{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Sunspots data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:46.924930Z", "iopub.status.busy": "2022-11-02T17:10:46.924439Z", "iopub.status.idle": "2022-11-02T17:10:47.405809Z", "shell.execute_reply": "2022-11-02T17:10:47.405049Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:47.409776Z", "iopub.status.busy": "2022-11-02T17:10:47.409418Z", "iopub.status.idle": "2022-11-02T17:10:48.150705Z", "shell.execute_reply": "2022-11-02T17:10:48.149547Z" } }, "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": "2022-11-02T17:10:48.155080Z", "iopub.status.busy": "2022-11-02T17:10:48.154704Z", "iopub.status.idle": "2022-11-02T17:10:48.158302Z", "shell.execute_reply": "2022-11-02T17:10:48.157531Z" } }, "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": "2022-11-02T17:10:48.161641Z", "iopub.status.busy": "2022-11-02T17:10:48.161411Z", "iopub.status.idle": "2022-11-02T17:10:48.165105Z", "shell.execute_reply": "2022-11-02T17:10:48.164400Z" } }, "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": "2022-11-02T17:10:48.168679Z", "iopub.status.busy": "2022-11-02T17:10:48.168448Z", "iopub.status.idle": "2022-11-02T17:10:48.175360Z", "shell.execute_reply": "2022-11-02T17:10:48.174485Z" } }, "outputs": [], "source": [ "dta = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:48.178274Z", "iopub.status.busy": "2022-11-02T17:10:48.178041Z", "iopub.status.idle": "2022-11-02T17:10:48.187763Z", "shell.execute_reply": "2022-11-02T17:10:48.187066Z" } }, "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": "2022-11-02T17:10:48.190681Z", "iopub.status.busy": "2022-11-02T17:10:48.190451Z", "iopub.status.idle": "2022-11-02T17:10:48.455320Z", "shell.execute_reply": "2022-11-02T17:10:48.454637Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dta.plot(figsize=(12, 8))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:48.459957Z", "iopub.status.busy": "2022-11-02T17:10:48.459299Z", "iopub.status.idle": "2022-11-02T17:10:48.835668Z", "shell.execute_reply": "2022-11-02T17:10:48.834778Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/graphics/tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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\n", "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": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:48.839109Z", "iopub.status.busy": "2022-11-02T17:10:48.838843Z", "iopub.status.idle": "2022-11-02T17:10:48.912943Z", "shell.execute_reply": "2022-11-02T17:10:48.912195Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.746198\n", "ar.L1 1.390633\n", "ar.L2 -0.688573\n", "sigma2 274.727182\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": "2022-11-02T17:10:48.916246Z", "iopub.status.busy": "2022-11-02T17:10:48.915775Z", "iopub.status.idle": "2022-11-02T17:10:48.996780Z", "shell.execute_reply": "2022-11-02T17:10:48.996167Z" } }, "outputs": [], "source": [ "arma_mod30 = ARIMA(dta, order=(3, 0, 0)).fit()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.000163Z", "iopub.status.busy": "2022-11-02T17:10:48.999780Z", "iopub.status.idle": "2022-11-02T17:10:49.004758Z", "shell.execute_reply": "2022-11-02T17:10:49.003021Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2622.637093301418 2637.570458409009 2628.607481146664\n" ] } ], "source": [ "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.007755Z", "iopub.status.busy": "2022-11-02T17:10:49.007445Z", "iopub.status.idle": "2022-11-02T17:10:49.011758Z", "shell.execute_reply": "2022-11-02T17:10:49.011082Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.751911\n", "ar.L1 1.300818\n", "ar.L2 -0.508102\n", "ar.L3 -0.129644\n", "sigma2 270.101139\n", "dtype: float64\n" ] } ], "source": [ "print(arma_mod30.params)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.015625Z", "iopub.status.busy": "2022-11-02T17:10:49.015321Z", "iopub.status.idle": "2022-11-02T17:10:49.019028Z", "shell.execute_reply": "2022-11-02T17:10:49.018343Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2619.4036292456526 2638.0703356301415 2626.86661405221\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": "2022-11-02T17:10:49.022874Z", "iopub.status.busy": "2022-11-02T17:10:49.022571Z", "iopub.status.idle": "2022-11-02T17:10:49.027501Z", "shell.execute_reply": "2022-11-02T17:10:49.026811Z" } }, "outputs": [ { "data": { "text/plain": [ "1.9564953612078884" ] }, "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": "2022-11-02T17:10:49.031403Z", "iopub.status.busy": "2022-11-02T17:10:49.031099Z", "iopub.status.idle": "2022-11-02T17:10:49.259411Z", "shell.execute_reply": "2022-11-02T17:10:49.258766Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2022-11-02T17:10:49.263077Z", "iopub.status.busy": "2022-11-02T17:10:49.262617Z", "iopub.status.idle": "2022-11-02T17:10:49.266618Z", "shell.execute_reply": "2022-11-02T17:10:49.265732Z" } }, "outputs": [], "source": [ "resid = arma_mod30.resid" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.269673Z", "iopub.status.busy": "2022-11-02T17:10:49.269442Z", "iopub.status.idle": "2022-11-02T17:10:49.274844Z", "shell.execute_reply": "2022-11-02T17:10:49.274163Z" } }, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=49.84393223006768, pvalue=1.501507957159393e-11)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.normaltest(resid)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.278303Z", "iopub.status.busy": "2022-11-02T17:10:49.278070Z", "iopub.status.idle": "2022-11-02T17:10:49.443226Z", "shell.execute_reply": "2022-11-02T17:10:49.442163Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2022-11-02T17:10:49.447324Z", "iopub.status.busy": "2022-11-02T17:10:49.446628Z", "iopub.status.idle": "2022-11-02T17:10:49.817277Z", "shell.execute_reply": "2022-11-02T17:10:49.816500Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/graphics/tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:10:49.820905Z", "iopub.status.busy": "2022-11-02T17:10:49.820632Z", "iopub.status.idle": "2022-11-02T17:10:49.826469Z", "shell.execute_reply": "2022-11-02T17:10:49.825825Z" } }, "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": "2022-11-02T17:10:49.836020Z", "iopub.status.busy": "2022-11-02T17:10:49.834633Z", "iopub.status.idle": "2022-11-02T17:10:49.845719Z", "shell.execute_reply": "2022-11-02T17:10:49.845084Z" } }, "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": "2022-11-02T17:10:49.849372Z", "iopub.status.busy": "2022-11-02T17:10:49.848940Z", "iopub.status.idle": "2022-11-02T17:10:49.867147Z", "shell.execute_reply": "2022-11-02T17:10:49.866488Z" } }, "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 51.424877\n", "2011-12-31 54.401403\n", "2012-12-31 55.323515\n", "Freq: A-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": "2022-11-02T17:10:49.870546Z", "iopub.status.busy": "2022-11-02T17:10:49.870094Z", "iopub.status.idle": "2022-11-02T17:10:49.874776Z", "shell.execute_reply": "2022-11-02T17:10:49.874084Z" } }, "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": "2022-11-02T17:10:49.878228Z", "iopub.status.busy": "2022-11-02T17:10:49.877671Z", "iopub.status.idle": "2022-11-02T17:10:49.884039Z", "shell.execute_reply": "2022-11-02T17:10:49.883367Z" } }, "outputs": [ { "data": { "text/plain": [ "5.634833001498669" ] }, "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": "2022-11-02T17:10:49.887172Z", "iopub.status.busy": "2022-11-02T17:10:49.886719Z", "iopub.status.idle": "2022-11-02T17:10:49.890076Z", "shell.execute_reply": "2022-11-02T17:10:49.889407Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.arima_process import ArmaProcess" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.893015Z", "iopub.status.busy": "2022-11-02T17:10:49.892566Z", "iopub.status.idle": "2022-11-02T17:10:49.896433Z", "shell.execute_reply": "2022-11-02T17:10:49.895730Z" } }, "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": "2022-11-02T17:10:49.899769Z", "iopub.status.busy": "2022-11-02T17:10:49.899148Z", "iopub.status.idle": "2022-11-02T17:10:49.902728Z", "shell.execute_reply": "2022-11-02T17:10:49.902039Z" } }, "outputs": [], "source": [ "arma_t = ArmaProcess(arparams, maparams)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:10:49.905736Z", "iopub.status.busy": "2022-11-02T17:10:49.905285Z", "iopub.status.idle": "2022-11-02T17:10:49.909802Z", "shell.execute_reply": "2022-11-02T17:10:49.909107Z" } }, "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": "2022-11-02T17:10:49.913534Z", "iopub.status.busy": "2022-11-02T17:10:49.912911Z", "iopub.status.idle": "2022-11-02T17:10:49.917703Z", "shell.execute_reply": "2022-11-02T17:10:49.917012Z" } }, "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": "2022-11-02T17:10:49.920856Z", "iopub.status.busy": "2022-11-02T17:10:49.920484Z", "iopub.status.idle": "2022-11-02T17:10:50.067380Z", "shell.execute_reply": "2022-11-02T17:10:50.066559Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:10:50.072428Z", "iopub.status.busy": "2022-11-02T17:10:50.071058Z", "iopub.status.idle": "2022-11-02T17:10:50.079632Z", "shell.execute_reply": "2022-11-02T17:10:50.078786Z" } }, "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": "2022-11-02T17:10:50.083198Z", "iopub.status.busy": "2022-11-02T17:10:50.082838Z", "iopub.status.idle": "2022-11-02T17:10:50.088633Z", "shell.execute_reply": "2022-11-02T17:10:50.087325Z" } }, "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": "2022-11-02T17:10:50.091604Z", "iopub.status.busy": "2022-11-02T17:10:50.091375Z", "iopub.status.idle": "2022-11-02T17:10:50.599245Z", "shell.execute_reply": "2022-11-02T17:10:50.598586Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/graphics/tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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\n", "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": "2022-11-02T17:10:50.603883Z", "iopub.status.busy": "2022-11-02T17:10:50.602705Z", "iopub.status.idle": "2022-11-02T17:10:50.780074Z", "shell.execute_reply": "2022-11-02T17:10:50.777512Z" } }, "outputs": [ { "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" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n", " warn('Non-stationary starting autoregressive parameters'\n", "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n", " warn('Non-invertible starting MA parameters found.'\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": "2022-11-02T17:10:50.783486Z", "iopub.status.busy": "2022-11-02T17:10:50.783123Z", "iopub.status.idle": "2022-11-02T17:10:51.245842Z", "shell.execute_reply": "2022-11-02T17:10:51.244495Z" } }, "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": "2022-11-02T17:10:51.249468Z", "iopub.status.busy": "2022-11-02T17:10:51.249094Z", "iopub.status.idle": "2022-11-02T17:10:51.262689Z", "shell.execute_reply": "2022-11-02T17:10:51.261974Z" } }, "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": "2022-11-02T17:10:51.266450Z", "iopub.status.busy": "2022-11-02T17:10:51.266051Z", "iopub.status.idle": "2022-11-02T17:10:51.467160Z", "shell.execute_reply": "2022-11-02T17:10:51.466359Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dLEm649xO6hrfdCY+Ox6KNgAAAACgwRiGofsXpNVcl33r8A5mR2pwFG0AAAAAQIP59OcsLdmSqwA/i566tLcC/Jp+DW367xAAAAAAYIpfnzJ++7md1K1V0z5l/CiKNgAAAADA48oqXfr9W+tVUFo9y/htzeCU8aMo2gAAAAAAj6qscuvWt9Zp7f58RQT567kr+jSLU8aPaj7vFAAAAADgMe+vTdctb67V9zsPyTCMmuUut6G73k/Vsh2HFBzgpznXD1TnuHATkzY+f7MDAAAAAAB8y/Idh3TfhxtlGNKXm3M1KDlKd5/fWYOSo/TgJ2latDFbAX4WvXptf/VvG2V23EZH0QYAAAAA1FlGfqnueHeDDEPqlWjXtpwird6bpyv+tVIdY8O062CxLBbpH1f01TmdY8yOawqKNgAAAACgTsqdLv3+7eoJznq2tuv9W4Yqv7RSL367S++vTdeug8WSpL9d3FPjerUyOa15KNoAAAAAgDp5ZOFmbcwoVGRIgF65pp+CAvzUyh6sxy/uqVvP6aA3VuxTt1YRuqRfotlRTVWvydBmzZqlgQMHKjw8XLGxsZowYYK2b99ea5vy8nJNmzZN0dHRCgsL08SJE5Wbm1trmwMHDmjcuHEKCQlRbGys7rnnHlVVVZ3+uwEAAAAANIj316brndXpslik56/sq8QWIbXWJ0WF6P5x3Zt9yZbqWbSXLVumadOmaeXKlVqyZImcTqdGjRqlkpKSmm1mzJihhQsXav78+Vq2bJmysrJ0ySWX1Kx3uVwaN26cKisr9dNPP+n111/X3Llz9dBDD3nuXQEAAAAAPOanXYf14MdpkqS7RnbW2c302uu6shi/noe9ng4dOqTY2FgtW7ZMZ599tgoLCxUTE6N58+bp0ksvlSRt27ZN3bp104oVKzRkyBB98cUXuvDCC5WVlaW4uDhJ0quvvqr77rtPhw4dUmBg4G/+XIfDIbvdrsLCQkVERJxqfAAAAADAb3h71X795ZPNqnIbGtktVv+6doCsVovZsRpdfXroad1Hu7CwUJIUFVU9Xfu6devkdDo1cuTImm26du2qNm3aaMWKFZKkFStWqGfPnjUlW5JGjx4th8OhzZs3H/fnVFRUyOFw1HoAAAAAABpOlcuthz/drPsXpKnKbWhCnwS9eHW/Zlmy6+uUi7bb7dadd96pM844QykpKZKknJwcBQYGKjIysta2cXFxysnJqdnm1yX76Pqj645n1qxZstvtNY+kpKRTjQ0AAAAA+A2FZU5dP3eN5v60T5J0z+gueu6KPgoK8DM3mI845VnHp02bprS0NP3www+ezHNcM2fO1F133VXz3OFwULYBAAAAwAPySyr1wboM7T1SovS8UmXklykzv0yVLreCA/z03BV9NCYl3uyYPuWUivb06dO1aNEiLV++XImJ/51RLj4+XpWVlSooKKg1qp2bm6v4+PiabVavXl1rf0dnJT+6zf+y2Wyy2WynEhUAAAAAcBJ//WyrPlyfcczypKhgvTKpv1Ja201I5dvqVbQNw9Dtt9+uBQsWaOnSpUpOTq61vn///goICNA333yjiRMnSpK2b9+uAwcOaOjQoZKkoUOH6vHHH9fBgwcVGxsrSVqyZIkiIiLUvXt3T7wnAAAAAEAdlFW6tDgtW5I0ZVg7dW8VocSoYCW1CFFCZLD8uB77lNSraE+bNk3z5s3TJ598ovDw8Jprqu12u4KDg2W32zV16lTdddddioqKUkREhG6//XYNHTpUQ4YMkSSNGjVK3bt317XXXqsnn3xSOTk5euCBBzRt2jRGrQEAAACgEX277aBKKl1qHRmsv4zvLouFYu0J9Srar7zyiiRp+PDhtZbPmTNHU6ZMkSQ999xzslqtmjhxoioqKjR69Gi9/PLLNdv6+flp0aJFuu222zR06FCFhoZq8uTJevTRR0/vnQAAAAAA6mXhz1mSpPG9EyjZHnRa99E2C/fRBgAAAIDT4yh3asBfv1ZllVuf33GWuifQrU6m0e6jDQAAAADwTV9tzlVllVsdY8PUrVW42XGaFIo2AAAAADRDNaeN9+K0cU+jaAMAAABAM3OkuEI/7DosSfpdnwST0zQ9FG0AAAAAaGY+T8uRy22oZ2u7kluGmh2nyaFoAwAAAEAzszC1+rTx3/VmNLshULQBAAAAoBnJLizT6n15kqRxvVqZnKZpomgDAAAAQDOy6OdsSdKgdlFKiAw2OU3TRNEGAAAAgGbk06OzjTMJWoPxNzsAAAAAAKDhFZY59cI3O7Ups1B+VosuSIk3O1KTRdEGAAAAgCbM5Tb03pp0PfPVdh0pqZQkTR7aTtFhNpOTNV0UbQAAAABoojZmFOi+Dzdpa7ZDktQhJlQPXthdw7vEmpysaaNoAwAAAEATdOBIqa75zyo5yqsUEeSvGed31jVD2irAj6m6GhpFGwAAAACamHKnS7e+tU6O8ir1SYrU7CkDFRUaaHasZoP/lAEAAAAATYhhGHrg4zRtyXYoOjRQr1zTj5LdyCjaAAAAANCEvLM6XR+sy5DVIr1wVV+1snOv7MZG0QYAAACAJuLn9AI9/OlmSdK9Y7pqWMeWJidqnijaAAAAANAEZOSX6ra31qnS5dboHnG65ez2ZkdqtpgMDQAAAAB8mMtt6M0V+/Tkl9tVWulS+5aheuqy3rJYLGZHa7Yo2gAAAADgo3bkFum+Dzdqw4ECSdLAdi307OV9FBEUYG6wZo6iDQAAAAA+xjAMvbx0t/7x9Q45XYbCbP7609iuunpQG1mtjGSbjaINAAAAAD7mhW936dklOyRJI7vF6a8TUhRvDzI5FY6iaAMAAACAD3lz5f6akv3AuG6aemYy12N7GYo2AAAAAPiIRRuz9NAnaZKkO87tqBvPYmZxb8TtvQAAAADAB/yw87BmvJcqw5CuHtxGM87vbHYknABFGwAAAAC83M/pBbr5zbVyugxd0DNej12UwuniXoyiDQAAAABebNfBYk2Zs1qllS6d2bGlnruij/yYWdyrUbQBAAAAwEtlFZTputdWKb/Uqd6Jdr16bX/Z/P3MjoXfQNEGAAAAAC+UX1Kp62avVlZhudrHhGr2lIEKszGftS+gaAMAAACAlympqNL1c9do18FixUcE6c2pgxUdZjM7FuqIog0AAAAAXqS4okq3vrVOqekFigwJ0JtTB6l1ZLDZsVAPnHcAAAAAAF5i3f58zXgvVQfyShUc4KfZUwaqU1y42bFQTxRtAAAAADBZlcutF77dpRe/2yWX21DryGD988o+6temhdnRcAoo2gAAAABgogNHSvWH9zZow4ECSdKEPgl65KIU2YMDzA2GU0bRBgAAAACTrD+Qr6lz1yi/1KnwIH/9dUKKLurT2uxYOE0UbQAAAAAwwTdbczVt3nqVO93qnWjXy9f0Z9KzJoKiDQAAAACN7P016Zq5YJNcbkMjusTopUn9FBJIPWsq+F8SAAAAABqJYRh68dtdembJDknSpf0TNeuSngrw487LTQlFGwAAAAAaQWlllf780SZ9nJolSZo2ooP+OKqLLBaLycngaRRtAAAAAGhguw4W67a31mnnwWL5WS36y/juum5oO7NjoYFQtAEAAACgAS3amKX7PtiokkqXYsNtevHqfhqUHGV2LDQgijYAAAAAeJjLbWjNvjx9sC5DH6zLkCQNaR+l56/qq9jwIJPToaFRtAEAAADAA5wut37YdVhfpuVoyZZcHSmprFl32/AOuvv8zvJn0rNmgaINAAAAAKdh18Eivb82Qx+tz9Dh4v+Wa3twgEZ2i9NlAxI1pH20iQnR2CjaAAAAAFBPhmHoo/WZenvVfq0/UFCzvGVYoMakxGtMj1Ya3D6K23Y1UxRtAAAAAKgHp8utP324SR+ur7722s9q0Ygusbp8QKJGdI2lXIOiDQAAAAB1VVpZpd+/vV5Ltx+Sn9Wi28/tqKsHtVFsBBOc4b8o2gAAAABQB0eKK3TD3DX6OaNQQQFWvXR1P53XLc7sWPBCFG0AAAAA+A3peaW6bvZq7T1cohYhAXptykD1a9PC7FjwUhRtAAAAADiJZTsO6c53Nyi/1KnWkcF6Y+ogdYgJMzsWvBhFGwAAAACOw+029Py3O/XPb3bKMKSere36z+QBiuN6bPwGijYAAAAA/I+8kkrd+V6qlu84JEm6enAbPXRhdwUF+JmcDL6Aog0AAAAAv6iscmvRxiw9/eV2ZRWWKyjAqscn9NTE/olmR4MPoWgDAAAAaPYKS52at/qA5v60V7mOCklScstQvXJNP3WNjzA5HXwNRRsAAABAs+VyG3p2yXbN+XGfSitdkqTYcJsmD2un64a2VXhQgMkJ4Yso2gAAAACaJbfb0J8/2qT31qZLkrrGh+vGs9prfO9WsvlzLTZOHUUbAAAAQLNjGIYe+jRN761Nl9UiPXlpb03s11oWi8XsaGgCKNoAAAAAmhXDMPTooi16a+UBWSzS05f11iX9mOwMnmM1OwAAAAAANBbDMPTEF9s058d9kqS/X9KLkg2PY0QbAAAAQJNgGIYyC8qUnlem9PxSZeSXKSO/VPkllSosc/7yqNLh4upZxf86IUWXD0wyOTWaIoo2AAAAAJ+Xml6gmR9t0tZsx29u62e16IFx3XTNkLaNkAzNEUUbAAAAgM8qrazSM1/t0Jwf98ptSAF+FrWODFZSVIgSW4QosUWwYsJtiggKUESwv+zBAYqPCFJ0mM3s6GjCKNoAAAAAfNKyHYd0/4JNysgvkyRd3Le1HhjXjRIN01G0AQAAAPiUtMxCPbtkh77ddlCS1DoyWI9fnKLhXWJNTgZUq/es48uXL9f48eOVkJAgi8Wijz/+uNZ6i8Vy3MdTTz1Vs027du2OWf/EE0+c9psBAAAA0HRtzynSrW+u04Uv/KBvtx2U1SJNGdZOX804m5INr1LvEe2SkhL17t1bN9xwgy655JJj1mdnZ9d6/sUXX2jq1KmaOHFireWPPvqobrrppprn4eHh9Y0CAAAAoBmorHLrgY83af66DBmGZLFIv+udoD+c10ntY8LMjgcco95Fe+zYsRo7duwJ18fHx9d6/sknn2jEiBFq3759reXh4eHHbAsAAAAAv+Z2G7rng5/1SWqWJGlsSrxmnN9ZneMYqIP3qvep4/WRm5urzz77TFOnTj1m3RNPPKHo6Gj17dtXTz31lKqqqk64n4qKCjkcjloPAAAAAE2bYRh6dNEWfZKaJX+rRa9NHqBXrulPyYbXa9DJ0F5//XWFh4cfc4r5HXfcoX79+ikqKko//fSTZs6cqezsbD377LPH3c+sWbP0yCOPNGRUAAAAAF7mpe92ae5P+yRJT1/WW+d1izM3EFBHFsMwjFN+scWiBQsWaMKECcdd37VrV51//vl64YUXTrqf2bNn65ZbblFxcbFstmOn4q+oqFBFRUXNc4fDoaSkJBUWFioiIuJU4wMAAADwUm+v2q/7F6RJkv4yvruuPyPZ5ERo7hwOh+x2e516aIONaH///ffavn273nvvvd/cdvDgwaqqqtK+ffvUpUuXY9bbbLbjFnAAAAAATc+H6zL0wMfVJfv2cztSsuFzGqxov/baa+rfv7969+79m9umpqbKarUqNpYp+QEAAIDmqqLKpcc/26o3VuyXJF09uI3uOr+zyamA+qt30S4uLtauXbtqnu/du1epqamKiopSmzZtJFUPqc+fP1/PPPPMMa9fsWKFVq1apREjRig8PFwrVqzQjBkzdM0116hFixan8VYAAAAA+KrMgjL9/u31+jm9QFL1SPadIzvLYrGYGww4BfUu2mvXrtWIESNqnt91112SpMmTJ2vu3LmSpHfffVeGYeiqq6465vU2m03vvvuuHn74YVVUVCg5OVkzZsyo2Q8AAACA5mXZjkO6890Nyi91yh4coH9c0UcjunK2K3zXaU2GZpb6XIQOAAAAwHt9vilb0+atl2FIPVvb9fKkfkqKCjE7FnAMr5gMDQAAAABOZt3+PN35XqoMQ5rYL1GPX5yioAA/s2MBp42iDQAAAKDR7TtcopveWKfKKrdGdovVk5f2kp+V67HRNFjNDgAAAACgeckvqdT1c9cor6RSPVvb9fxVfSnZaFIo2gAAAAAaTbnTpZvfXKu9h0vUOjJYr00ZoJBATrRF00LRBgAAANAoXG5Dd8//WWv25Ss8yF9zrh+o2PAgs2MBHkfRBgAAANDg3G5D936wUZ9tzJa/1aJXr+mvznHhZscCGgRFGwAAAECDcrsN/XnBJn24PkN+VotevLqvzujY0uxYQIOhaAMAAABoMIZh6C+fbta7a9JltUjPXdFHY1JamR0LaFAUbQAAAAANwjAM/fWzrXpz5X5ZLNLTl/XW73onmB0LaHBM7wcAAADA48oqXXrwkzR9sC5DkvTEJT11Sb9Ek1MBjYOiDQAAAMCj9h0u0a1vrdO2nCJZLdKjF6XoioFtzI4FNBqKNgAAAACPWZyWo3vm/6yiiipFhwbqhav6ahgTn6GZoWgDAAAAOG0ut6Env9ym/1u2R5I0oG0LvXh1P8XbuU82mh+KNgAAAIDTUu506e73f9Znm7IlSTeemaz7xnZVgB9zL6N5omgDAAAAOGWOcqdufmOtVu7JU4CfRU9f1lsX9WltdizAVBRtAAAAAKck11GuybNXa1tOkcJs/vrXtf25HhsQRRsAAADAKUjLLNQtb65TZkGZYsJtmnv9QPVIsJsdC/AKFG0AAAAAdbbrYJGe+3qnPttYfT12cstQvXHDICVFhZicDPAeFG0AAAAAv2n/kRL98+ud+jg1U26jetmFvVrpkd/1UHSYzdxwgJehaAMAAAA4IcMwNPvHfZr1+VZV/dKwR3WP04zzO6tbqwiT0wHeiaINAAAA4LiKyp3604ebam7bdVanlrpndBf1Sow0Nxjg5SjaAAAAAI6xPadIt721TnsOlyjAz6L7L+imycPayWKxmB0N8HoUbQAAAAA1qlxuzV+XoUcXblGZ06VW9iC9NKmf+rVpYXY0wGdQtAEAAADI7Ta0cGOW/vn1Tu05XCKp+lTxf1zRh8nOgHqiaAMAAADNmNtt6KstOXp2yQ7tyC2WJLUICdC0ER11/RnJ8rNyqjhQXxRtAAAAoBkqd7q0YEOm/vP9Hu0+VD2CHRHkr5vPbq8pZyQrzEZVAE4V/+8BAAAAmpEjxRV6c+V+vbliv46UVEqSwm3+uv6Mdpp6VnvZgwNMTgj4Poo2AAAA0Ay43YbeWrVff/9im0oqXZKk1pHBuv6MdrpiYJLCgyjYgKdQtAEAAIAmbmduke77cKPWHyiQJKW0jtAtZ3fQ2JR4+ftZzQ0HNEEUbQAAAKAJMgxDR0oq9dbK/Xrpu11yugyFBvrpT2O7atLgtrIyyRnQYCjaAAAAgI+rcrm1el+evtt2UHsOlSg9v1TpeWUqc7pqtjmva6wem5CihMhgE5MCzQNFGwAAAPBBFVUu/bjrsBan5WjJllzllzqP2cZikdpFh+qu8zvrwl6tZLEwig00Boo2AAAA4GPW7svTjPdTlZ5XVrOsRUiARnaLU582kUpqEaKkqBAlRAbJ5u9nYlKgeaJoAwAAAD7C6XLr+W926qXvdsltSC3DAnVBz1Ya0yNeg5KjmNgM8BIUbQAAAMAH7D1cojvfS9XP6QWSpEv6ttbDF/VQBLflArwORRsAAADwUpVVbq3Yc0SL03L08YZMlTldigjy1+MX99T43glmxwNwAhRtAAAAwIuUVbq0fOchLU7L0ddbc1VUXlWzbkj7KD17eR9mDge8HEUbAAAAMJmj3Knvth3U4rQcLd1+qNZtuVqG2TSqR5zG9IjXmR1bcv9rwAdQtAEAAACTVFS59MQX2/T2ygOqdLlrlreODNaYlHiNSYlXvzYt5Ee5BnwKRRsAAAAwQWZBmX7/9vqayc06xoZpTI/qct0jIYJ7XgM+jKINAAAANLJlOw7pznc3KL/UKXtwgJ69vLfO6xZndiwAHkLRBgAAABqJ223o+W936p/f7JRhSD1b2/XypH5KigoxOxoAD6JoAwAAAI0gr6RSd76XquU7DkmSrh7cRg9d2F1BAX4mJwPgaRRtAAAAoIGlphfo92+tU1ZhuYICrPrbxT11Sb9Es2MBaCAUbQAAAKCBGIahN1fu12OLtsjpMpTcMlSvXNNPXeMjzI4GoAFRtAEAAIAGkFVQpscWbdEXaTmSpLEp8Xry0l4KDwowORmAhkbRBgAAADyorNKlfy3fo1eW7VK50y0/q0Uzx3bV1DOTuWUX0ExQtAEAAAAPMAxDn23K1qzPtymzoEySNLBdC/1lfA+ltLabnA5AY6JoAwAAAKepssqt+z7cqAUbMiVJCfYg/XlcN43r2YpRbKAZomgDAAAAp6G4okq3vbVO3+88LD+rRbef21G3nN1BwYHctgtorijaAAAAwCk6VFSh6+euVlqmQyGBfnp5Uj8N7xJrdiwAJqNoAwAAAKdg3+ESXTd7tQ7klSo6NFCzpwxU76RIs2MB8AIUbQAAAKCeftp1WLe/s0FHSiqVFBWsN24YrOSWoWbHAuAlKNoAAABAHbndhl5ZtlvPfLVdbkNKaR2h2VMGKjY8yOxoALwIRRsAAACog8JSp+56P1XfbDsoSbqsf6Iem5CioAAmPQNQG0UbAAAA+A3rD+Trjnc2KCO/TDZ/qx67KEWXD0wyOxYAL0XRBgAAAE4g11GuJxdv14frMyRJbaJC9PKkfkppbTc5GQBvRtEGAAAA/ke506XXftirl77bpdJKlyRpYr9EPTS+u+zBASanA+DtKNoAAADAL1xuQ5+kZuq5r3coPa9MktQnKVIP/66H+nDrLgB1RNEGAABAs+d2G/o8LVv/+Hqndh0sliTFRdj0p7FddVHv1rJaLSYnBOBLKNoAAABo1pbvOKS/fb5V23KKJEn24ADdfHZ7TRnWTqE2vi4DqD8+OQAAANAsGYahl5fu1lNfbpckhdv8NfWsZN1wZrIigrgOG8Cpo2gDAACg2Sl3uvSnDzfq49QsSdKkwW10z+guigwJNDkZgKbAWt8XLF++XOPHj1dCQoIsFos+/vjjWuunTJkii8VS6zFmzJha2+Tl5WnSpEmKiIhQZGSkpk6dquLi4tN6IwAAAEBdHCwq15X/WqmPU7Pkb7Xo8YtT9PjFPSnZADym3kW7pKREvXv31ksvvXTCbcaMGaPs7OyaxzvvvFNr/aRJk7R582YtWbJEixYt0vLly3XzzTfXPz0AAABQDz+nF2jCiz8qNb1A9uAAvXHDIE0a3NbsWACamHqfOj527FiNHTv2pNvYbDbFx8cfd93WrVu1ePFirVmzRgMGDJAkvfDCC7rgggv09NNPKyEhob6RAAAAgJNyuQ29snSX/vH1TlW5DbWPCdVrkwcquWWo2dEANEH1HtGui6VLlyo2NlZdunTRbbfdpiNHjtSsW7FihSIjI2tKtiSNHDlSVqtVq1atOu7+Kioq5HA4aj0AAACAukjPK9UV/7dCT3+1Q1VuQ+N6ttKC359ByQbQYDw+GdqYMWN0ySWXKDk5Wbt379af//xnjR07VitWrJCfn59ycnIUGxtbO4S/v6KiopSTk3Pcfc6aNUuPPPKIp6MCAACgCTMMQx+tz9RfPt2s4ooqhdn89cjveuiSfq1lsXBfbAANx+NF+8orr6z5e8+ePdWrVy916NBBS5cu1XnnnXdK+5w5c6buuuuumucOh0NJSUmnnRUAAABNU2ZBmR5YsEnfbT8kSerftoX+cUUfJUWFmJwMQHPQ4Lf3at++vVq2bKldu3bpvPPOU3x8vA4ePFhrm6qqKuXl5Z3wum6bzSabzdbQUQEAAODjXG5Db67Ypye/3K7SSpcC/ay647yOuvWcDvL3a5CrJgHgGA1etDMyMnTkyBG1atVKkjR06FAVFBRo3bp16t+/vyTp22+/ldvt1uDBgxs6DgAAAJqoXQeLdM8HG7XhQIEkaUDbFnpiYk91jA03NxiAZqfeRbu4uFi7du2qeb53716lpqYqKipKUVFReuSRRzRx4kTFx8dr9+7duvfee9WxY0eNHj1aktStWzeNGTNGN910k1599VU5nU5Nnz5dV155JTOOAwAA4JR8vCFTMz/apDKnS2E2f903tqsmDWojq5VrsQE0PothGEZ9XrB06VKNGDHimOWTJ0/WK6+8ogkTJmjDhg0qKChQQkKCRo0apccee0xxcXE12+bl5Wn69OlauHChrFarJk6cqOeff15hYWF1yuBwOGS321VYWKiIiIj6xAcAAEATUlHl0l8XbdWbK/dLks7oGK2nLu2thMhgk5MBaGrq00PrXbS9AUUbAAAAGfmlmvb2ev2cUShJuv3cjrpzZGf5MYoNoAHUp4c2+DXaAAAAgCe53YY+WJehv32xVQWlTkWGBOi5K/poRJfY334xADQCijYAAAB8xtp9eXpk4RZtyqwexe6VaNfLk/opsQW37QLgPSjaAAAA8HpZBWV64ott+vTnLElSuM1fd5zXSZOHtVOgP7ftAuBdKNoAAADwWluyHPrP93u0cGOWnC5DFot05cAk3T2qi1qG2cyOBwDHRdEGAACAVzEMQ0t3HNJ/vt+jH3cdqVk+tH207h/XTSmt7SamA4DfRtEGAACA18h1lOuP83/W9zsPS5L8rBZd0LOVbjwzWb2TIs0NBwB1RNEGAACAV1iclqOZH21UfqlTQQFWXTO4raac0Y6JzgD4HIo2AAAATFVcUaVHF27W+2szJEkprSP0jyv6qmNsmMnJAODUULQBAABgirJKlz5Yl65Xl+1RZkGZLBbp1nM6aMbIzswkDsCnUbQBAADQqA4WleuNn/brrVX7VVDqlCQl2IP07BV9NKR9tMnpAOD0UbQBAADQKIorqvTMV9v19soDqnS5JUlJUcGaekayLhuQpFAbX00BNA18mgEAAKDBfbf9oB5YkKbMgjJJUr82kbrprPYa1SNeflaLyekAwLMo2gAAAGgwR4or9OiiLfokNUuSlNgiWI9f3FPndI4xORkANByKNgAAABrE55uydf+CTcovdcpqkW44I1l3jeqskEC+ggJo2viUAwAAgEcVV1Tp4U8364N11bfr6hofrr9P7KXeSZHmBgOARkLRBgAAgMes25+nGe/9rAN5pbJYpNvO6aA7uV0XgGaGog0AAIDT5nIbev6bnXrh251yG1LryGA9d0UfDUqOMjsaADQ6ijYAAABOy5HiCv3h3VT9sOuwJOnivq31yEU9FBEUYHIyADAHRRsAAACnbN3+PE17e4NyHOUKDvDT3y5J0cV9E82OBQCmomgDAACg3gzD0Jwf9+lvn29VldtQ+5hQvXpNf3WOCzc7GgCYjqINAACAeskrqdSfPtyor7bkSpLG9Wqlv0/spTAbXy0BQKJoAwAAoB6W7TikP87/WYeKKhTgZ9HMsd10/RntZLFYzI4GAF6Dog0AAIDfVO506YkvtmnuT/skSR1iQvXPK/sqpbXd3GAA4IUo2gAAADipLVkO3fneBu3ILZYkXTe0rWaO7abgQD+TkwGAd6JoAwAA4LjcbkOv/bBXT325XZUut1qG2fTUpb00omus2dEAwKtRtAEAAHCM7MIy3f3+z/pp9xFJ0shusXpiYi+1DLOZnAwAvB9FGwAAALV8tjFbf16wSYVlTgUH+OnBC7vrqkFJTHgGAHVE0QYAAIAkqajcqYc/3aIP12dIknol2vWPK/qofUyYyckAwLdQtAEAAKB1+/N053upSs8rk9Ui/X54R/1hZCcF+FnNjgYAPoeiDQAA0Iw5XW698M1OvfjdLrkNqXVksJ67oo8GJUeZHQ0AfBZFGwAAoJn6Ob1A9324UdtyiiRJl/RtrYcv6qGIoACTkwGAb6NoAwAANDOllVV69qsdmv3jXrkNqUVIgB69KEXjeyeYHQ0AmgSKNgAAQDPy/c5DmvnRJmXkl0mSLu7bWg+M66ZobtsFAB5D0QYAAGgGyp0uPfHFNs39aZ+k6muxH784RcO7xJobDACaIIo2AABAE7c5q1B3vpuqnQeLJUnXDW2r+8Z0VaiNr4IA0BD4dAUAAGiiqlxuzf5xr576crucLkMx4TY9dWkvRrEBoIFRtAEAAJoIt9vQtpwirdhzRCt2H9aqPXkqqqiSJJ3fPU5PXNKTa7EBoBFQtAEAAJqAtfvy9Id3U5VZUFZreYuQAN03pquuGJgki8ViUjoAaF4o2gAAAD7ug3UZ+vNHm1Tpcisk0E+DkqM0rEO0hrZvqe4JEfKzUrABoDFRtAEAAHyUy23oycXb9H/L90iSxqbE65nLeyskkK94AGAmPoUBAAB8UHFFle58d4O+3npQknT7uR01Y2RnWRm9BgDTUbQBAAB8jGEYuun1tVqx54gC/a166tJeuqhPa7NjAQB+QdEGAADwMUu25GrFniMKCrDqnZuGqG+bFmZHAgD8itXsAAAAAKi7KpdbT325XZJ0wxnJlGwA8EIUbQAAAB/y0fpM7TxYLHtwgG45p4PZcQAAx0HRBgAA8BHlTpee+3qHJGn6iI6yBweYnAgAcDwUbQAAAB/x+k/7lF1YrgR7kK4d2tbsOACAE6BoAwAA+IDCUqde+m6XJOmuUV0UFOBnciIAwIlQtAEAAHzAK8t2y1FepS5x4bq4L7fyAgBvRtEGAADwclkFZZrz415J0r1jusjPajE5EQDgZCjaAAAAXiy/pFI3zF2jiiq3BrZroXO7xpodCQDwGyjaAAAAXqqwzKlrZ6/StpwixYTb9OSlvWWxMJoNAN6Oog0AAOCFisqdum72aqVlOhQdGqh5Nw5WcstQs2MBAOqAog0AAOBlSiqqNGXOGv2cXqDIkAC9deNgdYoLNzsWAKCOKNoAAABepKjcqevnrtG6/fmKCPLXW1MHq1urCLNjAQDqwd/sAAAAAKh20FGuyXPWaGu2Q2E2f70xdbBSWtvNjgUAqCeKNgAAgBfYfahYk2evVkZ+mVqG2TT3+oGUbADwURRtAAAAk204kK8b5q5RfqlT7aJD9MYNg9UmOsTsWACAU0TRBgAAMNEPOw/rpjfWqszpUq9Eu2ZPGaiWYTazYwEATgNFGwAAwCSZBWWaNm+9ypwund05Rq9M6qdQG1/PAMDX8UkOAABgAqfLrTve2aDCMqd6trbr39f1l83fz+xYAAAP4PZeAAAAJnhuyQ6t25+vcJu/Xry6LyUbAJoQijYAAEAjW7bjkF5euluSNGtiT7WNDjU5EQDAk+pdtJcvX67x48crISFBFotFH3/8cc06p9Op++67Tz179lRoaKgSEhJ03XXXKSsrq9Y+2rVrJ4vFUuvxxBNPnPabAQAA8HYHHeW6671USdKkwW10Ya8EcwMBADyu3kW7pKREvXv31ksvvXTMutLSUq1fv14PPvig1q9fr48++kjbt2/X7373u2O2ffTRR5WdnV3zuP3220/tHQAAAPiI0soq/eHdVB0pqVTX+HA9eGF3syMBABpAvSdDGzt2rMaOHXvcdXa7XUuWLKm17MUXX9SgQYN04MABtWnTpmZ5eHi44uPj6/vjAQAAfI5hGPr05yzN+nybchzlCgn004tX91NQANdlA0BT1ODXaBcWFspisSgyMrLW8ieeeELR0dHq27evnnrqKVVVVZ1wHxUVFXI4HLUeAAAAvuDn9AJd+uoK/eHdVOU4ypXYIlj/unaAOsaGmR0NANBAGvT2XuXl5brvvvt01VVXKSIiomb5HXfcoX79+ikqKko//fSTZs6cqezsbD377LPH3c+sWbP0yCOPNGRUAAAAj6pyufXXz7Zq7k/7JEkhgX76/fAOuvGs9oxkA0ATZzEMwzjlF1ssWrBggSZMmHDMOqfTqYkTJyojI0NLly6tVbT/1+zZs3XLLbeouLhYNpvtmPUVFRWqqKioee5wOJSUlKTCwsKT7hcAAMAMZZUu3f7OBn29NVeSdEnf1rp3TFfF24NMTgYAOFUOh0N2u71OPbRBRrSdTqcuv/xy7d+/X99+++1vhhg8eLCqqqq0b98+denS5Zj1NpvtuAUcAADA2xSUVmrq62u1bn++Av2tev7KPhqT0srsWACARuTxon20ZO/cuVPfffedoqOjf/M1qampslqtio2N9XQcAACARpNZUKbJs1dr18FiRQT56z+TB2pQcpTZsQAAjazeRbu4uFi7du2qeb53716lpqYqKipKrVq10qWXXqr169dr0aJFcrlcysnJkSRFRUUpMDBQK1as0KpVqzRixAiFh4drxYoVmjFjhq655hq1aNHCc+8MAACgEe0+VKyr/71SuY4KtbIH6fUbBqlzXLjZsQAAJqj3NdpLly7ViBEjjlk+efJkPfzww0pOTj7u67777jsNHz5c69ev1+9//3tt27ZNFRUVSk5O1rXXXqu77rqrzqeH1+fceAAAgIZWWOrURS/9oH1HStUpNkyv3zBICZHBZscCAHhQfXroaU2GZhaKNgAA8BZVLreun7tG3+88rNaRwfpk+hlqGcbcMgDQ1NSnhzb4fbQBAACasr99vk3f7zys4AA//fu6AZRsAABFGwAA4FS9vyZds3/cK0l69vLe6p7AmXYAAIo2AADAKVm7L0/3f7xJknTnyE4a25NbeAEAqlG0AQAA6mnd/nzd/OY6OV2GxqbE645zO5kdCQDgRTx+H20AAICm7KP1GfrTh5tU6XKrZ2u7nr6st6xWi9mxAABehKINAABQB263oae+2q5Xlu6WJI3qHqfnruijUBtfpwAAtfGbAQAA4DeUVFRpxnup+mpLriRp2ogOuvv8LoxkAwCOi6INAABwEoeKKnT93NVKy3Qo0N+qv0/sqYv7JpodCwDgxSjaAAAAJ7DvcImum71aB/JKFR0aqH9dN0D927YwOxYAwMtRtAEAAI5jY0aBrp+zRkdKKpUUFaw3bhis5JahZscCAPgAijYAAMD/WLr9oH7/9nqVVrrUIyFCc64fqNjwILNjAQB8BEUbAADgV+atOqCHPklTldvQmR1b6tVr+yuMmcUBAPXAbw0AAABJVS63Hv98q+b8uE+SNKFPgp68tLcC/a3mBgMA+ByKNgAAaPYc5U5Nn7dBy3cckiTdfX5nTT+3oywWbt8FAKg/ijYAAGjW9h8p0dTX12rXwWIFBVj13OV9NLZnK7NjAQB8GEUbAAA0W99uy9Wd76bKUV6l+Igg/WfyAKW0tpsdCwDg4yjaAACg2XG5DT27ZLte+m63JKlPUqT+dW1/xUYwszgA4PRRtAEAQLNyuLhCd7yzQT/tPiJJmjKsnf58QTcmPQMAeAxFGwAANBvf7zykP87/WbmOCoUE+umJib30u94JZscCADQxFG0AANDk5ZdU6q+fbdWH6zMkSR1jw/TqNf3UMTbc5GQAgKaIog0AAJoswzC0cGO2Hvl0s46UVMpikSYPbad7RndRqI2vQQCAhsFvGAAA0CTll1Tqng9+1tdbD0qSOseF6YmJvdSvTQuTkwEAmjqKNgAAaHJS0ws07e31yiwoU6CfVdPP7ahbz+nAhGcAgEZB0QYAAE2GYRh6a+V+Pbpoi5wuQ8ktQ/XypH7q1irC7GgAgGaEog0AAJqE0soq/fmjTfo4NUuSNKZHvJ68rJciggJMTgYAaG4o2gAAwOdtzCjQne+mas/hEvlZLfrTmK668axkWSwWs6MBAJohijYAAPBZLrehV5ft1nNLdqjKbSg+IkjPX9VXg5KjzI4GAGjGKNoAAMAnpeeV6q73U7VmX74kaVzPVnr84hRFhgSanAwA0NxRtAEAgM/5dluu/vBOqooqqhQa6KdHLkrRxH6tOVUcAOAVKNoAAMBnGIah/3y/V3/7YqsMQ+rXJlL/uKKv2kSHmB0NAIAaFG0AAOATKqvcun/BJs1flyFJumpQkh75XQr3xgYAeB2KNgAA8HpHiit021vrtXpfnqwW6YFx3XX9Ge04VRwA4JUo2gAAwKttzCjQbW+tV2ZBmcJt/nrh6r4a3iXW7FgAAJwQRRsAAHglwzD01qoDemzhFlW63GobHaLXJg9Qx9hws6MBAHBSFG0AAOB1SiurdP+CNC3YkClJGtU9Tk9f3lsRQQEmJwMA4LdRtAEAgNcwDEMrdh/Rwws3a0dusfysFt03potuOqs912MDAHwGRRsAADSIrIIyPbtkhwYlR+my/oknLcpOl1uLNmbp38v3aku2Q5IUE27Ti1f11eD20Y0VGQAAj6BoAwAAj9uRW6TrXlutHEe5PliXoRW7j+jxi1MUElj7q0dpZZXeWrlfs3/YpxxHuSQpKMCqy/on6fbzOio2PMiM+AAAnBaKNgAA8KjVe/N04+tr5CivUoI9SLlFFVqwIVObswr1yjX91SEmTOVOl95edUCvLN2lw8WVkqSWYTZNGdZWkwa3VYvQQJPfBQAAp46iDQAAPGZxWo7ueHeDKqvc6tcmUq9NHqgduUWa/s4G7cgt1u9e+EHXDm2njzdk1oxgJ0UF6/YRnXRR3wTZ/P1MfgcAAJw+i2EYhtkh6svhcMhut6uwsFARERFmxwEAoNmrrHJrzo979ffF2+Q2pJHd4vTCVX0VHFhdnA8WlWv6vA1avTev5jUJ9iDdfl4nXdo/UQF+VrOiAwBQJ/XpoYxoAwCAU+Z0ufXR+gw9/80uZRaUSZKuGpSkxy5Kkf+vynNseJDm3ThY//h6p77emqurBrXRlYOSGMEGADRJjGgDAIB6q3K5tXBjlv7x9U7tP1IqSYoNt+kPIzvp6kFtuBUXAKDJYUQbAAA0iOKKKr2/Jl2zf9yrjPzqEezo0EDdNryDrhnSVkEBjFADAEDRBgAAvymnsFxzftqreasOqKi8SpLUIiRAN53dXpOHtlOoja8UAAAcxW9FAABwUovTsjXjvZ9V5nRJktq3DNXUs5I1sV8iI9gAABwHRRsAAByXYRh66btdevqrHZKkvm0iNW14R53bNVZWK9dgAwBwIhRtAABwjHKnS3/6cKM+Ts2SJE0Z1k4PjOtWayZxAABwfBRtAABQS2ZBmaa9vV6p6QXys1r0yO966Johbc2OBQCAz6BoAwAAVVa59c3WXL23Nl3LdxyS25DswQF6ZVI/DevY0ux4AAD4FIo2AADNWH5JpV5euksfrs9UXkllzfIh7aP0t4t7qn1MmInpAADwTRRtAACaIcMwtHBjth5duFmHi6sLdmy4TRP7J+ryAUlKbhlqckIAAHwXRRsAgGYmq6BMD36cpm+2HZQkdYoN031jump4lxgmOwMAwAMo2gAANBPlTpfeWrlfzy3ZoZJKlwL8LJo+opNuHd5eNn/uhw0AgKdQtAEAaOIqq9yavy5dL367S9mF5ZKk/m1b6IlLeqpTXLjJ6QAAaHoo2gAANFEut6GP1mfo+W93Kj2vTJIUHxGkO87rpCsHJslqtZicEACApomiDQBAE3SoqEJ/eHeDftp9RJLUMsymaSM66KpBbRQUwGniAAA0JIo2AABNzJp9eZo+b71yHRUKCfTTH87rpOuGtlNwIAUbAIDGQNEGAKCJMAxDr/2wV7O+2CaX21DH2DC9ek0/dYzlOmwAABoTRRsAgCagpKJK93zwsz7flCNJ+l3vBM26pKdCbfyqBwCgsfHbFwAAH5dZUKYbX1+rrdkOBfhZ9OCF3XXtkLayWJjsDAAAM1C0AQDwYev25+uWN9fpcHGFWoYF6v+u7a/+baPMjgUAQLNG0QYAwEd9vCFT9364UZVVbnWND9d/Jg9QYosQs2MBANDsWev7guXLl2v8+PFKSEiQxWLRxx9/XGu9YRh66KGH1KpVKwUHB2vkyJHauXNnrW3y8vI0adIkRUREKDIyUlOnTlVxcfFpvREAAJqL0soqPbJws+58L1WVVW6d3z1OH942jJINAICXqHfRLikpUe/evfXSSy8dd/2TTz6p559/Xq+++qpWrVql0NBQjR49WuXl5TXbTJo0SZs3b9aSJUu0aNEiLV++XDfffPOpvwsAAJqJ5TsOadRzyzXnx32SpNuGd9D/XdOfSc8AAPAiFsMwjFN+scWiBQsWaMKECZKqR7MTEhJ09913649//KMkqbCwUHFxcZo7d66uvPJKbd26Vd27d9eaNWs0YMAASdLixYt1wQUXKCMjQwkJCb/5cx0Oh+x2uwoLCxUREXGq8QEA8Bn5JZV67LMt+mh9piSpdWSw/npxikZ0iTU5GQAAzUN9emi9R7RPZu/evcrJydHIkSNrltntdg0ePFgrVqyQJK1YsUKRkZE1JVuSRo4cKavVqlWrVh13vxUVFXI4HLUeAAA0B4Zh6JPUTI18dpk+Wp8pi0WaMqydvppxNiUbAAAv5dHzzHJyqu/dGRcXV2t5XFxczbqcnBzFxtb+YuDv76+oqKiabf7XrFmz9Mgjj3gyKgAAXi+zoEwPfpymb7cdlCR1jgvTExN7qV+bFiYnAwAAJ+MTF3TNnDlTd911V81zh8OhpKQkExMBANBwXG5Db63crycXb1NJpUuBflZNP7ejbj2ngwL9PXoyGgAAaAAeLdrx8fGSpNzcXLVq1apmeW5urvr06VOzzcGDB2u9rqqqSnl5eTWv/182m002m82TUQEA8Eqp6QV6+NPNSk0vkCT1b9tCT1zSU53iws0NBgAA6syj/1k8OTlZ8fHx+uabb2qWORwOrVq1SkOHDpUkDR06VAUFBVq3bl3NNt9++63cbrcGDx7syTgAAPiMXEe57no/VRNe+lGp6QUKDfTTYxf10PxbhlKyAQDwMfUe0S4uLtauXbtqnu/du1epqamKiopSmzZtdOedd+qvf/2rOnXqpOTkZD344INKSEiomZm8W7duGjNmjG666Sa9+uqrcjqdmj59uq688so6zTgOAIAvyiup1McbMvXJz1mqcLqUFBWipBYhSooKVmGZU/9avkellS5J0sR+ibp3TBfFRQSZnBoAAJyKehfttWvXasSIETXPj147PXnyZM2dO1f33nuvSkpKdPPNN6ugoEBnnnmmFi9erKCg/35ZePvttzV9+nSdd955slqtmjhxop5//nkPvB0AALyHy23o+52HNH9thpZsyVWly12zbltO0THb90mK1MO/66E+SZGNmBIAAHjaad1H2yzcRxsA4O0Mw9Dt72zQoo3ZNctSWkfo8gFJSmoRovT8UqXnlSojv0yOcqcu7Z+oi3q3ltVqMTE1AAA4kfr0UJ+YdRwAAF/z5eYcLdqYrQA/iyYNbqvLBiSqR4Ld7FgAAKARULQBAPCwonKnHv50iyTp1nM66O5RXUxOBAAAGhM34wQAwMOe+WqHchzlahsdomkjOpodBwAANDKKNgAAHvRzeoFeX7FPkvTXCSkKCvAzNxAAAGh0FG0AADykyuXWnxdskmFIF/VJ0FmdYsyOBAAATEDRBgDAQ15fsV+bsxyKCPLXA+O6mx0HAACYhMnQAAA4TWWVLn2Rlq1nvtouSZp5QTfFhNtMTgUAAMxC0QYA4BQYhqGNGYV6f226Pk3NUlFFlSRpYLsWumJAksnpAACAmSjaAADU09Zsh+5fsEnrDxTULEtsEazLByRp8rB2slot5oUDAACmo2gDAFBH5U6XXvx2l15dtltVbkOB/laNTYnXFQOSNKR9NAUbAABIomgDAFAnq/Yc0cyPNmnP4RJJ0ugecXr0ohTFRQSZnAwAAHgbijYAAL9h9g979eiiLZKkmHCbHruoh8aktDI5FQAA8FYUbQAATuK7bQf12GfVJfvyAYm6f1x32YMDTE4FAAC8GUUbAIAT2HWwWHe8s0GGIV01KEl/u7inLBauwwYAACdnNTsAAADeqLDUqZveWKuiiioNahelR36XQskGAAB1QtEGAOB/VLncmv7Oeu09XKLWkcF65Zp+CvTnVyYAAKgbvjUAAPA//vb5Nn2/87CCA/z07+sGKDrMZnYkAADgQyjaAAD8yjdbczX7x72SpGcv763uCREmJwIAAL6Gog0AwC8c5U7dvyBNknTTWcka25NbeAEAgPqjaAMA8ItZn29TjqNc7aJDdPeoLmbHAQAAPoqiDQCApJ92H9Y7qw9Ikp6Y2EtBAX4mJwIAAL6Kog0AaPbKKl2a+dEmSdKkwW00pH20yYkAAIAvo2gDAJq9Z5ds1/4jpWplD9KfxnY1Ow4AAPBxFG0AQLOWml6g136onmX88YtTFB4UYHIiAADg6yjaAIBmq7DUqRnvpcptSBP6JOjcrnFmRwIAAE0ARRsA0CxVudy6/d0N2nu4RAn2ID00vofZkQAAQBNB0QYANEtPfLFNy3ccUnCAn/49eYCiQgPNjgQAAJoIijYAoNmZvzZd//nluuynL+utHgl2kxMBAICmhKINAGhW1u3P1/0L0iRJd5zXSeN6tTI5EQAAaGoo2gCAZiPXUa5b3lynSpdbo3vE6c7zOpkdCQAANEEUbQBAs/Hgx2k6XFyhrvHhevbyPrJaLWZHAgAATRBFGwDQLHy1OUdfbcmVv9Wif17ZV6E2f7MjAQCAJoqiDQBo8oorqvSXTzdLkm4+u726xIebnAgAADRlFG0AQJP33JIdyi4sV1JUsG4/l+uyAQBAw6JoAwCatLTMQs35sfpWXo9dlKLgQD+TEwEAgKaOog0AaLJcbkN/XrBJbkMa3ztBw7vEmh0JAAA0AxRtAECT9eaKfdqYUajwIH89eGE3s+MAAIBmgqINAGiS9h4u0VNfbpck3Temq2LDg0xOBAAAmguKNgCgySl3ujTt7fUqqXRpcHKUrh7UxuxIAACgGaFoAwCanL99vlVbsh2KCg3UP6/sK6vVYnYkAADQjFC0AQBNyhebsvXGiv2SpGcv7614O6eMAwCAxkXRBgA0Gel5pbr3w42SpFvP6cAs4wAAwBQUbQBAk1BZ5db0dzaoqLxK/dpE6u5Rnc2OBAAAmimKNgDA5xmGoYcXbtbP6QWyBwfo+av6KsCPX3EAAMAcfAsBAPi855bs0LxVB2SxSE9f1luJLULMjgQAAJoxijYAwKfN/XGvnv92lyTp0YtSdH73OJMTAQCA5o6iDQDwWZ+kZurhhVskSTNGdta1Q9qanAgAAICiDQDwUUu3H9Td7/8sSZo8tK3uOK+jyYkAAACqUbQBAD7nwJFS3fbWelW5DY3vnaC/jO8hi8VidiwAAABJFG0AgA96+qvtKnO6NKhdlJ65rLesVko2AADwHhRtAIBPScss1Kc/Z0mS/vK77gr051cZAADwLnw7AQD4lL8v3iZJmtAnQT0S7CanAQAAOBZFGwDgM37YeVjf7zysAD+L7h7Vxew4AAAAx0XRBgD4BLfbqBnNnjS4rZKiQkxOBAAAcHwUbQCAT/g8LVubMgsVGuin6edyKy8AAOC9KNoAAK/ndLn11JfbJUk3n91BLcNsJicCAAA4MYo2AMDrvbv6gPYfKVXLsEDdeFay2XEAAABOiqINAPBqReVO/fObnZKkO87rpFCbv8mJAAAATo6iDQDwaq8u263DxZVKbhmqKwe2MTsOAADAb6JoAwC8VlZBmf7z/V5J0p/GdlWgP7+2AACA9+MbCwDAaz395XZVVLk1qF2URnWPMzsOAABAnVC0AQBeKS2zUB9tyJQkPXBhN1ksFpMTAQAA1A1FGwDgdQzD0F8/2yJJmtAnQb0SI80NBAAAUA8eL9rt2rWTxWI55jFt2jRJ0vDhw49Zd+utt3o6BgDAh3299aBW7slToL9Vfxzdxew4AAAA9eLxe6SsWbNGLper5nlaWprOP/98XXbZZTXLbrrpJj366KM1z0NCQjwdAwDgo5wut2Z9sVWSNPXMZCW24HcEAADwLR4v2jExMbWeP/HEE+rQoYPOOeecmmUhISGKj4+v8z4rKipUUVFR89zhcJx+UACAV3rth73ac6hEUaGBum14B7PjAAAA1FuDXqNdWVmpt956SzfccEOtSWzefvtttWzZUikpKZo5c6ZKS0tPup9Zs2bJbrfXPJKSkhoyNgDAJGmZhXrmq+2SpD+N6aqIoACTEwEAANSfxTAMo6F2/v777+vqq6/WgQMHlJCQIEn617/+pbZt2yohIUEbN27Ufffdp0GDBumjjz464X6ON6KdlJSkwsJCRURENFR8AEAjKqt06cIXvtfuQyUa1T1O/3dtf2YaBwAAXsPhcMhut9eph3r81PFfe+211zR27Niaki1JN998c83fe/bsqVatWum8887T7t271aHD8U8RtNlsstlsDRkVAGCyv32+VbsPlSg23KYnJvaiZAMAAJ/VYKeO79+/X19//bVuvPHGk243ePBgSdKuXbsaKgoAwMt9szVXb67cL0l65vLeigoNNDkRAADAqWuwoj1nzhzFxsZq3LhxJ90uNTVVktSqVauGigIA8GKHiip07wcbJVXPMn5Wp5jfeAUAAIB3a5BTx91ut+bMmaPJkyfL3/+/P2L37t2aN2+eLrjgAkVHR2vjxo2aMWOGzj77bPXq1ashogAAvJhhGLrvw406UlKprvHhuod7ZgMAgCagQYr2119/rQMHDuiGG26otTwwMFBff/21/vGPf6ikpERJSUmaOHGiHnjggYaIAQDwch+tz9S32w4q0N+qf17ZV0EBfmZHAgAAOG0NUrRHjRql401mnpSUpGXLljXEjwQA+JiDReV6dNEWSdKMkZ3VJT7c5EQAAACe0aD30QYA4EQe/nSzCsucSmkdoZvOSjY7DgAAgMdQtAEAjW5xWrY+35QjP6tFf5/YS/5+/DoCAABNB99sAACNqrDUqQc/2SxJuvWc9uqRYDc5EQAAgGdRtAEAjeqvn23RoaIKdYgJ1e3ndjI7DgAAgMdRtAEAjWb5jkOavy5DFov094m9mGUcAAA0SRRtAECjOFxcobvn/yxJum5IWw1oF2VyIgAAgIZB0QYANDi329CM91J1qKhCnWLDdN/YrmZHAgAAaDAUbQBAg3t1+W59v/OwggKsemlSP4UE+psdCQAAoMFQtAEADWrtvjw989UOSdIjv+uhznHhJicCAABoWBRtAECDyS+p1B3vbJDLbWhCnwRdPiDJ7EgAAAANjqINAGgQbrehez7YqKzCciW3DNVfL+4pi8VidiwAAIAGR9EGAHhcRZVLd76Xqq+35irQ36oXr+6rMBvXZQMAgOaBbz0AAI8qKnfq1rfW6cddR+RvteiZy3qrR4Ld7FgAAACNhqINAPCYg45yTZmzRluyHQoN9NMr1/TX2Z1jzI4FAADQqCjaAACP2HOoWNfNXq2M/DK1DAvUnCmD1DORkWwAAND8ULQBAKdt96FiXfF/K3W4uEJto0P0xg2D1DY61OxYAAAApqBoAwBOy/4jJbr639Ulu2t8uN66cbBahtnMjgUAAGAaijYA4JRl5Jfq6n+vUq6jQp1iw/T2jYMVTckGAADNHLf3AgCckuzCMl3175XKLChT+5ahevsmSjYAAIBE0QYAnIKDjnJd/e9VSs8rU9voEM27aYhiw4PMjgUAAOAVKNoAgHo5VFShq/69UnsPlyixRbDm3TRE8XZKNgAAwFEUbQBAneWVVOqa/6zS7kMlamUP0js3DVHryGCzYwEAAHgVijYAoE4KSqtL9vbcIsWG2zTvpiFKigoxOxYAAIDXoWgDAH6To9yp62av1pZsh1qGBWreTYOV3JL7ZAMAABwPRRsAcFK5jnJd+9pqbcwoVIuQAL194xB1jA03OxYAAIDX4j7aAIAT+mn3Yd3xzgYdLq6UPThAb04drC7xlGwAAICToWgDAI7hdht6ZdluPfPVdrkNqWt8uF65pj+niwMAANQBRRsAUEthqVN3z0/V11sPSpIu7Z+oxy5KUXCgn8nJAAAAfANFGwBQ46fdh3X3+z8ru7Bcgf5WPfq7HrpiYJIsFovZ0QAAAHwGRRsAoIoql579aof+9f0eGYbULjpEL17dTymt7WZHAwAA8DkUbQBo5nbmFukP76ZqS7ZDknTVoCQ9MK67Qm38igAAADgVfIsCgGbqYFG5Xlm6W2+vOqDKKrdahAToiYm9NLpHvNnRAAAAfBpFGwCambySSv3fst16fcU+lTvdkqThXWL05MReio0IMjkdAACA76NoA0AzUVjm1H++36PZP+xVSaVLktS3TaTuPr+LzugYzYRnAAAAHkLRBoAmrriiSnN+2Kt/fb9HReVVkqQeCRG6e1RnjegSS8EGAADwMIo2ADRRFVUuzf1xn15dtlv5pU5JUpe4cM04v7NG94ijYAMAADQQijYANEFHiit061vrtGZfviSpfUyo7hzZWRf2bCWrlYINAADQkCjaANDEbM8p0tTX1ygjv0zhQf568MLuuqRva/n7Wc2OBgAA0CxQtAGgCflma67ueGeDSipdahsdotcmD1TH2DCzYwEAADQrFG0AaAIqqlz6z/d79fRX22UY0pD2UXplUn+1CA00OxoAAECzQ9EGAB/mdLn1wboMvfDNTmUVlkuSrhrURo9e1EMBnCoOAABgCoo2APggl9vQxxsy9c9vdupAXqkkKS7CprvP76LLBiQyozgAAICJKNoA4GN+2n1Yjy7com05RZKklmGBum14R00a3EZBAX4mpwMAAABFGwB8RHpeqR7/bKsWb86RJEUE+eu24R01eVhbhQTycQ4AAOAt+GYGAF6upKJKLy/dpX9/v1eVVW75WS2aNLiNZozszGRnAAAAXoiiDQBeyu02tGBDpv6+eJsOFlVIks7oGK2HLuyhLvHhJqcDAADAiVC0AcALbTiQr4cXbtHP6QWSpDZRIXpgXDed3z2Oic4AAAC8HEUbAExW5XJr96ESbc4q1OYshzZlFmr13jxJUmign6af20k3nNlONn8mOgMAAPAFFG0AMMnRa6/n/LhPpZWuY9Zf1j9R94zuotiIIBPSAQAA4FRRtAGgkbndhj5OzdQTX/z32uvQQD91T4hQjwS7eiREaEC7KCW3DDU5KQAAAE4FRRsAGtGGA/l6ZOEWpf7q2us/X9BNo7rHyWrl2msAAICmgKINAI0g11Guv3+xTR9tyJRUPYI97dyOuuGMZAUFcO01AABAU0LRBoAGVO506bUf9uql73bVXId9af9E3cu11wAAAE0WRRsAGsjXW3L18MLNysgvkyT1bROph8f3UO+kSHODAQAAoEFRtAHAww4VVejhhZv12cZsSVJ8RJD+NLarLuqTwD2wAQAAmgGKNgB4iGEYmr8uQ49/tlWFZU75WS268axk/eG8TgoJ5OMWAACgueCbHwCcJsMwtGZfvv7x9Q79tPuIJKlHQoT+PrGXUlrbTU4HAACAxkbRBoBTVOVy6/O0HP3n+z3amFEoSbL5W3XX+Z019cxk+ftZTU4IAAAAM1C0AeAUzF+brn98vVOZBdUTndn8rZrYP1G3nt1BbaJDTE4HAAAAM1G0AaAeqlxuPbpoi95YsV+SFB0aqOuGttM1Q9ooOsxmcjoAAAB4A4o2ANRRYalT0+at1w+7DstikWaM7Kybz26voAA/s6MBAADAi1C0AaAO9hwq1o2vr9WewyUKCfTTc1f00ege8WbHAgAAgBfy+Ew9Dz/8sCwWS61H165da9aXl5dr2rRpio6OVlhYmCZOnKjc3FxPxwAAj1m3P18Xv/yT9hwuUYI9SB/cOoySDQAAgBNqkClxe/Tooezs7JrHDz/8ULNuxowZWrhwoebPn69ly5YpKytLl1xySUPEAIDTti3HoevnrFZhmVN920Tq4+lnqHtChNmxAAAA4MUa5NRxf39/xccfO9pTWFio1157TfPmzdO5554rSZozZ466deumlStXasiQIQ0RBwBOSXpeqa57bbUc5VXq37aF3po6WMGBXI8NAACAk2uQEe2dO3cqISFB7du316RJk3TgwAFJ0rp16+R0OjVy5Miabbt27ao2bdpoxYoVJ9xfRUWFHA5HrQcANKTDxRW69rVVOlhUoS5x4Zo9eSAlGwAAAHXi8aI9ePBgzZ07V4sXL9Yrr7yivXv36qyzzlJRUZFycnIUGBioyMjIWq+Ji4tTTk7OCfc5a9Ys2e32mkdSUpKnYwNAjaJypybPXq19R0qV2CJYb0wdJHtIgNmxAAAA4CM8fur42LFja/7eq1cvDR48WG3bttX777+v4ODgU9rnzJkzddddd9U8dzgclG0ADaKgtFI3v7lOm7Mcig4N1JtTBysuIsjsWAAAAPAhDX57r8jISHXu3Fm7du3S+eefr8rKShUUFNQa1c7NzT3uNd1H2Ww22Wy2ho4KoJnbmFGg295ar8yCMoXZ/PX6DYOU3DLU7FgAAADwMQ1yjfavFRcXa/fu3WrVqpX69++vgIAAffPNNzXrt2/frgMHDmjo0KENHQUAjsswDL29ar8ufWWFMgvK1CYqRO/ePEQpre1mRwMAAIAP8viI9h//+EeNHz9ebdu2VVZWlv7yl7/Iz89PV111lex2u6ZOnaq77rpLUVFRioiI0O23366hQ4cy4zgAU5RVunT/gk36aEOmJGlktzg9c3lv2YO5JhsAAACnxuNFOyMjQ1dddZWOHDmimJgYnXnmmVq5cqViYmIkSc8995ysVqsmTpyoiooKjR49Wi+//LKnYwDAb8oqKNONr6/VlmyHrBbpntFddcvZ7WW1WsyOBgAAAB9mMQzDMDtEfTkcDtntdhUWFioiIsLsOAB80PoD+br5jXU6XFyh6NBAvXh1Pw3tEG12LAAAAHip+vTQBp8MDQC8zSepmbrng42qrHKra3y4/jN5gBJbhJgdCwAAAE0ERRtAs+F2G3p2yQ69+N0uSdXXY//jyj4Ks/FRCAAAAM/h2yWAZiG/pFIz3k/V0u2HJEm3ntNB94zuIj+uxwYAAICHUbQBNHk/pxfo929X3x/b5m/VrEt66pJ+iWbHAgAAQBNF0QbQZBmGobdWHdBjC7eo0uVWu+gQvTypv7onMIkiAAAAGg5FG0CTVFnl1syPNunD9RmSpFHd4/T05b0VEcT9sQEAANCwKNoAmpziiird9tY6fb/zsPysFt03potuOqu9LBauxwYAAEDDo2gDaFIOFVXo+rmrlZbpUEign16e1E/Du8SaHQsAAADNCEUbQJOx73CJrpu9WgfyShUdGqjZUwaqd1Kk2bEAAADQzFC0Afi8jPxSfbk5Vy9/t0tHSiqVFBWsN24YrOSWoWZHAwAAQDNE0Qbgk/YfKdGijdlanJajTZmFNct7JERozvUDFRseZGI6AAAANGcUbQA+pdzp0j+/2al/Ld8jl9uQJFkt0sB2URqTEq8rBiYpJJCPNgAAAJiHb6MAfMbKPUc086NN2nu4RJI0rEO0xvdO0Pnd49QyzGZyOgAAAKAaRRuA1ztcXKFnvtqhd1YfkCTFhtv06EUpGpMSb3IyAAAA4FgUbQBeKbOgTF+m5Wjx5hyt3ZenX84S19WD2+i+MV1lDw4wNyAAAABwAhRtAF6htLJKa/fl66fdR/TDrkNKy3TUWt87KVIzx3bVkPbRJiUEAAAA6oaiDaDRud2G9ueVanNWoTZnObRuX742pOfL6TJqtrEcneCsR7xG9YhTYosQExMDAAAAdUfRBtCgnC63dh0sVlpmdanekuXQlmyHiiuqjtk2wR6kYR1bamj7aJ3dOUYx4UxwBgAAAN9D0QbgMWWVLm3NcfxSqAuVlunQ9twiVVa5j9k20N+qbvHh6p5gV69Eu4Z1iFabqBBZLBYTkgMAAACeQ9EGcEoKy5zVp35nOmpOAd99qLhm0rJfC7f5q3tChHok2NUjIUI9WkeoQ0yYAvysjR8cAAAAaGAUbQB1llVQpsXHmQn811qG2ZTSOqK6UP9SrJNahMhqZaQaAAAAzQNFG8Axyp0uZeSXKSO/VOn5ZcrIK9XKPUf0c0Zhre2SooLVo5X9l2JdXapjI4JMSg0AAAB4B4o2AEnVo9Vfbs7R4rQcrTnBaDUzgQMAAAC/jaINNGN7DhVr8eYcfZmWc8xodWign5KiQpTYIkSJLYLVNT5c53WLYyZwAAAA4DdQtIFmxDAMbcl26MtfrrPekVtcs85ikQa2jdLolHiN6h6nxBbBzAAOAAAAnAKKNtDEpeeVasXuI/pp92H9tPuIDhZV1Kzzt1o0rGNLjekRr/O7M1oNAAAAeAJFG2iC0vNKNX9dhj5JzdT+I6W11tn8rTqnc4zG9ozXuV3iZA8JMCklAAAA0DRRtIEmotzp0pebc/T+2nT9uOtIzXJ/q0W9kyI1rEO0hnaIVr82LRQU4GdiUgAAAKBpo2gDPi4ts1DvrUnXJ6mZcpRXSaq+3vrMji112YAkndc1VqE2/q8OAAAANBa+fQM+6FBRhT7bmKX312ZoS7ajZnnryGBd2j9Rl/ZPVFIUt94CAAAAzEDRBnxERn6pvtycqy/TcrRmf56MX+5zHehn1eiUeF0+IFFndGgpq5WZwgEAAAAzUbQBL7b7ULEWp+VocVqONmXWvs9170S7Lu7bWhP6tlZkSKBJCQEAAAD8L4o24GV25hbp05+ztDgtRzsP/vc+11aLNLBdlMakxGtUj3i1jgw2MSUAAACAE6FoA16gqNyphT9n6/216UpNL6hZHuBn0Rm/3Od6ZPc4tQzjPtcAAACAt6NoAyY56CjXij1HtHT7IX2Rlq1yp1tS9e24hneJ1YW9WmlE11jZg7nPNQAAAOBLKNpAI8kvqdTKPUf00+4j+mn3Ye0+VFJrfYeYUF0xMEkX901UTDgj1wAAAICvomgDDaS0skordh8t1ke09Ve34ZKq73XdIyFCQ9tHa0xKvPq1aSGLhRnDAQAAAF9H0QY8qLDMqW+35WpxWo6W7ThUczr4UZ3jwjSsQ0sNaR+tIe2jmC0cAAAAaIIo2sApcrsN7TtSorQshzZnFWpTRqHW7MuT02XUbNM6Mlhnd47RsA7RGtI+mlPCAQAAgGaAog3UUZXLrY2ZhVqx+4hW7D6iDQfyVVLpOma7TrFhGpMSr9E94tUjIYLTwQEAAIBmhqINHIdhGMrIL9PmLIe2ZBXq54xCrd2Xd0yxDgqwqmt8hHokRCiltV0D20WpY2yYSakBAAAAeAOKNpo9l9vQ3sPF2pzlUFpmoTZnObQ5y6HCMucx29qDAzSkfZSGdWipwe2j1DEmTP5+VhNSAwAAAPBWFG00WY5yp/YdLlG5062KKpcqnG6VV7mUU1iujPwyZeSXKj2vTPvzSo6ZtEySAvws6hQbrh4J1SPWA9pFqXurCFmtnAoOAAAA4MQo2mgySiurtHZfvn7afUQrdh/WpsxCuY3ffp0kBQf4qVurcKW0tv9SrO3qFBcmm79fw4YGAAAA0ORQtOFTDMPQ7kPFWrH7iHYfKlF2YZlyCsuVXViuQ8UVMv6nWMeG2xRm81egv1W2AD/Z/K2KCbMpMSpYSS1ClNgiWG2iQtQ2OlR+jFQDAAAA8ACKNrxaYVn16d9bsx1aseeIftp9RIeKKk64fevIYA3rEK2hvzxa2YMbMS0AAAAAULRhArfbUG5R9XXS6XmlOlRUoZJKl8oqq1RS6VJJRZUy88u093CJjpRUHvN6m79VA9q1UK/ESCXYgxQXEaRW9mDF24PUMiyQ22kBAAAAMBVFG6fNMAyVO90qLHMq11Fe/Siq0EFHuY6UVMpR5lRhmVOO8ioVlFYqu6Bcla5jJx87kdhwm9rHhGpQuygN7dBSfdtEKiiAa6cBAAAAeCeKdjNnGIYcZVXKKChVZn6ZMvLLlOsol9NlyG0YMgxDhqTKKreKK6qqH+XVfxb98mdxRZVcdZ117Bd+VosSIoOU1CJE8RFBCrX5KyTQTyGB1X/G24OU3DJU7VqGKszGYQoAAADAd9BgmgDDMFTpcte6jVVFlVvlTpeyC8u1/0iJ0vNKtT+vVDmF5SpzulRW6VKZ06Vyp0tOV/1K8on4WS2KDbcpNiJIceE2xUUEKTosUPbgAEUEBVT/GRyghMggxUcEcf9pAAAAAE0SRdsLuN2GDpdU1MyenVdSKZe7eiTZMAy53YYKy6qUW1Sug45y5TjKdaioQmWVLlVUVZfq0xUdGqjWLYKV2CJYrezBsvlbZbVYZLFIFotFAVaLwoL8FWbzV3iQv8JsAf/zvHokmuujAQAAADR3FO06qKyqvv64qNxZc8p0WaVLfn4WBVit8vezKMDPogqnW/mlThWUVaqg1ClHmVOlldWjxkdHj4+OJpc7q0ecSytdOlxcoap6nnp9MkEBVtn8q29lFRcRpDZRIWoTHaI2USFqHRmsUJu/ggKsCg7wU3CgnyKDAxUcyDXPAAAAAOAJza5ou9yGjhRXKPtX9152udxyG6oZQXaUOZX+y4zY6fmlynWc+HZSnmK1SDHhNsXbgxUTFig/q0VWS/VDFiks0F9x9upTruMibIoJtynU5i+b/y+lOsAqm79VgX5WRpUBAAAAwEQ+X7Qd5U5lFZQpq6BMmfllyiwoV+Yvzw8XV6jql0m9XO7qR2GZ85RHj4+eJh0e5K/gAD+5DENVLkNOl1tVbkOBfla1CAmUPSRAkcHV1ySHBPopKNCvevT4lxHkoF/+fvTPluGBigmzcc0yAAAAADQBPl20h8z6WqWGrd6vs1qkuIjq+y/HhtsU6F89CmytHjxWiM1fiS2CldQiRElRIUpsEawWIdWjzAAAAAAAnIxPF+3icpesNqlFSIASIoPVOjK45s/WLYIVE25TgJ9VfhaLrNbqWbHtwQGMHgMAAAAAGoxPF+1Ppg9T58Q4hXKfZQAAAACAl/DpYd0OMeGUbAAAAACAV/Hpog0AAAAAgLehaAMAAAAA4EEUbQAAAAAAPIiiDQAAAACAB1G0AQAAAADwII8X7VmzZmngwIEKDw9XbGysJkyYoO3bt9faZvjw4bJYLLUet956q6ejAAAAAADQ6DxetJctW6Zp06Zp5cqVWrJkiZxOp0aNGqWSkpJa2910003Kzs6ueTz55JOejgIAAAAAQKPz+E2oFy9eXOv53LlzFRsbq3Xr1unss8+uWR4SEqL4+HhP/3gAAAAAAEzV4NdoFxYWSpKioqJqLX/77bfVsmVLpaSkaObMmSotLT3hPioqKuRwOGo9AAAAAADwRh4f0f41t9utO++8U2eccYZSUlJqll999dVq27atEhIStHHjRt13333avn27Pvroo+PuZ9asWXrkkUcaMioAAAAAAB5hMQzDaKid33bbbfriiy/0ww8/KDEx8YTbffvttzrvvPO0a9cudejQ4Zj1FRUVqqioqHnucDiUlJSkwsJCRURENEh2AAAAAACOcjgcstvtdeqhDTaiPX36dC1atEjLly8/acmWpMGDB0vSCYu2zWaTzWZrkJwAAAAAAHiSx4u2YRi6/fbbtWDBAi1dulTJycm/+ZrU1FRJUqtWrTwdBwAAAACARuXxoj1t2jTNmzdPn3zyicLDw5WTkyNJstvtCg4O1u7duzVv3jxdcMEFio6O1saNGzVjxgydffbZ6tWrl6fjAAAAAADQqDx+jbbFYjnu8jlz5mjKlClKT0/XNddco7S0NJWUlCgpKUkXX3yxHnjggTpfb12fc+MBAAAAADhdpl6j/Vu9PSkpScuWLfP0jwUAAAAAwCs0+H20AQAAAABoTijaAAAAAAB4EEUbAAAAAAAPomgDAAAAAOBBFG0AAAAAADyIog0AAAAAgAdRtAEAAAAA8CCKNgAAAAAAHuRvdoBTYRiGJMnhcJicBAAAAADQHBztn0f76Mn4ZNEuKiqSJCUlJZmcBAAAAADQnBQVFclut590G4tRlzruZdxut7KyshQeHi6LxXJa+3I4HEpKSlJ6eroiIiI8lBAnM3DgQK1Zs8bsGM0Cx3fj4/huPBzfjY/ju/FwfDc+ju/Gw/Hd+Di+PcMwDBUVFSkhIUFW68mvwvbJEW2r1arExESP7jMiIoL/ozcSPz8//q0bGcd34+H4bnwc342H47vxcXw3Ho7vxsfx3Xg4vj3nt0ayj2IyNDS6adOmmR0BaDAc32jKOL7RlHF8oynj+G58PnnquCc5HA7Z7XYVFhbyX3nQ5HB8oynj+EZTxvGNpozjG81Bsx/Rttls+stf/iKbzWZ2FMDjOL7RlHF8oynj+EZTxvGN5qDZj2gDAAAAAOBJzX5EGwAAAAAAT6JoAwAAAADgQRRtAAAAAAA8iKINAAAAAIAHUbQBAAAAAPAgny/ay5cv1/jx45WQkCCLxaKPP/641vrc3FxNmTJFCQkJCgkJ0ZgxY7Rz585j9rNixQqde+65Cg0NVUREhM4++2yVlZXVrM/Ly9OkSZMUERGhyMhITZ06VcXFxQ399oDTPsb37dsni8Vy3Mf8+fNrtjtw4IDGjRunkJAQxcbG6p577lFVVVVjvU00U574DM/JydG1116r+Ph4hYaGql+/fvrwww9rbcNnOMzgieN79+7duvjiixUTE6OIiAhdfvnlys3NrbUNxzfMMGvWLA0cOFDh4eGKjY3VhAkTtH379lrblJeXa9q0aYqOjlZYWJgmTpx4zPFbl+8fS5cuVb9+/WSz2dSxY0fNnTu3od8ecNp8vmiXlJSod+/eeumll45ZZxiGJkyYoD179uiTTz7Rhg0b1LZtW40cOVIlJSU1261YsUJjxozRqFGjtHr1aq1Zs0bTp0+X1frff55JkyZp8+bNWrJkiRYtWqTly5fr5ptvbpT3iObtdI/xpKQkZWdn13o88sgjCgsL09ixYyVJLpdL48aNU2VlpX766Se9/vrrmjt3rh566KFGfa9ofjzxGX7ddddp+/bt+vTTT7Vp0yZdcskluvzyy7Vhw4aabfgMhxlO9/guKSnRqFGjZLFY9O233+rHH39UZWWlxo8fL7fbXbMvjm+YYdmyZZo2bZpWrlypJUuWyOl0atSoUbU+n2fMmKGFCxdq/vz5WrZsmbKysnTJJZfUrK/L94+9e/dq3LhxGjFihFJTU3XnnXfqxhtv1Jdfftmo7xeoN6MJkWQsWLCg5vn27dsNSUZaWlrNMpfLZcTExBj//ve/a5YNHjzYeOCBB0643y1bthiSjDVr1tQs++KLLwyLxWJkZmZ69k0AJ3Gqx/j/6tOnj3HDDTfUPP/8888Nq9Vq5OTk1Cx75ZVXjIiICKOiosKzbwI4gVM9vkNDQ4033nij1r6ioqJqtuEzHN7gVI7vL7/80rBarUZhYWHNNgUFBYbFYjGWLFliGAbHN7zHwYMHDUnGsmXLDMOoPlYDAgKM+fPn12yzdetWQ5KxYsUKwzDq9v3j3nvvNXr06FHrZ11xxRXG6NGjG/otAafF50e0T6aiokKSFBQUVLPMarXKZrPphx9+kCQdPHhQq1atUmxsrIYNG6a4uDidc845Neul6hHvyMhIDRgwoGbZyJEjZbVatWrVqkZ6N8Cx6nKM/69169YpNTVVU6dOrVm2YsUK9ezZU3FxcTXLRo8eLYfDoc2bNzdQeuDk6np8Dxs2TO+9957y8vLkdrv17rvvqry8XMOHD5fEZzi8U12O74qKClksFtlstpptgoKCZLVaa7bh+Ia3KCwslCRFRUVJqv6+4XQ6NXLkyJptunbtqjZt2mjFihWS6vb9Y8WKFbX2cXSbo/sAvFWTLtpH/888c+ZM5efnq7KyUn//+9+VkZGh7OxsSdKePXskSQ8//LBuuukmLV68WP369dN5551Xc51UTk6OYmNja+3b399fUVFRysnJadw3BfxKXY7x//Xaa6+pW7duGjZsWM2ynJycWr/kJNU85xiHWep6fL///vtyOp2Kjo6WzWbTLbfcogULFqhjx46S+AyHd6rL8T1kyBCFhobqvvvuU2lpqUpKSvTHP/5RLperZhuOb3gDt9utO++8U2eccYZSUlIkVR+bgYGBioyMrLVtXFxczbFZl+8fJ9rG4XDUmk8J8DZNumgHBAToo48+0o4dOxQVFaWQkBB99913Gjt2bM3110evcbrlllt0/fXXq2/fvnruuefUpUsXzZ4928z4wG+qyzH+a2VlZZo3b16t0WzAW9X1+H7wwQdVUFCgr7/+WmvXrtVdd92lyy+/XJs2bTIxPXBydTm+Y2JiNH/+fC1cuFBhYWGy2+0qKChQv379jvsZD5hl2rRpSktL07vvvmt2FMBr+JsdoKH1799fqampKiwsVGVlpWJiYjR48OCaU6xatWolSerevXut13Xr1k0HDhyQJMXHx+vgwYO11ldVVSkvL0/x8fGN8C6AE/utY/zXPvjgA5WWluq6666rtTw+Pl6rV6+utezorKAc4zDTbx3fu3fv1osvvqi0tDT16NFDktS7d299//33eumll/Tqq6/yGQ6vVZfP71GjRmn37t06fPiw/P39FRkZqfj4eLVv314S31FgvunTp9dMwpeYmFizPD4+XpWVlSooKKg1qp2bm1tzbNbl+0d8fPwxM5Xn5uYqIiJCwcHBDfGWAI9oNv851G63KyYmRjt37tTatWt10UUXSZLatWun/2/v3kFa2aIwju8QIjpIfJAoiA8U04l4sJApbEUbQTsrsVOxUkQC6W18YGGpFnZaaCMKYiIoiKBEsBCTKGoTEAQhEMFHvlOdcEM8Fy9njvHi/wfTzF7sYcFis1cmya6pqck7jiAWi5mGhgZjjDG2bZvHx0dzenqaHQ+HwyaTyZiOjo7PSwL4F7+r8X9aWloyvb29xu/359y3bducn5/nbNZ2d3eN1+vN+xAKKITf1Xc6nTbGmLy3e263O/uNJdZwfHUfWb99Pp8pLy834XDY3N/fm97eXmMM9Y3CkWTGxsbMxsaGCYfDprGxMWe8vb3deDwes7e3l713eXlp7u7ujG3bxpiP7T9s286Z41fMrzmAL6vQ/8b2p1KplKLRqKLRqIwxmpubUzQa1e3trSRpbW1NkUhEV1dX2tzcVENDg/r7+3PmmJ+fl9fr1fr6uuLxuEKhkIqLi5VIJLIx3d3d+vHjh46Pj3V4eKhAIKCBgYFPzRXfkxM1LknxeFwul0vb29t5Y6+vr2ppaVFXV5fOzs60s7Mjv9+vYDD41/PD9/an9f38/Kzm5mZ1dnbq+PhYiURCMzMzcrlc2traysaxhqMQnFi/l5eXdXR0pEQiodXVVVVWVmp8fDwnhvpGIYyMjKisrEz7+/tKJpPZK51OZ2OGh4dVX1+vcDisk5MT2bYt27az4x/Zf1xfX8uyLE1OTuri4kKLi4tyu93a2dn51HyB/+p/32hHIhEZY/KuwcFBSdLCwoJqa2vl8XhUX1+vUCj07nFF09PTqq2tlWVZsm1bBwcHOeMPDw8aGBhQaWmpvF6vhoaGlEqlPiNFfHNO1XgwGFRdXZ3e3t7efc7NzY16enpUUlIin8+niYkJvby8/M3UAEfqOxaLqb+/X1VVVbIsS62trXnHfbGGoxCcqO+pqSlVV1fL4/EoEAhodnZWmUwmJ4b6RiG8V9vGGK2srGRjnp6eNDo6qoqKClmWpb6+PiWTyZx5PrL/iEQiamtrU1FRkZqamnKeAXxVLkn6jDfnAAAAAAB8B9/mN9oAAAAAAHwGGm0AAAAAABxEow0AAAAAgINotAEAAAAAcBCNNgAAAAAADqLRBgAAAADAQTTaAAAAAAA4iEYbAAAAAAAH0WgDAAAAAOAgGm0AAAAAABxEow0AAAAAgIN+AhgKdKZaZnpNAAAAAElFTkSuQmCC\n", "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": "2022-11-02T17:10:51.471496Z", "iopub.status.busy": "2022-11-02T17:10:51.471210Z", "iopub.status.idle": "2022-11-02T17:10:51.484670Z", "shell.execute_reply": "2022-11-02T17:10:51.483937Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9904328188337422\n" ] } ], "source": [ "print(sm.tsa.adfuller(cpi)[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }