{ "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": "2022-11-02T17:06:34.958165Z", "iopub.status.busy": "2022-11-02T17:06:34.955472Z", "iopub.status.idle": "2022-11-02T17:06:36.283803Z", "shell.execute_reply": "2022-11-02T17:06:36.283107Z" } }, "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": "2022-11-02T17:06:36.289165Z", "iopub.status.busy": "2022-11-02T17:06:36.288154Z", "iopub.status.idle": "2022-11-02T17:06:36.301122Z", "shell.execute_reply": "2022-11-02T17:06:36.300562Z" } }, "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": "2022-11-02T17:06:36.304555Z", "iopub.status.busy": "2022-11-02T17:06:36.304312Z", "iopub.status.idle": "2022-11-02T17:06:36.324339Z", "shell.execute_reply": "2022-11-02T17:06:36.323613Z" } }, "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: Wed, 02 Nov 2022 R-squared: 0.965\n", "Time: 17:06:36 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": "2022-11-02T17:06:36.328989Z", "iopub.status.busy": "2022-11-02T17:06:36.327890Z", "iopub.status.idle": "2022-11-02T17:06:37.512458Z", "shell.execute_reply": "2022-11-02T17:06:37.511838Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2.88890087 4.94795049 1558.41803044 1958.43326657\n", " -51474.95389825 -4168.95149564 -2252.61355052 -446.5591456\n", " -5288.39795594 -6942.31935565 -7846.08902726 -6643.15121671\n", " -6274.1101596 -7272.01696687 -6319.02648931 -5822.23929496\n", " -6256.30903085 -6737.40446361 -6477.42841937 -5995.9074752\n", " -6450.80678458 -6022.92167008 -5258.35153117 -5320.89136734\n", " -6562.37193956]\n" ] }, { "data": { "image/png": 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\n", 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EoJhttECjlEGnvrzeAB7btm3DpEmTxFZnk8lUZcIwpVIJp9NZ5ZiOHDkiXmSpjlwuR3JyMpKTkzFnzhwEBATg119/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=\n", "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": "2022-11-02T17:06:37.517979Z", "iopub.status.busy": "2022-11-02T17:06:37.516475Z", "iopub.status.idle": "2022-11-02T17:06:37.708755Z", "shell.execute_reply": "2022-11-02T17:06:37.708127Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.69971507 0.65841239 1.2462967 2.05476027 2.39888914 3.17861975\n", " 2.67244668 2.01783211 2.46131743 2.05268634 0.95054332 -1.04505551\n", " -2.5546529 -2.29908156 -1.45289497 -1.95353998 -1.35046625 0.15789824\n", " 0.63286526 -1.4818459 ]\n" ] }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:06:37.712876Z", "iopub.status.busy": "2022-11-02T17:06:37.712424Z", "iopub.status.idle": "2022-11-02T17:06:38.045147Z", "shell.execute_reply": "2022-11-02T17:06:38.044494Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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793PXXXcxYMAAfvvttyrHtWrVirS0NPVjx44dNRG+EEIIUecpisKhQ4dwc3Nj6tSp/P3336xfv54ePXpYXaHw1arR5Obee+9l9uzZPPDAA1d1fGxsLM888wy33HILTZs25dVXX6Vp06Z89dVXVY6zs7MjMDBQ/fD19a2J8MU1io+Px8vLq9rPe25DqXPS09O55557cHV1VZ/vamYGhRCivjtw4ACPP/44s2bNUsd69+7NO++8Q3JyMnFxcepeNQ1Zne4KbjKZKCgouKAx17FjxwgODqZx48YMGzaMpKSky56nrKyM/Pz8Kh/W5mou102fPh0fHx/CwsIuaDr5ySefMGDAgBuKYdCgQfz99983dI6L2bt3L+PHj1dv6/V60tLSOHDggPp8aWlp3HvvvdX+3EIIYWlGo5Evv/ySu+66i/bt27Nq1Srmz59PaWkpYP7jbty4cTXyx2V9VacLit98800KCwt59NFH1bEuXboQHx9P8+bNSUtLY9asWdx+++0cOnQId3f3i55n7ty5VbJca9WqVSu2bt2q3raz++fb+9VXX/HBBx/w7bffcuzYMUaPHk10dDS+vr7k5eXx3//+t8pjr4ezszPOzs43dI6L8fPzq3L7xIkTdOzYkaZNm6pjgYGB1f68QghhSYWFhaxcuZK4uDhOnDgBgK2tLY888gg6nU56x11OzffwNAOUzz///KqPX7NmjeLi4qJs2bLlssfl5OQoHh4eyrvvvnvJY0pLS5W8vDz1Izk52eq6gs+cOVNp27btJe9//fXXlUGDBqm3/f39lV9++UVRFEUZP368Mm/evKt6ngMHDih33nmn2i28Q4cOyt69exVFuXjH61deeUXx8/NT3NzclDFjxijPPvtslThHjhyp3H///cobb7yhBAYGKj4+PsrEiROV8vJy9Zjzu4pHRESoXWoBZeTIkYqiXPjzlZycrAwePFjx9vZWXFxclI4dOyq7d+9WFEVRjh8/rtx3332Kv7+/4urqqnTq1OmCn7OIiAhlzpw5yqhRoxQ3NzclLCxMWbp0aZVjLvcciqIo69evV9q3b684OjoqkZGRyksvvaRUVFRc1b/zjaivP8NCiKpiYmLU33VeXl7KM888oyQlJVk6LIu62q7gdXLmZu3atYwdO5ZPPvmEXr16XfZYLy8vmjVrxvHjxy95jKOjI46OjjcUU1FR0SXvs7W1rZJBX+5YGxubKrMblzrW1dX1mmM8d7nOycmJbt26MXfuXMLDwwFo27Yt77zzDjk5OZw8eZKSkhKioqLYsWMHv/76K4sXL76q5xg2bBjt27fn7bffxtbWlgMHDmBvb3/RY9esWcOcOXNYvHgx3bt3Z+3atbz11ltERkZWOe77778nKCiI77//nuPHjzNo0CDatWvHuHHjLjjn3r17GTFiBB4eHsTFxV10pqiwsJAePXoQEhLCl19+SWBgIL/++qu61XhhYSF9+/Zlzpw5ODo6snr1agYMGMDRo0fVfy+At956i1deeYX//Oc/fPrppzz55JP06NGD5s2bX/E5fvrpJ0aMGMH8+fO5/fbbOXHihHppbebMmVf1by2EaFh2796Nh4eHurnek08+yaZNm5gyZQojR47Ezc3NwhHWI7WUbF31zM0HH3ygODk5KevXr7+q8xYUFCje3t5KXFzcVcdyuczvUn/1ct5swb8/+vbtW+VYFxeXSx7bo0ePKsf6+vpe9Lhr9fXXXysff/yxcvDgQWXz5s1Kt27dlPDwcCU/P189ZubMmUqTJk2Um2++WVm3bp1SVlam3Hzzzcq+ffuUBQsWKM2aNVNuvfVW5dChQ5d8Hnd3dyU+Pv6i9/175qZLly7KpEmTqhzTvXv3C2ZuIiIilMrKSnXskUceqTLLdP7MjaIoyv3336/O2Jxz/s/X0qVLFXd3dyU7O/uSr+PfWrVqpSxYsKDKcz722GPqbZPJpPj7+ytvv/32VT1Hz549lVdffbXK2HvvvacEBQVddUzXS2ZuhKg/KioqlLVr1ypdunRRAOXRRx+tcr/JZLJQZHVTnZi5KSwsrDKjkpCQwIEDB/Dx8SE8PJwZM2aQkpLC6tWrAfjggw8YOXIkcXFxdOnShfT0dMBcy+Hp6QnA008/zYABA4iIiCA1NZWZM2dia2vLkCFDavKl1HnnF9O2adOGLl26EBERwccff8yYMWMAc9HxSy+9pB43a9YsevXqhb29PbNnz+aPP/5gw4YNjBgxgv3791/0eaZPn87YsWN577336NWrF4888ghNmjS56LFHjx5l4sSJVcY6d+7Md999V2WsVatW2NraqreDgoL4448/run1n+/AgQO0b9/+gkL0cwoLC3nppZfYuHEjaWlpVFZWUlJSckFheps2bdSvNRoNgYGBnD59+qqe4+DBg+zcuZM5c+aoY0ajkdLSUoqLi3Fxcbnu1yeEqP9ycnJYtmwZCxcuJDk5GTBvsOfp6YmiKOoS7oa6lPtG1Whys2/fPu666y719vTp0wEYOXIk8fHxpKWlVXlDeeedd6isrGTSpElMmjRJHT93PMCpU6cYMmQI2dnZ+Pn5cdttt7F79+4Lik6rW2Fh4SXvO/+NGVDfAC/GxqbqAjWDwXBDcV3KlS7XHTlyhPfff5/ffvuNFStWcMcdd+Dn58ejjz7K6NGjKSgouGiB9ksvvcTQoUPZuHEjmzZtYubMmaxdu/aql/tfzL8va2k0GvXyzvW4UlHz008/zZYtW3jzzTeJiorC2dmZhx9+mPLy8quO60rPUVhYyKxZs3jwwQcvuE+KAIVo2ObMmcPcuXPVsgQ/Pz8mTpzIk08+SUBAgIWjsw41mtzceeedKIpyyfvPJSznbN++/YrnXLt27Q1GdX2upQampo69FoWFhZw4cYLhw4dfcJ+iKDzxxBPMmzcPNzc3jEYjFRUVAOpno9F4yXM3a9aMZs2aodPpGDJkCCtXrrxoctO8eXO1RuacvXv33uhLu6I2bdrw7rvvcubMmYvOrOzcuZPHH39cjbmwsPCak8wrPUeHDh04evSo7DchhEBRFBRFUf+4dXZ2pqioiNatW6u/R+WPnupVp/e5EVfv6aef5ocffsBgMPDzzz/zwAMPXPJy3bvvvoufn5+6r0337t357rvv2L17N3q9npYtW150v4SSkhImT57M9u3bSUxMZOfOnezdu5cWLVpcNKYpU6awfPlyVq1axbFjx5g9eza///57jU+zDhkyhMDAQAYOHMjOnTs5efIkn332Gbt27QKgadOmrFu3jgMHDnDw4EGGDh16zTNFV3qOF198kdWrVzNr1iwOHz7MX3/9xdq1a3n++eer/fUKIeqmsrIy4uPjad++PR9++KE6PmbMGLZu3crBgwcZNWqUJDY1QJIbK3Hucl3z5s159NFHadSo0UUv12VkZDBnzhzmz5+vjnXu3JmnnnqKfv368fHHH7Ny5cqLPoetrS3Z2dmMGDGCZs2a8eijj3Lvvfdecg+hYcOGMWPGDJ5++mk6dOhAQkICjz/+eI3/R3ZwcODbb7/F39+fvn370rp1a1577TX18uG8efPw9vbm1ltvZcCAAURHR9OhQ4dqfY7o6Gg2bNjAt99+yy233ELXrl3R6/VERERU++sVQtQtp0+f5uWXXyYiIoJRo0Zx8OBBlixZot7v6elJz549pZ6mBmmUy103slL5+fl4enqSl5eHh4dHlftKS0tJSEggMjJSsukacM899xAYGMh7771n6VCslvwMC2EZhw4dIjY2lvfff5+ysjIAQkJCmDJlCuPGjbvkAgRx9S73/n2+OrnPjbAOxcXFLFmyhOjoaGxtbfnwww/ZunUrW7ZssXRoQghR7aZOncr3338PwC233IJOp+Phhx++5F5gouZIciNqjEaj4euvv2bOnDmUlpbSvHlzPvvssytuzCiEEHVdUVER7733Hg8++CD+/v6AeUVwo0aN0Ol0dOvWTS47WZAkN6LGODs733C/KiGEqEtSUlJYuHAhS5cuJScnh4yMDHXX8f79+9O/f38LRyhAkhshhBDiivbt24der+fjjz+msrISgMaNG8sigTpKkhshhBDiEkwmE9HR0VVmoXv06EFMTAwDBgy4YBNXUTdIcnMJDXARmbAS8rMrxI0pKipSN1i1sbEhIiICe3t7Bg8eTExMzDVvHSFqn+xz8y/nqtqLi4stHIkQ1+dcGwn5i1KIa3Py5EliYmIICgrit99+U8dfeuklDAYDq1evlsSmnpCZm3+xtbXFy8tL7Q/l4uIiFe+i3jCZTGRmZuLi4oKdnfz3FuJKFEVhx44d6PV6vvjiC3W38rVr19K+fXsAQkNDLRmiuA7y2+8iAgMDgcs3wBSirrKxsSE8PFySciEuo7KykrVr1xIbG8v+/fvV8ejoaHQ6Hb1797ZgdOJGyQ7Fl9nh8PyGkkLUFw4ODhd0nxdCVFVeXk5kZCSpqak4OTkxfPhwYmJiaNmypaVDE5chOxRXA1tbW6lbEEIIK3DkyBFWrlzJnDlzsLOzw8HBgRdeeIGsrCwmTJiAr6+vpUMU1UiSGyGEEFZJURS2bNlCbGwsmzZtAsxtER5++GEAJkyYYMnwRA2S5EYIIYRVKSkpYc2aNcTGxnL48GHA3A7mvvvuIzIy0sLRidogyY0QQgirkZ6eTuvWrcnKygLAzc2N0aNHM2XKFKKioiwcnagtktwIIYSo19LS0ggKCgLMq12joqJwcXFh6tSpjBkzBi8vL8sGKGqdJDdCCCHqHaPRyMaNG9Hr9fzyyy8kJyfj4+MDwKeffkpAQIDs9dSAyXpRIYQQ9UZhYSELFiygefPm3H///Wzfvp2ysjJ++ukn9ZiQkBBJbBo4+e4LIYSo806fPs0bb7zBsmXLyMvLA8DLy4snnniCSZMmERYWZuEIRV0iyY0QQog6r6KigtjYWCorK2natCkxMTGMHDlSbXApxPkkuRFCCFGnVFZW8tlnn7F3717efPNNwHypac6cObRs2ZK+ffvKLtzisqT9wmW2bxZCCFF7cnNzWbZsGQsWLCA5ORmAw4cPS0sEoZL2C0IIIeqFY8eOERcXR3x8PEVFRQD4+fkxceJE/P39LRydqI8kuRFCCGEx3377LX369OHcRYTWrVsTExPD0KFDcXJysnB0or6S5EYIIUStKSsrw2Aw0Lx5cwDuuOMO/P396dSpEzqdjrvvvhuNRmPhKEV9J8mNEEKIGpeZmcnbb7/N4sWL8fDw4MiRI9jY2ODk5MTRo0fx9PS0dIjCikhyI4QQosYcOnSI2NhY3n//fcrKygCws7PDYDDQuHFjAElsRLWTtXRCCCGq3b59++jduzetW7dm+fLllJWVccstt/DBBx+QkJCgJjZC1ASZuRFCCFHtioqK2LJlCzY2NjzwwAPodDpuvfVWqacRtUKSGyGEEDckJSWFRYsW4eTkxIsvvgiYC4Vff/11HnnkESIjIy0coWhoZBM/2cRPCCGuy759+9Dr9Xz88cdUVlbi7u7OqVOn5PeqqDGyiZ8QQohqZzQa+eKLL9Dr9ezYsUMdv+OOO4iJiZFeT6JOkORGCCHEVZs9ezYvvfQSYF71NHjwYGJiYujYsaNlAxPiPLJaSgghxCUlJCRw9OhR9fbIkSPx9/fnP//5D4mJibz33nuS2Ig6R2ZuhBBCVKEoCjt27ECv1/PFF1/Qv39/vvjiCwC0Wi2nTp3C3t7ewlEKcWmS3AghhACgvLycTz75hNjYWPbt21dlvKKiQk1oJLERdZ0kN0IIIVi5ciXPP/88qampADg6OjJ8+HBiYmJo1aqVhaMT4trUaM3Njz/+yIABAwgODkaj0bB+/forPmb79u106NABR0dHoqKiiI+Pv+CYRYsWodVqcXJyokuXLvzyyy/VH7wQQjQgJSUlpKamEhgYyCuvvEJycjLLli2TxEbUSzWa3BQVFdG2bVsWLVp0VccnJCTQr18/7rrrLg4cOEBMTAxjx47lm2++UY/56KOPmD59OjNnzuTXX3+lbdu2REdHc/r06Zp6GUIIYTUURWHLli307duXFStWqOMjR45k9erVGAwGnn/+efz8/CwYpRA3ptY28dNoNHz++ecMHDjwksc8++yzbNy4kUOHDqljgwcPJjc3l82bNwPQpUsXbrnlFhYuXAiAyWQiLCyMKVOm8Nxzz11VLLKJnxCioSktLWXNmjXExsaqv2PbtGnDgQMHpCWCqFalFUZKyo14uzpU+7mv9v27Ti0F37VrF7169aoyFh0dza5duwBzUdv+/furHGNjY0OvXr3UYy6mrKyM/Pz8Kh9CCNEQpKen8+KLLxIeHs7YsWM5dOgQrq6uTJkyhc8++0wSG1HtPvwlidv/9z3xOxMsFkOdKihOT08nICCgylhAQAD5+fmUlJSQk5OD0Wi86DFHjhy55Hnnzp3LrFmzaiRmIYSoy8aOHcvGjRsBCA8PZ+rUqYwZMwYvLy/LBiasUkm5kcXbT1BYVom9neXmT+rUzE1NmTFjBnl5eepHcnKypUMSQohqZzKZ+Oqrr9QVTwBTpkyhW7dufPzxx5w4cYKnnnpKEhtRY97fnUhmQRmh3s480jHMYnHUqeQmMDCQjIyMKmMZGRl4eHjg7OyMr68vtra2Fz0mMDDwkud1dHTEw8OjyocQQliLwsJCFi5cSPPmzbnvvvvUmkSA3r178/PPP/PII49gZ1enJuuFlSkqq2TJDycAmHp3Uxxk5sasW7dubNu2rcrYli1b6NatGwAODg507NixyjEmk4lt27apxwghREORlJTEM888oy6qOH78OF5eXri5uanHSE2NqC2rdhnILipH28iFBzuEWDSWGk3jCwsLOX78uHo7ISGBAwcO4OPjQ3h4ODNmzCAlJYXVq1cDMGHCBBYuXMgzzzzD6NGj+e677/j444/V68UA06dPZ+TIkXTq1InOnTsTGxtLUVERo0aNqsmXIoQQdcqYMWNYtWoVRqMRgKZNmzJt2jRGjhxZJbkRojYUlFbwzo8nAZjWqyl2tpadO6nR5Gbfvn3cdddd6u3p06cD5v0U4uPjSUtLIykpSb0/MjKSjRs3otPpiIuLIzQ0lHfffZfo6Gj1mEGDBpGZmcmLL75Ieno67dq1Y/PmzRcUGQshhDWprKysclnJyckJo9HIXXfdhU6no1+/ftjY1KnJeNGArNxpILe4giZ+rtzX1rKzNlCL+9zUJbLPjRCivsjNzeXdd99lwYIFrF27Vr0En5SUxJkzZ2jXrp1lAxQNXl5xBbf97zsKSitZMKQ9A9oG19hzXe37t1SXCSFEHXT8+HHi4uJYuXIlRUVFACxbtkxNbsLDwwkPD7dkiEIAsHzHSQpKK2ke4E6/1kGWDgeQ5EYIIeoMRVHYvn07er2eDRs2cG5i/eabb0an0zF06FALRyhEVTlF5azYaQBAd09TbGzMBewlJSU4OTlZrKBdkhshhKgjTCYTo0ePxmAwANCvXz9iYmLo2bOnrHoSddI7P52ksKySlkEe3NMigMzMTAwGAxkZGXTs2JGgIMvM5EhyI4QQFpKZmUl8fDzTpk3DwcEBW1tbnn32WX7//XemTZtG8+bNLR2iEJeUVVhG/E4DirGSITc58sMP29VLqGCuF5PkRgghGohDhw4RGxvL+++/T1lZGUFBQTz22GOAeUsMIeqDuE0HyUs5TrhjCZ5lGorKNdjZ2REWFoZWq7XolgSS3AghRC0wmUxs3ryZ2NhYtmzZoo536tQJPz8/C0YmxNUzmUykp6fz66EjrPjkRypNJu7r2RQPDw+0Wi2hoaF1Yidsy0cghBBWLj8/ny5duqgNfm1sbHjggQfQ6XTceuutUk8j6rzS0lISExNJTEykrKyMD/YkUWFSaBUVwfhH7sXX19fSIVYhyY0QQtSAgoIC3N3dAfDw8CAwMJDU1FTGjh3LlClT0Gq1lg1QiKuQnZ2NwWAgLS1NXb1XWAm7shxw1rZj9tjb61xiA5LcCCFEtdq3bx96vZ4vv/ySEydO4O/vD8C7776Lv7+/mvAIUVdVVlaSkpJCQkICBQUF6riPjw+RkZEs3JUJXjZ0ifTh1iaNLBjppUlyI4QQN8hoNPLFF1+g1+vZsWOHOv7VV18xZswYAJo0aWKp8IS4KoWFhRgMBpKTk6msrATA1taWkJAQIiMj8fDwIPlMMZ/8egCAp+5pVmcvqUpyI4QQ16mwsJBly5Yxf/58dW8aOzs7Bg8eTExMDB07drRsgEJcgaIoZGRkYDAYyMzMVMddXV3RarWEhYVhb2+vji/87jgVRoXbonzp0rhuztqAJDdCCHHdSkpKmDFjBmVlZfj4+DBhwgQmTZpEcHDN9dYRojqUl5erBcIlJSXqeEBAAJGRkfj6+l4wK5OYXcSnv54CQHdPs1qN91pJciOEEFdBURR27tzJt99+y8svvwyAn58fzz//PH5+fgwfPhwXFxcLRynE5eXk5GAwGEhNTcVkMgHg4OBAeHg4ERERl/0Zjtt2DKNJ4c7mfnSM8K6tkK+LJDdCCHEZ5eXlfPLJJ8TGxrJv3z4ABg4cSIcOHQB4/vnnLRmeEFdkNBpJTU0lISGBvLw8ddzLywutVktISAg2NjaXPceJzELW/5YCgK5X3Z61AUluhBDiorKzs3nnnXdYuHAhqampADg5OTF8+HC8vev2X61CABQXF2MwGEhKSqKiogIw77EUHBxMZGQkXl5eV32uuK3HMCnQq0UAbcOu/nGWIsmNEEL8y969e+nRo4daixAYGMikSZN44oknZDdhUacpilKleeU5zs7OaLVawsPDcXBwuKZzHk0v4KvfzQm+7p6m1RpvTZHkRgjR4CmKQkpKCqGhoQC0bdsWb29vmjdvjk6nY9CgQTg6Olo4SiEuraKiguTkZAwGQ5XmlX5+fmi1WgICAq572Xbctr9RFLj35kBaBXtWV8g1SpIbIUSDVVJSwpo1a4iNjaWwsJDjx49jZ2eHg4MDv/zyC8HBwXV2Hw8hwNzaIyEhgZSUFIxGIwD29vZq80pXV9cbOv/h1Dy+/iMdjQZi6kGtzTmS3AghGpz09HQWL17M22+/TVZWFmDe1+PQoUO0a9cOgJCQEAtGKMSlmUwm0tLSMBgMnDlzRh0/v3mlra1ttTxX7NZjAPRvE0zzwPqzu7YkN0KIBuPYsWPMmTOHDz/8kPLycgDCw8OZOnUqY8aMuaYCSyFqW0lJCYmJiSQlJVFWVgaARqMhODgYrVaLj49PtT7f76dy2fJnBjYamNazftTanCPJjRCiwcjOzmbVqlUAdOvWDZ1OxwMPPICdnfwqFHVXVlYWBoOB9PR0tXmlk5MTERERhIeH4+TkVCPPq9/yNwAD24UQ5e9WI89RU+R/tBDCKhUWFhIfH09+fj7/+c9/AOjatSvPP/88/fv3p0uXLhaOUIhLq6ys5NSpUyQkJFBYWKiON2rUCK1WS2Bg4BX3prkR+xNz+P5oJrY2GqbWs1kbkORGCGFlkpKSWLhwIcuWLSM3NxcXFxcmTJigTtm/8sorFo5QiEsrKCjAYDBw6tSpKs0rzxUI11ZX+dit5lmbhzqEoPW9saJkS5DkRghhFXbv3o1er+ezzz5TV400bdqUadOm1di0vRDVwWQykZGRQUJCAtnZ2eq4m5ub2ryyNi+d/pJwhp+OZWFno2HK3fVv1gYkuRFCWIHFixczadIk9fbdd99NTEwM/fr1q9GpeyFuRGlpKUlJSSQmJlJaWgqYC4TPb15Z2xRF4a1vjwLw6C1hhPnUz35pktwIIeqd3NxcsrOzadKkCWDu9fTss8/y8MMPExMTQ9u2bS0coRCXdubMGRISEkhLS1MLhB0dHdXmlc7OzhaLbdeJbPYknMHB1obJd0VZLI4bJcmNEKLeOH78OHFxcaxcuZLu3bvzzTffABAcHExaWhpubvVrRYdoOCorK0lJScFgMJCfn6+O+/j4oNVqCQoKsvgso6IovHV2hdSQzmEEe1kuybpRktwIIeo0RVH44Ycf0Ov1fPXVV+pfumlpaRQVFak7sEpiI+qiwsJCDAYDycnJVQqEQ0JCiIyMxMPDw8IR/uPHY1nsT8zB0c6GifV41gYkuRFC1GEbNmzghRde4MCBA+pY37590el09OzZU1ojiDpJURQyMjIwGAxkZmaq466urmqBsL29vQUjvJCiKMw7W2vzWNcIAjzqdxG+JDdCiDrr9OnTHDhwAGdnZx5//HGmTZtG8+bNLR2WEBdVVlamFgif6yh/rkBYq9Xi6+tbZxPy746c5uCpPJztbZnQo4mlw7lhktwIIeqEQ4cOERsbS9euXRk7diwAQ4cOJScnh1GjRlX71vJCVJecnBy1QNhkMgHg4OCgFgi7uNTtFUeKojDvbK3NiFsj8HN3tHBEN06jnLuA3YDk5+fj6elJXl5enbreKURDYzKZ+Oabb9Dr9WzZsgUw701z5MgRixdXCnE5RqNRLRDOy8tTx729vdFqtQQHB9ebn+HNh9KY8P6vuDrY8tOzd+Pj6mDpkC7pat+/ZeZGCFHriouLWb16NXFxcRw5cgQAGxsbHnjgAXQ6XZ2duheiqKhILRCuqKgAzD+75wqEPT09LRzhtTGZFPRbzJ2/R3WPrNOJzbWQ5EYIUevGjx/PmjVrAHB3d2fs2LFMmTKFyMhIC0cmxIUUReH06dMYDAZOnz6tjru4uKgFwg4O9TMp2PhHGkczCnB3smPc7Y0tHU61keRGCFHj9u/fT0BAAKGhoQCMGzeOn3/+malTpzJ69Gi5PCzqpPLycpKTkzEYDBQXF6vj/v7+REZG4ufnV69nGY0mRe0hNfa2xni61K0VXDdCkhshRI0wGo188cUXxMbG8tNPPxETE4Nerwfgjjvu4NixY9ja2lo4SiEulJeXR0JCAikpKWqBsL29vVogfG5vpfruy4MpnMgswtPZnlG3aS0dTrWS5EYIUa3y8/NZsWIF8+fPJyEhAQA7OzvKysrUYzQajSQ2ok4xmUykpqZiMBjIyclRxz08PIiMjCQkJMSqfmYrjSbitpprbcbf0RgPJ+uZtQFJboQQ1eill15i3rx5FBQUAOat5SdMmMDEiRMJCQmxcHRCXKikpITExEQSExMpLy8HzAXCQUFBaLVaq92CYN1vKRiyi/FxdeDxW7WWDqfaSXIjhLhu53aSOFd3UFBQQEFBATfddBMxMTEMHz68zu/xIRqmzMxMDAYDGRkZ6s+xk5MTWq2W8PBwHB3r/14v56swmsgqLCMjv4zT+aXM32aetZnQozGujtaXCtTKK1q0aBFvvPEG6enptG3blgULFtC5c+eLHnvnnXfyww8/XDDet29fNm7cCMDjjz/OqlWrqtwfHR3N5s2bqz94IcQFKioq+OSTT9Dr9bzxxhvceeedAMTExNCrVy+io6PrzR4fouGoqKjg1KlTGAwGCgsL1XFfX1+0Wi2BgYH1rkC4rNJIZkEZpwvMSYv5cxkZ574+O36muJx/72rn6+bI8K5ai8Rd02o8ufnoo4+YPn06S5YsoUuXLsTGxhIdHc3Ro0fx9/e/4Ph169apU4MA2dnZtG3blkceeaTKcX369GHlypXqbWvLsoWoi86cOcPSpUtZuHAhqampACxYsEBNbsLCwggLC7NghEJcqKCggISEBE6dOoXRaATMdWChoaFotVrc3d0tHOGFKo0m0vJK/0lS8kvJOJu4nC4oVT/nFFdc9TntbDT4uTvi7+6Iv4cTI7tpcXawnjqi89V4cjNv3jzGjRvHqFGjAFiyZAkbN25kxYoVPPfccxcc/+/rm2vXrsXFxeWC5MbR0ZHAwMCaC1wIoTp69CixsbGsWrVK7ZkTEBDApEmTmDBhgoWjE+JCJpOJ9PR0DAYD2dnZ6ribmxuRkZGEhoZiZ1c3L8ckZRczcuUvJGQVXdXxDrY25qTF42zi4u5EgIf5s5+HIwHuTvh7OOLj4oCNTf2ambpeNfqdLS8vZ//+/cyYMUMds7GxoVevXuzateuqzrF8+XIGDx58wdK77du34+/vj7e3N3fffTezZ8+mUaNGFz1HWVlZlZUa+fn51/FqhGiYFEVh4MCB6k7C7dq1Q6fTMWjQIJkxFXVOaWmp2ryytLQUMNeEBQYGqs0r67LE7CIGv7ObtLxSHOxsCDgvOfE//7O7IwEe5s9eLvb17nJaTavR5CYrKwuj0UhAQECV8YCAAPUX5eX88ssvHDp0iOXLl1cZ79OnDw8++CCRkZGcOHGC//znP9x7773s2rXrokv15s6dy6xZs27sxQjRQJSWlrJ27VoGDx6Mk5MTGo2GmJgYvv76a3Q6HT169JBfpKLOOXPmjNq88lyBsKOjI+Hh4Wi1WpycnCwc4ZUZsooYssyc2DTxc+XD8V3xd6/7cddFdXNO7qzly5fTunXrC4qPBw8erH7dunVr2rRpQ5MmTdi+fTs9e/a84DwzZsxg+vTp6u38/HypCxDiXzIyMli8eDFvv/02mZmZGI1GxowZA8ATTzzBE088YeEIhaiqsrJSbV55/oy8j48PWq2WoKCgelPYbsgyz9ik55cS5e/GB+O6SGJzA2o0ufH19cXW1paMjIwq4xkZGVeslykqKmLt2rW8/PLLV3yexo0b4+vry/Hjxy+a3Dg6Osr0uRCXcPDgQWJjY/nggw/UYn5rXAorrMfFmlfa2tqqzSvrWzuPhKwihpyX2Hw4rit+7vL/70bUaHLj4OBAx44d2bZtGwMHDgTMRV7btm1j8uTJl33sJ598QllZGY899tgVn+fUqVNkZ2cTFBRUHWEL0SCUlZXRr18/tm3bpo517doVnU7Hgw8+WGeLLUXDpCgKGRkZGAwGMjMz1XFXV1e1eaW9ff3bZfdkZiFDlu0mI7+Mpv5ufCCJTbWo8d9e06dPZ+TIkXTq1InOnTsTGxtLUVGRunpqxIgRhISEMHfu3CqPW758OQMHDrygSLiwsJBZs2bx0EMPERgYyIkTJ3jmmWeIiooiOjq6pl+OEPVaRUWF+gbg6OiIvb09tra2PPzww8TExNC1a1cLRyhEVeXl5SQlJWEwGNSVemCu3dRqtfW6eeXJzEIGv7Ob0wVlNAswJza+bpLYVIcaT24GDRpEZmYmL774Iunp6bRr147NmzerRcZJSUkXXBM9evQoO3bs4Ntvv73gfLa2tvz++++sWrWK3NxcgoOD6d27N6+88opMowtxCcnJySxcuJCVK1fy22+/qa0Q5s2bh6urK+Hh4RaOUIiqcnNzSUhIIDU19YLmlVqttt7vfH0is5AhZxOb5gHurBnXRRKbaqRRlH/vWWj98vPz8fT0JC8vr95dmxXiWuzZswe9Xs+nn36qbl42d+7ci+4xJYSlGY1GtXllbm6uOu7p6UlkZCTBwcFW0bzy+GnzpajMgjJuCnRnzdguNJLE5qpc7fu3XFQXwspUVlby+eefo9frq+wnddddd6HT6ejXr58FoxPiQsXFxWrzynMFwjY2NgQHB6PVavH29rZwhNVHEpvaIcmNEFamoKCAxx9/nOLiYhwcHBgyZAgxMTG0a9fO0qEJoVIUpUrzynOcnZ2JiIggIiICBwcHC0ZY/Y6fLmDwO3vIKjQnNh+M64qPq3W9xrpCkhsh6rnjx4/z+eef83//938AeHt789RTTwEwceJEaVMi6pSKigqSk5MxGAwUFf3TXsDPzw+tVktAQEC9LRC+nGMZBQxZtpuswnJaBHmwZmwXSWxqkNTcSM2NqIcUReGHH35Ar9fz1VdfoSgKP//8M926dbN0aEJcVH5+PgkJCaSkpFRpXhkWFoZWq8XNzc3CEdacvzMKGHo2sWl5NrHxlsTmukjNjRBWqKysjLVr1xIbG8uBAwfU8b59+9aL7eVFw2IymUhLS8NgMHDmzBl13MPDA61WS0hIiNXvp3Q03ZzYZBeV0yrYg/fHSGJTG6z7p0oIK3L06FF69Oih1ic4OzszcuRIpk2bxk033WTh6IT4R2lpqVogfK5psUajISgoiMjISHx8fCwcYe34d2KzZmwXvFwksakNktwIUYfl5eXh6ekJQFRUFM7OzgQHBzN58mTGjx9/wSaXQlhSdnY2CQkJpKenq80rnZyciIiIIDw8vEHNLh5Jz2fosj2cKSrn5hDzjI0kNrVHkhsh6hiTycQ333yDXq/n8OHDJCQk4ODggK2tLZs3byYyMtLqVpGI+quyspJTp05hMBgoKChQxxs1aoRWqyUwMLDeNK+sLn+l5TPsXXNi0zrEk/fGdJbEppZJciNEHVFcXMx7771HbGwsR44cAcx7ffz888/ceeedADRv3tyCEQrxj8LCQrV5ZWVlJWDeQT40NBStVttgF2v8mZrPsHd3k1NcQZtQT94b3QVPl/rX86q+k+RGCAvLyMggLi6OpUuXqkWX7u7ujB07lilTphAZGWnhCIUwO9e8MiEhgaysLHXc1dWVyMhIQkND62XzyupyQWIzpguezg3338OSJLkRwsLS09PVxrGRkZFMnTqV0aNHN9i/fEXdU1ZWRlJSEomJiWrzSo1Gozav9PX1tcq9aa7F4dQ8hr27h9ziCtqGerK6ASc2RUVFODk5WbRVhiQ3QtQio9HIl19+yYkTJ3j66acBaNu2LdOnT+e2227jvvvus4reOcI65OTkkJCQQFpamtq80sHBQd1B2NnZ2cIR1g2HUsyJTV5JBW3DvHhvTGc8nBpeYnPq1CkWLlzIO++8w4oVKxg4cKDFYpFN/OSvY1EL8vPzWblyJfPnz+fkyZM4ODiQnJyMv7+/pUMTogqj0UhKSgoGg4G8vDx13NvbG61WS3BwcIMrEL6c8xObdmFerG6Aic3evXvR6/V88sknav3V0KFDWbNmTbU/l2ziJ0QdkJCQwIIFC1i+fDn5+fkA+Pj48MQTT8gMjahTioqK1ALh85tXhoSEoNVq8fLysmyAddAfp/J4bLk5sWkf7sWq0Q0rsUlMTGTo0KH8/PPP6liPHj3Q6XT079/fgpFJciNEjfn4448ZMmSIOp1/0003ERMTw/Dhw3FxcbFwdEKYC4RPnz6NwWDg9OnT6riLiwtarZawsDDZduBfKowmErOLOZyaxwvrD5FfWkmHs4mNewNIbEwmkzpzFxgYyIkTJ7C3t2fw4MHExMTQoUMHC0doJsmNENWkoqKCjIwMQkNDAbjrrrtwcHDgjjvuQKfT0bt3b5nOF3VCeXm5WiBcXFysjvv7+6PVavH392/wBcJFZZWczCzieGYBx08Xqh+J2cVUmv6p5ugY4U38qFusPrE5efIk8+fP58cff2Tv3r3Y2tri6OjIhx9+yE033URQUJClQ6xCkhshbtCZM2dYunQpCxcuJCoqih9++AEwdzlOSEiQrtyizsjNzcVgMJCSkqLOKNrb2xMeHk5ERASurq4WjrB2KYpCdlE5x08XciLznwTmxOlCUvNKL/k4Fwdbmvi50SHci6ejm1ttYqMoCj/99BN6vZ4vvvhC3XV6y5Yt9OnTBzD/EVcXSXIjxHU6cuQIcXFxrFq1Sl0eazKZyMrKwtfXF0ASG2FxRqOR1NRUDAYDubm56rinpyeRkZEEBwdbff2XyaSQklvyT/JyLpHJLCS3uOKSj2vk6kATfzei/N2I8jN/buLvRpCHEzY21juzVV5ezscff4xer+fXX39Vx/v06YNOp+Oee+6xYHRXR5IbIa7R7t27efnll9m0aZM61q5dO3Q6HYMGDcLR0dGC0QlhVlxcjMFgICkpqUqBcHBwMFqtFm9vbwtHWH1MJoWsojLS80pJyytVP6fklnDidCEnswoprTBd9LEaDYR6O9PE758EJsrfjSZ+bg22e/cvv/zC8OHDAXNvsBEjRjBt2jRatmxp4ciuniQ3QlyjkydPsmnTJjQaDQMGDECn09GjR48GX6MgLE9RFDIzMzEYDGr3eDB3kNdqtYSHh9e7AmGjSSGrsIy0vFLSckvMyUv+uSTGfDsjv5QK4+V3NXGwtSHS1/Vs4uKqzsg09nXD2cG6Z66u5K+//uKPP/7g0UcfBaB79+4MGDCALl268MQTT6gz0fWJ7HMj+9yIy8jIyGDx4sWEhoYybtw4wFw4/OKLLzJmzBiioqIsHKEQ5p/JcwXCRUVF6rifnx9arZaAgIA6mXxXGk2cLig7b7alpMrX6XmlZBSUYTRd+W1KowF/d0cCPZ0J8nAi0NOJIE8nGp+djQnzdsbOVgr6z1EUhW+//ZbY2Fg2b96Mm5sbp06dwtPT09KhXZbscyPEDTh48CB6vZ4PP/yQ8vJywsPDGTVqFHZ2dtjb26vtEoSwpLy8PAwGA6dOnapSIBwWFoZWq62TBcJ5xRV8dzSDbw9n8MPfmRSXG6/4GFsbDQHujmcTFmc1cTn/az93R+wlebmikpIS3n//fWJjY/nzzz8BcyuNXr16kZeXV+eTm6slyY0QZ5lMJjZu3Iher+f7779Xx7t160ZMTEyd/MtXNDwmk0ktEM7JyVHHPTw8iIyMJCQkpM4VCKfllbDlT3NCs/tkdpWl1Pa2GgI8zAlKoKez+bN624lgL2d83RyxteIC3tryzTff8Nhjj6lNT93c3BgzZgxTpkyhSZMmFo6ueklyI8RZ06dPJy4uDgBbW1sefvhhdDodXbp0sXBkQpj/4k5MTCQxMZHy8nLAXCAcFBSEVqvFx8fHwhH+Q1EUTmQW8s3hDL49nM7BU3lV7r8p0J3eLQPo3SqQlkEeVr3yyNJKS0txcnICoEWLFuTk5BAREcHUqVMZM2aM1czU/JskN6LBSk5OVreXBxgyZAjx8fGMHz+eyZMnEx4ebuEIhYCsrCwSEhLIyMhQ9xlxcnJSC4Tryuo8k0nhwKlcvjmczpbDGZzM+qf2R6OBThHe9G4ZyD0tA9D61r3LZdbEaDSyYcMG9Ho97u7ufPXVVwCEh4ezY8cOOnXqhJ2ddb/9S0GxFBQ3OLt37yY2NpZPP/2U8ePHs3jxYvW+4uJiaY0gLK6yspLk5GQMBgOFhYXquK+vL1qtlsDAwDpxmbS80sSuk9l8ezidLX9mcLqgTL3PwdaG7lGNiG4VSM8WAfi5140kzJoVFhaycuVK4uLiOHHiBGCuwUpOTiYgIMDC0VUPKSgW4jyVlZWsW7cOvV7P7t271fHk5GQURVHfKCSxEZZUUFCgFgif665sZ2dHaGgoWq0Wd3d3C0cIhWWVbD96mm8PZ/D9kdMUlFWq97k72nHXTf5EtwqkR3M/3BzlLaY2JCUlsWDBApYtW6Z2cvf29lZnoa0lsbkW8pMnrN4777zDnDlzSEpKAsDBwYGhQ4cybdo02rVrZ9ngRINnMpnIyMggISGB7OxsddzNzY3IyEhCQ0Mtfgkhs6CMrX+Z62d2Hs+m3PjPhnj+7o7c0zKA6FaBdG3cCAc7WbFU2zZt2sSbb74JQLNmzYiJiWHEiBF1crVcbZHkRli9xMREkpKS8PPz48knn+TJJ5+UtgjC4srKytQC4dJScx8jjUZDYGAgWq32ujZOUxSFcqOJ8krzR9nZz+fGyiqN/4z96/6yCuMFjy2rNHEoJY/9STmcX8DQ2NeV3q0C6d0qgHahXlIQXIsqKipYt24dzs7O3HfffQAMHz6cb775hjFjxnDvvfdKg16k5kZqbqyIoij88MMP6PV6Jk6cSHR0NACpqals2rSJYcOGqasGhLCUM2fOYDAYSEtLU/emcXR0JDw8HK1We9U/o4qiMH/bcdbsSaSk3EjZ2cSkprQN86J3ywCiWwUQ5W/5y2MNTU5ODsuWLWPBggWcOnWKFi1acPjw4TpRe1WbpOZGNBhlZWV89NFH6PV6Dhw4AJiXP55LboKDgxkzZowFIxQNndFoJCUlhYSEBPLz89VxHx8ftFotQUFB1/TXtqIovPr1Xyz7KeGyx9nbanC0s8XBzgYHWxsc7GxwtDN//udrWxxszV+ff5+DrQ2O9jYEeTrTs4U/QZ7O1/36xfX7+++/iYuLIz4+nuLiYgD8/f0ZNGgQ5eXldWa1XF0jyY2otzIzM1myZAmLFy8mPT0dMPfQGTlyJNOmTbNwdEJAUVERBoOB5ORktXmlra0tISEhaLXa69pj5N+JzQv9W3L3Tf5VEhIHW/OHXC6q32bPns0LL7yg3m7dujU6nY4hQ4bILPQVSHIj6q0BAwawZ88ewDw7M2XKFMaNG0ejRo0sHJloyBRF4fTp0yQkJJCZmamOu7q6otVqCQsLw97e/rrPfX5iM3vgzTzWNaJa4haWV1ZWRllZmXq5pWvXrgD069cPnU7H3Xff3eAuQ10vSW5EvaAoCt988w233XYbbm5uADzxxBMYjUZ0Oh2PPPLIdb9hCFEdysvL1eaV5y4fAAQEBKDVavHz87uhNyZJbKzX6dOnefvtt1m8eDGPP/44r7/+OgA9e/bk2LFj0qD3OkhBsRQU12nFxcW89957xMXF8ddff7FgwQImT54MmJfQajQa+UtGWFRubi4Gg4GUlJQqzSvPFQhXx95JkthYpz/++IPY2FjWrFlDWZl5A8TWrVtz8OBB+b12CVJQLOq11NRUFi1axNKlS9W9P9zd3dUls4AsdxQWYzKZSElJwWAwkJubq457enoSGRlJcHBwtTWvVBSFORv/4t0dkthYi2+//Zb//e9/bNu2TR3r3LkzOp2Ohx56SBKbaiDJjahTTCYTo0eP5oMPPlALMCMjI5k6dSqjR4+WmTZhUcXFxeq+Sec3rwwODkar1eLt7V2tz/fvxGbOAzczrIskNvXdhg0b2LZtGzY2Njz00EPodDq6du0qSU01kuRGWNz57Q9sbGzIy8ujoqKC2267DZ1Ox/33319tfwULca0URanSvPIcZ2dnIiIiaqx5pSQ21iElJYWFCxdy//33qwXCU6dOxcHBgSlTphARId/TmlAr8/qLFi1SN6fq0qULv/zyyyWPjY+PV+sozn38e8mboii8+OKLBAUF4ezsTK9evTh27FhNvwxRzfLz84mLi6N58+YkJPyzX8crr7zC3r17+emnn3jwwQclsREWUVFRwcmTJ/n+++/ZvXu3mtj4+flxyy230LNnT5o2bSqJjbiovXv3MnToULRaLa+99praHgEgKiqKN998UxKbGlTjMzcfffQR06dPZ8mSJXTp0oXY2Fiio6M5evQo/v7+F32Mh4cHR48eVW//e6ruf//7H/Pnz2fVqlVERkbywgsvEB0dzZ9//ilr/+sBg8HA/PnzWb58ubqh2ZIlS9QVAjfffLMlwxMNXH5+vtq80mg0AubmlWFhYWi1WnW1Xk2RxKb+qqys5IsvvkCv17Nz5051vEePHowYMcKCkTU8Nb5aqkuXLtxyyy0sXLgQMNdUhIWFMWXKFJ577rkLjo+PjycmJqZKkd75FEUhODiYp556iqeffhqAvLw8AgICiI+PZ/DgwVeMSVZL1T5FUdi5cyexsbF8/vnn6qqSm266iZiYGIYPHy4duYXFmEwm0tLSMBgMnDlzRh13d3cnMjKSkJCQWmleKYlN/darVy+1SNje3p7BgwcTExNDhw4dLByZ9agTq6XKy8vZv38/M2bMUMdsbGzo1asXu3btuuTjCgsLiYiIwGQy0aFDB1599VVatWoFQEJCAunp6fTq1Us93tPTky5durBr166LJjfnNkY65/ztz0XtKC4upl+/fuq//T333INOpyM6OlpWPQmLKS0tVZtXnvsdodFoCAoKQqvV1uqGkIqiMHvjXyyXxKbeOHnyJCEhIeqlyfvuu48DBw6oDXqDg4MtHGHDVaPJTVZWFkajkYCAgCrjAQEBHDly5KKPad68OStWrKBNmzbk5eXx5ptvcuutt3L48GFCQ0PVbfYvds5z9/3b3LlzmTVrVjW8InG1zpw5w6effsq4cePQaDS4uroyZcoU0tPTiYmJkUtPwqKys7PVP5TOTV47OjoSERFBRERErV/e/ndi8+oDrRnaJbxWYxBXR1EUfvrpJ/R6PV988QUrV65k5MiRAIwbN45x48bh7Cx9uCytzq2W6tatG926dVNv33rrrbRo0YKlS5fyyiuvXNc5Z8yYwfTp09Xb+fn5hIWF3XCs4kJHjx4lNjaWVatWUVJSQtOmTbnrrrsAc58UISylsrKSU6dOYTAYKCgoUMd9fHyIjIwkMDDQIrOIktjUD+Xl5Xz00UfExsby66+/quO//fabmtxIUlN31Ghy4+vri62tbZXlkwAZGRkEBgZe1Tns7e1p3749x48fB1Afl5GRQVBQUJVztmvX7qLncHR0lM6pNUhRFLZt24Zer+frr79Wx9u2bUsD3ABb1DGFhYVq88rKykrA3LwyNDQUrVZr0bo7SWzqPpPJxGuvvcbChQtJS0sDwMnJiREjRjBt2jRatmxp4QjFxdRocuPg4EDHjh3Ztm0bAwcOBMw/KNu2bVO30L8So9HIH3/8Qd++fQHUv7C2bdumJjP5+fns2bOHJ598siZehriM1NRU+vTpwx9//AGY6xUGDBhATEwMd955p2xKJSxCURQyMjJISEggKytLHa+O5pXVRRKb+sHGxoZt27aRlpZGUFAQkydPZvz48fj6+lo6NHEZNX5Zavr06YwcOZJOnTrRuXNnYmNjKSoqYtSoUQCMGDGCkJAQ5s6dC8DLL79M165diYqKIjc3lzfeeIPExETGjh0LmN88Y2JimD17Nk2bNlWXggcHB6sJlKhZZWVl6kxYYGAg5eXluLq6MmrUKKZOnUrTpk0tHKFoqMrKytTmlSUlJYD5d8a55pW+vr51IuGWxKZuUhSFb7/9lgULFvDuu++qVwpeeuklRo0axaOPPoqDg4OFoxRXo8aTm0GDBpGZmcmLL75Ieno67dq1Y/PmzWpBcFJSUpXr3Dk5OYwbN4709HS8vb3p2LEjP//8c5Wpv2eeeYaioiLGjx9Pbm4ut912G5s3b5Y9bmrY77//jl6vZ+vWrfz99984OztjY2PD2rVriYiIqPat54W4Wjk5ORgMBlJTU9VtBhwcHNTmlXWpFkJRFF7Z8BcrdkpiU1eUlJTw/vvvExsby59//gnA22+/rS5Euf3227n99tstGaK4RtIVXPa5uSyTycTXX3+NXq/nu+++U8c/++wzHnzwQQtGJho6o9GoNq/My8tTx728vNTmlXVtmwFJbOqWtLQ0Fi9ezJIlS9TLl25ubowZM4apU6fSuHFjC0co/q1O7HMj6q+ioiLi4+OJi4tTW1vY2tpWafImhCUUFxdjMBhISkpSm6va2NgQEhKCVqvFy8vLsgFewr8Tm7kPtmZIZ0lsLKWkpIQWLVqoiXFERARTp05lzJgxeHp6Wjg6caMkuREXlZSUpBZ9e3p6Mn78eCZPnkx4uPwyFrVPURQyMzNJSEjg9OnT6riLi4vavLIu10JIYmN5RqORn376iTvvvBMwL9seNGgQhw8fJiYmhoEDB9bKLtSidshlKbksBcCePXvYt28fkyZNUseefPJJWrVqxeOPP17j/XSEuJiKigq1QLioqEgd9/PzIzIyEn9//zpRIHw5kthYVmFhIStXriQuLo4TJ06wd+9eOnXqBJj3rqnLSbG4kFyWEldUWVnJ559/jl6vZ9euXdjZ2TFw4EBCQkIAc0GdEJaQl5enNq88VyBsb2+vNq90dXW1cIRXRxIby0lMTFRXPZ279OTt7c2JEyfU5EYSG+slyU0DlJuby/Lly1mwYAGJiYmA+Y1j6NChahdkIWqbyWQiNTUVg8FATk6OOu7h4aE2r7S1tbVghNdu9a5ESWxqWVZWFhMnTmTdunXq77NmzZoRExPDiBEj6k1iLG6MJDcNzLkNFQsLCwHzLtJPPvkkEydOvOpdo4WoTiUlJWrzyvLycsBcIHyueaWPj4+FI7w+Z4rKeevbowA836+FJDa1xNPTk127dmE0GunZsyc6nY577723zq2cEzVLkhsrpygKOTk56htEhw4dMJlMtGrVipiYGIYNG1an9gARDYOiKGRlZWEwGMjIyFDbdDg5OaHVagkPD6/3LVNit/5NfmklLYI8GNU90tLhWKWcnByWLVvGF198wfbt27G3t8fe3p5ly5YRHBxMmzZtLB2isBBJbqzUuSZver0ee3t7du/ejUajwdvbm19//ZVmzZrV+UJMYX0qKipITk7GYDBUKRD29fVFq9USGBhoFT+Xf2cUsGZPEgAv9G+BrU39f011yd9//01cXBzx8fEUFxcDsH79eh555BEA+vTpY8nwRB0gyY2VycrKYsmSJSxatIj09HTAvOTRYDAQGWn+67F58+aWDFE0QPn5+SQkJJCSkqLWQdjZ2akFwta0Gs9cRPwnRpNCdKsAbm0iPYiqg6IofP/99+j1ejZu3KjO9rVu3RqdTseAAQMsHKGoSyS5sRLHjh3jjTfe4L333qO0tBSA4OBgtclbo0aNLByhaGhMJhNpaWkYDAbOnDmjjru7u6sFwta4r8h3R07z07EsHGxt+G9f6RhdXX7//Xd69uyp3u7fvz86nY677rrLKmb7RPWyvt8sDdQff/zBsmXLAOjYsSM6nY5HHnlEljqKWldaWqruIFxWVgaYm1eeKxC25kS7vNLE7I1/ATD6tkjCG7lYOKL66/Tp0/zyyy/0798fgLZt29K7d2+ioqKYNm0azZo1s3CEoi6T5KYeKikp4b333sPOzo7Ro0cDcP/99/PEE08wbNgwbrvtNvlLRtS6cwXC6enpVQqEz+0g3BAa267eZSAhqwhfN0cm3dXE0uHUS3/88QexsbGsWbMGGxsbkpOT1YR48+bN8rtNXBVJbuqR1NRUFi1axNKlS8nOziYoKIjHHnsMBwcHbG1tWbJkiaVDFA1MZWWlWiB8bnsBgEaNGqkFwg1lCW52YRlx28x92P4vuhnuTvYWjqj+MJlMbN68Gb1ez9atW9Xxzp07k56eriY3ktiIqyXJTT2wf/9+YmNj+eijj9RGgZGRkUydOlXdvVWI2lRQUKDuIFxZWQmYC4RDQ0PRarW4u7tbOMLap9/6NwWllbQM8uDhjmGWDqfe2Lt3L8OHD+foUfOeQDY2Njz00EPExMTQrVs3SWjEdZHkpo579dVX+e9//6vevu2229DpdNx///31brdWUb+ZTCYyMjJISEggOztbHXdzc0Or1RIWFmaVBcJX40h6Ph+cXfo9c0BLWfp9BSaTSZ3RCwsL4+TJk3h4eDBu3DimTJlCRESEhSMU9V3D/E1UhxUUFFBUVKTuFtyvXz9eeuklHn30UWJiYtSeKELUlrKyMnUH4XMr8TQaDYGBgWi1Wnx9G/ZS53NLv00K9G0dSJfG1lswfaP27t2LXq8nJyeHTZs2ARAYGMiGDRvo1q1bg5zxEzVDkps6wmAwqE3eHn74YZYvXw6YVwikpqY2+DcQUfvOnDmDwWAgLS1Nvfzp6OhIeHg4ERERsrP1WVv/Os3O49k42Nkw494Wlg6nzjEajaxfvx69Xs/OnTvV8ePHjxMVFQVA7969LRWesFKS3FiQoij8/PPP6PV6Pv/8c/UNZP/+/RiNRvWykyQ2orYYjUZSUlJISEggPz9fHff29iYyMpKgoKAGUyB8NcoqjczZ+CcAY2+LJMxHln6fk5+fz/Lly5k/fz4GgwEwN+gdPHgwMTExamIjRE2Q5MZCvvzyS2bPns3evXvVsXvuuQedTkd0dLS8gYhaVVRUhMFgIDk5WS1at7W1JSQkBK1Wi6enp4UjrJtW/5yIIbsYP3dHJt4lb9bn+/zzz5k+fTpgXj03YcIEJk6cSHBwsIUjEw2BJDcW8vvvv7N3714cHR157LHHiImJ4eabb7Z0WKIBURSF06dPk5CQQGZmpjru4uKiNq+0t5flzJeSVVjGfHXpd3PcHBvur1NFUdixYwcFBQX07dsXgMGDBxMfH8+QIUMYPny4XMYUtarh/m+sRUePHiUuLo6+ffuqu21OmDABRVGYMGECfn5+Fo5QNCTl5eUkJSWRmJioNh0E8Pf3JzIyEj8/P1l+exXmbfmbgrJKbg7x4OEOoZYOxyLKy8v5+OOPiY2NZf/+/TRp0oTo6GhsbW1xdHTk+++/t3SIooGS5KaGKIrCtm3b0Ov1fP311wAcPnxYTW58fX154YUXLBmiaGByc3MxGAykpKSo9V329vZqgbCrq6uFI6w//krLZ+0v5qXfL/ZvhU0DW/qdnZ3N0qVLWbRoEampqYB5N+qePXtSVFSEh4eHhSMUDZ0kN9WstLSUDz74gNjYWP744w/AvGz2XJM3IWqTyWQiNTWVhIQEcnNz1XFPT0+0Wi0hISGyX9I1UhSFl78yL/3u1yaIzpE+lg6pVi1btoxp06ZRUlICQFBQEJMmTeKJJ56QxQ+izpDkppo98MADbN68GQBXV1dGjRrF1KlTadq0qYUjEw1JSUmJ2ryyvLwcMO/8GhQURGRkJN7e3haOsP769s8Mdp00L/1+rs9Nlg6nximKQklJCS4u5pVgN910EyUlJbRv3x6dTsegQYOkQa+ocyS5qWbDhw/n8OHDTJkyhbFjx8qbiKg1iqKozSszMjKqNK88VyDs6Oho4Sjrt7JKI69+be76Pf72xla99LukpIQ1a9YQGxtLz549iYuLA8y7pO/Zs4dbbrlFarNEnaVRzv0GbEDy8/Px9PQkLy+v2q8Nn99nR4jaUFFRoTavLCoqUsd9fX2JjIwkICBA3oSqydIfTjB30xH83R35/uk7cbXCFVLp6eksWrSIJUuWkJWVBZgvPSUmJsrqOWFxV/v+bX3/My1MkhpRW/Lz89XmlUajETD//IWFhaHVanFzc7NwhNYls6CMBd8dB+CZPjdZXWJz8OBB5s2bx4cffqjudRQeHs7UqVMZO3asJDaiXrGu/51CWDmTyUR6ejoJCQmcOXNGHXd3d0er1RIaGioJdg2Zt+UohWWVtAn15MH2IZYOp9qtWbOG1atXA3Drrbei0+kYOHCg/DyJekl+aoWoB0pLS0lMTCQpKalK88qgoCC0Wi2NGkmzxpp0ODWPtXuTAXixf8t6v/S7sLCQlStX0rFjR2699VYApkyZwqlTp4iJiaFz584WjlCIGyPJjRB1WHZ2ttq88lx5nKOjIxEREURERODk5GThCK3fuaXfigID2gbTSVt/l34nJSWxYMECli1bRl5eHv369WPDhg0AhIWF8cEHH1g4QiGqhyQ3QtQxlZWVpKSkYDAYqjSv9PHxITIyksDAQOk9Vou+OZzOnoQzONrZ8Ny99XPp965du9Dr9axbt06tz2ratCn9+/dHURQpOBdWR5IbIeqIwsJCtXnluVV3tra2hIaGotVqZddXCyitMDLn7NLvJ+5oTIhX/euPNGLECN577z31ds+ePYmJiaFv376SJAurJcmNEBakKAoZGRkYDIYqzStdXV3RarWEhYXJKhULWrnTQPKZEgI8HJlwZxNLh3NVcnJycHZ2Vi9Zdu/enY8++ohhw4YRExNDmzZtLByhEDVPkhshLKC8vJzExEQSExPVbew1Gg0BAQFotVp8fX3lUoGFnS4oZeF35q7fz/a5CReHuv3r8tixY8TFxREfH8+8efMYP348YJ65GThwIAEBARaOUIjaU7f/twphZXJycjAYDKSmpqrNKx0cHNTmlee2uBeW99Y3f1NUbqRtmBcD29XNpd+KorB9+3b0ej0bNmxQi863bNmiJjfOzs44O9e/y2lC3AhJboSoYUajUW1emZeXp457eXkRGRlJcHCw1D7UMYdS8vh4v3np98wBdXPp9+rVq5k3bx4HDx5Ux/r164dOp+Puu++2YGRCWJ4kN0LUkOLiYrV55bkdX21sbAgJCUGr1eLl5WXZAMVFnb/0+/52wXQIr5v94T766CMOHjyIi4sLI0eOZNq0aTRv3tzSYQlRJ0hyI0Q1UhSFzMxMtXnlOc7OzmrzSumgXLdtOpTOL4YzONnb8Gwd6fp96NAh4uLieOGFFwgPDwdgxowZ3H777YwfPx4fn/q7944QNUGSGyGqwaWaV/r5+REZGYm/v78UCNcDpRX/dP1+4o4mBFtw6bfJZGLz5s3o9Xq2bt0KmPc6ev311wFzd+7bbrvNYvEJUZfVyoX+RYsWodVqcXJyokuXLvzyyy+XPHbZsmXcfvvteHt74+3tTa9evS44/vHHH0ej0VT56NOnT02/DCEukJ+fz8GDB9myZQuHDx+mqKgIe3t7GjduzN13303Xrl2lK3c9snxHAqdySgjydGJCD8ss/S4qKuLtt9+mZcuW9OvXj61bt2JjY8PDDz/MAw88YJGYhKhvanzm5qOPPmL69OksWbKELl26EBsbS3R0NEePHsXf3/+C47dv386QIUO49dZbcXJy4vXXX6d3794cPnyYkJB/Viz06dOHlStXqrcdHR1r+qUIAZj/ok5LS8NgMFRpXunh4aE2r7S1tbVghOJ6nM4vZdH35q7fz917E84Otf89rKyspFWrViQmJgLmn6mxY8cyZcoUtFptrccjRH2lUc6tHawhXbp04ZZbbmHhwoWA+Y0hLCyMKVOm8Nxzz13x8UajEW9vbxYuXMiIESMA88xNbm4u69evv66Y8vPz8fT0JC8vT3Z9FVettLRULRAuKysDzHvTBAcHo9Vqpe6hnvu/Tw7yyf5TtA/3Yt2Tt9babNuhQ4do1aqV+nzTpk1jw4YNTJs2jVGjRuHu7l4rcQhRH1zt+3eNztyUl5ezf/9+ZsyYoY7Z2NjQq1cvdu3adVXnKC4upqKi4oI3ju3bt+Pv74+3tzd33303s2fPvmRn5LKyMvXNCKjSr0eIK8nKysJgMJCenq7uI+Lk5ERERATh4eHSvNIK/HEqj09/PQWYu37XdGJjNBpZv349sbGx7Nixgx07dtC9e3cA5syZw7x582T2T4gbUKPJTVZWFkaj8YKdMQMCAjhy5MhVnePZZ58lODiYXr16qWN9+vThwQcfJDIykhMnTvCf//yHe++9l127dl30F8LcuXOZNWvWjb0Y0aBUVlaqBcKFhYXqeKNGjdBqtdK80oooisKsrw6jKPBA+xDa1+DS7/z8fJYvX878+fMxGAwA2Nvb89tvv6nJjZubW409vxANRZ1eLfXaa6+xdu1atm/fXuWv48GDB6tft27dmjZt2tCkSRO2b99Oz549LzjPjBkzmD59uno7Pz+fsLCwmg1e1EsFBQUYDAZOnTpVpXllWFgYWq1WLhFYoY1/pLEvMQdne9saW/pdWFjI888/z4oVKygoKADMifKECROYOHEiwcHBNfK8QjRUNZrc+Pr6YmtrW2W/D4CMjAwCAwMv+9g333yT1157ja1bt16x0Vvjxo3x9fXl+PHjF01uHB0dpeBYXJLJZCI9PR2DwUB2drY67ubmpjavtLOr038HiOt0IDmXVzeal34/eWcTAj1r5hKjs7MzX331FQUFBbRs2ZKYmBiGDRsm7TaEqCE1+hvbwcGBjh07sm3bNgYOHAiY30i2bdvG5MmTL/m4//3vf8yZM4dvvvmGTp06XfF5Tp06RXZ2NkFBQdUVumgASktLSUpKIjExkdLSUsBcIBwYGKg2rxTW6fjpQt785iibD6cDEOrtzLjbG1fLucvLy/n4449Zs2YN69evx9HREVtbW/R6PY6OjvTu3Vu2BhCihtX4n6PTp09n5MiRdOrUic6dOxMbG0tRURGjRo0CzB1rQ0JCmDt3LgCvv/46L774Ih988AFarZb0dPMvHzc3N9zc3CgsLGTWrFk89NBDBAYGcuLECZ555hmioqKIjo6u6ZcjrEB2djYGg4G0tDS1QNjR0ZHw8HB1PyZhndLySojdcoxP9idjUsBGAw92COWp3s1ueOl3dnY2S5cuZeHChaSlpQHmrTDOrfK87777bjh+IcTVqfHkZtCgQWRmZvLiiy+Snp5Ou3bt2Lx5s1pknJSUVKUw8+2336a8vJyHH364ynlmzpzJSy+9hK2tLb///jurVq0iNzeX4OBgevfuzSuvvCKXnsQlVVZWkpKSQkJCglrzAOYdX7VaLUFBQVIgbMVyisp5+4cTxP9soLzS3I29d8sAno5uTrOAG6uj+uuvv4iLi2P16tWUlJQAEBgYyKRJk7j33ntvOHYhxLWr8X1u6iLZ56bhKCwsxGAwkJycXKVAOCQkhMjISPn+W7ni8kpW7Ehg6Q8nKSgzf/87R/rwbJ+b6Bhx46uiDAYDkZGR6u327duj0+kYNGiQ9BATogbUiX1uhLAERVHUAuGsrCx13NXVVS0Qtre3t2CEoqZVGE2s/SWJuG3HySo073HVIsiDZ/s0p0czv+uueSkpKWHPnj3ceeedAGi1Wnr37o2Liws6nY7bb79d6mmEqAMkuRFWo6ysjKSkJAwGQ5UC4YCAALVAWN54rJvJpPDV76nM2/I3idnFAIT7uPBU72YMaBOMjc31ff/T0tJYvHgxS5YsIS8vj6SkJHXF54YNGyRZFqKOkeRG1HtnzpxRC4RNJnM9hYODg1og7Oxsuc7OonYoisIPf2fyv81H+TPNvAO5r5sj03pGMeiWcBzsrq+e6sCBA+j1ej788EMqKioAiIiI4MSJE2pyI4mNEHWPJDeiXjIajWqB8PntNLy9vdFqtQQHB0uBcAPxa1IOr286wp4EcxNTd0c7nujRmNG3ReLicH2/4o4ePcqECRPYvn27Onbrrbei0+kYOHCg7HskRB0n/0NFvVJUVKQWCJ/7S9rGxkYtEPb09LRwhKK2HMso4I1vjvLtn+ZNQh3sbBjZLYKJd0bh7XpjxbyNGjVi9+7d2Nra8uijjxITE0Pnzp2rI2whRC2Q5EbUeYqicPr0aQwGA6dPn1bHXVxc1AJhWZnScKTklqDf8jfrfj2l7lXzSMcwpvVqSrDXtV+CTEpKYsGCBRw5coSvvvoKMO+uvmbNGjp37kxoaGh1vwQhRA2T5EbUWeXl5WrzyuLiYnXc398frVaLv7+/FAg3IGeKyln0/XHe25VIudFcW9WnVSBPRzcjyv/a96rZtWsXer2edevWYTQaAfjtt99o3749AA8++GD1BS+EqFWS3Ig6Jy8vj4SEBFJSUtQCYXt7e8LDw4mIiMDV1dXCEYraoCgKxeVGzhSV8/lvKbzz40kKz+5V061xI5699ybahXld0zkrKyv57LPP0Ov17NmzRx3v2bMnOp2Otm3bVudLEEJYiCQ3ok4wmUykpqZiMBjIyclRxz09PdFqtYSEhGBre2Pb4wvLKa80kVtcTk5xRZXPuSUV5BSXk1tUQW7JeePFFeQWV6gzNOe0Cvbg2T43cXvT61vWv379egYPHgyYV9QNGzaMmJiYKzbnFULUL5LcCIsqKSkhMTGRxMREysvLAXOBcFBQEJGRkXh73/gusqJ6VRhN5BSVk1VYTnZRGdmF5WQVlpkTkoskKDnF5RSXG6/7+RxsbWjs58qku6Lo1zromvaqOXbsGImJifTq1QuA+++/n44dO9K/f3+efPJJtQ2MEMK6SHIjLCIzMxODwUBGRobavNLJyQmtVkt4eLj0CatFiqKQX1pJdmEZ2UXlZBeWmROXs8lLlnrbfH9uccV1PY+NBjyd7fF2ccDLxR6vs5+9XRzwdrHH8+zn8+/3drHH2d72mmZpFEVh+/bt6PV6NmzYQGhoKCdOnMDe3h57e3v27t0rtVpCWDlJbkStqaio4NSpUxgMBgoLC9VxX19ftFotgYGB8qZTzcorTRw/XcjRjHxO55uTkyrJytkEpsJ4bS3mbDTg4+pAI1dHfN0d8HF1xPtcwuJsj7freV+7OODt4oC7k9117xB8NcrKyvjwww+JjY3l4MGD6nibNm04c+aMOksjP2NCWD9JbkSNy8/Px2AwcOrUKXVVip2dHWFhYWi1Wtzc3CwcoXXIK6ngr7R8/kzN58+zn4+dLrjqxMXd0Y5Gbg40cnOkkav5s6+bg/p1IzcHfM/e5+XigG0NJirXav369UyYMIGMDPOeNy4uLowcOZJp06bRvHlzC0cnhKhtktyIGmEymdTmldnZ2eq4u7s7Wq2W0NBQ2eX1OimKQmpeqTmJSc3ncGoef6blcyqn5KLHuzvZ0SLIg1Av5yrJi+/ZhOXcbSf7+lWwXVlZqf4MhYaGkpGRQUhICFOmTGHcuHH4+PhYOEIhhKXIu4uoVqWlpSQlJZGYmFileWVgYCCRkZE0atTIwhHWLxVG82Wl82dj/kzLJ6/k4nUvIV7OtAz2oGWQh/o51NvZai7FmEwmNm/ejF6vp0mTJixZsgSATp06sWnTJnr27Cm9noQQaJRz1ZwNSH5+Pp6enuTl5eHh4WHpcKxCdna22rzy3I+Uo6MjERERRERE4OTkZOEI67780gqOpBXwZ2oeh88mMccyCi9YDg1gZ6Mhyt9NTWBaBXvSMsgDTxfrfGMvKirivffeIzY2lqNHjwLg5uZGenq67HskRANyte/fMnMjrltlZSUpKSkYDIYqzSt9fHzQarUEBQVJ88qzTCaFrMIyUvNKScstUT+n5Z/9nFdKWl7pRR/r7mhHi3/NxjQNcMPRrn5dRroeKSkpLFy4kKVLl6r7H3l4eDB27FimTJkiiY0Q4qIkuRHX7FzzyqSkJCorzTvG2traqs0rG9psmMmkkF1UTnpeKal5JVWSlbS8ElJzS8nIL6XSdOVJ0mBPpyqXlVoFe1rVZaVrtXTpUl577TUAGjduzLRp0xg1ahTu7tfebkEI0XBIciOuiqIoZGRkYDAYyMzMVMddXV3V5pXWXOuQnlfKoZQ8c7KSV3W2JT2v9KKXjv7NRgMBHk4EejoR7OlMkKcTQV5nP3s6oW3kesPdrOszo9HI+vXrCQoK4tZbbwVg4sSJ/Pzzz0yePJkBAwbILtVCiKsiyY24rPLycpKSkjAYDJSU/LMaJyAgAK1Wi5+fn1XOKuSXVrD7RDY7j2ex43gWJzKLLnu8RgN+bo5nExVngrzOJjBeTuqYv7sjdrZyme7f8vPzWb58OfPnz8dgMNCzZ0+2bt0KQGBgoPq1EEJcLUluxEXl5uaSkJBAampqleaV5wqEXVxcLBxh9SqvNPFbUg47ziYzv5/Kw3jeZSQbDTQPNK88Cq4y42L+HODhhIOdJC7XIiEhgfnz57N8+XIKCgoAaNSoEd26dcNkMkm9lhDiuklyI1RGo1FtXpmbm6uOe3l5odVqCQ4OtprLAiaTwtGMAnVmZs/JM5RUVO1/1NjXle5RvnSP8qVb40ZWuxLJEmbMmMH//vc/NXFu0aIFMTExPPbYY1aXOAshap8kN4Li4mISExNJSkqq0rwyODiYyMhIvLy8LBtgNUnJLWHnMXMy8/OJLLIKy6vc7+vmoCYz3aN8CfFytlCk1qe8vByTyaRuCXDTTTdhMpno3bs3Op2O3r17y0yNEKLaSHLTQCmKQlZWFgkJCeqW9QDOzs5q80oHh/pd3JpXXMGuk+ZkZufxbBKyqtbNuDjY0iXSh+5RvtzW1JfmAe5WWT9kSdnZ2bzzzjssXLiQZ599lqlTpwIwePBgOnXqRKtWrSwcoRDCGskmfg1s2XJFRQXJyckYDAaKiv55s/fz80Or1RIQEFBv3+BLK4z8mphzNpnJ4o+UPM5ffW1ro6FdmJc5mYnypV2Yl9TJ1JAjR44QGxvL6tWr1UL07t27s2PHDgtHJoSoz2QTP1FFfn4+CQkJpKSkVGleGR4eTkREhEWbVxpNCoVllRSd/Sg47+vCMiOFpRUUlRspLKuksPTceKX6GPNnI2eKyi9Ykh3l78ZtZ5OZLo19cHeSupmatG3bNt566y02bdqkjrVv3x6dTsejjz5qwciEEA2JJDdWzGQykZaWhsFg4MyZM+q4h4cHWq2WkJCQWmlemZpbwvajmew8kUVWQRlF5eZkpOBsovLvQt4b4e/uyG3n1c0Eekrbh9q0ePFiNm3ahEaj4b777kOn03HHHXfU29lAIUT9JMmNFSotLSUxMZHExETKysoAc/PKoKAgIiMja7xbcoXRxD5DDtuPnmb70UyOZhRc1ePsbTW4Odrh6miH29kPV/WzLW6O9rg52prHnM6OO/zztaezfYPezbe2paens3jxYkaOHEmTJk0AePrppwkJCWHq1KlERUVZOEIhREMlyY0VycrKwmAwkJ6erjavdHJyIiIigvDw8BptXpmWV8IPRzP5/uhpdh7PprCsUr3PRgPtw73p0cyPSF9Xc+LidDYxOfe1o22D6JVkDQ4cOEBsbCwffvgh5eXl5OXlERcXB0C3bt3o1q2bhSMUQjR0ktzUc5WVlZw6dQqDwaBuhAbmzdC0Wi2BgYE1ssS2wmhif2IO249msv3oaY6kV52daeTqQI/mftzZ3J87mvri5VK/V141dCaTiQ0bNqDX69m+fbs63q1bN+6++27LBSaEEBchyU09VVhYSEJCAqdOnarSvDI0NBStVlsjq8Ay8kvVS007jmVRcN7sjEYD7cK8uKu5P3c29+PmYE9sbOTykDVQFIWuXbuyd+9ewPxz9sgjjxATE0OXLl0sHJ0QQlxIkpt6RFEU0tPTMRgMZGVlqeNubm5otVpCQ0OrtXllhdHEr4k5bP87k+1HM/krLb/K/T6uDvRo5sedzf24o6lfg276aG1SUlIIDg5Go9Gg0Wi48847OXbsGOPHj2fy5MmEhYVZOkQhhLgk2eemHuxzU1ZWpjavLC0tBcwFwuc3r6wup/NLzyYzp/npWBYFpVVnZ9qGenFncz/uau5P6xCZnbE2u3fvRq/X89lnn/HNN9/Qs2dPAHJycrC3t7folgFCCCH73FiBM2fOYDAYSEtLU3vwODg4qM0rnZ2vrz2AoihkFZZzMrOQhKwiTmYVcTKzkJOZ5q/P5+1if3Z2xp/bm/rSyM3xhl+XqFsqKytZt24der2e3bt3q+Pff/+9mtx4e3tbKjwhhLhmktzUMUajkZSUFBISEsjP/+cykLe3t9q88moLhEsrjObkJfNs8nJeInP+jMz5NBpoE+LJnWdrZ9qEemErszNWqby8nLi4OBYsWEBycjJgTp6HDh1KTEwMbdu2tXCEQghxfSS5qSOKioowGAwkJydTUVEBmJtXnisQ9vT0vOjjTCaF1LwSTmYWnU1kziYxmUWk5JZc8vk0GgjxcqaxnxuNfV1p7OdKY183WgS5y+xMA2Fvb8/KlStJTk7Gz8+PiRMn8uSTTxIQEGDp0IQQ4oZIclONjp8uwJBVXGXsYgVN58qcFEUhJzuTjJRkcnOy1fsdnZwJCA7DLzCENFt70pJLINmcqBSVVZKQZU5kTmQWYsguorTCdJFnMfNwsjMnMH6uNFETGTciGrngZC/7yjQUiqLwww8/sGzZMpYtW4aLiwsajYY5c+aQk5PD0KFDa3QfJCGEqE2S3FSjdb+msHj7iSsepxgrqMzPpDLvNEplmTpu6+KFnWcANi7OaI5lA9mXPsl57G01hPu4VJ2FOfu1j6uD7NjbgJWVlbF27VpiY2M5cOAAAHfccQdPPPEEAA888IAFoxNCiJohyU01CvJypl2Y10Xv02igvDif4ux0SouyUGxM4G2HrY0Tzj4BuDQKws7B6V+PuTApcbC1QevrShM/VyLPzsKEeTtjZyvdrcU/MjMzWbJkCYsXLyY9PR0AZ2dnHn/8cdl0Twhh9WplKfiiRYt44403SE9Pp23btixYsIDOnTtf8vhPPvmEF154AYPBQNOmTXn99dfp27ever+iKMycOZNly5aRm5tL9+7defvtt2natOlVxVObS8GNRiOpqakkJCSQl5enjnt5eakFwra2cnlIVJ+srCzCw8MpKTFfygwJCWHy5MmMHz++xvuKCSFETbra9+8a/3P/o48+Yvr06cycOZNff/2Vtm3bEh0dzenTpy96/M8//8yQIUMYM2YMv/32GwMHDmTgwIEcOnRIPeZ///sf8+fPZ8mSJezZswdXV1eio6PVPWDqguLiYv7880+2bNnCgQMHyMvLUwuEb7/9dm6//XbCwsIksRE3zGQy8dtvv6m3fX19ufvuu7nlllv44IMPSEhI4LnnnpPERgjRYNT4zE2XLl245ZZbWLhwIWD+RRwWFsaUKVN47rnnLjh+0KBBFBUVsWHDBnWsa9eutGvXjiVLlqAoCsHBwTz11FM8/fTTAOTl5REQEEB8fDyDBw++Ykw1NXOjKAqZmZkkJCRUSd6cnZ3RarWEh4fj4CC7+IrqUVxczOrVq4mLi+PYsWOcPHmS8PBwAAoKCnBzc5N6KyGEVakTm/iVl5ezf/9+ZsyYoY7Z2NjQq1cvdu3addHH7Nq1i+nTp1cZi46OZv369QAkJCSQnp5Or1691Ps9PT3p0qULu3btumhyU1ZWRlnZP4W75+8fU51+++03UlJS1Nt+fn5ERkbi7+8vbzKi2qSkpLBw4ULeeecdzpw5A4CHhwe///67mty4u7tbMkQhhLCoGk1usrKyMBqNF+ybERAQwJEjRy76mPT09Isef64o8tznyx3zb3PnzmXWrFnX9RquRWBgIKdPnyYsLAytVourq2uNP6doOFJSUnjmmWf4+OOP1WapkZGRTJs2jVGjRtWLViJCCFEbGsRqqRkzZlSZDcrPz6+Rxn+BgYEEBARIHY2oEW5ubnz55ZdUVlZy++23o9PpuO++++TnTQgh/qVGkxtfX19sbW3JyMioMp6RkUFgYOBFHxMYGHjZ4899zsjIICgoqMox7dq1u+g5HR0dcXSs+V13r7YtghBXkp+fz4oVK9i5cycff/wxGo0GT09P3n77bVq0aEHHjh0tHaIQQtRZNfpu7ODgQMeOHdm2bZs6ZjKZ2LZtG926dbvoY7p161bleIAtW7aox0dGRhIYGFjlmPz8fPbs2XPJcwpRXyQkJKDT6QgNDUWn0/Hpp5+yc+dO9f7HHntMEhshhLiCGr8sNX36dEaOHEmnTp3o3LkzsbGxFBUVMWrUKABGjBhBSEgIc+fOBWDatGn06NGDt956i379+rF27Vr27dvHO++8A5g3touJiWH27Nk0bdqUyMhIXnjhBYKDgxk4cGBNvxwhqp2iKOzYsQO9Xs8XX3yhdoC/6aabiImJoUOHDhaOUAgh6pcaT24GDRpEZmYmL774Iunp6bRr147NmzerBcFJSUlVLufceuutfPDBBzz//PP85z//oWnTpqxfv56bb75ZPeaZZ56hqKiI8ePHk5uby2233cbmzZulN46ol7777rsqq/969+6NTqejd+/ecqlTCCGuQ63sUFzX1OYOxUL825kzZ/jrr7/o3r07YN7Ful27dnTr1o1p06bRqlUrC0cohBB1U53Y50YI8Y8jR44QFxfHqlWr8PDwIDExEUdHR2xtbTlw4ICsehJCiGoic95C1CBFUdiyZQt9+/alRYsWLFmyhJKSEoKCgjh16pR6nCQ2QghRfWTmRoga8uOPPzJx4kQOHz4MmIvh77vvPnQ6HXfccYfsWi2EEDVEkhshqpGiKGrS4u3tzeHDh3Fzc2P06NFMmTKFqKgoC0cohBDWT5IbIarBgQMH0Ov1ODo6qtsWtG7dmrVr1xIdHY2Xl5dlAxRCiAZEVkvJailxnUwmExs2bECv17N9+3YA7O3tSU1NxdfX17LBCSGEFbra928pKBbiGhUWFrJw4UKaN2/O/fffz/bt27G1tWXw4MHs2LFDEhshhLAwuSwlxDVatGgRzz33HABeXl6MHz+eyZMn10gzViGEENdOkhshrmD37t0AdO3aFYCxY8fy4YcfMm7cOEaOHImbm5slwxNCCPEvktwIcRGVlZWsW7cOvV7P7t276d69Ozt27ACgUaNGHDhwwLIBCiGEuCRJboQ4T25uLsuWLWPBggUkJycD5u72TZs2paysDEdHRwtHKIQQ4kokuRHirPnz5/Of//yHoqIiAPz8/Jg4cSJPPvmk2uhVCCFE3SfJjWiwFEWhsrISe3t7AAICAigqKqJ169bExMQwdOhQ6TQvhBD1kCwFFw1OWVkZq1atokOHDuj1enX8oYceYtu2bRw8eJDRo0dLYiOEEPWUzNyIBiMzM5O3336bxYsXk5GRAUBJSQn/93//h0ajwc7OjrvvvtvCUQohhLhRktwIq3fo0CFiY2N5//33KSsrAyAkJIQpU6Ywbtw4aWAphBBWRpIbYfXmzp3LBx98AMAtt9yCTqfj4YcfVmtthBBCWBdJboRVKS4uZvXq1dx11100b94cAJ1OR1lZGTqdjltvvVVmaoQQwspJ40xpnGkVUlJSWLRoEUuXLuXMmTOMHz+epUuXWjosIYQQ1ehq379l5kbUa/v27SM2NpaPPvqIyspKACIjI2nfvr2FIxNCCGEpktyIeuuhhx5i3bp16u077riDmJgY7rvvPmxtbS0YmRBCCEuSfW5EvZGfn4/JZFJv33zzzdjZ2fHYY4+xb98+fvjhBx544AFJbIQQooGT5EbUeQkJCeh0OkJDQ/n666/V8WnTppGYmMh7771Hx44dLRihEEKIukSSG1EnKYrCjh07eOihh4iKiiI2NpaCgoIql6F8fHwIDg62YJRCCCHqIqm5EXWKyWRi7dq16PV69u3bp4737t0bnU5H7969LRidEEKI+kCSG1GnaDQa3njjDQ4cOICjoyPDhw8nJiaGVq1aWTo0IYQQ9YQkN8Kijhw5wuLFi5kzZw7u7u5oNBpeeOEF/vzzT5544gn8/PwsHaIQQoh6RpIbUesURWHr1q3o9Xo2bdoEQFRUFFOnTgXgwQcf5MEHH7RkiEIIIeoxSW5ErSktLWXNmjXExsZy6NAhwHwZ6r777qNz584Wjk4IIYS1kORG1IqioiKioqJIT08HwNXVldGjRzN16lSioqIsHJ0QQghrIsmNqDEGgwGtVguYk5lbb72Vffv2MWXKFMaOHYuXl5dF4xNCCGGdJLkR1cpkMrFhwwZiY2PZvn07f//9tzozs2TJEry9vbGzkx87IYQQNUfeZUS1KCwsJD4+nri4OI4fPw6Ara0tP/30k5rcyMonIYQQtUGSG3FDcnJymDt3LsuWLSM3NxcAT09Pxo8fz+TJkwkPD7dsgEIIIRocSW7EDbG3t1cTm6ioKGJiYhg5ciRubm6WDk0IIUQDJcmNuGqVlZWsW7eOjRs3Eh8fj0ajwc3NjTfffBN/f3/69euHjY20KxNCCGFZGkVRFEsHUdvy8/Px9PQkLy8PDw8PS4dT5+Xm5vLuu++yYMECkpKSANiyZQu9evWycGRCCCEakqt9/5aZG3FJx48fJy4ujpUrV1JUVASYi4KffPJJWrdubeHohBBCiIursWsIZ86cYdiwYXh4eODl5cWYMWMoLCy87PFTpkyhefPmODs7Ex4eztSpU8nLy6tynEajueBj7dq1NfUyGqz9+/fTrFkzFi5cSFFRETfffDPvvvsuSUlJzJo1i4CAAEuHKIQQQlxUjc3cDBs2jLS0NLZs2UJFRQWjRo1i/PjxfPDBBxc9PjU1ldTUVN58801atmxJYmIiEyZMIDU1lU8//bTKsStXrqRPnz7qbdkM7saVlZXx559/0r59ewA6dOhAy5YtiYiIQKfT0bNnTzQajYWjFEIIIa6sRmpu/vrrL1q2bMnevXvp1KkTAJs3b6Zv376cOnWK4ODgqzrPJ598wmOPPUZRUZG68ZtGo+Hzzz9n4MCB1x2f1Nz8IzMzkyVLlrB48WLKy8tJTk7GxcUFgOLiYvVrIYQQwtKu9v27Ri5L7dq1Cy8vLzWxAejVqxc2Njbs2bPnqs9zLvh/72g7adIkfH196dy5MytWrKAB1kTfsMOHDzNu3DjCw8N58cUXSU9Px9nZmb///ls9RhIbIYQQ9VGNXJZKT0/H39+/6hPZ2eHj46M2TrySrKwsXnnlFcaPH19l/OWXX+buu+/GxcWFb7/9lokTJ1JYWMjUqVMvea6ysjLKysrU2/n5+dfwaqzLH3/8wVNPPcWWLVvUsU6dOqHT6XjkkUewt7e3YHRCCCHEjbum5Oa5557j9ddfv+wxf/311w0FBObko1+/frRs2ZKXXnqpyn0vvPCC+nX79u0pKirijTfeuGxyM3fuXGbNmnXDcVkDBwcHtmzZgo2NDQMHDkSn09G9e3eppxFCCGE1rqnmJjMzk+zs7Mse07hxY95//32eeuopcnJy1PHKykqcnJz45JNPeOCBBy75+IKCAqKjo3FxcWHDhg04OTld9vk2btxI//79KS0txdHR8aLHXGzmJiwszOprblJTU1m0aBE5OTksXrxYHX/nnXe45557iIyMtGB0QgghxLWpkX1u/Pz8rqr5Ybdu3cjNzWX//v107NgRgO+++w6TyUSXLl0uG3R0dDSOjo58+eWXV0xsAA4cOIC3t/clExsAR0fHy95vbfbv309sbCwfffQRFRUV2Nra8txzz6l9nv59qU8IIYSwJjVSc9OiRQv69OnDuHHjWLJkCRUVFUyePJnBgwerK6VSUlLo2bMnq1evpnPnzuTn59O7d2+Ki4t5//33yc/PV2tj/Pz8sLW15auvviIjI4OuXbvi5OTEli1bePXVV3n66adr4mXUK0ajkS+//BK9Xs9PP/2kjt9+++3odDpCQkIsGJ0QQghRe2psn5s1a9YwefJkevbsiY2NDQ899BDz589X76+oqODo0aMUFxcD8Ouvv6orqaKioqqcKyEhAa1Wi729PYsWLUKn06EoClFRUcybN49x48bV1MuoN9555x0mTpwImIu3Bw0ahE6nU2fOhBBCiIZCekvV05obg8FAVlaWutw+Ly+Ptm3bMnToUCZNmiQzNUIIIayO9JayQoqisHPnTmJjY/n888/p0KEDv/zyCxqNBk9PT06ePClduYUQQjR4ktzUA+Xl5XzyySfExsayb98+ddzHx4eCggI1e5XERgghhJDkps5bu3YtTz31FKmpqYB55dfw4cOJiYmhVatWFo5OCCGEqHskuamDFEVRN9VzdnYmNTWVwMBAJk2axBNPPHFVy/GFEEKIhkquY9QRiqKwdetW+vXrx6uvvqqO9+/fn7Vr12IwGHj++eclsRFCCCGuQFZLWXi1VGlpKWvWrCE2NpZDhw4BEBQURFJS0gUNQ4UQQoiGTFZL1XHp6em8/fbbvP3222RmZgLg6urK6NGjmTJliiQ2QgghxHWSd1ALeeGFF3j33XcBCA8PZ8qUKYwdOxYvLy/LBiaEEELUc5Lc1AKTycTGjRuJioqiRYsWAEybNo3Dhw+j0+l44IEHZKZGCCGEqCbyjlqDCgsLiY+PJy4ujuPHjzNixAhWrVoFwM0338zPP/9s4QiFEEII6yPJTQ1ITk5mwYIFLFu2jNzcXAA8PT0JCwuzbGBCCCFEAyDJTTWLiYlh4cKFGI1GwNwENCYmhpEjR+Lm5mbh6IQQQgjrJ8lNNfP398doNHL33XcTExNDv379pC2CEEIIUYtkn5tq3ufmzJkzJCcn07Zt22o9rxBCCNHQyT43FuLj44OPj4+lwxBCCCEaLLleIoQQQgirIsmNEEIIIayKJDdCCCGEsCqS3AghhBDCqkhyI4QQQgirIsmNEEIIIayKJDdCCCGEsCqS3AghhBDCqkhyI4QQQgirIsmNEEIIIayKJDdCCCGEsCqS3AghhBDCqkhyI4QQQgir0iC7giuKAphbpwshhBCifjj3vn3uffxSGmRyU1BQAEBYWJiFIxFCCCHEtSooKMDT0/OS92uUK6U/VshkMpGamoq7uzsajaZaz52fn09YWBjJycl4eHhU67lrmsRuOfU5/vocO9Tv+Otz7FC/46/PsUP9jV9RFAoKCggODsbG5tKVNQ1y5sbGxobQ0NAafQ4PD4969QNzPondcupz/PU5dqjf8dfn2KF+x1+fY4f6Gf/lZmzOkYJiIYQQQlgVSW6EEEIIYVUkualmjo6OzJw5E0dHR0uHcs0kdsupz/HX59ihfsdfn2OH+h1/fY4d6n/8V9IgC4qFEEIIYb1k5kYIIYQQVkWSGyGEEEJYFUluhBBCCGFVJLkRQgghhFWR5OZffvzxRwYMGEBwcDAajYb169dXuT8jI4PHH3+c4OBgXFxc6NOnD8eOHatyzJ133olGo6nyMWHChAueKz4+njZt2uDk5IS/vz+TJk2qN/Hv3buXnj174uXlhbe3N9HR0Rw8eNDisQPs2rWLu+++G1dXVzw8PLjjjjsoKSlR7z9z5gzDhg3Dw8MDLy8vxowZQ2Fh4Q3FXlvxGwwGxowZQ2RkJM7OzjRp0oSZM2dSXl5e52M/X1lZGe3atUOj0XDgwIEbir2249+4cSNdunTB2dkZb29vBg4cWC9i//vvv7n//vvx9fXFw8OD2267je+///6GYq+O+A0GwwW/b859fPLJJ+pxSUlJ9OvXDxcXF/z9/fm///s/Kisr63zsBw8eZMiQIYSFheHs7EyLFi2Ii4u7obhrM/7zZWdnExoaikajITc3t1peQ02R5OZfioqKaNu2LYsWLbrgPkVRGDhwICdPnuSLL77gt99+IyIigl69elFUVFTl2HHjxpGWlqZ+/O9//6ty/7x58/jvf//Lc889x+HDh9m6dSvR0dH1Iv7CwkL69OlDeHg4e/bsYceOHbi7uxMdHU1FRYVFY9+1axd9+vShd+/e/PLLL+zdu5fJkydX2aZ72LBhHD58mC1btrBhwwZ+/PFHxo8ff91x12b8R44cwWQysXTpUg4fPoxer2fJkiX85z//qfOxn++ZZ54hODj4hmK2RPyfffYZw4cPZ9SoURw8eJCdO3cydOjQehF7//79qays5LvvvmP//v20bduW/v37k56ebtH4w8LCqvyuSUtLY9asWbi5uXHvvfcCYDQa6devH+Xl5fz888+sWrWK+Ph4XnzxxTof+/79+/H39+f999/n8OHD/Pe//2XGjBksXLjwhmKvrfjPN2bMGNq0aXPDcdcKRVwSoHz++efq7aNHjyqAcujQIXXMaDQqfn5+yrJly9SxHj16KNOmTbvkec+cOaM4OzsrW7durYmwVTUV/969exVASUpK+v/27j+kqvuP4/jrnnS3oq51vdc0nZa5bvZz7bZKBZsZphBFjTWESJY0cP+sqMEEISiiiFHUH5aRk7RarQYFYbckg1IuLn/cddPWdOhKa9m0LLrLH7uv7x9xL16zsW/33OtJ3g/wj/s5R8/T2z329tx7y7t269YtAmBzc/OIti9ZsoQFBQVv/LpNTU0EwJs3b3rXLl26RJ1Ox46ODlXaA9k/nH379nH69Ol+N3sEur28vJyzZs1iY2MjAbChoUG1djJw/f39/YyOjuaxY8dU7R0sUO2PHz8mAF6/ft279uzZMwJgRUXFiPcP9eGHH3LTpk3e2+Xl5VQUhX/++ad37fDhwzQYDOzt7dV0+3C++uorpqWl+d08WKD7CwsLuWzZMl69epUA+OTJEzXzVSdXbv4Pvb29AICxY8d61xRFgV6vR1VVlc++J0+ehMlkwty5c5Gfnw+Xy+XdVlFRAbfbjY6ODiQmJiImJgbr16/H/fv334l+i8WC8PBwFBcXo6+vD3///TeKi4uRmJiIadOmjVh7Z2cnampqEBERgeTkZEyZMgXLli3z+d7sdjsmTZqERYsWeddWrFgBRVFQU1MTkHY1+4fT09MDo9H4TrQ/evQImzdvRllZGcaPHx+w5kD019fXo6OjA4qiYOHChYiKikJWVhZu376t+fbw8HBYLBaUlpbixYsXGBgYQFFRESIiImC1Wke0f6i6ujo4HA7k5uZ61+x2O+bNm4cpU6Z411auXIlnz56hsbFR0+3DCfQ5C6jb39TUhJ07d6K0tPRf/7NKTRnp6UrLMGQS7uvrY2xsLD/77DN2d3ezt7eXe/fuJQBmZGR49ysqKqLNZuOtW7d44sQJRkdHc+3atd7te/bsYWhoKC0WC202G+12O9PT02mxWFT7LSSQ/STpdDo5Y8YMKopCRVFosVjY1tY2ou12u50AaDQa+f3337O+vp5btmzhe++9x99++40kuXv3bs6cOfO145nNZhYWFmq+f6jm5mYaDAYePXpU8+1ut5uZmZnctWsXSbK1tTUoV27U6v/hhx8IgLGxsTx37hxra2uZnZ3N8PBwdnV1abqdJO/fv0+r1UqdTscxY8YwKiqK9fX1qnT70z9UXl4eExMTfdY2b9782v4vXrwgAJaXl2u6fajq6mqGhITw8uXLqnR7BKr/5cuXnD9/PsvKykiS165deyeu3Mhw8y+GPlhIsra2lgsWLCAAjhkzhitXrmRWVhYzMzPf+HU8l/FaWlpIvvoLFoDPg7uzs5OKotBms2m+3+VycfHixdy4cSN//vln2u12fvrpp5wzZw5dLteItVdXVxMA8/PzfT5v3rx5/Pbbb0mO3HCjVv9g7e3tnDFjBnNzc1XrDmT7wYMHmZKSwoGBAZLBG27U6j958iQBsKioyLv95cuXNJlMPHLkiKbb3W43V69ezaysLFZVVbGuro55eXmMjo7mgwcPVGl/2/7BXC4Xw8LC+N133/msj8Rwo1b7YE6nkyaTyTvgqylQ/Vu3buXnn3/uvf2uDDfvyPUl7bBarXA4HHj69CkePnwIm82Grq4uxMfHv/FzlixZAgBoaWkBAERFRQEAZs+e7d3HbDbDZDLh3r17AaxXp//UqVNoa2tDSUkJPv74YyxduhSnTp1Ca2srLly4MGLtw92vAJCYmOi9XyMjI9HZ2emzfWBgAN3d3YiMjAxYu1r9Hg8ePEBaWhqSk5Nx9OjRgHar1V5ZWQm73Q69Xo+QkBAkJCQAABYtWoScnBzN9w+3j16vR3x8fEDPW7Xu+4sXL+L06dNISUnBRx99hMLCQowbNw7Hjx8PWPt/6R/s3LlzcLlc2Lhxo896ZGQkHj165LPmuR3I81aNdo+mpiakp6fjyy+/REFBQcCaB1Ojv7KyEmfPnkVISAhCQkKQnp4OADCZTNixY0dQvo+3IcPNWwoLC4PZbEZzczNqa2uxZs2aN+7reaur54dQSkoKAODu3bvefbq7u/HXX38hLi4ucNGD+NPvcrmgKAp0Op13H89tt9sd0G7gze3Tpk3D1KlTfe5X4NVbYD33a1JSEp4+fYq6ujrv9srKSrjdbu8Qp+V+AOjo6MAnn3wCq9WKkpKSoD4H7k/7oUOH8Msvv8DhcMDhcKC8vBwAcObMGezevVvz/VarFXq93mef/v5+tLW1BeW89afd85q5oY8VRVGCcs4C/+1nTnFxMVavXg2z2eyznpSUBKfT6fOLSUVFBQwGw2tDndbaAaCxsRFpaWnIyckJ2mN9MH/6f/rpJ5/z9tixYwCAGzduqPLPlwTMSF860prnz5+zoaGBDQ0NBMD9+/ezoaGBf/zxB0nyxx9/5LVr1/j777/z/PnzjIuL47p167yf39LSwp07d7K2tpatra28cOEC4+PjmZqa6nOcNWvWcM6cOayurqbT6eSqVas4e/Zs9vX1ab7/zp071Ov1zMvLY1NTE2/fvs0NGzYwLCzMr0vc/raT5IEDB2gwGHj27Fk2NzezoKCAY8eO9T6lRpKZmZlcuHAha2pqWFVVxQ8++IDZ2dlv3R3M/vb2diYkJDA9PZ3t7e18+PCh90Pr7UOp+bRUsPq//vprRkdH8/Lly/z111+Zm5vLiIgIdnd3a7r98ePHDA8P57p16+hwOHj37l1u376doaGhdDgcb92uVj/56vVjOp2Oly5dem3bwMAA586dy4yMDDocDtpsNprN5teeitNiu9PppNls5oYNG3zO187OTr/ag9U/1LvytJQMN0N4/uCGfuTk5JB89bqBmJgYhoaGMjY2lgUFBT4vAr537x5TU1NpNBqp1+uZkJDAb775hj09PT7H6enp4aZNmzhp0iQajUauXbvW563VWu+/cuUKU1JSGBYWxsmTJ3P58uW02+0j2u6xZ88exsTEcPz48UxKSuKNGzd8tnd1dTE7O5sTJkygwWDgF198wefPn/vVHqz+kpKSYY/h7+8pwbrvB1NzuAlWf19fH7dt28aIiAhOnDiRK1as8HmrrZbbb968yYyMDBqNRk6cOJFLly5V5fUqavXn5+fz/fff5z///DPscdra2piVlcVx48bRZDJx27Zt7O/v13z7jh07hj1GXFycX+3B6n/TMbU+3OhI8i0v+gghhBBCaI685kYIIYQQo4oMN0IIIYQYVWS4EUIIIcSoIsONEEIIIUYVGW6EEEIIMarIcCOEEEKIUUWGGyGEEEKMKjLcCCGEEGJUkeFGCCGEEKOKDDdCCCGEGFVkuBFCCCHEqCLDjRBCCCFGlf8BhvE/NcPJyfYAAAAASUVORK5CYII=\n", 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" ] }, "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": "2022-11-02T17:06:38.050255Z", "iopub.status.busy": "2022-11-02T17:06:38.049076Z", "iopub.status.idle": "2022-11-02T17:06:38.254291Z", "shell.execute_reply": "2022-11-02T17:06:38.253579Z" } }, "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": "2022-11-02T17:06:38.260835Z", "iopub.status.busy": "2022-11-02T17:06:38.259661Z", "iopub.status.idle": "2022-11-02T17:06:38.293320Z", "shell.execute_reply": "2022-11-02T17:06:38.292718Z" } }, "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": "2022-11-02T17:06:38.298289Z", "iopub.status.busy": "2022-11-02T17:06:38.297136Z", "iopub.status.idle": "2022-11-02T17:06:38.562440Z", "shell.execute_reply": "2022-11-02T17:06:38.561781Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:06:38.567394Z", "iopub.status.busy": "2022-11-02T17:06:38.566255Z", "iopub.status.idle": "2022-11-02T17:06:38.591049Z", "shell.execute_reply": "2022-11-02T17:06:38.590447Z" } }, "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: Wed, 02 Nov 2022 R-squared: 0.813\n", "Time: 17:06:38 AIC -1381.769\n", "Sample: 01-01-1970 BIC -1375.871\n", " - 01-01-2005 HQIC -1379.372\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": "2022-11-02T17:06:38.595746Z", "iopub.status.busy": "2022-11-02T17:06:38.594626Z", "iopub.status.idle": "2022-11-02T17:06:39.128164Z", "shell.execute_reply": "2022-11-02T17:06:39.127514Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:06:39.133178Z", "iopub.status.busy": "2022-11-02T17:06:39.132047Z", "iopub.status.idle": "2022-11-02T17:06:39.513676Z", "shell.execute_reply": "2022-11-02T17:06:39.513041Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:06:39.518703Z", "iopub.status.busy": "2022-11-02T17:06:39.517539Z", "iopub.status.idle": "2022-11-02T17:06:39.903927Z", "shell.execute_reply": "2022-11-02T17:06:39.903151Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:06:39.912001Z", "iopub.status.busy": "2022-11-02T17:06:39.910198Z", "iopub.status.idle": "2022-11-02T17:06:39.953529Z", "shell.execute_reply": "2022-11-02T17:06:39.952916Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -144.004\n", "Date: Wed, 02 Nov 2022 R-squared: 0.989\n", "Time: 17:06:39 AIC 296.008\n", "Sample: 01-01-1951 BIC 300.883\n", " - 01-01-1975 HQIC 297.360\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "const -4839.4893 2412.410 -2.006 0.045 -9567.726 -111.253\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 9847.002 1.25e+04\n", "ALUMPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INVENTORYINDEX 241.3447 2298.951 0.105 0.916 -4264.516 4747.205\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", "[2] Covariance matrix is singular or near-singular, with condition number 1.05e+17. Standard errors may be unstable.\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": "2022-11-02T17:06:39.959908Z", "iopub.status.busy": "2022-11-02T17:06:39.957626Z", "iopub.status.idle": "2022-11-02T17:06:40.014407Z", "shell.execute_reply": "2022-11-02T17:06:40.013808Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==============================================================================\n", "Dep. Variable: WORLDCONSUMPTION No. Observations: 25\n", "Model: RecursiveLS Log Likelihood -144.004\n", "Date: Wed, 02 Nov 2022 R-squared: 0.989\n", "Time: 17:06:39 AIC 296.008\n", "Sample: 01-01-1951 BIC 300.883\n", " - 01-01-1975 HQIC 297.360\n", "Covariance Type: nonrobust Scale 137155.014\n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------------------------\n", "Intercept -4839.4893 2412.410 -2.006 0.045 -9567.726 -111.253\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 9847.002 1.25e+04\n", "ALUMPRICE 5.9797 12.704 0.471 0.638 -18.921 30.880\n", "INVENTORYINDEX 241.3447 2298.951 0.105 0.916 -4264.516 4747.205\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", "[2] Covariance matrix is singular or near-singular, with condition number 1.05e+17. Standard errors may be unstable.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/tsa/base/tsa_model.py:471: 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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }