{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "918ccf5b",
   "metadata": {},
   "source": [
    "# 10 · Economía y econometría\n",
    "\n",
    "Los economistas usan Python para contrastar teorías con datos y para hacer previsiones. **statsmodels** ofrece\n",
    "las herramientas econométricas (regresión con errores estándar adecuados, modelos de series temporales,\n",
    "contrastes estadísticos) sobre pandas. Este módulo trabaja con cincuenta años de datos macroeconómicos de\n",
    "Estados Unidos.\n",
    "\n",
    "**Aprenderás**\n",
    "1. Convertir niveles en tasas de crecimiento y manejar fechas trimestrales\n",
    "2. Contrastar una ley económica con una regresión: la ley de Okun (producción y desempleo)\n",
    "3. Leer una regresión con honestidad: coeficientes, intervalos de confianza, errores estándar robustos, revisión de residuos\n",
    "4. Prever el crecimiento del PIB con un modelo ARIMA y compararlo con previsiones ingenuas mediante un backtest adecuado"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ee84d0c",
   "metadata": {},
   "source": [
    "## 1. Los datos\n",
    "`macrodata` viene con statsmodels: series trimestrales de Estados Unidos de 1959 a 2009, que incluyen el PIB\n",
    "real, la tasa de desempleo, la inflación y los tipos de interés."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "592f4759",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:22.112394Z",
     "iopub.status.busy": "2026-10-18T10:12:22.111896Z",
     "iopub.status.idle": "2026-10-18T10:12:27.579503Z",
     "shell.execute_reply": "2026-10-18T10:12:27.577423Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "    Number of Observations - 203\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>realgdp</th>\n",
       "      <th>unemp</th>\n",
       "      <th>infl</th>\n",
       "      <th>tbilrate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2008Q3</th>\n",
       "      <td>13324.600</td>\n",
       "      <td>6.0</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>1.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008Q4</th>\n",
       "      <td>13141.920</td>\n",
       "      <td>6.9</td>\n",
       "      <td>-8.79</td>\n",
       "      <td>0.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009Q1</th>\n",
       "      <td>12925.410</td>\n",
       "      <td>8.1</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009Q2</th>\n",
       "      <td>12901.504</td>\n",
       "      <td>9.2</td>\n",
       "      <td>3.37</td>\n",
       "      <td>0.18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009Q3</th>\n",
       "      <td>12990.341</td>\n",
       "      <td>9.6</td>\n",
       "      <td>3.56</td>\n",
       "      <td>0.12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          realgdp  unemp  infl  tbilrate\n",
       "2008Q3  13324.600    6.0 -3.16      1.17\n",
       "2008Q4  13141.920    6.9 -8.79      0.12\n",
       "2009Q1  12925.410    8.1  0.94      0.22\n",
       "2009Q2  12901.504    9.2  3.37      0.18\n",
       "2009Q3  12990.341    9.6  3.56      0.12"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np, pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "raw = sm.datasets.macrodata.load_pandas().data\n",
    "raw.index = pd.PeriodIndex.from_fields(year=raw[\"year\"].astype(int), quarter=raw[\"quarter\"].astype(int), freq=\"Q\")\n",
    "print(sm.datasets.macrodata.NOTE.split(\"Number of Variables\")[0].strip()[:400])\n",
    "raw[[\"realgdp\", \"unemp\", \"infl\", \"tbilrate\"]].tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "77f65876",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:27.583633Z",
     "iopub.status.busy": "2026-10-18T10:12:27.583243Z",
     "iopub.status.idle": "2026-10-18T10:12:28.053774Z",
     "shell.execute_reply": "2026-10-18T10:12:28.052219Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>gdp_growth</th>\n",
       "      <th>unemp</th>\n",
       "      <th>d_unemp</th>\n",
       "      <th>infl</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>202.00</td>\n",
       "      <td>202.00</td>\n",
       "      <td>202.00</td>\n",
       "      <td>202.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.10</td>\n",
       "      <td>5.89</td>\n",
       "      <td>0.02</td>\n",
       "      <td>3.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>3.52</td>\n",
       "      <td>1.46</td>\n",
       "      <td>0.34</td>\n",
       "      <td>3.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>-8.28</td>\n",
       "      <td>3.40</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-8.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.34</td>\n",
       "      <td>4.90</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>2.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>3.06</td>\n",
       "      <td>5.65</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>5.09</td>\n",
       "      <td>6.80</td>\n",
       "      <td>0.10</td>\n",
       "      <td>4.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>15.43</td>\n",
       "      <td>10.70</td>\n",
       "      <td>1.60</td>\n",
       "      <td>14.62</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       gdp_growth   unemp  d_unemp    infl\n",
       "count      202.00  202.00   202.00  202.00\n",
       "mean         3.10    5.89     0.02    3.98\n",
       "std          3.52    1.46     0.34    3.25\n",
       "min         -8.28    3.40    -0.90   -8.79\n",
       "25%          1.34    4.90    -0.20    2.28\n",
       "50%          3.06    5.65     0.00    3.24\n",
       "75%          5.09    6.80     0.10    4.98\n",
       "max         15.43   10.70     1.60   14.62"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame({\n",
    "    \"gdp_growth\": 400 * np.log(raw[\"realgdp\"]).diff(),     # crecimiento anualizado en % (diferencia logarítmica)\n",
    "    \"unemp\": raw[\"unemp\"],\n",
    "    \"d_unemp\": raw[\"unemp\"].diff(),                        # cambio de la tasa de desempleo, en puntos\n",
    "    \"infl\": raw[\"infl\"],\n",
    "}).dropna()\n",
    "\n",
    "fig, ax = plt.subplots(2, 1, figsize=(10, 5), sharex=True)\n",
    "df[\"gdp_growth\"].plot(ax=ax[0], color=\"#4f46e5\"); ax[0].axhline(0, color=\"grey\", lw=.6); ax[0].set_ylabel(\"crecimiento del PIB, % anual\")\n",
    "df[\"unemp\"].plot(ax=ax[1], color=\"#ef4444\"); ax[1].set_ylabel(\"desempleo, %\")\n",
    "plt.tight_layout(); plt.show()\n",
    "df.describe().round(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa6922e8",
   "metadata": {},
   "source": [
    "## 2. La ley de Okun\n",
    "Arthur Okun observó en 1962 que, cuando la producción crece más rápido que su ritmo normal, el desempleo baja.\n",
    "En forma de regresión: $\\Delta u_t = \\alpha + \\beta\\, g_t + \\varepsilon_t$, donde $g_t$ es el crecimiento del\n",
    "PIB. La \"regla práctica\" de Okun espera un $\\beta$ de entre $-0.3$ y $-0.5$ (por año), y $-\\alpha/\\beta$ es la\n",
    "tasa de crecimiento que mantiene estable el desempleo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1253909f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:28.058283Z",
     "iopub.status.busy": "2026-10-18T10:12:28.057920Z",
     "iopub.status.idle": "2026-10-18T10:12:28.082809Z",
     "shell.execute_reply": "2026-10-18T10:12:28.080888Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const          0.2271      0.042      5.467      0.000       0.146       0.309\n",
      "gdp_growth    -0.0671      0.009     -7.788      0.000      -0.084      -0.050\n",
      "==============================================================================\n",
      "\n",
      "R² = 0.47. Cada punto adicional de crecimiento anualizado reduce el desempleo en 0.067 puntos por trimestre (~0.27 al año).\n",
      "Crecimiento necesario solo para mantener estable el desempleo: 3.4% al año.\n"
     ]
    }
   ],
   "source": [
    "X = sm.add_constant(df[\"gdp_growth\"])\n",
    "okun = sm.OLS(df[\"d_unemp\"], X).fit(cov_type=\"HAC\", cov_kwds={\"maxlags\": 4})   # robusto a la autocorrelación\n",
    "print(okun.summary().tables[1])\n",
    "alpha, beta = okun.params\n",
    "print(f\"\\nR² = {okun.rsquared:.2f}. Cada punto adicional de crecimiento anualizado reduce el desempleo en \"\n",
    "      f\"{-beta:.3f} puntos por trimestre (~{-4 * beta:.2f} al año).\")\n",
    "print(f\"Crecimiento necesario solo para mantener estable el desempleo: {-alpha / beta:.1f}% al año.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "484f5ab1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:28.086730Z",
     "iopub.status.busy": "2026-10-18T10:12:28.086377Z",
     "iopub.status.idle": "2026-10-18T10:12:28.610912Z",
     "shell.execute_reply": "2026-10-18T10:12:28.609046Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cffXV9d4+UlX+4imrVaqnNSSe6tq3bw+VSoVTp07V2+bTp08DADp16uRIs1qt+Pjjj9GzZ88aF+lLqWsAprY+CQoKqvWeUU+Sy+XYtGkTbr75ZsyfPx+hoaGYOXMm7r//fgwfPhwdO3a8ZB1VF++LB508Ue/FsrKyMG7cONhsNmzevBldu3Z1Ol51e1NxcXGNshcuXIC/vz80Gk2D83q6HUREviQtLQ0TJkxA+/bt8dNPP8FgMEAI4VjjymKxXLIOV39YACqvyaGhoVCpVDWOtW/fHgUFBQAqr++hoaGOf4sbU1eV+v69rn6s6vaHf/zjH47PFzKZDDKZDDNnznScvzZWqxVjxozB1q1b8eGHH6KgoAB2ux1WqxVyudzRp1W3yDT0OlJ13vbt29c4VpV2cWx1fb4oLy+H1Wq95Hlc+TzWmP6q79yXamNsbCy+/fZbKJVKTJ06FcHBwRg6dCjeeeedS97aCtTe9+fOnYPFYoFWq3VqiyRJSE1NdcR27733YunSpfjmm28wePBghIaGYurUqZdca6OwsBCRkZE10sPCwqBQKC4Zc5Xqf3eFhYWOwczq2rVr5/h7cDdualk4EELkYVVfIB988EFYrVbYbDbYbDbY7XbHvbD33HOPI/+dd96JEydOYOPGjXj//fdRUVGBuXPnunSO8+fP1zhWPa2h8VxMrVZj1KhR2LNnT50XZ7vdjo0bNyI2NtZpPQmlUokff/wRxcXFuOqqq3D27FmncjqdDgBq/DJhNBpr/fIN1D87oanpdDq8+uqrOHPmDMxmM06cOIF58+bh119/rXctF0/Vm56e7rQV77p165zqycnJwdixY1FWVobNmzfXumhcv379AKDWtVwOHTrkON7QvA1pBxFRS7NmzRrI5XK8++676NWrF9RqNQDUWAOirutaSUmJY+0BV4SGhqKoqKjWAZbz588jPDwcABAREYGioiLHoqWNqauKUqmss67qx6rKfvbZZ47PF3a73enzxZVXXllrXXv27MHhw4exdOlSjBo1CkFBQZAkCdnZ2U6/vlctKnvmzJk646pNaGioo43VVaVdvPaZu58vGvJ5rDH9VZuGtLFqvY3i4mKkpKSgW7dumDdv3iXXWQFqf0+Eh4cjICAAJpPJqS1V7aiaSaNUKvHoo4/ixIkTyMrKwssvv4xDhw7hqquucvyIVpuwsDCndWKqFBYW1hiYquvvrqCgAGaz2SktNDQUBQUFtc7wuPjvwd24qWXhQAiRh4WHhyMhIQHr16+v8Q9wba677jpER0fj9ddfx1tvvYV27drhmmuuqbdMREQE4uLial0Y9euvv25UPNU9+uijsFgseOihh2o9/uKLLyI7OxuPPfZYjWNxcXHYuXMnKioqMGLECBw/ftxxLDo6GiqVCr/99ptTmW+++aZBv5x50+rVq6HX63H33XdfMu/69esBAMOHD/dovUDlLzPjxo1DcXExNm3ahEGDBtWab+jQoejQoQO+/PJLp/TffvvNcUuNO3k91Q4iIl9V/TY/IUSN2w9jY2Mhl8trXNc2bNhQo76AgAAAlYtCVjdu3DjY7fYa1/Mff/wRBQUFGDduHIDK2xKFEPjkk0/qjNvVutwxYsQIBAcHN2pnsKpBpSqrVq1yej58+HAEBwdjzZo1Dao3ISEBfn5+Na5hFosFGzZsQHx8PIKDg92Kufp5NBpNjde4qKioxm3Hnuiv6uduaBu1Wi0mTpyINWvWIDw8/JK7E9ZlypQpKC8vx7fffutymdjYWMyZMwcvvvgiDAYD0tPT68w7duxYGAyGGrduVX2Wuljnzp0hk8lq/TxZ3bhx42C1Wmsc++GHH3DhwoVa/x4aEje1MM21GAlRa+HKYqn79u0TQUFBIjExUezdu1eUl5eLnJwc8fXXX4sJEyaIc+fOOeVfsmSJACAAiAcffNClOL7++mshSZJYsGCByMnJETk5OWLhwoXiuuuuq7FYakPjqe6VV14RMplMzJo1S/z+++/CbDaLU6dOiYcffljIZDJxzz33OOW/eLFUIYQ4e/asiIuLE+3btxcHDhxwpP/zn/8UQUFBYtOmTaK0tFR8++23YubMmSI0NLTWxVJrW1TusssuE9dcc41T2uzZswUAcfLkSZf6Uoj6F0sVQoiFCxeK9evXiwsXLoiCggLx1ltvCX9/f/Hcc8855fvuu+/E7bffLtLS0sSFCxfE+fPnxXvvvSeCg4NF//79ayxY62q9dSksLBRxcXEiODi41oVNq1u7dq0AIJ5++mlRVlYm/vjjDxEfHy969eolysvL3c7b2HYQEfmqqoUU//3vf4vi4mJx/PhxcfPNN4sbbrhBABC7d+925J01a5YICQkRP/zwgygtLRXr168Xt912W43FUoUQomvXrmL8+PGiuLjYKd1kMonBgweL9u3bi9TUVFFaWiq2b98uunTpInr16iX0er0QonKB9ClTpoigoCCxYsUKcf78eXHu3Dnx0UcfiYcffrhBdVUtlvrqq6/WaH/VYqm1XVPXrFkjZDKZWLhwoTh8+LAwGAzi2LFj4oMPPnBaFLT6Qp8Gg0HExMSIwYMHiz/++EMUFRWJt99+W0ybNq3GAperVq0SkiSJO+64Q/zxxx9Cr9eLnTt3Ol37a1uM9emnnxaSJIn//ve/Ii8vT5w8eVLMmDFDKBQK8f333zvyDR8+XAwfPrxG2x555BEBQFgslhrHLvZ///d/Qi6Xi5deekkUFhaKw4cPiylTpoiJEyc6LZbakP6qjbtt/Pjjj8W8efPErl27xIULF0RJSYlYuXKlkCRJvPLKK/Wes66+sdls4rrrrhPh4eHi/fffF7m5uUKv14t9+/aJxYsXi2eeeUYIUbkI7EsvvSQOHTokKioqxKlTp8SMGTNEQECAOH36tBCi9sVSKyoqRFxcnOjSpYv48ccfRWlpqfjmm2/ETTfdVOvf0s033yzCwsLEtm3bRGlpqfjyyy/F3Llza7yXjEajGDRokIiKinJ89ty2bZuIjY0Vffr0EWVlZS7HTS0fB0KIGqhqIKSuR9U/uMeOHRNz5swR0dHRQqlUik6dOonrr7++xgrYQgiRm5srlEqlACAOHz7scixfffWVuPzyy4VKpRLdunUT77//vnj33XdrDIQ0NJ7a/Pzzz2LGjBkiKipKKJVKERYWJpKSksQ333xTI2/1gRAhKr+wDxs2TISEhDg+NJaUlIiZM2eKoKAgERQUJG699VZRUlJS564xrg6ETJs2Tfj5+dX4cFld1Yec2h7VV4A/dOiQuOGGG0RoaKgICgoSY8eOFd9++22NOs1ms1i1apUYNWqUCA0NFWq1WvTt21c8+uijjg+c7tRbl/fff7/e9+PSpUtrlPn8889FfHy8UKvVIiwsTNx6660iNze31vpdzdvYdhAR+bKVK1eKXr16CY1GI3r16iXee+898eWXX9YYCCkqKhI33XST0Gq1QqfTiX/84x+irKys1i9v33//veMaDsDpuldSUiLuvfdeERMTIxQKhYiKihL//Oc/RV5enlMdFotFLF++XPTt21eo1WrRsWNHMXv2bKcva67U5e5AiBBC/PTTT+Laa68V4eHhQq1Wix49eoi5c+c6/fBR25f4AwcOiHHjxgmtVivCw8PFP//5T1FWVlbjy6sQQmzZskWMHz9eaLVaERQUJK666irHTnV11S9E5TVy4MCBQq1Wi8DAQDFu3DixY8cOpzyNHQgRQojnn39edO7cWajVajFo0CCxbds2MW/evBoDIa72V23cbWNFRYV45513xPDhw4VOpxPBwcHiiiuuECtWrLhku+rqGyGEsFqt4pVXXhHx8fHC399fBAUFicGDB4vly5c7Pn+dPHlS3H///aJPnz5Co9GIqKgoccMNN4h9+/Y56qltIEQIIc6dOyduueUWodPpRFBQkLjppptEUVFRrX9LhYWF4sYbbxSBgYEiODhY3H777aK8vLzW91JxcbG4++67RXR0tFAoFKJDhw5i/vz5Tjs4uhI3tXySEC1kDjpRK1ZaWor27dsjPj4eO3bs8HY4LZoQAu3bt8ecOXOwfPlyb4dDREREREQ+hmuEEPmADRs2oKKiAnfccYe3Q2nxMjMzYTKZ8J///MfboRARERERkQ/ijBAiLzt//jwmTZoEvV6PQ4cO1brFHREREREREXkGZ4QQedGIESMQHR0NuVyO5ORkDoIQETWhn3/+GStWrMCpU6dcym+z2bB161Z89NFHde4U4EoeIiIi8i2cEUJERESt2tatW/Gvf/0LQgjs378fX375Ja6//vp6y+j1ekycOBFnz57F4MGDsW3bNlxzzTX48MMPIUmSy3mIiIjI9yi8HQARERFRUxJCYMWKFejZsye0Wq1LZZYuXYpz585h//79CAkJwcGDBzFw4EAkJSXh73//u8t5iIiIyPfw1hgiIiJq1caOHYtBgwY1qMwnn3yCmTNnIiQkBADQt29fjBs3Dp988kmD8hAREZHv4YwQF9jtdpw9exZarZZTXYmIiBpBCAG9Xo8OHTpAJvPN32NKSkqQk5ODvn37OqVfdtll+Pzzz13OUxuTyQSTyeR4brfbUVRUhLCwMH7GICIiaoSGfMbgQIgLzp49i5iYGG+HQURE1GpkZ2cjOjra22HUqrS0FAAcMz2qhIaGOo65kqc2y5Ytw5NPPunJcImIiOgirnzG4ECIC6ruJ87OzkZQUJCXoyEiImq5SktLERMT4/JaHd7g5+cHoHIx1Ivp9XrHMVfy1Gbx4sW4//77Hc9LSkrQqVOnRn/GeHHzEXywKws2e8018OUyCXOu7Iz7JvR0u34iIiJf15DPGBwIcUHVVNWgoCAOhBAREXmAL98GEh4ejuDgYGRlZTmlnzx5Et27d3c5T23UajXUanWN9MZ+xpg1qg8+TD8PWS17AUoSMHtUHwQFBbhdPxERUUvhymcM37w5l4iIiKgZ7dmzx2mR08mTJ+Ozzz6DzWYDABQXFyMlJQVTpkxpUJ7m0iU8AMunXQ7ZRZ/95JIEmQQsn3Y5OodzEISIiKiKJISo5bcDulhpaSl0Oh1KSko4I4SIiKgRvHFNPXXqFDZv3gyTyYS77roLd955JwYMGIC4uDgMGzYMAPDAAw9g7dq1yMnJAVA5s2Po0KEYPHgwxowZg08++QR2ux27du2Cv7+/y3kuxdP9cSi3BEkv7wQA3D6yC2YOjeUgCBERtQkNuaZyRggRERG1asXFxUhLS8Mvv/yCuXPnwmg0Ii0tDadOnXLkGTp0KG6++WbH8y5duuDAgQMYMWIEsrKycNttt9UY4HAlT3OLDftr0OP+CT05CEJERFQLzghxAWeEEBEReQavqc483R8GsxV9H98IADi4ZBL8VVwOjoiI2gbOCCEiIiIiIiIiqgUHQoiIiIiIiIiozeBACBERERERERG1GbxxlJpNdpEB+WUmRASqERPqvYXkiIiIiIiIqO3iQAg1i5TMXCRn5EBvtEKrUWB6fDSS+kV5OywiIiIiIiJqY3hrDDW57CIDkjNyYBcCXcIDYBcCyRk5yC4yeDs0IiIiIiIiamM4EEJNLr/MBL3RikitBnKZhEitBmVGK/LLTN4OjYiIiIiIiNoYDoRQk4sIVEOrUSBPb4TNLpCnNyJQo0BEoNrboREREREREVEbw4EQanIxof6YHh8NmSQhq6AcMknCjMHRXDCViIiIiIiImh0XS6VmkdQvCnEdddw1hoiIiIiIiLyKAyHUbGJC/TkAQkRERERERF7VIgdCysvLkZubi44dO8LPz6/evPn5+SgpKXFKU6vViImJacoQiYiIiIiIiMgHtaiBkCNHjuCVV17Bp59+ioKCAmzduhWjR4+ut8xjjz2G1atXo3379o60nj174rvvvmviaImIiIiIiIjI17SogZDU1FT06tUL27ZtQ1xcnMvlEhMTsW7duiaMjIiIiIiIiIhaghY1EHLPPfcAAHJychpc9uzZs9DpdAgICPB0WERERERERETUQrSJ7XM///xzDBgwAKGhoRg0aBDS0tK8HRIREREREREReUGrHwhJSEjAwYMHkZeXh+LiYgwcOBBJSUk4c+ZMnWVMJhNKS0udHkRERERERETU8rX6gZDZs2ejT58+AAB/f3+88cYbsFqt+OKLL+oss2zZMuh0OseDO8wQERERERERtQ6tfiCkOrVajfbt2+PUqVN15lm8eDFKSkocj+zs7GaMkIiIiIiIiIiaSotaLNUV+fn5MBqNiImJgRACdrsdcrnccTwnJwdZWVno3r17nXWo1Wqo1ermCJeIiIiIiIiImlGLmhGi1+tx7NgxZGVlAQDOnDmDY8eOoaioyJFn8eLFSEpKAgBYLBYMHToUa9aswa+//ooNGzbgmmuuQZcuXTBz5kxvNIGIiIiIiIiIvKhFDYRs3rwZiYmJmDNnDrp164YnnngCiYmJWL16tSNPZGQkOnXqBABQqVRYtWoVtmzZgjlz5uDFF1/E9ddfj4yMDAQGBnqrGURERERERETkJZIQQng7CF9XWloKnU6HkpISBAUFeTscIiKiFovXVGee7g+D2Yq+j28EABxcMgn+qlZ3FzQREVGtGnJNbVEzQoiIiIiIiIiIGoMDIURERNTqpaSkYNy4cejVqxeuv/56HDhwoN78CQkJ6Ny5c43HPffc48izfPnyGscTEhKauilERETUSJwvSURERK3a1q1bce211+Kpp57ChAkT8Oabb2LUqFE4cOAAYmJiai2TnJwMq9XqeH706FFMnDgRQ4cOdaQVFxcjOjraaa0yhYIfrYiIiHwdr9ZERETUqv33v//FlClT8OCDDwIA3n77bWzatAkvv/wynnvuuVrLREdHOz1/6623EBoaimnTpjmlazQadO7cuUniJiIioqbBW2OIiIio1bJardi5cycmTZrkSJMkCZMmTcK2bdtcruPDDz/ErbfeCo1G43Tsl19+wWWXXYahQ4di0aJFKCgo8GT4RERE1AQ4I4SIiIharfz8fJjNZrRv394pvX379jhz5oxLdXz77bc4d+4cbr/9dqf0oKAgLF68GOPHj0dBQQEef/xxDBkyBAcOHIBWq621LpPJBJPJ5HheWlrawBYRERFRY3EghIiIiFotu90OoObaHUqlEjabzaU63nvvPSQkJCAuLs4p/aGHHoJM9tfk2kGDBiE2NhYrV67EvffeW2tdy5Ytw5NPPtmQJhAREZGH8dYYIiIiarVCQ0Mhk8lQWFjolF5QUICIiIhLls/NzUVKSgruuOOOGscuHgSpOlfv3r1x8ODBOutbvHgxSkpKHI/s7GwXW0JERESewoEQIiIiarX8/PwQFxeHXbt2OaXv3LkTQ4YMuWT5Dz/8EP7+/pgxY8Yl81qtVmRnZyM0NLTOPGq1GkFBQU4PIiIial4cCCEiIqJWbeHChVizZg327NkDAPj444/xyy+/YP78+Y48Tz/9NBISEmqUXblyJW6++WYEBATUOHbvvfc61hmpqKjAokWLUFxcjFtuuaWJWkJERESewDVCiIiIqFWbN28esrKyMHr0aCiVSigUCqxYsQLDhg1z5CkqKqpxm8qPP/6Io0ePYu3atbXWO3DgQFx11VUoKSlBWVkZ4uLisGnTphpriRAREZFvkYQQwttB+LrS0lLodDqUlJRwCisREVEjePOaajKZUFRUhIiIiBqLpxYXF6O8vBzR0dFOsRYXFyM2NrbeeouKihAQEAC1Wt3gmDzdHwazFX0f3wgAOLhkEvxV/M2LiIjahoZcU3l1JCIiojZBrVYjKiqq1mMhISEICQlxSnN1DY/61gQhIiIi38M1QoiIiIiIiIiozeBACBERERERERG1GRwIISIiIiIiIqI2gwMhRERERERERNRmcCCEiIiIiIiIiNoMDoQQERERERERUZvBgRAiIiIiIiIiajM4EEJEREREREREbQYHQoiIiIiIiIiozVB4OwBqPtlFBuSXmRARqEZMqL+3wyEiIiIiIiJqdhwIaSNSMnORnJEDvdEKrUaB6fHRSOoX5e2wiIiIiIiIiJoVb41pA7KLDEjOyIFdCHQJD4BdCCRn5CC7yODt0IiIiIiIiIiaFQdC2oD8MhP0RisitRrIZRIitRqUGa3ILzN5OzQiIiIiIiKiZsWBkDYgIlANrUaBPL0RNrtAnt6IQI0CEYFqb4dGRERERERE1Kw4ENIGxIT6Y3p8NGSShKyCcsgkCTMGR3PBVCIiIiIiImpzuFhqG5HULwpxHXXcNYaIiIiIiIjaNA6EtCExof4cACEiIiIiIqI2jbfGEBEREREREVGbwYEQIiIiIiIiImozGnVrzLFjx3Do0CEIIdC3b190797dU3ERtWnZRQau50JERERERNQE3BoIKSkpwT/+8Q988cUXkMkqJ5XY7XZMnToVK1euhE6n82iQRG1JSmYukjNyoDdaodUoMD0+Gkn9orwdFhERERERUavg1q0xixYtwvHjx7Fjxw4YjUYYjUbs2LEDx44dw3333efpGInajOwiA5IzcmAXAl3CA2AXAskZOcguMng7NCIiIiIiolbBrRkh69evx08//YQ+ffo40kaMGIG1a9dixIgRHguOqK3JLzNBb7SiS3gA5DIJkVoNsgrKkV9m4i0yREREREREHuDWQEhFRQXCw8NrpIeFhcFg4C/XRO6KCFRDq1EgT29EpFaDPL0RgRoFIgLV3g6NiKhFE0IgPT0dOTk56NOnD3r37l1v/gMHDuDgwYNOaf7+/rj22msbVS8RERF5n1u3xiQkJODRRx+F2Wx2pJlMJjzyyCNISEjwWHBEbU1MqD+mx0dDJknIKiiHTJIwY3A0Z4MQETWCwWDA+PHjMWXKFLz11lu44oorsHDhwnrLrFmzBosWLcJXX33leGzcuLHR9RIREZH3uTUj5MUXX8SkSZPw1VdfoX///gCA/fv3QyaT1fiQQEQNk9QvCnEdddw1hojIQ55++mkcOXIEmZmZiIiIwC+//IIrrrgC48aNw7Rp0+osFxcXh7Vr13q8XiIiIvIut2aE9O/fH0ePHsVjjz2Gbt26oXv37nj88cdx9OhRx8AIEbkvJtQfgzqFcBCEiMgDVq9ejVtvvRUREREAgIEDB2Ls2LFYvXp1veX0ej02bNiArVu3orCw0GP1EhERkXe5NSMEALRaLe666y5PxuISq9WKb775BocPH8bNN9+MTp06XbJMWVkZNmzYgPPnz6Nfv34YN25cM0RKRERE3qbX63Hq1CnExcU5pffr1w9fffVVvWWPHDmC119/HQUFBTh06BCWL1/u+Ozjbr0mkwkmk8nxvLS0tGENIiIiokZza0YIAJSXl2P9+vV48cUXHWlHjhyBEMIjgdXms88+Q7du3fDKK69g8eLFOHHixCXLnDlzBpdffjmee+45/P7777jllltw0003NWmcRERE5BtKSkoAAKGhoU7pYWFhuHDhQp3lrrnmGmRnZyM1NRXp6el47bXXcM8992DXrl2NqnfZsmXQ6XSOR0xMjButIiIiosZwayDkyJEjuOyyyzBv3jzcf//9jvSlS5fi008/9Vhw1UVFReGnn37CqlWrXC7z0EMPISQkBLt378a7776LH374AevWrcOXX37ZZHG6IrvIgH2ni5FdxF12Wiu+xkRE3qdWV+66VVZW5pReVlYGjUZTZ7mRI0ciMDDQ8fy2225D165d8c033zSq3sWLF6OkpMTxyM7ObliDiIiIqNHcujVm0aJFmDFjBpYvXw6Z7K+xlHvvvRfz58/HTTfd5LEALzZy5EgAQE5Ojkv5bTYbvvzySzz99NNQqVQAgL59+2LEiBFITk7G1KlTmyTOS0nJzEVyRg70Riu0GgWmx0cjqV+UV2KhpsHXmIjIN4SHhyMoKAinT592Sj916hS6du3aoLq0Wi3y8/MbVa9arXYMohAREZF3uDUjZPfu3Xj44YchSZJTeu/evZGZmemRwDzh9OnTKC8vR69evZzSe/XqhUOHDtVZzmQyobS01OnhKdlFBiRn5MAuBLqEB8AuBJIzcjhroBXha0xE5DskSUJSUhLWrVvnuC1Wr9cjJSUF11xzjSPf/v378fXXXzue5+bmOtXzxx9/4Pfff8eQIUMaVC8RERH5HrcGQux2O8xmMwA4DYZkZWVBp9N5JjIPqJquWj2m4ODgGlNZL9aU9+/ml5mgN1oRqdVALpMQqdWgzGhFfpnp0oWpReBrTETkW5YsWYJDhw5h+vTpePPNNzFp0iRERkZi4cKFjjyrV692ep6UlIS7774bK1aswH//+1+MGjUKw4cPx+zZsxtULxEREfketwZCJkyYgOeeew7AXwMhBQUFuOeee5CYmOi56BopICAAQM0V2UtKShzHatOU9+9GBKqh1SiQpzfCZhfI0xsRqFEgIpDTZFsLvsZERL6lZ8+e2L9/P3r27Im0tDRMmTIFaWlp0Gq1jjwDBw7Edddd53ielpaGyy+/HHv27EFxcTFee+01/PDDD063tbhSLxEREfkeSbixfcqpU6cwevRoaDQa/PHHHxg1ahTS09MRERGBnTt3okOHDk0Rq0NOTg5iYmKwdetWjB49us58VqsVWq0Wzz//vNOvM+PHj0dISAiSk5NdOl9paSl0Oh1KSkoQFBTU2PAd60eUGa0I1CgwY3A0EuO4fkRrwteYiKh2nr6mtnSe7g+D2Yq+j28EABxcMgn+KreWgyMiImpxGnJNdevqGBsbiwMHDmD16tVIT0+H3W7H1KlTMXv2bK9/qElJScHZs2cxd+5cKBQKTJ48GatXr8a8efMgl8tx4sQJbN++vUE7z3haUr8oxHXUIb/MhIhANWJC/b0WCzUNvsZERERERES+ye2fCbRaLRYsWODJWC4pMzMT3377reNWlzVr1iAtLQ0jRozAiBEjAACff/450tLSMHfuXADA//73P1x55ZUYN24crrjiCnz22WeYMGECbrzxxmaNvbqYUH9+OW7l+BoTERERERH5HpcHQg4fPuxypb1793YrmEsxm824cOECAOA///kPAODChQswGo2OPFdffTXi4uIcz7t06YLffvsNn376Kc6fP4/nnnsOU6dOddr2l4iIiIiIiIjaBpcHQvr06eNypW4sO+KS+Ph4xMfH15tn6tSpNdLCwsK4gjsRERERERERuT4Q4smdU4iIiIiIiIiIvMHlgZDo6OimjINaqOwiAxcEJSIiIiIiohbD7cVS8/PzsWLFChw6dAgA0LdvX9x+++0IDw/3WHDk26q2iNUbrdBqFJgeH42kftwiloiIiIiIiHyXWyuGbtu2DV27dsW7776LiooKVFRU4J133kHXrl3x448/ejpG8kHZRQYkZ+TALgS6hAfALgSSM3KQXWTwdmhEREREREREdXJrRsjdd9+NhQsXYtmyZY7dV+x2OxYvXoy77roLBw4c8GiQ5Hvyy0zQG63oEh4AuUxCpFaDrIJy5JeZeIsMERERERER+Sy3ZoQcP34cDz30kNMWtDKZDP/5z39w7NgxjwVHvisiUA2tRoE8vRE2u0Ce3ohAjQIRgWpvh0ZERERERERUJ7cGQnr27FnrgMfx48fRs2fPRgdFvi8m1B/T46MhkyRkFZRDJkmYMTias0GIiIiIiIjIp7l1a8z8+fMxffp0LFmyBEOGDIEQAunp6Xj88cexePFi5OTkOPJyt5nWK6lfFOI66rhrDBEREREREbUYbg2ELFiwAAAwe/bsGsfmz5/v9FwI4c4pqIWICfXnAAgRERERERG1GG4NhFRtmUtERERERERE1JK4NRDSu3dvT8dBRERERERERNTk3BoIuZjRaKyRptFoGlsttSLZRQauI+JF7H8iIiIiIqK/uDUQcvToUSxcuBA//fQTKioqahznuiBUJSUzF8kZOdAbrdBqFJgeH42kflHeDqvNYP8TERERERE5c2sgZPbs2QgLC8Nnn32G4OBgD4dErUV2kQHJGTmwC4Eu4QHI0xuRnJGDuI46zkxoBux/IiIiIiKimtwaCPnll1+Qm5vLQZBGMK5dC3nv3lBcfjkkmczb4TSJ/DIT9EYruoQHQC6TEKnVIKugHPllJn4RbwbsfyIi8paTBeX4LD0bOcUViA7xw4zBMegSHuDtsIiIiAC4ORASGxuLgoICDoS4yX7+PIwrVwJCQBYVBdWkSVBNnAhZRIS3Q/OoiEA1tBoF8vRGRGo1yNMbEahRICJQ7e3Q2gT2PxERecNn6dl46PMDkCQJQghIkoS3tx/H8mmXY/rgGG+HR0REBLemIjz55JO47bbbkJaWhvz8fBQUFDg96NJUV18N+PvDnpsL4wcfoHTmTJQ9/DDMO3ZAWCzeDs8jYkL9MT0+GjJJQlZBOWSShBmDozkboZmw/4mIqLmdLCjHQ58fgF0ANrtw+u9/Pj+ArIJyb4dIRETk3oyQdu3aITMzEwkJCbUe52Kp9ZO1awf/RYvgN28eLDt3wpSSAltmJqx798K6dy8knQ6q8eOhSkyEvHNnb4fbKEn9ohDXUcddS7yE/U9ERM3ps/RsSJIE1PJZUJIkfJqejf8k9vZCZERERH9xayBkwYIFmDhxIhYuXMjbYxpB8vODasIEqCZMgC0nB+aNG2HetAmiqAimzz+H6fPPIe/dG6rERKhGj4YU0DLvrY0J9ecXcC9i/xMRUXPJKa6o8wcxIQRyimvuNkhERNTc3BoIOXXqFNLS0qDT6TwdT5slj46G39y50MyZA+vevTCnpsKSlgbb4cOoOHwYFW+9BeXIkVAnJkLer1/lry1EREREPiQ6xK/eGSHRIX5eiIqIiMiZWwMh3bt3R25uLgdCmoAkl0M5bBiUw4bBXlwM85YtMKekwJ6dDcvmzbBs3gxZx46Vs0TGj4csPNzbIRMREfm87du344UXXkBOTg769OmDxx9/HD179qwzf15eHl5//XXs2LEDQggMGzYMDzzwAMLCwhx5XnrpJaxYscKpXPv27bFly5Yma4evmzE4Bm9vP17rMSEEbuRiqURE5APcWix19uzZmDlzJrZu3Yrs7Gzk5OQ4PcgzZCEh0EyfDu177yHwpZegSkwENBrYz5yB8b33UHrLLSh77DGYd+6EsFq9Ha6T7CID9p0uRnaRwduhkAd563Xl+4mIGuOnn37ChAkT0L9/f7z00ksAgOHDhyM3N7fOMmPGjIFCocBjjz2GRx55BD/++CNGjhyJ8vK/Fvs8d+4ctFot1q5d63i8/vrrTd0cn9YlPADLp10O2UUTV+WSBJkELJ92OTpzC10iIvIBknBjZdNL3ZbR2hZLLS0thU6nQ0lJCYKCgrwai6iogHn7dphTU2H7/XdHuhQcXLneSGIi5J06eTFCICUzF8kZOdAbrdBqFJgeH42kflFejYkaz1uvK99PRK2LN66pkyZNgkqlwoYNGwAANpsNnTt3xi233IJnnnmm1jImkwlq9V/bjZ89exYdO3bEhg0bMHnyZADAQw89hPT09EbNAPF0fxjMVvR9fCMA4OCSSfBXuTX5t9EO5ZYg6eWdAIDbR3bBzKGxHAQhIqIm1ZBrqltXx0OHDrkVGDWe5OcHdWIi1ImJsJ0+XbnA6ubNEMXFMCUnw5ScDHnfvn8tsOrXvPfiZhcZkJyRA7sQ6BIegDy9EckZOYjrqOOCnS2Yt15Xvp+IqLFsNht+/PFHvPDCC440uVyOxMREbN26tc5yFw+CAIBSqQQA2O12p/QDBw5g6NChCAwMREJCAh588EGv/2jiC2LD/hr0uH9CT68NyBAREdXGratS797c9swXyDt1gt8dd0Bz222w7tkDU0oKrHv2wHbwICoOHkTFG29ANXp05SyRvn2bZYHV/DIT9EYruoQHQC6TEKnVIKugHPllJn5xbcG89bry/UREjVVQUACj0YioKOeZZFFRUfj2229drueJJ55AeHg4Ro0a5Ujz9/fHwoULMX78eBQUFGDJkiVYt24d9u3bB3//2v+NMplMMJlMjuelpaUNbBERERE1ltvD8+Xl5diyZQtOnDiB++67DwBw5MgR9OjRgzuaNDNJoYDyyiuhvPJK2AsLYd68GebUVNjPnIE5NRXm1FTIYmIqZ4lMmABZSEiTxRIRqIZWo0Ce3ohIrQZ5eiMCNQpEBKovXZh8lrdeV76fiKixrH+uoaVSqZzS1Wo1LBaLS3W8+eabWLFiBb7++munheIffvhhKBR/fZS68sor0bVrV6xcuRJ33XVXrXUtW7YMTz75ZEObQURERB7k1mKpR44cwWWXXYZ58+bh/vvvd6QvXboUn376qceCo4aThYVBc9NN0L7/PgJfeAHKCRMqF1jNzobx3XdR+ve/o/z//g+WtDQIm83j548J9cf0+GjIJAlZBeWQSRJmDI7mr/ctnLdeV76fiKixQkJCIEkSCgsLndILCwsR7sLOaytXrsSiRYuwZs0aJCYmOh27eBAEACIjI9G7d2/89ttvdda3ePFilJSUOB7Z2dkNaA0RERF5glszQhYtWoQZM2Zg+fLlkMn+Gku59957MX/+fNx0000eC5DcI0kSFP36QdGvH8Sdd1YusJqSAtvhw7D89BMsP/0EKTQUqokToZo0CfLoaI+dO6lfFOI66pBfZkJEoJpfWlsJb72ufD8RUWP4+/ujT58++Pnnn3Hrrbc60nft2oX4+Ph6y77//vtYsGABVq9ejRtuuOGS57Lb7Th79my9a4So1eoa648QERFR83JrRsju3bvx8MMP17gFpnfv3sjMzPRIYOQ5UkAA1FdfDe2rr0L77rtQT5sGSaeDKCqCae1a6G+7Dfr774d50yaIigqPnDMm1B+DOoXwS2sr463Xle8nImqMefPm4eOPP3bM1Fi/fj327NmDf/7zn448zz//PMaPH+94vmrVKsyfPx+rV6/G9OnTa6334YcfxoULFwBU3oKzePFi5Ofn4+9//3vTNYaIiIgaza0ZIXa7HWazGYDzVrpZWVlO986S75F37gy/+fOhmTsXlrQ0mFNTYU1Phy0zE4bMTOD11/9aYLV3b673QkRELd5dd92Fo0ePIj4+HuHh4SgpKcGrr76Kq666ypEnNzcXhw8fBlC508xtt90Gf39/PPnkk05rejzwwAOYM2cOAKBDhw7o27cvVCoVCgsLHdvrDhw4sFnbR0RERA0jCSFEQwvdcMMN6Nq1K/73v/9BLpfDZrOhoKAAM2bMQHR0NFatWtUUsXpNQ/Yjbons+fmVC6xu3Aj72bOOdFnnzpULrI4bB1lwsPcCJCKiVsOb19TS0lKcP38e0dHR8Ku2vfy5c+dQUlKCXr16AUCd63xERUUhLCzMKe306dMICgpCsBvXSk/3h8FsRd/HNwIADi6Z5LVta30lDiIiajsack1166r0/PPPY/To0diwYQOEEBgzZgzS09MRERGB1atXuxU0eY8sIgKam2+G+qabYM3MhDklBZYdO2DPyoLxrbdgXLECyoQEqCZNgmLwYEhyubdDJiIiarCgoKA6Pxi1b98e7du3dzyPi4tzud5OnTo1OjZqGicLyvFZejZyiisQHeKHGYNj0CU8wNthERGRl7k1EBIbG4sDBw5g9erVSE9Ph91ux9SpUzF79uxWOWOiNckuMtS56KQkk0HZvz+U/fvDftddsGzdCnNqKmxHjsCyYwcsO3ZACg+vXGA1MRHyqCivxNkazueqpo6rudrtq/1LRESt12fp2Xjo8wOQJAlCCEiShLe3H8fyaZdj+uAYb4dHRERe5PY8Ra1WiwULFjieZ2Vl1dhGjnxLSmYukjNyoDdaodUoMD0+Gkn9ah/MkAUGQj1lCtRTpsB24gRMKSmwfP89REEBTGvWwLRmDRT9+0OVmAjlyJGQPLgCfkPibInn85W4mqvdvtq/RETUep0sKMdDnx+AXQCougv8z//+5/MDGNI5FJ05M4SIqM1ya9eYjIwM3H333Y7nM2fORJcuXdC+fXvs2rXLY8GR52QXGZCckQO7EOgSHgC7EEjOyEF2keGSZeVdu8L/zjsRtHYt/B99FIr4eECSYP31VxiWL0fJjTfC8MorsB45AjeWnPFYnC3hfL4SV3O121f7l4iIWrfP0rPrXPBdkiR8mp7dzBEREZEvcWsg5IEHHsCNN94IoHIxsQ0bNiAtLQ3//ve/sXjxYo8GSJ6RX2aC3mhFpFYDuUxCpFaDMqMV+WUml+uQVCqoRo1C4DPPIGj1amhmzYKsfXugvBzmDRtQdued0M+fD9OXX8JeWuq1OH35fL4SV3O121f7l4iIWrec4oo6f5wRQiCnuKKZIyIiIl/i1kBIeno64uPjAQCbNm3C3/72NwwdOhT33Xcf9u/f78n4yEMiAtXQahTI0xthswvk6Y0I1CgQEejeLS2yyEhobr0V2g8/RMDy5VCOGQMolbCfOIGKN95A6U03ofy//4UlPR3CbvdanL52Pl+Jq7na7av9S0RErVt0iF+9M0KiQ/xqPUZERG2DWwMhgYGByMrKAgB88803GDt2LACgpKQEgYGBHguOPCcm1B/T46MhkyRkFZRDJkmYMTi60QtXSjIZlIMGIeDhhxG0di387roL8u7dAYsFlu3bUb54MUpvvRUVH34I27lzXovTV87nK3E1V7t9tX+JiKh1mzE4pt4ZITdysVQiojbNrdVNb7jhBlxzzTWIi4vD/v37MWXKFADAxo0bkZSU5NEAyXOS+kUhrqOuyXbvkAUFQX3ddVBfdx2sx45VbsP7ww8QeXkwrV4N08cfQzFwIFSTJkE5YgQklcorcXr7fK5q6riaq92+2r9ERNR6dQkPwPJpl+M/VQumApBLEgQElk+7vNaFUoUQsIvK/1atsSognNZarXouLsqPWtIvLg9H+p/PfUQjl3VrEheHVH0gq754Lz5WvY+dj1Uv54Od4EOaqneattubrvK64q4tue68dQ3QNr6OliZIo/Tq9wK3BkJeeOEFdO/eHadOncKTTz6JkJAQAMDhw4fxxBNPeDRA8qyYUP9mecMpuneH4u67If75T1h++gnm1FRYf/kF1n37YN23D5JWC+XYsVAlJkLRvbvX4vTW+VzV1HE1V7t9tX+JiMi7qgYT7ELAZq8cTLAL8efD+bhdVB632f/6f/tFx6vX1ScqCC/dOAD3rN0PALj68vaYdFk7tA/yw96sosqBiYsGLYiIqPko5W7dnOIxbg2EKJVK3HvvvTXS//e//zU6oEvZsmULXn31VZw/fx79+vXD448/jpiYuqc3PvXUU0hOTnZK6969O9atW9fUoRIASa2GauxYqMaOhS03F+ZNm2DeuBEiPx/m9ethXr8e8u7dK7fhHTsWMq3W2yETERERgHKTFTYhIOx1D07UNXhhMNsc9Rw8WwqlXFZr+aYegNBqlI7/nzowGhqlHBYbRz2IiNo6twZCAKC8vBxbtmzBiRMncN999wEAjhw5gh49etS5OFVjbd68GVdffTWeeOIJJCQk4OWXX8bw4cORmZkJnU5Xa5ns7GxERETg2WefdaT5+XGBLG+QR0XBb/ZsaGbOhHXfPpg3boRl1y7Yjh1DxWuvoeKdd6AcMQKqSZOgGDAAksy7o4RERERt2cHcUljdHDQwWv4aCNEbrdAo5Z4Ki4iIqNHcGgg5cuQIJk6cCKPRiPPnzzsGQpYuXYprrrkGN910k0eDrPL444/jxhtvxKOPPgoAGD58OKKiovD222/jwQcfrLOcTqfDgAEDmiQmajhJLodyyBAohwyBvbQUlu+/hyk1FfYTJ2D54QdYfvgBsvbtoZo0CaqJEyGLjPR2yHXKLjLUufZFfcdaMk+0q7X2DRERERER+T63BkIWLVqEGTNmYPny5ZBd9Kv9vffei/nz5zfJQEhZWRl+/vln3H333Y40jUaDcePG4fvvv693ICQtLQ1XXnkldDodRo4cifvuu4+zQnyELCgI6r/9Darrr4ft6FGYU1Nh/uEH2M+dg/HDD2FctQqK+PjKW2cSEupcYNUbUjJzkZyRA73RCq1Ggenx0UjqF3XJYy2ZJ9rVWvuGiIiIiIhaBrcGQnbv3o01a9bUuAWmd+/eyMzM9Ehg1Z05cwZCCERFOX9h6tChA7Zs2VJnOa1Wi3nz5mHUqFE4c+YMnnzySXz11VfYtWsXFIram28ymWAymRzPS0tLPdMIqpMkSVD07AlFz57w++c/Ydm5s3KB1V9/hTU9Hdb0dEhBQVCOGwd1YiLkXbt6Nd7sIgOSM3JgFwJdwgOQpzciOSMHcR0rb9Gq61hLnv1QX5tdbZcn6iAiIiIiImoMtwZC7HY7zGYzADgNhmRlZdW5VkdjWSwWAIBarXZKV6vVjmO1efrpp6FU/rVQ1rBhw9CjRw98+umnuOWWW2ots2zZMjz55JMeiJrcIWk0UI0fD9X48bCdPQvzxo0wb9oEUVAA85dfwvzll5D37AlVYiJUY8dCCqi5BV5Tyy8zQW+0okt4AOQyCZFaDbIKypFfVjmAVtexlvxlv742u9ouT9RBRERERETUGG6tRjlhwgQ899xzAP4aCCkoKMA999yDxMREz0V3kbCwMABAYWGhU3phYaHjWG0uHgQBgC5duqBz5871zlxZvHgxSkpKHI/s7OxGRE6NIe/QAX633Yag1asR8N//QjliBKBQwHbkCCpeeQUlN96I8uXLYfn112bdCz4iUA2tRoE8vRE2u0Ce3ohAjQIRgep6j7VknmhXa+0bIiIiIiJqOdwaCHn++eeRnJyMPn36QAiBMWPGoEuXLsjKysIzzzzj6RgBAFFRUejQoQP27NnjlJ6Wlob4+HiX67FYLMjLy4O2nm1a1Wo1goKCnB7kXZJcDuXQoQh44gkEffIJNPPmQRYbC5hMsGzZgvIHHoB+zhwY16yBvaCgyeOJCfXH9PhoyCQJWQXlkEkSZgyORkyof73HWjJPtKu19g0REREREbUcbt0aExsbiwMHDmD16tVIT0+H3W7H1KlTMXv27CYdNLjjjjvw9ttvY+7cuejcuTPWrFmDw4cPY/Xq1Y48S5YswYEDB7Bu3TqYzWYsW7YM//73v+Hv7w+z2Yz7778fJpMJ06dPb7I4qWnJgoOhueEGqKdNg+3w4coFVrdtg/3sWRjffx/GDz+EYvDgygVWhw2DVG1WkKck9YtCXEddrbuf1HesJfNEu1pr3xARERERUcvg1kAIULkI6YIFCzwZyyU98sgjOHHiBHr16oV27drhwoULePfddzFo0CBHntOnT+Pw4cMAKm+LUSgUiI2NRXBwMM6fP4+YmBikpKSgZ8+ezRo7eZ4kSVD06QNFnz7wmz8flh07YEpNhS0zE9Y9e2DdswdScDBU48ZBlZQEeWysx2OomgHS0GMtmSfa1Vr7hoiIiIiIfJ/LAyH79+93udIBAwa4EcqlKZVKrFq1Ci+88ALy8/PRuXPnGtvgPvHEEzAYDAAqvyg/8sgjWLx4MU6ePImQkBCEhoY2SWzkXZKfH1QTJ0I1cSJsOTl/LbBaVATT55/D9PnnkPfpU7nA6qhRXllglYiIiIiIiLzP5YGQgQMHulxpUy9aGR4ejvDw8FqPxcTE1EiTyWTo1q1bk8ZEvkMeHQ2/uXOhmTMH1j17YEpNhTUtDbZDh1Bx6BAq3nwTqquugioxEfK4uBrbQBMRERERtUW5JRXY9ke+4xbm0b0iEKXzu3RBohbG5YGQ4uJix/+vW7cOzzzzDJ555hkMGTIEALB371489NBDWLx4seejJAKQXWS45LoS1fMoExKgTEiAvagI5i1bYE5NhT07G+ZNm2DetAmy6GioJk2CasIEyOrZfai52+NKWxtSX2PzuxOPOxpznuaKkYiIiKg12vZHHt7ZcQISAAFAArDhwFnMu6orRvWM9HJ0RJ7l8kBIcHCw4/9ffvllrFu3zukWmNjYWHTv3h2zZs3C3LlzPRkjEVIyc5GckQO90QqtRoHp8dFI6hflch5ZaCg0M2ZAPX06bAcP/rXAak4OjO+9B+P770NxxRVQJyVBccUVkBRuL5/T6Pa40taG1NfY/O7E447GnKe5YiQiIiJqjXJLKvDOjhMQonIQBPjrv2//eAK92gWhvU7jrfCIPM6t7XOPHTtW6y0oMTExOHbsWKODIrpYdpEByRk5sAuBLuEBsAuB5IwcZBcZGpQH+HOB1csug/+//gXdp5/C7/77Ie/bF7DbYU1LQ/kTT6D05ptR8e67sGVnN3t7XG1HQ/vH3fzuxOOOxpynuWIkIiIiaq22/ZGPum4WlwBs/SOvOcMhanJuDYT07t0bS5YsgdVqdaRZrVYsWbIEvXv39lhwRACQX2aC3mhFpFYDuUxCpFaDMqMV+WWmBuWpTvL3hzopCdqXX4Z2xQqop0+HFBwMUVwM02efQf+Pf0C/aBFMqakQFRXN0h532tHQMg3J70487mjMeZorRiJq+TIzM5GSkoKTJ096tIw79RIR+ZL8MhPqWuVR/HmcqDVxa/7/G2+8gcmTJztujxFCYP/+/TCbzfj22289HSO1cRGBamg1CuTpjYjUapCnNyJQo0BEoLpBeeojj42F3z//Cc0//gHLzz/DnJoK6549sP3+Oyp+/x0Vb7wB1ahRldvw9unTqAVWLxVrQ9vR0LY3JH9j+9VVjTlPc8VIRC2X0WjE1KlT8fPPPyMuLg7p6emYN28eXnjhhUaVcadeIvItvrI4qLfjiAhUO9YGqU768zhRa+LWQEhCQgJOnDiBVatW4eDBgwCApKQkzJ49G0FBQR4NkCgm1B/T46ORnJGDrIJyBGoUmDE42mlBTFfyuEJSKKAaPhyq4cNhLyj4a4HVM2cq1xVJTYWsU6fKbXjHj4csJMTj7WloOxra9obk91S/XkpjztNcMRJRy7Vs2TL8+uuv+P3339G+fXvs3bsXV155JUaNGoXrrrvO7TLu1Ettk7e/5FLtfGVxUF+IY3SvCGw4cLbWYwLAmF5cLJVaF0k09V63rUBpaSl0Oh1KSko40ONF7uwa4wlCCNgyM2FKTYVlxw7AaKw8IJdDOWwYVImJUAwZAkkub1C93DXGs+fhrjFELYM3rqldu3bF9OnTsXz5ckfa+PHjodPp8Pnnn7tdxp16q6vqj9z8Qo/0h8FsxeD/fg8ASH90HPxV7i/+nXGqGFabex8TTRYb5n+8DwDw1i2DoFY27BrpKb4Qx46j+Xh/V5bTl1wB4B9XdsGIHuHNHs+5UiN2HM1HYZkZYYEqjOwRgfZBbW8RzHOlRjz8ZSZq+yYkScCyv/VDu2boF1+JAwB2Hi3Ayp9OOmaFyCTvvlepdQsNVKFHZKBH6ywtLUVURJhLnzE4EOICDoRQFVFeDvO2bTCnpsJ2+LAjXQoLg2rCBKgmTYI8OtqLERIR+bbmvqbq9XoEBQXh448/xs033+xIf+CBB7B+/XocPXrUrTLu1AsAJpMJJtNf99qXlpYiJiYGMYs+g0zNQVwiIiJ32U0GZL80w6XPGE27RyhRKyMFBEB9zTVQX3MNbCdPwrxxI8xbtkAUFsK0di1Ma9dC3q8f1ElJUI4cCUnT9n5hISLyJSUlJQCAkGq3MoaFheHChQtul3GnXqDydponn3zS1fCJiIioCXAghMhN8i5d4Dd/PjRz58Kye3flAqvp6bBlZsKQmQm89hpUY8ZAlZgIea9ejVpglYiI3KNSqQAABoPzltplZWVQq2tf/M+VMu7UCwCLFy/G/fff73heNSNkzyPjfG7WaWNujaFKb20/jj1ZRXXe9nBF51DMH9WtWWJJzshG6m/nYK8lFpkEJMa1x/T4mGaJBfD+bUu+0h++Eoev8fb7w5fi2HE0H+//lOUztyx5qk+a7NaYl1zLy4EQokaSlEqorroKqquugj0vD+bNmysXWD13DuZvv4X5228h69wZqqQkqMaNg0yn83bIRERtRkREBAIDA5Gdne2Unp2djS5durhdxp16AUCtVtc6UOKvUjRqPY+moFHKYZVxIKQx2gVp6t2Jo12QBppm+mJVbLDUuz1qscHSbLFUp1bKm/3c4/u0Q8pv52o9JgBM6NO+WWLylTh8zblSo+P/vz5wFuP7tPP6AsPeeJ/mllTg/V1ZTn+7VYNmK3edRFxHHdrrvDcDvTF94qeUe/y6Z21AfTJXMx4+fNjlB5G3ZBcZsO90MbKLDJfO3ARkkZHQ3HILtB9+iIBnn4Vy3DhApYI9KwvGN99EyY03Iv/RJ2DZuxfCZvNKjI3h7f5tqvO7W6+3+4OILk2SJCQmJuKLL75wpBkMBnz33XdISkpypP3+++/YuHGjy2VcrZfattG9IuodfGjOnTiqtketTVvcHjVK54d5V3WFJFX+wn7xf+dd1bXZvlz6Shy+ZNsfeXj4y0zH89TfzuFfyb9i+5E8L0blHdv+yK/373brH22vTzzF5SGTPn36uFwp118lb0jJzEVyRg70Riu0GgWmx0cjqV+UV2KRZDIoBwyAcsAA2O+8E/s//grKrd8jpugMlD/vQvnPuyBFREA1cWLlAqtR3omzIbzdv011fnfr9XZ/EJHrlixZgmHDhuGWW27B+PHj8eGHHyI4OBh33XWXI8/777+PtWvXIicnx+UyruShtq3qS+7bP56osWtMc3/J5faoNY3qGYle7YKw9Y88x85zY3pFNvvgg6/E4QtySyrwzo4TTreTVc2AePvHE+jVLqhN9Ut+manewdT8MlMdR+lSXB4IqT71k8iXZBcZkJyRA7sQ6BIegDy9EckZOYjrqPP6VqpnLHK8pukNe2IvxJmL0PPALgzO2g///HyYPv4Ypo8/hmLAAKgSE6EcMQJSPfeWe4u3+7epzu9uvd7uDyJqmD59+iA9PR1vvvkmUlNTMWrUKNxzzz1Oa3LExcUhMTGxQWVcyUPkK19yfWlQxpe012nw9ys6eTsMn4nD26pmQNR1O9nWP/LaVD9VzeSqqz/a2kwuT3J5ICSaW4KSD8svM0FvtKJLeADkMgmRWg2yCsqRX2by+hfTi2MrlHXEzjE3YO358XiinR4d03fAum8frPv3w7p/PxAQANXYsZULrPbo4TMLrHq7f5vq/O7W6+3+IKKG69GjB1544YU6j8+ZMwdz5sxpUBlX8xD5ypdcXxmUIaoLZ0A440yupuPyGiHVlZeXY/369XjxxRcdaUeOHOFtMeQVEYFqaDUK5OmNsNkF8vRGBGoUPjFKWltsmgA/+I8dg8BnnkHQRx9BM2sWpHbtgPJymDdsQNmdd0I/fz5MX30Fe2mpt5vg9f5tqvO7W6+3+4OIiMhdVYMy94ztgb9f0YmDIORTfG0tm4sXbU3OyEZuSUWznp9ryDQdtwZCjhw5gssuuwzz5s1z2gJu6dKl+PTTTz0WHJGrYkL9MT0+GjJJQlZBOWSShBmDo33i1/lLxSZr1w6aW29F0KpVCHjmGShHjwaUSthPnEDF66+j9KabUP7UU7BkZEDY7T7ZhpZ6fnfr9XZ/EBEREbVGvrTAsK8s2jqqZyRemD4Aky/vgGFdwzD58g54YfoAjOrJ2SCNIQk3pnBcffXViIuLw/LlyyGTyRyzQNLT0zF//nykp6d7PFBvKi0thU6nQ0lJCe/79XHZRQbHVE9f+1LakNjspaWw/PADTCkpsJ844UiX2rWDetIkqCZOhKxdu6YOuQZv929Tnd/der3dH0QtEa+pzny5P/ZmFcFq40xfahpGiw23fbAXAPD+nCFtcotYqt32I3l1rmXTXF/+c0sq8K/kX1HbN2VJAl6YPqDNzsbIKizH4i8qB4iu7tfe7a2NwwJV6NlO69HYGnJNdWsgJCQkBCdPnkRwcDAkSXIMhJSVlSEsLAwmU+u6d8uXP6RQ6yaEgO3oUZhTU2H+4QegvLzygCRBMXAgVElJUF55JSSVyruBEhG5iNdUZ77cHxwIoabkqS9T1DqdKzF6dS2bT/acxjcHzjp2rLmYTAImX97BJ9b9aW7b/shz2tVHJrk/SOXtgRCXF0u9mN1uh9lsBgCnxRyzsrKg0+ncqZKIaiFJEhQ9e0LRsyf85s2D5aefYE5JqVxcdd8+WPftg6TVQjluHNSJiZB36+btkImIiIjqVfVlqkrqb+eQ8tu5Zv3Fn3ybtxcY5qKtNbW2rY3dWiNkwoQJeO655wD8NRBSUFCAe+65x2nrOSLyHEmthmrsWAQ++yy0q1ZBfcstkCIiIPR6mL/6Cvr586FfuBCmDRtgLyvzdrhERERENdT1ZUqIyi9T50qMdRcmaia+tmirL6ja2rg2VVsbtyRuzQh5/vnnMXr0aGzYsAFCCIwZMwbp6emIiIjA6tWrPR0jUZtXfS0KeVQU/ObMgebWW2Hdtw/mlBRYdu+G7ehRVBw9ioq33oJy5EioEhOhuPxySLL6xzzdWesiu8iA38+WQACI66Bza42MqvNarHYUG8yOugC4FM/FcbtaprayrXV9j7bQRiIialmqvkzV9mt71ZeptnjLAfkWbltbU2ubJePWQEhsbCwOHDiA1atXIz09HXa7HVOnTsXs2bN97v5WopYuJTMXyRk50But0GoUmB4fjaR+UQAASS6HcsgQKIcMgb2kBObvv4c5JQX2rCxYvv8elu+/hywqCqqqBVYjIhpUf30xvb71GLKLK7cQiwnxw51jul+yXG3nPVVYjvOlJtiFgFIuQ5BaDp2/Cn4qRb3xXBx3hdkKAJcs05g2tzRtoY1ERNTytLYvU9Q6VW1bW9eirS3pFhBPqZolU9cgZkubJePWQAgAaLVaLFiwwJOxEFE12UUGJGfkwC4EuoQHIE9vRHJGDuI61pyBIdPpoJk6Feq//Q22I0dgTkmBeetW2HNzYfzgAxhXrYIiPh6qxEQoExIgKZUNqv/imFbtzsLZkgr4KStnmpwtMWLV7lP1lqutXeUmK0qNVpgsNkgSoFHIcE5vQqnJhuHdw2EwW2uN5+K4I7RqpJ0oAyBwZddwlNVRxp0+banaQhuJiKhlam1fpqj1GtUzEr3aBXl10VZf0tpmybg8ELJ//36XKx0wYIAboRBRdfllJuiNVnQJD4BcJiFSq0FWQTnyy0x1fqGVJAmKXr2g6NULfvPnw7JjB0ypqbAdOADr3r2w7t0LSaeDatw4XOh/ZYPrzy8z4UKFBTJI8FdV/hNiNVpQYrDUW662dgVpFLDY7JBJlXHLJOnPe4YFLDZ7nfFc3C/FBjNkEgAhwVRPmcb0aUvTFtpIREQtU2v7MkWtm7cXbfUlrW2WjMsDIQMHDnS5Ujd25CWiWkQEqqHVKJCnNyJSq0Ge3ohAjcLlX0skjQaqCROgmjABtjNnYN64EeZNmyAKC2H64gvEfPEFHg2LRlq3eGRfdgVyTbhk/RGBagT7KXG+1AjDn7ek2AWg81e6HFdVu8pMVijlMpQLQIKAXQhUrr8sQSmX1dnei/vFX6X4c8VqAXU9ZWor606ftgRtoY1ERNQytbYvU0RtSWuaJePyQEhxcbHj/9etW4dnnnkGzzzzDIYMGQIA2Lt3Lx566CEsXrzY81EStVExof6YHh+N5IwcZBWUI1CjwIzB0W79qi/v2BF+//gHNLNnw5qeDnNqKiy7dyO2MAexhTkwZ3yHXzvFwf+aJESH+NUb06yEzjXWCJl9ZazLcV3criCNAhVmG+xCwCaA9kFq6PxUKNCb6mzvxeUL9CZ0+PMf37x6ytRWtrF96qvaQhuJiKjlak1fpojamtYyS0YSbkzf6NevHz766KMat8Ds378fs2bNwoEDBzwVn08oLS2FTqdDSUkJF4Mlr2iq3T/sxcUwb9mC8m+/g/xMjiNd1qEDVImJUE2YAFl4eJ0xcdcY39YW2kgtD6+pzny5P/ZmFcFq4yxfIiLyvLBAFXq203q0zoZcU90aCPHz80NOTg7CwsKc0gsLCxETEwODwdDQKn2aL39IIfIEIQRshw7BnJoK87ZtQEXlTA/IZFBccQVUkyZBOWwYJIXb6ysTEQHgNbU6X+4PIQTsArDZK29dFAKwC/Hn46/jdiFgt1/0/0558edzAZu9/uNV5+Id1kRErZ+3B0Lc+lbTu3dvLFmyBM8//zwUf34xslqtWLJkCXr37u1OlUTkRZIkQdG3LxR9+8JvwQKYt2+HeeNG2H77Dda0NFjT0iAFB1euNzJpEuSxsd4OmYiImpgkSZBLgFwmNet5nQZYahk0qXfQxf7Xc9tFAyxV+YQABP4abLn4ucBf+XBRmvhz0Kfq/4mIqOVza0bI7t27MXnyZGg0GgwYMABCCOzfvx9msxnffvsthg4d2hSxeo0v/1pD1JRs2dmVs0Q2b4a4aJ0ged++lbfOjBoFyZ+3XBCR63hNdcb+aHmEqDlwUt/gitMgyp/HqHYXfyup3ksXf2WpeezictWO1ltnPeWoWTX1IKOnqq/rq3ND4q8tb13vv9rztg4BKjkigzy7LlCT3xoDACUlJVi1ahUOHjwIAOjbty9mz57dKi/i/JBCzc3dtR1qK+dqXRev16FUyBz5s4sMyL9QjvbHfkPQzq2w/vwzYLcDAIRag/z+Q5A3dBRihw9GTFhAjXOevVCBEwXl6BoegKFdw+o8f33xFBnMkABYrHaUmW016mrMWiGNxXU4fBNfF9/Fa6oz9gcREZFnNMtASFvCDynUnFIyc5GckQO90QqtRoHp8dFI6hflVjkALtVVVfZ0oQHFBjOC/ZWIDQtAt4gAHM8vdyo/qYMK5s2bUfz1t/DLP+eo42xAGCxjxiN/8HCsOVoGvdGKcxcMKK6o3GJXrZBh6qCOeOSavi635XShAedKjbDZ7bDa7LADUMpkCFArHHVd3O6KP7fz9VMpGtR37nL3taKmxdfFt/Ga6oz9QURE5BkNuabKmikmInJBdpEByRk5sAuBLuEBsAuB5IwcZBfVvwBxbeVW7c7Cqt2nLllXVVmD2YpyswVCCBjMNhSWmfDFvjMwmK1O5c9IfsifeC3uH7UA9/T/Oza1j4NRpkSH8kLEfvMpBj65CLdtW4Ur8o8gv7QCJosNIf5KCCHwxb4z+PlEoUttMZitKKkww2SxwWKzw2qvnIgihIDVXlnXhv1nHO1up1XjbEkFzpYYEaFVu9x37nL3taKmxdeFiIiIiC6FAyFEPiS/zAS90YpIrQZymYRIrQZlRivyy0wNLldSYcUFg+WSdVWVDVArYLUBOj8lrDYBpVwGk9WOALWiRvn8MhMuGK04qIvBW/2vwz/G3Ivne07CYV1HyIUd/c4cxh0/rsY3+9/FXTk70L68EDo/JUxWO04UlLvUlgC1AhabQPU1+oQkwV9VGdvBc3pHu002O2SQIJMAi83uct+5y93XipoWXxciIiIiuhTuhUnkQyIC1dBqFMjTGxGp1SBPb0SgRuFY+6Ih5XR+CgDSJeuqKltuskIhB0oqLFAr5bDY7FArZCg3WWELEDXKB/spcb7UCIPZCgPk+LZ9f/zWdxg6VxRh5KlfMOTkLwg3lWN2bjpm56bjQFBHpLa/HN20cS61pdxkhVIuobzazXuSEDCYK2Pr216LP87pK2NTKWCHAIQEpVzmct+5y93XipoWXxciIiIiuhTOCCHyITGh/pgeHw2ZJCGroBwyScKMwdGXXOyxtnKzr+yMWQmxl6yrqqy/SoEAtRKSJCFAJUdYoBrTBnWEv0pRo3xMqD9mJXRGB50fKix2VFjs6KDTYN6obpg4aQi+ib8aD179LzzV72/4KaQrbJBweekZPHgkBT3/swCGF16A9eDBWlfevjgenb8KaqUcSrkMChkgkwGSTIJCJuGG+I6YMqCjo915ehM66PzQQadBgd7kct+5y93XipoWXxciIiIiupRGLZZ67NgxHDp0CEII9O3bF927d/dkbD6DC5lRc/O5XWPqKJ9dZMDvZ0sgAMR10NV6zrMXKnDmRA76/ZGOdnt+hP3sWUd5WWxs5Ta848ZBFhJSZzzcNYYaiq+L7+I11Rn7g4iIyDOafNeYkpIS/OMf/8AXX3wBmaxyUondbsfUqVOxcuVK6HQ69yL3UfyQQuQZQgjYDhyAaeNGWH78ETD9uW6DXA5lQgJUiYlQDB4MSS73bqBE1GR4TXXG/iAiIvKMJt81ZtGiRTh+/Dh27NgBo9EIo9GIHTt24NixY7jvvvvcCrohysvLkZOTA5vN1qRliMizJEmCon9/BDz4IHSffgq/e++FvFcvwGaDZedOlD/6KEpnzkTFypWwXTRzhIiosfbs2YNbbrkFo0aNwvz583Hq1Kl685eUlODZZ5/FtddeiylTpuCpp56CXq93yvPGG29g2LBhTo9rr722KZtBREREHuDWjJDQ0FD89NNP6NOnj1P6oUOHMGLECBQW1r89prtsNhvuuecerFixAgEBAZDL5Xj11Vdx0003ebRMdfy1hqhp2U6ehDk1FeYtWyBKSx3piv79oZo0CcqRIyFpNF6MkIg8xRvX1PT0dIwYMQILFy7EhAkT8O677yItLQ2//vorIiIiai3Tp08fXHvttRgxYgRsNhuWLl0Ku92OXbt2wc/PDwDw0EMP4YcffsArr7ziKKdWqzFw4ECXY+NnDCIiIs9oyDXVrV1jKioqEB4eXiM9LCwMBoPBnSpd8r///Q+fffYZ9u/fjz59+uCdd97BzJkzERcXh7i42neicKcMETUveZcu8FuwAJq5c2HZvRvmjRthTU+H9ddfYf31V+C116AaOxaqxETIe/aEJEmXrpSI6E9PPPEERo8ejRdeeAEAMH78eMTGxuKVV17B0qVLay2zd+9eBAYGOp4PGjQIsbGx2Lp1K66++mpHelBQEIYNG9a0DSAiIiKPcmtGyNixY9GjRw+8+uqrUKlUAACTyYS77roLx48fxw8//ODxQAGgU6dOuOWWW7Bs2TJHWs+ePZGYmOj0a0xjy1THX2tatqZeNPHnE4U4UVBeYwFPb8guMuC3syWQAFx20eKldeWtr1827D+DtJNFaBekxt8GRte6ECpQ/8Kk1c9R1zlrW6i1o7UM5k2bYPguBbL8PEfe4oiOMI8ZB/+JE/C7Xjjqq97en08UIv1UMYrKTAgNVGNwbAiGdg1zOaaG9JUnNOQcvhYPUUM09zXVbrcjMDAQzz77LO68805H+ty5c3Hw4EHs3r3bpXoKCwsRHh6OL7/8Etdffz2AyhkhH374Ifr27YvAwEAkJCTg3nvvdcwYcQU/YxAREXlGk88IefHFFzFp0iR89dVX6N+/PwBg//79kMlk2LhxoztVXtL58+eRnZ2NhIQEp/Thw4cjPT3dY2WodUnJzEVyRg70Riu0GgWmx0cjqV+Ux+p/6tuD+GLfGZisdqgVMkwd1BGPXNPXY/U3REpmLl7fegzZxRUAgJgQP9w5pnut7b1Uv8z9YA+2HcmHzV75/MOfTuK/f7scABzlKsxWAICfSlFrHdXP0S0iAMfzy2ucsyrfqcJyXDBYEOKvQqewyi1Q0X8c1ll6QHv0IIad2IcxRUcRkn8G+GwVzMkfoyykGzaGX4b9oZ3ROULraO9T3x7EJz+fRpm5ck0gCUCAWoGhXUIgIF0ypob0lSc05By+Fg+Rr8vPz0dFRQU6dOjglN6hQwekpKS4XM/TTz+N4OBgjBo1ypGmVqtxyy23YPz48SgoKMDTTz+NTz75BHv27IFara61HpPJBFPVQtGo/NBGREREzcutgZD+/fvj6NGj+PDDD/H7779DkiRce+21mD17NrRaradjBAAUFBQAqLz95mLh4eH46aefPFYG4IeU1iK7yIDkjBzYhUCX8ADk6Y1IzshBXMf6Z0q46ucThfhi3xkIIRARqEJJhQVf7DuD8X3aNfvMkOwiA1btPoWzJUb4KSvXQD5bUoFVu7NqtPdS/bJh/xlsP1IAu71yNWUBoMhgxfOb/kCEVg21Uo52WjV2ndADkDCsaxgMZqtTHdXPcbqoHF/sO4PukYFO5wwNUCE5IwflJisMZhuEECg3W2AwW7Fq9ykAAnYB7PeLxvrOkdBGj8bkC39gcv7v6GvIw/iiIxhfdAS5Ki02tovDtzY9rDY7ktNzUGH5a2FkAcBgtmL7kQLEdQxCz3ZBOFVYGVOPdoF1vj+a+j3U0HP4WjxE3vLSSy9h7dq19eb54IMP0Lt3b1gsFgCoMTDh5+fnOHYpq1atwssvv4x169Yh5KKtvh9++GGneseOHYvu3bvj/fffx/z582uta9myZXjyySddOi8RERE1DbcGQgBAq9Xirrvu8mQs9araprf6hxaz2Qx5HVttulMG4IeU1iK/zAS90You4QGQyyREajXIKihHfpnJI1/oThSUw2S1IyJQBZlMBp2fEvllZpwoKG/2gZD8MhMuGCyQSYC/qvLP2lphQUmFtUZ7L9UvB8/pYf/zjjm5XILdLmATQFG5GUqFDP1CA1BsMEMGCZAAi81eo47q5whQK2Cy2hGoVjid80RB5WyMII0CVpuAzk+JMpMNAWoFcouNEJJAB50fTNbKQY0yhQZftB+INeH90cuQh6mFvyOp6A9EmfWYk70byN6NnN964ipVd2zRdYWh2j9xdiGgkMsgl0kI/DOmgGoxXdxfTf0eaug5fC0eIm/529/+dsl1OWJiYgAAISEhkCQJRUVFTscLCwtr/FBSm7Vr1+L222/HypUrHbfEVKk+uNKhQwf07dsXv/76a531LV68GPfff7/jeWlpqSNWIiIiah4uD4QcPnwYANC7d2/H/9eld+/ejYuqFtHR0QCAc+fOOaWfO3fOccwTZQB+SGktIgLV0GoUyNMbEanVIE9vRKBG4VjborG6hgdArZChpMICnZ8SJRUWqBUydA0P8Ej9DRERqEawvxLn9UYY/rxlxQ4BnV/N9l6qX/q210ImSbAJAZtNQKDy1pLQABWC/ZSV+VUK2CEAIUEpl9Woo/o5yk1WqBUylJmsCLMLR/6u4QHQahQoM1mhkEuVfaiUodxkhc5fCUCgzGSFWiFHuckGATgGaf7wj8RzgZF4tdNVGFV8HNcX/o74C6cRffoIluAIHpCr8V1ob3wZfhn+8I8EAMgkCVabHTZ7Vb2V57IFiFrfH039HmroOXwtHiJviY2NRWxsrEt5AwIC0LNnT+zduxczZ850pP/888+X3N3ls88+w+zZs/Huu+9i1qxZlzyXEALnz59HQEDd1wG1Wl3nbTNERETUPGSuZuzTp49ju9yq/6/r0RS0Wi3i4+Od1iAxm83YsmULRo8e7UjLz89HdnZ2g8pUp1arERQU5PSglicmtHKdCZkkIaugHDJJwozB0R77VXto1zBMHdQRkiQhv8wMSZJwQ3xHryyYGhPqj1kJseig06DCYkeFxY4OOj/MvrJzjfZeql+mDOiIUT3DIZMBdlTeVhLqr8ADk3phVkJnyCQJeXoTOuj80EGnQYHeVKOO6ufwVykwbVBHBKgVTucc2jUM0+OjEaBWwF8lhyRJCFAr4a9SYPaVsZiV0BkBagWC/ZVQKWSQJMAmAI1ChjB/JRRyGYySAlsj++DlkbPx62PPQX3rrdBrQxBkM+Gm/F/x6aE1WHvwY8wsPICk2ACEBqiRVVCOAHVlTP4qRZ3vj6Z+DzX0HL4WD1FLMXfuXHz88cc4fvw4AGDz5s3YvXs35s6d68jz6quv4tprr3U8X7duHW699Va88847mD17dq31Pv3006ioqFyXyW63Y8mSJTh79ixmzJjRhK0hIiKixnJ515icnBwAlbMsqv6/LvXNtmiMDRs2YOrUqXjuueeQkJCAF154Adu3b8dvv/3mmN56++23Iy0tDb/99pvLZS6FK7q3bNw1pu68vrxrTPXzWax2HM3To6TCisGxIegQ7Iffz5bUumuMsNnwW8qPsG3aiJg/9kNu/3O9EKUSliHDUJAwCoGD4xETHshdY7x4DmqbvHFNtdlsuP322/HJJ58gNjYWp0+fxv/93//hP//5jyPPAw88gLVr1yInJwc2mw1+fn7QaDTo29d5Aex77rkHN998MwDgmWeewQsvvIDIyEjk5eVBo9HgxRdfxLRp01yOjZ8xiIiIPKMh11S3ts/1pq+++gqvvPIKzp8/j379+mHp0qXo0aOH4/jDDz+M/fv347vvvnO5zKXwQwpRy2UvLYXl++9hSk2F/cQJR7rUrh3UkyZBNWkSZJGRXoyQqG3x5jX1/PnzOHv2LLp27QqdTud07PTp0ygsLHTcLpOWllZrHbGxsYiK+msXJavViiNHjkCr1SI6OhqSJDUoJn7GICIi8oxmGQjJz8/HihUrcOjQIQBA3759cfvttyM8PNyd6nwaP6QQtXxCCNiOHoU5NRXmH34AyssrD0gSFIMGQZWUBGVCAiSVyruBErVyvKY6Y38QERF5RpMPhGzbtg1TpkxBREQE4uPjAQAZGRkoKCjAN998g6uuusq9yH0UP6QQtS7CZIJl506YU1Nh3b/fkS5ptVCOGwd1UhLkXbt6L0CiVozXVGfsDyIiIs9o8oGQfv364eqrr8ayZcscW9Ta7XYsXrwYKSkpOHDggHuR+yh+SKEqrX3dhKo1RgrLTAivtu5GfW2v7Vhd65XUt24IAGw/kodThQZ0CvXH6F6ROHuhAumniqHzU2BUz8rnta3JUr2e386WoEBvwp+7/Dq15+K8HYwXULD+W8i3boGi+K/tNY2duwHjJiBy8iTIAgMd6T+fKET6qWIEaRQY3Suy3rVPGtLvrq5TYrHaUWQwX7JfG3u+pmxDXWvEtNa/K3LGa6oz9gcREZFnNPlAiL+/P86cOYOQkBCn9KKiIkRHR8NgMDS0Sp/GDykEACmZuUjOyIHeaIVWo8D0+Ggk9Yu6dMEWIiUzF69vPYbj+WWw2ARUf24FfOeY7gBQZ9tr6xcAeH3rMWQXV+6mEBPiV2s93SICcDy/HHqjFRVmK3IvVKDYYIEdgEwC/JVyWO0CFruAhMrdYgAAkgS1QoapgzrikWv6OsVQYbaixGBGocECo8UGu6isS6OUo2t4ABK6hTnOeXEMZRVmDC46ibFnfkXn45lQ/LnAql2hhHrUVVAlJeF/2Qp8sicbFVYbJEiI0mmQGNfeqb6Gvi9ceV9V5TldaMC5UiNsdjtUCnmd/VpfDE3xPm5IG6rnae1/V1QTr6nO2B9ERESe0ZBrqsvb516sZ8+eOHbsWI3048ePo2fPnu5USeTTsosMSM7IgV0IdAkPgF0IJGfkILuodQz6ZRcZsGr3KWQXV8D258CB1WZHdnEF3tlxAqt2n6q17bX1y6rdp/DOj8dxtsQIP6UMfkoZzpbUrMdgtuKLfWdQbrIiQqvGqUIDCg0WCFT+w2QXQJnZBqPVDsWfszrKzDZUWGwI9lNACIEv9p3Bhv1nHDG006qRXVyB3FITzH8OggCAEIDFasOpwsp4y03WGjF0jtAiI7wb5kVNxEOTH8DmhGuRq4uEzGqB5fvvUf7AA7j+7f/Dzad3o6OtHDIJyC0x4tO92Y76Gvq+cOV9VZXHYLaipMIMk8UGmwCUcqmyX388jlW7s1x6bzbF+7ghbaie5+cTha3674qIiIiIfJPLAyE5OTmOx/z58zF9+nSsWrUKhw4dwsGDB7Fq1SpMnz4dCxYsaMp4ibwiv8wEvdGKSK0GcpmESK0GZUYr8stM3g7NI/LLTLhgsAAQkAFQKWSQSRIAgeJyMy4YLLW2vbZ+KTFYUGywVM7oUCngr1JABqlGPQFqBUxWOwLVClhsdghUjlpIEiCTVQ58VJHLZZD9mSBJgIAEnZ8SJqsdB8/pHTGYbHZAVNYk4FyHJEmwCwGT1YZAtaJGDHKZhMA/n4sgHfYNGI33b3wQT4/5J0pHjYdVrUFH4wUsPLMLX+5bgZePfIUxRUdgM1sc5Rv6vnDlfVWVJ0CtgMUmIJMq/+FWyWWV/Wqw4EJF7a+PO+drqIa0oXqeEwXlrfrvioiIiIh8k8LVjDExMTXSZs+eXSNt/vz5mDdvXuOiIvIxEYFqaDUK5OmNiNRqkKc3IlCjcKxH0dJFBKoR7K/E2RIJdgBmq/3PIxJCAlTQKOR1tr16v+j8lVBbJJQarTCYrQAAO0SNespNVqgVMpSZrAgLVEP6c9hCiMrZIBffs2ez2Z1md0gQKKmoLN+3vRZ/nNNXxqVSAJLkGAC5uA4hBGSSBKX8z3PahXMMdoGyP5+Xm6ywBQjklZkg69AZ0rXX4MS0mVj36qdIPHcAg/RnkHDhJBIunETxaT+kXxiIkwOH46AiuEHvC1feV1V5yk1WKOUSykXlYJDZZq/sV38lNMq6X5+Gnq+hGtKG6nm6hge06r8rIiIiIvJNLg+EVG2TS9QWxYT6Y3p8NJIzcpBVUI5AjQIzBke3moUdY0L9MSsh9q81QuyVs0JiQvww76quEAJ1tr16v8y+MhZC1FwjpLZ6pg3qiGP55SjQmxAb5n/JNUICVXIAwIU/B0FuiO+IKQM6QiGXITkjB3l6E2JC/FBSYUZhuQX2P2+PkSRAqZAjNswfV3YLw7H88hox1PW8qq0xof7YfE0i7vm5L8LLCnBtwUFcV3gIYeYyTDi6Czi6C6fCYmAbNx7R6r4u9/ul3lcX59H5q1BhscNmt8NiE5X9Oqpbva9PQ8/nznunIW24OM/QrmEoKje32r8rIiIiIvJNbi2W2tZwITOq0tp3t2iLu8a48vxiTrvGdA9D++O/48LX30CxLx2SrXKBVWg0UI4cWbkNb1wcJElCfbhrTOv+uyJnvKY6Y38QERF5RpPvGnMxo9FYI02j0TSmSp/DDylEdCn24mKYt2yBOSUF9uxsR7qsY0eoEhOhmjABsrCwemogaht4TXXG/iAiIvKMJh8IOXr0KBYuXIiffvoJFRUVNY63tkkm/JBCRK4SQsB28CDMqakwb9sGVA0Wy2RQXHEF1ElJUFxxBSSFy3cmErUqvKY6Y38QERF5RkOuqW59Ep89ezbCwsLw2WefITg42J0qiIhaJUmSoLjsMiguuwx+CxfCvH07zCkpsB08CGtaGqxpaZBCQqCaMAGqSZMg79TJ2yETEREREbUpbs0I8fPzQ25ubpsZBOGvNdTSNfXaDHWtsWGx2qFUyBzrdjQ0huwiA34/W+I4fvGaGNXLX3yuS62b4Yl2V8V25LweZUYrYsL8EaxRosxsq7F+CQDYTp2CedMmVGzcCFlJiSNd3rcvVElJUI0aBcnPz62461qPxd22NueaHVwfpO3hNdUZ+4OIiMgzmnxGSGxsLAoKCtrMQAhRS5aSmYvkjBzojVZoNQpMj49GUr+oOtMbW3+3iAAczy/HqcJyXDBYEOKvgkYpAwD4qRQux5CSmYvXtx7DiYJymK12KOUSukUE4s4x3Z3yJGfkOJ2rU1jlDiUAmqzdVbH9ca4UFrvzMbVChkC1AlMHdcQj1/y1e4w8Nhbbhk3G5/J+6Jx1EKNP/4LLco/AdvAgKg4eRMUbb0A1ahQyegzB+4Ua6E02l+KuiuXiHXqq+sidtnrqfeGK5jwXEREREVEVtwZCnnzySdx222149tln0a1btxo7IoSHh3skOCJqnOwiA5IzcmAXAl3CA5CnNyI5IwehAapa0+M61pxx0ZD6TxeV44t9ZxAd4geD2QYhBEoqzMgvE5DLJAzrGgaD2XrJGABg1e4sZBdXwGqzQyYBNgFkFxuwaneWI09yRg7KTVbHucrNFhjMVqzanQVAglop83i7s4sqYzhVWA6rveZxIeyw2uz4Yt8ZjO/TzjEzxNFXkgyllw/Gii5x0Bn1eFhzFn7bv4f9zBmYU1PRLzUVDwZF4Pe+Q7E1ql+9cYcGqLBq9ymcLTHC78/BprMlFVi1O8utttb1fmno+8LVfmyucxERERERXUzmTqF27dohMzMTCQkJiIyMREREhNODiHxDfpkJeqMVkVoN5DIJkVoNyoxWnCgorzU9v8zUqPoD1AqYrHYo5TJYbQI6PyUsNgFAQCYBFpvdpRjyy0y4UGEBhIBMkqBSyCr/sRJAScVfefRGKwLVCse5rDYgQK1ASYUVFwyWJml3VWz2Om4qtAvAXyWHyWrHiYLyel+LXMkfZ8ZNhvb99xH4wgvQDx8Nk1yJ9qX5GJf2DZ5cvxy3bv0I+p27UG4w1dqeCwYLZBLgr1LAX6WADBJKKtxra13vl4a+L1zRnOciIiIiIrqYWzNCFixYgIkTJ2LhwoW8PYbIh0UEqqHVKJCnNyJSq0Ge3ohAjQJdwwNqTa9ay8Pd+stNVqgVMlhsdijkEkoqLFDKJZhtlQMESrnM5RiC/ZQ4e8EIuxAwWwUgSYAE6Pz+yqPVKFBmsjrOpVbKUG6yQuenACA1SbsjAtUI9lMiR6r9uEwCDGYb1AoZuoYHXPK1iAhUVy6w2q8f0LEb/q/jVeifdQAjs/ahY95pDDx7CPjoEHr4abG3y0AcvfxK/CHTOtoT7K/Eeb0RBrMVAGCHgM7PvbbWF6OnNee5iIiIiIgu5taMkFOnTuHdd9/F6NGjMWDAgBoPIvINMaGV62XIJAlZBeWQSRJmDI7G0K5htaY39JaE6vX7qxSYNqgjwgLV8FfJIUkSdP4qxIT4oYNOgwK9yaUYYkL9MSuhM2JC/KCQy2AXgFwCYkL8MfvKzo480+OjEaBWOM4VoFbCX6XA7Cs7Y1ZCbJO0uyq22LAAKGr5F1SSZFDIZbghvqPTgql1vRYXnzsm1B/XDuuOPT2uwJMjb8fya+7F2dGJkHQ66Cr0GH/wRyxY+wzu3vwuFtpP4ooof8xKiEUHnQYVFjsqLHZ00Plh9pWd3WqrKzF6SnOei4iIiIjoYm7tGnP55Zfjs88+Q+/evZsiJp/DFd2ppeOuMd7fNaYh566eR1gssKSlofTrbyH/dR+kqn+2/f2hGjMGxQmjcMC/HSRJ4q4x5PN4TXXG/iAiIvKMhlxT3RoIef755/HJJ5/g2WefRffu3WsslhodHd3QKn0aP6QQka+w5+fDvGkTzBs3wp6b60iXde4MVWIiVOPGQcZbFsmH8ZrqjP1BRETkGU0+EFJ94KM6N6r0afyQQkS+RtjtsB44AHNqKiw7dgBmc+UBhQLKhASoEhOhiI+HJJd7N1CianhNdcb+ICIi8oyGXFPdWiz10KFDbgVGRESeIclkUA4YAOWAAbDfdRcsW7fCnJoK25EjsOzYAcuOHZDCw6GaOBGqxETIo6K8HTIRERERkU9wa0ZIW8Nfa4iopbAdPw5Taios338Podc70hUDBkCVmAjliBGQ1NyZhbyH11Rn7A8iIiLPaPIZIUTkO5prsUl3z9PU5epbLNWd+rOLDPjtbAkkwCMLjzZWQ88p79YN/nfeiewbZsKwcyfCdm2DIvNXWPfvh3X/fiAgAKqxY6GaNAnynj2dbnVsTPsaWrahry8XU/UO9j8RERG1Rm4NhFitVrz55ptITk7G6dOnYbVanY7n5OR4JDgiql9KZi6SM3KgN1qh1SgwPT4aSf08fwuEu+dp6nJV+U4VluOCwYIQfxU6hflf8jx11Z+SmYvXtx5DdnEFACAmxA93junuONYcfe1KnK6XC4W23wzccu0sDD+9H6aNGyHOn4d5wwaYN2yArGtXqBMToRw3DhtPlbvdvobG2dDXtzn7nP7SGvv/5MmTyMnJQc+ePdGuXbt68x47dgxZWVlOaRqNBiNGjGhUvUREROR9MncKPfXUU3jxxRcxdepUnDp1Co8++igmTpyIc+fO4aabbvJ0jERUi+wiA5IzcmAXAl3CA2AXAskZOcguMvjEeZq6XFW+cpMVBrMNQgiUmy0wmK31nqeu+n8+UYhVu0/hbIkRfkoZ/JQynC2pwKrdWfj5RGGz9LU7/eBKuY9PGpF/zTQErVqFgOXLoRwzBlAqYT9xAhVvvIGSG2+E5qVn0ePsEXQJ82tQ+xoaZ0Nf3+bsc/pLa+t/s9mMGTNmoF+/fli0aBE6d+6Mxx9/vN4yK1aswI033ohnnnnG8Xj99dcbXS8RERF5n1sDIR9++CE+/fRTLFq0CAAwb948rFy5Em+//Tb279/vwfCIqC75ZSbojVZEajWQyyREajUoM1qRX2byifM0dbmqfIFqBaw2AZ2fElYbEKBW1Hueuuo/UVA5q0QmAf4qBfxVCsggoaSi8lhz9LU7/dCQcpJMBuWgQQh4+GEErV0LvzvvhLxbN0hWKwaezsSCrR/gzjVPY9of26EuzHepfQ2Ns6Gvb3P2Of2ltfX/s88+i+3bt+PQoUPIyMjApk2b8NRTT+G7776rt9zAgQOxZcsWx+OTTz7xSL1ERETkXW4NhJw+fRoDBw4EAPj5+UH/54J8M2bMwO7duz0XHRHVKSJQDa1GgTy9ETa7QJ7eiECNAhGBnl0I093zNHW5qnxlJisUcgklFRYo5EC5yVrveeqqv2t4AIL9lbALwGC2wmC2wg4BnV/lseboa3f6wd1ysqAgqK+/Htq33kL5shews+cwGJQa6MqKMTJjE55KfQmdXnoK5q1bIaq25vVAnA19fZuzz+kvra3/P/jgA8ycORMxMTEAgJEjR+Kqq67CBx98UG85o9GI3bt3IzMzEyZTzUEgd+slIiIi73JrIMRms0GhqFxepEuXLti5cycA4I8//oCfn5/noiOiOsWEVq6FIZMkZBWUQyZJmDE42uMLGrp7nqYuV5UvQK2Av0oOSZIQoFbCX6Wo9zx11T+0axhmJcSig06DCosdFRY7Ouj8MPvKzhjaNaxZ+tqdfvBEuY6D+0E+fyGenLoY715xA4607wYZBBSZv8Lw9NMovekmGF57DdZjxxp9voa+vs3Z5/SX1tT/ZWVlOHbsGAYNGuSUPmjQoEvOYt27dy/uvvtuTJkyBR06dMDHH3/c6HpNJhNKS0udHkRERNS8Gr1rzPz58/H3v/8dCQkJ2LNnD2bOnOmJuIjIBUn9ohDXUdfkuzq4e56mLndxvobsGlNX/VXpte0a01x97UqcTVHurzJ9EBF4K7SmEpg3bYJ540aI/HyY16+Hef16yLt3r9yGd+xYyLRat87nzuvLXUuany/3/5EjR3D69Ol68wwdOhRarRYXLlwAAISGhjodDwsLQ3FxcZ3lx4wZg/vvvx+RkZEAgOeeew5z5sxBnz59MGjQILfrXbZsGZ588sl6YyciIqKmJQkhREMLWa1Wx4wQAFi/fj12796N3r17Y9asWZDJ3Jpo4rMash8xEVFrImw2WPftgzk1FZZdu4CqXcKUSihHjoRq0iQoBgyA1Mr+3aem44lr6ptvvonPP/+83jxvvPEGevbsiby8PLRr1w6ff/45pk6d6jj+6KOP4v3338eZM2dcPm9sbCxmzZqFpUuXul2vyWRyus2mtLQUMTEx/IxBRETUSA35jOHWjJCLB0EA4LrrrsN1113nTlVEROTDJLkcyiFDoBwyBPaSEli+/x6m1FTYT56E5YcfYPnhB8jat4dq0iSoJk6E7M9fz4ma0oIFC7BgwQKX8kZERCAgIAA5OTlO6Tk5OejcuXODzhseHo7c3NxG1atWq6FWt8y1VoiIiFoLt37CKy0trbFyOgB88sknvNeViKiVkul0UE+dCu3bbyPwtdegmjwZ8PeH/dw5GD/8EKUzZ6Js8WKYt2+vd4FVouYkSRLGjx+P9evXO9JMJhNSUlIwceJER9rRo0cda54BQElJiVM9p06dwsGDB9G/f/8G1UtERES+x61bY+644w4MHToUt99+u1P6u+++i4yMDLz11lseC9AX8NYYotYtu8jgsXUQPFlXXfUC8Jl4hdEIy44dKP3mOygO/uZIl4KCoBw3DuqkJMi7dGlUjNS6eOOa+uuvv+LKK6/EzJkzMX78eKxcuRIHDx7EL7/84ljj44EHHsDatWsdMzwuv/xyTJs2Df3798e5c+fw7LPPIigoCDt37kRAQIDL9V4KP2MQERF5RkOuqW4NhISFheHYsWMICQlxSi8qKkLv3r2Rl5fX0Cp9Gj+kELVeKZm5SM7Igd5ohVajwPT4aCT1i/J6XXXVW2GuXKPDT6XwmXir6tEUnMeYnF8xKvtXqEr/WixS3qtX5a0zY8dC+vMLJLVd3rqmZmZm4tVXX8WZM2fQu3dvPPDAA4iK+uv9/s4772Dr1q2OGa8XLlzAm2++ib1790Kr1SIhIQFz586FUqlsUL2Xws8YREREntHkAyEhISHYu3cvunfv7pR+9OhRDBkyxLGSemvBDylErVN2kQFPfP077EIgUqtBnt4ImSThyWsva/DsCE/WVVe9/ioF0k4UAhC4sms4ysxWr8dbWz0KYceSWDN0O7fCsns3YLNVZlarKxdYTUyE4vLLIUlSg2Km1oHXVGfsDyIiIs9oyDXVrTVCJkyYgAceeABlZWWONL1ej/vvvx/jx493p0oiomaXX2aC3mhFpFYDuUxCpFaDMqMV+WWmSxduwrrqqtdis0MmATJIMNnsPhFvbfWUmgXO9eiHgCeeQNAnn0Azbx5ksbGAyQTLli0of+AB6OfMgXHNGtgLChocOxERERFRY7i1a8yzzz6LkSNHIjY2FgMHDoQQAr/88gu0Wi22b9/u6RiJiJpERKAaWo0CeXqjYzZDoEbhWIfDW3XVVa+/SgG7AAABtVzmE/Feqh5ZSAg0N9wA9bRpsB06BPPGjTBv3Qr72bMwvv8+jB9+CMXgwVAlJkI5bBikarcdEBERERF5mlu3xgCVq6mvWrUK+/btgyRJGDhwIGbNmgWdTufpGL2O01aJWq+q9S3KjFYEahSYMTgaiXGNW3PDE3XVVa/hzzVC/FUKn4m3ofWIigqYf/wR5tRU2H67aIHV4GCoxo2DKikJ8thYt9pEvo/XVGfsDyIiIs9o8jVC2hp+SCFq3bhrTOPrcrceW3Z25SyRzZshiooc6fI+faBKTIRq9GhI/p7rR/I+XlOdsT+IiIg8gwMhHsYPKURETUtYrbDu2QPTxo2wpqUBdnvlAY0GqquuqpwlctllXGC1FeA11Rn7g+j/27vzuKjK/Q/gnxlmQXYQxIU1FxDBcAlJ9IoLCu6ZaJa5JHrRvJWlXbM07WelLZaVeTXNJU3NpdIMNddCwUAhFMFdWVRkE4Z1GOb8/uB6biOIgyKH5fN+vXy9nOc858yHh4EzfOc5zyEiqh01Oac+1BohUiooKMCePXuQkZEBHx8f9O/fv9r++/fvR1xcnEGbg4MDpkyZ8jhjEhFRDcgUCih79oSyZ0/oc3Kg/e03aPfvhz41FdoDB6A9cAByZ+eK2/AGBUFuZyd1ZCIiIiJqoBpUISQ9PR29e/eGra0tunbtiiVLliAwMBBbtmy576eEP/74I44ePYqRI0eKbaampnWUmIiIakpuZwfTsWOhHjMG5YmJ0O7bB+2xY9CnpqJkzRqUfPstFD16QB0cDIWfH2SKBnUqIyIiIiKJNah3j3PnzoWtrS2ioqKgUqlw7tw5dO7cGWPGjMGoUaPuu5+3tzeWLFlSh0mJiOhRyWQyKLy9ofD2RrMZM6A9dqxigdVz56CLioIuKgoyOzuoBgyAKjgYJs7OUkcmIiIiogZALnUAY5WXl+PHH3/ExIkToVKpAABeXl7o1asXtm/fXu2+6enp+OKLL7BhwwZcuHChLuISEVEtkpmZQR0SAsvly2G5Zg3UoaGQ2dhAyMlB6Q8/QPPSS9C89hpK9+2DUFwsdVwiIiIiqscaTCEkJSUFhYWF8PDwMGj38PBAUlJStftqNBokJydj165d8PHxweLFi6vtX1paivz8fIN/RERUP5i4uqLZtGmw2rIFZgsXQuHvD8jlKE9MRPGnnyJv7FgULVsG3blz4HrgRERERHQvSS+N2bt3L86cOVNtn/DwcNjY2KCgoAAAYG1tbbD979uq8vLLL2PlypXiGiI7d+5EaGgo+vXrh549e1a5z4cffohFixbV5EshIqI6JlMooAoIgCogAPqsrIoFVvftg/7GDWgjIqCNiIDcxaXiNrwDBkBuayt1ZCIiIiKqBySdEVJUVIQ7d+5U+6+8vBwAYG5uDgCVZmfk5eWJ26ri4+NjsJDqs88+C0dHRxw+fPi++7z11lvIy8sT/6Wmpj7Kl0lERI+Z3N4epuPGwXL9elh8+imUQUGAWg19SgpKVq9G/rhxKFy4EGUnT0L473mFiIiIiJomSWeEhIaGIjQ01Ki+Li4uMDU1xaVLlzBw4ECx/dKlS+jQoUONntfExKTaWSRqtRpqtbpGxyQiIunJZDIoOneGonNnCC+/DO3RoxULrCYno+z4cZQdPw5Z8+ZQBQVVLLDapo3UkYmIiIiojjWYNUIUCgWGDh2KTZs2ibNErly5gmPHjhncMSYiIgJr164FULHAamJiosFx9u/fj/T0dPTp06fuwhMRUZ2TmZtDPWQILL/8EparV0M9ahRkVlYQsrNRunUrNJMmQfPGG9D+9huEkhKp4xIRERFRHZEJDWgluatXr6Jnz57w8PCAn58ffvjhB3h5eeGXX36BXF5R0wkLC0N0dDTOnj0LnU4Hf39/uLi4oFOnTkhJScG2bdsQFhaGr776yujnzc/Ph7W1NfLy8mBlZfW4vjwiInrMhLIylEVFQbtvH3SnTgF6fcUGMzOo+vatmCXi4WFwSSXVLp5TDXE8iIiIakdNzqkNqhACANnZ2di2bRsyMjLg4+ODUaNGiUUQANi1axdSUlLw2muvAQD0ej327duHuLg42NraolevXujcuXONnpNvUoiIGh/97dv/W2D11i2xXe7mBlVICFT9+0N+zwLd9Oh4TjXE8SAiIqodjboQIgW+SSEiarwEvR66v/6Cdv9+lP3xB6DVVmxQKKB8+mmoQkKg6NoVMhMTaYM2EjynGuJ4EBER1Y6anFMlXSyViIhIajK5HMouXaDs0gX6l19G2ZEjFQusXryIsj/+QNkff0Dm4ADVwIFQDRoEk1atpI5MRERERI+AM0KMwE9riKi+S80pQmZBKRws1HC2M3uofsYeozZyNAS6S5cqZokcOgRBoxHbFb6+UIWEQBkQABnvMFZjPKca4ngQERHVDs4IISJqQiLO3MT2U2nQlOhgaapAaDcnhPhUnrVQXT9jj1EbORoKRbt2ULRrB2HqVJSdOAFtRAR0cXHQxcdDFx8PmYUFlH37Vlw607691HGJiIiIyEgN5va5RERUWWpOEbafSoNeEOBubw69IGD7qTSk5hQZ3c/YY9RGjoZIplJBFRgIi6VLYfXddzCdMAEyR0cIBQXQ7tmDghkzoAkPR+lPP0Gfny91XCIiIiJ6ABZCiIgasMyCUmhKdGhhaQoTuQwtLE1RUKJDZkGp0f2MPUZt5Gjo5I6OMH3xRVht3AjzJUugDAwElEqUX76M4hUrkP/ccyh8/32UnT4N4e6teYmIiIioXuGlMUREDZiDhRqWpgrc1pSghaUpbmtKYGGqgIOFukb9jDlGbeRoLGRyOZTdukHZrRv0+fkoO3wYpRER0F+5grKjR1F29Chkjo5QDxoE1aBBkLdoIXVkIiIiIvovzgghImrAnO3MENrNCXKZDNeyCiGXyTCmu1OlhUqr62fsMWojR2Mkt7KCeuRIWK1aBYuvv4Zq2DDA3BxCRgZKNm5E/vjxKPj3v6E9ehTC3VvzEhEREZFkeNcYI3BFdyKq73jXmPpFKC1F2fHjFQusxseL7TJLSyj794c6OBgmbdtKF1BCUp1T4+Pj8eWXXyItLQ0dO3bEnDlz0KZNm/v2Dw0NRWZmZqX2vn374t133wUArF69Gt9//73BdgcHB2zfvt3oXHyPQUREVDt41xgioibm7syOR+ln7DFqI0djJ1OroerXD6p+/VB+8ya0+/dDe+AAhMxMaH/6CdqffoJJ+/YVt+Ht2xdyCwupIzdq8fHx6NmzJyZNmoTw8HCsXbsW/v7+iI+PR/Pmzavc5/XXX0dp6f/WuElPT8f48eMxbtw4se3KlSvQaDT49NNPxTY1b6lMRERU73FGiBH4aQ0RET0qobwculOnoN23D2VRUYBOV7FBpYKyd2+ogoOh6NwZMnnjvmpVinPqiBEjUFRUhN9++w0AUFpaCldXV4SHh2PhwoVGHWPx4sVYsmQJbty4IeaeO3cuYmNjcfDgwYfOxvcYREREtaMm59TG/W6LiIionpCZmEDp5wfzBQtgtWULTKdPh9zNDdBqUXboEArnzIFm0iSUbN4MfRWXZNDD0ev1OHjwIIYPHy62qdVqhISE4MCBA0YdQxAErFu3DmPHjq30xiopKQlDhgzB2LFj8fnnnxvMIiEiIqL6iZfGEBE1QfV5LY/6nK22yG1sYDpqFNTPPIPy8+eh3bcP2iNHoL95EyXr16Nk40YounWruHTG3x8ypVLqyA1WVlYWioqKKq0H0qZNG6MLIUeOHMGVK1ewefNmg3alUolnnnkGAwYMQFZWFpYuXYpNmzbhxIkTUKlUVR6rtLTUoFiSn59fw6+IiIiIHhULIURETUzEmZvYfioNmhIdLE0VCO3mhBCfVlLHAlC/sz0OMpkMCk9PKDw90Sw8HGV//IHSiAiUnzkDXUwMdDExkFlbQzVgAFTBwTBxc5M6cr3w1VdfYceOHdX2WbVqFTw8PKD97516mjVrZrDdzMxM3PYga9euhbe3N/z9/Q3a33rrLZiZ/a9YN2jQIHTo0AHr16/HtGnTqjzWhx9+iEWLFhn1vERERPR4sBBCRNSEpOYUYfupNOgFAe725ritKcH2U2nwbmMt+eyL+pytLshMTaEKCoIqKAjlaWn/W2A1JwelO3eidOdOmHh6QhUcDFVgIGTm5lJHlkxwcDC8vb2r7dO6dWsAgK2tLQAgOzvbYHt2dra4rTp37tzBrl27sHTp0krb/l4EAQBnZ2d4eXkh/m93CrrXW2+9hddff118nJ+fD2dn5wfmICIiotrDQggRUROSWVAKTYkO7vbmMJHL0MLSFNeyCpFZUCp5saE+Z6trJk5OaDZlCkwnTYIuNhbaiAiURUejPDkZxcnJKP7Pf6Ds3bviNrw+PpDJZFJHrlPt2rVDu3btjOprbm6O9u3b4/Tp0xg/frzYHhMTgy5dujxw/02bNgEAXnzxRaOeLzMzE6ampvfdrlareWcZIiIiiXGxVCKiJsTBQg1LUwVua0pQrhdwW1MCC1MFHCyk/8OsPmeTiszEBMoePWC+cGHFAqvTpkHu7AyUlKDst99Q8MYb0EyejJKtW6HPypI6br01efJkbNq0CdevXwcAHDt2DMePH8fkyZPFPitXrkRoaGilfdeuXYtnn322ytkjy5YtEy+vEQQBS5cuRVpaWpXHISIiovqDM0KIiJoQZzszhHZzwvZTabiWVQgLUwXGdHeqFzMu6nO2+kBuawvT0FCoR49GeVIStBER0B47Bn16OkrWrkXJunVQ+PlBFRwMZY8ekCl4ir9r9uzZSEhIgJeXF9q1a4fz589jwYIFCA4OFvtcvnwZUVFRBvudPn0a8fHx+Pzzz6s8rkajgYuLC5ycnJCRkQGdTodNmzbh6aeffpxfDhERET0imSAIgtQh6rua3I+YiKghqM93ZqnP2eobobgY2mPHoN2/H+Vnz4rtMhubivVGgoNh4uIiYcLKpDynpqSkID09He3atYODg4PBtsuXL+P27dsGRYy0tDRcvnwZffr0ue8xS0pKcO7cOVhaWsLd3R2KGhag+B6DiIiodtTknMpCiBH4JoWIiOq78tTUitvw/vYbhNxcsd3Ey6tigdU+fSAzk76wxHOqIY4HERFR7WAhpJbxTQoRETUUgk4H3Z9/onTfPuhOngT0+ooNpqZQ9elTMUukUyfJFljlOdUQx4OIiKh21OScyguIiYiIGhGZQgFlz55Q9uwJfXY2tAcPQrtvH/R3b8m7fz/kzs5QDRoEVVAQ5HZ2UkcmIiIiqlOcEWIEflpDREQNmSAIKE9MrFhg9fffgZKSig1yORT+/lAPGgRFjx6QmZg89iw8pxrieBAREdUOzgghIiIikUwmg8LbGwpvbzR7+WVojx6Fdt8+lCclQXfiBHQnTkBmZ/e/BVadnKSOTERERPTYsBBCRETUhMjMzKAePBjqwYNRfv16xQKrBw9CyMlB6bZtKN22DSY+PhWXzvzjH5A1ayZ1ZCIiIqJaxUtjjMBpq0RE1JgJZWUoi46Gdv9+6GJi/rfAqpkZ1CEhaBYeXmvPxXOqIY4HERFR7eClMURERGQ0mVIJVe/eUPXuDX1WFrQHDkC7fz/0N25AKCqSOh4RERFRrWIhhIiIiERye3uYPv881OPGoTwhATJbW6kjEREREdUqFkKIiIioEplMBsWTT0odg4iIiKjWyaUOQERERERERERUV1gIISIiIiIiIqImg4UQIiIiIiIiImoyWAghIiIiIiIioiaDi6USEZGB1JwiZBaUwsFCDWc7M6njEBERERHVKhZCiIhIFHHmJrafSoOmRAdLUwVCuzkhxKeV1LGIiIiIiGoNL40hIiIAFTNBtp9Kg14Q4G5vDr0gYPupNKTmFEkdjYiIiIio1rAQQkREAIDMglJoSnRoYWkKE7kMLSxNUVCiQ2ZBqdTRiIiIiIhqDQshREQEAHCwUMPSVIHbmhKU6wXc1pTAwlQBBwu11NGIiIiIiGoNCyFERAQAcLYzQ2g3J8hlMlzLKoRcJsOY7k5cMJWIiIiIGhUulkpERKIQn1bwbmPNu8YQERERUaPFQggRERlwtjNjAYSIiIiIGq0Gd2nM0aNH8dxzz8HX1xexsbFG7XPw4EGMGDEC/v7+mDp1KlJTUx9zSiIiIiIiIiKqjxpUIWTu3Ll499134e/vj7/++gsFBQUP3Oe3335DSEgInnrqKbz//vvIyMhAQEAA8vLy6iAxEREREREREdUnDaoQMn/+fBw7dgyjR482ep8FCxZg7NixeOedd9C/f3/88MMP0Gg0WLVq1WNMSkRERPVNZmYmIiMjkZOTY/Q+N27cQExMDHJzcx+pDxEREdUfDaoQYm5uXqP+BQUFOHnyJAYPHiy2mZqaon///jh06FBtxyMiIqJ66OzZs3j++efh4+OD3r174/fff3/gPjqdDhMmTEDbtm0xadIktGrVCh988EGN+xAREVH906AKITWVnp4OQRDQqlUrg/bWrVtXu05IaWkp8vPzDf4RERFRw5SYmIghQ4YgMTHR6H0+/fRTRERE4Ny5c0hMTMSvv/6K+fPn48CBAzXqQ0RERPWPpHeNWbBgAXbv3l1tnz179sDZ2fmhjl9WVgYAUKvVBu1qtVrcVpUPP/wQixYteqjnJCIiovpl7NixAGDU2mJ3ffvttxg/fjzc3d0BAP369UPPnj3x7bffYuDAgUb3ISIiovpH0kJIWFgYRo0aVW0fR0fHhz5+8+bNAQDZ2dkG7dnZ2eK2qrz11lt4/fXXxcd5eXlwcXHhzBAiIqJHdPdcKgiCxEnur7CwEBcuXMD8+fMN2v38/PDLL78Y3acqpaWlKC0tFR/fXbyd7zGIiIgeTU3eY0haCHFxcYGLi8tjO36rVq3QunVr/Pnnnxg2bJjYHh0djb59+953P7VabTCL5O6APuzMFCIiIjKk0WhgbW39UPtevXoV6enp1fbx9fWFhYXFQx3/7qKn935o0rx5c3GhVWP6VOV+s075HoOIiKh2GPMeQ9JCyOPw3nvvISEhATt27AAATJ06FatWrcKUKVPg5uaG77//HsnJydi0aZPRx7y7poilpSVkMtnjit5o5efnw9nZGampqbCyspI6TqPFca4bHOe6wXGuG1KMsyAI0Gg0aN269UMfY8+ePfjhhx+q7bN27Vp4eHg81PGVSiUAoKSkxKC9uLgYKpXK6D5VuXfWqV6vR05ODpo3b15r7zH482OI41EZx8QQx8MQx8MQx6Oy+jomNXmP0aAKIbt378aCBQvE9T3CwsJgYWGB8PBwhIeHAwBSUlKQnJws7vP222/jypUr8PDwgKOjI+7cuYNvvvkGXbt2Nfp55XI5nJycaveLaYKsrKzq1Q9KY8Vxrhsc57rBca4bdT3ODzsT5K5XXnkFr7zySi2lqczBwQFmZmaVZp2kp6eLM1mN6VOVe2edAoCNjU3tBL8Hf34McTwq45gY4ngY4ngY4nhUVh/HxNj3GA2qENKrVy+sX7++UnvLli3F/7/77rsoKioSHyuVSmzcuBHLli1DZmYm3Nzc0KxZs7qIS0RERA3EtWvXkJmZiaeeegpyuRz9+vXD7t27MXPmTACAVqtFREQEpk6dCgBG9SEiIqL6qUEVQuzs7GBnZ1dtn/tdY2tvbw97e/vHEYuIiIjqsZycHJw7dw7FxcUAgKSkJNjb26NNmzbiHV+++uorbN26FWlpaQCARYsWISAgAK+++ioGDBiANWvWQC6XG8xEMaYPERER1T9yqQNQ46dWq/Huu+9WmgpMtYvjXDc4znWD41w3mso4JyYmYu7cuWLhYu/evZg7dy727Nkj9nF3d4efn5/4uGvXroiMjERubi4+//xzODk5ISoqyuBDFWP6SKGpfF+NxfGojGNiiONhiONhiONRWWMYE5lQn+9fR0RERERERERUizgjhIiIiIiIiIiaDBZCiIiIiIiIiKjJYCGEiIiIiIiIiJqMBnXXGGocTpw4Ab1eb9Dm7u6ONm3aSJSo4SsrK0NiYiLUajU8PT0hk8mkjtSo6HQ6REdHV2r39PSUfFHExiA9PR1Xr17Fk08+CUtLyyr7XL9+HZmZmfDw8LhvH6re9evXkZqaim7dulW6jXxSUhKys7MN2mxsbODt7V2XEakW6HQ6JCYmQqFQwMvLq8mfD7RaLc6fPw8LCwu4urpCLudngABQWlqKmJgY2NnZwcvLS+o4krtx4wYyMjLQqVMnqFQqqeNIqri4GJcvX4YgCGjbti3MzMykjlSnysvLERsbCysrK3Ts2LHKPsXFxTh37hysra3Rrl27Ok5Y9xITE5Gfn4+nn366yu1FRUW4cOECHBwcGtbfcwJRHVOr1YKXl5cQEBAg/tuyZYvUsRqsY8eOCS1bthRcXV0Fe3t7wdvbW7hy5YrUsRqVzMxMAYDg6+tr8Lo9ePCg1NEatOjoaGHEiBGCvb29AECIioqq1KewsFAYOnSoYGZmJnh6egpmZmbCqlWrJEjbcB09elQICQkRmjdvLgAQkpKSKvUZMWKE0KpVK4PX92uvvSZBWnoUJ0+eFJycnARnZ2fB0dFR6NChQ5Xf76agqKhImD17tmBnZyf4+PgIrVq1Ejw8PKr8PdMU/etf/xLkcrkwZMgQqaNI6ubNm0JQUJBgZWUldO/eXXBzcxP27NkjdSzJrFy5UrC2thY8PT0FLy8vwdLSUli+fLnUsepEUVGRsGjRIsHFxUWwtLQURowYUWW/7du3C9bW1kL79u0FKysroVevXkJ2dnbdhq0j3333ndCtWzfB1tZWMDc3r7T95s2bwsSJEwVra2vB19dXsLW1FQICAoSrV6/WfdiHwLI4SWLp0qWIjIwU/z333HNSR2qQCgoKMHr0aDz//PO4du0abt68iZYtW+KFF16QOlqjtG7dOoPXbf/+/aWO1KCdOXMGEydOxB9//HHfPm+//TbOnj2Lq1evIikpCWvXrkV4eDji4+PrLmgDd+bMGbz88sv49ddfq+03atQog9f3Z599VkcJqTaUlpbi2WefxeDBg5GSkoIbN27A09MTY8eOlTqaJHJzc+Ho6IiUlBQkJCQgNTUVAQEBGDFiBMrKyqSOJ6ndu3fjyJEjCAkJkTqKpHQ6HQYPHgy9Xo+0tDTExMTg9OnTyM/PlzqaJNLT0zFjxgwsWbIESUlJSExMxGeffYZXX30VV69elTreY5ebmwudTofIyEgMHDiwyj4pKSkYP348/u///g8XLlxAWloa7ty5g5kzZ9Zx2rqRnJyMr7/+Gh988EGV269fv45+/fohKysLcXFxSElJgYmJCSZMmFDHSR8OCyEkiVu3biE2NhZZWVlSR2nQ9uzZg5ycHMybNw8AoFAoMHfuXERFRSE5OVnidI1PamoqTp8+jby8PKmjNAphYWF45plnoFBUfZWmXq/Hhg0bEB4ejhYtWgAAnnvuObRr1w7r16+vw6QN28yZMzFkyJAHXhJQWFiI2NhYXL9+HYIg1FE6qi0HDhxAWloa5s+fDwCQy+WYN28eEhISEBsbK3G6ute6dWvMnj0b5ubmAAATExNMmzYNt2/fxsWLFyVOJ520tDRMnz4dmzdvhqmpqdRxJLVr1y7Ex8dj9erV4iWXtra2eP755yVOJo3s7GwIgmBw+UNAQAAANIn3661bt8Z7770HZ2fn+/bZvHkzLCwsMGPGDACApaUlXnvtNezYsaNRFtAWL14MPz+/+27v0aMHJkyYIL6Ps7CwwIQJExAVFVVpGYT6iIUQksSbb76JKVOmwNnZGUOGDMGtW7ekjtQgxcXFwc3NDc2bNxfb7v7CiouLkypWoxUWFoaJEyfCwcEB48ePb5Qnvfrk2rVryM3NRbdu3Qzan3rqKb6+H4Pvv/8eYWFh6Nq1Kzw9PXH8+HGpI1ENxMXFwdHREU5OTmJb9+7dIZPJ+PPyXzExMVAqlXBxcZE6iiTKy8vxwgsv4I033kDnzp2ljiO5Q4cOwcvLC0888QTOnTuHpKSkJj1bqHPnznjhhRcwc+ZM7NmzB7/88gvCw8MxZswYdO/eXep49UJcXBx8fX1hYmIitvn5+Ylr9VHF71l3d/cGsR4TF0ulRxYZGVntdmtra/j4+IiPv/rqK7z00kuQy+VIT09HSEgIJk6ciP379z/uqI1OTk6OQREEqKhOK5VK5OTkSJSq8VGpVNiyZYt4CdeFCxfQv39/zJo1C2vXrpU4XeN19zV872u8efPmSEhIkCJSozVu3Dhs2LAB1tbWKC0txfTp0zFy5EicO3cODg4OUscjI1R1PjAxMYGNjQ3PBwAuXryI+fPnY9asWbCwsJA6jiTee+89qFQqzJo1S+oo9cKNGzdgaWmJgIAA5Obmori4GMXFxfjmm28wbNgwqeNJYtq0aQgLC8Ps2bMhl8uh1Wrx7rvvNvlFl++q6vfs3cf8PVtRXFyzZg3WrVsndRSjsBBCj2zu3LnVbu/cuTO+/vpr8XFYWJj4/zZt2mDBggUIDQ1FTk4O7OzsHlvOxkipVKKkpMSgTafTQafTNflVz2uTlZWVwTo2HTp0wBtvvIF33nkHa9as4RuEx0SpVAJApdd4cXExX9+17O/rSKjVaixfvhzr16/HwYMHMW7cOAmTkbGqOh8AFT8/Tf3nJS0tDYMGDUKfPn3w/vvvSx1HEmfOnMHSpUuxceNGcbZXdnY2tFotIiMjq7ybVGOnVCoRHR2NjRs34sUXXwQAvPPOO+K6a/f+wdvYJScnY8CAAVi9ejUmTZoEANiyZQsGDhyI06dPG3yo2VRV9Xu2uLgYAJr879mYmBiMGjUKs2fPFn+e6jsWQuiRPWhGyIM4OjoCqKjMsxBSM66urtixYwcEQRD/GL9x4wYEQWiyU3/riqOjIwoLC5GXlwcbGxup4zRKrq6uACoWcPu79PR0vr4fM0tLS5iZmVUae6q/XF1dkZGRgfLycnHadk5ODoqLi5v0z0taWhoCAwPh7e2NH3744b5rEjV2RUVF6N69O7744guxLTk5GXq9HnPnzsX333/f5F4nbm5uMDc3N/ij7Z///Cfef/99xMXFYcCAARKmq3v79++HSqUSiyBAxWzBmTNnIiIigoUQVPyevXfNpbvnyab28/N3sbGxGDhwIKZOnYolS5ZIHcdo9f/iHWpUCgsLK7UdOHAAzZo1wxNPPCFBooYtKCgIWVlZiIqKEtt+/vlnmJmZiQtc0aO73+vWycmJRZDHyMbGBt27d8fu3bvFtry8PBw9ehRBQUESJmtctFptpevijx8/jsLCQnh7e0uUimpqwIABKCwsxKFDh8S2n3/+GUqlEn369JEwmXTS09PRt29fdOzYETt27GjSn9j26NHD4K5QkZGRCAwMRM+ePREZGdkk/4gbNGgQiouLkZ2dLbalpaUBQJO8JNDBwaHSeOTl5UGj0TTJ8ahKUFAQ4uLixNcJUPF71sXFBR06dJAwmXROnTqFoKAgvPTSS/jkk0+kjlMjTbMsTpL56aefsHXrVoSGhqJFixY4fPgwPv/8c3z44YcwMzOTOl6D061bN4SGhuLFF1/E+++/j7y8PMybNw/vvPNOk70G+nFYsWIFEhISMGTIEFhZWWHPnj3YtGkTNm7cKHW0Bu3WrVu4dOmS+GlKQkICdDod3NzcxAUfP/jgAwwePBhubm7o1q0bPvvsM7i4uGDy5MlSRm9Q0tLScO3aNZw/fx4AcPr0aWRlZaFdu3Zo2bIlsrOzERwcjKlTp6JDhw64cOECFi9ejEGDBmHQoEESpydjeXp6YvLkyZgyZQqWLFmCkpISzJ49G3PmzIG9vb3U8epcbm4u+vXrB7lcjlmzZuHPP/8Ut/n4+MDa2lrCdFQfDBo0CAMGDMAzzzyD2bNno7i4GAsXLkRwcHCTXEx26NChcHV1xfDhwzFnzhzIZDIsW7YMjo6OGDlypNTx6kR0dDR0Oh2ys7NRXl6OyMhIKBQK+Pv7AwBGjhwJPz8/jBw5EvPmzcOlS5fwxRdfYMOGDY3yMunk5GRkZWXh8uXL0Ov14lUAvr6+sLCwQHJyMgYOHIguXbrgmWeeMbhKoEePHuIlzvWVTOA98qiOHT58GJs2bUJ6ejrc3d0xceJEg1t1Uc1otVosX74cBw8ehFqtFgsjVLt+/PFH7Nq1S/wD8p///Cc/LX9EP//8Mz7++ONK7dOnT8cLL7wgPj527BhWrlyJzMxM+Pr6Yu7cufx0qgY2b96MlStXVmqfM2cORowYAQC4cuUKVqxYgbNnz6JFixYICgrC+PHjG8Sq7/Q/Op0OX331Ffbt2weFQoGRI0diypQpjfIN+oOcP38eU6ZMqXLb559/zrtgAJg/fz60Wi2WLl0qdRTJFBcXY/ny5Thy5AjMzMwQGBiI6dOnN9nZQ1lZWVi+fDni4+MhCAI6d+6M1157TbyFfWMXEhICjUZj0GZpaYmIiAjxcX5+Pj7++GNERUXB2toakydPxtChQ+s6ap2YP38+jhw5Uql97dq18PDwQERExH3XXdq9e3e9X/KAhRAiIiIiIiIiajL4UQ8RERERERERNRkshBARERERERFRk8FCCBERERERERE1GSyEEBEREREREVGTwUIIERERERERETUZLIQQERERERERUZPBQggRERERERERNRkshBA1UHFxcfjjjz/qzXHq0pkzZ3D06NEa7dMQv86GimNNRERERPWZQuoARPRwNmzYgEuXLqF379714jj3On36NIqKitCrV69aPS4AbNu2DdHR0QgMDDR6nwd9nWfPnsXZs2cBACYmJmjTpg18fX1hZmYmbr969SqGDRtWqT8AWFlZwcvLC25ubjX+ehITE5Geno6ePXvCwsLCYFtkZCRatWqFtm3b1vi4UnlcrykiIiIiotrAQghRA9W1a1e0bt263hznXt9++y3S0tIeSyHkcdixYwc+/vhjDBs2DOXl5UhISEB+fj62bt2KPn36YMeOHVi/fr1YCPl7fwDIzc3F77//jkmTJmHlypVGP++KFSuwePFitG/fHhkZGYiJiYGVlRUA4MKFCxg/fjzi4uJq/wsmIiIiImqiWAghqgWZmZmIiYmBhYUFevToAbVaDQC4ceMGjh8/jtGjR+PPP/9EamoqBgwYABsbGwAVswouXboEJycndOnSBSYmJpWOfe7cOVy4cAHt2rWDt7e32O7j4wN3d3fxcUxMDHQ6HTp37oz4+Hjk5ubiH//4B6ysrKDRaHD8+HEolUr07NkTzZo1u+9x7qou293nevLJJxEfHw+NRgM/Pz/Y2tqK+168eBE5OTnYunUrACAwMBAtW7aEXq/HyZMncfPmTbRv3x4+Pj4PHN/S0lL8/vvvkMvl6NKly337GTOe1XFwcBDzlpeXY8SIEQgLC8PFixcf2B8A9u/fj+DgYEydOhVdu3Y16jkXLFiA/fv3o3v37ggODsaGDRvwr3/9C4IgYNq0afjoo4/Ecb2fpKQk/PXXXwAAa2treHt7w9nZ2aDPg75nQMXsEzMzM4PsCQkJyMnJEWffGPNcRERERET1GQshRI9o6dKlWLRoEbp06QKVSoU7d+5g9+7dcHZ2xunTp/HCCy9gzZo1yMnJQdu2bfHUU09BqVRi7NixiI+PR9euXXHx4kWYmZlhz5494uyMgoICPPfcczh+/Dh69OiB9PR0PPnkk9i0aROAypcfrFq1CtHR0SgoKEDHjh1x9epV5Obm4uOPP8bChQvh6emJixcvQq1W4+TJkzA3N6/yOIWFhQ/MtmrVKsTGxqK0tBSurq7IyMhAWloajh49ik6dOiE5ORlXr15FUVERfvrpJwBAx44dYWJiguDgYNy+fRve3t6Ijo5Gv379sG3bNigUVf86unXrFgIDA1FaWgpPT0+cPXsWrq6uMDU1FfsYk7mmTExMMGzYMOzduxcFBQVG7ePq6goARvfPzs5GTk6OWNx56qmnxKLLN998AysrK4wZM+aBx7l48aI4zrm5uYiMjMTbb7+NefPmiX0e9D0DgE8++QROTk4GhZDvv/8esbGxYiHEmOciIiIiIqrPWAghegS//vor5s2bh3379iEoKAhAxSfmxcXFYp+ysjI8/fTTWLhwodj28ssvo6ysDFeuXIFKpYJer8e4cePw+uuvizMMXn/9dZw/fx5JSUlo2bIlAODnn3+uNs/ly5cRFxcHT09PlJWVwcPDAzNmzMBff/2Ftm3boqSkBO7u7ti8eTOmTZtW5THefPPNB2YDgPPnzyM2NhadOnWCIAgYNGgQPvroI2zYsAGjR4/G0aNHkZaWZrDP1KlTodfrkZSUBAsLC1y7dg1dunTB6tWrMWPGjCrzzJs3D7a2tjh8+DCaNWuGxMREdO3a1WD9CWMz19TFixdhaWlZad2OuwoLC8Xj37lzB2vWrMHgwYMREBBg1PGtra1hYmKCjIwMtG7dGjdv3oSzszNu3ryJxYsX48SJEzh//jyuXr2Knj17ipfM3Gv48OEYPny4+Pivv/5Cjx49MHr0aHTo0EFsr+57Zixjn4uIiIiIqL5iIYToEWzYsAEDBw4UiyBAxcyHe73yyivi/8vLy/Hdd98hLCwMu3fvhiAIEAQBbdq0webNmwEAOp0OmzdvxrJly8QiCACMGDGi2jz/+Mc/4OnpCQBQKpXo1q0btFqtuNCmqakpfH19ceHChSr3NybbXb179xZnEshkMvTp0wd79uypNt+2bduwfPlysbDg5uaG8ePHY+vWrfcthGzfvh3/+c9/xMt5OnXqhKFDhyIvL6/GmR/kbmFDr9cjPj4eX375JRYsWHDf/n+f8aLRaHD79m0MHToUMpnMqOdTKBQIDQ3F1KlTERQUhO3bt+PkyZOYOXMm/v3vf+Pw4cOYM2cOvL29ceXKFcTExMDe3r7KY2k0GsTFxSEjIwPl5eWwsbHBqVOnDIoTD/M9e9jnIiIiIiKqr1gIIXoEKSkp8PPzq7aPSqWCnZ2d+Dg7OxsajQYJCQm4ceOGQd9+/fqJfYqKimr8h+W9a0mo1WrxEpi/t5WUlFS5vzHZ7vr71/Sg4wJATk4ONBoNnnjiCYP2tm3bYvfu3ffdp6CgoNKdWNzd3REfH1/jzA9yt7BhYmKCVq1aYe/evRgwYMB9+9+7Rkh6ejo6duwIe3t7zJw506jn/Pbbb7Fs2TKcP38ee/fuRXJyMm7evInp06fD3d0d27ZtQ2BgIEJDQ7FmzRrMnTu30jF++uknTJ48Ge7u7nB1dRW/F7dv3zboV9PvWVWMfS4iIiIiovqKhRCiR2BjY4Ps7Oxq+9w7O8DCwgJyuRwvvfQSnn/++Sr3sbS0hFwuf+Cxa5sx2R6WtbU1lEolcnJyDNpzcnLuO8vBysoKCoUCubm5Bu1/f1ybme8tbNTU3VvuHjp0yOhCSLNmzfD2228DAPLz8+Hr64tffvkFZWVlSElJEdfr6N69O86fP1/lMV555RUsWLAAs2bNEttatmwJQRBqlF8ul0Ov1xu03Vsoqa3nIiIiIiKSilzqAEQN2cCBA7F3716DgoVOp6v0h/vfmZmZoXfv3li1alWlPx7T09PFPr169cLGjRsNtmdmZtZi+ofLZiwLCwuDP6JNTEzg7++PXbt2iW16vR67du267y12FQoF/P39xctPgIo/zH/99dfHkvlR6XQ6XLt2zeBypqysLGzdurXa18Rdb775JiZMmAAvLy9xNs+tW7cAADdv3kTz5s0r7SMIAm7fvg0PDw+xLTIyEhkZGTXO36ZNG1y6dEl8rNfrcezYscfyXEREREREUuGMEKJHMH36dOzYsQM9evRAeHg4lEoltmzZgq+//rraW56uWLECffv2RWBgIMaMGQOtVovDhw/DyckJK1euBAB88cUX6Nu3L4YMGYLhw4cjPT0dERERiImJeaxfkzHZjNG9e3d8/fXXWLFiBZo3b47AwEB88skn6NOnD5RKJfz9/bFjxw7k5OSIMyKq8sEHH6B///5QKBTo0qULNm7cCJ1O91gy19TfF0vVaDTYuXMn7ty5g1dffVXsk5iYiHHjxiEhIaHa10RkZCQiIyNx+vRpsW3cuHGYMWMGRowYgQ0bNuDQoUOV9pPJZBg+fDhmzZqF1NRUZGdnY/ny5ZUuiTLG+PHjERAQgDfeeAMdO3bEzp07kZ6eLhZgavO5iIiIiIikwkII0SMwNTXFkSNH8N133+HEiROwtbXFypUrxduhtmnTpsrbn3bq1Annzp3DunXrxAUwZ8yYgZCQELHPk08+ibNnz2Lt2rWIiopChw4dcODAAXF7165dDW4N6+fnV+kyhqeffhpyueHEr969exusFXHvcYzJVtVzeXp6Ijg4WHz87LPPoqCgACdOnEB+fj46duwIPz8/nD59GuvWrUNkZCR69+6N7777Di1atLjvGPfu3RuRkZFYv349zp49i1mzZkGv14u3mTU2871f5728vb0xbNgwo7d7e3ujf//+4mwVc3NzBAYGYv369QYzQqKjoxEYGAgfH5/7HhsADh06hDVr1kClUoltK1aswGeffYbExETs3LnT4La2f7dhwwasXLkSUVFRsLOzw6+//oqtW7cazNww5nvWo0cPHDt2DFu3bsWZM2cwc+ZM5Ofn48qVKzV6rgeNNRERERGRlGQCL+wmInpsPvroIwQHB6Nz585SRyEiIiIiIrAQQkRERERERERNCBdLJSIiIiIiIqImg4UQIiIiIiIiImoyWAghIiIiIiIioiaDhRAiIiIiIiIiajJYCCEiIiIiIiKiJoOFECIiIiIiIiJqMlgIISIiIiIiIqImg4UQIiIiIiIiImoyWAghIiIiIiIioiaDhRAiIiIiIiIiajJYCCEiIiIiIiKiJuP/AQ1mHVTx7oxkAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1100x380 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(11, 3.8))\n",
    "ax[0].scatter(df[\"gdp_growth\"], df[\"d_unemp\"], s=10, alpha=.6)\n",
    "xs = np.linspace(df[\"gdp_growth\"].min(), df[\"gdp_growth\"].max(), 50)\n",
    "ax[0].plot(xs, alpha + beta * xs, color=\"#ef4444\"); ax[0].set_xlabel(\"crecimiento del PIB, % anual\"); ax[0].set_ylabel(\"cambio del desempleo\")\n",
    "ax[0].set_title(\"Ley de Okun, 1959-2009\")\n",
    "resid = okun.resid\n",
    "sm.graphics.tsa.plot_acf(resid, lags=12, ax=ax[1]); ax[1].set_title(\"autocorrelación de los residuos\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1db16fd0",
   "metadata": {},
   "source": [
    "La relación es fuerte y el signo es exactamente el que predice la teoría. Los residuos están autocorrelacionados\n",
    "(el desempleo se ajusta a lo largo de varios trimestres), y por eso los errores estándar de arriba son HAC\n",
    "(consistentes con heterocedasticidad y autocorrelación): los errores ordinarios exagerarían la precisión.\n",
    "\n",
    "**¿Es estable la ley en el tiempo?** Una comprobación rápida: estimarla en cada década por separado."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "50968724",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:28.614855Z",
     "iopub.status.busy": "2026-10-18T10:12:28.614498Z",
     "iopub.status.idle": "2026-10-18T10:12:28.655619Z",
     "shell.execute_reply": "2026-10-18T10:12:28.653790Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>beta</th>\n",
       "      <th>ci_low</th>\n",
       "      <th>ci_high</th>\n",
       "      <th>quarters</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>decade</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1960s</th>\n",
       "      <td>-0.045</td>\n",
       "      <td>-0.064</td>\n",
       "      <td>-0.026</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1970s</th>\n",
       "      <td>-0.060</td>\n",
       "      <td>-0.084</td>\n",
       "      <td>-0.035</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980s</th>\n",
       "      <td>-0.083</td>\n",
       "      <td>-0.103</td>\n",
       "      <td>-0.063</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990s</th>\n",
       "      <td>-0.050</td>\n",
       "      <td>-0.076</td>\n",
       "      <td>-0.024</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000s</th>\n",
       "      <td>-0.094</td>\n",
       "      <td>-0.124</td>\n",
       "      <td>-0.063</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         beta  ci_low  ci_high  quarters\n",
       "decade                                  \n",
       "1960s  -0.045  -0.064   -0.026        40\n",
       "1970s  -0.060  -0.084   -0.035        40\n",
       "1980s  -0.083  -0.103   -0.063        40\n",
       "1990s  -0.050  -0.076   -0.024        40\n",
       "2000s  -0.094  -0.124   -0.063        39"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rows = []\n",
    "for start in range(1960, 2010, 10):\n",
    "    d = df[(df.index.year >= start) & (df.index.year < start + 10)]\n",
    "    fit = sm.OLS(d[\"d_unemp\"], sm.add_constant(d[\"gdp_growth\"])).fit()\n",
    "    lo, hi = fit.conf_int().loc[\"gdp_growth\"]\n",
    "    rows.append(dict(decade=f\"{start}s\", beta=fit.params[\"gdp_growth\"], ci_low=lo, ci_high=hi, quarters=len(d)))\n",
    "pd.DataFrame(rows).set_index(\"decade\").round(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8ffc814",
   "metadata": {},
   "source": [
    "## 3. Prever el crecimiento del PIB\n",
    "Un modelo ARIMA predice una serie a partir de su propio pasado. Para saber si sirve, lo comparamos con dos\n",
    "previsiones ingenuas en un **backtest con origen móvil**: en cada trimestre a partir de 1990 se ajusta solo con\n",
    "el pasado, se prevé el trimestre siguiente y se avanza."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2e9bfc13",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:28.660355Z",
     "iopub.status.busy": "2026-10-18T10:12:28.660004Z",
     "iopub.status.idle": "2026-10-18T10:12:37.518484Z",
     "shell.execute_reply": "2026-10-18T10:12:37.517031Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "79 previsiones a un trimestre vista, 1990-2009\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MAE</th>\n",
       "      <th>RMSE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ARIMA(1,0,1)</th>\n",
       "      <td>1.739</td>\n",
       "      <td>2.347</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>media histórica</th>\n",
       "      <td>1.892</td>\n",
       "      <td>2.691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>último valor</th>\n",
       "      <td>2.132</td>\n",
       "      <td>2.654</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   MAE   RMSE\n",
       "ARIMA(1,0,1)     1.739  2.347\n",
       "media histórica  1.892  2.691\n",
       "último valor     2.132  2.654"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import warnings\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "y = df[\"gdp_growth\"].astype(float).reset_index(drop=True)\n",
    "dates = df.index\n",
    "start = int(np.where(dates.year == 1990)[0][0])\n",
    "preds = {\"ARIMA(1,0,1)\": [], \"media histórica\": [], \"último valor\": []}\n",
    "actual = []\n",
    "for t in range(start, len(y)):\n",
    "    past = y.iloc[:t]\n",
    "    preds[\"ARIMA(1,0,1)\"].append(ARIMA(past, order=(1, 0, 1)).fit().forecast(1).iloc[0])\n",
    "    preds[\"media histórica\"].append(past.mean())\n",
    "    preds[\"último valor\"].append(past.iloc[-1])\n",
    "    actual.append(y.iloc[t])\n",
    "actual = np.array(actual)\n",
    "scores = pd.DataFrame({k: {\"MAE\": np.mean(np.abs(np.array(v) - actual)), \"RMSE\": np.sqrt(np.mean((np.array(v) - actual) ** 2))}\n",
    "                       for k, v in preds.items()}).T.round(3)\n",
    "print(f\"{len(actual)} previsiones a un trimestre vista, 1990-2009\")\n",
    "scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c285f387",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:37.525853Z",
     "iopub.status.busy": "2026-10-18T10:12:37.525470Z",
     "iopub.status.idle": "2026-10-18T10:12:38.050741Z",
     "shell.execute_reply": "2026-10-18T10:12:38.049115Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit = ARIMA(y, order=(1, 0, 1)).fit()\n",
    "fc = fit.get_forecast(8)\n",
    "ci = fc.conf_int(alpha=0.2)\n",
    "hist = y.iloc[-24:]\n",
    "plt.figure(figsize=(10, 3.6))\n",
    "plt.plot(range(len(y) - 24, len(y)), hist, label=\"crecimiento del PIB\")\n",
    "fx = range(len(y), len(y) + 8)\n",
    "plt.plot(fx, fc.predicted_mean, color=\"#ef4444\", label=\"previsión ARIMA\")\n",
    "plt.fill_between(fx, ci.iloc[:, 0], ci.iloc[:, 1], color=\"#ef4444\", alpha=.2, label=\"intervalo del 80%\")\n",
    "plt.axhline(0, color=\"grey\", lw=.6); plt.legend(); plt.title(\"Previsión a dos años tras la recesión de 2008-09\"); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "867d1b1e",
   "metadata": {},
   "source": [
    "**Leerlo con honestidad.** ARIMA supera a \"repetir el último trimestre\", pero solo mejora ligeramente a la media\n",
    "histórica: el crecimiento trimestral del PIB es casi impredecible a partir de su propio pasado. La previsión\n",
    "posterior a 2009 vuelve a la media en pocos trimestres y el intervalo es amplio. La previsión macroeconómica\n",
    "seria añade otra información (encuestas, mercados financieros, indicadores adelantados), que es justo para lo\n",
    "que sirven los modelos multivariantes como los VAR y los modelos de factores dinámicos de statsmodels.\n",
    "\n",
    "## Bibliotecas que conviene conocer\n",
    "| Área | Bibliotecas |\n",
    "|---|---|\n",
    "| econometría, series temporales | statsmodels, linearmodels (datos de panel, variables instrumentales), arch (volatilidad) |\n",
    "| previsión | statsmodels, sktime, Darts, Prophet |\n",
    "| inferencia causal | DoWhy, EconML, DoubleML |\n",
    "| datos económicos | pandas-datareader, fredapi (datos de la Reserva Federal), wbgapi (Banco Mundial), sdmx1 (oficinas estadísticas) |\n",
    "| finanzas cuantitativas | QuantLib, PyPortfolioOpt, vectorbt |\n",
    "\n",
    "## Ejercicios\n",
    "1. Estima una curva de Phillips: regresa el cambio de la inflación sobre la tasa de desempleo. ¿Es estable entre décadas?\n",
    "2. Añade el crecimiento del PIB retardado a la regresión de Okun (`df[\"gdp_growth\"].shift(1)`). ¿Mejora el R²?\n",
    "3. Amplía el backtest a previsiones a cuatro trimestres vista. ¿Sigue ARIMA superando a la media?"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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