{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Saisonnalit\u00e9s, changement de r\u00e9gime, COVID en France\n", "\n", "On s'int\u00e9resse aux s\u00e9ries temporelles de l'\u00e9pid\u00e9mie du COVID en France r\u00e9cup\u00e9r\u00e9es depuis data.gouv.fr : [Chiffres-cl\u00e9s concernant l'\u00e9pid\u00e9mie de COVID19 en France](https://www.data.gouv.fr/en/datasets/chiffres-cles-concernant-lepidemie-de-covid19-en-france/)."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Donn\u00e9es"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["c:\\python387_x64\\lib\\site-packages\\IPython\\core\\interactiveshell.py:3146: DtypeWarning: Columns (17,18) have mixed types.Specify dtype option on import or set low_memory=False.\n", " has_raised = await self.run_ast_nodes(code_ast.body, cell_name,\n"]}, {"data": {"text/html": ["
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dategranularitemaille_codemaille_nomcas_confirmescas_ehpadcas_confirmes_ehpadcas_possibles_ehpaddecesdeces_ehpadreanimationhospitalisesnouvelles_hospitalisationsnouvelles_reanimationsguerisdepistessource_nomsource_urlsource_archivesource_type
430802021-02-10regionREG-75Nouvelle-AquitaineNaNNaNNaNNaN2510.0NaN213.01524.078.020.010227.0NaNOpenCOVID19-frNaNNaNopencovid19-fr
430812021-02-10regionREG-76OccitanieNaNNaNNaNNaN2882.0NaN276.01886.0121.025.012801.0NaNOpenCOVID19-frNaNNaNopencovid19-fr
430822021-02-10regionREG-84Auvergne-Rh\u00f4ne-AlpesNaNNaNNaNNaN8453.0NaN400.03699.0213.042.034579.0NaNOpenCOVID19-frNaNNaNopencovid19-fr
430832021-02-10regionREG-93Provence-Alpes-C\u00f4te d'AzurNaNNaNNaNNaN5010.0NaN438.03581.0240.033.024080.0NaNOpenCOVID19-frNaNNaNopencovid19-fr
430842021-02-10regionREG-94CorseNaNNaNNaNNaN133.0NaN7.058.04.03.0587.0NaNOpenCOVID19-frNaNNaNopencovid19-fr
\n", "
"], "text/plain": [" date granularite maille_code maille_nom \\\n", "43080 2021-02-10 region REG-75 Nouvelle-Aquitaine \n", "43081 2021-02-10 region REG-76 Occitanie \n", "43082 2021-02-10 region REG-84 Auvergne-Rh\u00f4ne-Alpes \n", "43083 2021-02-10 region REG-93 Provence-Alpes-C\u00f4te d'Azur \n", "43084 2021-02-10 region REG-94 Corse \n", "\n", " cas_confirmes cas_ehpad cas_confirmes_ehpad cas_possibles_ehpad \\\n", "43080 NaN NaN NaN NaN \n", "43081 NaN NaN NaN NaN \n", "43082 NaN NaN NaN NaN \n", "43083 NaN NaN NaN NaN \n", "43084 NaN NaN NaN NaN \n", "\n", " deces deces_ehpad reanimation hospitalises \\\n", "43080 2510.0 NaN 213.0 1524.0 \n", "43081 2882.0 NaN 276.0 1886.0 \n", "43082 8453.0 NaN 400.0 3699.0 \n", "43083 5010.0 NaN 438.0 3581.0 \n", "43084 133.0 NaN 7.0 58.0 \n", "\n", " nouvelles_hospitalisations nouvelles_reanimations gueris depistes \\\n", "43080 78.0 20.0 10227.0 NaN \n", "43081 121.0 25.0 12801.0 NaN \n", "43082 213.0 42.0 34579.0 NaN \n", "43083 240.0 33.0 24080.0 NaN \n", "43084 4.0 3.0 587.0 NaN \n", "\n", " source_nom source_url source_archive source_type \n", "43080 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43081 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43082 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43083 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43084 OpenCOVID19-fr NaN NaN opencovid19-fr "]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["from pandas import DataFrame, read_csv, to_datetime\n", "df = read_csv(\"https://www.data.gouv.fr/en/datasets/r/0b66ca39-1623-4d9c-83ad-5434b7f9e2a4\")\n", "df.tail()"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": ["# Il y a une date 2020-11_11\n", "df['date'] = to_datetime(df['date'].apply(lambda s: s.replace(\"_\", \"-\")))"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/html": ["
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
cas_confirmes
date
2021-02-063317333.0
2021-02-073337048.0
2021-02-083341365.0
2021-02-093360235.0
2021-02-103385622.0
\n", "
"], "text/plain": [" cas_confirmes\n", "date \n", "2021-02-06 3317333.0\n", "2021-02-07 3337048.0\n", "2021-02-08 3341365.0\n", "2021-02-09 3360235.0\n", "2021-02-10 3385622.0"]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}], "source": ["gr = df[[\"date\", \"cas_confirmes\"]].groupby(\"date\").sum().sort_index()\n", "gr.tail()"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["gr['cas_confirmes'].plot(figsize=(14, 4), grid=True, title=\"Cas positifs\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Il y a des petits probl\u00e8mes de donn\u00e9es... On corrige de fa\u00e7on automatique ou \u00e0 la main... Etant donn\u00e9 que les donn\u00e9es n'\u00e9taient pas fiables avant juin 2020 car pas assez de tests, on commence la s\u00e9rie en septembre 2020. Il ne reste donc plus qu'une date un peu probl\u00e9matique, le 11 novembre."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from datetime import datetime\n", "gr.loc[(gr.index >= datetime(2020, 11, 5)) & (gr.index <= datetime(2020, 11, 15)), 'cas_confirmes'].plot(\n", " figsize=(14, 2), grid=True, title=\"Cas positifs\");"]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": ["gr.loc[datetime(2020, 11, 11), 'cas_confirmes'] = (\n", " gr.loc[datetime(2020, 11, 10), 'cas_confirmes'] + gr.loc[datetime(2020, 11, 12), 'cas_confirmes']) / 2"]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["gr.loc[gr.index >= datetime(2020, 9, 1), 'cas_confirmes'].plot(figsize=(14, 4), grid=True, title=\"Cas positifs\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["C'est mieux. On regarde la s\u00e9rie diff\u00e9renci\u00e9e :"]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["covsept = gr.loc[gr.index >= datetime(2020, 9, 1), 'cas_confirmes']\n", "covsept.diff().plot(figsize=(14, 4), grid=True, title=\"Cas positifs quotidiens\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Changements de r\u00e9gimes"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### fbprophet quand \u00e7a marche"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["Importing plotly failed. Interactive plots will not work.\n"]}, {"name": "stdout", "output_type": "stream", "text": ["'Prophet' object has no attribute 'stan_backend'\n"]}], "source": ["from fbprophet import Prophet\n", "from fbprophet.plot import add_changepoints_to_plot\n", "try:\n", " m = Prophet(changepoint_prior_scale=0.5)\n", " fig = m.plot(covsept)\n", " a = add_changepoints_to_plot(fig.gca(), m, covsept)\n", "except AttributeError as e:\n", " print(e)\n", " # Sur Windows, fbprophet est compliqu\u00e9 \u00e0 installer.\n", " # J'ai abandonn\u00e9. C'est plus simple sous Linux."]}, {"cell_type": "markdown", "metadata": {}, "source": ["On passe \u00e0 un autre module. Il compare localement la moyenne de la s\u00e9rie \u00e0 la s\u00e9rie elle-m\u00eame. Sur ce type de s\u00e9rie avec une p\u00e9riodicit\u00e9, \u00e7a ne marche pas tr\u00e8s bien."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Ecart \u00e0 la moyenne"]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import ruptures\n", "\n", "signal = covsept.diff().values\n", "\n", "algo = ruptures.Pelt(model=\"rbf\").fit(signal)\n", "result = algo.predict(pen=10)\n", "\n", "ruptures.display(signal, result, result);"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"text/plain": ["((162, 1), (162,))"]}, "execution_count": 14, "metadata": {}, "output_type": "execute_result"}], "source": ["import numpy\n", "signal = covsept.diff().values\n", "X = numpy.arange(signal.shape[0]).reshape(-1, 1).astype(signal.dtype)[1:]\n", "y = signal[1:]\n", "X.shape, y.shape"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Cuisine maison"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Donc je suis finalement pass\u00e9 \u00e0 quelque chose que j'ai cod\u00e9 : un arbre de r\u00e9gression mais donc chaque feuille est une r\u00e9gression lin\u00e9aire et non une constante. Ca manque un peu de th\u00e9orie mais rien n'emp\u00eache d'\u00eatre un peu inventif :[PiecewiseTreeRegressor](http://www.xavierdupre.fr/app/mlinsights/helpsphinx/mlinsights/mlmodel/piecewise_tree_regression.html)."]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["C:\\xavierdupre\\__home_\\github_fork\\scikit-learn\\sklearn\\tree\\_classes.py:335: FutureWarning: The parameter 'X_idx_sorted' is deprecated and has no effect. It will be removed in 1.1 (renaming of 0.26). You can suppress this warning by not passing any value to the 'X_idx_sorted' parameter.\n", " warnings.warn(\n"]}, {"data": {"text/plain": ["PiecewiseTreeRegressor(min_samples_leaf=14)"]}, "execution_count": 15, "metadata": {}, "output_type": "execute_result"}], "source": ["from mlinsights.mlmodel import PiecewiseTreeRegressor\n", "ptr = PiecewiseTreeRegressor(min_samples_leaf=14)\n", "ptr.fit(X, y)"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 1, figsize=(14, 4))\n", "ax.plot(X, y)\n", "ax.plot(X, ptr.predict(X))\n", "ax.set_title(\"Changement de r\u00e9gime estimer avec des arbres de r\u00e9gression\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["L'\u00e9pid\u00e9mie progresse de fa\u00e7on explonentielle. Il vaudrait sans doute mieux \u00e9tudier le logarithme de la s\u00e9rie diff\u00e9renci\u00e9e."]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["C:\\xavierdupre\\__home_\\github_fork\\scikit-learn\\sklearn\\tree\\_classes.py:335: FutureWarning: The parameter 'X_idx_sorted' is deprecated and has no effect. It will be removed in 1.1 (renaming of 0.26). You can suppress this warning by not passing any value to the 'X_idx_sorted' parameter.\n", " warnings.warn(\n"]}, {"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["ptrl = PiecewiseTreeRegressor(min_samples_leaf=14)\n", "ly = numpy.log(y)\n", "ptrl.fit(X, ly)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(14, 4))\n", "ax.plot(X, ly)\n", "ax.plot(X, ptrl.predict(X))\n", "ax.set_title(\"Changement de r\u00e9gime estimer avec des arbres de r\u00e9gression\"\n", " \"\\nversion logarithmique\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["C'est un petit peu mieux. Cette m\u00e9thode s'applique surtout \u00e0 la tendance des s\u00e9ries contrairement \u00e0 la m\u00e9thode suivante plus appropri\u00e9 pour segmenter les r\u00e9sidus."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Gaussian Hidden Markov Model\n", "\n", "Qu'est-ce ?"]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [{"data": {"text/plain": ["GaussianHMM(n_components=3, n_iter=1000)"]}, "execution_count": 18, "metadata": {}, "output_type": "execute_result"}], "source": ["from hmmlearn.hmm import GaussianHMM\n", "model = GaussianHMM(n_components=3, covariance_type=\"diag\", n_iter=1000)\n", "model.fit(ly.reshape(-1, 1))\n", "model"]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [{"data": {"text/plain": ["{1}"]}, "execution_count": 19, "metadata": {}, "output_type": "execute_result"}], "source": ["hidden_states = model.predict(X)\n", "dates = covsept.index[1:]\n", "set(hidden_states)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Le model n'arrive \u00e0 rien sauf \u00e0 pr\u00e9dire une valeur constante."]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, axs = plt.subplots(model.n_components, sharex=True, sharey=True, figsize=(14, 6))\n", "for i, ax in enumerate(axs):\n", " mask = hidden_states == i\n", " ax.plot(X[mask], ly[mask], \".-\")\n", " ax.set_title(\"{0}th hidden state\".format(i))\n", " ax.grid(True)"]}, {"cell_type": "markdown", "metadata": {}, "source": [" Ca ne donne rien car la saisonnalit\u00e9 l'emporte sur le reste."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Les modules classiques\n", "\n", "* [seglearn](https://dmbee.github.io/seglearn/)\n", "* [sktime](https://github.com/alan-turing-institute/sktime)\n", "* [pyflux](https://pyflux.readthedocs.io/en/latest/dyn_lin.html)\n", "* [hmmlearn](https://hmmlearn.readthedocs.io/en/stable/)\n", "* [statsmodels](https://www.statsmodels.org/stable/index.html)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Saisonnalit\u00e9"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Saisonnalit\u00e9 et moyennes mobiles"]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": [":2: FutureWarning: the 'freq'' keyword is deprecated, use 'period' instead\n", " res = seasonal_decompose(ly, freq=7)\n"]}, {"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from statsmodels.tsa.seasonal import seasonal_decompose\n", "res = seasonal_decompose(ly, freq=7)\n", "res.plot();"]}, {"cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([ nan, nan, nan, 0.07542526, -0.02752109,\n", " 0.3475441 , -0.11152892, -0.15329366, -0.04130195, -0.09907971])"]}, "execution_count": 22, "metadata": {}, "output_type": "execute_result"}], "source": ["res.resid[:10]"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Quelque chose qui n'a pas beaucoup de sens"]}, {"cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [{"data": {"text/plain": ["{0, 1, 2}"]}, "execution_count": 23, "metadata": {}, "output_type": "execute_result"}], "source": ["model = GaussianHMM(n_components=3, covariance_type=\"diag\", n_iter=1000)\n", "ry = res.trend[3:-3] # on enl\u00e8ve les nan\n", "model.fit(ry.reshape(-1, 1))\n", "hidden_states = model.predict(ry.reshape(-1, 1))\n", "set(hidden_states)"]}, {"cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [{"data": {"image/png": 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, axs = plt.subplots(model.n_components, sharex=True, sharey=True, figsize=(14, 6))\n", "for i, ax in enumerate(axs):\n", " mask = hidden_states == i\n", " ax.plot(numpy.arange(0, ry.shape[0])[mask], ry[mask], \".-\")\n", " ax.set_title(\"{0}th hidden state\".format(i))\n", " ax.grid(True)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Si le mod\u00e8le gaussien a l'air de fonctionner sur la s\u00e9rie tendancielle (hors saisonnalit\u00e9), il est plut\u00f4t utilis\u00e9 pour segmenter selon la loi des r\u00e9sidus. Sur chaque segments, la s\u00e9rie peut \u00eatre approch\u00e9e par une loi normale de moyenne et variance diff\u00e9rentes."]}, {"cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [{"data": {"text/plain": ["(array([[ 9.75077896],\n", " [ 9.26327355],\n", " [10.40300854]]),\n", " array([[[0.00506213]],\n", " \n", " [[0.02444731]],\n", " \n", " [[0.07163662]]]))"]}, "execution_count": 25, "metadata": {}, "output_type": "execute_result"}], "source": ["model.means_, model.covars_"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### ExponentialSmoothing\n", "\n", "Le [lissage exponentiel](https://fr.wikipedia.org/wiki/Lissage_exponentiel) consite \u00e0 mod\u00e9liser la s\u00e9rie comme suit :\n", "\n", "$$\n", "\\begin{array}{rcl}\n", "s_0 &=& y_0 \\\\\n", "s_t &=& \\alpha y_t + (1-\\alpha) s_{t-1} \\text{ pour } t > 0\n", "\\end{array}\n", "$$\n", "\n", "Ou :\n", "\n", "$$\n", "\\begin{array}{rcl}\n", "s_1 &=& y_1 \\\\\n", "\\sigma_1 &=& y_1 - y_0 \\\\\n", "s_t &=& \\alpha y_t + (1-\\alpha) (s_{t-1} + \\sigma_{t-1}) \\text{ pour } t > 1 \\\\\n", "\\sigma_t &=& \\beta (s_t - s_{t-1}) + (1-\\beta) \\sigma_{t-1} \\text{ pour } t > 1\n", "\\end{array}\n", "$$\n", "\n", "Ou plus complexe avec [Holt Winters](https://en.wikipedia.org/wiki/Exponential_smoothing#Triple_exponential_smoothing_(Holt_Winters)):\n", "\n", "$$\n", "\\begin{array}{rcl}\n", "s_0 &=& y_0 \\\\\n", "s_t &=& \\alpha (y_t - c_{t - L}) + (1-\\alpha) (s_{t-1} + b_{t-1}) \\\\\n", "b_t &=& \\beta(s_t - s_{t-1}) + (1-\\beta)b_{t-1} \\\\\n", "c_t &=& \\gamma (y_t - s_{t-1} - b_{t-1}) + (1-\\gamma)c_{t-L}\n", "\\end{array}\n", "$$"]}, {"cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["c:\\python387_x64\\lib\\site-packages\\statsmodels\\tsa\\holtwinters\\model.py:427: FutureWarning: After 0.13 initialization must be handled at model creation\n", " warnings.warn(\n", "c:\\python387_x64\\lib\\site-packages\\statsmodels\\tsa\\holtwinters\\model.py:1112: FutureWarning: Setting use_boxcox during fit has been deprecated and will be removed after 0.13. It must be set during model initialization.\n", " warnings.warn(\n", ":4: FutureWarning: the 'damped'' keyword is deprecated, use 'damped_trend' instead\n", " fit3 = ExponentialSmoothing(y, seasonal_periods=7, trend='add', seasonal='add', damped=True).fit(use_boxcox=True)\n", ":5: FutureWarning: the 'damped'' keyword is deprecated, use 'damped_trend' instead\n", " fit4 = ExponentialSmoothing(y, seasonal_periods=7, trend='add', seasonal='mul', damped=True).fit(use_boxcox=True)\n"]}], "source": ["from statsmodels.tsa.holtwinters import ExponentialSmoothing\n", "fit1 = ExponentialSmoothing(y, seasonal_periods=7, trend='add', seasonal='add').fit(use_boxcox=True)\n", "fit2 = ExponentialSmoothing(y, seasonal_periods=7, trend='add', seasonal='mul').fit(use_boxcox=True)\n", "fit3 = ExponentialSmoothing(y, seasonal_periods=7, trend='add', seasonal='add', damped=True).fit(use_boxcox=True)\n", "fit4 = ExponentialSmoothing(y, seasonal_periods=7, trend='add', seasonal='mul', damped=True).fit(use_boxcox=True)"]}, {"cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [{"data": {"text/html": ["\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
ExponentialSmoothing Model Results
Dep. Variable: endog No. Observations: 162
Model: ExponentialSmoothing SSE 7985315446.470
Optimized: True AIC 2891.550
Trend: Additive BIC 2925.514
Seasonal: Additive AICC 2894.010
Seasonal Periods: 7 Date: Wed, 10 Feb 2021
Box-Cox: True Time: 23:00:39
Box-Cox Coeff.: 0.19415
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coeff code optimized
smoothing_level 0.2185487 alpha True
smoothing_trend 0.1681336 beta True
smoothing_seasonal 0.2405703 gamma True
initial_level 29.375329 l.0 True
initial_trend 0.1857434 b.0 True
initial_seasons.0 -5.9555579 s.0 True
initial_seasons.1 -5.4784169 s.1 True
initial_seasons.2 -5.2732824 s.2 True
initial_seasons.3 -5.0576235 s.3 True
initial_seasons.4 -6.8353828 s.4 True
initial_seasons.5 -10.316491 s.5 True
initial_seasons.6 -7.6978206 s.6 True
"], "text/plain": ["\n", "\"\"\"\n", " ExponentialSmoothing Model Results \n", "================================================================================\n", "Dep. Variable: endog No. Observations: 162\n", "Model: ExponentialSmoothing SSE 7985315446.470\n", "Optimized: True AIC 2891.550\n", "Trend: Additive BIC 2925.514\n", "Seasonal: Additive AICC 2894.010\n", "Seasonal Periods: 7 Date: Wed, 10 Feb 2021\n", "Box-Cox: True Time: 23:00:39\n", "Box-Cox Coeff.: 0.19415 \n", "=================================================================================\n", " coeff code optimized \n", "---------------------------------------------------------------------------------\n", "smoothing_level 0.2185487 alpha True\n", "smoothing_trend 0.1681336 beta True\n", "smoothing_seasonal 0.2405703 gamma True\n", "initial_level 29.375329 l.0 True\n", "initial_trend 0.1857434 b.0 True\n", "initial_seasons.0 -5.9555579 s.0 True\n", "initial_seasons.1 -5.4784169 s.1 True\n", "initial_seasons.2 -5.2732824 s.2 True\n", "initial_seasons.3 -5.0576235 s.3 True\n", "initial_seasons.4 -6.8353828 s.4 True\n", "initial_seasons.5 -10.316491 s.5 True\n", "initial_seasons.6 -7.6978206 s.6 True\n", "---------------------------------------------------------------------------------\n", "\"\"\""]}, "execution_count": 27, "metadata": {}, "output_type": "execute_result"}], "source": ["fit1.summary()"]}, {"cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [{"data": {"image/png": 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29YH82EvfoNGCa0dsbGwoKCjA3cYCgKTzMVfcFyGEEOJmIiFICCHqsnEj9Op1oTR2XBxMn25YHxQZWfXawEDD7w0wEmTfOR4L7OhkkUx2oRZyz8DaTlCUVvXCnDMQPg72Twd9aUUI6t8uB3sNOP044Yr7IoQQQtxMJAQJIURtEhLg9Gno2/fCsSZNYMIEWLAAQkKqBh4rK/j2W7j99itr9/hx/g4dTtQTxzkQrbDqXFMYuBtaPAtWbqDXQcIK2DQYVjSFmIWgqqAxrwhBY0JHkdMYQg4curK+CCGEEDcZCUFCCFGbTZsMv/fpU/X4K6+AhYWhKlz5OqBykyZBu3ZX1GzKx79ydvDjeNt68/ofxezM7Q+OLaDFU8YLNsKW2yHrMIS9DiNioeOnABUhKCnDBYAYrbuhWIMQQgghANNLZAshxH9TbCx4ekKbNlWP+/sb1gJV2rh5zx7w8IAgc+Po0cXBqR4+2q3y0cCObDqyncL8bHx9LyqKUJYHPX4H/ztBU7X2m7W1NQUFBcTkFvNkEvTztOThrKwqfRVCCCH+yyQECSFEbV580VAau6Y9f+64o8qn/effRq7HP+wpm0Cnd3407BVkfhnFqUtL2WSRAe1+xCH+PLGfwXqHi0KQ/52XvL18JMjGwZyFedDIociwYaqEICGEEAKQ6XBCCFE3c3N0eh2/R/xOqa7maWW7Tp0j1+MfAH7Kdwe93lBA4XIcPcop7xzMSx0IKTrGwWjw9TV9z6HyEOTv7gTA8fNNoKTk8voihBBC3IQkBAkhxKX89BP07AkZGXy+fin3Lr6XN5fPr/HSz9asrPj4FMbAcZllspP/OUqezykamYViVxbLjtPgV4+NV21sbCgsLMTJ1gZ0ZiQ17wahsh+1EEIIUU5CkBBCXMratYYS2M7OfL35bwC+DK85BG2IXYFZVjOUfE/iSTccvMwy2duD7gLPI/T080VRVHacpvqaoFqUhyBVVbHQ2WJpfuyy+iGEEELcrCQECSFETVTVsD9Qnz6gKLh550KxPemWe4lOPV/l0qyCPM7bbKal2TCsSwJJJRG02ssOQY06p+Fr05gBXnp0qsLpdCesra1Nvt/GxgaAoqIi2rkqdLReBb/9dll9EUIIIW5GEoKEEKImJ09CcnLF/kDbH1/K8r4xMCuBbWs8qlyalB9HK88WvDKiC93tzSjL8obly2HixGqP3bdvHz/99NOl29XpaP/dd8T3X8A9PV7hy31tcPHwr1fXy0NQQUEBu7oOZ5Z1GZw5U69nCCGEEDczCUFCiJvegQMHiI+Pr99NGzcafu/blw2byjh5Eob2c+a3ea7ceVFhthbuLYiYeohRjZ1Z1uwc051fhsGDq+8fBDz//PNMmTIFVVVrbjcmhh/fTeTIilhwbsP8bdp6TYWDqiFoX4QrxbaWhupwQgghhAAkBAkhbnKlpaX069eP1157rX43urnBI4+gBgUz5O+2DPzwBRQFOg88x22/d2fDuQ0A6FU9D0wsYvlyQGuDrSaZ1548A8eOwYIFVR6ZnZ3Nli1byM/PJysrq8Zmiw+f5KH7k3m64G+IX07G+fh6FUWAqiFodnwEj+YUQ1Z6/V6/EEIIcROTECSEuKnt3LmTrKwskpOT63fj6NHwzTes3HOaEqdjdG1pCCLedj4cjD/OS3/+CMDS3fv5ycuN/ee+hFOfsbMQWi6ayP4/58D48VBYWPHItWvXUlZWBkBsbGyNzZ4LTwT/XTh6noatwynJT7mikaB4TQ7rC4C8lPq9fiGEEOImJiFICHFTW716NQDp6fUcCcnPB+CztYaqcM8MHwbnt2NtZoFb8n3syV1MVmEO321eCWaFPNBsPyT8jaXGjBM5KSwu9DQ8Jyam4pHLly+v+PhSIejQ0WSwyqaNQz5lln4kZNSvMhxUDUGlujASC23AN6RezxBCCCFuZhKChBA3tTVr1gD1DEFFRWBnBx98wI7U5djmtqVjoCMceRnOfs//ujyIalbIm0v+IDxtBTbpXQkuWAk+Q/F1ag3AaaXY8CxjhbiysjJWrVrFgAEDAIi7xEaqe7OzAQjVxpFp1hKo3x5BUDUEWZn5oTMvoOj9T+v1DCGEEOJmJiFICHHTSkpK4tChQ5ibm9cvBBlHaSLM3Slw3cEt7reDuSPoCuHYOzx1dzs0Gc35+tg75NrvZ4B7KyhKgcB7cGt2PxY6C6L1xkIExhC0c+dOMjIyePjhhzE3N7/kSNCxHm0BCFEyiSs0VIW7kpEgbwdzAFISj9brGUIIIcTNTEKQEOKmVT4KNHToULKystDpdKbdGB0NgG8bT97o9R5vjhwO0b9C86cgPxrr5AX01b5MQboTANOa5YDWGnyGoG35JGpOCCm6JLC0rHjW8uXLMTc3Z9CgQfj7+18yBD0y3oVeLqE0Mofjac7AlY0E3dXTjtYWYPnykHo9QwghhLiZSQgSQty0Vq9ejbe3N3369EFVVTJNLRNtDC7OIWG80u8ZOpmdhp1jwdoLXDpAxNu8NmIYHjtmMlA7hj7NAiF4HJjZAuCbNwhtWgvYswdefBEwhKBbb70VBwcHAgICap4Ot3s3Iz/8lS3Dl2N9+zGOxOixsrLC2dm5Xq+7cggaFXofhwPBKy2pSpEGIYQQ4r9MQpAQ4qZUVlbGP//8w6BBg3BzcwPqsS4oOppjFiE0nbaDrbtzIGYh2PiB+y0Q+irkR/HPt2GcPzac/LWxKO3eh87fGO7NPMy5PrP5tGNnaN0anJyIjIzk5MmT3H777QCXHAnShe/mxV+asue4PTi2JC4+EV9fXxRFqddrrxyCjp91AiDR1lv2ChJCCCGMzP7tDgghxNWwe/dusrKyGDx4MA4ODkA9QlDv3syKdORMq/uIKvqNXklroOk0UDTsSfBkwyo7ft+aQbt27chPPQ2qCuVBxS4YRVEZ3ucUang4yqZNrLA1jBANGzYMgICAABISEtDpdGi12opmE/Yl8u70X0k5uYTOHb8kISGh3lPhAKytrQFDCDqTEcP4aA3T3WBsZib4+NT7eUIIIcTNRkaChBA3pdWrV6PVahkwYACurq5APULQbbex2T0BpcyGe7wyQV8KgfeyaNEibu3dm293uLF49W5GjRzB6ifOU7pr8oV7zR1YUeKEw9JXObxpCbz8MuuXLqVly5Y0atQIMIwE6XQ6kpKSqjQbcTwHHONoZH4I8s4SHx9f76IIAFZWVoAhBDk4KOwv1ZNkWwYZGfV+VuqU11gzam697xNCCCGuZxKChBA3pdWrV9O1a1ecnJzqH4JOnSJVPY5jURjWWfvBrglHEywYPXo0HTp0YM+ePbTyzOeh4MV4OkKirlmV280IIE9XyvoyQ7sJO3ZUTIUDw0gQVN8raHdmLgCNzUF1an3ZI0GKomBjY0NhYSF+rk4A7I/vBsZpcvXx/E8tGfz3GLZ+9Fu97xVCCCGuVxKChBA3nZSUFA4cOMDgwYMB6heCiouheXMKzGJxNQuAzt/BbTvZtXs3APPnz8fd3R0K4/HmCHlFcCS16mhNgEsLAI4rZQD463Q1hqAqxRHy8jjq6QhAY0staSVulJSUXNZIEBjWBRUUFODrZpgKeD60I3ToUL+HxMczoMdD8JItU3Z/BqZW1xNCCCGucxKChBA3nbVr1wJUhCB7e3vMzMxMC0GxsZSiAcc4Grv5Gdb6WLlx7NgxrK2tCQ4ONlznN4Iyxw78thNOn4uv8ojAVg+i0Ws5p8sCIMzWlq5du1ac9/f3NzZVaSTIzo6YzoZnN3FpTkLSeUMzlzESBBdCkI2VOWY6S1xtttb/IeHhPNXZUFHuZIv9xK1efVl9EUIIIa43EoKEEDed1atX4+npSdu2bQHD9DBXV1fTQlBMDGboOdV9Lt+33A9HZgJw/PhxWrRogUZj/LKpaDAbsofnFhuqv1Vm23gQ5AaQUJxEEdA9KKhKAQQHBwccHR2rTYd7e1ooUzw8cXbvSEJCAlD/jVLLlYcggEFeHnTXbIC3367XM6I37yDRDEbb2qDTlvLMn79eVl+EEEKI642EICHETUWn07Fu3ToGDRp0IbCA6SEoOhoFaBIciF/mVtAaigwcO3aMVq1aVb1W0dC4cRPOnj1b9biqJyTjDuyTWuENJE2bVq0Zf3//qtPhXnuNQU9+wZxHk6HL98THG0aXGiIELe92LzNcVbioEENdVmkNVe36uo6ipxVscF2NXld2Wf25mKqqlJSUNMizhBBCiPqSECSEuKns2LGDjIyMiqlw5eoTgt70uJNhc94lSwcEjiYrK4vExMTqIQho0qSGEKQr4uRtn/BOWCxZQFibNtXuCwgIqDISlLHlKCMP3Uv4Tj1otCQkJKDRaPDy8jLhVVdXOQQtW+UMFkDW+Xo9Y18jSwC6BgYz2VEhzSGLHXsWX1Z/LrZkyRI8PT3Jy8trkOcJIYQQ9SEhSAhx01BVlVdffZUgV1eGDBlS5ZzJIejOO9kxNISVbqsotmsOdsEcO3YMoMYQ1LhxY2JiYigtLb1w0MwGbPywtQlnnAJtV62qdl9AQECVkaDjJ4pZOmE8fx5oAbpi4uPj8fLywszs8rZzqxyCPspdw/BEoCDV9AcUFRGVtRMHDYSGDWFUn7nsHv0nTRuNvqz+XOz06dNkZWURHR3dIM8TQggh6kNCkBDiprF8+XLstmwhKj0d+9Onq5wzOQR16EC8o4oFCh5uoQB1hiCdTkdMTEyV4/Py7OmVGkFnL0cs58+vdp+/vz9paWmGoJKdzZ5SLapGTyvzFNBaXnZ57HKVQ1C+tpSTJUBhmukP+OQTRp50Y6MvaJxDsWg2gfVLRtKkiUpujnrZ/SqXm2soB14+7U8IIYS4liQECSFuCqWlpTz77LNMcjCUhGbTpirny0OQqtbxA/ymTZwvjMZZ74jiNxwwFEWwsbEhMDCw2uVNmjQBqDYlzqzIsDHqKd9mkFp9BKZKmewTJzjkYg9AY1fDnkMJCQmXvR4Iqoag0tKWnMtxhfbDTH9AeDjt/WPwp6lhZAsY4fM9LSe2Y+yHz112v8rl5OQAEoKEEEL8OyQECSFuCnPnzuXUqVP0MJafJiKiynlXV1eKi4srgkGNSkqgXz9y1GjUwnYQPA4wjARVqQxXSePGjYHqIcjHybBXUJqfExQUQH5+lfPlZbLj4uJAo+FMI2cAmvoY9vKJj49vsBBka+6GzjwX3n7XtJtVldQD2/nHZw85vo0qDrdoGY2X32HWls2lqLT4svsGMhIkhBDi3yUhSAhxw8vNzWXmzJn06tUL13Xr4LHH4O67q1xj0oap8fGgqli4xtDU40IAqbEynJG3tzfW1tbVymQr1t0ASHI0VFi7eDSofCQoNjYWOndG1zYXawW8PbuTl5dHdnZ2g02HC3S3BLMS8hM2Q10jYQBnznDQKpOZuSUkuPS68JpaP87/7DUUW2Xy+rKfL7tvICFICCHEv0tCkBDihvfBBx9w/vx5PvroIxQfH/jiCxg6tMo1JoUg4yL9lK538pfnz1CURmZmJklJSZcMQYqi0Lhx42ojQXGpeZDnyXkbFSwtITOzynlfX18URTGEIJ2OD+7vxgeBwSiu7a94jyCoGoLGDmjGCFvQPdoXjNPQahUeztcePQAIDp504biVB/207ehsrmXWkSeJyYq5xAPqJiFICCHEv0lCkBDihpaQkMCsWbO477776JSSArNnQ2kpHDwIlaqvmRqCSjHD0qYAFysHsHSttShCuZpC0LFjR2l8ajChZrdAYSG0a1flvIWFBV5eXobpcM2b03veCaY+cA4cW1aEoCsdCSopKaGsrIzhLe9lqbeCg6VaLYzVqE0bToVaY17oToDxz62cZbfn+M1Xh6VZPtPXTr/s/smaICGEEP8mCUFCiBuKqqpERkby888/M3XqVPr06YNOp+Odd96BH36AL74gMyUV2reHBQsq7jMpBMXEMMe9H6O2bOGUPgAUhePHjwPQsmXLS95WHoL0en3FsaNHj7J+wFK+7LsXFKXG+wICAkiJiuL4WS3twnuzKTwboMFGggAKCwvZuk1DZoETabaupoWgdu0o8jpCT+d04KLpcy1H0aikBYtD7mF2vzkYu1pvMhIkhBDi3yQhSAhxw8jLyyM4OJiQkBDGjRvH/Pnz8ff356effiIoMBB27OD19r1x+d6X39vdCrt3V9xrUgh68EH23dufpWaxFNkZChccO3bskpXhyjVp0oSioiKSkpIqjh09epRknTXJZYdQH3wA/vyz2n3+/v5ozp0j3C6IQ8PuYueZ+4ALweBKQpC1tTUABQUFnMzZT5OkbDY66SAjo/Yb8/Io27KddE0mwVoPUC76NqEoMOk4A+77lYn3+DDiTj3xWcn17l95CMrOzq74WAghhLhWTA5BiqJoFUU5qCjKCuPnwYqi7FYUJVJRlN8VRbEwHrc0fh5pPB9U6RkvGI+fUhRlYKXjg4zHIhVFeb4BX58Q4iZy8uRJYmJiePrppzly5AhZWVls2LCB0aNHw7lzkJLCPJfzACxuEmgIQcZCAM7OhuprtYag4GBibEoAaOTVGjCEoJYtW9ZYGa7cxRXiMjIySExM5PdSO8KOnSJp+Z+wa1e1+wICAjBLSuKYrxUAoZ6G6W8JCQk4OztXjOZcjvJ7CwoKcHGwJEPVk2VtwnS4bds41/shTnvZ85jboEtepqQk8lH7B4kPHUj7z/pQUFpL1b0a5Obm4ubmBlwY+RJCCCGulfqMBD0BnKj0+fvAx6qqNgEygYnG4xOBTOPxj43XoShKS+BeoBUwCPjSGKy0wBxgMNASuM94rRBCVBFtLFwwbtw4wsLC0Gq1F05u3w5ArmUeAM+2awYpKRXrgiwsLLC3t689BP36K8lZZ7DWWWMfeCdQe2W4cuUhqLxC3NGjRw1tFrcB4EDzgBr3CvL398e9pITkxoby2S2DDcUIrrQ8NlSdDufj4gTAjti7ICio9hvDw9G4gIdDBp5BHS59XWw07b3m81nrg6SqJ/nfHy+a3DdVVcnNzaVFC0MZcZkSJ4QQ4lozKQQpiuIHDAXmGj9XgL5A+fyO+cAI48d3GD/HeL6f8fo7gIWqqharqhoFRAKdjb8iVVU9p6pqCbDQeK0QQlQRFRUFUPPUtPh4St3dyXbYz0iLJnTs09Vw/KIpcZcMQWVlMH48qcUJaItCwK0LGRkZJCcn1xmCAgMDMTMzqxgJKg9BjXy6AHAqwBrOn692X0BAACeBzKBctECg3wBKSkrYs2cPISEhtbZZl8ojQX5uTgBkhLWAjh1rvzE8nB13ZjM5BbxahF76us7d4Whn7vZIp31+M34/9qvJfSsoKECv11ess5IQJIQQ4lozdSToE+BZoHzVryuQpapqmfHzeKD8bUtfIA7AeD7beH3F8YvuudRxIYSoIjo6GmdnZxwdHauffOklSs5E85l3Tx50jeTNXb/C2rUwsGLmbe0hKD4edDq8vBJp7u4KqmpSUQQAMzMzAgMDq4QgZ2dn2ra5B4BDOs8aR4ICAgLYChS5J+BvpsXc1odFixaRlJTEI488YsKfyKVVDkHerrZoVA3+tosMG7deyvHjsGULy72c+Uf1RONSy0gQwKRZsBHuCzhNqUUqafm1jLJVUr4GqHnz5oCEICGEENdenSFIUZRhwHlVVfdfg/7U1ZdHFEXZpyjKvtQafqAQQtzcoqOjCaplOpetow2PhZlzqhRezf6eUy3ag4NDxflaQ5Bxqt3JzsHsCjoIimJSeexylctkHz16lLCwMFo1C4BSa6JtLMBYqKAyf39/XIDRLi35ssv9qKrK7NmzadGiBQMrhbfLUTkEmZsrTAgK41azfTD9iUvfNHcu2NmxPN+MkuQuYG5feyO33AKx3WlpfHvsZPqJ2q83Ki+P7e7ujpubm4QgIYQQ15wpI0E9gOGKokRjmKrWF/gUcFIUxcx4jR9QvrI1AfAHMJ53BNIrH7/onksdr0ZV1W9VVe2oqmpHd3d3E7ouhLiZXDIErVsHffrw8YIf+ct6Ci0sDQFg5Yp/4K23DFPdqDsEFWJFkZqJxr4pYFgPZGtrS0BAQJ19a9KkCZGRkaiqSkREBGFhYdjZKdwSOZGegbfCtm3V7nF3d2ebonDL51EM7j+frVu3cvDgQWbMmIFyibLapqocggC+6zKW0Y5Abi1vIH30EVkbtlHqcIqWdp6mNfTcG9wS2Y09fV6hg3cdI0dG5SNB9vb2+Pn5SQgSQghxzdUZglRVfUFVVT9VVYMwFDbYqKrq/cAmYJTxsgeAv4wf/238HOP5jaqqqsbj9xqrxwUDIcAeYC8QYqw2Z2Fs4+8GeXVCiJuGqqqXDkGbNsH27Tx/6D0m/TKHgE6LAdh+bD+88ophmhd1hKCYGBY7tWfkyQOsTzeU0zalMly5xo0bk5WVxaFDh8jNzSUsLAyAlSN383LntTXeo9FoiLLpxGCnSazZnsTs2bNxc3Nj7NixdbZXl/IQlJ9vKLrw0WfO6FUgL6X6xSUlhul6Gg3rcktRNTpu8zKx7HW/flh+uINnX3uD+d9XH+2qSXkIcnBwkBAkhBDiX3El+wQ9BzypKEokhjU/3xuPfw+4Go8/CTwPoKrqMWARcBxYAzymqqrOuG5oKrAWQ/W5RcZrhRCiQlpaGgUFBTWHoB07iG7fhRKHU9zhW0jLlr1RCl05pjWOehiLI7i6upKVlUVZWVn1ZzzxBIenT2BVaSEl9l4AHD9+3KSpcHChQtzSpUsBaN3aUGI71d6Bg2kRMGBARaW6Crm5JHUoJWHosxw6N5vly5czefLkij1+rkT5vkhpaWkAfGX/JX0SgKO7DMGw0sauzJkDISEQE8PZU0dobA5tA7ub3JalPpdC2/dYevJDk66XkSAhhBD/tnqFIFVVN6uqOsz48TlVVTurqtpEVdW7VVUtNh4vMn7exHj+XKX731ZVtbGqqs1UVV1d6fgqVVWbGs+93VAvTghx8ygvj10tBBUXw549/NLCUI76btd9aMwsCNa4kW21B5ydYc8e4EIwyKxprxwnJxK1hh/GmwW0qagMV1dRhHLlIWjZsmUAhIYaKqu9djaBUXFJsH49XLwfTkICKW6GMHLsQCTm5uY89thjJrVXFycnJ6ysrEhMTARAo1iTUaaBkUPh11/BuC6H1FR4/XXo2hUCAghItyQyCG7tMNT0xn6ZS+O+L7DX/l2TLi9fE1QegtLT0yksLKzPyxNCCCGuyJWMBAkhxDVzyRB04AAUF/OPvQ4t0DmgFygaFofmEN63EXTuXC0E1Tgl7uOPOR1/HkVVCGx8R72KIgA0atQIMBRFCAoKwt7eUFSgNNODVJ2KXkv1MtkJCaQ7GTZn/fvPtdx33314eXmZ1F5dFEXBx8enIgSVlTbhZJYffLTcMDLm5GSYBvfII5CXB7Nng6LQvcURdKo5Zs7NTG+saQcaq+ZkmmWSV5xf5+UXjwRBzRumfrpoA59vnGV6P4QQQggTSQgSQtwQykNQjXsEDRzIGfPjtLYEJ/8+ALQNvJVGhUcMISgqCoqLLx2CdDp49lkS8pIxK/LB3D6o3iHIxsYGHx8fgIr1QABO5j7ogCQvbfUy2UFBpBlHgnJSCpkxY4ZJbZnKx8eHpKQkAOzMnNCZZYOigJub4YLHHoNly2DKFGjZElVVGRv9DR8VuYLWwvSGQkLwz7YFYPvJU3VefvGaIKheJjstDaaf6M+0bU+z50DdwUoIIYSoDwlBQogbQpU9gjIzYeFC+Okn6NYN1qxh9+hJLPMGPHoCkGTWjo8T4lnQpj2kp4Ol5aVDUEIClJXROTiR9u6GSnBHjhzBzs7OpMpw5cqnxFUOQRpLQ6nrE6Uu1UeCGjemxDkXBxT69upLmzZt6vNHUqfKI0EhfnZgmY0+5o8LF0ydaghCr78OwPojxwjPycSp2ZT6NeTlRbMMQ7HQo8nH67w8NzcXjUaDjY3NJUPQslUZFR//smJp/fojhBBC1EFCkBDihhAdHU2onx8MHgzu7nDfffD55xXn/RzTCLD3ACdDkNC4d+LJNFh1+ncwNwdqmQ4XFQXAstaF7ApTiI2NZf78+dx22231KlXdpEkToGoI8nULBiCyeRjY2V38onip3UP0O2rJSy+9ZHI7pqocgiYP6ckMZ4Wy9L0XLmjTBr74wrBuCnjrz2WgKvQKnFS/hhSFrsUWaIF87ZE6L8/JycHOzg5FUfD1NeyNffF0uHWHvgJgasFQIjaNrl9/hBBCiDqY1X2JEEL8+6LOnWNeTg6cOAHPPgvDh0OnTgC8u/Qv1p+JZcmUczhqDF/WPAN7EGSmEF0UYaiGZm2N69SpQA0hyLhHkKY0BcVqII8//jgAs2fPrlcfaxoJ6uzfjNHrxxD0xD1w1x1Vb3jiCUKjoll8uOCK9wWqibe3N7m5ueTm5nJbk4EM8HWHspxLXp+omU1AaTAt/Ou/Lsli6BskaVJw6fVUndfm5uZWrJmys7PDycmpykiQTgduOecY76dgn/8DO3aaU1wMlpb17pYQQghRIxkJEkJc91RVRRcVRWhmJrz3HrzzjqGamVYLwI+7lrAp/RfsrG0u3KS1oDRjEAdydbBrF/z1F/b29piZmVUPQTEx7HRswq1xyXyw6zx///03M2fOrHn9US3uv/9+XnnlFVq0aFFx7JaO7vx22+/0Ddhb7Xp9QgIhXsOY/t7GerVjqvI1SklJSfz+u8qBc45kpqbVeO3uXauI1GQyyKVFjefrNGIij//6Iv0H1p1UcnNzcXBwqPj84jLZBw/Ctz98w/2+B/AJW0KjKS3YvkuqxwkhhGg4EoKEENe91NRUThcXs/Dll6GG4gEpmvX0cShFWxhd5XiwXXtK7E+TFRgCZ8+iKErNG6a+8gqnP5jO7iLYdvAEYWFhTJ8+vd79DAoK4o033qiyuaqNrZa1ZU4c3fE7jBxZ5fqs3EwSb3mHRLP3692WKcpDUGJiIpG6jXQsOMOujKgar809/CNT7cwY1GY6e/bsqfIrNja27sZycvDxeJpzTftRUlZax6U5FSNBUD0E+TVPZu3+aLoPbYu36z5OOJ5k7YHlJrxiIYQQwjQSgoQQ17fcXAo+/BAF8AwLA03VL1vR59PItkqkn2MOWFWdxtXD3w2NomOfr85QHCE7u+YQpCjEFRiqmsWcSePrr7/G3LiOqCE8FJvD7NzUik1bASgpIc5MR6EKbramF1+oj8ohyMPREYDUMofqFxal0svmb3omPcwzkyfTpUuXKr9atGhR9z4+x47R2OMbYn02sudsZK2XVp4OB9VD0NxNT9L/rxAKdbH0bzcWDWATvMi0Fy2EEEKYQEKQEOL6paoweTIBs2bRhhr2CAJ+3boLgDDblmBmXeXca3cPJ68J9G9p2IuHc+dqDkFPPcXWA0UAdOt8O927d2/Ql2FXZkOyUmqoDqeqhoNJScR4GoKWt1OjBm2vXOUQ5OVsCEH7dQ9Vuy7n5OfsKimm+Z0PcvbsWSZOnMjKlStZuXIlr776KgUFBZw4caL2xpo2pXG6oaz2xiO1X1tTCEpJSaGkpITERFh0aC0drSxwd/DH0bMH7a00bI7bWZ+XLoQQQtRKQpAQ4vq1aBH8+is7BgzgEBf2CNKrelLyUigqK+JcXAq+WujW5LZqt1s7NsLazh9sEyE4GHJzq4egkhLUTz7hTHoclFry0ZufV3vOlbJXHcigBEpLIcdYmMDJiaTeoQAEel3mOpy62rW3x9bWlsTERHxdnQBIz8+BvHNw8FlQDXsUrczTc2s87C80lLceMmRIxa8xY8YAhk1ga+XqSth5w7eU/dG1V4iraU2QqqokJSXxx/IEIvQZ9HVtbdjTSGNGd0d/dmYksccYVCsrLQW93qQ/DiGEEKKChCAhxPVrxQrw9mZhcDAuLi5EFUTR4vNWmL9hgdcsL37Zspu5YxoR3wjcGvWr8RHPnXXl6TO74Nw56NWregiKi0PR6+niupnW2uCKMtoNKTO7F8cyjVP1yvcKcnREF1QGQPOgkAZvE0BRlIoy2cHehpEgG5csSFwDJz6E4+8B8MbaM9grnpinGEammjVrVvGMJk2aYGVlVXcIAnwUR/zNoMSmehGIympaEwSGvYK2nPgCFRjZ4b6K8718etLSzIyVm6KrPEeng/YtU3h4XM3FHoQQQohLkRAkhLgqjh8/jv5K36I/ehTatCEqNha3dm70+K43p6Jz0G99Ds2az8mKagRaa/C7E9xrnsK2I0fLwoIcKDDsl1MegtTyaWnGPYJ+6JrFzt5tr6y/l+Bo7kOpdSpqv74XpsOdOcMEv+GcGfER7QKbXpV24cJeQc4OFrza61Xu73kLhDwKQffD4Zcp2HA7p/Qr8csfzpnTZ9BoNBX7HQFotVpatmxJREREnW0pDs1pawn2dhm1XlfTdDiAqKhE4iyW4aGFjqEX9ioaOfR7cuYVc3RH8yrPmTuvlBUve9E5rJ1JfxZCCCFEOQlBQogGd+TIEVq1asUrr7xy+Q9RVWjUCHr3Jjo6msSmZuSnutH2wDZ2P3cvhXPSearfZnDrCr2WgIVTjY/xs+1GQhlEvfICPPQQrq6ulJSUkJ+fb7ggOppSay0uTlBi2eby+1uLOxwH83LaEMp+/wKaGgPP11+jG/YijUKfxEJrcVXahaobpr7U43U6ufc2TDPr/C3Y+LH13ApUi3zubXcHp06dIigoCMuLNuQJDQ2tdSTo2LFjbN68Gaa8xdLuy/nw1h2XvLa4uJjS0tJq0+EAtm+HQQkD+c7/NjTmF0ISWgt69VLYsq2sIkOqqsqn2X0IioapxfGkZhTX689FCCHEf5uEICFEg1u3bh0A7777Lps2bbq8hygKLFmC/plniI6Ops2ZF5mQN5d9Tw6jc1prLE6+Dml1L5YPCxwCwF9R5rBpU8V0t/IpcUUpKUR6eRAQBW/sj768vtbh6XGOvNlzKWb5Jy8cjI/nvn6D6fjA1SmPXa48BKmqSnDLDCZMSzacMLOB/lv5KqUdSoktT9zej1OnTtG0afVRqbCwMBITE8nIqHmEZ/r06QwfPpz84BA+2TmMoGANmZk19yfHuCaq8kiQg4MDdnZ2JCVls+L4J/QbtbbafZ4dhlM8xZZDEYZ1QX8e/4MT+TvobhuCDtgesa8efypCCCH+6yQECSEa3MaNG2nUqBEhISGMGzeuejU2U6gqy4+vpfPn/SgsLeSJu/Yxd8idaErTodNXcGcidPqyzscMah8GwA57c4iLw804AlHepzWtWvF0kA1xZWDt6HXJ51yJQlsLvsmG2JcmwuzZhoPxcRTe8jP5TT69Km2W8/HxobCwkOzsbDKHDGG9yyiScpMo1ZWitwli15e7GRC3EwcbS06fPl1lPVC50FBDAYeapsTpdDp27dpFbm4uy375hca5jxP8dDC/7NhcY39yc3OBqiFIURT8/PxI9fqSh77+DFvb6ve19jIjX1PCzphtHD9dzBNLphBmY8cXvScAUKBdX98/GiGEEP9hEoKEEA2qtLSUbdu2MXDgQH777TfOnz/PxIkTL6zBMdXMmbz2xqvsTz4IGmd8vLxQbPzhtnAImQzWpgWWdo198dW70qrNH6DX41tq2MizIgStWYOrnxkAzQM71a+PJjqSVMLk87DeBoiJMRzMiCNFr+KgNHwhhsoql8m21nmTYbcDn9k+WLxlgd9sPzp3MGfS8DASEhIoKCioMQSFhRmCZE1T4iIiIsjLywPg5/nzCT37I1F20Ww7U/PITE0hCMDX148038Ms3jmzxvsGt7sbBUjT/Mb9sz4lSZ/OO37BtGoyHDMgImmPKX8cQgghBCAhSAhRTzqdjrCwML777rsaz+/fv5+8vDz69OlD+/btee+99/jrr7/4+uuv69fQkSNEOWXjnBsCJZk4hgyFwQfBLrhej9FoFOJHPsZMr0wwAw/jD+HlxRGGLVjAodguAHSoIQA0BFsMQSTWwQpSU0GvR1eYTLIOnLTeV6XNcpVD0Ajt12j+WIzD1q+YEPw6E9o/yPLlMGoUnDpl2Cy2phDk4+ODs7NzjSEoPDwcgEmTJrEmPJygTHDTwtmMmivElYegymuCAGwc2nJG1dPBsnlNt+HsN5C2lrD8+EYi3d5mgA0M6zcHC4dmeCnB/HFQZ+KfiBBCCCEhSAhRT0ePHiUiIoKvvvqqxvMbN24EYIBeD6WlTJ8+nYEDB/Lkk0+aVGGsnP7oEfLcoxkXso/BbYx7BCmX+SXLoRmgh6EdsK+0Juj04cMMKyig2NEwStXYzf/ynl+H5gFuKCqcN1cqNkxN/+BtUnXgahVwVdosVzkEff+ZJ6VH7iJ7w2S+H/8qb/V9q+K62kKQoiiEhobW+PcXHh6Op6cnM2fORKPRkJplTQtzOK+r+e+6pjVBALbGAbEgp7CaX4ilC12tXTmSF8d6Hw2fN78FPHqCRkvb+D/JXVRzKBdCCCFqIiFICFEv27dvB+DgwYOcOXOm2vlNmzbxgq8vTvfeC198gUajYf78+djb2/PCCy+Y1kh+PifSkykzK8Zfb8vBJJdqPzTXx2NLIukUCyWzn8PujjsAQwjauXAhADN67ecOz35YmlnW9pjL5uRghlroRnhMqGEkSKslO1ALQNPARlelzXLe3oaRpqSkJAA0l/iqf+rUKWxtbStC08XCwsKIiIioNq1x586ddO/eHR8fH4YMGcLOU7m0sIAcm+gap0Beajqcxs5QScHf2TjSV1gIPXvCU0/BXsOo0u2NRvKKm54WDlk06zar4t7Rrcq4t/ESLmfpmRBC3GyiomDKFCgo+Ld7cn2TECSEqJft27fj7OwMwO+//17lXHFxMeHbt/N4YaHhgPE6T09PevfuXTHaUKfjxzlq3ohOWiuss93x9a/fFLiL5Wsd2FcMp87tw9zcHAcHB9LT0znzzz9gA5O9j7Os18AraqM2igLmxZ5k2OugTx84e5aQGAcK7v2VF4Y/ftXaBbC1tcXBwaGiTPalnD59mqZNm6IoSo3nw8LCyM7OJi4uruJYSkoKZ8+epVu3bgBMmDCBPWlFdNdBV2cPisqKqj3nUiFIa5GNtQIO5sbpgevWGWpmz54NH3wAwODbv+H5idk49PwF3DpX3NvYZwmBt09n3e7DdfxpCCHENZSa+q80O+OVZL469iYnz5T8K+3fKCQECSFMpqoq27dvZ+DAgdxyyy0sWrSoyvk9e/YwrKgI74wMWLgQHnyw4py/vz9xcXGmFUiwteW2obewp1ERxXF6goKCrqjfLXxbArBvRQR07oyrqytxcXHkHDmC6gVlKkRnhFxRG3V5MOMJfmgEzPoA1q4lc/SzZBX2xdLcoc57r1TlvYIu5dSpUzVOhStXU4W4nTsNJcq7dzdsVDt06FCWuLqyYcMdvNz6HLmZ1tWec6k1QQ4xjzDz5ANkZVgZDixbBk5OMGkSrFwJxvvMrB0gaEyVe819AngqDTaf+qPW1yiEENfMli3oPT3g11+vabOqCruOHYG+r3IweVbdN/yHSQgSQpgsNjaWhIQEevTowejRozl69CgnTpyoOL9x40YeAwpbNmO2XwLZeemGaU0YQlBRUdEl95qpomVLnN+7F4CtR5OuOAR1bGIYSdqeGgAREbi6uLB27VqKy8pIah6A/Vl4btdl7mdkojkvQH+/DVCYDPHxfDKgNZ0+mEpKZt5VbRfqDkFFRUVER0ebFIIqF0cIDw/H3NycDh06AGBhYcHwBx/k13/O0rOXgnG7qCrK1wTZ2dlVOR7YoRvP/eZOXEISlJXB8uUwbBiMG2f4N7R8ec0dKy6mXbNbsFUgTV9zMQYhxH/Y/v1grAp6Lf3x7c+YvwI/ffAelFy7EZmDB6G/XTJh5jB7y/tERtazMut/iIQgIYTJytcD3XLLLYwcORJFUapMidu0aRMvtmnDM9OG8NT6p3j6jm4wbx5gCEFAlelUl5ScTNiCFxiVPYBNEaVXHIK6NAsAVSHargAKCwmxs6OgoICfra2JnTiCIhXcXJpcURt12V2QwRvpQOcQ2LSJ/F6HSGj2Jy6OFle1Xag7BEVGRqKqaq0hyMnJCX9//yohaOfOnXTo0AErK6uKYxMeeogvQk4Q/Ko9c89Oq/ac3NxcbGxs0Gq1VY6fbDQBl4FfsX//fsM0uPR0GDECevQAX1+4aOolADodBASgfekzWllClpWJ0y2FEP8Np09Dx45w553XtFlVhYl6PXoNPNCkFSdm1vD16yr54fcoevf7kBmWCsctsxn53Jpr1vaNRkKQEMJkO3bswN7enrCwMLy9vbn11ltZtGgRqqpSmJfH7vBwuvbvz45z+wE43qIUjNXi6hOC9G3bcDzzMPuPBJFTyBWHIDtrS9orrRjZ5iewg2bm5gD07t2bqKwUAEL9r+50uF8OxfNaBuTal8DBg2RZFGGnt8TS7NqFoEtNRaytMlxllSvElZSUsHfv3or1QOVatmrFaBsFW6s8kor3V3tGbm5utfVApaUqfxz/k1t7aNm4cSOqVguDB8PAgYZKDnffDUePVn83d+5cQ7W9frcRZufE0ezkWvsvhPgX6HTQrRvUd5uEBlCwajN3KH+yh86GZHKN7NxdRknwYkLNHfFaO4t3f7+6BXAqS7R+m0eUCAYEjMBR8eWE47scPHjNmr+hSAgS4iYWHx9PaQNOA9i+fTvdu3eveBf/nnvu4cSJE0RERBD19tscLC3F1/xW/vBMYKgNRNhnw+bNoNebHoJSUzlcXIxqUUArG8PeL1caggD2P/weU5wAb2hsPPb9iROs2GYIP+0bB15xG7UpzjZ8E4xys4GyYjI0JTjqHa9qm+V8fHwoKSm55FTE06dPA9C0adNanxMWFsaJEycoLS3l4MGDFBcXV6wHqqzYLJBmFpCuRFY7l5OTU2090K6D8eTqVZxpRmJiIqc9PGDVKiifMvfmmxAZCcbwCkBWFrz8sqGC3N13ozF/ktTiUiLOSYk4Ia4rCQmwaxc8+qjh//E19PffUfz94lh+vtvdUKHmGpk1ax7Fltm85A73PejCL4ltOXfu2rR9ynElvazBr9/rvOhdhpvfQd5/PfraNH6DkRAkxE0qNTWVkJCQ+m9SeglZWVlERETQo0ePimMjR45Eo9Hwx2+/4fHNNyTYQr/bNtPE6yxtvaYQbONGXl4GHDmCp6cn5ubmdYego0f5x1jWuaeT4RtmYGADBBR74w/4d3VF7+uLLeAdHc25EkMwCPO/uiHIy8kw3S7GzBaen0ySDuxV16vaZrnKewXV5NSpU/j4+FRbp3Ox0NBQSkpKOHPmTMUmqTWFIPPAdjRStGSap1F8UQivaSQoItJQYKG5TxvcgPClS6s+0M7OMCJU+Z3cN94wTJl79lkYOZI7cvrCO/kknb02f6ZCXI68vDzy8q7+OsDrSkAAxMeDvT08/DDo9demXVXlt9xYMC/il/gXYM0aGDPmqrevKyzhWIQ199nBifXZeDcahdkzbjz15iZDILyKVuw6zrGcZEZ5+IFLGE+0GUNMSB7H9+WQmHBtRsK2boXkG2RQXkKQEDeptWvXUlRUxJ49exrkeTt37kRVVW655ZaKYx4eHvTp04fS77/HLTOT50ba033bbLI8buOtcXM4NH4Zdhpg40Y0Gg2+vr51h6CICI42MQMgLUZHcHDwFe0RVG7knHW4n4W8O2+h9xtv8NPMmWALr9y6mkeb3IONuc0Vt1GbYE9DsDt4ygccyihWIdjD+6q2Wc6UEFTXVDgwjASBoULczp07CQwMrHFfIevWbQjJ1aBX9ERlRVU5V1MIij5vmKvRObQHLzo4MO7FFw0jPZWtWAHBwYbgk5ICc+bAxInQuzcsW0bXrL/5ctwMEk5W37tKiOvFmDFjuPMar0+5Lvj6wqxZsGWLYRrrtVBczMmwWAC22egZ+FRTMn5bY+jHVbT7i73c2TSeX73hly3gFbcOW/MiNulfo+jpl69q2w+/+wsArcpuoVWrViTY34tWsWTGHW/x2we7rmrbAHl5MOKJrYx55MZIQRKChLhJrV69GqhazetKbN++HTMzMzp37lzl+ANDhvDk+fP86qplf1ABw9yG4NT5c9S8GPTbwzj09CPQty8Afn5+Jo0Eedq6MdkR/lq9j9tvv71B+u/mZEuaHs7EHybAyYm72rUDbxhiF8WXt45tkDZq09THE4DoVs1h3SkODF/LismLr3q7UHsIUlXV5BDUvHlztFotR48eZceOHdXWA5Wzbt2ajjGljDSzw/yiAgg1haCy/BRCzKFN0+6M0mrZo9Wiv2jKHL6+EBMDS5aAp6fhh6m33jKMEjVrhmvcHlLbfc2q82/V+TqE+LccOXKEjRs3mlYl82ag00HLlvDtt4ZRoPvuAy+va9L0yg27yPA6xlAbaOmZS9cOHzG99Sx46SU4cOCqtet8/D3G9prJthMawrqNYOavOh53VMhutI2Tm3+EffuuSrtnzkCK22aC4/148NUtHD9+nIcfe56ikEd40fsP4gqHXfV1UR98nE9mv9EUDHjgqrbTUCQECXET0ul0rF27FoATJ05QVlZ2xc/cvn077dq1w9bWtsrxu1JScAQm9A2EUmtu9/kBHJqi2AYwOdGaB82XQNu2wIW9gmo1ZgxvD1D42M2eM4nFDRaCWhs3XA3fZgaNG0N0NHhBYhlsP371F622Dvbl1TPP8lLvDAo37GXfDnfyi52uersA3sbphTWFoLS0NDIzM00KQVZWVoSEhLBq1SoSExNrnAoHoAwZwj2bQ0hc+Q4ZZxtXOVfTmiDdmad44ORnOGVo8c/M5I+yMo4cOVL1oW3bQkgI/Pij4fOuXQ1hCKB9e9h6ho0FsJ8Ndb4OIf4NZWVlxMfHo9fr+eeff655+3PmzKn4vnDNHDmC/sRJWi8v5JOfzhn2zBk+/Ko3W1payidT3sW10I0e9h14dbkDH3guYkG7BRx27gX33GMYVW5oRUXMLF1D79xSPvtHzwcffMDt9z6O+V4VBw28NcycwlHj4NixBm968e+lDD06nRcP+xCXnMzkyZPZtGkTSyOCGWCjYa5XBtveuLp7FiX5vg32yUycf5jMzMyr2lZDkBAkxE1o3759pKenM2jQIEpKSoi8wsWoJSUl7Nmzp8pUuHK277zD6P7tKG51jkGlPRhzh4fhhKJQXNaICDWNnJV/Q3Q0/v7+FT8EXIq+961keeRyNtMOBwcHevXqdUV9L9elmXGvoJymkJYGlpYUdQ2hcTS8tPfqT89wdtLw+rQsGrvsYndXD+45/DDfLq9ePe1qsLKywsXFpcYQVF4UwZQQBIYpcQeM76JeKgRhZoa3nw+7dk9g3m9ZVU7VNBLUa3grfPo8Dn//DcBfwIYNF4UZRTH84BIeDo89VvVc+/YQnUBTcweSzVNM25BXiGssISEBnc5Q7KV8pP5aSUxMZNq0aUyYMIFC495t18TmzUTYO3O043RmRDchM1M17AP23nvwx9Xb3PjLL75gYew61hz257lH9uHW7U2KNhdC8CbGdRmDGhcP33/f4O2uWHCGxUEKTsecSbW6lZCQEGbOnMlP29x4xE5hiW8pDxZNRt+1O0RF1f3AejjxzzZWTL+HPNs9PProo8yZM4devXrx2FOvM6HHN+RrodeBTTz7vO6qLItKL0hnUfz73KHC1sgCHB2vTeGfKyEhSIib0OrVq9FoNDz11FPAlU+JO3DgAEVFRVVDUFaWYW2GVotd92b4aOH9frdXKcAT6tIfHfDXG4/Cb7/h7+9PaWkpqampNTeUmcmBP5fitX8f/f+2YODAgVhYNEwJ6baNfEFnTopDPFgBXboQ26MlRSoEu1yb8qUfx0fzVXYuqd1yiXI/gKVjzjVpFy69V5Cp5bHLla8Lsra2pnXr1pe87sni83Sa6cY/1lWnzNUUgr7J6kKc31OwbBm0bo1Fs2ZsNJZWr+KBB8DBAYYMqXq8Sxfo3JmOzt4UqGXEZMeY9FqEuJaio6MBw8js6tWra30zqKEtWLAAvV5PYmIi33zzzTVrly1baO7nwH32hnWeD7z/p+H4kiWGNzPS0hq8yfPnz/PHq69iZQeBD4xDo4GHH34Y1xgrGqnWJLSZxuKPDsEzzzR42x8d3o3OvJTIPdlMnDgRMOyx9tLrHxH1l8rE5OdYlDKNUYF7yHMLqvEZBw8erHdQjYuDiE6P8l2Gwtwod9555x00Gg3fffcdRUVFfPHhGp7p+gy0/56v02/l/gHnKMlouAIdsbFw7wePkKfqmXZSgWHD0Wiu/4hx/fdQCFFvq1evpnPnzvTo0QONRlOxt8vlKt8ktXJlOGbMgDZtiD4YwyzvDaxyakfr2yZXuW9g1wkAbOtkCxs31l0me9s2Vr1sWNORfMq5wabCAZhptfSzGsrE5ouhGXD2LCdyDOtVWvkENVg7tZl7/BwL8yDH0/ANrpnPtZkbD7WHIAsLC5Mr8IWGhgLQuXNnzCuXrL5IcFYZzaxKSNNe+LsuKyujsLCwSggqKtazJX4P2Qkb4aef4Jtv6NevH1u3bq1e3j0kxBC+hw6tevyWW2D3bkIDuwCwN+aiqXRCXAfKQ9CkSZM4f/48B6/R5i2qqjJv3jx69uxJ3759effdd8nPz7/6Dev1sHUrmsEtWOBZRpgFrCh+luPndIZRmMxMw/eRBvbiiy/SPl8l5Al7JqY/AaqKjY0NM554kr7RhWSY5XPA91XD6PLp0zWOCEVHR9f7z6gwt4wos8/wN4NbHS0ZOXJkxblx48aRWNKNZYvn8e67BZxr/jEdh+8hdv1pmDoVVBWdTsezzz5L+/btef755+vVdql1JAfsTxMRr+Hl9z6rGIVp2rQpr732GosXL6Zbfle+CvTj7hY7cTNfzuCACLIPN8xo1BszS3nc+hCfWCl8sERlyMVfo69TEoKEuMmkpqayd+9eBg8ejLW1NU2aNLniELRjxw6aNGmCZ/kajDVr4McfOfjwUM7FT8TVPgv/IfNBU3URfFjrUFwKvdmisYbt2wkw3n/JEHT0KGdalwBglxvDkIvf8b9C65/8hvsdAC9g1CiWrzeMfrRrdHXLY5dT8jw4XwZZdkUAtAq8NtXhoPYQ1KRJk4q9n+pSPhJ0qaII5QoDg/AttCVbm09aTi5gGAUCqqwJ2n3oFMUqWBQGQ2AgdO1K3759ycvLY19NC4hr2esjIPQTyPNgycpck16LENdSdHQ0iqIwadIk4NpNiQsPD+f06dNMmDCBN954g/Pnz/Pll19e/Ybz8ym89wHu0GVyrARaZY9DdYrm/VW/QlgYvPgi/PwzNOCfw969e5k3bx6BjQaSZJ5LgLV/xdeMxx57jCV/2XGXpTlJsctIPLafnHe+gEmTYNkyIiMjeeedd2jTpg3BwcFMnjy5jtaqWjJzC+edjjFIMadFj3HY2FyoOKrRaJgzZw7p6WkkHutBbvtviOrdjfHffAdz5pC3aRPDhw/nww8/xN3dnV9//bVee/z9vHUmAEpWE0aPHl3l3NNPP02bNm14bOpU7huyme/bD+bz8dMZ9egLfPrQNCgqqtfrvNixY2Cb9BXD/c9xzxY3/tFpuO22267omdeKhCAhbjLr1q1DVVUGDx4MGH5ovZLpcKqqsn379gtT4c6cgYcfpqhVM8Z6bOGBIxsobfUsLo3Cqt2rKPDS7S/waOtOUFREcEoKUEsIioggOTgLH61C+7BWuLo27J4vRao7eYoj6kDDNK5YbTYAHa7yRqnlrBV/EkrNSC4Dc70Wb+drN2fax8eH5OTkalNwTK0MV65x48Z8/vnnPP7447Vf2Lw5ARnWAGw+alh3VB6CKo8EHTtrKNvaSOcCX30FJSX07t0bqGFdUG1efhm/fr3w/S0F85P3m36fENdIdHQ0Pj4++Pn50alTJ1atWnVN2p03bx52dnaMGjWKHj16MHDgQN5///2K/49Xjb09C4dMYpXzLn48a8fC9xcwM/ANfrjL+CbIiy8aKsdNmQINtKn3woULsbaw4KCf4c2021peGJFwcnLikclT2TO7lK993LEKH8jEhDs55+lL4ciR9A4J4aWXXsLOzo7u3buzZMmSeo0GHdmeQkJjPZZ7S5k48eFq59u1a8fnn3/OT8ujaPcPdLWELaEfMf1/8Mvdo1i3bh1fffUV33//PWlpafUqYvH7vtWEmcPjTy5GueiNInNzc+bOnUtKSgoDh9/PWb9PoP1slntsYdYdK8j57crWxD7xVgTHur5JtF1PHkjyoUuXLg3+vftqkRAkxE1m1apVuLu706FDB8AwfSkyMvKyF8OePn2atLQ0QwiKjIQePaC4mBnTenA88yyP+3+OVdirl7z/yS4TmN6tC/goOB48iJWVVa0jQQm2mfiW2TDs9oavIDT6k0+xP51Nlo85NIF3ev3BO12m4WxzbcKIjXlLcilDBZra+FT7ZnU1+fj4UFZWRlqlOfhlZWWcPXu2XiFIURSmTp1a4/5AlVm1a0eXREN1oGLrQ0DNISg69TAArc5lGObom5nh6upK27Ztq60LOnnyJPfddx8xMTWs+bGzg2MR/Dl1KC3MvjL59QhxrcTExFRMOx08eDC7d+++6qWy8/Ly+P333xk9enTFZsivv/466enpfPHFF1e1bSIj+TXcMMqjT/KiefPmuIe/j7L9Ho7u2IHe3NIwBXbhQqhlam19JCUl4ePnR2THdBw10KX1+Crnp0+fTlquFd1ezmNnWilrQp6kQ9HDWOv1/DBqFDExMezYsYO33nqLgoICVq5caXLbt7f+BUc0HE9pUfH992KPPfYY0dExtO33Jue/dWBwKXzqDRZBVqz/5x8mT57MoEGDcHNzY8GCBSa1q6pwvMCe0uNtaNy0VY3XdOzYkYULF3Ly5EnatG3L3O32vN5/FjnAFyu+uKLS2Vu0r7JNX0Jxy/dYd/hIxRuwNwIJQULcRMpLYw8cOLBiUWJoaCiqqnL8+PHLemZ4eDhgXA8UGAh33smOpZ/xTeKPaA9P4p5eU0F76eIFaeeLydj/CBtffhjl5ZcvvVdQYSHqyRM846KnTUpAg64HKtfY07AGJzrnLPhAR8tUXuhRx4hGA/K294QSGx4ceoKIJ69simK9266hTHZ0dDSlpaX1CkGmcu7SBceIUp62cKG1m6EyX06OoRBE5elwVgV59LWGtieSIDQUjP9u+/btS3h4eEV437dvHz179mThwoV8+umn1Rvs0AFUOGq9i299X6SopGHeWRaioURHRxMUFATAkCFD0Ov1rFu37qq2+ccff5Cfn8+ECRMqjnXp0oWhQ4fy4Ycfkp2dfXUa1uuhSxd2x6+AdD/63/kxv/76K6/+Xsyf6Zb0Xn8rs384Zvh/28Wwlo+CgituNjk5GXePQGJtjtLN0gqtU8sq5z09PXn33XfxatKDdboHKHY7R9aYRXziP5UBQEBAAAC9evXCy8uL33//3eS2V/isZXa0nhH3PVrrG1xOTk68/PLL7Dkcx62OT+GOGctd+3Crh6Gyqrm5Offeey9//fWXSX8/WVlAYmfcU2qf0XD33Xdz9OhROnfuzKRJk3j79S34F7fkJW8NCQmXF4LKykAJWsetR3w4tP4Iqqo2+DT2q0lCkBA3kfLS2JW/CJWv4bjcdUH79+/nXmtrmjo6grk5RXM+5e6tTxForueXvn0wfk+/JEd3Z0KizPgi528wM7v0XkHm5igbf+Uh12KcU3Ouyg/mbYMMP4yv2xwKXrC3UMu3y2zquKvh3Nt0ErvtOqHu+IbTUQ5139CAatow9bfffgOgRYsWDd6ed5MmNDkBJ8Pnc2CTYbPcmkaCUk++RrPtS7HZe9qwTsCoX79+FBcXs3PnTjZt2kSfPn2wtbWlZ8+e/Pzzz9Xny7drB0B+kSPRZllsPnplZeGFaEhlZWXExcVVhKCOHTvi6up61afEzZs3j2bNmlVbw/fGG2+QmZlZ8xsKDSEigvNZOvL892CdFMiQIUNo164dL7z6Ht/8WkiJouPHU3eRnGz84fvNNw2B6ArXpyQnJ3N3rp7e2aO50//xGtcQTp8+nVWrVvHpy5+xcvxStO4nWfTI95xodmvFNVqtlrvvvpuVK1dWvHlTK72eX/J0LD4G999v2nRce3t7nnvmI8YmZbBy/Q/kRF3Yt2jcuHEUFxfz559/1vmcqIhEfnCx4UEL9zqv9ff3Z/369cyaNYvVq1eTtb0I3E/wyYLvTOrzxQqLUyg1z6d/syz+2roVT09P2hm/Ft8IJAQJcRMpL41deVFi48aNsbS0vOwQpN24kV8KC9G8+SYAxzYeZoJFHrNtAhn1yJ113m9urtBIF8jRshSYMYUODg41hyAzM864lbIyGVyb9boqU8W6tzBumNpkOLoR3egTr/L92fcbvJ1LGXGHhs6BW3jm/Cc8Nveza9YuVA9B33//Pa+++iqjR4+mU6dODd6ehYUF7u7u7Dniydd/7ARqDkH3T/Jj0F09IT2jSgjq2bMnWq2WN954g8GDBxMYGMiOHTt45plnSE1Nrb6o3M0NAgIIyzOMSiaXnGjw1yRuTufPn2fw4MEsW7bsqrWRmJhIWVlZRQjSarUMHDiQNWvWXLVS2adOnWL79u1MmDCh2tfT9u3bM2LECD766KPqGxM3hM2bOeumx86ygJnd8ypmJsyYMQPFrj/D8mw4ZnuaB958Cp0O6NQJTp6kcMECoqOjOXDgAOvXrychIaFezaYmJTH51A5+LTbjkfs+qPP6AU368n67qezUFXKoe3SVc6NHj6a4uJi/jfuX1dpuYiHxdlpSCrrh4uJSrz7fNdYezHSsygqpONapUyeaNm1q0pS4+L17eLDXfPyDTdtyQaPR8OSTT7Jnzx68Ukvx0igU5X2CLul8vfoNEJdgKF7j7ezDmjVrGDRo0A1RGrvcjdNTIUSdyktjV16UaGZmRsuWLS+rOIJOp6Pr6dOct7dkQr88tm75H21Tb2GKjTMd+/2F1sLKpOc0sbqVyDKI2v4j3UtLSUxMrNg0sMKvvzL5kzUMy4UWt46pd19N0djLHUptyFV3kKU7QD56gp2vTVEEgMzCTEYnwdoCwO4q7FZeCy8vw1TAxMRElixZwiOPPMKgQYP46aefrto3rcctLRnw0G0c7tgTVVVrDEGT9vmxtdT4910pBNnb29O5c2e2bNlC27Zt2bp1K76+vgwaNAgPDw9+/PHH6g1Onkwn/zYApBTsvCqvSdx8Fi9ezJo1a7jzzjt5/PHHKbrC0YialJfHDqo0dD5kyBBSU1PZv//qbJr8ww8/oNVqGTduXI3nZ8+ejYODA/369bviCqLVbN5MiEcxGY1h6rAnKw5rNBrmz5/P9gUWhBbbsM7lS6yDZ2B/113kAD888gjBwcF06NCBAQMGMGzYMJM3Py4qKiI4K4uVnRw53dXW5K5OGfwOVgocTl4B585VHO/WrRt+fn4mTYmLSEgGjQ4PV0uT2y3Xpl0G3q/asfzM3WAsxKAoCuPGjWPLli01r4GsZGfSCnzOQZx7/dZVtWnThvBtB3g9pguftzrJ1/e+XO9AvmPNWbpagS7bj8zMzBtqKhyYEIIURfFXFGWToijHFUU5pijKE8bjLoqi/KMoyhnj787G44qiKJ8pihKpKMoRRVHaV3rWA8brzyiK8kCl4x0URTlqvOcz5VquFhbiJlG5NPbFQkNDL+ub3KmICEJtdXT/n5YfI37mYMS3aALuxGnMYfxbtzH5Od2b3wfA6jA3muXkoNPpSE5OrnrRzJmczEyAHC8G9xlY776aQlEURns+xwy/v4gtKQaguVfQVWmrJmXFFiwy7k/n7eh3zdqFCyMzf/31F/fddx9dunThzz//bLDNaGvi5OxMUK4lhYqOkwlJ1dYE5eaVcDo7Ea1FFmRnG4puVPL0008zadIk1q9fX/Huqrm5OWPHjmXFihVVijwA8MILOIx8Bi8zc/bFyHQ4YZq1a9cSGBjIk08+yRdffEHXrl05efJkg7ZRHoIq78c1cOBAFEW5KqWyy8rKmD9/PkOGDKlYD3ix4OBgNm3ahIWFBX379uXYsWMN07heT9nGjexv5o8GBZvAqus7fXx8WLRkFW3S78SsxB7/vgk8/vgkzgcFMdLHh++//55ly5bxwgsvcOjQoZpL5dcgJSWFHljwRP98Hk/51uTuWlvYcqTbCGaWRVPw8NSK4xqNhtGjR7N27VoyMzNrfUbkmd0AhLrVf1TP3tYFJ+w5ot1D8VcX9iwaO3YsAL/88kut95sHRZKkg8COHevdtpubG/d/8CdFJZa4ND3NqBEjqn9drYV3uspOf7BKNkOj0TBgwIB69+HfZMrbf2XAU6qqtgS6Ao8pitISeB7YoKpqCLDB+DnAYCDE+OsR4CswhCbgNaAL0Bl4rTw4Ga+ZVOm+QVf+0oT4b1m6dGmV0tiVhYaGkpCQUOcX8oslLFrEN51tiLIuxWbxP0wcthfllt+xcXKq13PG9LsFjd6CzaU++BqnN1SZEpeZCZFncAzdRbBiXesmnFdq4eOvcrtnILtLewLQNujajQS5OV54dzLI9drtEVTOx8eHAwcO0LRpU1asWIGtrenvll6OosBAglIMIWvrkUPVRoL2HDmEHrAoaAQODnBRILvrrrv49ttvK6palXvggQcoLS2tWNNUhaYxnHuIvVvaVz8nxEVKSkrYsGEDgwcPZtasWaxYsYKEhAQ6dOjAihUrGqyd8nfzyxfeg+EH0M6dO1+VELR9+3aSk5N58MEHLxzUl4LO8OZPbCzodBASEsKmTZswMzOjb9++FQV0VFUlISGB5cuXs3fv3vo1rqo83XoAU8MS+SkrBCycq13SrVs3fv7mZ5JfPcHZBwt5Z/BZGo+9H8/kZCbccw933HEHzz33HDY2Nsyda1oJ5+TkZPQuYSRqCunoUL///4VF92BlV8yhhFyoVEl19OjRlJaWsnTp0lrvTzuwGU8t+JrVvS6nJiMaDyRCX0LS/m8qjgUFBdGzZ08WLFhQ62hYcrFh64lmrS+vKputiy9PpvnyVOAWHLYtJyAggGnTptU5AgWg1xre1Vt45CTdu3fH2bn63/X1rM4QpKpqkqqqB4wf5wInAF/gDmC+8bL5wAjjx3cAP6kGuwAnRVG8gYHAP6qqZqiqmgn8AwwynnNQVXWXavhb/qnSs4QQJjh48CAzZsygc+fOFaU5dXodn2x5ieiMyMsujpC2bx9/d4RGBf788X4/7AI71rpZ5aW4OlqxaPSvvBXcAYeYGGy4KATt20e+rxlRShEBZl71fn59xCUVsyfXi7RSw07ZnZpeuxBU+Y+uvFLdtdSiRQsaNWrE2rVr6z1v/TIbJDTGsF/Hqfit5ObmYmFhUTH6dCzK8MNV4zPZhlK5JmrdujXt2rWrPiXu/HlwcWHIsWkUrX2lQV6CuLnt3LmTvLw8Bg40jD4PHTqUQ4cO4enpyccff9xg7URHR+Pt7Y2VVdUpxOWlsl9++WX27dtn8tSvukRGGkZCy78flJTAkY+6sePnH/lwx0f0fnYKiz/xZfdHt2GPwsaNG9FoNPTt25dBgwbh5eWFn58fw4cPp1+/fqYVBzCKS0zkh5w0IinE3qv2TZVdbd3Adwj7z61kask+Sj74xFBZDnB0dOSee+7h119/JS8vr852k5OTSe5i+NoyuO1Ik/sL4NutJ23CuzDLwQd27Kg43rFjRxo1alTnlLiQDCuSG0Fo49pf76WM72sYR1jqehxSUyuOjx07lpMnT9Y6ZTIqpQRnBXx8m15W2wBD+j5Jkg4G3O7H6NGj+eqrr2jcuDFjx47l7Nmzl7zvs4LDtDzpzl/7j99wU+GgnmuCFEUJAtoBuwFPVVWTjKeSAeNW8vgClVc9xxuP1XY8vobjNbX/iKIo+xRF2Zda6R+JEP9lCQkJ3H777bi6urJs2bKK9R0frXmEGZvf4fg/EwkNDQXqH4I+J4s4qwKGODhxpaX/RwZ2pHHLCHQdnAnkohC0Zw9b2rpTpEKo99UdCJ7xy5d0ObubgTbx/Dz0M3yc/p1N3XqE1fhl7qqaP38+ERERde7x01Ccmzal8ZkUrBVQnA6Rk5NTdY+gNMOC7Fbr90M9F2c/+OCDHDhwoOpaNw8P8PZmet8pzHtgEFlZDfMDpbh5rVmzpmIUpJyvry8dO3YkPr7Sjya7dsHo0VBcfFntVC6PXdkjjzxCnz59ePfdd+nUqRP+/v5MmTKFc5XWplyOuLg4FEWp+L8evvs0K2z2U5L3D9vWfkt0868YnZfIsML17FnfmpKlC9i0fj0eHh4kJyczdOhQPvvsM3788Udyc3OZN28eYNjT9LPPai/itu+DD9D7WKDVWTKk7wt1dzbkUV7ObMR3NmuZ7+xgGBU2evjhh8nLy2PRokV1PiY5OZnYxinYKtCt/fg6r6/MxdWXUw7x/NMoC/75p+K4oiiMHj2aDevXkxobe8n7g20M31vdglpe8praNPJsR5iFHYu8zShbeqEQw913342FhQU///zzJe/dE+dPcXLwFa3tHNx2Mp5l7kyz9uTbL74hKiqKJ554gmXLllUdTbzI4cwyzuYa/r5upP2Bypn8J6Yoih2wGJiuqmqVtwSMIzhX/buNqqrfqqraUVXVju7ulzfkKMTNJD8/n+HDh5Odnc3y5csr5n7vi/qHV/bOY5QtBBzOwtnGFUdHx3oVR9CXleGSkUVCMPTyfOKK+7pojZ6FWVs5+voEYm1tq4ag48cJDFBY5OTAhIGTr7it2rT0MVSIy7bsxf3tp1zTDUsBfNPG4pA8jCZe1346nIWFBdbW1tesPV9fXxadh6/NG/FQu4fIzc2tskeQe5GOB+yhzZnzVYoimGLMmDGYm5szf/78qic6dOB0SQxjbNfxx+7whngZ4ia2du1aunfvXuXfJYCfnx8JCQmGkZmsLOjWjexFa6q8S18flwpB3t7ebNiwgfPnzzN//ny6dOnCd999xwcf1F3ZrDZxcXF4e3tXTC3eeOBXXkqHnN/X8/c750jd3Ys/enyCi11T7kwt4rDzO3h/NZgjL7zAoQMHmDdvHo8//jgPPPAAt9xyC59++ik6nY653xZzdOuzfDPn0ptvN1++koLgGDyKb8Xa2bStDn6YsIEyYGvcN7B9e8Xx7t2706JFC777zljCubZpYcnJlDrkEKC1QGvpZFK75RRFob1dH4pCthO1seoapNGjR/OlXo9LcPAlQ/Ayh108HAc+fsH1areyUR6vkbbuXbbPO11xzNnZmaFDh7JkyZJL3xjTA5+TNW/OaiqtRsuggKfJ8NnPnK/fwc/Hh1mzZnH//ffXuj7OzuoI/lnFeHt706aN6euErxcmhSBFUcwxBKBfVFUt/5tIMU5lw/h7eW29BMC/0u1+xmO1Hfer4bgQwujQoUPY29vTv39/vvnmG86fP49er2fcuHEcOnSI3377reILUEFJHqN/HYG7Frr9/Qxhn/7Dg0+8Wu/iCBkvvsgHrfNx1NnSY8jdV/wabHxLGJsCG6PWVNsrqOzHH7FrmkRjXGnf3OOK26pNh0aGb1IDFjXhudmnrmpbNbktfwE+m5df83b/Db6+vkxVYUf073z58Whyc3OrjASdOjKLrN+2YlFEvUOQm5sbw4YNq75nUPv2+EXnkq2q7Is82ECvRNxU8vIgIYGUlBQOHjzIoEHVR5/9/PzIz88nOysLJk/m4+AZLP3fnaRo6//1SafTERsbW6UowsVcXV0ZP348ixcvpm3btiatx6hNbGws/v4XfuQ6mbkeLdC/2WBIScF19RZG9X+CA4/t539tpxCYfxeOWWUwZgwYR33KPfnkk0RHR7Ns2TJSsp9kbtiHBDd+6pJtHyt0QO9xitt8W5ncXy/nIJpqbDmuPwkjRlSEHUVRmDRpErt27SJ21iwyNS5wcVEdo5LTp7ltXkues//C5HYrGxPaglLzAlaOal3leOvSUib0hoTX9HDuTI33bknVszXS8DXvcj1179PE75rB0sAZhtd/4gS6Tz6n284m9I3rU7FxdGWqCt+0i+RZqysvcPPBvROxV+3YrL7O2gmj0ccY9rVKS0sj31i1rlr7bmdp5xHPgAEDrvkbig3BlOpwCvA9cEJV1dmVTv0NlFd4ewD4q9Lx8cYqcV2BbOO0ubXAbYqiOBsLItwGrDWey1EUpauxrfGVniWEAFatWkVeXh6xsbFMnjwZb29vQkNDWbp0KbNmzWLYsGEV1/5v4RNElRUwMvtJZmz5gGa93mJxyCy6tVY5evSoyXPOM9cs4ZkmCYRbh+Ljf+WjBwM7hmCtN+dU4Ul+T0mqEoL279/D85EqBx3qX92mvroZ9wqi/TzWZl3eN8sr8frrYOI63xte+Q8Ep2Nj+SfyPbJyq06He/xFlWdCT4BGAy3rP43kwQcfJCUlhbVr11442LYtbaIzMQcsXHdf6UsQV5mqqhw5coQXX3yRDh06sHLlyqvf6OjREBxMyv/+hyVUrAeqrPzfbt7XX3Po95Pkd7ThwV7zST6yp97NJSUlVdkjqC4BAQFXHILi4uKqhKBo5QTNFAts75sElbZQsLWw5as75tDrqcWU/RBDl7vbMmdh1cqKw4cPp1GjRnz88cdEZxreWOjS/sGaGy4qorXHYcbYw6Md6rfu0Nd8LAd0RZzOsoEzF8LGuHHjsLCwYNkrUYxrt4ColcdrvN8yKop3krfyQPvL2/z5vn6PoAFSvTdcOFhaysGH3uPB26GPGRzL1dV47w7rQBJz21b5+lZftrZwz7gV5PhMQO3Vi+Q+vfl66wmeS3mPRXxF9Jnqa3PSU0oY3mkxfr5J1R9YTx72roRP3sXU0hEMvO1Pfps+kya2joAhVF+stERPoh4cCqF58+ZX3P6/wZSRoB7AOKCvoiiHjL+GAO8BAxRFOQP0N34OsAo4B0QC3wFTAFRVzQDeBPYaf71hPIbxmrnGe84CDV8qRYgbWHh4OC1atODUqVMcPnyYl156CTMzM5566imeeOLCVLXiYtj75nicNn/Ay09/hKLAd088iSNmHAzYT2F+VsVmmbVKTWW7ZQyrSsC6cd0boprC3EyDd0kTDpWW0to2myJjyVg2bKB0ylMsdDZnUdrVXyfj4egAOsMUkUDHa1cUoZy/f7VK0DctFxcX+pqb09PnGSJ7vEBmWWmVHxJuXxHI/KAPoGNHsDJtz6nKBg8ejLu7Oz/88MOFg926YTX5dZpYQFx+zT8siX9fbm4ur7/+Oi1btqRNmzZ88MEHxMTEMH78+KprcSpRVfWKwwG7dhGx+ixL/B6i6YoVhLm60rZt22qX+fkZJqhof/mTu5o9y9xMb15Kg9zFd9S7yZr2CKpNYGAgsbGxl10kQVXVKiFIp9dzjHya27eHPn0ueV9iQRJ7Wh1iZ68/qhzXarVMmzaNHTt2EG8ZjRdazsy6xN/D2bM09YVfvKBLu4fq1e8RHQfioPMh3gHYeWGfLzc3N8YOHUrygyeJGHk7x47XvAeYLieL5x515hBR9Wq3nKutG3d6BGCbexp+NhRqUX9byDtKGAtzYbANnNh1uNp9paVg6RqFn33JZbVbmS50Hj87rWbbmCg+fOE8JX2/5tHbf8c39B8O74+udv2JA1uwi9ax2jqj+sMuQ6hXK/o9+wcHUgaypuc8Qva8iDvU+P/u2JEYRtiBVVoQwcGXPw3w32RKdbjtqqoqqqq2VlW1rfHXKlVV01VV7aeqaoiqqv3LA42xKtxjqqo2VlU1TFXVfZWeNU9V1SbGXz9UOr5PVdVQ4z1T1YYqjyLETUCv17Nz5066d++Ooii0bt2aN954gyNHjvDRRx+hKAplulIORy4h/O1JxMZ2Yr67Fx6ehqHpnoOC6Jg7ng3Fxdxzl6VpU+JWreLzoEaQ506z4Gca7LX4mt3CoWKFfDsNgefPG6YxrV/P6YIc0JbSzvOWBmurNrdaGDbvC/G49iHov0RRFEq9vGhqfBPRzLGoYu1FZk4eSUU5uAX6wO7LG7ExNzdn/Pjx/P3336SkGMrE4uUFE56nsY0fB8+bvt+FuLZefvllXn/9dTw9Pfnyyy9JTEwkPDyc4uJixo4dW20zZVVVmTZtGkFBQaxfv/6y2y149T26jGrCyFui8Df7hGaDhqBRFPj0U9iwATIMP0yWh6CvB9xB6shHKeo7i3czYYVDBtSjUhrUPwQFBASQn59f7y0NymVkZFBYWFgRguJz4tBpYVjvR2qt7hngGEALjTvR5rGo+qo/hk2YMAF7e0cSrFJIRsck9Y0an1F2/Dg7A5qRU2ALNvV7U2tq3zvIHtGXvn1Sq4QggAdvH8ECry3ElMFqz0Y13p/mYsMHnpnsTjxd43lTfNftXZ51LubEF4Y1SP943s/iNuGY6e2Z6Qrqse3V7omMOEuhppQmtjWPEtXHQ/2fogy49XwCn2VriAmaiOXAlUSOGsHxs9X3SyqwO4oKeAQ3XLVPRWuG07hPWF9ozsCm2cz0rzkEFZ2NZZE3BERa37whSIibQkGBoUboNaaqKuPHj2fBggWX/YzTp0+TkZFB9+7dqxw/F7uWj5YMYtjnHri+Y0nbX0bys+Nc3gv7kNt/ubfKte+O+wRHzElvV8z5navqbLNkxVIiQuKxiOmLu1vDfZm4rf0ASlE5kG1JZyAxMRHd7t0k32+YGndXl6s/HQ6gm49hj6A2AUHXpL3/MiUwkNaRhvK25i75F/YIOmqYVmRR1OSKnj9p0iTKysqqlss+F4Mu4ikSNo1Hd+U/l4gGpqoqS5cuZfjw4WzevJlHH30UDw8PmjZtypw5c9iyZQvvvvtuleunT5/OF198gVar5auvvrrchnktuDUFrVbib9aK4V2tiYp8kYJdR+DJJ6F/f8NUsaAg/P/3P/yt4ZDPmxRb5LBq7M+Emdmy1cEKDtZvrVl5CKq8R1CF4nSIeAvyLlSDK7+upilIpiifalwegqwyLEn9vTH3Ha77P0ML65YcKi0javWGKsft7e15fOwITpcZylfnexwjJ6v68+LbtOFe32juTa7/yK6i0aBmH6egu121ENTlnv7Eq2UAmPtVH/VQVZVCD0PRgjYhXerddkUfvG9Dp4MTrpboN2/lhyXPQJN1zOj8BH4HfXjnbEG1e2I3r6WDJfgUOtTwxPrp26on40L+x4vdXiNmRhyfDPuOnm0MZbe1uuqTpM6lGIodeXi2rnbuSjRya87mh/dSUuLAs/1b1RiC8vIMIX1nZo6EICGuS6pKVuI2ur7uwGvPXtkPW5dj7969LFiwgJdeeomysrLLekZ4uKHCVeUQlFucS/uf7+aZo2s5kZXNLYWB/HYc3p1rw7Rf74OLNhvt1Mae58MewFoD/XLqXpCyuLMFpZYFjPBo2M00pw8dTPyMeNrYetMZiIuJQT28mzO2ediW2dCpaQ0/JFwFZ7MN1W46hlyb9v7LfPz80CZl4q6BaP9Iyhz0bNsGGw5tAqDxxmP1/qGysmbNmtGrVy/mzp2L3ri/CG+9xZ2L4rHb8RSm/hwZHR3dYHu0iNodOnSIuLg4hg8fXu3c+PHjGTNmDDNnziQ8PBxVVXnyySf57LPPmDFjBtOnT6868lcPBWWF/BnyBc2s3XileR7fTnoY2+Fd+ChrPmpKCqxbB++/D127UnQ2iQcmW/F3QRlvd5tKe//uBGlDOaTTEb+hflsNREdH4+XlVWNlxjNrv2bn7lcoWdaY7H/+B/lxDRaCyp+z//sXKZ2ShJV13etVuvr3Il+FbevmVzvX3bcHwyJsaJPnRJxO5cTWXdWuOXo6iUSKceby9kF79ZQjLYvSiJxdqf2sLJSTC/nVCzzyoffBedXuy87OJtvNULe7TYvLn1Hg6OGK05HGTNbasm3ai5wJnk2AuTszB75MmbaQBLvsavdYJuewLwBCNVceRBRF4acxX/P2bTPxsTeUN2/XtDcA2vzq/+727Db8Pwh2b3fFbV+smWcbmluOI98zjtNnqq85WpB6CNuTVuwry+dGrdgsIUjc8ObNm8eAAQN47LHHmDNnDmvXreD5Wd15aVor0Jdhv3UIu210vOscR8beTde0b+U7XcfFxfH333/XcXXNwsPDcXFxoWnTCxuhZafaUzJ/ETbzdtN4WzF3Jv/Cve3exWPTWWha84Zpz935LTOOh5CVE2AYGatFoppIVwsNAzuNu6w+X4qdhR020TuxeSWeSCfI2rsXM+8CIkrAq7TlNasu8+jgvtzh+QTNfa99mer/Gh8fHyJKdTyraHGzLMUCP3r1gt0Jhjn3bfeeBUfHK2pj0qRJREZGsnnzZsOB0FBuG7CIs194cOBY3VOKzpw5Q+PGjXn99devqB/CNH/99ReKolQp6FJOURS++uorAgICGDNmDNOmTeOTTz5h5kMPMauzwtvdlzHIv4yfKq8DM4F+736e/nAU0fmZfNu8BT8tP8nUpY1wsynmtT0fM2rhHQxemMStB/oxvORHZva+n9lORbTU2fDUgE8BaNnoEQo1pSzfHV2vtmNiYi5ZGe72xbZ0jwefkw7ExMyjbFkTmuuXAQ0zEqSq8I3VMj5JsIJb6g4HQ3vdg7cWsjlR7dyf4f3Z9/cx/I4bwlzEkeqzCiK+/50ywNL6wcvqu7d/B2LKYHnkhe/V6vfzmDXlPJ30PdiMwiCXY5BdNYwkJydz3jEPL40Gayuny2obDP/+/G3bkNrkIF0nHGaBZwB/3P8XlmaWeBTb4ND0QLXvn77KIQCsG12d6dX+rs2xAM5am1U7t+eMI6gKzVv0viptd3UvBascMjOrl4Y/mVhEgbYIJzvvG7IyHEgIEje4qKgopk6dSkREBAsWLGDq1Kl8vO523s/bycrUYnp20zHwraXcvf9FSoEflj58zfqWn5/PwoULGTduHIGBgXz++eeX9Zzw8HC6d+9esRFa1uF32TVrKmaR3Tj8fDbr1sHD87rD888b1kNcgqIoPL3pO7ou/o3MdWsveR2bN/Cg0wmmJw1i9KjOl9Xn2oydc44XMkvY1BSyzp4ls5UZ233hqZDad+RuSH2at2PZ5E9u2C/cNxJfX18W6vU8nDOVkjkQ7O7C2rXwaPBtfEsrwtIKwcS1EpcycuRInJ2dL+wlEhaGkpWBW2wpi47Xvd/K2rVr0ev1vPXWW+zZY6z+pdeB/hKjt/oy9Gfnk7+oFbm73qv5GnFJf/31F927d8fDo+Zy0w4ODvz2228kJCTwxRdf8NKDDzIu7RDrcmbT98xZXppkhdmHH9dr5O7LCZtZXLyZcQ5a2nb+kp07d+LS7F5+mXSWV/wDWZIezpqAB9jaoiOnUmJ4ttNHvGDpDGt90CiGr70jOneCIkd2ejeu1+u91B5BObmlRHl9gidhdArpy6qEY5y3Hc9RzLF0sLzsIhBxcXGYm5vj6enJqdNprNRnkpCnBRPKN7fwakWcWVumRRyH8pFVo6FtnmTrR4OIOGVYa3eu4Fj1tiMNVd36te96WX0f1XsCAIeif4O/DIWC9809wAuqPz8Xf8XOxI6keUDegarbGyQnJ5NjlY83dpfVbmUjWtwCjnGcc8qjRf9P6BxomI7W1jaTfIdEOFO14MoKttMpCpyDa16rdKW0Gi2+qiXRNRRpNYsOw3n7BHy8/aqfbAC3e7ZloRe0Kai+O66H2Vbs861pFHh1Xve1ICFI3LBUVeXxxx9Ho9GwZ88esrOzmflBC9baw72ZLTm8MJK9R1JoM7AdM999g56WWr6yOIc+7vLeXauvP/74g9zcXB555BGmTJnC5s2b67VZKRgWuJ44caJiKlxSwmZClr/IEavlvOHzHU0m3lqv53mP3Efu9Hb8tGhhzReoKjlv34u1TQYbI8HW1qZezzdFrlc2s7PgljBrduTkcKCJjvQSTx6deON+IRWX5uvryzJgT/8hnEkGFxdrbrsN7p30HZM2u0OrMEOJ7CtgbW3NuHHjWLJkCWlpaRAain9cPu5aiM+re6rdhg0b8PPzw8fHh/Hjx1OQl03ymls4+JMj6ctHo49aCKXGxfBxS4lf1oyZqx5kXepZOPEeakneFfX/vyQ2NpZDhw5xxx21V1nr0qULP/74I5+88ALjC46xb+hBhiYphBfBrWluHC+czpHZs2t9RrnklfvZZu7LmSaFfNz7ZTbsPINOp2PgwIEotr688eBZou79kW13fsWy0cs4uNkft7uWk5l4DwmnLrwD3jkwlCOujbi/0X6TX69erycmJqZ6CFJVVq9sR4lNDHN0oax2n8Tzz/jhOfxr7tryHfoh7Tlz5vIqfsXFxeHr64tGo2HNjt/QAZ3LTBulUBQFrec02FgIlTbJzMnS86r1Kh4ryCMmtpRh1lq6drro/21GBrltDJX9BncwfY+gyjycgghSHNlZnI769Tdw6hQ/6zQwdCou7ffyk3kS/vHFnNpVtUhA0a5dTH8riOes5lxWu5U93H8EAC1joMznwmilu8aNZB3kxFWdBrgnUcPJXAgICLniti+lS8QdFG15noKsqiNgr3bdy7f+59FqtVel3W7dhzLaHho5aCm5aF216nqARraFBDW6cb93SwgSN6xly5axcuVKXn/9dfz9/Vn281hmFpzgfo0lP7yxj/fe24SVVVvmzm1ExLHFPNb8bs4qEL7mm6vXKVWF0lzAMBWuWbNm9OjRg4kTJ2JlZcWcOfX7Ar1rl+GLbffu3VF1JfzvzxHk6WHc4mSeWDcMLOq3Qdqjo0YAENVsR80XnDzJl63ScDsHBV5XvjdQTXo26YIeaBYI7Rct4ol9lkwvCqJEd+0LV4irr3y/lZi9e3GDCyWyVRWOHq33JqmXMmnSJEpKSvjpp5/Axwcl34Fm5oB7zZsblisrK2PTpk0MGjSIH374gVOnTrHiy150PriLjtGFZMduQLPzPh5/+nMGT/+bAb+/QNDRc7yVofBJ7Dhe+v0NNmy6Mb+VFhcXc+LEifqthdKXURr5O5ReXvArnxZcVwgCuL9/fxr/ks3M6CdIju1Jb/9BrB27ljL7FObetZXjs3ZAUt37o0x89jCv3PcKltbNcG39IosWLcLe3p5u3Qzv8KPREtTsAW5pPZk7mt+BjbkNuHXBwyeY7OxscnMNX9MVRcHK3pXmbnsvuWHnxZKSkigtLa0Wggpiwzly/hjNVWvufOs3GDoUXF3RfvMtA33vpqzZLpq7xtX80DpULo99JHENAEM7jzT5/o+UXOyn+bD7zwtBY99f+zmjLyFQ54qHswfBZ0dz+4jFVW88fZr/OZ/kJVsNLg7Ol9V3gADL+zljdZ7TuxLhl19IGr4bDTCmwzD0RYaps4cTqoYg/YkTPKQ/yqDuV75Av5FrMN3cezCl9eOYaS+sr/Wy78lEB9ieU3UGwSptMwpzg69oo9S6eCffya7NL3Bkxd4qxz2Cj+DmknDV2rX28GdDphVK4Nlqpevj9WW4lyk3bFEEkBAkblB5eXlMmzaN1q1bM23aNMg+jnnxYnpqrXhv9EmsHKx57rk+HDp0kJYtWzJ69GhW/tUfyx8OYBb2dsN3SNVzIuIL7vnCFZt3HbhttiMlXjuYOGE8iqLg6urKmDFjWLBgQb3KnoaHh6PVaunUqRO/rL6X5VnZPBXhQsiMT1Ba1H9zsv5dG+Ous+Ws5fmKHbmrWLOGH/PdsEizpEPrq1OuelS3TgCccC5kkqaUGLsOLImNw0J75Ttei+uPr68vFsDEV17hSSqFoKIiw54lvXs3SDuhoaF069aNb7/9FhVg0WqaWVoQmVf7D8kHDhwgOzubfv360a9fP/435UkejjlFqk7Lhz1/JNwhhfcObOfHsrWscb6DHXlpPNXtac5OO8u6N75jYUEA4396v8b/Tter3NxcZs2aRaNGjWjZsiXt2rVjwYIF1d7praasgKgFIzDfcy+Hfq65RHJd/vrrL5o1a1ZljWOF8+dhyRKI2AnnfmL73Pe5w2wYZ7Ju5/4ZW1g/YRW3Nb6Nr4Z+xXBbHcPeXMuJsZOprQRgwpEEVg1+iQfiPLDss4Dw3ftYuHAhjz32GOYXFZC5WHmZ7ISECz9kHvK0YFT2YUp+NO3NtEuVx4755wuesXFk9WwHNJMfhTVr4H//g7Aw3r39WcyApGbbyM4oNqmdyiqHoAS3MnzMXPEbP8Pk+938FPJcEgl3vrBp6t5DiykDugV3p1mzZmjWZDCnyVtVv4+cOsUtnjBGf2Vr/Kb0uYs7dIOw150i+u35HHU+SwcLD9xsPXCyNKzjjDSrOlUwPiOacc84cEzbMIEgfMp25tz5WZVj3RrfxVxPKIqqGgbc/Q7gb1mIp6dng7RdE5/+VnQY8Ba74i+E7/+3d95xVVdvHH8f9hZkyEZRQEUBFcS9c+QemaaVmSNnqeXWLLNpWZmVWmbDLHPnDPcGJ7hw4AAUkSFDNtzv748LiAoOuPc6fuf9evWKe77jORwP3/t9znmez6Mo0CvvMl/ol15XSyMIwdjkHDZViborPFNRoIOpMbVTPaQTJJHomlmzZhEbG8sPP/yAXloqirET1skvcfnrc5yMqlp8XtWqVdmzZw/9+vXjz98nYJRch71/bYDES2Xf/BFJTExkzJgxfPDeeyzd8Q51Vo1h860U+qTCxYw0supBr6YdgTuhe5mZmXcXdnwIBw4coF69eqRnXGDs8TV45dpjEPsbvPVWufosBFRJ9+Rofh5Zp7bfd/zm1k2cc04m9VQ76tevXy4bD6NeDSdMsu1ZdckdfIBql3DIC9KKLcmTx9nZmVwg2tSUKUD7N96Abt3g55/hn39gwACN2Ro2bBjnzp1j37590KQJTrYvcjM3i9jElLvOS7l9nbBr6tyf7dvVfwdt2rSBglx2Gt8m3SEHkxBXBjfoxsBX9Zk8tymn5vzOpv5bSZ4ey2ftv6CaTTWMjaFBzz3c8JrNn389XqJ+EadPn8bd3Z158x4vx6U8JCUlMXPmTDw8PHj33XepWbMmc+d+Tl5eHq+99hqenp58/vnnXLhw4Y7SXiFKTjKxa5oyPH4jo8MDaD1iKpFnVGVYKp2UlBR27dp1ZxcoL0/98j9hArTyIXmoD9ciRnL2cBPmbn6dd/S+R/Xai8xeE46t3Z3V92FBbzK+xyRy843JbHuBjFsZZdrcdjQcLG/QuWoPCqzrM2rUKFxdXZk+ffpD+1vkBJVcAVdZe3EkF8KvPLzUANxxgkoKI+Snx2Gu/w8hFwdRdcYEmDULOnSAr7+GZs1wuppEl1hr/s7OZs0vjxe5oFKpiI2NLXaCqlWuQq+Afg+56m7aB/YAIDJld3GbseVaAFq2GoSPjw97GsUwaeBHJB29kxeUeyWa/XYGRNwuXyhcES8HtmBtg104d8wmanI7IvML6OrZGYBarurvpa3K3d8ZUaZZ/GGeRmya9kJTa9atzY0UW1Sxd1TalOwcMoxu4WKgYGBwv3CBprDwu8TRpjO4knpHJjsvN4VElYK1uXZC4YrwKqjExTy4WlTgHEi6mc1nzpkEx1R55PpXTyPSCZJojYKCAqKioti0aRNff/01I0aM4LvvvqvwfSMiIvj6668ZOnQodonbCfjIkd6DptJ80u+MGO9Op053n29oaMg333yDublCoM9Cznp0ZeJH/uov4HL+XgsXLqR9g+o03/cd782dy/oZJvjHdSPz8+v0ytnC0o/06fTzOHya+dGo4RIazHXFrboDzZo1Y8GCBfcVAiyN/Px8QkNDadKkCSFXL5Kaa4b5/n+ZuqvzAwvePYxWVb2JK4Azf025+0BODsutIkFPBRfTSq2irikaurYkTTEisbUBty3jqFNZN/WBJLrH2NgYOzs7+puZMRa43agRXLwIu3c/9NrH5aWXXsLKyopFixZBdDQ2u1vDpvlEXbz7q27ZshYE/xRMo+86cuTUcoLq+eJgV5n/ljbifKVF+KWNJP1gLH379i1W2vKw9qCTd3tMDO6uf7L0jUlY6sPKxInl6vPvv/9OTEwM48ePp0uXLiQk3K/CpClefvllZs+eTatWrQgNDWX1t6PxNTTm5YEHmTbuX0LeTcc3YRLLp/jS1t+Cpk0a8dZbb/HumOHsmF+FDhdOsC0DjoVEo5ebS7+BW8nNevSdis2bN5Ofn692glQFcH0Ll/uO47NvjFjk/AIpvVJoLFKoHQ3vJUKutQ/zO82nQymSxy07teX1PZ50VZ3lauSkMm0WVFeXGHilV31+/PFHTpw4wVdffYW5+cPl/0vbCQqoqnbgfsl+tAJURavnJZ2gkLWf4BldwBEvN3jvPbhXIKJqVd7fnotKgbisb8go28e7j/j4ePLy8nBzc+P65STe/CWZTxc93k6Bs7UbjsKIK6rTxUpokYnxWKv0qOrUEB8fH8xUaWTo5XJq/53CtXtbNKFZfD5r8yv4Uq5nSIphdXb5OhBvsxsD4LW27wJQ26s2pJhh4nG3MMKtSuqQxQZ1mlbM9gOoWrUq7ueNGHXjzr99yomzNDVT8EzTXLHS0mjXVO0EmhruKm6LjVfnplUy1t4OFICS3YXzhgacOXFnHl2/HEOWCsJu5cmdIInkXqKionB1daVGjRp07tyZ6QvH8bfej8wMH8OefXvKfV+VSsWIESOobF2J7jWOEhw+k+tWsOZQP156CaZMKf06BwcHpk+fzs4jX3EuuQo/Vb5N1vLHX7k9fPgwjRo1YuvMt/AbnsYnfaB1lRDWHPycy3/PZ+NKe5S2mbTMLcDzpSZMCtyBo208pzKvM+jXFowaNYpLly6xefP9Rc/uJSIigszMTJo2bsTF6S6oPr/Bwo8bPG4a0H0M7/k+f1aCKlmRdx8wNiY0KAMLRZ9qRulYWVW88FtZ7Bq5gqkNJnGyjlp9q7WP3Al6nnFxceFQYiLzgeR58+DMGfhb82qA5ubmDBgwgH/++Yfbp07R4bcf8Y9vRtylO3802fGnGG4RRdPoFwmNDWWt90nqDDjPpfU9aW96nCHxMzj86bcsWLCAvXv3UrNmTebMmUN29v3qSABVrKvwbq0XWJucSOiZ3x67z2vXrqVt27Z89913bN++HX9/f3bs2PHQ61avOkvqtUevV5Ofn8/+/ft55513WL16NQ0bNiRh37foxW3g/WNDmGPZndaZ2UyxM+Z84zxeH5XFhjfOcOlQBl//W5fe6RCXASttx/HFt+uo074JF7p3Jnzdoyturlu3DgcHB4J9fLi+51UmretGvcEFTG6bx+rrM9iYcBVf9y4seHEBV9+5SsSIcEY3HF2mimOzpn3IyIcZh36FnNKdsaPRO7DUg8oGVZg+fTpt27alT58+j9RfZ2d1nZaSO0He7i2xUBmzVyXgERzWK1eu4ODggJnZHZGZ8WFxCJUBb5uX8eJsYYFpp9c4EOrGFM9L5N8Ie6T+wt01giI2byHo1Y2k+D7+S2ptHLmgn8ytXcfJSs7CcFtzJmR0QwiBt7c3cdHq0Mkz1++IBOwKVxc4dbWq2E4QwLBLeXQTN+nhkkZi0/Z42NUGwMvLiyZnMnnnym4osTORYH0bE8DTqfQSEZrAxMQE47RKpFROhNvqHafEM+dZ6QT1En20ZhfA08ELYyA9/059rH9XhAJglqndGog1fNuCfj5HYhOL23ZdvYRZFGxQZVOpgiUOniTSCZJonLy8PAYMGEB2djZffD+NTh9XJqMf3HKASmcbMvWdN8kp4wvrYSxZsoT48AO8OzqDblnHcMeAajsOUd+2Jb/88uANkrFjx+LpKdA72pVbCvx5YGrpeTFlUKTSNjjjFMbj4Nc8KLjwGldoS48eG0lJqcaSJf1ZuHAhzs7ODJnTgzmH2zPv+yl0TWnGhqQokirtwtnZ+ZHksouKpNY1+ZsGtebQ0+o4DZtUfLvd160u8VteI3RHm7t3wzJimGx3i7aX2tG8qWarT99LerqgacFyUlVgkW3DS00baNWe5MlSMmG42LmuoCJcWfTp04ecnBzCMjPx8rvAiln1iLxyp0bX2lUfk59nyIzuvzKWDTieh99u57EoegN/HBzChzM+xMhQn+HDhxMZGUmnTp2YPn06vr6+/Pnnn2zatIlly5axYMECPvnkEy5cuMA7HX7CXh+Gr5hITs6jP1MiIyM5d+4cPXv2ZNSoUYSGhmJlZUW7du2YOXPm/TvGiYdQRf3KG7OHM/tAN3asDiY1PuqRbF28eJHs7Gzq1VMXVcxOuECCwS4S9Fry14xXGF/7bbqbNcM91ZENt615P86THed6ERE7G1Xn7zG9ZcIh19n0GvsVTZs1o3OTHhirFEZe/oPc+IerpeXm5rJ582a6dO6ManJHuh9azlcpetja2TNnvBdbdlVhzLvubH5jJSODRuJe6eGFjEcOHIlfmiEHMrNJ3Xus1HN2nTuFv4EBU2d9ze3bt5k/f/4jS+Obmppia2t7lxMk9PSwSm1CpEUGHH34732vPHboyUQiK22g/omaOMellHmd3siROO6KIWOPDdjcX+T0zJkzpRbgLlkjaEncl9S6AlVatH5oP++lg0trXjBXuHX4P06dyuWkwXjqun0MqAsUX72kfiG+UlCYN6RSEbZFLR3doE6Hx7Z3Ly2rtyddgSGrX+Gm5SfF7V5eXvQ1MOGlRrdIP3xHHCHRLB0nTLRe9qCqPpi5hpN3OhwAuxy14qu+jXZD0vSEHu6KAeeN77wDHI5QK1baGGm+UGpJmnsYA2BlcaK4LfKienfUJO/ZdYBAOkESLTD7ww/IvxnKoikuTLs5hz15ybyT7YTr9+eYVtuPJf2v8tnHsx77vgkJCXz0/kS+mWPAJJFDNxMX9r+XxOplgezcCQ+LbjA2Nmbu3Lns27IXH309Fjolwf4yVNJKYfHixTSrrWLrG7n8lQOfBY3m3w9+JfyEYM2azsyd+zn//PMPW7duZdCgQcXxwdWqwauV59EEUyYeXsjAYW0ICQkhKSnpgfYOHDhAPV9HWp9axwq9UGZ+ohm5aiFg7rl+TFfVIafQ0QLI+nggfsYQuc2NIUO0W08pIzuXxidiic2HhW67qeFsp1V7kidLSSeoWBhBSwQGBiKEYN+ZMxjl29DtOqzN/AKAI1cP0j9hOTOiA+jQzQ5zvY3cXGHAgYFhhET1w67bFziVqJ/r4eHBypUrCQkJwdjYmAEDBtC5c2cGDhzI6NGjmTp1Ku3bt0cIG6Y4vsBY+0T++uXhamVFrF27FrijlObv78/RsAO8/vrrzJ49hylvtCIx5G2Sds7g8h9dWLayMf5/v8lS1SJOWFyitmkee+e9XKxe9iDCw9UvbX5+6gWOTTs+pEksnI8/wcsvTeLLfvNYOG4HG+YncavWQo5OCqV3r2EcSw7m1atXOF3rA7xH3MmjeW/GF/Q5V50juTD65xdJS31wftDu3btJS0tjtIMlk2uc5EgO/N17GVHT9zO1w/BHHrOSWFlZkRLbghuKwr9rI+47nnT6BrOsrBiS78PPP//MuHHjqFWr1mPZcHV1vU8Vq4lDF8xTvbjmHPDQ6+9yghSF/872BcNsvo3KghEjyrZbowYfZsHHF27h/V0r1qy/I1oRHR1N3bp1WbJkyX3XlXSCLhlEYZBngkGTVg/t571M7D+Hhfts8bwQzpkz+/ny3dY0aKouoOrp6QmpYAjcsEgs6hTRegmQY0FTv4DHtncvPVu8CcDyOt9gW+dOXSY7OztCb/lzPBtOH1PL3+fn55OlCGzzrSts92HUqZROil4uWVEhAOy8tQ+nC5DsoflyEvdim2NDtEEeSrZ6EVkvyglCPiOooXYXEdvWe4H9rvBi9p0ddXvUqoMBtg8PK32akU6QRCPEXd/D/OUv02ZWTebsncO+WQZ0cz7NKJUR56tOYdywGF4b4s3mU71ZbpTHgeRPOXXq0UM5ACZOnIgJabRyr83glE8xCY/GzMgKd3d41MitHj160KqlEx5X9DkMHF/5yUOvAchJSeHczz9j0suSdZkqOmTN5t2O8/HwuFOfdMKECcyfPx8PDw+GDh16t913fVmxywFTAWmVQ1AUhb179z7Q5oEDB2jaR0V8Abxxw46AIZrLmzFvu5bInp9xflWhZPfFixxQ7eGP63ro2YTT7BEqi1cEJwcj4vXz+epSJ14ZqRmJZMnTS1FYkZ6eHqam2pFeL8LKyoratWur5eWd/PE2hAQ9dV7GnO1jsNaDwR3VL/Pbt2+nYcOGNKwexNFvltPxBes7N9q6FZYtg+xs2rVrR3h4OLt27eLQoUOcO3eO+Ph4DvzzD/FXrjBx4kTe6fsDjXIbsOznm5SyQF8qa9euJSgoSJ17kp+FcvYrcrd449XPFM/xLxBqbIH5tUXYXJtD96tbGBgPp+MEbW+3JWPqbXafeocX6x5lyhv9uX37wQnhERERGBgYqJ0AVT6rbqykkp4+715Ngho1YO5cOHIEUlIQfftiZ2YH3t44r1jArxO3UHnE+LvuJ4Tgq59OEJRoy095N/nw83ceaH/dunU4mZhglLqFLQU5NNfvQi/fx0vYL422DdRFOVedv98JOrkugpdcrlFw3hhnZ2dmzJjx2PcvzQn6KNCZlM7ruRD1YJnsohpBRflAOTEb+enCTjonQfCEaWBiUua1JiYmbHJwINXGn5vKTeavepuidbODBw+iUqnYXUpeXUxMDKampugJc86JNHwybB/9C7IkZi6oDNoQF3qSA1GLCYyBDAdbQJ1nW71adQboVaaPb2E+yvnz2AQexK3AsPjvvSI4V74T4mVjdqf/Qgii7HOpHwOH0tVOUOqaNSyZbcjgW6MrbPdhWFuqVVkjs9QO4eFLcAOo7Kz9vFbfiP7k//M3MfvUtnvV3MPxTsuoXbvi4YcPwtLSDo8MZ9xtc4sFU3IM9mMIuHhr17a2kU7Q807KKUg+Crkpmr93ThLnQqcxdJ4VVX9qydjzK7h66xw2Fu6sT9tIjwWXOH0wC6dXP8a9mj5z5kDHQR04ft2brXYwdWrXRxIIANi7dy9Hfl/KyID69FxwjCVfT6JWTb3H1gcQQjBv3jy2/2WPY0R/Yls/QrX3ggISOnRgTVoagdnfYbX5J2I3TCc19f5TR48eXXp1cFNTXL5czYaNdiR++xvGRnXYtWtXmSavXbtGatJVNhvepG6eEa2G/vBYv+fD6FyvDegV8J9DYSjD1i18ZgATk1WMHTNY6yEFAJVU1bhsuZnlx9dq3ZbkyVK0E2RpaamTuRUcHExYWBhKrbp45wuSDJPYf/kIa2OOMq5Od2qlGJPftCn2hw/Ttk2buy9OTlYr1nXsCAMHgocHzJ6NoYEBLVu2JLh2bbz37sWhd28av/QSYdWr88MPP7Dj8BVCnTYTYrCTVTseHqJ2/fp1QkND6dmjG1xYSMLK6nywbQJVz6Uy7dAPZDtGkmBvjvO4sZgMfp2YSB/4E2Y7zSLk8xDMjE0Z+NEculy25kyD/+jV5TUyHpBBHx4eTs2aNTE2Nib2+lFWpmbzes1OWIbsgI0b1QptDRpAyaKLdnbQpw+0aFHqPS0sLPhh6GY6YoFhwd4HOn8bNmxgbmU/Rm/9gYEX57B+/PKHjtGjMKz7K3RJqEdr9/P3Hdt2+gCfXPBm+bFzvP/+++XahSzNCXIPqI+igNOF7x94bXx8PLm5uervA0UhZv0HbDK3Zf6havDqqw+17ezhwfl0B3xNLIj2WszIN8PIzlbnpsKdOnIlKZLH3rL7X24rEGAT/Oi/7D14epwg8AVLYkU4FgK8XO8sjnl7e3NkhRNd+xwClQrOnWGuSwYv387SmEraoTcPETYk7L5nhlNhqGS0oXrXKyMiAj8S8PR3uO8emsbLuT3vV4ZLt9V1kFYrXlBgiI+rdnOCADxsGhEV3odjW9XPlwybaNINbmlVmruI/5L0OeN4grjCulyXczJwFOBRQ3s5WLpAOkHPMYqiwLmvWflPIHaf2eD6kaDGbD1emmNLdk4FZSSPjIFVjkze+zF/pKUzOM2U1/97jdhvQ0naeJWXx7TnUnI1+r9y9xR7c4jA5sJyXPXhkv8VFix4uFpcbm4uI956i26v6PF2w8OEnDzDDz/AzJnlE0kLCAjglV49ubH6J9audQfVA1TiFAXGvU1CgzBm12zC3K8H4JH5Jjt3gs3j1oKrXx+X5jPYebE+1maL2LHvfonqIg4ePEib3vpE5YNT5HvotWr5mMYezOCO7QG4Ii4DkL5lE9sw4mZELQYOHKhRW2Vhoaf+wjpzWj6GnneKnCBtim2UJDg4mKSkJC4PHEgtjzrkqFT0+GUw+nnWjGz3K7Rtx620NDYoCuP//RcOHrxz8alTsHIlfPghhIRAUBAcPqx+2Jw9q976HTIEEhOhe3dqubriV6MGgwcPpk7ATeg4np/3Ln1oH9etWwfAsLqhcPgtRkXCB8lQ3agrx4cf59p7Vzjz8UoiI8fTpMll0v6MZPF7i5k2dVrxS6GZhSFt6r3Nztw8IuzXPfBvNyIiAn9/fwD6zd9FrgJD3csntV+SBn5B+P49hk8/O05oSOk10GJjY0mMvsqHTq0Jiw/gpalTsTazqLBtgFo+tRgljOntfwblRvxdx/7OjWBazjW2R2bSu/ejFwstiaurK4mJiXcJY5ja1yA4RjArYfEDi7UWhSDWqlWLE9tWUd3mCFGxY6n22c/wCI6Cu7s7MdExfFWpJ1cLCohq2JjPpiwnLEydC3Pp0iVu3rx51zVFTlCys7q9e79pj/07F1HPwYgcp3BiLW5QE0v09O44yD4+PuSf12OIyzRuLt8C0WE0sQSrTNdy27uXYNdgglzuF83x9/THFME1C/V82xMXygszTblm9RgyeuWkYa0mvIkz9ulqUQxnl/+wVQxwc3XTum23tlY07/8aR4zUJT6+tzzF6MyEh9a70gQh+inMFWlcvaheOA1U2dGvwPGZVoYD6QQ9f6gKiDs6m76f1uT70Png/ynu1xrRL8OSDjkmBAAr85MZ+UWLctekuJZ2jSSnXuD0BrPCgtln/xVK+qv8eqAKDq4ufPyxWvzp3DkYNOhuR0VPD35ZWZ+55gGcNoB/1r5bvLJQFvPmzaOjcobvvVR43fakU4O6DC9fCHkxb7/9BtWqfE/7AHfCPu1Y9olffsmJtAU0cYQNTSrh5ibYvh3s7ctn1+2Tkcxq+AVJ7zTFLuA6ycnJpZ534MAB/hUuWGY4MmP8B+Uz9gDqVLfBMc+aS4Yp5B3ez09XrqIY5BJg3gkLC828nDyM9SO/pGH+eCb1rngSreTppuROkC4IDlavfh88exYHF/WLfqL+SbrqtcbO2BT09ZnTvDnvGBpS6cYNaNJE7diAetfj8mWYMQPatYMNG2DVKvUxHx8YPRoOHVI/5FatQn/nTn787TdiY2P57ZvPCTAW3LL69aF9XLt2La61G/HBmkZM/utTTBIOs73vcY5NWk2AY0DxeVWqVGH79u3ExMTcnauXlwcbNvBu51mMChxBfB0Vay+vJSUl5T5bycnJxMTE4OfnR1Z6JqGpa7CPqUudUe+Xa3zvJehFSzCP4+cftpV6/NChQ7w8ypZzXT+j86wl1NCgmJUQgjO5TpwyuU5kXOJdx267XcLipjMtW7TE1ta2XPcvTSYboYe7sRVhFgLlSNniCAcPHkRPT4/ABoF8cGQ4Ta+Y0mrGJHWR4EfA3d2d6OhoXqg5mNXbTLmeBy/VfYXW9qnFAhcHSzrw3HGC6iQK3nbpTR2PgMf7hUsQ5NKIJBVEKFk0tHG565iPjw+3grP5efgnHD21nt25+ay9DdH52he58fbyJi/enQ031Ypxp/UT2aaXhZm15hywsvD09GTf5apcuqH+7s4yTMBB6N+V96gtfALt2OvzO/H6qwFIMsjBXHm0aJqK4mnoTZwKroSp84j7VCqgY5K7dIIkTwmZsRRc+JlFi5yptWkm67POcX5XFC072NHww4MM6L6Vtd//waqZWVjsGo5Kr3a5zCiqAl5f1ImGK4by6tLxBK7ZTuCoSJb88gtDh6Zy5YojU6bAw3JPew/fh9f1ahwLEvz8609lnnf16lW+/mAWuX0hTQUGh5bx3XcVKpMDqHeDEnP3Mjz1Np9lH1BXKr+XPXu4tfo9enuDSZ4+N/cuZvPm8jtAABgYMHjHp3gp5sR5pLGnlJhuRVEIWReC+Z+7qXNsLc2aaEd1pmElZw7nQsovUzn/6kUMVAbMHTNIK7ZKw8/TidDZX2Jhaqwzm5Ing66dIF9fX8zMzAg9dIiaf8VisGIFx+xsWBSYA9Wrw+LF/LdrF5Ft2iCiouCjj9Q5QIVJ5dyb01C00qqnB599BsHB6oeQvj4IQWM3N37s2ZPvfvyFdpZ2HMuMISmzbOGT1IQrxOdsI6HXab432kCrkRP5bYELbWoFlHq+vr6+Os/ixAn4/HN14zffQNeu8McfzOv4DV4Gfhh1MWHF6n33XX/ypFrByt/fnzNr53PJ7xLfbzCGkSMfZ1jLJGBwd6zHVyXad2ypx0/t28h6hyTqmVZh2fh3NGKzJCn+lnS8DsevfFvcVqAqINU6gtqmF+jRo0e5711awVQAF8WXSyic3nZ/SFoRBw8exM/Pjz/+O826nGRcbwdgVenRn3fu7u5kZmaSXLcuXf+6QFRYSyyPuDJQ/wQjXuqGgYHBXSFxeXl5xMXF4eTogbJ1EyN+vYmogApj+wbdin8ODrh7l9HHx4e0G2p1sgvZJ9ldI5+ecZBVWbv1ckCtEJd/MwVTV3VecYKZekeoTUPNRkyUhqOjI0OTUxidnQrx8bQ1U9EgzUEnu9xBtRtgAgiDcFBUxKsUrNBujmURxpVeA2Dt6SwK8hVum8dxPFU804VSQTpBzwf7+rPuDze8VgxhePxNaifp4bduAfOnfs3583kMG/YWTZo0AbbRvfsVMnbPY/u8N8jb+wYFSVcfy9Qvv9Rne8ZJbi4fxB+/1URffxcjRtTl6tWrLFq0EH39R3thVxmYo4RthD83ER6yoszzvvjiC2Y1yuEHAUOqBHBqdyM8PR+ry6Wir69P+zYmeCfWYbNBNul/z7u/j362vNZTj+g88D3fgMunXKhevZSbPSZm5oJ6+V2IVOWzO/R+B/DE0UP82DsNP8+rfN5Lew+4OT0XEVUVTByOcZZcqqR40qqZFCmQaB5bW1uMjY115gQZGBgQGBhIaFgYNXb+xe+t1lDP5hb2lxwgNpYEJyfOnj1L27Zt1bKS06apHSC3coa0jB7NkO3baVSjBrnhmaiARf+VXgdJlRHH98sbcLq1CkerShyc9AsdO5axqnPrFuzYod6NGjtWnbPz5ZfqvKWxY6FVKxg8GMN9B5jp2w5Xs2x27ri/DluxMlzdutil/cSNBE96516C/v3L9/veg1etWrTJyyXc9AaqgvsTg8xurSRRBR82H4ehvmbyRUrSv9MEAE4cX1ncdibiX7IUBeuUO+p75aEsJ8i32hsArAo/Xep1KpWK0NBQGjVqxNRt0xDZlZhv0/WxbBcJKkRHR4OLC6YbthNzuxW/JMBH2T/iWbfrXTtB169fR6VSYYQhVepvJNO/6mPZuxd/T3WUhEtuZTrUu1sx1Nvbm6zr6pCwGKM4Didko6cIGuggR8TLy4u6F1L5LSkR/viKm5a3sUUfB5uKrFA+Gnp6epilWZFrG83tLduZ45RNs2s+Osl1NNA3oKoKrpPF5aORpKhAJGjghegRaN5SvXsZlRvD5Wvp+MXl8F1mPiYPEPd4FpBOkI4pUBU8Vm2aMslL49TF/USnRnMy2ZXs3QL7GOixrwPHF0ZzOHwkivI9N27YsmTJT0yYMIGrV79g7Vofpk49i4u1Of+d/Z2631UnPuXaw+0Bcef+YcL1CGpl2nL7yLuMH7+R1NR2fP/9aJxK6so+AkZGsPS7WnzT8S8W9bvI2QMh952TmZnJX3/+hmE3Iyrr6TO19waNlhZp1641Mbs8yFJg5ZUf7xwoKIDr1/l442tsyFRhviuI8S9PqnCR0pIM1m+FARAt7i+K+N+WUQyyjiaw6kqajdRevR5T0ZSXPlrPxcvVCHHUo1XKw2sXSSTlQQiBm5sbNo+dSFd+goODOXHiBKq6XvRrWpiE/9E66NSJrYUhY23bttWMsY8/RqSns6x6dfZvz8DFALbvLz3nb+yPLZh6Kxm7m1YcHxVBULWadw7GxakFCopW948ehbZt1Ts+330Hb70FkZFQubL6Ibp6tXpnq0cPXqnRlzMu+jTSv7+AZ0REBPb29lw8t482qRfZcVRBvDkYNKTUJ4TA55YNiQoc3vXNXcdyc3PZ6WaAtRC0D3pHI/bupVY1P9wLDNmZZqR+fgM///w7ABYZnhVarS7axbzXCerWqi8oghC9jOLCmSU5c+YMaWlpVKuTQIrTDsac8aTK+Pcey7a7e6EAQHS0ukEI/rCw5LfrpsSKBAI6n+Dw4cPF9YKK5LEvq0KofRWM6lVMucvQwIhvHWz5uaohVSzuTr6vUqUKlvrmWCj6XDdLJvRCNkqyK9U9tP9SbmNjg73ixIsN87h2JoIEo9vY5etOqtnLIh/Mkog//Ru5CghRSiSJlrDPteKiviD8kLomU76Wi7QWEexVHQG4Oh/g5HG1Op1h6rNf2kI6QVrmxo0bNG7cGGdXJ/q+7U31j4xZNrktOTk5/HnyT3ILch9+k1K49l8fWi5rRq8POuHXfS7fHq7B/DdCOXdtC25uLuzYkc/Ro4358ccvOHbsGHPnzi3O9Zg9ux5JnCJkRxeuiAL6fudHXsEDxAEAVHmMWjuAbBVE/76eoUOi+PLLzhgblz+UqWlTOJI2hJFp2cz99/6k1RV//42Sl45vQTsC1qwmOlKzMbft2rXjxsl/qaanxx82KXBKHTLCV19B7dpcCP0Im4jXyT/SgS5dumjUdtsR3emYA4fMskmIjyluV+VlsVXvOGm5MHtStwfcoeK4u8M229Os9orlxIVajBnZ5uEXSSTl5LfffuPDDz/Umb3g4GByc3O5YekMF4Gb7SDpFsyaxerVq3FwcCAgIEAzxmrXhlGjqBYSgmGcMUccLHkjy5x7xdpuRF3iaN5F6qS40SWvHzZmhU5hTIw616haNXWYW5ET1KAB7NoFYWEQHQ0LFtytyGJjA5s2gZERegOHc+JGPToG7CTsyN2heOHh4fj5+bEl+iMu58ELJ64+sEZNebC3VT+vvty95a72w8tWYmmdRvOsahgZaDH09UojjhgVcHOvWja5SZoZZ90EAf4vVei2lpaWVKpU6T4nyNHGitpR/XGwD0Yxvz+P8uDBgwgBe9PX4yHgs3c/fyQxhJIUOUFXr96J2Dh8+DDeLo3wxYMTppexMMguDncscoIuGZ/BTejj26Pi9d7G9F5Dh3Zz72sXQlDTpyYOeZbEGaeTUvkaBgl2xX3WNtmWvqy/DXtTYtDLrkSl9IrLcj8qno7q3Y99efswvgiH7LQvyFCEeaYzlwsU4vdehpXL8LPSjUS1qZEZu42qMkFYY5SxFYBgq4fXJ3vakU6QFrl27Rr9ugVRvVoYNsNu8k/lC1jqw7+RvtRo7MiA1QN44/f2qJQHF5m7F1X0al47HUJ2AVz/zQQvr3DW7o+gYXBD/v4bwsOhdWsD6tevz/Dhw4uL4xUhhGDFikDm/7OerxVj9hQk88Pfbz7QZvr6t1Dp59HvLMydmcrChZr5wxs5rRHXblZnmUk6scfX3XUs9eOpdKhdjeZT/qVKnW40b64Rk8VUr14dDw8PqiY6cybThIzEODhxguy1k1np9x6/ze9EyppGjHgrByNNbgMBODoy4bIfH+1vwIY1h4ub//rrDXbmwdBYe8xavaBZm/dgaAi29dbxUcEtfjS/RXCw5sNUJJIiGjduTM2aNR9+ooYoEkeIUCnwPjBuG3TuTJybG+vXr+f1119HT5Nby7NmIWxsWGRhxdhf/fhg1XS2bbt71z9izS/sdRHcWq6iV88e6sZfflHX6Vm0SC2bfO4cvPOO+piNDbRsqVaocy0j6btaNXW43K+/cs2xPk1uX+WTv+44mwUFBZw6dYoG9auyKOYkL9p7UP/0BTQSV1wC/7av4atnyFlx5K5gh5AfYvALm8Lkmh9r1N69BDrVB/MEli5eA4qCg0MMBgmudO1R8ZA/FxeX+5ygyMhIplgeZnGb7zl96v4QwEOHDtGvQTtWuObx5+2mGLdo99h27ezsMDExKd4JysnJITw8nKCgIF5QNed8HnRvXq04JC4mJgaEMacMEvHPsoNyikHchUNzqFa66qCPjw++0QrvWhshqpzHQy9ZZ06Qew17usfBbvNIds25SZPTupNqdnVQ16b6rzBVMMc4QGe2PWNfweTb8xjnnCdzwpsE1nXUmW0l0QVXx5vcSlXvcvtU1d3OvraQTpCGuXXqCt+PnMCJfZG0aNGCcy9eZ5mPitvo0/bsm/huP03dhj3w1HdlqpEpf17dzeSNj5GcmpvKF+sGsCMLKm0eSlzSUVJS/Lh0Sb0yUbfuo0U41KsXwOuvD+Kzb+xpYqTH5+eXl7kblJ2RSv7NZXwQ50LH9j/z1ludKixMUISfH1SLnUABMGf9gOL2qN++YnX/G/zd/jrmzrF88YVm7JVECEG7du04sKQ7Nz69TZRZC7KndqdFVxVLA9dSrVo0ijKGIUMe7CCWF8cWXzB46xE2fK1OLqUgl8Wxq7HGgKZ+ZedJaRIfa7VnmeDkrxN7EomucHV1xdnZmZ2JiVClCsyfD19+ydKlSykoKLhbaU0T2NjAnDmY167N2v2hRL3wNu/vnVp8OPJKCsu32fPX0Z6kZqTSpqg+UUKC2tG5eBEWL6ZciYdBQeDvzwtdp2CpB1Fm/xQfunDhAtnZ2WxMMyGxAGa8MA+0kJsVFBREw5M1aR05iPOn7kQ4/Hu2Lkv+GUjj117WuM2SzHrtVXbbW+CSFUnKmWjG3M5j/gm3+xYBy4Orq+vd6nDAqlWrWH04jhijZG4sCLgvzP3gwYN0aWxKfq4lwWP+KJddIUSxQhyowxrz8vIICgpi3Jsz0Qdy/NOLxRFiYmJw83MnRVFo5Kp91U1vb2/+/SOVF87U5qQ7mJ66obOQV1+v2tgrRsRZpGOIgkkN3e0ENagezBxjG3KFOmerim0dndn28qtFWpIXl8wzCM3NxTlAN+FwAOGk8rm4wsk49YKAg6eGV6afANIJ0hAXN19gUp8xNF/lyxznr5jY712Sk5MZpDeMHuELGJSdyB9f/8RfO3yYNq0tm3aFcu2fDxlibsAXRxfyxa5HKNoJhP3bh+nJ2dS44k3ckYXMmgVXrqjFih6X2bNncz1LRd6OqVwT+WyLWHPfOSkpKdR9M4ian86g628Hqd988OMbeggLFr5Kt1RYQgbRYZshNZnvL7/LHn1w3PcBq5a4oa1aYO3atSPn9l94OV4m8a8BjG0ZzeEcCD8+noyMzrRp0wIfH+08ZGoObUPDavM51/5z0lMusj3yMLty83C50JVOY1tpxea9NHJXJzuax5evhoZE8jQTHBzM6rNn4cYNGD0alZcXixcvpnXr1nh7a2HlePhw7NavRxgJ3ByiuGzwe/G78Yytn7K03vsMXnKKAS+9hPGFC+oD772nDmmr6Aq6omD56igCj5tyUsSRkKHODYqIiAAjJ05b/4nrlUCCZ618yI3Kh6WlJQX7KzF/xTz+W6wO3zp9/jonxvXEqPNMjS2clUXd2vWpiSl2jrdYvWIbpxwPcKLARSMJ66UVTF21ahWh0foMuwGTK59WS6YXcuvWLS5GJzCnykaWpjRE361quW2XdIKKiqQGBQXh6lGdmclN+cQzhfDDatnimJgY8jzVIUqvDfio3DYfFR8fHzBy45PbxlRSgPyqOhEIALU4gm2WJetIx+9DA7Kq6E5l1Lu6N/5JtQhwU/+bN/DSnUx07eZVaP5WG9b7/kWnOBUeVXWz8waQZKNiYTpUFfl8YmlKjdr313B61pBOUAXZuGwjg+p9zfgDbfii7nckiCwCz7kSkRvG9u3b+WTmD6xZPZIPPrbCscSupbm5GT+FTcDpv2l0N4fJu6aw+ejmB9pS5aajd3UXwbctuPj3QSZOFLz/PpiZla/vrq6uvPvuYI5ty4Mfj2Od3euu49evX6d7V3+ifC5ys1Yc46a64eVVPlsPwsLCAsOrPckv0Gfaipn8M9+Pr1BolerMx4MmcW9Bd02iXo1NomqjP2lbaTWLs2Fy4BAm9c7h5s1TTJkyRXvGDQyo3vgsp23P8sOaSawang4rVtDfXzs7T6XxyZud+NDlGL++o3nnViJ50gQHBxN16RKJier6Mdu3b+fy5csMGzZMazatLC0ZEdyIAZWvkGZ6jQvJ50nKTGJz4jfUNnTGNP08X547B82aqQuuCvHYuSKlIgTY2zP5UB7owYer/gTU+UB967/IiLSm/BQSo66JpCWs29fAxf9zlscuAGD9kWmo9HPp00jD4cSlIQR/Jjix1e0wO3PUgjO9OmtmN8TV1ZUbN26Ql6eOloiKiuL48eO8PWEqAelGHDWG7cs2FJ8fGhqKZ7AXZ/JVVPV4tJpAZeHh4XGXE2Rvb18ccvamewdsjulR5WYUiYmJxMTEMO5SJTbmvoSbtfaLd/r4+EDlHN73OEjfBHBw9tC6zSK8vLyIPKV2Pk6q8nGw150jUq1aNXZEVWZpGlRCXydiEEXUrVWDI467CM9TsIXHFqWqCB5V1HNZDyN65Lg+8zWCQDpBFWZZyNds6T2OjQaxNEwwpfIqD9KvefHftm3Ur1//gdcaGAgmrZxB59MDWGNZhT8Hfles8nIviqIwdvwUWkzO55Wst/h4RmU++aTi/Z84cSKNmkYQYJyCwXY/QpbNQ1EUzp07R+MmjSloHYO50Cf41uTiMHVt0KHLaFQr/8Q9O5ghyjV8s2FKl194/XXt2QRwcHDA39+fmCupADjhzqz23/Httx/ToEEDzalHlcGrrw7ESTFmW+JqLC1O0CJSjwljtGuzJPr6MGNIPYyMdLN6J5HokqK8oLCwMAAWLVqEra0tPXv21J7R7dv5eu9eXCPVL8wbI1cxc90HZORn0z42ihBHR8zDwmDePLDTsLrS0KE0uJ6Pe4Ep/575CkWBQ4duMLnrEabXiKBDvgKDtbfgUa9lS+p0n0m0/3coisLWS39TTR86t6lgdetH5KqLMd/k3iaavzEVMLxvH43c19XVFUVRigt7ryosnvvyyy/jnKueY99G3ZEmP3DgIJerZWKaUI0u7cdUyLa7uztxcXHk5OQQFhZGUFBQ8W6Ly6vDWXo4B313dQ5SbEwifV7Nxe5KVoVsPipeXl6QpFZG25MFVT2073jdbfvO7ltAdS2s0JaBpaUlS/MTuZgHL+W46qRQahGOjo64Fqi3l60LRIXEqR4X73rqWkFbDW5xKMUYt/KWFHiKkE5QBZn32R/0rd6JQ6/t4NB3mZwNv8yOHTseOQ7Z3EqfLpO+Zcan29gQacfsebNLPW/mnMYsif+NQSPHMWL+50yZgkbkoi0tLdm7dyPNWhew1vIck05OpHmL5jRr1owAv5vs11doGN2ZxQtdtRrOMHBgc0wup/Ky6x5mUJXEFRN5obV2hQGKaNeuHVGnFuL73yXe5ALr167nwoULTJ48Wetb+23bBFItphYhmaDqMI26jbc987r7EsnTQmBgIHp6ehw6dIj4+HjWrl3LoEGDtPvi0LIlKnt76hyDOkbw5Zaf+PnsInqZw9V/c2h44wZ8+CG88YbmbTdpgsqnJh9gzIeV9DhyBGLsrrDCIhzjf1Nh/ASNyWKXRuPGjfG9nsM1Cvhn1QL2FmTR9hbUb9BQazZL8kKdnqiAPaYF1NLXx8S0kkbue2+toFWrVhEYGIiHhwdBLd7B5Lo3IVYxkKV2Pg4c+49ct3D6pPkhLCtWRLNo1+fs2bOcPXuWoKASIUgODizq1ZgdrezZsWM7Lk5W/GN8mSwX3UgXm5mZ4eZ450VYV6IIoH53cU82w9cIPA3BxUl3jgiAZZ5akjs4oS6OjroTJxBC4J5T+PKXVFVndgEa1W+AyDdmjZLEezf1MdDEDvYTRjpBFaRKlSp8238TQdXKv+XtVLMyh6/5UmNwOHPSPyTk6N01c1aumsnXqlCqVDfnVuLHGn8xF0Iwe15bSKzBcdN8bueFY2VtzumgHGrqCdp7LKSulmtoGhoa0q/fJZp9+B+TZ+3lzX66iy1u164deXkZzJt1kQ9nGvLpp5/i7e2t3dXiQoyMjGhyXv3FmRmmouuMHlq3KZH8v2BhYUGdOnUIDQ1l6dKl5OfnM3ToUO0aNTREb+BAGp2HERb6GBSkk6OfQ4dUK2bmWoGjI7z9tnZsC4H+8OH0DcvmNY8r/PP3HmJq7eRclj62p1HXGdIiXl5e3DqjdjDHRkxCBZhHe+lstbpx7VcRhTlYHlmaeyku6QRFR0cTFhZGnz7qXaa27V/E6qwDWQ5RHNp7WV2s1D4MPeCz/hVfyCtyLNauXYuiKHc7QUC7yoHkWidw8ux+HAPzmJwErk1bVNjuo+Lj44P5Znv4Tfc7A+5VamEsoFKmvU4dEYBq9moHQHHZh6GhoU5tm95Wz0flpu7EIAD09fTx1le7DYYp2i9MqwukE/SUYGQk+LOLL2YGMOyPvhQUFnw7e+Ek00/NxhhB/t+b+GCmdnYJrK1h+kvzsNcDpy76HJvTje5WCt9YtWbS+1pSJbiHoUO7kp7VHaHXjrff1l2ifvPmzTE0NGTbtm2EhIRw7NgxJk6ciL6+vk7s27brz5xvIHxLpTuKURKJRCMEBwcTFhbG4sWLadmypdaETu5i0CAM8yD4qjlX6iRw0QO2bE7DtGNHmDOn/Imcj8Krr7LHoB7hOfCFZUtyhMIw5zawbjNYVWxX4mHo6emRZN0SHwOBo2kmi2yMMHTTvkpZETZWrhjdqk4nM5hkN0hj9y3pBK1evRqA3r3V31EmJib09rQhzMqd8GM5RERE0t2+MjPNBE4vVDz3rMgJKgrBu9cJGt3lbfQAc594kpzj8RQGVO804N7baA0fHx8yQhPgUo5Od4IAvL29OHHNjfAIO+w0HVr6EGq4qx2+d7IydWoXQGSoQ/+qpdXSue0v0tVlDlqYxzzkzGcD6QQ9RVg4TmeCqRVXrFMYNf8tMjMzGbaoIecB39CpLFlUD20IGhVh6vcigwqc2FKQSnjKRt4T1WkzZKP2DN5D48aNqVUrnf79G+Lg4KAzu+bm5jRp0oRt27bx6aef4uLiwsCBpddF0AbN27Vj2i3w6/+KzleUJJLnneDgYFJSUoiKitL+LlARfn7k1anD7flpbLzQCcscI85neuO1fLlWc3IAsLUlb/gUfo5Wh+v4ZOtTr/ln0Lixdu0W0iC4KbUyK6PkG3Pi494ENdKtjG4d4UhMPri3elFj97S2tsbMzIzY2FhWrlyJv78/NWrUKD7evmNnGricwyHzF/74OZJBvmm8nN0eDCr+PC9ywE6dOoWHh8d9340ezp7Uz7fihO01zhqm4J9dBTRd1+4BlFxU0LUT5OXlhWplDHYRSTpbtCwiqGoQnIQGV8shzVtBPK178VXUGGytA3RuO9tArT7oq5u1ca0jnaCnCKfGtfCOfJs6RrDi5q8MG9GW01bZvJxVk17NpvCCDlJkbFIWAdB5cysmbNuKvpnu8lOEEBw+fJiffvpJZzaLaNeuHceOHWPnzp2MHz9ep8mGwcHBTJ48mffee09nNiWS/xeKxBFsbGyKV+91geHKlcwJasorX+3j7cm5zGvdDj0dhfg2b9yYajszCUqpzGeLTXGIy9aJXVAvZlmvUDHot7c4Hb+GxjpyvorY8NZsNlXtg5NfA43dUwiBq6srYWFh7N+/vzgUrog2L/ZnxXmF2QbzCc9aRBy51Bj2YRl3ezxMTEyKQ73u3QUqonVWXa6rCkhXoJGv7naBgLuk5l3LKuirJby8vOAGONvoNiwMwKu6F6wCXxvNFI5/HBo3tmX870uo36R0IS1tsk+lXlxR7HRX+FqbSCfoKaPXl1MYkhpAjkkely4fYUeeHfVu/MjYyeY6sT90eheM1y8jM7o50z6trvXaDvdibm6OkQ5XsYpo105dzdvGxkZ3q8WFGBgY8MknnzwXcpMSydNGrVq1cHJyYvjw4boVHfHxoUvfvmSmpfNRuj5td+8GlUonpq1tbel5yIiwr5PplJyB0OEKfcOGDfn94i1WXvyGC86Vdf5i7FizNW79/wE9zSZtu7q6sn//foD7nGkrKytuprhyXIFtbluZEWeKgYPmaqgU7bCU5QTN7P0pix0EBirBoB4TNGb3USjaCbK3t8dUi6IbpeFVWLND1/lAAJ6eallsXSrDFaF2PDPw8NCdJHkRQYHvYr4D2rZ6PhZtn31ph+cMY2tTAm3fZ3na5xzOfwG/We8ToAkZuEfEzg7+nPYKublQu7bOzD5xAgMD8fT05K233sJSC9XUJRLJk0FfX59z585hps08nDJ4xcyMsQAFBfDxx2pNel0gBOFBQVTdt48jvr401uGLWqVKlajp68uB06fp3bixzgRutE2RM1e7dm1q1bo/F6NKwBjqxk/iZC7Ui66PJlcQ3d3di+WxS8OiUVNeH6bw8lUw+UB3oeRFfTMxMdF5KBxQHJKoy1o5Rbi7u/PRRx/Rv39/nduuV68eW7du1XoJj9Lo27Mv+ip9mjTSXr0xXSKdoKeQpu/1YGgrXxybe6CnQweoiF69Hn7O84aBgQEXL1580t2QSCRa4EktbNhVrgyAYmWF6NpVp7b1hw3j1337MB00CN0GpKlD4k6fPq3zUDhtUrTif28oXBFtuw0mcvoXmOZbUq+rZlfJq1atip6eHg0alBHiJwS5n/yLSE3VqN1HoahfJXOkdIWZmRnDhw/nxRc1l//1qAghmDZtms7tFtG+ffsnYtfIyOiJOH7aQjpBTymLdnpRKBAn0RHPy4qlRCJ5SujSBQYNQowZo9GdgUfhhb59+fzKFd4ZVnGFsselSZMm/PTTTzRp8nysFgNUr14dKNsJsrOz49jpmmTs30/gPM2qfI4bN462bdti9QB1P6MuXTRq83HYtGnTE6sZ8+OPPz4Ru5LnA6EoypPuQ7kIDAxUjhw58qS7IZFIJBKJpAS5ubls2bKFrl27PjeLS9nZ2YSHhxcLbZTG/v37CQsLY9y4cTrsmUQieRhCiKOKogTe1y6dIIlEIpFIJBKJRPI8UpYTJNXhJBKJRCKRSCQSyf8V0gmSSCQSiUQikUgk/1c8NU6QEKKjEOKcEOKiEGLyk+6PRCKRSCQSiUQieT55KpwgIYQ+sADoBNQG+gsh/o+q1EgkEolEIpFIJBJd8VQ4QUBD4KKiKJcURckF/gK6P+E+SSQSiUQikUgkkueQp8UJcgFiSnyOLWy7CyHEMCHEESHEkYSEBJ11TiKRSCQSiUQikTw/PC1O0COhKMoiRVECFUUJtLe3f9LdkUgkEolEIpFIJM8gT4sTdA1wK/HZtbBNIpFIJBKJRCKRSDTKU1EsVQhhAJwH2qJ2fg4DryiKcvoB1yQAV3XTw4diByQ+6U48x8jx1T5yjLWLHF/tIsdXu8jx1S5yfLWPHGPt8rSPr4eiKPeFkBk8iZ7ci6Io+UKI0cBWQB9Y8iAHqPCapyYeTghxpLRKtBLNIMdX+8gx1i5yfLWLHF/tIsdXu8jx1T5yjLXLszq+T4UTBKAoyiZg05Puh0QikUgkEolEInm+eVpygiQSiUQikUgkEolEJ0gnSDMsetIdeM6R46t95BhrFzm+2kWOr3aR46td5PhqHznG2uWZHN+nQhhBIpFIJBKJRCKRSHSF3AmSSCQSiUQikUgk/1dIJ0gikUgkEolEIpH8XyGdoAoihOgohDgnhLgohJj8pPvzrCOEcBNC7BRCnBFCnBZCvF3YXlkIESKEuFD4f5sn3ddnGSGEvhDiuBBiQ+HnakKI0MJ5/LcQwuhJ9/FZRQhhLYRYKYSIFEKcFUI0lvNXcwghxhU+G04JIZYLIUzk/K0YQoglQoibQohTJdpKnbNCzbeFYx0hhKj/5Hr+bFDG+H5R+IyIEEKsEUJYlzg2pXB8zwkhOjyRTj9DlDa+JY5NEEIoQgi7ws9y/j4mZY2vEGJM4Rw+LYT4vET7MzN/pRNUAYQQ+sACoBNQG+gvhKj9ZHv1zJMPTFAUpTbQCBhVOKaTge2KongB2ws/S8rP28DZEp8/A+YpilIDuAW8+UR69XzwDbBFUZSagD/qcZbzVwMIIVyAsUCgoih1UNeV64ecvxVlKdDxnray5mwnwKvwv2HADzrq47PMUu4f3xCgjqIofqiLxU8BKPy+6wf4Fl7zfeG7hqRslnL/+CKEcAPaA9ElmuX8fXyWcs/4CiFaA90Bf0VRfIG5he3P1PyVTlDFaAhcVBTlkqIoucBfqCeFpJwoihKnKMqxwp/TUb9AuqAe118LT/sV6PFEOvgcIIRwBToDPxV+FkAbYGXhKXJ8y4kQohLQAvgZQFGUXEVRUpDzV5MYAKZCCAPADIhDzt8KoSjKHiD5nuay5mx34DdFzSHAWgjhpJOOPqOUNr6KovynKEp+4cdDgGvhz92BvxRFyVEU5TJwEfW7hqQMypi/APOAiUBJBTA5fx+TMsZ3BPCpoig5hefcLGx/puavdIIqhgsQU+JzbGGbRAMIIaoC9YBQoIqiKHGFh24AVZ5Uv54Dvkb9xaAq/GwLpJT4QpbzuPxUAxKAXwrDDX8SQpgj569GUBTlGuoVx2jUzk8qcBQ5f7VBWXNWfu9pnsHA5sKf5fhqACFEd+Caoijh9xyS46sZvIHmhWHIu4UQQYXtz9T4SidI8lQihLAAVgHvKIqSVvKYotZ1l9ru5UAI0QW4qSjK0Sfdl+cUA6A+8IOiKPWADO4JfZPzt/wU5qV0R+1sOgPmlBIGI9Escs5qDyHENNRh4MuedF+eF4QQZsBUYOaT7stzjAFQGXXawnvAisKokmcK6QRVjGuAW4nProVtkgoghDBE7QAtUxRldWFzfNGWdeH/b5Z1veSBNAW6CSGuoA7fbIM6h8W6MLwI5DyuCLFArKIooYWfV6J2iuT81QztgMuKoiQoipIHrEY9p+X81TxlzVn5vachhBCDgC7AAOVO0UY5vhWnOuqFkvDC7zpX4JgQwhE5vpoiFlhdGFYYhjqyxI5nbHylE1QxDgNehcpERqiTwdY/4T490xSuJPwMnFUU5asSh9YDrxf+/DqwTtd9ex5QFGWKoiiuiqJURT1fdyiKMgDYCfQpPE2ObzlRFOUGECOE8ClsagucQc5fTRENNBJCmBU+K4rGV85fzVPWnF0PvFaostUISC0RNid5RIQQHVGHJXdTFCWzxKH1QD8hhLEQohrqBP6wJ9HHZxVFUU4qiuKgKErVwu+6WKB+4fNZzl/NsBZoDSCE8AaMgESesflr8PBTJGWhKEq+EGI0sBW1StESRVFOP+FuPes0BV4FTgohThS2TQU+Rb3d+iZwFej7ZLr33DIJ+EsI8RFwnMLEfkm5GAMsK1wYuQS8gXrBSc7fCqIoSqgQYiVwDHUI0XFgEbAROX/LjRBiOdAKsBNCxALvU/YzdxPwIuqE50zU81vyAMoY3ymAMRBSGEV0SFGUtxRFOS2EWIHauc8HRimKUvBkev5sUNr4KopS1jNAzt/HpIz5uwRYUiibnQu8Xrib+UzNX3FnB1YikUgkEolEIpFInn9kOJxEIpFIJBKJRCL5v0I6QRKJRCKRSCQSieT/CukESSQSiUQikUgkkv8rpBMkkUgkEolEIpFI/q+QTpBEIpFIJBKJRCL5v0I6QRKJRCKRSCQSieT/CukESSQSiUQikUgkkv8r/gel9dYmqKrpzgAAAABJRU5ErkJggg==\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(14, 4))\n", "ax.plot(y, 'b', color='black', label=\"Cas positifs\")\n", "ax.plot(fit1.fittedvalues, '--', color='red')\n", "ax.plot(fit2.fittedvalues, '--', color='blue')\n", "ax.plot(fit3.fittedvalues, '--', color='orange')\n", "ax.plot(fit4.fittedvalues, '--', color='green');"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Single Spectrum Analysis (SSA)\n", "\n", "Le module [pyts]() ne fonctionnait pas pour moi. Je suis alors le notebook [Single Spectrum Analysis (SSA)](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/notebooks/timeseries_ssa.html)."]}, {"cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([[7017., 7157., 8975.],\n", " [7157., 8975., 8550.],\n", " [8975., 8550., 7071.],\n", " [8550., 7071., 4203.],\n", " [7071., 4203., 6544.]])"]}, "execution_count": 29, "metadata": {}, "output_type": "execute_result"}], "source": ["def lagged_ts(serie, lag):\n", " dim = serie.shape[0]\n", " res = numpy.zeros((dim - lag + 1, lag))\n", " for i in range(lag):\n", " res[:, i] = serie[i:dim-lag+i+1]\n", " return res\n", "\n", "lagged_ts(y, 3)[:5]"]}, {"cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [{"data": {"text/plain": ["(156, 156)"]}, "execution_count": 30, "metadata": {}, "output_type": "execute_result"}], "source": ["n_lag = 7\n", "lag = lagged_ts(y, n_lag)\n", "u, s, vh = svd(lag)\n", "u.shape"]}, {"cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from numpy.linalg import svd\n", "np = 6\n", "fig, ax = plt.subplots(np, 3, figsize=(14, np*2))\n", "for n in range(np):\n", " i = n\n", " d = numpy.zeros((u.shape[0], n_lag))\n", " d[i, i] = s[i]\n", " X2 = u @ d @ vh\n", " pos = 0 #X2.shape[1] - 1\n", "\n", " # s\u00e9rie reconstruites avec un axe\n", " ax[n, 0].plot(X2[:,pos])\n", " ax[n, 1].set_title(\"i=%d\" % i)\n", " ax[n, 1].plot(X2[-29:-1:,pos])\n", "\n", " d = numpy.zeros((u.shape[0], n_lag))\n", " d[:i+1, :i+1] = numpy.diag(s[:i+1])\n", " X2 = u @ d @ vh\n", " ax[n, 2].plot(X2[-29:-1,pos], label=\"lisse\")\n", " ax[n, 2].plot(y[-28:], label=\"s\u00e9rie\")\n", " ax[n, 2].set_title(\"-->i=%d + 1\" % i)\n", " ax[n, 2].legend()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Points aberrants"]}, {"cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": ["d = numpy.zeros((u.shape[0], n_lag))\n", "for i in range(0, d.shape[1]):\n", " d[i, i] = s[i]\n", "X2 = u @ d @ vh"]}, {"cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from sklearn.covariance import EllipticEnvelope\n", "env = EllipticEnvelope(support_fraction=0.9)\n", "env.fit(X2[:,:n_lag // 2])\n", "out = env.predict(X2[:,:n_lag // 2])\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(12,2))\n", "ax.plot((1 - out)/2, \"-\")\n", "ax.set_title(\"Points aberrants d'une s\u00e9rie temporelle\");"]}, {"cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(2, 1, figsize=(14,4))\n", "outp = env.decision_function(X2[:,:n_lag // 2])\n", "dfy = DataFrame(data=y, index=dates, columns=[\"cas+\"])\n", "dfy['outlier'] = dfy['score'] = numpy.nan\n", "dfy.iloc[:-n_lag+1, 1] = (1 - out)*1e4\n", "dfy.iloc[:-n_lag+1, 2] = -outp*1e3\n", "dfy[['cas+', 'outlier']].plot(ax=ax[0])\n", "ax[0].set_title(\"Points aberrants sur la s\u00e9rie brute\");\n", "dfy[['cas+', 'score']].plot(ax=ax[1])\n", "ax[1].set_title(\"Points aberrants sur la s\u00e9rie brute\");"]}, {"cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}}, "nbformat": 4, "nbformat_minor": 2}