{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Recursive least squares\n", "\n", "Recursive least squares is an expanding window version of ordinary least squares. In addition to availability of regression coefficients computed recursively, the recursively computed residuals the construction of statistics to investigate parameter instability.\n", "\n", "The `RecursiveLS` class allows computation of recursive residuals and computes CUSUM and CUSUM of squares statistics. Plotting these statistics along with reference lines denoting statistically significant deviations from the null hypothesis of stable parameters allows an easy visual indication of parameter stability.\n", "\n", "Finally, the `RecursiveLS` model allows imposing linear restrictions on the parameter vectors, and can be constructed using the formula interface." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:40:51.682241Z", "iopub.status.busy": "2023-12-14T14:40:51.681984Z", "iopub.status.idle": "2023-12-14T14:40:57.563623Z", "shell.execute_reply": "2023-12-14T14:40:57.562221Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "from pandas_datareader.data import DataReader\n", "\n", "np.set_printoptions(suppress=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1: Copper\n", "\n", "We first consider parameter stability in the copper dataset (description below)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:40:57.569501Z", "iopub.status.busy": "2023-12-14T14:40:57.567190Z", "iopub.status.idle": "2023-12-14T14:40:57.607008Z", "shell.execute_reply": "2023-12-14T14:40:57.605725Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This data describes the world copper market from 1951 through 1975. In an\n", "example, in Gill, the outcome variable (of a 2 stage estimation) is the world\n", "consumption of copper for the 25 years. The explanatory variables are the\n", "world consumption of copper in 1000 metric tons, the constant dollar adjusted\n", "price of copper, the price of a substitute, aluminum, an index of real per\n", "capita income base 1970, an annual measure of manufacturer inventory change,\n", "and a time trend.\n", "\n" ] } ], "source": [ "print(sm.datasets.copper.DESCRLONG)\n", "\n", "dta = sm.datasets.copper.load_pandas().data\n", "dta.index = pd.date_range(\"1951-01-01\", \"1975-01-01\", freq=\"AS\")\n", "endog = dta[\"WORLDCONSUMPTION\"]\n", "\n", "# To the regressors in the dataset, we add a column of ones for an intercept\n", "exog = sm.add_constant(\n", " dta[[\"COPPERPRICE\", \"INCOMEINDEX\", \"ALUMPRICE\", \"INVENTORYINDEX\"]]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, construct and fit the model, and print a summary. Although the `RLS` model computes the regression parameters recursively, so there are as many estimates as there are datapoints, the summary table only presents the regression parameters estimated on the entire sample; except for small effects from initialization of the recursions, these estimates are equivalent to OLS estimates." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:40:57.615070Z", "iopub.status.busy": "2023-12-14T14:40:57.612544Z", "iopub.status.idle": "2023-12-14T14:40:57.727242Z", "shell.execute_reply": "2023-12-14T14:40:57.726256Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -154.720\n", "Date: Thu, 14 Dec 2023 R-squared: 0.965\n", "Time: 14:40:57 AIC 319.441\n", "Sample: 01-01-1951 BIC 325.535\n", " - 01-01-1975 HQIC 321.131\n", "Covariance Type: nonrobust Scale 117717.127\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "const -6562.3719 2378.939 -2.759 0.006 -1.12e+04 -1899.737\n", "COPPERPRICE -13.8132 15.041 -0.918 0.358 -43.292 15.666\n", "INCOMEINDEX 1.21e+04 763.401 15.853 0.000 1.06e+04 1.36e+04\n", "ALUMPRICE 70.4146 32.678 2.155 0.031 6.367 134.462\n", "INVENTORYINDEX 311.7330 2130.084 0.146 0.884 -3863.155 4486.621\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 2.17 Jarque-Bera (JB): 1.70\n", "Prob(Q): 0.14 Prob(JB): 0.43\n", "Heteroskedasticity (H): 3.38 Skew: -0.67\n", "Prob(H) (two-sided): 0.13 Kurtosis: 2.53\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] } ], "source": [ "mod = sm.RecursiveLS(endog, exog)\n", "res = mod.fit()\n", "\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The recursive coefficients are available in the `recursive_coefficients` attribute. Alternatively, plots can generated using the `plot_recursive_coefficient` method." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:40:57.735333Z", "iopub.status.busy": "2023-12-14T14:40:57.733212Z", "iopub.status.idle": "2023-12-14T14:41:05.085653Z", "shell.execute_reply": "2023-12-14T14:41:05.084040Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2.88890087 4.94795049 1558.41803044 1958.43326658\n", " -51474.9578655 -4168.94974192 -2252.61351128 -446.55908507\n", " -5288.39794736 -6942.31935786 -7846.0890355 -6643.15121393\n", " -6274.11015558 -7272.01696292 -6319.02648554 -5822.23929148\n", " -6256.30902754 -6737.4044603 -6477.42841448 -5995.90746904\n", " -6450.80677813 -6022.92166487 -5258.35152753 -5320.89136363\n", " -6562.37193573]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA90AAAJOCAYAAACqS2TfAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdd3xT5eIG8Cd7tEm69wTKko2IoEwrQ1BAQAWuCF5FvaIC4kBFEO8VB47rxAnoBcGByA8UBASVocyyQUZLoXunSZt9fn+kOTS0pS1Q0pbn+zGf5Jzz5uQ9p6T2Oe84EkEQBBARERERERHRFSf1dQWIiIiIiIiImiuGbiIiIiIiIqIGwtBNRERERERE1EAYuomIiIiIiIgaCEM3ERERERERUQNh6CYiIiIiIiJqIAzdRERERERERA2EoZuIiIiIiIiogch9XYHGwOVyITMzEzqdDhKJxNfVISIiIiIiokZOEASUlpYiKioKUmnN7dkM3QAyMzMRGxvr62oQERERERFRE3P27FnExMTUuJ2hG4BOpwPgPll6vd7HtSEiIiIiIqLGzmg0IjY2VsyTNWHoBsQu5Xq9nqGbiIiIiIiI6qy2IcqcSI2ueUVmG97e8DfuX7wLp/NMvq4OERERERE1I2zppmtWdokFn/5xGl/vTEeZzQkAOFNgxo9Tb4a/il8NIiIiIiK6fEwWdM1JzTfj499O4fu952B3CgCA9pF6FJitOJVnxlPf7seHE7pxJnsiIiIiIrpsDN314HQ6YbfbfV0NukQnckuxfGc6fvs7D4IAhGml6BhjwPgb4tAjIQhHsoyYsSIFB87kYckfJ3DPDXG+rjLVk0KhgEwm83U1iIiIiIhEEkEQBF9XwteMRiMMBgNKSkqqnUhNEARkZ2ejuLj46leOLpvV4UKpxQ6L3SWu0yik8FcroJJ7T2tgsjpQXGaHBECIvxIqBQNcUxMQEICIiAj2VCAiIiKiBlVbjvRgS3cdeAJ3WFgYtFot/5hvAgRBgNnmQKHJBondCb0OMADwVykQ5KeEWll9mBYEAdklFhgtdsikUkQHaaGUc77BpkAQBJSVlSE3NxcAEBkZ6eMaERERERExdNfK6XSKgTs4ONjX1aFaCIKAknI78kqtKLc7AcggVcgRqFUg1F9Vp5breJUap/JMKLc7kVPmRMsQDaRSXmhpCjQaDQAgNzcXYWFh7GpORERERD7H0F0LzxhurVbr45rQxbgEAcVlNuSV2mB1uGcil0okCPJTItRfBUU9WqulUgnig7U4kWtCuc2JzOJyxATx599UeL6rdrudoZuIiIiIfI6hu47YpbxxcroEFJptyDdZYXe6x2zLpBKE+KsQ7KeEXHZpXcOVchnigrRIyzejsMwGjUqGYD/Vlaw6NRB+V4mIiIioMWHopibJ4XShwGxDgckKh8s9F6BCJkWIvwpBfkrIrkB3cJ1agXC9GtlGCzKLLdAoZNAq+ZUhIiIiIqK64wxR1ChJJBKsWrWqynq704WsknIcyy5FjtECh0uAUi5FdKAGbSJ0CNWprkjg9gjVqaBXKyAIAs4UlImt6TVJSEjAO++8c8U+n4iIiIiImjaG7mZs0qRJkEgkkEgkUCgUSExMxNNPPw2LxeLrqtUqKysLQ4cOFZetDifOFZXhWHYp8kqtcAkC1Ap3F/A24ToE+6kgbYBuxRKJBLFBGqjkMtidLpwtLIMgCFi8eDECAgKqlN+1axemTJlyxetxoWs13Pfv3x/Tpk3zdTWIiIiIiOqMfWWbuSFDhmDRokWw2+3Ys2cP7rvvPkgkErz22ms+q5PNZoNSqbxomYiICABAuc2JvFIrSspt8NxQ3k8pR6hOBZ1aflXG78qkUsQHa3Ey1wST1YFsY80XLUJDQxu8PkRERERE1HSwpbuZU6lUiIiIQGxsLEaOHInk5GRs2LBB3O5yuTB//nwkJiZCo9Ggc+fO+O6777z2cfjwYQwfPhx6vR46nQ59+vTBqVOnAFTf8jhy5EhMmjRJXE5ISMDLL7+MiRMnQq/XY8qUKbDZbJg6dSoiIyOhVqsRHx+P+fPni++RSCT45MvlOJFbijsG98dbr8yBTq1Ay1B/tAzzh9VUDKVSid9//x0AYLVaMXPmTERHR8PPzw89e/bEli1bLnpuiouL8cADDyA0NBR6vR4DBw7E/v37xe379+/HgAEDoNPpEBYciH8MH4DD+/fhp182YfLkySgpKRF7EsydO1c81sot0BKJBB9//DGGDx8OrVaLdu3aYceOHTh58iT69+8PPz8/9O7dWzyfAHDq1CmMGDEC4eHh8Pf3R48ePbBx40Zxe//+/XHmzBlMnz5d/HyPrVu3ok+fPtBoNIiNjcXjjz8Os9ksbv/www+RlJQEtVqN8PBwjBkz5qLn6EIulwuvv/46WrVqBZVKhbi4OPznP/8Rtx88eBADBw6ERqNBcHAwpkyZApPJJG6fNGkSRo4ciQULFiAyMhLBwcF49NFHxbsEXKyOkyZNwm+//Yb//ve/4nGnpaXVq/5ERERERFcbQ/clEAQBZTaHTx6CINRewRocOnQI27dv92plnj9/Pr788kssXLgQhw8fxvTp0/GPf/wDv/32GwAgIyMDffv2hUqlwq+//oo9e/bg/vvvh8PhqNdnL1iwAJ07d8a+ffswe/ZsvPvuu1i9ejW++eYbHD9+HEuXLkV8fDxKLXacynOHtDKb+9Zfo++6B5vWrkJCsBZ+KnfnjBUrViAqKgp9+vQBAEydOhU7duzA8uXLceDAAYwdOxZDhgzBiRMnaqzT2LFjkZubi59//hl79uxBt27dcMstt6CwsBAAMGHCBMTExGDXrl3Ys2cPnn9uFkINWnTpfgOemTsfer0eWVlZyMrKwsyZM2v8HM8Fh5SUFLRt2xbjx4/HQw89hFmzZmH37t0QBAFTp04Vy5tMJtx2223YtGkT9u3bhyFDhuD2229Heno6AGDlypWIiYnBvHnzxM8H3GF9yJAhGD16NA4cOIAVK1Zg69at4r53796Nxx9/HPPmzcPx48exbt069O3bV/zcxYsX19pzYNasWXj11Vcxe/ZsHDlyBMuWLUN4eDgAwGw2Y/DgwQgMDMSuXbvw7bffYuPGjV7HBgCbN2/GqVOnsHnzZixZsgSLFy/G4sWLa63jf//7X/Tq1QsPPvigeNyxsbEXrS8RERERka+xe/klKLc70f7F9T757CPzBtdrBu01a9bA398fDocDVqsVUqkU77//PgB36/Arr7yCjRs3olevXgCAFi1aYOvWrfj444/Rr18/fPDBBzAYDFi+fDkUCgUAoHXr1vWu98CBA/Hkk0+Ky+np6UhKSsLNN98MAAgIjUR4Umek5p9vlfVXydEmXIeHJ9+Lec8/I7biAsCyZcswbtw4SCQSpKenY9GiRUhPT0dUVBQAYObMmVi3bh0WLVqEV155pUp9tm7dip07dyI3NxcqlftWYAsWLMCqVavw3XffYcqUKUhPT8dTTz2Ftm3bAgCSkpIgCAJS883w0+khQILQsDDIpBe/djV58mTcddddAIBnnnkGvXr1wuzZszF48GAAwBNPPIHJkyeL5Tt37ozOnTuLyy+//DJ++OEHrF69GlOnTkVQUBBkMhl0Op3YDR9wX0CZMGGC2PMgKSkJ7777Lvr164ePPvoI6enp8PPzw/Dhw6HT6RAfH4+uXbuK7zcYDGjTpk2Nx1FaWor//ve/eP/993HfffcBAFq2bCn+DJctWwaLxYIvv/wSfn5+AID3338ft99+O1577TUxnAcGBuL999+HTCZD27ZtMWzYMGzatAkPPvjgRetoMBigVCqh1Wq9jpuIiIiIqDFj6G7mBgwYgI8++ghmsxlvv/025HI5Ro8eDQA4efIkysrKcOutt3q9x2aziUEnJSUFffr0EQP3pbr++uu9lidNmoRbb70VSa1bo1e/W3DTgEHo3W8gpBIJgvzcLfEhOhVUChlCQ0MxaNAgLF26FH369EFqaip27NiBjz/+GIC7S7PT6axyMcBqtSI4OLja+uzfvx8mk6nK9vLycrGr94wZM/DAAw/gq6++QnJyMsaOHYuWLVsiLkhbMUO6gLOF5YgP1l60hbhTp07ia0/w7Nixo9c6i8UCo9EIvV4Pk8mEuXPnYu3atcjKyoLD4UB5ebnY0l2T/fv348CBA1i6dKm4ThAEuFwupKam4tZbb0V8fDxatGiBIUOGYMiQIRg1ahS0Wi0AYNSoURg1alSN+z969CisVituueWWGrd37txZDNwAcNNNN8HlcuH48ePisV933XWQyWRimcjISBw8eBAAaq0jEREREVFTw9B9CTQKGY7MG+yzz64PPz8/tGrVCgDwxRdfoHPnzvj888/xz3/+Uxxru3btWkRHR3u9z9P6q9FoLrp/qVRapct75fG5levh4XIJiGt9Hdbt2I/NG3/BX1t/w9P/moy+/Qdi1crvIZdVbTmeMGECHn/8cbz33ntYtmwZOnbsKAZXk8kEmUyGPXv2eIU5APD396+23iaTCZGRkdWO+/bMSj537lyMHz8ea9euxc8//4w5c+Zg+fLlGDVqFIL93RcGjBY78kqtCNOrazxHlS9YeMJ5detcLvftyGbOnIkNGzZgwYIFaNWqFTQaDcaMGQObzVbjZ3iO6aGHHsLjjz9eZVtcXByUSiX27t2LLVu24JdffsGLL76IuXPnYteuXdXOxH6h2v4t1NWFF3AkEol47Dqd7rLqSERERETU2DB0XwKJRFKvLt6NhVQqxXPPPYcZM2Zg/PjxaN++PVQqFdLT09GvX79q39OpUycsWbIEdru92tbu0NBQcUwxADidThw6dAgDBgyoUtbhdKHAbEOByQaHywWV1h/DR43B5HvHY9fWezDstttgLClGUFBQlfeOGDECU6ZMwbp167Bs2TJMnDhR3Na1a1c4nU7k5uaK3c9r061bN2RnZ0MulyMhIaHGcq1bt0br1q0xffp0jBs3DosWLcKoUaOg02rEoJhttECjlEGnvrzeAB7btm3DpEmTxFZnk8lUZcIwpVIJp9NZ5ZiOHDkiXmSpjlwuR3JyMpKTkzFnzhwEBATg119/xZ133llrvZKSkqDRaLBp0yY88MADVba3a9cOixcvhtlsFi+ybNu2DVKp9KLd1utTx+qOm4iIiIioMeNEateYsWPHQiaT4YMPPoBOp8PMmTMxffp0LFmyBKdOncLevXvx3nvvYcmSJQDcE5QZjUbcc8892L17N06cOIGvvvoKx48fB+Aeq7127VqsXbsWx44dwyOPPILi4uIqn2sst+N4dilyjBY4XC4s++xD/LlhNVCUgaKsdKz8/ntERETU2Jrp5+eHkSNHYvbs2Th69CjGjRsnbmvdujUmTJiAiRMnYuXKlUhNTcXOnTsxf/58rF27ttr9JScno1evXhg5ciR++eUXpKWlYfv27Xj++eexe/dulJeXY+rUqdiyZQvOnDmDbdu2YdeuXWjXrh0A9yzlZpMJR3ZvQ1FhAY5n5MPmuDJhMCkpCStXrkRKSgr279+P8ePHiwHfIyEhAb///jsyMjKQn58PwD1efPv27Zg6dSpSUlJw4sQJ/Pjjj+JEZmvWrMG7776LlJQUnDlzBl9++SVcLpcYiH/44Qdx/Hp11Go1nnnmGTz99NP48ssvcerUKfz555/4/PPPAbh7I6jVatx33304dOgQNm/ejMceewz33nuv2LW8NrXVMSEhAX/99RfS0tKQn59f5bwQERERETU2DRK609LS8M9//lO8DVXLli0xZ84cr+6xaWlp4m1/Kj/+/PNPr319++23aNu2LdRqNTp27IiffvrJa7sgCHjxxRcRGRkJjUaD5OTki85Yfa2Ty+WYOnUqXn/9dZjNZrz88suYPXs25s+fj3bt2mHIkCFYu3YtEhMTAQDBwcH49ddfYTKZ0K9fP3Tv3h2ffvqp2Op9//3347777sPEiRPRr18/tGjRQmzltjmcyCgqg93pgsnqgFMQoFbIEBekRYuoEHz07tu44YYe6NGjB9LS0vDTTz9BepFJySZMmID9+/ejT58+iIuL89q2aNEiTJw4EU8++STatGmDkSNHYteuXVXKeUgkEvz000/o27cvJk+ejNatW+Oee+7BmTNnEB4eDplMhoKCAkycOBGtW7fGXXfdhaFDh+Kll14CAPTu3RsPP/wwpj5wH/p3boXPP/gvzhSUXfbPBwDeeustBAYGonfv3rj99tsxePBgdOvWzavMvHnzkJaWhpYtW4r3Bu/UqRN+++03/P333+jTpw+6du2KF198UZxcLiAgACtXrsTAgQPRrl07LFy4EF9//TWuu+46AEBJSYl4MaUms2fPxpNPPokXX3wR7dq1w913343c3FwAgFarxfr161FYWIgePXpgzJgxuOWWW8SJ++qitjrOnDkTMpkM7du3R2hoaK3j3ImIiIiIfE0iXM49qGqwbt06rFixAuPGjUOrVq1w6NAhPPjgg7j33nuxYMECAO7QnZiYiI0bN4p/UAPukOcJdNu3b0ffvn0xf/58DB8+HMuWLcNrr72GvXv3okOHDgCA1157DfPnz8eSJUuQmJiI2bNn4+DBgzhy5AjU6prH2VZmNBphMBhQUlICvV7vtc1isSA1NRWJiYl13t+1zupwItdoRXGZHQLc/7y0SjnCdCro1PJab0vV1NgcLpzMNcHhciFQq0RMoKbZHWNTwu8sEREREV0NF8uRlTVI6K7OG2+8gY8++ginT58GcD5079u3D126dKn2PXfffTfMZjPWrFkjrrvxxhvRpUsXLFy4EIIgICoqCk8++aR4n+SSkhKEh4dj8eLFuOeee+pUN4buK8PqcCLPaEVRpbDtr5IjTKeGn0rWrIOoyWJHar4ZAoDoAA2C/VW+rtI1i99ZIiIiIroa6hq6r9qY7pKSkmonyLrjjjsQFhaGm2++GatXr/batmPHDiQnJ3utGzx4MHbs2AEASE1NRXZ2tlcZg8GAnj17imWo4dkcTpwrLMPf2SYUltkgQIBOrUDLUH+0CPWHfzNs3b6Qv1qBcIM74GWWWGC2OnxcIyIiIiIiagyuyhTcJ0+exHvvvSd2LQfct3J68803cdNNN0EqleL777/HyJEjsWrVKtxxxx0AgOzs7CoTMIWHhyM7O1vc7llXU5nqWK1WWK1WcdloNF7eAV6jbA4nckutKDKfb9nWqRUI06ngp2p6s7tfrlB/FcptTpSU25FeWIZWYf5QVHP7MyIiIiIiunbUKxE8++yz1U5+Vvlx7Ngxr/dkZGRgyJAhGDt2LB588EFxfUhICGbMmIGePXuiR48eePXVV/GPf/wDb7zxxpU5souYP38+DAaD+IiNjW3wz2xObA4nzhWV4Xi2CYVmd8u2v0qOlqH+SAzxuyYDN+CenC0mUAuVXAa704X0wrIq9zAnIiIiIqJrS73S0ZNPPolJkyZdtEyLFi3E15mZmRgwYAB69+6NTz75pNb99+zZExs2bBCXIyIikJOT41UmJycHERER4nbPusjISK8yNY0TB4BZs2ZhxowZ4rLRaKw1eDM8Vd+y7a+SI1yvvmaD9oVkUgnig7U4lWuC2epAVokFUQEaX1frmsLvKhERERE1JvVKSqGhoeLtiWqTkZGBAQMGoHv37li0aNFFbwXlkZKS4hWee/XqhU2bNmHatGniug0bNqBXr14AgMTERERERGDTpk1iyDYajfjrr7/wyCOP1Pg5KpUKKlXdJrryzKReVlYGjebaDE82hwu5pRb3BGkCw3Zt1AoZYoK0OFNgRr7JCq1ShgCt0tfVumaUlblv3eb57hIRERER+VKDJKaMjAz0798f8fHxWLBgAfLy8sRtntbpJUuWQKlUomvXrgCAlStX4osvvsBnn30mln3iiSfQr18/vPnmmxg2bBiWL1+O3bt3i63mEokE06ZNw7///W8kJSWJtwyLiorCyJEjr8ixyGQyBAQEeN2LuLlPCuZhc7hQZLaixOIQw7ZWKUOwvwpapRwQHLBYOGFYdVQSIEAFFJltSM+zQxKkhUoh83W1mjVBEFBWVobc3FwEBARAJuP5JiIiIiLfa5DQvWHDBpw8eRInT55ETEyM17bKXT9ffvllnDlzBnK5HG3btsWKFSswZswYcXvv3r2xbNkyvPDCC3juueeQlJSEVatWiffoBoCnn34aZrMZU6ZMQXFxMW6++WasW7fuit4qyHOhwBO8mzunS0CpxQ6zzQnPj0stl0KnkcMhlyGnxLf1ayoEATCarLA4XCjMliBUp4L0Grlg40sBAQHid5aIiIiIyNeu2n26G7O63l/N6XTCbrdfxZpdXbmlFnz9Vzp+PpgNu8sFAOgSE4CJvePROTbQx7VrmorLbHjkf3uRW2pBrxbBmDeiA6RSBu+GolAo2MJNRERERFdFXXMkB+TWg0wma5Z/0GeVlOOjLaewfOdZ2JzusH1jiyBMS26NG1sE+7h2TVuEWo15d3bF6IXb8d3+XMSHncNjtyT5ulpERERERHSVMHRfw7JLLPhoy0l8XSls35AYhOnJrdGrJcP2ldIxxoB/j+iAp78/gLc2/o0OMQYMaBPm62oREREREdFVwNB9DcoxWvDRllNYtjMdNkdF2E4IwrRbk9C7ZYiPa9c83dUjFinnirHsr3RMW56C/5t6M+KCtb6uFhERERERNTCG7mtIdWG7R0Kg2LJ9rczK7itzbm+PI5lGpJwtxsP/24PvH+kNjbL5DVcgIiIiIqLzGLqvAblGCz767RSW/ZUOK8O2z6jkMnz0j24Y/u5WHMky4vkfDuLNuzrz/BMRERERNWMM3c1YrtGChb+dxtK/zohh+/r4QEy/tTV6M2z7RKRBg/fGd8W9n+/Eyn0Z6BIXgIm9EnxdLSIiIiIiaiAM3c1QbqkFH/92Gv/783zY7h7vbtm+qRXDtq/1bhmCZ4e0xX9+Oop5/3cE10Xp0T0+yNfVIiIiIiKiBsDQ3YzklVrx8W+n8L+/zsBid4ftbnEBmH5ra9zcKoRhuxF5oE8iUs4VY+2BLDzyv71Y8/jNCNOpfV0tIiIiIiK6whi6m4G8Uis++f0UvvrzfNjuGheA6cmt0SeJYbsxkkgkeH10J/ydXYoTuSZMXboPSx/sCYVM6uuqERERERHRFcTQ3YTlm6z45PfT+HJHmhi2u8S6W7b7Mmw3en4qOT6+tztGvL8NO9MK8cpPRzHn9ut8XS0iIiIiIrqCGLqboHyTFZ/+fhpf7jiDcrsTgDtsT0tOQr/WoQzbTUiLUH+8eVdnTPlqDxZtS0OX2ACM6BLt62oREREREdEVwtDdhBSYrPjkj9P4cvv5sN25Imz3Z9husgZdF4GpA1rh/c0n8cz3B9A6XId2kXpfV4uIiIiIiK4Ahu4m4ve/8/Dw//agzFYRtmMMmJbcGv3bMGw3B9NvbY0DGSXiz3n1ozfDoFX4ulpERERERHSZOGtTE9EpxgCZRIJOMQZ8Mel6rHr0JgxoG8bA3UzIpBL89+4uiAnU4ExBGaat2AeXS/B1tYiIiIiI6DJJBEG45v+yNxqNMBgMKCkpgV7feLv1puabkRCsZdBuxg5llGD0R9thdbgwLTkJ05Jb+7pKRERERERUjbrmSLZ0NyGJIX4M3M1ch2gD/jOqIwDgv5tO4NdjOT6uERERERERXQ6GbqJGZkz3GNx7YzwEAZi2PAVnCsy+rhIREREREV0ihm6iRmj28PboFhcAo8WBh77ag/KKCfSIiIiIiKhpabDQnZCQAIlE4vV49dVXvcocOHAAffr0gVqtRmxsLF5//fUq+/n222/Rtm1bqNVqdOzYET/99JPXdkEQ8OKLLyIyMhIajQbJyck4ceJEQx0W0VWhlEvx4YTuCPFX4lh2KZ5deQCcfoGIiIiIqOlp0JbuefPmISsrS3w89thj4jaj0YhBgwYhPj4ee/bswRtvvIG5c+fik08+Ects374d48aNwz//+U/s27cPI0eOxMiRI3Ho0CGxzOuvv453330XCxcuxF9//QU/Pz8MHjwYFoulIQ+NqMFFGNT4YHw3yKQS/JiSicXb03xdJSIiIiIiqqcGm708ISEB06ZNw7Rp06rd/tFHH+H5559HdnY2lEolAODZZ5/FqlWrcOzYMQDA3XffDbPZjDVr1ojvu/HGG9GlSxcsXLgQgiAgKioKTz75JGbOnAkAKCkpQXh4OBYvXox77rmnTnVtKrOX07Xp862peHnNEcilEnw95Ub0SAjydZWIiIiIiK55jWL28ldffRXBwcHo2rUr3njjDTgcDnHbjh070LdvXzFwA8DgwYNx/PhxFBUViWWSk5O99jl48GDs2LEDAJCamors7GyvMgaDAT179hTLVMdqtcJoNHo9iBqr+29KwB2do+BwCfjX0r3IMbIXBxERERFRU9Fgofvxxx/H8uXLsXnzZjz00EN45ZVX8PTTT4vbs7OzER4e7vUez3J2dvZFy1TeXvl91ZWpzvz582EwGMRHbGzsJR4lUcOTSCR4dXRHtI3QIa/Uin8t3Qubw+XrahERERERUR3UK3Q/++yzVSZHu/Dh6Ro+Y8YM9O/fH506dcLDDz+MN998E++99x6sVmuDHEh9zJo1CyUlJeLj7Nmzvq4S0UVplXIs/Ed36NRy7DlThP+sPeLrKhERERERUR3I61P4ySefxKRJky5apkWLFtWu79mzJxwOB9LS0tCmTRtEREQgJyfHq4xnOSIiQnyurkzl7Z51kZGRXmW6dOlSYx1VKhVUKtVFj4OosUkI8cM7d3fBP5fsxpIdZ9ApJgCju8f4ulpERERE1wxBEJBjtOJgRgkOZpQgr9QKuVQCmVQChUwCmVQqLsulEshllZZlldZLpV7Lsorl8++VVtrn+eXzn1VpWVZpn1IJpFKJr08TXaBeoTs0NBShoaGX9EEpKSmQSqUICwsDAPTq1QvPP/887HY7FAoFAGDDhg1o06YNAgMDxTKbNm3ymoxtw4YN6NWrFwAgMTERERER2LRpkxiyjUYj/vrrLzzyyCOXVE+ixuyWduF4/JYkvLvpBJ78dj9WpWTg/psS0a91KH/BEhEREV1BFwbsg+eKcTDDiHyT73vuXoxEgvPhXCr1CuXtInUY2iESt7YPR6Cfsvad0RXRILOX79ixA3/99RcGDBgAnU6HHTt2YPr06Rg6dCiWLFkCwD3LeJs2bTBo0CA888wzOHToEO6//368/fbbmDJlCgD3LcP69euHV199FcOGDcPy5cvxyiuvYO/evejQoQMA4LXXXsOrr76KJUuWIDExEbNnz8aBAwdw5MgRqNXqOtWXs5dTU+JyCXh+1UGs2HUWropvb4sQP9zXOwFjusfAT1Wva2lEREREBCDHaMGBc+6AfahSS/aFpBIgKUyHDtEGxAZp4BIAp8sFh0uAwynA6RLgcLncz07Bvd4luMtUbLdfsOyoeI9n2Sm+R4Dd6fJa9pRzuC49xsmkEvRqEYyhHSMwqH0EQnXsBXwp6pojGyR07927F//6179w7NgxWK1WJCYm4t5778WMGTO8unUfOHAAjz76KHbt2oWQkBA89thjeOaZZ7z29e233+KFF15AWloakpKS8Prrr+O2224TtwuCgDlz5uCTTz5BcXExbr75Znz44Ydo3bp1nevL0E1N0dnCMizZnoYVu8+i1OK+M4BOJcfdPWJxX+8ExAZpfVxDIiIiosbpUgJ2pxgDOkQb0D5SD41S5oNaexMEAS4BYsC31xD4PRcEymxObDuRj58PZeNI1vm7N0klQI+EIAztEIEhHSIRYahbwyX5OHQ3NQzd1JSZrQ58v/ccFm9Lw+l8MwD3L8/kduGYfFMibmwRBImEXc+JiIjo2pRjtOBgRcA+WMeA3TFaj44xAY0mYF9paflmrDucjZ8PZmH/uRKvbd3iAjC0QySGdIhgI04tGLrrgaGbmgOXS8BvJ/LwxdZU/HEiX1zfLlKPyRX3+lYrmt//NIiIiIg8KgfsQxklOFDngG1A+0hDswzYtTlXVIZ1h7Kx7lA2dp8p8trWMdqAoR0jMLRDJBJD/HxUw8aLobseGLqpuTmZW4pF29Kwcm8Gyu1OAECwnxLje8bhHzfGI1zPbkNE5DuCIKCk3A6b04UQPxUngiSiS5JbTRfx3DoG7HaRemiVnAfnQjlGC9YfzsZPB7OwM7UQlYeNt41wT8J2W8cIJIXrfFfJRoShux4Yuqm5Ki6zYfmus/hyexoySywA3LNZDusUick3JaJLbIBvK0hEzZbF7sS5onKcLSzD2aIypBe4n88WuteVWt1zUShkEoTr1YgK0CDKoEak59mgQWSAGtEBGhg0Cg6TIbrG5RotOJhRggPnag/YrcL80TE6gAH7MuWbrPjlcA5+PpSFHacKvCZuaxnqh6EdIjG0YwTaR+qv2d/RDN31wNBNzZ3D6cIvR3KwaFsqdqWd7zbULS4Ak29KxJAOEVDIpD6sIRE1NU6XgByjBemFZRXBuiJgF5YhvbCs2j+GLySRAHX5K0SjkCEyQI0ogwaRhoqAHuAO5p5n3rmBrgaXS0C+2QqZRIIgP+U1GzQamidgu2/TVXvA7hBtQKdoAwN2Ayous2HDkRysO5SNP07kw+Z0idvigrRiF/TOMYZr6nvB0F0PDN10LTl4rgSLtqdizf4s8RdmhF6Ne3vFY/wNcbxnIxEBON8F/GxhuTtYF5WJAftcUTnOFZXB7rz4nxD+KjliAjWIC9IiNkhb8axBbKAWMYFayGUS5JZakVlcjszicmSVWJBVXI7MEguySsqRWWxBodlWp/oaNAoxkF/4HGXQINyggkp+7Y3VpPoRBAEFZpvYS+NcUTnOFp3/N59RVA6rw/3/TrVCiqgADaIrPaICNIgOdL+OMKh5QbsagiCgqMwufuezSyq+8xXf/bR8c60Bu2PFTOIM2L5htNix+VgufjqYhS3H88TvBABEB2gw+LoI3NYxAt3iApv98CGG7npg6KZrUW6pBUv/TMfSv84g3+T+o1Yll2JU12hMvikRbSI4VoeoubuwC7inlfrCLuA1kUsliK4I1TGB7kAdF6RFbKA7YAdoL79buMXu9A7jxeXIrAjkWSXlyCq21FpPjxB/FaI8LeaVniMN7pAUqlNB1sz/QLzWCYKA4jK7V5A+W+h+di+Xi3Oh1EQqAepye2SpBOLQicqBPKbSa/9m1kNDEAQYyx3ILCl3fz9LLMgqtriXiy3INrq/txa766L7uTBgd4w2oH0UA3ZjZLY6sOV4Hn4+lIVfj+WizHb++xOmU2FIhwgM6RCBGxKCIG+GF6EYuuuBoZuuZVaHE2v2Z2HR9lQcyjh/z8abWgVjcu9EDGwb1uyvUhI1V54u4GKYrtQF/GxRGXKMtXcBD9WpEFuptTo2sOI5SINIg6ZRhFSjxe71h72nldzdkuYO6zbHxf/IB9wXEcL1akRWGlteucU8OkBzRS4kUMNy99A4H6orP58tLIPZdvFQLZG4e4DFBGrcF5MqnmMqemlEGNRwCQKySyzIKC5HRlE5Mip6a7if3evr8m9Or5YjOlCL6Ir5C6IDNV6t5yH+jWuiwVKLHVkl7u9WdolFvBCWVeL+/mWXWLxC18WE+Kvc37VK37MIgxoxgVq0i9QxYDdBFrsTv/+dh3WHsrHhaA5KLecviAb5KTH4unAM6RCJ3i2Dm00vEIbuemDoJnJfnd59pghfbE3F+sPZ4lX8+GAt7uuVgLHXx0CnVvi2ktSoma0O5JZakWu0IM9kRa7R6l4utSCv1L2cZ7Ii2E+Jm1qFoHfLYPRsEQyDhv+uLpfF7sS+9GIcOFeM9IqAXdcu4H5KWUWIruj+HahBXLBW7ALeHG6fIwgCCs02MSxkiiHhfGDINlrgrEPzpafLvCeQicEsyP3Mf88Nz2R1eIVqT0v12Yrlyn/o1yRMp6rys4ut+HlGBqgveyiCy+Xupu4J5Z5ALi6XlKO4zF7rfpQyqTih4IXd16MDrkxdPcpsDq8eJFmeYR4V35Pskrr3KgnyU4qBOrJSz5IIg5rDPa4RNocL207l4+eDWfjlSI7Xv3eDRoHkduG4rWMEbk4KadL/Fhi664Ghm8jbuaIyfLXjDL7emQ5jxR8v/io5xnSPwaTeCUjgfRqvGZ6xd7mlFndoLj0fpHNLrcirCNK5RkutrUfVkUqAjjEBuKllMG5qFYLu8YG8n3wdeEL2n6cL8OfpAuw7W1xjq5qnC3jlFmpP9+/YIC0C2XILwN0rILfU4hU63N3YKwJ6sQX5ptp7BujVcjGMxwZVDeXNrTtxQyizOaq0TlceW12XsBrir0R05VbqSj+P6ABNo/g9Y7I6zofxosot5e7lbKOlTt3YQ3Wq8+PKA909NNyt5+51eo0cVofLa5hG5XHU7nBtQUl57ecVOD9/QuSFdxuoWI40qBvF+aXGw+504a/Thfj5UBbWH84WhzUC7r8vb2kXhqEdItCvdViTu9DL0F0PDN1E1SuzOfD93gws3paKU3lmAO5ud7e0DcPkmxLRu2Uw/1hvouxOF/IrWqMvDNKeFum8ihbr2lpKK/NTyhCqUyFMp0aoXoWwitdhOhVCdSqE+KtwpsCMbafysf1kAU7nm73er5RLcX18oNgS3jHa0CzHgNWXxe7E3vQi/Hm6EH/VELJDdSrckBCEFqF+XgE7Qq/mObxCPGPgK7eqnisqx7mKUFhQh0nfArQKsUX1wmAeE6hpll1qrQ4nSsrsKCl3P4orXhdXLJeU2ZBvttXrPAZqFV4XM2ICNeJ5jW4m59HudCHHaBFbxj3d2DOKLcgoKkNGce1jowH3fC3WOnR1BwCdSo7IADUiDN637vO0Ukca1LxTAF0Wp0vA7rRC/HwoG+sOZSPbaBG3aRQyDGgbiiEdIjGwbViTuEjJ0F0PDN1EF+dyCfjjZD4WbUvFluN54vo24TpMuikBo7pG86p2I1Fmc4ih2d292ztI5xrdXb0Ly2x1ulWTR6BW4Q7PepUYqj1BOkynQpjevVzfP8aySsqx7WQBtp/Mx7ZT+VXGGOvUcvRMDMbNrdwt4a3C/K+JCz2VQ/afpwuQkl7sdXsWwB2ye7UIRs8WQbixRTBahPhdE+emMauphdbTSluXFtpgP6U7hFduJa8Uyn31u9bpEmCsFJSLy2woKbe7110YosvtYsguLrfVKRheyNNjoEqoDnK33nK4k/cs4OeKvFvJPSG98gUMrVImjp+O0Fdqpa5onY40qHle6apyuQTsO1uMdYey8POhbJwrKhe3KeVS9E0KxT09YpHcPtyHtbw4hu56YOgmqrtTeSYs2Z6G7/acEydLCdAqMP6GONzbKx6RBo2Pa3htcP+PqgjrD+dg/9lisbXaVMfxdoC723GIvwphFS3SoTUE6RB/FZTyhm8pFQQBp/LM2H4qH9tO5mPHqQJxeINHmE6F3i2D0btVCG5qFYLogObx781id2LvmSJ3d/HUwmpDdphOhRtbBFc8gpDIkN3klFrsyCgu95otu/LY5Av/vVcntGIscmw148mjahnfKwgCTFaH2NpsvCAoF4ut0bYLlu11Gid9MRKJu1uyQaNAgEYBvUaBAK0SBo0cBo0CQX4qVB4rz7HxV0a5zYm8UisMGgX0Gjl/Z1CjJQgCDmUY8XNFAE+t6An3cL+WeHZoWx/XrmYM3fXA0E1UfyXldnyz6yyW7EgTr0zKpBIM7RCByTcloltcAP/nfoXZHC5sP5WP9YdzsOFITo3jSzUKmRikw3RqhFYTpMN0KgRqlY1qVtwLOV0CDmWUiF3Rd6UVVukimRCsdQfwliHo1TIYQU3kPvNeIft0IVLOVh+ye7UMRs9EhuxrRUm5vdpW8nMVt3Ory6zb4Tr3rNthehXMVuf5lueKR10mi7sYP6UMAVqlOzR7QrRWURHqzr8O0CjFbXqNAjqVvFH/viGixkMQBBzPKcVPB7MxtEME2kU23nzG0F0PDN1El87pErDhSA4WbUvFX6mF4vrOMQbcf3MihnaIvCqtpM2V5/6X6w9nY/OxXK+ZY3UqOQa2C0PfpFBEB2rEYO2vap6tGZ4u19tPFmDbqXwcOFfiFSAkEqBdhB43VXRFvyExqNGM6yy3ObEv/eIhO1xfuSU7GAnB2mb5c6RLIwhCxa2wvG+DdbbSDN613V/aQymXii3OlYOxJygbNPKKVmgFDFrv1unmcpsfIqIrgaG7Hhi6ia6Mw5klWLQtDatTMsVAEaZT4d4b43FHlyjEBTFE1EWByYqNR3Ow/nAOtp7M95owK1Snwq3twzH4ugj0ahF8TV/QMFrs+Ot0IbadzMf2U/n4O8fktV0hk6BrbCB6V4TwLrEBVy0wlNs8Y7Lds4unnC2uMiFduN49JtsTsuMZsukyeG6L5mkdzy21wE8lrxSsz7c8cw4OIqIrg6G7Hhi6ia6sfJMVy/5Kx1d/nkFe6fku0GE6FXokBKFHQiCuTwhCu0g9ZOxuCAA4W1iGX47kYP3hbOxOK/S6TUxCsBaDr4vAoOsi0DU2gF00a5BbasGOUwXYdjIf204WIKO43Gu7VinDDYlBuKllCHq3Cka7CP0VO5d1CdkRejVurJj0jCGbiIio6WPorgeGbqKGYXO48NPBLCzbmY596UVVQoi/So5u8YG4ISEQPRKC0Dk24JppgfGMV1p/KAe/HMnG4Uyj1/brovQYfF0EBl8Xgdbh18aM3VeSIAhILyzDtoqu6NtP5qPogpmjg/yU6NUi2N0S3jKkXiG43ObEnjPnQ/b+c9WH7F4tg8WgzZ4eREREzQtDdz0wdBM1PIvdiZSzxdidVoidaUXYe6aoykzbSpkUHWMMuD4hEDckBOH6+CAYtM1nBtvKM46vP5yNMwVl4japBOiREITB10Xg1vbhiA3S+rCmzY/LJeBotlEcD74ztVCcfd8jOkAjjgfv1TIYYTq1uK3M5sDeM8UXDdmRBrU4szhDNhERUfPn09C9ZcsWDBgwoNptO3fuRI8ePZCWlobExMQq23fs2IEbb7xRXP72228xe/ZspKWlISkpCa+99hpuu+02cbsgCJgzZw4+/fRTFBcX46abbsJHH32EpKSkOteXoZvo6nO6BBzNMmJXWiF2pxVhZ1qhV1d0jzbhOvRIDKzolh6EqCZ2iyjPjOO/HHHPOF75GJVyKfq0CsHg6yJwS7swBPurfFjTa4vN4cL+c8Xu8eAnC7DvbNWeGK3D/dE1NhCn8kw1huzKY7JjgzQM2URERNcQn4Zum82GwsJCr3WzZ8/Gpk2bcOrUKUgkEjF0b9y4Edddd51YLjg4GAqFu2Vr+/bt6Nu3L+bPn4/hw4dj2bJleO2117B371506NABAPDaa69h/vz5WLJkCRITEzF79mwcPHgQR44cgVqtRl0wdBP5nqc78M5UdwjflVaI0xX3aKwsOkCDHgmB6JHoDuGtQv0b3Rjnusw4Pqh9BPq1CYW/qnHMrn2tK7M5sDO1ENtPFWDriXwcyTJWKRMltmQzZBMREVEj615ut9sRHR2Nxx57DLNnzwYAMXTv27cPXbp0qfZ9d999N8xmM9asWSOuu/HGG9GlSxcsXLgQgiAgKioKTz75JGbOnAkAKCkpQXh4OBYvXox77rmnTvVj6CZqnPJKrdhzphA7U4uw+0whDmcaq9xjNkCrwPXxQWIQ7xBl8MmM3gUmKzYdzcX6w9n4gzOON3mFZht2nCrAwYwStAj1Q68WwYgJZMgmIiKi8+qaI69KE8vq1atRUFCAyZMnV9l2xx13wGKxoHXr1nj66adxxx13iNt27NiBGTNmeJUfPHgwVq1aBQBITU1FdnY2kpOTxe0GgwE9e/bEjh07agzdVqsVVuv5Lp5GY9UWDSLyvVCdCkM6RGJIh0gAgMnqQEp6MXamFWJXaiH2nS1CcZkdG4/mYOPRHACAWiFFl9gA95jwhCB0iw9ssNbkc0Vl4vjsC2ccj6+YcXzwdeHoGhvY6Frj6eKC/JQY1ikSwzpF+roqRERE1MRdldD9+eefY/DgwYiJiRHX+fv7480338RNN90EqVSK77//HiNHjsSqVavE4J2dnY3w8HCvfYWHhyM7O1vc7llXU5nqzJ8/Hy+99NIVOTYiunr8VXLcnBSCm5NCAAB2pwuHMkrEMeG70wpRVGbHn6cL8edp9xAXqQRoH6VHj4QgMYiH6i5t7LQgCPg7x4T1h7Ox/jBnHCciIiKi2tUrdD/77LN47bXXLlrm6NGjaNu2rbh87tw5rF+/Ht98841XuZCQEK9W7B49eiAzMxNvvPGGV2t3Q5g1a5bXZxuNRsTGxjboZxLRlaeQSdE1LhBd4wLxYN8WcLkEnM43ubujpxViZ1ohzhWV41CGEYcyjFi0LQ0AkBjih+vjz48LT7jIraJqm3H8+ooZxwdxxnEiIiIiqka9QveTTz6JSZMmXbRMixYtvJYXLVqE4ODgOgXpnj17YsOGDeJyREQEcnJyvMrk5OQgIiJC3O5ZFxkZ6VWmpnHiAKBSqaBScZZgouZGKpWgVZgOrcJ0GN8zDgCQVVKOXWlF2JVaiF1phTieU4rUfDNS8834ds85AO5u7D0SAnF9fBBuSAxCqzB//JVaiPWHsznjOBERERFdlnqF7tDQUISGhta5vCAIWLRoESZOnCjOSH4xKSkpXuG5V69e2LRpE6ZNmyau27BhA3r16gUASExMREREBDZt2iSGbKPRiL/++guPPPJInetJRM1XpEGDOzprcEfnKABASZkde9ILxSB+4FwJ8kqt+OlgNn46WP2wFJ1KjgFtwzD4Os44TkRERET106B/Of76669ITU3FAw88UGXbkiVLoFQq0bVrVwDAypUr8cUXX+Czzz4TyzzxxBPo168f3nzzTQwbNgzLly/H7t278cknnwAAJBIJpk2bhn//+99ISkoSbxkWFRWFkSNHNuShEVETZdAqMLBtOAa2dc8FYbE7ceBcCXaluVvC96QVodTqEGccH9Q+HL1bhnDGcSIiIiK6JA0auj///HP07t3ba4x3ZS+//DLOnDkDuVyOtm3bYsWKFRgzZoy4vXfv3li2bBleeOEFPPfcc0hKSsKqVavEe3QDwNNPPw2z2YwpU6aguLgYN998M9atW1fne3QT0bVNrZDhhkR3t3IAcLoEZBstiNSrOeM4EREREV22q3Kf7saO9+kmIiIiIiKi+mhU9+lu7DzXHXi/biIiIiIiIqoLT36srR2boRtAaWkpAPC2YURERERERFQvpaWlMBgMNW5n93IALpcLmZmZ0Ol0Nd6rtzHw3E/87Nmz7AZ/hfHcNiye34bDc9uweH4bDs9tw+G5bVg8vw2H57Zh8fxeeYIgoLS0FFFRUZBKa550ly3dAKRSKWJiYnxdjTrT6/X8ojQQntuGxfPbcHhuGxbPb8PhuW04PLcNi+e34fDcNiye3yvrYi3cHrwHDhEREREREVEDYegmIiIiIiIiaiAM3U2ISqXCnDlzoFKpfF2VZofntmHx/DYcntuGxfPbcHhuGw7PbcPi+W04PLcNi+fXdziRGhEREREREVEDYUs3ERERERERUQNh6CYiIiIiIiJqIAzdRERERERERA2EoZuIiIiIiIiogTB0ExERERERETUQhm4iIiIiIiKiBsLQTURERERERNRAGLqJiIiIiIiIGghDNxEREREREVEDYegmIiIiIiIiaiAM3UREREREREQNhKGbiIiIiIiIqIHIfV2BxsDlciEzMxM6nQ4SicTX1SEiIiIiIqJGThAElJaWIioqClJpze3ZDN0AMjMzERsb6+tqEBERERERURNz9uxZxMTE1LidoRuATqcD4D5Zer3ex7UhIiIiIiKixs5oNCI2NlbMkzVh6AbELuV6vZ6hm4iIiIiIiOqstiHKnEiNGoTRYsf7v57AhiM5cLkEX1eHiIiIiIjIJ9jSTVdcjtGC+77YiWPZpQCAxBA/3H9TAkZ3j4FWyX9yRERERER07ZAIgnDNN0MajUYYDAaUlJSwe/llOpVnwsTPdyKjuBxBfko4nC4YLQ4AgEGjwISecbivdwLC9Wof15SIiIiIiOjS1TVHstmxHpxOJ+x2u6+r0WgdzizBCz8cBJwO3BCnw6ujOiLAT4H1h3Pw/Z5zyCopx4970rB23xkMaBOG0dfHICns4pMOEFH1FAoFZDKZr6tBRERERLVgSzdqv0IhCAKys7NRXFx89SvXRFjsThSabXAJgFIuQbCfCjLp+QkFBMFdxmR1wOpwievVcin81XKo5DLwFulE9RMQEICIiIhaJ+8gIiIioiuPLd1XkCdwh4WFQavV8g/cCxSX2ZBrtCJEL8BPJUekQeMVuC9UbnOgyGyHyeqAAPc1H4lMhgCtAgaNAtKLvJeI3BcCy8rKkJubCwCIjIz0cY2IiIiIqCYM3bVwOp1i4A4ODvZ1dRoVQRCQW2pFbpkLkCsQpFUiOlADaS0XJdRqIFAP2BwuFJitKDTZYBcE5JW7UGS1IchPhWB/JRQyTq5PVBONRgMAyM3NRVhYGLuaExERETVSDN218Izh1mq1Pq5J4yIIAjKLLSgwWwEAYToVwvXqevUCUMqliDRoEKZTo9BsQ4HJCpvThdxSC/JMVgRoFAjRqaBRMEwQVcfze8lutzN0ExERETVSDN11xC7l57lcAs4WlaGk3H1BIipAgxB/1SXvTyaVIFSnQoi/EsZyO/JMNpTZHCgqs6GozAZ/lRyhOhX8VXL+HIgq4feBiIiIqPFj6KZ6cbhcOFNQBrPVAYlEgthADQK0yiuyb4lEAoNWCYNWCbPVgXyTFcZy99hvk9UBtVyGEJ0SARolx30TEREREVGTwEGzVGc2hwun88wwWx2QSSRIDNZescB9IX+1Avv+2IA2ETqE+KsglUhgcThxrqgcx7JLkWO0wO501b6jqywhIQHvvPOOr6tBRERERESNRLMK3R988AESEhKgVqvRs2dP7Ny509dV8qlJkyZBIpFAIpFAoVAgMTERTz/9NCwWS733ZbE7cSrPBIvdCYVMihah/vBXKxqg1m5ZWVkYOnQolHIZogI0aBepQ6RBA4VMCofLhRyjBceyS3GuqAwWu7PB6lGTxYsXIyAgoMr6Xbt2YcqUKQ3++b4M99nZ2XjsscfQokULqFQqxMbG4vbbb8emTZu8ym3fvh233XYbAgMDoVar0bFjR7z11ltwOr1/Xp5/oxKJBAaDATfddBN+/fVXcXvlf8dKpRKtWrXCvHnz4HA4AABbtmzx2kflR3Z2NgBg7ty54jqZTIbY2FhMmTIFhYWFXnVJSEgQy/n5+aFbt2749ttvxe312c+FP599+/Zh7NixCA8Ph1qtRlJSEh588EH8/fffAIC0tLQaj+PPP/+8hJ8UERERETUGzSZ0r1ixAjNmzMCcOXOwd+9edO7cGYMHDxZvqXOtGjJkCLKysnD69Gm8/fbb+PjjjzFnzpx67cNsdeBUngl2pwsquQwtQ/2gUV76pE02m63WMhEREVCpzo8Tl0mlCNWp0DZCh7ggLbRKGQRBQKHZhr9zSpGab0apxQ5f33Y+NDS0WU+6l5aWhu7du+PXX3/FG2+8gYMHD2LdunUYMGAAHn30UbHcDz/8gH79+iEmJgabN2/GsWPH8MQTT+Df//437rnnnio/p0WLFiErKwvbtm1DSEgIhg8fjtOnT4vbPf+OT5w4gSeffBJz587FG2+84bWP48ePIysry+sRFhYmbr/uuuuQlZWF9PR0LFq0COvWrcMjjzxS5RjnzZuHrKws7Nu3Dz169MDdd9+N7du313s/la1ZswY33ngjrFYrli5diqNHj+J///sfDAYDZs+e7VV248aNVY6je/fuF90/ERERETViQjNxww03CI8++qi47HQ6haioKGH+/Pm1vrekpEQAIJSUlFTZVl5eLhw5ckQoLy+/ovW9Gu677z5hxIgRXuvuvPNOoWvXruKy0+kUXnnlFSEhIUFQq9VCp06dhG+//VbcXlxmE37YtEPoc8sgwc9fJ/j7+ws333yzcPLkSUEQBKFfv37CE0884fUZI0aMEO677z5xOT4+Xpg3b55w7733CjqdTrjvvvsEq9UqPProo0JERISgUqmEuLg44ZVXXhHfA0D44YcfBEEQhF69eglPP/2012fk5OQIcrlcWLF6nbD/bJGw62S2MHHKVCEsIlLQarXCDTfcIGzevPmi56eoqEj45z//KYSEhAg6nU4YMGCAkJKSIm5PSUkR+vfvL/j7+ws6nU7o1q2bsGvXLmHz5s0CAK/HnDlzxGN9++23vY5j4cKFwrBhwwSNRiO0bdtW2L59u3DixAmhX79+glarFXr16iWeT0EQhJMnTwp33HGHEBYWJvj5+QnXX3+9sGHDBnF7v379qny+xx9//CHcfPPNglqtFmJiYoTHHntMMJlM4vYPPvhAaNWqlaBSqYSwsDBh9OjRFz1HFxo6dKgQHR3ttc/K51MQBMFkMgnBwcHCnXfeWaXM6tWrBQDC8uXLvc6R52ctCIKQkZEhnjdBqP7f8a233irceOONgiAI4s/D8/nVmTNnjtC5c2evdTNmzBACAwO91l3487Pb7YJWqxWeffbZS96P2WwWQkJChJEjR1ZbN0+9U1NTBQDCvn37ajyOCzXl309ERERETd3FcmRlzaKl22azYc+ePUhOThbXSaVSJCcnY8eOHVf88wRBQJnN4ZOHcBktuYcOHcL27duhVJ4fhz1//nx8+eWXWLhwIQ4fPozp06fjH//4B3777TcUmKzYdegEJo2+DX5qNTZt2oQ9e/bg/vvvF7v21tWCBQvQuXNn7Nu3D7Nnz8a7776L1atX45tvvsHx48exdOlSJCQkVPveCRMmYPny5V7H/s033yAqKgpjhw9Cmwgd3p73LA7s3YXX3v8M36zfir6Db8eQIUNw9NjxGus0duxY5Obm4ueff8aePXvQrVs33HLLLWJX4QkTJiAmJga7du3Cnj178Oyzz0KhUKB379545513oNfrxZbImTNn1vg5L7/8MiZOnIiUlBS0bdsW48ePx0MPPYRZs2Zh9+7dEAQBU6dOFcubTCbcdttt2LRpE/bt24chQ4bg9ttvR3p6OgBg5cqViImJEVtks7KyAACnTp3CkCFDMHr0aBw4cAArVqzA1q1bxX3v3r0bjz/+OObNm4fjx49j3bp16Nu3r/i5ixcvvuhs2IWFhVi3bh0effRR+Pn5Vdnu6W7/yy+/oKCgoNpzcvvtt6N169b4+uuva/wcz/2nL9YjQqPR1KnHRE3S0tKwfv16r+9CdeRyORQKRY2fVZf9rF+/Hvn5+Xj66aer3V7dMAUiIiIiaj6axezl+fn5cDqdCA8P91ofHh6OY8eOVSlvtVphtVrFZaPRWK/PK7c70f7F9ZdW2ct0ZN5gaJV1/7GtWbMG/v7+cDgcsFqtkEqleP/99wG4z8Mrr7yCjRs3olevXgCAFi1a4I8//sB/3/8Qc9/ujOVLPoPBYMCPK78Vg0Xr1q3rXe+BAwfiySefFJfT09ORlJSEm2++GRKJBPHx8TW+96677sK0adOwdetW9OnTBwCwbNkyjBs3DhKJBDmZGVix9CucTk2DOiAEBSYbYqdMxR+bN+KtDz7B3HkvI9hfBXWl+31v3boVO3fuRG5urtiNfcGCBVi1ahW+++47TJkyBenp6XjqqafQtm1bAEBSUpL4foPBAIlEgoiIiFqPffLkybjrrrsAAM888wx69eqF2bNnY/DgwQCAJ554ApMnTxbLd+7cGZ07dxaXX375Zfzwww9YvXo1pk6diqCgIMhkMuh0Oq/Pnz9/PiZMmIBp06aJ9X333XfRr18/fPTRR0hPT4efnx+GDx8OnU6H+Ph4dO3a1euY2rRpU+NxnDx5EoIgiOejJp4xyu3atat2e9u2bcUyFyorK8MLL7wAmUyGfv36VdkuCAI2bdqE9evX47HHHvPaFhMT47UcHx+Pw4cPi8sHDx6Ev78/nE6nOK/BW2+9VeNx2Gw2vPnmmygpKcHAgQMveT8nTpwQj7suevfuDanU+3qoyWSq03uJiIiIqPFpFqG7vubPn4+XXnrJ19W4KgYMGICPPvoIZrMZb7/9NuRyOUaPHg3AHaLKyspw6623er3HZrOhzXWdAACpfx9B/359a20RrM3111/vtTxp0iTceuutaNOmDYYMGYLhw4dj0KBB1b43NDQUgwYNwtKlS9GnTx+kpqZix44d+PjjjwG4Q5DT6UT7dt6hxmq1whAQhAKzDQVmG/RqBUL8lfBTybF//36YTCYEBwd7vae8vBynTp0CAMyYMQMPPPAAvvrqKyQnJ2Ps2LFo2bJlvY+9U6dO4mvPhaGOHTt6rbNYLDAajdDr9TCZTJg7dy7Wrl2LrKwsOBwOlJeXiy3dNdm/fz8OHDiApUuXiusEQYDL5UJqaipuvfVWxMfHo0WLFhgyZAiGDBmCUaNGiWPQR40ahVGjRtW4//r2sqhP+XHjxkEmk6G8vByhoaH4/PPPvc6b5+KR3W6Hy+XC+PHjMXfuXK99/PHHH9DpdOKyQuE90V+bNm2wevVqWCwW/O9//0NKSkqV4A64L4y88MILsFgs8Pf3x6uvvophw4bVez+Xch4A9/wUNV2wICIiIqKmp1mE7pCQEMhkMuTk5Hitz8nJqbYlctasWZgxY4a4bDQaERsbW+fP0yhkODJv8KVX+DJoFPWbwMzPzw+tWrUCAHzxxRfo3LkzPv/8c/zzn/8UW8/Wrl2L6OhouFwCMovLYbI6oFQpER2gQYCuajfiyqRSaZVQYbfbq61HZd26dUNqaip+/vlnbNy4EXfddReSk5Px3XffVfs5EyZMwOOPP4733nsPy5YtQ8eOHcXgajKZIJPJsGfPHshk58+PIAiQKjWQqRUwWuziQ6OQIa+wBJGRkdiyZUuVz/J09507dy7Gjx+PtWvX4ueff8acOXOwfPnyiwbT6lQOf57u29Wtc7nct0CbOXMmNmzYgAULFqBVq1bQaDQYM2ZMrd2pTSYTHnroITz++ONVtsXFxUGpVGLv3r3YsmULfvnlF7z44ouYO3cudu3aVacuzklJSZBIJNX2HqnM0xPi6NGj6N27d5XtR48eRfv27b3Wvf3220hOTobBYEBoaGiV93guHimVSkRFRUEur/qrKzEx8aLH4Zn5HIAYpF966SW8/PLLXuWeeuopTJo0Cf7+/ggPD6/S5b6u+/HwnI9jx46JPUouJjY2Vtw/ERERETV9zWJMt1KpRPfu3b1uWeRyubBp06Zq/8hVqVTQ6/Vej/qQSCTQKuU+eVxszG1tpFIpnnvuObzwwgsoLy9H+/btoVKpkJ6ejoTEFpAFRCIoKg7xLVqiZ8fWCPZXoVOnTvjjjz+qDdKAuxXaM6YYAJxOJw4dOlSn+uj1etx999349NNPsWLFCnz//fdVbr3kMWLECFgsFqxbtw7Lli3DhAkTxG1du3aF0+lEbm4uWrVqJT6SkpLQMj4GCSF+aBOuQ7Cf+37f5XYnIlu2Q3Z2NorLnUhIbOH1vpCQEHHfrVu3xvTp0/HLL7/gzjvvxKJFiwC4/81deOurK2Xbtm2YNGkSRo0ahY4dOyIiIgJpaWleZar7/G7duuHIkSNex+J5eHoqyOVyJCcn4/XXX8eBAweQlpbmdXuuiwkKCsLgwYPxwQcfwGw2V9leXFwMABg0aBCCgoLw5ptvVimzevVqnDhxAuPGjfNaHxERgVatWlUbuIHzF4/i4uKqDdyX4oUXXsCCBQuQmZnptT4kJAStWrVCREREnb5vNe3HY9CgQQgJCcHrr79e7XbPeSMiIiKi5qlZhG7A3RX4008/xZIlS3D06FE88sgjMJvNXmNlyT15mEwmwwcffACdToeZM2di+vTpePODT3Ds7xM4fng/1n+zCKu+cU90NXXqVBiNRtxzzz3YvXs3Tpw4ga+++grHj7snKBs4cCDWrl2LtWvX4tixY3jkkUfqFCLeeustfP311zh27Bj+/vtvfPvtt4iIiKixpdLPzw8jR47E7NmzcfToUa/Q1rp1a0yYMAETJ07EypUrkZqaip07d2L+/PlYu3YtAEClkCE6UIO2ETpE6NXo038gOnXrgX/cMwZfrPgRfx44hi2//4Hnn38eu3fvRnl5OaZOnYotW7bgzJkz2LZtG3bt2iV2+01ISIDJZMKmTZuQn5+PsrKyy/ipeEtKSsLKlSuRkpKC/fv3Y/z48WIruEdCQgJ+//13ZGRkID8/H4C7W/T27dsxdepUpKSk4MSJE/jxxx/FidTWrFmDd999FykpKThz5gy+/PJLuFwucRz3Dz/8UOu44w8++ABOpxM33HADvv/+e5w4cQJHjx7Fu+++K17g8vPzw8cff4wff/wRU6ZMEcP9559/jkmTJmHMmDHiGPcrKTc3F9nZ2V6Pmi4WAUCvXr3QqVMnvPLKK5f1ubXtx8/PD5999hnWrl2LO+64Axs3bkRaWhp2796Np59+Gg8//LBX+YKCgirH4Rk7TkRERERNT7MJ3XfffTcWLFiAF198EV26dEFKSgrWrVtXZXK1a51cLsfUqVPx+uuvw2w24/kX52LKE09h4btvYeTAnnj03rHYuH4dEhMTAQDBwcH49ddfYTKZ0K9fP3Tv3h2ffvqp2D36/vvvx3333YeJEyeiX79+aNGiBQYMGFBrPXQ6HV5//XVcf/316NGjB9LS0vDTTz9VmUCqsgkTJmD//v3o06cP4uLivLYtWrQIEydOxJNPPok2bdpg5MiR2LVrV5VycpkUYXo12kbqsWr1GtzQ6ya8MONR9Lm+E8aNG4fDx09Bow+ERCpFQUEBJk6ciNatW+Ouu+7C0KFDxbkAevfujYcffhh33303QkNDa2zFvBRvvfUWAgMD0bt3b9x+++0YPHgwunXr5lVm3rx5SEtLQ8uWLcXW4U6dOuG3337D33//jT59+qBr16548cUXERUVBcDdbX7lypUYOHAg2rVrh4ULF+Lrr7/GddddBwAoKSkRL6bUpEWLFti7dy8GDBiAJ598Eh06dMCtt96KTZs24aOPPhLLjRkzBps3b0Z6ejr69OmDNm3a4O2338bzzz+P5cuXX1aPjZq0adMGkZGRXo89e/Zc9D3Tp0/HZ599hrNnz17WZ9e2nxEjRmD79u1QKBQYP3482rZti3HjxqGkpAT//ve/vcomJydXOY5Vq1ZdVv2IiIiIyHckwuXcg6qZMBqNMBgMKCkpqdLV3GKxIDU1FYmJiVCr1T6qYcMwWR04U2CG0yVAJZchMcQPSnmzuQ5TJ4IgwGx1IM9kQ6nlfKuoXCpFoJ8CQX5KqOT1G0dPdLU0599PRERERI3dxXJkZc1iIjWqv5JyG9ILyyEIArRKORKCtZDLrq3ADbjH5/urFfBXK2B1OFFktqGwzA6H04W8UivySq3wV8kR5KeEXqOAtAFaaImIiIiIqPli6L4GFZisyCguBwDo1QrEBWkhlTJMquQyRBg0CNOrUWpxoNDsbv02WR0wWR3nW7+1SqjqOYs8ERERERFdmxi6ryGCICDHaEVuqXtSpiA/923BGmJ8bVMmlUhg0Chg0ChgczhRaLajqMwGO1u/iYiIiIionhi6rxGCICCjqByFZe57PYfr1QjTqRi4a6GUyxBhkCFcrxJbv41erd8SBGiVCPJTQs3WbyIiIiIiugBD9zXA5RKQXlgGo8UOCYCoAA2C/VW+rlaTIpFIoNcooNcoYHO4UFRmQ6HZ3fqdb7Ii32SFX0Xrt0GtYHd9IiIiIiICwNBdZxfeJ7mpcDhdSCsoQ5nNAalEgtggLQwaha+r1aQp5VKxp0Dlsd9mqwNmqwOZUgkC2fpNV0FT/b1EREREdC1h6K6FUqmEVCpFZmYmQkNDoVQqm0yXbJvDiYwiC2xOJ6RSCaICNFBJnLBYnL6uWrOhlAAR/jIEqSUwWuwwltlhd7iQZ7MirxjQKGQwaBTQsfWbriBBEGCz2ZCXlwepVAqlUunrKhERERFRDRi6ayGVSpGYmIisrCxkZmb6ujp15u72bIPTJUAulSDYX4kc87V3S7CrTgBcDifMVgcsdheEitVSCaBVyuGnkkFxDd6ajRqGVqtFXFwcpFL+myIiIiJqrBi660CpVCIuLg4OhwNOZ+NvJd6XXoQ5aw7DbHMgMdgPr4zuiDCd2tfVuubkm6xYfzgbaw9kIcdoEde3i9RjWKdI9G8dCo2SX0G6NDKZDHK5vMn0vCEiIiK6VkkEQRBqL9a8GY1GGAwGlJSUQK/X+7o6l2XtgSxMX5ECm9OFGxKC8OnE62HQcgy3L7lcAraezMfXO9Ox4UgOHC73V06nkmNk12iMuyEO7aOa9r87IiIiIqJrTV1zJEM3mk/oXrwtFS+tOQJBAIZcF4F37unCibwamdxSC77bcw7Ld55FemGZuL5zbADG9YjF7Z2j4Kdi6zcRERERUWPH0F0PTT10C4KAN9Yfx4dbTgEA/nFjHF66owNknLir0XK5BOw4XYBlO9Pxy+Fs2J3ur6GfUoYRXaMx/oY4dIg2+LiWRERERERUE4buemjKodvudGHWyoP4bs85AMDMQa3x6IBWHOfZhOSbrPh+zzl8vTMdaQXnW787Rhsw7oY43NElCv5s/SYiIiIialQYuuuhqYbuMpsD/1q6F1uO50EmleCVUR1wd484X1eLLpEgCPjzdCG+3pmOdYeyYXO678GsVcpwR+cojLshDp1iDLygQkRERETUCDB010NTDN0FJivuX7Ib+88WQ62Q4oPx3XBLu3BfV4uukEKzDSv3nsOynek4nWcW17eP1GNczziM6BIFvZoT5BERERER+QpDdz00tdB9trAME7/YidR8MwK0CnwxqQe6xQX6ulrUAARBwM5Ud+v3T4eyYXO4W781ChluahWMML0aIf4qhPgrEeKvQrCfEiE6FUL8VNBreDspIiIiIqKGwtBdD00pdB/KKMHkxbuQV2pFdIAGS+6/Aa3C/H1dLboKistsWLk3A8t2puNkrqnW8gqZBMF+KoTolO7nyuG80nOovwqBfkooZNKrcBRERERERM0DQ3c9NJXQve1kPh76ag9MVgfaRuiw5P4bEK5X+7padJUJgoC96cU4klmCfJMN+SYr8k1WFFS8LjDZUGp11Hu/gVoFgiuCebC/CqGVWs4rt6CH6JTQKjmxGxERERFd2+qaI/mXcxOx5XguHvxyN+xOATe2CMInE6/nmN5rlEQiQff4QHSPr3lIgcXuRIHZhvxSKwrMVuSX2pBf8Vxg9g7phWYbXAJQVGZHUZkdJ3Nrr4NGIatTC3qwvwoBGgWktdy+zukS4HC54HAKcLgE97LTBYdLqFh3/rXTJcDucrmfna6K93q2uWCvKOPw2kfFs7jvyvt0ievtFftwugCdWo5ArRJBfgoEaJUI1CoR6KdwP2uV0Chl9f3REREREdE1iKG7iegUE4DYQC3aRerx1t2doZLzD36qmVohQ3SABtEBmlrLOl0CispsYgh3P2wouKAF3dOqbnW4UG534mxhOc4Wlte6f5lUgkCtEnKppCL4uuB0ng/ODpeAptjfRiWXIshPWRHIFV6hXFznVxHWte7grldznD0RERFRXZRa7NAq5ZDV0njTFLB7OZpO9/J8kxVBWmWtrYZEDUUQBJhtTrEFPc/Tcl6pBT2/Ujf3knL7JX+WVALIpVLIZRLIpBIoZFLIpBLIpRLIZRL3NulFtskqlqVSyCq9Pl9GArns/LKs0jYJJDBa7Cgus6HQbENRmft1UZkdRWYbHK5L+7Upl0oQoFV4B3WtEgF+CgR5Xl8Q1g0aBeQcb09ERETXiIzicizelorlO8/ijbGdMaRDhK+rVCN2L2+GQvxVvq4CXeMkEgn8VXL4q+RICPGrtbzN4UKh2R3CAVQKxpXDrgSKimCskJ4Pz4314pIgCDBZHSgus6OoIpR7XntCeVGZe517m3t9ud0Jh0uouChhq9dn6tXyalrVz7egh/irkBCiRXyQH7u9ExERUZO0/2wxPtuaip8OZsFZ0cDxy+HsRh2664qhm4gajFIuRYRBjQhD85nwTyKRQKdWQKdWIDZIW+f3WexOdzA3n281LyyzobhSS3phWaXXZhtKLe4J8YwWB4wWB1BQVuvnRBrUSAj2Q0KItuLZD4khfogL0kKtYCAnIiKixsPpErDxaA4+/yMVO9MKxfW9WwbjwT4t0K91qA9rd+UwdBMRXQVqhQyRBg0iDbWPs/dwOF0oLveEcHtFC7p3i3pRmR05RgvS8s0wWhzIKrEgq8SCHacLvPYlkQCRejUSQiqCeLAf4oO1SAzxQywDOREREV1FZTYHvt9zDp9vTUVaRaOCXCrBHZ2j8M8+ibguyuDjGl5ZDN1ERI2UXCatmB2+9qElgiCgqMyO1Hwz0vLNOFNgRmpBGdIqlkutDmSWWJBZYsH2U1UDeZRBg8SQ80Hc00oeF6SFUs4x5URERHT5co0WLNmRhqV/paO4zD33j14tx4Qb43Ffr4Rm1TuyMk6khqYzkRoR0aUQBAEFZps7iOe7g3hqgVkM5Gabs8b3SiVAVIDGK4gnhmgRH+yH2EAGciIiIqrd0SwjPvsjFav3Z8DudMfPuCAt/nlzIsZ0j4Gfqmm2Bdc1RzJ0g6GbiK5dguCe3C2twFyplbzM/brAjLKLBHKZVILoAE1Fd3V3EE+s6L4eE6iBgrOuExERXbMEQcBvf+fhsz9SsfVkvrj++vhAPNAnEbe2j2jytwNj6K4Hhm4ioqoEQUBeqRWpniBe0TruWS63XzyQxwZqzgfxYK04qVuoTgWNQsZ7lhMRETVDFrsTP6Zk4LM/UnEi1wTA3XNuaMdIPHBzIrrGBfq4hlcOQ3c9MHQTEdWPIAjIrQjklburnykoQ1qBGRa766Lvl0gArUIGrUoOP6UMWqUcfirvZ61nvbJSuZrKK+TQqmRNsnXd6RJQbnei3OaExe4UX5dXvLZUeu1dxuXeXqm80yUgyE+JUJ3K/fB3P4fp3a8DtcpGezs+IiJq2grNNny14wy++jNNvD2qn1KGu3vEYfJNCfW660tT0Szu052WloaXX34Zv/76K7KzsxEVFYV//OMfeP7556FUKsVyBw4cwKOPPopdu3YhNDQUjz32GJ5++mkf1pyIqHmTSCQI16sRrlfjxhbBXttcLgE5pRaxRdzTOp5W4F62OlwQBMBsc8JscyLvCtZLKZNCq5LBzxPaqwnpWqXs4gFeKYefUg6NUgaNUga7w1VD6HVeEHqrhuCLh2YnLHYXbM6LX6C4kmRSCUL8lWIgD9Opzwf0C4J6Ux1fR0REV9epPBM+35qK7/ecg9Xh/n9apEGNyTcl4J4b4qBXK3xcQ99r1P9HPXbsGFwuFz7++GO0atUKhw4dwoMPPgiz2YwFCxYAcF9dGDRoEJKTk7Fw4UIcPHgQ999/PwICAjBlyhQfHwER0bVHKpWIt0fr3dJ7m8slwOJwwmx1oszmOP9sc6LMWvFsc6DsguXaynsmZbE5XbCVucQZUZsajcId9DUKGdQKaaXXsgu2nX+tUcigrngtlbhbGvJKrcgrtSK34jnPZEWh2QanS0CO0Yoco7XWuvgpZdWG8QuDerCfEvIm2MOAiIgunSAI+PN0IT774zQ2HcsV13eMNuCBPom4rWNkk+x91lCaXPfyN954Ax999BFOnz4NAPjoo4/w/PPPIzs7W2z9fvbZZ7Fq1SocO3asTvtk93IioqbN5nCh3OaE2eYQw7nZ5kCZ59nmhNla8WxzuMvWEOA96ytPIqeUSauG4GpCrycYiyG54j21hWaNUgaVXNqg49ztThcKTBWB3GRBrvF8IM+rFM5zjdaLjte/kEQCBGmVNbaYVw7qerWcY/mJiJowu9OFtQey8NnW0ziUYQTg/v/ALW3D8WCfRNyQGHRN/Z5vFt3Lq1NSUoKgoCBxeceOHejbt69Xd/PBgwfjtddeQ1FREQIDqw7Ut1qtsFrPX+U3Go0NW2kiImpQSrkUSrkUBu2V68LmcgmwOlxQyCTNoiVXIZMiwqCuuAeq4aJlTVbH+SBeakVeqUUM5JVDer7JCpcAFJhtKDDbcCy79KL7VcqlXmE8KcwfI7tGo3W47goeKRERXWkl5XZ8vTMdi7elIdtoAQCoFVKM6R6D+29KRItQfx/XsHFrUqH75MmTeO+998Su5QCQnZ2NxMREr3Lh4eHitupC9/z58/HSSy81bGWJiKhJk0ol0Chlvq6GT/ir5PBXyZEY4nfRck6XgKIym3dX9tLKLegWcVupxQGbw4WM4nJkFJcDADYcycGHW06hY7QBo7tF444u0QjyU170M4mI6Oo5W1iGL7al4ptdZ2Gu6AEW4q/CpN7xGN8znr+z68gnofvZZ5/Fa6+9dtEyR48eRdu2bcXljIwMDBkyBGPHjsWDDz54WZ8/a9YszJgxQ1w2Go2IjY29rH0SERFda9wTs6kQ4q9Cu8iLl7XYnV7d2XONFvx+Ih+bj+XiYEYJDmaU4D8/HcWANmEY3T0GA9qEQSlv+j0MiIiaoj1nivD51tNYdygbrorByG3CdXigTyLu6BIFlfzavCh9qXwypjsvLw8FBQUXLdOiRQuxy3hmZib69++PG2+8EYsXL4ZUev5/whMnToTRaMSqVavEdZs3b8bAgQNRWFhYbUv3hTimm4iIyDcKTFas3p+J7/eeE8cHAkCQnxJ3dI7C6G4x6BCtv6bGCBIR+YLTJWD94Wx89sdp7E0vFtf3SQrBg31aoE9SCH8XX6DZ3Kc7IyMDAwYMQPfu3fG///0PMpn3VRXPRGo5OTlQKNxj+Z577jmsXLmSE6kRERE1IcezS/H93nP4YV8G8krPz73SOtwfo7vFYFTXaITp1T6sIRFR82OyOvDt7rP4Ylsqzha6h/8oZVKM6BKFB/q0QJsIzrtRk2YRujMyMtC/f3/Ex8djyZIlXoE7IiICgHtitTZt2mDQoEF45plncOjQIdx///14++2363zLMIZuIiKixsPhdOGPk/n4fs85/HIkB7aK+75KJUCfpFCM7h6DQe3DoVaweyMR0aXKKinH4u1pWPZXOkotDgBAoFaBf9wYj3t7xSNMx4uctWkWoXvx4sWYPHlytdsqV/vAgQN49NFHsWvXLoSEhOCxxx7DM888U+fPYegmIiJqnErK7Vh7IAvf7z2HPWeKxPU6tRzDO0VidLcYdI8PZJdHIqI6OpRRgs/+OI01B7LgqBiw3SLED/ffnIjR3WKu2UlEL0WzCN1XC0M3ERFR45eab8bKveewcm+GOAM6ACQEa3Fntxjc2S0aMYFaH9aQiMj3BEGAxe5CqdUOk8UBs9WJUqsdeaVWfL0zHX+eLhTL9kwMwoN9WmBg2zBIpbx4WV8M3fXA0E1ERNR0uFwC/kwtwPd7MvDzoSyUVdzGBgBubBGE0d1icFvHSPipmtSdUYnoGudwusSAbLY6YbLaUWpxwGR1wFTxXGpxwGyteF1pvfhc8XC6ao54MqkEwztF4oGbW6BjjOEqHmHzw9BdDwzdRERETZPZ6sC6Q9n4fu857DhdAM9fNRqFDEM7RGB09xj0ahHMFhwiahA1tSpXDsGVg7LJ4h2WzZXCc7ndWfsH1oNEAvgr5fBXy+Gvcj/fkBCE+3onICpAc0U/61rF0F0PDN1ERERNX0ZxOX7Yew7f781Aar5ZXB9lUIvdz1uE+vuwhkTUmJXbnCgqs6GozIbiMjuKy+wVr20oqnhdIq5zPxstF29VvhRKuRQ61fmw7KeSey37q93Lfir3sk4th79KIW7Xqd3btAoZLzg2MIbuemDoJiIiaj4EQcDe9GJ8v/cc/m9/pjgrLwB0iwvA6O4xGN4pCgaNwoe1pKboXFEZ1hzIQn6pFRqlDGqF5yGFpuK1RiGD6oLlyutVcikn/mtgDqcLxeV2FIvh2Ds8uwO1zSs8F5fZYa24U8Kl8LQq+1UKxzpPSK4cmKtsV3it91PJoJJzIrOmgqG7Hhi6iYiImieL3YmNR3Pw/Z5z+O3vPHgapJRyKW5tH44x3WLQJykEcpnUtxWlRqvUYsfPh7Kxcu85rwmoLpVEAqjlMndol0uhVsrOL1eEdZUY1s+Hd7VXiL9wvbRifzLxWa2UQilr2gFfEASUWh1i63KRJyybbRWh2nu9Z7nyhbb6kkslCNAqEahVIECrEF8HapUwVDwHiuuV0Gvk0KkVbFW+RjF01wNDNxERUfOXW2rBj/sy8f3ecziWXSquD9WpMLJLFO7sFoN2kfw7gACnS8DWk/lYufcc1h/OhsXubgGVSIAbE4PRMcYAq92JcrsTFrur4tnzqH75SndBrgtPwJdJJZBULEskEvczKl7jwnWABBJIK8pCfB8grVweALzWud8nfkal91W7vmI/0ortFf/B6RK8Wqkdl3He9Go5Av2UCNAqEaBReIXlgIpQHXjBsr9K3qQvVNDVxdBdDwzdRERE1w5BEHA404jv957DjymZKDTbxG3XRekxulsMRnSJQrC/yoe1JF84lm3Eyr0ZWLUvA7mlVnF9i1A/jO4Wg5FdoxF9iRNQ2Z2VwrjNBYvDiXKbe9kT3s+/9l5nsVeUdbhQbnPC6nmvuI9K5exO+CDfNyi1QloRjCvCs98FLdCaivBcsT5Ao4BBo2APFmpwDN31wNBNRER0bbI5XNhyPBff7z2HX4/lwu50/1kkl0rQv00YxnSPxoC2YRxj2YzllVrxY0oGVu7NwJEso7g+QKvAHZ3dPSA6xxiaTOunIAiwOwWU251ia7xLcK8XAAgXvoZQsQ5wVcQCr/Vwr3dvOr/OU95TFheux/nPQUUZlwte6z37dAnnP1MmkVTqxu1ugVYr+P2jxomhux4YuomIiKjIbMPq/e7u5wfOlYjrPeFrRJdodIsLaDLhi2pmsTux4UgOVu49h99P5ItdvxUyCQa2DcOd3WIwoE0YlHK2lBJRzRi664Ghm4iIiCo7kVOK7/aew6p9Gcgxnu9mHB2gwW0dIzCsU1STav0kd+vqrrQirNx7DmsPZKHUen6yrS6xARjdLRrDO0Uh0E/pw1oSUVPC0F0PDN1ERERUncoTam08kgOzzSluiwnUYFinSAzvGIUO0XoG8EYqLd+Mlfsy8MO+czhbWC6ujw7QYFTXaIzqFo2WvH87EV0Chu56YOgmIiKi2ljsTmw5noe1B7Ow6WgOyioF8PhgLYZ1jMSwTpFoH8kA7mslZXasOZiJlXszsOdMkbjeTynDbR0jcWe3GPRMDOItnojosjB01wNDNxEREdVHuc2JzcdzsfZAFjYdyxFvKQUAiSF+GNYxEsM7R6JNuI4B/CqxO1347XgeVu47h41HcmFzun8mUglwc1IoRneLxqD2EdAoOSkXEV0ZDN31wNBNREREl6rM5sCmo+4Avvl4LqyO8wG8ZagfhnWKwvBOkWgdrvNhLZunyrd/W52SiYJKt39rE67D6O7RGNElGuF6tQ9rSUTNFUN3PTB0ExER0ZVgsjqw6WgO1h7Iwpa/82CrFMBbh/tjWMcoDOsUiVZhHEN8ObJLLFiVkoGVe8/h7xyTuD7EX4kRXaJxZ7dodvMnogbH0F0PDN1ERER0pZVa7NhYEcB/+ztPvAc4ALSN0GF4p0gM6xSFxBA/H9ay6SizObD+cDZW7s3A1pP58PwFq5RLMah9OEZ3i0GfpBDIZbzNFxFdHQzd9cDQTURERA2ppNyODUdysPZAJv44kQ+H6/yfX+0j9e5Z0DtFIj6YAbwyl0vAn6cL8P3eDPx8KMtr8robEoJwZ7doDO0YCYNG4cNaEtG1iqG7Hhi6iYiI6GopLrPhl8M5WHMwC9tO5sNZKYB3jDZgWKdIDOsYidggrQ9r6Vsnc01YWXGf9MwSi7g+PliLO7vGYFTXaMQFX7vnh4gaB4buemDoJiIiIl8oNNvwy+FsrDmQhe2n8lEpf6NzbACGd4zEbZ0iER2g8V0lr5JCsw3/tz8TK/eew/5zJeJ6vVqO4Z2jMLpbNLrFBXKcNhE1Ggzd9cDQTURERL5WYLJi3eFsrD2QhT9PF3gF8K5xARjeKQq3dYxApKHpBnCL3YkCsw0FJisKTDbkVTzvTS/C5mO5Yrd7uVSC/m1CcWe3GAxsGwa1grf5IqLGh6G7Hhi6iYiIqDHJK7Vi3aEsrDmQhZ1phaj819r18YEY3ikSQztG+vxWWIIgwFjuQL7ZivxSqxio80zu5/yKUF1gtiG/1IpSq+Oi++sYbcCd3aJxe+cohPirrtJREBFdGobuemDoJiIiosYq12jBz4eyseZAJnalFYnrJRKgR0IQhneKxJAOEQjTXZkAbne6UGi2Ia8iRLvDtHfL9PkwbfWalb0uFDIJgv1UCNEp3c/+KsQEajCM9zInoiaGobseGLqJiIioKcguseCng1lYezALe86cD+BSCdAzMRjDKgJ45VZiQRBgsjrEsJxfEZbzSyuePesqnkvK7fWul04tR4i/CsF+Svezv/s5xF+JYH+V1zq9Ws5x2UTULDB01wNDNxERETU1GcXl+Pmguwt6ytlicb1UAnSJDYDDJYhB2+pw1WvfMqkEQX7ng7MnUAdXWvYE6SA/JcdcE9E1iaG7Hhi6iYiIqCk7W1gmtoAfqDTzd2V+ShmCL2iF9g7T59cZNApIpWyNJiK6GIbuemDoJiIiouYivaAMe9ILoVMpxIAd7K+EVin3ddWIiJqVuuZI/vYlIiIiakbigrWIC9b6uhpERFRB6usKEBERERERETVXbOmGe1ZPwN09gIiIiIiIiKg2nvxY24hthm4ApaWlAIDY2Fgf14SIiIiIiIiaktLSUhgMhhq3cyI1AC6XC5mZmdDpdI36vpFGoxGxsbE4e/YsJ3y7wnhuGxbPb8PhuW1YPL8Nh+e24fDcNiye34bDc9uweH6vPEEQUFpaiqioKEilNY/cZks3AKlUipiYGF9Xo870ej2/KA2E57Zh8fw2HJ7bhsXz23B4bhsOz23D4vltODy3DYvn98q6WAu3BydSIyIiIiIiImogDN1EREREREREDYShuwlRqVSYM2cOVCqVr6vS7PDcNiye34bDc9uweH4bDs9tw+G5bVg8vw2H57Zh8fz6DidSIyIiIiIiImogbOkmIiIiIiIiaiAM3UREREREREQNhKGbiIiIiIiIqIEwdBMRERERERE1EIZuIiIiIiIiogbC0E1ERERERETUQBi6iYiIiIiIiBoIQzcRERERERFRA2HoJiIiIiIiImogDN1EREREREREDYShm4iIiIiIiKiByH1dgcbA5XIhMzMTOp0OEonE19UhIiIiIiKiRk4QBJSWliIqKgpSac3t2QzdADIzMxEbG+vrahAREREREVETc/bsWcTExNS4naEbgE6nA+A+WXq93se1ISIiIiIiosbOaDQiNjZWzJM1YegGxC7ler2eoZuIiIiIiIjqrLYhypxIjYioEovdid/+zoPRYvd1VYiIiIioGWBLNxFRhW0n8/HCqkNIzTdDp5bjvl4JuP/mRAT5KX1dNSIiIiJqoiSCIAi+roSvGY1GGAwGlJSUsHs50TWowGTFf346ipV7MwAACpkEdqf7V6NGIcP4nnGY0rcFwvVqX1aTiIiIiBqRuuZItnTXg9PphN3OLqdEzYUgCFh/OBsf/3YKRosD0XoZRnaOwqSbEpGSXoSlO9NxIseEdfvTsengOQzuEIF7esQiMkDj66p7USqVF71NBRERERH5Dlu6UfsVCkEQkJ2djeLi4qtfOSJqEHanC8VldlgdLgDu1u1ArRJKuXd4tdidKLU4xHISABqlDDq1HApZ4wi6UqkUiYmJUCrZDZ6IiIjoamFL9xXkCdxhYWHQarW1zk5HRI2XSxBQaLah0GyDwV+ARCJBiL8SAVolpBf5bpfZHCg022C2OgAAAgClSo5gPyXUSt/9KnW5XMjMzERWVhbi4uL4+4mIiIiokWHoroXT6RQDd3BwsK+rQ0SXwWR1IKO4HFaHAMgU0KsViA5QQymX1fpetRoI0rvDd16pFSXldpidgNnogE4tQZhOBT+Vb36lhoaGIjMzEw6HAwqFwid1ICIiIqLqMXTXwjOGW6vV+rgmRHSpHE4XskssKCyzAQDkUimiAtQwaBT1bhnWKuWID5bDYncit9SKkjIbSi12lFrs8FPJEaZTwV8lv6otzp5u5U6nk6GbiIiIqJFh6K4jdtkkanoEQUBxuR1ZxRY4XO4x2UF+SkTo1ZBf5nhstUKGuCAtrHoV8kqtKCqzw2x1INXqgFYpQ6hODb366oRv/n4iIiIiarwYuomoWbI6nMgoKoepYgy2Wi5DdKDmincBV8lliAnUIkznQr7JikKzDWU2J84UmKFWyBCmU11SizoRERERNQ+NY+pdogtIJBKsWrXK19Wot4SEBLzzzju+rsY1zSUIyDVacCLHBJPVAYlEggi9Gq3C/Rt0zLVSLkVUgAZtInQI06kgk0hgsTuRXliG4zmlKDRb4eLNIoiIiIiuOQzdzdikSZMgkUggkUigUCiQmJiIp59+GhaLxddVq1VWVhaGDh3q62rUaPHixQgICKiyfteuXZgyZUqDf76vwv2kSZMwcuRIr2WJRIJXX33Vq9yqVauqtOwKgoBPPvkEPXv2hL+/PwICAnD99dfjnXfeQVlZmViusLAQ06ZNQ3x8PJRKJaKionD//fcjPT29Sl0kEgkefvhhcZ3Z6sDJXBMef2wqOsYE4KWZj6J1mD/C9GrcP3my+H2o/BgyZIj4/gvPa0JCAiQSCf7880+vz542bRr69+8vLs+dO1fcn0alRIeWsXh43O348X+fwmW3weZw4VxROY5nl+KmPn2rrYfnOPbv3w+lUonVq1d7feb3338PtVqNQ4cOXeQnRERERESNzSWH7vnz56NHjx7Q6XQICwvDyJEjcfz4ca8yFosFjz76KIKDg+Hv74/Ro0cjJyfHq0x6ejqGDRsGrVaLsLAwPPXUU3A4HF5ltmzZgm7dukGlUqFVq1ZYvHhxlfp88MEHSEhIgFqtRs+ePbFz585LPbRmZciQIcjKysLp06fx9ttv4+OPP8acOXN8WiebzVZrmYiICKhUqqtQmysrNDT0mpt0T61W47XXXkNRUdFFy917772YNm0aRowYgc2bNyMlJQWzZ8/Gjz/+iF9++QWAO3DfeOON2LhxIxYuXIiTJ09i+fLlOHnyJHr06IHTp0977TM2NhbLly9HqdmMc0VlOJVnQkmpGT//+B1iYuOgUyugUpyfmdzzfaj8+Prrr2s9vmeeeabW83DdddchKysL6enp2Lx5M+4aOxbvv70A/xwzFDqpAwqZFHanCzaHC2Mm3IeDf6fiXEaGWI/XX38dANC5c2e8+OKLmDJlCgoKCgAAubm5ePjhh/HSSy+hQ4cOtdaFiIiIiBqPSw7dv/32Gx599FH8+eef2LBhA+x2OwYNGgSz2SyWmT59Ov7v//4P3377LX777TdkZmbizjvvFLc7nU4MGzYMNpsN27dvx5IlS7B48WK8+OKLYpnU1FQMGzYMAwYMQEpKCqZNm4YHHngA69evF8usWLECM2bMwJw5c7B371507twZgwcPRm5u7qUeXrOhUqkQERGB2NhYjBw5EsnJydiwYYO43eVyYf78+UhMTIRGo0Hnzp3x3Xffee3j8OHDGD58OPR6PXQ6Hfr06YNTp04BAPr3749p06Z5lR85ciQmTZokLickJODll1/GxIkTodfrMWXKFNhsNkydOhWRkZFQq9WIj4/H/PnzxfdU7l7eu3fvKqEnLy8PCoUCv//+OwDAarVi5syZiI6Ohp+fH3r27IktW7Zc9NwUFxfjgQceQGhoKPR6PQYOHIj9+/eL2/fv348BAwZAp9NBr9eje/fu2L17N7Zs2YLJkyejpKREbKWcO3eueKyVW0olEgk+/vhjDB8+HFqtFu3atcOOHTtw8uRJ9O/fH35+fujdu7d4PgHg1KlTGDFiBMLDw+Hv748ePXpg48aN4vb+/fvjzJkzmD59uvj5Hlu3bkWfPn2g0WgQGxuLxx9/3Os7+eGHHyIpKQlqtRrh4eEYM2bMRc9RXSQnJyMiIsLr53ehb775BkuXLsXXX3+N5557Dj169EBCQgJGjBiBX3/9FQMGDAAAPP/888jMzMTGjRsxdOhQxMXFoW/fvli/fj0UCgUeffRRr/1269YNUdEx+GjR1yg0uy/m/Pnrz4iPj0f3bl2r1MPzfaj8CAwMvOjxTZkyBX/++Sd++umni5aTy+WIiIhAVFQUOnbsiMceewy//fYbDh06hM8/fAdtInSIDtBAIpFApdbApQlAMfwATQBCQsOg1+vFfc2aNQtxcXHi8T700ENISkrCzJkzL1oHIiIiImp8Ljl0r1u3DpMmTcJ1112Hzp07Y/HixUhPT8eePXsAACUlJfj888/x1ltvYeDAgejevTsWLVqE7du3i101f/nlFxw5cgT/+9//0KVLFwwdOhQvv/wyPvjgA7E1dOHChUhMTMSbb76Jdu3aYerUqRgzZgzefvttsS5vvfUWHnzwQUyePBnt27fHwoULodVq8cUXX1zOuamRIAgoszl88hAuY0zooUOHsH37dvH2QoC7x8KXX36JhQsX4vDhw5g+fTr+8Y9/4LfffgMAZGRkoG/fvlCpVPj111+xZ88e3H///VV6I9RmwYIF6Ny5M/bt24fZs2fj3XffxerVq/HNN9/g+PHjWLp0KRISEqp974QJE7B8+XKvY1+xYgWioqLQp08fAMDUqVOxY8cOLF++HAcOHMDYsWMxZMgQnDhxosY6jR07Frm5ufj555+xZ88edOvWDbfccgsKCwvFz42JicGuXbuwZ88ePPvss1AoFOjduzfeeecd6PV6sZXyYmHIc8EhJSUFbdu2xfjx4/HQQw9h1qxZ2L17NwRBwNSpU8XyJpMJt912GzZt2oR9+/ZhyJAhuP3228Xu1StXrkRMTAzmzZsnfj7gDutDhgzB6NGjceDAAaxYsQJbt24V97179248/vjjmDdvHo4fP45169ahb9++4ucuXrz4kib7kslkeOWVV/Dee+/h3Llz1ZZZunQp2rRpgxEjRlTZJpFIYDAY4HK5sHz5ckyYMAERERFeZTQaDf71r39h/fr14s/H5RJQZnNi2JjxWLnif1DJZWgR6o8fv1mK+ydPrvdx1CQxMREPP/wwZs2aBVfFDOh11bZtWwwdOhQrV66EVCJBsL8KWqUM/io5VHIZnC4BuaUWHMsuRWZxOexO9/5lMhmWLFmCH3/8EePHj8f69euxePFiyGS130+ciIiIiBqXKzarUElJCQAgKCgIALBnzx7Y7XYkJyeLZdq2bYu4uDjs2LEDN954I3bs2IGOHTsiPDxcLDN48GA88sgjOHz4MLp27YodO3Z47cNTxtO6arPZsGfPHsyaNUvcLpVKkZycjB07dlRbV6vVCqvVKi4bjcZ6HWu53Yn2L66vvWADODJvMLTKuv/Y1qxZA39/fzgcDlitVkilUrz//vsA3OfhlVdewcaNG9GrVy8AQIsWLbB161Z8/PHH6NevHz744AMYDAYsX75cvP9v69at613vgQMH4sknnxSX09PTkZSUhJtvvhkSiQTx8fE1vveuu+7CtGnTxFZcAFi2bBnGjRsHiUSC9PR0LFq0COnp6YiKigIAzJw5E+vWrcOiRYvwyiuvVNnn1q1bsXPnTuTm5ord2BcsWIBVq1bhu+++w5QpU5Ceno6nnnoKbdu2BQAkJSWJ7zcYDO4Jui4Ih9WZPHky7rrrLgDAM888g169emH27NkYPHgwAOCJJ57A5EohsXPnzujcubO4/PLLL+OHH37A6tWrMXXqVAQFBUEmk0Gn03l9/vz58zFhwgTxu5GUlIR3330X/fr1w0cffYT09HT4+flh+PDh0Ol0iI+PR9eu51uDDQYD2rRpU+vxVGfUqFHo0qUL5syZg88//7zK9hMnTtS677y8PBQXF6Ndu3bVbm/Xrh0EQcDfJ06gZfvOKLHY4XC6MHz03XjvtXlQWgpQkC3Btm3bsHz58mp7Oni+D5U999xzeO655y5atxdeeAGLFi3C0qVLce+991607IXatm0rdp/3+OLTj/G/JYsAAIIACABmv/oWht95N4K0CoTqVGjXrh2mTZuGV199Fa+99tolfe+IiIiIyPeuSOh2uVyYNm0abrrpJnG8YXZ2NpRKZZXJpsLDw5GdnS2WqRy4Pds92y5Wxmg0ory8HEVFRXA6ndWWOXbsWLX1nT9/Pl566aVLO9gmZsCAAfjoo49gNpvx9ttvQy6XY/To0QCAkydPoqysDLfeeqvXe2w2mxjGUlJS0KdPHzFwX6rrr7/ea3nSpEm49dZb0aZNGwwZMgTDhw/HoEGDqn1vaGgoBg0ahKVLl6JPnz5ITU3Fjh078PHHHwMADh48CKfTWSWUWK1WBAcHV7vP/fv3w2QyVdleXl4udvWeMWMGHnjgAXz11VdITk7G2LFj0bJly3ofe6dOncTXnn+nHTt29FpnsVhgNBqh1+thMpkwd+5crF27FllZWXA4HCgvL68ykVh1x3TgwAEsXbpUXCcIAlwuF1JTU3HrrbciPj4eLVq0wJAhQzBkyBCMGjVKHIM+atQojBo1qt7H5/Haa69h4MCB1bb616eHRm1lzxWWQVtiAQRAJpWgZ7sEDBs2DF8uWQJBEDBs2DCEhIRU+17P96Eyz4XCiwkNDcXMmTPx4osv4u67767zsQDu47mwB8GECRPw/PPPi9tNNgekmgAIgoACsw2FZjsULiuWr1gBrVaLP/74A08//XS9PpeIiIiIGocrErofffRRHDp0CFu3br0Su2tws2bNwowZM8Rlo9GI2NjYOr9fo5DhyLzBDVG1On12ffj5+aFVq1YAgC+++AKdO3fG559/jn/+858wmUwAgLVr1yI6OtrrfZ7WX41Gc9H9S6XSKiHJbrdXW4/KunXrhtTUVPz888/YuHEj7rrrLiQnJ1cZT+4xYcIEPP7443jvvfewbNkydOzYUQyuJpMJMpkMe/bsqdL99sJWTQ+TyYTIyMhqW0M9F4rmzp2L8ePHY+3atfj5558xZ84cLF++vN7BtPIFC0/4qm6dp+vyzJkzsWHDBixYsACtWrWCRqPBmDFjap2AzmQy4aGHHsLjjz9eZVtcXByUSiX27t2LLVu24JdffsGLL76IuXPnYteuXdXOxF5fffv2xeDBgzFr1iyvMf2Au3dETRfBPEJDQxEQEICjR49W2eZ0ufDX3gOQSCQIj0mATCqBViWHxC6HWiHD/fffL3aj/+CDD2r8jMrfh/qaMWMGPvzwQ3z44Yf1et/Ro0eRmJjotc5gMFSphyAIMNucyDVaYLI68OLzz0IqV+K7nzbhziED8OWXX2LixImXVHciIiIi8p3LvmXY1KlTsWbNGmzevBkxMTHi+oiICNhsNhQXF3uVz8nJEbvERkREVJnN3LNcWxm9Xg+NRoOQkBDIZLJqy9TU9VelUkGv13s96kMikUCrlPvkcSljbj2kUimee+45vPDCCygvL0f79u2hUqmQnp6OVq1aeT08FyE6deqEP/74o9ogDbiDkmdMMeCeHK+utzTS6/W4++678emnn2LFihX4/vvvxfG6FxoxYgQsFgvWrVuHZcuWYcKECeK2rl27wul0Ijc3t8px1PRvoFu3bsjOzoZcLq/ynsqtpK1bt8b06dPxyy+/4M4778SiRe4uwUqlEk6ns07HWV/btm3DpEmTMGrUKHTs2BERERFIS0vzKlPd53fr1g1HjhypcjytWrUSx/HL5XIkJyfj9ddfx4EDB5CWloZff/31itX91Vdfxf/93/9VGdoxfvx4/P333/jxxx+rvEcQBJSUlEAqleKuu+7CsmXLxJ4ugiCgpNyGA2l5WPTZJ+jdbyASosPRJlwHlfz8r68hQ4bAZrPBbreL3favNH9/f8yePRv/+c9/UFpaWqf3HDt2DOvWrRN7l1yMRCKBv0qOFqH+OHPgT/yw/Cu8/NaHiG7ZFv+a+Twef2IaTqWdvdzDICIiIqKr7JJDt2fypx9++AG//vprlZac7t27Q6FQYNOmTeK648ePIz09XRw/3KtXLxw8eNBrlvENGzZAr9ejffv2YpnK+/CU8exDqVSie/fuXmVcLhc2bdoklqHzxo4dC5lMhg8++AA6nQ4zZ87E9OnTsWTJEpw6dQp79+7Fe++9hyVLlgBwX1QxGo245557sHv3bpw4cQJfffWVeHu4gQMHYu3atVi7di2OHTuGRx55pMqFluq89dZb+Prrr3Hs2DH8/fff+PbbbxEREVFji6ufnx9GjhyJ2bNn4+jRoxg3bpy4rXXr1pgwYQImTpyIlStXIjU1FTt37sT8+fOxdu3aaveXnJyMXr16YeTIkfjll1+QlpaG7du34/nnn8fu3btRXl6OqVOnYsuWLThz5gy2bduGXbt2ieONExISYDKZsGnTJuTn53vdZ/pyJSUlYeXKlUhJScH+/fsxfvz4KhN4JSQk4Pfff0dGRgby8/MBuMeLb9++HVOnTkVKSgpOnDiBH3/8UWwBXrNmDd59912kpKTgzJkz+PLLL+FyucSx1j/88IM4fv1SdezYERMmTMC7777rtf6uu+7C3XffjXHjxuGVV17B7t27cebMGaxZswbJycnYvHkzAOCVV15BREQEbr31VqxesxY7DvyNlWs34IFxo+B02PHhhx8gNkgLucz7V5dMJsPRo0dx5MiRi042ZrVakZ2d7fXwnL+6mDJlCgwGA5YtW1Zlm8PhQHZ2NjIzM3Hw4EG899576NevH7p06YKnnnrKq2xZWVmVenhuuWY0GvHow1Pw1FNPYdTgfgjQKDHxwX8hMak17n/wQZzKM6HUYr+sSRWJiIiI6CoSLtEjjzwiGAwGYcuWLUJWVpb4KCsrE8s8/PDDQlxcnPDrr78Ku3fvFnr16iX06tVL3O5wOIQOHToIgwYNElJSUoR169YJoaGhwqxZs8Qyp0+fFrRarfDUU08JR48eFT744ANBJpMJ69atE8ssX75cUKlUwuLFi4UjR44IU6ZMEQICAoTs7Ow6HUtJSYkAQCgpKamyrby8XDhy5IhQXl5+KafJp+677z5hxIgRVdbPnz9fCA0NFUwmk+ByuYR33nlHaNOmjaBQKITQ0FBh8ODBwm+//SaW379/vzBo0CBBq9UKOp1O6NOnj3Dq1ClBEATBZrMJjzzyiBAUFCSEhYUJ8+fPF0aMGCHcd9994vvj4+OFt99+26sOn3zyidClSxfBz89P0Ov1wi233CLs3btX3A5A+OGHH7ze89NPPwkAhL59+1Y5JpvNJrz44otCQkKCoFAohMjISGHUqFHCgQMHajw/RqPx/9m77/CoyryN49/paTMJ6QlJSICE3jvSVBRUUCwoiAsi1l2s6KrrKq64oqyCYkEsFN1FxAKvAqIIIgoIAaR3CCSQRhLSM/28f0wyZEgoAcKk/D6XuTJzznPOPHPIjHPP05RHH31UiY6OVnQ6nRIbG6uMGTNGSU1NVSwWizJq1CglNjZW0ev1SnR0tDJx4kSPv4OHH35YCQkJUQBl8uTJ1T7XM59HSkqKAih//vmne9svv/yiAMqpU6fcZa6++mrF19dXiY2NVd577z1l4MCByuOPP+4+ZsOGDUrHjh0Vg8GgVH4Zb9q0SbnuuuuUgIAAxd/fX+nYsaPy73//W1EURfntt9+UgQMHKk2aNFF8fX2Vjh07Kl9++aX72Llz5yrne0s482+qur+xlJQURa/XVzmXw+FQZs2apfTo0UPx8/NTTCaT0q1bN+Wdd97xeN/Izs5W7n/or0pkdIyi1emUkLBw5a67/6KkpBw9Z13OdObf4bhx4xRcc5Z5/LRq1cpd5sx/v+r+dhcsWKAAysCBA93bJk+e7D6fRqNRgoODlX79+ikzZsxQzGazx/EDBw6sth5DhgxRFEVRxo8fr7Rv316xWCzuY8xWu7J203bFx9dPeXXGLGV72inlYFaRkl9qVZxOZ71+nxJCCCGEqK/OlSMrUynKxTWXnK2b89y5c93jOc1mM5MmTeKLL77AYrEwZMgQPvjgA48uv8eOHeORRx5hzZo1+Pv7M27cOF5//XW02tPDzdesWcOTTz7Jnj17iImJ4cUXX6wyZvS9997jP//5D5mZmXTu3JmZM2fSq1evC3ouhYWFBAYGUlBQUKWrudlsJiUlhYSEBHx8fC7ofEKIi1NmtXP8VBllNlfXeX+9lqZNfPGp4VwGDZXV7iSn2EJeiRVn+Vu3j05DoF4hN+M4zZs3l/cpIYQQQogr5Fw5srKLDt0NiYRuIbzL4VTIKjSTW2xBwTUreWSgD8F++kuax6ChsjnKw3exFYeioNit5GQcZ9UJhX6torm6VTi+evmiQgghhBCiNl1o6L5s63QLIcTFKCyzcSK/DJvDNW49yFdPVJAPOs0lz/PYYOk0aqICfQkLMJBbYiU3345TgV/3n2TB5kx8dRquaRPOTR2iJIALIYQQQniZhG4hhFfY7E7SC8ooKHPNjK/Xqmka5IvR59LWhG9MtBo1ESYfTDoFW4GBO7vH8tW2LI6fKmPZjgyW7ciQAC6EEEII4WUSuoUQV5SiKOSWWMkqMONQFFSoCDXqiTD6oFZLV/KLoVKp0GvVPDQwgceub8uO4wUs35nBsp0Z1QbwYR2iGCQBXAghhBDiipDQLYS4YsqsDk7kl1FqtQPgp9fSNMhXwt9lpFKp6BQbRKfYIJ67obU7gC/dkcGJ/NMB3E+v4ZrWrhZwCeBCCCGEELVHQvcFkvnmhLh4DqdCdpGZnCIrCgoaVflEaf4yUdrlcLb3p+oC+LKdrtB9Ir+MpTtcYVwCuBBCCCFE7ZHQfR46nWt8aWlpKb6+vl6ujRD1i83hJL/USm6xFWv5RGmBvjqig3xlorTLyGq1AqDRnD0sVw7gz0sAF0IIIYS4YmTJMM4/1XtGRgb5+fmEh4fj5+cnLXNCnIOiKJRa7eSX2iixOtytsFq1mgiTgQCZKO2ycjqdpKeno9PpiIuLq/H7k6IobK8YA14ewCtUBPBhHV0BXNZLF0IIIYQ4TdbproHzXSxFUcjMzCQ/P//KV06IesLhdIXtEosDu/P024peq8Jfr8VXr0EtX1jVCrVaTUJCAnq9/pLOc74Afm2bCG7qECkBXAghhBACCd01cqEXy+FwYLPZrmDNhKjbnE6FzcdOsXxnBusP5+AoD9v+ei3Xtgnnxo5RJIYbvVzLhk+v16NWX97u+hUBfNmOdJbvzGx0AVxRFIosdnKLrfjo1Bh9dPjrNdLTSQghhBBuErpr4EIvlhDCJavQzFeb01iYnMbxU6fDWJe4IEb3jGNYxyj89DJlREPRkAJ4RZjOLjSTXWghq8hMVqHFfTu70Ex2kYWsQjNmm9PjWLUKAgxajD46jD5aTOW/A3y0GH1Obzf66DBVs83ooyVAr5Wl8YQQQogGQkJ3DUjoFuL8HE6FtQdP8sXGVFbty3a3aht9tNzeNYZRPWNpHSmvn4ZOURS2peWzfGdGlQDur9dwTZuI8knYwq5oAK8uTGcXWsgqv33SHbCrhulz8ddrsDqc2ByX53+VKhUE6M8M5FXDuam6wG5wBf0AHy0aCe5CCCGE10norgEJ3UKcXUZBGYuSj7Noc5pHwOrerAmje8ZxY4comeG6kTpfAL+2TQQ3XmIAPx2mLR6t0FmFFrKLPAN2mc1xwec1+miJMPkQYTIQbvQhvPx3hMlAhMmHcKPrvq9eg6IoWOxOCs02isz28h+bx+/CaradebtiBv/LwV+vqTa0B/npiG3iR7MQf+JD/YgL9pNeJ0IIIUQtkdBdAxK6hfBkdzhZs/8kC5NTWb0vm4p50QJ9ddzeNYbRPWNJjJCx2uK0mgZwRVEottg9w3OlUJ1dvj3rIsN0uLE8PJ8jTF9pZpvjrKG82kBvqbzNtd1ir3lwjzAZaBbsT7MQP+JDXb+bBfvTLNQPk6wmIIQQQlw0Cd01IKFbCJcT+WV8mZzGouQ0MgvN7u09E4K5u2ccQ9tH1vkxu8L7KgL4sh0ZLN+ZQXrB6b8lf72GMKPhsobpyr8beq8Li91B8RlBvHIre16JldS8Uo7llnA0t5SCsnNP/hnsr3eF8ZDyMB5S3koe4k8TP51MHCeEEEKcg4TuGpDQLRozm8PJ6n3ZLNyUypoDJ6l4R2jip+OObjHc1SOOluEB3q2kqLcUReHPtHyWVxPAwRWmK4K0uyXa1PjCdG3JL7VyLLeUo7klHr+P5ZaSU2w557FGHy3xIf7EhfgRXymMx4f4EWY0SCAXQgjR6EnorgEJ3aIxSssrdbVqb04ju+j0h+8+zUMY3SuOIe0iMGgl6IjLR1EUdp0opNRqJzLQR8K0lxVb7ByrFMZTK4XyjDO+HDmTr07jbhk/HcxdreVRgb4y0ZsQQohGQUJ3DUjoFo2FzeHk5z1ZLNiUyu+Hctyt2iH+eu7oHsOoHnEkhPp7t5JCCK8z2xzl3dQruqqfDucnTpW553mojl6jJjbYl2blITy+0u+mTXzRaS7vmvJCCCGEt1xojpQpTYVoBI7llrAwOY2vNh/36FLaPzGUUT3iuK5tBHqtfBAWQrj46DQkRRhJqmbCRKvdyYn8MlcQz3GNHT+WW8KxvFLS8kqxOpwcPlnC4ZMlVY7VqFU0DfJ1h/DmYf60jTLRJtokk7oJIYRosKSlG2npFg2T1e7kpz2ZfLEplXWHct3bQwMM3Nk9hrt6xNIsRFq1hRCXj8OpkJ5fdrrLel4pR3PKx5HnlZxzjfS4YD/aRploG22ibZSJdk1NRJp8ZOy4EEKIOku6l9dAfQjdDqfCnbM30K9lKHd0iyE22M/bVRJ11JGTxXyZnMbXW46TW2IFQKWCAYlhjO4Zy7VtIqR7pxDiinM6FbKLLO7x4ym5JRzMKmZPekGVCfYqNPHTnQ7h0YG0jTbRPNQfrbyHCSGEqAMkdNdAfQjdv+zPZvzcZPf9q1qGcGf3WIa0kyWchGsZoRW7XK3afxzJc28PNxq4q0csd3aPlS9qhBB11qkSK3szCtmTUcju9EL2pBdy6GQxjmoGjxu0alpFGmlXHsbbRptoHWnC3yAj5oQQQlxZErproD6EbrPNwY+7M/lq83F+P5Tj3m700XJL52ju7B5Lh6aB0g2vkTmUXczCTal8s/U4p0pd6/GqVTCoVTije8ZxdaswaRESQtRLZpuDg1nF7E4vYE+GK4jvzSikxFp1fXeVChJC/GnjbhV3hfFwo48Xai6EEKKxkNBdA/UhdFeWllfKN1uP89Xm45zIL3Nvbx1p5I5uMdzapSkhAQYv1lDUtlV7s5j96xE2HT3dqh0V6MOd3WO5s0csTYN8vVg7IYSoHU6nwrG8UvakF7Ino8DdKl552cPKQgMM7gBe0SqeEOKPWpY0E0IIcRlI6K6B+ha6KzidChuO5LJocxo/7MrEandNUKPTqLi2dQR39ohhQKK0dDY0H609zGvL9wGuVu1rWkdwd69YBiaFy9q4QohG6WSRhb0VXdMzCtmTXsCRnBKq+4Tjp9fQOtJI2+jyceJRJlpFGmWolhBCiBqT0F0D9TV0V1ZQauO7Hel8tTmNHccL3NvDjQZu7xbDyG4xNA8L8GINxaVSFIXXV+xj9q9HALindxwTr04kMlC6TwohxJlKrXb2ZRaVt4q7WsT3ZRZWO4O6WgUtwgIqtYq7Jm0L9td7oeZCCCHqCwndNdAQQndl+zIL+WrzcRb/eYK88tmrAXrEN2Fk91hu6hAlE87UM3aHk38s3smizccBeP6G1jw0sIWXayWEEPWL3eHkaG5JpRZxV+t45f9XVhYV6OOxjFl8qD9RgT4E+upkDhUhhBASumuioYXuCla7k9X7sli0+Thr9mdTMQmsn17DTR2iuLNHLN2bNZEPDnWc2ebg0S/+ZOWeLNQqeP32jtzZPdbb1RJCiAZBUVxLmbkC+OlJ247mlp71GB+dmqhAXyJNPkQF+hAZWPHb130/2E8vY8eFEKKBk9BdAw01dFeWVWh2T76WklPi3p4Q6s/I7jHc3jWGCJN0U65rCs027p+/mU0peei1at4b3YXr20V6u1pCCNHgFZltp7unl7eMn8gvO2ur+Jn0GjURgQaiTL6VQrlnOA8NMMhcHELUUYqiYLE7KbM6MNsdrt82J2U2BxabgzKb677N4cSpKCgKKOXHuX+7t4FC+X33/tO3neW3qVTWte30ceCaz6nK+Twe6/Q2Z/mNM+vip9cQ6KsjyE9PkK+OID8dgb46Ast/G7Qyv0VNSOiugcYQuisoisLmY6dYlJzGsp0ZlJYvvVKxzNSd3WO4pnUEeq1MvuZt2UVmxs1JZm9GIUaDlk/GdadX8xBvV0sIIRo1s81BVqGZjAIzmQUVv8tcv8u35xRbqp3E7UwatYoIo6E8jFcfzsONBnQyIaoQwOkgbK4UeitCsdkdjivvr/hxuu+7QrPnfbPN6S5bVumYxshPryHIV4epPJAH+eo9gnnFfY8yfnr89ZpG2XtWQncNNKbQXVmJxc6ynRl8tTmN5KOn3NuD/fXc2qUpI7vH0Dqy8VyPuiQ1t5S/zNnIsdxSQgMMzL+vB+2iA71dLSGEEBfAaneSXVQ5lLsCuet+GZkFZrKKLDic5/8IplJBWIChUhivFM5NrvvhJkO9nX1dURQcTlernlNRyn/A4VRQlErbK5Vx7Su/rZwu5zpPpX1Oxd2C6HH7LOd1VqmHgtPpWa+KciqVCq1ahUatQqtRoVGrT99Xq9BqPO+7fqsrlb+AcmqVV4YoVFwvm0PB6nC15NocTmz20/ftZ+5zOLHaFc/7DgWb/Yz7Did2h/P0ud37T5/P6g7VzkotyqfDsTdo1Sp8dRoMOg2+ejU+Wg2+eg0+Wg06rQp1edhUqVSocDVmVdx27VKVbwMVKlQqXMe4/qv2OMrLVJyj4jiVqvx3pe0Vx1G+zeM4923X/lKrnfxSGwVlNvLLbBSUWl2/y2wX9GXhua5RkF95EK/Ukn46vLu2VbSoV9w3+Wjr9UpLErproLGG7sqOnCzmqy3H+WbLcY/1TjvGBDKyeyw3d4om0FfnxRo2HnvSCxk3dxMniyzEBfvx+YSeNAvx93a1hBBCXEYOp0JOscWzpbxSSM8odIVzm+PCPqaF+Os9WsrDAlxDxhzlIdFeHkgdTsUdTu1O1z6HU3GXcyjgcDrLy1UOrwp2R+Vyp8/rqHTuivDrqHJeBUf58WeWF2enUrnCjLYi1GuqD+ea8h+dxnObVuMKhK4Q7RmE7U4Fq71ycD4dfOtDOtBpVPhoNfjoNfjo1PjqNPjoNKe3adXuYOyr12CoVMb1W+0q775fzfby89TnUHihnE6FIoudglIb+WVW8ktt7jBeUHr6fn6pjcIyzzIVyxZfLKNB62pFL29JrxzM+7YIpV9i6GV6lpefhO4akNB9mt3hZO3BkyxKPs6qfVnu/9kbtGqGto/kzu6x9GkeIpPD1JJNKXlMmJ9MkdlO60gjn93Xk3AZay+EEI2S06mQV2qt2o294n6hmfT8MiyX+IG3PlCrXN3xVSpXq55apUJT3uKnVlfcrrRPfbo1sfJttfu3CrWaKsep1Weew3X/zHIKri8NKr50sDsq7jvd2+0Oz/ue5atur8v0GjVajSvU6zRq9BoVOq3a8375bZ329H2tRo1Oo0KvUVfaf8Z9jQq91vO+BOH6Q1EUzDZnect5eRCvJpgXuFvXXdsKSm0UWeznPf/Eq1vy9JBWV+CZXBwJ3TUgobt6ucUWlmxLZ1FyGvuzitzbmwb5MrJ7DHd0iyGmiZ8Xa9iwrNyTxcQFW7HYnfSMD+bjcd2ld4EQQohzUhSFgjJblTHmJ4stwOkWT1eIdAVUbXlIVVf67VlOVbWc2hU2Xa2rnKOcqryc5/kqH69WuwJ05cdWVZyvciiuFLQbuoou8rYqYdx5RqivGu4rWrHd9x1Vy2k15w7Cem2l0KxRu/aVb9M2kn8DceXZHU4KzXbyK7q4l7eyF1RqVR/YKoyrW4V7u6pnJaG7BiR0n5uiKOw8UcCizWn837Z0isyub6VUKriqRSgju8cwpF1kvR1PVhd8tTmN577dicOpMLhNOO/d3VWupxBCCCGEEHWYhO4akNB94cw2Bz/uzmTR5jTWHcp1bzf6aLmlczR3do+lQ9NA+Ua0Bmb/epipP+wD4I5uMbx+WwfpMiWEEEIIIUQdJ6G7BiR0X5y0vFK+3nKcr7cc50R+mXt760gjI7vHMqJzNCEBBi/WsG5TFIXXf9jH7LVHAHhwQHOev6G1fGEhhBBCCCFEPSChuwYkdF8ap1Nhw5FcFm1O44ddme4ZDHUaFXd2j+WZIa0I8tN7uZZ1i93h5Llvd/L1luMAPH9Dax4a2MLLtRJCCCGEEEJcqAvNkRfdh3Xt2rUMHz6c6OhoVCoVS5Ys8divKAovvfQSUVFR+Pr6MnjwYA4ePOhRJi8vjzFjxmAymQgKCmLChAkUFxd7lNmxYwf9+/fHx8eH2NhYpk2bVqUuX331Fa1bt8bHx4cOHTqwfPnyi31a4iKo1SquahnKO6O6kPyPwUwZ0Z6OMYHYHAr/25jKNW/9yqLkNJx1fGbOK8Vsc/Dwf7fy9ZbjaNQqpt3RUQK3EEIIIYQQDdRFh+6SkhI6derE+++/X+3+adOmMXPmTD788EM2btyIv78/Q4YMwWw2u8uMGTOG3bt3s3LlSpYuXcratWt58MEH3fsLCwu5/vrradasGVu2bOE///kPL7/8Mh999JG7zPr16xk9ejQTJkzgzz//ZMSIEYwYMYJdu3Zd7FMTlyDQT8dfejfju4n9WPhgb5IiAsgrsfL3b3YwcvYGdqcXeLuKXlVQZmPsp5v4eW8Weq2aD+/pxp3dY71dLSGEEEIIIUQtuSzdy1UqFYsXL2bEiBGAq5U7OjqaSZMm8fTTTwNQUFBAREQE8+bNY9SoUezdu5e2bduSnJxM9+7dAVixYgU33ngjx48fJzo6mlmzZvHCCy+QmZmJXu/qnvzcc8+xZMkS9u1zTTx11113UVJSwtKlS9316d27N507d+bDDz+8oPpL9/LaY3M4mbfuKG//fIASqwO1Csb2ieep65Mw+TSu5bCyi8yMm5PM3oxCjAYtn4zrTq/mId6ulhBCCCGEEOIi1Hr38nNJSUkhMzOTwYMHu7cFBgbSq1cvNmzYAMCGDRsICgpyB26AwYMHo1ar2bhxo7vMgAED3IEbYMiQIezfv59Tp065y1R+nIoyFY8jvEunUfPAgOb8PGkgN3WMwqnAvPVHufatX1ny5wkay5QCx3JLuGPWBvZmFBIaYODLh/pI4BZCCCGEEKIRqJXQnZmZCUBERITH9oiICPe+zMxMwsM9FzrXarUEBwd7lKnuHJUf42xlKvZXx2KxUFhY6PEjaldUoC/v392Vzyf0pHmoPyeLLDzx5TZGf/wHB7OKvF29WrU7vYDbZ20gNa+UuGA/vnmkD22jpUeFEEIIIYQQjUGjXAx46tSpBAYGun9iY2VM7ZXSPzGMH57ozzNDWuGjU/PHkTxueOc3pi7fS4nF7u3qXXYbj+QyavYf5BRbaBNl4utH+tAsxN/b1RJCCCGEEEJcIbUSuiMjIwHIysry2J6VleXeFxkZSXZ2tsd+u91OXl6eR5nqzlH5Mc5WpmJ/dZ5//nkKCgrcP2lpaTV9iuISGLQa/nZ1S1Y+OZDr2kZgdyrMXnuEwdN/ZfnOjAbT5fyn3Zn8Zc4miix2esYHs/DB3oQbfbxdLSGEEEIIIcQVVCuhOyEhgcjISFatWuXeVlhYyMaNG+nTpw8Affr0IT8/ny1btrjLrF69GqfTSa9evdxl1q5di81mc5dZuXIlrVq1okmTJu4ylR+nokzF41THYDBgMpk8fsSVFxvsx8djuzPn3u7EBvuSUWDmr//bytg5m0jJKfF29S7Jos1pPPzfLVjtTga3ieCzCT0J9G1cE8cJIYQQQgghLiF0FxcXs23bNrZt2wa4Jk/btm0bqampqFQqnnjiCV599VW+++47du7cydixY4mOjnbPcN6mTRuGDh3KAw88wKZNm1i3bh0TJ05k1KhRREdHA3D33Xej1+uZMGECu3fv5ssvv+Sdd97hqaeectfj8ccfZ8WKFbz11lvs27ePl19+mc2bNzNx4sSLvyriirqmdQQrnxzIY9cmoteo+e1gDkNmrOWtn/ZTZnV4u3o19uGvh/n71ztwKjCyWwwf3tMVH53G29USQgghhBBCeMFFLxm2Zs0arr766irbx40bx7x581AUhcmTJ/PRRx+Rn59Pv379+OCDD0hKSnKXzcvLY+LEiXz//feo1Wpuv/12Zs6cSUBAgLvMjh07+Nvf/kZycjKhoaE8+uijPPvssx6P+dVXX/HPf/6To0ePkpiYyLRp07jxxhsv+LnIkmF1x9GcEiZ/t5tfD5wEIKaJLy8Pb8fgthHnOdL7FEVh6g/7+GjtEQAeGtCc525ojUql8nLNhBBCCCGEEJfbhebIy7JOd30nobtuURSFH3dn8sr3e0gvMAMwuE04k4e3IzbYz8u1q57d4eTZb3byzdbjADx/Q2seGtjCy7USQgghhBBC1BYJ3TUgobtuKrXambnqEJ/8dgS7U8GgVTPx6pY8OLA5Bm3d6a5ttjmYuGArP+/NRqNW8fptHRjZXWbEF0IIIYQQoiGT0F0DErrrtkPZRby4ZDcbjuQCEB/ix79uac/ApDAv1wwKymzcPz+Z5KOnMGjVvHd3V66rB13hhRBCCCGEEJdGQncNSOiu+xRF4bvt6fx72V6yiywA3NghkheHtSUq0NcrdcouNDN2zib2ZRZh9NHyydju9Goe4pW6CCGEEEIIIa4sCd01IKG7/igy25ix8iDzNxzF4VTw02t4/NpE7uuXgE5TKyvgVetoTgl/mbORtLwywowG5o/vSdto+dsRQgghhBCisZDQXQMSuuufPemFvPR/u9h87BQAieEBvHJLe/q0qP2W5t3pBYybk0xOsYW4YD/+O6EXcSF1c4I3IYQQQgghRO2Q0F0DErrrJ6dT4Zutx3n9h33kllgBGNE5mn/c1IZwo0+tPOYfR3J5YP5miix22kSZmH9fj1p7LCGEEEIIIUTddaE58sr1xxXiMlOrVYzsHsvqSYO4p3ccKhUs2ZbOtW/+ypzfU7A7nJf18X7cncnYOZsostjpmRDMlw/1lsAthBBCCCGEOCdp6UZauhuKHcfzeXHJLrYfLwCgTZSJV0e0o1uz4Es+96LkNJ77dgdOBa5rG8G7o7vgo6s7y5YJIYQQQgghrizpXl4DErobDodTYWFyKtNW7KegzAbAnd1jeHZoa0ICDDU+n6IofPjrEd5Ysc99rtdu7YD2Ck7aJoQQQgghhKh7JHTXgITuhie32MIbK/axaPNxAAJ9dfx9aCtG9YhDo1Zd0DmcToWpP+zl499SAHhoYHOeG9oalerCjhdCCCGEEEI0XBK6a0BCd8O15Vge/1yym70ZhQB0iglkyoj2dIwJOudxNoeT577ZyTdbXaH9Hze25sEBLWq7ukIIIYQQQoh6QkJ3DUjobtjsDief/3GM6T8doMhiR6WCMb3ieOb61gT66aqUL7M6mLhgK6v2ZaNRq3jj9o7c0S3GCzUXQgghhBBC1FUSumtAQnfjkF1o5rXle1myLR2AYH89z93Qmju6xqAu73JeUGrj/s+SST56CoNWzft3d2Vw2whvVlsIIYQQQghRB0norgEJ3Y3LhsO5vPR/uziYXQxA92ZNeOWW9oQE6Bk3ZxP7Mosw+mj5dFwPeiZc+sznQgghhBBCiIZHQncNSOhufGwOJ3N+T+GdVQcptTrQqFU08dORU2wlzGjgs/t60iZK/haEEEIIIYQQ1bvQHCnrHolGSadR89DAFvz81EBu7BCJw6mQU2ylWYgf3zzcVwK3EEIIIYQQ4rLQersCQnhTdJAvH4zpxm8HT7L+cC7jr4on3Ojj7WoJIYQQQgghGggJ3UIA/RPD6J8Y5u1qCCGEEEIIIRoY6V4uhBBCCCGEEELUEmnpBirmkissLPRyTYQQQgghhBBC1AcV+fF8c5NL6AaKiooAiI2N9XJNhBBCCCGEEELUJ0VFRQQGBp51vywZBjidTtLT0zEajahUKm9X56wKCwuJjY0lLS1Nlja7zOTa1i65vrVHrm3tkutbe+Ta1h65trVLrm/tkWtbu+T6Xn6KolBUVER0dDRq9dlHbktLN6BWq4mJifF2NS6YyWSSF0otkWtbu+T61h65trVLrm/tkWtbe+Ta1i65vrVHrm3tkut7eZ2rhbuCTKQmhBBCCCGEEELUEgndQgghhBBCCCFELZHQXY8YDAYmT56MwWDwdlUaHLm2tUuub+2Ra1u75PrWHrm2tUeube2S61t75NrWLrm+3iMTqQkhhBBCCCGEELVEWrqFEEIIIYQQQohaIqFbCCGEEEIIIYSoJRK6hRBCCCGEEEKIWiKhWwghhBBCCCGEqCUSuoUQQgghhBBCiFoioVsIIYQQQgghhKglErqFEEIIIYQQQohaIqFbCCGEEEIIIYSoJRK6hRBCCCGEEEKIWiKhWwghhBBCCCGEqCUSuoUQQgghhBBCiFoioVsIIYQQQgghhKglWm9XoC5wOp2kp6djNBpRqVTero4QQgghhBBCiDpOURSKioqIjo5GrT57e7aEbiA9PZ3Y2FhvV0MIIYQQQgghRD2TlpZGTEzMWfdL6AaMRiPgulgmk8nLtRFCCCGEEEIIUdcVFhYSGxvrzpNnI6Eb3F3KTSaThG4hhBBC1GuKonCyyIJWo8ZHp8ZHq0GtluFzQghRW843RFlCtxBCCCFEPaYoCkdySthwOJcNR3LZeCSXnGKrRxm9Vo2vToOPruK3BoNOg69OjY9O497mc0aZituGSmUqzlN9eQ0aCfhCCOFBQrcQQgghRD2iKArHckvZcCSXDYdz+eNILtlFFo8yKhUoyun7VrsTq91JQVnt109f0cKu0+Cr1+Cj9Qzp7vCv12DQurYZfbSEGQ1EmnyIMPkQYTIQ6KuTCW6FEA2ChG4hhBBCiDouLa/U3ZL9x5FcMgrMHvv1WjVd44Lo0zyUPi1C6BQbiFatxmJ3UGZ1YLY7Xb9tFT9OzDYHZTbPbRX3yyqVqVyuzObEckaZMpsDq93provV4cTqcFJotl/SczZo1e4AHlEpjJ++7UOkyQdfveaSHkcIIWqbhO4LpCgKdrsdh8Ph7aoIIeo5nU6HRiMfEoUQZ3civ8zdir3hcC4n8j2bqHUaFV1im9C7RQh9mofQJS4IH13V9xU/vRY/fe1/3HM4FSz2M4K71VEe+s8I+HYnZqtncC8028gqNJNdaCGryEx+qQ2L3UlqXimpeaXnfGyjj9YdwMPLQ3lkeUAPL78dZjSg05x9OR8hhKhNErovgNVqJSMjg9LSc7/pCyHEhVCpVMTExBAQEODtqggh6ojMAjMbjuTwx+E8NhzJrRI0tWoVnWKD6NM8hD4tQuga16ROtfBq1KrygH95zme2OdwBPKvQTGaBmewii8ftzAIzZTYHRWY7ReZiDmUXn/V8KhWE+OvP0mJ++nawn75OTjpnczg9eihUfMFReZvZ7tk7wWJ33bY6nMQE+ZIUYSQpwkgT/8v0jySEuGASus/D6XSSkpKCRqMhOjoavV4v44uEEBdNURROnjzJ8ePHSUxMlBZvIRqp7CJzeUt2Hn8cySUlp8Rjv0atokPTQPqUt2R3j29yRVqs6wofnYa4ED/iQvzOWkZRFIotdrIKzWQVlgfyitbySrezi8zYHAo5xVZyiq3sTi886zm1ahXhRgMRgT5EGMsDufu2D5GBrtZzvUaNxeYsD7qeYddsrxR8qy1zepulSjd/1z7LGedzOJWz1rmmwo0GWkW6AnirCCNJkUYSwwPwNzSevy8hrjR5dZ2H1WrF6XQSGxuLn9/Z3/iFEOJChYWFcfToUWw2m4RuIRqJnGILfxw53V388EnPkK1WQfumgfRpHkLvFiH0iA8mQELQOalUKow+Oow+OlqGn32NXKdT4VSptUogzyq0kF3pdm6JBbtTIb3ATPoZY+brEoNW7Z413kd3eqI6Q8UM8lq1xwR2arWKY7ml7M8s4kR+GdlFFrKLLPx2MMfjvDFNfN0hvFV5q3iLcH8MWvn/lBCXSt7NL5BaLeOAhBCXh/SWEaLhyyuxsrEiZB/J5UCWZ9dnlQraRpnc3cV7JARj8tF5qbYNm1qtIiTAQEiAgXbRZy9nczjJKXZ1W88qbyGvetvsMUGcWsXppdPKw7ChIhBrqy6tVjFbu+eya+XHVVPeR6s5o4z6kv4fUmyxczCriANZRezPLHb9ziriZJGF46fKOH6qjFX7st3lNWoV8SF+VVrGmwX7oZUx8kJcMAndQgghhBCXqKDUxsaUXPcyXvsyi6qUaR1pdHcX75kQTNDlGgAtLgudRk1UoC9Rgb7nLFdmdWBzOvHRatBpVPXqi9QAg5YucU3oEtfEY3teiZUD7jDu+r0vs4gis53DJ0s4fLKE5Tsz3eX1WjUtwwJOh/HIAJIijDQN8q1X10OIK0VCt6iTVCoVixcvZsSIEd6uSo3Ex8fzxBNP8MQTT3i7KkIIIWpRodlGckqeexmvPRmFHutiAyRFBLhbsnsmhBAsE1g1CL56Db40rC7Xwf56ejcPoXfzEPc2RVHIKrSwP6uIA5muFvGKYG62OdmTUcieDM/x8QEGLYkRAe7u6RWhPDRA5kQSjZuE7gbs3nvvZf78+QBotVpiYmIYOXIkr7zyCj4+Pl6u3bllZGTQpEmT8xf0knnz5vHEE0+Qn5/vsT05ORl/f/9af3xvh/sNGzbQr18/hg4dyrJlyzz2HT16lISEBP788086d+7ssW/NmjVcffXVnDp1iqCgII99Zz6niv85b9iwgd69e7vLWSwWoqOjycvL45dffmHQoEEe5QFMJhPt27dnypQpXHPNNcCFvx6q+8Lnl19+4T//+Q8bN26krKyM+Ph4brjhBp566imaNm3qfl7VycjIIDIy8twXVAhR5xVb7CQfzeOP8pC960QBZ85t1SLMnz4tQtzhJTTA4J3KCnEZqFQqIgN9iAz0YWBSmHu706mQdqrU3SK+P6uYA5lFHD5ZTLHFzp+p+fyZmu9xrmB/PUkVYbx8zHhihJFAXxlSIRoHCd0N3NChQ5k7dy42m40tW7Ywbtw4VCoVb7zxhtfqZLVa0evP/W1/fQ0pYWFh5y/UAHz66ac8+uijfPrpp6SnpxMdfY5BcpcgNjaWuXPneoTuxYsXExAQQF5eXpXyc+fOZejQoeTk5PDCCy8wbNgwdu3aRfPmzYGLez3Mnj2bv/71r4wbN45vvvmG+Ph4UlNT+eyzz3jrrbeYPn26u+z+/fsxmUwex4eHh1/qZRBCeEmp1c7Pe7P5bls6aw+cxOpweuxPCPUvD9jB9GkeQripbn+hLcTloFaraBbiT7MQf65vd/rzmtXu5GhuiTuMu36KOZpbQl6JtXymfs//d0cF+ni0iLeKMNIyPKBOLYcnxOUgMyA0cAaDgcjISGJjYxkxYgSDBw9m5cqV7v1Op5OpU6eSkJCAr68vnTp14uuvv/Y4x+7duxk2bBgmkwmj0Uj//v05fPgwAIMGDarS2jpixAjuvfde9/34+HimTJnC2LFjMZlMPPjgg1itViZOnEhUVBQ+Pj40a9aMqVOnuo9RqVQsWbIEgL59+/Lss896PMbJkyfR6XSsXbsWcLV+Pv300zRt2hR/f3969erFmjVrznlt8vPzuf/++wkLC8NkMnHNNdewfft29/7t27dz9dVXYzQaMZlMdOvWjc2bN7NmzRrGjx9PQUEBKpVrLNfLL7/sfq5vv/22x/OYPXs2w4YNw8/PjzZt2rBhwwYOHTrEoEGD8Pf3p2/fvu7rCXD48GFuueUWIiIiCAgIoEePHvz888/u/YMGDeLYsWM8+eST7sev8Pvvv9O/f398fX2JjY3lscceo6Tk9Ay5H3zwAYmJifj4+BAREcEdd9xxzmtUneLiYr788kseeeQRbrrpJubNm1fjc1yocePGsXDhQsrKytzb5syZw7hx46otHxQURGRkJO3bt2fWrFmUlZV5/L2f7/VwpuPHj/PYY4/x2GOPMWfOHAYNGkR8fDwDBgzgk08+4aWXXvIoHx4eTmRkpMePTMIoRP1isTv4aXcmExdspduUn3nsiz/5eW8WVoeT2GBf7uwew4y7OrHh+Wv45elBTL2tA7d0biqBWzR6eq2apAgjwztFM+n6Vsz+S3d+eXoQe/41lKWP9uOtkZ14aEBzBrUKIzrQ9XrJKDDz64GTfLT2CE9/tZ3h7/1Olyk/8fbPBzDbHF5+RkJcPtLSfREURaHMS28EvjrNRY+J2bVrF+vXr6dZs2bubVOnTuW///0vH374IYmJiaxdu5Z77rmHsLAwBg4cyIkTJxgwYACDBg1i9erVmEwm1q1bh91uP8cjVfXmm2/y0ksvMXnyZABmzpzJd999x6JFi4iLiyMtLY20tLRqjx0zZgzTpk3j9ddfdz/3L7/8kujoaPr37w/AxIkT2bNnDwsXLiQ6OprFixczdOhQdu7cSWJiYrXnHTlyJL6+vvzwww8EBgYye/Zsrr32Wg4cOEBwcDBjxoyhS5cuzJo1C41Gw7Zt29DpdPTt25e3336bl156if379wMQEBBw1uc+ZcoUpk+fzvTp03n22We5++67ad68Oc8//zxxcXHcd999TJw4kR9++AFwhdobb7yRf//73xgMBj777DOGDx/O/v37iYuL49tvv6VTp048+OCDPPDAA+7HOXz4MEOHDuXVV19lzpw5nDx5kokTJzJx4kTmzp3L5s2beeyxx/j888/p27cveXl5/Pbbb+7j582bx/jx41HOHJR4hkWLFtG6dWtatWrFPffcwxNPPMHzzz9fK2O1unXrRnx8PN988w333HMPqamprF27lvfff58pU6ac81hfX9dEOFartdr91b0ezvTVV19htVr5+9//Xu3+M7vICyHqJ7vDyfrDuXy/PZ0VuzMpqjQ7dbMQP27uFM3wTtEkRZx9WSohRPV89RraNw2kfdNAj+2FZhsHK8+iXj5uPK/Eyts/H2Txnyd4+eZ2XN1KeoyJ+k9C90Uoszlo+9KPXnnsPa8MwU9/4f9sS5cuJSAgALvdjsViQa1W89577wGu1uHXXnuNn3/+mT59+gDQvHlzfv/9d2bPns3AgQN5//33CQwMZOHCheh0rnE3SUlJNa73Nddcw6RJk9z3U1NTSUxMpF+/fqhUqnMGnzvvvJMnnnjC3YoLsGDBAkaPHo1KpSI1NZW5c+eSmprq7ub89NNPs2LFCubOnctrr71W5Zy///47mzZtIjs7G4PBNebuzTffZMmSJXz99dc8+OCDpKam8swzz9C6dWsAj/AeGBjoGut0Ad3gx48fz5133gnAs88+S58+fXjxxRcZMmQIAI8//jjjx493l+/UqROdOnVy358yZQqLFy/mu+++Y+LEiQQHB6PRaDAajR6PP3XqVMaMGePueZCYmMjMmTMZOHAgs2bNIjU1FX9/f4YNG4bRaKRZs2Z06dLF4zm1atXqvM/n008/5Z577gFc3bULCgr49ddf3WOrL7f77ruPOXPmcM899zBv3jxuvPHG83bjLy0t5Z///CcajYaBAwe6t5/r9VCdgwcPYjKZiIqKuqC6xsTEeNxv1qwZu3fvvqBjhRBXltOpsCX1FN9tS2f5zgxyS05/QRdp8mFYxyhu7hxNh6aBMgGUELXA5KOjW7NgujULdm9TFIWlOzJ4ddkejuWWMn5uMkPbRfLS8LZEB517Vnkh6jIJ3Q3c1VdfzaxZsygpKWHGjBlotVpuv/12AA4dOkRpaSnXXXedxzFWq9UdxrZt20b//v3dgftide/e3eP+vffey3XXXUerVq0YOnQow4YN4/rrr6/22LCwMK6//nr+97//0b9/f1JSUtiwYQOzZ88GYOfOnTgcjipfBlgsFkJCQqo7Jdu3b6e4uLjK/rKyMndX76eeeor777+fzz//nMGDBzNy5EhatGhR4+fesWNH9+2IiAgAOnTo4LHNbDZTWFiIyWSiuLiYl19+mWXLlpGRkYHdbqesrIzU1NRzPs727dvZsWMH//vf/9zbFEXB6XSSkpLCddddR7NmzWjevDlDhw5l6NCh3Hrrrfj5+QFw6623cuutt57zMfbv38+mTZtYvHgx4JqQ7K677uLTTz+ttdB9zz338Nxzz3HkyBHmzZvHzJkzz1p29OjRaDQaysrKCAsL49NPP/W4/ud6PVRHUZQafdj+7bffMBpPt4Rd6utGCHF5KYrCrhOFfLf9BEt3ZJBRYHbvC/bXc2OHSIZ3jKZHfDBqtQRtIa40lUrF8E7RXN06nLdXHmDu+qOs2J3JrwdO8ti1iUzol4BeK8O2RP0jofsi+Oo07HlliNceuyb8/f1p2bIl4BoL26lTJz799FMmTJhAcXExAMuWLaNp06Yex1W0/lZ00T0btVpdpTuyzWarth6Vde3alZSUFH744Qd+/vln7rzzTgYPHlxlPHmFMWPG8Nhjj/Huu++yYMECOnTo4A6uxcXFaDQatmzZgkbjeX3O1u27uLiYqKioasd9V3QZfvnll7n77rtZtmwZP/zwA5MnT2bhwoXnDaZnqhy8KgJcdducTtcEPU8//TQrV67kzTffpGXLlvj6+nLHHXectZt05ef00EMP8dhjj1XZFxcXh16vZ+vWraxZs4affvqJl156iZdffpnk5OQL7ib96aefYrfbPSZOUxQFg8HAe++9R2Bg4DmOxj3JWEFBQZXHzM/Pr/b4kJAQhg0bxoQJEzCbzdxwww0UFVVd/xZgxowZDB48mMDAwGpbw8/1eqhOUlISBQUFZGRkXFBrd0JCgnQ5F6IOOphVxPfb0/l+RwYpOafnuTAatAxpH8nwTtFc1SIErUY+zAtRFwQYtPxzWFvu6B7Di0t2kXz0FG+s2Mc3W48z5Zb29GlRfaOKEHWVhO6LoFKpatTFu65Qq9X84x//4KmnnuLuu++mbdu2GAwGUlNTPbrgVtaxY0fmz5+PzWarttUuLCyMjIwM932Hw8GuXbvOunxSZSaTibvuuou77rqLO+64g6FDh5KXl0dwcHCVsrfccgsPPvggK1asYMGCBYwdO9a9r0uXLjgcDrKzs93dz8+na9euZGZmotVqiY+PP2u5pKQkkpKSePLJJxk9ejRz587l1ltvRa/X43DUzrj+devWce+997rDfXFxMUePHvUoU93jd+3alT179rhDZXW0Wi2DBw9m8ODBTJ48maCgIFavXs1tt9123nrZ7Xb3jN1n9koYMWIEX3zxBQ8//PA5z5GYmIharWbLli0eQwqOHDlCQUHBWYcu3Hfffdx44408++yzVb5YqSwyMvKcz7+yM18P1X3BdMcdd/Dcc88xbdo0ZsyYUWV/fn6+hGwh6qjU3FK+35HO99vT2Zd5+os6H52aa9tEcHOnaAYmheFTwy+zhRBXTutIE4se6sM3W08wdfleDmUXM/rjP7ilczQv3NhGJjAU9YbXv9Jdu3Ytw4cPJzo62mPG6gqKovDSSy8RFRWFr68vgwcP5uDBgx5l8vLyGDNmDCaTiaCgII9WXOFp5MiRaDQa3n//fYxGI08//TRPPvkk8+fP5/Dhw2zdupV3333XvZ7xxIkTKSwsZNSoUWzevJmDBw/y+eefuycQu+aaa1i2bBnLli1j3759PPLII1XWrq7O9OnT+eKLL9i3bx8HDhzgq6++IjIy8qwBxt/fnxEjRvDiiy+yd+9eRo8e7d6XlJTEmDFjGDt2LN9++y0pKSls2rSJqVOnVllDusLgwYPp06cPI0aM4KeffuLo0aOsX7+eF154gc2bN1NWVsbEiRNZs2YNx44dY926dSQnJ9OmTRvANUt5cXExq1atIicnh9LS0hr8K5xbYmIi3377Ldu2bWP79u3cfffd7lbwCvHx8axdu5YTJ06Qk5MDuMaLr1+/nokTJ7Jt2zYOHjzI//3f/zFx4kTANZ555syZbNu2jWPHjvHZZ5/hdDrd47gXL17sHr9enaVLl3Lq1CkmTJhA+/btPX5uv/12Pv30U4/y+/fvZ9u2bR4/Pj4+3H///UyaNInvvvuOlJQU1q5dy5gxY+jduzd9+/at9rGHDh3KyZMneeWVVy76ulan8uuhOrGxscyYMYN33nmHCRMm8Ouvv7r/Hh566KEqk7llZ2eTmZnp8VNdzw8hRO3IKjTz6e8pjHh/HQP+8wv/+XE/+zKL0GlUDG4TzjujOrPln9fx/t1dGdIuUgK3EPWASqXijm4xrJ40iHt6x6FSwf9tS+fat35l7roU7Gcs5SdEXeT10F1SUkKnTp3O+qF32rRpzJw5kw8//JCNGzfi7+/PkCFDMJtPj8MaM2YMu3fvZuXKlSxdupS1a9fy4IMPXqmnUK9otVomTpzItGnTKCkpYcqUKbz44otMnTqVNm3aMHToUJYtW0ZCQgLg6tq7evVqiouLGThwIN26dePjjz92t3rfd999jBs3jrFjxzJw4ECaN29+Qa3cRqORadOm0b17d3r06MHRo0dZvnz5OZdXGjNmDNu3b6d///7ExcV57Js7dy5jx45l0qRJtGrVihEjRpCcnFylXAWVSsXy5csZMGAA48ePJykpiVGjRnHs2DEiIiLQaDTk5uYyduxYkpKSuPPOO7nhhhv417/+BbiWMXv44Ye56667CAsLY9q0aRd0/S/E9OnTadKkCX379mX48OEMGTKErl27epR55ZVXOHr0KC1atHB3o+7YsSO//vorBw4coH///nTp0oWXXnrJ3RU8KCiIb7/9lmuuuYY2bdrw4Ycf8sUXX9CuXTvA1eW74suU6nz66afurttnuv3229m8eTM7duxwbxs1ahRdunTx+MnKyuKdd95h3LhxPPvss7Rr1457772Xjh078v333591/LRKpSI0NPS867vX1Jmvh+r89a9/5aeffuLEiRPceuuttG7dmvvvvx+TycTTTz/tUbZVq1ZERUV5/GzZsuWy1lkI4elUiZUFG1MZ9dEGek9dxZSle9iWlo9aBf1ahvLG7R3Y/MJ1fDKuB7d0boq/of71VBNCQKCfjldHdOD//nYVnWICKbLY+df3e7j5vXVsOXbK29UT4pxUyvnWB7qCVCoVixcvZsSIEYCrlTs6OppJkya5P9wWFBQQERHBvHnzGDVqFHv37qVt27YkJye7J+tasWIFN954I8ePH/cYe3o2hYWFBAYGUlBQ4B5zWsFsNpOSkkJCQgI+PtKFRQhx6eR9RYhLU2S2sXJPFt9vT+e3gznYnac/ynRr1oSbO0VzQ4dIwo3y+hKiIXI4Fb7YlMp/ftxPQZmrR9ld3WN59obWBPtf3i/ohTiXc+XIyur0170pKSlkZmYyePBg97bAwEB69erFhg0bGDVqFBs2bCAoKMhjduzBgwejVqvZuHFjjSe9EkIIIUTdY7Y5WL0vm++3p7N6XzYW++kupe2iTQzvFM2wjlHENPHzYi2FEFeCRq3int7NuKF9JK//sI+vthzny81p/Lgnk78Pac2oHrGyAoGoU+p06M7MzAROL7NUISIiwr0vMzOT8PBwj/1arZbg4GB3mTNZLBYsFov7fmFh4eWsthBCCCEuA5vDye8Hc/huezo/7c6kxHp6AsnmYf7c3Cma4Z2iaRFW/UoVQoiGLSTAwH9GduKuHrH8c8ku9mUW8Y/FO1m0OY1XR7SnfdNzr6oixJVSp0N3bZk6dap7bK4QQggh6g6HU2FjSi7fb8/gh10Z5JeenoywaZAvwztFM7xTFG2jTGedB0II0bh0jw9m6aP9mL/hGDNWHmBbWj43v/c79/RuxqTrWxHoW3UFHiGupDoduiMjIwHIysryWCM3KyuLzp07u8tkZ2d7HGe328nLy3Mff6bnn3+ep556yn2/sLCQ2NjYy1x7IYQQQlwIRVH4My2f77ens2xHBtlFp3ujhQYYGNYxiuGdoukaFyRBWwhRLa1GzYR+CQzrGMWry/by/fZ0PttwjOU7M/jHjW24tUtTef8QXlOnQ3dCQgKRkZGsWrXKHbILCwvZuHEjjzzyCAB9+vQhPz+fLVu20K1bNwBWr16N0+mkV69e1Z7XYDBgMBiuyHMQQgghRFWKorAvs4jvtrvW0j5+qsy9L9BXxw3tI7m5UzS9moegkbGZQogLFGHy4d3RXRjVI5YX/28XR06W8NSi7SxMTmPKLe1pFWn0dhVFI+T10F1cXMyhQ4fc91NSUti2bRvBwcHExcXxxBNP8Oqrr5KYmEhCQgIvvvgi0dHR7hnOK5a5euCBB/jwww+x2WxMnDiRUaNGXdDM5ReqDk3yLoSo5+T9RDRGiqJw/FQZfxzJZWNKHhtTcknLOx20/fQarm8bwfBO0fRPDEOv9fqqpkKIeuyqlqGseHwAH/92hHdXH2RTSh43zfyN+/ol8Pi1ibJ8oLiivL5k2Jo1a6pd13ncuHHMmzcPRVGYPHkyH330Efn5+fTr148PPviApKQkd9m8vDwmTpzI999/j1qt5vbbb2fmzJkEBFzYxCrnmurd4XBw4MABwsPDCQkJubQnK4QQuJY+TE9Pp2XLlu4174VoaBRF4UhOCZtS8th4JJdNKXmkF5g9yui1aq5pFc7wTtFc0zocX73GS7UVQjRkx0+V8sr3e/hpTxYAUYE+vDisLTe0j5Qu5+KSXOiSYV4P3XXB+S5WRkYG+fn5hIeH4+fnJy9OIcRFczqdpKeno9PpiIuLk/cT0WA4nQoHs4vZlJLLHyl5bErJ42SlsdkAWrWKjjGB9GoeQq+EYLrHBxMgrU1CiCtk9b4sJn+3293Lpn9iKK/c0p6EUH8v10zUVxK6a+B8F0tRFDIzM8nPz7/ylRNXhN3pxGxz4qPToJWxg6KWqdVqEhIS0Ov13q6KEBfN4VTYm1HIxpQ8NqW4WrJPVZppHFwt2Z1jg+idEEyv5iF0iQvCTy8hWwjhPWabgw/WHObDNYexOpzoNWoeHticv17dEh+d9LYRNSOhuwYu9GI5HA5sNttZ94v6KSO/jCe+3EZOsQWVCq5qEcaILtF0jpVZckXt0Ov1qNUyXlXULzaHk93phWwsH5OdfDSPIrPdo4yPTk23Zk3oleBqye4UGyQfYoUQdVJKTgmTv9vN2gMnAYgN9uXl4e24tk2El2sm6hMJ3TVwoRdLNDzZhWZGzt7AsdxSjD5ajw+QieEBjO0bz21dmspkG0KIRsdid7DjeAGbUvL440guW46dotTq8CgTYNDSPb4JPROC6ZUQQoemgTIBmhCi3lAUhRW7Mnll6R4yyuecuK5tBJOHtyWmiZ+XayfqAwndNSChu3HKL7Uy6qM/2JdZRGywL1891JdCs43PNhzl260n3B8ujQYtt3eL4S99mtEi7MIm5xNCiPrGbHOwNfUUG4+4xmNvTT2Fxe70KBPoq6NHfDC9mwfTMyGYtlEmtBoJ2UKI+q3EYmfmqoN8+nsKdqeCj07No9ckcn//BAxa6a0jzk5Cdw1I6G58Six27vl0I3+m5hNmNPD1w31oFnJ6Eo1Cs41vthznsw3HSMkpcW/vnxjKuD7xXN06XNaNFULUayUWO1uOnWJj+Xjs7WkFWB2eITvEX1/eiu0ak90qwoha3vuEEA3UgawiXlyyi40peQA0D/Nnyi3tuaplqJdrJuoqCd01IKG7cTHbHEyYn8y6Q7kE+upY9FAfWkUaqy3rdCr8fiiHzzYcZdW+bCpeLTFNfPlL72bc2T2WJv4yGZYQF6rQbKPEYifYXy+tB1dYQZmNLcfy2Hgkjz9S8th1ogCH0/MjQLjR4J5ZvHfzYFqEBcjcFkKIRkVRFP5vWzqvLttLTrFrBYZhHaN4cVhbIkw+Xq6dqGskdNeAhO7Gw+5w8tf/beWnPVn46TX87/5edIlrckHHpuWV8t8/jrEwOY2CMteEegatmls6RzO2TzztmwbWZtWFqNdyii188Mth/rvxGNbyLssBBi3B/nqC/fWElP8ODqi4bTi9zV9PSIBeZr2uoVMl1vKZxfPYmJLLnoxCzvw/ftMg3/JWbNeY7GYhsiymEEKA64vKGSsP8NmGozgV1/+znhicyL1942VYjXCT0F0DErobB6dT4Zmvd/DN1uPotWrm3duDvhfRXajM6uD77enMW3+UPRmF7u3dmjVhbJ9m3NA+SiYSEqJcQZmNj9ceYc66FPc8CWoVOC/i/zw+OjUh/oZzBnX39gA9RoO2QQZIh1PBbHNQZnNQZnV43M4usrCpPGjvzyqqcmx8iB+9EkJcXcabB8tEQUIIcR67ThTwzyW72JaWD0DrSCNTRrSnR3ywdysm6gQJ3TUgobvhUxSFf32/h3nrj6JRq5g1pivXt4u85HNuTT3F/PXHWL4zA3t5iggNMHB3rzjG9IqTbkii0Sq12pm77iizfz1MYfmqAB1jAnn6+lb0TwylsMxObomFvBIruSVW8sp/cout5JVYPLeVWN2t4zWh16hp4q+r0moeGlApoAecDvAmH90ljVdWFAWL3ekRgsts5aHY6nRtszkwl2+vLjS7y7vvl5+v0jE1uRYtwwPc47F7JQTLe5IQQlwEp1Nh0eY0Xl+xj/xSV2/HO7rF8NwNrQkNMHi5dsKbJHTXQH0J3btOFJAQ6i/LV12EGSsP8M6qgwBMv7MTt3WNuaznzy4088WmNP638RjZRa7xP1q1iiHtIxnXJ54e8U0aZIubEGey2B0s2JjK+78cIqfYCkBSRABPXdeKIe0iLup1oCgKJVYHecXWaoN6TrHljNBupczmOP+Jz6BRq2ji59mC3sRPh8OpVAq9zrOHZpujSvft2uajU+Or0+Cr0+Cj12D00dElNoheCcH0SAiWD4NCCHEZ5ZVYmbZiHwuT0wAw+Wi5r18CMU38CPbXEeSnJ9hPTxN/PSafhtnbSniS0F0D9SF0H8ou5rYP1hHTxI9P7+1OVKCvt6tUb3z6ewpTlu4B4F83t2Nc3/haeyybw8mPuzP5bP0xNh3Nc29vHWlkXN94bukcLeNSRYNkdzj5Zutx3vn5IOnla53GBfvx5HWJ3Nyp6RWf7b/M6vAM6MXWSmH9jOBebKXIYr+sj6/TqPApD8O++vJQXN19vWdo9q1Upvryp8sYtGqZSVwIIbxga+opXlyyi93phWct4/oit3IQ19GkPJA38XPdDvbXu/aXb7vUHlfiypPQXQP1IXTvOJ7PffM2k1NsIdxo4NNxPegQIxN3nc+izWn8/esdAEy6LolHr028Yo+9J72Qz/84yuI/T2C2ubqDmny03Nk9lr/0aeaxRJkQ9ZXTqbB0ZwYzVh5wL68XafLhsWsTGdk9Bl09mWzGYndwqsTmDuoVreb5ZTZ0atUFhWCf8gDto9PUm+cthBDi4jicCl8mp/HHkVxOlVrJL7WRV2Ilv9RKibXmva3ANedJkJ8rgLsDuZ+eIH+duwXdFdZPh/lAXwnq3iShuwbqQ+gGOH6qlAnzNrM/qwhfnYa3R3VmyCWOS27IftiZwd8WbMWpwP39EnjhpjZe6eZTUGrjqy1pfLbhGKl5pQCoVDAoKYyxfeMZmBgmb5ai3lEUhZ/3ZvPWT/vZl+masCvYX89fB7Xgnt7N8NHJcmBCCCEaJ7PNQX6pjVOlVk6VWDlVaiPPffv0tlOl1vKgbqP4IntcqVUQ6KtzB/ImlUJ75Vb1iv1hAQZMvtL1/XKR0F0D9SV0AxSZbUxc8Ce/HjiJSgXP39CaB/o3lxfOGdYeOMmE+cnYHAp3dY/l9ds7eP0aOZ0Kvx44yfwNR1mz/6R7e7MQP/7Suxkju8cS6KvzYg2FuDDrDuXwnx/3u2dyNRq0PDigOeP7JRAgc04IIYQQNWaxnw7qFUG8ouU8r6Q8wFcO7CUXPzRKr1UTFmAg3GQg3Ggg3Ojj+m0yEFbpfkiA4YoPD6tvJHTXQH0K3eAaO/nK0j18tuEYAKN6xDJlRHvpzlhuy7E87vlkE2U2Bzd1iGLm6C517g0jJaeE//5xjEWb0ygqn9nZV6dhRJemjO3TjDZRdf/vUDQ+W46d4s0f97PhSC7gmsRr/FUJPDSgOUF+ei/XTgghhGhcrHYn+WVWTpWcblXPq9TV/fQ2myu813AOE7UKQgJcwdwVxssDualim497X2Pt4SahuwbqW+iuMG9dCq8s3YNTgatahvDB3d0I9GvcLaV70gsZ9dEGCs12BiSF8cnY7nV6zexSq50lf6bz2Yaj7i66AD0TghnXJ57r20XIlynC6/akF/LWT/tZtS8bcE0SNqZXM/56dQvCjbIElRBCCFFfmG0OThZZyC4yl/+2kF3oul9x+2SxhdxiC84apESTj5ZwU3mLubFSi7nJ87bR0LC6tkvoroH6GroBVu/L4tEFf1JiddAizJ859/ZotBN0peSUMPLD9eQUW+nerAmfTehZb2YKVxSFTSl5fLbhGCt2Z+Iof5eLMBkY06sZo3rGSrgRV9yRk8VMX3mApTsyANc33nd0i+GxaxOJaeLn5doJIYQQorbYHU7ySqyuIF5kdoXxipB+RkC32p0XfF4fndqjC7urW7sPYQEGwip1dw/x19eLOY8kdNdAfQ7d4GqFmjA/mYwCM8H+ej76Sze6xwd7u1pXVHp+GSM/3MCJ/DLaRpn44sHe9XZ8dGaBmQUbj7FgU6p7nWOdRsWNHaIY2yeernFBDeobQlH3HD9VysxVB/lm6wn3F0DDOkbx5HVJtAgL8HLthBBCCFFXKIpCYZn9dBA/S0A/WWipUdd2jVpFaICecX3j+euglrX4DC6NhO4aqO+hGyC70MyE+ZvZeaIAvUbNtDs6MqJLU29X64rILbYwcvYGjpwsoXmoP4se7kNogMHb1bpkFruDFbsymb/+KFtT893b2zc1MbZPPDd3im6042dE7cguMvPBL4dZsDEVq8P1rfW1rcN56vok2kXLEoVCCCGEuHhl1tNd210t5RVB/XRIP1lkJrfESkVCvdJL/taUhO4aaAihG1zjg5/8chs/7s4C4PFrE3licGKDbhUtNNu4++M/2HWikOhAH756pC9Ng3y9Xa3LbufxAj7bcJT/257u7sLjp9fQIz6Yq1qG0LdFKG2jTPWiG46oe/JLrcxee4R5645SZnOtLdqneQhPD2lFt2ZNvFw7IYQQQjQmNoeT3GIrJ4sshAToia7Dn+0ldNdAQwnd4FqW6o0f9zH71yMA3Nwpmml3dGyQLaJlVgfj5mxi09E8Qvz1LHq4T4Pv+ppXYmXR5jQ+33CME/llHvuC/HT0aR5C35ahXNUihIRQ/wb9hYu4dMUWO3N/T+Gj3464Z9HvHBvEM0NacVXLUC/XTgghhBCibpPQXQMNKXRX+DI5lRcW78LuVOjWrAkf/aUbIQ2gy3UFq93Jg59vZs3+kxgNWr54sDftmzae7q9Op8K+zCLWH85h/eFcNh7JpcTq8CgTFehD3xah7pbwyECZiE24mG0O/vvHMWatOUxuiWvegNaRRiZd34rBbcLlyxohhBBCiAsgobsGGmLoBlh/KIeH/7uFQrOd2GBf5ozrQWKE0dvVumQOp8LjC/9k6Y4MfHRqPp/Qix6NbOK4M9kcTnYcz2fdoVzWHcrhz9R895jcCs3D/LmqPIT3bh4i6yo3QjaHk682H2fmqoNkFpoBiA/x48nrkhjeMVqGJwghhBBC1ICE7hpoqKEb4FB2MRPmJ3MstxSjj5ZZY7rRL7H+dhtVFIV/LN7JF5vS0GlUfDy2O4NahXu7WnVOmdXB5mN5rDuUy/rDOew8UUDlV7pKBe2jA+nbMoSrWoTSIz4YX33DG4IgXBxOhe+3pzPj5wMcyy0FIDrQh8euTeT2bjGyFrwQQgghxEWQ0F0DDTl0g2sc8EOfbyb56Ck0ahVTbmnP3b3ivF2tGlMUhdd/2MfstUdQq+Dd0V25qWOUt6tVLxSU2thwJNfdHf1QdrHHfp1GRZe4Ju6W8E6xQRLEGgBFUfhxdxbTV+7nQJbr3zw0QM9fB7Xk7l5xDXKuByGEEEKIK0VCdw009NANruWnnvtmJ4v/PAHAA/0TeO6GNmjqUXfS9385xH9+3A/A67d1YFTP+vfFQV2RVWhm/eEcV0v4oRzSC8we+/31GnomBHNVy1D6tAihTaTMjF6fKIrCbwdzeOun/Ww/XgCAyUfLQwNbcG/fePwNWi/XUAghhBCi/pPQXQONIXSD64P4u6sPMX3lAQCuaxvBO6M646ev+x/AP//jGC8u2QXACze24YEBzb1co4ZDURSO5Zay7nAO68u7o58qtXmUCfbXl8+M7uqO3izETybbqqM2H83jPz/uZ2NKHuBaWm78VfE82L8FgX46L9dOCCGEEKLhkNBdA40ldFf4bns6T3+1HavdSfumJj4Z26NOz2z9f9tO8MSX21AUePSalky6vpW3q9SgOZ0KezML3QF8Y0oepWfMjN40yJe+LU6H8HBT3f37aSx2nSjgrZ/288v+kwDoNWrG9I7jr4NaEmZsOCsXCCGEEELUFRK6a6CxhW6ALcdO8eBnm8ktsRJp8uGTcd3r5JJbP+/J4qH/bsHhVBjXpxkv39xOWlivMJvDyfa08pnRD+fwZ+opbA7Pt42W4QFc1cK1Rnjv5iEE+kqL6pVy5GQxb/10gGU7MwDQqFWM7BbDo9cm0jTI18u1E0IIIYRouCR010BjDN0AaXml3DcvmYPZxfjpNcwc1YXBbSO8XS23DYdzGTd3E1a7k1u7NOWtkZ1kXHEdUGq1s/noKXd39F3pnjOjq1XQoWkgfVuG0rdFCD3ig2XCrlpgtjn4YM1hPlxzGKvDiUoFwztG8+R1SSSE+nu7ekIIIYQQDZ6E7hporKEboKDMxsQFW/ntYA4qlWu89IR+CV5vTd6els/dH/9BidXB4DYRzLqnq8ymXUfll1r540gu6w+71gg/fLLEY79eo6ZrsyDu7B7LiM5N5YuTy2DdoRz+uWQXKTmuaz0gKYznb2hNm6jG9f4lhBBCCOFNDSZ0v/zyy/zrX//y2NaqVSv27dsHgNlsZtKkSSxcuBCLxcKQIUP44IMPiIi48Bbbxhy6wdV9ePJ3u1mwMRWAMb3iePnmdl4LuQezihg5ewP5pTb6NA9h7vge0lJaj2QWVJoZ/XAOGZVmRu8cG8Tk4W3pEtfEizWsv3KKLby6dA9LtqUDEGY0MHl4W27qEOX1L8qEEEIIIRqbBhW6v/76a37++Wf3Nq1WS2hoKACPPPIIy5YtY968eQQGBjJx4kTUajXr1q274Mdo7KEbXDNYf/p7Cv9evhdFgf6Jobw/pismnys7Njctr5Q7PlxPVqGFTrFB/O/+XgTI8kb1lqIoHM0tZdmOdGatOUxJ+YRst3eN4dmhrWQCtgvkdCosTE7j9R/2Umi2o1LBX3o34+khra74a1QIIYQQQrg0qNC9ZMkStm3bVmVfQUEBYWFhLFiwgDvuuAOAffv20aZNGzZs2EDv3r0v6DEkdJ+2ck8Wj33xJ2U2B4nhAcy5twexwX5X5LGzC83c8eEGUvNKSYoI4MsH+9DEX39FHlvUvuxCM9N+3M/XW44DrrXAJ16TyH394jFopSfD2ezLLOSFxbvYcuwUAG2jTLx2Wwc6xwZ5t2JCCCGEEI3chebIejFI9uDBg0RHR9O8eXPGjBlDaqqrG/SWLVuw2WwMHjzYXbZ169bExcWxYcOGs57PYrFQWFjo8SNcrmsbwVcP9yHCZOBgdjEj3l/n/rBfm/JLrfzl002k5pUSF+zH5xN6SeBuYMJNPrw5shP/97er6BIXRInVwRsr9nH9jLX8tDuTOv793xVXZnXw+g/7GDbzd7YcO4WfXsM/b2rDdxOvksAthBBCCFGP1PnQ3atXL+bNm8eKFSuYNWsWKSkp9O/fn6KiIjIzM9Hr9QQFBXkcExERQWZm5lnPOXXqVAIDA90/sbGxtfws6pf2TQP5v7/1o120idwSK6M//oPvtqfX2uOVWOzcOzeZ/VlFhBsN/HdCLyKk23GD1Sk2iG8e7sv0OzsRbjRwLLeUBz/fwtg5mziYVeTt6tUJv+zL5roZv/Lhr4exOxWubxvBz08N5P7+zdHKhIJCCCGEEPVKne9efqb8/HyaNWvG9OnT8fX1Zfz48VgsFo8yPXv25Oqrr+aNN96o9hwWi8XjmMLCQmJjY6V7+RlKLHYeX7iNn/dmAfDUdUk8ek3Lyzphk9nmYML8ZNYdyiXIT8eih/qQFGG8bOcXdVuJxc77vxzik99SsDqcaNQq/tK7GU8OTiLQr/GNVc4qNPOv73ezfKfrS8PoQB/+dUt7rqtDS/kJIYQQQgiXBtW9vLKgoCCSkpI4dOgQkZGRWK1W8vPzPcpkZWURGRl51nMYDAZMJpPHj6jK36Bl9l+68UD/BACmrzzAU4u2Y7E7Lsv57Q4nj37xJ+sO5eKv1zBvfE8J3I2Mv0HL34e2ZuVTA7i+bQQOp8K89UcZ9OYv/PePYzic9eo7wYvmcCrMX3+Ua9/6leU7M9GoVTzQP4GVTw2UwC2EEEIIUc/Vu9BdXFzM4cOHiYqKolu3buh0OlatWuXev3//flJTU+nTp48Xa9lwaNQqXripLa/d2gGNWsXiP09wzycbySuxXtJ5nU6Fv3+9g5V7stBr1Xw8rruMU23EmoX489HY7vx3Qi+SIgI4VWrjn0t2cdPM3/jjSK63q1erdp0o4NYP1jH5u90UW+x0ig3iu4lX8cJNbfGXmfuFEEIIIeq9Ot+9/Omnn2b48OE0a9aM9PR0Jk+ezLZt29izZw9hYWE88sgjLF++nHnz5mEymXj00UcBWL9+/QU/hsxefmF+O3iSv/5vK0VmO81C/Ph0XA9ahgfU+DyKovCv7/cwb/1RNGoVH97TTVrzhJvd4eR/G1OZvvIABWU2AG7qEMXzN7YmpsmVmUn/Sii22Jn+0wHmrU/BqYDRoOXvQ1txd69maNSy5rYQQgghRF3XYJYMGzVqFGvXriU3N5ewsDD69evHv//9b1q0aAGA2Wxm0qRJfPHFF1gsFoYMGcIHH3xwzu7lZ5LQfeEOZhVx3/xk0vLKMPlo+fCebvRtGVqjc0z/aT8zVx8CYMZdnbi1S0xtVFXUc3klVqav3M+Cjak4FTBo1Tw0sAUPD2yOn77+tgArisKPu7P41/e7ySgwAzCsYxQvDWsr65YLIYQQQtQjDSZ0XwkSumsmp9jCg59tZmtqPlq1in/f2p67esRd0LGf/HaEV5ftBeCVW9oxtk98LdZUNAR7Mwr51/e7+eNIHgBRgT48f2MbhneMuqyT+l0Jx0+V8vJ3u/l5bzYAccF+TBnRnoFJYV6umRBCCCGEqCkJ3TUgobvmzDYHz3y9g+/LlxJ7aGBznh3SGvU5usUuSk7j79/sAOCZIa3429Utr0hdRf2nKAordmXy6rK9nMgvA6BHfBMmD29H+6aBXq7d+dkcTuauS2HGyoOU2RzoNCoeHNCcR69JxEen8Xb1hBBCCCHERZDQXQMSui+OoijM+PkgM1cdBGBou0hm3NUZX33VELF8ZwYTF2zFqcCDA5rz/A2t610rpfA+s83Bx2uP8MGaw5TZHKhUcFf3WJ4e0orQAIO3q1etramn+Me3O9mX6VqDvGd8MP++tT2JMlO/EEIIIUS9JqG7BiR0X5rFfx7n2a93YnU46RgTyCdju3uMTf31wEnun5+MzaEwqkcsU2/rIIFbXJKMgjJe/2Ef/7fN1dPCaNDy+OBExvaJR6+tG4syFJTZmLZiHws2paIoEOSn4x83tOGObjHn7BEihBBCCCHqBwndNSCh+9IlH83jwc82c6rURnSgD5+M60HbaBObj+Zxz6cbMduc3NQxipmjusjMzOKy2Xw0j5e/382uE4UANA/z58Vhbbm6VbjX6qQoCt9tT2fK0r3kFFsAuL1rDP+4sTUhdbQ1XgghhBBC1JyE7hqQ0H15HMstYfy8ZI6cLMFfr+Gp61vx9s8HKDLbGZgUxsdju9eZVkjRcDicCl9vSeM/P+4np9i1fvw1rcP5501taB5W8yXtLsWx3BL+uWQXvx3MAVxfAvx7RAf6tAi5ovUQQgghhBC1T0J3DUjovnwKSm088r8trD+c697WI74Jn93Xq9qx3kJcLoVmG++uOsjcdUexOxV0GhX39o3n0WsTMfnoavWxrXYnH609zLurD2GxO9Fr1Uy8uiUPDWyOQSt/90IIIYQQDZGE7hqQ0H152RxO/rl4F19uTqNdtIkvHuxd66FHiAqHTxbz6tI9/LL/JAChAXr+PqR1rY2l3ngklxeW7OJQdjEAV7UM4dURHUgI9b/sjyWEEEIIIeoOCd01IKH78lMUhf1ZRSSE+ktLn/CKX/ZlM2XpHo7klADQoWkgL9/clm7Ngi/L+fNKrExdvpevthwHXOH+nze15ZbO0TJRoBBCCCFEIyChuwYkdAvRMFntTuavP8rMVQcpstgBuKVzNM/d0JqoQN+LOqeiKHy95TivLd/LqVIbAKN7xvHc0NYE+kmPDiGEEEKIxkJCdw1I6BaiYTtZZOHNH/ezaEsaigK+Og1/HdSCBwY0x0d34T0xDmUX88LinWxMyQOgVYSR125rf9laz4UQQgghRP0hobsGJHQL0TjsPF7Av77fzeZjpwCIaeLLCze2YWj7yHN2CTfbHLz/yyE+/PUwNoeCj07NE4OTmNAvAZ1GZuQXQgghhGiMJHTXgIRuIRqPinW0py7fR2ahGYA+zUN4aXhb2kRVff3/dvAk/1yyi2O5pYBrObJ/3dyO2GC/K1pvIYQQQghRt0jorgEJ3UI0PqVWOx+uOcyHa49gtTtRq2BMr2Y8dV0STfz1ZBeZeXXpXr7bng5AhMnAy8PbnbdVXAghhBBCNA4SumtAQrcQjVdaXimvLd/LD7syAQj01XFb16Z8s+U4hWY7ahWM7RPPpOuTMMrSd0IIIYQQopyE7hqQ0C2EWH84h1e+38O+zCL3tvZNTbx2awc6xgR5r2JCCCGEEKJOutAcqb2CdRJCiDqrb4tQlj7ajy+S0/hmy3Fu7hTN2D7N0MpEaUIIIYQQ4hJISzfS0i2EEEIIIYQQomYuNEdKE44QQgghhBBCCFFLpHs5riWEwPVNhRBCCCGEEEIIcT4V+fF8nccldANFRa6Jk2JjY71cEyGEEEIIIYQQ9UlRURGBgYFn3S9jugGn00l6ejpGo7FOr79bWFhIbGwsaWlpMvb8MpNrW7vk+tYeuba1S65v7ZFrW3vk2tYuub61R65t7ZLre/kpikJRURHR0dGo1WcfuS0t3YBarSYmJsbb1bhgJpNJXii1RK5t7ZLrW3vk2tYuub61R65t7ZFrW7vk+tYeuba1S67v5XWuFu4KMpGaEEIIIYQQQghRSyR0CyGEEEIIIYQQtURCdz1iMBiYPHkyBoPB21VpcOTa1i65vrVHrm3tkutbe+Ta1h65trVLrm/tkWtbu+T6eo9MpCaEEEIIIYQQQtQSaekWQgghhBBCCCFqiYRuIYQQQgghhBCilkjoFkIIIYQQQgghaomEbiGEEEIIIYQQopZI6BZCCCGEEEIIIWqJhG4hhBBCCCGEEKKWSOgWQgghhBBCCCFqiYRuIYQQQgghhBCilkjoFkIIIYQQQgghaomEbiGEEEIIIYQQopZI6BZCCCGEEEIIIWqJhG4hhBBCCCGEEKKWaL1dgbrA6XSSnp6O0WhEpVJ5uzpCCCGEEEIIIeo4RVEoKioiOjoatfrs7dkSuoH09HRiY2O9XQ0hhBBCCCGEEPVMWloaMTExZ90voRswGo2A62KZTCYv10YIIYQQQgghRF1XWFhIbGysO0+ejYRucHcpN5lMErqFEEIIIYQQwsvySqw08dPVi+G/56ujTKQmhBBCCCGEEKJOKCiz8eaP++n3xmpW7c32dnUuiwYVut9//33i4+Px8fGhV69ebNq0ydtVEkIIIYQQQghxHqVWO7PWHGbAtF9475dDlFod/LAr09vVuiwaTPfyL7/8kqeeeooPP/yQXr168fbbbzNkyBD2799PeHi4t6snhBBCCCGEEOIMVruThcmpvLv6ECeLLAAkRQQw6fpWXN82wsu1uzxUiqIo3q7E5dCrVy969OjBe++9B7iWAYuNjeXRRx/lueeeO+exhYWFBAYGUlBQcM4x3Q6HA5vNdlnrLYQQdZlOp0Oj0Xi7GkIIIYRoYBxOhcV/nuDtnw9w/FQZALHBvjx1XRI3d2qKRl33x3JfaI5sEC3dVquVLVu28Pzzz7u3qdVqBg8ezIYNGy75/IqikJmZSX5+/iWfSwgh6pugoCAiIyPrxUQmQgghhKjbFEXhx92ZvPnTAQ5lFwMQbjTw6LWJ3NU9Fr22QY2ABhpI6M7JycHhcBAR4dn9ICIign379lUpb7FYsFgs7vuFhYXnPH9F4A4PD8fPz08+eAohGgVFUSgtLSU72zWJSVRUlJdrJIQQQoj6SlEUfjuYw39+3M/OEwUABPnpeGRgC8b2icdX33B71jWI0F1TU6dO5V//+tcFlXU4HO7AHRISUss1E0KIusXX1xeA7OxswsPDpau5EEIIIWps89E8/vPjfjam5AHgr9cwoX9z7u+fgMlH5+Xa1b4GEbpDQ0PRaDRkZWV5bM/KyiIyMrJK+eeff56nnnrKfb9iUfPqVIzh9vPzu4w1FkKI+qPi/c9ms0noFqIOszmcrNqbxReb0thwJJcQfz0xTXyJaeJX/vv07ahA3wbZhVMIUbfsTi/grZ8OsHqfq9ecXqtmbO9mPDKoBSEBBi/X7sppEKFbr9fTrVs3Vq1axYgRIwDXRGqrVq1i4sSJVcobDAYMhpr9I0uXciFEYyXvf0LUbUdzSliYnMbXW46TU3x6+FxGgZmMAjPJR09VOUalgkiTj4RyIUStOHKymOkrD7B0RwYAGrWKO7vH8ti1LYkK9PVy7a68BhG6AZ566inGjRtH9+7d6dmzJ2+//TYlJSWMHz/e21UTF0GlUrF48WL3lyj1RXx8PE888QRPPPGEt6sihBCiAbPYHfy4O4uFm1JZfzjXvT00wMDI7jHc3Ckas83B8VNl5T+lHr8tducFh/KmQZWDeXkoD/LBoJWeL0IIT+n5ZcxcdZCvthzH4XQtknVzp2ievC6JhFB/L9fOexrMV5h33XUXb775Ji+99BKdO3dm27ZtrFixosrkao3Jvffei0qlQqVSodPpSEhI4O9//ztms9nbVTuvjIwMbrjhBm9X46zmzZtHUFBQle3Jyck8+OCDtf748fHxvP3227X+OGe69957Pb4Iqfgbe/311z3KLVmyxN06+s0336DRaDhx4kS150xMTHQP9xg0aJD7b7byz8MPP+wur1Kp8PHx4dixYx7nGTFiBPfee6+7zLl+Xn75Zfdx8+fPp0ePHvj5+WE0Ghk4cCBLly71OPeaNWs8jg8LC+PGG29k586dAEyYMIEOHTpgtVo9jlu+fDl6vZ6tW7dy9OhRVCoV27ZtA3DfDw8Pp6ioyOO4zp07e9Sx8nUxGAw0bdqU4cOH8+2331a5nmd7zgsXLgRg1qxZBAUFkZaW5nHco48+SlJSEqWlpdX9Mwkh6ohD2UVMWbqH3q+t4rEv/mT94VxUKhiYFMaH93Rjw/PX8OzQ1rSJMtElrgnDO0XzyKAW/PvWDsy/ryerJg1i35ShJL8wmMV/7cu7o7vw3A2tuad3HINahdEyPAAfnRpFwR3Il2xL571fDvHctzu559ONDHpzDa1fXEHv11Zxx6z1PLHwT978cT8LN6Xy+8EcjuaUYLE7vH2phBBXUE6xhVe+38Og/6xhYXIaDqfC4DbhLH+sPzNHd2nUgRsaUEs3wMSJE6vtTt6YDR06lLlz52Kz2diyZQvjxo1DpVLxxhtveK1OVqsVvV5/zjLVjcWvD8LCwrxdhSvOx8eHN954g4ceeogmTZpU2X/zzTcTEhLC/Pnz+cc//uGxb+3atRw6dIgJEya4tz3wwAO88sorHuXOnFNBpVLx0ksvMX/+/GrrlJGR4b795Zdf8tJLL7F//373toCAAACefvpp3nvvPV599VVGjBiBzWbjv//9L7fccgvvvPNOlfeT/fv3YzKZSE9P55lnnuGmm27i0KFDzJgxg44dOzJ58mSmTp0KQH5+Pg888AAvvvgiXbt25ejRo9XWtaioiDfffPO8kztWXBe73c7x48dZvHgxo0aN4t577+Wjjz7yKDt37lyGDh3qsa3iS6KHH36YxYsXM2HCBH766ScAVq1axaxZs1i7dq3MXyFEHWS2OVi2I4OFyakerdJRgT6M7B7Lnd1jiGly4a9dlUpFmNFAmNFAl7iq79uKopBbYq22hbzittnmJLPQTGahmc3Hqm8pjzD6VOm2Li3lQjQshWYbH689wqe/p1BqdX3Z1rt5MM8MaU23ZlXfXxotRSgFBQUKoBQUFFTZV1ZWpuzZs0cpKyvzQs0uzbhx45RbbrnFY9ttt92mdOnSxX3f4XAor732mhIfH6/4+PgoHTt2VL766iuPY3bt2qXcdNNNitFoVAICApR+/fophw4dUhRFUQYOHKg8/vjjHuVvueUWZdy4ce77zZo1U1555RXlL3/5i2I0GpVx48YpFotF+dvf/qZERkYqBoNBiYuLU1577TX3MYCyePFiRVEUpU+fPsrf//53j8fIzs5WtFqt8uuvvyqKoihms1mZNGmSEh0drfj5+Sk9e/ZUfvnll3Nen1OnTikTJkxQQkNDFaPRqFx99dXKtm3b3Pu3bdumDBo0SAkICFCMRqPStWtXJTk5Wfnll18UwONn8uTJ7uc6Y8YMj+fx4YcfKjfddJPi6+urtG7dWlm/fr1y8OBBZeDAgYqfn5/Sp08f9/VUFEU5dOiQcvPNNyvh4eGKv7+/0r17d2XlypXu/QMHDqzy+BV+++03pV+/foqPj48SExOjPProo0pxcbF7//vvv6+0bNlSMRgMSnh4uHL77bef8xqd6cy/qXHjxinDhg1TWrdurTzzzDPu7YsXL/ao11NPPaUkJiZWe75evXp5PLcz/57OBChPP/20olarlZ07d7q3n/l3V2Hu3LlKYGBgle0bNmxQAGXmzJlV9j311FOKTqdTUlNTFUVR3P/mp06dcpf57rvvFEDZvn27oiiKsnr1akWn0yl//PGH+7n16NFDsdlsiqIoSkpKigIof/75p8f9Z555RgkICFCysrLc5+7UqZP7b+pc12XOnDkK4PH3Ufm1czapqamKyWRSZs2apRQUFChxcXEe/35nqs/vg0LUZ3vSC5SXluxU2k9eoTR7dqnS7NmlSvPnlykT5iUrq/ZmKnaH0yv1cjqdyskis/Jn6inl++0nlFlrDin/XLxTuXfORmXwW2uU1v/8wV3fs/3EP7dU6fXvn5XbP1inPP7FVmX6T/uVX/dnK4VlVq88JyFEzZRa7MqsNYeUji//6H5dD3/3N2XtgWzF6fTOe5M3nCtHVtagWrrFue3atYv169fTrFkz97apU6fy3//+lw8//JDExETWrl3LPffcQ1hYGAMHDuTEiRMMGDCAQYMGsXr1akwmE+vWrcNut9fosSu6/k+ePBmAmTNn8t1337Fo0SLi4uJIS0ur0t21wpgxY5g2bRqvv/66u8vyl19+SXR0NP379wdcvRz27NnDwoULiY6OZvHixQwdOpSdO3eSmJhY7XlHjhyJr68vP/zwA4GBgcyePZtrr72WAwcOEBwczJgxY+jSpQuzZs1Co9Gwbds2dDodffv25e233/ZoPa1oOa3OlClTmD59OtOnT+fZZ5/l7rvvpnnz5jz//PPExcVx3333MXHiRH744QcAiouLufHGG/n3v/+NwWDgs88+Y/jw4ezfv5+4uDi+/fZbOnXqxIMPPsgDDzzgfpzDhw8zdOhQXn31VebMmcPJkyfdvT/mzp3L5s2beeyxx/j888/p27cveXl5/Pbbb+7j582bx/jx41EU5UL/WQHQaDS89tpr3H333Tz22GPExMRUKTNhwgSmT5/O2rVrGTBggPt5fv3118yYMaNGjwdw1VVXceDAAZ577rkqXcEv1BdffEFAQAAPPfRQlX2TJk1i+vTpfPPNN9WOzy8oKHB3167otXH11Vfz17/+lXHjxjFlyhQWLVrE1q1b0WrP/TY7evRoVq5cySuvvMJ7771Xo+cwbtw4Jk2axLfffsvgwYMv+LjY2FjefvttHnvsMZYvX05AQABTpkyp0WMLIWpHicXO0h3pLNiUxva0fPf2mCa+jOoRy8jusUSYfLxXQVwt5aEBBkIDDHSODaqyX1EU8twt5dW3lpfZHNW2lKtV0CbKRI/44PKfJoR7+fkKIU6z2p18mZzKzNWHOFnkmrgxMTyASde3Yki7CJl89SwkdF8ERVEos3lnrJKvTlOjP+alS5cSEBCA3W7HYrGgVqvdH+wtFguvvfYaP//8M3369AGgefPm/P7778yePZuBAwfy/vvvExgYyMKFC9HpXGvoJSUl1bje11xzDZMmTXLfT01NJTExkX79+qFSqTy+CDjTnXfeyRNPPMHvv//uDtkLFixg9OjRqFQqUlNTmTt3LqmpqURHRwOubsMrVqxg7ty5vPbaa1XO+fvvv7Np0yays7PdM9m/+eabLFmyhK+//poHH3yQ1NRUnnnmGVq3bg3gEd4DAwNRqVQX1A1+/Pjx3HnnnQA8++yz9OnThxdffJEhQ4YA8Pjjj3tM+NepUyc6derkvj9lyhQWL17Md999x8SJEwkODkaj0WA0Gj0ef+rUqYwZM8YdEhMTE5k5cyYDBw5k1qxZpKam4u/vz7BhwzAajTRr1owuXbp4PKdWrVqd9/lU59Zbb6Vz585MnjyZTz/9tMr+tm3b0rt3b+bMmeMO3YsWLUJRFEaNGuVR9oMPPuCTTz7x2DZ79mzGjBnjsW3q1Kl07NiR3377zf13URMHDhygRYsW1Q51iI6OxmQyceDAAY/tFV8olJSUAK6u8xV/HxV1WrFiBaNGjeKtt97y2Hc2FWPihw8fzpNPPkmLFi0u+Dmo1WqSkpKqdF0fPXp0laW99uzZQ1xcnPv++PHj+eijj/j+++/ZuHFjjVd0EEJcPoqisPNEAV9sSuO7bScoKe+iqVWruL5dBKN6xNGvZShqdf34MKtSqQgJMBASYKDTBYby/ZlFbD52itS8UnanF7I7vZB5648CEBfsR/f4JvSMD6Z7fDAtwvzlg/15OJ0Kx/JK2ZNeyOGTxQT56dzd+5sG+eJvkAggasbhVFjy5wlm/HyA46fKAIgN9uXJwUnc0rkpmnry/uQt8oq7CGU2B21f+tErj73nlSH46S/8n+3qq69m1qxZlJSUMGPGDLRaLbfffjsAhw4dorS0lOuuu87jGKvV6g5j27Zto3///u7AfbG6d+/ucf/ee+/luuuuo1WrVgwdOpRhw4Zx/fXXV3tsWFgY119/Pf/73//o378/KSkpbNiwgdmzZwOwc+dOHA5HlS8DLBYLISEh1Z5z+/btFBcXV9lfVlbG4cOHAdeM+Pfffz+ff/45gwcPZuTIkTUKRBU6duzovl0xsV+HDh08tpnNZgoLCzGZTBQXF/Pyyy+zbNkyMjIysNvtlJWVkZqaes7H2b59Ozt27OB///ufe5uiKDidTlJSUrjuuuto1qwZzZs3Z+jQoQwdOpRbb73VPYb31ltv5dZbb63x86vwxhtvcM011/D0009Xu/++++7jySef5N1338VoNDJnzhxGjhyJ0Wj0KDdmzBheeOEFj23VTYjYtm1bxo4dy3PPPce6desuqs41bdX/7bff8PPz448//uC1117jww8/9Njv6+vL008/zZNPPsnjjz9+wecdMmQI/fr148UXX2TBggU1qpOiKFU+fM6YMaNKy3fFF1IVtm/fztatW/Hz8+O3336jZ8+eNXpcIcSlKzTb+L9t6XyxMZU9GYXu7Qmh/ozqEcvt3WIIbYDr2J4rlGcWmNl8LI/NR0+RfDSPvRmFpOaVkppXyrdbXRNyNvHT0b28FbxHfDDtogMb9fJmFruDA5nF7MkoYHd6IXvSC9mbUej+8qY6we413KsuGSehXFSmKAo/7s7krZ8OcDC7GIAwo4HHrmnJXT3iGvVrrybkFdXA+fv707JlSwDmzJlDp06d+PTTT5kwYQLFxa4XzrJly2jatKnHcRWtXr6+515HT61WVwkuNput2npU1rVrV1JSUvjhhx/4+eefufPOOxk8eDBff/11tY8zZswYHnvsMd59910WLFhAhw4d3MG1uLgYjUbDli1bqrTuna3bd3FxMVFRUaxZs6bKvooJp15++WXuvvtuli1bxg8//MDkyZNZuHBhjYNp5S8sKsJRdducTifgaqVfuXIlb775Ji1btsTX15c77rijyszY1T2nhx56iMcee6zKvri4OPcs2mvWrOGnn37ipZde4uWXXyY5ObnamdhrasCAAQwZMoTnn3/ePYt4ZaNGjeLJJ59k0aJFDBgwgHXr1rknHassMDDQ/Td7Pv/6179ISkpiyZIlNa5vUlISv//+e7UT+6Wnp1NYWFjli5yEhASCgoJo1aoV2dnZ3HXXXaxdu9ajjFarRaOpWY8UgNdff50+ffrwzDPPXPAxDoeDgwcP0qNHD4/tkZGR57yGVquVsWPHMmbMGAYOHMjDDz/MsGHDLrqngxDiwimKwtbUfL7YlMqyHRnunnN6rZob2kcyqkccvZsHN9qW3MhAH4Z1jGZYR9cXhUVmG1tT89l8NI/ko3n8mZrPqVIbK/dksXJPFgA+OjWdY4PcXdK7xAVh9Lm0xoK6qqDUxu6MAvaUh+s9GYUcyi7G7qz6JbJBq6Z1pJHECCNFZpu7Z0FBmY28Eit5JVZ2HC+o9nEqQnlsNWu4N23iW6MGIFE/KYrC74dy+M+P+91/J4G+Oh4Z1IJxfeLx1ctEiDUhr5iL4KvTsOeVIV577IulVqv5xz/+wVNPPcXdd99N27ZtMRgMpKamMnDgwGqP6dixI/Pnz8dms1Xb2h0WFuYxU7TD4WDXrl1cffXV562PyWTirrvu4q677uKOO+5g6NCh5OXlERwcXKXsLbfcwoMPPsiKFStYsGABY8eOde/r0qULDoeD7OzsC+5m3LVrVzIzM9FqtcTHx5+1XFJSEklJSTz55JOMHj2auXPncuutt6LX63E4ameIwbp167j33nvd4b64uLhK9+HqHr9r167s2bPnnGFLq9UyePBgBg8ezOTJkwkKCmL16tXcdtttl6Xur7/+Op07d642vBmNRkaOHMmcOXM4fPgwSUlJF9UtvLLY2FgmTpzIP/7xjxr3Qhg1ahQzZ85k9uzZPProox773nzzTXQ6nbtXSHX+9re/MXXqVBYvXnxJPQQq9OzZk9tuu43nnnvugo+ZP38+p06dOmc9q/PKK6+Ql5fHjBkzCAwM5JtvvmH8+PH8/vvvqNXyjbUQtSG/1Mq3W0+wMDmVA1nF7u2J4QGM7hnHrV2a0sT/3Ct7NEZGHx0Dk8IYmORaHcRqd7IrvaA8hJ9i89E8TpXa+ONIHn8cyQM8x4V3L28N9/Y4+JpSFIX0AjO7TxSwJ6PQ3YJ9Ir+s2vJBfjraRZtoG2WiXXQgbaNNNA/1R6up+p5eaLZxoprx9ml5rt+FZvt5Q3mIu6VcQnlDtOVYHv/5cb/7NeWn13B/vwTuH9AcUwP9Qqu2ySviIqhUqnr7ZjJy5EieeeYZ3n//fZ5++ml3V1in00m/fv0oKChg3bp1mEwmxo0bx8SJE3n33XcZNWoUzz//PIGBgfzxxx/07NmTVq1acc011/DUU0+xbNkyWrRowfTp08nPzz9vPaZPn05UVBRdunRBrVbz1VdfERkZedYWV39/f0aMGMGLL77I3r17GT16tHtfUlISY8aMYezYsbz11lt06dKFkydPsmrVKjp27MhNN91U5XyDBw+mT58+jBgxgmnTppGUlER6ejrLli3j1ltvpV27djzzzDPccccdJCQkcPz4cZKTk93hJj4+nuLiYlatWkWnTp3w8/O7bEstJSYm8u233zJ8+HBUKhUvvviiuxW8Qnx8PGvXrmXUqFEYDAZCQ0N59tln6d27NxMnTuT+++/H39+fPXv2sHLlSt577z2WLl3KkSNHGDBgAE2aNGH58uU4nU53QF68eDHPP/88+/btu+i6d+jQgTFjxjBz5sxq90+YMIH+/fuzd+9enn322WrLlJaWkpmZ6bHNYDBUuxwZwPPPP8/HH39MSkoKd9111wXXtU+fPjz++OM888wzWK1WjyXD3nnnHd5++21iY2PPeryfnx8PPPAAkydPZsSIEZelVerf//437dq1q3bytYrrUnnJsBkzZvDII49U+ZIrPz+/yjU0Go34+/uTnJzMG2+8wbJlywgMDARcY+bbt2/PjBkzPOZeEEJcGkVR2JiSx8JNqSzflYnV7nov99GpGdYxmtE9Y+ka16TRtmpfDL1WTde4JnSNa8KDA1zX+PDJYpLLu6NvPnruceEVreF1aVy4zeHkyMkSdqe7WrB3l7dgF5RV7TkIrkn1XAE70PU72kRUoM8FPx+Tjw5TlI42UaZq9xeUVYTy0monwys028ktsZJbYmX7+UJ5sOdScbFNfGka5CetpHXUnvRC3vppP6v2ZQOu19tfejfjkUEtGuRQlyupfiZHcdG0Wi0TJ05k2rRpPPLII0yZMoWwsDCmTp3KkSNHCAoKomvXru71lENCQli9ejXPPPMMAwcORKPR0LlzZ6666irANU53+/btjB07Fq1Wy5NPPnlBrdxGo5Fp06Zx8OBBNBoNPXr0YPny5edsZRszZgw33ngjAwYM8JgQClzrEr/66qtMmjSJEydOEBoaSu/evRk2bFi151KpVCxfvpwXXniB8ePHc/LkSSIjIxkwYAARERFoNBpyc3MZO3YsWVlZhIaGctttt7nXUu7bty8PP/wwd911F7m5uUyePJmXX375Qv4Jzmv69Oncd9999O3b1x2mCwsLPcq88sorPPTQQ7Ro0QKLxYKiKHTs2JFff/2VF154gf79+6MoCi1atHAH0aCgIL799ltefvllzGYziYmJfPHFF7Rr1w5wzchdeS3ri/XKK6/w5ZdfVruvX79+tGrVikOHDnn0Vqjs448/5uOPP/bYNmTIEFasWFFt+eDgYJ599tkqa4BfiLfffpuOHTvywQcf8M9//hONRkPXrl1ZsmQJw4cPP+/xEydOZPr06Xz11VfuyfIuRVJSEvfdd1+Vdbfh9HXR6/WEhITQrVs3vvzyy2pb2StPzFdh6tSpPPnkk4wbN47x48d7zKEQFRXFu+++y4QJE6SbuRCXQU6xhW+2HOfL5DSO5JS4t7eNMjG6Zyw3d25KoK+0Fl0OKpWKluFGWoYbGd3T9dmgLo8LL7HY2Zd5uuV6d3oh+7OK3F/IVKZVq2gZHuBuuW4b5QrYtf23E+irI9BXR9voCw/laRW380opspw/lIcG6GlaTSu5hHLvSMkpYcbKA3y3PR0AjVrFyG4xPHZtItFB5x5qKi6MSqnpTEINUGFhIYGBgRQUFGAyeb7BmM1mUlJSSEhIwMenfnVNEkKIy0HeB4U4P6dTYd3hHBZuSuOnPZnYHK6PV/56DTd3bsronrF0aBpYZ1pXG5PqAAzBvgAAMc9JREFUxoVbzgi5tTEuPLvI7NFyvSe9kKO5JVT3yTvAoKVNlNEVsMvDdWJEAAZt/QufBWW2s7SSnw7l52P00RJh8iHCZCDc6EO4yUBExW+Tj/u2zyUMuxSQnl/Gu6sPsmjzcRzl8wIM7xTNk4MTaR529uVwxWnnypGVSUu3EEIIIcRFyi4089WW4yxMTiUt7/R4206xQYzuEcvwTtEyE7SX1fa4cKdT4WhuicfY693pheQUW6otH2EyeIy9bhtlIi7Yr94sCXc+rpbyQNpFB1a7v7pQXjGe/PipMootdorMdorMxRzKLq72HBVM5eH8dCj3IdxoOGObhPMz5RZb+GDNYT7/45i7l8U1rcOZdH3SWf/dxKWRlm6kpVsIIc5F3geF8ORwKvx6IJsvNqWxel+2u4XI6KPl1i5NGdUj7qxdc0Xdc7Zx4WeqPC5cBe4W7L0ZhZRWszyXSgXNQ/1pW956XTH+WsbGnp2iKBRZ7GQXWsguNJNVZCa70EJWoYWsIjMny39nFZox26p2yT8bk7vl3BXKwyu1okeUt56HGRt+OC802/hk7RE+/T3FvaRcz4Rg/j6kFd3jq05kLM7vQlu6JXQjoVsIIc5F3geFcDmRX8ai5DQWbU4jo8Ds3t4jvgmjesRxY4coGYvaQFQ3LryaVbncDFo1raNOj7tuF22idaSx3k68W9edDudmsgotZBe5fmcVmskusri3ZxWaqwwlOJdAX51nl/ZKLecV2y8lnDucCha7A6vdicXuxGJzYrE7XLfdv8/c7iwv7yjffnrf6fM4qt9ezTEVya9D00CeGdKK/omhMuzlEkj3ciGEEEKIy2B7Wj7vrDrIL/uz3R9Ym/jpuK1rDKN6xJIYYfRuBcVld671wrccO4VKhXv8dbtoEwlnWZ5L1A6VSuWahd1HR8vws7/+FEWh0OwK59lFrhBeEdKzzwjrFruTgjIbBWU2j2X9qhPkp3OHcX+9FqujasA9HXxPh+Lq1lO/0lqGB/D09UkMaRcpYfsKktAthBBCCFGNQ9lFvPnjAVbsPr0EX5/mIYzuFceQdhH1cpIrcXHOHBcu6geVSuWejf1cX45VDudntpyfrAjr5UHdYneSX2ojv/T84fxctGoVeq0ag1aNQavBoHPd1lfcr7TPXU53ep9HOd0Z5c44p6FS2TCjQcK2F0jovkDSC18I0VjJ+59obE7kl/H2ygN8s/U4TsU1qdatXWKYeE1LEkL9vV09IcRlVqNwXmavNNbcTKnNUTXoajwD8pnBWa9RS8+IRkZC93nodK7lIkpLS/H1lXXqhBCNT2mpa0KhivdDIRqq3GIL7/9ymP/+cQyrwzUOdEi7CJ6+vpV0IRdCuMK5n45APx1J8p4gakBC93loNBqCgoLIzs4GwM/PT7pkCCEaBUVRKC0tJTs7m6CgIDQa6UorGqYis41Pfkvhk9+OuGf07dM8hL8PbUWXuCZerp0QQoj6TkL3BYiMjARwB28hhGhMgoKC3O+DQjQkZpuD//5xjPd/OcSpUhvgmtH370Nb0a+lzOgrhBDi8pDQfQFUKhVRUVGEh4djs9m8XR0hhLhidDqdtHCLBsfucPLN1uO88/NB0suX/moe5s/T17fihvYyo68QQojLS0J3DWg0GvnwKYQQQtRTiqLww65M3vxpP0dOlgAQFejDE4MTub1rjExsJIQQolZI6BZCCCFEg6YoCr8fyuE/P+5nx/ECwLXO9t+ubsk9vZvho5Mv1IUQQtQeCd1CCCGEaLD+TD3FtBX72XAkFwB/vYb7+zfn/v4JGH1kRn4hhBC1T0K3EEIIIRqcA1lFvPnjfn7akwWAXqPmnt7N+NvVLQgJMHi5dkIIIRoTCd1C4JrB9vDJYkw+OsKMBulqKIQQ9VRaXilv/3yQxX8ex6mAWgW3d43h8cGJxDTx83b1hBBCNEISukWjdjCriC82pfHtn8fJLz09M72/XkOo0UBogIHQAD2hAQZCAgyEld8ONRoI8dcTajRgNGhlplshhPCynGIL760+xP82HsPmUAAY2i6Sp4ck0TLc6OXaCSGEaMwkdItGx2xz8MOuDBZsTCX56Cn3dqOPFovdidXupMTqoCS3lGO5pec9n16rJqw8nIdUCumuoK537SsP8EG+OtRqCehCCHG5FJptfLL2CJ/8nkKp1QHAVS1DeGZIazrHBnm3ckIIIQQSukUjciCriC82pfLt1hMUlLlatTVqFde0DufunnEMSApDrYIii52cIgs5xVZyiy3kFFs4WWwlp9hSft91O6fIQonVgdXu5ER+GSfyy85bB41aRbC/3t2CHlYezCtCuiucu+4H++vRyfI1QghRLbPNwWcbjvLBmsPunkqdYgL5+9DWXNUy1Mu1E0IIIU6T0C0aNLPNwbIdGXyxKZXNx063ajcN8mVUj1hGdo8lMtDH4xiTjw6Tj47mYec/f5nV4QrglcJ4RTA/WR7Mc0tc2/NLbTicCieLLJwsslxQ/Zv46dwt5hXBPKw8mDcN8qNNlFEmBBJCNCp2h5OvthznnZ8PklloBqBleABPX5/EkHaRMtxHCCFEnVMrofvo0aNMmTKF1atXk5mZSXR0NPfccw8vvPACer3eXSYhIaHKsRs2bKB3797u+1999RUvvvgiR48eJTExkTfeeIMbb7zRvV9RFCZPnszHH39Mfn4+V111FbNmzSIxMbE2npqoJ/ZnVrRqH6fQbAdcrczXtg7n7l5x9E8MQ3MZunn76jXEBvsRG3z+yXmsdid55QE854wW84pgfrK8hT2vxIJTgVOlNk6V2jiYffbzhhsNtIky0SbKRNtoE22jjCSEBlyW5ydEY2S1OzmaW8KBrCLS8sqID/Gja7MmRJh8zn+wqDVOp8LyXRlM/+kAR3JKANcXqI8PTuS2Lk3RSs8gIYQQdVSthO59+/bhdDqZPXs2LVu2ZNeuXTzwwAOUlJTw5ptvepT9+eefadeunft+SEiI+/b69esZPXo0U6dOZdiwYSxYsIARI0awdetW2rdvD8C0adOYOXMm8+fPJyEhgRdffJEhQ4awZ88efHzkA1JjUmZ1sGynq1V7yxmt2qN7ulq1vfmhWa9VExnoU6VlvTpOp8KpUuvpYH5GSM8ptnA0t5SjuSVkF1nILjrJrwdOuo83aNW0ijTStjyMt4ky0TrKiEnWpBXCzWp3kpLz/+3dd3xUVRo38N8M6b1OCikECAmRmoBJCFIECYgFC2ooUvKiq66rKxayoKjvrgq8yloWkZWOWLDALou4obgIhAAhCZBQAqmkkzppk0zmvH9McmEgaCK5Mym/7+czn5B7z8yc82SYmec+955Ti4wSNS4W1+BSy8/sq7XQ6sRN7fs6WWOknxPC/J0R6ueMwV4OsDBjoic3IQQOZVzFyr3nkVZQDQBwsbXAHycOxOwIP1iacbUJIiLq2hRCiJu/Wchg1apV+PTTT5GZmQngWqU7OTkZI0aMaPM+jz/+OGpra7F7925pW0REBEaMGIG1a9dCCAFvb28sXrwYL7/8MgCgqqoKHh4e2LRpE5544ol29a26uhqOjo6oqqqCg4PD7Q2UjO58UTW+TMzF98n5UF9X1b5nsAdiwv1w10C3Hjt5Wa1Gi/NFapwrrJZu54vU0mRCN/JxtjZIxEO8HODrYs3TMalH02ibkX21DheL1cgoViOjpAYXi9XILqtDcxvJNQDYWZphoMoOvi42yChW42KxGjc2tTRTYpiPI0L9nDHSzxmh/k5Q2fNgb2dKyqnAyr3nkZhVDkD/d1l0V3/E3hUAO0teIUdERKbV3jzSaJ9YVVVVcHFxuWn7Aw88gIaGBgwaNAivvvoqHnjgAWlfQkICXnrpJYP20dHR2LlzJwAgKysLRUVFmDx5srTf0dER4eHhSEhIuGXSrdFooNFcu6a2urr6doZGJlDf2Izdpwvw5fFcnMqtlLb7OFsj5k4/zAzzgaoXnApqa2mGMH9nhPk7S9t0OoGc8jopCU8v0P8sqGrAlYp6XKmox3/Ti6X29pZmCPayN0jEgzztuVY5dTsabTOyrtbqq9bF+qp1RslvJ9eBHnYIVNlhkIc9Aj3sEaiyg5ejlcHBqBqNFql5lTiVU4FTuRVIzqtEZV0TTmRXGKyC4ONsjVA/Z4T6OSHUX18N54SIHXehSI1VP13AvnP69yoLMyXmRvjj2QkDOI8FERF1O0ZJui9duoSPP/7Y4NRyOzs7vP/++4iKioJSqcR3332HGTNmYOfOnVLiXVRUBA8PD4PH8vDwQFFRkbS/ddut2rTl3XffxVtvvdUpYyPjOldYjS+P5+KH66raZkoF7gnxQMydfhjbg6va7aVUKhDgZosAN1vcO9RL2l5Z14hzhWqkX1cVzyiugVqjvSlxUCqAADfbG64Vd4DK3pJVcTI5jbYZmaW1yCip0Veui2twsUSNnF9Jru2l5Npe/9PDHoM87ODpYNWu17SdpRmiBrpJs2ILIZB5tbYlCa9Ecm4FLhSrpQNb/0otAABYmSsxzMfJIBF3Y9J4S3nldVgdfxE/pORDCP170cwwX7wwORDeTtam7h4REdHv0qGke8mSJVixYsWvtjl37hyCg4Ol3/Pz8zF16lTMnDkTixYtkra7ubkZVLFHjx6NgoICrFq1yqDaLYe4uDiD566uroavr6+sz0m/X12jFrtTC7H9eC5S8iql7X4uNnjiTl88GubDUzrbwcnGApEDXBE54Nq8CU3NOlwurWlJwtVSZbysthGXS2txubQWu08XSu1dbC0w2MvwWvGBKjtW8kgWDU2tlWt9Yp1Rov+ZXVZ706nerVqT60Ee9hgoVa/bn1y3l0KhwAB3Owxwt8PMUfrPD3VDE1LzqpDUWg3PrUB1gxbHs8pxvOX0aED/3tWagIf6OSPY077XTwJWqtbgkwMZ2H48F03N+j/uvUM98dI9QRiosjNx74iIiG5Ph5LuxYsXY/78+b/apn///tK/CwoKMHHiRIwZMwbr1q37zccPDw9HfHy89LunpyeKi4sN2hQXF8PT01Pa37rNy8vLoM2trhMHAEtLS1hastLQ1aUX6KvaO5PzodZcq2pPuUNf1Y4awKr27TLvo0SwpwOCPR3w0Ej9NiH0y5qltyTirZXxzNIalNc24silMhy5VHbdYygQqGo9Pf1aQu5sa2GiUVF309DUWrluqVoXq3Gp5DeSayszfUKtula1DlTZw8PBdGdj2FuZY2ygG8YG6qvhOp1A5tUanMqpxKlcfSKeUVKD3PI65JbXYWeKvhpubd5Hf214SxIe6ufUa06hrqpvwj8PZWL94SzUN+nnorgr0A2vRAdhmI+TaTtHRETUSTqUdLu7u8PdvR2LF0Nf4Z44cSLCwsKwceNGKJW/fRQ/JSXFIHmOjIzE/v378eKLL0rb4uPjERkZCQAICAiAp6cn9u/fLyXZ1dXVSExMxDPPPNP+gVGXUavRYvfpAmw/nofUG6raMXf64dEwH7jb944vo6aiUCigcrCCysEKE4JU0vaGpmZcLFZL14i3VsbVGi3SC6uRXmg4N4KXo9V1ibgjxge5c+IjQk5ZLVLyKq+rXtcg51eSa4fW5Pq6U8MHedh3i0sdlEoFBqrsMVBlj8dG66vh1Q1NSMltTcL1p6WrG7RIzCqXJgsDoF+mzM8ZI/31SXiQR/eqhut0AmqNFtX1Taiqb5J+Xn+rqGvEnjNFqKpvAgAM93XCa9FBGNNyCj8REVFPIcvs5fn5+ZgwYQL8/f2xefNm9OlzbUKm1ur05s2bYWFhgZEj9eW177//Hq+//jo+//xzLFiwAIB+ybDx48fjvffew/Tp0/HVV1/hnXfeMVgybMWKFXjvvfcMlgw7ffp0h5YM4+zlpnc2vwpfHs/FrpQC1FxX1Y6+wxMxd/phzABXVrW7ICEErlTUG1wnnl5Yjbzy+pva+rpYY+P80RiosjdBT8mUdDqB/2WUYuORbBy6bmm7611Lru2vm9TMrlsk17dDpxO4XFqjT8JbKuIZJTU3tbOx6IPhPk4I9XeSZkt3kflsEp1OQN2gvSlZvvHWVkKtbmi65YGUGwWq7PBydBCmhHj06L81ERH1PO3NI2VJujdt2iQlzjdqfbrNmzdjxYoVyMnJgZmZGYKDg/HKK6/g0UcfNWi/Y8cOLFu2DNnZ2QgMDMTKlStx7733Gjze8uXLsW7dOlRWVmLs2LFYs2YNBg0a1O7+Muk2jVqNFv9O1c9AnnqlStru76qvaj8Syqp2d6VuaJKWMksvqMbPF0pRVN0AeyszrJ0TJk1GRT1bXaMW353Kx8YjWcgsrQUAKBRAqJ8zBrWcEt56irh7D0+uO6KqrgnJedcq4Sm5ldIlNtcLcLPFSD99Eh7mr49pnxsOTjbrRJtJ8a8lzK3b1RotbvcbgpW5Eg5W5nC0Nrw5tPwc5GGPqUM8b+o3ERFRd2DSpLu7YdJtXGfzq7D9eC52JeejtmU9afM++qr2rDv9ENGfVe2epqxGg6e3JuFkTgXMlAr83xlDEHOnn6m7RTLJr6zHloRsfJmYi+qWVQbsLM3w+GhfzIvsBz9XGxP3sHvR6QQySlqr4fprwy+3HMS4np2lGQZ52KGhSWeQON8ua/M+bSbM125mcLS5Oal2sDLn0oNERNSjMenuACbd8qtpqWpvT8zFmfxrVe1+rteu1e4tEwf1Vg1NzXjtu9PY1TJ51NPj+uO1qcE8wNJDCCFwKrcCGw5nY29akbR0l7+rDeaP6YdHw3xgb2Vu4l72HJV1jUjOq0Ryy5JlKXmV0qU5bbG16HOLhLnlZtN2Qu1gZQ4Ls+5zLTkREZExMenuACbd8jlzRV/V/leKYVV76hAvxNzpi8j+rjyltBcRQuCj/Zewet9FAMCUEA/8/YkRsLHgBGvdVaNWhx/PFmLD4SyDy0TGDHDFwqgATAxW8dRhI2jWCWSUqJFZWgtbS7PrkmYzOFibc1k/IiIiGTDp7gAm3Z1HCP1pkPHpxdhzphBpBddmtO7vZouYO/3wcGhfVrV7uV0p+Xhlx2k0NuswpK8D1s8bDQ8HrrXenZTXNuLL47nYkpCN4moNAMDCTIkZI7yxICoAg734XkpEREQ9G5PuDmDSfXuadQJJORWITy9CfHoxssvqpH0WfZSYOkQ/A3lEfxdWtUlyMrscT21NQnltIzwdrLB+/ijc4e1o6m7Rb7hQpMbGI1n4ITkfGq0OAOBub4m5Ef6YFe4HNx5QIyIiol6CSXcHMOnuuPrGZvySUYr49GIcOF+CstpGaZ9FHyXGDHTFPSEemDbES/Zlbaj7yi2rw4JNx3G5tBY2Fn3w0RMjMTnEw9TdohvodAI/XyzBhsPZOHzpqrR9aF9HLBzbD9OHevO6XyIiIup1mHR3AJPu9imr0WD/+RLEpxfjl4xSNDTppH0OVma4O1iFKXd4Ytwgd9hZ8hpdap+q+iY8+0USjlwqg0IBLJsegoVR/XhWRBdQq9Hi26Qr2HQ0G1lX9bNlKxXA1CGeWBgVgDB/Z/6diIiIqNdi0t0BTLpvLftqLeLTixGfXoyTOeXQXfdq6etkjXtCPDAlxAOjA1w4UQ/9bk3NOryx6yy+PJ4HAJgT4Yc3778DZnxNmUReeR22JGTjqxN5ULcs+WVvZYaYO/3wZKQ/fJy55BcRERFRe/NIliPJgE4ncDq/Sro++2JxjcH+EC8HTLnDA/eEeCDEy4FVLuoU5n2UeOehoejvZod3fjyHbcdykVNWh3/MDoUDl5kyCiEETuZUYMPhLPyUViQdYOvvZov5Uf3wSKgPbHkGCxEREVGHsdINVro12mYkXC5DfHox9p0rlmYiBoA+SgXCA1wwJcQDk0M8WOEi2f2UVoQXv0pBfVMzAlV22DB/NHxd+LqTS6NWh92nC7DhSBbO5l9bbeCuQDcsjArA+EHuXEudiIiIqA08vbwDemPSXVXfhJ8vlOC/6cX434VS1Gi00j5biz6YEKTCPSEemBikgqMNK41kXGfzqxC7+QSKqzVws7PAuidHIdTP2dTd6lGu1miwPTEXW4/loFStP9BmaabEw6F9MX9MAII87U3cQyIiIqKujUl3B/SWpLugsl66PvtYZhm0112g7W5viXtC9KeNjxngCkuzPibsKRFQWFWP2E0nkV5YDQszJd6fORz3D/c2dbe6vXOF1dh4JAs7UwrQ2LLkl4eDJZ6M7IeYO/242gARERFROzHp7oCemnQLIXC+SI3/phUj/lyRwamjABCospMS7eE+TjyFlLqcWo0WL3yVjH3nSgAAi+8ZhD/ePZBzCXRQs07gwPkSbDichYTMMmn7cB9HLBwbgHuHenEiRCIiIqIOYtLdAT0p6dY263A8u1yqaF+pqJf2KRTAKH/nlkTbEwFutibsKVH7NOsE3tlzDusPZwEAHh7ZF+8+MpRnY7SDuqEJO05eweaEbOSU1QHQz9PQuuRXqJ8TD2AQERER/U6cvbwXqdVocehiKeLTi3HgQgkq65qkfZZmStwV6I4pIR64e7AKbnaWJuwpUcf1USrw+n0hCHCzxfJ/peH75HxcqajHZ3PD4MxToduUW1aHTUez8c3JPGm+Bkdrc2nJL28naxP3kIiIiKj3YKUb3bPSXaJuwP5zJYhPL8bhS1elazMBwNnGHJMG608bvyvQDTYWPLZCPcOhi6V47otTUGu06Odqg/XzR2OAu52pu9UlCCGQmFWODYezEH+uGK3v7APcbbEgKgAPh/blewERERFRJ+Lp5R3QXZLuSyU1LaeNFyE5rxLX/+X8XW1wT0uiHebvDDNen0k91MViNRZuOoErFfVwtDbH2jlhiBzgaupumYxG24x/pxZiw+EspBdem7dh3CB3LIzqh3GBXPKLiIiISA5MujugOyTdBy+UYMHGEwbbhvs4StdnD/Kw47WZ1GtcrdFg0ZaTSM6thJlSgXceHorHRvmaultGlVdeh+3Hc/H1iTyU1zYCAKzMlXgk1AcLovphoIpLfhERERHJidd09zDhAS6wtzLDSL+WidAGe8DT0crU3SIyCTc7S3y5KAIv70jF7tOFePXb08i6WotXpgT16KquTidwKKMUWxNycOBCiXS2i5ejVcuSX75wsuF17kRERERdCSvd6B6VbgBoaGqGlTlnbCZqpdMJ/H3fRXx04BIAYNoQT3zw2AhYW/Ss/ycVtY3YkZSHLxJzpVnIAWDsQDfMifDH5MEqXlJCREREZGSsdPdATLiJDCmVCrw0JQj+rrZY8v1p/Hi2CAWVCfjnk6Ogcuj+Z4Kk5lVi67Ec/Du1AJqWyRLtrcwwM8wXsyP8OIkcERERUTfASje6T6WbiG4tMbMMT29LQmVdE7wdrbB+/mgM9up+/58bmprx79QCbDuWg9QrVdL2EC8HPBnpjwdGeHMWciIiIqIugBOpdQCTbqKeIftqLRZuOoHMq7WwteiDT2aFYmKwytTdapecslp8kZiLb07mobKuCQBg0UeJ6cO8MCfCH6F+TpwskYiIiKgLYdLdAUy6iXqOyrpGPLPtFBIyy6BUAG/cF4L5UQGm7labmnUCP18owdZjOfjfxVJpYrS+TtaYHeGHx0f5wtXO0rSdJCIiIqI2MenuACbdRD1Lo1aHZTvP4JuTVwAA8yL98fp9IV1msrGyGg2+PpmHL47lIr+yXto+fpA75kb4Y2KwCn168CzsRERERD0BJ1Ijol7LwkyJFY8MQ4CbHVbsPY/NCTnIKa/DxzEjYW9lbpI+CSGQnFeJrQk5+M/pQjQ26ydGc7Ixx2OjfDHrTj/0c7M1Sd+IiIiISD6sdIOVbqKe7MczhfjzNyloaNIh2NMe6+ePRl8na6M9f31jM3al5GPrsRykFVRL24f5OGJuhD/uH+7NlQmIiIiIuiFWuomIAEwb6gVvJ2v8ny0ncb5IjQc/OYLP543CCF8nWZ83s7QG247l4tukPFQ3aAHoK/APDPfG3Ah/DJf5+YmIiIioa5DtAsd+/fpBoVAY3N577z2DNqdPn8Zdd90FKysr+Pr6YuXKlTc9zo4dOxAcHAwrKysMHToUe/bsMdgvhMAbb7wBLy8vWFtbY/LkycjIyJBrWETUDQ33dcLO56IQ7GmPqzUaPP5ZAvacKez059E26/BTWhHmrk/E3e//DxuOZKG6QQs/Fxv85d5gJMZNwv+bOZwJNxEREVEvIuusQm+//TYKCwul2/PPPy/tq66uxpQpU+Dv74+kpCSsWrUKb775JtatWye1OXr0KGJiYhAbG4vk5GTMmDEDM2bMwNmzZ6U2K1euxEcffYS1a9ciMTERtra2iI6ORkNDg5xDI6Jupq+TNb59ZgwmBrlDo9Xh2S9O4R8HL6EzrrApVWvwyYEMjFt5EE9vTcIvGVehUACTglXYuGA0fn55Ap4aNwDOthadMBIiIiIi6k5ku6a7X79+ePHFF/Hiiy+2uf/TTz/F0qVLUVRUBAsL/RfRJUuWYOfOnTh//jwA4PHHH0dtbS12794t3S8iIgIjRozA2rVrIYSAt7c3Fi9ejJdffhkAUFVVBQ8PD2zatAlPPPFEu/rKa7qJeg9tsw5//c85bDqaDQCYGeaDvz00FBZmHTsGKYTAyZwKbEnIwd6zhWhq1r+Vutha4LFRvpgd7gdfF5vO7j4RERERdRHtzSNlrXS/9957cHV1xciRI7Fq1SpotVppX0JCAsaNGycl3AAQHR2NCxcuoKKiQmozefJkg8eMjo5GQkICACArKwtFRUUGbRwdHREeHi61aYtGo0F1dbXBjYh6B7M+Srz5wB1464E7oFQAO5Ku4MkNiaisa2zX/Ws1Wmw7loNpH/6CmWsT8O/UAjQ1C4z0c8Lqx4fj6JK7sWRaMBNuIiIiIgIg40Rqf/rTnxAaGgoXFxccPXoUcXFxKCwsxAcffAAAKCoqQkBAgMF9PDw8pH3Ozs4oKiqStl3fpqioSGp3/f3aatOWd999F2+99dbtDZCIurV5Y/rBz9UGz29PxrHMcjy85ijWzx+NgFss25VRrMa2Yzn47lQ+ajT6A4hW5krMGNEXcyL8MaSvozG7T0RERETdRIeS7iVLlmDFihW/2ubcuXMIDg7GSy+9JG0bNmwYLCws8PTTT+Pdd9+FpaXl7+ttJ4mLizPoX3V1NXx9fU3YIyIyhYlBKnz7TCRiN51E5tVaPLTmCD6bE4bw/q4AgKZmHeLTi7E1IQcJmWXS/QLcbDEnwh+PhvrA0cY0634TERERUffQoaR78eLFmD9//q+26d+/f5vbw8PDodVqkZ2djaCgIHh6eqK4uNigTevvnp6e0s+22ly/v3Wbl5eXQZsRI0bcso+WlpYmT/yJqGsI9nTAD8+NwaLNJ5F6pQpz1ifijftCUFbbiC+P56K4WgMAUCqAyYM9MDfSH1ED3KBUKkzccyIiIiLqDjqUdLu7u8Pd3f13PVFKSgqUSiVUKhUAIDIyEkuXLkVTUxPMzfWVovj4eAQFBcHZ2Vlqs3//foPJ2OLj4xEZGQkACAgIgKenJ/bv3y8l2dXV1UhMTMQzzzzzu/pJRL2Pyt4KXz0VicU7UrDnTBFe35Um7XOzs8ATo/0wK9wP3k7WJuwlEREREXVHslzTnZCQgMTEREycOBH29vZISEjAn//8Z8yZM0dKqGfNmoW33noLsbGxeO2113D27Fl8+OGHWL16tfQ4L7zwAsaPH4/3338f06dPx1dffYWTJ09Ky4opFAq8+OKL+Otf/4rAwEAEBATg9ddfh7e3N2bMmCHH0Iioh7K26INPYkLxvtsFfPrzZYT5O2NuZD9MvcOzwzObExERERG1kmXJsFOnTuHZZ5/F+fPnodFoEBAQgLlz5+Kll14yOK379OnTeO6553DixAm4ubnh+eefx2uvvWbwWDt27MCyZcuQnZ2NwMBArFy5Evfee6+0XwiB5cuXY926daisrMTYsWOxZs0aDBo0qN395ZJhRHS9Rq2OiTYRERER/ar25pGyrdPdnTDpJiIiIiIioo5obx4p25Jh3UnrcQeu101ERERERETt0Zo//lYdm0k3ALVaDQBcNoyIiIiIiIg6RK1Ww9HR8Zb7eXo5AJ1Oh4KCAtjb20Oh6LrLALWuJ56Xl8fT4DsZYysvxlc+jK28GF/5MLbyYWzlxfjKh7GVF+Pb+YQQUKvV8Pb2hlJ56/mAWOkGoFQq4ePjY+putJuDgwP/o8iEsZUX4ysfxlZejK98GFv5MLbyYnzlw9jKi/HtXL9W4W7F6XmJiIiIiIiIZMKkm4iIiIiIiEgmTLq7EUtLSyxfvtxgrXPqHIytvBhf+TC28mJ85cPYyoexlRfjKx/GVl6Mr+lwIjUiIiIiIiIimbDSTURERERERCQTJt1EREREREREMmHSTURERERERCQTJt1EREREREREMmHSbWSHDh3C/fffD29vbygUCuzcudNgf3FxMebPnw9vb2/Y2Nhg6tSpyMjIMGgzYcIEKBQKg9sf/vCHm55r06ZNGDZsGKysrKBSqfDcc8/JOTSTM1ZsT5w4gUmTJsHJyQnOzs6Ijo5Gamqq3MMzuc6ILwAkJCTg7rvvhq2tLRwcHDBu3DjU19dL+8vLyzF79mw4ODjAyckJsbGxqKmpkXt4JmWM2GZnZyM2NhYBAQGwtrbGgAEDsHz5cjQ2NhpjiCZjrNdtK41GgxEjRkChUCAlJUWmUXUdxozvf/7zH4SHh8Pa2hrOzs6YMWOGjCMzPWPF9uLFi3jwwQfh5uYGBwcHjB07FgcPHpR7eCZ3u/HNzs6+6ftC623Hjh1Su9zcXEyfPh02NjZQqVR45ZVXoNVqjTVMkzBGbFNTUxETEwNfX19YW1tj8ODB+PDDD405TJMx1mu3VVlZGXx8fKBQKFBZWSnz6HouJt1GVltbi+HDh+Mf//jHTfuEEJgxYwYyMzOxa9cuJCcnw9/fH5MnT0Ztba1B20WLFqGwsFC6rVy50mD/Bx98gKVLl2LJkiVIS0vDvn37EB0dLevYTM0Ysa2pqcHUqVPh5+eHxMREHD58GPb29oiOjkZTU5PsYzSlzohvQkICpk6diilTpuD48eM4ceIE/vjHP0KpvPZWNHv2bKSlpSE+Ph67d+/GoUOH8NRTTxlljKZijNieP38eOp0On332GdLS0rB69WqsXbsWf/nLX4w2TlMw1uu21auvvgpvb29Zx9SVGCu+3333HebOnYsFCxYgNTUVR44cwaxZs4wyRlMxVmzvu+8+aLVaHDhwAElJSRg+fDjuu+8+FBUVGWWcpnK78fX19TX4rlBYWIi33noLdnZ2mDZtGgCgubkZ06dPR2NjI44ePYrNmzdj06ZNeOONN4w6VmMzRmyTkpKgUqmwbds2pKWlYenSpYiLi8Mnn3xi1LGagjHie73Y2FgMGzZM9nH1eIJMBoD44YcfpN8vXLggAIizZ89K25qbm4W7u7v45z//KW0bP368eOGFF275uOXl5cLa2lrs27dPjm53C3LF9sSJEwKAyM3NlbadPn1aABAZGRmdOoau7PfGNzw8XCxbtuyWj5ueni4AiBMnTkjbfvzxR6FQKER+fn7nDqKLkiu2bVm5cqUICAi47T53F3LHds+ePSI4OFikpaUJACI5Obkzu9/lyRXfpqYm0bdvX/H555/L0u/uQK7YlpaWCgDi0KFD0rbq6moBQMTHx3fuILqw3xvfG40YMUIsXLhQ+n3Pnj1CqVSKoqIiadunn34qHBwchEaj6dxBdFFyxbYtzz77rJg4ceJt97k7kTu+a9asEePHjxf79+8XAERFRUVndr9XYaW7C9FoNAAAKysraZtSqYSlpSUOHz5s0PaLL76Am5sbhgwZgri4ONTV1Un74uPjodPpkJ+fj8GDB8PHxwePPfYY8vLyjDOQLqizYhsUFARXV1esX78ejY2NqK+vx/r16zF48GD069fPKGPpitoT35KSEiQmJkKlUmHMmDHw8PDA+PHjDeKfkJAAJycnjBo1Sto2efJkKJVKJCYmGmk0XUtnxbYtVVVVcHFxka/zXVxnxra4uBiLFi3C1q1bYWNjY7xBdGGdFd9Tp04hPz8fSqUSI0eOhJeXF6ZNm4azZ88ad0BdSGfF1tXVFUFBQdiyZQtqa2uh1Wrx2WefQaVSISwszLiD6kI68p2hVVJSElJSUhAbGyttS0hIwNChQ+Hh4SFti46ORnV1NdLS0mTqfdfWWbFtS2//TAM6N77p6el4++23sWXLljbP7KKOYQS7kODgYPj5+SEuLg4VFRVobGzEihUrcOXKFRQWFkrtZs2ahW3btuHgwYOIi4vD1q1bMWfOHGl/ZmYmdDod3nnnHfz973/Ht99+i/Lyctxzzz09/vrNW+ms2Nrb2+Pnn3/Gtm3bYG1tDTs7O+zduxc//vgjzMzMTDG0LqE98c3MzAQAvPnmm1i0aBH27t2L0NBQTJo0SbrWqKioCCqVyuCxzczM4OLi0uNPdbyVzortjS5duoSPP/4YTz/9tNHG0tV0VmyFEJg/fz7+8Ic/GBww6u06K77Xt1m2bBl2794NZ2dnTJgwAeXl5aYZnIl1VmwVCgX27duH5ORk2Nvbw8rKCh988AH27t0LZ2dnk43P1Nr7neF6rQfgx4wZI20rKioySLgBSL/zM+32Ynujo0eP4uuvv+7xl6P9ls6Kr0ajQUxMDFatWgU/Pz9jdb9HY9LdhZibm+P777/HxYsX4eLiAhsbGxw8eBDTpk0zOML01FNPITo6GkOHDsXs2bOxZcsW/PDDD7h8+TIAQKfToampCR999BGio6MRERGBL7/8EhkZGb1icpS2dFZs6+vrERsbi6ioKBw7dgxHjhzBkCFDMH369DYnVeot2hNfnU4HAHj66aexYMECjBw5EqtXr0ZQUBA2bNhgyu53aXLENj8/H1OnTsXMmTOxaNEio46nK+ms2H788cdQq9WIi4sz2Vi6os6Kb2ubpUuX4pFHHkFYWBg2btx4y0l/eoPOiq0QAs899xxUKhV++eUXHD9+HDNmzMD9999/yy/ovUF7vzO0qq+vx/bt23+zEkvyxPbs2bN48MEHsXz5ckyZMkXO7nd5nRXfuLg4DB482KDwRLeHSXcXExYWhpSUFFRWVqKwsBB79+5FWVkZ+vfvf8v7hIeHA9BXrgDAy8sLABASEiK1cXd3h5ubG3Jzc2XsfdfWGbHdvn07srOzsXHjRowePRoRERHYvn07srKysGvXLqOMo6v6rfi29boEgMGDB0uvS09PT5SUlBjs12q1KC8vh6enpxFG0TV1RmxbFRQUYOLEiRgzZgzWrVtnnAF0YZ0R2wMHDiAhIQGWlpYwMzPDwIEDAQCjRo3CvHnzjDiarqcz4ttWG0tLS/Tv35+faZ3w2t29eze++uorREVFITQ0FGvWrIG1tTU2b95s3AF1MR35zvDtt9+irq4OTz75pMF2T09PFBcXG2xr/Z2fabcX21bp6emYNGkSnnrqKSxbtkzurncLnRHfAwcOYMeOHTAzM4OZmRkmTZoEAHBzc8Py5cuNMo6ehkl3F+Xo6Ah3d3dkZGTg5MmTePDBB2/ZtnVZmtYP2KioKADAhQsXpDbl5eW4evUq/P395et0N3E7sa2rq4NSqYRCoZDatP7eWlXo7W4V3379+sHb29vgdQnol6tpfV1GRkaisrISSUlJ0v4DBw5Ap9NJB0B6s9uJLaCvcE+YMEGqFPIarWtuJ7YfffQRUlNTkZKSgpSUFOzZswcA8PXXX+Nvf/ubcQfSRd1OfMPCwmBpaWnQpqmpCdnZ2fxMw+3FtnXOkhvfC5RKJT/TWrTnO8P69evxwAMPwN3d3WB7ZGQkzpw5Y3AwOT4+Hg4ODjcdDOmNbie2AJCWloaJEydi3rx5fK9tw+3E97vvvjP4XPv8888BAL/88kuPX4JYNqaeya23UavVIjk5WSQnJwsA4oMPPhDJyckiJydHCCHEN998Iw4ePCguX74sdu7cKfz9/cXDDz8s3f/SpUvi7bffFidPnhRZWVli165don///mLcuHEGz/Pggw+KO+64Qxw5ckScOXNG3HfffSIkJEQ0NjYadbzGZIzYnjt3TlhaWopnnnlGpKeni7Nnz4o5c+YIR0dHUVBQYPQxG9PtxlcIIVavXi0cHBzEjh07REZGhli2bJmwsrISly5dktpMnTpVjBw5UiQmJorDhw+LwMBAERMTY9SxGpsxYnvlyhUxcOBAMWnSJHHlyhVRWFgo3XoyY71ur5eVldVrZi83VnxfeOEF0bdvX/HTTz+J8+fPi9jYWKFSqUR5eblRx2tMxohtaWmpcHV1FQ8//LBISUkRFy5cEC+//LIwNzcXKSkpRh+zMXVGfIUQIiMjQygUCvHjjz/etE+r1YohQ4aIKVOmiJSUFLF3717h7u4u4uLiZB+fKRkjtmfOnBHu7u5izpw5Bp9nJSUlso/P1IwR3xsdPHiQs5ffJibdRtb6or3xNm/ePCGEEB9++KHw8fER5ubmws/PTyxbtsxgWYnc3Fwxbtw44eLiIiwtLcXAgQPFK6+8Iqqqqgyep6qqSixcuFA4OTkJFxcX8dBDDxksc9UTGSu2//3vf0VUVJRwdHQUzs7O4u677xYJCQnGHKpJ3G58W7377rvCx8dH2NjYiMjISPHLL78Y7C8rKxMxMTHCzs5OODg4iAULFgi1Wm2MIZqMMWK7cePGNp+jpx97Ndbr9nq9Kek2VnwbGxvF4sWLhUqlEvb29mLy5MkGS+L0RMaK7YkTJ8SUKVOEi4uLsLe3FxEREWLPnj3GGKJJdVZ84+LihK+vr2hubm7zebKzs8W0adOEtbW1cHNzE4sXLxZNTU1yDs3kjBHb5cuXt/kc/v7+Mo/O9Iz12m3rOZl0/34KIYT4nUVyIiIiIiIiIvoVvKCPiIiIiIiISCZMuomIiIiIiIhkwqSbiIiIiIiISCZMuomIiIiIiIhkwqSbiIiIiIiISCZMuomIiIiIiIhkwqSbiIiIiIiISCZMuomIiIiIiIhkwqSbiIiIiIiISCZMuomIiIiIiIhkwqSbiIiIiIiISCZMuomIiIiIiIhk8v8BR8D64Bq9eREAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(res.recursive_coefficients.filtered[0])\n", "res.plot_recursive_coefficient(range(mod.k_exog), alpha=None, figsize=(10, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CUSUM statistic is available in the `cusum` attribute, but usually it is more convenient to visually check for parameter stability using the `plot_cusum` method. In the plot below, the CUSUM statistic does not move outside of the 5% significance bands, so we fail to reject the null hypothesis of stable parameters at the 5% level." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:05.090967Z", "iopub.status.busy": "2023-12-14T14:41:05.088618Z", "iopub.status.idle": "2023-12-14T14:41:06.196191Z", "shell.execute_reply": "2023-12-14T14:41:06.194308Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.69971508 0.65841244 1.24629674 2.05476032 2.39888918 3.1786198\n", " 2.67244672 2.01783215 2.46131747 2.05268638 0.95054336 -1.04505546\n", " -2.55465286 -2.29908152 -1.45289492 -1.95353993 -1.3504662 0.15789829\n", " 0.6328653 -1.48184586]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(res.cusum)\n", "fig = res.plot_cusum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another related statistic is the CUSUM of squares. It is available in the `cusum_squares` attribute, but it is similarly more convenient to check it visually, using the `plot_cusum_squares` method. In the plot below, the CUSUM of squares statistic does not move outside of the 5% significance bands, so we fail to reject the null hypothesis of stable parameters at the 5% level." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:06.204124Z", "iopub.status.busy": "2023-12-14T14:41:06.200715Z", "iopub.status.idle": "2023-12-14T14:41:08.035960Z", "shell.execute_reply": "2023-12-14T14:41:08.034678Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_cusum_squares()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2: Quantity theory of money\n", "\n", "The quantity theory of money suggests that \"a given change in the rate of change in the quantity of money induces ... an equal change in the rate of price inflation\" (Lucas, 1980). Following Lucas, we examine the relationship between double-sided exponentially weighted moving averages of money growth and CPI inflation. Although Lucas found the relationship between these variables to be stable, more recently it appears that the relationship is unstable; see e.g. Sargent and Surico (2010)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:08.044281Z", "iopub.status.busy": "2023-12-14T14:41:08.041664Z", "iopub.status.idle": "2023-12-14T14:41:08.831848Z", "shell.execute_reply": "2023-12-14T14:41:08.831090Z" } }, "outputs": [], "source": [ "start = \"1959-12-01\"\n", "end = \"2015-01-01\"\n", "m2 = DataReader(\"M2SL\", \"fred\", start=start, end=end)\n", "cpi = DataReader(\"CPIAUCSL\", \"fred\", start=start, end=end)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:08.837674Z", "iopub.status.busy": "2023-12-14T14:41:08.836367Z", "iopub.status.idle": "2023-12-14T14:41:09.001917Z", "shell.execute_reply": "2023-12-14T14:41:09.000551Z" } }, "outputs": [], "source": [ "def ewma(series, beta, n_window):\n", " nobs = len(series)\n", " scalar = (1 - beta) / (1 + beta)\n", " ma = []\n", " k = np.arange(n_window, 0, -1)\n", " weights = np.r_[beta ** k, 1, beta ** k[::-1]]\n", " for t in range(n_window, nobs - n_window):\n", " window = series.iloc[t - n_window : t + n_window + 1].values\n", " ma.append(scalar * np.sum(weights * window))\n", " return pd.Series(ma, name=series.name, index=series.iloc[n_window:-n_window].index)\n", "\n", "\n", "m2_ewma = ewma(np.log(m2[\"M2SL\"].resample(\"QS\").mean()).diff().iloc[1:], 0.95, 10 * 4)\n", "cpi_ewma = ewma(\n", " np.log(cpi[\"CPIAUCSL\"].resample(\"QS\").mean()).diff().iloc[1:], 0.95, 10 * 4\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After constructing the moving averages using the $\\beta = 0.95$ filter of Lucas (with a window of 10 years on either side), we plot each of the series below. Although they appear to move together prior for part of the sample, after 1990 they appear to diverge." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:09.009703Z", "iopub.status.busy": "2023-12-14T14:41:09.006704Z", "iopub.status.idle": "2023-12-14T14:41:10.193175Z", "shell.execute_reply": "2023-12-14T14:41:10.192121Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(13, 3))\n", "\n", "ax.plot(m2_ewma, label=\"M2 Growth (EWMA)\")\n", "ax.plot(cpi_ewma, label=\"CPI Inflation (EWMA)\")\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:10.201093Z", "iopub.status.busy": "2023-12-14T14:41:10.198490Z", "iopub.status.idle": "2023-12-14T14:41:10.297562Z", "shell.execute_reply": "2023-12-14T14:41:10.296073Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: CPIAUCSL No. Observations: 141\n", "Model: RecursiveLS Log Likelihood 692.884\n", "Date: Thu, 14 Dec 2023 R-squared: 0.813\n", "Time: 14:41:10 AIC -1381.767\n", "Sample: 01-01-1970 BIC -1375.870\n", " - 01-01-2005 HQIC -1379.371\n", "Covariance Type: nonrobust Scale 0.000\n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0034 0.001 -6.014 0.000 -0.004 -0.002\n", "M2 0.9128 0.037 24.603 0.000 0.840 0.986\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 138.24 Jarque-Bera (JB): 18.20\n", "Prob(Q): 0.00 Prob(JB): 0.00\n", "Heteroskedasticity (H): 5.30 Skew: -0.81\n", "Prob(H) (two-sided): 0.00 Kurtosis: 2.27\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] } ], "source": [ "endog = cpi_ewma\n", "exog = sm.add_constant(m2_ewma)\n", "exog.columns = [\"const\", \"M2\"]\n", "\n", "mod = sm.RecursiveLS(endog, exog)\n", "res = mod.fit()\n", "\n", "print(res.summary())" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:10.306596Z", "iopub.status.busy": "2023-12-14T14:41:10.303584Z", "iopub.status.idle": "2023-12-14T14:41:12.247684Z", "shell.execute_reply": "2023-12-14T14:41:12.246292Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_recursive_coefficient(1, alpha=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CUSUM plot now shows substantial deviation at the 5% level, suggesting a rejection of the null hypothesis of parameter stability." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:12.253581Z", "iopub.status.busy": "2023-12-14T14:41:12.251087Z", "iopub.status.idle": "2023-12-14T14:41:14.109299Z", "shell.execute_reply": "2023-12-14T14:41:14.107979Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_cusum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, the CUSUM of squares shows substantial deviation at the 5% level, also suggesting a rejection of the null hypothesis of parameter stability." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:14.117591Z", "iopub.status.busy": "2023-12-14T14:41:14.114996Z", "iopub.status.idle": "2023-12-14T14:41:16.197859Z", "shell.execute_reply": "2023-12-14T14:41:16.196604Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAGeCAYAAABcquEJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAACZyklEQVR4nOzdd3gUZdfH8e+m94SQhISQBulLBymCHR8E5bGLigJieVREISBFpIr0EqWIFezYO6KICiIISGfTO4QkpJGebLI77x+RfYmA0pJJMudzXXuF7M7unCxJ5pd77rmPTlEUBSGEEEKIFsJK7QKEEEIIIS6EhBchhBBCtCgSXoQQQgjRokh4EUIIIUSLIuFFCCGEEC2KhBchhBBCtCgSXoQQQgjRokh4EUIIIUSLIuFFCCGEEC2KjdoFXG5ms5njx4/j6uqKTqdTuxwhhBBCnAdFUSgrK6N9+/ZYWf3L2IrSiLZu3arccsstip+fnwIoX3zxxT9u/9lnnymDBg1SvLy8FFdXV6Vfv37Kpk2bLmifR48eVQC5yU1ucpOb3OTWAm9Hjx7912N9o468VFRU0K1bN8aMGcMdd9zxr9tv27aNG2+8kfnz5+Ph4cG6desYNmwYu3btokePHue1T1dXVwCOHj2Km5vbJdUvhBBCiKZRWlpKQECA5Tj+T3SK0jSNGXU6HV988QW33XbbBT1Pr9czfPhwZs6ceV7bl5aW4u7uTklJiYQXIYQQooW4kON3s57zYjabKSsrw9PT85zb1NTUUFNTY/m8tLS0KUoTQgghhEqa9dVGS5cupby8nHvuueec2yxYsAB3d3fLLSAgoAkrFEIIIURTa7bh5YMPPmDOnDl8/PHH+Pj4nHO7adOmUVJSYrkdPXq0CasUQgghRFNrlqeNNmzYwCOPPMInn3zCoEGD/nFbe3t77O3tL+j1FUWhrq4Ok8l0KWUK0eSsra2xsbGRZQCEEJrW7MLLhx9+yJgxY9iwYQM333zzZX99o9FITk4OlZWVl/21hWgKTk5O+Pn5YWdnp3YpQgihikYNL+Xl5aSkpFg+T09P58CBA3h6ehIYGMi0adPIzs7mnXfeAepPFY0aNYqXXnqJvn37kpubC4CjoyPu7u6XXI/ZbCY9PR1ra2vat2+PnZ2d/AUrWgxFUTAajeTn55Oenk5YWNi/L+QkhBCtUKOGlz///JPrrrvO8nlMTAwAo0aNYv369eTk5JCVlWV5/LXXXqOuro6xY8cyduxYy/2ntr9URqMRs9lMQEAATk5Ol/x6QjQ1R0dHbG1tyczMxGg04uDgoHZJQgjR5Bo1vFx77bX80zIyfw8kv/76a2OWYyF/rYqWTL5/hRBaJ78FhRBCCNGiSHgRLUJCQgL9+vXDwcGB7t27q12OEEIIFUl4aUFyc3MZN24cHTt2xN7enoCAAIYNG8aWLVss2+h0Or788ssznjt69OgGrRnS09O5//77ad++PQ4ODnTo0IFbb72VhIQEADIyMtDpdBw4cOCM17r22msZP3685fPg4GB0Oh0bNmw4Y1u9Xo9Op7vkOUuzZs3C2dmZxMTEBl+vEEII7ZHw0kJkZGTQq1cvfv75Z5YsWcLhw4fZtGkT1113XYPJzeejtraWG2+8kZKSEj7//HMSExP56KOP6NKlCydPnryo+gICAli3bl2D+/744w9yc3Nxdna+qNc8XWpqKgMHDiQoKIi2bdte8us1FZPJhNlsVrsMIYRoVSS8tBBPPvkkOp2O3bt3c+eddxIeHo5erycmJoY//vjjgl7LYDCQmprKmjVr6NevH0FBQQwYMIB58+bRr1+/i6pvxIgRbN26tcEKx2+99RYjRozAxuaf54WbzWbmzp1Lhw4dsLe3p3v37mzatMnyuE6nY+/evcydOxedTsfs2bPP+jqffvopXbp0wdHRkbZt2zJo0CAqKiqA+hARExODh4cHbdu2ZfLkyYwaNarBaFRwcDCxsbENXrN79+4N9rd8+XK6dOmCs7MzAQEBPPnkk5SXl1seX79+PR4eHnz99ddER0djb29PVlYWNTU1TJo0CX9/f5ydnenbt2+DCeqZmZkMGzaMNm3a4OzsjF6vZ+PGjf/4vgkhRFNTFIWcnBy1y5DwoigKlcY6VW7n29C7qKiITZs2MXbs2LOOYnh4eFzQ1+zt7Y2VlRWffvrpZVtluF27dgwePJi3334bgMrKSj766CPGjBnzr8996aWXWLZsGUuXLuXQoUMMHjyY//73vyQnJwOQk5ODXq9n4sSJ5OTkMGnSpDNeIycnh/vuu48xY8YQHx/Pr7/+yh133GF5j5ctW8b69et566232L59O0VFRXzxxRcX/HVaWVnx8ssvYzAYePvtt/n555+ZPHlyg20qKytZtGgRb7zxBgaDAR8fH5566il27tzJhg0bOHToEHfffTc33XST5WscO3YsNTU1bNu2jcOHD7No0SJcXFwuuD4hhGhMOp2OI0eOqF1G81tht6lV1ZqInvmDKvuOmzsYJ7t//y9ISUlBURQiIyMvy379/f15+eWXmTx5MnPmzKF3795cd911jBgxgo4dO170644ZM4aJEycyffp0Pv30Uzp16nRek2uXLl3KlClTuPfeewFYtGgRv/zyC7GxsaxevRpfX19sbGxwcXHB19f3rK+Rk5NDXV0dd9xxB0FBQQB06dLF8nhsbCzTpk3jjjvuAGDt2rX88MOF/7//fa7PvHnzePzxx1mzZo3l/traWtasWUO3bt0AyMrKYt26dWRlZdG+fXsAJk2axKZNm1i3bh3z588nKyuLO++801Lzpfw/CCHE5aIoCh9//DFdunQhOjoagB49elBRUXFZpgRcLM2PvLQE5ztCcyHGjh1Lbm4u77//Pv379+eTTz5Br9ezefPmi37Nm2++mfLycrZt28Zbb711XqMupaWlHD9+nAEDBjS4f8CAAcTHx5/3vrt168YNN9xAly5duPvuu3n99dcpLi4GoKSkhJycHPr27WvZ3sbGht69e5/365/y008/ccMNN+Dv74+rqysPPvgghYWFDdpN2NnZ0bVrV8vnhw8fxmQyER4ejouLi+W2detWUlNTAXj66aeZN28eAwYMYNasWRw6dOiCaxNCiMtpz549DBw4kHvvvZcJEyZYjkVeXl6qBheQkRccba2JmztYtX2fj7CwMHQ6neVKoH/i6upKSUnJGfefPHnyjBYLrq6uDBs2jGHDhjFv3jwGDx7MvHnzuPHGG3FzcwM479eC+kDw4IMPMmvWLHbt2nVRp2UulrW1NZs3b2bHjh38+OOPrFy5kunTp7Nr1y48PT3P6zWsrKzOCIq1tbWWf2dkZHDLLbfwxBNP8OKLL+Lp6cn27dt5+OGHMRqNllWbHR0dG7SdKC8vx9ramr1792Jt3fD//NSpoUceeYTBgwfz3Xff8eOPP7JgwQKWLVvGuHHjLur9EEKIi5Wdnc1zzz1nad3j5OTEwIEDMZvNZ/wOU4vmR150Oh1Odjaq3M63r5KnpyeDBw9m9erVlgmopzv9CqGIiAj27t3b4HGTycTBgwcJDw//x/chMjLS8vqenp54eXmd8VqlpaWkpKSc87XGjBnD1q1bufXWW2nTps2/fm1ubm60b9+e33//vcH9v//+u2WI8nzpdDoGDBjAnDlz2L9/P3Z2dnzxxRe4u7vj5+fHrl27LNvW1dWd8bV5e3s3mIhWWlpKenq65fO9e/diNptZtmwZ/fr1Izw8nOPHj/9rXT169MBkMnHixAlCQ0Mb3E4/DRYQEMDjjz/O559/zsSJE3n99dcv6OsXQohLUVVVxQsvvEB4eLgluIwcOZKkpCRmzJjRbIILyMhLi7F69WoGDBhAnz59mDt3Ll27dqWuro7NmzfzyiuvWE6xxMTE8PDDDxMZGcmNN95IRUUFK1eupLi4mEceeQSAAwcOMGvWLB588EGio6Oxs7Nj69atvPXWW0yZMsWyz5iYGObPn0+7du3o168fhYWFvPDCC3h7e1vmjvxdVFQUBQUFF9Q76tlnn2XWrFmWOTLr1q3jwIEDvP/+++f9Grt27WLLli385z//wcfHh127dpGfn09UVBQAzzzzDAsXLiQsLIzIyEiWL19+xmXh119/PevXr2fYsGF4eHgwc+bMBj+soaGh1NbWsnLlSoYNG8bvv//O2rVr/7W28PBwRowYwciRI1m2bBk9evQgPz+fLVu20LVrV26++WbGjx/PkCFDCA8Pp7i4mF9++cVSuxBCNIV169Yxc+ZMAPr3709sbCx9+vRRuapzUFqZkpISBVBKSkrOeKyqqkqJi4tTqqqqVKjs0h0/flwZO3asEhQUpNjZ2Sn+/v7Kf//7X+WXX35psN3777+v9OrVS3F1dVXatWunDB06VDl48KDl8fz8fOXpp59WOnfurLi4uCiurq5Kly5dlKVLlyomk8myXV1dnfLyyy8rXbp0UZycnJQOHToow4cPV9LT0xvsLygoSFmxYsU563Z3d1fWrVt3zsdNJpMye/Zsxd/fX7G1tVW6deumfP/99w226datmzJr1qxzvkZcXJwyePBgxdvbW7G3t1fCw8OVlStXWh6vra1VnnnmGcXNzU3x8PBQYmJilJEjRyq33nqrZZuSkhJl+PDhipubmxIQEKCsX7/+jP0uX75c8fPzUxwdHZXBgwcr77zzjgIoxcXFiqIoyrp16xR3d/cz6jMajcrMmTOV4OBgxdbWVvHz81Nuv/125dChQ4qiKMpTTz2ldOrUSbG3t1e8vb2VBx98UCkoKDjr19rSv4+FEM1HeXm55d81NTXKoEGDlA8//FAxm81NXss/Hb//TqcojTAbVEWlpaW4u7tTUlJimbdxSnV1Nenp6YSEhEg3XsHo0aM5efLkWVckbs7k+1gIcamys7OZNm0af/75JwcPHsTW1lbtkv7x+P13mp/zIoQQQmhFZWUlc+fOJTw8nHfffZf4+Hh+/vlntcu6YBJehBBCiFZOURQ+/PBDIiMjmTVrFpWVlQwYMIA9e/YweLA6V9xeCpmwKzTrUptFCiFES1BSUsJNN91kaSUTGBjI4sWLueeee877qtfmRsKLEEII0Yq5ubnh4uKCs7Mz06ZNIyYmBkdHR7XLuiQSXoQQQohWpLKykhUrVvD444/Ttm1bdDodr776Kg4ODpYWJS2dhBchhBCiFTCbzXz44YdMnTqVY8eOkZuby8qVK4HW1y9NwosQQgjRwv3xxx+MHz/espJ4UFAQ11xzjcpVNR652kgIIYRooY4ePcqIESPo378/u3btwtnZmRdffJH4+HjuuusutctrNDLyIoQQQrRQixYt4oMPPkCn0/HQQw8xb948/Pz81C6r0cnIizhv69evx8PD47K/bnBwMLGxsZbPc3NzufHGG3F2drbsT6fTtbiVcIUQ4nIzm80N+rLNmjWLm2++mT179vDmm29qIriAhJcWY/bs2eh0uga3yMjIBtvExMTg6elJQEDAGU0NP/nkE4YNG3ZJNQwfPpykpKRLeo2z2bNnD4899pjl8xUrVpCTk8OBAwcs+8vJyWHIkCGXfd9CCNFS7Ny5k/79+3PfffdZ7vP29ubbb7+lV69eKlbW9OS0UQui1+v56aefLJ/b2Pz/f98333zDBx98wI8//khycjJjxoxh8ODBeHl5UVJSwvTp0xs892I4Ojo2ytoA3t7eDT5PTU2lV69ehIWFWe7z9fW97PsVQoiWICsri6lTp/Lhhx8C4OLiQkZGBsHBweoWpiIZeWlBbGxs8PX1tdy8vLwsj8XHx3PttdfSu3dv7rvvPtzc3EhPTwdg8uTJPPHEEwQGBv7rPg4ePMh1112Hq6srbm5u9OrViz///BM4+2mjefPm4ePjg6urK4888ghTp06le/fulsdHjx7NbbfdxtKlS/Hz86Nt27aMHTuW2tpayzannzYKDg7ms88+45133kGn0zF69GjgzNNGx44d47777sPT0xNnZ2d69+5tmWWfmprKrbfeSrt27XBxceGKK644I7gFBwczf/58xowZg6urK4GBgbz22msNtvmnfQB89dVX9OzZEwcHBzp27MicOXOoq6v71/dYCCHOR0VFBTNnziQiIoIPP/wQnU7HmDFjSEpK0nRwARl5saioqDjnY9bW1g269/7TtlZWVg1GJ861rbOz8wXXmJycTPv27XFwcKB///4sWLDAEki6devGa6+9RnFxMWlpaVRVVREaGsr27dvZt28fa9asOa99jBgxgh49evDKK69gbW3NgQMHztlt9P333+fFF19kzZo1DBgwgA0bNrBs2TJCQkIabPfLL7/g5+fHL7/8QkpKCsOHD6d79+48+uijZ7zmnj17GDlyJG5ubrz00ktnHekpLy/nmmuuwd/fn6+//hpfX1/27duH2Wy2PD506FBefPFF7O3teeeddxg2bBiJiYkNAtyyZct44YUXeO655/j000954oknuOaaa4iIiPjXffz222+MHDmSl19+mauuuorU1FTLqa9Zs2ad13sthBDnYjAY+M9//sPx48cBuOqqq4iNjaVnz54qV9ZMKK1MSUmJAiglJSVnPFZVVaXExcUpVVVVZzwGnPM2dOjQBts6OTmdc9trrrmmwbZeXl5n3e5Cbdy4Ufn444+VgwcPKps2bVL69++vBAYGKqWlpZZtZs2apXTq1Enp3Lmz8vnnnys1NTVK586dlT///FNZuXKlEh4erlx55ZXKkSNHzrkfV1dXZf369Wd9bN26dYq7u7vl8759+ypjx45tsM2AAQOUbt26WT4fNWqUEhQUpNTV1Vnuu/vuu5Xhw4dbPg8KClJWrFhh+fzWW29VRo0a1eB1AeWLL75QFEVRXn31VcXV1VUpLCw859fxd3q9Xlm5cmWDfT7wwAOWz81ms+Lj46O88sor57WPG264QZk/f36D+959913Fz8/vvGu6WP/0fSyEaB1qamqU0NBQJTg4WPn0008Vs9msdkmN7p+O338np41aiCFDhnD33XfTtWtXBg8ezMaNGzl58iQff/yxZZvZs2eTkpLC4cOHuf3221mwYAGDBg3C1taWefPmsX37dh555BFGjhx5zv3ExMTwyCOPMGjQIBYuXEhqauo5t01MTKRPnz4N7vv751A/V8fa2tryuZ+fHydOnLiQL7+BAwcO0KNHDzw9Pc/6eHl5OZMmTSIqKgoPDw9cXFyIj48nKyurwXZdu3a1/Fun0+Hr62up69/2cfDgQebOnYuLi4vl9uijj5KTk0NlZeVFf21CCG3Kyspi4sSJllPqdnZ2fPvtt8THx3PnnXe22AaKjUVOG/2lvLz8nI+dfuAF/vHAa2XVMA9mZGRcUl3n4uHhQXh4OCkpKWd9PCEhgffee4/9+/fz1ltvcfXVV+Pt7c0999zDmDFjKCsrw9XV9YznzZ49m/vvv5/vvvuO77//nlmzZrFhwwZuv/32i67176eddDqd5fTLxfi3ScOTJk1i8+bNLF26lNDQUBwdHbnrrrswGo3nXde/7aO8vJw5c+Zwxx13nPHY6acYhRDin5SXl7N48WKWLFlCdXU1wcHBjBs3DoCIiAiVq2u+JLz85ULmoDTWtheivLyc1NRUHnzwwTMeUxSF//3vfyxfvhwXFxdMJpMlzZ/6aDKZzvna4eHhhIeHM2HCBO677z7WrVt31vASERFhmaNyyp49ey71S/tXXbt25Y033qCoqOisIyO///47o0ePttRcXl5+wSHy3/bRs2dPEhMTCQ0NvaivQQihbWazmffee49p06ZZ5rVcffXVDBw4UOXKWgY5bdRCTJo0ia1bt5KRkcGOHTu4/fbbsba2bnC9/ylvvPEG3t7elnVdBgwYwM8//8wff/zBihUriI6OPutic1VVVTz11FP8+uuvZGZm8vvvv7Nnzx6ioqLOWtO4ceN48803efvtt0lOTmbevHkcOnSo0Yc377vvPnx9fbntttv4/fffSUtL47PPPmPnzp0AhIWF8fnnn3PgwAEOHjzI/ffff8EjPf+2j5kzZ/LOO+8wZ84cDAYD8fHxbNiwgeeff/6yf71CiNZlx44d9OvXj1GjRnH8+HFCQkL47LPP+PXXX+nRo4fa5bUIMvLSQpy6bLewsBBvb28GDhzIH3/8ccYaKXl5ebz44ovs2LHDcl+fPn2YOHEiN998Mz4+Prz99ttn3Ye1tTWFhYWMHDmSvLw8vLy8uOOOO5gzZ85Ztx8xYgRpaWlMmjSJ6upq7rnnHkaPHs3u3bsv3xd+FnZ2dvz4449MnDiRoUOHUldXR3R0NKtXrwZg+fLljBkzhiuvvBIvLy+mTJlCaWnpZd3H4MGD+fbbb5k7dy6LFi3C1taWyMhIHnnkkcv+9QohWpeZM2eyZ88eXF1dmT59Os8884ycbr5AOkVRFLWLuJxKS0txd3enpKQENze3Bo9VV1eTnp5OSEiIfKM0khtvvBFfX1/effddtUtpteT7WIiWpby8HLPZbDkmHTp0iJUrV/LCCy/IApyn+afj99/JaSNx0SorK1m+fDkGg4GEhARmzZrFTz/9xKhRo9QuTQghVGc2m3n77bcJDw9n5syZlvu7du3K66+/LsHlEshpI3HRdDodGzdu5MUXX6S6upqIiAg+++wzBg0apHZpQgihqu3btzN+/Hj27t0LwKZNm6ipqcHe3l7lyloHCS/iojk6Ol5yvyQhhGhNMjMzmTx5smUNLldXV2bMmMHTTz8tweUykvAihBBCXAZfffUVw4cPp6amBp1Ox6OPPsrcuXNp166d2qW1OhJehBBCiMugf//+2NnZceWVV7JixQq6deumdkmtlibDSyu7wEpojHz/CtE8/Pbbb3z99dcsWbIEAB8fHw4cOEBISIgs59/IGvVqo23btjFs2DDat2+PTqfjyy+//Nfn/Prrr/Ts2RN7e3tCQ0NZv379Zavn1HLw0ntGtGSnvn/P1e1bCNG4MjIyuOeee7j66qtZunQpmzZtsjzWsWNHCS5NoFFHXioqKujWrRtjxow5aw+Yv0tPT+fmm2/m8ccf5/3332fLli088sgj+Pn5MXjw4Euux9raGg8PD0tvIicnJ/kmEy2GoihUVlZy4sQJPDw8zui5JYRoXGVlZSxcuJBly5ZRU1ODlZUVjz76KD179lS7NM1p1PAyZMgQhgwZct7br127lpCQEJYtWwZAVFQU27dvZ8WKFZclvACW6+ovpauxEGry8PCQ9SGEaEKn1mt57rnnyM3NBeD6669nxYoVDbrTi6bTrOa87Ny584w1QgYPHsz48eMv2z50Oh1+fn74+PhYmhQK0VLY2trKiIsQTay2tpZ58+aRm5tLaGgoy5YtY9iwYZocuTebFd7flckdPTvgbK9ehGhW4SU3N/eMS8ratWtHaWkpVVVVODo6nvGcmpoaampqLJ+fbw8ba2trOQgIIYQ4q4yMDDp06ICNjQ329va89NJLJCYmMm7cOOzs7NQuTzXfHDrOjK8MrPs9g80x12BtpU6Aa/HtARYsWIC7u7vlFhAQoHZJQgghWqiysjKmTZtGREQEr776quX+W265hYkTJ2o6uBjrzCzdlEBtcQ43hbmoFlygmYUXX19f8vLyGtyXl5eHm5vbWUddAKZNm0ZJSYnldvTo0aYoVQghRCtiMpl48803CQsLY+HChRiNRn777Te1y2pW1n7/J0kH/sCxIoceruWqLtvQrE4b9e/fn40bNza4b/PmzfTv3/+cz7G3t5cll4UQQly0rVu3Mn78eA4cOABAWFgYy5Yt45ZbblG3sGbi5MmT/Ln/IC9/tA2lrpY7+4cRGdZJ1ZoaNbyUl5eTkpJi+Tw9PZ0DBw7g6elJYGAg06ZNIzs7m3feeQeAxx9/nFWrVjF58mTGjBnDzz//zMcff8x3333XmGUKIYTQqBdeeMHS8dnd3Z1Zs2YxduxYTZ8eOqW6upr4+HiOHTvGtwePU1ZjIiikE3OeuBcHO3XXmWrU00Z//vknPXr0oEePHgDExMTQo0cPyzdKTk4OWVlZlu1DQkL47rvv2Lx5M926dWPZsmW88cYbl+0yaSGEEOJ0w4YNw9bWlieffJKUlBQmTJig+eBiMplITEzk559/5tixY5RX17Ilqw6HoG48P2KQ6sEFQKe0srXGS0tLcXd3p6SkBDc3N7XLEUII0UyYTCbWrVtHTk4OM2bMsNyfk5ODn5+fipU1D4qikJ2dTXx8PNXV1QB4enry/TFr3ttfSJSfG9+NG4hVI03UvZDjd7Oa8yKEEEI0hl9//ZUJEyZw4MABbGxsGD58OOHh4QASXICioiKOHDlCSUkJUL8CfVRUFIpTGz7+/lcAJt8U0WjB5UJJeBFCCNFqpaWl8eyzz/L5558D9StUz5o1i+DgYHULayYqKyuJi4sjJycHABsbG8LCwujYsSNWVlZM/vQgxjozfUM8uTbcW+Vq/5+EFyGEEK1OWVkZ8+bNIzY2FqPRiLW1NY8//jizZ8/Gy8tL7fJUV1tbS3JyMunp6ZjNZnQ6HYGBgURERFiu4E05Ucane48BMPmmyGa1orCEFyGEEK1ORUUFa9aswWg0cuONN7JixQr0er3aZalOURQyMzNJTEzEaDQC4O3tTXR09BnzTJb8kIhZgRuj29ErqI0a5Z6ThBchhBCtwsGDB+nWrRtQv+jpyy+/jI+PD0OHDm1WowZqyc/Px2AwUFZWBoCLiwt6vR4fH58ztt2fVcwPhjysdPDs4IimLvVfSXgRQgjRoqWmpvLss8/yxRdf8OOPP3LjjTcC8NBDD6lcWfNQVlZGXFwcJ06cAOobvEZERBAUFISV1ZkrpiiKwuJNiQDc0bMD4e1cm7Te8yHhRQghRItUUlLCiy++yEsvvWSZ13LgwAFLeNE6o9FIYmIimZmZKIqClZUVwcHBhIeHY2t77rVafksuYGdaIXbWVowfFNaEFZ8/CS9CCCFalFN9iJ5//nny8/MB+M9//sPy5ctlXgtgNptJT08nOTmZ2tpaoP40WnR0NM7Ozv/4XEVRWPJD/ajLiH6BdGjj1Oj1XgwJL0IIIVqUO++8k6+++gqAiIgIli9fzpAhQ2ReC5Cbm0tcXBwVFRUAuLm5odfrz/sKq++P5HI4uwRnO2vGXhfamKVeEgkvQgghWpQHHniAbdu2MXv2bJ544ol/PAWiFSUlJRgMBgoLC4H6psWRkZEEBAScd6irM5lZ+mP9qMvDV3XEy6X5Nj2W8CKEEKLZKikpYd68eURERPDII48A9SMvgwYNwsPDQ93imoHq6moSEhI4evQoAFZWVnTq1InQ0FBsbC7sEP/ZvmOk5VfQxsmWR68KaYxyLxsJL0IIIZqduro63nzzTWbMmEF+fj5eXl7ce++9uLi4oNPpNB9cTCYTqamppKSkYDKZAPD39ycqKgpHR8cLfr3qWhOxPyUD8OS1obg6NO/RLAkvQgghmpUtW7YwYcIEDh8+DEBkZCTLly/HxcVF5crUd7bmiW3atEGv19OmzcUvJPfeH5nklFTj6+bAg/2DLle5jUbCixBCiGYhLS2NCRMm8PXXXwP1HY3nzJnD//73P5nXQn3zRIPBwMmTJwFwdHQkOjqa9u3bX9LrltfUsebXVADGDwrDwdb6UkttdBJehBBCNAvFxcV88803WFtbM3bsWGbNmoWnp6faZamuqqqKuLg4jh8/DtQ3TwwNDaVjx45YW1960HjjtzSKKox09HLmrl4dLvn1moKEFyGEEKqoq6tjz5499O/fH4BevXrx0ksvMWjQIKKiolSuTn11dXWkpKSQmpqK2WwGIDAwkMjISEvzxEtVWF7DG7+lAxDzn3BsrM9ccbc5kvAihBCiyW3evJmYmBgSExMxGAyEhdWv5Dpu3DiVK1OfoigcO3aM+Ph4ampqAGjbti2dO3c+o3nipVrzayrlNXXo27sxtLPfZX3txiThRQghRJNJSkpi0qRJfPPNN0D9vJbk5GRLeNG6wsJCDAYDJSUlADg7OxMdHY2vr+9l39fxk1W8+0cmAJNvisTKquUs8ifhRQghRKMrLi7mhRdeYOXKldTV1WFjY2OZ13IpV8m0FpWVlcTFxZGTkwPUz2sJDw8nJCTkrM0TL4eVP6dgrDPTN8STq8PObwXe5kLCixBCiEZVW1tLz549ycjIAODmm29m6dKlREZGqltYM1BXV0dycjJpaWmYzWZ0Oh1BQUFERERgZ2fXaPs9WlTJJ3/WL2w3aXBEi2utIOFFCCFEo7K1teWxxx7jvffeY/ny5QwePFjtklSnKApZWVkkJCRgNBoB8Pb2Rq/X4+rq2uj7f3lLMnVmhavCvLgiuOVd0dUyphULIYRoMRITExk2bBhbtmyx3Ddx4kQOHjwowQUoKChg27ZtHDp0CKPRiIuLC3369KFfv35NElzSCyr4fH82ABNuDG/0/TUGGXkRQghxWRQXFzN37lxWrVpFXV0dOTk57NmzB51O16inQFqKiooKDAYDeXl5QP2IVEREBEFBQY02r+VsVm5JxmRWuC7Cm56BLXO+kYQXIYQQl6Suro5XX32VmTNnUlRUBMAtt9zCsmXLWtxcisZQW1tLUlIS6enpKIqCTqcjODiYiIiIJl85OOVEOV8eqB91ibkxokn3fTlJeBFCCHHRfv31V8aOHUtcXBwAer2e5cuX85///EflytRnNpvJysoiMTHRMq/Fx8cHvV6vWp+ml7YkY1bgxuh2dOngrkoNl4OEFyGEEBftxIkTxMXF0bZtW1544QUeffRRbGzk0HLixAkMBgPl5eUAuLq6otfr8fb2Vq2mxNwyvj1U32Jg/KCWva6OfIcJIYQ4b0VFRcTHxzNgwAAA7r77bnJychg5cqSs1wKUlZVhMBjIz88HwM7OzjKvRe1TaC9tSUJRYEhnX/TtW+6oC0h4EUIIcR5qa2t59dVXmTVrFtbW1iQnJ+Pu7o5Op+OZZ55RuzzV1dTUkJiYSFZWFoqiYGVlRUhICGFhYc2iI3bc8VI2Hs5Fp4Pxg1rmFUank/AihBDiH23atImYmBji4+OB+nktx48fx929Zf/1fjmYzWbS0tJITk6mrq4OAD8/P6KionB2dla5uv+34qckAG7p2p4I38a/HLuxSXgRQghxVgkJCcTExPD9998DyLyWv8nJySEuLo7KykoA3N3d0ev1tG3bVuXKGjp8rITNcXlY6eCZG1r2XJdT5LtPCCHEGbKzs+natSu1tbXY2Njw9NNPM2PGDDw8PNQuTXUnT57EYDBYLgt3cHAgMjKSDh06qD6v5WxOjbrc2t2fUB91rnK63CS8CCGEALCsQQLg7+/P/fffT3FxMUuWLCE8vOXPk7hU1dXVxMfHc+zYMQCsra3p1KkToaGhWFtbq1zd2R0+VsLPCSewttLxdCsZdQEJL0IIIYDvv/+eadOm8emnnxIaGgrA66+/3iwmm6rNZDKRkpJCamoqJpMJgA4dOhAVFYWDg4PK1f2zV7amADCsqx8hXpc+B0dRFPbt20evXr0u+bUuhYQXIYTQsPj4eCZOnGiZ1/LCCy/w9ttvA2g+uCiKwrFjx0hISKC6uhoAT09P9Hp9izh9lppfzvdHcgF44trQS3qtU6NyOp2OiooKqqurVQ1u0phRCCE0qLCwkKeffpouXbrw/fffY2try8SJE3nppZfULq1ZKCws5LfffuPAgQNUV1fj5ORE7969GTBgQIsILgCvbk1FUWBQVLuLvsIoLi6OIUOG8N5771nuGzhwoOoTtmXkRQghNOa1115j6tSpFBcXA3DrrbeyZMkSwsJaz5yIi1VRUUF8fDw5OTkA2NjYEBYWRseOHZu0eeKlOn6yis/31fcwevK6Thf8/MLCQubMmcOaNWswmUwkJiZy//33Y21tjZWVlervhYQXIYTQmBMnTlBcXEyXLl1YsWIFN9xwg9olqa62tpbk5GTS09Mxm83odDoCAwOJiIjA3t5e7fIu2Ou/pVFnVujX0fOCOkfX1tbyyiuvMHv2bEu4ve2221iyZEmzmpQs4UUIIVq5uLg4qqqqLJMsJ06cSIcOHXjwwQeb1QFJDYqikJmZ2aB5ore3N9HR0bi5ualc3cUpqjCyYfdRAJ68gLkuv/32G48++iiJiYkAdO3alRUrVnD99dc3Sp2XQsKLEEK0UgUFBcyePZu1a9fSuXNn9u7di7W1NY6OjowePVrt8lSXn5+PwWCgrKwMABcXF/R6PT4+PipXdmne3ZlJVa2Jzv5uXBXmdd7P0+l0JCYm4u3tzbx583j44YebbbiV8CKEEK1MbW0ta9asYfbs2Zw8eRKAkJAQSktLpXki9c0T4+LiOHHiBFB/VdWp5olqz+W4VNW1Jt79IwOAx67u9I+L5hUUFLBr1y5uvvlmoH4i7rvvvsuwYcOafesHCS9CCNFKKIrCxo0bmThxomXov1u3bqxYsYLrrrtO5erUZzQaSUxMJDMz09I8MTg4mPDw8FZzWfhXB7IpKDfS3t2BIZ19z7qN0WhkzZo1zJkzh+rqahITEwkMDATggQceaMpyL1qjR8zVq1cTHByMg4MDffv2Zffu3f+4fWxsLBERETg6OhIQEMCECRMs19cLIYQ4t19++YVbbrmFxMREfHx8eP3119m7d6/mg4vZbCY1NZWff/6ZjIwMFEXB19eXa6+9Fr1e32qCi6IovPFbOgAPDQjB1trqjMe/++47unTpwoQJEzh58iQRERGWibktSaOOvHz00UfExMSwdu1a+vbtS2xsLIMHD7b8YP3dBx98wNSpU3nrrbe48sorSUpKYvTo0eh0OpYvX96YpQohRItkMpks8xKuu+46rr/+enr37s306dNb7ITTyyknJ4f4+HgqKioAcHNzQ6/X4+V1/nNBWoqtSfkknyjHxd6G4X0CGjxmMBiIiYnhxx9/BMDHx4cXX3yRhx56qNnOa/knOkVRlMZ68b59+3LFFVewatUqoD79BgQEMG7cOKZOnXrG9k899RTx8fFs2bLFct/EiRPZtWsX27dvP699lpaW4u7uTklJifzgCiFaLaPRyOrVq3n11VfZvXu35fed2Wxu8fM2LoeSkhIMBgOFhYUA2NvbExUV1WybJ14OD7yxi+0pBTw8MIQZt0Rb7i8pKcHf35+Kigrs7OyYMGECzz33XLM7Rl7I8bvRvsONRiN79+5l0KBB/78zKysGDRrEzp07z/qcK6+8kr1791pOLaWlpbFx40aGDh16zv3U1NRQWlra4CaEEK2Voih88803dO7cmZiYGBITE3n99dctj2s9uFRXV3Pw4EG2bdtGYWEhVlZWhIWFcf311xMQENBqg0t8TinbUwqw0sHoK4MtPZgA3N3dGT9+PHfccQdxcXEsXLiw2QWXC9Vop40KCgowmUy0a9euwf3t2rUjISHhrM+5//77KSgoYODAgSiKQl1dHY8//jjPPffcOfezYMEC5syZc1lrF0KI5ujIkSPExMSwefNmoOHQv9aZTCbS0tJISUmhrq4OqO+MHRUVhaOjo8rVNb43t9fPdblJ78uB37cwaNIk1q9fT//+/QGYO3duqwq2zeor+fXXX5k/fz5r1qxh3759fP7553z33Xe88MIL53zOtGnTKCkpsdyOHj3ahBULIUTjM5vNjB07lm7durF582bs7OyYMmUKycnJPPLIIy1yzsLldPz4cX755RcSEhKoq6ujTZs2DBw4kJ49e2oiuJwoq+brA8cx5mew79WJ/Pe//yUpKYkXX3zRsk1rCi7QiCMvXl5eWFtbk5eX1+D+vLw8fH3PfvnWjBkzePDBB3nkkUcA6NKlCxUVFTz22GNMnz79rG++vb19i1y6WQghzpeVlRVlZWWYzWbuvPNOFi9eTMeOHdUuS3UnT57EYDBQVFQEgIODA9HR0bRv377Vnh46m7Xf7yfn+1WUH9hEjmJuMK+ltWq08GJnZ0evXr3YsmULt912G1D/18OWLVt46qmnzvqcysrKMwLKqb8oGnFesRBCNCuKovDtt9+i1+stIWXBggWMGTOGa6+9Vt3imoHq6mri4+M5duwYUH+cCA0NpVOnTpobhVr72uvMfWYCpur6q6m0Em4b9VLpmJgYRo0aRe/evenTpw+xsbFUVFRYzs+OHDkSf39/FixYAMCwYcNYvnw5PXr0oG/fvqSkpDBjxgyGDRumuW9IIYQ2HT58mJiYGH766SfuvPNOPv30U6B+/oa/v7/K1anLZDKRmppKSkqKZUJqhw4diIqKwsHBQeXq1LH/aAmm6gqc/UL56t1XueGG5teHqDE0angZPnw4+fn5zJw5k9zcXLp3786mTZssk3izsrIajLQ8//zz6HQ6nn/+ebKzs/H29mbYsGENztsJIURrdOp35WuvvYbZXD/0HxYWJpc+Uz8SlZ2dTXx8vGXRUk9PT/R6PR4eHuoW18QOHz5MXl4egwYNQlEUUt174XXrVOY9M4YbrgtTu7wm06jrvKhB1nkRQrQkRqORVatWMXfuXEpKSgC46667WLRoUasf+j8fxcXFHDlyxNKjydHR0TKvRUtOnDjBzJkzef311/Hz8yMxMZE/sysZ9dZunO2s2fncDbg5tOyVgi/k+C29jYQQQkVr1qxh4sSJAPTo0YPY2FiuvvpqlatSX1VVFfHx8WRnZwNgY2NDWFgYHTt21NRIlNFoZOXKlcydO9eyjln//v2pqKiwtAK454qAFh9cLpSEFyGEaGJGoxE7OzsAHnvsMT744AMef/xxRo0apfn5fXV1daSkpJCamorZbAYgMDCQyMhITV1ZqigKX3/9NZMmTSIlJQVoGG6T8sr4LbkAnQ4eujJE5WqbnoQXIYRoIqeG/vfu3csff/yBtbU1Tk5O7Nq1S1OX9p6NoigcPXqUhIQEampqAGjbti2dO3fW5BSAAwcOWK7UbdeuHfPnz28Qbt/6a1G6wdG+BLZ1UqtM1Uh4EUKIRna2of9ffvnF0j5F68GlsLCQI0eOWN4bZ2dnoqOjz7kmWGt1+ohcjx49eOCBBwgICGDatGm4urpatissr+Hz/fWn0x6+SnujLiDhRQghGs3Zhv579uxJbGwsV111lcrVqa+iooK4uDhyc3MBsLW1JSwsjJCQEE3Na6mpqWHlypUsX76c3bt306FDBwDeeeedswbb9/7IwlhnpmsHd3oHtWnqcpsFCS9CCNEIiouLueuuu/j5558B8PX1ZcGCBYwcOVJTB+azqa2tJSkpiYyMDMxmMzqdjqCgICIiIiwjD1qgKApfffUVkyZNIjU1FYC1a9cyb9484OwjcjV1Jt79IxOAhweGaHbUTsKLEEI0Ag8PDyorK7G3t2fSpElMmTKlwdC/FpnNZjIzM0lKSsJoNAL1zSWjo6M1994cOnSI8ePH88svvwANw+0/+frAcQrKa/B1c2BoF7+mKLVZkvAihBCXQU1NDWvXrmXMmDG4urqi0+l48803cXJyIjg4WO3yVJeXl0dcXBzl5eUAuLq6otfr8fb2VrmypvfMM8+watUqzGbzBYVbRVEs3aNHXRmMrbV2R/AkvAghxCVQFIUvv/ySSZMmkZaWRl5eHvPnzwcgOjpa5erUV1ZWhsFgID8/H6jvexcZGUlgYKBmT3k4OztjNpsZPnw4CxcuPO9wuyO1kITcMhxtrbm/T2DjFtnMSXgRQoiLdPDgQSZMmGAZ+vfz80Ov16tcVfNQU1NDYmIiWVlZKIqClZUVISEhhIWFYWurnQXVToXbwMBAevXqBcC0adMYOnQoAwcOvKDXOjXqcnfvDrg7aec9PBsJL0IIcYHy8vKYMWMGb7zxBoqi4ODgYBn6d3FxUbs8VZnNZtLS0khOTqaurg6oD3XR0dE4OWlrPZIDBw4wYcIEfv31V/r168eOHTvQ6XS4urpecHBJzS/n54QT9YvSDdDm5dGnk/AihBAX6LnnnuOtt94C4N5772XhwoUEBQWpXJX6jh8/Tnx8PJWVlQC4u7vTuXNnPD09Va6saeXl5fH888/z5ptvWsLtoEGDqK2tveirqU4tSndDpA8hXs6Xs9wWScKLEEL8C0VRqKysxNm5/qAxe/ZsUlNTefHFFxkwYIDK1anv5MmTGAwGioqKAHBwcCAqKgp/f39NzWupqanhpZdeYt68eZSVlQGXJ9wWVxj5bN8xAB4eKM06QcKLEEL8o/379zNhwgR8fHz4+OOPAQgICODXX39Vt7BmoLq6mvj4eI4dqz+wWltb06lTJ0JDQzXZo+nTTz9lypQpAFxxxRWsWLHisoTbD3ZnUV1rJtrPjX4dtTWKdS4SXoQQ4ixyc3N5/vnneeutt1AUBUdHR44dO2ZZ/VTL6urqSE1NJTU1FZPJBECHDh2IiorCwcFB5eqaVkVFhWVE7t5772XDhg3cc889jBgx4rIsRmisM/POzgxA24vS/Z2EFyGEOE11dTWxsbG8+OKLljVJ7rvvPhYuXKj54KIoCseOHSMhIYHq6moAPD090ev1eHh4qFtcEzsVbn/66Sfi4uJwcnLC2tqab7755rLu57vDx8krrcHb1Z5h3dpf1tduySS8CCHEX44cOcJ///tf0tPrJ0deccUVxMbGcuWVV6pcmfoKCwsxGAyUlJQA4OTkRHR0NH5+2lrl9Wzh9vvvv+fOO++87PtqsChd/yDsbLS7KN3fSXgRQoi/hISEYDQaad++PQsXLrxsQ/8tWUVFBfHx8eTk5ABgY2NDeHi45ponKorC559/zrPPPmsJt3369GHFihWNFm53pxdxJLsUexsr7u8rV7OdTsKLEEKzcnNzefXVV5kxYwZWVlY4Ozvz7bffEhYWZpnHoFW1tbUkJyeTnp5uaZ4YGBhIREQE9vb2apfXpKqqqrjpppvYtm0bAP7+/ixcuJD777+/UQPcG3+NutzRswOeztppWHk+JLwIITSnurqaFStWMH/+fMrLywkKCmL06NEAdO/eXdXa1KYoCpmZmSQmJlqaJ3p7e6PX6zXXPPEUR0dHvL29cXR0ZPLkyTz77LONHm4zCir4KT4PgIcHBjfqvloiCS9CCM1QFIXPPvuMZ599loyMDKB+6D8qKkrdwpqJEydOEBcXZ1mjxMXFBb1ej4+Pj8qVNa1T81oefPBB/P39AYiNjWXFihUEBAQ0SQ3rd2SgKHBthDehPtoMjf9EwosQQhP27dvHhAkTmnzovyUoKysjLi6OEydOAPXNEyMiIggKCtLUpbmKovDpp58yefJkMjIyiI+P5+233wZo0ivNSqpq+fjPo0D95dHiTBJehBCtnqIojB07lj/++KNJh/6bO6PRSFJSEhkZGZbmicHBwYSHh2uqeSLUh9vx48fz22+/AfXhdvDgwarUsmF3FpVGExHtXBkY6qVKDc2dhBchRKtUXV2N2WzGyckJnU7H8uXLWbVqFQsXLmyyof/mymw2k5GRQVJSErW1tQD4+voSHR2tuUCXk5PD9OnTWb9+vWUxwilTpjBp0iRV3os6k5m3d2QAsijdP5HwIoRoVU4f+n/ggQd44YUXAOjfvz/9+/dXuTr15eXlYTAYqKioAMDNzQ29Xo+Xlzb/wl+5ciXr1q0DYMSIEaovRvj9kVyOl1Tj5WLHf7vLonTnIuFFCNFq7N27l/Hjx7N9+3YAPvroI2bOnKm5UyBnU1paisFgoKCgAAB7e3siIyMJCAjQ1F/3iqJQXFxs6XQ9depUDh8+zPTp0+nXr5/qtZ26PHpE3yAcbLXXH+p8SXgRQrR4x48fZ/r06bz99ttnDP1rPbjU1NSQmJhIVlaWZV5Lx44dCQsLw8ZGW4eAU+HWbDazfft2dDodbm5ul31J/4u1L6uYg0dPYmdjxQP9ZFG6f6Kt71whRKvz1VdfMWLECMtpkAceeIAFCxZovg+R2WwmPT2dpKQk6urqAGjfvj1RUVE4OTmpXF3TOlu4jY+PJzo6Wu3SGjjVCuC27u3xdtXWQoAXSsKLEKJF69GjByaTiX79+hEbG0vfvn3VLkl1OTk5xMXFUVlZCYC7uzudO3e2nCrRiqqqKpYvX86CBQuafbg9WlTJpiO5AIyRy6P/lYQXIUSL8ueff/LDDz8wffp0AAIDA9m9ezedO3fW1NyNsykpKcFgMFBYWAiAg4MDkZGRdOjQQXPvTVpaGtdffz2ZmZkAzT7crt+RgVmBq8K8iPR1U7ucZk/CixCiRTh+/DjPPfecZdGw6667ztIQr0uXLmqWprrq6mrLvBYAKysrQkND6dSpk+bmtZwSFBSEu7s7AQEBLFq0iHvvvbfZBriy6lo+2lO/KJ2MupwfbX5XCyFajKqqKpYtW8aCBQssp0EefPBBgoJkQqPJZCItLY2UlBTLvBZ/f3+ioqJwdHRUubqmdfz4cZYsWcL8+fNxdHTE2tqazz//HD8/v2Y/x+fjP49RXlNHJ29nrgnzVrucFkHCixCiWVIUhY8++ogpU6ZYRhT69+9PbGwsffr0Ubk69WVnZxMfH09VVRUAbdq0Qa/X06ZNG5Ura1p/D7deXl6WU4qdOnVSubp/ZzIrrPu9fqLuwwM7YmXVPEeHmhsJL0KIZqmyspKJEydy/PhxAgICWLx4McOHD2+2Q/9Npbi4GIPBQHFxMVA/ryU6Opr27dtr6r05V7i98cYbVa7swvxoyOVYcRVtnGy5o6e/2uW0GBJehBDNRk5ODu3atcPKygpnZ2eWLVtGcnIyEydObPZD/42tqqqK+Ph4srOzAbC2tiYsLIyOHTtiba2txcx2797NhAkT2LFjB0CLDrdvyqJ0F0XCixBCdZWVlSxbtoyFCxfyyiuvMHLkSADuvfdelStTX11dHSkpKaSmpmI2m4H6g3VkZCQODg4qV6eOhQsXsmPHDpycnJg2bRoTJ05skXN8Dhw9yZ+Zxdha6xjZX+ZwXQgJL0II1SiKwoYNG5gyZQpHj9ZfbfHNN99YwouWKYrC0aNHSUhIoKamBoC2bdui1+txd3dXubqmVVlZSXV1tWWdmsWLF+Ph4cG8efNo377l9v85NeoyrFt7fNy0GUQvlpXaBQghtGnXrl0MGDCA+++/n6NHjxIYGMiGDRv4+OOP1S5NdQUFBWzbto2DBw9SU1ODs7MzV1xxBVdeeaWmgouiKHz44YdERkYyceJEy/2hoaG89dZbLTq4HD9ZxcbDOUB992hxYWTkRQjR5ObNm8eMGTMAcHZ2Ztq0acTExLTIof/LqaKigri4OHJz61datbW1JTw8nODgYKystPW35q5du5gwYQI7d+4E4Ndff6W8vBwXFxeVK7s83t6Zgcms0K+jJ/r22gmkl4uEFyFEk7vuuuvQ6XSMGjWKF198sUX/BX051NbWkpSURHp6OoqioNPpCA4OJjw8HDs7O7XLa1LHjh1j2rRpvPfee0DrDLcVNXV8uKv+CqlHBnZUuZqWqdGj/OrVqwkODsbBwYG+ffuye/fuf9z+5MmTjB07Fj8/P+zt7QkPD2fjxo2NXaYQopEoisIHH3zAyy+/bLlvwIABpKSksG7dOk0Hl1PNE7ds2UJaWhqKouDj48O1115L586dNRdcNm/eTHh4uCW4jB49mqSkJKZPn95qggvAp3uPUVpdR4iXM9dH+qhdTovUqCMvH330ETExMaxdu5a+ffsSGxvL4MGDSUxMxMfnzP8wo9HIjTfeiI+PD59++in+/v5kZmbi4eHRmGUKIRrJrl27GD9+PH/88QcODg7cdtttBAYGAtCxo7b/4szLyyMuLo7y8nIAXF1d0ev1eHtrd4XVPn364OLiQq9evYiNjaVXr15ql3TZmU9blO6hAcGyKN1FatTwsnz5ch599FEeeughANauXct3333HW2+9xdSpU8/Y/q233qKoqIgdO3Zga2sLQHBwcGOWKIRoBEePHmXatGm8//77QP3Q/3PPPafpA/MppaWlxMXFkZ+fD4CdnR2RkZEEBga2uDVKLtUff/zB+++/z8svv4xOp8Pd3Z1du3YRHBzcat+LLQknyCisxN3Rlrt6Na/O1i1Jo502MhqN7N27l0GDBv3/zqysGDRokGUC1t99/fXX9O/fn7Fjx9KuXTs6d+7M/PnzMZlMjVWmEOIyqqysZM6cOURERFiCy+jRo0lOTua5555rVUP/F6qmpoZDhw6xbds28vPzLc0Tr7/+eoKCglrtwfpsjh49ygMPPED//v1ZtWoVn3zyieWxkJCQVv1evPFbGgD39QnEyU6mnV6sRnvnCgoKMJlMtGvXrsH97dq1IyEh4azPSUtL4+eff2bEiBFs3LiRlJQUnnzySWpra5k1a9ZZn1NTU2NZAwHq/6oRQqjjxIkTLFiwgJqaGgYOHNhqh/4vhNlsJi0tjeTkZEvzRD8/P6KjozW3anBFRQVLlixh8eLFVFVVodPpGD16NFdddZXapTWJI9kl7EovwsZKx6grZVG6S9GsYp/ZbMbHx4fXXnsNa2trevXqRXZ2NkuWLDlneFmwYAFz5sxp4kqFEKekpKQQGhoK1J/mXbRoEe3bt+euu+5q1X9Bn4/jx48THx9v6Ybt4eGBXq+3LLamFWazmQ8++ICpU6da2htoMdy+/teoy9Aufvi5a3cU8nJotPDi5eWFtbU1eXl5De7Py8vD19f3rM/x8/PD1ta2QZ+OqKgocnNzMRqNZ515f+oSulNKS0sJCAi4TF+FEOJcjh49ytSpU/nwww/5/fff6d+/PwDPPPOMypWp7+TJkxgMBoqKioD65olRUVH4+/trMtCZzWYWL15MdnY2QUFBLFmyRHPh9lhxJd8eql+U7rGrtT1Z/XJotDkvdnZ29OrViy1btljuM5vNbNmyxfJL7u9OXT55qn8HQFJSEn5+fue8ZNDe3h43N7cGNyFE46moqGD27NlERETwwQcfALBt2zaVq2oeqqqq2LdvH7/99htFRUVYW1sTERHB9ddfT4cOHTR1sD569CjV1dUA2NjY8NJLLzF//nwSEhK4++67NfVeQH0rAJNZYWCoF539ZVG6S9Wo67zExMTw+uuv8/bbbxMfH88TTzxBRUWF5eqjkSNHMm3aNMv2TzzxBEVFRTzzzDMkJSXx3XffMX/+fMaOHduYZQohzoPZbOa9994jIiKCOXPmUFVVxVVXXcWePXuYMmWK2uWpqq6ujsTERH755RfLaZGAgACuv/56wsPDNdX1uaKiglmzZhEREcGKFSss91933XVMmzZNk80kiyuMbNhd37vrf9fIqMvl0KhzXoYPH05+fj4zZ84kNzeX7t27s2nTJssk3qysrAZLXgcEBPDDDz8wYcIEunbtir+/P88884zmfzEK0RzceeedfPnll0D93JYlS5Zw5513au4v6NMpisKxY8dISEiwjDJ4enrSuXNnTfUggvpw+/777zN16lSOHz8OwO+//25ZMVjL3vsjk6paE9F+bgwM9VK7nFZBpyiKonYRl1NpaSnu7u6UlJTIKSQhLqP169czbtw4pk+fzvjx4zX5F/TpCgsLMRgMlJSUAODk5ER0dDR+fn4qV9b0du7cyfjx4y0rqAcHB7N06VLuuOMOzQeX6loTAxf9TEG5kZfu7c6t3f3VLqnZupDjd7O62kgI0TxUVFSwePFioqOjGT58OFB/mnfIkCFnLH+gNZWVlcTFxZGTUz/50sbGhvDwcEJCQjTXPBEgNjaWCRMmAODi4iLh9m8+23eMgnIj/h6ODO2ivWDbWCS8CCEs/j707+/vz7Bhw3BycsLKykrTwaWuro7k5GTS0tIwm83odDqCgoKIiIjQXA+i0918881MnTqVBx54gHnz5p3zalItqjOZeXVr/eXRDw8MwdZae+G2sUh4EUIAsGPHDsaPH8+ePXuA+pVOlyxZoulVcaF+XktWVhYJCQkYjUYAvL290ev1uLq6qlxd0zoVbuPj45k/fz4AYWFhZGRkSGg5i28OHSerqBJPZzvu7SNLeFxOEl6E0LisrCymTJnChg0bgPoGgdOnT+eZZ57R/NB/QUEBBoPBsnK3s7Mzer1ekyNQp4dbnU7H3XffTY8ePQAkuJyF2ayw5pdUoH7URVoBXF7ybgqhcZmZmWzYsAGdTsfDDz/MCy+8oPmDUUVFBXFxceTm5gJga2tLeHg4wcHBmpvXkpmZydSpU88It1FRUSpX1rz9GJdL8olyXB1seLC/tAK43CS8CKExZrOZI0eO0LVrVwCuuuoq5s2bx80330z37t3VLU5ltbW1JCUlkZGRYZnXEhwcTEREhKXTvVZUVFSwcOFCli5dSnV1tYTbC6AoCqt+SQFg9JXBuDlo63unKUh4EUJDfv/9d8aPH4/BYCAxMdHSSmP69OkqV6YuRVHIzMwkMTHRMq/Fx8cHvV6Pi4uLytWpo7a2lldeeYXq6mquueYaYmNjNR9uz9fWpHyOZJfiaGvNQwNC1C6nVZLwIoQGZGZmMmXKFD766COgfuj/0KFD0geM+k7YcXFxlJWVAfXvjV6vx9vbW+XKmt6BAwfo1q0bOp0ODw8PVq1ahb29Pbfddpvm12s5X4qisOrn+lGXEX0D8XTW7pVojUnCixCtWHl5uWXov6amBp1Ox6OPPsrcuXM1Oen0dOXl5RgMBk6cOAHU92OLiIggKChIcwfqjIwMpkyZwscff8ynn37KnXfeCcC9996rcmUtz+8phfyZWYydjRWPSgPGRiPhRYhWymg00rVrV9LT0wG49tpriY2NpVu3bipXpi6j0WiZ16IoClZWVgQHBxMeHq65eS3l5eUsWLCAZcuWWcLt4cOHLeFFXBhFUVi+ORGoH3Vp56btq/Uak4QXIVopOzs77r33Xj7++GOWLl3KrbfeqrkRhdOZzWYyMjJISkqitrYWqL/ENzo6GmdnZ5Wra1pms5l33nmHadOmWa6ouu6661ixYoXmw+2l2JqUz76skzjYWvHEtZ3ULqdVk95GQrQSp4b+J0yYQL9+/YD6peytra2xt7dXuTp15ebmEhcXR0VFBQBubm7o9Xq8vLTZJO+BBx7g/fffB6BTp04Sbi8DRVG4bc0ODh49yaNXhTD95mi1S2pxpLeREBpSVlbGwoULLUP/2dnZbN++HahvFqhlpaWlGAwGCgoKALC3tycyMpKAgABNH6hHjRrFN998w4wZMxg3bpzmw+3l8EviCQ4ePYmjrTX/u0ZGXRqbhBchWiiz2czbb7/Nc88912DoPzY2Vt3CmoHq6moSExPJysoCwMrKik6dOhEaGoqNjbZ+7ZWVlbFgwQJ8fHwYP348ADfeeCOZmZl4eHioWltrUT/XJQmAkVcG4eUiYbCxaeunWIhWYseOHYwbN459+/YB9UP/y5Yt47///a+mRxRMJhNpaWkkJydjMpkAaN++PVFRUZobhfp7uHVxceGBBx6wnCqT4HL5/GDI40h2Kc521vzvahl1aQoSXoRogRISEti3bx9ubm7MnDmTp556SvND/9nZ2cTHx1NVVQVAmzZt0Ov1tGnTRuXKmt62bdsYP348+/fvB/4/3LZt21blylqfOpOZpT/WX2E0ZmCIrOvSRCS8CNEClJWVkZKSYmmEN2rUKLKzs/nf//6Hj4+PytWpq7i4GIPBQHFxMQCOjo5ERUXRvn17zY1CHT16lJiYGD799FMACbdN4PP92aScKMfDyVbWdWlCEl6EaMZMJpNl6N/W1pbExEScnJywtrZmxowZapenqqqqKuLj48nOzgbA2tqasLAwOnbsiLW1tcrVqaOyspIvv/wSKysry2KEWg+3jam61sRLPyUD8OS1naSHUROS8CJEM/X3of/Q0FAyMzM13823rq6OlJQUUlNTMZvNAAQGBhIREYGDg7YWBTOZTOzYsYOrrroKgIiICFavXk2/fv0sjTdF43l/VxbZJ6vwdXNgZP9gtcvRFAkvQjQz6enpTJ482TL07+7ubhn6t7PT7vl0RVE4evQoCQkJ1NTUANC2bVv0ej3u7u4qV9f0tm7dyoQJEzhw4AD79u2zNE187LHH1C1MI8pr6lj9V+foZwaF4WCrzdE+tUh4EaIZOTWyUlNTg5WVFY899hhz587VZJPA0xUUFGAwGCgtLQXA2dmZ6OhofH19Va6s6aWlpTF58mQ+++wzoD7cpqSkSMfnJvbatjSKKoyEeDlzd68OapejORJehGhGgoKCuPnmmyktLWX58uV06dJF7ZJUVVFRgcFgIC8vDwBbW1vCw8MJDg7GyspK5eqaVmlpKQsWLGD58uUYjUYJtyrKK63m9W1pAEz6TwQ21tr6XmwOJLwIoaKtW7fy/PPPs2HDBvz9/QF49913cXR01NyVMqerra0lKSmJ9PR0FEVBp9NZmidq8dSZ2WzmyiuvxGAwADBo0CAJtypa/mMSVbUmegZ6MLSL9kb/mgOJi0KoIC0tjTvvvJNrr72W7du3M3fuXMtjTk5Omg0uZrOZ9PR0tmzZQlpaGoqi0K5dO6699lo6d+6syeAC9SsEP/HEE4SFhfHNN9/w448/SnBRSWJuGZ/sPQrA9JujNPuzqjYZeRGiCZWWljJ//nxWrFhhGfp//PHHmTNnjtqlqS4vLw+DwWBpnujq6oper9fkKZFT81pGjBjB7bffDsD//vc/Hn30Uc0GuOZiwffxmBUY0tmXXkGeapejWRJehGgib7/9NpMnT+bEiRNAfX+Z5cuX07lzZ5UrU9fZmidGREQQGBioub9q/x5uDx8+zK233oqVlZXmejI1R9uTC/g1MR8bKx1TbopUuxxNk58GIZpIXFwcJ06cIDw8nOXLlzN06FDNHZxPV1NTQ0JCAkePHkVRFKysrOjYsSNhYWGaO1CbTCbWrVvH9OnTzwi3WpuY3FzVmczM+y4OgAf6BRHs5axyRdqmrd8QQjSh1NRUampqiI6OBmD69OkEBATw2GOPaXro32w2k5qaSkpKCnV1dYB2mycC7Ny5kyeeeIKDBw8CSLhtpt77I5OE3DI8nGx55oYwtcvRPAkvQlxmpaWlzJs3j5deeonevXuzfft2dDodbm5uPPXUU2qXp6rjx48TFxdnaZ7o4eGBXq/H01O7cwdKS0s5ePAgHh4ezJ49myeeeELT4bY5KiivYfnmJKD+0ug20nxRdRJehLhMTCYTb731Fs8//7xl6N/FxYXS0lJNrgB7upMnT2IwGCgqKgLAwcGBqKgo/P39NTe6UFpayv79+7nmmmsAGDx4MKtXr2b48OHS9bmZWrIpkdLqOvTt3bivT6Da5QgkvAhxWfz8889MmDCBQ4cOAfU9ZpYvX86QIUM0d3A+XXV1NfHx8Rw7dgyob54YGhpKp06dNNc88fRwW1VVRXJyMu3atQPgySefVLk6cS4Hjp7koz/rL42ee6seayvt/jw3JxJehLhEmzZtYsiQIQC0adPGMvRva6vdDrMmk8nSPNFkMgEQEBBAZGSk5ponwtnDbU5OjiW8iObJbFaY9dURAO7o6S+XRjcjEl6EuAinVn2F+qtCevXqRf/+/Zk9e7amh/4VRSE7O5v4+Hiqq6sB8PT0RK/X4+HhoW5xKkhJSeHZZ5/lyy+/BCTctjSf7D3KwWMluNjbMHWIXBrdnEh4EeICmEwm3njjDd544w22bduGo6Mj1tbW7Ny5U/MHo6KiIgwGAydPngTA0dGR6Oho2rdvr25hKikqKqJbt25UVlZibW3Nk08+yaxZszQdbluSk5VGFm1KBGD8oDB8XLU3YticSXgR4jxt2bKFCRMmcPjwYQDeeOMNxo0bB6Dp4FJVVUV8fDzZ2dkA2NjYEBYWRseOHTW3RsnpI3Kenp488sgjJCUlsXz5cqKiolSuTlyI5ZuTKKowEt7OhVFXBqtdjvgbCS9C/Ivk5GQmTZrE119/DdQP/c+ZM4fHH39c5crUVVdXZ5nXYjabAQgMDCQyMhJ7e3uVq2t6W7ZsYdKkSaxfv55u3boBsHTpUk0H25bKcLyE9/7IBGD2f/XYStfoZkfCixDnYDKZmDJlCi+//DK1tbUy9P8XRVE4duwY8fHx1NTUANC2bVs6d+6Mm5ubytU1vb+H2zlz5vD5558D2h6Ra6kURWHWVwbMCtzS1Y8rO3mpXZI4CwkvQpyDtbU1qamp1NbWctNNN8nQP1BYWIjBYKCkpAQAZ2dnoqOj8fX1Vbmypnfy5EleeOEFVq5caQm3Y8eOZdasWWqXJi7BF/uz+TOzGEdba6bfrO2f9+ZMwosQp/npp58aTDJdunQpjz32mOVSaK2qrKwkLi6OnJwcoH5eS3h4OCEhIZqb1wLwzjvvMHHiREszySFDhrBs2TLNh9uWrqy6lvkbEwAYd0Mofu6OKlckzkXCixDUD/1PnDiRb775htGjR7Nu3ToAOnXqRKdOnVSuTj11dXUkJyeTlpaG2WxGp9MRFBRERESEppewP3nyJAUFBURFRbFs2TLNh9vW4qWfkikor6GjlzMPDwxRuxzxDyS8CE0729C/u7t7g6tGtEhRFLKyskhISMBoNALg7e2NXq/H1dVV5eqaXlJSEoWFhfTv3x+AJ554AldXVx544AGZ19JKJOWVsW5HBgCz/qvH3kZbK0C3NE0y3rt69WqCg4NxcHCgb9++7N69+7yet2HDBnQ6HbfddlvjFig0p66ujldeeYWwsDCWL19ObW0tQ4cO5fDhw8TGxmo6uOTn57N161YOHTqE0WjE2dmZPn360K9fP80Fl5MnTxITE4Ner2fkyJGWIGdra8tDDz0kwaWVODVJ12RW+E90O64J91a7JPEvGn3k5aOPPiImJoa1a9fSt29fYmNjGTx4MImJifj4+JzzeRkZGUyaNImrrrqqsUsUGrR8+XKmTJkCQFRUFMuXL+emm25SuSp1lZeXYzAYLE0lbW1tiYiIICgoSHPzWurq6nj99deZMWMGhYWFAISHh3Py5Ml//L0lWqbvDuewM60QexsrZtwSrXY54jzoFEVRGnMHffv25YorrmDVqlUAmM1mAgICGDduHFOnTj3rc0wmE1dffTVjxozht99+4+TJk5bltf/NqQ6+JSUlmrxsU5ybyWSyNAMsKSmhX79+jB07lv/973+a/gvaaDSSlJRERkaG5XRZSEgI4eHhmnxfNm/ezIQJEzAYDICE29auoqaOQcu3klNSzYRB4TwzKEztkjTrQo7fjTryYjQa2bt3L9OmTbPcZ2VlxaBBg9i5c+c5nzd37lx8fHx4+OGH+e233/5xHzU1NZa1JqD+ixfidMXFxbzwwgscPHiQn376CZ1Oh7u7OwaDQXMjCqczm81kZGSQlJREbW0tAL6+vkRHR+Ps7KxyderYvXs3//nPf4D6FXLnzp3L//73P2xsZHpga7XqlxRySqoJ8HTkf9d0VLsccZ4a9SeyoKAAk8l0RufUdu3akZCQcNbnbN++nTfffJMDBw6c1z4WLFjAnDlzLrVU0QrV1dXx2muvMXPmTMvQ/9atW7n22msBNB1ccnNziYuLo6KiAgA3Nzf0ej1eXtpbkOv0EbkrrriCW265hdDQUGbOnEmbNm1Urk40prT8ct74LQ2AmbfocbCVSbotRbP6c6KsrIwHH3yQ119//bx/iU6bNo2YmBjL56WlpQQEBDRWiaKF+PHHH5kwYQJxcXEAREdHs3z5cktw0arS0lIMBoNlfRJ7e3siIyMJCAjQ3CTlU+F2+fLl7Ny5E29vb3Q6HV999ZWmg61WKIrC7G/iqDUpXBfhzaAomcvUkjRqePHy8sLa2pq8vLwG9+fl5Z11Rc7U1FQyMjIYNmyY5b5TPVNsbGxITEw8Y80Ne3t7TfZREWdXWFjIqFGj+O677wAZ+j+lurqaxMREsrKygPpRp06dOhEaGqrJ9+Xv4Xb16tXMnj0b0PaInJZsjstjW1I+dtZWzBym11x4b+ka9beWnZ0dvXr1YsuWLZbLnc1mM1u2bOGpp546Y/vIyEhLx95Tnn/+ecrKynjppZdkREX8K3d3d7KysrCxseGpp57S/NC/yWQiLS2N5ORkTCYTAP7+/kRFReHoqL3VQxMTE5k4caIl3LZt25a5c+fy2GOPqVyZaErlNXXM+aY+uD56dQghXtqc49WSNfqfXDExMYwaNYrevXvTp08fYmNjqaio4KGHHgJg5MiR+Pv7s2DBAhwcHOjcuXOD53t4eACccb8QUD/0v379eh544AEcHBywsbFh3bp1uLi4EBERoXZ5qsrOziY+Pp6qqiqgvhu2Xq/XZJhTFIXJkycTGxtLXV0dNjY2jBs3jhkzZmjy/dC6JZsSyD5ZRYCnI2OvC1W7HHERGj28DB8+nPz8fGbOnElubi7du3dn06ZNlkm8WVlZMkwrLsoPP/xATEwMcXFx5OfnW65q69Wrl8qVqau4uBiDwUBxcTEAjo6OREVF4e/vr3Jl6tHpdFRVVVFXV8ewYcNYunQp4eHhapclVPBnRhHv/JEJwILbu+Jkp73Tpq1Bo6/z0tRknZfWLyEhgYkTJ7Jx40agfuh/8eLFjBkzRuXK1FVVVUVcXBzHjx8H6rtih4WF0bFjR8vVNFryww8/EBAQQHR0/aJjBQUF7N+/nxtvvFHlyoRaqmtN3Pzyb6TmV3B3rw4subub2iWJ0zSbdV6EuJyKioqYM2cOa9assQz9P/3008yYMcNyelGL6urqSElJITU11TLBPTAwkIiICBwcHFSurumdHm4HDRrEjz/+iE6nw8vLS4KLxq3+JYXU/Aq8XOx5/mZZSbclk/AiWoynn36a999/H4D//ve/LFmyRNND/4qicPToURISEiwLNXp5eaHX6zU56ni2cNu1a1fq6uo0uVKwaGh/VjGv/JoKwNxb9bg7yfdESybhRTRrRqMROzs7AGbNmkVCQgILFy5k0KBBKlemroKCAgwGg2VFaWdnZ6Kjo8+6BEFrV1tby9q1a5k1a5Zlno+EW3G60upaxn24nzqzws1d/RjSWXs/J62NhBfRLMXHxzNx4kT8/Px48803AQgLC2PPnj2aXo+hoqICg8FgWTvJ1taW8PBwgoODNTvx/Z133uHpp58G6q9KXLFihebDrfh/iqIw7fPDHCuuokMbRxbc0UXTv0NaC5mwK5qVwsJCy9C/yWTC3t6ejIwMTY4onK62tpakpCTS09MtzRODg4MJDw+3jExpyekjcrW1tVx//fWMGDGCRx55RJOL7olz27A7i6mfH8bGSsfHj/enZ6BcGt9cyYRd0eLU1tbyyiuvMHv2bMvQ/6233sqSJUs0HVzMZjOZmZkkJiZamie2a9eO6OhoXFxcVK6u6Z0Kt1u2bGH//v3Y2dlha2vLtm3b5K9pcYb4nFJmf1PfHXzS4AgJLq2IhBehOoPBwF133WVp1tm5c2diY2O54YYbVK5MXXl5ecTFxVFeXg6Aq6srer0eb29vlStremcLtxs3brSs3C3BRfzd0aJKRr21m+paM1eFefHYVdIxujWR8CJU5+/vT0FBAV5eXsybN4+HH35Y00P/ZWVlGAwG8vPzgfo2G5GRkQQGBmruIK0oCt9//z0xMTEkJiYC0KVLF1asWKH5cCvOrajCyKi3dnOirIaIdq6sur8nVlba+tlp7bR7hBCqKSws5J133mH8+PHodDo8PDz46quviI6O1vR6LUajkYSEBLKyslAUBSsrKzp27EhoaKgmL/UtLy/nrrvu4ocffgDA29vbEm61uOieOD+VxjoeWr+HtIIK/D0ceXtMH9wdtffz09pJeBFNpra2ljVr1jB79mxOnjxJYGAgd955JwBXXnmlytWpx2w2k56eTlJSEnV1dQD4+fkRHR2Nk5OTytWpx9nZGbPZjK2tLePHj2f69Om4u7urXZZoxmpNZp58fx8Hj57Ew8mWt8f0wdddews1aoGEF9HozjX0f6q/lZbl5uYSFxdHRUUFUN8VW6/X07ZtW5Ura3qn1mu577778PLyQqfTsWbNGgBCQ6V5nvhniqIw5bND/JqYj4OtFW+NvoJQH+1NatcKCS+iUcXFxRETEyND/39TWlrKkSNHKCwsBMDe3p6oqCg6dOigyXktGzduZOLEiSQmJpKQkMDq1asBCS3i/C3clMDn+7KxttKxZkRPubKolZPwIhqNoiiMGDGCAwcOyND/X2pqaizzWgCsrKzo1KkToaGhmpykbDAYiImJ4ccffwTqw23Pnj1Vrkq0NG/8lsarW9MAWHhHF66PlFHd1k57vy1Fo6qtrUVRFOzs7NDpdCxevJg1a9awZMkSTf8VbTabSU1NJSUlxTKvxd/fn6ioKBwdHVWurukVFBQwe/Zs1q5di8lkws7OjvHjx/Pcc89pOtyKC/fGb2nM+y4egMk3RXB37wCVKxJNQVbYFZfF6UP/Dz30EFOmTFG7pGbj+PHjxMfHU1lZCYCHhwd6vR5PT0+VK1PPhAkTiI2NBeD2229nyZIldOrUSd2iRIvz6tZUFnxfvz7U2Os6Mek/EZo77dqaXMjxW8KLuGR/H/rv1KkTCQkJmjwNcrqTJ09iMBgoKioCwMHBgejoaNq3b6+5X7CKolBZWYmzszMA+fn53H333cyaNYvrrrtO5epES7T6lxSW/FB/AcD4QWE8c0OY5n6uWhtpDyCaREFBAbNmzeLVV189Y+hfy8Glurqa+Ph4jh07BoC1tTWhoaF06tRJk5OUT4VbgE2bNqHT6fD29ubXX39VtzDRItWZzLzwbRxv78wEYOKN4Yy7IUzlqkRT0+4RRlySr7/+mpEjR1JSUgLAHXfcweLFizU99G8ymSzzWkwmEwAdOnQgKioKBwftrTVxKtyuXbsWs9mMnZ0dSUlJREREqF2aaKEqauoY9+F+fk44gU4H04dG8Ygs+69JEl7ERYmIiKCiooJu3boRGxvLtddeq3ZJqlEUhezsbOLj46murgbA09MTvV6vyRWDjUYjq1evZs6cORJuxWWTfbKKR9/+k7icUhxsrYgd3p2bOvupXZZQiYQXcV6OHDnCL7/8wrhx44D68PLbb79xxRVXaPJUyClFRUUYDAZOnjwJgKOjo2VeixalpKQwdOhQkpOTAejevTsrVqzQdLgVl25LfB4xHx+kpKoWLxc73hh1Bd0DPNQuS6hIwov4R/n5+ZZ5LYqicNVVV9G9e3cA+vXrp25xKqqsrCQ+Pp7jx48DYGNjQ1hYGB07dsTKykrl6tQTGBiIoij4+Pgwf/58Ro8erelwKy5NrcnMkh8SeW1b/Rou3Tq4s3pETzq00W7bDFFPwos4K6PRyKpVq5g7d65l6P/OO+/U5GmQ09XV1ZGcnExaWhpmsxmdTkdAQACRkZHY29urXV6Ty8/PZ9WqVTz//PPY2tpiZ2fHF198QWBgoFztJy7J/qxinvviCPE5pQA8NCCYaUOisLPR7h8H4v9JeBENKIrCN998w8SJE0lJSQGgR48erFixgmuuuUbl6tSjKApZWVkkJCRgNBqB+tVgo6OjNXmQ/nu4bdu2LU8//TQAnTt3Vrk60ZKVVNWyeFMCH+zOQlHAw8mWhXd0kfktogEJL6KBsrIyHnroIYqKimjXrh3z589n1KhRmh76z8/Px2AwUFZWBoCLiwvR0dGabCx5rnDbo0cPlSsTLV1JVS3rf8/gze1plFbXr0J9Z88OPDc0krYu2hvVFP9MwougqKiINm3aoNPpcHNzY+HChaSnpzNt2jRcXV3VLk815eXlGAwGTpw4AYCtrS0REREEBQVpcl7L4cOHmTBhAlu2bAGQcCsui9ySat77I5O3d2RQVlMfWsJ8XJh7a2f6d9Jed3VxfmSFXQ0zGo2sXLmSuXPnsn79em6//Xa1S2oWjEYjSUlJZGRkoCgKOp2OkJAQwsPDsbW1Vbs81dx000388MMP2NvbExMTo/lwKy6eyaywI7WA9/7I5Kf4E5jM9Yeh8HYuPH1DGEM6+2FtJavlao2ssCv+kaIofP3110yaNMky9P/+++9rPryYzWYyMjJISkqitrYWAF9fX6Kjoy3L2mtJTU0NRqPRElCWLFmCu7s7CxcuJCQkROXqREtTXWtiZ2ohm47k8lN8HoUVRstjfUI8eejKYAbrfbGS0CLOg4y8aMyhQ4eYMGECP//8M1B/cF6wYAEjR47U5KmQU3Jzc4mLi6OiogIANzc39Ho9Xl5eKlfW9E6F24kTJzJ06FBefvlltUsSLZDJrJCUV8aO1EK2JeWzK72Q6lqz5XF3R1tu696eEf2CCG8nI3hCGjNKeDmHBQsW8Pzzz2M2m7G3t2fixIlMnTpV00P/paWlHDlyhMLCQgDs7e2JjIwkICBAk03e/h5uO3ToQGJiIk5Osq6GODtFUSisMJKWX0Fafjmp+eUcPFbCkewSKo2mBtv6ujlwY3Q7bursS58QT2yttfsHkziTnDYSZ9WzZ0/MZjP33HMPixYtIjg4WO2SVFNdXU1iYiJZWVkAWFlZ0alTJ0JDQzXZVPLEiRPMmDGDN95444xwK8Gl+TCbFerMCiazQp3Z/NdHhTpTw89Nf91nMiuYlVM3gPqPZnP9R+Wv+09to/z1b+W0+8prTJRV11JWXXfaxzqKKozklFSRU1JNTZ35rPW62NvQI9CDq8O8uTrcm/B2Lpr8o0Bcftr7La0RiqLw1VdfUVxczEMPPQTA4MGDOXToEF26dFG5OvWYTCbS0tJITk62NE/09/cnKioKR0dHlatTx+bNm7nrrrsoLa1fDEzC7eVlMisUVxopLDdSWFFDYbmRk1W1VNbUUWk0UWk89dFERU0dVbX1H0/dd2qbqloTzXWcXKeD9u6OdPR2ppO3C9F+bnQP9KCTt4tMvBWNQsJLK3Tw4EEmTJjAL7/8gqurK0OHDrWsSaLl4HKqeWJVVRUAbdq0Qa/X06ZNG5UrU9epdg+9evUiNjaWgQMHqltQC2MyKxw/WUVmYSUZhRVkFVWSUVD/Mb+shqJKY6OHDhsrHdZWOstHW2srrP/6t5VOh5UV6NBhpQMrnQ7dXx8b/Pu0bXS6/9/Wyd4GVwcbXE99dLDF1cEGDydb/Nwdae/uSDt3e+xt5HJ50XQkvLQiJ06c4Pnnn+eNN95AURTs7e15+umnNXmlzOmKioqIi4ujuLgYqG+eGBUVhb+/v8qVqePgwYN88sknzJs3D6hfKXjnzp1ERkZqetL2vymvqSMhp5T4nFLSCiosYeVoUSW1pn9PJ22cbGnrYk9bZzs8nGxxtrfByc4aZzsbHE/76GRnjZPdX4/ZW+Noa4OzvTUOttbYWOmwsbY6I6zIqRihNRJeWoGamhpefvllXnjhBcsqsMOHD2fRokUEBQWpXJ16ztY8MTQ0lI4dO2pyUbW8vDzLvBZFURgwYABDhgwBIDo6WuXqmpf8shoOHj1J3F9hJS6nlMzCynNub2dtRQdPR4LbOhPU1ongts4EtnXC182Bti52eDrZYSOTU4W4bCS8tAKnVsM1mUz07t2bFStWaHro/+/NE6G+27FWmyfW1NTw0ksvMW/evAbhVgJLvVOX9O7NLGZfZjF/ZhaTVXT2oOLr5kCUnyuhPi4Eezlbwoqfu6PM7RCiCUl4aaGOHz9O+/btAYiMjGTWrFkEBgby4IMPanboX1EUjh49SkJCAjU1NQB4eXmh1+s1edm8oih88cUXPPvss6SlpQHQu3dvYmNjGTBggMrVqUdRFJJPlLMtKZ9tyQXsyyym/K9l6U/R6SDcxxV9ezei27sR5Vd/83S2U6lqIcTpZJ2XFubU0P/69ev5888/6dq1q9olNQsFBQUYDAbLFTPOzs5ER0fj6+urcmXqMRqNREdHk5qaip+fHwsWLNBsuK01mdmVVsQPhly2xOdxvKS6wePOdtb0CGxDr6D6W/dAD9wctNsKQgg1yDovrdDZhv43btyo+fBSUVFBXFwcubm5QH3zxPDwcIKDgzV5kM7Ly8PT0xNbW1vs7OxYsWIFu3fvZsqUKbi4uKhdXpOqqKljW1I+P8blsSU+z9KpGMDexoo+IZ5cE+5N/05tifR1k9M+QrQgMvLSzMnQ/9nV1tZamieazWZ0Oh3BwcGEh4djZ6e9of3q6mpeeuklXnzxRebPn89TTz2ldkmqqKkz8UvCCT7fl83WpPwGi6e1dbbjxuh2/Effjis7eeFgq71J20I0ZzLy0orcddddfP755wC0b9+eBQsW8MADD2hyVAHqw1xmZiaJiYkYjfWN3Xx8fNDr9ZobWYD69+Pzzz/n2WefJT09HYBvv/1WU+FFURQOZ5fw8Z9H+eZgDiVVtZbHAj2dGKxvx3/0vvQMbCOjK0K0Ek0SXlavXs2SJUvIzc2lW7durFy5kj59+px129dff5133nmHI0eOAPULZ82fP/+c27d211xzDRs3buTZZ59l8uTJmjxAn5Kfn4/BYLCcNnN1dUWv1+Pt7a1yZerYv38/EyZMYOvWrUB9uF24cCEjRoxQubKmcbLSyJf7s9mw5ygJuWWW+33dHLi1R3tu7eZPlJ+rrIEiRCvU6KeNPvroI0aOHMnatWvp27cvsbGxfPLJJyQmJuLj43PG9iNGjGDAgAFceeWVODg4sGjRIr744gsMBsN5LSrWkk8bVVdXExsbS9euXRk6dChQf3okNzeXgIAAlatTT3l5OQaDgRMnTgBgZ2dHREQEQUFBmj0wxcbGEhMTg6IoODg4aCbcms0KO9MK+WjPUTYZcjH+dVrIzsaKm/S+3N27A1d28pIRFiFaoGbVVbpv375cccUVrFq1CgCz2UxAQADjxo1j6tSp//p8k8lEmzZtWLVqFSNHjvzX7VtiePn70H9oaCgGg0GTczdOZzQaLfNaFEVBp9MREhJCeHg4trbavhLk4MGD9OzZk3vvvZcFCxYQGBiodkmNqqy6lk/3HuOdnZmkF1RY7o/yc+PeKwK4tXt7PJy0/fMiREvXbOa8GI1G9u7dy7Rp0yz3WVlZMWjQIHbu3Hler1FZWUltbS2enp6NVaaq9u3bx4QJE9i2bRtQ3yRw1qxZmuxsfIrZbCYjI4OkpCRqa+vnL/j6+hIdHa3JVgenwm1KSgpTpkwBoFu3bqSkpBASEqJydY0rLb+cd3Zm8smfR6kw1jfSdLW34dYe7RneO5DO/m6aHX0TQssa9QhZUFCAyWSyNAU8pV27diQkJJzXa0yZMoX27dszaNCgsz5eU1NjWZAMsKzz0dzl5uYyffp01q1bh6IoODo6MnnyZJ599llNHqBPycvLIy4ujvLycgDc3NzQ6/V4eXmpXJk6Tg+3NjY23HrrrURGRgK02uBiNitsS85n/Y4Mfk3Mt9wf6uPC6CuDub2HP8722g33QohmfrXRwoUL2bBhA7/++isODg5n3WbBggXMmTOniSu7dPv37+ett94C4P7772fhwoWantdSVlaGwWAgP7/+YGVvb09kZCQBAQGa/Ms6JyeH559//oxw25q/R8pr6vhs7zHe3pFB2l+nhnQ6uCHSh9FXhjAgtK0mvxeEEGdq1PDi5eWFtbU1eXl5De7Py8v715VPly5dysKFC/npp5/+cSG2adOmERMTY/m8tLS0Wf6CVxSF1NRUQkNDARgyZAjPPvsst99+O/3791e5OvUYjUYSEhLIyspCURSsrKzo2LEjYWFhmjx1Vl1dzYoVK5g/f75l9GnEiBEsWLCgWX5fXypFUTh4rIRP/jzK1weOU/bXMv2u9jbcc0UAI/sHEdRWuyORQoiza9Sjg52dHb169WLLli3cdtttQP18hi1btvzjOhSLFy/mxRdf5IcffqB3797/uA97e/tm32xv7969TJgwgUOHDpGcnGy5tHfx4sUqV6Yes9lMeno6SUlJ1NXVH7D8/PyIjo7GyclJ5erUU1JSwoIFCygvL7dcndevXz+1y7qsFEUh5UQ5P8bl8eX+bJJPlFse6+jtzENXBnN7zw64yKkhIcQ5NPpvh5iYGEaNGkXv3r3p06cPsbGxVFRU8NBDDwEwcuRI/P39WbBgAQCLFi1i5syZfPDBBwQHB1uWfXdxcWlxl4Hm5OQwffp01q9fbxn63717NzfffLPapakqJyeHuLg4KivrO/e6u7uj1+tp27atypWpIzk5mbCwMKB+PtiyZctwcnLivvvuazWLEVYa69idXsT25AJ+is8jo/D/uzbb21gxpLMvd/cOoH/HtljJZc5CiH/R6OFl+PDh5OfnM3PmTHJzc+nevTubNm2yTOLNyspq8Av6lVdewWg0ctdddzV4nVmzZjF79uzGLveyqKqqsgz9V1TUn7t/4IEHWLBgAR06dFC5OvWUlJRw5MgRioqKAHBwcCAyMpIOHTpoci7D6eH2+++/Z/DgwQA8+uijKld2aUxmhbT8co4cL8GQXcqhYyXsP1pMren/V2Wws7biytC2DNb7cnNXP2mCKIS4INLb6DKrrq6mc+fOpKamAtCvXz9iY2Pp27dvk9fSXFRXVxMfH8+xY8cAsLa2plOnTnTq1EmT81qqqqpYvnw5CxYssITbGTNmMHfuXJUruzBms0JuaTXpBRWkFVSQmFuK4Xgp8TmlVNeaz9je38ORgaFeXBPhzdXh3nJaSAjRQLNZ50WLHBwcGDJkCF9++SWLFi3ivvvu0+SoAtQvMJiamkpKSgomU/0aHR06dCAyMhJHR0eVq2t6iqLwySefMHnyZDIzM4HmHW6ra03kl9VwoqyG/LJq8stqyC2tJqOgkrSCCjIKKqiqNZ31uU521kT7uaFv74a+vTt9O3oS6Omk2Z8FIcTlJSMvl+j48eNMnz6dmJgYunTpYqnBxsZGsxNPFUUhOzub+Ph4qqurAfD09ESv1+Ph4aFucSp68MEHee+994D6ELd48WLuvffeJj+gm8wKhRU15JXUh5Hc0mrySv76WFpNbkk1J8pqGjQ4PBcbKx2Bnk6EeDkT6uOC3t8dfXs3gts6yxL9QogLIiMvTaCqqoply5axcOFCKioqOHbsGJs3bwZoMW0JGkNRUREGg4GTJ08C4OTkRFRUFO3bt1e3sGbg9ttv5/PPP2fKlClMmjSp0cKtoigUVRjJKqokq6iSzML6W1ZRBceKq8gvq6HOfH5/s9hZW+Htao+3qz0+rvb4uNkT3NaZEC9nOnq70KGNI7bWrWNSsRCi5ZDwcoEUReHjjz9m8uTJZGVlAfVD//PmzVO5MnVVVlYSFxdHTk4OADY2NoSFhdGxY8dWc8XMhTgVbv38/Hj44YeB+vCSlpZ2xorTl6KowkhibhlJeWUk/PUxKa+Msuq6f3yelQ68Xe1p5+ZAOzcHfN0c8HV3wMfVHl/3+vt8XO1xd7SVUz1CiGZHwssF+PPPP3nmmWfYsWMHAAEBASxatEiVof/mora2luTkZNLT0zGbzeh0OgIDA4mIiGj26+80hr+H27Zt23LnnXfi4eGBTqe76OBSaawjOa+cxNwyEvPKLB/zy2rO+Rw/dwcCPZ0I9HQiqK0TgW2dCWjjiJ+7I14udtjIiIkQooWS8HIBtm/fzo4dO3BycmLq1KlMnDhR0/NasrKySEhIwGg0AuDt7U10dLRmT5vt2bOH8ePHNwi3ixcvxt3d/YJep7rWxKFjJezNLGZ/VjEJuWUcLa7kXLPTAjwdiWjnRoSvCxG+boS3cyG4rTMOttaX+iUJIUSzJOHlAowdO5bs7GyeeeYZTa/Xkp+fj8FgoKysDKhfQDA6Ovqyng5pSY4fP860adN45513AC443JrNCnE5pWxNymdrUj77sxquiXKKl4t9fUD5K6iEt3MlvJ2rNCkUQmiOXG0kzlt5eTkGg4ETJ04AYGtrS0REBEFBQZqc13LK/v376dWrF4qiMHLkSObPn4+/v/8/PqegvIbfkvPZmpjPb8kFFFYYGzzu7WpP76A29ApqQ3R7NyLaudLWRXun4YQQ2iFXG4nLymg0kpiYSGZmJoqioNPpCAkJITw8HFtb7a2MqigKBw4coEePHgD06NGDxYsXc80113DFFVec83kVNXX8YMjli/3Z/J5SwOkX/DjbWdO/018LuIV5yZooQgjxDyS8iHM61TwxOTmZ2tr6NT98fX2Jjo7G2VmbnX53797N+PHj2bNnDwaDgfDwcAAmTZp0zuccyS7h3Z2ZfH3weINF3aL93Lgmwptrwr3pGdgGOxvtjl4JIcSFkPAizio3N5e4uDjL8vVubm7o9Xq8vLxUrkwd2dnZTJs2jXfffReon9dy8OBBS3j5u+paExsP5/DuH5nszzppub+jlzO3dvfn1u7tCfbSZgAUQohLJeFFNFBSUoLBYKCwsBAAe3t7IiMjCQgI0ORpjMrKSpYuXcqiRYssXbBHjRrF/Pnzz7rw3tGiSt7blcnHe45SXFk/WmVrrWNoFz8e6BdE76A2mnwfhRDicpLwIoD65okJCQkcPXoUACsrKzp16kRoaKgmmydCfW+mK664gri4OAAGDBjAihUrzjqv5cDRk7y+LY3vj+RY5rK0d3dgRL8g7ukdgLerTLYVQojLRZtHJWFxtuaJ/v7+REVFabJ54umsra158MEHeeWVV1i8eDH33HNPg1ETRVH4PaWQl7ckszujyHL/VWFejOwfzPWRPtLfRwghGoFcKq1RZ2ue2KZNG/R6PW3atFG5OnUcO3aMadOmMWrUKAYNGgRATU0NZrP5jCC3M7WQFZuTLKHF1lrHrd39eeSqECJ95ftOCCEulFwqLf5RcXExR44csTRPdHR0JCoq6l/XJmmtKisrWbJkCYsWLaKqqopDhw5x4MABdDrdGS0OdqcXsWJzEjvT6ucE2dlYcX+fQB6/phO+7g5qlC+EEJoj4UVDqqqqiI+PJzs7G6hvnhgaGkrHjh2xttbeUvJms5kPP/yQqVOncuzYMQAGDhxIbGzsGZNqDx8rYdGmBLanFAD13Zbv7RPAk9eGSmgRQogmJuFFA+rq6khJSSE1NRWz2QxgaZ7o4KDNA++ff/7JU089xa5duwAICgpiyZIl3HXXXQ2CS5XRxIqfknjjtzTMSv3pobt7BzD2ulD8PbQ9J0gIIdQi4aUVUxSFY8eOkZCQYJnX0rZtW/R6/QU3C2xtMjIy2LVrF87OzkyfPp0JEyacEeR2pRUy5bNDZBTWXyL9327teXZwBAGe2mzGKYQQzYWEl1aqsLAQg8FASUkJUL+oml6vx9fXV+XK1FFRUUFcXJzlMuc777yT+fPnM3r0aPz8/BpsazYrrP4lheU/JaEo4OvmwPw7OnN9pDYbTwohRHMjVxu1MpWVlcTFxZGTkwPUz2sJDw8nJCREk80TzWYzH3zwAVOnTqWmpobk5GQ8PDzOuX1JZS0xHx9gS0J988m7enVg5rBo3By018NJCCGaklxtpEF1dXUkJyeTlpaG2WxGp9NZ5rX8/YoZrdi5cyfjx49n9+7dAAQHB5Oenm5pqPh3ibllPPrOn2QVVWJnY8W8WztzzxUBTVmyEEKI8yDhpYVTFIWjR4+SkJBATU0NAN7e3kRHR2ty5AkgKyuLqVOn8uGHHwLg4uLC9OnTGT9+/DknKP+aeIKnPthPeU0dAZ6OvDKiF539tT0vSAghmisJLy1YQUEBBoOB0tJSAJydndHr9bRrp925GSdOnCAqKorKykp0Oh1jxoxh3rx5/zjX5+0dGcz5xoBZgb4hnqx9oBdtnO2asGohhBAXQsJLC3Rq8mlubi4Atra2hIeHExwcrMl5Lafz8fFh+PDhpKamsmLFCnr27HnObc1mhRc3xvPm9nQA7u7VgRdv74KdjbbfQyGEaO4kvLQgtbW1JCUlkZGRYZnXEhwcTHh4OHZ22hwp2LFjB5MnT2bdunWEhYUBsHr1ahwcHP6xe3OdyczUzw/z6d76xemm3BTJ49d0lI7PQgjRAkh4aQEURSEzM5PExESMRiNQP8Kg1+txcXFRuTp1ZGZmMnXqVDZs2ADAjBkzLP/+t4aSNXUmnvnwAJsMuVhb6Vh8Z1fu7NWh0WsWQghxeUh4aeZOnDiBwWCgvLwcAFdXV6Kjo/Hx8VG5MnWUl5ezaNEili5dSnV1dYN5LeejutbEY+/uZVtSPnbWVqy8vweD9dpc+0YIIVoqCS/NVFlZGQaDgfz8fADs7OyIiIggKChIs6c2NmzYwMSJEzl+/DgA11xzDStWrDjnpc9/V11r4tF3/uS35AKc7Kx5fWRvBoR6NWbJQgghGoGEl2ampqaGxMREsrKyUBQFKysrQkJCCAsLw9ZW2wulpaamcvz4cUJCQli6dCm33377eQe56loT/3t3L78lF+Boa8260VfQt2PbRq5YCCFEY5Dw0kyYzWbS0tJITk6mrq4OAD8/P6KionB2dla5OnVkZmZSXFxM9+7dAYiJicHV1ZXHHnvsghpKVhrrePL9fWxNyq8PLg9JcBFCiJZM2gM0Azk5OcTFxVFZWd8A0N3dHb1eT9u22jzAlpeXs3DhQpYuXUpERAT79u3D2tr6ol7rRGk1D7/9J4ezS3CwtWLd6D7076TN91UIIZozaQ/QQpw8eRKDwUBRUREADg4OREZG0qFDB03OazGbzbz77rtMmzbN0pupTZs2FBYWXtQE5YTcUsas28PxkmraONny+sje9A72vNxlCyGEaGISXlRQXV1NfHw8x47VrzFibW1Np06dCA0NvegRhpZu+/btjB8/nr179wLQsWNHli5dym233XbBQU5RFL4+eJzpXxyhvKaOjl7OvDX6CoK9tHn6TQghWhsJL03IZDKRkpJCamoqJpMJgA4dOhAZGfmva5O0Zjt27OCqq64C6i8FnzFjBk8//fRFNZQ8UVbN818c4ce4PAD6hHjy2oO98HDS5iJ+QgjRGkl4aQKKonDs2DESEhKorq4GwNPTE71ej4eHh7rFqURRFMuISv/+/bn66quJjIxk7ty5F9WbqdZk5tO9x1i0KYGTlbXYWOkYd30YT17XCVtrWe5fCCFaEwkvjaywsBCDwUBJSQkATk5OREVF0b59e5UrU4fZbOadd94hNjaWrVu34u7ujk6n46effrqoS8FNZoWvD2YT+1MymYX1E5717d1Yclc3otu3jAnbQgghLoyEl0ZSUVFBfHy8ZeKpjY0NYWFhdOzYUbPNE3/77TfGjx/Pvn37AFi1ahXTp08HuODgkn2yii/2HeOTvccsoaWtsx1PXhfKyP5BMtoihBCtmISXy6y2tpbk5GTS09MtzRMDAwOJiIi4qDkcrUFGRgaTJ0/mk08+AcDNzY0ZM2Ywbty4834Nk1kh7ngp21MK2Jp0gl3pRZy6yN/NwYb/XdOJ0VcG42wv39JCCNHayW/6y+RszRO9vb2Jjo5uMevNXC5ms4JZUagzm5k1cyYvrVhOTU0NVlZWPDh6DM9On0Hbtj4UVJkxV1RiMiuYFAWzWaG61kxpdS2lVbWcKKsh+UQZyXnlJOSWUVJV22A//Tp6cnevAG7q7CuhRQghNER+418GJ06cIC4ujrKyMgBcXFyIjo6+qImnjUlRFI4VV5FeUEFmUSVZhRXkldZQXGmkuNJIeXXdXyGifnuzovx1A0Wpf/7/f66gKPXbnHqOSVEwmRuueVjw3W5qampwCOpKm+sf5VfvEH597fBF1e9ib0O/jm0ZGNqWG6LaEeDpdKlviRBCiBaoScLL6tWrWbJkCbm5uXTr1o2VK1fSp0+fc27/ySefMGPGDDIyMggLC2PRokUMHTq0KUq9IGVlZcTFxXHixAmgft7GqeaJas9rqTTWkZBbRkJOGfE5pcTnlJKQW0Z5TV2j7rf66BGsXb2w9ajv1Oxx9UicwvvjGNrXcnWRTgfWOh1WVjqsdTqsrXRY6cDaSoe9jTXujra4Otjg6WxHqI8LYe1cCPNxJcLXVeayCCGEaPzw8tFHHxETE8PatWvp27cvsbGxDB48mMTExLOumrpjxw7uu+8+FixYwC233MIHH3zAbbfdxr59++jcuXNjl3tejEYjiYmJZGZmWponBgcHEx4e3uTNE2tNZtILKkjMLSMpr4zE3DIS88rIKqrkbI0f7KytCGrrRFBbJwI9nfFzd8DT2Y42zra4OdhiZaXDSlcfJqz+ChtWOh1WVvUfdYDutMd1f33MPprJi7Om8+1XX3DzsFt5b/nHfwsn/x9StLh6sBBCiMun0Xsb9e3blyuuuIJVq1YB9ZfKBgQEMG7cOKZOnXrG9sOHD6eiooJvv/3Wcl+/fv3o3r07a9eu/df9NWZvI7PZTHp6OsnJydTW1s+/8PX1JTo6+pKaJ5rNCjV1Zox1ZmrqTNTUmakw1lFWXUd5dR2l1bX1/66po6SqlhOlNZwoqya3pJqMwgpqTWf/L/R2tSfKz40oP1ei/dyI9HWjo7fzZR29KCsrY/78+Sxfvhyj0YiVlRWPPfYYK1euxMZGzkoKIYQ4P82mt5HRaGTv3r1MmzbNcp+VlRWDBg1i586dZ33Ozp07iYmJaXDf4MGD+fLLL8+6fU1NDTU1NZbPS0tLL73ws9j0ZxIT136NyVi/yJyVvRMOPkHYOJXAjztR4K+Rjvq5IKfihKIolsdO/bv+gfr5IkaT+Zzh43w521kT7utKRLv6UysR7VwJ93XFy6Xxrm4ymUysX7+e6dOnk5dXv5rtDTfcwIoVK+jSpUuj7VcIIYRo1PBSUFCAyWQ6Y+Jqu3btSEhIOOtzcnNzz7p9bm7uWbdfsGABc+bMuTwF/wOjSSH/ZCk6a1ts23bA2tWbSpMOymr+/ckXwEoHdjZWONvZ4Opgg4uDDa72tpZ/uznY4u1qTzs3B3xc7QnxcqZDG8cmPxXz2muv8eSTTwIQFhbGsmXLuOWWW+SUkBBCiEbX4sf1p02b1mCkprS0lICAgMu+n2u7deT9Kffi5d0OGxsbTh2jdTqonwny17//+rz+4/9vw2n36SxzScDexho7Gyvsbayws7HCxkrXbAOAyWSyNI4cPXo0a9euZfTo0YwdOxY7O+kdJIQQomk0anjx8vLC2traclrhlLy8PHx9fc/6HF9f3wva3t7evkkWf3NzsOXGK6IbfT/NUWlpKfPnz+eXX35hx44dWFtb4+joyP79+1W/qkoIIYT2NOqRx87Ojl69erFlyxbLfWazmS1bttC/f/+zPqd///4NtgfYvHnzObcXjcdkMvHGG29YLlffvXs3GzdutDwuwUUIIYQaGv3oExMTw+uvv87bb79NfPz/tXfnQU3e+R/A3wlQDiUEhOhSj9FKvahS8XY7o1U56k137VrrQdFqpa1XteJR7Li7zlpkK23H2q316ri1bMWtFy4InnWtUKJABUV0VRTRhquoEMjn94c/smY5xJqQBN+vmWfG5PvleT5vh4RPvs+T5BzefPNNVFRUIDw8HAAwbdo0kwt6582bh8TERKxbtw45OTlYtWoV0tLS8NZbb1m6VHrA4cOHERgYiFmzZqGoqAjPPvss9uzZgzFjxli7NCIiesJZ/JqXV155Bbdu3cL777+PwsJCBAQEIDEx0XhR7pUrV0xewQ8ZMgQ7duzAihUrsGzZMvj5+WH37t028xkvLV15eTmmT5+OhIQEAIBarUZ0dDTmzp3L61qIiMgmWPxzXpqbJT/n5UkgIhg6dCh++OEHzJkzB6tWrYK3t7e1yyIiohbOZj7nhWxfTU0Ntm7dit/97ndQqVRQKBT4/PPPoVAo0KtXL2uXR0REVAevuHyCpaamom/fvoiIiMCaNWuM9/v7+7NxISIim8Xm5Ql08eJFhIWF4cUXX8TZs2ehVqst8tk4RERElsDm5QlSWlqKJUuWoEePHkhISICDgwMiIyORl5dn/LRcIiIiW8drXp4gUVFR2LBhAwAgKCgIsbGxPD1ERER2hysvLVxVVZXx38uWLUPfvn2xb98+JCYmsnEhIiK7xJWXFiovLw+LFy+Go6Mj4uPjAQDt27dHWlqazX53EhERUVOweWlhSktL8cc//hHr16+HXq+Hg4MD8vPz0aVLFwBg40JERHaPp41aiOrqamzcuBF+fn6IiYmBXq9HSEgIzp49a2xciIiIWgKuvLQAeXl5CAsLQ2ZmJgCge/fuiI2NRWhoqJUrIyIiMj+uvLQAvr6+KC4uhqenJ+Li4nD27Fk2LkRE1GKxebFDJSUliImJQU1NDQDAzc0Nu3btQl5eHt5++204OTlZuUIiIiLL4WkjO1JdXY0vvvgCK1euxO3bt9GmTRuEh4cDAPr372/l6oiIiJoHmxc7kZycjAULFiArKwsA0KNHD3Tq1MnKVRERETU/njaycefPn8e4ceMwatQoZGVlwcvLC5988gnOnDmDF1980drlERERNTuuvNi4mTNn4tixY3B0dERkZCSio6Ph6elp7bKIiIishisvNqa6uhr37t0z3l67di1Gjx6NzMxMfPTRR2xciIjoicfmxYb861//QkBAAFavXm28b9CgQdi7dy+6d+9uxcqIiIhsB5sXG5Cbm4uxY8ciODgY2dnZ2Lp1q8nqCxEREf0XmxcrKi4uxoIFC+Dv74+9e/fC0dER8+fPR2ZmJlxcXKxdHhERkU3iBbtWkpSUhD/84Q/Q6XQAgDFjxiAmJgbdunWzcmVERES2jc2LlXTv3h13795Fr169EBsbi6CgIGuXREREZBd42qiZ5OTk4MMPPzTe7tChA44cOQKtVsvGhYiI6BGwebEwnU6HefPm4bnnnsOSJUtw/Phx41j//v3h6MjFLyIiokfBv5wWotfrsXHjRkRHRxuvaxk3bhzatWtn5cqIiIjsG5sXC0hMTMTChQtx7tw5AIC/vz9iY2MxatQoK1dGRERk/9i8mNm9e/cQERGB69evw9vbG6tXr8bMmTN5eoiIiMhM+BfVDIqLi+Hh4QGlUgkXFxfExMQgLS0NK1euhFqttnZ5RERELQov2H0Mer0ecXFxeOaZZ7B9+3bj/ZMnT8a6devYuBAREVkAm5df6cCBA+jduzfmzZuH4uJi7Nixw9olERERPRHYvDyin376CaGhoXjppZeQk5MDb29vbNiwAfv27bN2aURERE8EXvPyCOLi4rBw4ULU1NTAyckJ77zzDlasWMHTQ0RERM2Izcsj6NevH2pqajB+/Hh8+OGH8PPzs3ZJRERETxw2L49gyJAhyMzMhL+/v7VLISIiemLxmpdHxMaFiIjIuti8EBERkV1h80JERER2hc0LERER2RU2L0RERGRX2LwQERGRXbFY86LT6TBlyhSoVCqo1WpERETgl19+aXT+22+/jW7dusHV1RUdO3bEO++8g9LSUkuVSERERHbIYs3LlClTkJ2djaSkJOzduxdHjx7FG2+80eD869ev4/r164iJiUFWVha2bNmCxMREREREWKpEIiIiskMKERFz7/TcuXPo2bMnTp8+jX79+gEAEhMT8dJLL+HatWvw9fVt0n7i4+Px2muvoaKiAo6OTfs8vbKyMnh4eKC0tBQqlepXZyAiIqLm8yh/vy2y8nLy5Emo1Wpj4wIAI0eOhFKpxKlTp5q8n9oATW1ciIiIqOWzSFdQWFgIjUZjeiBHR3h5eaGwsLBJ+7h9+zZWr17d6KkmAKisrERlZaXxdllZ2aMXTERERHbjkVZeli5dCoVC0eiWk5Pz2EWVlZVh9OjR6NmzJ1atWtXo3DVr1sDDw8O4dejQ4bGPT0RERLbrkVZeFi1ahBkzZjQ6p0uXLmjXrh2KiopM7q+uroZOp0O7du0a/fny8nKEhITA3d0dCQkJcHJyanR+VFQUFi5caLxdVlbGBoaIiKgFe6TmxcfHBz4+Pg+dN3jwYJSUlCA9PR2BgYEAgJSUFBgMBgwcOLDBnysrK0NwcDCcnZ3x3XffwcXF5aHHcnZ2hrOzc9NDEBERkV2zyLuNACA0NBQ3b97EZ599Br1ej/DwcPTr1w87duwAABQUFGDEiBHYtm0bBgwYgLKyMgQFBeHOnTtISEhAq1atjPvy8fGBg4NDk45bWloKtVqNq1ev8t1GREREdqL2zElJSQk8PDwanywW8vPPP8vkyZOldevWolKpJDw8XMrLy43jly5dEgCSmpoqIiKpqakCoN7t0qVLTT7u1atXG9wPN27cuHHjxs22t6tXrz70b73FVl6sxWAw4Pr163B3d4dCobB2OQ2q7TBb0gpRS8vEPLatpeUBWl4m5rF9tpRJRFBeXg5fX18olY2/n6jFfYCKUqlE+/btrV1Gk6lUKqv/wphbS8vEPLatpeUBWl4m5rF9tpLpoaeL/h+/mJGIiIjsCpsXIiIisitsXqzE2dkZ0dHRLept3i0tE/PYtpaWB2h5mZjH9tlrphZ3wS4RERG1bFx5ISIiIrvC5oWIiIjsCpsXIiIisitsXoiIiMiusHl5DEePHsXYsWPh6+sLhUKB3bt3m4zfvHkTM2bMgK+vL9zc3BASEoILFy4Yxy9fvgyFQlHvFh8fDwA4c+YMJk+ejA4dOsDV1RU9evTA+vXr7TpTrS1btqB3795wcXGBRqNBZGSkzeUBgMLCQkydOhXt2rVDq1at0LdvX3z77bcmc3Q6HaZMmQKVSgW1Wo2IiAj88ssvdpunVmVlJQICAqBQKKDVau02z/nz5zF+/Hh4e3tDpVLht7/9LVJTU82ex1yZLl68iIkTJ8LHxwcqlQqTJk3CzZs3jeOXL19GREQEOnfuDFdXVzzzzDOIjo5GVVWVXeaptW/fPgwcOBCurq7w9PTEhAkTzJ5nzZo16N+/P9zd3aHRaDBhwgTk5uaazLl37x4iIyPRpk0btG7dGi+//HKdeq9cuYLRo0fDzc0NGo0GixcvRnV1tcmcw4cPo2/fvnB2dkbXrl2xZcsWu85T68SJE3B0dERAQIDZ8zQVm5fHUFFRgT59+uDTTz+tMyYimDBhAvLz8/HPf/4TGRkZ6NSpE0aOHImKigoAQIcOHXDjxg2T7YMPPkDr1q0RGhoKAEhPT4dGo8FXX32F7OxsLF++HFFRUfjkk0/sNhMAxMbGYvny5Vi6dCmys7ORnJyM4OBgm8sDANOmTUNubi6+++47ZGZmIiwsDJMmTUJGRoZxzpQpU5CdnY2kpCTs3bsXR48exRtvvGG3eWotWbIEvr6+Zs/R3HnGjBmD6upqpKSkID09HX369MGYMWNQWFhoc5kqKioQFBQEhUKBlJQUnDhxAlVVVRg7diwMBgMAICcnBwaDARs3bkR2djb++te/4rPPPsOyZcvsMg8AfPvtt5g6dSrCw8Nx5swZnDhxAq+++qrZ8xw5cgSRkZH497//jaSkJOj1egQFBZn8Ti1YsAB79uxBfHw8jhw5guvXryMsLMw4XlNTg9GjR6Oqqgrff/89tm7dii1btuD99983zrl06RJGjx6N4cOHQ6vVYv78+Zg5cyYOHjxol3lqlZSUYNq0aRgxYoRZczyyJn/jITUKgCQkJBhv5+bmCgDJysoy3ldTUyM+Pj7yt7/9rcH9BAQEyOuvv97osebOnSvDhw9/7JofxlKZdDqduLq6SnJyskXqbsivzdOqVSvZtm2byb68vLyMc3766ScBIKdPnzaOHzhwQBQKhRQUFFgojeXy1Nq/f790795dsrOzBYBkZGRYJEctS+W5deuWAJCjR48ax8vKygSAJCUlWSjNfb8m08GDB0WpVEppaalxTklJiSgUikbrXbt2rXTu3Nn8IR5gqTx6vV6efvpp+eKLLyxaf32KiooEgBw5csRYm5OTk8THxxvnnDt3TgDIyZMnReT+Y0OpVEphYaFxzoYNG0SlUkllZaWIiCxZskR69eplcqxXXnlFgoOD7TLPgxlWrFgh0dHR0qdPH4tmaQxXXiyksrISAODi4mK8T6lUwtnZGcePH6/3Z9LT06HVahEREdHovktLS+Hl5WW+YpvIXJmSkpJgMBhQUFCAHj16oH379pg0aRKuXr1q2QD/o6l5hgwZgp07d0Kn08FgMODrr7/GvXv3MGzYMADAyZMnoVar0a9fP+PPjBw5EkqlEqdOnWqeMDBfHuD+qYBZs2Zh+/btcHNza7YMDzJXnjZt2qBbt27Ytm0bKioqUF1djY0bN0Kj0SAwMNDmMlVWVkKhUJh8aJiLiwuUSmWDjzPAOs8L5srz448/oqCgAEqlEs8//zx+85vfIDQ0FFlZWRbPUFpaCgDG/7v09HTo9XqMHDnSOKd79+7o2LEjTp48CeD+Y/65555D27ZtjXOCg4NRVlaG7Oxs45wH91E7p3Yf9pYHADZv3oz8/HxER0dbNENTsHmxkNpfjqioKBQXF6Oqqgp/+ctfcO3aNdy4caPen9m0aRN69OiBIUOGNLjf77//Hjt37rTIKYmHMVem/Px8GAwG/PnPf8ZHH32Ef/zjH9DpdBg1apRFztk3pKl5vvnmG+j1erRp0wbOzs6YPXs2EhIS0LVrVwD3r7nQaDQm+3Z0dISXl5dFTktYOo+IYMaMGZgzZ45JQ9bczJVHoVAgOTkZGRkZcHd3h4uLC2JjY5GYmAhPT0+byzRo0CC0atUK7733Hu7cuYOKigq8++67qKmpafBxlpeXh48//hizZ89uzjhmy5Ofnw8AWLVqFVasWIG9e/fC09MTw4YNg06ns1j9BoMB8+fPx9ChQ+Hv7w/g/uP5qaeeglqtNpnbtm1b4+O5sLDQ5A997XjtWGNzysrKcPfuXUvEsWieCxcuYOnSpfjqq6/g6Gj973Rm82IhTk5O2LVrF86fPw8vLy+4ubkhNTUVoaGh9X7V9927d7Fjx45GV12ysrIwfvx4REdHIygoyJLl18tcmQwGA/R6PeLi4hAcHIxBgwbh73//Oy5cuGCxiyjr09Q8K1euRElJCZKTk5GWloaFCxdi0qRJyMzMbLZam8JceT7++GOUl5cjKirKWlEAmC+PiCAyMhIajQbHjh3DDz/8gAkTJmDs2LENNgPWzOTj44P4+Hjs2bMHrVu3hoeHB0pKStC3b996H2cFBQUICQnB73//e8yaNcsu89Re+7J8+XK8/PLLCAwMxObNm+u90N+cIiMjkZWVha+//tpix2hOlspTU1ODV199FR988AGeffZZs+77V7PaCasWBv9zLvhBJSUlUlRUJCIiAwYMkLlz59aZs23bNnFycjLO+1/Z2dmi0Whk2bJlZqv5YSyV6csvvxQAcvXqVZP7NRqNfP755+Ypvh6/Jk9eXl6dc/oiIiNGjJDZs2eLiMimTZtErVabjOv1enFwcJBdu3aZOcV/WSrP+PHjRalUioODg3EDIA4ODjJt2jS7y5OcnFznmgsRka5du8qaNWvMnMLU4z6Gbt26JcXFxSIi0rZtW1m7dq3JeEFBgfj5+cnUqVOlpqbGrLXXx1J5UlJSBIAcO3bMZP6AAQMs9pwXGRkp7du3l/z8fJP7Dx06JACMddbq2LGjxMbGiojIypUr61zvkZ+fLwDkxx9/FBGRF154QebNm2cy58svvxSVSmXWHLUsmae4uNj4HFC7KRQK432HDh2ySKbGcOWlGXh4eMDHxwcXLlxAWloaxo8fX2fOpk2bMG7cOPj4+NQZy87OxvDhwzF9+nT86U9/ao6SH+pxMg0dOhQATN7Op9PpcPv2bXTq1MmyhTegoTx37twBgDqveB0cHIyvFgcPHoySkhKkp6cbx1NSUmAwGDBw4MBmSmDqcfLExcXhzJkz0Gq10Gq12L9/PwBg586dVvv9e5w8Dc1RKpUm73Zpbk15DHl7e0OtViMlJQVFRUUYN26ccaygoADDhg0zrlLUtyrTnB4nT2BgIJydnU2eE/R6PS5fvmz25wQRwVtvvYWEhASkpKSgc+fOJuOBgYFwcnLCoUOHjPfl5ubiypUrGDx4MID7j/nMzEwUFRUZ5yQlJUGlUqFnz57GOQ/uo3ZO7T7sKY9KpUJmZqbxOUGr1WLOnDno1q0btFqtdZ7nmr1dakHKy8slIyNDMjIyBIDExsZKRkaG/Oc//xERkW+++UZSU1Pl4sWLsnv3bunUqZOEhYXV2c+FCxdEoVDIgQMH6oxlZmaKj4+PvPbaa3Ljxg3j1tAKjT1kErn/6r5Xr15y4sQJyczMlDFjxkjPnj2lqqrKpvJUVVVJ165d5YUXXpBTp05JXl6exMTEiEKhkH379hnnhYSEyPPPPy+nTp2S48ePi5+fn0yePNmsWZozz4MuXbpksXcbNUeeW7duSZs2bSQsLEy0Wq3k5ubKu+++K05OTqLVam0uk8j9V+gnT56UvLw82b59u3h5ecnChQuN49euXZOuXbvKiBEj5Nq1aybPDfaYR0Rk3rx58vTTT8vBgwclJydHIiIiRKPRiE6nM2ueN998Uzw8POTw4cMm/2937twxzpkzZ4507NhRUlJSJC0tTQYPHiyDBw82jldXV4u/v78EBQWJVquVxMRE8fHxkaioKOOc/Px8cXNzk8WLF8u5c+fk008/FQcHB0lMTLTLPP/L2u82YvPyGFJTUwVAnW369OkiIrJ+/Xpp3769ODk5SceOHWXFihV13nYmIhIVFSUdOnSod9k3Ojq63mN06tTJbjOJiJSWlsrrr78uarVavLy8ZOLEiXLlyhWbzHP+/HkJCwsTjUYjbm5u0rt37zpvzf35559l8uTJ0rp1a1GpVBIeHi7l5eV2m+dBlmxemivP6dOnJSgoSLy8vMTd3V0GDRok+/fvN3sec2V67733pG3btuLk5CR+fn6ybt06MRgMxvHNmzfXewxLvB5tjjwi9xvRRYsWiUajEXd3dxk5cmSd04Hm0ND/2+bNm41z7t69K3PnzhVPT09xc3OTiRMn1mkML1++LKGhoeLq6ire3t6yaNEi0ev1JnNSU1MlICBAnnrqKenSpYvJMewxz4Os3bwoREQec/GGiIiIqNnwmhciIiKyK2xeiIiIyK6weSEiIiK7wuaFiIiI7AqbFyIiIrIrbF6IiIjIrrB5ISIiIrvC5oWIiIjsCpsXIiIisitsXoiIiMiusHkhIiIiu8LmhYiIiOzK/wHuYC0eMu8nmgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot_cusum_squares()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 3: Linear restrictions and formulas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear restrictions\n", "\n", "It is not hard to implement linear restrictions, using the `constraints` parameter in constructing the model." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:16.222584Z", "iopub.status.busy": "2023-12-14T14:41:16.217853Z", "iopub.status.idle": "2023-12-14T14:41:16.308316Z", "shell.execute_reply": "2023-12-14T14:41:16.307197Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -134.231\n", "Date: Thu, 14 Dec 2023 R-squared: 0.989\n", "Time: 14:41:16 AIC 276.462\n", "Sample: 01-01-1951 BIC 281.338\n", " - 01-01-1975 HQIC 277.814\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "const -4839.4836 2412.410 -2.006 0.045 -9567.721 -111.246\n", "COPPERPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INCOMEINDEX 1.115e+04 666.308 16.738 0.000 9847.000 1.25e+04\n", "ALUMPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INVENTORYINDEX 241.3452 2298.951 0.105 0.916 -4264.515 4747.206\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 6.27 Jarque-Bera (JB): 1.78\n", "Prob(Q): 0.01 Prob(JB): 0.41\n", "Heteroskedasticity (H): 1.75 Skew: -0.63\n", "Prob(H) (two-sided): 0.48 Kurtosis: 2.32\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] } ], "source": [ "endog = dta[\"WORLDCONSUMPTION\"]\n", "exog = sm.add_constant(\n", " dta[[\"COPPERPRICE\", \"INCOMEINDEX\", \"ALUMPRICE\", \"INVENTORYINDEX\"]]\n", ")\n", "\n", "mod = sm.RecursiveLS(endog, exog, constraints=\"COPPERPRICE = ALUMPRICE\")\n", "res = mod.fit()\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formula\n", "\n", "One could fit the same model using the class method `from_formula`." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:41:16.313259Z", "iopub.status.busy": "2023-12-14T14:41:16.311627Z", "iopub.status.idle": "2023-12-14T14:41:16.423326Z", "shell.execute_reply": "2023-12-14T14:41:16.422055Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -134.231\n", "Date: Thu, 14 Dec 2023 R-squared: 0.989\n", "Time: 14:41:16 AIC 276.462\n", "Sample: 01-01-1951 BIC 281.338\n", " - 01-01-1975 HQIC 277.814\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "Intercept -4839.4836 2412.410 -2.006 0.045 -9567.721 -111.246\n", "COPPERPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INCOMEINDEX 1.115e+04 666.308 16.738 0.000 9847.000 1.25e+04\n", "ALUMPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INVENTORYINDEX 241.3452 2298.951 0.105 0.916 -4264.515 4747.206\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 6.27 Jarque-Bera (JB): 1.78\n", "Prob(Q): 0.01 Prob(JB): 0.41\n", "Heteroskedasticity (H): 1.75 Skew: -0.63\n", "Prob(H) (two-sided): 0.48 Kurtosis: 2.32\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Parameters and covariance matrix estimates are RLS estimates conditional on the entire sample.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.13/x64/lib/python3.10/site-packages/statsmodels/tsa/base/tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency AS-JAN will be used.\n", " self._init_dates(dates, freq)\n" ] } ], "source": [ "mod = sm.RecursiveLS.from_formula(\n", " \"WORLDCONSUMPTION ~ COPPERPRICE + INCOMEINDEX + ALUMPRICE + INVENTORYINDEX\",\n", " dta,\n", " constraints=\"COPPERPRICE = ALUMPRICE\",\n", ")\n", "res = mod.fit()\n", "print(res.summary())" ] } ], "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }