ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
01_stationarity_and_arima.ipynb
(760664B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "# Time Series Analysis and Univariate ARIMA Models"
8 ]
9 },
10 {
11 "cell_type": "code",
12 "execution_count": 1,
13 "metadata": {
14 "ExecuteTime": {
15 "end_time": "2018-10-31T19:48:03.716135Z",
16 "start_time": "2018-10-31T19:48:03.710328Z"
17 }
18 },
19 "outputs": [],
20 "source": [
21 "import os\n",
22 "import sys\n",
23 "import warnings\n",
24 "from datetime import date\n",
25 "import pandas as pd\n",
26 "import pandas_datareader.data as web\n",
27 "import numpy as np\n",
28 "from numpy.linalg import LinAlgError\n",
29 "\n",
30 "import statsmodels.tsa.api as tsa\n",
31 "from statsmodels.graphics.tsaplots import plot_acf, acf, plot_pacf, pacf\n",
32 "from statsmodels.tsa.stattools import acf, q_stat, adfuller\n",
33 "import statsmodels.api as sm\n",
34 "from scipy.stats import probplot, moment\n",
35 "from sklearn.metrics import mean_squared_error\n",
36 "\n",
37 "import quandl\n",
38 "import matplotlib.pyplot as plt\n",
39 "import matplotlib as mpl"
40 ]
41 },
42 {
43 "cell_type": "code",
44 "execution_count": 2,
45 "metadata": {
46 "ExecuteTime": {
47 "end_time": "2018-10-31T19:28:09.233060Z",
48 "start_time": "2018-10-31T19:28:09.228448Z"
49 }
50 },
51 "outputs": [],
52 "source": [
53 "%matplotlib inline\n",
54 "warnings.filterwarnings('ignore')\n",
55 "plt.style.use('ggplot')"
56 ]
57 },
58 {
59 "cell_type": "code",
60 "execution_count": 3,
61 "metadata": {
62 "ExecuteTime": {
63 "end_time": "2018-10-31T19:48:04.476531Z",
64 "start_time": "2018-10-31T19:48:04.455599Z"
65 }
66 },
67 "outputs": [],
68 "source": [
69 "def plot_correlogram(x, lags=None, title=None): \n",
70 " lags = min(10, int(len(x)/5)) if lags is None else lags\n",
71 " fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(14, 8))\n",
72 " x.plot(ax=axes[0][0])\n",
73 " q_p = np.max(q_stat(acf(x, nlags=lags), len(x))[1])\n",
74 " stats = f'Q-Stat: {np.max(q_p):>8.2f}\\nADF: {adfuller(x)[1]:>11.2f}'\n",
75 " axes[0][0].text(x=.02, y=.85, s=stats, transform=axes[0][0].transAxes)\n",
76 " probplot(x, plot=axes[0][1])\n",
77 " mean, var, skew, kurtosis = moment(x, moment=[1, 2, 3, 4])\n",
78 " s = f'Mean: {mean:>12.2f}\\nSD: {np.sqrt(var):>16.2f}\\nSkew: {skew:12.2f}\\nKurtosis:{kurtosis:9.2f}'\n",
79 " axes[0][1].text(x=.02, y=.75, s=s, transform=axes[0][1].transAxes)\n",
80 " plot_acf(x=x, lags=lags, zero=False, ax=axes[1][0])\n",
81 " plot_pacf(x, lags=lags, zero=False, ax=axes[1][1])\n",
82 " axes[1][0].set_xlabel('Lag')\n",
83 " axes[1][1].set_xlabel('Lag')\n",
84 " fig.suptitle(title, fontsize=20)\n",
85 " fig.tight_layout()\n",
86 " fig.subplots_adjust(top=.9)"
87 ]
88 },
89 {
90 "cell_type": "markdown",
91 "metadata": {},
92 "source": [
93 "## Download Series"
94 ]
95 },
96 {
97 "cell_type": "markdown",
98 "metadata": {},
99 "source": [
100 "Load monthly industrial production and daily NASDAQ stock market index:"
101 ]
102 },
103 {
104 "cell_type": "code",
105 "execution_count": 4,
106 "metadata": {
107 "ExecuteTime": {
108 "end_time": "2018-10-31T19:28:11.598623Z",
109 "start_time": "2018-10-31T19:28:09.253057Z"
110 }
111 },
112 "outputs": [],
113 "source": [
114 "industrial_production = web.DataReader('IPGMFN', 'fred', '1988', '2017-12').squeeze().dropna()\n",
115 "nasdaq = web.DataReader('NASDAQCOM', 'fred', '1990', '2017-12-31').squeeze().dropna()"
116 ]
117 },
118 {
119 "cell_type": "markdown",
120 "metadata": {},
121 "source": [
122 "## Additive Decomposition"
123 ]
124 },
125 {
126 "cell_type": "markdown",
127 "metadata": {},
128 "source": [
129 "Time series data typically contains a mix of various patterns that can be decomposed into several components, each representing an underlying pattern category. In particular, time series often consist of the systematic components trend, seasonality and cycles, and unsystematic noise. These components can be combined in an additive, linear model, in particular when fluctuations do not depend on the level of the series, or in a non-linear, multiplicative model. "
130 ]
131 },
132 {
133 "cell_type": "markdown",
134 "metadata": {},
135 "source": [
136 "These components can be split up automatically. statsmodels includes a simple method to split the time series into a trend, seasonal, and residual component using moving averages. We can apply it to monthly data on industrial manufacturing production with both a strong trend and seasonality component, as follows:"
137 ]
138 },
139 {
140 "cell_type": "code",
141 "execution_count": 5,
142 "metadata": {
143 "ExecuteTime": {
144 "end_time": "2018-10-31T19:28:11.607204Z",
145 "start_time": "2018-10-31T19:28:11.601535Z"
146 }
147 },
148 "outputs": [],
149 "source": [
150 "components = tsa.seasonal_decompose(industrial_production, model='additive')"
151 ]
152 },
153 {
154 "cell_type": "code",
155 "execution_count": 6,
156 "metadata": {
157 "ExecuteTime": {
158 "end_time": "2018-10-31T19:28:12.293320Z",
159 "start_time": "2018-10-31T19:28:11.608585Z"
160 }
161 },
162 "outputs": [
163 {
164 "data": {
165 "image/png": 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SNGrlhqvt3Ibp3ANzmonqTekr8R5+Fjt6MPbVZ/B6D4RCRZGff0RmTnJl1q/vjAHY/ScE5IbQQsm9MaZ1e5cL9+nbULAIpuX10LoD5pa7IaQAGA+CQ1zAk78A5tpb0r92e3e5npN9u+HwQShWElPqSuTHGZhmVyNrV2AXh+NTuxH2649g905M6w5Q4gpMzfqYwLxI7UbYd1/DDuuP92B/l2sESGKC+3fZsMoFNm1vOG2ZZ2MMpklrZPqnmJvuxOQ6fSl6AJMv60W6Mu3BadmyJQMGDEi1bPr06VSvXp2xY8dSvXp1pk9344RXr17Nvn37GDt2LA888ADvv/9+lg8kJzLG8P777zNr1iyaNm1Ks2bN8Pf35+mnn85wu+7du3P48GHatm3LuHHjqFy5Mvny5cvyfp988kk6dOjAbbfdRrly5c71NJRSSl0gkpSE7NyW4dtTSUjAzpmGHfAA8v5IZMJo5LPxJ4ObCnjdH8Hkyefe1m7dgKxdAdZiarnelTRvNvPkw3v8JShZBvnqI+yYF2D/HrzeAzFXVsrScZtajVyQUzrr/80xxuTI4AZcGWrv+TF4DZpjjMG78Q44fACZ+YWW9b0AbPgM7DuvutwuESQxEfv5+JQetWNHYdMaJOqISzj/+0/MFeVdrtjHb2AH9cIunX/6EsL792BfeRK2b8K074Jp0MwFA0H5MXWb4N3XD1OslBvGufoX1wOTOxBTr2mqdky5KniPvwwx0djXnkmbe7J6KWxeh7nxdkyefJjcgXiNW2FKXJH677BkGZc0nzsPpvnpC2IAmIrVXbJ81BHskH7Y4f2RT950Qz27PeT+rozBlCyDKVgk1VAz07AlBOaBoxEuEPLxceuGFsR4Jz937oGpdxUy9RNk3cpU+5aD+7Djh7vAb+EPEH3MBYbbN7vgs2BRzK33YRq1hHUr3PYrl2Da3YDX+R537oFuAl1TpzFen+chOgr7yuPYb790eUofjIL1KzHdHsJrd2Omc9iYtjdgHnjS9VqfR0ay8Jd+4MABhg8fntyD06dPHwYPHkxISAiRkZEMHjyYMWPG8O6771KlShWuuuqqNOtlZs+e1DdVbGzsaYeAna0zzcE5W0lJSSQkJBAQEMCff/7JrbfeyqJFi8iVK3v+Q5Ad1+pyFxYWxqFDhy72YaiLTO8Ddcr5uBdk39/YD0fBji2Y67vg3dQt3fXsB6+7Es3V6uB16OrGpvv4QkhoqocB+/k7yJK5ULkm7NjqxsRnMK5eROBoBOzd7doqknHJ5lTb2iRITMz0DeqlSkRcIPnLfEyr693QHi9tD4F+J6QlNgmORELsMQjMlyZ3JNW6Ii7f6bsp4OsHiQnu/o6OckF65x6YVu2xT9zlyn3nDULmzsJ78U1MkRLuHl67HDvjM9i1A4oUx9RqhClXBarUwvj5IQf2YF8dAEkJeL0GYspXOe3x2GkTkdlfg48vpklrvG690j/uXTtcBS8fH9eTU6wUBQJzc/Dh21zvzXOjM+9R+usPiIvFVKiWtet6cB/27aFuaNkt3TFXtctS3oyd9QWyZhne06+etqdI4uOxw5+CQwfw+r0MBcKQlYuRrz4CDKZ1e0y7G5N7RMRa2LkN8oe6yoN7d2MH9QL/APDxxRv6bnJgk2ZfRyPd997GNcnLTOd78K6+KUvX4UwVy2IVtbMqMnD06NHkoCUkJISoKDeOMCIigrCwlBs/NDSUiIiIdAOc8PBwwsPDARg2bFiq7QD279+P72n+4c5FdrT5b3Fxcdx8880kJCQgIrz66qvZGoD4+/unuX4qY76+vnrNlN4HKllW7wV7JMJVHvvHw07inl0cnzOD2O+/xuTKhV+dxpz47ksCixQlsOOtqbY/sfE3Ipf+ROAtd5GvW88M9xVXtzFH538La5aR++pOBBUqlPmJFCwI5Spmvt5/kDzxEtGfvEXsjM/JnS+IfPc8mmad/+p3goiQ+McWfMtWSA6y7fFYjofPJHbmZOzB/W5FX19CnnudXDXqpdtG9EdvEPvdFHK3u4F8PfpwfOEcEjauwSesML5lyuPfuBXG84hq2objC+dAUhIBra8nuFqtlIbaXI+0upb4ZQuI/eYLEsJnILO/xitYhMCbuxEzdSLGJlFgyNv4lso4DSKh1bVEfDcF7AlCOt6K3+n+bcPCSHzlbSKffxRGDSL/y28RO2MiHDlMSP9XyFW4cPrb/auNMxIWhoz62L1Y8A/I+nZ39wZ6Z7pa0rMjOPxED+zLfZOX5apZn6Dez+CTXiGRf36/hIURUbEaCZvXk7dbT/KUuiLj83h5HDbyMEkH9oIx5KqYtSAvO53Xp/30OoNO1zXVtm1b2rZtm/zzv9+YxMfH43OekxYvVA9OQEBAcsnnU7Jzv/Hx8frG6QzpWzoFOfM+kMQEzRG4CLJyL8i6FS7PpX0XvI5dAbA/TEO+mgCeh6nTBHPrvSQG5Yd3XuXYh2OIjorCXN0JY4yrkvTOaxASRlyrDsRntr8iJZM/x1eqmePu1UtSh66Y/XuInT2NuDY3YgLzpPp1TvxOuBDs3FnI5Hcx3XrhtbjW3asv9XV5IOWrYK6+CZM3CDtzMpHDnsZ7cqjLQ/lnG9M/Rb79EtO6A/Gd7+VEdAzUaQp1mpJwcp3oiJPlgms2gh+/AV9fTrS7Kf1rXr469KuOdyIefl+LnfEZx94ZAbnz4D3xMkcCgyCzv6HgMAgtBHnycjQ4NOP1c+eDvi9iXxvA4QE94dhRTOsORIUWyXQ/5+xY2kT9c+b5YZ4a5optIJj8oSTWakikMVk6H2l7AyQmEtuoNcezev5hRd3/Z+P1ytYenODgYCIjI5OHqAUFBQGux+afN+nhw4ezNDwtPTpGNuv0Wil1ebBzpiHffok3/IM0pTcl5hgcj4UCYekOrVHn17+nCZDf17rE2aREZNUS6NjVDceZNwvKVcF78ClM/gLJ63v39cO+/7qrGPXHZryr2iKb17nKR/f1y9IbWxMcAoWLw5EIOFXpTJ0z07ojsvQnZOl8lzj9H2KXLYD443jNr01eJvv3IFM/cp/nTEOatUNWLHbV/P6VlO+VrYgd+hR21CBMo5Ync7wMsn1TcoK66Xp/pnkXlK8CpcpiqtVzRS4yYHL5Q436eNXqwpplUKgopsQVWTpfY4zLd8ni0EtTtCTe4y9iRzyLF1oIOt2Rpe1yKlOkOKZI8bPbtlYjfM7DRMMXy1kFOPXq1WPBggV06tSJBQsWUL9+/eTls2fPpmnTpmzdupXAwMCzDnA8zyMxMfGCDCm7lCUmJuKdRa1zpVTOIkcikG8mQXwc/LEZ/jFbteza4SZHizsOvr6Yes0wdz+ao0rzXi7EWmTSu8i6Fa4CWeFiyLZN2DdfdlWLqtdDfpjqysrGHIOIg5gOt6YKbgCMXy68nv2ROdORqR9jVy1xv6hSy5WUzSLT4VY4HoPx016988WUKQ+ly7kqUq3aZ/4wfhHJ8Vhk/UpM3SapXmyIiEvUT0yEgAAICMw0f0MOH0Q+GguJCdgT8Xhtb3Q9NRNGg68f5qa7kC/eh9XLXA5N0ZKYk3O5nGIKFMR77AXspHeQ+d+5ymGnftegRXKSfGaM5+Hz3OgzuhbG86BO4zPaBnDFBs5k/RJl8AaPpUCBAkTanHtvqIxlGj2MHj2ajRs3cuzYMXr27EmXLl3o1KkTo0aNYt68eYSFhfH4448DULt2bVatWsWjjz5Krly56NUr/WSurAgICCAuLo74+Pjz9uXj7+9/Wc0pIyJ4nkdAwBmM3VRKXVQigkz7BFO6HKZuSkUfmf6pe1gxHrJ1E+ZkgCMRh7BjX3QPMLfcDX9tdxWB/Pzgzt45+uEMXMBwNhPOnfF+oo5A3qA0+7KzvkCW/oQpXQ7KV3bDyILyp9+GCDL5PeSn78DXDztqEN5tD2I/eB2CC7hKZceOugBn/Uo3aR0kT375b8YYzDU3IbUauiTrfMEQVuiM/s28Ri2zvK7KOtPiWle5autGN4FiDiQ2Cfvua64i1YNPQb2r3LI3h7hhR4kJKSsXKeGS4zOYPFOmTwRjoFod5IsPsLt3Ils3uPLg9/bFNGiOzJuF/XQcRB/D9Oib7t+uKV4KnyeGIAkn3JwpPj4QmC9NkYxLmckfik+BsOwfmqayTaYBzmOPPZbu8kGDBqVZZozhvvvuO/ejOtlWRnPNnI3/6thapVTOIct+Qr7/GuFkecxrb4E/tyJL5mLadUI2rUG2b3LrJiZg33gJ4mLx+g/DlHBj3m2+/Mh3X0JwCObGnDuEQnZud/NLPPmKCzD++bujkXDkMJQsm+UASKyFxIQ0lb7kz63YYU9h7u7jypueZJcvQmZ85sonb1kHvy5wM2ZXq4vX/eE0s5fLd1OQ+d+6nJn6zbAjnsW++RKEFsLr9xImOAQJyg8hYS7AORoJpcul6b35N1O4GBTO2rhxdWGYBs2RKROQBd9jcmqA880kWL8ScuXCLvwBn3pXubLF61ZgmrSBUle6Fx3HY5BZX2BHPuv+1oLTjpyRndtcoH/d/zAdb8O+8aKr0FexOuaG2zEny2mbdjcin78DYYUz7Wk0frnOqKy4UheSjv9SSqnz4N85G+muE3cc+fpj91BcrjIS/o2bkA3c/A3tu0BCPLJkHpKU5B5udu9wcwSUSEnoNZ3ugKMR7qGmWCm8f8yanbwva90s0qXKujlOLgL7/RSIj0M2rkkV4Mj6ldh3R7gZxYMLuLH8nbqdtuQpnHybPfZFOLAX7/mxyTksYi3283fcZJm//wYnAxz56w/kozFQrrIrk+rjC3t2IcvmI+EzsR+9gffIcykVo6KjkO+/gjpNMP+7x43df+RZ7Oyv8W57AFPA5QkYYzDV6iC/LoQT8ZgOXbPp6qnsZPwDMI1aID+HI3GxaXLeLjZZtcQl7F/VDkILIjM+d+WR50x3QyW7P5x6yNqVldzkkSMG4N3SHWo0SH5xIEcOu4kh8wZhrr0F4+eH12cwxEanmTjRNGnrSmm366RDYNUlTQMcpZQ6R3I8FvvaM+Drh9f1fkzZ9Mv0yndT4EgEXs+nMVdWQqrWQfbvxoQVcbPXB+ZBylWB+d/B7h3YX36CfMGY2qnHnRtjoNtDyP6/kY/GIkVLpAqA3FCrd90Y+XzBeFVqp+r1kH273UNMh67ZltshB/bCqqXu844tycvt/O9cL0rxUpjW9yBrV7ghX4f24d33xOnndZg5GTasdp+//RJz813u8y/zYccWCMyDbN+csp9J70BgXnetT1WlK14Kc3N3bHCouz4//4hp5iblOz5nBsTH4XW4NWV28orV8alYPc2xmOr13DBBwNRscC6XSV1Epn5z9zey5tdUPX8Xm2z/Hfv+6+474fYHIfoYMnMyduJb8MdmTNcH0hQaMeWq4D0yCPvRGOy4V9z8MZVqQL787iVKYgJej8eSq8YZHx83ZPJfjL8/PgNGXJDzVCo7aXa6UkqdA7EW++Fo+HsnRBzEDn0S+/EbyPHY1Ov99Qfy43RM41bJs8ub6nXx2t6IqdUwOS/ElKvs1l+7Atb+6oaOpPPQb3z98Ho+DYF5sONecVXWTu3rm0nI/O+gej2XM7Jkbsrv9v2NHTHQBVub157365G8n/AZ4Hmu+teOrW5ZQoIrqVypOl7/4XjNrsan9wBMl3th5RLseyPSnblc1q9yQU2TNpjGrV3i/r6/3f+mfuweBNt1gn27kZhoJCYatm/GXHV1usN1TKvroVIN5IsPkL27kMQEYmdNcQUA/lX6Nl2Va7geofwFIJN5OFQOdmUlyB+KrPj5Yh8Jsm0jdtEc7K8LXUGL/AXwHn4W45fL5dXUqA+/r4XAPJh/VDX7J1OxGt7L4zH39YPgAsiyhcjMSVCyjOv1rHfVBT4rpS4e7cFRSqlMyNFIiDyEuaJ86uVJScisL2DNUkyXezHN2iGzvkDmzEA2/ebemFaohhw7in3rFciXH/O/ezLclylQ0M06/cNUNwFcBm+WTXAIXs+nsSMGYN8dgddnEDJvlhuadlU7zF0PY4c9hfwwDWl2DRzYg319EFgLnods24SpVjf1OSUmgjFnNDxFDuyB2Bg39M4Y5Ggksjgc06gFlCzrEvcjD8O+3XAiHq9NR0xASo6l1+5GrAjIW2PPAAAgAElEQVQy5UNk3ixM2xtT2o44iP1gJBQrhbm9J8THImuWYUcMcEn+fn54t/eE2GgEYMdmV21OLKZq7bQHi6vG5N3dB/vyY9gh/TA16iORh/DuejhL52sCAjFtOrhZvy+TpOr/IuN5mPpXIfO+RWKjTztTe3aT6Cjs6Bcg/rhbkDcf3qPPpxo+5jW/BrtmGabFtan+dv7N+PhgGraAhi1OVlo74r539D5V/zEa4CilVAbkyGHssP4QdQRv1GcYf38kMQH58kNk+UJXbahBC1cwwBjM/+5BajXCfjgK+9oAKFcFkhLd9k8NPW0Fr38yV1ZGli+CIiUyTeI1V1bC3N4T+eRN7OjBrrpS3SaYO3u5PJLrbsGOewU7fpjL6QkIxOv3MnbCGGTbppTz3LvLPegtWwA+HqZOU0yLazClrsz4+hyLwg5/2gUbJa5wyfRrV0BSoutViTvuAo8/t7riCT6+kN6wr3Y3Ir+vRaZ/htRujAkthCQmuipSCYl4Pftj/P3B3x/T+R7km0mY6ztjWrV3yf9xsa4C3R+bIfIw5M4DZSqc/rqFFsR7bjT2o7HI8kX4liqLPU1AlB6vc48sr6tyLlO/GfLjDGT1stP2jGQ3Cf8GTsThPTEEAgKhQEFMvqDUK1Wr6+ZPqlk/y+0aYyDo7KbqUOpSpwGOUkrhkthl0Y+YanWTJ56TmGgXNEQcBBHYvtHNT7NmGTL/W6jTBK9Bc6jVMNUbUlOuMt6gMcjCH9x6h/a7Mqz/6gE6rfJVYPkil3yfhTevXrOrsTu3IQtmQ5VaePf2SxmjX6MBFC0Ja5a5QOzWHpigEFfk4OcfXTGD+DjsK0+4HqM6TQBBls5HfpnnSs+eHDaX5pqJYD99C2KiMZ26uQkwt2zANG2LadYOU7y0KyXr44Ps2IysX+VmRU/nDbQxBu+Oh7DP98Z++hZeh67Ioh9g+++YB57CFCmR6nw5mTuTvH1AIBQv5fJw9u6CyjUz7YU6NaeHLF9EUJUaHNW33P89V5SHsMLIikVwEQIciYl2k8XWaYxJJ/A/xRjjemaUUlmiAY5S6j/PJeW/j8z/FilQ0L1JBexbQ2H/33i9B2LfHoZsWoupUhtZt9IlsD/w5Gkfok1AbszVnZC2HSHiECascJaPx9RuhGxY7SooZXWbrvdDhWqYmg1SFQ4wnof38LNw7Ghy7g/g8g/mzYLdO5BdOyDuOF7/4Sk5QFFHsMP7Y8e9jNf/1XRnw5ZlC2DVEszNd+Fd9z9o3yXtcfnlghJlkDW/wt5dmFu6n/4cQgu6QOmL97HrV7llbW/Eq5+13AFTthKy+EdISsJ0SHss6W7jeZiGLfAL0zkv/ouMMW6Y2g/TkKhICAs75zZl5zZXWOPAXjeBZvmqbg6mdCq1ydyZcDwWr/2t57xfpVQKDXCUUpc1+W05FC2OKXT6eUhk7jdu/pMGLZANq9zQsrjjYAxe74EuT6VsBTeEylpk3QpM1dpZylMxng+cQXADJyeZe/jZM9vG1++081aYQkWhUNHUy8pVRgDZtglZvdT9/h8BkAnKj9fneezQp7BjX8B74hVMgZSHP9n3N/L5eLiyEuaamzI+tjLlkZ++d5+r1cl43dbtIXcgJk9eKFbaHXtWXVkRFs527VTNeD9KnWKatHFzUy2ZB2Wz2MuaDtmwGjvrC9i20S3IlQuSklz58XzBeI+9gPlHUQpZuQT5cTrUapS14hZKqSzTKmpKqcuW/f5r7JsvYV/og10c7pJu/0U2r0O+/NDNf3JvXzdbfUI8FCqK99yo5CR8U6kG7NzuKhkdOwo10p+9/lKRXMxgxc+wZT2mYdrhcKZQMbxHB8Gxo9gRA5CIg8DJstjjhoCPD959/dKUrE3jipO5MMEFoPgVGR+X54PXtC2mVqMzC24gpTx3keKY0EJntK367zJFSkD5KsiiH9P9jsgK2fMXdsxgV4yk6/14wz/Ee+NLvDGT8B57Afz8sCOfRbasRzauxr430uXFFS6O1/X8TJCulEqhPThKqcuOiLhSwlM/xtRtikRHufli1i7Hu/X+5J4ISTjhckjCCuP16OsmxitVFm/YB+Dnl+rB3VSq6eaimPqJqzJ2GfQQJBczAFfxLL11ylTAe+wF7JjB2OH9MVXrIPt2w4E9Lj8nC71Tpkx5BDDVamdvNafCxSG00Mk8IqWyzlx1NTJhNAkb10Dhkkh0FMRGu4qDhYtnPonvT9+7gH/gyNSTZ/oHQNXaeE8OxY4Y6HqHAXx83TxU7btkOMGtUurs6F+VUuqyISLIoh+QubNgz1+Yuk0x9z+BMbiA55tJ2A2rXfWt1u2JmT8T9v2N1+d5V6HrJOMfkLbxshUglz/s3AZlKqSZAfySdGVlWL7IzSOTwRA+c2UlvL4vYSe9g6xZBvHHMbc9mGFSdCpFSmDadMQ0yd4kbmMM3gvjQB8Y1RkydZsik98l9ruvsfmCkTkzQGzy73jwqVRBjqz4GbtsAd7dfVwRjaXz3ffNab4XTFhhvP7DkeULMcVKQbn0c3KUUueH/ldAKZXjSVJSuvkucjQSDJiTpVBl+SJk4ltQqizm7kcxjVolb2euvQWpdxV28nvItInInOnEnIjH1LsqzVww6TG+fq662YbVmOqX9vC0U0zFqq5npXGrzNctUz55hnMROaOeGON5rgjCBfDPQFWprDL+/piGLYg/lSt2VTuoWA127UDmTIcfpmKuvQUAu2gOMnEciGA/HOVKNx+PxbS8LuN9hIRirs44X00pdX5ogKOUyrHEWuT7r5BZX2Du6Il3sqqYrFmGnTfL5cMULob34lvugXv9SsgbhDfwdTfc7F9MWGF8Hn4W+WMz9tsv8fb+Bbfem+XjMZVruepm1TMPiC4FpkQZvAEjoHTGc92k2U7LKavLkGl3I37RUSQ2vxZTuSYA0rAlRBxCpk7ERh1BDh+AVb9A1dqYSjWQrz9Gfv8Nipd2PaJKqRxBAxylVI4ksTHY90fCuhUQlB/59C2kYBHkz63IVx+5ymRV67igZs9fSLFSyKbfMJVrphvc/JMpWxGfR54jLCyMQ2dQGti0vA5TsEimk29eSkwGk2Eq9V9iChUjZOBrqb4TjDHQ/RHkwB43IWdYYfc90OU+NxTyrz+Q5YvcMg38lcoxNMBRSl1QYpNg01o3nOxoBMTFYWrUw1xzU3JSv4hgP34DNq7G3N4T07C5K1c8ejAkJmDqN8Pc8xjERGGfvAdZs8w9XByJgJNvXrOD8Q+AOo2zrX2lVM5jAnLjDXwdEhLSDoHs/ghUr4fJ4lxNSqkLQwMcpdQFI3t3u1Kqhw9AYB4oWBREkKmfIBvXuEpmIaHI4nA3geQt3fFaXQ+A98hz2Nefw9RqiOnSwwVD+UOhTAXkt18hIDdA8tASpZQ6X4znQTr5XcY/IEs5bEqpC0sDHKXUBSHWYj8eC3HH8R58Cmo2xPj5ucpni8ORSe9gn7kfqteFTb9BxeqpEnJNoaJ4Q99LO1dLzQbI9E/d/BWFimapbLFSSimlLl860adS6oKQhbNh+++u96XeVRg/P+Bkad+r2uE9PxbTpgP8sRn8/PB6PJYmlya9Me6mVkP34c+t2nujlFJKKe3BUUqdf/8uIyyRh5Gpn0DlmpjGrdPdxhQqhuncA7m5OyScwJwccpapYqVcwYFD+zFVap2Pw1dKKaXUJUx7cJRS55UkJmBfewb70ZiUZQtnQ1wcXrdemVYaMj4+WQ9ucL06pk5j8PGFijXO+riVUkopdXk4px6cWbNmMW/ePIwxlCxZkl69enHkyBFGjx5NdHQ0ZcqU4ZFHHsFXZ5VW6j9DZnwOWzcif/2B3NHL5dmsXwVlK2AKFc2WfZqOt2EatsTkyZst7SullFLq0nHWPTgRERF8//33DBs2jJEjR2KtZcmSJXz66ae0b9+esWPHkidPHubNm3c+j1cplUNIbDR23izkwN6UZZt+Q36YCiXKQHwcbFmPHIuCndsw1epk27GYgNyYUmWzrX2llFJKXTrOqWvFWsuJEyfw8fHhxIkT5M+fnw0bNtCnTx8AWrZsyZQpU7j66qvPy8EqpXIGSUzAvjUUNq9DAMpXgfh42LMTChfH6/cStn8PZO1yiI4CEUzV7AtwlFJKKaVOOesAp0CBAnTs2JGHHnqIXLlyUbNmTcqWLUtgYCA+Pj7J60RERKS7fXh4OOHh4QAMGzaMsLCwsz2ULPP19b0g+1E5n94LaUlCQnJlswzXEyFq7MvEbV5Hvvv6YmOiif9lPl5IAXxrNyTwupvxKVyMyOr1SNqwCj+bSHy+YMLqNMSc/G7IKfQ+UKfovaBA7wOVQu+FS9tZBzjR0dEsX76ccePGERgYyOuvv86aNWuyvH3btm1p27Zt8s+HDh0620PJsrCwsAuyH5Xz6b2Qml04G/lsPFStg9e0LdQ6fTBi581Cfvoec8PtxDY8OcFd644kAUlAPMChQ9hKNZCVS0iKPIyp2YDDkZEX6GyyTu8DdYreCwr0PlAp9F7ImYoVK5al9c46B2fdunUUKlSIoKAgfH19adiwIZs3byY2NpakpCTA5ekUKFDgbHehlLoAZM9fyOT3XbnlXX9gxw/DDnwQO3cmciI+9boxx1wRgSq1MB1uzbBdU72++3AiHrIx/0YppZRS6p/OOsAJCwtj69atxMfHIyKsW7eOEiVKULVqVZYuXQrATz/9RL169c7bwSqlzo2dMx3Z9Fvyz5KQgH1vJATkxuv7At7wD/B6D4SQMGTye9iXH0f++iNl/W+/hOOxeJ17ZF7uObQgFC/tPlepnT0npJRSSin1L2c9RK18+fI0atSI/v374+PjwxVXXEHbtm2pU6cOo0ePZvLkyZQpU4bWrdOf1E8pdWHJ9t+RKR8iZSrgU7mmWzZnGuzegffIc5igELdirYb41GqIrF+F/WgsdugTmBbXwZWVkXnfYpq0xpS4Ikv7NO06wfZNmPzak6uUUkqpC8OIiFzsgwDYs2dPtu9Dx1OqU/5r94KIYEcMgC0bAPCGfQAhodgBD0Chovg8/lL62x2LQia/h6xaDImJkMsf7+XxmJDQC3n42ea/dh+o09N7QYHeByqF3gs5U1ZzcHQGTqX+C9avgi0bMG1vQMK/QVYvwZQqB4cPYDrdcdrNTL4gzP39kLhesOk3yJP3sglulFJKKXV50gBHqRxMoiKRTWsxlWukDCE7izbs1x9BwSKYW7ojv69DVi6BPbvAPwBTu3GmbZiA3FC70VntXymllFLqQtIAR6kcShJOYMe+BDu3IcZA+ap4d/bCFCmR4TYy4zNkxWLMFeUhtBCyYDYknsDr2R/j64ep1xSZ/imyawemTmOMf8CFOymllFJKqWx21lXUlFLnh5yIJ+ntocj6VamXT34Pdm7D3P4gpkNX2LsLO/TJVFXQUq2/dxd2SD/kh2lQuJgrKjBnGlSuiTf4TUwt1wNj6jZxG8THYRprERCllFJKXV60B0epi0ymfQqrfsEmJOBzcr4Yu3Q+svAHzHW34LVq79Zr3Ar7xkvYMYMxnXtgWndILtUsNgn7zqsQdQTv0ecx1esiIhAbg8mTN9X+TJESrnxzTDRUrHZhT1YppZRSKptpD45SF4BYi53xGUkjn0VijqUs37IemfsNBOaBTWuQuFhEBJn5BZQuh7mxW/K6pmARvKdfhap1XGWzd15Fjse6dhbPhb93Ym57EFO9rlvfmDTBzSne/U/gPfIsxvPJxrNWSimllLrwNMBR6izJkQjs7K+xE8YgO7effr34OOz4YcisL2DzOuy4IS5XZu9u7IQxEFYY774nXBnm9atg+yY4sAfTqj3GJ3UAYgLz4PUe6IoFrP7FTcS5bSMy4zO4shKmXtMsHbspXhpT6spzOn+llFJKqZxIh6gpdYbEWmTqx8iPM8BayOWPLJmLadQS07ErplBKjXaJjsKOeQF2bsfceh8EhyDvvoZ9qS/s+xv8/fH6DIayFSBvELJ6GeTK5aqbncqV+RfjeZhrb0HKVsS+OwI7/GkAvF4DkoesKaWUUkr9V2mAo1QG5OA+CCuckuuSlIR88qYLaJq0wVx3CwSFILO/QsJnIssWYho2d6WXQwtiPxgFh/bj9R6AqdkAAHskApk2EdO6PaZ9F0y+YABMzQbIqiVgBVO3qSvNnAFToRreoFHYiW9jChbGlK2YvRdDKaWUUuoSoAGOUqdhF89FPhrjqpidSvT/fLwLbjp2xXS8LTnwMTd3R9rcgMyZhvz0PbL0J9dIQG68PoMx/0jm99rdiLTpkCb/xdRuhCwOd5+btsnSMZqgEHx6DzjHM1VKKaWUunxogKNUOmTzOmTiOPd50Rxo1R45GoksDse0vA7vhtvTbGOCQzCdeyA33gF/70R2/4kpVxlTtGTaddNL7q9cE/wDICg/lK963s9JKaWUUuq/QAMcpf5BbBKycgny6dtQqCimQXM3ceauHci6FZCUhGnTMcM2TC5/KFMBU6bCGe3b5PLHdOuFCQrWXBqllFJKqbOkAY76TxMR5KuPkJWLIX8BiDoCB/dB0ZJ4jzwHuQORWV8gi8OR336FitXdPDLZxGvUMtvaVkoppZT6L9AAR112JDER1ixFjh3FXHU1xs/v9Ov+MBWZM80ND7MWQgvh/e9uqNUI452sol6zPvLT95CUiOnU7bRtKaWUUkqpi08DHHXJERGIOIgJLZRmufz0HfLtFDga4ZYtmI137+OYkmXStrNyCfL1x5j6zTD39UsJaP7Fa9wau+oXyJsPUyf90s1KKaWUUipn0Ik+1SVFEhORieOwT9+HrFmasjw+Dnl/JPL5O1CkON4jz+E9/BxER2GH9MPOm+UCo5PiFs/FvjfCTY55T5/TBjcAVKvrSkW3ap9hb5BSSimllLr4tAdHXTCScAJZ/jOIxTRulX4lsVPrisDWjZB4wlUU8/WD/X9jJ78HG1ZDLn9s+Ex8ajVCbBJ21CD4YzPmpjsx1/0vOUnfK/sG9qMxyKR3kc3rMdXqwJEIjs6cBFdWxnvkWYxfrgyP2/j64g0ZD0bfByillFJK5XQa4KjzRg7tR1b8jGl7A8Y3padDjka6uWEWfA/Hjrpli+bg9XgMU6hYmnbs4nDkh2mwd5dbkMsf8uSDyEPg44O562GIjkKmfoLs+QvZsRW2/465+1G8pm1TtWXyBeH1Hujmp5n+qZtIE8hVpzGJPR7H+Ptn6dwyCsaUUkoppVTOoQHORSQx0XDsSLpVuWTf3xAUjAnMexGO7MzJ4YPYEQPh8AEIzINpfq3LiZn0DrJwDiQlQo36eG06IlFHkEnvYF/si/fIc6kmwbTffI7MnAyly2Hu7oPJF4SsW+kCo0qdMdXrYkILIceOIt987gKXDatdWeYm6U+OaTwPc+0tSMvrICYGkhLJX6kqhyMiLtTlUUoppZRSF8g5BTgxMTGMHz+eXbt2YYzhoYceolixYowaNYqDBw9SsGBB+vbtS968l8ZD+oUkUZHYVwdA5CG84R9g8ga55XGxyJcfuskl/XJh6jbBXN8FUzR7ShNLxEE4egQC80BoIYzvmd8ScvgAduSzEBsDRYojs6ciTdshvy5E5n+HadoGc11nTGHXW2MAqVANO/p57NjBeA8NgLDCrhTz7K/d+nc9nNxrYmrUT7NPky8YU68ZsnguAN6DT2U6d4wJCISAQPc5o5wbpZRSSil1yTqnAGfChAnUqlWLfv36kZiYSHx8PNOmTaN69ep06tSJ6dOnM336dLp1y/7SuiIC+/9Gdv2JqVQDky/orNuR2VPBJuG175L29zYJjHdGEzHK8VgIyJ28jcQcw74+CCIPwokTyKIfMdfdgkQexr72DBzaj2l7IySeQJYtQLasxxs0FpPn7ANFSUrC+KQeZiVrl2PfHgaJCW5BiSvw+r2cHGyl286JeGTqJxAbg6nVwA0R+/5r8Dy8vi/CkcPYt4chi39EZnzuelbueiRNQGEKhOE9MQT7+nPYMYNTljdtk+766TGtrkeWzoc6TTDlqmT9YiillFJKqcvWWQc4sbGxbNq0id69e7uGfH3x9fVl+fLlDB48GIAWLVowePDg8xLgSHQU9t3XMMVK4XW9P/Xv1q/CfvwGHDnsfs4fivfgk5k+9Iq1yM8/It98jqlYHfO/e5DZXyPzZoGPD9L8Gky+YLduzDHku6+Q+d+6gCAgENP8GpfU7pN+fobEHENmfO7mUKlaC+/O3nBoP3biODi0H++RQdjvv0J++ha5uhN20jtwNALviSGYCm7YljRpgx3eH/vJm3g9+5/VDPd2+qcu5+X5sZig/K7dlYtdFbESZfA63IpEHESmTMCOeQHv8ZcwuQPTnk9sNPbNl2HbJjcB5i/zADB1m2L+dzcmrDBiLRQpgXw6HhC8h587bbBigvLjPTEEWRwO+YIxxUtDqSuzfo5lKmAeeBJTsfoZXxOllFJKKXV5OusA58CBAwQFBfHWW2+xc+dOypYty913383Ro0cJCQkBICQkhKioqHS3Dw8PJzw8HIBhw4YRFhZ22n0lHT5I5OvPwa4dyOb1hHS5G59CRQE4Pu9bot4ahm/JMuS+7T58wgpz7L2RJL02kLx3PUTgDbdhjEGsJWnLBvyX/kTC1k0YHx9s5GES//oD37IVSVy91M1mn5SEf5PWxC+ZR55Nqwm8/n8kbN9M5OBHkZhoApq1w6dQURL37CL+h6n4Hfib4MdfwPtXr0fC9t+JfKEvEnMM/0YtiF/1C3ZQb4iPw6dwMYIGjSJX9brEBfhzdGh/cn3xHnGrl5L3zofI06RlSkNhYcTc8SDRn7xFntWLCby60xn9O8UtXcDRb78EIPfSeeS9/QESdmwl4t0R+FWoSv5nR+Cd7BmKL1OOI8OfwWf8MEIGvY7xD0hux0ZHEfnK89hdOwh+/AX8G7ckYdM6TEAAfuUqp9rn8c7diXpjCLnbdiSofuOMDzAsDK544IzOKZXrbjqrzXx9fTO859R/g94H6hS9FxTofaBS6L1waTPyz8lBzsD27dsZOHAgL730EuXLl2fChAnkzp2b2bNn89FHHyWvd8899zBhwoRM29uzZw8Asm838utC2LsbObAXoqNcgrmPD+b2nshHYzBtOuJ1uRe7aA7yyZtQuSbeQ88k9zpIbIzr0Vm1BGo2wFStjYR/Awf2go8PlLoSTvYqmFbtMQ2aw8F9yLSJUOIKzPWdsS8+Bn5+eM+8hh0xAPbuxnv8RUyJlAkj7cIf3LwroYXwHn42OU9GoiKxL/cDY1wZ4hJlkIP7sF9+iClaHNO+a3L1LrFJ2IE94dB+N0Rs4Otp8mDEWuyYF2DzOrzHBmMq1cj0eooI/LnVlU8uXBzyBcP23/GGf4B94yXYsxPv5XfSDHuzvy5E3h8JVevg9R6A8fVDTsRjRz8PO7bg9X7WlVrOaN9JSciiOZgGzTGBeTI91oshLCyMQ4cOXezDUBeZ3gfqFL0XFOh9oFLovZAzFSuWtvpues66Byc0NJTQ0FDKly8PQKNGjZg+fTrBwcFERkYSEhJCZGQkQUFZy4WRPX9hp34Cv/3q5hsJKwSFi7thS3nyYpq0wZQsg12/Elk0B6leD/l8PFSp7YKIf5QlNoF58Hr2R+bORL6agPz2K1xRnqA+g4guWzn9h+5CRTEPPpXSRqOWbtu5M2HLBsztD6YKbgC85tcgRUti3x6KHfqEG6ZVrJQ7j5govP7Dk7cxBYvg03tAmt0azwfT7kbki/fxuvVKN8nfeB7eA0+6oWpvDcXrP8xdF1zww97dEJQf8uaD7b8jP33nKotFR0HefHg9+8ORCOywp7BvD4Ut6zF3PJRuTo/XoDk2Pg755E3suCGYqnWQjWtg2ybM/U9mGtwAGB8fTMvrMl1PKaWUUkqp8+2se3AABg0aRM+ePSlWrBhffvkl8fHxAOTLly+5yEB0dHSWcnB23XwV+Pq5HpVW12GCQtJdT/7cih3Sz/XEBBfAe25Uxknx+3bD8Vi4ojwFCxbMcjQuRw5jn7oXEAgrjPfiuFRBVKp1Dx/EjnsZdu1IXmbu64fXsEXW9iUCRyMw+UMzXu/wQezQJyH+OFSsjikQ5oK3iJPnlDsPHI+B3IGYWo2gfBVM9XqY/AUASHrtGdiywfUUPTcqw7ld7NyZyJQJrrwzYLrej9emY5bO51Kgb2YU6H2gUui9oEDvA5VC74WcKdt7cAB69OjB2LFjSUxMpFChQvTq1QsRYdSoUcybN4+wsDAef/zxrDVWvDTeQ09n+pBvrigPFarC9s0u6T6D4AZId46ZrDD5Q6FyDdi4BnPjHacNbgBMaEG8ga/D3r/gSKQLMK6slPV9GQOZnHfyfvq9hPwwDdm2CVm/EqrUxnTo6oK4fbtdkn6jlpiA3Gm299rfiv3jRbyuD2Q6caXXpiPS6npX+tna5OIESimllFJK5WTn1INzPv29cyfG7/RBxD/JsaNwJAJTskzmK//DmUbjsnUjsnIxpsu9OXLeFLH2jI9LEk5g/HJl0xFdOvTNjAK9D1QKvRcU/2fvzYPjuu57z+/dekcDjW6AWLhTpKiFEiWSohZrsc3YSewkmqk8Zynllcd+lYnlifMsVyaZqRlbrjdxyTOWqDhll+2xS5VKvfcSpyqmaxInchjFchxbCxeJpEiQEAli33oB0Otdz/xx+/bejWbfvg2g+ftUoQCCjf7de/v3Pef8fud3zgH5AVGEfGFz0pEZnHbSbHADmIc8Ir99s5Nw++8Gt3/znq/SStBFwQ1BEARBEATRzWy+aQmCIAiCIAiCIIgWoQCHIAiCIAiCIIiuYdOswSEIgiAIgiAIgrDLppjB+fa3v90RO5/+9Kc7YqdT99MpO520Rb5Adjppp9v8oJO2us1Ot/kC2WmNTvkB0H3PrtvsUJuwue2sx6YIcI4cOdIROz6fryN2OnU/nbLTSVvkC2Snk3a6zQ86aavb7HSbL5Cd1uiUH20giRAAACAASURBVADd9+y6zQ61CZvbznpsigDn6NGjHbHj9/s7YqdT99MpO520Rb5Adjppp9v8oJO2us1Ot/kC2WmNTvkB0H3PrtvsUJuwue2sh/D8888/v9EX0Un27t270ZdAbBLIFwiA/IAoQr5AAOQHRBHyha0LbTJAEARBEARBEETXsClK1AiCIAiCIAiCINoBBTgEQRAEQRAEQXQNFOAQBEEQBEEQBNE1UIBDEARBEARBEETXQAEOQRAEQRAEQRBdAwU4BEEQBEEQBEF0DRTgEARBEARBEATRNVCAQxAEQRAEQRBE10ABDkEQBEEQBEEQXQMFOARBEARBEARBdA0U4BAEQRAEQRAE0TVQgEMQBEEQBEEQRNcgbvQFWMzNzTluIxKJIBqNOm6H2PyQLxAA+QFRhHyBAMgPiCLkC5uTkZGRpl5HMzgEQRAEQRAEQXQNm2YGhyAIgiCI7oMxhqW0ihsJGbNrSuFrKaUgqzEougGe4yDxHAIuHr0eEdsCEnaH3Ngb8mB3yI2wVwTHcRt9KwRBbBEowCEIgiAIom0ouoHr8RzGlrO4Gs1ibDmLRE4v/H/II2A06MKR0QD8Eg9J4GEwBlVnSCk6VnI63o/n8O9TycLf9HoE3L/NjwdH/Hh0Zw/cIhWgEARRn00b4DDGkMvlYBhG27I2i4uLkGW5Le/lJIwx8DwPj8dDGSuCIAhiU5PIahhbzmIsmsWV5Syux3PQDAYAGApIuH/Ij4MDXuzr92B7rws+SWjqfdOKjskVGRMJGVejWbyzkMZPJ9fwyrklfOzOEH7tYKjp9yII4vZi0wY4uVwOkiRBFNt3iaIoQhC2RmOoaRpyuRy8Xu9GXwpBEARBAAB0g2FyRcZYfmZmLJrFYkoFAEg8hzvCHnz8zhAODnhxMOJFyNt6H+53Cbh70Ie7B3342J0hGIzh8lIWP7gcw3+7EMWPriXwyQcG8dSeICUDCYIoY9MGOIZhtDW42WqIorglZpsIgiCI7iWl6LiWn5kZi2ZxLZpDTjMAmKVmBwd8+NgBM6DZG3JDEpwrHeM5Dvdu8+HebT6Mx7L49tuLePkX83jtxio+98gwBvySY7YJgthabNoIgrIx9AwIgiAI59ENhnhWw1JaxWJKxUJKwcyqgskVGTNrCgCA54DdfW58aG8QByNeHBzwYtAvbVg/tT/sxf/90V348fsreOXcMj73DxP4zENDeGJ3cEOuhyCIzcWmDXAIgiAIgmgP1k5m47Ec5pNKIZhZTKmIZlTkJ2UAmMHMoF/Cjl43ntxjBjT7w154pc21sJ/nOPzy/hAOD/nx8i/m8eK/z2F6Vcbv3hehBCFB3OZQgFOHeDyO3/qt3wIALC8vQxAE9Pf3AwD+4R/+AS6Xq222jhw5gtdeew29vb1te0+CIAji9iWR1TCRyOH9eA7X8qVlq3JxJ7Net4DBgIQ7wh48urMH2wIStgVc2OaXMOAXHS01azdDPS78lw/vxLfeXsD3L8WwmFLxR48MQ+ApyCGIzcRqTsPUqoypFQXTqzJWZR1/8vioI7YowKlDf38//vmf/xkA8OKLL8Lv9+MP/uAPyl7DGCvseEYQBEEQncRgDNG0hvmUgvmkgvmkmt91LIeVkm2Zt+e3ZD4Q9uBAxIvRoAueLttmWRI4/C/Hh7DNL+G/XoiC54DPPTIMnmZyCAcwGENKNrc0T+Q0rGQ1rOR0rOQ0rOQ0JLLmz0lZBwdzyQHPARwHcDB/lgQOXpGHR+ThlczvHomHV+TR5xEQ8ooIeUT0eUWEvAK8Ir/pZyZ1w5wpnl1TMJdUsJRSsZRWsZz/SirFqWKfxGNnrxuqziAJ7b+vLRHgfPfMIiYSOdvvw3EcGDO3rtwT8uA/Hd12y+8xMTGBT3/60zh27BjOnz+Pv/zLv8SVK1dw8uRJKIqCPXv24KWXXoLP58ORI0fwu7/7u3j11VdhGAa+/e1vY9++fYjFYvjsZz+LRCKBBx54wPZ9EQRBEN2LqjPMp8yM58yq+X161TwsU81vxwwALoEzz5cZCWBPySGZftfW2D3ULhzH4ROHImAA/tuFKDwij//52LZNPygkNgeMMaQVwwxQchr0OMP0UsIMYrJaWfCymtOgs+r3EHmuEJxEfCL2hNwAuHxCHDBgBkcGM3Wd0wwkFR1LaRVZzUBOM5BVDRg13tslmO8ddIvo9QjocQvodQsIekQECz+bv+9xCQi4hLbPYhqMYTWnI5bREMuqiGc0LKRUzCXN9mghqZQ9F4/IYcAvYdAv4UDEi5EeF3b2ubGj1+X44b3rBjjf/OY3ce7cOfT29uLFF18EAKRSKZw8eRLLy8sYGBjA5z//eQQCATDG8Morr+D8+fNwu9149tlnsXfvXscufqO4du0aXnrpJXz1q19FNBrFN77xDXz/+9+H1+vFn//5n+O73/0uPve5zwEAIpEIfvzjH+N73/sevvOd7+CrX/0qvva1r+HRRx/F5z73Obz66qv4q7/6qw2+I4IgCGIzYDCGmVUF12LmIZnXojlMr8qFQQMHYDAgYUfQhcPDfowGXRgKSBgJutDvFWnGAsAn7g0jpxn4u8txuEUen3xggIKcLkbRDSSyGuJZLR+I6MioBuT8wjKeM9dr8RygM3NnwLSiI60YSCk6Uvnvqzm9cH5TKQIH9OVnUvo8Inb3eRDyiujzCOjziGU/+132Z1kMxpC0ZoeyVlBVnCFay5nXOr0qYzWnQ64VaeXxSTx63Gaw0+PiESgJfgJucxbXMACDFQMvPX/obkY1kFZ1ZPLPx3q+leYknjMDl14XHt4ewEjQhdGgCyM9LgTdwoZpb90A56mnnsIv//Iv4xvf+Ebhd6dOncKhQ4fw9NNP49SpUzh16hSeeeYZnD9/HgsLC/j617+O8fFxfPe738VXvvIV2xfZykxLLURRhKZptt9n165dOHz4MADgzJkzuHbtGn79138dAKCqKh566KHCa3/1V38VAHDffffhtddeAwC8+eabhaDmox/9KAKBgO1rIgiCILYeKzmtsEbmaiyL92M5ZFRzYBZw8dgf9uLoaAA7el3Y2evGaNAFd5eVl7UbjuPwHw8PIKsaOHUlDq/E47cPRTb6sogGMMaQ1Qyslgzi06phBiLWd8UccKcUAylZzwcnOnJa7QG+WRqGqtkQr8jD7+LNQb6Lx1BAgt/lKQQp1gzM7uEIkEsh4OI7mjjgOQ69HhG9HhG7+tzrvl7WDKzJZtCzJptlcSnFnBlKyjpSso5k/lktpbXCc6s1SwSYz00SOPgkHj5JgE8yn9ehoA9hn4R+r4iwz/zqzwd9m3G927oBzt13342lpaWy37399tt4/vnnAQBPPvkknn/+eTzzzDM4c+YMnnjiCXAchwMHDiCdTiORSCAUCjly8RuFz+cr/MwYw1NPPYW/+Iu/qPlaazMCnufbElwRBEEQW5fFlIJzc2lcXsriaqx4SCbPAXtCbjy5O4gDES8ORDwY6XHRjEyLcByH3z+2DbJu4L9fiKLHJeBjd3bXWGSzoxsMSUXHSlbDqlz8bgUxqzlzVsL6rjSYibCCEr8kwO/iMRiQsNflQcBlzlD059erhLzml0/i4RK4wtIEa4aC57imB+ORsB/RaLZdj8Mx3CKPAZG/pXOgDMYK51nxHAehZJarW2Y7W1qDs7q6WghaQqEQ1tbWAJg7j0UixSxJOBxGPB6vGeCcPn0ap0+fBgC88MILZX8HAIuLi44c9NnKe/I8D57nIYoiRNGsGbTe5/jx4/jSl76EmZkZ7N69G+l0GouLi9i7d2/hdaIoQhCEwr8feeQR/PCHPyyUqKVSqcLrSnG73VXPhWgPoijSsyXID4gCTvlCWtFwbmYVb02u4K3JBGZWzfWkAwEX7h0K4jeHenDPUA/uHAzAI90ea2U6yZc+FoHyD1fw3bOL2Dvcj8f3hhu+ntqEWyeRUTG2lMRkPIvplSxmVrKYTuSwnJZrzhIIPIeQV0K/T0J/wIN9AxJCPhdCPin/exf6vBJ6PCJ63AJ8LhHiBswQkC9sbdoaQVgL+EupFwmeOHECJ06cKPw7Go2W/b8syxCE9jb2rZaoGYYBwzCgaRo0TQNjrPA+/f39+NrXvobf//3fh6KYB6L96Z/+KXbu3Fl4naZp0HW98O/nnnsOzz77LH74wx/i0UcfxdDQUOF1pciyXPVciPYQiUTo2RLkB0SBdvmCwRiux3M4P5/GO/NpjC1noTPALXA4tM2HX9k/aK6d6XGV9I8qUqsJpGxbJ2rxh8ciWFjJ4Is/GsNXfmkn9oe9dV9LbUJjcpqB6/EcxmNmWeX78VxhFhIAelw8hntcuCvixpO7A4WSrz6PuTC+uXUquvmlAooKKI7fVW3IFzYnIyMjTb2upQCnt7e3UHqWSCQQDJonB4fD4TJniMViXVGe9oUvfKHw8549ewrbR1s88cQTeOKJJ6r+7uzZs4Wfjxw5gr/5m78BYD4n62cA+NKXvtTuSyYIgiA6RCyjFgKadxYySObPm9nX78bTd/Xj8LAfdw14t9TZMt2ER+Txfz61HX/86iT+y09m8P98dBe2Bdp3ll23ohsMM2uKuUYsH9BMrRZnZQb9EvaHPfiV/X3YH/ZiZ58bQTfNQhKbg5YCnKNHj+L111/H008/jddffx3Hjh0r/P6f/umf8Nhjj2F8fBw+n68rAhyCIAiCsJA1A+8tZQpBzdSqmWMOeQQcHfHjgWE/7h/2o8+zJU5iuC3o84r40ge3409+PIkv/+sMvvqRXeihwXgB3WCYSyqYSJjnKI3HzC9rnYa14cXxHQEcCHtxR9hD/k1sajhWq66shJdffhmXL19GMplEb28vPvGJT+DYsWM4efIkotEoIpEInnvuucI20d/73vfw7rvvwuVy4dlnn8W+ffuaupC5ubmyf2cymbLF/O2gXbuodQonngFhQlPPBEB+QBRp5AuxjFoY8F2LZnFlOQvVYJB4DvcMenF42AxqdvW5u2aBbrfy3lIGX/yXadwZ8eDLH9pRNavW7W2CbjDEMubhsDOrCiYSOUwkZEytyoVF/gIH7A55cCDswZ0Rb/78Eum28+1u94WtSrMlausGOJ2iMsBJp9Pw+/1ttbHVAhwnngFhQg0XAZAfEEUsX8hpRmHb5mv5bZtjWbPfEDhgV58b927z4YFhP+4Z9NGWzVuQn95cw4v/Poendgfxnx8dLhu4d0ObYJ0mP59UMJ9UMZ8yD2CcT6pYSKllZ730uAXs6XNjd8iNPSEP9oTc2B50O3Ky/FajG3yhG3F0DU4nsLZVdmInta2Apmngeeo4CYIgnMJgDAtJFeOxLCYvreKd6TgmEsU1BiM9Eu7d5sP+sAcHIl7s7nNTQNMFPLE7iIWkgv96IYrhHhd++76tuVOWbjBMr8q4Gs1hciVXCGaWUmrZYYxugcNwjws7el14aHsAwz3m4bCj+cNhb7eZGeL2YNNGDx6PB7lcDrIst018brcbsiy35b2chDEGnufh8Xg2+lIIgnCIWEbFWDSL2TUF0bSGaEZFNK1hRdbAGMAAID/B7hZ5+CTznIMdvW7s6HUVvvtoa+GmYIwhmtHwfszcAWo8nsP1WA7p/KGaXonH/n4PfvOeMA7my3JojUb38h/uDWM+peC/X4xiqEfCU3t6N/qSmmJN1nFuLoWzs2mcm08hpeT9V+QxEpSwN+TBYzuDGO6RMNzjwnCPCyHPxp0mTxAbxaYNcDiOg9dbfyvHVqDpRoIgNoqMquPiQgbn5tM4P58u21q11y0g4hcx1CPh4IAX1pEP1pgkpzGkFR1LaRUXFjJQ81MMHIAdvS7sD3uxP18vv6vPvSlPlXYaxhhSioGltIrl0q+MhsWUgtk1tbBg2lxj4MYHdgVxR9iD/WEPHtg3ipV4bIPvgugUHMfh2YeGsZTW8BdvLGDAJ+GebZtvzStjDJMrMs7MpvH2bArXYlkYzGwzHtoewH3b/Dg44MVQ4PZbI0MQjdi0AQ5BEMRWxhqYnJtL49x8GleWM9AMwCNyOLTNj4/fGcLBfEByK2VPVn391IqMiYSMa7Es3p5N4V9urAIA/BKPuwa8uHebD/du82FvyLMlAh7GGBSdQdYZZM2AqjOoBoOiG9B0BsVgUHWGjGoUTj5fyWlIZDUsp1UspbVCAGPhEjgM+CUM+iUc3OfD9qAL+/rNdQauisXlG3GQILGxSAKH/+3xUfyvP57EV346gz87sROb4VxH3WC4sJjBG9NJnJlNIZox14Dt63fjN+8J4+hoAPvDHvAU0BBEXSjAIQiCaBMpWcc7C+lCUJPIL07f3efGrx/sxwPDftw14LO1gFfguULpyfEdPQDM4GAprWJsOYv3lrK4tJTBmbllAEDQLeDYaAAP7wjg/iH/hq0h0Q2GhZSKqVUZ06syplcVLKYUxDMaVmW9sINTswgc0Js/RHC4x4X7h/yFYMb8bp6CTlltohEBt4AvfXA7/vTHU/jSa9P4ViSM9taONIduMFxezuBnk0n8fCqJNVmHR+RxeNiH3z4UwIMjfoR90gZcGUFsTTbtLmpOQCVqhAX5AgHY9wPr1Ppzc2ZQY5WP+F08Dg/58WD+TJSNGJjEsxouLWbw9mwKZ2dTSKsG3AKHB0f8OL69B8dGAwg4sMZENxjmUwqmVswgZiofzMyuKWW7Nw36JQz1SAh7RfR6RLhFDm6Bh1vk4BJ4uAQOksBB4s1/Wz97JB59HhEBF9/WDDa1Cbc306sy/vd/noJXEvH8B0cxEuzMQaDLaRWnr6/gn6+vIpbR4BY4HNsewOO7gnhwxF8100h0DmoTNidbfptoJyBnJSzIFwigNT9YyWo4P2/O0Lwzn8aarIMDcEfYgweGzaDmQNi7qcrCVJ3h0lIGb04n8cZMComsBp4D9oQ8uGfQi70hD3b1uTEadDU9w6PqBhJZHTNrMiZXzHM0JvNBjTUbwwHYFpBKNkUwN0bYHnTDK22ugRu1CcSNeA5f/skMDIPh/3hqO+6MODOXYzCGc3Np/NN4Amfn0mAMODzsx4f39uLY9gA8tFPfpoDahM0JBTg1IGclLMgXCKA5P9ANhqvRbKHs7Ho8BwDo9QhmQDPsx+FhP3q3yKneBmN4P5bD27MpXF7K4Go0V9i0gOeAoYALg34RPpcAF89BNRi0/PoXRTcKa1+s3ZssQl4Ru/rc2N3nxq4+N3bmg5mtsq0ytQkEAGQFP/7z311APKvhs8eH2rq7msEY3phO4q8vxjC5IiPkEfDhfX34yB292BbozIwR0TzUJmxOtvw5OARBEBvFfFLBO/NpvLuQxoWFDNKqAZ4DDka8eOb+CB4cCWBPyL0lF/nyHIcD+W2QAUAzGOaTZknZ5KqMqRUZ8ayOaMY82dwqDRN5Di6Bw45eN+4b8iHkEdHnFTHcI2FXnwdB2lKZ6AJ2hLz46kd34as/ncXJn8/jnfk0fv/YNlvbsVcGNqNBFz7/6DA+sCtIm1sQhENQgEMQxG1PUtZxYTGNd+czeGehuIXzgE/EIzt7cGTEj/uG/Ai4um8QL/JcoXzssY2+GILYBPR5RPxfJ3bi+5ei+P6lGN6ZT+OZwwP44J7eWyo9VXUDr99cww8uxzGzpmA06MJz+cBmM5WwEkQ3QgEOQRC3HYwxTK0q+MeJabw+voSrUXNzAK/I49CQD79xsB+Hh/0Y6aGzJQjidkTgOfzOfQM4MhLAd88u4S/eWMDfXY7jVw/04YN7euGvk+zIqgbGY1n8fCqJn00lkZR17Am58YXHRvDYzh4KbAiiQ1CAQxDEbYGsGbi4mMHZuRTOzKaxlDZnaayzJR4c9mN/xEslIwRBFDgQ8eKrH9mJf59K4odX4vh/zyzhe2eXsLvPjb39Hkg8B4MBsYyKxbSK2TUFBjPPYHp4ew8+vK8X9w/5KFFCEB2GAhyCILqWxZSCs3NpnJlN4eJiBorO4BY43Dfkx3+4N4xfuncHuFxyoy+TIIhNDMdx+MCuID6wK4jxWBZvzaQwtpzF2dkUrJ3P+30ihntceHRnDw6Evbh70Gtr3Q5BEPagAIcgiK7AOuzyynIWl5eyeG8pg5k1BQAwFJDwkTv6cGTEj3u3+QpnS0QCbkQpwCEIokn2h73YH96Io0AJgrgVKMAhCGJLohsMU6syLi9lcXk5gytLWcSyGgDAJ/G4M+I1g5pRP0Z7XFQiQhAEQRC3CRTgEASxJdAMhuvxHN5byuDyUgaXl7NI589iCftE3DPow8EBszRkZ6+bFvMSBEEQxG0KBTgEQWxaFpIK3ppN4cysWfMu62bB+2jQhQ/sDOLuQS/uHvBhMCBt8JUSBEEQBLFZoACHIIhNg8EYxmM5vDWTwlszSUytmmtodvS6cOKOPtwz6MU9Az70eanpIgiCIAiiNjRKIAhiQ2GMYWw5i5/cXMMb00ms5HTwHHDPoA+fvqMPx0YDGO5xbfRlEgRBEASxRaAAhyCIDWFmTcbrE2t4/eYaFlMqXAKHY6MBHN8ewJGRAAJu2mKVIAiCIIhbhwIcgiA6RlrR8a8Tq/jJxBrGYznwHHDfNh9+51AEx3cE6NwIgiAIgiBsQwEOQRCOE89q+P/G4vin8RVkVAN7Qm78Tw8O4PFdQYR9tEEAQRAEQRDtgwIcgiAcY2ZVxg+uxPGTiTUYjOGRHT34H+7up4PyCIIgCIJwDFsBzt///d/jtddeA8dx2LFjB5599lmsrKzg5ZdfRiqVwp49e/CHf/iHEEWKowjidmJsOYu/uxzDmzMpuAQOv7SvF79xVz9tFkAQBEEQhOO0HHnE43H84z/+I06ePAmXy4WXXnoJP//5z3Hu3Dl87GMfw2OPPYbvfOc7eO211/CRj3yknddMEMQmxGAMZ2ZT+MHlOC4vZxFw8fjEvWF87M4Q+jyU5CAIgiAIojPYGnUYhgFFUSAIAhRFQV9fH9577z380R/9EQDgqaeewt/+7d9SgEMQXYysGfi3yTWcuhLH9KqCAZ+I/3RkECf29cEr8Rt9eQRBEARB3Ga0HOD09/fj137t1/CZz3wGLpcL999/P/bu3QufzwdBEAqvicfjNf/+9OnTOH36NADghRdeQCQSafVSmkYUxY7YITY/5Av2YIzh2nIar44t4UeXl5CUNdwR8eGLH92ND++PQBS2RmBDfkBYkC8QAPkBUYR8YWvTcoCTSqXw9ttv4xvf+AZ8Ph9eeuklvPPOO03//YkTJ3DixInCv6PRaKuX0jSRSKQjdojND/nCrcMYw80VGT+bTOLfp9Ywn1Qh8sDx7T345f19OLTNB47jsJKondTYjJAfEBbkCwRAfkAUIV/YnIyMjDT1upYDnIsXL2JwcBDBYBAAcPz4cVy9ehWZTAa6rkMQBMTjcfT397dqgiCIDcZgDNeiObwxncSbM0nMJVXwHHBomw//491hPLyjB0E6kJMgCIIgiE1EywFOJBLB+Pg4ZFmGy+XCxYsXsW/fPtxzzz1444038Nhjj+EnP/kJjh492s7rJQjCYRhjGI/l8C83VvHGdBIrOR0CBxwa8uPXD/bjkZ09tGkAQRAEQRCblpZHKfv378fDDz+MP/mTP4EgCNi9ezdOnDiBBx98EC+//DL++q//Gnv27MGHPvShdl4vQRAOsZrT8JOJNZy+voKpVQUugcOx0QCObw/gyGgAARfN1BAEQRAEsfnhGGNsoy8CAObm5hy3QfWUhAX5gomqM5yZS+Ffb6zi7FwKmgEcCHvwS3f04QO7euCTujuoIT8gLMgXCID8gChCvrA5cXwNDkEQWxNrXc3rN1fxbzfXkFQMhDwCPn5nPz68txc7+9wbfYkEQRAEQRAtQwEOQdwG6AbD5eUMfjGVxC+mU4hnNbgEDse3B/DBPb04POyHwHMbfZkEQRAEQRC2oQCHILqUeFbDO/NpnJ9L452FNNZkHS6BwwPDfjy6swfHRgPw07oagiAIgiC6DApwCKJLUHUDl5ezOD+Xxvn5NG6uyACAXo+AB4f9eGh7AA+OBOCVtsYhnARBEARBEK1AAQ5BbFF0wzx4872lDN6ZT+PSYgayziDywF0DPvzHwwN4YNiP3SE3eI7KzwiCIAiCuD2gAIcgtgCMMSRyOibiOVxP5HBlKYsry1lkNQMAMNIj4cS+XjwwHMC923w0S0MQBEEQxG0LBTgEsUnQDYaVnIZoRsNSSsVyWsVSWsV8SsVEIofVnF547a5eN57aE8Tdgz7cM+hF2Cdt4JUTBEEQBEFsHijAIYgOYjCG5bSKmwkZN1dkTK3KWE5riGVUxLMajIpTqfwuHkMBCUdHAtgTcmNvvwe7+9y0OQBBEARBEEQdKMAhCIdgjGE5rWE8lsW1WA7jsSxuxOVCWRkADAUkDAYkHNrmQ9gnIeITEfFJGPCLGAxIXX/QJkEQBEEQRLuhAIcg2kRS1jEey2I8H8xcixXLykSew96QGx/cG8SekAe7+tzY2eumtTIEQRAEQRBthgIcgmgBgzFMryoYW85iLJrF2HIWc0kFAMAB2N7rwpGRAA6EPbgj7MHuPg8kgXYyIwiCIAiCcBoKcAiiSXSD4b2lDH4xncQb0ynEsxoAIOgWcHDAiw/v6y0ENFRaRhAEQRAEsTFQgEMQDVB1A+8umEHNmzMpJGUdLoHDkRE/jo0GcNeAD8M9Ejg6Z4YgCIIgCGJTQAEOQVSQUnScnU3hzZkUzs2lkdUM+CQex0YDeGRHDx4c8cMt0toZgiAIgiCIzQgFOAQBYCml4q1Zc5bmvcUMdAb0eQQ8vrsHD2/vwX1DflpDQxAEQRAEsQWgAIe4LdEMhvFYFmfyMzUTCRkAsD3owtN39eP4jh7sD3vAU+kZQRAEQRDEloICHOK2QDMYrsdzuLSYwaXFDMZi48goOjgAdw148ckHBnB8ew9Ggq6NvlSCIAiCIAjCBhTgEF1JIqsVzqS5FjW3cs5pDIA5S/OROwdwR5DHfUM+9HpIBgRBEARBEN0Cov3mwwAAIABJREFUjeyILYusGVhMq1hMqlhIKZhPqVhMKri5IiOaMbdw5jlgR68bH97bi3u2+XDPoA99HhGRSATRaHSD74AgCIIgCIJoNxTgEJsWVWeIZ1XEMxqW0ioWUyrmUyoWkgoWUypi+XNoLLwij6EeCXcNeLE/7MX+sAd7+z3w0I5nBEEQBEEQtw0U4BAbgm4wxDIaFtMKllIqYhkNsaxmfs+YwctqTq/6u36viKGAhPuH/RgKSOZXjwtDAQlBt0Dn0RAEQRAEQdzmUIBDOIpuMMwlFUwkZNxM5HBzRcbMmoJoWoXOyl/b4xYQ8Yno94q4I+xB2Cch7BUR9omI+CRsC0h0/gxBEARBEATREFsBTjqdxre+9S1MT0+D4zh85jOfwcjICE6ePInl5WUMDAzg85//PAKBQLuul9jEpBQdkwkZEyu5fEAjY2pVhpKPZAQO2N7rxv6wB4/vCmJbQMKg3wxcwj4RLoGCF4IgCIIgCMIetgKcV155BYcPH8YXvvAFaJoGWZbxgx/8AIcOHcLTTz+NU6dO4dSpU3jmmWfadb3EBqMbDEtpFXNrCuaSCuaTCuaTKmbWZCyli2tigm4Bu0Nu/Mr+PuwOebC7z40dvS5IFMQQBEEQBEEQDtJygJPJZHDlyhV89rOfNd9IFCGKIt5++208//zzAIAnn3wSzz///G0d4OgGQ1LWsZLTsCrrkDUDumGey6Izc2bDK/LwSDw8Ig+vxGPQL234wviUrGM2qWB2zfyaWZMxu2YGM5pRrC3zijxGghLujHjx0f0e7OlzY3fIjX6vSOthCIIgCIIgiI7TcoCztLSEYDCIb37zm5icnMTevXvxyU9+EqurqwiFQgCAUCiEtbW1mn9/+vRpnD59GgDwwgsvIBKJtHQdqm4gnlERzyhIyzrSioa0oiOt6MgoOlKKBlU3wBjAcUkYzPwZAFj+BwYUfsdzgChwEDgOIs9D4DmIPFf23fqZ5zgwMORUA2s5Das51fyeVRHPqkhkVKxmVbDal96QsE/CaK8Xo30eDPa40e+T0O9zlX33u+wtqtcMhvnVHKYSWUwmMphKZAtfiaxaeJ3Acxjt9WBXOIAn7vBiZ8iLHX3mV8gnbclARhTFln2O6B7IDwgL8gUCID8gipAvbG1aDnB0XcfExAQ+9alPYf/+/XjllVdw6tSppv/+xIkTOHHiROHft3Imyd9cjOJnk2tI5HQk5eqdtkpxCRwkngM4gOd4gBnmf3AcOACFobn5EhgM0BmDbjDohvmz0USEwnNAj0tAj9v8GvIJuLPfj16PgF63iD6PgKBHgEfkiwETx4HBPM8lqxnIqQbSqoGllIr5lIKFpIK3JjNIZLWa1yDxHEJeAb0eEV6Rh1vk4RE5uEUeAscV74OZM0kGY9AMhqRsYE02t17WjOL7Bd0CtgddODLiw2jQhe1BF0aDbmwLSBD5yiBGhZFVEcuu/2w2I3QODgGQHxBFyBcIgPyAKEK+sDkZGRlp6nUtBzjhcBjhcBj79+8HADz88MM4deoUent7kUgkEAqFkEgkEAwGWzVRF4/IYyTowj2DIkJe86vXIyAgCfBKPHwSD59LgFfkIQnFgXmrzmqwYrBjBj4MGivOALlF0ybv0EyGbjAkFR0rWQ0rObPcbSWnIZG1ftaRUw0kFRU5zUDOvDjwvDkTJfAwv+d/DrgF7PF58PCOnkIQMxp0occtOHL9BEEQBEEQBNEpWg5w+vr6EA6HMTc3h5GREVy8eBHbt2/H9u3b8frrr+Ppp5/G66+/jmPHjrXzegEAv3FXP37jrv62v289eI4DLwASNqYUS+A59HlE9HloV2+CIAiCIAiCaIStEfOnPvUpfP3rX4emaRgcHMSzzz4LxhhOnjyJ1157DZFIBM8991y7rpUgCIIgCIIgCKIhtgKc3bt344UXXqj6/Re/+EU7b0sQBEEQBEEQBNESHLMWkhAEQRAEQRAEQWxxNsWpi9/+9rc7YufTn/50R+x06n46ZaeTtsgXyE4n7XSbH3TSVrfZ6TZfIDut0Sk/ALrv2XWbHWoTNred9dgUAc6RI0c6Ysfn83XETqfup1N2OmmLfIHsdNJOt/lBJ211m51u8wWy0xqd8gOg+55dt9mhNmFz21mPTRHgHD16tCN2/H5/R+x06n46ZaeTtsgXyE4n7XSbH3TSVrfZ6TZfIDut0Sk/ALrv2XWbHWoTNred9RCef/755zf6IjrJ3r17N/oSiE0C+QIBkB8QRcgXCID8gChCvrB1oU0GCIIgCIIgCILoGjZFiRpBEARBEARBEEQ7oACHIAiCIAiCIIiugQIcgiAIgiAIgiC6BgpwCIIgCIIgCILoGijAIQiCIAiCIAiia6AAhyAIgiAIgiCIroECHIIgCIIgCIIgugYKcAiCIAiCIAiC6BoowCEIgiAIgiAIomugAIcgCIIgCIIgiK6BAhyCIAiCIAiCILoGCnAIgiAIgiAIgugaxI2+AIu5uTnHbUQiEUSjUcftEJsf8gUCID8gipAvEAD5AVGEfGFzMjIy0tTraAaHIAiCIAiCIIiuoe0BTjQaxZe//GV8/vOfx3PPPYcf/ehHbXvv98dymLoht+396jE9IWP8Ss5xO4tzKt47n3XcTiKm4fybaTDGHLWTTul4+2dp6JqzdhTZwFv/loKcMxy1o+sMZ36eRnJNd9QOYwzvvp1BbFlz1A4AXLmQxfyM4rid62M5TF7vhFYVXLvcAa3Oq7jUAa2uxDWcf8N5rWbSplY1p7WqmFrNZZ3VqqEznP15GsnVzmg1utQZrc5NO6/VG1dzuPm+81qduang2nvOa3VpXsWlcxnH7azENZx7Iw1mOK1VoyNaVRWGt37WAa0aDGd/kcbairNaBYALZzKILqqO2xm7mMXcVAe0ek3GzXHntTo7qeDqJee1uryg4uJZ57Ta9gBHEAT83u/9Hk6ePIk/+7M/w6uvvoqZmZm2vPf0DQVz084768ykipmbzjvr/IzakYBtaV7FzE0VmsOPLrqoYWFWRTrlbAO5EtexOKdhJeFsA5lJGZifVhF3OPDQNWDqhoLlBed9++b7MhZnnR+cTU90RquzU0pHtLowo2KqAwHb0ryGmUkVquLsYCa2lNdq0lmtrua1uuq0VtMG5qZVx5MEut45rU5eV7A467yd6Zud0+p0J7Q6q2LyuvN2lhc0zE6qUJzW6rKp1ZTDibbVFQ2LsxpW4s7ayaYNzE11QqsMk9cVLC04399NXlew0AGtztxUMNuBpMfsdHdote0BTigUwt69ewEAXq8Xo6OjiMfjbXlvRWEwnO2PAZiZjG6yo8hmA2w4nGmyBmUds6M7nX227sdRMx2zYxgMmur85wPkterw5wPkNdQpO53Qasd9rjNa1TulVYftqB36fBhjHfW5btSq07OgndJqp3yu4/1qp7TqsJ3Oa9V5O53UKmPO9UOObjKwtLSEiYkJ3HHHHVX/d/r0aZw+fRoA8MILLyASiTR8L8YYVHUFPCes+9p6iKLY1N/qWgpgaNlOszAjB8NQEQ6HwXGcY3Z4bgGAgt7eEAI9kmN2JoQogBx6enoRiXgds7M0twIgA7+/B5FIT0vv0YwvpNdSAFLweHyIREIt2WmGKMsBWIPL5XHU57IZDcAqBNHlqB2zwV8BzzenNzvoWhpA61pttk1gTAZjKvr7w+B5J7W6CEBGb28IPUHntDr5fgyd0Gp0YRVABn5f61pthmwqDSAFj9ffslab8YV4VEYntCrndACrEARntQoAmrIKztcBrepm6aXj/SqTAajo749AEG5dq822CQWtBvsQ7HPd+oU2ydT1GIAsegJBRCI+x+zEFk2t+nwBRCJBx+zk0nmtenyIRPods5OI2ddqM76gyDoYW4UgSB3RqsfjvFYNLdNRrYZCYUhS+7cEcCzAyeVyePHFF/HJT34SPl+1KE+cOIETJ04U/r3eThWqysAMQJa1lne1aHZHjFxOA89zju+ekUmbU3NLS9GWGuJmSSbNWspoNI6cLDhmZ23VrKVMxFcgSGnH7KwkzPtZXUkiGm2tbKgZX4jl3zuZTCMadS5tspyvEc6ks476nLWWKJeVHbWjaWY2S5ZVxzWUy2kAW7/9qEezbUImZfrC0lIUouigVtfMdT7RaByy4pxWV1eKWhVdzmk1Hs9rdXWtZa02Q3TZbEuTa61rtRlfiHZIq+lkXqs5Z7Wq6wyaxqAoHdBqVoOhM8ftpFP5fnUxCsl161pttk2wtBqLJaBoHdBqYhWSx7n1ComCVpOIRp0rGypoNZlGNOrctEcsv04uk8452j9kUpZWFUd92zAYVJVBUVofAzdLNqtC1zqn1eWlKFzu5gOcDd1FTdM0vPjii3j88cdx/PjxtrynqphCcLqkolDG04HpueJUrbN21A7Zse5Hd7q8Ru6ML3RqirtTn0/HSx2cLuMxzNIAvUMldwD5wi3bkTvlc51pEzrlB91W/sQY62CJeWf7B6fLLzv1GXWbzymdbhM6tgTAUTMdLblz+p7aHuAwxvCtb30Lo6Oj+PjHP96291U61lF21olMW10mwC4ZBHbregjHB2dyh/xA7cznA3SfLyidHpx1rK7fUTOdH2x2iVY1FQBDR9bGdFtA0LHkSod8odPJIqcTrh0fjzj83HTN0ikc3yHQ6TFw20vUrl69ip/+9KfYuXMn/viP/xgA8Du/8zt48MEHbb3vRiwsZ4w5tjZG14sNY7dkUYszKw7b6baAoGMzX53Opjtrp7B7UX6RolNrY3StuLCzW7J0nfIFpUO+0OlkkdOzhp2b+eqsH1i2BIcqugydQdOKPztJx3xO7lD/0LEZnA6PEzo2ZuyONqF0V0DdAESHTsu0Su4A54LDtgc4Bw8exPe///12v23Hp08tW041xKV2nMyisjIn6o6ZlU5lZjrmcx3LnJk30rkdrRw1U6VV3qGG2NIPYCYmnMIq4wE6oVWjI3aKM0WOmul8eU2n2rgOtQmd6htMWw72q2p5m+AU5Vp1zg7QycqI7uwfOtV/d6yN65AfFGw5tOa0E/2qQ0OC9tNoECjnDJz9eRrTE4rtD9/Klpi2yv9P0xjOv5HGxLhs+9Ata7ajlh3GGC6cyWD8Sq7sda1Q5kQ13mrsYhZjF7NtOdyrUSbj+tUc3jufRTpl35MbCX16QsGFM5m2HCJW9Lnq/1ucU/HOmxnEo/b32G+U5U7ENJz7RRpLC6rt0o5GDX46qePsz9OYm1ZsT0urDbLcsmzg7C/SmJ6QbXekStmgqfy9dI3h/JtpTFyToanOtQmMMVw8m8H4Zfta1VQG5E3V+ozGLmZx5UK7tVr9fzeuybh0PltY6G6HRlnumZtt1GqDgGBpXsX5N9OIL2u2NdRo5mslntfqvH2tNmoT0qmiVu1mjRu1CUpeq1M32qzVimvWdVOrN9qh1QaJQ0ur19qgVV0DWIMKjKuXTK1mM+3Qan1fmBiXcelcBqk2aLVRmzA7qeDdtzNYTdjv7xq1CcsLplZj7dRqDd+1tLrYFq3Wf26ZdF6rU+3Qan0/UBQD5xzRavn/6TrDO29lcONqzrZW1QZtAmMMl85lcO29HGQbWnV0m+h20siJFmZVzE2bX1cucHjkgwH0BFtLEVU/9GL0Gls2D+GbmVRx9VIOxz7gR3igtUfY6MNNrhqFw4/G38vh8HEfRna0tg1lo0GgohgYv2zubPT+mIx7DnuxZ7+7JTtlZTw1BoHX3stBU4Eb4zL23+XGwUOtb03baJDx/lgOqTXz+e3Y7cLh461vq9koYJsYl7G8oGH6poKBIREPPe5vuUSqUYZu6rqC2SkVs1MqekMCHv1gAKLUmp1GDf7MZFFDvgCPxz4UgMfbWv6j0eezOKtibsr8unIhh0eeCqCnt0WtyvUb4lhUw8xN84Dbq5dyOPoBPyKDrWm10eAslTRw8/28Vi/ncPghH0Z22tdqZSelKqyg1etXZdx9vxd7D7SmVUNn0OuU8VhaVRWGiWsy7rjLjbvua4NWa4y/3h/LFdq67bslPHDcb99OnUHg0rzpD5FtIo4/4YxWJ0u0GuwT8OiHApBa1GojO7OlWvXzePRDAXh9LWq1QUn24pxW0OrYxRwefjKAYF/7tZoo02oWxx7zI7KttS3SlQZ20qlqrY62QauVn5GmMly7LAMMuD4m4+77Pdh7p6clO9amR7XsMMZw9VJeq+MK9h104+77W9dqI597f0zG2oqOqRsKRndKeOBhX8vl+41K7ibGZSzOtVmrNexMT1Ro9YOBlnbcAxonXJ3QqrU2hit5LktzWuF+rlwwtdobatcYuEgipmN6wtTQ1fdyOPqoHwND7ddqJm1gYjyv1Ss53H/Uh+27b12rW2cGp6IhLiUR1eFyc3jocT/kHLN1+nNlrXC5HQ3ggIef9MMwGOamWt9KsVGUnIiZo4+jj/kguThbJ7U36lhWYuao476jXvT08AXHbYWGg8A1A5oKHLzPg/CAaOvkWvM8pNoNiqIYSK0Z2HunGyM7JEzfVGxlMwpT9hXPjTGGREzD6C4Ju+9wYXlBQzbdepahUfAej2mIbBNx5yEPVhM6VuKtZ9AaNfiJmIaeII/7j3mRSRlYXrRvx1obU25Hh+TicPwJU6t2Tn9uNMhI5LcKfvhJPxizp1V1vTYBwJFHfZDcnK3TnytL7kqxPvf7jnrRE+QxfaP1LZcblfGkkgZUheHgIQ8i29qg1TpJAlVlSK4a2HPAjZGdEmZuqrZmxesNzkyt6hjdKWHPfheiixoyKTtabTzbGhkUcfA+D9ZWdKzEWtdQozYhEdMQ6OFx+CEfMmkDywuta6iRzyViGkQJOP6ks1qN5/uh40+YAe7sVJvup06bcORRH9wee/1daZtQ2T+sxM2t6w8d8SLYJ2Dqhg07DbSaTplavfNeDwaGRExet7cNez2f01SGtVUde/a7MLpLwuyUWljn1ArraXVkh4S9B9yILmpIJ9vQr9YYA8SjOsIDAu6639RqwoZWG82sJGIa/D08HjhuanVpvj2+XelziZgGQTT7O0VmWJi1MZZrULFgPafjT/jBgXNcqw8+4oPHw7fcr26ZAKdR4BGPaQiFBWwbkSCKsFXC0fChx3QEewUMDEnw+njkcq13yOVOVHsQODQqoadXgGzHjrKOs3LA6E4X+vrFtj23SvFZZVzD2yWEB0QoMmt5urZRGY8VsG0bFjEwZGbr5Vz7G0grYBvYJmHbqJm9sOML9cov1XzAFh4QMbzdvp16HZgVsIUiYmGmULbhCw2D96ip1cFhCZLE2fS5+oOMRExDTy9vatXPI2fHD5rQ6vB2CUG7Wl3HDgCM7MhrtV126gRsQ3mtqgprOUmga2a2sZYda/A/OCxiMJ8BtKfV2oMMK2CLbBMxVNCqDZ+rp9V8wNbfLq0WZqRqDwL7IyKGd1jPzTlfCIXNz0dy2dVqYzuBII/BYQk+v2DLDxomI/IBm6lV3p6/NdCqFbCN7JQQCgtt6RuAGsmi/CBwaNTUqqai5SSBVraRSvn/WQHbwLBU1Gob+oeqrH3KgCKbWt3WDq3WSVBqGkNyVS/Tqj2fW0erYSe0WuFzUR2hsIiBIQkuN4dc1n6yyLRT/n+JqBmwDQ5L8AV4W23Cekl+QQRGtksI9rXeJmyZAKdykaKFIhtIJw2EwuaA1u3l2+ZEpQufmMGwkg+kAMDj4W2JvGE0nh8EchwHt8dex9JoZiUe1RHs5SFKHNxeDrLMWl5/oVQuTCvBGgT6Azw8XnNatdXPqJmAra9fhDtfXtWq0PXSMp46AVsoLMDjMe20o8GvHqTrJXY423bqrVOwArb+iABR4iCIdgOp2r6gKgzJtVKtcm0MCIq/LwRseTseLw/ZwQa/r9/Sqr0Gv5GdeNScYZNcHDxezlaSoFEpXCKmQ5I4BHraodWSALROwBbqF+HO22lVq2VlPHUCtlC42CbY8YV6WrUCtna1CfU2M0jnA7a+sABR5CBKziT0NJVhbc0o9ne2tVrbF6xBYFGr9gZn6wVsff1iiVadaxMCPTxcLh5uD28rSVCu1Qo7MQ2iCPQES7Xami+sl9gFTN8uaLVFO9bZZbXsxAt2xOL9tMEXagVsjOXteOyNE8rsVHw+VsDWFxYgCFx7kwQltqyArVyr7Rkz1tZqe+yoddoEwPS5UL8IjrfGwK19PlsmwKkXvSbiRfEBgMfD2Yz6a9tJrhnQNJQNzmxlZuo0KIpiIJU0EIqUDM5yrOWFcPVEwRjDSrxkEOjhAQbIchvs1IjGiwGbvc6/YUYrpiMYNAO2QkDgQIO/YgVsPXxJg9/acysr46nTsfSFRYgSB15wZgYnESsOAoH2Bu+ltqwyq9IkQfsCguLPqaQZsFl23G1sE/QaAVt/pDg4s5ckqO1zplb1QptQ0FCLvlCvTQBMX+hrk1YbDjZjJQFb4X6cGZxJEodAkC+0CS0PzprQaijcniRBvZJsy07B5zw2E3qNtMpK+juHgnerzKqoVZszK+sEbP2R4uCsXUmCSq0mYnpJ/20vSbCeb/eFrUGgvYH6euVPVsBWDN5btNOg5G6lNGCz7qcdMyt1yp9CYQFCPknQDp+rPDemSqt2kwR1+ruVuF4I2AA4Frxn0mbA1i479doeTWNYW9ERKmjVTBK0soHY1glw6jwMa11MX3/JDI4DD70wCIyUz+C0GnjU7VgsUZQ0+IyVDxZuhfIp+5JB4Jo1CCwGbEDrQq83ZW+tiynN0AGtd/71MlqlZVamnfY1+PVKIjmOg8vFgeNbHwRqDcp4rDIrSeLAcVwbAo/837KKJEFJwAZYwbv9Mh6g3BdKAzbLjhPll4WsfZuSBA0HgUDZ4MyJJIFVZlXMnNkNPGq3CVaZVbVW2xt4VGbt7c7gqHXaBKA8YLOSBK32D43OLkvEzDIryWV+Nna12qgfEiUgELS0ajPwKNvNs2gzXtBq+7PCZW1CtJi1L9ppPUlQzxdqBWxAmyoJ1gnYgPYnCax1MVVtQsv9d20/qKtVB5IR8WgxYLOSBK1rlRU+/1pa9ffwcLmLWm1XQKBXajUfsAH2kwT1KhYSsYrEoddu+WVtX6ilVTtJgnq+sFoVsLU+ZtwyAY6qMAj5TZAqB03BXqGws5THY6/evpEdq8wKMIVuGOUZiVtBUYwSO8Xfl5ZZAfYzQIpcvJ9S8RXKrEoCNsD+IEMQawdslp1ipsleA2naqR+wudwcOM5Gg19qpyxrXx6wFcoIW27wjZL7Kf6+sswKsGYiWvt8rDKegs9VJAmsgA2wBmf2Ao96PmcFbJadXK71JEGZVmsEbIGeYsfCjPJBya2gNGgTgFpabX2QUe/zAUoCNhsNPtBIq+VtgttutraOHavMyrJTSBK0Q6sNAjYrSWB3cFZpp7TW3sJOksAq46mvVbFEq/aTBPXsBIJm1t60Y7+SoKadfMDW01uiVda6Vuu1CdUBm81ZQ5kVzvIpa3tqDAIBOwFB7f6hELBFKgaBLWpVqaNVq8zK0qokceD51tuEUjulfUNlmRVgbyyn1um/a2u1dTvWrG5NnysJ2IA2lHQp9fuH0oDN7bGfJKinVUEEgiVaBezNTtazA7RHq1siwLGcyBqEWw+jcl0MYHYsuoaW9+hWatgBag8CAXudf9FOuSisMiugPQGB9R6NAzabGSCFgecBycXVDNhC/eUNsd3BjMfDl30+petigJLAw+bgzOPhK7Iy5SWR1mta7ljkkvsp+XyKAVuJHW/rWeHS+wGKvlC5LgZoT4NftFP8/UpJJtC0Y/qKE1q11sUAsF3PXavtAcrXxQBoS5mIy82D48pL4UrXxQAoWV/WuoY4DnC5+ZoBW0Grbg7gWh+c1dNqZUmk3bWGah07KxWZTSDf+bdFq8Xfl66LsbCTJLCSZpVarVwXAxS1aifwsOxYPleZtbfsGEZ51vVWqKvVWHFdDFASENjw7XptglVmBZQkCWxoVXKbg/3K/q4yaw/YDwjcdbWaTxLYTOiVa6g6MCzTqo3+oV6bULouxsLt5WzPfFXaKV0XY+Gx0SZoqlmBUdnf1QvY7CYJKtuEynUxgDlOsJMkUOqMTRMx3dRqIWCzP2as2a/GNPgDPNwlARvQWpuwJQIcy4ms6VGrIa5cFwOUzES0nJkxquxUrosB7E/VKjIrvEfZIDCuldmxnRVWGFyufENc0bGUBmx2M0CqwiC5OAg8VyWK0oCN5zlbu3xYDbE5OC6+x0pFmRVgr57bmqattFNZZmW9xm7H4vZyVdPbAMp9zsZMkVJiByj6QmWZFWA2+K0mCawynqId8z1SSQOqyqoafMDeTESlVivXxQAlgYcNXyhqtdixlK6LAdqoVaF60NRXQ6t2fE7KtwmVPlcasHE8B7fbRkBQR6ul62Is7KwlsQYz9bRa2fnbzaZbs/fWQKWy1t58jf1BYE2tssr+rvUkgVXGU2mnsszKsgPY6x8qtWqWWRXXxQClWm3dF2pptXRdDNCOhJ5R0GplMqI0a283SVDoV4VqrZZm7e0mCcq1Wvz9SkXABtgLCNRb0aqn9Z1qS/vV0rUxjbTaSuBR2iYAxf6ucl2MZafVJIGhM2hayRg4/zFXrosB7AUEQKVWzd8V1sVUJItMO+3V6kqsuP4GKA2kbt3OlghwLCeybrRqcBYpn8EBWnvohmE6UbWd2uIDbGaFveVRcuXiaKA9WWGpMGjKDwJVVlZmBaCwy0c7AilLfFaZVWkwANibqlVkA6JkXm9ZwBYvD9gsO7ZncLzVmabSMivA5gxOiZ3StTGVWXvrNZpqHqp6q5TeD1D0hdoBW+sBQbUd8/fFUsXqJEErWTqrjKdKq4ny6W3zWtowg1Nhp9YgsG1aLUkSaIUyq6Idu0kCS6sCXz2rG6rSqo2AIF8eK4pc2XoIcxBYrlW3184MTrF/qNRq6boYwOYMTqVv521VrosB7CUJ1tdq+QwO0FpAUG9Wd6Uia1932Wp0AAAgAElEQVRqp5V2mzFmZmsr24SEDrDytsdjo00ATF+o/Hwy6VpatV/SJbn4vFbN32la+boYoD1JAjOQqg4ISu0AxbWGraCWVWDUD9gAe8F73X41ppcFbICl1dYDUMsOUByTWGVWlQGbmSRoxU69/q524hBozecKs7reelqtDghaaROqtWq+x2qiOmCzXeZZo1/NZhjkXEXAZiUJunUGR6nTEFtiLj0Z1s6OPNUNft5+DTt2BoGVZTyW+KxrLrUj2tzlQ5EZXG6urCG2ZicqT9T12Cnpkg1zyr6kIWaG2Wh4/eV27Oy+YTb4fFXmTM6xqvuxNYNjlfG4ygOpWnbs7PJR5XOWL8gGPD6ufBBoYxeo0il7oNznJBdXEbC13hBbvlU5xV3Lt+2s+6pXxlNTq3ZncGpMpddqe9qZJChoVam2A1hrL2xkhS2tlpT7qgqroVU7gZRRHJwZpVo1atyPjRkchQGc2REa67QJHi8PVWX2kgQVvqDIZkddHrC17nNV/V2hTWAQRRTKrMzXtB4QFNoEb6Vv57Xqr7bTii9YZ5dVtglK3o6vplZb9wXrPfQG4wQrSWBHQ5VaVRXzPmv5nN0ZnFI7jDEocq3+zkaSID9OEPjySoLaWrUTsOVnPKq0WsOOl4emtXa2T73gvaBV3nmtCgLKAzYbAUEjO0Blv9p6m6Br5ritur+r7r/dbrtJAqMQvBS1Wm2nkCTohhkcVWEYv5wr6xCLUXL5VLr1UPiSuyjO4DT+cA3DtFMqnmo7rMyOIBRFIYqA0MSOPIwxXL+aK7seXcuX8XjKp+esLCdfYgdoPiCYvC4jlSzfRqjQEJeUvVjnuwjlydr8GULri2JuWqk6pbsQePCln0/eTnmiqeldPpYW1KpTustL4Yq/N3RW9dysHXnW2+UjEdUwN11+Uq4iW6UB5Q2xrrMyPwCa3+UjuaZjquIE+tLyGus+zO+oslPcPauxnVzWwI2rubIpd7XSt60dZvTanw+wfkOsqdVarbLTwBeabfALWlWbbxPKtZpPEqzTJtTWqnkAnlXjrhc+n3zbU8MXmtHq1A0ZybVyrdbyuVr3A1i7Z61vZ25aqTqlW5FL2oSKz4dvUavLdbXKmzNFZVqt7XOKvH6SIBGr1qqqMEgSVzWr20ir691TqoFWPd7KdrvaTnGQsb5Wr1dqtcJOqc9V+VuTu0XW0mp9DZnfa2l1vUGgpVW1Ka2a30t9rpAkaEKrN67JyGaKrzPyZ5dVBh71tOppMiCYuiEjuWpDq022CfMzSmFDkVI7Lnd5ksC6r1r9QzODwOVFFUvz5VpVSis9yjRUrVV3k0mClbiGuak6WhUrtVrDTpM70KWSOiavV2i1Qf9QX6uN7cg5A9fH1utX62u12SSBpuW1WrobbWXb02Bs2uysLjMYxq/kykrm6j03a7xQOmbkheaSBDW1mt/0qLJ/qDdmbHUHuk0X4CzMqRi7mCtMvQGl9ZTlUaUlitLMWWGXj3U+3HhUw9jFHBbnikIv1odW2wHKH3qzi+0yaQOX38lhdrIodMuJKhsUq8Go1XCtZ0fXGS6cyeLmeFHozGBQ1eq1MfUa4mYb/Itnsxi/Ut6gFEvhmmvwm1lsN3YhhysXcnXsoCLwqN9ArrfF9vhYDpfOZavsVA4C69lpNiC4OS7j3bezVWepWGU8QLkvCGJ1oAusP8iYuangvXdyyKaLrytkzirKIhsGbOv4wmJeq9bOQaadcg3pJb7A8+VatZIE6zX4iZiOsYs5LMyWaLWyTahIEtRsINdpE7IZU6vTN5vQqo3g3TAY3n27QqvM1KrLXT44K7QJYqVWmws8Lp3LYvxypYaMYilck1pdL0kwdjGHy++W26lXXtMw8FhHq++Pybh4tlyrSoVWrXalkVbX84Wb7+e1qpVrlRdQWE9Y1g9VJIs8TQYEs5MKLr+TQyZVqtU6/VCNNqHZioWleVOr8eXiALqwfsBTqSFz9prnS7XKQRTXHwSuxPNanWlGqw0CgnU+n1yW4b3z2TKtWkGVq6J/sLQq1hiorzdOMAyGd89kMVGpVaWWVs3vtXyhWa1eq9JqyQxOIUFZu01we5pLEly9mMOVdys1VN0mAOsEBOvc0/UxGRdqaNUKDBlr3A81e6TE5PsKLpzJliXAVIWBy5fcAaV2agdszdiZnVRw+d0cUsnifVeOGfUSX6iVQAaa12qsTKuVGrLsWMF78e8FwazIWFerCR1jF3KYnynRUOU4oangfb3AMK/ViXpaXb8favUMoU0X4FgfSiZd7USWsBpltAqBxzoP3RpU1epYPFUzK/UDgvWcyLKTLrFjOVGhgSzJ2gM1GsgmpoQt0ZQ+N6XgRObMitXQ1x0ENnFeiKGb0+OZdEVGq1aDX9dZmzvbJ5c1yu4HqF1yZxgMjNWf8VhXgFmz7lOrGMxIeTulDXHNLGqTAYHVgJZmMqwynsKWo3r9hrjZtSTWdaRLNZQvubOmlY0SX6jM2lsd6noNSq6g1ZIAR67UUPG+Kj8fS6vrNfi5Gm1ClZ0mfK5ZrWZS5c8NQNHnKtuEqkFGcw1+5f1YZTxWIKVXtAmVn5F1hlAjrTKDQZZZtYZKZlvXaxMsDTWn1YrZY7lkp6mSUjjDqJFNb1qr5qLastm8kjYBKM/cV3fIzdmxtJrJlPcPVodsvT+QDzzqBWzN9g/p6v6h1gx/5ecjSqZvrJckqKWhyuxzqS9U2gGstRf22wS9LVrN20lVtwlSRf9QqPSo6r/XHycosqnL0uem588us3yhmVnd9Q4AZszsg6q1atQN2Or2D01oNZ02qmYiKiswGDNnr6vbnuYCglzWXPtUehZfUavmvxvNrDQ7g5OrNfaRK7Wat9MoSdBsm9DkmLHyfqwkQTPjkcr7KawzrBoDm59PaeIQQFMH0dfsVyvvp6mEXpPjkVTJpEWZVpuZbe2SGZxGD706eq0OBgCrPn2dgKBmg18evRaj8eoo2Xrdek5Uy04xK8zXbIhrCX29XT4aDc4KMytNzOCst8uH1XhmShpIq4yncmalbilcE1O11uDMbCBLBjM1ap/Xs9OsACtnPCw7wDpZ1CZ3+ZBrdMpWGY81ONMbNPhWmdR6WWG5VkMsF2fYzPup3xA3uyNPrsZAvXq2tegL9bTaiobqzupavlDZEDeVFa6l1XwyosrnGgzO1gk8ag7OrECqyTbB08QBwHLJ4My6HquMR3LXaRNqBGyl11wLa3CmqcXnZd1T4blVDs5sarXSF6SaWq2VTW/OTi2tWlluoYnBmXU96/p2roYduVhyt56dwgHA6yUJamhVqapYKAnYKvwAaC6hVyt4rzuD06DdtjM4a7p/aCJJUFur5s+Va2MaBWzrHQCsyGaSrkyrZWU83LqBYTPBu6VVXSvfRrg0IKhOuNYrtWqtfyjTaokv1NNqq/1DzTahUZKgRZ8TxeIzaqRVoLlZw1ydNsH6+2bsNHPQcE2tylZCr/y4gnr9XasJvSqtrtcmeNdPEtRi0wU41sMojfasw8iKZTz1B2cAmpvBafDQK6Nxq2a8MkpuaganQYNftTamQWZmvV0+rA6uNDNzq1Gyu4mBuvVcNbV4H6XOWtoQG40a/JJrrnk/+cEZUMwGWmU8zZbCNZMVthp8oHyWrViTvH4W1eVuvcEvXQ9h2kFdO1bgse4MTo2MVv0Gv85gpomGWC5kZsrt8AIKmxaU2qn0N+AWtVrRJgDmjFTl2hieR9kiUiC/4US2cZKgVmBYlSRYtxSuiSRBiR9UabXJUrhmdou0nquuFTvIcq02F7CVXnMtrMEZUHx2VhlPMbli3U+7tFpewlxbq9U+V0gStJCtLZatVmdR62u1DYPA0sFZjSRBM9naeskVnjd9odROrVlq084tzODUDN6rA4LKUjigOIPTnFarS9mb7h+aSRKUatXaHEGusGOUtwlVpXBNBASWjg29aFOt89zqVno0EbyrCivuLlep1VuowFjPDmPs/2fvzWNkyco70V8suWdW1pJVdZde6L1xN81z020GaMDAxQMIG4+xhQ1CeMFI78kII5kxstXIEtjC2IyxbBDMmCcMg0btsQAPw9Mb1JjlPcDY7E/YdDfN7fUudbP2XCIzY3l/nDgRJ/bvxK3Mvl2cnwS3uiozvozI7/edbz0nc32IVFZydC7oJCi5PlSrQpIgp7ISJAmojnqsG4e39rH7yfYTAJ5oK5CTUtXlmx4FHRhHYBNyuZqhC+kzmvJJgmTyPSonjatFSYI0XHEBTnqGzo06gYXRq0QFJ/bQNY31WMe/3CyDX7TLh1gdiBtIvmuJmDkDcjIzOcRIM5CRhUU0+Fm9woQMkPg3/uyiyhoaEzsrYCMZfEGOrwszv42Ht3QVZrRqxQY/4pwN44ZYjzgZWa1wuq4FswpZEA1+ooJTSzGQdobOEU53zmq/FA2+I+hCajsKoSScVbKPBmzFBp/aopbWxlOpxJMEGTahwbYqtu3EnxJyxiM33OlJyGgZR7T4czmuG35X0YWluBWOMnshfoY4V5O9z/DvJ3oNSlZYDLI4h2yhjccQZmOy5FQDrmbLiThnBdVW3gqXVZ0s4mqqzk08VGp6epIgVefKBwTVWopzltIKB9DaN6zLTOJwOYWBR2p7Tfr6kNkKx5MEOVtsB1wdhzMnfAdHtq4S1gdCQMDleB6TJd5P1dcF0fYA2e2XuXIEvU+sq7X4+p2RoCzJVX52GV8f+LkxeVwtShLYs9CmxJPI0eDdC+xCVpKgeL1L8Rn5rq6+nLzOCOAyWrom7HBmI56gzKiC1hrFBwCnVXAykzg5NuHyuRpdH1Jb4QhJAq5z1tgLOBL1gQEnliTISujJ7kB35QU4me01rEwLEAykv22vOMydJSfuzFSqbGvehCFOba8p7t2ciM5MLDPDnbO4IU5GycX93GkBQV7mDMg2+HlEF430MJDjCnI0HEWlKM85C1q6PGYg3QxS8F0+yAbfzwA5QhtPYLhEg5+WMSlwMkTnLJ6ZSQve3czKSn5WOBJIUSs4GQFBmXah0Nmkl+ztWX6SgH8OaxQ1kJWqBk2PnhuTNlME0Pq5ucH3PMAapQfvTjCLxd5TLiDI5mpFCAiAnKQHYbdI8W/DFDnUnaaAIq6mOWeuICfUhSzbw5ME+RWppE3gbTzVmh5Z/LlNLRO827Pw+03LCuuCTQBysqiUrHAeV305YkU8m6vyTmDS2fTl5TiBhUkC/3NY43CXLX52ma4n14e0JA5lt8jgb1440xhZHwjBOy2hl1wfoonDaBsukNZyVyxnksNV8vpNGP5P52rUJgBM57LkUJIEaQEb34qe7woHMJ5l7QrH7il/t0h75gXPPR68V6t6IiBImykCiC1dQeIwrXrM/ru4gkNJUGZzldIeCyA4jDg3SeB/DnH+eOpvb20YyfUhy/bwa2RB1Dk+BhBZHwwtkSRIreCgeNYwjisqwBGdMzHaE3csAaKzMVm9wkA+0SOZGcFA8l03In3wGVEyJSAQ/8YJOPXbeAwznq3NGhgrHurLDwiig8tFBp8cSKUGHsWGmO/yQXbOuBwh6hcX5axdZQAUZoAiBn8YvR/RUXecbGcTKA4I0r6fSBsPNXgv2A3MtsPvN2nw6ZWVWr04STBJMZCsIqUHhtgRDFc6V4srEaIupHM1f0YKEPu5c+QIfxOdDF1nz4hxNZST1gpH6RsvrKzoGp2rl2MT0mZjUpIElao8V8XKV9hvX8TV/FmSPK7GF/88OUUBgZUiJ52r7DVZ1dZ6QVbYtr0gWEitgkrYBGqSQNygIbGuHmFCDwg3aOBzhgASu4Fl6QFQjquaxnZnjNsETQO0mLdDyQoX65wWsXFA+mwruxbNT0hfv4sDNsoBwGlJgnjLHRDO6gHlEnqTlCQOd7YrQmeEU2ATinagS+MqkDeXl70+5OmbY3vB5xfHAOJcjax3WUmCggOAxRZFnjzmrX2aHm3JzgukgPwkQZouRNbVWNdPlu1h1yqRaNPCXY/jCb2sjS2e1hUc7pwtLbOPJWY32ZfLXkep4AD50d7EckM5g6gcALS2F6LBD+WwC85EOZQombAjjzV20elGn5sYJYvnxmQZYrOiwTCLnbNanRnS4PsRAw9CKxwQDnjmyQGATldPzXJHDHHGTlMA7+fOIzm79tKyHgZSsQwdk5M9UwQUt4mIckZDB57nRdt4CK1w7H40thVoxrDdRJAjbtAwm7p+ew2t375esPjbNsucc90OMjOTqCGObDKQylVeicjXhXyuamSbkJ8VTtoEbvCDqm5B5oyaJOgs6YAWzpclAg/h+wFSkgT+2T5FOletaag3RK6yf3nFI2ETSiz+3F4sCVyNO2dAtNqazlWac5bN1bD9MssJBIqzwiKHRgM3aKHhbTyRVjgvvRWOy8lLEkS4Oos6M7LVViCbq47D7EB8XZ1N3FC340mC3IRevi4UcrUoy03YLdIaJ+VEuSqcG5OROKRkha2xi/YSG7gWE5QAfZMBSpJgMmbfRb2pBTZhGkvoFckBigMC/relrh44m/FdXQF/Hcqo6jI5RUmCkKtpSRxDsAn5XM23CRPBJvCZRs7/aCdBdisck8OSBFln+wTPbVmPzDRmcZWtq8nr1AuCd75LbYJD/u5zABK6kNUKlyeH31PS13al5BTZHva3DK5WBK46+VylbEyVhisqwOEGYLXHPGJxsUw1xEUBQYFzFpfD214AxM6NyTfERRWc5VUTmoaIk5HqnGU4gabfypYbeIxdNFs66g0tGMCNtNxFdqpIj5KB4lKtNXZRq+totZOGi2rwuRyKc9ZeMiILJZB0MvLkFFVw+DNd7ZmBgYxktHSiIS7Y5YMTc7VnBhs0zCZhABpxzjJ2AmP3k5+5T3LICdt4UnevKciiZhiUSUyOuPhHKivUJEGWc2Yz5yy4n7RMk4RNKNKFJFfFZESy2hoHJUlgjT00WjoaDU2oeAhtPIRsLbun/I0gGFc1NFt6JLkCRNtePM/LrU6yVqt821Opamh3L5ertGztas9kM42el3A2KXKKkgQiVx2H6YBoE4yU5Equo57J1VAOwHQ7vY0nX+fkuRq2WlUjlRUupyh4T5fDnbMirhbNQxQ5gQCzF90VE7qeTISG95MvhycJ8qvHHhpNHY2mHkniGKbfxkPlakFCzxqzxGGrpQscEhKU4mxMTuKwOEngwjSBzrKR0nInzpd5hVylJAmCddUty1WWJMg620e0CXz+ON65AhS3whVV+BNc9e1PHldzkwQZz070R7gcINzMAKD5jEVJAtdlG7aEXA11gVdbo7MxXkEFJ1/nlpYN6EZG0oOwfgcHAD+dKzicFCuCgZxO2LkHvC9XnI3J7gukGfzuisEM5IDN4YyHbignbohTnMCiXT545owbSP7lDgduEGFTomTKLh+W5aFW19Fsh1nU4cANHDsxW5sVJQN82C7f4NcbzGniGaDhIXPOeO8mPzemMCAgOGetlo7RiBnIoX/AVq0ePTcmNJDJ6xTt8jEZu6hUWCDFDSR3AOoNPTIbk5vlLtjlgxNT1O2Brw/1hp5u8DNK9vxzp4EbyBXBQHInulZP7l5TmEXNMvgpcmZTztVktjar97nI4HP53RVmIIf+YjkchFw1Iu2X6YaYJwmKnLN6Q/cDAs4hJ+BqZDYmg6tAcZJgYrmo13U020bEJnDHLrHBSUorHFC8A93E8u+nHXJ1cOgy58wMF2CmcwjuMXE/hAoOD6T4TKPI1bRqa54TmJUkmHDnrGsEGzRwORGuOp6QfU5epyhJkMbVNJvgFHC1aO7LissZusH3VKtnbGaQZxNkuDrzfP1IXx9yq60ZcrjtW1o2YJhhKw/jqp84JFRbeZKgyDmrNzQ0RK4euql+QpZNAHiiLb/To+6vq0PBJqRx1XXSW+EAQkuX5fpcNcL1+9CFYYRtPED+bAyXU1RZqTVYgpJv0JDO1WKbUJQk0A2mC3yDhpCrUZuQV9UNMvcFCb0VIdE2EGwC/+xOgZ9QKwjeE1wduH6Qw3SIXG0tSOglbM/QhT3zYFlexDct7vrJTxLwhE2na8CshAHbSOBqdDYmXd/MgiQB3/my3tCZLyfodi0iJ98msHvKD97TMJcA57vf/S7e9ra34a1vfSs+85nPkN/HlZg7M6OBi63zLF2xfoJ94dEzItJJwXf5KDL4jaaOhu+o7/YdzGZeKIcQJRft8sHl1xtaEHgMBw4GB24gJ2rwsw1x3tkArpt0zuyZh+0tG+snKux+CFEywJ0zmsEfj1y4joeL52dY36wElSL2mQgVnJyzfUTnzHOZgdw6P8PKmpE4NybMaKUbfM+N7vkvghl89v0AjOgXz9moNzS0l4SWLqGykueoZ+qc75wtddmbh0MXW+dm0A1gdd2MOYE5AVuBwY9na0cDJgcA1k9UyK1wRZmZoOWuy5yZ0cDB1gUbngesb9J1jreeFnG1Juj27o6D2dRLtwl2uh7wJEGRcyZydTR0cbjvYkOUU2AT2GfNtgn8fKdaQwsMvm176F+0o7Ynspteupyi3SKtsc/VlhFs0LBVkqtFSYK67zTxDRq2zs/QXTGC3ecScrK46hVxVQ+5OnBx8fwMtbqGTjfafplnEwoDgjGzw91lkas2dB1YWzdTbUJ+hT9D51K4etHn6sYJM7HTVGbgUdC+wbnaWTJQqWgYDVxcujCT5ip3tDOdwHHoWPKq4d6Og+nES5eTUT0G8oexg4NDfZ0bDlyMRy4O9pxwXRXPjcmwCQDf+jrfOav5Cb3R0IVje7iUydXsxGFhS9eYJSObLT3YoGHr/Ay9TTNo4wHilZXkdShJAvb9GMEGDRfPz7C0bKBWF3YDIwRSQH6SoB7hqoOL52eo1jSWzSfPyxUFBCwBtLxi+HKY7dF0YG3DlLYJ2VyNVla4TQCYb6oLLdmsIp7dmg9ktxbz37c7OipVn6sXZ/BcYH0zRecyWuGKkgRRrhoYDlzs7zqYWAJXY5vdZPmMedU8vkst14XRwIE1ZrK4bxo/riCPq095Bcd1XXz0ox/FH/zBH+Av/uIv8NWvfhVPPPEE6b3c4NfrYbR38RxbwJZX2beYmI3JcGbyhu24nFo9dJounmOkSAsIsqJkfo3shSXqnA0HzHkGgBOnQjlhpSjdmPBrZGUCuZGpNzS02gassYeL52ZwXWDzVEiKoiFSdj/ZzpkrOGfNFqtYnH9yhonlYZPfTyQzk5dF5Wf7ZBOw7n8/ALDbt7G34why/M/kFDln+aXawDnz5RzuO7h0cYbNU8wJTHXOSgQEkzTn7JyN3oYJ04z3PiNbTsF5IZbFDF6jyUq6w4GLC+dmWOqyZykOKebuClfTgJwkQcBVwVG/eI4tYCtrnKuizmVztZaz050l2ATmZDiMqxqwcSJpiPO5mn2GUNw5GwrO5mYqV8slCfj5TtzgTyyRq4LBL8icsfvJThJEnDNf5y48OYM19iI2AYhmUbMc6NwkgeCcAcDutoPdbQcnTkdtAmu/zONQ/uIf5+rg0MGl8yFXZdpWmZxs54zbbCAMPNY2zOAIAS4nby6vOCvMnLNGk61XfH3oLLFMPr8nJ5JNT0kSFCT0xPWBB+8Xz81QqWpY6YVcLdo1tCihZwXrahgQBFw9mUwcFnO1wCY0ojYBiHKVltDLtgmic9Zq65hOPFw4N4PrxOQUtMKx+8lOEoRcDdeHC+dmGI+8iByAz4Kyn7N0rihJUK+HNmF3h3M1TOLwe8nfZKC4wl/3OzAAVjneinBVkEPiarYu1BosUQ2wluyLT86wtm5GKl/FXM33EyzLhaYxrtbqLPC4cG6GdkdHq+NzyOdqXitckCTIDAyjwTtPuJoVlgjlcmTWhzw5tXrUJkADNk6lJPRyfMa8s30CH7gedv1wroY+cMxPyLEJRdvhx3HkAc6PfvQjnDhxApubmzBNE89//vPxL//yL6T38rKmWQGabR2DQwdbF2bYOFkJsiJ8NiaIkjMrHtnRniU6Z/6Xe+FcSAogbvCzs6i1uoZpkRxfiaYTD+cem0ZJIZbS86LkmpbZ/mTFAjYAOPvQJEkKYjTuZJztM404Z+zzn31wEiMFey3PmGS2wuVkgNKcs7MPTQCIC4uY0WLvS9OFakFJmLfCcQP5+NkpHBuJgK24xF1cwanXNZgmM5AXz80wGropAVvoBKYNd/IBwKx95yd+YKhpzKDs7zrY7TvY9J1NIDSQec6mpmuoVrMrBNw5q1Q1NNuGv4DZ2DhpBu1U8dPE87madT9i8O4nI/gCJjEbE8ohOGdt1vf95KNTtNo62ktpTmB+tXUyockBGIfMCqsOMDnCbEyBwXcztu0NnLN6GBCcfTDOIfZankXNbIXzOTTN5apgEwKuptiEguF/IH9mpV7X0GjqgMa4agtcpc7G1Ag2oV7XYJhsg4at8zMMB264IKdUW7M6CQDk6kKtrkW4unPJjnLViFd1sxN6eXN5msY+T7OlYyhwVRe4Ku5OmmZ7gAKuCs4Zb7+88OQMKz1WyeNyitpji+REnKY2Gw5/4pEpmi0d7SXeokZre6nWdWmuGiarDgBhS7bneoU2IWvbXn6EgBgQZHPV14XMVji+DqVzlc/Qcj/hkYcmgJdhEy6jgsMDj3qTbdDwxCNT2DMx4SrKgS8n7X4KKkW+TTAMtkHDpQs2BoduasI1bzOiatVP6BG5erDnYDvBVa2wA0PTNFRzzn6zxi6gMX+Pc/XiOeYDc64mZ2NyfMaC1j6xdezCkzZW1gzUUrmabxPS1gYgrIhxm+DYzG43mlqwKVb8YOtcmzDJP1Q0joyYrDx2dnawtrYW/Pfa2hoeeuihxOvuv/9+3H///QCA9773vej1eoB3Aa2Wg/X1daz2gIvn9gEAN926il6vDQCoVEcwzQpWVtYA7GNpqYVebzVx/c7SFBPLYdf1YZomer0ezj7Yh65bOHlqHdtbe3jkR9uYTT3c/r+totdbBgDU6+H7XfcA7QTXQr4AACAASURBVHYjci2O7rKLg91h6t+2zu0BGOHU6R40jPHD71vY3XZw+08vB69vNl1sg71f08ZoNI3Ua62s7uDRh3ewsrKWUOjhwQDAACdOrsBxPHwHI+xuO7jupjY2NtbZ8+jsAN4Eq6trMIwZarVZqpyd3gEAC63mMjpLlcjf+lsWgAOsb3Sxtl4DMMDutoONk3WcPr0BANi9dABgjG53BZXKHiqVdDmT8QjACPX6Enq9RuRv45ENz9vHWq+Dq6/uQtMOsbvtoN0xcd0NG9A0DdPxCMAQnU4X44EFYIyNzR5MM2r1TWMKYIBqpY1erxP+3jSxtraGibWHldUWNjd7aLbY/Zimhlt+ahOmqaNiTAEcotXqAB4AjNBbX0V3uRqR0+26AA5hGk30eiuJ+51Nh+ht1tDr9bDUHePSRbaAPfP2TbTaJuyZC+AA9UYL7U4dwACrq130es3Etaq1Q2iopT5Xx5mgvcR0aGXVxiMPDwAAtzxzHb1eHQBgmAeo1urodpcBHKC73EGvt5S4Vqs9gueaqXLgXkTT5+pa7xIuPOlz9Za1gKvV6gimUcHqyho8bw+dHK6Ohk6qnEcf2oamj3Hq9Dr2+vs4+1AfhwcunnlHlKvjEXu/5x6i1crm6u72INUm9C/sg3PV1C382/cuYHfbwW3PFrm6BYDJ0bUxavVsrp59aAfLy6sJfRwPhgAGOHGCPYdv+1x9xg1tbGwyrj7Z3gEwwepqD4ZxAdUMru6uM642G92EPu70J+Bc3TjJ9Gl328H6Zg2nr2Jc3ev7XF1aRqW6DzODq1OLcbVW6yT00bIcuC7j6lVXd6HpB9jddtBsm7j+xk1omoaZ5XO1vYTJeAJgjI2NXjDMylExOVdbCX30PA+TyT6WV1rY2Oyh1Rpid9uGYWi49ac2YVZ0VE3G1War7TsDQ/R6q1hejT4be5lxzTQaEX3kujCbDbG65nN12cLWeQsAcOvtG2h3Kr4Ds496vYl2uwHG1eVUrtbq2Vx1nQnaHZ1xdc3G2YcYV29+Zi+wiaZ5iGq1ju7SCkpz1buIRtNmXF3v4/wTewCAG29ZDWxitTqGaRhYW1uD6+6h08nm6uDQTpXz2MPbABhXD3b3cfbBCQ73Xdz1/LXAJtbrM9gzpmeed4hmJlc9bF86TP3b9sV9AEOcPLWGamWCf/0u4+pP3dHF+jrjULN1CfDsgKuVhp56rdXVXZx9cIJudxWViu4/c/YcrSHj6uaJFRiGhm/5XL32+hY2fa6e6+wCsLCysgbTsFGtIVXO/vYhGFeXsbwS1cfdbcbV3kYXJ08zfdrddtDbqOGqqxlX93cOwbi6gmplH6Y5De5VhD0dI4ur04kD19nHaq+Nq65ehmGwdbXRNHDDTYyr7P2Mq/ZkCsbVNVRrUa+zVpkBGKBiJrkKAFNrH8srTWxsrKPdYVzVdeDWnzqBSlVHrToDcIhWs+0/9yF6vRWsrNUi12FcS3KVYzYbYnmF8au7bOHiOcbVZ96+gc5SxW/l4lxtAjj019VW4lqN+iDBVa4Lca7++ME8rq4i5Go3IafdHsNz09cOeFtoNGysbzCunns8hau1kKuOvYfOUhO93lriUp3uDAe76Tb98R/vgHN1sH+Ahx+4hIM9B895XsjVRmOG6cR/vzdAq1XP5OqlCwfp/uTWAThX67UpfvCdMXa3Hdz6rChXPc5V3UKloWVy9cfOBN1u8l6zcOQBTlp0lZbBP3PmDM6cORP8d7/fx/6+hUrVQ7/fh25MAbAostYco9+3/Os7GI9dbG31AQCWNUK/n4yGNX2GwcBGv98Pftfr9dDv97G3M0StrmF7exvQpsHf291J8HrbmWI6cdHv92HbLqbTSeRawf1igrHl4NLWpUT2c7s/hqYBg+EuXF5TBLC0En6u6dSCbTM5k8kMtYabKsdxmUN87slLLIMp4NIW+5s1OYj8fnktvJZlsee3tdXHeDyB53mpcmY2Kx9eOLeNyTSqHhcvsL9NZwOMx2NoOuC5wNo6gmuNRlP/3ncwHE6gaelyJhP2PLYu7sKsDiN/299lf7OdEXZ2bdT9HWx6mzr7zgAcDljaendnD4eH/s+72wld4zvR9Pv76K5Ngt/3ej2cP3fJz5Rb6Pf7qDeB0RBY2zSwt7fD7scfitvfOwBX7YODPczsZPrMMIGdnQH6fSfye8/zMBrOoGk6+v0+qjV2ze6KgbG1h7GFoGd6cDiEWWHf1WB4gH5/lJBTqQL7e6PU53p4MMHSsoF+vw+zwr6vWl0DjEP0+8woa5qH0XCM/iX2OcajAfr9aeJahuni8CBd7/f3xwFXNZ+rmg7UWlGuWpaLiz5XJ5lctTEazlLl7O6MUKsxrnraLPi9yFXHmWE6cdDv9zGzHcxmViZXJ5aLra1LQTaM24T+pTHgc9UWuboafq7pbALbZnIm1gxmNZ2rtsO52g8ypRxbfmBrTQ+CbCkALPcyuDqaAMjg6szn6vkdzOwoV7fO+1y1BxiOxkFr79qGluTq9i6Gg2KuXrq4h2o9qo8HewJXd+xgM5X1NK7u7uPwgL1+b287YS95drvfP8ByTB9nU1bZ9BBydTgAepsG9vYZV/kZSft7h+Bm4OBwF7abTAmaFWB3ZxDRR64Lo8EMa+vsOVWr7PMuLeuwJvuwJuEaNxgMsbPNvs8srlarwP7eOJOr7SXGVcNk3xfbkWmAfp/bRBejkYX+Jd8ejUtwdW+Mao3ZaE1nn1fTgEbLQr/P/tvzbFiWg4sXfa5Osrk6HGRwdXuEWl3Dzs42PIRc7XSnAlenmE59rs7cXK5OJy62Ll5KZI77lxg/RqM92E74GZdWY+uq4wZc1U29gKuX0PIrkFwPOFcn0wOYQnvtSoSr7DVbl/oY5XB1KnDVdqJcveSvqzN7iMHQ8jdNiXJ1OAy5OhhMoOtIlWNZIVdrjag+cu457hjb2w7qTQ3DQw/rJ4yQq4chV/cDru4kvgPe4bHdP0joox2cGcP0sdYADg9Y1Wv/gOkxryDs7x8GCduDwz04XpKrlaqW4CrHaGBjZY1zlc+a6ZhM9zHxH4+mpXF1nCLHS6yrXBcODyZotvUIVytVDbopcFXzMBqN0b/EnuVoPES/P0vI0Q0Hhwd2BldH6VxtjwOuuj5XuQ88maTbF02bYZizrlZrGnZ3s7lq21PMAq46mM3S7YuLCWYzDxcvXEq0oXNfYDTeg+OG31835gM7vg9sjWdoNLUMrjI9O/fkJdx8y9WJv6fhyFvU1tbWArIAwPb2NlZWkhntNPCyJoDAMehtmhHjwstmeQNjQFg2Swu4xB0puJxO1x+888GHFPMGxgCwcl5Gzys/M0bTwhJ3pRrOKADRTQbcghI3u2aS5Px31Zrm74SCSN8zkGyryH5uvK0i5bkJrXCarqHpB1q8HMzksH/5AV6FclJKmxOhrAkgKNuL5eDooX7ZrXB5Pa9BH2pMF06cirZzBXJySukA04W0dkV+vhMfOua6wMv1AGKzMdklbsBvgcrZ2ILPHXE5YosnkFJKz/mO8lv7os9NbPFkcmK9z7lysrialNNe0gNnBIi31+TI8Uvvae19E8tDrcZ6w1ucqxUtGCoF0mZjUsXktkAFOldjbUWGCUADNvO4WsImiO2xvK0CiHM12n6Z9dyqBNtTj31Hm5kcym6FM02mM2lc5a0OcV3IlsN+zm7fSG+BsmfsfKpgfWgn5YTb7hNsQk5b5MSfUwAQ6JzY4sk/f1HbC5OTYxP89hrxfsQWTyAcXKbYhOk0fYg9jatiiydA2zUUENv70tcHvjUvvx+zAqwJXI3PKZg57TXsmul+An9Npcp2iwKYPRXlAKEuFNmEtPWBt9zVY76CuD4YR2ATJoJNAEKdE3VbPJ8mb1c40/SH2HPkxHUhe13NboUDslut+OGbtThXT0c7TyhzbIDfrpjTfsltnMhVXeDqUdgEvl24eD+rPSPYzp3JodsE1v6Y7svF/QSxxRPwZ2iJrXBAensfP0LAMMIxALHFk91P2JJdNJcHZLcrpuHIA5wbbrgB58+fx9bWFmzbxte+9jXcddddpPdOhIfOH/SJuLL6Bj/vECog7HlNG2KPOGdtA5qeJscfvs0ZGAPE3bPy5VSqzKHZPBUjhUHcZCDPEPukYDt5aGh3DKytmzFSsH95QFDGORMNMcAdzRgpIrMx2YY46HktcM64HHFGAUhxzjKeW17PqzjADrBdhlhgmAzYqDqXpQfs79xBZxdN1zkheM8bYk9zzvzznbjBz5SjR3efy51Zyeh5FbeY5d//yYQcLTJTlKdznhee0SLCGruRwFBP5apvE3J2hQPyd7qLclVHra5hI4WrlNmYvJPL+flOusG42lkysCbMKABRrrLttfNtQlr/sxUL3ttLBpotPeh7jsvJswnVqj/Enpr0CGekAJY9NU2WmOIwRK7m7ArHhtjTF39xUwsuJ8nV0AnMGygG4G9Tn6IHFp2rRQPS7Do5ztnUo3O1KGCr6/7cVX5Cr93JlhO1Pali2HPJSOjxIwQA5izpOnDiqnSu5u0KB+TvniU6Z5UKm5PaPFmJ8CQ+G5Nns7PkiM4Z5+pqzwh0A4jOxmQdmhyVkxO8C7rQaLLdxuJyuC5k6QHfBCOPqzVBF4wYVwM5Tn7ikN2TTrIJbf9Q442U5ArJUc/YPSuY7yD6jEVcrWf4CeIRAkxOOof4bAzFJmRxle8+BxRw1Q0D+ML1IeM74nrQaLKt70+cjiVCfZtQlOQPuZrtmwIsKG40NWycrESejXh0RdG8O5ND32jgyFvUDMPAb/7mb+KP//iP4bouXvKSl+Dqq4vLSbYdzZy1OwbuOdMOtv/j0HVgZtOy6QB76JVoyysmlofeRmggX3imHShTKEeLZReK5LgAoi+ajN0gatU0Dc9/aTv4kkQ58MSAQN4Qi84ZANz9gmZC6cUDHlmUnB7bBtF4RmVFPNTqjruacF0vQQogzKJmBh66lpmZiTtnt9xex3U31aKkSMhJFePfU3pAEDfEz7ipho2TlUAHmZwo+YD8xX946CR+H3fOTl1dQbvdRnclSj9dp2dRs7IlQBiwrfYMvOBl7UjFEOCVCJoh5kPsFcHGxp2zVptxtZvC1SkhcyYu/tVoCzbYYWR+ltbUcM+ZdrBBhyiHWmHj14xDdM4A4HkvaQdcCOVEdSFvcJnJyXfOAOA5z29GgiggtvjbHurNdK7mDbGLzhkAPOvOhp+RTeEQIUmQGbzHnLObb6/j2hszuOrk2wQgO1sbd86uvbGG3mYl0q4r2gTuO2QuljUdh/tpXI3ahJNXVdg6tJrGVXGL2ww5dR2TSbJNZRJzzlbW0rkaOGc5W+kyOeEQe1WozMSds2ZLz+QqKTAUuFqrJ+9pebUSfM57znTQ6kR1N8nVgqxwltMk2Ojn/Ww74IIoBxADglQxhYlDkat3Pq8VaSsFRK4yXajW0+8n2Okug6tmBUGnyu0/3YAT52rMJmTpQcjVnGqr/+xuuq2Ga26oRjtkxM1ucmwCkMPVmJxrb6iht2FG2nVFrmr+JfJ0YX837bmFm1oALMF2z5k2VtbiXI13/WTcj5DQE599WMljv1tezeMqzSbwne7ENUY83wlggccLz7SxFOeqocF1XJJNAKJBE8fEcrG0HG7O8sIznUQ7NXtuhCR/gc8oyv53P9uOVI6BWDcOIcmftaFBGo48wAGAO++8E3feeafUe+JlTQAJRQVou8qw64QPvS3MwPHDN0UDGXc0AZkoOS8z42GlF8rpLCWtbCKLmkMKIKtkH3XOmu0UOTyLWhAl60b2ibGW0OoAIEEaUQ7dQBY7Z9WannB8pQxxxgFRk5hzZprRrBmQJF9+RkvDTr84YNN1Dctpuh1b/LO+o2qd7RwUv28uh+uCpkVbrAI5hnzwXqmEL4o7Z0AWVzW4rivsNFVkIF10uqEc7pyJNiGbq3LOWRyicwYQuOoQFpasVjiBN2JbLEfS4KeKga5n757FD9/kyOVqQcAGMA5mcdU0Q+esWtVRjSWU4md4FHGVnxgfkRNrhTNNLdVJ53Jcl7XWxINHUU5/q9g503UtXbdj60OezvFdKUVHMuRqmABL5WqJ4F18/lwHawSuiodI5gWGTE40ocedM1FO/Pth90PLphe1ZC91Q662c7lKa8lOb1t1Y1xN4RA1oZez0x0/pJsjlauJqm6qGP+eshN6hsFaQYEMrhKTOFzOICehJ2bu05J50OAHcsjcFY5fJy0wjFdbtVyulk/oxQNDOlcLdM7yUBP8mmnA1fBBpPkJBtUmZATvwc6XAlfjfg8gBGwFNqEooSd23sQLCYCgcwW+XNGulGnIUKnFI55NzwKfjaFEyUDyYcT7ULMgkzlLk5PmnGXJAcJWuszSc9DzmtVPmS8nOMDrMrOoacY3IocYsAHZPa9iWTML0QO8vFw5rH0jnXyic5aGyGxMzvbaTE766c7xykoW4u2XshmTeCtctpyYgZSck4oHbFlIGGLJ4D0esGXKkcicMTkxrqY4Z2kIkgS2B8/N/n4Mg/Xrp/fbF3OV2n4JZHOVnxmTKyfmNGXpAZDTfhkL2Irk5J2nwORkt73wIwSyEJmNsYuds9k05FooJ+qcZSE5GyPnqNO5qpGdMyYn/X4odvtybIJ4+GYewrk8Lif9ddUMm+C54REC+XLCykpeK5yu5yf0ivyE5GxMEYcy5BRySC5JkFVZqTX0zAQdkwNfTn4SJ19OeIRAHgKd89tj81rheEIvIofoM8YdddnKO9UmUFvhimxCMYc0cisck5PkKj/fKVdOvPIlKUc8QiD/fti/RetDXkIv89rkV84Z8Wg8CwnnTNbgE50zaubMzBhiF09GL5IDhPMHuZmZlCF28WT0fDmSBjKtlG7JOWd5PcmhnOKyZroc9i/f355i8OM9rxTnjMsitcJl9LxSnDNA1LniVjggaSDjrXDZcuKzMSUNMTFgo8uJcciiGvx45Ssj8MgYYic7Z5yrs/zvB0jPoornO1HkULOolGprGiLOWc7ZJ0zOZThn8fYagk2ID7Fbvk3Ic86YLB4YFtsEIOlAT4jOmUy1lV83IofqnOncSafZhPj6IO2cXaZNoOic54UJvSydy0roTad05wwI11XZgIDsnBFb4Zic9ITeJNYKlyonkqAssAk51VZKYpfJoXE1bYhdPDOmSBY1MATS1wd+vlMe+GxM2W6ceCtcFsjV1gybIJ7vVCiHELBFq62iHLpNAIqT7zyhF5cjnu+UK0cX5HjyXM29NvmVc4a0c1YQvWYNsVOds8AQFxj8rCF2cubMV86yhlg8GT0PiT74oizqAp2zROBBMcSJUnrec0sfYqdkubksOUMcCzyIzpkhOGdFrXDsusmAjeqcOZETsbPuJ73nVco5IwRslWr6SexkQ+zrwqzAEGcNsctkzgAZrkblkDNn8eBdMovKuUq1CXyHoSKupg3GkpwzwQnM2ymSy0kbYqc4Z0yWRrYJQLrOFWW5AT+L6tuE3Fa4WrpNsIjOWdCSXbhraJYTeLTOWdYQuyXhBAIih7Jfy3ZCvTznrMgmcDmZzplM8J7TCgekt2R7nhdUVvLAn5Pj8IHvbDnVjCF2S8ImBFXdEgk9iu3hsqh+ArtuClfJgZS/DmnhPSbkZAUElhscvlksh9D1k2ETyAk93nJXYBPMigYjJaEXb4/NghHnqmTlnWwTEj5wgRyJTQaunACnZOYs66FnDbGHBl+uspL75aYMsQfbwco6Z7nOTPLLDeZIqNG4TY2S050zSoUNoFdWxJ17AHrmzIgZ4vye5OzFv+i5ATFDXKAHaXLi8xDZcsLB5TLO2cSSMPhCiTsro5XV80p2zvRQD4CiwCObq4U6J+M05diEwuzzgm2C4yC3FQ5IP4l9NmPOGdUmUKu6aSexTyyX/P24QfAun62NzynkyaJtPJJtE2iBlNAeS3LO0m1PYdJDj87GFCb04i3ZwhEC+fdDSxxmJfTCdUi2CloUEGSs35I2Ib8zorxNkA0I4rtS2jZ73zwSeokkgVVc1dVjxxXQuJrsJCBzleIn5HBVyiYUtsKx3ycSehbbDCBta3sRvOUu3G01/XWVqgYtJUlA1rlEy12Bz3gZYxoANUlwdDYhV+eeri1qbAclibJmQWUFSM+YTPxovFoUSElna9Pba6gBAS16TbZ0zcMJFIfYk3KO0BCnZEzsGXtvUbYkMRtTkDmLy+H/XSQHEHWO2PaSogskQ0xuheOBRzmDH/bb5+tCVs/rVIargsHPzTqmtFXIGHxADDzyv6N4Vlg2SRA6TQU2IfH9SBp8ok3gQ+yhHDmbQMqipgTv9ow5J0XPLZiNCZIEcjYB8AdyKYGHsD4U6UGanInlZu6ElZDj0lvhklluCSeQ0AqXl9Cr+uc75coxEONq9msvK3iX4mp5m2BI2oSswJCcoCT6CXyIPS6nKsVV2vogOuqO4x8hIKVz5RJ6k4kEV3lVN7cilZXQk7QJBf5IVkKPEhgCTBccl5jQS+Uq21ypkKvEaiuQ0/UDus7REocLtAlPx00GJhOawTfihrjAUU/rt69Wi6NxqUxTyhB7oESEzBldTnKIXdrgE6Nk8doAgvsrVlb2L22gOCmHK28R+bgsqRK34GTYtgvbphl8MTNDqqzEdGE68WiBFLEVLmuIXd7g57fCARnZzQnN4HOu2gXn7QDphng6oRt8QGI2Ju5sBlw9wuxzyhB7Wa7SspuhLkwlFxZqK5x4D0Co5zSdg5AkyH5dmhzX8Q/0k+Rqnr5lDbEzrlKzz8VJnKwh9jLOWV4rHJCV0KPJCWdjwv/OlJPBVbOS/z5AlqspSYJA52S5micnJaGXsqNVGoIWcwJX0xz1clyVD96ptofLKpvQc12+uRJB5/zZGH7eTqGcBFdlkwT5fkJWQo9cKTKiszFZrXBAdvBO5SogzMYUtCumJYuMgs2VANnuIi1Z+SKuD4akTRA7fopw5QQ4Em08bDbG/2/pLCq9LQmQqKzEhtinlqTBJ0bJQDQbGCgR1TkjRslA1IEODGShHIF8hFY4IBoQSBliXaOVuFMMsTVy6HIMBJmZPEOcNsQuY/CphhhIz5hMJ26hkx6RU9AKB2QbYpqcmCGW3NiCtwYUypGttsaG2CdUgy9ZbQWii3LIVTmbULQlLJAReBBtAqUVLs8mUHWB1l6TYhOIySKAXllJG2J3+YYt1IAtkJP/2vQsqku7H2IrHJCe0GNVappNAMrPrDCuUpxAOa6mJfR0Iz9xVkYOv7YoByBwNWYTZFulZW2CzGxMJEEZtCrKBgSEhJ4YsE1ofgIQbbWSTeilbXWcK4dgE4Dsigedq+GhmLmJwwybQEuEsn+pG1OVtglS8+E6ZjMvkiSYWiwpY1YkKzgErlJx5QQ4EgYf8B+GRouSxcCD+uXKlbiTQ+ylDX5BNM6uHc0A0Qw+onIIhtiKGGJe1iRG4zLOmXBGzZRo8AG6IU4bYh+PWYBDds6c4vaatCF2GYNv8MHlgiFSINnzKmXwI73P+a/NMvhHnyTQMY0lCSYTWrtQUucKFmUv2p8+JTuBcjYBSOFqGYM/p2ytbBJHvDYgnttA1bni4D1tV0pquxCX4xCcJna96BD7dOICHpGruuZv1JFvE7icOFen5KwwLYnD5KTPTpJa7qTsdnKIfVJSjuwQ+9RvKy5sj03IkeMq36GreCZYgqsp7Zf0dlK2hpHuJ6Wqm3YeUqasiM5lvy4toTcl+gmAZEKvrkf8kZm/mx7FZzT0cCfCvLWBy0lWPKgBAS1gA3jgkZI4JNoEQCJJMI0l9KgVtoSc7NemteJO/M4Vea5mv5byfCLXlnr1HCFj8AGWacobGAPCnlexpCWToeNyxP/OkgPEMzP0Mi0ga4jjARtFiWRIkW3wi2aX+GwMqWSf0vNKNfhAzBDnBHhpQ+zWWK6CQ82ixlu6giy3hMGnG+KkwSfPFBFa7tjnjva8skCKbvD5ZytshUsZYqe3BsRL6dmvvRyuSrW9pLR5kucMJbPpSTl+traIq/5sDMUmpA2xU2eKgDCLWnTeTtoQO7VdSJRTdAYXkOTqeGT7cuQqK3lrQ5oc6pxhRA4xYIsPscvMGQJMFwpb4VKG2KkzRbKzMfzagRzC2XJAWntN9mtTW7JLczVHTspsTFgFpekCpcU8bYhdNklAmZcLEnqXYxMI7bH8c5e2CXw2poRNmE1d0pwhkyMTsCWTBFNqx0JM54qS/PGEHnnOUDZxiKTPKMVVUpLgaVrBkTH4AHsYlCgZiGdRqZUiiYAgLWNiuXLRuISBTDpnZVoQCHIm8gafy6I8t7SeV1mDb9sAvHzysetFMyZjmRY1Yiscv14iK4wSBp9SWYllSwDi7JLOZ2NohlgcYnf8XX9kAwI6Vy/D4JO4mm6ISZWiUm0v4qJM3WxCInNWS2bOpn5LRdGcIRB3mrJflzbELs1Vh+3uRstuRvWA/V62UiSXrQ2qutJZboJzNonqAZNDCwg8D4WzS1yOOMTu2B55zjDK1WI5QNJRL+WckbiaTBIUypFor0mbjaHOGcpk09MSetQ5Qy6LYhPShtipc4aAPxvjeIWtcEB2Qk8qeKe0SsdsgpQco7xNkEuEstfYM4I/EkvoycwZir4ppRUOSFbZSrWtSiYJpLkqkdCj4ooJcADahw/PjXHJhpg/dJnB8tBpciP/nS7HN5CTyzD4XI7kELtMH6ooJy9KTut5pRp8LiuUk//auIGUMfiGIdyPZKuVJdGixoflZbKoHHIzRXJyxCF2GTnikGJh5iwWvMsNloc6J8tVKYMv2ASgXKuVXE9yMVfThtjl5//4/eQkCYzkEDtVDn8/xSYAnKtR54wyZwiw19gE5wxIcpU6WA6IszE0R138fkJn5ujmFPj1xCF26mA5lwMwXSis6saCd9m2JC6n2NmM2gTX9TCbllyHpLlK34zocuTIbEEclSOf0CNzVafJAZKOOnXOAWFMgAAAIABJREFUEGDfEWVuksmJV1bk1geZhN40pgfs91Su0m2C44Rzo2HSgxYYAkQOxSrvMlyN+sBUOex5eVJzhnGulknoySQO6Vyl4ooKcGhlMyF6JZAPCEknN1hePkqWM/gI5AD5AYGZ2vNKGyyXaYUD0jMmFDkAvYIDpBtiusHXJOREs6jjsU03+Do/1I8QsMWG2KlDpEwOH1LM354TELOBvtNEHCzncgDeOiZpiCUGy0Wdoxriacw5k6226jqRq5PQOaO3qMWytblcTQ6xl5ozLJADpGVRaS2EXBaVQ/EhduqcYVyObB88dbAcYLMxwWHGlGqrMMQeVHVlNjOgtL3E1gdZmwCE65CMHNnB8kCOpE2QGiwX5GhacSsck+M7Z1JzhlGu5ulc2kns9MHy2GwMZX2I2QRq202Eq5JyqHMkcTmyrdLUOUMAkeMKSAk9YYhdelc4F4W7wonX4xwN2lYl2zxlE3rU86ouV8506pHnDBMtajlvqcZsgtScoUQrHN+VkoorKsCRyaJOZ/LO2VgyQ8flFJEiPsQ+lewP5XKAfAKGpWd5g89nY6aEFjX22ZM9rzJZYTk5MYNPLEPqBu25MTnRIXZr5NDl6OEBqSSdE3peJxIGPxxSlDDEPCCQNPgA1+3818blSA2Wl5ITNfgyWe4poSIVH2IPBsslbQJA1bmQq1SDz2djpoQ2HiZnkVxdjByxP506WA6ErXCeS+nr94NqX6etsUMaLOdyZNpegDSu0tsVKetQwiZIZYXL2wS5OUNBToGTHh9il5ozjHOVshFEfDMDifVBxiYkE3rU9U6jy4m1ZM+Vq8IQO3XOEAgThy4xcQiEXKXOGTI5IG0SBCQdddmqLkBbh4IdcUv5jKEc6aquVPU4ahPyvtMwocfkyM0Zxnxgoi5QcGUFOBIP3SZktKqxUnrYlkQ3+DYhSo4PsUv1pvvXtglRMhDNmMgYfH5tu0RmRmawPC5Hdoid2trH5AhtLwRSuG609EyWI9leA4hZVLrBl22FE+VQD7AFQh2zS2RrpYZIBTmFPcmxIXaZIVJZropD7GUydGRdECorMgafyaJzKJlFpVWKADmuxofYqXOGCTkEZ1McYqfOGQJRrhYO/8cc9fHIkeAqP66AtvEIk1NifSjB1ellJAkoXA0SetzZlGwh5HKK7ic+xC41ZyjLVcEmBIPl81gf4i3ZxDkFgFU86FyNJgmoc4aAvE2IJPQkE5Q2OYmTdNTJc4ZiSzaZq75NkPAZI76pdEJPJvCAIKcoocdeH+/0oM2cCnIInS5ikkD2PEMuh8ml6QIFV1SAI2XwCeXGeM9rOFgu4ZzZxeQDokPsUgafk8IfIi1aXMUhdhknEPANsT+ASm21AuQGywHfEAdyiu9HHGKXMfi6KEdyiN0ay1ZwZOWEukCXw65ddPAZkJ5FpRxgK8qxibvKAGLmrIRzRtj2Oj7EXmZOgWITgGj7pUyPdcQmFLTCAdFsrYxNYLIErpJmSdj1ZQbLE3IoSQJhiF0uGSHBodgQu+ycQnmbYEvZBIDW9hIfYpcdLAfC9SFXTmyIXaadVMYmxBN6Mlw1pLmaTBzK2oSiVjgmR0eZrD2XRTmXj18zaI+VmDPk16bahPgQu1Q7qaSfwK8fyJkLV2OJQ4mKlIzOxRN61shBpaKRdDVw1Ck2ocaTBLH1QWJ3UopNCLlavnpsE/wR4Gi4Kv53nhwqrpgAR9bgA8VfLhB96NZYJlsb/kwyxCkVHBmDDxQ7geyaQpRs0aNxIKo4MkPsMoODQPQ7omyhCrB7cSQNviGhC3FDzLO1FER1juaclTX4gRxie42YMSEbfAndjg+xT4gH2PL3psnMgth+GWSfJQw++5kgR+Cq1FyeNFc1gav0Nh5ZWVVhiF2Wq+L3ItPuIDNnyORIcDW+sYVFmzME5HQuzSaUsXGUJA6AiC7MwybEE3oTy5UYLBfkyCb0Aq7K2QQ6V/3AUMYm+C3ZANH2CEPsY99PIHNVUhd4Qk+mhRAouT5YrH1sKsNVGT8h0QIlUT0uxdVQjkzAFv5MlRMmwKh6YEj4CZoW5yp9zlB+HdIjNgGQa/MEqD5wOZvAW7KZHFqSn4orJsCZB/kAoNbQMR6F5UbTpCmFGGxRDGS9ocMayxtiTTDEFINfbzCnyXE8YfvUEkQveEu9wV47HruCc0YvPXMUfUf1JrvmeORJzXcAcgSsN7gcl+0kYtGdmWgQmv/aGpczvjxDXKRzpskGY60R1zm5TGAop/gZ1BtawKGpTLuQJFfrTR3jUdiWVMrgk+6HcdXzvHAur4QhpsiZTjzYtie1CQQgpwsNztVRyNV56EK9yf5ujVypnnFAkquCTfA8TypbK+UExrhqybStCnKK7LbhJwk4V2WqujKBIXA5XJWzCY1mKGcykZgzLMNVXw/KBgSU9b7eYEPs9syT2mxClAMQHHVhHZJp9wXkHHW+flsjNxwsn4MucJswHrkCV4/eJvBriuvDPJMEnKus06OMnOLX1wXflM98Udtjw5+L5dQaUa7S5wzl/QS+rpZdH6gBGxVXUIBTYkEmPIylroHDAweu68EaOVI943JyWJQ8sVzB4JNECU5TsZxO1wA84HDfkaoUReUUR8mdLmPOwZ4jFY0zOXQCLvlyDkU5pQx+/mdrdXToOnCw77ChSBmDLxGwVSoaGk0Nh3tOQPR5VNgA9uwO9thiLNsuFPxMMJBROfRdf2QNcadrYOBzlXqALVDOJkwnbIMOa0QfLGeyfDkkrrIHfTlcpbTCRblKbyEU5QB0roo2oUy2tkjnWi0dusHkyM4ZymRRTVNDs6XjwOcqy9bOJ3hf6uqXzVXq+lBKTsTGFb++0zUwOHRZhd/P2stztVjO0rKB2cyDNfak5gxFWZQW84BD+450ixpPgFFa4ZZ8m3Cw50jtFAnI6UKaTZiHLjSbOgyTybFnnuScIV0XDFNDq6PjYD9ch+jPTc5RX+oagZzxyJaaPQ5+Jq4PAVcn87MJS10Dw0PWISO1CYSkTVhaNmDPosG77PpA8Ueuvq5KuiYAEEzMYhD/cj3Pg2VZcF038mV4cHHzs9jP7c4Mo9Eo97obpx2YNeDwYIjOqodm1yt8D8C2j+VyGg2n8D3LPQc3PwsYDIboLLu45Q5gPB4XygGAm25nA8jVavFnay2x+59Ox6i32Ge07TGcUbEiXXeTi+mMGeS4HM/zoOs66vU6NE1jBlJjhotXP0plZggl+2pNw/6eg2aHvbGUwS/QZF1n97S/W8bZlHPUl1aYnMDgl2l1oBiuZQOPPzL1s5suqnVaRC0dvC8bePKxGaYTFrx3lggPoYSc7rIB1wUGB+5lZAKLX7+0wl60v+tgPGbfD8XgM1kagOLT6wGgK8iRDTz49091ajWfq83WPLmqo1ZnXG37DtQ85Gi6hqWugX3BCZynLhzsOnBsNr9UjqsEOcsGHvvxlLULybSoSSRxAMahJx+dYTJxMZm4aLVpXJVtle4uG/Bc4PDAmWtVd2k5yiHqnKEoi/L9iFytVCQrOAFXi1/bWTKg6Yyr7Q7n0NGvD7WajnqDcZXbu3kkdy+Hq7LdON1lA3s7Dmybbc9eLkFZ/PqlZQOPPDxhSfGxg5U1mpssaxO6ywaeeGQGy++SaTTn5yd4flKceo4UUM5PAEKuUsdORFnUqi4VV06AEyO5ZVmoVCowzehHdGoeNk+EGZZGM/9ma1UPFdNBo6FD1z3oGtBsFmuf54VyKlWt8D31ugddY8FArca2KaXIAYCNE9VgW9Oi93ieB7hOkHFuNj202rSvsbdZg2Oz6lKzmXyPbduwLAuNRgOmqaHd0bG/6wTOX6lsbYEuapqGrh8QrK1LGvwSi+XFc7Nwh48SmRmqIb74pI3RUK4tSaYVDmCL8iM/Ag73XWbw59D7DIQBAc8Grq3PxzlbigQEbiG3g2uXyGgBwP6eA2tMP99JlEVr49FhVhBk6UoZfMrZL4aG9hLjKv9c89KFrh8Q9DYvJ0lA4+r5J2aXNWdIDQguPDHDcMCd2vks/t0VA44DHB64mM3kzhQL5RS/PuCq72SsrM3XJnBnRkoPWI5Aiqus4kGfM2Sy2L/U9ppKVcPBnoNWiw2WU/QnIod4iGbH52qlwrk6v/XhYNfB5KQkVyXnpFgCbIrJWHbOUHJ9WDZw7vEZhoeSM8Gy68OKAdfhlXeJ+b8ScoCwIr68UiZBWfz6eKKN+tx4S7br0qu6PCku00IIhIlDynOTwRXTohZXItd1E8ENAIiJVkrSlRPUcQDPBTTiHYsZXZIcnSmD45/BQJUDABo0shxNYzt68PuhOkxMTnCR1L+bpgnXDbds7i4bAfmoO4kAoSGmtMIBzHANDpygv5Zs8EtkTKYTDwe79MFyoEQLlJ/J6F+0y8uRyG5eujCTk1MiYAOAvR3HHyyfTza93Q5bk2R2/ZGdjalU/dakXUdqsJxd38/WEvRA0zR0l1nwLjNHAohZYdp7lgSuUucMgZCrlFY4LufwwA161OkzRYJMYiA1m3rY35EMPEpUVgB5rsq0woly5LkqJ6crZFFLzy4R5LTaYWuSzJwhEF0fimBWWGvS/q4jNWcICBwiOIFiok1msDwiR5arE7adMGV2CQh1gdIKx+UMDl2Mh7It5uHPJJ1bYa1Jezt8Eyd5m2BKBNX9i5xDJfwESkBwFDZBsuIh1couaXuaLR1mhKvzSRKISXGZc6QAsfWb/BbadY/2cuURVyJqy0gRgoDAZidWy1xX9hMEgYfHKkWygqhvMQy2xaTryQVSFDni81laMTAeeRgc0vfQB+R6nwFmIF0X2L5kyxl8yZ1/uIHcukDfTQ+Qn1nprpgROeUyQMWv561Jwf2UGlwufga1Omt3uDTngC1od9i1pQw+k5WUmYfuCnMyZAbLAbm2FwBYWjH9vn5Jg88DD6Kc7ooBa+zh8IB+Ng27vpxz1l1h7Q79LVtqzlBW57iTEep2CeeMWFkR5cxjdgkIW5NkuSobGFZrOupNkatHP88IsHWCtybJc1VS54LgnT6nAIiBFD3wONx3MBrapSpFdK6amFgeDvboM1/i9am2R+Sq3Jzhorgqp3NxOWW4SpHTXmLzupdleyhcrepotHT0t2y5mWBJf0TTtKBtfjLx5rs+lOQq1wVqYo583SO92mWA+uXKVnAAFrXzc1aKWqaiwrgcYgRvaizwcEHuExbEkCMc3WSHzDm2R34G6QLzwQ3KzqVyBp+SLQHCTMbOJVuOfBEDKSdH0+dn8BtNDZWKhp1Ll2Mgi9/DW5MCOXOYXeJYWjYu736IcrorBna3HSmDz2TJGcilZQPDges7M/M1+K7DsnTzypxxOYDP1TJySnFVZnYp/JkUEAhyygyWMznF7+GtSaFul6kUFcthrUmGNFdlZ2MApguL4uretiM1ZyjKIuvcioHR0IU1nnPw7s8Abm9NpCpSZSo4wOVwtYQcCa7KtsLx1iSuc/RWdjk59QabAZw7V/153ZCr85EDHAVX6XL2dx2p8wxFWTJcHY88jEdy7aSGZPBOxZEGOJ/4xCfwu7/7u/i93/s9/Nmf/RmGwyH5vTJEl4WobLIVj4/857/CK175Mpw5cwYvf/nL8e1vfztHjvDWI66sROUIjr2u4Zd/+Zfxve99DwDwxje+Efv7+9jf38fHPvaxqBgt+m8RuIFkO6PMZ04BCFuTZHZgEeXoxFa4SkVDs63DdYFGwyhn8CUyJrzbr9xOU3KLMiCzjbe8IV4S5cypJzkuZ56VFZ65d116z3gZOREOlclySzozTI58YEjVN96aVNYm6Dot+WP6uyaxzVfkB8sBOle7K/I6J5tFBeJcnU/ABpTlqhYsQOW4WqY6KRe8l10fZG2C48i1kxqSTmB3mb2hrE2gPrdmi80Aui5dDwD5VjjDb01y3XJzhsB81wdZmwAgYhPKzf/R5JS5n2hL9ry5KqdzIlfnNdsqgyMNcO644w68//3vx5//+Z/j5MmT+PSnP01+L1WJZGdjgFhAIFHy+O53v40vf/kL+B//8H/h/vvvx3333YdTp05lvj7ioEp8T7IVnEggFXvPJz7xCXS7XRwcHODjH/94vrwC8NYk9nMJ54yorLw1ad5ygJCA9QZ9fw3ZGRwgdDirtZIGXyJjwjFvgx/IkRxSZHLkDKSMHKB8FhWQNPiSgUdnSQ+SHTLZZ5k5BSBsTQJkn5ucHN6aJC+nPFfLzEjJyAq5qksMlpewCREOzadtFSjHVVEWWc5TwdU5yuFHCTA5JarHRDkVvzVJXg58ObTXa5oWPLt52gSgHFfLVjwASM0Zys6xAXGdk0gScDnUykoJm8Bk+XIkE21Mzvx0YVFcJV/3KC/27Gc/G4b/JG6++Wbs7OyQ3yvz5QZOfZmAQOKOL/W3sLyyinq9BgBYXV3FiRMn8P3vfx+vfe1r8YpXvAKvf/3rcfHiRQDAf/tvn8TrfvXn8R9e+wr87//HW4Jtoj/72c/ipS99Kc6cOYNf+qVfAsB2iXv729+Ol73sZfjFX3olvvHPX4Omabjvvvvw5je/GW94wxvwghe8AO95z3uCz/POd74Tr3zlK/HSl74UH/zQf0q9n+c+97nY2dnBn/zJn+DRRx/Fy1/+crz73e/GW9/6VnzhC58Pntvv/M7v4POf/3zhMxAXfyrKlBs50ctViuhyuJPRIO5wJ8qJ/5yHrhDgUFHGOStl8EtWijjkAgL2L/U76iwbAa+ldE5SF+oNLfhuyvXb058131ZbKvt8GQFBGZ2TknMZXKVmNiNySiz8gLyj3mjQP5x4bVmuGgarUFFw+Vydny7wGUBg3lzVA47Oc46NtyYBchySORuLowxXLytJUGIegqpvQDmuynZGAJDe8jp+bXqVjXNVQ8peV6mQnZcDogHBPHUhylV5XaDKiSbF57s+UDC3baL/8R//Ec9//vMz/37//ffj/vvvBwC8973vxYkT65G/X7x4MdhF7fvfHGB/1w7+Npt5YFvK6WSHk7/HrOjQwAb97rirnfuee17wInzoQ3+Jl515MV784hfhNa95De6++27ce++9+Nu//Vv0ej185jOfwfve9z785V/+JX7hF34B/+E1r8ds5uIj/+U/BcHKBz7wAdx33304efIk9vf3YZomPvGJT0DXdXz5y1/Gd771r/j133wDvviP/w8Mw8APfvADfOELX0C1WsULXvAC/PZv/zZOnz6NP/zDP8TKygocx8Ev/uIv4YEH/g13/8wd/kYKBkzTDH6+99578cADD+CLX/wiAOBrX/saPvjBD+NFL3w5hsMBvvnNb+Kv//qvEzvV1Wo19Hq94L9PnNKwdX4Xa70Oer0u6Vk/2d4BMEG9UY1cKw+nrtrHow9fwvJqC73eGuk9e9sHAMao1kyynPE1Qzzw/51Hs0V/z2wyAjCEaWpYX18vfD0A6Jjgu/88QrtTI8upmlMAhwCAjY011OrFbO+0HXz9S2fRaFXIchzHA7APAOj1VrDaqxW+Z23Ng1kZwHOBEyd75PY+0zyEPXOwstpFr9civae7PML+7gynTvdQJzqd1doYwATdZbqe9tanOPfEGJsnVrFGeAYA0GjMANjodJpkPd084eBg7xDrG8vkZ9BsXQIwRbNVJ3+vJ09puHiOc3WZ9J5znV0AlhRXT1+9j0d+dAnLq03ye/Z3DgGMUa3SeTe5doh/+/55LC3Rn4E9HQMYQteB9Q0aVw1tgu98Y4SGhE2oVWcQuUrR06WOg699cSAlx3VDrq71ltHr1Qvf4615qFSHsG0XJ0+tS3F1NnWwvLKEXi9/beToroyxtzPFyVNraLZo7gTn6lK3TdbT3sYUTz42wsbmCukZACFX2x26nm6edLG/e4D1jS75GbQ4V5t0W3/ytI4LT+5gbY3O1fOcq3W6rT999QHOPrSF5ZUW+T0Hu4cARqhWDfJ7pteO8K/fOyfFVWfGuKppwPoGbU2pGFN8++uPod2m26t6LeTq+jpNT7tLLr76jwM0mgZ5zfc8gatrND311jxUawPMpi5OnZbgamWA6cSW4ury6hi721OcPNUjHy1Sq40BONJcfeJRWa7aAAZSXKVAOsB597vfjb29vcTvf/VXfxV33303AOBTn/oUDMPAC1/4wszrnDlzBmfOnAn+u9/vR/4+mUyCapDrur7ycHj+/7NTrinQNMDzEFzHdV3Ytp37nlarhf9+3//ED/71m/jnf/k63vKWt+Btb3sbfvjDH+JXfuVXgutsbGzAtm384Ac/wHvf+6fY3zuANRnhxS9+MWzbxl133YW3vvWt+Pmf/3m88pWvhG3b+Kd/+if8xm/8BmzbxvU33IBTp07jxz9+GI7j4J577kGz2QQA3HTTTXj00UexubmJT3/60/jkJz8Jx3Fw8eJFPPzjh/Ccu2+H53lwHAe2bQc/Ow7bXpXf48/8zM/gP/7H38f2dh9f/PL/jVe96lWRv4vPXfwuKrUpAGBmD9Hvz0jP2rIs/9nMEt9rFowK+xyOa5HfMxpO/Z8c8nugh9vbUt9zeMg+m6Yn9TQLrsPOG9J1m/ye8Sjcontvb4dckWk0NZimS5YjcungcA8uaEFEp6tjPHKxvb1Nej0Du6fB8AD9Pu3g21YH2N8DDg93MBjSnoHrsu9oPB6Q9bTRYp9tNN6H16dlSmyb6dxkMiY/72rD9t9zSH4G0wnj0Gw2IcsxA66O0O/n2zYOayzPVd2U5+qQc1WT56qn0T8b56puSHDVZVyt1+k2wRpHuWoS9ZRt2erRnwEQnBtzeLgPaAPSWzpdDaOBVoqrw9Eh+n2L9I5Wx8PeDjAY7mI0luOqZQ3Jetpo+SfLWwfo92nPgHN1OqVztVZntmMyGZCfwWRqBfLIXK0yOTNHhqsTAIDr0deUgKteGa5KrCmazweN/gxErlL11HPZ1tq6Qbcj/CwtANjf38FoTLP1rbaOesOQ4io/N+bwcB+aQeWqjsGBtxCu7m4Dw+EuxtYiuLpP5urMZrpN5WreqIgI6QDn3nvvzf37l770JXzrW9/Cu971riPb6vn2O5uR/z7Yc+C6HtpLBrnUP5t58FwNVVqiFgBbVwzDwL973vPwohe/ALfeeis+9rGP4eabb8ZnP/vZxOvf/va347/854/ixhufif/x2f+Or3/96wCAP/3TP8W3v/1tfOELX8DP/dzP4fOf/3wsYBMEAqhWq8GvdF2Hbdt47LHH8JGPfASf+9znsLy8jLe97XfhuFOp9qxffM1r8T8/9xn8r//1WfzFB/4T6T3rJyq45voq1tblZ1Zk216uu6mKzVPzlVNvaLjxmTVcd1MbAI18sjuJ8M9267PqkRI0VQ57P13WzbfVpbZXjB7gRX/fjbfWI44dBew7kjvA6xk31vxtdefbvnH1dVXU6w3UG8QsCcrpwqmrKxgcOJEZjEI5vO1F4ntd32Rc7W3Ml0NLy4yrJ04T94hGuVa4Wl3HTT9Vw4lTdDmyLRX8PbfeUcdVVy8BoAWgZVrhAMZVqZ08fVmuI3dPN9xSjyRMSHJKcrXdMaTOYyvF1WdU4Tggn/YOlNOFk1dXMJ1U0F0pMbskYRN6GyauvUGWq74cifvpdA1cd3NNiqtlvp9aXcfNt9WwcXK+XNV0Dbfe0UCrU263VRlZN91Wx1KnA2AiIctfVyV04YZbahgOJLlaYij/GTfU0GzR5wyBcrpw1TOqsGcemsSDugHAKKELFBzpDM53v/td/MM//AN+//d/H7WaRCQhCy3yDwmVikYuoXP8+OzDePTRs4GcH/zgB7jpppuws7ODb37zmwCA2WyGBx54AAAwGAxw8tQmzIoT2WDhkUcewZ133ol3vOMdWF1dxblz5/Dc5z43eM0jj/wY58+fw/XXXZ/5WQ4PD9FoNLC0tIRLly7hS1/6IttdKCOIbLVaGAyiDvxrX/sr+MR//T8BALfccgvpGVQqGp59d7PUjhgyTrqua7j9ziZabfmAQMpAahqeeUcDvQ1a6VS8viz5bri1jvUT8gsLdVc4jmuur+H0NdXiF4qySswvnThdwTNulON1GTlr6yZuvo3+/YhyZIx3p2vgZ+6ht9uJ15cLqnXccVdT6j2hzpHfAvNpwVW6HAC49VkNLK/N1wkEWEBw+hpa+yCT43OVuCscx9XXVXH6WjmultGFE6cruO6m+XN1tXc5XKW/p71k4Pafbkhylf0r66g//2c3pBILsrubAYyrd9zVLLmZAfktjKs/3UC7IzFfVpKrt9zewEoprsrJuf7mGjZlAil+fU1uBvvqZ1Rxwy0dqc9WZn3YPFXB9TfLclVeF1Z6Jm65vSEpx/9XhqsdA7ff2ZRMULJ/j3qb6COdwfnoRz8K27bx7ne/GwBrr3rLW95ylCIAyO86Vhaj0RDvfve7MBgeolIx8YxnPAPve9/78IY3vAHvete7cHBwAMdx8OY3vxm33HIL3vGOd+DVr341rrrqKtx6661BgPGe97wHZ8+ehed5uOeee3DbbbfhxhtvxDvf+U687GUvg6YZ+OP3/HmwmUEabrvtNtx+++14yUtegmuuuSZoB8zC6uoq7r77brz0pS/FS17yEtx7771YX1/H9dffiFf8+39/pM8pjnntiJGUw/6VyZZclpx538+ctkpMlWVogC2XrS2DwDk74gO84liYLizoO1qYnIVxdTF6YBwzPVikrMVxdUFySlRWykD2QNGyWNg6tDCuLlgPJBOHlytrnjCOmS7M66DPI6X+X/3VXx3l5bLBKzhzXlue9aw78Mn/+ulEK9zq6io+9alPJV7/pje9CW9605sSv/+bv/mbxO/q9To+8IEPAADGQ3bCLDTgda97HV73utcFrxO3euavj+Pv//7vg5+/8Y1vBD9/8IMfjLxuPB7jsUfP4ud/4TWp1zkqLMzgl9jt5XLkzNtoLco4irKOeteSLDlzd87mVOKOIwwI5ipmYbqwaDmL4+r85Wja/PnDZLF/j4syBYODAAAgAElEQVQuLC4gWND6sGCbsCibfVzWBt6SvbDEIbzF6dzCEjlzlmPwf6/gFrVFYf5qumB5fqQ2Tzlf+cpX8PKf+1m8/vW/jqXO0hwlHUPyBZnABRniOcsB2Hck2wpXVg5wfJyzRenC8cuiHi894LIWxlXJVriycoDFJaaOiy4cN5vAvx/zmOgBk7XAxKEWndGbmxwco8ThnHRhzi7onLCgCs6iWuGSAo8eL3rRi/DV//cbGI/cuT+3hbdUHJMMHbBYQ7zI9prFZVEXo3OLy24uSs7xaq+Zt75xGYvi6mIrRcdLF56uzlkcZWdjZDGvbPpTJYfLWMx6px2rVrjFcXU+cq7YCk7qLmOLxqICqUDOvCsE/Ifs1xzFcz92ztmCZ2MWaYjnL4f9e2yyqMdtNua4OWcL0gMuaxFcNRZoE4AFBu+Lmo1Z1PzfMbEJZTa1KINF6QGXtQibYBiLbIVb4PqwqG6cI5ZzxQY4fHvkNGga/9+cA4K5Xv2pk5clx7Zt6EdQW1147/OCyLeoLOpinKbFOWeLbIWbu3O28H77Y+acLaC9RtMWVAVdYAVnUTZB00OnZl5Y+MYWcx/4XnRVd0FJnEW1ZC8oIFjI+r0gm2D4rXAyu8KVwaLWh3l141yxLWr1eh2WZWEymSSco53+DBPLQ6Umt91mrVbDZELf03xv18bhgQuzWpmr0R8cONjdcaAZJiqV+WnseOigf8nB+qaROHnb8zzouo56XW7LzzQct2z6og3xQjJahgbDnH+VdNGtcMdl8TcWFrwvel7u+FRWFjmDsxiuLrqqezzWh8Wtdwu2CccoeD92coxFtcItel7uJyTA0TQNjUb6nt2PDyz0t2a48dZm6t+z0Ov1pE6lvXR+gsd/PMHNz2zOVZEG+zOc/eEIN9zUglmZnxx76uBH/3qIq69totmcn8Y2mjoMA2hLHMZVBmZFQ62uSR36VRatjj73+wHYM5M5X6QsWm0d9mz+hrjVMdCWPMSsDNodHY3m/B20VkeHWQFqEmfNlEGzrUPXgWZrvnLqDRZQtyTOySiDxXLVWBhX5/39AIyrlTmuC4Gcji51Xkp5OQbTu0Vw1QRqjfk+u2Zbh24ArWPCVcNksuYtB1gkV5nOzV+OvpBK0eK4qvt6N99n1+oYgd4dJTTvihh2Ac6dOzd3GbIBjsLxhdIFBUDpgUIIpQsKgNIDhRBKF65MnDp1ivS6K3YGR0FBQUFBQUFBQUFBQRYqwFFQUFBQUFBQUFBQODa4YlrUFBQUFBQUFBQUFBQULhdXRAXnIx/5yELk/NZv/dZC5CzqfhYlZ5GylC4oOYuUc9z0YJGyjpuc46YLSk45LEoPgOP37I6bHGUTrmw5RbgiApznPOc5C5HTbMrtulYWi7qfRclZpCylC0rOIuUcNz1YpKzjJue46YKSUw6L0gPg+D274yZH2YQrW04RrogA56677lqInFartRA5i7qfRclZpCylC0rOIuUcNz1YpKzjJue46YKSUw6L0gPg+D274yZH2YQrW04RjD/6oz/6o6f6QywS119//VP9ERSuEChdUACUHiiEULqgACg9UAihdOHpC7XJgIKCgoKCgoKCgoLCscEV0aKmoKCgoKCgoKCgoKBwFFABjoKCgoKCgoKCgoLCsYEKcBQUFBQUFBQUFBQUjg1UgKOgoKCgoKCgoKCgcGygAhwFBQUFBQUFBQUFhWMDFeAoKCgoKCgoKCgoKBwbqABHQUFBQUFBQUFBQeHYQAU4CgoKCgoKCgoKCgrHBirAUVBQUFBQUFBQUFA4NlABjoKCgoKCgoKCgoLCsYEKcBQUFBQUFBQUFBQUjg1UgKOgoKCgoKCgoKCgcGxgPtUfgOPcuXNzl9Hr9dDv9+cuR+HKh9IFBUDpgUIIpQsKgNIDhRBKF65MnDp1ivQ6VcFRUFBQUFBQUFBQUDg2UAGOgoKCgoKCwrHCYDDAV7/6VQyHw6f6oygoKDwFUAGOgoKCgoKCwrHCd77zHXzrW9/CJz/5STz88MNP9cdRUFBYMFSAo6CgoKCgoHBs4HkeHnzwQZw4cQKdTgef+9zncOHChaf6YykoKCwQKsBRUFBQUFBQODY4d+4chsMhnv3sZ+OVr3wlAGB3d/cp/lQKCgqLxBWzi5qCgoKCgoKCwuXiwQcfhGmauO666+B5HgBgPB4/xZ9KQUFhkVABjoKCgoKCgsKxgOu6eOihh3DdddehWq3C8zzoug7Lsp7qj6agoLBAHHmA0+/38cEPfhB7e3vQNA1nzpzBq171qqMWo6CgoKCgoKAQweOPPw7LsnDzzTcDADRNQ71eVxUcBYWfMBx5gGMYBt74xjfi+uuvx3g8xjvf+U7ccccduOqqq45alIKCgoKCgoJCgEcffRSmaeLaa68Nflev11UFR0HhJwxHvsnAysoKrr/+egBAo9HA6dOnsbOzc9RiFBQUFBQUFBQi2NnZwcrKCkwzzN+qCo6Cwk8e5jqDs7W1hbNnz+LGG29M/O3+++/H/fffDwB473vfi16vN8+PAgAwTXMhchSufChdUACUHiiEULpwPHBwcICrr7468l0uLy+j3++Tvl+lBwocShee3phbgGNZFt7//vfj13/919FsNhN/P3PmDM6cORP8d7/fn9dHCdDr9RYiR+HKh9IFBUDpgUIIpQtPf9i2jb29Pdxyyy2R71LTNAwGA9L3q/RAgUPpwpWJU6dOkV43l3NwbNvG+9//frzwhS/Ec5/73HmIkIbjOKoHV0FBQUFB4Zhif38fAKvYiGg0GrAsK9gyWkFB4fjjyAMcz/Pw4Q9/GKdPn8arX/3qo758aXzzm9/Ehz70IWXgFBQUFBQUjiH4YZ4rKyuR39frdbiui+l0+lR8LAUFhacAR96i9sADD+ArX/kKrrnmGrzjHe8AAPzar/0a7rzzzqMWJYV+v4+9vT1YloVGo/GUfhYFBQUFBQWFowUPcNIqOAA77LNWqy38cykoKCweRx7g3Hrrrfi7v/u7o77sZWMwGABgJWwV4CgoKCgoKBwv7O3todVqoVqtRn5fr9cBQLWpKyj8BGEuMzhXIg4PDwEwA6igoHDlwLZtuK77VH8MBQWFpzl2d3cT7WnA8QlwVIu9ggIdPxEBjuM4GI1GAFSAo6BwpeG+++7Dxz/+cfzwhz9Ugc4xg+u6+N73vgfbtp/qj6JwzOF5XmaAI7aoPV0xGAzw4Q9/GI899thT/VEUFJ4W+IkIcIbDYfAz32XlSoLneUELnYLCTxImkwm2t7cxHo/x+c9/Hp/73OdUlvIY4YknnsCXv/xlPP7440/1R1E45rAsC5PJJDF/AxyPCs5jjz2G2Wz2/7P3XtFtXVf6+HfRO4jK3jvVLFGSLcuyZVmSI9uhi+JEaTNxslJmzZo1a17nfdaat7wlM1nx/FxS7CiKZUtWl6xeqMIiFrEIrCBY0Xv9P/B/ju4FQBAgAVKU+b0kplAu7j1nn/3t/e29MTQ0tNqXso51rAl8KwgOkafx+fynMoMzMDCAjz76iGaZ1rGObwusVisA4ODBg3j++ecxNDQEk8m0yle1jmzB6XQCmCey61hHLrFQBzUAEIvFYBhmTRGcaDTK2TdmsxkAYLFYVuuS1rGONYVvBcEh2ZGSkpKnMoMzNzeHaDRKDfQ61vFtAVnzOp0O27dvh1arxbVr1xAOh3Hr1i189NFHa1pW8m0HsbfrBGcdfr+fBhtzgYU6qAHzgz4lEsmasiXt7e346KOP6N4ZHx8HAMzMzCAUCq3mpa1jlTExMYEHDx6s9mU89fhWEZzKykr4/f6EKE5HR8eqEh9i9J9G8rWOdeQSVqsVPB4PKpUKfD4fL7/8MpxOJ/70pz/h7t27cDqdz6S86fHjxzS78SxjPYOzDoKLFy/i+PHjWf/cBw8e4Pbt2xgfH6e2JBkkEsmayuBMTEwgEAhgYGAATqcTLpcL5eXliMVimJqaWu3LW8cqoqurC9evX19X/SyCbwXBcblcEIlEKCwsBMAlEn6/H1euXEFPT89qXR6nhXWusV7EvTIIh8O4fv36ul56EVitVmg0GvB486aorKwMVVVVcLlc2LNnD0QiEY1cPisIhUI4deoUbty4sdqXknMQm5atAYtzc3MYGRnJymetY+UQjUYxPj4Om82WQDLC4TAuXLiwJPl4MBjEjRs30Nrair6+PqjVampL4rHWMjizs7MAgJ6eHipP2759O4B1mdq3HcRnXLeFqfGtIDhutxsKhQI6nQ4At5MaMXi5TJ0vhpXK4MzMzOB3v/tdzuuQvF4vPvzww29tlMnn8+H48eN48OABrl27tl40nwLJuh69/vrr+MlPfoKtW7eiuLj4mcvgzM3NIRaLYWho6JmXmmQ7g3Pp0iVcuHAhK5+1jpXD3NwcXQMzMzOcfxseHkZPTw8eP36c8edOTEwgFovhwIEDeOWVV/Dyyy8v+FqpVLpmMjiBQABOpxNyuRyTk5Po6uqCRCJBUVERtFrtOsF5StHf34+Ojo6cfw8hOMPDwzn/rrWMbwXBcblcUCqV1JF6mggOu4PaShCcaDSK6enpnH7P7OwsPB4PJicnc/o9TyPC4TCOHTuGyclJ1NfXw263Y2JiYrUv66lEOByG0+mEVqvl/F0oFNK9SurmVjMAkW2QyGw4HM44wxeLxTA3N4epqam0Wi+Pj4/TRg4rjUAgQB3KbBAct9sNi8UCr9e7noleYyAZCAAJ5w8hNktZp2azGTweDzU1NdiyZQvKy8sXfO1akqgRG/HCCy+AYRhYLBYUFxeDYRgUFhbCYrHkLHAWi8Vw9+7dFbEb3d3dOfdHVgqxWAzXr1/HjRs3ctoWn+0zjo6OrtvCFPhWEBySwREKhVAoFBwisdoEx+fzIRKJgGGYnBMc0i47199DNl+m93RwcHDNHEALYXR0FFarFQcPHsS+ffsgFAqXJX/0+/0rksHwer1obW1dUWNpt9sRi8USCA4bJSUlAPBMydRmZ2chFAohk8kwMDDA+Te/379gJPvu3bv4f//v/+HPf/4zPv/8c/zP//wPvvjiiwX3WTQaxddff407d+5k/TekA3aNUTYIzuDgIID5A34tSY2Swe12LxoACofDz0z212w2Q6VSQalUchzaSCRCo9BLabJjNpuRn58PoVC46GulUil8Pt+auKeE4JSXl1PSRmxhYWEhAoFAzgiIz+fDrVu30NXVlZPPJ/B6vbh06RLu37+f0+9ZKUxNTcHtdiMcDudUOhYIBBAOh+k6+DYGktPFmiQ4Q0NDaacBw+EwfD4flEolgPkOK8kyOG63e1UMHyED+fn5tI9/JBLBsWPHst4ud6UIDnG4MpntY7VacerUKRw/fnxNFyQPDg5CLBajuroaQqEQ9fX1GBgYWPJvam9vxxdffJHzYsK+vj7cvn2bHqwrAXJApyI4er0eEokkpwQnGo3i0aNHaG9vx4MHD3LuPM/OzkKv16O2thbDw8Oc+pQHDx7g66+/TiD6sVgMd+7cgVQqxb59+3Do0CFs3boVU1NT+Otf/5r0QCWyoNUqRCUERyqVJl3/XV1duHfvXtqfRwgOwJ1tthZx8+ZNHD9+nJ45sViME5WPxWL47LPPcPPmzZxfCzl32LDZbBgYGEBHRwcikciyPj8Wi8FsNqO4uBhGo5EjUSOF9EqlElarlXMGx2Ix9Pb2or29PennBoNBTE1Nobi4OK3rkEgkiEaja0IWOjMzA4lEArlcjk2bNoHH46GsrAwAUFRUBCB3dThk3+b6LHj8+DHNSD8LGBwcBI/Hg0gkWpLcMl0Qv6qpqQkMw6zX+abAmiQ4JpMJd+/eTeu1ZDEoFAoAiQSHOBLRaHRVHAFCBoiRdjqdmJqagtlsxq1bt7JKup5mgkMOvenpaZw4cWJNHELxCIfDMJlMqKqqAp/PBzBvhMLhcEKkPl2QtZprmRuJnq7knCir1QqGYZK2dSVgGAbFxcVZJThut5tzqA4ODuLcuXO4evUqrl+/ju7u7qx9VzxisRiH4EQiEU4gg/zOeAfe7XYjGo1i48aN2LhxI2pra7F792784Ac/gEwmw4kTJxLsF1kzq0VwiJ0xGo0JDnQ4HKbF4enIOTweDyYmJmg0ezm/yev14sSJE6s6XHliYgLBYJDeI7PZjKNHj1I7MTMzA6vVuiLO39dff41z587R/+7r68Onn36K06dPZ2VIq9Vqhd/vpwTHbrfT9fD48WMIBAJs3rwZwWCQPle3242vvvoK58+fx9WrV5N2HCSEMBOCAzypkbx9+/ayflcuMTs7C4PBAIZhUFlZiV/+8pdUtqtWqyGRSHJW48omOLkM+pK1brPZcirpWgnEYjEMDg6itLQUVVVVGBoaWnZgYCEQu6XValFUVLTeaCAF1iTBySTVHE9w1Go1J2LFjtauhkyNXB8x0g6Hg+qVs90xaKVqfZYiUZudnQWPx8PBgwcxMTGRUWT3acHY2BiCwSBqa2vp3/Lz86HT6ZbsNLMdoFyCZFNWmuCoVCoIBIKUryspKYHL5VryurVardRxcjqd+Pzzz3H06FF6qA4NDUEikeCXv/wllEplQhH0UuB2u9HR0YF79+5x7JTb7UYwGIRer0dhYSEUCgU96EOhEJXvxDvwxOmIb4Gr0Wiwb98+RKPRBIeHrJnVzOCIRCKoVKoEgjM4OEilFumQd5K92bJlC4DMMjg2m41DIgcHBzE0NITR0dG0PyOb8Hq9CVFyEo1/9OgRvUby2lwiGo1icnKSQ6Smp6fB5/Px9ttvA1j+eUFIe3FxMQwGA4B5AheLxWAymVBWVkb/TuzQ6dOnYTab8fzzzwNAUpkvqb8h3VEXAyE4fX19GB0dRX9//7J+V64QjUYxNzcHvV5P/yYWi+n/ZxgGBoMhK3YqGcja9Pv9OQsCeL1emM1maDQaxGKxNT8DcGZmBk6nEzU1NaiurkYgEMjZmc32acvLyzE7O7vmJbu5wpolOLFYLC3ZD3GyiUSNOAjk708DwWEbaUJwNBoN5HI52trasvZdxCkgOtFcgdxHj8eTdk3HzMwMdDodGhoaYDQa16SudGBgAGKxGKWlpfRvDMOgqakJU1NTS4rGrhTBIQdMOgeN3W7H3bt3l51lS9ZBLRmIJGMpEctoNIrPP/8cn3zyCe7fv4/jx4/D5/MhGAxieHgYkUgEIyMjqKiogFQqhcFgWJY0w+124+uvv8b//d//4cqVK7h58ybHgSefrdfrwTAMamtrMTIygkAgAIvFQvdLugQHAO0Oyb7uWCxGv5fIXlcaTqcTKpUKIpEIwWCQQ/S6urqgUqnA4/HSIhqDg4PQarW0DiETgnPv3j2cOnWKZuvJ9yVb6319fbhy5UpOszts28bOXAPzbV+9Xi+VuOSa4NhsNkQiEbhcLrpGHA4H1Go1ysrKwOfzl30ums1mKBQKqFQqGI1GAPO/d3x8HG63G9XV1VSmStpIWywWNDc34/nnn0dZWRl6enoSzpLx8XEYjUaIRKK0rkMqlQIArfmw2+1PpWNIngkhfclgMBgwNze3pH1tMpk4cs94sJ93JrbQZDKlHSAzmUyIxWKUwGZDDhcOhzE4OJgy8E2602Ubg4ODYBgGVVVVKCsrg0AgyJlMze12g2EYyOVyqn7Ile9qsVhw4cKFNVG3lgxrluAA6Rn/+AwO+V/yd5/PB7VaDSC7i8RiseAvf/nLop/pcrmgUCggFoshkUhgs9lgsVhQWlqK5557DmNjY1npMhKLxeD1eunvJ5v89u3bWW01SDp8CASCtGV/sVgMMzMz1KDrdLpV6/y0VCSTpxE0NDSAx+NlnMUhXagkEglmZ2dzVpvk9/vpQZ/OAdXW1oZbt27h2LFjS94zoVAINpstZf0NATHiS4kkezwehEIhCIVC3LhxA263G++++y5kMhn6+vowNjYGv9+PyspKAPPEw263L4m8DQ4O4k9/+hOGh4exY8cOHDlyBBKJhDNxmhzk5HfX1tYiGo3i8ePHHBle/L4hv50EatgQi8VQqVQcJ8Fut8Pr9dI9tRqOHHGUxWIxotEoDapYrVZMTExg06ZNKC4uXjRL7fF4YDabUVNTA4FAALFYnHEGJxqNwmQyIRKJ0PuczMY8fPgQHR0d+OSTT3I2KdxisdCBlOSZTU9PQ6/X01orm80GiUQCr9ebU+eCEKxYLMYZV6BWq8EwDFQq1bIcws7OTgwODqKyshIMw0Amk0GhUGBoaAhnz56FSqVCVVUV5HI5hEIhrFYrlcSRmpMNGzbA7XZziDDJdqYrTwOeZHBCoRDq6uoAPJ3zZNhBkIVgMBgQiUSWlPm4c+dOytoup9NJbW66WSKv14uTJ0/i73//e8I1TU5O4urVqxyCOjAwgLy8PNTU1IDP52eF4PT29uLUqVMLyplDoRCOHTuGv//971ndU6FQCH19fSgpKYFUKoVQKER5eTklcdmG2+2GTCYDj8eDXC4HsLxASCwWw9WrV5Nm0nt7e9HT05N11Y/dbl8R+e2aJDgymQxAeoe22+2GWCymXVYWIjhCoTBrUTuv14tTp05hdnZ20UYBpIU1MC+fM5lMCIVCKC4uxsaNGyEUCtHZ2bnsa/L5fIhGozQa7nA4aOes8+fPZ815DgQCCIVCKCgoAJBeHY7H44HP5+MQHPK3tYKBgYEEeRqBVCpFVVUVHj16lFHmjBiV+vp6ALk7jMmBpFQqaWezVJiamoJKpYLNZsPnn3+ecbbN6XTi6NGjiEajKdu6EgiFQsjl8iXJ54hztn//frS0tODw4cMoLi6mBf6dnZ2cAl6DwbDkwtdr165BqVTixz/+MXbt2gWj0YjNmzdjaGiI3uPZ2VmoVCoqOcnPz4dKpcLAwADtCMXj8ZJmcBQKxYJyvnjJCjmsyHpcKZlaLBZDJBJBLBajGRzyW4mN6e7uBo/HQ2NjI8rLyzE3N5eSKJNIKPktcrk8o99D1s3g4CCmpqYQDAYhEomSEhy3243S0lIUFhbi+vXrtAEEmVuUbsQ81WDTyclJGAwGFBQUYHZ2Fl6vFy6XCw0NDdDr9Xj48CGA+fq9aDSa06Yr7DXjcDjocyNBP6VSmTHB8Xq9GBsbw/Xr13H58mVUVlZiz5499N+NRiPMZjMikQhaWlogFovBMAy0Wi1sNhvGxsYgFApptqeyshISiYQjUyPZTpLRSwckMCqXy/Hqq6+Cx+M9lQRnZmYGPB4vZXabLfXLBLFYDA6HA3a7fcE16nQ6odPpoFar0yYehHyGQiFOZ8dAIIBTp06hvb2d+kJutxvj4+OoqakBj8eDVqvNirNLiHGygG0sFsPly5cxOzsLt9u9JGIYCoXw6NEj9PX1YXh4mBK227dvw+Vy0SGsAFBRUQGPx5PUxlgslmURBhIUB0AJznKargQCAbS3t1N5LBskuJ5NOWQwGMQ//vEPfP755zmflbgmCQ4xVOk4wGwCATwhR8Tx9vv9kEqlUCqVWcngRKNRnDlzBoFAIK3uT6SFNfCkPgiY1yuLxWJUVlZieHg4wemMRqMZyZbIBkhW6+Pz+bJW80LuIZHcpXNP4yNWJLqdqyyOx+PJqkQvFArh5s2bMBqNCzrsGzZsgN/vz6jjCXHM6urqwOPxciZTI/e5srKSM7skGcLhMGZnZ1FbW4vvf//7EAgEOHbsWFLjmAwejwefffYZnE4nWlpaOHK+VFCr1Us6FIhzplarUVFRgfz8fADz9zQSieD+/ft0rwFP1mCmEcVYLAaPx4PKykpO04TNmzeDz+fTTlCkwQABkamNjo5iamoKJSUlkMlkCbaNkIWFEJ95MpvNkEqlNKCxEgSH2L6PPvoIY2NjiEQiNIMDgFNYXlFRAZlMRvdLKpna4OAgNBoNtQtyuTztYJTf74ff74dIJMLo6CgGBgbAMAwaGxvhdDo5diAajcLtdlNiCjzZG6T5SW9v76LfOTExgf/93/9N6rSRWqmCggLo9Xq4XC7qmBmNRjQ0NAAACgoKqIOfy45xMzMz1EkiQa9QKEQJTqYZHIfDgQ8//BBffPEFHjx4gIaGBrzxxhscYl5UVAQej4c33niDk8HVaDSwWq0YHR1FSUkJzYQLBAI0NDTAZDLRfTE+Pk5nwqQLsVgMvV6PXbt2QSwWw2AwZIXgENKQrWj92NgYDAZDghKAjby8PAgEgowdT7/fT4lNsvXJDkzo9fq0P39kZARSqRSHDx9GMBjE3/72N0xMTODatWvweDyQSCQ0UEsyoxs2bAAwb7sWs7exWAyXLl1a0E7EYjHqa8WfsdFoFG1tbejt7aX7aylNa3p7e3Hu3DmcPXsWX331FY4dO4b+/n60t7dj48aNnLOM/P/47wkGgzh27Bg+/fRTXLx4cUl7m+0zEn92OTaC7O94fysSidDnkk2Cc/fuXbjdbohEInz11Vc5kQwSPNMEh0SS2EaQz+dDJpNxMjjZJDgPHz7E+Pg4Xn31VVRWVsJsNicYPpfLBafTSQ9UdgYHmHfwycItLy+H1+tNWGDd3d04duxY2o4Y2QB6vR5CoZASHNLKuK2tbckF5na7nRZKk/tK7nk6jgj5bcTxIzUFuUhhejwefPzxx7h69WrCv0Wj0SVttra2Nng8HuzZswcMwyR9TWlpKRQKRUYyNeLQ63Q65Ofn54zg2Gw28Pl8msVItQ7m5uYQjUZhNBqh0+nwgx/8AAUFBTh37lxaDTHMZjP8fj9aWlpQUVGR9jUuleCQ95ADgaCgoAAqlQqxWIzK0wDQmhGyJoPBYFoRdJIhJc4igUwmQ0NDA3p6enD27FnY7fYE6UltbS1isRii0SiKi4shk8kSDiwiG1oI5DPJnpmYmEBRUVFG2e7lIBaL4cqVKzST+dVXXwEAJ4ND6nDcbjeNTmu1Wsjl8gXXDilGrq2tpXsrkwwOWcubNm1CNBrFw4cPkZ+fj8LCwoTiZjJAVKFQJBBdEmlMp15odHQUsVgs6W+anZ2lMyzId+qBeJ8AACAASURBVJDMhMFgQH19PQQCAerq6uizW+y3kgGDbPtAspMEfr8fbW1tHJkQkQZXVFSAz+fD4XDQ/cImOGyneDHYbDbEYjG8+uqr+NnPfoaDBw8mOOpbtmzBBx98kBDc0Gq18Hg8cDqd1BYR1NfXIxqN0ui82WzOqP4GAHg8Hn70ox+hqakJwDzRmpqaWnZ92tTUFD7++GN88803y/6smZkZzMzMUEd8IfB4vIwICAHbhiZ7L5nLp1KpYDAY4HA4Fn320WgUIyMjKC8vh9FoxOHDh2ngq6enB9u3b8e2bdswPj6OsbExdHV1ob6+nq4xnU4Hr9ebcp27XC50dXXhxIkTScnJ3Nwc/H4/8vPzYbfb6b7u7+/Hn/70J1y/fh0VFRXYv38/FArFkgiO3W6HUCjET37yExw4cABzc3M4c+YM5HI5du/ezXmtSqWCSqVK+B4ybL24uBi9vb04e/ZsxtfB9hmJZDcde2i325MGIonPMzc3x/FVyVlPrjsbmJubQ1tbG5qamvDee+8hGo3iyy+/zFmWek0TnMUeand3NyKRCO28Q6BQKGgUPxQKZZXgPHr0CHq9Ho2NjSgpKYHf708gISdOnMA//vEPOnuHncEBwNEVkwhn/GFJigTTXXjsWiTiLI6Pj6OoqAgvvfQS+Hw+bt26lfHvJS03T58+DZ/PR++hXq+HQCBI657OzMxwHCGFQgGRSESdtXA4nPRZR6NRnDx5MqMWyu3t7QiHw0mHmLW2tuKjjz5KK0pL4PF4cP/+fVRXV6fUg/N4PNTX12NsbCzt7JHD4YBUKoVIJEJRURGmp6dz0j7barVCo9FQpzMVwSFyNCJBlEqlePvtt8Hj8dI6NMgBm6qANhnUajWtp8kEC0m7GIahOnw2wWEYhkYUY7EYjh8/jq+//nrR7yGEJJ7gAMDOnTtRWlqKiYkJMAyTIKsxGAzIy8ujEWmZTMZZ7+FwGB6PJ2UGhy1ZmZ6ehtPpRGlpadpO8nLR1taGhw8form5GUeOHKE2Ol6iRoggsXkMw6C8vBwjIyNJCSyZlVFTU0P/JpfL4fF40oqYk7Xc0NAAhUJBZZHsonYCctCTgnhSEwI8sbPj4+OLfi/ZI8nsEnv/kGc2NjYGjUYDsVgMuVyOn/3sZ9iyZUvaz85kMuHBgwc4ffo0/H4/7HY7Tp8+jcuXL9P7d/78eVy7do1DgtxuNwKBAAwGAz0TkhEcIP36VHLOVFRULLhe+Xx+0n3ClmTFkx+j0QiFQoHHjx8jFArRbOdyUFhYiEgksmznjez9rq4ufPXVV8ty1np6euhZsRiILDXVeozFYpw5bIsRHHYzk/igyUKYmZmB3++nvorBYMCRI0dQW1uL0tJS7Ny5Exs2bACfz8fXX3+NcDiMHTt20Pen8z1kHwsEApw4cQL9/f2cs4CcPS+99BKAeYI/NjaGM2fOQCAQ4NChQ3jrrbfA4/FQUlKS1j5Odg1qtRparRaNjY344Q9/iPr6enznO9/hdLkjSPY9JFDy+uuvY+fOnRgfH18wqGqz2fDxxx/j7Nmz1IckJQDsgF2ygFgyPHjwAOfOnUs438n3x89MI+uDSGmzgWvXrkEoFOLFF1+EVqvFm2++ieLi4kU7qS4VOSE47e3t+Pd//3f827/9G44fP571z+fz+RCLxSmjkpFIBJ2dnSgrK0soZFYoFHC73fT9hOD4fD6O8zk1NZXRoDWHw4GpqSlqnJJNYZ+dncXs7CycTidaW1sBPCkcJgaebbhlMhkMBgOH4Ph8vpSFsslANoBMJoNarcbU1BSsViuKi4shl8vR1NQEk8mUdqQOeCJJIRvEbDbD5XKBx+NBJpNBqVQumMGxWq148OABlTyxHV6GYaDT6ajBu3z5Mj7++OME3azdbofJZEpb9hUIBPDw4UOIRCLMzs5y7l0sFkNPTw8YhsH58+eTtiVNhtbWVkQikYQITjKQIuJ0MxHsqH15eTmi0SiuXbuW9cJF0s1MpVKBYZiUBGd6ehpSqZRjYAUCAbRabVqOgsPhgEwmS2vyOBtE9pVphi2VtGvHjh34xS9+kZAZIQRnZGQEk5OTmJiYWJRYpSI4SqUSLS0t+OCDD/Cv//qvCY4ZwzB44YUX0NzcDLFYnEBwiHOZiuAolUq6rjs6OmhmVigUQiAQcD4vEAjg/v37OHnyZEb7fSHEYjF0dHSgtLQUL774IjQaDQ4fPozdu3dTx518b3zTFwBobm4Gj8fDl19+mWDTBwcHkZeXR7O6wLwNi0ajKaWUBHa7HQzDQK1WU5JUVlZGCSXbBpC1JZfLaU0IW6LB4/Hg9/tTrvNYLEadmImJiYS9arFYqG2UyWSUCBI5Gvl9pCAfeEJwRkZGcPHixYTvu3//PmQyGfx+Py5fvowLFy5QG3rx4kXcvn2b2ki27SH6+mQEh5xJ5H/j993Y2FjS+lLyfMm1ZwK2BDG+/oR0qBoZGcHo6CiNgi8HRGWw3BljZA/t2LEDZrM5adepvr4+nDlzJuXnhMNh9PX1obq6mjZESAWDwYBgMJjSJvb19eH06dO0ros834WcVjbBSbfOh/gmbFIqFovxne98B++++y74fD6kUinq6uoQDAZRV1fHeb7pKDbImfTOO+9ALpfjzJkz+MMf/oArV64gFothbGwMarUaxcXF0Gq1GBgYwMWLF6FWq/H++++jtrYWPN68u0sCz5kqROKz6Gq1Gq+//jqVAcejpKQEgUCAc/+mpqbo3idZur6+voT3BgIBnDx5Ej6fDyaTCX/5y1/Q0dGR1H6SgM9iIPs9PovDXj9sezg9PQ2RSISamhp4PJ60g2RWqxWXL19OsOUejwejo6PYunUrtQ8lJSXYt29fSjnmcpB1ghONRvHhhx/iP//zP/Hb3/4WN27cyMkUcjILZyE8fvwYHo8nIXsDPNFwxxMcgBup6uzsxL1799LWe5O++qQYVqlUQq1Wc35/X18fjRITJ5os1oKCArzzzjucaCUwHw2zWCw0CjM0NIRYLAahUJj2JvV4PJBKpeDz+VCr1fS3E2erpqYGkUgko45qra2tGBsbw759+yAUCjE2Nga32w25XA4ejweFQpE08udwOPDFF1/g+vXrOHbsGOx2e0JEnxCcQCBAozWnT5/mENBMh1N2dXUhGAzi4MGDAMBp4zgxMQG3241XX30VZWVluHDhwqL31m63o7u7Gxs3bkw5rJKAHODpPjO2QS0pKcH27dvR1dWFO3fuwG63Y2RkhOPkTU9PJzWWbBw/fhw3btyg/x0Oh+F0OqHRaOjaSFWAOTk5ifz8/AQpntFoxPT09KLkazGp1UIg7yHP+uzZs2l1uUpFcEi3m3gYDAaEQiFcvnwZPB6PzgpJhWQHTzIsJGGsq6vDiy++CCBxzld8VH2hz9Xr9RgfH0dfXx8aGxtp8TabMI2NjeH//u//cOPGDZhMpqxE5hwOB1wuF6qrq+nvy8vLQ3NzMxiGoTKiQCCQlAhqNBp897vfhcvlwsmTJ6ksIhwOY3x8nPO57PfGH7jJWtLb7XYolUoIBAJs3boVu3btQkFBAQQCAVQqVVKCQ54hsUFEi07seiqZmsPhQCAQQGFhIfx+P+fzo9EoRkdHUVxcDIZh6DMDQGvD2BCLxZyGE319feju7uZkCCYmJjA5OYkdO3Zg+/bt6O/vx8TEBF555RUcOnQIoVAId+/epTI0tq1kS4PVajWcTiccDge9X8ATUh3vRN+6dStp8I/Y/6U4LGq1mkplk+2T6upqRCIR3L59GwzDLOhYpgu5XA6VSrXsOhxCcLZs2YIXX3wRjx8/5igEYrEYbt++jf7+/pSZsKGhIfj9fiqhWwyLERCfz4dr164BeJI5cDgckMvllODE7xnynJVKJe3uupg0emRkBPn5+YuS2q1bt0Kj0WDnzp2cvxOin8oW2e12CAQCGI1G/PjHP8a7776LmpoadHR0oL29HWazmfoylZWVmJychNPpxGuvvZYQTEsWeF4M8c030kGy75mamqLBDJVKhaKiIjx69IhzbpKMq91ux5tvvokPPvgARUVFuHv3boKNAtKT7LLraeK/z+l00mcXT3AMBkPGDS2uXr2Kzs5OHD16lGNvSJCluro6rc/JBrJOcAYHB1FQUID8/HwIBAK8+OKLuHv3bra/JiXBCQQCuHfvHi0sjodCoUAgEKDGZiGCQ4xCum2a+/v7UVhYyHGoSkpKYDabEY1GEYvF0N/fj/LycppKBZ5EyRiGSWrcy8vLEYvF6ME6ODgIpVKJysrKjAgOcQzIJmV3qikqKoJcLqe1NIshFAqhvb0d1dXV2LhxI4qKijA+Ps5p6kAyZWx4vV58+eWXCIfD2LNnD91Q8XUJOp2OdvcIh8PYuXMnZmdncf36dfoasnkWy4iQ4v729nY6abikpIRDcPr6+qj2/cCBAwASixXjcefOHfB4PE66PRU0Gg0Yhkmrg0s4HIbb7eYY1F27dqGxsRGtra345JNP8OWXX+LOnTv031tbW3HhwoUFJXA2mw2jo6O4f/8+jb6SrmmEfOXl5dH7ajabMTw8TF8TDAZhs9mSOmMGgyGtwXDLJTgOhwN+v58O60uFSCQCt9udMvORDGQtOp1O7Nq1CwzDLHrIszOkywXJUBBHNtUMHDYMBgNtiUyK5AGurezr66MDdYH0auQWAznAF5IMsTM4C2W6ioqK8Morr8BisVC7S9ZdfPAjWecgt9uNP/zhDwkBGiIrAebt7I4dO6h91Wq1CQSHnTnR6XTw+XzUfldUVECn09GmAAQ9PT20po8Q4W3btgHgZgfGxsbg8/moNBJ44qSyMzgEZNYFcV6I3WDbu/v370MqlaKpqQk7duxAUVERGhoa0NDQAK1Wi3379qGgoAAHDhyAWq1OIDgajQZCoRBqtRqhUAgWi4WzP2UyWdJZOA6HI+naYRdAZwoej4e3336bEv14FBcXQyKRYG5uLuP6m4WQn5+/bIkaITgikQhbt25FWVkZrl69Ss/m8fFx+sxSkane3l4oFIq0G6/odDowDLPg9d+4cYNKEIkPQ+wvaTMdHxx0uVyQSCQQiURgGAYbN27EwMDAgjNdAoEAJicn0+qGqdfr8dOf/jRBUUMGlybLeBLY7XaadeXz+SgtLcXBgwdRWVmJa9euIRgMcggOMF93l8wmLVQfkwput5s2TUkXCoUCGo2Gfo/P54PT6eScn42NjbDZbJxuYiMjIzCZTHjppZdQWloKiUSC7du3w+v1oqOjg342QTqSXavVSm2Y0+nk2CWn04mCggKIxWJqDwkhMhqN1EalEwyzWCwYHR1FQ0MD/H4/jh49Ste+yWSCSqVKazREtpB14ZvVauXICXQ6XVKn+cKFC7hw4QIA4L//+79T9nxPhry8vIRpv8A8KSHM8f333+ccjgKBgE4QB54ckEVFRZyIk16vh9/vpweKy+Va9Pqmp6cxNzeHN998k/PaxsZGdHd3IxgMIhwOw+Vy4eDBg9i8eTPa2towOTlJI3oLQaPR4OTJkxgdHcXmzZsxNjaGnTt3QiaTob+/H0qlMqkGlI1AIACNRgO9Xk8NaEVFBedg3bBhAx48eMD5vHA4jLt376KyspLWXQDzMsRgMIiXX34Zer0e9fX1OHfuHD3A9Xo9jEYjHj16RLMDAPD3v/8dbrcb//zP/4zy8nJs2bIFbW1teO655zgHVlVVFa5cuYK2tjYYDAa8+eabYBgGd+7coYc1cdocDgc19uzfe+/ePfT29mJsbIxmvA4ePAi9Xo8NGzbg7NmzEAgEVNvd1NREo4L5+fmwWCwLPvepqSn09/dj9+7daRl39rP0eDyLridyaJWUlHBe+/3vfx8PHjwAn89Ha2srpyvX7OwsIpEIwuEw51kRkNoivV6PixcvoqGhgZKhyspKujfu3buHsbExfPHFF/S9paWl2LVrF4D5DGWyQvkrV64gEAhwalrYILUk7ALrTCCVShEIBKjBDAQCKT+HOBjFxcULvo7YBDbUajWdMbBv3z4MDQ3ROSULIRKJQC6XJyV/mYJ8Bun6FAqFIBAIUFZWRmUWyVBRUYGOjg7U1NRwnOi8vDw4HA7o9Xo4HA4UFRVh+/btOHfuHGKx2JKeBRszMzNQKpWcRgDxEAgENBtGAjnJis8vXbpEnytxBquqqhI6zwFPCq2BJ23a/X4//RuRg27ZsiXpbywuLsbo6Ci1T6R4l9jEqqoqXLt2jQY66urq4HQ6cffuXTpaAJjPBA8NDeGFF16Aw+GASCTCjh07cOXKFc4Zde3aNYjFYmzbto2+d9u2bbDb7WhsbEwq21SpVAiFQtDpdHTdRyIR6PV6WK1WDA8PY9++ffRM+/Wvf815Bnv27KEtmo1GI+d6rFYrysrKOGeC0+lM2N8ajYaz10gtFTDvaLHlVH6/HzqdbslrarH3NTY2oq2tLakNWgoKCgpgMpmg1Wrp3kpmE1JBIBCAz+dTm3vkyBH87ne/w/nz5/GrX/0Kg4ODkEgkdG6NXq9HJBJBe3s7Nm/eTJ/79PQ0mpqakpLdhUCGYseffxaLBT09PdizZw+kUinOnTsHqVQKl8uFmpoa1NbW4vz585z9Asw74Vqtlv7tzTffhMViwaVLl1BfX5+gVCA1Xo2Njct6Hps3b8bJkycRiUSSnl1OpzPpuXHkyBH8/ve/h91ux+bNm6FUKqHT6SAWi1FVVbWgFLqmpgY9PT2QSCQpCTlZCyTIRPZLuqipqUFnZyc0Gg31J4l/BADPP/88rly5guHhYWzcuBHAfD0jj8fD3r176fVrtVpcv36dBvXIMFHgyUwkhUIBqVRKs9Zs+0red+jQIXz44YcYGhrCli1b6Pyr+vp6hEIh6utOTk4iEomguroaJSUlyMvLg9Pp5Px2q9VK66UJTp06Bblcju9973twOp34/e9/jwcPHuDtt9/G+Pg4duzYkXH97XKQdYKTjEUmO/T279+P/fv30//OVCpBokrs97ndbnz66acQiUR47733kJ+fz/l3dvEw8OSh+3w++pAmJiZQVlZGnWKGYTAyMrLo9d28eZMWCbNfS9o5fvTRR1Cr1RAIBHQK8WuvvQan05lWFqampgZdXV3o6+tDJBJBcXExPWQGBgaSGgU2HA4H8vLyMDs7Sw15/P0pKSlBa2sr7t+/Tx2k7u5uqvsuLi7G3r17odPpcPv2beTl5UGhUGB2dpaycr/fD6FQiNnZWfD5fJp5UiqVCIfDtFWjXC6n19Lc3JwggSCbk2h25+bmUF5ejjt37uDRo0eorq6mDlAoFMLo6CgnKnzx4kV0d3dDr9djx44dKCkpQX5+Pr22+vp6nD17FpcuXaL1VxUVFfR+FBUVoaOjAxaLBUKhEF1dXcjPz6eb89y5cxAKhWhqaspo7arValgslkXfQyLRyYagEQIxOjqK9vZ2TE1Nwe/303v46NGjpBrurq4u6PV6HDp0CJ999hl++9vfchzm2dlZiMVihEIhHD9+HKWlpXj++edpLdrRo0cBIKmcgBjbx48fL3gAWK1WSjSXIo1SKpX0twLzh16qzyH7m2GYBV+3UIvS5uZmGI1GOBwO5Ofno7OzE5OTkwsWQ87NzS0qs0gXpBOT2WwGwzCYnJyEUqlctN5OpVKBx+Nh06ZNnOsQCARwOp20AUFTUxNcLheEQiGmpqaWdc2xWAyPHz9GaWlpSjsmEoloRkYqlSbNYpK1MTIygoqKCoyMjNCzg32NpB5qcnKS/p204Z6bm6N/83q9tF1/st8olUoRiURgMpmg0Whgt9shk8noa4lz0d3dDYFAQMkgaVJCSAGJjn/zzTdUbmu1WlFYWAiTyYSZmRlEIhF0d3ejurqak4GRyWR46623FsxCk/tGBtIC8xmBwsJCGjg0Go1pPUOZTIaBgQHMzMzA5/PRaH78e8ViMedvMpkMMzMzSVvGjoyMcAKaDocjq0XJ8SgtLUVbW1tarYXTAZ/PRyQSwdjYGD0/Mv1s0l2L/Z7XXnsNX375Jf72t79hcHAQmzZtwtzcHJWF9vf303ESdXV1tMA7/t4vhoaGBly5coWqEwhIpL++vp7aja6uLrhcLipd5fF4GBoa4kj95ubmOLVnwLyv9te//hWffPIJ3njjDQ7JIZmdpdp0goKCAjAMg9bW1oQMHiGG1dXVSb/jrbfeohJ+kvVmBwSSobq6Gp2dnfj973+Pt956a0Gnm6wFtlogk99pNBoRCATokGkgcX9VVlbi4cOHeP7558EwDIaGhmgwio2mpiZcv34dMpksqSx/dHQUCoUCf/zjH1FWVoY33niD+lEmk4nWY1ZXV9PvC4VCdBC2SqWi65NI3cmZptVqMT4+Tq87Eongj3/8IwoKCtDS0gKGYWCxWDA4OIjdu3dTX2TLli24d+8epFIpDbxmY9+mK0/NukSNXRwOzG+YVAOrlgqpVAq/388hVG1tbQiHwzh8+HDKG0AY++zsLBiGgUQioZ1dyMIhKcOKigpMTU2lTP9NTEygra2N09qTQCaT4Qc/+AGKioowMzOD6upqSqYUCkXaD2rv3r1oaWlBeXk5ysrKUFhYmHY75Wg0Cq/XS3+3SqXCu+++y5GxAPOLRiqV0g5twHzUPy8vD7t374bVasUXX3wBk8mEiYkJbNiwgToger2eZn3YEjXgiexvZGQEoVAoocYoGWQyGS22JcV4er0ePB6PI2Eh38Xe8KFQCP39/WhsbMSPfvQjvPDCCygpKeFEc/R6PQwGA9rb23Ht2jVIpVLOAVFWVoZoNIqJiQlMT0/j0qVLuHjxIp13QjI+6RSDskGG2SWrF2AjnbqL/Px8RKNRzM7OcmSUyepFvF4vLBYLqqqqoNFo0NLSgk2bNqG2tha7d++m94YcXnl5eTh06BCKioqwdetWvPfeexCLxdBoNLQwmg2RSASNRpNS7pHOb0oFIrFhByZS3Uf2DJxMsWvXLqoVLioqQiQSSTmUjC0BXS7ii8sXm4FDoNFo8C//8i8JEhcyV8flciEUCkGr1YJhmAVr5DKBzWaD1+tdtKOVWCxGMBiEx+NZMGJKCvuJPbNarVCpVAmkUigUQigU0gy82+2mwQ52TRqxCQvVx8XP2yId9whIbUA4HKa2h2TbieyEyO7EYjH6+/sxMzNDg01FRUVwu91wuVwYGRmhwZpMQOqn2ISQ/K65uTl6z9JBXl4eIpEIXC4XXcvkWtnrK36/xM/CYTtebJkaaam+VIlaOigvL8eRI0fSlnEthmTS9ExBBseyUV5ejubmZvT39yMajWLjxo00+BkMBqkDGS87zNRWbdiwAQqFArdu3eL4KBMTE9BoNLRJEQBKiEmtU3xjGPYMHDbIWeByufDXv/6VU6Q+OzsLuVy+bGmuTCZDaWkp+vv7E3wtp9OJWCyWch+TmTrporCwEN/73vcQjUZx9OjRBSV4BA6HAzwejzNTMR1UVVXRocEkWxyvtqmoqIDP56M1UWROVjyampqo4oQNdk3i9PQ0IpEIhoaGcObMGU6bZ4PBAIZhaLbGbDZz5M9arRY+n4/6CkKhkN5zvV4Pm81Gg0vT09MIBAIYGRlBf38//H4/Lly4AKlUik2bNtFrI41zWltbIRaLl103lymyTnBIZH16ehrhcBg3b97kTHjNFqRSKWKxGD3Q/H4/urq6UFdXt2jBN1kQTqcTEomEOunl5eUYGhpCMBjE1NQU8vLyUFZWBp/Pt6BW3efz4cyZM1CpVNi7d2/S1+h0OrS0tOCHP/zhgq9ZDDweDxUVFXjzzTfxzjvv0M5AAoFgUYLj9XoRi8U4DlhpaWmC48Dj8VBbWwuTyQS73Q673Y6JiQk0NTWhubkZhw8fRiwWw8mTJ+kkcvZ7SVcbsgGJMSD3jqTq0+1+U1FRQbM9wJNuXdPT0/D7/TTrAnAP3cHBQYRCoUWLNQ8fPowjR46gpaUF7733HielS2SLo6OjtIZsenoao6Oj6O7uTqhzSBdarRbRaHTRuiGHwwGhUJiUTBAQKdPU1BQlOOXl5UkJDpHZVFVVAZjPxr388svYv38/mpub6esKCwuxefNmtLS0cMhbYWEhfvKTn+Dtt99e8HrYWu9kWA7hAEDT5A6HgwZN4uvwrFYrPv/8c7hcLnooLZd4kPWaqtvS00BwACQt7ia2ktQRkcBIshq5SCSCU6dOpd0yntSjLEZwRCIRJQOp7hM7QGa1Whd03tmdg0hARiQSZURwSE0cabUbT3DI9QBPamVEIhG1QcATB/X5558HMB9MIs4JWTdfffUV7ty5kxBESQdyuRw+n4/eE6VSSW3H3NwcPQPSAbkPdrsdU1NTtPYBAMdxSkZw2LNw2LaLTQzI88glwWEYBkajMaWkOxPkiuAAwAsvvICioiKUl5dDp9PR2UvDw8O08xhZo0u1jQKBADt27MDk5CT9TBKYI+uPBKZI3SX5DoPBgMnJSUrw2TNw4lFRUYEf/ehH0Ov1VNoGJA4uXg6IBDT+DFlsHy8VRqMRR44cgU6nw9dff43W1tYFA9kOh4NmyDMBwzB49dVXEQgEMDExkVR+SGzC6Ogo5ubmEAqFkg6wlUgkePnllxMaZ7FrEglh3bFjBx4/foyrV6/SICjZ62zfJp7gAPMKkN7eXtTV1dF9Rt5LAiMkwKPT6XD16lWcOHECDocDb7zxBmcviMVi6v+TRicriawTHD6fj5///Of4r//6L/zHf/wHdu3albVoCxvxTkBnZydCoRDHWVsIIpGIPgS2A7lhwwaEQiEMDAzQblFkQSZz3AKBAE6fPg2v14tDhw4tWgdjMBgWfU0miI94LoRULWzjsX37dvD5fFy+fJm2TSYZFK1Wi3feeQcikQi1tbUJURvynImBZGfKwuEwTCYTqqqq0l7k+/fvpwX/BKRbF3EsSF0CO4PT29tLO5SkgkgkgtFopMXDbAiFQhQVFaGvrw+PHz9Gc3Mz5HI57t69i4cPH9JWs5kixqdHCQAAIABJREFUPmpMMDExQZ11MpArWbcyNpRKJaRSKaanpzE1NQWtVovS0lI4nc6EriomkwlKpXJR/atQKMTevXuTHrQymWzRWSzs7oTxSIe0pQL7mkgr9vj2mKRI/f79+3A6nVAqlRkfSvGQSCTQ6XQLFqXGZ0iXC4lEQrtn+f1+BAKBjBslsEH2Kbl+sgaTEZybN29icHAQDx48SGs46Pj4OJRK5aLXJxaLaZvoVPeJFPa73W7Y7faUBIes8YGBAVr3EU9wGIZZMOoqEomg1+thNpsRDAYRDAYXJTjk/xNHgtih8vJy2mWNBB70ej0OHDhAJSn19fUZr0VCTi0WCwQCAUpKSjgZnHi7lQpsgkPqNthZbbK/khEc4AkJcDgc9Bxjr590Owk+TcgGwQmFQkkJDp/Px+HDh/HWW28BeNKW+ubNm3QocHyjnKXs86amJiiVSty5cwexWAxzc3MIBoOc889oNNJ6S/J8t23bBoFAgKNHj9IhmgAW3HNKpRIvvvgiDZZEIhFYrdasEZzq6mrweDzajZYgVwQHmLcjhw8fRkNDA27fvo2jR48mbQSx1OY4wLwd2Lp1K4Dk3RIVCgV0Oh1GR0cT5szFY+PGjZzAMsD1hWdmZiCXy7Fr1y5s2bIFnZ2d6OvrQygUor6sQCBAUVHRggTnxo0bkMlknEZYpaWl4PP5lCSbzWbodDocPHgQfr8fFosFBw8eTBq83rJlC2pqapYUEF4ucjJdZ9u2bbSLTK5AnCSfz0c7elVUVKS92RQKBaxWK8fZKigogEajwf379+HxeGjNBcMwmJ6eRnV1Nd1ssVgMp06dgs1mw/79+zMqDMwmyMZgg7SbbGhoAMMwGREchUKBXbt24erVqzCbzSgrK+McWAaDAR988EFSkrJhwwZIpVJ66IrFYpSXl+P+/fvwer0IhULUCVgqjEYjenp6aORYq9VCpVLRA8LpdGJ8fJzqWZcDUoslFAqxbds2yGQy2nZzqZk4knmwWq1UAnX//n1qVPbt24dbt26BYRi89tprKT+LYRjk5+djcnISfr8fZWVl1DBOTk5CKpXixIkTtPHApk2bshb5TAayB2ZmZhImkQNPOlot9RrIAUPkDLdv304gcuS/u7u7IZfLl3woxYOQXVKXF/+d8RnS5YBhGEilUni9XkpKFquxSwVyAJI6A5KZUygU8Hq9iEaj4PF4GBgYQFtbGyoqKjA8PIze3t6UdtxqtWJ0dDRlcwECsVgMm80Gv9+f8j4R+20ymRCNRlMSnKmpKczMzMBiseCFF17A9PQ0J7tA1luqgEpJSQk6Ozvp++Kdc0Js2I6JwWDAo0eP4PF4YLPZwOPxoFKpsGfPHlRVVXE+o7GxEY2NjbS+IlOQe2U2m5GXl4e8vDz09vbC6/XC4XBkJHmTy+UQCAQ0gxMvFdZqtbDb7QnXyZ6FQ2ob8vLy4Ha71zzBEYvFEIlEy87gLCTRIl2/yHeRDKVWq0VRURHNPhI1yVLWCJ/PR3NzMy5fvkzVMwB3YHh+fj76+vogEono/tfpdHj//ffx5Zdf4tKlS5DL5di/f3/KbCzpjjs+Pg61Wo1oNJo1gkP8hcHBQdoYAwBdk0sNjC0GgUCAAwcOoKSkBLdu3cLRo0exb98+WvRPmpUky6qkC+KPLLRfy8rK0NnZSX9nJkRXJBJBIBDQDA6xWS+88AIGBgbwzTffAOAGacrKynDjxg1YLBbaNY9If0OhEPbt28dZiyKRiD6b3bt3w2KxoLGxEQaDgXbkXOi3CQQCvPHGG2n/nmwiJ4M+VwJsgjM8PAy/309ZcjogRpgtw2EYBhs2bKAkhmxmnU6HqakpdHR04JNPPsEnn3yCTz/9FC6XCy0tLTTDsRrQ6XTweDycyOX169dx/vx5/O1vf8PDhw9pT/50HbDNmzfTTi/JZF5isTipLIK0WWY7O2+88QYKCwvR09MDsVi87OnTxIkm7W5VKhWn/SnpFBYf5VgKiJO+efNmSKVSbNy4ERKJhLboXgpEIhGnYLy1tRU3btxAZWUlxGIxTp48CavVitdffz0t59xoNMJqtcLr9cJoNMJoNILH42F8fBznz5+HUCjEhg0bsHHjRjz33HNLuuZ0QQzoQjK15UTBgCcEp7S0dMEp716vl3brykTalc53kyg/AZEzZBJASBek9mJ4eBgikWhZhyuxlW63m0MYFAoFrSmLRqO4dOkS8vPz6Z7t6upaULLh9Xrx1VdfQSgUUnlWKojFYupELiZRA57UCyxEcGQyGZxOJz777DOIRCLU19dDIpFw7KDL5Vr0+RcXFyMSiVANfvy11dfXo6WlJSGDA8wTeZvNRkmUXC5f8JAn7ZYzBVnnbrcbGo2GRrGHh4cRi8UyyuAwDIO8vDwMDw8jEAgkRJN37dqFw4cPJ7yP3ENiY0nL3vgarrVIcIB5ApcLiVoykH1MOpIRqTW7nflSQOZetbW1YWJiAkqlkpO5JOdmfICJDMI8cOAA/umf/glNTU0pgxUCgQCFhYWcgvNsERxgPuDgcrk4dp2st1yCYRg0NTXhpz/9KdRqNWdEBJFnLuf5CIVC7N69e0EiXFZWRu0QabiQybXLZDI4HA7YbDZqn8RiMV566SWEw2Fac8X+PmDejpD9zTAMzbQk829qamrgdrupWor4cvX19VRR8bQhJxmclQCb4MzNzVFJUbogRjh+wTU0NNABZuwZBY8ePcLo6CgqKytRU1MDn8+HysrKnDRQyATs4ZEkYkOyTy6XC9988w0EAgEqKirSdsB4PB4OHDiAjo6OJTvyBEKhEC0tLThz5gyMRuOyNZik2NdmsyEvLw98Ph95eXmwWCyIRqPo7u5GaWlpVhxbg8GAt99+m95XoVCI7373u+DxeMuSPZH5G7du3cLdu3fR0NCA/fv3IxKJ4M6dO9BoNGm3nmY7KYSQ6/V6dHR0IBaL4Z133kmaTckFJBIJtFotRkZGEuruSI1DsrlU6UIul2Pz5s1oaGig+zZeoub1eqFSqWjEMlsEhy1lEYvFcDgc+POf/4x3332XSrlyQXBmZmZQXl6+rPXGtnFsh5jYQLfbTQvEt2zZAoFAgE2bNuHcuXMYHx9PkBhHo1GcOnUKHo8Hhw8fTqvwlh0NTOUAS6VSSCQSWi+0kH0lmfVNmzZhx44dkMlklOCQLJvH41m0AJ/sbVL0HX9tfD4/Yc2yCY7Vas3pGcB+dhqNhjpZhJBlQnCAeYeWvDc+KyiRSJI2TZHJZFCr1XRMAZnPFQ6HOVJbt9sNiUSSdk3Q04KVJDgVFRXo6+tDQ0MDlTna7faE+SiZQigUYuPGjXjw4AGEQmHCuU32SzInXSqVZhQQJJmOsbEx8Pn8rK5/QpaI3QPmZaDp1u0uF0S2ypb9E2KfLTVAMpC6mIXaZC8GuVyO8fHxhLlh9fX1NOjLPkP0ej2dj8Y+I+NLAtiorKwEj8ejs/dWumHAUrC2LBELhOB4vV6YzWYUFhZm5Dwny+AA88a8oaEBbrebGmoiiyorK8OhQ4eeKgNOjIvD4UBxcTHC4TCCwSCqqqrw3HPPwePxLKk4zmAwcNp4LwcikQgtLS1Z+SzSaGB2dpb+dhJd7+npgdvtxiuvvJKV7wKQQDSWE0knICRgZmYGTU1N2LdvHyVNbN1rOiCHInsqekFBAW0HvFLkhqCmpgatra3wer0c58zj8WQ8KC0eDMNwpIEikShpBkcmk9Eiy2zMpQG4HQH1ej1mZmYQDofx6NEjet+zTXBGR0cRi8UymrOUDKSRCnugK8BtAkL0+eRwrKmpoROp4wnO+Pg4JiYm6BDJdMB2AFMRHIZhoNPpYDaboVQqF3QcGxoaUFdXx7H5ZNZIOByGQCBIWIPJIBaLOTU16TxDsVgMlUpFJXGkcUcuwL5+IlED5guSeTxexvuJvJ/Y0XTAMAwqKyvR2dmJubk5xGIxanPJGmUYZllDPlcTSqUyaWOWdJEJwamqqsKvfvUr8Pl82pHKZrPB5XItW75NZusFg8EEQkAyrdmwhyRy39fXB51Ot+waRzbYQyXLy8vpwOuVDCRrtVqYTCZqE5fb/TMdkAD92NjYknwMuVxOa4fYBIdhmKS+F5lFlkkQUCwWo6ysDMPDw9DpdFkZap1rrFmJGo/Hg0Qigc1mg9VqzZjhk4Msma7ztdde43SLqqurw+7du/Hmm28+VeQGSJzqTRw+mUxG2/xl0wA9DSDpdmL0yKF969atZcnHVgok6rpp0ya89tpry47OK5VKaLVaWjBcV1eH0tLSjMlSNkAOaXarcSA3hwTJcrBBnFqtVotf//rXWSN48R0BSXGmyWSC2+2mMoFsQSaTUXnYcgkO+9oWyuDMzMxAIBDQPSUQCLBhwwaYTKaEjn8DAwMQCoUZSXPZGZzFSAS5xlRODbu2gYAEq/x+P/x+P6LRaFrPhJwdpEYlHRgMBoyMjKSsE8oGiDYemL8fIpEIMpkMkUgEWq0244w4uadEypouKisrEY1GqdxZrVZDoVAgFApR2eZaJTgKhQJ+v58SjkxACHW6BAd40umQyMXGx8cRjUaXbRuVSiWtq0oWXd+5c+eybQkwv3aEQmFW628IyOBNIn8jTTxyLVFjQ6PR0LobYGUIDjAfVBKLxUuq5yY2lQRf2ODz+UntRHxTqHSvEcCKZdSWizXt+UqlUjoQMdPaDmKIkxEchmE4GkiJRILm5uYFp+KuJgQCAcRicVKC86yCRKGI0SOGx+fzYdOmTU89oaurq8M777yDvXv3ZqXo/6WXXsKuXbvofxcVFeHdd9/NeEZPNqDVaqHRaFaM4CSTqJG1n82WlDKZDDwej9NJCpgPLAwNDdF/zxaIXTIajVnJDJHPYzvjpJbO7XZjenqayj8JtmzZAoZh0NbWRv8WiUQwODiI6urqjII9hODw+fxFC6mJ05QpcWATHGIH07l35OzI5KA3GAw0wpvr6DJZz+yMNZC5PA14YjMzlcEUFRVBJBLRGSiE4ABPSL/b7c5qFnOlEB+8yASEFGVCcAj4fD6USiVt75wN27h7927s3bs3p2uSz+dTBzfbBId8JsmokiYr2crEpwNidwi5mp2dTTqPK9vYuHEjfv7zny9pLREbodfr0/YpKisrUVhYmJHvXFVVBaPRmPE8r9XC0+0JLgKpVIpQKASBQJAx6zUajdBoNCu6cXIF9kyIbwPBKS0thVQqpVEqlUpFI7qZDvxaDQgEApSVlWWto1ltbW1OZTKZgBQqms1mTnbF4XCkbNm7FLBbBQNAOBxGIBDIiZPF4/E4RdWkgQHDMHTYXTZB9m82Iq7k8xQKBYdcsId9srvvECgUCjQ0NKCnp4fe59HRUQQCgYzlNOR75XL5ouueOO7ZIDjp2EG2HUkX7Hu1EgRHLpdTx4eQlKVkjnQ6HXQ6Xcb2gs/nU8mQUCikmWNgXrYZDofh8/nWZAZnOa2iSfZqKU4pMP8sSQ1fNgiOUqnE5s2bc9otE3gSFMgFwTEYDLDZbAiHwxgZGeHUnq0E2J1OSYv2bEjTFwPDMEsOopPzZ7ExEGxIpVK8//77GdkRiUSCI0eOrIn6G+AZIDgAMq6/AeYXxE9/+tMVTX3mCt82gpOXl4df/vKXdGPy+XwYDAY0NTXlrJXkOtJHTU0NYrEY7ZkPzBMcpVKZ9awKm+Dkeu3HExyDwcCRN2UTRNse38p3qdi+fXvS2jSFQoGJiQnOnAQ2tm3bhnA4jM7OTgBAf38/1WJnAkJw0nGACwoK8Morr2QcJWQ3niH2MJ21IJFIks6XSAXiSMhksqzONkuGuro6TuBmORkcsViMH//4x0tyUEizBULs2RmclRjymSusNsEBkJWBxCuJxsZG7NixIyeOrl6vRywWw9TUFMxmc9aCPOlCKBRCqVTCZrPBZrPB6/U+9Q79UgjOtwFPV0FJhiCH11rRA+YKcrmcdh36NhCcZPj+97+/2pewjv8fer0earUaJpOJzhJYbovoZJDJZAgGgwiFQhAKhTlf+0qlEhaLhXaEq6yshEKhwPj4eNadE4PBgN/85jdZk0UsJEMg10++Mx5arRZVVVVoa2uDz+eDyWRCbW1txkSVOIDpOMAMwyRM604HhGgEAgEqHUr3uezbtw96vZ5q/xeDXC6HVCpdkeLn+HtRWFgIgUCw4uqDiooKTicuko1jz8NZiwSHrJHVJDhLaQS0mpBKpRxZdDZB7FB7ezsikciyOm8uFRqNhs75Ap7+jmFFRUXYunXrU6PkeFqwdnZUEpCI3TrBmc/gkJkWEokkq5HytYDltm5eR/bAMAwKCgo4rTZzQXCIY0KIzUpkcIgzF4lEoFKp6IGSTekdwUo0NCEOKY/HWzAjsGfPHpSWlqK3txehUGhJc7/YErVcIV6ixufzl+x4LgaGYfDKK69g586dOfn8VCgtLcVvfvObFY/4S6VSvPjii9i0aROA+TUjk8ngcrkwNTUFYG0SHDLDaDUJzkpKsJ52qNVqCIVCPH78GAKBYFXIhVarhc1mw8jICMRicU4biWQDQqEQe/bsyXk2ea1hTWdwiouLUVJS8kzU0SwHcrkc0WiUHuzrMq11rDY0Gg36+voQCoXo2sxFBgeYJzZqtXpFMjjRaJS2lFWpVFCpVHj33XfXrDSAOKQ6nW7BoIharcZbb72FcDgMh8OxJGmURCKBVCrN6X0SCAQQCoXw+Xzw+XyQyWQ5rUVYzULb1QrmNDc3c/5bqVRiYmIC/f39KC0tfeodwYWw1Fk4hOAstXZineAkgow8sFgsKCkpWZXOtRqNBuFwGL29vRkP3lzH04M1TXBKS0sTZjR8G8FuFe31eteUlncdzybiO9EA2T/E2QSH/b+5JDgAqByUFKWvZRtECE46xEMgECyJ3JD3/uIXv8i5oyCRSBAIBNKagbOO5UOhUGBychJyuRyvv/76mnUElUolpqenM37fcjM4KpUKBoMh4y6wzzoIwVkNeRrwpNHAWqi/WcfCWNf0PAOIJzjrB/s6VhuE4MzNzeVsjkD8DKhcyzMJGZiYmACQWdetpxXkNy1l9kKm4PF4OXeAxWIxfD7feqBnhUBmuXznO99Z0+cOyeCQ2VPpYrkEh8fj4Yc//GHWmok8KygsLASPx1s1gsPORK5EB7V15AZrOoOzjnmsE5x1PG1Qq9Xg8Xiw2Wz08M82wSFSTHYGJ5drn2RwSFvop23o71JgMBjw6quvor6+frUvJSuQSqXw+/3weDzrjskKoLm5GbW1tStCkHMJIvMOBAIZvW+5BGcdyVFfX4/S0tJVC1JIpVKIxWKEQqFvfQnEWsbaP6HXQY2A3W5HKBRaJzjrWHXw+Xzk5eXBarVCKpVCKpVm3Qng8XiQSqUrRnDEYjGEQiFCodAzkb0B5vXupGj8WYBEIoHD4YDf71+3gysAiUSyKgOFs434bHC6CAaDEAqFa1aa97SCYZhVzcAyDAODwQAej/dUDnhfR3pYJzjPAAQCAcRiMZ3+u36wr+NpgEajwdzcHJRKZc4IQfwMqFxG28jsD5vNtl4U/JRCIpHA6XQCyG3HtnU8W4jPBqeLYDC4nr15RvH6669Dq9VmnNVbx9OD9RqcZwRyuXyd4KzjqYJOp4PD4YDVas3ZQF2ZTMYhOLle+0Sm9qxkcJ41sLMJ63ZwHekivuV8ulgnOM8u5HJ5Ttr/r2PlsJ7BeUYgl8thtVoB/H/t3XlwlPUdx/H3Hkk2FznIsQm55YYcIAQSEVFCEFC0mNZaRxTPEduqU6qOHR1msBUEO7XO9HCKZbAzGg+oCMUDgXAJaBBDTVI2ciZCMiEkgSw5Nrv9g9kVPJOY7Cabz+u/hOT5/Z7Nh2f3+/yOR2/s0j9ERUV5ns3UVyMesbGxHDhwgLNnz3pleqZ7Ub4KnP7p0gJHIzjSVV/fkbGrVOBIV7hcLlpbW3E6nZrO2EUulwuj0YjFYunxa6YCx09c+mauAkf6g0t3oumrAmfcuHGUlpbyySefAH3/oVYjOP2bRnCkJ4KCgjAajSpwpE+0trYSEBDgFxvTeJPD4aC1tbXHz3bUFDU/cekHOz3oU/oD97MEoO8KgsjISJKTk6msrAT6PvsxMTGYTKYB+0BDf6cCR3rCYDAQEhKiAkf6hNPpVHHTA2azGafT2fPf78W+8Morr1BaWorZbCY+Pp7FixdrmoCXuF/nvnwOiEh3mM1mIiIiaGpq6tNF+ePHj+fkyZNA34/gZGRkcO+99xIUFNSn7UjPuAucoKAgfaCQblGBI31F09J67se8dr06gpOVlcXzzz/PqlWrSEhIYP369b15ePke7g92umsp/UlUVBRms7lPC4+MjAzPyE1f599gMKi46cfcBY6ug9Jdl25Y0lUdHR0qcET6qV4tcLKzsz2jByNHjvQsepe+5178rBEz6U+ysrLIzc3t0ztYJpOJrKwsLBaLpmcOcipwpKdCQkK4cOFCl3/e5XJpBEcGjOTkZGbNmsV1113HnXfeSVNTU4+Os2TJEg4fPvyN7xcXF/O73/2ux/0bMWJEj3/3u/TZGP7WrVvJz8//zn/fsmULW7ZsAWD58uXExMT0VVc8zGazV9rxBXdhGRUV5bfn2Jv8OQv9ibde4zlz5nDttdd2+4OtcuBf3LsURUdHd/vvqiwMbjExMVRWVmI0GruUg/b2dlwuF5GRkcqNn+qta0Jtba3Pp8xaLBa2bdsGwK9+9SvWrl3Lo48+2u3j/OlPf/rW75tMJoxG4486z2/73aCgoB7/Dbrdk2XLltHY2PiN7//85z9n8uTJAKxbtw6TycTVV1/9nccpKCigoKDA83V9fX13u9JtMTExXmnHFxwOB3Dx6e7+eo69yZ+zMJh1dw69cuB/IiMjCQsL6/bfVVkY3AwGA06nk+bmZlpbW3/w593T2RwOh3Ljp3rrmtDW1tYv1ka7PydOmDCBiooKz9d//etfeeedd2hvb+f6669nyZIl2O12HnjgAU6dOoXT6eThhx/mpptuoqioiKeeeors7GyKi4t58cUXiY+PJyMjg8DAQBwOB4888ggFBQXccMMNwMXRGZvNRktLC4sWLaKpqQmHw8Fjjz3G7Nmzv9G/S7W1tX3jb5CYmNil8+12gfPUU099779v376d0tJSnn76aS2s8iKz2cyMGTNISkrydVdERHzmF7/4BUajNgiV7nGP/ra0tHTpw2h7ezuApqhJt+zYscPzUPbeEhsby/Tp07v0s52dnezatYvbbrsNgJKSEo4ePcqmTZtwuVzcdddd7N27lzNnzmC1WnnllVcAaG5uvuw4tbW1rFq1infffZfw8HB++tOfMn78+O9tOygoiNWrVxMeHk5DQwM33ngjhYWFfVYr9Oq7wMGDB3n77bd5/PHHtRDXB7KysrR9rYgMaiaTSTfXpNvcBc65c+cAOHHixLfeUXZTgSMDSWtrK7NmzWL8+PE0NjZ6CqKSkhJKSkooLCxk9uzZfPHFFxw9epTRo0ezc+dOfv/737Nv375vPOrh008/JS8vj6FDhxIYGMj8+fN/sA8ul4vly5dTUFDArbfeyunTp3u92LtUr04KXL16NQ6Hg2XLlgEXh6Xuv//+3mxCREREpFddOoLT0dHBv//9b3Jzc5k6deplP+dyuQAVONIzXR1p6W0Wi4UPPviA5uZm7rzzTtasWcM999yDy+Xil7/8JXfcccc3fmfz5s1s3bqVZ599lmuuueYba3a+60bSpc+vcblcdHR0ABeXr5w5c4bNmzcTEBDAlClTaGtr6+UzvaQfvXmwF198sTcPJyIiItLnLh3Bca/BKSsrY9KkSZctft69ezc2m80zHUcFjgwkQ4YMYdmyZSxatIiFCxcyY8YMVq5cyYIFCwgNDeXUqVMEBATgcDiIjIzklltuITQ0lNdff/2y40yYMIGnn36ahoYGwsPD2bhxI2PHjgUgKSmJQ4cOMX/+fN577z1PgXPu3DliYmIICAhg9+7dVFdX9+m56kloIiIiMqgFBgZiMploaWmhtrYWk8lEa2srFRUVZGZmAhcXPJeVleFwOPjoo488vycykIwfP56xY8fy9ttvU1RUhM1m80wxCwkJ4cUXX+TYsWM888wzGAwGAgICePbZZy87Rnx8PL/5zW+YP38+8fHxZGZm0tnZCcDtt9/OokWLmDdvHtOmTfPcPFiwYAF33nknc+bMYdy4cQwfPrxPz9Pgco+3+tiXX37Z521olxxxUxYElAP5irIga9asIT09HZvNRnJyMmfPnqW9vZ077rgDg8HAp59+ys6dO7n++uvZtWsX58+f57777tPzt/xUb10T7Ha7ns3VQ9/22vXZLmoiIiIi/iY4OJjjx49jt9tJTEwkPT2dd999F5vNxogRIzh06BBWq5WRI0eSkJBAdXW1ihuRfkoFjoiIiAx6oaGh1NbWAhfvEkdFRTF06FDef/99jh8/TmNjI4WFhQCEh4czZswYX3ZXRL6HHhYgIiIig557KozFYiE6Ohqj0UhRURFpaWlUVFQQHBzc5+sGxP/0k5UgA9KPee00giMiIiKDnrvASUxM9GyBGxQUxLx58/jvf/9LWFjYZTuqiXSF0WjE4XAoO93kcDh+1EOb9WqLiIjIoHdpgXMpg8Hg2UlNpLssFgutra20tbXpIcRd5HK5MBqNWCyWHh9DBY6IiIgMehEREcDF53iI9BaDwaDNKHxABY6IiIgMeikpKfz617/2dTdEpBdokwEREREZ9AwGAzExMb7uhoj0AhU4IiIiIiLiNwwu7V8nIiIiIiJ+ol+M4Pz973/3Sjv33HOPV9rx1vl4qx1vtqUsqB1vtuNvOfBmW/7Wjr9lQe30jLdyAP732vlbO7om9O92fki/KHCuvPJKr7Tj3gKyr3nrfLzVjjfbUhbUjjfb8bcceLMtf2vH37KgdnrGWzkA/3vt/K0dXRP6dzs/pF8UOJMmTfJKO6GhoV5px1vn4612vNmWsqB2vNlzNE0aAAAQBklEQVSOv+XAm235Wzv+lgW10zPeygH432vnb+3omtC/2/khpqVLly71dSe8KSMjw9ddkH5CWRBQDuQryoKAciBfURYGLm0yICIiIiIifqNfTFETERERERHpDSpwRERERETEb6jAERERERERv6ECR/ya0+n0dRekH9BSQwFoa2sDlAe5SDkQu90O6LOCP/KbAufUqVNUV1f7uhvSD5w4cYJ33nkHAKPRbyIu3VRdXU15eTkABoPBx70RX3E6nZw/f55nnnmGDRs2AMrDYHX48GFefvlltm/fDigHg5XT6cRut7N8+XJefvllQJ8V/JHZ1x34sTo6Oli9ejVVVVXExcUxceJEcnJyiImJweVy6QI2CL366qt89tlnZGRkMG7cOJxOpy5eg4jD4eDll1/GZrORkJBAVVUV48ePJyMjQ1kYhIxGI0ajEbvdTm1tLWVlZWRlZen9YZDZu3cv69evZ968eRw8eJDTp0+Tn59PSkqKr7smXmY0GgkODqazs5OzZ8+yZ88e8vPz9f7gZwb8X7KiooILFy6watUqFi5cSG1tLVu2bKGjo0NvXoOMe4h5zJgxzJ07l9deew24eDHT8PPgUV1djd1uZ+XKldx3332YTCY2btxIW1ub3rwGqerqaiIjIxkzZgylpaW0t7fr/WGQOXnyJFOmTGH69OksXLgQm83G3r17aWlp8XXXxAdqamoIDw9n7ty57Ny5kwsXLmA0GjVt0Y8MyHf7I0eO8OWXXwIX79Y2NzfjcrmwWq0YDAbKy8v55JNPfNxL8Ya6ujo6OjqAi9MNXC4Xn332GTNnziQiIoIPP/wQQBcuP1dXV0d7ezsAra2tHDt2DKfTSXh4OAEBAdTU1LB161ZA8+793Z49e9i4cSOHDx/2fC82NpakpCQSEhIwGAwcPHiQxsZGH/ZS+trXcxAWFkZHRwd2u53IyEgiIiKor6/HZrP5uKfS1w4fPuz5zOi+/lutVsxmM3FxccTFxVFSUkJ9fb1ufPgR09KlS5f6uhNdVVdXx5///Gf27dvH/v37sVqtxMXFUV1dzZEjRxg2bBj79u0jKSmJ8+fPM3z4cMzmAT8LT75FXV0dL7zwAvv37+fAgQOkpaURHh6OwWDg+PHj5ObmMmzYMNauXUtFRQUjR44kJCTE192WXvb1HKSmppKYmEh1dTUHDhwgOTmZnTt3MmrUKGpqahg1ahQWi8XX3ZY+4HQ6eeutt9i6dSupqam8+eabREZGkpSURGVlJTU1NRQWFmKz2Vi3bh319fVMmDABg8GgDzV+5NtyEB8fj9VqpbKykj179vDRRx8BEBoaSnBwMGlpaZqy6IdaWlp4/vnnWbduHaGhoWRkZBAQEABAVVUVp06d4pprruHMmTMUFxdz7Ngx8vLyAK3P8gf9vsC59KLz6quvEhcXx8MPP0xTUxOHDh1i5syZREdH89lnn1FSUsKECRNIS0ujvLycq666yse9l950aRZee+01EhISWLx4Mc3NzWzbto20tDQsFgu7d+8mJSWFkpISKisrsVgszJ07F6fTqYuWH/i+HOzYsYP09HRycnKw2Wzs3r2b0aNHk52dzf/+9z+uuuoqZcBPGQwGtmzZwk9+8hOmTZtGZGQkmzdvZuTIkQQGBnLq1Cl27tzJxx9/jNVqZezYsYwaNUp58DNfz0FERATvvvsukydPZvLkyQQEBBATE8Ntt93GuXPnOHDgAHl5ecqBHzp//jwOh4Pc3FzPiG1CQgKAZyR3165d7N27l+TkZBITE5k4caKy4Cf6/RQ19/Qjl8uFxWLBZDIBcOHCBaxWKzU1NWRkZLB48WKeeOIJZs2aRXp6Ou3t7Z7fFf/g/nt2dnYCkJycDMD111/PF198wfbt22lqasJkMvHkk0/S2trK008/TX19PcePH9f6Cz/xfTmw2Wxs374di8XC3XffzZIlS5g7dy4JCQmcO3fOM41N/ENJSQnl5eWedRQRERG0tLTQ2dnJlClTSEpK4pNPPqG5uZmysjIsFgsrV65k/vz5HDt2jLq6Oh+fgfSG78vB1KlTsVqt7Nmzh7CwMPLz87nuuusA+PLLL5k8ebIvuy69zJ0Fu91OdHQ0BQUF5OXlERAQgM1mo6GhAbhY/DQ3NxMZGclzzz3Hfffdp914/Uy/HcEpKyvjpZde4ujRo7S2tpKSkkJ7ezsVFRW89dZbnD59msTERDZs2EBsbCzx8fGYzWb279/PP/7xD3Jychg7dqyvT0N6wdezkJqa6rlQhYeH09jYyIkTJ3A6nWRkZBAdHc3NN9/MjBkziIqKIjw8nGHDhmmK2gDXlRycPHkSh8NBeno6Q4YMAaC0tJS//OUvjBs3jszMTN2dG+BcLheNjY0899xzHD9+nDNnzvDxxx+TnZ3NiRMnaGxsJD09ncDAQOLi4njjjTeYP38+1157Lbm5uQQEBGCxWMjJySE6OtrXpyM91J0cWK1W3nrrLSZPnkxwcDCHDh1ixYoVdHR0UFhYqPeGAe67sjBmzBhCQkIwm82YTCaOHDmCw+EgNTWViIgIsrKymDp1KgEBAZhMJiZPnkxMTIyvT0d6Sb8scE6fPs3q1au58cYbGTduHNu2baOuro5rr72W5ORkjhw5wtKlSxk3bpznw+2ECRM4duwYr776KjfffLPnDo0MbF/PwtatW2lqaqKwsJAjR46wY8cO9u3bx+23305lZSUGg4Fp06YRHh6O0+nE5XKRlpamN7ABrjs5OHz4MJ2dnQwfPpxTp07xzjvvMHv2bGbPnq3iZoBzb+N69uxZjh49ymOPPcaECRP4/PPPKS0t5ZZbbmHTpk0kJCQwZMgQoqOjOXToEHa7nbFjx3quCSEhIQQFBfn6dKSHupuDqKgoPv/8cy5cuMCIESNwuVwkJydz66236r1hgPuuLFRUVLBr1y7y8/MBiImJoaamhjNnzpCRkUFnZyehoaGea0JAQACBgYE+PhvpTf1mBb57G1+j0YjNZiMjI8MzdJyZmcnatWuZPn06YWFhDB06lOrqapKSkhg/fjybNm3C6XSSlpbGM88848vTkF7wfVnIyspi7dq15OXlUVRURG1tLfHx8QCMHj3aM4XR5XJpStoA19McjBo1yrOQNDExkSVLlvjmBKTXdHZ2UlxcjNPpZOLEidjtds//b5PJxN13383999/PDTfcwFVXXcWePXtobGwkPz8fs9nMiBEjAD3Mb6D7MTkwmUyeHFitVqxWqy9PRX6kH8rCokWLeOCBBygvL/fM5ikoKOC1115j2bJl1NfXs2LFCo3i+rF+cbXftm0bDz74IMXFxQCkpKSwe/duz/zozs5O4uPjKS4uxmKxcP78eTZv3sx//vMfXnrpJc+0E23/OvB1NQtr1qwBIC4uDoAtW7awbds20tPTAe2AMtD1Vg5k4CsvL+eJJ56gpaUFq9VKcXExZrOZzz//nKqqKuBi4VJUVMS//vUvZsyYQVZWFiUlJTz22GN0dnbqYY5+QDkQt65kwWAwUFRUxBtvvOH5vQMHDvDee++RmprKqlWrVNz4OZ9PUWttbWX9+vVMnz6dffv2MXbsWJKTk2lsbOTjjz9m06ZN2O12Fi5cyL59+5g6dSqpqam0trZy5MgRbr31VnJzc7XVpx/oThZKS0vJzMwkODiYTZs2UVJSwr333ssVV1zh69OQH0k5kEvV19eTlJTEggULyMjI4IsvvsBsNpOdnU1xcTGzZs3C6XQSGxtLWVkZI0eOZMSIEWRmZpKbm0tBQYEeF+AHlANx62oWYmJiKC8v54orriA0NJTTp09TUFDAnDlz9LiAQcDnBY7ZbGbUqFFkZ2dTV1fH/v37ycvLIysri8zMTNLS0pg3bx4dHR3YbDZyc3OJjIxkxIgR5ObmMnToUF92X3pRd7JQVVVFXl4eJpOJ1NRUZs+erbsxfkI5kEsNGTKElJQUz02slpYWTp8+zY033sj7779PZ2cnI0eOpKamBpvN5ll/abFYCAsL83HvpbcoB+LW3SzMnDkTgGHDhhEbG+vj3ou39Ispau5dK+bNm0ddXR0HDx7EaDQSEhLC6NGjAfjggw+wWCyaQ+3nupqFoKAgz3obLRb2P8qBuAUFBREQEOC59peVlXl2yFu8eDE1NTUsX76cF154gYyMDF92VfqQciBuPcmCljAMPv1qvDYyMpLrrruO9evXk5OTg9FopKqqinXr1tHZ2cmDDz6oAmeQUBYElAP5invTiaamJiZNmgRAcHAwt912GydPniQuLk6jd4OAciBu3cmCljAMPgZXPypr3dv9Pf/880RFRWE2m8nKytKOJ4OQsiCgHMhXXC4XDoeDv/3tb+Tm5rJt2zbCwsK4++67tdXvIKIciJuyIN+nX43gGI1G2traaG5upry8nFtuuYWcnBxfd0t8QFkQUA7kKwaDgaNHj7Jr1y7Pc9H0vLPBRzkQN2VBvk+/GsEB2LBhAw0NDdx+++2eZ1nI4KQsCCgH8pUzZ86wY8cObrjhBmVhEFMOxE1ZkO/S7woc95QUEWVBQDkQERGR7ul3BY6IiIiIiEhP6baoiIiIiIj4DRU4IiIiIiLiN1TgiIiIiIiI31CBIyIiIiIifkMFjoiIiIiI+I1+9aBPERHxLw899BCNjY2YTCaMRiNJSUlMnz6dgoKCy7b/fv3113nzzTf5wx/+wPDhwwFYt24d69evBy5uF+5wOAgMDAQgNjaWP/7xj/zsZz8jKCjosjaLioq46aabvHSGIiLS36jAERGRPvX444+TlZWF3W6nvLycf/7zn1RVVbF48WIAXC4XO3fuJCwsjO3bt3sKnAULFrBgwQIAtm/fzocffsiyZcu+cfyVK1ditVq9d0IiItKvaYqaiIh4RUhICJMmTeLRRx+lpKSEEydOAFBRUUFDQwN33XUXe/bsweFw+LinIiIykKnAERERrxo+fDjR0dFUVlYCUFJSwpVXXkl+fj4ApaWlvuyeiIgMcJqiJiIiXhcdHc358+dpa2tj7969PPTQQ5jNZqZOnUpJSQlTpkzp8rEef/xxDAaD5+tHHnmEnJycvui2iIgMACpwRETE6xoaGggLC2P//v0YjUYmTpwIwLRp01i2bBnNzc0MGTKkS8dasWKF1uCIiIiHChwREfGqqqoqGhoaGD16NGvXrqW1tZUHH3zQ8++dnZ3s2rWLuXPn+rCXIiIyUKnAERERr7Db7VRUVLBmzRquvvpqwsLCOHToEE8++SSpqamen9u0aRMlJSUqcEREpEdU4IiISJ9asWIFJpMJg8FAUlIS8+bNo7CwkA0bNpCWlkZ2dvZlPz9nzhw2btzIiRMnSElJ+cHj//a3v73s65kzZ3LXXXf15imIiMgAYnC5XC5fd0JERERERKQ3aJtoERERERHxGypwRERERETEb6jAERERERERv6ECR0RERERE/IYKHBERERER8RsqcERERERExG+owBEREREREb+hAkdERERERPzG/wGBuWHEM9diFgAAAABJRU5ErkJggg==\n",
166 "text/plain": [
167 "<Figure size 1008x576 with 4 Axes>"
168 ]
169 },
170 "metadata": {},
171 "output_type": "display_data"
172 }
173 ],
174 "source": [
175 "ts = (industrial_production.to_frame('Original')\n",
176 " .assign(Trend=components.trend)\n",
177 " .assign(Seasonality=components.seasonal)\n",
178 " .assign(Residual=components.resid))\n",
179 "ts.plot(subplots=True, figsize=(14, 8));"
180 ]
181 },
182 {
183 "cell_type": "markdown",
184 "metadata": {},
185 "source": [
186 "## Time Series Stationarity"
187 ]
188 },
189 {
190 "cell_type": "markdown",
191 "metadata": {},
192 "source": [
193 "The statistical properties, such as the mean, variance, or autocorrelation, of a stationary time series are independent of the period, that is, they don't change over time. Hence, stationarity implies that a time series does not have a trend or seasonal effects and that descriptive statistics, such as the mean or the standard deviation, when computed for different rolling windows, are constant or do not change much over time. It reverts to its mean, and the deviations have constant amplitude, while short-term movements always look the same in the statistical sense.\n",
194 "\n",
195 "More formally, strict stationarity requires the joint distribution of any subset of time series observations to be independent of time with respect to all moments. So, in addition to the mean and variance, higher moments such as skew and kurtosis, also need to be constant, irrespective of the lag between different observations. In most applications, we limit stationarity to first and second moments so that the time series is covariance stationary with constant mean, variance, and autocorrelation. "
196 ]
197 },
198 {
199 "cell_type": "markdown",
200 "metadata": {},
201 "source": [
202 "Note that we specifically allow for dependence between observations at different lags, just like we want the input data for linear regression to be correlated with the outcome. Stationarity implies that these relationships are stable, which facilitates prediction as the model can focus on learning systematic patterns that take place within stable statistical properties. It is important because classical statistical models assume that the time series input data is stationary. "
203 ]
204 },
205 {
206 "cell_type": "markdown",
207 "metadata": {},
208 "source": [
209 "To satisfy the stationarity assumption of linear time series models, we need to transform the original time series, often in several steps. Common transformations include the application of the (natural) logarithm to convert an exponential growth pattern into a linear trend and stabilize the variance. Deflation implies dividing a time series by another series that causes trending behavior, for example dividing a nominal series by a price index to convert it into a real measure."
210 ]
211 },
212 {
213 "cell_type": "markdown",
214 "metadata": {},
215 "source": [
216 "### Log Transformation"
217 ]
218 },
219 {
220 "cell_type": "markdown",
221 "metadata": {},
222 "source": [
223 "Double check fo zero values"
224 ]
225 },
226 {
227 "cell_type": "code",
228 "execution_count": 7,
229 "metadata": {
230 "ExecuteTime": {
231 "end_time": "2018-10-31T19:28:12.299664Z",
232 "start_time": "2018-10-31T19:28:12.295286Z"
233 }
234 },
235 "outputs": [
236 {
237 "data": {
238 "text/plain": [
239 "(False, False)"
240 ]
241 },
242 "execution_count": 7,
243 "metadata": {},
244 "output_type": "execute_result"
245 }
246 ],
247 "source": [
248 "(nasdaq == 0).any(), (industrial_production==0).any()"
249 ]
250 },
251 {
252 "cell_type": "code",
253 "execution_count": 8,
254 "metadata": {
255 "ExecuteTime": {
256 "end_time": "2018-10-31T19:44:32.155440Z",
257 "start_time": "2018-10-31T19:44:32.153102Z"
258 }
259 },
260 "outputs": [],
261 "source": [
262 "nasdaq_log = np.log(nasdaq)\n",
263 "industrial_production_log = np.log(industrial_production)"
264 ]
265 },
266 {
267 "cell_type": "markdown",
268 "metadata": {},
269 "source": [
270 "### Differencing"
271 ]
272 },
273 {
274 "cell_type": "markdown",
275 "metadata": {},
276 "source": [
277 "In many cases, de-trending is not sufficient to make the series stationary. Instead, we need to transform the original data into a series of period-to-period and/or season-to-season differences. In other words, we use the result of subtracting neighboring data points or values at seasonal lags from each other. Note that when such differencing is applied to a log-transformed series, the results represent instantaneous growth rates or returns in a financial context. "
278 ]
279 },
280 {
281 "cell_type": "markdown",
282 "metadata": {},
283 "source": [
284 "If a univariate series becomes stationary after differencing d times, it is said to be integrated of the order of d, or simply integrated if d=1. This behavior is due to so-called unit roots."
285 ]
286 },
287 {
288 "cell_type": "markdown",
289 "metadata": {},
290 "source": [
291 "Differencing of log series produces instantaneous returns."
292 ]
293 },
294 {
295 "cell_type": "code",
296 "execution_count": 9,
297 "metadata": {
298 "ExecuteTime": {
299 "end_time": "2018-10-31T19:44:39.414868Z",
300 "start_time": "2018-10-31T19:44:39.410077Z"
301 }
302 },
303 "outputs": [],
304 "source": [
305 "nasdaq_log_diff = nasdaq_log.diff().dropna()\n",
306 "\n",
307 "# seasonal differencing => yoy instantanteous returns\n",
308 "industrial_production_log_diff = industrial_production_log.diff(12).dropna()"
309 ]
310 },
311 {
312 "cell_type": "markdown",
313 "metadata": {},
314 "source": [
315 "### Plot Series"
316 ]
317 },
318 {
319 "cell_type": "markdown",
320 "metadata": {},
321 "source": [
322 "The following chart shows time series for the NASDAQ stock index and industrial production for the 30 years through 2017 in original form, as well as the transformed versions after applying the logarithm and subsequently applying first and seasonal differences (at lag 12), respectively. The charts also display the ADF p-value, which allows us to reject the hypothesis of unit-root non-stationarity after all transformations in both cases:"
323 ]
324 },
325 {
326 "cell_type": "code",
327 "execution_count": 10,
328 "metadata": {
329 "ExecuteTime": {
330 "end_time": "2018-10-31T19:44:41.761423Z",
331 "start_time": "2018-10-31T19:44:40.267190Z"
332 }
333 },
334 "outputs": [
335 {
336 "data": {
337 "image/png": 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\n",
338 "text/plain": [
339 "<Figure size 1008x432 with 6 Axes>"
340 ]
341 },
342 "metadata": {},
343 "output_type": "display_data"
344 }
345 ],
346 "source": [
347 "fig, axes = plt.subplots(nrows=3, ncols=2, figsize=(14,6))\n",
348 "\n",
349 "nasdaq.plot(ax=axes[0][0], title='NASDAQ Composite Index')\n",
350 "axes[0][0].text(x=.03, y=.85, s=f'ADF: {tsa.adfuller(nasdaq.dropna())[1]:.4f}', transform=axes[0][0].transAxes)\n",
351 "axes[0][0].set_ylabel('Index')\n",
352 "\n",
353 "nasdaq_log.plot(ax=axes[1][0], sharex=axes[0][0])\n",
354 "axes[1][0].text(x=.03, y=.85, s=f'ADFl: {tsa.adfuller(nasdaq_log.dropna())[1]:.4f}', transform=axes[1][0].transAxes)\n",
355 "axes[1][0].set_ylabel('Log')\n",
356 "\n",
357 "nasdaq_log_diff.plot(ax=axes[2][0], sharex=axes[0][0])\n",
358 "axes[2][0].text(x=.03, y=.85, s=f'ADF: {tsa.adfuller(nasdaq_log_diff.dropna())[1]:.4f}', transform=axes[2][0].transAxes)\n",
359 "axes[2][0].set_ylabel('Log, Diff')\n",
360 "\n",
361 "industrial_production.plot(ax=axes[0][1], title='Industrial Production: Manufacturing')\n",
362 "axes[0][1].text(x=.03, y=.85, s=f'ADF: {tsa.adfuller(industrial_production)[1]:.4f}', transform=axes[0][1].transAxes)\n",
363 "axes[0][1].set_ylabel('Index')\n",
364 "\n",
365 "industrial_production_log.plot(ax=axes[1][1], sharex=axes[0][1])\n",
366 "axes[1][1].text(x=.03, y=.85, s=f'ADF: {tsa.adfuller(industrial_production_log.dropna())[1]:.4f}', transform=axes[1][1].transAxes)\n",
367 "axes[1][1].set_ylabel('Log')\n",
368 "\n",
369 "industrial_production_log_diff.plot(ax=axes[2][1], sharex=axes[0][1])\n",
370 "axes[2][1].text(x=.83, y=.85, s=f'ADF: {tsa.adfuller(industrial_production_log_diff.dropna())[1]:.4f}', transform=axes[2][1].transAxes)\n",
371 "axes[2][1].set_ylabel('Log, Seasonal Diff')\n",
372 "fig.tight_layout()\n",
373 "fig.align_ylabels(axes);"
374 ]
375 },
376 {
377 "cell_type": "markdown",
378 "metadata": {},
379 "source": [
380 "## Correlogram"
381 ]
382 },
383 {
384 "cell_type": "markdown",
385 "metadata": {},
386 "source": [
387 "Autocorrelation (also called serial correlation) adapts the concept of correlation to the time series context: just as the correlation coefficient measures the strength of a linear relationship between two variables, the autocorrelation coefficient, $\\rho_k$, measures the extent of a linear relationship between time series values separated by a given lag, $k$."
388 ]
389 },
390 {
391 "cell_type": "markdown",
392 "metadata": {},
393 "source": [
394 "Hence, we can calculate one autocorrelation coefficient for each of the T-1 lags in a time series; T is the length of the series. The autocorrelation function (ACF) computes the correlation coefficients as a function of the lag.\n",
395 "The autocorrelation for a lag larger than 1 (that is, between observations more than one time step apart) reflects both the direct correlation between these observations and the indirect influence of the intervening data points. The partial autocorrelation removes this influence and only measures the linear dependence between data points at the given lag distance. The partial autocorrelation function (PACF) provides all the correlations that result once the effects of a correlation at shorter lags have been removed."
396 ]
397 },
398 {
399 "cell_type": "markdown",
400 "metadata": {},
401 "source": [
402 "There are algorithms that estimate the partial autocorrelation from the sample autocorrelation based on the exact theoretical relationship between the PACF and the ACF."
403 ]
404 },
405 {
406 "cell_type": "markdown",
407 "metadata": {},
408 "source": [
409 "A correlogram is simply a plot of the ACF or PACF for sequential lags, k=0,1,...,n. It allows us to inspect the correlation structure across lags at one glance. The main usage of correlograms is to detect any autocorrelation after the removal of the effects of deterministic trend or seasonality. Both the ACF and the PACF are key diagnostic tools for the design of linear time series models and we will review examples of ACF and PACF plots in the following section on time series transformations."
410 ]
411 },
412 {
413 "cell_type": "markdown",
414 "metadata": {},
415 "source": [
416 "### NASDAQ (log, diff)"
417 ]
418 },
419 {
420 "cell_type": "markdown",
421 "metadata": {},
422 "source": [
423 "We can further analyze the relevant time series characteristics for the transformed series using a Q-Q plot that compares the quantiles of the distribution of the time series observation to the quantiles of the normal distribution and the correlograms based on the ACF and PACF.\n",
424 "\n",
425 "For the NASDAQ plot, we notice that while there is no trend, the variance is not constant but rather shows clustered spikes around periods of market turmoil in the late 1980s, 2001, and 2008. The Q-Q plot highlights the fat tails of the distribution with extreme values more frequent than the normal distribution would suggest. The ACF and the PACF show similar patterns with autocorrelation at several lags appearing significant:"
426 ]
427 },
428 {
429 "cell_type": "code",
430 "execution_count": 11,
431 "metadata": {
432 "ExecuteTime": {
433 "end_time": "2018-10-31T19:48:09.965479Z",
434 "start_time": "2018-10-31T19:48:09.113790Z"
435 }
436 },
437 "outputs": [
438 {
439 "data": {
440 "image/png": 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\n",
441 "text/plain": [
442 "<Figure size 1008x576 with 4 Axes>"
443 ]
444 },
445 "metadata": {},
446 "output_type": "display_data"
447 }
448 ],
449 "source": [
450 "plot_correlogram(nasdaq_log_diff, lags=100, title='NASDAQ Composite (Log, Diff)')"
451 ]
452 },
453 {
454 "cell_type": "markdown",
455 "metadata": {},
456 "source": [
457 "### Industrial Production (log, seasonl diff)"
458 ]
459 },
460 {
461 "cell_type": "markdown",
462 "metadata": {},
463 "source": [
464 "For the monthly time series on industrial manufacturing production, we notice a large negative outlier following the 2008 crisis as well as the corresponding skew in the Q-Q plot. The autocorrelation is much higher than for the NASDAQ returns and declines smoothly. The PACF shows distinct positive autocorrelation patterns at lag 1 and 13, and significant negative coefficients at lags 3 and 4:"
465 ]
466 },
467 {
468 "cell_type": "code",
469 "execution_count": 12,
470 "metadata": {
471 "ExecuteTime": {
472 "end_time": "2018-10-31T19:48:15.648818Z",
473 "start_time": "2018-10-31T19:48:15.061920Z"
474 }
475 },
476 "outputs": [
477 {
478 "data": {
479 "image/png": 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\n",
480 "text/plain": [
481 "<Figure size 1008x576 with 4 Axes>"
482 ]
483 },
484 "metadata": {},
485 "output_type": "display_data"
486 }
487 ],
488 "source": [
489 "plot_correlogram(industrial_production_log_diff, title='Industrial Production (Seasonal Diff)')"
490 ]
491 },
492 {
493 "cell_type": "markdown",
494 "metadata": {},
495 "source": [
496 "## Univariate Time Series Models"
497 ]
498 },
499 {
500 "cell_type": "markdown",
501 "metadata": {},
502 "source": [
503 "### Autoregressive (AR) Model"
504 ]
505 },
506 {
507 "cell_type": "markdown",
508 "metadata": {},
509 "source": [
510 "Multiple linear-regression models expressed the variable of interest as a linear combination of predictors or input variables. Univariate time series models relate the value of the time series at the point in time of interest to a linear combination of lagged values of the series and possibly past disturbance terms.\n",
511 "While exponential smoothing models are based on a description of the trend and seasonality in the data, ARIMA models aim to describe the autocorrelations in the data. ARIMA(p, d, q) models require stationarity and leverage two building blocks:\n",
512 "- Autoregressive (AR) terms consisting of p-lagged values of the time series\n",
513 "- Moving average (MA) terms that contain q-lagged disturbances\n"
514 ]
515 },
516 {
517 "cell_type": "markdown",
518 "metadata": {},
519 "source": [
520 "Chapter 7 introduces the ARIMA building blocks, simple autoregressive (AR) and moving average (MA) models, and explains how to combine them in autoregressive moving-average (ARMA) models that may account for series integration as ARIMA models or include exogenous variables as AR(I)MAX models. \n",
521 "\n",
522 "Furthermore, we will illustrate how to include seasonal AR and MA terms to extend the toolbox to also include SARMAX models."
523 ]
524 },
525 {
526 "cell_type": "markdown",
527 "metadata": {},
528 "source": [
529 "### ARMA vs ARIMA"
530 ]
531 },
532 {
533 "cell_type": "markdown",
534 "metadata": {},
535 "source": [
536 "The ARMA model of the undifferenced series produces the same result as the ARIMA model of the differenced series."
537 ]
538 },
539 {
540 "cell_type": "code",
541 "execution_count": 13,
542 "metadata": {
543 "ExecuteTime": {
544 "end_time": "2018-10-31T19:56:11.129684Z",
545 "start_time": "2018-10-31T19:56:08.104343Z"
546 },
547 "scrolled": false
548 },
549 "outputs": [],
550 "source": [
551 "model1 = tsa.ARMA(endog=nasdaq_log_diff, order=(2,2)).fit()\n",
552 "model2 = tsa.ARIMA(endog=nasdaq_log, order=(2,1,2)).fit()"
553 ]
554 },
555 {
556 "cell_type": "code",
557 "execution_count": 14,
558 "metadata": {
559 "ExecuteTime": {
560 "end_time": "2018-10-31T19:56:11.135988Z",
561 "start_time": "2018-10-31T19:56:11.131310Z"
562 }
563 },
564 "outputs": [
565 {
566 "data": {
567 "text/plain": [
568 "ar.L1.NASDAQCOM True\n",
569 "ar.L2.NASDAQCOM True\n",
570 "const True\n",
571 "ma.L1.NASDAQCOM True\n",
572 "ma.L2.NASDAQCOM True\n",
573 "dtype: bool"
574 ]
575 },
576 "execution_count": 14,
577 "metadata": {},
578 "output_type": "execute_result"
579 }
580 ],
581 "source": [
582 "model1.params.sort_index() == model2.params.sort_index().values"
583 ]
584 },
585 {
586 "cell_type": "markdown",
587 "metadata": {},
588 "source": [
589 "### Seasonal differencing vs SARIMAX"
590 ]
591 },
592 {
593 "cell_type": "markdown",
594 "metadata": {},
595 "source": [
596 "Seasonal differencing has same effect as using SARIMAX w seasonal order (0,1,0,12)."
597 ]
598 },
599 {
600 "cell_type": "code",
601 "execution_count": 15,
602 "metadata": {
603 "ExecuteTime": {
604 "end_time": "2018-10-31T19:56:11.543994Z",
605 "start_time": "2018-10-31T19:56:11.137417Z"
606 }
607 },
608 "outputs": [],
609 "source": [
610 "model1 = tsa.statespace.SARIMAX(industrial_production_log, order=(2,0,2), seasonal_order=(0,1,0,12)).fit()\n",
611 "model2 = tsa.statespace.SARIMAX(industrial_production_log_diff, order=(2,0,2), seasonal_order=(0,0,0,12)).fit()"
612 ]
613 },
614 {
615 "cell_type": "code",
616 "execution_count": 16,
617 "metadata": {
618 "ExecuteTime": {
619 "end_time": "2018-10-31T19:56:11.553486Z",
620 "start_time": "2018-10-31T19:56:11.545874Z"
621 }
622 },
623 "outputs": [
624 {
625 "data": {
626 "text/html": [
627 "<div>\n",
628 "<style scoped>\n",
629 " .dataframe tbody tr th:only-of-type {\n",
630 " vertical-align: middle;\n",
631 " }\n",
632 "\n",
633 " .dataframe tbody tr th {\n",
634 " vertical-align: top;\n",
635 " }\n",
636 "\n",
637 " .dataframe thead th {\n",
638 " text-align: right;\n",
639 " }\n",
640 "</style>\n",
641 "<table border=\"1\" class=\"dataframe\">\n",
642 " <thead>\n",
643 " <tr style=\"text-align: right;\">\n",
644 " <th></th>\n",
645 " <th>SARIMAX</th>\n",
646 " <th>diff</th>\n",
647 " </tr>\n",
648 " </thead>\n",
649 " <tbody>\n",
650 " <tr>\n",
651 " <th>ar.L1</th>\n",
652 " <td>1.761975</td>\n",
653 " <td>1.765978</td>\n",
654 " </tr>\n",
655 " <tr>\n",
656 " <th>ar.L2</th>\n",
657 " <td>-0.784200</td>\n",
658 " <td>-0.788255</td>\n",
659 " </tr>\n",
660 " <tr>\n",
661 " <th>ma.L1</th>\n",
662 " <td>-0.841204</td>\n",
663 " <td>-0.859608</td>\n",
664 " </tr>\n",
665 " <tr>\n",
666 " <th>ma.L2</th>\n",
667 " <td>0.313330</td>\n",
668 " <td>0.353158</td>\n",
669 " </tr>\n",
670 " <tr>\n",
671 " <th>sigma2</th>\n",
672 " <td>0.000101</td>\n",
673 " <td>0.000101</td>\n",
674 " </tr>\n",
675 " </tbody>\n",
676 "</table>\n",
677 "</div>"
678 ],
679 "text/plain": [
680 " SARIMAX diff\n",
681 "ar.L1 1.761975 1.765978\n",
682 "ar.L2 -0.784200 -0.788255\n",
683 "ma.L1 -0.841204 -0.859608\n",
684 "ma.L2 0.313330 0.353158\n",
685 "sigma2 0.000101 0.000101"
686 ]
687 },
688 "execution_count": 16,
689 "metadata": {},
690 "output_type": "execute_result"
691 }
692 ],
693 "source": [
694 "model1.params.to_frame('SARIMAX').join(model2.params.to_frame('diff'))"
695 ]
696 },
697 {
698 "cell_type": "markdown",
699 "metadata": {},
700 "source": [
701 "## Finding the optimal ARMA lags"
702 ]
703 },
704 {
705 "cell_type": "markdown",
706 "metadata": {},
707 "source": [
708 "### Run candidate models"
709 ]
710 },
711 {
712 "cell_type": "markdown",
713 "metadata": {},
714 "source": [
715 "We iterate over various (p, q) lag combinations and collect diagnostic statistics to compare the result."
716 ]
717 },
718 {
719 "cell_type": "code",
720 "execution_count": 18,
721 "metadata": {
722 "ExecuteTime": {
723 "end_time": "2018-10-31T20:11:34.946378Z",
724 "start_time": "2018-10-31T19:56:11.555667Z"
725 }
726 },
727 "outputs": [
728 {
729 "name": "stdout",
730 "output_type": "stream",
731 "text": [
732 "0 1\n",
733 "0 2\n",
734 "0 3\n",
735 "0 4\n",
736 "1 0\n",
737 "1 1\n",
738 "1 2\n",
739 "1 3\n",
740 "1 4\n",
741 "2 0\n",
742 "2 1\n",
743 "2 2\n",
744 "2 3\n",
745 "2 4\n",
746 "3 0\n",
747 "3 1\n",
748 "3 2\n",
749 "3 3\n",
750 "3 4\n",
751 "4 0\n",
752 "4 1\n",
753 "4 2\n",
754 "4 3\n",
755 "4 4\n"
756 ]
757 }
758 ],
759 "source": [
760 "train_size = 120\n",
761 "test_results = {}\n",
762 "y_true = industrial_production_log_diff.iloc[train_size:]\n",
763 "for p in range(5):\n",
764 " for q in range(5):\n",
765 " aic, bic = [], []\n",
766 " if p == 0 and q == 0:\n",
767 " continue\n",
768 " print(p, q)\n",
769 " convergence_error = stationarity_error = 0\n",
770 " y_pred = []\n",
771 " for T in range(train_size, len(industrial_production_log_diff)):\n",
772 " train_set = industrial_production_log_diff.iloc[T-train_size:T]\n",
773 " try:\n",
774 " model = tsa.ARMA(endog=train_set, order=(p, q)).fit()\n",
775 " except LinAlgError:\n",
776 " convergence_error += 1\n",
777 " except ValueError:\n",
778 " stationarity_error += 1\n",
779 "\n",
780 " forecast, _, _ = model.forecast(steps=1)\n",
781 " y_pred.append(forecast[0])\n",
782 " aic.append(model.aic)\n",
783 " bic.append(model.bic)\n",
784 "\n",
785 " result = (pd.DataFrame({'y_true': y_true, 'y_pred': y_pred})\n",
786 " .replace(np.inf, np.nan)\n",
787 " .dropna())\n",
788 "\n",
789 " rmse = np.sqrt(mean_squared_error(\n",
790 " y_true=result.y_true, y_pred=result.y_pred))\n",
791 "\n",
792 " test_results[(p, q)] = [rmse,\n",
793 " np.mean(aic),\n",
794 " np.mean(bic),\n",
795 " convergence_error,\n",
796 " stationarity_error]"
797 ]
798 },
799 {
800 "cell_type": "code",
801 "execution_count": 19,
802 "metadata": {
803 "ExecuteTime": {
804 "end_time": "2018-10-31T20:11:34.959249Z",
805 "start_time": "2018-10-31T20:11:34.949947Z"
806 }
807 },
808 "outputs": [
809 {
810 "name": "stdout",
811 "output_type": "stream",
812 "text": [
813 "<class 'pandas.core.frame.DataFrame'>\n",
814 "MultiIndex: 24 entries, (0, 1) to (4, 4)\n",
815 "Data columns (total 5 columns):\n",
816 "RMSE 24 non-null float64\n",
817 "AIC 19 non-null float64\n",
818 "BIC 19 non-null float64\n",
819 "convergence 24 non-null float64\n",
820 "stationarity 24 non-null float64\n",
821 "dtypes: float64(5)\n",
822 "memory usage: 1.2 KB\n"
823 ]
824 }
825 ],
826 "source": [
827 "test_results = pd.DataFrame(test_results).T\n",
828 "test_results.columns = ['RMSE', 'AIC', 'BIC', 'convergence', 'stationarity']\n",
829 "test_results.index.names = ['p', 'q']\n",
830 "test_results.info()"
831 ]
832 },
833 {
834 "cell_type": "code",
835 "execution_count": 20,
836 "metadata": {
837 "ExecuteTime": {
838 "end_time": "2018-10-31T20:11:35.080258Z",
839 "start_time": "2018-10-31T20:11:35.069232Z"
840 }
841 },
842 "outputs": [
843 {
844 "data": {
845 "text/html": [
846 "<div>\n",
847 "<style scoped>\n",
848 " .dataframe tbody tr th:only-of-type {\n",
849 " vertical-align: middle;\n",
850 " }\n",
851 "\n",
852 " .dataframe tbody tr th {\n",
853 " vertical-align: top;\n",
854 " }\n",
855 "\n",
856 " .dataframe thead th {\n",
857 " text-align: right;\n",
858 " }\n",
859 "</style>\n",
860 "<table border=\"1\" class=\"dataframe\">\n",
861 " <thead>\n",
862 " <tr style=\"text-align: right;\">\n",
863 " <th></th>\n",
864 " <th></th>\n",
865 " <th>RMSE</th>\n",
866 " <th>AIC</th>\n",
867 " <th>BIC</th>\n",
868 " <th>convergence</th>\n",
869 " <th>stationarity</th>\n",
870 " </tr>\n",
871 " <tr>\n",
872 " <th>p</th>\n",
873 " <th>q</th>\n",
874 " <th></th>\n",
875 " <th></th>\n",
876 " <th></th>\n",
877 " <th></th>\n",
878 " <th></th>\n",
879 " </tr>\n",
880 " </thead>\n",
881 " <tbody>\n",
882 " <tr>\n",
883 " <th rowspan=\"4\" valign=\"top\">0</th>\n",
884 " <th>1</th>\n",
885 " <td>0.030183</td>\n",
886 " <td>-530.769444</td>\n",
887 " <td>-522.406969</td>\n",
888 " <td>0.0</td>\n",
889 " <td>0.0</td>\n",
890 " </tr>\n",
891 " <tr>\n",
892 " <th>2</th>\n",
893 " <td>0.105961</td>\n",
894 " <td>-598.705151</td>\n",
895 " <td>-587.555184</td>\n",
896 " <td>0.0</td>\n",
897 " <td>107.0</td>\n",
898 " </tr>\n",
899 " <tr>\n",
900 " <th>3</th>\n",
901 " <td>0.031667</td>\n",
902 " <td>-649.864725</td>\n",
903 " <td>-635.927266</td>\n",
904 " <td>0.0</td>\n",
905 " <td>93.0</td>\n",
906 " </tr>\n",
907 " <tr>\n",
908 " <th>4</th>\n",
909 " <td>0.018419</td>\n",
910 " <td>-682.530641</td>\n",
911 " <td>-665.805690</td>\n",
912 " <td>0.0</td>\n",
913 " <td>93.0</td>\n",
914 " </tr>\n",
915 " <tr>\n",
916 " <th rowspan=\"5\" valign=\"top\">1</th>\n",
917 " <th>0</th>\n",
918 " <td>0.011551</td>\n",
919 " <td>-727.389093</td>\n",
920 " <td>-719.026618</td>\n",
921 " <td>0.0</td>\n",
922 " <td>0.0</td>\n",
923 " </tr>\n",
924 " <tr>\n",
925 " <th>1</th>\n",
926 " <td>0.029556</td>\n",
927 " <td>-732.051839</td>\n",
928 " <td>-720.901872</td>\n",
929 " <td>0.0</td>\n",
930 " <td>16.0</td>\n",
931 " </tr>\n",
932 " <tr>\n",
933 " <th>2</th>\n",
934 " <td>0.021869</td>\n",
935 " <td>-743.997434</td>\n",
936 " <td>-730.059975</td>\n",
937 " <td>0.0</td>\n",
938 " <td>10.0</td>\n",
939 " </tr>\n",
940 " <tr>\n",
941 " <th>3</th>\n",
942 " <td>0.018212</td>\n",
943 " <td>-747.753733</td>\n",
944 " <td>-731.028783</td>\n",
945 " <td>0.0</td>\n",
946 " <td>8.0</td>\n",
947 " </tr>\n",
948 " <tr>\n",
949 " <th>4</th>\n",
950 " <td>0.018165</td>\n",
951 " <td>-753.080599</td>\n",
952 " <td>-733.568157</td>\n",
953 " <td>0.0</td>\n",
954 " <td>8.0</td>\n",
955 " </tr>\n",
956 " <tr>\n",
957 " <th rowspan=\"4\" valign=\"top\">2</th>\n",
958 " <th>0</th>\n",
959 " <td>0.012655</td>\n",
960 " <td>-734.103589</td>\n",
961 " <td>-722.953622</td>\n",
962 " <td>6.0</td>\n",
963 " <td>0.0</td>\n",
964 " </tr>\n",
965 " <tr>\n",
966 " <th>2</th>\n",
967 " <td>0.012650</td>\n",
968 " <td>-758.483844</td>\n",
969 " <td>-741.758894</td>\n",
970 " <td>2.0</td>\n",
971 " <td>4.0</td>\n",
972 " </tr>\n",
973 " <tr>\n",
974 " <th>3</th>\n",
975 " <td>0.013529</td>\n",
976 " <td>-760.086676</td>\n",
977 " <td>-740.574233</td>\n",
978 " <td>6.0</td>\n",
979 " <td>3.0</td>\n",
980 " </tr>\n",
981 " <tr>\n",
982 " <th>4</th>\n",
983 " <td>0.048993</td>\n",
984 " <td>-759.455313</td>\n",
985 " <td>-737.155379</td>\n",
986 " <td>3.0</td>\n",
987 " <td>24.0</td>\n",
988 " </tr>\n",
989 " <tr>\n",
990 " <th rowspan=\"3\" valign=\"top\">3</th>\n",
991 " <th>0</th>\n",
992 " <td>0.012272</td>\n",
993 " <td>-747.431400</td>\n",
994 " <td>-733.493941</td>\n",
995 " <td>4.0</td>\n",
996 " <td>0.0</td>\n",
997 " </tr>\n",
998 " <tr>\n",
999 " <th>1</th>\n",
1000 " <td>0.012567</td>\n",
1001 " <td>-754.539592</td>\n",
1002 " <td>-737.814642</td>\n",
1003 " <td>3.0</td>\n",
1004 " <td>5.0</td>\n",
1005 " </tr>\n",
1006 " <tr>\n",
1007 " <th>4</th>\n",
1008 " <td>0.043029</td>\n",
1009 " <td>-762.632697</td>\n",
1010 " <td>-737.545272</td>\n",
1011 " <td>1.0</td>\n",
1012 " <td>57.0</td>\n",
1013 " </tr>\n",
1014 " <tr>\n",
1015 " <th rowspan=\"3\" valign=\"top\">4</th>\n",
1016 " <th>0</th>\n",
1017 " <td>0.010092</td>\n",
1018 " <td>-758.665355</td>\n",
1019 " <td>-741.940405</td>\n",
1020 " <td>0.0</td>\n",
1021 " <td>0.0</td>\n",
1022 " </tr>\n",
1023 " <tr>\n",
1024 " <th>1</th>\n",
1025 " <td>0.011080</td>\n",
1026 " <td>-759.107983</td>\n",
1027 " <td>-739.595541</td>\n",
1028 " <td>1.0</td>\n",
1029 " <td>2.0</td>\n",
1030 " </tr>\n",
1031 " <tr>\n",
1032 " <th>2</th>\n",
1033 " <td>0.016428</td>\n",
1034 " <td>-759.451378</td>\n",
1035 " <td>-737.151444</td>\n",
1036 " <td>7.0</td>\n",
1037 " <td>4.0</td>\n",
1038 " </tr>\n",
1039 " </tbody>\n",
1040 "</table>\n",
1041 "</div>"
1042 ],
1043 "text/plain": [
1044 " RMSE AIC BIC convergence stationarity\n",
1045 "p q \n",
1046 "0 1 0.030183 -530.769444 -522.406969 0.0 0.0\n",
1047 " 2 0.105961 -598.705151 -587.555184 0.0 107.0\n",
1048 " 3 0.031667 -649.864725 -635.927266 0.0 93.0\n",
1049 " 4 0.018419 -682.530641 -665.805690 0.0 93.0\n",
1050 "1 0 0.011551 -727.389093 -719.026618 0.0 0.0\n",
1051 " 1 0.029556 -732.051839 -720.901872 0.0 16.0\n",
1052 " 2 0.021869 -743.997434 -730.059975 0.0 10.0\n",
1053 " 3 0.018212 -747.753733 -731.028783 0.0 8.0\n",
1054 " 4 0.018165 -753.080599 -733.568157 0.0 8.0\n",
1055 "2 0 0.012655 -734.103589 -722.953622 6.0 0.0\n",
1056 " 2 0.012650 -758.483844 -741.758894 2.0 4.0\n",
1057 " 3 0.013529 -760.086676 -740.574233 6.0 3.0\n",
1058 " 4 0.048993 -759.455313 -737.155379 3.0 24.0\n",
1059 "3 0 0.012272 -747.431400 -733.493941 4.0 0.0\n",
1060 " 1 0.012567 -754.539592 -737.814642 3.0 5.0\n",
1061 " 4 0.043029 -762.632697 -737.545272 1.0 57.0\n",
1062 "4 0 0.010092 -758.665355 -741.940405 0.0 0.0\n",
1063 " 1 0.011080 -759.107983 -739.595541 1.0 2.0\n",
1064 " 2 0.016428 -759.451378 -737.151444 7.0 4.0"
1065 ]
1066 },
1067 "execution_count": 20,
1068 "metadata": {},
1069 "output_type": "execute_result"
1070 }
1071 ],
1072 "source": [
1073 "test_results.dropna()"
1074 ]
1075 },
1076 {
1077 "cell_type": "markdown",
1078 "metadata": {},
1079 "source": [
1080 "We aim to minimize RMSE:"
1081 ]
1082 },
1083 {
1084 "cell_type": "code",
1085 "execution_count": 23,
1086 "metadata": {
1087 "ExecuteTime": {
1088 "end_time": "2018-10-31T20:11:35.239079Z",
1089 "start_time": "2018-10-31T20:11:35.081311Z"
1090 }
1091 },
1092 "outputs": [
1093 {
1094 "data": {
1095 "image/png": 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FzGqZecXkFFzG3UV3Uh9z6OXfgdT0PM5l5FfkFHuUUff567RJyyogMTWryndQq4VmdjbY2apoZmuDjY2K7HzLuNGpqeal0Rr+Mgez9rh//vlnBg8e3Oj78WjtQnrWjTuh1NmF9L7Lu97bCe7eETtbFWfSc+tubGIe7i1Iz7nxpVfnFNO7a/sq7aaNDmDmI8HY2SoZMXeTKUM0mEdrJ9Kziyrfq3Mu0rubV43tJ4UGsTPudJXPg7t5Ymej4oy69rmNTcGjdUvdnLKL6N3dsLtnf0tMY0/CGc5Gv45CoWDN1v2c/DOn7hVNoKnmZamdmr+Ztce9efNmk+ynuhkS63unfzv3lqz7VxjT3vi83uuaQnWTQFYX5kfRh+k+6T8sWLuH8Cf6NXpct0JRTTY1/SA9OrwHgV09eO+LvTqft3NrwboFjzDtna8s4nhVN02noWH5eLlxp3cb/Ma+g++YtxkU5MuAnp2NHOGtaap5aTSGv8yh0Xvcc+bMqfZzrVZLUVFRtcug6hy3DaHOLsSr3Y35BDzbuJCRc9Hg9Z2a27NtxTTeXB3DwWPnjBKTsalzL+HV2qnyvWdrJzLyL9XYfvMvSayYOQz4zgTR1Y865yJefw19AHi2bklGbtU/oQcH+TAv7H6Gv/RfrpeWV37u5NiMbUuf5M3//MjBE+kmibku6uwi3ZzaOJORa9h3cOz93Tl4PI3LJRVDXTvjTtGnewf2HTnbKLHWR1PNS3O797iLiop48cUXmTdvXpWXk5NTjeuFhIQQERFBRETDJ4yJP56GX4fWeHu0wtZGxYQHAonZfcygdW1tVGyKnMznMYfYFnukwbE0lviTmfh5uuLdzhlbGyUT7u9KzIEUnTa+Hjd+eT3Yx5cUCxhCqE58sho/r1Z4t3epOF5D7yZmb7JOm3vuaMcHc8cw/rWN5BRervzc1kbFprcf4/Pvj7Ltl+OmDr1G8Unp+HVww7u9a0VOIfcQ8+sJg9Y9n1XIwIDOqFRKbFRKBgZ0JtlChhSaal6N8QQcY2r0HndgYCBXr16lU6dOVZb5+/tXXaERlJdrmL1kK9GrZqBSKtnwbRxJZ7JYOH0kCSfSiNmTSJB/RzZFTsGlpQMj77uLBdMfJGjCOzwyPIB7A/xo5dycJ0f3BmDqoo38cUptktgNVa7RMvuDWKLfHl+R485jJP2Zx8KnBpBwKouYuFSeHxvI4ABvSss1FBZf5bllO8wddrXKyzXMfi+G6MinKnKJSSDpXA4LJw8hIVlNzL6TvD3jAZo72LHxrX8AcP5CERNe+5xHhnTn3nu8adXSgScf7AnA1Le/4o+UrNp22ejKyzXMjvyW6KhnK3LaHk/S2WwWPjeMhKR0YvYmEdTNi00RYbg4OTDy3q4smDKMoCfeY9vPx7g/2Jf4z2ah1Wr5Ie4UO/YmmTWfvzXVvCx9jFumdTUXmdbVesi0rlbFGNO6Rh+7YHDb0Xe3bfD+6uu2uI5bCCHqw9LHuKVwCyGEHnNdn20oKdxCCKHH0keQpXALIYQeM12ebTAp3EIIoUd63EIIYWUsu2xL4RZCiCrkQQpCCGFlZKhECCGsjIXXbSncQgihz8LrthRuIYTQp7HwLrcUbiGE0GPZZVsKtxBCVCFXlQghhJWx8LothVsIIfTJGLcQQlgZC6/bUriFEEKf9LiNobrHtFu5gh1zzR1Co3Dt87K5QzA+RaM/mtUs7LoEmjsEi1Vu4dMDWkfhFkIIE5In4AghhJWx8JESKdxCCKHPmI8uW716NQkJCTg7OxMZGVll+fHjx1m6dClt2rQBoE+fPowfP77WbUrhFkIIPcY8OTlo0CBGjBjBqlWramzTrVs3wsPDDd5m0zzrIoQQDaDVGv6qi7+/Py1atDBqfNLjFkIIPeUmfsz7qVOnmDt3Lq6uroSFhdGhQ4da20vhFkIIPfWp27GxscTGxla+DwkJISQkxOD1O3fuzOrVq7G3tychIYFly5axcuXKWteRwi2EEHrqU7jrW6j1OTo6Vv47MDCQdevWcfHiRVq2bFnjOjLGLYQQerT1+K+hCgsLKx+VlpKSgkajwcnJqdZ1pMcthBB6jDnEHRUVxYkTJyguLmb69OlMnDiRsrIyAIYPH05cXBy7du1CpVJhZ2fHrFmzUNRxt7gUbiGE0GPMG3BmzZpV6/IRI0YwYsSIem1TCrcQQugpM/FVJfUlhVsIIfTILe9CCGFlZFpXIYSwMhZet6VwCyGEPgufjvv2uo57WL+uHP1yPolfL2DOpKoXzA8I8GX/xjkU//YuDw29p/Lzju1c2ffZHOI+n8vvm8OZ8sgAU4ZtkKzMTCZPCmPc6Ad5aEwoGz/dUG27Qwd/Y+LDY3loTCjPPv2kiaM0XFM8VhU5vUbiV/OZ8/TQKssHBPiw/7NXKY5brpPT35yaNyN1xyLe+7+HTRGuwYb28CB++RgOvzuW2aO719hubO+OFH0eRkDnVgDYqpSsmtaP/RGj2PtOKPd2a2uqkOtUrtEa/DKH26bHrVQqiAqfQOiM1agvFLL301fZvvsYyWcvVLY5n1XA1EWfMytssM66mbkXGfzMe1wvLae5gx2/bw4nZvcxMnMvmjqNGqlsVMz5v3C6+Xfn8uVLPDrhEfr2G4Cvn19lm4sXL/L2v95k9Udrae/hQV5enhkjrllTPFZKpYKoeY8Q+sKaipw+mc32PYlVc3qjak5/WzR9JL8mpJoqZIMoFQoin+nNuHdiUedd4ef/9yA7EtI5qS7SadfC3oZpD3Tl0Omcys+eHlLx3ewfvh33lvZ8OW8IgxbssIhhCgu/qOT26XH36u5N6vkczqnzKC0rZ8uuBEYNulunTVpmPokpGVVOTJSWlXO9tByAZnY2KJWW97+tdes2dPOv6O00b94CHx8fsrMv6LT5LiaaoSHDaO/hAYCbm5vJ4zREUzxWvbp3JPV87k05HWbU/XfptEnLLCAxJRNNNVUjoKsXbdxaEBt30lQhGyTIz40zF4o5l32J0nIN2w78SWhQ1QmSXp/QkxXbj3P1r2MD0NXThd2JWQDkXrxK0eXrBPhYxndSq9Ua/DIHk3yr1Wo1x44d4+rVqzqfHzlyxBS7B8CjjTPpFwpvxHShEM/Wzgav79XWhYP/m8fpHW8SuT7W7D242qjV6SQnJXF3D90/t/88d46LFy8yeVIYj054mOhvvjZThLVrisfKo42Lbk7ZRXi2MSwnhUJBxOyxzF8R3Vjh3TIPV0fUeZcr36vzL9O+lYNOmx7erni5ObLzsFrn88S0AkKDO6BSKvBu3YJ7Orvh1aq5SeKui0Zr+MscDB4qKSsr48svv2Tfvn0UFBTg6upK//79efjhh7Gzs6txvR07drBz5048PT1Zs2YNkyZNolevXgB88cUX9OzZs+FZGKC6W0jr88sy/UIhvR9dQnv3lmyOnMJXPx4lO7/YiBEax5XLl3l11kzmhs+vMgdwWXk5J04c59/r1nPt2lWeevxR7r7nHjp16mymaKvXFI9VdTcwG5rTtAkD2LkvSafwW4rq7sy+OS+FAt4OC2bGmv1V2n36SwpdPJz55f+N5HzuZQ6ezqFMYxmnBS19qMTgwv2f//yHjIwMnnnmGVq3bk1OTg5ff/01a9euZcaMGTWu9+OPP7JkyRLs7e3Jzs7m3XffJScnh5EjR9b6Z4b+VIkNpb5QiFdbl8r3nm1dyMgtqmWN6mXmXuTEmSwGBPjw1Y9HjRafMZSWlvLKrJmMDB1NyLDhVZa3bdsOV1dXHB0dcXR0JDA4mFMnky2ucDfFY6XO1supjTMZOYbl1OfuTgwI8GHq+AE0d7TDzsaGS1eus/CD7Y0VrsHU+VfwdLvRS/Zs1ZysgpLK9072tvh3cGH7worvY1tnB76YM5jHlv/M4bP5zP8svrLtrjceIDXLMjpD5hoCMZTBhfvQoUO8//77NG9ecZC8vLy44447eOmll2pdT6PRYG9vD0CbNm144403iIyMJCcnp9b/OTdPlbjih5cNDbNG8SfS8OvQGm+PVmRkFzFheCCTXv/EoHU92ziTV3SFq9dKcXFyoN89nVm58ecGx2RMWq2WN/75Oj4+Pjw16Zlq2wweMpR3Fr9FWVkZpaWlHPvjD558apJpAzVAUzxW8SfO6+UUwKQFnxm07jMLb7R7clQvgvw7WETRBkhIzcO3nRPerVuQkX+Fh/t5M+WDvZXLL5aU4jNtS+X77QuGsXDj7xw+m4+DnQqFQsGVa2UMvqs9ZeXaKic1zaW8qRRuFxcXrl27Vlm4Aa5fv46rq2ud6507d45OnToBYG9vT3h4OB9++CFpaWm3FvUtKC/XMHvpl0R/8DwqlZIN38SRdCaLhdMfJOHEeWL2JBLk35FNyyfj0tKBkQPvYsG0BwmaGMGdndsRMXscWq0WhUJB1Kc/cTwl02SxG+Jwwu9s//Yb7ujShYkPjwXgpVmvkJmZAcDEfzyGj68vA+4dyISHxqBQKnn4kfHccUcXc4ZdraZ4rMrLNcxe9iXR70+ryOnb3ypymjaChKTzxOw5TpB/BzYte/avnLqzYOoIgv6xxNyh16pco2XO+oNsCx+KSqngs19SSFYXMX/8PRw+k8d3Cek1rtu6pT3bwoei0UJmwRWmfbjPhJHXzsLrNgqtgX8TfP311+zdu5cRI0bg5uZGXl4eO3fuZMCAAfjddMnZXXfpninPy8tDpVLh4uKiv0mSk5Pp2rVrnft2CGp4j9vSFPy2wtwhNArXPk3vWKGwjCtTjM2uS6C5Q2gURZ+HNXgb07YeN7jtR+Nrvna9sRjc4/7hhx8A+Oqrr6p8/vcyhULBBx98oLO8tkvODCnaQghhapbe4za4cNf2aHkhhGhKmszJSSGEuF1YeN2Wwi2EEPqazFUlQghxu5ChEiGEsDJN5s5JIYS4XUiPWwghrIyF120p3EIIoc9cD0gwlBRuIYTQI0MlQghhZSy7bEvhFkKIKvSfrGRppHALIYQeC6/bUriFEEKfjHELIYSVkatKhBDCylh4h1sKtxBC6JOhElGtJvmkGACVrbkjML6y6+aOoFGUXS8zdwgWy8JHSqRwCyGEPq2FX8kthVsIIfRY+EiJFG4hhNAnV5UIIYSVkZOTQghhZYxZt1evXk1CQgLOzs5ERkZWsy8tH3/8MYcPH6ZZs2bMmDEDHx+fWrepNF54QgjRNGi0WoNfdRk0aBDz58+vcfnhw4fJyspi5cqVTJ06lbVr19a5TSncQgihR6s1/FUXf39/WrRoUePy+Ph47rvvPhQKBV26dOHy5csUFBTUuk0ZKhFCCD2aepycjI2NJTY2tvJ9SEgIISEhBq+fn5+Pu7t75Xs3Nzfy8/NxdXWtcR0p3EIIoac+JyfrW6gN2ZdCoah1HSncQgihx5QXlbi5uZGbm1v5Pi8vr9beNsgYtxBCVKHVag1+NVRwcDB79uxBq9Vy6tQpHB0d6yzc0uMWQgg9xryOOyoqihMnTlBcXMz06dOZOHEiZWUV88QMHz6cgIAAEhISmDlzJnZ2dsyYMaPObUrhFkIIPcYcKpk1a1atyxUKBVOmTKnXNqVwCyGEnvpcVWIOUriFEEKP3PIuhBBWxsLrthRuIYTQZ+k97tvmcsBh/bpy9Mv5JH69gDmTql4sPyDAl/0b51D827s8NPSeys97dPHkl49n8fvmcA7+bx7jhwWYMuw63WpeHdu5su+zOcR9PpffN4cz5ZEBpgy7TsP63snRLf9H4pfhzHlqcJXlAwJ82P/JLIr3L+GhIT10ll06sJS4z2YT99lstix/xlQh12lY/24c3fY6id8srP5YBfqyf+Ncig++x0NDe+os++aD58ncHcGXK6aaKlyDDevpyeEVD/PH+4/w6ri7a2w3rq83l7c+Q4CvGwBBfu4cWDaGA8vGELd8LKN7dzRVyHUy5i3vjeG26HErlQqiwicQOmM16guF7P30VbbvPkby2QuVbc5nFTB10efMCtMtEleuXmfyPzeSej6H9u4t2bdxDj8cSKboUomp06iiIXll5l5k8DPvcb20nOYOdvy+OZyY3cfIzL1o6jSqUCoVRP3fQ4S++G/U2UXs3fAy2389UTWvtzYx68n7q6xfcq2Uvk++Z8qQ66RUKoiaN4HQGasqjtXu41odAAAT6UlEQVRnc9i+O5Hks1mVbc5nFjD1jY3MChtSZf33PvkRR3s7Jj/S35Rh10mpVPDulL6Mfmsn6vwr/Boxmpj4NJLTi3TatbC34fmR/hw8lV352Ym0Au6dF025Rks7FwfiIseyI/68RcyFbeknJ03S405JSSElJQWA9PR0tm/fTkJCgil2DUCv7t6kns/hnDqP0rJytuxKYNQg3Z5BWmY+iSkZVWb7SknLIfV8DlBR7HLyL+HuWvOEMabUkLxKy8q5XloOQDM7G5RKy/njq1f3jqSm53EuI/+vvI4w6r7uOm3SMgtITMm0+B+wv/W6y5vU9JuO1c4ajtXpjGpz+uXgKYovXzVVuAYL9nPnTFYx57IvUVqmYeu+M4zqVbXn/M9HA3nvm2Nc/es7B1ByvbyySDezU1nUuLIpb8C5FY3e496yZQtHjhyhvLycHj16cPr0abp3784333zDuXPnePjhhxs7BDzaOJN+obDyvfpCIb3v8q73doK7d8TOVsWZ9Ny6G5tAQ/PyauvCthXT8O3gzvyobyyitw3g0Vovr+xCenc3PC97Oxv2bniZ8jINyz/5iejdxxsjzHrxaO1CepZeTrfwHbQ0Hq0cSc+9XPlenXeF4Dta67S5p3MrPN2b8/3v6bw85i6dZcF3uPPhjHvp6N6CKe/vsYjeNsjJSeLi4li2bBmlpaVMnTqVDz/8EEdHR8aMGcP8+fNNUrirm7ClvgemnXtL1r31JM8t2mgxJy4amlf6hUJ6P7qE9u4t2Rw5ha9+PEp2frERI7w11c2vU5+Ht3YZs5jM3It08mjF96unk5iSxVl1nhEjrL9qc7KQ71FDVP8d1N60HCIm9WbaB3urXT/+dC69Zn/NnZ7O/PvFgew6rObaTb1yc7H0Y9PohVulUqFUKmnWrBlt27bF0dERADs7u1pnwNKfKrEh1BcK8WrrUvnes60LGblFtayhy6l5M7atmMqbH+7gYOKfRonJGBqa198ycy9y4kwWAwJ8+OrHo8YM8Zaos4t082rjQkaO4X8N/P2Xw7mMfPYkpNLzTk+zF251diFe7W49J0ulzruMl3vzyveebo5kFVypfO/kYIt/B1e+f3MEAG1dHNgyL4QJS2I5nHrjmJxUF3H5Whn+HV10PjcXC6/bjT/GbWNjw7Vr1wCIiIio/PzKlSu1jquGhIQQERGhs86tij+Rhl+H1nh7tMLWRsWE4YHE7E40aF1bGxWblk/h8+2H2BZ7pMGxGFND8vJs44x9M1sAXJwc6HdPZ079mV3HWqYRf+I8fh3cb8qrJzG/Gjbc4eLkgJ2tCgA3Z0f69ehE0k0nNc0l/rjesXogkJjdx8wdVoP9npKLb/uWeLdpga2NkvEDfIg5dL5y+cUrpXg/+wX+M7biP2MrB0/nVBZt7zYtUCkrOm8d3JvTxcOZtOxL5kpFx20/xv3mm29ia1tRIG4u1GVlZbzwwguNvXsAyss1zF76JdEfPI9KpWTDN3Ekncli4fQHSThxnpg9iQT5d2TT8sm4tHRg5MC7WDDtQYImRvDIsADuDfSllbMjT47uDcDUNz7nj1Nqk8Rem4bkdWfndkTMHodWq0WhUBD16U8cT8k0d0rAX3kt+4rolc+hUirYEH2IpDMXWDj1ARKSzhPz6wmCunVg09KncWnpyMiB/iyYOpygR5fTtVMb3n9tPBqtFqVCwfJPfta5GsWsOS3ZSvSqGaiUSjZ8+/exGknCibQbxypySsWxuu8uFkx/kKAJ7wAQu+5lunRqSwsHO1K+e4vpb31O7IFkM2dV8TT0V9fG8c2C4aiUCj756TRJ6YUs+EcACam57Ig/X+O6/bu25ZWH7qasTINGC7P+c4C84msmjL5mln7SW6G19MEcwCHoZXOHIAylsjV3BMZXdt3cETQKpY9l3ZNgLJe3Nvza/e6v7zK47fHFwxu8v/q6La7jFkKI+rD07qwUbiGE0GPpQyVSuIUQQo/0uIUQwspY+qk/KdxCCKFHhkqEEMLKWHiHWwq3EELok6ESIYSwMlK4hRDC2lh23ZbCLYQQ+jQajblDqJUUbiGE0CNDJUIIYWWkcAshhLWx7LothVsIIfRJj1sIIayMFG4hhLAyWrnlXQghrIv0uI1BY/6nPhudotEf92ketTwA2mq17mjuCBqF5mKuuUOwWFK4hRDCykjhFkIIKyOFWwghrI1l120p3EIIoU/mKhFCCCtjzKGSI0eO8PHHH6PRaBg6dCjjxo3TWf7LL7/w6aef0qpVKwBGjBjB0KFDa92mFG4hhNBnpLqt0WhYt24dCxYswM3Njddee43g4GC8vLx02vXv35/JkycbvN0mek2aEELcOq1Wa/CrNikpKbRr1462bdtiY2ND//79OXToUIPjkx63EELoMdZQSX5+Pm5ubpXv3dzcOH36dJV2v/32G0lJSbRv356nn34ad3f3WrcrhVsIIfTU5+RkbGwssbGxle9DQkIICQkBqv8FoNC7SS0oKIgBAwZga2vLrl27WLVqFYsWLap1n1K4hRBCXz063DcXan1ubm7k5eVVvs/Ly8PV1VWnjZOTk862Nm7cWOc+ZYxbCCH0GGuM29fXl8zMTLKzsykrK2P//v0EBwfrtCkoKKj8d3x8fJUTl9WRHrcQQugx1hi3SqXi2WefZfHixWg0GgYPHkyHDh3YtGkTvr6+BAcH89133xEfH49KpaJFixbMmDGjzu0qtJZ+byfgEPCiuUMwvqY6yZRtM3NHYHwubc0dQeOw/B/9W1Kya26Dt9Fi4nqD217aPKnB+6sv6XELIYQeS+/PSuEWQgg98iAFIYSwMpbe426iA611G9a/G0e/WkjiN4uY88ywKssHBPqy//N5FB9awUMhPc0QoWGG9e/G0W2vk/jNQuZMqnpJ0oBAX/ZvnEvxwfd4aKhuHt988DyZuyP4csVUU4VrsGF97+To5rkkbp3HnKcGV1k+oGdn9m94meJ9ETw05G6dZR3auhC98jkO/28OCf+bQ8f2rlXWN4dhwZ04uvZZEj+ezJyJvassnxJ6D4fWPE3c6qf4MfJRunasuHGjlZM93y+dSM7XM3nvhdrnsDC3YcGdOLpuMokfT2HOP2rI8aNJxH34ND+++1hljhZHqzX8ZQa3ZY9bqVQQFT6R0Oc/QH2hkL0b57J99zGSz2RVtjmfWcDURZ8y6ynL/UFRKhVEzZtA6IxVFXl8NoftuxNJPquXxxsbmRU2pMr6733yI472dkx+pL8pw66TUqkgau5DhL70b9TZRexdP5Ptvx4n+Wx2ZZvzFwqZ+q/NzHri/irrr130KEvW/8hPB0/T3MEOjQX82atUKoh6IYTQ17agzi1m7/tPsj0uleS0G9f4bvo5ibUxRwEI7evLkmmDGPv6l1y9Xs5bG/bh38md7p1qv6POnJRKBVEvDiM0fPNfOYax/UBdOQ5m7OtbzRVyzbSWPTvgbdnj7nVXJ1LP53JOnUdpWTlbdiYwalAPnTZpmfkkns6wiB/6mvS6y5vU9By9PHR7n7Xl8cvBUxRfvmqqcA3Wy78jqem5nMvIr8jrhyOMuq+7Tpu0zAISUzKr5NW1cxtsbJT8dLDituLLJdcpuVZqsthr0uvOdqRmFHAuq4jSMg1bfklmVD9fnTbFV65X/ru5vW1lZ+7KtVL2H1dz9XqZKUOut153ttfNcXcyo/r76bSpkqOlTnxt4T1usxTuDz74wBy7reTRxpn0CzcueldfKMCztbMZI7o1Hq1dSM8qrHyvzi7Es4315aHPo01L0i/cnFeRwcfnjg6tKSwu4X8RT3Hgk1m8/VIoSqX5n4Pp4eZEek5x5Xt17iU83Z2qtJs2uifHP57C4in38erqH00ZYoN5uLfQzTGnGE+3FlXaTRsdwPH1z7H4uft5dZWF5qjVGP4yg0YfKlmyZInOe61Wy/Hjx7l8+TIA8+bNa+wQqlBQ9QfZQn/v16q65/Ja+kkVQ1R7fAzMy8ZGyYCenekbFsX5C4V8tvhJwkKD2RDd8BnZGsLQY/VR9BE+ij7CPwZ3Jfzxfjy3/DsTRGcc1f16rO6wfRR9mI+iD/OPwd0If6Ifzy2zwBwt/AHljV648/Pz8fT0ZOjQoSgUCrRaLWfOnGH06NG1rqc/cYsxqbML8Wp744SVZ1tXMnKKGmVfjUmdXYhXO5fK955tXMjIuWjGiIxDnV2EV9ub83ImI9ewvNTZRRw9mcG5jHwAvt2dSO+7vM1euNW5xXi1vtHD9nRvQUbepRrbb/4lmRUvVT1pbsnUuZd0c2ztREZ+bTkmsWLmMMACC/ftPsb9zjvv4OPjw7Zt23B0dKR79+7Y2dnh7++Pv79/jeuFhIQQERFBRESE0WOKP/4nfh1b4+3hhq2NigkPBBLzyx9G309jiz+ehl+H1nh7tLqRx+5j5g6rweKTzuPXwR3v9q4VeQ3rScyeE4ate+I8Li0dcHdpDsCgYD+Sz15ozHANEn8yCz9PV7zbOmNro2TCoK7ExKXqtPH1uPHL6sHePqSoC/Q3Y9HiT2ZW5Njurxzv70rMgRSdNjo59vG13BwtfIzbZLe85+XlsWHDBpydnYmPj+fDDz80eN3GuOX9gXv9WTZnPCqlgg3fxLF03U4WPh9Kwok0YnYfI8i/I5vefQ6Xlo5cvVbGhbyLBI1fbLwAjHTL+wMD/Fk252FUSiUbvo1j6bpdLJw+siKPPYkVeUROwaWlw408JrwDQOy6l+nSqS0tHOzIL7rC9Lc+J/ZAcsMCMtIt7w/078qy2WMq8oo+yNL1P7Fw6nASktKJ+fUEQd282LT0aVycHLl6vZQLecUEPRYJwJDedxAxczQKBRxOVvPCO1spLWvAn75GuuX9gV6dWTZ9cEVOu46x9IvfWPjUABJOZRETl8ry6YMZHOhNaZmGwktXmb3qR5L+rLgiI3nDczg1t8PORkXRpWuMmr9V52qNW9IIP/oP9OrMsueHVOS48xhLv4jTzfH5IQwO8Ka0XENh8VVmr4qtzNFYjHHLu8OD7xm+v+9mN3h/9WXyuUoSEhJITk7m8ccfN3gdmavEishcJdajCZwPqY5RCveIdw3f3/evNHh/9WXy67gDAwMJDAw09W6FEMJwt/vJSSGEsDoWfnJSCrcQQuiz8GEkKdxCCKFPetxCCGFlpMcthBBWRnrcQghhZcrlqhIhhLAu0uMWQggrI2PcQghhZaTHLYQQVkZ63EIIYWWkxy2EEFZG5ioRQggrI0MlQghhZWSoRAghrIz0uIUQwspIj1sIIayMhZ+cNPmjyyxdbGwsISEh5g7D6JpiXk0xJ2iaeTXFnMypiT748NbFxsaaO4RG0RTzaoo5QdPMqynmZE5SuIUQwspI4RZCCCsjhVtPUx2Ha4p5NcWcoGnm1RRzMic5OSmEEFZGetxCCGFl5Druvxw5coSPP/4YjUbD0KFDGTdunLlDarDVq1eTkJCAs7MzkZGR5g7HaHJzc1m1ahWFhYUoFApCQkIYOXKkucNqkOvXr7No0SLKysooLy+nb9++TJw40dxhGY1GoyE8PJxWrVoRHh5u7nCsnhRuKr5U69atY8GCBbi5ufHaa68RHByMl5eXuUNrkEGDBjFixAhWrVpl7lCMSqVSERYWho+PDyUlJYSHh9OjRw+rPl62trYsWrQIe3t7ysrK+Oc//0nPnj3p0qWLuUMzih07duDp6UlJSYm5Q2kSZKgESElJoV27drRt2xYbGxv69+/PoUOHzB1Wg/n7+9OiRQtzh2F0rq6u+Pj4AODg4ICnpyf5+flmjqphFAoF9vb2AJSXl1NeXo5CoTBzVMaRl5dHQkICQ4cONXcoTYb0uIH8/Hzc3Nwq37u5uXH69GkzRiQMlZ2dzdmzZ/Hz8zN3KA2m0WiYN28eWVlZPPDAA9xxxx3mDsko1q9fz5NPPim9bSOSHjdQ3YU1TaW305RdvXqVyMhIJk2ahKOjo7nDaTClUsmyZctYs2YNqamppKWlmTukBvv9999xdnau/AtJGIf0uKnoYefl5VW+z8vLw9XV1YwRibqUlZURGRnJwIED6dOnj7nDMarmzZvj7+/PkSNH6Nixo7nDaZCTJ08SHx/P4cOHuX79OiUlJaxcuZKZM2eaOzSrJoUb8PX1JTMzk+zsbFq1asX+/fvli2XBtFota9aswdPTk1GjRpk7HKO4ePEiKpWK5s2bc/36dY4dO8bYsWPNHVaDPf744zz++OMAHD9+nOjoaPnZMgIp3FRcpfDss8+yePFiNBoNgwcPpkOHDuYOq8GioqI4ceIExcXFTJ8+nYkTJzJkyBBzh9VgJ0+eZM+ePXTs2JG5c+cC8NhjjxEYGGjmyG5dQUEBq1atQqPRoNVq6devH0FBQeYOS1gouXNSCCGsjJycFEIIKyOFWwghrIwUbiGEsDJSuIUQwspI4RZCCCsjhVsIIayMFG4hhLAyUriFEMLKyJ2TwuqcPXuWNWvWkJmZSUBAAAqFgnbt2vHoo4+aOzQhTEJ63MKqlJWVsWzZMgYOHMh///tf+vXrx2+//WbusIQwKSncwqqcOnWK8vJyQkNDsbGxoW/fvvj6+po7LCFMSgq3sCoFBQW0atVKZ750d3d3M0YkhOlJ4RZWxdXVlfz8fJ2HX9w8l7oQtwMp3MKqdOnSBaVSyXfffUd5eTm//fYbKSkp5g5LCJOSaV2F1UlNTeWjjz4iKyuLgIAAANq3by9XlYjbhhRuYfVWrVqFm5ubFG5x25ChEiGEsDJSuIUQwsrIUIkQQlgZ6XELIYSVkcIthBBWRgq3EEJYGSncQghhZaRwCyGElZHCLYQQVub/A6M3hFLsDN5+AAAAAElFTkSuQmCC\n",
1096 "text/plain": [
1097 "<Figure size 432x288 with 2 Axes>"
1098 ]
1099 },
1100 "metadata": {},
1101 "output_type": "display_data"
1102 }
1103 ],
1104 "source": [
1105 "sns.heatmap(test_results.RMSE.unstack().mul(10), fmt='.2', annot=True, cmap='Blues_r');"
1106 ]
1107 },
1108 {
1109 "cell_type": "markdown",
1110 "metadata": {},
1111 "source": [
1112 "We also aim to minimize BIC:"
1113 ]
1114 },
1115 {
1116 "cell_type": "code",
1117 "execution_count": 24,
1118 "metadata": {
1119 "ExecuteTime": {
1120 "end_time": "2018-10-31T20:11:35.383147Z",
1121 "start_time": "2018-10-31T20:11:35.240198Z"
1122 }
1123 },
1124 "outputs": [
1125 {
1126 "data": {
1127 "image/png": 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\n",
1128 "text/plain": [
1129 "<Figure size 432x288 with 2 Axes>"
1130 ]
1131 },
1132 "metadata": {},
1133 "output_type": "display_data"
1134 }
1135 ],
1136 "source": [
1137 "sns.heatmap(test_results.BIC.unstack(), fmt='.2f', annot=True, cmap='Blues_r');"
1138 ]
1139 },
1140 {
1141 "cell_type": "markdown",
1142 "metadata": {},
1143 "source": [
1144 "### Estimating the best ARMA Model"
1145 ]
1146 },
1147 {
1148 "cell_type": "markdown",
1149 "metadata": {},
1150 "source": [
1151 "ARMA(0,4) and ARMA(2,2) are close, with a slight edge for the former."
1152 ]
1153 },
1154 {
1155 "cell_type": "code",
1156 "execution_count": 25,
1157 "metadata": {
1158 "ExecuteTime": {
1159 "end_time": "2018-10-31T20:11:35.563339Z",
1160 "start_time": "2018-10-31T20:11:35.384391Z"
1161 }
1162 },
1163 "outputs": [
1164 {
1165 "name": "stdout",
1166 "output_type": "stream",
1167 "text": [
1168 " ARMA Model Results \n",
1169 "==============================================================================\n",
1170 "Dep. Variable: IPGMFN No. Observations: 348\n",
1171 "Model: ARMA(0, 4) Log Likelihood 996.700\n",
1172 "Method: css-mle S.D. of innovations 0.014\n",
1173 "Date: Thu, 18 Apr 2019 AIC -1981.399\n",
1174 "Time: 23:09:24 BIC -1958.286\n",
1175 "Sample: 01-01-1989 HQIC -1972.197\n",
1176 " - 12-01-2017 \n",
1177 "================================================================================\n",
1178 " coef std err z P>|z| [0.025 0.975]\n",
1179 "--------------------------------------------------------------------------------\n",
1180 "const 0.0195 0.004 4.892 0.000 0.012 0.027\n",
1181 "ma.L1.IPGMFN 1.2929 0.049 26.414 0.000 1.197 1.389\n",
1182 "ma.L2.IPGMFN 1.4380 0.060 23.886 0.000 1.320 1.556\n",
1183 "ma.L3.IPGMFN 1.1548 0.059 19.506 0.000 1.039 1.271\n",
1184 "ma.L4.IPGMFN 0.5560 0.046 12.019 0.000 0.465 0.647\n",
1185 " Roots \n",
1186 "=============================================================================\n",
1187 " Real Imaginary Modulus Frequency\n",
1188 "-----------------------------------------------------------------------------\n",
1189 "MA.1 0.0313 -1.0641j 1.0645 -0.2453\n",
1190 "MA.2 0.0313 +1.0641j 1.0645 0.2453\n",
1191 "MA.3 -1.0699 -0.6652j 1.2598 -0.4115\n",
1192 "MA.4 -1.0699 +0.6652j 1.2598 0.4115\n",
1193 "-----------------------------------------------------------------------------\n"
1194 ]
1195 }
1196 ],
1197 "source": [
1198 "model = tsa.ARMA(endog=industrial_production_log_diff, order=(0, 4)).fit()\n",
1199 "print(model.summary())"
1200 ]
1201 },
1202 {
1203 "cell_type": "markdown",
1204 "metadata": {},
1205 "source": [
1206 "### Check Residual Correlogram"
1207 ]
1208 },
1209 {
1210 "cell_type": "code",
1211 "execution_count": 26,
1212 "metadata": {
1213 "ExecuteTime": {
1214 "end_time": "2018-10-31T20:11:36.175452Z",
1215 "start_time": "2018-10-31T20:11:35.566059Z"
1216 }
1217 },
1218 "outputs": [
1219 {
1220 "data": {
1221 "image/png": 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\n",
1222 "text/plain": [
1223 "<Figure size 1008x576 with 4 Axes>"
1224 ]
1225 },
1226 "metadata": {},
1227 "output_type": "display_data"
1228 }
1229 ],
1230 "source": [
1231 "plot_correlogram(model.resid)"
1232 ]
1233 },
1234 {
1235 "cell_type": "markdown",
1236 "metadata": {},
1237 "source": [
1238 "## SARIMAX"
1239 ]
1240 },
1241 {
1242 "cell_type": "code",
1243 "execution_count": 48,
1244 "metadata": {
1245 "ExecuteTime": {
1246 "end_time": "2018-10-31T20:28:47.829276Z",
1247 "start_time": "2018-10-31T20:28:46.847641Z"
1248 },
1249 "scrolled": true
1250 },
1251 "outputs": [
1252 {
1253 "name": "stdout",
1254 "output_type": "stream",
1255 "text": [
1256 " Statespace Model Results \n",
1257 "==========================================================================================\n",
1258 "Dep. Variable: IPGMFN No. Observations: 348\n",
1259 "Model: SARIMAX(2, 0, 2)x(1, 0, 1, 12) Log Likelihood 1128.813\n",
1260 "Date: Wed, 31 Oct 2018 AIC -2243.626\n",
1261 "Time: 16:28:47 BIC -2216.661\n",
1262 "Sample: 01-01-1989 HQIC -2232.891\n",
1263 " - 12-01-2017 \n",
1264 "Covariance Type: opg \n",
1265 "==============================================================================\n",
1266 " coef std err z P>|z| [0.025 0.975]\n",
1267 "------------------------------------------------------------------------------\n",
1268 "ar.L1 0.1105 0.643 0.172 0.864 -1.150 1.371\n",
1269 "ar.L2 0.8825 0.640 1.380 0.168 -0.371 2.136\n",
1270 "ma.L1 0.9857 0.637 1.547 0.122 -0.263 2.234\n",
1271 "ma.L2 0.0813 0.083 0.975 0.330 -0.082 0.245\n",
1272 "ar.S.L12 -0.0301 0.073 -0.413 0.680 -0.173 0.113\n",
1273 "ma.S.L12 -0.7133 0.051 -14.111 0.000 -0.812 -0.614\n",
1274 "sigma2 8.247e-05 5.02e-06 16.438 0.000 7.26e-05 9.23e-05\n",
1275 "===================================================================================\n",
1276 "Ljung-Box (Q): 95.86 Jarque-Bera (JB): 28.30\n",
1277 "Prob(Q): 0.00 Prob(JB): 0.00\n",
1278 "Heteroskedasticity (H): 1.25 Skew: -0.28\n",
1279 "Prob(H) (two-sided): 0.23 Kurtosis: 4.28\n",
1280 "===================================================================================\n",
1281 "\n",
1282 "Warnings:\n",
1283 "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
1284 ]
1285 }
1286 ],
1287 "source": [
1288 "model = tsa.SARIMAX(endog=industrial_production_log_diff.dropna(),\n",
1289 " order=(2, 0, 2),\n",
1290 " seasonal_order=(1, 0, 1, 12)).fit(start_params=[0, 0, 0, 0, 0, 0, 1])\n",
1291 "print(model.summary())"
1292 ]
1293 },
1294 {
1295 "cell_type": "code",
1296 "execution_count": null,
1297 "metadata": {
1298 "ExecuteTime": {
1299 "end_time": "2018-10-31T20:11:36.207967Z",
1300 "start_time": "2018-10-31T19:56:08.146Z"
1301 }
1302 },
1303 "outputs": [],
1304 "source": [
1305 "plot_correlogram(model.resid)"
1306 ]
1307 },
1308 {
1309 "cell_type": "markdown",
1310 "metadata": {},
1311 "source": [
1312 "We will build a SARIMAX model for monthly data on an industrial production time series for the 1988-2017 period. As illustrated in the first section on analytical tools, the data has been log-transformed, and we are using seasonal (lag-12) differences. We estimate the model for a range of both ordinary and conventional AR and MA parameters using a rolling window of 10 years of training data, and evaluate the RMSE of the 1-step-ahead forecas"
1313 ]
1314 },
1315 {
1316 "cell_type": "markdown",
1317 "metadata": {},
1318 "source": [
1319 "### Finding the optimal number of lags"
1320 ]
1321 },
1322 {
1323 "cell_type": "code",
1324 "execution_count": null,
1325 "metadata": {
1326 "ExecuteTime": {
1327 "end_time": "2018-11-01T02:56:40.863205Z",
1328 "start_time": "2018-10-31T20:28:54.150436Z"
1329 },
1330 "scrolled": false
1331 },
1332 "outputs": [],
1333 "source": [
1334 "train_size = 120 # 10 years of training data\n",
1335 "test_results = {}\n",
1336 "test_set = industrial_production_log_diff.iloc[train_size:]\n",
1337 "\n",
1338 "for p1 in range(4):\n",
1339 " for q1 in range(4):\n",
1340 " for p2 in range(3):\n",
1341 " for q2 in range(3):\n",
1342 " preds = test_set.copy().to_frame('y_true').assign(y_pred=np.nan)\n",
1343 " aic, bic = [], []\n",
1344 " if p1 == 0 and q1 == 0:\n",
1345 " continue\n",
1346 " print(p1, q1, p2, q2)\n",
1347 " convergence_error = stationarity_error = 0\n",
1348 " y_pred = []\n",
1349 " for i, T in enumerate(range(train_size, len(industrial_production_log_diff))):\n",
1350 " train_set = industrial_production_log_diff.iloc[T-train_size:T]\n",
1351 " try:\n",
1352 " model = tsa.SARIMAX(endog=train_set,\n",
1353 " order=(p1, 0, q1),\n",
1354 " seasonal_order=(p2, 0, q2, 12)).fit()\n",
1355 " except LinAlgError:\n",
1356 " convergence_error += 1\n",
1357 " except ValueError:\n",
1358 " stationarity_error += 1\n",
1359 "\n",
1360 " preds.iloc[i, 1] = model.forecast(steps=1)[0]\n",
1361 " aic.append(model.aic)\n",
1362 " bic.append(model.bic)\n",
1363 " \n",
1364 " preds.dropna(inplace=True)\n",
1365 " mse = mean_squared_error(preds.y_true, preds.y_pred)\n",
1366 " test_results[(p1, q1, p2, q2)] = [np.sqrt(mse),\n",
1367 " preds.y_true.sub(preds.y_pred).std(),\n",
1368 " np.mean(aic),\n",
1369 " np.std(aic), \n",
1370 " np.mean(bic),\n",
1371 " np.std(bic), \n",
1372 " convergence_error,\n",
1373 " stationarity_error]"
1374 ]
1375 },
1376 {
1377 "cell_type": "markdown",
1378 "metadata": {},
1379 "source": [
1380 "### Compare model metrics"
1381 ]
1382 },
1383 {
1384 "cell_type": "code",
1385 "execution_count": null,
1386 "metadata": {
1387 "ExecuteTime": {
1388 "end_time": "2018-11-01T02:56:40.865514Z",
1389 "start_time": "2018-10-31T20:29:05.967Z"
1390 }
1391 },
1392 "outputs": [],
1393 "source": [
1394 "df = pd.DataFrame(test_results).T\n",
1395 "df.columns = ['RMSE', 'RMSE_std', 'AIC', 'AIC_std', 'BIC', 'BIC_std', 'convergence', 'stationarity']\n",
1396 "df['CV'] = df.RMSE_std.div(df.RMSE)\n",
1397 "df.index.names = ['p1', 'q1', 'p2', 'q2']\n",
1398 "df.info()"
1399 ]
1400 },
1401 {
1402 "cell_type": "code",
1403 "execution_count": null,
1404 "metadata": {
1405 "ExecuteTime": {
1406 "end_time": "2018-11-01T02:56:40.866494Z",
1407 "start_time": "2018-10-31T20:29:06.132Z"
1408 }
1409 },
1410 "outputs": [],
1411 "source": [
1412 "with pd.HDFStore('results/arima.h5') as store:\n",
1413 " store.put('arima_results/3', df)\n",
1414 " print(store.info())"
1415 ]
1416 },
1417 {
1418 "cell_type": "code",
1419 "execution_count": 51,
1420 "metadata": {
1421 "ExecuteTime": {
1422 "end_time": "2018-11-01T02:57:46.355198Z",
1423 "start_time": "2018-11-01T02:57:46.344289Z"
1424 }
1425 },
1426 "outputs": [],
1427 "source": [
1428 "with pd.HDFStore('results/arima.h5') as store:\n",
1429 " df = store.get('arima_results/3')"
1430 ]
1431 },
1432 {
1433 "cell_type": "code",
1434 "execution_count": 52,
1435 "metadata": {
1436 "ExecuteTime": {
1437 "end_time": "2018-11-01T02:57:48.520087Z",
1438 "start_time": "2018-11-01T02:57:48.506795Z"
1439 }
1440 },
1441 "outputs": [
1442 {
1443 "data": {
1444 "text/html": [
1445 "<div>\n",
1446 "<style scoped>\n",
1447 " .dataframe tbody tr th:only-of-type {\n",
1448 " vertical-align: middle;\n",
1449 " }\n",
1450 "\n",
1451 " .dataframe tbody tr th {\n",
1452 " vertical-align: top;\n",
1453 " }\n",
1454 "\n",
1455 " .dataframe thead th {\n",
1456 " text-align: right;\n",
1457 " }\n",
1458 "</style>\n",
1459 "<table border=\"1\" class=\"dataframe\">\n",
1460 " <thead>\n",
1461 " <tr style=\"text-align: right;\">\n",
1462 " <th></th>\n",
1463 " <th></th>\n",
1464 " <th></th>\n",
1465 " <th></th>\n",
1466 " <th>RMSE</th>\n",
1467 " <th>RMSE_std</th>\n",
1468 " <th>AIC</th>\n",
1469 " <th>AIC_std</th>\n",
1470 " <th>BIC</th>\n",
1471 " <th>BIC_std</th>\n",
1472 " <th>convergence</th>\n",
1473 " <th>stationarity</th>\n",
1474 " <th>CV</th>\n",
1475 " </tr>\n",
1476 " <tr>\n",
1477 " <th>p1</th>\n",
1478 " <th>q1</th>\n",
1479 " <th>p2</th>\n",
1480 " <th>q2</th>\n",
1481 " <th></th>\n",
1482 " <th></th>\n",
1483 " <th></th>\n",
1484 " <th></th>\n",
1485 " <th></th>\n",
1486 " <th></th>\n",
1487 " <th></th>\n",
1488 " <th></th>\n",
1489 " <th></th>\n",
1490 " </tr>\n",
1491 " </thead>\n",
1492 " <tbody>\n",
1493 " <tr>\n",
1494 " <th>2</th>\n",
1495 " <th>3</th>\n",
1496 " <th>1</th>\n",
1497 " <th>0</th>\n",
1498 " <td>0.009323</td>\n",
1499 " <td>0.009335</td>\n",
1500 " <td>-772.247023</td>\n",
1501 " <td>20.106627</td>\n",
1502 " <td>-752.734581</td>\n",
1503 " <td>20.106627</td>\n",
1504 " <td>2.0</td>\n",
1505 " <td>1.0</td>\n",
1506 " <td>1.001263</td>\n",
1507 " </tr>\n",
1508 " <tr>\n",
1509 " <th>3</th>\n",
1510 " <th>2</th>\n",
1511 " <th>1</th>\n",
1512 " <th>0</th>\n",
1513 " <td>0.009467</td>\n",
1514 " <td>0.009486</td>\n",
1515 " <td>-768.844028</td>\n",
1516 " <td>17.479101</td>\n",
1517 " <td>-749.331586</td>\n",
1518 " <td>17.479101</td>\n",
1519 " <td>1.0</td>\n",
1520 " <td>1.0</td>\n",
1521 " <td>1.001913</td>\n",
1522 " </tr>\n",
1523 " <tr>\n",
1524 " <th rowspan=\"3\" valign=\"top\">2</th>\n",
1525 " <th>2</th>\n",
1526 " <th>1</th>\n",
1527 " <th>0</th>\n",
1528 " <td>0.009540</td>\n",
1529 " <td>0.009559</td>\n",
1530 " <td>-770.904835</td>\n",
1531 " <td>17.162805</td>\n",
1532 " <td>-754.179884</td>\n",
1533 " <td>17.162805</td>\n",
1534 " <td>0.0</td>\n",
1535 " <td>2.0</td>\n",
1536 " <td>1.002046</td>\n",
1537 " </tr>\n",
1538 " <tr>\n",
1539 " <th>3</th>\n",
1540 " <th>0</th>\n",
1541 " <th>0</th>\n",
1542 " <td>0.009773</td>\n",
1543 " <td>0.009790</td>\n",
1544 " <td>-760.248885</td>\n",
1545 " <td>23.627233</td>\n",
1546 " <td>-743.523935</td>\n",
1547 " <td>23.627233</td>\n",
1548 " <td>0.0</td>\n",
1549 " <td>1.0</td>\n",
1550 " <td>1.001768</td>\n",
1551 " </tr>\n",
1552 " <tr>\n",
1553 " <th>2</th>\n",
1554 " <th>0</th>\n",
1555 " <th>0</th>\n",
1556 " <td>0.009986</td>\n",
1557 " <td>0.010005</td>\n",
1558 " <td>-758.775827</td>\n",
1559 " <td>20.636387</td>\n",
1560 " <td>-744.838368</td>\n",
1561 " <td>20.636387</td>\n",
1562 " <td>0.0</td>\n",
1563 " <td>2.0</td>\n",
1564 " <td>1.001922</td>\n",
1565 " </tr>\n",
1566 " <tr>\n",
1567 " <th rowspan=\"4\" valign=\"top\">3</th>\n",
1568 " <th>2</th>\n",
1569 " <th>0</th>\n",
1570 " <th>0</th>\n",
1571 " <td>0.010066</td>\n",
1572 " <td>0.010088</td>\n",
1573 " <td>-757.467934</td>\n",
1574 " <td>20.319519</td>\n",
1575 " <td>-740.742984</td>\n",
1576 " <td>20.319519</td>\n",
1577 " <td>2.0</td>\n",
1578 " <td>1.0</td>\n",
1579 " <td>1.002172</td>\n",
1580 " </tr>\n",
1581 " <tr>\n",
1582 " <th rowspan=\"2\" valign=\"top\">3</th>\n",
1583 " <th>1</th>\n",
1584 " <th>0</th>\n",
1585 " <td>0.010490</td>\n",
1586 " <td>0.010457</td>\n",
1587 " <td>-770.605332</td>\n",
1588 " <td>19.677360</td>\n",
1589 " <td>-748.305398</td>\n",
1590 " <td>19.677360</td>\n",
1591 " <td>2.0</td>\n",
1592 " <td>6.0</td>\n",
1593 " <td>0.996836</td>\n",
1594 " </tr>\n",
1595 " <tr>\n",
1596 " <th>0</th>\n",
1597 " <th>0</th>\n",
1598 " <td>0.011543</td>\n",
1599 " <td>0.011511</td>\n",
1600 " <td>-758.301684</td>\n",
1601 " <td>23.107904</td>\n",
1602 " <td>-738.789241</td>\n",
1603 " <td>23.107904</td>\n",
1604 " <td>1.0</td>\n",
1605 " <td>6.0</td>\n",
1606 " <td>0.997194</td>\n",
1607 " </tr>\n",
1608 " <tr>\n",
1609 " <th>2</th>\n",
1610 " <th>2</th>\n",
1611 " <th>0</th>\n",
1612 " <td>0.011688</td>\n",
1613 " <td>0.011617</td>\n",
1614 " <td>-767.646566</td>\n",
1615 " <td>28.365300</td>\n",
1616 " <td>-745.199922</td>\n",
1617 " <td>28.261192</td>\n",
1618 " <td>2.0</td>\n",
1619 " <td>13.0</td>\n",
1620 " <td>0.993956</td>\n",
1621 " </tr>\n",
1622 " <tr>\n",
1623 " <th>2</th>\n",
1624 " <th>3</th>\n",
1625 " <th>2</th>\n",
1626 " <th>0</th>\n",
1627 " <td>0.011909</td>\n",
1628 " <td>0.011857</td>\n",
1629 " <td>-770.765094</td>\n",
1630 " <td>30.125115</td>\n",
1631 " <td>-748.318450</td>\n",
1632 " <td>30.041888</td>\n",
1633 " <td>1.0</td>\n",
1634 " <td>13.0</td>\n",
1635 " <td>0.995627</td>\n",
1636 " </tr>\n",
1637 " </tbody>\n",
1638 "</table>\n",
1639 "</div>"
1640 ],
1641 "text/plain": [
1642 " RMSE RMSE_std AIC AIC_std BIC BIC_std \\\n",
1643 "p1 q1 p2 q2 \n",
1644 "2 3 1 0 0.009323 0.009335 -772.247023 20.106627 -752.734581 20.106627 \n",
1645 "3 2 1 0 0.009467 0.009486 -768.844028 17.479101 -749.331586 17.479101 \n",
1646 "2 2 1 0 0.009540 0.009559 -770.904835 17.162805 -754.179884 17.162805 \n",
1647 " 3 0 0 0.009773 0.009790 -760.248885 23.627233 -743.523935 23.627233 \n",
1648 " 2 0 0 0.009986 0.010005 -758.775827 20.636387 -744.838368 20.636387 \n",
1649 "3 2 0 0 0.010066 0.010088 -757.467934 20.319519 -740.742984 20.319519 \n",
1650 " 3 1 0 0.010490 0.010457 -770.605332 19.677360 -748.305398 19.677360 \n",
1651 " 0 0 0.011543 0.011511 -758.301684 23.107904 -738.789241 23.107904 \n",
1652 " 2 2 0 0.011688 0.011617 -767.646566 28.365300 -745.199922 28.261192 \n",
1653 "2 3 2 0 0.011909 0.011857 -770.765094 30.125115 -748.318450 30.041888 \n",
1654 "\n",
1655 " convergence stationarity CV \n",
1656 "p1 q1 p2 q2 \n",
1657 "2 3 1 0 2.0 1.0 1.001263 \n",
1658 "3 2 1 0 1.0 1.0 1.001913 \n",
1659 "2 2 1 0 0.0 2.0 1.002046 \n",
1660 " 3 0 0 0.0 1.0 1.001768 \n",
1661 " 2 0 0 0.0 2.0 1.001922 \n",
1662 "3 2 0 0 2.0 1.0 1.002172 \n",
1663 " 3 1 0 2.0 6.0 0.996836 \n",
1664 " 0 0 1.0 6.0 0.997194 \n",
1665 " 2 2 0 2.0 13.0 0.993956 \n",
1666 "2 3 2 0 1.0 13.0 0.995627 "
1667 ]
1668 },
1669 "execution_count": 52,
1670 "metadata": {},
1671 "output_type": "execute_result"
1672 }
1673 ],
1674 "source": [
1675 "df.sort_values('RMSE').head(10)"
1676 ]
1677 },
1678 {
1679 "cell_type": "markdown",
1680 "metadata": {},
1681 "source": [
1682 "We also collect the AIC and BIC criteria that show a very high rank correlation coefficient of 0.94, with BIC favoring models with slightly fewer parameters than AIC. The best five models by RMSE are:"
1683 ]
1684 },
1685 {
1686 "cell_type": "code",
1687 "execution_count": 53,
1688 "metadata": {
1689 "ExecuteTime": {
1690 "end_time": "2018-11-01T02:57:48.775327Z",
1691 "start_time": "2018-11-01T02:57:48.765758Z"
1692 }
1693 },
1694 "outputs": [
1695 {
1696 "name": "stdout",
1697 "output_type": "stream",
1698 "text": [
1699 " RMSE AIC BIC\n",
1700 "p1 q1 p2 q2 \n",
1701 "2 3 1 0 0.009323 -772.247023 -752.734581\n",
1702 "3 2 1 0 0.009467 -768.844028 -749.331586\n",
1703 "2 2 1 0 0.009540 -770.904835 -754.179884\n",
1704 " 3 0 0 0.009773 -760.248885 -743.523935\n",
1705 " 2 0 0 0.009986 -758.775827 -744.838368\n"
1706 ]
1707 }
1708 ],
1709 "source": [
1710 "print(df[['RMSE', 'AIC', 'BIC']].sort_values('RMSE').head())"
1711 ]
1712 },
1713 {
1714 "cell_type": "code",
1715 "execution_count": 54,
1716 "metadata": {
1717 "ExecuteTime": {
1718 "end_time": "2018-11-01T02:57:53.253046Z",
1719 "start_time": "2018-11-01T02:57:53.245101Z"
1720 }
1721 },
1722 "outputs": [
1723 {
1724 "data": {
1725 "text/html": [
1726 "<div>\n",
1727 "<style scoped>\n",
1728 " .dataframe tbody tr th:only-of-type {\n",
1729 " vertical-align: middle;\n",
1730 " }\n",
1731 "\n",
1732 " .dataframe tbody tr th {\n",
1733 " vertical-align: top;\n",
1734 " }\n",
1735 "\n",
1736 " .dataframe thead th {\n",
1737 " text-align: right;\n",
1738 " }\n",
1739 "</style>\n",
1740 "<table border=\"1\" class=\"dataframe\">\n",
1741 " <thead>\n",
1742 " <tr style=\"text-align: right;\">\n",
1743 " <th></th>\n",
1744 " <th>RMSE</th>\n",
1745 " <th>AIC</th>\n",
1746 " <th>BIC</th>\n",
1747 " </tr>\n",
1748 " </thead>\n",
1749 " <tbody>\n",
1750 " <tr>\n",
1751 " <th>RMSE</th>\n",
1752 " <td>1.000000</td>\n",
1753 " <td>0.368545</td>\n",
1754 " <td>0.417667</td>\n",
1755 " </tr>\n",
1756 " <tr>\n",
1757 " <th>AIC</th>\n",
1758 " <td>0.368545</td>\n",
1759 " <td>1.000000</td>\n",
1760 " <td>0.940401</td>\n",
1761 " </tr>\n",
1762 " <tr>\n",
1763 " <th>BIC</th>\n",
1764 " <td>0.417667</td>\n",
1765 " <td>0.940401</td>\n",
1766 " <td>1.000000</td>\n",
1767 " </tr>\n",
1768 " </tbody>\n",
1769 "</table>\n",
1770 "</div>"
1771 ],
1772 "text/plain": [
1773 " RMSE AIC BIC\n",
1774 "RMSE 1.000000 0.368545 0.417667\n",
1775 "AIC 0.368545 1.000000 0.940401\n",
1776 "BIC 0.417667 0.940401 1.000000"
1777 ]
1778 },
1779 "execution_count": 54,
1780 "metadata": {},
1781 "output_type": "execute_result"
1782 }
1783 ],
1784 "source": [
1785 "df[['RMSE', 'AIC', 'BIC']].corr('spearman')"
1786 ]
1787 },
1788 {
1789 "cell_type": "code",
1790 "execution_count": 56,
1791 "metadata": {
1792 "ExecuteTime": {
1793 "end_time": "2018-11-01T02:57:59.878535Z",
1794 "start_time": "2018-11-01T02:57:59.582097Z"
1795 }
1796 },
1797 "outputs": [
1798 {
1799 "data": {
1800 "image/png": 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\n",
1801 "text/plain": [
1802 "<Figure size 432x432 with 3 Axes>"
1803 ]
1804 },
1805 "metadata": {},
1806 "output_type": "display_data"
1807 }
1808 ],
1809 "source": [
1810 "sns.jointplot(y='RMSE', x='BIC', data=df[['RMSE', 'BIC']].rank());"
1811 ]
1812 },
1813 {
1814 "cell_type": "code",
1815 "execution_count": 57,
1816 "metadata": {
1817 "ExecuteTime": {
1818 "end_time": "2018-11-01T02:57:59.893002Z",
1819 "start_time": "2018-11-01T02:57:59.879990Z"
1820 }
1821 },
1822 "outputs": [
1823 {
1824 "data": {
1825 "text/html": [
1826 "<div>\n",
1827 "<style scoped>\n",
1828 " .dataframe tbody tr th:only-of-type {\n",
1829 " vertical-align: middle;\n",
1830 " }\n",
1831 "\n",
1832 " .dataframe tbody tr th {\n",
1833 " vertical-align: top;\n",
1834 " }\n",
1835 "\n",
1836 " .dataframe thead th {\n",
1837 " text-align: right;\n",
1838 " }\n",
1839 "</style>\n",
1840 "<table border=\"1\" class=\"dataframe\">\n",
1841 " <thead>\n",
1842 " <tr style=\"text-align: right;\">\n",
1843 " <th></th>\n",
1844 " <th></th>\n",
1845 " <th></th>\n",
1846 " <th></th>\n",
1847 " <th>RMSE</th>\n",
1848 " <th>RMSE_std</th>\n",
1849 " <th>AIC</th>\n",
1850 " <th>AIC_std</th>\n",
1851 " <th>BIC</th>\n",
1852 " <th>BIC_std</th>\n",
1853 " <th>convergence</th>\n",
1854 " <th>stationarity</th>\n",
1855 " <th>CV</th>\n",
1856 " </tr>\n",
1857 " <tr>\n",
1858 " <th>p1</th>\n",
1859 " <th>q1</th>\n",
1860 " <th>p2</th>\n",
1861 " <th>q2</th>\n",
1862 " <th></th>\n",
1863 " <th></th>\n",
1864 " <th></th>\n",
1865 " <th></th>\n",
1866 " <th></th>\n",
1867 " <th></th>\n",
1868 " <th></th>\n",
1869 " <th></th>\n",
1870 " <th></th>\n",
1871 " </tr>\n",
1872 " </thead>\n",
1873 " <tbody>\n",
1874 " <tr>\n",
1875 " <th rowspan=\"2\" valign=\"top\">2</th>\n",
1876 " <th>2</th>\n",
1877 " <th>1</th>\n",
1878 " <th>0</th>\n",
1879 " <td>0.009540</td>\n",
1880 " <td>0.009559</td>\n",
1881 " <td>-770.904835</td>\n",
1882 " <td>17.162805</td>\n",
1883 " <td>-754.179884</td>\n",
1884 " <td>17.162805</td>\n",
1885 " <td>0.0</td>\n",
1886 " <td>2.0</td>\n",
1887 " <td>1.002046</td>\n",
1888 " </tr>\n",
1889 " <tr>\n",
1890 " <th>3</th>\n",
1891 " <th>1</th>\n",
1892 " <th>0</th>\n",
1893 " <td>0.009323</td>\n",
1894 " <td>0.009335</td>\n",
1895 " <td>-772.247023</td>\n",
1896 " <td>20.106627</td>\n",
1897 " <td>-752.734581</td>\n",
1898 " <td>20.106627</td>\n",
1899 " <td>2.0</td>\n",
1900 " <td>1.0</td>\n",
1901 " <td>1.001263</td>\n",
1902 " </tr>\n",
1903 " </tbody>\n",
1904 "</table>\n",
1905 "</div>"
1906 ],
1907 "text/plain": [
1908 " RMSE RMSE_std AIC AIC_std BIC BIC_std \\\n",
1909 "p1 q1 p2 q2 \n",
1910 "2 2 1 0 0.009540 0.009559 -770.904835 17.162805 -754.179884 17.162805 \n",
1911 " 3 1 0 0.009323 0.009335 -772.247023 20.106627 -752.734581 20.106627 \n",
1912 "\n",
1913 " convergence stationarity CV \n",
1914 "p1 q1 p2 q2 \n",
1915 "2 2 1 0 0.0 2.0 1.002046 \n",
1916 " 3 1 0 2.0 1.0 1.001263 "
1917 ]
1918 },
1919 "execution_count": 57,
1920 "metadata": {},
1921 "output_type": "execute_result"
1922 }
1923 ],
1924 "source": [
1925 "df[(df.RMSE<df.RMSE.quantile(.05))&(df.BIC<df.BIC.quantile(.1))]"
1926 ]
1927 },
1928 {
1929 "cell_type": "markdown",
1930 "metadata": {},
1931 "source": [
1932 "### Train best model"
1933 ]
1934 },
1935 {
1936 "cell_type": "code",
1937 "execution_count": 58,
1938 "metadata": {
1939 "ExecuteTime": {
1940 "end_time": "2018-11-01T02:58:00.950606Z",
1941 "start_time": "2018-11-01T02:58:00.288797Z"
1942 }
1943 },
1944 "outputs": [
1945 {
1946 "name": "stdout",
1947 "output_type": "stream",
1948 "text": [
1949 " Statespace Model Results \n",
1950 "==========================================================================================\n",
1951 "Dep. Variable: IPGMFN No. Observations: 348\n",
1952 "Model: SARIMAX(2, 0, 3)x(1, 0, 0, 12) Log Likelihood 1139.719\n",
1953 "Date: Wed, 31 Oct 2018 AIC -2265.438\n",
1954 "Time: 22:58:00 BIC -2238.472\n",
1955 "Sample: 01-01-1989 HQIC -2254.702\n",
1956 " - 12-01-2017 \n",
1957 "Covariance Type: opg \n",
1958 "==============================================================================\n",
1959 " coef std err z P>|z| [0.025 0.975]\n",
1960 "------------------------------------------------------------------------------\n",
1961 "ar.L1 1.4934 0.104 14.351 0.000 1.289 1.697\n",
1962 "ar.L2 -0.5159 0.102 -5.083 0.000 -0.715 -0.317\n",
1963 "ma.L1 -0.5499 0.114 -4.813 0.000 -0.774 -0.326\n",
1964 "ma.L2 0.2872 0.062 4.662 0.000 0.166 0.408\n",
1965 "ma.L3 0.1815 0.070 2.589 0.010 0.044 0.319\n",
1966 "ar.S.L12 -0.4486 0.047 -9.533 0.000 -0.541 -0.356\n",
1967 "sigma2 8.141e-05 5.65e-06 14.399 0.000 7.03e-05 9.25e-05\n",
1968 "===================================================================================\n",
1969 "Ljung-Box (Q): 61.58 Jarque-Bera (JB): 9.97\n",
1970 "Prob(Q): 0.02 Prob(JB): 0.01\n",
1971 "Heteroskedasticity (H): 1.07 Skew: -0.20\n",
1972 "Prob(H) (two-sided): 0.71 Kurtosis: 3.73\n",
1973 "===================================================================================\n",
1974 "\n",
1975 "Warnings:\n",
1976 "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
1977 ]
1978 }
1979 ],
1980 "source": [
1981 "best_model = tsa.SARIMAX(endog=industrial_production_log_diff, order=(2, 0, 3),\n",
1982 " seasonal_order=(1, 0, 0, 12)).fit()\n",
1983 "print(best_model.summary())"
1984 ]
1985 },
1986 {
1987 "cell_type": "markdown",
1988 "metadata": {},
1989 "source": [
1990 "### Check Residual Correlogram"
1991 ]
1992 },
1993 {
1994 "cell_type": "code",
1995 "execution_count": 60,
1996 "metadata": {
1997 "ExecuteTime": {
1998 "end_time": "2018-11-01T02:58:05.634598Z",
1999 "start_time": "2018-11-01T02:58:04.932600Z"
2000 }
2001 },
2002 "outputs": [
2003 {
2004 "data": {
2005 "image/png": 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\n",
2006 "text/plain": [
2007 "<Figure size 1008x576 with 4 Axes>"
2008 ]
2009 },
2010 "metadata": {},
2011 "output_type": "display_data"
2012 }
2013 ],
2014 "source": [
2015 "plot_correlogram(best_model.resid, lags=20, title='Residuals')"
2016 ]
2017 }
2018 ],
2019 "metadata": {
2020 "kernelspec": {
2021 "display_name": "Python 3",
2022 "language": "python",
2023 "name": "python3"
2024 },
2025 "language_info": {
2026 "codemirror_mode": {
2027 "name": "ipython",
2028 "version": 3
2029 },
2030 "file_extension": ".py",
2031 "mimetype": "text/x-python",
2032 "name": "python",
2033 "nbconvert_exporter": "python",
2034 "pygments_lexer": "ipython3",
2035 "version": "3.7.0"
2036 },
2037 "toc": {
2038 "base_numbering": 1,
2039 "nav_menu": {},
2040 "number_sections": true,
2041 "sideBar": true,
2042 "skip_h1_title": true,
2043 "title_cell": "Table of Contents",
2044 "title_sidebar": "Contents",
2045 "toc_cell": false,
2046 "toc_position": {},
2047 "toc_section_display": true,
2048 "toc_window_display": true
2049 }
2050 },
2051 "nbformat": 4,
2052 "nbformat_minor": 2
2053 }