diff --git a/aeon/forecasting/_ets.py b/aeon/forecasting/_ets.py index f6ec85fcaf..9758d3535b 100644 --- a/aeon/forecasting/_ets.py +++ b/aeon/forecasting/_ets.py @@ -1,7 +1,8 @@ """ETSForecaster class. An implementation of the exponential smoothing statistics forecasting algorithm. -Implements additive and multiplicative error models. +Implements additive and multiplicative error models. We recommend using the AutoETS +version, but this is useful for demonstrations. """ __maintainer__ = [] @@ -85,7 +86,7 @@ class ETSForecaster(BaseForecaster): ... seasonality_type='multiplicative', seasonal_period=4 ... ) >>> forecaster.forecast(y) - 366.90200486015596 + 365.5141941111267 """ _tags = { @@ -193,7 +194,7 @@ def _get_int(x): self._gamma, self.phi, ) - self.forecast_ = _predict( + self.forecast_ = _numba_predict( self._trend_type, self._seasonality_type, self.level_, @@ -240,6 +241,29 @@ def _initialise(self, data): self._trend_type, self._seasonality_type, self._seasonal_period, data ) + def iterative_forecast(self, y, prediction_horizon): + """Forecast with ETS specific iterative method. + + Overrides the base class iterative_forecast to avoid refitting on each step. + This simply rolls the ETS model forward + """ + self.fit(y) + preds = np.zeros(prediction_horizon) + preds[0] = self.forecast_ + for i in range(1, prediction_horizon): + preds[i] = _numba_predict( + self._trend_type, + self._seasonality_type, + self.level_, + self.trend_, + self.seasonality_, + self.phi, + i + 1, + self.n_timepoints_, + self._seasonal_period, + ) + return preds + @njit(fastmath=True, cache=True) def _numba_fit( @@ -268,20 +292,18 @@ def _numba_fit( time_point = data[index] # Calculate level, trend, and seasonal components - fitted_value, error, level, trend, seasonality[t % seasonal_period] = ( - _update_states( - error_type, - trend_type, - seasonality_type, - level, - trend, - seasonality[s_index], - time_point, - alpha, - beta, - gamma, - phi, - ) + fitted_value, error, level, trend, seasonality[s_index] = _update_states( + error_type, + trend_type, + seasonality_type, + level, + trend, + seasonality[s_index], + time_point, + alpha, + beta, + gamma, + phi, ) residuals_[t] = error fitted_values_[t] = fitted_value @@ -314,7 +336,7 @@ def _numba_fit( @njit(fastmath=True, cache=True) -def _predict( +def _numba_predict( trend_type, seasonality_type, level, @@ -327,11 +349,11 @@ def _predict( ): # Generate forecasts based on the final values of level, trend, and seasonals if phi == 1: # No damping case - phi_h = 1 + phi_h = horizon else: # Geometric series formula for calculating phi + phi^2 + ... + phi^h phi_h = phi * (1 - phi**horizon) / (1 - phi) - seasonal_index = (n_timepoints + horizon) % seasonal_period + seasonal_index = (n_timepoints + horizon - 1) % seasonal_period return _predict_value( trend_type, seasonality_type, @@ -392,7 +414,7 @@ def _update_states( level, trend, seasonality, - data_item: int, + data_item, alpha, beta, gamma, diff --git a/aeon/forecasting/tests/test_ets.py b/aeon/forecasting/tests/test_ets.py index 64275a2d1d..176df75d26 100644 --- a/aeon/forecasting/tests/test_ets.py +++ b/aeon/forecasting/tests/test_ets.py @@ -24,7 +24,7 @@ seasonality_type="additive", seasonal_period=4, ), - 9.191190608800001, + 11.456563248800002, ), ( dict( @@ -37,7 +37,7 @@ seasonality_type="additive", seasonal_period=4, ), - 16.20176819429869, + 15.507105356706465, ), ( dict( @@ -50,7 +50,7 @@ seasonality_type="multiplicative", seasonal_period=4, ), - 12.301259229712382, + 13.168538863095991, ), ( dict( @@ -63,7 +63,7 @@ seasonality_type="multiplicative", seasonal_period=4, ), - 16.811888294476528, + 15.223040987015944, ), ], ) diff --git a/examples/forecasting/ets.ipynb b/examples/forecasting/ets.ipynb new file mode 100644 index 0000000000..ad9d795325 --- /dev/null +++ b/examples/forecasting/ets.ipynb @@ -0,0 +1,44 @@ +{ + "cells": [ + { + "metadata": {}, + "cell_type": "markdown", + "source": [ + "# ETS Forecasting\n", + "\n", + "Examples for ETS notebook here\n", + "\n", + "`aeon` has native a implementation of ETS and will soon add Auto ETS. Details on this\n", + " will be forthcoming when the implementation is stable" + ], + "id": "70dcc762ca5e1b6c" + }, + { + "metadata": {}, + "cell_type": "markdown", + "source": "", + "id": "f1fa7d726479eff9" + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/forecasting/iterative.ipynb b/examples/forecasting/iterative.ipynb index e98d588656..c0f8d8dd8a 100644 --- a/examples/forecasting/iterative.ipynb +++ b/examples/forecasting/iterative.ipynb @@ -1,8 +1,9 @@ { "cells": [ { - "metadata": {}, "cell_type": "markdown", + "id": "d7f79f17fc5714df", + "metadata": {}, "source": [ "# Iterative forecasting\n", "\n", @@ -24,47 +25,60 @@ "\n", "\n", "We will demonstrate direct forecasting with the airline data" - ], - "id": "d7f79f17fc5714df" + ] }, { + "cell_type": "code", + "execution_count": 1, + "id": "e1a1ad0e8e30b77e", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:14:58.605948Z", "start_time": "2025-06-16T16:14:58.412664Z" } }, - "cell_type": "code", - "source": [ - "from aeon.datasets import load_airline\n", - "from aeon.visualisation import plot_series\n", - "\n", - "airline = load_airline()\n", - "_ = plot_series(airline)" - ], - "id": "e1a1ad0e8e30b77e", "outputs": [ { "data": { + "image/png": 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+ ] }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 21 + "source": [ + "from aeon.datasets import load_airline\n", + "from aeon.visualisation import plot_series\n", + "\n", + "airline = load_airline()\n", + "_ = plot_series(airline)" + ] }, { + "cell_type": "code", + "execution_count": 2, + "id": "512d5683fca427e7", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:14:59.858569Z", "start_time": "2025-06-16T16:14:59.692652Z" } }, - "cell_type": "code", + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -83,113 +97,115 @@ "plt.ylabel(\"Value\")\n", "plt.title(\"Train/Test Split of Time Series\")\n", "plt.show()" - ], - "id": "512d5683fca427e7", - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "execution_count": 22 + ] }, { - "metadata": {}, "cell_type": "markdown", + "id": "d1a59c9017081cf4", + "metadata": {}, "source": [ "We want to train a forecaster on the train set and forecast predictions for the\n", "subsequent test steps. The `RegressionForecaster` is a window based forecaster that \n", "by default uses linear regression to predict one step ahead. It requires a window \n", "parameter. See the [forecasting with regression](./regression.ipynb) notebook for \n", "details. The `forecast()` method makes a single forecast `horizon` steps ahead. " - ], - "id": "d1a59c9017081cf4" + ] }, { + "cell_type": "code", + "execution_count": 3, + "id": "ff55e38056585c73", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:15:02.833697Z", "start_time": "2025-06-16T16:15:02.824630Z" } }, - "cell_type": "code", - "source": [ - "from aeon.forecasting import RegressionForecaster\n", - "\n", - "reg = RegressionForecaster(horizon=1, window=10)\n", - "p1 = reg.forecast(y_train)\n", - "print(\" First forecast = \", p1)" - ], - "id": "ff55e38056585c73", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " First forecast = 376.10513465806844\n" + " First forecast = 376.1051346580682\n" ] } ], - "execution_count": 23 + "source": [ + "from aeon.forecasting import RegressionForecaster\n", + "\n", + "reg = RegressionForecaster(horizon=1, window=10)\n", + "p1 = reg.forecast(y_train)\n", + "print(\" First forecast = \", p1)" + ] }, { - "metadata": {}, "cell_type": "markdown", + "id": "2106d4593aee61de", + "metadata": {}, "source": [ "what if we want to predict further ahead? The direct strategy, described [here](./direct.ipynb)\n", "retrains the model for each set, changing the forecasting horizon. This can\n", " be computationally intensive. As an alternative, the iterative \n", " strategy uses the predicted value and predicts without refitting." - ], - "id": "2106d4593aee61de" + ] }, { + "cell_type": "code", + "execution_count": 4, + "id": "5b091fcecbd3f267", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:15:05.268365Z", "start_time": "2025-06-16T16:15:05.257150Z" } }, - "cell_type": "code", - "source": [ - "y_new = np.append(y_train, p1)\n", - "p2 = reg.predict(y_new)\n", - "y_new = np.append(y_new, p2)\n", - "p3 = reg.predict(y_new)\n", - "print(f\" second forecast = {p2} third forecast = {p3}\")" - ], - "id": "5b091fcecbd3f267", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " second forecast = 427.1861353919512 third forecast = 418.40595828752396\n" + " second forecast = 427.18613539195076 third forecast = 418.4059582875235\n" ] } ], - "execution_count": 24 + "source": [ + "y_new = np.append(y_train, p1)\n", + "p2 = reg.predict(y_new)\n", + "y_new = np.append(y_new, p2)\n", + "p3 = reg.predict(y_new)\n", + "print(f\" second forecast = {p2} third forecast = {p3}\")" + ] }, { - "metadata": {}, "cell_type": "markdown", - "source": "there is a function in the base class to make iterative forecasting easier.", - "id": "5e1aafb6bc8b5f98" + "id": "5e1aafb6bc8b5f98", + "metadata": {}, + "source": [ + "there is a function in the base class to make iterative forecasting easier." + ] }, { + "cell_type": "code", + "execution_count": 5, + "id": "1b2267b78b0cdfef", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:15:10.611791Z", "start_time": "2025-06-16T16:15:10.451442Z" } }, - "cell_type": "code", + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "y_hat = reg.iterative_forecast(y=y_train, prediction_horizon=20)\n", "\n", @@ -212,125 +228,195 @@ "plt.ylabel(\"Value\")\n", "plt.title(\"Train/Test/Pedicted\")\n", "plt.show()" - ], - "id": "1b2267b78b0cdfef", - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "execution_count": 25 + ] }, { - "metadata": {}, "cell_type": "markdown", - "source": "Looking closer, we can see the errors our forecaster is making.", - "id": "9bf1c1e6d500cbd7" + "id": "9bf1c1e6d500cbd7", + "metadata": {}, + "source": [ + "Looking closer, we can see the errors our forecaster is making." + ] }, { + "cell_type": "code", + "execution_count": 6, + "id": "30d6ed16e3eaa898", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:15:27.178701Z", "start_time": "2025-06-16T16:15:27.018119Z" } }, - "cell_type": "code", - "source": [ - "plt.plot(y_test, label=\"Actual\", color=\"orange\")\n", - "plt.plot(y_hat, label=\"Predicted iterative\", color=\"green\", linestyle=\":\")\n", - "plt.legend()\n", - "plt.xlabel(\"Time\")\n", - "plt.ylabel(\"Value\")\n", - "plt.title(\"Pedicted and Actual over the test interval\")\n", - "plt.show()" - ], - "id": "30d6ed16e3eaa898", "outputs": [ { "data": { + "image/png": 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", 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" + ] }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 26 + "source": [ + "plt.plot(y_test, label=\"Actual\", color=\"orange\")\n", + "plt.plot(y_hat, label=\"Predicted iterative\", color=\"green\", linestyle=\":\")\n", + "plt.legend()\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Value\")\n", + "plt.title(\"Pedicted and Actual over the test interval\")\n", + "plt.show()" + ] }, { - "metadata": {}, "cell_type": "markdown", + "id": "3e97b9b31693702d", + "metadata": {}, "source": [ "It seems to be underestimating the peaks and troughs. Contrast this to the direct \n", "strategy which results in very different forecasts " - ], - "id": "3e97b9b31693702d" + ] }, { + "cell_type": "code", + "execution_count": 7, + "id": "bc5ed962ad010b89", "metadata": { "ExecuteTime": { "end_time": "2025-06-16T16:15:33.914963Z", "start_time": "2025-06-16T16:15:33.788410Z" } }, - "cell_type": "code", + "outputs": [ + { + "data": { + "image/png": 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+0k6cn3/+Ofv3KZDZvHkzxo0bJwUtLi4uePnllzGL9oMxxhgzD49PAAf6AynhgKMf0OEfwLtl6W6riB07zHxZqVTKS4Gmrcc0U0M7d2iGhjHGLBklhX70Ec1OiyJsJhW6Djg6CshMATzri8JqLkGlv72Yi8DWBoCdJ/BCdKHV5aj8FXUqdnUt/V0x+Xx+c28dxhhTuCNHxPLGwYMmHAR9z730BXBosAhMAvsA3Q7rFpgQtxqiUFt6jJiJKcCbbwJlywJr1uh2V0w+lNB9gTHGWBH69QOomkNgoIkGkJkKHH8duLtCnK45EWj8FWBto/tt2zgArtWA+Btiaccp4Jmr+PqK+i4XLuh+d0weODhhjDGFo9omY8ea6M5TosSOnKjDgJUN0OxHoPqb+r0PyjvRBCf+wc9cPG4cMHo0EKTjJA2TDw5OGGOMlQ4FC/v6Aol3ADsPoP1fgL8Bmt1QcHJ/Y6FJsVTKnpkXDk4YY0zB7twBqDVZs2ZUzNKId0wVW3e0AdJjAdcqokeORy3D3FcRtU6YeeKEWMYYU7D160XOCVVJNap7q0VgQjtyuh83XGBSwu3E1FeIEmPffddww2DGw8EJY4wpmIsLULcu0KKFke/4wWbxs9obgKOBK7+5U01+KyD1schxKUBCAvDrr6JCrqybH7IS4WUdxhhTMEoGpYNRK1alPQWiDonjtGXY0GydAdfKQMJtMXvi2PGZqzRpQlXMgQ4duIGxOeDghDHGzEAhtckM4+F2QJUJeNQFXCsZ5z4p74SCE8o78Xs2OLGxAb76yjhDYYbHyzqMMaZQWVkmuuOHW8TPcn2Nd59cxt6icHDCGGMKNX++qHHy3XdGvNOsTODhVnE8UF7BCS3nXL8OLFwIpKYab2hM/3hZhzHGFOrUKbGVOCPDiHf65BiQFg3YlwG8Rcd5Oc2cdOwIRESIJGHKP2HKxMEJY4wp1O+/A2+9JWZPjL5LJ6AXYG3EjxB39VZl6q+TGg04lC0w76Z3b+DuXU6KVToOThhjTKE8PYEuXSwg34TYuQHOFYGkUCDuKuDTtsCrLVpk5ORgZhCcc8IYY6xkEu8BMRdFD52AHsa//xIs7XBgYh44OGGMMQXauFEkwl67ZsQ7faCeNfFuU+Cyipx27KSnA7Gxhh8SMwwOThhjTIEWLwYmTgS2bzdBvomxl3S0DE6+/x4oWxb4/HPjDIvpH+ecMMaYAnXrJn62aWOkO8xIBCL2mDY4KWEDQB8fUc6edjMxZeLghDHGFOjtt8XBaML3AFmpgEtlwL02TMKjdk5H5PQ4wM69wKvRjp2zZ4EGDYw7PKY/vKzDGGOseA81Szp9TJd1au8JOAWI47FXi9zF1KgRYM2fcIrFTx1jjCnMw4dASooR75CKhmiSYY1ZFbaopR0uY2/WODhhjDGFef11wM0NWLXKSHcYcx5IfgDYuhTYdM8kSbHF5J1ERQEffwwMHWqcYTH94uCEMcYU5t49UbLeaJVhNbt0/LsCNo4wqRLu2LGzA+bNA9asAR48MM7QmP5wQixjjCnMpUtAWBjg72/k4MTUSzpaBCeUd0IzJ1WrilkmpiwcnDDGmMJQPmrFika6s5RI4MkJcTywN0xOk3OSeFdsb6alpkLMmmW8YTH94mUdxhhjhXv4H2XEAmWbAs6Bph4N4OgNOPiI43HGLI/LjImDE8YYU5D33hP1TW7cMPaSTh/IhhZl7Ckxdu1ascOJKQcHJ4wxphC0o3fZMuCnn0QFVIPLTAMebTdtVVgdg5MXXgCGDAE2q2Mspgycc8IYYwqRmSkCk9OngXr1jHCHUQeBjHjA0U8s68iFFrVOgoOBmBjA0cSbjJh2ODhhjDGFsLUFXnpJHIwiu/AaVYW1VuTMyYwZwCefGH5ITL9k9NfGGGNMtiXr5UQTnCTeBjKSi7yqqSrtM91wcMIYYwqxaxdw8yaQlWWEO4u7AcTfBKztAH91C2S5oGUm+zKAKguIv1HifJ34eIOPjOkJByeMMaYAFJAMHAjUqCGKsBncQ/WSjm8nwE5mVcxoOkSLpZ2tW4EKFYBhwww/NKYfHJwwxpgCREcDdesCZcsCddSfy0bZQiynXTqlTIqlSrpUwv74cSPNOjGdcXDCGGMK4O0NHD0q6nZQYqxBpcUCkQfkV9+kFA0AScOGYkmMehJZ86eeIvBuHcYYUxCjfLiG7wBUGYB7LcCtKmRJi2UdGxuxpZgpB8eQZiYlRVSQ5GqIjDGdtxDLdUknd3BCSbtULI6ZFQ5OzMyXXwLffy++JfDaKmPmISMDqFQJ6NULePLEwHeWlQk83CrvJR3iVA6wdQNUmSJAKUZ6OvC//wH9+wPJRe8+ZjLAyzpmgPpGUPXD554TB8pMf/99Had/szKApPtAUiiQeE8cUiKASiMB7xZ6HD1jrDjXrol8CQpMPD0NfGfRJ4HUKMDOA/BpC9nS7Nh5clzknXjWLfLqlKfzzTdiVplyd7p0MdpIWSlwcKJwlBz35pvA06fA338DAwaIF17uwkP79wPr1gFffAF4eKjPzEgCEtWBR5I6+Mh9SH4gagg8c4eHgF5njfb4GGNi+/CJE8D9+yJ/wii7dAJ6ihoncqYJTkqQd0LviZMn5/x/Mnnj4EThXFyAN94Adu8G+vUT51lbqYC0p1KQkRl/D4f/uIfKmaG4t+IeGlRVBx/0zag49MbkXBFwCQKcywN3lgFPzwEpUYCjumU5Y8zg7O2B5s3FwWj1TeScb1KKpFgyaZJhh8P0h4MThXN2BubOBTLSVbC9+AHw8D8RfGSIlqX0JeujHrl+ITrXcVqvpcBDOmiCEM3pIMDJP28/jadngZiLQMQeIGiI8R4kY8w4aCmXvoDASsycyJ0WtU6YsnBwolBUijn30o1t7HHg6td5r+Toqw421IFHrsOUT4Pg5uWJqVOt4OBQwjv1o/aeF4Hw3RycMGYklMg5bx7QrBnQvbuBl3U0u3S8WwOO3pC97B0710WenHXxH2mUDHvkCBAYCNSubfghstLh4ESh5s8HTp4EvvsOKF8eQMgf4oLyzwON5onlGFunAn/3wgXg6wXieI8eQMuWJbxT/67A9e+AiN16ehSMseJQqXrqqkv5YpRbZtFVYfOjL142zkBmEpAQArjXLPZXJk4Efv1V/KTdO0yeeCuxAsXFAXPmAOvXi1wTZCQC91aLC2u+J16ghQQmpH59YPVqYNq0vIFJZmYxd+zbAbCyBRJuAwl39PRoGGNFsbMDRowABg0ycIdd6u6r+eKhlOCElp09amu1tNO5s5g1cZNZuyCWFwcnCuTuDhw8CEyYAIwaBSB0HZARD7hWEwFEMegNbsgQEeBo0Dcy6tfxyy9F1Eeh5l9e6m3EtLTDGDO4evWA5cuBRYsMfEcRe4HMZMC5AuBRD4qhZd7JCy+IXU+ffWbYYTHdcHCiUA0aiCUd6ZuUZkmn6qul/mr188/AjRvAggWi4FORSzuEl3YYMy8Pcy3pGHSKxrQ7dihnR0kPz1JxzomCJCaKJZ2AgFxnxt0Aog6K6c3KL5f6tj/8UMzINGokti1qkm6TksR25Wz+wcClWWLmhOqg5N7NwxjTK/qikJBghMJr9GLX5JsEKmRJ55kGgFe1/lVKjnUqfAWcmRB/sijIrFlArVrAypW5zrytnjWhbX/O5Up92/Rt4p13gPbt81aerVkT2Lgx1xW9WokENKqTEnOp1PfHGCve2bNAmTJA69YGvqPYS0BSGGDjBPh1hmKDEyq9XwJXrohOxXRg8sTBiYK+QVGeCc2cZFd5pa1zt5eK41VH6/2L1I8/Ag8eiN092Wzsc/JaeGmHMYOiD1Fi8JkTzawJlQsoIplellwqA9YOQGaKqHZdAuXKiV1QN28Cjx4ZfISsFDg4UQjqC0HByebNQF/NrCsVXEsJBxx89D4VS2uyO3YAX38NTJ2a70Ja2iGcFMuYQb38MvD4sfiiYFBK20Kcm7UN4F5Lq7wT+oL3339AZGS+ZXImGxycKAgtvfTpU8CSTuWRYkZDz2gtlnpRaIq0xccDW7YAKl91cBK5H8hK1/v9MsZyeHkBVasa8A5SHgOPj4rj5WTchViPSbGECtr5cBcO2eLgROaoCyltIXxme29yRM63HT0v6RQkLU0Ue6NZm6vhDQEHL1Ei/8kJg983Y8yAHm2jhVzAs6HooWUhwQmTNw5OZI6WVF5/XRzyoCZ8qgyRoKp5YRoQ7eBp0waoVg14FG4N+Kn7jfPSDmMGS4alZZ2l6rQyg1Hyko6OwQltLqBaUbdvG2ZYrPQ4OJE5quZKW3xHj86XrapZ0qn6mtHGsm6dSCALDlYnzpHwXUa7f8YsCeWYLVsmKkEbDC3LSjMnCg9ONIXY4q6I98cSojL2VOBOqrTNZIXrnMgcVYF95ZVcO3QIrQ/HXRNbeo3YgM/VtYCk2CfHRPl829zFUBhjuqJt/TNnivIBBhN1GEiPFUn1ZZtDsdyqAtZ24r2ItkRTz50SePVV8f9c4v5izGg4OFGAPIEJCVHXsQ4aDNi5G3089MUkxaYqnKjDceI9IPIgEKiA9uqMKUjjxuJgUA/VXYgDe4ldL0pFgYlbDSD2slja0SI4YfLEyzoyFBYG9OoFXL5cwIXpCUDoGnG8ivGWdDT+/ReoXh0YM9aKl3YYUzpzyDfR4KRYs8LBiUyTYLdtExVbnxG6VkxdulUHfNqZZBYnJATYswdQaYITLsbGmF5R8cMzZ8QuOYOJvyWWh6nTuH93KF7uvBMt0E5ISj4+f94ww2Klw8GJDM2bBwwcKJrwPUOzpEOzJiboXkU7dv7+G7h+HbDS5J08PSdqJTDG9GL1aqBpU2DYMAPeyQP1kg5VfLbPv3ZsOTMnX30FNGkCfP65YYbFTBCczJs3D1ZWVnjvvfeyz+vUqZN0Xu7Dm2++mef3QkND0adPHzg7O8PX1xdTpkxBRpGtcC1LxYoiQ59apecRew14fASwsgGqlL7Jn66VagcMANzcqEqbX05r9Yg9JhkPY+YoNVX01KEAxfD5JgotvFZUcKLFjh1KiKVkf0dHww2NGTEh9uTJk/j111/RoEGDZy4bM2YMZlGXOjUKQjQyMzOlwMTf3x9HjhzBo0ePMGrUKNjZ2WHOnDmwZDExxfTQ0GwfDuwNOMmk5jLNnlDTMFraoQRdxpjOPvoImDbNgMs66fFA5D7zyTchtNRNX9xo91HyI8A5sES/Rjt1oqMBOzuDj5AZeuYkISEBw4cPx2+//YYyFN7nQ8EIBR+agzsV6lDbsWMHrly5ghUrVqBRo0bo1asXZs+ejZ9++glpBl1glX+DrwoVgBkzKIArpB7BnaUmS4TN748/gP79gUibruIMLsbGmF7Rqq2mdYTehe8U7yn0ge5eA2bBxgFwq6Z13gm1BeHAxEyCk/Hjx0uzH127qj+Y8lm5ciW8vb1Rr149TJs2DUlJSdmXHT16FPXr14efn1/2eT169EBcXBwuF7g9haY4U6XLcx/MzZ9/UtAnOgDTi+UZD7cCKZGAo58s+l9QcLJpE7DpaAfxbSUhBEi4a+phMca0yTcxlyWd/Emxpdyxw9kFCg5OVq9ejTNnzmDu3LkFXj5s2DBpVmTv3r1SYLJ8+XKMGDEi+/Lw8PA8gQnRnKbLCkL35eHhkX2oQFMMZmb2bJFnUmASbO5E2MqjxJ5+Exs3TiSQdezqDni1EGfyrh3GdEbvAe3aGbBsvSorJ9/EXJZ0dEyKpY+eTp1E/7ACZ66ZvHNOwsLCMGHCBOzcuROOhWQPjR07Nvs4zZAEBAQgODgYISEhqFrK1poU5EyaNCn7NM2cmFuAQlO4tEOnQLR+SjMnMlnSIcOH5zqR3FVUraWlHSM0IWTM3MvWHz4slk0NIvo0kBIB2LoBPu1hVkoZnHh7A+fOAbGx4qdBE5GZ/mdOTp8+jcjISDRp0gS2trbSYf/+/ViwYIF0nJJd82uprgt869Yt6SfloEREROS5juY0XVYQBwcHKW8l98FcbNkiMvOLJDX5ywS82wAehqxlXUq5651okSXPGHsWTUpTv5fnnjNw4bWAHoCNPcwzOLms1XsR7UJctUqUSKBtxUxhMyc0A3Lx4sU857366quoVasWpk6dCpsCkiXOURhKr4MAsbukdevW+OKLL6Qgh7YRE5qJoYCjTh3Dd9eVk2PHgL59gZo1gVOn8vWu0aAXWIimyZ+8ZiUoFqXH8CSyFZ6zcRI5MbRzx7O+qYfGmGJR5286GEz2ko6Z5ZsQt5o0Dw2kRQOpUYCj+IwpCarKzRQanLi5uUlJrrm5uLjAy8tLOp+Wbv7880/07t1bOu/ChQuYOHEiOnTokL3luHv37lIQMnLkSMyfP1/KM5k+fbqUZEszJJa2dZgmi1q3LiQw0TTmir8hGutVfBFysnOneEGXL++Afks7wCp8u1ja4eCEMXlKeiiWdegDPMAMP41tnQDXKiJBn5Z2tAhOmBlXiLW3t8euXbukAIRmUyZPnoxBgwbhX2rIokazK5s3b5Z+0iwKJctSnZPcdVEsRc+ewLVrwDffFHGl2+pE2IpDADuqfCYfHTsC5cqJIkapZTR9djgplrHS2r0bWLsWePjQQHegyV2jJHYqomiOdOixQ1+4Jk4UeSdM4V2J9+1TF/IB1emoIOWgFCcoKAhbt6pfJBbumY7DuaXHAffWiuNV5ZEIm5uTk2hSKFXRjw4GrkIUdqL6CTLYUcSY0vzwA/DPP8C33wK5Cm/rz0MzavRXVHDy4N9SBSe//ip2TVKCbKNGBhkdKyHurWMCH34IHDhQgitSYJKZBLjXFMmwMpTd3qdMI8C+LJCRADw5aeJRMaZMtPrdrJmoWqoLlUqFmJSYPKfbLGqFkac3IzzDDOub6KEBIHnxReCNN4C2bfU/LKYdDk6MjLoNf/klJRcD9+8Xc+XsJn+jTdLkTxuPn1gjw7uLOMFLO4yVCq1unzwp8tBKKy0zDa9veh1t/2iL2JRY6by7MXdx9P5xrInLhLuLv/gyAWDjtY346vBXuBpF055mQodlnSFDgF9+ETVPmGlxcGJkLVpQLRhgwgRR8KdQ9MJ6ckxUX608EnI2ejQV0gNO39dsKd5l6iExZrGik6OxLWQbrj2+hn13xbK7v6s/trd4Dgt8AOcKz2V/2fnj7B/4YNcH2HozZ5k9OT0ZO0J2IC5VoZW43dXlFqiWS+oTU4+GmSrnhGmnbFmxrlnsFnzN9mFaG3YquP6LXNAu8awsYO/VrmhZl6ZRjgIZiWKHEWOsRBITqS+Z7pOkFIhsGroJkYmR6FVd7MhxsnVE97QLADUWDczJN+lTvQ+srazRuXLn7POO3T+GHit6IMgjCHffy2lJkZiWCBd7Bbym7VwBlyAg8R4QexXwbaf1Tdy7Bzx9ynknpsQzJyZS5BtQZpoovKZZ0pG58eOB0FDgw8+rAs4VRUJs5CFTD4sxRRk8WAT6uTY3ltiu27twJOxI9ummgU2zAxNJ3FUg8S5g7QD4q5dfAbzR7A1sHLoRTQJyKo/FpsaismdltK6Qd22p9aLWqLagGk4/pK3I5pt3snIlUKmSmN1mpsPBiZFQJE5t0PfsKWFGvVRAyB8IlH8tAnpDlboJUMTlz0s7jJUGbV+lYtnq2pQltv3WdvRc0RPPr34eobGhRVeF9etS7Izm87Wex+0Jt7Gk/5Ls8+JT43El6gpCnoagvHvOevTay2vx/bHvYU55J5SMrKknSjPCzDR4WcdIaP88laU+dAjokvPFpeglnSovA9YKe4r8uwK3F3NSLGNaunkTOH9e+6WEdhXboYFfA9T1rQtfF9+igxMtthA72OYUxXRzcMOTD57g9KPT8HP1y94BRLkqS88vRaBbIF6s+6JZBCfUAo6WdNzkVVbK4ijsk0+5atQARo0qQUOppAfAo/9k1eSvJKho1MyZwNNHXfDXMABPzwEpjwFHb1MPjTFFoHyTku7SSc9Mh52NqCVEeSB7Xt4DDwcPWBW0XpwaDTw+rHPJeg9HD3SpnPPNiu6rrFNZ1PCqgfp+MqsKrUNwQv+FHJiYHi/rGEmHDqIF+rvvFnPFO0tFS3OfdoB7DSjpjXXJEmD9Fn+kOVFWrAqI3GvqYTFmdu48vYMm/9cEf178M/s8T0fPggMT8mi7eE/xqCcSRfXoq25f4cTrJ1DLW2YNSd1ri5/JD4A0sZ26NLiPqelwcCInMm7yVxxPT+Drr0UdF+tALmXPmDY++wyYM0dUXC7OsvPLcCnyEqbvmY7UjOJampduSaekbKxtpBkVjZDoEGlWx+TsPQCncjnJwFpKSQFeeEHk08XH6394rHgcnBjBnTtAZGQJrhh5QDSssnWVXZO/kqDs9h49ANtyXcUZHJwwVqLvJN9/D3z8ccneJ6Z3mI4P2nyAA68eyJMXUqCsjJxlYgOXrN9yYwsa/9oYk3dMhtKXdhwdgbNnRYLywYP6HxorHgcnRkBvOlSkbMGCYq54Wz1rEjRU2TVC/DqK4nEJt0StAcZYodLTgenTgWHDgPoFpG5kqbKw5tIaKQFVM1vxZbcv8+yaKRTVHEp7KlpLeLWCIWVkZSA+LR7nI84jJSMFSg5OCL1fHzkCdOum32GxkuGEWCOIjhY/GzYs4kq0Lhq6TpFLOrndvg1s2uSO18o3h3vaMTF7IsOmhYzJhb09MGlSwZdRQDJyw0gpv4Qqvs7sNFO7G3+4RfykkgTW6v2xBtK/Vn9sGbYF3ap0y07WVXJw0seM2w8pAc+cGAHlYTx+DLQpqnffvdVAZrJI5PLSseuXCdH0NLUc33+dl3YY0xUluXau1Bl21nao5FlJ+xvQ5JvkqgprSL2r984TmGRmZUKJhdiY6XFwYiReXoCdXQmWdKrKv8lfUfr3F00NbcppirHt5pR3xoopvhaXr42NZgmHvN7kdVx/+zpebvSydjecHA7EXqYQBwjsAWOi8f9w/Ad0WtrJdEs8HuodO7S0nJ5Qqps4cwaYPRs4rN6JzYyHgxM5iLkEPDkBWNnKvslfcajA3K5dQO+RrQEbJ9F8S3qDZIzlRxVIO3YUu92uqjeVbLi6Ad1XdM/zoV65TGXtbzxK/YnqWR+wL6OvIZfsrpOiMHPfTBwKPYQVF1bAJBy8AEdRMA5x10p1E7//DnzyCbB2rX6HxorHwYkB0ZefZs2AESNE1nehQhaJn+X6AY5a1q6WKxsHwKe9OM5LO4wViHbnUGBCu0OqVwdiU2Ix5t8xUq8cmnnQyWN1rx3votaTDYMq1a55YQ2+7vY1Rjcerei8E9pS3F79VsaMh4MTA7p2DTh9Gli/HvDIKQXwbJO/u8sVnwibX2oqcDc119IOY+wZ/v6i7xZVWLa1FVVY1764Fu+0eAcTW0/U7cY1Myc+bWEK3ap2w+Q2kwsvDqeAvBMKTtatEwEKMy4OTgyocmVg927gxx/FN6MCPdgEpD4BnAKBAOOuCxsKrZ/7+ACD3tIEJ/tEvQXG2DMeJz1GRMb17NNUIn5BrwWw1aWvVkYy8PSMSYOT/NuMP979Me7G3FXUzAkzHQ5ODIgCEsrBGD26BEs6lRXY5K8Q7u5AzZpAeGojpFuXBTLigScnTT0sxmSXb3Lu/jW0/L0leq7sicjEklRqLKHok0BWOuAUALiUYpePnr2/433MOTQHA9YMkAIVpQUnsbHAxYv6GRIrGQ5OTCkxTPS9IGZWC2TzZiDsvg3synUWZ/DSDmPPlBjo3EWF+Bg7WMEKMSkx+rtxzZKOd1tZ7P6b3HoyqpapihkdZug2I1Ta4CThtphNKoW9e4GyZYHBg/U7NFY0Dk4MWLKees1QCeTCr7RUNMjz7Qi4VYM5oYq41vTX5a/ps7PL1ENiTFb+/BOIuVkbQ+JO4MSYE1J3X70xcb5JfhU8KuDq+KsYWHugce/YwUfs2qH32ficpTNtNGokfmZmAgml25HMSoGDEwP57z9gyhRxKBB1CdU0+atiXrMmefh1zSmjnZFk6tEwJgvRydFSF2/aovrBBHd4O3vr78bpvUWzU0cmwQnJXZwtLjUOx+8fN/yd0qyRu25LO2XKiITlGzcAV1f9Do8VjoMTA6lYEejbVxwKFLkfSLwD2LoBFc0zFXzjRqBxx2p4mloByEoDog6ZekiMmdzGaxtR5fsq2HLrH7z4IlChgp7vgGp6UD8dG2egjPprv4w8jH+IVr+3kmq5XH9cutkMY+ed0EwwMy4OTgyEgpJ//wXeey/v+VTO+VH8o5xE2EovAbbOMNuEv3NW2HOFl3YY0/jt9CLEpsZi7929hrkDzZKOVwvAWgY9bvKhWSIvZy+42rsiIc0I6yS8Y0eRODgxslWXVqHqgqqYc3aNOKOK+dQ2yY+6eS5bBnQbyX12GNOodf5vVLi4AL1svjLMHcgs3yQ/ext7/PXiXzg15hSaBjY1XnCiQ48dKqg5frwolEd1aZjhcXBiAA8eAEmFpFf8d+s/JGckw1qVAXjUA7yaw1y5uQEjRwLu1buIM56eFTVdGLNQGRnAqhV2CFv/DtJT7SwyOCF+rn4IcAvIPh2fGm+4O9PknMTfAjJTS526QgU1b90Su3eY4XFwYgATJogkqqW0GSefFQNWYEvNanjHU7192MoKFyMu4qcTPyGNqsWaI6q1IH17UQER/MpmlmfB8QXSwcZGhQsXgO++A3r3NsAdJUcACbfEce/WUALqv1P9h+pYd3md4d5/7DwAVSYQf7PUN0M9dmipfqCRNxxZKg5ODCAkBEhLA2rk2hnYfXl3TPhvAiIf7kXvrFtwsbUDKokmf9N2T8Pb/72Nydsnw9zQdOiqVcD2c7y0wyzT5cjLmLR9EiZsm4DtIdvh7S2+wEhb7fWNdsURj7qAPX0Dkr9/r/+LiMQIfHf8uzzdmPWGpj30kHdCwSTlElKRSWZ45lGSVGaozfbt22LHDrkSdQU7b+/Evrv7MMtTPa1Yrj/g6C29GHtX743zEefxbst3s28jPTNdKlZk0r4UekDDnzULqO4cjB6TF3AxNmZx6vjUwTfdv8HZR+fRo6qBW1Q8lv+STn5fBH+Bsk5l8XaLtw33fkfBCQVunBSrGDxzYgD0+qpaFbBTLylXKVMFm4Zuwrwun8Pjwbo8FWHpxfhW87dwZ8IdVPeqnn0bs/bPQvvF7XHiwQko3ZtvAo17dISK/txoWjUx1NRDYsxo6DX+bssJuPnNIowYYYVQQ/75564MqxD0JWxqu6lwsXeRbQNADfrS+fPPwC7eeGhwHJwYgaOtI/rV7IdJ5SsBadGAc3nAv3ue6+Qu6ZySkYJfTv+Cw2GHpZoASkdT2J/N8YAVbW0kvLTDLMCGqxuy+8hQnsmRw1ZSh/JCm4DqKjMFiD6tuJmT/FZdXIWpO6fKcjsx7T6kXTuL1JUgmOFwcKLnuh4dOogP45iC2mTcXiJ+Vn4FsLYpMpg598Y5zOkyB/1r9s8+/9j9YwiJDoFiaUrZ89IOM3PLzi/DwLUDpVwzClAaNhS7Pehbt6+vge70ySlR7NDRD3CtAiWiJfDhfw/H/CPzse3WNv0HJ/E3RENEHcojUDPXtsqN/RSDc070iLpWHjwock6orw6hDPSopCgMqtEPfpH7xJlBxXeQKudeDtPaT8s+TW9wr2x8BSFPQ7BhyAb0rVFY6Vl5ojy3kMRgVMMXYuaEzlB4Pg1jhXGzd5OKjHUI6pA9K9qkiTgYJd9Eoa8tys+Z2XGmNHvcrUo3/d2wcwXA1hXISADiQwCPWqW6GQpKdvN3K6Pg4ESPKlcG1q0DwsNz8k2+Pvq1lDdilXAH4zKTAQdvkUmvpafJT6XclcdJj6U3PKVZswZ4ZVRrxPzmCEeEi+lVT+3/HxhTggG1B+CC/wUEeQZJM6oG2ZljBvkmBfmk4yf6T4yVeuzUBqJPiryTUgYnzHh4WUePaIvZCy8Ab78tTtNOnBfrvIhW5VvheTd1HOjbAbDS/r/dx8UHW4dvxaW3LsHdIWcv29h/x+LLQ18iKV3eTfW6dgXsHBxx9Ul7cQYv7TAzk6XKylOOvXKZyngabS0lx8+eDaSXfjWheDQTKcNmf6WROzCh99AfT/yonyJteixjT88lNQJkhsPBiYFfZO+3eR9HRx9FQNwZcaZvR51u09/VP/v4+fDz+O3Mb1KdFLnnolBthydPgMY9uc8OM0+f7fsMLX5rgWuPr2WfR52H794FNmwAbA05Tx13XVRftnEEyjSGuXhv23t45793MPivwbrXQNFTcHL1qiiy2aaNyDNkhsHLOnpy5w6wbx/QuTNQqVK+CykBS7Me7NtJb/dZz7celj2/TEoiq+9XH3Jnb091q4NzujLTToZcu5QYUyr6Zv/HuT9wP+4+Tj44iVreYtng3XeBcuXEh5lB00A07y+0I86GXmjmYXiD4VhyfgmG1B2i+1KPnoKTatXETxrO/fs59ayYfvEng5788w8wcSLQqxewdSvwJOmJVFhNSoiLPgNkJAL2ZQHPenq7TxtrG4xsKKrMakQlRuHX07/i4/Yfy7OAW5nGUNmVgVX6UyD6FODdytQjYkxnbg5uUiO7dVfW5XlNUu7Z0KFGGICZ5Jvk16JcC6kGFBVp018DwGtAVmaROyaLQs/ppUsiKDFKLpGF4v9aPfHxEdN8tNWM0JtU8LJg9PmzD6DZpePbvlT5JiVFvXna/NEGM/bOwFdHDNTxVEevjrbBxqOdxQmud8LMCDWzoyqnhFYgDFGJvVDZ+SZtYG5yBybJ6cnYfbuU7xvOQYCNE5CVCiTe0WlMNDvOgYlh8X+vngwfDhw+LGZPCG2F83LyQpdKXYCI/Xpf0imsFfkHbT5ADa8ast1q7OAA7LzIeSdM+SgHYuK2iThw78Azl23fDrRsCWzcaISBpDwWOSfE2/yCk9xLZ/SFr+fKntgZslP7G6CZEnf1Lh0uYy97HJwYyHut3kP4++F4p/k4IOqQXpJhS2JM0zFSATeqFyBH778PTP6qa863vQx57zJirDArLqyQmtX1WNED4QnheS774Qfg5EngwLNxi+FmTWirrIMelj9kisrbV/KsJNWPcbB1MPmOnTlzRABKxfWY/nHOiR7QLhRKeMs/zUfFl2wTbgAZ8aJlt2cDo4zHyc4p+/it6FsIdAuEs50z5EBKJlNVB+6WB5Lui7XyAD0WW2LMSAbWHohtIdvQLKBZnl10ZPFiUQ321VeNmG+i8C3ExbG2ssbi/osRFheGamXVWakmDE6OHQNOnBBF2Zo21fnmWD48c6IH9AZEW2Vpu6CmYFq27HyTDqVOwCqtrTe3oun/NcWbm980TCvy0qJEXc2uHV7aYQr+Jr9iwAppljQ/KlH/6adAUJARBqLATsSlRTMmuQOTR/GPEJNSUK8QwzYAJFTPaulSYMQInW+KFYCDEx3RZ/65c8DTpyJ7Oy41DgHfBKD1otaITYnNlW9i+CWd/Gi2JDEtEXdi7siqSFtYGLByt3pph4uxMQVJz0zH9lvbs0/TjjiT7orLTBU9dcxwp05xqIRCq0WtMGDNAKRmpGo5c3IVUOlWpKR7d2DUKCAwUKebYYXg4ERH9L5EbbRpiq9RI+BI2BGkZqZKsyfudi5A1EGTBSedKnXCzpE7sXvUbsO2I9cSFS6a8k0X6biKtlmnRpt6SIyVyAc7P5ASMmfsmVHg5Z98Ij6wqFCXUVAXYtp94uADuJVyqUPBgSK9z1LndmrrUSLUENHaHshMAhJDDT1EpgPOOdEDqvxIiVGkZ7WeeDDpAUJjQ2EVewFIjwVs3YAyjUwyts6V1dt2c5XYprVbU6Kp7tfGByLOqjbcVVeBiL1AxUEmHRNjxaGlUcrnsoIVmgU2e+by5GSRCEsdyQcNAmrXNnK+iRzrGhlQQ/+G2DZim7Q70dvZu2S/REUf3WsCMRdF3olr/oqZ2omKEjkn1Lqkd2+dborlwzMnBkAJqNRPR6qCqqlvYuJKqJoeFZ2WdCr5FKgBff454F6dl3aYctDyzZzgObj81mX0r9X/mcudnIAdO0RV2H79jDQoC8o3KUibCm3yBCZ58v0KQ7ua9JR3snYt8NJLwDff6HxTLB8OTnSQkSGi5c8+AxITC7hCdnBi/CWd/CITI6XibAdDD0pbIGXBX5MUy8EJky8q/JU7oby2T+FTIs2bA99/b6QCXTSmqCMWmW9SkG23tqHy95Wx6fomo+3Y6dJFLOe34kLXesfBiQ7OngX++w/47jvA0RF4e+vbePWfV3E58rJItoo8IJvghKpX/jnwT3zT/Ru81vg1yMGjzI7IUlkD8TeAxDBTD4exZ9Ay6JC/hmDQ2kFSsrusxN8EUqMAawegbBNYuo3XNiI2NRaLzi4qeneiHoMTWrqjz4EvvtD5plg+nHOiY+7EL78A8fFAhioVy84vQ3xaPMY2GSvWNNOeArausnnj6FW9l3SQiykfe+LtGs3RqtpxsbRT5RVTD4mxPPbe2YvNNzZL1Zep83fjgII7/g4cKGpd0PZSDw8jDU5TfM2rGWBTyqJkZuSHXj9I+SfUQqDIHVTuuYITCmIsLFdHKXjmRAdUy+CNN0TVUyq49u9L/+LDth+iZfmWOUs6tBZsbQe5ycjKwOz9s6VGgaZC6/JXo3lph8lXcJVgnH/zPNa+uLbQwOToUVHjaNYsICXFiIMz02Z/pWVnY4dJrSdJgaRGJjX4y8+tOmBlI4pjJj/Qy31TjBPKm3/0ioMTPXYI7lipI+Z2nSt2w8go36Qg4zaPwyf7PsHQ9UNNVqBtyBDg1Q9zFWOTU6E4xtTq+9XHczWfK/RymjFZvlwUXfPzM+LALKQybGktOL4AnZZ2knKG8qDghQIUPS3tPH4MlCsnql8nyaeclOJxcFJKd+4A//wjiq89Q8o3MU6zv9KiqpZUcvutZm+ZtogUdVG1cQRSwoE4YxWHYKxoT5KelLh2hr29qBI6bRqMh2oDaV4vZtzsT5cNAJ/u+xSHQg8VvAFAj3knXl6inAQlQV/hfoJ6w8FJKa1bBzz/vChdf/z+cXx56EtpTTr7Dz71CWDjLNaDZaiub13cfvc2BtUxcX0RG0eovNuJ47y0w2Ri5r6ZqLqgKpafXw5Zym72VxNwLGGNDwvi6+KLf4b+g3nB8/B6k9eLzjvREX23oy3kVN+mmTzf7hWJg5NScnUFatYEOnUCFp9bjA93f4j5h+eLC7PzTdrIMt+koAaB1I48O7gyokePgNm/iaWdjAfcZ4fJIx/rxIMT0u6cCh4VCr1edDQQHAysXy+qHhsV55sUq31Qe0xtN7XgmWHNzIkeap2QWrXEjk2mPxyclNJbbwHXromCSx2DOqJblW4YXHewuDBin6yXdPK7/fS21KOCynJr1URLD/z9gVP3u+Y0SczKMOr9M5YfJbcfe/2Y1PqBWkAU5tdfgT17gNmzTbDhg/NNtA4439ryFtZeXvvssg7nuskSbyXWEa0zvlT/JemQUxhJPvVNSsLdwV1qEJielY6w2DB4Onoa7b7pTf3bJY2hOusJ2/QY0SvEW90LgDEToaT2rlXUQXMhaEmXEiCpCJdRg5PMNCD6pDjOwUmJLD67GAtPLcSSc0ukL5N+bjUA2rhA5R5SIgAnf93vY7GoGDt5MtC16D8dVgI8c1IKRWZkx10DUiJFkqdXcygBlX/ePGwzTo89Le1MMLaq1Wxg5afuARS+0+j3z5gGdRymwmslnfWjWRPqo2NUT88AmSmAgzdAH7KsWFR4clj9YVg5cKVUkBK2ToBLFXFhtLqrs44OHwa2bQO25zStZjrg4KQUqOBS1arAjp1ZUoGmPFvVaGmCeLdWVGGker71pN07RdYHMKTAntIP1cOtxr1fxtR2huyUljZbL2pt/L//UuWbtOECYlqUeqDAZEDtAc+85+DuKr3cx8iRwP/+B4werZebs3gcnGgpMxM4dgy4fRuItDuJfqv6SVn92W9mEfLeQlwStP2u7s91cfPJTaPd57bz6sq1UceAlBK2P2dMj8ITwuHh4IE25dtIH2aFoS60tKRz6RJMg/NNdBabEot3wyKRQJNk9zcA6bq3JujYEZg4USTHMhMHJ/PmzZMyod97773s81JSUjB+/Hh4eXnB1dUVgwYNQkRERJ7fCw0NRZ8+feDs7AxfX19MmTIFGdRFTwFsbICwMNFTx80/EhXcK0jF16Q3M8o3kXnxteJQQTZqEHj9yXVM3zvdaPcb+qQCLoTWh5WVCgjfYbT7ZUxjZMORCHk3BJ90/KTI682fDyxZAvz2G4yP3mM0nYi5vkmpUa+kHy6sxWvRbkBmMhD6l6mHxPQVnJw8eRK//vorGjRokOf8iRMn4t9//8W6deuwf/9+PHz4EANpHUQtMzNTCkzS0tJw5MgRLF26FEuWLMEnnxT9hiAnbm5Az55A/1r9cO+9e/i17685jbiomBg14lJoUicFm9QgkIqz/fHcH0a73759gQy/PuLEgy1Gu1/GcvNy9kIZpzJFXoe6kL/4IpDrO5nxJNwWOW3W9rKtoaQEc4LnoGqZqpjWRN3P684yvVTKpnzEnTuBzZt1H6PFU5VCfHy8qnr16qqdO3eqOnbsqJowYYJ0fkxMjMrOzk61bt267OtevXqVnnHV0aNHpdNbt25VWVtbq8LDw7Ovs3DhQpW7u7sqNTW1wPtLSUlRxcbGZh/CwsKk26TjsnLzV5VqJVSqnR1NPRJlijgg/v/WlVWpMjNMPRpmITZf36y6EH5BpQghS8VrZHtrU49E8dIy0lSqhFCVaqWV9H/6/uYxqkFrBun0t7B2LUU4KlW9enodqlmhz+2SfH6XauaElm1o9qNrvv1Sp0+fRnp6ep7za9WqhYoVK+IodceSmmQdRf369eGXqwlFjx49EBcXh8uXLxd4f3PnzoWHh0f2oUKFwgsjGVJaGjB0KPDjj0BkXAH1QCKUvaRTmNWXVmP3bSNUb6UkYjtPIC0aeHLc8PfHLB4VH3xt02to+EtD4/yN60qzpMP5JnppFAiXCoBfFyRlAb+eW4b1V9fjQXzpmwFSUc6KFUWlWMpPZEasc7J69WqcOXNGWtbJLzw8HPb29vD0zFsngwIRukxzndyBieZyzWUFmTZtGiZNmpR9mgIZUwQo9JDXrBEJcT9btZGWQFYNWoUGfg3MIt+kIFS06KX1L8HLyQsXxl1AoFugwe4rLcMWkVk9UB5rpF07VlRhlzEDSkxPlAqtnQs/hw5BHYq8Lu3EoC8o1Im8TNErP4bDlWH1r/IoOEfsxtFqvvjTewR6VO2RfdGGqxukSsFUxyp3t+PC+PgA9+4ZeLwWQqvgJCwsDBMmTMDOnTvhaMRavQ4ODtLB1Cge+uIL4GlmGL6PviWdF+QRJC5MCBHtt2kt2LsVzEW/Gv3QNKCpVAHXz8WwLVepBPin/9cbv49eg5SQrXBq+LlB748x2j6/5oU10gyK9E26EImJwOefi0afNWqIcgJGRwXDYtWzyxy460+FgcCpt1A3IwxfNOiXvT2bdmBO3TUVN6NvSkHsW83fMvVILYpWyzq0bBMZGYkmTZrA1tZWOlDS64IFC6TjNANCia4x1AEpF9qt408Vi6TCRf7P7N7RnNZcR65ouu6jj4CvZlRA5JRIbB2+FR6OHuJCzayJVwvA1hnmgvrvHHrtEOZ2nVvk9kp9oHi3TJ2eyFJZwSnlLJD00KD3x5iGm4NbkZfb2QHffgs89xzQvz9MI0osjcOtOuDoa6JBmCE7V6CCupLenWV5St5T08C6PnUxquGo7PNvRd/Co/hHxd7skyeGGa6l0Co4CQ4OxsWLF3Hu3LnsQ7NmzTB8+PDs43Z2dthN6x5q169fl7YOt27dWjpNP+k2KMjRoJkYd3d31Kmj7negAFTiPU95azPNNyGOtnlnyajUvaF89YMvrL3VlXUf/Wew+2GWjZpcztgzQ5qyLwl7e+Dll4F//hHlBEyC800Mp7I6+Li3WlTfpRl7Wwd80PYDXBx3Ea72rtlXnbh9Iip9X6nQjtXp6UDDhoC3N/CQv18ZZ1nHzc0N9erVy3Oei4uLVNNEc/7o0aOl/JCyZctKAcc777wjBSStWomlju7du0tByMiRIzF//nwpz2T69OlSkq0clm4KQ+uIVN+kRQvxRpWHlG+irgzrp9zia8W5H3cfb299G1FJUTj06qGCu33qQ2Af4MkJsaW4KpdbZPpHtXxWXVqFG9E3pGUdReB8E8OhopnO5YGk+8CDzUDFF7Ivyv0+l5KRIjVHTc9MR8vyOeUi6LRmWZBm2ehATp8GAg2XpmfW9F4h9ttvv0Xfvn2l4msdOnSQlmr+/vvv7MttbGywefNm6ScFLSNGjMCoUaMwa9YsyNmyZUD79kDrCT9KBXz23NmTc2HiXSApDLCyFTtOzJQVrLDr9i4cv38cZx6dMdwdBfaWfmQ93CmanDGmZy/WeRG1vWtjWrtpxV73nXeAjRtNvPsiK10E7IRnTvSPlqwrjXxmaaegWeSDrx7ElfFXUMMrp6/RR7s/Qrs/2knVtTVNAKOigH79oBgqlQoJaQlISi+qeZzxWNF+YigM7dahLcWxsbHS7IwxUDLcDz8ATu+2xL2ME/i5988Y13ycuPD2EuDYqyIw6X4E5ox271Afnjo+hluC+2RGFt4KCIS/ZwTQZTfg38Vg98UsFzX4o+7DGpQqd+CAmJbXNPOj2dJ27YBHj8TsaUCAiQb7+ASwoyVgXxYYFCU66jL9ir0KbKkjvmQOeFDivJ60zDSU+185PE56jM0vbUafGupikjKQlJ6EyMRIqS2DprggzYB/d+w76cvmV92/yr7uwDUDseHaBvzW7ze82vB1gy1flvTzm//CS2j6dNrqDKwd+Qs+bv9x3gZSZriFuDCD6w42aGBCmrewxvaL6l47D7laLCu96GjRxv7PP5+dDalezRrr1uWcR/2yKNmVLsu9Q69NG5FvYrLAhGSXrG/NgYmheNQGyjYHVBlaNQOkLcYX3ryAr7p9hd7VxawvWXd5HV7951WceHAip01HbCim7pyKrw7nBAVk/ZX1mH94Pi5GXMw+Lzo5Gr+d/g2rLuYdC81c0xbn209vZ593N+YuXtn4CsZsGpPnukP/GorK31fGuis5f+g0O/LN0W/w25m8/RfKOIrghYKs4GDxWrh+HSbDf+VaoKXHFhUb4/Mun+fp4IuIfYpv9lcalLEeFhum99vt3h14cYL6Rc5dilkJjRsHlCsHrMr1Xk6zHUOGAJMni5mSYeuHSW/sUY9VUjBy/37OdSn4aN4caJmv88S0acB338G0otQzsrykY5zE2CKWdgoS4BaA99u8n52fQn9rH2z7BEvOLcHsH+9kX+9B3APMPzIfv55WtzxRW3xusbRt+eTDnPphYbFhGLt5LCbtyKnxRSiwGLh2ILbezHlvTM1IxdLzS/MEIcTH2UdaiqJcGQ2qVTW59WR81P6jPCX7v+nxDRKmJWBq2w/x+uuiFL+RFib0U4TNEtFac6FTXImhIufEysaiag9QpP/KP6+gS+Uu+GfoP3q9bSkvukp34KwNEHdN9BNxraLX+2DmJy5O7I7IvUOCkhEpV4yClnWX/5KSYDff2Iwtk+/g3Xe8UL163uDkRM6X3Gz52oeZttkfByeGFTQUODsJeHoGiLkEeObdAFJS9KE/xH8mvvy/Wzj4sD7SPhMbKehLLQUGZZ3K5rl+cOVgqa9T9bLV82xvf67mc9LO0NxqetVEmwpt8hTELOdeDnOD58LXxVe6b02Q9EvfX/D7c7/nSep1d3DH192/fmbMue9nxAhxMCXOOSmBbt2AqKQINHxjASZ0G4QmAU1yLryzHDg6StQ36WE5JdevRl1Fg18aSP8Xu0buKrZORKns6iSWzJr+ANR8W/+3zxSPCvdZq+d/r14V3/aqVCm4gittG/76yNfSmzN9y1WMhDvApiqAtR3wQixg62TqEZm3AwOA+xuB2lOAxvN1+lJL6QCDBwONGmXXdrN4cZxzoh+pqcChQ8D51I1YdmcO3tz8Zt4rWOiSTm2f2jjy2hEcHX3UIIEJfQtetkss7WTe56Ud9iz6WlW3riiMRomrtWsDTZsWXlqegpJZnWcpKzDJvYW4TBMOTIy5tHN3BZBV+i1aNNs+dy7QuLFyApNTp6hFDZCcbOqRcHBSoiWGmzeB6W/VwKDagzCiQb65LgtKhs2vebnmeXY76JObG7BkpzrrPWIvkCGP7W1MPqhP6LVrwK5douBVYRQ4OVxwcMJLOsZBpQxoV1TyIyBCAc0g9YiqIL/0kqiEbmocnJRA+fLA7Nc646/Bf+Hdlu/mXJD0QPTUoQ9o33awVNSDgrLKIxLytiXQBX3TmDizDlJtK8IGKSJAYSwXmjU5fx744w/AqYgJhc8PfI7B6wbj5pObUCTONzEuGwcg6KVSJcYW5M4dYMYMYMkSyF69ekBQEDB8uKlHwsGJbjSzJjTdamfCtGYTG71ptJRV/vGej/V6u/2es4JDZfXsCW8pZgUEsJSsOnRo4dehVgu0u4F2MRi0cKChpMWIxEzClWGNv7QT9jeQXrIWB4XZvl3UyfrmG7EUKWfTpokt9bQ8amocnBQhJUW0R//o9914nPD02Stk55tY3pJObmObjpX2yDfyb2SwarHSlmK5v7KZ7LjYu+DAqwfwXsv38GLdF6E4j4/RwhTgWhVwMmxXcJaLV3PAvSaQmQyErtfppmgre9++IjlWCW9h1tbyyJHh4KQIR48C/7c0DnNDeyPgW1+pgE4eFpxvkhttawudGIq3W+h/R83FqM5Iz3IAEu8BsVf0fvtMmTZvBqZOBc6UYDKkgV8DfNvzW4PlRxkU55uYBn06l7LmSX6UoP3vvyJI0ewsk5v798VrSU7Bk0z/q+SB6h6MevcefKyro1rZaqjgXiHnQkqWir8hdZyBb3tYutxdO/Xpn80u2HWxszjBBdlYrl5X8+eLnjeFkUuPEJ1wvonpVKLND1aiqSt9OTJjP/8slnJyV0c2NQ5OilCrFrB0fn1EfnpJ2jKbpwtvhCbfpBFgn7dIjiU7++gsXlj7AuJT4/Vye9Q4K9yaq8WyvIYNE4fnny/877D8/8rjy0NfKne3DjX7e6yuneRtOQUeZcOlIuDXOaeelY4SE4Hly4GDByE7ycliZ2pn9cOVAw5OSih/lT5e0il4186Qv4Zg/dX1mHdonl5us2FD4NWP1UmxUYeAtFi93C5TNgpKVq4EmuSqh5jborOL8DTlKc5HnM/7pUJJnp4HMpMAO0/Aw7D9rFghci/t6BjkfvEFMGoU8FXetjqy2UL86JG8uihzcFIIKup0/HwssrIK+YPk4OQZNtY2UlnkofWG4s1m+YrV6YJK11NyGjXkCt+pv9tlZmtBrwVYPmC51AdLsR6r++lwsz/TqTAQsHEG4m8CT3SrAD5yJFC1qmgkKUdlyogS+3LBf/GF+L//A1rNHgf3mUH451q+3jHJEUDcVXW+SQdTDVGWqBfEqkGrUMEjV36OHiSX5S3FTKBOwlFRRV+Hkl+pYGKVMgruycTJsKZn5wZUGKSXxFiqYEwFPT/8ELKRmAg8fgxZ4uCkEAmJWUCl/Ui0DYOfa74tfFEHxE/P+oBD3gZOLK/0zHSdbyMmBug/TlPK/j9AlaWHkTElohbu1KukYsWCS2xTJ1fqCKt4tITAwYk8VFEv7dxbDWSm6nRTclthXLFCNMf84APIDgcnhfj2f9Z4+ukt/DXwX7Qo1yLvhZpkWF7SKVRCWgKm7pyKZr810zlA8fQE4h3bIzHVFTZpEcDTs3obJ1MW+pZHvUo6dHi2Kiz9nXVZ1gVN/68pbjyhnXQKlhQKJD8ArGxFU1FmOr6dAadyQNpT4MFmvcSdx44BISEwuRMngPR0wE+GJXQ4OCmCp6sTBtXv+2x9BE2+iZ9lNfvTRkZWBhafW4wLERfwz/V8y2KlsGuPPVyqdhMnHvDSjqVq21bUY9i06dnLLkZeRGRiJB7GP8zTTl6Rspv9NQZsnU09GstmbQNUHqG3cvYTJwKtWwPffw+TW7RItIB45RXIDgcnBSgyKTvlMRCrLiftw/kmRe1uWthnIf596V+pYaKuXFzyVYtlFo22PebXJKAJbr97G+sHrzdY3R2j4SUdee7aofeelGISnorRs6eY9ZNLQbYGDQAvL8iOTP575KXFkD3wntgNc7esfPZCTb6JR13AsYhWqAyD6gxC3xp99beVUx2cqJ6c0PkNgilPbCyQVUw6iZezF9pVNIMmnBycyAtt5S7bTOwYvLdKp5vq1g0IDwe++w4mk5UFZGZC1jg4KSB7+UzqWjzx3IULsepApMB8E17S0UZKRoqUrKiL31YG4vLDRrCiXiOPtultbEwZ3n5bdAj/66+85z9OeoxLkerZTHNAjeZiL4rjHJzIh57K2dvYAO4m7hO7c6dIKv/yS8gWByf50HTbvx9OwUC3eXi3/avPXoFKGRM/ToYtqZMPTqLuz3WlAm267KSgF/XGE7y0Y6lLrYcOiUJRvr55L/v8wOdosLAB5hycA7NAzf7odeJSGXAKMPVomEbQUJGgHH0aiLmsl5uMiBAzgsa2Zg3w8CHw4AFki4OTfGgdsHfrqlg/aSpaV2iV98LUaCBG842G801Kqpx7OUQkREiNE59pnqgFql4YPFJT72QbkJWhv0EyWaOVwWvXgB078haxotL0UUlRUEGF5oHNYRZ4SUeeHH2Acur3n7u6l7OneiflygF//AGjW7gQWL8eeOstyBYHJ9qIoqYIKsC9Nrcv1wLtnNg6fCuuvX0NlTwrlfp2fHyAVn1aAvZlgfQYdTt5ZklJsLReb2ubcx7lM60cuBKXxl1CN81uLrMJTmRaStSSZS/tLAeydEvaqFRJ5H3QbhlTvJYGDhT94+SKg5Nc4uKz0Hr6NMxfuw8ZBWULRaiXdLi+idY6BHXQzw4K2tYX0FMc52qxFutW9C2pl5NGXd+6MAs0G6gpk+7NMyeyE9gHsC8DJD8EIvbodFPUuPLqVWDJEr2NzqxwcJLLH9tP4JjdPHx4oR8yVAUUDuN+Onqx985ehESHlDphefsl9a4dzjuxCHfvAl26AAsW5HQcbvFbC4zaOEqqp2NWaNk4IwGwcxc7Apm82DiI3BM9JMZSUqyxZy6uXgXatweW6V6uxeA4OMkl0NsN1eJfRWOrUXC0dcx7YVoM8PScOM7JsKVG3YqpiufE7RNL9fs0pT92Zg9kZVnBKuYCkHRf72Nk8rJ5M7B3r1gjJ/di7yE+LR53nt6RdoGZFc2SDjX7o1lCJj+VXxY/w/4G0uP1cpNUpTXDCHH20qUisTz/jjc5yrV6ywZ3qovBnQrJToo6JPJN3GpwBr0Onq/1PD7b/xkqelSUvvXaWttqvVb6yhveeJTeCuUcjopdO9XGGmy8zPSee06szVMPEM3f0Lbh29AssJnyi63l91gTnPCSjmxROwH6HIi/AYStB6roVl517lxR8+SXX4ABA2Dw7fienkBzBeSO88xJSXG+iV7U8q6Fe+/dw4+9f9Q6MNH47DOgXHPeUmwpqB5D7xE30b1fzp7L4CrB8HD0gNnhnTrK2Dqmp5onhLYSR0YCf/8NgytfXuwSCg6G7HFwUlKcb6I3vi75ClWUNjGNhO/SuVMokzdq4tdxSUd0W94NMSkxMFuJYUBSGGBlA3i3NPVoWFE0vXYi9gKJ93S6qTfeEL2iTLGlWM44OClpxcanZ8RxzjfRG6p98taWt6Sf2kp1boRU6wAgIxGILKCSLzMLf/4J7NqfhLTMNCm/xOwSYAts9tcIsKVmUky2XIIAv87i+N0C2pxooXJlUcPJzg4G8/QpMGYMcPBgMb3jZISDk5KIPCQqNrpWBZzLm3o0ZmP438Ox8NRCfLT7I61/d9pHVlixp5c4wVuKzRL1/5g8GRg/qBHm1tyHXaN2wdvZjPtZcb6JsmiWdm4vlf0n/urVwO+/i5wTpeDgpCR4SccgZneeLSU1vt7kda1/l4pxHb6jqRbLeSfmhioJX7h/S0qGpe2WL/eqp5/lQDnjfBNlqTAIsHESibHUjFRHixcDrVoBZ9ST9PrUsiXw2muiIqy++rAaGu/W0SY48eNmf/rUukJrnHj9RKm6FnfvDvTo0hXYYAfE3wTibgLu1Q0yTmZc9+Puo/PSztIyzt45e/GrVw2YPdqSGqMuFcqVYZXBzg2oMFAs61BirI55Qtu2AcePi+2+TZpAr+j2Fi2CovDMSUneNKJPieM8c6J3uQMT6pOiTRNAawd3wKe9OINnT8yGnbUdnGydpFpDznbOsAhUFZaWjp0r8tKxEmue3Futc2L+O+8A33wDfKT9KrdZ4uCkOFFHAFUm4FIJcKlo6tGYJepUvOjMIjT5vyaIT9WyqFEgbyk2N36ufvhnwF6s6LoX5d3LW877DOElHWXx6wI4BQJp0TrnvrVrB0yaBPjpsW1bRgbw7bfy7j5cGA5OisNLOgaXnpmOeYfn4Vz4Ofxx9g+tMtAHvasuZR+5D0hPMOAomSFFJkbi4D1qrCns2eyDNnUrYpQ659Dscb6JMlEV30oj9FbzRN927hQBT9OmopChknBwUhxOhjU4B1sH/Nr3V0xvPx1vtyh5OjlVOjx9sxZuR1aGVVaazo24mGlEJ0ej67Ku6L6iO3bd3iWdd/s2YG0N1KwJ80cNDB8fFcc5OFHurp0HW4CUxzrf3J49wMsvi8JsunJ0FL10hg4VS+FKwsFJUaiGhiYLm4MTg+pSuQtmd5kNGy36iVC6yurVVvBvwks7SuZi54JKnpVQxrGM1NZAU9I7IgJ4802Yv9hLQEY8YOsGeNQ39WiYtjzrAmWbAqoMkXuio2nTRGM+qvGjq86dgQMHRC6L0nBwUhT6NkN/cJSkRjknzGg5KN8e/Vaa6i8Obb1zrqbZUrxF9vUGWMEzZ38N/gtHRh9BjVw7c7y9AS8vmL/sZn+tuNmfUmWXs1+q802NHy+C8k56zCRQ2qwJ4eCkKBG5lnSUsjncDEzePhmTdkzCkL+GIJOmvIvj2wmwcRQdiulbKJO92JRYrL28Nvu0vY29NHtCLC6+5HwT5QsaCljZip2dsVd0uinKs1q4EGjUSLch7doFpKVBsTg4KQolWRIuWW9UY5qOkSqBjqg/okTLPHsOOOFceJecdV8ma1S/pNfKXlLw+cupX/JcRoFJ48bAsGHAo0ewDJrKsBycKJejLxCorlh9Z7mpR4PLl0WhykqVgJQUKBIHJ4XJSOZ8ExOp41MHdybcwegmo0t0/RMngP/bzNVilcLBxgEdgzpKOSatyrfKc9nFi8D588DGjSLh2ewlPRCN46ysAS9u9mcWNU/urhBJzjq6d0/kXpVm9oN+NyBAVIalpFgl4gqxhXlyDKAdIE7lRE8dZlSu9q7Zx1MzUhGeEI4gz6ACr9u/P/BPgjop9vERIO0pYF/GWENlpSi8Nyd4jrQzq5x7uTyX1a0LHD4M3LgBODnBcpZ0PBuKiqNMucr1Bew8xfJy5F7Av6tOfaXathX1Sah9w4AB2v1+795AaKgot6BUPHNSmAj1kg7nm5jUg7gHaL+4vbTNlPIUClK7NvDh55UAjzqiYN6jHUYfJytacnoyFhxfICU7awKU/IGJJnGvTRvglVdgGaLUtV14SUf5bBxE7gm5rVvNE2trYMQIoEuX0s8g2toCPj5QLA5Oii2+xks6pkSJkjRr8jjpMW48uVH0lblarCxRW4IX1r2ACdsm4L1t7+n/DpIeAhlJUJyQRcDNn3OSupn57NoJW69zUci5c4Hdu8V2YG3cvw+zwMFJQTJTgMfHxHF+0zApHxcfbHppE06NOYXm5ZoXej1KpLydosk7+U/0KWF6p5n50MyGbL25FWsurclzncVnF2PQ2kFYdXFV9izJ8PrD4e7gjhfrvFjobf/3HzB7NnD1qhYDir8FbKoCbK4JPFU3zpM7+mO9PAc4/rr4O63yKlD+eVOPiukDbQd3qw5kJgFhf+t0U1almLB/8gSoWlVUhI2JgaJxcFIQSoTNSgUc/cUfGjOpRv6NULlM5SIbBNLaau2ObRGX7AakRgFP1M0amVaeJD3B21vfxuubXs9zPs14OH3hhPmH52efF58Wjz5/9sHQ9UPzbPm+GHkRf1/9W2pHoDGs/jApybl9kLpRYyEt4z/5BFglYpqSCfldvFZpnX9nW+D+v5A1CkZOTwDOfyxO15kGtFzE9U3MBUUUeqx5Qmi3zebNKBHqakxvj5SzovSEcg5OCsL5JrJ19tFZtPi9Be7G3M1zftmyQLv2drgQ1V2cwUs7JXL76e08/5eZqkz8dPInLDq7KE/AYW1lLW0Bfpqck2Hn6eiJJgFNEFw5WLpMY2Dtgfip908YVGdQnvsq61S2yLE895w4UIJzidD4NNs2XauIis4H+gNX/yfPYinUtfbwS8CNH8TpJt8Bjebwe4y50fTaidgLJIbqdFNpaUDlykC/fsC5nFi/yERYSqKlQF/prFTa9KmXibi4OHh4eCA2Nhbu7u76v4PdwaJPS/OFQHVLqJ+tDPSn2nlpZ+y/t1/6AFw/eH2+ywGr24uB468BZZsBPU+abKxKcDHiIrot7wYPRw8cevWQtIRGTRhnH5gtBR60m4ZyfkhEQoQUgFD9GRd7F8gCLd/t6w04eAH97wGnJwIhv4nLqo0Fmv0IWNtBFtLjgAMDxPsKjanVMqCSOnmSmZ9dnUTeYsM5QN1pOt3UkCHAsWOiMBsFH0pX0s9v3kpc0LcbTRMurm8iK5S7sHzAcny05yMs6LmggMuRUwiJKjUmRwBOeuw/bmZoJoNKxzvaOiIjK0M6z87GDrM6z3rmun6uMvx/vL1E/AwaDti6AC1+BdxrAWffB279n8hHaf+X6beV09/hvl7A07OArSvQYYNO20yZQmqeUHBCSzt1PtRpduyXXwAPD7GDpygZGWKHjrngZZ38npwEMpNFxT96o2OyUsGjghSglHEq5APHyR+Znk3F8Uf/GXVsSkNbefeM2oP9r+xHgFuAycZBM15btgDx8Vr8EtWyub9RHK+i3ndMHwC1JwEd/hHBCs1S7GgtghRTiQ8RuTAUmDj4AF33cWBiCSoOEi014q4DMbolapcpU3xgkp4OVK8OvPQSEBUFs8DBSWFbiDnfRBG23dqGI2FHsk/Pmwd8uYy3FBdm0ZlFOByqLvwFoGrZqtISjilRwbW+fYFy5YDU1BL+0t1VokiiZwOgTL4mJOX7Ad0OA87lxYfD9pZA5AEYXfRZYGcbICEEcKksxkTda5n5s3PPKW1wL+9uttJS0Y7E2wVftn8/cPeu2Hqs9ERYDQ5OigpOmKzRjpDeK3vjhbUvSDkRJDAQ2HRa/abwaDuQlW7aQcoINdp7/d/X0XdVX4TFhkEuqIdOtWpA69aAg4OWSzq0DbegLxFlGgI9TgBlmwNp0cCerjm/Ywzhe4BdHYGUSBE8dT8CuPPOP4tScYj4GbpW5wTtuDigYUOgZk0gsoBm7cHBwKlTYgnITiZpVrri4CQ3+iDTlJPm4ET2ulXphto+tdG/Zv/sb/+002PxP82hcvAWSYhRObMqlq5vjb5oU6EN3mr2Fsq7l4dcUGv4mzeB9XnzmwsXcxmIPim6wFYaXvj1nALEMkqFF8Rr+9irwLlphq+Bc28tsK8nkBEP+HUGuu6XlhuZhSnXB7BxBhJuA9Gndbopd3fRI4cqKJ8sIM+f4nOqbTJwIMyGGaXP6AHVxqDiOZT9T6XQmay5Objh6OijUnEvDUoc8/CwAWJ6igZctLRjwVV+aYcTJRITZztnKceEkmDlyDWnnVLR7izJ6WXiWEx9bltnoN0a4MJM4PLnwJV5QPwNoPUykZeib9d/EHVMoBJBUZsVoqw5szz090V/ozRzEroG8Gqm080tXixmhikHxRLwzEmh+Sb8X6MEuQMTEhIdIo4EaqrFboGlSkhLQK+VvbD0XE4xKLkFJsnJWs54064iTW0TTSJscei13HC2CEis7UXlTlpyobL3+kIP4vx04PS7IjCpPh5ou5oDE0tXcXDObJqOSzt16xYcmNBsCRUvfPwYZoU/gXOjpnE0a8JLOopDnYupqmn9hfVx+NYFTP+5OzKzrIHYy6IlvQWiMvLbQ7ZLPW2ik6MhR2PGADVqAP+WtLDro21ASoTY+aJJOCypyiOBLrsBWvKjafbtLYDoM9AZBUwnxgCXvxCnG8wGmv3AVV+Z+BulGZSkUODJcb3dbKo6cfziRWDDBrERwNxwcJJbvY+BgZFAtTdMPRKmJVtrW4TFhSE1MxUXoo9hwS9lcfRma4vetTO+xXi82+JdbB+xvdjqrKZAXyT37AFu3dJih4EmqZWqcJamwJpvO6DHccC9NpD8ANjZHghTb0kuDWo4eHCQaOJHMzQt/g+oN513+jHB1gko91zO7ImOoqKAQYOAKlVE9VhKJKd2DzNnAt7eMCtcIZaZVV+Y8xHn0aVyF/z4I9DBey4aZH0EBPYFOsm854qehMaGSsmuVG5eCai2ya5dojx3sQWkUh4DGwNFcmuv80CZBqW/47QY4NBgIHwnvQ0Cjb4Ear+vXVCRGg0ceE4k0VNNizargArcwI/lc/8f4MDzgFM54PlQnVIGMjKAChWA8HBgxw6gWzfAXD+/tfpfWrhwIRo0aCDdIB1at26N/6iVqFqnTp2k5LvchzffzFv+PTQ0FH369IGzszN8fX0xZcoUZND/OGM68nL2kgIT8vbbQP3u6mqxEbtFp2kzdzTsKBr90ggf7PwASuHmBgwYUMLKlveotkk6UKaxboEJsfcEOm0Fqo8TOSLnPhBdgjPTSvb71GhwVwcRmNh5Ap13cGDCChbQQ9Q9oZk6TfXxUrK1BX77DTh/XpmBiTa0Ck7Kly+PefPm4fTp0zh16hS6dOmC/v374/Lly9nXGTNmDB49epR9mD8/p4tpZmamFJikpaXhyJEjWLp0KZYsWYJPKJuHMT3PovTeOg1b071ExV9NM0czdjP6Jp6mPJWK0iWnJ8Ps5K5tog/WtkCzn4CmC8S32dt/AHt7iBmRosReBXa0EflMToFAtwOAb+HdlpmFo1m1cv31VpCtb1+gQQNg9mxgxQogKQnmSaWjMmXKqH7//XfpeMeOHVUTJkwo9Lpbt25VWVtbq8LDw7PPW7hwocrd3V2Vmppa4vuMjY2lpSjpJ2MFmb57ugqfQuU320WVshwq1cl3VJbgr8t/qRJSE1Ryd+eOStWvn0q1aFEJfyH6vEq1EirVKjuVKjlK/wO6v0WlWuMm7mNTdZUq9nrB14s8olKtKyuu929NlSrhrv7HwszP/c3ib+bvAJUqM0Pnm4uKUqns7CglQ6U6f16lKCX9/C714hfNgqxevRqJiYnS8o7GypUr4e3tjXr16mHatGlIyhXWHT16FPXr14efX04TsR49ekhrULlnX/JLTU2VrpP7wFhRZnScgVrpw1B79+dwsFZvKVZeelWx/rz4J5LSc15jg+oMkk/X4CJs3ix26CxbpuWsCSUXOhog869cb6D7YcAlCIi/CexoJVre5/ZgC7AnWFSc9WoJdD0krs9Ycfy7ieW/5EdA1CGdby4tDXjxRaBtWzGLYo60Dk4uXrwIV1dXODg4SPkkGzZsQJ06omDZsGHDsGLFCuzdu1cKTJYvX44RI0Zk/254eHiewIRoTtNlhZk7d66UQKM5VKCMIMaKYG9jjx87r0RW2uvIVNmJKo1UfMuMzNo/C8P/Ho7B6wYjMysTStK9O/D558AbJdkYR3kmVFBPm9ompeFZH+h+HPBqJRoL7ukuduGQ20uBA/3FEmFALyB4t2GCJGaebOyBCgPEcSrIpiM/P6BDB2CJETsyyH63DuWLUFIrZdr+9ddf+P3337F///7sACW3PXv2IDg4GLdu3ULVqlUxduxY3Lt3D9u3b8++Ds2suLi4YOvWrejVS53AWMDMCR00aOaEAhTercNKZE83hITuwvGA4RjWQ/0hZwaogV/3Fd0xs+NMTGkzJbsSrNnudnD0A56/L3JFDCkjGTj+GnBvtTjt3x0I3yGOVxoJtFpUum3MzLI93Abs6yU63j//wPB/x5a0W4fY29ujWrVqaNq0qTSj0bBhQ3z//fcFXrdly5bSTwpOiL+/PyIiRIM2Dc1puqwwNEuj2SGkOTBWUnc9WqNZGDD82ErsDKGto+ahbcW2uPH2DXzQ9oNSBSb0teTgQeDpU8jb7cU5RdSM8YZOtSna/AnU/1Sc1gQmtacArZdwYMJKxz8YsC8rmkFqqpGzQulcDCErKyvPrEZu586dk34GBARIPyk3hZaFInO1Vdy5c6cUbBQ088KYPlSoMhzD3IBKdkCHwMZQqqfJT/HS+pdwP+5+9nnl3MuV+vZoCy9NDVMRJ43YWOCegQvqUoO/w4cpb60EV6Y3csr1IJUNuKSTHwV79WeKIIX6bDX9Hmg8n9tasNKjoLaCujMf9dthRdLqlUZ5JAcOHMDdu3elIINO79u3D8OHD0dISAhmz54tbTOmyzdt2oRRo0ahQ4cOUm0U0r17dykIGTlyJM6fPy8t70yfPh3jx4+XZkcY0zeqqOhfowbey6qOsxUAh0fig45WM4f8NQTfHv1WKn2vBGP+HYPVl1Zj6F9DpfFrg4KOpUvzBgTUDZjqjOTOL582DaDvCcvV7Wv0LSsLGD8eaNcO2FeS3d13/wRUGUDZ5oBnXRhdpZeAPpeBmtQzhzEdBQ0RP8PWi1wqVjhttgC99tprqqCgIJW9vb3Kx8dHFRwcrNqxY4d0WWhoqKpDhw6qsmXLqhwcHFTVqlVTTZky5ZntQnfv3lX16tVL5eTkpPL29lZNnjxZlZ6ebpCtSIyRqlVVqs8Gfy628u1oK523+/Zuaaux/Wx71d2nytgOSuNs/n/NVRfCL2j1e5mZKlVgoNh2qH65ShISVKrExJzTaWlUDkBcb88elUE8fapSDRumUgUFqVTFVg/IylKptjQQz9v1nwwzIMaMKTNdpfrLR/xNP9yuskSxJfz85vL1zOyFhAAVfR7CbktF0dyxz2VkuNXAknNLEJUYhWntp2Vf91b0LVQrWw1yKEP/zZFvpM7Ci/qrd4yoZ3yKyy+hZmD794squRpvvSXOo5qIfdQNmwub2ThwQMyqaFA1Surh4aLHHcr0rlNsmkz0WWBbE9FJeMAjwEF+/YEY09qJccCtX4Aqr4nkagsTV8LPbw5OmOXY3x94sAmoORFo+r8CA4IaP9RA+6D2+Hvw33BzcIOpXIq8JHVYlhoaTgyDv2vhCeO50Y78wEDx4X/7NlC5sjg/ORlwdNS+Hx0tB9WuTUnpAHWqqFULxnPqXeDGD6LtfDvdt18yJgtUrXp3Z8C+DDAgXGwztiBxhtqtw5hiVRsjft5dBmQ+m2dCZd9VUCEjKwOu9q5GG9b1x9fx1pa38MWBL7LPq+dbDx+2/RCbX9oMXxffAn8vJQX46y/gp59yzqNNb7Qjf+BAcbmGk1PpGuXevQvY2YlDpUrQucnf48clvDI9P3dXGr62CWPG5tMecPQXtXTCd5l6NLLFwQmzCLRltt2LPfE0tRyQ+gQI2/DMdYbWG4rrb1/Hwj4Ls5dO0jLTMHPvTGn5x1CuRF3BwlML8cOJH5CemZMkN7frXPSo1qPQDsPHj4sqkR99JGZGNKjyKu2IoRkPXTVsCFDx5k2bxMyLxs6d2hfcpV1BVDwqXy/QglFFX6rESr1rqM4IY+bC2gao+II4zrt2CsXBCbMI6enA4aO2+H3Pa+KMkN8KvF4lz0qo5Z2zdvHLqV8w68AstF/cHlmqLJ3HcT78PMb+O1YqO6/Rt0ZfvN74dawcuBI29MZVgLAwUVE1d0XI9u3Frhfa/ZJ7lsRaz69qV9e8yzkbNogKrz16iByVkrp0SVy/RAWeQ3LXNin4/4QxxaKlSnJ/Y4GzuAywzBJ1zOJ07gwsWAAM7TcaOPI5ELEHiA8B3KoW+XsN/BqgsX9jvNnszTwzGBSoFDajUZRtt7bhtzO/4ULEBQyrP0w6z87GDr8991vRv7cNmDFDbPN9+WWxRENBCM0IGRstzdAyUfPm2gVC9P8/ZYrIXylScjjw6D/j1zZhzFh82opZweSHwKPtQPnnTD0i2eGZE2YR6MP8nXcAn0pBQIB6mSDk92J/r1OlTjg19hRGNx6dfd6h0EOo+3NdbLq+qcjfPX7/OF7951Upl0XjlUavYESDEfiy65dajX/wYDFTMXWq6fsXjhkjlnqmT88578EDauxZ/O/SrIlvwSk0OaiPDu2qoh43HsbMwGXMSOiLTcUXxXFe2ikQByfM8lQdk1MWvQSFkGiGJPdyy7xD83Dt8TVsuaGuXFoImiGh7cq0NKTh5+qH5QOWo2OljloN2cNDzJ6MGqXHZZv0ONHv49xHwNFXgKQHJf5V2gVEsycatG2ZOqR+952OY5K2GanXrjgRlpmzikNyekdRPyeWBwcnzKKEhgKvfdIPT5N9gZQI4MFmrW+DckOmt5+OTzupe6/QJEx0CAatHZSntPwbTd/Ayw1fxlvN3yr1eKlHZu58Ep2kPBaJwKcnAtuaAX+VEY3IrswF7iwFDr4AZKaVqn17mTKArS0QHFxwvNG6NTB2LJCrc0XBok8DsZcBG8ecapqMmSPvVoBzRSAjAXi0zdSjkR0OTphFsbEBlq+0x//tUn8rv1V0rkdBPBw9MLvLbAS4iZ5R5Ntj3+Lvq39j8Vl1IieA5uWaY8nzS9CqfKtSjfXaNbEtuEqVvCXmSyzpPnB3lSj6tKUu8LcPcHAgcP07EQRQgq9rFaDyKMDOE3hyDDifU5CupOztgT/+AG7cAOrXzzmf6qLcvy+Kwh07BqxYIcrll6jJX/kBgL2n1mNhTFFrzZqlnXtcxyc/TohlFqVcObH00K7h60DofPGNJTEUcKlY6tvU1DEc12yctPNGX2iHDo23SROg2FqDNIaEECDyQM4h8c6z16Mmdj4dAF86tAecy6vvbCNwcABw7X/isvL9tR5v7joolIMyZIgY1t69Ygbozp28S0HPyEwB7qm7EPKSDrMENDt47Rvgwb9ARhJg62zqEckGV4hllmtXZyByH1BvJtAgZ4lGblugo6NFfZA8aNaDlj9yByMp4c8m3ZVpnBOM+LQDHL0Lv7PTk4Dr34pZlF5nAFd1edlSuHVL5MfQu8uhQ2LGqlj31gKHh4iA6bm7vIWYmT96gWyqKr5ItFubM5NiarSTkcot1J0O2Lma5PObZ06YZVeMpeDk9h9AvRmy/DCkyqxSYEKJu9RrJooCkYNA1EFRYTI36kHj1UIdiLQHfNoAdloE743mAY8PA09OAIeGAN0Olbq0NvXioaDkyZMSBiZEkwhLy0wyfC4YM8jSTtBg4MqXIjiXQ3CiUgGn3hazypQk38ZALcqLwcEJs0hJScCCPwfiTb+y8EQYEL4DCOwFOaAy79Rsj3a/SIVqo8+IxNWUfNmkti6Ad+ucmREKTGyLWjcpBgUi9O3tv8ZA9Eng3AdA09Jvv6FdRT4+Jbxy0kMgfLs4XvnlUt8nY4osyEbBCVVFTk/Q+0yF1sLWi8CEvuzQlzYT4YRYZpFoRuLHnx2xZN/IUifGGspvv4nqr1RsLftbDAUmtNxSrh/Q+Cug+3HghadAl51A/RmAX0fdAhMNlyCg1VJx/Pr3QNjfMIq7y8VSFRWncq9hnPtkTA5o6dW1GpCZLHJPTCk9Hjj9njheZ6pJX4scnDCLDU7mzAGqdFfXPKE3BapMKgPUCZiqqHbsqB7X46OAjRPQ5zLQcRNQ+33AuwVgbWeYAZTvJ+6DHHsNSLgNg8pd24QrwjJLXdqRQ0G2CzOB5AdiF18d7Xfu6RMHJ8xiUcLmcyPriqURVUbOB6SJffYZcO8eMGJ4JnD+I3FmzfcA50DjDaLhHPH/kh4LHBps2P4fT44DcddEAKZ5k2bMEguyPfxPFEc0hafngRsLxPFmP+lnJlYHHJwwpqkYS+Xs9dDcTx8oCdbh4XKxI8e+DFDnA+MOgGZl2q4B7MuKmihn1TMphqAJCisM0i6BlzFz4VkfcK8FZKUC94tui2EQ9L534k3RNqLCC0BgT5gaByfM4m08OxgJae6iTkjEPpON48oVUR8ku+bHhU/EcZpeNUVBMpcKQGt1pv6NH4HQdfq/DyrbfW+1OM61TZhFF2QbbLqCbCG/iyKMtq46JcHrEwcnzOL9sNAFyw+IDsHS3n4TGT9e9KxZQ+9NN34GksJEzY8ab5tsTCjXWyTGkWOjgfhb+r19ahlPS0dUxtuvs35vmzEl0QQntGstLcZ490vJ9uc+FMcbzAacy0EOODhhFk/q9KtZ2qHdKdSDxsgSE4Es9YpSu5axwJU54kT9T02+9osGn4tdNBnx6vyTFP0v6VR5WRSNY8xSedYFPOqKmkb3Nxrvfs9+IGomlWlk2i9C+fC7AbN43bsDb33cBCjTBMhKE9tajczFBdi/H7h+HSgX+zWQ+kSsQcuh5oe1LdB2NeDgDTw9C5yZpJ/bTaT6MjvFcTk8Tsbkkhh7z0i7dqiyNDX9hBXQfKF4rcsEByeM5a4Yq6l5YqKuDpX9w0V/G9LwC/m8WdDykib/5OZC/ayLS0GgShSQc6uq++0xpnSa3WrhO8UXFEOiDuQnx+W891GXZBnh4IQxtcuJw5Ca6QzEXQUeHzHa/R4+DKRqdupemg1kJgFeLUVnXjmhDP666q3Nx18H4m6U/ra4tgljz3KvCXg2FKUNwjYY9r6oj1bsFcDBB2g4F3LDwQljar8tccfKg0OMWjE2IgIIDhaJsBHULe/W/+X0uZFq18tM/c8A345ARgJw6EWx26Y0KPiLvylK8MuhnwhjcmGMgmyJ94CLs8RxqjjtUBZyw8EJY2rvvAOEWI3JeWMwQsb8zZuAtzdQsSLgGz5DfGMK6An4dYIs0TJTmz/Ft62YC8AZdanrUtc2ecH0vUQYk2PeScQeICXKMPdx6l0xQ0tLqtRoU4Y4OGFMrWpV4ItfWomMeepzcfdPg99nu3bA7dvA34vOwipUXe+jkfymWPOgSrVtVookOprp0fb/KSMxJ2elyqsGGSJjikX5V2WbioJohuhtRUXeHmwCrGyBZj/Lc4aWgxPG8qEXanbFWOMkxtrbA4GR6j4WQcPElj65C+gG1Jsujp8YC8ReK/nv0lo6bUt2qQz4tjfYEBlTfM2TUD0XZKMvBqfeEcdrTxbbl2WKgxPG8nnqORIZKgfg6TlRut0A0tOBY8fUJyL2Ao+2i28yDdTrwEpQb6YonEZveFL+SVLJfo9rmzBWsuAkcr9+G5JSwn1SqOg+Xm8G5IzfGRjL5+8tZbHmyCDpeNZNwyTGrl0LtG4NDByoyqnOWO0NZW2ptbYR+SeOfkDsJeD0uyVLxKO1dMK1TRgrmGslwKuF6HkTtl4/txlzGbj6jTje9AeRjC5jHJwwls+wYcDpGLG0YxX6J5CeoPf7oK7DtJwzrP3fwJMT4o1C5t9kCuTkn5N/ErIIuFNMAbvby0RtE5pxoTdgxljRibGheti1Q8vTVNOEEu7L9wfK94PccXDCWD5OTsD/VnQE3KrDirbM6nvdF8BHHwF3QjIwoMrH4oxakwAnPyiSfzBQf6Y4Tp1NqXZCQehb4B3Nkg4nwjJWpIrqLfaRB4Gkh7rdFlWBjToI2DgDTRdACTg4YazQxNjXDVrzJDBlCWwSrwMOXkDt96FodacD/l3F9kQp/yTx2etEHQISbovOpxUGmmKUjCmHSwXAu42YaQz7q/S3Q5Vmz04Rx+lLhEtFKAEHJ4wVIjPoZWTBFnhyHIi5qJfbvHsXePSIsuaTgYufijPrfgzYuUPRKP+k9QrA0V/MnJx6u/BEWEr2k/l6N2OySoy9p8Ps7blpQOpjUSKh1kQoBQcnjBXizBU//H2iv3Q86YJ+Zk8+/BCoVAk4ufIHIPkB4FwRqK7ub6F0tCzVdpXYgUOBiCYYIZS3o1k75yUdxrRY2rESFZWpUaa2oo6KkghEauxnB6Xg4ISxQjRvDpxPEImxjuHLS1+qXS0jAwgPB5xtn6KJg7rQGm0dtnGE2aDKtlTinpx8C4i5JI7TjgNa6nGtCvi0NekQGVMM58CcWkCh67T73ayMnMZ+VV5RXE0hDk4YK8Ls37pJNQGsM2J03tJnawvs2wfc2PglbLJiAI96QKURMDvUHNC/u6iyS/knNGtye3HOm6RMK1IyZlYF2W78AMScB+zLAI3mQ2k4OGGsKLREUWW0OK6ZHtVF0gP4RH8vjjecI3I1zPH/rM0KwCkQiLsGHHpBFJOi6WmZ9vFgTLYqDBKvKSo5kHC3ZL+TdB+48Ik43uhLwNEHSsPBCWPFqfoqVPRSiTwAVez1Ut3E+fNAWhpVaJwFZKaIpY1yfWG26M2w7WrxpkrVbzVbjhWyU4AxWdUS8u2oXc2T0xNF53Dv1kBV9ZcrheHghLFixGWUx3/ne0vHHx78XevfT0wEgoOBri2vQ3VrkTiz4TzzX96gNe4Gn+ec5kRYxgxfkO3hNrH12MpGJMEqtEWEMkfNmBG5uwN3bERirF/iUiCTpkBK7vp1UQ32w17TYYVMILAv4NsOFqHOVKDaWCCwN9c2Yay0KgwUwQb1+oq/Vfj1KGn/1HhxvOYEoExDKBUHJ4yVwLhZvaUcCtvMKODBP1r9bpMmwN3TJ9G7HhVSsgIazYHFoG9tLX4FOm0xr11JjBl7mdSvS/G7dq7MFYUOncoB9dV1lBSKgxPGSsCattpoliW0rRirUsH+irq5X+WRgGd9/Q+QMWbZBdnirgNX5onjTb8H7NygZBycMFZSmsSy8J1IirxTol5bZ8+K60udeK3tc2qAMMaYNioMAKxsxfZgCkSeaez3FpCVDgT0MoslVA5OGCsp18o4erebdPTqFnViaxF27waaNs3Czb+miTOoEix34mWMlYaDl+hfRe7lS4y9t0p8AaKl0+Y/mkWyPQcnjGkhuoxIjK3jsFhUYCzCxYvAS23WobrXGcDWTfTQYYyx0grS7NrJtbSTFgOcmSSO03uMaxWYAw5OGNNC99f6Q+XgAyc8BB5uLfK6EyekY+nk6eIEdR1WYCEkxpiMlH9e9MeJvQzEXBbnnZ8OpEQA7jWB2uruw2aAgxPGtGDnYA+rKi+XLDE25HfYJt8CHH2BWupvNowxVlr2noB/j5yaJ09OATd/Fqeb/QzYOMBccHDCmLaqvi79UD3cintX7z9zcWQkEPEwEbg4S5xRdwZg52rsUTLGzH1p5+Sb9E4EBA0D/NVbjc0EByeMacu9Jm7EdIAVsnDxH3VDu1y++AL4+d3vgJRwwKWyKELGGGP6UP45wNpB7Nihomx2HkCTb2BuODhhrBTSK4rE2LYBiwBVVp4dfWG3nmBST3UX0AazARt7Uw2TMWZu7NyBwF45pxt+IfrvmBkOThgrhTo9BkFl54kydveARzuzz6cdfOtnz4WHcxxUng2BSi+ZdJyMMTNUWd3du2xzoBot7ZgfDk4YKwUrOydYUbVXEpIrMTYxFFY3fhTXaTRXsU23GGMyL8gWvA/oshOwtoE54ndOxkqrmljaUd3/BxdPRuDmTSDr/KdAVqpocR7Q09QjZIyZK7+OgL0HzBUHJ4yVlmd9RGW1hJUqAweXLsU7o65AdXupuKzRPLOo0sgYY6Zga5J7ZcxM2NQcA9w8jt41f0eQyxHYWGchw/952Hq3MvXQGGNMsXjmhDEdlG00BFk2rqjkdRN9Gv4DFaxh23SOqYfFGGOKxsEJY7qwc4V15WHZJ62qvAJ41DbpkBhjTOk4OGFMV5oia1QYqf6nph4NY4wpHuecMKarsk2B9n8DDt6ASwVTj4YxxhSPgxPG9FV3gDHGmF7wsg5jjDHGlBucLFy4EA0aNIC7u7t0aN26Nf7777/sy1NSUjB+/Hh4eXnB1dUVgwYNQkRERJ7bCA0NRZ8+feDs7AxfX19MmTIFGRkZ+ntEjDHGGLOc4KR8+fKYN28eTp8+jVOnTqFLly7o378/Ll++LF0+ceJE/Pvvv1i3bh3279+Phw8fYuDAgdm/n5mZKQUmaWlpOHLkCJYuXYolS5bgk08+0f8jY4wxxpgiWalU1Ee19MqWLYuvvvoKL7zwAnx8fPDnn39Kx8m1a9dQu3ZtHD16FK1atZJmWfr27SsFLX5+ftJ1fvnlF0ydOhVRUVGwty9Z99a4uDh4eHggNjZWmsFhjDHGmPyV9PO71DknNAuyevVqJCYmSss7NJuSnp6Orl27Zl+nVq1aqFixohScEPpZv3797MCE9OjRQxqsZvalIKmpqdJ1ch8YY4wxZp60Dk4uXrwo5ZM4ODjgzTffxIYNG1CnTh2Eh4dLMx+enp55rk+BCF1G6GfuwERzueaywsydO1eKtDSHChV4uyZjjDFmrrQOTmrWrIlz587h+PHjGDduHF5++WVcuXIFhjRt2jRpCkhzCAsLM+j9McYYY0xBdU5odqRatWrS8aZNm+LkyZP4/vvvMWTIECnRNSYmJs/sCe3W8ff3l47TzxMnTuS5Pc1uHs11CkKzNHRgjDHGmPnTuc5JVlaWlBNCgYqdnR12796dfdn169elrcOUk0LoJy0LRUZGZl9n586dUlIMLQ0xxhhjjNlqu7zSq1cvKck1Pj5e2pmzb98+bN++XcoFGT16NCZNmiTt4KGA45133pECEtqpQ7p37y4FISNHjsT8+fOlPJPp06dLtVF4ZoQxxhhjWgcnNOMxatQoPHr0SApGqCAbBSbdunWTLv/2229hbW0tFV+j2RTaifPzzz9n/76NjQ02b94s5apQ0OLi4iLlrMyaNYufDcYYY4zpp86JKXCdE8YYY0x5DF7nhDHGGGPMEBTZlVgz2cPF2BhjjDHl0HxuF7doo8jghJJxCRdjY4wxxpT5OU7LO2aVc0Lbl6k/j5ubG6ysrPQe1VHQQ4XezD2fhR+r+bKkx8uP1TxZ0mO1pMerUqmkwCQwMFDaQGNWMyf0gKhDsiHRH4c5/4Hkxo/VfFnS4+XHap4s6bFayuP1KGLGRIMTYhljjDEmKxycMMYYY0xWODjJhyrVzpw50yIq1vJjNV+W9Hj5sZonS3qslvh4i6PIhFjGGGOMmS+eOWGMMcaYrHBwwhhjjDFZ4eCEMcYYY7LCwQljjDHGZIWDE8YYY4zJisUFJz/99BMqVaoER0dHtGzZEidOnCjy+uvWrUOtWrWk69evXx9bt26FEsydOxfNmzeXSvz7+vri+eefx/Xr14v8nSVLlkjtAHIf6HHL3aeffvrMuOk5M8fnldDfb/7HS4fx48cr/nk9cOAA+vXrJ5W2pnFu3Lgxz+W0ufCTTz5BQEAAnJyc0LVrV9y8eVPvr3tTP9b09HRMnTpV+tt0cXGRrjNq1CipbYe+XwtyeW5feeWVZ8bes2dPs3tuSUGvXzp89dVXinxuDcGigpM1a9Zg0qRJ0l7yM2fOoGHDhujRowciIyMLvP6RI0fw0ksvYfTo0Th79qz0AU+HS5cuQe72798vfVgdO3YMO3fulN7sunfvjsTExCJ/j8omP3r0KPtw7949KEHdunXzjPvQoUOFXlfJzys5efJknsdKzy958cUXFf+80t8nvS7pA6cg8+fPx4IFC/DLL7/g+PHj0gc3vYZTUlL09rqXw2NNSkqSxjpjxgzp599//y19uXjuuef0+lqQ03NLKBjJPfZVq1YVeZtKfG5J7sdIhz/++EMKNgYNGqTI59YgVBakRYsWqvHjx2efzszMVAUGBqrmzp1b4PUHDx6s6tOnT57zWrZsqXrjjTdUShMZGUn1bFT79+8v9DqLFy9WeXh4qJRm5syZqoYNG5b4+ub0vJIJEyaoqlatqsrKyjKr55X+Xjds2JB9mh6fv7+/6quvvso+LyYmRuXg4KBatWqV3l73cnisBTlx4oR0vXv37unttSCnx/vyyy+r+vfvr9XtmMtzS4+7S5cuRV5npkKeW32xmJmTtLQ0nD59WpoGzt1AkE4fPXq0wN+h83Nfn1BUXtj15Sw2Nlb6WbZs2SKvl5CQgKCgIKk7Zv/+/XH58mUoAU3t0xRqlSpVMHz4cISGhhZ6XXN6XunvesWKFXjttdeK7NCt1Oc1tzt37iA8PDzPc0cNxGgqv7DnrjSvezm/huk59vT01NtrQW727dsnLUPXrFkT48aNw5MnTwq9rrk8txEREdiyZYs0k1ucmwp+brVlMcHJ48ePkZmZCT8/vzzn02l6wysIna/N9eUqKysL7733Htq2bYt69eoVej16Q6DpxX/++Uf6wKPfa9OmDe7fvw85ow8nyqvYtm0bFi5cKH2ItW/fXmrLbc7PK6G17JiYGGm93tye1/w0z482z11pXvdyRMtWlINCy5FFdazV9rUgJ7Sks2zZMuzevRtffvmltDTdq1cv6fkz5+d26dKlUm7gwIEDi7xeSwU/t6Vha+oBMMOj3BPKpyhufbJ169bSQYM+wGrXro1ff/0Vs2fPhlzRG5hGgwYNpBcxzRKsXbu2RN9GlGzRokXS46dvU+b2vDKB8sUGDx4sJQPTh5K5vhaGDh2afZwSgWn8VatWlWZTgoODYa7oiwPNghSXpN5Lwc9taVjMzIm3tzdsbGykKbTc6LS/v3+Bv0Pna3N9OXr77bexefNm7N27F+XLl9fqd+3s7NC4cWPcunULSkLT3jVq1Ch03ObwvBJKat21axdef/11i3heNc+PNs9daV73cgxM6LmmxOeiZk1K81qQM1q6oOevsLEr/bklBw8elBKdtX0NK/25LQmLCU7s7e3RtGlTacpQg6a36XTub5W50fm5r0/oDaKw68sJfcuiwGTDhg3Ys2cPKleurPVt0JTpxYsXpW2bSkL5FSEhIYWOW8nPa26LFy+W1uf79OljEc8r/Q3Th07u5y4uLk7atVPYc1ea173cAhPKM6Ag1MvLS++vBTmjZUfKOSls7Ep+bnPPfNJjoJ09lvTclojKgqxevVrK7F+yZInqypUrqrFjx6o8PT1V4eHh0uUjR45Uffjhh9nXP3z4sMrW1lb19ddfq65evSplS9vZ2akuXryokrtx48ZJOzT27dunevToUfYhKSkp+zr5H+9nn32m2r59uyokJER1+vRp1dChQ1WOjo6qy5cvq+Rs8uTJ0uO8c+eO9Jx17dpV5e3tLe1QMrfnNfeuhIoVK6qmTp36zGVKfl7j4+NVZ8+elQ709vS///1POq7ZoTJv3jzpNfvPP/+oLly4IO1yqFy5sio5OTn7NmjXww8//FDi170cH2taWprqueeeU5UvX1517ty5PK/h1NTUQh9rca8FuT5euuz9999XHT16VBr7rl27VE2aNFFVr15dlZKSYlbPrUZsbKzK2dlZtXDhwgJvo4uCnltDsKjghNCTTW/q9vb20ja0Y8eOZV/WsWNHaTtbbmvXrlXVqFFDun7dunVVW7ZsUSkBvSAKOtC20sIe73vvvZf9f+Pn56fq3bu36syZMyq5GzJkiCogIEAad7ly5aTTt27dMsvnVYOCDXo+r1+//sxlSn5e9+7dW+Dfrebx0HbiGTNmSI+DPpSCg4Of+T8ICgqSAs6Svu7l+FjpA6iw1zD9XmGPtbjXglwfL31p6t69u8rHx0f6okCPa8yYMc8EGebw3Gr8+uuvKicnJ2k7fEGCFPTcGoIV/VOyORbGGGOMMcOzmJwTxhhjjCkDByeMMcYYkxUOThhjjDEmKxycMMYYY0xWODhhjDHGmKxwcMIYY4wxWeHghDHGGGOywsEJY4wxxmSFgxPGGGOMyQoHJ4wxxhiTFQ5OGGOMMQY5+X9uvRDiTzvjaAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "y_hat2 = reg.direct_forecast(y=y_train, prediction_horizon=20)\n", "plt.plot(y_hat2, label=\"Predicted direct\", color=\"blue\", linestyle=\":\")\n", "plt.plot(y_test, label=\"Actual\", color=\"orange\")\n", "plt.plot(y_hat, label=\"Predicted iterative\", color=\"green\", linestyle=\":\")\n", "plt.show()" - ], - "id": "bc5ed962ad010b89", + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "5e283827ebb7141b", + "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alpha: 0.2550646708489574, Beta: 0.02550646708489574, Gamma: 0.7448608356181274, Phi: 1.0\n", + "Alpha: 0.25508210344031595, Beta: 2.5508210344031598e-05, Gamma: 0.7448434047700282, Phi: N/A\n" + ] + }, { "data": { + "image/png": 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Fkg5BXipW3uIyl3Z0Hg5OGIZhGNVICAKi7ooMhmv70n9+eWmHbex1Hg5OGIZhGNUIyijp0PRhc+fSf34WxeoNHJwwDMMwmq03ySGK5cyJrsPBCcMwDFMw1CEj15uUZguxIpw50Rs4OGEYhmEKJuYJEO8HGJoCrq3UnDl5Ash4YKkuw8EJo1ZOnjwpWe/TgEJVKVeunDQ/iGGYUiQ4I2vi3BwwzmXgaWlAvioGxmKuT0KAetbAlAocnGgQr1+/xvjx46XhfmZmZnB3d0fXrl1x9uxZ6Xb6Ed+5c2ehH5d/zBmGKTYxrLr0JoShCWBdXlzm0o5Ow1OJNQga8pecnIy1a9dKQ/uCg4Nx7NgxhIWFqXtpDMPoM+lpQPBx9epNFEs7FJhQO7GbGtqZmVKBMycaApU1zpw5gx9//BHt27eXpg03adIEM2fORJ8+faTsB9G/f38pgyK/7uvri759+8LNzQ3W1tbSxOKjRzPSrwDatWuHFy9eYOrUqdL96ETQtt69e0tTjK2srFCzZk3s379fqdRy6NAh1K9fHxYWFujQoQNCQkJw4MABVK9eXRrYNGzYMMTHx2c+V1JSEj7++GO4urpKQ/VatWqFy5cvK71Oeo4qVapIj0mv8/nz5zn+Lf777z+0bt1a2qds2bLSY8bFxeX670ZzK7/55pvMbJOnp6e0P8MwxUjkDSA5AjC2AZwaq3ctLIrVC/QmOIlLjpNOikOYk9OSpW1JqUm57puuILhKSUuRtiWmJqq0b2GhwIJOVLahH/nsyH/kV69ejcDAwMzrsbGx6NGjh5RhuX79Orp16yYFHS9fvpRu3759O7y8vPDdd99J96MTMXHiROl5Tp8+jdu3b0tBET2/IvSj/+uvv+LcuXPw8/PD4MGDpfLQhg0bsG/fPhw+fBhLly7N3P+zzz7Dtm3bpMzPtWvXUKlSJaksFR4eLt1OjzFgwABpfTdu3MCYMWPw+eefKz0nBVv0GiiLdOvWLWzevFkKViZNmpTrvxs93+LFi/Hbb7/h8ePH0r9f7dq1C/3vzzBMPmR26bQDDNWccOd2Yv1ApoVERUVRhCGdZychIUF279496VwRfAPpFBIbkrnt+1PfS9vG7BqjtK/lD5bS9mcRzzK3LT6/WNo2bNswpX2d5ztL2+8E38nc9vuV34v0uv7991+Zg4ODzNzcXNaiRQvZzJkzZTdv3sx6DYBsx44dBT5OzZo1ZUuXLs287uPjI1u8eLHSPrVr15Z98803ud7/xIkT0nMdPXo0c9vcuXOlbb6+vpnbxo0bJ+vatat0OTY2VmZiYiJbv3595u3JyckyT09P2fz586Xr9Hpq1Kih9FwzZsyQHjciIkK6Pnr0aNkHH3ygtM+ZM2dkhoaGme+p4utZuHChrEqVKtJzqUJefx8Mw+TDsc4y2XrIZA9+Ud5+6JBM5udXumsJPCLWsqda6T4vU+K/34roTeZEG6BsQUBAAHbv3i1lD6i80qBBA6xZsybP+1Dm5NNPP5VKLfb29lL24/79+5mZk7yg0sf333+Pli1b4uuvv5ayFNmpU6dO5mUqG1laWkpaGMVtVOqRZzxSUlKkx5NjYmIilaZoPQSdN23aVOk5mjdvrnT95s2b0uuVZ5LoRNmX9PR0PHv2LMca33rrLSQkJEjrGjt2LHbs2IHU1NR8XzvDMIUgLRF4fSan3uTQIWDUqNKfECzPnMT6Aun8WddV9CY4iZ0ZK52cLbMsl6e3nC5t+7XHr0r7hnwaIm33tssYMkVlkMYTpW2r+qxS2vf55OfS9uou1TO3vVvv3SKvk7QanTt3xpdffimVU959910peMgLCkzoB3nOnDmSZoXKJVTWIGFtflBJ5enTpxgxYoRU1mnUqJFSiUYeXMghDYridfk2ChqKEwq2xo0bJ70O+YkCFirZVKxIU0mVIU3Kw4cPsXz5ckmjMmHCBLRp00YKlBiGKQZenxMBirk7YFcja/uKFYCdHbBxY+mux7IsYGgGpKcA8fkfhDHai94EJ1amVtJJLgglTI1MpW1mxma57mtokPXPY2JkIm0zNzZXad/iokaNGpliUAoO0tLSlG6nNmMKYEgoS0EJtR9nF5mamprmuJ/8h/3DDz+UdCmffPIJ/vjjjyKvkwIHeh552zNBAQJpY+g1EJTduXTpktL9Lly4oHSdMkX37t2T9CrZT/T4uUFBCelYlixZImWbzp8/LwVcDMMUp2V9Rzoiydo+bhxQrRrQq5e4fvEiMG0aUNKZS/qutakkLkezKFZX0ZvgRNOhdmHqiPnnn3+kEguVMLZu3Yr58+dL3TgEdeiQ8DUoKAgRERHStsqVK0vBhTzDQB002bMZdD8Svr569QqhoaHStilTpkjdOPQ8JF49ceKEFDwUFer4IY+W6dOn4+DBg1KAQWUW6uYZPXq0tA8FQpQBoX0o20HC2uwlqxkzZkgZIxLA0mui/Xft2pWnIJbuv2rVKty5c0fKBNG/HwUr1O3EMEwximGz+5t07w6Q7xIdfNABVP/+wOLFwLx5Jb8mFsXqPBycaAikrSA9BnWeUFmiVq1aUmmHfuCpY4ZYuHAhjhw5ImU8qMWXWLRokdQO3KJFCyl7QPoMyj4oQp06lE2h7IaLi4u0jTIp1LFDAQnpW6i9l0ojb8K8efMk3QyVimgNT548kQIgWh9B7b7UXUMdNXXr1sXKlSulclR2ncupU6fw6NEjqZ2YXudXX30ltQjnBulsKONDWhe6L7VR79mzB05OTm/0WhiGoZbGSCD8SsH+JlZWwLJlQIsWdORT8uvidmKdx4BUsdAyoqOjYWdnh6ioKMlvQ5HExEQpG1C+fHlJv8EwivDfB8MUAr+dwJn+Ihjo/VBso9LstWvAsGFAtu9fSRyrWPrx9we8vIp/XU/+BC6NBTy6Au0PFv/jM2r5/VaEMycMwzBMwXoTOVS6GT8e+N//cu6vGJhs2UJiNKq9Fv+6bDlzoutwcMIwDMOorjdp1YrU7cD77+d/3337AOoazMWmoNg0J3HPgbT8OxMZ7YRn6zAMwzA5iX8FRD+gdAjg2i5r+8SJwIQJylmS3Fi9GujUSZR/ihtqaza2BlJjgdingF214n8ORq1w5oRhGIbJewqxY0PAzFH5toICE8LQEBgxAjAyytKjfPstzbF487XR83PHjk7DwQnDMAxTsN6EnJ6PHQOKarxIWpVvvhEdPQoDQ4tMZnDCuhNdRGeDEy1sQmJKAf67YBgVoM9Jdr3JggWiTPPpp0V7zIEDARrK+cUXgKXlm6+R24l1Gp3TnMgt1sn8i8y4GEYR+rsgslvxMwyjQPRDICFA2MQ7Z8zLIu8gav0cMKBoj0nGiDRN3UzBkTsmhkyeVCsTZYfLOjqNzgUnRkZGkjGXfCAdDatTtKxn9DdjQoEJ/V3Q3wf9nTAMkwfyrIlLS8DYIitzQpqRNznoUwxMkpKAHj2ED8pffxX+cbmdWKfRueCEoPkyhDxAYRg5FJjI/z4YhimEvwlRHOUYOTRXi07kLktmbZUzMiGFzZzE+wOp8YBxMa6NUTs6GZxQpsTDwwOurq48nZbJhEo5nDFhmAJITwWCT4jLbp1Edw2JYLPNqwqLD8OQf4egZdmW+Lrd10rDT1WibVvgyBExKLCwgQlh5gSYOgLJ4UDME8ChTuEfg9FYdDI4kUM/RPxj9IaiuKQwINZXnKgGXaYvYFuELxKGYbSD8GtAShRgYifaiD/6GFixAvj+eyVX2PW31+PYs2PSaUarGbA0KULmop2Cf4q8I+jxY6BPH9WzJ2EXhe6EgxOdQqeDE0bFo6T4l8LIKCYjCKHL8vOUaOX9X+0BOp1S12oZhilpgjP0Jm7tAUMjIDhYHKg0bqy020dNPsKT8Cdo69O2aIFJdsLDgV69gGfPgA0bgLffVq1jRwpOWHeia3Bwog+kxCoHHTEKl+NeALLU/O9vUQaw8gZCz4tTakKWSI5hGN00X5NPIf73X+DpU6BcuRzl8yXdlyht2/1wNxp4NICXbRGG/dnYAF27AgcPipZlle7DXie6CgcnugQFHCFnlIOQuKdAYgHCYGoXtK6QcaoI2FTMumxdHjAyF0dOO8sACYFihLpr69J6VQzDlBZ04PH6bM55OhUq5Oh+y94FefzZcQzaMghu1m64MPoCytiWKdxzU3v/smVARATgmM2RNi+4nVhn4eBEV0iOBPbXA1Jj8haPScFGxZxBiIUnUJCYjb6IXFoBL7cCr89wcMIwukjoWSA9SXwnpLkCCQk5Wnz9ovzQ9Z+uGF1/NKY1n5YZpFR0qIiKjhVR160uPGw8ivb89FjywIRajU+fBuLigH79ct+f24l1Fg5OdAW/HSIwMXcFvPopByF0bmr35s8hD05C/gNqFseiGYbRKBRdYefOBf78E5g/Hxg7NnOX1TdW437ofex9vBeftPgkc7uPvQ/Ovn8WViZWhe/cyWuqMbnKVqmSd3Aiz5xQdjg5qni+5xiNgIMTXeHFJnFe5WOg1hcl8xwUnBCh54D0NCGWYxhG9/Qmrh2A08uByEjAzU1pF8qWeFh7oJy9sgaFcLRQLsfMOj4LLpYumNxscuHXQroTal9u3VpkURQN3OSY2IgJxYlBInvi1Kjwz8NoJByc6AJ01CA3TfIZUnLPY19HjCmnNsOou9y6xzC6RFI4EH5VXPboBJwfARw/nqPd19rUGmMbZmVS8uLMizP44cwP0uXmZZujSZkmhVsPWeVT505BDt+UPZGCk0ccnOgQHJzoAn7bAFka4NgIsKlUcs9jaAw4NweCjgCv/+PghGF0iZCTJHUFbKsBlhliVlW7ZnKhlXcrzOs4D8lpyYUPTOSoMnqEdCekg2PdiU6hs1OJ9bKk46OCL0BxlXYoOGEYRvf0Jk7tRXdeNl5EvkCvDb2w5+EelR6OhLJkzvZl2y8ztyWkJCAqMarwayN7exLn5qc7ieaOHV2CgxNth+ZKUPsw4T245J+PgxOG0W29yeYwoE4dYNcupZv/uPYH9j3ehyWXlL1NVCUtPQ3vbH8Hbda0wavoV6rfsX9/oGxZ4PDh3G9nrxOdhMs62g51z1AqlqaHWpUt+edzbgoYGAHxfkDcS2HOxjCMdhPnl+EVYgDsuwo88QUSE5V2ebfeu1KJhhxhi4J/tD/O+59HeEI4nkY8Vd0HhQITKu/cuwf07Zu7S6w8OKGMD0+h1wk4ONF2XmwW596lUNIhjK0AhwZA+GWRPbEaVjrPyzBMySEX1Ds1AS4fBDZuzNG+W8mxEuZ3nl/kp6BW4/Ojz+NuyF209imET9KMGcCXXwIuLrnfTnYJREokkBQKmOexH6NVcFlHm4l9JuZKkKeA96DSe14u7TCMjvqbdATs7YHx43Nv3X1DqP24Z5WemdcDYwIly/t8KVMm78CEoFEalhkZXC7t6AwcnOhC1sS1PWDhXnrP68rBCcPoDFQKketNFC3rM/AN98XUg1Nx//X9Yn3a2ORY9NzQE/029cO6m+ve7MHYxl7n4OBEmynNLh1FnFuK88g7QHJE6T43wzDFS9Q94ROy3xgY/wtw/nwOIezPF3/G1ENTi/VpLYwt0NyrOVysXNCybMZ3Sl48fgy88w7Qp0/ut7ONvc7BwYm2EnUfiLwJGBgDZQeU7nNbuGUcqciA18pfZAzDaKHehDqHT5gAO3YBDx8q3dy1Ylf0rdoXExpPKNanNTI0wq89fsX1cdelmTz5Ym4ObNggLO3DwnLezu3EOgcHJ9pe0vHoCpipOMGzOGHdCcPojt6EGlyWjwM++QR46y2lm9uXb4+db+9En6p5ZC3eAPJC8bTxzLx+PfA6+m/un9MLhTp2Fi4ETp0C7HKZn8PtxDoHByfaWiN+qaaSjhwOThhG+0lPBYLJGRZA6+HATz8BVlZqWUpqeiqG/DsEOx/sxMxjM3PuMG0a0KoVYGxccDsxo/VwcKKNUDkn+iFgZA54Ff/RTKGCk7BLQFqSetbAMMybEXZZTDM3dQDs6ynd9CT8CZZfXl40R9ciYGxojE2DNqFLxS6Y23Fu4e5sXV74L6XFAwkBJbVEphTh4ESbhbCePQETW/WsgdKoZi5AelLWsDCGYbRPb3IKwHYX4PkLpZtWXF6Bifsn4v3d75fachp4NMCh4YdgZ55L6Ya4fRuYMwe4eVN5u6EJYFVeXObSjk7AwYm2QSlLdXXpKEIujFzaYRjtJvAIsB/AxkfAoUNKN9VyrYUaLjXwXr331LK0kLgQKUBadH5R1kYKTL74AtiyJecduJ1Yp+DgRNsg07W4F4CxNeDZQ71r4eCEYbSX1DjRbUf+jT06AkOHKt38Xv33cGf8HfSorJ7vmQehDzBh/wTMOTNHmssjMWAA0Ls30LBhzjtwO7FOwfb12oY8a+LVFzC21JDg5CwgSxdOtQzDaAchdFCRArQtCyw6kutMGuqmof/UAXmgUBszzfJJSkuCpaGl6CTK1k2UCbcT6xQcnGgTdPTwcov6SzpyHOsDRhZAcjgQ/QCwq6HuFTEMU9h5OuQKqxCY0FA+coXtWKEjDNV4wGFiZIKDww+qfgduJ9Yp3ugvb968eVJkPWXKlMxt7dq1E9G2wunDDz9Uut/Lly/Rs2dPWFpawtXVFdOnT0dqauqbLEU/oPJJQiBgYg+4d1H3aoQIzbmZuMylHYbRLnZuA6iL2FrZnfWXC7+gyz9dMGFf8ZquFSuxscDFi7m3E8f6igM5Rj8zJ5cvX8Zvv/2GOnXq5Lht7Nix+O677zKvUxAiJy0tTQpM3N3dce7cOQQGBmLkyJEwMTHBHBI7MQWXdMgR1sgUGgGVdoJPiBRxpQ/UvRqGYVQhMRT45ynwFEBFP6BW1k02ZjawNbNFv2rKU4nVBfmfnPM7h5ouNeFk6QQ8eQLUrAmYmAi3WPmAQsuygKEpkJ4MxL8U7cWMfmVOYmNj8c477+CPP/6Ag4NDjtspGKHgQ36ytc1qdz18+DDu3buHf/75B/Xq1UP37t0xe/ZsLFu2DMnJyW/2anSZ9BTA71/NKenIYVEsw2gfgceAJgC8zYD3Jyrd9H2H7xEwLUDyG9EEuv7TFW3XtMWuh7vEhooVAScnwM0NeKHQ/mxoBNhUEpe5tKOfwcnEiROl7EenTjknWBLr16+Hs7MzatWqhZkzZyI+Pj7ztvPnz6N27dpwoz+sDLp27Yro6GjcvXs318dLSkqSblc86R1Bx4GkUOEt4tYeGgOVdaguHfcMiH+l7tUwDKMKr08Avcnf5EPAxSXHzVamVmrVmyjSxrsNnCycpCnGEqSPuXFDZFCqZJRy5LAoVn/LOps2bcK1a9eksk5uDBs2DD4+PvD09MStW7cwY8YMPHz4ENu3b5duDwoKUgpMCPl1ui035s6di2+//RZ6jdyu3vstwFCDdMxkAmdfF4i4Lrp2fAare0UMw6gyT4dw65i5yS/KDynpKajgUAGaxKctPsWsNrOkQYGZuLrmvrOijT2j1RQqNPbz88PkyZOlzIg5TYnMhQ8++EDKhFB2hEo/69atw44dO+Dr61vkRVL2JSoqKvNE69AryB7eb7vmlXTkcGmHYbSHw1uBy/R9bAi4tc3cPO+/eai0pBJ+OP0DNAnK4igFJtlJUxC/shGbfgYnV69eRUhICBo0aABjY2PpdOrUKSxZskS6TGLX7DRt2lQ6f0IpOOpac3dHcHCw0j7y63RbbpiZmUm6FcWTXhF4EEiJBizKAC7KynqNgIMThtEeZn0BfA/gP2+l8Rch8SGQQYamXuI7WxNJSlWY4/Xbb6Kss3Rp1jbOnOhncNKxY0fcvn0bN27cyDw1atRIypDQZSOjnNEtbSc8PDyk8+bNm0uPQUGOnCNHjkgBR40a7JORK5l29UM00+hMHjDRQEIKohiG0UzIssE9DbAA0L+v0k1b39oK34990aF8B2ga917fQ9M/m6Lh7wrOsHFxwOPHwIEDOTMnpIFL4wYLbaZQ4gUbGxtJ5KqIlZUVnJycpO1UutmwYQN69OghbSPNydSpU9GmTZvMluMuXbpIQciIESMwf/58SWcya9YsSWRLGRImF4tp/92aW9IhLMuIoVv0hRB6AfDQDJU/wzDZMDIERsUAAwDU6Z/jZk3Tm8jxtPHE1YCrSJOlwT/aH162XsIp1scH6Nw5a0cLD8DYSnxv0veRbVV1Lpt5A4r1MNzU1BRHjx6VApBq1arhk08+wcCBA7Fnz57MfSi7snfvXumcsijDhw+XfE4UfVEYBV7tFWPArSsAjo2gsXBph2E0n8g7QNJrwMIy00DxddxrxKdkdVRqIvbm9tg+ZDv8p2YEJkTZssDAgYBimZ86ebhjRyd447aPkyfJYlBQtmxZSYNSENTNs38/jcJkCkRxAnEusy80BtdWwPO/OThhGE3l3j0gZJu47NoaMBKZ6lnHZ2Hz3c34pdsvGFVvFDSVPlX7qLYjBScRN1h3ouVooICBySQ5CgjYr9klneyZEyrrkGEcwzCaxbRpQMfvgNMZ83TI21GWjouvLiIqKQo+9j7QOhISgD/+AN57D5DJxDYWxeoEHJxoMv67hBUzDdSzU9b6aBy21QBTRyAtAQi/ru7VMAyjSEoKkJQI0O931Sx/EzJauzbuGo6PPC5N/9V0Dj05hNG7RuPEsxNiA2WTabbbmjXCmI3gdmKdQIPcvJg8SzreQzS7pENQFxF17bzaI0o7zuSNzTCMRkBzaDZ/D2xuDXg6AQ51M2+iAKV9eQ1ync6HnQ924q8bf8Hc2Fysmfy2Pv6YZqZkOd1y5kQn4OBEkwdzBR3JaiFWldBQYPp0YOFCwNERpV7akQcn1aeV7nMzDJM/wccAJ8qadJAOJkgEa2FsIU2O1xaG1BoiBSaDagzK2jh3rvJO8sxJvB+QGg8YZw2eZbQHLutoKv7bAVkq4FC/cO1wVHulFOfQoVBrx468/sswjHoJDKQBZVmW9Rl6k4/2f4TaK2rjiG/GQZAW0K5cOyzuthgtvfMxozRzAkzsxeXYojuTM+qFgxNt6NIpiNhYkdq8fh2YMweoXRtYtAiljmNDwNBMtCpySpVhNIMJE4AynsDBc+K6W0ckpyVjz6M9uPv6LixMyJFNyyF38vPnhe6EMkG2GaUdbifWWjg40UQSAoHgjBZtbxUG6W3eLCyc334bIJM8+oDWrJl1e0AASgVqTXTK0JpwSzHDqB/KmND3QVg44JYOWJWTPJNMjUzx6KNHWNN3DVqW1cCRGPkgk8nwIPQBNt/ZnLWRfLJatADmz88miuWDJG2FgxNN5OVW+ggCzs0B63IF70+ZkiFDpCMkqZhiqPC2PnwoApXJk4V1dUnDZmwMozmQ6zZZvP8xGCDvMveOmeJ6MjYjXxNt0pwQzyOfo/qy6hi+YziikzLGZZBLrL09YGeXTRTLmRNthYMTbS/pEE2aIHn9OjSxXI9GfzRCbHJs1m1kkhcZCVy5wsEJw+gjxsaA5wNx2a2TlHnQZso7lEdt19poX6695G4rQVmT16+BFSvEdc6caD3craNpxD4HQs9Tby7g/ZbKd9vzcA8uB1yGu7U7rE2ts24YN47GPdPERdF2V9K4NBdrpy+FhGDAwq3kn5NhmJxQEEJZkcQQIPKW2ObeAWN2j0F4Yji+afsN6rpntRRrE9fHXYeRocKgWcoWK2aM5ZoTDk60Fs6caBovt4hzt3ZiiFV+JCYCS5ZI7cN9q/XFqj6rsKDzgpz79e0LuLpmXV+3DvivhDIbpg6AfYZhXOjZknkOhmEKhr4bmjYFVnwrrtvXQYyBBTbc2SD5hSSmJkJbUQpMshMVlZU5SQzmSelaCgcn2lzS2b5daElatICxgRHer/8+htcZnmlLPWrnKKy/tV75PufOAaNHAx07AjdvlmxpJ4RLOwyjNmh+2aVLwIur4rpbR9iY2eDK2CuY02EOmpTRfqNECrAydSdUtm7bFnByAoKjAfOMAzLOnmglHJxoEtT2FnEdMDAGvGimeQHY2AD16wPvvJPDQXbD7Q1Yd3Md3t/9Pl5Gvcy6oW5doE8fYNAgoE6dEngRrDthGI3gr7/EqYa/kr9JTdeamNl6ptYJYbMz58wcOM13wpKLS7K0NWTTT23FlBmWi2K5nVgrYc2JJvEiozXOvTNg7lzw/r17I7F7Z/Te0AuDr/4hKe+pRZAYVnsYrgdeR32P+vC28866j5UVsHWr+BDLv5zow0wth2QBXZzBScQ1IDUOMLYqnsdlGEZ1ypQB3moL7H4lDnhc20CXcLZ0llxuL726lLXx119F5sTHB7hwWBwgceZEK+HgRJPEay82FnoC8fb723H02TE8DHsklXUU52Us7LpQad+w+DBYmVpJ9s9Si6Gczz8Hjh0Ddu8GvKjf8A2x8gYsywr76NCLkgiPYRg1IHeFdW6Gj4/+T7Kr/6jpR/CyLYbPuZohC/umZZqijptCBrhBg6zL3E6s1XBZR1OIugNE3wcMTQGvvvnvS1mPAwekjEeXil3wU+efMKvNrHxFYnHJcei+vju6/N0FEQkRWTdQ+93atcJdlhwWiwsu7TCM+vjiC2DLFuDFIelqqENz/Hb1N8w/Nx/BscHQBRwtHKVuozzLU9xOrNVw5kTThLCePQDTDCOhvNi7FxgwAGjUCM6XLuGTFp8U+PAPwx7iUdgjGBsa43X8azhYOIgbaJInieYOHgTeUr11WaXghDJBHJwwTOni5yfGWFBr7V/2gAlg79UDWwa1xPFnx9HQsyF0GjrQWrkScDEFamRoTuRt1YzWwMGJxpR0CtGlExEh6qrUcaPiB66BRwOcee+MVKOt4pSR7pRTrhzw4YfKs3r++Ud4pBT1Ay3PnJBnS3oqYMh/agxTKtBndto04NUTwGS3NO/K2KUF+rqbSpYDukRMUowkjD3rdxbHRx2XDr7w/Dnw++9ApYoAdVGnRAJJYarp+BiNgcs6mkD4FSD2KWBkCZTpVfD+77+PhOdP8H5Df5x6fkplx8fabrXR1Ktp5vU7IXekIykl6LFGjADGjxdtykXFriZgYgekxmYZQDEMU/KQbmzhQmBexoGOQz0gQyiva9DQQipXnXl5Bhf9L4qNnToBkyYBS38FLMqIbVza0To4ONEE5FkTrz4qd7Zs9d2N1ffWS14m5GlSWAJiAtDtn27S6dATUZfOPOrq0QOwtgaGDkWRIf2LcwtxmUs7DFP6hF2Wzr4KTcOf1/5UHmuhI1CmZHb72Vg/YD1qudbKsligQajdugG2VcU2FsVqHRycqBsKLOQtxAWVdKjl95H4kDX0aIgPGnyAKc2m5O+WmI+YrEXZFqjkWAmNyzRWvnHsWODZM2F5L6coc3lcWRTLMKXKq1fA/fsiAxp+BcGpwFzf6xi7Zyx8w32hi0xsMlGyTrAzz0Wrx6JYrYWDE3Xz+iyQ8EqUQDy65b/vkSNA1apA//6SkdJvvX+TgpOiQO3EmwZtwql3T0mBSg6cFeqz/v5isvGePUXv2NHyYWMMoxX88QdQo4bQkEVcg7kBMKflZAytNVRr5+gUmSdPgJ3BQAJnTrQRDk40paRTtj9gpOA9khs3bggFvreCqdobQF4oLlYumdf3PdqHYduG5Zy5MX++yNjMmlW4DIpjY8DQBEgIBOKeFcuaGYbJh+ho4WFUq4xkgGhnZoXp7edjw8AN0GVC40Px982/lTV03bsDc3cCdzhzoo1wcKJOqIvl5VZx2VuFLp3PP0fck/v4tpOxsiV9MUDzKUbsGIGNdzZm2UHLIXHd9OnArl3CIlpVjC0Ax0biMs/ZYZiSZ9EiIDwc6JAxDdyhgdB/6TgrLq/AyJ0j8eulX7M29usHtGkGmGUEJ5y91So4OFEnwSeApNeAmbPKLqqbI//DN9cWofPfnVXu0lEFWzNb/Dv4XwyuORhTm01VvtHERGRPqOW4sLAZG8OULjSGIv42TsYDJ2XuSElLga7Ts0pP1HOvh0aeGQdDBH1nHT8F1DUUYzQog8toDRycqJOXGULYsoNE+SMvKAgh7xFKsNh5o125dhhTf0yxD+7qUL4DNg/aDBOjrLUExuTygS5MaYeDE4YpHdIVuvbCL+PbcKD9+a34/erv0HXIx+n6uOv4X+v/ZW2k70dqobYqL65zaUer4OBEXaQlAy+3qdalc/o04O4OTJmCThU64cSoE/i0xaclvsRF5xeh2rJqOPHshNhw5QrQsqVo0VMVeTsxWfMnhpbMQhlG36EDGBLC9uwJPPeFLPwGKpgALhaO6FapEJ9XXcS8IvCaRbHaBgcn6iLosHAutPDMyi7kBQ3ki4sTpwxKetx5Wnoadj/cLWlRrgZeFRsdHIBz54BTp4CYGNUeiFwZbauLy6HnSm7BDKPPPHgAPHwIHD8OmATDQJaMVV72CPo0BBUdK0JfoFI3mUtmcvgw0P8EsIwzJ9oGByfq7tLxHlywYO2nnxBz/CD+GVQlZydNCUHeKQeHH8TqvqvxSfOM2T0VKwJ//w08fSqMjlSFSzsMU7JUqwbcvAmsWQMkZPw4OzWCoR6IYeWQtqbcL+VQe0XtLE8XyibFpwCUtA29r+4lMoWAgxN1kBoP+O8Sl32GFLy/gQE22r7AiAufocNa1YSzxQF5obxb793MLA19+Pc2sQfKli3cA7m2FuchZ0pglQzDSPqKOnWAIUMgC72E1yQLk3fK6QmklavgUAFWJla4Lw9EyMr/2EqAGhCTn6p7iUwh4OBEHQTsFzNnrHwAp6xZN7nWkTM6ckyNTCUx7KAag6AOqLzz4d4PJafJQncJyTMnEVdFYMYwTIlxP+AsXJ8BrS/sKtaOPm1gbb+1CPssDL2qKMwoa9JF/NLFPAHS09S5PKYQcHCiDhQnEOenHSEBKjnC/vKLlMF4+vFTTGg8AerAzMgMm+9uRnBsMB7u+AP44ANhCqcKVuWEtiY9JXPeB8MwxcT585IHEi5cAFITcCnkobTZysK1xLVpmgYdwJkZZzOztPQGDE2B9GQg3k9dS2MKCQcnpU1KNBCwT7UuHaofP34MXL6cqQOhUos6oA/87qG7EfRpEKqtPyRsssmUTRXoC5J1JwxTMmzdCvz4o/hMRt7Eu7YyBFRzwuLuy6HPZGaNSHdz2B74AsCxHepeFqMihbD7ZIoF/91AWqKYlmlfwKyLH39EdL3quF/OGk1kMrUfBZEPisTw4UCZMkCXLqrfmYKTl1s4OGGY4qZTJyAsDBgwIDMz6eHWFB6uNaCPkIX9nDNzpCnFP3f7WWz0MwGeAzhwEOibzWSS0Ug4c6K2Lp0CSjqEtTX+rmuAZufew9BtQ6Ex9O8PLFmiPLW4IOSZE2on5rovwxQfPXoAa9cKj5PwK1lzrfSUhJQEHHt2DDse7MjKnrzdChgHYKCPupfHqAgHJ6VJUjgQeEj1Lp2MgVak92hRNsPMTM0c9j0szeDZ+WBn4e5oXxswthFlrSgFHwKGYYqNr27vx7tBwJV0O+gr7cu3x6Iui3BkxJGsbHPbDkAbqhX4q3t5jIpwcFKa+G0HZKminGOXYUyWG3fuiKOh3bvxdbuv8WraK7xf/31oAiefn8Q/t/7B1ntbxUjyfRn6mYIwNAacMzItXNphmOLhzBkgJES6KEuOxt+vQ7E2Bgg0coK+YmliianNp6KKU5WsjTaVxTkbsWkNrDkpTeQTiAsSwv75J3DgAGBhAfTpAydLzfmioVZmco/tZ1AdqFwZsLUFQkPFcEBVSjvkjEvBSZWJpbFchtFd0tKAvn2BiAjg+nXAPRJ/ugEHkq3RvuoAda9Os7CpAiRQZ5Mv8OQnYFrJj/9g3gwOTkoL0lmEnhWXy/TMf99JkxBjboD4Dq2RMfhcowZs0Un6YvT8QjhTvn4NeHoWfGfXVllmbFQL1rM2R4YpVoKCsiaF16oFg8e/oKMl0LFKZ8DUGvoMaU2OPD2CfY/24bv238GOrAxCzYFfEwHLr4AJkwBz9XQ+MqrBZZ3SgnQWNLabdBe2BajoK1XC6v7l4XVxCL44Rv1vGoiREfD8OXDsmGqBCeHUBDAwBhJeAfEvS3qFDKPbUMfctWvAixeAsXGWh5CTfjnD5gZpTSYfnIwll5ZIQYp0IFSrClATwKgeQAKlURhNhoOT0iL0gjh3blrwLB3yXwu4gtT0VJSxLQNNPCq5HXwbf95eW7g7GlsBjg3E5RDWnTBMsWBjg/iUeCy8fxR3kwCZAwcnxMg6IzGm/hiUty8vNthWAf4H4OOWYogpo9FwWae0CMsITpya5b0PCUyXLgXGjsW6/uukgXvlHTI+WBoEdRDVXVkXMsjQvVJ3lDFzFmUeS0vVdCdhl4TupPw7pbFchtE9UlNF9jKjNHrq8V58GhCGJcbAc8eG6l6dRjCz9UzlDSyK1So4c1JahJ4X5/KOldxYtUr4h0yfLl2t614Xtma20DRcrFzQrlw79KzcE9ELvgecnYWbrUp3ZqdYhnljdu4U5dSvvpKuWib4oZsl0N/BDgbmmiOg1ygoc0JEPQRu3waCg9W9IiYfODgpLX+T6IdZZZ286NIFCQP7ImXcGGg6x0Yew95he1GdhhfGxgJnM8S+BeHSMkuDkxxRomtkGJ3l6FEhiI2Jka62NU/CgTLAz3W6qXtlGodflB+uBV7LypzMviAmOK9fr+6lMfnAwUlpEHYxq53NLJ+jmvbtsXxaa3j7TsLvV3+HJpNpbjRyJHD1KvD336rd0dxV/DsQr8+V3AIZRpf55RchRqcBnERYhjOsk/46w+bG1rtb4f2zNybsm5D1veMTL2wawsPVvTwmH1hzUqpi2Hz0JhnsergLQbFB0BbinO2QYG8KZ8NCxLlU2ol5JEo7BbVVMwyTEzMzoIOYdeUf7Q+n0EuwoCuOLIZVpKV3SxgaGMLY0BgpxnYwMbED2kUBP54GPPjfSpPhzEmp6k3yCE78/YFly4DISBwdeRRb39qKobU0aJZOHiw8txBO850w98zcwt2RdScMU2x8uOs9ON55hS1U4ZF3wzESnjaeCPssDP+9/x9MjE1F9oTsTVLZykDT4eCkpJGlZ5V18hLD/vWXZLyGwYNhamQqubDamNlA0/G280ZSWhJuv7oGzJoF9OolzNVUDU6oa4cmNDMMozpffAEsWCBpTtJl6XgSdh+JMqAadfaZaP73Rmljb26fd8cOdRkyGgmXdUqa6Adi2B15fNjVyn2fChWQXqsmDEeNgjbRvXJ33JtwD9UsyoqOnaQk4N49oCY5HeWDTSWhPUkMAcKvZolkGYbJHzIPW7QISEwEuneHobs77rcfjXvXvkMNr4ygn8kV8o0ytK4kjsifXAemdQMePQJ8fdmtWgPhzElplXRohDkNv8uN4cPx04oRaJ7wKw48PgBtwdrUGtVdqsPA2hr4+msxtt3Lq+A70hcBl3YYpvDQkf6PPwLDhmUeBBhEXEFNM8CAxbB5Mmn/JLgucMVZSjERRv7Af/8Bz56JtmJG4+DMiQaIYclxdfXNNXgQ+gCBsYHQSmZmMzwqCApOaEozOcXWmFFSq2IY3YIOBD7+OOs6lVHDuVOnICISI6TT4dBXaE0bknyFNxMFeNXzmRDPqA3OnKjTfI2m+R4+DAOZDCdGncC8jvMwpOYQaBOJqYn45NAnqLeynmShrTLyzAkNQyRdDsMwheJ55HPUXl4dM/1DIIMRYF9X3UvSWKa3mI7/3vsPX3f8UWxIDAL6duHARIPh4KQkSY4Cou6Jy065mK9R5N61KzBoENyt3TGj1QxYmVpBmzAzMsO2+9twM/gmjt/aBWzYAFzIyBblh0M9wMhSGLFF3S+NpTKMdkPTvw8ezBxad/DJQdwJfYj/EgADh9qAsdRMzORCPfd6UluxsbkzYOYiNsY8UfeymHzg4KQkoW4UyACr8oCFW+71Yzs7oEcPaCtkxja7/Wyp/bnNxnPAO+8AK1cWfEdDk6xSF+tOGKZg9uyRRLDkJE0MrjkYGxv2wWcOGZo2pnA29tGPgJs3gWnTgNWr1b0qJhusOSkVvUkeLcQzZmBRc+Dm65OYFtRYmqWjjYyoO0Jc6OkEHDqpeqqUSjvBx0VwUnlcia6RYbQeOpgpW1ZykiYcLRzxtkUcYE2ZWTYUK4hX0a+w5sYaxAfF4AejjHbi/8KAxYuBFi2A995T9xIZBTg4KY1JxHmIYdPS07Dk2gq8iHqBjpW6aG1wkgl9aRZG+c4dOwyjOmPHAmPGAMnJOcWwnDkpkJC4EMw6MQtWRqb4qhxgRi7V/eYBFy8CAwaoe3lMNjg4KSnoiyOvzEl0tCSGNSxfHpsGbZKi+bdqvKWWZRYXwbHB2Pd4H5wtndGnah/V7kRBm4EhEPcciPcHLFVoQ2YYfYba8M3MsPH2RiTHvkTPxCg4m5gB9nl4KDFKupMRdUagpZUF0kJ+F5mTMmWAdevUvTQmF1hzUlLQH35yOGBkDtjXUb6NPgwVK8Jg0iQ082qGlb1WwsJEu8VsW+5uwejdo7H4wmIRmJG5UUGQm6V9PXH5tYpTjRlGH8kQwcqZ898cvHv4cxyNzxCXk4aLKVAft67/OoxrPAGW9MtHmRNGY+HgpMTN1xoBRqbKt9EPNx0BVasGXaFnlZ5o7NkYnbzaAj4+QNWqYqR7QXBph2EKplMnoFYtqQRBlvX9qvZDYzs3dLbkYX+FhhyqCeoUTAoTl4ODgT/+AKKi1Lo0Jgsu66jDfG3JEizv4YIIoxCMjg2S2oi1nQoOFXBpLHUnAXDdKzxcSH/iXsBrc20FPFrCwQnD5EVcHHDlitCaeHhIU3Znd5iN2WmngNfBbL5WSGLTZTia7IjGhuEoQxluMycx4ZlGb5DJ3VDNH7qqD3BwUtKZE6dmuc54mHPvN7yKeYXy7tUxrPYw6BSbNwOenoCFCqUq54y5OpG3hC+MqV2JL49htAorKyAwEDh7FvD2FtvS04CIa+IyZ04KxYDNA3DkRTh+dgYmUzsxHUD27Sv+nVX5zmJKBS7rlAQpsUDU7ZxiWBrWFRcn2dXP7TgXPSv3xMDqA6FLUMr5knkY0s3NVLuDpSdgXUG4xMqzTQzDKOPoCPTujZS0FFwNuIp0MndMjRMDRW11pzxcGnSt2BUVLW1hZqAwnfj774FLl4B+/dS9PCYDDk5KAmrvox9by7Lix1cOuad6esJk3nzJG2TvsL0wM1bxR1wLoKCr8tLKaPpnU1wLzDiqUwXWnTCMSpz3P49GfzRCnbXdJd05HBoAhmTawajK5GaT8bjnl/jQXkEUa8g/hZoGvyOlOU9n2zbRRmxsrLNq+LpudWFrZounp3YKa/4vvyz4jhycMEzukHieNBB0YAPgReQLaRp4PSsrSVPPepPCY2xoDAO5S6w8c6JodPeEbe01AQ5OSlMMu3s31v37Jba0cUJyWoaRko6xoucKhE4PxWDD2tJQQ2zfrnpwEnYR0NF/F4YpEgcOAJs2iTlcGW7MYZ+FYZFHxgwu1psUDZvK0llYxENhfUA8eCAJjiW3WApSGLXCwUmJmK/lLoZNQTo+f/4nhhwei90Pd0MXcbN2g4mRicia/PSTyBYVBNXMSTGflgBEXC+NZTKMdkBdJLNmAe+/n7mJjAlcY+UDRTlzUhQeJKag8nOg/rN4yBICxcaKFYHUVCAlBfD1VfcS9R7drC+ok7hnQNJrwNAUcGygdFNSWhLGNBiDvY/2qu6iqq3Y20M2bZpU6ikQ2oe6dl7tBkJOA865THBmGH2kdm1xytB0SZ+nqDtAehJgYg9YV1T3CrUSH8fKeJVqgDTI8OLVcZSrPBwwMQH+ozlflcVlRq1w5qS4eZ2RNXGoDxiZZWVTBgyA9dyF+K7+NFz94CpMsxuz6RCnX5xGm9VtMHLnSNXv5NpWnIecLLF1MYw2Q5+nDms74L8Hm8QGGvanSvDP5IAcuQ816oLQCkC5qMtZN9SowYGJhsDBSYkN+1MQwz58COzYAcyZI/3hq5RN0HLB2ZmXZ7Dv0T6kHT0MfPIJEE8+2/ng3kGcU+YkPaVU1skwGs2xY8J8LT1dGhJKGdcTz0/AKPqBuJ31Jm9E6zoTYUO/gH7bRHdlduRaFEb7gpN58+ZJP7RTpkzJ3JaYmIiJEyfCyckJ1tbWGDhwIILJGliBly9fomfPnrC0tISrqyumT5+OVKr16aoY1s0NT1b8gFv/Gw2ZJflN6zZNyzSVhLFXx16B0eixwKJFwIkT+d+J5g+R7iQ1FghTOJJhGH2FvlcbN5Z0W0aGRrg89jKW9ViGJukvxe2sN3kzPDoDxjZAwisg9GLW9t27gVathPcJo33ByeXLl/Hbb7+hTh3loXZTp07Fnj17sHXrVpw6dQoBAQEYoDCOOi0tTQpMkpOTce7cOaxduxZr1qzBV199Ba0nlQSdN3JmThwc8LN3AOpiBT478hl0Hfoi/bDRhyjvWAEYORJ47z2hgs8Pmk7s2l5cDj5eKutkGI2FrOorVZK0W5IoFkAlx0qYUP89GJHmhODMyZthZI6DZg3RJwBYeUbB8iAiQrjxqiLmZzQrOImNjcU777yDP/74Aw4ODpnbo6KisGrVKixatAgdOnRAw4YNsXr1aikIuXBBZBQOHz6Me/fu4Z9//kG9evXQvXt3zJ49G8uWLZMCFq0m/CogSwUsPIQBmwKUlrUwtkBrn9bQK2bPBv76C2igLA7Ot7QTdKzEl8UwGo2pqSgF04wqJ6es7ZE3AVkaYO6a4zuGKTwPzMpjTxyw6el/WWWc3r2BpUuBPXvUvTy9pkjBCZVtKPvRiSZlKnD16lWkpKQoba9WrRq8vb1x/rwQitJ57dq14ebmlrlP165dER0djbt37+b6fElJSdLtiieNRLGFWK4rode0fTtWtJ6H8Bnh6FapG/SF/Y/3Y/ze8fCP9lftDm4dxXnoOZGFYhh9x8gIIXEh+PjAxzjw+EBWyZOyJjquXSsNBjT+HN86m2CJU5Jw9paPCpg0CSjLwZ9WBSebNm3CtWvXMHfu3By3BQUFwdTUFPaUilSAAhG6Tb6PYmAiv11+W27Qc9nZ2WWeymrqH01uYlgyTxo4EJg8GebG5jrdpZOd2adnY+XVleJLNSAAuHWrYGMkizJAerIIUBhGHyEDsJiYzKuHnhzC0ktL8cXxLxR+QFlvUhx4O1XBV3X7ow41Vr78V93LYYoanPj5+WHy5MlYv349zM3NUVrMnDlTKhnJT7QOjTZfUxTDursjpVoVoJv+ZEzkjKo7ChMaTUC9m0FAmTLARx/lfwc6EnTj0g6j51y9Kko5GUPoqjlXw7iG4zCy7siszAm1ETPFg/cgce73r3KHDrnzjhkDZGvoYDQwOKGyTUhICBo0aABjY2PpRKLXJUuWSJcpA0K6kcjISKX7UbeOu7u7dJnOs3fvyK/L98mOmZkZbG1tlU4aR7wfQE6DBsaAY8PMzQkfT4DruyHokvIXIhOV/110HRLFLuu5DI3bDxeBBx0RFmQL7Z5R2mFRLKOvnDsnXEqNxEC/xmUaY2WvlZjScDTAbcTFjsy9Gy4km+Hz508RG6yQsaUmjVWrRPcOo9nBSceOHXH79m3cuHEj89SoUSNJHCu/bGJigmPUn5/Bw4cPpdbh5s1FqYPO6TEoyJFz5MgRKeCoQQY42oo8a+JQFzDOahc+53dOCkruh96HnZkd9JLy5YHXr4X7YsYXbp64ZXTshF8GkqNKZXkMo3EtxDR8jsTkioTTpG8ZYOkFWOR+IMcUARNrvBNsjB8jgEPXFmVtHz0amDABaJh1sMloqH29jY0NatWqpbTNyspK8jSRbx89ejSmTZsGR0dHKeD46KOPpICkWTNR6ujSpYsUhIwYMQLz58+XdCazZs2SRLaUIdF+fxMFvUlICDqUa497E+7BL9pP583X8uJpxFO8in2F1k4qdCpZeQPWlYDYJ8KQzat3aSyRYTQLmvNC2eqAq3C2dIaPvQ/rTUoI+l4eWbUbHvhuQ5noS6K0Q9/VH36o7qXpNcXuELt48WL06tVLMl9r06aNVKrZrjCZ1sjICHv37pXOKWgZPnw4Ro4cie+++w5ajTw4kQ/7o/JFjRowqFQJ1WPM0KViF+gjJIatuKQiRu8enfXvkp6LG6MiXNphGImJ+yei3C/lsPnOZtablCBf9/wLG8uYoVm6v5hdxGj/4L+TJ5VnoZBQljxL6JQXPj4+2L9/P3SGtCQg4pqyGPbxY4Banql2rKndRaVAS++Wkr+Lp40nYj76ADabdgD79gFNmuR9JxLFPvmNgxNG//j2W1ECHTcOqTWrw8zYDEYGRtLnCE+/EPtw5qT4MbEFPLqK4aPUtWMvhi1KPH0K3LsH9OqlzhXqHTxbpziIuC7aX81cAOsKYlu1athy/k98srQXLodkuMbqIbZmtgj9LBQn3z0Jm6AIYSp18KBqupPIW0BiljaJYXQaKieQYSEd2Pn7SzOqTr17SvJH8jKzBGJ9xX4KgnumGPEehNA04Pz9dVnbbtwQJbZhw8hwS52r0zs4OCkOFFuIFXQlfz/aikXPNuDYM/1ui7U0yRAIf/YZpdqoNzz/O5i7iFk7RDBPKWb0KDj55Rdg/HigbVulAF9ynyasKwJmjupbow5zXuYOt6fAoMfPkR6ZUdqh8Sze3mLGEbcUa1dZh8lDDAtgbIOxcLV0Re8qLOokUhrUk85NjFQYSU6lHcqcUGnHZ3DJL45h1I2hofA26dcPMpkMaempUvYks3uN4BbiEqOBdxtYGRnD1TgVIY/Xwb3xfPGePHpEfhbqXp7ewZmT4iC7+Rrpafr0QZ8bCVjVdxVqutaEvjPl4BQ4L3DGwScFlHTksBkbo8dcC7wGlwUuGLN7jNgQltGpw5OISwzS9zwbuBjXvQH314cUbuDARB1wcPKmxL8SBmw0VVcuVNu1SwyNosmWjERqeiqik6Jx/M5uYN484Jtv8r+DW1vAwEi0FMdljIhnGF0lMRH47Tfg+XPp6pGnRyR/pLCEMHE7Z05KBacKw4SRJmVtox/lfI9oYjFTKnBw8qaEXRTndrUlMx+Jjz7C1u+HIWBAZ7UuTZP4uOnHuDTmEhZ6jRaak0WLRCdTfup5+Rdx8IlSWyfDqAUyKCRfjRYtJO3J9BbTce79c/hfq/8BCUFAPA3PNAAcVZjuzRQd0vO4d0S6DEh8vilrO4mUXVyAH35Q5+r0Cg5O3pRc5um8LGuLwakb4H26v5QtYIAqTlUkG27Dxk2At98W2ZPU1PzvxKUdRp9o2RLo2VMS1RsZGqF52ebSZybTfM2uOmBio+5V6jwrEpzh9QxYdPm3rI00WiU2FriYcTDKlDgsiC0BMezruNdoUqYJzIzMhNKeyYIEZhs3qrYvmbHdmytEsXLXRobJDvlQWFsDrq7QWjp1EifFwXNy5HoTLumUCkaODRCYth6HwwLwv1j626ogBrdSYNKI34PSgjMnb0JactZRjTxzsnYtGj6Jw8VR/+HYSD7iVyQwJhDfnPwG4/eOV+0Ozi0AQ1Mg4RUQ87ikl8doIzSDhmZy+fgAf/4JrcfAAPP+m4fvTn2HZxHPsulNWAxbGgyoMxIHatbDIU9Kg28TG62shHEkHVwxpQL/S78JJJpKSwRMHQCbKsKkhwZFkUfB/fuqtczqEYmpifj21Lf449ofiAx7JUTDgYF538HYQgQoRDAHekwukEHW0qVCrFi9OrSSsLDMEie1EC+5uARfn/wavhG+IpMiPwBi2/pSgWYZdas7Dmb06+j3r7qXo7dwcFIcehOap0Mlh8hIxPbvifQ6tYHaCvbHjER5h/L4uMnH+KP3HzAZNkJqt8a2jCOTgubsBLGVPZML9LkbMwa4cEFoNuTs2EHjzqEVTJwoxJYbN0pdbd+1/w5Dag5BK+9WohOQXJKpg8S+rrpXqj949RcC5LBLQNwLsY0Cxe+/B+rWBZ5lZLWYEoODk+LUm7i5Yfao8nAbHoiVVxXEVEwmv3T/Be/Vfw9WHbsB5coBxsaqiWJDTgCyAgYGMvoboDRtmnU9JkZ0vnTpAigMHdVI6Afv2jXpwIZmcFG2dUyDMdg0aBPMjc2zsib2tUQmkSkV0s1dsCS1Ajr6A+FP/s76Ozt2DLh1C9i5U91L1Hk4OHkTwi7k6NT5z+8/hMaHshC2IKZOFULGgsaSk+mUsTWQFCbKaAyj2H47YwZwPiODKYemXg8dKrQomj6sjX7w7t8Xr0ExwJIjn0TMepNSxdDAEH+GJ+B4ArD3ztqsGz79FFizBhg5Up3L0ws4OCkqlGolJTel/pyaiDaz0FCcHHVSGtbVo3IPda9QYyFzqS2PduBx+JOCdzY0AVzbiMtc2mEU2bIFmD9f/FgoYmcH/PwzcP06YGqalaHo3x9YsEBzBrglJwutjJER0KwZYtITse3eNkQlRmXtw3oTtTGtxadY5Ax0SH0izDYJavUeNQpwclL38nQeDk7etKRjVwMwtRPaCVdXmIz5AG182sDe3F7dK9RYxu4ZiyH/DsH62+vFhoJcF+WlHWopZhg51N5JPxQDBuR+uzwwIUh/Qqn4r77SjAFu5JBMrc8bNmRuIlfYQVsHocVfLbICqsw2Ys6clDbvNpmKqVVawov6Gvw0vDyog3BwUlzma3fvii+TMmXUuixtoEelHqjuXB3OMWlAtWpAvXq5+zvk0J2cAtLzcZVl9IsePUTWpGvXgvft2BFYvVo4fNKUWTkBASiVbpx//hHlJjmULYmKAo5nBdwpaSmSWWGn8p3EhlhfICUSMDQTmhOm9Ck7SJwrdu1QlnzTJpG1Y0oMAxn1rmkZ0dHRsLOzQ1RUFGxt1aTtONoeCDkJNP0TqDhaUtn3Xt0FbTybYXKnWbA0sVTPurSAdFm6VNNFfLxIj1IbJU3+LF8+9zuQEHabC5AcDnQ+B7goT39mmCJBmifSpQwcKDxSLEpAcJqWJgnlpQCFZm2RPT3h7w+8fCmVc7J7ZySnJcPUyBR4vhE4Nwxwagp0zcjUMqVKcvQTnNxcGUFpwMhRgYCFuzgQrVVLDAR8/RqwYdfekvj95sxJUUhPFS1m8jZiABf8L+Cg/wksvP275AzL5I0UmBCWlsDhw5JWJ8/AhKD93dqLy1zaYYiTJ9+8PEN/e6T7CAkBzM3ffE30QzV3rvA6UsyQUGaH2k/j4rK2e3mJQCUXUy8pMFESw7LeRF2cD3+FrgHA1NdA6suM7AkFtN27A1OmiL8fpkTg4KQoRN0B0uLFcDqad5ExO2Z5j+X4X+v/SXMxmIKhpN2ruhWEgLEgMnUnbMam99DASPLIcXeH7PZtpZu23t2KhJQE1R6HOsWuXBEmbvLRCCSWXbeu4LlPBCWdKcUvhzKB//ufmC5MgYocKifduAF0znsQaExSjPR5UCJTDMt6E3VBXjO17Nwx0BqIfrZFbKS/lf37xXwwFsaWGBycvIkYltKtdFQ/ZAhcP/oc4x06Y1rzaepenVbwIvIFyv9SHjWX15RKYgUiN2N7fQ5IVfHHh9FNyFW4cmVJUPrh86Vou6Ytjj09hhPPTmDwv4NRZ2Ud1QOUBg2E7kkOBSoksi2oBZk6hcgyn1pL5dD1jz4CVqxQzsQoCnPzoN/mfqi4pKL0GiTS04CIa+IyZ07UBh1o3h5zDr+7AY4RZ4FEhaCTKVE4OHlTMSyJ2qhTh46OKIXLqISXrRfiUuKQlJaE+1uWibr/rl1534HGA1h4AulJWf/+jH5CgtarVyHz9cXex/tw+sVpScdEf0v0d9W1YldYmBRRP0JZPAcHMTlbDrX7Zh+1QPv5+QFHjyqLuZcsAT74oFA6hKTUJFx6dQnPIp+hjG2GoD76AZAaBxhbAbYKwRNT+liXBxwbCu2bv4L5Gr3vN28KvRxT7HBw8qbOsJaWuLBlEXZ/NwyxZVzUvTKtOiI5MuIIwj4LQ+2r/sLJMz8re0qlcmmHUcDA2hqn3z2NZT2WobVPa3Sr1A0PJj7AnI5zMvcJjg3G5AOTJWNElRg7FvD1VTbZ2rtXlJE2b87a1r49sHs3QGWlN5yWbWZshsBPAnHgnQOo7FhZedifQwOAy8Tqp+wgvEwBAp9k2B8QVMKjTsNFi9S5Mp2Fg5PCQk6lMY+yyjomJvg5/Rz6pm+QpokyqlPPvZ7oaqKj1K+/Fq6x+cFzdhjSgihkKio6VsSExhOE1TsNjzW1UnJn/uL4F1hyaQmGbhuq+nNQ5kQuVKXnIpFr2bLSZ12pVNO7d7F1+FibWkvBlYE80JH7m7DeRCOY8fwpfJ4Dvz4+LX4DiHbtRPlO+xpetQIOTgpL6EVxblsVMHOULlZ0qIjy9uXRvVJ39a5NW2nYUJhS1a+f/37yjh06qkyJLpWlMRoGaT08PMTfiwqMqDNCCoK/bfdt5rZCuSdQsHD6NPDihRjQV1rIMyesN9EI6pRtS17gCEiRAf67s7xzqNOQBNBMscPByZtMIqYvrMWL8YPncPh+7IsWZTM8DBiV2flgJ3qs74HV11cXvLOVD2BdEZClASGnS2N5jKZBGo/gYMQmRGHS/knY83CPpDfJi7bl2uLaB9eUPpt/Xf8LfTb2weOwx6o9p5XVG5du8uJh6ENpLauurcramJYMRNwUlzlzohH0r94fQT1nYLW7giEbDS2lvw2mRODgpMjD/pqLmvO0adIRFaVjM1OyjMrcf30fB54cwI4HO4DLl4GFC/O/A5d29BvqhDl2DCe7VcOyy8sw5dAUGEjHtHmj+LkkF9avT36NPY/2SCd1Q3/7tI7NdzcrWxWQ8NvEXgTjjNqh8rNr5XfFlaAjQHKk8g40CZvLO8VKAfPqGSWovU9e1qFOHe/nCOjZBp6d+6p7ZVrLgOoDJHFsL7fWQPUWQlNA4kNqFc0NEsU++Z3N2PQVcuXs0AFlg5wwPn48PKw9CnVQYGJkIgmxf77wMyY1mZS5PSw+DA4WDlkGgSUAlZMoECHDxi9afyHpY2hAKLU9V3KslPuwPz7g0RzsqgF2NZEWeRdGr/YA5UeIgGTQICGavnpVOMcyxQIHJ4Uh+j6QGiPa++xq4nUnT3jd6I8qRsG4ljKWLeuLQFXnqvjM+TNxhYISascmk62CdCeRN4XngDl3SOkjdd3rYnnP5UW6b3WX6vit929KQQMN3ItNjsWavmtQ07XmG6+PMjQ3g29K5mrty4u/WQqiJuybgFcxr6R2Zyo5kXnjzNYzle/MzrAaSVp6Gt4LNsLeV8Adl3/gScEJBY/kEksnmpPEwUmxwcFJkczXmgCGxrgWeE060qJOAQ5MioH8WonlmLsC9rWByNtitpH3W6WxMkYT+OwzwNlZmKTRvJpiwjfCF1cDriIlPUXqmikKr6JfSfe1Mxdux7sf7pYCHhLjXh93PXO/t2u9jcjEyPynlrMzrEZCGd5HKUBEOrDv6XGMJVE+uYR//70YAlhduIUzxQNrTooqhvX1RVevtpJPx/oBCr3vTKEhh9iTz09izpksf4p8kfudsO5EfyCb+J9/BmbMwB2/q3gW8azYHppKKo8/eoxNAzfBx94nczu5tSamJubYP7uj8aAtg+C12Avb72/P3NbMqxkcLRxR1raskmD3py4/4c8+f0qZn1wh92MKvAnOnGgcczsvxn9Vy+J9m1Tg1T6xkeYmcWBS7HBwUlQxLDmaOjrC7vy1YkkD6zNUc+/ydxfJk+JR2CMgPBx4nE8nBZux6R9U2yex9Hvv4fNHy1FhSQWsvLKy2B7ezdoNfatlacd8w33RbX03VF9WXTJyIwJjAtHkjybwWOihFHCQlQBlUP2i/TK3kdNr6PRQ7B66u3A6FipXUjcaZQgtyxbXy2OKifYVOqBl9ZEwMlDo2mFKBA5OVIXU2VH3xGWLWqK/nWytucb4xtiY2WBQjUEYWXckZHt2SzNTpBkleeHaVsw0inkMxGX9IDA6DNnBf/QRZKtWSYGBkYFRibbu+0f7w9XKVXJspXPCxcoFd1/fldxmH4Q+yNz3s5afIerzKHzV9iulxyhS956i3oTFsJqJ9yBxHrAfSMkY/EijDD75RJQcmWKBNSeqEnZJnFtXAJzKY9GWqTj74DAmxNxCR5eM9lamyGwYuEFcePgQSJsugr+0tNznFZnaiS9vek+CTwAVFKzGGZ2GfvD3v7MfUYlRSk6wxQ2JVckKn/Qh8iDD2NAYu97eJZWBfOyyyj9OlsU4mVauN3FkvYmmEmDkgtWxjohPDMcPgQeE7o2+q8jGnpyFf/oJcGGh/pvCmZOizNMB8O/9bdjud1ga1sUUI1WrAs+eiVH2+Q1S5NKO/hAUBBw4AMTHZ24i4WlJ+wpRq2/mIL4MOlXohHL25UruueWZE2ojZjSSgNhAzAoMxy+RQMKzTWJjuXJi1s7WrYUa+sjkDQcnRRHD0vDR7kskS2y2rC9egmKD8MA6pwgxTzM28jth8yPdZscOoEcPqdWc2jl1lpQYMY2YYDGsxtLQoyFGVu2Jnyk5EngQSM0Imn/4ARgwQMzbYd4YDk5UgcRvYRnmawEOkjq70aoDUo05+5EVU3TIVtxzoSemH5kuNlDQQenS3HBuARiaAvH+QMyTUl0nowa8veHfviGc5jth8NbBuhmkhF+jP3rA0guwIJ90RhOhrNnaIXswxtMHFunxQOAhdS9JJ+HgRBWiHwHJEYCRBXDuKXDrFnCNvkiY4qRJmSaQQYbopGikf/etmARL6fzcMLbMLLFxaUfHGT8eeP4cR7pWQlRSFF5GvZQ8J3QO1ptoD1TWK5shjH2p0LUTHAz8/jvw339qW5quwMFJYVqIHRsh/YNxmLN0MM6/2zHfgWNM4anpUhOvpr3CqXdPwfB1KPDqFbAnn/knbgqlHUa3MTDAyAbv4+KYi/ix04/QSVhvolXEefTEthjg7tOdQFpGKXrBAmDcOGBl8bW56yscnBRGb+LcDDdS/fFF2BZ0vvu5ZFHNFG+61NPGU1z58EMxr+KXX/K+g7tcFHtClN4Y3UNBBEvZEsquUSeNTsKZE63io0vrMCgI+DOcSjuHxUbSnDRuDDRpou7laT3cSlyoTp1mkr/CWzXegoWJBcyMzdS9Mp0lrXo1oHq1/NP39CVOc46SQoWrpkMerpuM9tKqFZCUBKxbBzRsCJ0lKRyI9RWXHXX4deoQfar2xalHO+BhFCVKO159gBYtgEsZthPMG8GZE1UU9DTCnNj/AnWP3MKWDiuwtt9ada9MZ/n86OdwX+iOo0+P5r+jkSng0kZc5tKO7hERIfRd9+5hVcxpfHPyGyXzM50i/Ko4t64ImDmqezWMCvSp2gdPRu7BZ/R2vdoNpCVBJ5g9Gzh8GEhXbzaagxNV6sBUMrAoC/y4FBg5EjifUeZhSoSIhAjJhXP//V3AsmXAO+/k3S4sL+3wnB3dw8EBCAkB9u/Hb4834ttT3+K8n45+9sLlehMu6WgLNJbAwLUlYOEBpEQBQQrCfOoyPHtW7T/whebpU+Crr4Bu3YTrrRrhso6qYlj7pvB/2w1Wp87DoV07da9Kp/m46ccYUmsIWjs3BNw8gIQE4NNPgfr18zZjCzkF0EA2Q/6T1ikcHYHu3TH+ehDKPSmHrpW6QicJk+tNWAyrVRgYQlamP57cW47KNGunTA9xIEWDAGk+GB3INhPeWFqBiQkwaRLw+jXgk+WCrA44c1IQrzOO1Dxa4uumCXDpehO/3Fml7lXpNDRIsUP5DjCxsQOmTRMKeM8MoWx2HOoBpg5AakyWoJDROd6r/x62vLUlSzCta3DmRCuhpojaF/ajygvA9+k2ID1FtBmTPsreXmqB1yrKlgWWLgU2ZTjfqhEOTvKDImCFScQvol4gTZaG6i48HrvU+P57kTVxc8v9dhoA6NZeXGbdie5AWpMhQ4CNG6HzJAQJM0EYAA65ZAcZjcXEyARuduVhagBcj4kWnYPEkiWiJPn22+peotbCwUl+kHqeOkHSTYAXBjg6/DCeTX6Gtj462sqoQZAR20/nfsLQbUMhK8ieXl7aUaz5MtrNvn3Ali1I37QRO+7vkAbw6SzyjJ9ddcCE57JoG7/3/gOhnd7DIBsFQzYa/EclEm3i77+F5kRD4OBElRbiV5WARk2BBg2koV/cQlzyGMAAXxz/ApvubMK9wJvAsWPA8eP5m7G9PptlhsRoNz17Al9+iZuD22DAlgEo93M5pJKmSBdhvYlWU9GxImwqDBNX/HcI7ZsiNMhU03n1Cnj3XaBSJbULYeWwelAV87WEsoDVS6BOHXWvSG+wMbPBZy0+g7u1O9x3HAEmfQa0bAl0yMiSKGJbVSjmEwLFeyYv8zDaC33W6tRB2NOjqBZZDVWcqsBYV8XOcr0Jm69pL65tATMnyBJDYRByWnQRpqQAvXqJttx794RIVlOJigI6dRKeQqQ70QB09NNevJmT6HeGoqGjLzp6GOCX1CTOnJQSszvMFhc8/IBvFwA1aojWPMNsCT8SoFFp5/l6Udrh4ERn6FShE+5PvI/EVB3NiFHJUl7WYdt6reXW6/v4MsQKxnFh2EZdOxScUFnH0hIwMhKzdjQ5OKlRAzh0CEhOhqbAwUle0BjsyJvSxeNxqXgS4QsDA0MOTNQBRfJBQTmDkuylHQpOWBSr/dCwR2dn0fGQ8Z6bG+voGPp4PyAxBDAwBuzZ4VhbMTE0we6Ql5IwNvr5v7BtuBQgd+sffwR+/lntbbkqY2oKTYGDk7ygoxlZGmDugS41hmKflSfiU7LmfDClAx0xk1OshbEFOlbI0JbkZ8YWdkm4+rKwUDuhTMLEiVKdPmHXvzDvPUCauaSzyLMm9rUAYwt1r4YpItTB+XOXn9D+ybewSX4NhJ4FXNsAVapA4zl5UswDsrKCJsGC2ILEsKtMYdm9D3oE2WBQjYwR2UypsfLKSvTe2Bs/nPlBbPD3B+Licu5o5QNYVxABJdV8Ge0d9Fe3rpQ5mZq2H+V/KY/NdzZDZ5FPIma9idYzufknqFOJgmmFrh1FwsOFpkOTCA0FunQRPlIBAdAkODjJCxJWkvPwhVDRJVJQOytTIvSt2hdetl6o61YXsmFDRYlnz578u3a4tKO90NHbjh1AcDBOvjoreQuROFoniX0GPPtbXGa9iW7gnXEA67dNeVI6zauh767166FRPH0KeHkBlSvnbXSpJjg4yQ0KRChzYgDsWvUBfp0/CC+ra9Ybpy+UdyiPl1NeYnG3xTDwKSfEr3fv5u93wsGJ9mNoiKsfXMXeoXvRrlw+4yJo2Nr5UcDdedp1ABH3AjjWHkh4BdhWA7yHqHtFTDFwTeaMGeGmOB0ekJV9JywsRFbwyBFoFE2aAE+e5H3Ap0ZYc5LXF0ciCTCN8Wv0TRyNP45U35aY4jJF3SvTSzI1B5Mni5O7e+47yrt0Im4AiaGAuXPpLZJ5c6j1MjERsBGZEitTK/Ss0jP/+/jtAJ6tE5fjngONlgkhoiYT5wccbS++Z2yqAB2PA6Z26l4VUwysuvk3loclI9wWaEOlHZcW4oYxY4TAWxPnshkaAh4e0DQ4c5Ib8ojXoR56VuktHbl1r9Rd3avSe3xN45DglM+XuIUbYFdLXA45WWrrYoqJM2fEoL/Bg1W/j9/WrMtPfgPOjxTzTTSV+FciYxL3DLCuKAIT8uhhdILBNQfj7fKt0Je0pdRSLM/m0Zyd9u1F5ldT8PXV6GwjBye5QfN0qDFnbQqmRFTFiZHHUdW5qrpXpdf02dgHlZZWwsEnB8WGvD5UXNrRXi5eBFJTkWBhjH6b+uHXS79Kg9XyhLqyAvaLy7W+FO24LzYA/70lyj2aBpkEUmBCYzGsygMdTwCWZdS9KqYYaVuuLTYOO4xe9laiTVwueFYkLU2YnqmTqChhdFirlqTv0kQ4OMlLDHsPwKabwMcfa1a0q6dUcqwEIwMjPHx5DRg1SpgG0Yc8r5ZinrOjfcycKR3NnX6/I3Y93IUfz/6Yvyvsq71iXAGVRmp/C7TZARiaAf67gFO9gdRcurrUOdzvWAcg5rHoLOt0ArDSDCdOppihlnDPXuIyZU8UOXhQtBfTtHV1cu1a1kGeqys0EdacZIe+7CKuQ+YInB3XEU08WkBzbGn0l89afoZZbWbB0dgGGOoGREQA588DrVrltJGmScUxj8SkV0svdS2ZKQoVKqC6kzF+NBaBSb4eJy+3iHPvweIAokwvoN1+4HQfIOgIcKIr0Haf+vUcZLJ2vCMQ/QCwLCsyJhSgMDpLqGsXHL27GUNebIVBvR+zDnDt7ESHDGmrqK3YTE2mnu3bi9bhFy+UDr7TZelot6YdOpTvgGnNp8HWzFZ9WkNZgSNfNY/o6GjY2dkhKioKtrbF/I/3+hxwpCUeGjii2qNwOFs649W0VzA14hBFY6B2PGrLo1k7ZA2dnYNNxLyS5uuA8iPUsUKmpEmJBra5AulJQI9bgH1tZc3Yie5ASiTg0ABof0h94mgSZlMpJ+oOYFEG6HQKsKmonrUwpUJSahKc5jshLiUOt7yB2v2z/X1u2SJm7pC1vYZx6MkhdFvfDfbm9giYFgALEwu1/X5zWScPMexz8ypwsXSR/DU4MNEsZMOGAW3a5B6YEFza0T4++0w4w9KANFXw3yMCE2rDlYug5Tg3E2UTMxcg4hpwrC0QrwaDqaQw4HinjMDEQ2RMODDReWjECWUe6lrZIpwqz6+ytemS4FudgUl8fL6amfUD1uOHDj+USGBSGDg4yU1v8groatsOQZ8GYdOgTepeEZNBYEwgBm8djBrLa0jpxzxRNGPTvsSg/kHDHFevBpYvx6VnZ3Dq+SkkpxUwgCx7SSc7DvWATqdFtiLqHnC0NRD7HKVGcgRwvLOYz2XuLgIT28ql9/yMWtn61lbc6LcAbSkG8d+d946xsaUfmHh7A/36CcfabNAMq2G1h2FC4wlQNxyc5NapQ/FIp3kw/P0PqazDaAYOFg448OQAHoQ+wLWre4G5c8WPWnZcWgKGJkItT50RjOYHJ3/+CXz0EeZFH0C7te2w4OyCvPdPjgICD2YFJ3lhVw3ofEaMNYh9ChxpBUQ9KP7151hfJHC8i6Rdg7mraBe25W4/fUIaECsXxdK8r4RsHTHPnwPduomZNvT3X1qcOAGEhQG3qNRkD02GgxNFSEAZ5y9sEsiYhtzzGI2Bovrfev2GS2MuoeHtMOB//wN++SXnjsaWgHNzcZlLO5qPsTHQty+wZAk8bMtI5dQuFbvkvf+r3UB6MmBXA7Cvmf9jW5cHOp0R+5Ib69E2QISYNl4iUOBEQlwa6GfmDHQ4DthVL7nnYzQXS0+kOjTAhQQZELBP+Tby8yFB/6NHwPXrpbemnj2Fw/bvvytNeSfp6cgdI7Hh9oaCs5alBAcnimRY1k+b4IxGv9bGbvMX6l4Rkw1KOTYu0xgGffoA3bsD48fnXrrhOTtaybKey6RyaiPPfGbNvFAo6aiCpSfQ8ZQQxya9Bo62U7YWLy7Id+Vkd3GkbOYEdDhWcPDE6CwRCRGofOcpWvsD/r4Zf7NySAi6bh3w+LFwji1NatQAOnVS2nTqxSn8fetvjNs7joMTjSTjC+tAbAquhtxEGlivoLE4OQH79wPjxuWuOcg0YzuhPICL0Syio4GVK4FnzzI3GRoY5t1CTCWToEPisvdbqj8PdetQeYVKftTFQ0LVoGIMXFNigZM9hGbN1AHocBRwqFN8j89oZRm6nENF2BkC9/xPCpsKRShbWKFC6S1IlvfvWVWnqvim7TeY1mwarE2toQlwK7EigUcAv10IcmiGg3GpGFB9gFr7vJnceRT2CP/c+gcVHCrg3Xrv5r4TRf//OgBp8UD3m/xDoanQBOIBAyRjqsibF6UWxnx5uha48K7o0Ol5u/DPR8Zsp/sBQUeFYVvrf4U/yptAj0mBSchpwMQe6HgMcGzwZo/J6AQvIp7D9XhLWCQFCA8ezzzGoJS050lyMtCggcg2f/VV5vwqdcCtxEXBsA7QYxPcv9qHd2uP4MBEQznx7ARmn56NFVdWCPX5zp1AaKjyTtT+7dpGXObSjuZCX8itWiG4d3vJG6LJH00kn4iCu3QKkTVRxNgKaLsH8OorWpFP9wdebEaRSY0XbrRSYGILdDjMgQmTiY9DOViU7SOuZG8plg+7pGGmNHjv1auSW8jevUJrQh5RNCFZC+DgRBEaZ01KZhIp5eWhwaidPlX7oF+1fpjUeBJkXToD/fuLACU7PGdH8+nRQxr4d2FMN6k9PE2WJjod8mrPJefXNwlOCCNzoNVWoNw7gCwVODsU8F1V+MdJTQBO9xWlQ3IuJrM3p8ZFXxejm5TpLZ3debIdaWmpyreZmAhBLDlebypB24o+fYBdu4AFC4QAPQMqnHx14itcfnVZuqy1wcmKFStQp04dKRVDp+bNm+PAgQOZt7dr106qFSuePvzwQ6XHePnyJXr27AlLS0u4urpi+vTpSE3N9oapiaRB/THm917Y/Gl3pKZrxpqYnHjYeGDHkB0YUXcEDLr3AHx88jdjCzkF8Pup0fSt1k9ypPyj9x9570Qzc6iVjtw237QDhlrNyUG40jj6igYujgEe5NL5lRekHzjTX5SHjK2B9geF+RvDZMe9A94OMkLtR8HYc21JztvJEuHw4ZKdt2NsLAKUd95R2nzB/4KUhW67pi1ikmOgtbN1vLy8MG/ePFSuXFmKstauXYu+ffvi+vXrqFlTqNLHjh2L7777LvM+FITISUtLkwITd3d3nDt3DoGBgRg5ciRMTEwwZ84cqJvTr85hVcBeHLC5hsEGs9W9HEYVPv1UtBTnJqC0ryfEiXTEHX4VcG6qjhUyeUHTUEnYnHEkR0EnnYqtS6cgaAZT4xUiuHiwELg2BUiNAWp+kf+wT5p4fGYgEHgIMLIUWgKXFsWzJkb3MDKX9HGGMY9x+9le9GucLQihMRxqws7cDu/UfkcSwWqcjEH2hjg4OMj+/PNP6XLbtm1lkydPznPf/fv3ywwNDWVBQUGZ21asWCGztbWVJSUlqfycUVFRlH+SzouTB68fyD499Kns25PfFuvjMiVDZEKkbMOtDbKIhIi8dzrVXyZbD5nszpzSXBqjCj16yGR2djLZjh0F75sYJpNtMBbvZdSD4l1HerpMdutb8dh0uvaZ2JYbqUky2cneYr9NFjJZ0IniXQujk4TcWSx7tgYy2YFG+e+YliZOxUVqqkzWu7dM9vvvMllCQp67pef1914CqPr7XWTNCWVBNm3ahLi4OKm8I2f9+vVwdnZGrVq1MHPmTMQr+PifP38etWvXhpubW+a2rl27SurduyTWUTNVnatiQZcF+KrtV+peCqMC7de2x7Dtw7D30d6sI/G8dCdsxqZZkCvm7dtAVBSW4TLe2/Ue/nv5X977++8U+hD7usXvtkpZktpfAQ0Wiev35wNXJuZsQaeS0tkhQthIuhUS1rq1K961MDqJS4W3Uc4EwpwvrzlPa9cC1aoBe3IRzhaVgwfF482cmW82MN/p39pQ1iFu374tBSOJiYmwtrbGjh07UINMXcgga9gw+Pj4wNPTE7du3cKMGTPw8OFDbN++Xbo9KChIKTAh5NfptrxISkqSTnIomGGYnpV7IiE1AYaRUUD16kLt/vq1ckuee4YZW+hZoROgHxVG/ZA7JXmbXLuGjben4qzfWTT3ao5W3q3y79LxKaaSTm5UmypKPJfGAY9XCO+SZn8BhsYZgclQESRRC3KbXVl/WwxTEBbugFNTIOwiwp9tgaz8CDhZOinv8+CBMGX74w/hgVIcNG0K/PSTuJytVXn19dXoVaUXXKxcoJEUNiVD5ZfHjx/Lrly5Ivv8889lzs7Osrt37+a677Fjx6T0zZMnT6TrY8eOlXXp0kVpn7i4OGkfKvnkxddffy3tk/1U3GUdRrtITk0WFygN6uEhk5mYyGQXLyrvROnKbe4iDc8peI3k+NPjUjn1ZeTL3HdIDJXJNhhllHQelfyCnm3Ier7TA2SylDiZ7MwQcX2jqUz2Ku/vKobJk9vfy35dBpnld0ayzw5/lvN2f3+ZbOlSmSwmpsSXcjXgqgzfQGYzx0YWmxQrK01KrKxjamqKSpUqoWHDhpg7dy7q1q2LX3KbbyIFbUKA+OTJE+mchLDB2VLv8ut0W15QeYgMW+QnPz+/wi6b0UFMjEyyjsJ37xZZk+zzkChdyaWd/M2Z1Ez78u2lcmpZu7K57+C3A5ClAQ71S2eyb7mhQOvtgKEp4Lcd2F0eeLlZdPi03pa3kRbD5EeZ3vA2BuLT03DR/3zO1t0yZYBJkwDrkndojU+JR2PPxuhZpSesTK2gkz4n6enpSiUXRW7cuCGde5DBDCCVg6gsFBISkrnPkSNHpLZkeWkoN8zMzDLbl+UnhpFDH3L/Ku6AnV3uO8jT7+x3kgV9MdIk4MqVgYCArG3UNUcTU0sSer5mzQDq6lPFWyHTeK0ESzrZ8eoDtNsnunESQwADY+GN8qZusoz+Yl8bPV3K4pQXcKLTpwXrPNLfYOwGfa6mTBFTiHP5jFH59NLYS1jdN5ep7toYnFAG4/Tp03j+/LkUZND1kydP4p133oGvry9mz56Nq1evSrfv3r1bahNu06aN5I1CdOnSRQpCRowYgZs3b+LQoUOYNWsWJk6cKAUgDFNYnkY8RYUlFVBvZb28vWnkmRMayEbD2RiAvIVWrCDjIWDpUrFtzRrgiy9E9qkkdV3k6XDxImR792DZ5eW4G3I3bwOoxNdZQeWbGK8VBfdOYkaOZy+gzU7hKsswRcXAAIZefdDGAjAIyBDx58aVK2J6MIlYi8rJk2JiO2lXFJpScpv0rhPBCWU8KOCoWrUqOnbsiMuXL0sBRufOnaVyz9GjR6UApFq1avjkk08wcOBA7FFQHhsZGWHv3r3SOWVRhg8fLj2eoi8KwxQGbztvxCTFSGnK+4fXizktX3+tvJN1OcC6guj2CDyorqVqFuRMSVbW5Bj5/fdiW4cOQOPGwgyqJLOT3bpJWZt7H72NSQcmodEfjZCYmm0omhz/jJKOY0PApiJKHZfmQLs9QJmepf/cjM66xSJgL9LSUhAUm0sjCDWH7N8vhLF5VCUKfp4ywAcfiMGoVlY5xn9og8koD/5jtJ5rgddQzbkaLHcfAAYNAipWFKp3xbTpjc+Bez8CXv2BNqJ7TK+go6fp08Xwr9Gj89egkCka6XgI0vFQejlbl11xcDXgKr44/gUsTSyxfUge78mxTkDwMaDej0CNz4p9DQxTqpCB3zZnnIuJxYjoMvC0L48z751R3oc+b99+C4wYAVSqVKxPT1nKWitqSQd1jyY9yntURAnCg/8YvaGBRwPpBw5du4qJm1u35tzJZ5g4D9gHJEdC71i3Dli+HJg6FQgPz3s/U9OswCQtTdhd169PJkXFvqSGng1xcPhBbBu8LfcdSOsRckI9JR2GKQmMzACPrpLniV9MIO69vpcze0Kfv2+/LfbAhPCN8IWLpQsaejRUS2BSGDg4YXQHUrnTh5p+TLOLzaR5LDWB9GTRgaFvjB0LDB0KbNsGODqqdh+a9EzeMVFRxVfm2bdPrIEeM4M8hYH0PpERmmMjwLp88Tw/w6ibMr3haQzsr1IeL6e8hLt13p2qEoUpbtC+pCEjLVkeQ1P9p/ljec/l0HQ4OGF0giO+R9B9fXfMPpXHTCT6ASyXkT15vgE6Dxmc0dwhueKfpmxv2AB07qz6Y1Ap59Il4TKZMTtL4k0qwdQNNGgQQjeuQkJKQv77vtxa+l06DFPSePagLyR0SveFVUo+WcyQEKH/osndqnLxIvDxxwB1v+YhhDU1Mi04INIAODhhdAJKjR58chBb7m0RanfqOnnxQnknn6HinLo/EgKhsyQmAi1aAAsXCsV+PpAwbtbxWVK3U+YYAEVITNe6ddZ10vI0bCg5uxYaCmpoXdWr4zvH23Cc74glF3OZ0kokBAMhJ8VlLukwuoS5C+CcMfIlo2snLD4s537p6cCyZeLggL7TVKV9e2DgQJq6q7T5eWQJWwQUMxycMDoB2TDP6TAHW9/aKjIGdIS+Y4fyTlQakL4UZMCLzdBZzM2Fh0irVkD//vnuamRgJI1Nvxl8s+BMBkGi2uvXgc+KIE6l7BV1B927h1vxz6QOHRLm5Yp/RknHqYnotmIYHezaCXu2Tcr4VlpaSeo6VMLdHfjxR+DAAXFAoArkH3T8OLBqldLmR2GPUP6X8mizug1S0lKgDXBwwugEDhYOmNl6ptS1I4k433oLqF07b2GsrpV2jhwBHj7Muj5mjPA6KFcu12yJvJWQ9B5/9P4Do+qOwls1VchQrF4NjBolhpS9ASdGncCd8XfQuUIeZaYXajBeY5jSNPmj762wM3ga7ovopGicenEq535TpojW+8IO5qOOOwXO+52XDkRszGyynLU1HG4lZvQL6gDZ4Sm8M3o9Kh079JLm99+Fn0GjRsC5c8LDJA8ehj7EyJ0j0bdqX/yv9f9y3Sc2ORZv//s2vmv/ndQJVSAbN4oW5ar5TAumrxkaY0EdCAV90SYEifeIMlx9nwNWPgWvgWG0Cfo87KkExD7Ff5V/gGelt1HBocKbPeb+/cKriDKnuRAYE4iopChxAKdGuJWY0UvOvDiDqQenSh/EXDF3BdwzjtZfbIROQII56sChWVbU/psPF19dxKVXl/DzhZ+lICQ3vjrxFfY93oe3tr5VcAqYBLOUSaHA6NGjvPejiatVqojp0QWsEX7UWiwDnJpxYMLoJhSgZ5R2WqX55h+YpKYCv/0mnJsVutyUuHVLuMpSppQ0Z7ngYeOh9sCkMHBwwugUnx75FD9f/Bm7H+4GIiJE/TU78q6dFxverPNEXdCPO6ny5Xh5iR//X3/N9ahJMTk6os4I/NDhB1wbdw3WptZAegrw+izwfCOQUer5qu1X6F+tP9b1W1dwCtjbG2jZUnjM0JyevLh7V/JQSfbxQrPVLfHZkc8QlxyX/ywdHy7pMPrhFivpq4CcuhN5p92SJcDlyzm0JJlQyz99Fkm8nu07QCUtmQbCZR1Gp1h+ebmUHRjn2QctWgwRtVdyObWxydqJ5utsdwXSEoFuVwFHFUoXmkJsLNC7N3D2LHDhgiin5AF9tP+6/hfW3FyDoyOOCtMl+rjHPAaCjgCBh4HgE0BqxhditWlAg4V5urm6WbvBy9Yr9yM7stmW22TTdZo2ThbaisTF4cSt3ehweBjcrNwQ8EkADA2yHR/FBwA7vTJKOi8BqzwmFTOMtpOWDGx3AVKigS7nMf3aNqy8uhLHRh5DkzLZpquTN5C/P/D++8rfZUqPlwZERgJOTkodOrVX1MbgGoPxe+/fYWRoBG35/VZWzTCMljOh8QTpJP0Ily8vjiL8/ETfvxwTG6BMH3GETsJYbQpOKACgEg45uZKXST7BSWRiJD4/9jlC40Ox6tgETLA3FAFJfDaDJlMHIDkCeLAYKDsAcGmpdDOVyHpt7IV0WToODz+Muu51le9PAaCiAG/WLDEXhHxVKKOisPYG9Xtgk80mSQCYIzBRLOk4t+DAhNFtjEwBj27ie+jVHoTEh0il1i13t+QMTqg1uMDHM1IKTIgd93dIj/ki6oVGBCaFgYMTRndruuQNYGeX++1U2qEvBdKd0NwWbfng0uui+jMdIeVlb03zO0LPwSHwCP4oY4fHEaEYF/oXILdSMDQVAQhpb+jkUB+4NBZ4uho4/y7Q4yZgnOWRkJSWJGU6qMOnomMBw/cog0KlNLLIj8mZorYzt8OQWkPyvr+8pMNdOow+ID9IerUH/2u1FcNrD0enCp0K9xj37wPVquUqNJ/SbAqaejXN/UBAw+GyDqOzpmy3g2+jc8XOef+Ab3cHUiKBjicAt3bQWKh9NyxMCE9dXHLeTh/hqHsIe7EDH51djo8tw9HMNNs0U7taIhDx6Ay4tgGMlSeVSvOG9tcG4v2BqpOBhj8r3UxTnykDo+hLQmLZXDUpJMjbu1cMYSRo3hF5o9BcH+omyIv4VxklHQD9/AHLbGUhhtE1ksJFiZm6B1XpTDt9GvjpJ+EzRD5GZIpIQnPKoNL8K8qoajjcrcPoLTRMy3OhJwZsGSAZfUk/3qTVyD6Ay3uQ5nuekEvkDz8I8zOaS6PYbvvsH+D8KPGDvr8Wvj7xJTa+DsTowCSkm7kC5YYDzdYC/V4BPW8DDRcBnt1zBiaEqT3Q5E9x+eEvQLCy5wINVlQMTLbe3Yp6v9WTWpNzQKU0eWBC0L//3r049eI01t5Yi+DY4Nxf68t/xTlldTgwYfQBM8esMqr/nszN6bJ0JJMmJTv//APs2QMsWiSuX70KmJkJw7Zsgckb5R1Ii3aiOxBxC+qCgxNG56B2uTK2ZVDDpQYCNvwGlC0rftzz6trx+1dkUjQRErnRUVLbNkBrR+Dap8D+usAOD+D8CODZOiAhADAyx+zq7dHZrQrW9t8AwwFBQIu/gQojAUvyDFEBz65AxbHi8sX3gZTYvC3vT8ySgsB/bv2jWoDl5YUV5rfx7q53sezystz345IOo89dO692S2ekOan2azWsvLIy576UfRw/Hpg7V1x/+20gICDHmIqAmABUW1YNc8/MlQKdQkH7X58OBB4EnvwOdcHBCaNzUH31/sT7uDjmIiq4VhVtdseO5WwbdmkDWHgKMWjgIWgkZKg2qCEw6TZwsS/wYCEQKY5mjhtVwg9GrYEOR4FBEXDoehyHP3yIRtWGFt5RUk6DnwBLb8kcCjc+z3UXY0NjnHr3FKa3mI6v231d8GN+/70k3m3g3VQa1d6tUrec+1A5KfScNBANZVUQ/zGMrgUnNEsqJRrhCeF4HP4Ya2/m4sJMPkHLlysbHpJAPpv+jDKUZFm//8n+wutNaLRH+FXA2Aao/RXUBWtOGN0mORk4fBjo1Cl358RrnwAPFgHeQ4BWm6CRHO8MBB0FLDyEut+9Cx6a+KD6ny0hg0yygm9Xrhg1M/Rc9JxEh2OAez46kQzoa+THsz9iTIMxcLZ0LvxzPvgZuDYVcGkNdD5dhEUzjBazp4po8W+1FfEePbD6+mqMqjdKeBHlRXQ0kMfvH3kI/XvvX2n6cNdKCh1zBUEZ5L3VgLjnQJ3vgVpfoLhhzQnD0GfN2AjRndvkaemcWdqhlCr5n2gSJCr95yfg1VHAwFjyQkCzv4Byb6NqmeYY13CcdGrk2ah4n9e9E1DpQ3H54miV/l0WX1iMmcdmovmq5khKLUKJjEs6jL537RCv9kj6rolNJuYfmJAhG3UiUoY0JaeLs5WplRTcFCowIR4vF4EJZZSrTYU64eCE0VnIgMxjoQe+OflN3js5NABsqgBpCYD/LmgMlNCcORMYMR04BST7DMW86xslfxA5y3ouw8peK/P/Eisq9ecDVuXEF9X1gicQ0wC/So6VMKXpFGH2lo0HoQ/yrn3HvQRCz4uSjjeXdBh9dovdD6Qrj3eQD+lUgrp0iC5d8p2lVSiovH1ntrhc5zslOwF1wMEJo7M4mDvgdfxrMe3zzz9FaefGDeWd6MhDnj3RpK4dKke1awRQhaQpMORpgJSZoLlBckrUu4CM6ihLQzxZCQQeyXf32m61cWPcDWGAlwG1HlMWJSw+DDWX15QCRcXgKkeXDrU4U+mKYfQN6tghM8SkUCDsgrSJrBB6beiFETtG5Nx/2DDg1CkxdFOBkLgQ9FjfQ+qmK7Ri4+48EaDY1QTKj4K64eCE0VkopUm27RdGXwCOHBGi2KVLc+7oM1ScBx0GEl9DI6D2wKGpwGJqPxqEaa2/lozQelTuUXprcGsPVJmkUN7JJbDIlko2yBDiUhtk30190Xp1axzyPSSlql2tXGFrlkuNmUs6jL5jaAx4dBeXX4mWYso00gDObfe2SYF+Dtq0EWLYbELYA08OYMG5BZmfRZWg7CVZCBCSKaX6/VnVvwKGKSHoB7FjhY7iCrUS16oFfJihpVDEtgrg2AgIvwK83ApUyTr6VxvULUPutXT4UHMmWjs2wNPJT6XXVKrUmydSzbQeEg83/UOlu1GnwP3X96UvWLLiDvssDP7R/jl3jH0OhF0EKAtE1vkMo8+lHRpG6r9b+tzRmIifu/6MnlV6qiwyf6vmW4hKikJt19qFe+5bXwLpSYBrO8CzFA+A8oG7dRiGoLky16aJ9Grn/9S7Fhro9+JnIG2z6M5pf0C96wk5DRxtKy63OwB45tIKnAvPIp7hWeQzdCifT7fP/Z+EpwJlaTrmMkGaYfQFcmne5gLIUoHeTwCbAkZFFBcRN4ADNKNLBnS9BDg1LtGn424dhsng5ws/o+VfLfE04mneO1ErMQkyX58VR/PqZNJ44O3NwBlgfKgZFp9fLA3xUxukBSFLe+LiGPElqgLlHcrnH5gQL7ikwzCZLs30WVMo7ShSaDM1Vbk+QwQmPm+XeGBSGDg4YXSe3Q9345zfOex8sBO4dQsYPlwIZBUhF1U6eideqNHvJCEBsIkFTIGnLetg5b1d+OTwJ+oNToi6cwDrSkDCK+FHUhzEPgPCL3NJh2FyuMXuydwUkRCBTw59gga/NUBatk4eOWTc9vGBj3Ez6Gbhno+mlJPWztAEqPsDNAkOThidZ3LTyfi1+68YUnOIULivXw8sWCBs1RWRd+1Q3VddGCYA4wOBZYBLq6+woucKfNz0Y5SzLwe1Qm2FzdeI7NLTNcArhTk/RYX0PQTVuc1d3/zxGEZn3GJPA8lR0kVqzSe32JvBNyWxa26sv7UeSy8txcidI1Xv0pFs6jNsAipPBKwrQJNgQSyj8/St1jfrynvviXbiCRMAw2yxOR29X54ARN4WJ/tCisqKg0dLgdQ4oEw92PgMwIflimhDXxKQHqfaNGGhf2ks0POuaH8sKtylwzDKkM7EtjoQfV/MtvEZIongF3ddLIli8zJVIyPGt2q8hY7lO6repfN8PRB5EzCxA2rNgqbBwQmjX1hbA6tW5X4b/dCSUt1/J/B8I1CvlIOTe9eBaz8D5KlUY2bR5+OUJHVmAwF7geiHwJXJQIt1RXucGF8xv4NLOgyTM3sSfV+UdnxICweMqJuL14kCzcs2l04qk5YI3Mywpq85EzBzgqbBZR1GL6BU57Gnx/DO9nfyt1dXLO2UdiPbu4OAcZHAXQ/88Pwh9j7am2eNWW0YWwDN1oig4vnfRXfVlZd03DoA5i7FukSG0R232NQcNxdLg+3DpUC8H2DpBVT5GJoIByeMXkAW0O/uehcbbm/AxjsbgbAwMS132jTlHT17AcbWQNyLDEv1UiI6DAh6CSQDfu3ex1envkHvjb3hG+ELjcO5GVB9urh8aRyQFFb04IRLOgyjjHNzkckgt1bqHlQISn6/+jvqrKyDF5EvpG0xSTFYcnGJJIhVGfq83s0Qv9JwPzrg0EA4OGH0AhMjE8xoOQOTGk9Ca+/WwPPnwJdfCsdYfwVzMPqgyssMpWlnH/wvMDcV+MUNxo3HSjNqBlYfiCpOVaCR1P4GsKsBJAYDVz4q3H1jngAR1wADI8Crf0mtkGG0E0MjwLNnjq4d0pJsubsFd0LuYPnl5dI2OtCafHAyOq7LMJtUhbtzgJQowL4OUG44NBXWnDB6w6QmGVbsBLk+kyi2VSvAzU15R59hwLN1QrDZcLFosytJKHV770epEQZd/gcPex8s7LoQGo2RuSjvHG4unGzLDlR9aF9mSacjYK6a8yXD6F1p59k6EZw0+Clz86w2s9CrSi+8X/996TqJZOu518Pw2sNVb99/9Ku4XG++CIQ0FHaIZZjcgoUdnkDS60I5ohaZayuBe+MBC2eg7wu1TwMtFCSqoyMxMxfRvaOKfuRAfeFK2fRPoOLo0lglw2gXKdHANmcgPQXo9VCM2MgD+gkngzYjVQKNs+8IPZ17J6D9YbWI7tkhlmHy4Hnkc0w7NA33Xt/LfQcaepWhki/x0g55DXwwHfiUPrV9sfbOVjwMfQitodZXgF0tEchdmVjw/tGPRGBiYAx49SuNFTKM9mFiK/x/8nCLVYTKPSoFJtQdJ/dwoqyJJnYDKsDBCaN3kOPq4guLJVt7pKYCW7cCgwcDaWnKpR3CfweQGl9yi3m4BXgQCwQDQXUHY8yeMai2rFr+VvuahJEZ0Hyt0I9QuUZuR19QSYeO3DSwfZFhNM8tdneOm44+PQqT2SbYejfj81QQVCChGVYE6Uwc60PT4eCE0TumNpuKzhU6S6ZFSEoSk4opQNm9W7kjxaockBoLvNpbMguhL4wXi4ElAJa8hWifcuhWqZsk2K3goFlujfni2AComeGZcGUCkBCc975svMYwhQtOXp8FksJzjOSgDkQ60FIJMnQLPgEYmgJ1v4c2wIJYRu9o5d0Kh0ccztrw+edAbCzQsmXWNkp5kucJ6SkoFepTAj+mwceBsEuAlTkw7FdUMXfFnqF7kJKWAq2DghPyPCHHycvjgdbbcqaNox4AkbeEwLgsl3QYJl+sywmXanKrDjgAlH8n86YfOvwAQwNDDKiugoEheSXJbeqrfgxY+UAb4MwJw0yfDnz7LeCabb6LvLRDZkjZjlyKhVtzxHnFsUqzZajtWeswMhWzd0hLQqWw3IYnZpZ0Or+Z7T3D6PEgQMLGzAY/d/sZbXwyphjnB3X9RN0Rn7ma/4O2wMEJo7ckpCRIpka7HuThcmpfU3gBkGLeb1vxPnnoReDL48CPBkBSV8m9lgyVtBqHekCtL8VlEscmBOZR0nmr9NfGMNocnAQeFN9DhYX0cre+zMpuatFBAQcnjN6y8spKjNs7DrNOzBKW0DdvAu++C7wQ7otKdvbF3bVz8TvgKmVPZAg1s0GPDT3gsdADflF+0GpoTodDfeFuSe6xcqeCqHvi6I1KOl4KgxgZhskbpyYiq0qmaSFnCn//h78ACa9EKaeKCt10GgQHJ4ze8l7991DbtTbG1B8jicvwySfA2rXCNVaOz9viPOQUEK/gJPsmRN4BovYDCwAsmIWXZaxR3r685AZb1q4stBoKPqh7h84pFf38n2wlnS5adfTGMGrFwDBXt1iVSHwN3J0rLtf5QRgnahEcnDB6i725PW5+eBOTm00WOo9PPwXefluc5NARh0sraq0BXmwunie+N0+cN34L+HQ2Gng0wP2J93Fw+EHoBCTiI3t74srHQHwAd+kwTFEp0yerpbgwnql3vgdSY0Qms9xQaBscnDB6DRkYZdKtG7BxI9CokfJOxVnaiX0q7N6JGjOV1uFqlU2Qq81U/wxwbASkRAKneouyDrUxemV80TIMoxoenQFDM/HdEX1f9flVj8X8HdRfIDIwWob2rZhhihnSm5x8fhIrLq/IfYeyb4kuFBpWR+2wb8K9+cCadGCLNxBpJ7nBauEEiYIhl12pvGMq/t0Ij66Aqb26V8Yw2oWxFeDWoXClnZv/A2SpgEc3wL0QQwE1CA5OGL3nauBVtF/bHlMPTcXruNdAeDgwZw6wb5/YgYbTeXQRl+VZj6JA5Y1bfwEnAOx6iajA56j/W31U+bUKgmKDoHPQ1OI6s7Ouc0mHYYqGV+4txXl2AkoaLwOg3o/QVjg4YfSehh4N0danLd6r954Qxi5ZAnzxBfDdd1k1Xh+F0k5RMx0PFgHmKcC3NYGpU3HD0xDGhsYwNTKFm1W2yci6QrVPRDukfV3u0mGYouLZS5yHngcSQ1Wzqa8wCnCoA22FpxIzDJkoytIlx0WJ4GCgXz9g4kRg2DDA0BBIiQW2uwJpCUDXS4BT48I9QVIYsMsHSI0D2u0HPLtLm2OTY/Ei8gVqutYsgVfFMIzOcCBjmneztUCFkbnv478bON1XdOb0egRYaV73H08lZphCkBmYEG5uwPnzwPDhIjAhTKyzjvyLIox9uFQEJmRURnXgDKxNrTkwYRimyG6xmVDW98YMcbnqFI0MTAoDBycMowCZoM0/Oz93kaq8tEPW7DSvQlVSYoBHSwCaK3ipHhAZieik6OJbNMMw+tNSHHgQSEvKefvTv4DoB2Lad43Poe1wcMIwGSSmJqLOyjqYcXQGjjw9AqSlAdu3A7/+qtBt4gAkBgEhJ1V/4Ce/AdERwG4D4Js1iL12Ad6LvdF9fXeEJ5TAzB6GYXQPxwaAhYeYlE6mkIpQ2fnW1+JyzS8BUztoOxycMEwG5sbmGFlnJNqXaw8bUxvg1Clg4EAxtTgyUgy3k8+FUbW0k5YI3F8oCefx2TBJy3LSKxVRSVHwDfeFgzm7pTIMo6pbbK/cSzsktqeDJusKQOXx0AWM1b0AhtEkFnZdKHXQSHjJgHbtgFbkEKtQ2nnyuxgE2HhZwZbQT9eILw2HssDIv6QAh75eHk16hICYAGUTOIZhmIJ0J75/iOCk4RJybwQSgoH788XtdeeKgygdgIMThlEgMzAh6IN//Lg4l+PaGrAoI4ZpBRwAyvbP+8FIoHYvw2eg+nSlL43KTpWlE8MwjMq4dxQHRHEvxCBNGhVx51shtndsrFMTv7mswzB56E9WXVuFkPjXOVOr8jkVBZV2SDgb9xw4bwM8KStpWKhlmWEYpkgYWwJuncRlyp5EPxSZ3Eybet3JxHJwwjC5MGDzAIzZMybL0v7OHeCbb4TJkbxrh74cUvLouqEg5N5cIBnA36lAr/5IOLwPVZZWweQDkxGTFFN6L4ZhGN3Bq0+Wp8mNmYAsTZR73NpCl+DghGFyYVTdUfC284anjSe5BgFNmgDffgucOSO8SmyrAelJgN+O3B+Avjho2J3MBhg+EqhbF7vLxME3whe7Hu6ClalVab8khmF0gTIZotiwi4D/DpHNrZcx6VyHYM0Jw+TCoBqDMLDGwCwNynvvASEhgKOjSJ1S9uT2V6K0QzbRilB25e4ccbnBR8B7P0jbBsnSccDSQXKFVTJ9YxiGURULDzHxO/yKuF5htJhjpWNwcMIwuWBkaKS8gbxOFOu5pDuh4CT4qFDLWyjMxgk+BoRfBowsgKqTxTYDAxgZGKFbpSx3WIZhmCJRprcITowsgdrfQBfhwzeGyQdyiv3v5X+4GnhN+QabSoBTE6EteblF+TZ51iSkC+DPTrAMwxQzlcYCrm2FnYGlJ3QRDk4YJh9+OvcTWq9ujS+OfyE2REQA8+cDYWHKk4rlvD4PBJ8A0o2AH84BlSsj+fgRdFzXEb9e+lXqAmIYhnnj0k6nk0CFd6GrcHDCMPlAuhMrEytJHJtG83T69AFmzAB+/x3wGSzEaGEXgNin4g7UoUM4vAU0aAR4eGCXUyiOPzuOOWfmKPuoMAzDMLnC35QMkw8VHCog8JNA2JjZiA0ffABERQFVqoijF7cOQNBR4PlGUQeWbKUNgNbfAj2rAHFx6GSYjCXdlkiBCQcnDMMwBWMgy3X8qmYTHR0NOzs7REVFwdbWVt3LYfQJGgZoaJgljvVdDVx8H7CtDjjUFcZr3oOBVpvVvVKGYRit/f3msg7DqMir6Fc49uKkctdO2QGAoRkQfV8EJkT6ACA2Vm3rZBiG0XY4OGEYFbjgfwHlfimHoduGClErZVB27QJuPsoyRSLcugGjPgc8PZF67j+M2T0Gh54cYtt6hmGYQsDBCcOoQCPPRpJbbHWX6giODRZusf36ifNyGV07hOMYwMREKv3stw7EquurMHzHcKSkpahz+QzDMFoFq/MYRgVIyHrtg2twsnQSG0aOBJYvB+rUAdy7A179AEsvoP5A4OEA4OlTVLdPx6TGk+Bq5QozYzN1vwSGYRitgQWxDFNUkpMBU1N1r4JhGEZrYEEsw5QQSalJOPjkYM7AJChIzNVhGIZh3ggOThimEMSnxKPikorovr477oTcERvv3wf27QPatweqV0f6zRuS4ZpvuK+6l8swDKP7wcmKFStQp04dKRVDp+bNm+PAgQOZtycmJmLixIlwcnKCtbU1Bg4ciODgYKXHePnyJXr27AlLS0u4urpi+vTpSE1NLb5XxDAliKWJJZp5NUMZmzLwi/IDjh8HatQAevUCHj8G/PxwxOCpZHff5M8mSE5LVveSGYZhdFsQ6+XlhXnz5qFy5crSQLS1a9eib9++uH79OmrWrImpU6di37592Lp1q1RTmjRpEgYMGICzZ89K909LS5MCE3d3d5w7dw6BgYEYOXIkTExMMGdOxrA0htFwlvdcDgdzB5gYmQDlUgAfH6BBA2DePCAwELYOpuhasSuqOVeDqRFrUhiGYUpdEOvo6IgFCxZg0KBBcHFxwYYNG6TLxIMHD1C9enWcP38ezZo1k7IsvXr1QkBAANzcxIj5lStXYsaMGXj9+jVMVRQXsiCW0Sji4gArqxybydvEkGbvMAzDMKUjiKUsyKZNmxAXFyeVd65evYqUlBR06tQpc59q1arB29tbCk4IOq9du3ZmYEJ07dpVWuzdu3fzfK6kpCRpH8UTw2iKOVuCae4fIw5MGIZhikahvz1v374t6UnMzMzw4YcfYseOHahRowaCgoKkzIe9vb3S/hSI0G0EnSsGJvLb5bflxdy5c6VIS34qW7ZsYZfNMMXOkH+HoPmq5lh/e710nZKQm+5sQlxynLqXxjAMo1/BSdWqVXHjxg1cvHgR48ePx6hRo3Dv3j2UJDNnzpRSQPKTn59fiT4fw6hC0zJNJU1JQEyAdP3Ui1OSvX21ZdWQms4ib4ZhmFJziKXsSKVKlaTLDRs2xOXLl/HLL79gyJAhSE5ORmRkpFL2hLp1SABL0PmlS5eUHk/ezSPfJzcoS0MnhtEkPmj4AYbVHgZ3a/G3G5MUgwoOFdCpfCfJUZZhGIYpGm9cFE9PT5c0IRSoUNfNsWPHMm97+PCh1DpMmhSCzqksFBISkrnPkSNHJFEMlYYYRpuwNrXODEyI3lV74/FHj/FTl5/Uui6GYRhtx7iw5ZXu3btLIteYmBipM+fkyZM4dOiQpAUZPXo0pk2bJnXwUMDx0UcfSQEJdeoQXbp0kYKQESNGYP78+ZLOZNasWZI3CmdGGG0mKDZIKuV42XrBxsxG3cthGIbRn+CEMh7kS0L+JBSMkCEbBSadO3eWbl+8eDEMDQ0l8zXKplAnznIajpaBkZER9u7dK2lVKGixsrKSNCvfffdd8b8yhiklVlxegQn7J+C9eu/hr75/qXs5DMMwWg8P/mOYN+Sc3zm0/KslqjpVxb2J97iFmGEY5g1/v1m1xzBvSIuyLbB98Ha4WLlwYMIwDFMMcHDCMMVA/+r91b0EhmEYnYEP8xiGYRiG0Sg4OGEYhmEYRqPg4IRhGIZhGI2CgxOGYRiGYTQKDk4YhmEYhtEoODhhGIZhGEaj4OCEYRiGYRiNgoMThmEYhmE0Cg5OGIZhGIbRKDg4YRiGYRhGo+DghGEYhmEYjYKDE4ZhGIZhNAoOThiGYRiG0Si0ciqxTCaTzqOjo9W9FIZhGIZhVET+uy3/Hdep4CQmJkY6L1u2rLqXwjAMwzBMEX7H7ezs8rzdQFZQ+KKBpKenIyAgADY2NjAwMCj2qI6CHj8/P9ja2kKX4dequ+jT6+XXqpvo02vVp9crk8mkwMTT0xOGhoa6lTmhF+Tl5VWiz0F/HLr8B6IIv1bdRZ9eL79W3USfXqu+vF67fDImclgQyzAMwzCMRsHBCcMwDMMwGgUHJ9kwMzPD119/LZ3rOvxadRd9er38WnUTfXqt+vh6C0IrBbEMwzAMw+gunDlhGIZhGEaj4OCEYRiGYRiNgoMThmEYhmE0Cg5OGIZhGIbRKPQuOFm2bBnKlSsHc3NzNG3aFJcuXcp3/61bt6JatWrS/rVr18b+/fuhDcydOxeNGzeWXHRdXV3Rr18/PHz4MN/7rFmzRnLcVTzR69Z0vvnmmxzrpvdMF99Xgv5+s79eOk2cOFHr39fTp0+jd+/eknskrXPnzp1Kt5N+/6uvvoKHhwcsLCzQqVMnPH78uNg/9+p+rSkpKZgxY4b0t2llZSXtM3LkSMkZu7g/C5ry3r777rs51t6tWzede2+J3D6/dFqwYIFWvrclgV4FJ5s3b8a0adOkdq1r166hbt266Nq1K0JCQnLd/9y5cxg6dChGjx6N69evSz/wdLpz5w40nVOnTkk/VhcuXMCRI0ekL7suXbogLi4u3/uRM2FgYGDm6cWLF9AGatasqbTu//77L899tfl9JS5fvqz0Wun9Jd566y2tf1/p75M+l/SDkxvz58/HkiVLsHLlSly8eFH64abPcGJiYrF97jXhtcbHx0tr/fLLL6Xz7du3SwcXffr0KdbPgia9twQFI4pr37hxY76PqY3vLaH4Gun0119/ScHGwIEDtfK9LRFkekSTJk1kEydOzLyelpYm8/T0lM2dOzfX/QcPHizr2bOn0ramTZvKxo0bJ9M2QkJCqGVcdurUqTz3Wb16tczOzk6mbXz99deyunXrqry/Lr2vxOTJk2UVK1aUpaen69T7Sn+vO3bsyLxOr8/d3V22YMGCzG2RkZEyMzMz2caNG4vtc68JrzU3Ll26JO334sWLYvssaNLrHTVqlKxv376FehxdeW/pdXfo0CHffb7Wkve2uNCbzElycjKuXr0qpYEVZ/TQ9fPnz+d6H9quuD9BUXle+2syUVFR0rmjo2O++8XGxsLHx0caQNW3b1/cvXsX2gCl9imFWqFCBbzzzjt4+fJlnvvq0vtKf9f//PMP3n///XyHYGrr+6rIs2fPEBQUpPTe0YwOSuXn9d4V5XOvyZ9heo/t7e2L7bOgaZw8eVIqQ1etWhXjx49HWFhYnvvqynsbHByMffv2SZncgnisxe9tYdGb4CQ0NBRpaWlwc3NT2k7X6QsvN2h7YfbX5CnOU6ZMQcuWLVGrVq0896MvBEov7tq1S/rBo/u1aNEC/v7+0GTox4l0FQcPHsSKFSukH7HWrVtLky91+X0lqJYdGRkp1et17X3Njvz9Kcx7V5TPvSZCZSvSoFA5Mr+hcIX9LGgSVNJZt24djh07hh9//FEqTXfv3l16/3T5vV27dq2kDRwwYEC++zXV4ve2KGjlVGKmcJD2hPQUBdUnmzdvLp3k0A9Y9erV8dtvv2H27NnQVOgLTE6dOnWkDzFlCbZs2aLS0Yg2s2rVKun109GUrr2vjID0YoMHD5bEwPSjpKufhbfffjvzMgmBaf0VK1aUsikdO3aErkIHDpQFKUik3l2L39uioDeZE2dnZxgZGUkpNEXouru7e673oe2F2V8TmTRpEvbu3YsTJ07Ay8urUPc1MTFB/fr18eTJE2gTlPauUqVKnuvWhfeVIFHr0aNHMWbMGL14X+XvT2Heu6J87jUxMKH3moTP+WVNivJZ0GSodEHvX15r1/b3ljhz5owkdC7sZ1jb31tV0JvgxNTUFA0bNpRShnIovU3XFY8qFaHtivsT9AWR1/6aBB1lUWCyY8cOHD9+HOXLly/0Y1DK9Pbt21LbpjZB+gpfX988163N76siq1evlurzPXv21Iv3lf6G6UdH8b2Ljo6Wunbyeu+K8rnXtMCEdAYUhDo5ORX7Z0GTobIjaU7yWrs2v7eKmU96DdTZo0/vrUrI9IhNmzZJyv41a9bI7t27J/vggw9k9vb2sqCgIOn2ESNGyD7//PPM/c+ePSszNjaW/fTTT7L79+9LamkTExPZ7du3ZZrO+PHjpQ6NkydPygIDAzNP8fHxmftkf73ffvut7NChQzJfX1/Z1atXZW+//bbM3NxcdvfuXZkm88knn0iv89mzZ9J71qlTJ5mzs7PUoaRr76tiV4K3t7dsxowZOW7T5vc1JiZGdv36delEX0+LFi2SLss7VObNmyd9Znft2iW7deuW1OVQvnx5WUJCQuZjUNfD0qVLVf7ca+JrTU5OlvXp00fm5eUlu3HjhtJnOCkpKc/XWtBnQVNfL9326aefys6fPy+t/ejRo7IGDRrIKleuLEtMTNSp91ZOVFSUzNLSUrZixYpcH6ODFr23JYFeBScEvdn0pW5qaiq1oV24cCHztrZt20rtbIps2bJFVqVKFWn/mjVryvbt2yfTBugDkduJ2krzer1TpkzJ/Ldxc3OT9ejRQ3bt2jWZpjNkyBCZh4eHtO4yZcpI1588eaKT76scCjbo/Xz48GGO27T5fT1x4kSuf7fy10PtxF9++aX0OuhHqWPHjjn+DXx8fKSAU9XPvSa+VvoByuszTPfL67UW9FnQ1NdLB01dunSRubi4SAcK9LrGjh2bI8jQhfdWzm+//SazsLCQ2uFzw0eL3tuSwID+p1qOhWEYhmEYpuTRG80JwzAMwzDaAQcnDMMwDMNoFBycMAzDMAyjUXBwwjAMwzCMRsHBCcMwDMMwGgUHJwzDMAzDaBQcnDAMwzAMo1FwcMIwDMMwjEbBwQnDMAzDMBoFBycMwzAMw2gUHJwwDMMwDKNRcHDCMAzDMAw0if8DzKCphmdHlFMAAAAASUVORK5CYII=", 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cbIZ4hd0waljnlVdeYejQoYSHhxMTE8O0adNwdnZm1KhR+Pn5MXbsWCZNmkSNGjXw9fXl+eefJyIigi5dugDQr18/WrRowejRo5k5cyaxsbFMnTqV8ePHy7CNEEKYyMUFAgJsHUWe1GjYOBRuHFTJSJd5ED7S+OP4tYBoir1yArBmjUlRCjtlVHJy8eJFRo0axdWrV6lVqxZ33nknO3bsoFbe0peffvopTk5OjBgxgszMTPr378+XX35peL2zszPLli1j3LhxRERE4O3tzaOPPso777xj3nclhBDCdq7sgk3DICMWPIKg+x8Q0Llixyplxo6ovHSa5ngl0ElJSfj5+ZGYmIivr6+twxFCCJvavRtefx369VNN2GwqailsHwO5GeDfWjVW8w6v+PFuHIYVbcDVH+67VmJ3uaQktVJxtWoVP5WwvPL+/pa1dYQQwsFt26aGNzZvtmEQmgZH3oMtD6jEJHQw9N1qWmIC4NNENWrLvqGuxBTj2WehRg346SfTTiXshyOsviCEEKIUQ4eCpyeEhtoogNxM2PkknF+oHjd9CW77CJycTT+2sztUawTJp9TQjmfILbsEBqr+LocOmX46YR8kORFCCAfXoAE8/bSNTp6RoGbkJGwFnTPc/l9o/Kx5z+HXoiA5Ce59y9PjxsHYsRBu4kUaYT8kORFCCFExicdgwxBIPQeuftDtZwi2wGI3fi3g4u8lFsWG3HoxRTg4SU6EEMKBnTsHR4/C7beDVXtZpl2Ef7pCdiJUa6DWyPFrZplzldLrRFROUhArhBAO7JdfVM3J+PFWPvGFH1Vi4t8a+u20XGIC5ZpOfPy4Kox94QXLhSGsR5ITIYRwYN7e0LIldOpk5RNfWqa+NnoGPCzc+c23KaCDzCuqxqUYKSnw9deqQ65dL34oykWGdYQQwoGNG6duVu1YlXUdErao+6GDLX8+Fy+oVh9SzqqrJx49btmlfXt45RXo3l0WMK4MJDkRQohKoITeZJYRswq0XPBrCdXqWeecvi1UcpJ0DIJuTU6cneGjj6wTirA8GdYRQggHpdfb6MQxy9XX2kOsd05pY1+lSHIihBAOauZM1ePks8+seFJ9LsSsUPdD7Ss50TQ4eRJmz4bMTCvFJSxChnWEEMJB7dmjphLn5FjxpFd3QNY1cKsOAV2sd95yXjnp0QPi4lSRcPfuVohLWIQkJ0II4aC+/Raee05dPbGa/Fk6IQPByYq/QnzzpipnxELmNXCvccsuOh0MGgTnz0tRrKOT5EQIIRyUvz/06mXlk9qi3gTA1Qe86kJaFCQdh1p3FLvbnDlWLg4WFiE1J0IIIcon9QLcOKzW0Anpb/3zl2NoRxKTykGSEyGEcEC//64KYU+csOJJL+VdNQnoWuywisUZMWMnOxsSEy0cj7AYSU6EEMIBzZ0LL70Eq1ZZ8aT59SbWHtLJV87k5PPPoUYNePddK8QkLEJqToQQwgH17au+du1qpRPmpELcOnXfVslJORcArFVLtbPfs8cKMQmLkORECCEc0IQJ6mY1setAnwne9cG3uRVPXIhf3nnTLkJ2Erj6FrvboEGwfz+0aWPF2IRZybCOEEKIssXkD+kMtl3VqZs/eIao+4nHS9zN3x/atQMn+Q3nsOSjE0IIBxMTAxkZVjyhphUUw1qzK2xxfKWNfVUgyYkQQjiYJ58EHx9YvNhKJ7xxENIvgYt3sYvuWZVf+epOEhLg3/+GBx+0QkzC7CQ5EUIIB3PhgmpZb7XOsPmzdIL7gLOHlU5agnLO2HF1hQ8+gJ9+gkuXrBCXMCspiBVCCAdz5AhER0NwsJVOmJ+c2HpIB8qdnPj7qysnDRuqq0zCsUhyIoQQDkang7p1rXSyjHi4ukvdDx1kpZOWIr/mJPW8mt7s4l3iru+8Y52QhPnJsI4QQoiSxfwNaFCjA3iF2joa8AgA91rqfpI12+MKa5LkRAghHMiLL6r+JqdOWemEhiGdwVY6YTkY0cY+IQGWLFEznITjkORECCEchKbBggXwv/+pDqgWl5sFl/P649uqK2xxjEhO7rsPRo6EZcssHJMwK6k5EUIIB5GbqxKTvXuhVSsrnDBhM+Qkg0eQGtaxF0b0OundG27cAA8bTzISxpHkRAghHISLC4wapW5WYWi8Nhh0dnSh3YgrJ2+8AW++aeF4hNnZ0f82IYQQdqVwy3p7kp+cpJ6FnPRSd7VVp31hGklOhBDCQaxZA6dPg15vhZMlnYLk0+DkCsF9rXBCI3gEgVt10PSQXL7KYE2D5GQLxyXMRpITIYRwAHo9DB8OTZqoJmwWF5M3pBPYE1ztrIuZTmfU0M6KFRAWBg89ZOG4hNlIciKEEA7g2jVo2RJq1IAWLaxwwvwpxPY0S6cwI4pig4NVC/udO6101UmYTJITIYRwAAEBsH276tvhYumpDFmJEL9J3ben/iaFlXMBQIC2bdWQ2IUL4CS/9RyCzNYRQggHYpVfrrH/gJYDvs3Ap6EVTlgBRgzrODurKcXCcUgOWclkZKgOktINUQhRYflTiO11SAcKkpPk06pZnKhUJDmpZD78ED7/XP2VIGOrQlQOOTlQrx4MHAhXr1r4ZPpciFmh7tvrkA6AZ21w8QEtVyUoZcjOhv/8B4YNg/TSZx8LOyDDOpXAkiWq++Hdd6vbihXwyismXv7V50DaRUiLgtQL6pYRB/VGQ0Ans8UuhCjbiROqXuLqVfD3t/DJru2GzARw9YNad1j4ZCbIn7FzdaeqO/FvWeruLi7wySfqqvL27dCrl5XiFBUiyYmDS0iAZ5+F69fh11/h3nvVN17hxkMbN8LSpfDee+Dnl7cxJw1S8xKPtAsFCUj+Lf2S6iFwywm3wMD9VnlvQgilSRPYtQsuXlT1ExaVP0snZIDqcWLP8pOTctSd6HTw8svqfpMmFo5LmEySEwfn7Q3PPANr18LQoWqbk06DrOuQeoHc5Ats/e4C9XOjuLDwAm0a5iUfmQllH9zJFbzqgnc4eNWBcwvg+gHISACPWhZ9X0KIAm5u0LGjullcjAPUm+QzoigWYNIkC8YizEqSEwfn5QUzZkBOtobL4X9BzN8q+chRS5Y6A6/3L/SCa4Xuu/ioxMM7HLzzk5Dwgm2ewUXX07i+H24chrh1ED7SGm9PCGFNaRfVHyDo1JUTe2dErxPhWCQ5cVCaVnToxiVxJxz/uOhOHoF5yUbdQkmIur36Vjg+Nf2ZPFmHu3s5TxrUWyUnsWslORHCSrKz4YMP4PbboV8/Cw/r5M/SCYgAjwALnshMDDN2Tqo6Oaeyf6Wlp8O2bRAaCs2bWzg+UWGSnDiomTNh92747DOoUweI/E49UeceaPeBGo5x8Sz2tYcOwcez1P3+/aFz53KeNLgPnPwM4taaFrwQotyOHFGr6vr5qdoyi7L3rrA3864Lzl6QmwYpkeDbtMyXvPQSfP21+vqf/1ghRlEhMpXYASUlwfvvwy+/qFoTclLhwo/qyaYvqm/QEhITgNat4ccfYcqUoolJbm4ZJw7sDjoXSDkLKedMfRtCiHJwdYVHHoERIyy8wm5OesEfHo6SnOicwC/v8kc5h3buuktdNfGxs+WCRFGSnDggX1/YvBkmToQxY4CopZCTDNUaqQSiDDodjBypEpx816+r9Tq++qqU/iiuPlAzbxpxrFw9EcIaWrWC77+HOXMsfKK49ZCbDl5h4NfKwiczIyPrTu67T816evttC8YkTCbJiYNq00YN6eh0FAzpNHy8wn9affklnDoFs2aphk8lCu6jvsrQjhCVS0yhIR2LXqIxMyNn7Dg7O9bbq6qk5sSBpKaqIZ2QkEIbk05BwmZ1ebP+oxU+9muvqSsy7dqpaYugim7T0tR0ZYPg3nDkHXXlRNMXnc0jhDCrnBxISbFC4zVNK6g3CXWQIZ18hgUAjxv90vR08Cx5BFzYkPxmcSDvvAPNmsGiRYU2ns27ahIyALxqV/jYzs7w/PPQrVvBtiVLoGlT+P33QjvW7KIK0DIT4MaRCp9PCFG2/fuhenWIiLDwiRKPQFo0OHtC0F0WPpmZFU5O9GUVzinHjqmVitu2tWBcwiSSnDiInBxVZ5KUVKjLqz4Hzs5X9xuONev5NA3++1+4dEnN7jFwdiuoa5GhHSEs6ljeSIXFr5zkXzUJ6l1qMb1d8q4PTu6Qm6G6XZdD7dpqFtTp03D5soXjExUiyYmDcHFRycmyZTAk/6przN+QEQvutcx+KVang3/+gY8/hsmTb3oyOG/tcSmKFcKiHn0UrlxRfyhYlKNNIS7MyRl8m6n75aw78fODv/+G+PibhsmF3ZDkxIE4O8PgwouE5g/p1B+trmiYmaenWosiv0lbcjIsXw5aYF5yEr8R9NlmP68QokDNmtCwoQVPkHEFrmxX92vb8SrEpTGyKBZUQ7tasgqH3ZLkxM5dvaqmEN4yvTc9ruCvHTMP6RQnK0s1exsyBI7HtgX3mqpF/tVdFj+3EMKCLq8ENPBvq9bQckQVSE6EfZPkxM5NngxPPqluRZxbAFqOKlDN/8a0IDc36NoVGjWCy7FOEJS33rgM7QhhEfv3q2Gd+fMtfCJHHtLJV8HkZNEi1Svq7FkLxCRMIsmJnWvdWk3xHVv44oimFQzpNHzCarEsXaoKyHr3RhXOAcSusdr5hahKNm+GBQtUJ2iL0WfnXTnBsZOT/EZsScfUz8dy+vpr1eBurfyNZXekz4mdmzgRHnus0AwdUOPDSSfUlF4rLsBXrVqhB/lFsVd3qPb5Lt7FvkYIUTHdusG0aap9gMUkbIXsRFVUX6OjBU9kYT4NwclV/SxKi1Zr7pTD44+rf+dyry8mrEaSEwdQJDEBiMzrYx3+ALj6Wj0eTYMM54Z4eodD6gWI3wyhDrC8uhAO5Lbb1M2iYvJWIQ4dqGa9OConV/BpAolH1dCOEcmJsE8yrGOHoqNh4EA4erSYJ7NTIOondb+B9YZ08v31FzRuDE89rZOhHSEcXWWoN8knRbGViiQndmjyZFi5UnVsvUXUEnXp0qcx1LrT6rH5+UFkJKxbB1p+ciLN2IQwq0uXYN8+NUvOYpLPqOFhnQsE97PgiaykcN2JEfR6VXx88KAFYhIVJsmJHfrgAxg+XC3Cd4v8IZ0GT9hk9aquXeHXX+HkSdDl151cP6B6JQghzOLHH6FDB3joIQue5FLekE5gd3C7eezYAVXwyslHH0H79vDuuxaISVSYScnJBx98gE6n48UXXzRs69mzJzqdrsjt2WefLfK6qKgoBg8ejJeXF4GBgbz66qvklLoUbtVSt66q0G9186rliSfgyjbQOUODii/yZwoXF7j3XvDxATyDCpZWj1tnk3iEqIwyM9WaOh06WPAkhnoTB228drPCyYkRM3a6dVPF/h4eFopLVEiFC2J3797N119/TZs2bW557qmnnuKdd94xPPby8jLcz83NZfDgwQQHB7Nt2zYuX77MmDFjcHV15f33369oOJXCjRtlrKGRP304dBB42knP5eDeatGwuLWqQFcIYbLXX4cpUyw4rJOdDPEb1P3KUG8Caqhb56xmH6VfBq/Qcr2sc2e4dg1cXS0cnzBKha6cpKSk8PDDD/PNN99QvXr1W5738vIiODjYcPP1LZhR8s8//3Ds2DEWLlxIu3btGDhwINOnT+d///sfWRYdYLVvx45BWBi88QbkFrewpj4bzuV1Y7JBIezNvvsOhg2DeOc+aoM0YxPCrHS6gqUjzC52tfqZ4tMYfJtY6CRW5uwOPo3UfSPqTpydJTGxRxVKTsaPH8/gwYPp06dPsc8vWrSIgIAAWrVqxZQpU0hLSzM8t337dlq3bk1QUJBhW//+/UlKSuJosdNTIDMzk6SkpCK3yuaHHyAlRa0A7FzcjL6YFZARDx5BdrH+xXffwZ9/wp/bu6u/VlIiIeW8rcMSQpTHpUo2pJPP17QZO1JdYD+MTk5+/PFH9u3bx4wZM4p9/qGHHmLhwoWsX7+eKVOm8P333/PII48Yno+NjS2SmACGx7GxscUec8aMGfj5+RluYWFhxoZt96ZPV3UmxRbBQkEhbP0xak6/jY0bpwrIevTxhZqd1EaZtSOEyWbNgjvvtGDbek1fUG9SWYZ08lWwKDY2Fnr2VOuHFXvlWlidUTUn0dHRTJw4kdWrV+NRQvXQ008/bbjfunVrQkJC6N27N5GRkTSs4NKaU6ZMYdKkSYbHSUlJlS5B0enUDJ1ipV9WV07ALoZ0AB5+uNCD9D6qa23sWqssQihEZbZ5M2zdqoZNLeLaXsiIAxcfqNXNQiexkQomJwEBcOAAJCaqrxYtRBblYtSVk7179xIfH0/79u1xcXHBxcWFjRs3MmvWLFxcXMgtJuXsnNcX+MyZMwAEBwcTFxdXZJ/8x8HBwcWe193dHV9f3yK3ymL5clWZX6pzC0DLhYCu4GfJXtYVVLjfiRFV8kKIW82YodZ7uftuC50gv/FaSH9wdrPQSWzEkJwcNepnkYsLLF6sWiS0b2+h2IRRjLpy0rt3bw4fPlxk2+OPP06zZs2YPHkyzsUUSxw4cACAkBA1uyQiIoL33nuP+Ph4AgMDAVi9ejW+vr60aGH51XXtyY4dMGQING0Ke/bctHZNPk2DyPxF/uzrqkRurnoPV+O7cLezp6qJSTwC/q1tHZoQDqtRI3WzGMOQTiWrNwHwaQroIOsaZCaAR2C5XzpwoOXCEsYzKjnx8fGh1U3NN7y9valZsyatWrUiMjKSH374gUGDBlGzZk0OHTrESy+9RPfu3Q1Tjvv160eLFi0YPXo0M2fOJDY2lqlTpzJ+/HjcLVaabp9u3IDgYIiIKCExAbUwV/IptbBe3futGV6ZVq9W39B16rgzdH53dLGr1NCOJCdC2Ke0GDWsgw5CKuFvYxdPqNZAFegnHjMqORH2xawdYt3c3FizZg39+vWjWbNmvPzyy4wYMYK//vrLsI+zszPLli3D2dmZiIgIHnnkEcaMGVOkL0pVMWAAnDgBn3xSyk5n8wph644EVx+rxFVePXpA7dqqiVFm9fx1dqQoVoiKWrsWliyBmBgLnSC/dq1mJ9VEsTIyYY2d1avhpZdU3YmwLZNXJd6wYYPhflhYGBs3bizzNeHh4axYscLUU1cKt6w4XFh2ElxYou43tI9C2MI8PdUihTodcK03HEc1dtJn28WMIiEczRdfwB9/wKefQqHG2+YTU4kW+iuJXwu49FeFkpOvv1azJgMCoF0784cmyk/W1rGB116DTZvKseOFJZCbBr5NVTGsHTIs71O9HbjVgJwUuLrbliEJ4bDatIHbb1ddS02haRo3Mm4Uedx1ThdG711GbA6Vr79JYRVcABDg/vvhmWfgjjvMHJMwmiQnVrZyJXz4IfTuDRcvlrGzYZG/sTZZ5M8YV646kRPQSz2QoR0hKuSdd2D3blWHVlFZuVk8+eeT3PHdHSRmJAJw/sZ5tl/cyU9Jufh6B6s/JoDfT/zOR1s/4njCcTNEbydMGNYZORK++kr1PBG2JcmJlXXqBE8/DRMnqoY/JUo8Bld3qO6r9UdbLb6KGDsWgoJg78X8KcVrbBuQEFXYtfRrrIxcyYkrJ9hwfgMAwdWCWdXpbmbVAq+wuw1/7Hy3/zv+teZfrDhdMMyenp3OP5H/kJTpoJ24ffPaLWTEQeZV28YiKszkmhNhnBo11LhmmVPw86cP1x4CnsX3f7EXISGg18P6433o3BLVkC0nVc0wEkKUS2oqeHmZfpE0uFowfz74J/Gp8QxsrGbkeLp40C/rEPgDoQX1JoMbD8ZJ58Rd9e8ybNtxcQf9F/Yn3C+c8y+eL4gvKxVvNwf4nnatBt7hkHoBEo9D4J1GH+LCBbh+XepObEmunNhIqT+AcrNU4zVQQzp2bvx4iIqC195tCF51VUFs/BZbhyWEQ3ngAZXoF5rcWG5rzq5hW/Q2w+MOoR0MiQkAScch9Tw4uUNwL8PmZ25/ht8f/J32IQWdxxIzE6nvX5+IsKJjSxFzImg0qxF7Y/YaH6C1mVB3smgR1Kunrm4L25HkxEouXFDLoK9bV46dY5blNRAKhlD770UQEqJWVEang2AZ2hGiIg4cgLg4CDSyNceqM6sYsHAA9/x4D1GJUcXvlN8VNqhXmVc072l2D2cnnmXesHmGbcmZyRxLOEbk9Ujq+BaMRy85uoTPd3xuXMDWYELdSefOBYuv6vVmjEkYRYZ1rGT1atWWessW6NWrjJ3zh3QaPApODvYRBfeBs3OlKFYII50+DQcPGj+UcGfdO2kT1IaWgS0J9C4hs7lk/BRid5eCppg+7j5c/ddV9l7eS1A11R9F0zRWnF7B/IPzCfUJ5f6WdtQk0oTkpGFDNaTjY19tpaocB/vN57iaNIExY8qxoFTaJbj8t7pvJ4v8lUdMDEybBtcv9+Lnh4DrByDjCngE2Do0IRyCl1f5Z+lk52bj6qx6CXm7ebPu0XX4ufuhK268OPMaXNmq7pvQst7Pw49e9Qv+stLpdNTwrEGTmk1oHWRnXaFNSE50OklM7IEM61hJ9+5qCfQXXihjx3Pz1ZLmte4E3yZWic0cvLxg3jz4ZXkwWZ4tAQ3i19s6LCEqnXPXz9H+/9rzw+EfDNv8PfyLT0wALq9SP1P8WqlCUTP6qO9H7HpyF80C7GxBUt/m6mv6JchKrPBhZB1T25HkxJ7Y8SJ/ZfH3h48/Vn1cnEKllb0Qxnj7bXj/fdVxuSwLDi7gSPwRpq6bSmZOWUuaU6EhnfJydnLGz6OgzXXktUiyc7PNfh6jufmBZ211P8n4Hi4ZGXDffaqeLjnZzLGJcpHkxArOnYP4+HLsGL9JLVjlUs3uFvkrj4kToX9/cKndR22Q5ESIMmkafP45/Pvf5fs5MbX7VP7V9V9senxTkbqQYulzCoaJLdyyfvmp5dz29W28/M/LFj1PuZkwtOPhAfv3qwLlzZvNHJcoF0lOrODf/1ZNymbNKmPHs3lXTcIfdOweIUE9VPO4lDOq14AQokTZ2TB1Kjz0ELQupnRDr+n56chPaHljDM5OznzY98Mis2ZKdGU7ZF1XS0vU7GLmyIvK0eeQnJXMwbiDZORkWPRc5WJCcgLq5/W2bdC3rxljEuUmBbFWcO2a+tq2bSk7ZSVC1FJ138GGdAo7exb+/NOXJ+p0xDdrh7p6YoeLFgphL9zcYNKk4p/TNI3Rv43mh8M/cOLKCab1nGbcwWOWq6+hA8HJ2bRAyzCs2TCWP7Scvg36Gop1bcrE5GRwJV5+yBHIlRMrWLkSrlyBrqWt3XfhR8hNV4VcNU1c9cuGPv9cLTm+8aQM7QhhKp1Ox1317sLVyZV6/vWMP0B+vUmodVYhHtR4UJHEJFefa5XzFsuERmzC9iQ5sZKaNcG1tD8mzhYqhLXzRf5KM2yYWtTQuXZ+M7a1UvIuRCkOHICkm5ax0Qp9zzzZ/klOTjjJo+0eNe7A6bGQeBTQQWh/k+M0hqZpfLHzC3rO72m7IR6/vBk7qRcgO6VCh9i3D6ZPh61bzRiXKBdJTuzBjSNwdRfoXOx+kb+y9OoFa9bAoNER4OypFt9KPGrrsISwS3o99OihZrsdz5tU8tvx3+i3sF+RX+r1q9c3/uAJeb9R/VuDW3XTgzXm1GkJTNswjS1RW1h4aKFVz23gXhM8VMM4kk5U6BDffgtvvglLlpgxLlEukpxYkKbB7bfDI4+oqu8SRc5RX2sPBQ8je1fbK2d3qNVN3ZehHSGKFR+vEhMPD2jcGBIzEnnqr6dYc3YNX+z8wrSDX8lbayegtPFkywj0DuSn+37i474fM/Y2G9bQmaHu5L77oFs3M8YkykWSEws6cQL27oVffgE/vxJ2ys2C89+r+w5cCHuzzEw4n1loaEcIcYvgYLXuVkwMuLioLqxL7l/C852e56WIl0w7eP6Vk1p3mB5oBfRt2JeXu75ccnM4azCx7mTwYFi6VCUowrokObGg+vVh7Vr473/VX0bFuvQnZF4Fz1AIse64sKUkJUGtWjDiufzkZIPqtyCEuMWVtCvE5Zw0PO5VvxezBs7CxZR1tXLS4fo+dd9GyUlhOfoc/r3235y/cd66JzbxyomwHUlOLMjDQ9VgjC3tgkj+kE59B1zkrwS+vtC0KcRmtiPbqQbkJMPV3bYOSwi7otfDgYsn6PxtZwYsGkB8ank6NZbTtd2gzwbPEPCuZ77jVtAr/7zC+1ve596f7iXHmn+omCk5SUyEw4fNEI8oN0lObCk1Wq17AZWuF8iyZRB90RnX2nepDTK0I0QRK1fCXb00km+4okPHjYwb5jt4/pBOwB12Mfvv5YiXaVi9IW90f8O0K0LGyk9OUs6qq0kVsH491KgBDzxgxrhEmSQ5sZBz59RaM/v3l7bTfECDwB7g08haoVlFUBA4OQHB+evsrLFpPELYmx9+gBunmzMyaRe7ntpFk5pmXOjTxvUmNwvzC+P4+OMMbz7cuid2r6Vm7aBB8skydy9Ou3bqa24upFRsRrKoAElOLOTvv+HVV9WtWJq+YJG/BpXrqkkRQXnN2K5sh5w028YihJ24ln6NefPUFNV/TfQlwCvAfAfX9AUzdewkOQGKNGdLykxi58Wdlj+pTldQFFvBoZ3q1VXB8qlTUK2aGWMTpZLkxELq1oUhQ9StWPEbIfUcuPhA3cpZCv7773Bbj0ZczwwDfRYkbLF1SELY3O8nfqfB5w1YfuYP7r8fwsLMfIKkE2o9HWcvqN7OzAc3XUxyDF2+7UK/hf04eaViVzOMYoa6k6AgM8Uiyk2SEwsZMgT++gtefLHo9lx9LpeTLxcUwtYbBS5eVo/PGvR6OHBAx7pjMrQjRL5v9s4hMTOR9efXW+YE+UM6NTuBkx2scXOTAK8AanrVpJpbNVKyrDBOIjN2HJIkJ1a2+MhiGs5qyPv7f1IbGlSe3iY369sXFiyAvqNlnR0h8jU7+Cthh2cx0Pkjy5zAzupNbubm7MbP9//Mnqf20CG0g+VP6Gf6GjuaBuPHq0Z5F2ShdauQ5MQCLl2CtBLKK/4+8zfpOek4aTng1wpqdrRucFbk4wOjR4Nv415qw/X9qqeLEFVUTg4sXuhK9C/Pk51poasadp6cAARVCyLEJ8TwODkz2XIny685ST4DuZkVOoROpxpqnjmjZu8Iy5PkxAImTlRFVPPn3/rcwnsXsrxpI573R00f1uk4HHeY/+36H1m5WdYO1To8Q/L+etEgTr6zRdUza+csZu2chbOzxqFD8NlnMGiQBU6UHgcpZ9T9gAgLnMD8tkRtofEXjVl6dKllTuAZAq5+oOVC8ukKH+bNN9VQ/XArTziqqiQ5sYDISMjKgiaFZgb2+74fE/+eSHzMegbpz+Dt4gr11CJ/U9ZOYcLfE3h51cs2ithyNA0WL4ZVB2RoR1RNR+OPMmnVJCaunMiqyFUEBKg/YJws8dP3ynb11a8luPlb4ATm99fJv4hLjeOznZ8VWY3ZbHQ6s9SdDBqkagl9fc0UlyhV5WhJamf27YOzZ9WMHYBjCcdYfXY1G85v4B3/vMuKtYeBRwCapjGo8SAOxh3khc4vGI6RnZuNi5OLbdelMAOdDt55Bxp79ab/y7OkGZuoclrUasEn/T5h/+WD9G9o4SUqrtj/kM7N3uv9HjU8azCh0wTL/bzza6ESNymKdRhy5cQCdDpo2BBc84aUG1RvwJ8P/skHvd7F71Lepcu8jrA6nY7nOj7HuYnnaFyzseEY72x8h25zu7Hr0i5rh292zz4Lt/XvgYaTuqyaGmXrkISwGp1OxwudJ3L6kzk88oiOKEv+9y/cGdZBuDi5MPnOyXi7eVvuJCYuAJjv7Fn48ktYIxMPLU6SEyvwcPFgaNOhTKpTD7KugVcdCO5XZJ/CLZ0zcjL4au9XbI3eSkxyjJWjNb+JE+Ht9/3Q1eykNsjQjqgCfjv+m2EdmUOHYNtWHb/8UsoioKbKzYBre9V9B7pycrPFhxczefVk8x7UTNOJFyxQs3bmzDFDTKJUkpyYkV4P3burX8Y3bhSzw9l56mv9x8DJucTjeLh4cOCZA7zf632GNR1m2L7j4g4ir0WaM2Trym9lL0M7opJbcHABw5cMp9/3/cjR59C2rZrt8eWXEBhooZNe3aOaHXoEQbUGFjqJZR1LOMbDvz7MzG0zWXlmpfkOnJ+cJJ9SCyJWUN++ajHXOxw393MYUnNiRocPw+bNqubk44/VtqVHl5KQlsCIJkMJit+gNoaXvYJUbd/aTOk2xfA4R5/DY78/RuT1SH4b+RtDmpTUetY+aRpEpvamEe+pKyeaZhcLkglhCT5uPlRzq0b38O6Gq6Lt26ubxRSuN3HQ760WtVowrcc0MnIy6Nugr/kO7BUGLtUgJwWSI8GvWYUOc8cdsFb+trIKSU7MqH59WLoUYmML6k0+3v4xuy7tQpdyjnG56eAeoCrpjXQ9/ToNqjfgStoVuod3N3PklvfTT/DYmAhufOOBB7Hq8qq/8f8OQjiCe5vfy6HgQ4T7h6PXW2hmzs0csN6kOG/2eNP8hbE6Hfg2h2u7Vd1JBZMTYT0yrGNGvr5w330wYYJ6rGka97e4ny51unCPT14eGNgddMb/s9fyrsWKh1dw5Lkj+LoXzGV7+q+n+XDLh6Rl2/eien36gKu7B8evdlMbZGhHVDJ6TV+kHXv96vW5fs2Jhg1h+nTIrvhoQtk0zS4X+6uIwomJpmn8d9d/zdOkzYxt7LOz1UKAwnIkObEgnU7HK11fYfvY7YQk7VMbA3uYdMzgasGG+wdjD/LNvm+YsnaK3deiBATA1atw2wBZZ0dUTm9veJtO33TixJUThm3z5sH58/Dbb+BiyevUSSdV92VnD6h+mwVPZF0vrnyR5/9+ngd+fsD0HihmSk6OH1dNNrt2VXWGwjJkWMdMzp2DDRvgrrugXr2bntRnF4wHB/Y02zlbBbZiwT0LOJZwjNZBrc12XEtxcwOC8pKT+I2gzwEn+S8oHF9yZjLfHfiOi0kX2X1pN80C1LDBCy9A7drql5lFy0CuFFrsz9nNgieyrofbPMy8g/MY2XKk6UM9ZkpOGjVSX3U6uHixoJ+VMC/5zWAmf/wBL70EAwfCihVwNe0qB+MOqoK4a/sgJxXcaoB/K7Od09nJmdFtRxfZlpCawNd7v+bf3f5tnw3cqt+G5lodXfZ1uLYHArrYOiIhTObj7sOep/aw9NjSIt+Trq7w4INWCKCS1JvcrFPtTpybeI4anjVMP5hhAcAToM8tdcZkaVxd4cgRlZRYpZaoipJ/WjOpVUtd5uubV2C+9NhSei/ozeAfBkP+LJ3AbhWqNymvrNwsun7XlTfWv8FH2yy04qmJHh/rzO/b71IPpN+JqESCqgUxoZMqONM0dbMaQ71JVyue1DoKJybp2emsPVvBnxte4eDsCfpMSD1nUkz16kliYmnyz2smDz8MW7eqqyegGqnV9KxJr3q9IG6j2mjGIZ3iuDm78a+u/6JJzSZ2O9XY3R1WH5a6E+H4NE3jpZUvsenCplueW7UKOneG33+3QiAZV1TNCUBA5UtO8iVnJtN7QW8GLBrA6sjVxh/AyRl882bpSBt7uyfJiYW82OVFYl+J5fmO4yBhi9poYjFseTzV4SkOPHOAFrVaWPxcFfHKK/DyR3mLAF7ZBjn2PctIiJIsPLSQz3Z+Rv+F/YlNiS3y3BdfwO7dsOnWvMX88q+a+DYHdzMMf9gpbzdv6vnXo5pbNdxd3Ct2EDPO2Hn/fZWA7t1r8qFEMaTmxAyuXlUFbzdf5nNxcsEl5RTkJKslu/3bWCUeT1dPw/0z184Q6hOKl6uXVc5dlkaNAK0xnK8DaRfVWHmIGZstCWElw5sPZ2XkSm4Pub3ILDqAuXNVN9jHH7dCIAmOt9hfRTjpnJg7bC7RSdE0qtGoYgcxY3KyYwfs2qWasnXoYPLhxE3kyokZPP64mir722/q8fX06wVPGupNule4AKuiVpxeQYf/68Czy561zFLkFaXTFczakaEd4aC83bxZeO9CXuzy4i3PBQbCW29BeLgVAnHAlYgryt3FvUhicjn5MjcybpT/AGZaABBUP6v58+GRR0w+lCiGJCcm0jQ4cACuX1fV20mZSYR8EkLEnAgSMxIL1ZtYfkjnZl6uXqRmpXLuxjm7atIWHQ2L1uYN7UgzNuFAsnOzWXVmleGxTqez7ay43Ey1pg5Uupk6ZTmWcIwuc7pw70/3kpmTWb4XGa6cHAfNtCYl/frBmDEQGmrSYUQJJDkxkU6nltHesQPatYNt0dvIzM3kevp1fF29IWGz2tEGyUnPej1ZPXo1a8estexy5EbS6+HVT3oBoF3bB5nXbByREOXzr9X/YsCiAbyx7o1in3/zTfUL6/hxKwV0ba+afeJeC3wqONThoLJzs7mefp2Y5BiupF0p34uqNQAnN8hNg9QoywYoTCI1J2bg4qIKowAGNBrApUmXiEqMQpd4CLITwcUHqrezSWx31b+ryGO9psfJgtOZyyM8HJ4YH0qSrjm+2nGIWw91R9g0JiHKomkanq6e6NBxe+jttzyfnq4KYW/cgBEjoHlzKwSV4PiL/VVU2+C2rHxkJU1qNiHAK6B8L3JyAd+mcOOwqjupVs+kGBISVM2Jry8MGmTSocRN5MqJBYT6hNKlThfVBRVUfxMbd0LNX6Oi57ye5b8EakHvvgu+jWVoRzgOnU7H+73f5+hzRxnWbNgtz3t6wj//qK6wQ4daKagqVG9SnK5hXYskJkXq/Urim5c1mqHuZMkSGDUKPvnE5EOJm0hyYoKcHJUtv/02pKYWs0O87epNbhafGs8b699gc9RmFh5aaOtwlOD8olhJToT9Ss9OL1JQ3rxWyZdEOnaEzz+3UoMuTYOEvGnEVazepDgrz6yk/uf1+fPkn6XvaMYZO716qeH8LtLo2uwkOTHB/v3w99/w2Wfg4QETVkzg8T8e52j8UVVsFZ/X5MAOkpOgakH8MPwHPun3CU/c9oStwwHgcm4P9JoTJJ+C1GhbhyPELfSanpE/j2TEkhEkZSbZOpyikk9DZgI4uUON9raOxuZ+P/E7iZmJzNk/p/TZiWZMTpo3V78H3nvP5EOJm0jNiQnCw+GrryA5GXK0TBYcXEByVjJPt39ajWlmXQeXanbzg2Ng44EMbDzQ1mEYvPpvfyY06UiXRjvV0E6Dx2wdkhBFrD+3nmWnluHm7EbktUhuCyl+xd/hw1WviwkTwM/PSsHlN1+reTs4V7ApWSXyxcAvaFKzCRM6TSh9BpVvoeRE06pcrY6jkCsnJggMhGeeUV1PXZxc+GvUX7x2x2t0rtO5YEin1h3g5GrbQIuRo89h+sbpJKQm2CyGoUPh+DUZ2hH2q3eD3hx89iBL7l9SYmKyfbvqcfTOO5CRYcXgKulifxXl6uzKpIhJuBValTlXn3vrjj6NQeesmmOmXzLLuTUNomTyj1lJcmImzk7O9KjXgxl9ZqjZMHZUb1KcccvG8eaGN3nwlwdt1qBt5Eh4/LVCzdjsqVGcEHlaB7Xm7qZ3l/h8hw7w/feq6VpQkPXiqiqdYStq1s5Z9Jzfk/Ts9KJPOLupBAXMMrRz5QrUrq26X6fZTzsphyfJSQWdOwd//KGar91C0xdKTnpaM6xye7HLiwRXC+a525+zbROpWl3B2QMyYiHJWs0hhCjd1bSr5e6d4eamuoROmWLhoArLvFbw/VKJF/urqPjUeN7a8BZborYUPwHAjHUnNWuqdhJOTnBM1hM0G0lOKmjpUrjnHtW6fufFnXy45UMir0WqJxOPQeZVcPZS48F2qGVgS86+cJYRLWzcX8TZAy3gTnVfhnaEnZi2YRoNZzXk+4Pf2zqU4hkW+2sKHuXs8VGFBHoH8seDf/BB7w94sv2Tt+7ga77kRKdTU8hv3IDb7fPHvUOS5KSCqlWDpk2hZ0+Ye2Aur619jZlbZ6onDfUmXe2y3iRf4QUCkzOTC5IrK7p8GaZ/o4Z2ci7JOjvC9nL0Oey6tIukzCTC/MJK3O/aNejdG375RXU9tiqpNylTt/BuTL5zcvFXhv3Mt8YOQLNmasamMB9JTirouefgxAnVcKlHeA/6NujLAy0fUE/GbVBf7XRI52Znr5+ly5wuDFg0wLhFtMwgOBj2XMxrxha/AfQ5Vj2/EDdzcXJhx5M7WD16NT3r9Sxxv6+/hnXrYPp0G0z4kHoTo+Toc3hu+XMsObpEbfC7acaOsDsyldhETk4wqvUoRrUepTZoGiTYT3+T8vB19yU1K5VsfTbRidH4e/hb7dw6HXw67za0/f64ZN9Qa4UEdLba+YUojpPOiT4N+pS6z+OPqwLIdu2snJzkZsG13eq+JCflMnf/XGbvmc28A/PoEd6DIJ8moHNS7R4y4sAz2PRzzFUdY19+GfqU/l9HlINcOamAUiuyk05ARrwq8qzZ0WoxmSLAK4BlDy1j79N7aR3U2urnb9jIGV1Q3hpAsautfn4h8q06swp9OVerDQ5WV01GWLts6/o+yM0A9wDwaWLlkzumJ257godaP8Si4YsIqhYELp7g3UA9eW2PWc6xdSusXAmrVpW9ryibJCcVMHw4NGwI/6zWs+zUsqJT1eI3qK8BEQ7VGKlVYCuCqxX89VBsfwBLCh0AgBazwrrnFSLP6sjVDFg0gIg5Edb//28MQ71JV2kgVk7OTs4sGr6Ie5vfW7Ax72cO5xeb5RyjR8N//gNjx5rlcFWeJCdGys2FHTvg7FmId93N0MVDaTirYcEPszj7nkJcHluittDyy5acvnraaudceTCvc23CDsgo5/LnQphRbEosfu5+dK3TFWcn5xL3W7tWDekcOWLF4AqTehOTJWYk8kJ0PCl64OJvkG360gQ9esBLL6niWGE6k5KTDz74AJ1Ox4svvmjYlpGRwfjx46lZsybVqlVjxIgRxMXFFXldVFQUgwcPxsvLi8DAQF599VVychyjENLZGaKj1Zo6PsHxhPmG0aNeD/XDTNPsvvlaWTRN4431b3Dy6kmmrp9qtfNGXQ3jUFRrdDoNYv+x2nmFyDe67WgiX4jkzR5vlrrfzJkwbx5884114ipC0wpWIpb+JhU2YskIvji0hCeu+UBuOkT9bOuQxE0qnJzs3r2br7/+mjZt2hTZ/tJLL/HXX3+xdOlSNm7cSExMDMOHDzc8n5uby+DBg8nKymLbtm3Mnz+fefPm8eabpf9AsCc+PjBgAAxrNpQLL17g6yFfqyeST6tmYk7uDlvUqdPp+GH4Dzx3+3N8d/d3VjvvkCGQEzRYPbi03GrnFaKwml41qe5ZvdR93n4b7r8fCv1NZj0pZ1VNm5Ob3fZQcgTv936fhtUbMqX9Y2rDuQVm6ZSdlgarV8OyZSYfSmgVkJycrDVu3FhbvXq11qNHD23ixImapmnajRs3NFdXV23p0qWGfY8fP64B2vbt2zVN07QVK1ZoTk5OWmxsrGGf2bNna76+vlpmZmax58vIyNASExMNt+joaA3QEhMTKxK+5Zz+WtMWoWmre9g6EscUt0n9+y2toWm5ObaORlQRy04u0w7FHrJ1GOUTOV99j6yKsHUkDi8rJ0vTUqI0bZFO0xahvbLsKW3ETyNM+r+wZImmgaa1amXGQCuZxMTEcv3+rtCVk/HjxzN48GD63DRfau/evWRnZxfZ3qxZM+rWrcv27dsB2L59O61btyao0CIU/fv3JykpiaNHjxZ7vhkzZuDn52e4hYWV3BjJkrKy4MEH4b//hfikG7fuEOfYQzol+fHIj6w9a4XurQER4OoPWdfg6k7Ln09UecmZyTzx5xO0/aqtdf6Pm+qK1JuYi6uzK3iHQVAv0vTw9YEF/HL8Fy4lV3wxwJ49oW5d1Sk2145rqh2B0X1OfvzxR/bt28fu3btveS42NhY3Nzf8/f2LbA8KCiI2NtawT9BNq2PlP87f52ZTpkxh0qRJhsdJSUk2SVB274afflIFcV/quqLT6Vg8YjFtgtpUinqT4iw5uoRRv4yipmdNDo07RKhPqMXOlZXjQry+P3X4CS1mBbpaMqYuLCs1O5We9XpyIPYA3cO7l7rvf/6j/kB55hmoXvrIj+VIZ1jzqz8Gr7i1bG8UyA8Bj9C/YX/DU78d/42kzCRGtR5VZLXjktSqBRcuWDLYqsOo5CQ6OpqJEyeyevVqPKzYq9fd3R13d9tPyw0Lg/feg+u50Xx+7QwA4X7h6smUSLX8tpMbBHSxYZTmNbTJUDqEdKBvg74EeVt2yVW9Ht76v0F8O/YnMiJX4Nn2XYueT4jgasH8dN9PJGcmq7+kS5CaCu++qxb6bNJEtROwuqzrkJh3dVkSd/MJGw57nqNlTjTvtRlqmJ6dq89l8prJnL52mtTsVJ7r+JyNA61ajBrW2bt3L/Hx8bRv3x4XFxdcXFzYuHEjs2bNwsXFhaCgILKysrhx40aR18XFxREcrHpoBAcH3zJ7J/9x/j72qm5deP11+OiNMOJfjWfFwyvw8/BTT+ZfNanZCVy8bBekmXm6erLliS3M6DOj1OmV5uDhAdVbDECv6fDM2A9pMRY9nxD5fNx9Sn3e1RU+/RTuvhuGDbNSUDdLUEPj+DQGj0AbBVEJuVaDsLxOeucWGDbn6HN4sv2TtKzVkjFtxxi2n7l2hsvJl8s87NWrZo+0SjEqOenduzeHDx/mwIEDhtvtt9/Oww8/bLjv6urK2rUFY7cnT54kKiqKiIgIACIiIjh8+DDx8fGGfVavXo2vry8tWrQw09uyPH8P/6LtrStpvQmAh0vRq2SpWakWO9dHXwTiFJDXWffy3xY7j6jaIq9F8sa6N0jKLF9/Czc3ePRR+OMP1U7AJqTexHLq5yUfF35U3XcBdxd3/nXHvzg87jDV3KoZdn1p1UvU+7xeiStWZ2dD27YQEAAx8vdVhRk1rOPj40OrVq2KbPP29qZmzZqG7WPHjmXSpEnUqFEDX19fnn/+eSIiIujSRQ119OvXjxYtWjB69GhmzpxJbGwsU6dOZfz48XYxdFOSCxdUf5NOndQPqiI0raAzbFBPK0dmPReTLjJhxQQS0hLY8viW4lf7NIfQwXB1l5pS3FDaLQrze2P9Gyw+sphT107x030/2Tqc8pF6E8sJ7AledSDtIlxaBnXvMzxV+OdcRk4GNzJukJ2bTec6Be0isnOzDcOCrq7qBrB3L4RarkyvUjN7h9hPP/2UIUOGMGLECLp3705wcDC//vqr4XlnZ2eWLVuGs7MzERERPPLII4wZM4Z33nnH3KGY1YIF0K0bREz8LyOWjGDduXUFT6aeh7Ro0LmoGSeVlA4da86uYefFney7vM9yJwodBIA+ZrVa5EwIM7u/xf00D2jOlDunlLnv88/D77/bePaFPlsl7CBXTizByRnqjVb3Cw3t3MzDxYPNj2/m2PhjNKlZsK7R62tf587v7mRL1BZALQKYkABDh1o0arPSNI2UrBTSsktbPM56dJrmeOtFJyUl4efnR2JiIr6+vlY557vvwhdfgOcLnbmQs4svB33JuI7j1JNn58GOx1Vi0m+bVeKxlSVHl9AqsBUtalluCO7NN/Q8FxJKsH8c9FoLwb0sdi5Rdek1PU66gr/PbtyATZvUZfn8xfyio+HOO+HyZXX1NCTENrFyZRf80xncasCIBLWirjCvxOOwvIX6I/PeS+Wu68nKzaL2f2pzJe0Ky0YtY3CTwRYOtPzSstOIT43Hz93P0FzwYtJFPtvxGTp0fNTvI8O+w38azm8nfuObod/weNsnLTZ8Wd7f3/I/vJymToXYWFgy+iv+3e3fRReQqoRTiEvyQMsHLJqYAHTs5MSqw3lr7cRIt1hRcdeuqWXsf/ih6Pbnn4fGjZxYurRg29mzqtj1+ecLtoWFQdeuqt7EZokJFGpZHyGJiaX4NYcaHUHLMWoxQDdnNw49e4iP+n7EoMaDDNuXHl3K4388zq5LuwzbohKjmLx6Mh9t/ajIMX459gszt87kcNxhw7Zr6df4Zu83LD5cNJadF3fy2/HfOHv9rGHb+Rvneez3x3jqz6eK7Pvgzw9S//P6LD1W8B89JSuFT7Z/wjf7iq6/UN1DJS9X0q7Qu7f6Xjh5stz/DGYn/8uNoNNBp7q38W6vd4us4EvcBvXVgRf7q4jLyZeJTow2+3H79YP7J+Z9k8sqxaKcxo2D2rVhcaGf5RcuwMiR8PLL6krJQ788xG/HfyPhisbZs3DxYsG+ISHQsSN0vmnliSlT4LPPrPIWSpaQd0VWhnQsK78wtpShneKE+ITwStdXDPUpek3Pv1a+ybwD85j+33OG/S4lXWLmtpl8vffrIq+fe2Auk9dMZndMQf+w6MRonl72NJP+mVRk30+2f8LwJcNZcbrgZ2NmTibzD84vkoQA1PKqhYeLBxk5GYZtoT6hvBzxMq93e71Iy/5P+n9CypQUJt/xGk8+qVrxW2lgolhGN2GrinJzS6nQT41SNSc65yrVe+CXY7/w2B+P0at+L/548A+zHtvdHWjQD/Y7Q9IJtZ5ItQZmPYeofJKS1OyIwjMkQkNVrVjt2rD06M8sPrKYZaeWsfzlc7zwfE0aNy7YNyQEdu269bg3LR9mfYUX+5PkxLLCH4T9k+D6PrhxBPxblf2aYmiaxsjgaXz4f2fYHNOarLfVRIrgasG8HPEyNTxrFNm/d/3e1PSqSeMaBf8hfdx9uLvp3fh7+BfZt2nNpnQN61qkIWZt39rM6D2DQO9ANE0zJElfDfmKb+/+tkhRr6+7Lx/3+/iWmAuf55FH1M2WpOakHPr2hYS0ONo+M4uJfUfQPqR9wZPnvoftY1R/k/5Vp+X68YTjtPmqDe1D2rNm9Joy+0RUyJqeasiswxfQdIL5jy8cnl4PTnnXf48fV3/tNWhQfAfXpMwkPt72Mb7uvrzS9RXrBmqKlHPwZwNwcoX7EsHF09YRVW6b7oWLv0PzV+G2mRU+TG6uKgd44AFo187Q263Kk5oTM8nMhC1b4GDm7yw49z7PLnu26A5VdEinea3mbHtiG9vHbrdIYpKUBAvWqKGd3IsytCNupWnQsqVqjBYdDc2bQ4cOJbeW93X35Z273nGsxAQKphBXby+JiTXkD+2cXwj6ik/RcnaGGTPgttscJzHZswd+/BHS020diSQnZXJ3h9OnYepzTRjRfASPtLnpWlcVKoa9WcfaHYvMdjAnHx+Ytzqv6j1uPeTYx/Q2YT+OHoUTJ2DNGtXwqiQOeHG4qAQZ0rGq0EFqVlT6ZYhzgMUgzejTT2HUKNUJ3dYkOSmHOnVg+hN38fMDP/NC5xcKnki7pNbU0TlB4J22C9DGcvW5fLP3G+JS4sreuZx0OnhpWgsyXeriTIZKUIQopGVLOHgQvvsOPEu5oPDupnd5YOkDnL562nrBmZPUm1iXszuEj1L3jSyMLc65c/DGGzBvnsmHsrhWrSA8HB5+2NaRSHJimvyrJtXbg6sNy5ptbOyfY3l62dP8e92/zXrcoXfrcK+fd/VEphSLm+h0qlj1wQdL3ic1K5VPtn/C0mNLLds40FKybqjCTJDOsNaUP7QT/Stkl2+Jg5KsWqX6ZH3yiRqKtGdTpqgp9R062DoSSU5KlZGhlkd//du1XEm5fusOhnqTqjekU9jTHZ6mukd12gW3M//BQwtNKbb372xhd7zdvNn0+CZe7Pwi97e839bhGO/KDkCDag3B07KrgotCanYE36aQmw5Rv5h0qJEjYcgQVRzrCD/CnJzso0ZGkpNSbN8O/zc/iRlRgwj5NJCoxKiiO1ThepPCuoZ1JeqlKCZ0Mv+MmsMJd5Gtd4fUC5B4zOzHF45p2TKYPBn2leNiSJugNnw64FOL1UdZlNSb2IZOV+GeJzerXh3++kslKU52+l/w4kX1vWRPyZOd/lPZh5AQGPPCBWo5NaZRjUaE+YYVPJl+GZJPAToI7GazGO1F4VU7zemPZd6sOXyXeiAN2USeBQtg5ky15k1J7GWNEJNIvYnt1HsE0KlFXVMv2Doai/rySzWUU7g7sq1JclKKZs1g/szWxL91hO1jtxddhTcuv96kHbj52yI8u7T/8n7uW3IfyZnJZjne0KEQ6yTdYkVRDz2kbvfcU/zz+y/vp85/6vDhlg8dd7aOPhuu5PVOCqg6DR7thnddCMr7w+jc9yYfLjUVvv8eNm82+VBml56uZqbedZetIykgyUk53dylT4Z0bpWrz2XkzyP55fgvfLDlA7Mcs21bePzfeUWxCVsgK9EsxxWO7Z57YNEiaN+++Ofn7J/D9YzrHIw7WPSPCkdy/SDkpoGrP/hZdj0rUYLCQzsmJrnvvQdjxsBHH5W9r7V9+qla3NKeVlGW5KQE0dGw82Aien0J/yElObmFs5MzH/f7mAdbPciztz9b9gvKq1oDVZym5UDsavMdV1RaswbO4vt7v+fdXu/aOpSKu5K3no4s9mc7YcPB2QuST8NV0zqAjx4NDRuqhSTtUfXqqsW+vZD/8SX4v/+DLtPH4TstnD9O3LR2THocJB1H1Zt0t0l89urupnezeMRiwvzCyt7ZCOk1ZEqxUJYuhYSE0vdx0jnxSJtHaFDdgddkkmJY23P1gbAR6r6JhbHNm6uGnq+9Zoa4zCQ1Fa5csXUUxZPkpAQpqXqot5FUl2iCqt00hS9hk/rq3xrca9z6YmGQnZtt8jFu3IBh4/Jb2f8Nmt7kYwrHdPKkWqukbt3iW2xHJ0ajrwz/PzRNkhN70SBvaOfCj5CbadKh7G2EceFCtTjmv/5l60huJclJCT79jxPX3zrDz8P/olPtTkWfjJMhnbKkZKUwefVkbv/mdpMTFH9/SPboRmpmNZyz4uD6fvMEKRzOlStqrZLu3W/tCpudm02vBb3o8H8dOHX1lG0CNJe0KEi/BDoXtaiosJ3Au8CzNmRdh0vLTD6cpsGOHRAZaYbYTLRrF2RnQ5AdttCR5KQU/tU8GdF6yK39EfLrTYJ6Wj0mR5Gjz2HugbkcijvEHyf/KPsFZVizzg3vhn3Vg0sytFNV3XGH6sfw55+3Pnc4/jDxqfHEJMcUWU7eIRkW+7sNXLxsG0tV5+QM9fPWVDNDO/uXXoKICPj8c5MPZbI5c9QSEI89ZutIbiXJSTFKLcrOuAKJee2ka0m9SUn8PfyZPXg2f436ixHNR5h8PG9vinaLFVWau/ut29qHtOfsC2f55YFfLNZ3x2pkSMe+5M/aiVkBGWUUPJVhwAB11c9eGrK1aQM1a9o6ilvZyT+Pfek0ch0BL/VlxvJFtz6ZX2/i1xI8SlkKVTCixQiGNBlivqmcecmJdnWXyT8ghONJTAR9GeUkNb1qcmfdSrAIpyQn9sWvBdS4Xc0YvLDYpEP17QuxsfDZZ+YJrSL0esjNtd35y0OSk5ukpsK+zCVc9V/DocRNt+5gqDfpadW4HF1GTgbRidEmHeObRaEcjWmHDg0urzRTZMJRTJigVgj/+eei26+kXeFI/BHbBGUJ2UmQeFjdl+TEfpipnb2zM/jaeJ3Y1atVUfmHH9o2jtJIcnITT0/467VXGe7zAS90e/zWHeI3qK9BUgxbXrsv7ablly0Z+fNIk2ZSODvD77tkaKcq0jTYskU1igoMLPrcu5vepc3sNry/+X3bBGduV3aoGWne9cEzxNbRiHzhD6oC5Wt74cZRsxwyLk5dEbS2n36CmBi4dMn65y4vSU5u4uQEgyIa8sukyUSEdSn6ZOY1uJH/F43Um5RXbd/axKXEEZUYdeviiUYYOhR6j87vd7IS9DlmilDYO50OTpyAf/4p2sRK0zQS0hLQ0OgY2tF2AZqTDOnYJ49aUDvv589509vZv/Ya1K4N331n8qGMNns2/PILPPec9c9dXpKcGCNhM6CBb3NZvtwIoT6hrHh4BScmnKCef70KH6dWLegyuDO41YDsG3nLyYuqwt1djde7uBRs0+l0LBq+iCPjjtA3fzaXozMkJ3baSrQqMwztfA9604o26tVTdR8HD5oelrHc3WH4cLV+nL2S5KSQpGQ9EVOnMHPJBnKKqxaK26C+Sn8To3UP726eGRROzhAyQN2XbrFV1plrZ8gt9MuhZWBLG0ZjRvqcgjbpAXLlxO6EDga36pAeA3HrTDrUQw/B8eMwb555QqtsJDkp5LtVu9jh+gGvHRpKjlZM4zBZT8cs1p9bT+S1inUgSk2FVUfyZu1I3UmVcP489OoFs2apx/sv76fTN50Y8/sYcirb0N6Nw5CTAq6+akagsC/O7qr2BEwujPX1tf6Vi+PHoVs3WGB6uxaLk+SkkNAAHxolP85tujF4uHgUfTLrBlw/oO5LMWyFfbDlA3ot6MVLq16q0OtdXODpaf3R63XobhyCtItmjlDYm2XLYP16NUYOcCHxAslZyZy7fo6MnAzbBmdu+UM6ARHqKqGwP/UfVV+jf4XsZLMcMjsbcqyQZ8+frwrLb57xZo9cyt6l6nigZ0se6FlCdVLCFkADnyZSQW+Ce5rdw9sb36auX11y9Dm4OBn3X9DdHR57JoDL2V2o7b5dzdpp9LSFohX24O671dh8aF7T13ua3cPKh1dye+jtjt9s7WZX8pMTGdKxWzU7qd8Dyacg+hdo8JhJh5sxQ/U8+eoruPdes0RYogkT1HIgHR2gdlyunJSX1JuYRbOAZlx48QL/HfRfoxOTfG+/DbU7ypTiqqJuXRj0yGn6DS2Yc9m7QW/8PPxsGJWFyEwd+6fTma3nCaipxPHx8OuvJh+qTHXqqFlCvXtb/lymkuSkvKTexGwCvQPL3qksoXlT+mLXmLxSqLBvp66eose8HvT9vi83Mm7YOhzLSY2GtGjQOUNAZ1tHI0qTv9ZO3HpIvWDSoZ55Rq0VZYspxfZMkpPyyE6C6/vUfak3MZu4lDieW/4ccSlxRr8206sdmU4hkJMK8cV08hWVwg8/wJqNaWTlZpGRk1H5CmALMyz21w5cvG0aiiiDdzgE3aXuny9mmRMj1K+veji5upohrhJcvw5PPQWbN5exdpwdkeSkPOK3qI6N1RqCVx1bR1NpPPzrw8zeM5vX175u9GunvK5j4bqB6oFMKa6U9Hp4+WUYP6IdM5puYM2YNQR4VeL1rKTexLHkD+2cnW/3v/F//BG+/VbVnDgKSU7KQ4Z0LGL6XdO5PfR2nmz/pNGv7dsXtp7L7xYrdSeVTVRiFIcunuHuu9V0y0cHtjLPcKA9k3oTxxI2Apw9VWHs1V0mH27uXOjSBfbtM0NsN+ncGZ54QnWENdc6rJYms3XKIz85Cepp0zAqm4iwCHY9uatCqxb36wf9e/WB31wh+TQknQbfxhaIUljbxaSL3DX/LjJyMlj//nq+rtnE1iFZXnYy3MhrFSqdYR2Dqw+EDVfDOucWmFwntHIl7Nyppvu2b2+mGPO0bw9z5pj3mJYmV07Kkp0M1/ao+3LlxOwKJyaaEZdGnZ3Byd0XanVTG+TqSaXh6uSKp4snHi4eeLl62Toc67i6Uw0de9WVoWNHkt/z5MKPJhfmP/88fPIJvG78KHelJMlJWRK2gZYL3vXAu66to6mU9JqeOfvm0P7/2pOcaWRTo1CZUlzZBFUL4o9717Owz3rq+FaRX9QJ29RXGdJxLEG9wDMUsq6ZXPt2550waRIEmXHZtpwc+PRT+159uCSSnJRFhnQsLjs3mw+2fsCB2AN8t7/88+muX4cRL+S1so/fANkpFopQWFp8ajybL2w2PF63rBZdW9ZlzBgbBmVNUm/imJycoV7etGIz9Dwxt9WrVcLToYNqZOhIJDkpixTDWpy7iztfD/maqd2mMqFT+cvJ/f1h7+lmnI2vj06fZfJCXMI2rqVfo8+CPvRb2I81Z9cAcPYsODlB06Y2Ds4a9LlwZbu6L8mJ48mftXNpOWRcMflw69bBo4+qxmym8vBQa+k8+KAaCnckkpyUJie1oApbkhOL6lW/F9N7TcfZiPVEdDr48Ucdwe1laMeRebt6U8+/HtU9qlPXTw2dzpgBcXHw7LM2Ds4aEo9ATjK4+IBfa1tHI4zl3xJqdAAtR9WemGjKFLUw3w8/mB7aXXfBpk2qlsXRSHJSmivb1X84r7qq5kRYhV7T8+n2T4lPLftPhy5dwKtR/pTi5Xbfb0Dcyt3FnZ8f+JltY7fRpNDMnIAAqFnThoFZi2Gxvy6y2J+jMrSzn2/yocaPV0l5z54mH8rA0a6agCQnpYsrNKTjKJPDK4GXV73MpH8mMfLnkeTqyzFQGtgTnD3UCsWJRywenzBdYkYiS44uMTx2c3ajnn89oArml1Jv4vjCHwSdi5rZmXjMpEONGQOzZ0O7dqaFtGYNZGWZdgxbkuSkNPEb1FdpWW9VT3V4igCvAB5p/Ui5hnnWbfLkQGwv9eCSdIu1dxk5GQxcNJCRP4/kqz1fFXlO0+C22+Chh+DyZRsFaG1XJDlxeB6BEJrXsfrc97aNBTh6VDWqrFcPMjJsHU3FSHJSkpx0qTexkRa1WnBu4jnGth9brv137YL/WybdYh2Fu7M7PcJ7UN2jOl3qdCny3OHDcPAg/P67Kniu9NIuqYXjdE5QUxb7c2j5PU/OL1RFzia6cEHVXlXk6seFCxASojrDeniYHIpNSIfYklzdAfos8Kyt1tQRVlXNrZrhfmZOJrEpsYT7hxe777Bh8EdKXlHslW2QdR3cqlsjTFEBOp2O93u/z4ROE6jtW7vIcy1bwtatcOoUeHraKEBryh/S8W+rOo4Kx1V7CLj6q+Hl+PUQ3KfCh9Lr4Y47VH+SZs3g3nuNe/2gQRAVpdotOCq5clKSuA3qq9Sb2NSlpEt0m9uNfgv7kZiRWOw+zZvDa+/WA78WqmHe5X+sG6QoU3p2OrN2zkKv6QGVoNycmIAq3OvaFR57zMoB2kpCXm8XGdJxfM7uqvYE4KxpPU+cnOCRR6BXr4pfQXRxgVq1TArDpiQ5KYmh+ZoM6diSm7MbsSmxXEm7wqmrp0rfWbrF2iVN07hv6X1MXDmRF1e+aP4TpMVATpr5j2tpkXPg9JfqfmBPm4YizCR/1k70LyY3hZwxA9auVdOBjXHxokmntRuSnBQnNwOu7FD35YeGTdXyrsWfo/5kz1N76Fi7Y4n7aRqczcivO/lbrVMizE5f6N81PTudFadX8NORn4rsM3f/XEYsGcHiw4sBdZXk4dYP4+vuy/0t7i/x2H//DdOnw/HjRgSUfAb+bADLmsL1g0a9F5vRNDj6Pux8Uv0/bfA41LnH1lEJcwjoAj6NITcNon816VAVuWB/9So0bKg6wt64YdLpbU6Sk+Jc3QX6TPAIVv/RhE21C25H/er1DY+LWyDw+nVo3uMOktJ9IDMBru6xZoiVxtW0q0xYMYEn/3yyyPYXV76I53uezNw607AtOSuZwT8M5sFfHiwy5ftw/GF+Pf4rB2IPGLY91Pohzk08R7fwbiWee+5cePNNWLzYiIAjv1Xfq2kXYfUdcPEvI15sA5oe9k6Eg/9Wj1tMgc5zpL9JZaHTmbXnCajZNsuWlW/fnTtV7qvXO35BuSQnxZF6E7u1//J+On3bifM3zhfZXqMG3NnNlUMJ/dQGGdopl7PXzxb5t8zVcvnf7v8xZ/+cIgmHk86JjJwMrqcXVNj5e/jTPqQ9vev3JiOnYL7i8ObD+d+g/zGixYgi56rhWaPUWO6+W92GDStn8Prcgmmb1Rqojs6bhsHx/9hns5TcTNg6Ck59oR63/wzavS8/Yyqb/LV24tZDapRJh8rKgvr1YehQOHCg7P0HDVJFtHPnmnRau6DTjFmn3k4kJSXh5+dHYmIivr6+5j/B2t5qnZaOs6FxVeif7Rg0TeOu+Xex8cJGhjcfzi8P/HLT86A7Oxd2PgE1bocBu20UqWM4HHeYvt/3xc/Djy2Pb6GWdy2yc7OZvmk6/h7+TOg0ATdnNwDiUuLIyMkgwCsAbzdvG0eeJ+Zv2DAI3GvCsAuw9yWI/EY91+hpuP2/4ORq2xjzZSfBpnvVzxUnV+iyAOo9aOuohKWs6anqFtu+Dy2nmHSokSNhxw7VmG3QIPOEZ0vl/f0tU4lvlptZsAiX9DexKzqdju/v/Z7X173OrAGzinmegkZI1/ZAehx4mnH98UqmhmcN3F3c8XDxIEefA4Crsyvv3PXOLfsGVbPDf8ez89TX8IfBxRs6fQ2+zWD/K3Dm/1Q9SrefbT+tPD0ONgyE6/vBpRp0/82kaabCAdR/VCUn5+ZDi9dMujr21Vfg56dm8JQmJ0fN0KksZFjnZld3Q2666vjn28zW0YibhPmF8f2931Pds4RfOJ7B5Pp3UPcv/229wBxQbd/arBuzjo2PbSTEJ8RmcWgaLF8OyclGvCjrOlz8Xd1v8Jj6qtNB80nQ/Q+VrMStg38iVJJiK8mRqhbm+n5wrwV9NkhiUhXUHaGW1Eg6CTdMK9SuXr3sxCQ7Gxo3hlGjICHBpNPZDUlObpY/hVjqTRzCyjMr2Ra9zfD4gw/gwwUypbgkc/bNYWvUVsPjhjUa4u/hb7uAUA3XhgyB2rUhM7OcLzq/WDVJ9G8D1dsVfa7OUOi7FbzqqF8OqzpD/CZzh122a/thdVdIiQTv+iqmGh2sH4ewPlffgtYGF34qfd9y0jQ4e7b45zZuhPPn1dRjRy+EzSfJyc0KJyfCrv16/FcGLRrEfUvuIy4lDoDQUPhzb94PhcurQJ9twwjty5KjS3jyrycZsngI0YnRtg7H4PJlaNQIIiLA3b2cL8of0mnwePF/RFRvC/13QY2OkHUN1vUpeI01xK6DNT0gI14lT/22ga/M/KtS6o5UX6OWmFygnZQEbdtC06YQX8xi7b17w549agjI1U7KrEwlyUlh+uyCdtKSnNi9vg360rxWc4Y1HWb463/YMJj7R0c09wBVhJiwrfSDVCFDmgyha1hXnrv9Oer41rF1OAY9e8Lp0/DLL2Xuqtw4Ctd2q1Vg6z1c8n6eIWoYJew+9b2943E4MMXyPXAuLIENAyAnGYLugj4bwTPYsucU9qf2YHD2gpSzcG2vSYfy9VVr5Dg7w+5i6vx1OtXbZPhwk05jVypR+YwZXN2jmue411St0IVd83H3YfvY7fi6F1R8+/mBn58z3BigFuCKWVGlu/xqmoYu78qCl6sX68asw92lvJcnrKtatbL3AeDcPPW19hDwKKM/t4sX3PkTHJoGR9+FYx9A8imIWKDqUszt5BeqjwmaSoq6LlRtzUXV4+Kt/o9GLYGon6Dm7SYdbu5cdWW4ehVZNkyunBRWpN5E/mkcQeHEBCDyWqS6E5rfLXa5lSOyHylZKQxcNJD5BwqaQdlbYpKebuQVb31OQW+T/ELYsuicoO10lZA4uanOnWt6qLb35qJpcHAq7H0B0KDxeLjjR0lMqrq6D6ivF0wf2mnZsvjEZPhw1bzwyhWTDm935DdwYVquumoiQzoOJzMnkyf/fJLWs1uz9cwhpn7Zj1y9EyQeVUvSV0Fz989lVeQqJq6cyLX0a7YOp1hPPQVNmsBf5W3senklZMSpmS+hRjZ9qD8aeq0F9wB1mX1VJ7i2z+iYb6HPgV1PwdH31OM20+H2L6Trq1D/R128IS0Kru4022HzC8cPH4bfflMTASobSU4Ka/VvGB4PjZ6xdSTCSC5OLkQnRZOZm8mhazuY9VUNtp+OUE9W0Vk74zuN54VOL7DqkVVldme1BU2DdevgzBkjZhjkF7XWe6RiDdYC74T+O8G3OaRfgtXdIPp344+TLycNNo9Qi/jpnKDT/0GrqTLTTygunlD7bnX/whKTD5eQACNGQIMGqntso0ZquYdp0yAgwOTD2xXpECsqjatpVzkYd5Be9Xvx3/9C94AZtNG/DqFDoKedr7liJlGJUdTxrYOTgwxLJifDmjWqPXeZDaQyrsDvoaq4deBBqN6m4ifOugFbHoDY1YAO2n0IzV8xLqnIvAab7lZF9M4e0HUxhN1T8ZhE5XTxD9h0D3jWhnuiTCoZyMmBsDCIjYV//oG+fc0XprWU9/e3Uf9Ks2fPpk2bNvj6+uLr60tERAR//13Q6Kpnz57odLoit2efLdr+PSoqisGDB+Pl5UVgYCCvvvoqOTk5Rr49IW5V06smver3AmDCBGjdL69bbNxatdJ0Jbc9ejvtvmrHv1b/y9ahlJuPD9x7bzk7W15YrBKT6reZlpgAuPlDzxXQeBygwYF/qVWCc7PK9/q0i7Cmu0pMXP3hrn8kMRHFC+mv+p6kXyroPl5BLi7wzTdw8KBjJibGMCo5qVOnDh988AF79+5lz5499OrVi2HDhnH06FHDPk899RSXL1823GbOLFjFNDc3l8GDB5OVlcW2bduYP38+8+bN48033zTfOxICdRVl0IoprMiuqTr+5i/mWImdvnaa6xnX2Ra9jfTsdFuHY36Fe5uYg5ML3P4/6DBL/TV79jtY319dESlN4nH4p6uqZ/IMhb6bILDk1ZZFFefsAbXzVrM0Q0O2IUOgTRuYPh0WLoS0NJMPaZ80E1WvXl379ttvNU3TtB49emgTJ04scd8VK1ZoTk5OWmxsrGHb7NmzNV9fXy0zM7Pc50xMTNQALTExscJxi8pt6tqpGm+hBU331jK+R9N2P2/rkKzi56M/aymZKbYOo0znzmna0KGaNmdOOV9w7aCmLULTFrtqWnqC+QO6uFzTfvJR5/izsaYlnix+v/htmra0htrvr6aalnLe/LGIyufiMvV/5tcQTcvNMflwCQma5uqqaaBpBw+aIT4rKu/v7woPfuXm5vLjjz+SmppKRESEYfuiRYsICAigVatWTJkyhbRCad327dtp3bo1QUEFi4j179+fpKSkIldfbpaZmUlSUlKRmxCleaPHGzTLfojma9/F3Qk1pdjxyqvK9MPhH0jLLvgeG9FihP2sGlyKZcvUDJ0FC8r5gvyrJrXvBg8LVP7VHgT9toJ3OCSfhn+6qCXvC7u0HNb1Vh1na3aGPlvU/kKUJbivGv5LvwwJW0w+XFYW3H8/3HGHuopSGRmdnBw+fJhq1arh7u7Os88+y2+//UaLFqph2UMPPcTChQtZv349U6ZM4fvvv+eRRx4xvDY2NrZIYgIYHsfGxpZ4zhkzZuDn52e4hYWFGRu2qGLcnN34712L0Gc9Sa7mqro0Jp+ydVhm9c7Gd3j414d5YOkD5OpzbR2OUfr1g3ffhWfKMzFOn60a6kH5e5tUhH9r6LcTanZRCwuu66dm4QCcnQ+bhqkhwpCB0HutZZIkUTk5u0HYvep+lOlDO0FB0L07zJtn8qHsltGzdbKysoiKiiIxMZGff/6Zb7/9lo0bNxoSlMLWrVtH7969OXPmDA0bNuTpp5/mwoULrFq1yrBPWloa3t7erFixgoEDBxZ7zszMTDILrQiWlJREWFiYzNYR5bOuL5FRa9gZ8jAP9V9o62jMZmvUVvot7Me0HtN4teurhk6wlU7+bAePILjnoqoVsaScdNj5BFz4UT0O7gex/6j79UZDlzkVm8YsqraYlbBhoFrx/p5Llv9/bKcsMlsHwM3NjUaNGtGhQwdmzJhB27Zt+fzzz4vdt3PnzgCcOaOWLA8ODiYuLq7IPvmPg4NLXnvC3d3dMEMo/yZEeZ33i+D2aHh4xyJWR662dThmc0fdOzg14RT/uuNfFUpMNA02b4br1y0QnDmdnau+1h9tnR/oLp7Q9Qdo/ZZ6nJ+YNH8VIuZJYiIqJrg3uNVQi0HmdyMXJTK5GYJery9yVaOwAwcOABASEgJAREQEhw8fJr7QsoqrV6/G19e32CsvQphDWIOHecgH6rlC99DbbB1OhV1Pv86oX0ZxMemiYVtt39oVPt6996pLw4sXF2xLTIQLFm6o+8svsHUr5JZnJCojXtV6ANR/zJJhFaXTQetpKknxawEdPofbZsqyFqLinFwhLG9lvijTG7JVdkZ9p02ZMoVNmzZx/vx5Dh8+zJQpU9iwYQMPP/wwkZGRTJ8+nb1793L+/Hn+/PNPxowZQ/fu3WmTV7HTr18/WrRowejRozl48CCrVq1i6tSpjB8/Hvdyr5UuRPklJEBwkya8qG/M/jBwv6x+0WmaxsifR/Lp9k/JzCk+ubY3T/31FD8e+ZEHf34QI0djSUyE+fOLJgQ9e6o+I4Xry6dMgRYt4PvvzRPzzfR6GD8e7rwTNmwoxwvO/wBaDtToCP4tLRNUaeqNgsFHoekL1j+3qHzCR6qv0b+oWipRMmOmAD3xxBNaeHi45ubmptWqVUvr3bu39s8//2iapmlRUVFa9+7dtRo1amju7u5ao0aNtFdfffWW6ULnz5/XBg4cqHl6emoBAQHayy+/rGVnZxsThkwlFkZp2FDT3n7gXTWV7587NE3TtLVn12q8heY23U07f90xpoOev35e6/h/HbVDsYeMel1urqaFhqpph3nfrpqmaVpKiqalphY8zsrStB491H7r1pkn5ptdv65pDz2kaeHhmlZm9wC9XtOWt1Gf28n/WSYgIawpN1vTfq6l/k/HrLJ1NDZR3t/f0r5eVHqRkVC3Vgyuy+uqxR0HHyXHpwnzDswjITWBKd2mGPY9c+0MjWo0smG0SlRiFJ9s+4SUrBTmDJtj2K5pWpn1JYcPw8aNqktuvueeU9tmzoTBg0t+rV4Pmzapqyr5Dh5Ua3h4m3GGsqaVo1P8tf2wsr1aSfjey+Buf+sDCWG0XePgzFfQ4AlVXF3FlPf3tyQnourYOAwu/QlNX4IO/7nl6ajEKJp80YRu4d349YFf8XH3sUGQypH4I7Se3VotaPhSNMHVSi4YLyw2FkJD1S//s2ehfn21PT0dPDyMX48uMRGaNwd3d/j7b2jWzMg3Yoo9L8CpL9Sy83eaPv1SCLsQtwHW3gVu1eHeWDXNuAqx2GwdIRxWo6fU1/MLIPfWOpNt0dvQ0MjR51DNrZrVwjp55STPLX+O9za9Z9jWKrAVr93xGstGLSPQO7DY12VkwM8/w//+V7AtOBgGDoThw9Xz+Tw9K7ZQ7vnz4OqqbvXqGf/6wpKT4cqVcu6cmwnnF6n7luxtIoS11eoGHsGql07sGltHY7ckORFVwubNcOf9A7ieWRsyr0L0b7fs82CrBzk54SSzB882DJ1k5WYxbf00ElITLBbbsYRjzN4zmy92fUF2bkGR3Iw+M+jfqH+JKwzv3Km6RL7+uroyku+vv9SMmObNTY+tbVs4ehT+/FNdecm3erXxDXcXL1bNo25aC7R4MctVJ1bPUNVnRIjKwskZ6t6n7susnRJJciKqhOxs2LrdhW/XPaE2RH5T7H71/OvRLKBg7OKrPV/xzqZ36Da3G3pNb3IcB2MP8vRfT/PD4R8M24Y0GcKTtz3JouGLcHZyLvZ10dGqo2rhjpDduqlZL+PHF71K4mTm7+pq1YoO5/z2m+rw2r+/qlEpryNH1P7lavAcWbi3SfH/JkI4rLoPqK8Xfy/2Kq6AqtmiTlQ5d90Fs2bBg0PHwrZ3IW4dJEeCT8NSX9cmqA23Bd/Gs7c/W+QKhl7Tl3hFozQrz6zkm33fcCjuEA+1fggAV2dXvrm7+GTJ8LqV8MYbaprvo4+qIRonJ3VFyNquXFHDRB07GpcIzZoFr76q6ldKlR4Ll/9W963Z20QIa6l1h7oqmB4Dl1dBnbttHZHdkSsnokrQ6eD556FWvXAIyRsmiPy2zNf1rNeTPU/vYextYw3btkRtoeWXLfnz5J+lvnbnxZ08/sfjbIveZtj2WLvHeKTNI3zY50Oj4n/gAXWlYvJk269f+NRTaqhn6tSCbZcuwfbtZb82LAwCiy+hKXB+oZpVVbML+FmzAlcIK9E5Qd371X0Z2imWJCei6mmYVxh7dm65GiE56ZyKDLd8sOUDTlw5wfJTy0t93Tf7vmHegXl8tecrw7agakF8f+/39KjXw6iQ/fzU1ZMxY8w4bJOdpNb7OPA6bH8M0i6V+6X166urJ/kmTFArpH72mYkxaVrBCsRSCCsqs7p5Ddku/qHWcxJFSHIiqpSoKHjizaFcTw+EjDi4tMzoYywavoip3abyVs+3DNsir0UyYsmIIq3ln+nwDI+2fZTnOj5X4XhXrSpaT2KSjCuqEHjvS7Dydvi5ulqI7NgMODcfNt8HuVlGHzYrC6pXBxcX6N371uc1DSIi4OmnodDKFcW7thcSj4KzR0E3TSEqo4Au4FUXclLg8kpbR2N3JDkRVYqzM3y/yI3/W/OY2nCm9FqP4vh5+DG913RCfEIM2z7d8Sm/Hv+VufvnGrZ1rN2ReffMo0udLhWK9cQJNS24QYOiLebLLe0inF+smj4tbwm/1oLNw+HkZyoJ0PRQrQHUHwOu/nB1BxycUtZRb+HmBt99B6dOQevWBdv//hsuXlRN4XbsgIULVbv8UuUv8lfnXnDzNzoWIRyGTlcwtHNB+vjcTApiRZVSu7Yaeriz7ZMQNVP9xZIaBd51K3zM/D6G424fx5AmQ8wUqZqhU7s2tG8PZfYa1DRIiYT4TQW31HO37ufXAmp1h8DuENgNvOrknex32HwvnPiPeq7OMKPjLdwH5dIlGDlShbV+vboCdO5c0aGgW+RmwIW8VQhlSEdUBeEj4cQncOkvyEkDFy9bR2Q3pEOsqLrW3AXxG6DVNGjzlq2jKVZ2Nly7pvqDFKHp1fBH4WQkI7boPjonqH5bQTJS607wCCj5ZHsnwclP1VWUgfugWv0Kx33mjKqP0TTYskVdsSrThSWwdaRKmO4+L1OIReWnafBnQ/WHxJ1LCq6k2FpypGq30HIquJq3IWV5f3/LlRNRdTV6SiUnZ7+DVm/Y5S9DV9e8xESfrdaaSdgE8ZshYbPqMFmYkxvU7JSXiHSDWl3B1Yjkvd0HcGUrXN0FW0ZC3y0Vbq3dqJFKSq5eLWdiAgWFsPXH2OVnIYTZ6XQQ/gAc+1Al5/aQnGga7JmgriqnXYKuFlqivAySnIgqKS0NZv0wnGeDauBPNMT+A6EDbR0WoNq8HzyoZr/odMC1fapwNeOmalIXbwiIKLgyUrMTuJQ2blIGZzf119vft8G13XDgX9DhswofzskJatUq585pMRC7St2v/2iFzymEw6mbl5zELIfsFLNfqTBa9C8qMXFyU3+02YgUxIoqydUV/vulB/M2jFYbKlAYaynffKO6vz76KAV/xWTEq+GW2kPhto+g30647zr0Wg2t34CgHqYlJvm8w6HLfHX/5OcQ/avpxyyP89+roapad4BvE+ucUwh7UP02qNYIctNV7YktZSfD3hfV/RaTbfq9KMmJqJJcXeH996FBv7yeJ5f+Up1J7UBiouqi2qMHKq4r28HZEwYfhR5/QvNXIKATOLlaJoA6Q9U5AHY8ASlnLXOefIV7m0hHWFHV5A/tgO0bsh2aBumX1Cy+FsbP3DMnSU5ElTVmDNw9uqUaGtFyCn5B2tjbb8OFC/DIw7lw8HW1semL4BVqvSDavq/+XbITYcsDll3/4+pOSDqhErD8H9JCVCX5Ddli/lbNEW3h+kE4NUvdv/1/5rkSawJJToTI7xgb+a0aWrADQUHgHvO9mpHjVh1a/Mu6ATi5wh0/gVsN1RNl/yuWO1d+Uhg2wrgCXiEqC//W4NsM9JlwsfRlMSxC08OuZ9WyEWH3QegA68dwE0lORJX3+/4HSMnyVX1C4jbYLI5jx1R/EED1/Dj0prrfYoptGpJ5h0FEXqX+qf9C1FLznyMnHS78qO5LbxNRVel0BSsV26IhW+S3qgmjSzWTiuDNSZITUeV9Mdub7zepFYKJtF1h7Pjxas2an34CTn0JadGq50eTCTaLidqDVGEcwI6xkHzGvMe/+LsaOvKqC0F3mffYQjiS/OQkdhVk3bDeeTPi4cBr6n6b6eBV23rnLoUkJ6LKmzwZtPyhnehf1Ro0VpaaCvq8EaU7OyfCsffVg9Zv2Xzslzbvqlk0Ocl59SfmWuyHQov8PaqaxglRVfm3BL+WqqfRxd+td979/1I9k6q3s+0fQjeRnwaiyuvXD577d3uo3h70WWpaq5V5e8PGjXDyJNRO/Bgyr6oxaHvo+eHkAnf8CO4BcH0/7JtknuOmRkPsanXfHt6nELaWXxh7wUqzduI3qUU/0UHH2ep73U5IciJEvkZ5V0/OfKOmt9pA/eBYtb4NQNv37OeHhVedgvqT07PNMy5+/ntAUw3kfBqafjwhHF3+bLXY1eoPFEvKzYLd49T9Rk+pVZLtiCQnQuQ5mvoQmblekHQcrmyz2nm3boXM/Jm6R6ZDbhrU7KxW5rUnoQOgZd7U5p1PQtKpih9LepsIcSvfpuDfVrU2iP7Nsuc6+SkkHgP3WtB2hmXPVQGSnAiR55t5vizanHdZ1UodY+PioHdvVQgbd+YMnPk/9US7D/J619uZ1m9DYA/ISYEt96vZNhVxZRskn1Yt+O1hPREh7IU1GrKlXoDD76j7t30E7jUsd64KkuREiDzPPw+RuryhnaglVqmYP30aAgKgbl0IjH1D/cUUMgCCelr83BXi5AJdf1B/bd04BPterNhxDL1N7rP9WiJC2JP8upO4dZCRYJlz7HlBXaEN7K4W2rRDkpwIkadhQ3jvqy6qYj43Hc7/YPFz3nknnD0Lv87Zjy4qr99HO/u7xFqEVyh0XQTo1JUeY/+dclILalYaPG728IRwaD4NoUYH1RDNEmtbXfwTLv0JOhe4/Uv7vEKLJCdCFKXTFeoYa53CWDc3CI3PW8ci/CE1pc/ehfSFVlPV/V1PQ+KJ8r82+jc1Ldm7PgR2s0x8Qjiy/J4nUWZuyJaTCnueV/ebv6ymL9spSU6EuMl1/9HkaO5w/YBq3W4B2dmwY0feg7j1cHmV+kumzTsWOZ9FtJqmGqflpObVn6SV73XS20SI0uUnJ/Ebzbsg6ZHpkBalVh9v9Yb5jmsB8pNBiJv8urwGP20bAYD+tGUKY5csgYgIGD5cK+jO2OgZx5pS6+Ss6k88giDxCOx9oezXpF5QY+kgvU2EKEm1elCzk1rzJvoX8xzzxlE4/om63+ELVYxuxyQ5EeImDz0Ee2+ooR1d1A+QnWL2c1y4oIZzHur2K1zdpX5Q2PlfMsXyDC6oP4mcA+fKaGB3dgGgqSsu1epZIUAhHFR+Yaw5Zu1omuppouVAnWFQZ6jpx7QwSU6EuImnJ/xnYQ/waYwuJ8X8477A66/Ducgc7m3wb7Wh2STwDDL7eawiuDe0nqbu73pW9U4ojqaHc/PUfSmEFaJ0+VPs4zdDWoxpxzo3HxI2g7MXdJhlemxWIMmJEMXR6aDhk+q+hXqehGbMwzn1JLjXhOavWOQcVtNyKgT3UdMTt9yv6lBulrAFUs6qlU/Dhls/RiEciXcYBHQFNIj+ueLHybwK+19V91tPA++6ZgnP0iQ5EaIEueGPoscFru6EG4fNcszz5+HyZVTzssNvqY0t/w2uvmY5vs04OUPEQvAIVldO9hSzgFh+IWzdB+x+vFsIu5BfGGvKchEHpkDmFdUiodlL5onLCiQ5EaIE+44F8euuYQCkHTLP1ZPXXoN69WD3oi8g/RJ41YXG48xybJvzDII7FqsZOGfnFSQjoOp28sfOZUhHiPKpez+gUx2VU6ONf33CdtUSAfIW9nM1a3iWJMmJECXo2BEOpqjCWI/Y7yveqj1PTg7ExoKXy3Xau+c1WmvzDjh7mBqq/QjqqVrcA+x+Dm4cUfejf1FDPdUaQq07bBaeEA7FK7SgF1DUUuNeq88pWNivwWMO11NIkhMhSjH9m77gHY5Tzg2Tp/S5uMCGDXDq9w9x1t8Av1ZQ7xFzhGlfWr4Owf1Ul90t96urJmfnqucaPGa3HSmFsEsVbch26gu4cRDcqkO7meaPy8IkORGiNDonaDBW3Y80w9BO2iVqXftc3W/7vqrVqGx0TtB1IXiGQtIJ2HKfaiaFzm7X8RDCboWNUN9TV3dByvnyvSbtIhx6U91v9yF41LJYeJYiyYkQZWn4OBpOEL8JLfFkhQ5x8CBkZQFH3oHcDDW0UXuIeeO0Jx614I4f1Q/Vy6vUtuDeDjNTQAi74RmsVgKH8vc82fuSWjk8IAIajrVcbBYkyYkQZUjKqcPfBwcBELP5W6Nfn5oKvXtDn84n0c7MURvbflD5hzcCu0GbdwseSyGsEBVjTEO2mJVq6rHOWRXBOugSEY4ZtRBW5OsL55xVYWxQ6nzIzTLq9SdPqm6wrw2cio5cCB0CgXdaIlT702IyNHoaQgdJbxMhKipsuEo2ru2F5DMl75eTDnvGq/tNJ0L1ttaJzwIkORGiHMa9Mwg8Q3HJTYBLfxj12vbt4fze3Qxq9TOgg3bvWyZIe6Rzgk5fQ8/llWtWkhDW5FELgnqp+6XN2jk2QzU69KwNrd+ySmiWIsmJEOXg5OJSMCxhbMdYTcPtWN7ifvVHg39r8wYnhKj8ymrIlnQSjn2g7nf4HFx9rBOXhUhyIkR55ReWxa4mLf5cmbtrGuzfr/Ynbh04uRX0ABFCCGOE3Qs6FzU9OOmmwnxNU32F9NkQMrBSDKFKciJEeVWrz/bzfQE4vnxOmbuvXQsdOug5/fMUtaHxOFmJVwhRMe411fpVABduKoy9sFj9AeTsAR3/WymK7SU5EcII16qrwtgW7nNVB8ZSHD4Mo7oupXHNfeDio9bQEUKIigrPn7VTaGgn6wbsm6Tut/w3VGtg9bAsQZITIYzQ74lhaO618CQGYlaUuu9LE7OZ//JU9aD5Kw7ZCEkIYUfq3KPWx0k8CjeOqm0Hp0JGHPg2heav2jQ8c5LkRAgjuLq7oWvwqHpQVmFs5Le4pJ8Bj0BoNsnywQkhKjc3fwjur+5HLYGre+D0l+rx7V+Cs7vNQjM3SU6EMFbDJwHQYlZw4fjFW56Oj4e4mFQ4/I7a0PINcK1mzQiFEJVV4aGd3c8CGoQ/BMG9bBqWuUlyIoSxfJty6kZ3dOg5/MfcW55+7z348oXPICMWvOurJmRCCGEOde4GJ3c1Y+faXnD1g/af2Doqs5PkRIgKyK6rCmPvCJkDmt6wXdMg+sxVJg3IWwW0zXRwdrNFiEKIysjVF0IHFjxu+55af6eSkeREiApo0X8Emqs/1V0vwOXVhu06HfwyfQZ+Xklo/m2h3igbRimEqJTyV/eu0REaPWvbWCxEkhMhKkDn6omu/mj1ILJQYWxqFLpT/1X7tJvhsItuCSHsWNi90HsD9FoNTs62jsYi5CenEBXVSA3taBf/4PDuOE6fBv3Bt0CfqZY4Dxlg2/iEEJVXUA9w87N1FBYjyYkQFeXfmgR9Z3RaDpvnz+f5McfQzs5Xz7X7oFJ0aRRCCFtwsXUAQjgy56ZPwemdDGr6LeHe23B20pMTfA8uAV1sHZoQQjgsuXIihAlqtBuJ3rka9WqeZnDbP9BwwqXD+7YOSwghHJokJ0KYwrUaTvUfMjzUNXgM/JrbLh4hhKgEJDkRwlT5Tdac3KH1WzYNRQghKgOpORHCVDU6QLdfwT0AvMNsHY0QQjg8SU6EMIewe20dgRBCVBoyrCOEEEIIu2JUcjJ79mzatGmDr68vvr6+RERE8Pfffxuez8jIYPz48dSsWZNq1aoxYsQI4uLiihwjKiqKwYMH4+XlRWBgIK+++io5OTnmeTdCCCGEcHhGJSd16tThgw8+YO/evezZs4devXoxbNgwjh49CsBLL73EX3/9xdKlS9m4cSMxMTEMHz7c8Prc3FwGDx5MVlYW27ZtY/78+cybN48333zTvO9KCCGEEA5Lp2maZsoBatSowUcffcR9991HrVq1+OGHH7jvvvsAOHHiBM2bN2f79u106dKFv//+myFDhhATE0NQUBAAX331FZMnTyYhIQE3t/Kt3pqUlISfnx+JiYn4+vqaEr4QQgghrKS8v78rXHOSm5vLjz/+SGpqKhEREezdu5fs7Gz69Olj2KdZs2bUrVuX7du3A7B9+3Zat25tSEwA+vfvT1JSkuHqS3EyMzNJSkoqchNCCCFE5WR0cnL48GGqVauGu7s7zz77LL/99hstWrQgNjYWNzc3/P39i+wfFBREbGwsALGxsUUSk/zn858ryYwZM/Dz8zPcwsJkuqYQQghRWRmdnDRt2pQDBw6wc+dOxo0bx6OPPsqxY8csEZvBlClTSExMNNyio6Mtej4hhBBC2I7RfU7c3Nxo1KgRAB06dGD37t18/vnnjBw5kqysLG7cuFHk6klcXBzBwcEABAcHs2vXriLHy5/Nk79Pcdzd3XF3dzc2VCGEEEI4IJP7nOj1ejIzM+nQoQOurq6sXbvW8NzJkyeJiooiIiICgIiICA4fPkx8fLxhn9WrV+Pr60uLFi1MDUUIIYQQlYBRV06mTJnCwIEDqVu3LsnJyfzwww9s2LCBVatW4efnx9ixY5k0aRI1atTA19eX559/noiICLp0UcvH9+vXjxYtWjB69GhmzpxJbGwsU6dOZfz48XJlRAghhBCAkclJfHw8Y8aM4fLly/j5+dGmTRtWrVpF3759Afj0009xcnJixIgRZGZm0r9/f7788kvD652dnVm2bBnjxo0jIiICb29vHn30Ud555x3zvishhBBCOCyT+5zYgvQ5EUIIIRyPxfucCCGEEEJYgkOuSpx/sUeasQkhhBCOI//3dlmDNg6ZnCQnJwNIMzYhhBDCASUnJ+Pn51fi8w5Zc6LX64mJicHHxwedTmfWYyclJREWFkZ0dHSlr2eR91p5VaX3K++1cqpK7xWqzvvVNI3k5GRCQ0Nxciq5ssQhr5w4OTlRp04di57D19e3Uv8HKUzea+VVld6vvNfKqSq9V6ga77e0Kyb5pCBWCCGEEHZFkhMhhBBC2BVJTm7i7u7OtGnTqkTHWnmvlVdVer/yXiunqvReoeq937I4ZEGsEEIIISovuXIihBBCCLsiyYkQQggh7IokJ0IIIYSwK5KcCCGEEMKuSHIihBBCCLtS5ZKT//3vf9SrVw8PDw86d+7Mrl27St1/6dKlNGvWDA8PD1q3bs2KFSusFKlpZsyYQceOHfHx8SEwMJB77rmHkydPlvqaefPmodPpitw8PDysFHHFvfXWW7fE3axZs1Jf46ifK0C9evVueb86nY7x48cXu78jfa6bNm1i6NChhIaGotPp+P3334s8r2kab775JiEhIXh6etKnTx9Onz5d5nGN/b63htLea3Z2NpMnT6Z169Z4e3sTGhrKmDFjiImJKfWYFflesJayPtvHHnvsltgHDBhQ5nEd7bMFiv3+1el0fPTRRyUe054/W0uoUsnJTz/9xKRJk5g2bRr79u2jbdu29O/fn/j4+GL337ZtG6NGjWLs2LHs37+fe+65h3vuuYcjR45YOXLjbdy4kfHjx7Njxw5Wr15NdnY2/fr1IzU1tdTX+fr6cvnyZcPtwoULVorYNC1btiwS95YtW0rc15E/V4Ddu3cXea+rV68G4P777y/xNY7yuaamptK2bVv+97//Ffv8zJkzmTVrFl999RU7d+7E29ub/v37k5GRUeIxjf2+t5bS3mtaWhr79u3jjTfeYN++ffz666+cPHmSu+++u8zjGvO9YE1lfbYAAwYMKBL74sWLSz2mI362QJH3ePnyZb777jt0Oh0jRowo9bj2+tlahFaFdOrUSRs/frzhcW5urhYaGqrNmDGj2P0feOABbfDgwUW2de7cWXvmmWcsGqclxMfHa4C2cePGEveZO3eu5ufnZ72gzGTatGla27Zty71/ZfpcNU3TJk6cqDVs2FDT6/XFPu+onyug/fbbb4bHer1eCw4O1j766CPDths3bmju7u7a4sWLSzyOsd/3tnDzey3Orl27NEC7cOFCifsY+71gK8W930cffVQbNmyYUcepLJ/tsGHDtF69epW6j6N8tuZSZa6cZGVlsXfvXvr06WPY5uTkRJ8+fdi+fXuxr9m+fXuR/QH69+9f4v72LDExEYAaNWqUul9KSgrh4eGEhYUxbNgwjh49ao3wTHb69GlCQ0Np0KABDz/8MFFRUSXuW5k+16ysLBYuXMgTTzxR6grdjvq5Fnbu3DliY2OLfHZ+fn507ty5xM+uIt/39ioxMRGdToe/v3+p+xnzvWBvNmzYQGBgIE2bNmXcuHFcvXq1xH0ry2cbFxfH8uXLGTt2bJn7OvJna6wqk5xcuXKF3NxcgoKCimwPCgoiNja22NfExsYatb+90uv1vPjii9xxxx20atWqxP2aNm3Kd999xx9//MHChQvR6/V07dqVixcvWjFa43Xu3Jl58+axcuVKZs+ezblz5+jWrRvJycnF7l9ZPleA33//nRs3bvDYY4+VuI+jfq43y/98jPnsKvJ9b48yMjKYPHkyo0aNKnXFWmO/F+zJgAEDWLBgAWvXruXDDz9k48aNDBw4kNzc3GL3ryyf7fz58/Hx8WH48OGl7ufIn21FuNg6AGF548eP58iRI2WOT0ZERBAREWF43LVrV5o3b87XX3/N9OnTLR1mhQ0cONBwv02bNnTu3Jnw8HCWLFlSrr9GHNmcOXMYOHAgoaGhJe7jqJ+rULKzs3nggQfQNI3Zs2eXuq8jfy88+OCDhvutW7emTZs2NGzYkA0bNtC7d28bRmZZ3333HQ8//HCZReqO/NlWRJW5chIQEICzszNxcXFFtsfFxREcHFzsa4KDg43a3x5NmDCBZcuWsX79eurUqWPUa11dXbnttts4c+aMhaKzDH9/f5o0aVJi3JXhcwW4cOECa9as4cknnzTqdY76ueZ/PsZ8dhX5vrcn+YnJhQsXWL16dalXTYpT1veCPWvQoAEBAQElxu7ony3A5s2bOXnypNHfw+DYn215VJnkxM3NjQ4dOrB27VrDNr1ez9q1a4v8VVlYREREkf0BVq9eXeL+9kTTNCZMmMBvv/3GunXrqF+/vtHHyM3N5fDhw4SEhFggQstJSUkhMjKyxLgd+XMtbO7cuQQGBjJ48GCjXueon2v9+vUJDg4u8tklJSWxc+fOEj+7inzf24v8xOT06dOsWbOGmjVrGn2Msr4X7NnFixe5evVqibE78mebb86cOXTo0IG2bdsa/VpH/mzLxdYVudb0448/au7u7tq8efO0Y8eOaU8//bTm7++vxcbGapqmaaNHj9Zee+01w/5bt27VXFxctI8//lg7fvy4Nm3aNM3V1VU7fPiwrd5CuY0bN07z8/PTNmzYoF2+fNlwS0tLM+xz8/t9++23tVWrVmmRkZHa3r17tQcffFDz8PDQjh49aou3UG4vv/yytmHDBu3cuXPa1q1btT59+mgBAQFafHy8pmmV63PNl5ubq9WtW1ebPHnyLc858ueanJys7d+/X9u/f78GaP/5z3+0/fv3G2aofPDBB5q/v7/2xx9/aIcOHdKGDRum1a9fX0tPTzcco1evXtoXX3xheFzW972tlPZes7KytLvvvlurU6eOduDAgSLfw5mZmYZj3Pxey/pesKXS3m9ycrL2yiuvaNu3b9fOnTunrVmzRmvfvr3WuHFjLSMjw3CMyvDZ5ktMTNS8vLy02bNnF3sMR/psLaFKJSeapmlffPGFVrduXc3NzU3r1KmTtmPHDsNzPXr00B599NEi+y9ZskRr0qSJ5ubmprVs2VJbvny5lSOuGKDY29y5cw373Px+X3zxRcO/TVBQkDZo0CBt37591g/eSCNHjtRCQkI0Nzc3rXbt2trIkSO1M2fOGJ6vTJ9rvlWrVmmAdvLkyVuec+TPdf369cX+v81/P3q9XnvjjTe0oKAgzd3dXevdu/ct/wbh4eHatGnTimwr7fveVkp7r+fOnSvxe3j9+vWGY9z8Xsv6XrCl0t5vWlqa1q9fP61WrVqaq6urFh4erj311FO3JBmV4bPN9/XXX2uenp7ajRs3ij2GI322lqDTNE2z6KUZIYQQQggjVJmaEyGEEEI4BklOhBBCCGFXJDkRQgghhF2R5EQIIYQQdkWSEyGEEELYFUlOhBBCCGFXJDkRQgghhF2R5EQIIYQQdkWSEyGEEELYFUlOhBBCCGFXJDkRQgghhF35f269EOLUaa2JAAAAAElFTkSuQmCC" + ] }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 27 - }, - { - "metadata": {}, - "cell_type": "code", - "outputs": [], - "execution_count": null, - "source": "", - "id": "5e283827ebb7141b" + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from statsmodels.tsa.exponential_smoothing.ets import ETSModel\n", + "\n", + "from aeon.datasets import load_airline\n", + "from aeon.forecasting import ETSForecaster\n", + "\n", + "airline = load_airline()\n", + "y_train = airline[:100]\n", + "y_test = airline[100:120]\n", + "\n", + "ets = ETSForecaster(\n", + " error_type=\"additive\",\n", + " trend_type=\"additive\",\n", + " seasonality_type=\"additive\",\n", + " seasonal_period=12,\n", + " alpha=0.2550646708489574,\n", + " beta=2.550646708489574e-02,\n", + " gamma=0.7448608356181274,\n", + " phi=1.0,\n", + ")\n", + "statsmodels_ets = ETSModel(\n", + " endog=y_train,\n", + " error=\"add\",\n", + " trend=\"add\",\n", + " seasonal=\"add\",\n", + " seasonal_periods=12,\n", + " damped_trend=False,\n", + ")\n", + "\n", + "ets_forecasts = ets.iterative_forecast(y_train, 20)\n", + "sm_model = statsmodels_ets.fit()\n", + "statsmodels_forecasts = sm_model.forecast(steps=20)\n", + "print(f\"Alpha: {ets.alpha}, Beta: {ets.beta}, Gamma: {ets.gamma}, Phi: {ets.phi}\")\n", + "print(\n", + " f\"Alpha: {sm_model.alpha}, Beta: {sm_model.beta if sm_model.has_trend else 'N/A'}, \\\n", + " Gamma: {sm_model.gamma if sm_model.has_seasonal else 'N/A'}, \\\n", + " Phi: {sm_model.phi if sm_model.damped_trend else 'N/A'}\"\n", + ")\n", + "# plt.plot(np.arange(0, len(y_train)), y_train, label=\"Train\", color=\"blue\")\n", + "plt.plot(\n", + " # np.arange(len(y_train), len(y_train) + len(y_test)),\n", + " y_test,\n", + " label=\"Actual\",\n", + " color=\"orange\",\n", + ")\n", + "plt.plot(\n", + " # np.arange(len(y_train), len(y_train) + len(ets_forecasts)),\n", + " ets_forecasts,\n", + " label=\"Aeon\",\n", + " color=\"red\",\n", + " linestyle=\":\",\n", + ")\n", + "plt.plot(\n", + " # np.arange(len(y_train), len(y_train) + len(statsmodels_forecasts)),\n", + " statsmodels_forecasts,\n", + " label=\"Statsmodels\",\n", + " color=\"green\",\n", + " linestyle=\":\",\n", + ")\n", + "plt.legend()\n", + "plt.show()" + ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "aeon-venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.6" + "pygments_lexer": "ipython3", + "version": "3.13.5" } }, "nbformat": 4,