"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=\"Gr Liv Area\", y=\"SalePrice\", hue=\"has Porch\", s=15, data=df);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Neighborhoods\n",
"\n",
"The instructors' notes say:\n",
"\n",
"> For instructors who cover nominal variables in their class, I would suggest incorporating the neighborhood variable into their models by converting it to a set of dummy (indicator) variables. I have found that the coefficients for the continuous variables tend to have values with more realistic interpretations when used in conjunction with the neighborhood variable.\n",
"\n",
"Indeed, plotting the price distributions by neighborhood reveals significant differences in the price level."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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BoVWrVmIAdZT551HZlC1Sr9tb2Xvl9tfe/HetrH+nOTApFIpqfXmprsDAQFy9erXSWszHzHVXp37zueZwd/36dZuPqWoNaSJ3Yh9AIh9g7jxvvi15O51Oh2HDhuGVV16BwWAQV6Ew33q05vDhwzhy5Ij4oVlaWorjx4/jyJEjAMrCQd++fTFt2jRkZGRgyJAhAP65HWsv8y2325mfp/yta6BsoELXrl1RUlKCnTt3iv3npGj9MwsPD8err74KAPjqq6/w559/VjjH/BqePXvW6i1WALh06RJ+//13q3PklWf+Ox4/ftzq8dLSUqu3Vp1RVFSES5cuWT1mHvhj7lLQvHlzAP/8TKw5dOgQANi8rSwVcy2HDx+ushbzz6g69ZsHREVHRwMo+/naCo7mrhREnogBkMgHmEdLbtu2zeqEtunp6fjrr7+QnZ0NhUKB3r17Ayiba7CwsLDC+deuXcPTTz+NwYMHY/PmzeI1HnnkEbz66qsQBMHifLlcjgceeAAArE44XRlrkzZfunQJ6enpAP5ZLaW8wYMHAygbPLF9+3bI5XJxwIVURowYgc6dO0MQBKxbt67C8ZYtWyIyMhI3btwQR1ffbuHChRg5ciRefvnlSp8rISEBQNkAB2ujj3/44QeXtDZZe+2PHz+Offv2QS6Xo1evXgDK3l9yuRyHDx/G/v37KzzGaDRi9erVAIAePXpIXmd55jkV161bZ3XC54MHD4o1PvjggwAgvt+3b9+OvLy8Co8pKioSXwtz/VFRUVCpVDAajRYjg80OHTpkM7ATeQIGQCIf0K1bN3Ts2BHXrl1DUlISLl68KB7bs2cPFi5cCADiihexsbG4//77cfXqVbzwwgsWrUsFBQV46aWXcOXKFTRq1AiPPPIIgLIP0aCgIGRnZ2P27NkWtxDz8vKwfPlyABBDg72++uorrF69WgyVFy5cwNixY1FcXIyuXbta7YOnVqsRGBiI9PR0nDx5Et26dUN4eHi1nrcqMpkMM2fOhL+/f4XAaz5u7u84e/Zsi6lpDAYDPv30U2zcuBEAbA4SMevQoQN69OiB69evY+zYsRYthrt27cLs2bOl+CtV8P7772Pr1q3i9qlTp5CUlASTyYRBgwaJrXl33XWXGLrHjx9vEQKvXr2KlJQUHD58GA0aNMCzzz7rklrNRowYgbCwMBw/fhzJyckWI4QPHDiApKQkCIKAhx56SBzY0aVLF8TGxqK0tBQvvviiRctdQUEBxowZg4KCAkRFReFf//qXeCwpKQkA8M4771i8Tjk5OXjllVdc+vckchb7ABL5AJlMhnfffRdPP/00srKy0KdPH7Rq1QrXrl0TlzYbNmyY+CEOlLVOPfPMMzhw4AD69euHli1bQi6XIycnB7du3UJwcDA++eQTsX9hUFAQ5s2bh7Fjx+KLL77Ahg0b0LRpU/H2pMFgwD333IPnnnuuWrX37dsX06dPx7Jly6BUKnH8+HHcunULzZs3x4IFC6w+JigoCH379hVvNz/66KOOvGxVatGiBV588UUsXrzY6vFhw4bhxIkTWLlyJV555RXMmTMH4eHhOHv2rBhMxowZg759+1b5XLNnz8aIESPwxx9/ICEhASqVCkVFRcjNzUVMTIz4c7l9BRRHKZVKNGvWDGPGjEFUVBSCg4Nx7NgxmEwm3HvvvZg6darF+a+//jry8vKQlZWF4cOH4+6770ZQUBBOnjyJkpIScf7GO++8U5L6bAkLC8OSJUswevRobN68GRkZGeJKIObuBLGxsRWm8Vm4cCFGjRqF48ePY8CAAWjZsiUUCgVOnDgBg8GAyMhILFmyxGJwiVqtxqhRo7BixQqMGTMGTZs2RWBgII4fP46QkBDce++9VrsHEHkCtgAS+YjIyEhs3LgRY8aMQbNmzZCdnQ2dTofOnTtjwYIFmDVrlsX54eHhWLduHVJSUnDPPfcgLy8POTk5aNy4MYYPH45vv/22wrQZffv2xZdffgm1Wo2goCCcOHECBQUFaNu2LSZOnIjVq1dXOjrTmoULF2LcuHFQKBQ4fvw4wsPD8dxzz2H9+vWVtuqZ+/w5svRbdbzwwgs2p9cBgMmTJ2P58uWIj4+HyWQS+8/16NEDS5cuxbhx4+x6nvDwcGzcuBH/+c9/0LhxYxw/fhwlJSV4+umnkZqaKp5na0qS6lIoFFi+fDmefvpplJSUIDs7G82bN8err76KL774osLPMTAwECtWrMCbb76Jzp0749KlS8jOzkZkZCSee+45fPfdd07NwVgd9913H77//ns89dRTaNKkCU6cOIHLly/j/vvvx+zZs7Fy5coKI3QbNWqEtWvXIiUlBW3btkVeXh5yc3PRokULjB8/Hl9//bXVQUQTJ07EkiVL0KVLF+j1euTn5yM+Ph5r1661On8nkaeQCdbuXRAR1XIbN27E5MmTMWjQIMybN8/d5bjUzZs3xQmYd+zYIfntbiLyPmwBJCKvZO5f99hjj7m5Eudt374diYmJeOONN6weN6/IERYWxvBHRHZhACQir3Ho0CGcPXsW7777Lvbu3QuVSoXY2Fh3l+U08y3JNWvWVFjn+MCBA5gxYwYA4IknnnBHeURUC/EWMBF5je7du4vTpMjlcqxcudIrAiAALF26FIsWLQJQ1l8tPDwcer1enLakV69e+OCDDxxa9YOIfA8DIBF5jXHjxuHnn39GZGQkXnnlFZcO/nCHvXv34vPPP8fRo0dRUFCA+vXro0WLFhgyZAgGDx7s1DrHRORbGACJiIiIfAznAbQiNjYWkZGR7i6DiIiIqErmOTirgwHQCvN8aURERESebujQodV+DDuMEBEREfkYBkAiIiIiH8MASERERORjGACJiIiIfAwDIBEREZGPYQAkIiIi8jEMgEREREQ+hgGQiIiIyMcwABIRERH5GAZAIiIiIh/DAEhERETkYxgAiYiIiHwMAyARERGRj2EAJCIiIvIxDIBERGQ3nU6H5ORkFBYWursUInICAyAREdlNq9Xi4MGDSE1NdXcpROQEBkAiIrKLTqdDWloaBEFAWloaWwGJajEGQCIisotWq4XJZAIAmEwmtgIS1WIMgEREZJfMzEwYDAYAgMFgQGZmppsrIiJHMQASEZFd4uPjoVAoAAAKhQLx8fFuroiIHMUASEREdtFoNBa3gEeOHOnmiojIUQyARERERD6GAZCIiOyi1Wohk8kAADKZjINAiGoxBkAiIrJLZmYmjEYjAMBoNHIQCFEtxgBIRER24SAQIu/BAEhERHbRaDSQy8s+NuRyOQeBENViDIBERGQXpVIJtVoNmUwGtVqNsLAwd5dERA5SuLsAIiKqPTQaDXJzc9n6R1TLMQASEZHdlEolFixY4O4yiMhJvAVMRERE5GMYAImIiIh8DAMgERERkY9hACQiIiLyMQyARERERD6GAZCIiIjIxzAAEhEREfkYBkAiIiIiH8MASERERORjGACJiIiIfAwDIBEREZGPYQAkIiIi8jEMgEREREQ+hgGQiIiIyMcwABIRERH5GIW7nnjjxo34+uuvAQAlJSU4cuQIVq1ahVmzZsHPzw89evTA2LFjYTKZ8MYbb+DYsWMICAjAzJkz0axZM+zfv9+pc4mIiIh8ldsC4NChQzF06FAAwIwZM/DYY49h+vTpWLx4MaKiovD888/j8OHDOHv2LEpLS7FmzRrs378fc+fOxbJly5w+t23btu76qxMRERG5ldtvAf/11184efIkBgwYgNLSUjRt2hQymQw9evTA7t27sW/fPvTs2RMA0KlTJxw8eBBFRUVOn0tERETkq9weAD/66COMGTMGRUVFCA4OFvcHBQXh2rVrFfb7+flJci4RERGRr3LbLWAAuHr1Kk6dOoUHHngARUVFKC4uFo8VFxcjJCQEN2/etNhvMpkQHBzs9LlEREREvsqtLYB79+5Ft27dAADBwcHw9/fH6dOnIQgCdu7ciS5duqBz587YsWMHAGD//v1QqVSSnEtERETkq9zaAnjq1Cncdddd4vaMGTOQnJwMo9GIHj16oGPHjmjfvj127dqFJ554AoIgYPbs2ZKcS0REROSrZIIgCO4uwtMMHToUGzdudHcZRERERFVyJLe4fRAIEREREdUsBkAiIiIiH8MASERERORjGACJiIiIfAwDIBEREZGPYQAkIiIi8jEMgEREREQ+hgGQiIiIyMcwABIRERH5GAZAIiIiIh/DAEhERETkYxgAiYiIiHwMAyARERGRj2EAJCIiIvIxDIBEREREPoYBkIiIiMjHMAASERER+RgGQCIiIiIfwwBIRERE5GMYAImIiIh8DAMgERERkY9hACQiIiLyMQyARERERD6GAZCIiIjIxzAAEhEREfkYBkAiIiIiH8MASERERORjGACJiIiIfAwDIBEREZGPYQAkIiIi8jEMgEREREQ+hgGQiIjsptPpkJycjMLCQneXQkROYAAkIiK7abVaHDx4EKmpqe4uhYicwABIRER20el0SEtLgyAISEtLYysgUS3GAEhERHbRarUwmUwAAJPJxFZAolqMAZCIiOySmZkJg8EAADAYDMjMzHRzRUTkKAZAIiKyS3x8PBQKBQBAoVAgPj7ezRVVxEEqRPZhACQiIrtoNBrI5WUfG3K5HCNHjnRzRRVxkAqRfRgAiYjILkqlEmq1GjKZDGq1GmFhYe4uyYJOp8OWLVs4SIXIDgyARERkN41Gg3bt2nls65+5j+KtW7fYCkhUCQZAIiKym1KpxIIFCzyu9Q8AMjIyIAgCAEAQBGRkZLi5IiLPxQBIRERe4fZQ6okhlchTMAASEZFXOHfuXKXbRPQPBkAiIvIK5hHKtraJ6B/810FERF6hd+/eFtt9+vRxTyFEtYDCnU/+0UcfITMzE7du3cKIESPQtWtXTJo0CTKZDK1atcL06dMhl8uxZMkSbNu2DQqFAlOmTEGHDh2Qm5vr9LlEROQ9Ro0ahczMTJhMJsjlcowaNcrdJRF5LLeloKysLPz555/46quvsGrVKpw/fx5z5szBhAkToNVqxRFchw4dwp49e7Bu3Tq88847mDFjBgA4fS4REXkXpVIprk6SkJDAQSBElXBbANy5cydUKhXGjBmDF198Eb1798ahQ4fQtWtXAECvXr2we/du7Nu3Dz169IBMJkNERASMRiMKCwudPpeIiLzPqFGj0L59e7b+EVXBbbeA9Xo98vPz8eGHH+Ls2bMYPXo0BEGATCYDAAQFBeHatWsoKipCw4YNxceZ9zt7LhEReR/zPIVEVDm3BcCGDRsiOjoaAQEBiI6ORp06dXD+/HnxeHFxMUJCQhAcHIzi4mKL/fXr17fow+fIuURERES+ym23gO+77z788ssvEAQBBQUFuHHjBrp164asrCwAwI4dO9ClSxd07twZO3fuhMlkQn5+PkwmE8LCwtC2bVunziUiIiLyVW5rAezTpw/27t2LYcOGQRAETJs2DXfddRdef/11vPPOO4iOjka/fv3g5+eHLl26YPjw4TCZTJg2bRoAYOLEiU6dS0REROSrZIJ54UQSDR06FBs3bnR3GURERCSh9PR0pKWliduFhYUA/lk2UK1WIzEx0S21OcOR3MLJ8IiIyG46nQ7JycniB6en8fT6yLPo9Xro9Xp3l+EWbp0ImoiIahetVouDBw8iNTUVSUlJ7i6nAk+vj9wrMTHRooUvJSUFADB//nx3leQ2bAEkIiK76HQ6pKWlQRAEpKWleVwrm6fXR+RJGACJiMguWq0WJpMJAGAymZCamurmiix5en1EnoQBkIiI7JKZmQmDwQAAMBgMyMzMdHNFljy9PiJPwgBIRER2iY+Ph0JR1nVcoVCI6+56Ck+vj8iTMAASEZFdNBqNuLKSXC7HyJEj3VyRJU+vj8iTMAASEZFdlEol1Go1ZDIZ1Gq1OHeap/D0+og8CaeBISIiu2k0GuTm5nps65qn10fkKRgAiYjIbkqlEgsWLHB3GTZ5en1EnoK3gImIiIh8DAMgERERkY9hACQiIiLyMQyARERERD6GAZCIiIjIxzAAEhEREfkYBkAiIiIiH8MASERERORjOBE0ERHVWunp6UhLSxO3CwsLAcBiGTi1Wo3ExMQar43Ik7EFkIiIvIZer4der3d3GUSQ1mNTAAAgAElEQVQejy2ARERUayUmJlq07qWkpAAA5s+f766SiGoFtgASERER+RgGQCIiIiIfwwBIRERE5GMYAImIiIh8DAMgERERkY9hACQiIiLyMQyARERERD6GAZCIiIjIxzAAEhEREfkYBkAiIiIiH8MASERERORjGACJiIiIfAwDIBEREZGPYQAkIiIi8jEMgEREREQ+hgGQiIiIyMcwABIRERH5GAZAIiIiIh/DAEhERETkYxgAiYiIiHwMAyARERGRj2EAJCIiIvIxDIBEREREPoYBkIiIiMjHKNz55EOGDEFwcDAA4K677sLw4cMxa9Ys+Pn5oUePHhg7dixMJhPeeOMNHDt2DAEBAZg5cyaaNWuG/fv3O3UuERERka9yWwAsKSmBIAhYtWqVuG/QoEFYvHgxoqKi8Pzzz+Pw4cM4e/YsSktLsWbNGuzfvx9z587FsmXLMH36dKfObdu2rbv+6kRERERu5bYAePToUdy4cQOjRo2CwWBAUlISSktL0bRpUwBAjx49sHv3bly8eBE9e/YEAHTq1AkHDx5EUVGR0+cyABIREZGvclsArFu3Lp555hn861//wt9//43nnnsOISEh4vGgoCCcOXMGRUVF4m1iAPDz86uwz5FziYiIiHyV2wJg8+bN0axZM8hkMjRv3hz169fH5cuXxePFxcUICQnBzZs3UVxcLO43mUwIDg622OfIuURERES+ym2jgNevX4+5c+cCAAoKCnDjxg0EBgbi9OnTEAQBO3fuRJcuXdC5c2fs2LEDALB//36oVCoEBwfD39/fqXOJiIiIfJXbWgCHDRuGyZMnY8SIEZDJZJg9ezbkcjmSk5NhNBrRo0cPdOzYEe3bt8euXbvwxBNPQBAEzJ49GwAwY8YMp84lIiIi8lVuC4ABAQFYuHBhhf1r16612JbL5XjzzTcrnNepUyenziUiIiLyVZwImoiIiMjHMAASERER+RgGQCIiIiIfwwBIRERE5GMYAImIiIh8DAMgeQWdTofk5GQUFha6uxQiIpv4u4o8BQMgeQWtVouDBw8iNTXV3aUQEdnE31XkKRgAqdbT6XRIS0uDIAhIS0vjN2si8kj8XUWehAGQaj2tVguTyQSgbP1nfrMmIk/E31XkSRgAqdbLzMyEwWAAABgMBmRmZrq5IiKiivi7ynnsQymdagfAY8eO4aOPPsL06dORnZ2Nc+fOYfv27a6ojcgu8fHxUCjKVjVUKBSIj493c0VERBXxd5Xz2IdSOtUKgG+99RYGDx6Md999F2vXrsWFCxdw4MABvPDCC3jxxRdRUlLiqjqJbNJoNJDLy97KcrkcI0eOdHNFREQV8XeVc9iHUloKe0/84osvkJqaihdeeAEJCQl4/PHHAQDdunXD008/jZUrV+KTTz7B2LFjXVYskTVKpRJqtRqbNm2CWq1GWFiYu0si8hrp6elIS0sTt80fuuX/nanVaiQmJtZ4bbUNf1c5x1ofyqSkJDdXVXvZ3QK4evVqPPTQQ3j55ZcRFRUl7g8JCcGkSZPw6KOP4ocffnBJkURV0Wg0aNeuHb9RE7mYXq+HXq93dxm1Fn9XOY59KKVldwvgmTNn8NRTT9k83qVLF2zZskWSooiqS6lUYsGCBe4ug8jrJCYmWrTupaSkAADmz5/vrpJqNf6uclx8fDx++uknGAwG9qGUgN0tgKGhoTh//rzN4ydOnECDBg0kKYqIiIioPPahlJbdATAxMRFarRYnT54U98lkMgDA9u3bsWbNGvTp00f6ComIiMjnmftQymQy9qGUgN23gMePH489e/Zg6NChaNWqFWQyGZYsWYK3334bR48eRWRkJMaPH+/KWomIiMiHaTQa5ObmsvVPAna3AIaEhGDt2rV47rnnUFpaijp16uB///sfbty4gf/7v//Dhg0bmMaJiIjIZcx9KJk3nGd3CyAA1KtXD0lJSRbDrnU6HcLCwsTbwURERETk2ao1EfSqVavQs2dPnDlzRtw3f/58dO/eHd98843kxRERERGR9OwOgOvWrcOsWbPQrFkzcSkbAHj44YfRpk0bTJ482WKyUCIiIiLyTHYHwC+++AIJCQn48ssv0aRJE3F/r169sGLFCsTFxeGjjz5ySZFEREREJB27A+CZM2cQFxdn83ifPn2Qk5MjSVFERERE5DrVmgj62LFjNo+fOnUKwcHBkhRFRERERK5TrYmg16xZgx9//LHCsa1bt0Kr1XIxcCIiIqJawO5pYMaNG4esrCy8+uqrmDVrFqKioiCTyXDmzBnodDq0atUKEyZMcGWtRERERCQBuwNgcHAw1q9fj3Xr1mH79u3Iy8uD0WhETEwMevXqhSeeeAJ16tRxZa1EREREJIFqTQTt7+8PjUYDjUbjqnqIiIiIyMVsBsD8/HyEhYWhbt264rY9IiIipKmMiIiIiFzCZgBMSEjAvHnz8MgjjwAA4uPj7Vru7ciRI9JVR0RERESSsxkAx4wZg5iYGHF77NixNVIQEREREbmWzQB4e+Dr1KkTOnXqxLn+yCPpdDrMmTMHU6ZMQVhYmLvLISIi8mh2zwP46quvcqk38lharRYHDx5Eamqqu0shIiIX0el0SE5ORmFhobtLqfXsDoCCIKBx48aurIXIITqdDmlpaRAEAWlpafzFQETkpfhlXzp2TwMzYcIEfPjhh2jUqBG6dOkCpVJp16AQIlfTarUwmUwAAJPJhNTUVCQlJbm5KiIikpJOp8OWLVvEL/sjR450a5ef9PR0pKWlidvmxofyNanVao9dJc3uALhq1SpcvXoVL7/8ss1zZDIZDh8+LElhRPbKzMyEwWAAABgMBmRmZjIAEhF5Ga1WK/6uv3Xrlsd92dfr9QBQa/qh2x0AO3bsiE6dOrmyFiKHxMfH46effoLBYIBCoUB8fLy7S6qAg1SIiJyTkZEBQRAAlHVLy8jIcGsATExMtGjdS0lJAQDMnz/fXSVVi90BcO7cua6sg8hhGo1GbIaXy+UYOXKkmyuqqHy/FU/6xkpEVFs0btwYubm5FtvkuCoHgRw4cAArV67E8uXL8dtvv9VETUTVolQqoVarIZPJoFarPa6FjYNUiIicd+HChUq3qXpstgCWlpZiwoQJ+Pnnn8UmV5lMhnbt2mHp0qVo1KhRjRVJVBWNRoPc3FyPbf3jIBUiIuckJCRg06ZNEAQBMpkMCQkJ7i6pVrPZAvjRRx8hMzMTDz30EBYvXowlS5ZAo9HgyJEjmDp1ak3WSFQlpVKJBQsWeFzrH2B9kAoREVWPRqOBQlHWbqVQKDzyC39tYrMF8Mcff8TAgQOxYMECcV/fvn0RGhqKpUuX4urVqwgJCamRIolqs9owSIWIyNMplUrExcVh69atiIuL88gv/LWJzRbA/Px8xMbGVtjft29fmEwm/P33366si8hraDQayOVl/9Q8dZAKEVFtwnmInWczAJaUlKBu3boV9ptH3Vy/ft11VRF5EU8fpEJEVBvodDrs2LEDALB9+3YOqHOS3UvBmZlTt3lgCBFVTaPRoF27dmz9IyJykLUBdeS4agdAKel0OsTFxSE7Oxu5ubkYMWIENBoNpk+fLv6QlyxZgmHDhuGJJ57AgQMHAECSc4lqkicPUiEiqg04oE5alU4E/fvvv8NoNFrsKy4uBgDs2rULBQUFFR4zePBgu5741q1bmDZtmnibec6cOZgwYQJiY2Mxbdo0ZGRkICIiAnv27MG6detw7tw5JCUlYcOGDU6f66nr8hEREZF1HFAnrUoD4Nq1a7F27VqLfeZbv59++qlFJ0zzvDz2BsC3334bTzzxBD7++GMAwKFDh9C1a1cAQK9evbBr1y40b94cPXr0gEwmQ0REBIxGIwoLC50+lwHQ+3CpNSIi71YbVn2qTWwGwDlz5rjsSTdu3IiwsDD07NlTDIDmAAkAQUFBuHbtGoqKitCwYUPxceb9zp5L3kfqpdYYKImIPIt5QN2mTZs4oE4CNgPgkCFDXPakGzZsgEwmw6+//oojR45g4sSJFqN5iouLERISguDgYPGWs3l//fr1xSk1HD2XvMvtS62NHDnS6V8MXLuXiMjzePKqT7VNpbeAXaX8yJ0nn3wSb7zxBubPn4+srCzExsZix44deOCBB9C0aVPMnz8fzzzzDM6fPw+TyYSwsDC0bdvWqXPJu0i91JorAiURETnPPKDOXsuWLUNOTo7N49nZ2QCAlJQUq8ejo6MxevTo6hVZS7glAFozceJEvP7663jnnXcQHR2Nfv36wc/PD126dMHw4cNhMpkwbdo0Sc4l72JtZJgzAZBr9xIReYecnBycPHwcTetHWD0eIgQCAErPFFU4dvpavktrcze3B8BVq1aJ///ll19WOJ6UlFThw7d58+ZOn0veIz4+Hps3b4bRaISfn5/TI8OkDpREROQ+TetHYErsC9V+3Oysj1xQjedw6zyARFLQaDTi6HRBEJzuGxIfH2+x4DinGiAiIm/DAEh0G41GI44c51QDRETkjap9C7iwsBC7d+9Gfn4+Hn74YQQGBkKv16NFixauqI+oSlqtFnK5HCaTCXK53Ok+e0qlEhEREcjNzUWTJk04AISIiFwuPT1dnOcQgDg7SvnPILVaLdlcxtVqAVyxYgX69OmD5ORkvPvuuzhz5gz++OMPDBw4EDNmzOD6wOQWUi8PpNPpkJ9f1vk3Pz/fIxcc1+l0SE5O9sjaiIjIeXq9Hnq93mXXt7sF8Pvvv8e8efMwYMAAqNVqjB8/HgBwzz33IDExEatXr0bz5s3x1FNPuaxYImukXh5Iq9WKSyAajUaPHAXMeQqJiLxLYmKiReueeWqa+fPnu+T57A6AK1aswIMPPoiFCxdaJNImTZrg/fffx4svvoh169YxAFKNk3p5oMzMTItpYDxtFDDnKSRf5uy8boB3z+1GZC+7bwFnZ2dX2rLSp08fnDlzRpKiiKrDvDyQTCaTZHmg++67r9Jtd7M2TyGRr8jJycGBoydw6OJ1q3+uK4JwXRFk8/iBoycqDZBEvsLuFsCq1tHNz89HYGCgJEURVZeUywPd/uFw6tQpp68pJc5TSL7OTxmJ4Ecce88Xfb9Y4mqIaie7WwB79uwJrVYLnU5X4djRo0eRmpqK7t27S1ockb3MywNJcSs0Ly/PYvvs2bNOX1NKnKeQiIicZXcL4Kuvvophw4ZhwIABuP/++yGTybBmzRqkpqZi27ZtCA4OFgeGENVmzZo1Q25ursW2J5G6zyMRkaeq6alRfIndLYDh4eHYsGEDevfujd9++w2CIOCnn37Crl27kJCQgHXr1iEqKsqVtRLViNdee81ie9KkSW6qxDqp+zwSEdUWrp4axZdUayLoxo0bY+7cuRAEAXq9HkajEWFhYfDz83NVfUQ1rmXLlmIrYLNmzRAdHe3ukiqQss8jEZGnqumpUXxJtZeCu3HjBmQyGcLCwqBQKLB69WqsXr0aly9fdkV9RHaRemLk1157DYGBgR7X+mcmZZ9HIiLyPXa3AF69ehUvv/wyrl69inXr1qGoqAiPPfYYzp07B0EQ8MEHH0Cr1fI2MLmF1BMjt2zZEl9//bUElREREXkeu1sA33vvPWRlZaFnz54AgPXr1yM/Px8pKSn44osvIJfL8d5777msUCJbbp8YmcujERERVc7uAJiZmYl///vfGDduHABg69atUCqVGDVqFLp27YqRI0di9+7dLiuUyBZOjExERFQ9dt8C1ul0aNWqFQDg2rVr2L9/Px5++GHxeGhoKG7cuCF9hURVkGJiZE41QEREvqRa08CYl3rbunUrjEYjevfuLR7/448/0KRJE8kLJKqKKyZG5lQDRETkzexuAezTpw8+//xzFBUVYdOmTWjQoAHi4+NRUFCATz75BN9++y1eeuklV9ZKZJUUEyNzqgEiIvIldrcApqSkYMCAAVi/fj1CQkLw7rvvom7duigoKEBqaioeeeQRPP/8866slcgqToxMRERUPXa3AAYEBGDmzJmYOXOmxf7WrVtj+/btaNy4seTFEdmLEyMTWafT6TBnzhxMmTKFX46ISFStlUCsCQgIYPgjtzNPjExElqo7R+ayZcuQk5Nj83h2djaAf7pJWBMdHY3Ro0dXv1giqjF2B8CEhAS7zsvIyHC4GCIiks7tc2SOHDmyylbAnJwcHDh6DDJlI6vHBUUAAOCvi9bn2xR0F50rmohqhN0BMCIiosI+k8mES5cuITc3F3fffTcefPBBSYsjIiLHWZsj055WQJmyEeoMfNyh5yz5Ya1DjyOimmV3AFy1apXNYwcPHsSzzz6Lrl27SlIUERE5T4o5MonIO9k9Crgy7dq1w7///W988MEHUlyOiIgk4Io5MonIO0gSAAHgjjvuwN9//y3V5YiIyEkajQZyedmveUfnyCQi7yRJALx48SK++uorq/0EiWqCTqdDcnKyuIQbEXGOTCKyzelRwKWlpSgsLITRaMT06dMlK4yoOqo71QWRr+AcmURkjVOjgAHAz88PsbGxGDhwoMXawEQ1xZGpLoh8BefIJCJrJBkFTOROjk51QURE5KuqvRLI5cuXsXv3buTl5cHf3x8RERHo3r07goODXVEfUZU41YX7paenIy0tTdw298Us3xKrVquRmJhY47UReRIuzUeeoloBUKvVYv78+bh58yYEQRD316lTB6+99hr7mJBNrgwI8fHx+Omnn2AwGDjVhYfQ6/UAwA84otuwvzJ5CrsD4NatW/Hmm2+ibdu2ePbZZxEdHQ1BEJCTk4PPPvsMM2fOREREBPr06ePKeslLSBkQNBqNGC49daoLqb/1e1orQmJiokV4N68TO3/+fHeVRORx2F+ZPIndAfCTTz5B27ZtsXr1agQEBIj727RpA7VajeHDh+PTTz9lACSrXBkQzFNdbNq0yWOnupD6Wz9bEYhqH/ZXJk9i9zyAR48exaBBgyzCn5m/vz8GDRqEI0eOSFockS3p6elISUkR/+zbtw/+/v7Izs4W96Wnp7u7TAAVv/U7O1eh1Ncjopphrb8ykbvY3QIYEBCAGzdu2DxeXFwMPz8/SYoiqq6rV6/C398f/v7+7i6lAqm/9bMVgah28oX+yhwQVnvYHQDvv/9+pKamYujQoWjcuLHFsYKCAmi1Wtx3332SF0hkTW3qcyb1KGWOeiaqnWpDf2WpuXtAmF6vx6VrFzE766NqPzb3Wj7u0DdyQVWewe4AOGHCBAwfPhz9+/fH4MGDcffddwMAcnJy8N1338FoNGL8+PGuqpOo1pL6W78vtCIQ2aLX62HUXUTR94sderxRdxZ6hXs+1GtDf2Vn1aYv577O7gCoUqnw+eefY+bMmUhNTbU41q5dO0ydOhVt2rSRvECi2k7qb/0ajQZbtmwBAMhkMp9oRSDyFlyar2aFhoYiqMgfU2JfqPZjZ2d9hIBQ753juFrzAHbo0AFr166FTqdDXl4eBEFAZGQk7rjjDlfVR1TrKZVK9OrVC1u3bkVcXJzT3/qVSiUiIiKQm5uLiIgIr2xFILIlNDQU+YY6CH7EsW4PRd8vRmhooMRV2Y9L85GnsHsUcHlKpRIdOnRAx44dGf6IqqH8BOqO0ul0yM/PBwCcO3eOo4CJXEin0yE5OZn/zsjr2GwBnDx5crUvJpPJMHv2bKcKIvI2Op0OO3bsAADs2LEDzzzzjFOtdlqtVgySHAVM5Fqcc5O8lc0A+PXXX1vdL5PJbLZiMAASVST1tC0cBUzV4WmrxtQmXLmDvJnNAJiRkVFh35UrVzB06FAsWLAA9957r0sLI/IWUgc2TxgFvGzZMuTk5Ng8np2dDeCfEYDWREdHY/To0ZLXVttJHdjYguU4rVYLo9EIADAajXwNyavYDICRkZEV9gUGlnWcVSqVVo9Xh9FoxNSpU3Hq1CnIZDLMmDEDderUwaRJkyCTydCqVStMnz4dcrkcS5YswbZt26BQKDBlyhR06NABubm5Tp9LVBOkDmyeMJdYTk4ODhz9C7jDxq8Q/7IWzwOXbKwOdMngospqPykDG1uwnJOZmWkRANnaTt6kWqOApfTzzz8DAFavXo2srCy8++67EAQBEyZMQGxsLKZNm4aMjAxERERgz549WLduHc6dO4ekpCRs2LABc+bMcepczkJONUXqwOYxc4ndoYB8sNKhh5q+0UlcjHeQOrA50v1Ar9dD0F1AyQ9rHXpOQXcBeoXMocd6mu7du2Pr1q0W20Tewm3NYH379sVbb70FAMjPz0dISAgOHTqErl27AgB69eqF3bt3Y9++fejRowdkMhkiIiJgNBpRWFjo9LlENcUc2GQymWSBTaPRoF27dpxLzMtYC2zO4Nqz0pLJnA+2HFVMnsJtLYAAoFAoMHHiRKSnp+P999/Hrl27xH9gQUFBuHbtGoqKitCwYUPxMeb9giA4dS5RTZJ68lfOJeadPKG/aGhoKM4aBNQZ+LhDz1nyw1qEhoY69FhPc3tjwa5du5CcnOzUNdknkzyF2zvCvf3229iyZQtef/11lJSUiPuLi4sREhKC4OBgFBcXW+yvX7++RR8+R84lqknmwMb+V1SZ+Ph4KBRl38ul6i9q/v3nK2vPSik+Pl5sPJDJZE7/PG6/xc9WQHInmwFw7969Ff78+eefAIBjx45ZPb537167n/ibb77BRx+VLc5cr149yGQytGvXDllZWQDK5kvr0qULOnfujJ07d8JkMiE/Px8mkwlhYWFo27atU+cSEXkaqQObK7of+JL+/fuL054JgoABAwY4dT2pb/ETOcPmLeAnn3zSZn+Ht99+2+YFjxyxMervNmq1GpMnT8bIkSNhMBgwZcoUtGjRAq+//jreeecdREdHo1+/fvDz80OXLl0wfPhwmEwmTJs2DQAwceJEp84lqs04t5t3csUAH64967jNmzeLc9/KZDJs2rSJc3iS17AZAMeMGSNJh1dbAgMDsWjRogr7v/zyywr7kpKSKvwjad68udPnEtVW7Efkvfr374/MzEynW5vM2F/UcZmZmRYtgN4whyc5Tur5T909n6rNAMgPFSLPxLndvNvmzZtx48YNp1ubyHneOIcnOS4nJwcnDx9D05Bwq8dDUAcAUHr2stXjp68WWLneUTRt0Mj69WQBZdfLsz5t1ukrF+2q2xa3jgImouqTemk58hwM957Fa+fwJIc1DQnHlG5POvTY2b+uqni9Bo3w3+5DHbrerN0bHXqcmdtHARNR9XBuN+/FQQKehXN4kjdjACSqZaSeKoQ8hyvCPScedk7//v1Rr149yftksvWP3I0BkKgGSPkhzLndvJcrwn35AUNUfeX7ZBJ5E/YBJKoBUo7aVSqV6NWrF7Zu3Yq4uDi3tCTo9XrgksHxNX0vGaD300tblBeQus8Z+xQ6h68feTO2ABK5mCtn/zdPUUHeQeo+Z+xT6BytVguj0QgAMBqNfP3IqzAAErmY1B/COp0O27dvB1C2so07+naFhoYCdyggH6x06A/uUHjNerFSk7LPGQcMOSczM9MiAPL1I2/CAEjkYlJ/CGu1WvF6t27dYquEl5GyzxkHDDmne/fulW4T1WYMgEQuJvWHcEZGhsXqBBkZGU7XSJ5B6u4CGo3GovWZA4acI8XqWByVTZ6Cg0CIXEzqjv2NGzdGbm6uxTZ5B0+Z5FvQXUTJD2utH7teDACQBQbZfCwaecdAid27d1ts79q1C8nJyU5dk8s4kqdgCyCRi0ndsf/ChQuVblPt5YruAuZWK5lMZld3gejoaHRoHYP2jcKs/gkylCLIUGrzeIfWMYiOjnaqbk8hdeu9KweEEVUXWwCJakD//v2RmZkpScf+hIQEbNq0CYIgQCaTISEhQYIKyRNIvfastUEMVbU6VbWwvHlh+vnz5ztVW20gdeu9p7TwEgEMgHZLT08XfxEAEL+5lW/NUavVSExMrPHayPOV79jv7C98jUYjhgQ/Pz/26/IiUgcOqQOlr5F67V5rLbwMgOQuDIAO0uvLJrHlpKBUFaknk1UqlQgPD0deXh7uvPNOvge9iNSBQ+pA6Qtu/7J/8eJF+Pv7Izs7W2z9dPTLPgM5eRIGQDslJiZa/IP3pdsg5Bypb/vodDrk5+cDAPLz81FYWMgQ6EWk7C7gCavG1HZXr16Fv78//P39nb6WRqPBli1bAJT1yWQgr2jZsmXIycmxeTw7OxvAP5/B1kRHR1fZlYEYAIlcTurbPitWrBCngTGZTFi+fHmlvwypdpGyu0B5XDXGPq78sq9UKhEREYHc3FxEREQwkFuRk5ODk4dPoGlwlNXjIUJ9AEDp6ZtWj58uOuOy2rwNAyCRi0l92+fnn3+usM0A6B10Oh22bNkCQRCwZcsWp7sLlF81Zvv27XjmmWcYOtyofOv9uXPn2HpvQ9PgKEzu4th0O3N+XyBxNd6LAZDIxaTuh3X7ZLRSTE7rkEsGmL7RWT92veyWNwJtzDR1yQDc4ZqyarPyq7wYDAanuwtIfT1yjlartWi958+D3IkBkMjFpO7Y37t3b2zdulXc7tOnj7MlVltV87yZ++m0uKOF9RPuqPoavsjaKi/OBASpr+cpjLo8FH2/2Oox0/WrAAB5YIjNx6JRK5fVVhmOAiZPwgBIVAM0Gg1yc3Ml6fQ9ZMgQiwA4dOhQp69ZXZwrzjWkXuXFG1eNqfrLxzkAQItGd1o/oVErt3354Chg8iQMgES1zObNmy22pR4sQO4j9Sov3rhqTG3+8sFpeag8vV6PS1cuYtbujQ49PvfKRdxhq5uNHbgUHFENKL/+p7MyMjIq3aba68EHH6x0u7puXyWGq8a4l9TLQhI5gy2ARC4m9UTQYWFhyMvLE7eVSqUUZZIHcnaAT/fu3fHDDz+I2z169HC2JHKSlPM8Uu0WGhqKoOsm/Le7Y914Zu3eiIDQUIefnwGQXIKTef5D6omgz58/b7F97tw5p+ojz7Fr1y6L7Z07dyI52bHpMABg8WLLgRKLFvZGekYAACAASURBVC3CypUrHb4eOc9V8zwSVRcDILlETk4Ojh05gPAG1lsw6sjKRiZezv/L6vGCK94zaa3UI//MYdLWNtVeDRs2xI0bNyy2nXH7lwN+WXAvqe8GEDmDAZBcJryBDE/1duwt9sU2g8TVuE98fDw2b94Mo9EIPz8/p0f+BQYGori42GKbvMPtrbu3b1PtJvXdACJnMACST6rJW9QajUbsh2U0Gp0e+Vc+/Fnbptrr9uXanF2+rV69ehYtivXq1XPqeuQczgNInoQBkHxSTk4Ojhw5gDAb/Wf9/v/4+ILzB6weL9Tb/1x6veXJly9fduq2T3BwMIqKiiy2yTtERkZaDPC56667nLoeuwt4Fs4DSJ6EAZB8Vlgo0N/BWTE2V2PmlXnz5llsz507Fx9//LFjTwyILQi2tqn2mjJlCsaMGSNu//e//3XqenfeeafFRNB33mljcmSqEZwHkDwJAyCRi5X/ALa2XV33338/fvnlF4tt8g6ht03p4OwgEG+cCLo2k3pZSKpZer0el65ewOxfVzn0+NyrBbhD7zkDHBkAiVxM6tt6t/ddPHXqlFPXk0J6errYsgFY70OpVquRmJhY47XVJlqtFnK5HCaTCXK53OlBAgkJCRbzAHIiaPeTcllIImcwAJJddDod5syZgylTprjlW2ttnlcwOjraIgA6uw5p+WsBwNmzZ526nivc3pJFtpUPzwcPHrQYJfrjjz/i9OnTDofn/v37WwRATj7sfkqlEgsWLHB3GeSA0NBQBBXLMKXbkw49fvavqxAQ6lyrvpQYAMku5Zcyc8eotZycHBw9cgCNbPzbCfj/gzZ056wP2rh42UWF2eH333+32N67d2+1r1E+JNSpUwclJSXisTp16iAlJcWtLWyJiYls3ZNAw4YNUVhYKG47G6RXr15tsa3VajF16lSnrknkSnq9HpeuXcKc3x0LybnXzuAO/R0SV+WdGACpSp4yeWmjhsBj8Y4tX70h032jHxs3bmzR769x48ZOXS8qKgonT54Ut5s2berU9ci9yodnnU6HkSNHQhAEBAQEYMmSJU79WyvfV9TaNtU8d99NqYqn1+eI09fyMTvrI6vHrpRcAwA0qFPf6uNaQuXS2tyJAZCqxMlLnSNFR/zbW9geffRRlJSUoFmzZliyZInTNZJnUCqVCA0NRWFhIQcJeCl3302pirvrCw0NRdC1epjcxbElEOf8vgABoXXF7aq63FzNLgAANIpqUuFYS6ic7rLjyRgAqUqcvNQ5CQkJ2LRpEwRBgEwmk6QjflRUFHJycjBp0iQJKiRPEh4ejpKSEkkGCUg9AImc4yl3U2zx9PocUVW/b3O/8fnz59dEOR6FAZCqJPVSZr5Go9Fg06ZN4rYUH+yBgYFo166dV3879VX+/v5o0aKFJB+8Us8rSM7x9LspjtRXmwfo+TrHOlSRT9FoNOKSVIIgcPoCB8hkMov/UvXodDokJydbDJCgqkk9ryA5x9rdFE/iSH05OTk4cfgkrueVWv0TJAtBkCzE5vETh09WGiDJddgCaAO/1VgqHwCperRarUUA9LRv/bWBu/sl1VYrVqyw2F6+fHmlv7PItTx9KThH64ts0BTjH5zi0HMu2jXboceR8xgAbcjJycHJw0fQtIH12zAhMj8AQGlegdXjp694T0uFVqu1CID8EK6ezMxMGI1GAIDRaPSIPpS3T9xsblkrf9vRUyZu9sZ+STXl559/rrDNAOg+nr4UnKfXR9JiAKxE0wZhmNpT7dBjZ/6SVvVJtcTWrVsrbLs7wNQmnvCt//YWbb1eb3E79caNG+J+szVr1liERHe1aHt6vylPdnuXA3ZBcC9PXwrO0+sjaTEAUpUUCkWl21Q5T/hWnZOTg4NHD6COstzOkH/+1+///0hNgcXivkuGYly6eAYAUKKrgSJt4Ch0x3Xr1s1i7r/u3bu7sRoCPH8pOE+vj6TDT3KqUlFRUaXbVDlP+VZdRwk0e8SxFqDc793X99MTWlCJpOLpS8F5en0kHQZAqlJQUBCKi4sttql6+K3acRqNBj/++COAslvAfA3tt3v3bovtXbt2uakSz1XTA/5OnjyJlJQULFy4kNM4kVu5JQDeunULU6ZMQV5eHkpLSzF69Gi0bNkSkyZNgkwmQ6tWrTB9+nTI5XIsWbIE27Ztg0KhwJQpU9ChQwfk5uY6fS7Z7/r165VuU9X4rZrcwdx30tY2lXWPOHT0BAKV1pdUNCrKlgg7dbHE6vHrutPVer558+bh+vXrmDt3Lj7++OPqFUskIbcEwO+++w4NGzbE/PnzcfnyZQwePBitW7f+f+zdd0BTV/sH8G8Ie4clMkUQxIGIiqNqFRQVB1r1p8UuR1/fWrFaZx3YWltttW+Ho7VWbK3SuqstogzFheKgDgREikyZSdgrIef3B02KNkgSQEaezz9tvLmXk+Tec59z7jnPwdKlSzF48GAEBwcjOjoaNjY2uHHjBo4ePYrc3FwEBQXh+PHj2LJlS7Pe2x5mNnYkz6Z+oVQw5EWiNDrKaTjDW961u3LlynYzw7u90Dd3QO8A1VbVeXBqq8LvTU1Nla0LnpGRgbS0NOoFJG2mTQLA8ePHY9y4cQDqKyQul4sHDx7A29sbADBy5EhcvXoVTk5OGD58ODgcDmxsbFBXVweBQNDs97aHiq8jpeHgcrmyNCbS1y+aUChEYTFw/LxqPRiFxYCG7j8zXIVCIQRCIDxatfIIhIC2jrDpN5Jma49pdDoKU1NTFBcXy14/mxiavFiff/75U69V6QXsSPcO0r61SQAoHUNWXl6OJUuWYOnSpfjss89krXwDAwOUlZWhvLz8qcz10n+Xrqmq6nvbI2n6jfY47X706NFPpYKhQfhNa2+VtFAoRA1f9ckcNXxAqNk2AS9NAlHO2LFjZecVn89HYGAggPre0927d7fLOkZdSHv/GnutivZ87yDtW5tNAsnNzcW7776LwMBATJ48+amFmCsqKmBsbAxDQ8OnJh9UVFTAyMjoqTF8qry3PWhYSQPte0HqefPm4fz585BIJNDQ0MC8efOa3EcoFKKgmOFAjFilv5lfzMD0/gk4eDweJNVZmO6j2vjN4+clT/V+8Hg81NZkYYKvSodDeLRyvSlUSauuPaTR6ajMzc1lvYC+vr50/rUxR0fHp4I+R0dHpY/Rke4dpH1rkwCwqKgI8+bNQ3BwMIYOHQoA6NWrF+Li4jB48GBcunQJQ4YMgYODA7Zt24b58+cjLy8PEokEZmZmzX4vUY65uTl8fHwQFRVFNxEFNbeSbumZiTweD0XirGalgWmrx4ftJY1OR9W1a1eIRCLMnz+/rYui9latWoV3331X9nrNGtXGHbYmPp+PLVu2YO3atXStdXJtEgB+9913KC0txe7du7F7924AwLp167B582b873//Q/fu3TFu3DhwuVwMHDgQs2bNgkQiQXBwMABg9erV2LBhg8rvJcqbN28e8vPzFer9A+oDDk5VNt4YpdopdiBGDFM1Hq+UlpaGxOR7MGyk/mV/f62ZBffkbi/vPCsRAqA0Os2hpaUFZ2dnupm3Ay4uLrJeQEdHx3Y5AYTW3VYfbRIArl+/HuvXr//Xvx88ePBf/xYUFPSvk9DJyanZ722KUChEUYlA5SXdMkoEsNDXVmnf9ojSmLx4hmaA1wTV9o0Pb9mytDU6/0hnsWrVKqxcubLd9v7RutsvVmZJIT6JPSF3W0lNfco1Ex39Rvd1sTWXu00RlAiaEEJIo56d0CRv+AHNOlWci4sLTp482dbFkIvW3X6xmuoBLv2rfga/pa293O0utubN6kWmALARPB4PBpW1WD/CT6X9N1+OgLYaP8IkhHROlEqmc2kY4CckJMgCQLFYjDNnziAzM5MC/AYyS/Px6bWf5W4rqalfJtVEx7DRfV3wT7aSplaPae0JPhQAEkIIadSzE5qIctpbSqjnMTU1lZUPoGD/WU332PEBAJZ2dnK3u8C0XY37pACQyNWRKq3OSCgUooyv+li+Mj4g1Ho6b9/z8gCK/17dT1P+UBPU8AFYqlYWQsg/2ltKqGfzRs6ZMweMMWhra2Pnzp3tppztQVv32LU0CgCJQtpbpUWU01SrUzquy9nSWf4bLJs+BiHk3zpS3j5zc3PweDwIBAJKuaQGKAAkcnWkSqsz4vF4KBNlNWsWcMPHN52t5UpISxEKhajkFym1pm9DlfxMCDUtWrhUbadLly6oqalROOWSUChEYUkRvr76qUp/L7skA5b6T39/meVZ2HJL/qz/ktpSAICJtvxFHTLLs+CCHiqVRd1QAEgIIYQQAG2fN7LpcXY5AABLByu5213Qg55WKIgCwOfIfE4ewJKaKgCAiY5eo/u62HZptbIRQghpPh6Ph2KxPnoHqJaX78GpreDxdFq4VB0Hj8eDTqUB3ntprUr7f331U+jz/smZS08rXhwKABvRdCukfsyUZSNBnottF2qFEEIIIaRdogCwEdQKIW2tXND4LODa+g5oaMvvgK5fCk7+ExLSxlp6nWdCCFEFBYCk1eSXMByIEcvdVl5dn47EUJfT6L6mNq1WtHZP0Vm7DlaNzNq1olm77VVaWhruJSeBYy5/jBXT5AIA7hfmy9/O72QLPRNC2gQFgKRVNBV88P8OYOxs5AcwpjbqHcCoew90U3koO3oOSo65GTQnjVNpX/Ef51q4NIQQdUQBIGkV6h7AkJZFeSgJIaRlUQBICGl3KA8lIYS0LgoACSGEqLVKfmajiaBFlSUAAC19k0b3hSUlHiYdDwWAhBBC1FbTE67KAABOlo1Mq7ekxMOkY6IA8AWh1A/NV1gMHD8vkbutsrr+v/q6je9r3rWVCkYI6bDa+3hluneQ1kIBoIKenZUo76J73szEtLQ0pCYlwsFE/vqFxn9nQ6l9ki13e2ZJqSrF7jSaamEX//172HeVP6vYvKt6zyomrYfP52PLli1Yu3Ztm0xSoQChc0tLS0NycioszRzlbtfWrL+n8AtEcrcXCjJarWykY6MAUEU8Hk/pfRxMjLFuxGCV/t4nl+NU2q+zaI1WukAIhEfL31b1d6JlvUYSLQuEQBdrhf9Uu9PcBg35R2hoKBISEnDo0CEEBQW98L9fn1cwGRxzc7nbmWZ9NX+/sFD+dj6/1comT1MpfgA6955laeaImf7rVdr36JnNLVwa0llQAKigZ2clko5N0UTLXazl9yh2se5cPYqqNGhIfe9fREQEGGOIiIjAnDlzmuwFFAqFYHyByvn8GF8Aoab2U//GMTeH1qQAlY4n+uOUSvu1lOam+KHGDCGqoQCQqKX2Pu6ntVGDpmWEhoZCIqkflyqRSNqsF7Ajae0UP9SYIUQxFAASQoiKzp8/D7G4frlDsViM8+fPNxkA8ng8ZItrm7USCAU5/6DGjHJozGj79aJ7sykAJIQQFfn4+ODs2bMQi8XQ1NSEj49PWxeJkOdKS0tDSlIqrHkOcrfradRPKinNq5W7PU+Y+a9/yynJxNdXP5X7/tKa+jyKxjry8yjmlGSih61Lk+VWR63d0KMAkBBCVBQYGChrsWtoaGDOnDltXKL2h3qc2h9rngPm+q5Tad/90Z889bqpsdC5f9VnsLC2tZS7vYetS6caT90cL7o3mwJAQloA3eTUk7m5Ofz8/BAWFgY/Pz9aq1iO27dvIys7G9DSlv+GujoAwL3kh/K3i2plE0VI+6Pu46k7MgoACWkBaWlpSEq6B5NGeuw5GvX/fZJ3T+72Erq/dViBgYHIyMig3r/n0dKGhrlqeZMk/LwWLgwhBKAAkJAWY8IDRvqptu+liOdvp1QX7Ze5uTm2b9/eZn+/Pq0MX+V0LozPh1Cz9W4FPB4POWIN6E1+S6X9q37/ETye/PFj7RE9DSAdBQWABABVWh2NsbEx+Hw+RCIRtLS02ro4hJC/paWlISk5FTxz+ZMsNP5euSOvUP4kCyH/35Ms1Bk1flsPBYAEwN8zwxLvwdaEI3e7AYcBACpy7svdnlPCWq1s5N+Dg3fs2IGwsDA4OztT3rlnREZG4ttvv5W9rqmpkaVqaYympiZ0dHRkr995550Oc0OpTysjblYi6NaebSjh56Hq9x/lbmOV5QAAjr5ho/vCsuP0AAIAz9wBY6aotnJH1OmnV+4QCoUo5PNVXtGjkJ8BDS35q8R0RO0pBVJHD04pACQytiYcLBreyEDtJuy+Ir81S1qeKqtPkPbleSuBsMr6dQg5+vLXIWR8AWDZpdXK1tKaXnWnCADgbGkr/w2WJjRLtAUJhUIUCIv+NZtXUbnCDNTpWLRwqRrXkfI8tqfgVBEUABLSwdDqE8/X2jeM5q5lq+gyhM6NBXmWXTpUQESzRJuHx+NBIjJs1lrAPB4NE2kNHSk4lYcCwBdEKBSiqLgUn1yOU2n/jOJSWOjRVFGi2uoTpPUou5YtBUSkLfF4PHBrDJqVB9CYp9qTItK+UABISAdDq0+0rdZey1bdiEQiZGZmQiAQ0FAG0uqaGrfXnsfstTQKAF8QHo8Hg6oKrBsxWKX9P7kcB+1WHF8gFApRWMJUHsuXU8JgqU89lC8CrT5BnvW8NDCsshIAwNHXb3RfWMpfpaE1PHsDfvToEcRiMRYvXgxb2/pxgOp0EyZtq6ON22tJFAB2Es0dl0SaRygUoljYdD6/xhQLAT0dxQLozrj6RHPTEKlzCiLFxxQ2EuRZWrbZmEKRSCQbziAQCGBlZUVpjV6APGFmo5NAyqvq1+411JM/8zpPmAlj6467dm9HH7fXkigA7KSUHZfE4/GgXZndrFnABmrcknrROtvqE2lpabiX/AAwN5D/Bs2/lwsrTP/3Nn5F6xWsA+hoYwob3oB37NiB5ORkMFafRorSGrW+poL9wr/X7rWxlt9gMLamtXs7CwoAX6DMksYngZRU1wAATHR15G7PLCmFi03jx6ZxSW2Lx+OhqiarWSuBKPMooq1Xn2gV5gbgBvRWere6Uw9aoTDkRYiOjpYFf4wxREdHUwDYyjpag4G0HgoAX5CmWkylfz+msbSxk7vdxabpYxD1wefzsWXLFqxdu7ZTPAIm6snKygoZGRlPve7ohEIhhPyifyV0Vnh/fgZ0NF9cnj2ivigAfEGo1UVaUmhoKBISEigHIOnQCgoKnvuaENJ6KAAkpIOhlUBIZ+Hr64uwsDAwxsDhcODr69vWRWo2Ho+HGrFBs5aC41GePfICUADYRpq7hmBzZ00C6j1zsiOjlUBIZxEYGIhz585BJBJBU1Oz00xqammFgoxG1wKurCoGAOjrmTa6r7lVx521S1oPBYDthLK5iNLS0vAoMQEOJvJbikac+lmTNTkpcrdnltDavR0VrQRCOgtzc3OMGzcOYWFhGDduXLvoyW5u47ylNTX2u/jvWbv2VvJn7Zpb0axdIh8FgG2kJXIROZhoY/VL8ieNNOWzq9nN+tttrb1V0i8SrQRCOpP2ntKorRMF0/hx0looACSdQltX0i8SrQRCOpP2ltKIEgUTdUEBYAclFApRVFKjck9eZkkNLJ5Zui3nOUvBldXU5+oy0uHI3Z5TwuBq2/jfa+keO3WupDvjSiCEEEJerDYNAO/evYvt27fj559/RkZGBtasWQMOh4MePXpg48aN0NDQwM6dOxETEwNNTU2sXbsWHh4eLfJe8rSmxojk/R2wWds6y93uaqtcnkJ16rFrDe39sZmyhEIhwK9QLakzvwJCzdZbh5omXBFCOqM2CwD37t2L06dPQ09PDwCwZcsWLF26FIMHD0ZwcDCio6NhY2ODGzdu4OjRo8jNzUVQUBCOHz/e7Pd2hp4jHo8H/crCZo0B1GkQhLX2OBN16LErec5awNVV9f/V1Wt8Xxtrxf9We3ts1pnVL1OXBJjLn2UJzfoG5b3CXPnb+cWtVDLSXgn5mY0mgq6qrF9rV09f/lq7Qn4mrC1p1i5pfW0WADo4OGDHjh1YtWoVAODBgwfw9vYGAIwcORJXr16Fk5MThg8fDg6HAxsbG9TV1UEgEDT7vZ09ECEvXlO9n9JeIhtr+T2oNtbqvdILj8dDlrhE5aXgWr1H2dwUmpNHqbSr+PeYFi0Kad+argvqZ+1aW8qftWttSbN2yYvRZgHguHHjkJ39z/g1aSJQADAwMEBZWRnKy8thavpPq1v67819LyEtjWbqEUIAqgtIx9FuBsM1HJdXUVEBY2NjGBoaoqKi4ql/NzIyavZ7CSGEEELUWbuZBdyrVy/ExcVh8ODBuHTpEoYMGQIHBwds27YN8+fPR15eHiQSCczMzJr93s4is6S20VnAJTX1iaBNdLiN7tvjObN2CSGEENJ5tZsAcPXq1diwYQP+97//oXv37hg3bhy4XC4GDhyIWbNmQSKRIDg4uEXe2xk0NUak7O8xZ1aNzNrtoeSsXUIIIYR0Hm0aANrZ2eHIkSMAACcnJxw8ePBf7wkKCvrXMlct8d6OjsaZEEIIIURV7aYHkJC2pM5LyxFCiJRIJEJmZiYEAgElme/kKAAkRA5KVE2k6pNUF6uezoVfDKGmbouWibw4fD4fW7Zswdq1aztlQPRs4/fRo0cQi8VYvHgxbG3rB4pT47dzogCQEKhHompCiPJCQ0ORkJCAQ4cO/WuIUWcjEokgFosB1Ae+VlZW0NLSauNSkdZCASAhhDxHfZLq6mYlgqYe5Y6Jz+cjIiICjDFERERgzpw5na4XsGHjd8eOHUhOTpblz3V2du70Qa86owCwk6AxbIQQeWhMl+pCQ0MhkUgAABKJpNP3AkZHR4MxBqB+cYbo6OhO/XnVHQWAnRT1OBDSgp43BrCyuv6/+o2M8+MXA5ZdGz10SzfeaExXyzl//rzskahYLMb58+c7dUBkZWWFjIyMp16TzosCwE6CxrCRDo9fgbpTD+Rvq6yt/6++ttz9IH9Z1Rah6DrPzo0FeZZdlcq52ZKNt4ZjugQCAY3pUpKPjw/Onj0LsVgMTU1N+Pj4tHWRWlVBQcFzX5POhQJAQkibUzzI6vbvjZatm9S8tXNutnTj7dkxXdIeQC6XS2O6lBQYGCjrTdXQ0MCcOXPauESty9fXF2FhYbIxgL6+vm1dJNKKKAAkhLQ5SmzeOtTtEWZLMzc3h5+fH8LCwuDn59fpx1AGBgbi3LlzEIlE0NLS6vQBr7rTaOsCEEIIaR0+Pj7gcuvXA+dyuZ3+EWZrCAwMRJ8+fdQiGDI3N8e4cePA4XDUIuBVd9QDSAghSuhIM+4DAwNx5swZAPWzOtUhiGlp5ubm2L59e1sX44UJDAxERkYGnStqgAJAQghpBppxTwjpiCgAJIQQJXSkGfehoaHQ0NCARCKBhoZGp89jR5ovJCQE9+/fR0hICFasWKH0/h2ph1zd0RhAQgjppORNAiGkMXw+X3aOREdHQyAQNPuYPB6PesnbKeoBJISQTkrd8tiR5gkJCXlq5RNVegE7Ug+5uqMeQEII6aQCAwOhoVFfzatDHjvSPDExMU+9vnDhQtsUhLwQ1ANI5KJxHIR0fOqWx04dtGbdLF0HuLHXpHOhAJAoxNjYGHw+X5YglDwfBdCkvaC0Hp1bS46vGz16NKKiop56TTovCgCJXM+O49ixYwfCwsJoKSkV0SBo0lbULY9dZ9eaY+zmzZuH8+fPy2aNz58/v1X+DmkfKAAkTeLz+YiIiABjDBEREZgzZw49SmoCDYQmhHQ05ubm8PHxQVRUFHx8fKie7+QoACRNCg0NfWpmGOUSI4QQxTw7HOTRo0eoqanB0qVLZcNp2tNwkHnz5iE/P596/9QAzQImTaJcYoQQ0jI4HA4kEglyc3PbuihySYcMUO9f50c9gKRJlEuMEEJU03A4CJ/Px2uvvQYAKC0txQcffECBFmkz1ANImkS5xAghpPnkJVompK1QAEiaZG5ujpEjRwIARo4cSS1WQghRASVaJu0JBYBEKRwOp62LQAghHRIlWibtCQWApEl8Ph+XLl0CAFy8eLFFFghXN3w+HytWrKDvjhA19mxiZUq0TNoSBYCkSfLSwBDlhIaGIiEhgb47QtTYtGnTnno9ffr0NioJIRQAEgVQGpjmeTaRNvUCEqKewsPDn3odFhbWRiUhhAJAogAfHx9oatZnDKI0MMqjHlRCCIB/NZ6pMU3aEgWApEmUBqZ5qAeVEAJQY5q0LxQAkiaZm5vDz88PHA4Hfn5+lAZGSVTpE0IAakyT9oUCQKKQwMBA9OnThyosFVClTwgBqDFN2hcKAIlCaH1I1VGlTwiRosY0aS9oLWBCXoDAwEBkZGRQpU+ImpM2pglpaxQAEvICUKVPCCGkPaFHwIQQQgghaoYCQEIIIYQQNUMBICGEEPKC0LrgpL2gAJAQQgh5QWhdcNJeUABICCGEvAC0LjhpT2gWMCGk3YmMjERERITs9V9//QUAWLlyJQDAz88PY8eObZOyEaIqeeuCBwUFtXGpiLqiHkBCSLvH4/HA4/HauhiENAutC07aE+oBJIS0O2PHjqUePtLp+Pj44OzZsxCLxbQuOGlz1ANICCGEvAC0LjhpTygAJIQQQl4AWhectCdq8QhYIpHgww8/xMOHD6GtrY3NmzfD0dGxrYtFCCFEzdC64KS9UIsewKioKNTW1uLw4cNYvnw5tm7d2tZFIoQQooak64JT7x9pa2oRAN6+fRsjRowAAHh6eiIhIaGNS0QIIYQQ0nbUIgAsLy+HoaGh7DWXy5VNxSeEEEIIUTdqEQAaGhqioqJC9loikUBTUy2GPxJCCCGE/ItaBIBeXl64dOkSAODOnTtwdXVt4xIRQgghhLQdtegGGzt2LK5evYrZs2eDMYZPP/20rYtECCGEENJm1CIA1NDQwKZNm9q6GIQQQggh7YJaPAImhBBCCCH/oACQEEIIIUTNUABICCGEEKJmKAAkhBBCCFEzFAASQgghhKgZCgAJIYQQQtQMBYCEEEIIIWqGAkBCCCGEEDWjFomglZWT/cdNmgAAIABJREFUk4NXXnmlrYtBCCGEENKknJwcpffhMMZYK5SFEEIIIYS0U/QImBBCCCFEzVAASAghhBCiZigAJIQQQghRMxQAEkIIIYSoGQoACSGEEELUDAWAhBDSAUkkkrYuAiGtgpKTvBgUAJJ2SXpza6mbXGvcLNtrJVVTU9PWRVBIe/3+XoT79++rvO+6deuQl5cHDQ0NtfgOHz9+3CrHVYcAmjGGW7dutegxW/N7i4qKQm1tLTgcTqv9jbbSWt9bXV2dyvtSANiKGv7gza2on92/vVX8LflZxWIxNDQ0UFBQgN9++w3l5eXNOl5dXZ3sZnnv3j2IRKJmHQ+o/7wcDgclJSXg8/nNPp70mM2VlpaG+Ph4FBYWorq6usXK1BLfGQAEBwdj7dq1AAAOh9Ni57FEIsHRo0cRGRnZIscD/vnMLX2tnTx5EuHh4Srvr6+vj3fffRcFBQXN/g4b7tuSn7OlbnZnz55FSEgIHjx40CLHA4CUlBQAgIZGy97+WvIGL72p19bWNus4d+7cwUcffYSoqKiWKBYkEkmL16VSf/31Fy5cuID09HTZ31JVcnIyCgsLW6RcDX8LVa8R6ffG5/ORn5/fIuWSHpfL5SI/Px+nT59Wen/uhx9++GGLlYbISH9wAKiuroaWllazj1VVVYWqqiro6OjIKn5lW0rSYKi2thZisRiams1fDKaurg5cLhelpaUoLi6GSCSCnp6eysfT0NBARUUF3nvvPbi6usLT01Olz9rweACwePFiGBkZoW/fviqXTYrD4UAgEOCdd95Br169YGNj06zjSb9DgUCAnJwc6OjoQFtbW6ljMMZQWFiIw4cP48CBA+jbty+6dOmicpmk511+fj42bdoEU1NT2NraqnQsxhguXbqEwMBAhISE4K+//sLw4cNVPo+fLeeiRYtQWlqKY8eOQSAQYMiQISofDwDKy8uhp6eH/Px8XLx4Ed26dYOGhkaL9Ezo6upix44dcHd3V+q8kTaMRo4ciYKCAnz11Vfw9fWFoaGhSt+h9PctKysDY6xZdVRD0nOZMSYLdMViMQwNDRU+BmMMV69ehZaWFrhcLuLj42FiYgIrK6tmly02NhafffYZEhIS4OHhAU1NzWYHg9LvsqCgABcvXoSOjg5MTExUOhZjTHbdrVixAjk5OaisrES3bt2UPlbXrl1hY2ODn376CUZGRujevbtKZZKSXq8tWZdK6evrIz4+Ho8fP8bQoUNVvtZqampw//59REZG4v79++jbty+4XK5Kx5L+FgUFBVi/fj28vLxgYGCgdNk4HA6EQiGWLVsGKysrODs7q1Sexo77ySefwNjYGP3791dqfwoAW4FYLAaXy4VEIsGyZctw7Ngx6OnpwdraWqWbuoaGBvLy8hAUFITU1FQcPHgQPj4+0NHRUarib3is1atX49atW4iPj8ewYcNU+ZgA/qns8/LysG7dOqSmpuLWrVvQ0tKCvb29wseRSCQ4ffo04uLioKenh5SUFNy7dw+2trbw9PQEh8OR9bop6tGjRygoKICmpiYuXLiAmJgYzJw5s1lBkfT7FolE2L17N8rLyzF37txmB9LSCn/x4sXQ0dGBoaEhTExMFK64pIG9rq4uTpw4AQBwdnZGly5dlD7npKRBblBQEKZOnYri4mJUVlairKwM5ubmSh0rJSUF+/btA2MMq1evxo4dO/DXX39hxIgRzQoCJRIJVq9eDRcXF6xduxbDhg3DjRs3MGrUKKWPJXXs2DHs378fI0aMwI0bN5CWlia7IUm/5+bg8XjQ1dVFSUkJevXqpdAxpS19gUAAgUAAHx8fMMbw2WefwcfHR+kgsGGQsXLlShQVFaFHjx7Q1dVt1mcD6s9liUSC9957D2VlZbh79y6Sk5Ph4uICAwMDhY6RnZ2NXbt2wcHBAQ4ODqiursaff/4JU1NTlYPAM2fO4NatW5g5cyaOHz+OW7duYdGiRdDQ0JAF16ricDgoLCzEe++9Bzs7O3C5XOjr60NfX1+p40h/w9LSUuzatQsuLi7Q1tZGSkoK6urqVAoCu3XrBlNTUxw4cAA8Hk+lYzSse3///XdcvnwZ06dPh7W1tdLHetaXX34JsVgMZ2dneHl54YcffoBYLEbv3r2VPhZjDJqamigqKsLnn38ODQ0NeHt7w8jISOljSTtuysvLsX37dujo6CAgIECpekr6e9bV1eGLL76ASCTC7NmzFb4OGvPs73H37l2MGTMG9vb2SpWPAsAWxhgDl8tFXV0dvvnmG3Tv3h3e3t4IDw+HgYEBrKyslL4hV1RUYP369Zg/fz5efvll7NmzB4wxDBo0SOEfu7y8HDo6OigrK8PatWsxd+5cuLm54ZtvvoGZmRl69uyp9OfMy8uDsbExqqursWbNGrz55pvo1q0bTp06ha5du6Jbt27Q0dFp8lgSiQRLly5FRUUFnjx5gtGjR8Pd3R0GBgZITU1FYWEh3N3dlTqxN27ciAsXLuDMmTPw8fGR3TT+/PNPmJmZqXQTkd6oa2pqoK2tjYqKCtTW1iIvLw9du3ZVurIHgKtXr8LQ0BB6enpYsWIFAgIC0L9/fxw5cgTnzp2Dra0tLC0tmzyONLDftm0bXnvtNbi7uyM+Ph51dXUoLy+HoaGhwuddw0Dixo0bKCoqwujRo7Fnzx4IhUJkZWVh8ODBCn/GM2fOoEuXLujduzeio6NRWlqKtWvXYufOnXj8+LGsJ1AV69atQ0lJCT7++GMAwE8//YT4+Hi4ubmhqKgI+vr6Sl1vdXV1MDU1RWFhIS5cuAAul4uqqioYGxvDwsICJSUlSvduS3vCqqurZY2PoqIiHDt2DGPGjFHoGuFwOMjPz8eiRYtQVlaG4OBgLFmyBJqamggODsakSZOUuqlwOBxZL/trr70Ge3t7REVFoaCgAFZWVioFgg1vSidOnICJiQmWLl2K77//Hk5OTrCyslLoutu0aRNGjx4NR0dHnDt3DqampnByckJNTQ3u3r0LAwMDpQMPiUSChw8fIjU1FampqZgyZQpEIhEOHTqEKVOmyL4TVTDGIJFIsH37dnTv3h1TpkzBrl27cObMGVRWVircSya97srKyrB+/XoYGhpi+fLl6NatG4RCIW7evAlNTU04ODg8d/9ly5ahrKzsqQDKyckJ+vr6iIqKgpeXF3R1dRX+vNJGPlAfFGloaMDQ0BDx8fHg8XjN6pV9+PAhtm/fjrS0NFRVVaGkpARTpkxBUlIS7O3tlTqnpfVzZWUleDwe+vfvD8YYHj9+DFtbW2hrayvUoJZIJFi/fj0iIiJQVFSEAQMGIC4uDhwOB2ZmZgp3IEjLU11dDS6XCx6Ph0ePHqGmpgZWVlYqB4ENn7hlZWWhX79+4PP5SEtLg6mpKczNzRVuzFAA2IKysrJQVlYGQ0NDHDt2DDt37sQ333yDnj17gsPh4MSJE9DX14eTk1OTP1BsbCxKS0tlAWNCQgJ0dXXx/fffY9u2bcjKyoKmpqZCJ+O3336L7OxsODg4QCwWIzk5GXZ2dvjpp5+wbt06pKSkwMrKSqlHFuHh4fj4448xePBgWFpa4sqVK3B1dcXPP/+M//73v8jNzZX1ejZl48aNsLW1xapVqzBmzBgYGhqCw+GgqqoKurq6uHXrFsrLy+Hm5qZQ2bZs2YLq6mp88cUXGDNmjOyzSVtisbGxsLCwULrikvaYfPzxx7h06RJMTU0hkUhQXl4u+36VuXHGxsbizJkzYIzB3t4e6enpePLkCSIiIvDGG28gLy8PdnZ2Cj0mFIvF+Pjjj5GdnY0lS5age/fuKCwsxI0bN3Ds2DFMnDhRocBF+iiruroaFRUVMDQ0RGJiIp48eYJly5ZBW1sbsbGx8PX1VajXUygUQldXF87OzkhNTUXfvn0RExMjCwI//fRTFBUVYejQoQp9Zw3V1NQgNTUVVlZWMDIyQmhoKP7880/06NEDd+/elT1qHjJkiEJBoLRiraqqQmlpKTQ1NXH8+HE8fPgQZWVl+O6773DlyhXZZ1f0BpqSkoJDhw4hISEB586dg4eHB/r06YPCwkIkJCTIHts0djzGGEQiET755BPMmjULU6dOxeHDhyEUCrF06VJIJBI4ODgodP02DNJKSkpw/fp1uLi4YP/+/ejVqxcuXryIkSNHKt2YaTg2jMPhID09HZcuXUJERATefPNNWFpaIjIyEsOGDXtu3RcWFobRo0fDzMwMhYWFGDFiBE6ePAkejwcnJycIhUKkpqbCy8tLqcd6HA4HLi4u0NHRwdWrV2FlZYW3334b165dw969e3H27FmMHj0a2traCv+uDb9Laa/n9evXcfv2baxatQoGBgZgjKFPnz4Kl7GqqgpXrlyBkZERrl27Bnt7e/To0QNWVlaoqqrCoEGDGv1tpGWxtLTEtm3bwOPx4OrqKiunkZERbt26hZdfflmhRgfwT0+xRCLBBx98gBs3bqCgoACmpqYwMTHB1atXYW5urnIQaGFhgdraWuTk5GDo0KGIiorChQsXoKOjAwsLC4WHSEjLmZubi+DgYAgEAvj7+8PCwgLx8fE4e/YsEhIS4O3t/dzzRiKRYN26dTAxMUFgYCA+/vhj+Pr6wsvLC+np6cjPzweHw0HXrl0VKs+TJ0+wceNGXLx4EXp6erC3t8ft27dRWloKOzs7lYZKST/nkiVLkJ2djbNnz+Lll19GQUEBbty4ARsbG4V/DwoAWwhjDPHx8QgPD0d0dDTefPNNJCUl4dixY3jllVfg4uICDQ0NODo6KtyCePXVVxEZGYkBAwbg4cOHOHXqFP7v//4Ppqam+O677zB79myFxtWUlJQgNjYWtbW1MDExQWJiIo4ePYp58+bBzMwMP/30E6ZNm6bwySiRSODq6orS0lIcPXoUI0aMQF5eHtasWYMPPvgAZmZmCAkJQUBAQJM3JcYYrly5gsWLF0NbWxsikQhcLhdZWVk4efIkRowYAVNTUwwcOFChm1JNTQ1iYmJkPULS8T15eXlISkqCq6srSkpK4OrqCjMzM4U+a3R0NOzt7VFeXo7Fixdj4sSJ6NmzJ7Kzs2FkZARLS0tkZ2dj4MCBClesAGBvbw+BQIArV65AIpHA29sb3t7esLOzg1gsxokTJzBz5sxGH19IK3bpWE5ra2ucOXMGdXV16NevH9zd3eHq6oqpU6cq9Mi24Zi/5cuX49dff4WzszPefPNNZGdnIyUlBQcPHkRwcLBCvZI7d+7E77//jkmTJuHs2bO4ceMGzM3N0b9/f1y+fBkFBQXYvHkzHB0dlWp8SCQSnDlzBkKhENOnT0diYiKOHz+Ox48f46effoKPjw98fX0REBAAb29v8Hg8hY6roaEBgUCAjRs3wt7eHv7+/sjOzoaWlhY+//xz+Pv7w9fXF0ZGRko9arWwsMCAAQMwbtw4JCYm4s8//8TRo0fh4OCA4uLiRsc7SR9LcjgccLlcZGRkICcnB3v37sWuXbtQUlKCgoICTJ8+XaHvTxrglpSUIDExEZaWlhCJRLC2tsakSZNgaWmJCxcuYOzYsUoFgA3H/K1cuRJ//PEHFi1ahN9++w2FhYV47bXX8Omnn2L69OlwcnJq9Djl5eXYuHEjeDweeDweXn31VYwcORKjRo3C77//Dj09PfTq1Qu+vr4K954cOnQIbm5usnogNjYWkZGRkEgkKC4uxuLFi2FgYIBRo0bByclJqeBPeq1s27YNGRkZ0NHRwZIlSyAWi5GZmYlff/0Vb775ZpPnn/Q6ljYmd+3ahddffx3du3fHDz/8ACsrK/Ts2RM9e/Zs9HNLJBL88MMPSExMRK9evTB8+HBs2rQJ5ubmsobzzZs3ceXKFYwZM0bhul76faxcuRKenp4YOnQofvnlF7i4uMDV1RXl5eUK16UN/fbbb7h+/To8PT3Rt29fFBUVwd3dHYGBgXj06BFu376N8PBwzJgxo8mxt9JGR0VFBdasWYNZs2bB1tYWFy9ehImJCYYOHQptbW34+vrCwsLiuceZNWsWPDw8sGzZMlhYWODq1at49OgR8vLy4OHhgZSUFAiFwibHFXI4HFRWVsqetllZWWHv3r3w9/dH7969ce3aNQwfPlyp+4WUWCzGV199hcDAQPj7++O7776Dk5MTAgMDkZeXBy8vL4WvXwoAW4B0zJ+1tTUOHDiAu3fvIiAgALNnz0ZcXBz27t2LmTNnokePHk3eOKWVgYmJCVJTU3Hv3j34+Phg7NixePLkCSorK3Hq1Cls2rSp0UcBDculoaGB7t27w9TUFGfPnoWxsTFMTU1l4yROnz6NDRs2wM7OTqHP2nBQbFRUFMrLyxEVFYU333wT1tbWuHLlCi5cuIANGzY0OeBYeuFGRESguLgYvXv3ll1UJiYm2LdvHyZNmoQ+ffoofEJXV1dj3759cHBwkI3F4XA4yMnJwXfffYcFCxbA09NToQAGAD766CNUVlZi6NChSE1NRVJSEpYtWwYnJydUVlbi8uXLCAoKgqenp9Jd+kVFRdi3bx80NDSQlZUFY2NjGBsbIzMzEwcPHpQFR/I0vAFt3LgRmZmZ4PP5WLBgAUJDQ1FUVIT+/fvD2NhY4e+Ow+GguLgYW7duxbRp0zB27FjZ+Lphw4ahpKQEr7766nNv4g15eXkhJiYG9+/fx6RJkyAUCpGeng5jY2P07t0b8fHxGDhwoMK/hfRzL1q0CAKBAD/99BPKysrw1ltvgc/nw9TUFEZGRujSpQs4HA50dXUV+k0a9uTs27cPmZmZmDFjBuzt7eHq6oqMjAxcuXIFo0aNUqrFLpFIZNfLvn37kJycjCVLlqBfv37gcDiIjIzE9evXMWnSJOjp6f3rJif9fU+fPg09PT1kZWUhNjYWgwcPhpGREXbv3o3XX39d4eBZ2hBavHgxSktLceTIEQwaNAhisRgxMTH4+eef8dFHHylcFzQ8rkQiwYcffghra2ukpqbi2rVr2LZtG548eYL79+9j8uTJzx2XKZFIoKOjAzc3N8TGxiIgIABeXl5Yv349Bg0ahOHDhyM6OhoBAQEwNjZWqFy1tbU4dOgQIiIiMH78eJw5cwbh4eHYtm0brK2tcfnyZRQWFmLq1KlKT+LicDgoKirC6tWrMXbsWFRWVuLXX3+Fra0tDA0NERUVhdWrVys06UI65u/777+Hvb09PDw8sHPnTixcuBA1NTU4ffo0xowZ0+gkHYlEgpUrV6K4uBg2NjZwdXWFs7MzPD098fnnn0MgECA2NhanTp3CRx99pPRErvLycty7dw/jx49HSEgIxo0bBy0tLTg6OuLll19W6voFgOLiYuTn5+OPP/7AgwcP4O7ujsTERJSXl6NPnz4YOnQo+vfvj/Hjx8uu5cZIH7OWl5fj+vXriIqKwujRo7Fjxw64ublh9+7dmDlzJvr3799kIM7hcHD8+HEAwNixY/H999/j0aNHmDt3Lg4ePAg3NzdMnToVvXr1arTjpeF4XoFAgJs3b8Ld3R2HDx/GwoUL8eeff2LkyJFKN7KkamtroaWlhdjYWGRlZeHIkSP4/PPPkZycjPLycsyYMUO54zLSLHV1dYwxxmpra9n+/ftZZmYm27NnD/vkk09YUVERq6urY++++y67e/euwscqKipiaWlprKCggCUmJrKXXnqJ3bp1i6WmprK6ujrG5/MVPlZeXh47ePAge/z4MUtJSWGrVq1i586dYwkJCSwvL4/l5eUp/FnLysoYY4xVVFSw1157jR0+fJiVl5ezQ4cOsf/+97+yclVUVChcPoFAwH744Qe2Y8cOlpiYyCQSCWOMscjISPbqq68yoVCoUNnEYrHs//ft28cOHz7M8vPzZf+WlJTE3n77bVZcXKzYh2X1v+nOnTvZ1q1b2ZYtW1h6ejp799132ZEjRxhjjMXExLCFCxfKvhdFSD93XV0d++abb9ihQ4cYY4ydO3eOrV27lh05coRVVlYqdEw+n8/eeOMNdu7cOXbq1Ck2ZcoUFh0dze7evcsWLlzIiouLZd/n80jfI5FI2KFDh5ifn5/se4+NjWW9e/dm58+fV/gzikSip16PHj2affjhh7Jz8dNPP2XR0dGsqqpK4WMyVv+dLV++nH399deMMcZSU1PZ1q1bGWP110xISAj7+OOP2fXr15U6JmP152FiYiIrLS1lmzdvZjt27GCZmZmMMcaePHmi0DUnT2lpKWOMseTkZBYSEvLUtuLiYtn2hpYvX87279/PJBIJW7BgAZs/fz7bsmULO3nyJNu9ezf78ccf2aJFi1hqaqpSZRGJRGzr1q3s0qVLrKysjE2YMIHt2bOHlZWVsYKCAlZUVKTU8W7evCn7/z179rD3339f9nrBggVsw4YNSh2PMcb++usvtnDhQpacnMwYY+zGjRtswIABLDY2ltXW1ip8HOnvWlFRwbZt28b8/f3Z3LlzZddVdXU1i4iIUPo7bHg9Xb9+ne3Zs4elp6ezt956i4WFhbGwsDDGGFOorA2PdefOHebr68vGjx/PIiIi2IYNG9i9e/cYY4yVlJQ89zgff/wx27Nnj+z1yZMn2c8//8yuXLnCioqK2KFDh9ju3bvZX3/9pfTn3L17N7tz5w7buXMn69mzJ/vtt99YSUkJmz59Ort9+7bCx5NqWE/funWLrVy5ku3Zs4dt3bqVTZgwgcXExCh9zIKCArZw4UKWmZnJQkNDWUREBEtJSWGZmZls4cKFCt1DGtZZ8+bNY8OGDWOrVq2S/VtISAjbvHnzc+tT6W9eXFzMBAIB4/P5bO/evWzo0KEsJiaGpaSksNmzZyt1z5VIJCw6OpoxVn8eBAcHs4KCAnbx4kU2efJktnXrVpaYmMheeeUVlpGRofBxpagHsBkajnvZu3cvvv/+e4hEIixduhTx8fH4/fff8dtvv+Gzzz5rsrcO+Gegt/QxgoWFBXr16oWBAwfivffew82bN+Hn59dkS4b93etQWFiIoKAg6OrqYuPGjZg2bRoGDx6MkJAQWFpawsvLS+HUDL/88gtqa2thb28PLS0tJCYmYsKECbCysoK7uzv++OMPXLt2Db6+vgqNg5O2oL/44gv06NEDfD4fKSkpOHXqFIqKinD06FFs2rRJoZZ5w0dQ169fh6amJuLj41FcXIycnBxUVVXhs88+wxtvvKHwZJe6ujpoamrC0tISX375JSorKzFv3jxoa2sjMjISZ8+exfnz57F+/fomx4NISc8XaYs8KSkJVVVVGD58OJydnWWPNYcNG9bo78IaTNB48uSJbFzQnj17sGjRIhQXF2PIkCGYMGGCQukKpGUqLy+HpqYmtLS0oKWlhfDwcPTp0wfu7u4YNGgQbG1tYWpq2uRnDA0NRVpaGtzd3QEA33//PbS0tFBZWYm0tDRMnToVZWVlGDZsmNIz89atWweJRIINGzYAAPbv3487d+7A2dkZOjo6cHZ2RlFREYYNG6ZQT530OuHz+Xjvvfdw8uRJlJaW4vXXX8e1a9fw8OFDODg4wNbWVumxOhKJBHV1dZg7dy6uXbsGR0dHWU+eNAWErq6u3EdAjo6O+PrrrxEeHo6AgACsWrUKGRkZKCwshK2tLWbNmoXRo0crNJSkYY+EhoYGbt++jT///BPHjx/H//73Pzx+/Bjp6enw9vZWqucgKysLy5Ytg46ODnr37g2hUAhNTU3ZozFNTU0cOXIEiYmJGDNmTKPHWbp0KW7cuIGcnBz07dsXPB4PFRUVOH36NIYNGwYnJycMGjQIVlZWCj9mbFgfxMTEwM/PD4WFhSguLsbMmTMB1A8NcXZ2VurRpfRaqaysBGMMVVVVOHToEM6fP481a9ZALBbj8OHDStWBZWVliImJQf/+/dG7d2/k5uaipqYGly5dwp07d/DKK680OS7x7t27MDc3B5fLxaefforIyEg4OTlh586dGD58OMaMGYNBgwYpNBRC2hsu/XuPHj3CiRMnsGLFChQXFyM5ORknTpzA22+/rVL2COn98p133oGDgwPeeecdMMagr6+PS5cuQSKRYMiQIQqnJBKJRNi1axcePnyI//znP+jbty8KCwvx66+/4vjx4/jggw+a7PGUzrAvLy+HtrY2AgICkJSUhNLSUkyePBlRUVE4ceIElixZ0uj5cujQIRgYGEAsFmPJkiV4+PAhDh48iB49esDT01M29GDt2rVKzcJOS0tDcHAw9PT00K9fP9n4azs7O3Tt2hVZWVmIi4vDypUrVUrxQwFgMzTMiWRjY4Nly5bh999/x507d7B69WrZ2DVFHpmxvwd6r1mzBmPHjsWwYcNw4MABxMXFYdiwYZg2bRomTpz43DEMDctVV1eHTz75BNOmTcPcuXMRGxuLnTt3wsfHB/37939uN7Y8ffv2hb29Pb766ivY2dnh5s2byMrKgrW1NeLi4lBcXIz33ntPoSABgCxQBoBly5bBw8MD9vb2qK2thZGREWbPnq3QCS2t7KWBwQ8//ABPT0/07t1bFshkZWVh2rRpSqUG0dDQQElJCb799lvMnz8f2dnZePz4Mfz8/ODj4wMHBwfMnj1bocBeSpqz6Z133sH48eNlj1QeP36M4uJixMfHY/ny5c99pMLhcFBdXY3q6mpUVlbi4MGDiIqKwpo1a1BXV4eQkBD4+/sr9OhTGgDl5+dj1apVyM7ORlxcHF566SVoaWnh8OHDGDBgAFxdXRX6XSUSCeLj4/HkyRPU1dXhxIkTyMzMxPbt2zF+/Hj8+OOPyM/Px9y5c5V6XM4Yw+3bt5GcnIxu3bqhW7du2LNnD27evAlXV1fExsZi//79KCgowIIFCxSeDCHNrXn8+HGMHDkSwcHB2LVrF2prazFz5kzcvXsXQ4YMUWmgdm1tLbS1tSGRSHDv3j24ubkhLi4OCQkJGDx4sNzHmNJgzcLCAn5+fjh69CiMjIwwbNgw9OnTBw8ePEBubi769eunULDW8Pc9ceIEKisr4ezsjMjISNjY2MAbnBKLAAAgAElEQVTFxQXff/89FixYoPB1C9RfuzweDx4eHvjyyy+hra0NR0dHHDt2DHV1dXj48CHOnDmDd999F5mZmRg0aFCjk3CkEySuXbuGI0eOwMDAAF26dIGenh6cnJygp6eHrl27Klw+6XhY6azcyMhIcLlczJgxA/n5+di3bx8mTJigdF64ht/lypUrcebMGUycOBElJSXIyckBj8fDL7/8grVr1zY58a1hUH7z5k2kpqZi165d6NWrFwwMDDBjxgzMmjULI0aMkE1ek1eekJAQeHl5IS8vD3/88QeSk5NhZmaGPXv2YODAgbIGu6ITAhp2aOzZswceHh7o168fCgoKYGtri6lTp6Jfv36YMGGCwhNbGh67YdqSK1euwN/fX5an0NXVFVZWVvD29m4yfZj0WNJrTEtLCxkZGUhPT8egQYNgZ2cHa2trzJgxo8n6ueHvunr1aqSnp+PixYv46KOPEBkZia1btyI3Nxcffvhho/cjsViMU6dOISkpCVFRURgzZgwWL14MExMTHDt2DEFBQRg0aBAmTZqkVGo0ADAzM0OfPn2wd+9eJCcnIzc3F3l5eSgvL4euri7mzJmDkSNHqpzajAJAFTw7k+7y5ctYtGgR7Ozs4Ovriy+//BI5OTmYNWsWbGxsnpufq2GLi8vlIi0tDWVlZfjjjz/w6quvIjMzE2ZmZujdu/dzAzaJRILffvsNt2/fBpfLhYmJCXg8HnJzcxESEoKtW7eisLAQ4eHhWLhwocI39BUrViAiIgIXL16Er68vDhw4gNzcXEyfPh1xcXFISkpCZGQkli9f3uTF1jAJtba2NpycnHDo0CFYW1vD3d1ddlNxc3NTqLVaWloKPT09WRqZ3r1749VXX8XZs2dhaGiIKVOmYNKkSRg5cqTC49YaVs66uro4efIkrKysMH/+fISGhuLRo0cYMWIE7OzsFA5iGp4vFy5cQGRkJMaPH49u3bph6NChuHr1KkpKSrBgwYJGK5kvvvgCw4YNQ1VVFVatWoWzZ8/KLvrc3FwYGxsjNDQUmzZtUrhHUjpQecmSJZg7dy7MzMxw/vx5WFhYwNvbG9XV1c8deN6QdBxsnz59kJ+fj7CwMCQnJ+Orr76SteanTJmC7t27K9XzJ80n17VrV7z++uu4cOECTpw4gYKCAoSEhMDHxwejR4/GjBkz0LdvX4Umu4hEImhqaqKwsBDr1q3DzZs30aVLF3h5ecHHxwfbtm2DlpYW/vvf/yodqEon5SxZsgTV1dVwc3PDjRs34OfnBycnJyQkJCAgIOBfPUQNM/pv2rQJBgYGCAgIwHfffQcOh4N+/frJeokUabhJb+YVFRV4//33UVZWhidPniA/Px9Tp05FaWkpbty4gRUrVijdc8DlcmV5MC0sLHDy5EkMHjwY3t7eyMvLQ2JiIgIDA8HlchEWFobJkyc3Otidy+XC1tYWAQEBEIlEKCoqwv79+3H58mXZxChlSHP6/ec//4GdnR3c3d2Rn5+PvLw8TJs2DVlZWeDxeErdMBs2Fr777juMGjUKhoaG+OmnnxAUFCTLnzht2rQmE/xKA9T8/Hzs2rUL+fn58PLywujRo3H8+HEcPnwYNTU1GDNmTJMNmQ8++AD5+fmYN28e/Pz8MGTIEPj4+IDL5SI8PBwnT57ElClTFB4zKa2jEhIScPnyZYSFhSE7OxtXr16FSCSCl5cXjIyMlB7r3FgaGWleR+lv0aNHjyaD54Zjnzds2ID8/HxkZGTA398fDx48QHx8PIYMGaJwmhXp+Mtly5bh9ddfh62tLQ4ePAgjIyMsXboUCQkJWLJkCVxcXOTuLxKJoKWlhZdeegkpKSlITU3Fyy+/DHt7ezg7OyMxMRFDhw6FtbW1Ug1J6X1IJBLBxsYGvXr1wunTp3Hz5k1Mnz4dERERuH79Ory9vZVqvD2LAkAlNTyZBQIBTE1NceHCBZiYmDyVyuPhw4fQ1taGm5vbc4M/DQ0NFBUV4ZdffkFdXR10dXUxYcIEdOvWDSKRCGFhYZg2bdpzKwNpwmmRSCR7lHr16lV4e3tDV1cXNTU1qKurw+3btxWewckYw4oVK2BjY4N169bJjjV+/HhERUUhPT0db775JiZOnIhx48YpdOFKE0YvX74c169fR8+ePeHv74+PPvoIFhYW6NGjR5Plkrpw4QKOHz8u+35Pnz6N1atXw8nJCba2trKbuIeHh1L5vaSPaL/++msYGhrC398fd+7cwcCBA+Ht7Y2IiAileoWkv3FxcTEEAgEsLS3RtWtXnDp1CpaWlnBzc8OoUaMwbNiwRnt3i4qKcOPGDRw8eBAxMTGYPHkyXnrpJVy6dAkDBw7EpEmTYG1tjYkTJyrc2yz9TtjfebIGDRqE3bt34z//+Q+qq6vh7OyMkSNHKhSsSX9boVCInJwcjBgxAtra2hCLxdDW1oalpaUsCFSm11kikeDtt9+Gm5sb3njjDWhra8PT0xPp6emwtLSEs7Mz9PT0oK2tDW1t7SbLyhiT9dYUFBTgyy+/REBAACZOnIjNmzeja9eu6Nu3LyZOnAg7OzulKlZphV1RUYGKigr06NED4eHhMDIywt27d1FUVIQFCxbAz89P7g1Z2ju8YMECvPzyy7C2tsaAAQPg7OyMzZs3Q0dHBx4eHgrn1ZQ+2r506RKsra2xcuVK6Onp4dGjRygpKcGiRYswfPhwpdJ3xMTEwMTEBHp6eggNDZWtQDBw4EB89tlnsLOzw5w5c2BmZoakpCTs3bsXW7Zs+VeD5MiRIygqKkK3bt2wdu1aaGtro0ePHujVqxc8PT3Rr18/mJiYYPz48Qr/Bj/++CMuX76MwYMHy9Ifbdy4EZ6enhAKhYiOjgYAWc5DRUnr+/z8fISEhODhw4dYvnw5Bg4ciKysLOzcuRMzZsyAp6dnk2UtKyuDnp4eCgsL8cEHH8Dd3R0uLi5Yt24dfHx8MG/ePAwZMgReXl7PbQBv27YN8fHx+OKLL/DVV1/h0aNH8PX1RU5OjmzSS3h4OLZu3arQ48aGjd779+/jm2++wRdffCELem7evIknT57AxcVF6XQv0h62lkojI52oFhQUhNmzZ6O2thYXL16Era0tPDw8kJSUhL59+zZZPzesA2tqapCfn4++ffti586dWLVqFfLz89G9e3dMmjSp0XpZIpHIGpLx8fGYMmUKCgoKkJ6eDj09Pdy9exfnzp2TDcdR9juT9jY/efIEhoaGGDduHO7fv48BAwbgnXfewZQpU5SqT+WhAFAJDR83rlixAr/++issLCzg5OSE48eP4969ezhw4ADWrl0LLS0t6OnpPXfMmXTM3/vvvw9HR0fExcWhsLAQJiYmyMrKwq+//ooPP/zwuRextPfLw8MDQUFBGDlyJGxsbGQnoqWlJW7evCmbAaZoaz8sLAxisRjLly8Hl8vF9u3bcfToUYSFhWH9+vU4c+YMkpOTMXz4cKXG/AUHB8Pf3x/W1tb49ttvMWbMGFmvy5QpU6ClpdVkwJacnIzS0lJUVVXh/v376NmzJwoLC3Hr1i0MGTIEHA4Hly9fxqVLl+Di4qLQY9qGvXSlpaXYunUrbt68iZs3b6KsrAza2tro06cPxowZo/DF3PBCXrJkCeLi4lBTUwMPDw/weDyEhobC0dER1tbWjX7mEydO4MKFC3j99ddRWlqKiIgIBAcHw97eHvr6+jh48CBmzpwJOzs7hVOBSAOVoqIiGBkZ4ccff8S3336L7du3g8PhYPfu3Zg8ebJCPQcNl8BatGgRzp8/j7Nnz2LZsmUoLy9HTEwMNDU1le5lkkgkWLVqFZKSksAYw+TJkwFANuYsLi4O8fHxsLe3V3gcV3h4OEJCQuDu7o7s7Gxs3boVb731Fvr27Qt3d3cEBQWhe/fu6N27t8K9JsDTK+ysXLkS0dHRqKysxODBg+Hu7o7c3FykpaXJclw2lJycLFsmLT09HUVFRVi6dCns7e0RHR2NwsJCrFmzRuHfV1oWgUCA5cuX4/Hjx7KhGtLE8SkpKejbt69SNyWhUAiBQABXV1dUVFSgqqoK169fx/Dhw+Hg4ICqqiqEhobC398fJiYmMDExwZQpU/7VIBGLxYiMjIRQKIS2tjaKi4vh4eEh6wWSSCSwtLSEp6enwr+rRCKBgYEBTp06hYqKCgwaNAjffPON7FypqqrCxYsXUVxcDDc3N5ibmyu8aoo0kP7qq6/g4uKC5ORkREREYNKkSfD29palQXne+SKRSLB582YYGRnBzs4Oly9fRnV1NZYsWQJnZ2c4OjoiOjoao0ePhrW1dZNPP8zNzXH37l14eXlhxowZ+Oabb5CZmYkpU6ZAKBSiS5cumDt3rsJjzaSPfS9fvgxvb2/ZzONJkybBzc0N3t7eKCgogJmZmdKriLRUGpmGv5dQKERFRQV8fHxkKXM4HA4GDBiAkSNHNhkUNRzLWVhYCB6Ph927d+P06dNYv3697BH4+PHjG71GGl5n77//Pq5cuYLr16/j3XffxcOHD2VLUioyBlHedyZdCcbJyQk6OjpITEyEtbU1/Pz8cODAAVkKmeYuTUkBoBKkF8rWrVvh5uYGf39/fPXVVxg1ahT8/f3Rp08fWZ65o0eP4tVXX5V7MTcMNs6ePYv+/ftj0qRJCAkJwZAhQ/D/7Z13WBTn+r9vmhRBqgiIgEiTpiCKKIgIIjZijcbeYmyJGmsi1sRYokdjiSZyTOzHLoqiiGJFUVREbIgiICCKIL2zvz/y2/ligrKrJDFx7us614mz7868zM6888xTPo+lpSUdO3bE39+/1lDFzp07CQ0NZenSpULOkb6+PmVlZZw6dYohQ4bg7e1Nz5495ZI6kCbS5uTk8L///Y/79+8TFBREdHQ0L168YPbs2djZ2dV6s1W/cWNiYlBTU6N9+/acOHFCSHbv2rUrEyZMqFEK4/fcuHGDTZs24eDggLGxMc+fPxcKAXJycti0aRMhISFs3LgRJSUlmZX4pW3PLl68iKmpKR4eHjRv3hwNDQ2uXLlCfHw83bt3F2RlZEGqTTVjxgzGjRuHpaWlUAjQtGlTmjZtirW1dY3nUCKRcP/+fSorK3n+/DmJiYn06tWLwsJCjhw5QpcuXUhLS+PmzZv4+/vLJHQsXbQyMjKEtoIRERGMHz+eO3fukJ+fz969e1myZIlMRrN0f/n5+Xz77bcMHDiQWbNmcfjwYc6fP8/EiROpqKjAxcVFbsmD3bt3o6CgwMaNG7ly5Qpbt24Vzr+amhqOjo7Ex8fj4eEhsze2YcOGvHjxgsjISAYOHIiRkRGLFi3C29sbJycnWrdujbm5uVyev8zMTDQ1NQXNr169ejFt2jQhZ7FPnz54e3sLepa/JzY2luPHj3Pz5k2srKxYt24dJiYmNGvWjPj4eC5fvkz37t1l1jKUFhZs2LABBwcH5s6dS05ODnfv3gWgXbt2uLm5yeU5uHTpEtra2tjY2HD8+HH27t2Lvb09ioqKHDlyhPLycsLCwpg+fTpWVlaoq6tjYGDwisFaVVXFqlWryMrKokmTJoIkUGRkJJGRkdy6dYvw8HDy8vKErj+y3GfSh7m+vj5xcXFERESgpaXF8OHD+eabb0hNTWXbtm1899133Llzh/r162NtbS3TvisqKlBQUOCrr74iNTWVBQsW0Lt3bw4dOsTevXvp06cPrq6utRp/X375JQ0bNhQKUB4/fszdu3fp3Lkz8Nualpqaiq+v7xujRYmJiejr66OpqcmlS5fIzMykVatWBAYGsnbtWu7fv8+YMWOwtbWV+WWhel7eggULuH79Ol5eXrx8+RJra2s0NDTQ1tbm1q1bxMXF0aFDB5l/GynvKiNTvVAtMzMTbW1t5s2bx8GDB/nhhx8oLS1l48aNdO/eXWbjLzMzk8mTJ3PgwAHU1dUZOXIkp0+fRlVVlZ07d7J06dLXyiFVT68IDQ2ldevWBAUFcfr0aa5du8bo0aMpKytj8ODBcuf8wW9h8pkzZ9KgQQOmT5+OmZkZubm5XLx4EXNzc0aNGvVW/YhrQjQAZaC6wRYeHs6GDRuYO3cudnZ2mJqasmTJEkxMTARx4JCQEGbPnv3avAEFBQVyc3NRVFQkJSWF4OBgzpw5I+TpnTx5Ei8vr1o9a1VVVRgbG6OmpkZoaCh2dnbCjd+kSRPCwsJwdXVFX19f5oekVIjZyMiIyspKsrOzcXR0ZMGCBejp6VFVVUVWVhbu7u61ehCqt05TVlZGWVmZevXqERwczGeffYaWlhbZ2dl07NhR5t6yxsbGlJWVceHCBUFUOz8/n2fPngmFHnp6euTl5bFlyxbGjRv3xsVQOsfKykoeP37M0aNHiY+P59y5c5SXlzN06FC6detGQEAADRo0kOumKy0t5cmTJ5SWltKqVSv27duHm5sbx44dQ1lZmV69er32wR4TE4OqqiqtWrUS2s0lJCTQv39/UlJSmD59OhkZGUyfPl2mfCbpYl9aWso333zDyJEj6dy5M6tWraJp06Z89dVXtGzZkq5du8r0xipdBHNycoiLiyM0NJRmzZrh6OjIRx99xObNm7l27RqfffbZW+ldmZmZCUU7nTp1Ijo6ml27dr1iBLZt21amfUvv38LCQg4dOsTLly+Jjo5m1KhRGBkZMX78eLp06YKDg4Ncxt/27duJi4vDyMgIDQ0NwsPD6dmzJ3p6erRp04Zt27ZhZ2eHgYHBK/OUSCTMnz8fd3d38vPzWbFiBZWVlQwYMABXV1fmzZtHRkaG4JGQ5d6oHsZLTU3l3LlzVFRU4OTkhLW1NQ8fPuTRo0e4uLjI1a1m3rx5REREcPz4cUxNTTE0NCQ7O5tHjx7h4OCAnp4ecXFx9O7dGw8Pjxo9a9KIiaqqKunp6WRlZdGnTx+SkpLIyMigQ4cODB48mNLSUry9veUS2pYW4n3xxReYmZnh7+9PSEgIDRo0YM6cOejr6+Pk5ISGhgZHjhxh8ODBb1wPJBIJhw8fxtraGkVFRRQVFXFycuK///0vBQUFtG3blsDAQE6dOkWrVq1qzcueMmUKFy9eZPbs2UIo0dLSkr1793LhwgXu3LlDZGQkU6dOfePvvGrVKubNmyfkmHbv3p2lS5cKxTw9evRg69ateHl5oaGhIdP5k45JS0sTvMNPnjwRjPHc3Fw6dOgAwN27d+nZsyf6+voy7Vt6HWzYsAFNTU2ePXvGlClTGD16NH5+fixevBh3d/daNSerR1EmT57MoUOHMDAwYPTo0ezbtw8dHR22bNnCkiVLZFq3qmud9u/fn0GDBjFz5kzs7OyYNWsWZmZmBAQEvNZwk0YBs7KymDZtGrGxseTl5dG5c2f8/f3Zs2cPd+/e5fPPP5crilD9OVSvXj0kEgnnzp2jSZMmWFlZ0bBhQ8rKyoQ8zLpCNABroXpl1LNnz2jSpAmVlZVs2bIFb29vbG1tMTc3R19fn6ZNm9KsWTOh/dibCA4OZufOnYwfP574+HiePHmCk5MTwcHBTJs2rdZqX2nSfVFREYWFhaioqHD8+HEcHR3R1NTk5MmTREdH06tXL5kXfGmOSmZmJjdv3iQwMJB27dqhp6eHmpoaJ0+eZMeOHXz66ae1uuylyc5Pnz5lyZIl3Lhxg7KyMiwtLUlLSyM1NZVdu3axaNGi14odV6f6A87Ozo6ysjLOnz+PhYUFBgYGQvK5l5cXGRkZhIaGEhQU9MacuOqJ99OmTUNHR4cWLVrg7+/PzZs3CQsL49GjR3z00UdyhX2lFWo//vgj1tbWNG7cmGPHjvHJJ59gZmZGdHQ0X3zxxWu9w+vXr+fhw4coKipy6tQpdHR0MDIyIjMzk4cPH9K7d28MDQ0ZNGiQTDl/0ms4Pz9fkMgpKytj69atrFixgps3b1JVVSXk1MmCNGft888/x9XVlVatWhEZGUlFRQU2Njb069cPe3t7uQs+Nm3aRExMDDdu3BC6rAD4+flx7do1NmzYQJ8+fd7KEzthwgT8/PwYMGAAZWVlhISEMGzYMCwsLGjUqJHcydTSc/ns2TOMjIwoKioSigzu3r1LVFQU/fv3f+WcSiMIlZWVeHp6kpubS79+/SgpKeHWrVv4+/vj5eWFpaUln3zyiUweBOl1/Pz5c3bt2oW1tTV2dnY8fPiQrKwsrKyscHJywsXFRS7P33/+8x/y8/NZv349BQUFXLt2jf79+6OmpkZGRobQU7dr167CPVyT8Tdz5kysra2ZOnUq3t7eHDhwgK5du2JnZyeEk83MzOjUqZPM89uxYweampro6ury5MkTzp8/T1BQENbW1pibm7Ny5UpUVVVp3749ERERnDhxgunTp9dapLFp0yaWLVtGdnY2CQkJSCQS7OzsCAwMZN26dTx+/BhPT0+ZvE1Tp07FxsaGnj178uuvv2JiYiKke/Ts2VOoph4wYECtKRKlpaU8f/6cgIAAoRd8mzZtuH37Ns7OztSvX5/evXvL5Bmqvpbu27ePiIgILl26RJs2bbC1taVfv37Y2Nhgb28vXH8tWrSQuXNSXcnISNetsrIytm3bhp+fH8OGDWPq1Km0aNFC6DoVGBhY6zOk+ovJsWPHCA0NFe79du3a8dlnn6Gnp4e7u/trIzKPHj1CX1+f7OxsFi1axMCBA5kyZQqrVq0iJycHd3d3evTogZ2dndzrnpKSEunp6Xz//fecOXNGcLAcPHhQyBW3sbF56/7Br0M0AN+A9O1DIpEwfPhwoqOjuX//Pv3790dZWZkffvgBHx8fbG1tX0l0rklioLphoKSkhJ2dHXfu3CE8PJwFCxZQr149nj59yogRI17rOZRSUlIihHvnz59Po0aN6Nq1KykpKYJCeHh4OF9//bXMYd+9e/cSHh5OixYtiIyMJCUlBTc3N16+fMnu3bv5+eefiY2NZcGCBTIVa0hlVCZNmsSIESPIzc3l+PHj2NnZCX1mJ0yYIJMBI63arKysZPny5Zw8eRI7OzuKioq4d+8eJiYmNG7cGA8PDwwMDLCyssLb27tWz5iCggIvXrxgypQp+Pr6cvfuXcEQDwwMxMXFhS5dusj8UKruZVNVVSUzM5MtW7YwePBgrl27xtq1a7l48SLz5s2rMcRaVVXF7NmzUVRUxN/fH29vb3bu3MnLly+xsLDA0NCQR48ekZ6eLiTby4LUWPv000+xtLSkqqqKvXv34u/vj7GxMZs2bWLw4MG1LlpVVVWsWbOGyMhIsrOzhd7WY8aMwdzcHDU1Nfbt24eKigrW1tZyL4IzZswQ+gZXVVWxcOFCWrRoIdxbnTp1IiEhAVtbW5mLU6SLvoqKCrGxsXz66acYGBhgYGDA0aNHuX37NmPGjJE5xFp9v+rq6uzdu5e7d++ioqKCpqYmhYWF7Nu3j2vXrjFnzpw/eDjy8vJYsmQJL1++5Pz586xYsYKPP/6Ytm3bcunSJfbv309KSopMbRThtxC0lpYWz5494/PPP0dZWZnNmzfj6+tLs2bNuHjxInl5ebi4uMhVhfjtt99y9+5d1q1bB0BKSgpJSUm0a9eOxo0bU69ePfLy8jAxMXnjdbh8+XL279/PL7/8AsDatWspKiqiS5cuaGhoYGpqypMnT+RqXwVQv359ocqyfv36XL16FWNjY+FFKT09HS8vL8zMzHBycsLHx0emtdDQ0JCnT5/StGlTLCwsmDJlCs+fP0dFRYVPPvmEzZs307lzZ9TU1N7Yu/nKlSv06tWLjh07Cobunj17MDMzE7pbWFtbv1FiSSKRcOrUKSwtLbGwsBCqcefMmUNYWJjQJaZLly7o6urK9EJUPY99//79NGzYkDZt2pCdnc22bdsIDQ3FysqKrl270qRJE5lzJaFuZWSqF98sXbqU2NhYvL29sbe3x8PDg7Fjx2JkZISnp6dM65Y0hCz1sOnp6QlRCxsbGzp37kyTJk1q/C2k/YGl/ahfvHjB/Pnzadu2LU5OTvj7+xMUFERJSQlt2rSRuzBDGhGcPXs2gwYNori4WIiSqampERISgq+vr0xpPvIiGoCvofpbUlRUFBoaGowdO5akpCSuX79OQEAAioqKNGjQ4I2GhkQiISQkBAsLC8rKyti9e7fgCXN1deX06dNERkYyYcIEWrVq9cbFVNoGKyYmhv379xMeHk5BQQFjx45FT0+Pxo0bEx8fz549e1i6dGmtb7vV91tcXExmZiZ37tyhuLiY8vJywbtmbGzMwIED8ff3r3URlQpwduzYkaKiIhISEujWrRtbtmyhV69e5OTk0KdPH7y8vGQ2YKQG9dSpU4VKzaioKOzt7dHX1+f8+fP07t0bIyMj4eH8JiHR6jpS0dHRWFtb06dPH44dO0Zqaio3btxAW1ub1q1by238FRYWEhQUxNWrV+nXrx8AhYWF9O/fH01NzTcmZ8+cORNjY2Ph/4ODgzl+/Dh5eXlCuN/CwoIOHTrU+ib4e2Pt4MGDaGlpMWLECAwNDVFRUSEtLY0zZ84wZ86cWpO7pcZpvXr1CAgIwNvbW6isVFFRwcTEBHNzc/T09HBycpJ7EVy2bBl6enp8+eWXWFtb06JFCwwNDVm0aBF+fn5COEUaIqwN6aKfl5fHvXv3MDIyIjw8nEuXLtG+fXuio6NJS0tj4sSJcodUpL/z2LFj+fjjj/Hx8SEpKYl69erRoUMHevfuLYi1/h41NTUhVOXq6kpWVhY7d+7Ex8eHbt26oaSkhK+vr0xh3+3bt3Pr1i309PTYvXs3PXr0YPTo0Rw5coQDBw7Qtm1bzM3N8fDwkMtzkJ2dTWxsLI0aNaJFixaEhoby008/kZGRwbVr1/jhhx8oKSmhT58+b7xudu/eja6uLvn5+YSHh5OYmMizZ8+YN2+eUCXeoEEDuQtSAHR0dPjll19Yv349bm5uKCgocPToUW7evMmOHTsYN24cbm5uVFVVoaKiUuvD89ixYzRq1Ag9PT1SU1Pp0KEDjo6OREZG4ubmxtatW8nJyWHZsmWv1cjYeSEAACAASURBVOaTcu/ePUaOHImdnR3W1tZIJBKcnJwoKSlh7969GBkZyRSufPToEaNHjxakUjw9Pbl+/Trm5ub4+/tjbW1NTk4OLVu2lKvfdVlZGbNmzeLhw4fk5OSQn5/PyJEjadGiBaqqqlhYWAgvqPKkvNSljIy0wGLFihV4enrStGlTVqxYQYsWLYRivNcZbNWpnvM3e/ZsYmNjuXLlClZWVjRt2pStW7fi4OAgtEut6fszZszAysqK/v37s3jxYszNzenXr59QjOfs7EyvXr2wtLSUq6d5deM6ISGBlJQU2rdvz759++jXrx9xcXEMGzYMb2/vt0qjkQXRAKwBqUtWmsMRFxeHlpYWfn5+GBkZkZCQQExMDOPGjas1hyE9PZ1vv/0WdXV1tLS0uHbtmvBGaW5uzosXL0hOTqZNmzZvvDGqqqoICgrC1NSU8ePH8+LFC5ycnEhISKCiogIrKyuh8feAAQNk7ucpDSXXq1ePx48fo6ioyJkzZ4iKiiI7O5u1a9eSnJyMt7f3G+cnzVmoqqoSQsienp7s3r2blStXsn79eurXry94J2S5oH/66SeOHj0qhGKuXLnCN998g7W1NcrKymzfvp3Zs2fTsmVL4YEpa+7Ls2fP2LNnDw0bNiQzM5Ndu3axbNkyKisrBQ+MrA+lvLw81NTUKC8vR01NTUhGP3v2rGCA+Pv7Y2dn98a8kCtXrjBr1iwADh48SExMDKtXr+bo0aNCs3lZdL1qMtYiIiKA34w1W1tbWrVqRdu2benQoYNMDyOpUTpjxgyMjIwIDg4WCgBKS0uRSCSYm5vTrFmzt5ImOH36NH379hUKmBQUFLC1teXevXuYm5vLrG0o/fullcnjxo3j/PnzREZGsmrVKsLCwgRV/q+++kouIe/qHsXCwkLOnTvHl19+iampKSoqKgQHB6OpqUmrVq3+EPbNzs4Wrvn8/HxOnTqFm5sbFhYWPH36lHXr1uHl5UWHDh1kDkXn5eXx4MEDSkpKKC8vF3oOr1ixgoSEBG7dusXw4cPleigBqKurY2RkxLNnzwgODubq1avs3r2bkSNH4uvri8X/16+szXv//PlzQTczPj6e8PBwtm/fjqqqKqWlpYJRJn3Rro1Lly4JntaZM2cKRtqvv/5Kr169cHV1xdraGm9vb1xdXQHZ1oOYmBgOHz6Mp6cn9evXJykpiXnz5nHx4kVmzZpF165d+eSTT7CxsanV0CovL6dRo0Y0b96c7777DlNTU+FF3NHRkZycHMLCwvD19UVZWbnGfVRVVfHFF1+QnJxMXl4eqqqqwjNHXV0dVVVVLC0tadCgAT4+PjIZf6dPnxY6hoSEhKCrq8usWbMICQkhKSmJ5ORkPDw88Pb2xszMTC7PX13KyFQ/7r59+9i/fz/ffPMNLVu2REtLi5kzZ9K2bVuaN28u032ioKBAQUEBkyZN4qOPPqJv376oqakJVdf16tWjefPmNa5ZVVVVTJw4keTkZObPn4+qqipPnz7l8OHDtG3blu7duzNmzBhsbGxwdHSU6z6rXoksdVbcvHmTtWvXMnfuXAwNDdm9ezcdO3aUK5dQXkQD8HeUlZUJN+Z//vMfDA0N8fb25uHDh2RnZ9O6dWvMzMxwdnZ+Y55eVVUV48aN49mzZ6Snp3P79m10dXXx8fHh4cOH3Lt3T6h+mz9/fq03xsSJEyksLOS7775DQ0OD5cuXU1JSwpkzZ0hISKCyshIHBwe0tbVlfluQhpIrKytZsGCB0EA8JSWFJk2a8PXXX9OhQwe8vb1rTXaeOHEijx49IiMjg549e3L79m3u3LnDxx9/zJMnT0hMTGT//v0sXLhQprym5cuXk5GRgbe3N82bN8fZ2ZlLly5RWVmJlZUVCgoKnD17Fi8vL5m8JRKJhKioKDIyMigoKCAoKAhHR0d69OiBvr4+oaGhlJaWcuDAgRpDd69j9+7dREVFYWJiwtGjR3n8+DG9evUS8rAUFBSIioqiS5cur61ylkgk5Ofn88MPP9CsWTNMTU2xsrLC19cXHR0dsrKy6NmzJz179pTJuKrNWKuqqsLQ0BB1dXWZ80NfZ5yGhoaSlpaGoqIirVu3lrmF0++Jjo5GIpFga2uLsrKy8CA4d+4cNjY2clWwS2UUFi9eLFQmHzhwgCtXrrB06VJ8fHyE8LesSBdsaecHY2Njrl+/zv79++nWrRtJSUkkJCQwatSoP3gUhw4dyv79+8nOzsbNzQ0jIyMUFRW5f/8+Tk5OKCoqoqysLFObx+qYmZmhqanJ5cuXMTAwoLCwEDU1NdTU1Lhw4QKzZ8+WS7etoqJCeJDr6emhp6dHQUEB9evXx9HRES0tLZSVlbGwsJDpnpNKWFy5cgVvb2/S09OJjIykS5cucoezHj9+zM6dOykoKCAqKkqQtZJW9P744484Ojri7u5eqybp7zExMSEqKorjx4/TtWtXHBwcSEhIoFWrVnTr1k0oYpPl3lNSUiIjI4N9+/ZhZmbGrl270NfXx8bGBvgtl05qaNaERCJh2rRpWFhYMHPmTAYNGoSbmxtaWloUFhaya9cuoqKicHFxkfm3XbZsGZcvXxbai6qqqmJiYsKaNWsYNGgQhYWFxMfH4+LiIkRl5NVOrQsZmerVtQoKCjRp0oTi4mK2b99Op06daNGiBY0aNcLCwqJW4y8hIUHQ/CwoKODGjRtMmTIFTU1N9PX1uX79Ot27d39jzp/0Jbpdu3Zcu3YNMzMz3N3dqaioYM+ePbi6ujJgwAC584dTU1PR0dEhMzNTqDC/cOGC4NFMTEzk0KFDfPXVVzI/h94W0QCsxtatWzl//jyOjo4cPXqUixcv4u/vT8eOHSkrK+PKlStkZWXh4eHxxh+8urduyJAhVFZW0rZtW0JCQjAyMsLNzQ0VFRUyMjIYO3ZsrQZReXk5eXl55Ofn07hxY0JDQ3n58iXz5s1DV1eXx48fU1xcjJeXl0x5PjWFkvPz8xk/fjxNmjRBV1eX9PR0Hj16JJP7efr06VhbWzN37lw6dOiAmZkZGhoanD59mpKSEr766itsbW3p1auXTMbfiRMnuH37NsuWLaNZs2Y0atSIiooKnj59ys2bNwUpihEjRuDg4CDT3ztp0iQSExO5ffs2lpaWPHjwgIKCAnx8fNDW1iY7O5ubN28ye/ZsuULnRUVFPH78mEePHqGsrExubi7r1q0jJycHExMThg0bRp8+fd4YNlJQUEBVVVWoCtfX10dfXx9lZWWOHTvGwYMHGTRokMwLfm3GmpKSksz9NmUxTnv06EGvXr3k8vxJ27slJCQIsiC3bt3C0tISdXV1lJWVCQ8PJyIiggEDBsjc/UJ6jq9fv05ISAhNmzbFycmJjz76iE2bNnHx4kUCAgLk0tCS5gI/e/aMTz/9VKgWnzp1Krdu3WLHjh2cPXu2xtzOyspK8vLyePLkiSCCe+fOHRo0aICmpiYdOnRAW1ubvn37ymSQjh07lpCQEO7fv09JSQkmJiaoqKjw/PlzNDU1uXfvHidOnJBL81OKtApx0aJFhIWFCUUK2traRERE0KhRo1qL034/v8aNGyORSMjIyKBt27ZcvXqVs2fP0r17d5nnJZFI0NXVRUtLi9u3b2NhYUFGRgZRUVH4+fnRvHlz6tWrh5GRkczGn0Qi4dtvv+XZs2c4ODjg4+MjrO/29vY8ffqUe/fu4efn91pPXfV93bp1Cw0NDVRVVZk7dy7W1tZMmzaNli1bsnjxYnR1dQUj8E1i3ufOnePFixfMnDkT+K3/9eHDhwkJCWHSpEk0b96ciooKvLy8ZEpd2LRpE3l5eSxbtgxPT0/y8vJISkqisLAQPT09PDw8CA4OZsqUKdjb28t07qr/3XUlI1Pdaz9t2jRu377N/v37GTFiBPBb7qg0d7A2Y6u0tJT4+HguXbrEvn378PLy4tixY8TGxtKxY0eioqKIjIzE39//tc+2zMxMioqKmDZtGhoaGiQmJgrrk4uLC4WFhYSFhQlRC1nZvn07WVlZNG/enDFjxjBixAjU1NS4ePEi1tbW9OrVCyMjI/r27VtrWk5dIBqA/5/z589TVFTEiRMn0NTUxMHBgdLSUpKTkwVZh/Lycuzt7WvNXZN665YsWUL9+vVZunQpJSUlnDt3jri4OAwNDQkMDMTHx0emPDglJSVsbGwoLS3l+++/JykpiV9//RU1NTVSU1OpX78+X3/9tcy5Ua8LJZeXl2NjY0OTJk3Q1NSUqUF8WVkZ169fZ8aMGcD/Je9KCz1SU1NJTEzEz89PZs/kvXv3UFdXx8XFhcrKSuC3isvz58/j7OxMy5Yt8ff3x93dXaZQRXUD1cfHR6j6vHjxIklJSbRp0wYXFxd8fHxk6pIiRWq47d+/n9zcXBo1asSoUaPQ0dHh9u3bhIWF0bt3b5llGRo2bMiNGze4du0aqampJCQkcPDgQb799luZFoM/w1iT1TiV57xVVVUxbdo0UlJSuH79OmFhYfj5+XH37l1u3LhBSEgIqampHDhwgMWLF8tcCSvNG0pMTMTQ0BBbW1vOnj1LWVmZUN3YokULuWRGpOcgPz+f2bNnM2rUKPz8/Dh69CiJiYnMmTNHqIStyYBTVFTE3t4ebW1tKisradiwIXZ2dqxfv56TJ0+ioaGBr6+vTC9uUk3ImJgYXrx4gY6ODhs3biQlJYVz585x8uRJunbtyrRp0+TSH7t06RIA2traggi1r68vycnJFBcX4+zsLDzQ37RevW5+T5484dSpU4SHhzNhwgQGDRokc95lTEyM4H0zNTUVvDcdO3YkOTmZI0eOCBXF8nj+bt++zdq1a7l+/Trl5eWkpaUJedr29vaYmpqyY8cOfHx8atUnvXr1Ktu3b0dXVxczMzPS09PR1dXFwsICU1NTHj9+zLFjx+jZsyfKyspv3FdpaSm//PILd+7cISwsjOTkZJYtWyYIb48aNQpPT0+ZPE6VlZVERETg5uaGqakpq1evZuXKlSgqKvLjjz8SHR1NbGwsw4cPr7UitybqSkZGGpmoV68en376KT179mTEiBHk5+ezdetWJk2aRFZWFjY2NrVGoiZPnsylS5c4fvw4KSkpgiB737592bt3L2fOnCEyMpLFixe/0bumqamJs7MzAAYGBqirq5Oamkp8fDzm5ua0adNGLg1SKY8ePRKEnEtKSnB3d2f9+vWMHDmS8vJy7OzssLS0fOcOH7IiGoD85iKX9laVPng1NDTw9PQULmhtbW08PDxqNdhq89ZJ8zo8PT3lunik3RRUVVXJycnB0dGRmzdvsnv3bkaPHi1zb8vaQslS7bDGjRvLZLDl5eWxdu1aIUynqKiIgoIC6enphIWFMXToUDw8PORKYs3Pz+fYsWOCsS018q5cuYKSkhLdunUTvGG1PchfZ6AWFxdTXFxMeno68fHxuLu7C3N/E1VVVfz44484OzuTn5/PuHHjCAwMxM7OjszMTBITEwkICKB79+589NFHcmkHampqYmtrS7169YiLi6N+/foMHz5c5j7Gf4axJuVdjVMpUk04a2trZsyYQdeuXUlPTycqKorx48cLotFNmjTh448/ltnwlSZ6f/nll8TExPDy5UusrKywtLTkwIEDKCoqvlVlsvS3Ky8vp6SkBGNjY3bs2EGPHj04deoUUVFRdO3a9Y2hdGVlZUxMTCgvLycmJgYfHx8GDBhAw4YN8fLykjl3SFFREUdHR/T19cnNzaVv376MGzcOb29vWrVqhZ2dHZ06dZKr88Djx4/ZtWuXICd1584d5s2bh6mpKZqamhw6dIhPPvkENze3Wq+bN82vTZs2NGvWDA8PD5nDWlFRUQwfPpyDBw+SkJDAkSNHaNCgATdv3hQ0DbOysjAzM5P7mjY0NMTY2BhFRUXMzMzIyMjgwIEDpKWloampib29PYGBgW98WZBqBlZVVRETEwP8tt4UFRWRlJREbm4uN2/eJCUlhYULF6Knp1frWmBgYECjRo0oKyvDzc2NWbNmUb9+fXJycsjIyMDT07NWj6QUaf/iuXPn8uDBA168eMHKlSvp168fWlpa9O/fnyFDhuDs7PzWOX/vIiMjNdgiIyM5fPgwHh4ePHjwgEmTJqGiooKjoyO3bt2iU6dOtXb4qB46DwoKYsCAAbRr147KykqSk5PR19enZ8+euLu7079/f5nTP6TnpVGjRqirq3P37l2SkpLk1tOUYmdnR1paGuXl5ezbt49ffvmFNWvWUFVVxYYNGwgICPjLjD8QDUDmz5+PgoICq1atEhKyO3bsSHBwMHZ2dkJOnJOTk0xvXbJ46+bMmfNWYo5KSko0a9ZMCF9cvHhRrmpfWUPJ8hin6urqVFRUkJKSgqGhoXCO4uLiSEhIoF+/fnLrq+no6JCcnCwsxgYGBty6dUtI9pYnH0wWA7V9+/YyeemqF1d4e3uTn59PcnIyEyZMwNramsLCQg4fPkxpaSlOTk5vtUCoq6sLlb4tWrR4q0bfdWWsVeddjVP4bTFds2YNL168YN68ecJ2V1dXrl69yqFDhxg0aJCgrSmrYaSgoEBJSQnz5s1j9OjRuLu787///Y/KykqMjY1p1aoVDg4Oci2sUukhachMmlt37do1wWOXlZXF559/LtNvJC36qqioYPPmzTg4OODr6yt3gYaSkhKmpqYUFxezZ88edHR0aNasGSYmJjg7O8t1vUhDq5qamty6dQuAxMREnj9/jouLC8XFxYSFheHp6SlzbuLr5mdsbCz0+JWVRo0a0bhxYyG/uUuXLjx9+pTMzEwePXpEdHQ033//vVyh7kOHDnHhwgVcXV3R09PjyZMn+Pr64uvrS2VlJXFxcTx48AA/P783pglIO3zk5uaipaXFgwcPiImJISMjAy8vL8EQvHr1KhMmTJBJ61RK06ZNad26tSC1ExUVxc6dO5k4cWKtIfjf06xZM/z9/fHx8RGKGK9du8bGjRvp37//a/UbX0ddychUN9jmz59Ply5dqKysZOnSpWhpaWFvb8+JEyeIiIggICCg1udRTaFzaSWyjo4Od+/e5eDBg/Tu3VuuZ2/1uUtz/dq2bSuXLmx8fDzw2xoqkUi4d+8eOTk5LFy4kLCwMOA3Xctly5a9VeeQd+GDNgCvXr3K+vXrmTBhAqamphw8eJCff/4ZY2NjTp8+TVxcHI0bN2bgwIFyJVPXlbfudfs2NzcXJD3keQDXZSi5Oo0aNSI2NpYbN27w4sUL7t27x969e5k2bZpcifZSpA/LhIQE/vvf/wpeiqlTp+Lu7i7XvurKQJVqQRkZGTFt2jTgt0Vn27ZtVFZW4urqyoMHD0hJSWHYsGF/6Vvc76kLY60m3tU4Xbx4MZcvX6ZNmzYoKCjQoEEDoRjAxcWFuLg4ofuHvOTl5fHs2TNsbW3ZuXMnvXr14ujRoygoKNCtWzeZJYfgt0VbSUmJ1NRUvv76ax49esSNGzcwNDQkKSmJa9eusWvXLubMmSPXOZXeu2pqarWGs96EiooKTZs2paqqit27d2NiYiLXSxH8MbRqaGjI9evXsbGx4c6dOxw5coRDhw4xevRoWrZs+ZfPD35br5o2bYqSkhJRUVG0adNG6LgwcOBAunTpItf6sn37dpKSkkhMTOTYsWP4+Phw9uxZ4uPj8fT0xNHRkRYtWgh9sN9kFEkryGfNmoWDgwN+fn5kZGSQkJAgFDv06dMHX1/ft/K4l5aWcvz4cX799VcSEhL46quvZNJfrQkdHR0KCgrYuXMnN2/eJDg4mOnTpwuV0vJQVzIyvzfY5s2bR1RUFDExMZw+fZry8nIOHz4sc4ePmkLn0v7LT58+ZdCgQXTv3l2ufL3qSA1ZafGcrDx48ICVK1dy4cIFioqKsLe3x9nZmW3btmFmZsbo0aOxtbWlZ8+ef3rBR0180Aag1N0eGRnJxYsXefDgAevWrSMgIICqqio8PDxwcnJ6K6v8Xb11b0JZWRlbW1u5HmrVv1vXxqnU4JDm6ZWUlDB27NhaBa3fhJaWFi4uLrRq1QorKys6d+4s94NISl0YqBMnTqS4uJjFixcD8P3331NUVMT06dNZuXIlSUlJHDhwgIULF/4tN/LvqQtPYl2joKDA3bt3SU5OprKyEmVlZfT19VFRUeHkyZNcv35dkMeozSOxdu1aSktLBQ+Guro6KioqXL16FW9vbywsLDh//nytLbaqI638S0pKwtnZmbVr19KvXz/atGnDr7/+iqOjI+3atcPMzIxhw4bJ5dWRIhXJftcXBKkxqaqq+loZi9dRU2hVWmCRlpaGnZ0dbm5uDBw4EFdXV7nCg3Uxv+qoqKhgZmZGRUUFR44cQV1dXTjvsubWSsnLyyMtLQ1XV1eSk5N58uQJ5ubmHDt2DENDQywtLWVum3n58mUhraS0tBQNDQ0cHBwIDw9HIpGQlpZGmzZt3ioKAP+3xgcEBNC5c+e3epH+PU+fPqWiooL+/fvj4eEh13frWkamJoNt7ty5WFpaoqKiwsSJEwkMDJQ5naGm0Lmmpqag+iCrsPrreNu+u/r6+nTu3FnIKb137x6xsbG4u7vz/PlzXF1d0dTU/NN0/mrjgzYApZIGBQUF7N27l0GDBtG6dWtiY2P573//y+jRo+WujPr9/t/WW1cb79II+s8wTtXV1WnatCm+vr5C+7h3RUFBAV1dXQwMDN5pf+9qoEpD53l5eYKn+NGjR3z55ZfCG2Hbtm0ZPnz4W3k6PhTMzc0xMTHh6tWrpKWloaCggL6+PhcuXODIkSOCbIkseZ3JyclERkaira2NqakpEokEIyMjUlNT+eabb7h69SpBQUFyhbzz8/NZvXo1ycnJ5OTk8Pz5cxo0aMCOHTuYPXs2t2/fRlNTk/bt27+TNlddNHGHtzcmXxdaffr0KcnJyURHRzN+/Pi3EgOui/n9HmVlZZo2bUpRURHHjx/Hw8PjjZ04XodUneDq1au4ubmhoaFBw4YNCQsLQ0NDAw8Pj1o1CSUSCQUFBaxZswZLS0tMTU1RUlKioqICLS0tHj58yOzZs2nXrt07P9SVlJRkErGWhXr16uHg4ICLi4tcOaLw58jI1GSwaWlpkZycTEFBAV26dJFbHLym0PmuXbsYN26c3KHzukQqlO/t7Y2NjQ2XL18mLCyMCxcuMGDAALnaWtY1ChKJRPK3HPk9oqysjKNHj3Ljxg0sLCy4cuUKw4YNe6vKqJp4mzfov4KSkhKOHz+Os7Oz3JIRHxolJSWcOHGCzZs3o6amxu7duwE4fPgwW7duZdWqVX95/sY/lejoaNavX49EIqFJkyYkJCQIkj+yIr12z5w5w4ABAwSPxokTJzh06BALFy6UK21DSkREBFevXkVHR4eQkBByc3OZOnUqTk5OLFy4kOXLl8slHv2+UlxczOnTpzlx4gRjxowRKh7hNwmMd0lT+bMoKSkRqu1lZezYsVRVVWFra4urq6vQPi45OZkGDRrQu3dvHj9+TP369eXy6O7du5cXL17QrVs34XqIiIhg27ZtrFq1qk5egN8HNm3aRGZmJkFBQQDcv3+fuLg4lJSUKCgoIDAwkIkTJzJjxoy3jtCkpqYCv3UQ2blzJ/PmzXvrcHdpaSn79+/n9OnTKCkpCQVn7xvJycmoq6u/1RpVl3zQHkAp0lyTnJwcfv75Z7744gu8vLzqbP/vo/EH7xZK/tCoHjrPzs7GycmJ2NhYdu3aJbQHEpENU1NTTE1NOXXqFFpaWixevFhuo0rqva+oqODo0aNYWloSHx/Pzz//zJw5c2TeX01dOiIiIvD29qZhw4akpaVRVFTE3bt3mTx5cp2kcLwP1GVo9a9CVjFmKa+TpUlNTeX8+fOEhYWhra2Nv7+/3CkSBgYGxMbGcvXqVVJTU7l37x579uxh/vz5cnvY3lf+bBkZqNtcR/hzQud1idQZpKOjI7eH889A9ABWo6ysjBcvXmBsbPzeeu1E/l5KSkoIDw8nODhYqGqty9D+h0RMTAzGxsbv9MCs/nsUFxezceNGuYy0IUOGUFhYSOfOnRk/fjwKCgocO3aMhw8f4uHhIVQRShuz/9soKSnhyJEjnD9/nkWLFr0XuaJ1SVlZGREREZw7d44xY8ZgZWVFfn4+Dx484N69e7Rv3/6tX95ycnKIjY3l3LlzNG7cmE6dOv3rIiknT54kKCgIT09PSktLmTlzJmZmZmzZsoXGjRvj5OREo0aN3ul5WVZWRmVlJZWVlX9r8dyHiGgAiojIiRg6f7+Q/h5OTk5yGX+VlZVs2bKFU6dOkZGRQUBAALq6ujRu3JiysjJ69OhBYmIiBgYGf2sO0Z/N24RW/0lI5WzOnj3LwIED5S6A+NBJTk5GQ0MDZWVldHV1uXbtGosWLeL7778XupuI/DMRDUARkbdA9BC/X7zt71FaWsqZM2c4e/YsTZo0wd7enlWrVvH8+XMmTJjA4MGD/4TZivzVSHN4Q0ND+eyzz3Bzc/u7p/SPIjMzk927d6OmpsbRo0eZPn16naZJifw9iAagiIjIB01RURGnTp3i9OnTjB8/Hj09PSIiImjfvr1Y2PMvQlr44ubm9q/1dv5ZFBQUEBYWRn5+Pk5OTrRu3frvnpJIHSAagCIiIh880jDykSNHmDx58itVsSL/HkTPvYjI/yFbU0ERERGRfzFqamp06dIFFRUV0Tv0L0Y0/kRE/g/RAygiIiLy/xE9RCIiIh8Kb5Y9FxEREfmAEI0/ERGRDwXRABQRERERERER+cAQDUARERERERERkQ8M0QAUEREREREREfnAEA1AERGR94rZs2dja2vLjh07avz8yZMn2NrasnbtWrn2O3ToUDp16vTW86mrce/KX3UcWXnf5iMiIiIbogyMiIjIe8nq1avp0qVLnbVhGzduHMXFxXWyLxEREZF/OqIHUERE5L0kLy+PJUuW1Nn+2rdvj5+fX53tT0REROSfjGgAioiIvJd06tSJ0NBQLl26Yq5lnwAAB7xJREFU9HdPRURERORfh2gAioiIvJcEBQWhrq7OggULKCsre+PYGzduMHLkSFxcXHBxcWHUqFHExcW9MqamHMCbN28ybNgwXFxc8PLyYu3ataxbt67GnLZbt24xdOhQnJ2dad++Pd999x2lpaU1zqVv3744OTnh7+/Pr7/++ocxaWlpzJgxg7Zt2+Lk5ERgYCB79ux5Zczs2bMJCAhgx44dtG7dmtatW3Pu3Dm55iPLceQZFx8fz6hRo4Tz9dNPPyH2EhAR+Wci5gCKiIi8lzRu3JgJEyawcuVKfv75ZyZNmlTjuIsXL/LZZ59hZ2fH5MmTKSsr48CBAwwePJhffvkFNze3Gr8XHx/PsGHDMDAwYOLEiRQXF7N161YUFWt+Lx4+fDiBgYF0796dM2fOsGXLFiQSCXPmzHll3KhRo+jcuTN9+vQhIiKCJUuWkJ+fz+effw5AamoqH3/8MaWlpQwZMoSGDRsSHh7O3Llzefz4MTNnzhT2lZGRwYYNG5g0aRLPnj2jZcuWHDt2TKb5yHocWcc9ePCAoUOH0qBBAyZMmEB5eTmbN2+u1TgXERF5T5GIiIiIvEfMmjVLYmNjI5FIJJKysjJJ9+7dJU5OTpLHjx9LJBKJJDU1VWJjYyNZs2aNpLKyUuLr6ysZOHCgpKKiQthHYWGhpHPnzpKPPvpI2DZkyBCJj4+P8O9hw4ZJWrduLXnx4oWw7fbt2xI7Ozvh+NXn88svvwjbKisrJZ07d5Z4e3v/YdyyZcteGTds2DCJo6OjJDs7WyKRSCRTpkyR2NnZSeLj418Z99lnn0lsbW0lCQkJr+zv6NGjNZ6f2uYj63FkHff5559LWrZsKUlPTxfGJSYmShwdHV85XyIiIv8MxBCwiIjIe4uKiooQAl60aNEfPr9z5w6pqan4+fmRm5tLdnY22dnZlJSU4OPjw927d8nMzPzD93Jzc7ly5QqBgYHo6ekJ2+3t7Wnfvn2Nc+nevbvw34qKitjb25OVlfWHcWPGjHll3JAhQygrKyMqKorKykrOnDmDp6cnDg4Or4wbN24cEomE06dPv7K/13kw3zQfWY8j67iqqirOnz+Pt7c3xsbGwrhmzZrh6elZ4/xERETeb0QDUERE5L3Gzc2N3r17c+HCBY4ePfrKZykpKQAsX74cDw+PV/4nzb1LT0//wz5TU1OpqqrC3Nz8D59ZWlrWOA99ff1X/q2mpkZ5efkr23R0dF4xKAGaNGkC/JZnl5OTQ1FREU2bNv3D/ps1ayaMe9NxZZmPrMeRddzLly8pKirCzMzsD+Ned75ERETeb8QcQBERkfeeGTNmcPr0aZYsWUJwcLCwvaqqCoDJkyfTsmXLGr9bk4FSUVEBQL169f7wmaqqao37eV1uYHUUFBRe+5miouIbCyakf8vv56SkpCT3fGQ9jrzzKSkpee04ERGRfxaiASgiIvLeo6enx/Tp0wkKCmL16tXC9saNGwOgoaFBu3btXvlOXFwcubm5qKmp/WF/Uq/c48eP//BZcnLyW88zNzeXgoICNDU1hW1JSUkAmJmZoaenh4aGBo8ePfrDd6XjjIyM3vr4UmQ9jqzjdHV10dTUrPHcPHny5J3nKyIi8tcjhoBFRET+EfTr1w9XV1ciIyOFbY6OjjRs2JBt27ZRWFgobC8oKGDKlCl89dVXNXrQ9PX1cXFxITQ0lNzcXGF7amrqK1Ir8lJVVcW+ffuEf1dUVLBlyxY0NDTw8PBASUkJLy8vLl68yO3bt4VxEomETZs2oaCgQMeOHd/6+FJkPY6s4xQUFOjcuTPnz5/nwYMHwrgnT55w5syZd56viIjIX4/oARQREflHoKCgwIIFC+jTp48QwlVRUSEoKIipU6fSp08f+vXrh6qqKnv37iU9PZ0VK1agrFzzMjdr1iyGDh1Kv379GDhwIGVlZWzbtu2dQprq6uqsWbOGjIwMzMzMOHbsGDdu3GD+/PloaWkBMH36dKKjoxk6dChDhw6lYcOGnDx5ksuXLzNy5EisrKze+vjVkfU4so6bPHkyZ86cYciQIYwYMQIlJSW2bdtG/fr1RSkYEZF/IKIBKCIi8o/B1taWYcOGsXnzZmFbQEAA2trabNiwgR9//BFFRUWsra3ZsGEDPj4+r92Xi4sLwcHBrFq1itWrV6Ojo8PQoUN5+PAhJ06ceKv5NWjQgGXLlvHdd9+xY8cOzM3N+f777wkMDBTGmJmZsWfPHlavXs3//vc/SkpKaNasGYsXL6Zfv35vddyakPU4so4zNjZm165dLF++nODgYOrVq0f//v0B+Omnn+ps3iIiIn8NCpI3ZQGLiIiI/EvJysrCwMDgD9vHjRvHvXv3xNCmiIjIvxoxB1BEROSDpH///owePfqVbVlZWURHR+Ps7Pw3zUpERETkr0EMAYuIiHyQBAYGsnHjRqZNm4a7uzt5eXns2bOHqqoqJk6c+HdPT0RERORPRQwBi4iIfJBUVVWxY8cO9uzZQ2pqKqqqqri6ujJ58mTs7Oz+7umJiIiI/KmIBqCIiIiIiIiIyAeGmAMoIiIiIiIiIvKBIRqAIiIiIiIiIiIfGKIBKCIiIiIiIiLygSEagCIiIiIiIiIiHxiiASgiIiIiIiIi8oEhGoAiIiIiIiIiIh8Y/w/Gf10qukpdPQAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
],
"text/plain": [
" nhood_Blmngtn nhood_Blueste nhood_BrDale nhood_BrkSide \\\n",
"Order PID \n",
"1 526301100 0 0 0 0 \n",
"2 526350040 0 0 0 0 \n",
"3 526351010 0 0 0 0 \n",
"4 526353030 0 0 0 0 \n",
"5 527105010 0 0 0 0 \n",
"\n",
" nhood_ClearCr nhood_CollgCr nhood_Crawfor nhood_Edwards \\\n",
"Order PID \n",
"1 526301100 0 0 0 0 \n",
"2 526350040 0 0 0 0 \n",
"3 526351010 0 0 0 0 \n",
"4 526353030 0 0 0 0 \n",
"5 527105010 0 0 0 0 \n",
"\n",
" nhood_Gilbert nhood_Greens nhood_GrnHill nhood_IDOTRR \\\n",
"Order PID \n",
"1 526301100 0 0 0 0 \n",
"2 526350040 0 0 0 0 \n",
"3 526351010 0 0 0 0 \n",
"4 526353030 0 0 0 0 \n",
"5 527105010 1 0 0 0 \n",
"\n",
" nhood_Landmrk nhood_MeadowV nhood_Mitchel nhood_Names \\\n",
"Order PID \n",
"1 526301100 0 0 0 1 \n",
"2 526350040 0 0 0 1 \n",
"3 526351010 0 0 0 1 \n",
"4 526353030 0 0 0 1 \n",
"5 527105010 0 0 0 0 \n",
"\n",
" nhood_NoRidge nhood_NPkVill nhood_NridgHt nhood_NWAmes \\\n",
"Order PID \n",
"1 526301100 0 0 0 0 \n",
"2 526350040 0 0 0 0 \n",
"3 526351010 0 0 0 0 \n",
"4 526353030 0 0 0 0 \n",
"5 527105010 0 0 0 0 \n",
"\n",
" nhood_OldTown nhood_SWISU nhood_Sawyer nhood_SawyerW \\\n",
"Order PID \n",
"1 526301100 0 0 0 0 \n",
"2 526350040 0 0 0 0 \n",
"3 526351010 0 0 0 0 \n",
"4 526353030 0 0 0 0 \n",
"5 527105010 0 0 0 0 \n",
"\n",
" nhood_Somerst nhood_StoneBr nhood_Timber nhood_Veenker \n",
"Order PID \n",
"1 526301100 0 0 0 0 \n",
"2 526350040 0 0 0 0 \n",
"3 526351010 0 0 0 0 \n",
"4 526353030 0 0 0 0 \n",
"5 527105010 0 0 0 0 "
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[neighborhood.columns].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Nominal Features\n",
"\n",
"This section investigates the rest of the nominal variables with regard to which realizations / encoding might be a useful predictor."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Alley Type of alley access to property\n",
"Bldg Type Type of dwelling\n",
"Central Air Central air conditioning\n",
"Condition 1 Proximity to various conditions\n",
"Condition 2 Proximity to various conditions (if more than one is present)\n",
"Exterior 1st Exterior covering on house\n",
"Exterior 2nd Exterior covering on house (if more than one material)\n",
"Foundation Type of foundation\n",
"Garage Type Garage location\n",
"Heating Type of heating\n",
"House Style Style of dwelling\n",
"Land Contour Flatness of the property\n",
"Lot Config Lot configuration\n",
"MS SubClass Identifies the type of dwelling involved in the sale.\n",
"MS Zoning Identifies the general zoning classification of the sale.\n",
"Mas Vnr Type Masonry veneer type\n",
"Misc Feature Miscellaneous feature not covered in other categories\n",
"Roof Matl Roof material\n",
"Roof Style Type of roof\n",
"Sale Condition Condition of sale\n",
"Sale Type Type of sale\n",
"Street Type of road access to property\n"
]
}
],
"source": [
"print_column_list(set(NOMINAL_VARIABLES) - set([\"Neighborhood\"]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Alleys\n",
"\n",
"Almost no house has access to an alley."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=\"Gr Liv Area\", y=\"SalePrice\", hue=\"Alley\", s=15, data=df);"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"del df[\"Alley\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Building Type\n",
"\n",
"The type of a building clearly affects the valuation. The two types of townhouses as well as the 2-family condo and duplex type are summarized into a single category. This makes sense a) semantically, and b) by looking at the two sub-clusters in the scatter plot."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=\"Gr Liv Area\", y=\"SalePrice\", hue=\"Central Air\", s=15, data=df);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Use a new variable name to cleary show that the variable's *dtype* is changed from *str* to *int*."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"df[\"air_cond\"] = df[\"Central Air\"].apply(lambda x: 1 if x == \"Y\" else 0).astype(int)\n",
"del df[\"Central Air\"]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"new_variables.append(\"air_cond\")\n",
"interesting_variables.append(\"air_cond\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
" air_cond\n",
"Order PID \n",
"1 526301100 1\n",
"2 526350040 1\n",
"3 526351010 1\n",
"4 526353030 1\n",
"5 527105010 1"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[[\"air_cond\"]].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### \"Proximity to various Conditions\"\n",
"\n",
"The columns *Condition 1* and *Condition 2* have the same realizations and can be regarded as \"tags\" given to a house indicating the nearby presence of a) a major street, b) a railroad, or c) a park.\n",
"\n",
"The default tag \"Norm\" (implying no \"condition\") is given to 86% of the houses (this realization should therefore not be regarded as a tag!).\n",
"\n",
"From the comparison of the grouped scatter plots below, it can be assumed that the proximity of a major street decreases the valuation (lower regression slope through the cloud of blue and orange dots). Therefore, a factor variable *major_street* is extracted indicating the proximity of an \"artery\" or \"feeder\" street.\n",
"\n",
"Further, a factor variable *railway* is extracted as a relatively high proportion of the houses has such a tag. From the plots, a railway seems to not affect the valuations strongly.\n",
"\n",
"Lastly, a factor variable *park* is extracted. From the plots, this does not seem to affect the valuation much."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"List the \"raw\" realizations:"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Feedr 174\n",
"Artery 97\n",
"RRAn 48\n",
"PosN 43\n",
"RRAe 29\n",
"PosA 24\n",
"RRNn 11\n",
"RRNe 6\n",
"dtype: int64"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(df[\"Condition 1\"].value_counts() + df[\"Condition 2\"].value_counts()).sort_values(\n",
" ascending=False\n",
")[1:]"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"# Condition 2 is only filled with anything other than \"Norm\"\n",
"# if Condition 1 already has such a tag.\n",
"assert not ((df[\"Condition 1\"] == \"Norm\") & (df[\"Condition 2\"] != \"Norm\")).any()"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"86.0"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 86% of the houses actually have no tag.\n",
"round(100* (df[\"Condition 1\"] == \"Norm\").sum() / df.shape[0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From a simple scatter plot it is hard to see any significant impact by a predictor."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
],
"text/plain": [
" major_street railway park\n",
"Order PID \n",
"1 526301100 0 0 0\n",
"2 526350040 1 0 0\n",
"3 526351010 0 0 0\n",
"4 526353030 0 0 0\n",
"5 527105010 0 0 0"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[[\"major_street\", \"railway\", \"park\"]].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exterior\n",
"\n",
"This dimensions tells the main material with which the houses are made of. The category is too diverse and the various grouped scatter plots did not reveal differing slopes. For simplicity, this variable is dropped.\n",
"\n",
"This variable actually also represents tags that could be associated with a house (possibly up to two different tags)."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=\"Gr Liv Area\", y=\"SalePrice\", hue=\"Exterior 2nd\", s=15, data=df);"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"del df[\"Exterior 1st\"]\n",
"del df[\"Exterior 2nd\"]\n",
"# Also discard the associated ordinal variables.\n",
"del df[\"Exter Cond\"]\n",
"del df[\"Exter Qual\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Foundation\n",
"\n",
"The type of foundation appears to have an effect. However, only three of the six realizations occur in a large number. Factor variables *found_BrkTil*, *found_CBlock*, and *found_PConc* are extracted but not regarded as \"interesting\"."
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
],
"text/plain": [
" partial_sale abnormal_sale new_home\n",
"Order PID \n",
"1 526301100 0 0 0\n",
"2 526350040 0 0 0\n",
"3 526351010 0 0 0\n",
"4 526353030 0 0 0\n",
"5 527105010 0 0 0"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[[\"partial_sale\", \"abnormal_sale\", \"new_home\"]].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Street Name\n",
"\n",
"Looking at the value counts this variable is pretty useless."
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Pave 2886\n",
"Grvl 12\n",
"Name: Street, dtype: int64"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[\"Street\"].value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [],
"source": [
"del df[\"Street\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Age & Remodeling\n",
"\n",
"The dataset was put together over several years. Therefore, the variables with year numbers need to be aligned to indicate the right ages."
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [],
"source": [
"# For one house the year of being remodeled is one year\n",
"# before it was built. That input error is corrected.\n",
"input_error = (df[\"Year Remod/Add\"] < df[\"Year Built\"])\n",
"assert input_error.sum() == 1\n",
"df.loc[input_error, \"Year Remod/Add\"] = df.loc[input_error, \"Year Built\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Introduce a factor variable *remodeled*. Almost half the houses were remodeled at some point in time."
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"46.0"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"remodeled = (df[\"Year Remod/Add\"] > df[\"Year Built\"])\n",
"df[\"remodeled\"] = 0\n",
"df.loc[remodeled, \"remodeled\"] = 1\n",
"round(100 * remodeled.sum() / df.shape[0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create discrete variables *years_since_built* and *years_since_remodeled*."
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [],
"source": [
"df[\"years_since_built\"] = df[\"Yr Sold\"] - df[\"Year Built\"]\n",
"df[\"years_since_remodeled\"] = df[\"Yr Sold\"] - df[\"Year Remod/Add\"]"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[[\"years_since_built\", \"years_since_remodeled\"]].hist(bins=20);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Two factor variables *recently_built* and *recently_remodeled* are created indicating that the corresponding action took place in the last 10 years. The two scatter plots below suggest that these groups of \"recent vs. old\" affect the price."
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [],
"source": [
"df[\"recently_built\"] = df[\"years_since_built\"].apply(lambda x: 1 if x <= 10 else 0)\n",
"df[\"recently_remodeled\"] = df[\"years_since_remodeled\"].apply(lambda x: 1 if x <= 10 else 0)"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
],
"text/plain": [
" remodeled years_since_built years_since_remodeled \\\n",
"Order PID \n",
"1 526301100 0 50 50 \n",
"2 526350040 0 49 49 \n",
"3 526351010 0 52 52 \n",
"4 526353030 0 42 42 \n",
"5 527105010 1 13 12 \n",
"\n",
" recently_built recently_remodeled \n",
"Order PID \n",
"1 526301100 0 0 \n",
"2 526350040 0 0 \n",
"3 526351010 0 0 \n",
"4 526353030 0 0 \n",
"5 527105010 0 0 "
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[age_columns].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Outliers\n",
"\n",
"The instructors' notes state:\n",
"\n",
"> **Five observations** that an instructor may wish to remove from the data set before giving it to students (a plot of SALE PRICE versus GR LIV AREA will quickly indicate these\n",
"points). Three of them are true **outliers** (Partial Sales that likely don’t represent actual market values) and two of them are simply unusual sales (very large houses priced\n",
"relatively appropriately). I would **recommend removing any houses with more than\n",
"4000 square feet** from the data set (which eliminates these five unusual observations)\n",
"before assigning it to students.\n",
"\n",
"To apply a more \"rigorous\" approach, outlier detection is conducted with a so-called Isolation Forest."
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [],
"source": [
"# Use only numeric columns that are strongly correlated with the target.\n",
"# This mitigates the risk that a \"not so good\" chosen factor variable introduced\n",
"# in this notebook causes an observation to be removed as an outlier.\n",
"with open(\"data/correlated_variables.json\", \"r\") as file:\n",
" content = json.loads(file.read())\n",
"strongly_correlated = content[\"strongly_correlated\"]\n",
"df_encoded = encode_ordinals(df[list(set(strongly_correlated) & set(df.columns))])\n",
"iso = IsolationForest(\n",
" n_estimators=100, bootstrap=True, behaviour=\"new\",\n",
" contamination=0.005, random_state=random_state # random_state has no effect!\n",
")\n",
"outliers = pd.DataFrame(\n",
" iso.fit_predict(df_encoded), columns=[\"outlier\"], index=df.index\n",
")\n",
"outliers[\"outlier\"] = outliers[\"outlier\"].apply(lambda x: 1 if x < 0 else 0)\n",
"df = pd.concat([df, outliers], axis=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The five aforementioned outliers are among the ones detected."
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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