{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exponential smoothing\n", "\n", "Let us consider chapter 7 of the excellent treatise on the subject of Exponential Smoothing By Hyndman and Athanasopoulos [1].\n", "We will work through all the examples in the chapter as they unfold.\n", "\n", "[1] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2014.](https://www.otexts.org/fpp/7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading data\n", "\n", "First we load some data. We have included the R data in the notebook for expedience." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.020317Z", "start_time": "2017-12-07T12:39:14.263100Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:42.735385Z", "iopub.status.busy": "2026-07-28T19:05:42.735232Z", "iopub.status.idle": "2026-07-28T19:05:46.442151Z", "shell.execute_reply": "2026-07-28T19:05:46.441477Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from statsmodels.tsa.api import ExponentialSmoothing, Holt, SimpleExpSmoothing\n", "\n", "%matplotlib inline\n", "\n", "data = [\n", " 446.6565,\n", " 454.4733,\n", " 455.663,\n", " 423.6322,\n", " 456.2713,\n", " 440.5881,\n", " 425.3325,\n", " 485.1494,\n", " 506.0482,\n", " 526.792,\n", " 514.2689,\n", " 494.211,\n", "]\n", "index = pd.date_range(start=\"1996\", end=\"2008\", freq=\"YE\")\n", "oildata = pd.Series(data, index)\n", "\n", "data = [\n", " 17.5534,\n", " 21.86,\n", " 23.8866,\n", " 26.9293,\n", " 26.8885,\n", " 28.8314,\n", " 30.0751,\n", " 30.9535,\n", " 30.1857,\n", " 31.5797,\n", " 32.5776,\n", " 33.4774,\n", " 39.0216,\n", " 41.3864,\n", " 41.5966,\n", "]\n", "index = pd.date_range(start=\"1990\", end=\"2005\", freq=\"YE\")\n", "air = pd.Series(data, index)\n", "\n", "data = [\n", " 263.9177,\n", " 268.3072,\n", " 260.6626,\n", " 266.6394,\n", " 277.5158,\n", " 283.834,\n", " 290.309,\n", " 292.4742,\n", " 300.8307,\n", " 309.2867,\n", " 318.3311,\n", " 329.3724,\n", " 338.884,\n", " 339.2441,\n", " 328.6006,\n", " 314.2554,\n", " 314.4597,\n", " 321.4138,\n", " 329.7893,\n", " 346.3852,\n", " 352.2979,\n", " 348.3705,\n", " 417.5629,\n", " 417.1236,\n", " 417.7495,\n", " 412.2339,\n", " 411.9468,\n", " 394.6971,\n", " 401.4993,\n", " 408.2705,\n", " 414.2428,\n", "]\n", "index = pd.date_range(start=\"1970\", end=\"2001\", freq=\"YE\")\n", "livestock2 = pd.Series(data, index)\n", "\n", "data = [407.9979, 403.4608, 413.8249, 428.105, 445.3387, 452.9942, 455.7402]\n", "index = pd.date_range(start=\"2001\", end=\"2008\", freq=\"YE\")\n", "livestock3 = pd.Series(data, index)\n", "\n", "data = [\n", " 41.7275,\n", " 24.0418,\n", " 32.3281,\n", " 37.3287,\n", " 46.2132,\n", " 29.3463,\n", " 36.4829,\n", " 42.9777,\n", " 48.9015,\n", " 31.1802,\n", " 37.7179,\n", " 40.4202,\n", " 51.2069,\n", " 31.8872,\n", " 40.9783,\n", " 43.7725,\n", " 55.5586,\n", " 33.8509,\n", " 42.0764,\n", " 45.6423,\n", " 59.7668,\n", " 35.1919,\n", " 44.3197,\n", " 47.9137,\n", "]\n", "index = pd.date_range(start=\"2005\", end=\"2010-Q4\", freq=\"QS-OCT\")\n", "aust = pd.Series(data, index=index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple Exponential Smoothing\n", "Lets use Simple Exponential Smoothing to forecast the below oil data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.189907Z", "start_time": "2017-12-07T12:39:15.022229Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:46.446952Z", "iopub.status.busy": "2026-07-28T19:05:46.446616Z", "iopub.status.idle": "2026-07-28T19:05:46.788292Z", "shell.execute_reply": "2026-07-28T19:05:46.787662Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = oildata.plot()\n", "ax.set_xlabel(\"Year\")\n", "ax.set_ylabel(\"Oil (millions of tonnes)\")\n", "print(\"Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we run three variants of simple exponential smoothing:\n", "1. In ```fit1``` we do not use the auto optimization but instead choose to explicitly provide the model with the $\\alpha=0.2$ parameter\n", "2. In ```fit2``` as above we choose an $\\alpha=0.6$\n", "3. In ```fit3``` we allow statsmodels to automatically find an optimized $\\alpha$ value for us. This is the recommended approach." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.785068Z", "start_time": "2017-12-07T12:39:15.191930Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:46.794534Z", "iopub.status.busy": "2026-07-28T19:05:46.794318Z", "iopub.status.idle": "2026-07-28T19:05:47.504962Z", "shell.execute_reply": "2026-07-28T19:05:47.504120Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(3).rename(r\"$\\alpha=0.2$\")\n", "fit2 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.6, optimized=False\n", ")\n", "fcast2 = fit2.forecast(3).rename(r\"$\\alpha=0.6$\")\n", "fit3 = SimpleExpSmoothing(oildata, initialization_method=\"estimated\").fit()\n", "fcast3 = fit3.forecast(3).rename(\n", " r\"$\\alpha={}$\".format(fit3.model.params[\"smoothing_level\"])\n", ")\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(oildata, marker=\"o\", color=\"black\")\n", "plt.plot(fit1.fittedvalues, marker=\"o\", color=\"blue\")\n", "(line1,) = plt.plot(fcast1, marker=\"o\", color=\"blue\")\n", "plt.plot(fit2.fittedvalues, marker=\"o\", color=\"red\")\n", "(line2,) = plt.plot(fcast2, marker=\"o\", color=\"red\")\n", "plt.plot(fit3.fittedvalues, marker=\"o\", color=\"green\")\n", "(line3,) = plt.plot(fcast3, marker=\"o\", color=\"green\")\n", "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Holt's Method\n", "\n", "Lets take a look at another example.\n", "This time we use air pollution data and the Holt's Method.\n", "We will fit three examples again.\n", "1. In ```fit1``` we again choose not to use the optimizer and provide explicit values for $\\alpha=0.8$ and $\\beta=0.2$\n", "2. In ```fit2``` we do the same as in ```fit1``` but choose to use an exponential model rather than a Holt's additive model.\n", "3. In ```fit3``` we used a damped versions of the Holt's additive model but allow the dampening parameter $\\phi$ to be optimized while fixing the values for $\\alpha=0.8$ and $\\beta=0.2$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:16.114361Z", "start_time": "2017-12-07T12:39:15.786542Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:47.507221Z", "iopub.status.busy": "2026-07-28T19:05:47.507020Z", "iopub.status.idle": "2026-07-28T19:05:48.235581Z", "shell.execute_reply": "2026-07-28T19:05:48.234925Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = Holt(air, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(5).rename(\"Holt's linear trend\")\n", "fit2 = Holt(air, exponential=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast2 = fit2.forecast(5).rename(\"Exponential trend\")\n", "fit3 = Holt(air, damped_trend=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2\n", ")\n", "fcast3 = fit3.forecast(5).rename(\"Additive damped trend\")\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(air, marker=\"o\", color=\"black\")\n", "plt.plot(fit1.fittedvalues, color=\"blue\")\n", "(line1,) = plt.plot(fcast1, marker=\"o\", color=\"blue\")\n", "plt.plot(fit2.fittedvalues, color=\"red\")\n", "(line2,) = plt.plot(fcast2, marker=\"o\", color=\"red\")\n", "plt.plot(fit3.fittedvalues, color=\"green\")\n", "(line3,) = plt.plot(fcast3, marker=\"o\", color=\"green\")\n", "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Seasonally adjusted data\n", "Lets look at some seasonally adjusted livestock data. We fit five Holt's models.\n", "The below table allows us to compare results when we use exponential versus additive and damped versus non-damped.\n", " \n", "Note: ```fit4``` does not allow the parameter $\\phi$ to be optimized by providing a fixed value of $\\phi=0.98$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:16.605618Z", "start_time": "2017-12-07T12:39:16.116424Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:48.237809Z", "iopub.status.busy": "2026-07-28T19:05:48.237423Z", "iopub.status.idle": "2026-07-28T19:05:48.936751Z", "shell.execute_reply": "2026-07-28T19:05:48.936110Z" } }, "outputs": [ { "data": { "text/html": [ "
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SESHolt'sExponentialAdditiveMultiplicative
$\\alpha$1.0000000.9743060.9776330.9788480.974911
$\\beta$NaN0.0000000.0000000.0000000.000000
$\\phi$NaNNaNNaN0.9800000.981646
$l_0$263.917734258.882615260.341492257.357696258.951791
$b_0$NaN5.0107951.0137806.6445471.038145
SSE6761.3502356004.1382006104.1947466036.5550046081.995045
\n", "
" ], "text/plain": [ " SES Holt's Exponential Additive Multiplicative\n", "$\\alpha$ 1.000000 0.974306 0.977633 0.978848 0.974911\n", "$\\beta$ NaN 0.000000 0.000000 0.000000 0.000000\n", "$\\phi$ NaN NaN NaN 0.980000 0.981646\n", "$l_0$ 263.917734 258.882615 260.341492 257.357696 258.951791\n", "$b_0$ NaN 5.010795 1.013780 6.644547 1.038145\n", "SSE 6761.350235 6004.138200 6104.194746 6036.555004 6081.995045" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n", "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n", "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n", "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(\n", " damping_trend=0.98\n", ")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$l_0$\", \"$b_0$\", \"SSE\"],\n", " columns=[\"SES\", \"Holt's\", \"Exponential\", \"Additive\", \"Multiplicative\"],\n", ")\n", "results[\"SES\"] = [fit1.params[p] for p in params] + [fit1.sse]\n", "results[\"Holt's\"] = [fit2.params[p] for p in params] + [fit2.sse]\n", "results[\"Exponential\"] = [fit3.params[p] for p in params] + [fit3.sse]\n", "results[\"Additive\"] = [fit4.params[p] for p in params] + [fit4.sse]\n", "results[\"Multiplicative\"] = [fit5.params[p] for p in params] + [fit5.sse]\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plots of Seasonally Adjusted Data\n", "The following plots allow us to evaluate the level and slope/trend components of the above table's fits." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:17.105928Z", "start_time": "2017-12-07T12:39:16.607306Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:48.941254Z", "iopub.status.busy": "2026-07-28T19:05:48.941045Z", "iopub.status.idle": "2026-07-28T19:05:49.655949Z", "shell.execute_reply": "2026-07-28T19:05:49.655308Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.4: Level and slope components for Holt's linear trend method and the additive damped trend method.\n" ] } ], "source": [ "for fit in [fit2, fit4]:\n", " pd.DataFrame(np.c_[fit.level, fit.trend]).rename(\n", " columns={0: \"level\", 1: \"slope\"}\n", " ).plot(subplots=True)\n", "plt.show()\n", "print(\n", " \"Figure 7.4: Level and slope components for Holt's linear trend method and the additive damped trend method.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison\n", "Here we plot a comparison Simple Exponential Smoothing and Holt's Methods for various additive, exponential and damped combinations. All of the models parameters will be optimized by statsmodels." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:18.038995Z", "start_time": "2017-12-07T12:39:17.108323Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:49.665371Z", "iopub.status.busy": "2026-07-28T19:05:49.665147Z", "iopub.status.idle": "2026-07-28T19:05:51.426088Z", "shell.execute_reply": "2026-07-28T19:05:51.420528Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\n" ] } ], "source": [ "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n", "fcast1 = fit1.forecast(9).rename(\"SES\")\n", "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n", "fcast2 = fit2.forecast(9).rename(\"Holt's\")\n", "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n", "fcast3 = fit3.forecast(9).rename(\"Exponential\")\n", "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(\n", " damping_trend=0.98\n", ")\n", "fcast4 = fit4.forecast(9).rename(\"Additive Damped\")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "fcast5 = fit5.forecast(9).rename(\"Multiplicative Damped\")\n", "\n", "ax = livestock2.plot(color=\"black\", marker=\"o\", figsize=(12, 8))\n", "livestock3.plot(ax=ax, color=\"black\", marker=\"o\", legend=False)\n", "fcast1.plot(ax=ax, color=\"red\", legend=True)\n", "fcast2.plot(ax=ax, color=\"green\", legend=True)\n", "fcast3.plot(ax=ax, color=\"blue\", legend=True)\n", "fcast4.plot(ax=ax, color=\"cyan\", legend=True)\n", "fcast5.plot(ax=ax, color=\"magenta\", legend=True)\n", "ax.set_ylabel(\"Livestock, sheep in Asia (millions)\")\n", "plt.show()\n", "print(\n", " \"Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-10-05T09:40:15.958575Z", "start_time": "2017-10-05T09:40:15.615Z" } }, "source": [ "## Holt's Winters Seasonal\n", "Finally we are able to run full Holt's Winters Seasonal Exponential Smoothing including a trend component and a seasonal component.\n", "statsmodels allows for all the combinations including as shown in the examples below:\n", "1. ```fit1``` additive trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "1. ```fit2``` additive trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation..\n", "1. ```fit3``` additive damped trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "1. ```fit4``` additive damped trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "\n", "The plot shows the results and forecast for ```fit1``` and ```fit2```.\n", "The table allows us to compare the results and parameterizations." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.375871Z", "start_time": "2017-12-07T12:39:18.040674Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:51.430465Z", "iopub.status.busy": "2026-07-28T19:05:51.430259Z", "iopub.status.idle": "2026-07-28T19:05:54.606041Z", "shell.execute_reply": "2026-07-28T19:05:54.603814Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\n" ] }, { "data": { "text/html": [ "
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AdditiveMultiplicativeAdditive DamMultiplica Dam
$\\alpha$1.490116e-081.490116e-081.490116e-081.490116e-08
$\\beta$1.479706e-081.480632e-086.360103e-094.920092e-09
$\\phi$NaNNaN9.430386e-019.536081e-01
$\\gamma$0.000000e+000.000000e+000.000000e+000.000000e+00
$l_0$1.119347e+011.140986e+011.084019e+011.142926e+01
$b_0$1.205404e-011.236509e-012.456845e-012.280610e-01
SSE4.402740e+013.611259e+013.527619e+013.062012e+01
\n", "
" ], "text/plain": [ " Additive Multiplicative Additive Dam Multiplica Dam\n", "$\\alpha$ 1.490116e-08 1.490116e-08 1.490116e-08 1.490116e-08\n", "$\\beta$ 1.479706e-08 1.480632e-08 6.360103e-09 4.920092e-09\n", "$\\phi$ NaN NaN 9.430386e-01 9.536081e-01\n", "$\\gamma$ 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00\n", "$l_0$ 1.119347e+01 1.140986e+01 1.084019e+01 1.142926e+01\n", "$b_0$ 1.205404e-01 1.236509e-01 2.456845e-01 2.280610e-01\n", "SSE 4.402740e+01 3.611259e+01 3.527619e+01 3.062012e+01" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit3 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit4 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$\\gamma$\", r\"$l_0$\", \"$b_0$\", \"SSE\"]\n", ")\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"smoothing_seasonal\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results[\"Additive\"] = [fit1.params[p] for p in params] + [fit1.sse]\n", "results[\"Multiplicative\"] = [fit2.params[p] for p in params] + [fit2.sse]\n", "results[\"Additive Dam\"] = [fit3.params[p] for p in params] + [fit3.sse]\n", "results[\"Multiplica Dam\"] = [fit4.params[p] for p in params] + [fit4.sse]\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit1.fittedvalues.plot(ax=ax, style=\"--\", color=\"red\")\n", "fit2.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "\n", "fit1.forecast(8).rename(\"Holt-Winters (add-add-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"red\", legend=True\n", ")\n", "fit2.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "\n", "plt.show()\n", "print(\n", " \"Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\"\n", ")\n", "\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Internals\n", "It is possible to get at the internals of the Exponential Smoothing models. \n", "\n", "Here we show some tables that allow you to view side by side the original values $y_t$, the level $l_t$, the trend $b_t$, the season $s_t$ and the fitted values $\\hat{y}_t$. Note that these values only have meaningful values in the space of your original data if the fit is performed without a Box-Cox transformation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T19:05:54.608114Z", "iopub.status.busy": "2026-07-28T19:05:54.607902Z", "iopub.status.idle": "2026-07-28T19:05:55.133304Z", "shell.execute_reply": "2026-07-28T19:05:55.132750Z" } }, "outputs": [], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.399765Z", "start_time": "2017-12-07T12:39:28.377215Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:55.135940Z", "iopub.status.busy": "2026-07-28T19:05:55.135700Z", "iopub.status.idle": "2026-07-28T19:05:55.163077Z", "shell.execute_reply": "2026-07-28T19:05:55.162567Z" } }, "outputs": [], "source": [ "df = pd.DataFrame(\n", " np.c_[aust, fit1.level, fit1.trend, fit1.season, fit1.fittedvalues],\n", " columns=[r\"$y_t$\", r\"$l_t$\", r\"$b_t$\", r\"$s_t$\", r\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\n", "forecasts = fit1.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame()\n", "df = pd.concat([df, forecasts], axis=0, sort=True)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.574783Z", "start_time": "2017-12-07T12:39:28.401234Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:55.167342Z", "iopub.status.busy": "2026-07-28T19:05:55.167141Z", "iopub.status.idle": "2026-07-28T19:05:55.193008Z", "shell.execute_reply": "2026-07-28T19:05:55.189740Z" } }, "outputs": [], "source": [ "df = pd.DataFrame(\n", " np.c_[aust, fit2.level, fit2.trend, fit2.season, fit2.fittedvalues],\n", " columns=[r\"$y_t$\", r\"$l_t$\", r\"$b_t$\", r\"$s_t$\", r\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\n", "forecasts = fit2.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame()\n", "df = pd.concat([df, forecasts], axis=0, sort=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally lets look at the levels, slopes/trends and seasonal components of the models." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:29.636548Z", "start_time": "2017-12-07T12:39:28.576279Z" }, "execution": { "iopub.execute_input": "2026-07-28T19:05:55.195223Z", "iopub.status.busy": "2026-07-28T19:05:55.195022Z", "iopub.status.idle": "2026-07-28T19:05:56.832406Z", "shell.execute_reply": "2026-07-28T19:05:56.831742Z" } }, "outputs": [ { "data": { "image/png": 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SdEtelshQBe7v4tVi8rK0mKC7GSRpNwk8j0R0ty7lXENcvBqrElKQXVQulYe1bYVIpQJjeraG3KbFDEvUCDhGGQbPIxHdrYKSSqw7looYlZp5WW7S7D/dyGTVzwRUVFTA3t7eyL0xfyUl1dM/ra3NO4MgETWNskoNtp5KR8xhNQ5dypPKPRxtMCXEH9NCFejo5WjEHlJzUDMmlZSUcKw3AI71RNQQWq3AwUu5iFXVk5clVIF+7Vt2XpZmH3RbWVlBLpcjOzsb1tbWsLRsGVMYDE0IgZKSEmRlZcHV1VX6MoOIqC6nrk8pW3csFUVlN6aUDensiShlAIZ1bTlTyqjxyWQyuLq6IisrCwAgl8v5eMJd4FhPRA1Rk5clLl6NK7k38rJ0ae2EaKUCE4P9mJflumYfdFtYWMDHxweXLl3ClStXjN0ds+fq6orWrVsbuxtEZIIKSiux4XgaYlXJOJV6Y0qZv5s9IkMVmNrHH76uvAtJjaNmbKoJvOnucawnovpUabTYfTYbsapk7D6bDc31xCyOUl4WBXr6ufCLz1s0+6AbAGxsbNCpUydUVFTcuTLVy9ramt96E5EOIQQOX8pDrEqNzSfTUV4zpUxmiRHdvRGtDED/Di17Shk1jZov2b28vFBZWWns7pgtjvVEVJfLOdcQG6/G6oQUZN2Ul0XZ1g1RygDmZbmDFnNmLC0tYWfX8h7aJyJqDFlFZVidkIq4eDUu5VyTygO9nRClVGBSsB/cHDiljJqeTCZj0EhEZABllRpsO5WBGFUyDl68kZfF3cEGU/swL0tDtJigm4iI7k2VRos957IRc1iNXWeypCllDjYyjO/ti8hQBXorXDmljIiIyIydTruel+VoKgpvyssyuLMnopUKDO3iDRsr5mVpCAbdRER0W8m5JYiLV2NlghqZhTemlIUEuCJaGYCIIB842HI4ISIiMleFZZVYfywNcSo1TqYWSOV+rvaIUjIvy73ipyQiIqqlrFKD7aczEBevxv/O50rlrRxsMDnYD5FKBTp7Oxmxh0RERHQvhBBQXb6KGFUytpxMR1mlbl6WKKUCAzp4MC+LATDoJiIiSVJ6IWJVaqw9moqC0upkVBYWwKBOnogKVeCBbl6wteLzskREROYqu6gcq4+kIE6lxsWb8rJ09nZElDIAk4L90Ip5WQyqyYLuxMRE/Pvf/0ZISAiefvppqXzr1q1Yv369Tl25XI5PP/20qbpGRNSiFZVVYuPxdMSqknE85caUMl8XO0wLVWBaqD/83eRG7CERERHdi5q8LLEqNXYlZaHqel4WuY0M43v5IkrJvCyNqUmC7tLSUkRFRSE7Oxs5OTk6QXdCQgJ27NiBuXPnSmW2trZN0S0iohZLCIEjyVcRc1iNTSfSUVqpAQBYyywwvJs3IkMVGNTJEzJOKSMiIjJb6rzreVniU5BRWCaVBwe4IlqpQESQLxyZl6XRNckZfuGFFxAeHo5Lly7V+b6XlxeeffbZpugKEVGLlltcjjVHUhGjSsaF7BtTyjp4OiBaGYBJIX7wcOQXn0REROaqrFKDHYmZiFUl6+RlcZNbY3KIP6KYl6XJNXrQvWrVKuzbtw/x8fGYNm1anXUyMjLw6quvws7ODmFhYRg3blxjd4uIqMXQaAX2nc9BrCoZvydmolJTPaXM3lqGsUE+iA5TICTAjVPKiIiIzNiZjBt5WfJLbuRlGdjRA1FKBYZ382ZeFiNp1KD78uXLmDVrFrZv3w57+/pTzLdp0watWrVCfn4+Hn30UfTr1w8bN26EpWXd67+Vl5ejvPzGsjWFhYUG7zsRkblLuVqClfEpWBmvRlrBjSllvfxdEKUMwLhePnCyszZiD4mIiOheFJdXYePxNMSo1DiuzpfKfWrysvTxh6IV87IYW6MF3VVVVXjwwQcxd+5c9O7du956jz32GN58803p9eOPP45evXph2bJleOKJJ+rcZvHixZg/f76hu0xEZPbKqzTYmZiFGFUy9p3Pgai+qQ0Xe2tMCvZDlFKBrj7Oxu0kERER3bWb87JsPpmOkorqvCxWlhZ4oGv1Ul+DOzMviymxEKLmI5lhbdq0CVOmTMGjjz4qTVncunUrrKysMHz4cCxcuBDu7u51bjtgwAB06dIFP/zwQ53v13WnW6FQoKCgAM7O/DBJRC3P35lF0pSyvGsVUnn/Du6IUiowsntr2FlzSllTKSwshIuLC8clA+I5JaKWLre4HGuPpiJGpcb5rGKpvL2nA6KVCkwK9oenE/OyNCV9x6ZGu9Pdo0cPfPHFFzpl+/fvh5WVFXr37g0bm/rXfisrK4NGo6n3fVtbW2Y4J6IW71p5FTafSEeMKhlHkvOlcm9nW0zro0BkqAIB7pxSRkREZK7qy8tiZ22JsUHVS32FtmFeFlPXaEF327Zta2Uk37RpE+zs7HTKN2/ejIiICOn19u3bcfToUbz66quN1TUiIrMlhMAxdT5iVWpsPJ6Ga9enlMksLTCsixeilAoM6ewJK1ndOTGIiIjI9NXkZVmVkILU/FKpvJe/CyKVCozr5Qtn5mUxG0ZflG3dunV47bXX0KtXL+Tk5OCvv/7CK6+8gqioKGN3jYjIZORdq8Dao6mIU6lxNrNIKm/n4YAopQKTQ/zg5WRnxB4SERHRvaio0mJnUiZiVGrsPZddKy9LZKgC3Xz5eI05atKge9asWbCy0t3l999/jwsXLkClUkEul2Pp0qVQKBRN2S0iIpOk1Qrsv5CLGFUydpzORIVGCwCwtbJERE8fRCkVCGvXilPKiIiIzNi563lZ1jAvS7PVpEH36NGj6yzv0KEDOnTo0JRdISIyWWn5pViVkIK4eDVSrt6YUtbDzxlRygCM7+ULF3tOKSMiIjJXd8rLMi3UH23cHYzXQTIoo08vJyKi6illf5ypnlK25+9saK9PKXOys8LE3tVLffXwczFuJ4mIiOiu3S4vy/2BXngwjHlZmisG3URERnQ+qxhx8WqsOZKCnOIbU8r6tmuF6DAFRvfw4ZQyIiIiM3b1el6W2FvysrR1lyNKGYApIX7wcmZeluaMQTcRURMrqajClpMZiFUlQ3X5qlTu6WSLqX38ERmqQDsPTikjIiIyV3fKyxKpVKAv87K0GAy6iYiagBACJ1MLEKNSY8OxNBSXVwEALC2AoV28EBmqwP1dvGDNKWVERERmK72gFCvja+dl6e7rjGilAuN7+zEvSwvEoJuIqBHll1Rg3dFUxManICm9UCoPaCVHlFKBKSH+aO3CKWVERETmqlKjxa6kLMSqkvEX87JQHRh0ExEZmFYrcPBSLmJVamw9lYGKquopZTZWlhjdozWilAr0a+cOS0tOKSMiIjJXF7KLEadSY3UdeVmilNV5WextmJeFGHQTERlMZmEZViWkIFalRnJeiVTepbUTHgwLwITevnCV2xixh0RERHQvSis02HwyHXEqNQ5fzpPKPRxr8rL4o72noxF7SKaIQTcR0T2o1Gix+0wW4uLV+ONMljSlzNHWCuN6+eLBMAV6+rkwUQoREZGZEkLgVGohYlTJ2HAsDUU35WUJD/RCtJJ5Wej2GHQTEd2FSznXEBevxqqEFGQXlUvlyrZuiFIGYEzP1pDb8E8sERGRuSooqcS6Y6mIUamZl4XuCT8REhHpqaxSg62n0hFzWI1Dl25MKXN3sMHUPv6YFqpARy9OKaOWKzs7Gw899BCsrKywadMmqTwxMREzZ86sVf/bb79FYGBgU3aRiOi2bpeXZVT31ohWKtCvPfOyUMMw6CYiuoNTqQWIVamx7lgqispuTCkb3NkT0UoFhnbxho0Vp5RRyyaEwKOPPoorV64gPT1d573CwkL89ddf2LJlC+zt7aVyX1/fpu4mEVGdavKyxMWrcSVXNy9LtFKBicF+zMtCd41BNxFRHQpKK7HheBpiVck4lXpjSpmfqz2ilApM7eMPX1f727RA1LJ8+umnqKysxNNPP4358+fXWWfQoEFwdORsECIyDVUaLXafzUasKhm7z2ZDcz0xi6OtFcb39kVUqAJB/szLQveOQTcR0XVCCBy+lIdYlRqbT6ajvGZKmcwSI7p7I0qpwIAOHpxSRnSLhIQEfPLJJ4iPj0dcXFy99R566CFUVlaia9eumDNnDhQKRRP2koio2uWca4iNV2N1QgqybsrLEtrGDVFKBSKCfJiXhQyKVxMRtXhZRWVYnZCKuHg1LuVck8o7ezsiShmAScF+aOXAKWVEdSkqKkJ0dDS+/vrr204XHzZsGCZNmgS5XI5ffvkFXbt2xYEDB9CzZ88665eXl6O8/MaH4cLCwjrrERHpo6xSg22nMhCjSsbBi7p5Wab08Uck87JQI2LQTUQtUpVGiz3nshFzWI1dZ7KkKWVyGxnG9/JFlFKB3gpXTikjuoNnn30W4eHhmDRpUr11evXqhd9//136fZoyZQoGDx6M1157DVu2bKlzm8WLF9c7TZ2ISF+n067nZTmaisLreVksLIDBnarzsgzryrws1PgshBDC2J24V4WFhXBxcUFBQQGcnZ2N3R0iMmHJuSXSUl8ZhWVSeUiAK6KVAYgI8oGDLb+PpHvTUsala9euwdHREUqlEnK5HACQkpKCy5cvY+DAgXj11VcRERFR57YLFizAN998g7S0tDrfr+tOt0KhaPbnlIjuXWFZJTYcS0OsSo2TqQVSOfOykKHpO97zkyURNXtllRrsSMxErCoZ/zufK5W7ya0xJcQfUUoFOnk7GbGHRObJzs4Ou3fv1ilbtWoVfvrpJ7zzzju3XQ4sOzsbdnb1r29ra2sLW1tbg/WViJo3IQRUl68iRpWMLSfTUVZ5Iy/L8O7eiGZeFjIiBt1E1GydyShEzGE11h5NRUFpJYDqKWUDO3ogWhmAB7p5wdZKZuReEpkvmUyG8PBwnbJjx47ByspKp/yXX37B/fffD39/fwCASqXCsmXLMGvWrCbsLRE1R9lF5Vh9JAVxKjUuMi8LmSgG3UTUrBSXV2Hj8TTEqNQ4rs6Xyn1d7DAtVIFpof7wd5Mbr4NELZCnpyceeOABWFpawtLSEhcuXMAzzzyDd99919hdIyIzpNEK7Pk7GzGqZOxKykLVLXlZIpUKBDMvC5kQBt1EZPaEEDiSfBUxh6uX+iqp0AAArGUWGN7NG5GhCgzq5AkZp5QRNbqpU6ciNDRUp2zUqFFISkrCuXPnUFpaig4dOnC9biJqMHVeCVbGq7EyIQXpBbp5WaqX+vKFI/OykAniVUlEZiu3uBxrj6YiRqXG+axiqbyDpwOilQGYFOIHD0c+E0rUlPz9/aVp5DezsLBA586djdAjIjJn5VUa7DidiViVGvvO50jlbnJrTL6el6Uz87KQiWPQTURmRaMV2Hc+B7GqZPyemIlKTfWUMntrGcYG+SA6TIGQADdOKSMiIjJjZzOKEKNKxtqjqcgvYV4WMm8MuonILKRcLcHK+BSsjFcj7aYpZb38XRClDMC4Xj5wsrM2Yg+JiIjoXtTkZYlVqXHslrwsU0MVmNbHH4pWzMtC5odBNxGZrPIqDXYmZiFGlYx953Mgqm9qw8XeGpOC/RClVKCrD9frJSIiMlc1eVliVWpsOnEjL4uVZXVeligl87KQ+WPQTUQm51xmEWJVaqw5moq8axVS+YCO7ohSBmBEN2/YWXNKGRERkbliXhZqSRh0E5FJuFZehc0n0hGjSsaR5Hyp3NvZFtP6KBAZqkCAO6eUERERmavb5WWJCPJBtFKBPm2Yl4WaHwbdRGQ0QggcU+cjVqXGxuNpuHZ9SpnM0gLDunghOkyBwZ08YSWzNHJPiYiI6G6l5pdWL/UVn4LU/FKpnHlZqKVg0E1ETe7qtQqsPZqKWJUaZzOLpPJ2Hg6IUiowOcQPXk52RuwhERER3YuKKi12JmUiRqXG3nPZtfKyRIYq0M2XeVmoZWDQTURNQqsV2H8hFzGqZOw4nYkKjRYAYGtliYiePohSKhDWrhWnlBEREZmx+vKy9O/gjiilAiO7t2ZeFmpxGHQTUaNKLyjFyvgUxMWrkXL1xpSyHn7OiApVYHxvP7jYc0oZERGRubpWXoXNJ9MRq1Ij4cpVqdzb2RZT+/gjMlSBNu4ORuwhkXEx6CYig6vUaLErKQuxqmT89Xc2tNenlDnZWUlTynr4uRi3k0RERHTXhBA4nlKAWFUyNhzTzcsytIsXopUKDOnMvCxEAINuIjKgC9nFiFOpsfpICnKKb0wp69uuFaLDFBjdw4dTyoiIiMxYTV6WuHg1zmTcyMvS1l2OKGUApoT4wcuZeVmIbsagm4juSUlFFbaczECcSo3Dl/Okck+nG1PK2nlwShkREZG5qsnLEhuvxvZTGbXyskQqFejLvCxE9WLQTUQNJoTAydQCxKrU2HAsDUXlVQAASwtgaBcvRIYqcH8XL1hzShkREZHZSi8oxar4FMTekpelu68zopXMy0KkLwbdRKS3gpJKrDuWihiVGknphVJ5QCs5opQKTAnxR2sXTikjIiIyVzV5WeLi1fjzbJZOXpaJvf0QpWReFqKGYtBNRLel1QocvJSLWJUaW09loKKqekqZjZUlRvdojSilAv3aucPSklPKiIiIzNXF7GLExquxOkE3L0tYu1aIVlbnZbG3YV4WorvBoJuI6pRZWIZVCdVLfV3JLZHKu7R2QpRSgUnBfnCV2xixh0RERHQvSis02HJ9qa+b87J4ONpiSh8/RIUq0N7T0Yg9JGoeGHQTkaRKo8Xus9mIVSVj99lsaK7PKXO0tcL43r6IVirQ08+FiVKIiIjMlBACp1ILEXN9qa+b87LcH+iFSKUCQ5mXhcigGHQTES7nXJOmlGUVlUvlyrZuiFIGYEzP1pDb8M8FERGRubpdXpbIUH9M7aNgXhaiRsJP0UQtVFmlBttOZSBGlYyDF29MKXN3sMHUPv6YFqpARy9OKSMiIjJXNXlZ4lRqbLklL8uo7q0RrVSgX3vmZSFqbAy6iVqY02nVS32tO5qKwrIbU8oGd/ZEtFKBoV28YWPFKWVERETm6nZ5WaKVCkxkXhaiJsWgm6gFKCyrxPpjaYhTqXEytUAq93O1R5RSgal9/OHram/EHhIREdG9uFNelqhQBYL8mZeFyBgYdBM1U0IIqC5fRYwqGVtOpqOs8vqUMpklRnT3RpRSgQEdPDiljIiIyIxdzrmGuHg1Vt2SlyW0jRuilApEBPkwLwuRkfE3kKiZyS4qx+ojKYhTqXEx55pU3tnbEZGhCkwO8UcrB04pIyIiMle3y8syOcQPUcoA5mUhMiEMuomagSqNFnvOZSNWpcaupCxUXZ9SJreRYXwvX0QpFeitcOWUMiIiIjNWV14WCwtgSGdPRIUqMKwr87IQmSIG3URmTJ1Xgrh4NVbGpyCjsEwqDwlwvT6lzBeOtvw1JyIiMleFZZXYcCwNsXXkZYkMVWBqqD/8mJeFyKTx0ziRmSmr1GBHYiZiVcn43/lcqdxNbo3JIf6IUirQ2dvJiD0kIiKie1GTlyVWpcbmk2lSXhZrmQVGXF/qi3lZiMwHg24iM3EmoxCxKjXWHk1FfkklgOopZQM7eiBaGYAHunnB1kpm5F4SERHR3couKseaIymIZV4WomalyYLuAwcOYOHChRg4cCBef/11nfcuXryIr776CleuXEGnTp3wwgsvoHXr1k3VNSKTVVxehY3H0xCjUuO4Ol8q93Wxw7RQBaaF+sPfTW68DhIREdE90WgF9vxdnZdlZ1JmrbwskUoFgpmXhcisNUnQnZ+fj4ceeghVVVWws7PTee/ChQtQKpUYMWIEJk6ciF9//RWhoaE4evQoPD09m6J7RCZFCIEjyVcRc1iNzSfTUVKhAVA9pWx4N29EhiowqJMnZJxSRkREZLbUeSVYGa/GyoQUpBfcyMsSHOCKaOZlIWpWmuQ3+YknnsBDDz0ElUpV6713330X7du3x2+//QYLCwtERUWhY8eO+OSTT/D+++83RfeITEJucTnWHk1FjEqN81nFUnkHTwdEKwMwKcQPHo62RuwhERER3YvyKg12nM5ErEqNfedzpHI3uTUmBfsjOox5WYiao0YPupcsWYL09HTExcVhwoQJtd7ftm0b5syZI02ZsbGxwbhx47Bt2zYG3dTsabQC+87nIFaVjN8TM1GpqZ5SZm8tw9ggH0SHKRAS4MYpZURERGbsbEYRYlTJOnlZAGBQJw9EKRUY3s2beVmImrFGDbpPnjyJd955BwcPHoRMVvsPSUlJCbKysuDv769TrlAocOnSpXrbLS8vR3l5ufS6sLDQcJ0magIpV0uwMj4FqxJSkJpfKpX38ndBlDIA43r5wMnO2og9JCIiontRXF6FTdfzshy7KS+LT01elj7+ULRiXhailqDRgu6SkhJERUXhww8/RPv27eusU1FRAQCQy3X/4Mjlcum9uixevBjz5883XGeJmkBFlRY7kzIRo1Jj77lsiOqb2nCxt8akYD9EKRXo6uNs3E4SERHRXavOy5KPWFUyNp24kZfFytICD3T1RlSYAoOZl4WoxWm0oPv333/HhQsXsGrVKqxatQoAoFKpYGlpibFjx+LHH39Eq1atIJPJkJeXp7Ntbm4uXF1d62173rx5eOmll6TXhYWFUCgUjXIcRPfqXGYRYlVqrDmairxrN75M6t/BHVFKBUZ2bw07a04pIyIiMlc1eVliVWqcuykvS3tPB0QrFZgU7A9PJ+ZlIWqpGi3o7tevH1avXq1TlpWVBRsbGzz77LNwcnKClZUVunfvjuPHj+vUO3bsGHr16lVv27a2trC15R8uMl3Xyquw+UQ6YuPVSLhyVSr3drbFtD4KRIYqEODOKWVERETmSqMV+N/5HMSq1NiRmCHlZbGztkRET19EhykQ2oZ5WYioEYNub29vjB07VqfsP//5D+zs7HTKH374YSxevBhz585F27Ztcfz4cWzfvh0//vhjY3WNqFEIIXBMnY9YlRobj6fh2vUpZTJLCwzt4oVopQJDOnvCSmZp5J4SERHR3UrNL61e6iteNy9LkL8LopQKjOvlC2fmZSGimxh98b85c+bg8OHDCAoKQs+ePXHs2DE8/vjjePDBB43dNSK9XL1WIU0pO5tZJJW3dZcjShmAKSF+8HK2u00LREREZMrqy8vibGeFScF+iFQq0N3XxbidJCKT1aRB99tvvw1LS927fNbW1oiNjcXZs2eRnJyMjh07ol27dk3ZLaIG02oF9l/IRYwqGTtOZ6JCowUA2FpZIqKnDyKVCvRt14pTyoiIiMxYfXlZ7mvvjugw5mUhIv00adCtVCrrfS8wMBCBgYFN2BuihksvKMXK+BTExauRcvXGlLLuvs6IViowvrcfXOw5pYyIiMhcXSuvwuaT6YhV6eZl8XKyxbRQf0SGKtDG3cGIPSQic2P06eVEpq5So8WupCzEqpLx19/Z0F6fUuZkZ4WJvauX+urhxyllRERE5koIgeMpBYhVJWPDMd28LPcHVudlCQ9kXhYiujsMuonqcSG7GHEqNVYfSUFO8Y0pZWHtWiFaqcDoHj6wt+GUMiIiInNVk5clLl6NMxk38rK0cZcjSqnA1BB/5mUhonvGoJvoJqUVGmw+mY44lRqHL99YP97D0RZT+/gjMtQf7T0djdhDIiIiuhdarcCBi7mIUamx/VSGTl6WMT19EBmqQL/2zMtCRIbDoJtaPCEETqUWIub6lLKi8ioAgKUFcH+gF6KUCtzfxQvWnFJGRERkttILSrEqPgVxCWqo827kZenm44wHw5iXhYgaD4NuarEKSiqx7lgqYlRqJKUXSuUBraqnlE0J8UdrF04pIyIiMlc1eVni4tX482yWTl6WCb19Ea0MYF4WImp0DLqpRdFqBQ5eykWsSo2tpzJQUVU9pczGyhKjurdGtFKBfu3dYWnJKWVERETm6mJ2MWLj1VidwLwsRGR8DLqpRcgsLMOqhOqlvq7klkjlXVo7IVqpwMRgP7jKbYzYQyIi85eYmIjBgwfDzs4OKSkpOu+dPn0aL730EhISEuDh4YFnn30WL7zwgnE6Ss1SaYUGW64v9cW8LERkShh0U7NVpdFi99lsxKqSsftsNjTX55Q52lphfG9fRIUqEOTvwkQpREQGUFpaiujoaAQHB0OlUum8l5eXh6FDhyIiIgLffvstjh8/junTp8Pa2hqzZs0yUo+pObhTXpZIpQJDmZeFiIyMQTc1O5dzrklTyrKKyqXy0DZuiFIqEBHkA7kNL30iIkN64YUXMHDgQHTu3LlW0P3jjz+ivLwc//nPf2BjY4O2bdti1qxZ+OCDDzBz5kx++UkNVlBSifXHUxFzWI3Em/KyKFrZIypUgal9FMzLQkQmg5EHNQtllRpsO5WBGFUyDl68MaXM3cEGU/r4IzJUgY5enFJGRNQYVq1ahT179iAhIQHfffddrff37duHgQMHwsbmxmM8w4cPx0cffYTk5GS0adOmKbtLZkoIgYMX8xCrSsbWUxkor8nLIrPEqB7My0JEpotBN5m102kFiFWpse5oKgrLqqeUWVgAQzp7IipUgWFdvWFjxSllRESN5fLly5g1axa2bdsGuVxeZ520tDT06NFDp8zLywsAkJ6eXmfQXV5ejvLyG7OVCgsLa9WhliGrsAwrE1KwMl6Ny7fkZYlSKjCxtx/cHJiXhYhMF4NuMjuFZZVYfywNcSo1TqYWSOV+rvaIDFVgaqg//FztjdhDIqKWQavVYvr06Xj55ZcRHBx827qWlpZ1vhZC1Fl/8eLFmD9/vmE6SmanSqPFn2ezEaNSY/fZLJ28LON6+SJaybwsRGQ+GHSTWRBCQHX5KmJUydhyMh1lldVTyqxlFhjRvTWiQhUY2NGDU8qIiJpQSUkJDhw4gOPHj+Pdd98FAFRWVqKiogKOjo74+uuv8cgjj8DLywvZ2dk629a8rrnjfat58+bhpZdekl4XFhZCoVA00pGQqbiSew2xKjVWMS8LETUj/KtFJi27qByrj6QgTqXGxZxrUnlnb0dEKQMwKdgPrTiljIjIKBwdHVFUVKRTtmTJEixatAgpKSmws6tOZHXffffh888/h0ajgUxWvTby7t274e3tjXbt2tXZtq2tLWxtbRv3AMgklFVqsP10BmIOq3HgYq5UzrwsRNRcMOgmk6PRCuz5OxsxqmTsSspC1fUpZXIbGcb38kWkUoFghSunlBERmQBHR91gqCZZ2s3ljz/+OD744AO88cYbePvtt3Hy5EksWbIEL730Uq1p59RyJKYVIlaVjHXH0lBQWgmAeVmIqHli0E0mQ51Xgrh4NVbGpyCjsEwqDw5wRbRSgYggXzja8pIlIjI3Pj4+2Lp1K/75z3/i448/hqOjI5599lnMmzfP2F2jJlZYVomNx9MQq1LjRArzshBRy2Ah6stgYkYKCwvh4uKCgoICODs7G7s71ADlVRrsOJ2JWJUa+87nSOVucmtMDvFHlFKBzt5ORuwhEVHDteRxqeaZbgcHh3rft7a2bnC7LfmcmjshBOKvXEXMYTU2n0yrlZclWqnAgA7My0JE5kffsYm3DckozmYUIUaVjLVHU5FfcmNK2cCOHohSKjC8mzdsrWRG7iURETWUtbX1bYPquwm4yTzlFJdjzZEUxKjUuJh9Iy9LJy9HRCkVmBziz7wsRNQiMOimJlNcXoVNx9MQo1LjmDpfKvdxscO0UAWm9fGHolXda7wSERGR6dNoBfacy0bsYTV2JmXq5GUZF+SLqDDmZSGilodBNzUqIQSOJF9FrEqNTSfSUVKhAQBYWVpgeDdvRCoVGNzJEzJOKSMiIjJb6rwSrIxXY2VCCtILdPOyRIUqMLYX87IQUcvFv37UKHKLy7H2aCpiVGqczyqWyjt4OkhTyjwcuRQMERGRuarJyxIXX52XpSZLkJvcGpOCq/OyBLZmXhYiIgbdZDAarcC+8zmIVSXj98RMVGqqR197axkignwQrVSgTxs3TikjIiIyY2czihCrUmPt0RRcvZ6XBQAGdWJeFiKiujDopnuWml9aPaUsPgWp+aVSeS9/F0QpAzCulw+c7Jg4h4iIyFzdNi9LH39MC1UwLwsRUT0YdNNdqajSYmdSJmJUauw9ly1NKXOxt8akYD9EhirQzZdLuhAREZmr6rws+YhTqbHxRJpOXpYHunojKox5WYiI9MGgmxrkfFb1lLLVR1KRd61CKu/fwR1RSgVGdm8NO2tOKSMiIjJXedcqsOZICmJVapy7KS9Le08HRIVW52XxdGJeFiIifTHopju6Vl6FzSfTEatSI+HKVanc29kW0/ooMC3UH23cHYzYQyIiIroXWikvixo7EjOkvCx21paI6OmL6DAFQpmXhYjorjDopjoJIXA8pQCxqmRsOJaGa9enlMksLXB/oBceDFNgSGdPWMksjdxTIiIiulv15WUJ8ndBZKgC43v7wpl5WYiI7gmDbtJx9VoF1h5NRVy8GmcyiqTytu5yRCkDMCXED17OdkbsIREREd2LmrwssSo19tyUl8XZzqo6L4tSge6+LsbtJBFRM8Kgm6DVCuy/kIvYeDW2n8pAhUYLALC1skRETx9EKhXo264Vp5QRERGZsZq8LGuOpCL3prws97V3R3QY87IQETUWBt0tWHpBKVbFpyA2Xo2UqzemlHX3dUa0UoHxvf3gYs8pZUREROaqpKIKm07Uzsvi5WSLaaH+iAxVMC8LEVEjY9DdwlRqtNiVlIVYVTL++jsb2utTypzsrDCxtx+ilAr08OOUMiIiInN1c16WjcfTUVxeBeBGXpZopQLhgczLQkTUVBh0txAXs4sRG6/G6oQU5BTfmFIW1q4VopUKjO7hA3sbTikjIiIyV1evVWDdsVTEqnTzsrRxlyNKqcDUEH/mZSEiMgIG3c1YaYUGW64v9XX4cp5U7uFoi6l9/BEZ6o/2no5G7CERERHdC61W4MDFXMSoaudlGdPTB5GhCvRrz7wsRETGxKC7mRFC4FRqIWKuL/VVdH1KmaUFEB7ohSilAkO7eMGaU8qIiIjMVk1elrgENdR5N/KydPNxRnSYAhN6+cFFzrwsRESmgEF3M1FQUilNKUtML5TKFa3sERWqwNQ+CrR24ZQyIiIic1WTlyUuXo0/z2bdyMtia4UJwb6IVgYwLwsRkQli0G3GtFqBg5dyEadSY8upDFRUVU8ps7GyxKjurRGtVKBfe3dYWnJKGRERkbm6kZclFTnF5VI587IQEZkHBt1mKLOwDKsSUhAXr8aV3BKpvEtrJ0QrFZgY7AdXuY0Re0hERET3gnlZiIiaDwbdZqJKo8Xus9mIVSVj99lsaK7PKXO0tcL43r6IClUgyN+FiVKIiIjMVE1eltj4ZKw/yrwsRETNBYNuE3c55xri4tVYlZCCrKIbU8pC27ghSqlARJAP5Db830hERGSuCkoqsf54KmIOMy8LEVFzxGjNBJVVarDtVAZiVMk4ePHGlDJ3BxtM6eOPyFAFOnpxShkREZG5EkLg4MU8xKqSsfVUBspr8rLILDGqR2tEKRW4j3lZiIiaBQbdJuR0WgFiVWqsO5qKwrLqKWUWFsDgTp6IViowrKs3bKw4pYyIiMhcZRWWYdWRFMSp1Lh8S16WKKUCE3v7wc2BeVmIiJoTBt1GVlhWiQ3H0hCrUuNkaoFU7udqj8hQBaaG+sPP1d6IPSQiIqJ7UaXR4s+z2YhRqbH7bJaUl8XBRobxvf0QrWReFiKi5oxBtxEIIaC6fBUxqmRsOZmOssrqKWXWMguMuL7U14AOHpxSRkREZMau5FbnZVkZXzsvS6RSgYiePnCw5UcxIqLmjn/pm1B2UTnWHElBrEqNiznXpPJOXo6IUiowOcQfrTiljIiIyGyVVWqw/XQGYg6rceBirlTeysEGU0L8EKVUoKOXkxF7SERETY1BdyPTaAX2/J2NGFUydiVloer6lDK5jQzjgnwRFaZAsMKVU8qIiIjMWGJaIeLi1Vh7NBUFpZUAmJeFiIiqMehuJOq8EqyMV2NlQgrSC8qk8uAAV0QrFYgI8oUjp5QRERGZraKySmw4Xp2X5UQK87IQEVHdGPUZUHmVBjtOZyJWpcb/LuRAVN/UhpvcGpND/BGlVKCzN6eUERERmSshBOKvXEWsSo3NJ9JRWqkBcD0vS7fqpb4GdPSAjHlZiIjoOgbdBnA2owgxqmSsPZqK/JIbU8oGdfJAlFKB4d28YWslM3IviYiI6G7lFFfnZYlRqXExu3ZelknBfnB3tDViD4mIyFQ1atBdVVWFX375BevXr0dOTg46d+6M2bNnIyQkRKqzdOlSfPXVVzrbOTk5Ye/evY3ZtXtWXF6FTcfTEKNS45g6Xyr3cbHDtFAFpvXxh6KV3HgdJCIionui0QrsOZeN2MNq7EzKrJWXJVKpQEgA87IQEdHtNWrQ/eqrr6KqqgpPPfUUnJ2dERMTg/79+2P//v1S4J2RkQGtVouff/5Z2k4mM827wkIIHEnOR6wqGZtOpKOkonpKmZWlBYZ380akUoHBnTw5pYyIiMiM1ZeXpbeiOi/L2F7My0JERPpr1BHj/fffh63tjalWgwYNwvr167F582adu91yuRy9e/duzK7ck9zicqw9mopYlRrnsoql8vaeDohWKjAp2B+eTpxSRkREZK7KqzT4PbE6L8u+8zfysrjKrTE5uDovS2Br5mUhIqKGa9Sg++aAGwCOHj2K7OxshIaG6pSfO3cOgwYNgp2dHcLCwvDqq6/C1dW1Mbt2R1qtwL7zOYhVqbEjMQOVmurR187aEmODfBGlVCC0jRunlBEREZmxsxlFiFWpsfZoCq5ez8sCAAM7VudlGdGdeVmIiOjeNPrcqAsXLmDKlCm4du0a0tLS8O2332L06NHS+zY2NnjyyScxatQo5OfnY9GiRfjtt99w/PhxODnV/Y1yeXk5ysvLpdeFhYUG629qfmn1lLL4FKTml0rlQf4uiFIqMK6XL5ztrA22PyIiImpa9eVlae1sh8hQf0wLVTAvCxERGYyFEDUTqBpHWVkZzpw5g/z8fMTFxeHXX3/Frl270KdPHwBAZWUlrK1vBLFXr15F+/bt8frrr+O1116rs8133nkH8+fPr1VeUFAAZ2fnBvexokqLnUmZiFGpsfdctjSlzNnOCpND/BEZqkA334a3S0RELVNhYSFcXFzuelyi2u71nNbkZYlTqbHxRJpOXpZhXb0QrQzA4M7My0JERPrTd2xq9KD7VuHh4fD09MTKlStvW8ff3x/Lly+v8/267nQrFIoGD8TnMqunlK05moq8axVS+X3t3REdpsDI7q1hZ80pZURE1DAMug3vbs9p3rUKrDmSUjsvi4cDopQKTA5hXhYiIro7+o5NTZ5609PTE1evXr1tnbS0NHTt2rXe921tbWs9L66vkooqbDqRjliVGglXbvTDy8kW00L9Ma2PAm09HO6qbSIiIjK+2+VlGdPTB1GhCoS1a8W8LERE1CQaNeieP38+XnjhBbi4uAAAdu/ejS1btmDhwoU6debMmQM3NzdotVosWrQI58+fxw8//GCwfgghcDylALEqNTYeT0NxeRUAQGZpgfsDvRCtVCA80BNWMkuD7ZOIiIiaVlp+KVbGpyAuXq2Tl6WnX3VelvG9mZeFiIiaXqMG3V5eXujWrRvs7OxQWlqKsrIyzJs3D3PmzJHqtG7dGj169ICdnR2uXr0KZ2dnrFy5EoMGDbrn/eeXVEhLfZ3JKJLK27rLEalUYGqIP7yc7e55P0RERGQcFVVa7Lqel2XPLXlZJgX7IVKpQHdfF+N2koiIWrRGf6ZbCIErV67A2toaPj4+sLSsfTe5po5cLoeXl1eD93HzXHpHRyccuJiLGJUa209noKJKCwCwtbo+pUypQF9OKSMiokbEZ7oN79Zzej7rel6WI6nIZV4WIiIyApN5ptvCwgJt27a95zr6+PavC9iQdBXqvBtTyrr5OOPBMAXG9/aDiz2nlBEREZmztUdSsDEpH/G35GWZ2qd6tRHmZSEiIlPT5InUGtOXf5yHpa0cTnZWmNDbF9HKAPTw45QyIiKi5uJf60/D0lbOvCxERGQ2mlXQ3aeNGx4a3AWje/jA3oZTyoiIiJobRSt7zBgUyLwsRERkNppV0P3fx8P47BwREZERaDQapKamwsvLC3Z2usFwWVkZLl++XGubtm3b1qp7J1vmDJJWRSEiIjIHzSroJiIioqaVlZWFt99+G7/99htcXFyQmZmJsWPHYunSpXB1dQUAHDt2DPfddx86d+6sk8h09erV6N69e4P2x0SoRERkbvgAFBEREd21kydPYsCAAcjMzMSVK1dw6dIlHD9+HC+//HKtugkJCThz5oz009CAm4iIyBzxTjcRERHdtWHDhum89vHxwaBBg3D+/PladfPy8pCfnw8/Pz/esSYiohaDQTcRERHds/Pnz6O0tBQJCQlYv349vv/++1p1evToARsbG1RWVuK1117DvHnzGHwTEVGzx6CbiIiI7tljjz0GtVqNlJQUPPbYYxg9erT0nrOzM+Li4jBlyhRYWlpiy5YtmDRpEpycnPDcc8/V2V55eTnKy8ul14WFhY1+DERERI2Bz3QTERHRPdu7dy8uX76MS5cu4fDhw3jooYek97p164Zp06bB0rL6Y8eYMWPw6KOPYtmyZfW2t3jxYri4uEg/CoWi0Y+BiIioMTSLO91CCAD8FpyIiExDzXhUMz61JAqFArNnz8bMmTOh0Wggk8nqrBcQEIDVq1fX2868efPw0ksvSa8LCgoQEBDAsZ6IiEyGvuN9swi6c3NzAYDfghMRkUkpKipq9mtKV1ZWwtraWqcsLS0NDg4OUsBdV509e/agc+fO9bZra2sLW1tb6XVOTg4AjvVERGR67jTeN4ugu1WrVgCA5OTke/5wo1QqoVKp7rlPhmrHUG0VFhZCoVBArVbD2dnZJPpkiu0Y8jyZ2jVgqHZ4LemH19KdNedrSQiBPn36wNfX9577Y+qee+45+Pn5YciQIbC3t8eePXvwwQcf4I033pDqPP/88/Dy8sLQoUNhaWmJn3/+Gbt27cLmzZv13o8pjvWGbKs5/+0xtfNtiufIkG3xWmq6tkzxHBmyLV5Ld6bveN8sgu6aZ8RcXFzu+X+kTCYzyIc/Q7Vj6LacnZ1N6vhMrZ0ahjhPpngN8FpqunZq8Fq6s+Z6LdnY2EjjU3P26aef4quvvsI777yD4uJitGvXDqtWrcKYMWOkOp988gm+/PJLvPPOOygtLUXXrl1x7Ngx9OjRQ+/9mOJYb8i2mvPfHlM834BpnSNDtsVrqenbMqVzZMi2eC3pR5/xvlkE3YY0a9Ysk2rH0G0Ziqmdp+Z8jgzZVnM+T6bWjiHxWtKPqR2bKZ6jxiCXyzF37lzMnTu33jr29vZ3rNOU+DulH1M8NlM7T6Z4bKZ2jgDTPDZTO0+meGymdo4A0zw2fdqyEM0gy0thYSFcXFxQUFBg0G9jmhOeI/3wPN0Zz5F+eJ7ujOeIGoLXi354nu6M50g/PE93xnOkH56nZrJkmK2tLd5++22dhCuki+dIPzxPd8ZzpB+epzvjOaKG4PWiH56nO+M50g/P053xHOmH56mZ3OkmIiIiIiIiMkXN4k43ERERERERkSli0E1ERERERETUSEwqe3laWhqcnZ3h6OhYb53c3Fxcu3YNCoUCFhYWDa6TnJyMkpISnTJnZ2ezWUu1tLQUeXl58PHxqTc1fVVVFVJSUtCqVat6kxXoUweoXui9sLAQfn5+Bul/U0lPT4ejoyOcnJzqrZOXl4eioiIoFIp6z2V9dTQaDc6dO1fnNl5eXtJ6sqasvLwc2dnZ8PX1rff4NRoNUlJS4OLiAldX17uuU1lZifT0dDg7O9dbx1RlZGRALpff9vckPz8fBQUF8Pf3h0wmu+s6eXl5KCkpgb+/v0H63lQqKiqQlZUFHx+feo9Nq9VK63O6ubnV29aFCxdgb29f799kfdsh03X16lVUVVXB09Oz3jolJSXIzMyEr69vvc8A3q5Obm4usrOzdcpkMhk6dep07wfQBLRaLVJTU+Ht7Q0bG5t666WmpkImk6F169b3VKeyshJpaWnw8/ODlZVJfTS8rfz8fFRUVMDLy6veOqWlpcjIyICPjw/s7OwaXOfy5csoKyurtY1cLkdAQMC9HUATqLmWvLy8bvs8bXp6OgDAx8fnrusIIZCZmQkA8Pb2rvdzuikqLCxEaWkpvL29661TVlaG9PR0tG7dGvb29nddp7S0FJmZmfDz84O1tbVB+t8UhBBITU2Fh4dHvb9LQPXnJo1Gc9vYIT09HcXFxbf9m6xPO2ZFGFlJSYl49913hbe3t/D19RVyuVwMHjxYnD17Vqfe1atXxejRo4WNjY1wc3MTbdq0EXv27GlwnQEDBgh3d3cRGBgo/bz00kuNfpz36tChQ2LkyJHC0dFR+Pr6CmdnZ7Fo0aJa9eLi4oS7u7vw8PAQ1tbW4tFHHxUVFRUNrpOZmSkmTZok5HK5aNu2rejevbs4dOhQox7jvSorKxOLFi0SPj4+wsfHRzg4OIj+/fuL06dP69QrLCwU48ePFzY2NqJVq1bC399f7Nq1q0F1srOzda6hwMBAERAQIACIb7/9tkmO924dOXJEjB07Vjg4OAg/Pz/h6Ogo3nrrrVr1NmzYILy9vYW7u7uwtrYW0dHRorS0tEF1tFqteOWVV4RcLhcKhUI4OjqKkJAQcfz48UY/zntRUVEhPv74Y+Hv7y+8vb2Fo6OjUCqV4ujRozr1SkpKxLRp04S1tbVwd3cXrVu3Fps3b25wnQMHDoiePXsKFxcX4enpKTp27CgOHDjQ2Id5z06cOCEmTpwoHBwchL+/v3BwcBCvv/660Gq1OvW2bt0qfH19petkypQp4tq1a9L7ZWVl4ssvvxTdunUTtra2YsqUKXXu707tkGmLiYkRQUFBws3NTbi7u4s2bdqIdevW1ar3xhtvCDs7O+Hl5SUcHBzEp59+2uA6CxYsEHZ2djp/o5VKZaMdm6GkpaWJf/7zn8LJyUn4+/sLW1tb8eCDD4r8/HydeklJSSIoKEg4OjoKuVwuwsLCxKVLlxpcR6PRiP/7v/8Tzs7OIiAgQPj6+orvvvuukY/y3q1evVoEBwcLV1dX4eHhIRQKhVi5cmWtevPnzxf29vbCy8tLyOVysXjx4gbXmThxYq3x3sLCQkyaNKnRjs8QMjMzxXPPPSecnZ2la2natGkiNzdXp965c+dESEiIcHBwEA4ODiIkJEScO3euwXVWrFghfHx8hJeXl/Dy8hI+Pj7i119/bfTjvFcbNmwQoaGhwsXFRXh5eQlfX986+/3+++8LuVwuvLy8hL29vZg/f36D62RkZIjx48cLe3t74e/vL9zc3MR//vOfRjs2Q8nJyREvvviicHV1la6lSZMmiczMTJ16ly5dEmFhYUIulwtHR0cRFBQkkpKSdOps2LBBjBgxQtjb2wsXF5c696dPO+bI6EH32bNnxb/+9S+RlZUlhBCiqKhIREREiMDAQJ16UVFRomfPniIvL09oNBrx8ssvCzc3N5GXl9egOgMGDBBvv/12kxybIX300Udix44doqqqSgghxM6dO4WNjY345ZdfpDpJSUnCyspKfPPNN0IIIS5cuCC8vb3Fm2++2aA65eXlonfv3mLo0KEiJydHCCHE+fPnxbJlyxr7MO/JpUuXxLx580R6eroQQohr166JSZMmiXbt2gmNRiPVe+SRR0SXLl1EVlaW0Gq14o033hDOzs7SNahvnVt9+OGHwtbWttaAZmq++OILsWnTJlFZWSmEEGLfvn3C3t5euiaEqD6XdnZ24uOPPxZCCKFWq4VCoRAvvPBCg+qsWLFCWFlZSV/YlJaWirFjx4qgoKBGP857kZmZKV5++WWRkpIihKju94wZM4Svr68oKyuT6s2aNUu0a9dOpKamCq1WKxYtWiTs7e2FWq3Wu05BQYHw9PQUzz77rPT7/fHHHwt3d3edv12m6Ouvvxbr1q2TrqXDhw8LR0dH8dlnn0l1UlNThVwuF++9957QarUiLS1NtGvXTjz77LNSnUuXLolZs2aJkydPigkTJtQZdOvTDpm2559/Xpw4cUIIUf2F3Pvvvy9sbGzEmTNnpDrLli0TcrlcHDx4UAghxObNm4VMJhPbtm1rUJ0FCxaIvn37NsVhGdSmTZvEkiVLpC+T1Gq1CAwMFDNmzJDqVFZWisDAQDF16lRRUVEhSktLxfDhw3W+VNCnjhBCvPTSS8Lb21v6QrG4uLjOwNTUvPTSSzpfgn722WfCyspKur6EEOK3334TdnZ2Yu/evUIIIX7//XdhbW2t80WPPnVudeLECQFArF692sBHZVg7duwQX375pSgqKhJCVH+h06NHD52/rxqNRgQFBYnx48eL8vJyUV5eLiIiIkRQUJD05ak+dVJTU4VMJhMffvih1Pb7778vZDKZSEtLa8Kjbri5c+eK+Ph46fU333wjZDKZTtnatWuFtbW1dPPlr7/+Era2tiImJqZBdSIiIkSfPn2kz9YHDhwQ9vb2tW78mJrdu3eLzz77TBQWFgohqj8jBQcHi4iICJ16oaGhYuTIkaKsrExUVFSIyZMniy5dukifbYQQ4tlnnxVbt24V//73v+sNuvVpxxwZPeiuy44dOwQA6UNpTk6OkMlkYsWKFVKdwsJCYWdnJ31DpE8dIaqD7v/7v/8TFy9eFCUlJU10RI1j8ODB4pFHHpFev/LKK6J9+/Y6dd566y3h5eUl/WHUp85///tfIZPJRHJycuMeQBPYs2ePACB9I1tQUCBsbGzEDz/8INUpKSkRjo6O4vPPP9e7Tl26dOkipk+f3khH0rjGjBmjMxC/8847wtvbW+fLig8//FA4OztLsyL0qbNo0SLh6+urs68vvvii3j+0puzIkSMCgPRBr6ysTDg4OIgvvvhCqlNZWSnc3d3Fe++9p3edXbt2CQDi8uXLUh2tVlvrixBzMXnyZJ2B+P333xetWrWSAnMhhPj3v/8t5HJ5nX+D6wu6G9oOmb6qqiphbW0tvv/+e6msX79+4qGHHtKpN3ToUDFx4sQG1akJulNSUqQPuOZq0aJFwtvbW3q9c+dOAUBnRuD+/fsFAClQ0KdOamqqsLKyEj/++GMTHUnjcnBwEF9++aX0Ojw8XEybNk2nzpgxY8SoUaMaVOdWzz//vPD29q41Q9AcfPrppzrj7759+wQAndlnNWPdvn379K5z+PBhAUAkJiZKdU6fPi0ACJVK1chHZXitWrUSH330kfR61KhRYty4cTp1Jk+eLMLDw/WuU1lZKWxsbMTSpUt16owdO7be2V2mbMmSJcLOzk6KHeLj4wUAnVmxiYmJAoDYuXNnre2//PLLOj8LNrQdc2KSidQSExNhY2MjPe919OhRaDQa9OvXT6rj5OSEHj16ICEhQe86NRYtWoRBgwbBxcUFw4YNq/fZXFNWUVGBCxcu6Dz7qVKp0LdvX516/fv3R1ZWFtRqtd51tm3bhj59+kChUCA9PR15eXmNfDSNJzExUedZthMnTqCiokLnOrG3t0fv3r2l60SfOrf63//+hzNnzuCpp55qxKNpHBqNBn///XetayksLEznWe/+/fujsLBQ+n3Rp86MGTNgaWmJt956C0ePHsWWLVvw5Zdf4o033miiozOcxMREWFhYSM8WJSUl4dq1azrXiZWVFZRKpXSd6FOnJofFzb9nxcXFqKiowOHDhxv9uAxJq9XizJkzta6lPn366Dwn2r9/f5SUlCApKUnvtg3VDpmO8+fPo7KyUrpetFotjhw5ovP7AlT/f675fdGnTo1Dhw4hJCQEAQEB6NChAzZt2tSIR9N4EhMTa/1Oubm5oXPnzlJZ3759IZPJpHOgT52dO3eiqqoKEyZMQEFBAVJTUyHMdBXZy5cv18qHER8ff8frRJ86N6uoqMDy5cvx6KOPmtWzuDXqupbs7e0RFBQklQUHB8Pe3l7nWrpTnT59+mD48OF47bXXcPDgQRw4cABz587FqFGjEBIS0kRHZxipqakoLCysdZ7quk7i4+P1rmNlZQU7O7tan6lzc3PNbqwHqq8lPz8/6bl9lUoFmUwGpVIp1enatStcXV3r/X2qi6HaMUUmF3RfvHgR8+fPx/PPPy8lfMjNzQUAeHh46NT18PBATk6O3nUA4MEHH0RGRgZSUlKQlpYGS0tLjBs3rs4kGabsjTfeQHFxMZ555hmpLDc3t87jB6Bznu5UJzU1FW5ubnjggQcQEhKCtm3bomfPnlCpVI12PI1BrVbjX//6F2bOnCkFNoa8lm72ww8/oFOnThgyZIhBj6EpLFiwAGlpaZg1a5ZUZqhrKSAgAO+99x4+++wzjBs3DtOmTUPnzp3x+OOPN9rxNIaMjAy89tprePTRR6UvAw11LYWEhKBPnz546qmnsGvXLuzfvx8PPvggbG1t673eTNWHH36IixcvYs6cOVKZPteJPgzVDpmGyspKPPXUUwgODsbw4cMBVCfurKiouO3viz51AKB79+44cuQIMjMzUVBQgOnTp2Py5Mk4fvx4Ix+ZYe3YsQO//vor5s6dK5XV9btgaWkJNze32/59vrVOamoqWrVqhcWLF6Ndu3YIDQ2Fh4cHli5d2shHZVgajQZPPvkkunXrhjFjxgCoThRaXFxc53WSm5sLIYRedW61bt065OXl4cknn2y8A2okf/75J5YtW3bHawkA3N3db3st3VrH0tISixcvRmJiIsaOHYvx48fjzJkzWLhwYb2JWk2RVqvFU089hfbt22PixIkAqpOH5eXl1Xmd1HxBrk8dAHjyySfxwQcf4Ndff8WRI0fw5ptv4vjx42Y3hu3fvx/ffvttrWupVatWtZLn3e6zc10M1Y4pMqnfhPT0dIwaNQr9+vXDwoULpfKabLg1F22N8vJy6a6HPnUAYNasWVKWSw8PDyxZsgRnz57F/v37DX9AjeTzzz/HV199hdjYWCgUCqlcJpPVefwAdM7TnepYWlpi+/bt+Mc//oH09HTk5OQgODgYEydONJsvJ7KzszFy5EgEBQXho48+ksoNeS3VKCoqQlxcHJ588kmzytQJAN9//z0WLVqEFStW6GSQNNS19PPPP2PmzJnYtWsXUlJSkJOTA7lcjgceeAAajabRjsuQrl69itGjR6Nt27b46quvpHJDXUtWVlbYvn07wsPD8a9//QsvvfQSxo0bh/vuu++2WYtNzc8//4y33noL//3vf9GtWzepXJ/rRB+GaoeMT6PR4KGHHsKlS5ewZs0a6ffEkH+fJ02ahODgYADV18e7776LgIAArFixonEOqhEcPnwYU6dOxdy5cxEZGSmV1/W7ANQ+T3eqY2lpiby8PGRmZiIjIwPp6en45JNP8PTTT+PQoUONdFSGpdVq8dhjj+H06dNYt26d9DfzdteJpaUlLCws9Kpzq6VLlyI8PBwdO3ZsjMNpNEePHsWkSZPw3HPP4eGHH5bKDXUtnT9/HoMGDcLs2bORk5OD7OxszJ49G4MGDcLFixcb6agMSwiBZ555BvHx8Vi3bp2UnbvmWqlv/JHJZHrVAYAPPvgAb7/9Nn788Uc88cQTuHbtGl555RWzGutPnTqF8ePH44knnsDTTz8tletznejDUO2YIpMJujMyMjB06FC0b98ea9eu1Zm2UxNY1ixVcPM2NdM/9KlTl5rtkpOT7/0gmsBXX32F119/HatXr8bIkSN13quZDn6zjIwMANA5T/rUad26NR599FEAgI2NDV5++WWkpaUhMTHR4MdkaNnZ2Rg6dChat26NDRs26CyR0RjXUkxMDCoqKvDII48Y9Dga248//ojZs2fj119/lb7RrWGoaykmJgYjRoxAWFgYgOpp+q+88gqOHz9uFtdSfn4+RowYAXt7e2zduhVyuVx6z5DXkru7Oz7++GPs378fBw8exFNPPYUTJ06ga9eujXJchrZixQo8+eSTWLZsmU5wAOh3nejDUO2QcWk0Gjz88MPYt28fdu/ejbZt20rvOTo6wtXV9ba/L/rUqYuFhQUUCoXZjPXx8fEYOXIknn76aSxevFjnPYVCgezsbJ0vLq9du4aioiKdvz361AGAl19+WfrQ/+ijj8Lb2xu7du1q1OMzBCEEnnzySfz+++/YvXu3TiBsZWWF1q1b13md1By3PnVuduXKFezatcvsHiM7fvw4hg8fjn/84x/47LPPdN5TKBTIzc1FZWWlVFZRUYG8vDyd6+ROdTZs2ACZTIYXXnhBqvPCCy/A0tIS69evb8SjMwwhBGbOnIl169Zh165dtcZef3//Oq+Tm5fJ1KeOlZUVnnvuOezcuRNHjx7FZ599hrNnz5rNWJ+YmIhhw4Zh8uTJWLJkic57CoUCBQUFOssyazQa5OTkNHisN0Q7psgkgu7MzEwMHToUAQEBWLduXa11BIODg+Hi4oJt27ZJZZcuXUJSUhLCw8P1rlNVVVVr33v37gUAneeeTNXXX3+NV155BatWrUJERESt98PDw/Hnn3/q3I3evHkzevbsKa0brU+dYcOG4dq1a9I3dMCNabIuLi6NcmyGkpOTg2HDhsHT0xObNm3SCZIAoEePHvDw8NC5TtLS0nD8+HHpOtGnzs1++OEHjB8//rZrO5qan376Cf/85z+xfPlyTJ06tdb74eHh2L9/PwoLC6WyzZs3o3379tK6pPrUcXV1la6dGjXTg0x9ve6CggKMGDECVlZW2LZtW60132uO8+brJC8vDwcPHpSuE33qALX/Nm3YsAG5ubmIjo42/IEZ2G+//YbHH38cP/74I2bMmFHr/fDwcKhUKp3n2DZv3gw/P78GrZlsqHbIeLRaLR555BH89ddftYKkGuHh4Tq/L0IIbNmyRef3RZ86NwcIQPXv84kTJ8xirE9ISMDw4cPx+OOP4+OPP671fnh4OEpKSrBnzx6pbMuWLbC0tMTgwYMbVKfmbneNminXpj7W1wTcW7ZswR9//IEuXbrUqnPrdQLgjtdSXXVqLFu2DK6urpg8ebJBjqEpnDhxAsOGDUN0dDS+/PLLWu+Hh4ejqqoKO3fulMq2b98OjUYjPS6nTx1XV1eUl5fj2rVrUp3i4mKUl5eb/FgPALNnz8aqVauwa9cu9OzZs9b7dV0nmzdvvuO1dGudW8f6jIwMbNq0CdOnT7/3g2hkSUlJGDp0KMaPH49vv/221kyQIUOGwMLCAtu3b5fK/vjjD5SWltb5+1QfQ7VjkoyUwE2Sm5srunfvLnr06CGOHj0qkpKSpJ+b1/v96KOPhKOjo1i+fLnYvXu36Nu3rwgLC9PJnHynOsePHxfDhg0Tq1atEgkJCeKnn34SPj4+t81SaSqWLl0qLCwsxMcff6xzjm7OMF5QUCAUCoWYOHGi2Ldvn/j888+FTCYTa9asaVCd8vJy0bNnTxEZGSkOHjwotm3bJrp16ybGjBnTpMfcUAUFBaJXr16iS5cuIiEhQec83byW75dffinkcrn46aefxF9//SUGDhwoevfurZMVWZ86Qghx6tQpAUBnqRpT9+uvvwpLS0vx7rvv6pyjm7Nnl5SUiI4dO4pRo0aJvXv3iiVLlghra2udJer0qbNz505hYWEh3njjDREfHy/Wr18vOnbsKEaMGNGkx9xQ165dE3379hXt2rUThw4d0jlPxcXFUr0ff/xR2NjYiG+//Vbs2bNHPPDAAyIwMFBnWTF96syaNUt888034siRI2Lp0qXCzc2tzrXTTc3q1auFTCYTb775ps45unkt4LKyMtGtWzcxbNgwsWfPHvH9998LGxsbnYzVQlQvH5mUlCSGDRsmRowYIZKSknTWgdW3HTJdjz76qHB0dBQbN27UuV6ys7OlOvHx8cLGxkbMmzdP7N+/XzzzzDPC2dlZXLhwoUF1+vfvL7799ltx+PBhsWXLFtG/f3/h4+MjLSlpqk6ePCnc3NzExIkTdc7RrWvURkVFiQ4dOoitW7eKDRs2CB8fH/HMM880uM6cOXNE9+7dxbZt28TBgwdFZGSk8Pb2rrX+rql59tlnhb29vVizZo3OObp5Wc8TJ04IOzs78fLLL4v9+/eL2bNnCwcHB50l6vSpI0T1sllt2rTRWRLT1CUlJQlPT08xZsyYWtdSTcZpIaqXSG3Tpo3YvHmz2Lx5s1AoFDor4+hTJysrS3h7e4uIiAixb98+sXfvXjFmzBjh7e1926VWTcELL7wgbG1tRVxcnM45uvl3ICkpSTg4OIg5c+aI/fv3i5deeknY29vrLFGnT51ly5aJuXPnioMHD4rNmzeLXr16iSFDhtT6bGlqzp8/L1q3bi0eeOABkZiYqHOebl7G65lnnhF+fn5iw4YNYuvWraJ9+/YiKipKp62UlBSRlJQk3nzzTeHk5CS1c/NnIn3aMUdGD7oPHTokAgMD6/w5duyYTt1vv/1WCn6ee+65OtdDvlOdffv2iejoaBESEiIiIiLEN998Yxbrvj322GN1nqPHHntMp97ly5fFww8/LIKCgsSwYcN0gumG1MnOzhazZ88WwcHBYsiQIWLBggU6gaspOnbsWL3X0s1LDwghxA8//CAGDx4sevfuLf75z3/WOSjoU+fTTz8VAwcO1Pnyx9TNmjWrznN06x+01NRU8cQTT4hevXqJ+++/X/z222+12tKnzu7du8XUqVNFcHCwCA8PF/Pnz5fWDTVVf//9d73X0u7du3XqrlixQoSHh4tevXqJJ598ss41Se9U5+rVq2LOnDkiODhYjB49WsTFxTXm4RnMSy+9VOc5unnpJiGEyMjIEE8//bT0AePnn3+u1VZISEitdvr169fgdsh0BQUF1Xm93LzMkxBC7N27V4wdO1YEBQWJKVOm1PosoE8dtVot5syZI/r27Svuv/9+8dprr5nF0mE//vhjvX97bv6sUlpaKt566y0RGhoqwsLCxMKFC2stYaVPnaqqKvHJJ5+I/v37C6VSKZ5++mmdL81MlVKprPMcffLJJzr1Dhw4IMaPHy969uwpJk6cWOfyVfrUUalUIjAwUJw+fbrRjsnQli9fXu+1dPPnufLycjF//nyhVCqFUqkU8+fPF+Xl5Tpt6VPn4sWL4plnnhF9+/YV/fr1E88884y4ePFikxzrvRg4cGCd52jRokU69VQqlZg4caLo2bOnGD9+vDhw4ECttu5UR6PRiM8++0zcd999YsCAAeL999/XucFoqlauXFnvtXT16lWpXkVFhVi4cKEICwsToaGh4q233qp1fPV9Br35i0V92jFHFkKY6foQRERERERERCbOvNPA1UEIgd27dyMtLQ3Tpk2r9Xy4MfebnJyMY8eOwcXFBaGhoXBwcLinfe7YsQNZWVk6ZW3btsXAgQNvu11mZiaOHj2KiooKDBw4UHqWG6hOtLJ27do6twsNDdV5bionJwcJCQkoKSlBYGCgTsbiGvocc1lZGfbs2YPi4mL07dtXWgf5ZjXrGFpYWKBXr17w8fG5q33pU+d256cxGevaJSIyR6dPn8bRo0cxYMAAtGvXzmT2m5+fj/j4eFRWVqJXr17w9fU1yH6Liorwv//9DxYWFhg4cOAdP0OUl5dDpVIhJycHnTt3rnOMFkJApVLhypUr6NSpE3r37n1X7ZSWlkKlUiE7OxtBQUG18iycOnUKx44d0ymzsbGplXixxtWrV7F582a0adMGgwYNalCf9dnXxo0bUVBQUGu/vr6+GDp0aJ19MiRjXbtEZERGvMtucD/88IPo2LGjCAwMFAB0nhMz5n5zcnLE+PHjRdu2bcX48eNFcHCw8PLyEjt27LhtuytWrBAFBQX1vj9gwADRs2dPMWPGDOnnq6++um2b//73v4VcLhcPPPCAeOCBB4Szs7NYu3at9H52drZOezNmzBBDhgwRAHSmoX///fdCLpeLIUOGiIkTJwpnZ2cxadIkaeqavsd89uxZERAQILp16yaGDh0q5HK5+O6773TqvPbaa6JNmzZi7Nix4v777xf29vZi/vz5DTq/+vbnTuensRjr2iUiMjeHDh0SgwcPFl26dBEAdPJIGHu/8+bNE35+flJuAnt7e7FgwYLbtrt79+5az2zfasWKFcLFxUUMGDBATJw4UXTv3l2cPHmy3vqrV68WHTt2FOHh4WL8+PHC1dVVjB49WpSUlEh1SktLxciRI4WXl5cYM2aMcHNzE9OnT9d5XEqfdvbv3y/8/f1Fr169xIQJE4Sbm5t4+eWXdfqzYMEC4eHhofPZ4umnn663/xMmTBC2trZiypQpOuX69Fmffb366qs67z/44IMCwG37ZAjGunaJyPiaVdD93//+V5w7d05s3br1toFLcXGx2L59u1i3bp1Bnje5037VarVYv369TtmcOXNEq1atbvs8uUwmu+1APGDAAPH222/r3c8zZ84IS0tL8euvv0plK1asEM7OznU+H39zX728vKSAurKyUsjlcvHee+9Jdc6ePSsAiNWrVwsh9D/mQYMGiVGjRkkD5nfffSdsbGx0knrFxsbqJJmIjY0VAMT58+f13pc+dRpyfpr6GiIiomp//PGHlFvhdoGLRqMRBw4cECtXrhQJCQk6yaMaa78//vijzvOymzdvFgDqfP6zRkREhPjss8/qff/gwYPC0tJS/PTTT1JZSkpKnc+619i6davIy8uTXqelpQm5XK7zxfzChQuFt7e3lGPizJkzQi6Xix9//LFB7bRv3148/PDD0uvLly8LJycnsXHjRqlswYIFom/fvvX292b//ve/xbBhw8SYMWNqBd369Lkh+6qxZcsWAaBW/hdjXENE1Dw1q6C7xu0Cl127dglPT08xcOBAMX78eOHm5iZef/31Rt9vXf0AIK5cuVJvHX2C7scee0zExcWJvXv36mRVrsvy5csFAJ0MgaWlpQKA+OGHH+rcpqysTLRq1UrMnTtXp8zW1lb897//lcqKi4uFlZWViI2NrXf/tx5zcnKyACC2bNki1amoqBBubm7io48+qred+Ph4AUAnI+Sd9qVPHX3Pj6lcQ0RELV19gUtaWpro06ePCAwMFJMmTRLt27cX4eHhorCwsFH3W5ea1Qvqc6ege/LkyQ0OIm9VVVUlvL29xYcffiiVdevWTcyZM0en3pQpU8SwYcP0bicnJ0cAEOvWrdOpFx4eLqZNmya9XrBggejRo4dYt26d2LZtW71Z5I8ePSp8fHxESkqKiIiIqBV069Nnffd1axtBQUE6ZaZ0DRGR+TOJdbqbSn5+PqZOnYolS5Zg7969WL9+PY4ePYolS5bgjz/+aNK+7NixA25ubve80Pvu3buxYsUKPP744+jUqRN+//33euvWPCudlJQkldX8+8SJE3Vus27dOly9ehVPPvmkVGZra4uvv/4a7733Hj788EN8++23iIiIwJQpU267fuWtx3zy5EkA1eti17C2tkZgYKD03s39XL58OT799FM8/PDDePnll+tcS7G+felTR5/zY0rXEBER1e3xxx9HcHAwkpKSsGbNGpw5cwYajQbvvfdek/bjzz//REVFxW3HqzvZs2cPRowYgdTUVKxevRp79+5FWVnZHbcrKCjA8uXL8e2332Ls2LHo2rUrnnrqKQDV65ifOXNGZ/wFgJ49e9Yaf2/XjpubG+Ryuc64WVFRgQsXLtT6XJGSkoLvvvsO7777Ltq2bYtFixbpvH/t2jVpPem6crs0pM932tfNsrOzsWHDBjz99NM65aZyDRFR89DsEqndzvr161FRUYGqqir89ttvAKoTcgQEBODPP/+Ukmds3boVubm59bYjk8nw4IMP3nU//vzzT3z66af46quvYGl543uPW/crhMDGjRsRHx9f537feecdDBs2DBYWFtBqtZg9ezYefPBB/P3333Um/xo8eDCGDRuGiRMn4vnnn4cQAkuXLoWnp2edCUUAYOnSpQgPD6+VFKVDhw6wt7fHxo0b4ebmhsuXL2PUqFGQyWR6H3PNPt3c3HTqtmrVqlZ/Ll26hK1btyI1NRVFRUXo2rVrnfupb1/61NHn/JjKNURERHXLzMzEtm3b8N577yE2NhaielYfFAoFdu/eLdU7fvx4rWDtVsOHD4e3t/dd9SMnJwePP/44Jk2ahPvuu6/e/aampiIhIQHLly+vtV8hBHJzc5GQkICBAweid+/eOHPmDEpKSrBhwwb06tWr3v0XFRVh27ZtyM/Px5EjRxAdHQ17e3sAQHFxMbRarV7j7+3asbS0xNtvv4133nkH+fn5aNeuHeLi4mBpaanTzgMPPIDnn38eTk5OAIC1a9di8uTJ6NOnD0aOHAkAmDVrFvr3748pU6bUeTz69lmffd3s559/hpWVFWbMmCGVmco1RETNR4sKui9fvgwrKyts2rRJp7xXr1462SMPHDiAixcv1tuOjY3NXQdMKpUKEyZMwIsvvljrW9Vb9yuEwN69e+Hs7Fznfh944AHp3zUD3zfffIMDBw4gIiKi1r4tLS2xbds2LF++HPHx8ZDJZPjtt98QHR0NR0fHWvWvXLmCXbt2YcWKFTrlWVlZiIiIwOLFizFnzhwAwMWLFxEUFARvb2889thjeh3zzYP/zfsvKiqq9S33mDFjMGbMGADA9u3bMWrUKHTp0gUDBgzQa1/61NHn/JjCNURERPW7fPkyACAhIUHnDqyFhYXOmHHu3Dls27bttm316dPnrgKm/Px8jBw5Ej4+Pvj555913rt1v9nZ2UhKSoK4aQXXmv1aWFjAxsYGx44dw6lTp+Dm5gatVovx48fjmWeewcGDB+vtg7+/vxTIZ2RkICQkBM7OzliwYAHs7OwAVI+/NysqKpLGZn3aAYC5c+dCqVRiy5YtSEhIwKxZs7B3716dcbJfv346bU6aNAm9e/fGpk2bMHLkSOzZswe//fYbvvjiC2lfqampsLa2xvLlyzFp0iS9+3ynfd3qxx9/xLRp0+Dq6iqVmcI1RETNjHFmtTeu+p6L/eyzz4STk9M9J8Jo6H5rqFQq4erqWiurZ33u9Ez3rYqKigQAnWQrd5KbmytkMlmdz3S/9dZbolWrVjrPOAtxI+FISkqKTvnAgQPFI488olN2u2M+fvy4ACAOHjyoU96mTRvxxhtv3LbfrVq1Eh988IHe+2pInZvden6MfQ0REdENqOO52KSkJAFA7Nu3r0n3W+Pq1asiNDRU3HfffXo9/3unZ7q7d+8uoqOjdcr+85//CBsbmwaNRdOnTxf333+/9NrHx0e88847OnWefvppERIS0qB26tKvXz+dZ7rrMmDAAOm44uPja62c4ufnJwICAsSMGTOkMfFu+3zzvm62f/9+AUDs3btXp9zY1xARNT8t6pnuUaNGobi4WGcKF1C9TnR2dnaj7jshIQHDhw/HE088gY8//vie2ysoKKj1be+qVasAAGFhYVLZ9u3bsW/fPul1ZmamzjaffvopXF1dMXXqVJ1yrVaLn376CQ8//HCt9aIVCgWA6nUma5SVleHChQvSe8Cdj7lnz54ICAhAXFycVHbgwAFcuXJFulOfn5+PkpISne0uXLiAq1evIiAgQO996VvnTufHmNcQERHdWWBgINq3b48lS5bUek+tVjfqvgsKCjBixAhYW1tj27Zt0hTnezF+/HicOXNG5054YmIiFAoFLCwsAFTnHbl5LE1NTdVpo7KyEseOHdMZNyMiIrBmzRpoNBoAkKas3zxTTp92srKydOrs3bsXhw4dwjPPPFNvO5cuXcKRI0fQt29fANV3g5cvX67z07t3byiVSixfvhweHh533edb93WzH374AV26dMHAgQN1yo15DRFR89SsppcfOXIEiYmJUvKOVatWwdHREYMHD0ZAQAC6dOmC9957D0888QQOHTqEnj174tKlS1i3bh1+/vlneHp6Nsp+r1y5ghEjRsDf3x+9e/fWCdhGjRolDSYNkZ2djfHjx2PChAlo164dTp48ie+//x6vv/66zvPOb7/9Ntq2bSsNKHPnzoWTkxN69+6Nffv2YdWqVVizZo00hb3G77//juTkZJ0EajV69OiBadOm4aGHHsLzzz8PNzc3/Prrr9BoNJg5cyYA6HXMFhYW+OKLLzBt2jRotVr4+fnh888/x/Tp09G/f38A1UHwlClTMH78eLRv3x4pKSlYunQp7r//fikQ1mdf+v4/uNP5MdY1RERE1TIyMrBz507p9f79+wEAHTt2RL9+/WBhYYEff/wR48aNQ0REBCIiInD16lVs2bIFEydOxKuvvtoo+wWqH4VKSkrChx9+iA0bNkh1g4KCEBQUdFf7ffXVV7Fy5UpMnDgREREROH36NL799ludcWzNmjX4/PPPERkZCQCYMmUKevfujV69eqG0tBRxcXG4evUq3nzzTWmbt956C0qlEuPGjcPo0aMRFxcHBwcHvPjii1IdfdrZsmULVq1ahYiICKSlpeHLL7/EvHnzMGzYMKnOtGnT0KNHDwQHByMnJwdLlixBSEhIvY+B1UefPuu7r2vXriE2Nhbz58+vtR9jXkNE1DxZiJu/OjVzv/32GzZv3lyr/Pnnn4dSqZReHzp0CGvWrEFeXh46deqEGTNm1Jkp01D7TUpKwsKFC+vcdv78+ejQoUOd7z3yyCN4//334ePjU+f72dnZ+Pnnn/H333/Dx8cHEREROscJVCdb8/T0xKxZswAAVVVVWLZsGQ4fPgyFQoFHHnkEbdq0qdX2smXLpA8OdRFCYPXq1di/fz9KSkrQuXNnPPbYY1KCk4Ycs0qlwq+//ori4mIMGjQI//jHP3QSoGVnZ+OXX37BmTNn4O7ujoEDB2LMmDHSN/z67Evf/uh7fpr6GiIiomqnT5/G4sWLa5Xff//9eOKJJ6TXKSkp+OWXX3D+/Hn4+vpi7Nixdd7tNOR+H3/8cVRUVNSqM3ny5HpX9/jkk0/Qo0ePOp83rlFQUIDvvvsOZ8+ehY+PDyIjI3Uyoq9Zswbbt2/Ht99+C6D6jnRMTAwOHToEa2trdO/eHdOnT4dcLtdpNz09Hd999x2Sk5PRqVMnPPPMMzqJyvRtZ+fOnVi3bh1sbW0xefLkWvlWapKPHjp0CHK5HGFhYZgyZYo0jtd3XqytraXcMfr2Wd99JSQk4LPPPsPnn39e780PY1xDRNQ8Naugm4iIiIiIiMiUtKhnuomIiIiIiIiaEoNuIiIiIiIiokbSLBKpabVapKWlwcnJ6bbPBxERETUFIQSKiorg6+urk6OC7h7HeiIiMjX6jvfNIuhOS0vTWaqKiIjIFKjVavj7+xu7G80Cx3oiIjJVdxrvm0XQXbMOplqtrrX0FRERUVMrLCyEQqEwyDrNVI1jPRERmRp9x/tmEXTXTDNzdnbmQExERCaD06ANh2M9ERGZqjuN93zQjIiIiIiIiKiRMOgmIiIiIiIiaiQMuomIiIiIiIgaSbN4ppuIiG5Pq9WioqLC2N1oVqytrSGTyYzdDSIiIolGo0FlZaWxu9FsGGqsZ9BNRNTMVVRU4NKlS9BqtcbuSrPj6uqK1q1bM2EaEREZlRACGRkZyM/PN3ZXmh1DjPUMuomImjEhBNLT0yGTyaBQKGBpyaeKDEEIgZKSEmRlZQEAfHx8jNwjIiJqyWoCbi8vL8jlcn4ZbACGHOsZdBMRNWNVVVUoKSmBr68v5HK5sbvTrNjb2wMAsrKy4OXlxanmRERkFBqNRgq43d3djd2dZsVQYz1veRARNWMajQYAYGNjY+SeNE81X2Tw+TkiIjKWmjGIX643DkOM9Qy6iYhaAE4zaxw8r0REZCo4JjUOQ5xXBt1ERGRW3nzzTfz3v/81djeIiIiokaxatQovvviisbthMAYPuk+ePImZM2eiX79+2L59u17bxMbGIjIyEuHh4Zg+fTo2b95s6G4REVEzcfDgQSQlJRm7G0RERNRIzp8/j7179xq7GwZj0KD7m2++wfTp09GtWzccOnQI2dnZd9zm008/xWOPPYYhQ4bgnXfeQVBQECZMmIBff/3VkF0jIiIiIiIianIGzV4+ffp0/POf/wQAPPfcc3pts27dOkRFRWHWrFkAgPDwcPz5559Yt24dpk+fbsjuERGRmUhNTcWSJUtw7tw5BAQE4IknnkDXrl3rrb99+3bExsaisLAQwcHBmD17NlxcXKT3X3nlFYSGhqKkpAR79uyBhYUFnnrqKfTv31+nnSNHjmDZsmXIyMhAhw4dMHPmTAQEBDTacRIREbVUpaWl+P7773Ho0CE4OjpiwoQJGDNmTL31z549i2+++QbJyckICAjAzJkz0blzZ+n95cuX4/Tp0xgxYgRWrVqFnJwcRERE4OGHH9ZpJzMzE0uWLMHp06fRunVrREVFYdCgQY12nICB73Tf/AFHX6GhoTh27BhKSkoAAHl5eUhKSkJYWJghu0ZERLi+5mRFlVF+hBB69bG0tBT9+/fHhQsXMG3aNCgUCjz00ENITk6us/4PP/yACRMmoG3bthg/fjw2bNiAAQMGoKKiQqqzb98+PPPMM1i9ejWGDx8OJycnhIeH43//+59UZ82aNRgxYgQ8PT0xbdo0lJaWomfPnjh//vy9nXQiIqImZA5jPQA88cQT+OmnnzBixAj069cP//nPf+qd7ZyYmIg+ffogLy8PU6dORW5uLkJCQpCYmCjVOXPmDL7++mv885//REhICMLCwjB79mwsWrRIqnPp0iX07t0b6enpmDZtGtq0aYOJEydi+fLld3/C9WD0dbo/+OADvPzyy/D390ebNm1w8eJFvPzyy3j55Zfr3aa8vBzl5eXS68LCwqboKhGR2Sut1KDbW/rl2zC0xHdHQm5z52Hn7NmzSE5OxpkzZ6T1Mf/5z39Ky5/drLy8HK+//joWLVqEl156CQAwceJEtGnTBkuXLsXMmTOlul5eXtiwYQNkMhlmzJiBgoICvPnmm9i9ezcqKysxc+ZMfPXVV4iOjgYAREZGIjc3F4sWLcKPP/5oiFNARETU6MxhrAeAHTt24KeffsLYsWMBAI899hjy8/PrrPt///d/GDx4MH7++WcA1TOsR4wYgTfffBNr1qyR6l27dg0bN25Ep06dAFSP/TNnzsSsWbPg4uKC119/HREREfjuu++kbTw9PfHGG2/gH//4x90csl6Mnr08JiYGP//8M95++2188skneO211/DJJ59gx44d9W6zePFiuLi4SD8KhaIJe0xERI2pffv2cHd3x1NPPYU9e/agrKwMNjY2UgB+s3PnziEnJwcTJkyQypydnTF06FAcOHBAp+7o0aMhk8mk1+PHj8fBgwchhMCJEyeQmZmJZcuWYeLEiZgwYQLGjx+PhIQEnDp1qvEOloiIqIUKCwvD/PnzsXbtWuTl5QEAXF1d66x74MABnbEeACZNmlRrrA8MDJQCbqB6rC8uLsbJkycBVAf6R44c0Rnrf/zxR6jV6ka9kWv0O90vvfQSXnjhBTz//PMAgKFDhyI5ORmvvvoqRo4cWec28+bNk+5oANV3uhl4ExHdmb21DInv1v23tSn2rQ9nZ2ccPnwYX375JWbNmoVLly4hOjoaX375Za3A++rVqwBqP97k6uqKjIyMWu3ezMXFBWVlZSgtLZW+WX/ooYdqDfi3btfcXblyBT/88AMuXboEPz8/PP3002jfvv1ttzlw4ADWr1+PjIwMdO7cGU899RQ8PT2l98+dO4d58+bV2u7DDz+8Y9tERNQw5jDWA0BcXBy+/vprfPbZZ5g+fTr69++P//znPzpBc42rV6/WOdbXfA6oceuY7eTkBEtLS6leQUEBhg4divDwcJ16c+fOha2trd59byijBt0ajQaFhYXw8/PTKff19ZW+7aiLra1to54UIqLmysLCQu9pX8bUvn17fPbZZwCqlw0ZOHAgevTogRdeeEGnXrt27aQ6Hh4eUvm5c+cQFBSkU/fChQs6r8+fPw8vLy/I5XK0bdsWAODh4YFRo0YZ+GjMh0qlwuDBgxEVFYUHHngAKpUKffr0wd69e9GjR486t5k3bx727NmDcePGoUuXLli5ciU++eQTHD58GB06dAAA5ObmYvXq1fjll19gZ2cnbevm5tYkx0VE1JKYy1jv6OiI1157Da+99hoKCgoQGRmJF198EZs2bapVt127drVyrJw7d04av2tcvnwZWq0WlpbVE7ovXrwIrVYr1WvTpg0ASFPam0qTTy9funQphg8fDgCQyWTo378/li1bhqKiIgBATk4Ofv3110bPIEdERKbp5MmTOo8YBQQEwNnZWScxWg1/f38MGTIEixcvRlVVFQBg165d2LdvH2bMmKFTd926dTh9+jSA6m+6v/zyS2mVjA4dOuD+++/HG2+8obPc5d9//43Nmzcb/BhN1bvvvotBgwbhp59+wiOPPIKvvvoKY8eOxWuvvVbvNrNmzcL//vc/vP7663j00UexYcMGeHt7S1+a3GzixImYOnWq9MOgm4ioZdJqtfj6669RWVkJoHr2mb+/f51jPQDMmDED3333nTSLLT09Hd99912t57AzMzOxdOlSANUJ5RYuXIiePXtKXxw/9dRT+M9//oOEhARpm/z8/EbP3WLQoFulUqFfv37o168fAOCdd95Bv379sHjxYqlOSkoKVCqV9PqHH36AEAL+/v7o1asX2rZtC4VCgS+++MKQXSMiIjPh7u6OTz/9FG3btsXw4cPRoUMHeHp64qmnnqqz/nfffYekpCR07NgRAwYMwLhx4zB//nzcd999OvUGDBiAkSNHYvDgwejUqRPs7e3xr3/9S3r/t99+g6urKzp27IghQ4age/fumDJlyl2tzGGuUlJSEBgYqFMWGBiI33//vd4PQv7+/jqvZTIZfHx8ak35A4AXXngBjz76KD744IPbzmgjIqLmzcLCAklJSVAoFAgPD0evXr2wbds2LFy4sM76r7zyCoKCgtC1a1cMHjwY3bp1Q3BwcK3k2507d8bXX3+NsLAwdOnSBZs2bcL3338PCwsLAMBrr72Gxx9/HAMHDoRSqUTfvn3Ro0ePesc4QzHovIPAwEB8/vnntcq9vLykfz/55JM6t/Pbt2+PAwcOICMjA5mZmfDz89OZIkhERC2Lr68vtm3bhuTkZJw/fx4+Pj46a3QvXLhQJxDu3LkzEhMTceTIERQUFCAoKAje3t612g0PD8e6deukxGhKpVInsZq3tzf++OMPnD9/HpcuXYK/vz8CAwOlKWotgVKpxLZt21BUVAQnJyeUl5dj48aNqKysRHJyMjp27HjHNo4fP449e/bghx9+0CkPCQlBt27dIJfLsWLFCnz88cc4cOBAvW1ypRIioubLwsICX331FRYsWIATJ07AwcEBvXr1grW1NQBg2rRpGDhwoFTf3t4emzZtwpkzZ3DlyhW0adMGXbp0qdWuj48Pdu7cicTEROTk5CAsLAyOjo7S+zKZDP/+97/xr3/9CydPnoSTkxN69OhRZ7JWgx6vaMhiaiaqsLAQLi4uKCgoaHEJb4iIbqesrAyXLl1Cu3btdJ6lbWn69euHsWPH4s033zRou/WdX3Mdl7KzsxEREYHk5GRp/VOlUolVq1bh1KlT6N69+223z8zMRP/+/dGtWzds2LBBurNQVFQEe3t7WFlVf9ev0WjQt29fKBQKrF27ts623nnnHcyfP79WubmdUyKixsaxvtqbb76Jffv24c8//zRou7c7v/qO9y3n63siIiK6LU9PTxw6dAjbtm3DzJkzsXPnTkyZMgUA6pw9cLPs7GwMGzYMbdu2RVxcnBRwA9XZY2sCbqD6TsO4ceN0Hje71bx581BQUCD9qNXqezw6IiIi4zD9tHZERET36JNPPrlj0EjVLCws0Lt3b/Tu3RsAsGjRInTv3v22j37l5ORg2LBh8PLywsaNG/WapldQUKAzvf9WXKmEiIga4qGHHkJERISxu1En3ukmIqJmb8CAAXo9j9zSXblyBUePHpVe79mzB8uXL9eZln/mzBlMnToVFy9eBFC9HNiwYcPg4eGBTZs2QS6X12p33bp1OonV/v77b/z000+YMGFCIx4NERG1JIGBgbWSqJoK3ukmIiIiAICDgwOmT58OCwsLyGQyJCQk4P3330d0dLRUJycnB6tXr8brr7+O9u3b47nnnsOJEycwevRoPPzww1K9rl27YsGCBQCAyspKKJVK+Pr6wtLSEocPH8bkyZN1VjchIiJqrhh0ExG1AM0gZ6ZJam7n1cPDA3v27IFKpUJBQQHCwsJqraXdtWtXrFy5Eh06dABQvU735MmT62yrxrRp0zB27FgcPXoUpaWlCAwMrLXUGBER3ZvmNiaZCkOcVwbdRETNWM0zsxUVFY2+HEZLVFJSAgDSEifNgUwmQ79+/ep9393dHVOnTpVeDxgwQK927e3t0b9//3vuHxER6aoZg0pKSjjWNwJDjPUMuomImjErKyvI5XJkZ2fD2tq6Ra053ZiEECgpKUFWVhZcXV1vmxCMiIioMclkMri6uiIrKwsAIJfLdVaQoLtjyLGeQTcRUTNmYWEBHx8fXLp0CVeuXDF2d5odV1dXtG7d2tjdICKiFq5mLKoJvMlwDDHWM+gmImrmbGxs0KlTJ1RUVBi7K82KtbU173ATEZFJqPmS3cvLC5WVlcbuTrNhqLGeQTcRUQtgaWkJOzs7Y3eDiIiIGpFMJuMXwiaID/cRERERERERNRIG3URERERERESNhEE3ERERERERUSNh0E1ERERERETUSBh0ExERERERETUSBt1EREREREREjYRBNxEREREREVEjYdBNRERERERE1EisDN1gVVUVNmzYgCNHjmDatGno1auXXtslJSVh+/btsLCwwIQJE9C2bVtDd42IiIiIiIioSRn0TvfWrVvRoUMH/Pzzz1i4cCFOnjyp13bz589HaGgoTp06hYyMDEycOBH79+83ZNeIiIiIiIiImpxB73T7+flh//798PPzg4WFhV7bbN68GfPnz8fu3bsxZMgQAMBbb72FjIwMQ3aNiIiIiIiIqMkZNOgOCgpq8DZffPEFhg8fLgXcAGBvb4927doZsmtERERERERETc7gz3Q31OHDh/Hqq6/if//7H/788094eXlh9OjR8Pf3r3eb8vJylJeXS68LCwuboqtEREREREREDWLU7OVCCBQUFGDt2rV4/vnnUVxcjE2bNiEwMBDbt2+vd7vFixfDxcVF+lEoFE3YayIiIiIiIiL9GPVOt4WFBRwcHFBUVIRTp07B2toaAPDYY4/hxRdfRGJiYp3bzZs3Dy+99JL0urCwkIE3ERERERERmRyjTy/v2rUrOnXqJAXcAHDfffdhxYoVEELUmZDN1tYWtra2TdlNIiIiIiIiogZr8unlf/zxBxYuXCi9joqKwuHDh3We0d67dy+6deumdwZ0IiIiIiIiIlNk0DvdFy5cwLJly6TXq1atwpkzZxAaGoqJEycCAPbs2YPPP/8c//d//wcAmD17NjZv3ozQ0FAMHz4cp0+fhkqlwqZNmwzZNSIiIiIiIqImZ9CgWyaTwc7ODgCwYMECqfzmqeNDhw6Fo6Oj9NrOzg47d+7Eli1bcPbsWfTp0we//fYbWrVqZciuERERERERETU5CyGEMHYn7lVhYSFcXFxQUFAAZ2dnY3eHiIhaOI5LhsdzSkREpkbfscmoS4YRERGRaVGpVHj88cdx//334x//+AcOHz58x21ycnLw8ssvIzw8HFOnTsWOHTvuqg4REVFzxKCbiIiIAAA7duzAfffdB19fX7z55pvo0aMHhg0bhv3799e7TXl5OYYMGYKEhAS88sorCA4OxpgxY7Bhw4YG1SEiImquOL2ciIjIwMx1XBoxYgQcHBywdu1aqezZZ5/FmTNn8Oeff9a5zffff4/nnnsOGRkZcHV1BQA8+eSTOHToEE6ePKl3nTsx13NKRETNF6eXExERUYPk5ubC19dXp8zPzw979+5FaWlpndvs2rULgwYNkoJpAJgwYQJOnTqFzMxMvesQERE1Vwy6iYiICAAwZMgQrFu3DqmpqQCAvLw8/Pbbb9BqtVCr1XVuc+XKlVqBes3rK1eu6F3nVuXl5SgsLNT5ISIiMkcMuomIiAgA8O6770KpVKJTp04ICgpCYGAgwsPDAQBVVVV1blNZWQlbW1udMnt7e+k9fevcavHixXBxcZF+FArFXR8XERGRMTHoJiIiIgCAo6Mj1q1bh+TkZPz88884f/487rvvPlhYWMDHx6fObVq1aoW8vDydstzcXACAu7u73nVuNW/ePBQUFEg/9d1pJyIiMnVWxu4AERERmRYPDw94eHgAADZu3IjQ0FC4ubnVWTckJAQxMTE6ZYcOHYKTkxM6dOigd51b2dra1ro7TkREZI54p5uIiIgAAOfPn8e2bduk13FxcVizZg0WLFgglZ04cQL9+vXDmTNnAACPPPIIUlJS8NNPPwEAsrOzsWTJEjz88MOwtrbWuw4REVFzxaCbiIiIAACenp745ptv0LZtW3To0AHPPfccli9fjpEjR0p1CgsLcejQIRQXFwMAunbtimXLluG5555Dx44d0aZNG3Tt2hUffPCBtI0+dYiIiJorrtNNRERkYOY+LqWkpKCgoABdunSBTCbTea+oqAinT59Gz5494eDgIJWXlJTg7NmzcHd3R0BAQJ3t6lOnPuZ+TomIqPnRd2xi0E1ERGRgHJcMj+eUiIhMjb5jE6eXExERERERETUSBt1EREREREREjYRBNxEREREREVEjYdBNRERERERE1EgYdBMRERERERE1EgbdRERERERERI2kUYLujIwM7Ny5ExkZGQ3arqSkBDt37sTJkycbo1tERERERERETcqgQffp06cRFRWF0NBQDB8+HDt37mzQ9jNnzsSoUaMwf/58Q3aLiIiIiIiIyCgMGnRfunQJkyZNwsWLFxu87YoVK5CYmIgHHnjAkF0iIiIiIiIiMhorQzY2duzYu9ru/PnzeOWVV7Bnzx68+OKLhuwSERERERERkdEYNOi+GxUVFYiOjsaCBQvQqVMnvbYpLy9HeXm59LqwsLCxukdERERERER014yevfy1116DQqHAk08+qfc2ixcvhouLi/SjUCgasYdEREREREREd8eoQffhw4fxzTffICoqCjt37sTOnTuRk5ODrKws7Ny5E2VlZXVuN2/ePBQUFEg/arW6iXtOREREREREdGdGnV5eVVWFgQMHYunSpVLZhQsXYGlpiffffx8rVqyAnZ1dre1sbW1ha2vblF0lIiIiIiIiarAmD7ovXrwItVqNIUOGoH///rWWFRs7dizs7OywatWqpu4aERERERERkUEZNOjOy8vDkSNHpNenT5/Gzp074efnh65duwIAfv75Z3z++efIz8835K6JiIiIiIiITI5Bg+4rV67g/fffBwAMGzYMKpUKKpUKY8aMkYLu9u3bIzw8vN42evfuDRsbG0N2i4iIiIiIiMgoLIQQwtiduFeFhYVwcXFBQUEBnJ2djd0dIiJq4TguGR7PKRERmRp9xyajLxlGRERERERE1Fwx6CYiIiIiIiJqJAy6iYiIiIiIiBoJg24iIiIiIiKiRtLk63Q3ptdXn4Ct3BEWNQUWNf+RSmBhofPWTa/rqHNLQzde67n93RzEHVhYWNzy+uY+6fbz1j4CQE3aPKHzb4Gb0+nV5NYTN20jrr+q/rduW7ipttTmze3d+t6t7QpAK6praUX1/mve02qv/1dcry/Vq66jFaLW/uo6N7dz6zmV+n1Lozefr1pldbzXGCxgoXN9/j975x3fVPX+8U9Gm+5JJ22h7L2H4EARARmKKLj3VlQUUHEiDhQE/bpFERk/VBAFFAUUARFlj1J2oZTu3aQr+/z+SO9N0qZt2uYmNzfP+/XqS3Nz7jqcnHOe8zzn89T/N7f8v8zu317m4LjdNR2+fuPtrH4JZ35Ddnd28Ptw0JQatBvb/3f0naPndVw/9Z7Jwe+av6yD30jTvwfHz2W5p/VZ7P996v1uZfbPZvvvZ3fNhq/d4N/JcRlZw++aqq961+bKcHViZtb/Z6zut4q63yaz/61a+h3rZ7NNPXH1Ur/9oq7Ny2zqpkFd2Zxb/90a9oc27bSR93d8XhNlHIwVupoqEMLw8s/HERAUYtceHP3G7L5HvX97mf2/JXesPs73mVbq//4ddVNCStg21T86Gt8bO8/553Y8VtY/xvcTsPYPfJ8Aa3/KfUa9eYCr66xhHTgYc/gy9vVWv5wQNNZ3OerfmpqnNixrW8aJ34ALJrONtYkGx5xoS45w5t0clXPFu7mDBu/iRF/laG7b2nkD0FifwR2r9/tw0K80hqffzRVzImfHe0kZ3b+m5UOuCvL0YxAEQRA+jllX4+lHkCwbj+bRWE8QBEGIAmfHe0kZ3bPHdkNAcAgAxyu1znjJ+NUaB15ZvkxTq8EOVkNdRVPPX/85+ZWlemVsnAH2HiPYr9o08NY38J46sfrjaCXKgbdIIbf1Vsggr/NKyOUyq+dLBsjrnkFe57bgP8sbrpQ5WllzZqWVr6MG72L/3I5Xgx2slrkQzgPAf27UC8v9P7NbdXS6Tpwq4/xvoLkoCkeRIXxdOvgO9eq5/r9Fg2eyrbP6ZRr5rn6EAHcfZ34P9Z+rvjfckZfcts5sn81RHdq9m917N9/rNBmt4eBejfWVjDH+dylD3W+27jcJ1P02Zdb/ymx+u5bj1mMymayBZ4u7p9X7ZfWQ1a8rWy9Z/bppLFrF0bs1NVY4qgPb6zvqi2urqvDihw3P8QZ+/fVXfPzxx8jMzERYWBjGjBmDl156qdFUKK+++iqWL1/e4HhgYCDOnTsHADhy5AgmT57coMxvv/2Gfv36tej5nhnTBQFBoQBgExmFus8N24t9+7AvD5vz6uPQQ9PMmMHTwMPSvNfNlTjqHxuLhrM96MiL0+DaTnmiHJSp1z/Uj0bgyliPW+cBsDnuSpyJEKwfFeVorHI1jXkOW9p31y9rd6zhTZsv0wYc/06a91i2NLIEaOS5648HTV9WNDgafxuUaeYcR2Uau5aj+zeMELAeaNhnOCjTyL+hGN7Ncn7b5kQ1VZV4/sNmb0d5ugmCIAjC1XjruLRz505ce+21WLBgAaZMmYLc3Fw89thj6N27N3766SeH51RUVKCqyj687sorr8SwYcPwww8/AAD27t2LESNG4MyZMwgKsnqp4+Li4Ofn59SzeWudEgRBENLF2bFJUp5ugiAIgiBaz65du5CcnIznn38eANCtWzc89thjmD9/fqPnREREICIigv/877//4uLFi/jqq68alE1MTERISIjLn5sgCIIgxAyplxMEQRAEAQAYPXo0CgsLsWfPHgBAZWUlfvvtN4wbN87payxbtgypqam49tprG3x3+eWXo0ePHrjpppuwb98+lz03QRAEQYgZMroJgiAIggBgCQtfuXIlxo4di+joaERHRyMwMBArVqxw6vyqqiqsXbsWDz30UL09fTI88sgj+Pzzz/H9998jNTUVI0eOxI4dOxq9lk6ng0ajsfsjCIIgCG+E9nQTBEEQhIvx1nHpv//+w9ixY/Hqq6/ixhtvRE5ODmbMmIErrrjCYbh4fZYtW4bHHnsMly5dQkJCAn+cE9+zZfLkyaisrMTOnTsdXmvevHl44403Ghz3tjolCIIgpIuz4z0Z3QRBEAThYrx1XJo6dSqqqqqwbds2/tjmzZsxadIkZGVlISUlpcnzR44cidjYWGzYsKHZe7399tv46KOPUFhY6PB7nU4HnU7Hf9ZoNEhOTva6OiUIgiCkCwmpEQRBEATRInQ6HUJDQ+2OcZMIWwPYEadOncJ///2HX3/91al7XbhwAVFRUY1+r1KpoFKpnLoWQRAEQYgZ2tNNEARBEAQAYNy4cfjtt9/w999/A7CEcr/zzjvo0qULOnfuDAA4cOAAkpKSkJaWZnfu119/jaSkJIwfP77Bdd9//338888/MJlMYIxh7dq1WLlyJR566CHhX4ogCIIgPAx5ugmCIAiCAADMmDEDhYWFuOGGGyCTyVBbW4vLLrsMGzduhFxuWafX6XTIzc2FXq/nzzMYDFi1ahUef/xxKBSKBtcdM2YMnn/+eezduxcmkwnR0dH44IMP8OSTT7rt3QiCIAjCU9CeboIgCIJwMVIYl8rKyhAaGgo/Pz+743q9HkVFRYiLi+O/MxqNKCgoQLt27RAQENDoNXU6HYxGI4KDg1v8PFKoU4IgCEJa0J5ugiAIgiBaTWP7rf39/ZGUlGR3TKlUNjjmCNqnTRAEQfgitKebIAiCIAiCIAiCIATCpUZ3bW0tli9fjmHDhkGpVGLNmjXNnnPs2DHceeedSEpKQlxcHCZNmoRjx4658rEIgiAIgiAIgiAIwiO41Oj+6quvsGvXLnz00UcwmUwwm83NnvPCCy9g0qRJ2Lt3L44ePYqYmBiMHj0aeXl5rnw0giAIgiAIgiAIgnA7Lt3T/fTTT7f4nC1btth9/uKLL7B69Wr88ccfuPfee131aARBEARBEARBEAThdkS3p7uiogImkwmhoaGefhSCIAiCIAiCIAiCaBOiUy9/9tln0b59e4wbN67RMjqdDjqdjv+s0Wjc8WgEQRAEQRAEQRAE0SJE5el+7bXXsGnTJvz4449N5vBcsGABwsPD+b/k5GQ3PiVBEARBEARBEARBOIdojO633noLixcvxm+//Ybhw4c3WXbu3LlQq9X8X3Z2tpuekiAIgiAIgiAIgiCcRxTh5W+//TYWLFiAzZs346qrrmq2vEqlgkqlcsOTEQRBEARBEARBEETrcbune/78+WjXrh3/+b333sOCBQvw22+/4eqrr3b34xAEQRAEQRAEQRCEYLjU6P7rr7+gVCqhVFoc6Pfeey+USiUeffRRvozZbIbRaOQ/z5s3DzU1Nbj22mv5c5VKJebPn+/KRyMIgiAIgiAIgiAItyNjjDFXXYwxBpPJ1OC4XC6HXG6x781mMxhjUCgUAACTyQRHj2B7TnNoNBqEh4dDrVYjLCysDW9AEARBEG2HxiXXQ3VKEARBiA1nxyaX7umWyWS8l7sx6hvSnPFNEARBEARBEARBEFJDNOrlBEEQBEEQBEEQBCE1yOgmCIIgCIIgCIIgCIEgo5sgCIIgCIIgCIIgBIKMboIgCIIgCIIgCIIQCDK6CYIgCIIgCIIgCEIgyOgmCIIgCIIgCIIgCIEgo5sgCIIgCIIgCIIgBIKMboIgCIIgCIIgCIIQCDK6CYIgCIIgCIIgCEIgyOgmCIIgCIIgCIIgCIFQevoBCIIgCIIQH2azGXJ582vzjDHodLoGx1UqFWQyWauvSxAEQRBSgUY9giAIgiB4PvroI3Tu3BkBAQGIiIjALbfcgpycnEbL79u3D4GBgYiIiLD7O3LkiF25vXv3YvDgwfD390e7du3wyiuvgDEm9OsQBEEQhMcho5sgCIIgCADAzz//jOeeew6LFi1CbW0tjh8/jtzcXNx1113NnltSUgKtVsv/DRo0iP+usLAQ48ePx9VXX43y8nJs3LgRn376Kd577z0hX4cgCIIgRAEZ3QRBEARBAADS0tKQlJSEqVOnQqFQIDk5GdOnT0daWppT55vNZofHly1bBqVSiYULFyI0NBSXX345nnzySfzvf/8jbzdBEAQhecjoJgiCIAgCADB16lSUl5djxYoVKC8vx4kTJ7Bq1Srcf//9zZ6bkJCAwMBA9O3bF2vWrLH77r///sPll18OhULBH7vmmmtQUFCAzMxMl78HQRAEQYgJMroJgiAIggAA9O3bF1999RWeeOIJREdHo0+fPkhKSsLbb7/d6DkqlQoLFy7EhQsXUFJSgscffxx33303vv/+e75MYWEhYmJi7M6LjY3lv3OETqeDRqOx+yMIgiAIb4SMboIgCIIgAACbNm3CPffcg1WrVkGn0+HixYsoLy/HlClTGj1n4MCBmDNnDmJiYhAaGoonnngCt912Gz788EO7cvVDz7nPjhTOAWDBggUIDw/n/5KTk9v0bgRBEAThKcjoJgiCIAgCAPDll19i3LhxmDp1Kvz8/NChQwfMnz8fW7duxblz55y+Tu/evXH+/Hn+c0JCAoqKiuzKcJ/j4+MdXmPu3LlQq9X8X3Z2diveiCAIgiA8j8uN7vPnz+P555/HmDFjsH37dqfOOXPmDJ544glMnDgRM2fOpIGVIAiCIDyAv78/jEaj3TGDwQDAEkYOWPJya7XaJgXQjhw5gqSkJP7zFVdcgT179vDXAoDt27ejffv26NChg8NrqFQqhIWF2f0RBEEQhDfiUqN72bJlGDduHKKiorB9+3bk5+c3e87Zs2cxbNgwVFdX47777kNmZiaGDRuGgoICVz4aQRAEQRDNMG3aNGzZsgXffPMNSktLcezYMbz00ksYNmwYUlJSAAB79uxBYGAgDh06BACYM2cOvv32W1y6dAk5OTl45513sH79esyePZu/7gMPPAClUoknnngCOTk52Lx5Mz755BM8//zzjYaXEwRBEIRUcKnRfeONN+LcuXN48cUXnT5n/vz56NGjB1asWIFp06bhxx9/hEqlwuLFi135aARBEARBNMMdd9yBr7/+Gp999hm6du2Km266CQMGDMDGjRv5MnK5HCqVCnK5ZQrx3HPPYf/+/bj66qsxdOhQ/Pnnn/jtt99w55138udER0dj+/btOH/+PHr37o2nnnoKr7/+Op5++mm3vyNBEARBuBsZEyhBpkwmw6pVq3DXXXc1WS42NhYzZ87ESy+9xB+bMWMGdu/ejWPHjjl1L41Gg/DwcKjVago/IwiCIDwOjUuuh+qUIAiCEBvOjk1KNz5TA2pqalBcXGy37wsAkpKScPHixUbP0+l00Ol0/GdKI0IQBEEQBEEQBEGIEY+ql+v1egBAYGCg3fGgoCD+O0dQGhGCIAiCIAiCIAjCG/Co0R0SEgKlUomysjK746WlpYiMjGz0PEojQhAEQRAEQRAEQXgDHg0vVyqV6NOnDw4fPmx3/PDhwxgwYECj56lUKj51CUEQBEEQBEEQBEGIFbd7uleuXIkpU6bwn++77z6sW7cOGRkZAICDBw9i27ZtuO+++9z9aARBEARBEARBEAThUlxqdB85cgRjxozBmDFjAADvvvsuxowZgyVLlvBlLly4gJ07d/KfZ8yYgcmTJ6N///4YPHgwrrzySjz55JOYPn26Kx+NIAiCIAiCIAiCINyOS1OGlZWVNQgVB4D27dujZ8+eACxGd3Z2NkaNGmVXJisrC5cuXULnzp2RmJjYovtSGhGCIAhCTNC45HqoTgmCIAix4ZGUYVFRUbyXuzE6deqETp06NTjeoUMHdOjQwZWPQxAEQRAEQRAEQRAexaPq5QRBEARBEARBEAQhZcjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAgyugmCIAiCIAiCIAhCIMjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAgyugmCIAiCIAiCIAhCIMjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAgyugmCIAiCIAiCIAhCIMjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAilpx+AIAiCIAhxYTKZUFhYiLCwMISEhDh1jl6vR1lZGeLi4iCTyey+0+l0yM7ObnBOcnIyVCqVS56ZIAiCIMQKeboJgiAIggAAMMbw/PPPIzw8HEOGDEFsbCwuu+wynDx5stFzjh49iilTpiAqKgoDBgxAZGQk3nnnHbsyR44cQdeuXTFu3DiMHz+e/zt37pzQr0QQBEEQHsflnm6DwYDff/8dWVlZ6Nq1K8aOHQu5vGnbvqKiAtu2bUNRURESExMxbtw4BAcHu/rRCIIgCIJogv/7v//Dhx9+iN27d2P48OGorq7GzTffjHvuuQcHDx50eM727dvx4IMPYt26dfDz88OOHTtw/fXXIz4+Hg888IBd2WPHjjntOScIgiAIqeBST3dlZSVGjhyJ2bNn4+jRo3jkkUcwfvx46PX6Rs/5559/kJKSgs8//xynT5/Gu+++i44dOyI9Pd2Vj0YQBEEQRDNkZmYiISEBw4cPBwAEBwdj3LhxyMzMbPScWbNmYfLkyfDz8wMAXHPNNRg1ahS2bdvWoKxarUZBQYEwD08QBEEQIsWlRveCBQtQWFiI/fv3Y9myZfjvv/+wb98+LF26tNFz3n77bYwcORI7duzAJ598gr179yIpKQmLFy925aMRBEEQBNEMd911FwwGA95++20cP34cW7duxWeffYYXXnjB6WuYTCZkZGSgffv2Db7r3r07evTogaioKCxcuBCMMVc+PkEQBEGIEpca3evWrcOtt96KiIgIAED79u0xadIkrF27ttFzVCqVXSi5XC5HYGAgAgMDXfloBEEQBEE0Q2pqKt555x0sWLAAY8eOxZQpU9CjRw88/PDDTl9j/vz5KCwsxOOPP84fCw0NxZo1a1BRUYGKigp8++23ePXVV/H55583eh2dTgeNRmP3RxAEQRDeiMuMbr1ej/Pnz6N79+52x3v06IFTp041et7777+PvLw83HnnnXj77bcxZcoUhISE4PXXX2/0HBqICYIgCML1fPvtt3jyySexfft25Ofno6SkBHK5HGPHjoXZbG72/K+++goLFizA6tWr0aVLF/547969cfvtt0OptEjJ3HDDDbjnnnuwbNmyRq+1YMEChIeH83/Jycltf0GCIAiC8AAuM7qrq6vBGOO93BwRERGorKxs9DyTyQSZTIZLly4hNzcXubm5/PHGoIGYIAiCIFzPd999h+uvv95uT/ecOXNw8OBBnD17tslzv/nmG8yYMQNr1qzBlClTmr1Xx44dkZWV1ej3c+fOhVqt5v8cpRwjCIIgCG/AZUZ3UFAQADTwOqvV6iaVyG+//XakpqZi9+7d+Oyzz7B//36YzWY88sgjjZ5DAzFBEARBuJ7w8HCUl5fbHSsrK+O/AwCtVouMjAzodDq+zLfffovHH38cq1evxi233NLgukajscGxf/75x84bXh+VSoWwsDC7P4IgCILwRlyWMkylUqFDhw44f/683fHz58+ja9euDs8xmUw4evQoZsyYwR+TyWS45ppr8NFHHzV5L5VK5ZoHJwiCIAgCAHD//fdj4sSJmD9/Pm688Ubk5ORg1qxZGDduHBISEgAABw8exJVXXokDBw5gyJAhWLNmDR588EG89dZbGDhwIDIyMgAAgYGBvJjaM888g4SEBIwePRpyuRwrV67EH3/8gV9++cVj70oQBEEQ7sKlQmo33ngj1q1bB61WC8CyOv7LL7/gpptu4sv8+++/+OSTTwAACoUCHTt2xL59++yus2/fviZXvwmCIAiCcD3XX389tmzZgsOHD+Puu+/Ge++9hzvvvBPr1q3jywQGBqJz584ICAgAAOzcuROpqalYtmwZxo8fz//NmjWLP2fhwoWQy+V48cUX8dRTT6GqqgqHDh3C9ddf7/Z3JAiCIAh3I2MuzNdRXFyMESNGIDo6GmPGjMGmTZvg7++Pv//+mw8xnzdvHj788ENUVFQAAH766SfccccdmDx5Mvr164e9e/di586d+P3333HVVVc5dV+NRoPw8HCo1WoKPyMIgiA8Do1LrofqlCAIghAbzo5NLgsvB4CYmBgcOXIEa9aswaVLlzBr1izcdttt/Go4AIwcOdJOJG3q1Kk4deoUNm/ejMLCQkyePBlff/01H8ZGEARBEARBEARBEN6KSz3dnoJWvwmCIAgxQeOS66E6JQiCIMSGs2OTS/d0EwRBEARBEARBEARhhYxugiAIgiAIgiAIghAIMroJgiAIgiAIgiAIQiDI6CYIgiAIgiAIgiAIgXCpermn4LTgNBqNh5+EIAiCIKzjkQS0SkUDjfUEQRCE2HB2vJeE0V1aWgoASE5O9vCTEARBEISVyspKhIeHe/oxJAGN9QRBEIRYaW68l4TRHRUVBQC4dOlSmyc3Q4cOxYEDB9r8TK66jquupdFokJycjOzsbJekWhFbPbnqOq6sJ7G1AVddh9qSc1Bbah4ptyXGGAYPHozExMQ2Pw9hQYxjvSuvJeW+R2z1LcY6cuW1qC2571pirCNXXovaUvM4O95LwuiWyy1b08PDw9v8D6lQKFwy+XPVdVx9rbCwMFG9n9iuw+GKehJjG6C25L7rcFBbah6ptiV/f39+fCLajhjHeldeS8p9jxjrGxBXHbnyWtSW3H8tMdWRK69Fbck5nBnvaTZQjyeffFJU13H1tVyF2OpJynXkymtJuZ7Edh1XQm3JOcT2bmKsI8IC/aacQ4zvJrZ6EuO7ia2OAHG+m9jqSYzvJrY6AsT5bs5cS8YkoPKi0WgQHh4OtVrt0tUYKUF15BxUT81DdeQcVE/NQ3VEtARqL85B9dQ8VEfOQfXUPFRHzkH1JBFPt0qlwuuvvw6VSuXpRxEtVEfOQfXUPFRHzkH11DxUR0RLoPbiHFRPzUN15BxUT81DdeQcVE8S8XQTBEEQBEEQBEEQhBiRhKebIAiCIAiCIAiCIMQIGd0EQRAEQRAEQRAEIRBkdBMEQRAEQRAEQRCEQIgiT3dOTg6++uorHDlyBOHh4ZgwYQJuu+02yGQyu3KbNm3C6tWrUVVVhSuvvBIzZ85EYGBgi8o89dRTOH78uN05o0ePxmuvvSbcC7oAxhg2btyIX375BUVFRejRowdmzJiBDh062JUrKyvDwoULcfToUcTGxuLRRx/F5Zdf3uIyALBt2zb83//9H8rKyjBmzBg8+eSTUCpF0WQaJT8/H0uXLsXhw4cRGhqKcePG4c4772yQO+/333/HihUroFarMXLkSDz33HMIDg52ukxZWRmmTp3q8Bkee+wx3HbbbcK8oIvYvHkzNmzYgPz8fHTt2hUzZsxA586d7cqo1Wq8//77OHjwIKKiovDQQw/hmmuuaXGZ48ePY+nSpTh//jzCwsJw7bXX4r777oOfn5/g79kWiouLsXTpUhw4cABBQUEYM2YM7r33XigUCrty27dvx7Jly1BeXo6hQ4di9uzZDZQ5mytjMBjw1VdfYefOnaipqcE111yDGTNmeIXgyNatW/HTTz8hNzcXnTt3xpNPPolu3brZlamsrMTixYuxb98+RERE4IEHHsB1111nV0atVmPlypXYtGkTRo4ciTfeeKPBvZy5DiFeamtr8e2332LXrl0wGAwYOnQonnzySYSGhtqVO3nyJD788ENkZWWha9eumDNnToOxrrkyq1atwrJly+zOCQkJwa+//ircC7qIY8eO4dtvv8XZs2eRkJCAe+65B1dddZVdGZPJhKVLl+K3336DQqHAjTfeiPvuu89u3uRMGQA4d+4cPv30U5w5cwa9e/fGCy+8gJiYGLe8a2vR6XRYsWIFduzYAZ1Oh8GDB2PGjBkIDw+3K3f27FksWbIEmZmZ6Ny5M2bNmtVgrGuuzEMPPYSMjIwGzzBo0CAsWbJEmBd0Eenp6Vi+fDlOnz6N+Ph43HnnnRg9erRdGbPZjGXLlvG/jUmTJuHBBx+0mzc5U6a4uBifffYZjhw5AgAYMGAAnnzySdG3Jb1ej1WrVuGvv/5CTU0NBg0ahBkzZiAyMtKu3Pnz57F48WKcP38eqampeO655xqMdc6U+f3337F27Vrk5+ejV69emD17NhITEwV/z7Zy+vRpLFu2DKdOnUJsbCxuu+02jB071q4MYwzffvstNm7cCJPJhAkTJuCRRx6xmzcZjUb88ssvWLFiBYxGo8M+2ZnreCXMw5w5c4Z17tyZzZ8/n23atIl9+umnrF27duzxxx+3K/f1118zf39/tmjRIrZmzRrWs2dPdt1117W4zOWXX87uvfdetmPHDv7vxIkTgr9nW3nkkUfY1KlT2bJly9imTZvYrbfeykJDQ9mpU6f4MjU1Naxnz57sqquuYj/++CN74YUXmFKpZNu3b29RGcYYmzdvHgsNDWULFy5kW7ZsYS+88AJ78cUX3fa+reHixYssNTWVzZs3j23cuJF98cUXLC4ujt1///125VavXs38/PzYggUL2Pfff8/69u3LrrrqKmY2m50uo9Pp7NrQjh072CuvvMIAsIMHD7r1vVvKs88+yyZNmsSWLl3KfvnlF3bPPfewwMBAduTIEb6MXq9ngwYNYsOHD2dr165lr732GlMoFOyXX35pUZljx46xwMBA9uCDD7LNmzezr776isXHx7MHHnjAna/cYoqKiljHjh3ZK6+8wn7++Wf21Vdfsfbt27Np06bZlfv555+ZUqlkb7zxBlu7di0bMmQIGzp0KDMYDE6XMZvNbOLEiaxLly5s1apVbP369eyyyy5jEyZMcOs7t4YXX3yRjR8/nn355Zfs119/ZQ8++CBTqVRs3759fBmj0cguu+wyNnjwYPbDDz+w+fPnM4VCwX788Ue+zMWLF1lCQgJ74okn2LBhw9jNN9/c4F7OXIcQN4MGDWJPPPEE++6779jatWvZ4MGDWZ8+fVhVVRVf5tSpUyw0NJQ98MAD7KeffmJTp05lsbGxLC8vr0Vl3nzzTdazZ0+7Pnr37t1ufd/WsG7dOjZw4ED2wQcfsF9//ZXNmzeP+fn5sa+//tqu3GOPPcbi4+PZ8uXL2ZdffskiIiLY3LlzW1xmx44dLCgoiD366KPst99+Y59//jm79tprBX/PtnLZZZexRx99lK1Zs4b9+OOP7LLLLmPdu3dnarWaL5ORkcEiIiLY3XffzX766Sd26623sujoaJaVldWiMgcOHLBrRxs2bGByuZy99dZbbn3nlvLLL7+wfv36scWLF7Nff/2VvfXWW0ylUrFPP/3UrtzMmTNZTEwM+/rrr9myZctYdHQ0e/bZZ1tUpra2lnXr1o2NHDmSrV+/nh/Hunfvzmpra93yvq1l1KhR7KGHHmL/93//x9avX8+uuOIK1qlTJ1ZWVsaXycrKYtHR0ey2225jP/30E7vzzjtZREQEy8jIaFGZJUuWsODgYLZo0SL266+/svvvv58lJSWxoqIit75zS9m2bRvr06cPe//999mvv/7KFixYwAIDA9nixYvtyr344ossMjKSLV26lC1fvpzFxcU1sOcGDx7MbrzxRnb33Xez8PBwh/dz5jreiMeN7pqaGqbT6eyOrVy5kslkMr7zNBqNLDY2ls2bN48vk56ezgCwP/74w+kyjFmM7tdff13ANxKG8vJyu88mk4n16NGDPfPMM/yxzz77jAUFBdkNOrfddhsbPnx4i8ocOnSIyWQy9vPPP9vd03ZiJEZqa2uZVqu1O7Z27VoGgO/QzGYzS0pKsltAOHfuHAPAG4vOlHHEjTfeyAYOHOjKVxKE+m2JMctk+MEHH+Q/r1y5kvn5+dkNBA899BDr3bt3i8q8/fbbLD4+3u5eS5YsYWFhYa54FcHQ6XSsurra7thvv/3GALDMzEz+WLdu3diMGTP4z7m5uUyhULDvvvvO6TJHjx5lANiePXv4MkVFRUwul7Nt27a5+tVciqO2NHLkSHbnnXfyn9euXcvkcjnLzc3lj82YMYN17tyZ/1xbW8vX94033ujQ6HbmOoS4qd9eCgoKmEwmY+vWreOP3XHHHeyyyy7jPxsMBtaxY0c2a9asFpV588037cY1b6GioqLBsaeffpp1796d/5yRkcFkMhn79ddf+WPffvutXX/sTBm9Xs+Sk5PZo48+anc/sY/1jDVsS2VlZUyhULBVq1bxxx544AE2cOBAfrHcaDSy7t27syeffLJFZerz+eefM4VCYdcXiRG1Wm3nTGCMseeff5516NCB/5ydnd1g8fL7779nCoWC5eTkOF1m3759DAA7fvw4XyYtLY0BYPv37xfi9VxG/bak0WiYSqViX331FX/siSeeYL169WImk4kxZpkn9u3b127e5EyZdu3asTfeeMPufgMHDmTPP/+8q1/LpajVav69OF577TUWFxfHfy4sLGRKpZKtXr2aP7ZhwwYmk8nY+fPn+WMlJSWMMcY+/vhjh0a3s9fxRjy+pzswMBD+/v52xyIiIsAYg1arBQAcPXoURUVFuOGGG/gyvXv3RpcuXbBt2zany3Bs2LAB48aNw3333Yd169YJ9WouJSIiwu6zXC5HWFgYampq+GPbtm3D1VdfbRe2OmXKFOzbtw9qtdrpMqtWrUJSUhKmTJlid8/64ddiIyAgoEE4LldvtbW1ACwhiTk5OXbtpEuXLujTpw/fTpwpU5/CwkJs3rwZDz/8sCtfSRDqtyXuWP22NGLECLuwsClTpuDEiRPIy8tzusyAAQNQXl6O8+fPA7CEDB06dAgDBw4U4tVchr+/P4KCguyOcfXG1VNWVhbOnj1r104SExMxdOhQvp04U6aoqAgAkJKSwpeJiYlBYGAgtmzZ4vqXcyHOtqUhQ4bYhc9NmTIF58+fx4ULFwBYfrv167s+zlyHEDf120tYWBgUCkWD9mL7e1EqlZg0aZJd3+tMGQDIzMzE5MmTMW3aNCxatIgfB8RM/fBooOFv6s8//4RKpbIL7ZwyZQoMBgN27NjhdJm//voL2dnZeOqpp+zuJ/axHmjYloKDg+Hv79+gLU2ePJkPp1coFJg8eXKDttRcmfosW7YMEydOFH1IcFhYWIOtBPXb0vbt2wEAEyZM4I9NnjwZjDH+O2fKdO7cGaGhoTh06BBf5sCBAwgLC0OnTp1c/GaupX5bCgwMREBAQIO2NGnSJD6cXiaT4cYbb2zQlpoqYzAYUF5ebjfWA0BycrLox/qwsLAG2zQjIiJQW1sLVpd5eseOHTAajXZ98/XXXw9/f3/8+eef/LHo6Ogm7+XsdbwRjxvd9TGbzVi8eDGGDx+O2NhYAJaJKwC0b9/ermz79u3575wpA1j+sW+++WY89dRT6NGjBx5++GE88cQTgr2PUOzcuRMHDhywa5RZWVkO3x8ALl265HSZ9PR0DBkyBOvWrcONN96I6dOn49NPP4XBYBDsfYSAMYZFixahf//+fCfnyrZky4oVK+Dv74877rjDpe/gDvbv349du3Y53ZZs66m5MhMmTMDSpUtx2WWXYfjw4UhNTUV5eTnWr18v2PsIxcKFC9G1a1f06NEDgOva0oABAxAcHIyvvvqK//67775DdXU1Ll68KMi7CMXRo0cbGETOtBNncNV1CPGwZMkS+Pn5YcyYMQAsC1olJSVN/l6cKQNYjKcpU6bggQcewIQJE7B8+XIMHTrUKwxvW8rKyvD11183+E3FxMTY6WKEh4cjODjYru9prkx6ejqCgoJgNBpx9913Y/LkyXjppZf4hUBv4uOPP4bZbOYXGUwmE3JycppsJ86UqU9aWhoOHjzoFQvs9dFoNPjyyy8btKWoqCg77aOgoCBERkbataXmykRHR2Pnzp146623MGDAAPTv3x8LFizAzp07mzWyxMaXX36J6upqXH/99fyxxsaf7OxsmM1mp8r4+flh2LBhWLVqFe9UzMjIwM6dO71urK+ursZnn31mt2CVlZWF0NBQO40Of39/tGvXrsVjvSuuI0ZEp4o1c+ZMHDt2DP/99x9/TK/XA0AD0bSgoCD+O2fKAJbJLOdRmTRpEnr06IGbbroJM2bMQK9evVz/QgKQkZGBW2+9FQ888AAmTZrEH9fr9Q7fn/vO2TK1tbU4cuQINBoNnnrqKZSXl+P111/H9u3b8dNPPwn2Xq7mhRdewN69e7Fnzx7+WFPthJuMOVOmPt988w2mT5/u0EshZi5duoSpU6di2rRpduJvrmpL586dw8svv4wbbrgBN910E/Ly8vDGG2/gk08+weuvvy7Ye7ma+fPnY+vWrdi1axe/2ttUOyksLHS6TExMDFasWIFHH30Ua9as4aN/hg4d6lULXXl5eZgyZQomTZqEe++9lz/uTDtxBlddhxAHmzZtwuuvv46vv/6a9xi6cqx/5pln7KInJk6ciC5duuDzzz/Hc8895/oXEgCdTodbbrkF4eHhWLBgAX/c0W8BaFhPzZWpra2F2WzG7bffjueffx6RkZH4+OOPMWjQIKSlpSEqKkqgN3MtW7duxdy5c/HRRx+hY8eOAMD3nY7aicFgAGPMqTL1PcXLli1D+/bt7Qwyb8BgMGD69Onw9/fHokWL+OOuakt6vR6zZs1CTEwM//tasmQJZs+ejS1btoheOJVjx44deO6557Bo0SJ07doVgMWBYzQaGx1/DAYD/P39my2jUqnwzTffYNq0aejQoQM6dOiA/Px8jB07Fps3b3bD27kGo9GI22+/HUajER9++CF/3Jl24gyuuo4YEZXR/cILL2DlypXYtm0b700CwCsIlpaW2q18lJaWonfv3k6XAdAghHHcuHEALB4abzC6L1y4gNGjR2P06NH48ssv7b6LjIxEaWmp3THuM1c/zpSJiopCbW0tNmzYgJCQEABAbGwsJk6ciMzMTKSmprr+xVzM66+/js8//xxbtmxB3759+eO27cQ2LLq0tJRfoXSmjC3//PMPzpw5g2+++UaQdxGKnJwcjB49GoMHD8bKlSvtvnNVW3rrrbeQkJBgpyIcHR2N6dOn4+GHHxZ9eB4ALFq0CO+++y42bdqEoUOH8sdt24ntb6K0tNSujporAwA333wzJk6ciLNnz8JsNqNfv37o168fEhISBH03V1FQUIDRo0ejZ8+e+P777+0mqs60E2dw1XUIz7NlyxZMnz4dixcvxn333ccfDw0NhVKpdPjvzP0bO1MGaDjWx8bGYuDAgTh69KhrX0YgdDodbrrpJuTm5mLnzp128xpHvwXGGMrKyprsn+uXiYqKglarxeLFi3kj8tprr0VcXBx++OEHPP7440K+okv466+/cNNNN+HNN9/EY489xh8PCAhAYGCgw3YSEREBmUzmVBlbdDodVq9ejSeffNKrVJQ5g/vcuXPYuXOn3e/EUTsBGo5jzZX54YcfsHv3bhQVFfGLNaNHj0ZsbCzWrl2LO++8U4hXcym7d+/moz1mzpzJH5fJZAgPD3fYTgIDA/ltjc6U6dGjB44dO4YLFy6gtLQUffr0wcsvv+w1Y73JZMKdd96JY8eOYefOnWjXrh3/XWRkJMrKyhqcU79vbg5XXUeMiCa8fO7cufjiiy+wdetWDBs2zO67/v37QyaT4fDhw/yx2tpanDhxgt8b6kwZRxQXFwOwdNBiJzMzE9dccw1GjBiB1atXN+j0Bw4caPf+gGVPTUREBL/660yZwYMHIzIykje4AcueEwAOO16x8cYbb2Dx4sX47bffGqRC69u3LxQKhV0dGAwGpKWl8e3EmTK2fP311+jVqxdGjhwp0Bu5ntzcXFxzzTXo2bMn1q1b12AVeuDAgXzaDw4udVb37t2dLlNSUsK3HY6UlBSYzWavaEuLFy/Ga6+9ho0bN/IhsBw9e/aESqWyaydmsxmHDx/m24kzZTgCAgLQr18/DBgwAJcuXcLJkycb3FOMFBQU4JprrkGHDh3w888/N9BV4AwdLgQPsLQTf3//Fi10uuo6hGfZunUrbrrpJixYsADPPPOM3XcKhQJ9+/Z1OEZxvxdnyjRGcXGxV4z1er0eN998MzIyMrBjx44GE/KBAweitLTULtTyyJEjMJlMfB04U2bw4MEAYNdHh4SEICIiwiv65x07dmDy5Ml49dVX8cILLzT4fsCAAc22E2fKcPz888+oqKjAgw8+6KI3EB6j0Yhbb70Vx44dw44dOxqMxwMHDkR1dTXOnj3LHzt16hRqamrs2lJzZUpKShAcHGwXHREVFYXg4GCv2K6wZ88eTJgwAbNmzXIYhdfY3Nm2nThTBrBoMnXp0gXDhw9HUFAQfv/9d68Y600mE+666y78999/2LFjRwMH3MCBA2E0GpGWlsYfy8zMRFlZWYt0fFx1HVHiIQE3O15++WUWFhbG9u7d22iZCRMmsBEjRvDq1O+88w4LDg5mBQUFTpfJyMhga9eu5cvX1NSwadOmsaioKIeKoWLi4sWLrEOHDmz69Ol26Yhs4VTH169fzxizpj2yVTh3psz58+eZSqVimzdvZoxZFBifeeYZFhMTw2pqaoR5QRfx5ptvspCQEPb33383Wmbq1KlsyJAhvFrykiVLWEBAAMvOzm5RGcYsKpdBQUHsgw8+cP3LCEReXh7r2rUrmzx5coPMARwnT55kCoWCrVixgjFmUffs3r27nQqnM2XeeustFh4ezs6ePcsYs6juP/TQQ6xdu3YNlObFxgcffMACAwObVBC/5557WJ8+ffhsAEuXLmVKpZJ/X2fLfP/996yyspIxZlEOHjduHBs4cGCjv3WxUFhYyHr27MnGjRvXaFqYjIwM5ufnx7788kvGmOU306dPHzuFc1saUy9v6XUI8bFt2zYWEBDAlixZ0miZjz76iEVERLAzZ84wxiyqyH5+fnYK586U+eCDD+za5Mcff8wAiD4jgF6vZ5MnT2Zdu3ZtVB1bq9Wy5ORk9sgjjzDGLGP0Lbfcwnr27MkrDDtTxmw2s379+rFnnnmGV7nevHkzk8lkok+vtnPnThYUFMTeeeedRsssXbqUhYSE8GlhDx8+zAICAuwUzp0pwzFmzBg2btw4F7+JcBgMBnbzzTez1NRUuxRo9ct07tyZ3XPPPfyxO++8k3Xu3Jkff5wp899//zEAbM2aNXyZNWvWMABNzu3FwL///stCQkLYa6+91miZlStX2qVWPX78OAsODrZTOHemzK5du+zG/nnz5rHg4GC7tGJixGQysTvuuIMlJyc3qiBuMplYz5492a233sr3Jw8++CBLSUlxONdsTL28pdfxJjxudHM/1OTkZDZq1Ci7P9v82Xl5eWzQoEGsXbt2rHv37iw8PJxt2LDB7lrNlamoqGB33XUXi42NZUOHDmWRkZFswIABok9nwBhjEydOZADYFVdcYVdHzz33nF25Tz75hAUGBrI+ffqw0NBQNm7cuAbpP5wp88MPP7CIiAg2YMAAlpqayjp27Mh27dol+Hu2hSNHjjAArH379g3akm0O6sLCQjZs2DAWFRXFevbsycLCwuwWY5wtwxhjX375JVOpVHwKBG/g1ltvZQDYiBEj7Oqofg7Eb775hgUHB7PevXuz8PBwNmrUqAaLU82V0el07LbbbmMBAQFsyJAhLCkpiaWkpDTICy82uBRx8fHxDdrSv//+y5crKytjV155JYuIiGC9evViwcHB/CJES8qsX7+eJSUlsWHDhrGIiAg2evRolp+f75Z3bQv33nsvA8CGDx9uV0e2Cy+MWfLeh4SEsF69erGIiAh2+eWXs9LSUrsy48ePZ6NGjWLR0dGsXbt2bNSoUeyGG25o8XUI8RIeHs6Cg4Mb/KaWL1/OlzEajeyBBx5gAQEBrF+/fkylUrE5c+bYXceZMu+99x6Lj49ngwYNYh06dGDt2rVjy5Ytc8drtglucaBXr14N6sloNPLl9u7dy9q3b886dOjA2rdvz1JTU1laWprdtZwpc/r0ada9e3eWmprKBgwYwEJCQppcFBELcXFxLDAwsEEdcYtyjFkWFR577DG7dmLrYHC2DGMWx4dMJrNLmyV2vvrqKwaA9ejRo0E92TpQDh06xFJSUlhKSgpLTk5mKSkp7PDhw3bXcqbM+++/z4KDg1mfPn1Y7969WXBwMHv//ffd8q5toUOHDkylUjWoo48//tiu3NNPP81UKhXr168fCwgIYI899liDlGzNlTl16hTr168fGzBgAEtJSWGdOnUS/QIXY4ytWrWKAWDdunVrUE+2c760tDSWmprKkpKS+H5n3759dtd6+eWX2ahRo1iXLl2YQqHgr3Pu3LkWXccbkTFWp/XuISoqKhrdYzVo0CC71FYAcOLECVRVVaFv376Npphprkx5eTkyMjKQkJCA9u3bN9i3I0aOHTuG8vLyBscjIyPRv39/u2MVFRU4deoUYmJi0KVLF4fXc6ZMTU0N0tPTERYWhi5dukCpFJUEQAM0Gk2D0B6OAQMGNEgLcerUKWg0GvTp06fRFCnNleFCrLgwPW8gPT0dJSUlDY6HhYVh0KBBdsc0Gg1OnjyJqKgodOvWzeH1nClTXFyMzMxMhIeHo3PnzqJvS9XV1Thw4IDD7/r27dtAjfXMmTMoLy9H79697fZetqRMbW0tjh8/jvj4+AYpRcTKyZMnHYYOhoSEYMiQIXbHKisrceLECURERNhpdnDs3r0bJpPJ7pifn1+DLSLNXYcQL3///bfd9gCOjh078tubOHJycpCdnY1OnTohLi7O4fWaK6PT6XDq1CkEBQUhNTXVK8ScsrOz+RSL9Rk1apTdfIXb9iSXy9GvXz+H+4ydKcMYQ3p6OgwGA7p162a3tUys/PPPPzAajQ2Op6SkNEhRlZeXh4sXLyI1NbXRvbPNlSksLMSpU6dw+eWXe0U7AizbyM6dO+fwuyuvvNKuLdiG8/br18/hGO1Mmerqapw7dw4ymQxdunTxivRz//77r0OBrqSkpAbz4/z8fGRmZqJjx46NatI0V8ZsNiM9PR1yuRy9e/f2ChskPz8fZ86ccfhd/d+EyWRCWloar09T//fS2Bx0yJAhdn1Pc9fxRjxudBMEQRAEQRAEQRCEVBGNkBpBEARBEARBEARBSA0yugmCIAiCIAiCIAhCIMjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAgyugmCIAiCIAiCIAhCIMjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAgyugmCIAiCIAiCIAhCIMjoJgiCIAiCIAiCIAiBIKObIAiCIAiCIAiCIASCjG6CIAiCIAiCIAiCEAilpx/AFZjNZuTl5SE0NBQymczTj0MQBEH4OIwxVFZWIjExEXI5rW+7AhrrCYIgCLHh7HgvCaM7Ly8PycnJnn4MgiAIgrAjOzsbSUlJnn4MSUBjPUEQBCFWmhvvJWF0h4aGArC8bFhYmIefhiAIgvB1NBoNkpOT+fGJaDs01hMEQRBiw9nxXhJGNxdmFhYWRgMxQRAEIRooDNp10FhPEARBiJXmxnvaaEYQBEEQBEEQBEEQAkFGN0EQBEEQBEEQBEEIBBndBEEQBEEQBEEQBCEQgu7pNhgM2LBhAz7//HMcPnwYS5cuxfTp0xuU27hxI95++21kZWWha9eueOutt3D11VcL+WgEQRCiwWw2Q6/Xe/oxiBbi5+cHhULh6ccgCIIgvASTyQSDweDpxyBagKvGekGN7k8++QR79uzBSy+9hOuuu87hpHLXrl245ZZbsHjxYkyePBnLly/H+PHjcfDgQfTp00fIx/MpjueoceBiGe6/vCMJ+zSC2cyw4r+LGNIhCn2Twj39OKLlVL4GezJK8MDlqZDLqS05gjGG1Xuz0Lt9OAalRDZZVq/XIzMzE2az2U1PJx4MJjO0BhNCVEqv7ZciIiIQHx/vtc/fWv777z98/vnn2Lx5M2699VZ89tlnTZavqKjAJ598gg0bNqCgoADdunXD888/j/Hjx7vpiX0DdY0Bq/ZexG3DUtAuROXpxxEtf54shN5kxoS+CZ5+FNFSpTPi2z2ZmDYkGXFhAZ5+HNGy40wRNLUG3DigfZPlGGMoKChARUWFex5MRDDGUKUzItBfCaWXzhtdMdYLanTPnDkTzz77bJNl3nvvPYwbNw5PP/00AGD+/Pn45ZdfsGTJEnzzzTdCPp5P8ezao8goqkK3uFBc0bWdpx9HlGw7WYg3fjmJ/skR2Pjk5Z5+HNEy58djSM/VoEN0MK7rFefpxxElu84W49WNJ9AjPhRbZl7VaDnGGPLz86FQKJCcnAy53Ld2/FwqrQYzmNAuPABhgf6efpwWwRhDTU0NioqKAAAJCb4zeT98+DCee+45PProo8jMzERNTU2z57z22muIjIzEF198gfj4eHz//feYOHEifv/9d4wdO7ZF96/SGUHa5Y753/Zz+GZPJiq1Rsyd0NPTjyNK1LUGPLb6EBiAEZ2iERnsXX2Pu/hsRwY+23kexZU6vHEjOcEcUaM34tFVh2AwmXFZp+gmFyc4gzs2NhZBQUE+tVBbUqWDoUqH0AA/xEcEevpxWoQrx3pBjW5nGtQ///yDN954w+7Yddddhw0bNgj0VL5HUaUWGUVVAICssmpcATK6HbH3QikAiyFAOEZdY8CJPA0AIIvqqVH+q2tLWaU1YIw12hcajUbU1NQgMTERQUFB7nxEj2MyM+iYDjKlAlD4IyDA+zwpgYGWyUNRURFiY2N9JtR84MCB+O+//wAAq1evduqc//3vf3a/g9mzZ2PTpk1YvXp1i43uQk0tEmNadIrPsC/T2vcQjjmcVQ6jmQEAcitqyehuhH2ZZQCArDJqS41xNLsCeqMlSi27rKZRo9tkMvEGd3R0tDsfURToK42QKf1hUih9eqz3qFtFo9GgsrIScXH23rLY2Fjk5eU1ep5Op4NGo7H7AwCjyffCM53hQGY5///5FVoPPom44QaY8hoDavUmDz+NODmYVQZmmasgX01tqTH217WlWoMJ6trG926ZTJZ25u/ve5O+Wr0RDJbGZPDivptbLPGlPXqt8dA4Oqe6upqfzLSEQo2uxef4ApVaA07lW+ZD+epaDz+NeDlwsYz//7wKqidHaA0mpOVUAKB5Y1McvGidX+c1MSfixgdfW1wHADNjqKmbU/v6WC+KWMb6IZVKpRKMm9k7YMGCBQgPD+f/kpOTAVjCF4iG7K9b+QbIUGoMda0Bpws0/OcCDdWTIzhjEgAKqC05pEZvxPEcNf/Zmd+cL4WZcVTZLGwZTI3392LHF//tXMGaNWtw5MgR3H333Y2WaWyBvYCMAIccuVQBMy2KNoutoURjvWPSctR8v0wLOI1ju4BT4EQ9+eJ4oTWYYGbcAjtr0r4TM674t/Oo0R0aGorAwECUlJTYHefc940xd+5cqNVq/i87OxsAdZ6Nsd9mgKHO0zGHbDy4AJBPq98O2W/rIaC25JCjlyr40EWAfnONUaMz8v+vF/Hq98GDB3H27FlPP4ak2L17Nx566CG89dZbuOKKKxot19gCO3m6HXPQpn8urtLxYa+EFZ3RhKN1HlwAyKMFHIfYGpMarRHVNv01YcFoMuNwlo2nm9qSQ6p11gV2xhhMZnEa3ZmZmfy2KaHwqNEtk8kwdOhQ7N692+74rl27MHz48EbPU6lUCAsLs/sDgEI1DcT1UdfU8+DS6rdD9tl4cAHyEjiivgeX2pJjqC01j224GSDurUEvvvgiiXq6kP/++w8TJ07ErFmz8NJLLzVZtvEFdlrIcsQBmwV2xix6LoQ96blqu8UIZ7yTvojtAg5A45gjThdUotpmHKM5kWNq9PYLNmINMf/hhx/w1FNPCXoPj4eXP/PMM9iwYQM2bdoEo9GI5cuXY9++fa16cRqIG8LtwQ32t2z6z1PXem1oh5BwYdNcPZF3siFH6jy4XB0VarSiNpY8RYO2RKvfDajVW8LN5HXhWkYzg1mkq9+E6/jvv/8wbtw4PPXUU3jzzTebLd/YAns+RbU1wGAy40i2xej2V1qmdmQoNYRbmODqqKl9uL6K2cxwMKt+W6I5UX24hQmqo8ZhjPGebi4825u3k7UVQY3uXbt2ISIiAhEREQCARx99FBEREXx6MACYOnUq3n//fTz44IMICAjAq6++ihUrVuDyy1uesqmAQs4awBkAY3vHAwC0BjMqanxH8McZbD244/pY6okG4oZwHtzRPeOglMtgZkBRJf3mbNEbzTh8yTJZsbYlaQ7Eubm5+Pvvv3Hx4kWH3585cwa7du1CTk5Og+/2Hz6CPTv+xOF/d+LU8WOoqal2uPrd1D3MZjMOHz6MnTt3NtiiBAB79+7FhQsXoNVqcfjwYRw5cgRGo/2Ke1paGrZs2YKtW7fi0KFDqK4mRX5XsXfvXkRERODo0aMAgP3792P8+PF4+umn8fbbb7fp2kVkdDfgRJ4GWoMZkUF+GJAcAYBEwhzBGUqju1u2MJKh1JCzRZWo1BoR7K/AsI5RAGjx2BEH6hYmuLYk1XmjWq3Gf//9h+PHjzcYQwFLKrSdO3fi9OnTMJvtx/HMrGzs2r4Ne3Zux6kj+1FeVupwO1lz98jIyMBff/2FjIyMBt+dO3cO+/fvh9lsxtmzZ/Hvv/+isrLSrkxubi62bNmCLVu24J9//nE4Z3AHgqYMu/zyyx1OllQqld3np556Ck899RRqa2tbpWTKUUidZwM4Q+mKLu2w+1wxSqr0yFdrKUWGDZwHNzE8AEM6ROGnw7kUJuQATpDvsk5ROJxVjtyKWuSrtUj0spyLQnI8twI6oxlRwf64oks7ybalZ555BsuXL8fAgQORl5eHbt264fvvv0doaCiKioowbdo0ZGRkoHPnzjhx4gSuv/56LF++HH5+fgCAbVu34e+dO6BSypGbl4fC/Dx8/c1y3HLTjU7dIyMjA5MnT0ZlZSUSExORnp6OV199FXPnzuXPnzlzJsLDw5GRkYGEhAScP38eCQkJ+PvvvxESEgIA2Lp1K7Zv3w4AyMvLQ25uLlauXImJEye6sTa9E24xvbq6GjKZDBs2bEBKSgrS0tIAWNLhqdVqfgL15ptvQqPR4JNPPsEnn3zCX2fEiBH4/fffW3RvKf6m2gpnTA7uEIUQlSXKhurJHlsP7uT+idhyogCFah3MZga53PcErhqDiwYY1CES7evGd4qasIcxxv/muLZUUqejwHm+pcAPP/yARx55BN26dYPZbIZOp8N3332Hvn37wmw245lnnsGqVavQt29f5ObmIioqCj/++CM6duwIADhyPB2rl30BhVyGmqpKnEg/jieenonF777t1D20Wi1uv/12bN++HX369EF6ejquvfZafPfdd3zqsRUrVmD9+vUIDw+HyWRCdXU1iouLsWXLFgwePBgAcPLkSXz44YcALJmzjh07hjlz5mDevHnurE5hjW6lUskPzM7QFoMbIE93fap1RqTnWjy4w1KjEB8eUGd016JXYpiHn048cAsTw1KjkBBh+RGTh8AendGEI5cqAADDU6Pw8+HcOqO7FkCkR59NTPBtqWMUEsJbPllhjKHW4Jl0dYF+CqfUOc+fP4+PPvoIZ8+eRdeuXQFYjNfKykqEhobinnvuQefOnbF9+3YolUqo1WqMHDkS//vf/zB79mwwxnDXwzNw+0NPomtsCPLVWqxcsRxPPvYoJk8YD5VK1ew9HnnkEaSmpmLDhg3w9/fHli1bMGHCBFx77bUYNmwY/6zHjh3DwYMHkZSUhMrKSvTs2RNff/01Zs6cCQCYM2cO5syZw5dftmwZHnzwQWRlZTVYHCbscbSgbpuJZMSIESgvL0doaCgA4Pvvv3eYakWpbPk0pEpnQqXWgNAAvxafK1U44auhHSNRUZemkAwle84XV6GixoBAPwVG94iFTGYRcSyt1iMmlH7vHJwxOaRDFH+MIgLsySmvRaFGBz+FDKN7xMJfIYfeZEahRovkqObTgnnDWA9YNE3effddPP744wAs439ubi4AYMmSJdixYwfOnz+P6OhomM1mPPTQQ3jsscewZcsWAMDwy6/G5wNHIiZUBaVchn8OHMVdN4zBbTdPwdChQ5u9x+LFi3HgwAGcPHkSSUlJyM7OxvDhw7FkyRI7TZDTp09j8+bNmDBhAhhjmDZtGl5//XX8+uuvAIDrrrsO1113HV/+5MmTGDZsGCZOnMg/hzsQ1Oh2N7Sqa4+tBzcpMhAJ4YFIz9XQQFwPzoM7LDUaiXWGEinh23M8R817cDvHhCAhIhDIKqffXD322yzgJNYt4OTX6Sg4M8jVGkzo9dpWQZ+xMU7OH4cgf+eHhMLCQt4gHjduHADg0qVL2Lp1K7766ivs3LkTjFnSgwwcOBBbt27F7NmzoTWYYGIMuppqnEjLwOmLuYiKikZRUSEyMjLQu3fvJu+Rk5ODHTt24N9//+Xzm48fPx4jR47EypUr7Yzu2267DUlJSQAs2TIuv/xynDhxwu49qqqqcObMGZSUlCAmJgaFhQ2fg2hIcwvqCoXCrkxwcLBL71+g1pLRXYfF62bxTg7pGIWTeZbFdjKU7OE8uANTIhDor0BMiApFlToUqLVkdNvAtaWhHSORU+eAoHmjPdwiV9/24Qj0VyA+PACXympQ4KTR7S1jvUwmQ1FRET+H6dy5Mzp37gwAWLp0KcaMGYMjR47wY33v3r2xevVqGI1GKJVKVOtNMJlMyDp3GgUFBSgor0ZC+yT8+++/vLHb1D1WrVqFRx99lB/Hk5OT8cgjj2DlypV2Rnfv3r0xYcIE/nrjxo3DO++8Y/cuJpMJp06dQkFBAYxGI1JSUuyewx1IyuguqdLBaDJDqZBOaEdbsBqTUZDJZEgMtxoBhAVbD+6w1CjEhlkG3ooaA2r1JgTWiWH5OrYeXNu2RCkyrJjMDIfqJivDUqMQF2apI05HQSpbOjp37oy3334b119/PVJTU3HNNdfg3nvvxaBBg/j9Vt9//30DDyY3iFbpTPjx/77FB2+9hpSUZES1i4VZVhcOW1CA3r17N3mPzMxMAOCNcY7u3bvz33G0a9fO7nNgYCBqa63939KlSzF79mwkJycjPj6eD3/nnoMQL/lqLbrGhXr6MUTBhZJqlFbroVLK0ad9GMqq9QDIUKoP78Gt26ecEB6Aokod8tS16JsU7slHEw25FbXIraiFQi7DgJQImBjl6nbEAX5hwtKWOKNbalGSn3/+OR5++GF89dVXuOaaazB16lTcdNNNACwe6eDgYFy4cMHunNGjR6OyshIhYeE4dPAA5jxxP+TMjJQOHQGlCqXFxSgoKHDqHpmZmQ7H+vqRVs2N9QcOHMD06dNhNBqRmpqKoKAgFBUV2T2HO5CU0c0JO9EeUwtcTuVhqdEAgPhWhLtKnfRciwc3OtgfnWMsnphgfwWq9Sbkq2vRKSbEw08oDg5ctHpwAcsAA1DGAFtO5WtQqTMiVKVEz4QwKOQyRAf7o7TaeR2FQD8FTs4f54andXxvZ3nppZcwa9Ys7N27Fxs2bMDw4cOxZcsWfq/0hx9+iD59+jg8t7C0DO+8PBtfr1qD+26fjtJqHU5l5uPKvql2mRUau0dcXBwAi/CK7UCrVqsRFRXV4H6NodFo8MQTT+DHH3/ElClTAADl5eWIioqiDA9eABkBVjhjsn9yBFRKBRL4BXYa6205kGUNwQeAhPBAHMtRU8SWDVxb6pMYhiB/Zau2SfkC9RdwOEeEs23JW8b6cePGISsrC8ePH8e2bdvwyCOP4ODBg3j77bcRFBSEe++9l9+uVR91rQEL572I0deNx6plX0JvNOF0QSVum3C1neBaU/eIjIyEWq22v65ajcjIlm1rfOaZZzBp0iR8/PHH/LHBgwe7fayXnEuYBmIL9T24AKzhruSd5LHdzy2TySCTySyh06BBhsNktoYucm2JG4jJ022FCy0f0jESijpRnoSIlkWXyGQyBPkrPfLn7B4vjUYDk8kElUqFUaNG4YMPPsDAgQOxa9cuDBgwANHR0fj2228bnFdWVgbGGLIu5cFkMuHy4cMBAP4KOXb+8bvT9+jSpQuio6P5vVqAJUR8x44dGF53TWfIz8+HyWSyCy3btGmT0+cTnoX6HisHbMKBAfBGNyfsRFiMoeyyWshlwMAUSz1xi8dSzTDRGg44iAYAgEqtEVW6hqrSvkh5tR7niqoAAIM7cG2pZfNGbxjrGWMoLy+HTCZDv379MHv2bDz88MPYsWMHAGDMmDFYuXJlA8XysjJLG6rWGVGQl8uLmSkVcuRcykLGmVPgMoQ2d4/LLrvMbqwHLON0S8Z6AMjOzsaQIUP4z5mZmUhPT2/RNVyBpDzdABlKHNweXFsPbnwYhZfXx3YPLkdCeAAyiqokFybUWk7la1Bl48EFYONJoTrisLalaP5YfJhFR0FKqUROnDiBRx99FPfccw+6du2KtLQ0HD9+HEuWLIFKpcLnn3+OO++8E2q1GmPHjkVJSQk2bdqE0aNH46mZzyEhpQM6pHbGU08+hkcefhjpJ07ifx995PQ9AgIC8M4772DmzJmoqalBx44d8cknnyAuLg4PP/yw0+/RuXNndO3aFQ899BAefvhhnD59Gv/73/9cXV2EQJB30kp9r1tUsD/8lXLojc4LO0mdg3Ve7l6JYQhRWaa+5IhoyMF6CzjBKiXCApTQaI3Ir6ilLR0ADtUp4HeJDUFUXQRbogRFeBljGDp0KKZNm4bBgwejvLwcK1eu5AXPFi1ahCuuuAKjR4/G/fffD7lcjn/++Qd5eXn45ZdfUKM34fKrx+Cjxe+hXVgQdDod3njrbSgUSpjrPMzN3eOtt97C8OHD8dBDD2Hs2LHYunUrdu3ahX379rXoXcaPH48333wTCoUCOp0OCxYsaJWIZ1uRnqebOk8AVg/u0Lo9uAD4sPt8tZbCJ2HvweX25QBWg5ImdRa4tjTYgQe3qFLnML+yr8EYs9nOYQ174gbiAgktTowYMQLr1q1DUVERVqxYgYKCAuzatQtXXHEFAGDatGk4cOAAgoODsXr1aqSnp+O5557DnDlzUK2ziKus+ulX9Oje3XJ+fh6WfrcBI0ddi8ioaKfu8cgjj2DdunU4deoUvv/+e4wdOxZ79uyxUxwfMWIEv4+co2/fvujfvz8Ai2r29u3b0b3uOXJzc7F9+3aMGzfOLmx96NCh6N69u6B1SrQc8k5aKKrU4mJpDWQyYFCdB1cmk1GIeT0OZDZU5Oa8kzTWW1DXGHCm0JLfeHAH2zkRRf/ZYpspgINzaklJhFcul+PAgQMIDw/HDz/8gD179mDx4sW8gFmXLl2QlpaGa6+9Fhs3bsSff/6JYcOG4aeffoLJzFCrN+GFN97FAw88gPXr12PXrl14ef67uOOBR9CpSzen7tGnTx8cOHAAAQEBWLVqFQIDA3HgwAG77WvdunWzE1AFgMTERIwePZr//NFHH+HBBx/kn+ODDz7A008/bTe2d+rUCSNHjhSsPgHydEsWRx5cTiRMZzSjvMbAr9D5Ko48uIB1IJaSd7It2ArycbQLVsFPIYPBxFBUqeNzefoq54urUFYnZNS3fQR/nAtflNpiYPfu3bFw4cJGv+/fvz+fE9OWar0lRUrXTh357xljOJGnweerf0Q3Gy9Kc/eYOHFik/m0P/jggwbHZs2aZfc5OTm5wXNyqU44FixY0Og9CM9BhpIFTryxe1wowgOtau4J4QHIKq2haKQ66gtfAdZ9uLSAY+HwpXIwBqS2C7ZTc0+ICMCZwkpqS3UccJBSjXNqSW3bS2RkJF588cVGv4+NjcWrr77a4HiV1gAGhtCQYLz80ku88y+rtBojrhlrp73V3D169eqFTz75pNHv77nnngbHRo8ebWd0BwYGYu7cuXZlJk+ebPd5+vTpmD59eqP3cQXS83RTpwCjycyHv9gaSiqlAu1CLB0p1ZPVg2u7BxewFcSgOmKM8Qs4w23aklwu49W5qZ6sbWlQSiT8ldZuNZE8BDyMMVTX7QkMsckKIJPJ4FeXccJIUROEk9BvyoIjYxKgvscWjdaA0wUaAJbxnoPTbynUaGE2U/Sf1Zi0F6kiT7cVrcGE47kWYS9HEZKko2CBW2APrreHnBvrfTVCUoJGN3UKp/IrHXpwAZu9uBJbjWsNtvm5bYmnsDyejKIqlNcYGnhwAWtbktrKbmtwFFkC2LYlWpgwmMwwmMyQQYbAejlC/RSWQVlvookv4RxVOiMqtQZPP4bH4fYq2xqTgG2UDfU9Ry5VwMyAlKggfrEYAGJDVZDJAIOJoaRa58EnFAeOttsBNG+05Vh2BQwmhthQFZKjrN5aTkcBsCzi+DrcAnuQyl4pnRvrDT461kvQ6KYBZv9Fxx5cwKbz9PFOgTHGewjqG0qJpF7Ow7Wl+h5cwLr67ethno1FAwD23iZf11Go1llWvgP9FQ36JX8fX/0mWkZYgGXRxtf76GqdESfyLB7cBoYSjWM8By86XpjwU8gRWxdG7evjmM5owtGcCgAN64nmjVYOZlkXJmw9uKSjYIUxhhobT7ct5OmWGCTs1LgHF7AxKH189ZvbgxvgJ0ff9uF233Edp7rWgBq9b6fIaMyDC1jF1Hx9P1xOeS3y1Voo5TI+FQ1HXLi9joIvw618B6sa5gj1U/r2QEy0DD7Vk4+PY0ezK2AyM7SPCLTbIwkACWFkAHBYha8ajmPxlP4SAJCeq4a+LuNNartgu+/48HIf/70BtinVGuaJpgxBFrQGE8yMQSGTIcDP3swko1tC+ClkYMxiePsqtl43R4ZSPClzA2h8Dy4AhAb48SlFfHnCwhjDvguOPbiAdVLn622J+731SwpHoL+9QWnRUbAIFvr6QFzdyMo3QCFnRMuICyPvJNC0AcAtivryGAYAeqMZR7MrANirTXOQhosFLvJvSMfIBnmcEyJorAcsGW8OZTkOwQcoSpKDG+uDVA1zgluNbuaT0X+SMro5dW5fXo3j9uA68uACNvtwfXyAaWphAqA9TIDFg1ugcezBBazhi76u8u4oP7ctVi9B4/Uk9cHHYDJDZ+QGYgeebi9e/Zb6v50YoQwTFg7yhpKDRdG6Oiqp0vG/PV/kRJ4aWoMZkUF+6BwT0uB70nCxcLCJaABuPlTp4zoKZwsrUak1IthfgR7xDfOVO6Oj4AvjBR/V5t9wrFfWLbAzxmD0MvFCV/zbScrojg+lVSbOgzswuaEHFyAVSsDegzvMwQAD2IQv+vDiBNeW+jrw4AK2CxO+W0cAHObntqUpMTWFwlKver1eoKcTB9wgHOCngFLesF/yZqO7pqYGAODn59dMScJVxIWSd9JoMuPwJc7r1rDviQzyg4oTdlL7bvQftzAxuENUA68bYNXd8OUFHLOZ8XuVHS3gBPkr+XR0vjx35BYmBnWIhFLRcByzpqBrWEfc+MCNF1LFdj93kKphVJvcJluJt433rhjrJZWnOy5cBRTqfDqM02kPbp2wk6NBSOo058EFrAOxL4dTOcrPbQu3gFNcZdFR8HMwCEmdIo0WmSXVkMkskzpHJDbhSVEqlQgKCkJxcTH8/Pwgd2CQSgF1lRbMqEeAvz+02ob1YDKbwYx6GAFU19Q2EFoTI4wx1NTUoKioCBEREfwCCiE85J20ZCmp0ZsQGqBEt9iGXjdO2OliXa7ulOggDzyl57Hu53Y81ltDp3133ni+uAoVdRGSvRPDHJZJCA+AutaAfLUW3eIatjdfgA/Bb2Ssb0pcVqFQICIiAkVFRQCAoKAgSc6/9UYT9DotZDIZ5CYDtNqGukhyswHMaEJ1TS3kZvEvVrtyrJeY0R0AQOOzA3FTKsoccWEBkMks+5zKqvWIrsvb7Uvsa2IPLgelekKzbSk62B9+ChkMJoZCjRZJkb43qeO83D3jw3hPQH3im4gukclkSEhIQGZmJrKysoR7UA9TqNHCYGIwBfujutTxb66kohZmBsiqVF61gBMREYH4+HhPP4ZPEU8iYXY5leWNLFIlhAfWGd2+WU+MNe3BBSj1JWA1JgcmRzba9yaEB+B0QaVPR7YdbGYBp7l5IzdOcIa3FKnRG1FWbYC/Uo6sGsf2RWmVHrUGE/QVVv0kb8AVY733vK0T8GqdPtp5Zpc178H1V8rRLkSF4kod8tVanzS6m1J350j0cRGaIo0WF0trmvTgyuUyxIcHWNqd2keN7mYiSwDbtuR4IPb390fXrl0lG2KuqdXjoZ/+BQCse2wkooL9HZZ7c/l+ZJXVYOHN/TG4kUmN2PDz8yMPtwfgsgLkV9T6bMSWNT93432Pr4upXSipRlm1HiqlHH3aN+bBtSyKFmq0MJtZowsYUqY5YxKgFHS5FbXIU2uhkMswICXCYRlOSK2kSg+d0QSV0n5s4BbZY2NjYTBIc2/8km1nsfl4EaYPScaj/VIdlvltRwZ+OpyP6UOT8ehVjsuIDVeN9ZIyuuN8XK6f87o15cEFLOGunNHdx4HYmtThVnUb8+ACzolfSRlnPLiApZ6yy2p9dj9cc9EAgHM6CnK5HAEBAa59OJHwzwU1citN6BQTjMRoxxNfAFCqApBbWYncKiMul2hdEK4hPszym6rWm6DRGpvso6QIY4wfxxwJX3Ek+HjEFmdM9k+OaGAAccSGqiCXAUYzQ0mVDrFhvtf3HHBmAcfH59dcW+qTGIYgBxk4AKuOgs5oRqFa1+iWDoVCIdnF2h0Z5citNKFnUnSjc5qw4CDkVppwvlQv2XlPY3hPDJ8T+HrImTMeXMA2bZjvdZ52e3CbWtX18cmKMx5cwFpPvtiWKmr0OFNYCQAY2qTRba+j4GtwCzhNLUwAlIKOcJ5AfwUigiyGti+2l0tlNSiu1MFfIUe/pMYXzn1dOJVbmGhMMBUAlAo5YkN9d+5YoNYiu6wWcplFIKwxfN3T3VSudw5ORwHwzbljebUe54qqADgbgeN7dSQto7uusRdX6aA3epcqnitwxusGWAdiX/ROcgZAr4QwhAU04cGtG2A0WiOvvOxLtLgt+WBEwMGL5WAM6BwTjHZNbNPgInA4HQVfY5+zCzg+PBATLcc6jvlee9lvo0sS4Ne4x8yXDQDA6p10lMfcFl/WcOGMyV6JYU3ur03wcfHCptLz2eLLIo+cfkKX2JBGt5EBvt2WJGV0Rwb5w18hB2NAUaVv/WMW2u7BbWaA8eVUT856cENUSoTWDUC+NhBX1OhxuqB5Dy7g25M6a6qwpiNLOB0FwPcGmWqdEem5agDN1xMJGhEtwRpl43vtxVkDwJe3SRVVWudETXlwAavuhi/2PfzCRCPaLRy280Zfi9hS1xj4qLbmFnASfXgx0BltAKChjoIvISmjmxN2AnxvcssZkz3jm/bgAr4dJsQb3c1MVgDfFaHhQvI6NePBBXx74mv14DYv+uWrwnyHL5XDZGZoHxGI9nX9TmM0lW6FIOrjy4vH3B7c5ie3ljoqrdZDazAJ/lxi4lDdONbDmTkR1/dofK/vcUYbALDWUbXehEofi/47fMkS1dapnRNzogjfnRMdcHIBh9NRMJgYSqp17ng00SApoxvw3dAOZz24gO+GdrTEgwvYpHrysdVvThugudBywHe3KrTEgwvY6k34loHQmn7JFz0ERMvx1XGstEqHC8XVAIDBzXhwI4L8EOBnmeYV+phBaTUmm18UtUbZ+Fbfo9EacLpAA6B5D66tjoKvzYkOOLlNAbDOG30takJrMOF43ZyouQUcOx0FH6snyRndiT66+u3sHlzA3jvpS2FC3CDc3B5cjkQfndS1yFCqW9Ut8TEdhZZ4cAFrKhFfa0vO7ucGrBE4lVojqnzMk+KNaDQafPbZZ5g4cSIWL14s2DmN4asiYdy+yW5xIYgIanzfJGARdkr02XpqXpGbw1ejbI5cqoCZASlRQbz2SFNYf3O+Nb92djsHYJ03Fmh8q46OZVfAYGKIDVUhOar5OZGvarhIzuj2xdDp8mrnVJQ54sICIJMBepMZpT4k7OSsujuHLw4w1Toj0vMsK9/O1FN0sFVHwZc8KS1Z5AJ8MxRWZzThaHYFAOeM7hCVEqEBFh0FX1TD9ybOnDmDHj16IC0tDdnZ2Th+/Lgg5zSFr0ZGWMXBnOt7fFEkrFpnxIm6ccwZT7evRkg6KzTH4YvRJTqjCUdzKgA078EFbNqSj3lwucXAoR2jIJM1n+veF9sSIEWj2wcHGK6xO+vB9VPIEVNXzpdWdvc7kZ/bFl/sFFrqwZXJrDoKvrQfriXRAIBvTurSctTQG81oF+KPTu2CnTrHF39z3kj79u1x9uxZfPHFF4iNjRXsnKbgFth9NWLLGWMS8M2IgKPZFfw4xr1/U3CaG4UaLUw+JOzkTBosW3yxf07PtY5jHRvJu20LF1niazoKLQnBB3yzXwIkaXT73j9kSz24gHXC4it7mOz34Do5wPhg+EtLPbiA7+2H0xlNONICDy7gm+HltgsTzqx8A76ttuxNhISEICQkRPBzmoLrd2r0JmhqfWM7Qq3exI9jzYkVcST4oOftgJMqyhwxIRZhJ6OZoaTKN4Sd9EYzH4nk/AKO70VscYtcQzo4N45FBPlBpfQtHQWTmeFQlnOCfBy+uIADSNLo9r1/yFYZSmG+VU+cBzcpMpA3gJrDFycrLdmDy+FrvzmrB1eFVCc9uJyQWoHad1Jk7GtBpgAOXw0ZJhyj0+mg0Wjs/jgC/BSI5ISdfGT/5NHsChjNDPFhAUiKdHIc88HF45bswQUswk7cnmZfWTw+kaeG1mBGZJAfOsc4txjmi06tlobgy2Qyfo7pK2JqZwsrUak1IthfgR7xoU6dY11g943fG4fS0w9w8eJFZGRk2B3z8/PDqFGjWnU9btLGCTv5KyW3rmBHld0e3BZMbn0shVFLw4EBqwplpc6ISq0Boc2kHfF2tIaW7cHlsA3z9AVsF7mc9eDa6iiU1eid2gbizRhNZhxyMo+5Lb4qaEQ4ZsGCBXjjjTca/T4hPBDlNQbkV2jRIz7MjU/mGWwNAOejR3xrrDeazDh8qWVeN8BST/lqrc/0PdzCxGAnPbiA723fNJuZ0ynVbEkID0BmSbXPiKlx/dKgDpFQKpyzuXzNBuHwuNG9evVqLFq0CEOHDuWPhYSEtNrojgr2h79SDr3RjEKNFslRze/B8GYOZ1n34DrrwQV8r/NsjdeNE3aq1BpRoNZK3ui23YPrrAcX8L3wcq4tORuSBwD+SjnahahQXKlDfoVW8kb3yXwNqvUmhAYo0d3JlW/A1tPtWwMx4Zi5c+fiueee4z9rNBokJyfznxPCA3AyX+MzE7cDLQzhBHzPO3kyX4MavQlhAUp0jXV+O4Olnip8pu9paQg+YC9UzBhz2lj3VjKKq6CuNSDQT4Feic4v6sXzcyJfaUvWEHxn4cZ6TkdBIZd2W+LwuNENAD179sSff/7pkmvJZDIkhAcgq7QG+WrpG92tCS0HfGsgbq0HF7CIYpzRViJfrUXXOOeNB2/Eqg3g/Mo3YOOd9IH9S6314AKWVCLFlTrkq2vRNylciMcTDfszrQI9LRlMudVvUi8nAEClUkGlanyBypdCp01mhsNZXNh0CwylusltWZ2wU4CfQpDnEwsHbELL5S3pe8J9p+9hjPECvM6G4APWbVI1ehM0WiPCA6XtiOAWJgamRMDPSQ8uYBVT852oiZYv4MSGBkAhl/E6Cs6krJMCooi91uv12LdvH44dOwattu2N1Je8uK0Jmwasap2+UEet2YPL4UuTutZEAwC2nm7pDzCcBzeshR5cwLcWulqjDQCQkJqUOHHiBMaPH49z584Jdg+uvfhC33O6QIMqnREhKmWLQunDA/0QWGdo+4IR0NI9uBzxPhRlc6GkGmXVeqiUcvRp73xbCvS30VHwgTlRS7UBOHwpTV9uRS3y1Foo5DIMSIlw+jyFXIbYUMuCqi/MiThE4elOT0/HE088gYqKCpSWluL999/HQw891Gh5nU4Hnc6qMGkrrgL4zuS2LR5cbr9yoVoHs5m1aEXY2+A8uC3Zg8vhK/vhjCYz70VpqQfXl3QUWuvBBXwnbZhlH1xrjW5LHfmKjoI3M378eADA0aNHcerUKYwfPx5xcXFYsWIFAKC8vBxbt26FWq12+pyWwnsnfWDvJGcADOoQ2aK+RyaTISEiABeKq5Gv1qJjCxeevQnGWrcHF7BmmPClhYn+yRFQKVsW+cDrKKilr6PQmhB8wNap5TttqU9iGIL8W2ZScjoK+RW1GJAcIcDTiQ+PG90jRozAxYsXkZiYCAD4/PPP8cgjj6BHjx644oorHJ7TvLiKb6Q1SMtRQ29qnQc3NtSSIkNvMqO0Wo+YUOnuMeXyc7fUAAB8x/PWFg+uL+kotDayBPCd6JKM4ipU1Fj2wfVJbFkYfbBKibAAJTQ+oqPgzcycObPBscBAq65Inz598Pvvv6Nbt25On9NS4n0owwRvAHRomQEAWOZEFqNb2n1PVmkNSqp08FfI0bd9y/qeeB+ZNwItz/VuC6+jIPHfXL66FjnltZDLgIEpLYyaCPMNxx9gm5+7tfPrCp+oJw6PG93XXnut3efHH38cn3zyCdavX9+o0e2MuAog/QbfFg+un0KOmFAVCjWWPaZSNbrt9+C2vFOI95EURm3x4NrqKORV1ErW6G6LBxewRpdIfbLChZYP6hDRqqiHhPBAaLSVyPMBHQVvhvNaN0ZERESDMs2d01ISw31D2MniwW3r5Fb6cyKujvolhbd47zrXlgordZIXdjrYlrbkI4vHXGRJr8QwhKhaZipxC+y+oKNwsI0LOID025ItoowDbdeuHfLz8xv9XqVSISwszO7PFl8ZYFq7b5LDF+rJzoPbigm8rwhitL0tcWGe0q2njOIqlHMe3BZ6UQCLkBog/ZzCfDRAx5ZtU+AgMTXCWbhF0VqDCepag4efRjhyymtRqNFBKZe1KgzTVya3rd2DCwAxoSoo5DKYzAzFlbrmT/BSiiq1uFhaA5kMGNRCDy7gG/NGwGZhogWK3By+oqOgrjHgTGElAEvquZZiq4bvK3jc6Lbd7wUABQUFOHLkCPr379/qa/rC3kmjyYxDWa0PmwZ8IwzfNhy4NfvWfaEttdWDC/iGoBG3MDG4Q2SLlEw54nl1XC3MZubSZxMLjDE7FfzW4EvCfETbCPBTICrYH4C0++iDWXX7JtuHI9C/5V4zX9kmdSCrdXtwAYuwU1xdxJ+UI9sO1S1MdI8LbZX6uK8s4LRWGwCwRv8B0m5Lhy+VgzEgtV1wq6JlfSUq2RaPh5dfd911GD9+PAYOHIiSkhIsXrwYSUlJePzxx1t9TU4Qo6RKB53R1GKhCG/gRJ41F2VrPLiAzUAsYe/kPpuw6dbAdQpVEhZ2Oldkswe3FR5cwDfSrexvY1uKCwuATAYYTEyyOgqXympQqNHBTyHDwBYomdqS4CPRJYRrSAgPQFm1HvnqWvRMkKaw0/7M1odwAr4xuS2t0uFCcTUAy8Joa0iICESeWivpvmf/xbaNY77giNBoDThdYBFobqkKPkdCRAAulFT7RFsa0trfmw84/urjcU/39u3bERoaiv/7v//D7t27MWPGDBw5cgQRERGtvmZkkB9UdXsJizTSDBOyNQBaqzyeIHERGld4cDlhJ0C6gwznmRzUoWW5KG2xrupKs45c4cH1U8gRE8KlyJDmIMMtcvVLimj1PjZf0VEgXIMvGJRt2YML+MY+XC7vdLe4EEQE+bfqGnzfI2EjwBqC3zpDKdEmaoIxaUZsHblUATMDUqKCWp0/2hfE1A62cQEnoZ6Ogi/gcU93aGgo5syZ49JrcqEdFyUs7NTWPbiA7d5JaXYKrvDgApbICU1BJfLVWnSToLDTvjbuwQWk7510hQcXsHhSiip1yFdr0S/Jdc8nFtqi7s7hKzoKhGuQeuh0ebUe54qqALTFo2Spo/Iag2SFndpqAABW3Q2p9j1VOiNO5Fm2dLa2j7bVUdDUGhEeJL3oP5e0JYkvdGkNJhzLtrSloa1sS/V1FLi2JWU87ukWCimLPZjNjN/j1Sajm9uHK9FOgQt9ae0eXA4ph8DYquK6YgFHqgMMZ0z2b4MHF7ARU5NgWwLg4rYkvb6bcD1Sj4zgtFs6xwQjOqR1W1LCApQIqtsLLtXfVVv24HLES3jeCABH6zy47SMC+flfS7HVUZDqb661+bltkXo6w/RcLmWxPzpGt86xaaujINW5Y30kbHRLd+LmKg8uV0eFGmkKO7nC6wZIeyB2mQc3nNNR0ENnNLno6cSD69oSp2AuvbZUoNYiq7QGclnr91QCDXUUCKIpEiUesWUVB2t932Mr7CTFyW2t3oT0XIvXrbVh04DNoqgE6whwjTEJ2Gq4SO83pzeacTS7AkDrt3MA9ukMpQi3yDWkQ8tTFtviawrm0jW6Jex54/aWttWDGxuqgrxO2KmkWlp7312xB5dDygPxPhd5cG11FArV0mpLgDVqou1tSbqhsFwd9UoMQ1gbBAeD/JW8qq6vDMRE65FyVBvQtjRYtkg5DP9odgWMZoaE8AC0j2idBxeQvkgYFyHZ9rYk3eiSE3lqaA1mRAb5oXNMcKuvEy/heSNgqzPRtgUcqf/m6iNZo1vK3klX7OcGAKVCjthQaYbAcB5cf4W8VXlNbZFyp+AqD66UU2S4yoMLSHsg5he52qANwJHgA4JGhGuw9eBKTdhJazAhLacCgOu8k1Lse2yF5trideMy3xRqtDCazC55NrFgMJlx5FIFgLZFTQDSXsCxXeRqU1uy0VGo1Usr+s+yxbXt2zkA6W+5q49kjW6peictHty2h5txSHX/pFVFObzNojGJEg5/4dtSG41uQLpiarYe3LamjEuU6O8NsF3AaZtxAEg7fJFwLZy6sNZgRkWNtLYjpOWoYTAxxISqkNJGQVgpb7k7kNW2lGoc7UJUUMplMDOguEpaEVun8q1pZrvGhrTpWlJ2RLgqBD8s0KqjUCCx7WQZxVVQ11q2uPZKbFuaRqlHKtVHskZ3vEQnbVmlNSiqbPseXA6prn67yoML2ApiSMuTkq+uxaUy13hwAemGnLnSg8tF4EhNR6GsWo+zhRaFZVcsBsbzIo/S6r8J1xPgp0B0nbCT1CZutgZAW7xugHT3TprMDIezrPtL24JCLuMXcfIk5sU9YOPBbW2aWQ6pKnMzZvXgtjUEXyaT2c0dpQTXLw1MaX2aWQ6p2iCNIVmjO1Giwk6uUlHmkKx30oVGN9eWqvUmVOqMbb6eWODqqK17cDmkmoLOlW0pTqI6Ctwg3CU2pNUKy7ZYU/f4xkBMtA2parjwYdNtNCYB6XonTxdoUKUzIlSlRPf4tqf0lGqUjav24ALWHNRSq6MLJdUoq9ZDpZSjT2LrRYo5pCqm5iqdCUC6i4GNIVmjOyLIDwF+lteTUsfgqv3cHFbvpHTqqECtdakHN9BfgYi6XJRS2sO03wX5uW3hU9BJqI7K7Ty4bW9LUtVRcOXCBOB7AzHRNjgjQErjmCv3TQK2BoDUFiYsdTSoQyQUbfTgAtLU3bCkBnVhW4qwRrVJKfqPW5gYkBwBf2XbzSMptiXAdSH4gNUGKarUSU5HwRGSNbotwk7Sm7i5Ig+uLVZPt3Q6BW4Pbu/E8DbvweWID5Ne5+n6tlTnIdBIr466usiDC0jT48TV03AXtyUp1REhHNa0YdLpe84WVaJSa0SQvwI9E1zgwa2rowqJCTu50gAApKnhklVag5Iqi7Bs3zakmeWw1VFQ10pHR8GVCxOArbaUdNpSvroWOeW1kMuAgSlt/81xOgomM5OcjoIjJGt0A9LbK+DqPbiAdSCWknfSVanCbJHaQFzmYg8uIE1FU1d7cAHp7Yer0hn5HLmumqwkSFRHgRAGKfY9nAEwKCUSyjbumwSAUJUSwXXCTlLpeyweXNekweKQ8gK7K4RlAXsdBSnNHV0Zgg9IM4sSF1nSKzEMISplm69nq6MgpXpqDEkb3VLzKHEGgCs9uNzktlCjhUkiwk5CGEpSE8QQwoPLtaXSaj20Bml4UlyVn9sWLhRWKv3SoaxymBmQHBXIL061lQQbHQWNVjo6CoQwSDEywtUGgEwmk9y2jZzyWhRqLMKy/ZMiXHLNRAk6Ily5B5dDajoKRZVaXCytgUxm2argCqxOLWnUEeBanQkO6yK7dH5zjSFpoztRYqvfQhiTsaEBUMhlMJoZSiUQ2uFqFWUOqYUJCdGWbHUUCiWQIsPWgyuMp9v76whwrbo7h62OgpQ0OQhhkFpUG2A1lFw5jkltcYJbPO7TPhyB/m334ALSFJc9kOXaEHxAeovH3O+tR7xrhGUBqw0ipZRhrg7BB2w1XKTTfzeGpI1uqXq6XdnYFXIZYkMtnk4piNDYenCj6sKfXIHUwoSEMLptdRSk4CWw9eBy7+UKpBY14cr83LZwYZ5SS0FHuB5b/RYpbEfIrahFbkUtFHIZBiRHuOy6CRLrewQxAHhhJ60khJ1Kq3S4UFwNwHXbEgHpbZNytTYAYB3rpaKjoNEacLpAA8B1ETiA9BYDm0LSRreUOoXSKh3OFbl2Dy5HgoTS8whhTAK2nm7vr6NKrQEn8ly7B5dDSmJqQnhwAUhK4FFrMOFYNhcN4Np64kLVpeRxIoQhLtyycKwzmlFe4/3CTgd5MdAwBLtg3yQHv3gsEc+bNdTVdXMiTtjJzCyKyt4Op4DfLS4EEUGudERIy1ASIgQ/LEBaOgpHLlXAzICUqCB+H7YrkGKkUmNI2uiW0uSWW9F15R5cDi60QwreSaGMbtu9cN7uSRFiDy6HlDzdXFtylSI3B7cYKAUdhaPZFdCbzIgJVaFjdJBLry01rxwhHCqlAu1COGEn728vvAHgwn2TgM3isQTqqLxazzsiXOnBldsJO3l/PR10sdAch5S2b1bpjDaOCNe1JZlMJqnFCVfrTHCQp1sicP+QZRIQdhLKmASAhDDOO+ndDd7Wg+vqeuJCXWskIOzk6vzctlijJry7Ldl7cF3blmJCVJDLIAkdBdt+SSZre45cW3xpICbajpT24goR6gpAUkJqh+o8uJ1jgl3uiJCS7sZ+PgRfoAhJL583AsDROg9u+wjXbiUDpJX5RogtroA0s080hqSN7vBAPwTWpUfw9oHY1TmVbbF6ur17VfewTeiLqzvOQH8FIuuEnbx99dvVOZVtkYqi6bE6D25sqAodXOzBVSrkvCfF23UUBG1LEopUIoRHKiGK6hoDzhRWAgAGk0epUaziYK7ve+IlYgTU6I04UScG6uqoCWtUm/endRRqkQuwSUHn5fNrvdGMo9kVAIRbwJGKjkJTSNrotgg7ef8gI6QHF5DOQCxEfm5bpDAQC+nBBaxtydvDy4X04ALSEFMzmMy8t0nQtuTlRpSUOXz4MN58801s2LDB6XP++OMPvPvuu/j6669RWlrqsmeRyjh2+FI5GAM6RgchNtR1+yYBax2paw2o0Xt3xJYQe3A5EiXS9xzNroDRzBAfFoCkSNc6IqSko3AwS5gQfMDGqeXl/VJ6nho6oxmRQX7oHBPi0mu3C1HBTyEdHYWmkLTRDUjD88btwRXCgwtIJyRYyBB8QBppw44K6MEFbEI8vTzkbL+AHlzAZj+cF7elE3ka1OhNCA/0Q7fYUJdfP8FGSM3bPSlSIycnB8OHD8eDDz6Ir7/+2mmj+7777sNdd92FnJwcrFq1Cr169cKZM2dc8kxSCZ0+INAeXAAIDfBDSJ0wmzfXk9ZgQlpOBQBhvJNSmRNZFyYiXb54bKuj4M3za4PJjCOXKgAIEzWRKBGhYm4/9+AOrndESE1HoSkkb3RLIZeg0MakraHkrcJOth5coQyleAmELwrtwZWCjoK9B9f1+94BqbQli5dyaMcoyOUCRAPY6ijUerdXTmr4+fnho48+wpEjR9C1a1enztm6dStWrlyJbdu24ZNPPsGOHTvQq1cvPPfccy55JqmElx8UaA8uh1Wg0HvnRGk5ahhMDDGhKqREuX7xmItq83bvpDVsWti5oze3pVP5lsXjsAAlusa61oMLSEfl/YC7+iUvr6fmkLzRLYW0YVbhK2E6zphQS4oMk5mhxEuFnWw9uEIMwoA0BDGEXsCRgo6CrQdXiEEYkMYAI1R+bg47HQUJpKCTEnFxcRg+fHiLzlm/fj0GDRqE/v37AwDkcjnuv/9+bN26FVVVVW1+JiloAOiMJhyt8+AK4ekGpLHgZ7sHV4jFY27e6M3eSaPJjMNZVk+3EPBtyYsj2w7YbFMQYvFYCvNGxphgKvgcUljAcQbJG93e/g+pNZhwrG4QFspQUtiEdnirmJrQHlzA+z0pQu/BBep0FCK8ez+c0B5cwPsHYrOZ2fzmhIkGALy//yasnDlzpoFXvGvXrjCZTMjIyHB4jk6ng0ajsftrDNuFLG/djpCeq4beaEZ0sD86tQsW5B5S2NpyUGAPbjwv7KSDwUuFnU4XVKJab0KoSoke8WGC3EMKKejc1Za8WUfhfHE1ymsMUCnl6Ns+XJB7SMER4Qw+YHR79z/kkUsVMJiYYHtwOeK9fA+TUDmVbfH2MKH0XDVqDcLtweXw9v1w7mxL3lpHZworodEaEeSvQO9EYSZ0gPf334SVqqoqhIfbT9giIiL47xyxYMEChIeH83/JycmNXj8uLAAymUVlt6xa77LndicHBNyDy+Ht45jZzHAwiwt1FaaPbhdsEXZiXizsxBmTgzpEQiHQ4nG8l6fpY4wJHjYdJgEdBa4tDUiOgL9SGLPR251aziJ9o9vLw8vd4cEFbJWCva9TcMceXMDGQ1DhnZ4U2xyLQnlwAe8O8zSbrYOwUNEAgLUteauOAteWBneIhJ9CuGHE2/tvwkpISAjUarXdsYqKCv47R8ydOxdqtZr/y87ObvT6/ko52tXla/bGvgcQ3usGeP+Wu7NFlajUGhHsr0CPeGEWj+2EnbzUi3sgS1hjErC2JW+NassqrUFJlQ7+Sjn6JgnjwQVss5V4Z79kXZgQ0hHhvfPGliB9o7tOSK28xuCVwk5C5sG1JcGLw4RO5GlQazAhIki4PbiAteOsNZigrvW+FBnubkveuFXhbFEl1LUGwT24MaEqKOp0FIq90JPCqbsLpTPBYc0FK+2B2Bfo3r07zp07Z3fs3LlzUCgU6NKli8NzVCoVwsLC7P6awpsjI2w9uELtmwS8f8sGZwAM6hAJpYALfoleLKbmjj24gHcvsAPWOVH/pHColArB7uPt6S+tKdWEX9B9I7kAAHSCSURBVMDx1sVAZ5G80R0WqESQv+XH5G0dg7s8uIBN5+mFghju2IMLAAF+CkQFcykyvKue7PfgusdQ8saQM1sPrpATOoVchrhQzivnXYMMY+5sS3Vh+F4opHausNLTj+BRLl26hHnz5iEvLw8AcPPNN+Pw4cM4duwYAMBsNmP58uUYO3Zso57uluLNIYrni6tQUWNAgJ/cTVs2vK+OAGs0wJAOAvc9XiymllNei0KNDn4KGfonRQh2H2/XURAy17stiV48JyrSaJFVWgOZzLLQJRTcvNGbdRScQenpBxAamUyG+PAAXCiuRr66FqkCiZMIwY+HclBrMCFSYA8u4L2ebq3BhO8PWEIOhfbgApY0RmXVeuSra9EzQbiJkavZeCwXGq0RISqloBM6wHu3KuiNZqzZdwkAcFknYRe5AEvkRJ5ai3y1FgMFv5vr2JJegOJKHVRKOfonRwh6L28NyzOazHj553RPP4agzJs3DwBw4cIFlJSUYN68eYiIiMDMmTMBWIzuN954A5MmTUJiYiLGjRuHu+++G2PHjsW0adOQnp6OkydPYvfu3S57Jm/2vHEe3IHJQm/ZsNSRRmtEtc6IYJV3TQOFTqnGEc9HbHljW7IsTPRpH45Af+E8uFwIPqejEF23vcNbOJBlVcEXEm/OGMBF3/SID0NYgJ9g94kO9oefQgaDiaGoUof2df2U1JC8pxuw34vrLeRV1OLtzacAAE9e00VQDy5gHYi9bSXugz/P4kJxNWJDVZg2uHGRHVdhDYHxnnoqqtRi3qaTAIDHRnUS1IMLeK+H4NMdGThdUImoYH/cNlT4tpTghQrmZdV6vLrRYkw+fGUnBPgJN6ED7JWWvcmT8tXuTJzMb1xpW0rcc889mDJlSoPjKSkpeP3115GYmMgfW7FiBVatWoX27dvjjjvuwKlTp9C9e3eXPYu3Lh4Dtvu5hTUAQlRKhHqpsFNuRS1yK2qhkMswICVC0Ht5s3fSHXtwAe/WUSit0uFCcTUAYHCKwJ5uL5w3chxwU78kl8tsFtm9r/9ed7BxvRFbvGuJs5V4WzgVYwxzfzqOKp0Rg1IicP/lqYLfk6ujwkodTGYmmNqlKzmaXYGv/r4AAHj7pr4IDxJuFY7D2zxvjDG8uiEd6loDeieG4dFRnQW/p62OQq3eJOhKu6s4mafBpzssaYveuKG3W1bsE7xQqOeNX06gpEqPbnEheOpax/twXUl9HYWIIH/B79lWMoqq8MGfZz39GILDebobIyUlxWGZsWPHYuzYsYI8U7yXRtlotAb8fa4EgPChroBlYbSysAr56lp0ETiKzpX8fjwfANAnMQxB/sJOX73VO1mjN2LXmSIAwBABw4E5EiMCUFKlQ75aiz4CpZMSgt/TCwAA3eNCBZ87xnuh4w+wRJL+dbquLbmjXwoLRHZZrdctTmw6loc3fjnpVFlReLrLy8vx0UcfYdasWfjiiy9QU1Pj0ut7m7jK+sO52HW2GP5KORbe0t8tBnC7EBWUXiTspDOaMGfdMZgZcOOARFzXK84t9/W28MXNx/Ox9UQhlHIZFt3SX9CwRQ5bHYUCL9AIMJjMmPPjMRjNDON6x2FSvwS33Jf3dHtBHQHAHycLsfFoHuQyYOEt/QUVnuHwNh0Fk5lhzo/HoDeacXkX4bcoEPYkemnE1ryNJ1BSpUNyVKDgOgmAdyoFny+uwvvbzgAAbhmcJPj9vDWf+Zu/nkKeWouE8ABc3qWd4PeLD/O+yLZLpTVY8JslktQ9bck7F3De23IaWaU1aBfij1HdYgS/nzdmK8mrqMUrPx93urzHje7CwkIMGjQI69atQ0REBJYuXYrLLrus0bydrcGbwjgLNVrM/+UEAGDmmK5uW4VW2KTI8AaFxU/+ysC5oiq0C/HH65N7u+2+3qSwWFqlw2sbLW3piWu6oJfAe7k5ZDKZV4V5Lv37Ak7kaRAe6Ic3p/QRNDWfLYleVEfqGgNerhtYHr6yEwYIvJfbFm+KVFq+JxNHLlUgRKXEPDf2S4QFXnhPrYXZS1Lx/ZqWh5+O5EIuAz68dYDgWzYA275H/HMiwLIwOvP7o9AazLiyazvcObyD4PfkPN3FVTrojd4h7PTnyUJ8t/8SZDJg8fT+btmvzy10eUt0idFkxnNrj6Jab8KwjlF44ArhI0m5tsTpKHgDu88VY/meiwCARbf0R3igGyNJvaQtmc0Ms9Yeg0ZrdDrKw+NG91tvvYWAgAD8+eefePXVV7Fjxw4UFBTgo48+ctk9vOUfkjGGl39Oh0ZrRL+kcDxyZSe33j/BSwbi9Fw1Ptt5HgAw/8Y+vCfMHcSHec8CzuubTqCsWo8e8aGYcY3wocC2JHhJupWzhZX435+WNEavT+6F2NAAt93bW/olAHhz80kUVerQqV0wnr2um1vvneAlgkYXS6p5T9zLE3vyi72E+4gLC4BMBuhNZpTV6D39OM2Sr67lBfeevKYLBgusyM1hjdgS/0IWAPzvz3M4nqtGeKAfFt3SX3CNG8Ai7OSvkIMxizNE7BRX6vDC+jQAwENXpGJkZ+G93ID36Sh8ses8DmaVI0SlxOLp7okkDQ3ws9FREH89lVfrMXudJcvEXZel4JoesW65r7fpb32zJxP/XShFoJ8C797c16lzPG50b9y4EdOmTYNKZdlDGR4ejsmTJ2Pjxo0uu0eilwwwm47l4c9ThfBTWEKBhRa8qo81IkC89aQ3mjHnxzSYzAwT+sZjQl/3hAJz2Hq6xSzstCW9AL+m5UNRF1bur3RzWwoXf8iZ0WRpS3qTGaN7xOKmge3den/OQ1BUqYNRxCkydpwpwo+HciCTAYum9XOLJ84Wb0hBZzYzPL8+DVqDJazcHUJ8REP8FHLEcMJOIp+4mc0Ms9cdg7rWgH5J4Xj62q5uu7c3bbk7eLEMn+206G0smNqXX6wUGlthJ7Fvk2KM4YX1aSitW2SfPc514oTN4U2Lx2k5FfiwbpF9/o29kRwV5LZ7J3iJmBpjDC9vOI5CjQ6dYoLx8oRebru3N0W1ncrXYOEWyyL7q5N6oWO0c5mxPGp063Q6ZGdnIzXVPryjU6dOOHfuXJPnaTQau7+m4DqFijphJzFSXKnD65ssocBPje6K7vGhbn8GbxiIP995HqfyNYgM8sMbN/Rx+/25EHytwYyKGoPb7+8MFTV6vLLB4j159KpO6JvkfnETb0gbtuyfTBzLrkCoSol3burrtrByDjsdhSpx6ihUag146SdLWPn9I1Pd5omzxSqOJd6BeNXeLOzPLEOQvwLvTu3n9rZEWPGWidvyfy9iT4bFS/LhrQPcorfB4S17Jyu1Bjy79ijMDLh5UJLbF9mtacPEXU9r9l/CX6eL4K+U48PbBrhFb4Mj0Uu2b9bojZj5/VEYzQwT+yW4fZHdW8TUfjqci9+OF0Apl+HDWwe4VQjXWzSTtAYTZn5/FHqTGWN6xuL2Yc4vsnvU6K6ttXRkoaH2BmZYWFiTYmoLFixAeHg4/5ec3PQLhwUoEVzXcMQ6yLy+KR0VNQb0TAjD41cLrzDtCNv9cGLkdIEGn+ywLMbMu6E3YkLdnxMywE+BaJELO83/5SRKqnToEhviVu+JLWJPQXe+uAqL/7AoTL8yqafbvCe22OooiLUtvfPbaeSrtUiJCsLsce4NK+dIjBB3v5RdVoP3tpwGALx4fQ+3ek+IhnjDxO10gYZvMy9P7IlOMe5VEPeGBXYAeOOXk8guq0VSZCDm3eA+jxtHosjnRIBlLHvzV4ty8vPjuqNHvHu0WzisQmriTuv4zm+ncKGkGvFhAXjbjdotHIle8JvLLqvhnX8zx3RFv6QIt96fWwwUu47C+1vP4ExhJdqF+OPdm1u2yO5Rozs4OBgymQwVFRV2x8vLyxEW1njHMXfuXKjVav4vO7vp/GgymUzUITC/Hc/nV5YW3dLPrSvetiSI2KNkNJkxZ10aDCaGMT3jcEP/xOZPEggxpxL563QhL8qz8Bb3hwJziNlDYDIzvPBjGvRGiyjP9CGeCwUWcwq6PRkl+G7/JQDAezf3EzxFT2OIWUeBMYYXf0pDjd6EYalRuMsNAk9E04g9MkJnrPOSGC3bWu4cnuL2Z+C8bpVaI6pEKuz02/F8/HgoB3IZsGT6AIQGCC/kVB+xq7wbTGY8+8NRflvLA25IL1sfWx2F0mpx6ij8dboQq/daxrL3p/X3SOpJMc8bAcu86NkfjqJKZ8SQDpF4/Gr36gABQFSQVUehqFKcv7k9GSX4+p9MAJY5drsWppf1qNHt5+eHrl274tSpU3bHT506hV69Gl/VVKlUCAsLs/trDrGGwJRV6/HaRkso8ONXd/ZonkMx751cuvsCjueqERagxDs3uX+V0haxelLUtQbMrQsFfvCKVAxKET5HZ2NwOgpi3Au34t+LOJhVjmB/RYtXKV2NWENhq3VGXpTn7ss6YERnz6W/ErOOwnf7s7EnoxQBfnIsvLmfWwSeiKYRe2TE4m1ncbqgEtHB/njPQ/1PiEqJ0ADLIpoYdTcKNVq8VJct4fGrO7sljZojxJ6t5OPt55CWYxGYe3+aewTm6uOvlPOGhxh/cyVVOjz/o2Use/CKVFzR1T0Cc/URewo6W4G5D24d4BaBufrY6iiIsZ4qavSYtdYiMHfn8BSM7tHyVMUeF1K79dZb8cMPP6CsrAwAkJWVhV9//RW33nqrS+8jVoXFN345gZIqPbrFhWDGaPevLNnChXYUarSiEnbKKKrEh39Ywspfm9wbsWHuDwW2RawD8TubT6FQo0Nqu2DMGus+IRVHcG1JbDoKWaXVWLjVEtY5d0JPtPewwrRYFwMXbjmNnPJatI8IxAvX9/Dos4hVRyG3ohbv1OV6nT22Ozq2c05IhRAWMe+d/DejBF/tvgDAEj3iiS1SHJwRILasAJzAXEWNAX3bh+OZaz2zrQWwhk6LrX8GgENZZfhkh0Vg7u2b+vDOAE+QKNLINsYYXlx/HCVVenSPC8UcNwrM1UfMnu7jOWp8ULfdbt4N7hWYq49YjW6LwFw6CjRadGoXjJcn9mzVdTxudL/wwgtISUnB4MGDceedd2LEiBEYNWoUHnroIZfehx+IReR5++NkITYezYNcZsmD507xC0e0C1bBTyGDmUE0wk4mM+MVpq/uHoObB7lX/MIRYuwU/j5bjB8OZkMms0zmPBVWzhGqEp+OgtlsUXjVGsy4rFMU7hjm/rDO+tjuhxML+y6UYsV/WQCAd2/uixA35HptCjHqKDDG8NJPx1GlM2JQSgTu90BYJ+EYfu+kRhz9Doe6xoBZ646BMeD2YSkY06vlXhJXEi/S/cor/ruI3edKEOAnxwe3DnB75g1bxLooWqUzYuYPFoG5qQPbY1I/z223AyBalffvD2Tjz1OF8FdYBOY8OS9KFKl6ea3ehGd+OAKjmeH6PvEen2MnitRBuuFoLjan5VsE5m4b0Ortdh43uoODg7F792588cUXuPrqq7FmzRr88ssv8PNz7f4dsf1DqmsMeLkufOrhqzqhf3KEZx8IltAOzqskltXv5XsyceRSBUI8pDDtCLHlEqzSGfmw8ntHdPRYKJ4tMpnMJgWdOOrp//Zfwt4LZQj0U2DhzZ4JxasPNxCLZf9prd6E5+vCym8bmowru8Z4+IksiE1t+cdDOdh1thj+SjkW3uKeXK+Ec9iKOJrN4tmO8MrGdOSrtUhtF4xXJ7XOS+JKxNb3AMDZwkos+L1OYG5CT3SJda/AXH24CMkSkQk7vbHpBLLLLJFI827s7enH4b3sYpk3AkBmSTXm/2IRmJszrjt6JrhXYK4+YtVReOe3U7hQXI3YUJUo5thimzcCFoG51zZYBOaeubZtAnOedWHUoVAoMG7cOEHvITbv5JubT6Ko0pIH79kxngufqk9CeAByymvrJree2xMMWDrNRVstefBentiTX3X2NGILE3r391PIrahFclQgnh/v2bByWxLCA5BRVCWKkLOc8hq8WxcK/Pz47kiJFofCtNhCYRdvO4Os0hrEhwXgpVaGTwlBfFgg0nM1okhBV6jR8mrBz47p5nHDgLAnNlQFmQwwmBhKq/UeDeHm2Hg0F78cy4NCLsMHt7beS+JKEkTW9+iMJjxTJzB3dfcY3HWZ50UJo4L94a+UQ280o1CjFUVmgi3p+Vh3KAcyGfDBrQMQ5gGBufqIbcudwWTGzB+OotZgwohO0XjwCs9HInE6CpVaI/IratE1zv1pgeuz43QRVu21RLW9P60/IoPdLzBXH7Hp3JjMDLPWHkOlzojBHSLbnF3K455udyGmMKEdZ4rwY12nuciDCtOOEIuYmrlOYVpntKhy3jbUcwrT9bEVxPC0sNO/50t4Vc73pnpOYdoRYklBxxjD3J+Oo1pvwpAOkbh3REePPo8tXAROUaXndRQOZZVj2R6LKueCqX1FMZnjsIpjeXYgZozh5Z+PQ6M1ol9SOB6+0vOTOcIeP4UcsXWGthgmbjnlNXhlg0Us9enRXTFABFFtgM3isUhCgpf8cRan8jWICvbHwlvEketeJpOJKr1aoUaLF+ui2h4b5TmBufqITeX9k78ycCy7AmEBSiyeLo6oNkBcYmqlVTrMqROYu29kR1zVTSRRbSKqIwD48u/z2H+xDMH+CnwwfQCUbcwu5TNGNzfAqGsNqNF7LrRDozXgpbpO8/6RqRjcQRydJgefNszDq9+r9mZh/8UyBPkr8O5UcQzAHHHhlgmdzmhGuQeFnWr0Rry43tKW7hiegpFdPKPK2RjcQOxp7+Tag9nYfa4EKqUcC28Rl8J0dIgKSrlFR6Go0nM6ClqDCc//aNlvOnVQe1zTI9Zjz+IIsaRW23QsD3+eKoKfQoZFt/Rv8wBMCEO8SMJdeS+J1oiBKRF48pq2eUlciXWblOcXJv47X4qlf1sE5hZM7YvYUM+KpdpiFVPz/ILfnB/TUFFjQO/EMFFFSCaKyDt5KKucF5h766a+oomQBMQTJWlJdXkcJVU6dI0NwYseFku1RUyLXOm5VoG512/o7ZIISZ+ZMYQF+PGCQJ78x1zw22nkq7XoEB3kUSXFxuC9kx4Uockuq8F7Wyz7ul68vocoQrpsUSkVaBfCCTt5rp4WbT2DS2U1SAwPwFwRdZocieGe907mq2vx1q+WsPJZY7uhU4y4QoEVNjoKnuyX/rf9HM4XVyMmVIXXJjWertFTiMFDUFypw+ubLPu6nhrdFd3jPR8eSDhGDH0PAHy9+wL2ZVoWjz+8te1eElciFiE1da0Bs9YeBWMWHYlxveM9+jz1EUuU5Mr/svD32WKolHL87zbPCszVh2tLhWqdR3UUqnRGPLf2KExmhikDEnFDf88KzNVHLGJqaw9m44+ThfBTyDwuMFcfsego1OpNeOb7IzCYGMb3jse0wUkuua54frVuIMHD3pI9GSX4bn9dKPDN/RDoL56GzsGJGHjKQ8CYRWG6Rm/CsNQo3DXc8/u6HOHp/XAHL5bh238vAgAW3NwPoSIKBebwtCAGpzBdqTOif3IEHryik0eeozk8vR8uLaeC9zK9PaUPIoI8v6+rPmLY5/XaxnRU1BjQKyGszfu6CGERg4bLiTw13t9m0SR5fXIvdIgWV0o57jdVqTOiUuu5iK3XNqYjr84R8aoIF/ziRSDCe66wkk9P+NKEnugSK64Fv7iwAMhkgN5kRmm13mPP8eYvJ5FVWoP2EYF448Y+HnuOxogP87yOwsWSarxRJzA3e2x39E4M99izOILTUWDMsp3CU7z7+ymc5wTmprpOYM6njG5PhnZU64x4oU4V+O7LOuCyTtFufwZn8PQ+3DX7L+Hf86UI8JNj4c3iCgW2xZP74SyhwGlgDJg2OAmjRLIXpz6eDhP66XAudpwphr9Cjvdv6Sdahel4D+oo6IwmzFmXBpOZYXL/RIwVmZeJI8HDOgqb0/Lxe3oBlHIZFt7SD34i8lgSDfF0ZITWYMLM74/CYGIY2ysO04eIR5OEI1ilRFiAJfrPU+P9xqO52HjUKjAX7OH0hI5I9PA4pjea8cz3R6EzmjGqWwzuGSE+R4SfQo6YEMu2O0+1pa0nCvi0qYun90d4oBgdEZ7VUTDWCczV6E0YnhqFh64UnyNCDDoKO88U8WlTF03rjygXCsz51MzBkwPxwi2nkVNuSfEgpv0T9eEmt54QdsqtqMWC3yxh5bPHdkfHduLyDNjiyRR0H/xxFhdKqhEXpsIrIvQMcCR4UEehSKPFG7/UpXgY01UUSqGNkehBHYVPd5zHmcJKRAf7440bPJ96pjE8qaNQVq3HaxstQliPX90ZfdqLyzNANMTTKebe23Ia54qq0C5EhQUu9JK4Gi502hO6G7kVtbzA3IxrumBQimezpTSGp4WdPvjzLE7maxAZ5IdFIhGYcwQfJemB31yRRosX65xaj1zVSbROLU/rKHy64zyOZlcgNECJJbcOEK0jwpORbWXVejuBOVc7tXzK6PZUyNm+C6X8qsl7N/cT5WouR3SwP/wUFmGnQjcKO3EK01U6IwalROD+y8WtCuwptc4jl8rx1W5LKPA7N/UV5WouR6iNjoI7DUrGGF7ZkA6N1og+7cPwyFXiW821xVMROCfy1PisTnBm/o19XLqa62psdRTcnYJu3qYTKK3Wo1tcCGaM7uLWexOtw5Oekr/PFmP5nosAgEXT+iE6xPMpyxojwUOLx2Yzw6y1R1GpNWJAcoSof1eejJDcd6EUX+w6D6BOYC5MPAJz9fGUI4ITmCuv2/rz3HXiEZirjye3vRy5VI6P/joHAHhrSh+0F5HAXH08tdDFGMOL69NQXKlDF4EE5nzK6PbE3slavQnP163A3TY0GVd0FZfCdH3kcpmNwIr76mndoRz8fbYY/ko5Ft7SX7QrcByeaEs6oyWs3MyAKQMScW3POLfdu7V4YrvCL2n52Hay0BIKfHN/0YcCe2KAMZjMmLMuDUazRSRkQl9xhpXb4ol0httOFGDTsTzIZcCiW/pDpRSfDgfREK6tFGq0bhV2Kq/WY/a6YwCAe0Z0wDXdxZUFoD6eWjz++p8L2HuhDIF+Cnxw6wBR99FcNEBJlR46o8lt99VoDXhurSWjxPQhSRjfJ8Ft924Nntpyt2pvFnbVzR0/vG2AqPtobj5U5WYdhWqdEc/+cJTfRnbjgPZuu3dr8NRi4LqDOdjGCczdKozAnHh7OgGI94D41fvbziCrtAYJ4QF4aWJPt923LSSEuVdMrVCjxZu/WoQdnh3TDV1ixaUw7Yh4DyhOf7T9HB+y+Ppk8YYC28INxO4KOSut0mFencL0k9d0Qa/EMLfcty14IpTqi53ncTJfg4ggP7w5pY9oQxZtcbfHqaJGj5frwl8fvqoT+oskvzLRPLGhKshlgMHEUFLlnogtxhhe+vk4iip16BwTjLnXi3+890Sqp5N5Gry/1ZKG57XJvZAq4m1kABAZ5AdVnVJ4odp90X+vbzyB3IpapEQF4TUvGO8TPTC/ziiqxNubLQJzc6/vgW4i3kYG2OsouHPu+Nbmk7hYZ4e8JUKBufp4IlIpq7Sa35L43HXdBdtG5lNGt7sHmENZ5fhmTyYA4J2pfREmQoVpR3D74dzhUWKM4eWfj6NSa0T/pHA8fKW4w8o5bNOIuEPYKT1XjS92WcLK35rSG5EiDgW2JdHN3snXNp1AWbUePeJD8eQ14g1ZtIX7vRVV6mBwg47C2cJKPsxs3uTeiAkVb/irLe4WNHrz11MortShU0ywqHLiEs2jVMj5XM/uai/rD+fyYnsf3jpQlNlJ6uPucFetwYSZPxyB3mTGmJ5xuG2o+ATm6mMv7OSeueMvx/Lw85FcyGXAB7f257dpiRl3p6DTGy2iYDqjGVd2bYd7R3R0y33birtT0P1xshDf7bcRmAsSvx3i7ug/o8mMZ384iuq6rElCbkn0KaObE3rQaI2o1gkr7GRRmLaEBt08KEn0YWa2cA3eHd7JjUfz8OepIvgpZFh4S39R5TFtCi63st5oRpnAKTL0RjNmrzsGk5lhYr8E0YeZ2eJOQaMt6fnYnJYPhVyGRbf0F1Ue06ZoF6yCn0IGxiyGt5AYTWbMWXcMBhPDmJ6xuHGAuPKYNoU7U9DtOFOE9YdzIJMBi27pJ6o8pmKitLQUO3fuRHp6utPnXLp0Cbt27UJGRoaAT+beyIhLpTV4vU5s79nruqFvkneI7bnbAFi45QzOFlqitd67WbwCc/Vx5+JEvroWL/98HIBFYG5whyjB7+kKuC137opq+/DPs0jPtURrvT+tv2gz3dTHnSnoiiq1fNakh6/shJGdxb29lcPdi4Gf7TyPw5cqEKpSYsl0Ybe3eses1EWEqJQIVbkntOPDP8/hfHE1YkJVeHWS+MPMbHHXPtyiSi3m1YVzPDW6K7rHizs0yBZ/pRzt6gRyhG5Ln+3MwOmCSkSJXGHaEe4KEyqv1vNKuI9e1clrJr2ARUeBW8QRWkfh638ycSxHjdAAJd6a4j2TXsB9YfgarQFz11smvfePTPWaSa+7+fTTT5GcnIzZs2fj6quvxhVXXIGKiopGy1dVVWHy5Mno378/XnnlFYwYMQJTpkyBVitM32DV3RC27zGZGZ5ba/GSDO0YicdGeU8Od3d6J3efK+Yj/xbe0lfUAnP1cVfmG4vA3DFo6iL/nrq2q6D3cyXxbtRR2J9Zhs85gbmb+vLjpzfgLi8uYwwv/JjGR/7NGus90VpWHQWd4DoKR7Mr8L/tlsi/+VN6IykySND7+ZTRDbjH85aWU4Glf1s6hLen9EFEkHeEAnMk8Ptwhe0UXt94AhV1ipOPX+09ExUOd0zqThdo8MlfFo/QvBt684a+t5Dgpn1eb/56EiVVenSJDcHTXjRR4eAmdULqKFworsKSPyx7KV+d1IufcHsL7pqsLPjtNAo0WnSIDsKccd0FvZe3kpaWhqeeegorV67EwYMHcf78eZSUlGDOnDmNnvPKK68gLS0N586dw+7du3HhwgVcvHgR8+fPF+QZ3dVevth1HgezyhGiUmLJdPGm4XGErbCTRkBhp4oaq8DcXZelYHQP8YuA2uKuiK1v9mTi3/OlXiEwVx87HYVq4SK2NFoDnv3hKBgDbhmchOv7ek/kH+C+ba7/t+8SdpzxDoG5+rhLR6FGbxWYm9QvAVPcIDDnPb9oF+EOtc5l/2TCzIBJ/RIwtrf4VYHrk+CGXIKXSmvwe3qBRRV4Wj+vGlw4rGJqwtXT8n8uwmhmGNMzDpP7edfgAtgu4AhXR0UaLX46kgvAe0OB3REKu+Lfi9DX7X+bNjhJsPsIhW3UhFA6CuXVeqw9mA3Akt7RG/bleoKVK1eiU6dOuOWWWwAA4eHheOKJJ7BmzRro9Y632/z999+YPHky2rWzhDiGhobilltuwTfffCPIM7ojyuZ8cRU+qFvIeuOG3kiOEtZL4mqC/JV82kkhF0bf+e0UCjUWfYSXJ/QS7D5CEe+GRdHsshos3HIGAPDKpJ7oFCN+QVlb/BRyXh9EyLb0/tYzyK2oRXJUIF6f7I1tSfh+qVCjxVubLeLEL4zvgR7x4heUtcVdOgof/nkOmSXVSAgPwNtuivzzPkunjVhzCQrT4A0mM3acLgJgSazujXCrusVVwgk7/XmqEAAwtGMUeid6TyiwLULvhzObGbbbtCVvCgXm4PbhVmqNqBJIR4Gro/7JERiYEinIPYQmQeCoCcYY/jxlqad7R3hnW3KHjsLOs0UwmRl6xIfisk7RgtxDChw9ehQDBw60OzZw4EDU1NQ0ulc7NjYWFy9etDuWmZmJwsJC5OXlOTxHp9NBo9HY/TmLOxaPfzmWB6OZ4cqu7TB1kLjT8DSG0JNbrcGEX9PyAVhCgb1xIYubNxZohGtLm4/nQ28yY2jHSNwxLEWw+wiJ0NElRpMZG49a+oq3pvRFqJeIE9viDh2F34/nQ2swo19SOO73VjtE4LZkNjP8XOesmXdDb7cJzPmc0S20R+ngxXJotEZEBft7rQEQFeQPf4UcjFlWzIRg+2mL0X1dL+8KM7NFaEGMYzkVKKnSIVSlxLBU79xXaqujINR+5e11CzjX9fQescL6JIQJuxh4uqASuRW1CPCT4/Iu3iGmUh936ChwCxNjenpvv+QOKioqEBVl3ydFR1sWKcrLyx2eM3v2bPz+++94+umn8dNPP+Hll1/G77//3uQ5CxYsQHh4OP+XnOy82rU7PErc4vHk/oleuZAFCG8E7L1Qihq9CXFhKq8dx+IFdtYAwJ8nLW3pBq9uSwLPr7PKoa41IDLID1d46ThmO28UKmKLG8cm90v0GoG5+ggdqZSWq0ZxpQ4hKqVbha59zugWWhCDG4Sv6R7rVXu7bJHLZYIKrGi0Buy7UAYAuNaLJ7dCdwpcW7qqe4zXKHE7Qkgvbq3ehN3nSgB4eVviJr4CLXJxE7orurTzSk8Th5A6CnqjGbvOFAMArvXiBRx34O/vj9pa+4l1TU0N/50jxowZgwMHDsBsNmPlypUwm8346KOPAABBQY7DsufOnQu1Ws3/ZWdnO/2MXFsp1GhhEkDYKV9di/RcDWQyYHQP720vQi9OcOPYmJ5x3mtM1s0bS6v10BpcL+xUWqXDoUuWhSdvHsfiw4RNEcqNY6N7xHnt/JqbN1brTagUIPpPozVg74VSAMAYL3ZqCa2jwLWlUW6eX4s/+Z+LEfIf0hLCyQ0w3jsIA5aB+FJZjSBiarvOFMNoZugUE4zUdsEuv767EDr8ZTvvdfP2thSIs4VVgngJ9mSUQGc0o31EIHp4kfp9fRIEjpr4sy4E35sndIBFRyENakH67/2ZZajSGdEuRIX+SREuv76U6NixYwMDOCcnh/+uMQYNGoRBgwbxn998802EhYWhQ4cODsurVCqoVK0Tj4wJsQg7Gc0MJVU6lyscc96kQSmRXidwaUuigH0PYwx/nqwbx7zYAIioE3bSGc0o1GjRIdq185a/TheBMaB3YhgfeeCNWNOGuX6sZ4zhDy6qrZf3zok4HQV1rQH5FVqExbs2rJmbX3f28vm10Ppbf/IRku7tl7zXfdZKhPROni+uQlZpDfwVclzZLcbl13cn/B4mASa3nmrsrsY2tZqrw4Syy2pwuqASCrnMq3K8OyJRwN+c7SKXt3pRAOsCjhA6CkUaLY5lVwAArvVijxwgbCgs15au7RHrtSF57mL8+PHYs2cPiouL+WPr16/HoEGDEBNjGfsqKiqwZcsWfh92TU0NTCarl7C6uhrffPMN7rvvPsjlrp+KKBVy3tAWor38cdLqwfVmuMltgQBRNum5GhRotAjyV2CEF2skyGQyQfse6bQl4eaNGUU28+uu3j2/FlJHgW9LXrzIBQir8m47v766u3vbks8Z3dwAI4SwE7fyfVnnaISovDuIgAt3dbVap9Fkxk4+hNO7O4W4sADIZIDeZEapi4WduH3KgztEel3KufpYIwJc23naCs15e1uKDhZOR+EvTmguKRyxXpTP1BFCRQTYRilRaHnz3H777ejXrx8mTJiA1atXY86cOfj+++/x7rvv8mXS09Nx/fXX4+xZi7p3VlYWRo8ejW+//f/2zjw8iirr/9/uJN1JZ+nsZGEPIWwBCUtAQHZEBXfE8XVhyKiDjDO4/PRldFzHBV8dHVRAFBn3cUEcF1RIQHYQgQAOkGBYk0D2dKez9Hp+f3SquirpTrqT6qRTdT/Pwx9dualUXU7f5dxzvudf+OCDDzBt2jTExMTg2Wef9dtz+ste6pqs2FvkTGvpyadugGtxW+qHk27uZPKK9IQeWVVCiL82Sk1WV4pUT9a4AVxzvT9U3jlbunxQHMJ7+PraXw4cq92BbQXO+b7nH2r5r9ws55gY17/r19eK23RHaIMRGeofYSc5CDpx+GuCEQphZPWNlvTeXY1I2EnigYHbTPb0gRPwX933YwIhjOyBPVOgh0OtVqGX3j8iYXISB0vyky0VlplQXNMIbbAak9N7pkBPVxISEoJt27Zh/vz5+Pzzz1FVVYUdO3Zg9uzZfJuYmBhceeWV0Oud1SmGDh2Kl19+Gbt27cLXX3+NO++8E3v27EFUlP/K2fgrBWjnqUpY7YQB8eFI62GlnVoizOmWOmKLy5vs6ZtJQDD2SDzX7ymqRKPVjmR9KIan9KzSTi3h5np/6CjI0ZakdgYeOFONuiYb4nqwkDMHZ0v+0FHgo22HdX1J557tLuogKfowFDTVobS2CYMSpckDra634OA5pxDGDBksbrnFitSCGNzAOT0jEcE9sDZ3S1L0oaioM+OioRGZvaUpfVYnEMKQw6kbp6MgtZOLF5obHA9tcM8+RQGc37kL1Y2SbhCarHbs+k0ekSWA64RA8nGp2ZYmDYqHTqPIadFnIiMj8cQTT3j8+fDhw/HDDz+Iro0bNw7jxo3z96Px+Mt5nHtcHmktgGuub7DYYWyy8XW7O0tJbSOOXzRCrQKm9/C0FsAlpib12LPluMsp2tNtKTHSpaNQZTJLFllVUWfGYT5FSgbzmJ9S7rhogBlDeq6QM0e0LgShIWo0WaXVUTA0WLH/jFPIuTv0knr+rqcD+KNs2LaT5XAQMCw5Cqk9WAiDwx+nkyKhORl4KwH/KL/uKHSeogxMCMfAHn6KAghDPNkJblv4IxR292+VaLI6heaGJvdcoTmOpCiXjoJDwpMUocIyQz74IzLCZndga4F8xp4wTRBimmvUSrkm4iL/xvaLRWx4z06RAvyzbnQ4iO8nOayJhDoKUn7ntjULzY3sref/H3oy/hAJk9v6WqVS+SVS6afCctgdhMG9IiQXRPQGRW66/VF2Ri6q5RzcBqDSZIbFJo2wU1FFPc5WNSAkSIUpMgnh9MegILcNAK+jYLahrskqyT2LaxpwgjtF6eFCcxz+tKWZMjiRA8Q6CtUN0ugoVNSZkc+doshk/GY48UdkxC/nalDbYEW0LgRj+vXsEE4Of2wCXIJO8vhO+WPdeLTEgPI6M8I1QZjQw1OkOPwhprZZJkJzHP4QCSsoq8OF6kZogtUyWl9L30/dLVqoyE03V0tQqpM3s82OHYXyCeEEgNhwDTTB0go7cR7dCQPjEBkqbZmE7kLqQcEmEMLo6UrTHGIdBWlsiRMHG9MvBjEyOEUBpLcl5ymKPITmOPyho8CdomSm6iUvK8XoXvyRO8nXCpZJihQgLBsmzXdKVCtYJmMPv26U0ikqqBUshxQpwBWGL1Xue6PFlSIlG1vyg44CZ0uTZZQiJXUkqcXmwPZmIefuigaQx4zhI3ytbok2k/tOV6PeYkdipBaZqdLk9XY3ztCOZo+lRP0ktxNcwKXyLtWgcFCGpyiAayKWqp+621vpD4Ql6KTgmAxPUQDpTwm2yHBcYjjhxp2yOrMkwk7iWsHysRepTyd3FFbAanfWCpZDihTgOumullDYKVfOtiTRulFuKVJAax0FKdjS7GCXky2lSKxg/vOZatSZbYiP0OKy3tGS3NNXFLnpdv1HSjPB5AlCOOVU35XP65agn2oEQnNyCuGUegPAqZbLRWiOg3d0SdBPJrMN+087hTDkcoILuEJhpcqFy+OF5uRzigJIG4bfZLVjV3O5HjmNSwwnCZFaBKlVsDsIFXXmTt+vqEJQK3hwz64VLETqsSdXJrWChejDnMJOgDSOUWGtYLmkSAHSrhsBsWNCDilSgFNHIVpCHYVyYxOO8EJz8rElqXUUhGnA3bVXk8+q3geSJDxRInKFcMrtpERKBfNtBU6huSFJkegdo+v0/QIFzpbKDGZJhJ3kGA0ACEOnO29LOwsrYLE7msv1dL0Qhr9IklhHQW5CcxxShpztLaqSTbkeRmuC1Cr0iuRK8XV+4cYpTU9Mi0NED68VLEQoUNhZrHYHn/4jh5KXHCqVStKIrVxeaK7rawX7EynXjQ4HyXYek9J5zB3WjOoTLZlifCAgpY4CEQVEhKQiN93cBkAKYacTF+tQUtuI0BA1Jg2Sh3gBh5QbJbluJoXCTlX1nRN2Ol1hwumKeoQEqXDFYLnZknRhQlx458wh8hAH44gL10ATJI2OgtzK9QhJkTBqYovMhOYYrZEyBUhO6sBCuEikUgm+UwfOVsPYZEOsDGoFt0TKiC05hpYDwj7q/Pctv7gWlSYzIrXBGD9APilSgLQ6CnwNc5lFa0npmDh5KTD2at2+6X7ttdeQlJQk+peRkeHXvxmuDUZUs7BTZ/8zuRDOyYMSEBoinxBOQLowIafQnDOEU26LlZAgNRIipDlJ4SIm5CQ0x+Eq3dO5PrI7CNuavbpysyWVSiXZKe7W5nFpTL8YWZTrEZIkkQPHGaUkT2cgw0WSRPNYRZ0Zh847U6TkUqWEQ+gU7aywU25zNIAcagW3RCoxNUOjlU+RktvYI9QC6qyOglBoThPc7dsVSZEqdLrBYsOu3+S5vuZsSQodhS3HXXu1ME337dW63YpNJhNSU1ORn5/P/9u5c6ff/26KRN5vuZUKE8KHCXXy1G3/6WqYzDYkRGoxUiZCc0KkOkkRnuDKjRSJQs4Ona9BTYMV+rAQjJWR0ByHVArmW2SmWi6EPyEwdq6Pfi0xosxohk4ThAkD46R4NEYAkiJROplQ5Z6bG+UCN+40Wu0wNnZc2MkpNHcJgPxOcAHpomx+KiiHzUFIT4xA/3j5pEgBQGJkKK+jUGnqnI6CXKMBAOn2IDtPVcJsc6BPbBgyeslDaI5DHxaCsObDzM6O3y5b6t71dbdvugEgJCREdNKdmOj/TpGilEi5sQlHig0AnF5dueE6IZAmGmBGhryE5jiSozpvS7UNQqE5+U0wUp3gcgPntIwEWQnNcUiR0mEy27CviCvXI99x6ZKhqVM6CpwtTUmPl12UEsOFVDWo5axyHxoSxEfEdCYa6VS5SXa1goUkSRQSzOcpy3AzKdRR6Ex0ybmqehSWmRCsVmHaYBnOY1HSOHByBXnKckuRElZR6sy4dMnQhKPFBqhUwIwh3fudC4hV6/Hjx5Geno7MzEzk5OSguLjY739TilyBrTIVL+DgPHGdEXYiIllPMIA0Jeh+KqiA3UEYkhSJPrHyEZrj4E4ITJ3UUZCraCEHFzXRGa/urlNOobn+cTqkyaRcjxBOR8Fqp07pKOSdlO8miuFCigoTTVY7dp7i6rvKbwMASCOmtkWGtYKFSCGkZrE58FOBvOcxKcSKOVsaPyAWep280u0AaXLf7Q6SpWihEK6fOmNL3Fw/uk80EpodQt1Ft2+6o6Ki8PTTT+Prr7/G2rVrUVxcjDFjxqCystLj75jNZhiNRtE/X5FiIuZDy2V4yg0AMboQaJvzaDoq7MSJF2iD1ZgsM6E5DilqCQoFneSIThMMfRhXIqNj/XS2sh6/lTs931Mz5FOuR0iKBPmnnMLyTBl6vgGnjkJiJxWpLxoa8WuJESoZCs0xxEiR/sPVCk7Rh2JYsjxV7lMkEFMLBHVgfyJFHu6Bs9Woa7IhPkKDy/pES/RkgUWyBCXo5Cq+yyGFjkL+hRpU1VsQGRqMcTITmuOQQkchkEoYSr7pXrFiRSthtJb/9uzZw7e///778cADD2Do0KGYOHEivvzySxARVq9e7fFvvPDCC9Dr9fy/Pn36+PycnQ13bbTYZStewCEM7ehoP7mE5uK7VbzAn3TWq2uxObCjoPkURaYTDND50GluEs4eGIsomQnNcSR1UkfB7iBsk/kpCtD5kGEuYiKrbwziI7rX883wL9y4U15nhs3esYitLYJFmxwdWUDn57Hyuibkc7WCZeo85hzsNQ3WDgs7cbYkR6E5jmQ+aqJjzonaBgsOnOVEC+U5j0mho7C52ZamZyQiRIbpdkDndRTqzTbsbk63C4RoAMnjf5YuXYq77rqrzTaxsS6PTMsJLDw8HMOHD8eJEyc8/v7y5cvx4IMP8p+NRqPPG+/Oihhwnu/U6DAMSZKXeIGQZH0YzlY1dNjg5SzoxNHZE4Kfz1SjzmxDfIQWo3pHS/hkgUWyPhQnL9V1OPc9lxeak68tJXdSR+Hw+RpU11sQFRqMsf3lJzTHkaIPxZELHddRyJV5ZAnDRXyEFsFqFWwOQoXJ7LMImrBWsBwFnTi4funo2LP1hCvdrpcM0+0AICosGDpNEBosdlw0NGGAjyJowlrBs4cl+eMRA4LOnnRz6XYZvSLRN05+6XaAS0ehut6CUkNjh0Lo+VJhChiXOhpJuvNUBSw2B/rF6TAosfvT7STfdEdERCAiouMv5nA4cObMGWRmZnpso9VqodV27nSis15dVz6gvOu7dmYTUF7XhCMy93wDrlO3MqNT2MlXsbhcgWq5HIXmOLh+6shEbGiwyt7zDbi+b5UmM8w2O7TBvkWHcJuD6UPk6/kGOhepVG+2YU8Aeb4Z/iVIrUKvqFCU1DbioqHJ5033keZawRHaYGQPkK/KfWcrJ/DqwDKe67myjqcr6nGxttHnTbcS0u0AgS110Cm6Rcaq5UKSokJRXW/BRUMjhvqYtnK6woSiinpZp9sBnY+Q5NLtZgdIul23r8qWLl2KwsJCAEB9fT0eeOABlJaWYtGiRX79u9x/pMlsg9FHYSeh51vOJ7iAUMTA98GT83yP7K2XrecbABIjtVA3CztV1vtWIsMpNKeMUzdX6R7fbemnwnLYHYTBvSJk6/kGgNhwDV+PtNzoe7kVly3Je1zqjKDRzlOVsNgc6BsbGJ5vhv9J7oTqNPedkmOtYCHJnSjr2GCxYecpeafbcXRm7OFOJqekyzfdDhDU6u5AH5ltdmzn0u3kbkudEFPjUqQmDIyTbbodIBSc833d6BSaC5x8biAANt2zZs3CggULEBUVhbi4OOzfvx9btmxBVlaWX/+uSNjJx4n4WIkBFXVmhGuCkD1QnuIFHJ05neQdEzIOBwacwk6cIqKvtlRYZkJxjbPEymQZllgR0pnTSaU4uUQlMnw8JThXJRCaGyxfzzfQOUGjPIGTKxA83wz/0xl7yT0ub3VgDmGalK/CTruaawX3jpFfreCWdMqWZC4OxsGlb5bVmWH3sazj/tPVMJltSIjUYmSq3h+PFzB0pgSdq4ShvA9rkqNcOgqNFt90FA6dr0FNgxX6sBCM7RcY6Xbdvum+4YYbcOTIEVy6dAn19fXYt28fpk6d2iV/u6PhVHkCz7ev4Z89jZQOeiybrHbs+k3eJVaEdLQEXa5AaE6OJVaEdFRHwWqXf4kVIfwpgY9iapxjYvyAWN6hKFc6ekKghBIrjNZ0dOw5X9WAgrI6BKlVmJ4h73mMi0ZrsjpgaPQt+i9XEA4sd0dWSgedx2XGJhxprhUsd+cxp6NgdxAq6nyL2MoVbCblnG4HdHzdWF1vwS9nqwEEzgmuv+B0FADf10RC0cLgAEm3C4ynAKDT6RAU1LUb2I5OxFsUcoILCAcF3xwTSiixIqSjCotKCS0HxHlevpykHDjjLLESFy7fEitCUjooaMSFLsp9QQe4xiVOR8Fb8i/Uyr7ECqM1XA1qX8dn7jRpfH951goWEhoShLhwDQDfxh67g/hQVyU4sjpaOYGb6y8LgFrB/obTUQB8E5glIld5JwXYUkcP/radLIeDgKHJUegdI990O8ClowD4rhEQiLYUMJvu7qAj4a4ltY04cdEItULqu7qEnSww27wP7RCGA8vd8w24agn6EhFQUWd2lVhRkAOn3mJHndn7EhmcLcm5xIqQpA7kvhsarPiZ83wrwIHTUR0FLkppmoxLrDBa09HIiECq79oV8GOP0fuxRwm1goUkd9aWAmgD4E86Ilb831IjSg1NCAsJwiQZC81xdFRHQQmihUI6oqNQVGHC6cp6aILUASU0p+hVR0oHvCfcom1MvxjENnuF5Uy0LgShIU4zKTN4t7h1OEiUN6kEXPlw3g8K206WgwjITNXzE5ScCdMEIVrnm46CWGhOGYuVjpRb4YTm0hMj0C/ON0XdnkhwkBqJkb7nw+UqJA+OIaYjZWeU5sgCOlY2jFMHlnOtYCEpHYj+E9UKVogDpyPaJNz4PCU9HqEh8k7dBDqmo9BktWN7oTKE5jg6EhHAObkmpMUhQhs4qZvyHyHbgAsT8iVPQCmCThxOYSduE+Cdwf9aakB5nRk6TRAmDJRviRUhHQl/UVJoOUeSjyFnv5WbcL66AZogNabIXGiOI7kDobB5ChuXAN8Fjc5XNaCwzIQgtQrTBivnO8dwLdrK65pgszu8+h1hxQQlOLKADi5uTygzGqDWB2EnYcWEdIVUTOhIqSel2ZJQR6G2wTsdhX2nq9BgsaNXlBYjUuQtNMfRGVsKtGgARW+6U3z0xJnMNuxr9lYqJUQI8L38A+dhuiI9QRHeSsB3QYwmq91VYkVBtsTpKHhrS1xO5eWD4hAeQN5Kf+Iq0+ddH1ntDmxrFpqbrQDRQg5fQ4a5SXhc/xjZ5+d2JSaTCQ6HdxtZjvr6ep9/pzNwwk4OAsq9FHbafFwZtYKF+Bo6fabSVTFhWgCFcPqTqNBghDcLO3nrnNgisCUlpNsBvodOXzQ04tcSI1QqZyqZEhDqKHj7ndsiSFOQu9AcR7KP+ltVJjMOnqsBEHgHEYredAtzur0J7dhZWAGL3YH+cTqkJSjD8w24+snb00lXNIAyBk7A5ZgoMzZ5VSJjb1EVGq12JOtDMTxF/kJzHL5GBCjxBJdbrHiro3DgrFNoLjZcg8v6BEZZjK6A01HwdiLOO+larDA6z7Zt25CRkYHY2FhERkZi2bJlsNvbttfnn38evXr1QmJiInQ6HebOnYvTp0/7/VnVAmEnbzZKFpvDVStYQfbiaz1zLo1M7rWChYiEnbwYe0S1ghVoS76uG7P6xiA+Qt5Cc0J8idgSptspJRoAEOxBvFw3bm0WmhueEsUf9AQKit50c4vbBosdxqb2hZ24QWGWQsTBOFJ88FiW1jbi+EVleSsBl7CTzUGoMrV/kpKr0FrBvpRbqTKZcei801uplJxKAIjRhUAb7L2OQp7ChOY4fDnpNjZZsf+0Mz9XSQ4cf1FSUoL58+dj4cKFMJlM2LNnDz766CP8/e9/9/g7n332GZ588kl88MEHqK+vR0lJCRobG3H77bd3yTP7Yi/7z1TBZLYhPkKLUb2j/fxkgUOyjyl3m/lTN+WMz4BvlW9EtYL7K8cpmuxrVJvChOY4fImS/LXEiDKjM3VzokJSNwHBHsTLccml3RJ4tqToTXeYJggxnLBTO14mu4P4EE6lLdpcXqb2DZ7zfGf1jUGcgryVQmGn9gSwiEiRJ7iAb+VWtjYLzQ1PieInJiXg1FHw7pRA5PlW2MLXl6iJ7QUVsDkIaQnhGBCvnCglf/Huu+8iPDwcTz31FDQaDUaNGoWlS5fizTff9Bg2fuLECaSmpmLOnDkAgLi4OFx//fU4efJklzxzkg9iarmCzaRSQjgBYbnC9oWdagS1ghU3j0V5P/ZwtjQ9I0ERQnMcKYLov/Z0FOqarNhb5Ey3U1I6B+CbjgKXbqek1E3ANx2FJqsdOwoD15aUMwJ4wNtNwOHzNaiutyjOWwm4Tgi8KSMijAZQGq5c3Lb76b+lRlwyNinOWwkIT7rbt6U8JduSl9ElRRUmnKvihOaUkVPJ4csJQZ4CQ/L8yb59+zBx4kSo1a4lxNSpU1FRUeExXHzhwoWoq6vDm2++iQsXLmD//v1Yt24dli5d2iXP7G2UjdORpcyxp5fe6Sg329oXdtpW4AzhHJIUiT6x8q4V3BI+x9SLk7ctCh174gQ6ChXtRP/tPFUJq50wID5cUambgG86CkorYcjhi45CoKduKn7TneJlDtMWvr6rsryVgPflVkxmG/byQnPKOnUDhKcE7djScWWVxRAiFMRo6ySlyWrHjlPKy6nkSI727qSbK9czMU05QnMcnDOwPR0Fm92BbQrMz/UnFRUVSEgQO3m4zxUVFW5/Z8iQIXjjjTfwyCOPICMjAxMnTsTAgQPxv//7vx7/jtlshtFoFP3rKN6eKB2/aERJbSNCQ9SYrJCKCRza4CDERziFndobe7gImzkK2wAA3pebLaow4XRFPUKCVJg6WFlO0SCBjkJ7ayJhZImS0u0AQQm6dvqouKYBxy8aoVZY6ibQHP3nZUrHZkGaQiDakrJ2j25I0nt3OqnUcGDAtVipqregyeo5tGPXKafQXN9YHQYppCyGEG8FMThBJyXaEheW12Cxw9joWUdBVBYjNfC8lf7GW0GjPIWGlgNAQoRLR6GyjZOUX87VwNBoRYwuBFl9lRWl5C9UKlUr0TSbzfl9Fp5+C/nss8+wePFibNy4EQ0NDSgvL0dDQwOuueYaj3/nhRdegF6v5//16dOnw8/sbVRbbrMja4rCQjg5krwYe8w2u0toToGbbm+F1PhawQPjEKkQoTkh3ji6bHYHthYoM7IE8GHd2LwHGdsvFrHNiudKwpuyYQ4HBXxUm+I33ZwgRlt5uGcFZTGU5q0EAH1YCMKaFx9lbYRTcadugeph8jfeDApKLIshRKSj0Ea6gktoTqm21P4GocpkxsHzgVkWoysIDlILFKk99xOfU6kwoTl/kpKSgrKyMtE17nNycrLb31m/fj2uuuoqPqc7Pj4eTzzxBLZv346CggK3v7N8+XIYDAb+34ULFzr+zNHeLW5d9V2V950CBGNPG3P93qIq1CusVrAQb4XUeFsK0A2Av/FGTO2XczWobbAiWheCMf2U5xRN0XsX/edSLVfeuhEQHkR4Hr+PlRhQXmdGhDYYEwbGdtWj+YTiN91JXpQR4Yx9/IBY6MOU560UCTt58H4LheaUeOoGeLdR4ryVo/tEK6oshpD2BI2ICFtPKN2W2h+XthVUgAgYlhx4ZTG6Cm/E1PJOKvcUxV9cccUV2LlzJ8xmV4TB5s2b0a9fP/Tt2xeA8+S7srKSPwHX6XRoaGgQ3ae+vh4AEB7uPo9Tq9UiKipK9K+jcLZSXmeG1YOw00VDI46VGKBSOZ00SsSbxa3QKaokoTkOzpYMjVY0WNxHbAVyreCuor11I+Byis4YkohghaVuAmIdhRoPOgrGJiv2neZSN5VpS9y6sa0DUm5cmjo4AdrgwIxSUp6Ft8AbEQMlCzpxJLcjppZ/wSk0FxkajHEDAtPD5G9cQmpt2VJgh750Be0JGh2/aESpoQlhIUG4PE1ZOZUc3gipMVsSnxK4o6jChDOV9dAEqXGFAqOU/MXvf/97REREYPHixTh58iQ+/fRTrFq1Cn/961/5Nvv27UNCQgLy8/MBALfddhs2b96MlStX4ty5c9i9ezceeeQRTJkyBb179/b7M8eHaxESpAKRc+PtDqFTNCFSmU7R9sYeIuJD8JUaDRAVGoKIZg0NT2PPtoIKOJqdoqkKdYpym25P60Yi4vWSlGpLQh0FT072HYUVsNoJAxPCMTBBeambgGvd2FYqMF92LoCjAdimW3Dq5i60w9Bgxc/NZTGUvOlOimpbJIwLLZ+Wkag4oTkO1wTjXtipwWLD7iJleyuB9nOYuAXdZAUKzXG0p6Ngttmxo5ATBwvcCcbftG9Lzkk4e2Asv0hmdJ7o6Ghs27YNdXV1mDlzJp577jn84x//wD333MO3CQkJQVxcHEJCnNFhN910Ez799FN8+eWXmDJlCpYsWYKZM2di48aNXfLMaoGwk6dTXG7RNntYUpc8UyCS0o6Io6j6Rpqyqm8IaS/3fcvxSwCUG1oOuNbXntaNouobCnaKtm9Lyk5TANrXUbhQ3YCTl+oQpFZhekbgrokUvwrhFreNVqewk14nDh//qbAcdgdhcK8I9I1TVlkMISntnOIqWdCJIzEyFEFqFezNwk7cAo9j56lKWGxOobl0BQrNcbSXD8cJzSnV8w0A0boQhIao0WR1oMzYhH5x4vDbfaerFZ1TydGejgJ3cqnkxYq/yMjIwNdff+3x59nZ2aisrBRdW7BgARYsWODvR/NIij4MxTWNbu1FWH1jdgCflPgbLuXO01zPqQMrrVZwS5L1ofit3OTW4RfotYK7Cv4goh1bmpgWp2inaLI+DL+WGN3qKFjtDmw7qezIEqD9dSMXWj62XwyidYErNKfMI0kBoSFBvBKgO89uroJVy4W48pVb99G5qnqcKjchSK3CtMHKXawEqVXo1RySWOrmJIU7dZupwLIYQtrKVy4zNuFosbJzKgGnjkJbJehceXDKzKnkaGsirqm34JdzziglJYoWMlqT3IaY2s5CZ/WN/nE6pCk0hBMQf6fcRf8ptVZwS9pKbeFqBSdFBWat4K6C+76V1zXB5kZHgdmSk7ZK0B04Ww1jkw2x4RqMVnD1jeR2dBR6imih4jfdgGfPrtXuwE8KFwfjaOtEiXNMjOsf0ypSQGkkefDsOkRCc4E9KPibtsKEuJPJUb2Vm1PJkeQhH46IWGRJM56+bwCwraAcDgKGJEWid4xyo5QYLtoae7bw3yllVkzgSIzyLOxUUtvI1wqenqHccGDAS1sapmwHO6ej4HCjo1BRZ8bhC7UA2DyW1IaOApduN0Ph1Tci29BRMDRasf+008HONt09AE85TAfOVqOuyYa4cA0u66NcDxPQtuBcnmCxonSSPZSgyy+uRaXJKTQ3XqFCcxwpbego5PUQb2VX4Ckf7sTFOpQamhAaosakQcoUmuPgbMmdjgILLWe0JMVD5QSbIIRT6aduTmEn9xFb3Pg8pl8M4hRafYPDUwk6Ua1gha+JRDoKLfpp28lyEAGZqXp+rlMqnvYgTqE5pzaA0m0JEFZWEI/f2wsrYHMQ0hMjWqXiBRps0w3PIgach4nVdwWSm4XUqlsIOxkarfj5DBOa40j2INTDhVFNHZygWKE5jiSBjoKh0XWS0mixY9dvzjy4mQr3fAOew/C5MKrJg5SdUwkACZFaXkehQnCSYrE5sL1ZaE7pqUEMF56E9w6eq0FNc63gsQqsFdwST5FtTNDJhafSl8dKDCgzmhGucKE5Dk9lw7YwxwSPq3SxuI8Ky0y4UN0ITbAaVwxWtoMdcI3fLZ0TW3pQmoKyV//NuKuvTES8oBMbFICosGDoNM4FvjAEhvMwDUqMQP/4wPYwdQXcSXdLQQx26uZCqKMg/M7t+q0SZpsDvWPCkNErsrseL2DwVILOFQ3AHBNCHQXhRmr/mSqYzDYkRGoxMlW5QnMMMZ7ycDlH1owMZdYKbkmym/I8rFawmJR2nKJTMwK3VnBX4q4EXaPFjp2nmqtvsHnMo46Cy8EeD51GuUJzHClubMliE6YBB/64xGYXuD9R+q1cUMognXmYVCqVWy+TUByMIQx/cfXRheoGFJTVKV5oTkiSm5AzXlRF4TmVHO5OCMqMTThSbACgbKE5Ie5yK/lxaUiiooXmGGI4W6kwmWGxOYWdiKhHnZR0BfzYI/hOsVrBYjhbMjbZUG92CTttOc4Oa4Qku1k37v6tEk1WB1L0oRiWrFyhOQ5OR8Fic6C63sJfZ7Ykxl2kEpcGHB+hwWV9orvpybyHbbrh3hPHiYNNTItDuIJLGQhp6WUSC82xQQFwXyJDWMpA6UJzHCktNAIcDkLeSa5SANtMAoJxSRA1sbW5j0b1iUZiZKjb31MayS0UzImIVZ1guCUuXANNkBpETkVlACiqqMfZZgf7FQquFSyE+05dcuPIUnLZIiGRoSGIbCHsxNUKdgrNsXkMaHtNNGsYc7ADYh0FzpbK65qQ3yw0x9ZETlquGwGXY6KnCM2xTTfEIgZcaIdwUGA4aZnnxZUyiNGFIEvBpQyEcGFCZXVmXtipp5Qy6EqSW+TDHSmuRaXJjAhtMLIHsDw4wOXkEuoouBa+bBLmaFlu5eSlOpTUNkIbrMZkhQvNMcSo1apWkRHc+DxB4bWChbiibJzfKavdwTv82JrIRcsSdFzqz9j+sYgJD9xawV1JS3FZh8PlFGVrIhctN5Rb+Uouel6MTum0XDc6Hezc+jqp257LF9imG+ANusnqgKHRiiqTGYfO1wBwhicynLQMw+fylJnQnIv4CC2CBcJOxiZXKQN26uai5cKXs6WpgxOgCWbDEuDUUQgLcekoiIXmmC1x8IJGRs6WXHlwYRqWU8kQ03LsYeJgrWkZZSOsFcwc7C6SWmgEcOJgc5gt8bTUB8hnDna3uEoXO/uJjUutabkHOXmpDsU1PcvBzty6cAo7xYVrUFVvQWltE45fNIIIGJ4SxZ9cMgRhnM2lnngPE9sA8AQ1l8goqW1EqaERpbWNsDkIaQnhGMCE5nhallvJFdQ1ZThRqVRIjg7F6Yp6lBoa8Vu5CWabA6nRYRiSxITmOFqedHOnKOxEjuEOob1UChzsSq8VLEQY1UZErFawB1y21CSqFcycoi44B055nRlWu8NVySWDOdiFpAgiAhosNt7BzuYxF9wehNNR4GxpSnrPcbAzi29GmKDvEgdjxi4kSSCuUlQhEJpjeXAihCXocpkQhluSolwnBMU1rjw4JjQnRliXkndMDE1keXAChCeXojw4FqXEcIPwdHJrc63gEalRiq8VLKRXVChUKqewU1W9hdUK9oBw3Sis5MIc7C7iwjUICVKByCkEyg5r3JMkcAbuOsUqubgjQhss0FFoFKyJeo4tsU13M9yEe7aqATuaSxmwQUGMS0itkT9NYnlwreE2SsU1DdhWwJXFYLYkRHjSzTkmWB5ca7hxqbS2kReaY7YkhjshKK8z8yF5o3rrkcjy4BhucDf29KRFW1egCVbzwk47Civ4WsGskosYYQk6ZkvuEeoo7D9djcIyk7OSSwY7rBEijC4RbiaZg10Mp6OQf8GAI8UGqFTAjB4UpcR2S81wBv/V4RI0WOzoFaXFiFRWykAIN3DWNFjx7dFSACwkzx2cLX179CIMjVYmNOcGoY7ChkMlAJgtuYOzpc3Hy1BRx/Lg3MHpKNgchH//fAEAi1JieIbLnTxb2YDz1Q0AWN6kO5L1oaioM+P9vecAODUSWCUXMdya6EJ1Aw6ZzACYLbkjOSoMF6ob8cE+py2N7x+LaB1zsAvhHOwltc5UMoBpA7gjSR+GwjITPmy2pct6WCWXLjnprq2txb59+1BZWemxTUVFBQ4fPoza2tqueKRWcN6TYyXOGrgzhjAPU0uiQoMR3pw38WuJEYAzx4shhhs8OVuansHy4FrC6SgArn5iG6XWtLSlKwbHszy4FnA6CoDQlti4xHAPFxlRUFaHRqud1Qr2AOfw49I12Alua7ioidOV9T2qVnBX4zqdrAXAorXc4YqQbERVvQWRocEYNyC2m58q8Ejp4eOSX1dvp06dQk5ODoYOHYqJEyfihx9+aNWGiLB06VL07t0bt956K5KSkvDkk0/687HcktIin2s2E3RqhVPYydVPQ5Oj0DtG141PFJhwEzEHm2Dckyzop4Hx4UhLiOjGpwlMklvaUg+bYLoKbsECgG2iGG0itBWA1Qr2RMscd+bIak1Siz5iQnPuaWlLLKqtNZyOAsf0jESEBDEHe0ta2lJPiyzx6//osWPHMHHiRBQVFXls89Zbb+HDDz/EoUOHUFBQgNzcXDz//PP46quv/PlorUgSTMShIWpcnsZyl9whXLCwgdM9wok4JEjF8uA8wImpAWxB5wnh902tck7EjNYIx++ZLA+O0Qax4RpRtAhzZLlHOPawWsHuidAGIzLUFXLPbMk9Qlsa3CsC/eKY0FxLhDoKADus8YTQlvrG6pCe2LMOa/y66b7xxhvxhz/8ATqd59PQd955BzfffDOGDx8OAJg8eTJmzpyJdevW+fPRWiE86Z6SnoDQkJ4hP9/ViDfdbFBwR4qgjyYMjENkaEg3Pk3gIowIYLbkHqFXd2w/JjTnCWFpR7ZYYbSFSqXi57EIbTCyB7IQTncIo9rY+OwZbu2oDVZjMnOwu4WtG72DWzsGq1WYyqoCuSW5xbqxpznYuzV2wW634+jRoxg3bpzoenZ2Ng4fPtylz9JLL/AwsVM3j3CnuAmRWmSm6rv5aQKTuGZhJ4BNMG3BnU7qw0Iwph8TmnNHVGgwdM06CiwawDOcOFa4JggT2CaK0Q6cvUzNSIA2mDnY3SHcKM0ezuYxT3Dz2JT0eOg0TGjOHULncU8LB+5KOFuaMDAO+jB2WOMO0bjUA23JpxGiuLgYxcXFbbYZNmwYoqK8y6erq6uD1WpFbKx4kRQXF4eqqiqPv2c2m2E2m/nPRqPRq7/XFtrgIIzpF4NzVfVso9QGEwbGYmUecOu4PlCz3CW3BKlVyB4Yi/+WGjF3RFJ3P07Awqlw3zK2N4JZ7pJbVCoVJg6Mw89nq3F1ZnJ3P07AMn5ALFQq4Mas3mwTxWiXiWnO79QtY/t096MELIN7RSJGF4J+ceGsVnAbTEyLw/bCCmZLbTAwIRwJkVrER2gxqnd0dz9OwDJxYBx+/G8ZFo5jtuSJPrE6pEaHITREjbH9e95hjYqIyNvGb731FtavX99mm1WrViErK6v1H1Kp8MEHH+D222/nr9XX1yMiIgLvv/8+7rjjDv76ihUr8Nxzz3ncTD/11FN4+umnW103GAxeb/jd0WS1w2J3IIqFA7dJlcmMGJ2GbbrbwGyzo8nqYN7KdqiptyAqLISJz7SBxeZAo9XObKkdahssiNAGB4wDx2g0Qq/Xd3peYriQqk/tDoKh0YpYlq7RJiazDUEqFcI0zJHlCYeDUNNgQZwgH5fRmnqzDSoVWDRAGzBb8o4Giw1ECKgSht7OTT498b333ot777230w/HER4ejri4OJSWloqul5aWol+/fh5/b/ny5XjwwQf5z0ajEX36dN4zFBoSxHK5vYANCO2jDQ5iJ25ewHKU20cTrGZlwryA1X1leEuQWsU23F4QEUCL2kBFrVaxNZEXBNIGKVBhtuQdPdlx0+0ruZkzZ+Kbb77hP9vtdnz33XeYOXOmx9/RarWIiooS/WMwGAwGg8FgMBgMBiPQ8Ku7wGg04vjx4/znoqIi7Nu3D4mJiRg4cCAA4G9/+xuys7Nx3333Yf78+fjggw9QW1uLhx9+2J+PxmAwGAwGg8FgMBgMht/x60l3QUEBli1bhmXLliE7Oxvff/89li1bhk8//ZRvM2LECOzevRt1dXV48cUXodPpsHfvXvTu3dufj8ZgMBgMBoPBYDAYDIbf8UlILVBhgjUMBoPBCCTYvCQ9rE8ZDAaDEWj4RUgtUOH8BlKUDmMwGAwGo7Nw85EM/NoBA5vrGQwGgxFoeDvfy2LTzdX0lkLBnMFgMBgMqairq4Ner+/ux5AFbK5nMBgMRqDS3nwvi013bGwsAOD8+fOdXtyMGzcOBw4c6PQzSXUfqe7FlVW7cOGCJGF5gdZPUt1Hyn4KNBuQ6j7MlryD2VL7yNmWiAhjxoxBSkpKp5+H4SQQ53op7yXnsSfQ+jsQ+0jKezFb6rp7BWIfSXkvZkvt4+18L4tNt1rt1IPT6/Wd/o8MCgqSZPEn1X2kvpdUJdYCrZ+k7CNAmn4KRBtgttR19+FgttQ+crUljUbDz0+MzhOIc72U95Lz2BOI/Q0EVh9JeS9mS11/r0DqIynvxWzJO7yZ79lqoAVLly4NqPtIfS+pCLR+knMfSXkvOfdToN1HSpgteUegvVsg9hHDCftOeUcgvlug9VMgvlug9REQmO8WaP0UiO8WaH0EBOa7eXMvpl6uEFgfeQfrp/ZhfeQdrJ/ah/URwxeYvXgH66f2YX3kHayf2of1kXewfpLJSbdWq8WTTz4JrVbb3Y8SsLA+8g7WT+3D+sg7WD+1D+sjhi8we/EO1k/tw/rIO1g/tQ/rI+9g/SSTk24Gg8FgMBgMBoPBYDACEVmcdDMYDAaDwWAwGAwGgxGIsE03g8FgMBgMBoPBYDAYfoJtuhkMBoPBYDAYDAaDwfATAVOnu6SkBEeOHIFer8fo0aOh0+latTGbzdi9ezdMJhPGjx+PpKQkn9vk5eWhoqJCdK1fv36YOHGitC/kB6xWK/Lz81FeXo6MjAwMGjTIbbvTp0/j6NGjSExMRHZ2NoKCgjrUxm634+eff0Z1dTWys7MRHx8v+Tv5g4sXLyI/Px+RkZEYPXo0wsPDW7WxWCzYs2cPDAYDxo0b57agfVttmpqa8NVXX7n9+6NGjcLQoUMlex9/YLPZcOTIEVy8eBHp6enIyMhw2+78+fM4fPgwYmNjMXHiRAQHtx4yvGnz3//+F0VFRYiKisKYMWMQGRkp+Tv5g7KyMhw+fBg6nQ6jR492+9w2mw179uxBTU0NsrKy0KdPnw61qampweHDh9HQ0IAJEyb0mO+b3W7H0aNHUVJSgrS0NI+2X1xcjIMHDyI6OhqXX345QkJCWrWpra1FXl4ekpKSMGnSpA7fhxG4GI1GHDp0CFarFSNHjkSvXr3ctjt06BDOnTuH9PR0jBgxwuc2x48fx9GjR0XXNBoNbrzxRmlexM8UFBSgsLAQycnJyMrKclv/tba2Frt370ZQUBAmT56MiIiIDrUBgJMnT6KgoADDhg1Denq65O/jD0wmEw4ePAiz2YyRI0e6XRMCQH5+Ps6cOYO0tDSMHDnS5zY//vgjampqWv1OYmIiZsyY0fkX8TOnTp3CyZMnkZSUhKysLLfrPaPRiN27dwMAJk2a5FZd2ps2JSUlOHbsGABgxIgR6N27t5Sv4jfq6+tx6NAhNDQ0IDMz0+2aEACOHj2KoqIiDBgwAJdddlmH2lgsFhw+fBgXL17EsGHDMHjwYAnfxL8UFRXhxIkTSExMRFZWltv1nslkwq5du2C32zFp0iRER0e3amOz2ZCbm4uGhgaPY7I39+lxUDdTVVVFN954I/Xp04euvvpqyszMpKSkJMrLyxO1O3XqFPXv358yMjLoiiuuIJ1OR+vWrfO5zaRJk2j48OG0cOFC/t8///lPv79nZ/n3v/9NaWlpNG7cOLr66qspKiqKbrnlFrJYLKJ2TzzxBOl0Opo1axb17t2bxowZQ5WVlT63yc/Pp/T0dEpPT6frr7+eBg8eTBs2bPD7e3aG2tpauuWWW6h379501VVX0WWXXUaJiYn0/fffi9qdOXOGBg0aRIMGDaJp06ZRWFgYrV692qc2tbW1IhtauHAhTZs2jQDQRx991CXv21G++uorSk9Pp6ysLLrmmmsoOjqarr32WmpsbBS1W7FiBYWFhdGMGTOoX79+NGLECLp48aJPberr62nmzJkUFxdH8+fPpzFjxpBer6f//Oc/XfKuHaW+vp5uv/12Sk1NpSuvvJLGjh1LsbGxtHHjRlG7kpISGjZsGA0YMIBmzJhBYWFh9PLLL/vc5qOPPqKoqCiaNGkSzZ49myIjI+mDDz7w92t2mk2bNlFGRgaNHj2a5s2bR7GxsTR37lyqr68XtXvttdcoLCyMpk+fTgMHDqQhQ4ZQcXEx//Pa2lrKycmh5ORkSkxMpJtuusnt32vvPozA5m9/+xulpKTQ1KlT+e/C888/L2rT1NRE11xzDcXHx9OcOXNIr9fTnXfeSXa73ac2zz77LMXFxYnG6MWLF3fZu3aUX3/9lSZOnEgZGRk0b948flwtKioStfvxxx9Jr9dTdnY2jR49muLi4mjXrl0+tzEYDHTNNddQbGwsXXvttXTZZZfRsmXL/P6eneXZZ5+l1NRUuuKKK2jWrFkUFhZGTz31lKiNxWKhG264gWJjY2nOnDkUHR1Nt956K9lsNp/aPProoyI7uuWWW0itVtMdd9zRZe/bEU6ePElTpkyh9PR0mjdvHg0YMICGDBlCBQUFonbbtm2jmJgYGjt2LI0bN45iYmJo27ZtPrdZvnw5hYaG0uzZs2n27NkUGhpKy5cv9/Nbdp4VK1ZQ7969acqUKTR79mwKCwtr9dw2m40WLlxI0dHRNGfOHIqNjaUbbrhBtAb3ps2xY8do0KBB/Pc7NjaWlixZQg6Ho8vetyP89ttvNH36dBo0aBDNmzeP0tLSKD09nX799VdRu127dlFcXBxlZWVRdnY26fV6+vHHH0VtXnzxRerbty8NGDCA9Hq927/nzX16It2+6T5//jxt2LBBZHBLly6l+Ph40QQ6depUmjNnDj8Qrl69mjQaDZ07d86nNpMmTaInn3zSz28lPZ9//rlocXnmzBnS6/X0yiuv8Nd27txJAGjr1q1ERGQ0GmnIkCH0hz/8wac2tbW1lJycTDk5Ofz/QX19PW3ZssWv79hZLl68SJ9++qnIbh566CHS6/VkNpv5a1deeSVNmzaNrFYrERGtX7+egoOD6dSpUz61acmjjz5K0dHRrTavgcbGjRvp7Nmz/OeSkhKKj4+np59+mr928OBBUqlU9M033xARUUNDA40ePZpuvfVWn9qsWrWKdDqdaCN+7733Ut++ff32flJQXV1NH3zwgWjhxTmrjEYjf+2mm26i8ePHU1NTExE5v6cqlYqOHj3qdZtLly5RaGgovfrqq/zvbNq0ibRarWjsCkS+/vpr0WagrKyMkpOTRQuWX3/9ldRqNX3++edE5NwwjR8/nq6//nq+TWlpKb399ttkMpnouuuuc7vp9uY+jMBm7dq1ZDKZ+M9ff/01AaB9+/bx11544QVKTEykkpISIiI6fvw4hYWF0b/+9S+f2jz77LOUnZ3t71eSnL1799LevXv5z2azmd8McNTX11NCQgI9+uij/LWcnBzq378/P2d504aI6IYbbqDhw4dTVVUVfy3QnaJERO+8845oLN68eTMBoO3bt/PXXn31VYqNjeXH0VOnTlFERAStWbPGpzYt2bZtGwGgn376SerXkpQDBw7Qzp07+c8Wi4VmzZpFU6ZM4a81NTVRSkoK/eUvf+GvLV26lFJTU/l1kzdtCgsLCQB9+eWXfJvPP/+cAFBhYaGf3lAa3n33XaqtreU/79ixgwCINnmrV6+mqKgo+u2334jIuQaPjo6m1157zac2Y8eOpWuvvZZfW5SWllJcXFzAH9YcPnxY5GSxWq109dVX07hx40TX+vXrR/feey9/7aGHHqLExESRI/7111+n4uJiev31191uur29T0+k2zfd7sjLyyMA/CB44cIFAkDfffcd38ZisVB0dDR/YuRNGyLnpjsnJ4e+/PJL2rt3LzU0NHTRW0nP9OnTRZ7We++9l0aPHi1q849//IMiIiL4SdabNq+++iqFhYWRwWDw8xv4n927dxMA3rNbVlZGKpVKdGpvs9koISGB/v73v3vdpiVWq5WSk5Pp/vvv9+Pb+I/58+fTDTfcwH9+6KGHaNCgQaI2a9euJY1Gww963rR59dVXKSEhQeQIWbFiBSUlJfnrVfzGkSNHCAAdPHiQiJwOq+DgYHrvvfdE7fr160f/+7//63WbH374gQC0OrGNiIigl156yV+v4zcWLFhAV111Ff/5scceoz59+ojavP/++xQUFCRa6HB42nT7eh9Gz0Cj0dBbb73Ffx4+fHircfTGG2+kWbNm+dTm2WefpczMTPr2228pNzeXysvL/fQG/mfFihWUkJDAf964cSOpVCqRM/P48eOijaA3bU6cOEEA6Ouvv+6iN/EvkZGRosjFMWPG0N133y1qc9ttt9HkyZN9atOS22+/ndLT0yV66q7ln//8J0VGRvKfv//+ewIgcsSfPn2aANAPP/zgdZtjx44RADp06BDf5uDBgwSg1WloTyAhIYFWrFjBf540aVKryIbFixfT2LFjvW5jsVhIrVaLnINERNdffz3NmTNH6lfwO2+99RZpNBr+0JRzRgkjKYqLi0mlUtFXX33V6vc9bbp9vU9PIiCF1HJzcxEdHY3U1FQAEOWHcISEhCAjI4P/mTdtODZv3ox169bhf/7nf5Ceno6tW7f69X38QU1NDQ4dOiR632PHjrXKa8vMzITJZMLZs2e9brNjxw4+z/v777/H1q1b3eYz9QRyc3MRHh6O/v37A3DmFhORqA+CgoIwbNgw3k68adOSTZs24eLFi7j77rv99zJ+wmQyYf/+/a1sKTMzU9QuMzMTFosFhYWFXrdZvHgxMjMzcdNNN2H9+vV4/vnnsXr1aqxatcrPbyU9ubm50Gq1fL7jyZMnYbPZWn2fRowYwduJN2243LGTJ0/yPy8uLkZ9fT2OHDnit/fxB42NjdizZ49X45LdbseJEye8vrdU92EEDjt27IDFYuH/X202G06cOOH2/5n7vnjThuPcuXNYuXIl/vrXv6Jv37546aWX/Pg2/iMvL6/Vdyo+Pl6Uwzx06FCEhISI1kTttdmxYweCgoIwffp07N69G9999x2/Duhp/Pzzz6irq/Nq7BHaiTdthBgMBmzYsKFHzvWAcx5r2UeRkZHo168ff23AgAEIDw8X2VJ7bUaMGIGHHnoIOTk5WLNmDVavXo3FixfjkUcewfDhw7vo7aTh6NGjqKiokNyWQkJCkJCQIJrrHQ4HCgsLe9xcDzhtafjw4VCpVACc76/RaEQ56qmpqYiNjfX4fXKHVPcJRAJGSI1j586deOWVV/Daa6/xYg8GgwEAEBsbK2obFxeH2tpar9sAwN/+9jfMnj0barUadrsd9913HxYuXIjCwkLExMT46a2kxeFwYNGiRYiJicEf//hH/rrBYHD7/gBE/dRem/LycthsNmRlZWHgwIGoqanBiRMn8Pbbb+OWW27x01tJz/79+/HCCy/g+eefh0ajASCtLQlZt24dsrOzW21CAx0iwj333IPg4GD8+c9/5q8bDIZWYl/ubKm9NjqdDhMnTsT7778Pq9WK0tJSpKSkIC0tzU9v5B+OHDmCJ554Ao899hgvptaWnRQVFXndJjMzEzfeeCPuvPNOPPjggwgLC8PatWvRq1cv/vd7Cvfddx+sVisefPBB/prBYGglptPSTrxBqvswAoOqqiosXrwY1157LS6//HIATgegw+Foc+z1pg0AzJgxA/fffz/0ej0A4PPPP8ctt9yC0aNHY/bs2f57MYl58803sXXrVmzfvp2/5m4eB4CYmJg25/qWbcrLyxEZGYmbbroJBoMBMTEx2L59O/7whz9g5cqVfnkff1BbW4u77roLc+bM4YXNmpqaYLFY3NqJwWAAEcFsNrfbhttQcHz88cew2Wy46667/PtSfmDdunX47rvvkJeXx1/zZCct10TttQGAMWPG4KuvvsIXX3wBwPldzcrKkvYl/ExdXR1uv/12TJs2DVdddRUA5zrJaDS6tROz2YympiZotdp224SGhuKJJ57AAw88ALvdjiFDhuA///kP6urqetxc/+GHH2LDhg3YtGkTf40bQ1rS1trZHVLdJxAJqJPugwcP4tprr8Wf/vQnLFmyhL+u1WoBOL/AQkwmE0JDQ71uAwBXXnklrwIaFBSEp556CpWVldi7d6/0L+QHiAh333039u/fj++//16kHqnVat2+PwBRP7XXJjQ0FD///DPee+89fP/999i3bx8eeughLF68GEaj0W/vJiXHjh3DNddcg5ycHDzwwAP8dSltiePSpUvYtGlTj/R8/+Uvf8GPP/6ITZs2idSypbKll156CWvXrsWBAwfw7bff4tChQ5g8eTLmzp2LxsZGv72XlBQUFGDu3LlYsGABHn/8cf66lLb0+eefY8WKFSgqKsLRo0fx5ptvIj093aPScCDyyCOPYOPGjfjuu+9Ep2ve2Ik3SHUfRvdjMBgwd+5cxMfH48MPP+SvS/mduvzyy/kNNwAsWLAAI0eOxDfffCPty/iRTz75BA888ADWr1/POyYA998FoHU/tdcmNDQUtbW1mDRpEvbt28dHtr3xxhv47rvv/PRW0mIymXDNNddAp9Ph008/5a9rNBqoVCq3dqLVaqFSqbxq05J169bhuuuuQ2Jion9eyE9s2LABS5Yswdq1azFt2jT+ulS29PPPP+O2227D6tWrkZubi9zcXKxevRq/+93vcODAAf+8lMQ0NDRg/vz5AIAvvviC///nbMWdnQjtqL02gNMxnZubC4fDgZ07d+LGG29ETk5Oj5rrv/32W+Tk5OD111/HlVdeyV/3xk68Qar7BCIBs+k+dOgQZs+ejUWLFuGVV14R/Yw7FTt//rzo+vnz5zFw4ECv27iDO7VqWUYsECEi3Hvvvfj222+xdetWDBkyRPTztLS0Vu9/7tw5qNVqPrza2zapqamYMGEC3+amm25CfX29KCwmUDl27BhmzJiBBQsW4PXXXxf9zJOdnDt3rl1bErYR8t577yEsLAwLFy6U7B26ggceeAAffvghtmzZglGjRol+5slOAIj6qb0227dvx9SpU0VlgRYsWICLFy+ioKBA2hfyA4WFhZgxYwZmz56NdevWiRZhUtqSWq3G7bffjlWrVmHNmjUYO3Ys8vPzPZYkCTSWL1+Ot956Cz/++CPGjh0r+pk3duINUt2H0b0YjUbMmTMHarUaP/74o6gMX1hYGJKTk9v8vnjTxhNRUVE9Yq4HgE8//RSLFi3C22+/jdtvv130s7S0NFRUVKCpqYm/VllZiYaGBtHY400bwDm/c0yYMAGpqak4ePCg395NKkwmE6666io0NjZiy5YtopJC3JqmLTvxpo2QI0eO4ODBgz3Owb5x40bcdttteOONN5CTkyP6WVpaGmpqalBXV8dfMxqNqK2tFdlJe222b9+O6OhoURTJ7NmzodfrRVEagUpjYyPmzZuHqqoq5OXl8VFUHJ7mn/79+/MHed60AYApU6bg5Zdfxvr163HXXXdh//79PWau/+6773DzzTfj5Zdfxn333Sf6WVpaGurr61FdXc1fa2xsREVFhc9zvRT3CUi6L53cxeHDhyk2NlakjCjE4XBQnz596OGHH+av7du3jwDw5S+8aWMwGFop373//vs9QujB4XDQPffcQ4mJiR6fdf369aTVaqmsrIy/Nm/ePJo2bZpPbb755hvSarWiMmKcCiWnFhuo/Prrr5SQkEB//OMfPZZgGDRoEP3pT3/iP+fn5xMAys3N9akNx+DBg+mee+6R8C38zwMPPEAxMTH0yy+/uP35559/Tmq1WqSefeutt4pEQ7xpk5OTQ5mZmaL/C+47V1FRIeUrSU5hYSGlpKTQHXfcIRKCEzJq1ChatGgR//nUqVOtxD68adOyL1auXEk6na5HlMNavnw5RUVFiRSXhXzzzTekUqlECraLFi2iESNGuG3vSUjN1/swAg+DwUDZ2dk0fvx4j+J3OTk5NGrUKF7dt6GhgVJSUujxxx/3qU1paanovmfPniWdTieq+BGofPbZZ6TRaGj9+vVuf37hwgUKDg6mf//73/y1N954g8LCwqimpsbrNgaDgXQ6HX3xxRd8m8rKStJqtfTuu+9K/l5SYjKZaMqUKTR69GiR8rqQpUuX0pAhQ3iR2KamJurfv79onehNG47777+f+vfv73E+CES++uor0mg0HtXYy8rKSKPRiMS93nnnHdJoNPw60Zs2n3zyCanVatEakRO/+uSTT/zxapLR0NBAM2bMoBEjRngUXHzooYdo4MCBvFq7xWKhwYMHi9aJ3rRpOdcfOXKEgoOD6bPPPpP6tSRn06ZNFBoa6rHMcnV1NYWGhops7cMPP6Tg4GC3axlPQmq+3qcn0e2b7nPnzlFcXByNGDGCPvnkE9E/4abviy++oODgYHr44Yfp1VdfpT59+tDChQtF92qvTWFhIQ0bNowef/xxWrduHS1btoxCQ0PdDq6BxvLlywkAPf7446I+Ekr4WywWys7OppEjR9Ibb7xBixYtorCwMNq/f79PbYicG/GsrCxas2YNvfjiixQfH09//vOfu+p1O0RpaSn16tWLhgwZQh9//LGon4ROhm+++YaCg4Np2bJl9M9//pMGDBhA1113nehe3rQhcpWWOHDggJ/fTjqee+45AkD/7//9P1EfCUvC2e12mj59Og0dOpRef/11uueee0ij0YjKsXjT5r///S+Fh4fTvHnz6J133qGnn36aoqOjacmSJV36zr5SVVVFvXv3pgEDBtBHH30k6ifhoiIvL49CQkJoyZIltHLlSho8eDDNmjVL5GTwps39999P9957L7377rv0pz/9iUJDQ+njjz/u0nfuCK+88goBoGXLlon6iFO0JXI6DOfOnUvp6em0cuVKWrp0KQUHB9PmzZtF9/riiy/ok08+obFjx1J2djZ98sknovIz3t6HEbhMmTKFL8cktJdjx47xbc6dO0cJCQk0b948WrVqFU2dOpUGDBgg2lh502bChAm0ZMkSWrt2LT3//POUmppKEyZMEJUsC0Ty8vIoODiYrr322lZrIuGY8de//pX0ej298MIL9Mwzz1BYWBj93//9n+he3rR5/fXXKT4+nl588UVas2YNZWVl0ahRowK+sgtXT/nNN98U9dGRI0f4NiUlJZScnExz586lVatW0cyZM6lPnz6i9YA3bYicm/HY2Fh69tlnu+wdO8vOnTtJo9HQVVdd1cqWhGXjnnnmGYqIiKDnnnuOnnvuOYqIiGj1nu21aWxspJEjR9LQoUPpjTfeoNdff52GDh1KI0eODPgyqvPnzyetVksrV64U9ZFQib2srIz69OlDs2bNolWrVtGVV15JycnJovWAN202bNhAV155Ja1Zs4aee+45SkhIEJXGClT2799PoaGhNGvWrFa2JCzJ+9JLL5FOp6NnnnmGXnjhBYqKiqLHHntMdK+dO3fSJ598Qr///e9Jp9Px9+Gcgd7epyeiIiLqpkN2AMDx48fxzDPPuP3Z3//+dwwaNIj/vG/fPnz00UcwmUyYMmUK7rrrLl5szds2ZWVl+Ne//oXCwkIkJyfjmmuuwcSJE/3zchLy3HPPuVXty8zMxGOPPcZ/bmxsxJo1a5Cfn4+EhATk5ORg6NChot/xpo3NZsN7772H3bt3IyoqCrNmzcK8efP883IS8dtvv4lyboU88cQTGDZsGP/5wIED+PDDD2E0GjFx4kQsXrwYwcFiXUFv2rz//vs4cOBAqzD2QOaVV15xm2OVnp6OZ599lv9sNpvx9ttv45dffkFsbCwWLVqEkSNHin7HmzalpaVYv349ioqKoNfrMX36dFx77bX+eTmJKC4uxsMPP+z2Z48++ihGjx7Nf87Pz8d7772HmpoajBs3DnfffTefv+VtG4fDgffeew87d+5EUlIS7rjjjlbfyUBk5cqV2LNnT6vr/fv3x4svvsh/tlqteOedd7B//35ER0fjrrvuEvUhACxatEgUCgs4w4HXrl3r030Ygcudd94Ji8XS6vrNN9+Mm2++mf9cUlKCNWvW4Pz580hPT8eSJUtahXu218ZiseCjjz7C/v37odPpMH78eNxyyy2iMM9A5NtvvxXluQv5+OOPRc+/ceNGbNq0CWq1Gtdffz0v/CTEmzZbt27Fhg0bYLVaMXr0aPz+978P+NzJnJwc1NfXt7p+3XXX4Xe/+x3/+dKlS1i9ejXOnDmDtLQ03HfffUhISBD9jjdtjh49iueffx7/+Mc/+IoTgc7mzZvx7rvvuv3Ze++9x+sjAMDXX3+Nb7/9FgAwb948t3N0e22amprwr3/9C/n5+VCpVBg1ahQWLVoU8Lb0xz/+0a1A19VXX40777yT/1xeXo7Vq1ejqKgIAwYMwJIlS0T6Jd62+emnn/DZZ59BrVZj/vz5orzoQGXbtm1466233P7s7bffFqUJbdq0Cf/5z3/gcDhw9dVX44YbbhC197QGXbFihUghv7379ES6fdPNYDAYDAaDwWAwGAyGXAlsly+DwWAwGAwGg8FgMBg9GLbpZjAYDAaDwWAwGAwGw0+wTTeDwWAwGAwGg8FgMBh+gm26GQwGg8FgMBgMBoPB8BNs081gMBgMBoPBYDAYDIafYJtuBoPBYDAYDAaDwWAw/ATbdDMYDAaDwWAwGAwGg+En2KabwWAwGAwGg8FgMBgMP8E23QwGg8FgMBgMBoPBYPgJtulmMBgMBoPBYDAYDAbDT7BNN4PBYDAYDAaDwWAwGH6CbboZDAaDwWAwGAwGg8HwE/8fIks5YOoJos4AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "states1 = pd.DataFrame(\n", " np.c_[fit1.level, fit1.trend, fit1.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "states2 = pd.DataFrame(\n", " np.c_[fit2.level, fit2.trend, fit2.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "fig, [[ax1, ax4], [ax2, ax5], [ax3, ax6]] = plt.subplots(3, 2, figsize=(12, 8))\n", "states1[[\"level\"]].plot(ax=ax1)\n", "states1[[\"slope\"]].plot(ax=ax2)\n", "states1[[\"seasonal\"]].plot(ax=ax3)\n", "states2[[\"level\"]].plot(ax=ax4)\n", "states2[[\"slope\"]].plot(ax=ax5)\n", "states2[[\"seasonal\"]].plot(ax=ax6)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulations and Confidence Intervals\n", "\n", "By using a state space formulation, we can perform simulations of future values. The mathematical details are described in Hyndman and Athanasopoulos [2] and in the documentation of `HoltWintersResults.simulate`.\n", "\n", "Similar to the example in [2], we use the model with additive trend, multiplicative seasonality, and multiplicative error. We simulate up to 8 steps into the future, and perform 1000 simulations. As can be seen in the below figure, the simulations match the forecast values quite well.\n", "\n", "[2] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice, 2nd edition. OTexts, 2018.](https://otexts.com/fpp2/ets.html)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T19:05:56.834838Z", "iopub.status.busy": "2026-07-28T19:05:56.834606Z", "iopub.status.idle": "2026-07-28T19:05:58.603350Z", "shell.execute_reply": "2026-07-28T19:05:58.602814Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(8, repetitions=100, error=\"mul\")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "simulations.plot(ax=ax, style=\"-\", alpha=0.05, color=\"grey\", legend=False)\n", "fit.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulations can also be started at different points in time, and there are multiple options for choosing the random noise." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T19:05:58.608407Z", "iopub.status.busy": "2026-07-28T19:05:58.608175Z", "iopub.status.idle": "2026-07-28T19:06:00.525290Z", "shell.execute_reply": "2026-07-28T19:06:00.524743Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(\n", " 16, anchor=\"2009-01-01\", repetitions=100, error=\"mul\", random_errors=\"bootstrap\"\n", ")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "simulations.plot(ax=ax, style=\"-\", alpha=0.05, color=\"grey\", legend=False)\n", "fit.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "hide_input": false, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.6" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": { "height": "98px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 4 }