{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": "# ARMA Model — System Identification Walkthrough\n\nThis notebook demonstrates the four-step system identification process for a univariate time series using the **ARMA** model class.\n\n| Step | Task | Tool |\n|------|------|------|\n| 1 | Choose a model class | Domain knowledge |\n| 2 | Select model order | `uniAnal` — ACF, PACF, GPAC |\n| 3 | Estimate parameters | `estimate`, `pmoddisp` |\n| 4 | Validate the model | `uniAnal` on residuals, `uniChi` |\n\n**Dataset:** Box-Jenkins Series A — Chemical Concentration (197 observations)", "id": "7b1096dd151c445f" }, { "metadata": {}, "cell_type": "markdown", "source": [ "\n", "The ARMA($n_d$, $n_c$) model is\n", "\n", "$$D(q)\\,y(t) = C(q)\\,e(t)$$\n", "\n", "where\n", "\n", "$$D(q) = 1 + d_1 q^{-1} + \\cdots + d_{n_d} q^{-n_d}$$\n", "\n", "and\n", "\n", "$$C(q) = 1 + c_1 q^{-1} + \\cdots + c_{n_c} q^{-n_c}$$\n", "\n", "The noise is modeled by the transfer function $H(q) = C(q)/D(q)$." ], "id": "691545cdbfa38421" }, { "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:48:25.687205Z", "start_time": "2026-06-09T23:48:25.072130Z" } }, "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import sys\n", "import os\n", "import pandas as pd\n", "\n", "# Add TimeSeries root directory to path\n", "current_dir = os.getcwd()\n", "timeseries_root = os.path.abspath(os.path.join(current_dir, '..', '..', '..'))\n", "if timeseries_root not in sys.path:\n", " sys.path.insert(0, timeseries_root)\n", "\n", "from TimeSeriesSRC.Model.model import pmodel\n", "from TimeSeriesSRC.Model.estimate import estimate\n", "from TimeSeriesSRC.Model.selpmod import func_selpmod as selpmod\n", "from TimeSeriesSRC.basefunctions.uniAnal import func_uniAnal as uniAnal\n", "from TimeSeriesSRC.basefunctions.uniChi import func_uniChi as uniChi\n", "from TimeSeriesSRC.basefunctions.partoacf import func_partoacf_pmod as partoacf_pmod\n", "from TimeSeriesSRC.Model.pmodmse import func_pmodmse as pmodmse\n", "from TimeSeriesSRC.Model.pmoddisp import func_pmoddisp as pmoddisp\n", "from TimeSeriesSRC.Model.pmoddisp import func_pmodpzplot as pmodpzplot\n", "\n", "np.random.seed(42)\n", "print('Setup complete.')\n", "\n" ], "id": "edc82e1633674025", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setup complete.\n" ] } ], "execution_count": 2 }, { "metadata": {}, "cell_type": "markdown", "source": "## Series A — Chemical Concentration\n\nBox-Jenkins Series A is a univariate time series of 197 concentration measurements from a chemical process. There is no observed external input, making the ARMA class the natural starting point. The series mean is removed before modeling.", "id": "ca1a0ddbaf606952" }, { "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:48:27.965929Z", "start_time": "2026-06-09T23:48:27.949540Z" } }, "cell_type": "code", "source": [ "data_path = os.path.join(timeseries_root, 'TimeSeriesSRC', 'TestData', 'Series_A_Chemical_Concentration.csv')\n", "df = pd.read_csv(data_path)\n", "y = np.array(df['Concentration'])\n" ], "id": "daf17c33480202b6", "outputs": [], "execution_count": 3 }, { "metadata": {}, "cell_type": "markdown", "source": "## Step 1 — Choose a Model Class\n\nWith no external input, the general prediction model $y(t) = G(q)u(t) + H(q)e(t)$ reduces to a pure noise model:\n\n$$y(t) = H(q)\\,e(t) = \\frac{C(q)}{D(q)}\\,e(t)$$\n\nThis is the **ARMA($n_d$, $n_c$)** model, where $D(q)$ is the autoregressive polynomial of order $n_d$ and $C(q)$ is the moving average polynomial of order $n_c$. The orders are determined in Step 2.", "id": "c24c1251cb47d16c" }, { "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:10.849605Z", "start_time": "2026-06-09T18:47:10.761214Z" } }, "cell_type": "code", "source": [ "y = y - np.mean(y)\n", "N = y.size\n", "print(f'Loaded chemical process data: N={N} samples')\n", "print(f'y: mean={y.mean():.2e}, std={y.std():.3f}')\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(12, 5))\n", "ax.plot(y)\n", "ax.set_title('Process sequence y(t) — Concentration')\n", "ax.set_xlabel('t')\n", "ax.set_ylabel('Concentration')\n", "ax.set_xlabel('Sample')\n", "plt.tight_layout()\n", "plt.show()" ], "id": "e361ae69ade82fb6", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded chemical process data: N=197 samples\n", "y: mean=-2.74e-15, std=0.398\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 3 }, { "cell_type": "markdown", "id": "486d07ce", "source": "## Step 2 — Select Model Order\n\n`uniAnal` computes the ACF, PACF, and Generalized Partial Autocorrelation (GPAC) of the series.\n\n- **ACF** — exponential or oscillatory decay suggests AR behaviour; a sharp cutoff at lag $n_c$ suggests a pure MA model.\n- **PACF** — cuts off sharply after lag $n_d$ for a pure AR model; decays slowly for a pure MA model.\n- **GPAC** — the primary tool for ARMA order identification. A column of approximately constant (near-zero) entries identifies the AR order $n_d$; the row at which the constant pattern begins identifies the MA order $n_c$.", "metadata": {} }, { "cell_type": "code", "id": "02153a55", "source": "acf, pacf, gpac = uniAnal(y, na=20, nump=10, nrg=6, ncg=6)", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:14.531575Z", "start_time": "2026-06-09T18:47:14.388755Z" } }, "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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68UNNry8iueJVsUR2ZMOGDRBC4D//+Q/+85//GLy/efNmvP3223BwcIBarQYAyXlwQMUFTlne3t4oLCzEzZs3JcWdEAKpqan6k+OL37t69SoCAgLKnRcApKSkGLx3/fp1+Pj4SNoqusdZ2ffq1KkDBwcHREZGljtqGBQUVO78Pv30U4wZMwbvvvuupP3WrVvw8vIqd7qKlF7esgWQseW1pNLbgkql0rebsi2UVa9ePYOLGqrCltYXkT3jiB2RnSgqKsLmzZvRrFkzxMfHG7xee+01pKSkYN++fQB0VzcCwJkzZyTz2b17t8G8i3/sy452FF+JWvaE9B07diA7O1v/fkREBBwcHLB69epy8w8LC4OLi4vBvK5evYoDBw7o52UOV1dX9OnTB6dPn0a7du0MRq5CQkKMjvAUUygUkoIHAL755htcu3ZN0lbeejKmb9++AAzXXWJiIpKTk6u0vKYqb1v4+uuvzZ7ngAEDEB8fr7+4xBh7XV9E9owjdkR2Yt++fbh+/ToWLVqE3r17G7zfpk0brFixAuvXr8fgwYPh5+eHRx99FDExMahTpw4CAwPx/fff48svvzSYtm3btgCARYsWYcCAAXBwcEC7du3Qr18/9O/fHzNmzEBGRga6deuGM2fOYN68eejYsSMiIyMB6AqH2bNn46233sK9e/fw3HPPQaPR4LfffsOtW7ewYMECeHl5Ye7cuZg9ezbGjBmD5557Drdv38aCBQugVqsxb968Kq2fjz76CN27d0ePHj3w8ssvo0mTJsjMzMSff/6Jr7/+Wn++oDGDBw/Gpk2b0LJlS7Rr1w6nTp3CkiVLDEaOmjVrBhcXF3z22WcIDg6Gu7s7/P39jR7ybNGiBV588UUsX74cSqUSAwYMwMWLFzF37lwEBARg+vTpVVpeUwwcOBB169bFuHHjsHDhQjg6OmLTpk24cuWK2fNcuHAh9u3bh549e2L27Nlo27Yt0tLSsH//fkRHR6Nly5Z2u76I7JqVL94gokoaNmyYcHZ2Fjdu3Cg3ZsSIEcLR0VGkpqYKIYRISUkRTz31lKhbt67QaDRi9OjR4uTJkwZXKubl5Ynx48eLevXqCYVCIblS8t69e2LGjBkiMDBQODk5iQYNGoiXX35Z3L171+Dzt2zZIjp37izUarVwd3cXHTt2NLgi8uOPPxbt2rUTzs7OQqPRiMcff1ycPXtWEhMVFSXc3NyMLiMAMXnyZKPvXbhwQbzwwguiYcOGwsnJSdSrV0+Eh4eLt99+WxJTdvnv3r0rxo0bJ+rXry9cXV1F9+7dxZEjR0SvXr1Er169JJ+xbds20bJlS+Hk5CQAiHnz5gkhjF95WlRUJBYtWiQeeugh4eTkJHx8fMTo0aPFlStXJHG9evUSrVu3NlieqKgoERgYaHRZSwsMDBSDBg2qMObEiRMiPDxcuLm5iYYNG4p58+aJjz/+2OhVscbmZWxdXLlyRbzwwgvCz89PODk5CX9/f/HMM8+Iv//+Wx9ji+uLSM4UQghhtaqSiIiIiKoNz7EjIiIikgkWdkREREQywcKOiIiISCZY2BERERHJBAs7IiIiIplgYUdEREQkE7K7QbFWq8X169fh4eFR4SOJiIiIiOyBEAKZmZnw9/eHUlnxmJzsCrvr16+X+6xKIiIiInt15coVgyfilCW7ws7DwwOAbuE9PT2tnA0RERFR1WRkZCAgIEBf41REdoVd8eFXT09PFnZEZDFarUDyNYG0LMDLHQhuqIBSydM/iMhyKnOKmewKOyIiS0s4r8WmA1rcySppq+sOjO2rRGhzXpNGRNbDPRARkQkSzmsRu1ta1AHAnSwgdrcWCee11kmMiAgs7IiIKk2rFdh0oOLCbXO8FlqtqKGMiIikWNgREVVS8jVhMFJX1u1MXRwRkTWwsCMiqqS0BxR1psYREVU3FnZERJXk5V69cURE1a3Khd2qVasQFBQEtVqNTp064ciRI+XGpqSkYOTIkWjRogWUSiWmTZtmELNp0yYoFAqDV25ublVTJSKqkuCGCtR9QNHm7aGLIyKyhioVdtu3b8e0adMwZ84cnD59Gj169MCAAQNw+fJlo/F5eXmoV68e5syZg/bt25c7X09PT6SkpEhearW6KqkSEVWZUqnA2L4V7zaj+ih5PzsispoqFXaxsbEYN24cxo8fj+DgYCxduhQBAQFYvXq10fgmTZrgo48+wpgxY6DRaMqdr0KhgJ+fn+RFRGQLQpsrET1UiTplRu68PYDoobyPHRFZl9l7oPz8fJw6dQoRERGS9oiICBw9erRKSWVlZSEwMBCNGjXC4MGDcfr06XJj8/LykJGRIXkREVlSaHMlYseW7D5nPqHEivEOLOqIyOrM3gvdunULRUVF8PX1lbT7+voiNTXV7IRatmyJTZs2Yffu3di2bRvUajW6deuG8+fPG42PiYmBRqPRvwICAsz+bCKiyip9uDW4ER8nRkS2ocr/vCz73DIhRKWeZVaerl27YvTo0Wjfvj169OiBL774Ag899BCWL19uNH7WrFlIT0/Xv65cuWL2ZxMRERHZM7OfFevj4wMHBweD0bkbN24YjOJVhVKpROfOncsdsVOpVFCpVNX2eURERET2yuwRO2dnZ3Tq1AlxcXGS9ri4OISHh1c5sWJCCCQlJaFBgwbVNk8iIiIiOTJ7xA4AoqOjERkZiZCQEISFhWHt2rW4fPkyJk6cCEB3mPTatWvYsmWLfpqkpCQAugskbt68iaSkJDg7O6NVq1YAgAULFqBr165o3rw5MjIysGzZMiQlJWHlypVVSZWIiIhI9qpU2D377LO4ffs2Fi5ciJSUFLRp0wZ79+5FYGAgAN0Nicve065jx476/z916hS2bt2KwMBAXLx4EQCQlpaGF198EampqdBoNOjYsSMOHz6MLl26VCVVIiIiItlTCCFk9bTqjIwMaDQapKenw9PT09rpEJFM5RYIRC0rAgBsnuoAtROviiUiyzCltuFNl4iIiIhkgoUdERERkUywsCMiIiKSCRZ2RERERDLBwo6IiIhIJljYEREREckECzsiIiIimWBhR0RERCQTLOyIiIiIZIKFHREREZFMsLAjIiIikgkWdkREREQywcKOiIiISCZY2BERERHJBAs7IiIiIplgYUdEREQkEyzsiIiIiGSChR0RERGRTLCwIyIiIpIJFnZEREREMsHCjoiIiEgmWNgRERERyQQLOyIiIiKZqHJht2rVKgQFBUGtVqNTp044cuRIubEpKSkYOXIkWrRoAaVSiWnTphmN27FjB1q1agWVSoVWrVph586dVU2TiIiISPaqVNht374d06ZNw5w5c3D69Gn06NEDAwYMwOXLl43G5+XloV69epgzZw7at29vNObYsWN49tlnERkZiZ9//hmRkZF45plnkJCQUJVUiYiIiGRPIYQQ5k4cGhqKhx9+GKtXr9a3BQcHY9iwYYiJialw2t69e6NDhw5YunSppP3ZZ59FRkYG9u3bp2977LHHUKdOHWzbtu2BOWVkZECj0SA9PR2enp6mLRARUSXlFghELSsCAGye6gC1k8LKGRGRXJlS25g9Ypefn49Tp04hIiJC0h4REYGjR4+aO1scO3bMYJ79+/cvd555eXnIyMiQvIiIiIhqI7MLu1u3bqGoqAi+vr6Sdl9fX6SmppqdUGpqqknzjImJgUaj0b8CAgLM/mwiIiIie1bliycUCunhByGEQZsl5zlr1iykp6frX1euXKnSZxMRERHZK0dzJ/Tx8YGDg4PBSNqNGzcMRtxM4efnZ9I8VSoVVCqV2Z9HRAQAWq1A8jWBtCzAyx0IbqiAUlk9581Zct5ERKWZXdg5OzujU6dOiIuLw/Dhw/XtcXFxePzxx81OKCwsDHFxcZg+fbq+7bvvvkN4eLjZ8yQiqkjCeS02HdDiTlZJW113YGxfJUKbV+3AhiXnTURUltmFHQBER0cjMjISISEhCAsLw9q1a3H58mVMnDgRgO4w6bVr17Blyxb9NElJSQCArKws3Lx5E0lJSXB2dkarVq0AAK+++ip69uyJRYsW4fHHH8dXX32F//73v/jhhx+qkioRkVEJ57WI3a01aL+TBcTu1iJ6KMwuwCw5byIiY6pU2D377LO4ffs2Fi5ciJSUFLRp0wZ79+5FYGAgAN0Nicve065jx476/z916hS2bt2KwMBAXLx4EQAQHh6Ozz//HG+88Qbmzp2LZs2aYfv27QgNDa1KqkREBrRagU0HDAuv0jbHa9G5memHTi05byKi8lTpPna2iPexI6LKOntFi4VfVFx8AcCbzyjROkA6svag+9hVZd5ERKXVyH3siIjsXVrWg2NMiaupeRMRlYeFHRHVWl7u1RtXU/MmIioPCzsiqrWCGypQ9wGFlbeHLs6W5k1EVB4WdkQkS1qtwNkrWvyYrMXZK1potYanEyuVCoztW/FuMKqP0qyLG6oy78rkTkRkTJWuiiUiskWm3DsutLkS0UOBjQe0uFsq3ttDV3hV5XYk5syb970joqrgXoKIZKX43nF3ylyUUHzvuITzhleqhjZXInZsye5w5hNKrBjvUC2FlCnzNid3IqLSWNgRkWxU9t5x5R2WLRbcqHrvLVeZeVcldyKiYizsiEg2kq8Jg9Gusm5n6uJsjT3nTkS2g4UdEcmGPd87zp5zJyLbwcKOiGTDnu8dZ8+5E5HtYGFHRLJhz/eOs+fcich2sLAjItmw5H3pLM2ecyci28HCjohkRXfvOCXqlBn98vYAoofa9r3g7Dl3IrINvEExEclOaHMl2jYGnl+hu33IzCeUaB9YvbcwsRR7zp2IrI+FHRHZDa1WIPmaQFqW7iKC4IblFzyWvC+dpZmauynrhYjkjYUdUS1jr0UAH7VlnL2vF3vdHolsFQs7olrEXouA4kdtlVX8qK3oobDp/C3F3teLvW6PRLaM3xyiWsJen0PKR20ZZ+/rxV63RyJbx8KOqBaw5yKAj9oyzp7Xiz1vj0S2joUdUS1gq0WAVitw9ooWPyZrcfaK8R9yPmrLuKqsl8qsd0uy1e2RSA54jh1RLVDVIsASJ7dX9vwqPmrLOHPXi6XPa6vM9sJinchyWNgR1QK2VgSYctJ/8aO2KhrhqY2P2jJnvVj6YgsW60TWx0OxRLWAOc8hNefk9soc4jP1/Co+ass4U9eLuee1VfawrSnbC5+LS2Q5HLEjsnOVOfRVXAQYG60pZk4R0LlZyWdVdrTGlPOrWgfo5q171Baw8YAWd0tN6+2hy7u23hrDlPViznqvbJ+aur2Yuj2W/hze846oYlXeG65atQpBQUFQq9Xo1KkTjhw5UmH8oUOH0KlTJ6jVajRt2hRr1qyRvL9p0yYoFAqDV25ublVTJZKdhPNaTF5XhIVfaLFsrxYLv9D9bWw0zZTnkJp6crspozXmnl8V2lyJ2LElOc58QokV4x1qbVFXrLLrxdT1bkqfmnMxhKnPxTVlWyeqzaq0R9y+fTumTZuGOXPm4PTp0+jRowcGDBiAy5cvG42/cOECBg4ciB49euD06dOYPXs2pk6dih07dkjiPD09kZKSInmp1eqqpEpkNyxx6KuYJYoAUw/xVeX8Knt+TJglVWa9mLLeTe1TSxfr5t7zztpX/xJZQ5UOxcbGxmLcuHEYP348AGDp0qX49ttvsXr1asTExBjEr1mzBo0bN8bSpUsBAMHBwTh58iTef/99PPnkk/o4hUIBPz+/qqRGZJcsdeirtOouAkw9xMeLIazDlPVuap9aslg3d1vnUy2otjJ7687Pz8epU6cQEREhaY+IiMDRo0eNTnPs2DGD+P79++PkyZMoKCjQt2VlZSEwMBCNGjXC4MGDcfr06XLzyMvLQ0ZGhuRFZI8sfejLFKac3G7qaA0vhrAOU9a7qX1qyYshzNnW+VQLqs3MLuxu3bqFoqIi+Pr6Stp9fX2RmppqdJrU1FSj8YWFhbh16xYAoGXLlti0aRN2796Nbdu2Qa1Wo1u3bjh//rzRecbExECj0ehfAQEB5i4SkdXU1KGvyjKlCDBntMbU86uoelR2vZvap5Ys1k3d1vlUC6rtqrz3VCikX1QhhEHbg+JLt3ft2hWjR49G+/bt0aNHD3zxxRd46KGHsHz5cqPzmzVrFtLT0/WvK1euVGVxiKzC1FGJmrgPWGWLAHNHa3gxhHVUZr2b06eWKtZN3db5VAuq7cw+x87HxwcODg4Go3M3btwwGJUr5ufnZzTe0dER3t7eRqdRKpXo3LlzuSN2KpUKKpXKjCUgqjkPuk2DuYe+LH2eWmhzJdo2Bp5foRsBmfmEEu0Dpbmbe+uK4mmL8WKImvOg9W5un1ZmezGVqdu6LT5lhagmmV3YOTs7o1OnToiLi8Pw4cP17XFxcXj88ceNThMWFoavv/5a0vbdd98hJCQETk5ORqcRQiApKQlt27Y1N1Uiq6rMSdzmHvoyp5gyVWWKL95nTn7M7dPqLtZN3dZt7SkrRDWtSltrdHQ0Pv74Y2zYsAHJycmYPn06Ll++jIkTJwLQHSYdM2aMPn7ixIm4dOkSoqOjkZycjA0bNmD9+vV4/fXX9TELFizAt99+i7/++gtJSUkYN24ckpKS9POk2sseb11Q2ZO4benQl7l4aFV+bKVPTdnWa+opK7bGHvePZBlVut3Js88+i9u3b2PhwoVISUlBmzZtsHfvXgQGBgIAUlJSJPe0CwoKwt69ezF9+nSsXLkS/v7+WLZsmeRWJ2lpaXjxxReRmpoKjUaDjh074vDhw+jSpUtVUiU7Z4//mjb1Ng22cuirKnhoVX5spU8ru63XxFNWbI097h/Jcqr8SLFJkyZh0qRJRt/btGmTQVuvXr3w008/lTu/Dz/8EB9++GFV0yIZsfSDyy3F1HuB2cqhLyJbVdlt3dKPWrMl9rp/JMvhs2LJptnzv6bNOYnb1kbgiOxVZb9Llr51kCXZ8/6RLIeFXS1j6lVf1r5KzJ7/NW3uSdwcgSOqHtX9lBVbY6v7R1N+N6z9GyNHLOxqEVPPw7CF8zZs9dYFlZk3H51FZPvM/Z5auiCpzPxtcbTRlN8NW/iNkSMWdjbIEjsMU8/DMOe8DUvkbYu3LqjsvGvyliREZB5zvqeWLkgqO/+aGm2s7L7dlN+Nmjo3sDaOCLKwszGW2GGYeh6GOedtWGpHZ86/pi25wzB13ry/G5HtM+V7aumCxJT518RRgcru20353QBQI+cG1tYRQfkumR2y1L2UTH3EjqnxlrwHlKnPoDT3OZGVuQeUufO2lXuBEVH5KvM9rcpzaC2xj7HkM3oB0/btpvxu1MRj3+Rwb0JzccTORljy6iZTz8MwJb4mrsqy9K0LKvuvuqqcqMwLIohs34O+p+buAyy5j7HUUQFT9+2WON/P3HMDa/vVwhwysBGW/BeMqedhmBJfUw/cruyol6k7F1P+VWeLJyoTUc0xZx9QE/sYSxwVMHXfbsrvhqXPDayp3yVbxcLORpj7ha7M8L6pj9gxJb6qV62a8gic6r51gamHPez5tghEVHWm7gNqch9jylGByux7Td23m/K7Yc5j3yyZu9zwUKyNMOcLbamrM02J93Kv3L94auqqVVNOJjb1sAdvX0JUu5m6D7DFfYylrrg19XfGnDsG2NrVwraKI3ZVkZ2te4lSxU1+vq4tL894rLbUhlxQoGvLzZX8C0aVlw1VXjYUpWIdigrQwDkbwd66+RYP72fdybkfWwRAt0NYujMfiT9nAvfu6acPba7E6/1y4etUEgsA9VwL8fqj9xDaSJpvaKM8vP7oPXi7FOrbFNoiNHDOxmsReZKrsnyd70GVlw1lkTRWlZcN5/wc6Y4oNxeJP2fio515+i9ncWzWnRzpoYncXN36KSgoNV8tVHn312VpeXlAdjaUhQX6k4mLY1V50tix3QqgvJeD9Dv5JY1ClMSW6k+Hwnxk3MgG8vNLTlSuIPb50HtQFuRD4n7fl+7PB20ninK2E4mcHF17UZFZscqiQl1bqe0EgO5vI7GqvApiCw37Hjk5D4xFUcl2ImGk76HVAtmG/WlS7P3tBPnSvtd/P02JNeV7b+Y+wqGonP4sJ1aVV8ntpFDXn04F98yPLac/kW1arMF2Yqw/TYm93/eV6s9yYh0Ljfe98l4OXuh6z+B7r8rLhkOhLjaqjxJKBYDsbN2+w0isY6G07zNu6HJQQuj3X+XFPh96D8p7OUZ/S5wKKu77hPNafLQzD9m3pbF3soAV/8nS/W7cjw1uqICPi/G+dyrQ7fN93IpK9u2FhQj1v4fXIvJQx10a28A5G9EDtSXFV1ERQv3v4fV+uZWKRXY2Es9kSQ5pOxXkQpWXjfT0gpLfjfv9GeyVIxkRLI51KCrZTnzctAj2yjH9e28s1sawsKsKd3fd69atkrYlS3RtU6ZIY+vX17VfvlzStnKlrm3cOMnVTSve/Qe2zPFCwxvJ+tBeiZuxdKoXlCOfkwzvf7CkHbbM8ULTqyXP3w3/+Qt07uAJMWSoJIXOz4Vi2ateCP7rBwC68zCW+e5D5w6ewKOPSvPt2ROdO3gi1j9O3/S270EsneqFLpHd9G1KpQJvfzoEW+Z4ocuvu/TtD106ji1zvLA4tpPkX17iiSfRuYMnuv+0VR/bOOUXbJnjhY/eCwZQ6tBEZKRu/axdq4/1vf0/bJnjBVWTRtJ8X3pJF/vRR/dPJlaiSVEKtszxwoa5PgB0/9KNHqpEl1WvA+7u+MemGP3krrnp2DLHC1vmeMFBW/LjM2LfXISFeAJz5gDQFcivDdTqY11z0/XzXnx1kW5dRkdLc/PygrqOB7wyU0raPvpIl+9LL0ljGzaEuo4HfG//r6Rt7VpdbGSkNLZ5c8DdHYpfftE3OWz7TBf75JPS2Pbtde3Hj+ubuvy6C+o6HsCAAdLYsDBd7IEDJZOf+w5b5njBuW8vaeyjj+pi9+zRNwX/9YMuNqyLNHboUF3s9u36JsXpn7Bljhc+WNJOGjtihC629POmk5OhruOBFe/+Qxo7bpwuduXKkrbLl6Gu44G18/2lsVOm6GKXLClpu3ULcHfXrYvSZszQxS5YUNKWk1PyvS9VZDi+tUDXNmOGdB5G9hEOH1R+H9H/x1W6vMaNk8Y2aaKLTZbuI7bM8YLTqOeksa1a6WJLPaNb+cV2bJnjhX9tGC6N7dxZF3vkSEnsN3uwZY4X5v5ff2lsz5662G+/LWk7cADqOh54e3l3aeyAAbrYnTtL2o4fB9zd4RzSQRr75JO62M8+K2n75RfA3R2qVg9JY43sI/C//+naGjaUhDpNmqjfR+ilpOjavLwksWN2v65b7+++W9KYng64u6NzB0+8NlCrL0hG7JuLLXO88Pz3cxE99P7IUWEh4O6OsBBP/T4CAIZ//x62zPHCmN2vSz6va9e6ujxSUvT7rydPLMeWOV6Y8J+XAZTsvzr3CtDF/k+6j1DX8cCUbWOl6+f+PgK//KL/3ej+01ZsmeOF6M3PSEIXx3ZC5w6e0B49BkC3b59W+BW2zPHCrHWDJbFvL++OLXO8MEV9sGRU7dtvAXd3dHmht+R8vzX/eQxLp3oh9NzekhkcOaJbl8+FSmJX7Rmui/3p3yWxP/0EuLujaZ82khxe/XQUtszxQq/EzQDu/26c/Q1wd4eyaZDkauGJX0zAljle6P/jKn3b+BZXofT00H3vSqtgHwH3MkN8xfsIG8PCzoYUf6EVZUbZvT2Afu1LGiszvA8A2XkVHyatzNWZylLJNK5nPNbTRfdfN7Xhe3XcpPd0ynpATkD1XWwx75mKTyau54kHnufh4mzY1qXMoeLieTfy5iFYotqgS5mLFQDg0XYKo6eR1HGreF7eHoZtoc2VGBJSsj+pqYshAODizZJ9b/MGus9zcpDGONxPI7ih8XxK/664GtmHlhfrpi5/H1r0gJ+E25nAX3+XBBX/ntYps48vLpA7Bsm3/FEIIWR1WUhGRgY0Gg3S09Ph6elp2Q8rHoJ1dYW+GsvP1w2LOzoCKpVhrIsLoLy/QRUU6OIdHAB1SVWUcycTE9doke/kghlPOeoeXF1UqI/98YIzlu3Vjdg55+dAIQTyndQQSt23T1lUCKfCPLw8wBFhHUvtVXJykJuvxdh1ThBKB2ye6gC1okg3nKxU6nIrdu8eoNUiV+mMqFW6Zds8GVAXlR+bAyc8v0a3bDMfF2jvmwelg1K3fu47mpSDNXsLUOjojCIHJwC6Q3fOBbkQCgXynXWxUwcq0S0oXzcM7+wMODkht0Bg7NICOBfcw9pJDlCXPkEiL0/3r2QnJ108gNy8Irz4gW5PtvafnlA7KQxiEy456s7zEAKq+4cD85xL+vO1xwrRpUmRZL4QArnp2XhxVRHynF2x+VVH3bwr6PvcAoGx65whlErdehcFlY9FodHtBDk5ulwcVIi6P1i1+WWtbt7lxEKtRq5WiahlRVAWFWLji4VQqxyM9ifUasDBAbkFAs9/mAenwjysneIEtaerYaxKBTg63u+jfDgX5GLtZEeoNW7lxgJAbm4hXozNhlAosO51j5I+ys2V9D0A3faYkaNb7yo33bpxUpgWa2Q7gRC670aBQNR63TrbPNUBam1+ubEAkOvkgqjluu/h5olFun4q53tvSixcXJBbpEDUsiI4FBVgw4tFUKsdpf1ZZn+SWyDwwoe5cCzMx9pXnKH2KNWfpfoeDrp9RO69Arz4YQ60SiU+fs29ZL2bEmukP1FUhNzMexi/RqDAyaVkvZcTi9xc5BYCUR+rStZ7UZ5hf5oSq9XqTxnIdXZF1DLdocXNLxXq9nel+7NULNzcdNvAsiI4FuZh/UsCaldno30PV1ddLsuK4FCYjw0vacuNTbimRuzXup9Zh8J8OBYVoMjBEYWOuuWIHqpEqP89SX8CQG52Hl78KBdFDo5YH+1ast7L+S3Jzc7D+DVAgZO6ZL2X6s8f/1Bg2V4tHIoK4FiYD63SAQVOJdtU8W/JS0Nd0a3N/XVZWAjk5SGnAHh+vS7fmU8o0b5+LpSQbifFsVAqkeuoLlnvE/KhdhBG+x4Khe678YDYY0k5WPWd0P8+ALrDq0ptkeS3ZOpjQLcmefr+BICcPC1e/DAHSm0Rpj+lRvt/OOuKyTJ9r1fBPqLcWLcHVO/VwJTahhdPVIWxznQu9eV+UKyTU8nOqBSlhzvyVPfPcygeVVOWxHq5l5xbUXpDL6Z1cESegyM8fcr8i8TVFXASEMpS5884OpZ8gUor/qEvEADuxzs4AGojy3E/VlkqNjjQEUojy6bxViNPJV0/QumAPJV0vl7ukP6Q6WOVuli3Mv+EVKmkP5IAUBxbVqnY0OYodQ+oktjie0B1aW5kGFKhANzc9H2kV1HfF5RZ76bElrOd6Avm0n3k5AQ4GZlvqeIa968i0zo4Am4qwKnMv5JLF3nFk9zfpuDi8MBYfX+6PjgWDoZ9D8Bo30OpNL7eTYk1tp3c70/JenxQLHA//j5nZ8CpTCxgXiygH54ocnDSDYWX7SMj+5MiByddvLrMenc13EfA0dH4ejcltpz+hJsbCpyKKh1rsN6N9acpsff7HoB0vauMbOulY0spdFTp9jGl40v3PQDgfh85OlcYG/oQED1Ue38f46yLR9n7zBn/LclTORi2l/db4uZouN5L9Wfx74Z+Oymj+LfES1Pqd+P+74Nk395IAaWT8e1E/1tSer27uBiu9+L+rGSsZ3035DtLL7QoXZTql9HTsD+VSoU+NjjIoWSEsJy+f+D3/kGxNoCFnR2y56szbTH30OZKtG0MPL9Ct+OY+YRSN0oqwxtXElHNs4V9jC3ueyvLnnO3BvkeZJYxSz9GxpJsNXc+GYKILMna+xhb3fdWhj3nbg0s7OzUg04MteXnkNpz7kRE9sqe9732nHtN46FYO2YLw/vmsufciYjslT3ve+0595rEEtfOWXt4vyrsOXciIntlz/tee869prCwIyIiIpIJFnZEREREMsHCjoiIiEgmWNgRERERyUSVC7tVq1YhKCgIarUanTp1wpFSD4825tChQ+jUqRPUajWaNm2KNWvWGMTs2LEDrVq1gkqlQqtWrbCz9IOjiYiIiMioKhV227dvx7Rp0zBnzhycPn0aPXr0wIABA3D58mWj8RcuXMDAgQPRo0cPnD59GrNnz8bUqVOxY8cOfcyxY8fw7LPPIjIyEj///DMiIyPxzDPPICEhoSqpEhEREclele5jFxsbi3HjxmH8+PEAgKVLl+Lbb7/F6tWrERMTYxC/Zs0aNG7cGEuXLgUABAcH4+TJk3j//ffx5JNP6ufRr18/zJo1CwAwa9YsHDp0CEuXLsW2bduqkm61EUIgp/iBwBZwL1+L/IJcAMCtDIeShz8bkVsgkF9QVKlYS8fbUi72nLst5WLPuTMX+eXOXOSXe03mkpWlRpGzZc5Ac3V1hUJhI7deEWbKy8sTDg4O4ssvv5S0T506VfTs2dPoND169BBTp06VtH355ZfC0dFR5OfnCyGECAgIELGxsZKY2NhY0bhxY6PzzM3NFenp6frXlStXBACRnp5u7qI9UFZWloDuCdB88cUXX3zxxVctf2VlZVms5hBCiPT0dAFUrrYxu3S9desWioqK4OvrK2n39fVFamqq0WlSU1ONxhcWFuLWrVsVxpQ3z5iYGGg0Gv0rICDA3EUiIiIismtVfqRY2aFHIUSFw5HG4su2mzLPWbNmITo6Wv93RkaGxYs7V1dXZGVlWWz+QgjkagssNn8iIqLaRq10stjhUldXV4vM1xxmF3Y+Pj5wcHAwGEm7ceOGwYhbMT8/P6Pxjo6O8Pb2rjCmvHmqVCqoVCpzF8MsCoUCbm5uFv0M9weHEBEREUmYfSjW2dkZnTp1QlxcnKQ9Li4O4eHhRqcJCwsziP/uu+8QEhICJyenCmPKmycRERER6VTpUGx0dDQiIyMREhKCsLAwrF27FpcvX8bEiRMB6A6TXrt2DVu2bAEATJw4EStWrEB0dDQmTJiAY8eOYf369ZKrXV999VX07NkTixYtwuOPP46vvvoK//3vf/HDDz9UJVUiIiIi2atSYffss8/i9u3bWLhwIVJSUtCmTRvs3bsXgYGBAICUlBTJPe2CgoKwd+9eTJ8+HStXroS/vz+WLVumv9UJAISHh+Pzzz/HG2+8gblz56JZs2bYvn07QkNDq5IqERERkewpRPHVCzKRkZEBjUaD9PR0eHp6WjsdIiIioioxpbbhs2KJiIiIZIKFHREREZFMsLAjIiIikgkWdkREREQywcKOiIiISCZY2BERERHJBAs7IiIiIpmo0g2Ka73sbN1/XV2B4gcL5+cDBQWAoyNQ+hm2xbEuLoDyfj1dUKCLd3AA1GrzYnNyACF0bQ4OurbCQiAvTzeti4t5sffuAVqtbhkc728mRUVAbq5psQqFbv0Uy83VvefsDNx/jJxJsVqt7vMAoPTzevPydMvi5KSLNzVWCN36AYz3pymxlen76thOjPVndWwnxf1Z1e2kbH9WdTsprz+rup2U7s+qbifl9Sf3EdxHlI7lPkJe+wgLPzveZEJm0tPTBQCRnp5u+Q/TdbcQN26UtL39tq5t/HhprKurrv3ChZK2Dz/UtY0cKY318dG1//prSdvatbq2xx+XxgYG6tpPnChp+/RTXdujj0pjW7XStcfHl7Tt3KlrCw+XxoaE6Nr37Clp++47XVv79tLYXr107V98UdL2ww+6tn/8Qxo7cKCufePGkrbTp3Vt/v7S2Kee0rWvWFHS9scfujaNRhobFaVrX7y4pO3qVV2bo6M0dtIkXfu8eSVtd++W9Gd+fkn766/r2l5/vaQtP78k9u7dkvZ583RtkyZJP8/RUdd+9WpJ2+LFuraoKGmsRqNr/+OPkrYVK3RtTz0ljfX317WfPl3StnGjrm3gQGnsP/6ha//hh5K2L77QtfXqJY1t317X/t13JW179ujaQkKkseHhuvadO0va4uN1ba1aSWMffVTX/umnJW0nTujaAgOlsY8/rmtfu7ak7ddfdW0+PtLYkSN17R9+WNJ24YKuzdVVGjt+vK797bdL2m7cKOnP0l59Vdc2e3ZJW1ZWSWxWVkn77Nm6tldflc6D+wgd7iN0uI/Qkds+ogaYUtvwUCwRERGRTPCRYlXBwywPjuVhFh5mMSfWlg6z8FAs9xEA9xHcR5QfWwOHYk2pbVjYEREREdkwPiuWiIiIqBZiYUdEREQkE7K73UnxkeWMjAwrZ0JERERUdcU1TWXOnpNdYZeZmQkACAgIsHImRERERNUnMzMTGo2mwhjZXTyh1Wpx/fp1eHh4QFF8JZIdysjIQEBAAK5cucKLQGSCfSo/7FP5YZ/Kjxz6VAiBzMxM+Pv7Q6ms+Cw62Y3YKZVKNGrUyNppVBtPT0+73RDJOPap/LBP5Yd9Kj/23qcPGqkrxosniIiIiGSChR0RERGRTLCws1EqlQrz5s2DqvQdx8musU/lh30qP+xT+altfSq7iyeIiIiIaiuO2BERERHJBAs7IiIiIplgYUdEREQkEyzsiIiIiGSChZ0NuXjxIsaNG4egoCC4uLigWbNmmDdvHvLz8yVxly9fxpAhQ+Dm5gYfHx9MnTrVIIZsxzvvvIPw8HC4urrCy8vLaAz71P6sWrUKQUFBUKvV6NSpE44cOWLtlKiSDh8+jCFDhsDf3x8KhQK7du2SvC+EwPz58+Hv7w8XFxf07t0bZ8+etU6yVCkxMTHo3LkzPDw8UL9+fQwbNgznzp2TxNSWfmVhZ0N+//13aLVa/N///R/Onj2LDz/8EGvWrMHs2bP1MUVFRRg0aBCys7Pxww8/4PPPP8eOHTvw2muvWTFzqkh+fj6efvppvPzyy0bfZ5/an+3bt2PatGmYM2cOTp8+jR49emDAgAG4fPmytVOjSsjOzkb79u2xYsUKo+8vXrwYsbGxWLFiBRITE+Hn54d+/frpn0VOtufQoUOYPHkyjh8/jri4OBQWFiIiIgLZ2dn6mFrTr4Js2uLFi0VQUJD+77179wqlUimuXbumb9u2bZtQqVQiPT3dGilSJW3cuFFoNBqDdvap/enSpYuYOHGipK1ly5Zi5syZVsqIzAVA7Ny5U/+3VqsVfn5+4r333tO35ebmCo1GI9asWWOFDMkcN27cEADEoUOHhBC1q185Ymfj0tPTUbduXf3fx44dQ5s2beDv769v69+/P/Ly8nDq1ClrpEhVxD61L/n5+Th16hQiIiIk7RERETh69KiVsqLqcuHCBaSmpkr6V6VSoVevXuxfO5Keng4A+t/P2tSvLOxs2P/+9z8sX74cEydO1LelpqbC19dXElenTh04OzsjNTW1plOkasA+tS+3bt1CUVGRQZ/5+vqyv2SguA/Zv/ZLCIHo6Gh0794dbdq0AVC7+pWFXQ2YP38+FApFha+TJ09Kprl+/Toee+wxPP300xg/frzkPYVCYfAZQgij7WQZ5vRpRdin9qds37C/5IX9a7+mTJmCM2fOYNu2bQbv1YZ+dbR2ArXBlClTMGLEiApjmjRpov//69evo0+fPggLC8PatWslcX5+fkhISJC03b17FwUFBQb/EiHLMbVPK8I+tS8+Pj5wcHAw+Ff+jRs32F8y4OfnB0A3wtOgQQN9O/vXPrzyyivYvXs3Dh8+jEaNGunba1O/srCrAT4+PvDx8alU7LVr19CnTx906tQJGzduhFIpHVQNCwvDO++8g5SUFP3G+d1330GlUqFTp07VnjsZZ0qfPgj71L44OzujU6dOiIuLw/Dhw/XtcXFxePzxx62YGVWHoKAg+Pn5IS4uDh07dgSgO6/y0KFDWLRokZWzo/IIIfDKK69g586dOHjwIIKCgiTv16Z+ZWFnQ65fv47evXujcePGeP/993Hz5k39e8X/2oiIiECrVq0QGRmJJUuW4M6dO3j99dcxYcIEeHp6Wit1qsDly5dx584dXL58GUVFRUhKSgIA/OMf/4C7uzv71A5FR0cjMjISISEh+pH1y5cvS86HJduVlZWFP//8U//3hQsXkJSUhLp166Jx48aYNm0a3n33XTRv3hzNmzfHu+++C1dXV4wcOdKKWVNFJk+ejK1bt+Krr76Ch4eHfkRdo9HAxcUFCoWi9vSrFa/IpTI2btwoABh9lXbp0iUxaNAg4eLiIurWrSumTJkicnNzrZQ1PUhUVJTRPo2Pj9fHsE/tz8qVK0VgYKBwdnYWDz/8sP62CmT74uPjjX4no6KihBC6W2PMmzdP+Pn5CZVKJXr27Cl++eUX6yZNFSrvt3Pjxo36mNrSrwohhKjJQpKIiIiILINXxRIRERHJBAs7IiIiIplgYUdEREQkEyzsiIiIiGSChR0RERGRTLCwIyIiIpIJFnZEREREMsHCjoiIiEgmWNgRERERyQQLOyKiUsaOHYthw4ZZOw0iIrOwsCMiIiKSCRZ2RESVFBsbi7Zt28LNzQ0BAQGYNGkSsrKyJDHr1q1DQEAAXF1dMXz4cMTGxsLLy8s6CRNRrcPCjoiokpRKJZYtW4Zff/0VmzdvxoEDB/Cvf/1L//6PP/6IiRMn4tVXX0VSUhL69euHd955x4oZE1FtoxBCCGsnQURkK8aOHYu0tDTs2rXrgbH//ve/8fLLL+PWrVsAgBEjRiArKwt79uzRx4wePRp79uxBWlqahTImIirBETsiokqKj49Hv3790LBhQ3h4eGDMmDG4ffs2srOzAQDnzp1Dly5dJNOU/ZuIyJJY2BERVcKlS5cwcOBAtGnTBjt27MCpU6ewcuVKAEBBQQEAQAgBhUIhmY4HRYioJjlaOwEiIntw8uRJFBYW4oMPPoBSqfs38RdffCGJadmyJU6cOGEwHRFRTWFhR0RURnp6OpKSkiRt9erVQ2FhIZYvX44hQ4bgxx9/xJo1ayQxr7zyCnr27InY2FgMGTIEBw4cwL59+wxG8YiILIUXTxARlTJ27Fhs3rzZoD0qKgrt27fHkiVLkJaWhp49e2LUqFEYM2YM7t69q7+lybp167BgwQLcuXMH/fv3R0hICFasWIGUlJQaXhIiqo1Y2BERWdCECRPw+++/48iRI9ZOhYhqAR6KJSKqRu+//z769esHNzc37Nu3D5s3b8aqVausnRYR1RIcsSMiqkbPPPMMDh48iMzMTDRt2hSvvPIKJk6caO20iKiWYGFHREREJBO8jx0RERGRTLCwIyIiIpIJFnZEREREMsHCjoiIiEgmWNgRERERyQQLOyIiIiKZYGFHREREJBMs7IiIiIhkgoUdERERkUywsCMiIiKSCRZ2RERERDLBwo6IiIhIJljYEREREckECzsiIiIimWBhR2SmTZs2QaFQ6F+Ojo5o1KgRnn/+eVy7dq1aP+vdd9/Frl27DNoPHjwIhUKBgwcPmjxPc6bdvXs3FAoFvL29kZeXZ/Jnlnb06FHMnz8faWlpVZqPvVAoFJg/f77J0+Xk5GD+/PlG+6l4G7x48WKV8zNV7969Jdt/6devv/5a4/kUs9X1RVRTWNgRVdHGjRtx7NgxxMXFYcKECdi2bRt69OiB7OzsavuM8gq7hx9+GMeOHcPDDz9cbZ9VkfXr1wMA7ty5YzQfUxw9ehQLFiyoNYWduXJycrBgwQKjhcqgQYNw7NgxNGjQoOYTA9C0aVMcO3bM4NWsWTOr5APY9voiqgmO1k6AyN61adMGISEhAIA+ffqgqKgIb731Fnbt2oVRo0ZVad737t2Di4tLue97enqia9euVfqMykpNTcXevXvRt29fHD16FOvXr8ezzz5bI59tLTk5OXB1dTX63oP6pibUq1cP9erVs9rnu7i41Nj2Vx2svb6IagJH7IiqWfEP3aVLlwAACxYsQGhoKOrWrQtPT088/PDDWL9+PYQQkumaNGmCwYMH48svv0THjh2hVquxYMECKBQKZGdnY/PmzfpDXb179wZg/HDqyZMnMWLECDRp0gQuLi5o0qQJnnvuOX0+5tq8eTMKCwsxffp0PPHEE/j+++8N5nnx4kUoFAps2rTJYPrShyLnz5+Pf/7znwCAoKAg/XIVL4dWq8XixYvRsmVLqFQq1K9fH2PGjMHVq1cN5rt//3488sgj0Gg0cHV1RXBwMGJiYiQxu3fvRlhYGFxdXeHh4YF+/frh2LFjkpj58+dDoVDgp59+wlNPPYU6deroR57K6xtAV/C+9NJLaNSoEZydnREUFIQFCxagsLCwwvV58+ZNTJo0Ca1atYK7uzvq16+Pvn374siRI5L1WVyIFG8LCoUCY8eOBVD+ocUNGzagffv2UKvVqFu3LoYPH47k5GRJzNixY+Hu7o4///wTAwcOhLu7OwICAvDaa69V+TB7RbkZ22Z79+6NNm3aIDExET169ICrqyuaNm2K9957D1qtVjJ9WloaXnvtNTRt2lS/bQwcOBC///67Xa8vourCETuiavbnn38CgP4H5uLFi3jppZfQuHFjAMDx48fxyiuv4Nq1a3jzzTcl0/70009ITk7GG2+8gaCgILi5uWHYsGHo27cv+vTpg7lz5wLQjdSV5+LFi2jRogVGjBiBunXrIiUlBatXr0bnzp3x22+/wcfHx6zl2rBhAxo0aIABAwbAxcUFW7duxaZNmzBv3jyT5zV+/HjcuXMHy5cvx5dffqk/NNaqVSsAwMsvv4y1a9diypQpGDx4MC5evIi5c+fi4MGD+Omnn/TLsH79ekyYMAG9evXCmjVrUL9+ffzxxx+Sc7y2bt2KUaNGISIiAtu2bUNeXh4WL16M3r174/vvv0f37t0luT3xxBMYMWIEJk6cKDmcbqxvUlNT0aVLFyiVSrz55pto1qwZjh07hrfffhsXL17Exo0by10Hd+7cAQDMmzcPfn5+yMrKws6dO/V59e7dGw0aNMD+/fvx2GOPYdy4cRg/fjwAVDjqFBMTg9mzZ+O5555DTEwMbt++jfnz5yMsLAyJiYlo3ry5PragoABDhw7FuHHj8Nprr+Hw4cN46623oNFoDLbN8pQtYJVKJZRK08cMUlNTMWrUKLz22muYN28edu7ciVmzZsHf3x9jxowBAGRmZqJ79+64ePEiZsyYgdDQUGRlZeHw4cNISUlBeHi4za8vIosTRGSWjRs3CgDi+PHjoqCgQGRmZoo9e/aIevXqCQ8PD5GammowTVFRkSgoKBALFy4U3t7eQqvV6t8LDAwUDg4O4ty5cwbTubm5iaioKIP2+Ph4AUDEx8eXm2dhYaHIysoSbm5u4qOPPjJp2mKHDx8WAMTMmTOFEEJotVoRFBQkAgMDJctw4cIFAUBs3LjRYB4AxLx58/R/L1myRAAQFy5ckMQlJycLAGLSpEmS9oSEBAFAzJ49WwghRGZmpvD09BTdu3eX5FBaUVGR8Pf3F23bthVFRUX69szMTFG/fn0RHh6ub5s3b54AIN58802D+ZTXNy+99JJwd3cXly5dkrS///77AoA4e/ZsuctfVmFhoSgoKBCPPPKIGD58uL795s2b5U5bvA0Wr8O7d+8KFxcXMXDgQEnc5cuXhUqlEiNHjtS3RUVFCQDiiy++kMQOHDhQtGjRotw8i/Xq1UsAMHiNGjXKaG7FjG13xfNKSEiQxLZq1Ur0799f//fChQsFABEXF1duXra6vohqCg/FElVR165d4eTkBA8PDwwePBh+fn7Yt28ffH19AQAHDhzAo48+Co1GAwcHBzg5OeHNN9/E7du3cePGDcm82rVrh4ceeqhK+WRlZWHGjBn4xz/+AUdHRzg6OsLd3R3Z2dkGh5cqq/iiiRdeeAEA9Ie3Ll26hO+//75K+ZYVHx8PAPrDZ8W6dOmC4OBg/ecdPXoUGRkZmDRpEhQKhdF5nTt3DtevX0dkZKRkFMnd3R1PPvkkjh8/jpycHMk0Tz75pNF5GeubPXv2oE+fPvD390dhYaH+NWDAAADAoUOHKlzWNWvW4OGHH4ZarYajoyOcnJzw/fffm91Px44dw7179wzWXUBAAPr27WvQVwqFAkOGDDFYzsoetm/WrBkSExMlr7feesus3P38/NClS5cKc9m3bx8eeughPProo2Z9Rlk1vb6IagILO6Iq2rJlCxITE3H69Glcv34dZ86cQbdu3QAAJ06cQEREBABg3bp1+PHHH5GYmIg5c+YA0J2AX1p1XK03cuRIrFixAuPHj8e3336LEydOIDExEfXq1TP4vMrIzMzEv//9b3Tp0gX16tVDWloa0tLSMHz4cCgUCn3RV11u374NwPi68Pf3179/8+ZNAECjRo3MnpdWq8Xdu3cl7eX1gbH2v//+G19//TWcnJwkr9atWwMAbt26VW5usbGxePnllxEaGoodO3bg+PHjSExMxGOPPWZWPwGVX3fFXF1doVarJW0qlQq5ubmV+jy1Wo2QkBDJKygoyKzcvb29DdpUKpVkXdy8ebPC/jZVTa8voprAc+yIqig4OFh/VWxZn3/+OZycnLBnzx7JD0J5twopb+SpstLT07Fnzx7MmzcPM2fO1Lfn5eXpz+ky1bZt25CTk4MTJ06gTp06Bu/v3LkTd+/eRZ06dfTLWPZk8rI/kBUp/oFPSUkx+BG/fv26/vy64vOmjF1QYWxeZV2/fh1KpdJgmcrrA2PtPj4+aNeuHd555x2j0/j7+5eb26efforevXtj9erVkvbMzMxyp3mQBy2vuedXmqO8baGiYvdB6tWrV2F/m8qW1hdRdeGIHZEFFd+42MHBQd927949fPLJJybNp+zIRUWfJ4SASqWStH/88ccoKioy6TOLrV+/Hh4eHvj+++8RHx8veS1ZsgR5eXn47LPPAAC+vr5Qq9U4c+aMZB5fffWV0WUCDEct+/btC0BX+JSWmJiI5ORkPPLIIwCA8PBwaDQarFmzxuAK42ItWrRAw4YNsXXrVklMdnY2duzYob9S1lyDBw/Gr7/+imbNmhmMXIWEhFRY2CkUCoN+OnPmjMHVuuWtJ2PCwsLg4uJisO6uXr2KAwcO6NddTWjSpAkAGGwLu3fvNnueAwYMwB9//IEDBw6UG2Ov64uounDEjsiCBg0ahNjYWIwcORIvvvgibt++jffff9/gB/1B2rZti4MHD+Lrr79GgwYN4OHhgRYtWhjEeXp6omfPnliyZAl8fHzQpEkTHDp0COvXr4eXl5fJ+f/66684ceIEXn75ZX3BVVq3bt3wwQcfYP369ZgyZQoUCgVGjx6NDRs2oFmzZmjfvj1OnDiBrVu3Gl0mAPjoo48QFRUFJycntGjRAi1atMCLL76I5cuXQ6lUYsCAAfqrYgMCAjB9+nQAuvPkPvjgA4wfPx6PPvooJkyYAF9fX/z555/4+eefsWLFCiiVSixevBijRo3C4MGD8dJLLyEvLw9LlixBWloa3nvvPZPXSWkLFy5EXFwcwsPDMXXqVLRo0QK5ubm4ePEi9u7dizVr1pR76HDw4MF46623MG/ePPTq1Qvnzp3DwoULERQUJLnS1MPDA4GBgfjqq6/wyCOPoG7duvq+LcvLywtz587F7NmzMWbMGDz33HO4ffs2FixYALVabdYVzObq3LkzWrRogddffx2FhYWoU6cOdu7ciR9++MHseU6bNg3bt2/H448/jpkzZ6JLly64d+8eDh06hMGDB6NPnz52u76Iqo2VL94gslvFV9glJiZWGLdhwwbRokULoVKpRNOmTUVMTIxYv369wRWDgYGBYtCgQUbnkZSUJLp16yZcXV0FANGrVy8hhPErDK9evSqefPJJUadOHeHh4SEee+wx8euvv4rAwEDJlbWVuSp22rRpAoBISkoqN2bmzJkCgDh16pQQQoj09HQxfvx44evrK9zc3MSQIUPExYsXjV6pOGvWLOHv7y+USqUkl6KiIrFo0SLx0EMPCScnJ+Hj4yNGjx4trly5YvD5e/fuFb169RJubm7C1dVVtGrVSixatEgSs2vXLhEaGirUarVwc3MTjzzyiPjxxx8lMcVXxd68edPgMyrqm5s3b4qpU6eKoKAg4eTkJOrWrSs6deok5syZI7KysvRxZZc/Ly9PvP7666Jhw4ZCrVaLhx9+WOzatUtERUWJwMBAyWf897//FR07dhQqlUoA0PdjeVeefvzxx6Jdu3bC2dlZaDQa8fjjj0uu0BVCd5Wnm5ubwfIUr4cH6dWrl2jdunWFMX/88YeIiIgQnp6eol69euKVV14R33zzjdGrYo3Ny9i6uHv3rnj11VdF48aNhZOTk6hfv74YNGiQ+P333/Uxtri+iGqKQohyjmEQERERkV3hOXZEREREMsHCjoiIiEgmWNgRERERyQQLOyIiIiKZYGFHREREJBMs7IiIiIhkQnY3KNZqtbh+/To8PDyq/HgmIiIiImsTQiAzMxP+/v5QKisek5NdYXf9+nUEBARYOw0iIiKianXlypVyn2ZTTHaFnYeHBwDdwnt6elo5GyIikjOtVuDcdYH0bEDjBrTwV0Cp5NEiql4ZGRkICAjQ1zgVkV1hV3z41dPTk4UdERFZTMJ5LTYd0OJOVklbXXdgbF8lQpvzFHaqfpU5xYxbHhERkYkSzmsRu1ta1AHAnSwgdrcWCee11kmMaj0WdkRERCbQagU2Hai4cNscr4VWy0exW5tWK3D2ihY/Jmtx9krt6BPZHYolIiKypORrwmCkrqzbmbq41gE8385aauuhcvkuGRERkQWkPaCoMzWOql9tPlTOwo6IiMgEXu7VG0fVq7YfKmdhR0REZILghgrUfUDR5u2hi6OaZ8qhcjmyeGG3atUqBAUFQa1Wo1OnTjhy5EiF8YcOHUKnTp2gVqvRtGlTrFmzxtIpEhERVZpSqcDYvhX/fEb1UfJ+dlZS2w+VW7Sw2759O6ZNm4Y5c+bg9OnT6NGjBwYMGIDLly8bjb9w4QIGDhyIHj164PTp05g9ezamTp2KHTt2WDJNIiIik4Q2VyJ6qBJ1yozceXsA0UPt9+R8OVxFWtsPlSuEEBbrtdDQUDz88MNYvXq1vi04OBjDhg1DTEyMQfyMGTOwe/duJCcn69smTpyIn3/+GceOHavUZ2ZkZECj0SA9Pd1iNygWQiAnJ8ci8y6ef662wGLzJyKi6pGTp8Wr63Xnc00dpETrAPt98sSpv7T4/IgWadklbV5uwIgeSnRqaj+FqlYrMOOTIslyAIBC6wQFdH1T1wOIHetQbX3l6upq0efTm1LbWOx2J/n5+Th16hRmzpwpaY+IiMDRo0eNTnPs2DFERERI2vr374/169ejoKAATk5OBtPk5eUhLy9P/3dGRkY1ZF+xnJwcuLvLtNQnIiKz7Jpl7QwsY5O1E7CQj6dW37yysrLg5uZWfTOsAouV4Ldu3UJRURF8fX0l7b6+vkhNTTU6TWpqqtH4wsJC3Lp1y+g0MTEx0Gg0+ldAQED1LAARERGRnbH4DYrLDk0KISocrjQWb6y92KxZsxAdHa3/u/hBuZbk6uqKrCzLnXV5L1+LCf+XCwBYPsEBaif7HNYvllsg8Mq6IgBcHlvE5bFtXB6ytHPXtHj/qwff1+31x5Vo0dB+DskCusOy51ME0rMBH3cnBDe0zEUtrq6u1T5Pc1mssPPx8YGDg4PB6NyNGzcMRuWK+fn5GY13dHSEt7e30WlUKhVUKlX1JF1JCoXCokOuDs4Czk4uAAAfT/vf8eUWCDg76XbkXB7bw+WxbVwesrRz17RwdqrMDXuV8PG0r8IOAOp7WTuDmmWxHnJ2dkanTp0QFxcnaY+Li0N4eLjRacLCwgziv/vuO4SEhBg9v46IiIiqprZfRSo3Fi29o6Oj8fHHH2PDhg1ITk7G9OnTcfnyZUycOBGA7jDqmDFj9PETJ07EpUuXEB0djeTkZGzYsAHr16/H66+/bsk0iYiIai3ecFleLHqO3bPPPovbt29j4cKFSElJQZs2bbB3714EBgYCAFJSUiT3tAsKCsLevXsxffp0rFy5Ev7+/li2bBmefPJJS6ZJRERUaxXfcDl2d/mHY3nDZfth8YsnJk2ahEmTJhl9b9OmTQZtvXr1wk8//WThrIiIiKiY7obLwKYDWsnjuLw9dEWdvd5wuTayeGFHREREti+0uRKdmymQfE0gLUt3Tl1wQ/u94XJtxcKOiIiIAOgOy7YOYCFnzzi2SmSi0s9OTL4q7PJZiqVxeYiI5IMjdkQmSDivxcYDJScYv/elFnXdgbF97fMcFC4PEZG8cE9HVEkJ57WI3a3F3TIPHbmTBcTu1iLhfGVu8Gk7uDxERPLDwo6oErRagU0HKi4MNsdr7eawH5eHiEieWNgRVULyNSG5BYAxtzN1cfaAy0NEJE8s7IgqIe0BRYOpcdbG5SEikicWdkSVILdnKXJ5iIjkiYUdUSXI7VmKXB4iInliYUdUCcXPUqyIPT1LkctDRCRPLOyIKkn3LEWlwciQtwcQPdT+7pPG5SEikh/eoJjIBHJ7liKXh4hIXljYEZlIbs9S5PIQEckHj00QEdkwPvuWiEzBETsiIhvFZ98Skam4ZyAiskF89i0RmYOFHRGRjeGzb4nIXCzsiIhsDJ99S0TmYmFHRGRj+OxbIjIXCzsiIhvDZ98SkblY2BER2Rg5P/uWt28hsiwWdkRENkauz75NOK9F9Cbp7VsmryviFb5E1YiFHRGRDZLbs295+xaimsEbFBMR2Si5PPu2srdv6dzM/paNyNawsCMismFyePatKbdvsfdlJbI2+xrLJyIiu8PbtxDVHBZ2RERkUbx9C1HNYWFHREQWJefbtxDZGhZ2RERkUXK9fQuRLWJhR0REFie327cQ2SqLfpPu3r2LyMhIaDQaaDQaREZGIi0trdz4goICzJgxA23btoWbmxv8/f0xZswYXL9+3ZJpEhFRDQhtrsTKCQ548xklpg5U4s1nlFgx3oFFHVE1sui3aeTIkUhKSsL+/fuxf/9+JCUlITIystz4nJwc/PTTT5g7dy5++uknfPnll/jjjz8wdOhQS6ZJREQ1RHf7FiW6BSvROoCHX4mqm8XuY5ecnIz9+/fj+PHjCA0NBQCsW7cOYWFhOHfuHFq0aGEwjUajQVxcnKRt+fLl6NKlCy5fvozGjRtbKl0iIiIiu2exEbtjx45Bo9HoizoA6Nq1KzQaDY4ePVrp+aSnp0OhUMDLy8vo+3l5ecjIyJC8iIiIiGojixV2qampqF+/vkF7/fr1kZqaWql55ObmYubMmRg5ciQ8PT2NxsTExOjP4dNoNAgICKhS3kRERET2yuTCbv78+VAoFBW+Tp48CQBQKAzPnRBCGG0vq6CgACNGjIBWq8WqVavKjZs1axbS09P1rytXrpi6SERERESyYPI5dlOmTMGIESMqjGnSpAnOnDmDv//+2+C9mzdvwtfXt8LpCwoK8Mwzz+DChQs4cOBAuaN1AKBSqaBSqSqXPBEREZGMmVzY+fj4wMfH54FxYWFhSE9Px4kTJ9ClSxcAQEJCAtLT0xEeHl7udMVF3fnz5xEfHw9vb29TUyQiIiKqlSx2jl1wcDAee+wxTJgwAcePH8fx48cxYcIEDB48WHJFbMuWLbFz504AQGFhIZ566imcPHkSn332GYqKipCamorU1FTk5+dbKlUiIiIiWbDofew+++wztG3bFhEREYiIiEC7du3wySefSGLOnTuH9PR0AMDVq1exe/duXL16FR06dECDBg30L1OupCUiIiKqjSx2HzsAqFu3Lj799NMKY4QQ+v9v0qSJ5G+SB622pE+Trwq0DwRvSkpERGQBFi3siBLOa7HxgFb/93tfalHXHRjbl8+GJCIiqm78ZSWLSTivRexuLe5mSdvvZAGxu7VIOK81PiERERGZhYUdWYRWK7DpQMWF2+Z4reQwLREREVUNCzuyiORrAneyKo65namLIyIiourBwo4sIu0BRZ2pcURERPRgLOzIIrzcqzeOiIiIHoyFHVlEcEMF6j6gaPP20MURERFR9WBhRxahVCowtm/Fm1dUHyXvZ0dERFSNWNiRxYQ2VyJ6qNJg5M7bA4geyvvYERERVTfeoJgsKrS5Ep2bKZB8TSAtS3dOXXBDBUfqiIiILICFHVmcUqlA6wAWckRERJbGY2FEREREMsHCjoiIiEgmWNgRERERyQQLOyIiIiKZYGFHREREJBMs7IiIiIhkgoUdERERkUywsCMiIiKSCRZ2RERERDLBwo6IiIhIJljYEREREckECzsiIiIimWBhR0RERCQTLOyIiIiIZIKFHREREZFMsLAjIiIikgkWdkREREQywcKOiIiISCZY2BERERHJBAs7IiIiIpmwaGF39+5dREZGQqPRQKPRIDIyEmlpaZWe/qWXXoJCocDSpUstliMRERGRXFi0sBs5ciSSkpKwf/9+7N+/H0lJSYiMjKzUtLt27UJCQgL8/f0tmSIRERGRbDhaasbJycnYv38/jh8/jtDQUADAunXrEBYWhnPnzqFFixblTnvt2jVMmTIF3377LQYNGmSpFImIiIhkxWIjdseOHYNGo9EXdQDQtWtXaDQaHD16tNzptFotIiMj8c9//hOtW7d+4Ofk5eUhIyND8iIiIiKqjSxW2KWmpqJ+/foG7fXr10dqamq50y1atAiOjo6YOnVqpT4nJiZGfw6fRqNBQECA2TkTERER2TOTC7v58+dDoVBU+Dp58iQAQKFQGEwvhDDaDgCnTp3CRx99hE2bNpUbU9asWbOQnp6uf125csXURSIiIiKSBZPPsZsyZQpGjBhRYUyTJk1w5swZ/P333wbv3bx5E76+vkanO3LkCG7cuIHGjRvr24qKivDaa69h6dKluHjxosE0KpUKKpXKtIUgIiIikiGTCzsfHx/4+Pg8MC4sLAzp6ek4ceIEunTpAgBISEhAeno6wsPDjU4TGRmJRx99VNLWv39/REZG4vnnnzc1VSIiIqJaxWJXxQYHB+Oxxx7DhAkT8H//938AgBdffBGDBw+WXBHbsmVLxMTEYPjw4fD29oa3t7dkPk5OTvDz86vwKloiIiIisvB97D777DO0bdsWERERiIiIQLt27fDJJ59IYs6dO4f09HRLpkFERERUK1hsxA4A6tati08//bTCGCFEhe8bO6+OiIiIiAzxWbFEREREMsHCjoiIiEgmWNgRERERyQQLOyIiIiKZYGFHREREJBMs7IiIiIhkgoUdERERkUywsCMiIiKSCRZ2RERERDLBwo6IiIhIJljYEREREckECzsiIiIimWBhR0RERCQTLOyIiIiIZIKFHREREZFMsLAjIiIikgkWdkREREQywcKOiIiISCZY2BERERHJBAs7IiIiIplgYUdEREQkEyzsiIiIiGSChR0RERGRTLCws0FardD/f/JVIfmbiIiIqDyO1k6ApBLOa7HxgFb/93tfalHXHRjbV4nQ5qzDiYiIqHysFGxIwnktYndrcTdL2n4nC4jdrUXCea3xCYmIiIjAws5maLUCmw5UXLhtjtfysCwRERGVi4WdjUi+JnAnq+KY25m6OCIiIiJjWNjZiLQHFHWmxhEREVHtw8LORni5V28cERER1T4s7GxEcEMF6j6gaPP20MURERERGWPRwu7u3buIjIyERqOBRqNBZGQk0tLSHjhdcnIyhg4dCo1GAw8PD3Tt2hWXL1+2ZKpWp1QqMLZvxd0R1UcJpZKFHRERERln0cJu5MiRSEpKwv79+7F//34kJSUhMjKywmn+97//oXv37mjZsiUOHjyIn3/+GXPnzoVarbZkqjYhtLkS0UOVBiN33h5A9FDex46IiIgqphBCWOQyy+TkZLRq1QrHjx9HaGgoAOD48eMICwvD77//jhYtWhidbsSIEXBycsInn3xi1udmZGRAo9EgPT0dnp6eZudvTVqtQPI1gbQs3Tl1wQ0VHKkjIiKqpUypbSz25Iljx45Bo9HoizoA6Nq1KzQaDY4ePWq0sNNqtfjmm2/wr3/9C/3798fp06cRFBSEWbNmYdiwYUY/Jy8vD3l5efq/09PTAehWgj0L0OheAJDFK2GJiIhqreKapjJjcRYr7FJTU1G/fn2D9vr16yM1NdXoNDdu3EBWVhbee+89vP3221i0aBH279+PJ554AvHx8ejVq5fBNDExMViwYIFBe0BAQNUXgoiIiMhGZGZmQqPRVBhjcmE3f/58o4VUaYmJiQAAhcLw8KEQwmg7oBuxA4DHH38c06dPBwB06NABR48exZo1a4wWdrNmzUJ0dLRkHnfu3IG3t3e5n0M1LyMjAwEBAbhy5YrdHiKXM/aPbWP/2Db2j22TQ/8IIZCZmQl/f/8Hxppc2E2ZMgUjRoyoMKZJkyY4c+YM/v77b4P3bt68CV9fX6PT+fj4wNHREa1atZK0BwcH44cffjA6jUqlgkqlkrR5eXlVmB9Zj6enp91+sWoD9o9tY//YNvaPbbP3/nnQSF0xkws7Hx8f+Pj4PDAuLCwM6enpOHHiBLp06QIASEhIQHp6OsLDw41O4+zsjM6dO+PcuXOS9j/++AOBgYGmpkpERERUq1js/hnBwcF47LHHMGHCBBw/fhzHjx/HhAkTMHjwYMmFEy1btsTOnTv1f//zn//E9u3bsW7dOvz5559YsWIFvv76a0yaNMlSqRIRERHJgkVvjPbZZ5+hbdu2iIiIQEREBNq1a2dwG5Nz587pr2QFgOHDh2PNmjVYvHgx2rZti48//hg7duxA9+7dLZkqWZhKpcK8efMMDpuTbWD/2Db2j21j/9i22tY/FruPHRERERHVLD7KgIiIiEgmWNgRERERyQQLOyIiIiKZYGFHREREJBMs7MhiYmJi0LlzZ3h4eKB+/foYNmyYwT0KyXbExMRAoVBg2rRp1k6F7rt27RpGjx4Nb29vuLq6okOHDjh16pS10yIAhYWFeOONNxAUFAQXFxc0bdoUCxcu1D9BiWre4cOHMWTIEPj7+0OhUGDXrl2S94UQmD9/Pvz9/eHi4oLevXvj7Nmz1knWgljYkcUcOnQIkydPxvHjxxEXF4fCwkJEREQgOzvb2qlRGYmJiVi7di3atWtn7VTovrt376Jbt25wcnLCvn378Ntvv+GDDz7gk3VsxKJFi7BmzRqsWLECycnJWLx4MZYsWYLly5dbO7VaKzs7G+3bt8eKFSuMvr948WLExsZixYoVSExMhJ+fH/r164fMzMwaztSyeLsTqjE3b95E/fr1cejQIfTs2dPa6dB9WVlZePjhh7Fq1Sq8/fbb6NChA5YuXWrttGq9mTNn4scff8SRI0esnQoZMXjwYPj6+mL9+vX6tieffBKurq4G92ulmqdQKLBz504MGzYMgG60zt/fH9OmTcOMGTMAAHl5efD19cWiRYvw0ksvWTHb6sURO6oxxTeirlu3rpUzodImT56MQYMG4dFHH7V2KlTK7t27ERISgqeffhr169dHx44dsW7dOmunRfd1794d33//Pf744w8AwM8//4wffvgBAwcOtHJmZMyFCxeQmpqKiIgIfZtKpUKvXr1w9OhRK2ZW/Ux+ViyROYQQiI6ORvfu3dGmTRtrp0P3ff755/jpp5+QmJho7VSojL/++gurV69GdHQ0Zs+ejRMnTmDq1KlQqVQYM2aMtdOr9WbMmIH09HS0bNkSDg4OKCoqwjvvvIPnnnvO2qmREampqQAAX19fSbuvry8uXbpkjZQshoUd1YgpU6bgzJkz+OGHH6ydCt135coVvPrqq/juu++gVqutnQ6VodVqERISgnfffRcA0LFjR5w9exarV69mYWcDtm/fjk8//RRbt25F69atkZSUhGnTpsHf3x9RUVHWTo/KoVAoJH8LIQza7B0LO7K4V155Bbt378bhw4fRqFEja6dD9506dQo3btxAp06d9G1FRUU4fPgwVqxYgby8PDg4OFgxw9qtQYMGaNWqlaQtODgYO3bssFJGVNo///lPzJw5EyNGjAAAtG3bFpcuXUJMTAwLOxvk5+cHQDdy16BBA337jRs3DEbx7B3PsSOLEUJgypQp+PLLL3HgwAEEBQVZOyUq5ZFHHsEvv/yCpKQk/SskJASjRo1CUlISizor69atm8Htgf744w8EBgZaKSMqLScnB0ql9CfUwcGBtzuxUUFBQfDz80NcXJy+LT8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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "cell_type": "markdown", "id": "678c7b69", "source": "### GPAC Interpretation\n\nIn the GPAC table, look for a **column that becomes approximately constant** (values near zero from some row onward):\n\n- The **column index** is the candidate AR order $n_d$.\n- The **row where the constant pattern begins** is the candidate MA order $n_c$.\n\nFor Series A, column 1 of the GPAC becomes approximately constant starting at row 1, indicating an **ARMA(1, 1)** model ($n_d = 1$, $n_c = 1$).", "metadata": {} }, { "cell_type": "markdown", "id": "a2cc8060", "source": "## Step 3 — Estimate Parameters\n\nWe fit an **ARMA(1, 1)** model — the structure indicated by the GPAC — using `estimate`, which minimises the sum of squared one-step prediction errors via the Levenberg–Marquardt algorithm.\n\n`pmoddisp` prints the estimated parameters with ±2σ confidence intervals and a confidence-interval plot. `pmodpzplot` shows the pole-zero map for the noise transfer function $H(q) = C(q)/D(q)$, confirming stability and invertibility.", "metadata": {} }, { "cell_type": "code", "id": "18188f57", "source": "pmod = pmodel('arma', nc=[1], nd=[1], diff=[0], per=[])\npmod, trec, stat = estimate(pmod, y)", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:20.622809Z", "start_time": "2026-06-09T18:47:20.311880Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 0/100 Time 0.0007948875427246094 PMODMSE 0.18876863441748454/0 Gradient 34.47996692994865/0.0001 mu 0.001/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 10/100 Time 0.1499190330505371 PMODMSE 0.09816324220471359/0 Gradient 0.0028234427030654425/0.0001 mu 1.0000000000000006e-10/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "6.114089507982792e-05 0.0001\n", "Epoch 15/100 Time 0.22534489631652832 PMODMSE 0.09816323622692254/0 Gradient 6.114089507982792e-05/0.0001 mu 1.0000000000000009e-15/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ESTIMLM, Minimum gradient reached, performance goal was not met.\n", "\n", "\n" ] } ], "execution_count": 5 }, { "cell_type": "code", "id": "184e9cb0", "source": "pmoddisp(pmod, stat)\npmodpzplot(pmod)\nplt.show()", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:24.982185Z", "start_time": "2026-06-09T18:47:24.890384Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " c1 -0.5536 0.1762 ( -0.7297, -0.3774)\n", " d1 -0.9010 0.0936 ( -0.9946, -0.8073)\n", "\n", " Residual std σ = 0.313310\n", " Residual var σ² = 0.098163\n" ] }, { "data": { "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 6 }, { "cell_type": "markdown", "id": "27257aee", "source": "## Step 4 — Validate the Model\n\nA well-fitted ARMA model should leave **white residuals** — uncorrelated errors with no remaining structure. We check this in three ways:\n\n1. **Theoretical ACF** — `partoacf_pmod` computes the theoretical autocovariance function of the fitted model using the Yule-Walker method. Overlaying it on the experimental ACF from Step 2 confirms that the model captures the correlation structure of the data.\n2. **Residual ACF** — plot the ACF, PACF, and GPAC of the residuals with `uniAnal`. All values should fall within the 95% confidence bounds (dashed lines).\n3. **Statistical test** — `uniChi` performs the portmanteau chi-square test on the residuals. The null hypothesis is that the residuals are white noise; a p-value > 0.05 indicates an adequate model.", "metadata": {} }, { "cell_type": "markdown", "id": "cce6e803", "source": "### Check 1 — Theoretical vs Experimental ACF\n\n`partoacf_pmod` uses the Yule-Walker equations to compute the exact autocovariance function implied by the fitted ARMA polynomials and the noise variance. Close agreement with the experimental ACF from Step 2 confirms that the model has captured the dominant correlation structure.", "metadata": {} }, { "cell_type": "code", "id": "92edb044", "source": "# Noise variance estimate from one-step prediction errors\nvar_e, _ = pmodmse(pmod, y)\n\n# Theoretical autocovariance function from the fitted ARMA(1,1) model\nlagmax = 21\nacf_theory, _, _ = partoacf_pmod(pmod, var_e, lagmax)\n\n# Experimental ACF from Step 2: uniAnal returned acf of shape (1, 2*na+1)\n# with na=20, so index 20 is lag 0; take the positive-lag half\nacf_exp = acf.squeeze()[20:20 + lagmax]\n\n# Normalize both to lag-0 = 1 for a shape comparison\nacf_theory_norm = acf_theory / acf_theory[0]\nacf_exp_norm = acf_exp / acf_exp[0]\n\nlags = np.arange(lagmax)\n\nfig, ax = plt.subplots(figsize=(10, 4))\nax.stem(lags, acf_exp_norm, linefmt='C0-', markerfmt='C0o', basefmt='k-', label='Experimental')\nax.plot(lags, acf_theory_norm, 'r-o', markersize=5, linewidth=1.5, label='Theoretical (ARMA fit)')\nax.set_title('Autocorrelation Function: Experimental vs Theoretical')\nax.set_xlabel('Lag')\nax.set_ylabel('Normalized autocovariance')\nax.legend()\nplt.tight_layout()\nplt.show()", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:31.236618Z", "start_time": "2026-06-09T18:47:31.162630Z" } }, "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 7 }, { "cell_type": "code", "id": "6191dab9", "source": "e = y - pmod.predict(y)\nprint(f'Residual std: {e.std():.4f}')\nacf_e, pacf_e, gpac_e = uniAnal(e, na=20, nump=10, nrg=6, ncg=6)", "metadata": {}, "outputs": [], "execution_count": null }, { "cell_type": "code", "id": "c2605612", "source": [ "#uniChi(pmod, y)\n", "\n", "passed, q_arma, n_arma, pval = uniChi(pmod, y)\n", "\n", "print(f'\\nChi-square test on u residuals: Q={q_arma:.2f}, df={n_arma}, pass={bool(passed)}, pval={pval:.3f}')\n", "print('(pass=True means residuals are consistent with white noise at 95% confidence)')\n" ], "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:35.919367Z", "start_time": "2026-06-09T18:47:35.898139Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pval: 0.1040045634909047\n", "alpha: 0.05\n", "pr: 0.8959954365090953\n", "q: 25.82270352305808\n", "\n", "Chi-square test on u residuals: Q=25.82, df=18, pass=True, pval=0.104\n", "(pass=True means residuals are consistent with white noise at 95% confidence)\n" ] } ], "execution_count": 8 }, { "cell_type": "markdown", "id": "682f87a3", "source": [ "## Conclusion\n", "\n", "The residual ACF is within the 95% confidence bounds (approximating an impulse function), the first row of the GPAC is approximately zero (indicating white noise) and the chi-square test is passed (p-value > 0.05), therefore the **ARMA(1, 1)** model is validated. .\n", "\n", "The fitted parameter table from `pmoddisp` shows the estimated values with ±2σ confidence intervals, and none of the confidence intervals includes zero, which would indicate that a parameter could be removed. The pole-zero map from `pmodpzplot` confirms whether the AR and MA polynomials are stable and invertible — all poles and zeros should lie outside the unit circle. Also, there is no approximate pole/zero cancellation, which would indicate that the model orders could be reduced.\n", "\n", "If the residuals show remaining structure, return to **Step 2** and explore higher-order structures, or use `selpmod` for an automated grid search over ARMA orders." ], "metadata": {} }, { "cell_type": "markdown", "id": "74108452", "source": "## Automated Model Selection with `selpmod`\n\n`selpmod` performs a grid search over a set of candidate ARMA structures, estimating each one and ranking by AIC and BIC. We search over $n_d \\in \\{1, 2, 3\\}$ and $n_c \\in \\{0, 1, 2, 3\\}$ — 12 combinations — to verify that the **ARMA(1, 1)** structure identified in Step 2 is indeed optimal.", "metadata": {} }, { "cell_type": "code", "id": "eef43ab8", "source": "arma_spec = {\n 'models': [{\n 'type': 'arma',\n 'nc': [0, 1, 2, 3],\n 'nd': [1, 2, 3],\n 'diff': [0]\n }]\n}\nresult = selpmod(arma_spec, y)\naicmod = result['arma']['aicmod']\nbicmod = result['arma']['bicmod']\naicstat = result['arma']['aicstat']\nbicstat = result['arma']['bicstat']", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:40.137045Z", "start_time": "2026-06-09T18:47:40.012225Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Selecting the best ARMA prediction model\n", "arma: Combination 1 out of 12 total [nc=0, nd=1]. aic = -2.2262, bic = -2.2096\n", "arma: Combination 2 out of 12 total [nc=0, nd=2]. aic = -2.2818, bic = -2.2485\n", "arma: Combination 3 out of 12 total [nc=0, nd=3]. aic = -2.2771, bic = -2.2271\n", "arma: Combination 4 out of 12 total [nc=1, nd=1]. aic = -2.3008, bic = -2.2675\n", "arma: Combination 5 out of 12 total [nc=1, nd=2]. aic = -2.3013, bic = -2.2513\n", "arma: Combination 6 out of 12 total [nc=1, nd=3]. aic = -2.2966, bic = -2.2299\n", "arma: Combination 7 out of 12 total [nc=2, nd=1]. aic = -2.2979, bic = -2.2479\n", "arma: Combination 8 out of 12 total [nc=2, nd=2]. aic = -2.2818, bic = -2.2151\n", "arma: Combination 9 out of 12 total [nc=2, nd=3]. aic = -2.2846, bic = -2.2013\n", "arma: Combination 10 out of 12 total [nc=3, nd=1]. aic = -2.2983, bic = -2.2317\n", "arma: Combination 11 out of 12 total [nc=3, nd=2]. aic = -2.2809, bic = -2.1975\n", "arma: Combination 12 out of 12 total [nc=3, nd=3]. aic = -2.3180, bic = -2.2180\n" ] } ], "execution_count": 9 }, { "cell_type": "code", "id": "26ab964d", "source": "print(f'Best AIC model: ARMA(nd={int(aicmod.nd[0])}, nc={int(aicmod.nc[0])})')\nprint(f'Best BIC model: ARMA(nd={int(bicmod.nd[0])}, nc={int(bicmod.nc[0])})\\n')\n\nprint('=== Best AIC model ===')\npmoddisp(aicmod, aicstat)\npmodpzplot(aicmod)\nplt.show()\n\nprint('=== Best BIC model ===')\npmoddisp(bicmod, bicstat)\npmodpzplot(bicmod)\nplt.show()", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:47:43.346150Z", "start_time": "2026-06-09T18:47:43.185307Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best AIC model: ARMA(nd=3, nc=3)\n", "Best BIC model: ARMA(nd=1, nc=1)\n", "\n", "=== Best AIC model ===\n", "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " c1 -1.6897 0.1603 ( -1.8500, -1.5294)\n", " c2 1.6609 0.1663 ( 1.4946, 1.8271)\n", " c3 -0.6489 0.1576 ( -0.8065, -0.4912)\n", " d1 -2.0100 0.0935 ( -2.1035, -1.9165)\n", " d2 1.9745 0.1165 ( 1.8580, 2.0910)\n", " d3 -0.9062 0.0861 ( -0.9923, -0.8202)\n", "\n", " Residual std σ = 0.304386\n", " Residual var σ² = 0.092651\n" ] }, { "data": { "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "=== Best BIC model ===\n", "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " c1 -0.5536 0.1762 ( -0.7297, -0.3774)\n", " d1 -0.9010 0.0936 ( -0.9946, -0.8073)\n", "\n", " Residual std σ = 0.313310\n", " Residual var σ² = 0.098163\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "metadata": {}, "cell_type": "markdown", "source": "Notice that the best AIC model increased nc and nd by 2. However, when we look at the pole / zero plot, we see that there are pole / zero cancellations. After the cancellation, we revert back to the original model. The best BIC model is the same as the original model we selected from the preliminary analysis.", "id": "6635f3b9519165c" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }