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convexity.html
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<body>
<p>A function \(f(x)\) is convex if:</p>
<p>\[<br/>
f(\alpha x + (1 - \alpha) x) = f(\alpha x) + f((1- \alpha) x)<br/>
\]</p>
<p>A shape is convex if any two points inside the shape are connected by a line that never passes outside of the shape.</p>
<p>Disc goes here.<br/>
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" alt="ConvexDisc"/></p>
<p>Disc with hole goes here.<br/>
<img 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xMYGKg6deqUUmoAAG7fxYsXFRsba/hBU2ksqeDn56fOnTurS5cujo3bWgEABSjiAMBFXb582VG2FZRvdzs7oFq1agoKClJQUJA6duyowMBAtWnTRp6enqWUGgCAslNWDxlq0KCBoZjr2rWrqlWrVkqpAQAVCUUcALiAvLw8HThwQNu3b9e2bdu0fft2xcfH39WaObVq1XKskRMcHKygoCD5+/vLZrOVYnIAAKyVk5OjQ4cOGcq52NhYXbly5Y4/02azqU2bNurevbu6d++uHj16qG3btrLb7aWYHABQHlHEAYATOn/+vHbs2OEo3Xbu3KmUlJQ7/ry6deuqS5cuhuKtUaNGpZgYAICKIz8/X0lJSYZybs+ePTp9+vQdf2aVKlXUtWtX9ejRw1HQ1axZsxRTAwDKA4o4AHACCQkJio6OVlRUlKKiopSYmHjHn1WtWjXHgtMFt89QugEAcHPJycmGdVZ37959V2uttmjRQr1791bv3r3Vq1cvtWrVqhTTAgCsQBEHABVMdna2fvzxR0VFRSk6OlrR0dF3/BRTb29vBQUFGdatadmyJbeXAgBQCvLz85WYmOgo53bu3KnY2Ng7XnOudu3a6tmzp6OcCw4OZh1WAKhgKOIAoJxLS0tTdHS0tmzZoqioKO3atUvp6el39FlNmjQx3PISFBQkDw+PUk4MAABKkp2drb179zqWj9i2bZuSkpLu6LO8vb3VtWtX9e7dW/369VPPnj3l6+tbyokBAKWJIg4AypmrV686irctW7Zo9+7dysnJue3P8fX1VefOnQ3FW926dcsgMQAAuBtnz541FHO7d+9WWlrabX+Ou7u7OnfurL59+6pv377q1auXqlatWgaJAQB3iiIOACx2+fJl/fDDD47iLSYmRrm5ubf9OQ0aNDCsI9OhQwe5ubmVQWIAAFCWcnNztW/fPsP6r8nJybf9OW5ubgoKCnIUc3369FH16tXLIDEA4FZRxAGAydLT0xUVFaXIyEhFRkZqz549ysvLu63PsNlsCggIMBRvTZo0KZvAAADAcseOHTMUcwcOHNDtXsrZ7XZ16tRJAwYMUEhIiHr37i0fH58ySgwAKA5FHACUsZycHO3cudNRvG3btk1ZWVm39RkeHh7q0qWL+vbtq969e6tnz578RBsAABd2+fJlbd26VVFRUdqyZYt27dql7Ozs2/oMT09P9ejRQyEhIRowYIC6du3K2rEAUMYo4gCgDBw4cEAbN27Upk2b9N///lepqam39X4vLy9169bNcStJjx49VKlSpTJKCwAAKrpr165p27ZtjqUuduzYoczMzNv6jMqVK6tPnz669957NWjQILVt27aM0gKA66KIA4BScOHCBW3atEkbNmzQxo0bb3sdFx8fH3Xv3t1RvHXv3l3e3t5llBYAADi7jIwMbd++3VHMbd++/bafut6gQQMNHDhQgwYN0m9+8xvVrFmzjNICgOugiAOAO5CTk6Nt27Y5ircff/zxttZ5c3d3V9euXR1rtPTo0UNeXl5lmBgAALiyzMxMbdu2TZGRkfruu++0c+fO23oqu91uV3BwsKOY69GjB7exAsAdoIgDgFuUnJysiIgIRUREKDIyUikpKbf8XpvNpg4dOjiKt1//+teqUqVKGaYFAAAoWUpKiv773/86irl9+/bd1sMfqlSponvvvVehoaG67777VL9+/TJMCwDOgyIOAEqQm5urHTt2aP369YqIiFBsbOxtvb9JkyYaOHCgYwHkWrVqlVFSAACAu3Pu3Dlt3rxZkZGR2rhxo44dO3Zb7w8KClJoaKhCQ0PVrVs3ubm5lU1QAKjgKOIA4DoXLlzQN998o4iICH3zzTe6ePHiLb/X19dX/fv3d9yy0bJlyzJMCgAAUHYOHz7sWIJj8+bNSktLu+X3+vn5adCgQY7ZcqwtBwD/QxEHwOUlJiYqPDxca9euVXR09C2v9Waz2dSxY0cNGjRIAwcOVK9eveTp6VnGaQEAAMyVlZWl6Ohobdy4URs2bFBsbOwt38bq5uamXr16KSwsTGFhYWrRokUZpwWA8o0iDoDLycvL044dOxQeHq7w8HDFx8ff8ntr1KihQYMGafDgwRo4cKDq1KlThkkBAADKn7Nnz2rjxo1av369NmzYoEuXLt3ye9u0aaOhQ4cqLCxM3bp1k91uL8OkAFD+UMQBcAnp6enatGmTwsPD9fXXX+vMmTO3/N4OHTpo8ODBCg0NVY8ePVjzBAAA4P/Jzc3Vtm3bFBERofXr12vfvn23/N46dero/vvvV1hYmAYOHChvb+8yTAoA5QNFHACnlZqaqvXr12v16tWKiIi45bVNfH19FRIS4ijfGjZsWMZJAQAAnMOJEyccpVxkZOQt//urcuXKCg0N1bBhwxQaGqrKlSuXcVIAsAZFHACncvnyZa1du1arV6/Wxo0blZGRcUvvq1evnmPtkpCQEHl5eZVxUgAAAOeWmZmpyMhIrV27VmvXrtWpU6du6X3e3t4aNGiQhg0bpvvvv1/Vq1cv46QAYB6KOAAV3rlz5xQeHq7Vq1crMjJS2dnZt/S+du3aKSwsTEOHDlWXLl1ks9nKOCkAAIBrys/P165du7R27VqFh4crLi7ult7n4eGhAQMGaNiwYXrggQdUu3btMk4KAGWLIg5AhXTp0iX9+9//1ooVKxQZGanc3NybvsfNzU19+vRxlG/NmjUzISkAAAAKO3r0qOOp9T/88MMt/VvO3d1dAwYM0MiRI/Xggw8yUw5AhUQRB6DCSE1NVXh4uFasWKENGzYoKyvrpu/x8PBQSEiI46eotWrVMiEpAAAAbtX58+cVHh6uVatW6bvvvrulf+N5enpq0KBBevjhhzV06FDWlANQYVDEASjX0tPTtX79eq1YsULr169Xenr6Td9z/boiYWFhqlatmglJAQAAcLeuXLniWO93w4YNt7Ter4+PjwYPHqyHH35YgwcPlo+PjwlJAeDOUMQBKHfy8vK0efNmLVmyRKtXr1ZKSspN3+Pr66vBgwfzpC0AAAAnkZqaqoiICK1evVrr16+/pSewVqlSRcOGDdPo0aPVv39/2e12E5ICwK2jiANQbuzfv19LlizRl19+qeTk5Jue7+3trdDQUI0cOVJDhgzhp58AAABOKj09XV9//bWWL1+uiIiIW5op16BBAz3yyCMaPXq02rdvb0JKALg5ijgAljp16pSWLl2qxYsXa+/evTc938PDQwMHDtTIkSM1dOhQValSxYSUAAAAKC9SUlIUHh6u5cuXa+PGjcrOzr7pewIDAzVmzBiNGjVK9erVMyElABSPIg6A6dLT07VmzRp98cUX2rRpk/Ly8m54vpubm/r376+RI0fqoYceUo0aNUxKCgAAgPLs0qVLWrNmjZYvX67Nmzff9Omrbm5uCgkJ0aOPPqqHHnqIOyoAmI4iDoBpdu/erc8++0xLly7VlStXbnp+UFCQxowZo9///ve65557TEgIAACAiur06dNatmyZFi9erJiYmJueX61aNY0aNUqPP/64OnfubEJCAKCIA1DGLly4oCVLlmjBggXav3//Tc9v1KiRRo0apTFjxiggIMCEhAAAAHA2Bw4c0OLFi7V06VIdP378pue3b99e48eP1+jRo1WzZk0TEgJwVRRxAEpdXl6eNm7cqAULFmjt2rXKysq64flVq1bVsGHDNGbMGPXr1082m82kpAAAAHBm+fn5+v7777V48WKtXr1aV69eveH5np6eCgsL0/jx4zVw4ECeugqg1FHEASg1J0+e1CeffKJPP/1UJ06cuOG5drtdv/nNb/T4448rLCyM9TkAAABQptLT0xUeHq6FCxfq22+/vek6xQ0bNtSECRP0xBNPqH79+ialBODsKOIA3JX8/Hx9++23mj9/vtatW6ecnJwbnt+0aVM99thjGjdunBo1amRSSgAAAOB/jh8/roULF+rzzz9XUlLSDc91d3fX/fffr4kTJ+ree+/l7g0Ad4UiDsAdOX/+vD7//HP985//1E8//XTDc318fPTQQw/p8ccfV//+/fnHCwAAAMqF/Px8bd68WZ999pnWrFmj9PT0G57v7++vp556So899phq1aplUkoAzoQiDsBtiYqK0vz587Vq1SplZmbe8NzOnTvr8ccf16hRo1StWjWTEgIAAAC378qVK1q6dKk+++wz7d69+4bnenl5afjw4Zo4caJ69+5tUkIAzoAiDsBNZWRkaNmyZfrggw+0d+/eG55buXJlPfLII5o4caI6duxoUkIAAACg9MTGxmr+/Pn68ssvlZqaesNzAwMD9cILL+j3v/+9vL29TUoIoKKiiANQopMnT+qjjz7Sxx9/rHPnzt3w3A4dOmjixIkaPXq0qlSpYlJCAAAAoOykpKRoyZIlmj9/vvbt23fDc2vXrq0nn3xSzzzzDA93AFAiijgARWzfvl1z587VqlWrlJ2dXeJ53t7eGjFihJ5++mn16NHDxIQAAACAubZt26Z//OMfWrlypTIyMko8z8PDQ8OGDdMLL7yg7t27m5gQQEVAEQdAkpSdna1//etfmjt3rnbu3HnDc1u0aKGJEydq3Lhx8vPzMykhAAAAYL2LFy9q4cKFmj9/vhITE294bteuXfX888/rd7/7nTw8PExKCKA8o4gDXFxKSoo++eQTvf/++zp+/HiJ59lsNt177716/vnnFRoaypNPAQAA4NLy8/MVERGhuXPn6ttvv9WNLq0bNWqkP/7xj3riiSdYxgVwcRRxgIs6deqU5s6dq/nz5+vy5cslnufr66sxY8bo+eefV5s2bUxMCAAAAFQMhw4d0ty5c7V48WKlpaWVeF716tU1ceJEPf/886pXr56JCQGUFxRxgIuJj4/Xu+++q8WLFysrK6vE85o0aaJnn31WEyZMUPXq1U1MCAAAAFRMly9f1qeffqp58+bp2LFjJZ7n6empMWPG6E9/+pNat25tXkAAlqOIA1xEdHS03nnnHX399dc3nDbfp08fvfjiiwoLC5Obm5uJCQEAAADnkJubq7Vr1+pvf/ubfvjhhxLPs9lsGjJkiF5++WX16tXLxIQArEIRBzi5yMhIzZgxQ1u2bCnxHLvdrgceeEBTpkzhyU4AAABAKdq+fbtmz56tr776Snl5eSWe169fP02fPl0hISEmpgNgNoo4wElFRERo5syZ2rZtW4nneHt7a+zYsZo8ebJatGhhYjoAAADAtSQmJmrOnDlatGiRMjIySjyvR48e+r//+z/dd999JqYDYBaKOMCJ5OfnKzw8XDNmzNCePXtKPM/Pz0/PPPOM/vCHP6hOnTomJgQAAABc29mzZ/Xhhx/qo48+0sWLF0s8r1OnTpo+fbqGDh0qm81mYkIAZYkiDnACeXl5WrlypWbNmqX9+/eXeF6jRo30pz/9SePHj5evr6+JCQEAAABcLy0tTQsWLNC7776r48ePl3he+/btNW3aNI0YMUJ2u93EhADKAkUcUIHl5+fr3//+t1577TUdOHCgxPOaNm2qV199VWPHjpWnp6eJCQEAAADcSFZWlhYtWqS3335bSUlJJZ4XEBCgN998Uw8++CAz5IAKjCIOqKD+85//aPr06Te8BbVVq1aaOnWqRo0aJXd3dxPTAQAAALgdOTk5Wrp0qd566y0lJCSUeF5wcLBmzpzJGnJABUURB1Qwmzdv1vTp07V169YSz2nXrp2mTZum3/3ud0xfBwAAACqQvLw8/etf/9KsWbMUFxdX4nk9e/bUzJkz1b9/fxPTAbhbFHFABbF9+3ZNnz5dkZGRJZ7TsWNHvfbaa3rggQeYrg4AAABUYPn5+frqq6/05ptvKjY2tsTzQkJCNHPmTHXv3t3EdADuFEUcUM7Fx8fr5Zdf1tq1a0s8p02bNvrzn/+s4cOHU8ABAAAATiQ/P1+rVq3S66+/rkOHDpV4XlhYmN555x21bt3axHQAbhf3rAHl1JkzZ/T000+rffv2JZZwzZo106JFixQXF6cRI0ZQwgEAAABOxmazacSIEYqLi9OiRYvUrFmzYs9bu3at2rdvr6efflpnzpwxOSWAW8WMOKCcSUtL05w5czR79mylpqYWe07Dhg31f//3f3rsscfk4eFhckIAAAAAVsnOztbnn3+uGTNm6MSJE8WeU7lyZU2ZMkWTJ0+Wr6+vyQkB3AhFHFBO5Obm6rPPPtPrr7+uU6dOFXtOnTp1NHXqVE2cOFFeXl4mJwQAAABQXmRmZmr+/Pl66623dPbs2WLPqVevnv785z/r8ccfl5ubm8kJARSHIg4oB7755htNnjxZBw8eLPZ4pUqVNGnSJL300kuqUqWKyekAAAAAlFcpKSn661//qvfee0/Xrl0r9py2bdtqzpw5+u1vf2tyOgCFUcQBFvrpp580adKkEteAc3Nz07hx4/Tmm2+qfv36JqcDAAAAUFGcPHlSr732mhYuXKjc3NxizwkLCxH4ncEAACAASURBVNN7770nf39/k9MBKEARB1ggLS1Nb731lubMmaPMzMxizwkNDdU777yjdu3amZwOAAAAQEUVFxenl19+WREREcUe9/Ly0uTJkzV16lTWjwMsQBEHmGzZsmWaMmWKkpOTiz0eHBys2bNna8CAASYnAwAAAOAsvvvuO02ZMkV79uwp9niDBg00e/Zs/f73vzc5GeDaKOIAk8TGxuoPf/iDoqKiij1+zz336O2339bYsWNls9lMTgcAAADA2eTn52vRokV65ZVXdObMmWLP6d27tz788EN17NjR5HSAa7JbHQBwdleuXNGzzz6rTp06FVvCeXh4aPLkyUpISNC4ceMo4QAAAACUCpvNpnHjxunw4cOaPHmyPDw8ipwTFRWlTp066dlnn9WVK1csSAm4FmbEAWVo5cqVeuGFF3Tq1Klijw8aNEgffPCBWrVqZXIyAAAAAK4mPj5ef/zjH7Vhw4Zij9erV08ffPCBRowYYXIywHVQxAFl4Oeff9azzz6r9evXF3vc399f7733nsLCwkxOBgAAAMDVhYeHa9KkSTp69GixxwcPHqx58+bpV7/6lcnJAOfHralAKcrJydGcOXMUEBBQbAnn6+urWbNm6cCBA5RwAAAAACwxdOhQHTx4UDNnziz2yanr169XQECA5syZo9zcXAsSAs6LGXFAKdm1a5eefPJJxcbGFnt8yJAhmjdvnho3bmxyMgAAAAAo3i+//KLnnntO69atK/Z4x44d9fHHH6tLly4mJwOcEzPigLuUnp6uF198Ud27dy+2hKtfv75WrlypdevWUcIBAAAAKFcaN26stWvXatWqVapfv36R47GxserevbtefPFFpaenW5AQcC7MiAPuwtatWzVu3DglJiYWOWa32zVx4kS9/fbbqlq1qgXpAAAAAODWXb16Va+88or++c9/Ki8vr8jxFi1aaOHCherZs6cF6QDnwIw44A5kZGRoypQp6tOnT7ElXIcOHRQdHa158+ZRwgEAAACoEKpWraqPPvpI0dHRat++fZHjiYmJ6tOnj6ZMmaKMjAwLEgIVHzPigNu0Y8cOjRs3TvHx8UWO+fj46I033tCkSZPk7u5uQToAAAAAuHvZ2dl69913NWPGjGJvSW3durUWLlyobt26WZAOqLgo4oBblJmZqTfeeEOzZ88u9slBPXr00MKFC9WyZUsL0gEAAABA6Tty5IjGjRun6OjoIsfc3Nw0ZcoUvfHGG/Ly8rIgHVDxUMQBt2Dv3r165JFHdODAgSLHvL29NWPGDE2aNEl2O3d7AwAAAHAueXl5+tvf/qbp06cXe0tqQECAvvzySwUGBlqQDqhYKOKAG8jPz9cHH3ygV155RZmZmUWOd+3aVQsXLlSbNm0sSAcAAAAA5omPj9fYsWO1c+fOIse8vLz0l7/8RS+88IJsNpsF6YCKgek7QAnOnj2rwYMH68UXXyxSwnl6euqtt97S1q1bKeEAAAAAuITWrVtr69atmjVrljw9PQ3HMjMz9eKLL2rw4ME6e/asRQmB8o8ZcUAxNmzYoLFjx+rMmTNFjnXq1EmLFi1SQECABckAAAAAwHr79+/X2LFjFRMTU+RY3bp1tWjRIg0aNMiCZED5xow44DpZWVmaPHmy7rvvviIlnM1m00svvaRt27ZRwgEAAABwae3bt9eOHTs0bdq0ImtlnzlzRvfdd58mT56srKwsixIC5RMz4oD/5/Dhwxo5cmSxP9GpX7++vvjiC4WEhFiQDAAAAADKr++//16jR49WcnJykWNBQUFavny5WrZsaUEyoPxhRhwgac2aNercuXOxJdz999+vvXv3UsIBAAAAQDH69eunvXv3KiwsrMixmJgYdenSRWvWrLEgGVD+UMTBpeXk5GjKlCkaNmyYUlJSDMe8vb3197//XWvXrlWtWrUsSggAAAAA5V/NmjUVHh6uDz/8UF5eXoZjV69e1bBhwzRlyhTl5ORYlBAoH7g1FS7rzJkzevjhh7Vly5YixwICArR8+XK1a9fOgmQAAAAAUHHt27dPI0eO1KFDh4oc69u3r1asWKG6detakAywHjPi4JKioqIUFBRUbAk3duxY7dq1ixIOAAAAAO5Ahw4dtHv3bk2YMKHIsS1btigoKEhRUVEWJAOsRxEHl/P++++rf//+OnXqlGHcy8tL//znP7Vw4UL5+PhYlA4AAAAAKr5KlSrpk08+0eeffy5vb2/DsVOnTql///56//33LUoHWIdbU+EyMjIyNH78eC1durTIsV/96ldatWqVOnfubEEyAAAAAHBee/bs0bBhw3Ts2LEix0aNGqUFCxYUKesAZ0URB5dw5swZDR06VDt27ChybNCgQfryyy9Vs2ZNC5IBAAAAgPO7ePGiRo0apQ0bNhQ51q1bN4WHh7NuHFwCt6bC6e3du1ddunQpUsLZbDa99tprioiIoIQDAAAAgDLk5+eniIgITZ8+XTabzXBsx44d6tKli/bu3WtROsA8zIiDU/vqq680evRopaWlGcarVq2qZcuWKTQ01KJkAAAAAOCa1q1bpzFjxujKlSuGcV9fXy1ZskQPPPCARcmAsseMODitd955Rw899FCREq5Zs2batm0bJRwAAAAAWOD+++/Xrl271KpVK8N4WlqaHnroIb3zzjsWJQPKHjPi4HSysrL0xBNP6Isvvihy7Ne//rVWr16tWrVqWZAMAAAAAFDg0qVLGj58uL777rsixx599FF98skn8vT0tCAZUHaYEQenkpKSosGDBxdbwj3++OP69ttvKeEAAAAAoByoUaOGvvnmG02YMKHIsS+++EKDBw9WSkqKBcmAskMRB6dx9uxZ9e/fX5s2bTKM2+12zZ49WwsWLOCnKQAAAABQjnh4eOiTTz7RX//6V9ntxopi06ZN6t+/v86ePWtROqD0cWsqnMLRo0c1cOBA/fTTT4bxypUra9myZRoyZIhFyQAAAAAAt6Kkh+35+/tr48aNatasmUXJgNJDEYcKLyYmRvfdd5/OnDljGK9Tp44iIiLUqVMni5IBAAAAAG7Hnj17FBYWpuTkZMN43bp19Z///EdBQUEWJQNKB7emokKLjIxU3759i5RwzZo1U3R0NCUcAAAAAFQgwcHB2rp1a5Enqp45c0Z9+/ZVZGSkRcmA0kERhwpr9erVCg0NLbJ4Z1BQkLZu3armzZtblAwAAAAAcKcaN26sqKgode7c2TCekpKi0NBQrV692qJkwN2jiEOFtHz5co0cOVJZWVmG8ZCQEG3ZskV169a1KBkAAAAA4G7VqlVLmzdvVkhIiGE8KytLI0eO1PLlyy1KBtwdijhUOIsXL9bo0aOVk5NjGH/44YcVERGhKlWqWJQMAAAAAFBaKleurIiICA0fPtwwnpOTo9GjR2vx4sUWJQPuHEUcKpTPPvtM48aNU25urmH8mWee0bJly+Tp6WlRMgAAAABAafP09NSKFSv01FNPGcZzc3M1btw4ff755xYlA+4MRRwqjI8//lgTJkxQXl6eYfzFF1/UvHnzZLPZLEoGAAAAACgrdrtd8+fP17Rp0wzjeXl5Gj9+vD7++GOLkgG3z+2NN954w+oQwM3MmzdPzz77rPLz8w3jL730kt59912LUgEAAAAAzDJgwADZbDZ9//33hvH169erVq1a6tq1qzXBgNtAEYdyb968eXruueeKjE+bNk1vv/22BYkAAAAAAFbo16+f7HZ7kTIuIiJCtWvXpoxDuWfLLzzFCChHlixZokcffbTITLg33nhDr7/+ukWpAAAAAABWevPNN4tcE9psNn3xxRcaPXq0RamAm6OIQ7kVHh6u4cOHF3k66ltvvaVXX33VolQAAAAAgPKguDLO3d1dq1evVlhYmEWpgBujiEO59N133yk0NFSZmZmG8VmzZmnq1KkWpQIAAAAAlCczZszQa6+9Zhjz8vJSRESEBgwYYFEqoGQUcSh3du7cqZCQEKWmphrGp0yZor/+9a8WpQIAAAAAlEfFzYyrXLmyIiMjWTMO5Q5FHMqVuLg49e3bVxcvXjSMP/HEEzySGgAAAABQrEmTJulvf/ubYczPz09btmxRu3btLEoFFEURh3Lj6NGj6t27t06dOmUYf/jhh7V06VLZ7XaLkgEAAAAAyrP8/HyNHTtWixcvNozXq1dPUVFRatasmUXJACOKOJQLFy5cUM+ePXX48GHDeGhoqL766it5eHhYlAwAAAAAUBHk5OTogQce0Pr16w3jLVu21NatW1WzZk2LkgH/wxQjWC4jI0NDhw4tUsL9+te/1qpVqyjhAAAAAAA35e7urpUrV6pXr16G8cOHD2vo0KHKyMiwKBnwPxRxsFR+fr4effRRRUdHG8YDAwO1bt06+fj4WJQMAAAAAFDR+Pj46Ouvv1b79u0N49HR0Xr00UfFTYGwGkUcLDVt2jStXLnSMFa/fn19/fXXqlq1qkWpAAAAAAAVVfXq1bVhwwY1adLEML5y5UpNmzbNmlDA/8MacbDMl19+qdGjRxvGfH199d///lfBwcEWpQIAAAAAOIODBw+qR48eunr1qmF8yZIleuSRRyxKBVdHEQdLbN++Xf369VNmZqZjzG63a82aNRo6dKiFyQAAAAAAzuKbb77RkCFDlJub6xjz8vLS999/r+7du1uYDK6KW1NhuuTkZD344IOGEk6SZs+eTQkHAAAAACg1v/3tbzVnzhzDWGZmph588EGdPHnSolRwZRRxMFVWVpaGDx+u06dPG8afeuopTZo0yaJUAAAAAABn9cILL+jJJ580jJ0+fVrDhg1TVlaWRangqijiYKo//OEP2r59u2Fs4MCB+vvf/25RIgAAAACAs5s3b54GDBhgGNu+fbuef/55ixLBVbFGHEyzYMECTZgwwTDWtGlT/fjjj6pRo4ZFqQAAAAAAruDSpUvq1q2bEhMTDeOffvqpxo8fb1EquBqKOJhi37596tatmzIyMhxj3t7eio6O5gmpAAAAAABTHDx4UF27dlVaWppjzNvbWzt27FCHDh0sTAZXwa2pKHMpKSkaMWKEoYSTpA8//JASDgAAAABgmrZt22r+/PmGsYyMDI0YMUIpKSkWpYIroYhDmXvyySd1+PBhw9hjjz1W5DZVAAAAAADK2ujRo/XEE08Yxg4fPlzkgQ5AWeDWVJSp4taF69ixo7Zu3SofHx+LUgEAAAAAXFlGRoZ69Oih2NhYwzjrxaGsUcShzBw+fFjBwcGGe++rV6+u3bt3y9/f38JkAAAAAABXd+TIEXXq1ElXr151jPn6+iomJkYtWrSwMBmcGbemokxkZ2frkUceMZRwkrRw4UJKOAAAAACA5Zo3b67PPvvMMJaWlqZRo0YpOzvbolRwdhRxKBOvv/66du/ebRh7+umnNXToUIsSAQAAAABgNGzYMD333HOGsd27d+v111+3KBGcHbemotRt375dvXv3Vm5urmOsTZs2+vHHH1kXDgAAAABQrqSnpysoKEgJCQmOMTc3N0VFRal79+4WJoMzoohDqSruLzBPT0/t3LlTgYGBFiYDAAAAAKB4O3fuVM+ePQ0TSlq1aqWYmBgmlKBUcWsqStXUqVMNJZwk/fnPf6aEAwAAAACUW127dtWrr75qGEtISNDUqVMtSgRnxYw4lJpt27apd+/eysvLc4x1795dUVFRcnNzszAZAAAAAAA3lp2drW7duikmJsYxZrfbFRUVpR49eliYDM6EIg6lIisrS8HBwTpw4IBjzMfHRzExMWrVqpWFyQAAAAAAuDUHDhxQp06dlJmZ6RgLCAjQnj175OnpaWEyOAtuTUWpePvttw0lnCTNmDGDEg4AAAAAUGEEBARo5syZhrEDBw7oL3/5i0WJ4GyYEYe7Fh8fr8DAQGVlZTnGOnXqpB07dnBLKgAAAACgQsnLy1O3bt20e/dux5inp6f27t2r1q1bW5gMzoAZcbhrzz33nKGEc3d316effkoJBwAAAACocOx2u/7xj3/Ibv9fZZKVlaXnnnvOwlRwFhRxuCsrVqxQZGSkYWzy5Mnq2LGjRYkAAAAAALg7nTt31tNPP20Yi4yM1IoVKyxKBGfBram4Y6mpqWrdurWSk5MdY40bN9ahQ4dUqVIlC5MBAAAAAHB3rly5otatW+v06dOOsQYNGig+Pl6VK1e2MBkqMmbE4Y7NmjXLUMJJ0vvvv08JBwAAAACo8KpVq6b33nvPMJacnKxZs2ZZlAjOgBlxuCPHjh1T69atDY90/u1vf6v//Oc/FqYCAAAAAKB0/eY3vzEsyeTl5aX4+Hg1adLEulCosJgRhzvy0ksvGUo4Dw8PzZ0718JEAAAAAACUvo8++kienp6O/czMTL300ksWJkJFRhGH2xYdHa2VK1caxp577jm1aNHCokQAAAAAAJSNli1bFnlww8qVKxUdHW1RIlRk3JqK29a7d2/DXzg1a9bUkSNHVL16dQtTAQAAAABQNi5cuCB/f39duXLFMdarVy9FRUVZmAoVETPicFvWrVtXpPV/4403KOEAAAAAAE6rZs2aevnllw1j0dHRWrdunUWJUFExIw63LC8vT4GBgYqLi3OMNWvWTPHx8fLw8LAwGQAAAAAAZSs9PV0tWrRQcnKyY6xdu3bau3ev7HbmOeHW8DsFt2zZsmWGEk6SZsyYQQkHAAAAAHB6Pj4+evPNNw1jcXFxWrZsmUWJUBExIw63JC8vT23btlVCQoJjLDAwUDExMbLZbBYmAwAAAADAHMXdKdaqVSsdPHiQWXG4JfwuwS1ZtmyZoYSTpJkzZ1LCAQAAAABcht1u11tvvWUYS0hIYFYcbhkz4nBTeXl5CggIUHx8vGOsU6dO2r17t4WpAAAAAACwRlBQkGJjYx37rVu31oEDB5gVh5vidwhuavXq1YYSTpJef/11i9IAAAAAAGCtqVOnGvbj4+O1evVqi9KgImFGHG6qc+fO+vHHHx37wcHBhn0AAAAAAFxJceuoc+cYbgUz4nBDkZGRRUq3V1991aI0AAAAAABYz26365VXXjGM/fjjj4qMjLQoESoKZsThhgYNGqSNGzc69ps3b66EhATuewcAAAAAuLTs7Gy1aNFCP//8s2Ns4MCB2rBhg4WpUN7RpqBEBw8eNJRwkjRlyhRKOAAAAACAy/Pw8NCUKVMMYxs3btTBgwctSoSKgEYFJZo7d65hv06dOho7dqxFaQAAAAAAKF/Gjx+vOnXqGMYKX0sD16OIQ7EuXbqkxYsXG8aeeuopeXl5WZQIAAAAAIDyxdvbWxMmTDCMLV68WJcuXbIoEco7ijgUa8GCBbp27Zpj38PDQ08//bSFiQAAAAAAKH+eeuopubm5OfavXbumBQsWWJgI5RlFHIrIz8/Xxx9/bBgbMWKE6tWrZ1EiAAAAAADKp8aNG2vw4MGGsY8//lg8GxPFoYhDEd9//70SExMNY88++6xFaQAAAAAAKN+eeeYZw35iYqK+//57a8KgXKOIQxGFZ8MFBASoZ8+eFqUBAAAAAKB8GzhwoJo3b24YK3xtDUgUcSjk4sWLWrNmjWHsySeftCgNAAAAAADln81m08SJEw1ja9as0cWLFy1KhPKKIg4GK1asUFZWlmPf29tbY8aMsTARAAAAAADl32OPPSZvb2/HflZWllasWGFhIpRHFHEw+OKLLwz7Q4cOVY0aNSxKAwAAAABAxeDn56ehQ4caxgpfYwMUcXBITEzU9u3bDWOPPvqoRWkAAAAAAKhYCl9Db9++vcjDEOHaKOLgsGTJEsN+nTp1NHDgQIvSAAAAAABQsQwcOFB16tQxjBW+1oZro4iDw7/+9S/D/qhRo+Tu7m5RGgAAAAAAKhZ3d3eNGjXKMFb4WhuujSIOkqS4uDjFx8cbxkaOHGlRGgAAAAAAKqbC19Lx8fGKi4uzKA3KG4o4SJJWrlxp2G/cuLG6detmURoAAAAAACqmbt26qXHjxoaxwtfccF0UcZBU9C+F4cOHW5QEAAAAAICKrfA1NUUcClDEQYmJiTp06JBhbMSIERalAQAAAACgYit8TX3o0CGengpJFHGQtG7dOsN+/fr1uS0VAAAAAIA71K1bN9WvX98wVvjaG66JIg5F/jIYMmSIbDabRWkAAAAAAKjYbDabBg8ebBijiINEEefyLl++rKioKMPYkCFDLEoDAAAAAIBzuP/++w37UVFRunz5skVpUF5QxLm4jRs3Kicnx7Hv4+OjkJAQCxMBAAAAAFDxhYSEyMfHx7Gfk5OjjRs3WpgI5QFFnIv79ttvDfv9+/dXpUqVLEoDAAAAAIBzqFSpkvr3728Y27Rpk0VpUF5QxLm4wn8J3HvvvRYlAQAAAADAuRS+xi48GQauhyLOhR05ckTHjh0zjFHEAQAAAABQOgpfYx87dkxHjhyxKA3KA4o4F1Z4Nly9evUUEBBgURoAAAAAAJxLQECA6tWrZxjj9lTXRhHnwrZs2WLY5yENAAAAAACUrsLX2oWvxeFaKOJc2A8//GDY79evnzVBAAAAAABwUoWvtQtfi8O1UMS5qKSkJCUnJxvG+vTpY1EaAAAAAACcU+Fr7eTkZCUlJVmUBlajiHNRhRv4OnXqqGXLlhalAQAAAADAObVs2VJ16tQxjDErznVRxLmorVu3GvZ79+5tURIAAAAAAJxb4WvuwtfkcB0UcS5q586dhv1evXpZlAQAAAAAAOdW+Jq78DU5XAdFnAvKyMjQ/v37DWNdunSxKA0AAAAAAM6t8DX3/v37lZGRYVEaWIkizgXFxMQoJyfHse/m5qbg4GALEwEAAAAA4LyCg4Pl5ubm2M/JyVFMTIyFiWAVijgXtGvXLsN+mzZt5Ovra1EaAAAAAACcm6+vr9q0aWMYK3xtDtdAEeeCYmNjDfvclgoAAAAAQNkqfO1d+NocroEizgXt3bvXsB8UFGRREgAAAAAAXEPha+/C1+ZwDRRxLiY3N1cHDx40jHXo0MGiNAAAAAAAuIbC194HDx5Ubm6uRWlgFYo4F5OQkFDkySzt27e3KA0AAAAAAK6h8LV3RkaGEhISLEoDq1DEuZj9+/cb9hs0aCA/Pz+L0gAAAAAA4Br8/PzUoEEDw1hcXJxFaWAVijgXU7htZzYcAAAAAADmKHwNHh8fb1ESWIUizsUU/kPeunVri5IAAAAAAOBaCl+DU8S5Hoo4F1N4RlzLli0tSgIAAAAAgGspfA3OGnGuhyLOheTn5xf5Q96qVSuL0gAAAAAA4FoKX4MnJCQoPz/fojSwAkWcCzl9+rTS0tIMYxRxAAAAAACYo/A1eFpamk6fPm1RGliBIs6FJCUlGfZ9fHyKPLEFAAAAAACUjfr168vHx8cwVvhaHc6NIs6FHDt2zLD/q1/9ypogAAAAAAC4IJvNVuRavPC1OpwbRZwLKdyyN2nSxJogAAAAAAC4qMLX4syIcy0UcS6k8B9uZsQBAAAAAGCuwtfiFHGuhSLOhZw4ccKwz4w4AAAAAADMVfhavPC1OpwbRZwLOXnypGG/YcOGFiUBAAAAAMA1Fb4WL3ytDudGEedCCv/hrl+/vkVJAAAAAABwTfXq1TPsU8S5Foo4F5GZmakLFy4Yxgr/4QcAAAAAAGWr8KSYCxcuKDMz06I0MBtFnIs4depUkTGKOAAAAAAAzFXctXhx1+xwThRxLuLcuXOGfW9vb1WvXt2iNAAAAAAAuKbq1avL29vbMFb4mh3OiyLORZw/f96wX6tWLYuSAAAAAADg2gpfkxe+ZofzoohzEYXXh6tZs6ZFSQAAAAAAcG2Fr8kLX7PDef1/7N13eFRl/v7xe0glkJBQRFdpIVRpCSWIoWMDlY7EBYQoKitKU9f2s4trQ9xFEUFAEVmqgICCEQhFeui9SIgsJkHAQCA9vz/87qxnBpSS5JnMeb+uiz+ez4Th1svBPHeecw5FnE24tuvly5c3lAQAAAAAAHtz3ZNzIs4+KOJsghNxAAAAAAB4Bk7E2RdFnE2kp6db1pyIAwAAAADADNc9ueueHd6LIs4mXD/UISEhhpIAAAAAAGBvrntyijj7oIizCdcPddmyZQ0lAQAAAADA3lz35BRx9kERZxNnz561rIODgw0lAQAAAADA3lz35K57dngvijibcP1QcyIOAAAAAAAzXPfkFHH2QRFnE5mZmZY1RRwAAAAAAGa47sld9+zwXhRxNpGVlWVZBwQEGEoCAAAAAIC9ue7JXffs8F4UcTbh2q5TxAEAAAAAYIa/v79lzYk4+6CIswnXdt31Qw8AAAAAAIoHJ+LsiyLOJijiAAAAAADwDK57coo4+6CIs4n8/HzLmiIOAAAAAAAzXPfkrnt2eC+KOJtw/VA7HA5DSQAAAAAAsDfXPTlFnH1QxNkEH2oAAAAAADxTQUGB6QgoJhRxNuH6oeZEHAAAAAAAZnAizr4o4myCdh0AAAAAAM/Ent0+KOJswsfHx3QEAAAAAABwEb6+vqYjoJhQxNmEn5+fZZ2Tk2MoCQAAAAAA9ua6J6eIsw+KOJtw/VBTxAEAAAAAYAZFnH1RxNmE64c6OzvbUBIAAAAAAOzNdU9OEWcfFHE2wYk4AAAAAAA8Ayfi7IsiziZKly5tWXMiDgAAAAAAM1z35K57dngvijibcP1QX7hwwVASAAAAAADszXVPThFnHxRxNhEUFGRZZ2RkGEoCAAAAAIC9ue7JXffs8F4UcTbh+qE+d+6coSQAAAAAANib656cIs4+KOJswvWYKyfiAAAAAAAwgxNx9kURZxMhISGWNUUcAAAAAABmuO7Jg4ODDSVBcaOIs4ly5cpZ1unp6YaSAAAAAABgb657ctc9O7wXRZxNuH6oT58+bSgJAAAAAAD2dubMGcuaIs4+KOJswvVD7fqhBwAAAAAAxcP1cExoaKihJChuFHE2wYk4AAAAAAA8g+uenBNx9kERZxMVKlSwrDkRBwAAAACAGa578vLlyxtKguJGEWcTFStWtKx/Mcbo/wAAIABJREFU+eUXQ0kAAAAAALA31z25654d3osiziZcP9SnTp1Sbm6uoTQAAAAAANhTbm6uTp06ZZlVqlTJUBoUN4o4m3D9UBcUFOjkyZOG0gAAAAAAYE8nT55UQUGBZcaJOPugiLOJChUqyOFwWGapqamG0gAAAAAAYE+ue3GHw+F2X3d4L4o4m/D19VVYWJhlRhEHAAAAAEDxct2Lh4WFydfX11AaFDeKOBv5y1/+YlmnpKQYSgIAAAAAgD257sVd9+rwbhRxNuL64T5+/LihJAAAAAAA2JPrXpwizl4o4mzkhhtusKwp4gAAAAAAKF6ue3HXvTq8G0WcjXAiDgAAAAAAszgRZ28UcTZCEQcAAAAAgFkUcfZGEWcjVatWtax/+uknQ0kAAAAAALAn1724614d3o0izkaqVatmWf/nP/9RTk6OoTQAAAAAANhLTk6O/vOf/1hmrnt1eDeKOBtx/XDn5+fr2LFjhtIAAAAAAGAvx44dU35+vmVGEWcvFHE2EhoaqpCQEMvs6NGjZsIAAAAAAGAzrnvwkJAQhYaGmgkDIyjibMb12nOKOAAAAAAAiofrHpz7w9kPRZzNhIeHW9YUcQAAAAAAFA/XPbjrHh3ejyLOZiIiIizrQ4cOGUoCAAAAAIC9uO7BXffo8H4UcTbj+iE/ePCgoSQAAAAAANiL6x6cIs5+KOJshiIOAAAAAAAzKOJAEWczNWvWtKzT09OVmppqKA0AAAAAAPaQmpqq9PR0y8x1jw7vRxFnM9WqVZO/v79lxqk4AAAAAACKluve29/fX9WqVTOUBqZQxNmMj4+PatWqZZnt27fPUBoAAAAAAOzBde9dq1Yt+fj4GEoDUyjibKhevXqW9Z49ewwlAQAAAADAHlz33q57c9gDRZwN1a1b17Leu3evoSQAAAAAANiD697bdW8Oe6CIsyFOxAEAAAAAULw4EQeJIs6WXD/sx44dU0ZGhqE0AAAAAAB4t4yMDB07dswyo4izJ4o4G6pbt67lhpAFBQWcigMAAAAAoIjs2bNHBQUFzrWPjw9FnE1RxNlQ6dKlFRERYZlt377dUBoAAAAAALyb6547IiJCgYGBhtLAJIo4m2rUqJFlvWPHDkNJAAAAAADwbq57btc9OeyDIs6mXD/0nIgDAAAAAKBouO65KeLsiyLOpho2bGhZcyIOAAAAAICi4brndt2Twz4o4myqcePGlvWZM2fcnuACAAAAAACuzbFjx3TmzBnLzHVPDvugiLOp6tWrq3z58pZZYmKioTQAAAAAAHgn1712+fLlVb16dTNhYBxFnI1FRkZa1ps3bzaUBAAAAAAA7+S613bdi8NeKOJsrGnTppb1li1bDCUBAAAAAMA7ue61XffisBeKOBuLioqyrCniAAAAAAAoXK57bde9OOyFIs7GXD/8aWlpSk5ONpQGAAAAAADvkpycrLS0NMuME3H2RhFnYxEREQoLC7PMNm7caCgNAAAAAADexXWPHRYWppo1axpKA09AEWdjDodDLVq0sMw2bNhgKA0AAAAAAN7FdY/dokULORwOQ2ngCSjibC46OtqyXr9+vaEkAAAAAAB4F9c9tuseHPZDEWdzrn8JbNmyRbm5uYbSAAAAAADgHXJzc90e1EARB4o4m3O9NPX8+fPasWOHoTQAAAAAAHiHHTt26Pz585aZ6x4c9kMRZ3MVK1Z0u1Ekl6cCAAAAAHBtXPfWERERqlixoqE08BQUcdCtt95qWa9Zs8ZQEgAAAAAAvIPr3tp17w17ooiDYmJiLGuKOAAAAAAArg1FHC6GIg5uRVxycrKSkpIMpQEAAAAAoGRLSkpScnKyZea694Y9UcRBdevWVYUKFSwzTsUBAAAAAHB1XPfUFSpUUN26dQ2lgSehiIMcDodatWplmVHEAQAAAABwdVz31K1atZLD4TCUBp6EIg6SpDZt2ljWCQkJhpIAAAAAAFCyue6pXffcsC+KOEiS2rVrZ1nv3btXKSkpZsIAAAAAAFBCpaSkaO/evZaZ654b9kURB0lSZGSkQkJCLLOVK1eaCQMAAAAAQAnlupcOCQlRZGSkmTDwOBRxkCT5+PiodevWltmKFSsMpQEAAAAAoGRy3Uu3bt1aPj4+htLA01DEwcn1qCxFHAAAAAAAV8Z1L81lqfg9ijg4tW/f3rI+cOCAjh8/bigNAAAAAAAly/Hjx3XgwAHLzHWvDXujiINTZGSkwsLCLLP4+HhDaQAAAAAAKFlc99BhYWHcHw4WFHFwKlWqlDp06GCZfffdd4bSAAAAAABQsrjuoTt06KBSpahe8D/81wCL2267zbKOj49XQUGBoTQAAAAAAJQMBQUFbifiXPfYAEUcLFz/kkhJSdHOnTsNpQEAAAAAoGTYuXOnUlJSLDOKOLiiiINFeHi4atSoYZlxeSoAAAAAAH/Mde9co0YNhYeHG0oDT0URBzeujf3SpUsNJQEAAAAAoGT49ttvLWtOw+FiKOLg5q677rKsV61apYyMDENpAAAAAADwbBkZGVq9erVl5rq3BiSKOFxEx44d5efn51xnZWVp+fLlBhMBAAAAAOC5li9frqysLOfaz89PHTt2NJgInooiDm6Cg4MVExNjmS1ZssRQGgAAAAAAPJvrnjkmJkbBwcGG0sCTUcTholyP0H7zzTeGkgAAAAAA4Nlc98xclopLoYjDRbn+pZGUlKQ9e/YYSgMAAAAAgGfas2ePkpKSLDOKOFwKRRwuqkGDBqpatapl9vXXXxtKAwAAAACAZ3LdK1etWlUNGjQwlAaejiIOl3T33Xdb1gsXLjSUBAAAAAAAz+S6V3bdSwO/RxGHS7r33nst6/Xr1ystLc1QGgAAAAAAPEtaWprWr19vmbnupYHfo4jDJbVr105ly5Z1rvPz87V48WKDiQAAAAAA8ByLFy9Wfn6+c122bFm1a9fOXCB4PIo4XFJAQIDuuOMOy4zLUwEAAAAA+I3rHvmOO+5QQECAoTQoCSji8Ifuuecey3rZsmXKzMw0lAYAAAAAAM+QmZmpZcuWWWaue2jAFUUc/lCXLl3k4+PjXGdkZGjp0qUGEwEAAAAAYN7SpUuVkZHhXPv4+KhLly4GE6EkoIjDH6pYsaLatGljmc2bN89QGgAAAAAAPIPr3rhNmzaqWLGioTQoKSji8Kd69OhhWX/99dfKzc01lAYAAAAAALNyc3P19ddfW2aue2fgYiji8Ke6desmh8PhXJ8+fVorV640FwgAAAAAAINWrlyp06dPO9cOh0PdunUzmAglBUUc/tRNN92k5s2bW2ZcngoAAAAAsCvXPXHz5s110003GUqDkoQiDpfF9YjtvHnzlJ+fbygNAAAAAABm5OfnuxVxXJaKy0URh8vSs2dPyzolJUUJCQmG0gAAAAAAYEZCQoJSUlIsM9c9M3ApFHG4LBEREYqKirLMZs2aZSgNAAAAAABmuO6Fo6KiFBERYSgNShqKOFy2Pn36WNbz5s1TXl6eoTQAAAAAABSvvLw8t8tSXffKwB+hiMNl6927t2WdmprK01MBAAAAALaxcuVKpaamWmaue2Xgj1DE4bKFh4erWbNmltnMmTMNpQEAAAAAoHi57oGbNWum8PBwQ2lQElHE4Yq4HrmdM2eOsrOzDaUBAAAAAKB4ZGdna86cOZYZl6XiSlHE4Yr07dtXDofDuT59+rQWL15sMBEAAAAAAEVv8eLFOn36tHPtcDjUt29fg4lQElHE4YpUqVJFbdu2tcy++OILQ2kAAAAAACgernvftm3bqkqVKobSoKSiiMMV69evn2W9ePFinTlzxlAaAAAAAACK1pkzZ9yuBnPdGwOXgyIOV6xXr14KDAx0rrOysjRr1iyDiQAAAAAAKDqzZs1SVlaWcx0YGKhevXoZTISSiiIOV6xcuXK6++67LTMuTwUAAAAAeCvXPe/dd9+tcuXKGUqDkowiDlelf//+lvWaNWuUlJRkKA0AAAAAAEUjKSlJa9asscy4LBVXiyIOV+Wuu+5S+fLlneuCggJNnz7dYCIAAAAAAArf9OnTVVBQ4FyXL19enTt3NpgIJRlFHK6Kn5+f7rvvPsuMy1MBAAAAAN7Gda973333yc/Pz1AalHQUcbhqrkdx9+7dqy1bthhKAwAAAABA4dqyZYv27t1rmXFZKq4FRRyuWqtWrRQeHm6ZcSoOAAAAAOAtXPe44eHhatWqlaE08AYUcbgmf/3rXy3r6dOnKzs721AaAAAAAAAKR3Z2ttu90F33wMCVoojDNRkwYIBlnZaWpgULFhhKAwAAAABA4ViwYIHS0tIsM9c9MHClKOJwTSIiItS2bVvLbNKkSYbSAAAAAABQOFz3tm3btlVERIShNPAWFHG4ZoMHD7as4+PjlZSUZCgNAAAAAADXJikpSfHx8ZaZ694XuBoUcbhmPXv2VGhoqHOdn5+vyZMnG0wEAAAAAMDVmzx5svLz853r0NBQ9ezZ02AieAuKOFyzwMBAt8c3T5kyxfKXFgAAAAAAJUF+fr6mTJlimfXr10+BgYGGEsGbUMShUDz00EOWdXJyspYuXWooDQAAAAAAV2fp0qVKTk62zFz3vMDVoohDoWjcuLGaNWtmmU2cONFQGgAAAAAAro7rXrZZs2Zq3LixoTTwNhRxKDSuPyFYtGiRUlJSDKUBAAAAAODKpKSkaNGiRZYZp+FQmCjiUGhiY2MVFBTkXOfk5Oizzz4zmAgAAAAAgMv32WefKScnx7kOCgpSbGyswUTwNhRxKDQhISHq06ePZfbpp58aSgMAAAAAwJVx3cP26dNHISEhhtLAG1HEoVC5Htk9cOCAVqxYYSgNAAAAAACXZ8WKFTpw4IBlNnjwYENp4K0o4lCobr31VtWrV88yGzdunKE0AAAAAABcHte9a/369dWqVStDaeCtKOJQ6P72t79Z1gsWLHB79DMAAAAAAJ4iOTlZCxYssMyGDBliKA28GUUcCt0DDzyg4OBg5zovL08ff/yxwUQAAAAAAFzaxx9/rLy8POc6ODhYDzzwgMFE8FYUcSh0wcHBGjBggGU2ceJEZWVlGUoEAAAAAMDFZWVlaeLEiZbZgAEDLAdMgMJCEYci8dhjj1nWaWlpmjVrlqE0AAAAAABc3KxZs5SWlmaZue5pgcJCEYciUa9ePXXs2NEy46ENAAAAAABP47pX7dixo9tDCIHCQhGHIjN06FDLeuPGjdq0aZOhNAAAAAAAWG3atEkbN260zFz3skBhoohDkbnnnntUtWpVy4xTcQAAAAAAT+G6R61ataruueceQ2lgBxRxKDI+Pj5uj3ueOXOmTp48aSgRAAAAAAC/OXnypGbOnGmZDRkyRD4+PoYSwQ4o4lCkHnroIQUEBDjXF3saDQAAAAAAxW3ixInKyspyrgMCAvTQQw8ZTAQ7oIhDkapYsaL69u1rmX388cfKzc01lAgAAAAAYHe5ubkaP368Zda3b19VrFjRUCLYBUUcipzrjS6PHTumOXPmGEoDAAAAALC7OXPmKDk52TLjIQ0oDo6CgoIC0yHg/W699Vb98MMPznXTpk21efNmg4kAAAAAAHbVrFkzbdmyxblu1aqV1q5dazAR7IITcSgWTz75pGW9ZcsWrVy50kwYAAAAAIBtrVy50lLCSe57VqCoUMShWHTt2lURERGW2XvvvWcoDQAAAADArlz3ohEREeratauhNLAbijgUi1KlSmnEiBGW2eLFi7Vv3z5DiQAAAAAAdrNv3z4tXrzYMhsxYoRKlaIeQfHgvzQUm4EDB6pChQrOdUFBAafiAAAAAADF5r333tPvb5VfoUIFDRw40Fwg2A5FHIpNUFCQhgwZYplNmzZNqamphhIBAAAAAOwiNTVV06ZNs8yGDBmioKAgQ4lgRxRxKFZDhw5VQECAc52VlaVx48YZTAQAAAAAsINx48YpKyvLuQ4ICNDQoUMNJoIdUcShWFWuXFn9+vWzzD766COdP3/eUCIAAAAAgLc7f/68PvroI8usX79+qly5sqFEsCuKOBS7UaNGyeFwONe//PKLpk6dai4QAAAAAMCrTZ06Vb/88otz7XA4NGrUKIOJYFeOgt/fpRAoJnfffbflSTURERHav38/T6oBAAAAABSq/Px81alTR4cOHXLOunTpokWLFhlMBbui9YARrj95OHTokObOnWsoDQAAAADAW82dO9dSwknue1KguHAiDsY0a9ZMW7Zsca4bN26sbdu2GUwEAAAAAPA2TZo00fbt253rpk2bavPmzQYTwc44EQdjnn32Wct6+/btHA0GAAAAABSaRYsWWUo4yX0vChQnTsTBmIKCAt18883au3evc9ayZUutW7fOYCoAAAAAgLe45ZZbtH79eue6Xr162r17t+UBgkBx4kQcjHE4HHruuecss/Xr1+v77783lAgAAAAA4C2+//57SwknSc899xwlHIziRByMysvLU+3atXXkyBHnrH379lq+fLnBVAAAAACAkq5Dhw5asWKFcx0eHq4DBw7Ix8fHYCrYHSfiYJSPj4/+/ve/W2YrVqzg8lQAAAAAwFVbt26dpYSTpGeeeYYSDsZxIg7GZWdnKzw8XMePH3fOOnfurMWLFxtMBQAAAAAoqbp06aIlS5Y41zfeeKOOHDkif39/g6kATsTBA/j7++upp56yzJYsWaKtW7caSgQAAAAAKKm2bt1qKeEk6amnnqKEg0fgRBw8wvnz51W9enWlpaU5Zz179tScOXMMpgIAAAAAlDS9evXS3LlznetKlSrp6NGjCgoKMpgK+A0n4uARgoKCNHLkSMvsq6++0t69ew0lAgAAAACUNHv37tW8efMss5EjR1LCwWNwIg4eIz09XdWqVdOZM2ecs379+mnatGkGUwEAAAAASop+/fpp+vTpznVoaKiSkpIUEhJiMBXwP5yIg8cICQnR448/bpl9+eWX2rdvn6FEAAAAAICSYt++fZoxY4Zl9vjjj1PCwaNwIg4e5dSpU6pRo4bS09Odsz59+mjmzJkGUwEAAAAAPN19992nWbNmOdchISH68ccfVb58eYOpACuKOHicl156Sa+++qpz7XA4tH37djVs2NBgKgAAgOJx+vRprVixQkePHtWpU6dUvnx5Va9eXe3bt1dYWJjpeADgkXbu3KnGjRvr9xXHiy++qFdeecVgKsAdRRw8zq+//qrq1atb7hXXrVs3ffXVVwZTAQAAFK2NGzfqpZde0nfffae8vDy31319fdWpUye98soratGihYGEAOC5unfvrvnz5zvXoaGhOnr0qMqVK2cwFeCOe8TB45QrV05PPvmkZTZ//nwlJiYaSgQAAFB0srOz9cgjjyg6OlrffvvtRUs4ScrNzdW3336r6OhoPfLII8rOzi7mpADgmRITEy0lnCQ9+eSTlHDwSJyIg0c6e/aswsPDdfLkSeesc+fOWrx4scFUAAAAhSsjI0N33nmn1qxZc8W/NyYmRt9++63KlClTBMkAoOTo0qWLlixZ4lxXrFhRR44cUXBwsMFUwMVxIg4eKTg4WE8//bRltmTJEq1fv95QIgAAgMJVUFCggQMHXlUJJ0lr1qzRwIEDxc/VAdjZ+vXrLSWcJD399NOUcPBYnIiDxzp//rzCw8OVkpLinHXq1EnfffedwVQAAACFY/LkyXrwwQev+X0+/fRTxcXFFUIiACh5brvtNsXHxzvXlStX1pEjRxQUFGQwFXBpnIiDxwoKCtIzzzxjmcXHx2vVqlWGEgEAABSOrKwsvfzyy4XyXi+//LKysrIK5b0AoCRZtWqVpYSTpGeeeYYSDh6NE3HwaJmZmYqIiNDx48edszZt2ighIcFgKgAAgGszf/58de/evdDe76uvvlK3bt0K7f0AoCRo27at5aDGjTfeqEOHDikwMNBgKuCPcSIOHi0wMFDPPfecZXaxn3oAAACUJIsWLfLo9wMAT3exq6Wee+45Sjh4PE7EweNlZ2erdu3aSkpKcs6aN2+ujRs3GkwFAABw9aKjowv1e5no6GgeagXAVlq0aKFNmzY519WqVdOBAwfk7+9vMBXw5zgRB4/n7++vF154wTLbtGmTZs+ebSgRAADAtfn5558L9f1OnDhRqO8HAJ5s9uzZlhJOkl544QVKOJQInIhDiZCbm6sGDRpo//79zllERIT27NkjPz8/g8kAAACuXK1atXTo0KFCe7+IiAgdPHiw0N4PADxVTk6O6tevb/k7tE6dOtq9e7d8fHwMJgMuDyfiUCL4+vrqzTfftMwOHTqkTz75xFAiAACAq3fDDTd49PsBgKf65JNP3H6Q8eabb1LCocSgiEOJ0b17d91yyy2W2auvvqpz584ZSgQAAHB1XL+n8bT3AwBPdO7cOb366quW2S233FKoT6EGihpFHEqUt99+27JOTU3Vu+++aygNAADA1bnnnns8+v0AwBO9++67Sk1Ntcxc94iAp+MecShxunbtqoULFzrXZcuW1aFDh1S5cmWDqQAAAK7MLbfcUihPOm3ZsqXWrVtXCIkAwHOlpKQoIiLCckXUvffeqwULFhhMBVw5TsShxHG9/v9ix5MBAAA8WUFBga677rprfp9SpUrprbfeKoREAODZXG9L5OPj43YfcaAkoIhDiVO/fn0NHDjQMps4cWKhPnkMAACgqOTm5ur++++3nPC/Wm+88YbatGlTCKkAwHMdOnRIEydOtMwGDhyo+vXrG0oEXD0uTUWJdPz4cdWqVUsXLlxwznr37q1Zs2YZTAUAAPDHLly4oF69emnJkiXX/F5PP/00p+EA2EKfPn00e/Zs57p06dI6ePCgbrzxRoOpgKvDiTiUSDfeeKOGDRtmmc2ePVubNm0ylAgAAOCPpaen6/bbb3cr4fz9/TV8+PDLvlT1uuuu05dffkkJB8AWNm3aZCnhJGnYsGGUcCixOBGHEuvMmTOqWbOmTp065Zy1bdtWK1euNBcKAADgItLS0nT77bdr27ZtlnmZMmU0f/58derUSefOndOHH36oWbNmaevWrfr9t+kOh0ORkZHq06ePHnvsMZUtW7a4/xEAwIh27dopISHBuS5fvryOHDmicuXKGUwFXD2KOJRoY8aM0ahRoyyzuXPnqkePHoYSAQAAWCUnJ6tTp046cOCAZR4WFqZvvvlG0dHRbr/n5MmTOnbsmE6dOqXy5curatWqqlixYnFFBgCPMG/ePPXs2dMye++99zRy5EhDiYBrRxGHEi0rK0t169bV0aNHnbPw8HDt2bNHAQEB5oIBAABI2r9/vzp16qSffvrJMr/hhhv03Xff6eabbzaUDAA8W1ZWlurXr68jR444ZzVq1NDevXvZ66FE4x5xKNECAgL0zjvvWGZHjhzRBx98YCgRAADAbxITExUTE+NWwoWHh2vt2rWUcADwBz744ANLCSdJb7/9NiUcSjxOxMErtGnTRqtXr3auQ0JCdPDgwcu+6TEAAEBhWrVqle655x6lp6db5g0aNNCyZct0ww03GEoGAJ4vNTVVtWrVsvwd2rp1a61atcpgKqBwUMTBKyQmJqpZs2aWmxoPHjxYn3zyicFUAAD8udzcXJ05c0anT5/WqVOn9Ouvvyo9Pd3569dff9XZs2d19uxZnTt3ThkZGcrIyJD0243+y5Qpo7Jlyyo4OFjBwcEqV66cQkJCnL/KlSun8uXLKywsTKGhofL19TX8T+z9Fi1apN69eyszM9Myj46O1jfffKOwsDBDyQCgZHj44Yc1ceJE59rhcGjz5s2KiooymAooHBRx8BpxcXGaMmWKc12qVCklJiaqcePGBlMBAOwoJydHx48fV3Jysn766SedOHFCP//8s37++WedPHlSaWlpSktL06lTp3T27NlizRYcHKzy5curUqVKqlSpkipWrKjrr79e119/vW644QbddNNNqlKlim688Ub5+fkVazZv8OWXX+qBBx5Qbm6uZd6pUyfNnz9fZcqUMZQMAEqG7du3KyoqSvn5+c7ZoEGDNHnyZIOpgMJDEQevceLECdWuXVvnzp1zztq3b6/ly5cbTAUA8GYpKSnavn279u7dq7179+rgwYM6fPiwfvrpJ+Xl5ZmOd018fHx00003qWbNmqpVq5bq1aunevXqqXHjxqpcubLpeB7po48+0tChQ+X67XWPHj00Y8YM+fv7G0oGACVHhw4dtGLFCue6bNmyOnDgAJf0w2tQxMGrjB49Ws8//7xlNm/ePHXv3t1QIgCAt7hw4YI2bdqkH374QWvXrtXmzZv1888/m45lxPXXX69mzZrp1ltvVatWrdS8eXOVLl3adCyjxo4dqxEjRrjNBw0apEmTJqlUKZ6RBgB/5quvvlKPHj0sszfeeEPPPfecoURA4aOIg1fJzMxU3bp1lZSU5JzVrFlTe/bs4afQAIArcuHCBa1evVrx8fFKSEjQ1q1blZOTU6R/ZlBQkEJDQy33ePvvr+DgYJUtW9Z5XzhJzvvFnTt3TmfPnrXcW+6/v86cOaPz588XaW4/Pz9FRkaqbdu26tSpk1q3bm2rYm7kyJF6//333eYPP/ywJkyYYCARAJQ82dnZql+/vg4fPuycVatWTfv27VNgYKDBZEDhooiD15k1a5buu+8+y+ztt9/WU089ZSgRAKCk2L9/v5YsWaJvvvlGq1atUlZW1jW9X5kyZVSlShX95S9/cd6D7ff3ZqtYsaLCwsKcvwICAgrpn8QqKytLp0+fdv46efKk5V51/72H3X/+8x8lJyc7HwZxtQICAtSmTRvddddd6ty5s+rUqVNI/ySeJS8vT4MHD7bco/a/Xn/9dbdT+gCAS3vnnXf09NNPW2YzZ85Unz59DCUCigZFHLxS69attWbNGuc6JCREBw8e1HXXXWcwFQDA0+Tl5Wnt2rVauHChFi5cqIMHD17xe5QtW1Y333yz6tWrp7p16yoiIkLh4eGqXr16iX065unTp3X06FEdOXJEhw4d0r59+7R3716wg6v2AAAgAElEQVTt3r3bci/Wy1WrVi3de++9uvfee3XrrbfKx8enCFIXr+zsbPXt21dfffWVZe5wOPThhx9qyJAhhpIBQMmTmpqqWrVqKT093TmLiYnR6tWrDaYCigZFHLzS5s2b1aJFC8vNknnSDgBA+u102NKlSzV37lwtXrxYv/zyy2X/Xn9/fzVr1kzR0dGKjo5WVFSUIiIi5HA4ijCx5ygoKNChQ4eUmJioDRs2aMOGDdq8ebOys7Mv+z0qVKigLl26qGfPnrrjjjuK7BRgUcrIyFDXrl31/fffW+a+vr76/PPPFRsbaygZAJRMcXFxltPFDodDmzZtUtOmTQ2mAooGRRy81sCBA/XZZ5851w6HQ2vXrtUtt9xiMBUAwITMzEx9++23mj17tr7++mudPXv2sn6fr6+voqOj1alTJ7Vr104tW7bkPjUuMjMztX79eq1cuVLx8fHasGGDcnNzL+v3BgcH65577lHv3r115513loh/t6dOnVLnzp21YcMGyzwwMFBz5sxRly5dDCUDgJJp3bp1uvXWWy2HKB544AFNnTrVXCigCFHEwWv9/PPPqlOnjuV4c2RkpDZt2uQVl8QAAP5Yfn6+li9fri+++ELz5s277PLtpptu0l133aW77rpLHTt2VEhISBEn9S7p6en6/vvv9c0332jJkiU6fvz4Zf2+4OBg9ejRQ/369VOHDh088imjJ06c0G233abdu3db5iEhIVq0aJFat25tKBkAlEx5eXlq3ry5tm7d6pyFhIRo//79uv766w0mA4oORRy82tixYzVixAjLbNy4cXrssccMJQIAFLWdO3dq2rRp+vLLLy+7BIqMjHTewywqKqqIE9pLYmKi8x58v99o/ZEbb7xR999/v/r376+GDRsWccLLc+TIEXXq1Ek//vijZV6pUiUtXbpUkZGRhpIBQMn14YcfaujQoZbZ+++/r+HDhxtKBBQ9ijh4tdzcXEVFRWnnzp3OWWhoqPbv38+DGwDAi5w/f14zZ87UhAkT3C4ZvJhSpUqpdevW6t27t+69915VqVKlGFIiOTlZCxYs0Jw5c7R69Wrl5+f/6e+Jjo7Www8/rL59+yooKKgYUrrbtWuXbrvtNv3888+WeZUqVRQfH6/atWsbyQUAJVlqaqrq1KmjM2fOOGcNGzZUYmKifH19DSYDihZFHLze6tWr1aZNG8ts4MCBlpuBAgBKpt27d+ujjz7SF198YbkVwcX4+PioTZs26t27t3r06KHKlSsXU0pcTEpKiubNm6fZs2dr1apVysvL+8OvDwkJUb9+/fS3v/1NN998czGllNavX6/OnTvr9OnTlnnt2rUVHx9PiQsAV2nQoEFu94FbtWoVl/nD61HEwRb69++vL774wrl2OBxas2aNWrVqZTAVAOBqLVu2TGPGjNHSpUv/9GujoqLUv39/xcbGUr55qJSUFM2YMUPTpk1TYmLin379HXfcoZEjR+r2228v0lzx8fHq1q2bMjIyLPPIyEgtXbpUlSpVKtI/HwC81Q8//KCYmBjLAxr69eunadOmGUwFFA+KONjCxR7c0KRJE23evJkHNwBACZGTk6MvvvhCY8aM0a5du/7wa2+88UYNGDBA/fr1U/369YspIQrDnj179MUXX+jzzz//03v8NWjQQCNHjlS/fv3k5+dXqDnmzp2r+++/X9nZ2ZZ569attWjRIh7iAQBXKS8vT82aNdO2bducMx7QADvxvMdRAUXg+uuv16uvvmqZbdu2TePHjzeUCABwuXJycvTJJ5+odu3aiouLu2QJ5+Pjoy5dumjhwoVKSkrS6NGjKeFKoPr162v06NFKSkrSwoUL1aVLl0v+0GzXrl2Ki4tT7dq19cknnygnJ6dQMkyePFl9+vRxK+G6dOmiZcuWUcIBwDUYP368pYSTpFdffZUSDrbBiTjYRl5eniIjI3lwAwCUENnZ2Zo8ebLefPNNHTt27JJfV6lSJT366KMaPHgw9+vyUsnJyZo4caI+/vhjpaWlXfLrqlatqmeffVZxcXHy9/e/qj9rwoQJevTRR93msbGx+vzzz7mBOABcg0s9oGHr1q1cqQTboIiDrfDgBgDwfAUFBZo1a5aee+45HTly5JJfV79+fQ0fPlz9+/dXYGBgMSaEKZmZmZo2bZrGjh2rPXv2XPLrwsPDNXr0aPXp00cOh+Oy3//555/X6NGj3eZDhgzRhx9+eEXvBQBwxwMaAIo42NCAAQMsNwF1OBxatWqVYmJiDKYCAEhSQkKCnnrqKW3atOmSXxMTE6PnnntOd955J8WITRUUFOjbb7/V6NGjtWbNmkt+XfPmzfXOO++obdu2f/p+jz322EVvWTFs2DCNHTv2mjMDgN2tWbNGbdq0sTygoX///vr8888NpgKKH0UcbCclJUV16tTRr7/+6pzVq1dP27Ztu+rLWAAA1+bHH3/U8OHDtXDhwkt+TZs2bfTSSy+pQ4cOxZgMnm758uV65ZVXtGrVqkt+zb333quxY8eqRo0abq/l5uZqwIABmjFjhttr7733nkaOHFmoeQHAjrKzs9WkSRPt3bvXOQsJCdGBAwd4ojlsh4c1wHYqV67s9uCGvXv36q233jKUCADsKzMzU6+88orq169/yRKudevWWrFihRISEijh4KZDhw5KSEjQihUrLnm6feHChapfv75eeeUVZWZmOucXLlxQ165d3Uo4Hx8fffrpp5RwAFBI3nrrLUsJJ0mvvfYaJRxsiRNxsKX8/Hy1bNnSculTQECAduzYodq1axtMBgD2sWTJEj3xxBM6fPjwRV+vW7eu/vGPf6hr167FnAwl2YIFC/TMM89o3759F329Zs2a+uc//6mYmBjdfffdWr16teV1f39/zZgxQz169CiOuADg9Q4cOKBGjRopKyvLOWvevLnWr1+vUqU4GwT7oYiDbW3btk3NmzdXbm6uc9auXTutWLHCYCoA8H4nT57U448/rn//+98Xfb1y5cp6+eWX9dBDD/GESlyV3NxcTZo0SS+//LJSUlIu+jWhoaGWp/ZJUpkyZTR//nx16tSpOGICgC20b99eK1eudK59fX21adMmNWnSxFwowCDqZ9hWkyZNNGLECMts5cqVPEEVAIrQzJkzVb9+/YuWcL6+vho+fLgOHDigRx99lBIOV83X11ePPvqoDhw4oOHDh1/0vyXXEi4sLEzff/89JRwAFKIpU6ZYSjhJGjFiBCUcbI0TcbC18+fP6+abb9bRo0eds/Lly2vfvn2qVKmSuWAA4GVSU1P1yCOPaP78+Rd9vXXr1vrwww/VsGHDYk4GO9i5c6cee+wxt8tQ/ysgIEBLly7906erAgAuX1pamurWratTp045Z9WrV9fu3bsVFBRkMBlgFifiYGtBQUEaP368ZXbq1Cm3k3IAgKv3zTffqFGjRhct4SpUqKDPPvtMq1atooRDkWnYsKHGjh2r4ODgi76elZWl++67T998800xJwMA7zVixAhLCSdJ48ePp4SD7VHEwfbuvPNOxcbGWmbTp0/XsmXLDCUCAO+QmZmpYcOGqXPnzhe9T1evXr20Z88eDRgwwEA62MmqVavUvn17nT179pJfk5KSos6dO2vYsGGWJ6sCAK7csmXLNH36dMssNjZWd955p6FEgOfg0lRAv33zXa9ePZ0+fdo5Cw8P165du1S6dGmDyQCgZNq/f7969eqlXbt2ub1WuXJlffjhh+rZs6eBZLCbxYsXq1evXm7lWq1atXTmzBmlpaW5/Z6GDRtq9uzZqlOnTnHFBACvceHCBTVo0EBHjhxxzsLCwrR3715VrlzZYDLAM3AiDtBvm8K3337bMjty5IheeeUVQ4kAoOSaM2eOmjdvftESrmvXrtq1axclHIrFl19+qW7durmVcJ06ddLWrVu1Z88ede3a1e337dy5U82bN9ecOXOKKyoAeI1XXnnFUsJJ0ttvv00JB/wfTsQB/6egoEDt2rXTqlWrnDNfX19t2bJFjRo1MpgMAEqG3NxcPfPMM3rvvffcXgsKCtJ7772nRx991EAy2NFHH32koUOHyvVb3R49emjGjBny9/d3zj7++GONGjVK58+fd3ufUaNG6R//+AdP8QWAy7Bjxw41bdpUubm5zlmbNm20cuVKORwOg8kAz0ERB/zOvn371LhxY2VnZztnUVFR2rBhA9+AA8Af+OWXX9SzZ08lJCS4vdakSRPNmDFDdevWNZAMdvT+++9r5MiRbvNBgwZp4sSJ8vHxcXtt3759io2N1bZt29xea9u2rebOnasKFSoUSV4A8Aa5ubmKjo5WYmKic+bv76/t27fzPQDwO1yaCvxO3bp19eyzz1pmiYmJbpetAgD+Z//+/YqOjr5oCTdo0CCtW7eOb8BRbEaNGnXREu6RRx7R5MmTL1rCSb99D7Bu3ToNGjTI7bWEhARFR0dr//79hZ4XALzF22+/bSnhJOnZZ5/lewDABSfiABfZ2dmKiorS7t27nbOAgAAlJiaqfv36BpMBgOdZvny5evbsqTNnzljmAQEB+te//qXBgwcbSga7ycvL0+DBgzVlyhS3115//XU9//zzl/1eEydO1OOPP66srCzLPDQ0VHPnzlWHDh2uOS8AeJM9e/YoKirK8vfmzTffrMTERMutAABQxAEXtWnTJt1yyy3Ky8tzzlq0aKEffvjhkj9JBwC7mTp1qgYPHmy5D4wkValSRV999ZWaNm1qKBnsJjs7W7GxsZo3b55l7nA4NG7cOP3tb3+74vfcsmWLunfvruTkZMvc19dXEydO1MCBA68lMgB4jby8PLVq1UobN250znx8fLRu3To1b97cYDLAM3FpKnARzZs315NPPmmZbdy4UWPGjDGUCAA8y5gxYxQXF+dWwjVv3lwbN26khEOxycjIUJcuXdxKOF9fX33xxRdXVcJJUtOmTbVx40a3TWRubq7i4uL4ngAA/s+YMWMsJZwkPfnkk5RwwCVwIg64hMzMTEVGRmrfvn3OWWBgoLZt26Y6deoYTAYAZr3wwgt644033Oa9evXS559/rtKlSxtIBTs6ffq07rrrLm3YsMEyDwwM1Jw5c9SlS5dr/jMuXLigAQMGaM6cOW6vPf/883r99dev+c8AgJJq//79atKkiTIzM52zunXrauvWrQoMDDSYDPBcnIgDLiEwMFCTJ09WqVL/+5hkZmYqLi5O+fn5BpMBgBkFBQV67LHHLlrC/f3vf9esWbMo4VBsTpw4oTZt2riVcCEhIVq6dGmhlHCSVLp0ac2aNUt///vf3V5744039Nhjj4mfawOwo/z8fMXFxVlKuFKlSmny5MmUcMAf8Hn55ZdfNh0C8FRVqlRRenq61q1b55wlJycrLCxMLVu2NJgMAIrf0KFD9dFHH7nN3333Xb344otyOBwGUsGOjhw5ovbt27s9xbRSpUqKj48v9P9HOxwOderUScHBwVq2bJnltU2bNiktLa3Qij8AKCk++OADTZo0yTIbMWKEHnzwQUOJgJKBS1OBP3HhwgU1btxYBw8edM6CgoK0Y8cO1axZ02AyACg+w4YN0z//+U/LzMfHR5988oni4uIMpYId7dq1S7fffrtOnDhhmVepUkXfffddkd8+YvLkyXr44YctD3SSpCeeeEIffPBBkf7ZAOApDh8+rEaNGun8+fPOWa1atbR9+3ZOxwN/gktTgT9RunRpffrpp5aTHufPn9eDDz7IpSgAbGHUqFFuJZyfn59mzZpFCYditWHDBrVp08athKtdu7bWrl1bLPdwjYuL06xZs+Tn52eZ//Of/9SoUaOK/M8HANMKCgr04IMPWko4h8OhTz/9lBIOuAwUccBlaN26tYYOHWqZJSQkXPQSLQDwJqNHj3Z7OqSvr6/+/e9/q0ePHoZSwY7i4+PVsWNHnT592jKPjIzUmjVrVKVKlWLL0qNHD/373/+Wr6+vZT5mzBiNHj262HIAgAkfffSREhISLLOhQ4eqdevWhhIBJQuXpgKXKSMjQw0bNtSPP/7onJUpU0bbt2/nElUAXmnq1KkaNGiQZebj46MZM2aod+/ehlLBjubNm6fY2FhlZ2db5q1bt9aiRYsUEhJiJNfs2bMVGxvrdpnqlClTNHDgQCOZAKAoHT58WI0bN1ZGRoZzVqNGDe3cuVNlypQxmAwoOTgRB1ymMmXKuF2impGRoQEDBrh9Aw4AJd2SJUs0ePBgy6xUqVKaNm0aJRyK1ZQpU9SnTx+3Eq5z585aunSpsRJOknr37q1p06ZZnrAuSYMHD9aSJUsMpQKAopGXl6f+/ftbSrj/XpJKCQdcPoo44Aq0b99eQ4YMscx++OEHvfXWW4YSAUDh2759u/r06aPc3FzLfOzYsYqNjTWUCnb08ccfKy4uzu0HXrGxsVqwYIFH3IsoNjZWY8eOtcxyc3PVp08fbd++3VAqACh8b731ltatW2eZDRkyRO3btzeUCCiZuDQVuELnz59XkyZNLE9R9fPz08aNG9WkSRODyQDg2p08eVLNmjVTUlKSZf7MM8/ozTffNJQKdvTCCy/ojTfecJsPGTJEH374oeWEuid49tln9Y9//MMyq1atmjZv3qyKFSsaSgUAhWPbtm1q0aKFcnJynLNatWpp27ZtCgoKMpgMKHko4oCrsH79esXExFh+Qt+gQQNt3rxZAQEBBpMBwNXLycnRbbfd5nYD5gEDBuizzz4zlAp2U1BQoKFDh170gUjDhw/X+++/byDV5XnggQf0+eefW2Zt27bVd9995/aUVQAoKbKystSsWTPt2rXLOfPx8dGaNWvUsmVLg8mAkolLU4Gr0LJlSz377LOW2a5du/T8888bSgQA12748OFuJVxMTIwmTZpkKBHsJjc3V/369btoCffuu+96dAknSZMmTVJMTIxllpCQoOHDhxtKBADX7vnnn7eUcNJvp4Ap4YCrw4k44Crl5OSoZcuWSkxMdM5KlSql5cuXq23btgaTAcCVmzVrlu677z7LrEqVKtq8ebOuu+46Q6lgJ5mZmerVq5cWL15smZcqVUoTJ05UXFycoWRXJjU1Vc2aNVNycrJlPnPmTPXp08dQKgC4OgkJCerQoYPy8/Ods6ioKK1fv56TvsBVoogDrsGePXvUtGlTZWZmOmfVqlXTjh07jD7FDQCuxI8//qjIyEj9+uuvzlnp0qW1Zs0aRUVFGUwGu0hPT9c999yjVatWWeb+/v768ssv1bNnT0PJrk5iYqJiYmJ04cIF56xcuXLaunWratSoYTAZAFy+9PR0NWrUyHLf2MDAQG3ZskX169c3mAwo2bg0FbgG9evX1+jRoy2zpKQkLkEBUGLk5OSob9++lhJOkiZMmEAJh2KRlpamdu3auZVwZcqU0aJFi0pcCSf9dlpkwoQJltmvv/6qvn37Wm50DgCebPjw4W4Pbxo9ejQlHHCNKOKAazR8+HC3R3ZPmTJFCxYsMJQIAC7fSy+9pI0bN1pmDzzwgPr3728oEewkOTlZrVu31tatWy3zsLAwxcfH67bbbjOU7Nr1799fDzzwgGW2ceNGvfTSS4YSAcDlW7BggaZMmWKZtW/fngMHQCHg0lSgEBw7dkwNGzZUenq6c1apUiXt2rWLeysB8FibN29Wy5YtLU+ArlOnjrZs2aIyZcoYTAY7OHDggDp16uR2L7Xrr79e3333nRo0aGAoWeHJyMhQ06ZNtX//fufMx8dH69evV7NmzQwmA4BLS01NVYMGDZSWluachYSEaOfOnapatarBZIB34EQcUAiqVq2qf/3rX5ZZWlqaHnroIUOJAOCPZWdna9CgQZYSzt/fXzNnzqSEQ5HbunWrYmJi3Eq4GjVqaO3atV5Rwkm/XV47c+ZM+fv7O2d5eXkaNGiQsrOzDSYDgEt76KGHLCWcJP3rX/+ihAMKCUUcUEgGDBigHj16WGZff/21xo0bZygRAFzaa6+9pl27dllmL774oho3bmwoEexi9erVateundsm7+abb9batWsVHh5uKFnRaNy4sV588UXLbNeuXXrttdcMJQKASxs3bpy+/vpry6xHjx4aMGCAoUSA9+HSVKAQnTx5Ug0bNtTPP//snAUGBmrjxo1q2LChwWQA8D/79+9Xw4YNLTeNj4qK0oYNG+Tr62swGbzd4sWL1bt3b8vTRCUpOjpaS5YsUfny5Q0lK1q5ubmKjo5WYmKic+bn56edO3eqTp06BpMBwP/s3LlTLVq0UGZmpnN2/fXXa+fOnapYsaLBZIB34UQcUIgqVqyoqVOnyuFwOGeZmZmKjY1123QAgClPPPGEpYTz8/PTlClTKOFQpGbMmKFu3bq5/f+wY8eO+v777722hJMkX19fTZkyRX5+fs5ZTk6OnnjiCYOpAOB/Lly4oNjYWEsJ53A4NHXqVEo4oJBRxAGF7I477tDIkSMts927d2vUqFGGEgHA/8yfP1/Lli2zzJ566ik1atTIUCLYwfjx4/XXv/5Vubm5lnn37t21ZMkSW9yXsFGjRnryyScts2XLlmn+/PmGEgHA/4waNUq7d++2zEaOHKk77rjDUCLAe3FpKlAEsrOzdcstt1guQZF+2wB37drVUCoAdpeVlaW6devq6NGjztlNN92kffv22aIIgRljxoy56A+jBg4cqEmTJsnHx8dAKjMyMjJUt25d/fTTT85Z9erVtW/fPgUEBBhMBsDOFixYoG7dullmUVFRWrduneVhMwAKByfigCLg7++vGTNmuG1sH3zwQR0/ftxQKgB2N378eEsJJ0nvvvsuJRyKzKhRoy5awj366KOaMmWKrUo46benqL777ruW2dGjRzV+/HhDiQDY3fHjx/Xggw9aZmXKlNGMGTMo4YAiwok4oAhNnjzZ7X9s7du3V3x8vEqVogcHUHzOnTunmjVrKjU11Tlr27atVq5caS4UvFZeXp4efvhhTZ482e211157TS+88IKBVJ6jXbt2SkhIcK6vu+46HT58WGXLljWYCoDd5Ofnq1OnTlqxYoVl/umnnyouLs5QKsD70QQARSguLk69e/e2zFasWKG33nrLUCIAdvXBBx9YSjhJ/F2EIpGdna0+ffq4lXAOh0Pjxo2zfQknuX/2UlNT9cEHHxhKA8Cu3nrrLbcSrnfv3pRwQBHjRBxQxM6cOaPGjRvr2LFjzpmvr6/Wrl2rFi1aGEwGwC7S09NVtWpV/frrr87ZvffeqwULFhhMBW+UkZGhbt26KT4+3jL39fXV1KlT9de//tVQMs/TtWtXLVy40LkODQ1VUlKSQkJCDKYCYBcbN27UrbfeanmITtWqVbV9+3aFhoYaTAZ4P07EAUUsNDRU06dPt9wHJzc3V/fff7/Onj1rMBkAu5gwYYKlhHM4HHr99dcNJoI3On36tDp16uRWwgUGBuqrr76ihHPx+uuvy+FwONdnzpzRhAkTDCYCYBdnz57V/fffbynhfHx8NH36dEo4oBhQxAHFICYmxu1SnMOHD2vIkCGGEgGwi5ycHLdL3nr16qWGDRsaSgRvdOLECbVp00br16+3zENCQrR06VLdfffdhpJ5roYNG6pXr16W2QcffKCcnBxDiQDYxZAhQ3T48GHL7P/9v/+nmJgYQ4kAe6GIA4rJxf7nNn36dE2aNMlQIgB2MGPGDLenNT/11FOG0sAb/fjjj4qJidGuXbss84oVK2rFihVq06aNoWSez/WzePz4cc2YMcNQGgB2MGnSJE2fPt0yu9ihAQBFh3vEAcUoKSlJTZo00ZkzZ5yz0qVLa/369WrUqJHBZAC8VWRkpLZt2+Zc86RUFKZdu3bp9ttv14kTJyzzm266SfHx8apTp46hZCWH6xNUmzRpoq1btxpMBMBb7dixQy1bttSFCxecs9DQUG3fvl1Vq1Y1mAywF07EAcWoWrVqbk+Ru3Dhgnr37q1z584ZSgXAW23evNlSwkmchkPh2bBhg9q2betWwtWuXVtr166lhLtMTz75pGW9bds2bd682VAaAN7q3Llz6t27t6WEk6TJkydTwgHFjCIOKGbdu3fXsGHDLLMDBw7o4YcfNpQIgLdyvfS9Ro0a6ty5s6E08Cbx8fHq2LGjTp06ZZlHRkZq9erVbOquQJcuXVSjRg3LjNtWAChsDz/8sA4cOGCZDRs2TN27dzeUCLAvijjAgHfeeUctWrSwzGbMmMHT0gAUmvPnz7vdayouLs7ylEbgasybN09dunRRRkaGZd66dWutWLFC1113naFkJZPD4VBcXJxlNmPGDJ0/f95QIgDeZsKECW7fE7Ro0ULvvPOOoUSAvVHEAQb4+flp5syZCgsLs8yHDx/udhkZAFyNefPmKT093bn28fHRoEGDDCaCN5gyZYr69Omj7Oxsy7xz585aunSpypUrZyhZyTZo0CD5+Pg41+np6Zo3b57BRAC8xbZt2zR8+HDLLCwsTDNnzpSfn5+hVP+fvXuP6/n+/8d/6xydSA7L2RCyOcScopLSS6XQicohDPOeOfvY2Mxmm+N7bzaHUYR00EHppETSmMkpm7OYzDIlyiE6/f7Yl9+ePbM5VI/Xq27Xy8XlfXneHvVy23t70uv+ej4fT6K6jYM4IkHatGmDbdu2SbKioiK4u7tL3jwTEb2O3bt3S44dHBzQvHlzQW2oNtiwYQP8/PxQWloqyb28vLBnzx7Uq1dPUDPV17x5czg4OEiyiucwEdGrKigogLu7O4qKiiT5tm3b0KZNGzGliIiDOCKRhg8fjtmzZ0uyK1euYPLkyYIaEVFtUFhYiH379kkyLy8vQW2oNli8eDE++OADWT516lQEBQXxqooq4OnpKTnet28fCgsLBbUhotpg8uTJuHLliiSbPXs2hg8fLqgREQEcxBEJ980336Bv376SLCwsDOvXrxfUiIhUXWxsLJ48efL8WFtbG87OzgIbkaoqLy/H9OnT8eWXX8rWZs2ahQ0bNkBdnT9OVoXhw4dDW1v7+fGTJ08QG6AEA3oAACAASURBVBsrsBERqbL169cjLCxMkvXt2xfffPONoEZE9Ax/ciIS7Nl+ccbGxpJ89uzZOHnypKBWRKTK9uzZIzm2s7Pj3l30ykpKSuDj41PpB0MrV67EmjVrBLSqvYyMjGBnZyfJKp7LREQv4+TJk7K7boyNjbkvHJGS4CCOSAm0atUKgYGBkqcZPnnyBO7u7rh3757AZkSkasrLy5GSkiLJRowYIagNqaqioiKMGDECu3btkuTq6urYsmUL5s6dK6hZ7VbxXE1JSUF5ebmgNkSkiu7duwd3d3fJlfFqamoIDAxEq1atBDYjomc4iCNSEk5OTrI3NllZWfD19eUP4UT00k6dOoW8vDxJZm9vL6gNqaKCggIMHTpUdluktrY2wsLCMHHiREHNar+K52peXh5OnTolqA0RqZry8nL4+PggKytLks+dOxdOTk6CWhFRRRzEESmRr776CgMGDJBksbGxWLp0qaBGRKRq9u/fLzk2MzNDy5YtBbUhVXPnzh3Y2NggLS1Nkuvp6SE2NhajRo0S1KxuaNmyJczMzCRZxXOaiOhFli5diri4OEk2YMAAfPXVV4IaEVFlOIgjUiKampoIDQ1F06ZNJfnSpUuRkJAgqBURqZLU1FTJ8ZAhQ8QUIZWTnZ2NgQMHyvYnbdiwIfbv3y/bv4yqR8VztuI5TURUmYSEBNmH902bNkVoaCg0NTUFtSKiynAQR6RkmjdvLvsLs6ysDN7e3rLLzImIKjp+/Ljk2NraWkwRUimXLl2CpaUlLl68KMmbNWuGQ4cOyZ7uTdWn4jlb8ZwmIqooKysL3t7eKCsre549+4C/efPmApsRUWU4iCNSQlZWVli+fLkky8/Px8iRI/H48WNBrYhI2V27dg25ubmSrHfv3oLakKo4deoULC0tcePGDUnetm1bpKen45133hHUrG6qeM7m5ubi2rVrgtoQkbJ7/PgxRo4cifz8fEm+fPlyWFlZCWpFRP+EgzgiJTV79mx4enpKsjNnzmDKlCmCGhGRssvIyJAcN27cGK1btxbUhlTB4cOHYW1tjTt37khyc3NzpKen4+233xbUrO5q3bo1GjduLMkqnttERM9MmTIFZ86ckWSenp6YPXu2oEZE9G84iCNSYv7+/jA3N5dkO3bswPfffy+oEREps4p7e/FqOPon8fHxGDp0KAoKCiT5e++9h7S0NJiamgpqRhXP3YrnNhERAHz//ffYsWOHJDM3N4e/v7+gRkT0MjiII1Jienp6iIyMhKGhoSSfNWsWjhw5IqgVESmrS5cuSY55SyG9SHBwMFxdXWXbHdja2iIlJQXGxsaCmhEgP3crnttEREeOHMGsWbMkmaGhISIjI6GnpyeoFRG9DA7iiJRcx44dsX37dqipqT3PiouL4e7ujtu3bwtsRkTKpuKb9Y4dOwpqQspsw4YN8PHxQXFxsSQfMWIE4uLioK+vL6gZPVPx3OUgjoj+7vbt23B3d5f8Oa6mpobt27fz734iFcBBHJEKcHFxwcKFCyXZrVu34OHhgZKSEkGtiEiZlJeX4+rVq5KMP4xTRatXr8YHH3wgebIeAIwfPx67d++Gjo6OoGb0dxXP3atXr6K8vFxQGyJSJiUlJfDw8MCtW7ck+cKFC+Hi4iKoFRG9Cg7iiFTEF198AXt7e0mWlpaGOXPmCGpERMrk1q1bstsMO3ToIKgNKaO5c+di7ty5snzatGkICAiAhoaGgFZUmYrn7uPHj2VvuomobpozZw7S0tIkmb29Pb744gtBjYjoVXEQR6Qi1NXVsWvXLtkTENeuXYutW7cKakVEyiInJ0dyrKWlhaZNmwpqQ8qktLQUEydOxOrVq2VrS5cuxfr16yXbH5B4TZs2hZaWliSreI4TUd2zdetWrF27VpK1bt0au3btgro639oTqQqerUQqpFGjRoiMjISurq4knzp1Ko4ePSqoFREpgz///FNy3KRJE0FNSJk8ffoUnp6eCAgIkORqamr47rvvsHjxYkHN6N9UPIcrnuNEVLccPXoUU6dOlWS6urqIjIxEo0aNBLUiotfBQRyRiunZsyd++OEHSfb06VOMGDECN2/eFNSKiESr+PAWDuLo4cOHcHJyQkREhCTX1NTEjh07MH36dEHN6GVUPIf5gCaiuuvmzZsYMWIEnj59Ksl/+OEH9OzZU1ArInpdHMQRqSBfX1/ZPj+3b9+Gq6urbI8oIqob7ty5Iznmbal1W35+PoYMGYLk5GRJrquri6ioKHh7ewtqRi+r4iAuNzdXUBMiEunx48dwdXWVDePnzp0LX19fQa2I6E1wEEekopYvXw4HBwdJduLECUycOFFQIyISqeIQXk9PT1ATEi0nJwdWVlb46aefJLmBgQESExPh5OQkqBm9Cn19fcnxo0ePBDUhIpEmTpyIEydOSDIHBwcsX75cUCMielMcxBGpKHV1dQQHB6Njx46SPDg4GN98842gVkQkypMnTyTHFfeSpLrh2rVrGDBgAM6ePSvJTUxMcPDgQVhZWQlqRq+q4jlc8Rwnotrv66+/RnBwsCTr2LEjQkJC+HAGIhXGs5dIhTVo0AAxMTEwMjKS5J988gliY2MFtSIiEYqKiiTHOjo6gpqQKL/++isGDBiArKwsSd6iRQscPnwYFhYWgprR66h4Dlc8x4modouNjcWiRYskmZGRUaU/+xORauEgjkjFmZmZITg4WPKpWFlZGby9vXH+/HmBzYioJlXcwFlbW1tQExLh2LFjGDRoEP744w9J3rFjR/z444/o1KmToGb0uiqewxXPcSKqvc6fPw9vb2+UlZU9z57dDWNmZiawGRFVBQ7iiGoBhUIh2yeioKAAw4cPR35+vqBWRFSTtLS0JMfFxcWCmlBNS0lJwZAhQ3D37l1J3r17dxw+fBitWrUS1IzeRMVzuOI5TkS1U35+PoYPH46CggJJvnz5cigUCkGtiKgqcRBHVEvMnTsXPj4+kuzKlSvw9PREaWmpoFZEVFO4n1TdFBUVBUdHRzx48ECSW1paIjU1VfbkTVId3PeRqO4pLS2Fh4cHrly5Isl9fX0xd+5cQa2IqKpxEEdUi2zevBnvvfeeJEtOTsasWbMENSKimsL9pOqebdu2wd3dXTawUSgUSEpK4h5CKo77PhLVPbNmzcL+/fsl2XvvvYcffvhBUCMiqg4cxBHVIrq6uoiKisJbb70lydetW4fvvvtOUCsiqgkVr5Z59OiRoCZUE9avXw8/Pz/ZFc9eXl6Ijo5GvXr1BDWjqlLxHOa/U6La7bvvvsO6desk2VtvvYWoqCheEUtUy3AQR1TLmJqaVvoX9syZMxEfHy+oFRFVNxMTE8nxnTt3BDWh6rZ48WJMnz4d5eXlknzq1KkICgriXmK1RMVzuFGjRoKaEFF1i4+Px8yZMyWZrq4u9uzZA1NTU0GtiKi6cBBHVAv16dMHAQEBUFNTe56VlpbCy8sLmZmZApsRUXWpuBfYn3/+KagJVZfy8nL85z//wZdffilbmz17NjZs2CB5gjaptornMPf7I6qdMjMz4eXlJbnCWU1NDQEBAbItZ4ioduBPa0S11OjRo/H5559LssLCQjg5OSEnJ0dQKyKqLk2bNpUc3759W1ATqg4lJSXw9fXF999/L1tbuXIlVq9eLaAVVaeK53DFc5yIVN8ff/wBJycnFBYWSvLPP/8co0ePFtSKiKobB3FEtdjixYtlT1LNzs6Gs7Mz948iqmUqXi1TVFSE/Px8QW2oKhUVFWHEiBEICgqS5Orq6tiyZQufpFcL5efnyx7WwEEcUe3y6NEjDB8+HNnZ2ZLcx8cHixcvFtSKiGoCB3FEtZy/vz8GDhwoyTIyMuDr6yvbX4iIVFeLFi1ke4NdvnxZUBuqKgUFBXBwcEBsbKwk19bWRmhoKCZOnCioGVWniueulpYWmjdvLqgNEVW18vJy+Pr6IiMjQ5IPHDgQ/v7+gloRUU3hII6oltPW1kZUVBTat28vySMjI7FgwQJBrYioqmlqaqJt27aS7NKlS4LaUFXIzc2FjY0NDh06JMn19PSwd+9euLm5CWpG1a3iudu2bVtoamoKakNEVW3BggWIjIyUZO3bt0dUVBS0tbUFtSKimsJBHFEd0KhRI8TFxaFhw4aSfOXKldiyZYugVkRU1Tp27Cg55hVxquvmzZsYOHAgTp48KckbNmyI5ORk2NvbC2pGNaHiuVvx3CYi1bVlyxasXLlSkjVs2BBxcXF8OjJRHcFBHFEd0bFjR0RGRspuXfvggw+QkpIiqBURVaWKb9Z/+eUXQU3oTVy6dAkDBgzAhQsXJHmzZs1w6NAh9OvXT1AzqikVz10O4ohqh5SUFEybNk2SaWlpITIykuc5UR3CQRxRHWJtbY1NmzZJsuLiYri5ucne8BGR6unWrZvk+Pjx44Ka0Os6ffo0Bg4ciBs3bkjytm3bIj09He+8846gZlSTKp67Fc9tIlI9Fy5cgJubG0pKSiT5pk2bYG1tLaYUEQnBQRxRHTNhwgQsXLhQkt27dw8KhQI5OTmCWhFRVejdu7fkODs7G3/++aegNvSq0tPTYW1tLft3Zm5ujvT0dLz99tuCmlFNun37tuwpihXPbSJSLTk5OVAoFLh3754kX7hwISZMmCCoFRGJwkEcUR20bNky2Sbf169fh6OjIx48eCCoFRG9KTMzMxgYGEgyXhWnGuLj42Fvb4/79+9L8vfeew9paWkwNTUV1IxqWsWnKBoYGMDMzExQGyJ6Uw8ePICjoyOuX78uyd3d3bFs2TIxpYhIKA7iiOogNTU1bN++HX369JHkJ0+exKhRo2SXzBORalBXV0fPnj0lWVpamqA29LJCQkLg6uqKx48fS/LBgwcjJSUFxsbGgpqRCBXP2Z49e0JdnT+yE6mikpISjBo1SvbgnT59+iAwMBBqamqCmhGRSPxbnaiOqlevHvbu3Yv27dtL8qSkJEyaNElQKyJ6U4MGDZIc79+/X1ATehkbN26Et7c3iouLJbmrqyvi4+Ohr68vqBmJUvGcrXhOE5HqmDRpEpKSkiRZ+/btsXfvXtSrV09QKyISjYM4ojqscePGSExMROPGjSV5YGAgFi1aJKgVEb0JOzs7yfGpU6eQl5cnqA39k1WrVmHatGkoKyuT5OPGjUN4eDh0dHQENSNR8vLycOrUKUlW8ZwmItWwaNEiBAYGSrIX/exNRHULB3FEddzbb7+NuLg46OnpSfJly5bJnrBKRMqvb9++kquoysvLkZKSIrARVWbevHmYN2+eLJ85cya2bt0KDQ0NAa1ItJSUFJSXlz8/1tfXR9++fQU2IqLXsWnTJtn+b3p6eoiLi+ODd4iIgzgi+utpbKGhobI3ftOnT0dMTIygVkT0OrS0tGBlZSXJ9uzZI6gNVVRWVoZJkyZh1apVsrVFixbhv//9L/cMqsMqnqtWVlbQ0tIS1IaIXkdMTAymT58uyTQ0NBAaGsonIBMRAA7iiOj/cXR0xMaNGyVZaWkpvLy88NNPPwlqRUSvw9nZWXIcGxuLoqIiQW3omadPn8LT0xP+/v6SXE1NDevWrcMXX3whqBkpg6KiIsTGxkqyiucyESm3n376CV5eXigtLZXkGzduhKOjo6BWRKRsOIgjoucmTZqEzz77TJI9fvwYzs7OuHz5sqBWRPSqRowYIbnCtbCwULZZNNWshw8fwsnJCeHh4ZJcU1MT27dvx3/+8x9BzUhZ7Nu3D4WFhc+PNTQ0MGLECIGNiOhVXL58Gc7OzrInYH/22Wd8EBoRSXAQR0QSS5YsgZ+fnyTLzc2Fg4MDbt++LagVEb2KJk2aYODAgZIsNDRUUBvKz8+HnZ0dkpOTJbmuri4iIyPh4+MjqBkpk7CwMMnxwIED0aRJE0FtiOhV3L59Gw4ODsjNzZXkfn5+WLJkiZhSRKS0OIgjIplNmzZBoVBIsqysLDg6OuLBgweCWhHRq3Bzc5McR0VF4d69e4La1F05OTmwsrLC0aNHJbmBgQESExN56yEBAO7du4eoqChJVvEcJiLl9ODBAzg6OiIrK0uSKxQKPviMiCrFQRwRyWhqamL37t3o1auXJD9x4gRcXV3x5MkTQc2I6GV5enpCW1v7+fHjx48RFBQksFHdc+3aNVhaWuLs2bOS3MTEBAcPHpQ9VIPqrqCgIMntbNra2vD09BTYiIhexpMnT+Dq6ooTJ05I8l69emH37t3Q1NQU1IyIlBkHcURUqWePWG/Xrp0kT0lJgbe3t2wTWiJSLiYmJnB1dZVkW7ZsEdSm7vn1119haWmJq1evSvIWLVrg8OHDsLCwENSMlFHFc9PV1RUmJiaC2hDRyygtLYW3tzdSUlIkebt27RAXFwc9PT1BzYhI2XEQR0Qv1KRJEyQmJsr2qImIiMCUKVMEtSKil1Vxc+jTp0/zKcg14Oeff8agQYNw69YtSd6hQwekp6ejU6dOgpqRMjp69ChOnz4tybixO5HymzJlCiIiIiTZi352JiL6Ow7iiOgfdejQAYmJiTA0NJTk/v7+WLBggaBWRPQyhgwZgjZt2kiylStXiilTR6SkpMDW1hZ3796V5N27d0d6ejpat24tqBkpq1WrVkmO27ZtiyFDhghqQ0QvY8GCBfD395dkhoaGSExMRIcOHQS1IiJVwUEcEf2rHj16ICYmBrq6upJ8xYoVWLFihaBWRPRv1NTUMGPGDEm2Z88eXLlyRVCj2i0qKqrSh9pYWloiNTWVV0iQzJUrV7Bnzx5J9uGHH0JNTU1QIyL6N5X9/Kurq4uYmBj06NFDUCsiUiUcxBHRS7GyskJYWJhs09nKPhEkIuUxadIkGBkZPT8uKyvDmjVrBDaqnbZt2wZ3d3fZw2wUCgWSkpIk/w6InlmzZg3KysqeHxsZGfG2VCIlVtkdIZqamggLC+MDeIjopXEQR0QvzdnZGf7+/rJP6qdMmYLIyEhBrYjonxgYGGDq1KmSLCAgANnZ2YIa1T7ffvst/Pz8ZA+x8fT0RHR0NOrVqyeoGSmz7OxsBAQESLKpU6fCwMBAUCMi+ieRkZGyPZLV1NTg7+8PZ2dnQa2ISBVxEEdEr2Ts2LGyq2lKS0sxZswY2VOjiEg5zJgxA9ra2s+Pnzx5gqVLlwpsVHt88cUXmDVrFsrLyyX5lClTsGvXLmhpaQlqRspu6dKlkisodXR0ZLeSE5FySElJwZgxY2QfuKxZswZjx44V1IqIVBUHcUT0ymbOnIlFixZJsidPnsDV1RXHjx8X1IqIXsTU1FR2Vdy2bdtw+fJlQY1UX3l5OT788EN8+umnsrU5c+Zg48aNUFfnj1lUucuXL2Pbtm2SbMqUKTA1NRVTiIhe6Pjx43B1dZVtPbBo0SLMnDlTUCsiUmVq5RU/wiUiekkffPABNmzYIMkaNWqEw4cPo3PnzoJaEVFlbt++jbfffhsPHz58nnl6eiIkJERgK9VUUlKC8ePHIygoSLa2YsUKzJs3T0ArUiWenp4ICwt7fqynp4erV6+iadOmAlsRUUXnz5/HwIEDkZeXJ8mnTZuG9evXC2pFRKqOH9US0Wv77rvv4OXlJcny8vJgZ2eHrKwsQa2IqDJNmzaV3fYWGhqKtLQ0QY1UU1FREUaOHCkbwqmrq2Pz5s0cwtG/SktLkwzhgL9uH+cQjki5ZGVlwc7OTjaE8/LywnfffSeoFRHVBrwijojeSHFxMYYPH47ExERJ3qZNG6SlpaFly5aCmhFRRfn5+Wjfvj3u3r37PHv33Xdx8uRJaGhoCGymGgoLC+Hs7IxDhw5Jcm1tbezcuRPu7u6CmpGqKC0tRc+ePZGZmfk8MzY2xpUrV9CwYUOBzYjo77KzszFo0CBcv35dkjs4OCAmJob7fxLRG+EVcUT0RrS0tBAREYF+/fpJ8uvXr8PW1hY5OTmCmhFRRQ0bNsSXX34pyTIzM2W3mJNcbm4ubGxsZEO4+vXrY+/evRzC0UvZsGGDZAgHAF9++SWHcERKJCcnB7a2trIhXL9+/RAREcEhHBG9MV4RR0RV4t69exg8eDBOnTolybt06YJDhw7BxMREUDMi+rvS0lL06tULp0+ffp4ZGRnh119/RfPmzQU2U143b96EnZ0dLly4IMkbNGiA+Ph42QcRRJX5/fffYW5ujvv37z/PunfvjoyMDF6RSqQkcnNzYWVlhXPnzknyHj164MCBA2jQoIGgZkRUm/CKOCKqEg0aNEBSUhLMzc0l+blz52BnZ4f8/HxBzYjo7zQ0NLBu3TpJdv/+fbz//vuCGim3S5cuYcCAAbIhXLNmzXDo0CEO4eilvf/++5IhHACsW7eOQzgiJZGfnw87OzvZEM7c3BxJSUkcwhFRleEgjoiqjImJCfbv34+OHTtK8tOnT8PBwQGFhYWCmhHR31laWmL8+PGSLD4+HoGBgWIKKanTp09j4MCBuHHjhiRv06YN0tPT8e677wpqRqomMDAQ8fHxkmz8+PGwtLQU1IiI/q6wsBAODg6Sq8UBoGPHjti/fz/v7CCiKsVbU4moyt28eRODBg3CtWvXJPnAgQORmJiI+vXrC2pGRM/cu3cP5ubmuHXr1vOsYcOGOHv2LG9RBZCeng4nJyfZFUxdunRBcnIyTE1NBTUjVfP777/jnXfekVwZbmpqil9//ZVX2BApgUePHsHBwQGHDx+W5G3btkVaWhpatGghqBkR1Va8Io6IqlyLFi2QkpIi+8Hl8OHDcHFxQVFRkaBmRPRMgwYNsGnTJkmWn5+PMWPGoLS0VFAr5ZCQkAB7e3vZEK53795IS0vjEI5eWmlpKcaMGSPbnmHTpk0cwhEpgaKiIri4uMiGcC/6WZaIqCpwEEdE1aJt27ZISUlBs2bNJPn+/fvh5uaG4uJiQc2I6BknJyf4+PhIsrS0NCxdulRQI/FCQkLg4uKCx48fS/LBgwfjwIEDaNSokaBmpIqWLl2KtLQ0Sebj4wMnJydBjYjomeLiYri5uWH//v2SvFmzZkhJSUHbtm0FNSOi2o63phJRtfr1119hbW2N3NxcST5y5EiEhYVxk2oiwe7fv48ePXpIbiVXV1dHSkoKrK2txRUTYOPGjZg+fTrKysokuaurK0JCQqCjoyOoGami1NRU2NraSv57atu2LU6dOgUjIyOBzYiotLQUHh4eiIyMlOQmJiZITU2VPXyMiKgq8Yo4IqpWL3rSVGRkJHx9fev8LXBEohkZGSE4OBhaWlrPs7KyMnh5eeHmzZsCm9WsVatWYdq0abIh3Lhx4xAeHs4hHL2SmzdvwsvLS/Lfk5aWFoKDgzmEIxKstLQUvr6+siFcgwYNkJSUxCEcEVU7DuKIqNr16NEDiYmJMDAwkOTBwcEcxhEpgT59+mDZsmWS7Pbt23B1dZXdolkbzZs3D/PmzZPlH330EbZu3cord+mVPH78GK6urrh9+7YkX7ZsGfr06SOoFREB//8QLjg4WJIbGBggMTERPXr0ENSMiOoS3ppKRDUmLS0NCoUCjx49kuReXl7YuXMn3+wSCVReXg4nJyfEx8dL8tGjR2PXrl2CWlWvsrIyTJkyBVu2bJGtLVq0CF988YWAVqTqxowZI3uTP2zYMMTGxkJNTU1QKyIqLS2Fj48PQkJCJHn9+vWRkJCAQYMGCWpGRHUNr4gjohozaNAgxMTEoF69epI8JCQEPj4+vDKOSCA1NTXs2rULZmZmkjw4OLhWDqSePn0KT09P2RBOTU0Na9eurZX/zFT9vvjiC9kQzszMDLt27eIQjkig0tJSeHt7y4Zw9erVQ0xMDIdwRFSjeEUcEdW4lJQUODs7y2558/T0RFBQEK+MIxLo4sWL6NOnD+7fvy/J/f394efnJ6hV1Xr48CFGjhyJpKQkSa6pqYmtW7fKniRL9DICAgIwceJESWZkZIRjx47JBtxEVHOeDeFCQ0Mleb169bB3717Y2toKakZEdRUHcUQkxIuGcR4eHggKCoKmpqagZkSUkJAAJycnyUbzmpqa2LNnDxwdHQU2e3P5+flwdHTE0aNHJbmuri5CQ0MxfPhwQc1IlcXFxcHV1RUlJSXPM3V1dcTGxkKhUAhsRlS3lZSUwNvbG2FhYZKcQzgiEom3phKRELa2toiNjUX9+vUleVhYGLy9vSVvZoioZikUCqxdu1aSlZSUwMPDA0eOHBHU6s3l5OTAyspKNoQzMDBAQkICh3D0Wo4cOQIPDw/Z31tr167lEI5IoBcN4erXr4/Y2FgO4YhIGA7iiEiYwYMHY+/evZUO48aMGcNhHJFA06dPx8cffyzJHj16BIVCgWPHjglq9fquXbsGS0tLnD17VpKbmJjgwIEDsLa2FlOMVNqxY8cqfQjRxx9/jOnTpwtqRUQlJSUYM2ZMpUO4vXv3YvDgwYKaERHx1lQiUgIHDx6Ek5OT7I2Mu7s7du3axdtUiQSaMGECtm3bJsmMjIywf/9+9OrVS0ypV3Tu3DnY2dnh1q1bkrxFixZISkpC586dBTUjVZaRkYEhQ4bI9lMcP348tm7dKqgVET0bwu3evVuSP7sSzsbGRlAzIqK/cBBHRErhRcM4Nzc3BAcHcxhHJEhJSQnc3NwQHR0tyRs2bIjk5GRYWFgIavZyfv75ZygUCty9e1eSd+jQAcnJyWjdurWgZqTKMjIyYGdnh3v37klyFxcXhIeH8+8sIkFKSkowevRohIeHS3IO4YhImfDWVCJSCjY2NoiLi5PdphoeHg5PT08UFxcLakZUt2lqaiIsLEz2kIb8/HwMHjwYhw4dEtTs3x04cAC2trayIVy3bt2Qnp7OIRy9lkOHDsHW1lY2hHN0dERYWBiHcESCFBcXw9PTs9IhXFxcHIdwRKQ0OIgjIqVhbW2NuLg46OnpSfLIyEi4urqiqKhIUDOiuk1bWxsRERFwcHCQ5AUFBXBwcEBMTIygZi+2Z88eDBs2DA8ePJDkAwYMwKFDh9CkSRNBzUiVxcTEwMHBGa/erQAAIABJREFUAQUFBZLcwcEBERER0NbWFtSMqG4rKiqCq6srIiMjJbmenh7i4uK4DygRKRUO4ohIqbxoGBcfHw9HR0c8fPhQUDOiuk1HRwdRUVEYOnSoJC8qKsKoUaOwfft2Qc3kAgMD4ebmhidPnkhyBwcHJCUlwcjISFAzUmWBgYEYNWqU7EOhoUOHIioqCjo6OoKaEdVtDx8+hKOjI+Lj4yU5h3BEpKw4iCMipWNlZYX4+HgYGBhI8gMHDsDe3l62MTYR1QxdXV3ExMTAzc1NkpeUlGDcuHH47LPPIHrr2W+//RYTJkxAaWmpJPf09ERMTIzs9neif1NeXo7PPvsM48ePlz3N283NDTExMdDV1RXUjqhuu3//Puzt7XHgwAFJbmBggPj4eFhZWQlqRkT0YnxYAxEprWPHjsHBwUG2D4+FhQX27duHRo0aCWpGVLeVlZVhypQp2LJli2zNy8sLW7duFTKYWLp0KT777DNZPmXKFKxfvx7q6vz8kV5NUVERJkyYgJCQENnapEmTsGnTJv53RSRIXl4ehg4dihMnTkjyBg0aIDExEX369BHUjIjon3EQR0RK7fTp07C3t8edO3ckedeuXZGcnIxmzZoJakZECxYswIoVK2R5v379EBkZWWPnZ3l5OWbMmIHvvvtOtjZ37lysXLmyRnpQ7ZKTk4ORI0fi6NGjsrX58+dj+fLlAloREfDX+WlnZ4dffvlFkjdu3BhJSUno3r27oGZERP+OgzgiUnrnz5/HkCFDcOvWLUnesWNH7N+/Hy1bthTUjIg2bNiAGTNmyG7Ze+uttxAWFgZLS8tq/f1LSkowYcIE7Ny5U7a2fPlyzJ8/v1p/f6qd0tPT4eHhgT/++EOSa2pqYu3atZg2bZqgZkSUnZ2NIUOG4NKlS5Lc1NQU+/fvR+fOnQU1IyJ6ORzEEZFKuHr1KmxtbfHbb79J8jZt2iAlJQXt2rUT1IyIkpKS4OHhIdu/UVNTEytXrsTMmTOr5fctKiqCh4cH9u7dK8nV1dWxceNGTJ48uVp+X6rdvv32W8ybN082XDYyMkJYWBjs7e0FNSOirKws2Nra4vr165K8devWSElJwdtvvy2mGBHRK+AgjohURnZ2NmxtbXH58mVJbmpqipSUFHTq1ElQMyI6d+4cnJyccO3aNdmau7s7Nm/eXKVPKy0sLMTw4cORmpoqybW1tbFz5064u7tX2e9FdcP9+/cxefJk7N69W7bWtm1bxMbGokuXLgKaEREAXLhwAba2trI7JDp06ICUlBTeIUFEKoO7yxKRymjZsiXS0tJgbm4uyW/duoVBgwbhzJkzgpoRUZcuXZCRkQEHBwfZ2u7du9GtWzccPny4Sn6v3Nxc2NjYyIZw9evXR0xMDIdw9MoOHz6Mbt26VTqEc3BwQEZGBodwRAKdOXMGgwYNkg3hzM3NkZaWxiEcEakUDuKISKU0a9YMqamp6NmzpyS/c+cObGxscOTIEUHNiMjY2BhxcXH49NNPoaamJln77bffYGNjg8WLF8tu+XsVN2/exMCBAyt9Sl5ycjKGDh362q9NdU9JSQkWL14MGxsb2dYHampq+PTTTxEXFwdjY2NBDYnoyJEjsLGxkT24q2fPnjh06BAf3EVEKoe3phKRSrp//z4UCoXsaXb169dHeHg4FAqFoGZEBADx8fHw9fXF3bt3ZWu9evXC1q1b0bVr11d6zcuXL8POzk42MGnatCmSkpLw7rvvvlFnqlt++eUXTJgwARkZGbI1Y2Nj7NixA8OGDRPQjIieSUhIgJubGx49eiTJ+/Xrh4SEhCrd8oCIqKbwijgiUklGRkZISkqCjY2NJH/06BFcXFwQFBQkqBkRAcCwYcOQmZmJwYMHy9YyMjLQs2dPfP755yguLn6p1zt9+jQsLS0rfWBLeno6h3D00oqLi/H555+jZ8+elQ7hBg8ejMzMTA7hiAQLCgqCi4uLbAhnY2ODpKQkDuGISGVxEEdEKktfXx/x8fFwdnaW5MXFxfD19cXatWsFNSMiAGjevDmSk5OxfPlyaGlpSdaKi4uxZMkSWFhY4Oeff/7H10lPT4e1tTX+/PNPSd6lSxekp6ejffv2Vd6daqeff/4ZFhYWWLJkiWwIrKWlheXLlyM5ORnNmzcX1JCIAGDt2rXw9fWVnafOzs6Ij4+Hvr6+oGZERG+OgzgiUmm6urqIjIzE2LFjJXl5eTk++ugjLF68WFAzIgIAdXV1zJ8/H0ePHkXnzp1l62fPnkW/fv3w/vvvIy8vT7aekJAAe3t73L9/X5L37t0baWlpHJjQS8nLy8P777+Pfv364ezZs7L1Ll264KeffsL8+fOhrs4fj4lEWrx4MT766CNU3EFp7NixiIyMhK6urqBmRERVQ2PJkiVLRJcgInoT6urqcHV1RWFhoWzPuLS0NNy+fRvDhg2TbR5PRDXH1NQUkyZNQnl5OY4ePYqysrLna+Xl5Th58iS2bNkCIyMj9OzZE2pqaggNDYWHhweePHkieS0bGxskJiaiQYMGNf2PQSqmrKwMmzZtwogRI/Djjz/K3thrampi4cKF2LVrF5+6SCRYWVkZPvjgA6xZs0a2Nnv2bKxfvx4aGhoCmhERVS0+rIGIapVvvvkGCxculOXu7u7YuXMntLW1BbQior87ffo0/Pz8cOrUqUrXe/ToASsrK6xdu1YysAMAFxcXhIaGQkdHpyaqkgpLSUnBvHnz/vG/s4CAAHTv3r2GmxFRRU+fPoWPjw92794tW/v666/xf//3fwJaERFVDw7iiKjW2bJlC6ZOnYrS0lJJPmTIEERFRXFfESIlUFJSgv/+979YunQpHjx48FLfM3bsWAQEBPCKCPpHmZmZmD9/Pvbt21fpur6+Pj799FPMmjULmpqaNdyOiCp68OABRowYgf3790tyDQ0NbNy4EZMmTRLUjIioenAQR0S1UlRUFEaPHi27pa13796Ij4+HiYmJoGZE9He3bt3CnDlzEBIS8o9fN378eAQEBPAWc3qhrKwsLF26FDt27JBdSfmMl5cXVq9eDVNT0xpuR0SVyc3NxbBhw3D8+HFJrqOjg+DgYIwYMUJQMyKi6sNBHBHVWgcPHoSLiwsKCwsleadOnbBv3z60atVKUDMiqujAgQNwc3NDfn5+peuamprw9fXFJ598grfffruG25Eyu3r1KpYtW4YdO3agpKSk0q/p2rUr1q1bB2tr65otR0QvdOPGDQwdOhQXLlyQ5AYGBoiOjoaNjY2gZkRE1YuPhSKiWsvGxgapqalo3LixJL9w4QL69euHM2fOCGpGRH/39OlTbNy48YVDOOCvW1m3bt2KTp06Yfz48bh48WINNiRldPHiRYwfPx6dOnXC1q1bKx3CmZqaYsuWLTh9+jSHcERK5MyZM+jXr59sCNe4cWOkpqZyCEdEtRqviCOiWu/y5cuws7PDb7/9JskNDAwQEREBOzs7Qc2I6NGjRxgxYgSSkpIkubq6OrS1tVFUVFTp96mpqcHZ2Rlz5szBoEGDaqIqKYm0tDSsXr0ae/fulT0F9RlDQ0PMnz8fs2bNQv369Wu4IRH9k+TkZIwaNUp2x0Lr1q2RnJyMDh06CGpGRFQzeEUcEdV6HTp0wI8//ghzc3NJXlhYCEdHRwQGBgpqRlS33bt3D3Z2drIhnK6uLqKiopCdnY358+dDT09P9r3l5eWIiYmBlZUV3nvvPYSGhqK4uLimqlMNKy4uRmhoKN577z1YWVkhJiam0iGcnp4e5s+fj6tXr+KTTz7hEI5IyQQGBsLR0VE2hDM3N8eRI0c4hCOiOoFXxBFRnXHv3j24urri0KFDsrWlS5di8eLFAloR1U05OTkYOnQoMjMzJbmBgQFiYmIktxHm5uZi1apV+P777//xCavNmjXDxIkT8f7773MPyFrixo0b+OGHH+Dv74+cnJwXfp2+vj6mT5+OuXPn8mE8RErqiy++wKeffirLrayssGfPHjRo0EBAKyKimsdBHBHVKU+fPsW4ceMqfULjpEmTsGHDBmhqagpoRlR3XL9+HXZ2drhy5YokNzExQUJCAnr16lXp9+Xm5uLbb7/Fhg0bcPfu3Re+vrq6OoYNG4bJkydDoVBAS0urSvtT9SouLkZCQgI2b96M+Pj4Fz4BFQCMjY0xbdo0zJw5kwM4IiVVUlKCadOmYcuWLbI1Ly8vBAYGQltbW0AzIiIxOIgjojqnvLwcCxYswMqVK2VrCoUCYWFh0NfXF9CMqPY7d+4c7OzscOvWLUnevHlzJCcno3Pnzv/6Gg8fPsTWrVvx3//+F1lZWf/4tSYmJhg9ejTGjh37wgEfKYeMjAxs374dwcHByM3N/cevbdeuHWbNmoUJEyZUeusyESmHBw8ewMPDAwkJCbK1efPmYfny5VBTUxPQjIhIHA7iiKjO+v777zFjxgzZ1RY9e/ZEXFwcmjVrJqgZUe10/PhxKBQK5OXlSfIOHTogOTkZrVu3fqXXKy0tRVRUFNatW4e0tLR//frOnTtj9OjRGDVqFLp06fJKvxdVj3PnziE8PBwhISE4f/78v379oEGD8OGHH2LEiBHQ0NCogYZE9LpycnLg6OiIkydPSnJ1dXWsXbsW06dPF9SMiEgsDuKIqE6Ljo7G6NGj8fjxY0nepk0bJCQkoFOnToKaEdUuBw4cgIuLi2yPt27dumHfvn1o2rTpG73+uXPnsHHjRmzfvh3379//16/v3Lkz3Nzc4ObmhnffffeNfm96NZmZmQgPD0d4ePhLDd+MjIwwduxYTJ06lQNUIhVx4cIFKBQKXL9+XZLXq1cPwcHBcHFxEVOMiEgJcBBHRHXeTz/9BGdnZ9mtUMbGxoiOjoalpaWgZkS1w549e+Dl5YUnT55I8gEDBiA2NrZKN+h+9OgRgoODsW3bNqSnp7/U97Rq1QrDhg3DsGHDMHjwYN7qWMUePXqElJQUxMfHIz4+Hjdu3Hip77O0tMT48eMxevRoPv2USIWkp6fDxcVFtpeniYkJ9u7di759+wpqRkSkHDiIIyICcOXKFTg4OODq1auSXEdHBwEBARgzZoygZkSqLTAwEBMnTkRpaakkd3BwQERERLUOWLKysrBjxw5s3779X/eSe0ZHRwdWVlawtbWFtbU1LCwseAvkKyotLcWJEyeQmpqKlJQUHDp0SDaEfZF27dph7Nix8PX1Rbt27aq5KRFVtV27dsHPz092zrdv3x4JCQlo3769oGZERMqDgzgiov/nzp07cHZ2xrFjx2Rrn376KZYsWcINhYlewf/+9z/MmjULFX/U8PDwwM6dO2v0aaZHjhxBWFgYIiIicPPmzZf+PkNDQwwcOBDW1tbo168fLCwsoKurW41NVU9RURFOnDiBo0ePIjU1FYcPH0ZBQcFLf3+LFi0watQoeHh4oH///tXYlIiqS3l5OZYsWYKlS5fK1vr06YO9e/eicePGApoRESkfDuKIiP7m0aNHGD16NGJiYmRrnp6e2LZtG9+EE72Ezz//HEuWLJHl77//PjZs2AB1dfWaL4W/3iweO3YM4eHhiIyMxLVr117p+7W0tPDuu++ib9++6NOnD3r06IFOnTpBU1Ozmhorl5KSEly4cAGnTp3CsWPH8NNPPyEzMxPFxcWv9Dpt27bFyJEj4ebmhj59+vBDDiIVVlRUhPHjxyM0NFS2Nnz4cAQHB/P2ciKiv+EgjoiogtLSUsyePRtr166Vrb333nuIjo7mE1WJXqC8vBwfffQR1q1bJ1ubN28eVqxYIaDVi507d+753mXp6emvPFACAG1tbXTp0gXdunXDu+++iy5duqBDhw5o06aNyt7WWlpaiuvXr+Py5cs4d+4cMjMzcebMGZw7dw5Pnz595dfT0tKCpaXl8734+NAFotohJycHLi4u+Pnnn2VrM2bMwJo1a1T2z0EiourCQRwR0Qts2LABM2bMQElJiSRv2bIlYmNj+aRFogpKSkrg5+eHHTt2yNaWL1+O+fPnC2j18goKCrB//34cOHAABw8exLlz597o9bS1tdGuXTt07NgR7dq1Q8uWLdGqVSu0bNkSLVu2RLNmzYRdGVhWVoacnBxkZ2cjOzsbN27cQHZ2NrKysnDp0iVkZWW91sDt77p06QIbGxsMHjwYQ4YMgaGhYRW1JyJlkJmZCScnJ2RnZ0tyTU1NrF27FtOmTRPUjIhIuXEQR0T0D5KTk+Hu7o779+9Lcn19fQQHB8PJyUlQMyLlUlRUBE9PT9lt3erq6ti4cSMmT54sqNnr+/PPP5GamorU1FQcOXIEv/zyi+yhE29CXV0djRo1QuPGjZ//atSoEQwNDaGvrw8DAwPo6+tDX18fOjo60NTUlPwC/hp+/v3XkydP8ODBAzx48ACFhYV48OABCgoKkJeXhzt37jz/lZeXh7Kysir7Z9HQ0EDXrl3Rv39/WFtbw9raGk2aNKmy1yci5RIbG4vRo0fjwYMHktzIyAi7d++GnZ2doGZERMqPgzgion9x/vx5ODk5yZ66qK6ujpUrV2L27NmCmhEph8LCQgwfPhypqamSXEtLCzt37oSHh4eYYlXs4cOHyMjIwE8//YRjx47h5MmT+O2330TXEqJ169bo2bMn+vTpg759+6JXr17Q09MTXYuIasCaNWswb9482TC/Xbt2iI2NRefOnQU1IyJSDRzEERG9hNzcXIwcORKHDx+WrU2ePBnr16+vM5u1E/1dbm4uFAoFMjIyJHn9+vURGRmJoUOHCmpWM+7du4fMzMzne6j98ssvuHTpEu7evSu6WpUwNjZGx44d0bVr1+d74L377rto0KCB6GpEVMNKSkrwwQcfYPPmzbK1gQMHIjIyEiYmJgKaERGpFg7iiIhe0tOnT/H+++8jMDBQtjZ48GCEh4ejYcOGApoRiXHz5k3Y29vj/PnzkrxBgwaIi4tD//79BTUTLy8vD5cuXcLly5dx+fJl3Lhx4/k+bDdv3sSTJ09EVwQA6OjooEWLFs/3r2vVqhU6dOiADh06oGPHjmjUqJHoikSkBPLz8+Hm5oYDBw7I1saNG4cffvgB2traApoREakeDuKIiF7R119/jU8++QQV//js2LEjYmJiYGZmJqgZUc25fPky7OzsZLdmNm3aFPv27UO3bt0ENVN+5eXl+PPPP3H79m3Jvm137tzB3bt3Jfu7Pfvfp0+fyvaDAyDbN05bW1uyv9yz/zU2NpbsRde4cWM0bdoUTZo0gZqamuD/R4hImV28eBHDhw/HpUuXJLmamhqWLVuGhQsXCmpGRKSaOIgjInoNkZGR8PX1xaNHjyS5oaEhgoKC+BAHqtXOnDmDoUOH4vbt25K8TZs2SE5ORvv27QU1IyKiqhQbGwtvb28UFBRI8vr162PHjh0YOXKkoGZERKpLXXQBIiJVNHLkSKSlpcHU1FSSFxQUwMXFBcuWLZNdMUdUG/z444+wsrKSDeE6d+6M9PR0DuGIiGqB8vJyLFu2DC4uLrIhnKmpKdLS0jiEIyJ6TbwijojoDfz+++9wcXHBiRMnZGujRo1CYGAgnyRItUZiYiJGjRoluxK0d+/eSEhI4H5iRES1wMOHDzFu3DhERETI1iwsLBAdHY3mzZsLaEZEVDvwijgiojfQvHlzHD58GN7e3rK1iIgI9OvXD1lZWQKaEVWt0NBQDB8+XDaEs7GxQUpKCodwRES1QFZWFvr161fpEM7b2xuHDx/mEI6I6A1xEEdE9Ibq1auHnTt3YtWqVdDQ0JCsnT17Fr1790ZycrKgdkRv7ocffsCYMWNQXFwsyV1cXJCQkAADAwNBzYiIqKokJyejd+/eOHv2rCTX0NDAqlWrsHPnTtSrV09QOyKi2oODOCKiKjJnzhwkJCTA2NhYkt+9excKhQKrV68W1Izo9a1YsQJTpkxBWVmZJB87dizCw8Oho6MjqBkREVWV1atXQ6FQ4O7du5Lc2NgYiYmJmDNnjqBmRES1D/eIIyKqYllZWXB1dZV9ogz8dVvH5s2b+YkyqYQFCxZgxYoVsnzGjBn49ttvoaamJqAVERFVlcePH2Py5MkICgqSrb3zzjvYs2cP2rVrJ6AZEVHtxUEcEVE1+LeNjqOiotCyZUsBzYj+XVlZGaZOnYrNmzfL1j799FN8/vnnAloREVFVys7OhqurK06ePClb4wOniIiqD29NJSKqBnp6eti9eze+/PJLqKtL/6g9ceIEevXqhYMHDwpqR/RiT58+hZeXl2wIp6amhv/9738cwhER1QIHDx5Er169ZEM4dXV1fPnll9i9ezeHcERE1YRXxBERVbPY2Fh4e3ujoKBAkmtoaODLL7/EggULeIsfKYVHjx5h5MiR2LdvnyTX1NSEv78/xo4dK6gZERFVhfLycixfvhyLFi1CaWmpZM3Q0BBBQUFwcnIS1I6IqG7gII6IqAZcvHgRLi4uuHjxomxt+PDhCAwMRIMGDQQ0I/rLvXv34OjoiCNHjkhyXV1dhISEwMXFRVAzIiKqCvfu3cO4ceMQExMjWzMzM0N0dDTMzMwENCMiqls4iCMiqiEFBQXw8fHB3r17ZWvt2rVDeHg4evToIaAZ1XW3b9+Gvb09MjMzJbmBgQGio6NhY2MjqBkREVWFU6dOwc3NDVlZWbI1Z2dn7Ny5E4aGhgKaERHVPdwjjoiohhgaGiI6OhrLli2DhoaGZC0rKwv9+/eHv7+/oHZUV12/fh2WlpayIVyjRo1w4MABDuGIiFScv78/+vfvLxvCaWhoYNmyZYiOjuYQjoioBvGKOCIiAQ4cOIDRo0fjzz//lK35+fnh+++/h66uroBmVJecO3cO9vb2+P333yV58+bNkZycjM6dOwtqRkREb6qoqAjTp09HQECAbK1JkyYIDg7G4MGDBTQjIqrbOIgjIhLk999/h4eHh2xPLgDo3r07wsPD8fbbbwtoRnXB8ePHoVAokJeXJ8nbt2+P5ORktGnTRkwxIiJ6Y1evXoWbmxtOnz4tW+vfvz/CwsLQvHlzAc2IiIi3phIRCdK8eXOkpqZi5syZsrXTp0/DwsIC0dHRAppRbXfw4EHY2trKhnDdunVDeno6h3BERCosOjoaFhYWlQ7hZs6cidTUVA7hiIgE4hVxRERKYPfu3Zg4cSIKCwsluZqaGubPn1/pvnJEz5SVleH06dO4fv067t69C2NjY7Rp0wbdu3eHurr0M7fo6Gh4enriyZMnkrx///6Ii4vj03uJiFRUaWkpPvnkE6xYsQIV3+IZGBjA398f7u7ugtoREdEzHMQRESmJixcvYtSoUfj1119la4MGDUJQUBBatGghoBkpq+zsbHz11VeIiIjAnTt3ZOuNGzfGqFGj8PHHH6Nly5bYvn07/Pz8UFpaKvm6oUOHIjIyEvXr16+p6kREVIVu3rwJb29vpKWlydbMzc0REREBMzMzAc2IiKgiDuKIiJTIw4cPMWXKFAQFBcnWGjVqhK1bt8LZ2VlAM1I2X3/9NT7//HPZlW2V0dHRwZAhQxAfHy+7SsLDwwM7d+6ElpZWdVUlIqJqtHfvXkyYMEG23QAAeHt7Y9OmTdDT0xPQjIiIKsNBHBGREtqwYQNmzpyJp0+fytY++ugjrFixAtra2gKakWglJSXw8fFBaGjoG7/W5MmTsXHjRtntq0REpPyePn2K+fPn43//+59sTVtbG99++y2mTZsmoBkREf0TDuKIiJTU8ePH4enpiWvXrsnWevbsiZCQEHTo0EFAMxJpxowZWLdu3Ru/zvz587F8+fIqaERERDXt8uXL8PLywsmTJ2Vrbdu2RWhoKHr37i2gGRER/Rt+BE5EpKR69+6NU6dOVbqx8smTJ2FhYVHpLaxUe+3Zs6dKhnC+vr4cwhERqaigoCBYWFhUOoRzd3fHqVOnOIQjIlJiHMQRESkxIyMjhIWFYdOmTahXr55krbCwED4+PpgwYQIePnwoqCHVlNLSUnz88cdV8loZGRmyBzYQEZFye/jwISZMmAAfHx/ZU9br1auHTZs2ISwsDEZGRoIaEhHRy+CtqUREKuKXX36Bp6cnzp07J1szMzNDaGgounXrJqAZ1YR9+/bBwcGhyl4vMTERQ4cOrbLXIyKi6nPmzBl4enri4sWLsrUuXbogNDQUXbt2FdCMiIheFa+IIyJSEV27dkVGRgYmTZokW7t48SL69u2L9evXC2hGNSE2NlapX4+IiKrH+vXr0bdv30qHcJMmTUJGRgaHcEREKoSDOCIiFVKvXj1s3rwZISEhMDQ0lKwVFRVh+vTpGDlyJPLy8gQ1pOpy4sSJKn29yvYWIiIi5ZGXl4eRI0di+vTpKCoqkqwZGhoiJCQEmzdvlm1dQUREyo2DOCIiFeTp6fnCzZijoqLwzjvvYN++fQKaUXXJycmp0tf7448/qvT1iIio6uzbtw/vvPMOoqKiZGvPHubk6ekpoBkREb0pDuKIiFRUu3bt8OOPP2LOnDlQU1OTrP3xxx9QKBSYMWMGHj9+LKghERERvYrHjx9jxowZUCgUsg9M1NTUMGfOHPz4449o166doIZERPSmOIgjIlJhWlpaWLVqFeLi4tC4cWPJWnl5OdatWwcLCwucOnVKUEOqKm+99ZZSvx4REb2ZkydPwsLCAuvWrUPF5+k1btwYcXFxWLVqFbS0tAQ1JCKiqsBBHBFRLaBQKJCZmYlhw4bJ1s6fP48+ffrgm2++QVlZmYB2VBV69uyp1K9HRESvp6ysDN988w369u2L8+fPy9aHDRuGzMxMKBQKAe2IiKiqcRBHRFRLNGvWDHFxcVi/fj3q168vWSsuLsbChQthbW2N69eviylIb8TJyUmpX4+IiF7d9evXYW1tjYULF6K4uFiyVr9+faxfvx5xcXFo1qyZoIZERFTV1MorXvdMREQq7+LFi/Dx8UFGRoZszdDQEOvWrcPYsWMFNKPXVVpainfeeafSqyVeVefOnXH27FloaGhUQTP/GbAZAAAf9UlEQVQiInod27dvx4cffoiCggLZWq9evbBz506YmZkJaEZERNWJV8QREdVCZmZmOHr0KBYtWiQbthQUFGDcuHFwd3fH3bt3BTWkV6WhoYGvv/66Sl7r66+/5hCOiEiQu3fvwt3dHePGjZMN4TQ0NLBo0SIcPXqUQzgiolqKV8QREdVyR44cga+vL7KysmRrpqam8Pf3h4ODg4Bm9DpmzJiBdevWvfb3f/jhh1i7dm0VNiIiopeVmJiIiRMn4tatW7K1du3aYceOHejfv7+AZkREVFN4RRwRUS3Xv39/nDlzBn5+frK1W7duQaFQYNKkSZXeGkPKZ82aNfD09Hyt7/X09MSaNWuquBEREf2bgoICTJo0CQqFotIhnJ+fH86cOcMhHBFRHcBBHBFRHaCvrw9/f39ERUXBxMREtu7v7w9zc3MkJiYKaEevQlNTEyEhIfjqq6+go6PzUt+jo6ODr776CiEhIdDU1KzmhkRE9HeJiYkwNzeHv7+/bM3ExARRUVHw9/eHvr6+gHZERFTTeGsqEVEdk5OTAz8/PyQkJFS6PnHiRKxevRpGRkY13IxeVXZ2Nr766itERETgzp07svXGjRtj1KhR+Pjjj9GyZUsBDYmI6q779+9jzpw5lQ7gAEChUCAgIIBPRCUiqmM4iCMiqqM2b96MOXPmoLCwULbWokULbN68mXvHqYiysjKcPn0a169fx927d2FsbIw2bdqge/fuUFfnxe9ERDUtMTERkydPxs2bN2VrBgYGWL16NSZPniygGRERicZBHBFRHXbjxg1MnjwZSUlJla77+flhzZo1vDqOiIjoJdy/fx+zZ89GQEBApev29vbYvHkzWrVqVcPNiIhIWfBjciKiOqxVq1bYt28ffvjhBxgaGsrWAwIC0LVr1xfexkr/X3v3Hu1zne+B/7U321a2LWQjKQmR5DKmI2s4RivmRE5Oo0lzOKoJQ0UuLVOjMa1TpzlhZChJl6Gi5OSIilY4NC4nNQfDuBQi5ZLrZrJdtt8f82v/6udLlP3ZbI/HWp+1v2u9X59vT6ta6en9eX8A4O/eeuutuOqqq1KWcNnZ2TF27NiYOXOmEg7gHGdHHAAR8ffzxn7xi18cd3fc7bffHr///e/tjgOAr9mzZ0/cd9998fzzz6dcb9OmTYwbN85ZnQBEhB1xAPy/qlevHjNnzoxnnnkm5e64559/PurXrx/Tpk0rgnQAcOaZNm1a1K9fP2UJl52dHc8880zMnDlTCQdAATviADjGpk2b4q677oqZM2emXL/55pvjD3/4Q1StWjXhZABQ9D7//PO45557YsqUKSnX27ZtG88884wCDoBj2BEHwDGqV68eb7/9dowbNy7l7rgpU6ZEvXr1YsyYMeHPcwA4Vxw9ejTGjBkT9erVS1nCZWdnx7hx4+Ltt99WwgGQkh1xAJzQpk2bonv37vH222+nXG/evHmMHTs26tevn3AyAEjOihUronv37rFgwYKU6z/5yU9i7NixCjgATsiOOABOqHr16vHWW2/FhAkTolKlSsesL1iwIBo3bhyDBw+OvLy8IkgIAIUnLy8vBg8eHI0bN05ZwlWqVCkmTJgQb731lhIOgG9lRxwAJ23Hjh0xYMCAeOGFF1Ku16lTJ55++ulo1apVorkAoDDMnTs3evToEWvWrEm53q1btxg6dGhUrFgx4WQAnK0UcQCcstmzZ0fPnj1j7dq1Kddvv/32GDp0aFSoUCHhZADw/e3cuTMGDBiQ8m2oERG1a9eOMWPGROvWrRNOBsDZzqOpAJyy1q1bx7Jly+LBBx+MjIyMY9aff/75qFu3brz00ktFkA4AvruXXnop6tatm7KEy8jIiAcffDCWLVumhAPgO7EjDoDv5S9/+Ut07949Fi5cmHK9VatWMWrUKC9zAOCMtmLFirj77rtj7ty5KdevvfbaGDt2bFx11VXJBgOgWLEjDoDv5aqrroo//elPMXr06MjOzj5mfe7cudGoUaPo379/5ObmFkFCADi+vXv3Rv/+/aNRo0YpS7js7OwYPXp0/OlPf1LCAfC92REHwGnz2WefxT333BP/9V//lXK9atWq8fjjj8fPf/7zhJMBwLFeeumlGDhwYHz++ecp1//lX/4l/vCHP8RFF12UcDIAiitFHACn3bRp06JPnz6xYcOGlOstW7aMUaNGRYMGDZINBgARsXz58rj77rtj3rx5Kddr1KgRTzzxRHTo0CHhZAAUdx5NBeC069ChQ6xcuTIGDx4cpUuXPmZ93rx50aRJk+jbt2/s2bOnCBICcC7as2dP9O3bN5o0aZKyhCtdunQMHjw4Vq5cqYQDoFDYEQdAoVq3bl306dMnpk+fnnK9cuXK8Z//+Z/RpUuXSEtLSzgdAOeCo0ePxoQJE+L++++PrVu3ppxp3759PPHEE1GzZs2E0wFwLlHEAZCIN954I/r27Rvr1q1Luf6jH/0oRo0aFQ0bNkw4GQDF2dKlS+Puu++O9957L+V6zZo1Y8SIEXHjjTcmnAyAc5FHUwFIxI033hgrVqyIIUOGpHxc9b333osmTZpEjx49Yvv27UWQEIDiZOvWrdG9e/do0qRJyhKudOnSMWTIkFixYoUSDoDE2BEHQOLWr18fffv2jWnTpqVcL1euXAwePDjuueeeKFWqVMLpADibHThwIIYPHx6PPfZY5Obmppzp0KFDjBgxIi677LKE0wFwrlPEAVBk3nzzzbj33nvj448/Trleq1atGDZsmAOzAfhWR48ejUmTJsWgQYNi48aNKWcuv/zyGDlyZNxwww0JpwOAv1PEAVCk8vLyYujQofHYY4/Fvn37Us5cd911MWzYMOfHAZDSwoUL47777ovFixenXM/KyopBgwbFgAEDIjMzM+F0APD/UcQBcEbYsmVLPPjgg/HCCy9Efn7+Mevp6enRtWvX+Pd///eoVq1aESQE4EyzYcOGGDRoULzyyisp19PT06Nbt27xyCOPRJUqVRJOBwDHUsQBcEZZunRp9OvXL2bPnp1y/fzzz4/+/fvH/fffH1lZWQmnA+BMkJubG48++miMGDEiDhw4kHKmdevWMXz4cLupATijKOIAOCNNmzYtBg4cGGvWrEm5Xrly5Xj44YfjzjvvjBIlSiScDoCicPjw4Xj22WfjoYceim3btqWcqVOnTjz++OPOFwXgjKSIA+CMdejQoXjyySfj4Ycfjp07d6acqVu3bjz66KPRsWPHhNMBkJSjR4/Ga6+9Fr/+9a+P+wc0FSpUiIceeih69eoVGRkZCScEgJOjiAPgjLdr1654+OGHY/To0XHo0KGUM82aNYvf/e530bJly4TTAVCYZs2aFQ888EB88MEHKdczMjKid+/e8dBDD0X58uUTTgcAp0YRB8BZY+3atTFw4MD47//+7+POtGvXLv7jP/4jGjRokGAyAE63xYsXx69+9auYM2fOcWf++Z//OR5//PGoXbt2gskA4LtLL+oAAHCyateuHVOnTo05c+bENddck3JmxowZ0ahRo+jSpUusW7cu4YQAfF8rV66Mjh07RrNmzY5bwl1zzTUxZ86cmDp1qhIOgLOKIg6As06rVq1i8eLFMWXKlKhXr94x6/n5+fHiiy9G3bp1o2fPnrF58+YiSAnAqfjkk0/i9ttvjwYNGsTUqVNTztSrVy+mTJkSixcvjlatWiUbEABOA4+mAnBWO3LkSIwfPz6GDBkSGzduTDlTunTp6NWrVwwaNCgqVaqUcEIATmT79u3xyCOPxFNPPRUHDx5MOXPJJZfEkCFDomvXrt6UDcBZTREHQLGQl5cXTz31VDzyyCPxxRdfpJzJysqKPn36RP/+/R3oDVDEdu7cGcOHD48nnngi9u3bl3LmwgsvjAcffDB++ctfRmZmZsIJAeD0U8QBUKzk5ubGsGHDYvjw4ZGbm5tyJjs7O/r06RP9+vWLCy64IOGEAOe23bt3FxRwe/fuTTlTtmzZ6NevX/Tv3z/Kli2bcEIAKDyKOACKpe3bt8ejjz4aTz31VOTl5aWcKVeuXPTt2zfuu+++KFeuXMIJAc4te/bsid///vcxYsSI2LNnT8qZzMzM+OUvfxkPPPCAowQAKJYUcQAUaxs3bowhQ4bE+PHj48iRIylnLrjggujbt2/06dPHDjmA02zXrl0xcuTIGDFiROzevTvlTIkSJaJr164xZMiQuOSSSxJOCADJUcQBcE5Ys2ZNPPzwwzFx4sTIz89POZOdnR29e/eOfv36xYUXXphwQoDi5Ysvvojhw4fH6NGjj/sIanp6enTu3DkeeuihqFOnTsIJASB5ijgAzimrVq2K3/72t/Hqq68et5ArU6ZM9OjRIwYOHBhVqlRJOCHA2W3Lli0xdOjQGDNmTOzfvz/lTHp6etxyyy3xm9/8JurWrZtwQgAoOoo4AM5JK1eujN/+9rcxefLkON5/CkuXLh133nlnDBw4MC699NKEEwKcXTZs2BBDhw6NZ599Ng4cOJByJi0tLTp16hS/+c1v4sorr0w4IQAUPUUcAOe0FStWxCOPPBKvvvrqcc+QK1myZHTu3Dnuv//+uOqqqxJOCHBm+8tf/hK/+93vYtKkSXH48OGUMyVKlIhbbrklfv3rXyvgADinKeIAICLWrl0bjz76aLz44ovH/R/JtLS0aN++fQwaNCiaN2+ecEKAM8uCBQvisccei+nTpx93Z3HJkiXjX//1X+OBBx6I2rVrJ5wQAM48ijgA+Jr169fHY489Fi+88EIcPHjwuHMtWrSIgQMHRvv27SMtLS3BhABF5+jRozF9+vR4/PHHY/78+cedK1WqVHTr1i1+9atfRY0aNZILCABnOEUcAKSwefPmGDZsWIwdO/a4h41HRNStWzf69esXXbp0idKlSyeYECA5Bw4ciAkTJsSwYcNi9erVx50rU6ZMdO/ePfr37x/VqlVLMCEAnB0UcQBwAjt37oxRo0bFyJEjY8eOHcedy8nJid69e0evXr3iwgsvTDAhQOHZsWNHPPnkkzFq1KjYtm3bcecqVqwY9957b9x9991RoUKFBBMCwNlFEQcAJ2H//v0xbty4GDZsWGzatOm4c+edd1507do17r33XgeSA2etlStXxhNPPBETJkyIL7/88rhz1atXj/79+8ddd90V559/foIJAeDspIgDgFNw6NChmDRpUgwbNiyWLl16wtk2bdpEnz594p/+6Z+cIwec8Y4ePRpvvfVWjBgxIt55550TzjZs2DD69+8ft956a2RkZCSUEADOfoo4APiO3nnnnRg6dGjMmjXrhHN16tSJe+65J7p16xZZWVkJpQM4Ofv27Ys//vGPMXLkyFizZs0JZ9u0aRMDBgyI66+/PqF0AFC8KOIA4Htavnx5DB06NCZNmnTCN61mZ2fHv/3bv0WvXr2ibt26CSYEONaqVaviySefjD/+8Y+xd+/e486VKlUqbr311hgwYEA0aNAgwYQAUPwo4gDgNNmyZUs8+eSTMWbMmNi+ffsJZ6+77rro3bt3dOjQIUqUKJFQQuBcd+TIkZg2bVqMHj063n333RPOVqpUKXr27Bm9evWKKlWqJJQQAIo3RRwAnGZ5eXnx8ssvx4gRI2LZsmUnnL344oujR48eceedd0bVqlUTSgicaz7//PN49tlnY+zYsSd84UxExNVXXx19+/aN2267LTIzMxNKCADnBkUcABSiOXPmxMiRI+ONN96II0eOHHeuZMmS0aFDh+jevXtcf/31kZ6enmBKoDjKz8+Pd955J55++ul444034vDhw8edLVGiRNx4441x7733xo9//OMEUwLAuUURBwAJ2LhxY4wZMybGjRv3rY+t1qhRI+6666644447PA4GnLItW7bEc889F88880xs2LDhhLOVKlWKX/ziF9GzZ8+45JJLkgkIAOcwRRwAJCgvLy8mT54co0ePjkWLFp1wtmTJktGuXbu444474oYbboiSJUsmlBI42xw+fDjefPPNeO6552LGjBkn3P0WEdGsWbPo3bt3dOrUyeOnAJAgRRwAFJEPP/wwxowZExMnTox9+/adcLZKlSrRpUuXuOOOO7xxFSiwatWqeO6552LChAmxZcuWE85mZWVF586do2fPntGkSZOEEgIAX6eIA4AilpubGy+99FKMHTs2/vznP3/rfPPmzaNbt25xyy23RLly5RJICJxJdu/eHZMnT44XXnghFixY8K3zjRs3ju7du8fPf/7zKFu2bAIJAYDjUcQBwBnk/fffj6effjomTZoU+/fvP+Fs6dKlo0OHDtGlS5f4yU9+4tFVKMYOHz4cb7/9dowfPz7eeOONOHDgwAnny5QpE7feemv06NEjfvjDHyaUEgD4Noo4ADgD7du3L1555ZV47rnnTmrHS6VKlaJz587RpUuXaNq0aQIJgSQsWbIkXnzxxZg4cWJs27btW+ebN28ed9xxR/zsZz+LrKysBBICAKdCEQcAZ7ivzoAaP358bN269Vvna9euHZ07d47OnTs7Tw7OQqtWrYqJEyfGxIkTY+3atd867wxJADh7KOIA4Czx1VsRx48fH9OnT4+8vLxvvadx48bRuXPnuPXWW6N69eoJpAS+i02bNsWkSZNi4sSJJ3VWZGZmZrRv3z66du3qrcoAcBZRxAHAWWjXrl3xyiuvxIQJE07q0dW0tLRo1qxZdOrUKW6++ea45JJLEkgJnMjGjRtjypQpMXny5Fi0aFGczG/LmzdvHl26dImf/exnUb58+QRSAgCnkyIOAM5yH330UUyYMCFefvnl+Oijj751Pi0tLa655pro1KlT/PSnP41LL700gZRARMQnn3wSr732WkyePDkWL158UvfUqlUrbrvttujSpUvUqlWrkBMCAIVJEQcAxcj7778fL7/8crz66qvx2WefndQ9P/jBD6Jjx45x0003Rf369Qs5IZx7VqxYEVOnTo3XX389Pvjgg5O656KLLopbbrklbrvtNm89BYBiRBEHAMVQfn5+/M///E9MnDgxpkyZEjt37jyp+2rVqlVQyjVr1izS09MLOSkUP/n5+bFo0aKC8u1kdqpGRFSoUCFuvvnm6Ny5c/zjP/6jf/8AoBhSxAFAMXfo0KF4991347XXXovXX3/9pEu5nJycuOGGG6J9+/bRpk2bKFu2bCEnhbNXbm5uzJo1K6ZPnx5vvvlmbNu27aTuq1ChQnTs2DF++tOfxnXXXRcZGRmFnBQAKEqKOAA4hxw+fDhmz54dkydPjtdffz127NhxUvdlZGREy5Yto3379tGuXbuoXbt2ISeFM9/atWtjxowZMX369Jg3b14cOnTopO6rWLFidOzYMTp16hStW7f2xlMAOIco4gDgHHXkyJGYN29eTJ06NaZOnRobN2486Xsvv/zyaNu2bbRt2zZat24dWVlZhZgUzgz79u2L2bNnx8yZM2PmzJnx8ccfn/S9l1xySdx0001x0003RcuWLaNEiRKFmBQAOFMp4gCAiIj48MMPC0q55cuXn/R9GRkZ0bx582jbtm20adMmGjdu7GwrioX8/Pz485//HLNmzYqZM2fGggULTnrXW0REgwYNCsq3Jk2aFGJSAOBsoYgDAI6xfv36mD59esyYMSPmzp0beXl5J31v+fLl48c//nG0bt06WrduHfXq1SvEpHB6/fWvf43Zs2fH7NmzY86cObFr166TvjczMzNatWoV7dq1i/bt28dll11WiEkBgLORIg4AOKH9+/fHO++8EzNmzIgZM2bE559/fkr3V61aNVq3bh2tWrWKFi1axBVXXFFISeHUrV69OubPnx9z586N2bNnf6d/vtu1axft2rWL66+/PsqUKVNISQGA4kARBwCctKNHj8ayZcsKzsh677334uDBg6f0HTk5OdGiRYto2bJltGjRIho2bOhRVhKRn58fS5cujfnz58e8efNi/vz5J/1206+UKlUqfvSjHxWckXj11VdHWlpaISUGAIobRRwA8J3t378/5s6dGzNnzoxZs2bF6tWrT/k7srOz4x/+4R/i2muvjWbNmkWzZs2ifPnyhZCWc82uXbti0aJFsWjRoli4cGEsXrw49u7de8rfc8UVV0SbNm2ibdu20apVK7veAIDvTBEHAJw2mzdvLjhf6913341Nmzad8nekpaXFFVdcEddee21cc8010bRp07j66qujVKlShZCY4uLgwYOxbNmyWLJkSfzv//5vLFy4MFavXh3f5be61atXj+uuu67gnMNq1aoVQmIA4FykiAMACs1HH30Us2fPjrlz58b8+fPj008//U7fU6pUqWjQoEH88Ic/jKZNm8YPfvCDuPLKK5Vz56iDBw/GypUrY8mSJfHBBx/E+++/H8uXLz/lx6S/cvHFF0eLFi2iVatW0bp166hVq9ZpTgwA8HeKOAAgMevXry84m2vevHmxdu3a7/xdGRkZUa9evWjYsGE0atQoGjZsGA0bNowLL7zwNCamqH3xxRexdOnSWLp0afzf//1fLF26NP7617/GoUOHvvN31q5du+CMwpYtW3q7KQCQGEUcAFBktm7dGgsXLiy4lixZEl9++eX3+s4qVarElVdeGfXr1//Gz4oVK56m1BSGHTt2xMqVK2PFihXf+Llly5bv9b3nnXdeNG3aNK699tqCq3LlyqcpNQDAqVHEAQBnjEOHDsXSpUsLDtZfsmRJrFmz5jud8/X/l5OTE3Xq1Ik6depE7dq1Cz5ffvnlcd55552G9HybL7/8Mj7++ONYs2ZNrFmzJtauXVvw+VTfXppKWlpa1KlTJ5o2bVrwApBGjRpFyZIlT0N6AIDvTxEHAJzR9u7dGx9++GEsWbKk4Fq3bt1pKeci/l7eXHTRRXHZZZdFjRo14rLLLiu4Lr300qhWrZqz6E7SwYMHY/PmzfHJJ5/E+vXrC64NGzbE+vXr47PPPjutf99q1qwZTZs2LbiaNGkS2dnZp+X7AQAKgyIOADjr5ObmFpwb9tW1fPny7/1YayppaWmRk5MT1apVi4svvrjgqlq1auTk5ETlypWjcuXKkZOTU2wLu4MHD8a2bdti69atsXXr1ti2bVt89tlnsXnz5vj000/j008/jc2bN8e2bdtOW9H2deedd140aNCg4BzAr66yZcue9r8WAEBhUsQBAMVCfn5+rF27tuBssa/OGVu9enXk5eUlkuGCCy6InJycqFixYpQvXz4qVKhQcJUvXz7KlSsXWVlZUbZs2YIrKysrsrKyIjMzM0qXLh0ZGRmnNdOhQ4fiwIEDkZeXF/v27Yt9+/ZFbm5uwbVv377Ys2dP7Nq1K3bu3Flw7dq1K3bs2BHbtm2L3bt3n9ZMx5OZmRlXXHFFwbl+X53xV7t27UhPT08kAwBAYVLEAQDF2pEjR2LdunWxatWqgjPJvvq5efPmQtnB9X2kp6cXlHKZmZlRsmTJKFGiRKSnp3/jZ8Tff235+fnf+Hn48OHIy8srKN/y8/OL+Ff0TWlpaVGtWrVvnNVXu3btqFu3btSsWbPg1wYAUBwp4gCAc9bf/va3+Pjjj2PdunUF55h9/Uyz3Nzcoo54VipbtuwxZ+7VqFEjatasGZdffnmcf/75RR0RAKBIKOIAAI5j9+7d3zgD7euft2zZEtu2bYtt27bFoUOHijpqIjIyMiInJydycnKiSpUq3zg37+ufL7jggqKOCgBwRlLEAQB8D0ePHo1du3YVvMRg+/bt3zhn7euf9+7d+40z2vbv35/4o6Pp6elRpkyZb5xRl52d/Y0z7b7+uVKlSgUvpShfvnykpaUlmhcAoDhRxAEAFJGjR4/G3/72t9i/f3/BmW4HDhwo+JyXlxeHDx8+5hy4I0eOREREiRIljjk/rmTJkpGZmVlwztxXZ82VLl06ypQpE+eff74yDQCgiCjiAAAAACAB3gMPAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJEARBwAAAAAJUMQBAAAAQAIUcQAAAACQAEUcAAAAACRAEQcAAAAACVDEAQAAAEACFHEAAAAAkABFHAAAAAAkQBEHAAAAAAlQxAEAAABAAhRxAAAAAJAARRwAAAAAJOD/AXe2Yo4uilFiAAAAAElFTkSuQmCC" alt="NonConvexDisc"/></p>
<p>Irregular shape goes here.<br/>
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" alt="NonConvexShape"/></p>
<p>A function's convexity can be defined in terms of the shape of the epigraph of the function, which consists of all points in the domain that lie above the function.</p>
<p>Convexity is central in the theory of optimization because strictly convex functions have a unique global minimum. Vice versa, concave functions have a unique global maximum. This means that even stupid methods like gradient descent have a good chance of eventually getting to the optimal solution. If tuned properly, they can even be guaranteed to get there.</p>
<p>In statistics and ML, we typically care whether the likelihood function is log-concave, since we will work with the log likelihood function and want it to be concave for maximization.</p>
<p>When functions are not convex or concave, we can try to use sub-gradients.</p>
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