{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# The Economic Costs of Conflict\n", "### Abadie & Gardeazabel" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This notebook reproduces the weights from the 2003 paper \"The Economic Costs of Conflict: A Case Study of the Basque Country\" by Alberto Abadie and Javier Gardeazabal. The study data is contained in the file `../data/basque.csv` (more detailed information on this dataset is available on page 2 of the ``R`` ``synth`` package documentation [here](https://cran.r-project.org/web/packages/Synth/Synth.pdf))." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from pysyncon import Dataprep, Synth\n", "from pysyncon.utils import PlaceboTest" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We prepare the study data using a `Dataprep` object that describes all the details needed to define the synthetic control study. This works similarly to the `dataprep` method in the `R` package `synth`.\n", "\n", "(For an explanation of each of the `Dataprep` arguments, see the package [documentation](https://sdfordham.github.io/pysyncon/dataprep.html#pysyncon.Dataprep))." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataprep\n", "Treated unit: Basque Country (Pais Vasco)\n", "Dependent variable: gdpcap\n", "Control units: Spain (Espana), Andalucia, Aragon, Principado De Asturias, Baleares (Islas), Canarias, Cantabria, Castilla Y Leon, Castilla-La Mancha, Cataluna, Comunidad Valenciana, Extremadura, Galicia, Madrid (Comunidad De), Murcia (Region de), Navarra (Comunidad Foral De), Rioja (La)\n", "Time range in data: 1955.0 - 1997.0\n", "Time range for loss minimization: range(1960, 1970)\n", "Time range for predictors: range(1964, 1970)\n", "Predictors: school.illit, school.prim, school.med, school.high, school.post.high, invest\n", "Special predictors:\n", " `gdpcap` over `range(1960, 1970)` using `mean`\n", " `sec.agriculture` over `range(1961, 1970, 2)` using `mean`\n", " `sec.energy` over `range(1961, 1970, 2)` using `mean`\n", " `sec.industry` over `range(1961, 1970, 2)` using `mean`\n", " `sec.construction` over `range(1961, 1970, 2)` using `mean`\n", " `sec.services.venta` over `range(1961, 1970, 2)` using `mean`\n", " `sec.services.nonventa` over `range(1961, 1970, 2)` using `mean`\n", " `popdens` over `[1969]` using `mean`\n", "\n" ] } ], "source": [ "df = pd.read_csv(\"../data/basque.csv\")\n", "\n", "dataprep = Dataprep(\n", " foo=df,\n", " predictors=[\n", " \"school.illit\",\n", " \"school.prim\",\n", " \"school.med\",\n", " \"school.high\",\n", " \"school.post.high\",\n", " \"invest\",\n", " ],\n", " predictors_op=\"mean\",\n", " time_predictors_prior=range(1964, 1970),\n", " special_predictors=[\n", " (\"gdpcap\", range(1960, 1970), \"mean\"),\n", " (\"sec.agriculture\", range(1961, 1970, 2), \"mean\"),\n", " (\"sec.energy\", range(1961, 1970, 2), \"mean\"),\n", " (\"sec.industry\", range(1961, 1970, 2), \"mean\"),\n", " (\"sec.construction\", range(1961, 1970, 2), \"mean\"),\n", " (\"sec.services.venta\", range(1961, 1970, 2), \"mean\"),\n", " (\"sec.services.nonventa\", range(1961, 1970, 2), \"mean\"),\n", " (\"popdens\", [1969], \"mean\"),\n", " ],\n", " dependent=\"gdpcap\",\n", " unit_variable=\"regionname\",\n", " time_variable=\"year\",\n", " treatment_identifier=\"Basque Country (Pais Vasco)\",\n", " controls_identifier=[\n", " \"Spain (Espana)\",\n", " \"Andalucia\",\n", " \"Aragon\",\n", " \"Principado De Asturias\",\n", " \"Baleares (Islas)\",\n", " \"Canarias\",\n", " \"Cantabria\",\n", " \"Castilla Y Leon\",\n", " \"Castilla-La Mancha\",\n", " \"Cataluna\",\n", " \"Comunidad Valenciana\",\n", " \"Extremadura\",\n", " \"Galicia\",\n", " \"Madrid (Comunidad De)\",\n", " \"Murcia (Region de)\",\n", " \"Navarra (Comunidad Foral De)\",\n", " \"Rioja (La)\",\n", " ],\n", " time_optimize_ssr=range(1960, 1970),\n", ")\n", "\n", "print(dataprep)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We supply the `Dataprep` object to a `Synth` object. The optimisation scheme we use is [Nelder-Mead](https://docs.scipy.org/doc/scipy/reference/optimize.minimize-neldermead.html) and the starting point for the optimisation is `equal` i.e. with all weights equal. (Unlike the `R` package `synth` which performs four different runs under the hood (two different starting points and two different optimisation schemes), in this package only one optimisation is run per `fit`).\n", "\n", "*Nota bene that the weights obtained by the synthetic control method are often highly sensitive to the chosen optimisation scheme and starting point*." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Spain (Espana) 0.000\n", "Andalucia 0.000\n", "Aragon 0.000\n", "Principado De Asturias 0.000\n", "Baleares (Islas) 0.000\n", "Canarias 0.000\n", "Cantabria 0.000\n", "Castilla Y Leon 0.000\n", "Castilla-La Mancha 0.000\n", "Cataluna 0.851\n", "Comunidad Valenciana 0.000\n", "Extremadura 0.000\n", "Galicia 0.000\n", "Madrid (Comunidad De) 0.149\n", "Murcia (Region de) 0.000\n", "Navarra (Comunidad Foral De) 0.000\n", "Rioja (La) 0.000\n", "Name: weights, dtype: float64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "synth = Synth()\n", "synth.fit(dataprep=dataprep, optim_method=\"Nelder-Mead\", optim_initial=\"equal\")\n", "\n", "synth.weights()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The synthetic control obtained from the optimisation is: $$\\text{Synthetic Control} = 0.851 \\times \\text{Cataluna} + 0.149 \\times \\text{Madrid}.$$" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The `path_plot` method shows the path of the treated unit and the synthetic control over time." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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ciTLPWXx9uUt3x44d7N+/n8qVK/Px48cYvTZ79uyMHDkyUQfghoeHM2PGDNq0aUPOnDkTrd64kGRGCCGEAD58+ECVKlXw9/fH0tJSP3mroTVs2JDjx49ToUKFGM1MHxYWhrOzM1OnTk20y0sA3t7ePH78mNGjRydanXElyYwQwqjYWVliZ2WGizIJo/bp0yfq1q3L1atXSZUqVYLX5+bmxty5c9FoNOzdu5d9+/Z9db/jx4+TM2dO7t+/n+Ax/VtERATTpk3j559/pkCBAolad1xIMiOEMBrJrZNxc2Idbk6sY1brMgnjFhISQqNGjbh+/Tr79++naNGiiVq/t7c39evXZ/HixVG2BwcH07VrV7Jly0a2bNkSNabNmzdz7949k+iVASNem0kIIYRIDL169eLcuXPs37+fUqVKodVqE7V+b29vMmbMSN++fbl79y6zZs3C0tKS0aNH8/TpU/bs2ZOol5cCAwOZMGECderUoUSJEolWb3xIMiOEECJJGz16NF27dqVixYqq1G9paYmnpye5c+emf//+REZG0qJFC+bPn8+cOXPInTt3osXypZfq6dOn/Pnnn4lWb3xJMiOEMBqh2kh6/3ERgCXtS2ArY2dEAomMjGTmzJn069ePfPnyJertzt/Sp08fcuTIQc6cOfnw4QOdOnViwIABiVZ/eHg4LVq04MyZM+zfv58iRYokWt3xJcmMEMJo6BSFI7df6x8LkRB0Oh3du3fH29ubkiVLUqNGDbVD0qtTp47+8erVqxOt3sjISDp06ICfnx+7du3ip59+SrS6DUGSGSGEEEmGoij079+fNWvW4O3tbVSJjFp0Oh09evRg69atbNmyhVq1aqkdUqxJMiOEECJJUBSF4cOHs3jxYpYvX067du3UDkl1iqIwaNAgvLy88Pb2pkmTJmqHFCeSzAghhEgSNBoNadKk0a8ALT6v97RgwQKWLVtm0smdJDNCCCHMXmRkpP52Z/HZtGnTmDJlCrNmzYrzquDGQibNE0IIYfbq1q3LlClT1A7DaCxatIhRo0Yxbtw4hg4dqnY48SbJjBBCCLN25MgR/Pz8KFiwoNqhGIU1a9bQr18/hgwZwrhx49QOxyDkMpMQwmgkt07GP9Pqqx2GMCOKojBu3DhKlChBo0aN1A5HdVu2bKFr16707NmTWbNmodFo1A7JICSZEUIIYbYOHTrE8ePH2b17t9l8ccfV/v37adu2La1bt2bx4sVmdT7kMpMQQgizdeHCBcqXL0/dunXVDkVVQUFBdOnSherVq+Pl5ZWoaz0lBklmhBBGI1QbSZ91F+mz7iKh2ki1wxFmwN3dnaNHj5pVL0RczJkzh7dv37JkyRKsrKzUDsfgJJkRQhgNnaKw5+oL9lx9IcsZiHhRFIUtW7ag1WrN8ss7Nl68eMH06dPp378/2bJlUzucBCHJjBBCCLPj6+tLixYtOHXqlNqhqG78+PFYW1vz66+/qh1KgpEBwEIIIcyKoij89ttvVK5cmUqVKqkdjqpu3rzJ77//zowZM0idOrXa4SQYSWaEEEKYFR8fH65cuYK/v3+SHyszcuRIsmbNSt++fdUOJUFJMiOEEMJs6HQ6xo0bR40aNZJ8r4y/vz+7du1i48aN2NjYqB1OgpJkRgghhFkZMWIEefPmVTsMVel0OoYNG0bp0qVp2bKl2uEkOElmhBBCmA0LCwvat2+vdhiq27hxIxcuXODYsWNJ4lKb3M0khDAadlaW3JhQmxsTamNnZV6TeomEt3HjRlq3bo1Wq1U7FFWFhoYyevRoGjduzE8//aR2OIlCemaEEEZDo9GQ3Fo+lkTsRUREMG7cOPLkyZPk55VZuHAhT548Yf/+/WqHkmjkU0MIIYTJW79+PXfu3GHDhg1qh6Kqd+/eMXnyZHr27Jmkxg3JZSYhhNEIi4hk6Ka/GLrpL8IiZDkDETNarZYJEybQpEkTihcvrnY4qpo0aRKRkZGMHz9e7VASlfTMCCGMRqROYeulJwBMbFJQ5WiEqTh//jyPHz9m69ataoeiqvv377Nw4ULGjRtHhgwZ1A4nUUkyI4QQwqSVL1+ep0+fki5dOrVDUdXo0aPJkCEDgwcPVjuURCeXmYQQQpisa9euERoamuQTmbNnz7Jp0yYmTpxI8uTJ1Q4n0Rl9MvPp0ycGDRqEq6srdnZ2lC9fnvPnz6sdlhBCCJWFhYVRr149Bg0apHYoqlIUhWHDhlG4cGE6duyodjiqMPrLTN27d+fatWt4e3vj7OzMH3/8QY0aNbhx4waZM2dWOzwhhBAqWbVqFU+ePGHgwIFqh6IqHx8fTpw4wb59+7C0TJrzMxl1z0xISAhbt25lxowZVKpUiVy5cjF+/Hhy5crFkiVL1A5PCCGESsLCwpgyZQpt2rQhf/78qsXx9OlTbt68qVr9Wq2WkSNHUrNmTWrXrq1aHGoz6mQmIiKCyMhIbG1to2y3s7PjxIkTKkUlhBBCbb///jvPnj1j7NixqsXw8OFDSpcuTaFChRg5ciQhISGJHsOsWbO4d+8eM2fOTPS6jYlRX2ZycHCgXLlyTJw4kfz585MxY0Y2bNjA6dOnyZUr11dfExYWRlhYmP73gIAA4HP2mtSnuI6JL+dIzpVpMLf2SobCGfcq//+xzmyOC8yvrdSWNWtWRo0aRc6cOQ1+TmPSVs+fP6dmzZrY2dkxevRoZs6cybZt21i2bFmiLSFw9OhRxowZw7BhwyhQoIDZ/W3F5ng0iqIoCRhLvN2/f5+uXbty7NgxLC0tKV68OHny5OHixYtf7dobP348Hh4e0bavX78+SY7wFkIIYVifPn3i119/JSgoiClTppAxY0aePHnCokWLuHnzJnXq1KFjx44J+p3z9u1bhgwZQtasWRk/frxZjpUJDg6mbdu2fPz4EUdHx+/ua/TJzBdBQUEEBASQKVMmWrVqRWBgILt3746239d6ZlxcXHjz5s0PT4b4nAn7+flRs2bNJL++iSmQ9jId0laGERoaSt++fRk5ciR58uRJkDq+11afPn2iTp06PHz4kEOHDkUZr6PT6Vi6dCm//voradKkYeHChdStW9fg8YWHh1OjRg0eP37M2bNnzXaCvICAANKlSxejZMaoLzP9m729Pfb29rx//579+/czY8aMr+5nY2ODjY1NtO1WVlbyARILcr5Mi7m0V1hEJJN8P/e4jmmQH5tk5vffprm0lVqWLFnC+vXrGTt2bIKfx/+2VWhoKC1atOD27dscOXKEIkWKRHvNwIEDadKkCb169aJx48a0b98eT09Pg86DM3ToUC5evMixY8fM+q7e2LSvUQ8ABti/fz/79u3j4cOH+Pn5UbVqVfLly0eXLl3UDk0IYWCROgXvM//D+8z/iNSZRKexSEQhISFMnTqV9u3bkzt37kStW6vV0rp1a06dOoWvr+9314BydXVl7969rFmzht27d1OgQAE2bdqEIS6EbNiwgQULFuDp6UnZsmXjXZ65MPpk5uPHj/Tt25d8+fLRsWNHKlasyP79++U/GyGESGKWLVvG69evGTNmTKLWq9Pp6Nq1K7t372bbtm0xGuCr0Wjo2LEjN2/epHLlyrRq1YqmTZvy7NmzOMdx7do1unfvTrt27ejTp0+cyzFHRp/MtGzZkvv37xMWFsbz589ZuHAhKVOmVDssIYQQiUin07FgwQI6dOjwzbtZE4KiKPTv359169axbt26WI+ByZgxI5s3b2bbtm2cPXuWggUL4u3tHetemoCAAJo1a0aOHDlYtmwZGo0mVq83d0afzAghhBAWFhacPHmSKVOmJGq9Y8aMYfHixSxfvpyWLVvGuZymTZty/fp1GjRoQMeOHWnUqFGMe2kURaFLly68ePGCbdu2YW9vH+c4zJUkM0IIIYxaSEgIgYGBODk5kSlTpkSrd9asWUyZMoXZs2fTvXv3eJeXJk0avL292bFjBxcuXIhxL83s2bPZtm0ba9asSfSxQqZCkhkhhBBGbfHixeTJk4fg4OBEq3P//v2MHj2asWPHMmTIEIOW3ahRI65fv079+vXp2LEjjRs35vnz51/d19/fH3d3d0aOHEmTJk0MGoc5kWRGCCGE0QoKCmL69OnUr18/0SY+3bp1K0uXLqVv375fnYTVENKkScMff/yBj48P586do2DBgvzxxx9RemmePXtGq1atqFSpEpMmTUqQOMyFJDNCCKNhm8yS4yOqcnxEVWzNcI4ZEXuLFy/m/fv3/Prrr4lS38mTJ+ncuTMVK1Zk9uzZCT7QtnHjxly/fp26devSoUMHmjRpwvPnz9FqtbRs2ZJkyZKxceNGkiUzmWnhVCFnRwhhNCwsNLikkWVHxGeBgYHMmDGDrl27ki1btgSv786dOzRq1IgyZcrQv39/LCwS5//9tGnTsm7dOlq0aMEvv/xCwYIFKVeuHOfOncPf399sZ/g1JOmZEUIIYZRevnxJ/vz5GT16dILX9erVK+rWrau/lVqNucyaNGnC9evXqVOnDnv27MHT05Ny5colehymSHpmhBBGIzxCx6wDtwEYVisv1snk/62kLGfOnBw7dizB6wkODqZRo0YEBQVx6NAhUqdOneB1fkvatGlZv349M2fONOulCgxNPimEEEYjQqdj+bEHLD/2gAidTu1whIo2bdrEiRMnEryeyMhI2rdvz9WrV/H19U2Uy1kxIYlM7EgyI4QQwqh8+vSJ3r17s379+gSva+jQoezYsYONGzdSsmTJBK9PJAy5zCSEEMKoLFy4kMDAQEaNGpWg9cydO5d58+axaNEiGjZsmKB1iYQlPTNCCCGMRmhoKHPnzqVz5864uLgkWD3btm1jyJAhDB8+XBZtNAOSzAghhDAaa9eu5fXr1wwbNizB6jhz5gzt2rWjRYsWTJs2LcHqEYlHLjMJIYQwGs2aNSNVqlQJtgbRvXv3aNiwISVKlGDNmjWJNpeMSFjSikIIIYyCoiikTZs2XqtTf8+bN2+oV68eadKkYceOHdja2iZIPSLxSc+MEMJo2Caz5MDgSvrHIulQFIW6devSsmVLunbtavDytVotjRs35sOHD5w+fZq0adMavA6hHumZEUIYDQsLDXkyOpAnowMWFgm7Jo4wLsePH2f//v04OTklSPnz5s3jzJkz7Nixg5w5cyZIHUI9kswIIYRQ3YwZMyhUqBB169Y1eNnPnj3Dw8ODvn37yvIAZkouMwkhjEZ4hI5FR+4B0LdqLlnOIIm4du0au3fvZu3atQmySvWwYcNInjw5EyZMMHjZwjhIMiOEMBoROh3zDt0FoFflHFhL53GSsHPnTlxcXGjdurXByz5y5AgbNmxg9erVpEqVyuDlC+MgnxRCCCFUNXr0aC5dumTwlaq1Wi39+vWjfPnydOzY0aBlC+MiPTNCCCFUc//+fXLkyEG6dOkMXvaCBQu4desWFy9elPlkzJy0rhBCCFV8+PCBYsWKMX/+fIOX/ezZM8aNG0fv3r0pVqyYwcsXxkWSGSGEEKpYunQpWq2WVq1aGbzs4cOHY2dnx8SJEw1etjA+cplJCCFEogsNDWXevHl06tTJ4HPL+Pv7s379elatWkXq1KkNWrYwTtIzI4QQItH98ccfvHz5kqFDhxq0XK1Wq59PplOnTgYtWxgv6ZkRQhgNm2SW7OhbQf9YmC+NRkPPnj3JkyePQctduHAhN2/e5MKFCzLoNwmRZEYIYTQsLTQUdUmldhgiEXTr1o1u3boZtMznz58zbtw4fvnlF9zc3AxatjBukrYKIYRINIqiMG/ePJ49e2bwsocPH46NjQ2TJk0yeNnCuEnPjBDCaIRH6Fh98iEAXSpkl+UMzNCJEycYNGgQuXLlwtnZ2WDlHjt2jHXr1rFy5UoZ9JsESTIjhDAaETodU/feAqBDOVdZzsAMzZgxg4IFCxp0Qckvg37LlClD586dDVauMB2SzAghhEgU169fx9fXFy8vL4MOzl20aBHXr1+XQb9JmLS6EEKIRDFr1iwyZ85MmzZtDFbmixcv9IN+ixcvbrByhWmRnhkhhBCJol+/fjRr1gxra2uDlTlixAisra1l0G8SJ8mMEEKIRFGiRAmDlnfkyBG8vb1ZuXIladKkMWjZwrQY9WWmyMhIxo4dS/bs2bGzsyNnzpxMnDgRRVHUDk0IIUQMffz4kZ9++olLly4ZrMywsDB69+5NxYoVZdCvMO6emenTp7NkyRLWrFlDwYIFuXDhAl26dCFlypQMGDBA7fCEEELEwLJlyzh79qxB12CaNWsW9+/fZ8uWLTLoVxh3MnPq1CkaN25M/fr1AciWLRsbNmzg3LlzKkcmhEgINsks2dCjrP6xMH3h4eHMmzePDh06GGxemfv37zNp0iSGDh1KoUKFDFKmMG1Gnc6WL1+eQ4cOcefOHQD++usvTpw4YdD5CYQQxsPSQkO5nGkplzMtlhYatcMRBrB+/XqePXvGsGHDDFKeoij069ePjBkzMnbsWIOUKUyfUffMuLu7ExAQQL58+bC0tCQyMpLJkyfTrl27b74mLCyMsLAw/e8BAQHA50mVtFptgsds6r6cIzlXpkHay3Qk1bby9vamfv365MqVyyDHvmXLFvbt28f27duxtrZOkPOZVNvK2MTm/GsUIx5Nu3HjRoYPH87MmTMpWLAgV65cYdCgQcyZM+ebS7uPHz8eDw+PaNvXr19P8uTJEzpkIUQ8ROrg1KvPPTLlMyhYGnXfsYgJrVbLp0+fDHK3UVBQEP369SNv3ry4u7sbIDphzIKDg2nbti0fP37E0dHxu/sadTLj4uKCu7s7ffv21W+bNGkSf/zxB7du3frqa77WM+Pi4sKbN29+eDLE5w8ePz8/atasiZWVldrhiB8wt/YKDo+g6MTDAPw1thrJrY268zhWzK2tYuLly5dkzJjRYOUNHjwYLy8v/v77b1xcXAxW7n8lxbYyRgEBAaRLly5GyYxRf1IEBwdHG6VuaWmJTqf75mtsbGywsbGJtt3Kykr+KGNBzpdpMZf2slL+b5zM52My6o+oODGXtvqRs2fPUrFiRU6fPk3JkiXjXd6FCxdYsmQJM2fOJEeOHAaI8MeSSlsZq9ice6P+pGjYsCGTJ08ma9asFCxYkMuXLzNnzhy6du2qdmhCCCG+40vS4ebmFu+yIiMj+eWXXyhcuLBMyyG+yqiTmQULFjB27Fj69OnDq1evcHZ2plevXvz2229qhyaEEOIb7t69y7Zt21i6dCmWlvG/xX7JkiVcunSJU6dOkSyZUX9tCZUY9V+Fg4MDc+fOZe7cuWqHIoQQIobmzJlD+vTp6dixY7zLevbsGaNHj6Znz56ULVvWANEJcyT3CgghhDAYRVHQarUMHjwYW1vbeJc3ZMgQbG1tmTp1qgGiE+Yqzj0zhw4dwtPTk5s3bwKQP39+Bg0aRI0aNQwWnBBCCNOi0Wj4/fffDVLW/v37+fPPP/H29iZ16tQGKVOYpzj1zCxevJg6derg4ODAwIEDGThwII6OjtSrV49FixYZOkYhRBJhbWnBqs4lWdW5JNYyyYzJCQoKwtvbm/Dw8HiXFRISQt++falatep3J0oVAuLYMzNlyhQ8PT3p16+fftuAAQOoUKECU6ZMiTIvjBBCxFQySwuq5TPcvCQica1atYrBgwdTqVIlXF1d41XW1KlTefz4Mbt370ajkaUtxPfF6V+fDx8+UKdOnWjba9WqxcePH+MdlBBCCNMSERHBnDlzaNWqVbwTmVu3bjFt2jRGjhxJ3rx5DRShMGdxSmYaNWrE9u3bo23fsWMHDRo0iHdQQoikSRupY/OFx2y+8Bht5LcnxxTGZ8uWLfzzzz8MHz48XuUoisLAgQNxcXFh1KhRBopOmLs4XWYqUKAAkydP5ujRo5QrVw6AM2fOcPLkSYYOHcr8+fP1+8oER0KImNJG6hi+5W8A6hfJhJWMmzEJiqIwY8YMatWqRbFixeJV1t69ezlw4AA+Pj7Y2dkZJkBh9uKUzKxcuZLUqVNz48YNbty4od+eKlUqVq5cqf9do9FIMiOEEGZOURQGDRpE7ty541WOVqtl6NChVK1alUaNGhkoOpEUxCmZefjwoaHjEEIIYaIsLCwMMkHe0qVLuX37Nhs2bJBBvyJWpA9XCCFEnP3111+0adOGt2/fxquc9+/fM378eLp16xbvS1Ui6YnzpHlPnjxh586dPHr0KNqcAnPmzIl3YEIIIYzfzJkzOX36NClTpoxXORMmTCA8PJyJEycaKDKRlMQpmTl06BCNGjUiR44c3Lp1i0KFCvHPP/+gKArFixc3dIxCCCGMSHh4OFu2bGHZsmUcO3aM+fPnx2sByNu3b7Nw4UImTJiAk5OTASMVSUWcLjONGjWKYcOGcfXqVWxtbdm6dSuPHz+mcuXKtGjRwtAxCiGEMAKvX78GPg/U7dOnDxYWFmzYsCHeE6UOHz6czJkzM3jwYEOEKZKgOKXSN2/eZMOGDZ8LSJaMkJAQUqRIwYQJE2jcuDG9e/c2aJBCiKTB2tKCRW2L6x8L9YWFhbF9+3aWLVvG2bNnefr0KalTp+b+/fukTZs23uUfPHiQXbt28eeffxpkYUqRNMXp08Le3l4/TiZTpkzcv39f/9ybN28ME5kQIslJZmlB/SKZqF8kE8kkmVGVoiiMHj0aFxcX2rRpQ2RkJCtWrCB58uQABklkIiMjGTJkCBUqVJBefREvceqZKVu2LCdOnCB//vzUq1ePoUOHcvXqVbZt20bZsmUNHaMQQohEoNVq2b17Nw0aNCBZsmQ8evSItm3b0rNnTwoUKGDw+lauXMnVq1c5d+6c3Iot4iVOycycOXMIDAwEwMPDg8DAQP78809y584tdzIJIeIsIlLH/usvAahdMKP0ziSSR48esWLFCn7//XdevHjBkSNHqFKlCn/88UeC1fnx40fGjBlDhw4dKFWqVILVI5KGOCUzOXLk0D+2t7dn6dKlBgtICJF0hUfq6Lv+EgA3JtSWZCYRDBw4kIULF2Jvb0+HDh3o1asXRYoUSfB6p0yZQmBgIFOmTEnwuoT5i1Myc/78eXQ6HWXKlImy/ezZs1haWlKyZEmDBCeEEMKwnj9/zsqVK/n5558pUKAAFSpUoFChQrRp04YUKVIkSgwPHjxg7ty5jB49mixZsiRKncK8xenfnr59+/L48eNo258+fRrvW/SEEEIYlk6n4+DBgzRv3hwXFxemTp3KlStXAGjZsiU9evRItEQGYOTIkaRPn55hw4YlWp3CvMUpmblx48ZXJ8dzc3OLsvCkEEII9U2YMIGaNWty69Yt5s6dy9OnT2nbtq0qsRw7dowtW7YwdepU7O3tVYlBmJ84XWaysbHh5cuXUcbOwOfuy/jMAimEEF9otVqwls+TuLh06RKLFy+mZMmS/PLLL3Tq1Inq1atTsWJFVe8a0ul0DB48mFKlStGuXTvV4hDmJ049M7Vq1WLUqFF8/PhRv+3Dhw+MHj2amjVrGiw4IUTSEhgYpH9csWJFTp8+rWI0piU0NJS1a9dStmxZSpQowYEDB/T/XGbPnp2ffvpJ9duf165dy6VLl/D09MTCQgZ3C8OJ01/TrFmzePz4Ma6urlStWpWqVauSPXt2Xrx4wezZsw0doxAiCYiMjKRrly76322sbahQoQK//PIL79+/VzEy46bVaoHPM+l26tSJVKlS4ePjw4MHD+jevbvK0f2fwMBARo8eTcuWLalQoYLa4QgzE6dkJnPmzPz999/MmDGDAgUKUKJECebNm8fVq1dxcXExdIxCiCRg6NCh7N3jS8e8GmY2L8KJ4/7Mnz+f9evXky9fPtavX4+iKGqHaRTCwsLYtGkTtWrVokmTJgDUrVuXu3fvsm/fPho3bmx0l/ynTp3Ku3fvmD59utqhCDMU5792e3t7evbsachYhBBJ1KJFi5g3bx6LFi2iT5d6+u39+vWjadOmDBo0iHbt2uHl5cXixYvJlSuXitGq5/Xr10ydOpW1a9fy9u1bKlSoQI8ePQCwtLQ02vNy7949Zs2axciRI8mWLZva4QgzFOeLlrdv36Zfv35Ur16d6tWr069fP27dumXI2IQQScCePXsYMGAAgwYNok+fPtGez5w5M5s3b2b37t3cvXuXQoUKMWnSJMLCwlSINvF9+vSJEydOAGBlZcW2bdvo0qULN2/e5MSJE3Tq1EnlCH9s8ODBODk54e7urnYowkzFKZnZunUrhQoV4uLFixQtWpSiRYty6dIlChcuzNatWw0doxDCTP3999+0atWKBg0aMGvWLCIidRy+9ZLDt14SEamLsm+9evW4fv06gwYNwsPDg2LFiuHv769S5AlLURTOnDlD9+7dyZQpEw0bNiQ8PJxUqVLx4MEDZs6cSb58+dQOM0b27NmDr68vs2fP1i9SKYShxeky04gRIxg1ahQTJkyIsn3cuHGMGDGCZs2aGSQ4IYT5ev78OQ0aNCB37tysW7cOS0tLgsMj6Op1AYAuDlfRRIZja2ur/2ncuDHTpk2jbNmyjB49mipVqtCgQQNGjhxJ3rx5SZ8+PTrd5yTIVO+W+fTpExUqVODq1atkzZqV4cOH06VLF6ytrQHTOq6wsDAGDhxItWrV5HtBJKg4JTPPnz+nY8eO0ba3b9+emTNnxjsoIYR5CwoKomHDhuh0Onbt2kWKFCl4+/Ytc+YvAkoA4OOznVfPnhASEkJoaCihoaEUK1aMjBkzcvjwYW7evAmAr68vvr6+VK1alYMHD3Lp0iVKlSqFnZ0dyZMnx97enowZM3Lu3DkVj/j73r17x4YNG+jTpw8ODg40bdqUWbNmUb16dSwtLdUOL848PT35559/2LFjh+q3hQvzFqdkpkqVKhw/fjzaYLMTJ07w008/GSQwIYR5ioyMpH379ty6dYsTJ06QKVMmfv/9d9zd3YnAklTdVwFw8uRJkv9r0rx/38k0ceJEhg0bRmhoKE+ePGHmzJns27ePihUrMnnyZFasWEFQUBDBwcEEBwfrezM+fPhA/fr1GT16NPXr10/cA/+K+/fv4+npyerVq9HpdFSpUoWCBQvi4eGhdmjx9vTpUyZNmkT//v0pUKCA2uEIMxenZKZRo0aMHDmSixcvUrZsWQDOnDnD5s2b8fDwYOfOnVH2FUKIL0aOHMnOnTvZsWMHABUqVODMmTN06NCBCVOmUWXh5a++7t//2adMmZKUKVMCkCdPHqpVq4a/vz+9e/emZs2aDBgwAA8PDxwcHKKUERAQgJ2dHQ0aNKBevXp4enqSJ0+eBDrS7xswYAALFy4kbdq0jBgxgj59+pA+fXpVYkkIw4cPJ0WKFIwbN07tUERSoMSBRqOJ0Y+FhUVcijeojx8/KoDy8eNHtUMxCeHh4YqPj48SHh6udigiBkytvZYuXaoAyrx58xRFUZQ//vhDKVSokOLv768oiqIEhWkV15G+iutIXyUoTBvr8sPCwpSpU6cqdnZ2SubMmZUtW7YoOp0uyj46nU7ZunWrki1bNsXKykpZvHhx/A8sBkJCQpSRI0cqd+/eVRRFUdauXassW7ZMCQ4OTpT6E5O/v78CKKtXr1Y7lDgxtfeVuYrN93ecRpLpdLoY/URGRhoy7xJCmLD9+/fTp08fatSowd27dwFo27Ytly5dolKlSgapw9raGnd3d/1iuM2bN6d+/fo8ePBAv49Go+Hnn3/mxo0bjB07lqJFiwKf53D5MnjYUMLCwti7dy+//PILOXLkYPr06fqe6w4dOtCzZ0/s7OwMWqfaIiIi6N+/P2XLlv3q2EohEoLpDIsXQpisW7du0axZM1KmTMnBgwd5/fo1Wq0WjUaDlZWVwevLli0bO3fuxMfHh2vXrlGwYEEmTZpEeHi4fh87OzvGjh1L+fLlURSFBg0aUKFCBS5cuBCvut+9e6dft+7XX3+lXr16HDx4kFatWjFr1iz69+8fr/KN3bJly7h69SoLFiwwqTuvhGmL8ZiZ+fPnx7jQAQMGxCmYr8mWLRv/+9//om3v06cPixYtMlg9QoiEERAQQMWKFQkKCsLZ2ZnNmzdTvXr1r+5rZWnBhMYF9Y/jq3HjxtSoUYMJEybg4eHBrVu38Pb2jnZnjUajYfr06QwYMIDSpUvTvn17ypQpQ9++fYHPyZiNjQ1p06bFwcEh2usfPnzIjh072LFjB8ePH8fT05P+/fvTt29fOnfuTMGCBYmIiGDPnj3xPiZj9vr1a8aMGUO3bt0oWbKk2uGIpCSm166yZcsW5cfe3l7RaDRK6tSpldSpUysajUaxt7dXsmfPHp9LZNG8evVKef78uf7Hz89PAZQjR47E6PUyZiZ25FqxaTH29oqMjFSaNGmiWFtbK/3791fCwsJUi2XDhg0K8N0xMlqtVlm4cKGSPXt2xdnZWb89T548CqAAipWVlZIxY0bl0KFDiqIoyogRIxRAsba2VurUqaMsWbJEefbsWbSyjb2tDKFHjx5KqlSplFevXqkdSrwkhbYyBbH5/o5xz8zDhw/1j9evX8/ixYtZuXIlefPmBT4vb9CjRw969eplwFSLaKP7p02bRs6cOalcubJB6xFCGE5oaCjjx4/nr7/+Yt++fezYsUP1Oxtbt27NyZMnGTRoECVLlqRUqVLR9kmWLBl9+/bV98h8sWXLFl6+fMnbt2/1P66urgA0bdqUkiVLUqdOnWh3TyUlFy5c4Pfff2fevHlmdVeWMBFxyZZy5MihXLp0Kdr2CxcuKNmyZYtLkTESFhampE2bVpk8eXKMXyM9M7Ej/5GYFmNsr1OnTin58uVTkiVLpgDK2LFjY/zaiEidcureG+XUvTdKRKTuxy+IpbCwMKVMmTJK1qxZlTdv3hi8/O8xxrYylMjISKVs2bJK4cKFFa029nehGRtzbitTkiA9M//2/PlzIiIiom2PjIzk5cuX8cuuvsPHx4cPHz7QuXPnb+4TFhYWZQG6gIAAALRaLVqtNsFiMxdfzpGcK9NgTO2l1WoZM2YMc+fOpXDhwiRPnpwKFSrw66+/xji+4PAI2qw4A8BfY6tFmTTPEDQaDevWraNMmTK0b98eHx+fRBukakxtZWhr167lzJkzHDx4EEVRTP4YzbmtTElszr9GUf41rWYMNWzYkKdPn/L7779TvHhxAC5evEjPnj3JnDlzlEnzDKl27dpYW1uza9eub+4zfvz4r86euX79elnkTIgEpCgK06dPJ2fOnJw4cYKwsDBmzZpFihQpYlxGWCSMOPc5gZlROgKbBJrJ//Lly0yYMIE2bdrQsmXLhKkkiQgKCqJv374UKlSIYcOGqR2OMCPBwcG0bduWjx8/4ujo+N1945TMvH79mk6dOrFv3z79bZVarZY6deqwevVqMmbMGLfIv+N///sfOXLkYNu2bTRu3Pib+32tZ8bFxYU3b9788GSIz+3o5+dHzZo1E+SWWWFYardXUFAQY8eOpWbNmtStWxedTkfnzp3ZuXMnx48fp3DhwrEqLzg8gqITDwMJ0zPzbxMmTGDy5Mns2bPnm3dXGZLabZVQRowYwfLly7l27RpZsmRROxyDMNe2MjUBAQGkS5cuRslMnD4p0qdPz549e7h7965+sbd8+fIl6LTgq1evJkOGDD9cT8XGxgYbG5to262srOSPMhbkfJkWNdorMDCQn376ifv37+Pm5oaVlRVz585l48aNbNiwQd9rGxtWyv/d8vz5mBIumRk/fjznzp2jQ4cOXL58OdG+iM3lvaXT6Zg+fTrz589n4sSJZM+eXe2QDM5c2spUxebcx+mTYsiQIdG2HT16FI1Gg62tLbly5aJx48akSZMmLsVHo9PpWL16NZ06dSJZsoT7cBNCxIyiKPTp04eHDx9y9uxZChcujL+/P8OGDWPo0KG0bt1a7RB/yNLSknXr1lG8eHFatmzJ0aNHsba2Vjssk/DmzRs6dOjA/v37GT16NCNHjlQ7JJHExSkzuHz5MpcuXSIyMlJ/a/adO3ewtLQkX758LF68mKFDh3LixAmDrJZ68OBBHj16RNeuXeNdlhAi/ry9vfU/hQsX5smTJ7Rs2ZLKlSszbdo0tcOLsXTp0rFp0yYqVarEiBEjmDt3rtohGb2TJ0/SqlUr/VINtWvXVjskIeK2nMGXWTWfPXvGxYsXuXjxIk+ePKFmzZq0adOGp0+fUqlSJQYPHmyQIGvVqoWiKKqtbiuEiKpq1arMnDmT9u3bExYWRrNmzbC1tWXjxo0m13tatmxZZs+ezbx589i0aZPa4RgtnU7HjBkzqFy5Mjly5ODKlSuSyAijEadPnZkzZ+Ln5xdlQE7KlCkZP348tWrVYuDAgfz222/UqlXLYIEKIdQXHBxMWFgYLi4u+jtX+vXrx19//cWJEyfiPVlaMgsLRtXNp3+cWPr168epU6fo1q0bRYoUIV++fIlWtyl4+/YtnTp1Yvfu3bi7uzNx4kSTS1qFeYvTp8XHjx959epVtO2vX7/Wz+uSKlWqKIu6CSFMX79+/ahYsaJ+nqnly5fz+++/s2TJEoOsxWOdzIJelXPSq3JOrJMlXjKj0WhYsWIFWbJkoXnz5gQFBSVa3cbu9OnTuLm5cebMGfbs2cPUqVMlkRFGJ86Xmbp27cr27dt58uQJT548Yfv27XTr1o0mTZoAcO7cObksJIQZ8fb2ZvXq1QwfPpxkyZKxb98++vbtS+/evenSpYva4cVbihQp2Lp1K//88w+9evUiDrNWmBVFUZg9ezaVKlXCxcWFy5cvU7duXbXDEuKr4pTMLFu2jOrVq9O6dWtcXV1xdXWldevWVK9enaVLlwKfb9X+/fffDRqsEEIdt27donfv3nTs2JHOnTtz5swZmjVrRr169Zg/f77B6onUKfz1+AN/Pf5ApC7xk4kCBQqwYsUK1q1bR82aNbl3716ix2AM3r17R+PGjRk2bBiDBw/m6NGjuLi4qB2WEN8Up77CFClSsGLFCjw9PXnw4AEAOXLkiDLTZ7FixQwSoBBCXTqdjjZt2pA1a1YWL17MjRs3qF+/PsWLFzf4gN+wiEgaLzoJwI0JtRN00rxvadOmDalTp6Z3794ULlyYsWPHMmzYsCRz2/axY8fo0KEDnz59YteuXTRo0EDtkIT4oXhdlE6RIgVFihShSJEisZqyXAhhOiwsLJg7dy6bNm3i7du31K5dm8yZM7Nr1y7s7OzUDi9B1KlTh2vXrtGvXz9+++03SpQowenTp9UOK0F9WVuratWquLq6cuXKFUlkhMlIvBF2QgiTc/XqVSIjI6lcuTJOTk7Url1bP14mVapUaoeXoOzt7Zk5cyYXLlzA1taWChUq0KdPHz5+/Kh2aAZ37949KlasyLRp05g4cSJHjhwha9asaoclRIxJMiOE+Ko7d+5Qvnx5Zs+eTWBgIPXr1+ft27ccOHAAZ2dntcNLNMWKFePMmTN4enri7e1N/vz52bp1q1kMEFYUBS8vL9zc3Hj79i2nTp1i9OjRWFom0AqfQiQQSWaEENGEhobSsmVLMmfOTPfu3WnevDk3btxg79695M6dW+3wEp2lpSUDBw7kxo0blCpViubNm9O4cWMeP36sdmhx9v79e1q1akWXLl1o0aIFly9fpnTp0mqHJUScSDIjhIhm8ODB3L59m40bN9KvXz+OHDnCjh07KFGihNqhqcrFxQUfHx+2bt3KhQsXyJ8/P9OmTePZs2dqhxYr/v7+FClSBD8/PzZt2sSqVatwcHBQOywh4kySGSFEFEePHmXp0qXMnTuXVatWsXHjRtatW0e1atXUDs0oaDQafv75Z27evEmnTp0YO3YsWbJk4aeffmLevHk8efJE7RC/SavVMnr0aKpWrUrOnDn5+++/adGihdphCRFvkswIIaKoXLkye/bs4fXr1yxYsIDFixfTvHnzRKk7mYUFA6vnZmD13Im6nEFcpEyZkkWLFvHq1StWr15NypQpGT58OC4uLpQvXx5PT08ePXqkdpjA51WufX19KV++PDNnzmTKlCkcOnRI5o4RZkPmpBZCABAREcGZM2eoWLEijx8/ZuzYsXh4ePDLL78kWgzWySwYXNO0Zg5PnTo1nTp1olOnTnz8+JGdO3eyZcsW3N3dGTJkCGXKlNGPsUkMYWFhXL58mbNnz+p/vswHli9fPk6dOkWpUqUSJRYhEoskM0IIAKZOnYqHhwcLFy6kb9++9O3bl7Fjx6odlklJmTIlHTp0oEOHDgQEBODr68vmzZsZM2YMw4cPJ1u2bPj7+1OrVi1++ukn7O3t41Wfoijcv38/SuJy5coVwsPDsba2pnjx4jRs2JAyZcpQtmxZsmXLhkajMdDRCmE8JJkRQnDmzBk8PDzo2LEjgwcPplmzZsybNy/Rv/h0OoV7rwMByJU+BRYWpvvF6+joSNu2bWnbti2fPn1ix44drFq1ij///BNPT0+sra0pX748NWrUoEaNGpQoUeK7symHh4dz8+ZNLl++zOXLl7ly5QpXrlzRL+6bK1cuypQpQ/v27SlbtixFixZNMrMWCyHJjBBJXEBAAO3ataNIkSL4+vri5ubG2rVrVZlrJDQiklqexwD1ljNICA4ODrRq1QoHBwfq1q3L/fv3OXjwIAcPHmT69OmMGTOGlClTUrVqVWrUqEGVKlV4//69Pmm5fPky169fJzw8HIDcuXNTrFgx3N3dKVasGKVLlyZt2rQqH6UQ6jGPTwohRJxNnjyZ169fY2FhgYODAzt27MDW1lbtsMyWRqMhf/785M+fn/79+xMREcH58+c5ePAgfn5+DBo0iIiICACsra0pVKgQbm5udO3alWLFilG0aFG5jVqI/5BkRogkzt3dncOHD3Pv3j1Onz5N+vTp1Q4pSUmWLBnlypWjXLlyjB07lsDAQM6ePUu6dOnInz+/XCoSIgYkmREiiXr06BFhYWHMmDGDK1eucODAAfLly6d2WEleihQpqF69utphCGFSJJkRIgmKiIigXbt23L17l5cvX7J69WqqVq2qdlhCCBEnkswIkQRNmzaNkydPoigKv/76K507d1Y7JCGEiDNJZoRIYs6cOcP48eOxsLCgRYsWTJgwQe2QhBAiXiSZESIJURSFbt26odFoKFmyJKtXr8bCiJYNSGZhQc9KOfSPhRAiJiSZESIJ+fjxI+Hh4WTKlImdO3ca3S3Y1sksGF0vv9phCCFMjPzrI0QSceLECZo2bcqbN284cOCA3IIthDAb0jMjRBJw9epVqlevTkREBIcOHTLaW7B1OoWnH0IAyJzKzqSXMxBCJB7pmRHCjGm1Wnr16kXRokUJDw9nwYIFVKlSRe2wvik0IpKfZhzhpxlHCI2IVDscIYSJkJ4ZIcyQoigcOHCAVq1a8fHjRzJkyMDChQtp0aKF2qEJIYTBSc+MEGZEURR8fHwoXbo0derUIW3atMycOZMXL15IIiOEMFvSMyOEGdDpdGzZsoUxY8Zw+/ZtnJ2d2b9/PzVr1kSjkXEnQgjzJsmMECYsIiICf39/3N3duXXrFhYWFmTOnJmNGzdSsWJFtcMTQohEIcmMECbo2bNneHt7s2LFCu7fv0/q1KnRaDT079+fKVOmkDx5crVDFEKIRCPJjBAmIjw8nF27drFq1Sr27duHlZUVTZs2pXfv3rx7947atWtTqVIltcMUQohEJ8mMEEbur7/+YtWqVaxbt463b99SpkwZRo0axb59+6hevTrp06enXr16WFlZqR1qvFlaaOhQ1lX/WAghYkKSGSGM0Lt371i/fj2rVq3i8uXLZMyYkS5dutCyZUs2btzItGnTyJcvH3ny5OH9+/dqh2swNsksmdikkNphCCFMjNyaLYQRiYiIoE+fPmTKlInBgwfj6urKjh07ePz4Mb/88gvNmjVjyZIlTJo0iUuXLlGuXDm1QxZCCNUZfTLz9OlT2rdvT9q0abGzs6Nw4cJcuHBB7bCEMDitVkubNm1YsWIFHh4ePH36lO3bt1OlShWsrKzIli0bzZs35/r167i7u2Ntba12yAanKApvA8N4GxiGoihqhyOEMBFGncy8f/+eChUqYGVlxd69e7lx4wazZ88mderUaocmhEGFh4fTqlUrduzYwZYtW3B3dydNmjTMmTMHFxcXzp8/j6WlJXPmzCF79uxqh5tgQrSRlJh0kBKTDhKileUMhBAxY9RjZqZPn46LiwurV6/WbzPnD3KRNIWFhdGiRQv279/P9u3bqV+/PufOnaNXr1789ddf9OvXj7x586odphBCGC2jTmZ27txJ7dq1adGiBf7+/mTOnJk+ffrQo0ePb74mLCyMsLAw/e8BAQHA5y58rVab4DGbui/nSM5V4ggNDaVVq1YcPnyYrVu3UqtWLZYsWULfvn0pVqwYp06dokSJEsDX28Tc2kurjfjXYy1ajflcajK3tjJn0lbGITbnX6MY8YVpW1tbAIYMGUKLFi04f/48AwcOZOnSpXTq1Omrrxk/fjweHh7Rtq9fv14mEhNGJSwsjKlTp3Ljxg1Gjx5NsWLFAAgKCuLUqVNUq1YNS0tLdYNMZGGRMOLc5/+xZpSOwCZpHb4Q4l+Cg4Np27YtHz9+xNHR8bv7GnUyY21tTcmSJTl16pR+24ABAzh//jynT5/+6mu+1jPj4uLCmzdvfngyxOdM2M/Pj5o1a5rFvCXGKjg4mJ9//pkzZ86wfft2KleuzLhx4+jUqRO5cuWKcTnm1l7B4REUnXgYgL/GViO5tVF3HseKubWVOZO2Mg4BAQGkS5cuRsmMUX9SZMqUiQIFCkTZlj9/frZu3frN19jY2GBjYxNtu5WVlfxRxoKcr4QTFBREkyZNOH/+PHv27OGnn36iV69erFy5Ejc3N/Lnzx/rMs2lvayU/5so7/MxGfVHVJyYS1slBdJW6orNuTfqT4oKFSpw+/btKNvu3LmDq6urShEJET+fPn2ifv36XL58mX379lG+fHl69uzJqlWr8PLyolWrVmqHKIQQJseok5nBgwdTvnx5pkyZQsuWLTl37hzLly9n+fLlaocmRKwFBARQt25drl27xoEDByhXrhx9+vRh1apVrFmzhg4dOqgdouosLTQ0K55F/1gIIWLCqJOZUqVKsX37dkaNGsWECRPInj07c+fOpV27dmqHJkSsfPz4kdq1a3Pr1i38/PwoXbo0AI0aNaJ8+fK0b99e5QiNg00yS2a3LKp2GEIIE2PUyQxAgwYNaNCggdphCBFnHz9+pFatWty9e5dDhw7h5uam74mpU6eO2uEJIYTJM+oZgIUwdZ8+faJu3brcuXOHgwcP4ubmRvfu3enatStnz55VOzyjoygKweERBIdHyHIGQogYM/qeGSFMVWBgIPXq1eP69escPHiQokWL0q1bN9auXcvatWtlkcivCNFGUuC3/QDcmFDbrG7NFkIkHPmkECIBBAcH07BhQ/766y8OHDhA8eLF6d69O2vXrsXb25u2bduqHaIQQpgNucwkhIGFhITQqFEjzp8/z969eylbtiwAkZGRksgIIUQCkJ4ZIQwoNDSUJk2acPr0afbu3Uu5cuW4desW+fLlY+3atWqHJ4QQZkl6ZoQwkLCwMJo1a8bx48fx9fXlp59+om/fvpQqVYrXr1+rHZ4QQpgt6ZkRwgDCw8Np0aIFhw4dwtfXlypVqjBgwACWLl3KypUrSZ8+vdohCiGE2ZJkRoh40mq1tG7dmv3797Njxw6qV6/O0KFDWbhwIcuWLaNr165qhyiEEGZNkhkh4iEiIoJ27drh6+vL9u3bqVOnDi9evGDDhg0sXLiQnj17qh2iSbHQaKhX2En/WAghYkKSGSHiKCAggF9++YXt27ezZcsW6tWrR3h4OE5OTty8eZNUqVKpHaLJsbWyZHG7EmqHIYQwMZLMCBELd+/exdfXF19fX44dOwbAxo0bady4MePHj+fo0aP4+flJIiOEEIlIkhkhviM8PJwTJ07g6+vL7t27uXPnDjY2NlSrVo158+bRoEEDsmbNyuTJk/Hw8GDq1KlYWVmpHbYQQiQpkswI8R+vX79mz5497N69m/379xMQEEDmzJmpX78+s2bNolq1atjb2+v3nzFjBmPGjGHChAm4u7urGLnpCw6PkOUMhBCxJp8UQgDv379n27ZtbNy4kcOHD6MoCqVLl2b48OE0aNCAokWLovnKgNSzZ88ycuRIxo4dy9ixY1WIXAghhCQzIskKCgpi165dbNiwgb179xIREUHVqlVZunQpjRs3JkOGDF993Z07d/Dx8WHgwIGUKVOGo0ePUqlSpUSOXgghxBeSzIgkJSwsjH379rFx40Z27txJcHAwZcqUYebMmbRs2ZJMmTJ99XVXrlxh27ZtbNu2jevXr5M8eXJq1KhB8eLFqVy5ciIfhRBCiH+TZEYkCadOnWLlypVs27aNDx8+ULhwYcaMGUOrVq3IkSNHtP11Oh3nzp2jTJkyaDQaevTowf3792nUqBFTpkyhZs2a2NnZqXAkQggh/kuSGWHWrl+/zqhRo9i1axc5cuSgb9++tGnThoIFC0bbV1EUTp8+zR9//MH27dt58eIFFy9epHjx4mzZsgVnZ2e5U0kIIYyQJDPCLD158oRx48bh5eWFq6sr69evp1WrVlhYfHtt1erVq3PkyBFcXFxo164dTZs2pWjRogC4uromVuhCCCFiSZIZYVY+fPjAtGnTmDdvHilSpMDT05NffvkFa2vrKPsFBgaydetW1q5di5eXFy4uLvTu3ZsxY8ZQpUqV7yY9IuFYaDRUzZte/1gIIWJCkhlhFsLCwli0aBGTJ08mNDSUYcOGMXz4cBwdHaPs5+/vz8qVK9m6dSvBwcFUrVqV9+/f4+LiQosWLVSKXnxha2XJ6i6l1Q5DCGFi5N9PYdJ0Oh3e3t7kzZuXESNG0KJFC+7du8fEiRNxdHQkNDSUgwcP8uHDBwBWrFjB6dOnGTVqFP/88w+HDx+mSJEi6h6EEEKIeJGeGWGyjhw5wuDBg/nrr79o2rQp+/btI1++fNy4cYMNGzZw4MAB/P39CQ0NZfPmzTRv3pwlS5aQIkWKr06AJ4QQwjRJz4wwOc+fP6ddu3b6ZQV8fX1p1qwZ2bNnB2Do0KH8+uuvAEyePJmrV6/SrFkzABwcHCSRMWLB4RHkH7uP/GP3ERweoXY4QggTIT0zwmRERESwePFixo4di6WlJY0aNeLRo0c0aNAAgBw5clCuXDmWL19O+vTpsbW1VTliERch2ki1QxBCmBjpmREm4fTp0xQsWJCBAwfSrl07XFxcOHbsGIUKFcLb25vnz59Trlw5AFxcXCSREUKIJER6ZoTRUhQFPz8/hg8fzt9//w3AH3/8Qbt27Xj48CGZM2eOdsu1EEKIpEeSGWGUdDodefLk4f79+2g0GipWrMjYsWOpVq0agH58jBBCCCHJjDAq8+fPJ1++fIwfP5779+9Ts2ZNvLy8cHZ2Vjs0IYQQRkqSGWE0PDw8GD9+PBqNhvz583P06FFZkVoIIcQPSTIjjMKECRMYP348NjY21K5dmy1btsiijkmQhUZDmexp9I+FECImJJkRqps8eTLjxo3DycmJFClSsHbtWklkkihbK0v+7FVO7TCEECZGbs0WqsubNy/FihUjICCAbdu2kTJlSrVDEkIIYUIkmRGqOXToEIqi8PLlS65cucLvv/9O4cKF1Q5LCCGEiZFkRqhi6tSp1KhRg7lz5zJo0CAGDhxImzZt1A5LqCw4PILiE/0oPtFPljMQQsSY0SczX+5u+fdPvnz51A5LxMP06dMZPXo0w4YNY9asWZQpU4aZM2eqHZYwEu+CwnkXFK52GEIIE2ISA4ALFizIwYMH9b8nS2YSYYuvmDFjBu7u7owZM4Zjx46h0+nYvHmzDPgVQggRZyaRFSRLlgwnJye1wxDxpNPpOHnyJL/99htBQUGcOnWKw4cPkylTJrVDE0IIYcJMIpm5e/cuzs7O2NraUq5cOaZOnUrWrFm/um9YWBhhYWH63wMCAgDQarVotdpEideUfTlHhj5Xr169IkOGDGzcuJHt27fTrl07Zs+eTdmyZaVd4iGh2kstWm3Evx5r0WoUFaMxLHNrK3MmbWUcYnP+NYqiGPWnxd69ewkMDCRv3rw8f/4cDw8Pnj59yrVr13BwcIi2//jx4/Hw8Ii2ff369SRPnjwxQhb/ceDAAby8vJg3bx6hoaEMHz6cUqVKMWTIEDQyMZr4l7BIGHHu8/9YM0pHYGOpckBCCNUEBwfTtm1bPn78iKOj43f3Nfpk5r8+fPiAq6src+bMoVu3btGe/1rPjIuLC2/evPnhyRCfM2E/Pz9q1qxpkHEs27dvp02bNvTq1YsJEyZQoUIFkiVLxokTJ0iRIoUBIk7aDN1eagsOj6DoxMMA/DW2GsmtTaLzOEbMra3MmbSVcQgICCBdunQxSmZM7pMiVapU5MmTh3v37n31eRsbG2xsbKJtt7Kykj/KWDDE+Tpy5AgdOnSgRYsWLFiwgJYtW/LixQvOnz9P6tSpDRSpAPP5+7bBgiJZPk+aaGNtjZWV+XXNmEtbJQXSVuqKzbk3uWQmMDCQ+/fv06FDB7VDEd8RHh5O586dqVKlCmvXrmXOnDls27YNHx8f8uTJo3Z4wkjZWlmys19FtcMQQpgYo09mhg0bRsOGDXF1deXZs2eMGzcOS0tLmWDNyFlbW7N3716yZs3KhQsXGDVqFO7u7jRu3Fjt0IQQQpgZo58078mTJ7Rp04a8efPSsmVL0qZNy5kzZ0ifPr3aoYmvePbsGb179yYkJIQCBQoQGRlJu3btKF26NBMnTlQ7PCGEEGbI6HtmNm7cqHYIIobev39P7dq1+fDhA2PGjMHZ2ZnevXvz7t07Dh8+LJMdih8KCY+kxhx/AA4OqYydtfmNmRFCGJ58uwiDCA4OpmHDhjx79owTJ06QOXNmvL292bBhA+vWrSN79uxqhyhMgILC0w8h+sdCCBETksyIeIuIiKBVq1ZcuXKFQ4cOkT9/fu7fv0/fvn3p0KEDbdu2VTtEIYQQZszox8wI42dpaUmJEiXYtm0bZcqUQavV0q5dO9KnT8/ChQvVDk8IIYSZk54ZEWeKonD16lWKFCnC+PHj9ds9PDy4cOECJ0+elIkKhRBCJDjpmRFx5unpiZubG9evX9dv8/f3Z8qUKUyYMIEyZcqoGJ0QQoikQpIZESdXr17F3d2dIUOGULBgQQDevXtH+/btqVSpEiNHjlQ5QiGEEEmFXGYSsRYREUGXLl3InTs3kyZNAj5fcurVqxeBgYF4e3tjaSm31IrY06Ahd4YU+sdCCBETksyIWFu0aBGXL1/m1KlT+nWwVq1axZYtW9i8eTMuLi4qRyhMlZ21JX5DKqsdhhDCxEgyI2Ktc+fOZM6cWT8m5vbt2wwYMIDu3bvTvHlzlaMTQgiR1MiYGRFjkZGRPH/+nJQpU+qTlrCwMNq0aUOWLFmYO3euugEKIYRIkiSZETE2f/58ChQowNu3b/XbxowZw7Vr11i/fj329vYqRifMQUh4JDXn+FNzjj8h4ZFqhyOEMBFymUnEyL179/j111/p0aMHadOmBeDgwYPMmjWLmTNnUqJECZUjFOZAQeHuq0D9YyGEiAnpmRE/pNPp6NatG5kyZWLKlCkAPHr0iLZt21KjRg2GDBmicoRCCCGSMumZET+0dOlSjh07xuHDh7G3tyc4OJgmTZqQPHlyNmzYgIWF5MRCCCHUI8mM+KGqVasyZ84cqlatiqIodO/enVu3bnHq1CnSpUundnhCCCGSOElmxDcpikJ4eDj58+cnf/78AMyaNYsNGzawceNGihUrpm6AIknR6XSEh4erHUacabVakiVLRmhoKJGRMrjZmElbJQ4rKyuDTbAqyYz4ppUrVzJ79mzOnTuHg4MD+/fvx93dHXd3d1q1aqV2eCIJCQ8P5+HDh+h0OrVDiTNFUXBycuLx48doNDK7sTGTtko8qVKlwsnJKd7nWZIZ8VVPnjxh6NChNGvWDAcHB+7du0fr1q2pXbu2fgkDIQxNg4bMqez0j+HzF8vz58+xtLTExcXFZMdo6XQ6AgMDSZEihckeQ1IhbZXwFEUhODiYV69eAZApU6Z4lSfJjIhGURT69OlDihQpmDNnDp8+faJx48ZkyJCB9evXy7pLIsHYWVty0r1alG0REREEBwfj7OxM8uTJVYos/r5cJrO1tZUvSCMnbZU47Ow+/+Py6tUrMmTIEK/vFklmRDRHjx5l37597Nq1C0dHR5o1a8bjx485e/YsqVKlUjs8kcR8GbNgbW2tciRCCEP78g+KVquVZEYYloODAwMHDqRBgwZ4eHiwY8cOduzYoR8ELIQaZOyCEObHUO9rSWaEnk6nQ1EUSpYsSb169fDx8WH8+PFMnDiRhg0bqh2eSAJCtZG0XHYagE29ymFrJZc0hRA/JhcDhd6cOXNo3rw5kZGRXL9+nQ4dOtCsWTN+/fVXtUMTSYROUfj7yUf+fvIRnSLLGQjjMnbsWHr27Gmw8ry8vMz60n3r1q2ZPXt2otQlyYwA4Pz584waNYrcuXMTEhJCixYtyJ49O15eXtK9L0QcdO7cGY1Go/9Jnz49zZs35++//1Y7NIO5d+8eXbp0IUuWLNjY2JA9e3batGnDhQsXEjWOf/75B41Gw5UrVxKsjhcvXjBv3rwo/9z9u42tra3JlSsXEyZMICIiIkZltmrVijt37sQ6lvDwcNKlS8e0adO++vzEiRPJmDEjWq021mUb0pgxY5g8eTIfP35M8LokmREEBATQunVr3NzcGDduHLNmzeLdu3f4+PiQIkUKtcMTwmTVqVOH58+f8/z5c/z8/LC0tKRRo0Zqh2UQFy5coESJEty5c4dly5Zx48YNtm/fTr58+Rg6dKja4X1VfCZd/P333ylfvjyurq5Rtn9p47t37zJ06FDGjx/PzJkzY1SmnZ0dGTJkiHUs1tbWtG/fntWrV0d7TlEUvLy86NixI1ZWVrEu25AKFSpEzpw5+eOPPxK8LklmkjhFUejduzevX79m48aN/Pbbb/z999+sW7eOHDlyqB2eECbNxsYGJycnnJycKFasGIMGDeLx48e8fv1av8/IkSPJkycPyZMnJ0eOHIwdOzbKf9R//fUXVatWxcHBAUdHR0qUKBGl58PLy4usWbOSPHlymjZtyuzZs6NcuujcuTNNmjSJEtegQYOoUqWK/nedTsfUqVPJnj07dnZ2FC1alC1btnzzuBRFoXPnzuTOnZvjx49Tv359cubMSbFixRg3bhw7duzQ73v16lWqVauGnZ0dadOmpWfPngQGBuqfr1KlCoMGDYpSfpMmTejcubP+92zZsjFlyhS6du2Kg4MDWbNmZfny5frns2fPDoCbmxsajUZ/bF+OffLkyTg7O5M3b14mTJhAoUKFoh1TsWLFGDt27DePeePGjV8dO/iljV1dXenduzc1atRg586dwOdL94ULF8be3h4XFxf69OkT5dj/e5npR239b926dePOnTucOHEiynZ/f38ePHhAt27dOH/+PDVr1iRdunSkTJmSypUrc+nSJf2+iqIwfvx4smbNio2NDc7OzgwYMED/fFhYGCNHjsTFxQUbGxty5crFypUro9RVunRpbGxsyJQpE+7u7tF6pRo2bMjGjRu/eV4NRZIZQcGCBVm+fDn79+9n3rx5dO/enerVq6sdlhBmJTAwkE2bNpErVy7Spk2r3+7g4ICXlxc3btxg3rx5rFixAk9PT/3z7dq1I0uWLJw/f56LFy/i7u6u/4/77NmzdOvWjX79+nHlyhWqVq0ap0ktp06dytq1a1m6dCnXr19n8ODBtG/fHn9//6/uf+XKFa5fv87QoUO/Og/Lly/ooKAgateuTerUqTl//jybN2/m4MGD9OvXL9Yxzp49m5IlS3L58mX69OlD7969uX37NgDnzp0D4ODBgzx//pxt27bpX3fo0CFu376Nn58fvr6+dO3alZs3b3L+/Hn9PpcvX+bvv/+mS5cuX6373bt33Lhxg5IlS/4wTjs7O30PkIWFBfPnz+f69eusWbOGw4cPM2LEiG++9ntt/V+FCxemVKlSrFq1Ksr21atXU758efLly8enT5/o1KkTJ06c4MyZM+TOnZt69erx6dMnALZu3YqnpyfLli3j7t27+Pj4ULhwYX1ZHTt2ZMOGDcyfP5+bN2+ybNkyfW/906dPqVevHqVKleKvv/5iyZIlrFy5MtrfX+nSpTl37hxhYWE/PHfxIXczJWFarRYrKytGjx7Nvn37aN++Pf3795dERhi94OBgbt26lej15suXL1YT9/n6+uo//IOCgnBycmLXrl1REoAxY8boH2fLlo1hw4axceNG/Zfeo0ePGD58OPny5QMgd+7c+v3nzZtHnTp19PvmyZOHU6dOsW/fvhjHGBYWxpQpUzh48CDlypUDIEeOHJw4cYJly5ZRuXLlaK+5e/cugD6mb1m/fj2hoaGsXbsWe3t7ABYuXEjDhg2ZPn06GTNmjHGc9erVo0+fPsDn3ixPT0+OHDlC3rx5SZ8+PQBp06bFyckpyuvs7e35/fffo8xTVLt2bVavXk2pUqWAzwlA5cqVv9kb/ejRIxRFwdnZ+ZvxKYrCoUOH2L9/P/379weI0uOULVs2Jk2axC+//MLixYu/Wc+32vprunXrxrBhw5g/fz4pUqTg06dPbNmyhfnz5wNQrVrUCSiXL19OqlSp8Pf3p0GDBjx69AgnJydq1KiBlZUVWbNmpXTp0gDcuXOHTZs24efnR40aNQCinJ/Fixfj4uLCwoUL0Wg05MuXj2fPnjFy5Eh+++03/d+4s7Mz4eHhvHjxItolOkOSZCaJCgsLo2LFinTt2pUKFSrQsmVL6tWrx4wZM9i/f7/a4YkkLI39jyfHu3XrFiVKlEiEaKK6ePEixYsXj/H+VatWZcmSJQC8ffuW+fPnU79+fc6dO6f/YP/zzz+ZP38+9+/fJzAwkIiICBwdHfVlDBkyhO7du+Pt7U2NGjVo0aIFOXPmBODmzZs0bdo0Sp3lypWLVTJz7949goODqVmzZpTt4eHhuLm5ffU1SgzvNLt58yZFixbVJzIAFSpUQKfTcfv27VglM0WKFNE/1mg0ODk56afC/57ChQtHm3CxR48edO3alTlz5mBhYcH69euj9Ib9V0hICAC2trbRnvuSsGq1WnQ6HW3btmX8+PHA556iqVOncuvWLQICAoiIiCA0NJTg4OCvJsXfa+uvadOmDYMHD2bTpk107dqVP//8EwsLC/3aeS9fvmTMmDEcPXqUV69eERkZSXBwMI8ePQKgRYsWzJ07lxw5clCnTh3q1atHw4YNSZYsGVeuXMHS0vKrySx8btty5cpFuUGkQoUKBAYG8uTJE7JmzQr83yy/wcHB3zwOQ5BkJokaOXIkf//9N7ly5aJBgwbkypVLlioQqktunYxLY2v+cL98+fJx8eLFRIgoer2xYW9vT65cuYDP/9XOnz8fV1dXVqxYwaRJkzh9+jTt2rXDw8OD2rVrkzJlSjZu3Bjldtbx48fTtm1bdu/ezd69exk3bhwbN26MlsR8i4WFRbTk499jcr6M4di9ezeZM2eOsp+Njc1Xy8yTJw/wOan8VsITUz+K74v/Xm7RaDQxWnj034nUFw0bNsTGxobt27djbW2NVqulefPm3ywjXbp0ALx//17fC/TFl4TV2toaZ2dnkiX7/LX6zz//0KBBA3r37s3kyZNJkyYNJ06coFu3boSHh381mYltWzs6OtK8eXNWr15N165dWb16NS1bttT3Bnbq1Im3b98yb948XF1dsbGxoVy5cvrLYC4uLty+fZuDBw/i5+dHnz59mDlzJv7+/vokJL7evXsHEO28GZokM0nQrl27mDdvHjNmzGDUqFHodDp27dql/+9CCGOXPHnyWPWQGAuNRoOFhYX+P/1Tp07h6uoa5Xbf//3vf9FelydPHvLkycPgwYNp06YNq1evpmnTpuTPn5+zZ89G2ffMmTNRfk+fPj3Xrl2Lsu3KlSv65KBAgQLY2Njw6NGjb/4X/l/FihWjQIECzJ49m1atWkUbN/PhwwdSpUpF/vz58fLyIigoSJ9UnDx5EgsLC/LmzauP7/nz5/rXRkZGcu3aNapWrRqjWOD/lrr4svTFjyRLloxOnTqxevVqrK2tad269Xe/vHPmzImjoyM3btzQJ3Jf/Dth/beLFy+i0+mYPXu2/vxs2rTph7F9q62/pVu3blSpUgVfX19OnToV5U6qkydPsnjxYurVqwfA48ePefPmTZTX29nZ0bBhQxo2bEjfvn3Jly8fV69epXDhwuh0Ovz9/fWXmf4tf/78bN26FUVR9L0zJ0+exMHBgSxZsuj3u3btGlmyZNEnhAlFBgAnMU+fPqVLly40aNCAEydOcOvWLXx9faP9RyaEiL+wsDBevHjBixcvuHnzJiNGjCAwMFB/V0zu3Ll59OgRGzdu5P79+8yfP5/t27frXx8SEkK/fv04evQo//vf/zh58iTnz5/XLy0yYMAA9u3bx6xZs7h79y4LFy6MdompWrVqXLhwgbVr13L37l3GjRsXJblxcHBg2LBhDB48mDVr1nD//n0uXbrEggULWLNmzVePS6PRsHr1au7cucNPP/3Enj17ePDgAX///TeTJ0+mcePGwOcBrba2tnTq1Ilr165x5MgR+vfvT4cOHfSXmKpVq8bu3bvZvXs3t27donfv3nz48CFW5zlDhgzY2dmxb98+Xr58GaN5Tbp3787hw4fZt28fXbt2/e6+FhYW1KhRI9qdQ9+TK1cutFotCxYs4MGDB3h7e7N06dJv7v+jtv6WSpUqkStXLjp27Ei+fPkoX768/rncuXPj7e3NzZs3OXv2LO3atYuStHl5ebFy5UquXbvGgwcP+OOPP7Czs8PV1ZVs2bLRqVMnunbtio+PDw8fPuTo0aP6hKxPnz48fvyY/v37c+vWLXbs2MG4ceMYMmRIlOT2+PHj1KpVK8bnLc4UM/fx40cFUD5+/Kh2KEbh3bt3Sq9evZTevXsrFhYWiq+vb5Tnw8PDFR8fHyU8PFylCEVsmFt7hYRHKC2XnlJaLj2lhIRHfN4WEqLcuHFDCQkJUTm62OnUqZMC6H8cHByU4sWLK5s2bYqy3/Dhw5W0adMqKVKkUFq1aqV4enoqKVOmVBRFUcLCwpTWrVsrLi4uirW1teLs7Kz069cvyrlYuXKlkiVLFsXOzk5p2LChMmvWLP3rv/jtt9+UjBkzKilTplQGDx6s9OvXT6lcubL+eZ1Op8ydO1fJmzevYmVlpaRPn16pXbu24u/v/91jvH37ttKxY0fF2dlZsba2VlxdXZU2bdooly5d0u/z999/K1WrVlVsbW2VNGnSKD169FA+ffqkfz48PFzp3bu3kiZNGiVDhgzK1KlTlcaNGyudOnXS7+Pq6qp4enpGqbto0aLKuHHj9L+vWLFCcXFxUSwsLPTH1qlTJ6Vx48bfjP+nn35SChYsGG17ZGSk8v79eyUyMlK/bc+ePUrmzJmjbPtR+XPmzFEyZcqk2NnZKbVr11bWrl2rAMr79+8VRVGU1atXx6qtv2XKlCkKoMyYMSPK9kuXLiklS5ZUbG1tldy5cyubN2+Oci63b9+ulClTRnF0dFTs7e2VsmXLKgcPHtS/PiQkRBk8eLCSKVMmxdraWsmVK5eyatUq/fNHjx5VSpUqpVhbWytOTk7KyJEjFa1WG+X1KVOmVE6fPv3N2L/3/o7N97ckM0lIUFCQoiiKsmTJEgVQFixYEG0fc/tyNHfm1l5BYVrFdaSv4jrSVwkK+/yhaKrJzH997QsyIfz7C1J8m06nU3LmzKnMnj072nNfayudTqeUKlVKWb9+fWKGadIWL16s1KxZ87v7GCqZkctMScTJkyfJnj07y5Yto1+/fgwYMCBOcz0IIYSpe/36NQsXLuTFixffnFvmvzQaDcuXL4/xUgXi86DtBQsWJEpdJjUAeNq0aYwaNYqBAwcyd+5ctcMxev/88w9+fn48fPiQtWvXkjlzZoYNG0bdunWZM2eO2uEJIYQqMmTIQLp06Vi+fDmpU6eO8euKFStGsWLFEi4wM9O9e/dEq8tkkpnz58+zbNmyKHMNmJuIiAj8/Py4d+8e9vb23/xJnjw5KVKkwM7OjsOHD3P69GkePnzIw4cPefDgAcOGDaNfv35cuHCBXr16kSVLFnLnzs3t27fJnTs3GzZskFuwhTBTnTt3jrIUgIhOkRXZzY5JJDOBgYG0a9dOPzeDubl58yZeXl54e3vz/PlzrK2tY7QgmkajwdLSksjISKysrLC1tcXe3p7Vq1ezf/9+bGxs6NChA46Ojvj7+2NhYaG/BVsIIYQwFyaRzPTt25f69etTo0aNHyYzYWFhUdaACAgIAD5PwmRMc6h8+PCBzZs3s2bNGs6dO0fq1Klp1qwZOp2OS5cuYWFhwYEDBwgKCqJ48eJYWlqSKVMmMmbMSLp06ShdujRWVlYEBAQQFhZGUFAQISEhBAUFERwcTFBQEB8+fODp06cEBwdjbW3N9u3byZAhw3fPw5fnjOlciW8zt/bSaiP+9ViLVqOg1WpRFAWdThejSdKM1ZfegC/HIoyXtFXi0el0KMrn9/l/rxjE5nPN6JOZjRs3cunSpSiLgn3P1KlT8fDwiLb9wIEDsVpTJSFERkby999/c/jwYc6ePUtERARubm4MHz4cS0tLVq1axfv376lUqRKurq76OQ2WLl36zcXGYjM/zLNnz3j27FmM9vXz84txuUJ95tJeYZFgbfH5A23//gPYWH6e4MzJyYnAwMAY9Vgauy+L/AnjJ22V8MLDwwkJCeHYsWPRBlfHZgkEjWLEFw8fP35MyZIl8fPz04+VqVKlCsWKFfvmAOCv9cy4uLjw5s2bKOudJKb79+/j5eXFunXrePLkCXnz5qVTp060bdsWZ2dntFotxYoVI3v27MydO/ers0kmFq1Wi5+fHzVr1vxmAiWMR1Jor9DQUB4/fky2bNm+ujaOqVAUhU+fPuHg4BBlPRthfKStEk9oaCj//PMPLi4u0d7fAQEBpEuXjo8fP/7w+9uoe2YuXrzIq1evokxbHhkZybFjx1i4cCFhYWHRuqVsbGy+up6IlZVVon7Yh4eH4+Pjw/Llyzl06BApU6akdevWdOnShdKlS6PVavH09KRRo0bkz5+fkydPki5dOqN54yT2+RLxY87tFRkZqV8G4L/T5puSL5crvhyLMF7SVonHwsICjUbz1c+w2HymGXUyU716da5evRplW5cuXciXLx8jR440yjty7ty5w4oVK/Dy8uLNmzdUqFCBNWvW0Lx5c/1lrqNHj9KnTx/u3LlD6tSpyZ8/f4IvwiWEEEKYK6NOZhwcHChUqFCUbfb29qRNmzbadjWFhoaydetWVqxYgb+/P2nSpKFjx4706NGDAgUK6Pd7/fo1Q4YM4Y8//qB8+fJcunTJrG81FyK2QrWR9P7j82rYS9qXwNbK+P5hMQXjx4/Hx8eHK1euGLzsH13qF0IN0n8WD9evX2fQoEFkzpyZ9u3bo9FoWLduHU+fPsXT0zNKIgOfx/OcOHGClStXcvz4cUlkhPgPnaJw5PZrjtx+jc54h/PF2OvXr+nduzdZs2bFzs6OvHnzUqdOHU6ePGmwOjQaDT4+PgYr74ujR4+i0WiiLfq4bds2Jk6caPD6hIgPo+6Z+ZqjR4+qHQLweW6YQoUKkS5dOrp160b37t2jLQ0PcOPGDcaOHcuqVavIkiULd+/eJVkykzvtQog4aNasGeHh4axZs4Zs2bLx4MEDzp49y9u3b9UOLc7SpEmjdghCRCM9M3GUP39+9uzZw9OnT5kxY0a0RCY8PJyJEyfi5ubGtWvX9LdESyIjRNLw4cMHjh8/zvTp06latSqurq6UKFECd3d3GjVqRNeuXWnQoEGU12i1WjJkyMDKlSuBz5d0BgwYwIgRI0iTJg1OTk6MHz9ev3+2bNkAaNq0KRqNRv/7F97e3mTLlk1/A8K/bzXW6XRMnTqV7NmzY2dnR9GiRdmyZQvweSmUqlWrApA6dWo0Go1+VuEqVaowaNAgfTlhYWGMHDkSFxcXbGxsyJUrlz5+IRKLJDPxULduXaytraNtv3TpEiVLlsTDw4Nhw4bx119/kT9/fhUiFEKoJUWKFKRIkQIfH58o00V80b17d/bt28fz58/123x9fQkODqZVq1b6bWvWrMHe3p6zZ88yY8YMJkyYoJ9X6Mv8W6tXr+b58+dR5uO6f/8+Pj4++Pr64uvri7+/P9OmTdM/P3XqVNauXcvSpUu5fv06gwcPpn379vj7++Pi4sLWrVsBuH37Ns+fP2fevHlfPc6OHTuyYcMG5s+fz82bN1m2bJnMMi4SnXQTJIDAwECsra25cOGCLEomRAJ5/vx5lEQAPvciZM+endDQUG7cuBHtNV+mebh9+zZBQUFRnsuWLRtp0qTh9evXPH78OMpzDg4O5M6dO1bxJUuWDC8vL3r06MHSpUspXrw4ZcqUoWPHjhQrVozy5cuTN29evL29GTFiBPA5KWnRokWUZKBIkSKMGzcOgNy5c7Nw4UIOHTpEzZo19XdBpkqVCicnpyj163Q6vLy8cHBwAKBDhw4cOnSIyZMnExYWxpQpUzh48CDlypUDIEeOHJw4cYJly5ZRuXJl/eWkDBkykCpVqq8e4507d9i0aRN+fn7UqFFDX44QiU2SGQM5cuQIq1evxsvLi0qVKnH+/HmjmTNGCHO0bNmyaLN9t2vXjj/++IMnT55QokSJaK/5Mkdo586dOXPmTJTnvL29ad++PZs2baJfv35RnqtVqxb79++PdYzNmjWjfv36HD9+nNOnT+Pr68v8+fP5/fff6dy5M927d2f58uWMGDGCly9fsnfvXg4fPhyljP/eKJApUyZevXr1w7qzZcumT2T++7p79+4RHBxMzZo1o7wmPDwcNze3GB/flStXsLS0pHLlyjF+jRAJQZKZePrw4QMjRoxgxYoVVKpUiQ8fPpAmTRpJZIRIYL169aJRo0ZRtqVOnRqALFmycPHixW++1svL66s9MwAtW7bU91Z88e+kILZsbW2pWbMm1atXZ8CAAQwdOpRx48bRuXNnOnbsiLu7O6dPn+bUqVNkz56dn376Kcrr/ztxmEajidF6Qd97XWBgIAC7d++OtiTK1yYd/RY7O7sY7ytEQpJkJh52795Nz549+fTpE0uWLKFnz54yW6QQ8ZDcOhn/TKsfo30zZcpEpkyZvvqcra1tlJnD/ytv3rzffC59+vQJOollgQIF2LFjBwBp06alSZMmrF69mtOnT9OlS5dYl2dlZUVkZGSsY7CxseHRo0ff7FX5Mh7we2UXLlwYnU6Hv7+//jKTEGqQZCYe/vnnH9zc3FiyZAkuLi5qhyOEMCJv376lRYsWdO3alSJFimBvb8/x48eZOXMmjRs31u/XvXt3GjRoQGRkJJ06dYp1PdmyZePQoUNUqFABGxsbfe/U9zg4ODBs2DAGDx6MTqejYsWKfPz4kZMnT+Lo6EinTp1wdXVFo9Hg6+tLvXr1sLOzizawN1u2bHTq1ImuXbsyf/58ihYtyv/+9z9evXpFy5YtY30sQsSVdCPEQ58+fdi1a5ckMkKIaFKkSEGZMmXw9PSkUqVKFClShClTptC9e3cWLlyo369GjRpkypSJ2rVr4+zsHOt6Zs+ejZ+fHy4uLrEa7zJx4kTGjh3L1KlTyZ8/P3Xq1GH37t1kz54dgMyZM+Ph4YG7uzsZM2aMNo7oiyVLltC8eXP69OlDvnz56NGjR7RLeEIkNKNeNdsQAgICSJkyZYxW3RSf57nYs2cP9erVM9uFC81JUmiv0NBQHj58SPbs2U161WydTkdAQACOjo5RLkcHBgaSOXNmVq9ezc8//6xihOKLb7WVMLzvvb9j8/0tl5mEEEIFOp2ON2/eMHv2bFKlShVtMLMQIuYkmRFCCBU8evSI7NmzkyVLFry8vGR2cCHiQd49QgihgmzZsmHmV/mFSDRyMVAIIYQQJk2SGSGEEEKYNElmhBAmQS7JCGF+YjKbdUzImBkhhFGzsrJCo9Hw+vVr0qdPb7JLheh0OsLDwwkNDZXbfY2ctFXCUxSF8PBwXr9+jYWFhX7G6biSZEYIYdQsLS3JkiULT5484Z9//lE7nDhTFIWQkBDs7OxMNiFLKqStEk/y5MnJmjVrvJNGSWaEEEYvRYoU5M6dG61Wq3YocabVajl27BiVKlUy2wkOzYW0VeKwtLQkWbJkBkkYJZkRQpgES0tLLC0t1Q4jziwtLYmIiMDW1la+II2ctJXpkYuBQgghhDBpkswIIYQQwqRJMiOEEEIIk2b2Y2a+zE0REBCgciSmQavVEhwcTEBAgFwrNgHSXqZD2sp0SFsZhy/f2zGZY8rsk5lPnz4B4OLionIkQgghhIitT58+kTJlyu/uo1HMfFpNnU7Hs2fPcHBwkPkCYiAgIAAXFxceP36Mo6Oj2uGIH5D2Mh3SVqZD2so4KIrCp0+fcHZ2/uE8NGbfM2NhYUGWLFnUDsPkODo6ypvYhEh7mQ5pK9MhbaW+H/XIfCEDgIUQQghh0iSZEUIIIYRJk2RGRGFjY8O4ceOwsbFROxQRA9JepkPaynRIW5kesx8ALIQQQgjzJj0zQgghhDBpkswIIYQQwqRJMiOEEEIIkybJjBBCCCFMmiQzZujYsWM0bNgQZ2dnNBoNPj4+UZ5/+fIlnTt3xtnZmeTJk1OnTh3u3r0brZzTp09TrVo17O3tcXR0pFKlSoSEhOiff/fuHe3atcPR0ZFUqVLRrVs3AgMDE/rwzE582+uff/5Bo9F89Wfz5s36/R49ekT9+vVJnjw5GTJkYPjw4URERCTWYZoFQ7y3Xrx4QYcOHXBycsLe3p7ixYuzdevWKPvIeyv+DNFW9+/fp2nTpqRPnx5HR0datmzJy5cvo+wjbWUcJJkxQ0FBQRQtWpRFixZFe05RFJo0acKDBw/YsWMHly9fxtXVlRo1ahAUFKTf7/Tp09SpU4datWpx7tw5zp8/T79+/aJMKd2uXTuuX7+On58fvr6+HDt2jJ49eybKMZqT+LaXi4sLz58/j/Lj4eFBihQpqFu3LgCRkZHUr1+f8PBwTp06xZo1a/Dy8uK3335L1GM1dYZ4b3Xs2JHbt2+zc+dOrl69ys8//0zLli25fPmyfh95b8VffNsqKCiIWrVqodFoOHz4MCdPniQ8PJyGDRui0+n0ZUlbGQlFmDVA2b59u/7327dvK4By7do1/bbIyEglffr0yooVK/TbypQpo4wZM+ab5d64cUMBlPPnz+u37d27V9FoNMrTp08NexBJSFzb67+KFSumdO3aVf/7nj17FAsLC+XFixf6bUuWLFEcHR2VsLAwwx5EEhHXtrK3t1fWrl0bpaw0adLo95H3luHFpa3279+vWFhYKB8/ftTv8+HDB0Wj0Sh+fn6KokhbGRPpmUliwsLCALC1tdVvs7CwwMbGhhMnTgDw6tUrzp49S4YMGShfvjwZM2akcuXK+ufhc89NqlSpKFmypH5bjRo1sLCw4OzZs4l0NOYvJu31XxcvXuTKlSt069ZNv+306dMULlyYjBkz6rfVrl2bgIAArl+/nkDRJy0xbavy5cvz559/8u7dO3Q6HRs3biQ0NJQqVaoA8t5KDDFpq7CwMDQaTZSJ82xtbbGwsNDvI21lPCSZSWLy5ctH1qxZGTVqFO/fvyc8PJzp06fz5MkTnj9/DsCDBw8AGD9+PD169GDfvn0UL16c6tWr668pv3jxggwZMkQpO1myZKRJk4YXL14k7kGZsZi013+tXLmS/PnzU758ef22Fy9eRElkAP3v0l6GEdO22rRpE1qtlrRp02JjY0OvXr3Yvn07uXLlAuS9lRhi0lZly5bF3t6ekSNHEhwcTFBQEMOGDSMyMlK/j7SV8ZBkJomxsrJi27Zt3LlzhzRp0pA8eXKOHDlC3bp19eNhvlwP7tWrF126dMHNzQ1PT0/y5s3LqlWr1Aw/yYlJe/1bSEgI69evj9IrIxJHTNtq7NixfPjwgYMHD3LhwgWGDBlCy5YtuXr1qorRJy0xaav06dOzefNmdu3aRYoUKUiZMiUfPnygePHiX33vCXUlUzsAkfhKlCjBlStX+PjxI+Hh4aRPn54yZcrou0ozZcoEQIECBaK8Ln/+/Dx69AgAJycnXr16FeX5iIgI3r17h5OTUyIcRdLxo/b6ty1bthAcHEzHjh2jbHdycuLcuXNRtn25K0Pay3B+1Fb3799n4cKFXLt2jYIFCwJQtGhRjh8/zqJFi1i6dKm8txJJTN5XtWrV4v79+7x584ZkyZKRKlUqnJycyJEjByCfg8ZE0sskLGXKlKRPn567d+9y4cIFGjduDEC2bNlwdnbm9u3bUfa/c+cOrq6uAJQrV44PHz5w8eJF/fOHDx9Gp9NRpkyZxDuIJORb7fVvK1eupFGjRqRPnz7K9nLlynH16tUoH7x+fn44OjpGS1pF/H2rrYKDgwGi/WdvaWmp7xGV91biisn7Kl26dKRKlYrDhw/z6tUrGjVqBEhbGRW1RyALw/v06ZNy+fJl5fLlywqgzJkzR7l8+bLyv//9T1EURdm0aZNy5MgR5f79+4qPj4/i6uqq/Pzzz1HK8PT0VBwdHZXNmzcrd+/eVcaMGaPY2toq9+7d0+9Tp04dxc3NTTl79qxy4sQJJXfu3EqbNm0S9VjNgSHaS1EU5e7du4pGo1H27t0b7bmIiAilUKFCSq1atZQrV64o+/btU9KnT6+MGjUqwY/PnMS3rcLDw5VcuXIpP/30k3L27Fnl3r17yqxZsxSNRqPs3r1bv5+8t+LPEO+rVatWKadPn1bu3buneHt7K2nSpFGGDBkSZR9pK+MgyYwZOnLkiAJE++nUqZOiKIoyb948JUuWLIqVlZWSNWtWZcyYMV+9PXfq1KlKlixZlOTJkyvlypVTjh8/HuX5t2/fKm3atFFSpEihODo6Kl26dFE+ffqUGIdoVgzVXqNGjVJcXFyUyMjIr9bzzz//KHXr1lXs7OyUdOnSKUOHDlW0Wm1CHprZMURb3blzR/n555+VDBkyKMmTJ1eKFCkS7VZteW/FnyHaauTIkUrGjBkVKysrJXfu3Mrs2bMVnU4XZR9pK+OgURRFSbx+ICGEEEIIw5IxM0IIIYQwaZLMCCGEEMKkSTIjhBBCCJMmyYwQQgghTJokM0IIIYQwaZLMCCGEEMKkSTIjhBBCCJMmyYwQQgghTJokM0IIIYQwaZLMCCGEEMKkSTIjhBBCCJMmyYwQQgghTNr/AyJ1xlHGJxH0AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "synth.path_plot(time_period=range(1955, 1998), treatment_time=1975)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The `gaps_plot` method shows the gaps (the difference between the treated unit and the synthetic control) over time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "synth.gaps_plot(time_period=range(1955, 1998), treatment_time=1975)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the average treatment effect on the treated unit (ATT) over the post-treatment time period, also returns a standard error (se)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'att': -0.6995654654228687, 'se': 0.07078075875424619}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "synth.att(time_period=range(1975, 1998))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The summary function gives more information on the predictor values. The first column shows the value of the $V$ matrix for each predictor, the column 'treated' shows the mean value of each predictor for the treated unit over the time period `time_predictors_prior`, the column 'synthetic' shows the mean value of each predictor for the synthetic control over the time period `time_predictors_prior` and finally the column 'sample mean' shows the sample mean of that predictor for all control units over the time period `time_predictors_prior` i.e. this is the same as the synthetic control with all weights equal." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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school.illit0.07339.888256.336323.826
school.prim0.1201031.7422730.1032182.453
school.med0.00390.359223.340148.864
school.high0.10225.72863.43747.133
school.post.high0.01113.48036.15426.163
invest0.00024.64721.58321.445
special.1.gdpcap0.1175.2855.2713.584
special.2.sec.agriculture0.0636.8446.17921.058
special.3.sec.energy0.1554.1062.7605.252
special.4.sec.industry0.09645.08237.63622.670
special.5.sec.construction0.0536.1506.9527.274
special.6.sec.services.venta0.00233.75441.10436.646
special.7.sec.services.nonventa0.0244.0725.3717.103
special.8.popdens0.181246.890196.28497.468
\n", "
" ], "text/plain": [ " V treated synthetic sample mean\n", "school.illit 0.073 39.888 256.336 323.826\n", "school.prim 0.120 1031.742 2730.103 2182.453\n", "school.med 0.003 90.359 223.340 148.864\n", "school.high 0.102 25.728 63.437 47.133\n", "school.post.high 0.011 13.480 36.154 26.163\n", "invest 0.000 24.647 21.583 21.445\n", "special.1.gdpcap 0.117 5.285 5.271 3.584\n", "special.2.sec.agriculture 0.063 6.844 6.179 21.058\n", "special.3.sec.energy 0.155 4.106 2.760 5.252\n", "special.4.sec.industry 0.096 45.082 37.636 22.670\n", "special.5.sec.construction 0.053 6.150 6.952 7.274\n", "special.6.sec.services.venta 0.002 33.754 41.104 36.646\n", "special.7.sec.services.nonventa 0.024 4.072 5.371 7.103\n", "special.8.popdens 0.181 246.890 196.284 97.468" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "synth.summary()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can run a Placebo test using the `PlaceboTest` class. After instantiating it, we supply the original `Dataprep` object to it as well as a synthetic control method object (our `synth` from previously) and any options that we want to supply to the synthetic control method object (the optimisation scheme and starting point for the optimisation scheme)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1/17) Completed placebo test for Spain (Espana).\n", "(2/17) Completed placebo test for Castilla-La Mancha.\n", "(3/17) Completed placebo test for Aragon.\n", "(4/17) Completed placebo test for Cantabria.\n", "(5/17) Completed placebo test for Canarias.\n", "(6/17) Completed placebo test for Principado De Asturias.\n", "(7/17) Completed placebo test for Baleares (Islas).\n", "(8/17) Completed placebo test for Cataluna.\n", "(9/17) Completed placebo test for Madrid (Comunidad De).\n", "(10/17) Completed placebo test for Andalucia.\n", "(11/17) Completed placebo test for Castilla Y Leon.\n", "(12/17) Completed placebo test for Extremadura.\n", "(13/17) Completed placebo test for Comunidad Valenciana.\n", "(14/17) Completed placebo test for Rioja (La).\n", "(15/17) Completed placebo test for Galicia.\n", "(16/17) Completed placebo test for Murcia (Region de).\n", "(17/17) Completed placebo test for Navarra (Comunidad Foral De).\n", "Calculating treated unit gaps.\n", "Done.\n" ] } ], "source": [ "placebo_test = PlaceboTest()\n", "placebo_test.fit(\n", " dataprep=dataprep,\n", " scm=synth,\n", " scm_options={\"optim_method\": \"Nelder-Mead\", \"optim_initial\": \"equal\"},\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the gaps for the treated unit as well as all the placebos in one graph using the `gaps_plot` method of the `PlaceboTest` class." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "placebo_test.gaps_plot(\n", " time_period=range(1955, 1998), treatment_time=1975, exclude_units=[\"Spain (Espana)\"]\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can refine the gaps plot by removing those placebos that did not have a good pre-treatment match, namely we can remove from the plot any placebo whose pre-treatment mean-square prediction error is $> n\\, \\times $ the pre-treatment mean-square prediction error of the treated unit. The following graph is a refined version of the previous with $n=1$ (`mspe_threshold=1`)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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8+eWX4/LLLy/4t1dffbXfxz7wwAPlXxDDMAzDVACKbCQSiYJDFQeDMXLTF06nE+l0GolEAm63u2BERVVV0dEz0htaRmcVHMMwI5qUmsMZf+j2gnrsksmwmUdprzQzatB1HbFYDLFYDLre7UvUc6jiYMhkMiJ6UyhlRNhsNiiKglwuh2QyWdAqhLp57HZ7v881EmDxwjBMzaHpOv71VVj8zjC1iq7rSCQSiEajojvWbDbD4/GUpYvHmDIaqD7F6XQiEokgFov1Ei+pVArpdFqksEY6LF4YhmEYZhAkk0lEo1ExBVpRFHg8nrLWkgxU72LE4XCI9RinTeu6LqIuTqdzQEO8kQCLF4ZhGIYpgXQ6jXA4jEwmA6C7XdntdsPhcJS1eyebzQphVEwUh9qm4/E44vG4eEwikRDTqkdqa3RPWLwwDMMwTBGoqopIJIKuri6YzWZIkgSXywWXy1WRlmOKulit1qLrZnq2TUuSJFqj3W73qOnuZfHCMAzDMP2QTqdFMS5FQpxOZ8XFQCkpI6Jn2zTQ3QFlMpkG3apdi7B4YRiGYWoemgdkNpuHJXpAhbjxeFwIFqDbOb6pqaniHimapom0VCniBchvm6bOJ6/XW/Y1VhMWLwzD1CR1zpHdysmUj0QiISYqA93RBYvFArPZDIvFApPJVLa0TS6XQzweRyKREN1DkiTB6XSK6csmU+VPnRR1MZvNJRfYGtumgb5nAI5kWLwwDFNzOCwmvHPt1Govg6kBVFVFONzdNi/LMjRNyytkBbrFBQkZ+rfUE34mk0E8HkcymRS30ewfKsRVVbU8b6oIBpMyMkJt08Doi7oALF4YhmGYGkXXdQSDQei6DqvVivr6epFOUVVV/Eu3UZqFkGUZkiT1+286nRaChdJRVqsVTqdz0MJhqOi6LtJkQxEvqqqKyNRoY/S9I4ZhGGZUEAqFkM1moSgK/H4/gG6BYbPZ8k7q2Wy2l6ABINI+lD4xoqoqotGoEDyUGvL5fCLtout6VQYXptNpMVpgsGMFJEkS22w0wuKFYZiaI6XmcP6yDQCAB797EI8H2A4xpnD8fn+/RbomkykvuqDrOjRNK/hvLpdDJBJBMpmEoihCCFksFsiyjGw2K9JUxnSUxWIZNiEz1JTR9gCLF4Zhag5N1/HWfwPid2b7gvxUgO4BgqXO4ZEkqWDNSzqdRjQaFRb5NpsNXq8XiqJA0zQRuekrHUX1N4lEAh6Pp2JipphBjNs7LF4YhmGYmkHTNAQCAei6DpvNVhZHWE3TEA6HRSRHURR4vd68yIYsy726cigdRWJGVVXkcjmEQiEkk0nY7XY4nc6y1pRkMhlomgZZlkf88MRKwuKFYRiGqRlCoRByuRwURYHP5xvy8yUSCUQiEVH/4nQ6i46aUDqKhhym02nY7XaYTCZompZnw+9wOIoanjgQnDIqDhYvDMMwTE0Qi8WQSqUgSRLq6uqGZEZHtStGczuv1zukaIYsy7Db7WhqahLihaY1p9NpKIoCh8MBh8Mx6OGHFB1i8dI/LF4YhmGYqpPJZPLqXAbbZQN0i6BoNCq6hdxuN5xOZ1lrVCjFlMvlhBNvLpdDNBpFNBqFzWaD2+0u6X1QWkqSpFFnKlduWLwwDMMwVUXTNASDQQAQdSRDeR6KtlitVvh8vkFHQYpBURS43W64XC6kUikkEgmk02mkUilkMhk0NjYW/frGQYzVaNEeSbB4YRimJrFze/R2QzAYRC6Xg8lkGnSdi6qqCAQCInLh9XpFrcpwIEkS7HY77HY7stksgsEgVFVFMBhEfX19UWKE612Kh8ULwzA1h8NiwqYbjq32MphhIBqNIp1OizqXwUQcEokEwuEwdF2HyWSC3+8fUtppqJhMJtTV1aGjowOZTAbRaBQej6ffx+RyOWGuN9zihXxwCNoHPf+tJVi8MAzDMFWBfFeA7vk7pbYc67oufFeA7pO+z+cblqnTA0HdUoFAALFYbMDhiBR1IbO8ckBzoDRNQy6Xg6Zp4qfn/4vBKGZMJhMaGhrKss7BwOKFYRiGGXZyuZyoc6EOnVIfHwgERLTC7XbD7XaXfZ1DwWazwel0Ih6PIxgM9lv/Uu6Ukaqq6OzshF6CyaMkSf3en/7WM1JTDVi8MAxTc6TUHC59+G0AwO/PPYDHA4wydF1HIBCApmmihbkU0uk0gsGgMHPz+/2D6s7RdR2RSAS6rosRAOUeYujxeITJXSgUQn19fa/7aJo25EGMPaFuK1mWYTKZIMsyZFmGoigFf+8Z7TEKlUL/VhsWLwzD1ByaruMvmzvE78zogopZZVkuuc4lFouJlmqz2Yy6urpBdxORyRwAkXqSJEkIGZprNJQ0Dg1I7OjoEGmynhEiEi49ZzQNlkwmIyI5DQ0Ng3rOWq53AVi8MAyzHaLret4PDe0r9EMnMqY8RCKRPCO6YoWHrusIBoPipOxwOOD1egd9ctU0DbFYDEB3ezbNMdJ1XZjOESaTCWazGZIkFZxQPRAmkwlerxehUAjRaBRWqzXvM1XulBGJO4fDUfZIUq0wOt8VwzBMAXK5HDo7O0s+AdlsNng8nlFzIkin00gkEsLWfrhIJBJCMPh8vqJFYTabRSAQQDabFUMVB+sFQ8RiMWiaJrqTCJphRDONstms+KHBjF1dXfD5fCWJDYfDgUwmg0QiIepfZFmGrutlFS/pdBqZTEaY841WRsc3kWEYpghobg4hSVKvH1mWxe9At107WcA7nU64XK6a6GYpFV3XkUwmEY/HRZFrKpWC1WqtqIkbkU6nEQqFAHQX1xY7MTmVSiEYDELXdSiKAr/fP+RIWC6XE+mini3MZrMZZrNZiDrjtGl6TDqdRiAQgKIocDqdcDgcRX0mvF6vEEShUAh1dXUi2qMoSlkifBR1cTqdw7JfqwWLF4ZhtgvI+VSSJDQ0NBTtA+J2u8WMnFgshkQiAY/HM6wRi6GgaVqefT0AIdLoJD6QB8lQIdM2oDtFU2xEIBKJiEiNxWIZ8rwjIhaLiZTgQNEO47Rpm80Gr9cLl8slrPwjkQii0ahwBu7vc0X1L52dnUilUojFYmKflGMcQDKZhKqqkCSpLNO4axkWLwzDjHpyuRzC4TAAlDxvxmQyob6+HqlUCpFIRFw1x+PxIQ/6qyTZbBbxeByJREJ0iBgjBaqqoqurC/F4vKLRJE3T0NXVBU3TYLFYinLQ7WnzX8ok6IEwRl0Gk1ZRFEWkEI2RrEQigUQiAYvFAqfT2eeEabPZDI/Hg3A4jGg0Ck3TIElSWVJG5JkzUqODpcDihWGYUU8oFBJX2oO9IrXZbLBarUgkEohGo8JHw263w+Px1EyIPpPJiOnMhNlshtPphN1uFydUq9UKs9kMVVURj8crUh9BLdG5XA6KohTVWdTT5t/n8xWdYioGSqsMZBo3EJIkCX8aSinRPKNMJgNZluFwOAqmb5xOJ9LpNOLxOAKBAOrr64csghOJBLLZLGRZHvVRF4DFC8MwNYjDYsJnNx1flueKx+MiXTTYuTmEJElCBESjUcTjcVET43K54HQ6y3rFS0Zu2Wy21zoK/V/X9byaHqvVCpfL1edJ2uVyIRgMiuhLudtiQ6GQKB6tr68fcNskk0khNEnslNPmX1VVJJNJAL1rXYYCdaRpmiaiXblcDrFYDLFYTJjVGfeDz+cTNVipVGpInxtd1/OiLrXa3lxOhiWudNddd2HChAmw2WyYNGkSNmzY0Od977nnHhx22GHw+/3w+/2YMmVKv/dnGIbpC6pJAFDWbiFZluH1etHY2Air1SpOHq2trdi2bRs6OjoQCAQQiUTEFXk2my3J4ItagzOZTJ6NO1m7G3+oG4aiFQ6HA01NTaivr+83umC322EymURdTDmJxWJCKNTV1Q247SORiCjMtVqtaGxsLPt8IjrB2+32isw+kmUZbrcbzc3NqKurE9s+lUqhq6sL7e3tiMfjwlyP6qZ0XReprMFAYonSgtsDFY+8PProo5g/fz6WLl2KSZMm4c4778T06dOxefNmNDU19br/q6++irPPPhsHH3wwbDYbbr75ZkybNg0ffPABxo0bV+nlMgwzijCmiypxUDebzb3qYXRdF+22hVAURVyhJ5NJMSemJ5FIRKQfjIWqRgHUUwzpug6z2VzSVbzL5UIoFEIsFoPD4SjLVXsymRSi0ev19iugeta3uFyuihQQG43bhqOF2GazwWaz5dUeZbNZhMNhRCIR2Gw2ZDIZuN1uWCwWRCIRYYxXCsaoi9vt3i6iLsAwiJc77rgDF110EebNmwcAWLp0KZ5//nksW7YMCxYs6HX/Rx55JO//9957L1auXIm1a9dizpw5lV4uwzA1QErNYf5j7wIA7jhjv0GNByhnumgg6ERFaRuKhvT8l/6uqqqwuI/FYpBlWaQeLBaLOOEBpfmhDAZKgeVyOSSTySF3UWUyGdES7XQ6+xWNPetb/H5/xSYqV8u4jQzqPB6P6Pqiou9gMCi8dkjENTY2luw4TH415awNqnUqugczmQzefvttLFy4UNwmyzKmTJmC9evXF/UciUQCqqqirq6u4N97OiHSB7S/Kx+mN7SteJuNLEbrfktnsnjhvVYAwOJZGSglHqpyuRy6urqg6zq8Xq+IhgwXJEZ6QimfZDIpulFI1NBxTFVVBINBUfNBNSOV7B6hK/9gMDikdEoqlUIoFIKmabDZbKKrqRDG+hYyilMUpSL7iYpjqatnsK8x1O8bidNMJoPW1lZks1mYTCZkMhmEw2ERETKa5vUHCR5d1+FyuXrVRo00StmuFRUv5GTZ3Nycd3tzczM+/PDDop7j6quvxtixYzFlypSCf1+8eDEWLVrU6/bVq1ePGB+GWmLNmjXVXgIzCEbbfkvnADo8vfTSalhLDLxQCsdkMlXcw2SwOBwO/OMf/4Cu66JmhU5iqqrCbDaLrhFJkmC32ysWldB1XQgJl8tVcqQnl8uJC03g63biviIIqVRK1NhQJ1QlxVk4HEYulxOCaqiU4/sWDoeRyWREoa+qqohGo7DZbKivry9qXycSCaRSKSiKUvJwy1qklLqrmu42uummm7BixQq8+uqrfe7IhQsXYv78+eL/kUgE48ePx7Rp02r2oFWLqKqKNWvWYOrUqRUpZGMqw2jdb4lMFj/Z8AoAYPr0aXBYij9UxeNxhMNhSJKEpqammmlhNtLXfgsEAqIuw+v1IpvNIp1Oiytqi8UCr9dbkX0djUYRjUZhNpvR2NhY1GOo0JQmGAPdNSv91V4YjeecTmfFT7rJZBLBYBCSJKG5uXlIIqlc37dcLoe2tjYAQEtLC4Du+qyuri7EYjFYrVbssssu/QqYXC6H9vZ26LqOurq6ignb4YQyJ8VQUfHS0NAARVHETiLa2trEDuuL2267DTfddBNefvllfPOb3+zzfn316pPFM1MavN1GJqNtv5n1r0983e+tuENVNptFMpmE2WyG1+ut+QO6cb+R26rFYunlAByPxxGJRESEpJymbYTP50M6nRaDKgfyQKHaFopwkQFdX/UktPZ0Oi2M2irtR0Jzg8xmM9xud1lcbIGhf98osmaxWMSampub4XK58PnnnyOVSuGzzz7Drrvu2mekKJFIiO0+WmYYlbJNK9oqbbFYcMABB2Dt2rXiNk3TsHbtWkyePLnPx91yyy244YYbsGrVKhx44IGVXCLDMKMISn1YrdYR1TKaTqfzunN6HsSdTieamppEQWY8Hkd7e7toRS4HxtZdiowUQtM0hEIhdHZ2ClM0n8+HhoaGfoVLIBAQ6/X5fMNipJZMJmvSuI2iaz3FlNPpxG677Qar1QpVVfHf//4X4XC4V1eZsaB7e80wVDxtNH/+fJx//vk48MADcdBBB+HOO+9EPB4X3Udz5szBuHHjsHjxYgDAzTffjOuuuw7Lly/HhAkT0NraXbTncrlq6sPHMExtEYvFRHFrpbuLygkZ0QEQjq2FoKGEDocD4XBYzAtKJBLwer1l6aBxuVyiS4uiA0YSiQQikQg0TRPr9Xg8/aZiaDwAzdwx+p9UklptITYWZxfaDhaLBbvvvjs+++wzxGIxtLe3I51Ow+/3i/1B78tqtdbseIpKU3HxcuaZZ6KjowPXXXcdWltbsd9++2HVqlWiiPeLL77I++D//ve/RyaTwWmnnZb3PD/72c/w85//vNLLZRhmBJLNZsUB3ev11mSdSyEoIqFpmkh1DQQZuJF7azqdRkdHh7jAK/YkbTRLM/5YrVakUilEo1HR5amqqigwBSDWOtCJM5vNoqurC7lcDrIso76+ftjSmzSIUlGUmmreUFUVuq732ZEGdAuYcePGob29HeFwGGazGblcDh6PBxaLpSIuwSONYSnYvfzyy3H55ZcX/Nurr76a9//PPvus8gtiGKamsZsV/Pv66eL3gTCmi2rpRDUQkUgEqqoKI7pihYckSXC73bDb7WLidTQaRTKZhMfjGbDWx1g025NsNovOzk5IkoR4PI5MJoNkMglFUWCxWFBfXw+v1zvgWjOZjBBmJpOpKJfdcqFpmnh/tRR1AfpOGfXE6XTC5/PBbDYjFovBZDKJQnSgci7BI4Wa7jZiGGb7RJKkojuMRmq6iLxHzGaz8DgpFZp4TY622WwWgUBAFKgWEjHxeFyc2KmGxjh6QJIkWCwWhEIhRKNRka6nFAW151LBKf1rjKCnUinhP0IuxMM55ZiiSiaTqebELKWMiikm9/l8UFUVHo9HGPlR/ctoKdIdLCxeGIYZsZA3BjCy0kU0yRlAWbpgyAOGhkWSc21PEZNKpRAOh8XrFjoBJpPJvAGGFGmRZRmZTAaqqkLTtF4GoSaTCWazGYqiCHFktVpLiiiVA2PUpdbSKuTnAgwceQEgXIc7OzuhKArsdrvoBBtOl+BaZPt+9yWyefNmuN1ujB07ttpLYZhRTTqbwzVPvA8AuPGUvWE19RYlRmO1cpmPDQe5XA6BQABA99V3ua6gJUkS7cexWKyXiLHZbOKk7nA4er2u0SDPZDIJszqfz9erFkdVVSFkMpmMMNkzOrw6HI6i0kvlhjxn6D3XEpQyKmX+FNUXhUIhJBIJNDQ0lFykS+3vxsGexn/pd7vdPmIiOixeimTDhg047rjjsMMOO+D1118fFW6GDFOrdHYGsPKdrwAAN8z6n4L3icViol5kpKSLjLN8KrVuWZZ7iZhUKoWtW7eK2hrj8SubzSISiYgTqyRJcLlcqKurQyAQQCKRgNvtzjvZ9vQ5oYgCCRqLxVKV7lBy+gVqL+oClJYyMuJwOJBOp4XhXn19PYD8dN9AP8UQjUZrrsC5L1i8FAmNZ//Xv/6FU045BS+++OJ226LGMJXmoT8+BGAiAOA///kv9p64e97fM5lMXrpoOOspBks6nUYgEBCzfHoKgnJDIsbpdOLzzz8X9SyaponGCFVVhTGe1WoVE51pXWazWaS4+rsipy6l4WiB7g+KutTCWgrRX4v0QFD9SzabRXt7+6BeX1EU0VXW83dVVRGLxRAOh4X5XS1T+9/4GmHnnXfGCy+8AJfLhVdeeQXz5s0rWs0yDFM8uq7jgQceFP9/+OGHe/2dphbb7fYRMUk3kUiIQZFWq1W4jw8H4XAYNpsNzc3NaGxsFNOMaaJ1MplEMpkU0RPqMAIgoifxeLyXUVqtkc1mazrqkslkRGv6YIQBeeSQsJRlWYgMSpvSaAav1wu/34/6+no0NjaipaUFY8eOFZ+B+vp6+Hw+EaGz2+2iS03XdQSDQeRyuXJvgrLCkZcS2H///bFy5Uocf/zxWL58OXbYYQfcfPPN1V4Ww4wq1q1bh48//gg7/v//L3/kEfxy0XXiZE9dNSNlGB3NDAK6xZbP5xu26b/hcBipVAq5XA4mkwm6rsPv9+elL+hEqqqq+IlGoyKakslkoCgK4vF4TRuFkkOxzWaryRbioURdCJPJNOBonaHg9/vR0dEhDBDr6+trqs3cCEdeSmTatGm47777AHSPMfjNb35T5RUxzOji7rvvzvv/V1u+wiuvdA9ppPZioDuMXsvpIrqCNbq8+v3+YTsZ0MBE8pLRdV0U9Y4fPx5+vx9erxeNjY3i6tzn88Fut0OWZWiahmQyiVwuh46ODnz22WeiBma4xFexZDIZUbNTi1EXoDzipdIYoztUwF2r1O43v4aZM2cOfvnLXwIAfvjDH2LlypVVXhHDjA4CgQAef/zxXrfff//9YqYO0G3gVcsnAU3Tes3yGc4ujlQqhdbWVtFia7PZYLPZ0NDQAEmS0NnZiVQqhUgkIlJENNvI7/ejpaUFDQ0NcLvd8Hg8MJlMyGQyaG9vRygUQnt7O1pbWxEIBBCNRsVAx2pBUReHw1GTLcSapontXMufW6A7uuP3+wF0pzvpYqHWqL29PEJYuHAhvvrqK/z+97/H7Nmz0dTUhMMOO6zaywLQfRWSSCSQTCYhSZIoXrNarSPGB4PZPnn44YeRTqexz7cOQMRw+5NPPokvv/xS+IjU6tU10N3x0tXVhWw2O6yzfIh4PI7//ve/yGQysNvt8Hq9oqg5FAoJnxFFUZDL5RAOh9HY2NjreSwWi5hY7HK5sG3bNjGfCOg+IadSKRHxACAM6xwOx7ClbtLptDAprNU2X4q60Oe31rFarfB4PIhEIohEImK/1hIsXgaJJElYsmQJtm3bhqeeegonnngi3njjDey1115VWY+maUgkEr1Curqui4I8oFtVW61Wkeuu1Xwms/2h6zruueceAMDF352Hs+dOga7rOOK53fDvDz7AihUrcN555w1r6qVUVFVFV1cXNE2Doiioq6sbtpN4NptFKBTCli1bkMvlYLPZsOOOO8JutwtXXZqp4/V6YbVa0d7eLrpM+qtnsdvt8Pv9SCaTwjE3m80ik8mIn1wuJ2pmEokE/H7/sPisUNTF6XTWrDAodiRAX1DkhgZmkmGd1Wqt2HfB5XIJs8JAIIDGxsaa2r6cNhoCiqJg+fLlmDx5MkKhEI499lhs2bJlWNeQTqcRDAbR1tYmChklSYLD4UBDQ4MI/ZJqplHqXV1daG1tRVdXF2KxWM3lsJntj7feegvvv/8+7HY7zj13NupdVjS4bZg3dy4A4NFHHxXGabVIKpVCZ2enGLLY0NAwLMKFoidtbW3Ytm2bGOD3jW98AxaLBV1dXaKF2GazoampSdS1UAQrGo0O2F3i8XggSZKI7JrNZjidTvj9fjQ3N6O5uRl+vx9Wq1UMnKTun0pBbsDkTVOrlFrvksvlkEwmEQ6H81J0xllTgUAAbW1tCIVCIiVVKjThOhqNoqurq1eKyOfzwWQyQdM0Me6hVuDIyxCx2+149tlnccghh2Dz5s2YMWNGxU3syIgpkUjkHXDMZjMcDoc4MBEU+jVaeqfTaeRyOfG7qqqIRCI19eEsF6lUCpqmjQjjpe0ZKtQ9/fTT88zbZs6ciQULFuAf//gHvvrqq6pFN/sjnU7jk08+gSzL8Pv9orakkpANPrUx09C+xsZGjBkzBolEole0pWdbucPhQCKRQCaTQSQSEbUOhaB0XTgcRjQa7XWcoWiA3W4XbrChUAi5XK4i6Rxd10UxtMvlqtnibRqnQDOjCkHHYopiFbqYpKi52WxGNpsVxdR0LjBu//5Es6qq4rifyWTyjvnpdDpv9AClPTs7O0UBb60YQrJ4KQP19fVYtWoVJk+ejH/96184+eST8eKLL5Y9z02dFsYcsyzLsNvtReWY6b50AMtms0ilUkin08LaOxqNCvfG0cD777+PI444AoFAAH6/HzvssAN22GEHjBs3rtfv48aNg8/nq9mUxGgmEong0UcfBQBcdNFFSGdz+MVzm5DNZnHJQQ045phjsHr1ajzwwAO45ZZbqrzafFRVxWeffYZMJgOLxQJN09DR0QGn0wmHw1H2z5Ou64jFYkKY0BocDgcsFgu8Xi+CwaCobbHZbP12Znm9XnR0dCCZTMLhcPR73HI6nUgkEuJip68Tmc/ng6Iook1c07SyX9Alk0lks1nIslzTURdjyog+C0axQheSPTGbzWIYZs/Bl0B3JIxcd0nI0OfCbDaLYz1FV+j1evqTUUt8LpcT5o9GEUsFvF1dXXkRt2rD4qVMTJgwAS+88AIOP/xw/OUvf8G8efPw8MMPD/lqgGpWeqZ2LBYLnE4nbDbboA+ONL/EGIqPxWLieUc6HR0dmDlzppgjQ8Zc7733Xp+PcTgcvQRNz3+bmppqKvc7ENTymkqlRBSu1li+fDkSiQT23HNPHHLIIUiqOfzxb58DAC78dj3mzp2L1atX449//CNuvPHGmukoSafT6OjoENOhm5ubxYVAOBxGJBKBw+GA0+kc8pp1XRe1K3QCopMUCQRJkkQEta9oS0/oZBSPx0Xxbn/HFK/Xi87OTiQSCSGYCkEOwuFwWEx5LtfFgTHq4na7a/qCg8QJdcsVEiuSJImiWBIsxbwnasTwer1Ip9NIJBIikk4Csyc9mzjoc6mqqhCxbrc77/NqLOANh8M1UcBbG0eAUcK3vvUtYWL3pz/9CWPHjsWtt946qC+WpmmIx+PiSw9A1LKU40DYE2qlBIBQKFRzxVmlkslkcOqpp+Kzzz7DzjvvjGeffRaapmHbtm346quv8NVXX2HLli15v9OVxUcffYSPPvqoz+c2mUwYM2YMxo0bJw7QkiQV/Nf4Ow2qo0F3Pp+v4O9er7cstRJ0MEulUuIKPZ1Ow+Fw1Ny+pULdiy66qNf3xWw247TTTsMVV1yB1tZWrFq1CieccEI1lpkHpUXi8TgsFotwLyWxGI/HRY1ZPB6H1Wod1IWBrusiBUQnPRovYLVa0dHRIa7gKQJhs9lKmrLtdrtFJGMgMzrqJqL335/YcTqdkGUZwWBQuPiWY8p0PB5HLper6Tk8qVQKyWQSW7duRTab7XVMpYhKKWKlLyRJEsdw6gJLJpNIp9MiXWWM4hSCBllSC31dXV3e32utgJfFS5mZNm0ali1bhjlz5uD222+H1+vFtddeW/TjyZ47mUyKE46iKCIEXcm8rt1uF2HvQCAwLHn7SqDrOr73ve9h3bp1cLvduP/++0WHyg477IAjjzyy4Bc4mUxiy5YtQtT0/Perr75Ca2srstksvvzyS3z55ZcVew+nnHIKHnnkkZJPdJQLL1QPpeu6sFCvpejLO++8g3feeQcWiwXnnXceACASiYq/+3w+mM1mnHvuufjVr36F+++/v+rixZgOIddaKn6VZRlOpxNOpzMv1Uuhe0VRxPesPwqJFkVR4Ha7xQm7q6sLoVAIqVQK9fX1RUdbekLFu6FQSNSz9Hdi8ng8SKVSRYkdqo0JBAJIp9Po6urKs7kvFar1AWoz6kIRFhIQ2WwWJpMJNptNCIhKdgnRhZLD4RDRuGJfi/ZrKpWCqqq9LqLIHVpV1ao78LJ4qQDnnXceOjs7MX/+fFx33XVwOp2YP39+v49JpVKIxWJ5VeOUGhqu2S2SJMHv9wsviEgkMiLs13tyyy234P7774csy/j973+PvfbaS3RJUH6YQuV2u118+ex2O3bbbTfstttufT53NptFa2urEDSJREKMmzf+2/M2amUPhUIIh8MIhUIFf6eD8hNPPIEzzjgDK1euHDAKQyc5mupL9KyHoom0tSZeKOpyyimnoKGh4f9HKmLi7xRlnDt3Ln71q1/h2WefRWdnJxoaGoZ9rTRXiawHqIiV6hN6QqH5XC6HeDwuRGUkEhH7ncQZYbwvCRxZloVooc9rV1cXvvrqKxHNcDqdQxpSaSzeDYfDva68jZQqdqxWK+rr6xEIBJDJZNDZ2Yn6+vpBXblTNNpkMtVc1CWdTosiZUmSYDKZ4PP5UFdXV5VC11I/CyaTCXa7HclkEtFotNdngAp4Ozo6ql4gzeKlQlx55ZWIx+O49tprcdVVV8HpdOKSSy7pdT9SsMZ6FrvdDqfTWZWcoqIoojiLwuEjYfAd0J0qWrlyJa655hoAwKJFi3DKKaeI9RujWqqqCsFQSirOZDKJQt9JkyYNec3UEklrymazePPNNzF37lw8++yzOO+887B06VK4XK689RlbHIPBIEKhkDgBWq1WOByOXvVQNpsNsiwjl8shlUrVRF1TLBbDI488AqA7ZUTtoYX45je/if333x/vvPMOli9fjh/84AfDuVTRLkptr16vV7QgD1QwSiKH0jPkFEyik67I6fNAUVeTydSr8FfTNHR2duKrr74CANGqXI796fP50N7eLiJF/RXvliJ2gO6LsYaGBmHgRwKmlBS4MepSS0aFVINDa6Mi10AggFwuN2KOocDXKcRUKiWK0I0oilL1lBHAPi8lQQeaYvm///s/XH311QCASy+9FH/84x97PV9nZ2dexTx5JVSzGMpqtYor81AoVPMeMLlcDsFgEG+++SYuvvhiaJqGuXPn4pprrsk7aJjNZvh8PjQ3NwvLcyqCbG9vR1dXV159SCXXG4vF0NHRIfx56HPlcrlw4okn4oEHHoCiKHj00Ufxk5/8BG1tbejo6EAwGEQgEBC+D+SjYTKZ4PF40NzcjPr6+ryIEiFJktgelfbfKJbHHnsM0WgUu+66q/BLAgCHo3A3w7x58wB0jwsYTnK5HDo7O0UNAXXkkRldscKB6tYaGxvhdrtht9uRTqexbds2fPzxx/jiiy9E8W9dXR2amprgdDrFvkwmk2htbcW2bdsAdHc6TpgwoWxClIr4ge6hjgN9Fygy29Npt7/nb2hogMlkEtu0FI8SEos0SbkWICFGwsXpdArHYorAVLu4tRSMES0qiu5JtYULwJGXosnlcuLASiPN6Wqpr7C+JElYvHgx4vE4fvvb32Lu3LlwOBw45ZRTEA6HxQlkoFbGauB2u0URYDAYrMn6F2PLaFdXF+bOnYtYLIbDDz8cf/jDH/rcniQUXS5XwZoECveazWbxYzKZBr1/KHVEOfCeB2ur1Qq73S4iIwBw1llnIZPJ4Pzzz8c999wDm82GefPmiS4Sm80Gt9sNp9MJt9uNpqamoop8qauEJg1X+yBEKaN58+YhFAoJIzWbq/BV9TnnnIOrrroK7777Lt59913st99+FV+jqqriCtromksRIqvVKub7UE1KMak+TdNEPQR5d5hMJnFiz2Qywk6ejOhSqRQCgQAkSUJTUxPGjRtX9u+lsXg3Fov1m2I0m81wuVyIxWIIh8NF1XIoioKGhgaRQurq6hIDIfuDPE1ojbVAIpEQIk+WZfh8PiGqjMZ0tXbsHAj6DNAxsRbnMbF4KRJd18V4+J4zPUjMkKAxHrgkScKvf/1rxONx3H///Tj77LPx4IMP4ogjjgDQ/SGplS9iT3w+Hzo6OqCqak2ZEwHdB41IJCJssy+55BJ8/vnn2GWXXbBy5cqir3QK1SRomiZaDY0oitJL0EiSJNogc7lc3u/Gf3tC6bieRl/A1zNjjj/+eFx//fW47rrrsGTJEtTV1eG0004T9RWSJAkDrGIxmUywWCyi/qea/hjvv/8+/va3v8FkMuHEE08UV9R+vx+6Dqz7yVEAAJvpa4FVV1eHk046CX/+859x//3349e//nVF15hOpxEIBKDrOkwmk6jTiEQiwkuFpjUD3UInlUrBbrf3ajclEomEcEtVVRUWiwUtLS15Bb4kHGKxGGw2mxh8SKlcl8uFpqamipwUafJ0MBhELBaD3W7vN7VDJzqKKBZzPJNlGfX19QgGg0ilUiJ13t9jqQWcvrPVhJoajB4u5G1DjIQp0n1BXVw0mbwW3wOLlyKhA5eu66Iw0mj6M5CYueeeexCNRvH4448LD5iZM2fW5IeCMNa/JBIJ0SJZCai9lKIKfR2UyUmUrsAURcENN9yAN998E263G88888ygCjmpJsHj8QifDhIwqqoKYUL1IoOBQt19FTfSCctY83DBBRcgFArhjjvuwPXXX49vfOMbOOWUU0T0JJPJIB6Po62tDXV1dQXTRT1xOBzicdUULxR1mT59uqh9oDZaSQLG1xX+rM2bNw9//vOf8cgjj+DWW2+tWEieCpwBiDZnqpmimUDk7ErzwoymYclkEk6nEy6XC4qiIJ1OIxwOI5vNIpfLiaJXY5Et1bikUinE43Gk02nxeaMTN9VTVNLrxm63C8+QQm2zRkoVO8bH1dXVCR+YaDSKbDZb0AuGBs0C1a91yWQyaG1thSRJ0HVd1CSRkzdF1UayeAG6RSnVNNVKjZwRFi8lQvlLuvoBkDecLJ1O9xIzkiQhnU5j0aJFCIVCePnll4Xp1sEHH1zNtzMgVP8SjUYRDodhsVjKetCkqzXq2gG6hYTL5erlTtqzYNLtduO+++7DsmXLIMsyVqxYgf/5n/8Z8poodG/8slKI3yhoqBZIlmUoiiL+Nf5u/LcvMpkMYrFYr+m8JHRuu+02pNNp3HXXXZgzZw68Xi9mzJghWjIp+kOdH4W2nRG73Y5IJCJcPqtxcE0mk6IG7Oyzz4aiKKLVdyCmTZuGsWPHYuvWrXj22Wdx6qmnln19ZNhG0Tdq9QUgHKntdjvGjRuXt60dDgdcLhcikYiIooTDYdEdQ94/JFr6srUnzw4acihJkvh3uDoQyXmXjmX9nbyMYiccDpfk0u31emEymRAOh0UEx9hKTW3pQHfac7gGXfYkmUzis88+w5dffomddtpJeOnQsb8QdCwZiVDLfywWQzQaZfEyGulp/EOzI0ixdnV1iQ/3bbfdhh/84Ad4/fXXMWPGDLz00ks46KCDajonaqx/IXOioa63UJTBbDaL6Aa1DZNfhqZpokuBWrpfffVVXHXVVQCAW2+9FTNmzBjye+0LYzStXKTTacRiMSHGgO6TVqHhg7/5zW8QDAaxfPlynHbaaVi9ejUOPfRQuN1u+Hw+eDweMdmXZs+4XK68Yk+CCncpTVYN8bJy5UoEg0GMGzcORx55ZK+22UxWw22rNwMAfjTtG7CY8mfozJkzBzfddBPuv//+sosXOllSB5jH4xF+GTabDbquo6mpSWzfntDUZTIoo9oYWZbR2NgojOyK+Q6ZzWZ4PB4xqZr+PxxQFKjYehYSOxStURRFfLfJPqC/34HuBgFN09DW1ga/35/neUWiTdO0Ya0P1HUdnZ2d2LZtm7jAsNvtaGhogKIoBQ0p6d9aO+GXisvlEunNZDJZU11TLF5KwJjb7g+qiSBF7na7oaqqSBfcd999mD17NjZs2IDjjjsOTzzxRMFhc+UQNHTlbzKZ8v4t9cvv9/vR0dGBbDaLUCjU7wC3/lBVVYgWwmq1wuVyiWm0RmOuSCSCQCAAVVVhs9lEauGTTz7BmWeeCU3T8N3vfhdXXnnloNZTDWjcg7Gmhq7Y+7pKk2UZDzzwAMLhMJ5//nmccMIJeO2114SHDT2257YzCkDjPqd8NoW6h7tY/Pe//z2A7qhLY2Njr/ed1TTc/fp/AAA/nLI7LD0aI+fOnYubbroJL774IrZt24YxY8aUZV2UwqCCZo/HA5vNJmb+kAkggD7nu1DbbDweF2m8XC4n0qEdHR1CBBVDJBJBJpOBLMtlcactBWM9SzQa7Vc4UaeSsWW4VFwul6glou1E85rIfySTycDn8w2L6M5kMvjyyy+FAHW5XBg3bhwmTpxYtQjQcELNDSToWbyMQHRdR0dHh0ijDHSwj8ViYq4EhZeNMySeeuopzJgxA++++y7OPPNMPPHEE9h5550r/j4IWZbzBA0ZqfV3f7/fj87OTiSTSTHBtNgvcLFRBgqLOxwOJJNJdHR0iILJZDKJHXbYAZFIBCeeeCIikQgOPfRQ/O53v6vpyBVQ2C2V3qvT6Syq68dsNuOxxx7Dsccei3Xr1mH69Ol45ZVXxN97bjuah0UnE4oUyLIsZpNkMhkkEolhrX1555138Oabb0KWZVxyySWDimZ94xvfwOTJk7F+/Xr88Y9/xE9+8pMhrcloPkfFsZR+Mxaq00m5UF0H7WNy3gW+9jaxWCzC+IvmHvXVhmqEUk8AehWEDgeSJMHr9SIQCIh6lv6+8y6XSxSq03fS6PDa8/dCt/n9fnz66adC7I0dOxb19fXQNE3UDHV1dcHpdMLj8VTku0+fhy1btiCTyUBRFGFj8fHHH5f99WoZqvUid+5aMQZk8VIkxsnLqVQKHo+noAolzxFKE9nt9l4FaGazGWPGjMHatWtx5JFH4r333sPpp5+Oxx9/HAcccEC/6yg2+mNcTy6XE0WC2WxWCBVjnpYcdfsTMBaLRQznok4I40Ax+pcOsGSk1tM5uL9ODIKuVilMns1mxRXA+eefj08++QQTJkzAE088UXMFcWTDb6yPoa4UIN8+vtSIh8PhwLPPPosjjzwS7777LmbMmIHrrrsu7z7kJUIihk6YJGKoiJQKd4dTvCQSibxC3f7cjAdi3rx5WL9+PR544AH8+Mc/HvRJTNd1YV1P+4la143ChQzkAORtr0LDU8l3x5g2oOdMJpPC3ykej/fZxUfF6QCqOiyV6m9SqRTC4XC/BfEkdgYLdTY2NjaKTityp/Z6vWhsbEQkEhHzotLpNPx+f1mjINlsFl999RWCwSB0XYfD4cD48ePhdDpL8vkaLVD0JRKJiOhLLVwssngpEpvNhvr6eqH8yWbdeDVk7PmnL3EhlUodSxaLBY899hhmzZqFzZs345hjjsGSJUtw1llniYgIteMWQ6EwdKHH0snVKGroajEcDqOpqanP51cUBdlsVlyN0NW7UZwYO3OoVoTmbVDnxUDvw2jB3tjYCI/Hg2QyiWuuuQZ/+ctfYLPZcM899+T5Y1QD2pc9C3kL7Yu+CpFLxev1YtWqVTjssMPw8ccf46c//Sm+/e1vY5999ul1X2rHTqVSiEajIm0Xj8fhcDjEZ2E4CndTqRTa2trw2GOPAQC+973vDen5zjzzTFxxxRXYtGkTNmzYMCjHY2p5zWQyYr/RDJqeqVGKulAHYaHhqYVs/I2QsKT0SyQSgdvtLvidSCQSwsCy2nYKNLWYutT6SpkNBWqZppb53XbbDclkUoiVXC4nBpdarVZhoNnZ2Qm3210WAR6JRPDll18inU6LGqUxY8ZU3Q+p2lDtE3ntVGL/lwqLlxKwWq3iioBSIO3t7XA4HOIEAHRHKHw+nzihUpSDfoxX4R6PB08//TQuu+wyrF27FhdddBHee+89XHHFFaLlzggVglHKpxhDKJpvQ+uhaInxaoV+pxZPY1Sp50HaWEFPDqOKooh2R+PVCc3XocGIdDDua93GkwnQfdCkL8oLL7yAO++8EwBw5513Yq+99kIikRBFp1Q3U2l6WvoXglIzPX1hykVzczPWrFmDI444Ap9//jkOO+wwrFixAscee2zB+xuvnmkfxeNxET2rtHdGJpNBMBjESy+9hEAggLFjxw65wNrj8eDUU0/Fww8/jPvvv79k8ZLL5UQRuDHNY7Vae9WW0NU/0L0tSVwP1CHXF5Qq1HUdkUikl1DSNE2knT0eT9UNLBVFgdfrRSgUQiQSgc1mK+sJnbqyAORtf7rYoUGHRjsKehxFa2w2mzAQNHb+FbM/crkctm7dis7OTtGSPn78+Kq3ZdcKkiTB7XaLRoqhXoCVAxYvJUI70W63i6F6bW1tYporWbMb0yWF7PUpz0s53gcffBDXX3897r77bvzmN7/BBx98gOuvv37AUDF9QY3FuPQ7pV5IbJnNZiFkeh4M6W8ARGcBGbf1PEjTFXs8HhdzTdLptDBeo5ogs9kMSZJEm7Ex1dTTB4eETSAQEB1FdXV14oT673//G3PnzgUAzJ8/H5dcckleizE5QVKLM3UuUarP2C1Er1cK5ENTyCGXntsoVIbjSm2nnXbCG2+8galTp2LTpk04/vjjceutt+LKK6/Mm4NjNM8zm81obGwUIsZmswkfH5PJVFQ9V6moqoquri7ouo4VK1YA6E75lEPMkWfSihUr8Ktf/arfgkLq/qNpyNFoVHSJkMutxWIpWBRLRbw9xepQhqeSKE8mk6IgmCBDNrPZXDM1BsZZRqFQqKR26P6gNDS9htfrzdv+VF9knAFHYtPpdIo6Ixp8SsdnQpKkvONkT1FDaaJkMilGPxhrFJluHA5HTUVfeO8MEjroARCpF6C7NqanOKB2QKNg6dkiKEkSfvazn2HPPffE1VdfjbVr16K1tRWPPPIIdthhh7znITFQTJqoZ/SGalsKDe+jk34ikcB//vOfvIMm2YDbbDZRuNUTY8szFY7SsDkSF1QQSdN16YcEF0UAjAPbwuEwZs2ahVgshqOOOgo333yzMIOiAz7lY+nkQiLL6GBr9N0hIUM/faXXyNK/pzEdmZKRaVg10HUdfr8fP/3pT/Hiiy/i4YcfxlVXXYW///3vuPnmm8Xspp64XC643W4RiSEDsPb2dlH/Mph6nEJQcaWu69i2bRtee+01SJKECy64YMjPDQBHHnkkJkyYgM8++wxPPvkkzjnnHPE3qrkiwULfAxqGSu3KtI0sFguampoQiUREpMxkMiGVSuHzzz9HJpMR9Rx9tbSXArUikxggx1yqQwJQc1PdyXWbvstD6T7RdV047ALdEaa+Uj9msxlNTU15U9rphy4aqW4pmUxC0zRYLBYRVSPxbvy953fDYrFghx12qCkn8VqCLtzJT6ra0ZdhOeredddduPXWW9Ha2op9990XS5YswUEHHdTn/f/85z/j2muvxWeffYbdd98dN998c0U9PEqB2iDJvIlcNqloLxKJIBwOi7w3kC906Dno9p5X69///vdx0EEH4eSTT8YHH3yAadOm4cknnyxoZkcixhhhMBblAl9fdRgLdOkDR3N8SLRQTttYt1NXV5c34Zqubgin04mGhgZYrVZhqEXihq7mTSZTnsCTZVmslxyKiXQ6LSIDdrsduVwO55xzDj7++GOMGzcOv/vd79DR0VHwwOP3+0V0hKzzge52T2rDptcjMWV8PEVPjCc94+vQfpJlWYhA2k60j4v96etLTwfWnu3sRtffnv+m02nccMMN2H333bFo0SL86U9/wkcffYR7770XTU1NIoROJ0aKVtEclh133BFtbW3i/RbqThoMlJahiM+zzz4LADjmmGMG7KyzmRSsvvJw8XtfyLKM888/H4sWLcL999+Ps846K08kG/cfRVjS6bRIBxjrtXw+n9jORijaQEMFi51AXgzkTGu01qf0CYn/WoKic3Scs1qtg/p8GIWLJElFzTYC8qMoRpxOJ3w+nzBUM66359gO4//pOakFuta2d61ht9tFYXq1HborLl4effRRzJ8/H0uXLsWkSZNw5513Yvr06di8eXPBwtA333wTZ599NhYvXowTTjgBy5cvx6xZs/DOO+9g7733rvRy+4Tyqp2dnXlusHRwJxGQSCQgy7I4iVO+upTUwsEHH4wNGzbgpJNOwj//+U8cddRRuPvuu3H++efn3Y+esxAkbChUbhxtTl4VdJKk+5KDJ3X3WK1WeDwesU5jXtpms8HpdOaFuqnuhIr6KDzf82RAVuvGNm06eFMnRltbG7LZLO6991688MILsFqtuPfee+HxePJSWCSOjD+yLCOZTIp8OKV8FEURkRJd18XwO4oEUbeJsa6HXG4pgtRXxIkOiP1hvJ/xqp+uJntG5miWktHsqyckTOx2O6644grsu+++mDt3Lt5++23MnDkTTz/9NPbff39xf+oYoUJHGuxInTA0rFJVVeFV0l9nFA0tpJoIqp0iU8FcLie8echRt+fnuPD7krBHc3FFqueeey4WLVqEl19+GRs3bsT48ePF32jiMwn0zs7OvM8A1W7Q6A9jlxgJ7mQyCbfbjZaWlrIXzvZsRaYCcPoe1iJOp1PUe4XD4ZI9n3oKF2N6eChQZMBqtYrOyZ7O1z1dr+m7Vu36jZECbWMaBVHIBHPY1qIX65Q0SCZNmoRvf/vb+O1vfwug+6A2fvx4fP/738eCBQt63f/MM89EPB7Hc889J277zne+g/322w9Lly4d8PUikQi8Xi/C4XBZv/zxeBz//Oc/xZW70+mE3+8vWENBYWo6Afr9/oLzOgYiFothzpw5ePLJJwEAP/7xj7F48eJB1VMYRxYYr0iNM5reeustnHbaafB6vcIVmAyiQqGQqO6nupa+bPDpKp9ek4baFSqgo4hVNBoVJ3Va55o1azB//nwAwOLFizF79mzRVVBsIR75ZBjfM4kW45UXgLyTllFEUIqODnZUN0QnRDoZ9jzx9fy3r3B1T2RZzotGKYoiRAa9FqU1NE3DCy+8gBkzZgjh8NFHH+HEE0/E5s2bYbfb8eCDD+L000/P+yxEIpG8+VC0XcjXxNhiTWuiFmvaXjQR2Ph+6D5kF0AThN98800cfvjhcLlcaG1tHXK+nCwL6CR61llnYd26dbjyyiuxYMECIcaMRenBYFDMz6J6MBIufUVSSLDLsozm5uayHahVVc3bb4FAQHQr+v3+flMotUAmk0FnZycAoL6+vmjxUSnhMlz03G/bK8FgsFedVjko5fxd0chLJpPB22+/jYULF4rbZFnGlClTsH79+oKPWb9+vThhEdOnT8dTTz1V8P49w/9UoV9oKvBQoJOYzWZDQ0ODSB/QScT4Lx0YaYQ9tfqV6gpptVrxpz/9CYsWLcLixYtx66234oMPPsBDDz00KGFGER+KjhjrACj6Qp0+6XQabW1tvbqdSGkP5KBJ4d1C835IeJCwMKaT7HY7XC4XPv30U/zsZz8D0O2mevbZZ4tWbjLLMnZQ9QWddBVFybN9p5MyRT2M4oTawUnUkd8MFXRSlIgEDkVNqF7HaKPec7YJPYZeq6dRl7HAmYSPMd0hSZKILtH0awB5n/Wdd94Z69atw3nnnYeXXnoJZ5xxBv7v//4P1157rYieUOojFAqJ7woJASqQpDRcNBoV37NQKJTXAUJ1RxTtCgaD+OKLL8QQT7/fD03TcP/99wMATj31VFgslgG/m5mshqX/32H3e4fvAotJ7lVwa+Scc87BunXr8Nhjj+HGG28Ugoxeh6aQq6oqTjpkvEjRjkLQfCO3212w8H6w9NxvDocDW7duFZ1zDQ0NNe0pQp/3WCyGjo6OoiZcFxIulIIdKRT6vm2PkLAu93Yo5fkqKl46OzuRy+XQ3Nycd3tzczM+/PDDgo9pbW0teP/W1taC91+8eDEWLVrU6/bVq1eXtUqfDKMsFgu++uorcSIeCCq+M7Zi9jVVuC8mTZqE+fPn47e//S1eeOEF7Lfffrj66qvzwuPFvgdjzpd+jEMln3rqKVHMm06nRSspTVw2pg+oAK5nEd1AazAKJzqRU3GtoihIpVL46U9/img0ij333BMzZszAxo0b80zECBpgSCckY+jfWFPT84dOWGQ+2DPlQydfu90u6mXoccY0jzGKYxQ/RiFjDFGXWh9A24vWSdAkYxIOa9as6fXYiy++GDabDU8//TR++ctfYu3atbjiiivyaguMXWNUw9PQ0NArPWIshKR6IEoTut1uUWPU3t4uCjD9fj+8Xi+y2azoMtp9993xwgsvDPi+0zlgyYbuw1N9xz+AbKZXxMpojkhr3rJlC2688cY8s0cS5alUSqTYgO56k/7EL6XOgO56mEq0K9N+y+VyaG1tRSqVgtvtRkNDQ9XboweCjomapolUcH/3NY7EcLvdIzpyUej7xgydQmn5vhjx3UYLFy7Mi9REIhGMHz8e06ZNq5mcsbEIEvh6hHwpofMZM2bgtNNOw2mnnYavvvoKCxYswO9//3ucddZZvV7LWJxmPJH3d+WoaRrWrl2L/fffX8xyURRFzDNqaGgoWiz1XANFEqLRKCKRiCgolqSvJ+QaW3u/973vYevWrWhpacFDDz0kBtnRc5MgpDZ0el808drYQUJQVIzERybz9cnQGCUx1idRxMNut4v6HrqvMZ1EdUNULGwUQlQLRSJoKGkHKog21lxls1m8+eabmDJlioiYUIoOAGbOnImHHnoI//u//4u//e1vUFUVq1at6tXFkk6nsXXrVoRCIZhMJuy4444Frde7urqwZcsWMavH5/PB7XbD6XSKltdEIpGXTl21ahWSySQmTJiAH/3oR0WdlEOxJLBhHQDgO9+ZDLv567oy+um5trlz52LJkiV47733cO211wL4ehIwiS0qDB3I4Rn4uoWXfIrKiaqqWLNmDaZOnQqz2Yyuri6kUilRtNtzLEGtQhc4AMQYhJ4YTSdHYqrISM/9xpQXypwUQ0XFC03dbGtry7u9ra0NLS0tBR/T0tJS0v37MtfqacJWberr6+HxeESYngp6jUWOAzFp0iS89dZbOO+88/Dqq69izpw5eO2113D99dcLX5O+Ih9kTGf0tDD+m8vl0NjYiN122w2xWAyBQABA9z7M5XKwWq1Ip9Ml5+Hpyp5OHo2NjcLQi4bTGVupb731VqxevRpmsxm33347JEnC1q1bhRCi+1NHEHWVGN8nzTyhuhSHwyEeb0xhUUt3T2FBQiSRSIgCXuOgPeoC6XmgpkgfpWBIyBit+fs7+Q4EeX5QnVAikRAzR4xijLYDCZkzzjgDu+66K04//XS8/fbbOOmkk7B69eo88Ww2m7Hrrrvik08+EeZ1uVxOmH4B3TVYmqZhzJgxeem1ZDIpopIWiwXNzc0wm83C/2f58uUAulM7xZy0uj1ovj6Ieb1e1Hmcfba0ExdddBGWLFmC5557Dlu2bIHT6UR7e7tI9+6www4DRluMZLNZMZ6iUscScoim6EVzc7MYTEhOs7WM2WwWn3dybe65j8ifhToCR/qkZaD2zi+jhVK2aUXFi8ViwQEHHIC1a9di1qxZAL6+wr/88ssLPmby5MlYu3YtfvjDH4rb1qxZg8mTJ1dyqcMCGYTF43ExKba9vV34m/T80vds7wO60wUPPfQQbrvtNvzmN7/Bfffdh7fffht/+MMfhB9MT1Mmo1Dp66qXnp/y2BRVINMmakGkyc4DUcg6nabO0gGbWnapK2jt2rW47bbbAABXX301Jk6cKNZkLHQ11onQv1Toa5yabRQaBHUQ0bTaQhhnD9GBmVJ/9J7I1I/SNsb2ZzqweTwekSIjIWNs5SavGJvNVlKKQJK+nl1E66RCWopEGccWAMAee+yB5cuX4/TTT8ebb76J4447Do888ojwJKIfp9MJTdNElHDr1q1wu91CwAFf+8SQiOrq6kI0GkVdXR0aGxtFWqa+vh6ffPIJ1q3rjqAcf/zxCIVC/TrGUoGsUYh5vR5YLQN/5vbee298+9vfxsaNG7Fs2TKcd955yGQycLlc2HHHHUs6aaqqKoYLVjJKQA67QPd2JYNLsiRobGys+U4YGh1A32ljypGKpMmMczQIF6Y2qHjaaP78+Tj//PNx4IEH4qCDDsKdd96JeDyOefPmAQDmzJmDcePGYfHixQCAK664AkcccQRuv/12HH/88VixYgX+/ve/4+677670UocNSkG0traKdtKeGAtejYWuJpMJFosF1157LQ4++GB873vfw7vvvotjjz0WDz74II4//vhB58qpvRXojrhQSoRaqKngrrGxsc/noGJWSm0Y58UA3VE0VVVFyoeEzZdffokFCxZA13WceeaZOP/884XwMraWG7dJz2JYACIKQPUZFDmhGT/GgmoqHOz505cQMRrWFSoI78/vxeVyiQgTFQGT4AKQJ2RKqYci4WuMDlB0ioQM/eyzzz54+OGHRWfOvHnzcO+99+aJOIqkGLvRPvvsM2iaBrfbDa/XK9qjjY8Bvu6KMrJy5UpomobJkydjwoQJSCQSSKVS8Pv9vUQBFVQDgMNeWr0aRYtOP/10bNy4EcuXL8fs2bPR2NgoTprGeisyMezru0JztQYTISsFinBRNBKA+KzVgpdGMZC7OLXPGh1xaTuycGHKTcXFy5lnnomOjg5cd911aG1txX777YdVq1aJotwvvvgi7wBy8MEHY/ny5fjpT3+Ka665Brvvvjueeuqpqnq8EMFgEFardUhTNXVdRyKRQCwWEwPXEolE3iTmnsKlpy8B0H1SOfzww7FmzRpcdNFFePfdd3HiiSfiJz/5CX72s5+J6c7FrjOXy4luDGN6p6urSwgAOklFo9FeBZ2qqoq5JyROaPikLMsIhUJCpFEKiwpts9ksfvKTnyAajeI73/kOli1bNuhtTCKFZvfQiZi2e7EUshMngy6jkDG2Pxfr90JCkAplaYAliR+bzSZqokodzknPX0jYAd3Rj2eeeQYnnHAC1q5di6uuugrLli0T3Us09VhVVTidzrxIjq7rcDqdeaFd8imh16PCZaD7s/zggw8CAL773e+ioaFBtNt3dXWJCA7Q3dVD+8ftdkOxFufcSkNSSUiecsopWLRoET799FNs2rQJRxxxhOiqMnbXARATcnu+JyBfvFQKEvomkynPEl+WZZFipjXW+mBAu90uvJJCoRAURRHbsK6ujoULU3aGpWD38ssv7zNN9Oqrr/a67fTTT8/zpagFMpmMCPmHw2ERsi82f04nK6obALpPkM3Nzb3yxNTNUqgzyGhypus6xo4diyeeeAKLFi3Cgw8+iFtuuQVvvvkm7rrrrn5H1xNGMUSmTg0NDeJ9NTQ0iPZGMmmjkyMNq+vq6hK1PDRHyGq1Cntu8kIhwUInC0pjnXTSSfjoo48wbtw4PPnkk2XpEjObzfD5fPB4PGIUAZ2AjR1DPW8zesH0J0JIUFJNDW0P4w+9Zk97cnKcpW1MUSCjlX0oFMqLTpB4MtrWD8blVZIkHH300XjyyScxc+ZMPPHEE3C5XLj//vuF6LBYLAiHw4jH42hqahLtxFRzQp99I1Rbkkwmxd/+/ve/Y9OmTbDZbDj99NNhsVjQ2NgorAMobUiiD+ju6nE4HEhkBm5LplQmtbm73W6MGTMGs2bNwiOPPIKHHnoIkyZNEidR2m82m01EzqgA2mKxiDosY8qokiddik5S1M2Iw+EQ9VzhcBh1dXUVW0e58Pl8aG9vz5v9xcKFqRQjvttouDCZTOJESOHceDxecEaQkb5EC7maFnpMXxbYPZ/XKGSWLFmCQw89FFdccQX++te/Yvr06Vi6dCm+/e1v9/u+jLUFPYULraWurk6MBCAh09XVJa6W6X1R9wmdzI2pGmpr7fl+FyxYgBdeeAE2mw1PPfVUn4XZg4VSNqVg7NTqSzjSD0V4qJiW3m8xFJrTQhEsOqmSwKPXNhYnA19HzMLhsHht6prqj+nTp+Oxxx7DaaedhoceeghOpxN33XWXMOH7/PPPkU6nRRGpxWIR0QsqxDW2DzudTvF5IPFCUZeTTz5ZdDdRpMZqtSIQCAgnZa/Xi7Fjx4oTndWk4OnLDhG/93zPZIIHQHQR5XI5bNmyBdOmTcMjjzyCF198EeFwWIxBoBolgpygadgmOQXTPq6keyi1/QN9zy/yer1iDEkqlap5EaAoCjwej3Dh5lQRU0lYvBQJnQTJPp06aKhLhoodqcV4MKKlFAqlBi688EIcfPDBOPXUU/Hhhx/i1FNPxW233YYf/OAH4j59ubuqqgqv19unYKITVTAYFOZ1VPzqcrnQ0NAginGpZXmgE+gjjzyCm2++GQCwbNkyHHjggaVuhopAqbq+RIgxKmasgQmHw4hEIgULhQtRSKRSGy85HJO1PgkbYw2LsQ2dUlDG99AzUtOzYHvWrFl46KGHcO655+L3v/89nE4nbrnlFuEoaywqBrqvoqnYPJVKoaOjQ3Qj2e32vJShruv405/+BKDwOAD63FKdEfn7UOG6IkvYd7yv1+Po9Sm9SlFLGtsRDAbxP//zP9h9993x8ccf4+WXX8Zll11W8PtG3VEejwfxeFxE6MifilyTyzl4k7rk6GLA5XL1+fxU4B6NRsUcoVov3iXBR7V5DFMpWLwMAmrPpjQKddREo9G8abV08qOD0HCMtt9rr72wceNGXHTRRVixYgWuvPJKfPXVV7jlllv6FRMDmcupqiqu/vx+P+x2O7xer7i6KvWg+ve//x0XXnghgO7OorPPPrukx1cTo7ix2WwifVZoKCV1BZXaTVRXVyc8diht0PNkQN0+xm4jSnnQIE6joAG602k0URrobl9OJBK46KKLcNttt8FkMuH73/++aCGn6JAxwmI2m8Uwwc7OTlGfQ3UPiUQCr7zyCgKBAMaOHYspU6bkrYGiHADQ1NQEs9ksOroymQz8fn8v4ZjL5RAKhfLmT1mtVsTjcfH3SCQCm82G+vp6XHLJJfjRj36EBx98sM+UNUERAxo4SEXruVwO7e3tsFgs4js/2BMytfVT3Q2lpQaaleRyuYSoMka1apnhOM4xDIuXIUCRFJfLJYY2Gk12rFYrxo4dW3aDq4FwuVxYvnw59t9/f/zkJz/B7bffjra2NixbtmxQ3gTG2gKXy4UxY8aU3N5rZNu2bZg1axZSqRSOP/54/PKXvxzU89QKxqgcGejRCIJIJCJOqj0HWQ70nPX19ejo6BB1Dz1Ny0ggF+o26jmF2vj/QCAAi8UiZiVdeOGFiMfj+OEPf4ibbroJZrMZ11xzDWKxmHg/xtQb1a4Y00g0+JKiUQ888ACA7qGJxshSKpVCMBiEruswm82or68XUUvyA+ns7ITN6cJj/2gHAJx1QAuioaAoCKXIFm0Dq9WKRCIhTNIaGhowZ84cLFy4EH//+9/x7rvvYr/99htwm1PBNK3JYrGIoaaZTAbRaDTP2Zjck/uip9+Pcd+SF9FAol+SJHF8icViBX1UGGZ7hMXLEKAOFjIKo1SBMfJCBy6PxzOsYVRJkvDjH/8Yzc3N+O53v4uHH34YHR0dePzxx4uuATFe7QJf17QMxbY8lUrhlFNOwZYtWzBx4kQ88sgjNd9JUQqUivB6vXnRBKpb6Ck0+oNSRl1dXSKSU8y+o88epXMI8m+hFFNXVxesVivcbjcuuOACbNu2DTfffDNuuOEGtLS0YN68eaIupOfryrIs0kjhcFhEeILBIAKBAF588UUA+Skj8i4BICJ4dCLuKYgCwRAWv9g9QmR/TwyKnhPblQQbDV+kzj1akyRJaGxsxKxZs/DnP/8Z9913H5YsWTLgdgO+7jLyer2w2+15BorpdDrPSZn2EaXWaO4V/b3nOAdj3Y2qqkV/7h0Oh2ipHinRF4apNCxeBgHVGBht2o1dGNR5YjxRdHZ2ihbYcubQB2LOnDlobGzEaaedhpdeeglHH300nn/++X69WgCIjhcSYl6vd8jhYF3Xcemll+Jvf/sbfD4fnnnmmT6LFUc6RiM54+clnU6jo6OjaIt6q9UqpqxGIhFRZzQYqAXX6XQKLx6qv0ilUrj00kuRy+Vw22234bLLLoPD4cCxxx4ruqEKva7T6YTNZhPizOFw4KGHHkI2m8W+++4rir1p0CVtl0LW90ZBFG3tELdns1n4fB7U19cLwUKixzh/qGfN1oUXXog///nPePjhh3HLLbfkCblCUHTK2GVEfjD02ac5U+TXQ4+h9JWRco2G4OgLw/Smtid/1RjpdBqBQADt7e2Ix+PQdV14NLS0tAi/C+DrE0VTU5O4UkqlUmhvb8/zPBkOjjvuOLzyyiuor6/Hxo0bccghh+Czzz4reF+aQxIIBERLb2NjY1ny2HfeeSceeOAByLKMRx99FLvvvvuQn3MkQJ+RpqYmcQJNJpNob29HOBwe8LNALroA8jxNBouiKGI9siyL7qFUKoWFCxeKGpELL7xQWBkUOjkbn8/pdKK+vh4TJkzAqlWrAHR7rmiahvb2dnzxxReijZaik33RsyttwoSdseuuu6Kuri6v2J1ME4Gv/X2MTJkyBTvttBNCoRCefPJJcbvRrdkIRVP6ExqUbmtoaEBLSwv8fr8o0icoqkR/L4fRHb0GRV8YZnuHxUuRUHswOaJSYSCJk74OTsYTBV3NJRIJtLe3IxKJDFgoWyxU50CdUJFIBIFAAMFgEJFIBHvvvTdeeeUV7Ljjjvj4449x8MEH41//+lfec2SzWXR0dIiDI3URlSNStHr1avzoRz8CANx2222YNm3akJ9zpKEoCvx+PxobG0XtSzweL+qzQO3Fuq4jEAiURfyS+VxDQwPq6urgdruRSqWwYMECnHPOOcjlcpg3bx7eeuutXlOt+2LTpk344IMPYDabMXv2bBGFJAdZarlubW1FZ2cn4vF43ntRVRVdXV1QlK8PTV5v4XEC0WhU+Ar1jOCRlcC5554LAFi6dCk6Ojqwbds28do9BUypxnQ0gsLn86G5uRnNzc1oaWnpJbLKgbG4l+rPGGZ7htNGRUIzfWj0e6kndKpfyGQyYq4RpZWM3R+E8eDU83dqj+3pRTIQDQ0NeOKJJ3Duuefiww8/xKGHHoo//vGPOPzww0VxKQ2x8/l8ZZvp8vHHH+PMM8+EpmmYO3du3tyq7REqVO35WaDC2L7EsN/vR2dnJ7LZLAKBQFEmhH1BhbtUhF1XVydSMKlUCosXL0Z7eztefvllzJ07FytXroTT6RwwzUfeLsccc4wodPV4PPB6vaIAllrL6e/hcFiMf0gkEt3Fsub+68No2+VyOXi9XtGRY2wjB4CTTjoJN954I9atW4ePPvoIO++8s3j/kUhEvJ9CKaNSqXTtlt1uRzQaRS6XGxFjAximkrB4KYGmpqYhPwd1Q6TTaeGLQR0pQ4X8FciNlQ6mRoO1HXbYAU888YS4oj7zzDPx29/+FlOnTgXQLdIaGxuHVJRrJBwO48QTT0QoFMJ3vvMdLF26lPP1/x/6LKRSKSEcyX3WbrfnjQyg371er/CACQaDA7baFoLs+ck1l7rhzGazENjRaBRLly7FOeecgw0bNuCcc87Bs88+i4MOOqjP/ZfNZvHwww8DAGbOnIlkMgmz2Yxx48aJlA61alMdDRnEkUcLzaHyNTSL502nM9DVtPgMq6oqUlD9mQLKsoydd94ZRx99NNauXYunn34aN954oxB/ZDJJIxEAiEGbtQhFX0KhEGKxWEVN9Bim1mHxUiVoflAymRRXUwDyDkZ9/U4GZEaRUowpHNHc3IyXX34Zs2fPxjPPPIOLL74Yt9xyC3bccUfU1dWV7eCtaRpmz56NDz/8EOPGjcMTTzxR0Qm9IxUayJhIJMRngaY6F4KECz2WHHYdDocwpevrpJbL5dDV1SXqmag7x4jFYkF9fT2cTiceeughnHzyydi0aRPOOOMMrFmzBnvssUfB5169ejXa2tpQX1+PI488Eul0GhaLpWChLNXJOJ1OpNNpbNmyBWazGbqu/38n669rbAKBLtjNX0c1KFpFKVl6z/Q9oB/6HF966aVYu3YtHn74Ydx4443CWDEWi4nJzcZ0cC1DnUcjZWgjw1QKFi9VplCh4XDgcrnwxBNP4H//939x991348c//jFmz56Nk08+uWyvcdNNN+H5558X1v9jxowp23OPRmi8ALXZ0sgA4xgBipaQDXs0GhWjKqhd2ehwSi3TJpMJuq6LKeYmk0n4mfSFzWbDHnvsgaeffhpHH300vvjiC8yaNQsvvvgidthhh15pEvJ2mTVrFrxer3CnpSLdQpAQo068urq67rqtRBJ3ndpd0O2wWmC1dKeVstmsEETNzc1FiY2ZM2eisbER27Ztw4svvoiZM2fC7XYLwzty1KX3XOu43W4xwZmjL8z2Sm3GR5lhQVEULF26FD/72c8AdNv1//nPfy7Lc69btw7XXnstAOCuu+6qGev/WodaiT0eD3w+H+rq6lBfX4/GxkZREDp27FjsvPPO2GWXXUTkhMzTaGI1zVwKhUKiUJWGJyqKMqBwMa5n9913x+rVq1FXV4dNmzbh7LPPxhdffJFXONrZ2YlnnnkGAHDGGWegqalJ1JP01alEXjOapoloDxXBNtTX4fhv74Hjv70HxrQ0o66uDh6PJ68mq1ihYbFYMGfOHADAvffeK94X+cxQqq6WU0ZG7Ha7KITurwuMYUYztf9NZSqKJEn4+c9/jvnz5wMALr74Yrz//vtDes7Ozk6cffbZ0DQN5557LubNm1eOpTIGZFmGz+cThbCapsFms2HMmDFiErTL5co7IZPNf11dXcnFpXvuuSeeeOIJOJ1OrF+/HpdffjlCoZCwDbj//vuRTqcxceJEHHXUUWJQJQBhiW+EhAtFkurr6weMIFBbOdn5l8IFF1wAAHj++eexdetWAF+3sKdSKUSj0RFllki1TsbZaQyzPcHihQEA/OIXv8A3v/lNxONxnHzyycIJtVSoo2jLli3YY4898Lvf/Y7D2hXE2BUWDocRj8fFRG+Pp9vYraWlBc3N3dGLhoaGQY2IAIBDDjkEy5Ytg8ViwQsvvICf/vSnYvbSo48+CgCYN2+eeH5KW9EMJqIY4aLmNDy0/jM8tP4zqDkNqVRKtPAbnXmLZc8998QhhxyCXC4nOqIA5Fn8J5PJESMEOPrCbO+weGEAdF+F/uhHP8JOO+2ETz75BLNnzx7UgfxXv/oVnn/+eVitVjz22GOD6oZhSoMGMwIQLqw9URRFtPsPFpPJhKOPPhpLliyBJEl46KGH8Nvf/hb/+c9/8Pbbb0OWZZx33nl5j6HoC51gjcLFarX2GXFRcxque/oDXPf0B0ir2bwpzIMds0GDQO+77z6R7komk2IUgK7rCIfDg3ruakDfLRoMyzDbEyxeGIHH48Fjjz0Gm82GF154Addff31Jj3/rrbewYMECAN1uuvvuu28llskUgKYiA93dOGSZX26cTidOOOEELF68GEB3UfYPfvADAMD06dN7FWWTWRu1gRuFS6FOp0JEwt0GfiaTaUhi+PTTT4fb7cann36K1157DUC3eJEkCS0tLeL/I8XBlqMvzPYMixcmj29961v4wx/+AABYtGgRnn322aIeFwwGceaZZyKbzeL000/HJZdcUsllMgVwu92iFiQajZbFO6gnNpsNiqLgvPPOEwXZ//jHPwDkD2EkqAA3Ho/jq6++Klm4AEAy1Z1y8vl8Q0pBOp1OnH322QCAe+65R3jGAN0OxrTtwuFwUW7CtQCtmWtfmO0NFi9ML+bMmSPm25x77rn46KOP+r2/ruu44IIL8Pnnn2OXXXbBPffcw3UuVcLlcokun1gsVvY0CHVDAcD3v/99XHbZZQC6hcVJJ53U6/66rgvTu3Q6DZvNVpJwIdxud1mmslPh7lNPPYVAIADga2M6KnCmmUkjwYLfZrOJuqL+vIEYZrTB4oUpyB133IFDDz0UkUgEJ598cr9piLvuugtPPvkkzGYzHn300VE7KXqkYLTxj8fjZRcwJF5UVcXtt9+O3//+93jqqad6tS5rmoauri5ks1nhrFvsdGVj5MNsNpfNjO3b3/42xo8fj0QigdWrVwPI93bx+XyQZVk4X48EuPaF2R5h8cIUxGw2489//jPGjBmDf//73/jud79b8Er0nXfewVVXXQUAuPXWW9nPpUZwOp3w+XwAIPxeyoWiKHnTsb/3ve/hiCOOyLtPNptFZ2cnMpkMJEnC2LFj4XA4+qzNIMfYYDCI1tZWdHR0iL95vd6yRfIkScKsWbMAAM899xyAfPFCwzOB7u1Gzru1DEdfmO0RFi9Mn7S0tGDlypUwm814/PHHceutt+b9PRKJ4IwzzkAmk8FJJ50kCjeZ2sDhcIgTMc0OKlcqxOl0AijcXpxOp8UASUVR0NjYKFJF2WwWmUwG2WxWrKm1tRXt7e0Ih8Pi+YxiZbCt3X1B4mX16tVQFKWXv4vVahWRnlAoVJYJ3pWGoy/M9gaPB2D6ZfLkyfjNb36DSy+9FAsXLsS3vvUtTJ06Fbqu4+KLL8ann36KHXfcEcuWLeM6lxqEun0CgYAYgkhzf+jE3fP3YvajxWIR1v+xWAwOh0Nc+ZNIMplMcLlcQpDQfaPRaK+uIUmSYLFYYLFYulNLsoJlc/+/X4xS3musww47DD6fD4FAAP/85z8xbdq0Xvcxjg8IhUKor68v6xrKDUVfVFVFLBYr2cSPYUYaLF6YAbnkkkuwceNGLFu2DGeddRbefvttrFmzBo8++igURcGKFStQV1dX7WUyfUBFssFgUExm7g8SMzRqwPgDQPyeTCYRDocRCARQX1+PaDQq2oztdjtsNluvNEY6nUYmk4HT6YTNZoPVaoXVaoXZbO4lmo6e2IxKIMsyjjnmGKxcuRIvvvhiQfFC4wM6OjqQTqcLCq5aw+PxoKurC/F4HA6HY0iePgxT6/CnmxkQSZJw11134b333sPGjRsxY8YM/Pe//wUA3HjjjZg8eXKVV8gMhM1mQ3NzM1RVhaZpQsT0/N04BLKY54xGo8hmswgEAnleLB6PR8xckiRJ/A50F/J6PJ6qRQdSqRSOPfZYrFy5Es888wzuuOOOgtEmGh8QCoUQjUZhtVrL0vFUKaxWK2w2G1KpFEKhEBoaGqq9JIapGCxemKKw2WxYuXIlDjjgAGzatAkAcNxxx+FHP/pRlVfGFAsNb+wPo5gBIISH8Xfjj9PpFNEWilb0NzDRZDIhEAggkUjA7Xb3maJScxqe+scWAMCsb42DuYypo2QyiSOPPBI2mw3/+c9/8P7772OfffYpeF+Hw4F0Oo1kMolgMIjGxsaaHt7o9XpFdCuRSIjOMIYZbdTut5CpOcaPH4/HHnsMFosFO+64Ix588MGaPpAzpSPLMsxmM2w2m0jrUC2K2WyGyWTKq41xuVyQJAmKoqChoWHASc9kcqdpWt68o56oOQ0/fvxf+PHj/4KaK18BaiaTQSaTgcPhwJQpUwB0e770h8/ng6IoyOVyNT8+QFGUPKdlLt5lRit85mFK4sgjj8R///tffPDBB2hsbKz2cpgqYzKZ0NzcjKampqK7gqiTZ7jbepPJJLq6ugB0p1hOPvlkAAOLF4oo0XPU+vgAp9MJs9kMTdNqXmwxzGBh8cKUzNixY8tmGsaMfIrtUCIcDodomx4uH5VoNCq6oKiAeebMmZBlGe+88w6++OKLfh9vsVhGzPgASZKESWEymUQ6na7yihim/LB4YRhmWKFaGQAVHyhIVv/kEO1yuYTnTGNjIw455BAAwNNPPz3gc42k8QEWi0Vs43A4XNNrZZjBwOKFYZhhh06s5KVSCXK5HDo7O8XkaJ/P16vDiQzrBkodEX6/f8SMD/B4PFAUBdlslp13mVFHRcVLIBDA7Nmz4fF44PP5cMEFF/T7JQoEAvj+97+Pb3zjG7Db7dhxxx3xgx/8gPO2DDPKMI4YqET0RVVVdHZ2QlVVyLKM+vr6gp03NEzytddeE4Ma+0OW5REzPsCYPqKWdoYZLVRUvMyePRsffPAB1qxZg+eeew6vv/46Lr744j7vv3XrVmzduhW33XYb3n//fTzwwANYtWqVmATLMMzowThioJwW/KlUCp2dncjlcjCZTGhoaOjTn2XXXXfFPvvsg1wuh+eff76o5x9J4wOoawxAWedbMUy1qZjPy6ZNm7Bq1Sps3LhRDOtbsmQJZsyYgdtuuw1jx47t9Zi9994bK1euFP/fdddd8ctf/hLnnnsustksO0YyzCiCWrDJk8ToYGtRZNx1zv7i92KJxWIinWO1WkWapz9mzZqF9957D0899RTOO++8ol5nJI0PYO8XZjRSMTWwfv16+Hy+vCnDU6ZMgSzLeOutt0Sb4kCEw2F4PJ4+hUs6nc6rpqcDl6qqFculj0ZoW/E2G1mM9P1mtVrF1Gur1ZrXtTRtz26HWF3LQdX6j27ouo5wOCzamJ1OJzweT1HjEE444QTccMMNWLVqFSKRiEhnDYTL5UJHRwdUVYUkSSWNDxju/Wa32xEOh9HV1SV8epjSGenft1qnlO1aMfHS2tqKpqam/BczmVBXV4fW1tainqOzsxM33HBDv6mmxYsXY9GiRb1uX716NV9hDII1a9ZUewnMIBjJ+y0UCkHTNDgcjgFN7gqh63peTUepz6PrOhoaGtDZ2Ymbb74ZBx10UNGPTafTombH7XaXPAF7OPdbOBxGLpeDxWJhq4MhMpK/b7VMKR5KJYuXBQsW4Oabb+73PmQfPxQikQiOP/547LXXXvj5z3/e5/0WLlyI+fPn5z1u/PjxmDZtGk9WLQFVVbFmzRpMnTq15AMwUz1Gw36Lx+MIh8MwmUzigieb07BmUzsAYOqeTTD1kTrSdR2BQADpdBqSJKGurm7AEQiFOPPMM3HXXXdh69atmDFjRkmPDQaDSCaTUBSl6PEB1dhvqqqio6MDAFBfXz+o7bS9Mxq+b7VMKR18JYuXq666CnPnzu33PrvssgtaWlrQ3t6edzsNcGtpaen38dFoFMceeyzcbjeefPLJfj8kNJW2J2azmT9cg4C328hkJO83r9eLZDIJXdeRy+Vgs9mg6ln84NF/AQD+ff10mM29D1Xkt6JpGiwWCxoaGga9DU455RTcddddeO6558RU7WJpbGxEe3u7GB9gHKkw0PMM534zm83w+XyIx+OIx+NwOp0lmQsyXzOSv2+1TCnbtGTx0tjYWJQt/OTJkxEKhfD222/jgAMOAAC88sor0DQNkyZN6vNxkUgE06dPh9VqxTPPPDOoMDLDMCMHMq2LxWKIx+NFf+dDoRBSqRQkSUJ9ff2QTiaHHXYY/H4/Ojs78eabb+Kwww4r+rE0PqCrqwvZbBbZbFakkhRFgdlszpsPVU3B4PF4kEqlkMvlEI1GOTrNjFgqVrW155574thjj8VFF12EDRs24I033sDll1+Os846S3QabdmyBRMnTsSGDRsAdAuXadOmIR6P47777kMkEkFraytaW1truh2RYZihUappXTgcFoMd/X5/n63QxWI2m3HCCScAKN6wzojFYkFTUxP8fr+YLQR0G+WlUilEIhF0dnaitbUVHR0dCIfDyGQywz440ej9EovFuPCUGbFUtOT8kUcewcSJE3HMMcdgxowZOPTQQ3H33XeLv6uqis2bN4sinXfeeQdvvfUW3nvvPey2224YM2aM+Pnyyy8ruVSGYapIKaZ10WhU3Mfv95ctOmt02x2MnT69B6/Xi8bGRowZMwYNDQ3weDyw2WyQZRm6rkNVVcTjccRiMbS2tqKzsxPRaBSZTGZYbPyN3i+BQADxeJzHBzAjjooap9TV1WH58uV9/n3ChAl5X5ojjzySv0QMs53idDqRTCa7i1+thduVY7GYmFPk9XqLbmsuhunTp8Nms+E///kP3n//feyzzz5Dej5JkkS6iMjlcshkMojH46KwN5PJIJPJIBqNQpIkUcdntVor5m3l9Xqhqqqo04lGo3A6nXA6ndxGzYwI+FPKMExNQCd6XdeRSCR7/T2RSIhuBI/HI1JN5cLpdGLq1KkABpc6KgZjdMbn86G5uRk+nw92u11EZlKpFMLhMNrb29HW1iZqe8p5YacoCpqamuDz+WAymaBpGqLRKNra2kRLNcPUMixeGIapGch/JJHITx0lk0lhb+9yuSrmU1LqoMahoigKHA4H/H4/Wlpa0NjYCI/HIwz7crkcEokEAoEAWltbEQgEkEgkylIrI0kSHA6HqNUxm83QdR3xeBxtbW0IBoNcE8PULOy3zzBMzWCz2aAoCpRcFr848RuwWqzQsiqi4RCAr51zK8XMmTMhyzLeeecdfPHFF9hxxx0r9lqFoBZcl8sFXdeRyWSQSqVEhxD9DnRHqux2u9hmQ8Fut8NutyOdTiMWiyGdTosUns1mg8vlGnJRNMOUExYvDMPUFC6XC7lwGNN2655G39XVBV3XRbqlkjQ2NuKQQw7BunXr8PTTT+P73/9+RV+vP4z1L1SjQuJFVVVRKxMOh2E2m0Uh7lBaxun1VFVFLBZDMpkUrynLclE/iqIMWUwxzECweGEYpqZwOBzC7p+Ei81mg8/nG5bXnzVrFtatW4ennnqqquKlJxSVcbvdeVEYai9XVRXRaFTU1dhstkFHS8xmM/x+P9xutxAxmqYVna6yWq01PaySGfmweGEYpqaQJAkWmx1rP9gKADhs9wb4/f5hM3c76aSTcNVVV+G1115DIBBAXV3dsLxuKSiKIrqDNE3LEzK5XA6xWAyxWAyyLMNms8Fut8NisZS8DU0mE3w+H7xeL3K5nBAwxt97/uRyOTEwl0cQMJWCxQvDMDWH2WrDj5/9DwDgg0W7Dasr7a677op99tkH7733Hp5//nmcd955w/bag0GWZTgcDjgcDui6LupV0uk0NE1DIpFAIpGAJEkitWSz2UrappIkFd22HQ6HhY8NixemUnC3EcMwNYexZqIadvrD3XVULkig+P1+NDc3o76+Hk6nE4qiQNd1JJNJBINB0bmUTqfLvgaXywVJkpBOp5HJZMr+/AwDsHhhGIbpBYmXVatWiTEEIw0q+PV6vWhubkZDQwNcLhdMJpPwk+nq6kIsFivr6xrdkslQkGHKDYsXhmGYHnzrW9/C+PHjkUgk8PLLL1d7OWXBYrHA4/GgqakJTU1NcDgcALpnyoXD4bKa4LndbgDFz6pimFJh8cIwDNMDSZJGbOqoGIyFuED3PKlAIFC2QZEcfWEqDYsXhmGYApB4efLJJ0ds6mggnE4n6urqRI1KZ2dn2UYDUPSFfGkYppyweGEYhinAEUccgR133BHBYBArV66s9nIqhs1mQ0NDAxRFQTabRUdHR1kKbU0mk4i+lLuuhmFYvDAMU3OYFRnXn/Q/uP6k/4FZqc5hSlEUXHjhhQCAP/zhD1VZw3BhNpvR0NAAs9kMTdPQ1dVVlmgTzaBKJpPIZrNDfj6GIVi8MAxTc5gVGXMmT8CcyROqJl4A4IILLoCiKPjrX/+KDz74oGrrGA4URUFDQwNsNht0XUcwGBxyxITGFgBc+8KUFxYvDMMwfTB27FjMnDkTAHD33XdXeTWVR5Ik1NXVwel0AujuRAqFQkPqRKLaF46+MOWExQvDMDVHTtOx/tMurP+0CzmtfC28g+GSSy4BADz00EOjtnC3J16vV3QiJRKJIXUimc1m4bTLtS9MuWDxwjBMzZHO5nD2PX/D2ff8DelsebpfBsu0adMwYcIEhEIhPPbYY1Vdy3DidDpRX19flk4kY/SlXN1MzPYNixeGYZh+kGUZF110EYDRX7jbE6vV2qsTaTBtzxaLBVarFbquc/SFKQssXhiGYQZg3rx5MJlMWL9+Pd57771qL2dY6dmJ1NnZOaiZSNR5lEgkOPrCDBkWLwzDMAMwZswYnHjiiQC2v+gL0N2JVF9fL6Ing2mltlqtsFgs0HUd8Xi8QitlthdYvDAMwxQBFe7+8Y9/RCKRqPJqhh9ZllFXVyeM5wbTSk21L/F4vGyjCJjtExYvDMMwRTBlyhTssssuiEQiePTRR6u9nKogSRL8fr9IAdFQx2KxWq0wm81c+8IMGRYvDMMwRbA9F+72xOPx9BrqWKwXDEdfmHLA4oVhmJrDJMtYeNxELDxuIkxy7RymqHD3rbfewj//+c9qL6eqGIc6plIpdHV1FSVGbDabiL5w7QszWGrnqMAwDPP/sZhkXHLErrjkiF1hMdXOYaq5uRknn3wyAI6+AN1CpL6+HrIsI5PJFO0FQ2mneDw+JPdeZvuldo4KDMMwIwAq3H344Ye5bgPdHi6lesHY7XaYTCZomsbRF2ZQsHhhGKbmyGk6/vllCP/8MlT18QA9Oeqoo7DbbrshGo1ixYoV1V5OTWAymfK8YIqpgaHal1gsxtEXpmRYvDAMU3OkszmcdNcbOOmuN6o+HqAnXLhbGPKCURQFuVxuwHZyY/SFI1hMqbB4YRiGKZG5c+fCbDbj73//O955551qL6dmkGVZ1LMUE1HhziNmsLB4YRiGKZGmpiaccsopADj60hOHwwFZlpHL5QZ04bXb7SLVxLUvTClUVLwEAgHMnj0bHo8HPp8PF1xwQdHhQV3Xcdxxx0GSJDz11FOVXCbDMEzJUOHu8uXLEY1Gq7ya2kGSJBF9KWa7GGtfOPrCFEtFxcvs2bPxwQcfYM2aNXjuuefw+uuv4+KLLy7qsXfeeSckSark8hiGYQbNkUceiT322AOxWAx/+tOfqr2cmsLpdIroy0C1L0bfF659YYqlYuJl06ZNWLVqFe69915MmjQJhx56KJYsWYIVK1Zg69at/T723Xffxe23345ly5ZVankMwzBDQpIkcTHGqaN8jNGXYgSJx+MB0F37whOnmWIwVeqJ169fD5/PhwMPPFDcNmXKFMiyjLfeeksYPfUkkUjgnHPOwV133YWWlpYBXyedTueNZ49EIgAAVVUH9Bpgvoa2FW+zkcVo3W+qmjX8rkKVarOV9pxzzsE111yDd955B3/7299wwAEHFPW40brfjFgsFuRyOaiqikgkIgY6FkKWZUiShEwmg2AwKEYP1Brbw36rJqVs14qJl9bWVjQ1NeW/mMmEuro6tLa29vm4K6+8EgcffDBOOumkol5n8eLFWLRoUa/bV69eDYfDUdqiGaxZs6baS2AGwWjbb1kNOHaH7sDwy6tXo4ZMdnvxne98B6+//jquu+46XHbZZSU9drTtt54kk0kkk0nIsgyfz9fvfVVVFTUyXq8XiqIMwwoHx2jfb9WilGntJYuXBQsW4Oabb+73Pps2bSr1aQEAzzzzDF555RX84x//KPoxCxcuxPz588X/I5EIxo8fj2nTpolQJDMwqqpizZo1mDp1Ksxmc7WXwxTJaN5vJ1Z7AUXidrtxzDHH4M0338Sf/vSnoo47o3m/GdE0De3t7dA0DX6/v9/oCwB0dXUhnU7D4XAMKHaqwfay36oFZU6KoWTxctVVV2Hu3Ln93meXXXZBS0sL2tvb827PZrMIBAJ9poNeeeUVfPrpp70+tKeeeioOO+wwvPrqq70eY7VaYbVae91uNpv5wzUIeLuNTHi/VY+jjjoKEydOxIcffojHHnsMl156adGP3R72m8/nQzQaRTqdHlDY1dXVobOzE6qqQpIkmEwVSw4Mie1hv1WDUrZpyZ+MxsZGNDY2Dni/yZMnIxQK4e233xZ54FdeeQWapmHSpEkFH7NgwQJceOGFebfts88++NWvfoWZM2eWulSGYUYomqbjk47uQs/dGl2Q5drtPKTC3fnz5+Oee+4pSbxsDzidTsRiMaiqilQqBZvN1ud9LRYLbDYbUqkUotEo/H7/MK6UGUlULJO855574thjj8VFF12EDRs24I033sDll1+Os846C2PHjgUAbNmyBRMnTsSGDRsAAC0tLdh7773zfgBgxx13xM4771yppTIMU2OksjlM+9XrmPar15GqsfEAhZgzZw5MJhP+8Y9/4N///ne1l1NTyLIMp9MJoDTfl2QyyYWxTJ9UtAzukUcewcSJE3HMMcdgxowZOPTQQ3H33XeLv6uqis2bN5dUpMMwDFNr1NfXY/r06QDAni8FcLlckCRJRF/6w2w2i9oYNv9j+qKiCcW6ujosX768z79PmDBhwNkXPG2UYZiRwDnnnIPnn38ef/rTn3D99dezyaYBir7EYjHEYrF+U0dAd/QlmUwilUpBVVWuL2F6UcMNiAzDMCOHE088EXa7HZ9++ik2btxY7eXUHBR9yWQyed5chTCZTMLqopQOFGb7gcULwzBMGXC5XMKfilNHvRls7Us6nUYmk6no2piRB4sXhmGYMnH22WcDAFasWME29wVwOp1FR18URRFih6MvTE9YvDAMw5SJY489Fn6/H62trXjttdeqvZyaQ1EUkQ4qJvpSSqqJ2b5g8cIwTM1hkmVcfPguuPjwXWCSR85hymKx4NRTTwWAfpsVtmeMgmSgdFCpYofZfhg5RwWGYbYbLCYZ18zYE9fM2BOWWh5sVIBzzjkHALBy5UqOFhSgVEHidruF2BmozZrZfhhZRwWGYZga5/DDD8eYMWMQCoWwatWqai+nJnG5XACKK8YttdCX2T5g8cIwTM2haTq+DCTwZSABTRtZXk+KouCss84CwF1HfTGY2hdZlqGqKpuaMgBYvDAMU4OksjkcdstfcNgtfxkR4wF6Ql1HzzzzDGKxWJVXU5sYW6EHGgMgy7KI1kSjUTYvZVi8MAzDlJsDDzwQu+22G5LJJJ5++ulqL6cmURRFjAEoRuA5nU4oioJcLseCkGHxwjAMU24kSRLRF04d9Y1xCGM2m+33vpIkwePxAOgWO5qmVXx9TO3C4oVhGKYCkHh56aWX0NXVVeXV1CYmk0nMOSommmK322E2m6HrOhfvbueweGEYhqkAe+65J/bbbz9ks1k8/vjj1V5OzUK1LMlksihXYq/XCwCIx+MDRmuY0QuLF4ZhmApBni9sWNc3FosFFosFuq4jHo8XdX+K1vDYgO0XFi8MwzAV4swzzwQArFu3Dl9++WWVV1O7UO1LPB4vqpaFal9SqRQPbdxOYfHCMEzNocgSzvvOTjjvOztBkaVqL2fQ7LjjjjjssMOg6zoeffTRai+nZrFaraKWpZjoi8lkEsZ14XC40stjahAWLwzD1BxWk4IbZu2NG2btDatJqfZyhgR3HRUH1b7E4/GifFxobICqqkgmk5VeHlNjsHhhGIapIKeffjpMJhPeeecdbN68udrLqVnsdjtMJhM0TSsq+mI0rotEImxct53B4oVhmJpD13V0xdLoiqVH/EmpoaEBU6dOBcDRl4EoNfricrmEcV0xgocZPbB4YRim5kiqORzwi5dxwC9eRlIdeeMBemLsOhrpYqyS2O12IUaKSQVJkiSKfdm4bvuCxQvDMEyFOemkk2Cz2fDxxx/jnXfeqfZyahZJkkQhbrEjABwOB8xmMzRNY+O67QgWLwzDMBXG7XbjxBNPBMCeLwPhdDohyzKy2WzRhbjUOp1IJNi4bjuBxQvDMMwwQF1HK1asKMpJdntlMNEXq9UKq9XKYwO2I1i8MAzDDAPHHXccvF4vtm7dir/+9a/VXk5N43Q6RRt0Op0u6jEUfUkmk2xctx3A4oVhGGYYsFqtOPXUUwGADesGQJZlEX0pNpJiNpvhcDgA8NiA7QEWLwzDMMMEdR2tXLkSqqpWeTW1DUVfMplM0ZEUMq7LZDJIpVIVXiFTTVi8MAxTcyiyhFP33wGn7r/DiB4P0JMjjzwSLS0tCAaDePfdd6u9nJpGURTY7XYAxde+KIoivGLC4TC3pY9iWLwwDFNzWE0Kbj9jX9x+xr4jfjyAEUVRxLDG119/vcqrqX1IiKRSqaIjVUbjumJFDzPyYPHCMAwzjFDX0caNGzm1MQAmk6nk6IskSaJ4NxaLbTedXZqmIZ1OIxaLIRQKoaOjA9u2bcO2bdvQ3t6Orq4uhEIhRKNRJBIJpNNpZLPZERudMlV7AQzDMD3RdV0469rNCiRp9KSOvv3tb2PcuHHYsmUL/vKXvwj/F6YwLpcLyWQSyWQSbrcbJtPApy273S5O0OFwGHV1dcOw0uFB13Vks1moqir+VVW1X3fhbDbbr/+NLMuQZRlWqxVOp7OobVxtOPLCMEzNkVRz2Ou6l7DXdS+NivEARmRZxgknnAAAeOaZZ6q8mtrHbDbDarUCKD76AgBerxdAd8pptES4stks2tvb0dHRgVAohFgshnQ6LYSLyWSCzWaD2+1GXV0dmpqa0NTUhPr6evh8PrjdbjgcDlitVphMJnFRoGkastks4vG4iNLU+jarmHgJBAKYPXs2PB4PfD4fLrjggqI+eOvXr8fRRx8Np9MJj8eDww8/nMedMwwzqqBoy3PPPcfzeIqA5hclEomiO49MJtOoK94NhULI5XJ5URKfz4eGhgaMGTMGTU1NqKurg9vths1mg8lkgslkgtVqhcPhgNvths/nQ319PZqamjBmzJi8x9lsNgBAOp1GIBBAW1tbzc6Mqph4mT17Nj744AOsWbMGzz33HF5//XVcfPHF/T5m/fr1OPbYYzFt2jRs2LABGzduxOWXXw5Z5gARwzCjhyOOOAIOhwNtbW146623qr2cmsdisQgPl2AwWLQQcbvdo6Z4Nx6PI5PJQJIkNDY2or6+Hl6vFw6HAxaLZdCpVUmSRMSmrq4Ozc3NcLlckGUZuVwOkUgEbW1tCIVCNWX+V5HE1qZNm7Bq1Sps3LgRBx54IABgyZIlmDFjBm677TaMHTu24OOuvPJK/OAHP8CCBQvEbd/4xjcqsUSGYZiqYbFYcMABB2DdunV46qmnMHny5Govqebxer1Ip9PI5XIIh8Pw+XwDPoaKd4PBIGKxGBwOBxRl5HWvkYgAup2EK/keFEWBx+OB2+1GMplEPB6HqqpIJBJIJBIwm81wOp2w2+1VrUWriHhZv349fD6fEC4AMGXKFMiyjLfeegsnn3xyr8e0t7fjrbfewuzZs3HwwQfj008/xcSJE/HLX/4Shx56aJ+vlU6n8+yjaQdTERNTHLSteJuNLEbrflPVrOF3Fao08kP+RlRVxaRJk7Bu3To8+eST+MUvflHtJY0IXC4XOjs7EQ6HoSiKSHP0h8lkgizLSKfT6OzsHFLxbrW+b11dXchkMrBYLLBYLMP2+mazGT6fD5lMBvF4XLSsJxIJyLKM5ubmsgqYUt5XRcRLa2srmpqa8l/IZEJdXR1aW1sLPuY///kPAODnP/85brvtNuy333546KGHcMwxx+D999/H7rvvXvBxixcvxqJFi3rdvnr1ahFmZIpnzZo11V4CMwhG235L5wA6PL300mpYR97F8oDsv//+MJlM+Pjjj3H33Xdjhx12qPaSRgSJRAKpVAqSJMHr9RZVVkDRGqBbAFksliGtYTi/b+l0GvF4HEB39KmakSNqx06n01AURdQilYtEIlH0fUsSLwsWLMDNN9/c7302bdpUylMKqCDokksuwbx58wAA3/rWt7B27VosW7YMixcvLvi4hQsXYv78+eL/kUgE48ePx7Rp00SvPzMwqqpizZo1mDp1Ksxmc7WXwxTJaN1viUwWP9nwCgBg+vRpcFhqv3WzFGi/HXXUUVizZg1CodCANYFMN7quo7OzE6qqijqNYohEIojFYlAUBU1NTYOKGAz3903TNLS3t0PTNHg8HlGAXAtomlb2etRSZlKVdES46qqrMHfu3H7vs8suu6ClpQXt7e15t2ezWQQCAbS0tBR83JgxYwAAe+21V97te+65J7744os+X49GoffEbDaPqoP5cMHbbWQy2vabFTJm7NN9rLBaLDCbR2HoBcCsWbOwZs0aPPvss/i///u/ai9nxNDY2IjOzk7kcjmoqlpUlL2urg7ZbBa5XA7pdHpIUYPh+r4Fg0GRHvP5fKPK76gQpWzTksRLY2MjGhsbB7zf5MmTEQqF8Pbbb+OAAw4AALzyyivQNA2TJk0q+JgJEyZg7Nix2Lx5c97tH330EY477rhSlskwzAjHZlbwu9kHVHsZFef444/HZZddhrfeegvbtm0TF3FM/5jNZrjdbkQiEYTDYVit1gHTKSOteDeVSgmbkO1BuJRKRXqQ99xzTxx77LG46KKLsGHDBrzxxhu4/PLLcdZZZ4lOoy1btmDixInYsGEDgO4P1o9//GP85je/weOPP45PPvkE1157LT788ENccMEFlVgmwzBMVRk7dqy4oGPDutKg2hVd1xEMBot6jN1uh9Vqha7rogamFtE0La9GZzRFVctFxQxUHnnkEUycOBHHHHMMZsyYgUMPPRR33323+Luqqti8eXNegc4Pf/hDLFy4EFdeeSX23XdfrF27FmvWrMGuu+5aqWUyDMNUlVmzZgEAnnrqqaquYyTi9/shSRIymUzRPi5erxeSJNW0824kEkEul4PJZCp7UexooWJVcHV1dVi+fHmff58wYUJBo6EFCxbk+bwwDLP9kchksdd1LwEA/n399FFXsGvkpJNOwsKFC7F27VpEIhFuNCgBRVHg9XrFwEGr1TpglMJkMsHpdCIWi4mUUy2lZNLptLio53RR37B1LcMwTBWZOHEi9thjD6iqilWrVlV7OSMOh8MBm80GXdcRCoWKct+tVeddeg8A4HQ6h9zSPZph8cIwDFNFJEni1NEQ8fl8kGUZqqoiGo0OeH8q3gW6hz32N3F5OIlGo8jlcsLllukbFi8MwzBVhsTL888/X1PzY0YKsiyLcQGxWKyobVhrxbvGuh2qy2H6hsULwzBMlZk0aRKam5sRiUTw2muvVXs5IxKbzVby8EYSCel0uiSDtHJjTBfZ7faixh5s77B4YRiGqTKyLOPEE08EwKmjoUD2+cZxAP1hMpnyIjbkqzLcUOpKlmV4vd6qrGGkweKFYRimBqDU0dNPPy3GpTClIUkS/H4/gO45OcahvX1ht9uF7X4oFBr2oYvZbDYvXVRuy/3RCm8lhmFqDlmScNQ3GnHUNxohbye5/6OPPhoulwtbtmzB22+/Xe3ljFgsFgucTicAIBwOF5U+8ng8omMpEAggl8tVepkC6pCy2Wyw2+3D9rojHRYvDMPUHDazgvvnHYT75x0E2yida9QTm82GY489FkB39GWk0tbWVtJ04EpArdDGqMZA+P1+mEwm5HK5omtmhkoikUAmkxETspniYfHCMAxTI4z0lukNGzZgwoQJmDJlyrCc/PvCWDsSjUaLaoWWJAl1dXWQZRmZTKbiHUiapokiYY/HU9NzlmoRFi8MwzA1wowZM2AymfDBBx/gk08+qfZySkJVVVx44YVIpVJYv349Vq9eXdX12Gw20bVDnTwDYTKZ8mpmKmlgFw6HoWkazGazSHMxxcPihWGYmiORyWLPa1dhz2tXIZGpDQOx4cDv9+PII48EMPJSR7fddhvee+898f9bbrmliqvphlqhM5kM4vF4UY+xWq0iahOJRIoq+i2VdDqdNzGaKR0WLwzD1CRJNYekOnyFk7XCSSedBGBkpY4+/vhjLFq0CADwi1/8AiaTCa+88gr+/ve/V3VdRqdaGnZYDE6nM88zppwOvEZPF54YPXhYvDAMw9QQJF7eeOMNtLe3V3k1A6PrOi655BKk02lMnToV11xzDc4++2wAtRF9oRlBpTrper1eWCwWaJqGQCBQtvZ14wgAnhg9eFi8MAzD1BDjx4/HAQccAF3X8eyzz1Z7OQPywAMP4C9/+QvsdjuWLl0KSZLw4x//GACwcuXKmqjdoTRQKpVCKpUq6jFUwEtdS8FgcMjrUFWVRwCUCRYvDMMwNQZFX2q97qWtrQ1XXXUVAODnP/85dtllFwDAPvvsg+OOOw6apuGOO+6o5hIBAGazWRjRFev9AnR3LdXV1ZVthACPACgfLF4YhmFqDGqZXr16dUU7XobKD3/4QwSDQey3336YP39+3t9+8pOfAADuv//+mkh/ud1u4eNSiggxm815IwQGW8Abj8ehqmreRGtm8LB4YRiGqTH23ntv7LLLLkin01VvOe6LF154AStWrIAsy7j33nthMpny/n7EEUfgoIMOQiqVwm9/+9sqrfJrjEZw8Xi8pOndxhEC8Xi8ZBdeo2BiT5fywOKFYZiaQ5YkTNq5DpN2rttuxgMYkSQpb9ZRrRGLxXDppZcC6I6+HHDAAb3uI0mSiL789re/rYkIktVqFV1EZMtfLB6PRxTYplIptLe3F91+Takq4+gCZmiweGEYpuawmRU8eslkPHrJ5O1mPEBPqO7l2WefLWurbjm49tpr8cUXX2CnnXYSLdKFmDVrFnbbbTcEg0Hcd999w7jCvvF4PJBlGdlstmjxQbjdbtGFRN1LnZ2d/Q5zNBYJs6dL+WDxwjAMU4McfPDBaGhoQDAYxLp166q9HMHGjRvxm9/8BgCwdOlSkU4phKIo+NGPfgQAuOOOO4Z9YnMhBjM6wIiiKGhoaMgzwOvo6EA0Gu0VyTG2Z7tcrl6pNWbwsHhhGIapQUwmE2bOnAmgdlJHNAJA0zScc845YpBkf8yZMwdNTU344osv8Nhjjw3DKgfGbrfDarWW7P1ixOl0oqmpSXQNRaNRdHR05BX0kjEee7qUHxYvDMPUHIlMFvvfsAb737BmuxoP0BOqe7n33nvx0ksvVXcxAG6//Xb861//Ql1dHX71q18V9Ri73Y4rrrgCQLdpXTUHNhrx+XyiBXqw9TiKoqCuri7PD6arqwuhUAjpdFqkpei1mPLB4oVhmJokEM8gEC++I2Q0MmPGDEybNg3xeBwnnHAC/vjHP1ZtLZ988omob7njjjvQ1NRU9GMvvfRSOJ1O/Otf/6qZ7iljNCQSiaCtrU2435aKzWZDY2OjKMZNJBLo6uoC8HWUhykvLF4YhmFqFJPJhGeffRazZ89GNpvFnDlzcPPNNw979ELXdXzve99DKpXCMcccgzlz5pT0eL/fj4svvhgAcPPNN1diiYPC5XLB7XZDlmXkcjlEo1G0tbUhEAgU7cRLUC1NQ0ODqG0x1tcw5YXFC8MwTA1jsVjw0EMPicLXBQsW4IorrhhUhGCwPPjgg1i7di1sNpsYAVAqV155JUwmE/7yl79g48aNFVjl4HC73Whubobf74fFYgHQ3SEUCAQGFY2xWCxobGyE3+9HfX09ZJlPs5WAtyrDMEyNI8sybr31VlFnsmTJEpx11lklRwcGQ2tra94IgN12221QzzN+/Hicc845AIBbb721bOsrB5IkwW63o6GhAU1NTXC5XEOKxtDz8cToysHihWEYZoTwwx/+ECtWrIDFYsHjjz+OY489VszLqQSapmHOnDkIBAIFRwCUCkWPamVgYyFMJhM8Hk+f0ZhAIIDOzk5EIhEkk8ma8+DZXmDxwjAMM4I488wzsWrVKng8Hrz22ms47LDDsGXLloq81u233441a9bAbrfjkUceGXIkYZ999sGMGTNqZmBjf/QVjQGATCaDWCyGYDCI9vZ2tLa2oqurC5FIBKlUalhTetsrLF4Yhqk5ZEnCN3fw4ps7eLfL8QADcdRRR+H111/HmDFj8P7772Py5Mn497//XdbX2LhxI6655hoAwK9//WvstddeZXneWhvYWAwUjWlpaYHX64XP54PT6YTFYoEkSdA0TbRcU60MCZpwOIx4PI50Os2ipoyw3R/DMDWHzazgmcsPrfYyapp9990X69evx/Tp07F582YceuiheOaZZ3DooUPfbpFIBGeffTay2SxOO+00XHjhhWVYcTeHH344DjroIGzYsAFLlizBDTfcULbnHg4URYHD4RBRKF3Xkc1mkclkoKqq+CFB03MKtSRJMJlMBX/YC6Z4OPLCMAwzQtlpp53wxhtvYPLkyQgGg5g6dSqefPLJIT/vZZddhk8//RQ77rgj7r777rKeVCVJwtVXXw0AuOuuu2piYONQkCQJZrMZTqcTPp8PjY2NGDNmDBoaGuDz+eByuWCz2UT7tK7rUFUVyWQS0WgUwWAQHR0d2LZtG1pbW9HZ2YlgMIhoNIpkMolMJgNN06r8LmuPiomXQCCA2bNnw+PxwOfz4YILLhjwQ9ra2orzzjsPLS0tcDqd2H///bFy5cpKLZFhGGbEU19fj5dffhkzZ85EKpXCaaedht/97neDfr4//vGPePjhhyHLMpYvXw6/31/G1XZz0kknYffdd6+pgY3lRJIkWCwWOBwOeDwe1NXVoampCWPGjEFTUxPq6urg8XjgcDhgsVhELY2machkMnnCprOzE62trWhtbUVHRweCwSAikQii0Sji8TgSiQRSqZSI/ORyuZpxMa4kFRMvs2fPxgcffIA1a9bgueeew+uvvy5Mivpizpw52Lx5M5555hm89957OOWUU3DGGWfgH//4R6WWyTBMDZLM5HDITa/gkJteQTLDdQID4XA48MQTT+Diiy+Gpmm47LLLsHDhwpJPYh9//DH+93//F0B3W/QhhxxSieXmDWy89dZbkUwmK/I6tQaljGw2G1wuF3w+HxoaGtDS0oKWlhbhD2MUNorSPVVd0zQRsYnFYohGowiHwwiFQqIDqqOjA21tbdi2bRu2bt2K1tZWBIPBUdkRVRHxsmnTJqxatQr33nsvJk2ahEMPPRRLlizBihUrsHXr1j4f9+abb+L73/8+DjroIOyyyy746U9/Cp/Ph7fffrsSy2QYpkbRoWNLKIktoSR0jP6ryHJgMpmwdOlSUUNy00034fzzz0cmU9yIhUwmg7PPPhuxWAyHH364KNatFHPmzMFOO+2ELVu24Ne//nVFX2skIMsyzP+vvXuPi6rOHz/+mmG4DdeA4bagZfgQL1lekjARLVLEvIVrtpVd1WptLe8YWpYtanmpvOYjEyoXU1NzUwPDTTQWxGA3SxFJ19TQEBEEgQHO7w9/zDfyBsowc4b38/HwIZz5nMP7zJsz857D52Jvj7Ozc4PCxs/Pj4CAAAwGg+mOjaurK3q93rT0gIODAzqd7ooJ8erq6rh06RJnz56lpKTEpjoMm6V4ycjIwNPTk549e5q2RUVFodVqyczMvOZ+vXv3Zv369RQXF1NXV0dycjKVlZX069fPHGEKIYRN0Wg0xMfHs2bNGuzs7Pjkk08YPHgwpaWlN9z3tdde48CBA3h5efHZZ5+ZPvGbi5OTE2+//TYACQkJFBUVmfXnqVl9v5r6Ozb13THqZ/GtH87t7+9PYGAgAQEB+Pn54ePjY1r1uqKigrNnz3LhwgWb6ENjltFGhYWFVyzapdPp8PLyorCw8Jr7ff755zz66KN4e3uj0+nQ6/Vs3rz5ujM6/rE3d/1FWt/jWzRO/XMlz5m62GrejMaa331txKixrbsv5s7bE088gcFgYPTo0ezatYu+ffvy5ZdfEhAQcNX2KSkpvPvuuwB8+OGH+Pn5tcjv1MiRI3n33XfJzc1lzpw5Vj/3i9quN41Gg5ubG46OjpSVlVFVVUV1dTUXLlzA1dUVFxcXq1q+oCnPa5OKlxkzZtxwUa1Dhw415ZANzJo1i5KSEnbt2oWPjw9btmxh1KhRpKenc9ddd111n4SEBNNKp7+XkpKCXq+/6Vhaq9TUVEuHIG6CreWtqhbqX56+/joFR/PeBLAYc+dtzpw5vPXWW/znP/+hZ8+ezJ49m+Dg4AZtSkpKmDhxInB5FWudTsf27dvNGtfvjRgxgtzcXFasWEHnzp2vWWBZE7Veb0ajkYqKCtOfjzQaDU5OTjg5OVnFMO2KiopGt9UoTejR9dtvv5mW+b6Wdu3a8emnnzJ58mTOnz9v2l5TU4OTkxMbNmxgxIgRV+xXUFBASEgIBw8epHPnzqbtUVFRhISEsHLlyqv+vKvdeQkODqaoqAh3d/fGnlqrZzQaSU1N5aGHHpL1OFTEVvNWUV3D3W+lAfCfWQ+gd7CtKalaMm8///wzDz/8MEePHuW2225j8+bN9O7dG7jcJ2Lo0KGkpKTQpUsX9u3bh7Ozs1njuZohQ4bw9ddfM3LkSNatW9fiP7+xbOV6q6yspLS01NSR187ODjc3N4t/4C8tLcXHx4cLFy7c8P27Sa8IBoMBg8Fww3bh4eGUlJRw4MABevToAUBaWhp1dXWEhYVddZ/6iuuPt7Ds7Oyu+/c5R0dHHB0dr9hub2+v6l8uS5HnTZ1sLW/2yv99Crx8brZVvNRribx16NCBjIwMHn74YTIzM4mOjmbdunWMGDGCRYsWkZKSgrOzM+vXr7fYB74FCxaQkpLCxo0bmTJlyjXfJ6yF2q83e3t73NzcqKioMK2aXV5eTnV1tUVXwm7Kc2qWCDt27Eh0dDRjx44lKyuLffv2MWHCBEaPHk1gYCAAp06dIjQ0lKysLABCQ0MJCQlh/PjxZGVlUVBQYFpXY/jw4eYIUwhhpTRoaO/rSntfVzRY/na22vn4+JCWlsbQoUOprKwkNjaWyZMnM2PGDACWLFnSbNP/34yuXbvy9NNPAzB16tRWMU+JNdDr9fj6+uLh4YFWq8VoNPLbb7+pYmi12cqrzz77jNDQUB588EFiYmLo06cPH374oelxo9FIXl6e6Y6Lvb0927dvx2AwMGTIELp27UpSUhKJiYnExMSYK0whhBVydrAjdVIkqZMicXaw0Q4vLUyv17Np0yZeeOEFFEVh0aJFGI1GYmNjGTt2rKXD480338TJyYn09HS2bdtm6XBaDY1Gg4uLCz4+Puh0Ompra/ntt9+uWNbA2pjtXqyXl9d1/3Z5++23X1Fdt2/fXmbUFUIIM9HpdCxfvpzg4GBee+012rZty+rVq62is2ZQUBCvvvoqCQkJTJ8+3dR5WLQMnU6Hj48PxcXFVFdXc+7cOTw9PS3eD+ZarGeMlBBCCLPTaDTMnDmTn376idzcXLNM/3+zpk+fjre3N4cPH2bNmjWWDqfV0Wq1eHt7mzptl5SUNGqOIEuQ4kUIYXUuVdfy0KJveWjRt7I8gJl07NgRT09PS4fRgIeHB7Nnzwbg9ddfV/2ijWqk0Wi47bbbcHNzA+DixYsUFxdbXT8kKV6EEFZHQSH/7EXyz16U5QFamRdeeIE777yTwsJCFi5caOlwWi03Nzduu+02NBoNlZWVFBUVWdXMvFK8CCGEsBoODg4kJCQAlxdtvN6s7MK8nJ2dTUOnjUYjZ86c4eDBgyQmJvLJJ59YNDbpDSWEEMKqjBw5kl69epGVlcWcOXNYsWKFpUNqlQoLC8nKyiIjI4PvvvuO3NxcUx+Y0NBQnnzySYvFJsWLEEIIq6LRaHjnnXeIjIxk9erVTJw4kdDQUEuHZdMqKirIzs4mKyuLzMxMsrKyOHHixBXtnJyc6Nq1K+Hh4SiKYrGRalK8CCGEsDp9+/Zl6NChfPnll8yYMYMtW7ZYOiSbdezYMfr06cPp06cbbNdoNHTu3JlevXoRFhbGvffeS1BQEEajEa1WK8WLEEII8Ufz58/nq6++YuvWraSnpxMREWHpkGzS3LlzOX36ND4+PvTt29dUrPTo0cM06uj3ysrKcHR0tOiK1FK8CCGsjgYNf/J0Nn0tWqfQ0FCef/55Vq1axdSpU8nIyLCKCfVsyfHjx0lKSgJg27Zt3HfffTfc52oFTUuT0UZCCKvj7GDHvhkPsG/GA7I8QCv3xhtv4OLiQmZmpszAbgbz58+npqaGqKioRhUu1kKKFyGEEFbL39+fKVOmADBt2jQuXbpk4Yhsx6lTp0wzGcfHx1s4mqaR4kUIIYRVmzJlCn/60584duwY8+bNs3Q4NmPBggVUV1cTERFBZGSkpcNpEilehBBWp9JYy9Clexm6dC+VRlkeoLVzdXVlyZIlAMybN4/8/HzLBmQDCgsL+fDDDwGYNWuWhaNpOilehBBWp05R+O/JC/z35AXqrGxNFWEZsbGxDBw4kOrqaiZMmGB1a+2ozcKFC6msrCQsLIyoqChLh9NkUrwIIYSwehqNhqVLl+Lo6EhKSgobN260dEiqVVRUZJq1eNasWaocwSXFixBCCFUICQlhxowZALzyyiuUlZVZOCJ1Wrx4MeXl5XTv3p2YmBhLh3NTpHgRQgihGtOnT+fOO+/k9OnTvPHGG5YOR3XOnz/PBx98AFweYaTGuy4gxYsQQggVcXZ2Nr35vvfee/z3v/+1cETq8sEHH1BWVkaXLl0YNmyYpcO5aVK8CCGEUJVBgwYRGxtLbW0tL774InV1dZYOqUUcOXKEAQMGMHPmTGprmz4Kr7S01DRqKz4+3qLT+98q9UYuhLBpXi4OeLk4WDoMYaUWL16Mi4sL3333HYmJiZYOx+x27dpFWFgYqampJCQkMGbMGIxGY5OOsXz5cs6fP0+HDh0YOXKkmSJtGVK8CCGsjt5Bx/ezHuL7WQ+hd5Al2MSVgoODTX1epk6dyrlz5ywbkBktX76c6OhoSkpK6NKlCzqdjnXr1hEbG0tlZWWjjlFeXs7ChQsBmDlzJnZ26l52Q4oXIYQQqjRx4kQ6d+7MuXPnmDlzpqXDaXY1NTVMmDCBv/71r9TW1vLEE0+wf/9+tm7dipOTE9u2bSMmJqZRo65WrVpFUVER7dq14y9/+UsLRG9eUrwIIYRQJXt7e9N8JatXr+bf//63hSNqPufPnycmJoZly5YB8Pe//52kpCScnJyIiYlh586duLm5sXv3bqKioiguLr7msS5dusQ777wDQFxcHDqd+u9mSvEihLA6lcZaHl2VwaOrMmR5AHFdERERPPXUUyiKwksvvURNTY2lQ7pl+fn5hIeHk5qail6v54svviAuLq7BsObIyEjS0tLw9vYmKyuLyMhIfv3116se76OPPqKwsJA2bdowZsyYljoNs5LiRQhhdeoUhcxjxWQeK5blAcQNLViwAE9PT3Jyckx3YtQqLS2NsLAw8vLyCAoKYu/evYwYMeKqbXv27MmePXsICAjg4MGDREREcPz48QZtqqqqmD9/PnB5jhwHB9voBC/FixBCCFXz9fUlISEBuDwE+Fp3IKzdqlWrGDhwIOfPnycsLIz9+/fTrVu36+7TqVMn9u7dS7t27SgoKKBPnz4cOnTI9HhiYiInT54kICCAZ5991tyn0GKkeBFCCKF6Y8eO5d5776W0tJQpU6ZYOpwmqampYeLEibzwwgvU1NTw2GOPsXv3bvz9/Ru1f7t27UhPT6dTp06cOnWKvn378v3332M0Gk1F3bRp03BycjLnabQoKV6EEEKonp2dHStWrECj0bBu3TrS0tIsHVKjlJWVMWTIEN5//30A5s6dy2effYazs3OTjhMYGMiePXvo2bMnRUVF9O/fn0mTJnH8+HF8fX0ZN26cOcK3GClehBBC2IQePXrw0ksvATBu3DhKS0stHNH1FRUV8cADD7Bz506cnZ3ZuHEjr7322k2vN+Tt7c0333xDZGQkpaWlLF26FIDJkyej1+ubM3SLk+JFCCGEzZg7dy5t2rShoKCAcePGoVhph+9ffvmFiIgIsrOz8fb25l//+hexsbG3fFx3d3d27NjB4MGDAfDy8uLFF1+85eNaGylehBBWydneDmd7dc8CKlqep6cnycnJ6HQ61q9fz6pVqywd0hUOHz7M/fffz+HDhwkKCiI9PZ1evXo12/GdnZ3ZvHkzS5YsYevWrbi5uTXbsa2FFC9CCKujd9Bx6K1oDr0VLcsDiCYLDw83dVR95ZVXyM3NtWxAv5OdnU1ERAS//PILHTp0YN++fXTs2LHZf469vT0TJ06kT58+zX5sa2C24uXtt9+md+/e6PV6PD09G7WPoijMnj2bgIAAnJ2diYqKIj8/31whCiGEsFGTJk3i4YcfpqqqilGjRjVqCn1z2717N/3796eoqIgePXqQnp5OmzZtLB2WKpmteKmurubPf/5zk/7WtmDBAt5//31WrlxJZmYmLi4uDBw4sNELTwkhhBAAWq2WtWvXEhwcTH5+PuPHj7do/5ctW7YQHR3NxYsX6d+/P2lpaRgMBovFo3ZmK17mzJnDq6++yl133dWo9oqisGTJEuLj4xk2bBhdu3YlKSmJ06dPs2XLFnOFKYSwQpXGWp75OItnPs6S5QHETfP29iY5ORk7Ozv+8Y9/sHr1aovE8fHHHxMbG0t1dTXDhw9n+/btuLu7WyQWW2E1f0w+duwYhYWFREVFmbZ5eHgQFhZGRkYGo0ePvup+VVVVVFVVmb6vHxpnNBoxGo3mDdqG1D9X8pypi63mraq6ht15v/3/r6uxs56XqmZhq3mzRvfeey9z584lLi6Ov/3tb3Tv3p277777po51M3lbvHgx06dPB+Cpp55ixYoV2NnZSe6voinPidW8IhQWFgLg5+fXYLufn5/psatJSEhgzpw5V2xPSUmxuXHtLSE1NdXSIYibYGt5q6qF+penr79OwdFGBx3ZWt6sVYcOHejRowcHDhxg2LBhLFy4sMmTwP1eY/KmKAqffvopmzZtAmD48OEMHz6clJSUm/65tq6ioqLRbZtUvMyYMcO0wNO1HDp0iNDQ0KYc9pbExcUxadIk0/elpaUEBwczYMAAuS3XBEajkdTUVB566CHs7e0tHY5oJFvNW0V1DdOyLs+QOnDgAJsbcWSrebNm9913H7169eLkyZNs3bqVxMTEJk0Gl52dzfLlyzl8+DABAQE4ODig0+mwt7c3/V//tU6no6CggK1btwKXB7BMnTrVXKdmM5oyqWCTXhEmT57M008/fd027dq1a8ohTerXcDhz5gwBAQGm7WfOnOGee+655n6Ojo44Ojpesb3+F0k0jTxv6mRrebNX/u9N5fK52VbxUs/W8mbNAgICSE5OJjIykuTkZB588EGef/756+6jKAq7du1i3rx5N7XcgFarZeXKlYwdO/Zmw25VmnItNOkVwWAwmK139B133IG/vz/ffPONqVgpLS0lMzPTJmcHFEII0bLuv/9+3n77bWbMmMHLL79Mr1696Nq16xXtamtr2bRpE/PmzSMnJwcAnU7H6NGj8fDwoFOnTtTV1WE0Gqmpqbnq/7W1tQwdOpT+/fu39Gm2Cmb7OHPixAmKi4s5ceIEtbW1pkmCQkJCcHV1BSA0NJSEhARGjBiBRqPhlVdeYe7cubRv35477riDWbNmERgYyPDhw80VphBCiFZk6tSpfPvtt+zYsYNRo0aRnZ1tek+qrKwkKSmJd955h6NHjwKg1+t5/vnnmTRpEoGBgWzfvp2YmBi5Y2ZhZiteZs+eTWJioun7bt26AZcn6enXrx8AeXl5XLhwwdRm2rRplJeXM27cOEpKSujTpw87d+60qWW8hRBCWI5WqyUpKYl77rmHvLw8XnzxRZYtW8bKlStZvHixaYCIl5cXL7/8MhMmTMDHxweQ0WHWxGzFy9q1a1m7du112/xxwiCNRsObb77Jm2++aa6whBAqoHfQcXzeYEuHIWyUj48PycnJ9OvXj08//ZQvvvjCNNIlKCiIKVOm8Nxzz5nuyAjrI2sbCSGEaHX69OnD3LlzgctDdDt27MjatWspKChg4sSJUrhYOdvswi+EEELcwLRp0/D398fHx4eYmBi0Wvk8rxZSvAghhGiVtFrtDaf/ENZJykwhhBBCqIoUL0IIIYRQFSlehBBCCKEqUrwIIYQQQlWkeBFCCCGEqkjxIoQQQghVkeJFCCGEEKoixYsQQgghVEWKFyGEEEKoihQvQgghhFAVKV6EEEIIoSpSvAghhBBCVaR4EUIIIYSq2Nyq0oqiAFBaWmrhSNTFaDRSUVFBaWkp9vb2lg5HNJLkTZ0kb+okeTOv+vft+vfx67G54qWsrAyA4OBgC0cihBBCiKYqKyvDw8Pjum00SmNKHBWpq6vj9OnTuLm5odFoLB2OapSWlhIcHMwvv/yCu7u7pcMRjSR5UyfJmzpJ3sxLURTKysoIDAxEq71+rxabu/Oi1WoJCgqydBiq5e7uLhelCkne1Enypk6SN/O50R2XetJhVwghhBCqIsWLEEIIIVRFihcBgKOjI6+//jqOjo6WDkU0geRNnSRv6iR5sx4212FXCCGEELZN7rwIIYQQQlWkeBFCCCGEqkjxIoQQQghVkeJFCCGEEKoixYsN2bNnD0OGDCEwMBCNRsOWLVsaPH7mzBmefvppAgMD0ev1REdHk5+ff8VxMjIyeOCBB3BxccHd3Z2+ffty6dIl0+PFxcU8/vjjuLu74+npyXPPPcfFixfNfXo261bzdvz4cTQazVX/bdiwwdTuxIkTDB48GL1ej6+vL1OnTqWmpqalTtPmNMf1VlhYyJNPPom/vz8uLi50796dTZs2NWgj11vzao68FRQUMGLECAwGA+7u7owaNYozZ840aCN5My8pXmxIeXk5d999N8uWLbviMUVRGD58OD///DNbt24lJyeHtm3bEhUVRXl5ualdRkYG0dHRDBgwgKysLPbv38+ECRMaTNX8+OOP8+OPP5Kamso///lP9uzZw7hx41rkHG3RreYtODiYX3/9tcG/OXPm4OrqyqBBgwCora1l8ODBVFdX891335GYmMjatWuZPXt2i56rLWmO623MmDHk5eXx5Zdf8sMPP/DII48watQocnJyTG3kemtet5q38vJyBgwYgEajIS0tjX379lFdXc2QIUOoq6szHUvyZmaKsEmAsnnzZtP3eXl5CqAcPHjQtK22tlYxGAzK6tWrTdvCwsKU+Pj4ax73p59+UgBl//79pm07duxQNBqNcurUqeY9iVboZvP2R/fcc4/y7LPPmr7fvn27otVqlcLCQtO2FStWKO7u7kpVVVXznkQrdLN5c3FxUZKSkhocy8vLy9RGrjfzupm8ff3114pWq1UuXLhgalNSUqJoNBolNTVVURTJW0uQOy+tRFVVFQBOTk6mbVqtFkdHR/bu3QvA2bNnyczMxNfXl969e+Pn50dkZKTpcbh8Z8bT05OePXuatkVFRaHVasnMzGyhs2k9GpO3Pzpw4AC5ubk899xzpm0ZGRncdddd+Pn5mbYNHDiQ0tJSfvzxRzNF33o1Nm+9e/dm/fr1FBcXU1dXR3JyMpWVlfTr1w+Q662lNSZvVVVVaDSaBhPVOTk5odVqTW0kb+YnxUsrERoaSps2bYiLi+P8+fNUV1czf/58Tp48ya+//grAzz//DMAbb7zB2LFj2blzJ927d+fBBx80/c23sLAQX1/fBsfW6XR4eXlRWFjYsifVCjQmb3/00Ucf0bFjR3r37m3aVlhY2KBwAUzfS96aX2Pz9vnnn2M0GvH29sbR0ZHx48ezefNmQkJCALneWlpj8nbffffh4uLC9OnTqaiooLy8nClTplBbW2tqI3kzPyleWgl7e3u++OILjhw5gpeXF3q9nt27dzNo0CBTf5b6v9eOHz+eZ555hm7durF48WI6dOjAmjVrLBl+q9WYvP3epUuXWLduXYO7LqLlNTZvs2bNoqSkhF27dpGdnc2kSZMYNWoUP/zwgwWjb70akzeDwcCGDRvYtm0brq6ueHh4UFJSQvfu3a96TQrz0Fk6ANFyevToQW5uLhcuXKC6uhqDwUBYWJjp1mZAQAAAnTp1arBfx44dOXHiBAD+/v6cPXu2weM1NTUUFxfj7+/fAmfR+twob7+3ceNGKioqGDNmTIPt/v7+ZGVlNdhWPzpC8mYeN8pbQUEBS5cu5eDBg3Tu3BmAu+++m/T0dJYtW8bKlSvlerOAxlxvAwYMoKCggKKiInQ6HZ6envj7+9OuXTtAXidbgpSJrZCHhwcGg4H8/Hyys7MZNmwYALfffjuBgYHk5eU1aH/kyBHatm0LQHh4OCUlJRw4cMD0eFpaGnV1dYSFhbXcSbRC18rb73300UcMHToUg8HQYHt4eDg//PBDgxfU1NRU3N3dryhWRfO6Vt4qKioArvi0bmdnZ7oLKteb5TTmevPx8cHT05O0tDTOnj3L0KFDAclbi7B0j2HRfMrKypScnBwlJydHAZRFixYpOTk5yv/+9z9FURTl888/V3bv3q0UFBQoW7ZsUdq2bas88sgjDY6xePFixd3dXdmwYYOSn5+vxMfHK05OTsrRo0dNbaKjo5Vu3bopmZmZyt69e5X27dsrjz32WIueqy1pjrwpiqLk5+crGo1G2bFjxxWP1dTUKF26dFEGDBig5ObmKjt37lQMBoMSFxdn9vOzVbeat+rqaiUkJESJiIhQMjMzlaNHjyrvvvuuotFolK+++srUTq635tUc19uaNWuUjIwM5ejRo8onn3yieHl5KZMmTWrQRvJmXlK82JDdu3crwBX/nnrqKUVRFOW9995TgoKCFHt7e6VNmzZKfHz8VYfJJiQkKEFBQYper1fCw8OV9PT0Bo+fO3dOeeyxxxRXV1fF3d1deeaZZ5SysrKWOEWb1Fx5i4uLU4KDg5Xa2tqr/pzjx48rgwYNUpydnRUfHx9l8uTJitFoNOep2bTmyNuRI0eURx55RPH19VX0er3StWvXK4ZOy/XWvJojb9OnT1f8/PwUe3t7pX379srChQuVurq6Bm0kb+alURRFabn7PEIIIYQQt0b6vAghhBBCVaR4EUIIIYSqSPEihBBCCFWR4kUIIYQQqiLFixBCCCFURYoXIYQQQqiKFC9CCCGEUBUpXoQQQgihKlK8CCGEEEJVpHgRQgghhKpI8SKEEEIIVZHiRQghhBCq8v8AKvc4q/jcSRYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "placebo_test.gaps_plot(\n", " time_period=range(1955, 1998),\n", " treatment_time=1975,\n", " exclude_units=[\"Spain (Espana)\"],\n", " mspe_threshold=1,\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We calculate $p$-value of Abadie et al's version of Fisher's exact hypothesis test for no effect of treatment null using the `pvalue` method." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.16666666666666666" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "placebo_test.pvalue(treatment_time=1975)" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.0" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "0affce9ccf703bfc26f5559d4b07023a564b817a32e04b2ea45527debe8fe1b9" } } }, "nbformat": 4, "nbformat_minor": 2 }