{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Sunspots data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import qqplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sunspots Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "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": {},
   "outputs": [],
   "source": [
    "dta = sm.datasets.sunspots.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n",
    "del dta[\"YEAR\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dta.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.659523\n",
      "ar.L1.SUNACTIVITY     1.390656\n",
      "ar.L2.SUNACTIVITY    -0.688571\n",
      "dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n"
     ]
    }
   ],
   "source": [
    "arma_mod20 = sm.tsa.ARMA(dta, (2,0)).fit(disp=False)\n",
    "print(arma_mod20.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n"
     ]
    }
   ],
   "source": [
    "arma_mod30 = sm.tsa.ARMA(dta, (3,0)).fit(disp=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2622.636338065289 2637.5697031728796 2628.606725910535\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.749898\n",
      "ar.L1.SUNACTIVITY     1.300810\n",
      "ar.L2.SUNACTIVITY    -0.508093\n",
      "ar.L3.SUNACTIVITY    -0.129650\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2619.403628696713 2638.070335081202 2626.8666135032704\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": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.956480768899294"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(arma_mod30.resid.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [],
   "source": [
    "resid = arma_mod30.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NormaltestResult(statistic=49.84503952862609, pvalue=1.5006768784454912e-11)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.normaltest(resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q      Prob(>Q)\n",
      "lag                                    \n",
      "1.0   0.009179   0.026287  8.712021e-01\n",
      "2.0   0.041793   0.573041  7.508716e-01\n",
      "3.0  -0.001335   0.573601  9.024484e-01\n",
      "4.0   0.136089   6.408916  1.706207e-01\n",
      "5.0   0.092468   9.111821  1.046863e-01\n",
      "6.0   0.091948  11.793233  6.674372e-02\n",
      "7.0   0.068748  13.297188  6.519011e-02\n",
      "8.0  -0.015020  13.369216  9.976172e-02\n",
      "9.0   0.187592  24.641898  3.393924e-03\n",
      "10.0  0.213718  39.321988  2.229480e-05\n",
      "11.0  0.201082  52.361135  2.344952e-07\n",
      "12.0  0.117182  56.804187  8.574263e-08\n",
      "13.0 -0.014055  56.868324  1.893903e-07\n",
      "14.0  0.015398  56.945563  3.997661e-07\n",
      "15.0 -0.024967  57.149318  7.741472e-07\n",
      "16.0  0.080916  59.296767  6.872169e-07\n",
      "17.0  0.041138  59.853736  1.110945e-06\n",
      "18.0 -0.052021  60.747426  1.548433e-06\n",
      "19.0  0.062496  62.041689  1.831645e-06\n",
      "20.0 -0.010301  62.076976  3.381245e-06\n",
      "21.0  0.074453  63.926652  3.193588e-06\n",
      "22.0  0.124955  69.154771  8.978353e-07\n",
      "23.0  0.093162  72.071035  5.799780e-07\n",
      "24.0 -0.082152  74.346688  4.713014e-07\n",
      "25.0  0.015695  74.430043  8.289039e-07\n",
      "26.0 -0.025037  74.642902  1.367283e-06\n",
      "27.0 -0.125861  80.041149  3.722564e-07\n",
      "28.0  0.053225  81.009981  4.716277e-07\n",
      "29.0 -0.038693  81.523807  6.916630e-07\n",
      "30.0 -0.016904  81.622226  1.151661e-06\n",
      "31.0 -0.019296  81.750938  1.868765e-06\n",
      "32.0  0.104990  85.575066  8.927952e-07\n",
      "33.0  0.040086  86.134568  1.247508e-06\n",
      "34.0  0.008829  86.161811  2.047823e-06\n",
      "35.0  0.014588  86.236448  3.263805e-06\n",
      "36.0 -0.119329  91.248900  1.084453e-06\n",
      "37.0 -0.036666  91.723869  1.521921e-06\n",
      "38.0 -0.046193  92.480518  1.938732e-06\n",
      "39.0 -0.017768  92.592887  2.990674e-06\n",
      "40.0 -0.006220  92.606710  4.696977e-06\n"
     ]
    }
   ],
   "source": [
    "r,q,p = sm.tsa.acf(resid.values.squeeze(), fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), 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": [
    "* 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": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1990-12-31    167.047401\n",
      "1991-12-31    140.992972\n",
      "1992-12-31     94.859076\n",
      "1993-12-31     46.860863\n",
      "1994-12-31     11.242552\n",
      "1995-12-31     -4.721323\n",
      "1996-12-31     -1.166941\n",
      "1997-12-31     16.185657\n",
      "1998-12-31     39.021841\n",
      "1999-12-31     59.449824\n",
      "2000-12-31     72.170091\n",
      "2001-12-31     75.376732\n",
      "2002-12-31     70.436411\n",
      "2003-12-31     60.731545\n",
      "2004-12-31     50.201761\n",
      "2005-12-31     42.075996\n",
      "2006-12-31     38.114257\n",
      "2007-12-31     38.454611\n",
      "2008-12-31     41.963779\n",
      "2009-12-31     46.869245\n",
      "2010-12-31     51.423214\n",
      "2011-12-31     54.399670\n",
      "2012-12-31     55.321643\n",
      "Freq: A-DEC, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predict_sunspots = arma_mod30.predict('1990', '2012', dynamic=True)\n",
    "print(predict_sunspots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "ax = dta.loc['1950':].plot(ax=ax)\n",
    "fig = arma_mod30.plot_predict('1990', '2012', dynamic=True, ax=ax, plot_insample=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_forecast_err(y, yhat):\n",
    "    return y.sub(yhat).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.636994490394947"
      ]
     },
     "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": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_process import ArmaProcess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1234)\n",
    "# include zero-th lag\n",
    "arparams = np.array([1, .75, -.65, -.55, .9])\n",
    "maparams = np.array([1, .65])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make sure this model is estimable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_t = ArmaProcess(arparams, maparams)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isinvertible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arparams = np.array([1, .35, -.15, .55, .1])\n",
    "maparams = np.array([1, .65])\n",
    "arma_t = ArmaProcess(arparams, maparams)\n",
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5kupQ02tJSZI0BbWjZfleYHlEnAk8BlwOvKVxhog4HfgqcGVmPtiGMqWuUB1Krrz5Hjbu2MvBgSqz+yusWjqf266+kEpfsw9lNFHVoWTd1t1s2rWPcxfPY82KhW5jSVLLWg7LmTkYEdcCdwEV4JbM3BQR19Sn3wh8GDgZ+LOIABjMzNWtli1Ndeu27mbjjr0cGKgCcGCgysYde1m3dTcXnbOo5NpNH16USJImSztalsnMO4E7R427seH1O4F3tqMstY8tcZNv0659HKwH5WEHB6ps3rXPsNxGXpRIkiZLW8Kyuo8tcZ1x7uJ5zO6vHA5xALP7K6xcPK/EWk0/XpRIkiaLX3fdoxpb4pKRLXFqnzUrFrJq6XyiOgA5xJz6RcmaFQvLrtq0MnxR0siLEklTmTd/dw9blntUL7bEldHtpNIX3Hb1hbzmTVczcPxCPvGh93Wsu0svdbMZvij55wcfJ/tmMGfWzDFflGQmmS897zJz5Amr2elr1Cxk86dljtsR680j1//SuMb5GqYfY51tquoR9RrT/E1mH8v7aFyuXdt6Qo74u48aPsp+0ey9j6OoUo3+nzhyeocqMoGym+0vR/6d2utYx5DM2vH5+q/8gP/viX288OIQx83s41+8fB5/+KZ/SV/Dcfqox4Cm/0/N381E/kbj2bbH2qZH2yaNk+YdN4Pli04YeyU7xLDco3qte0C7u500BqzMrP+Gofp/fW3aS/PMeuZHzHrmR6xe9vvsf2FwxDRGrSN5acKIcRw9KDUecKpDyfu/dD+bH//J4QPxOafO44/efN7h99t0HSPGHX7V8J5GHrwzjxwevfzog/d4D6pHm7fR+17/Ch742o0Mzl3Ie37rN3n16fP5/qPPHl6uVtccMSxJZdjwyLNsfnwfhwaHADj44hCbH9/H3Vt2c/4ZJ5Zcu/K8WJ2aB2bDco9qpSVuMmQmg0NJtf7T+Lo2PDRiuJrHDmqNgfTeh59hw6PP8sKLtQPTgYEqGx55ls/8w3ZWLzvx8DK1dY1cz3D9hk3kk7LnDw0CsHnXvvEvPAEbHnmWB3b9ZMSBeNOufXzzgScm/UA8NJRs3LGXh59+nmUnH8+qpfNHtJRMphlPPcSMpx7iVUuuozoE1SnVPtd+ZW7rXuJ2VpGJ7hsPP/08A/Xj87CBwSEefvr5ng7LU5VhuQcNDSUvvFjlT35jFRe/9b8zcPxCPvDe/8jPLDuJ7Xv2A81bEKF5K2czx/qY+vlDgyRw3yPP1ELNJPfVevCJ5zj04sgD06HBIbbt3s+rlsyf1LLLUNaBeGgo+dg3trBt934GBofon9HH2Qvn8sFLzjFctJnbujPczirSyr6x7OTj6Z/Rd7hBA6B/Rh/LTj5+squtCTAsT2NDQ8nBF6scGKhycKBafz3IocGhw2E2dj/ILB7krAW/zTPPv9ixug2H44HBzrT89dqBqaz3u3HHXrbt3n+43OELko079tpa0mZu685wO6tIK/vGqqXzOXvhXDY9+hRUZjBr5gzOXjiXVUvH1njjpx2dZVgep+EuAZNlov0oB4eSAwODvDAwxIEXBzk4UB0RintdqwemblPW+/Wjxc5xW3dGL25ng9jYtLJv9PUFH7zkHH7zPe+nOncR116zdszb2U87Os+wPE5P7HuBR58+UHY1NE6tHJi6UVnvt9da8Mvktu6MXtvOBrGxa3Xf6OsL+p/eBk9v4/wzrhtzuX7a0Xk+Z1k9Y/jANPuRf+T8M06c9gf+Mt7vcIs2g7XnSs+qn2inawt+mcrc1kNDyYZHnuWrG3ay4ZFnGZrGz4fttX26MYglI4OYRipr3zhai7Ymhy3LU4AfeWm66LUW/DKVta17reWx1/bpXux2MlF+gtc7DMsl67UTj6a/iX60qPErY1v34kfAvbRPtxrEeq3xp4x9o9fuwZkKDMsl68UTj6Tu1a0tj70W4iaqlSBm409n9NqnHVOBYblNfDC5pF5Q5kfAEz3OGuLGrpUgZuNP5/TSpx1TgWG5DXwwuaReUdZHwK0cZw1x4zPRIGbjj6artjwNIyIujoitEbEtIq5vMj0i4ob69B9ExPntKHeqaOXu4V6701qajnrp6RDDLY9zN3+N2T/+B/7TLy7vSAttK8dZnx7QGcONP41s/NF00HJYjogK8GngEmAlcEVErBw12yXA8vrPWuDPWy13KmnlQFzWiUdSewy3eN7w7Yf48n07ueHbD/Gxb2yZ9oG5048lbOU4a4jrjG5t/Omli11NTGSLX/EWEa8BPpqZb6gPfwAgM/+wYZ7/DqzLzC/Wh7cCazLz8aOt+6QzzsnXf/CWluo3Xhvv3wjAqvNWNZ0+MDjEC4PVEeOee2GQx/YeHPFteRFw2vzZnHDc2Hq6PLT5AQCWr3zlBGo9cZZruZbbmnb8/7diou85M9l/qMoLL1Y5bmaFubMqRIw99HZ6W7eynTOTR585yIFDLwJB9AWzZ1Y4/aTZY37PZe3TZWllv3pw23ao9LN48anj3q86bXjfOPhilczaPtXJfaOsZaeqGX19zOmvlFL2l675V/dl5upm09oRlt8MXJyZ76wPXwlcmJnXNszzdeDjmfnd+vDdwHWZub7J+tZSa31m7qln/fSlH7mtpfq1W7Ow3I5/tlb0UjCxXMudamXvee4QT+0fOGL8grn9nHLCrEkrtxXtCI+tmMj7bfU4O3xxcOjFKrMmcHHQijICUbeF1mGd3lZlX+yWZaoG/Okclv8d8IZRYfmCzHx3wzz/D/CHo8Lyb2fmfUdb9+rVq3P9+iPydKke23uw6dddl/lYone95dcA+PQX7uhIeZZrudOx3ImWveGRZ7nh2w+NuEl31ow+/tMvLh/zTU2dfs/tqHMrJvp+u/Xxb62834k8lWK4a9DomzC7oYtfK/8LE1n2qxt28uX7dtKYhAJ4808v4U3nLxl3HbpFp7fzWJd92eyZrFw8b9zrbYeIKAzL7bhs2gksbRheAuyawDxdra8vOP+ME73jV+oxw/00Rz+lYSr30+zWpxb00nF2OPDuX/lGqMzghm8/NO6nfzCjH+iep38MDSUDJ59Nde4iNjzyrN+GpymjHWH5XmB5RJwJPAZcDrxl1Dx3ANdGxO3AhcBPjtVfWZK6wfBNut3U4mlA6JyJBsBWAm83Xgy1cnHQim682FXntRyWM3MwIq4F7gIqwC2ZuSkirqlPvxG4E7gU2AYcAN7RarmSpp8yWpbaodtaPA0IndFKAGwl8HbjxVBZreHdeLGrzmtL7/XMvJNaIG4cd2PD6wTe1Y6yJE1PZbUs9SIDQme0EgBbCbzdeDFUZmt4t13stqpbGyXKNH1v9ZTUVbq1n2W36rWAUIZWAmArgbcbL4a6sTW8G5XZKNHNId2wrAnp5p1eU1PZ/Szdp9VurQTAVgNvt10Mtdoa7v/v2JTVKNHtnxwaljVu3b7Ta2oqs2XJfVqTodUA2G2BtxWtXBz4/zt2ZTVKdPsnh4ZljVu37/SamsrsZ+k+rcnQjd0hyjTRiwP/f8eurEaJsj85bJVheZzmzKyw4IT+jpQ11u+LmVnpI6nt8KN3xsnQ7Tu9pqYyg4X7dOf02sflvdQ6XBb/f8eurEaJbu+TblgepxOP7+fE4zsTlsdqdv2rIX/6jBMZrA5x8MUqBweqHBiocvDF2u92huhu3+k1dZUVLNynO8OPyzUZ/P8du1YbJSZ6sduNT2hpZFieZmZU+jih0scJx80cMb46lBwYGDwiSB96cfwhutt3+m7Sa61wZSlzn+6lv7Efl2syeE4an4k2SrRysdvtXZIMyz2i0heccNzMpiF6uNU5ycNdP4Z7gGRmw+uXJnzu/7iA7z70FFuffI4Vi07gtWefcsROn6P6kYzuVTKUydAQDA4NUR1KBoeSofrvav2n8XWvsRWuc8o6kPfa39iPyzUZuj2IdYtWL3a7uUuSYbnHVfricDeO8brs1ae1uTbFMl8Kz8fPqu22KxfPq088MuiPDvlZm2lk8B9+XR87ctzIsgFmzaxtpyUnziazFvYby6rNlgzlS2XmqNeN9WlW35fqkNz78F5+1OzAtHMvP33GiWPu066xKeNA3mstrX5crsnSzUGsW/Tyxa5hWV0hIphRCSKSQyedxcDxi1j/8DOsWbGQSodaD2bN6ANg6UlzOlLeP257ekSogNqBaWgo+dmfOvnwuOEw3yzsH57WsI5jXSgMm3tc7fCwaun8l4J/w3pHhPuCC4DR9WlWh8Z6FC4wevmjT37pAunw64Lt1KTejKp7UXlHbrPxX73s2f9C05PPnv0vcPLc/hHljP5bNfs7FteNcU2fiCP+hk38q7NP5q7NT/Dgk89x6MUhZs3s4xULT+Bnzzr58P9xs/1mZH3LvUo8ct8tnj56PypaZrxlSmXo5Ytdw7K6RnUoufLme9iz/FfJvhm8+4vfZ9XS+dx29YUdC8yddO7ieczur3BgoHp43Oz+ykst6nURUf/dbC0T2y7VoeSFE2sXJf/0o6c6elHSS163fAFfWr/ziL/x65Yv4BWLTiixZpPnf/7Wa1m3dTebd+1j5eJ57ltdpCj8vzR9AuucYF2Ous4JXOyO5WJvfHUY+/TGso924d704rFJOUXv5Wh1Olp1h+tw1oLjWffgbh54bB8vvFjluJkVXnnaPN68egmVvhh3I0izRpz+eqPUVGNYVtdYt3U3G3fsJSu1FrcDA1U27tjLuq27ueicRSXXrv3WrFjIqqXz2bhjLwcHqszur7Bq6XzWrFg4qeX22kVJmcr6G5ep0hdcdM6iafk/O91F8yvyhukdqsgxTZmKTDu3r31NT17sGpbVNTbt2sfBhhY4gIMDVTbv2jctT7yVvuC2qy/s+IGp1y5KylTW31iSJqJXL3YNy+oaY+2WMJ2UcWDqtYuSsvXqyUeSukVLnUMi4qSI+FZEPFT/fcTtkBGxNCL+V0RsiYhNEfGeVspU7xr+yHpOf4UA5nTwI+vqUHJg/k+x97TXcPeWJ6f1o+yGL0oaTfeLEkmSirTasnw9cHdmfjwirq8PXzdqnkHg/Zm5ISJOAO6LiG9l5uYWy1aPKesj617rw9uL/WglSSrSali+DFhTf30rsI5RYTkzHwcer79+LiK2AKcBhmWNWxkfWfdaH1770UqS9JJWw/KiehgmMx+PiKM2PUXEMuDVwD0tlit1TC/24bUfrSRJNccMyxHx98DLm0z6nfEUFBFzga8A783MfUeZby2wFuD0008fTxHSpOjFGwslSVLNMcNyZv6bomkR8WREnFpvVT4V2F0w30xqQfkvM/OrxyjvJuAmgNWrV0/fu6jUNezDK0lS72q1G8YdwFXAx+u//2b0DFF7ivnNwJbM/OMWy5M6zj68kiT1rlbD8seBL0XE1cCjwL8DiIjFwGcy81LgtcCVwA8jYmN9uQ9m5p0tli11jH14JUnqTS2F5cx8GrioyfhdwKX119/F756UJElSF2rpS0kkSZKk6cywLEmSJBUwLEuSJEkFDMuSJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFDMuSJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFDMuSJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFWgrLEXFSRHwrIh6q/z7xKPNWIuL7EfH1VsqUJEmSOqXVluXrgbszczlwd324yHuALS2WJ0mSJHVMq2H5MuDW+utbgTc2mykilgC/DHymxfIkSZKkjmk1LC/KzMcB6r8XFsz3SeC3gaEWy5MkSZI6ZsaxZoiIvwde3mTS74ylgIj4FWB3Zt4XEWvGMP9aYC3A6aefPpYiJEmSpElxzLCcmf+maFpEPBkRp2bm4xFxKrC7yWyvBX4tIi4FjgPmRcTnM/PfF5R3E3ATwOrVq3Msb0KSJEmaDK12w7gDuKr++irgb0bPkJkfyMwlmbkMuBz4dlFQliRJkqaSVsPyx4HXR8RDwOvrw0TE4oi4s9XKSZIkSWU6ZjeMo8nMp4GLmozfBVzaZPw6YF0rZUqSJEmd4jf4SZIkSQUMy5IkSVIBw7IkSZJUwLAsSZIkFTAsS5IkSQUMy5IkSVIBw3KXqw4lB+b/FHtPew13b3mS6pBfeihJktQuLT1nWeWqDiVX3nwPe5b/KkJjWfIAACAASURBVNk3g3d/8fusWjqf266+kEpflF09SZKkrmfLchdbt3U3G3fsJSv9EH0cGKiyccde1m3dXXbVJEmSpgXDchfbtGsfBweqI8YdHKiyede+kmokSZI0vRiWu9i5i+cxu78yYtzs/gorF88rqUaSJEnTi2G5i61ZsZBVS+czp79CAHP6K6xaOp81KxaWXTVJkqRpwRv8ulilL7jt6gtZt3U3m3ftY+XieaxZsdCb+yRJktrEsNzlKn3BRecs4qJzFpVdFUmSpGnHbhiSJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFIjPLrkOhiNgDPFJC0acAT5VQbjdyW42d22rs3Fbj4/YaO7fV2Lmtxs5tNXZTdVudkZkLmk2Y0mG5LBGxPjNXl12PbuC2Gju31di5rcbH7TV2bquxc1uNndtq7LpxW9kNQ5IkSSpgWJYkSZIKGJabu6nsCnQRt9XYua3Gzm01Pm6vsXNbjZ3bauzcVmPXddvKPsuSJElSAVuWJUmSpAKG5QYRcXFEbI2IbRFxfdn1meoi4uGI+GFEbIyI9WXXZyqJiFsiYndEPNAw7qSI+FZEPFT/fWKZdZwqCrbVRyPisfq+tTEiLi2zjlNFRCyNiP8VEVsiYlNEvKc+3n1rlKNsK/etUSLiuIj4fyPi/vq2+r36ePerUY6yrdyvCkREJSK+HxFfrw933X5lN4y6iKgADwKvB3YC9wJXZObmUis2hUXEw8DqzJyKz0ssVUT8a2A/8LnMfGV93P8FPJOZH69fjJ2YmdeVWc+poGBbfRTYn5n/d5l1m2oi4lTg1MzcEBEnAPcBbwTejvvWCEfZVr+O+9YIERHA8Zm5PyJmAt8F3gO8CferEY6yrS7G/aqpiPg/gdXAvMz8lW48F9qy/JILgG2ZuT0zB4DbgctKrpO6VGZ+B3hm1OjLgFvrr2+lduLueQXbSk1k5uOZuaH++jlgC3Aa7ltHOMq20ihZs78+OLP+k7hfHeEo20pNRMQS4JeBzzSM7rr9yrD8ktOAHQ3DO/HAeiwJ/F1E3BcRa8uuTBdYlJmPQ+1EDiwsuT5T3bUR8YN6N40p/zFdp0XEMuDVwD24bx3VqG0F7ltHqH9UvhHYDXwrM92vChRsK3C/auaTwG8DQw3jum6/Miy/JJqM82rx6F6bmecDlwDvqn+cLrXDnwNnAauAx4FPlFudqSUi5gJfAd6bmfvKrs9U1mRbuW81kZnVzFwFLAEuiIhXll2nqapgW7lfjRIRvwLszsz7yq5LqwzLL9kJLG0YXgLsKqkuXSEzd9V/7wb+J7WuLCr2ZL0f5XB/yt0l12fKyswn6yekIeB/4L51WL2f5FeAv8zMr9ZHu2810WxbuW8dXWbuBdZR64PrfnUUjdvK/aqp1wK/Vr+/6XbgFyPi83ThfmVYfsm9wPKIODMi+oHLgTtKrtOUFRHH12+aISKOB34JeODoS/W8O4Cr6q+vAv6mxLpMacMH0rp/i/sWcPjmopuBLZn5xw2T3LdGKdpW7ltHiogFETG//no28G+A/w/3qyMUbSv3qyNl5gcyc0lmLqOWqb6dmf+eLtyvZpRdgakiMwcj4lrgLqAC3JKZm0qu1lS2CPiftfMRM4AvZOY3y63S1BERXwTWAKdExE7gI8DHgS9FxNXAo8C/K6+GU0fBtloTEauodYV6GPjN0io4tbwWuBL4Yb3PJMAHcd9qpmhbXeG+dYRTgVvrT4XqA76UmV+PiH/G/Wq0om11m/vVmHXd8cpHx0mSJEkF7IYhSZIkFTAsS5IkSQUMy5IkSVIBw7IkSZJUwLAsSZIkFTAsS5IkSQUMy5IkSVIBw7IkjUFE7I+InxrDfMsiIiOip7/0KSLeHhHfbWH5b0TEVceeU5Iml2FZ0rQQEQ9HxMF6qH0yIv4iIuZOcF3rIuKdjeMyc25mbm9PbQ+X8WxEzBrnchkRZ7erHlNBRHw0Ij7fOC4zL8nMW8uqkyQNMyxLmk5+NTPnAucDPwN8aDwLR82kHxcjYhnwOmpfjftrk11eq5q1kvd6y7mk3mFYljTtZOZjwDeAV0bEiRHx9YjYU2/J/XpELBmet97C+18i4h+BA8Bt1ILsp+qt1J+qz3e4RTcifjkivh8R+yJiR0R8dJxVfBvwPeCzwIiuBqNbtRu7M0TEd+qj76/X7Tfq4/9DRGyLiGci4o6IWNyw/LkR8a36tCcj4oP18bMi4pMRsav+88nhVu6IWBMROyPiuoh4AviLeuvvlyPi8xGxD3h7RLwsIm6OiMcj4rGI+IOIqDR7wxHxp/VttS8i7ouI19XHXwx8EPiN+nu6f/R2iIi+iPhQRDwSEbsj4nMR8bL6tOFuL1dFxKMR8VRE/M44/x6SVMiwLGnaiYilwKXA96kd5/4COAM4HTgIfGrUIlcCa4ETgLcD/wBcW+96cW2TIp6nFnjnA78M/MeIeOM4qvg24C/rP2+IiEVjWSgz/3X95Xn1uv1VRPwi8IfArwOnAo8AtwNExAnA3wPfBBYDZwN319fxO8DPAquA84ALGNkS/3LgJGrbbW193GXAl+vv+y+BW4HB+npfDfwSMKL7SoN762WdBHwB+OuIOC4zvwl8DPir+ns6r8myb6///ALwU8Bcjvwb/hywArgI+HBEnFNQD0kaF8OypOnkaxGxF/gu8L+Bj2Xm05n5lcw8kJnPAf8F+PlRy302Mzdl5mBmvnisQjJzXWb+MDOHMvMHwBebrLOpiPg5agH0S5l5H/Aj4C1jf4tHeCtwS2ZuyMxDwAeA19S7evwK8ERmfiIzX8jM5zLznobl/nNm7s7MPcDvUbtoGDYEfCQzD2Xmwfq4f87Mr2XmEDAPuAR4b2Y+n5m7gT8BLm9Wycz8fP1vMZiZnwBmUQu3Y32Pf5yZ2zNzf/09Xj6qK8jvZebBzLwfuJ/aBYAktcw+Z5Kmkzdm5t83joiIOdRC3MXAifXRJ0REJTOr9eEd4ykkIi4EPg68EuinFvz+eoyLXwX8XWY+VR/+Qn3cn4ynDg0WAxuGBzJzf0Q8DZwGLKUWxouWe6Rh+JH6uGF7MvOFUcs0bqczgJnA4xExPK6Pgm0ZEe+n1uq8mFpf7XnAKYXv6th1nQE0tsg/0fD6ALXWZ0lqmS3Lkqa791NrwbwwM+cBw10ZomGeHLXM6OHRvgDcASzNzJcBN45aX1MRMZtad4mfj4gn6v2B3wecFxHDLaHPA3MaFnv5MVa7i1pwHS7jeOBk4DFqwfWssSxHrYvKrobhZtugcdwO4BBwSmbOr//My8xzRy9U7598HbX3fmJmzgd+wkvb7Fjbu1ldB4Enj7GcJLXMsCxpujuBWj/lvRFxEvCRMSzzJLW+sUdb5zOZ+UJEXMDYu1G8EagCK6n1310FnEOtj/Tb6vNsBN4UEXPqNxRefYy6fQF4R0Ssqt+g9zHgnsx8GPg68PKIeG/9hr4T6q3iUOs68qGIWBARpwAfBkY8vu1oMvNx4O+AT0TEvPpNeGdFRLPuKCdQC7d7gBkR8WFqLcuN72nZUZ5E8kXgfRFxZtQeBzjcx3lwrPWVpIkyLEua7j4JzAaeovYEim+OYZk/Bd5cf3rGDU2m/xbwnyPiOWoh80tjrMtVwF9k5qOZ+cTwD7Wb1d5a74P7J8AAtQB5K7Ub6Rp9FLg1IvZGxK9n5t3A7wJfAR6n1pJ8OUC9j/brgV+l1k3hIWo3yQH8AbAe+AHwQ2pdOf5gjO9j2NuodUPZDDxL7ea/U5vMdxe1p5M8SK0LxQuM7K4x3IXl6YjYwJFuofaUku8AP64v/+5x1lWSJiQyj/XplyRJktSbbFmWJEmSChiWJUmSpAKGZUmSJKmAYVmSJEkqYFiWJEmSCkzpb/A75ZRTctmyZWVXQ5IkSdPYfffd91RmLmg2bUqH5WXLlrF+/fqyqyFJkqRpLCIeKZpmNwxJkiSpgGFZkiRJKmBYliRJkgq0JSxHxC0RsTsiHiiYHhFxQ0Rsi4gfRMT57ShXkiRJmkztaln+LHDxUaZfAiyv/6wF/rxN5bZVdSi5e8uT3HD3Q9y95UmqQ1l2lSRJklSitjwNIzO/ExHLjjLLZcDnMjOB70XE/Ig4NTMfb0f57VAdSq68+R427tjLwYEqs/srrFo6n9uuvpBKX5RdPUmSJJWgU32WTwN2NAzvrI+bMtZt3c3GHXs5MFAlgQMDVTbu2Mu6rbvLrpokSZJK0qmw3Kxptmkfh4hYGxHrI2L9nj17JrlaL9m0ax8HB6ojxh0cqLJ5176O1UGSJElTS6fC8k5gacPwEmBXsxkz86bMXJ2ZqxcsaPpFKpPi3MXzmN1fGTFudn+FlYvndawOkiRJmlo6FZbvAN5WfyrGzwI/mUr9lQHWrFjIqqXzieoA5BBz6n2W16xYWHbVJEmSVJK23OAXEV8E1gCnRMRO4CPATIDMvBG4E7gU2AYcAN7RjnLbqdIX3Hb1hbzmTVczcPxCPvGh97FmxUJv7pMkSeph7XoaxhXHmJ7Au9pR1mSq9AVz9m5nzt7tXHTOorKrI0mSpJL5DX6SJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFDMuSJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFDMuSJElSAcOyJEmSVMCwLEmSJBUwLEuSJEkFDMuSJElSAcOyJEmSVMCwLEmSJBVoS1iOiIsjYmtEbIuI65tMf1lE/G1E3B8RmyLiHe0oV5IkSZpMLYfliKgAnwYuAVYCV0TEylGzvQvYnJnnAWuAT0REf6tlS5IkSZOpHS3LFwDbMnN7Zg4AtwOXjZongRMiIoC5wDPAYBvKliRJkiZNO8LyacCOhuGd9XGNPgWcA+wCfgi8JzOH2lC2JEmSNGnaEZajybgcNfwGYCOwGFgFfCoi5jVdWcTaiFgfEev37NnThupJkiRJE9OOsLwTWNowvIRaC3KjdwBfzZptwI+Bf9FsZZl5U2auzszVCxYsaEP1JEmSpIlpR1i+F1geEWfWb9q7HLhj1DyPAhcBRMQiYAWwvQ1lS5IkSZNmRqsryMzBiLgWuAuoALdk5qaIuKY+/Ubg94HPRsQPqXXbuC4zn2q1bEmSJGkytRyWATLzTuDOUeNubHi9C/ildpQlSZIkdYrf4CdJkiQVMCxLkiRJBQzLkiRJUgHDsiRJklTAsCxJkiQVMCxLkiRJBQzLkiRJUgHDsiRJklTAsCxJkiQVMCxLkiRJBQzLkiRJUgHDsiRJklTAsCxJkiQVMCxLkiRJBQzLkiRJUoG2hOWIuDgitkbEtoi4vmCeNRGxMSI2RcT/bke5kiRJ0mSa0eoKIqICfBp4PbATuDci7sjMzQ3zzAf+DLg4Mx+NiIWtlitJkiRNtna0LF8AbMvM7Zk5ANwOXDZqnrcAX83MRwEyc3cbypUkSZImVTvC8mnAjobhnfVxjV4BnBgR6yLivoh4W9HKImJtRKyPiPV79uxpQ/UkSZKkiWlHWI4m43LU8Azgp4FfBt4A/G5EvKLZyjLzpsxcnZmrFyxY0IbqSZIkSRPTcp9lai3JSxuGlwC7mszzVGY+DzwfEd8BzgMebEP5kiRJ0qRoR8vyvcDyiDgzIvqBy4E7Rs3zN8DrImJGRMwBLgS2tKFsSZIkadK03LKcmYMRcS1wF1ABbsnMTRFxTX36jZm5JSK+CfwAGAI+k5kPtFq2JEmSNJna0Q2DzLwTuHPUuBtHDf8R8EftKE+SJEnqBL/BT5IkSSpgWJYkSZIKGJYlSZKkAoZlSZIkqYBhWZIkSSpgWJYkSZIKGJYlSZKkAoZlSZIkqYBhWZIkSSpgWJYkSZIKGJYlSZKkAoZlSZIkqYBhWZIkSSpgWJYkSZIKtCUsR8TFEbE1IrZFxPVHme9nIqIaEW9uR7mSJEnSZGo5LEdEBfg0cAmwErgiIlYWzPdfgbtaLVOSJEnqhHa0LF8AbMvM7Zk5ANwOXNZkvncDXwF2t6FMSZIkadK1IyyfBuxoGN5ZH3dYRJwG/FvgxjaUJ0mSJHVEO8JyNBmXo4Y/CVyXmdVjrixibUSsj4j1e/bsaUP1JEmSpImZ0YZ17ASWNgwvAXaNmmc1cHtEAJwCXBoRg5n5tdEry8ybgJsAVq9ePTp0S5IkSR3TjrB8L7A8Is4EHgMuB97SOENmnjn8OiI+C3y9WVCWJEmSppKWw3JmDkbEtdSeclEBbsnMTRFxTX26/ZQlSZLUldrRskxm3gncOWpc05CcmW9vR5mSJEnSZPMb/CRJkqQChmVJkiSpgGFZkiRJKmBYliRJkgoYliVJkqQChmVJkiSpgGFZkiRJKmBYliRJkgoYliVJkqQChmVJkiSpgGFZkiRJKmBYliRJkgrMKLsCKk91KFm3dTebdu3j3MXzWLNiIZW+KLtakiRJU4ZhuUdVh5Irb76HjTv2cnCgyuz+CquWzue2qy80MEuSJNXZDaNHrdu6m4079nJgoEoCBwaqbNyxl3Vbd5ddNUmSpCmjLWE5Ii6OiK0RsS0irm8y/a0R8YP6zz9FxHntKFcTt2nXPg4OVEeMOzhQZfOufSXVSJIkaeppOSxHRAX4NHAJsBK4IiJWjprtx8DPZ+argN8Hbmq1XLXm3MXzmN1fGTFudn+FlYvnlVQjSZKkqacdLcsXANsyc3tmDgC3A5c1zpCZ/5SZz9YHvwcsaUO5asGaFQtZtXQ+UR2AHGJOvc/ymhULy66aJEnSlNGOsHwasKNheGd9XJGrgW8UTYyItRGxPiLW79mzpw3VUzOVvuC2qy9kwUN/y/yd/8h/u+LV3twnSZI0SjuehtEsXWXTGSN+gVpY/rmilWXmTdS7aaxevbrpetQelb5gzt7tzNm7nYvOWVR2dSRJkqacdoTlncDShuElwK7RM0XEq4DPAJdk5tNtKFeSJEmaVO3ohnEvsDwizoyIfuBy4I7GGSLidOCrwJWZ+WAbypQkSZImXcsty5k5GBHXAncBFeCWzNwUEdfUp98IfBg4GfiziAAYzMzVrZYtSZIkTaa2fINfZt4J3Dlq3I0Nr98JvLMdZUmSJEmd4jf4SZIkSQUMy5IkSVIBw7IkSZJUoC19lqXxqA4l67buZtOufZy7eB5rViz0y1AkSdKUZFhWR1WHkitvvoeNO/ZycKDK7PrXbPvtgZKkXtJKw5GNTp1lWFZHrdu6m4079nJgoArAgYEqG3fsZd3W3X6LoKRJY7jQVNJKw5GNTp1nWFZHbdq1j4P1oDzs4ECVzbv2GZYlTQrDhaaaVhqObHTqPG/wU0edu3ges/srI8bN7q+wcvG8kmokabprDBfJyHAhleFoDUeTuawmxpblCfjnHz1ddhXaZt/BF4HOvafjZlQ485Tj2fToU1CZwayZMzjzlOM5bkZlWm1XSVPHNx94omm4+OYDTzCn39OgOq8SQf+MPg4NDh0e1z+jj76IY54LW1m2G7zmrJPLrsIRbFlWR/X1BR+85Bzmbv4as3/8D/ynX1zOBy85hz4/CpU0SZadfDz9M0ae7vpn9LHs5ONLqtHkGxpKNjzyLF/dsJMNjzzL0FCWXaUpq4xttWrpfM5eOBcGByCHmDWjj7MXzmXV0vmTuqwmxkvqKWBoKNm4Yy8PP/08y04+nlVL50/r8NjXF/Q/vQ2e3sb5Z1xXdnU0hfTa/4I6YzhcNH6iNZ3DxdBQ8rFvbGHb7v0MDA7RXw9TNkwcqdVtNdFj1nDD0W++5/1U5y7i2mvWdmRZTYxhuWQe1DqnlSBmiJt8ZZ20NP31WrjYuGMv23bvP/wx/aHBIbbt3s/GHXs5/4wTS67d1NLKtmr1mNVKw5GNTp1lWC6ZB7XOaOWg5gVNZ5R50tL0143hYqIXgA8//TwDDf1ZAQYGh3j46ec9r4zSyrby/N07DMtt4kFtamvloOYBsTN69aTlJx5j10vvt5ULwOE+2qNvAOtEH+1u+xu1sq08f/eOtoTliLgY+FOgAnwmMz8+anrUp18KHADenpkb2lH2VNCtB7Ve0spBrdUDYredPMrSiyctP/EYu157v61cALbaR3uix6xu/Bu1sq08f/eOlp+GEREV4NPAJcBK4IqIWDlqtkuA5fWftcCft1ruVNJ4UEtGHtSOxbtaO6OVu+FbWXb45HHDtx/iy/ft5IZvP8THvrHFO9ObaOV/oVufdtDKsaOVZbtRr73fo10AHksrTx1q5ZjVjX+jVraV5+/e0Y5Hx10AbMvM7Zk5ANwOXDZqnsuAz2XN94D5EXFqG8qeEso6qGnsynpMTzeePMrSiyetVo4drSzbjXrt/bZ6ATjcR3v2I//I+WecOOZzSivHrG79G010W3n+7h2R2VoLV0S8Gbg4M99ZH74SuDAzr22Y5+vAxzPzu/Xhu4HrMnP90dZ90hnn5Os/eEtL9RuvjfdvBGDVeasK59n3wosjhp97YZDH9h6kcVNGwGnzZ3PCcWPr6fLQ5gcAWL7yleOscWt6qdzM5MFt26HSz+LFpzJ3VoVaD6HJW3bPc4d4av/AEeMXzO3nlBNmjfs99IKJ7hut/H3L0sqxox3HnW5S5nE2M9l/qMoLL1Y5bmalI/tWZvLoMwc5cOhFIIi+YPbMCqefNHvMZU/k/bZyzOrmfbKVc1K3LVvG/jyecucdN3PS69LMl675V/dl5upm09qx9zbbwqMT+Fjmqc0YsZZaVw3mnnpWazWbgKOF5CJzZ1WYPbPCwRerZNYODrPrO8JYtRIaW/ln66VyI4IVyye2T0102eNmVojgiJPHrJlj2zfKCPhlLgsT3zda+ftC6/WeyH7ZyrGj1eNOGe+3lWXLOs62Glonup0jgtNPms3+Q/0cerHKrAmEmom831aOWe34G5V1sdzKOambli3rIqwd5ZapHWF5J7C0YXgJsGsC8wCQmTcBNwGsXr06/+o3X9OGKrZXs6+TLPMmrnd94QMAfPi37+hIeb1a7kS04wauoePmQ2UGe547xMtmT99ly9SOek90vyzjaRitvt+hoeQ377qZ6txF/Mq//KVx17mVZTt9nN3wyLPc8O2HIGpdIjKhOpT86qtOG/MjDbvp/6Hs551P5P+oG7dzWVrZn4dN5G80nnLL+rrrL11TPK0dYfleYHlEnAk8BlwOvGXUPHcA10bE7cCFwE8y8/E2lD1l9PUF559x4pS+8346GBpKBk4+m+rcRWx45Nkp/2SJ4T5tEzl5DPcdZEY/MLHH3XXTsmUqs96tHDsmumwr73c4mOxf+UaozOCGbz807gvAiSwL5Rxn2/FIw276f2jlmDW8fKf/Rt24nctS1pODuvWJRcNavsEvMweBa4G7gC3AlzJzU0RcExHDOf1OYDuwDfgfwG+1Wq56T+OJ9uCZr+uaJ0sMnzzedP6Scd08UtbNX71401m31nuiWnm/I4JJ9E3oCR4TWbYsrdxo16371USPWWXp1u1chlZvHB1usDp4xmvZ8MizYz7/dusTi4a142kYZOadmfmKzDwrM/9LfdyNmXlj/XVm5rvq0//lsW7sk5rpxhNtK8p63F1Zy5aprBNIWcoKgN0YaoaftDJrRh8BPfFIw27jdh67VvbnVhqsWil3Kpjat6dKDbr9Y5zxGj64jO47OJ7H3XXTsmVqpd6tdi0oQyvvt5UvYujGL3FopVtCt/4/dBu389iV1TWw1e49ZTMsq2t044m2Fa0cXLpx2TKVdQIpS1kBsFtDzUT74Xbr/0O3cTuPz0T351YbrLr53i7DsrpGt55oW1HGzV9lLlumsk4gZSkjAPZiqOnW/4cytHIDt9t58vVag1Ujw7ImpIynUvTiiVZTXy+eQHrxYkqTqxu7M/WaXmywGmZY1riVeVDzRKupppdPIFK7dGN3pl7Tyw1WhuUJKOuB2UXmza59NWSn6nX3lif58VPPjzio/fip53lhsMpF5yzqSB2kqeSO/7+9Ow7V8jzvOP79eZJDTToxIdNo1LkWcbGF2SLNils51Dg6kzbZYKOFBgcB90cbUjbo0oWx7p8RxlbavwYu6XBp1lKWloQQuiW2MgpbliZxbfXUWUaY2XGeLkGsRJDqtT/OYz0e3+ec9/h4znte/X5A3ue531vv24uL573Oe+7nud/96xw4MsnhiVNsWbuCsc2rGLkOPkCkq+Xl19/quZzpfNWS+8y93m3fdNugp7DoLJY1b4cmTnHm7LlL2s6cPcfhiVMWy7oujSwLO+5cbf5LV+g9a1ewfHSEt6d9tiwfHWHL2hUDnJU05ao8Z1nXlwsXtem8qEmSrtTY5lVsXb+Sm0ZHCHDT6Ahb169kbPOqQU9N8ptlzd+Fi9rBYyc5c/Ycy72oSZI6GFkWnnzwLpczaUmyWNa8eVGTJF1tLmfSUmWxrCviRU2SJF0PXLMsSZIktbBYliRJklpYLEuSJEktLJYlSZKkFp2K5SS3JnkhydHm9bI9KZOsT/KdJONJDiV5uMuYkiRJ0mLp+s3yI8D+qtoE7G/OZ/oZ8EdVdSfwa8CnkmzpOK4kSZK04LoWy/cB+5rjfcD9MztU1fGqerU5/ikwDtzRcVxJkiRpwXUtlldX1XGYKoqBWbdwS7IReB/wUsdxJUmSpAU356YkSV4Ebu/x1qPzGSjJO4Gngc9U1alZ+u0B9gBs2LBhPkNIkiRJV9WcxXJV3d32XpITSdZU1fEka4DJln43MlUoP1VV35hjvL3AXoBt27bVXPOTJEmSFkrXZRjPArub493AMzM7JAnwBDBeVV/oOJ4kSZK0aLoWy48BO5McBXY25yRZm+T5ps924AHgw0kONn92dRxXkiRJWnBzLsOYTVW9Cezo0T4B7GqOvwukyziSJEnSILiDnyRJktTCYlmSJElqYbEsSZIktbBYliRJklpYLEuSJEktLJYlSZKkFhbLkiRJUguLZUmSJKmFxbIkSZLUwmJZkiRJamGxLEmSJLWwWJYkSZJaWCxLkiRJLSyWJUmSpBadiuUktyZ5IcnR5vWWgaN9mAAAB4VJREFUWfqOJHktyXNdxpQkSZIWS9dvlh8B9lfVJmB/c97mYWC843iSJEnSoulaLN8H7GuO9wH39+qUZB1wD/B4x/EkSZKkRdO1WF5dVccBmtdVLf2+CHwWON9xPEmSJGnR3DBXhyQvArf3eOvRfgZIci8wWVWvJBnro/8eYA/Ahg0b+hlCkiRJWhBzFstVdXfbe0lOJFlTVceTrAEme3TbDnwsyS7gHcCKJF+pqk+2jLcX2Auwbdu26uc/IUmSJC2ErsswngV2N8e7gWdmdqiqz1XVuqraCHwc+HZboSxJkiQtJV2L5ceAnUmOAjubc5KsTfJ818lJkiRJgzTnMozZVNWbwI4e7RPArh7tB4ADXcaUJEmSFos7+EmSJEktLJYlSZKkFhbLkiRJUguLZUmSJKmFxbIkSZLUwmJZkiRJamGxLEmSJLWwWB5y584Xb698Fyfv+CD7x09w7rw7hEuSJF0tnTYl0WCdO1888MRL/GTTR6llN/DQV19j6/qVPPngXYwsy6CnJ0mSNPT8ZnmIHTgyycFjJ6mRUcgy3j57joPHTnLgyOSgpyZJknRNsFgeYocmTnHm7LlL2s6cPcfhiVMDmpEkSdK1xWJ5iL1n7QqWj45c0rZ8dIQta1cMaEaSJEnXFovlITa2eRVb16/kptERAtw0OsLW9SsZ27xq0FOTJEm6JniD3xAbWRaefPAuDhyZ5PDEKbasXcHY5lXe3CdJknSVWCwPuZFlYcedq9lx5+pBT0WSJOma02kZRpJbk7yQ5GjzektLv5VJ/jHJj5KMJ/lgl3ElSZKkxdB1zfIjwP6q2gTsb857+RLwrar6FeBXgfGO40qSJEkLrmuxfB+wrzneB9w/s0OSFcCHgCcAqupsVZ3sOK4kSZK04LoWy6ur6jhA89rrMQzvAn4C/F2S15I8nuTmjuNKkiRJC27OG/ySvAjc3uOtR+cxxvuBh6rqpSRfYmq5xp+2jLcH2NOcnk5ypM9xrqbbgP8bwLjDyFj1z1j1z1jNj/Hqn7Hqn7Hqn7Hq31KN1S+1vZGquuJ/tSlkx6rqeJI1wIGq2jyjz+3Av1XVxub8N4BHquqeKx54gSX5XlVtG/Q8hoGx6p+x6p+xmh/j1T9j1T9j1T9j1b9hjFXXZRjPArub493AMzM7VNX/AseSXCiidwCHO44rSZIkLbiuxfJjwM4kR4GdzTlJ1iZ5flq/h4Cnknwf2Ar8RcdxJUmSpAXXaVOSqnqTqW+KZ7ZPALumnR8Ehukr972DnsAQMVb9M1b9M1bzY7z6Z6z6Z6z6Z6z6N3Sx6rRmWZIkSbqWdV2GIUmSJF2zLJanSfKRJEeS/DhJ226EaiR5PckPkhxM8r1Bz2cpSfLlJJNJfjitra/t4a83LbH6fJL/aXLrYJJds/0b14sk65N8J8l4kkNJHm7aza0ZZomVuTVDknck+fck/9HE6s+bdvNqhlliZV61SDLS7LPxXHM+dHnlMoxGkhHgP5m6UfEN4GXgE1XlkztaJHkd2FZVS/F5iQOV5EPAaeDvq+q9TdtfAm9V1WPND2O3VNUfD3KeS0FLrD4PnK6qvxrk3Jaa5hGda6rq1SS/ALzC1M6pv4+5dYlZYvV7mFuXSBLg5qo6neRG4LvAw8DvYF5dYpZYfQTzqqckf8jUfWsrqureYfws9Jvliz4A/Liq/quqzgJfY2o7b2nequpfgLdmNM+5Pfz1qCVW6qGqjlfVq83xT4Fx4A7MrcvMEivNUFNON6c3Nn8K8+oys8RKPSRZB9wDPD6teejyymL5ojuAY9PO38AL61wK+OckrzQ7L2p2/WwPr4s+neT7zTKNJf9rusWWZCPwPuAlzK1ZzYgVmFuXaX5VfhCYBF6oKvOqRUuswLzq5YvAZ4Hz09qGLq8sli9KjzZ/Wpzd9qp6P/BbwKeaX6dLV8PfAO9m6rnsx4G/Hux0lpYk7wSeBj5TVacGPZ+lrEeszK0equpcVW0F1gEfSPLeQc9pqWqJlXk1Q5J7gcmqemXQc+nKYvmiN4D1087XARMDmstQaJ6nTVVNAt9kaimL2p1o1lFeWE85OeD5LFlVdaL5QDoP/C3m1s816ySfBp6qqm80zeZWD71iZW7NrqpOAgeYWoNrXs1ieqzMq562Ax9r7m/6GvDhJF9hCPPKYvmil4FNSX45ySjwcaa281YPSW5ubpohyc3AbwI/nP1vXffm3B5eUy5cSBu/jbkF/PzmoieA8ar6wrS3zK0Z2mJlbl0uyS8mWdkcLwfuBn6EeXWZtliZV5erqs9V1bqq2shUTfXtqvokQ5hXnXbwu5ZU1c+SfBr4J2AE+HJVHRrwtJay1cA3pz6PuAH4h6r61mCntHQk+SowBtyW5A3gz5jaDv7rSR4E/hv43cHNcOloidVYkq1MLYV6HfiDgU1wadkOPAD8oFkzCfAnmFu9tMXqE+bWZdYA+5qnQi0Dvl5VzyX5V8yrmdpi9aR51behu1756DhJkiSphcswJEmSpBYWy5IkSVILi2VJkiSphcWyJEmS1MJiWZIkSWphsSxJkiS1sFiWJEmSWlgsS5IkSS3+H8JWlIK4hz+dAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC           Q      Prob(>Q)\n",
      "lag                                     \n",
      "1.0   0.254921   32.687677  1.082212e-08\n",
      "2.0  -0.172416   47.670746  4.450707e-11\n",
      "3.0  -0.420945  137.159392  1.548466e-29\n",
      "4.0  -0.046875  138.271301  6.617704e-29\n",
      "5.0   0.103240  143.675907  2.958722e-29\n",
      "6.0   0.214864  167.132998  1.823719e-33\n",
      "7.0  -0.000889  167.133400  1.009206e-32\n",
      "8.0  -0.045418  168.185752  3.094836e-32\n",
      "9.0  -0.061445  170.115802  5.837217e-32\n",
      "10.0  0.034623  170.729854  1.958737e-31\n",
      "11.0  0.006351  170.750556  8.267056e-31\n",
      "12.0 -0.012882  170.835909  3.220234e-30\n",
      "13.0 -0.053959  172.336547  6.181197e-30\n",
      "14.0 -0.016606  172.478964  2.160215e-29\n",
      "15.0  0.051742  173.864487  4.089547e-29\n",
      "16.0  0.078917  177.094280  3.217936e-29\n",
      "17.0 -0.001834  177.096028  1.093168e-28\n",
      "18.0 -0.101604  182.471937  3.103824e-29\n",
      "19.0 -0.057342  184.187771  4.624067e-29\n",
      "20.0  0.026975  184.568285  1.235671e-28\n",
      "21.0  0.062359  186.605962  1.530259e-28\n",
      "22.0 -0.009400  186.652364  4.548196e-28\n",
      "23.0 -0.068037  189.088184  4.562011e-28\n",
      "24.0 -0.035566  189.755201  9.901096e-28\n",
      "25.0  0.095679  194.592622  3.354290e-28\n",
      "26.0  0.065650  196.874876  3.487623e-28\n",
      "27.0 -0.018404  197.054612  9.008749e-28\n",
      "28.0 -0.079244  200.394008  5.773714e-28\n",
      "29.0  0.008499  200.432501  1.541386e-27\n",
      "30.0  0.053372  201.953775  2.133192e-27\n",
      "31.0  0.074816  204.949394  1.550162e-27\n",
      "32.0 -0.071187  207.667241  1.262289e-27\n",
      "33.0 -0.088145  211.843155  5.480817e-28\n",
      "34.0 -0.025283  212.187449  1.215228e-27\n",
      "35.0  0.125690  220.714897  8.231613e-29\n",
      "36.0  0.142724  231.734118  1.923082e-30\n",
      "37.0  0.095768  236.706160  5.937782e-31\n",
      "38.0 -0.084744  240.607802  2.890887e-31\n",
      "39.0 -0.150126  252.878983  3.963000e-33\n",
      "40.0 -0.083767  256.707740  1.996172e-33\n"
     ]
    }
   ],
   "source": [
    "arma11 = sm.tsa.ARMA(arma_rvs, (1,1)).fit(disp=False)\n",
    "resid = arma11.resid\n",
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), 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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q  Prob(>Q)\n",
      "lag                                \n",
      "1.0  -0.007889   0.031302  0.859567\n",
      "2.0   0.004132   0.039907  0.980244\n",
      "3.0   0.018103   0.205418  0.976710\n",
      "4.0  -0.006760   0.228543  0.993948\n",
      "5.0   0.018120   0.395028  0.995465\n",
      "6.0   0.050688   1.700454  0.945086\n",
      "7.0   0.010252   1.753962  0.972196\n",
      "8.0  -0.011206   1.818023  0.986091\n",
      "9.0   0.020292   2.028522  0.991008\n",
      "10.0  0.001029   2.029065  0.996113\n",
      "11.0 -0.014035   2.130174  0.997984\n",
      "12.0 -0.023858   2.422929  0.998427\n",
      "13.0 -0.002108   2.425220  0.999339\n",
      "14.0 -0.018783   2.607432  0.999590\n",
      "15.0  0.011316   2.673700  0.999805\n",
      "16.0  0.042159   3.595423  0.999443\n",
      "17.0  0.007943   3.628208  0.999734\n",
      "18.0 -0.074311   6.503855  0.993686\n",
      "19.0 -0.023379   6.789068  0.995256\n",
      "20.0  0.002398   6.792074  0.997313\n",
      "21.0  0.000487   6.792198  0.998516\n",
      "22.0  0.017953   6.961436  0.999024\n",
      "23.0 -0.038576   7.744467  0.998744\n",
      "24.0 -0.029816   8.213250  0.998859\n",
      "25.0  0.077850  11.415822  0.990675\n",
      "26.0  0.040408  12.280446  0.989479\n",
      "27.0 -0.018612  12.464274  0.992262\n",
      "28.0 -0.014764  12.580184  0.994586\n",
      "29.0  0.017649  12.746188  0.996111\n",
      "30.0 -0.005486  12.762261  0.997504\n",
      "31.0  0.058256  14.578540  0.994614\n",
      "32.0 -0.040840  15.473079  0.993887\n",
      "33.0 -0.019493  15.677305  0.995393\n",
      "34.0  0.037269  16.425462  0.995214\n",
      "35.0  0.086212  20.437443  0.976296\n",
      "36.0  0.041271  21.358841  0.974774\n",
      "37.0  0.078704  24.716872  0.938949\n",
      "38.0 -0.029729  25.197050  0.944895\n",
      "39.0 -0.078397  28.543385  0.891179\n",
      "40.0 -0.014466  28.657575  0.909268\n"
     ]
    }
   ],
   "source": [
    "arma41 = sm.tsa.ARMA(arma_rvs, (4,1)).fit(disp=False)\n",
    "resid = arma41.resid\n",
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), 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": {},
   "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.990432818833742\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": "3.8.4rc1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
