{ "cells": [ { "cell_type": "markdown", "id": "55aba049-984e-4563-9bb6-8292f2c92a22", "metadata": {}, "source": [ "# Demonstrating the Wolfson Bipolarization Coefficient:\n", "\n", "The Wolfson Polarization Index, introduced by Wolfson (1994), is a measure used to quantify the degree of bipolarization within a distribution, particularly income distributions. Unlike traditional inequality measures, such as the Gini coefficient, which capture the overall level of inequality within a distribution, the Wolfson index specifically focuses on the extent to which a distribution exhibits characteristics of bipolarization. This means it is sensitive to the presence of two distinct groups or \"poles\" in the distribution, which can signal social or economic divisions.\n", "\n", "Bipolarization occurs when the population tends to cluster around two income poles, resulting in a “hollowing out” of the middle class. This phenomenon has been observed in many advanced economies where growing income inequality is not just due to the rich getting richer and the poor getting poorer, but also due to the diminishing size of the middle-income group.\n", "\n", "The Wolfson index is defined mathematically in terms of the Lorenz curve, but it differs from traditional Lorenz-based indices (like the Gini coefficient) by its focus on the distance between the poles of a distribution. The index increases as the distribution becomes more polarized, which happens when the middle of the distribution thins out while the lower and upper ends of the distribution expand.\n", "\n", "Wolfson’s work (1994) has been foundational in the field of inequality measurement, offering new insights into the nature of economic divisions beyond what is captured by measures like variance or Gini. By applying the Wolfson index to different income distributions, analysts can better understand the dynamics of income segmentation and social stratification within a population.\n", "\n", "\n", "Wolfson, M. C. (1994). When Inequalities Diverge. The American Economic Review, 84(2), 353-358.\n", "\n", "-------------------------\n", "\n", "### 1. Imports & Input Data" ] }, { "cell_type": "code", "execution_count": 54, "id": "64243a0a-7c9b-424d-940b-86004ab8c0d1", "metadata": {}, "outputs": [], "source": [ "from inequality.wolfson import wolfson" ] }, { "cell_type": "code", "execution_count": 55, "id": "76fe1f4d-ba15-468f-8334-23777b611cac", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Set random seed for reproducibility\n", "np.random.seed(42)\n", "\n", "# Distribution 1: Low polarization (normal distribution)\n", "income_low_polarization = np.random.normal(loc=50000, scale=15000, size=10000)\n", "\n", "# Distribution 2: High polarization (bimodal distribution)\n", "income_high_polarization = np.concatenate(\n", " [\n", " np.random.normal(loc=30000, scale=5000, size=5000),\n", " np.random.normal(loc=70000, scale=5000, size=5000),\n", " ]\n", ")\n", "\n", "# Plotting the distributions\n", "plt.figure(figsize=(12, 6))\n", "\n", "# Plot for low polarization\n", "plt.subplot(1, 2, 1)\n", "plt.hist(income_low_polarization, bins=50, color=\"blue\", alpha=0.7)\n", "plt.title(\"Low Polarization Income Distribution\")\n", "plt.xlabel(\"Income\")\n", "plt.ylabel(\"Frequency\")\n", "\n", "# Plot for high polarization\n", "plt.subplot(1, 2, 2)\n", "plt.hist(income_high_polarization, bins=50, color=\"red\", alpha=0.7)\n", "plt.title(\"High Polarization Income Distribution\")\n", "plt.xlabel(\"Income\")\n", "plt.ylabel(\"Frequency\")\n", "\n", "# Show plots\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 56, "id": "4020946f-6f78-45e6-9d72-895de8807bc3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(0.17571224182763848)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wolfson(income_high_polarization)" ] }, { "cell_type": "code", "execution_count": 57, "id": "6d105e2b-5549-425c-a594-37372d5fc75c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(0.07016937981819878)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wolfson(income_low_polarization)" ] }, { "cell_type": "markdown", "id": "ed3d742c-3770-488f-ba6e-43ac54fbfc45", "metadata": {}, "source": [ "## Analyzing Bipolarization in Mexico's Regional GDP\n", "To illustrate the Wolfson Bipolarization Coefficient in a spatial economic context, we apply it to regional per capita GDP (PCGDP) data for Mexico. The dataset contains economic data for different Mexican states, spanning the decades of 1940-2000.\n", "\n", "Economic polarization is an important issue in Mexico, where regional disparities have persisted due to differences in industrialization, trade policies, and historical investment patterns. The Wolfson index allows us to measure whether income differences across regions have become more extreme over time—indicating a divergence between wealthier and poorer states.\n", "\n", "In the following analysis, we compute the Wolfson index for PCGDP in 1960 and 2000, visualizing income distributions and mapping economic disparities.\n", "Note that all values are in constant 2000USD.\n", "\n", "Income Distribution in 1960 vs. 2000\n", "First, we visualize the distribution of per capita GDP across Mexican states:\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 46, "id": "5db996ab-fb46-478b-8c9a-b5de84842656", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 7))\n", "\n", "# Choropleth map for 1960\n", "gdf.plot(column=\"PCGDP1960\", cmap=\"Blues\", legend=True, ax=axes[0], edgecolor=\"black\")\n", "axes[0].set_title(\"Per Capita GDP in 1960\")\n", "axes[0].axis(\"off\")\n", "\n", "# Choropleth map for 2000\n", "gdf.plot(column=\"PCGDP2000\", cmap=\"Reds\", legend=True, ax=axes[1], edgecolor=\"black\")\n", "axes[1].set_title(\"Per Capita GDP in 2000\")\n", "axes[1].axis(\"off\")\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 47, "id": "09f8bd1e-be83-444e-ab58-60b7b2190b65", "metadata": {}, "outputs": [ { "data": { "image/png": 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4+LLjw4YN06effhqwcKhaxcVmKoKffjK3tPXqZS4WRkpD6tcGDpTi46W9e6X33jNzTgEAEEzUUJYVFprJM71eMzS8Z8/IuK/f7TbzFJRatsw8WOURABDiKr363sKFCxUTE1PueOPGjfXzzz8HJBiqVmGhaUjt2iVFR5uRQ40a2U5VtRo0kH7zG+nTT81iNXPmmCZcu3aRUY8CAEIfNZRFfr8ZIZWbK9WsaeZfiqQrcb8uZpYtU0NuCQUAhLhKvRP7/X75fL7Djm/dulVJSUknHQpVq6DAzIW5a5cUGysNHRr5DalSCQnSkCFmlT5J+vpr6YsvTJ0KAEBVo4ayaNkyaetWyeMxV+NiY20nqjqdO0uS6q9bp8clRkwBAEJWpZpS/fv319///veyfZfLpdzcXN19990aPHhwoLKhChQWSh9+aG5hS0gwc2PWq2c7VXCVjnAvHeW+Zo308cdMgA4AqHrUUJb8/LP07bdm+5xzpLp17eapam3aSD16SJL+KKnR44/TmAIAhKRKNaX+9re/acGCBWrVqpUKCwt12WWXqUmTJvr555/1yCOPBDojAqS0IbVnj2lIDR1qVhOurtq0MRdKPR5pyxYzeiw/33YqAEAko4YKvujiYrPEsGQmNm/e3G6gYGndWps7dJAkpb79tjRxIo0pAEDIqdScUg0bNtTy5cv11ltv6ZtvvpHf79fVV1+tyy+/vNyknQgdJSXSrFnS7t1msu+hQ1l9TpIyMszP4uOPzWI8779v9rmDAgBQFaihgq/l2rXmqlPt2tJZZ9mOE1S7MzL00Lff6jlJeuQRKTFRuvNO27EAAChTqaaUJMXHx+uqq67SVVddFcg8qAI+n/TJJ9LOnWb6hCFDqk9DKioqQWPH5pZtH8kpp0gXXSR99JGUk2NGTA0dauZABQAg0Kihguc6SfV27zb37vfrZ1Z3iVAJUVHKHTu2bLvU85L+csstavS3v0l33WUaUxMmWEoJAEB5lWpKvfrqq8f8/JVXXlmpMAg8x5HmzzfzekZFSYMGVa9b9lwul6KjE497Xs2aZn6tGTOk/fsPNqZq1QpCSABAtUENFTyJBQVmkm/JLLcb4fNIuVwuJR6l6bZz1Cg1qlPHjJL64x/NsPkbbwxyQgAADlepptTNN99cbr+kpET5+fmKiYlRQkICBVUIWbJE+uknc4Gwf38pNdV2otCVmHiwMbVvn2lMDRkiJSfbTgYAiBTUUEHiOOq2dq2SJO2tVUvJZ5xhO5F9//d/Ul6e9PDD0rhxpvDh7w0AYFmlJjrfu3dvuUdubq7WrVunnj176q233gp0RlTS2rXS8uVm+5xzpLQ0q3Gs8PmKNH/+GM2fP0Y+X9Fxzy9dkbBOHTP9xIwZZmJ4AAACgRoqSFavVv19+5QvaU2LFpLLZTtRlSvy+TRm/nyNmT9fRT7f4Se4XNKDD0q//73Zv+oqswIOAAAWVaopdSTNmzfXww8/fNgVQNixbZv0+edmu2NHKTPTbh5b/H6v1q9/RevXvyK/33tCX1M6EXzdulJBganX8vOZ+RwAUDWooQIsN1f6+mtJ0u2SChKOPKdkpPH6/Xpl/Xq9sn69vH7/kU9yuaS//U264goz6ejIkdLixcENCgDAIQLWlJIkj8ejbdu2BfIpUQk5OWZic8eRmjWTzjzTdqLwExdnbt0rbUx9911fSafajgUAiFDUUAH05ZdSSYl21aypf9nOEorcbumll8xEowUFpuBZs8Z2KgBANVWpOaU++OCDcvuO42j79u16+umn1aNHj4AEQ+WUlEizZ0tFRVK9eua2vWowYr1KxMWZeu2//5X2768habaKi7NtxwIAhDFqqCq2aZN5uFz66vTT5SxZYjtRaIqOlt55R+rb14wqGzDANPMaNbKdDABQzVSqKXXRRReV23e5XKpXr5769u2rJ554IhC5UAmOIy1YYOZAio83E5tHVeo3jFIJCdLgwdK0afkqKmqlFSty1Ly5FBNjOxkAIBxRQ1Wh4mJp4UKz3a6d9teoYTdPqEtMNHMU9OwprVtnGlOff169lmkGAFhXqZaF/2j3qcOq1aulDRsOrrRHLRYYSUlSu3af6uuvz9KBAymaPVsaOJCGHwCg4qihqtA335jV5ZKSzISaGzfaThT6UlKkjz+Wunc3heQFF5gh99VkHi4AgH0BnVMK9mRnS4sWme2uXaX69e3miTSJiTmSBsrj8WrbNmnuXDMyDQAAhIB9+6SVK812jx5cOaqIxo1NY6p2bTPS7Le/lbwntjgMAAAnq1Lv2BMmTDjhc5988snKvAQqoLhYmjNH8vtNXdGmje1EkWqZzjjjO61YcaY2bZK++krq1s12JgBAOKGGqgKOY+ZD8vul9HTzQMW0aSN98IF03nlmMs3rr5defJGJSQEAVa5STalvv/1W33zzjbxer04//XRJ0vr16+XxeNSxY8ey81y8kVU5xzG3/+fkmNv1evWifjhUVFSCrrhiZ9n2yUpO3qfevc1IqRUrpJo1pVatTvppAQDVBDVUFdi8Wdq61cxfcNZZttNYkxAVpZ1XXFG2XWFnny29/bY0fLj08svSqadK990X4JQAAJRXqabU+eefr6SkJL3yyitKTk6WJO3du1djx47V2WefrT/+8Y8BDYmjW7tW+ukn04jq18+sGIeDXC6X4uPrBfQ5mzUzTcClS80o96QkKS0toC8BAIhQ1FAB5vdLixeb7bZtpVq17OaxyOVyqV58/Mk9yYUXSs89J113nXT//WY1vuuuC0xAAACOoFJzSj3xxBN66KGHyoopSUpOTtYDDzzAyjFBtGePGa0uSZ07S6ecYjdPddKhg9S8uRmpNmeO+V0AAHA81FABtmaNuVIUHy+1b287TWS49lrprrvM9o03mtv5AACoIpVqSuXk5GjHjh2HHd+5c6cOHDhw0qFwfF6vaYb4fGaUTrt2thOFJp+vSF98MV5ffDFePl9RwJ7X5ZLOOUdq0EAqKZFmzZLy8wP29ACACEUNFUDFxdKyZWa7Y0cpJsZuHsuKfD6N/+ILjf/iCxX5fCf3ZPfcI111lRmJdsklZiJNAACqQKWaUsOGDdPYsWM1depUbd26VVu3btXUqVN19dVXa/jw4YHOiCNYutQsNBMfL/XuzTxSR+P3e7V69TNavfoZ+f2BXUnG45H69zd3CuTmmhWUT7YGBABENmqoAFqxQiosNG/ELVvaTmOd1+/XM6tX65nVq+X1+0/uyVwucxvfoEFSQYE0dKj0ww+BCQoAwCEq1ZR67rnnNGTIEI0aNUqNGzdW48aNdfnll2vQoEF65plnAp0Rv/LLL6YOk8xonZOdPgCVFxcnDRwoxcZKO3eaOaYcx3YqAECoooYKkPz8g8VQ585mknMEVnS0NGWK1KmTlJ1tCp4jjPIDAOBkVOodPCEhQc8884x2795dtorMnj179MwzzygxMTHQGXGIkhJp/nyznZkpNW5sNQ5kLtD27Wu2164101sAAHAk1FABsmyZmcsgNVXKyLCdJnLVqCF9+KHUtKm0YYM0ZIgZHg4AQICc1GWl7du3a/v27crMzFRiYqIchohUua+/NvN5JiZW61WPQ05amtSli9n+8kszmg0AgKOhhjoJ+/aZq0CS1LUrcxhUtdRUM3lmSoppBl58sblKCgBAAFSqKbV7927169dPmZmZGjx4sLZv3y5Juuaaa1jKuApt2yatWmW2zznH3DKG0NGunbmQ6PdLn3wi5eXZTgQACDXUUAHw9dfmXvn0dLPiCKpe8+ZmxFRCgjRzpnT99cxXAAAIiEo1pW655RZFR0crKytLCQkJZccvueQSzZo1K2DhcJDX69GCBWa7RQszMgehxeWSevWSkpPNnKCffMLE5wCA8qihTtIvv0ibNpk33dIhygiOLl2k//zHzN81aZJ09922EwEAIkClmlKzZ8/WI488okaNGpU73rx5c23evDkgwVDeTz8104EDUlKS1K2b7TQ4muhoacAAsyr1zp3mVj4AAEpRQ52kJUvMx8xMqU4du1mqo6FDzap8knT//dILL9jNAwAIe1GV+aK8vLxyV/dKZWdnK5Z7yqpAD23bZorXXr1MwwMnJioqXpdeurFsOxhq1pT69TOj29esMXcWNGsWlJcGAIQ4aqiTsG2btH27Galz5pm204Sc+Kgobbz00rLtKnPttdLPP0v33ivdeKMpdM4/v+peDwAQ0So1Uuqcc87Rq6++Wrbvcrnk9/v12GOPqU+fPgELB8nvd0syV6ROP11q2NBunnDjcrmVlNRESUlN5HIFb7notDSpQwez/fnnZk5WAACooU7CN9+Yj6efblaFQzlul0tNkpLUJClJ7qqe/P3uu6WrrzYTaV5yifTVV1X7egCAiFWpyyiPPfaYevfuraVLl6q4uFh/+tOftGrVKu3Zs0cLFy4MdMZqbcuWlpLaKDq6WF27MkQqnJx5ppn6Yvt2ac4c6aKLpKq8cAkACH3UUJW0fbsZKeV2H7zqA3tcLunZZ83v5aOPzG19X35pJkQHAKACKjV0pFWrVlqxYoW6dOmi/v37Ky8vT8OHD9e3336r0047LdAZq62cHGnTpjaSpGbNflBcnOVAYcjnK9bixbdp8eLb5PMVB/W13W5zG198vLRnD/NLAQCooSqNUVLHVezz6bbFi3Xb4sUqDsZKK9HRZuLzTp2k7Gxp4EBpx46qf10AQESp8LiNkpISnXfeeXr++ed17733VkUmyKyyu3Ch5PdHSfpUp5wiSa0tpwo/fn+JVqx4XJJ05pn3yOMJ7mizhASpb1+zivLatWbaBS4iAkD1RA1VSb/8YuYwcrul9u1tpwlZJX6/Hl+xQpJ0z5lnKsbjqfoXrVHDFDndu0s//SQNGSLNn0/jEABwwio8Uio6OlorV66Uq6rvVa/mNmyQtmyRXC6fpBvFjzt8nXqq1LGj2f78c2nvXrt5AAB2UENV0rJl5mNmplmGGKElNVWaNUuqV8/8ri6+WCopsZ0KABAmKnX73pVXXqmXXnop0FnwP0VFB2/1atx4laQfrObByevY0TSnvF5p7lwpGKPqAQChhxqqgkpHSblczCUVypo1k2bMMEPEZ86Urr/eDPsHAOA4KjXtcnFxsV588UV98skn6tSpkxITE8t9/sknnwxIuOpqyRKpoECqVcs0pTZtsp0IJ8vtlvr0kaZOlXbvlr7+WjrrLNupAADBRg1VQYfOJcUoqdDWpYs0ZYp04YXSpElmKWJuUwUAHEeFmlIbNmxQkyZNtHLlSnX83/1I69evL3cOQ9JPzu7d0po1ZrtnTyk/3283EAImIUHq1Uv6+GPp++9Nrdaoke1UAIBgoIaqhB07pK1bzSgp5pIKD0OGSM89J117rXTffebWvvHjbacCAISwCjWlmjdvru3bt2vevHmSpEsuuUT/+Mc/dIqZhRsnyXHMbXuOIzVtam73+oE79yJK48ZSq1bS6tXSvHnSiBFmdT4AQGSjhqqEb781HzMzpZo17WbBibvmGnPL5T33SDfdZIb+jxplOxUAIERVaE4p51f3hs+cOVN5eXkBDVSdbdwobd8ueTxS166206CqdOsmJSebWzQXLGDKBQCoDqihKmjPHikry2wzSir83HWXdPPNZnvMGGn6dJtpAAAhrFJzSpX6dYGFyvN6pcWLzXa7dkybEChRUfEaMWJl2XYoiIqS+vY19VlWlhk11bq17VQAgGCihjqO774zHzMyzEgbHFd8VJRWjhhRtm2VyyU9+aS0f780ebJ0ySXSRx9J/frZzQUACDkVGinlcrkOm++A+Q8C47vvpNxcKTGRC4KB5HK5VadOa9Wp01ouV6UWm6wSdeua+UAl04zcu9duHgBA1aKGqoDcXOnHH812u3Z2s4QRt8ul1nXqqHWdOnKHwt+W2y39+9/Sb34jFRebCdAXLbKdCgAQYip0GcVxHI0ZM0axsbGSpMLCQt1www2HrRwzbdq0wCWsBnJzpeXLzXa3bmYkDSJfmzZm/tYtW8z8UhddZOo3AEDkoYaqgO+/N/e2N2xoJspG+IqKkt54QzpwQJo9Wxo82Mxd0Lat7WQAgBBRofbH6NGjy+2PYtLCgPjqK8nnk+rXNxOcI3B8vmJ9++2DkqQOHe6QxxNjOdFBLpdZje+dd6TsbLPqdadOtlMBAKoCNdQJKio6uAwxo6QqpNjn04P/mxz+jg4dFOPxWE70P7Gx0rRp0nnnmRV9zjtP+vxzqXlz28kAACGgQk2pSZMmVVWOamv7dumnn8x29+6mUYHA8ftL9M0390qS2rW7LaSaUpKUkCD17Cl9+qlZZCg9nYvCABCJqKFO0OrVZqLNOnWkRo1spwkrJX6/7v3mG0nSbe3ahU5TSjLzU3z4odSnj7k94NxzpS++kNLSbCcDAFjGzUIWOc7BW+tbtJBSUuzmgR2nnWYejiPNn29qcQAAqh2vV1ppFidRu3ZcqYs0tWtLH38sZWaalV769ZN+/tl2KgCAZTSlLPrpJ3PbVnS01Lmz7TSwqUcPM2pq3z7p669tpwEAwIL166WCAqlGDXO1BpEnNVWaM0dq0kT64QezHPH27bZTAQAsoillic93sPnQrp0UH283D+yKi5POOcdsr1wpbdtmNw8AAEHl90srVpjttm1Z+SOSpaWZFV7S000jsk8f6ZdfbKcCAFjCO74lq1aZVfcSEliABEZ6urmNUzK38RUXW40DAEDwbNok5eSYSbFPP912GlS1Jk1MsZOWJq1bZxpTO3bYTgUAsICmlAVFRWZSa8msthZVoenmEcm6dZOSkkzD8quvbKcBACBIvv/efGzd2sxrgMiXkWFGTDVqJK1da27l27nTdioAQJBZbUo9++yzatu2rWrWrKmaNWvqrLPO0syZM21GCopvvzWNqeRkM9cjUComRurVy2yvWcNtfACAw0Vc/bRzpxkl43ZLrVrZToNgOu0005hq2NCsvNi7N3NMAUA1Y7Up1ahRIz388MNaunSpli5dqr59++rCCy/UqlWrbMaqUgcOHFxYpmtXpkyoah5PnC666GtddNHX8njibMc5IQ0bSi1bmu0FC6SSErt5AAChJeLqp9JRUs2amXkNUClxHo++vugifX3RRYrzeGzHOXHNmplb+U491VyRO+ccszofAKBasNoSOf/88zV48GBlZmYqMzNTf/3rX1WjRg0tXrzYZqwqtWSJmcuzYUNzGz2qltvtUWpqZ6WmdpbbHT4FWteuUmKiaWIuXWo7DQAglERU/ZSbK23YYLbbtLGbJcx53G51Tk1V59RUecLtqmfz5tLnn5u5pn780TSmfvrJdioAQBCEzGxGPp9P77zzjvLy8nTWWWcd8ZyioiIVFRWV7efk5AQrXkBkZ5v3Wck0HVwuu3kQumJiTD02c6a5gNy0qRROFz0BAMFxIvWTFMI11OrVkuNIDRpIKSm206CKZGVlKTs7+7jnRT/zjJrfeKPiNm9W8Vln6Ydnn1VRRkZAMhQVFSk2NjYgzxWOry9JKSkpSk9Pt5oBAH7NelPq+++/11lnnaXCwkLVqFFD7733nlodZT6Bhx56SPfee2+QEwbO11+bj82aSfXq2c1SXfh8xVq58ilJUps2N8vjibGc6MSlpZk5x9avN7fx9epFFxMAYFSkfpJCtIbyes3tWpJ0xhl2s0SAYp9PT/1vjoib27RRTIhczcrKylLLFi2UX1BwQuefImmOpDa7dqneiBHqL2lFAHK4JDkBeJ5wfX1JSoiP15q1a2lMAQgp1ptSp59+upYvX659+/bp3Xff1ejRo7VgwYIjFlYTJ07UhAkTyvZzcnKUFib3wG3bJm3dauaQ6tTJdprqw+8v0Vdf/UmS1KrVuLBqSklmNb4tW6R9+6S1axvYjgMACBEVqZ+kEK2h1q83K78kJUn8I/mklfj9+tP/lu4d16pVyDSlsrOzlV9QoNf79FHL5OQT+hpfUZHyFy5U6r59WhYdrQ1nnaXckxhJ91FWlu5culTPdOqkrhb+1my/viSt2btXo+bNU3Z2Nk0pACHFelMqJiZGzZo1kyR16tRJS5Ys0VNPPaXnn3/+sHNjY2OtD3utDMcxc0lJUosWUs2advMgfMTFST17Sp98Iq1ff4qkDrYjAQBCQEXqJykEayjHObjyS5s2rPxSDbRMTlbHijSWLrxQ+vhjRf3yizIXLpT69TNzTlXCmr17JUmZSUkVyxAgtl8fAEJZyFUAjuOUm/MgEmzZYlY69nikjh1tp0G4ycgwc0o5jkvSy6zGBwA4TNjVT1u3mmHA0dHS6afbToNQFBsrDR4sNW4s+XzmCt3atbZTAQACzOpIqTvuuEODBg1SWlqaDhw4oLffflvz58/XrFmzbMYKqENHSbVuzUrHqJwePaStW70qLm6vV17Zpq5dbScCANgSEfVT6Sip0083q3sARxIVJfXvb1bmW7dO+uwzqbBQateOFYMAIEJYbUrt2LFDV1xxhbZv365atWqpbdu2mjVrlvr3728zVkBt2CDt3m0uBLZvbzsNwlV8vNSu3RYtWZKhF1+sr/HjTZMTAFD9hH39tHevGUYumVv3gGNxu82SxPHx0vLlZuWg3Fype3du+wSACGC1KfXSSy/ZfPkq5/dLS5ea7bZtzfxAQGU1arRXS5Z8r5KSC3T11dLCheaWUABA9RL29dOqVeZj48ZMtIkT43JJXbqYxtSiRdLq1aYx1a+fufILAAhbXF6oQj/8IO3fb5pRrHSMk2VGqd+oxESfvvpKeu4524kAAKig4mJTIEmMkkLFnXGGdO655qpcVpb0wQdSXp7tVACAk0BTqor4fNKyZWa7fXumS7DF44nT0KHzNHToPHk8kTBUbZtuuulnSdLEidLPP1uOAwBARfzwg1RSItWqJTVsaDtNRInzeDRv6FDNGzpUcZE8lLppU2noUHPVd/duafp0ac8e26kAAJVEU6qKrFljRhUnJEitWtlOU3253R41bNhbDRv2ltsdGQXaiBHZ6tZNOnBA+v3vbacBAOAEOc7BW/dat2ai6gDzuN3q3bChejdsKE+kz7V0yinSRRdJtWubkVLvv29GTgEAwk6Ev2PZ4fWaeRglqWNHs3AIEChut/TCC+bvato0U4cBABDytm+X9u0zb2CZmbbTINzVrCldeKHUoIEZfTdrlinAHcd2MgBABdCUqgJr10r5+VJiolnpGPb4/SVatepfWrXqX/L7S2zHCZgzzpBuvdVs33STGTUFAEBIKx0l1bw58xpUgRK/X/9atUr/WrVKJX6/7TjBERsrDR4stWhh9r/+Wpo3z1whBgCEBZpSAXboKKkOHVgdzTafr1gLF96khQtvks9XbDtOQN11l5lWYetW6S9/sZ0GAIBjyMuTNm0y28xrUCWKfT7dtHChblq4UMU+n+04wePxSGefLfXoYW4J/fFH6b//ZQJ0AAgTNKUCjFFSCJb4+IMr8P3zn9KSJXbzAABwVGvWmNuq6teX6ta1nQaRxuUy85QNGWJGT+3aZeY4+OUX28kAAMdBUyqAGCWFYOvfXxo1ytT5113HaHUAQAjy+01TSmKUFKpWw4bSsGFScrJUUGBGTK1YwTxTABDCaEoFEKOkYMOTT0p16piG6N//bjsNAAC/snGjaRDEx0sZGbbTINLVrGlW5jvtNNOMWrxYZ69apSTbuQAAR0RTKkAYJQVb6tWTHn/cbN91l6n9AQAIGatXm48tW1IgITiio6W+fc08U2630nft0lJJibm5tpMBAH6FplSAMEoKNo0ZI/XubS5EjxvHKHUAQGiI279f2r7dzPlTukIaEAyl80xdcIHyYmOVKanzsmXS+vW2kwEADkFTKgAYJQXbXC4z6XlMjDRrlvTOO7YTAQAg1duwwWw0bizVqGE3DKqn1FR91LmzZkry+P3S/PnSZ58xEScAhAiaUgHAKKnQ5fHEauDAGRo4cIY8nljbcarU6adLd9xhtv/wByknx2ocAEA1lySpTlaW2Wnd2mqW6iDW49GMgQM1Y+BAxXKFtJzi6GgNkbShSRNzYO1a6f33pX37LKYCAEg0pU4ao6RCm9sdpfT0IUpPHyK3O8p2nCp3++1Ss2bmTom777adBgBQnV0pyePzSbVrm1XRUKWi3G4NSU/XkPR0Rbkp8X/NkbQxI0MaPFiKi5N275amTTMNKuY9AABreMc6SYySQiiJi5P+9S+z/Y9/HGyYAgAQVI6jcaXbrVqZ+8yBUNCokTRihHTqqebq8mefSZ9+KhUV2U4GANUSTamTwCip0Of3l2jduslat26y/P4S23GC4rzzpIsvlvx+6cYbzUcAAIKpxpIlaiXJ5/FImZm241QLJX6/Jq9bp8nr1qmEN/9jS0gwI6a6dDEN0w0bpHfflX75xXYyAKh2aEqdBEZJhT6fr1gLFozVggVj5fMV244TNE8+aeaTXbxYeukl22kAANVNvf+tuLEnPd2swoEqV+zzaeyCBRq7YIGKfT7bcUKfyyW1by9deKFUs6aUmyv997/SN99wRQ8AgoimVCX5fNJ335ltRkkh1Jx6qnT//Wb79tulXbvs5gEAVCM5Oaq5aJEkaVfTppbDAMeRmioNH24m5XQcaelS6cMPpQMHbCcDgGqBplQlrVsn5eUxSgqh66abzAXAvXtNYwoAgKCoWVOr/vtfXSmpsFYt22mA44uJkfr2lfr0kaKjzYoxU6dK69czCToAVDGaUpXg9x8cJdW2LaOkEJqioqRnnzXbkyZJX3xhNw8AoPrwJifrNdshgIpq3lz6zW+kU06RSkqk+fOlOXOkwkLbyQAgYtGUqoQffzQjeuPipJYtbacBjq5bN+naa832jTea+goAAABHUbOmdP75UufOZt6pjRuld96RtmyxnQwAIhJNqQpynIMr7rVta0ajAKHs4YellBRp5UrpqadspwEAAAhxbreZNHbYMKl2bamgQJo50ww75wofAAQUTakK2rhR2rfP3HreqpXtNMDx1akjPfaY2b7nHi70AQAAnJCUFDMJeps2Zn/1amnaNGnnTru5ACCC0JSqAMeRvv3WbLdpwwrH4cDjidW5507RuedOkccTazuONVdeKfXsaSbnv/lm22kAAECgxXo8mnLuuZpy7rmKZcLTwImKkrp3lwYPNisc7d8vvf++tGyZmWgWAHBSaEpVwJYt0u7d5r2p9IIJQpvbHaWmTUeqadORcrur772WbreZ9DwqSnrvPbPSMQAAiBxRbrdGNm2qkU2bKspNiR9wjRpJI0ZIp51mrlQvW2aaU/v22U4GAGGNd6wT5DjSN9+Y7VatzCTnQDhp00a65Raz/bvfSfn5dvMAAACEldhYqV8/qW9fc8vErl3Su++a2/ocx3Y6AAhLNKVO0K5dNbRzp+TxmAnOER78fq82bHhHGza8I7/fazuOdXfdJaWlmbnRHnzQdhoAABAoXr9f72zYoHc2bJCX28qqVrNmZtTUqadKPp+ZAH3WLK74AUAl0JQ6QevW1ZcknX66lJBgOQxOmM9XpDlzLtacORfL5yuyHce6GjUOrsD36KPSunV28wAAgMAo8vl08Zw5unjOHBX5fLbjRL4aNcw8U2edZa5ab9kiTZ0qbdpkOxkAhBWaUiekm3btqimXS2rf3nYW4ORcdJE0ZIhZ0XjcOEabAwAAVIrLJZ1xhjRsmFS3rlRYKM2eLX32mSm0AADHRVPqhPyfJCkz01wUAcKZyyX94x9mXrS5c6W33rKdCAAAIIzVqWOu+rVrZ/bXrjVzTe3YYTUWAIQDmlLHsXZtvKShkhxGSSFiNG0q/eUvZnvCBLO6MQAAACrJ45G6dpWGDjVXsXNypA8+kJYulYs5vgDgqGhKHcfLL5u5pBo12qtatSyHAQLo1lvNHGk7dhxsUAEAAOAkNGwo/eY3ZjL0/y3ffd4336iZ7VwAEKJoSh3DmjXS3Lm1JUmnn/6L3TBAgMXGSs88Y7afeUZatsxuHgAAgIgQGyv17WseMTFKOXBAyyU13LaNyTwB4FdoSh3Dm29KjuOS9J5q1Sq0HQcIuL59pcsuk/x+6YYbzKrGAAAACIBmzaQRI/RL7dpKlNRy3Trp44+lggLbyQAgZNCUOob77pP++c8fJd1lOwoqyeOJUa9ek9Sr1yR5PDG244SkJ56QatWSli6Vnn/edhoAAFAZMR6PJvXqpUm9einG47EdB6Vq1NCn7dtrgiS/yyVlZUlTp5qPAACaUsfickndu+dIWmk7CirJ7Y7W6aeP0emnj5HbHW07TkiqX1/661/N9h13sFAMAADhKNrt1pjTT9eY009XtJsSP6S4XPqbpCWdOknJyWak1KxZ0qJFDFMHUO3xjgVAN9wgnXmmWYXv1lttpwEAAIg8uTVqSMOGSW3amAPff29W6GMZZADVGE0pRDS/36usrA+VlfWh/H6v7Tghy+ORnnvOjA58/XVp3jzbiQAAQEV4/X59mJWlD7Oy5PX7bcfB0URFSd27S+edZyZE37VLmjZN+vFH28kAwAqaUohoPl+RZs0aqlmzhsrnK7IdJ6R16iTdeKPZHjdOKi62mwcAAJy4Ip9PQ2fN0tBZs1TELWGhr0kT6Te/MfMolJRIc+dKCxaYbQCoRmhKASjz179KqanS2rXS44/bTgMAABDBatSQhg6VOnY0++vWSe+9J+3ZYzcXAAQRTSkAZWrXNqvxSdL990sbN1qNAwAAENncbjNcfehQKSFB2rfPNKbWrrWdDACCgqYUgHIuv1zq00cqLJR+9zvJcWwnAgAAiHANG5rb+dLSzIp8n31mbufzMicqgMhGUwpAOS6X9MwzUnS09OGH0vvv204EAABQDcTHSwMHmpFTkrmd7/33pZwcu7kAoArRlAJwmBYtpNtuM9u//72Um2s3DwAAQLXgcpk5pgYPluLipN27zep8mzbZTgYAVYKmFIAj+r//MwvDbNki3Xef7TQAAADVSKNG0vDh0imnmCWRZ8+Wvv5a8vttJwOAgKIphYjm8cSoR4+n1aPH0/J4YmzHCSsJCdI//2m2//Y3aeVKu3kAAMDRxXg8erpHDz3do4diPB7bcRAIpavztWlj9pcvlz76SMrPtxoLAAKJphQimtsdrdatx6t16/Fyu6Ntxwk7Q4dKF11k5ti88UYmPQcAIFRFu90a37q1xrdurWg3JX7E8Hik7t2lfv3MhJ/btpnV+Xbtsp0MAAKCdywAx/TUU2bU1BdfSK+8YjsNAABANXTaadKwYVKtWlJenvTBB9KPP9pOBQAnjaYUIprf79O2bfO1bdt8+f0+23HCUnq6dM89Zvu228x8mwAAILT4/H7N37ZN87dtk495hyJT7dqmMZWWJvl80ty50ldfMc8UgLBGUwoRzecr1IwZfTRjRh/5fIW244StP/xBat1ays6WJk60nQYAAPxaoc+nPjNmqM+MGSr0cSEuYsXESAMGSO3bm/3vvpM+/lgqKrIaCwAqi6YUgOOKjpaefdZs//vf0qJFdvMAAABUW2631KWL1LevmXNqyxZp+nRp3z7byQCgwmhKATghZ58tjRljtm+4QSopsRoHAACgemvWTLrwQrNK3/79ZgL0rCzbqQCgQmhKAThhjz4q1a0rrVgh/e1vttMAAABUcykpZp6p+vXNFcNZs6Tvv2fJZABhg6YUgBNWr570+ONm+557pA0brMYBAABAfLw0ZIjUooXZX7RIWriQCdABhAWaUgAqZPRoqU8fqaBAuvFGLsQBAABY5/GYuRa6djX7q1ebCdCLi+3mAoDjoCkFoEJcLun556XYWGn2bOnNN20nAgAAgFwuqV07qX//gxOgv/++dOCA7WQAcFQ0pRDR3O5ode36qLp2fVRud7TtOBGjeXPpzjvN9i23SLt3280DAEB1F+1269GuXfVo166KdlPiV2sZGdIFF5jb+vbulaZPV8KePbZTAcARWX3Heuihh9S5c2clJSUpNTVVF110kdatW2czEiKMxxOjdu1uU7t2t8njibEdJ6LcdpvUurW0a5fZBgAEB/UTjiTG49Ft7drptnbtFOPx2I4D2+rVMxOg16kjFRQo8/PPNdx2JgA4AqtNqQULFmj8+PFavHixPvnkE3m9Xp133nnKy8uzGQvACYiJkV54wWxPmiTNm2c3DwBUF9RPAE5IjRpmxFRamtw+n96VlPr667ZTAUA5UTZffNasWeX2J02apNTUVC1btkznnHOOpVSIJH6/T9nZ30iSUlI6yu3mymEgde9uJjt/9lnp+uulFSukuDjbqQAgslE/4Uh8fr++yc6WJHVMSZGHW/ggmauIAwZo59y5St2wQY3+9jcz99Rjj0n8jQAIASH1f6L9+/dLkurUqWM5CSKFz1eo6dO7aPr0LvL5Cm3HiUgPPSQ1aCD98IP017/aTgMA1Q/1EySp0OdTl+nT1WX6dBX6fLbjIJS43drarp3KZlt48knpssukoiKbqQBAkuWRUodyHEcTJkxQz5491aZNmyOeU1RUpKJD/ueZk5MTrHiQtGbNmmr52qHG9s+iqKhIsbGx5Y7dcktt/elPTfXww361bbtWp51WdQ3AlJQUpaenV9nzh4usrCxl/++KuC38LgD7TqR+kqihgGrP5dLjksbdf78y7rtP+s9/pB07pPfek2rXtp0uaKifgNATMk2pm266SStWrNAXX3xx1HMeeugh3XvvvUFMBUnKz98uyaVRo0bZjqL8/Oo7X0bo/B5ckpwjHJ8ur/dCXXzxXklnH+Wckxcfn6C1a9dU6zfzrKwstWjRUgUF+VZz8LsA7DuR+kmihgJg7B08WBnduknDh0vz50vnnCPNnCmdeqrtaFUuKytLLVu0UH5BgdUcCfHxWrN2LfUT8D8h0ZT63e9+pw8++ECfffaZGjVqdNTzJk6cqAkTJpTt5+TkKC0tLRgRq7Wion2SHHXq9IzS07tayZCV9ZGWLr1TRUXFVl4/FITS7+FIGfLzozVnjk9ebw+1a7dJp50W+KtQe/eu0bx5o5SdnV2t38izs7NVUJCvPn1eV3JySysZ+F0A9p1o/SRRQwE4xLnnSp99Jg0aJH3/vXTWWaYx1bq17WRVKjs7W/kFBXq9Tx+1TE62kmHN3r0aNW8e9RNwCKtNKcdx9Lvf/U7vvfee5s+fr4yMjGOeHxsbe9htQwiepKRMpaR0tPLae/dy+16pUPg9HC1D167SwoXSqlXpatUqXUlJwU5YvSQnt7T2twDAnorWTxI1FIBfad9eWrRIGjhQWrdO6tlT+uAD6eyzbSerci2Tk9UxJcV2DAD/Y3Wi8/Hjx+v111/Xm2++qaSkJP3yyy/65ZdfVGB5SCWAymnVykx67vWaC3BO1dzBBwDVGvUTgIBo0sRcTezeXdq3TzrvPGnGDNupAFQzVptSzz77rPbv36/evXurQYMGZY///Oc/NmMBqCSXy0xN4PFIP/9sLrwBAAKL+glAwNStK82ZI51/vlRYKF10kfTGG7ZTAahGrN++B1QltztaHTveXbaNqlerltS5s7R4sRkV3qiRVKOG7VQAEDmon3Ak0W637u7YsWwbOGHx8dK770pXXy299po0apS0Z4/0u9/ZTgagGgiJic6BquLxxKhTp3tsx6h22rSRNmyQdu6UPv/cTFfgctlOBQBA5IrxeHRPp062YyBcRUdLkydLycnSP/4h/f73pjF1110UcQCqFJdRAASc2y316mU+btki/fCD7UQAAAA4Jrdb+vvfpfvuM/v33CPdfLPk99tMBSDC0ZRCRHMcv/bsWaU9e1bJcXhDDabkZOnMM832okVSfr7dPAAARDK/42jVnj1atWeP/NziicpyuaQ775Seftrs//Of0ujRUkmJ3VwAIhZNKUQ0r7dAU6e20dSpbeT1sipRsLVrJ6WkSEVF0hdfsBofAABVpcDrVZupU9Vm6lQVeL224yDcjR9vJjyPipJef10aPlxihU8AVYCmFIAqU3obn8slbdpk5pkCAABAGLjsMmn6dCkuTpoxQxowQNq/33YqABGGphSAKlW3rtShg9leuJCLbAAAAGFjyBBp9mypZk2zek3v3tKOHbZTAYggNKUAVLkOHaQ6daTCQm7jAwAACCtnny0tWCClpkrLl5th8Fu32k4FIELQlAJQ5Twec2HN5ZI2bpR+/NF2IgAAAJyw9u3NlcX0dGndOtOoYl4GAAFAUwpAUKSkHFyNb+FCKTfXbh4AAABUQPPm0mefSc2amclCzzlHWrvWdioAYY6mFICgad/ejPwuLjajwLmNDwAAIIw0bmwaU61aST//bBpTK1bYTgUgjNGUQkRzu6PVtu2tatv2Vrnd0bbjVHtut7mNz+MxdcyqVbYTAQAQGaLdbt3atq1ubdtW0W5KfFShBg3M1cUOHaRdu0xx9/XXtlMBCFNRtgMAVcnjiVG3bo/ZjoFD1K4tdetmbuH76iupUSNzDAAAVF6Mx6PHunWzHQPVRUqKNHeuNHiwtGiRdO650owZZuQUAFQAl1EABF2rVqYZ5fNJ8+ZJfr/tRAAAAKiQ2rWl2bOlPn2kAwekgQPNPgBUAE0pRDTH8evAgU06cGCTHIfOR6hwucxqwjExZtT3N9/YTgQAQHjzO442HTigTQcOyM+kjQiWGjWkDz80I6YKCqTzz5c++MB2KgBhhKYUIprXW6C33srQW29lyOstsB0Hh0hMlHr2NNvffitt3243DwAA4azA61XGW28p4623VOD12o6D6iQ+XnrvPek3vzGr2QwfLr39tu1UAMIETSkA1jRrJmVmmlX45s6ViopsJwIAAECFxcSYRtSoUWZ+hssuk15+2XYqAGGAphQAq7p3l2rWlPLyzArD3HEAAAAQhqKipFdeka6/3hR0V18tPf207VQAQhxNKQBWxcRI/fpJbre0caO0dq3tRAAAAKgUt1t69lnpllvM/u9+Jz3yiN1MAEIaTSkA1tWrJ3XubLa//FLau9duHgAAAFSSyyU98YR0551m/89/lu6+m+HwAI6IphSAkNC2rdSokZmGYO5ciTlaAQAAwpTLJd13n/Tww2b/vvuk226jMQXgMDSlAIQEl0vq3VuKi5N275YWL7adCAAAACfl9tulf/zDbD/xhDR+vOT3280EIKRE2Q4AVCW3O0qtWo0r20ZoS0iQ+vSRZs6UVq+W6tc3K/QBAIBji3K7Na5Vq7JtIGT87ndSfLx03XVmvqmCAunFFyWPx3YyACGAf6Ujonk8serZ81+2Y6AC0tKkDh2kb781q/HVrSslJ9tOBQBAaIv1ePSvnj1txwCO7JprTGNq9Ghp8mTTmHrtNSk62nYyAJZxGQVAyDnzTKlhQzOv1Jw5UkmJ7UQAAAA4KZdfLk2ZYhpR//mPNHKkVFRkOxUAy2hKIaI5jqOCgl0qKNglh4kVw4bbLfXta27n27tX+vxz5sUEAOBYHMfRroIC7SoooOZB6Bo+XJo+XYqNld5/X7rgAik/33YqABbRlEJE83rz9dprqXrttVR5vbzhhZOEBKlfPzMB+o8/SmvX2k4EAEDoyvd6lfraa0p97TXls4QtQtngwdKHH5pib/Zss3/ggO1UACyhKQUgZDVoIHXubLYXLpT27k2wGwgAAAAnr18/05CqWVNasEA67zxp3z7bqQBYQFMKQEhr105q3NisHrx4cVNJp9iOBAAAgJPVo4f06admRZvFi83cDdnZtlMBCDKaUgBCmssl9ekj1a4tFRTESHpXxcUu27EAAABwsjp1kubPl1JTzdLLvXpJ27fbTgUgiGhKAQh5MTFmVHd0tFdSDz3ySBoTnwMAAESCtm3NLXwNG0qrV0vnnCNlZdlOBSBIaEoBCAu1a0udO2+S5NP06Sl65hnLgQAAABAYLVqY5ZabNDEr3JxzjvTTT7ZTAQgCmlIAwkb9+jmSbpck3XyzNG+e3TwAAAAIkKZNpc8+k5o3lzZvNo0pll8GIh5NKUQ0tztKmZmjlZk5Wm53lO04CIgnNHjwbvl80siRXEQDAECSotxujc7M1OjMTEW5KfERptLSTGOqdWtp2zbTmPruO9upAFQh/pWOiObxxKp378m2YyDA/u//srRzZ10tXSoNHix9+aVUt67tVAAA2BPr8Why7962YwAnr359M/n5gAHSN9+YFW8+/ljq3Nl2MgBVgMsoAMJOXJyjDz6Q0tOl9eulCy+UCgttpwIAAEBApKRIn34qdesm7d0r9esnffGF7VQAqgBNKUQ0x3FUUpKnkpI8OSzXFlEaNJBmzpRq1ZIWLpSuvFLy+22nAgDADsdxlFdSorySEmoeRIbataXZs6XevaUDB8zIqTlzbKcCEGA0pRDRvN58TZpUQ5Mm1ZDXm287DgKsVStp+nQpOlp65x3pT3+ynQgAADvyvV7VmDRJNSZNUr7XazsOEBhJSdKHH5qGVH6+NHSo2QcQMWhKAQhrvXtLkyeb7SeekP75T5tpAAAAEFAJCdL775v5GoqKpIsukqZOtZ0KQIDQlAIQ9i67THrwQbN9883Sf/5jNw8AAAACKDbWDIv/7W8lr1e65BLp9ddtpwIQADSlAESEP/9ZuuEGyXGkUaOkGTNsJwIAAEDAREebRtTYsWYi0SuvlF54wXYqACeJphSAiOBySU8/bUZNeb3SiBHS3Lm2UwEAACBgPB7pxRelcePMlcjrr5eeesp2KgAngaYUgIjh8Zj5pUqnHLjgAmnRItupAAAAEDBut7kSeeutZv8Pf5D++lfTpAIQdmhKAYgo0dHS229L554r5eVJgwZJy5fbTgUAAICAcbmkRx+V7r7b7P/lL9Jtt9GYAsIQTSlENJfLo4yMEcrIGCGXy2M7DoIkLk6aPl3q0UPav1/q31/67jvbqQAAqDoel0sjMjI0IiNDHpfLdhyg6rlc0j33mOWXJfPxmmvMPA4AwkaU7QBAVYqKilP//u/YjgELEhOlDz+U+vWTli2T+vSRZs+WOnWynQwAgMCLi4rSO/37244BBN+ECVLt2tK110ovvyzt2ye9+aZZsQ9AyGOkFICIVauWNGeO1K2btHevaVAtXGg7FQAAAALqqqukd96RYmKkadOkoUOl3FzbqQCcAJpSACJa7dpmhFSvXlJOjnTeeazKBwAAEHGGDzfD5BMTzVXJc8+V9uyxnQrAcdCUQkQrKcnTCy+49MILLpWU5NmOA0uSkqSPPjINqfx8afBgsw8AQKTIKymR64UX5HrhBeWVlNiOA9hx7rnSp59KycnSV1+Zq5Lbt9tOBeAYaEoBqBYSEqQPPpAuuEAqKpIuvFCaPNl2KgAAAARU167SZ59JDRpIK1dKPXtKGzbYTgXgKGhKAag2YmOlqVOlyy4zC7OMHWtWEmb1YAAAgAjSpo30xRdS06amIdWzp+J+/NF2KgBHQFMKQLUSHS299pp0xx1m/777pNGjpeJiu7kAAAAQQE2bmsZUmzbS9u3KvPZadbOdCcBhaEoBqHbcbumvf5X+/W/J4zFNqgEDzAp9AAAAiBANGkgLFkjduikqJ0efSqrJHFNASKEpBaDauuYas0hLUpI0f7501lnS6tW2UwEAACBg6tSR5szR/h49lCDptMWLpXXrbKcC8D80pQBUawMGSJ9/LjVqZOqTLl2k//zHdioAAAAETGKifnriCU2W5HIcM3rq22+ZWBQIATSlENFcLo/S0gYrLW2wXC6P7TgIUe3aScuWSX36SHl50m9/K/3hD8wzBQAIHx6XS4PT0jQ4LU0el8t2HCD0REdrrKRfMjPN/pIl0qJFNKYAy2hKIaJFRcVp0KAPNWjQh4qKirMdByEsNVWaPVv685/N/lNPmSbVzz/bzQUAwImIi4rSh4MG6cNBgxQXFWU7DhCytrVpY+ZskKSVK6VPP5V8PruhgGqMphQA/E9UlPTQQ9L06VKtWtKXX5pRVFOn2k4GAACAgDnjDKlvX7P6zYYN0syZDJEHLKEpBQC/cuGF0tKlUvv20u7d0siR0uWXS3v22E4GAACAgGjWTBo4UIqOlrZtk/77Xyk/33YqoNqx2pT67LPPdP7556thw4ZyuVyaPn26zTiIQCUleXr55US9/HKiSkrybMdBGGnWTPrqK+n//s9cRHvzTXNRbdYs28kAgBoKh8srKVHiyy8r8eWXlVdSYjsOEB4aNZLOP1+KjzdXIt9/X9q/33YqoFqx2pTKy8tTu3bt9PTTT9uMgQjn9ebL6+WqByouJkZ64AFzG19mprmINmiQdPXVUna27XQAqjNqKBxJvterfK/XdgwgvKSkmGHyNWtKBw6YxtTOnbZTAdWG1abUoEGD9MADD2j48OE2YwDAMXXtalYN/v3vzf7LL5sm1bPPMi8mADuooQAggGrWlC64wDSoCgvNrXwbN9pOBVQLzCkFACcgIcGsyPfFF2by8717pXHjpM6dzWrCAAAACGMJCeZWvrQ0c9Xxk0+k77+3nQqIeGG1XmxRUZGKiorK9nNyciymAVAd9ehhJkF//nnpL38xI6i6d5cuvVS65x4zgqo6WbNmjbXXTklJUXp6urXXl6SsrCxlW76X0/bPgZ9BeKCGqt5s/r/a5mvjcLZ/H0VFRYqNjbXy2if0vUdHSwMGSAsXSmvWmCuPBw5I3bqZSUaBALJdQ4VK/RRWTamHHnpI9957r+0YAKq5qChp/HizKt8dd0gvvSS99ZY0ZYp05ZXSnXdKGRm2U1at/PztklwaNWqUtQzx8Qlau3aNtTfTrKwstWjRUgUFduess/lz4GcQPqihqqft+flySVb/X10qj1XNrAqVvwWXJMdqghP4W3S7pZ49zS19X30lrVxpGlN9+5qmFRAAWVlZatmihfILCqxlSIiP15q1a63XT2HVlJo4caImTJhQtp+Tk6O0tDSLiQBUZ6mp0osvmgbVXXdJM2ZIkyZJr71mJkOfOFFq3Nh2yqpRVLRPkqNOnZ5RenrXoL/+3r1rNG/eKGVnZ1t7I83OzlZBQb769HldycktrWSw/XPgZxA+qKGqp31FRXIkPdOpk7pa+u/jo6ws3bl0qYoPGamH4AulvwVbGSr0t+hymfkakpKkefOkzZtNoTdggLnNDzhJ2dnZyi8o0Ot9+qhlcnLQX3/N3r0aNW9eSNRPYdWUio2NtTbcE+HJ5XKrQYNeZdtAVejQwcyH+dVXpjk1e7a5ve/f/5Yuuki6+Wbp7LNNfRNpkpIylZLS0XYMq5KTW/Iz4GcQ8qihIp/b5VKvBg3Ktg+VmZSkjikpNmJpzd69Vl4XRxYKfwu2MlTqb7FpU9OEmj1b2rVLmj7dLMVsoYmAyNQyOdnaf5Ohwuq/0nNzc7V8+XItX75ckrRx40YtX75cWVlZNmMhgkRFxev88+fr/PPnKyoq3nYcRLiuXaWPP5Y++0zq31/y+6Vp06RevaSOHaXJkyWLI3QBRBBqKPxafFSU5p9/vuaff77io8LqujMQ2urXly68UKpVS8rNld5/X9q2zXYqIGJYbUotXbpUHTp0UIcOHSRJEyZMUIcOHXTXXXfZjAUAJ+Xss80FtZUrpeuuk+LjpeXLpbFjpVNOka66yowE9/ttJwUQrqihACCIatUyjalTTpGKi6WPPpLWr7edCogIVptSvXv3luM4hz0mT55sMxYABETr1uY2vq1bpYcfNvNLHThg5p3q21dq0sTMO7V0KQ0qABVDDQUAQRYXJw0ZYm7p8/ul+fOlr7+WHNtTtwPhjUl2ENFKSvL06qv19Oqr9VRSkmc7DqqpOnWk22+XNmyQFiyQrrnGXHDbssU0qzp3lho1kq691owIz+NPFQBQQXklJar36quq9+qryispsR0HiExRUVK/flL79mZ/+XLpk08k/psDKo2mFCJeYWG2CguzbccA5HZL55xjJkD/5RdpyhRp+HCpRg1p+3azkt9FF0l165p5qP7yF3Mb4IEDtpMDAMJBdmGhsgsLbccAIpvLJXXpIvXubYq7TZukDz4w800BqDBmQQQAC+LipJEjzaOoyEyOPmOGWcVv40az/9ln0l//Knk8ZoW/M880E6YnJCRIYhUtAAAAazIzzdD32bOl3bul996TzjvPzDsF4ITRlAIAy2JjzWp9/ftLf/+79MMP0uefH2xMbdpk5p1aurT0K1pIOqA5c7xKSTH1UO3aBz/GxFj6RgAAAKqTU06Rhg0zyy/v3m2uMJ5zjtS8ue1kQNigKQUAIcTlMhfeMjOlq682x7KypC+/lL791jyWLCnRvn3RysmJVk7O4c8RHW1uCSx9JCYe3E5IMKO0YmPNawEAAOAk1KghXXCBWVp50ybzce9eM2koxRZwXDSlACDEpaebx29/a/aXLftenTpdoO7d58vvb6Z9+6T9+6V9+6SCAjPX5t695nE0LpdpTsXFSfHxBz+Wbh/p4WYWQgAAgMNFR5sh70uWmMnPly+X9uwxyy0zhB04JppSABBmzEW3n1W/fo5SUsp/rqTErN6Xm1v+UXqsoEAqLjarFxcUmMexmleHiok52KDy+XpLmqQff2ymvLzyzavY2IMfaWQBAIBqoXQC9ORkM/9CVtbBeaaSk22nA0IWTSlENJfLrXr1OpVtA5EuOtrMK1W79tHP8fmkwkLTkCosPLhdul9QYCZfL/1c6UJOxcXmYW4ZPFXSGG3ZIm3ZcvTXio01o68SEsxthImJ5bdL9xndDgAnx+1yqVO9emXbACxp3twUYrNnm6Hs06dLffpITZpYDgaEJppSiGhRUfEaNmyJ7RhASPF4DjaEToTfb5pRhzapNm9erHXrpiktbbzi4xursLB8I6uoyHxtUZF57Nt39Od3u6WkJKlmTfOx9FGzpnkw6h0Aji8+KkpLhg2zHQOAJNWrJw0fLs2ZI23fbhpUHTrQmAKOgKYUAOCY3O6Dt+aVKin5SevWPaZmzQaoefPGh32N33+wSVVQYG4fPPSRn3/wo99vLiTu33/k109IODj6q/Th90dXwXcKAAAQIPHx0pAh0uLF0sqV0rff6rRt21TLdi4gxNCUAgAEnNt9cOL0Y02j4Peb5tSBA+a2wEM/HjhgGlr5+eaxbduhX3mGpByNGeNS9+5Su3bmccYZZpQVAACAdW631L27lJIiff65au3YoSWSSn76SerY0XY6ICTQlEJE83rzNWVKK0nSxRevVlRUguVEAA5VeuteUpLUsOHhny8uNrf+/fqxf78jx0nS999L339f/mtOO800qM4806zG3KkT84sCiHz5Xq9aTZkiSVp98cVKiKLMB0JGZqZUp46KZs5U84IC+a680hQ5l19uOxlgHe9WiGiO4yg3d3PZNoDwEhMjpaaax6F27vxW06eP0l//+qFycjL03XfSihVmNNVPP5nHtGkHz8/MNA2qLl3Mo3378rcjAkC4cxxHm3Nzy7YBhJiUFK3r21c7P/xQ5xYWSqNGmVX6nnqKogTVGk0pAEDYcbslaY0GDtyrjh0zyo7v2mWaU8uXS0uXSkuWmAbV+vXm8cYb5ryoKKltW9Oo6t5d6tlTyshgFUAAAFB1vLGxGiBp67XXqsGLL0ovvCB9/bU0daoZ6g1UQzSlAAARo149qV8/8yi1e7dpTi1ZYuq+r7+Wdu6UvvnGPJ5/3pxXv75pTvXoYT62aydFM586AAAIIL+k7TfcoAYjRpjb95YvN/NLTZpkVuwDqhmaUgCAiFa3rjRwoHlIkuNIW7aY5tRXX0kLF5pRVb/8Yi5UTp1qzktIkLp1O9ik6t5dqlHD3vcBAAAiyHnnSd9+K/32t6YY+c1vpD/8QXrkETN/AVBN0JQCAFQrLpeUnm4eI0aYYwUFpjG1cKH0xRfSl19Ke/dKc+eahyR5PGbS9N69pV69pMREt7Xv4f/bu/fwmK69D+DfSWYySUYSidyDJASthrSSlvTiWlRJQy+HUuSllKJItV7Koa1z0lKXw3uo04ujR5XjdTnUpYI09I3bSajEJdUKUXKT5kLIZTLr/WOdTIyJSEnm+v08z3pmsmfN3mvttbNnzW/WXpuIiIhsQMuWQFISMHs28MknwLJlwJEjwPr1cl4BIjvAoBQREdk9FxfgmWdkAgCdDjh7tjZIdegQcPGiHFl19Kj8EdPRMQLAUaSnB6FtW3n5H3/YJCIiot9FpQIWLZLDsuPiZFDq0UeBVauA4cPNXTqiJsegFNk0hUIBT8+O+udERA3h4AA88ohM48fLZdnZQHIy8P338vGXXxQAnsD588D583IEVosWQGAgEBAgg1RqtTlrQUT2RKFQoKOnp/45EVmZ2Fh5Od+IEXLI9ogRwO7dwF//Cri7m7t0RE2GQSmyaUqlK1555bS5i0FENqB1a2DkSJkAYNeudAwc+DFCQpbht9+8UVoKXLsm06lTMs+dQSre8ZmImoqrUonTr7xi7mIQ0YMICZG/fC1YAHz4IbBunRy2vX69nOiSyAYxKEVERHQf/P2rAHyNLl3i4e3tjbIyICcHuHpVPpaUyDv/FRYC6enyPS1a1AaoAgLkZYNEREREekolMH8+0LevHC2VlSUv7Zs3T8495eho7hISNSoGpYiIiBqBRgOEhckEADdv1gaocnKA4uLaIFVGhszj6SmDUzXJ1dVsxSciIiJL8tRTwI8/AhMnAt98A/zxj8DevcA//iFHVBHZCAalyKZptTexdevjAIAhQ45DqeQ3PiIyDVdX4yBVTYAqJ0fe3a8mnTkj83h4GAapmjUzX/mJyLrc1Grx+NatAIDjQ4bAVcluPpHV8/AAvv4aGDAAmDRJ3n2lUyd5p77x4+WElkRWjp9WZNOEECgqOqN/TkRkLq6uQNu2MgFAeblhkKqwUF7yV1ICnDsn87i5GQap3NzY/ySiugkhcKaoSP+ciGyEQiEntHzqKWDUKDnH1IQJwKZNwBdfAMHB5i4h0QNhUIqIiMgMnJ2B0FCZAKCiAsjNrQ1SXbsGXL8u008/yTwajWGQit87iYiI7ESbNnIS9BUr5NxS+/cD4eHAokXAG2/wVyuyWgxKERERWQC1Wv7YWfODZ2UlkJdXG6QqKADKyoCff5YJAJycOgP4F/7+dz+UlQFRUZw8nYiIyGY5OgLTpgEDBwL/9V9y1NTEibWjpjjXFFkhBqWIiIgskJMT0KqVTACg1RoGqfLzgcpKJYAXsGKF/OFUpQK6dAGefFKmp56SI6qIiIjIhrRrJ0dN/c//ALNmAQcOyLmmFi6Uo6YcHMxdQqIG49FKRERkBZRKIChIjoaKiQHi4oCePc8BiEefPkXw9weqqoCjR4GlS4FXXgECA+XlgSNGACtXAidPAtXVZq4IERERPThHR2DqVHmHvqefBm7cAN58Uz4/dcrcpSNqMAaliIiIrJCjI+DldRPAUixcmIWrV4GsLGDdOtknffRR+UPpxYvA+vXypj2PPQY0bw706SOno9i2TY66IiIiIitVM2rqL3+Rt+09fFgOm373XXndP5GF4+V7ZNMUCgWaNQvWPycislUKhZxKIiREjowC5CTpx47JKSdSUmQ/tbRUjvI/cKD2vS1bAk88UZsiIwF3d3PUgojul0KhQHCzZvrnRGRHHByAt94CXnpJjp7avFlOgL5xo7y+PyaGE6GTxWJQimyaUumK4cMvmrsYRERm4eYmR0X16SP/rq4Gzp6Vwaljx2TKyAB+/VWmLVtkPoUCePhhw0BVp05ynisiskyuSiUuDh9u7mIQkTkFBQH/+7/Azp1yiPSlS0BsLNC/P7BsGfDQQ+YuIZERBqWIiIjshKOjvHt0eDgwbpxcVlYGpKXJANXRo/Lx0iXgzBmZ/v53mU+tlpf/Pf64HEkVFcX5qYiIiCzSwIFAz57AggXAkiXAd9/JX5emTAH++Ed5LT+RhWBQioiIyI5pNMAzz8hUIy8POH68djTVsWNAURFw5IhMNZydIwAcwo8/tkSrVoCPD+DhwZv+EBERmZ1GAyQkAGPHAvHxwI4d8k4o69YBH34olysZDiDz41FINk2rvYUdO7oDAGJiDkKpdDFziYiILJ+fHzBokEwAIATwyy9yJNW//w2kpsrRVWVljgCexi+/yNcB2b/19pbJx0c+MlBF1PRuabXovmMHAOBgTAxc+GWTiAAgLAzYvl2Olpo2DTh3DpgwQQaoEhKAwYM53xSZFT+tyKYJoUNBwb/1z4mI6PdTKGSfNiysdhL16mpg27YzePnlBLRtuxg3bviisBDQaoHcXJlq3BmoqhlRxT4wUePRCYF/FxTonxMRGejfHzh1Cli5Uo6UyswEXnwR6NYNWLjQcMg0kQkxKEVERES/m6MjEBpaDmAdIiKmw9vbFzodUFICFBQA167Jx7sFqlSqukdUMVBFRETURFQqeXe+uDh5d74lS+R1+d27A88/D8ybJ+9uQmRCDEoRERFRo3BwADw9ZWrfXi7T6YDi4tog1bVrMlVVATk5MtWoCVTVBKkYqCIiImoCHh5yEvRJk4D33wc+/xzYtUum556Twalu3cxdSrITDEoRERFRk3FwALy8ZLozUHXniKqGBKp8fAB3dwaqiIiIHlhAAPDpp8CMGcCf/gT84x/Anj0y9e0LzJkjL+vjhy41IQaliIiIyKRuD1R16CCX6XTyDn+3j6i6W6DKyal2JJWzsyeANuAUOkRERPcpLAxYs0YGof70J+Crr4DERJmiomTQ6qWXeLc+ahI8qoiIiMjsHByAFi1kujNQdfuIqt9+AyorgatXZQJCAfyCvLx0M5aeiIjIBrRtC3z5pQxOffwxsHatvO3usGFAcLCcj2rsWDlkmaiRMChFNs/Z2dvcRSAiovtwe6Cqhk4nA1M1Qarc3DIUFV2Dn1+V+QpKZCG8nZ3NXQQisgVt2gCrV8u79K1cCfz1r8ClS0B8PDB3LvDqq8Abb8hRVEQPyMHcBSBqSiqVBqNGFWDUqAKoVBpzF4eIiB6Qg4O8bO+hh+Q0F716ZQII5XQXZPc0KhUKRo1CwahR0KhU5i4OEdkCX19g/nwgO1sGqR5+GCgrkxOjP/64DEp99hlQWmrukpIVY1CKiIiIrBwnlCIiImoyLi7A+PHA6dNAcjIwfLic4DE1VS738wOGDgW2b5fX2BP9DgxKEREREREREVH9FAqge3fg66+BK1eARYvkRJDl5cA//wnExso7+k2YICdJZ4CKGoBBKbJpWu0t7NjREzt29IRWe8vcxSEiIiJqEre0WvTcsQM9d+zALa3W3MUhIlvn7S3vynf2rJwMffp0GZD67Td5qV+/foCPj5x/6ptvgOJic5eYLBQnOiebJoQOOTnJ+udEREREtkgnBJJzcvTPiYhMQqEAIiNlWrQISEoCNm4EduwA8vKADRtkUiqBJ54AevcG+vQBunUDeHOGhhECqKoCKioMU2WlfNRq7550Ovn+ms+F/zzvoNXiOADvf/4T6NLFrNVjUIqIiIiIiIiIHoyjI/DsszLpdMDRo8C//iXnmjp7FkhJkWnBAhmQeuopGZzq2lUGrPz8zF0D0xECHgDU16/L4NLNm8CtW7WPNc9v3pSXRzbyjw0aAFEAcvPyGnW994NBKSIiIiIiIiJqPA4OQHS0TB99BGRlAQcOAPv3y8e8PPl8//7a9wQHyzv6hYcDjzwiU1iYnFTdWpSVybrl5QG5uXdNj+bmohiQc281lKOj3BdqdW1ycgJUKjkSra7k4CBHs9UkAFAo8HNpKaYcPoxPYmLg3wS74fdgUIqIiIiIiIiImk5oKDB2rExCyJFTycnAsWMynT0LXLok0+bNte9TKmVgKiREBq2Cg+Xzli3lnFU+PoCnpwy+NLbqaqCkRM6HVVwMFBUBBQVAfr5MeXnGjzdvNmjVNaXVqlRQuroCrq7yLoe3P6/528VFBqCUjRe+Kb12DXsA/CkkpNHWeb8YlCIiIiIiIiIi01AogI4dZZo4US4rLZUTpqelAWfOAKdPy8cbN4Bz52S6GwcHoEULwMsL0GgMk1otRxg5ONSm6mrj+Zlq0q1btUGo69fvr37OznLSd39/eUmiv79Ryrh2DVGDBiElJgZdvL3vbzs2gkEpIiIiIiIiIjIfd3c5CXrv3rXLhAB+/RXIzKwdRXXxony8ckWOWiotlfNXFRTI1BRcXYHmzWXy8QF8fWWw6W6PGk3tpXJ3UZmWhoqmKa3VYVCKbJ5S6WruIhARERE1OddGvLSDiMjsFAqgVSuZ7qayErh2TQakiovlnE63p4oKGbSqSdXVcuTU7fMyqdVydFPNY00AqnlzwMPDuua0skL85CKbplJpMGZMmbmLQURERNSkNCoVysaMMXcxiIhMy8kJCAyUiaxSE8wGRkREREREREREVD8GpYiIiIiIiIiIyOQYlCKbptWWY/fugdi9eyC02nJzF4eIiIioSZRrtRi4ezcG7t6Ncq3W3MUhIiJqEM4pRTZNiGpcvrxL/5yIiIjIFlULgV2XL+ufExERWQOOlCIiIiIiIiIiIpMze1Bq5cqVCA0NhbOzMyIjI3Ho0CFzF4mIiIjI4rEPRURERNbOrEGpjRs3Ytq0aXjvvfdw4sQJPPPMMxgwYACys7PNWSwiIiIii8Y+FBEREdkCswallixZgrFjx+L111/Hww8/jGXLlqFVq1ZYtWqVOYtFREREZNHYhyIiIiJbYLagVGVlJVJTU9GvXz+D5f369UNKSoqZSkVERERk2diHIiIiIlthtrvvXbt2DdXV1fDz8zNY7ufnh9zc3DrfU1FRgYqKCv3fJSUlAIDS0tImK+eNGzcAAAUFqaiqutFk27mb4uKz/3n8ETk5KpNv39rLoNWW65/n5v4flEpnk26/MbEMQHFxJgAgNTVV/79pDg4ODtDpdGbbfmam3A/mOi8BPBYAS2kH8+4HS9oHN27caLL+QM16hYXc0cwa+lA1x2NqQQFuVFU1yTbu5WxxMQDgx+JiqHJybL4M5Vqt/vn/5ebCWam0u31gqWUw9/ZZBsvYPgBk/qcM9t6XNff2LaEMNX0oc31O1hyLFtF/EmZy5coVAUCkpKQYLF+wYIHo0KFDne+ZN2+eAMDExMTExMTEZPJ0+fJlU3SR7ol9KCYmJiYmJiZrSffqP5ltpJS3tzccHR2NftHLz883+uWvxqxZsxAfH6//W6fT4bfffkOLFi2gUCiatLyNrbS0FK1atcLly5fh7u5u7uKYnL3XH+A+YP3tu/4A94G91x+wnn0ghMD169cRGBho7qIAsO0+lLUcEySxvawH28p6sK2sC9vr7hrafzJbUMrJyQmRkZFITEzEkCFD9MsTExMRGxtb53vUajXUarXBsubNmzdlMZucu7u7XR+89l5/gPuA9bfv+gPcB/Zef8A69oGHh4e5i6BnD30oazgmqBbby3qwrawH28q6sL3q1pD+k9mCUgAQHx+PkSNHIioqCtHR0fjb3/6G7OxsTJgwwZzFIiIiIrJo7EMRERGRLTBrUGro0KEoLCzEBx98gJycHISHh2PXrl0IDg42Z7GIiIiILBr7UERERGQLzBqUAoA333wTb775prmLYXJqtRrz5s0zGkpvL+y9/gD3Aetv3/UHuA/svf4A98GDssU+FI8J68L2sh5sK+vBtrIubK8HpxDCQu5vTEREREREREREdsPB3AUgIiIiIiIiIiL7w6AUERERERERERGZHINSRERERERERERkcgxK3af58+dDoVAYJH9/f/3rQgjMnz8fgYGBcHFxQc+ePXH69GmDdVRUVGDKlCnw9vaGRqPBCy+8gF9//dUgT1FREUaOHAkPDw94eHhg5MiRKC4uNkUV7ykkJMRoHygUCkyaNAkAEBcXZ/Rat27dDNZhTfvg4MGDiImJQWBgIBQKBbZt22bwuinbPDs7GzExMdBoNPD29sZbb72FysrKpqi2Xn31r6qqwsyZM9GpUydoNBoEBgZi1KhRuHr1qsE6evbsaXRMDBs2zCCPpdYfuPcxYMpj3tKOAQB1ng8UCgUWLVqkz2PNx0BCQgIef/xxuLm5wdfXF4MHD0ZmZqZBHls+D9yr/vZyHiBj9v75aC3s/RxmbVatWoXOnTvD3d0d7u7uiI6Oxu7du/Wvs60sV0JCAhQKBaZNm6ZfxvayHJb0PZ5t9R+C7su8efPEI488InJycvQpPz9f//pHH30k3NzcxObNm0V6eroYOnSoCAgIEKWlpfo8EyZMEEFBQSIxMVGkpaWJXr16iYiICKHVavV5nnvuOREeHi5SUlJESkqKCA8PF4MGDTJpXe8mPz/foP6JiYkCgEhKShJCCDF69Gjx3HPPGeQpLCw0WIc17YNdu3aJ9957T2zevFkAEFu3bjV43VRtrtVqRXh4uOjVq5dIS0sTiYmJIjAwUEyePNls9S8uLhbPPvus2Lhxozh37pw4fPiw6Nq1q4iMjDRYR48ePcS4ceMMjoni4mKDPJZafyHufQyY6pi3xGNACGFQ75ycHPHll18KhUIhfvnlF30eaz4G+vfvL9asWSMyMjLEyZMnxcCBA0Xr1q3FjRs39Hls+Txwr/rby3mAjNn756O1sPdzmLXZvn272Llzp8jMzBSZmZli9uzZQqVSiYyMDCEE28pSHTt2TISEhIjOnTuLqVOn6pezvSyHpXyPZ1vVYlDqPs2bN09ERETU+ZpOpxP+/v7io48+0i8rLy8XHh4e4tNPPxVCyM67SqUSGzZs0Oe5cuWKcHBwEHv27BFCCHHmzBkBQBw5ckSf5/DhwwKAOHfuXBPU6sFMnTpVtG3bVuh0OiGE/IIeGxt71/zWvA/u7HSbss137dolHBwcxJUrV/R5vvnmG6FWq0VJSUmT1PdOdX3puNOxY8cEAHHp0iX9sh49ehh8QN/JWuovRN37wFTHvCXsg4YcA7GxsaJ3794Gy2zpGMjPzxcARHJyshDC/s4Dd9a/LrZ+HiBj9v75aE3s/RxmjTw9PcXnn3/OtrJQ169fF+3atROJiYkGn3VsL8tiKd/j2Va1ePneAzh//jwCAwMRGhqKYcOG4cKFCwCArKws5Obmol+/fvq8arUaPXr0QEpKCgAgNTUVVVVVBnkCAwMRHh6uz3P48GF4eHiga9eu+jzdunWDh4eHPo+lqKysxLp16zBmzBgoFAr98u+//x6+vr5o3749xo0bh/z8fP1rtrQPTNnmhw8fRnh4OAIDA/V5+vfvj4qKCqSmpjZpPX+PkpISKBQKNG/e3GD5119/DW9vbzzyyCOYMWMGrl+/rn/NFupvimPe0vcBAOTl5WHnzp0YO3as0Wu2cgyUlJQAALy8vADY33ngzvrfLY89ngeolr39X1gTez+HWZPq6mps2LABZWVliI6OZltZqEmTJmHgwIF49tlnDZazvSyPJXyPZ1vVUpq7ANaqa9eu+Oqrr9C+fXvk5eVhwYIFePLJJ3H69Gnk5uYCAPz8/Aze4+fnh0uXLgEAcnNz4eTkBE9PT6M8Ne/Pzc2Fr6+v0bZ9fX31eSzFtm3bUFxcjLi4OP2yAQMG4JVXXkFwcDCysrIwd+5c9O7dG6mpqVCr1Ta1D0zZ5rm5uUbb8fT0hJOTk8Xsk/Lycvz3f/83hg8fDnd3d/3yESNGIDQ0FP7+/sjIyMCsWbPw448/IjExEYD1199Ux7wl74Maa9euhZubG1588UWD5bZyDAghEB8fj6effhrh4eH6cgH2cR6oq/53stfzABmyp/8La2Lv5zBrkZ6ejujoaJSXl6NZs2bYunUrOnbsqP9Sy7ayHBs2bEBaWhqOHz9u9Br/tyyLpXyPZ1vVYlDqPg0YMED/vFOnToiOjkbbtm2xdu1a/cTGt48YAmQH4M5ld7ozT135G7IeU/viiy8wYMAAg0jv0KFD9c/Dw8MRFRWF4OBg7Ny50+iL6u2sdR8ApmtzS94nVVVVGDZsGHQ6HVauXGnw2rhx4/TPw8PD0a5dO0RFRSEtLQ1dunQBYN31N+Uxb6n7oMaXX36JESNGwNnZ2WC5rRwDkydPxqlTp/DDDz8YvWYP54H66g/Y93mA6mYP/xfWxN7PYdaiQ4cOOHnyJIqLi7F582aMHj0aycnJ+tfZVpbh8uXLmDp1Kvbu3WvU77kd28syWNL3eLaVxMv3GolGo0GnTp1w/vx5/ez9d0Y48/Pz9dFQf39/VFZWoqioqN48eXl5RtsqKCgwiqqa06VLl7Bv3z68/vrr9eYLCAhAcHAwzp8/D8C29oEp29zf399oO0VFRaiqqjL7PqmqqsIf/vAHZGVlITEx0WB0RF26dOkClUplcExYc/3v1FTHvKXvg0OHDiEzM/Oe5wTAOo+BKVOmYPv27UhKSkLLli31y+3lPHC3+tfgeYBuZy//F9bE3s9h1sTJyQlhYWGIiopCQkICIiIi8Je//IVtZWFSU1ORn5+PyMhIKJVKKJVKJCcnY/ny5VAqlfr9xPayTOb6Hs+2qsWgVCOpqKjA2bNnERAQoL8soeZSBEDOuZScnIwnn3wSABAZGQmVSmWQJycnBxkZGfo80dHRKCkpwbFjx/R5jh49ipKSEn0eS7BmzRr4+vpi4MCB9eYrLCzE5cuXERAQAMC29oEp2zw6OhoZGRnIycnR59m7dy/UajUiIyObtJ71qfkiev78eezbtw8tWrS453tOnz6Nqqoq/TFhzfWvS1Md85a+D7744gtERkYiIiLinnmt6RgQQmDy5MnYsmULDhw4gNDQUIPXbf08cK/6AzwPkDFb/7+wJvZ+DrMFQghUVFSwrSxMnz59kJ6ejpMnT+pTVFQURowYgZMnT6JNmzZsLwtmru/xbKvbNPrU6Xbi7bffFt9//724cOGCOHLkiBg0aJBwc3MTFy9eFELIW0l6eHiILVu2iPT0dPHqq6/WeSvJli1bin379om0tDTRu3fvOm8l2blzZ3H48GFx+PBh0alTJ4NbSZpbdXW1aN26tZg5c6bB8uvXr4u3335bpKSkiKysLJGUlCSio6NFUFCQ1e6D69evixMnTogTJ04IAGLJkiXixIkT+rtKmarNa24f2qdPH5GWlib27dsnWrZs2eS3D62v/lVVVeKFF14QLVu2FCdPnjS4xWpFRYUQQoiff/5ZvP/+++L48eMiKytL7Ny5Uzz00EPiscces4r632sfmPKYt8RjoEZJSYlwdXUVq1atMnq/tR8DEydOFB4eHuL77783OMZv3rypz2PL54F71d9ezgNkzN4/H62FvZ/DrM2sWbPEwYMHRVZWljh16pSYPXu2cHBwEHv37hVCsK0s3Z13mmV7WQ5L+R7PtqrFoNR9Gjp0qAgICBAqlUoEBgaKF198UZw+fVr/uk6nE/PmzRP+/v5CrVaL7t27i/T0dIN13Lp1S0yePFl4eXkJFxcXMWjQIJGdnW2Qp7CwUIwYMUK4ubkJNzc3MWLECFFUVGSKKjbId999JwCIzMxMg+U3b94U/fr1Ez4+PkKlUonWrVuL0aNHG9XPmvZBUlKSAGCURo8eLYQwbZtfunRJDBw4ULi4uAgvLy8xefJkUV5e3pTVr7f+WVlZdb4GQCQlJQkhhMjOzhbdu3cXXl5ewsnJSbRt21a89dZborCw0Crqf699YOpj3tKOgRqrV68WLi4uori42Oj91n4M3O0YX7NmjT6PLZ8H7lV/ezkPkDF7/3y0FvZ+DrM2Y8aMEcHBwcLJyUn4+PiIPn366ANSQrCtLN2dQSm2l+WwpO/xbCtJIYQQjTLkioiIiIiIiIiIqIE4pxQREREREREREZkcg1JERERERERERGRyDEoREREREREREZHJMShFREREREREREQmx6AUERERERERERGZHINSRERERERERERkcgxKERERERERERGRyTEoRUREREREREREJsegFBHZrZCQECxbtszcxSAiIiKyGuw/EVFjYlCKiO4pLi4OCoUCCoUCKpUKbdq0wYwZM1BWVtYk20tKSsLzzz+PFi1awNXVFR07dsTbb7+NK1euNOp2jh8/jvHjx+v/VigU2LZtW6Osu7KyEosWLUKXLl2g0Wjg4eGBiIgIzJkzB1evXtXnu3Pf+vn5oW/fvvjyyy+h0+kM1hkSEqLP6+rqivDwcKxevbpRyktERESNi/2n34/9JyL7w6AUETXIc889h5ycHFy4cAELFizAypUrMWPGjPtalxACWq22ztdWr16NZ599Fv7+/ti8eTPOnDmDTz/9FCUlJVi8ePGDVMGIj48PXF1dG3WdAFBRUYG+ffviz3/+M+Li4nDw4EGkpqZi4cKFKCwsxIoVKwzy1+zbixcvYvfu3ejVqxemTp2KQYMGGe2nDz74ADk5OTh16hQGDx6MCRMmYOPGjY1eByIiInpw7D81HPtPRHZKEBHdw+jRo0VsbKzBstdff134+/sLIYTQ6XTi448/FqGhocLZ2Vl07txZbNq0SZ83KSlJABB79uwRkZGRQqVSiQMHDhht5/Lly8LJyUlMmzatznIUFRUJIYS4du2aGDZsmAgKChIuLi4iPDxcrF+/3iBvjx49xKRJk8SkSZOEh4eH8PLyEu+9957Q6XT6PMHBwWLp0qX65wD0KTg4WAghxM8//yxeeOEF4evrKzQajYiKihKJiYn17q+EhATh4OAg0tLS6nz99jLUtW+FEGL//v0CgPjss8/qLG+Ndu3aiWHDhtVbHiIiIjI99p/YfyKie+NIKSK6Ly4uLqiqqgIAzJkzB2vWrMGqVatw+vRpTJ8+Ha+99hqSk5MN3vPuu+8iISEBZ8+eRefOnY3WuWnTJlRWVuLdd9+tc5vNmzcHAJSXlyMyMhLffvstMjIyMH78eIwcORJHjx41yL927VoolUocPXoUy5cvx9KlS/H555/Xue7jx48DANasWYOcnBz93zdu3MDzzz+Pffv24cSJE+jfvz9iYmKQnZ19133zzTffoG/fvnjsscfqfF2hUNz1vTV69+6NiIgIbNmypd58zs7O+nYgIiIiy8b+E/tPRGRIae4CEJH1OXbsGNavX48+ffqgrKwMS5YswYEDBxAdHQ0AaNOmDX744QesXr0aPXr00L/vgw8+QN++fe+63vPnz8Pd3R0BAQH1bj8oKMhg6PuUKVOwZ88ebNq0CV27dtUvb9WqFZYuXQqFQoEOHTogPT0dS5cuxbhx44zW6ePjA0B23Pz9/fXLIyIiEBERof97wYIF2Lp1K7Zv347JkyfXWb6ffvoJPXv2NFg2ZMgQJCYmAgA6d+6MlJSUeusIAA899BBOnTpV52tarRbr1q1Deno6Jk6ceM91ERERkXmx/8T+ExEZY1CKiBrk22+/RbNmzaDValFVVYXY2FisWLECZ86cQXl5uVFnqbKy0uiXrqioqHq3IYRo0K9g1dXV+Oijj7Bx40ZcuXIFFRUVqKiogEajMcjXrVs3g/VFR0dj8eLFqK6uhqOj4z23AwBlZWV4//338e233+Lq1avQarW4detWvb/0Aca/5q1cuRJlZWVYvnw5Dh482KBt17U/Zs6ciTlz5qCiogJOTk5455138MYbbzRofURERGRa7D+x/0RE9WNQiogapFevXli1ahVUKhUCAwOhUqkAAFlZWQCAnTt3IigoyOA9arXa4O87Oz13at++PUpKSpCTk1Pvr32LFy/G0qVLsWzZMnTq1AkajQbTpk1DZWXl/VStXu+88w6+++47fPLJJwgLC4OLiwtefvnlerfVrl07nDt3zmBZTX28vLwavO2zZ88iNDTUqDxxcXFwdXVFQEBAgzqhREREZB7sP7H/RET145xSRNQgGo0GYWFhCA4O1neoAKBjx45Qq9XIzs5GWFiYQWrVqtXv2sbLL78MJycnLFy4sM7Xi4uLAQCHDh1CbGwsXnvtNURERKBNmzY4f/68Uf4jR44Y/d2uXbu7/sqnUqlQXV1tsOzQoUOIi4vDkCFD0KlTJ/j7++PixYv11uPVV19FYmIiTpw4UW+++hw4cADp6el46aWXDJZ7e3sjLCwMgYGB7FARERFZOPaf2H8iovpxpBQRPRA3NzfMmDED06dPh06nw9NPP43S0lKkpKSgWbNmGD16dIPXVTOHweTJk1FaWopRo0YhJCQEv/76K7766is0a9YMixcvRlhYGDZv3oyUlBR4enpiyZIlyM3NxcMPP2ywvsuXLyM+Ph5vvPEG0tLSsGLFinpvixwSEoL9+/fjqaeeglqthqenJ8LCwrBlyxbExMRAoVBg7ty50Ol09dZj+vTp2LlzJ3r37o358+fjmWeegaenJ3766Sfs3r3bqFNXUVGB3NxcVFdXIy8vD3v27EFCQgIGDRqEUaNGNXj/ERERkXVg/8kY+09E9olBKSJ6YB9++CF8fX2RkJCACxcuoHnz5ujSpQtmz579u9f15ptvon379vjkk08wZMgQ3Lp1CyEhIRg0aBDi4+MBAHPnzkVWVhb69+8PV1dXjB8/HoMHD0ZJSYnBukaNGoVbt27hiSeegKOjI6ZMmYLx48ffdduLFy9GfHw8PvvsMwQFBeHixYtYunQpxowZgyeffBLe3t6YOXMmSktL662Ds7Mz9u/fj2XLlmHNmjWYNWsWdDodQkNDMWDAAEyfPt0g/549exAQEAClUglPT09ERERg+fLlGD16NBwcOKCViIjIFrH/ZIj9JyL7pBBCCHMXgoiosfXs2ROPPvooli1bZu6iEBEREVkF9p+IyNQYQiYiIiIiIiIiIpNjUIqIiIiIiIiIiEyOl+8REREREREREZHJcaQUERERERERERGZHINSRERERERERERkcgxKERERERERERGRyTEoRUREREREREREJsegFBERERERERERmRyDUkREREREREREZHIMShERERERERERkckxKEVERERERERERCbHoBQREREREREREZnc/wM9GET9mQM4AwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "gdf = gdf.dropna(subset=[\"PCGDP1960\", \"PCGDP2000\"])\n", "\n", "plt.figure(figsize=(12, 6))\n", "\n", "# Histogram & KDE for 1960\n", "plt.subplot(1, 2, 1)\n", "sns.histplot(gdf[\"PCGDP1960\"], bins=15, color=\"blue\", alpha=0.6, kde=True)\n", "plt.axvline(gdf[\"PCGDP1960\"].median(), color=\"black\", linestyle=\"dashed\", label=\"Median\")\n", "plt.title(\"Income Distribution in 1960\")\n", "plt.xlabel(\"Per Capita GDP\")\n", "plt.ylabel(\"Frequency\")\n", "plt.legend()\n", "\n", "# Histogram & KDE for 2000\n", "plt.subplot(1, 2, 2)\n", "sns.histplot(gdf[\"PCGDP2000\"], bins=15, color=\"red\", alpha=0.6, kde=True)\n", "plt.axvline(gdf[\"PCGDP2000\"].median(), color=\"black\", linestyle=\"dashed\", label=\"Median\")\n", "plt.title(\"Income Distribution in 2000\")\n", "plt.xlabel(\"Per Capita GDP\")\n", "plt.ylabel(\"Frequency\")\n", "plt.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "d80b917e-6135-4924-9d9c-c16c839c7738", "metadata": {}, "source": [ "We can emphasize the changes in the distribution by using the same range for the two densities:" ] }, { "cell_type": "code", "execution_count": 51, "id": "c8b7ef8c-7682-4638-bb48-d7476cbb7f8e", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.figure(figsize=(12, 6))\n", "\n", "min_value = min(gdf[\"PCGDP1960\"].min(), gdf[\"PCGDP2000\"].min())\n", "max_value = max(gdf[\"PCGDP1960\"].max(), gdf[\"PCGDP2000\"].max())\n", "\n", "\n", "# Histogram & KDE for 1960\n", "plt.subplot(1, 2, 1)\n", "sns.histplot(gdf[\"PCGDP1960\"], bins=15, color=\"blue\", alpha=0.6, kde=True)\n", "plt.axvline(gdf[\"PCGDP1960\"].median(), color=\"black\", linestyle=\"dashed\", label=\"Median\")\n", "plt.title(\"Income Distribution in 1960\")\n", "plt.xlabel(\"Per Capita GDP\")\n", "plt.xlim(min_value, max_value)\n", "plt.ylabel(\"Frequency\")\n", "plt.legend()\n", "\n", "# Histogram & KDE for 2000\n", "plt.subplot(1, 2, 2)\n", "sns.histplot(gdf[\"PCGDP2000\"], bins=15, color=\"red\", alpha=0.6, kde=True)\n", "plt.axvline(gdf[\"PCGDP2000\"].median(), color=\"black\", linestyle=\"dashed\", label=\"Median\")\n", "plt.title(\"Income Distribution in 2000\")\n", "plt.xlabel(\"Per Capita GDP\")\n", "plt.xlim(min_value, max_value)\n", "\n", "plt.ylabel(\"Frequency\")\n", "plt.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "6990511a-278f-42f9-85bb-7ab4af297ddf", "metadata": {}, "source": [ "From these plots, we observe that:\n", "\n", "- In 1960, the distribution appears more concentrated, suggesting that regional economies were more similar.\n", "- By 2000, the spread has widened, with more states falling into high-income and low-income categories, possibly reflecting greater economic divergence\n", "\n", "We quantify this polarization using the Wolfson index:" ] }, { "cell_type": "code", "execution_count": 52, "id": "997d3807-7dd6-450d-91ed-d1f074544f8e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wolfson Index (1960): 0.1107\n", "Wolfson Index (2000): 0.1362\n" ] } ], "source": [ "w_1960 = wolfson(gdf[\"PCGDP1960\"])\n", "w_2000 = wolfson(gdf[\"PCGDP2000\"])\n", "\n", "print(f\"Wolfson Index (1960): {w_1960:.4f}\")\n", "print(f\"Wolfson Index (2000): {w_2000:.4f}\")" ] }, { "cell_type": "markdown", "id": "1c99a586-979e-44a9-99b9-3dd778da1fea", "metadata": {}, "source": [ "A higher Wolfson index in 2000 compared to 1960 confirms that income polarization has increased.\n", "This suggests that economic growth has not been uniform—some regions have advanced while others have stagnated, exacerbating regional inequalities.\n" ] }, { "cell_type": "markdown", "id": "a85091fe-15fb-4e1f-8573-6b09fa74f48c", "metadata": {}, "source": [ "To track the evolution of economic bipolarization over time, we compute the Wolfson index for each decade from 1940 to 2010." ] }, { "cell_type": "code", "execution_count": 58, "id": "8216d6e5-5458-45e1-97fc-b924fba4e5e3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "years = range(1940, 2010, 10)\n", "w_values = [wolfson(gdf[f\"PCGDP{year}\"]) for year in years]\n", "\n", "import pandas as pd\n", "\n", "ts = pd.DataFrame({\"Year\": years, \"Wolfson Index\": w_values}).set_index(\"Year\")\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(ts.index, ts[\"Wolfson Index\"], marker=\"o\", linestyle=\"-\")\n", "plt.title(\"Evolution of State Income Bipolarization in Mexico (1940-2000)\")\n", "plt.xlabel(\"Year\")\n", "plt.ylabel(\"Wolfson Bipolarization Index\")\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "1660776e-0de3-4400-b8db-d75e18e09fdc", "metadata": {}, "source": [ "Thus, while bipolarization in 2000 exceeded that in 1960, the level of polarization was lower relative to the values at the beginning of the period." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.8" } }, "nbformat": 4, "nbformat_minor": 5 }