{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Sunspots data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:18.290310Z", "iopub.status.busy": "2026-07-25T23:41:18.290049Z", "iopub.status.idle": "2026-07-25T23:41:19.000355Z", "shell.execute_reply": "2026-07-25T23:41:18.999262Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:19.003131Z", "iopub.status.busy": "2026-07-25T23:41:19.002735Z", "iopub.status.idle": "2026-07-25T23:41:20.664421Z", "shell.execute_reply": "2026-07-25T23:41:20.661908Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "from scipy import stats\n", "from statsmodels.tsa.arima.model import ARIMA" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:20.667344Z", "iopub.status.busy": "2026-07-25T23:41:20.666900Z", "iopub.status.idle": "2026-07-25T23:41:20.672118Z", "shell.execute_reply": "2026-07-25T23:41:20.670768Z" } }, "outputs": [], "source": [ "from statsmodels.graphics.api import qqplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sunspots Data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:20.674964Z", "iopub.status.busy": "2026-07-25T23:41:20.674637Z", "iopub.status.idle": "2026-07-25T23:41:20.681480Z", "shell.execute_reply": "2026-07-25T23:41:20.679908Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "::\n", "\n", " Number of Observations - 309 (Annual 1700 - 2008)\n", " Number of Variables - 1\n", " Variable name definitions::\n", "\n", " SUNACTIVITY - Number of sunspots for each year\n", "\n", " The data file contains a 'YEAR' variable that is not returned by load.\n", "\n" ] } ], "source": [ "print(sm.datasets.sunspots.NOTE)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:20.684134Z", "iopub.status.busy": "2026-07-25T23:41:20.683869Z", "iopub.status.idle": "2026-07-25T23:41:20.692540Z", "shell.execute_reply": "2026-07-25T23:41:20.690877Z" } }, "outputs": [], "source": [ "dta = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:20.695266Z", "iopub.status.busy": "2026-07-25T23:41:20.695002Z", "iopub.status.idle": "2026-07-25T23:41:20.708377Z", "shell.execute_reply": "2026-07-25T23:41:20.706592Z" } }, "outputs": [], "source": [ "dta.index = pd.Index(sm.tsa.datetools.dates_from_range(\"1700\", \"2008\"))\n", "dta.index.freq = dta.index.inferred_freq\n", "del dta[\"YEAR\"]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:20.711078Z", "iopub.status.busy": "2026-07-25T23:41:20.710814Z", "iopub.status.idle": "2026-07-25T23:41:21.061970Z", "shell.execute_reply": "2026-07-25T23:41:21.061385Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dta.plot(figsize=(12, 8))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:21.067559Z", "iopub.status.busy": "2026-07-25T23:41:21.067290Z", "iopub.status.idle": "2026-07-25T23:41:21.521335Z", "shell.execute_reply": "2026-07-25T23:41:21.520462Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:21.524173Z", "iopub.status.busy": "2026-07-25T23:41:21.523909Z", "iopub.status.idle": "2026-07-25T23:41:21.730937Z", "shell.execute_reply": "2026-07-25T23:41:21.729217Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.746198\n", "ar.L1 1.390633\n", "ar.L2 -0.688573\n", "sigma2 274.727181\n", "dtype: float64\n" ] } ], "source": [ "arma_mod20 = ARIMA(dta, order=(2, 0, 0)).fit()\n", "print(arma_mod20.params)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:21.733779Z", "iopub.status.busy": "2026-07-25T23:41:21.733475Z", "iopub.status.idle": "2026-07-25T23:41:22.276879Z", "shell.execute_reply": "2026-07-25T23:41:22.274564Z" } }, "outputs": [], "source": [ "arma_mod30 = ARIMA(dta, order=(3, 0, 0)).fit()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.280269Z", "iopub.status.busy": "2026-07-25T23:41:22.280053Z", "iopub.status.idle": "2026-07-25T23:41:22.286987Z", "shell.execute_reply": "2026-07-25T23:41:22.284981Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2622.6370933008184 2637.570458408409 2628.6074811460644\n" ] } ], "source": [ "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.293796Z", "iopub.status.busy": "2026-07-25T23:41:22.293555Z", "iopub.status.idle": "2026-07-25T23:41:22.298842Z", "shell.execute_reply": "2026-07-25T23:41:22.297754Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.751912\n", "ar.L1 1.300818\n", "ar.L2 -0.508102\n", "ar.L3 -0.129644\n", "sigma2 270.101140\n", "dtype: float64\n" ] } ], "source": [ "print(arma_mod30.params)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.300724Z", "iopub.status.busy": "2026-07-25T23:41:22.300506Z", "iopub.status.idle": "2026-07-25T23:41:22.305971Z", "shell.execute_reply": "2026-07-25T23:41:22.304803Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2619.4036292456663 2638.070335630155 2626.8666140522237\n" ] } ], "source": [ "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Does our model obey the theory?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.307850Z", "iopub.status.busy": "2026-07-25T23:41:22.307625Z", "iopub.status.idle": "2026-07-25T23:41:22.314658Z", "shell.execute_reply": "2026-07-25T23:41:22.313428Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.9564953616090044)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.stats.durbin_watson(arma_mod30.resid.values)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.316663Z", "iopub.status.busy": "2026-07-25T23:41:22.316468Z", "iopub.status.idle": "2026-07-25T23:41:22.595276Z", "shell.execute_reply": "2026-07-25T23:41:22.593489Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax = arma_mod30.resid.plot(ax=ax)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.597910Z", "iopub.status.busy": "2026-07-25T23:41:22.597608Z", "iopub.status.idle": "2026-07-25T23:41:22.603369Z", "shell.execute_reply": "2026-07-25T23:41:22.601911Z" } }, "outputs": [], "source": [ "resid = arma_mod30.resid" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.605881Z", "iopub.status.busy": "2026-07-25T23:41:22.605596Z", "iopub.status.idle": "2026-07-25T23:41:22.615580Z", "shell.execute_reply": "2026-07-25T23:41:22.614132Z" } }, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=np.float64(49.84393218864976), pvalue=np.float64(1.5015079882540628e-11))" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.normaltest(resid)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.618127Z", "iopub.status.busy": "2026-07-25T23:41:22.617893Z", "iopub.status.idle": "2026-07-25T23:41:22.839562Z", "shell.execute_reply": "2026-07-25T23:41:22.837999Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "fig = qqplot(resid, line=\"q\", ax=ax, fit=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:22.841788Z", "iopub.status.busy": "2026-07-25T23:41:22.841508Z", "iopub.status.idle": "2026-07-25T23:41:23.357571Z", "shell.execute_reply": "2026-07-25T23:41:23.355922Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(resid.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.360249Z", "iopub.status.busy": "2026-07-25T23:41:23.359958Z", "iopub.status.idle": "2026-07-25T23:41:23.367747Z", "shell.execute_reply": "2026-07-25T23:41:23.366120Z" } }, "outputs": [], "source": [ "r, q, p = sm.tsa.acf(resid.values.squeeze(), fft=True, qstat=True)\n", "data = np.c_[np.arange(1, 25), r[1:], q, p]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.370454Z", "iopub.status.busy": "2026-07-25T23:41:23.370178Z", "iopub.status.idle": "2026-07-25T23:41:23.385216Z", "shell.execute_reply": "2026-07-25T23:41:23.383574Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 0.009170 0.026239 8.713184e-01\n", "2.0 0.041793 0.572982 7.508939e-01\n", "3.0 -0.001338 0.573544 9.024612e-01\n", "4.0 0.136086 6.408642 1.706385e-01\n", "5.0 0.092465 9.111351 1.047043e-01\n", "6.0 0.091947 11.792661 6.675737e-02\n", "7.0 0.068747 13.296552 6.520425e-02\n", "8.0 -0.015022 13.368601 9.978086e-02\n", "9.0 0.187590 24.641072 3.394963e-03\n", "10.0 0.213715 39.320758 2.230588e-05\n", "11.0 0.201079 52.359565 2.346490e-07\n", "12.0 0.117180 56.802479 8.580351e-08\n", "13.0 -0.014057 56.866630 1.895209e-07\n", "14.0 0.015398 56.943864 4.000370e-07\n", "15.0 -0.024969 57.147642 7.746546e-07\n", "16.0 0.080916 59.295052 6.876728e-07\n", "17.0 0.041138 59.852008 1.111674e-06\n", "18.0 -0.052022 60.745723 1.549418e-06\n", "19.0 0.062496 62.040010 1.832778e-06\n", "20.0 -0.010303 62.075305 3.383285e-06\n", "21.0 0.074453 63.924941 3.195540e-06\n", "22.0 0.124954 69.152954 8.984238e-07\n", "23.0 0.093162 72.069214 5.803579e-07\n", "24.0 -0.082152 74.344911 4.716006e-07\n" ] } ], "source": [ "table = pd.DataFrame(data, columns=[\"lag\", \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index(\"lag\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* This indicates a lack of fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* In-sample dynamic prediction. How good does our model do?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.388048Z", "iopub.status.busy": "2026-07-25T23:41:23.387765Z", "iopub.status.idle": "2026-07-25T23:41:23.414811Z", "shell.execute_reply": "2026-07-25T23:41:23.413058Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1990-12-31 167.048337\n", "1991-12-31 140.995022\n", "1992-12-31 94.862115\n", "1993-12-31 46.864439\n", "1994-12-31 11.246106\n", "1995-12-31 -4.718265\n", "1996-12-31 -1.164628\n", "1997-12-31 16.187246\n", "1998-12-31 39.022948\n", "1999-12-31 59.450799\n", "2000-12-31 72.171269\n", "2001-12-31 75.378329\n", "2002-12-31 70.438480\n", "2003-12-31 60.733987\n", "2004-12-31 50.204383\n", "2005-12-31 42.078584\n", "2006-12-31 38.116648\n", "2007-12-31 38.456730\n", "2008-12-31 41.965644\n", "2009-12-31 46.870948\n", "2010-12-31 51.424878\n", "2011-12-31 54.401403\n", "2012-12-31 55.323515\n", "Freq: YE-DEC, Name: predicted_mean, dtype: float64\n" ] } ], "source": [ "predict_sunspots = arma_mod30.predict(\"1990\", \"2012\", dynamic=True)\n", "print(predict_sunspots)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.417623Z", "iopub.status.busy": "2026-07-25T23:41:23.417347Z", "iopub.status.idle": "2026-07-25T23:41:23.423065Z", "shell.execute_reply": "2026-07-25T23:41:23.421517Z" } }, "outputs": [], "source": [ "def mean_forecast_err(y, yhat):\n", " return y.sub(yhat).mean()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.425408Z", "iopub.status.busy": "2026-07-25T23:41:23.425144Z", "iopub.status.idle": "2026-07-25T23:41:23.435637Z", "shell.execute_reply": "2026-07-25T23:41:23.433987Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(5.634832966885551)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: Can you obtain a better fit for the Sunspots model? (Hint: sm.tsa.AR has a method select_order)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulated ARMA(4,1): Model Identification is Difficult" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.438232Z", "iopub.status.busy": "2026-07-25T23:41:23.437965Z", "iopub.status.idle": "2026-07-25T23:41:23.443435Z", "shell.execute_reply": "2026-07-25T23:41:23.442672Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.arima_process import ArmaProcess" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.447000Z", "iopub.status.busy": "2026-07-25T23:41:23.446728Z", "iopub.status.idle": "2026-07-25T23:41:23.454179Z", "shell.execute_reply": "2026-07-25T23:41:23.452624Z" } }, "outputs": [], "source": [ "np.random.seed(1234)\n", "# include zero-th lag\n", "arparams = np.array([1, 0.75, -0.65, -0.55, 0.9])\n", "maparams = np.array([1, 0.65])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make sure this model is estimable." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.456859Z", "iopub.status.busy": "2026-07-25T23:41:23.456567Z", "iopub.status.idle": "2026-07-25T23:41:23.462116Z", "shell.execute_reply": "2026-07-25T23:41:23.460629Z" } }, "outputs": [], "source": [ "arma_t = ArmaProcess(arparams, maparams)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.464790Z", "iopub.status.busy": "2026-07-25T23:41:23.464503Z", "iopub.status.idle": "2026-07-25T23:41:23.472789Z", "shell.execute_reply": "2026-07-25T23:41:23.471252Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arma_t.isinvertible" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.475307Z", "iopub.status.busy": "2026-07-25T23:41:23.475058Z", "iopub.status.idle": "2026-07-25T23:41:23.485141Z", "shell.execute_reply": "2026-07-25T23:41:23.483343Z" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arma_t.isstationary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* What does this mean?" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.488444Z", "iopub.status.busy": "2026-07-25T23:41:23.487308Z", "iopub.status.idle": "2026-07-25T23:41:23.685568Z", "shell.execute_reply": "2026-07-25T23:41:23.683869Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(arma_t.generate_sample(nsample=50))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.688319Z", "iopub.status.busy": "2026-07-25T23:41:23.688080Z", "iopub.status.idle": "2026-07-25T23:41:23.696726Z", "shell.execute_reply": "2026-07-25T23:41:23.695527Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arparams = np.array([1, 0.35, -0.15, 0.55, 0.1])\n", "maparams = np.array([1, 0.65])\n", "arma_t = ArmaProcess(arparams, maparams)\n", "arma_t.isstationary" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.699570Z", "iopub.status.busy": "2026-07-25T23:41:23.698739Z", "iopub.status.idle": "2026-07-25T23:41:23.706447Z", "shell.execute_reply": "2026-07-25T23:41:23.702831Z" } }, "outputs": [], "source": [ "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:23.709893Z", "iopub.status.busy": "2026-07-25T23:41:23.708902Z", "iopub.status.idle": "2026-07-25T23:41:24.260129Z", "shell.execute_reply": "2026-07-25T23:41:24.256857Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+oAAAKoCAYAAADgeQUBAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjExLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvctoD+AAAAAlwSFlzAAAPYQAAD2EBqD+naQAAkCBJREFUeJzs3Xt8FOWh//HvQsiFYC6Em7KRgEZjIhE0YFWQUEohqESbEkIVbUGL1npa4/Eox5aK5xQq5xSi9LRSUX81amMMoKGtglKJEK0GYwkE8MYlARXklmXJPTu/P2hWlmxCEnays8nn/XrlBfvMM88+s7OX+c48M2MzDMMQAAAAAACwhF7+7gAAAAAAAPgGQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAMBvfvOb3ygqKkpNTU0B0S4AAF2BoA4AwDmaPHmyoqKi9Pjjj/ukveTkZM2dO9cnbVldbW2tqqqqZBhGh+dduHChoqKifN4uAAD+RlAHAOAc7Ny5U2+99ZaCg4O1YsUKnwRDh8OhkydP+qB33VtNTY2qqqq8Tnv44Yd17NgxBQUFdXGvAAA4dwR1AADOwdNPP63+/fvrT3/6k/bs2aO33nrL312CpNDQ0FaPtgMAYHUEdQAAOqm+vl65ubn64Q9/qLS0NCUmJmrlypUt6jU1NSkqKkq//vWvW0y78cYbNXnyZPfjqKgoVVRUaPXq1YqKilJUVJTGjx/vMc8zzzyja6+9VoMHD9ZFF12kO++8UxUVFS3aXr9+vW666SZdeOGFGjFihH7wgx/o448/7nBbl156qX7yk59ox44dmj59us4//3wtXLhQ//znPxUVFaXCwkIVFBRo7NixGjBggP7xj39IkioqKnT33Xfrkksu0aBBg3T11VfrmWeeOevr+txzz7mXPTo6WrGxsbrpppu0ceNGd525c+cqJyfH/Zo1/3366aeSWj9HvbS0VN///vd14YUX6oILLtDkyZP1xhtveNSZP3++hgwZovr6ev3Hf/yHhg8frmHDhumee+5hpAMAoEsQ1AEA6KQ1a9boyJEjuueeeyRJ99xzj1599VUdPnzYo55hGKqqqlJNTU2LNpxOp06cOOF+vHfvXtntdt10003au3ev9u7dq7/97W/u6Q888IDmzZun9PR0/eMf/9Dzzz+vDz/8UGPGjNG+ffvc9ZYtW6apU6cqLi5OhYWFevvttzV9+nQ9/PDDHW6rqqpKe/fu1c9//nP9x3/8hzZs2KBLLrlEjY2NqqqqUn5+vt58800999xzeuGFF9SnTx/t2rVLV155pXbs2KFnn31WpaWluueee/Tzn/9cv/zlL9t8XW+99Vb3sn/++ef629/+pvPPP19TpkzRP//5T0nS8uXL3a97c929e/fqoosukuT9HPXNmzfr2muvVW1trV577TW9/fbbSkhI0LRp0/Tss8+669XU1Oj48eO6//77dfnll6uoqEhLly7VCy+8oAceeKDNvgMA4BMGAADolEmTJhnf/e533Y+rqqqMfv36Gf/7v//rUa+hocGQZDzyyCMt2pgwYYJx9dVXe5QNGzbMmDlzZou6n3zyiWGz2Yx/+7d/8yjfv3+/ERISYtx+++2GYRhGRUWF0adPH+NHP/pRq31vb1uGYRiDBw82+vTpY+zfv9+jbklJiSHJGDt2bIv2v/Od7xhDhw41HA6HR/lvf/tbIygoyDhw4IBhGIbxq1/9ypBkNDQ0tNrXZhdffLExb9489+OHHnrIaG1Txlu7KSkpht1uN+rq6lr0NSoqyjh58qRhGIbxs5/9zJBkPP300x71fvaznxnBwcFGTU3NWfsKAMC54Ig6AACdsGfPHv3973/XT37yE3dZRESEbr31Vq/D333hzTfflGEYysrK8igfOnSorr/+eq1bt06S9Prrr6uhoUE/+tGPzrmtZt/61rc0dOhQr21lZGR4PHY4HPr73/+um266Seedd57HtKlTp6qxsVFFRUWt9q2hoUHLli3Ttddeq/PPP1/R0dGKiorSnj173EPbO+ro0aPasmWLvve97yk4ONhj2qxZs3T8+HF98MEHHuU333yzx+PRo0ervr7e62kGAAD4EpdCBQCgE1auXCnDMHT77bfLZrO5yxsaGlRdXa3Nmzdr3LhxZ23H6MBV4r/++mtJ0gUXXNBi2gUXXOC+kN2XX34pSYqNjT3ntprZ7fZW2zpz2ldffSWXy6Xnn39er7zyinsZDcOQy+XyeH5v7r77bv35z3/W8uXLlZqaqujoaPXq1Uvf/va3VVdX1+p8bTnb8krSoUOH3GV9+vTRgAEDPOpFRkZKko4dO9apPgAA0F4EdQAAOqipqUn/7//9P/3617/2OKLeLDMzU08//bQ7qAcFBSksLMzrhci++uorRUdHt+t5m69i/vXXX2vYsGEe0w4dOuRuJyYmxt12XFzcObXV7Myj0G1Na2777rvvbvV89LCwMK/ltbW1ev755/XTn/60xb3kDxw4oPj4+Fb70ZbTl/dMzQH99GXu1av1QYcd2bkCAEBnMPQdAIAO+utf/6ovvvhC06dP97jiePPfDTfcoFdeecXjHt9xcXHauXOnRzufffaZPv/88xbt9+3bVw0NDS3KJ0yY4H7+0x0/flzFxcXu6ZMnT5bNZtMrr7zS6jK0t63OGDRokK688kq99dZb6tevn9fXKCQkxOu8LpdLTU1N7qPXzf7+9797HPGWTr1Okry+VmcaPHiwLr30Uv3tb39rEbT/8pe/KCwsTGPHju3IYgIAYBqCOgAAHfT000/Lbrfr8ssv9zo9LS1NNTU1evHFF91lP/rRj/Tmm2/q1Vdflcvl0ieffKKHHnpII0eObDF/QkKC/vnPf3oEfUkaNWqUMjMz9T//8z8qKChQQ0ODDhw4oB/84AdqaGjQr371K0mnbqd2//33a/ny5Vq6dKmOHz+uxsZGvf/++7r33ns71FZnLV++XJ988oluvfVWffbZZzIMQ06nU5s2bVJmZmarQ9/79u2r66+/Xs8++6x27Nghl8uld999VwsWLGjxWiUkJEiSx23b2rJo0SLt2rVLP/3pT3Xs2DFVV1dr2bJlWrVqlebPn99i5wAAAP5CUAcAoAMOHDig119/XVOmTGm1ziWXXKIRI0bo6aefdpf97Gc/05133qlZs2YpLCxMt99+u3796197DYf//d//rfPOO08xMTEt7qOem5urn/3sZ7rvvvvUt29fxcXFqba2VkVFRbriiivc9X7729/qySef1MqVK9W/f39FR0frgQce0IwZMzrcVmdce+21+uCDD1RfX6/Ro0crNDRUdrtdCxYsUGZmpnt4vje5ubm6/PLLNXr0aIWHh+vhhx/WypUrFRER4VEvIyNDs2bN0vTp091H7tu62Nz3vvc9vfrqq3rvvfc0YMAARURE6P/+7/+0fPnys94yDgCArmQzONEKAIB2a2xslNPpVFhYWKvDtyXp5MmTamhocJ8b3czlcqmhocE9r9PplCT169evRRv19fWqqalRr169Wlw9XTp1v++QkJA2z6eWTg0N79Wrl3r37t1qnbbacjgcCgoKcg81b9bU1KQTJ04oPDxcffr0abMP1dXVLeaXTp2TXltb2+J1am7fMAwFBZ26pE5rr5XL5ZLT6ZTL5VJERIR69erVZrvSqdfE5XJ5XYc1NTWqr69vsROloaFBJ0+e1HnnndfmawkAwLkiqAMAAAAAYCEMfQcAAAAAwEK6JKh/9tlnKigoUEVFRbvnKSsr09q1a7Vr165zqgMAAAAAQCAxNaiXlpZqypQpmjp1qmbMmKF33nnnrPPU19fr5ptv1sSJE5WTk6OxY8dq7ty5HrdSaU8dAAAAAAACUZCZjR85ckT333+/pkyZctYL3TTLyclRcXGxtm7dKrvdrvLycqWkpCg1NVWzZ89udx0AAAAAAAJRl11MzmazKTc3V7fddlub9UaOHKkJEybod7/7nbvse9/7npxOp9avX9/uOgAAAAAABCJTj6h3VGNjo3bu3Kn77rvPozw5OVlPPfVUu+t4U1dXp7q6Ovdjl8ulo0ePKiYmRjabzYdLAQAAAABAS4Zh6MSJE7rgggvaHHVuqaDudDrV1NSk6Ohoj/KYmBgdP3683XW8Wbx4sRYuXOjrLgMAAAAA0CGVlZWy2+2tTrdUUA8JCZEkVVdXe5Q7nU6Fhoa2u4438+fPV3Z2tvtxVVWVLrzwQlVWVioiIsIn/feVZW9+ov/37l41uVqeldC7l00/vDZO90++xA89AwAAAAB0lsPhUGxsrM4777w261kqqIeFhWnIkCEtbuNWUVGhESNGtLuONyEhIe6Qf7qIiAjLBfXbJ1ymP205qF5erh5gs0l3TLhMERHhXd8xAAAAAMA5O9vp111yH/W27NixQ4WFhe7HaWlpWr16tVwulySptrZWa9euVVpaWofqBLLhA8L1eEayep227nrbbOplkx7PSFbcAEI6AAAAAHRXph5RP3TokMe900tKShQaGqrhw4frqquukiTl5+crJyfHfX75ggULNGbMGGVkZGjatGnKy8tTUFCQx7D19tQJdDNSYnX50AilPbFZkvSjcXG67ephhHQAAAAA6OZMPaJ+8OBB5eXlKS8vTxkZGTpw4IDy8vJUUlLirpOYmKj09HT347i4OJWWliohIUEbN27U+PHjVVJSopiYmA7V6Q6GxXwTyrMnX0JIBwAAAIAeoMvuo241DodDkZGRqqqqstw56s2q6xuVuGCdJGnHY1PUN9hSlxQAAAAAAHRAe3Oo389RBwAAAAAA3yCoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEKCuuJJysrKtG/fPsXHxyshIaHNuuvXr5fD4WhRPmTIEI0bN06StGvXLm3fvt1jenBwsKZPn+67TgMAAAAA4AemBvX6+nplZmZq06ZNGjVqlEpKSjRjxgytXLlSNpvN6zx//etfdeDAAfdjl8ulNWvW6M4773QH9YKCAi1btkwTJ0501wsPDyeoAwAAAAACnqlBPScnR8XFxdq6davsdrvKy8uVkpKi1NRUzZ492+s8TzzxhMfj9evXa82aNZozZ45HeXx8vAoKCkzrOwAAAAAA/mDqOeq5ubmaOXOm7Ha7JCkpKUlpaWnKzc1tdxvPPPOMkpKSdM0113iU19TUaN26dSoqKtLRo0d92m8AAAAAAPzFtKDe2NionTt3Kjk52aM8OTlZZWVl7WrjyJEjeu2113TXXXe1mLZ7924tWbJE2dnZstvtWrp0aZtt1dXVyeFwePwBAAAAAGA1pgV1p9OppqYmRUdHe5THxMTo+PHj7WrjhRdekKQWw+RTU1NVUVGhDRs26MMPP9Szzz6rBx54QBs2bGi1rcWLFysyMtL9Fxsb27EFAgAAAACgC5gW1ENCQiRJ1dXVHuVOp1OhoaHtauOZZ55RRkaG+vfv71E+btw4jx0AWVlZGjlypAoLC1tta/78+aqqqnL/VVZWtndRAAAAAADoMqZdTC4sLExDhgxRRUWFR3lFRYVGjBhx1vk/+OADbdu2TU8++WS7ni8yMlKHDh1qdXpISIh75wEAAAAAAFZl6sXk0tLStHr1arlcLklSbW2t1q5dq7S0NHedHTt2eD0S/swzzyg+Pl6pqaktph08eNDjcWVlpUpLS5WSkuLbBQAAAAAAoIuZenu2BQsWaMyYMcrIyNC0adOUl5enoKAgZWdnu+vk5+crJyfH47z16upq5eXl6Re/+IXXdtPT0zV27FiNHj1ahw8f1vLly5WUlKR58+aZuTgAAAAAAJjO1CPqcXFxKi0tVUJCgjZu3Kjx48erpKREMTEx7jqJiYlKT0/3mK+8vFyTJ0/WHXfc4bXdoqIijRw5UsXFxaqsrNSiRYv03nvvqV+/fmYuDgAAAAAAprMZhmH4uxP+4HA4FBkZqaqqKkVERPi7O15V1zcqccE6SdKOx6aob7CpAyAAAAAAACZqbw419Yg6AAAAAADoGII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALCSoK56krKxM+/btU3x8vBISEtqsu2vXLm3fvt2jLDg4WNOnTz+ndgEAAAAACASmBvX6+nplZmZq06ZNGjVqlEpKSjRjxgytXLlSNpvN6zwFBQVatmyZJk6c6C4LDw/3COqdaRcAAAAAgEBgalDPyclRcXGxtm7dKrvdrvLycqWkpCg1NVWzZ89udb74+HgVFBT4vF0AAAAAAKzO1HPUc3NzNXPmTNntdklSUlKS0tLSlJub2+Z8NTU1WrdunYqKinT06FGftQsAAAAAgNWZFtQbGxu1c+dOJScne5QnJyerrKyszXl3796tJUuWKDs7W3a7XUuXLj3nduvq6uRwODz+AAAAAACwGtOCutPpVFNTk6Kjoz3KY2JidPz48VbnS01NVUVFhTZs2KAPP/xQzz77rB544AFt2LDhnNpdvHixIiMj3X+xsbGdXjYAAAAAAMxiWlAPCQmRJFVXV3uUO51OhYaGtjrfuHHjPEJ4VlaWRo4cqcLCwnNqd/78+aqqqnL/VVZWdmyBAAAAAADoAqZdTC4sLExDhgxRRUWFR3lFRYVGjBjRobYiIyN16NChc2o3JCTEHfIBAAAAALAqUy8ml5aWptWrV8vlckmSamtrtXbtWqWlpbnr7Nixw320XJIOHjzo0UZlZaVKS0uVkpLSoXYBAAAAAAhEpt6ebcGCBRozZowyMjI0bdo05eXlKSgoSNnZ2e46+fn5ysnJcZ9fnp6errFjx2r06NE6fPiwli9frqSkJM2bN69D7QIAAAAAEIhMPaIeFxen0tJSJSQkaOPGjRo/frxKSkoUExPjrpOYmKj09HT346KiIo0cOVLFxcWqrKzUokWL9N5776lfv34dahcAAAAAgEBkMwzD8Hcn/MHhcCgyMlJVVVWKiIjwd3e8qq5vVOKCdZKkHY9NUd9gUwdAAAAAAABM1N4cauoRdQAAAAAA0DEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWEuTvDgD4xp7DJ5W/pVL7j9XIHh2mzJRYDR8Q7u9uAQAAAOhCBHXAIvK3VOrhVWWy2WwyDEM2m00rij7X4xnJmpES6+/uAQAAAOgiDH0HLGDP4ZN6eFWZXIbU5DI8/n1oVZn2Hj7p7y4CAAAA6CIEdcAC8rdUymazeZ1ms9n08pbKLu4RAAAAAH8hqAMWsP9YjQzD8DrNMAztP1bTxT0CAAAA4C8EdcAC7NFhbR5Rt0eHdXGPAAAAAPgLQR2wgMyU2DaPqM/kYnIAAABAj0FQByxg+IBwPZ6RrF6nHVTvbbOpl016PCNZcdyiDQAAAOgxuD0bYBEzUmJ1+dAIpT2xWZL0o3Fxuu3qYYR0AAAAoIchqAMWMizmm1CePfkS9Q3mIwoAAAD0NF2SAsrKyrRv3z7Fx8crISHhrPVPnjypjz76SA0NDRo5cqQGDBjgMX3Xrl3avn27R1lwcLCmT5/u034DAAAAANDVTA3q9fX1yszM1KZNmzRq1CiVlJRoxowZWrlyZatXuH7ssce0YsUKDR8+XL1799aWLVv06KOP6sEHH3TXKSgo0LJlyzRx4kR3WXh4OEEdAAAAABDwTA3qOTk5Ki4u1tatW2W321VeXq6UlBSlpqZq9uzZXucZNGiQdu3apfPOO0+S9Oqrr+qWW25RamqqxowZ464XHx+vgoICM7sPAAAAAECXM/Wq77m5uZo5c6bsdrskKSkpSWlpacrNzW11nrvvvtsd0iXp5ptvVnBwsD766COPejU1NVq3bp2Kiop09OhRcxYAAAAAAIAuZlpQb2xs1M6dO5WcnOxRnpycrLKysna3s3nzZtXX1yspKcmjfPfu3VqyZImys7Nlt9u1dOnSNtupq6uTw+Hw+AMAAAAAwGpMC+pOp1NNTU2Kjo72KI+JidHx48fb1caxY8c0Z84c3XDDDbruuuvc5ampqaqoqNCGDRv04Ycf6tlnn9UDDzygDRs2tNrW4sWLFRkZ6f6LjY3t1HIBAAAAAGAm04J6SEiIJKm6utqj3Ol0KjQ09KzzOxwOpaWlKSoqSi+99JLHtHHjxnnsAMjKytLIkSNVWFjYanvz589XVVWV+6+ysrIjiwMAAAAAQJcw7WJyYWFhGjJkiCoqKjzKKyoqNGLEiDbnPXHihKZOnarGxka99dZbioiIOOvzRUZG6tChQ61ODwkJce88AAAAAADAqky9mFxaWppWr14tl8slSaqtrdXatWuVlpbmrrNjxw6PI+FOp1NTp05VfX293nzzTUVFRbVo9+DBgx6PKysrVVpaqpSUFHMWBAAAAACALmLq7dkWLFigMWPGKCMjQ9OmTVNeXp6CgoKUnZ3trpOfn6+cnBz3ees33XSTysrKtGzZMo9zzhMTE5WYmChJSk9P19ixYzV69GgdPnxYy5cvV1JSkubNm2fm4gAAAAAAYDpTg3pcXJxKS0v1+9//Xhs3btT48eOVl5enmJgYd53ExESlp6e7H59//vmaMmWK3njjDY+2MjMz3UG9qKhIzz//vIqLi9W3b18tWrRIs2bNUu/evc1cHAAAAAAATGczDMPwdyf8weFwKDIyUlVVVe06B94fqusblbhgnSRpx2NT1DfY1P0qsADWOQAAANB9tTeHmnqOOgAAAAAA6BiCOgAAAAAAFsK4WgDd1p7DJ5W/pVL7j9XIHh2mzJRYDR8Q7u9uAQAAAG0iqAPolvK3VOrhVWWy2WwyDEM2m00rij7X4xnJmpES6+/uwSTsnAEAAN0BQR1At7Pn8Ek9vKpMLkNS8/Uy//XvQ6vKNCauv+IIb90OO2cAAEB3wTnqALqd/C2VstlsXqfZbDa9vKWyi3sEs52+c6bJZXj8+9CqMu09fNLfXQQAAGg3jqijR2A4bM+y/1iNWrvzpGEY2n+spot7BLO5d854We/NO2cemprgh54BAAB0HEEd3R7DYXsee3RYm6HNHh3mh17BTOycAQBYAQeH4CsEdXRrnKvcM2WmxGpF0edepxmGoZnsoOl22DkDAPA3Dg7Blwjq6NYYDmsOq+8tHj4gXI9nJOuh5p00knrbbDJk6PGMZMvtnLH66xkI2DkDX2l9ZMZp/29jHsOj/Ix6Lebseq0s3jm3423ZWtbxxfP6/zXsjLP1+qyL5cPF7sr3YWvL1VoPvK3fruitt356fZ3aKKo4Wt3mwaFhMX1lj+7bopnmZW71tfL47mn91Tjbe+js78G2a7RnPXhvwjhrnZbfqd7qnL2dQeeFKKZfSJt9DCQEdXRrDIf1vUDZWzwjJVaXD41Q2hObJUk/Ghen264e5vOQ7u0H1usPsEdZcz1Dqz7cr1+8ul02ndqRYNOp1/O/b75c37vS3uoPdEdCg/uh8U0b3/TBs4+n9+2beVr22/P51IK3T92Zn0VfBobeNpsempqg37yxy91ur39dT/DBKZfK0KkdIoZhtFgeyTjj9XCXuut1JpScrc9m8vZe8fa+PL3cs0/eNxy9r1dvZf7Z2PbsQxc/IYAe7c8fVLQ5/YV/VGjW2Au7qDc9U2RYH393wacI6ujWGA576srXjS6XR9jwCCD/qtciwHipu+9I26cSXDSwn+z9T3tNWw2vp5d7Borm4Hh682f2t7mvp+oYp5Wfqtu8rDUNTe62pyQO0YnaRpXtP37WkOotuJ0ZuH0RAr6sqtEjr253L8c3zyg98up2hfUJ0pDI0HN/oh4i2R6lxbeM1MOrt0mSpl4+RJMvG6IhkaH6qqrWz70DAsOXVTXa+PHX+tpZp4H9QpR66UCdH9n9fyvRM/ny/f61s671kQL/mg50BEEd3ZqZw2HPdiTVW12PMi/16htd7v/X1De5bzHV/OcyPP/f6DLkchlq+le5yyU1ulz/qndqXl86297i//fuXkvtLa49Lag76xrV6OPX41xt/Phr2eT9vWCT9PbHhyzzegbKxvvgiG92bMy4KlahfXr7sTeBL1DWO3xj48eH9MdNu93fSzZJa8u+0LzrR2jCJYP83DvAt3z9fh/YL6TN3/SB3WhINroGQR3dkmEYqm1wKSqsj/5z2mX69d92egyHNST9ZOLFOnKyXkdO1uvMYZ6eB4x9fyS1NacHy7L9VZYLGewt9q1AeT3ZeO+ZWO89y5dVNfrjpt2eI63+9e+Kd3br0sERjPBBt2HG+z310oFaW/aF12mGpImX8r2JjiGoI2C5XIbqGl2qbWhSbWOTauqbVNvgUm1jk+obXe5AnXRBZKvDYU8/go2zY2+xbwXC68nGe8/Eeu95AmmED3CuzHi/nx8ZpnnXj9CKd3a3ODg07/oRnf7OZGRTz0VQh6U1uQzVNf4rgDc0/euvZRg/G4bD+gZ7i30rEF5PNt57JtZ7zxMoI3wCCQHLusx6v0+4ZJDiYsK9HhzqDEY29WwE9W6k8mi1Dp2w6g9px8eLG4bU0GStc4p7OrP2FvdUgfB6svHeM7Hee55AGOETSAhY1mbm+91XB4cY2QSCejfS5DIYyg3T+XpvcU9n9deTjfeeKZDWO0ctfSMQRvgECgKW9QXC+52RTejl7w4g8H1ZVaM/f1ChJ//+qf78QYW+rOLe5N3dmXuL2eA4N1Z+PVMvHdjmkVUrbMzA9wJlvW/8+JAeeGWr/lL2hf6x+4j+UvaFHnhlq4o+OeTvrgWc5hE+Nts3Zb1sks1mnRE+gaI5YHnTHLDgX4HwfmdkEziijnPC0C6gewuE4fnwvUBY7xy19D2rj/AJFGYGLEaQ+I7V3++BNLIJ5iCoo9PYSAJ6BqtvzMAcVl/vDAs1J7Rx8dVzZ1bA4uCI71n5/R4Iw/NhLoI6Oo2NJKDnsPLGDMxj5fUeaMNCfR2qCW3WZUbA4uBIzxMII5tgLoJ6D+PLDYVA20gCAHQfgTQs1NehmtBmbWYELA6O9ExWH9kEc3VJUC8rK9O+ffsUHx+vhIQEn83TmXZ7Ml9vKATSRhIAoHsJlGGhZoRqQpv1+TpgcXCk57LyyCaYy9SrvtfX1+vmm2/WxIkTlZOTo7Fjx2ru3LkyjNa+ato3T2fa7elO31BwGfL4d8U7u/VVVW2H2wyUqwIDALqfQLhqs2TOFcAJbYHBl3f0aD444g0HR4DuydQj6jk5OSouLtbWrVtlt9tVXl6ulJQUpaamavbs2Z2epzPt9nRm7H3n3BkA6Byu3OwbgTAs1IxQzYi2nidQRpAA8B1Tg3pubq5mzpwpu90uSUpKSlJaWppyc3NbDdTtmacz7bamur5RQfWNnV1EU1Wf1q/qdvSxpr5JtQ1NXqcddNS2uaFw0FHb6rxtuXp4jC6IDNWCwh2SpMmXDdbEhEEaHBHaqfbMUndaX+os1K8z0U/fop++Ewh9lAKjn5s+/VrPvbu3xWlIc64drnHxA/zcO0++fj2/ctRq06df64izXjH9gjU+fqCGRJxbqI4K6+P+//TkCxTSp7elfn+i+/ZpM1RH9+3T4f5ec1FMm6Ht2otiOv0aBMJnKFD48rWM7husOdcO17PFe9zvpeaDI3OuHa6oTryPAo0Z3x9mvN993SafyfarqW9qV2byt/b20WaYNF68sbFRoaGh+v3vf68f//jH7vJHH31UTz31lL766qtOzdOZdiWprq5OdXXf7LV2OByKjY1V7M/z1Sukry8WGQAAAACAVrnqqlWZk6mqqipFRES0Ws+0c9SdTqeampoUHR3tUR4TE6Pjx493ep7OtCtJixcvVmRkpPsvNja2w8sEAAAAAIDZTBv6HhJy6vyo6upqj3Kn06nQUO/DVNozT2falaT58+crOzvb/bj5iPoHj0xqc09GINl3uFpfOVq/KNzmTw/r2Xf3eAy3bB4yZcXhlne/WCpJeurWKxViwStcBkIfJfrpa4HQz0Doo9Qz+/lU0ef6YO9ReRvLZrNJY+P66+4JF/m9n772yoeVemP7V3J5We5etlPnls+4yjo70M14LQ86avXOacN2r48f6HGxse7MjNez4shJ/WrtqdPupiQOVmrCoE4Ng/7KUav/XLOt1c/k4ltGdvv1ZMb68WWbgfb9EQisvs472+aF/fvq/Cjrf14dDofOzzl7PdOCelhYmIYMGaKKigqP8oqKCo0YMaLT83SmXelUwG8O+afrGxykvsHd43byYcG927xlw3cSB+vyoZF6++ND7gsYTbx0kKUuuuNNSJ+2l8sKAqGPEv30tUDoZyD0Ueo5/RwcEdrm+cqDI0J98jpY7fU8Vt3Q5nVSjlU3WKq/p/PVazksJlyzY8J90KPA5ovXs/l2s83e3HlQ63ce7NTtZt/7/Eibn8l3Pz/S7W91d/pBnsKyL/Sdywb79OKW57rOA/n7IxCY8XvhrzbDgnsHRK5rbGcfTb09W1pamlavXi2XyyVJqq2t1dq1a5WWluaus2PHDhUWFnZonvbUgXdDIkM1a+yF+rdvx2vW2AstH9IBoDvpqbe15NZS8JXTbzfb7FxuN9vTb3W38eND+s8129yP39j+lR54ZauKPun4bQPNwvcHeipTg/qCBQu0f/9+ZWRk6Omnn9YNN9ygoKAgjyHo+fn5uv322zs0T3vqAACs7fSjOK98WKkvq2r82Juucfq9v5vv+W3Fe3/7Wk/dQYFTfPlZ9/V96XtyCPT1Tg+z8P2BnsrUoB4XF6fS0lIlJCRo48aNGj9+vEpKShQTE+Ouk5iYqPT09A7N0546AADrCoSjOGaZcMkgLZ0xSjcmX6BvjYjRjckXaOmMUR0eshtIeuoOCvj+s+7rI+A9OQT6eqeHWfj+QE9l+iD+2NhYLV68uNXpmZmZyszM7NA87a0DALCe1o7iSKeO4lw6OKLbb3g1n4bUk0y4ZJAuHRwRcNdJQeeZ8VlvPgLe2jnlHT0C3hwCV7yzu8XFdrt7CAykYf98f/jWmaNcfH1dAviG9c+2BwB0K81HcVrb0H7740M9LsT2FD1xB0VPZsZnPfXSgVpb9oXXaZ09At5TQ6Cvd3qYje8P3zjzYoxvbP9Kr2//qlMXYzRbT9+hYOrQd6A764nn1wK+EEhHcSQ+60BnmfFZN2sYdE+82K6Zw/753rSmQLkugdSzT5FrRlAHOoEvD6DzAuniTXzWgc4z67PeE6/zYAazdnrwvWldgXJdgkDaoWAmhr4DHcT5tcC5MWPoqhn4rAPnxszPOsOgfcPXw/753rS2QBnRxilyp3BEHeigQNkbCVhVoFzBl886cG4C5bPe0/ly2D/fm9YWKCPaAmWHgtk4ot6N9A3prQH9gv32/K19oM46n5cZaxua3P/v3au1rxT/4MsDOHeBcPEmPus9V0+/gJEvBcJnHb7D96a1BcqItkC70KFZCOrdyKDzQjXovO7xw1dd3+j+f0pctIJ69VJtY5NqG5pU1+BSbUOTahtcqm1sUmNTZ3cRdA5fHj0bG/C+Y/Whq3zWe6ZAuiJyoLD6Zx2+w/emtZl5O0Jfbh8Fyg4FsxHUERCCg3opOKiXIkL7tJjW0HRacG9oUl3jN/9vMCHE8+XRc7EB37ME2mednUjnjvNrgXMTaN+bPZEZo1x8vX1k5g6FQEJQR8Dr07uX+vTuJW+DCRqbXKptbA7yTaprdMn41xZY84ZY8/bYN4+/me6t7LzQ8/SzSfF6YsOnHuf5GJL+7dsX66JB4R7t6Yw6Lcq8VHQZkssw1OQyvLaDrscGfM8TSBsK7ETyDS5gBJybQPre7Ml8OcrFrO0jTpshqKObC+rdS/1691K/EN++1S8fGqmbRw3Vy1sqtf9YjezRYZqZEqu4AeE+fR5JcrkMNf0rtDf96/+u0/7fXO5yyf3YZRhqbDr17+mn+PfpbVNQ71MFp3ZE/GsHhLzvWMA32IDvmQJhQ4GdSL7D+bXAuQuE7034jpnbRz39tBmCOtBJcQPC9dDUBNOfp1cvm3rJpj69Ozf/6ef7XzksWn2D2/7Ynz7iwDitzNvIg9bC/enlxmlf3Z7lns95ej8Tzj9PffsEuZ/DOK0Ppx6fKjz9sUc945vn8xghccbyfNOf0+ZpZRmrahravGDi8ep69QsJ8ni+M5f19NETnst/ekvteb1O/3/LNm3Wuv5iwLP6hgI7kXyH82sB37D69yZ8hx2c5iGoA93c3iMn3f9f+uYnuvXqYRrexpF/279SnmfYMz/5nX51/8iwPmfdodDVEi+I0ObPDqvJy94Jm82mpKGRGmmP9EPPWtrxZZX7/8WfHdYPrr5QcTHhLXYYnLlTQjpzJ0DL8jN3sJzpzBKvO3O8nhbSviEd7R35cbadTDptebye9nL6/Gd5Tu+nuXh5bdp5OkxHOesa25x+orZBgyK+CZin76A6s6zVHULtXZ5zeC2s4Ibk89s8v/aGkecrPOSbvaat7Uw7Nc37jrkz57O2s68776d0nfm4nZ/vdvaqMwLnNQcCCzs4zWOtLWEAPpW/pVIPrypzP35u8149u3mPHs9I1oyUWD/2LPBkpsRqRdHnXqcZhqGZFnk9W6zz4r16tvjMdc4h9+7k0iHnqeiTr70mEZvNpoTzI3TRwH5+6FnguXxopJZkJOuhVWWy2WwyDMP97+MZyZpy+RB/dxHdxNl2XrRnx0JX7Xto746WNtvw2m5rda23c6/lDqqO7cTytuPOo/5ZRiK2esS6jRfmbC/ZWXdCn62Ff02+/Zph+ksrOzibp8f279uuHbnt2aHt9SDBv4rOC+1e0bZ7LQ0Atz2HT+rhVWXuc1UluY8GP7SqTGPi+ptyTn13NXxAuB5vYwPeCq8l67xnCpSdSIFiRkqsxsT175JrkKDnsp3lHCVrncJkqc7AYgZFhLa5fZQS19/fXQxYBHWgm8rfUnlqQ6CVo2wvb6nsknPsuxOrb8CzznumQNiJFGi66hokANAdWH37KFAR1IFuav+xmlaHRBmGof3Harq4R92DlTfgWec9FxtJAAB/svL2UaAiqAPdlD06rM2jq/boMD/0qnUdvegdWgq0dQ7fYiMJAIDuo5e/OwDAHJkpsW0eXbXSeav5Wyp145Ob3Y+f27xXk367Ua9sqfRjrwJPIK1zAAAAtI6gDnRTzeet9rKduvXZ6f9a6bzV1i6A5jJOXQBt7+GTrc8MD4GyzgEAANA2hr4D3VggnLfKBdB8KxDWOQAAANpGUAe6Oauft8oF0HzP6uscAAAAbWPoOwC/cl8AzQsugAYAAICeiKAOwK+4ABoAAADgqUuGvpeVlWnfvn2Kj49XQsLZh2OePHlSH330kRoaGjRy5EgNGDDAY/quXbu0fft2j7Lg4GBNnz7dp/0GYL7mC6A9tKpMNptNhmG4/+UCaAAAAOiJTA3q9fX1yszM1KZNmzRq1CiVlJRoxowZWrlyZatDXR977DGtWLFCw4cPV+/evbVlyxY9+uijevDBB911CgoKtGzZMk2cONFdFh4eTlAHAhQXQAMAAAC+YWpQz8nJUXFxsbZu3Sq73a7y8nKlpKQoNTVVs2fP9jrPoEGDtGvXLp133nmSpFdffVW33HKLUlNTNWbMGHe9+Ph4FRQUmNl9AF2IC6ABAAAAp5h6jnpubq5mzpwpu90uSUpKSlJaWppyc3Nbnefuu+92h3RJuvnmmxUcHKyPPvrIo15NTY3WrVunoqIiHT161JwFAAAAAACgi5kW1BsbG7Vz504lJyd7lCcnJ6usrKzd7WzevFn19fVKSkryKN+9e7eWLFmi7Oxs2e12LV26tM126urq5HA4PP4AAAAAALCaDg19Ly8v186dO9usM2HCBA0cOFBOp1NNTU2Kjo72mB4TE6Pjx4+36/mOHTumOXPm6IYbbtB1113nLk9NTdW9997rbjsvL0+zZs3SFVdcoUmTJnlta/HixVq4cGG7nhcAAAAAAH/pUFDftm3bWc8Lv+yyyzRw4ECFhIRIkqqrqz2mO51OhYaGnvW5HA6H0tLSFBUVpZdeeslj2rhx4zweZ2VladGiRSosLGw1qM+fP1/Z2dke7cfGctsnAAAAAIC1dCioZ2VlKSsrq111w8LCNGTIEFVUVHiUV1RUaMSIEW3Oe+LECU2dOlWNjY166623FBERcdbni4yM1KFDh1qdHhIS4t55AAAAAACAVZl6Mbm0tDStXr1aLpdLklRbW6u1a9cqLS3NXWfHjh0qLCx0P3Y6nZo6darq6+v15ptvKioqqkW7Bw8e9HhcWVmp0tJSpaSkmLMgAAAAAAB0EVNvz7ZgwQKNGTNGGRkZmjZtmvLy8hQUFOQxBD0/P185OTnu89ZvuukmlZWVadmyZdqwYYO7XmJiohITEyVJ6enpGjt2rEaPHq3Dhw9r+fLlSkpK0rx588xcHAAAAAAATGdqUI+Li1Npaal+//vfa+PGjRo/frzy8vIUExPjrpOYmKj09HT34/PPP19TpkzRG2+84dFWZmamO6gXFRXp+eefV3Fxsfr27atFixZp1qxZ6t27t5mLAwAAAACA6WyGYRj+7oQ/OBwORUZGqqqqql3nwKNrVdc3KnHBOknSjsemqG+wqfuUAAAAAMB07c2hpp6jDgAAAAAAOoagDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAsJ6oonKSsr0759+xQfH6+EhIQ26+7atUvbt2/3KAsODtb06dPPqV0AAAAAAAKBqUG9vr5emZmZ2rRpk0aNGqWSkhLNmDFDK1eulM1m8zpPQUGBli1bpokTJ7rLwsPDPYJ6Z9oFAAAAACAQmBrUc3JyVFxcrK1bt8put6u8vFwpKSlKTU3V7NmzW50vPj5eBQUFPm8XAAAAAACrM/Uc9dzcXM2cOVN2u12SlJSUpLS0NOXm5rY5X01NjdatW6eioiIdPXrUZ+0CAAAAAGB1pgX1xsZG7dy5U8nJyR7lycnJKisra3Pe3bt3a8mSJcrOzpbdbtfSpUvPud26ujo5HA6PP1jX3iMn3f9f+uYn2nP4ZBu1AQAAAKD76NDQ9/Lycu3cubPNOhMmTNDAgQPldDrV1NSk6Ohoj+kxMTE6fvx4q/Onpqbq3nvvdc+Xl5enWbNm6YorrtCkSZM63e7ixYu1cOHCthcQlpC/pVIPr/pmp8tzm/fq2c179HhGsmakxPqxZwAAAABgvg4F9W3btrV57rgkXXbZZRo4cKBCQkIkSdXV1R7TnU6nQkNDW51/3LhxHo+zsrK0aNEiFRYWatKkSZ1ud/78+crOznY/djgcio0l9FnNnsMn9fCqMrmMb8qajFMPHlpVpjFx/RU3INxPvQMAAAAA83UoqGdlZSkrK6tddcPCwjRkyBBVVFR4lFdUVGjEiBEdeVpFRkbq0KFD59RuSEiIO+TDuvK3VJ66cr9htJhms9n08pZKPTSVW/EBAAAA6L5MvZhcWlqaVq9eLZfLJUmqra3V2rVrlZaW5q6zY8cOFRYWuh8fPHjQo43KykqVlpYqJSWlQ+0iMO0/ViPDS0iXJMMwtP9YTRf3CAAAAAC6lqm3Z1uwYIHGjBmjjIwMTZs2TXl5eQoKCvIYgp6fn6+cnBz3+eXp6ekaO3asRo8ercOHD2v58uVKSkrSvHnzOtQuApM9OqzNI+r26DA/9AoAAAAAuo6pR9Tj4uJUWlqqhIQEbdy4UePHj1dJSYliYmLcdRITE5Wenu5+XFRUpJEjR6q4uFiVlZVatGiR3nvvPfXr169D7SIwZabEtnlEfSYXkwMAAADQzdmM1lJRN+dwOBQZGamqqipFRET4uzs4zStbKvXQqjLZbDYZhuH+l6u+AwAAAAhk7c2hpg59BzpjRkqsxsT118tbKrX/WI3s0WGamRLL1d4BAAAA9AgEdVhS3IBwru4OAAAAoEcy9Rx1AAAAAADQMQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABYS1BVPUlZWpn379ik+Pl4JCQlt1l2/fr0cDkeL8iFDhmjcuHGSpF27dmn79u0e04ODgzV9+nTfdRoAAAAAAD8wNajX19crMzNTmzZt0qhRo1RSUqIZM2Zo5cqVstlsXuf561//qgMHDrgfu1wurVmzRnfeeac7qBcUFGjZsmWaOHGiu154eDhBHQAAAAAQ8EwN6jk5OSouLtbWrVtlt9tVXl6ulJQUpaamavbs2V7neeKJJzwer1+/XmvWrNGcOXM8yuPj41VQUGBa3wEAAAAA8AdTz1HPzc3VzJkzZbfbJUlJSUlKS0tTbm5uu9t45plnlJSUpGuuucajvKamRuvWrVNRUZGOHj3q034DAAAAAOAvpgX1xsZG7dy5U8nJyR7lycnJKisra1cbR44c0Wuvvaa77rqrxbTdu3dryZIlys7Olt1u19KlS9tsq66uTg6Hw+MPAAAAAACr6dDQ9/Lycu3cubPNOhMmTNDAgQPldDrV1NSk6Ohoj+kxMTE6fvx4u57vhRdekKQWw+RTU1N17733utvOy8vTrFmzdMUVV2jSpEle21q8eLEWLlzYrucFAAAAAMBfOhTUt23bdtbzwi+77DINHDhQISEhkqTq6mqP6U6nU6Ghoe16vmeeeUYZGRnq37+/R3nzReWaZWVladGiRSosLGw1qM+fP1/Z2dnuxw6HQ7Gxse3qBwAAAAAAXaVDQT0rK0tZWVntqhsWFqYhQ4aooqLCo7yiokIjRow46/wffPCBtm3bpieffLJdzxcZGalDhw61Oj0kJMS98wAAAAAAAKsy9WJyaWlpWr16tVwulySptrZWa9euVVpamrvOjh07VFhY2GLeZ555RvHx8UpNTW0x7eDBgx6PKysrVVpaqpSUFN8uAAAAAAAAXczU27MtWLBAY8aMUUZGhqZNm6a8vDwFBQV5DEHPz89XTk6Ox3nr1dXVysvL0y9+8Quv7aanp2vs2LEaPXq0Dh8+rOXLlyspKUnz5s0zc3EAAAAAADCdqUfU4+LiVFpaqoSEBG3cuFHjx49XSUmJYmJi3HUSExOVnp7uMV95ebkmT56sO+64w2u7RUVFGjlypIqLi1VZWalFixbpvffeU79+/cxcHAAAAAAATGczDMPwdyf8weFwKDIyUlVVVYqIiPB3dwAAAAAA3Vx7c6ipR9QBAAAAAEDHENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIV0S1D/77DMVFBSooqKi3fOUlZVp7dq12rVr1znVAQAAAAAgkJga1EtLSzVlyhRNnTpVM2bM0DvvvHPWeerr63XzzTdr4sSJysnJ0dixYzV37lwZhtGhOgAAAAAABKIgMxs/cuSI7r//fk2ZMkW9erVvn0BOTo6Ki4u1detW2e12lZeXKyUlRampqZo9e3a76wAAAAAAEIhMPaI+efJkTZ06VTabrd3z5ObmaubMmbLb7ZKkpKQkpaWlKTc3t0N1AAAAAAAIRKYeUe+oxsZG7dy5U/fdd59HeXJysp566ql21/Gmrq5OdXV17sdVVVWSJIfD4avuAwAAAADQqub8ebbTtjsU1MvLy7Vz584260yYMEEDBw7sSLNuTqdTTU1Nio6O9iiPiYnR8ePH213Hm8WLF2vhwoUtymNjYzvVVwAAAAAAOuPEiROKjIxsdXqHgvq2bdtUUFDQZp3LLrus00E9JCREklRdXe1R7nQ6FRoa2u463syfP1/Z2dnuxy6XS0ePHlVMTEyHhuZ3NYfDodjYWFVWVioiIsLf3cEZWD/WxzqyNtaP9bGOrI31Y22sH+tjHVlbd1w/hmHoxIkTuuCCC9qs16GgnpWVpaysrHPqWFvCwsI0ZMiQFrdxq6io0IgRI9pdx5uQkBB3yG8WFRXlm453gYiIiG7z5uyOWD/WxzqyNtaP9bGOrI31Y22sH+tjHVlbd1s/bR1Jb9Yl91Fvy44dO1RYWOh+nJaWptWrV8vlckmSamtrtXbtWqWlpXWoDgAAAAAAgcjUi8kdOnTI497pJSUlCg0N1fDhw3XVVVdJkvLz85WTk+M+v3zBggUaM2aMMjIyNG3aNOXl5SkoKMhj2Hp76gAAAAAAEIhMPaJ+8OBB5eXlKS8vTxkZGTpw4IDy8vJUUlLirpOYmKj09HT347i4OJWWliohIUEbN27U+PHjVVJSopiYmA7V6S5CQkL0q1/9qsWwfVgD68f6WEfWxvqxPtaRtbF+rI31Y32sI2vryevHZpztuvAAAAAAAKDL+P0cdQAAAAAA8A2COgAAAAAAFkJQBwAAAADAQky96jvOzfHjx1VcXKygoCBdd9116tevn7+7hH8pKSnR559/7lEWHR2tKVOm+KlHkKTNmzdr//79Sk9PV1hYWIvp9fX1evfdd1VVVaUxY8boggsu8EMve67Kykq9++67GjlypBITEz2m7du3T++9916LeTIyMtSnT5+u6mKP9vHHH+uTTz7RBRdcoNGjR6tXr5b78vld8p8jR47oww8/VJ8+fTRq1ChFR0d7TOd3yf/Ky8v1+eef64ILLtCVV17p9TO0Z88ebd26VQMHDtS3vvUt9e7d2w897Zm+/vprffjhhwoODtaoUaPUv39/j+l/+9vf5HA4PMouueQSXXnllV3ZzR6vqqpKr7/+uux2u8aNG9di+kcffaS9e/fq4osv1siRI/3Qw65DULeo119/XVlZWUpMTFRtba0OHDigwsJCfetb3/J31yBpxYoVevPNN3XNNde4y+Li4tgg8pOXXnpJ//3f/62GhgZ99tlnqqyslN1u96izd+9eTZ48WZJkt9v1/vvva+nSpbr77rv90eUe5bPPPtO///u/66OPPtLhw4c1f/78FkF906ZNuuuuuzzuAiJJ06dPJ6ibbNu2bfrxj3+s48eP6+KLL1ZZWZmioqL02muvKS4uzl2P3yX/cLlcuueee/SXv/xFSUlJOnnypLZt26bly5frjjvucNfjd8l/duzYoTlz5qi2tlbDhg3TRx99pL59++qvf/2rLrroIne9//qv/9JvfvMbXXPNNfrkk080YMAArV+/XgMGDPBj73uGe++9V3/5y190+eWX69ixYyorK9P//M//6J577nHXyc7OVnh4uOLj491lU6ZMIah3sbvuukuvvfaa0tLSPIJ6fX29ZsyYoeLiYl111VV6//33deONN+r555/3ulOsWzBgOSdOnDBiYmKMRx55xF32wx/+0LjooouMpqYmP/YMzebOnWvMnDnT393Av/zpT38yysvLjbffftuQZFRWVraoM2XKFCM1NdVoaGgwDMMwnnvuOSMoKMj49NNPu7q7Pc6WLVuM1atXG42NjcawYcOM//qv/2pRJzc31xg8eLAfeofi4mLj/fffdz+ura01rrnmGiMtLc1dxu+S/9TX1xsrVqww6uvr3WVPPvmk0adPH2P//v3uMn6X/KekpMTYvn27+3F9fb1x1VVXGZmZme6yd99915BkvPnmm4ZhGIbT6TSSkpKMH/7wh13e354oNzfXaGxsdD9+8sknjV69ehnHjh1zl1166aXG8uXL/dA7NFuxYoUxfvx446abbjLS09M9pv3P//yPMWDAAPc23scff2z07dvXWLlypR962jW66e6HwPbGG2/o2LFj+tnPfuYuy87O1ueff+51aCj84+jRo3rttdf0zjvvqKqqyt/d6dFuv/32FkdoT3fo0CGtX79e9913n4KCTg0kmj17tqKjo/Xyyy93VTd7rKuuukq33HLLWYd4NjY2at26dVq3bp0OHDjQRb3Dtddeq7Fjx7ofh4SE6MYbb9Q///lPdxm/S/7Tp08f/fjHP/YYWZKRkaGGhgaVl5d71OV3yT9SUlKUlJTkftynTx+NGDFCJ06ccJe9+OKLGjlypL7zne9IksLDwzVv3jzl5+ervr6+y/vc09x2220ev0GXXnqpXC6XTp486VFv9+7dWrNmjUpKSlgvXay8vFy/+tWvlJub6/UI+QsvvKAZM2a4R0xecskluvHGG/XCCy90dVe7DEPfLWjbtm0aPHiwBg4c6C5LSkpSr169tG3bNl133XV+7B2affTRR1qxYoX279+viooKLV++XLNnz/Z3t+BFeXm5DMPQ5Zdf7i7r3bu3EhMTtW3bNj/2DKerrq7W448/rsbGRr3//vu65557tGzZMtlsNn93rcfZsGGDx+eF3yVreeutt9SrV68WOyj5XfKvNWvW6MSJE9qyZYtKSkq0atUq97Rt27Z5fKYkaeTIkaqurtbu3buVkJDQ1d3tccrKyrRjxw598cUXWrFihRYuXKihQ4d61Hnttdf0ySefqKysTMHBwXrppZc8dmTCHDU1NZo5c6Z++9vfatiwYS2mu1wulZeX68c//rFH+ciRI5WTk9NFvex6BHULqqqqanGBi169eikqKkrHjx/3T6fg4dZbb9Xvfvc7hYaGSpL+93//V3PnztVVV13V5pFd+EfzkaUzP1cxMTF8pixi5MiR+uyzz9wX+Hv33XeVmpqqpKQk3XXXXX7uXc/yxBNPaNOmTdq0aZO7jN8l69i9e7eys7P105/+1ONaHPwu+d/rr7+ugwcP6sMPP1RKSooGDx7snlZVVdXiwlcxMTGSxGeoi5SXl2vNmjXau3evXC5Xix0nOTk5mjp1qqRT50PfdtttyszM1K5du9yfK5jj5z//ua644gr94Ac/8Dq9urpajY2NPW47jqHvFhQSEiKn09mi/OTJk3xRWMTEiRM91sUDDzyg8PBwvfHGG37sFVoTEhIiSS0+V06nk8+URVxxxRUeV+G/9tprlZaWprVr1/qxVz1Pbm6uHnzwQT3//PO6+uqr3eX8LlnD/v379Z3vfEfjxo3Tb3/7W49p/C753x//+Ee99tpr2r17t06ePOkROrx9hpof8xnqGrNmzVJ+fr4++OAD/fKXv3SH8GbNIV2SgoOD9ctf/lL79u1TWVmZP7rbY/zjH//Qc889p+uvv155eXnKy8vTgQMHdODAAeXl5cnpdPbY7TiCugVddNFFOnjwoOrq6txlX331lerq6jRixAg/9gytsdls6tevn77++mt/dwVeNF91t6KiwqN83759fKYsLCIigs9UF3rxxRc1d+5cPffcc8rKyvKYxu+S/x04cECpqam6/PLLlZ+f777eRmv4XfKf4OBgZWZmqri4WC6XS9Kpz5C33yCbzabhw4f7o5s92g9+8AMZhqF333231ToRERGSxGfIZCEhIfre976nt99+W6+++qpeffVVffnll/ryyy/16quv6uTJk+rTp49iY2N73HYcQd2CpkyZooaGBv3lL39xl7388svq27evUlNT/dcxSJKamppafGl/8MEH2r9/v8aMGeOnXqEtl1xyiS6++GK98sor7rKtW7fq448/1g033ODHnqHZl19+6fHY4XBow4YNfKa6yJ///GfNmTNHzz77rG699dYW0/ld8q/mkJ6YmKiCggIFBwd7TOd3yb/O/P6SpA8//FBDhw51XxRr2rRp2rx5s0fdl19+Wdddd50iIyO7rK890ZEjR9TQ0OBR9s9//lMul0uxsbGSTl2I8cyLx61evVpBQUEaPXp0l/W1Jxo9erT7SHrzX0pKilJSUpSXl+c+hWTatGlas2aNGhsbJUm1tbUqLCzs1ttxnKNuQcOGDdMDDzygu+66S5999plqa2v1m9/8RosXL3bv3YP/NDQ06Prrr9e0adOUmJioffv2afny5UpPT9fNN9/s7+71SNu2bVN5ebl27NghSSosLFT//v11zTXXuC9KsmzZMt1yyy0KCgrS8OHDlZOTo/T0dE2aNMmfXe8RnE6nO+A13wM6Ly9PQ4YMcYe8++67T3379tU111yj2tparVixQv369dN//ud/+rHnPcP69es1e/ZsTZ8+XUFBQcrLy3NPaz6yzu+S/9TU1GjSpElyOp36/ve/r9WrV7unXX311Ro+fDi/S362ePFiffnll7r++usVEhKid955R6+88opefPFFd52srCz94Q9/0He/+13dfffdKi0t1euvv66NGzf6r+M9xGeffaa7775bN998s4YNG6Y9e/boqaee0vTp091X4d+9e7fmzJmj733ve4qNjVVJSYmee+45PfbYYx6nZcF/fvGLXyglJUXp6em68cYb9corr6hXr1564IEH/N0109gMwzD83Ql4V1BQoDfeeENBQUG65ZZbNGXKFH93Cf/idDr1pz/9Sf/85z8VHR2tCRMmdOs9elaXn5/vsfHa7Kc//anGjRvnflxSUqIXXnhBDodD11xzjebMmXPW4aM4dwcPHvS4rVezkSNH6pFHHpF06oquq1atUlFRkWw2m6644grdfvvtLY4cwvcKCwv10ksveZ12emiX+F3yh6qqKs2bN8/rtHvuuUcTJkyQxO+Sv73xxhtav369nE6nhg8frttuu819tLZZ807Ijz76SDExMZo7dy4X+usiFRUVys3N1WeffabBgwfr29/+tr773e961KmsrNTzzz+v3bt3y26365ZbbtGoUaP80+EervkaHGeG8C+++EJPPfWU9u3bp4suukg/+clPNGDAAH90sUsQ1AEAAAAAsBDOUQcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAIAPfP/739fEiRO7fF503EsvvaSoqCjt2bMnINoFAPQ8BHUAQMC79NJLFRUVpaioKEVHR2vo0KH69re/rRdffNGnz3PjjTdq8uTJXqc5nU6dOHGiU+12Zt65c+cqKipK9957b6ee80xtLVt3U19fr6qqKjU1NXV43ueee05RUVGqqKjwabsAAJyOoA4ACHhVVVW67LLLtHfvXu3Zs0dvvvmm7Ha7brvtNv3mN7/x2fO0FahXrVqljRs3+uy52nLs2DG99NJLCg4O1vPPPy+n03nObZ7LjoaepK6uTlVVVXK5XC2m/eAHP9CxY8c0YsQIP/QMANCdENQBAN1C79693UfVExMT9eyzzyouLk6PP/6411Dla+Hh4erXr5/pzyNJubm5amxs1KpVq1RdXa0///nPXfK8aFtwcLCioqLUqxebVwCAc8MvCQCgWwoKClJiYqKOHz+u48eP6yc/+Yk7yPfv318XX3yxbr/9dn322Wce802ePFk33nijDhw4oFmzZik2NlZz585VcnKyNm/erC1btrjbGTZsmHs+b+eZt/c5O2rlypWaPn26xo8frylTpmjlypVe6yUlJWnevHktyn/yk5/o0ksvdT8+27JJ0quvvqpvf/vbOv/88zVs2DDNnDlT27dvb9H2Bx98oJkzZ2r48OG68MILlZ6erpKSkg631dp6OHr0qKKiovS73/1Ob7/9tiZMmKBBgwYpPz9fknTkyBE9+OCDSkpK0qBBgzRq1CgtWbLkrMPRN2zY4HH6xAUXXKDvfOc7Wr16tbvOwoULlZ2d7X7Nmutv2LBBUuvnqH/++ee64447NGLECA0ZMkTjx49vcVrGH/7wB0VFRengwYNasmSJLr30Ug0dOlS33nqrDh482GbfAQDdD0EdANBt7d69W3379lVERIT+93//V3v37tXevXv18ccf6/nnn9f+/fv17W9/W1VVVe55Tpw4ocOHD2vu3Ln64Q9/qL///e+69tprtXnzZn3rW9/S6NGj3e2UlZW55/M2dLy9z9kR77//vrZt26af/OQnkk6F7g8++MCjL82qqqp08uTJFuXV1dUez3+2ZVu+fLluueUWXXnllXrnnXe0Zs0aHT16VN/61re0ZcsWd71XXnlF1113nWw2m15++WUVFxfrzjvv1IMPPtjhtlpbDy6XS1VVVdq8ebP+7//+Tzk5OSosLFRUVJQOHTqkMWPG6I033tCyZctUWlqqRx99VEuXLtUPf/jDNl/XCRMmuJd99+7devvtt/Wtb31L3//+9/W3v/1NkvTQQw/p17/+tfs1a64/YcIESd7PUf/kk0+UkpKiXbt26cUXX9S7776r7373u5o9e7Z+9atfues1D6lfuHChgoODtW7dOj3//PP6+9//rjvuuKPNvgMAuiEDAIAAN3jwYOO6665zPz558qTxy1/+0pBk3Hfffa3O9/XXXxuSjOeee85ddvXVVxuSjA8++KBF/QkTJhhXX32117amTJliXHXVVWftq7fnbO+8hmEYc+fONS699FL346amJiMuLs746U9/2qLu0KFDjVtvvbVF+R133GEMHjzYo6y1ZTt+/LgRHh5uTJ8+3aP85MmTxqBBg4zrr7/e/bh///7GxIkTW+17e9syjNbXQ/PrN3ToUKO+vt5j2p133mmEh4cblZWVHuWrVq0yJBnvv/++YRiG8dxzzxmSjE8//bTVvjb7zne+Y0yZMsX9+A9/+IMhydizZ0+Lut7a/f73v2+Eh4cbX3/9dYu+BgUFGRUVFYZhGMayZcsMScYjjzziUa+5/PPPPz9rXwEA3QdH1AEA3cI//vEP91Dkfv36KTc3VwsXLtTSpUslSUePHtV//Md/6IorrtCgQYMUFRWliy++WJL06aeferQVGxurMWPGnHOfOvKc7eF0OvXyyy/rnnvucZf16tVL8+bN04svvqja2tpz7vOZiouLdfLkSWVlZXmU9+3bV+np6dq8ebNOnjypzZs36+jRo/rRj350zm01a2s9TJ8+XX369PEoW7NmjcaPHy+73e5RPnXqVNlsNvcQ9dY8++yz+va3v62hQ4cqOjpaUVFRKioq6tS6arZ+/XpNmjRJAwYM8CifNWuWGhsbW/Tp5ptv9ng8evRoSTrn0yUAAIElyN8dAADAF8aMGaPXX39dNptNoaGhCgkJcU9rbGzUxIkTdeLECT3xxBMaNWqU+vXrp6amJg0aNEh1dXUebZ0Z9Dqjo8/ZHn/+85/ldDr1i1/8wmPYdFNTk5xOpwoKCnTbbbedtR3DMNr9nF9//bUk6YILLmgx7YILLpDL5dKRI0f05ZdfSjoVrs+1rfDwcEltr4czp9XX1+vIkSN6++23NWDAAPcyGobh/mt+fm/+67/+S48++qgef/xx/f73v9fAgQPVu3dv/fCHP/QYkt8RdXV1cjgcrS6vJB06dMhrebPIyEhJp670DwDoOQjqAIBuofmq7968//77KisrU15enm666SZ3+Z49e7yG1uDg4HPuT0efsz2efvppzZs3z+st5/793/9dTz/9tEdQj4iI8HqO+ldffdXu52x+Tb2F3OaQGRUVpZiYmLO23d62mrW1Hs6cFhwcrL59+2ratGl6+umnvc5z+s6bM/3xj3/U9OnT9e///u8e5c07IDojJCREYWFhbS5vdHS0R3lrV4zv7HsGABCYGPoOAOj2GhoaJH1zdLJZR29r1rdvX3dbXfWczcrKylRSUqIbb7zRPcT/9L+bbrpJ77zzjj755BP3PHFxcdq5c6dHO8ePH9f777/fov3Wlu2aa65Rnz599Ne//tWjvLGxUevWrdPo0aMVERGhcePGKTw8XK+88kqry9Detjpr6tSp2rx5s3r16uX1NQoLC2t13oaGhhbr6tNPP9WHH37oUda3b193/fa4/vrrtXHjxhY7TP7yl7+4pwMAcCaCOgCg27vyyis1cOBAPf744/r6669VV1envLw8lZSUqHfv3u1uJyEhQZ9++qm++OKLLnvOZk8//bSCg4Nb3AKu2aRJkxQcHOxxq7Yf/ehH+vjjj/V///d/amxs1IEDB3T33Xdr1KhR7V62QYMG6f7779cLL7ygP/zhD6qtrdWRI0f04x//WHv37tWiRYsknToSvnjxYq1evVoPP/ywvv76a7lcLm3fvl233357h9rqrMcff1wNDQ265ZZbtHXrVjU1NammpkYffvih7rrrLn300Uetzjt16lStXr1a7777rgzDUHl5uebMmaNrrrmmxeskSRs3bmxXnxYuXCiHw6HZs2frq6++Un19vV588UUtX75cc+bM8bhNHgAAzQjqAIBuLyIiQq+99pqqqqp0/vnna8CAASosLNRzzz3XoXYefPBBXXHFFRo2bJgiIyNb3GvcjOeUpNraWr3wwgsaP368+/ztM/Xr10/jxo3Tn/70J/fR3u9///t65JFH9J//+Z/q27evpkyZon/7t39TXFxch5btN7/5jR5//HEtWbJE5513ngYNGqTt27frb3/7m6ZOnequd9999+mVV17Rm2++qcGDB6tfv3667bbblJ6e3uG2OuPiiy/Whx9+qKFDh2rixIkKCwvToEGDdO+99+qaa65RUlJSq/MuW7ZMN910kyZPnqzQ0FDNnj1bjz/+eIt1PHbsWN1///3Kzs5W3759Pe6j7s3VV1+tv//97zp8+LDsdrvCw8P10EMPaf78+VqxYsU5LS8AoPuyGZz0BAAIcA6HQ7169VK/fv3OWre+vl59+vSRzWaTdOpe4yEhIQoNDZV06srqktpsq6GhQdXV1ZK+Gdp+8uRJGYbhdb6zPWdb80qSy+WSw+Fwn/PcmpqaGtXV1SkiIsLjXGfDMFRXV+d+vurqajU2NnodZu5t2U5XW1uroKAgBQW1fZmbxsZGGYbR4srs7W2rtfVgGIaqqqoUFhbW5jnn0qnXw9vrVV9fr+rq6havU3P7DQ0N7nPgW3utDMOQ0+lUU1OT+vXrp6CgoDbblU5d9K++vt5rn+rq6lRTU6PIyEj3+6R5nhMnTig8PLzN1xIA0L0Q1AEAAAAAsBCGvgMAAAAAYCFdEtQ/++wzFRQUqKKiot3zlJWVae3atdq1a9c51QEAAAAAIJCYGtRLS0s1ZcoUTZ06VTNmzNA777xz1nnq6+t18803a+LEicrJydHYsWM1d+5cj/uHtqcOAAAAAACBqO0rwZyjI0eO6P7779eUKVO8XlTFm5ycHBUXF2vr1q2y2+0qLy9XSkqKUlNTNXv27HbXAQAAAAAgEHXZxeRsNptyc3N12223tVlv5MiRmjBhgn73u9+5y773ve/J6XRq/fr17a4DAAAAAEAgMvWIekc1NjZq586duu+++zzKk5OT9dRTT7W7jjd1dXWqq6tzP3a5XDp69KhiYmI8boMCAAAAAIAZDMPQiRMndMEFF7Q56txSQb35fqTR0dEe5TExMTp+/Hi763izePFiLVy40NddBgAAAACgQyorK2W321udbqmgHhISIkmqrq72KHc6nQoNDW13HW/mz5+v7Oxs9+OqqipdeOGFqqysVEREhE/67yvL3vxE/+/dvWpytTwroXcvm354bZzun3yJH3oGAAAAAOgsh8Oh2NhYnXfeeW3Ws1RQDwsL05AhQ1rcxq2iokIjRoxodx1vQkJC3CH/dBEREZYL6rdPuEx/2nJQvbxcPcBmk+6YcJkiIsK7vmMAAAAAgHN2ttOvu+Q+6m3ZsWOHCgsL3Y/T0tK0evVquVwuSVJtba3Wrl2rtLS0DtUJZMMHhOvxjGT1Om3d9bbZ1MsmPZ6RrLgBhHQAAAAA6K5MPaJ+6NAhj3unl5SUKDQ0VMOHD9dVV10lScrPz1dOTo77/PIFCxZozJgxysjI0LRp05SXl6egoCCPYevtqRPoZqTE6vKhEUp7YrMk6Ufj4nTb1cMI6QAAAADQzZl6RP3gwYPKy8tTXl6eMjIydODAAeXl5amkpMRdJzExUenp6e7HcXFxKi0tVUJCgjZu3Kjx48erpKREMTExHarTHQyL+SaUZ0++hJAOAAAAAD1Al91H3WocDociIyNVVVVluXPUm1XXNypxwTpJ0o7HpqhvsKUuKQAAAAAA6ID25lC/n6MOAAAAAAC+QVAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhQR1xZOUlZVp3759io+PV0JCQpt1169fL4fD0aJ8yJAhGjdunCRp165d2r59u8f04OBgTZ8+3XedBgAAAADAD0wN6vX19crMzNSmTZs0atQolZSUaMaMGVq5cqVsNpvXef7617/qwIED7scul0tr1qzRnXfe6Q7qBQUFWrZsmSZOnOiuFx4eTlAHAAAAAAQ8U4N6Tk6OiouLtXXrVtntdpWXlyslJUWpqamaPXu213meeOIJj8fr16/XmjVrNGfOHI/y+Ph4FRQUmNZ3AAAAAAD8wdRz1HNzczVz5kzZ7XZJUlJSktLS0pSbm9vuNp555hklJSXpmmuu8SivqanRunXrVFRUpKNHj/q03wAAAAAA+ItpQb2xsVE7d+5UcnKyR3lycrLKysra1caRI0f02muv6a677moxbffu3VqyZImys7Nlt9u1dOnSNtuqq6uTw+Hw+AMAAAAAwGpMC+pOp1NNTU2Kjo72KI+JidHx48fb1cYLL7wgSS2GyaempqqiokIbNmzQhx9+qGeffVYPPPCANmzY0GpbixcvVmRkpPsvNja2YwsEAAAAAEAXMC2oh4SESJKqq6s9yp1Op0JDQ9vVxjPPPKOMjAz179/fo3zcuHEeOwCysrI0cuRIFRYWttrW/PnzVVVV5f6rrKxs76IAAAAAANBlTLuYXFhYmIYMGaKKigqP8oqKCo0YMeKs83/wwQfatm2bnnzyyXY9X2RkpA4dOtTq9JCQEPfOAwAAAAAArMrUi8mlpaVp9erVcrlckqTa2lqtXbtWaWlp7jo7duzweiT8mWeeUXx8vFJTU1tMO3jwoMfjyspKlZaWKiUlxbcLAAAAAABAFzP19mwLFizQmDFjlJGRoWnTpikvL09BQUHKzs5218nPz1dOTo7HeevV1dXKy8vTL37xC6/tpqena+zYsRo9erQOHz6s5cuXKykpSfPmzTNzcQAAAAAAMJ2pR9Tj4uJUWlqqhIQEbdy4UePHj1dJSYliYmLcdRITE5Wenu4xX3l5uSZPnqw77rjDa7tFRUUaOXKkiouLVVlZqUWLFum9995Tv379zFwcAAAAAABMZzMMw/B3J/zB4XAoMjJSVVVVioiI8Hd3vKqub1TignWSpB2PTVHfYFMHQAAAAAAATNTeHGrqEXUAAAAAANAxBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYSFBXPElZWZn27dun+Ph4JSQktFl3165d2r59u0dZcHCwpk+ffk7tAgAAAAAQCEwN6vX19crMzNSmTZs0atQolZSUaMaMGVq5cqVsNpvXeQoKCrRs2TJNnDjRXRYeHu4R1DvTLgAAAAAAgcDUoJ6Tk6Pi4mJt3bpVdrtd5eXlSklJUWpqqmbPnt3qfPHx8SooKPB5uwAAAAAAWJ2p56jn5uZq5syZstvtkqSkpCSlpaUpNze3zflqamq0bt06FRUV6ejRoz5rFwAAAAAAqzMtqDc2Nmrnzp1KTk72KE9OTlZZWVmb8+7evVtLlixRdna27Ha7li5des7t1tXVyeFwePwBAAAAAGA1pgV1p9OppqYmRUdHe5THxMTo+PHjrc6XmpqqiooKbdiwQR9++KGeffZZPfDAA9qwYcM5tbt48WJFRka6/2JjYzu9bAAAAAAAmMW0oB4SEiJJqq6u9ih3Op0KDQ1tdb5x48Z5hPCsrCyNHDlShYWF59Tu/PnzVVVV5f6rrKzs2AIBAAAAANAFTLuYXFhYmIYMGaKKigqP8oqKCo0YMaJDbUVGRurQoUPn1G5ISIg75AMAAAAAYFWmXkwuLS1Nq1evlsvlkiTV1tZq7dq1SktLc9fZsWOH+2i5JB08eNCjjcrKSpWWliolJaVD7QIAAAAAEIhMvT3bggULNGbMGGVkZGjatGnKy8tTUFCQsrOz3XXy8/OVk5PjPr88PT1dY8eO1ejRo3X48GEtX75cSUlJmjdvXofaBQAAAAAgEJl6RD0uLk6lpaVKSEjQxo0bNX78eJWUlCgmJsZdJzExUenp6e7HRUVFGjlypIqLi1VZWalFixbpvffeU79+/TrULgAAAAAAgchmGIbh7074g8PhUGRkpKqqqhQREeHv7nhVXd+oxAXrJEk7HpuivsGmDoAAAAAAAJiovTnU1CPqAAAAAACgYwjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsJCgrniSsrIy7du3T/Hx8UpISDhr/ZMnT+qjjz5SQ0ODRo4cqQEDBnhM37Vrl7Zv3+5RFhwcrOnTp/u03wAAAAAAdDVTg3p9fb0yMzO1adMmjRo1SiUlJZoxY4ZWrlwpm83mdZ7HHntMK1as0PDhw9W7d29t2bJFjz76qB588EF3nYKCAi1btkwTJ050l4WHhxPUAQAAAAABz9SgnpOTo+LiYm3dulV2u13l5eVKSUlRamqqZs+e7XWeQYMGadeuXTrvvPMkSa+++qpuueUWpaamasyYMe568fHxKigoMLP7AAAAAAB0OVPPUc/NzdXMmTNlt9slSUlJSUpLS1Nubm6r89x9993ukC5JN998s4KDg/XRRx951KupqdG6detUVFSko0ePmrMAAAAAAAB0MdOCemNjo3bu3Knk5GSP8uTkZJWVlbW7nc2bN6u+vl5JSUke5bt379aSJUuUnZ0tu92upUuXttlOXV2dHA6Hxx8AAAAAAFZj2tB3p9OppqYmRUdHe5THxMTo+PHj7Wrj2LFjmjNnjm644QZdd9117vLU1FTde++97rbz8vI0a9YsXXHFFZo0aZLXthYvXqyFCxd2bmEQ8PYcPqn8LZXaf6xG9ugwZabEaviAcH93CwAAAABaMO2IekhIiCSpurrao9zpdCo0NPSs8zscDqWlpSkqKkovvfSSx7Rx48Z57ADIysrSyJEjVVhY2Gp78+fPV1VVlfuvsrKyI4uDAJa/pVKTfrtRf3xnt/5a9oX++M5uTfrtRr2yhfcAAAAAAOsx7Yh6WFiYhgwZooqKCo/yiooKjRgxos15T5w4oalTp6qxsVFvvfWWIiIizvp8kZGROnToUKvTQ0JC3DsP0HPsOXxSD68qk8uQZBinCv/170OryjQmrr/iOLIOAAAAwEJMvZhcWlqaVq9eLZfLJUmqra3V2rVrlZaW5q6zY8cOjyPhTqdTU6dOVX19vd58801FRUW1aPfgwYMejysrK1VaWqqUlBRzFgQBK39LZau3ArTZbHqZo+oAAAAALMbU27MtWLBAY8aMUUZGhqZNm6a8vDwFBQUpOzvbXSc/P185OTnu89ZvuukmlZWVadmyZdqwYYO7XmJiohITEyVJ6enpGjt2rEaPHq3Dhw9r+fLlSkpK0rx588xcHASg/cdqZDQfST+DYRjaf6ymi3sEAAAAAG0zNajHxcWptLRUv//977Vx40aNHz9eeXl5iomJcddJTExUenq6+/H555+vKVOm6I033vBoKzMz0x3Ui4qK9Pzzz6u4uFh9+/bVokWLNGvWLPXu3dvMxUEAskeHnTqi7iWs22w22aPD/NArAAAAAGidzWjtcGM353A4FBkZqaqqqnadA+8P1fWNSlywTpK047Ep6hts6n6VbmnP4ZOa9NuNp85RP0Mvm/T3B1I5Rx0AAABAl2hvDjX1HHXA34YPCNfjGcnqddpp6r1tNvWySY9nJBPSAQAAAFgOh2jR7c1IidXlQyOU9sRmSdKPxsXptquHEdIBAAAAWBJBHT3CsJhvQnn25Es4jQAAAACAZTH0HQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWEiQvzsA4Bt7Dp9U/pZK7T9WI3t0mDJTYjV8QLi/uwUAAACgCxHUAYvI31Kph1eVyWazyTAM2Ww2rSj6XI9nJGtGSqy/uwcAAACgixDUAQvYc/ikHl5VJpchyTBOFf7r34dWlWlMXH/FcWQdAHAaRmEB1uPrzyWf856LoA5YQP6WStlstm9C+mlsNpte3lKph6Ym+KFnAAArYhQWYD2+/lzyOe/ZuJgcYAH7j9XI8BLSJckwDO0/VtPFPQIAWNXpo7CaXIbHvw+tKtPewyf93UWgx/H155LPOTii3o289/kRf3fBsmobmtz/f3/3UYX26e3H3rRka8d01i8AQJL+/EFFm9OXvvmJZo29sIt6A0Dy/eeSz3nHXXNRjL+74FMcUQcsIPXSgfJ+PF0yJE28dFBXdgcAYGFfO+va/M342lnXld0BIN9/LvmcgyPqOGdfVtVo48df62tnnQb2C1HqpQN1fmSYv7sVUM6PDNO860doxTu73aep97Kd+iKed/0IDYkM9Wv/ADPw3QF0zsB+IbJJXjfibf+ajo7h+8j6rL6OfP255HMOgjrOycaPD+mPm3a7v0hsktaWfaF514/QhEs4CtwREy4ZpLiYcD28epskaerlQzT5siE9JqRb/QcYvsV3B9B5qZcO1NqyL7xOYxRWx/F9ZH1mrSNfbnv4+nPJ5xwEdXTal1U1+uOmU0eAm/f2Nf+74p3dunRwRI8Jmb4yOOKb12vGVbGWO5e+ma9DNRtJPYuZ3x3s8EFPwCgs32FbxvrMWke+3vbw9eeSzzkI6ui0jR9/3eaQnLc/PsRFLrohX/+wsZHU85j13cEOH/QkjMLyzU45tmWsz4x1ZNa2h68/lz39c97TEdR7GF8ebeIiFz2PGT9sbCT1PGZ8d7DDx5zRBIxQ8B0zXstAGYXla77cKRdo2zI98TNpxjoyc9vD15/Lnvo5RxcF9bKyMu3bt0/x8fFKSEjw2Tydabcn8/XRJi5y0fOY8cNm5kZST9ygCQRmfHf09B0+ZowmYISC7/Ba+o6vd8qZuS3DaWK+YcY6CrQdNOiZTL09W319vW6++WZNnDhROTk5Gjt2rObOnSvDaO2j0b55OtNuT3f6D5vLkMe/K97Zra+qajvcJrcU63nM+GFr/gH25lw2kjZ+fEgPvLJVfyn7Qv/YfUR/KftCD7yyVUWfHOpUe/AdM747evJGlxnf72a02VPxWvpW8045b5p3ynWEWdsyvv4N6snvIzPWkVnbHoAvmRrUc3JyVFxcrK1bt2rDhg1677339NJLL+mFF144p3k6025P5+sfNumbi1zYTmu4l02y2bjIRXdlxg+bGT/APXmDJhCY8d3Rkze6zPh+N6PNnorX0rd8vVPOjO8jM36DevL7yIx1xMEmBAJTh77n5uZq5syZstvtkqSkpCSlpaUpNzdXs2fP7vQ8nWm3NdX1jQqqb+zsIpqq+rR+Vbejj7UNTa1OO+iobfML6aCjts35W3P18BhdEBmqBYU7JEmTLxusiQmDNDgitFPtmaXutL7UWahfZ7J6P6+5KKbNW4Vce1FMh9d7dN9gzbl2uJ4t3uN+jzZf1XTOtcMV1bdPh9t8a+fBNofJvbnzK824KrZDbcK3fP3dYcZ7M1CY8f1u1m9GT2Tma2n13wwzRPft0+b3e3QnfjN8/X1kxm9QT/9M+nodmbHt0czXn0szPudfOWq16dOvdcRZr5h+wRofP1BDIgL/AFt78pIVtLefNsOk8eKNjY0KDQ3V73//e/34xz92lz/66KN66qmn9NVXX3Vqns60K0l1dXWqq/tmL6vD4VBsbKxif56vXiF9fbHIAAAAAAC0ylVXrcqcTFVVVSkiIqLVeqYNfXc6nWpqalJ0dLRHeUxMjI4fP97peTrTriQtXrxYkZGR7r/YWI6mAQAAAACsx7Sh7yEhp84HrK6u9ih3Op0KDfU+tKI983SmXUmaP3++srOz3Y+bj6h/8MikNvdkBJL3dx9tc/rmTw/r2Xf3eFwttHmIz7j4AV3Qw/ara2jS3S+WSpKeuvVKhVjwVhSB0EcpcPrpS185avWfa7bJ23ghm01afMtIj9ud+KtNSdr06dd6rniv16F3nflc+ro9s9oMBGatc8n3n0szvt993aZZ76OKIyf1q7WnhsNOSRys1IRB5zyE09dtBsLvb6B8xzU76KjVO6cN3b0+fmCnP4++ZtZradb7yNffRz31NyMQvPJhpd7Y/pVcXt6bvWyn7tPe2VMDffk+6uxn6OoR/Tv9nF3J4XDo/Jyz1zMtqIeFhWnIkCGqqKjwKK+oqNCIESM6PU9n2pVOBfzmkH+6vsFB6hvcPW4nf7b7Kn4ncbAuHxqptz8+5L5VyMRLB1n+om8hfXpb/p6RVu7jV45vLlpTWPaFvnPZ4G5/i7K4mHDNu36EVryzu8UGzbzrR2hYTHiH23zv8yNtnnP47udHOnz7ry+ravTcu3s92mz+8Xz23T26fGhkhz6fvm7PrDYDhRnr3BtffH+Y8f3uyzbNeh81366q2Zs7D2r9zoM+uS2dL9sMhN/fQPiOO92wmHDN7sR3eVcw4zdI6pr30bl+H/Xk34xAcKy6oc1rHRyrbvDJ9uy5vo86+30UKJmusZ39NHVp0tLStHr1aj3yyCPq1auXamtrtXbtWt1xxx3uOjt27NBnn32m6dOnt3ue9tSBd0MiQ7v1vYTh6cwNzje2f6XXt3/V7e+5KkkTLhmkSwdH+GyDxozbf/n63t9m3Eu8J9+fPNBu+WbG97uv2jTjfXT6lbWbNQeCztxP26w2m1n99zcQvuMCia9/g5pZ/X3Uk9d5IDDjnvTNTj8w9MqHled0YCjQfn/NYurt2RYsWKD9+/crIyNDTz/9tG644QYFBQV5DEHPz8/X7bff3qF52lMH6Ola2+DsSbcoa96g+bdvx2vW2AvPaQPJjNt/+fqHyIwftp78Y2nmLd/O3KD5sqqm020FAjNDoDfclq7jAuE7LtD48jcoUPT0dW51Zt2WbuPHh/Sfa7a5H7+x/Ss98MpWFX3Sue/MnnzL1dOZGtTj4uJUWlqqhIQEbdy4UePHj1dJSYliYmLcdRITE5Went6hedpTB+jpevIGpxnM+HHz9Q+RGT9sPfnHMlA2aAJBoITAnhwyAuE7DtbHOre20+9J33wv+nO9J70ZB4a4z/0ppg/kj42N1eLFi1udnpmZqczMzA7N0946QE/Wkzc4zdD849baOYed+XFLvXRgm/f+7ugPka/bM6vNQGHGOjdzaLWVmfE+MmMIp5nDQq0uEL7jYH2sc+vz9WkZZpzuYMb3USAKjDPuAXRYT97gNIuvf9x8/UNkxg9bT/+xDIQNmkAQKCGwp4cMq3/HwRy+PLeYdR4YfHmtA7MODJl1nYdAQlAHuqmevsFpFl9fyMfXP0Rm/LD19B/LQNigCQSBEAIJGdb/joNvmXHRWdZ5z2LmgSGrXzzRbAR1oJN8uQfaDGxwBg5f/xBZ+erfPV1PH+kSCCGQkOF7fH9YU0++ywF8hwND5iGoA50QKLc9Y4MTsBY2aHyPHVNA5/TUU3HgWxwYMg9BHeigQLsYFBucgHWwQQPAKnryqTjwLQ4MmYOgDnQQe6ABnAs2aABYQU8/FQe+xYEh3yOodyPXXNR97iNfXd/o/v/VI/qrb7B13qovfVDR5nRD3WtdADDHLVcO9XcXAPRgQyJD9ZdWTsWRpOzJlyhuQHgX9gjA6Xr5uwNAoLFHh8lms3mdZrPZZI+2zgXlAAAAvBk+IFyPZySrl03q3cvm8e/jGcmEdMDPrHOYEggQmSmxWlH0uddphmFoZkpsF/cIAACg42akxGpMXH+9vKVS+4/VyB4dppkpsYR0wAII6kAHNe+BfmhVmWw2mwzDcP/LHmgAABBI4gaE66GpCf7uBoAzENSBTmAPNAAAAACzENSBTmIPNAAAAAAzcDE5AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALCQoK54krKyMu3bt0/x8fFKSEg4a/2TJ0/qo48+UkNDg0aOHKkBAwZ4TN+1a5e2b9/uURYcHKzp06f7tN8AAAAAAHQ1U4N6fX29MjMztWnTJo0aNUolJSWaMWOGVq5cKZvN5nWexx57TCtWrNDw4cPVu3dvbdmyRY8++qgefPBBd52CggItW7ZMEydOdJeFh4cT1AEAAAAAAc/UoJ6Tk6Pi4mJt3bpVdrtd5eXlSklJUWpqqmbPnu11nkGDBmnXrl0677zzJEmvvvqqbrnlFqWmpmrMmDHuevHx8SooKDCz+wAAAAAAdDlTz1HPzc3VzJkzZbfbJUlJSUlKS0tTbm5uq/Pcfffd7pAuSTfffLOCg4P10UcfedSrqanRunXrVFRUpKNHj5qzAAAAAAAAdDHTgnpjY6N27typ5ORkj/Lk5GSVlZW1u53Nmzervr5eSUlJHuW7d+/WkiVLlJ2dLbvdrqVLl7bZTl1dnRwOh8cfAAAAAABW06Gh7+Xl5dq5c2ebdSZMmKCBAwfK6XSqqalJ0dHRHtNjYmJ0/Pjxdj3fsWPHNGfOHN1www267rrr3OWpqam699573W3n5eVp1qxZuuKKKzRp0iSvbS1evFgLFy5s1/MCAAAAAOAvHQrq27ZtO+t54ZdddpkGDhyokJAQSVJ1dbXHdKfTqdDQ0LM+l8PhUFpamqKiovTSSy95TBs3bpzH46ysLC1atEiFhYWtBvX58+crOzvbo/3Y2Niz9gMAAAAAgK7UoaCelZWlrKysdtUNCwvTkCFDVFFR4VFeUVGhESNGtDnviRMnNHXqVDU2Nuqtt95SRETEWZ8vMjJShw4danV6SEiIe+cBAAAAAABWZerF5NLS0rR69Wq5XC5JUm1trdauXau0tDR3nR07dqiwsND92Ol0aurUqaqvr9ebb76pqKioFu0ePHjQ43FlZaVKS0uVkpJizoIAAAAAANBFTL0924IFCzRmzBhlZGRo2rRpysvLU1BQkMcQ9Pz8fOXk5LjPW7/ppptUVlamZcuWacOGDe56iYmJSkxMlCSlp6dr7NixGj16tA4fPqzly5crKSlJ8+bNM3NxAAAAAAAwnalBPS4uTqWlpfr973+vjRs3avz48crLy1NMTIy7TmJiotLT092Pzz//fE2ZMkVvvPGGR1uZmZnuoF5UVKTnn39excXF6tu3rxYtWqRZs2apd+/eZi4OAAAAAACmsxmGYfi7E/7gcDgUGRmpqqqqdp0Dj65VXd+oxAXrJEk7HpuivsGm7lMCAAAAANO1N4eaeo46AAAAAADoGII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALCSoK56krKxM+/btU3x8vBISEtqsu2vXLm3fvt2jLDg4WNOnTz+ndgEAAAAACASmBvX6+nplZmZq06ZNGjVqlEpKSjRjxgytXLlSNpvN6zwFBQVatmyZJk6c6C4LDw/3COqdaRcAAAAAgEBgalDPyclRcXGxtm7dKrvdrvLycqWkpCg1NVWzZ89udb74+HgVFBT4vF0AAAAAAKzO1HPUc3NzNXPmTNntdklSUlKS0tLSlJub2+Z8NTU1WrdunYqKinT06FGftQsAAAAAgNWZFtQbGxu1c+dOJScne5QnJyerrKyszXl3796tJUuWKDs7W3a7XUuXLj3nduvq6uRwODz+YF17j5x0/3/pm59oz+GTbdQGAAAAgO6jQ0Pfy8vLtXPnzjbrTJgwQQMHDpTT6VRTU5Oio6M9psfExOj48eOtzp+amqp7773XPV9eXp5mzZqlK664QpMmTep0u4sXL9bChQvbXkBYQv6WSj286pudLs9t3qtnN+/R4xnJmpES68eeAQAAAID5OhTUt23b1ua545J02WWXaeDAgQoJCZEkVVdXe0x3Op0KDQ1tdf5x48Z5PM7KytKiRYtUWFioSZMmdbrd+fPnKzs72/3Y4XAoNpbQZzV7Dp/Uw6vK5DK+KWsyTj14aFWZxsT1V9yAcD/1DgAAAADM16GgnpWVpaysrHbVDQsL05AhQ1RRUeFRXlFRoREjRnTkaRUZGalDhw6dU7shISHukA/ryt9SeerK/YbRYprNZtPLWyr10FRuxQcAAACg+zL1YnJpaWlavXq1XC6XJKm2tlZr165VWlqau86OHTtUWFjofnzw4EGPNiorK1VaWqqUlJQOtYvAtP9YjQwvIV2SDMPQ/mM1XdwjAAAAAOhapt6ebcGCBRozZowyMjI0bdo05eXlKSgoyGMIen5+vnJyctznl6enp2vs2LEaPXq0Dh8+rOXLlyspKUnz5s3rULsITPbosDaPqNujw/zQKwAAAADoOqYeUY+Li1NpaakSEhK0ceNGjR8/XiUlJYqJiXHXSUxMVHp6uvtxUVGRRo4cqeLiYlVWVmrRokV677331K9fvw61i8CUmRLb5hH1mVxMDgAAAEA3ZzNaS0XdnMPhUGRkpKqqqhQREeHv7uA0r2yp1EOrymSz2WQYhvtfrvoOAAAAIJC1N4eaOvQd6IwZKbEaE9dfL2+p1P5jNbJHh2lmSixXewcAAADQIxDUYUlxA8K5ujsAAACAHsnUc9QBAAAAAEDHENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWEhQVzxJWVmZ9u3bp/j4eCUkJLRZd/369XI4HC3KhwwZonHjxkmSdu3ape3bt3tMDw4O1vTp033XaQAAAAAA/MDUoF5fX6/MzExt2rRJo0aNUklJiWbMmKGVK1fKZrN5neevf/2rDhw44H7scrm0Zs0a3Xnnne6gXlBQoGXLlmnixInueuHh4QR1AAAAAEDAMzWo5+TkqLi4WFu3bpXdbld5eblSUlKUmpqq2bNne53niSee8Hi8fv16rVmzRnPmzPEoj4+PV0FBgWl9BwAAAADAH0w9Rz03N1czZ86U3W6XJCUlJSktLU25ubntbuOZZ55RUlKSrrnmGo/ympoarVu3TkVFRTp69KhP+w0AAAAAgL+YFtQbGxu1c+dOJScne5QnJyerrKysXW0cOXJEr732mu66664W03bv3q0lS5YoOztbdrtdS5cubbOturo6ORwOjz8AAAAAAKymQ0Pfy8vLtXPnzjbrTJgwQQMHDpTT6VRTU5Oio6M9psfExOj48ePter4XXnhBkloMk09NTdW9997rbjsvL0+zZs3SFVdcoUmTJnlta/HixVq4cGG7nhcAAAAAAH/pUFDftm3bWc8Lv+yyyzRw4ECFhIRIkqqrqz2mO51OhYaGtuv5nnnmGWVkZKh///4e5c0XlWuWlZWlRYsWqbCwsNWgPn/+fGVnZ7sfOxwOxcbGtqsfAAAAAAB0lQ4F9aysLGVlZbWrblhYmIYMGaKKigqP8oqKCo0YMeKs83/wwQfatm2bnnzyyXY9X2RkpA4dOtTq9JCQEPfOAwAAAAAArMrUi8mlpaVp9erVcrlckqTa2lqtXbtWaWlp7jo7duxQYWFhi3mfeeYZxcfHKzU1tcW0gwcPejyurKxUaWmpUlJSfLsAAAAAAAB0MVNvz7ZgwQKNGTNGGRkZmjZtmvLy8hQUFOQxBD0/P185OTke561XV1crLy9Pv/jFL7y2m56errFjx2r06NE6fPiwli9frqSkJM2bN8/MxQEAAAAAwHSmHlGPi4tTaWmpEhIStHHjRo0fP14lJSWKiYlx10lMTFR6errHfOXl5Zo8ebLuuOMOr+0WFRVp5MiRKi4uVmVlpRYtWqT33ntP/fr1M3NxAAAAAAAwnc0wDMPfnfAHh8OhyMhIVVVVKSIiwt/dAQAAAAB0c+3NoaYeUQcAAAAAAB1DUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFdElQ/+yzz1RQUKCKiop2z1NWVqa1a9dq165d51QHAAAAAIBAYmpQLy0t1ZQpUzR16lTNmDFD77zzzlnnqa+v180336yJEycqJydHY8eO1dy5c2UYRofqAAAAAAAQiILMbPzIkSO6//77NWXKFPXq1b59Ajk5OSouLtbWrVtlt9tVXl6ulJT/397dB0VVvXEA/4ILq+iguDg4CIOIqYGbL2CKr5QvCJGIpJKKOTColE4N1h9m5pjNaGMmSTNJ08Toqq2oIGiBmKOpULgiyraYhihvEprKwoK8uff3R+39tYGmlXuv7vcz4x/3OQfmmTkezn3uy7lBCAkJQWxs7EP3ISIiIiIiInoSPdY76tOnT8fMmTPh4ODw0D+j0Wgwf/58eHl5AQACAgIQFhYGjUbzSH2IiIiIiIiInkSP9Y76o+ro6MDFixexcuVKq/hzzz2H7du3P3SfrrS2tqK1tVU8NhqNAICGhob/Kn0iIiIiIiKi+7LUn3/32vYjFeoGgwEXL158YJ8pU6agX79+j/JrRSaTCffu3YObm5tVXKVSob6+/qH7dGXjxo1Yv359p7i3t/c/ypWIiIiIiIjon2hsbETv3r3v2/5Ihbper8f+/fsf2OfZZ5/9x4W6UqkEADQ3N1vFTSYTunfv/tB9urJ69WokJSWJx2azGbdv34ZKpXqkR/NtraGhAd7e3qiqqoKrq6vU6dBfcHzkj2Mkbxwf+eMYyRvHR944PvLHMZK3p3F8BEFAY2MjPD09H9jvkQr1mJgYxMTE/KvEHqRHjx7o379/p8+4VVZWYtCgQQ/dpytKpVIs8i369Onz3yRuA66urk/Nf86nEcdH/jhG8sbxkT+OkbxxfOSN4yN/HCN5e9rG50F30i1s8h31ByktLUV2drZ4HBYWhoyMDJjNZgBAS0sLDh06hLCwsEfqQ0RERERERPQkeqybyd24ccPq2+k6nQ7du3eHr68vAgMDAQDp6elITk4W3y9///33MWbMGERHRyM8PBxarRYKhcLqsfWH6UNERERERET0JHqsd9Tr6uqg1Wqh1WoRHR2NmpoaaLVa6HQ6sY+/vz8iIyPF44EDB+LcuXMYNmwYTpw4gUmTJkGn00GlUj1Sn6eFUqnEunXrOj22T/LA8ZE/jpG8cXzkj2MkbxwfeeP4yB/HSN7seXwchL/bF56IiIiIiIiIbEbyd9SJiIiIiIiI6P9YqBMRERERERHJCAt1IiIiIiIiIhl5rLu+079TX1+P/Px8KBQKTJgwAb169ZI6JfqDTqfDlStXrGJubm4IDQ2VKCMCgNOnT6O6uhqRkZHo0aNHp/a2tjYUFBTAaDRizJgx8PT0lCBL+1VVVYWCggKo1Wr4+/tbtVVUVOCHH37o9DPR0dFwcnKyVYp27dKlS7h8+TI8PT0xatQoODp2vpbPdUk6t27dQlFREZycnDBy5Ei4ublZtXNdkp7BYMCVK1fg6emJ0aNHdzmHrl69igsXLqBfv34YN24cunXrJkGm9unmzZsoKiqCs7MzRo4cib59+1q1f/vtt2hoaLCKDRkyBKNHj7ZlmnbPaDQiJycHXl5emDhxYqf24uJiXLt2DYMHD4ZarZYgQ9thoS5TOTk5iImJgb+/P1paWlBTU4Ps7GyMGzdO6tQIQGpqKo4ePYrg4GAxNnDgQJ4QSWTPnj348MMP0d7ejrKyMlRVVcHLy8uqz7Vr1zB9+nQAgJeXFwoLC/HJJ59g+fLlUqRsV8rKyvD222+juLgYv/32G1avXt2pUD916hQSEhKsvgICALNmzWKh/pjp9XosXboU9fX1GDx4MEpKStCnTx9kZWVh4MCBYj+uS9Iwm81ITEzE4cOHERAQgKamJuj1eqSkpOC1114T+3Fdkk5paSni4uLQ0tICHx8fFBcXw8XFBd988w38/PzEfhs2bMCmTZsQHByMy5cvw93dHXl5eXB3d5cwe/vwxhtv4PDhwxg+fDju3LmDkpISbN68GYmJiWKfpKQk9OzZE88884wYCw0NZaFuYwkJCcjKykJYWJhVod7W1oa5c+ciPz8fgYGBKCwsREREBHbu3NnlRbGngkCy09jYKKhUKmHNmjVibMmSJYKfn59w7949CTMji/j4eGH+/PlSp0F/2LFjh2AwGITjx48LAISqqqpOfUJDQ4WQkBChvb1dEARBSEtLExQKhfDLL7/YOl27c/bsWSEjI0Po6OgQfHx8hA0bNnTqo9FoBA8PDwmyo/z8fKGwsFA8bmlpEYKDg4WwsDAxxnVJOm1tbUJqaqrQ1tYmxrZt2yY4OTkJ1dXVYozrknR0Op3w008/icdtbW1CYGCgMG/ePDFWUFAgABCOHj0qCIIgmEwmISAgQFiyZInN87VHGo1G6OjoEI+3bdsmODo6Cnfu3BFjQ4cOFVJSUiTIjixSU1OFSZMmCS+//LIQGRlp1bZ582bB3d1dPMe7dOmS4OLiInz55ZcSZGobT+nlhydbbm4u7ty5gzfffFOMJSUl4cqVK10+GkrSuH37NrKysnDy5EkYjUap07Frixcv7nSH9s9u3LiBvLw8rFy5EgrF7w8SxcbGws3NDXv37rVVmnYrMDAQUVFRf/uIZ0dHB44cOYIjR46gpqbGRtnR+PHj8fzzz4vHSqUSEREROH/+vBjjuiQdJycnLF261OrJkujoaLS3t8NgMFj15bokjaCgIAQEBIjHTk5OGDRoEBobG8XY7t27oVarMW3aNABAz549sWzZMqSnp6Otrc3mOdubRYsWWa1BQ4cOhdlsRlNTk1W/8vJyZGZmQqfTcVxszGAwYN26ddBoNF3eId+1axfmzp0rPjE5ZMgQREREYNeuXbZO1Wb46LsM6fV6eHh4oF+/fmIsICAAjo6O0Ov1mDBhgoTZkUVxcTFSU1NRXV2NyspKpKSkIDY2Vuq0qAsGgwGCIGD48OFirFu3bvD394der5cwM/qz5uZmfPTRR+jo6EBhYSESExOxdetWODg4SJ2a3Tl27JjVfOG6JC/fffcdHB0dO12g5LokrczMTDQ2NuLs2bPQ6XQ4cOCA2KbX663mFACo1Wo0NzejvLwcw4YNs3W6dqekpASlpaW4fv06UlNTsX79egwYMMCqT1ZWFi5fvoySkhI4Oztjz549Vhcy6fG4e/cu5s+fjy1btsDHx6dTu9lshsFgwNKlS63iarUaycnJNsrS9lioy5DRaOy0wYWjoyP69OmD+vp6aZIiKwsXLsRnn32G7t27AwA+/vhjxMfHIzAw8IF3dkkaljtLf51XKpWKc0om1Go1ysrKxA3+CgoKEBISgoCAACQkJEicnX359NNPcerUKZw6dUqMcV2Sj/LyciQlJWHFihVWe3FwXZJeTk4O6urqUFRUhKCgIHh4eIhtRqOx08ZXKpUKADiHbMRgMCAzMxPXrl2D2WzudOEkOTkZM2fOBPD7+9CLFi3CvHnz8PPPP4vzih6Pt956CyNGjMCCBQu6bG9ubkZHR4fdncfx0XcZUiqVMJlMneJNTU38QyETL7zwgtVYrFq1Cj179kRubq6EWdH9KJVKAOg0r0wmE+eUTIwYMcJqF/7x48cjLCwMhw4dkjAr+6PRaPDOO+9g586dGDt2rBjnuiQP1dXVmDZtGiZOnIgtW7ZYtXFdkt4XX3yBrKwslJeXo6mpyaro6GoOWY45h2zj1VdfRXp6Os6cOYO1a9eKRbiFpUgHAGdnZ6xduxYVFRUoKSmRIl278eOPPyItLQ2TJ0+GVquFVqtFTU0NampqoNVqYTKZ7PY8joW6DPn5+aGurg6tra1i7Ndff0VraysGDRokYWZ0Pw4ODujVqxdu3rwpdSrUBcuuu5WVlVbxiooKzikZc3V15Zyyod27dyM+Ph5paWmIiYmxauO6JL2amhqEhIRg+PDhSE9PF/fbuB+uS9JxdnbGvHnzkJ+fD7PZDOD3OdTVGuTg4ABfX18p0rRrCxYsgCAIKCgouG8fV1dXAOAcesyUSiXmzJmD48eP4+DBgzh48CBqa2tRW1uLgwcPoqmpCU5OTvD29ra78zgW6jIUGhqK9vZ2HD58WIzt3bsXLi4uCAkJkS4xAgDcu3ev0x/tM2fOoLq6GmPGjJEoK3qQIUOGYPDgwdi3b58Yu3DhAi5duoSXXnpJwszIora21uq4oaEBx44d45yyka+//hpxcXH46quvsHDhwk7tXJekZSnS/f39sX//fjg7O1u1c12S1l//fgFAUVERBgwYIG6KFR4ejtOnT1v13bt3LyZMmIDevXvbLFd7dOvWLbS3t1vFzp8/D7PZDG9vbwC/b8T4183jMjIyoFAoMGrUKJvlao9GjRol3km3/AsKCkJQUBC0Wq34Ckl4eDgyMzPR0dEBAGhpaUF2dvZTfR7Hd9RlyMfHB6tWrUJCQgLKysrQ0tKCTZs2YePGjeLVPZJOe3s7Jk+ejPDwcPj7+6OiogIpKSmIjIzE7NmzpU7PLun1ehgMBpSWlgIAsrOz0bdvXwQHB4ubkmzduhVRUVFQKBTw9fVFcnIyIiMjMXXqVClTtwsmk0ks8CzfgNZqtejfv79Y5K1cuRIuLi4IDg5GS0sLUlNT0atXL7z77rsSZm4f8vLyEBsbi1mzZkGhUECr1YptljvrXJekc/fuXUydOhUmkwmvvPIKMjIyxLaxY8fC19eX65LENm7ciNraWkyePBlKpRInT57Evn37sHv3brFPTEwMPv/8c8yYMQPLly/HuXPnkJOTgxMnTkiXuJ0oKyvD8uXLMXv2bPj4+ODq1avYvn07Zs2aJe7CX15ejri4OMyZMwfe3t7Q6XRIS0vDBx98YPVaFknnvffeQ1BQECIjIxEREYF9+/bB0dERq1atkjq1x8ZBEARB6iSoa/v370dubi4UCgWioqIQGhoqdUr0B5PJhB07duD8+fNwc3PDlClTnuorenKXnp5udfJqsWLFCkycOFE81ul02LVrFxoaGhAcHIy4uLi/fXyU/r26ujqrz3pZqNVqrFmzBsDvO7oeOHAA33//PRwcHDBixAgsXry4051D+u9lZ2djz549Xbb9uWgHuC5JwWg0YtmyZV22JSYmYsqUKQC4LkktNzcXeXl5MJlM8PX1xaJFi8S7tRaWi5DFxcVQqVSIj4/nRn82UllZCY1Gg7KyMnh4eODFF1/EjBkzrPpUVVVh586dKC8vh5eXF6KiojBy5EhpErZzlj04/lqEX79+Hdu3b0dFRQX8/Pzw+uuvw93dXYoUbYKFOhEREREREZGM8B11IiIiIiIiIhlhoU5EREREREQkIyzUiYiIiIiIiGSEhToRERERERGRjLBQJyIiIiIiIpIRFupEREREREREMsJCnYiIiIiIiEhGWKgTERERERERyQgLdSIiIiIiIiIZYaFOREREREREJCMs1ImIiIiIiIhkhIU6ERERERERkYz8DzJylpswIpdWAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(arma_rvs, lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(arma_rvs, lags=40, ax=ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* For mixed ARMA processes the Autocorrelation function is a mixture of exponentials and damped sine waves after (q-p) lags.\n", "* The partial autocorrelation function is a mixture of exponentials and dampened sine waves after (p-q) lags." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:24.262606Z", "iopub.status.busy": "2026-07-25T23:41:24.262359Z", "iopub.status.idle": "2026-07-25T23:41:24.980018Z", "shell.execute_reply": "2026-07-25T23:41:24.976520Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.14.6/x64/lib/python3.14/site-packages/statsmodels/tsa/statespace/mlemodel.py:681: EstimationWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n", " start_params = self.start_params\n", "/opt/hostedtoolcache/Python/3.14.6/x64/lib/python3.14/site-packages/statsmodels/tsa/statespace/mlemodel.py:681: EstimationWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n", " start_params = self.start_params\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 -0.001244 0.000778 9.777436e-01\n", "2.0 0.052350 1.382049 5.010626e-01\n", "3.0 -0.522181 139.090106 5.938063e-30\n", "4.0 0.146506 149.951983 2.084573e-31\n", "5.0 -0.091171 154.166872 1.731083e-31\n", "6.0 0.337059 211.891306 5.568290e-43\n", "7.0 -0.160920 225.075262 5.519054e-45\n", "8.0 0.116132 231.955610 1.142179e-45\n", "9.0 -0.195352 251.464207 4.895752e-49\n", "10.0 0.166410 265.649428 2.760836e-51\n", "11.0 -0.126465 273.858717 2.767679e-52\n", "12.0 0.115015 280.662675 5.334651e-53\n", "13.0 -0.159302 293.742050 4.899046e-55\n", "14.0 0.095846 298.486519 2.444596e-55\n", "15.0 -0.062853 300.531001 4.335557e-55\n", "16.0 0.159244 313.681886 3.718133e-57\n", "17.0 -0.089423 317.837389 2.317190e-57\n", "18.0 0.002504 317.840655 1.018533e-56\n", "19.0 -0.124735 325.959706 9.297882e-58\n", "20.0 0.093960 330.576238 4.414194e-58\n", "21.0 -0.016212 330.713971 1.708363e-57\n", "22.0 0.054804 332.291098 3.279536e-57\n", "23.0 -0.110592 338.726892 6.325402e-58\n", "24.0 0.022742 338.999620 2.166837e-57\n", "25.0 0.029459 339.458217 6.665490e-57\n", "26.0 0.095294 344.266902 2.658405e-57\n" ] } ], "source": [ "lags = int(10 * np.log10(arma_rvs.shape[0]))\n", "arma11 = ARIMA(arma_rvs, order=(1, 0, 1)).fit()\n", "resid = arma11.resid\n", "r, q, p = sm.tsa.acf(resid, nlags=lags, fft=True, qstat=True)\n", "data = np.c_[range(1, lags + 1), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=[\"lag\", \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index(\"lag\"))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:24.982328Z", "iopub.status.busy": "2026-07-25T23:41:24.982114Z", "iopub.status.idle": "2026-07-25T23:41:26.958758Z", "shell.execute_reply": "2026-07-25T23:41:26.951346Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 -0.007899 0.031383 0.859389\n", "2.0 0.004128 0.039972 0.980212\n", "3.0 0.018095 0.205341 0.976722\n", "4.0 -0.006766 0.228509 0.993949\n", "5.0 0.018123 0.395044 0.995465\n", "6.0 0.050690 1.700565 0.945078\n", "7.0 0.010253 1.754087 0.972191\n", "8.0 -0.011208 1.818176 0.986088\n", "9.0 0.020292 2.028663 0.991006\n", "10.0 0.001028 2.029204 0.996111\n", "11.0 -0.014033 2.130285 0.997983\n", "12.0 -0.023858 2.423052 0.998426\n", "13.0 -0.002108 2.425342 0.999339\n", "14.0 -0.018784 2.607562 0.999589\n", "15.0 0.011317 2.673844 0.999805\n", "16.0 0.042158 3.595554 0.999443\n", "17.0 0.007943 3.628344 0.999734\n", "18.0 -0.074312 6.504019 0.993685\n", "19.0 -0.023378 6.789205 0.995255\n", "20.0 0.002398 6.792213 0.997313\n", "21.0 0.000488 6.792338 0.998515\n", "22.0 0.017953 6.961578 0.999024\n", "23.0 -0.038576 7.744617 0.998744\n", "24.0 -0.029817 8.213410 0.998859\n", "25.0 0.077850 11.415980 0.990674\n", "26.0 0.040407 12.280577 0.989478\n" ] } ], "source": [ "arma41 = ARIMA(arma_rvs, order=(4, 0, 1)).fit()\n", "resid = arma41.resid\n", "r, q, p = sm.tsa.acf(resid, nlags=lags, fft=True, qstat=True)\n", "data = np.c_[range(1, lags + 1), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=[\"lag\", \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index(\"lag\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: How good of in-sample prediction can you do for another series, say, CPI" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:26.963413Z", "iopub.status.busy": "2026-07-25T23:41:26.963116Z", "iopub.status.idle": "2026-07-25T23:41:26.982756Z", "shell.execute_reply": "2026-07-25T23:41:26.980748Z" } }, "outputs": [], "source": [ "macrodta = sm.datasets.macrodata.load_pandas().data\n", "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range(\"1959Q1\", \"2009Q3\"))\n", "cpi = macrodta[\"cpi\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Hint: " ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:26.987037Z", "iopub.status.busy": "2026-07-25T23:41:26.986731Z", "iopub.status.idle": "2026-07-25T23:41:27.288935Z", "shell.execute_reply": "2026-07-25T23:41:27.287244Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9oAAAKTCAYAAADmN3BXAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjExLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvctoD+AAAAAlwSFlzAAAPYQAAD2EBqD+naQAAewVJREFUeJzs3Xd4VGXCxuFnZpJMeiOEkEIPLQFCF8RVEKXZG1ix9+6uyq6ua2V17a6rq2AFERW7INi7tNBCLwGSUELqpE493x/RrPloCSQ5meR3X1cunDPvnDyDB5gn55z3tRiGYQgAAAAAADQKq9kBAAAAAABoTSjaAAAAAAA0Ioo2AAAAAACNiKINAAAAAEAjomgDAAAAANCIKNoAAAAAADQiijYAAAAAAI0owOwAR8rn82nXrl2KiIiQxWIxOw4AAAAAoJUzDENlZWVKTEyU1Xrw89Z+W7R37dqllJQUs2MAAAAAANqYnJwcJScnH/R5vy3aERERkmreYGRkpMlpAAAAAACtncPhUEpKSm0fPRi/Ldq/Xy4eGRlJ0QYAAAAANJvD3b7MZGgAAAAAADSiIzqjnZubK7fbrU6dOslmszV4zO7du5WXl1c3SECAMjIyjiQOAAAAAAAtRoOK9quvvqqHH35Y1dXVstlscjqdevrppzVlypQGjZk5c6b++c9/qnfv3rXbIiIi9M033zTCWwIAAAAAwDwNKtpbtmzRF198oa5du0qS/v3vf+viiy9Wv379lJaWVu8xkpSenq5ff/21sd7HAfl8Prlcrib9Hv4kMDDwoFcgAAAAAAAah8UwDONIX+zz+RQSEqJ///vfuuqqq+o95qGHHtLHH3+sN998U8HBwerUqVOD18J2OByKiopSaWnpASdDc7lcys7Ols/na/gba8Wio6OVkJDA2uMAAAAA0ECH66G/O6pZx9etWyeXy6UuXbo0eMzSpUs1ceJEORwO2Ww2PfvsszrvvPOOJk4twzC0e/du2Ww2paSkHHIh8bbCMAxVVlYqPz9fktSxY0eTEwEAAABA63TERbu6ulpXXHGFhg8frhNPPLFBYwYOHKiNGzeqZ8+eMgxDjz76qC644AJ169ZNQ4YMOeC+nE6nnE5n7WOHw3HQbB6PR5WVlUpMTFRoaOgRvsPWJyQkRJKUn5+v+Ph4LiMHAAAAgCZwRKd63W63zjvvPBUUFGjevHkHPGN8qDGTJk1Sz549JdWsP3b33Xere/fuevvttw/6PadPn66oqKjar5SUlIOO9Xq9kqSgoKAjeXut2u8/eHC73SYnAQAAAIDWqcFF2+12a/LkycrKytI333yjpKSkIxrz/3Xs2FG5ubkHfX7atGkqLS2t/crJyTnsPrkPeX/8ngAAAABA02rQpeMej0dTpkzRypUr9e2336pTp05HNKa6ulrBwcG1j4uKirRq1SqNHj36oN/bbrfLbrc3JG6bVFJSIq/Xq3bt2pkdBQAAAADapAYV7QsvvFCLFi3S66+/rvz8/NqJtRITE5WYmFjvMSeccILOO+88DRw4UAUFBfrnP/+pqKgoXX/99Y353tqke+65R7m5ufrwww/NjgIAAAAAbVKDinZubq569eqlRx55pM72q6++WldffXW9x3zyySd6+umn9fDDDys0NFRnnnmmbrnlFkVERBzNe4GkmJgYVVdXmx0DAAAAANqso1pH20yHWr+surpa2dnZ6tq1a51L1P2Fz+dTUVGR2rVrV+ee6uLiYkk1ZdrlcqmqqkpRUVF1Xnu4S8f9/fcGAAAAAMxS33W0WWC6BTEMQ4888ojat2+vbt26KT4+Xi+++GLt87fddpsmT56siRMnqkOHDoqNjdWECRNUUlJSO+aee+7RFVdcYUJ6AAAAAIDURoq2YRiqdHlM+WrIBQPTp0/XE088oXfffVcOh0ObNm3Sjh076oz54osvNGbMGBUWFiovL0+7du3SHXfc0di/ZQAAAACAI9Sge7T9VZXbq75/X2jK9173wDiFBh3+t9kwDD311FO68847NWbMGEk1l4hPnz69zrgePXrojjvukMViUUJCgh544AGdffbZeuaZZxQeHt4k7wEAAAAAUH9t4oy2P9i7d68KCgo0bNiwQ45LT0+vc9/2gAED5PV6lZ2d3dQRAQAAAAD10CbOaIcE2rTugXGmfe/6CAio+V/hdDoPOc7lch3wMWuMAwAAAEDL0CaKtsViqdfl22aKi4tTjx49tGjRIo0fP752u8/nk9X6vwsPli1bJqfTWVusf/jhB0VERKhLly7NHRkAAAAAcABcOt6CPPzww/rPf/6jRx99VOvWrdPChQs1adKkOmMKCgp02WWXafXq1fr444/117/+VbfffruCgoJMSg0AAAAA+KOWfZq3jTnvvPMUGRmpJ598Ui+//LJ69+6tBx54oM6Yc889V7169dKVV16psrIyXXvttbr33ntrn4+JiVF1dXVzRwcAAAAA/MZiNGT9qRbkUAuFV1dXKzs7W127dlVwcLBJCRvfpZdeKo/Ho1mzZh3xPlrr7w0AAAAANLVD9dA/4tJxAAAAAAAaEZeO+5HY2Fh5PB6zYwAAAAAADoGi7UeefPJJsyMAAAAAQItV5fLqiUUbdWKfDhrRvZ1pObh0HAAAAADQKry1ZKdm/Jitqa8u0eJthabloGgDAAAAAFqFT1fvkiS5PD5d+cYybdjjMCVHqy7afjqhepPi9wQAAABAa5RbXKkVO0tksUgDkqNUVu3RJTOXKKeostmztMqibbPZJEkul8vkJC1PZWXNQRYYGGhyEgAAAABoPPPX7JYkDesSqzcuH65eHSKUX+bU1FeWqKiiebthq5wMLSAgQKGhodq3b58CAwNltbbKnyc0iGEYqqysVH5+vqKjo2t/GAEAAAAArcFnq2uK9ikDEhUVGqjXLx+ms1/4WdsKKnTZa0v19lXHKCSoeXpQqyzaFotFHTt2VHZ2tnbs2GF2nBYlOjpaCQkJZscAAAAAgEazs7BSq3JLZbVI49Nq+k5CVLBev3yYzn3xZ63KKdF7y3N08YguR/V9lmYX1WtcqyzakhQUFKTU1FQuH/+DwMBAzmQDAAAAaHU+++2y8RHd26l9hL12e4/4cF13Qnc9Mn+D5q/Zc1RF+8fNBbryjWX1Gttqi7YkWa1WBQcHmx0DAAAAANCEfp9tfFK/xP2em5DeUY/M36DF2YUqKHcqLty+35jD2VFYoRveypTXV7/Jpbl5GQAAAADgt7ILKrR2l0M2q0Xj0/e/TTYlNlT9k6PkM6TPs/Y0eP/lTo+uemOZSqvcSk+KqtdrKNoAAAAAAL/12W9ns0d2b6fYsKADjpnYr6MkaUHW7gbt2+czdNvcldq0t1zxEXY9OyWjXq+jaAMAAAAA/Nanv802fmr//S8b/93E9Jqi/cvWQhWWO+u976e/2qwv1u1VkM2q/148WPGR9bs1maINAAAAAPBLW/LLtGFPmQKsFp2c1uGg4zq1C1V6UqR8hrRo3d567XvBmt169qvNkqRHzuqngZ1i6p2Log0AAAAA8Eu/n80+LjVO0aEHvmz8d79fPj5/zeEvH1+VU6Lb3lkpSbpiVFedMzi5Qbko2gAAAAAAv1NU4dK8zFxJ0qRDXDb+u98vH/95a6GKKg6+DHROUaWueH2Zqt0+Hd+zvaZN6N3gbBRtAAAAAIBfyS+r1vkv/aqcoiq1j7Af8rLx33WJC1PfjpHy+gx9se7As4+XVrl12WtLVVDuVJ+OkXr+wkEKsDW8NlO0AQAAAAB+Y3dplab891dt3Fum+Ai75lw1XJHBgfV67aT+NWe1P1uzf9F2eXy69s3l2pJfroTIYL1y6RCF2wOOKCNFGwAAAADgF3KKKnXef3/RtoIKJUWH6J1rRqhHfES9Xz/ht3W2f95SoJLK/10+bhiG7n5/tX7ZVqiwIJteuXSoOkaFHHHOI6vnAAAAAAA0o99L9u7SanVuF6rZVw5Xckxog/bRrX24eidEaMOeMi1au1e9EiL0+do9Wpi1R9sKKmSzWvT8hYPUNzHyqLJStAEAAAAALd5Dn63T7tJqdW8fptlXHqOEqPqtaf3/TerXURv2lOnu91fLZ/xve1CAVQ+fka4TesUfdVaKNgAAAACgRdu6r7x2/esXLxp8xCVbqrlP+6kvN8lnSKFBNo3uHa/xaQk6oVd7RdTzXu/DoWgDAAAAAFq0l77bJsOQxvbpoNQO9b8n+0C6tQ/XnKuOUaXLqxHd2yk40NZIKf+Hog0AAAAAaLH2Oqr1wYo8SdJ1J3RrlH0O79auUfZzMMw6DgAAAABosV75KVsur09DOsdocOdYs+PUC0UbAAAAANAiOardeuvXnZKka4/vbnKa+qNoAwAAAABapNm/7lSZ06PU+HCN6X30s4E3F4o2AAAAAKDFcXq8euWnbEnSNcd3l9VqMTlR/VG0AQAAAAAtzgeZedpX5lTHqGCdNiDR7DgNQtEGAAAAALQoHq9PL32/TZJ0xaiuCgrwr+rqX2kBAAAAAK2aYRi696MsbSuoUFRIoKYM62R2pAajaAMAAAAAWowXvtuqOUtyZLVIj587QOH2ALMjNRhFGwAAAADQIny0Mk+Pfb5RknTfqWk6qW8HkxMdGYo2AAAAAMB0S7KL9Jd3V0uquS976sgu5gY6ChRtAAAAAICptu4r19VvLpPL69O4tA7668Q+Zkc6KhRtAAAAAIBp1u926PyXflVJpVsZKdF6evJA2fxozewD8b+7ygEAAAAArcKS7CJd8fpSlVV71KtDhGZMHaKQIJvZsY4aRRsAAAAA0OwWrd2jG+eskMvj09AuMZpxyVBFhQaaHatRULQBAAAAAM1q7tKdmvb+GvkMaWyfeP37gkEKDvT/M9m/o2gDAAAAAJrN51m7dde8NZKk84Yk65Ez+ynA1rqmD6NoAwAAAACaRWG5U3/7IEuSNHVEZ/3jtDRZLP498dmBtK4fGwAAAAAAWqz7Pl6rwgqXeidE6G+T+rbKki1RtAEAAAAAzWDBmt36dPVu2awW/eucAQoKaL11tPW+MwAAAABAi1BU4dK9H9VcMn7d8d3VLznK5ERNi6INAAAAAGhS9328VgXlLvXqEKGbTuxhdpwmR9EGAAAAADSZz7N265NVu2ouGT+3v+wBrWcZr4OhaAMAAAAAmsSW/DJNe79mKa9rj++m/snR5gZqJhRtAAAAAECjyy2u1MUzl6i40q0ByVG6+cRUsyM1G9bRBgAAAAA0mNvr03Nfb1FYkE0XHtNZ4fb/1ct9ZU5dPHOJdpdWKzU+XK9dNqxNXDL+O4o2AAAAAKDBHl2wQTN+zJYk/ff7bbr2+G66+Jgucnl9mvrKEmUXVCgpOkRvXjFcMWFBJqdtXhRtAAAAAECDfLZ6d23JTooOUV5JlR6Zv0Ev/5CtuHC71u92KC7crtlXDldCVLDJaZsf92gDAAAAAOptS36Z/vLeKknSNcd303d/OUGPnd1fSdEh2lfm1PrdDkUEB+iNy4epS1yYyWnN0eAz2kVFRVqyZIncbrcyMjKUkpKy3xjDMPTLL79ox44dSk1N1ZAhQ45oDAAAAACg5Sh3enTNm8tV6fJqRLd2+svJvRRgs+q8oSk6Y2CS3lmWo2825OvGMT3UNzHS7LimaVDRvuuuu/TWW28pLS1NNptN33zzje6880794x//qB1TXV2tU089VVlZWRo2bJh+/PFHjR07Vm+99ZZsNlu9xwAAAAAAWg7DMHTne6u0dV+FEiKD9dwFAxVg+99F0kEBVl10TGdddExnE1O2DA0q2unp6dq8ebOCg2uusV+4cKHGjx+vk08+WSNHjpQkPf7448rKytLKlSvVoUMHbd68WRkZGXrttdd0xRVX1HsMAAAAAKBlMAxDz329RfPX7FGgzaLnLxykuHC72bFarAbdo33xxRfXlmxJGjdunIKCgpSVlVW77a233tLkyZPVoUMHSVJqaqomTpyot956q0FjAAAAAADmc3l8mvb+Gj35xSZJ0r2n9NXgzjEmp2rZjmoytK+//loul0sDBgyQJLndbm3cuFFpaWl1xqWnp9eW8fqMORCn0ymHw1HnCwAAAADQdIoqXLp45mK9vTRHVktNyb6YS8MP64iLdn5+vq644gqdffbZGj58uCSpvLxcPp9P0dHRdcbGxsaqtLS03mMOZPr06YqKiqr9OtAkbAAAAACAxrF5b5nOeP4nLc4uUoQ9QDMvHaorRnWVxWIxO1qLd0TraBcVFenkk09WSkqKXn/99drtISEhkqSKioo648vKymqfq8+YA5k2bZpuv/322scOh4OyDQAAAACNYHtBhX7aWqDc4irlFFUqp7hKG/c4VO32qVNsqGZOHaLUDhFmx/QbDS7axcXFGjt2rMLDwzV//nyFhf1vXbTg4GAlJiZq+/btdV6zfft2de/evd5jDsRut8tu52Z7AAAAAGhM1W6vznrhZxVVuPZ7bnjXWL1w0WDFhgWZkMx/NejS8ZKSEo0dO1ahoaFasGCBwsPD9xtzyimnaN68efJ4PJJqzlx/8sknOuWUUxo0BgAAAADQ9L7dmK+iCpdiQgM1dURn3TOpj168aLDm33yc5lx1DCX7CFgMwzDqO3jEiBHKysrS9OnT65TsjIwMZWRkSJJyc3M1bNgw9evXT+PHj9e7776rgoICLVmypPa+7PqMORyHw6GoqCiVlpYqMrLtLoQOAAAAAEfj+tnLNX/NHl3zp26aNrGP2XFatPr20Aavo92rVy8tW7aszvbo6Ojaop2cnKwVK1ZoxowZ2rBhg8466yxdddVVioqKqh1fnzEAAAAAgKZVVu3WV+vzJUmnDkg0OU3r0aAz2i0JZ7QBAAAA4Oh8sCJXt81dpW5xYfrqjuOZUfww6ttDj2odbQAAAACA//p45S5JNWezKdmNh6INAAAAAG1QcYVLP2wukMRl442Nog0AAAAAbdCCrD3y+Az17RipHvH7ryiFI0fRBgAAAIA26ONVeZKk0zI4m93YKNoAAAAA0MbsKa3W4uwiSdIp/TuanKb1oWgDAAAAQBvz2ZrdMgxpcOcYJceEmh2n1aFoAwAAAEAb8/GqmtnGT2MStCZB0QYAAACANmRHYYVW5ZTIapEm9uOy8aZA0QYAAACANiKvpEr3fbxWknRsjzi1j7CbnKh1CjA7AAAAAACgaVW5vHrxu6168butcnp8slqky0d1NTtWq0XRBgAAAIBW7LPVu/XQZ+u0u7RakjS8a6zuOzVNfRMjTU7WelG0AQAAAKCV+mhlnm55e6UkKSk6RPdM6qPx6QmyWCzmBmvlKNoAAAAA0Apt2OPQ3fPWSJIuPqaz/japj4IDbSanahso2gAAAADQyjiq3br2zeWqcnt1XGqc/nFammxWzmI3F2YdBwAAAIBWxOczdMc7q7S9sFJJ0SF6ZspASnYzo2gDAAAAQCvy4vdb9cW6vQqyWfWfCwcpNizI7EhtDkUbAAAAAFqJbzfm6/GFGyVJ95+epgEp0eYGaqO4RxsAAAAA/FyF06MnFm3Sqz9nyzCkcwcna8rQFLNjtVkUbQAAAADwY99t2qe/vr9GeSVVkqSzBibpwTPSWcLLRBRtAAAAAPBDFU6P7v0wS++vyJNUs072w2em64Re8SYnA0UbAAAAAPyM0+PV1W8u009bCmWxSJeN7Ko7Tu6pMDsVryXg/wIAAAAA+BGvz9Btc1fqpy2FCg2y6bXLhmlY11izY+EPmHUcAAAAAPyEYRi696MszV+zR0E2q166eAgluwWiaAMAAACAn3jyi016a/FOWSzS01MyNCo1zuxIOACKNgAAAAD4gVd/ytZzX2+RJD14erom9utociIcDEUbAAAAAFq4D1fk6f5P1kmSbj+ppy46prPJiXAoFG0AAAAAaMG+2ZivP7+7SpJ06cguumlMD5MT4XAo2gAAAADQQi3fUazrZi2Xx2fo9IxE/f2UvrJYLGbHwmFQtAEAAACgBdq0t0yXv7ZU1W6fju/ZXv86Z4CsVkq2P6BoAwAAAEALs6OwQhfPXKzSKrcGdorWCxcNUlAA9c1fBJgdAAAAAABQwzAMfbgyT3//cK3KnB6lxofr1UuHKjSI6uZP+L8FAAAAAC1AaaVb93yUpU9W7ZIkDe4co+cvGKTo0CCTk6GhKNoAAAAAYLJfthbqjndWaldptWxWi245MVXXn9BdATYuF/dHFG0AAAAAMNGsX3fo7x9lyWdIXdqF6qnJGRrYKcbsWDgKFG0AAAAAMIFhGHrqi0169ustkqSzBiXpwdPTFWanpvk7/g8CAAAAQDPzeH362wdZmrssR5J069hU3XJiKmtktxIUbQAAAABoRlUur258K1NfbciX1SI9dEY/XTC8k9mx0Igo2gAAAADQTHKKKnX97EytySuVPcCq584fqJPTEsyOhUZG0QYAAACAZvDNhnzdOnelSqvcig4N1IxLhmhIl1izY6EJULQBAAAAoAl5fYae/nKTnvtt0rMBKdH6z4WDlBQdYnIyNBWKNgAAAAA0AY/XpyXbi/T8N1v005ZCSdLFx3TWPaf0kT3AZnI6NCWKNgAAAAA0EqfHq5+3FGpB1m59sW6viivdkqSQQJv+eXY/nZ6RZHJCNAeKNgAAAAAcpay8Ur27LEcfrtyl0ip37faY0ECN7dNB1xzfTT3iI0xMiOZE0QYAAACAI1Dl8uqdZTl6Z1mO1u5y1G7vEGnX+LQEjUtP0LAusQqwWU1MCTNQtAEAAACggfaVOXXZa0uUlVdTsINsVp2c1kHnDUnRsT3iZLNaTE4IM1G0AQAAAKABsgsqNPWVJdpZVKl2YUG6aUwPnZ6RpJiwILOjoYWgaAMAAABAPa3KKdHlry1VYYVLnWJD9cblw9QlLszsWGhhKNoAAAAAUA/fbszX9bMzVenyKj0pUq9eOkztI+xmx0ILRNEGAAAAgEMwDEMzf8zW9AUb5PUZOi41Ti9cNFjhduoUDowjAwAAAAAOoqzarTvfW60FWXskSWcNTNI/z+6voABmEsfBUbQBAAAA4AA27HHoulmZyi6oUKDNontP6auLj+ksi4UZxXFoFG0AAAAA+INKl0dzluToXws3qNrtU2JUsJ6/cJAGdooxOxr8BEUbAAAAACTlO6r12s/bNXvxTpVWuSVJf+rZXk9PzlAsS3ehASjaAAAAANq0ogqXps9frw9X5sntNSRJnduF6qrjuun8YZ1ks3KpOBqGog0AAACgzSqpdOnCGYu1frdDkjSkc4yuPK6bTurbgYKNI0bRBgAAANAmlVa5dfHMJVq/26G4cLtevGiQhnSJNTsWWgGKNgAAAIA2p9zp0aWvLtGavFLFhgXprauGq2eHCLNjoZVg8TcAAAAAbUqly6PLXl2iFTtLFBUSqFlXULLRuDijDQAAAKBVcVS7lVNUqZyiKuUWV2p3abVKq9wqrXLLUeVWbnGV8kqqFBEcoFlXDFffxEizI6OVoWgDAAAA8HuGYejzrD16ZMF65RRVHXZ8uD1Ar18+TP2So5ohHdoaijYAAAAAv7antFp//yhLi9btrd0WGxaklJgQJceGKik6RNGhgYoMDlRUSKAiQwKVnhipduF2E1OjNaNoAwAAAPBLPp+hOUt36p/zN6jM6VGA1aLrT+iuq/7UTRHBgWbHQxvW4KLtcrn03nvvKTMzUxdccIEGDRpU5/nHHntM+fn5+72ud+/euvLKKyVJX331lRYsWFDn+ZCQED344IMNjQMAAACgjTEMQz9uKdATizZpZU6JJGlASrQePbufeidwvzXM16Ci/cknn+i6667TqFGjNHfuXGVkZOxXtNu3by+r9X+TmVdVVenvf/+77rrrrtptv/zyi959913ddNNNtduCg4OP9D0AAAAAaCMWbyvUE19s0pLsIklSSKBNfxnXS1NHdpHNajE5HVCjQUW7W7duyszMVHx8vObOnXvAMZdddlmdx7NmzZLFYqk9m/27jh076s9//nMD4wIAAABoi3aVVOmueav1w+YCSVJQgFUXDu+k607orvgITtqhZWlQ0U5LS2vwN5g5c6ZOOOEE9ejRo872/Px83X///QoODtawYcM0evToBu8bAAAAQOtXWO7URTMXa9u+CgXaLDpvSIpuHNNDHaNCzI4GHFCTToa2detWfffdd5o9e/Z+z8XGxsrlcik/P18PPfSQJkyYoLlz58piOfDlHk6nU06ns/axw+FostwAAAAAWoZyp0eXvbZU2/ZVKCk6RLOvHK4ucWFmxwIOyXr4IUfulVdeUWxsrM4666w62y+66CItW7ZMDz/8sJ5//nn9/PPP+vDDD/Xmm28edF/Tp09XVFRU7VdKSkpTRgcAAABgMqfHq2veXKbVuaWKDQvSG1cMo2TDLzRZ0fZ6vXr99dd1ySWXyG6vuz5dly5d6jzu16+fBg8erB9++OGg+5s2bZpKS0trv3JycpoiNgAAAIAWwOszdNvclfppS6FCg2x69dKh6t4+3OxYQL002aXjn3/+ufLy8vabBO1gPB5PnUvD/z+73b5fYQcAAADQ+ni8Pt37UZbmr9mjIJtVL108RANSos2OBdRbk53Rnjlzpo499lj17dt3v+e+/fbbOo9/+OEHZWZm6qSTTmqqOAAAAAD8wL4ypy6euURzluTIYpGenpKhUalxZscCGqRBZ7Q3b96s//73v7WP58yZo5UrV2r48OE699xza7fn5+fr008/1csvv3zA/bz00ku68847NXDgQBUUFOizzz7TNddcowsvvPAI3wYAAAAAf7d0e5FumJ2p/DKnwoJseuycAZrYr6PZsYAGa1DRttvtSkhIkCT961//qt0eFRVVZ1xRUZEeeeSROuX7j9566y2tWbNGixcvVmhoqKZPn66ePXs2NDsAAACAVsAwDM34IVv//HyDvD5DqfHheuGiweoRzz3Z8E8WwzAMs0McCYfDoaioKJWWlioyMtLsOAAAAACOgGEYuufDLM1evFOSdHpGoh45s5/C7E26EjFwROrbQzl6AQAAAJjmxe+2afbinbJapPtPS9NFx3SWxWIxOxZwVCjaAAAAAEzxyapdevTzDZKk+05N08UjupgbCGgkTTbrOAAAAAAczLLtRbrj3VWSpMuP7aqpI7uYGwhoRBRtAAAAAM0qu6BCV72xTC6PTyf37aC/TepjdiSgUVG0AQAAADSbgnKnLnt1iYor3RqQHKVnpgyUzco92WhdKNoAAAAAmkVRhUsXvrxY2wsrlRQdohlThyokyGZ2LKDRUbQBAAAANLmSSpcumrFYG/eWKT7CrllXDlf7CLvZsYAmQdEGAAAA0KQc1W5d8soSrdvtUFx4kN666hh1jQszOxbQZCjaAAAAAJpMudOjS19ZotW5pYoJDdTsK49Rj/hws2MBTYp1tAEAAAA0iV0lVbpudqZW5ZQoKiRQs64crl4JEWbHApocRRsAAABAo/th8z7d8vZKFVW4FBkcoDevGKa0xCizYwHNgqINAAAAoNH4fIb+/c0WPfXlJhmGlJYYqRcuHKxO7ULNjgY0G4o2AAAAgEZRWunWLXNX6NuN+yRJ5w9L0X2npik4kCW80LZQtAEAAAActV0lVZr6yhJtzi+XPcCqh8/sp3MGJ5sdCzAFRRsAAADAUdm0t0yXzFyiPY5qJUQGa+alQ7gfG20aRRsAAADAEVuSXaQrX18qR7VHPeLD9frlw5QUHWJ2LMBUFG0AAAAAR+Sz1bt12zsr5fL4NLhzjGZOHaLo0CCzYwGmo2gDAAAAaJBl24v0xKJN+mVboSRpbJ8O+vcFA5n0DPgNRRsAAABAvazOLdETizbpu001s4oH2iy6/Niu+su4XgqwWU1OB7QcFG0AAAAAh1Tt9uofH6/V20tzJEk2q0XnDUnWjWNSuR8bOACKNgAAAICD2lFYoetmZWrdbocsFunMgUm65cRUdW4XZnY0oMWiaAMAAAA4oEVr9+iOd1eprNqjdmFBevb8gTq2R5zZsYAWj6INAAAAoI4ql1dPf7lJ//1+myRpcOcYPX/BICVEBZucDPAPFG0AAAAAkmruxZ6zZKee/2arCsqdkqTLj+2qaRN7K5DJzoB6o2gDAAAAbZzL49O7y3P076+3aHdptSQpOSZE90zqo/HpHU1OB/gfijYAAADQRjmq3Xp7yU699tN27fqtYCdEBuumE3vo3MEpCgrgLDZwJCjaAAAAQBuTW1ypV3/arrlLc1Tu9EiS4sLtumF0d50/rJOCA20mJwT8G0UbAAAAaCMqXR49uWiTXv15u7w+Q5KUGh+uK4/rqtMzkijYQCOhaAMAAABtwPeb9umvH6xRbnGVJGlk93a66k/ddHxqe1mtFpPTAa0LRRsAAABoxYorXHros/Wal5krSUqMCtbDZ/bT6N7xJicDWi+KNgAAANAKuL0+Lcku0uJthcoprlJOUaVyiiu111GzTJfFIk0d0UV/HtdL4XZqANCU+BMGAAAA+Klqt1c/bi7Q52v36Mv1e1VS6T7guN4JEXr4zH4a3DmmmRMCbRNFGwAAAPAzhmHo/cw83f/JWjmqPbXbY8OCNLpXvHrEhyslNkTJMaFKiQlRbFiQLBbuwwaaC0UbAAAA8CMllS797cMsfbZ6tySpY1SwxqUlaHx6goZ2iZWNic0A01G0AQAAAD/x85YC3f7OKu1xVCvAatFtJ/XUtcd3p1wDLQxFGwAAAGjBnB6vft5aqE9W7dL7mXmSpG5xYXpqcoYGpESbGw7AAVG0AQAAgBam0uXRdxv36fO1e/T1+nyVOf93H/b5wzrp3lP6KDSIj/JAS8WfTgAAAKAFKK1y6+sNe/V51h59t2mfqt2+2ufiI+wal5ag0zISNbRLrIkpAdQHRRsAAAAwUUG5U/d+mKUv1u2Vx2fUbk+JDdGE9I4al5aggSnRsnIfNuA3KNoAAACASZZuL9KNb2Vqr8MpSerZIVzj0xI0Lj1BfTtGsiQX4Kco2gAAAEAzMwxDM3/M1vQFG+T1GeoRH66nJ2coPSnK7GgAGgFFGwAAAGhGZdVu3TVvteav2SNJOm1Aoqaf1U9hdj6aA60Ff5oBAACAZrJhj0PXz8rUtoIKBdosuveUvrr4mM5cIg60MhRtAAAAoBm8n5mrv36wRtVunxKjgvX8hYM0sFOM2bEANAGKNgAAANCEqt1ePfDpOr21eKck6bjUOD0zZaBiw4JMTgagqVC0AQAAgCaydlep7p63RmvySmWxSDePSdXNJ6bKxlJdQKtG0QYAAAAaWWG5U48v2qS3l+6UYUgxoYF6espAHd+zvdnRADQDijYAAADQSFwen974Zbue+Wqzyqo9kqRT+nfU3yb1UceoEJPTAWguFG0AAACgEeQ7qnXZa0u1dpdDkpSWGKn7Tk3TsK6xJicD0Nwo2gAAAMBR2rqvXJfMXKK8kirFhgXprvG9dM7gFO7FBtooijYAAABwFDJ3FuuK15aquNKtrnFhev2yYerULtTsWABMRNEGAAAAjtBX6/fqhrcyVe32aUBylF65dKjahdvNjgXAZBRtAAAAoIEMw9DrP2/Xg5+tl9dn6IRe7fX8BYMUZufjNQCKNgAAANAgFU6P7n5/jT5ZtUuSdPagZP3z7H4KtFlNTgagpaBoAwAAAPW0Jb9M187K1Jb8cgVYLbp7Qm9dMaqrLBYmPQPwPxRtAAAA4DAMw9DHq3Zp2vtrVOnyqkOkXc9fMEhDurB0F4D9UbQBAACAQ9i4p0wPfrpOP24pkCSN7N5Oz54/UHFMegbgICjaAAAAwAGUVLr01BebNGvxTnl9hoJsVl13QnfdfGIq62MDOCSKNgAAAPAH1W6vZv26Q//+ZotKKt2SpPFpCfrrxD6sjw2gXijaAAAAgCSnx6t3lubo399s0V6HU5LUOyFCfz+1r0Z2jzM5HQB/QtEGAABAm+bzGXpvea6e+Wqz8kqqJElJ0SG6aUwPnTM4WQEs2wWggSjaAAAAaLMqXR7d8c4qLcjaI0mKj7DrxjE9NHloiuwBNpPTAfBXDS7a27dv10svvaTMzEzdeeedGjNmTJ3n58yZo9dff73OtvDwcL333nt1tm3evFnPPfecduzYodTUVN12221KSko6grcAAAAANNzu0ipd+foyrd3lUJDNqjtO7qmpI7soOJCCDeDoNKhov/rqq3rwwQd1+eWXa+HChbrooov2G7N161bt2LFDTz31VO22wMDAOmM2b96sYcOGaeLEiZoyZYpmz56tYcOGacWKFYqPjz/CtwIAAADUz4qdxbr6zeXaV+ZUu7Ag/ffiwayJDaDRNKhoT5o0SVOnTpXVatW999570HFRUVEaP378QZ9/8MEHlZqaqlmzZsliseicc85Rjx499MQTT+jRRx9tSCQAAACgQT5ckac7562Wy+NT74QIvXzJEKXEMps4gMbToJkd4uPjZbUe/iU7duzQueeeq4svvljPPfecnE5nnecXLlyo008/XRZLzfqDgYGBOvXUU/X55583JA4AAABQb2XVbt0+d6VunbtSLo9PY/vE673rRlKyATS6Rp8MzWq16uSTT9b48eNVUlKiJ598Uq+88op+/fVX2e12VVZWKj8/XykpKXVel5ycrO3btx90v06ns05hdzgcjR0dAAAArdTS7UW6be5K5RZXyWqRbhyTqltOTJXNajE7GoBWqNGL9s0336zw8PDax2eccYZ69uypF198UbfccotcLpckKSQkpM7rQkNDa587kOnTp+v+++9v7LgAAABoxdxen575crP+8+0W+QwpJTZET0/O0ODO3I8NoOk0+qKAfyzZktSxY0cNHDhQmZmZtc8HBASoqKiozrjCwkLFxMQcdL/Tpk1TaWlp7VdOTk5jRwcAAEArsiqnRKc+96P+/U1NyT57ULLm33wcJRtAk2uWdbSLiorUq1evmm8YEKC0tDStWLGizpgVK1ZowIABB92H3W6X3W5v0pwAAADwf5Uuj55ctEmv/JQtnyHFhAbqoTP6aVL/jmZHA9BGNPoZ7RdeeKHOJeAzZszQ2rVrddZZZ9Vumzp1qt555x1lZ2dLkjIzM7Vw4UJNnTq1seMAAACgDflh8z6d/NT3mvFjTck+IyNRX95+PCUbQLNq0BntlStX6u677659/K9//UuzZs3S+PHjdeutt0qSCgoK1LVrV3Xp0kUFBQXKz8/X888/rwkTJtS+7qabbtKyZcvUr18/paWlac2aNbrmmms0ZcqUxnlXAAAAaFM8Xp+e+GKTXvh2qyQpKTpED52ZrtG94k1OBqAtshiGYdR3cGFhoZYuXbrf9pSUFKWlpdU+rqio0Jo1axQaGqrU1NT9Jj773datW7Vz50716NFjv1nID8fhcCgqKkqlpaWKjIxs0GsBAADQeuSXVevmOSv067aaOYAuOqaT7p7QR+H2ZrlLEkAbUt8e2qCi3ZJQtAEAALAku0g3vpWp/DKnwoJsevSc/jqlf6LZsQC0UvXtofyYDwAAAH6n2u3Vi99t1XNfb5HXZyg1PlwvXDRYPeLDD/9iAGhiFG0AAAD4DcMwNH/NHj0yf73ySqokSadnJOqRM/spjEvFAbQQ/G0EAAAAv7B2V6nu/2SdlmTX3IudGBWsuyf20an9O8pisZicDgD+h6INAACAFsswDC3JLtLLP2Trqw17ZRhScKBV1x7fXdf8qbtCgmxmRwSA/VC0AQAA0OJ4vD7Nz9qjGT9s0+rc0trtp/TvqGkT+ygp+sCr2gBAS0DRBgAAQIuyJrdUt85doa37KiRJ9gCrzhqUrCtGdWWyMwB+gaINAACAFsHrM/Tid1v11Beb5PEZig0L0iUjOuviYzqrXbjd7HgAUG8UbQAAAJgut7hSt89dpSXbayY6m5CeoEfO7KeYsCCTkwFAw1G0AQAAYJrSSrdmL9mhF77ZqjKnR2FBNv3jtDSdMziZmcQB+C2KNgAAAJrdzsJKvfJTtt5ZlqNKl1eSNKhTtJ6anKHO7cJMTgcAR4eiDQAAgGazq6RKj8xfr/lrdstn1GzrnRChK4/rpjMyEhVgs5obEAAaAUUbAAAATc7nMzR78Q49+vlGlTs9kqQ/9Wyvq47rqlE94rhMHECrQtEGAABAk9qSX6a75q3R8h3FkmouEX/ojH7qmxhpcjIAaBoUbQAAADSJ35freubLzXJ5fQoLsumuCb110fDOslo5gw2g9aJoAwAAoNHlFFXq9ndWaun2mrPYo3u110Nn9lNSdIjJyQCg6VG0AQAA0GgMw9CHK/P09w/XqszpUbg9QP84LU1nD0riPmwAbQZFGwAAAI3CUe3WX99fo09X75YkDekco6cmZyglNtTkZADQvCjaAAAAOGrrdjl03ezl2lFYqQCrRbeOTdW1x3dnuS4AbRJFGwAAAEflnWU5uvfDLDk9PiVFh+j5CwcpIyXa7FgAYBqKNgAAAI5Itdur+z5aq7nLciTVTHj21OQMRYcGmZwMAMxF0QYAAECDbd5bppvfXqn1ux2yWKQ7Tuqp60/owbJdACCKNgAAABrAMAy9/vN2TV+wQU6PT7FhQXp2ykCNSo0zOxoAtBgUbQAAANRLvqNaf3lvtb7btE+SdHzP9vrXuf0VHxFscjIAaFko2gAAADisRWv36O7316iowiV7gFV/ndhHl4zozNrYAHAAFG0AAAAcVKXLowc/Xac5S2omPOvTMVLPTMlQzw4RJicDgJaLog0AAIADWplTotvmrlR2QYUsFunq47rp9pN7yh5gMzsaALRoFG0AAADU4fH69MK3W/X0V5vl9RnqGBWsJ84boJHdmfAMAOqDog0AAIBaOUWVum3uSi3bUSxJmtS/ox45o5+iQgNNTgYA/oOiDQAAABmGofcz83Tfx2tV7vQo3B6gB05P05kDk5jwDAAaiKINAADQxpVUuvS3D7P02erdkqQhnWP01OQMpcSGmpwMAPwTRRsAAKCNMgxDn2ft0d8/Xqt9ZU4FWC26dWyqrj2+uwJsVrPjAYDfomgDAAC0QXtKq/X3j7K0aN1eSVK39mF66rwMDUiJNjcYALQCFG0AAIA2xOczNGfpTv1z/gaVOT0KsFp03QnddcPoHgoOZNkuAGgMFG0AAIA2It9RrT+/t1rfb9onSRqQEq1Hz+6n3gmRJicDgNaFog0AANAGLFy7R3fPW63iSrfsAVb9ZVwvXXZsV9mszCgOAI2Nog0AANCKVTg9evDTdXp7aY4kqW/HSD0zJUOpHSJMTgYArRdFGwAAoBUxDEOb88v185YC/bKtUL9sLZSj2iOLRbr6T910x0m9FBTAjOIA0JQo2gAAAK3E20t26vFFm1RQ7qyzPSk6RI+fO0AjurczKRkAtC0UbQAAAD/n8fr00Gfr9drP2yVJwYFWDe0SqxHd22lEt3bqlxTFutgA0Iwo2gAAAH6stMqtG9/K1A+bCyRJd5zUU1cf3032AJbqAgCzULQBAAD8VHZBha54fam27atQSKBNT00eoPHpHc2OBQBtHkUbAADAD+0qqdKZ//lJJZVudYwK1suXDFF6UpTZsQAAomgDAAD4pSe/2KSSSrd6J0TojcuHKT4y2OxIAIDfMCsGAACAn9m4p0zzMnMlSdPP6kfJBoAWhqINAADgZ/61cIMMQ5qQnqCBnWLMjgMA+H8o2gAAAH5kSXaRvlyfL5vVoj+P62V2HADAAVC0AQAA/IRhGPrngvWSpPOGpKh7+3CTEwEADoSiDQAA4Ce+WLdXmTtLFBxo1a1jU82OAwA4CIo2AACAH/B4fXps4UZJ0hWjuqoDE6ABQItF0QYAAPAD8zJztSW/XNGhgbrm+O5mxwEAHAJFGwAAoIVbsbNYD35ac2/2jaN7KDI40OREAIBDoWgDAAC0YGtyS3XJK0tU7vRoeNdYXTyis9mRAACHQdEGAABoodbtcujiVxarrNqjIZ1j9MqlQ2UPsJkdCwBwGBRtAACAFmjz3jJdNHOxSirdykiJ1quXDVWYPcDsWACAeqBoAwAAtDCb95bpghmLVVThUnpSpF6/fJgiuC8bAPwGPxYFAABoQZZtL9IVry9TaZVbvRMi9OblwxUVQskGAH9C0QYAAGghFq3do5vmrJDT49PATtGaOXWoYsKCzI4FAGggijYAAEALMHvxDt37YZZ8hnRi73j9+4JBCgli4jMA8EcUbQAAAJM9+9VmPfnFJknS5CEpevjMdAXYmEoHAPwVRRsAAMBEn63eXVuybx7TQ7ed1FMWi8XkVACAo0HRBgAAMMnOwkrdPW+1JOna47vr9pN7mZwIANAYuCYJAADABC6PTzfOyVSZ06MhnWP055N7mh0JANBIGlS0fT6fFixYoNNOO03Jycn64IMP9huTm5urO+64Q0OGDNGAAQN05ZVXavv27XXGPPvss0pOTq7zlZaWdlRvBAAAwJ88+vkGrc4tVXRooJ49fyD3ZANAK9KgS8effvppLVq0SNdee60++eQTVVRU7Dfm3HPP1XnnnacXX3xRNptN9913n0aNGqWVK1cqLi5OkuRwOBQfH6+PP/649nVWK/+4AACAtuGLdXs188dsSdLj5wxQYnSIyYkAAI2pQUX7lltu0e23337IMT/++KNstv8tRfHWW28pOjpan3/+uS666KLa7UFBQUpOTm5gXAAAAP+WU1SpP7+7SpJ0xaiuGtu3g8mJAACNrUGnkf9YoOs7xu12yzAMBQYG1tm+fv169enTRwMHDtQ111yjXbt2NSQKAACAX3F6vPrvd1s14ZkfVFrlVv/kKN01vrfZsQAATaDJZx2/5557FBMTo5NPPrl2W3h4uO655x6NHz9eJSUluv/++zV48GBlZWWpXbt2B9yP0+mU0+msfexwOJo6OgAAwFEzDENfrc/XQ5+t0/bCSklS/+Qo/efCQQoK4NY5AGiNmrRoP//883r55Zf16aefKiYmpnb7LbfcUmd9yA8//FBdu3bVCy+8oHvuueeA+5o+fbruv//+powLAADQqArLnbr9nVX6btM+SVL7CLvuGt9bZw1MktXKWtkA0Fo1WdF+6aWXdPvtt+udd96pczZbUp2SLdWc4U5PT9f69esPur9p06bVuT/c4XAoJSWlcUMDAAA0kpyiSl3yyhJlF1QoyGbVFcd11Q2jeyjc3uQXFAIATNYkf9PPmDFDN910k+bMmaMzzjjjsON9Pp+2b9+u9PT0g46x2+2y2+2NmBIAAKBpZOWV6rLXlmpfmVNJ0SF67bKhSu0QYXYsAEAzafQbg1599VXdcMMNmjNnjs4666wDjrnlllu0bds2SVJVVZX+/Oc/Kzc3V1OnTm3sOAAAAM3qpy0FmvLSr9pX5lTvhAi9f/1ISjYAtDENKto//vijkpOTa5fluvnmm5WcnKw777yzdswNN9wgi8VS+9zvX08++WTtmFGjRunUU09VdHS0YmJi9P3332vhwoUaMmRII70tAACA5vfZ6t269NUlKnd6dEy3WM29ZoQ6RAabHQsA0MwshmEY9R3sdDq1b9++/baHhYXVTnaWl5enA+0yMjJSkZGRdbaVlZUpODh4v6W/6sPhcCgqKkqlpaX77RcAAKC5LdtepPNf/lVur6FJ/TrqyckDZA84/NKoAAD/Ud8e2qB7tO12e+3Z7INJSkqq9/4iIriMCgAA+L+8kipdO2u53F5D49MS9Oz5A2VjVnEAaLNYvBEAAOAoVLm8uvqNZSood6lPx0g9OXkAJRsA2jiKNgAAwBEyDEN/fm+V1u5yqF1YkF6+ZLBCg1i+CwDaOoo2AADAEXr+my36bPVuBVgteuGiwUqOCTU7EgCgBaBoAwAAHIG3Fu/U44s2SZIePCNdw7rGmpwIANBScG0TAABAA3i8Pj08f71e/Wm7JOnSkV10/rBO5oYCALQoFG0AAIB6clS7deNbK/T9pprlTu84qaduHNPD5FQAgJaGog0AAFAPOwordMXry7Qlv1zBgVY9dV6GJvTraHYsAEALRNEGAAA4jMydxbritaUqrnQrITJYM6YOUXpSlNmxAAAtFEUbAADgEL5av1c3vJWpardP/ZOjNOOSIYqPDDY7FgCgBaNoAwAAHMQ7S3M07YM18voMndCrvZ6/YJDC7Hx8AgAcGv9SAAAA/D+GYejfX2/RE1/ULN919qBk/fPsfgq0sTIqAODwKNoAAAB/4Pb69PeP1mrOkp2SpOtP6K6/jOsli8VicjIAgL+gaAMAAPymuMKl62Yv16/bimSxSPed0leXHtvV7FgAAD9D0QYAAJC0Jb9MV7y+TDsKKxUWZNOz5w/UiX06mB0LAOCHKNoAAKDN+27TPt04O1NlTo+SY0I0c+pQ9UqIMDsWAMBPUbQBAECb5fMZevH7rXp84Ub5DGlI5xi9ePFgxYXbzY4GAPBjFG0AANAmlVa6dce7K/Xl+nxJ0rmDk/XQmemyB9hMTgYA8HcUbQAA0OZk5ZXqutnLlVNUpaAAq+4/LU1ThqYwszgAoFFQtAEAQJvh8xmavWSnHvx0nVwen5JjQvTChYPVLznK7GgAgFaEog0AANqErfvKNe39NVqSXSRJOrF3vJ48L0NRoYEmJwMAtDYUbQAA0Kq5vT699P02PfPVZrk8PoUE2vTncb102cguslq5VBwA0Pgo2gAAoNXauKdMt7y9Qhv2lEmSjkuN0yNn9lNKbKjJyQAArRlFGwAAtErvZ+bqrx+sUbXbp5jQQP391L46IyOJCc8AAE2Oog0AAFqVardXD3y6Tm8t3imp5iz2U5MzWBsbANBsKNoAAKDVyCmq1PWzM7Umr1QWi3TzmFTdfGKqbNyLDQBoRhRtAADQKny6epf++v4aOao9ig4N1NOTM3RCr3izYwEA2iCKNgAA8Gtl1W7d99Favb8iT5KUkRKt5y8cpKToEJOTAQDaKoo2AADwW8u2F+nWuSuVW1wlq0W6cXQP3XRiqgJtVrOjAQDaMIo2AADwO4Zh6D/fbtUTizbKZ0gpsSF66rwMDekSa3Y0AAAo2gAAwL9Uu726873V+njVLknS2YOS9Y/T+ioiONDkZAAA1KBoAwAAv5HvqNZVby7XqpwSBVgteuD0dF0wvJPZsQAAqIOiDQAA/EJWXqmuemOZdpdWKzo0UP+5cJBGdo8zOxYAAPuhaAMAgBbvwxV5mvb+GlW5verePkwzpw5Vl7gws2MBAHBAFG0AANBiOT1ePfjpOs36dack6U892+u58wcqKoT7sQEALRdFGwAAtEi5xZW6YXamVuWWSpJuHtNDt4ztKZvVYnIyAAAOjaINAABaFK/P0IKs3brnwyyVVLoVHRqopyZnaHSveLOjAQBQLxRtAADQZDJ3FuvLdXt16cguio8MPuTYSpdH7y3P1Ss/Zmt7YaUkqX9ylP5z4SAlx4Q2R1wAABoFRRsAADSJT1fv0u1zV8nl9emdZbl67vyBGtG93X7jCsudeuWnbM1evFMllW5JUmRwgKaO7KIbx/SQPcDW3NEBADgqFG0AANDoXvspW/d/uk6GIUXYA1RQ7tSFM37VX8b11jV/6iar1aLSSrde/mGbXvkpW5UurySpU2yorhjVVecMTlaYnY8pAAD/xL9gAACg0RiGoccWbtQL326VJF18TGfdNaG3/v5Rlt7PzNOjn2/Q8h3F6pcUpRk/blNZtUeSlJ4UqRtH99BJfROY7AwA4PcshmEYZoc4Eg6HQ1FRUSotLVVkZKTZcQAAaPPKqt2676O1en9FniTpzyf31A2je8hiscgwDL29NEf3fbxWLo+v9jW9OkTo9pN76uS+HWSxULABAC1bfXsoZ7QBAMBRqXR59NrP2/XS99tUUumWzWrR9LP66bwhKbVjLBaLzh/WSemJUbp17grZrBbdNCZVk/p1lJUz2ACAVoaiDQAAjki126tZv+7Qi99tVUG5S5LUvX2Y/nFamo5LbX/A1/RLjtKXtx/P2WsAQKtG0QYAAA1SVOHSm7/s0Ju/bq8t2J1iQ3Xr2FSdnpF02HusKdkAgNaOog0AAOpl675yzfwxW/OW58r5233WSdEhumlMD509OFmBNqvJCQEAaBko2gAA4JB8PkNPf7lJz32zRb9PodovKUpXHtdVE/t1pGADAPD/ULQBAMBBVbo8uuOdVVqQtUeSdGLveF31p24a3jWWS8ABADgIijYAADig3aVVuvL1ZVq7y6Egm1WPnNVP5wxONjsWAAAtHkUbAADsJ3Nnsa55c7n2lTnVLixI/714sIZ0iTU7FgAAfoGiDQAAJElVLq8+X7tbc5fm6NdtRZKk3gkRevmSIUqJDTU5HQAA/oOiDQBAG5ddUKEZP2zTx6t2qazaI0myWKRT+idq+ln9FG7n4wIAAA3Bv5wAALRRbq9PL32/Tc98tVmu35brSo4J0bmDU3TOkGQlRYeYnBAAAP9E0QYAoA1anVuiu+at0frdDknSqB5xuu6E7hrRrZ2sVmYTBwDgaFC0AQBoQ0qr3Pr315s188ds+QwpOjRQfz+lr84cmMRyXQAANBKKNgAAbUC506NXf8zWyz9sk+O3+7BPz0jUvaf0VVy43eR0AAC0LhRtAABasSqXV2/8sl0vfrdVxZVuSVLPDuGaNqGPRveONzkdAACtE0UbAIBWKiuvVNfPztTOokpJUre4MN0yNlWn9E+UjfuwAQBoMhRtAABaGcMwNHdpjv7+8Vq5PD4lRgXrtpN66syBSQqwWc2OBwBAq0fRBgCgFalyeXXvR1l6b3muJOnE3vF68rwMRYUGmpwMAIC2g6INAEArsbOwUtfMWq71ux2yWqQ7Tu6l647vznJdAAA0M4o2AACtwK/bCnXtrOUqqXQrLjxIz54/UCO7x5kdCwCANumIirZhGCotLVVYWJgCAw9+KVpVVZVCQkIOua/6jAEAAAf39pKduufDLHl8hgYkR+m/Fw9RQlSw2bEAAGizGjQjSlFRkf71r3+pZ8+eiomJ0dy5cw847rnnnlN8fLwiIiKUnJys2bNnH9EYAABwcF6foQc+Wae7318jj8/QKf07au41IyjZAACYrEFFe968edq7d6/mz59/0DEffPCB/vznP2vGjBmqqqrSAw88oKlTp+qnn35q0BgAAHBwe0qrddlrS/XKT9mSpNvG9tRz5w9UcKDN5GQAAMBiGIZxRC+0WPTmm2/qoosuqrP9+OOPV0JCQp2z3ccee6xSUlL09ttv13vM4TgcDkVFRam0tFSRkZFH8hYAAPA7Pp+hOUt36p/zN6jM6VFwoFVPnJuhSf07mh0NAIBWr749tFEX0zQMQ0uXLtVxxx1XZ/vxxx+vxYsX13sMAADY39Z95Zry8q/62wdZKnN6NCAlWh/ecCwlGwCAFqZRZx0vKytTVVWV4uLqznIaHx+v/Pz8eo85EKfTKafTWfvY4XA0YnIAAFout9enl77fpme+2iyXx6eQQJv+Mq6Xpo7sIhtLdwEA0OI0yfJePp+vzmOPxyOLxdLgMX80ffp03X///Y0XEgAAP7Aqp0R3zVutDXvKJEl/6tleD5+RrpTYUJOTAQCAg2nUoh0REaGIiAjt3bu3zvb8/HwlJibWe8yBTJs2TbfffnvtY4fDoZSUlEZMDwBAy1Hp8ujJRZv0yk/Z8hlSTGig/n5qX52RkXTIH0wDAADzNeo92haLRccee6y++uqrOtu/+OILjRo1qt5jDsRutysyMrLOFwAArY1hGFq0do/GPf29ZvxYU7JPz0jUF7cfrzMHJlOyAQDwAw06o+3xeFReXl77uLKyUiUlJbLb7QoJCZEk3XXXXRo7dqyeffZZnXrqqXr11Ve1fv16vfnmm7Wvq88YAADamo17yvTAp2v105ZCSVJiVLAePrOfRveONzkZAABoiAYt7/Xdd9/p9NNP32/7JZdcomeffbb28YcffqiHH35YO3fuVGpqqh588EGNHj26zmvqM+ZQWN4LAOBv8h3Vei8zVz9tKVBMaJBSYkOVEhOqpJgQfbV+r2b9ukM+QwoKsOrKUV11/egeCrc3yXQqAADgCNS3hx7xOtpmo2gDAPyB2+vT1xvy9c7SHH27aZ+8vkP/szs+LUF/ndhHndox2RkAAC1NfXsoPyYHAKCJFFW4dPYLPyu7oKJ225DOMTp1QKJcHp9yiiuVU1SpnOIqxYQG6raxPTWyR9wh9ggAAPwBRRsAgCby8GfrlV1QodiwIJ07JFnnDk5Rj/hws2MBAIAmRtEGAKAJ/Ly1QPMyc2WxSDOnDtHATjFmRwIAAM2kUZf3AgAAktPj1T0fZEmSLhremZINAEAbQ9EGAKCRvfDtVm0rqFD7CLv+Mr6X2XEAAEAzo2gDANCItu4r13++2SpJuu/UvooMDjQ5EQAAaG4UbQAAGolhGPrbB2vk8vp0fM/2mtSvo9mRAACACZgMDQCARlBW7dYrP27Xr9uKFBxo1UNnpMtisZgdCwAAmICiDQDAETIMQ0u3F+udZTn6bPVuVbm9kqSbT0xVSmyoyekAAIBZKNoAAByBbzbm68FP12nbvorabd3bh+nC4Z01dWQX84IBAADTUbQBAGiAwnKnHvh0nT5auUuSFBZk0yn9E3Xe0GQN6hTD5eIAAICiDQBAfRiGoQ9X5umBT9apuNItq0W6YlRX3TK2p8Lt/HMKAAD+h08GAAAchsfr001zVmhB1h5JUu+ECD12Tn/1T442NxgAAGiRKNoAABzGI/M3aEHWHgXZrLplbKqu/lM3BdpYIRMAABwYRRsAgEN4Z2mOXvkpW5L0zJQMTWBtbAAAcBj8OB4AgINYtr1If/twjSTp1rGplGwAAFAvFG0AAA4gr6RK185aLrfX0IT0BN08JtXsSAAAwE9QtAEA+H8qXR5d9foyFZS71KdjpJ44b4CsVpbtAgAA9UPRBgDg/3nw03Vat9uhdmFBevmSwQoNYkoTAABQfxRtAAD+4OctBZqzJEeS9NwFA5UcE2pyIgAA4G8o2gAA/KbS5dHd79dMfnbRMZ00snucyYkAAIA/omgDAPCbJxdt0s6iSiVGBeuu8b3NjgMAAPwURRsAAEkrdhbXrpf98Jn9FBEcaHIiAADgryjaAIA2z+nx6q55q+UzpDMHJml073izIwEAAD9G0QYAtHn/+WarNu0tV7uwIN17Sl+z4wAAAD9H0QYAtGnLdxTpP99ukST947Q0xYYFmZwIAAD4O4o2AKDN2lVSpWvezJTba2hSv446pX9HsyMBAIBWgKINAGiTqlxeXf3mMhWUO9U7IUKPndNfFovF7FgAAKAVoGgDANocwzD0l/dWKSvPodiwIL18yRCF2QPMjgUAAFoJijYAoM35z7db9enq3QqwWvTChYOUEhtqdiQAANCKULQBAG3KF+v26l8LN0qSHjg9XcO7tTM5EQAAaG0o2gCANqO4wqW75q2WJF0yorMuGN7J5EQAAKA1omgDANqM6QvWq6jCpV4dIlgvGwAANBmKNgCgTVi8rVDvLMuVJD1yVroCbfwTCAAAmgafMgAArZ7T49VfP1gjSbpgeCcN7hxrciIAANCaUbQBAK3eS99t09Z9FYoLD9Jd43qbHQcAALRyFG0AQKuWXVCh577ZIkm695S+igoNNDkRAABo7SjaAIBWyzAM3fthllwen45LjdNpAxLNjgQAANoAijYAoNV6Z1mOftxSIHuAVQ+dkS6LxWJ2JAAA0AZQtAEArdKmvWW67+O1kqTbTuqpzu3CTE4EAADaCoo2AKDVqXJ5dcPsTFW7ay4Zv/q4bmZHAgAAbQhFGwDQ6vzj47XanF+u9hF2PTU5Q1Yrl4wDAIDmQ9EGALQqH67I09xlObJYpGemZCgu3G52JAAA0MZQtAEArca2feX62wdrJEk3j0nVyO5xJicCAABtEUUbANAqOKrdun52pipcXh3TLVY3n5hqdiQAANBGUbQBAH6v2u3VVa8v04Y9ZYoLD9IzUwbKxn3ZAADAJBRtAIBf83h9unnOCi3OLlK4PUCvXTZMHSKDzY4FAADaMIo2AMBvGYahv32QpUXr9irIZtXLlwxRelKU2bEAAEAbR9EGAPitxxZu1NxlObJapGfPH6gR3duZHQkAAICiDQDwT3OX7tQL326VJD1yZj+NT08wOREAAEANijYAwO+UOz167PONkqTbxvbUlGGdTE4EAADwPxRtAIDfefn7bSqscKlrXJiuH93d7DgAAAB1ULQBAH5lX5lTL/+wTZL0l3G9FGjjnzIAANCy8OkEAOBXnvt6sypdXg1IidYE7ssGAAAtEEUbAOA3dhRW6K3FOyVJd43vJYvFYnIiAACA/VG0AQB+4/FFm+TxGTq+Z3uN7B5ndhwAAIADomgDAPxCVl6pPlm1S5J05/heJqcBAAA4OIo2AMAvPPr5BknSGRmJSkuMMjkNAADAwVG0AQAt3veb9umHzQUKtFl0x8mczQYAAC0bRRsA0KJ5fYYemb9eknTxMV2UEhtqciIAAIBDo2gDAFq095bnaMOeMkUGB+jmE3uYHQcAAOCwKNoAgBarwunR44s2SZJuPjFV0aFBJicCAAA4vIDG3mFmZqYqKyv32x4TE6O0tDRJUk5Ojnbs2FE3SECAjjnmmMaOAwDwYy99v037ypzqFBuqi0d0NjsOAABAvTR60X7iiSf2K9E//fSTLr74Yr3xxhuSpNdff12PPfaY+vfvXzsmIiJCCxYsaOw4AAA/tddRrZe+3yZJuntCb9kDbCYnAgAAqJ9GL9qzZ8+u8/iHH37Qn/70J1166aV1tvft21c//vhjY397AEAr8cSijapyezW4c4wmpCeYHQcAAKDemvwe7ZkzZ6p79+4aPXp0ne0ej0erVq3Sxo0b5fF4mjoGAMCPrNvl0LvLcyVJf5vURxaLxeREAAAA9dekRbusrEzvvvuurrzyyv0+JK1YsUIXXHCBTjzxRCUkJOjNN9885L6cTqccDkedLwBA6+P1GfrHJ2tlGNKk/h01qFOM2ZEAAAAapEmL9pw5c+Ryufa7bHzo0KHatm2b1q5dq9zcXN1zzz269NJL9euvvx50X9OnT1dUVFTtV0pKSlNGBwCY5OUftmlJdpFCg2y6e3xvs+MAAAA0mMUwDKOpdj58+HAlJSXp/fffP+zY3r17a9KkSXriiScO+LzT6ZTT6ax97HA4lJKSotLSUkVGRjZaZgCAebLySnXmf36S22vo0bP7afLQTmZHAgAAqOVwOBQVFXXYHtrok6H9LisrS0uWLNH8+fPrNb5Dhw7Ky8s76PN2u112u72x4gEAWpgql1c3v71Cbq+h8WkJOm8IVy4BAAD/1GSXjs+YMUMpKSkaN27cfs9VVFTUebxv3z6tXLlS6enpTRUHANDCPTx/nbbtq1CHSLumn9WPCdAAAIDfapIz2i6XS7NmzdJNN90kq3X/Lj969GidccYZGjhwoAoKCvTYY48pPj5e119/fVPEAQC0cF+u26tZv+6UJD1xboZiwoJMTgQAAHDkmuSM9vLly9W7d29dfvnlB3x+4cKF8nq9ev755/XJJ59o6tSpWrVqlWJjY5siDgCgBdtX5tRd81ZLkq4c1VWjUuNMTgQAAHB0mnQytKZU35vQAQAt23WzlmtB1h71TojQRzceK3uAzexIAAAAB1TfHtqky3sBAHAoC9bs1oKsPQqwWvTkeRmUbAAA0CpQtAEApiitdOvej9ZKkq47obv6JnJ1EgAAaB0o2gAAUzz02ToVlDvVvX2YbhzTw+w4AAAAjYaiDQBodt9v2qd3l+fKYpEeO6c/l4wDAIBWhaINAGhWFU6Ppr2/RpI0dUQXDe7MihMAAKB1oWgDAJrVvxZuVF5JlZJjQvSXcb3MjgMAANDoKNoAgGbz7cZ8vfbzdknS9LP6KcweYG4gAACAJkDRBgA0i72Oat3+zipJ0iUjOuu41PYmJwIAAGgaFG0AQJPz+gzdPGeFiipcSkuM1F8n9jE7EgAAQJOhaAMAmtwzX23W4uwihQXZ9O8LBik4kFnGAQBA60XRBgA0qZ+3FOi5rzdLkh45q5+6xoWZnAgAAKBpUbQBAE1mX5lTt8xdKcOQpgxN0ekZSWZHAgAAaHIUbQBAk9hTWq2LZizWvjKnenYI132nppkdCQAAoFmwrgoAoNFtyS/TJTOXaFdptdpH2PWfCwcrJIj7sgEAQNtA0QYANKrlO4p0+WvLVFrlVrf2YXr9smFKiQ01OxYAAECzoWgDABrNorV7dNOcFXJ6fMpIidYrlw5VbFiQ2bEAAACaFUUbANAoPl29SzfPWSGfIY3pHa9/XzBQoUH8MwMAANoePgEBAI7a51l7dMvbK+UzpLMGJemxs/srwMZ8mwAAoG2iaAMAjspX6/fqpjmZ8voMnTUwSf86Z4BsVovZsQAAAEzD6QYAwBH7btM+XTcrU26voUn9O+qxc/pTsgEAQJtH0QYAHJGftxTo6jeWyeX1aVxaBz09OYPLxQEAAETRBgAcgSXZRbri9WVyenw6sXe8njt/kAIp2QAAAJIo2gCABlq+o1iXvbpEVW6v/tSzvZ6/cJCCAvjnBAAA4Hd8MgIA1Nvq3BJd+soSVbi8Gtm9nV66eLCCA21mxwIAAGhRKNoAgHpZu6tUF89cojKnR8O6xGrG1CGUbAAAgAOgaAMADmvFzmJdNGOxSqvcGtQpWq9cNlShQawQCQAAcCB8SgIAHJRhGHrz1x168NN1cnsN9U+O0muXD1O4nX8+AAAADoZPSgCAA6pwejTt/TX6eNUuSdKE9AQ9dk5/RQQHmpwMAACgZaNoAwD2syW/XNfNWq7N+eUKsFp094TeumJUV1ksFrOjAQAAtHgUbQBALcMw9PbSHD3wyTpVub3qEGnX8xcM0pAusWZHAwAA8BsUbQCAJKmw3Km75q3Rl+v3SpKO7dFOT08eqPYRdpOTAQAA+BeKNgBA32zM11/eXa2CcqeCbFb9ZVwvXTGqq6xWLhUHAABoKIo2ALRh2/aV6+kvN9dOeJYaH65npgxU38RIk5MBAAD4L4o2ALRBOUWVeuarzXo/M1c+o2bbpSO76O4JvRUcaDM3HAAAgJ+jaANAG7KrpErPfb1F7y7Lkee3hj22T7xuHdtT6UlRJqcDAABoHSjaANAG5Duq9Z9vt+qtxTvl8vokScelxun2k3pqYKcYk9MBAAC0LhRtAGjFiitceuG7rXrjl+2qdtcU7OFdY3XHyb00rCtLdgEAADQFijYAtFJZeaW68vVl2uOoliQN6hStO07upZHd28liYTZxAACApkLRBoBWaMGa3brtnZWqdvvUrX2Y7p3UVyf0ak/BBgAAaAYUbQBoRQzD0L+/3qInvtgkSTq+Z3s9d8FARQYHmpwMAACg7aBoA0Ar4ah2654PsmrXxL782K7668TeCrBZTU4GAADQtlC0AcDPVTg9eu3n7Xrp+20qrXIrwGrRg2ek6/xhncyOBgAA0CZRtAHAT1W7vZr16w698O1WFVa4JEk94sP10BnpOqZbO5PTAQAAtF0UbQDwM4Zh6KOVu/TPBRtqZxTv0i5Ut4xN1WkDkmSzMuEZAACAmSjaAOBHVuaU6P5P1mrFzhJJUlJ0iG45MVVnDUriXmwAAIAWgqINAH4g31GtRz/fqHmZuZKk0CCbbhzTQ5cf21XBgTaT0wEAAOCPKNoA0IJVu72a+WO2/vPNFlW4vJKkswcl687xvdQhMtjkdAAAADgQijYAtECGYWjh2r16eP465RRVSZIyUqL1j9PSlJESbW44AAAAHBJFGwBaAMMwlFtcpay8Uq3d5dDPWwuU+dt92B0i7bp7Qm+dPiBJViY6AwAAaPEo2gBgonxHtZ5YtEkLsnbLUe2p81xQgFVXH9dN153QXWF2/roGAADwF3xyAwATVLu9euWnbD3/9f/uvQ6yWdUzIVxpHaOUlhSpE/t0UFJ0iMlJAQAA0FAUbQBoRoZhaNG6vXr4s/XaWVQpqebe67sn9NagTjEKCmCJLgAAAH9H0QaAZrJxT5ke+HStftpSKIl7rwEAAForijYANLHiCpee/GKTZi/eIZ/BvdcAAACtHZ/wAKCJeH2GZv26Q09+sUmlVW5J0sR+CZo2oY9SYkNNTgcAAICmQtEGgCawcU+Z7pq3WitzSiRJvRMidN+paRrRvZ25wQAAANDkKNoA0IicHq+e/3qLXvhuq9xeQxH2AN05vpcuGN5ZNu7DBgAAaBMo2gDQCHw+Q19vyNf0Beu1dV+FJOmkvh304OnpSogKNjkdAAAAmhNFGwCOQrXbq3mZuZr5Y7a2/Vaw48LteuD0NE1IT5DFwllsAACAtoaiDQBHwOXx6YVvt+r1X7arqMIlSYqwB+iC4Z10/Qk9FBUaaHJCAAAAmIWiDQANVFTh0rWzlmtJdpEkKSk6RJeP6qrJQ1MUznJdAAAAbR6fCAGgATbtLdMVry9VTlGVIuwBeuCMNJ3aP1EBNqvZ0QAAANBCNHrRzszM1JIlS+pss9vtuuyyy+ps8/l8+vbbb7Vjxw6lpqZq1KhRjR0FABrVNxvyddOcFSp3etQpNlQzpw5RaocIs2MBAACghWn0oj1//nw999xzOvPMM2u3hYaG1hlTWVmp8ePHa/v27RoxYoSmTZumY445Ru+9954CAjjJDqDlef3n7br/k7XyGdLwrrF64aLBig0LMjsWAAAAWqAmabVdu3bViy++eNDnH3vsMW3dulWrVq1SXFycsrOz1b9/f82cOVPXXHNNU0QCgCP2ztIc3ffxWknSlKEpeuD0dAUFcKk4AAAADqxJPik6HA7Nnj1b8+bNU3Z29n7Pv/3225o8ebLi4uIk1RTzSZMm6e23326KOABwxBau3aO7318tSbrmT900/ax+lGwAAAAcUpN8WiwqKtLHH3+sl156Sb1799Zf//rX2ufcbrc2b96svn371nlN3759tXbt2oPu0+l0yuFw1PkCgKb0y9ZC3TRnhXyGdN6QZN09oTfrYgMAAOCwGv3S8YkTJ+qOO+5QSEiIJGnhwoWaMGGCRowYoVNPPVXl5eXy+XyKjo6u87qYmJhDlufp06fr/vvvb+y4AHBAWXmluuqNZXJ5fDqpbwc9cmY/SjYAAADqpdHPaA8aNKi2ZEvSuHHjNHDgQH3++eeSVPtcWVlZndc5HI79Jk37o2nTpqm0tLT2Kycnp7GjA4CkmiW8Ln11icqdHg3rGqvnzh/I8l0AAACot2aZ4js4OFjFxcW1/52cnLzfvdvZ2dnq0aPHQfdht9tlt9ubNCcAfLQyT3fPW6Mqt1d9OkZqxtQhCg60mR0LAAAAfqTRT9Fs3bq1zuNNmzZp+fLlGjlyZO220047Te+9955cLpekmrPZH3/8sU477bTGjgMA9eL0eHXvh1m65e2VqnJ7dWyPdpp1xTBFBgeaHQ0AAAB+xmIYhtGYOzz++OOVlJSkgQMHqqCgQDNmzNCQIUP00UcfKTg4WJK0e/duDR8+XN26ddO4ceP0/vvvq7KyUr/88osiIyPr9X0cDoeioqJUWlpa79cAwIHklVTp+tmZWpVTIkm6aUwP3Tq2p2xW7skGAADA/9S3hzZ60fb5fProo4+0ePFihYaGatiwYRo/fvx+4woLC/Xaa69p586dSk1N1aWXXqrw8PB6fx+KNoDGsHhboa6bnamiCpeiQgL11OQBGtO7g9mxAAAA0AKZVrSbC0UbwNGau3Sn7vkwS26vofSkSL1w4WClxB58UkYAAAC0bfXtoc0yGRoAtCRen6Hp89drxo81kzJO6t9Rj58zQCFBTHoGAACAo0fRBtCmlFW7dfOcFfpm4z5J0q1jU3XLiamskQ0AAIBGQ9EG0GZs2luma2ct17Z9FbIHWPXEeQN0Sv9Es2MBAACglaFoA2gTPlyRp2nv16yP3TEqWC9eNFgDUqLNjgUAAIBWiKINoFVzerx68NN1mvXrTknScalxenpyhtqF201OBgAAgNaKog2g1cp3VOuqN5ZpVW6pJOnmE2vux2Z9bAAAADQlijaAVmnrvnJdMnOJ8kqqFB0aqKcmZ2h0r3izYwEAAKANoGgDaHVW7CzW5a8tVXGlW13aheqNy4erUzvWxwYAAEDzoGgDaFW+3rBX18/OVLXbpwHJUXrl0qHcjw0AAIBmRdEG0CrkFFXqgxV5euarzfL6DJ3Qq72ev2CQwuz8NQcAAIDmxSdQAH5rS36ZFqzZo8/X7tHaXY7a7WcPStY/z+6nQJvVxHQAAABoqyjaAPxOQblT93+yTp+s2lW7zWqRhndtpzMHJuncIcmyWJhZHAAAAOagaAPwG4ZhaF5mnh76bJ1KKt2yWqTje7bXhPSOGtu3g2LDgsyOCAAAAFC0AfiHnYWV+tuHa/TD5gJJUp+OkXrs7P7qlxxlcjIAAACgLoo2gBYrp6hSC9fu0cK1e7RsR7EMQwoKsOrWsam66rhu3IMNAACAFomiDaDFqHZ7lbmjWD9vLdS3m/KVleeo8/xxqXF64PR0dY0LMykhAAAAcHgUbQCmMAxDex1Ord1VqtW5pVqcXajMnSVyeXy1Y6wWaVjXWI1PS9DJaQlKjA4xMTEAAABQPxRtAE3O5zO0o6hSa3eVau0uh7LySrVul0OFFa79xnaItGtk9ziN6N5OY3rHKy7cbkJiAAAA4MhRtAE0KrfXpy355crKqynV63Y5tG63Q+VOz35jrRapR3y40hKjNLhzjEZ0b6ducWEszQUAAAC/RtEGcMSqXF6t3+P4rVCXKivPoY17y+pc/v27oACr+iREqG9ilNISI5WeFKXeCREKDrSZkBwAAABoOhRtAA3yx5nAl+8ols/Yf0yEPUB9EiOV/lupTkuKVPf24cwSDgAAgDaBog3ggAzDUEG5SznFlcopqtTWfRX6esPe/WYCjwu315Tp385SpyVGKiUmVFYrl38DAACgbaJoA6j1+9nqRWv3ak1eqarc3v3GWC3S0C6xGp+eoJP6dlByTKgJSQEAAICWi6INtHFb8su1cO0eLcjavd/ZaotF6hgZrOTYUKXEhGpIlxid1LcDM4EDAAAAh0DRBtoYwzC0dpdDn2ft0edr92hLfnntc39ct/q4nu2VEhOqoADuqwYAAAAagqINtAG7Sqr0y9ZC/by1UL9sLdCu0ura5wJtFo3qEafx6Qka26eD2nG2GgAAADgqFG2gldqSX653l+doYdYebS+srPNcSKBNJ/Rqr/HpCRrdO16RwYEmpQQAAABaH4o20IpUOD36bPVuvbMsR8t2FNdut1qk/snRGtG9nUZ2b6chnWMVEsT61QAAAEBToGgDfs4wDC3fUax3luXo09W7VemqmSncZrVodK/2OntQso5NjeOsNQAAANBMKNqAn8p3VOuDFXl6Z1mOtu6rqN3eLS5M5w5J0dmDkhQfGWxiQgAAAKBtomgDfiSnqLJ2tvDMncUyjJrtIYE2ndK/o84bmqIhnWNksVjMDQoAAAC0YRRtoAUzDENb8sv1edYeLcjao3W7665zPbhzjM4dnKxTBiQq3M4fZwAAAKAl4JM50ML8vs71/DW79fnaPdr2h8vCbVaLhneN1fj0BJ3cN0EJUVwaDgAAALQ0FG2ghSiucOnDlXmauzRHG/aU1W4Pslk1KvV/61zHhgWZmBIAAADA4VC0ARMVljv167Yizc/arS/W7pXL65MkBQVYNbZPvMand9ToXu0VwYzhAAAAgN+gaAPNqLTKrcXbCvXLtkL9srWwzplrSUpPitR5Q1J0+oAkRYVSrgEAAAB/RNEGmlCly6Ml2UX6ZWtNuc7KK5XPqDumd0KEju0Rp7MGJSktMcqcoAAAAAAaDUUbaGSllW59uX6vPl+7R99v2ienx1fn+W7twzSyezuN6BanY7rFql243aSkAAAAAJoCRRs4CoZhaI+jWll5Dq3dVapl24v167ZCef5w2jopOkTH9minkd3jNKJ7O3WIZKZwAAAAoDWjaAMN4PUZWrurtPZS8NW5pSqqcO03rndChMalJWh8eoJ6J0TIYrGYkBYAAACAGSjawCEUlDu1dlfN2erMHSVanF2osmpPnTE2q0Wp8eHqmxip9MQondCrvbq1DzcpMQAAAACzUbQB1VwCnltcpbW7HFq3q/S3cu3QHkf1fmMj7AEa3q2dRnZvp8GdY9QrIULBgTYTUgMAAABoiSjaaNWqXF6VVrnl9Hjl9PhU7faq3OlRXnGVcoqrlFtUqZziSm3aW67SKvcB99EtLkx9EyPVLylKx3Rrp7TESAXYrM38TgAAAAD4C4o2WpVqt1fLdxTrl62F+nlrgVbnltaZmOxQAqwW9ewQobTEyJqvpCj16RipcDt/TAAAAADUHw0CfscwDG0vrNTS7UXKK67SntJq7XZUa09plbYXVMrlrbucVqDNInuATfYAq+wBVgUH2ZQYFaKU2BAlx4QqJTZU3eLClNohXPYALgEHAAAAcHQo2mjxXB6fdhZVasXO389UFx7w3unfdYi069jucTqmezuN6NZOKbGhzZgWAAAAQFtH0YZpKpwe5RZXKbe4UiWVblW6vap0elT5233V2wsrlF1QodziKnn/3+XfQTarMlKi1aNDuDpGBishKlgdfztL3Sk2lOW0AAAAAJiGoo1GVe32Kt/h1N6yau0prVZ+mVOllS45qj1yVLlVWuVWQblTOcVVB1x/+mBCg2zqlRChkd3baUS3OA3uHKOQIC7zBgAAANDyULQhSfJ4fdpdWq28kirlFVepuNIln2HIMCSfIfkMQ9Vur8qqPSp3elT+269lTo/Kq9212ypc3gZ936iQQCXHhCg2LEhhQQEKDbIp1G5TuD1QnWJD1TUuTN3ahyk+ws5ZagAAAAB+gaLdChmGIZfXJ6fHp7Jqj3KKKrWzqLL216IKl6pcXlW5a74qnV7ll1WrnpNzH5Y9wKqEqGB1iAhW+0i7YkIDFRUSqMjgml9jwoKUHBOilNhQRQYHNs43BQAAAIAWgqLdgjg9Xu0tdWp3aZUqXJ7as8mGYcjjM1RQ7tReR7X2Omp+La50yen21a4P7fT4ateLNo6gNAfZrEqMDlZSTIjiwu2yWSyyWCyyWCSLai7fDg8OULg9UOHBAYqwByjMHqBwe4Aigmt+jf6tVHP2GQAAAEBbRdFuAJ/PUIXLU3v5tMdrKNBmkc1qUaDNKqvVorJqt0oqa75Kq1wqq/ao+rczx1Uun6rc3prHfzijXF7t0V5HtQobcM9yfQVYLUqKqZkg7Pev9hF2hQbZFBxoU0igTSFBNiVEBisu3C6rlYIMAAAAAEejzRbtardXex3V2l1aLUeVu/bMsc+QvIahfEe1cooqlfPbrNi7S6tV7vQc0ZnihggOtKpjVIjC7QGyWi2ySLJaJJvVonZhdnWItCs+MlgJkcGKDQtScKBN9kDrb2tE16wV/cdtQTYrZ5cBAAAAoBm1iqLt9RnKL6tWXnGV8kqqtKukWnklldpVUq3yao+8hiGvr+bL7fUpv8zZoBmv/79Am0URwYGyWS3yeH3yeA25fT75fFJEcICiQgMVHRKomNAghQcH1D17/NsZZPsfHofaa84od4wK5rJrAAAAAPBzfl+0T37qOxU4bfIcwUxev589jg4N/O1+ZMlischqkeLC7UqOCVVKbIhSYkKVGB2iqJBARQQHyB7AWWIAAAAAwIH5fdHeVVItqz1UAVaLEqKClRQdUvMVE1Jbjq2WmvuoA6w1v7aPsHP2GAAAAADQJPy+aL95xVD1TOmg+Ihg2ZjICwAAAABgMr8v2gM7xSoyMsTsGAAAAAAASJKsZgcAAAAAAKA1oWgDAAAAANCIKNoAAAAAADQiijYAAAAAAI2oSSZD++GHH/Tdd9/J7XZr6NChOuWUU+o8v3DhQn3yySd1toWGhuqxxx5rijgAAAAAADSbRi/a48aNU3V1tY477jjZbDZdffXVGjx4sD766CNZrTUn0JcuXarPPvtMd9xxR+3r7HZ7Y0cBAAAAAKDZNXrR/te//qX+/fvXPj7//PPVp08fLViwQJMmTard3qFDB914442N/e0BAAAAADBVoxftP5ZsSUpNTVVQUJD27NlTZ/vevXs1bdo0BQcHa9iwYZowYUJjRwEAAAAAoNk1+WRos2bNksfj0ahRo+psT0pKUmhoqBwOhy644AKdfvrp8vl8B92P0+mUw+Go8wUAAAAAQEtjMQzDaKqdr1y5Uscdd5xuueUWPfTQQ7Xbc3JylJKSUvt4/fr1ysjI0IsvvqjLLrvsgPv6xz/+ofvvv3+/7aWlpYqMjGz88AAAAAAA/IHD4VBUVNRhe2iTFe21a9dq9OjROuOMM/Tf//5XFovlkONHjhypPn36aObMmQd83ul0yul01j52OBxKSUmhaAMAAAAAmkV9i3aTLO+1bt06jRkzRqeffnq9SrZUU6Q9Hs9Bn7fb7cxMDgAAAABo8Rr9Hu0NGzZozJgxOu200/TSSy8dsGQvXLiwzuOvvvpKK1as0Lhx4xo7DgAAAAAAzapJ1tGuqKhQUFCQbrrpptrtEydO1MSJEyVJb7/9tu68805lZGSooKBAX331lW699Vadf/75jR0HAAAAAIBm1ehFe9q0aQe8BDwuLq72v1999VVt2rRJS5YsUWhoqJ5//nl16dKlsaMAAAAAANDsmnTW8aZU35vQAQAAAABoDPXtoU2+jjYAAAAAAG0JRRsAAAAAgEZE0QYAAAAAoBFRtAEAAAAAaEQUbQAAAAAAGhFFGwAAAACARkTRBgAAAACgEVG0AQAAAABoRAFmBzhShmFIqlkwHAAAAACApvZ7//y9jx6M3xbtsrIySVJKSorJSQAAAAAAbUlZWZmioqIO+rzFOFwVb6F8Pp927dqliIgIWSyWI96Pw+FQSkqKcnJyFBkZ2YgJcTBDhw7V0qVLzY7RJnB8Nz+O7+bD8W0OjvHmwzHe/Di+mw/Hd/Pj+G4chmGorKxMiYmJsloPfie2357RtlqtSk5ObrT9RUZG8oe8mdhsNn6vmxnHd/Ph+G5+HN/Ni2O8+XGMNx+O7+bH8d18OL4bz6HOZP+OydDQ7G644QazIwBNhuMbrR3HOFozjm+0ZhzfzctvLx1vLA6HQ1FRUSotLeUnPGh1OL7RmnF8o7XjGEdrxvGN1q7Nn9G22+267777ZLfbzY4CNDqOb7RmHN9o7TjG0ZpxfKO1a/NntAEAAAAAaExt/ow2AAAAAACNiaINAAAAAEAjomgDAAAAANCI/HYd7f8vLy9PP/74o9LS0pSenr7f816vVytWrFBubq569OhxwDGS5HK59Ouvv6qiokIjR4484BppGzZs0Pr165WcnKwhQ4bIYrE0+vsB/qi4uFhfffWVkpKSNGLEiAOOWbNmjbZt26aOHTtq6NChdY7LlStXasOGDQd83eTJk+uMzcnJUWZmpmJiYjRy5EgFBLSavybQQlVXV2vRokWy2+0aN27cAcds3bpV69evV2RkpEaMGKHAwMD9xmRnZ2vdunUKDAxURkaG4uPj9xtTWFioX375RXa7Xccee6xCQ0Mb/f0Af+T1evXVV1+ptLRU55577gHH7Nq1S6tXr5bVatWxxx6rsLCwIxpTUVGhH3/8UR6PRyNHjlRMTEyjvx/gj/bs2aMVK1YoPDxcAwcOVHh4+H5j3G63fvrpJ5WWlmrIkCFKSkpqsjFAi2L4ua1btxpnnnmmkZKSYoSFhRn33XfffmO2bdtm9OvXz+jatatxyimnGPHx8caUKVMMt9tdZ9x3331nJCUlGenp6cbpp59u9OrVy/j666/rjLnuuuuMiIgI4+STTzbi4+ONMWPGGBUVFU35FtGGFRcXG5dddpnRsWNHo3379sbkyZP3G1NaWmqMHj3a6NChg3HKKacYXbt2NUaNGmWUlJTUjpk1a5YxefLkOl8JCQlGYmKi4fP5asc9/vjjRkhIiDFmzBijS5cuRt++fY28vLxmea9oe3w+n3H77bcbiYmJRkpKijFgwID9xni9XuOSSy4xIiMjjYkTJxrp6elGamqqsW3btjr7ueqqq4zQ0FBjwoQJxvHHH28EBwcbTz75ZJ19zZs3zwgPDzeOPfZYIz093ejYsaOxYsWKJn6XaMueeOIJo3Pnzka3bt0Mu91+wDH33XefERoaapx88snGiBEjjPj4eOPnn39u8JglS5YY8fHxxoABA4wRI0YYERERxieffNJk7w1tm8PhMKZMmWIkJycbEyZMMAYOHGi0b9/e+PTTT+uM27Fjh9GzZ0+je/fuxujRo42QkBDjueeea5IxQEvj90U7MzPTmDdvnuF2u43u3bsfsGiPHz/eOO644wyn02kYRk156dy5s/HMM8/UjsnJyTEiIyONadOm1W4rKioyvv/++9rH7777rhEUFGSsXLnSMAzD2Lt3r5GYmGjcc889TfTu0Nbl5uYaM2bMMCoqKoxJkyYdsGjfeuutRufOnY3i4mLDMAzD6XQao0aNMq677rqD7reiosKIjIysc+yuWrXKsFgsxgcffGAYhmFUVVUZQ4YMMc4555xGfU/A77xer/H4448bhYWFxh133HHAov3iiy8aoaGhxpYtWwzDqCnVl156qTF69OjaMd9//70hqU7xeO655wyr1Vr7A6fCwkIjMjLSmD59eu2Yc845x0hPT2+idwcYxvPPP2/s3LnTePnllw9YtL/99ltDUp0f6j/yyCNGp06dDJfLVe8xXq/XSE1NNaZOnVo75m9/+5sRGxtrOByOJnp3aMv27t1rzJkzx/B6vbXb7rzzTiMiIsKoqqqq3TZp0iRj1KhRtcfqm2++adhsNmPDhg2NPgZoafy+aP/RwYp2dHS08fjjj9fZduWVVxqDBg2qfXzXXXcZHTp0qP0DfCCnn366MWHChDrb7rzzTqNLly5HFxyoh4MV7WOOOca48sor62x7/PHHjYiICMPj8RxwX6+99pphsViM7Ozs2m133XXXfsfyK6+8YgQGBvJBDU3uYEX70ksvNUaNGlVn26effmpIMnbs2GEYhmF88cUXhiRj165dtWM+++wzw2q1Gnv37jUMwzBeffVVIygoqM6x/PPPPxuSan94CjSVgxXtf/7zn0ZcXFydbVu2bDEkGYsWLar3mF9++cWQZKxatap2TH5+vmGz2Yy33367sd8OcECLFy82JBlr1641DMMwCgoKDKvVasydO7d2jNfrNRISEox//OMfjToGaInaxGRoiYmJ+92fumHDBq1Zs0bGb8uIf//99xo9erQqKir0ySef6LvvvlNZWVmd16xZs2a/e7v79eun7du37zcWaC4HO77LysqUnZ19wNfMnDlTJ510krp06VK7bc2aNerXr1+dcf369ZPb7dbGjRsbPTdQH4mJicrOzpbL5ard9vvxvnr1aknSiSeeqKlTp+qcc87Ryy+/rGeffVZ33HGHHn300dr7tNesWaPOnTsrIiKidj+/H+9r1qxprrcD1JGYmKji4mLl5+fXbvv9+F61alW9x6xZs0YWi0VpaWm1Y9q3b6+EhASObzSbL7/8UiEhIerWrZskad26dfL5fHU+O1utVqWlpdUel401BmiJ2sQsR3//+9910UUXKSQkRBkZGfryyy+1Y8cOud1uVVZWKiwsTPn5+QoODtagQYPUp08f7dq1S7m5uXrrrbd00kknSZJKS0sVGxtbZ9/t2rWrfe6PH+CA5nL33XfruOOO0wUXXKCxY8dq5cqV+vLLLyXVHJf/3+bNm/XDDz/o3XffrbO9tLRUPXr0qLPt9+O7pKSkacIDh3HDDTfo5Zdf1sSJEzVlyhTt3Lmz9tj9/fi2WCwaPny4vv32W82bN09VVVWyWCx1PpQd6O/v8PBwBQUFcXzDNOecc44effRRnXTSSbruuutUVlammTNnKjw8vPb4rs+Y0tJSRUZGymaz1dl/u3btOL7RLJYtW6aHHnpI/9fe/YU09f5xAH8r6JyMMrIc9o88WtRFadhFUZZbNf9kBjWCmtNmJCEJXSQZESxK6kLQIi1FwbCaSAZGaeZFCjbKpAjd+gPhrIb9UZuaDpvud+HP8+Uwf/y6OPpd+H7dPc/58OADH+b5nOd5zjGbzQgJCQHwz2/0TPfO/f39ssYQ+aN5saJ96NAhWK1WKJVKtLW1Yfv27cjPz0dgYCCUSiUAICQkBFarFU1NTXj48CFevXoFvV4Pg8EgrnorFAqMjIxIxp5uT/+oEM21zZs3w2azITo6Gm1tbVCr1bh27RoAzPj2z8rKSixZsgTp6emSfuY3+aPIyEjYbDZotVq0t7fD4/Hg7t27AP7J74aGBuTl5eH+/ftoampCa2srCgoKkJ6eLu7qmCm/f//+jfHxceY3/WuUSiVevHiB7OxsdHZ2wul0oqGhAQEBAWJ+/0mMQqHAr1+/fMYfGRlhftOs6+7uRnJyMoxGI06fPi32KxQKAJjx3mI6L+WKIfJH82JFGwDi4+MRHx8vto1GIzZs2IDAwKlnDYIgQKlUYs2aNWLMgQMHUFZWhk+fPmHlypUQBAG9vb2ScR0OBxYsWIDw8PC5mQjRDKKionDhwgWxXVhYCJVKBUEQJHEejwfV1dXIysry+TySIAh4/fq1pM/hcIjjE/1bwsPDUVBQILbr6+sBALGxsQCA1tZWREdHIy4uTozR6/UwGo1ob2/H6tWrIQgC7ty5g4mJCXHVj/lN/iA0NBR5eXli22azYXh4WMzvP4kRBAEejwdOpxORkZEApj5X2tfXx/ymWWWz2aDRaLB//36UlZVJrk3fg/T29kp2zDkcDmg0GlljiPzRvFjRHhgYwOTkpNju6enBvXv3cPz4cbEvLS0NDocDY2NjYp/dbkdQUBAiIiIAACkpKWhsbBSfqHm9XtTV1SElJWWOZkLka2RkBG63W2wPDw+jvLwcJpPJ5xvYjx49Ql9fH44dO+YzTkpKCl6+fCk5111bW4vY2Fjxxo1ornm9XsnWwImJCRQXF2PPnj1YtWoVAGDFihVwOp0YGhoS4+x2OwBg+fLlAIDk5GS4XC7xWAUwld9hYWHYunXrXEyFaEY/fvyQtIuKihAVFQWtVvvHMQkJCVCpVJIjQQ8ePIDb7UZSUtIs/vU0n9ntdmg0Guzbtw/l5eUICAiQXI+KisLatWslednd3Y3u7m6kpqbKGkPkj/76Fe3pl5cBUwVHV1cXLBYLli5dKj7levPmDcxmM/R6PUZHR1FSUoLU1FTk5OSI42RmZqKqqgpJSUnIyMjAly9fUFRUBLPZLG5Zyc3NRXV1NXQ6HQwGA1paWvD+/XvU1NTM/cRp3qirq8PExAScTidCQkJgsVigVCrFrd/9/f04ePAgDh8+jODgYNy8eRNqtRqXLl3yGauyshI7duyQ7NyYlp6eDq1Wi+TkZOTm5sJut6O2thZNTU2zPkeavx4/fozBwUG8e/cOP3/+hMViATC1oygoKAherxdarRZ6vR4RERG4ffs2Pn/+jKdPn4pjZGZmori4GLt27YLJZMLY2BhKSkqwc+dOJCQkAADWrVuHEydOICMjA/n5+XC5XLhy5QquX7/OrYc0a6xWKxwOBzo6OjA5OSnm9+7du8V3YBgMBmzatAkxMTFobGzEkydP0NzcLHlQ+v9iVCoVCgsLkZ+fj8HBQYSGhuLy5cs4deoUV7RpVnz9+hUajQYLFy6ERqNBbW2teC0xMVFcpCouLkZaWhqCg4MhCIJ4D67T6cR4uWKI/E2Ad/oA8l/q+/fvOHnypE//+vXrcf78ebH9/Plz1NTUwOPxICkpyed8KgC43W5UVFSgs7MTixcvxt69e5GYmCiJcblcKC0txdu3b7Fs2TLk5OSIqypEs8FoNEreuAwAYWFhuHHjhtj+8OEDKioqMDAwgG3btuHIkSM+W8PHx8eRnZ0Ng8HwP/8xjY+Po6KiAh0dHVi0aBGysrKwceNG+SdF9F9nzpxBT0+PT39VVRVCQ0MBAN++fUNpaSkcDgfi4uJw9OhRn5dPDg0NoaqqCjabDcHBwYiPj4fBYJAUK16vFxaLBS0tLVAoFNDr9T6/8URyunr1Kp49e+bTf/HiRXEL7OjoKMrKytDV1YWYmBiYTCao1WpJ/J/EAEBzczPq6+vh8Xig0+mg1+tnZ2I07338+BFnz56d8dq5c+ckL6Ps7OzErVu34HK5sGXLFphMJp97FLliiPzJX19oExEREREREfmTeXFGm4iIiIiIiGiusNAmIiIiIiIikhELbSIiIiIiIiIZsdAmIiIiIiIikhELbSIiIiIiIiIZsdAmIiIiIiIikhELbSIiIiIiIiIZsdAmIiIiIiIikhELbSIiIiIiIiIZsdAmIiIiIiIikhELbSIiIiIiIiIZsdAmIiIiIiIiktF/AMi1qTt8XY7FAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax = cpi.plot(ax=ax)\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "P-value of the unit-root test, resoundingly rejects the null of a unit-root." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "execution": { "iopub.execute_input": "2026-07-25T23:41:27.291869Z", "iopub.status.busy": "2026-07-25T23:41:27.291567Z", "iopub.status.idle": "2026-07-25T23:41:27.308198Z", "shell.execute_reply": "2026-07-25T23:41:27.306770Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9904328188337422\n" ] } ], "source": [ "print(sm.tsa.adfuller(cpi)[1])" ] } ], "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }