{ "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": "2024-04-19T16:40:00.950168Z", "iopub.status.busy": "2024-04-19T16:40:00.949868Z", "iopub.status.idle": "2024-04-19T16:40:05.102304Z", "shell.execute_reply": "2024-04-19T16:40:05.100264Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_5514/536270367.py:23: FutureWarning: 'Y' is deprecated and will be removed in a future version, please use 'YE' instead.\n", " index = pd.date_range(start=\"1996\", end=\"2008\", freq=\"Y\")\n", "/tmp/ipykernel_5514/536270367.py:43: FutureWarning: 'Y' is deprecated and will be removed in a future version, please use 'YE' instead.\n", " index = pd.date_range(start=\"1990\", end=\"2005\", freq=\"Y\")\n", "/tmp/ipykernel_5514/536270367.py:79: FutureWarning: 'Y' is deprecated and will be removed in a future version, please use 'YE' instead.\n", " index = pd.date_range(start=\"1970\", end=\"2001\", freq=\"Y\")\n", "/tmp/ipykernel_5514/536270367.py:83: FutureWarning: 'Y' is deprecated and will be removed in a future version, please use 'YE' instead.\n", " index = pd.date_range(start=\"2001\", end=\"2008\", freq=\"Y\")\n" ] } ], "source": [ "import os\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\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=\"Y\")\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=\"Y\")\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=\"Y\")\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=\"Y\")\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)" ] }, { "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": "2024-04-19T16:40:05.105830Z", "iopub.status.busy": "2024-04-19T16:40:05.105351Z", "iopub.status.idle": "2024-04-19T16:40:05.931189Z", "shell.execute_reply": "2024-04-19T16:40:05.930539Z" } }, "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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", "text/plain": [ "
" ] }, "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": "2024-04-19T16:40:05.934690Z", "iopub.status.busy": "2024-04-19T16:40:05.934250Z", "iopub.status.idle": "2024-04-19T16:40:07.308435Z", "shell.execute_reply": "2024-04-19T16:40:07.307700Z" } }, "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(r\"$\\alpha=%s$\" % fit3.model.params[\"smoothing_level\"])\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": "2024-04-19T16:40:07.311769Z", "iopub.status.busy": "2024-04-19T16:40:07.311481Z", "iopub.status.idle": "2024-04-19T16:40:08.504176Z", "shell.execute_reply": "2024-04-19T16:40:08.503484Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "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": "2024-04-19T16:40:08.507464Z", "iopub.status.busy": "2024-04-19T16:40:08.506981Z", "iopub.status.idle": "2024-04-19T16:40:08.772631Z", "shell.execute_reply": "2024-04-19T16:40:08.771906Z" } }, "outputs": [ { "data": { "text/html": [ "
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SESHolt'sExponentialAdditiveMultiplicative
$\\alpha$1.0000000.9743380.9776420.9788430.974912
$\\beta$NaN0.0000000.0000000.0000080.000000
$\\phi$NaNNaNNaN0.9800000.981646
$l_0$263.917703258.882683260.335599257.357716258.951817
$b_0$NaN5.0108561.0137806.6452971.038144
SSE6761.3502356004.1382076104.1947826036.5971696081.995045
\n", "
" ], "text/plain": [ " SES Holt's Exponential Additive Multiplicative\n", "$\\alpha$ 1.000000 0.974338 0.977642 0.978843 0.974912\n", "$\\beta$ NaN 0.000000 0.000000 0.000008 0.000000\n", "$\\phi$ NaN NaN NaN 0.980000 0.981646\n", "$l_0$ 263.917703 258.882683 260.335599 257.357716 258.951817\n", "$b_0$ NaN 5.010856 1.013780 6.645297 1.038144\n", "SSE 6761.350235 6004.138207 6104.194782 6036.597169 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": "2024-04-19T16:40:08.775825Z", "iopub.status.busy": "2024-04-19T16:40:08.775369Z", "iopub.status.idle": "2024-04-19T16:40:10.725798Z", "shell.execute_reply": "2024-04-19T16:40:10.725152Z" } }, "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": "2024-04-19T16:40:10.729365Z", "iopub.status.busy": "2024-04-19T16:40:10.729026Z", "iopub.status.idle": "2024-04-19T16:40:12.109935Z", "shell.execute_reply": "2024-04-19T16:40:12.109302Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": "2024-04-19T16:40:12.113122Z", "iopub.status.busy": "2024-04-19T16:40:12.112755Z", "iopub.status.idle": "2024-04-19T16:40:14.328101Z", "shell.execute_reply": "2024-04-19T16:40:14.327421Z" } }, "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$1.409863e-084.250680e-246.490755e-095.042281e-09
$\\phi$NaNNaN9.430416e-019.536044e-01
$\\gamma$3.821993e-162.406118e-168.112837e-160.000000e+00
$l_0$1.119348e+011.106376e+011.084022e+019.899312e+00
$b_0$1.205396e-011.198957e-012.456750e-011.975450e-01
SSE4.402746e+013.611262e+013.527620e+013.062033e+01
\n", "
" ], "text/plain": [ " Additive Multiplicative Additive Dam Multiplica Dam\n", "$\\alpha$ 1.490116e-08 1.490116e-08 1.490116e-08 1.490116e-08\n", "$\\beta$ 1.409863e-08 4.250680e-24 6.490755e-09 5.042281e-09\n", "$\\phi$ NaN NaN 9.430416e-01 9.536044e-01\n", "$\\gamma$ 3.821993e-16 2.406118e-16 8.112837e-16 0.000000e+00\n", "$l_0$ 1.119348e+01 1.106376e+01 1.084022e+01 9.899312e+00\n", "$b_0$ 1.205396e-01 1.198957e-01 2.456750e-01 1.975450e-01\n", "SSE 4.402746e+01 3.611262e+01 3.527620e+01 3.062033e+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": "2024-04-19T16:40:14.332773Z", "iopub.status.busy": "2024-04-19T16:40:14.331557Z", "iopub.status.idle": "2024-04-19T16:40:14.811560Z", "shell.execute_reply": "2024-04-19T16:40:14.810840Z" } }, "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": "2024-04-19T16:40:14.816509Z", "iopub.status.busy": "2024-04-19T16:40:14.815148Z", "iopub.status.idle": "2024-04-19T16:40:14.844745Z", "shell.execute_reply": "2024-04-19T16:40:14.844022Z" } }, "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": "2024-04-19T16:40:14.849489Z", "iopub.status.busy": "2024-04-19T16:40:14.848392Z", "iopub.status.idle": "2024-04-19T16:40:14.869067Z", "shell.execute_reply": "2024-04-19T16:40:14.868434Z" } }, "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": "2024-04-19T16:40:14.877123Z", "iopub.status.busy": "2024-04-19T16:40:14.875960Z", "iopub.status.idle": "2024-04-19T16:40:18.643213Z", "shell.execute_reply": "2024-04-19T16:40:18.642289Z" } }, "outputs": [ { "data": { "image/png": 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", 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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": "2024-04-19T16:40:18.653878Z", "iopub.status.busy": "2024-04-19T16:40:18.652754Z", "iopub.status.idle": "2024-04-19T16:40:21.262549Z", "shell.execute_reply": "2024-04-19T16:40:21.261703Z" } }, "outputs": [ { "data": { "image/png": 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T9dZzzz3HwoULI74gVMP//fffM2nSJNLT083te/Towemnn85///vfSvu67rrrIn6eP38+uq5z8cUXc+DAAfMrMzOT9u3bm6Voq1evJjc3l2nTplX6pDm8pCP8k0SPx8OBAwcYMGAAgFlKB5CamsqKFSvYtWtXzMcjNTWVHTt2VFn6djhWq9X85FDXdfLy8ggEAvTr1y9ibMoll1xCWlqa+bP6lG7z5s3AoeM/ceJEUlJSzO1OP/10unTpEtXrAPj444/x+/0xvRaAa665JuK19evXD8MwuPrqqyOeo2PHjuaYa0P4Oc7Pz6ewsJChQ4dWeQyjsWjRInw+H9OmTYuY6/H73/+e5ORk/vOf/0Rsn5SUxO9+9zvzZ4fDwSmnnBLxGmv6HjmS3//+9xHzqWoydvVJNUDHjh1JTU2lc+fO9O/f37xdfR/tebv22msr/Y5YuHAhV155ZcR23333Hfv27eP666+PmCNy7rnn0qlTp0rjPVqDBw9mxYoVBINBdF1n+fLl5qfcgwcPNrNHZWVlfP/991FlkaDy77GhQ4dy8OBBioqKDvs4wzB47733OP/88zEMI+J33plnnklhYWGl9/HEiRMrZUhSU1P5+eef2bhxY1TjPZK6el/UhQkTJkRkscaNG0dWVlaVf2+qo+s6H3zwAeeff36V823V3xSn02n+vwoGgxw8eJCkpCQ6duxY4983p556Kk2aNOGdd94xb8vPz2fhwoVccskl5m1z586lc+fOdOrUKeJ9cuqppwJUKtOuSk3Pa03ep4cbw5F+X/73v/8lMzOTyy67zLzNbrczZcoUSkpK+PLLL83tbDYbf/zjH83trFYrf/rTn6Iaizh+SbmdqLdOOeWUKv+QbN26FQj94q2oc+fOfPbZZ5Uml1fskrdx40YMw6B9+/ZVPrcqFdq0aRNw5K56eXl5zJw5k7fffpt9+/ZF3FdYWGh+/9hjjzFx4kSys7Pp27cv55xzDhMmTKBt27aH3T/AHXfcwaJFizjllFNo164dZ5xxBpdffjmDBw8+4mP/8Y9/8OSTT7J+/fqIwKTicQFo2bJlxM8qYMrPzwcOHf+qjl00f8SHDx/ORRddxMyZM3n66acZMWIEY8aM4fLLL4+q81vF8aWkpOByucxSzPDbK84JOxoff/wxDzzwAN9//31EbX5N19Sp7n3scDho27ateb/SokWLSs+VlpbGjz/+aP58NO+Rw6n4PqmNsaekpJCdnV3pNjj0XjuS9u3bmyVt4Sp2lzvc74xOnTpV2Y3uSHw+H3l5eRG3NW3aFKvVypAhQ3j//ff5/vvvsdvtFBYWmudg0KBB7Nq1iy1btpCbm0sgEIg6SDrc/83k5ORqH7d//34KCgp4+eWXefnll6vcpuLvrap+N9x///2MHj2aDh060K1bN8466yyuvPJKevToEdX4K6qr90VdqPj7TtM02rVrF1Mb8f3791NUVHTEvye6rjN79myef/55cnNzCQaD5n2NGzeOadyKzWbjoosu4q233sLr9eJ0Opk/fz5+vz8iSNq4cSPr1q2jadOmVe6n4vukKjU9rzV5n8Yyhoq/L7du3Ur79u0rNSRRpZfq98bWrVvJysoyS9+Vqn6fiIZFgiRxQqj4iaiu62iaxieffFJlx7GKvwyP5OKLL+brr7/mtttuo1evXiQlJaHrOmeddVZEG9aLL76YoUOH8v7777NgwQIef/xxHn30UebPn2/WSVenc+fObNiwgY8//phPP/2U9957j+eff54ZM2Ywc+bMah/35ptvMmnSJMaMGcNtt91GRkYGVquVhx9+2AwCw1XXgc34bS7X0dI0jXnz5rF8+XL+/e9/89lnn3HVVVfx5JNPsnz58iMe+6rGF82Yqwtmwi9AqrNkyRIuuOAChg0bxvPPP09WVhZ2u505c+YcsXFGbYnmNdb0PXIkscy5qEp1Y6/r91pd+vrrrxk5cmTEbbm5ubRu3TpiXpLD4SA9PZ1OnToB0KtXLxISEli6dCm5ublAdPORoObHS/0O+t3vflftPIqKgU5V53zYsGFs2rSJDz/8kAULFvC3v/2Np59+mhdffDEiwxuto3lfHM3/5/ruoYce4p577uGqq67iL3/5C+np6VgsFqZNm3ZUbb0vvfRSXnrpJT755BPGjBnDu+++S6dOnejZs6e5ja7rdO/enaeeeqrKfVQMdKpS0/Nak/dprGM4Hn63iPpDgiRx3GnVqhUAGzZsqHTf+vXradKkyRFbFOfk5GAYBm3atKFDhw6H3Q5gzZo1VX5iDaFPwT7//HNmzpzJjBkzzNurK0nJysri+uuv5/rrr2ffvn306dOHBx980AySDpeZSExM5JJLLuGSSy7B5/MxduxYHnzwQaZPn15tq9l58+bRtm1b5s+fH7Hvqha1jIY6/lW9vqrOSXUGDBjAgAEDePDBB3nrrbe44oorePvtt2t0sRUN9al7xY5EFbMeVXnvvfdwuVx89tlnEdmuOXPmVNo22sxS+Ps4PJPo8/nIzc2t9v12JDV5j8SqrsZeV8LHq8qGlA0bNpj3V6eqc9qzZ89KXd0yMzMB6NOnjxkIOZ1OBg4caO7DZrNx8skns2zZMnJzc8nIyDjs76BYVTXWpk2b0qhRI4LB4FGfG9UlbfLkyZSUlDBs2DDuu+++Ovt/W520tLQqu4tF8/+5Jtnfir/vDMPg119/jSmL1rRpU5KTk1mzZs1ht5s3bx4jR47k1Vdfjbi9oKAgImMe6+sYNmwYWVlZvPPOOwwZMoT//e9/3H333RHb5OTk8MMPP3DaaafVOEteU7G8T2tjbK1ateLHH39E1/WIbNL69evN+9W/n3/+eURbf4jt7504PsmcJHHcycrKolevXvzjH/+I+CO5Zs0aFixYwDnnnHPEfYwdOxar1crMmTMrfbJkGIZZptWnTx/atGnDrFmzKv1BVo9Tn1hV3M+sWbMifg4GgxGldxBafLJ58+YR5VuJiYmVtgMqlY45HA66dOmCYRiHndtT1fhWrFjBN998U+1jDif8+IePc+HChaxdu/aIj8/Pz690rFSHvWhazNaUCni/+uor87ZgMFhtWUc4q9WKpmkRn1Jv2bKlyk5PiYmJUbWGHTVqFA6Hg2eeeSbieLz66qsUFhaaHfNiUdP3SKzqYux1qV+/fmRkZPDiiy9GvMc++eQT1q1bd8TxVnVO09LSGDVqVMSXCkJtNhv9+/dn2bJlLFu2rFLHsUGDBvHVV1+xfPnyoy6FjGasVquViy66iPfee6/KC/T9+/dHte+K76+kpCTatWtXp/9vq5OTk0NhYWFE+dTu3bujWopAfYgWSwvn119/neLiYvPnefPmsXv37iNWAISzWCyMGTOGf//733z33XeV7g//m1Lxd+TcuXMrtauP9XVYLBbGjRvHv//9b9544w0CgUBEqR2Eqh127tzJK6+8Uunx5eXlZnfLuhDL+7Qm57Cic845hz179kTM0woEAjz77LMkJSUxfPhwc7tAIMALL7xgbhcMBnn22Wdr/Nzi+CCZJHFcevzxxzn77LMZOHAgV199tdkCPCUlpdKaFFXJycnhgQceYPr06WzZsoUxY8bQqFEjcnNzef/997n22mu59dZbsVgsvPDCC5x//vn06tWLyZMnk5WVxfr16/n555/57LPPSE5OZtiwYTz22GP4/X5OOukkFixYYJbSKMXFxbRo0YJx48bRs2dPkpKSWLRoEd9++23Emj59+/blnXfe4eabb+bkk08mKSmJ888/nzPOOIPMzEwGDx5Ms2bNWLduHX/9618599xzD9sW97zzzmP+/PlceOGFnHvuueTm5vLiiy/SpUsXSkpKanT8H374Yc4991yGDBnCVVddRV5enrk+z5H2+Y9//IPnn3+eCy+8kJycHIqLi3nllVdITk6OKsCtqa5duzJgwACmT59OXl4e6enpvP322wQCgSM+9txzz+Wpp57irLPO4vLLL2ffvn0899xztGvXLuIiDULnb9GiRTz11FM0b96cNm3aRExWVpo2bcr06dOZOXMmZ511FhdccAEbNmzg+eef5+STT46YdBytmr5HYlUXY69LdrudRx99lMmTJzN8+HAuu+wyswV469atuemmmw77+GjPabghQ4aYk9wrBkKDBg3i4YcfNrerTdWN9ZFHHuGLL76gf//+/P73v6dLly7k5eWxatUqFi1aVGl+VVW6dOnCiBEj6Nu3L+np6Xz33XfmkgbH2qWXXsodd9zBhRdeyJQpUygrK+OFF16gQ4cOR5wX2atXL6xWK48++iiFhYU4nU5OPfVUMjIyqn1Meno6Q4YMYfLkyezdu5dZs2bRrl07fv/738c07oceeogFCxYwfPhws8X27t27mTt3LkuXLiU1NZXzzjuP+++/n8mTJzNo0CB++ukn/vnPf1aau5qTk0NqaiovvvgijRo1IjExkf79+1c5n0y55JJLePbZZ7n33nvp3r17pdbnV155Je+++y7XXXcdX3zxBYMHDyYYDLJ+/XreffddPvvsszpZ5F2J9n1ak9de0bXXXstLL73EpEmTWLlyJa1bt2bevHksW7aMWbNmmb8zzz//fAYPHsydd97Jli1b6NKlC/Pnz6/yw0zRwBybJnpCRE+1HT5Si+hFixYZgwcPNtxut5GcnGycf/75xtq1ayO2Ue1gVSvgit577z1jyJAhRmJiopGYmGh06tTJuOGGG4wNGzZEbLd06VLj9NNPNxo1amQkJiYaPXr0MJ599lnz/h07dhgXXnihkZqaaqSkpBjjx483du3aFdH+1ev1GrfddpvRs2dPcz89e/Y0nn/++YjnKikpMS6//HIjNTU1oqX2Sy+9ZAwbNsxo3Lix4XQ6jZycHOO2224zCgsLD3ucdF03HnroIaNVq1aG0+k0evfubXz88ceVWsSqtsqPP/54pX2Ev47wY9e5c2fD6XQaXbp0MebPn19tW95wq1atMi677DKjZcuWhtPpNDIyMozzzjvP+O677w77nNWdy4kTJxqJiYmVnmf48OGV2mFv2rTJGDVqlOF0Oo1mzZoZd911l7Fw4cKoWoC/+uqrRvv27Q2n02l06tTJmDNnTpXthtevX28MGzbMcLvdBmC2Hq6uBflf//pXo1OnTobdbjeaNWtm/PGPf6zUbr6q11LVOGv6HjGMw7cAr+7/4tGMvVWrVlW2k65qHBUd7r1qGNW/V9555x2jd+/ehtPpNNLT040rrrjC2LFjR5WPDVfdOT0c1d7YZrMZpaWlEfcdPHjQ0DTNAIwVK1ZUemy07/2q3lOHG+vevXuNG264wcjOzjbsdruRmZlpnHbaacbLL79sbqNaXs+dO7fSuB544AHjlFNOMVJTUw2322106tTJePDBBw2fz3fE41FRbbwvFixYYHTr1s1wOBxGx44djTfffDOqFuCGYRivvPKK0bZtW8NqtUb8/6+uBfi//vUvY/r06UZGRobhdruNc88919i6dWvEPqNpAW4YhrF161ZjwoQJRtOmTQ2n02m0bdvWuOGGG8ylGjwej3HLLbcYWVlZhtvtNgYPHmx88803lcZmGKElGrp06WLYbLaIdtTV/S7Wdd3Izs42AOOBBx6odL9hhNpgP/roo0bXrl0Np9NppKWlGX379jVmzpx5xN8ltXFeo3mfHu61R/v7Uj3X5MmTjSZNmhgOh8Po3r17lS29Dx48aFx55ZVGcnKykZKSYlx55ZXG6tWrpQV4A6cZhsxiE0IIIYSoaPHixYwcOZK5c+cybty4eA9HCHEMyZwkIYQQQgghhAgjQZIQQgghhBBChJEgSQghhBBCCCHCyJwkIYQQQgghhAgjmSQhhBBCCCGECCNBkhBCCCGEEEKEafCLyeq6zq5du2jUqBGapsV7OEIIIYQQQog4MQyD4uJimjdvjsVSfb6owQdJu3btIjs7O97DEEIIIYQQQtQT27dvp0WLFtXe3+CDpEaNGgGhA5GcnBzn0QghhBBCCCHipaioiOzsbDNGqE6DD5JUiV1ycrIESUIIIYQQQogjTsORxg1CCCGEEEIIEUaCJCGEEEIIIYQII0GSEEIIIYQQQoRp8HOSomEYBoFAgGAwGO+hCCGOI1arFZvNJssLCCGEEA3MCR8k+Xw+du/eTVlZWbyHIoQ4DiUkJJCVlYXD4Yj3UIQQQghRS07oIEnXdXJzc7FarTRv3hyHwyGfCAshomIYBj6fj/3795Obm0v79u0PuyidEEIIIY4fJ3SQ5PP50HWd7OxsEhIS4j0cIcRxxu12Y7fb2bp1Kz6fD5fLFe8hCSGEEKIWyMeeIJ/+CiFqTH5/CCGEEA2P/HUXQgghhBBCiDASJAkhhBBCCCFEGAmSakFQD7J4y2L+9dO/WLxlMUH9+Gkl3rp1a2bNmnVMnmvSpEmMGTPmmDxXbTl48CAZGRls2bLlqPYTzWsfMWIE06ZNO6rnqal4Pnd9UvE4DBgwgPfeey9+AxJCCCFEXEiQdJTmr5tP69mtGfmPkVw+/3JG/mMkrWe3Zv66+XX2nNVdcC9evBhN0ygoKKjxvjVN44MPPjjsNgMGDOC6666LuO3FF19E0zRee+21SmMdOnQoALNnz650f22Mpy49+OCDjB49mtatW8dtDCJ+/vznP3PnnXei63q8hyKEEEKIY0iCpKMwf918xr07jh1FOyJu31m0k3HvjqvTQCmeRo4cyeLFiyNu++KLL8jOzq50++LFizn11FMBSElJITU19dgMsgK/3x/zY8rKynj11Ve5+uqr62BE4nhw9tlnU1xczCeffBLvoQghhBDiGJIgqQqlvtJqvzwBDxAqsZv66VQMjEqPV7dN/XRqROlddfusS++99x5du3bF6XTSunVrnnzyyWq3VdmSCy+8EE3Tqs2ejBw5kg0bNrBnzx7zti+//JI777wzIkjKzc1l69atjBw5EqicARsxYgRTpkzh9ttvJz09nczMTO67776oxvPhhx/Sp08fXC4Xbdu2ZebMmQQCAfN+TdN44YUXuOCCC0hMTOTBBx8kPz+fK664gqZNm+J2u2nfvj1z5syp9nj897//xel0MmDAAPO2YDDI1VdfTZs2bXC73XTs2JHZs2dHPC4YDHLzzTeTmppK48aNuf322zGMyPdJaWkpEyZMICkpiaysrMOel3CapvHSSy9x3nnnkZCQQOfOnfnmm2/49ddfGTFiBImJiQwaNIhNmzaZj6kq8zht2jRGjBgR1XNCaE2g++67j5YtW+J0OmnevDlTpkwx7/d6vdx6662cdNJJJCYm0r9//4j3wsGDB7nssss46aSTSEhIoHv37vzrX/+KeI558+bRvXt33G43jRs3ZtSoUZSWhv5/6LrO/fffT4sWLXA6nfTq1YtPP/3UfOyWLVvQNI358+czcuRIEhIS6NmzJ998801MY6jIarVyzjnn8Pbbb0d9rIQQQghx/JMgqQpJDydV+3XRuxcBsGTbkkoZpHAGBjuKdrBk2xLzttazW1e5z7qycuVKLr74Yi699FJ++ukn7rvvPu65555qS96+/fZbAObMmcPu3bvNnysaPHgwdrudL774AoC1a9dSXl7O1VdfzcGDB8nNzQVC2SWXy8XAgQOrHeM//vEPEhMTWbFiBY899hj3338/CxcuPOx4lixZwoQJE5g6dSpr167lpZde4rXXXuPBBx+M2Pd9993HhRdeyE8//cRVV13FPffcw9q1a/nkk09Yt24dL7zwAk2aNKl2bEuWLKFv374Rt+m6TosWLZg7dy5r165lxowZ3HXXXbz77rvmNk8++SSvvfYaf//731m6dCl5eXm8//77Efu57bbb+PLLL/nwww9ZsGABixcvZtWqVdWOJdxf/vIXJkyYwPfff0+nTp24/PLL+cMf/sD06dP57rvvMAyDG2+8Map9Reu9997j6aef5qWXXmLjxo188MEHdO/e3bz/xhtv5JtvvuHtt9/mxx9/ZPz48Zx11lls3LgRAI/HQ9++ffnPf/7DmjVruPbaa7nyyiv5v//7PwB2797NZZddxlVXXcW6detYvHgxY8eONYPL2bNn8+STT/LEE0/w448/cuaZZ3LBBReY+1fuvvtubr31Vr7//ns6dOjAZZddZgbPRxpDdU455RSWLFly2G2EEEII0bCc0IvJHo3dxbtrdbtYffzxxyQlRQZYwWBkw4innnqK0047jXvuuQeADh06sHbtWh5//HEmTZpUaZ9NmzYFIDU1lczMzGqfOzExkVNOOYXFixdz2WWXsXjxYoYMGYLT6WTQoEEsXryYNm3asHjxYgYOHIjT6ax2Xz169ODee+8FoH379vz1r3/l888/5/TTT692PDNnzuTOO+9k4sSJALRt25a//OUv3H777ea+AC6//HImT55s/rxt2zZ69+5Nv379AI44z2jr1q00b9484ja73c7MmTPNn9u0acM333zDu+++y8UXXwzArFmzmD59OmPHjgVC87U+++wz8zElJSW8+uqrvPnmm5x22mlAKFhs0aLFYcejTJ482XyuO+64g4EDB3LPPfdw5plnAjB16tSI110btm3bRmZmJqNGjcJut9OyZUtOOeUU8745c+awbds283jdeuutfPrpp8yZM4eHHnqIk046iVtvvdXc35/+9Cc+++wz3n33XU455RR2795NIBBg7NixtGrVCiAiCHviiSe44447uPTSSwF49NFH+eKLL5g1axbPPfecud2tt97KueeeC4TeJ127duXXX3+lU6dORxxDdZo3b8727dvRdV3WRBJCCCFOEBIkVaFkekm191ktVgCyGmVFta/w7bZM3XJU4wo3cuRIXnjhhYjbVqxYwe9+9zvz53Xr1jF69OiIbQYPHsysWbMIBoNYrdYjPs+2bdvo0qWL+fNdd93FXXfdxYgRI5g7dy4QmnekSreGDx/O4sWLmTx5MosXL+b3v//9Yfffo0ePiJ+zsrLYt2/fYR/zww8/sGzZsojMUTAYxOPxUFZWRkJCAoAZDCl//OMfueiii1i1ahVnnHEGY8aMYdCgQdU+T3l5OS6Xq9Ltzz33HH//+9/Ztm0b5eXl+Hw+evXqBUBhYSG7d++mf//+5vY2m41+/fqZWZFNmzbh8/kitklPT6djx47mzw899BAPPfSQ+fPatWtp2bIlEHnMmjVrBkQGFM2aNcPj8VBUVERycnK1r686VT33+PHjmTVrFm3btuWss87inHPO4fzzz8dms/HTTz8RDAbp0KFDxH68Xi+NGzcGQufnoYce4t1332Xnzp34fD68Xq95rnr27Mlpp51G9+7dOfPMMznjjDMYN24caWlpFBUVsWvXLgYPHhyx/8GDB/PDDz9E3BZ+bLKyQv/39u3bR6dOnY44huq43W50Xcfr9eJ2u2M8mkIIIUTdU9cYmqbFeSQNhwRJVUh0JB5xm6Eth9IiuQU7i3ZWOS9JQ6NFcguGthwa036jHmNiIu3atYu4bceO6sv/aqp58+Z8//335s/p6elAKEh78MEH2blzJ4sXLzY/oR8+fDgvvfQSmzZtYvv27WbThurY7faInzVNO2InsZKSEmbOnGlmasKFBzWJiZHH++yzz2br1q3897//ZeHChZx22mnccMMNPPHEE1U+T5MmTcjPz4+47e233+bWW2/lySefZODAgTRq1IjHH3+cFStWHHbMsbruuuvMbBEQkdEKP2bql2FVt6njaLFYKs2JOlwji6qe22azsWHDBhYtWsTChQu5/vrrefzxx/nyyy8pKSnBarWycuXKSoG3ynY+/vjjzJ49m1mzZtG9e3cSExOZNm0aPp8PCM39WbhwIV9//TULFizg2Wef5e6772bFihVmoBWNwx2HI42hOnl5eSQmJkqAJIQQol4yDAOfz4emaTgcjngPp8GQIKmGrBYrs8+azbh3x6GhRQRKGqGLs1lnzTIzT/HQuXNnli1bFnHbsmXL6NChQ7VZJLvdHlG2Z7PZKgVjAIMGDcLhcPD888+bcz0ATj75ZPbv38/f//53syzvaFQcD0CfPn3YsGFDleM6kqZNmzJx4kQmTpzI0KFDue2226oNknr37s2bb74ZcduyZcsYNGgQ119/vXlbeJOElJQUsrKyWLFiBcOGDQMgEAiwcuVK+vTpA0BOTg52u50VK1aY2aH8/Hx++eUXhg8fDoSCURWQHq2mTZuyZs2aiNu+//77SgGqUt1zu91uzj//fM4//3xuuOEGOnXqxE8//UTv3r0JBoPs27fPbPde0bJlyxg9erSZ6dR1nV9++SUiS6lpGoMHD2bw4MHMmDGDVq1a8f7773PzzTfTvHlzli1bZh4ftc9Y3l/RjKEqa9asoXfv3lE/jxBCCHEsqQ9CK34gKo6OBElHYWznscy7eB5TP50a0cShRXILZp01i7GdK2c6jqVbbrmFk08+mb/85S9ccsklfPPNN/z1r3/l+eefr/YxrVu35vPPP2fw4ME4nU7S0tKq3M7tdjNgwACeffZZBg8ebAZdDocj4vbqLsSjVdV4ZsyYwXnnnUfLli0ZN24cFouFH374gTVr1vDAAw9Uu68ZM2bQt29funbtitfr5eOPP6Zz587Vbn/mmWcyffp08vPzzePQvn17Xn/9dT777DPatGnDG2+8wbfffkubNm3Mx02dOpVHHnmE9u3b06lTJ5566qmItauSkpK4+uqrue2222jcuDEZGRncfffddTbf5dRTT+Xxxx/n9ddfZ+DAgbz55psxX/i/9tprBINB+vfvT0JCAm+++SZut5tWrVrRuHFjrrjiCiZMmMCTTz5J79692b9/P59//jk9evTg3HPPpX379sybN4+vv/6atLQ0nnrqKfbu3WsGKCtWrODzzz/njDPOICMjgxUrVrB//37z/Nx2223ce++95OTk0KtXL+bMmcP333/PP//5z6hfw5HGUJ0lS5ZwxhlnRP08QgghxLEUHhwZhiEld7VEZiEfpbGdx7Jl6ha+mPgFb419iy8mfkHu1Ny4B0gQyri8++67vP3223Tr1o0ZM2Zw//33V9m0QXnyySdZuHAh2dnZR7yIHjlyJMXFxZVaSQ8fPpzi4mKz9ffRqGo8Z555Jh9//DELFizg5JNPZsCAATz99NPmhP/qOBwOpk+fTo8ePRg2bBhWq/WwrZ27d+9uHkPlD3/4A2PHjuWSSy6hf//+HDx4MCKrBKHg9Morr2TixIlmSd6FF14Ysc3jjz/O0KFDOf/88xk1ahRDhgyp1Emvtpx55pncc8893H777Zx88skUFxczYcKEmPaRmprKK6+8wuDBg+nRoweLFi3i3//+t1kKN2fOHCZMmMAtt9xCx44dGTNmDN9++62ZKfvzn/9Mnz59OPPMMxkxYgSZmZkRbcmTk5P56quvOOecc+jQoQN//vOfefLJJzn77LMBmDJlCjfffDO33HIL3bt359NPP+Wjjz6iffv2Ub+GI42hKjt37uTrr7+u9UYYQgghRG2RDFLd0IwGfmSLiopISUmhsLCw0iR2j8dDbm4ubdq0qXKCvhD/+c9/uO2221izZo10NjsB3XHHHeTn5/Pyyy9Xu438HhFCCBFPfr/fnH9rt9vleuUIDhcbhJNyOyEO49xzz2Xjxo3s3LmT7OzseA9HHGMZGRncfPPN8R6GEEIIUa0Gnu+Im7iGmq1bt0bTtEpfN9xwAxD6hPaGG26gcePGJCUlcdFFF7F37954DlmcgKZNmyYB0gnqlltuMdusCyGEEPVRxTlJonbENUj69ttv2b17t/m1cOFCAMaPHw/ATTfdxL///W/mzp3Ll19+ya5du6ps+yyEEEIIIcSJRoKiuhPXcrumTZtG/PzII4+Qk5PD8OHDKSws5NVXX+Wtt94y19qZM2cOnTt3Zvny5QwYMCAeQxZCCCGEEKJeqBgkSdBUe+rNzC6fz8ebb77JVVddhaZprFy5Er/fz6hRo8xtOnXqRMuWLfnmm2+q3Y/X66WoqCji60jkDSWEqCn5/SGEECJewtdIUl+idtSbIOmDDz6goKDAbE+9Z88eHA4HqampEds1a9aMPXv2VLufhx9+mJSUFPPrcHNJ1Bo+ZWVlRz1+IcSJSf3+ONo1wYQQQohYqcDI7/fj9/vjPZwGpd50t3v11Vc5++yzad68+VHtZ/r06RHdqIqKiqoNlKxWK6mpqezbtw+AhIQEWYBLCBEVwzAoKytj3759pKammgsqCyGEEMeKCpI0TUPXdckk1aJ6ESRt3bqVRYsWMX/+fPO2zMxMfD4fBQUFEdmkvXv3kpmZWe2+nE4nTqcz6udW+1KBkhBCxCI1NfWwv5OEEEKIuqKCIovFIkFSLasXQdKcOXPIyMjg3HPPNW/r27cvdrudzz//nIsuugiADRs2sG3bNgYOHFhrz61pGllZWWRkZEiaUggRE7vdLhkkIYQQcROeSVI/i9oR9yBJ13XmzJnDxIkTsdkODSclJYWrr76am2++mfT0dJKTk/nTn/7EwIED66SzndVqlYsdIYQQQghxXKjYtCEYDFYKmkTNxT1IWrRoEdu2beOqq66qdN/TTz+NxWLhoosuwuv1cuaZZ/L888/HYZRCCCGEEELUH+FBkq7rUm5XyzSjgR/NoqIiUlJSKCwsJDk5Od7DEUIIIYQQ4qgFg0ECgQB+vx9d1/H7/bhcLtxuNxZLvWlgXe9EGxvIERRCCCGEEOI4U7HcLvw2cfQkSBJCCCGEEOI4owIiXdcJBAIEAgFZULYWSZAkhBBCCCHEcUYFRBWbNojaEffGDUIIIYQQQojYqKBIZZJ0XTeDJXH0JJMkhBBCCCHEcaRiZzslGAzGa0gNjgRJQgghhBBCHEeqCpKkeUPtkiBJCCGEEEKI40h404ZgMIjX6zVbgUuQVDskSBJCCCGEEOI4Ep41UvOQpHlD7ZIgSQghhBBCiOOICoSCwSC6rpuLx6o24OLoSZAkhBBCCCHEcSQ8SAoGg1gsFjRNk+52tUiCJCGEEEIIIY4j4XOSDMPAarWiaRq6rsu8pFoiQZIQQgghhBDHifAskupuJ3OSap8ESUIIIYQQImZyMR4f1a2RFJ5FknNz9CRIEkIIIYQQUTMMw2w5LY69iu2/DcOgvLwcj8cjQVItssV7AEIIIYQQ4vgjF+LxUbGzncom+f3+StklUXMSJAkhhBBCiKhpmmZ+bxhGxM+i7qkgKRAImEGSz+fD5/OZ3e4kgD16Um4nhBBCCCFiIoFR/KhyOhUgVQySJJNUOyRIEkIIIYQQNSIZi2OvYoAUCATwer3mPDEpuasdEiQJIYQQQoiYSCYpPsKbNqh/PR6PGRipcjtx9CRIEkIIIYQQNSKZpGMrPEgKBAIYhkEgEMDv9xMMBvH7/RHNHETNSZAkhBBCCCFiojJJEiQdWxUXklWBkQqOAoGAZJJqiQRJQgghhBAiJlJuFx/hmST15ff7sVqtaJoW0eFOHB0JkoQQQgghRI1IJunYCu9sF97u22IJXdKrxWTVtqLmJEgSQgghhBAxkUxSfIR3tjMMA7/fD2BmktTtMifp6EmQJIQQQgghakSyFcdWeACk5iNBKEgyDAOfz2e2AZdzc3QkSBJCCCGEEFFTGQyfzxfvoZxQwps2BINBAoEAPp/PzCCpxg2qFE8cHQmShBBCCCFETFSmQjIWx07FNZJUdzt1u8oqBYPBiLlJomZs8R6AEEIIIYQ4fmiaJi3A4yC8aYPf7ycQCFRaKwkws0ni6EgmSQghhBBCxEQCpWNPBUgqg6SCIV3Xsdls5n1qrSQ5L0dHgiQhhBBCCBEzTdPkQvwYqtj+OxAIYLFYzNvU+fD5fFJuVwskSBJCCCGEEDEJzyLJxfixEZ5JUo0zVGCk5iGp4En9LGpO5iQJIYQQQoioqYvyYDBoLmIq6l54owbV/lt97/P5CAQCAHi9Xskk1YKYg6Tc3FyWLFnC1q1bKSsro2nTpvTu3ZuBAwficrnqYoxCCCGEEKKe0HWdkpISAoEANptNLsaPAZWxC88YqTbfah5SeGCk5iqJmos6SPrnP//J7Nmz+e6772jWrBnNmzfH7XaTl5fHpk2bcLlcXHHFFdxxxx20atWqLscshBBCCCHiRNO0iEyGBEl1L7zdusomqeBINdGwWCzmeZFM0tGLKkjq3bs3DoeDSZMm8d5775GdnR1xv9fr5ZtvvuHtt9+mX79+PP/884wfP75OBiyEEEIIIeIr/IJd1D01HwmICIJUoJSQkIDVajXL7sK3UfPHRGyiCpIeeeQRzjzzzGrvdzqdjBgxghEjRvDggw+yZcuW2hqfEEIIIYSoZ1TjAMkkHRvhmaRAIGA2bQgEAtjtdhwOB1arNWIbcXSiCpIOFyBV1LhxYxo3blzjAQkhhBBCiPpPMknHTsXOdipTpI5/+Bwl1d1OLTQrmaSaibklyapVq/jpp5/Mnz/88EPGjBnDXXfdhc/nq9XBCSGEEEKI+kXNgQmfHyPqlgqIVKDk8/nM7oIWiwW/3x/R+lt9L2ou5iDpD3/4A7/88gsAmzdv5tJLLyUhIYG5c+dy++231/oAhRBCCCFE/aOyF1JyV/dUcKTrOn6/HwgFq7qu4wv4+LHoR74p+Yb1nvUEdTkvtSHmFuC//PILvXr1AmDu3LkMGzaMt956i2XLlnHppZcya9asWh6iEEIIIYSoL9TFeniQJOqOCnbCs0nqa3nhcv6+++8c9B80t08vSecm+038vtXv4zjq41/MmaTw7hqLFi3inHPOASA7O5sDBw7U7uiEEEIIIUS9o0q6VIMACZTqjrr2VlkkNddo6cGlPL7t8YgACSAvmMc9a+7ho40fyVpJRyHmIKlfv3488MADvPHGG3z55Zece+65QGiR2WbNmtX6AIUQQgghRP1RsXmAlHXVrYprJAUCAXwBH3/b8bfDPu7e5fcS1GVeUk3FHCTNmjWLVatWceONN3L33XfTrl07AObNm8egQYNqfYBCCCGEEKL+UAuXqmySqFsqi6SC02AwyJqiNRwMHDzs43aX7uarrV8do1E2PDHPSerRo0dEdzvl8ccfx2q11sqghBBCCCFE/aSCJJXZUBfwom6oIEnNAfP7/eT586J67O7i3XU8uoYr5iBJ8fl87Nu3r1KtY8uWLY96UEIIIYQQon7SdR2Px4PX6zXLv0TdCQ+SAoEAuq6TYkmJ6rHNEmUqTE3VqLvd1Vdfzddffx1xu1qsSnqyCyGEEEI0XKqRgDRuODbCO9qpcrsuSV1obGt82JK7THcmA5sPPIYjbVhiDpImT56MzWbj448/JisrS1bxFUIIIYQ4gYTPR1IX7aJuhLf/Dv9Ch4nNJvLUzqeqfext3W8DiV1rLOYg6fvvv2flypV06tSpLsYjhBBCCCHqOXXhruYlSSapboQHRuHldrquMzB1IFMsU3hm+zMRj0m1pHJV1lUMazrMPEeS1IhdzEFSly5dZD0kIYQQQogTVDAYxOfzEQgEzHlJsh5P3VBBTniQFAwG0TQNwzBId6ab27Z2tqYVrbgo6SLS3elmi3ZRMzG3AH/00Ue5/fbbWbx4MQcPHqSoqCjiSwghhBBCNFzqAl0FRzIvqe6oICcYDOL1es1MkgqUOid35r4u95GTmMMW7xY8mgeM0ONUICvnpWZiziSNGjUKgNNOOy3idmncIIQQQghxYlDd7VRmQy7E60Z15XZKI1sjBqYMpKhpEU+VPkWBXgCErsul6+DRiTlI+uKLL+piHEIIIYQQ4jigaZqZTfL7/RGZJJn7UrvU2kgqY6fresQxtlgsBINBmjqbApAfzAcOBUmq5M5iibl47IQXc5A0fPjwuhiHEEIIIYQ4DlgsFhwOB1ar1cwkydyXuqHafqvyRvWlaRoHAgf4aOdHdHJ3IlVLBUJBkqZpZnt29VgRuxotJltQUMCrr77KunXrAOjatStXXXUVKSnRLWwlhBBCCCGOT+Htv+12uznvRS7Ga5cqY1SBUXhnO4CfSn7i9R2v0yWxCzPbzQTAj59SvRSn7jSbPsh5qZmYc2/fffcdOTk5PP300+Tl5ZGXl8dTTz1FTk4Oq1atqosxCiGEEEKIekLXdbxer1lqp+bLyMV47VJBDhxq3KCCJoBfy38FoL27PUFvkEaWRkAomxQeyEqWr2ZiziTddNNNXHDBBbzyyivYbKGHBwIBrrnmGqZNm8ZXX31V64MUQgghhBD1i7pg9/l8EiDVgYoNG4LBIH6/H4vFgtVq5ZeyXwBo52qHz+cjRUvBi5dSvTTisXJuaibmIOm7776LCJAAbDYbt99+O/369avVwQkhhBBCiPonfC6SKgeTi/HapY4thLoJqsDHYrFQ6i9la/lWANo62mIYBlMaTcFu2LFarQBmJkm63NVMzOV2ycnJbNu2rdLt27dvp1GjRrUyKCGEEEIIUT+pTEZ4gwBZAqb2hXe2C2/YoOs6W3xb0NFpYm9CspaMYRjY9EMJDL/fb2agJHitmZiDpEsuuYSrr76ad955h+3bt7N9+3befvttrrnmGi677LK6GKMQQgghhKhHLBZLRAtwuRivXYZhRARHKhBVWaGN5RuB0HykQCBQqS24eqxaUFbELuZyuyeeeAJN05gwYYJ50O12O3/84x955JFHan2AQgghhBCi/tA0zSzpslgsZnMACZJqT1XzkVQmCWBz+WYgNB9J0zQsFgtbA1tZ5F1Emj2Nca5x6LqOx+MxSyFlDavYxBwkORwOZs+ezcMPP8ymTZsAyMnJISEhodYHJ4QQQggh6h+1OGkgEMDn80kXtVqmgs7wkjt1jB0OBze3uplt5dtwBp1g/BasGn5+Dv5MU6MpmjsUEMlcsZqr0TpJAAkJCXTv3r02xyKEEEIIIeo5TdNwuVxYrVbzwt3v9wNIxqKWhHemCwQCZvtvVeZo02xkO7LxeDygha7L02xpABToBVUuKCvnJTZRBUljx47ltddeIzk5mbFjxx522/nz59fKwIQQQgghRP0T3s0ufO6Myn7IxfjRC1801uv1RizYW/GYOxwO3G436dZ0ILSgbBllOINOmS92FKIKklJSUsw3fEpKSp0OSAghhBBC1F/BYJCysjK8Xq+5aKnMSao9KggKXxtJZeoAPs77mJ2+nQxNGkqOPQen04nT6cRusZNEEiWUcNB/kFRHqrRnPwpRBUlz5syp8nshhBBCCHFiUUGSymSoki65GK8d4V3tVDmjCkINw2BF0Qo2ejbS2dmZHHsObrebpKQkLBYLKVoKJUYJhUahWQapyu1EbGJuAS6EEEIIIU5cDocDh8MBhOYnqTbTciFeO1TDhvAsnVqHStd0cr25AOS4coDQ+UhLS8PlcpGihSq+8vX80Pa/BVjSVCN2UWWSevfuHXV96apVq45qQEIIIYQQov7SDZ3V+av5ufxnkkiiX6CflHXVIlVup7JHXq/XDJK2eLYQMAI0sjYiw5aB1WrF5XKRkJCA3W4n1ZKKQ3fg031muZ7P55PzUgNRBUljxoyp42EIIYQQQoj6bv66+Uz9ZCo7ineYt6V50rg56WbatGkTx5E1HOGd7bxeL16vFwgFTxs9oUVk2zlD6yPZ7XYcDgcJCQk4HA4ucFzAGMcYHA6HGWj5fD4zyBLRiypIuvfee+t6HEIIIYQQoh6bv24+494dh0FkViI/mM89a+4hMzOTiadMjNPoGobwznUV23drmsavnl8ByHHmoOs6LpeLxMREM2CyW+0EAgEsFktE4wcJkmInc5KEEEIIIcRhBfUgUz+dWilACjfjmxn4A/5q7xdHFj4fKXydJFUut7H8t0ySqx0WiwWn04nL5SIQCGC329E0zWzwAKGslMfjkSCpBqLKJKWlpUU9JykvL++oBiSEEEIIIeqXJduWsKNox2G32V26m6Xbl3JGhzOO0aganvDW32o+kQqSyoPlODQHFizkuHOwWCw4HA5sNhtlZWXY7XbKjDL+6fsnZf4ybk6+2VwnKRAIxPulHXeiCpJmzZpVx8MQQgghhBD11e7i3VFtt6t4Vx2PpGFTmSRVdhfeWt2pOXm4xcOU6+WkuFJCtzmdaJpGWVkZmqbh1Jys09cBUKqX4tJdZsmdiE1UQdLEiVJfKoQQQghxospqlBXVdpmJmeYcGhG78ODI7/fj8/nQdR2bzWY2cEi0JRIMBs1mDYFAAI/Hg9VqxWF1kEgipZRyMHCQdCM9ovOgnJfoRRUkFRUVkZycbH5/OGo7IYQQQgjRMAxtOZQWyS3YWbSz2nlJme5MBjYfeIxH1nCEt/5WpXbBYBBN0wgEAvj8PpwOJxaLhWAwaK5XVV5eTiAQMJs7pGgplBqlFFFkNn9QbcAlSIpeVI0b0tLS2LdvHwCpqamkpaVV+lK3CyGEEEKIhsVqsTL7rNkAaFR9oX1L11swdEPW5Kmh8CApfC6RpmkYGNyy+xYe3PUgxXqxOR/JMAz8fj+6rpuNG1K1VAAKjIKIRhByXmITVSbpf//7H+np6QB88cUXdTogIYQQQghR/4ztPJZ5F8+rtE5SqpbKlRlXMqzpsDiO7vinOtmFr5GkutJt82yjWC/G7/OTYk/BarFit9vNoMpqtWKxWLDZbKRaUkGHgmCBGXCpVuIielEFScOHD6/yeyGEEEIIceIY23ks57U7j/GvjeejXR/RwdKB6xpdR5orLeICX8ROldmFt/5Wax79UvYLAG1dbbFarNhsNqxWKwAWiyXU2a6sDIfDQYqWAkCBXgBglu7puh6X13W8iipIqsjj8fDjjz+yb9++Sgf8ggsuqJWBCSGEEEKI+sdqsdInvQ8f7fqIAAE0NHRdN+fQSJBUM6o0LhAIUF5ejt/vN9c92uTdBEAHdwcMw8DhcJiPc7lc2GyhS3qbzUaaNQ27347BoYVpZUHZ2MUcJH366adMmDCBAwcOVLpP07SYT8DOnTu54447+OSTTygrK6Ndu3bMmTOHfv36AaE3zL333ssrr7xCQUEBgwcP5oUXXqB9+/axDl0IIYQQQtSCPk368IfGf8Bd5o6YRyMX4jVTcT6Syv6o+zb7NgOhRWRVgkKV2TmdTrxer9kFr7etN11sXUhKTDLnInk8HgleYxRV44Zwf/rTnxg/fjy7d+82T2Z4J45Y5OfnM3jwYOx2O5988glr167lySefjGgA8dhjj/HMM8/w4osvsmLFChITEznzzDPxeDyxDl0IIYQQx6FgMMjixYv517/+xeLFi+VCvB7ITMikf2J/WlhbAES0rZaL8dipIEmV23k8HoLBIFarlfzyfHYHQutUdUjogKZpZomd3W7Haj00P8npdGKz2rBYLOZ58Pv95rwkEb2YM0l79+7l5ptvplmzZkf95I8++ijZ2dnMmTPHvK1Nmzbm94ZhMGvWLP785z8zevRoAF5//XWaNWvGBx98wKWXXnrUYxBCCCFE/TV//nymTp3Kjh2HGgW0aNGC2bNnM3bs2DiO7MQV/sG4aiutSroCgYAESTVQMUgKL11UWaQMWwbJttBSOxaLBafTidVqRdM0M2FhsVgi9qn+DW8CIaITcyZp3LhxLF68uFae/KOPPqJfv36MHz+ejIwMevfuzSuvvGLen5uby549exg1apR5W0pKCv379+ebb76pcp9er5eioqKILyGEEEIcf+bPn8+4ceMiAiQIleqPGzeO+fPnx2lkJzar1YrVamWdZx3fBL7hYOBgRNtqaRAQu/AyO3UcFZtuo4ezB70Se6HrurkektPpxGazEQgEsNvtGIaB3W7HYrEwzz+PJ0ueZK+x1wxcw/cpjizmTNJf//pXxo8fz5IlS+jevTt2uz3i/ilTpkS9r82bN/PCCy9w8803c9ddd/Htt98yZcoUHA4HEydOZM+ePQCVslbNmjUz76vo4YcfZubMmTG+KiGEEELUJ8FgkKlTp1aZlVDZi2nTpjF69Gizy5c4NtRF/PuF7/Or91d+5/gdmXqmmU2SICl24fORfD4fXq/XzC61tbXlxsY3kpSUZM5DcrvdZkAUDAax2WwYhoHNZkPTNPawh136Lg4ED9DSaBkxx0lEJ+Yg6V//+hcLFizA5XKxePHiiJV7NU2LKUjSdZ1+/frx0EMPAdC7d2/WrFnDiy++yMSJE2MdGgDTp0/n5ptvNn8uKioiOzu7RvsSQgghRHwsWbKkUgYpnGEYbN++nSVLljBixIhjNzCBxWJB0zQaWxvzK79SQOR6PKpZQPg1oqheeKmdrut4PB4zYxQMBtE0DavVan5g4HA4cLlc5m1q/pHNZjNL6lK1VHYZuyjUCwkEAni9XpmTFKOYy+3uvvtuZs6cSWFhIVu2bCE3N9f82rx5c0z7ysrKokuXLhG3de7cmW3btgGQmZkJhOZBhdu7d695X0VOp5Pk5OSILyGEEEIcX3bv3l2r24naY7WG1ulpbGsMhNbjUe2rpdV07FSQpDJ0KoukaRrF/mIO+g9itVrN4NNut+N0OiOCI03TzOouh8MRWlAWKDAKAMwMlcwXi17MQZLP5+OSSy6JmBhWU4MHD2bDhg0Rt/3yyy+0atUKCDVxyMzM5PPPPzfvLyoqYsWKFQwcOPCon18IIYQQ9VNWVlatbidqTzAYxOv1km5NByDfyAcOleEZhiEX4zFQx6tiwwZd11lVtoq7D97N7L2zzWPqdrtxOp1mIGW1WnE4HOZaSXa7PWJBWbVvFWSd6KI9BjFHOhMnTuSdd96JeUBVuemmm1i+fDkPPfQQv/76K2+99RYvv/wyN9xwA4BZb/zAAw/w0Ucf8dNPPzFhwgSaN2/OmDFjamUMQgghhKh/hg4dSosWLaot2dI0jezsbIYOHXqMRyYgVHKXbgsFSQV6gXkBri7yRfTCM0ler5dAIGB2rNvkCS0i28wemp+vutrZ7XazgYNqpKEySTabjVQtFYB8/VAAqzJUJzK1ZlQ0Yp6TFAwGeeyxx/jss8/o0aNHpcYNTz31VNT7Ovnkk3n//feZPn06999/P23atGHWrFlcccUV5ja33347paWlXHvttRQUFDBkyBA+/fRTXC5XrEMXQgghxHHCarUye/Zsxo0bV+k+FTjNmjVLmjbESTAYpLH1t3K730q6wsvtTvSL8VioLI+u62aQpI5jrj8XgBxnDrquk5CQUClrZLPZzDlM6rZUayoAhXqhGbT6fD4CgcAJ/X9GvUejEXOQ9NNPP9G7d28A1qxZE3FfTSbonXfeeZx33nnV3q9pGvfffz/3339/zPsWQgghxPFr7NixvPvuu1x88cURF90tWrRg1qxZsk5SnKiFY5MJzfsupRSv7jXbV0smKTbhbb/Dg8zyQDk7AzsBaOtoi9Vqxel04na7zUxT+DpJKvhRmSQHDpyaEwgFSNJ5kJjaoMccJH3xxRexPkQIIYQQoka6dOkSESBddtllvPHGGyf0p+H1QTAYxI2biYkTSQwkoumauRCq3++XTFKUVJmimuelAhld19ni24KOTqol1WzEoDrbqflIDofDnNOkug66XC6a2pryZ8ufcbvd5vOc6KWQsa4VFXOQJIQQQghxrKxcuTLiZ4vFIgFSnFksFrPMq4+jD37NbwZIqlzsRM9YREvNR/L7/WYQo47dL2W/AKFSOzXvKCEhwex0p9ZJ8vl8ZvOG8Nbr4W3DVXe7E3mtJPW+jLb5XFRbXXfddYddqyDcO++8wz//+c+othVCCCGEOJxVq1YBh5YF2b59ezyHI8C8YFcX46qBAIQu+iWTFL3wuUh+v9/sDqjresR8JMMwsFqtNGrUyMwaOZ1Ocz9Wq9X8AMFms5ltwVWmSq3DdCKfF5VFqthPoTpRZZKaNm1K165dGTx4MOeffz79+vWjefPmuFwu8vPzWbt2LUuXLuXtt9+mefPmvPzyyzV/BUIIIYQQv1GZpNGjR/PSSy9JkFQP6LpuXoTvCu7iF+8vNNYa0yXQBb/fj9frPaHLumKhghc1F0kFNYZhMMA1gDRLGp0cndA0jYSEBDN7pLJ5qgmBpmlYLBYcDgd+vx+LxcKX+pf86P+REYxggH0AXq/3hM0kqeOsaZrZ9OJIosok/eUvf+GXX35h8ODBPP/88wwYMICWLVuSkZFBx44dmTBhAps3b+bll19m+fLl9OjR46heiBBCCCGEruusXr0aCAVJADt27JBSrjhTC5dqmsYa3xre973P94Hv0TRN5iTFSDW6CF8jSQVLPZw9uCTlElo6WprldCpAstls5mKy6nyoAApC2ZJio5jdxm72BveaLcaj7ezW0ISX2kVbbhf1nKRmzZpx9913c/fdd5Ofn8+2bdsoLy+nSZMm5OTk1KiznRBCCCFEdX755RdKSkpwu92MHDkSi8WC3+9n7969sohsHKlP4yPWSjIKzInx6kscnsoYqSySx+MxM0mq7E5liGw2G4mJieZFvtVqNcvnbDabOUdMlZI5HA6z+2ChUQhwwgZJqjEGhDr/RZvlrFHjhrS0NNLS0mryUCGEEEKIqKj5SL169cLlcpGVlcXOnTvZvn27BElxZBgGbrcbq9VKKqnAoSBJZZLUxb58iF49NR/J5/NFNLwIBAKs967H0A3aWtpix47D4cDpdJrzkex2u7k2kt1uN+eJqVIyi8US6ogXjAxgvV5vfF90HKjjHGvTl+jyTUIIIYQQx5iaj9S3b18AWrZsCUjzhnhTF+Y2m41066FMkioT8/l8UhIZBTVPRpXcqaySrut8WPwhswpm8YPvB7NJg8PhiFhIVgVMqolG+PdOp5M0ayihUagXVpr7dCJR78tYSu1AgiQhhBBC1FMVg6Ts7GxAgqT6QM1/SbWmoqERIECJUWK2sz7RO6lFQwVIqv23OnZ+3c82/zbg0CKygNmYITw7p7JHmqaZ2SQInR8VJBUYBUCo3K68vPwYvsL4U8EhHOoAGC0JkoQQQghR74Q3bcjuks3+0v0SJNUT4Vkih9VBshaa+5Kv5+Pz+SIyI6J64Vk3FSgBbPVuJUCARC2RDFsGTqfTLG+s2JlNBUcQmm+jmjtYrVZStBQAAgQoNUrNkrsTaV5SeBYp1vXVJEgSQgghRL2zadMmioqKcLlcfJz3MRlPZLCmyRpAgqR4UxecTqcTTdNIs4QyFnnBPHNOzYnaajpaqrTO7/fj8XgiskmbfZsBaONoY3awczqdZsZI0zRz3aTw9arC10cCcNqcpJNOhpZBmV5mnpcTpdxOrQ9VsdQu2vdmjRo3CCGEEELUJVVq17NnT5ZtXwbAZ97PoA1s27YtnkM74alASF2Qj04YTcAfoClNI0rIdF2P+dP7E4U6TuHNG9RtWwJbAGjnbAeESufUfCQVHKk5SOHlY+pnp9OJ1+vFYrFwm/O20D6sdrNxw4nSeVAdWzhUaqcaikSjRkHSvHnzePfdd9m2bVulaEx1ohFCCCGEqCl1PdG9b3fm7J5z6I40ySTVB+HNG9ra2uINes2LT7/fbwYAomoq0FSBUWlpqXnfFv8WAHKcOWar9cTERLO9twqQgIggVHW9U0GUyiip86DK7U6UTJIqtQvPthmGEXUmKeZyu2eeeYbJkyfTrFkzVq9ezSmnnELjxo3ZvHkzZ599dqy7E0IIIYSoRGWSGnVpRNAIu6hLhd27d59Q8yrqG1VupxaUhUMX66qMzOPxyJykw1BrSfn9fsrLy8326cV6MfuD+9HQaGlrac4zCm/QYLFYIkrsFHVewjvcqZIzwOxudyKUQqqMUcVSu1jmysUcJD3//PO8/PLLPPvsszgcDm6//XYWLlzIlClTKCwsjHV3QgghhBARDMMwM0nF6cUR92lpofkYu3btisfQBIcWk3U6nQAUBgtZ6lvKUv9SALMRgWSSqqcaXPj9frxeL8FgkGAwSJI1ibua3MWk1EkkWBLMLJIKitQFf/hCs+FU8AqhMr2f9Z95Lvgc8z3z0TTNzK40dCpIUgGlOk6xLHQcc5C0bds2Bg0aBIDb7aa4OPTL68orr+Rf//pXrLsTQgghhIiwefNmCgoKcDgc/OL5BYBRbUcB4MwIXZhLyV38GIZhXoDabDYK9ULe977P4sDiiA5qku2rmir5Uo0UwteVslls5LhzGJ46HAgFPS6XC7vdjmEY2Gw2M2tXcb6XCl5VYGCz2QgQYA972KvvjcjyNWRVNWxQzS5iyaTFHCRlZmaSl5cHhBZ1W758OQC5ubmSVhVCCCHEUVNZpG69urFi5woAruxxJQBGSuhaQ4Kk+LLb7bhcLmw2G01sTQAophhfMHTB7/V65bqwGmq+lsoi+f3+iIYMwWAQn89nls6p4wyh8rrwZgThVGAU3gZcdR4MXyvJ5/M16HOjskgqkA8vtavTTNKpp57KRx99BMDkyZO56aabOP3007nkkku48MILY92dEEIIIUQENR+pd+/evHTeS9x48o2c3vZ0AHxOH1glSIondTGuSrsSLYk4cAChNuDBYNAsIWvIF+M1FZ5F8nq9+Hw+NE3DH/DzZt6bfF3+NbolFAg5nc6IZgw2m808plUtjBpebme1Wkm3pwNQaBRGlPc15POigqTwEkXADD6jLTeMubvdyy+/bO78hhtuoHHjxnz99ddccMEF/OEPf4h1d0IIIYQQEVSQ1L9vfyb2msjEXhMxDIO2aW3xHfSxw7lD2oDHmWokoLIZqZZU9un7KDAKzMzIidJqOlaq5Mvr9eLxeMzs0a7ALhaXLcZZ7mRI0hBsNhsul8vMhjgcDrNsLHwR2XCqBFI9JtWSCoQWlC0xSkjVUykvLz/Gr/jYqa7UDjBLG6MVc5BUsSf7pZdeyqWXXhrrboQQQgghKglv2tCnTx/zdk3T2DRlEy+88ALXl10vmaQ4U0GSw+HAbreTpqWxj33k6/nmJ/Yqk6QuUgXmmkgejydiHR9N08j15wLQ1tkWDMzmGKqrncoiVSwjCxd+Xmw2Gw6rgySSKKGEIqPIbM8eDAarfPzxLry9eXjDhvB5YNG2QI8qSPrxxx/p1q0bFouFH3/88bDb9ujRI6onFkIIIYSoaOvWreTl5WFz2Fhcvhh2Qe+s3li00MVOdnY2IOV28aTW+AHM7EaaJQ2CUEio07EKlBpyWVdNqAVdVWML1W3OMAw2ezcD0MbexgyKXC6XuRCq1Wo1j2d1i/SqTFL4WkkpWgolRokZwHo8HgKBgFmW15AcrtSuvLw8pmYiUQVJvXr1Ys+ePWRkZNCrVy8z1VeRShcKIYQQQtSEKrVrN6gdt35+K8lLk8m7PQ9+S0ZIkFQ/BAIBDMMw1/BRZV2FRqHZzlqV3YkQ1V0t/GJdZdt0XWezPxQktXO1M4+tyiSpbJK6zq4uSFJleHa73QyYmmpN8Rpecy0mlVFpaFSABJhlduGlduXl5TG1P48qSMrNzaVp06bm90IIIYQQdUGV2qX2SgVgcPZgrJbQBeEbP7zB3Z/fDRfAgY8OUF5ejtvtjtdQT1jhC8iqbERfe1/aam1J1VMB8Hg8MU2SPxEYhkF5ebm50K4KkAzDoEwvY09gDwBtHG3Msjm73R4RJB1uPhIcaqqhskkOh4NL7Jfg9/txWENd71QDh4amYqImvNSuuLjYPN4JCQlR7S+qIKlVq1ZVfi+EEEIIUZtUJsnbzAteGNpyqHmf1WJle/F2LE0s6Ojs2LGD9u3bx2uoJyw110NdxFssFppYm9Ao0Agd3QwAvF6vBElhAoEApaWlBINBrFar2Qo8GAyS68vFwKCprSlJJKFpGm632wx4wi/4wzMkFYWfG/WvCsSABnteVDYOqFRq5/P5KCsrwzAM3G43BQUFUe0zqiBJtfyOxgUXXBD1tkIIIYQQimEYZpC01dgKwLBWw8z7W6WEPqi1plvR0dm+fbsESXESPvfF4Qi1/1YX72o9GskkHaIaB5SVlZkBkipH1HWdXb5dAOQ4c9A0zVyHSrX/tlgsZrCj5htVR62vpAIm9Vg1DrVGU0NS8X2mXruag6Ver1rDKxpRBUljxoyJamcyJ0kIIYQQNbV9+3YOHDiANcNKni8Pl81Fv+b9zPtbp7YGIJAQAAvSBjyOwluAq4VOvwl8Q76ezwjriIgOdyKURSorK8Pn82Gz2cx21KoJxmlJpzEsbRjlwVB77oqd7cL7AYS3ta6K6m6ngq29xl7+xb+weW3cZL/J7K7XkDoPVlVqp4JB1UDEarXi9/trd50k+RRACCGEEHVNzUfKGpDFDnbQ/6T+OG1O8/6sRlnYLXb8+KGRNG+IJ5WhUPOSNE3j88DnFBvF9LD0INPIJBAINMgGATXh8XgoLS0FQsdOBZDq4t5isdDI2ohkW7LZec7pdEZkhdT1uApKq2O1WnE6nWa5mcviYg97sBk2swW2ymI1hCApvKOdCiQ1TTNfa/haVB6PJ+rAveE1SBdCCCHEcUmV2rk6uIDIUjsAi2ahZUrL0A8pEiTFkypnstvt5po8qVoqAPl6fkSm5EQXDAbNLJLK8Kj1ipTwTIcqZXS73RHrIakFUo8U2IQvPmu1Wkm1pgKhBWVLKTXbYTcUFeciwaGugeEt1lUZaHVNLyqKeTFZgNLSUr788ku2bdtWaeXaKVOm1GSXQgghRL0RDAZZsmQJu3fvJisri6FDh0b9h1XUnAqSbmh9A73O7UWL5BaVtmmV2opN+ZsgVYKkeFIX7haLxcxapFnS2K5vp8AoMOckNbS5LzVRVlZmXqw7nU5KSkrM6+dAIMAqzyq+KvuKAb4BDHIOwm63k5CQUGXThiPNR4JD88XUl9PmNBeUzQ/k0zzQ3Cy3O96p4Ed9D5iNMcIDI/UvEHVHzJiDpNWrV3POOedQVlZGaWkp6enpHDhwgISEBDIyMiRIEkIIcVybP38+U6dOZceOHeZtLVq0YPbs2YwdOzaOI2vYwps2DOg7gAGtB1S5Xd+svuw5sIe1vrUSJMWJmvxvGIY5/8VqtZqZpAKjICJb0lDKumpC13XKy8sxDKPSPBld1/H5fGzwbmCddx0tXS3RXBoOh4OEhISItX5U04bDdbZTKna4s1gsJJNMCSUUGoXm/Chd14/7D38qZpECgYB5jNR7UL0P1Xwwp9N5uF2aYi63u+mmmzj//PPJz8/H7XazfPlytm7dSt++fXniiSdi3Z0QQghRb8yfP59x48ZFBEgAO3fuZNy4ccyfPz9OI2v4du3axb59+7BarfTs2bPa7R47/THeO+c9WC+ZpHhSn96HNwlIs6QBUEihOe8llonyDZG6QPf7/djt9oishgo0c/2hNUhzHDnmGkgul8sMdMLn2kSTSQpfK0k1b0jRUoBQKWR4duV4Fz6nS70mddwCgYA5B8nv95vHJdrsZsxB0vfff88tt9xiTtbzer1kZ2fz2GOPcdddd8W6OyGEEKJeCAaDTJ06tcoSFHXbtGnTGsSFRX2kskhNxjThzsV38sOeH6rdNjs7G4CioiIKCwuPyfjEIeEX6SpTYbPZIoIkwPz0viGUddWUx+Mxv1fNF9QxCQQC+PGzwx/6UCbHmWM2wnC73Wbrb8DMREWbkQsvt7PZbGaQVEQRgBmkHc9UkKm+DwQC5jw5CAWoXq/XbCCigqRo348xB0lq0TCAjIwMs/1mSkqKfKIjhBDiuLVkyZJKGaRwhmGwfft2lixZcgxHdeJQne08HT0883/PsKVgS7XbJiYmkpqeCkg2KR5UyZia+6ECJRUkFRgF5qf3DWXuS015vd6IuTLqgl19bfNvI0iQVGsq6dZ0M4uk2quHN21QZXTRUMGWKqdrojWhCU1w4jQbN9TH+WLhJZpHEh7kqTle6jVXFyDFcgxjnpPUu3dvvv32W9q3b8/w4cOZMWMGBw4c4I033qBbt26x7k4IIYSoF3bv3l2r24nYrFy5EhKg0BHKQgxpOaTK7faW7KX/3/pTeH0hPBgKkuT649gKn/Ohuqg5HA6aWZrxB9sfSNFS0HXdzJoc7xmLmlLlXyrjoeu6GTyqEjyz1M6ZE9FwQa0/pTJH0TZtUFSQpM7PYNtg+gX7YdVCDQ3UvKj6RL1n1PfhTSuq217N1VKd/xwOh5mlU6V2qtOdCjrrrAX4Qw89RFZWFgAPPvggaWlp/PGPf2T//v28/PLLse5OCCGEqBfU37ba2k7EZuXKlfBbd++uTbvSOKFxlds1TmjMjqIdGDYDEiWTFA8qOLJYLBiGgd1uD81N0hy0srQizZJWqUHBiUiV1YW3ozYMI6IEcUtgCwA5rhwgcpFeFRSpQCCWcrvwIKlicwY1FjWe+iJ8LCqQqy6rpILP8MYgar0utZCxx+PB6/Wa7z91HKJduyumTJJhGGRkZJif2GRkZPDpp5/GsgshhBCiXho6dCgtWrRg586dGJoBFwB5wFeh+zVNo0WLFgwdOjSew2yQdu/eHcrQ/davYWjL6o+xzWLjpOST2Fa4TdqAx1F45zW1po/6OXxdGrVo6olIBYjqwl0tcKqySJqm4dScJFgSaOtoa2aSEhISzCAJIucjRRskqbk5qj272pcKLupj58Hw5hSAGchVlVUKn4MUHqgDZvc+9fhgMIjL5cJqtcbU0S+mTJJhGLRr105+IQkhhGhwrFYrs2fPDv3QGOgFnApYDk1UnzVr1nHfMrc+UvORqltEtqLWqa1D36RKkBQv6qJdtQFXF6nrjfUs0BewjW3oum7OCznRGIZhZjHC5ySFBydWq5WrG1/NX7P/SgdnBzM7pzJA4U0bYgmQALNLntkG3GrhJV7iUR6lKFhEIBCgtLS0XmaSVOCtMkMqqxS+HpIKQFUAqLKbKjBXa3SpIMvlcpnfRx1oxjJ4i8VC+/btOXjwYIwvWwghhKj/xo4dywMPPAAHAHVdlxxaJ2nevHmyTlIdWblyJTjBm+YFYGirw2frWqW0Cn2TKkFSPITPr1FZDtWy+mf9Z74MfkmukdugWk3HquJ8JBUAqAyHyiRpmobVYsVhd5glcna73WyrDpjBQLQNB+BQoKHm4disNoopppxy8oJ5ZjBRn4QHSUBEwAiYGTiv1xvR6jt8jpzqqKjmJAUCAXOekvqAq04ySQCPPPIIt912G2vWrIn1oUIIIUS9Z7VawQAKQj/3GtmL3NxcCZDq0MqVKyEFUiwptEltQ4vkFofd3swkpUiQFC/hF7ThC5eqBWULjULzQrw+dlGra+FzYVQjAXU81AW73/CbAUB49kQFN+FNG2qSSVJZFrW/FEJtwAv10LkpKSmpt5kkRc01UsGQyoAFg8GIRWHDF+oN72qnSvJUKZ7dbqesrCyq8cTc3W7ChAmUlZXRs2dPHA4Hbrc74v68vLxYdymEEELUG4uXLoZkSNPSyCefQq1QSuzq2KpVq2AffDjiQ7qdfOROdRUzSfVpXsWJILyzHWBexDqdzioXlFWBwYl0jlQ5WHjHNtVtTZXbPbHvCQqCBVzT5Bp6pvY0L+adTqd5UR8eIMV6/NScJJVNStFS2GnspJBCMytTX4Kk8ACpqtepfgerlvJqm4qLyapMUnl5uZnpdLlc5tpJZWVlUWfQYg6Snn766RPqTS6EEOLEoes6S7YugZshn3wA9vr2xnlUDdu+ffvYsWMHmqbRp08fktxJR3xMpyadGHDSAJYvW47H4+HAgQM0bdr0GIxWKKr8K7w0StO0iLWSADOTdCIFSWo+kgqG1GtXZWLBYJCAEWCLbwt+w0+qLTWinXrFpg01DZJU+Z7KUKVoKWCEMklwqPRPBRDxpALJ6l6jagSiSvBsNpsZFKm5S+q9pgJzj8eD2+3G6XRit9spLS2NWNz3SGIOkiZNmhTrQ4QQQojjws8//0xp09KI28ocZZSUlJCUdOSLdxG7lStXggYdOnaI+hgPbjmYb675hsw/Z7KXvWzfvl2CpGMs/MJdTYwPzyQVUGDOySkvL683GYtjwe/3m3O2bDab2SygvLycQCCAruvsDu7Gb/hJtCTS3NXcDDrDW39DZGe7WIUHSZqmmeV26tyoJhL1QVWlduH3qWNqGAZOpxOHw2FmldTiuIFAAK/XS1lZmVnu6HK5SExMNLNLuq7jcDiiGlPMc5KsViv79u2rdPvBgwelHEEIIcRxbcmSJdAm9P057c8JfZMGW7ZsiduYGrpVq1ZBNuSOz+Waj66J6bHZ2dmAzEuKB5X5UIGSajaggiQfPjx4Tsi1klRZncoihWeWlI2ejQC0dbbFoh0Kjux2u9lOHQ5lkmJp2hBO7ddms4UySUARRWYL7fDue/F0uCApPCNnt9sPNaMIm7tVXl6O1+ulvLyc8vJyM4uUnJyM1Wo179OsGmtL10Y1ppiPeHUH0uv1Rh2ZCSGEEPXR/5b+D5qHvr93+L3kfJ0D70Fubm58B9aArVy5ElqBz+qj0FsY02NPyj4JLBIkxUPFC3eHwxGaA2NxkkACAAcDB81P9+vDhfixogJDwLy4V+tFqaBks28zADnOHDPTY7FYIuYjKTUptQPM8j3VKa+xtTFNaUoaaQSDQbxeb71pqlFdkKQCOXWfOk7quIYfK4/HQ1FREaWlpWiaZgZJHo+HsrIyvtr/FRf87wKu+Ty6D2OiLrd75plnzAH+7W9/i0iJB4NBvvrqKzp16hTt7oQQQoh6xTAMFm9eDB2hmbMZp5x0Cj2TerKpYJMESXVo5cqV8NuySIdbRLaice+O46MeH8EGCZLiQV2whl/cut1urFYrk22TcQVdJJNsdnQ7UTJJuq7j8YQyaE6n0+zIpuZlBQIBNE1jk3cTAO2c7cwyu/A5SRCZmKhpkBSedWnraMsNvhvMcarArT7MF6sqSFLztyCUEVML8qpOdmp7FXiqkjp17BMTE7FYLHi9Xv6b+1/uWXNPTGOKOkh6+umnzRfx4osvRpTWORwOWrduzYsvvhjTkwshhBD1xdatWzmYFFoH8PT2pwPQpk2o9k6CpLpx4MABtu3YBqGquSMuIhvOYXVgaIaslRQn6mJVXbCqUjGLxUJLe0s8QQ8WzRIRNLhcrngPu85VbFShMjWqYUAwGKQoUMS+QGjqSltnW7NkTK2RFL6IbHhJY6xUcBTeDEIFtmouT33I8lXV2U6VAwLYbDZzG3U8VPCkmjeorJjP5zM7BDocDkpLSyksLuSZjc/EPK6ogyT1B2LkyJHMnz+ftLS0mJ9MCCGEqK/C5yONyhkFQEnzEhgJq/esjuPIGq5Vq1ZBM8AJyc5kumd0j/qx5lpJqRIkxUN4kKQCAjVfpOKn/OElUw1deXk5Pp/PPA7qtYdn1HSLzqiUURT4C0h2JJtrTFmtVlwuV600bVBUJkkFSBaLJaJpQ7RrBtWlilkklXGDQ+NX5YvhpXbq+Ho8HrNBiKZpOJ1O3G43drudoqIiVuxewX7v/pjHFXN3uy+++CLi52AwyE8//USrVq0kcBJCCHHcWrJkCXwNPS/syaltTgXgR+uPMBw2fr8xzqNrmNR8JIAhLYdgtUTfACp8raRta7bV/uDEEVXVvMFqtbLb2M0qYxUpwRRODZ5qZpJOBKrLmt1ur1RmqLrcNXE04ffNf095ebkZvKjjF55tq2nr73Aqq6LO01x9LhvZyIVcSJNAE7NDXDyFB9Wqk50KEG02m5k1Cg/yIDT3q7y8HAj1RlDlgwkJCaSkpJgB1N6ymi3jEHPjhmnTpvHqq68CoQBp2LBh9OnTh+zsbBYvXlyjQQghhBDxtmTJElgL959yP9kpofqvDhkdANgf2B/3C4mGKDxIimU+EoRlklJg586d5oWTOHYqBkmqi1qelsdSlrLGWGPOx4l2Ac/jWXhWAzDnyqjMiLo9fM6Rw+Ewj2HFpg3hJWY1pdYVUovK+g0/5ZRToBeg6zqlpaVx/90WnklSnew0TTOPRcXjpjJIqqW3mo/k9XrNjneGYZjzk5olNKvRuGI+6nPnzqVnz54A/Pvf/2bLli2sX7+em266ibvvvrtGgxBCCCHiaf/+/axfvx6AwYMHm7f3bBn6e+dP9JOXlxeXsTVkq1atgu3QPbk7I1qPiOmxrVIPZZKCwSB79uyp9fGJwwsPkgzDwOVy4Xa7I9ZKUhe0Pp8v7hfjdU1lkVTDAXVMVIbD7/ejGzq/en+l3F8eEQgAZsZHURmko8kkqVI71UEvmWQg1AZczUmKdymkel+oEjqVVVPvKzU+VWqnygRVxsnv91NcXGx22na5XOZcJV3XGZw9mAxXRszjijlIOnjwIJmZmQD897//Zfz48XTo0IGrrrqKn376KeYBCCGEEPG2bNky6ANthrUhOTXZvL1jRsfQN2nSvKG25eXlhY7p1/DV5K8Y0GJATI83y+2cgFvmJcVDxTbgqtxOBUnFFBPQA2aGpaEHSerCHQ7NJ7JYLHg8HvP179X3MmPrDG7YfAP8FvuoIMblckVkS2qj3E61FVdNIdS5KaSw3jVuUMJfc3ipnVpvqrCwkJKSkohFeouLi81sXEJCqAW9WkzWbrXTLa1bzOOKOUhq1qwZa9euJRgM8umnn3L66aEOQGVlZbKYrBBCiOPSoiWL4DzIPTWXfaWHFkxvk/pbJ4c02Lx5c5xG1zCtWrUKgJycHFJTU2N+vNvu5pz259BkdxOwSpAUD+FBkpo/4nQ6aaQ1woIFHZ3CYOEJESSp1xjetMFut+P3+/H7/eZFfq4/9GFLtiMbm9WG3W5H13UsFgsul6tSJuloW3OrtuLq/FRcUFbNm4rXuamq9bfKGKnxqUycz+ejpKQEr9cLYLZYV+siJScnR7T9VoHqluItLNm7BIAUR0rUY4s5SJo8eTIXX3wx3bp1Q9M0Ro0KdQBasWKFrJMkhBDiuLRgwwKwQKY9k5OSTzJvN+e9OOHn3J/jM7gGauXKlZAJ3frF/gmv8p/L/8OowlFQIkFSPFQst1MX+nabnRRCF6P5Rj5+v79eZCzqktfrpayszGxBrcro1GtXgdCvnl8BaOtoa26nysvcbneloOFogyR1jlQb8DRrKJOkyu1Ul7t4CX+9uq6b89fUHCM1NtVO3ev1omkajRo1wuFwmLcBuFwuHA4HHo/HbE1vGAaP/fAYft3PwKYD+fS0T3mq31NRjS3m7nb33Xcf3bp1Y/v27YwfPx6n0wmEUoV33nlnrLsTQggh4qqkpIRfA6ELl5FtRkbc57a7STKSKNFKWLNjTTyG12CtWrUKLoWPUj/i6+1fMyh7UI32k50darIhQVJ8qDkvapFU1XwgRUsh38inwCgwL37jPfelrui6TllZGR6PJ2I9Iq/Xa5aFqbWkNpaHOmXmOHPMBgOapkUsIguHgqOjadqg9mOz2cxSyHRbOvhCQZLKfoU3SzjWwgPnYDCIx+PB4XDgcDjMY6YCzmAwGDHHKhgMUlBQgM/nM4NM1S5ctV1ftm8ZS/ctxapZuaXrLWiGximZp0Q1tpiDJIBx48ZVum3ixIk12ZUQQggRVytWrMBoHfpDfX638yvdP6XZFB7680MUn1x8rIfWoC1fvxy6gIZGj2Y9aryf5i2agxO2bZM24PEQnk0CzO5iKpNUQIF58dtQM0mBQIDS0lKCwaB5Aa8ySyqrYbPZKA2UssO7AwgFSXa7HcAMLsMDIhW01EYmSS0oa7FYSLGk0JSmJJOMz/CZ5YDxLreDyvOwwheRVc0/VBCqutepbFNaWpp53A3DCLWd1/08vfZpAC5pdQmtEkPzGFWC50hiDpLuv//+w94/Y8aMWHcphBBCxM2CJQsg1I+oyg5rp3U8jYfyHmJr7tZjO7AGrKCggG2EgppezXqR5Eiq0X5e/+F1bsm/BS6E7ZskkxQP4fOSwi/2z7CewamBU0nWktF1Ha/Xi9/vj/oC9Xih5s0UFxej6zqNGjWKmJ+kyuwAcr25GBg0sTWhsbMxdrsdwzCwWq1mFkSpjaYNigrcnE4nDquDG7UbQ89rWOM+X6ziOlKq2UV4CaDFYsHv95sldFar1VwXyefzme87q9VKWVmZuUBuobeQLHcWxYFirm53NQBJSUm43e6oxhZzkPT+++9H/Oz3+8nNzcVms5GTkyNBkhBCiOPKJ2s/ga6Qac0kq1FWpfvbtAk1b9iyZUvEBY+oudWrV5vrI41sO/LwGx9Gk4Qm6OiQIuV28aLWR1Lsdjs2m410azregBeN0FwTtWZNQ+P3+ykpKTHLDe12O8XFxeYCuuHZkM2+UPOXto625vwt1dTB7XZXCohqq/xNzUlS+wxvrR0IBMw5PfEQ3v47GAyaQbfKcKl23uFjV23WS0tL8fv9uN1unE6n+T5Tv6czEjN4vOfjFOgFpLhScLlcJCcnR7RdP5yYg6TVq1dXuq2oqIhJkyZx4YUXxro7IYQQIm78fj/rytYBMKzVsCq38SZ60UZq+Hw+du/ezUknnVTldiJ6K1euhJah76s77tEw24Cnwt69e/H5fObFoDg2KrYBdzgcZqDk9XrN+UqqXKohUS20y8rKzG52KsMRDAbNtX5UG+tTUk7Bho10PR2r1Wp2cbNarbhcLnO/KoiprSBJBbKqxbgKTIJGEF3XKSkpiUsmqeJzVpVJ8vv95pjVMVHz29TCvSoLV1hYiNfrNd+PKvuU6co01/CyWq1Rvw9r5eOw5ORkZs6cyT333FMbuxNCCCGOidWrVxP4JECjdxtxzxlV/w3bW7YXY7gBfWStpNqy7Ptl0DT0/eDswYff+DDMBWXdYDgMdu7cWQujE7FQQZKal+R0OnG73ZQZZSxkIe8F3jMzFg1tXpLP5zOzGqpsTGVlVLc2OBQMtElsw9mpZ9M7qTcOh8M8dmoNo7rMJKlyNKvVylJtKY/yKJ/zOYFAIG5zkirOR1LHS809UtTCvOp9ZLFYKC8vx+fzmfO9DMOgrKwMwzD4ueBnHl/7OPtKQss5qKYV6j0abQORWqsZKCwspLCwsLZ2J4QQQtS5JUuWgA4jckbQrVnVrajbpP22VlIqbNq86dgNrgFbsXsFAK3drWmc0LjG+0lyJNHY/dvjU6XkLl5UkKQ+wXc6ndgsNpaxjNWsxqN7zNbODYUqU/P7/Xg8HjNQUhf+4YGHyjIZhmF2krPb7WZ5mZrHFV4KB0ff2U5R5XYqWLBipZxys8NdaWlpXDoPVmz/DUTM5XI6nQSDQfPYqnJN1TnQ6/XicDhwu90UFxeHSvQCfmb9Mov3d7zPa9teM+d7qe6Bap/RiLnc7plnnqn0Anfv3s0bb7zB2WefHevuhBBCiLhZsiS0wODQoUOr3eakRidhMSzoVp0fcn84VkNrsIqKitj97W4ogFtm33LU+2ud2pqD5QdlXlIcVSy5czqduC1uXLjw4CFfz6dFsIXZeSweraZrk+qepi7gVQMBNX9GBT8Q6van6zqbPZvZUrKFVrSiqaOpuYispmm4XK6IdZFqq7OdosrtVJCUakkF/dCCsqps7Vifm/D5SOr51XFVmTY1V0mtP6UWilUlgm6322yc4fV6+bLgS9YVrSPBmsCkNpNISkoyA0RVihttsB5zkPT0009H/GyxWGjatCkTJ05k+vTpse5OCCGEiAtd11lYvhDOg6Y9mla7ndViJVVLJY881u1edwxH2DCtXr0aiqHlgZbcOOTGo95fq9RWrNy9ElKlDXi8qItwdYHtdDpxOBykkIIHDweDB/H5fHFtNV2diou3RkNlxVSAoS661fyi8vJyc9tAIIDNZmNx/mI+3PMhZySfwcRmE80gSc0VqhgU1XawotqA22w2kkkGQkGSYRhm8BqvIAmIaCKhxqGCTXU81fussLAQj8dj3lZUVBSaC6b5eGnzSwBMbD2RlmktadSokfmaHA5HpVK+w4k5SJJ6bCGEqBuv//A6WUlZnJ5zeryHckLYsGEDZTll0AzcWYdvCdvc3Zy88jxyC+Rv4NFauXIlAH369KmV/Y1sPZL1P69nbf5aySTFSXgmSc1/sVgspJLKXvZSSCHBYNBszVxfGIZhtpBW83WORK35pBoKlJSUUF5ebjZFCAaDZqc7h8OB3+/HbrezoXQDEOpsp7Ia5eXlZpe7imozWFGvT2VUGtsaQ+C3BWWDATP7daxVzCSpjnZq/SiVqVONPyD0/iopKcHr9dKoUSO8Xq+5yOzbO98mz5dHdkI241uOx+VymZ3s1CK04QHskdRKsaNhGHzyySdVLjIrhBDiyL7e/jUTP5jIGW+eUe8+aW2o/rv4v9As9P1p7U477LY56TkA7PbsruthNXiL1iyCk6Fln5a1sr8bT7mRKc2nwEYpt4uX8DbgKjiwWq2kaKEFZQspjGjPXF+EX6SHX4gfbns1BwkwO8MFAgEcDofZhhowL/itViuGzWBjyUYA2rnamRfuasFUp9NZp5kkFcSq85JmSwMgSJCiQJFZ4nYs//aozJXKGqmsHGAGSaqMUXUR9Hg85OXlUVhYiGEY2Gw28zjt0/fx7tZ3Abgx50aS3EkkJSWZc71sNpvZ2CHaTNJRBUm5ubncc889tGzZkgsvvNB8cUIIIWLzRe4X5vd7SvbEcSQnjg9/+BCADCODJglNDrttl5O6AFBkLWqQa70cS/9X8n9wLqxNX1tr+8zOzgYkSIqX8CDJMAyzrCtNC12MqyBJXfDWFyqgURfaau5LdcGCanIQDAbNLJLH40HTNLOsq6ysjEAgYLazdrqdfLLnE4JGkERLIunWdDOYUg0cVKmiagkOtde0QQnvcGez2EgitIBzfjAfv99vlrkdK+EBavi8I3WbOj4qMFXHRx1b1QpcHbtXNr5CwAgwsPFABjYdiMvlIiEhwSzzBMwgOCEhIaoxxnwGvF4v//znPzn11FPp2LEjDz30EDfffDP79u3j448/jnV3QgghCE0+VzblSwe1Y2F1QWjdv0HNBx1x2z8N+ROOlxzwocx7ORrFxcUcTDoIwDndzqm1/Z6UfRIkS5AULxXbgKt5NqmWVCBU1qXK1OK5cGlF6kJdNTVQjQLUOjzhAoEA5eXl5vgtFgsFBQUEAgESEhJISEigrKyM0tJSAoEALpeLJQeWcMH/LuDRnx4FoFQv5ZYdt7CieIVZkudyuSLaf9dkjlQ0VDZFBbBtaEMOOeZrU1mWY6Wq+Ujh7dRVGaJ6T9ntdiwWC8Fg0Fz/yOVy4fP5KCsrY1qHaYzNHssNOTeY2Tk1By58PaqkpKSoX2fUQdLKlSu5/vrryczMZNasWYwZM4bt27djsVg488wzSU5Ojv0ICSGEAOCKHlcwqu0oAH7N+zXOo2n4tm/fTkmTEgDG9xt/xO2zGmXRNqUtBGVu7tH4v1X/B7+txXtet/NqZZ9F3iL6fdAPboa84rx6N+/lRBHevEGtXdPN0Y2buIkrudLMJNWnNuDhAYlar0hdUPv9fjPzoAK88vJy86Jb13WKi4uB0HqhgUDAbEMN8HX+1/z5xz+zpyyyMiA/mM/96+9nycElZtBS8aK9trNIap8Oh8Ps8HaJ7RKu5EqyyDJL2Y6l8EySmnekSv5UUOR2u815Reo4lZaWYrFYcLvdESWcybZkrsu+jgxbBlarlcTERAKBAFarlYSEBPM9qRY3jkbUZ6F///44nU6WL1/Ot99+y5QpU2jWrFnNjowQQogIwWAQd3moecD/Vv+vXpWkNEQfL/44tJipAWd1Piuqx7RpE1ovSYKkmvvwuw/BBk6/k3bp7Wpln8nOZBLtiaEfpA143Kg5NWqCvMPhIMGaQAopWLGa2YJYJs7XJVXKBYeyNuriXJUOquCorKwsolmD0+mMKLtzu92UlpZSWloKgDvRzaz1szCoPmPx3KbnwIIZtIQHRnXRYU4FsaqNdvhzBINBMwA8VsLnI6muduo9otaOUvOUVHBXUlJiZsRUELSrfJdZqqcCVLfbbT6Hmu8FmMFttKIOkk477TReffVV7r//fj799FOZWCyEELVk9luzadmhJf9+5d+wHd544Q1at27N/Pnz4z20Buvzbz+Hg9A02JR0d3pUjynoWgBjYHXu6jodW0O2ZGtoXaoce06tXgi2Sm0V+iZVgqR4URevKlCq2LEtPDtTH64hwwOkiu9Fm81mNg9QJXRlZWXYbDYzG1FQUGCujWS3280yO6fTyQ/5P7DPu++wz7/fu5+1JWvNIMlqtdZZqZ3ap91ux263RzQ8CBKMWCvpWKnYtEGVxqlSTbvdTllZmVl6pxphWCwWUlNT8Xg87CjcwTUrr2HGxhl4CAVTCQkJuFwu8/WoRWfNJhq/zZmLRtRB0meffcbPP/9Mx44d+eMf/0hWVhZTp04F6uZkCiHEiWD+/PlMWzyNXb/bBUXAq8C3sHPnTsaNGyeBUh3Z8MUGeBae7vH0kTf+TW6jXOgFP+/7ue4G1sBt9Ic6fA3Nrn7x3pow5/SlypyxeAlv3gChT/NtNhtLWco85rHTt5NAIIDH46lXQdLhStsCgYC5JpJ6jNvtpry8nLy8PAAaNWqE3+835/RYLBaKjKKoxnDQd9AMxtR8qCONqaZUkOR0OrHZbKwPrucRHuF1XkfXdTMLdizOTXhnOwgdZ7XulCp59Pl8Zgmg0+mkqCjUNMfhcJhzk1789UU8uofyYDlpCWkkJiaSnJxMYmKiWTapMoHqXIY/75HEdBays7OZMWMGubm5vPHGG+zfvx+bzcbo0aO56667WLVqVYyHSQghTlzBYJA/3f4naE7ot3FYd2n1S3zatGlSelfL8vLyWLNmDQCnD49+TarspFAHtW1FchFeE8UlxZSmhC7Exp1Su0uGtEqRTFK8ha+VpMqlbDYbG9jAGtawj31mF7X6oGJnu4r3qRK78BI1i8VCeXk5BQUFeL1eHA4HSUlJFBcX4/F4zLkzWUlZUY0hMzEzIvtW15kkwAyU3BY3HjzmgrKqWcWxCpLUv6rETs1HUse7qKjIHG9ZWRnFxcVmIG6xWFhTuIb/HfwfGhrTOk0DIxSYp6SkmNkkta3avyrJKykpiWqcNQ5VTz/9dN566y127drFn/70Jz755BNOPvnkmu5OCCFOOEuWLGGXYxdowD6g+Lc7LIAW+gOyfft2lixZEr9BNkBfLv0SLNChQwcyMjKiflz7Ju0B2OvfW1dDa9B++vEneBrSPk5jZJeRtbrv8EySBEnxocrtVKCk2k2ncGitJHWhWh/WSqouIFGd3lT2SGVgVDATCAQ4cOAAmqaRmJiIpmmUlJREzFcakDWAzITMwz5/hjODk5udXGl+UF1kkcL3rc5LeOdBf8BvrpV0LIQHYmoNpPCmDSUlJRQVFZkBdUlJidn22+VyYWgGs3+ZDcDZmWfTIbEDwWAQp9NpNpJTa1HZbDYSEhLMbnf5+fkUFhZGNc6jPhNpaWn86U9/YvXq1Xz77bdHuzshhDhh7N69G9r+9sPm3/69CrgbyKywnag1f1/+d7gD7OfbY3pcj5Y9ACh3lJulKSJ6K1euBB8MajYIqyW6xRyjJZmk+kFd8IcvXppKKnBoraTS0tK4l9tV1bQBQouXlpeXm80DbDabmelQbaVVG3Bd13E4HBQWFpoZJ5fLFSoztNronNb5sGOY0mEKLkco22G1Wg+b2aoNKgvjdDpxOBykWELBa5AgJXrJMV1QtmKpnZqrpmkawWDQDDrVfCXVJENl8z7c+iHri9aTaEvkxi43mi3X1fsufE0udR5V63AVbEWjVsPVPn361ObuhBCiQcvKyqocJAFYgfQK24la83/7/w+ckH1SdkyP69q8a+ibNNiyZUvtD6yBUyX5ffv2rfV9d83oysgmI2G9BEnxFN4GXDUJSLMcWlBWZZLiXUIcHiCp9tPl5eURzQscDodZnqUCJLVYbDAYNNc2Ki0txe/3m2v6BINBNpZs5MtdXwKQ5kiLeO4MZwb3d72fkZkjzS5sdV1qp6iAwWq1kuBMMBeUPRg4aL7WeARJaiFbdT58Ph92u53U1FRzTpjqXFfgKeC59c8B8Pv2v6eJq4nZkVA10CguLqawsDBi7SUVSKWlpUW9bJGtbl6+EEKII8nung1fAjqw5bcb84CWQHroD1qLFi0YOrR2J7mfyMrLy9mXEOo6Na5vbPNi2qSGWoCTFmoD3rVr19oeXoNlGAbz3PPgdOjYs2Ot779Tk068ePqLdLyxI9uTtpsXXOLYUp/kq2DJ4XCEgiT9UCZJZWriKTwQ8PtDpWbh7csBc/0dtSaPzWbj4MGDZhOAlJQUs3Oaruvouh4qN7RamPH1DHRD56yTzuKR/o/w3zX/ZXfJbrKSshjUYhDomIu6wrELklTXQfW8KaRQQom52G95eTmpqal19vyKmoukyhdVx0NN0/D7/djtdlJSUrDb7Xg8HgKBgLnO0R7fHhrZG5FiT2FM1hi8Xq/ZjdBisVBSUmKeO1USqes6iYmJZqAb7ZpQEiQJIUScfLH1i9A3OwC1vmL+b//+lkmaNWtWRMcocXQ+/urj0LHVY28e0CbttyDJCT9v+pnzqJ3FUE8Eq3espqRZCaTDgL4D6uQ5WrRoAYTmLxQWFh6Tiz0RSQUaal6Ny+Ui3ZYOgUNBUni3uHhR2SLDMCKCIZvNZjYxUBftiYmJWK1WvF4vhYWFlJSURJTIqZbS6vH/2f0fvj/wPYm2RKZ1mYYe0OmR3IMcaw7JyclYNStYMRsUqPJENaa6nJOkMkkqoEgmmZ3spIgiysrKjklTjfDOdoZhmJmeYDCIzWYz53YB5Ofnk5+fTyAQIDExEYfDQY4zh9cHvM4+zz4ctlArbxVwqpbfZWVl5kK0apFglfmD6I9x3Z0JIYQQh3VO+3N45fxXODvt7EM3hrrK4sx0Mm/ePMaOHRufwTVQ76x4B4B0bzoprpSYHptgT2By8WR4APZuleYNsXh3+bsA2PfaadOyTZ08h9PlJLVVKrikDXi8hLcBV1kLVW5XTjk+3RfR2jleVNYmGAxGdHRTpYC6rpuLxKrMWH5+PsXFxfh8vojFSlUzBLvdTlGwiMdWPQbAH9r/gczETLxerxlAqQt1VY4YHlDCsVlSR3W3s1qtZFuyaUc7kkgyA8a6Lrer2LRBtYRXgWIgEMBqtVJaWkpeXh4lJSXmmB0ORygotTpok9oGl8uFw+HA6XSSlJRkZqZUAKrKKNX6SqoUNNoPHiVIEkKIOGneqDnX9LmGzLxQl4ZmzZqZQVKTDk0kQKoD3+z5BoA+aTWbQ9undR8IhsrtRPQ+3/Q5AK1oVWcXgmPeGUPB5ALoIvOS4iW8Dbi6KE2yJnETN/Fn/gyBQ+Vt8WreUHE+jGoYYBiGObnf4XCYF9rBYJCDBw+Sn5+P1+s1sxPqwl4FTA6HgwABOqV0on2j9oxvPd58PsAMpMLXQlIX7XW5PlI4dX5Ut75hlmH8jt/RhS5mud2xCJJUuZ3K/KgSO1VWZ7Va8Xg8lJSU4HQ6cblc/F/+//HGxjco85RFdFJUWSK1AC1gBqMqGFL7Vk031PymI4n5bOzdu5crr7yS5s2bm5O/wr+EEEJEzzAMPv88dAE5ZcoUs9xuZ/FOyv3lcRxZwxMIBNjtDHUKvLD3hTXaR5s2oSyIBEnRMwyDdaXrAOif2b/Onic7+bdGHKkSJMWTujZU7ZrtdjsppGDFak6gj2e5XcVMRnipnaLmF5WVlVFWVmYuZKqaA6gLdHXdq/bZPLE5fz3lr/z15L/itDvxer0EAgHzIj48gFQlesdqPpLaf3jmK/y6Xc0Xi2Wx1ZpQAZL6PjxQVbepbncQCi4Nq8FD3z/Ekz8/ydztc0PrPLndaJpmltr5/X7Ky8vNAEp1GmzcuLGZVVJllNEGozHPSZo0aRLbtm3jnnvuISsr66hO6H333cfMmTMjbuvYsSPr168HwOPxcMstt/D222/j9Xo588wzef7550OftgohxHHsg/UfsL1wOz1cPdi2bRt2u51JkyZx9913Qy6MO2scJb4S3HZ3vIfaYKz6fhXGKgNrjpUrbr+iRvvYl7gPRsP6gvXSHCBKWwu3UmorhSCc16vu5nHJWkn1Q3jw4HA4cLlcEfeHr5UUjw/XwwMSddGsFh1VJV8q22AYBiUlJWYLcKvVas6fUa+rtLTUDKpUQJTpyDS7tgWDQbNMLHxBVxWkhP8OOVZBkmpEofgJvVbV3a8uf7eFz0dSxyc8aCorK8Nms+H1erHb7bjdbv624W/sKt9FE0cTLsy+MCJJo4LX8vJyysvLzdepzql6j6lzaLfbo16nK+YgaenSpSxZsoRevXrF+tAqde3alUWLFh0aUNhJu+mmm/jPf/7D3LlzSUlJ4cYbb2Ts2LEsW7asVp5bCCHi5YXvXmDBpgVcknwJAAMGDKB58+Y0bdqU/f/Yz/Qp02ma2DTOo2xYvln2DXwFZySeQYo7tvlIisflgd7g/dVLfn4+6enpR37QCe5/v/4v9M0uGHTNoDp7HgmS6gcVbKhsidVqZR3r+JmfaUtbTvOdZl6MxyNIUhfIKtjRdd3McMGh7Eb49io74ff7zfktmqbh9Xrx+Xx8sOcD9gf3M6XbFJokNTHX6fH7/WbWJjwgq7jw7rHKJKnnsNlsOBwOiowinuZp/Pj5S/Av+Hy+Y5ZJUpkrtf5ReLmj3+83F4fdXbqb13NfB+DGjjeS7ErGarWaC8wqqrmGCqzU8fX5fOYcMPX6oy23izlIys7OrtWDZ7PZyMysvCpxYWEhr776Km+99RannnoqAHPmzKFz584sX76cAQPqpjuOEELUNU/Aw1dbvwKgcHVo5e/TTjsNgPbt27N//342btwoa8/VsiVLlgAcVUv1js1+a1+dGiq5kyDpyDZu3Qgl4NrnIjs7trWpYmEuKJsC21dLkBQv4WslqTbg+9nPGtZg41AHsnjOSYJDpXZqIVhVRqeyKCpYCs+qqMVWVfMFr9fLfu9+Xtv2GuXBcnpl9OLi1IspKysz11dSi8yGZ0yqyyIdi0ySmmtls9lIsaXg8YWaaBT6C81xV8z+1RYVgKl1slQg6XA48Pv9Znc9dZvdbue5Nc/h0T30SO3B6LajzaxcIBDA4/GQkJBgZp40TSMhIYGUlBQcjlDnu/AgV2X7on3vxTwnadasWdx55521tpDexo0bad68OW3btuWKK64wO9KsXLkSv9/PqFGjzG07depEy5Yt+eabb6rdn9frpaioKOJLCCHqk6+3f40n4CErKYvvPv0OwPwwqH379gBs+GUD+eX51e5DxEbXdRZtXwQJRxckmWslpcKmzZtqZ3ANXKv9reAJGOwbXKcXgWYmKRm27ZTudvFSsXlDxQVlVRe1eKyVVNUipl6vF4/HY3a2U5kOn89HeXk5Pp/PrHJS2zmdToLBIF6vlxe3vEh5sJye6T25pNMl+P1+dF2nrCzUYKBRo0Y4HA5zDpLKaqhyMKWumzaEU/N57FY7jWgEQIFeUOcLyqpjqwJNNU9ILcKrMlm6ruN0Oll1YBULdi9AQ+OuXneZ2SDVIVFl5lTwmZycTHp6OomJiTRq1Mh8nXCocYbdbo96MeOYz8gll1zC4sWLycnJoVGjRqSnp0d8xaJ///689tprfPrpp7zwwgvk5uYydOhQiouL2bNnDw6Ho9I6B82aNWPPnj3V7vPhhx8mJSXF/KrLT62EEKImFm0OlRj3Te/Lgf0HSEhIoH//0IT29u3bQ1eYGZzJ5fMvj+cwG5QvfviCwnMK4Wbo2rPmi8Bmp2SjGRrY4MfNP9biCBuuVatWAXBKn1Pq9HkyEjNwWp2gwfbC7VHPOxC1K3w+iKZpOJ1O0q2h68NCCs2MQbQXqrWpYtMGFRCoyfyqYYAq01LjDAQCZvvv8FK7FQdWsDRvKRYszDx5JhqhhUrz8/PN9ZPS0tIiWomr46MySep9eqzmN6pmB6qRRDLJABQQCpJiybTEKnw+klovK7y7oFozSQVKs9bPAmB09mg6pnQkGAxSWlpKcXExhmGYQZM6b6qMUJXUqYBVBeZer5fS0tKo33sxl9vNmjUr1odU6+yzD60N0qNHD/r370+rVq149913zZaKsZo+fTo333yz+XNRUZEESkKIemXh5oUAJB8I/XEaOnSoWRrQvn17KAVd0/k179e4jbGheXPJmwAklyST1iitxvuxWWykkEIBBazZtaa2htdglfvL+W5lKFvat2/fOn0uTdP4Q58/8MzTz+Av97N//35p9BQH4fNtVIlTuuVQkKTmosQrk6T+VV32VNMFh8NhBkRqvpTKioUHdQkJCei6Tn5xPs9teQ6AS9teSuf0zhQWFlJaWorP5wutEZWWRkJCAvn5+ebFuirBC5+DD8c2SApvHJFCirmgrMqe1WWQpI6jx+MxAyQ1P8wf8LO2bC1ej5dmnmZM7zKdv236G3/q+idzTSXVHEPTNJKTk7HZbJSXl5vrKKn5TuHzzFRApkoeo33vxRwkTZw4MdaHRC01NZUOHTrw66+/cvrpp+Pz+SgoKIjIJu3du7fKOUyK0+nE6XTW2RiFEOJo5JXnsXLXSgD2r9gPHCq1A+jQoYO5VtKWgi0E9AA2S8y/qkUFX23/CpKgW1K3o95XpiuTAm8Bm/M218LIGrbbF9zO6lNXg8ExmWM3+5zZzL1mLruLd7N9+3YJkuJEBReqDXi6PR28ECRIsR7KyMSjDXh40wZ1Ia0WjXW73RQXF5vBUzAYNDuhhW/ndIZae7+19S32+PbQ2NGYaT2n4fF4zGyFw+EwK5pUEwK1DxVEhq+ZpI7ZsaCyWS6XC6vVamaSiigy17CqKypIUpk4dYyDwSBf7vuS53OfJy+QZ27f1NmUKe2n4Aq60C2hc+d2u80smPpwUZ0/l8uF0+k0z5k65jabDY/Hg9frNY99NKIqtwuf11Nxvk9tzv8pKSlh06ZNZGVl0bdvX+x2u7l+CMCGDRvYtm0bAwcOPKrnEUKIePlhzw/YLDa6NOnCioUrgENNGwDatWsHxUAAAnqAbYUyt+JoGYbBVm0rAOd1PfoW1Gpe0p7i6ku/RcjCXxZCEiTaE2nduvUxeU5VPSId7uJHrf+j5iS5HW5z7ssB/4G4LSgb3rRBBS8q+FET/1UJmFrgVFFd2ILBIEVlRXyy7//ZO+/4qOqsjX+nz6Q3SAIJJEAg9GpDelMsoBSxra59iwq6rmXddZu7lt1VLOhrW117wQD2ghRBAZHeQiAJpJKQ3qbPff+4/C431JRpSebLJx8mU+49c2cy83vuOec5XwLw+2G/J8IQofTWmM1mwsPDiY2NVRbsarMH9RwptaudP8cJCIGh1+uJ1shOn3XUKWYIvnK4E1kedbmdwWBgVekqHj3waDOBBHDUfpQ/7f4Ta8rW4HK5MBqNREREKJlKEaNeryciIoKoqCjFSVD0N4ljrj72J2bxTkeL7hUbG0tpaSndu3cnJibmlC+kCKQ1Nab33Xcfl19+Ob1796akpIQ///nP6HQ6rrnmGqKjo7nlllu49957iYuLIyoqirvuuosLLrgg5GwXIkSIDsvk9MlUPVDF5+s/5+q6q4mJiWk2UiEiIoLkpGRKq0uhG+RW5dIntk/gAu4EbNi/AXe4G1xw49T2V0P8Y+I/+HLYl9Tp6pRBlCFOptZWS05dDgCjEkb5ZRHo9rhJ6JMAB0MiKZCI+TQiY2E0GokiioZj/4Rpgj9twNULf2ESIBbOYqCpGEYqFuRut1ux/hYuaU6nE3ujnacGPMVG60Yu7X0pdru9mVmFWLCrS/fEjCVRgij6kUTGzV+oZyWZTCaStEn0dfcliSTFcMIXAklkkdTH0eVyoTfqee7gc2d87LM5zzI15fjJxKamJqX3SJRKij44oUNEb5M6aynu79WepFWrVimmDKtXr27RhltCUVER11xzDZWVlXTr1o1x48axceNGunWTZ4M8/fTTaLVa5s6d22yYbIgQIdqP2+1m3bp1lJaWkpyczPjx4wMys6IrEmGMIG+TXKo1adKkk457RkYGpVXHRFJ1LtOZHogwOw3/+/5/AITXhNOjW492b29IvyFoPVrsLjtHjhyhR4/2b7Mz8mPhj0hIUAUXDPFPBcgHez7gi8wvwBQSSYFEZJHU/S/XcR0mTOjQKZkcf4skgRBJIGc3GhsblcyScFbT6XQ4HA5lWKzb7cZqtSqGAHGmOG5MuVFZ9Iv/JUnCYrEoZXtqIwvhxiaes3j+/jzRIrJWwvJ8gG4A6e50JR5RbuftgbLqfiThKihJEturtlPhqDjjY8tsZWyt2Mo53c6hoaFByUQaDAaMRiORkZGKfblw6BPHVLzOOp1OsQtvaalni0TSxIkTT3m5vbz//vtnvN1sNrNkyRKWLFnitX2GCBECsrKyWLhwIUXWInAA9ZCSksIzzzzDnDlzAh1el2DVKnnAprrUTpCRkcH3xfIcpZB5Q/tZc2gNmGBQ2CCvbM9gMJCSkkJBQQH5+fkhkXQa1hXIc6k4DKOv9a1pg0CZlRQTEkmBRG0DrtPpMJlMhBGm3B6Icjt1FkmU04neGJPJ1My5TvwuMhE2m03+8djYXrOdMVFjMJvNStZJZDCcTifh4eHKYFNJkjCbzc3mLYmZTCceL38hRJIot1OLVJfLRWNjo2KO4E3U/UiipFGv11NeXd6ix1c5qpTeIuGCJ6zahYDVarXN5iKJbKZ4voAizltCqEYgRIguRlZWFvPmzaOooQjuAm6Rry8uLmbevHlkZWUFNL7OzOvbXmfMy2NYsmkJ69evB5qbNggyMjKgAHrV92Jk0kh/h9np0K/RwzK4esjVXtmezWXDMdMBN0JOXo5XttkZWXtorXzhsO+d7QTqWUmHCw/7ZZ/BxqGaQ7yz852ADWuFkx3uxAJVIJzK/GnTrjZtUP/odDql/0iv1yvmX6K3RYgfnU7HeyXv8Y/8f/Bq6auKm5oQG8K5LjIyUimnE1k0YTGuFkmBMG0QaLVaZW6QknHBgcPl8JkNuLD1BjmTJMRljD6mRY9PDE/EYrEo2SOTyYRer1fKBkUZncjWiestFgvh4eGKqBXCuCWELJNChOhCuN1uFi5cKH/4DTx2ZQxgAckqn+VatGgRs2fPDpXe+YCvc79mS+kWhhiHYLPZSEpKYuDAgSfdLyMjA/bKXwrX/fu6AETaeaitrWXfxn0gwdVTvSOSTDoTFYkVoIUd+Tu8ss3OhtVpZXPJZgAiqiLo08c/fXXJkcnoNXpcOheHKg/5ZZ/BhCRJ/PrzX/PVwa/Yc3QP/5z6z4DFIsrKRKN8pbaS1Z7VGDFyrftaZaHsL8Si3+PxKPORRI+QWFiLga+irE696M6pzmFF+QoALki4QDGlUIsp4a4mhIfYnhCLTqdTyXAEyrRB7FNYgGs0GpawhKMc5Q7uIMOegdPp9Po+RX+W2n7daDQywDKAeH08la7KU8eKhkRLIucny34ERqMRq9WK2WxWbNaNRmOzMjuTyaQc0xNFqdvtJiws7JT7OpFQJilEiC7EunXrKCoqkn/prbrh2BxoSZIoLCxk3bp1fo+ts+ORPHyXf8yt85hz9JQpU0755ZiRkQHAgQMHAno2uDOwYcMGJEmiT58+XiuL02g0ytyXfUf2eWWbnQ2ry8qUsCmQA2P6jvHbIlCr0ZISmQJAmb0sILN4Asl7u9/jq4NfYdKZuHG470a2tAT10FSdToekk9jNbnLIUWYl+evzTW3aIEwjRP+QKL8SWRUh3sT/oqzrpeKXcEtuxsaPZVSEbGcvBE9TUxN6vV7JVojbtFqtkpURokqUIqod7wKByWQ6bqWNnOmroUYpZ/P2a6OeWSQMMgB0Gh03dL/hlI/RIN/nd4N/h9FgbJYBtFgsREVFKQ6COp2O8PBwYmJilJJHIVABRayLDFpLCImkECG6EKWlpcd/2ay6If4M9wvhFXYc2UFFUwURxghyVsslWqcqtQPo27cvADW1New4tAOby3dzKzo7T/7wJIyFUZO8O6OnZ1hPAPJr87263c5CnCWOvnl94V0YM3qMX/edHic3oUtRUpf7LBvafSjn9jyXP074IwMSBgQ0FrUNuNlsJl4vf9E00ECTvUnJ1vhDKKmzSKKPBVBc1gROp1Nx3RMZD7fbzTdl37C7fjcmrYk7+96piBu3201jY2MzESSyM+J/UWImHP/Uznbq3i1/IuIXBhUnzkoS/VjeQhxLoFk/mBCp50Wdx6VRl570uO6W7jw+6nEmJ01Gq9Uqr48QoIDyegl7cIvF0qzUUTjfqZ97SytlWl1uN2XKFLKyspoNeAV5ftIVV1yhNCOHCBEi+EhOTj7+Sy7wMzCGk0RSs/uF8Aor81YCMC5lHCs3ypdPZdoA8kT3lJQUiq4oYuSbI1l30zrG9Rrnt1g7C5Iksd6zHmZAn27eLffqG9eXbU3bKLOXeXW7nYktW+Shyf7qRxKkx6SzmtWKeYOYm9QVGJo4lB9v/hGP5L9en9NxosNdnDkOvVWPCxfV7upm5Wy+zqaoS608Ho8ifkB2PxPjbYQbndpcoLKpkteLXgfgln63kKBPwGg0YjablayIuvROiA9A6bsxGAyK8BAzegKZSRJCQWRVojk+K8lut3t9oKwQp6LUUWR+hMud2+1mSsQUojRR1OvqGddnHD2jezIoYhBaZEt18X5yu92K/bcomVT3VgnDDFE+qbYeh9a59rVavq5Zs+aU1nk2my1UohMiRJAzfvx4UlJSjl+xH1iDLJiQPzhTU1MZP358AKLr3KzMl4VRL1cvXC4X6enpZxyumZGRAcfmc+dW5fohws7HjpIdOI1OcML1k6736raHpAwBoE5X55P6/Y6My+Piy5wv2b5vOwCjRnk3i3c2Lu1/KSmHUqCg6zjc2V3HG9F1Wh0GnXedydqC6MMBuY9EvRgXZV2ByCSJmUjqGUViVpIQMU1NTYq5xFvFb1HjqqF3eG/mp8xHo9EQFhaGxWLBarUqa2LRiyRK7tSzlfR6vSIMjEajkqkC/5s2iH0KMWcwGJoNlBVOcd4cKCtEinALFMdflM5pNBoiiWRq5FTuSL+DS3tfyqi4Ueg0cuZNWHcLYWswGBRjBrPZrJhuiF4nceyFEBcZO3Gsve5ut3PnTnbu3AnA3r17ld937tzJtm3beO211+jZs2drj1uIECH8iE6n48EHH4TzgF7I4mgNUHD8g3rx4sUh0wYvY3PZ+P6wbOlt3ycvZk5XaifIyMiAY8PHc6tDIqktvLnuTQAMRwwMGTjEq9se3mu4fCGm6yzEW8q20m1c8t4l2O+wExEZQb9+/fy6/zkD5zDBMQEOdY3Xxuq0MuKlETy48kGsTitut5s1a9bw3nvvsWbNmhYPzvQ26uGqouxJiKRaanG73UqplK8R+xADY4VVtMfjUQwVhEiyWq2Ko51er+e8mPPoaenJ/YPuR3JJyjBYsehWixxR6iXE04lJBVFupy7BC1RPknhd9Hp9M5EkSZLXM0mi1E6SJJqamhTxKASrEFHCZEG8PjqdjoiICCRJwm6309jYKJcHRkURHR2tiCXhegc024Zw1FOLNPW8prPR4nK7ESNGKG+GU325WywWnnvuzBNzQ4QIEXg27tkIMwEJ+BfQJF+fkpLC4sWLQ3OSfECNrYYrM69k79G97HhZdkM7XamdICMjA3bLl0OzktrGtwe+BSDDkOH1hUjfOLlvDD3k5+f7zb2tIyBOCFAEo0eNDkjPhSix6woi6W9r/0Z2RTb19nqGVA/hoXsfOm7QQ2Bn4In+G7EgV4skIVh8jVgYiwWzuh9JLJbVcYhsk0ajwWazMSZmDG/3eBu9Vk9DQ4OS1WhqalIyT8KtTj1sVizg1VkMcV+1SAoEYj1vsVgwGo3EaGIA+XVxOp00NDQox8wbn51CgIosksDtdqPVatlSt4UyWxmjDaPpG9ZX6d8Sx62pqYnGxkbcbjdRUVHExcnGOSJbKYSu+F0IJvGaq98DgPd7kvLz8xWHoJ9++olu3boptxmNRrp37x46+xwiRJBTWlrKe5vfg8sgMyqTu/99N7/5w2+ISItgxw87iA2LDXSInZKkiCTenfsulZWVdPuN/Nk5efLkMz4mIyMDquXLoUxS6/FIHnLsOWCAqX3PLEjbwqBug5i2aRorv1xJ/siQeYMa9RDZUef5t9QO5IVRRI8I6AWHCzr3rKQdR3bwrx//BcD1cddzw4IbTiqREjPwli5d6nehJBatoiQqmmg0aLBjVwbK+jqTpO5HElkSdUZBDDUFiIiIoLGxEQCr3arMUdJr9c3KapuampQMiMgMNTU1Kds2Go1KhkNtBy4Ek7oELBAI4SP6qBIMCfRz9yOWWEVICqHXXkQmR5g0CGEkBKXL5WJl7Up22nYiGSXGW8Yr8bndbqVPzGazYTabiY6OVmZbicycyBQJIap+nidqE0mSWvy8WiySevfurTzZECFCdEyefvpp3GnymbP5I+dz7ahr+c3+39AQ28CG/A1cMviSAEfYuVmzZg2SJDF48GCSkpLOeN9m5XahnqRWs/PIThwGBzjgmpnXeH37Oq2Ofr37sZKV5OeHRJLAI3mOi6QCGP0b/5o2ALglN3+u/jPcDHnf5vl9//7C7XFz26e34ZbczMmcwzv3nXqArMgGBGIGntrhzmAwcCEXMp7x6NA1c4/zJWqRJDIaYkEthI/H4yEiIgKdTkdYWBiF1YX8YtMvmN1tNrN6zFIMBoSLnSgTE4t00WskhEVUVBSxsbFKJs3hcCiCUZSSBdL+G44PlNXpdMTqYrme65VjUV9f7zUb8BNNG4SgERk7p+Rkv30/AGNixyi9RW63WzHAEMfdaDQSGxurvGeEMYPITglHwTPRGnHapmGyBw4cYPXq1ZSXl58kmh555JG2bDJEiBA+prq6mhf+7wX4jfz7zH4ziY6OxtRgwh5rZ/2+9SGR5AMaHA0cqjnE4G6DFffPs/UjAXL5Vo18udJaSY2thhhzjO8C7WR8t/07cIGuWMc5o87xyT7S02Wr6ZBIOs6+o/uoslaBAyj1v7MdgF6rJ9GSSKm1lKL6orM/oIPy3E/PsblkM9GmaK6NuZasoqzT3lc9A2/SpEl+i1GcyRclUeHGcKXcTfSYiHIoXwkGsdAX5V5wvEdGbd5gMBiw2Ww0NTXx1M6nKLOXsbJyJVemXqmU5oWFhWE0yjOFhBmFyWRSemLsdjsGg4HY2FhlPpSwrhaX1WVsgRRJ4rURRhPCLU5kkrw1Y0xkkYQRhtANou9rf9N+7JKdaG00g+MHK5kmEaMYHisMM4RToIhfLZC8fQKg1SLplVde4de//jUJCQkkJSU1e4E1Gk1IJIUIEaQsWbKExphGsECsOZZze54LQDdtN4ooYkfhjgBH2Dn5+uDXzPtoHhN7T+TId0eAlokks9lMWnIah7Ye4rorr8PtCUzzdUfFnGeGx2HsRWOblV94k9yYXLgRNjVs8sn2OyJKFqkIws3hymBkf5MWm0aptZRqqRq73a6cke4sHK45zB9X/RGAJ6c/iSPnZNfhU+HvuVHq3pIT59WIGUO+rlBSmzYIQwJhGiBKuHQ6neLqtunIJr468hUaNPy616+xmCy4XC4sFguRkZGYTCYcDgc6nQ6LxaK4r3k8Hsxms9KzpJ6FJPYpepfEsQmkSAIUG3ARi12SjYXURhbtQT2sV4gikfkRWbxd1l0ADLEMUZz/XC4XERERmM1mQHbQFoYN6iyS2kLeFxnSVhdDPvroo/zjH//gyJEjbN++nW3btik/W7du9XqAIUKEaD9NTU0888wzcMxkakbfGei08gdKWlQaAAeqDwQous6NmI/UN6Iv+/fvR6vVtvhMbkZGBnwCU6WpxIfFn/0BIRTWrVsHLph+3nSf7cMeZod0KKVrDSw9E4ppw2EYOXJkwHqVMxKOibNompkYdBZ2lsluw+N7jefWUbe2eLadv2fgCZGkZJQMepaylNd4jTpnnZKx8JUNuLr3yOPxKG566pIvrVaLxWKRsyh4WHxgMQDTYqcxKGoQRqMRvV6vlKaJ2UdCXJnNZqWkUNhSq0u6RJkfyEYWapEUSET2TDy/pZ6l/JN/so1tSk9Se18XcYwBpYROiCW73Y5Op2Nnk/xeHhU9CqPRqAhqcbzFa2YymZTyuhMH9QpR6m1a/QpVV1czf/58rwcSIkQI3/Hqq69SUVGBJcMCwMX9LlZuG9ZjGABHHEcCEltn59s82WEtulJ2dRo1atRJw7hPhzgLf+BASMC2Bo/Ho8zt8+XML2EDbjVZaWpq8tl+OhKPTHyESU2TYF9gSu0EvWPkPurOatF++YDL2fvbvbxxxRtoNVrGjx9/xj7HQM3AE+JB9PpYzBbyyaeQQqo9zQfK+gL1fCRRbieEk3Cwg+NGBh8VfkReQx5Ruiiu7nY1FotFETgGg0ERVyJ7JDIwarMGtbOayGKL7Ifa/jvQWSQh5ESGz4K8PqhDnv0m3Pvag3oWksPhUESpEMZVjiqKnEVo0DAmbkwzW3W1sYZw4jMYDEp/kohN9Hn5glZvdf78+XzzzTe+iCVEiBA+wOFw8O9//xuAf4/4N5tu3cSsAbOU28/vfz4ADcaGoJjS3pnIr84ntzoXnUZH2aYy4OzW32oyMjJAA9vztpNTmeOrMDsdf/nqL5TMLkF3ro5zzz3XZ/sZ0vPY7KVYOHTokM/205HITMjE9aMLyv0/RFZNWkyafCGmc4okgF7RvegTK1vP22w2pVfmRAI9A08tlPR6fbOBsna73acDZcV21eVdYtEtzBRA/p4sbijmhb0vAHB94vXEWeKU8jgRv5jBI8rARCmhmDck/lf39xgMBkUcqAeiBtoRWm0DrrZnr6MOj8ej2KK357URx0Bk8YQ4FaI1tykXLVp6G3rTI7qHIoLEnCMhkkTGSxxDtYV6W45jS59Tiwq1n332WeVyv379+NOf/sTGjRsZOnToSTZ6d999dyvCDBEihK959913KSwsJDExkZtvuln5cBdMGDYBNoGkl8ityCWjW2B6CDoj3+V/B8D5Keez/rX1QMv6kQQZGRkwBL4c+CVNnzax5pdrfBFmp+OzPZ9BIvTs25OwsDCf7UcsUImBvLw8Bg0a5LN9dRTcbjfbtm0DApxJij6eSSooKAhYHN7mkdWPMKH3BKb1maZcJ0kSv/rVrygoKCA6OpqwsLBmvUeBnIEnshXqeTbRRFNCiTKTR9hm+wJ1Jslul/tthEhxuVyghZ11O7FZbeTU5GB32xkYNpAJ0ROIiIhQTBeE+BHPSfTO6PV6JROjzmgIcwH1wFp1hgQCX24Hx0vu9Ho9sbpYcMuzkoSbHxx3R2wtalc7UWInXAFF6d1Q81D+3e3f2E12pRRRiE7xOGjeO6V2BmxLv6nok2oJLdr6008/3ez3iIgI1q5dy9q1a5tdr9FoQiIpRIggwuPx8MQTTwBwzz33nCSQAHql9sK4zoijxkHVFVXQ7aS7hGgjoh9pVMwofij4QbbAvfDCFj8+NCup9bg9bvY07AEtTOg1waf76hXdSx7KbIAdeTu4jMt8ur9g57Wtr1FcWkyjppGwsDAyMzMDFsugboO4wHMBG37YQOG5nSOTtCp/FX///u9o0LD/zv1kxMsntF588UXefvttdDodK1asYNy4caxbt47S0lKSk5MZP358QLMW4my/yASoB8o6HA6l58QXiO2qMxkii/Fj9Y+8WvQqFc4K5f4x+hjOizwPi9milNN5PB7F3ltki9Szj4TIUNtPC3FotVqbObHBcdERDOV2Go0Gk8mEyWRSRFIddbjdbpqamnC73W2elXQq629RuiiyeS6Xi3B9OKnRqUq/kRA+QsyIkkBxu9vtVvqoWnsMhSmEVzNJIXvTECE6JitWrCA7O5uo6CjejXqXA58c4IlpTzQzAdBoNAxrHMbPO36mOLcYhgcw4E6ER/IomSRziSxOL7jgAsLDw1u8jfT0dLS1Wjx4KKorwuq0YjFYfBJvZ2H7ke04tA6wwdyxc326L4POQKQUSb2mnt1Fu326r47AEz88wYGqA9ADRiSMCOjCPDkymZtSbmLDtg0UJnd8kWR1WrnjszsA+NWYXykCaePGjSxatAiAJ554gokTJwL41eb7bAjBIASGWiQ5nU4l4+Jt1KYNkiRhtVqVxfGq0lU8nv/4SY+pcdXwRtkb9IrtxSW6S5oZBggzA5FhEnOG1LOgxH5FeZ8QAyLjFEzOdkIkiVK2GE0McKwnyeWkoaGhXf1i4tir51OJvjD1vCSRJRI9X+ryRPHeEa+B+ni2NhMnxBq0PIsX+FxfiBAhfIIkSTz22GMAzL1zLjvLd/Lhng+JMkWddN+BAwcCkJ2d7dcYOzOSJPHOnHd44MIHOLT+ENC6UjuQSzbSuqeB7FpLfk3ohNXZ+HT3p/KFAhh/oe+b1JOMSVAPBWWdp6SrLRxpOCILJAkoCGw/kiA1NRXoHD1Jf//+7xysOkiPyB48NlX+XC8vL2fevHk4nU7mzZvHvffeG+AoT40QSMLYQCzGa6ltluHxdsmduh9JlHfZ7XY8eHgx/8UzPvbF/BeRNFKz/iO32630JImMh3o2j8iMOBwOxbVPuLQJMSViCrRAEogMl9FoJFYfC4AHDw1SQ7ucB0XGTu0qKK4T2aTPaj7jiaon2ObYhsUin/wTYlPMpQIUB0Eh2ERpY2sQ5X5iHy19fKuL+U73R6jRaDCbzfTr14/Zs2cTFxfX2k2HCBHCi6xatYrNmzdjNpvpfmF3+Amm9ZmGQXdy6jxtQBqkw8qClfyBP/g/2E6ITqtjRt8ZTEufRtK1sutUa0wbBP0z+pNXnQfJkFuVy6Buob6XM/HZ7s8ASLQmEh/ve9v0J4c+yZWzr8Q60urzfQUz6wvknrvwxnAabY0B7UcShHUPg1R5plBHZmfZTv71478AWHLJEqLN0bhcLq655hqKi4sZMGAA//3vf4Nm4X0i6llJBoOBeF08GpcGCbmcqrGxsdmAVW8hFvdCHIE8/2dn3c5mJXan4qj9KFuObmFsj7EYjUbq6urQarWEh4djMBiaOd6JfQlBIRbjoiRM9DWpLasDbdogEOV2BoMBvVbPUIZiwIBH8mCz2RQ3wNaiHhgrxJLIIAnjhu3W7RxyHsKuka3ARe+WKKcT7weR6RLbbO3MMyGQAUVgtfR91mqRJOYhud1uBgwYAEBOTg46nY7MzExeeOEFfve737F+/fpQE2uIEAFEZJFuvfVW1pfKCxi19bcaXaoOboQfG3/0W3xdhT179nD06FHCwsLa5LSWkZHBV0e+gmQ4WHXQBxF2HlweF7vqdoEGxvUc55d99usjDx/r6mXpYj6S44A81DQYRNLzB56HW6DumzoaGhqIiIgIdEitxu1xc9unt+HyuLgy80quyLwCgD/96U+sWrWK8PBwsrKyiIyMDGygZ0BkK0SWIEWXwp9cf0KLVlk8+2JWklokqUv6yq3lLXp8lbNKGTLrcrkwmUxER8ulgmKhrc5uAEr5mMhWiOsNBgMajUZxjAsG0wY4XgoZERGBRqNhLsdLlO12uyIGW4vo+xKiSF1e53a7aXQ3ku+QPzPPiTtHKbETIkYtmIVAEiK7NQJTLZDUr0dLafWrNHv2bKZNm0ZJSQlbtmxhy5YtFBUVMX36dOWsxoQJE7jnnntau+kQIUJ4ic2bN/Pdd9+h1+u57a7b2FC0AYCL+l50yvtPHCzXsdstdhyulk1uD3F6bC4b9397P18f/JqV38nmDePHjz+tRe+ZCJk3tJw6ex2RRZFQBlecf4Vf9pmWlgZATU0NNTU1ftlnMLKuQJ5L5TzgxGw2KyW8gUQZKBvTcUvuPsv5jJ+KfyLKFMXzlzwPwPLly3n8cbmf5r///W/Qn5AWC3GdTofFYiE8LBwtx623hbudt0WSMA2QJAmbzaaIpEhaJih7RPbA4/FQW1uLVqslMjKyWXZIo9Fgs9kUcwEhlkRJnnpBru5XUg+aDQbUFuZqROlgW8vtTuxHEiLJ5XKxp2kPHjwk6ZNIjUxVhKU4NuJ1E/1K4vqWmkgIgdYegQRtEEn/+te/+Pvf/05U1PG+hujoaP7yl7/w5JNPEhYWxiOPPMKWLVtaHUyIzo3b7WbNmjW89957rFmzRnnzhvA+Iot07bXXst+5H4/kYWDCwOMDFk/ggiEXgAPQwsb9G/0Yaefkx8If+deP/+KmFTexatUqoG2ldnBMJOVBfHY8l2Zc6s0wOx1Gt5GaN2rgRZgw3rfOdoJyZzmGWwxwU9fNJpXWl7LjyA75lwIYPnx4m6x5vY16oGxHtQGfNWAWH83/iCWXLKFHZA8OHDjAjTfeCMCiRYu46qqrAhxhyxDZJIPB0GyhK0kSTU1NPpmVpF6oix+AgeEDiTecuRQ30ZLI6G6jsdls2Gw2TCaTkm0RLncimyQW9WKRr3a/UyMW/sFUFilMEISpBoAdO4004na722TPLp6nyLI5HI5mA2UlSWKXdRcAQy1DlSwbNDe0OFG8tdSsQQgkYRXe2uyTmlaLpNraWsrLT05VHj16lLq6OgBiYmJwOEJno0McJysri7S0NCZPnsy1117L5MmTSUtLIysrK9ChdTr27dvHsmXLAHjggQf46uBXwOlL7UCu8TU1ynW+6/as832QnRxh/T0lfQrfr5XLkFpr2iAQIqlxeeNpM4EhZDZu3Ijb7aZXr1706tXLL/sMM4ThTHVCKhzIO+CXfQYbO8t2Em4MJ9mdDA3BUWoHqoGy0R03k6TRaJg3aB7XD7uexsZG5syZQ11dHePGjePJJ58MdHgtQp1JEjbg3/M9r/Ea2WQ3yyZ5C5E1OnE2j8vlQouW21JuO328aPjDyD+AR368MF/Q6XTKAFrxXISwEGVd6gX/iaj7roJFKIk4xPP7SfMTj/EYX/IlDoeDpqYmoHUDZdXHXvRqieMjLu+x7QFgVNQoxQhDlCiqM22i9E4IpLOJJCGQxHFuiwuemjaV2918880sW7aMoqIiioqKWLZsGbfccgtXXHEFAD/99BP9+/dvc1AhOhdZWVnMmzePoqKiZtcXFxczb968kFDyMuKL84orrmDQoEH0jevLwISBZxRJAPHIZ9a2HA5lgduLEEl96UtdXR0xMTGMGDGiTdvq3bs3er0em8120t9QiOM43U4+XPchaOTSRn+RGJ6IzqMDLWzL2+a3/QYTF/W7iF2/3kXqVtlNLhic7UAlkmKgoLBjZZI2FG6goum4uYAkSdxxxx3s3r2bpKQkPvzwwzbPrwkE6r4kg8FAFVUUUshRjiplUd4USScOkRX2z8JhbWzsWM6POf+kx3U3dWfx2MVM7TFVMVsQmSFhyGAymZrNHBTDZHU63Rl7q9TOdsEkktQZmyitXCVWR12zQb9tEUlqYao2bDjiPkKVpwo9eobHDG+WiVMbYYjMo1o8nW2/aoF0uoxea2h1Pvyll17innvu4eqrr1YauvR6PTfeeKMydDYzM5NXX321XYGF6By43W4WLlx4yj8w8UZetGgRs2fPDhq3l45MQUEBb7/9NgAPPvggAH8Y/wf+MP4PZ/2Q6x3ZmxJKyKnI8XmcnZlqazU/l/wMgCNbzqhPnjy5ze9vvV5Pnz59yCnN4eOfP+bm7jcTbY72WrydhZ9LfuYV7StwJ4wb5B/TBpAXGTHEUEkle0v2+m2/wUbv6N7sX78fCJ5MUq/oY9lEExws7DimJ9XWaq784ErckpuVv1jJ8KThvPDCC7zzzjvodDo+/PBDkpOTAx1mqxDZF71eLxsgnDBQVsww8lY52qlMG9QucyAbMwDMTZhLv+h+9I7vzblJ52LUG7Hb7UrWSMxFUpduiXk9YoaPsP8WPTenWtSLMrRg6kcClOdlNpubDZR1uVw0NTW1aoaVejaVyBypRbDL5cLpcjLKNEru8zJHotFokCSpWRZOLZJEud2ZjtuJM5DaMmj2VLT6lYqIiOCVV16hsrKSbdu2sW3bNiorK3n55ZeVIYkjRoxo81nTEJ2LdevWnfHstyRJFBYWsm5dqMTLG/znP//B5XIxefJkzjvvvGa3ne0DY3DSYABK7CU+i68rsPrQaiQkBnUbxM+rZbHU1lI7Qf/+/eEGuHfXvWwu2eyNMDsd3+XKg3sp828mCaCHpQeAbNXeRZAkiYVfLuS7PPm45+XlUVtbi8lkYvDgwQGOTsasNxOtkxfjuRUdx/Tk99/+nrLGMrqFdSMzIZMNGzYoZlhPPvmk39/f3kBkkoTdtHpWktPpVBa43somqWf02Gw2pdxL7Ub3xIAneKjHQ1wefzkXp1zM6PjR6LV6XC6Xkn0ymUzo9XrCwsIwmUx4PB6lnUTYZ6vd7ITN94k9VmoBGAyDZAUiHmFIEa2R/17EQFlx7Fr6uqitv9X9SOL1cLlcJOuSuT32du5MvBOTyYTb7VaEmtpeXd0nBacXSaeageSt49tmORsREcGwYcMYNmxYh7TVDOEfSktLj/9iAn4LXH2W+4VoE0ePHuWVV14B4KGHHgJgS8kW7C57ix5/yaBLYAVoVwfXWa6Oxre53wIwqdck1q+XrdfbatogaOZwV9VxFnv+RAyRDSsP87uzWp/YPgCUWrvO59iHez7k2Z+eZeY7MymoLuDNN98EZLe/YDpTfkPaDfA5VB6qDHQoLWLNoTW8tu01AF6+/GVqq2qZP3++MjC2ozoHC5EksklqkSRc1ESmxRuo3c1EqdeJPUEaj4ZBlkGE68OxWCyKKYMoMRNDYMPDwzGbzcoMH2EIIAwPBKJcTGRG1EIpGE0b1IhZRHEGecapBw/1nnrFva+1IkkYJwjBKF5jtW262Wxu1nskRKgkSRiNRsxms/JanU5YinI+QMk8efMYt6jcbs6cObzxxhtERUUxZ86cM9431F8SQk2zkoAhQLdjP0ZkN7VT3S9Em3j22WexWq2MHj2aadOmUW+v54LXLsCgM5B7dy5JEUlnfPyUUVNgG1RSSW1trTIPIkTr2FUuu/b0tPXEZrORlJREZmZmu7aZkZEB++TLoVlJJ+NwO9hWKfcDndv9XL8v0gf1GMSKIyuo0dQE9ULIW5Q3lvPbL34LwJUJV3LhsAuVioH9+/eTlpbGM888c9b1gj+4+/y7ee4Xz1EaVhr0r43VaeX2T28H4Fejf8X5Pc5nxowZFBcXk5mZGdQDY8+GWOiKxXCsNhY8skjyeDzU19d7TSSpsxkig6TuRxKDS8XMIjGHR4gfkAWPxWJRjCb0er2yXbUpwImvh8iIiP0JJ7xgNG0QCAEbGRmJTqMjkkjqqVdKIe12e4tfF7UoFO54Qlg6HA7KHeVYXVZSw1IVUSQEml6vx2q1NrNQF1m/U32mt3cGUkto0TdJdHS08qJGR0ef8SdECDXjx48nJSVFfv+oRxMcc9/UaDSkpqZ2yPKBYKKuro7nn5dnaDz00ENoNBpWH1qN0+MkOSL5rAIJ5L9tIVazs7N9Gm9nZt1N69j9693U7qgF5FK79n4pZmRkgFw+H5qVdAo2F2/GiRMaYeaYmX7f/8j0kdAAbqubsrIyv+/fn0iSxG8+/w2V1kp6m3vz4V0fBrUpT0pKCgBNTU1UVVUFOJoz8+j3j3Kg6gDJEck8Pu1x/vjHP7J69WoiIiKCfmDs2RDiQK/XYzabidfLiwA7dprcTUrmwRsiSd2PZLfblW2LBbXVZeW3u3/L60dex4Wr2SBTALPZrJQFqmf3AEqG40xmBmrTANGHIwRWMIskIUyiOG7eIEROS1BbfwuBKsrtRC/YyvqV/K36byytX6qU2mm1WsLDw5XHiveIOH4nzpXy1gykltCiTNLrr79+ysshQpwNnU7HM888w9y5c2ENMBg5k5QAmiPyB8XixYtDpg3t5KWXXqKmpoYBAwZw5ZVXArTI+vtEep7Tk9LiUr7d+e1JPU0hWoZGo2Fw98GsX+WdUjtoXm53oKpr2kyfiVX58iwqDsGEOf6Zj6Rm3uB5pH6QSmFhIfkP5pOUdPaTEh2Vj/Z+xMf7Pkav1WN9zwqnWD8FkymPQ+MgZmgMNXU1FBYWEh9/5vk4gWJX2S6e/FF2Jn3+kudZ9eUqnnjiCUAeGBsMw3nbixBJOp2OSHMk4bZw9Oiptle3uvflTIiMkcvlUhb5YmENsLtxN4dth2lwNXBj9xub2UwLYwVRMnfiPCRRLiiEj9vtPuX7WzxXtUASWZFgQ92XpNVqGcAAEkkkkkjlGLbkdVFn8MSxUc+ncjgc7LXL5jYZ5gxlv2Lfdrv9JGt1pTRSZejgTYvvsxE8hcMhOi1z5sw53sgrXFgT5DN8S5cuDYqSjI6MzWbjqaeeAuS5SOLsy5cHvwRaJ5JqB9XC5bDy8EqfxNpVqK+v56effgLab9oAkJqaiqFB/tLIq8rz+tDFjs4Xe78AwFBsCIj9tEajIT09HejcA2XVZXbXpl5L+Y6TZyYKgsWUZ33Bemrm1sDFwT0rKSUqhZtG3MSVmVcyRDdEGRh7zz33MH/+/ABH137UIsNkMmE0Gvkdv+Me7iGWWBoaGhQR015E9kadcRDmAJIksbV+KwDDw4Y3M5QQWQ2g2QBTnU7XzMJcLOTVjnane84n2lAHYyYJjvdTGY1GJmomMotZpJCimFi0RiSJYyKySEJoVTgrKHWXokHDyJiRStbIYrGg1WoVV0DRi3RiFsnfAgnaIJLKysr4xS9+QY8ePZQ3j/onRIgTqaysZO9++ezBzHPkUhhdoo68vLyQQPICb775JkeOHCElJYXrrrsOgJzKHA7VHMKoMzI5bXKLt9Uvth8A+XWdd6HnKzyShyEvDOHaj6/ls1Wf4XK56NOnD2lpae3etlarpW98X/BAk6uJssbOXdLVWi50XQhrYXT0aIxGY0Bi6Aoi6e2db1PRVMHQ7kOZZpzWoscE2pSnd3Rv+UJMcIukWEssL1/+Mq9f8jpz586lvr6ecePGKdmkzoA6k6TX69GqlqBOpxOHw9HqmTynQu2kpt6myHBsrpEdQoeahirZE3FyUb0gF7EKUwegWdmdWPOeLQMmbKyF8Ao2kaQ2oVBbbgMtHigrjrHo7RLiSggmp9OpZJH6GPuQEJ6Ax+NBr9cTERGhCDGDwYDJZFK2KUSpL2YgtYRWz0n65S9/SUFBAX/6059ITk4Ouhc7RPDx6aefIt0uEa4J59rLr+Wr+7/CfViu3e/Zs2egw+vQuFwuZXjsfffdpywQRandhN4TCDeGt3h7I1JH8GXOlxx1H/V+sJ2cnWU72XN0D4drD5NYmQh4J4skGNB3ANlrsllw+QLMevPZH9CFOLLpCKyGGY/MCFgMe9P3wt2wtnQtD/NwwOLwJfecfw89I3uSEZ9B3f66Fj0m0KY8vWOOiSQLHCgMvlLVRkcjYYYw5cz5b371mw47MPZsiGyMupxKYLfblbKs9hhsqEu+HA6HUm4nMknFjmLKHeUYNAYGhw3GbDZjNpuV20Wcwt5buNrZ7fZmt6mFlVjAn8lZTafTKWV/wbZuFs9JLVDs2LFiJdwdjs1mO6s7nzju6r4kh8OhuBa6XC52WWVTo6FhQ5XjJ/qg7HY7Go2GsLAwxSRDZPbUpZLetvg+G60WSevXr2fdunWhOUghWszbX74Ng8AqWZk1cBYDCgeQnZPNnj17QiKpnSxdupTc3Fzi4+O59dZbleu/yj3Wj9S35aV2AOMGjoMcsIZZcTgcATsr3xFRrL/TJrH2o7WAd0VSRkYG/BsSRyQSY47x2nY7A6Kka9w4/w2RPYlj5yIO5R4KXAw+RqPRsGDIAgBc3VyEhYUpZ5lPdd+UlJSAm/JEGCMII4wmmsgpC65B2ZIkcc3H1+BwO3jpspf49O1PeffddzvswNizIUSSXq/HaDSSQw7rWEdPenKd4zpFiLQnkyQyGuoFujBlsNvtbKnfAkCmKROL3qIYBLjdbkwmU7NMhZiRpBYIYnEv0Ov1SobD5XKdUdQGc5m0OjtTSCH/x/8RQwwPuB5QMkJnWg+oxakQSMIww+Vy4Zbc7HfKw6aHhw8HZOEYERGhZPiE5bper8dmsylCSC2Q/H3SoNW5qtTU1KB+oUMEF42NjawtlReM53Q/hyhTlNKftHdv151O7w0kSeLxxx8H4O6771aGOQM8Oe1JHp/6OLMzZ7dqmxdmXihfiIAd2Tu8FmtXYGW+3Md1QeIFbN++HfCBSAIOHAi+s+GB5G9f/Y0CSwFas5YLLrggYHH0i5dLVcscna8U8vmfnqeiqaLZdS+88MIZBRIEjylPoknO7B6uORzgSJqzdO9SPs35lFX5q1j/03plBtK//vWvgItLX6A2CDAajbg0LgoppISSZgNc24O65KuxsbGZgYBGo+HnOnnA9zDLsGYiSC2mTCYTYWFhSpZDZLiEODqxx0iUpwlBcLq41I8JJtSvi8FgIFYXCxxzt7PbsFqtioA9HeqSRrX1unhd8x35WCUrYZowBkYNVOZQiV4kgPDwcCWTpR4GDMdnIPmbVoukxYsX8+CDD3Lo0CEfhBOis/H111/j6iP/AVw9Sp4i22tQL0iHjdkbAxlah+fLL79kx44dREREcOeddza7bWjiUB4Y9wD94vq1apvR5mj0NvkDf+2utV6LtbNjc9lYd1jOZoSVhiFJEoMHDyYxMdFr+8jIyAAT7KzZqeyrq2Nz2Xj0p0fhGhh03qCADjYfljoMgDpd3WkXSh2RpXuXcteXdzH8/4bT6GgE5IqS3/3udwDcdNNNis22INhMeXpF9QKg1BY8w36rrdXc9eVdANw18i7uv+l+XC4XV111FYsWLQpscD5CLMZFGVusVl6M11KL0+lsUe/L2RAZHZHNECVuYtHd29SbOF0cQ81DsVgsGAwGXC5XM0MGsXgX14l41KV2akQJGNDMze3EuMQ2ghVhohCrl18XDx4aaFD6hU73uohMm9rFz2q1KoNenU4nyZpk7oi4gwVxCzDoDUo5o3p2VXh4uOIIeGJ5nbpPyp+0eq8LFiygqamJvn37KkpbTbDPIQjhXz785EOQv5+4vP/lAGyI2QA3wsb9IZHUHh577DEA7rjjDuLi4ry23TgpjnLK2Zy/2Wvb7OxsKNyA1WUlOSKZ/T/IJQXesP5Wk5GRAX2g+KJi7vvmPjbdtsmr2++IbCjcgFNyQj1MG9UyIwFfMaL3CPgBiIGioiKvGHYEmoqmCn7z+W8AuHnEzYQbwyktLWX+/Pm4XC6uvvpqXnvtNTweD+vWraO0tJTk5GTGjx8fFBkkQUb3DNYeXUuNVIPH4/H7sOFTcf+391PWWMaA+AH8/NTPlJSUMHDgQF599dWgXki3F3XJWqw2FtxyxsLtcXtlVpLoD3I6nUovjRBIBoOBG7vfyJXmK5WsiUajUVzWwsPDFRMysTBXL/5PLLVTI8SUyJ6cSkyJ5x+MiFJIs9mMXqtXBsqKWUlnsgE/sR9JZI9sNhtwzARD0jPUPFTRDaJ0ThhkhIeHK46B4nUTJhKB/CxptUhavHixD8II0RlxOp18uu9TSIfeYb3pG9cXgOE9h7MxeyMljpKgbGLsCKxfv57169djNBq59957m9123zf3MTJpJFcOvJIwQ1irtz0rYhavvvYqmomh16WlrMyTS+2m9ZnG6ldWA94ttQPo0aMHpkYTduzkVAZXb0WgWHNojXzhEIy/NrDlSeLzjRjIy8vrFCLpri/v4mjTUYZ0H8IfJ/wRh8PB/PnzOXLkCEOGDFEW9DqdjkmTJgU63NNy/ejree1fr+Ep9FBWVhbQXh+3281znz7HqzteBWBk4UjeX/1+pxgYezZEJsZsNhMeHk6sIRatU4sHD1XOKhobGxUDhLYgFvFikS7KtYTQ0Wq1OBwOJZtlsViUIadCNIkZScJe+mxZJDVqUSX6k9TzfcR2ghHx/IRrXxRRikgSmZ2WiCT1bCq1aHK73RiNRuUYCUEEsvgMCwtTXOxEJt5isQT8ZEurRZLw7g8R4mx8//33NKXI6fP5w4/PeRjbfywvZb+EM8pJaWkpPXr0CFSIHRaRRbrxxhubHb/86nz+s+E/6DQ6Lut/GbThu2bmoJm8euhVchNyvRVupyc1OpUxPcYwJnYMb+1/C61Wy8SJE726D2EDvpe91NhrqLXVEm2O9uo+OhrfHpTNMsgPsGkDx1zUJMAIO3N3el0k+5usfVm8v/t9dBodr89+HZPexMKFC/nhhx+IiooiKyurWR9kMDMxfSI9intQXFpMYWFhwERSVlYWdy+6m+LZxZAA/Azvf/Y+AK+//jqZmZkBictfqBfFer0ek9FEVFMUNdRQ6a6kvr5eWYy35QSq2n7aarU2m6vj9rjZVbOLRGciGo6XeokFu8lkahafmImk7kc6m0iC0xs5BHsvvxCGwsgiiiiKKaaOOsUl8FScaK8ujrkwznC5XOyz72N3027O0Z7DmLAxijudEMxms1kpcRQZq0BnkASBzzmH6LQsW7YMDkCqNZU5A4/Xpg9NGipfSIA9e/YEKLqOy44dO/jiiy/QarXcf//9zW4T1t9jU8e2eQEtJrtnZ2cH/Qd7sPCrMb9i822biS2Ua7lHjx5NTEyM1/eTmZ4JDfLl3OquLWKbnE1sLpVLQtM16XTv3j2g8Rh1RhKcCVAEBwo6trlGRVMFv/781wA8cOEDjOkxhnfffZdnn30WgLfeeksxEukopKamAoGblZSVlcW8efMothaDEWgCVDO7g6EE0B+IzKMYXBqN/D0l+pLa08+nXqxbrVbFVt3lcnHIcYg/HfoTDx15CJ1epzi1qbNKQgQJw4aWltqd+PxEBkmdFQn2TBKglBmaTCZiNcf7xYTgOVVfkroPSfxutVqVIb42m41NTZv4zv4dWx1bFbEp9iXeB+LYOhwOgGazqQJJ1/irDOF3PB4Py5cvh13w4vgXuSD1uOtU//j+8oVw+Gn3T4EJsAMjhgvOnz+ffv2aGzMI6++Z/Wa2efvJvZLRjNLQcE4DxcXFbQ+0C7Jq1SrA+6V2goyMDKiWLx+sOuiTfXQUfiz8EZfkglqYMjI4sjb3Rd0Hr0Jtfm2gQ2kXf1nzF8obyxncbTCPTHyEnTt3KiMGHn74YWbNmhXgCFuHJEmEDQiDIZBb4P+TC263m4ULF8oLyQrgaeAl4NjJeY1Gw6JFi07Z8N/ZUM9KMhqNxBJLNNF48GCz2U4SFa1BCCL1fCSQy++2NWwDoLehNwb98XlAosRMXf4lyu7UoqAlWST1czydkUMwLPxPhXh+QsD21vRmNKNJJVURO6dyHjyxH8npdGK323E4HIpQ3OfYB8CwsGHKcRXZO2EHr9PpFGElnPaCgcDYRYTo9GzZsoXi4mIiIiJOamAPN4YTJUVRp6ljU26o+bw15Obm8sEHHwDw4IMPNrvN4XbwXd53AFzcr3XzkdSYjCakWfIXw8ZdG5mXMq/N2+oK7D26l17RvQg3hPPdd/Lx95VI6t+/P+QAqZBb1bUzST8VHzvBcgjGzw4Ou+T09HQA8vPzAxxJ+3h0yqPYXDbuGH0H1gYrc+bMwWq1ctFFF/HXv/410OG1Go1Gww9pP0A67Cnxf/XCunXrKCoqOn6FBKh0tCRJFBYWsm7duqDu7fIGJ2YRZjMbDbJwEPN4oG0iyePxNCsNE0YQWq2WrQ1bgePW32L7Ig6x2BdlXmqBJLJIrcn2iZJC4fAWrOJIcKI9+1D9UAY4BgAofUYul+ukMki15broXRJCyePxUGgvpFaqxYCBwRGDlUySKLETRhlarZbGRtk902w2B83xCmWSQviEZcuWwXCYMGsCZrP5pNt7h8tT0PeV7/N3aB2af/3rX3g8HmbOnHnSQOcfCn6g0dlIYngiw5OGt3kfFoMFi8MCwI/ZP7Yn3C7B7PdnE/dEHB9s+IDCwkIMBoPP+mMyMjLgmIFoVy63c7vdjGwYiXaJFr6HsWPHBjok4LhIysvPC3Ak7SPGHMOrs15ldPJofvGLX5Cbm0taWhrvvPNOUPQJtIV4XTwAeZX+f21KS49ZjxuAM6z9lPt1YkQvinCP02qOL0NFLwu0XiSph8iKBbrIKtW4asizya/7MMuwZotwi8WiZDJEqZwwFzhRJLUWIQDUzydYFv8nIsTrqXqvhEg60XnwROtvj8dDU1OT0ovk8XjY2bQTgP7G/kSYI5RjaTKZlOMuer+EFfup1oyBolWvutPpRK/Xs3v3bl/FE6KT8MG3H8CV8HX/r6m31590+y1Db4FPoHxzeajvpYWUlpby+uuvA/DQQw+ddPuXB78E5CyS+ounLXTXyf0dO4pCA2XPxKGaQxysOohH8lC2Ux4iesEFFxAW1npXwZaQkZEBOaD5QsNNw27yyT6CnaysLNLS0rjkkkvwHPVApZy5y8rKCnRoFOgL4G44MvUIVqs10OG0mjWH1jT7PH700Uf57LPPMJlMfPzxx8THxwcwuvbRM7wnAEUNRWe5p/dRjCLGAvcB557lfp0csRC2WCzNFuMOh0MxXGjtukBkM8S8JdGfBLCjUf4e66XvRbwpXnGuExkts9mMx+Np1k/U1lK7ExH7EgSrSAKVocaxMjg7do5yFLtDLp870eHuxFI7IVJF2ZzD4WCvYy8AQyxDlN4jYQOutvgWw2rV/UnBQKsiMRgM9OrVq0vUzYZoO9nZ2eTp5bM2F6ZeSKTpZEvTOybdgXa7lrpDdRw5csTfIXZInn76aRwOB2PHjj1lpqKgtgBoX6mdoG+MbGecW9N1sxUtQZQ3npdyHj+ulrNu3p6PpCYxMZGI+giknyTirN6bjdVREM3vRZ7mC93i4mLmzZsXcKHUPa47xAHxcPjw4YDG0lpWZK9g8v8mM+v9WXgkD19++SV/+ctfAHjxxRcZNWpUYANsJ33i+wBQ4azw+77Hjx8vD9wdAIQDjua3azQaUlNTGT8+OMpGfYm678dgMFBPPa/xGi/wAh6Ph8bGxjaJJLWrmsggibXqtka5H2moeaiSvQC5rEttsiCyW2ozAnWGpa0IN7dgz8IKkWgymXBLbh7ncZawhEYalT4jNWpxBHKG32q1KqYZjY5Gcl3yGmJExAglSyWGCYOcbXO73crwWIvF4sdnfHZa/ao//PDD/OEPfwgNjQ1xWpYvXw7HvBmuHHTlKe9jNpsV04G9e/f6KbKOS3V1NS+++CIgZ5FOdTbq/XnvU3JviTK0tz0M7Sk7EJa5ytq9rc7Mt3myBfXUtKmsXu2b+UhqNBqN4ip24EDHdlBrLUrz+2AJbgcuO36b+JIOdPO7MispGg7mdRxjjSprFXd8dgcAg7sN5lD+Ia677jokSeKOO+7gpps6ftYyM1m2127QNygLMn+h0+l45N+PQA/kfiTVn674LF+8eHHQL6K9gXi+onE/TB9GIYWUU06Tq6lZ70trONF6WnFj00rsbJRLvoZZhjUr8TIajVgsFiWLJLIa6sV/W0vtTnzOYkZQsKPVagkPD8dsNBNBBAA1Ug02m005pnC8vFEISiFM1WKqzFWGWWMmThtH7/DeyjEXtt/i+Iq/R9GjFEy0+pV//vnn+f777+nRowcDBgxg1KhRzX5ChFj62VKQW47kWT2nwCN56H5OdxgFO3aHSrrOxpIlS2hoaGDo0KFceumlp71fcmQy4cb2zy4ZO0Du8bCF2ait7dhOXb7CI3n4Ll/OJPXV9OXo0aOEhYVx7rmnqaXxEhkZGdAD3t/7PmUNXUfErlu3jqLaIhBv/4bmt6ub3wNFUkQSWo8WtLA1d2vA4mgtC79aSFljGQMTBnL/ufczd+5cqqurOe+883jmmWcCHZ5XGNJziHwhBkpKSvy+f1efY9bWhUDj8etTUlJYunQpc+bMOeXjOhsnzkqKNkdjRs4qHHUepampqU3mDR6PR1nIC0c5t9uNXqvn90m/57Lwy+gf3l/JHIkFucFgwO12o9PpFMc7sfBvyQDZzoR6iK5GoyGKKABloKzdbm9m9X3i/42NjUrvksvlIlmTzN8i/8a9MfdiNpuVHi0hGIUgFSe2gi2LBG1wt7viiit8EEaIzkJxcTFbaraADvrF9KNfXL9T3k+Dhs39NkMGbDyw0c9RdiyampqUhcqDDz54yiySy+NCr/XeWaqRqSPlC3Fy+eR5553ntW13FnYc2UFFUwURxggqtsslPBMmTPC5dWlGRgbEwnv297i25NrTnojobBSXFMMVgAUoBr4/9f0C2fyu1WiJlqKppprdxR2jd/eT/Z/w9s630Wq0/HfWf7nnrnvYvn073bp1Y+nSpcrCsaOTHiubahAjz0rq3bu3X/e/Yv8K+cJ+uOOOO5g4cSLJycmMHz8+6M6e+xqxGA8LC1NmJdmwUUstTU1NJ5W7nQ2R0bDZbNjtdmVWklarRYOGNH0aPaN6YtAfN2UQpXYC9aJd9CQB7S6160io7dl1Ol2zgbIiQ6QWSeK4i6ySWqSKviQNGhItic2MGkQWSdh+A0qpY7DR6oj+/Oc/+yKOEJ2EFStWnLXUDuQ/xhRLCrm2XHaV7vJTdB2T1157jYqKCvr06cNVV1110u0uj4uUp1IYmjiUt698m8SIxHbvMz02neE7hrNj1Q72ZewLiaRTsDJPngQ5sfdE1r6/FvBtqZ1AmDeQ3LVmJW30bIS+gBPIAk4e2QEEvvk90ZRItaua3Mrg7+dTl9ndd8F9bP10K2+++SZarZYPPvhA7qPpJGTEZ9Avpx8HNx+kcJR/B8rW2etYlS/PUGM/3Pvfe2U7/y6K2gZcp9MRTTRllFFLrbLQhpZnkoRhg9PpxGq1Kgt3tWsayOVcYnipyBwJRzWxSFfvW5g7dBXUNuAGg4EYYoDjA2WFAFWX2onLwjBDZJuc7uYzj0QGz2g0Eh4erjzO5XKh1+uDMosE7ZiTtGXLFvbtk+2bBw8ezMiRI70WVIiOy7Lly2CYfPlsZ7gHdRtEbmEuhxoOtfiMUVfB7Xazbt06CgsLefTRRwH4/e9/f8ozLZuKNlHWWIaz1ElCWIJX9q/X6rkw+UJ21O5g//79XtlmZ2PeoHlYDBZSIlK48dc3Ar41bRCoB8p2lVlJe4/u5dXDr8q/fANUnnwfjUZDSkpKwJvf02PSya7Iprgp+Acx3/P1PRxpOEJmQiYzLTOZsWgGAI8//jiTJ08OcHTeJcoUxfna8zl44CCFhf4VSd/kfoPT44RKeZh6VxZIcFwkCfMGUdYlRFJry+1EFqOpqUmZ0QNQ6a7koyMfMVg/mFERo5TMkcFgUESSzWZrZiSgHpja1UQSHM+oGY1GYrQx4JHL7USmTrgICpGk0WhwOp3Njr/L5WJ903q+aPyCieaJXG++Xjn2osxRCFtxjIM1Y93qHGJ5eTlTpkzhnHPO4e677+buu+9m9OjRTJ06laNHj/oixhAdhOrqatasXgPPw7PjnmVs6plnl5yTfg4AtggbZWVdp7fibAiL48mTJ3PDDTdQXl6OVqslJibmlPcX1t8z+s5Ap/XeB3pmptzonJ2d7bVtdibSY9O589w7Sa5Ppq6ujtjYWIYPb/t8qpainpWUU5nj8/0FGrfHzfVZ12Nz2eSG980n3yeYmt/HpIyBIqgrqQtoHC3hjtF3MDBhIP8Z/x+uW3AdTqeTefPmcd999wU6NJ+QmpoKQEFBgV/3O7T7UAZVDoLNcMXsK/y672BEZCxEVieaaOB4xkKUYLVGJDU2NioW1WIRv6V+C2sb1vJNwzeKtbRGo1FmI4lFuhBranEmhFxXOnkrXheRVYvRxgCySBKW3i6XS+khUps4iCG+4va99r3USXVotBrCwsKU4xkeLvdMi1K7YJuLdCKtFkl33XUX9fX17Nmzh6qqKqqqqti9ezd1dXXcfffdvogxRAfhiy++wOVyMbjfYO6aetdZe2SGJssOaiSEHO4EisVxUXOLY4/Hw7XXXntKi+OvDn4FwMV922/9rUaTooEpsNEa6hk7E6tWyWU0kyZN8ssCPSEhgXCH/EWzv7zzZ/ncLjemDSY4CsYvjTz88MMnlYEFU/P7/VPvh1fBusYa9KYnY1PHsu22bTx595OUlJQwcOBA/vvf/3bahaE+WQ9DYHeFf/vF+kT3oeStEtgIs2bN8uu+gxnRpxJLLNHIBg4ul4uGBtmVpaUiyeVyKYYP6vlIW+tl8xRh/a3X65UsktFoxG63K1kMkd1QE+gTLv5GLV71ej099D0YzWiGMAS3243NZjtJiMLxIbKiHM/lcbHfKX83DY8YrswNFPbioswOUAbLBiutLrf76quvWLlyJQMHDlSuGzRoEEuWLGHGjBleDS5Ex2LZsmVAy809MhPkTAUJsHv3br/0cwQzisXxGb4YFi1axOzZs5UP7/LGcraUbgHkTJI3qYuogwlQtr8Mp9PZrMm1q/P+7vept9dzaf9L+e472eHOH6V2IH+R9Ynpwy52UdxY7HXTjmDC4XBw9dVXs3HZRowmIyuWr+Diiy/mr3/9K+vWraO0tDTomt8jIiJISEigoqKC/Px8RowYEeiQTqKsoUzpXfzDQ39g7dq1REZGkpWVRWTkyXPtOgtbdFtgHmTn+Dc7vm7dOmpqaujWrRvnn3++X/cdjAgRbjKZMJlMjNCPYIhLdh8UC+62ZJGEYYDH48Gj87DXKp98HRE+QumBEgJAPFZtJCBKydQZla6GeM56vZ5kfTKXI48UEfbqQoCqzTXsdjv19fXY7XacTid5zjzs2InQRNA/sr9yLNVldXa7XRlcG8zGGK2OzOPxnHKxZDAYTlLhIboOVquVzzd8DrdB9ZDqFj2mb2xftJIWjLB5/ylqaLoY69atOymDpOZUFsff5H4DwIikESRHerdh/Zw+cjmkFCdx8GDXMQhoCU9teIrbP7udL/d/yQ8//AD4x7RBMCh1ELjAJbkorPVvf4W/qKyvZPb1s1m2bBkmk0kRSCCf4Z00aRLXXHON3zJ4rSE9PR00kJsXfD1jn+d8Tvoz6SzeuJgPPviAp556CoA33nhDKbHtrPTvLvcC1Ug1ftvnR3s+YvEXi0EPl112WdC9VwOBeqCsMFMQnDgI9mxiSRgGiDIv0Y+0u2E3TslJrDaW3pbeyiJdWFE7HA5lTpK61E7E19VK7QTCedBsNjcTL0IM2Ww24LhIEgNk6+vrFfe7fU7ZryDTmInZZFYcX00mE3q9/rg9+7H9BDOtFklTpkxh4cKFzeYMFBcXc8899/jtTGpbcLgdZ79TiDazcuVKbKk26An77Pta9BiDzsAdSXfAG5C/N9+3AXYAWmpdrL6f6Eea2W+m1+MZkDBAvhAHe/bt8fr2OyrV1mp+LvkZgMiKSGw2G8nJyX5dYA7IGACfwkUVF9E9vLvf9usvHA4Hox8ezVd9vkI/WM/y5csVgdQRyJ2SC3+ETbmbAh1KM6qt1dz+2e1YXVa2523nlltuAeCBBx4IilJFXzM0VS7xtlvsWK1Wn+9PkiQe+u4hPo38FDJCpXYCIT5OzOyAnGEQDnVwZpEkyraEMBLiSqvVsqVOrrAYYhrSzNHOYDAorncmk0lxVTtxCHVXzCKB/NoYDAZFTNqxy4N+3U1Kv9iJpXYNDQ00NDQo1+21yxm8wabBhIWFKQN5TSYTGo0Gu92uuN4F+0mDNg2TraurIy0tjb59+9K3b1/S09Opq6vjueee80WMXqErWeUGgmXLlsGxNfXl/S9v8eNuO+82OATZu7JbPWG7s9FS62L1/aamT+XifhdzacbpB8y2lZSoFHQeHehgU3ZwLfYCyar8VUhIDEwYyK4fZPv6KVOm+PWsY0ZGBuwA2y6bV4YHBxMOh4Pxt4/ncPxhMMM/H/lnhxJIAAaTAXSw90hw9Vre+829lNSX0C+2H+v/vp7GxkamTJmiOGh2dgb3HCxfiOaMWXtvsa9iH7nVueACU5GJ6dOn+3yfHQWRsRCZpA/4gKd4ikKpkPr6+hY53Imskyi1E/bUbrebHVZ5SP2IsBHKYtxoNGI0GhXbabFvMdBUlNqJ2LoqajH5Jm/yAi+QR16zYy2+75xOJzU1Ncr1de46ClyyMcrIqJFYLBZ0Oh2SJGGxWBT3O51OF7S232pa/S5ITU1l69atrFy5UnG9GjhwINOmTfN6cN5k39F9nN83VAvsC1wuF8u/Wg63yr+3ZrhlZmYmGo2GyspKjh49Svfune+seEsZP348KSkpFBcXn/KL4VQWxzePvJmbR97sk3i0Gi0J2gTKKGPb4W0+2UdHRMxHmtZnGqvelU0b/N1Pl5GRAcCBAwf8ul9f43A4mH3dbH5K/wmAeT3m8furfh/gqFpPD0sPyuxl5FcHT4b885zPeWP7G2jQkLwpmXXZ60hNTeX999/vMgvCtJg0+UIU5B3OU/6OfMWK7GMDZPNg+sTpirNXiOMlbcI0oYEG6qhTHO7OJpKEqLFarcqcHmFR3Sg1oj/2b2jEUPR6veKiJhboYl6PsLAW+xL9M12x1A6az0rS6/VEE00xxYo9uzBnEAN36+vraWxsxOFwyO04JgNTLVOp9lQTb4pXjrlWq8VisWC329FoNCcN8w1WWp1JevPNN3E4HEyfPp277rqLu+66i2nTpuFwOHjzzTd9EaNXyK4I2Rj7ih9++IHq2GrQwYD4AWTEt/yLp95TT8K0BBgFe/Z07ZIunU7HM888c1qBBP63OE6LSgPgQHXnWoy3h5X5skgalzyOn36SF/P+LjXOyMiACCiJL+HNLcH7udsaHA4HVy24iq+MX0E49Anrw9s3vx3osNpE37i+AByxHwlwJDI1thpu/+x2AC7UXsi6d9dhNBr5+OOP6datW4Cj8x/dw7ujdWtBAzvyd/h8f5/kfCJf2A+zZ8/2+f46EuqBsgaD4SQbcFFCd6rvQ5EtErN2hGGDcLczuoz8MeaP/D3+70SYIhTHNq1Wq9h7R0REKN+lJ5baBXsJmC8R5XZ6vV52HtTGAsdnJQnBI4RpTU2N8lppNBpi9bHMjZzLLVG3EB4ervQcCdElhvV2lBMGrRZJN9100yltTevr67npppu8EpQv2FfRsj6ZEK2nraV2AHnVeRy98ChMCtmAA1x88cWn/PA4lcXxJ/s/objOtwMrhyTLjkOl9tIuXw4JcKjmEAerDqLT6NAWanG5XPTp04fevXv7NY64uDgi+0fCXPjH9//w6759gcPhYMGCBawoXAH9waAxsOLGFZj0wWsNeyZEWVetpjbgfzdut5tr3riGkvoSEjQJrP/7ekAunT/nnHMCGpu/0Wg0RHpk9759pb5dExxpOMKmomNlyjmyaUOI5oiZRSaTqZlIEi5pp0OIIfG/GCArzBvEYxPMCcrMH5EdEoLJYrEoi32Xy9XMeKyrZFZPhSg31Ol06HQ6ojTyoF8hkkQmCVAGyArho9FolOOo1+sJDw9XjrHRaFRMH4xGY1DbfqtptUgSKvxEioqKiI6O9kpQvmDf0ZBI8gWSJLFsxTI4ljy6fEDrRNKA+GPqKgq27Q2VdL3zzjs0NjaSlpbGypUreffdd1m9ejX5+fnNBFK1tZorP7iSlKdTKKkvOcMW28fD0x9G+5wW56fOZmYtXZVtpdvQarScl3IeG9fK86MCZVjTJ7YPAIcbDgd8Id4eHA4HV111Fcu/Xw4Xydc9Pv1xhnQfEtC42sPoPqMBcEe5KS8vD1gcWVlZ9O7Tm6+++AoaoOLVCnDK79nbbrstYHEFkov1F8O74C5xn/3O7eCznM+QkKAYzh98PklJST7dX0dD7XB3qkxSY2MjcHImSWSQxG1CUNlsNnmoqduBzSVfFhkR8SPK6cTiXaPRKH1M4jadThfUltT+QGT3TswkiePtcrlwOp3U19cr85EkSaJGqmG3dTc2lw2TyURUVJTieBcWFobD4UCj0XSYLBK0oidp5MiRisKcOnVqM6XtdrvJz88P6ubavOo87C57hz0zGaxs376dgrICdId1pJyfwtjUsa16fKwllmhdNLXuWrYVdG2RJEkSzz77LAB33333GRffK/NW4pE8DOo2iB6RPXwWU3p8Ov3i+5FTmUN2djY9e/b02b46AlcOvJKK31dQ1ljGNc9dA/i/H0kwuMdgdkg7sHvslDeWK3NvOhJCIK1YsQJjuJGLUi+iMayRRecvCnRo7aJ/N9lqmljIy8sjMdH/r40YTC1JEhQAnx6/bdWqVWRlZXUJR7sTmZ46nQ9yPuBon6M+3c/m4mNjLfaHXO1OhXpWktlsbiaSRGZICCRxcl49KFan0ykCSWSQPB4PWxq28L+a/zHWMpbbEm5TnNWEADIYDERERChCSGRBxD66chYJjpdBiuMVo40B5NdFOAmKfjFh++1yudBoNGxxbmFp9VKGG4dzf/z9ysBekb1zOBwYDAZluGxHoMXvBjEgdPv27Vx00UVEREQotxmNRtLS0pg7d67XA/QW/SL6UVZfRq/YXoEOpVOxfPlysMIsxyw+Xvhxm5od+8X0Y0vlFnKqcrwfYAdi9erV7N69m/Dw8LOWrgrr74v7+v7ExMCBA8nJyWHfvn1BbfPvL2ItsXiaPGzfvh2AyZMnBySOzIxMqAJiZPfOjiaS1ALJZDLxSdYnzJgxA4fbgVbTsc/k9o7pTURdBA2FDeTk5XDBBRf4df9tGUzdVUhNTQWgsNC388X+M/k/vH776zgbnMx+MdSPdCLqTJJerydWEwuSvBgXs3cEQsCI8johcEQ/kt1ux26343A42GnbiR07eq2+2WBU0WsTFhamiAAhsOB4H1JXF0mAUmpnMpmI08eBHeqpx+F0KAYNInvX1NSETqfD7Xazq0l2e800ZhIVFaW8TgaDQTF76CiGDYIWvxv+/Oc/A5CWlsaCBQuCfgDUieQ8nMOFL17IM8880yXPnvmKZcuWAbKIbqsbzIiUEWyp3EKDuYGjR492qUZiNSKLdOONNxITE3Pa+0mSxFcHvwJgZob35yOdSO2QWtDDppxN3MmdPt9fR2D16tUADBkyJCBZAjhm3vAlEAO51blc2OvCgMTRFpplkOKNLH9nOTNmzADAqDMGOLr2Y9abmVMxhzc/epPiEb7tGzwVymDqcCAGKAFUekk9mHrSpEl+jy+QRHSPgCGQF5bn0/18/fXXOI846du3LwMHDvTpvjoiYr0gbLkTjAlE26OJJhqbw0ZjYyMulwuDwdDMqEFke2w2m7JQF30yHsnDHrtsADUifIRSZgfHy/rCwsKUrJToXRKLfJFx6uoIkWQwGIjRxTCa0UQRhcPtUGZRCUc7cQwdODhol0ftDAsfRlSU3Mskyh6F0O1IWSRoQ0/SjTfe2OEEkqC4uJh58+aRlZUV6FA6Bbm5uezK3YU2Scull7Z9Ts+QpGO9Bwld1+EuPz+fTz6RnZDuuuuuM953V/kuShtKCTOEMa7XON/HFp4PQ2FHqe/doIKZxRsXM+6/43hv13usWhUY6281GRkZUC1fzq3KDVgcraVZBinSRLffd+OJI0/4tLcuEKSnpwPy37a/UQZODwNuA+ad5X5dCGuYFeaB9QIrdXV1PtmHR/Ion+ezZs3qsnbSZ0OUdhmNRuIscdzDPdzMzXhczQ0CTiyzAzmLJAabiv/zbHnUS/WYNWaGRA1pVman1+uxWCxKFkOYNagzR13Z+luNeF3MZjNGvZHLuZyJTMSgMWC1WrFarTgcDsV+HSDHlYMbN9103egV0Quz2YzT6VQyfx6PB7PZ3GEMGwQtEklxcXFUVFQAEBsbS1xc3Gl/ghnp2Km0RYsWnWT5GKL1LF++HIaC51ce7lpz5oX9mchMyJQvJHRdh7slS5YgSRIXXXQRmZmZZ7yvyCJNTpuMWe/7Exb94+T+isMNh32+r2Dmy4Nf8kPhD5Q1lgWPSKqSL+8r7xjGNA6Hg/nz57NixQrMZjMznpxBsa2YA5UH/PJe9ifp6emggYOH/T/IXBk4LRIYp/nTbekA685EZtKxz9doyD/sfQHrkTwMeG4A77nfg/CQ9feZOHEmj5qmpialFE6YKwjBc2KJncho7LLJ5V6DTIMIN4crffTCzc5olLPUHo9HyWyIBTyESu3UiNlSOp1OEY7q2VVNTU3NSiL32OQT3INMg4iIiMBgMBy3ZDca0Wg0ykysjkSL3hFPP/00kZGRyuUOqbRvAwwgvdB1ywy8zbJly+BYf/Lo5NFt3s55Pc/jKvtVfPj2h+z9RdcTSQ0NDbz66quAbNhwNoRIuriff4xSRvQewbdHvqVOX0ddXZ2SRu9KNDoaWXd4HQBDw4eyf/9+tFotEydODFhMUVFRxJXHUfVOFde/dn3A4mgpQiB98sknmM1m/vjGH/lj9h8BeH3268RZgvskW2vZot8CD8OWvC1+3/f48eNJzkimtNexTNEJGvpUg6m7CsmRyWg8GiStxPbc7QwfOtyr299UtImD1QchVe5fvPDCjlMG62/UmaQT+1QcDgc2m03pf1ebKqh7kcRMJbfbzW77bgCGhw1Hp9Ph8XiU7YeFhaHX63G73Ur5l/gdCJXaqRDiUQglp8ZJtVSNAVn4WK3WZtbfWq2WnU07ARhqGUpYWFizfkixLaPR2OGOcYtE0o033qhc/uUvf+mrWHxLPGBEfsaurllm4E3Kysr44ecf4NiJ9NZaf6uJtcRyaealfFj3YZcst3vrrbeora2lX79+LXKI/Gj+R3yb9y3je/lngTOsxzD5QjxkZ2dz7rnn+mW/wcSirxZhdVlJi0mjeJvcYzJ69Ogz9o75g4HdB/LDDz/QVNwU0DjOxokC6a2P3+KufXL2+e5z72Z63+kBjtD7pCWnwUFo0Dfgdrv9egZVp9Nx2e8v45WSV6AQqD9+W6AGUwcLWo0Wi8NCk7mJXYW7vL79T/YfGyB7AC6beVkoO3EWtFqt0sy/nvX8xE+MZjS93L2URTigZDRE6Z1wVRO9SbWuWgrcBQCMjpJP2oosUnh4eLO+GPEjtqMeNhviuHg1GAyYTCZWa1bzAz8wlrFk2DMUVzuQX78yZxkV7gp06BgaMRSLxYIkSUo5o06nw2KxdMi/hVa/I7Zu3cquXcc/WFasWMEVV1zBH/7wh2Zv6KDDhvxsE+Rfu2KZgTf55JNPoC+gg/7x/ekf379d2xs8WB6+2NXK7dS233fddVeLPqTjw+K5esjV9Izyjx13RtyxIVjHRFJX44PdH/DqtlfRoOG1Wa8ppXbB4PSXkSG/NgcOHAhwJMdxu92sWbOG9957jzVr1mC1WpsJpBUrVvBew3scaTjCwISBPD7t8UCH7BNGpo0EQIqRZBMFP5NnOmZMcEIW6VSDqbsasRp59suBo97/u/kk55hICll/nxW1eYPBYMCDhzrqqKYam82GzWZTSr6EoHe5XEo2Qxg3uN1uJI/EZZbLGBc2ju5h3RUjBpPJpMzlEYt/kUGy2+3KdR2tV8aXCHEpjnuMJgaQZyWJ4y+OHUCCNoGH4x7mppibiI+Mx2g04vF4cLlcmM3mZtvraLRa1t1xxx08+OCDDB06lLy8PBYsWMCcOXP46KOPaGpqYvHixT4I0wscRXb56Q6phtQuWWbgTdSldpf3b3sWSVAVUQWTobyknIqKChISEtq9zY7AypUryc7OJjIyMmiztBnxx0RSFOzY17XMG/Kr87n9s9sBeGjcQ0xOm8wvV/0SCGw/kiAjIwMGwMdHP+b66utJj00PaDxZWVksXLiwmSgwm83YbDbMZjOffPIJJd1KyNqQhV6r5+05b2MxWAIYse/oF99PvhANB/MO0rt3b7/tu7KpkjWH1gAQdjiMZV8vo7KykuTkZMaPH98hFyveJMmcRLFUTEFdgVe3e7DqIHuP7gU3GA4buOiii7y6/c6GWGSLTNKJA2XtdvtJZXjCcEEYN1itVtxuNxHaCC4Ov1hxr/N4PMpMJIPBoDjjGQyGZqYPRqMRk8nUMdtIfIhaPEZr5NeljuNGJ8LVzuVyodVqSTWm0sfQR+kvEy54IhslMkodjVZnknJychgxYgQAH330ERMnTuTdd9/ljTfe4OOPP/Z2fN6j4tj/3bpumYG3qKurY+WqlXBs7XxZ/8vavc0fS3+EicCArpVNeuaZZwC46aabztrrI0kS8z+azz/X/ZNaW60/wgMgzhJHuCYc3LAjv2uJpJV5K6m31zM2dSx/mfQXcnNzKSwsxGg0BkWvQUZGBoyDHfE7+Lnk54DGIoaXnpg1sdlsANx///1Mnz6dEUkjGNJ9CH+d9FdGJY8KRKh+oUdkDzQeDehg68Gtft33Fwe+wC254QjMmTyHGTNmcM011zBp0qTQdx+QFpMGQJm9zKvbVUrtDsPUC6cqvdwhTo16oKzRaDxpoGxjY2Mzky2Px4Pb7VYyGY2NjYrYEXN41A51FotF6Y8R5WNqNzzRJ9MRy8B8iTiOoocoVitnXsUMK7vdrohOSZIUgwbhIKh+PYxGI2azGa1W2yGFaKtFkqgzBPks+CWXXALIA9qEA15Qciy0cy45p0uXGXiDL7/8Emd3J4RDjDmGC1Pbv1hUO9x1lb6kAwcO8PnnnwNw551nnz+0v3I/S/cu5W9r/4Ze698P9ZdGvQT/gKLt/i8bCiS3jb6Nb3/xLe/OeReDzsB3330HwAUXXBAU8x7UDne51YGzAW/J8NLXX38dt9vN8KThbL5tMw9c+IAfI/Q/Oq2OKI984sMXvS9nYsGgBcSviIdvYcGCBX7dd0dgVr9Z8C4YN3l3JpcikvaHXO1aglg0i7K4BINcQVJLLZIkYbValfUmHHelE853NpsNl8tFiauEnx0/Y9fald6jE/tgREZKOOWJBXzopMGpEaYNer2eWL0skuqpx+U+XmrndDrJc+bxStUr7HTuRK/XYzKZlFI74Sgoyva6hEgaM2YMjz76KG+99RZr165V5uPk5+cHbKhiS4hyyF9WVfqqAEfS8Vm+fDmUwnz7fJ6a8RQGXfunJysiqRvs2ds1RNKSJUsAuOSSS5TekjMhXO0m9J5AuDHcp7GdyMQRE8Ejz8YSafauwtQ+U+kdI5dKBYP1t5p+/fops5L2lAbu70YZXnoGCitkV1GQh63qtJ1/cdLd0B2AgxX+tQHf8OMGKrdVElMZowzpDXGccZnjIAfK9pWdUdi3lvFJ46EI2A+XXdb+CouugCiBMxgMxBviAXDjpspepZgyCESpnd1ux2q1YrfbAdjQtIG3Gt/iw7oP0el0OJ1OpYRPnSUSmQ+xaA852p0ecWyMRiOx+lg0aPDgoUFqwOPxoNVqcblcbLNu4yfrT+yw7VAMMpxOJy6XSyllFH1lHZFWvzsWL17M1q1bufPOO3n44YflL2lg6dKljB071usBeou63DqGdhvK2NSxXv1Q7GrY7XY5++GCe2fdy00jb/LKdvvH90eDBiywPWe7V7YZzNTV1fHf//4XgIULF7boMV8e/BLwn/W3mp49exIREYHL5SI3t+MMLm0LZQ1lXPbuZRysOr6wdbvdrFq1ii+/lF+DYBkfEBERQbRHLlHZeyRwZapndQtNAu6BF3e/iEfynPm+nYgxCWNgD9QW+688FuCDDz4A4Morr1Rmw4Q4Ts+esumNzWbzagVMWnEavAqj+44mJSXFa9vtzKhLu8JMYUQgW35Xuiux2WyKEBIlXG63G6fTqVhQu1wu9jjlE0SjIkcp85SEYYMoA1MbQIhFfkctAfMH6mNm0BmIRC4drdfUo9frcTqd6HQ6dlnlLPmw8GEYjUal/E49vLcji9FW1+wMGzasmbud4F//+ldwK8UmeP281xk9uu3zfELIZ9Lr6+tJTk72qhW0xWAh2ZJMibWEveWdvyfpf//7H/X19WRmZjJ9+tntj5ucTaw9tBYIjEjKrsjGeLURymDfvn1nHXjbUfFIHm5YfgPf5H5Dta2a9TetZ9myZSeZEVx77bU8++yzQVG6mx6dzna2c7gucMN+z+gWqgfmAEYooUQ+GdJFWDRmEe/99j1qetT4bZ93fn4nr5e/DvGhUrvTYTKZiL4gmlpdLbtydzGlm3cywytWrABCpXatRfQL6XQ6UkihCXmkgTBvAFkkiSxSY2OjMkS20l3JEfcRtGgZHj5cyRQJAwdRMiaySqKfpqMaCfgLUY4onAfP1ZyLW3JjkSzK8N5qVzVFziI0aBgWMQyz2ayIWdGLJDJ2HVWMek3aidRmMNMV7Yu9zfLly2EIJF6fyK5y79bZD0kaAkC1tprKykqvbjuY8Hg8PPfcc4Bs+92SD4+1h9Zid9tJjUplYMJAX4d4Ena3naqUKsjs3H9H//nxP3yT+w0WvYWXL3uZZcuWndKMoKSkhHnz5pGVlRWgSI8zOFm2z690VmJz2QISw/jx40lJSTn1e3kK0B20Vi0f3fBRh/2ybAvp6bLbYElJiWJg4UtsLhuvbX0N21Ab0d2jg6YsNBixjrfCNNict7nd27K77Pxvy//45vtvgJD1d2sQM4tMJhMmk4mruZqbuZme9FQGyorshBBJTU1NWK1WAHbZ5XVIX2NfIg2RzRzVhCmDWOyLBbzIkHSlz6K2oLZMn6CZwEQmEkMMTqcTjUbDXrt8Qru3sTfdw7uj0+kUEwez2awYNnTkY90ikRQXF6ekpGNjY4mLizvtTzCzb98+3B43VdZQX1JbcLvd8pmykbA9fDsr81Z6dfuDE+XFHgmd2+Hu66+/5sCBA0RHR3PDDTe06DGiH2lmv5kB+bDpF3fMzjgctu/f7vf9+4NNRZv4w6o/APDMxc+QGZ95WjMCcd2iRYuauS8FgqF9hoId0MiW5YFAp9MpTo3NSAeOVWE/mPkgSVFJfo0r0CQkJBAWHgYRcPiw7zN93+R+g81jg1q4avxVQX/iMpAIU419pfvOcs+zs/rQan752S+x32SnV+9eDBs2rN3b7CoIkWQ2m08qDbXZbIp5g9vtxuPxKGV2TqcTSZLY45BL7UaEjwBQ+mjEiXuz2aw43olyvY7cI+MvhEASIkkcL2HKACildkMtQ5U5U6IMrzOU2kELy+2efvppxcry6aef7rCK8NvSb/n3P//N9L7T+fSaTwMdTodj06ZNlNWUQZr8++UD2j8fSc0959/Dtpe2sebbNey5ck+nnWUlFpO33HILERERLXqMhESEMSIgpXYAEcYI4vRxVLmq2FXsX6cuf1Brq+Waj6/B5XFx1eCruHXUraxdu/aMZgSSJFFYKJsRBLJHqX///nAvDE4bTL8/9gtYHHPmzOHaa6/lnXfeka8wA1fIF2fEzeAfv/xHoEILGHX2Oqz3WkEH2bnZDBgwwKf7W7pnqXxhH1z9+6t9uq+OTjdDNyqoIL+q/ScWFFe7gzB71uwOu0YKBEIkiQW1QELC6XQq83aEUKqvr1cMHawuKwec8kDg4WHDcTqdGAwGIiMjFWc1scAX2Sg43m8T4vSos0g6nQ6P1kM55Rg8BpLcSUhI7LbuBmB4+HBl1pQkSUpWEOgaIunGG29ULvtq4OXjjz/OQw89xMKFC5WBtDabjd/97ne8//772O12LrroIl544YU2u+iV55Vj72VnT3nXcE/zNsuWLYO+gA4y4jLoH9/fq9tPjU5lTN8xrJHWdNpMUnZ2Nl9//TUajYbf/va3LX7cszOf5d8z/u3DyM5O39i+VB2tIr8uX7FQ7QxIksQdn91Bfk0+aTFpvHzZy2g0mrObERyjpffzFRkZGXAIiqqL/G4NfyJ5eXkA3HPPPfyU8hM/1P9Av9h+fHxHEM/Q8yFRpih06HDhYkvuFmbju14Vp9vJsr3LAIg9EsvEiRN9tq/OQEpECvuc+yhuKm7XdiRJOi6SsmH2olA/UmtQD5Q1mUwc4hBZZBFFFL9z/46GhgYlA2Sz2ZR+JI/Hw2HnYZw4idXG0lPfU+k9iomJUaynxSJdPbsnlEU6O8JQQzgPZkvZvMM79Hb2ZpRmFLXuWhL0CUhOiQERAxRXQaCZq11H7keCNvQkTZs2jTfeeIO6urqz37mFbN68mZdeeumkFPU999zDp59+ykcffcTatWspKSlpV6N00Tb5rHB+TT6NjsZ2xdzVkCRJFknHdNHl/b2bRRIMHiyX3HVWkfT8888DcPnll9OnT59WPdaoM2LUBc6pamjPoQDYwmyUlJQELA5vU++oJ686D71Wz3tz3yPaLLvFndGMQEVL7+cr+vbtC0BtbW1AZ9WVlZWxceNGAO69917mj51PuCGct+e8TYSxZRnTzoZGoyFGigFgT4lvT86tPbyWBncDNMI1464JLQTPQt8E+e+m0tW+/tetpVspri8GB0RVRTFhwgRvhNflEH1DJkzUUUcNNUiSpMxCOnE+kkajoY+uD3+L+Ru3xt6qLMRjY2OxWCzNbL7FTB/hdBf622gZ4hgaDAZitDEA1FGHXq8n3hjP33r+jSd7PEm4WR5J4na7mw2h7cjzkQStFkmDBw/moYceIikpifnz57NixYp2zU1paGjguuuu45VXXiE2Nla5vra2ltdee42nnnqKKVOmMHr0aF5//XV+/PFH5Yu4NZjNZly1LuLNsg//vor21yF3Jfbs2UNuXu5xkeTlUjvBDssOmAs7inb4ZPuBpLa2ljfeeAOAu+++u8WPO9p41EcRtY6B3Y4ZRsR3LvOGKFMU629ezzfXf8P5Kecr1w8bNuyM9skajYbU1NSAl4VaLBaSByXDeHh05aMBi+PTTz9FkiTGjBlDSkoKC89fSME9BZyXcl7AYgoGks2yiM6ryvPpfj7a/ZF8IRuuWXCNT/fVGRjUYxAADfqGdm1HXWp36UWXhvrAWom63M5gMNDN2A2ABhqwOW3YbDbF6rumpqaZkYMkScRoY8gMk91Whe23EEJCJEmSpKxTQ69Py9Hr9UppYpxe9hyolWrR6XVKL26EIUIprTvREa+jCyRog0h65plnKC4uZvny5YSHh3PDDTeQmJjI7bffztq1a1sdwG9/+1suvfRSpk2b1uz6LVu24HQ6m12fmZlJr1692LBhw2m3Z7fbqaura/YDKMM6e+h7AIRK7lrJsmXLIAUIg2hTNBemXuiT/Wyo2wBDoUJfQVVV5zLY+O9//0tjYyODBw9useuU3WUn/Zl0Bjw/gNL6AJd1xWWABBhkE5SOjtqQwagzMjl9svJ7ZWUlM2bMwOFwnPKx4oN/8eLFQXFWMjEzEabCh3kfVS8XIAAAbidJREFUBiyGU9kfx1mC28zHH6THHnO4s/o2+9p4pBGqIb48PqhnFgYLo/qMAsAV7lJ6VdrCJznHRNL+kKtdWxGlXTqdjjhzHPpjnSBH7UcVkwar1YrValUW5x6PRyn7FjbfZrOZsLAwpcxL/AhBFTJsaB1CaBqNRmJ0McpA2Sp3FVa3/FoIISr+htTDY8VtHZk2Ra/VapkxYwZvvPEGZWVlvPTSS/z000+ttht9//332bp1K4899thJtx05ckR+YWJiml2fmJjIkSNHTrvNxx57jOjoaOUnNTUVQGmYjbTKBhR7joZEUmtYvnw5RECUNoqZGTMx6HxzNmZw987pcOd2u5VSu7vvvrvFZ1d+KPyBRmcjdfY6kiIC6ww2M2Mm99nug/c7Rybpri/v4g/f/QGnu3kmvLy8nMmTJ7Nlyxa6devGf/7zn5MGQ6akpLB06dKgmJMEMChJPite7izH7fG/215jYyMrV8pul2UDyvhg9wc0OZv8HkcwMihZfm2qqfbpfjxrPPAM/GLsLzr8wsQfjO43Gu37WngVSo+07QRUaX0p249sBw/o8nTMnDnTu0F2IbRaLRaLBb1eTzRyyXOVpwq73Y7T6VQGy4r5SCsbVvJiw4vsde9FkiQsFgsWi0UxEBCiS6vVNssidfTMhj8RpYoajQaTwaQMlP268mt+W/Bb3qh6Q3EOFMdcWK+rH9uRadcn6ZEjR/i///s/nnjiCXbu3Mk555zT4scWFhaycOFC3nnnHcxmc3vCaMZDDz1EbW2t8lNYWAgczyR5yuVp73uPdp4FuK85fPgwW7duRbtfS84dObx46Ys+21dmwrEhpZ1MJH3xxRfk5eURGxvLdddd1+LHCevvi/peFPAPG6POyOBMWcR2dJH08d6PWbJ5CY+tf4xNxZuU60tKSpg4cSK7du0iOTmZtWvXcu+993Lo0CFWr17Nu+++y+rVq8nPzw8agQQwIn0EuMCj8VBUd3pHPl/x7bffYrPZ6JXZi//L/j+u/vjqgMQRjIiMhTPc6dVeXjVNTU188omc0bh6QcjVriWYjWZ6NvaEMiguapt5Q3JkMg9bHoaPYPJ5k4mOjvZylF0DYaYgzBuESKqlFrfbjcPhoKmpSRFMDoeDnY6d7Hftp1qqVvpmhN23OouhtqwOldq1DlFuJ0wwxOvyXfV3uHFj1MgGDaLXS/3TGfqRoA0iqa6ujtdff53p06eTmprKiy++yKxZszhw4ECreoW2bNlCeXk5o0aNUg7q2rVrefbZZ9Hr9SQmJuJwOKipqWn2uLKyMpKSTn9G3WQyERUV1ewHjmeSGvY3MHfgXGb0ndHap95lWb58OQDjxo0jsXsiMeYYn+1LLZL27Ok82b5nn30WgFtvvZXw8PAWP06IpEBZf5/IwIFyX1JHLrc7XHOYWz+9FYD7x97PuF7jACgoKGDChAlkZ2eTmprK2rVrleer0+mYNGkS11xzDZMmTQq6ko0B/QdAjXz5YNVBv+9flNr1n9Ufl8fFiKQRXne/7KiM7jUa40EjZEN+vvfnWEmSxJMfPUmjtZG0tDTOPfdcr++js9KrVy8A5WRqW/j+s+9hX6jUrj2oMxEGg6GZSLLb7VitVsXlzm630+BsIN8t/y0NtwxXMkgmk0mxrRaldiKL1BlKv/yNeE1Er5HIJDV45D6+IeYhzbJGIovXWQQStNACXE1iYiKxsbEsWLCAxx57jDFjxrRpx1OnTmXXrubzVm666SYyMzN54IEHSE1NxWAw8N133zF37lwA9u/fT0FBARdccEGr99e/v/yFXbipkJ1f7ewUL56/WL58OVhg9hW+tzZVRFI87Pmpc4ikPXv2sHLlSrRabatsv4vqithVvgutRsv0PtN9GGHLWdm4Em6Gkp9KqKurU05CdBRcHhfXZl1Lja2Gc3uey6NTZKOD3Nxcpk6dyuHDh0lPT2fVqlWkpaUFNthWkJGRAR8ACbJImtpnqt/27Xa7+eyzzwCo7lENNbBg8AK/7T/Y6RPbh2HZw/j555/Jz89n+PDhXt3+tiPb+Ouhv8JCmGeYF/puawWWDAsAK/NXMp/5rX58RUUFP/zwAxASSe1BvGdFqVYiifSiFxFE4HA4lFI7Ydiw37UfDx6SdEkkGhObDaNVl9oJVzvgjCY8IU6NUmpnMrHdvp1DHGp2+/+q/kd4dDhTkqco5htqkdQZRGmrRdInn3zC1KlT2/3kIyMjGTJkSLPrwsPDiY+PV66/5ZZbuPfee4mLiyMqKoq77rqLCy64gPPPP/9Umzwjffv2RavVUltbe9ZsVIjjVFRU8P3338O18LjzcQYdHOTTrEZ6bDp6jR6X0cXOwzt9th9/8txzzwFwxRVX0Lt37xY/7uuDXwNwbs9ziQ+L90lsreWI7Qj0AgrkkruOdtb6L2v+wo+FPxJliuK9ue9h0BnIzs5m6tSplJSU0L9/f7777ruTepCCnT59+iBaXnYV7YK2nbtqEz/++CMVFRVE94hmW+02AK4afJX/AugApKenKyLJ27y/4335QjFc80DI1a41NPRogDTYWNN6x9xl+5bxyCeP4Mn0MNwwvFWf7SGao16M6/V6zj/2D2SDBtGL1Ngoj27Z45BPoA42DVYMG7RaLQaDQclGabVaZQitMHYI0TqE4Fxbvpbnyp876fZqdzX/OPgPDEYD03tOb1Zq19HnIwlarXSmT5/uN3X49NNPc9lllzF37lwmTJhAUlISWVlZbdqW2WwmPV12Gdq7dy+Haw5TXNe+IXJdgU8//RSP3oMmXcNR61HSYtJ8uj+9Vk+/2H7ghqOOo1RX+7bZ2ddUV1fz5ptvAq2z/Qb4KvdYqV3f4Ci1A8iIl3v7OqIN+Kr8Vfxz3T8BePmyl+kT24ddu3YxceJESkpKGDx4MGvXru1wAgnkM7BxyE5yu0t2+3XfohdmwBUD8EgexvQYQ5/Y1s0A6+ykpadBJOw95P0+y3e3vQtAYlUiI0eO9Pr2OzPi+6zcXt7qx36872N223ZDj+aOjiHahrrcTo0osRNudi63i71O+e9oiEku9woLC8NgMJw0QFZdatcZFuz+RqPRoNFqeDbn2TPe74XcF5A00kmGGZ3hmAdVLmzNmjUsXrxY+d1sNrNkyRKqqqpobGwkKyurXRkg0V/wz5//SdozaTy98en2htzpWb58OfQFSSfRL64fA+IH+Hyf3/3yO1L+lwKHO755w2uvvYbVamXYsGGtHjJ484ibuX3U7cwaEDxlHEqfSVzHE0mVTZWEGcK4ZeQtLBiygK1btzJp0iTKy8sZMWIEa9as6dAZ5iGaIfACLDD6r9RNkiSlH6kxTT7LGyq1O5nv476H38H6pvVe3e6+o/sodhSDG64/7/pOsSjxJwOS5O+zWk1tqx7ndDv5POdz+ZeQ9Xe7EZkks9msZIEA3LiVEjsxK6nAWUC9VI9ZY2Zg2EDlMUIIqWcjud1upQwsRNvYXL75rCcRyu3l7KrdpRzrziRKg0ok+ZrMTLnfxXNUdrgL2YCfmcbGRr755pvjA2T7X+6XN36PyB4MHii7qHVkkeRyuRTb74ULF7b62M3MmMlLl7/EyOTgOTusFkl793Ws12b+4PlsvWMrz1z8DBs3bmTKlClUVVVx7rnnsmrVKhISEgIdYrsYmj4UyqEgt8Bv+8zOzubAgQMYzAbCosMAmD+o9b0dnZ0+8XJmrcxe5tXtvrtdziKRBzcuuNGr2+4KDOs1DACbydZsbtrZWF+wnhp7DTRCD6kHo0aN8lGEXQuRhdAb9TzN0zzKo9TYa3A6nbhcLtxuN5JGItOQyRDjEMJMYcqi3Gw2KzN9dDqdUmon+mNCtI2j1pYNs692VjfL4nWGfiToYiJJZJLq8+qB0EDZs/H1119js9vQZspvk8v6X+a3fQ8e3PFF0qeffsrhw4eJj4/nmmta3iuQW5Xbqi9sf9Iruhd6jR4MsLvAv2VdbcXlOT4osn98f7Zs3ML06dOpra1l3LhxfPvtt8TGxgYwQu8gxhwcOHDAb/sUWaSpk6by0+0/UXRPEb1jQr0ZJzKkp9xnW6ut9erf9ls/vwVAcnXyST2+Ic7OmAy5eU8yShypPf38xRP5ZP+xAbI5MPvy2Z3mrHkgUWchwsxhuHAhIVHpqsTtdiulc31NfflN5G/4ZeQvMRgMJ1lQC0EkskidKasRCJIjk1t0v26WboqzYGc65l1KJIlMUsl2efJ5YV0hdXbfzK3oDCxbtgx6gsfiIdoUzfhe4/2y3yMNR9iQtAGu69g24ML2+/bbb8disbToMdkV2Yx4aQQ3LL8Bq9Pqy/DahF6rJy0qDYD8+nzliytY2VKyhQHPD2DtobUArFy5kosvvpiGhgamTJnCV1991eEc+k5HRkYGjIbVEavZXe4fASv6kURPRs+onn7Zb0djdN/RAHiiPBw92rIzs2fjcM1hDjsOgweuPzdUatcWUpNTQXYz5ueDP7foMZIksWK/fHKA/aF+JG8h+llERkjYgAuRpNFolBI6sRgPCwtTMkfqBbokSYphQyiL1D4m9J5AoiXxjPdJNCdyTuI5ilDtLP1I0EJ3O7HYawmtbU73J4pIyishKTyJI41H2Ht0L+entN4tr7PjdDplW99jVQQX97sYg84/db1hhjA2NG2ADNj9Y8fIVpzIzp07WbNmDTqdjl//+tctekyDo4G5H86lwdFAUV2R3453axmcNJjcglw8Wg+5ubnK31WwUW+v5+qPryavOo/nNz9Pw54G5s6di91uZ+bMmXz88cctFq8dgYyMDBgCVelVbCnZwpDuvs0slJWVybPxTDBhRuv67boamd2P/Y1Ew8G8g3Tv3r3d24xwR6B7WYc70c3N797c7u11RTQaDSarCXuEnR2Hd3D5mMvP+pg9R/eQX5MPLogoi2DSpEm+D7QLoJ6VZLFYiCaaEkqopRaPR26RKHeXgwviDHGYTCYl8yT+FyLJ4/Hg8XgUARWi7Rj0Bh4e9TB3/3D6tf29g+7FoDN0ulI7aKFIevrplhkcaDSaoBZJcXFxdO/enfLycnpZenGk8Qh7yveERNIpWLt2LTU1NcSWxXLzBTczOW2y3/YdZYoiOTyZ0sZSSh2l1NTUEBMT47f9ewNxYmHu3Lmkpqae9f6SJHH7p7ez9+hekiOSeX/u++i1wWlZmrUgi3P/fS5b9m8hOzs7KEWSJEn8+vNfc7DqIL2iezGLWVx55ZU4nU5mz57NBx98gMlkCnSYXiUtLQ1NtQYpXWJHwQ4Y4dv9ffrpp0iSROqsVEa+O5LfXfA7/jn1n77daQclJSoFjUeDpJfYdmAbY88f2+5tLlu2DHeJm2EJw4Lyb7CjMLRgKD8v/Zke/+rRovtbnVbSPGkcOnCImdNmdrrPkUAhMg8WiwW9Xq9kkmqkGjweDzabjWW1y9hi28JVEVcxO3o2RqMRj8eD2Ww+ZRapM2U0AoVOp+OS9EuoqKjguYPPUe0+7jjc3dydewfey9QeU5uJ1S4nknwx2yFQDBw4kPLycmKdcg9CyLzh1CxbtgyAuRfM5d8z/u33/Q/sPpDS/FJIgH379rVpgHCgqKio4J133gFanll9YfMLvLf7PXQaHR/O/5DEiDOntwOJVqNl4MCBbNmyhX379nHFFVcEOqSTeHPHm7yz6x10Gh03Rd3ETdfchNvtZsGCBbz11lud0u3IYDAQRxyVVLKreNfZH9BORD8Sg8HhdpAc0bLa9a6ITqsj3B1Og7ZBFrBe4IMPPgBgwYKQm2B7GBQ7iJ/Lfqa8uGU24Of0PIeIrAjYA7PeDLnaeRPRl6TX64lCLoOuoUa28/Y42WOX12u99L2wWCyKE57aelqIpM62WA8UomRxYveJpNvTybZm4zQ5SYpIYlyvcei1+mavgcgIdha63DtInHGLrYjl/rH3c0nGJQGOKPjweDzKAujKK68MSAyZ8cfOjCZ0vL6kV199FZvNxqhRoxg79uxnjDcVbeKer+8B4MnpTzKu1zhfh9huxN9RMNqA76/Yz2+/+C0As6Nn87db/4bb7eaGG27gnXfe6ZQCSZAaKWctc6tzfbqfxsZGVq5cCdFQSCEaNMwbNM+n++zojNaNhh+htqR1dtOnYsm6JayMXAm9QyKpvYhMf0FBy1wh8/Ly2L17NzqtjksuCa0fvIV6oKzJZCKGGABqpVpcLhe59lxsko0ITQQZYRlK75IYFCt6YQShfiTvIF4XnU6HyWhioGUgk7tN5tzu52LQGdBoNMqx7kzzkQRtqucpKirik08+oaCgAIfD0ey2p556yiuB+QrhcOfY5+CJR58IcDTByc8//0xxcTHG8UacvZ3YXXZMev+WFGQmHBdJHcnhzul0smTJEkDOIp3tw8LhdnD1x1fj9DiZO3Au95x/jz/CbBe1tlreMb4D98CeH4JLwNpddq7++GoanY30N/Qn654skGTzjBdffLHTn1nM7J7JdrZzxN5yp6628O2332Kz2YibFkcVVUzoPaHFLkhdlV+m/5K1f1tLtdT+AdnPr3sehkNPQ0/69u3rhei6LlE9ouBCWOVaddb77q/YzwfL5Qze+PHjiYuL83V4XQa1SAJI0CbQy9OLZJJxOp3ssMoZ2EHGQYSHhSv3EwNoxckvSZKUhXpnWqwHCq1W26z3S/R6mUwmxUxDCKTOaLfeapH03XffMWvWLPr06UN2djZDhgzh0KFDSJLUIWYFiDPg+/btC3AkwcuyZcvACK7JLq5YegV7f7OXgd0G+jUGtUjqSJmk5cuXU1RURLdu3Vp0hteoM/LarNf485o/89/Z/+0QH+qRpkgO2Q9BNGSXZiNJUkDjdrvdrFu3jtLSUqK7RdMvth8Hyg6Q83gOSLJYXbx4cYc4tu1lVNoo3q9+H6vWSr29nkhTpE/2IzLN+hHyV0hogOzZSU9PB9pfvl5lrSLbng1auHbUtd4IrUsTlRgF0+GA4+zW+b/75nd8Xvc5jAwNkPUFQiRptVp6GXtxs+1mtFotHo+HndadAAwxDlF6kCRJwmQyNSvz8ng8J2WVQrQPYYohBv5aLBal50scb3HMO5tIavW76KGHHuK+++5j165dmM1mPv74YwoLC5k4cSLz5wf/EEGRSTp48CDFNcWsyl9FSX1JgKMKLpYvXw59wKP10De273HB4kcyEzLRoAEN7NnbcUSSMGz41a9+hdlsbtFjpqRP4ftffk+UqWNYUWs1WvrF9wOg0dxIaWlpwGLJysoiLS2NyZMnc+2113Lp9Ev5+ravafxPI9TDAw880GUEEsCwAcOgUb6cX+ObXlK32y07X8ZCub4crUbL3EFzfbKvzkRaWhpEwKGmQ7jd7jZv581Nb8rf3GXw26t/67X4uioj+8jDuj1GDzW2mtPer9HRyMq8laABikMiyReIvhbhXAdy+X+ZvYxSdylatAwNH4rFYmmWtTAajcrjxWd9Z1usBxIx98hgMGA0GjGbzWg0GuVzTGSZOmP2rtUiad++fdxwww2AnOa0Wq1ERETwt7/9jSeeCP7ytZSUFMLCwnA6nSz4YAFT35zK5zmfBzqsoCE7O5vs7Gw0A+U3+uX9Lw/Imz4lKoWS35bA81BcVExtbfvr+H3N1q1bWb9+PXq9nl/96ldnvO/aQ2vJqcxRfu9oHywDEgbIF+IDl5XNyspi3rx5FBUVgfH49fV19VAHV111FY899liHO7btISMjA14D47+NDOnmGwvwDRs2UFFRgWWMbJ8+OW0y3cPbb2nd2SnRlMB94LraRUlJ20/MvfbjawCk1KfQu3docG97yeyTqZxYyD5y+h7Lb/O+xe62QzUM6jYoVOboA8RCXPQZAXjwsKVxCwDp+nTiw+IxGo1KWd2J9w+V2nkfvV6P0WhUjqm6pFFklDrbfCRBq0VSeHi40oeUnJxMbu7xBuGKigrvReYjtFqtUnIX744HQg53apYvXw4aMAyUz+Jc1v+ygMSh0WhISkiiRw/ZlrUjlEeKLNL8+fOVuE/F4ZrDzPlwDmNeHsPPJS0bYBhsZMRlyBfiA2Pe4Ha7WbhwIZIkyWd2rwWuAlTJuw0bNijzNboKvXr1wlBvwNHgoLCw0Cf7EKV2M3vM5NmLn2XR+Yt8sp/Ohsi+EgXZB9v2N1Nvr2ePTf6+unZkqNTOG0RHR6Otl5dCW3O3nvZ+n+yXByezH66YfYUfIut6KAYBJhMWi4WP+Ii/83c0aLgh/Aamh09XMk2SJGEwGJTeJOFsJxbuIbyH2rlOkiQkSVJ+F+JIlNx1Nlr9Tjr//PNZv349AJdccgm/+93v+Mc//sHNN9/M+ed3jHlDQiTpq+UXNCSS5EXnmjVrePXVV6EHOIwOokxRjO89PqBxDR48GAh+84by8nLee+894My233aXnfkfzafKWsWAhAEM7T7UXyF6lf7x/eULcYERsOvWrZMzSABpx376AWHH71NYWMi6dev8Hlsg0ev19OnTB4ADB87eY9FaJElSRNLVl17NXefdFbATKR2NhLAEdG65BGhL7pY2beOtjW8h6SSohLsXBO9Mwo5GuDMcgD3Fp14LuD1uPsv5TP4lO1Rq5yvU5g1arRYdOiQkDtgOEK2NZrhlOFFRUcpiXJ15UoujkEjyLsKW3WAwEBERQXS0PMNK9COJcrzOWOLYatn31FNP0dDQAMBf//pXGhoa+OCDD8jIyAh6ZzuB6EuyFdigB+wp79oiKSsri4ULFx5fdE6R/xtiHoJRZzz9A33MZzmfsfu83aALfvOGl19+GYfDwbnnnnvGkwX3fn0vm0s2E2eJ46P5H/ndNdBbNMsk7fJ/JqlZH5TQmTuBqjPcr4uQNDSJ/Rn7eWLbE0ybNs2r287OzubAgQMYjUYuvvhir267s6PRaIj2RFOlq2J30e42bWPTxk1wBFLtqfTs2dPLEXZd4nRx1FPPgaOnPrGwsWgjR5uOghUSHYmcc845fo6w6yBE0nb7drKRv1u22Lewxb6F2KZY7oq5i2lR05TMhXqRLh4fEkneRVh7Cyc7YZABx90FO+txb7VIEmcpQS69+7//+z+vBuQPRCapbHcZ9IDShlKqrdXEWmIDHJn/EX0dkiQdvzJJ/u/H138kq1cWc+bMCUhsNpeNUn0ppAR3JsnpdPLCCy8AZ84ivbPzHV74+QU0aHj7yrdJi0nzU4Tep398f7qZunG06ij79vs/k5ScfMxuWg8MOnblKeanKvfrQiSlJUEEbGrY5PVtf/KJXHLU/ZbuvJ/zPtcOvZZwY7jX99NZSTQmUiVVcaCybVm+fR/vg83w++d/7+XIujY9LD04zGGKGopOebtSancAZl06q1MuBoMBIXTWVazj+aPPn3R7tbuav2X/DYPewIzUGUpGSRg3QCiL5AuEa50ot3O5XIpg6sz9SNCOYbIOh4OioiIKCgqa/XQERCbpwO4DpEbJg+S6Yslds74ONe8CS4D9sGjRonY5MbUHtQ347j1tO/PqD5YuXUppaSlJSUmndXjcU76H2z+7HYA/TfgTMzNm+jNEr9MtvBs5v8qBN6GkqIS6ujq/7n/8+PGkpKTAAOQ+pBpA9fGj0WhITU1l/PjAlosGglFp8iiGek09dpfdq9tesWIFdIOixCJ++8VvcbgdZ39QCIXeMbLRQnFjcasfm5eXx+bNm9FqtVw17ypvh9aluTD2QngRxhSNOeXtvx/7e2LXxMJmmD17tp+j6zpoNBo8kocndz55xvs9d+A5PHgUMwF1JikkkryPEElCjHo8HuW4C5HUGUvtoA0iKScnh/Hjx2OxWOjduzfp6emkp6eTlpamzIEIdvr164dWq6Wuro5+UXIzbVcsuWvW13EiRwF7YPs6+sX1Q6vRghmKqov8vhBvKWrbb/UZLTVP/vgkTc4mZvSdwSMTH/FneD4jJiaGpCQ57bh//36/7lun0/HMM88cL7XbBRzT+uLLcvHixZ32g/tMjBowCuyAxrs24GVlZWzcuBHkNkEu6ndRl8y+t4eBifIJuipP1VnueTJPv/80GGDy5MkkJiZ6O7QuzaBeg6AMygrKTnl7wf4CqtdUE1YZxpQpU/wcXdfix+IfOWI98zDscns5O6p3KKVeohSss5Z8BRq1IFKX2onrOuN8JEGr30033XQTWq2Wzz77jC1btrB161a2bt3Ktm3b2Lr19M4wwYTJZFLsOydHTebly15mWh/v1u53BE7Zr3GKbGmg+jrMejPpMceEd0JwOtz99NNPbNy4EYPBcEbb71cuf4VHJjzCO3PeQaftPB8mAwcOBE1gXpvzJp8Hx1qj2Hn8+pSUFJYuXRqwMtFA079/f6iWL+cczTnznVvBp59+iiRJmEfLFoKhAbKt56LBF8GPYP3Zit3e8iyf0+3kxcYX4X4YP6frZUd9Ta9evQBO6wgpykxnzJiBxWLxW1xdkbLGUwvVE6l0VCrW1IKQQPINwiBDPbQXaFZm11mPfat7krZv386WLVuUvp6OSmZmJgcOHCCuPI7b5t8W6HACwkn9GkbgbuAQsAJwnuZ+fiQzIZPc6lxIkPuSzjvvvIDFcipEFunqq68+49ldo87IXyf/1V9h+YX/bf8fP437CSICYwP+ybJP4BsI6xfGJ+99Qnl5OcnJyYwfP77TntVqCSkpKWhrtXiSPPyc9zOzBnrHiWvFihWQCLZIGyadiVkDQg5frWXG4BmErQ+jqamJgoICea5VC3j3h3dxG93QCL+e/2sfR9n1SE1NhXPgYI+D5Ffnkx57vCrm7i/v5uM9H0NYqNTOH/SIOv34DDXdLd2VEjDRMtBZF+rBgMgmCftvt9vdbH5SZz32rX5WgwYN6hDzkM6G6EsKxOIuWFD6OgR9gAigB+AMjr4OdV9SsDnclZaW8uGHHwJw1113nXT7DwU/8Ptvfo/T7fR3aH7BqDPSqGuEBP//HUmSxCvPvwKb4JGhjzB16lSuueYaJk2a1KUFEsgLhVhJLoPbWbjzLPduGY2NjaxcuVIptZuZMZMoU5RXtt2V0Gg0Sll6fn7LSyGXrF4CQEpDCt27hQb3epuUlBQYBc6RTjYf2qxcX9FUwZLNSygZUoLGpOHSSy8NYJRdg/G9xtMj4sxCKdGcyLjUcaFSOz+hnoek0Whwu93NyuzUPWGdjVa/o5544gnuv/9+1qxZQ2VlJXV1dc1+OgoiE7Zv3z42FG7g5S0vU2urDXBU/kWn03HzzTcfv+LY6BtygqevY2DCQOK0ceAMHoc7MVPqzjvvxOl0cv75559kCVvWUMZVS6/i3xv+zRM/PBGgSH1LRvyxs+ABmJX0448/sm3bNsxmM7feeqtf990RSA2XDWkKq70zUPbbb7/FZrOhHyEXH4RK7dpOj4wekAK7ck9hx3gKPJKHbdZtAFw1NGTY4AvCwsIwWOUB6jsO71Cu/+LAF3gkDxyBCwdfSLdu3QIVYpdBp9XxxKQzf2cuylyE2WRWBslCKIvka9TDYtWiSfQldVZa/cymTZvGxo0bmTp1Kt27dyc2NpbY2FhiYmKIje04TbzqTNI1H1/DHZ/dwY6yHWd5VOfC7XazbNkyAMIjw5uJpGDp67h55M2smLwCvguOTFJWVhZpaWlMnjyZrKwsQDYzEZcBXB4X13x8DSX1JQxMGMii8xcFKFrfosxKioQDBQdwOv2XMbvvjftgFMy7fh7x8fF+229HYWLcRHgMLiy90CvbW7FiBZgh2ZJMpDEyNEC2HewcvBNuhfWF61t0/3e/fxeXxQU2eOCqB3wcXdclWpIHZO4vO25Cs2K/PDg5NEDWf2g0Gq4YcAWPDn2UWF3zNWV3U3f+MewfTOs5DYPBgNFoVEwEOvNCPRjQarUYDAYlayT6k4S7XWel1c9s9erVvojD74hMUnFxMTPiZnC49jB7yvcwofeEAEfmP9544w127dpFTEwMN791M09teYowbRjLX1nOlIlTgqJsSaPRMGiQPAinoKCA+vp6IiMjAxLLKWdKAdXV1cybN08RlY+sfoTVh1YTbgjn46s+JsIYEZB4fU20OZru4d0pbyzHHe0mNzfXL72KhYWFbDRthFnQb2Q/n++vIzI4YzDY4cCBts3jUeN2u/nss8/ABv+b+j/OufCcTvue9gc9LD0oc5WRV5PXovsvWbUEtNCzsSfd40Oldr6iu7E7FVRwqPoQIM/p+/rg1/KN+2H2S6F+JH8gjAGm9ZxGSkMKOfYcDLEGYvQxDI0eisVkwWw2YzabFae1UKmd7xE23+ofUXLXmY99q0XSxIkTfRGH3xH2xUeOHKG7Rv7i6UqzkhoaGvjjH/8IwKwHZ/HUlqcAeHHWi0wfPj2QoZ1EXFyc8lrt27ePc8891+8xnHamFCj10IsWLUI7UMtj6x8D4LVZrzGw20B/h+pX+sf3p7yxHOLlrKw/RNJfX/ordAONW8OiGYt8vr+OiDAE8IZI2rBhAxUVFcTGxjJ+/PhOfdbQH/SJ68O2/2/vvuOjqtLHj3+mZFIICSkQAkkIoSQhVIMUMYpIUZAOoitSNKxYwbr6XRd313UVXBV0FUEBu6AhCNj4IR0XEJAaQgokEkhCqGmkztzfH8MMEwHJhKmZ5/168SK59869z52TTOaZc85zivZcs8wxGNcj2VW+C5rCuIRxDojOc0U1jeIQhyioMFZz3ZCzgfKaciiBjgEdjVUjhd2ZkiRvb2+0Gi3xvvFEt4ymtrbWPA3A29sbLy8v82Ma85t0V2GZJJmSUsuy4I1Vg36yzp8/zxtvvEFycjLJycm89dZbFBe733we0xs63xJjSU9PSpLmzJlDYWEhbWPaUhBu/KPwVJ+nmNRtkpMju9wTPzzB2alnobPz5iX94ZpSGBOlvLI8Ji6fCMATvZ5gQufGP2/DPOQuxDHzkiorK/ki7QsA+gT1IdAn0O7XdEcdOnSAW+DITUfYmlu/YV1Xs3LlSmgKt424TRIkG0hoZax+cU517prH7tu3j9rFtWjXa3lh/Av2Ds2jdWhhfC0zrWG1KsNY9psMGDVylJOi8kwqlQqdTlenl8JUoEGj0eDt7S1V7ZxAo9HUKeAgSdIV7Nq1i3bt2vHWW29x9uxZzp49y5tvvkm7du3cZp0kE9O8pJp841wKT1lQ9vjx4/znP/8BYM7sOXx737fMu2Meswe5ZoGBCzUXqPauNpcBd4Z6rRUVYpyP1DeiL68Pft3+QbmAnq16Ek00lDimwt2XS7+kol0FAM8Oedbu13NXrVq1Qt1GDe1g46GNDT6PoijGJKkvrGi7gn9u+qftgvRQPdv1BKCmSQ1lZWV/eOyyZcvgHIwIHUFYsCwga0+dIzoDUKmtpKKmAr1Bb1wGI0PmIzmaWq3Gx8fHXHLaYDCYR2x4eXmZh9pJVTvHsUyQLOclucK0DHuy+ifrySefZMSIEeTm5pKamkpqaio5OTncddddzJw50w4h2o+pJ+n0YWNJ81MXTnGq/JQzQ3KIF198kYqKCvr168fYsWPRaXQ80fsJtGrX/JQ4PvTikDUnlgGv11pR2bAgcQFfjf8KnUZ37eMbgUdufIT/dP4P7LF/kqQoCq8ufRWagi++DIuVcrxXo1KpzGXA9+btbfB5Dh8+TFZ2FiSAgkKXFl1sFKHn6tza+GacZnDk6JGrHqcoijFJAiZMaPy90s4W1yYO5kP00mh8vXy5x/8emA2hpaH06dPH2eF5FFORAC8vL3MvhanstI+PD35+fnWOFY5h6sUztYspaWrMGtST9Je//KXOsAutVstzzz3Hrl27bBqcvZl6krIPZdO2mXHtisY+5G7Pnj188sknMAza/LkNekXv7JCuyXKtJGf1JF22ppQl9aU1pSbeMZGIgKsc10iZfo/S09OvOGfLVrZt20aWr3GOzYSECR6TiDZUa7/WAGSdbvi8pFWrVkFrIBD8df7c2eFOG0XnuSIDI8EAaOHXrKuPvkjZkEJun1x0iTpZn8cBoqKi4CTkH83HYDAYe1BrYfjQ4Y3+03JXY+oxMg3pMiVKarUaX19fcw+TaZuwP8uKdgaDwdyL1JiH2kEDkqSAgACOHTt22fa8vDynVR1rKFNPUnZ2Nm8OepP1k9aTGJ7o5KjsR1EUnn76aZQbFLgRvsz5ku3Htzs7rGsyJ0khkPtb7jWHqNiDRqNh3rx5l+9oCTwOSpTi9DWlnKVdu3aovdWUlpfWb1hiA7399tugA5WiIrmXrI10LR1DjRPN8yvyG3yOlStXwsWOj5GxI/HR+tgiNI+mVWvpdKoTfA+Fx65evGHe2nkQByG3hdCkSRMHRuiZWrdujUqlorq6mr05e40fECBD7ZzBlCR5e3ujVqvR6/UoimIeamc6RobaOY7p+QbMc8M84fm3+u4mTJjAgw8+yLJly8jLyyMvL4+lS5eSnJzMvffea48Y7SYiIoImTZpQW1tLnDqO29reRlNv90r0rLF69Wo2HNkAQ43f/2vAv7g56mbnBlUP0c2ijb0GXkCgY+a+XMll1Y18gLuBILjxiRudvqaUswz4fACG5w3Qyn7FG06cOMHy5cvhK1hzxxpuirzJLtdpTLpFdQOMBQIa0sN38uRJtm3fBsYK/LKArA0NbTIUfoGTv5284n6DwcAvpb8AMDputCND81heXl4EJQbBnyDxs0Ry78jF28+bQYNcq9qrJzD1IJnW5bEcamdKkkB6kRzNy8urzpykxl60ARqQJP3nP/9hzJgxTJo0iejoaKKjo5kyZQrjxo1j9mzXnPh/NSqVytyb5Kw33o5SU1PDzJdmwgRAY3zD88LN7lEtSaPW0DHkYoLixHlJixYtAmDUqFGsX7+exJcTIRiiA6P58eEfnRKTK/DR+oAKcxlwe3j//fepra0lKSmJQX0GNfoXZlvoE9sHFNBr9Zy6YP1cy9WrV0MUEACB3oEMbjfY9kF6qLZtjcO7c3Jyrrh/xfoV1DSvAQP8ZZQsIOsoTdpZLKpeCYMGDJJePCcwJUmWJac1Gg0+Pj54e3vLUDsnsOy5M/X0ecLIGat/wnQ6HfPmzePcuXPs3buXvXv3cvbsWd566y28vb3tEaNdmZKk/Yf28/Hej5m1YZZd51U4yzvvv0NO7xxoAl2ad2HRiEVu9Ubz5sibaV3dGvTOmZdUWVlpnMsFTJs2jZ26newu341OoyPl7hSCfYMdHpOr6Bh88V2FnZKkqqoq5i+eD03hiSeesPn5G6vOcZ2hBLgAeWfzrH78qlWrwFitmtHxo/HWut/ru6sKiwqDCEgrvvIHPvP+n3Fob1hVGFEhUY4MzaOF+1kU6MmA4cOHOy8YD2Z6b+Lr64tWqzUPtdPpdOb9njDUy9VYFtKw/Loxa3A5Mz8/P7p0cf9KR6ZJ5xmZGfyj9h8YFAOP3vgoYf6Np9zq+fPneWHbCxAL/ip/vr3vW5ro3OvTsfl3zadrXlceyXnEKT1J33zzDWfPniUiIoKOvToy4j3jOPV37nyHxFaNdx5bfZh7+ey0VtKyZcs40+oMDIP1PusZhyyqWR9hYWH4f+RP2bky/Kb4XfsBFsrLy1m7di0ALz/8MoN7SC+SLeV65UIy5OTlmMsYm+j1eraXbIcmMLLjSOcF6WFSU1M58PMBaHNxQwb8/e9/JzQ01GOHUjuT5XpIWq3WPNROUZQ66ycJxzENgbQcctfY1StJGjNmDB999BEBAQHXfLFITU21SWCOYupJyjqURUxiDNlns0k7ldaokqR///vfVO+rRt1WzeoHVxMV6J6fTHbqZJwc4YyepA8//BCABx54gE8PfIpe0TOg7QCm3TDN4bG4mg4hFxeUDYbD/7NtT5KiKMaCDd0AFbQPaW/T8zdmKpWKjm078uu5X8nKyjJ/IFQfa9eupbKykujoaP467K8e8cfQkXq27wnbwRBg4MyZM4SGhpr3rVy3kpqWxrX7nhvxnLNC9CipqamMGzcORaNAPnAOOAuFqkLGjRtHSkqKJEoOplar0el05vV5dDqdOUmSXiTn0Gg0+Pr6esx8JKjncLvAwEDzkxEQEEBgYOBV/7kb0xuHw4cPk9DcOLakMS0qm5OTY6zKdgi+7PUl/WP6OzukBktISAAv4z2Vl5c77LpHjhxh3bp1qFQqpk6dSm5xLgDJPZI94kXiWix7kk6cOEFJSYnNzr19+3Z2H90NUaBWqbmn8z02O7cn6NDBmMBmZmZa9biVK1cCMHLkSPkZt4O4sIsVOwMg80jdtlm6einkQfOq5rQLbeeE6DyLXq9nxowZxmH2tcBC4GvjPtPQ+5kzZ6LXu/5yGY2JSqVCp9Ph6+uLj48PXl5e5qVnJElyDlMZcFMpcE/421CvnqQlS5aYv/7oo4/sFYtTtG/fHo1GQ2lpKVE+xh6WxrJWUuaZTJ5+8Wmqq6u5/fbbGT9ivLNDarCq2ioSP0uEvwKzjUltYqJjhrktXrwYgEGDBhEdHc3H0R/z91v/TnjTeiww6wHaNmuLRqVBr9NDU8jIyODGG2+0ybnfeecduDiq9/a2t9OqaSubnNdTNO3QFCbC/NPzeYZn6vUYvV7P6u9Ww0SoSqyioqYCXy9fO0fqWVo0aYFar8agMbAzayc39TZWa6ytrWXjso1wChb/sNi5QXqILVu2cPz48avuVxSFvLw8tmzZQv/+/R0XmIczFQfQarV4eXmZF5CVoXbOY1rk15QgeUKSZPVP2oABAzh//vxl20tKShgwYIAtYnIonU5Hu3bGT+v8K/yBxpEknas4x8DFA/k2/FsIhzfeeMOtf6C9td4YFIPxmxDHDbmrra01f0gwbdqloXVtg9rKmjEXeWm8GNtpLC0LWoLadsUb8vPz+errr6Cr8fv7utxnk/N6kqioKGgPeZr6F27Ytm0bZwLOQHtYXrgcL42XHSP0TCqViqa1xuUm9h/bb96+YcMGTp06RWhoKHcMvMNZ4XmU+q7tZs814MTl1Go13t7e5iRJp9PJUDsns0yM3Pn9pDWs/knbuHEj1dXVl22vrKxky5YtNgnK0UzzkgwnjW/C04rS3LrCnd6g597l95J3IQ/0cO+we+nWrZuzw7pu5kVlmzuuDPj3339PQUEBoaGhDLhjAIVlV1/80ZMtG7eM0erRUGy74g0LFixA31wPoeCr9WV0vKwXY62+cX0BqNHVUFpVWq/HrFy50lzVbmz8WLTqBtf3EX+ghVcLALJOZ5m3fZDyAfjC2LFjzUOLhH2Fh9dvREB9jxO2YTm0S6fTmZMkjUYjSZIL8JQ2qPdd7t+/n/37jZ94HTp0yPz9/v372bNnD4sWLaJ169Z2C9SeTPOSzmefR61Sc67ynFu/GX7+p+dZc2QN1IDPNz785x//cXZINhEfenHieajjepJMBRsmT55MSkYKEW9G8NSapxxybXdjyzXHqqqqeP/99829SCNiRxDgHXDd5/U03eO7w8XpewfzD17zeEVR+Gb1N3DxV21CZ1lA1l6iAozDu/PKjL181dXVfFPxDTwLAbfKz7qjJCUlERERcdVPxlUqFZGRkSQlJTk4Ms+mVqvRarU0bdqUgIAA8zA7T3lz7oosf0c8pSep3h9Vde/e3dzVdqVhdb6+vsb5A27IXOEuPYv1z6wnJiiGlv4tnRxVw3y671P+s+1iUvQNPD/leVq1ahzzOMw9SaGQtsP+PUknTpzgu+++AyA5OZmpP09Fr+hp3dQ9Pwywt3ax7aCpbXqSvv76a4qKigjPCOef//onCWEJNojQ84SEhKAp0aBvomdbxjb6tu37h8cfPnyYbEM2+EJYkzCSouSNob3cFXMX62avQ4+xIMDqNaupiaoBNdx7671Ojs5zaDQa5s2bx7hx41CpVHVGkZjeCM6dO9cjFs50JaZhdU2aNJGhdi5IkqTfyckxrucQExPDL7/8QvPmzc37dDodLVq0cNsXEcsKd7dG3+rkaBpu54mdTFt9cd7MZmh1rhXPPFO/ydruwDJJysnJ4cKFC+bJnPbw0UcfYTAYuPnmm1FCFLYf345GpWFi14l2u6a72vzbZkbsGAGTIHtBNjU1NXh5NWwui6IoxoqMwKPJj5LcM9mWoXoUlUpFoCGQs5xl7297r3m85QKy4zuNR6N2z9d0dzCqxyie3PEkJ3UnMRgMvP3929ASAvWBdA/v7uzwPMqYMWNISUlhxowZdYo4REREMHfuXCn/7SSmtXj0ej1arVaG2jmZ5XwkSZJ+p00b4wprBoPBbsE4i6knKT8/n+LiYrcsZQ7w0saXqNJXoT2ipXZDLa8sfoUmTdxr0dg/Yk6SgkBRKxw+fJgbbrjBLtcyGAwsWrQIMPYiLdlrLN4wrOOwRrWGlq1EBUYZC2sEQa2+lqNHjxIbG9ugc+3YsYNdu3bh7e3Nn//8ZxtH6nla+bTiLGfJOJVxzWNXrF4BFzuPZKidfUVERKDRaKiuriYnJ4f/nf8ftIRhMcM85g2IKxkzZgwjR45ky5YtFBQUEB4eTlJSktt++NsYaDSaOouWSls4l6nioCe9PjV4ZuihQ4c4duzYZUUcRowYcd1BOVpgYCDh4eEUFBSwae8mdhl2oTfoeeX2V5wdmlW+Gv8VSbOS2PvVXrp3686kSZOcHZJNhfuHMzBmIAe3HqTQq5BDhw7ZLUnasGEDOTk5BAQEMHrsaJ5f8DwAU7tPtcv13F1kQCTeGm+qqIJA45C7hiZJ77zzDnhB4JOBfJb9GY8GP4pOo7NxxJ6jfXB7DlYcpET/x+tXnTx5kh37d0BriO4TzU2RNzkoQs+k1WoJuyGM/Ip83pz/JrVtawF47PbHnByZ59JoNFLm28WYEiOVSiVJkgvwtJ48q5Oko0ePMnr0aA4cOFBn/K4ps3TXBdfi4uIoKChgf+Z+Xs5/mUDvQP414F9ulTEfP3qcA/85AHpjye/G9sOsUqlYe/9aHtn2CPMr59u1wt0HH3wAwH333cfm/M0UlhXS3K85wzoMs9s13ZlGraFdcDsOnToEIQ0v3lBQUMBXX30FcVDkU8Q7v7zDzD4zbRushxnTfgzf3P8NLW5p8YfHrV69Gkqh59GebP9yO2pV43r9cEWnBp0CHSzYtABuBX+DP70jejs7LCFcguV7GCnaIJzB6p+4GTNm0LZtW4qKivDz8yMtLY3NmzfTs2dPNm7caIcQHcM0L6n4aDEalYbiqmLyS/OdHNW1vbPjHV7b+hqKovDcc8+h1+u566673HLNqvrq1KkTYL8Kd6dPn2bFihWAcW2kT/Z9AsDErhNlzZg/0DGko/GLkIYXb1iwYAG1tbUE3RoEGNdGcqcPKlxRbEdjj15WVtYfHrdq1SoARo4cKXORHCA1NRX9GeOHivpeF/8/qOebFd84MSohXIdlUiQl8YUzWP1Tt23bNtavX09oaKg5s7/55pt59dVXeeKJJ9izZ4894rQ7ywp37Qe2J+NMBmmn0mgd4LqVzNYdXceTa55Er+jRF+pZvXo1Go2G119/3dmh2VWH+A4QYL+1kj777DOqq6u54YYb6NGjBwviFtA/uj8D2jbexNMWOgR3MH7RwJ6k6upqY9lvPyhuXgzAfV1lAdnr1aGDsV0KCgooKyvD39//smPKy8tZ8+saCDEmScK+UlNTGTduHMpYBcKB3cA5qMivYNyKcaSkpEixAOHxLD8gk6F2whms7knS6/U0bWpcKTw0NJT8fGNvS5s2bcjIuPbEYFdlWeEuoYWxvFNakWMWLG2II2ePMP7r8egVPRO7TCTl3ykATJ8+3ZzwNUY/Zv/InVvvhAnGoZ8VFRU2Pb+iKOahdsnJxqpqQb5BPHLjI5cKR4grMvckBRt/j6xdkPnrr7/m5MmTBPYLxICBnq16ynNuA0FBQfiM9oHH4JP/fXLFY9auXUt132p4HH4s+dHBEXoWvV7PjBkzjL8f5y5u9MKYKBUYv505c6bbDl0XwlZMPUmmNZOEcDSrk6TOnTuzb98+AHr37s2cOXP4+eef+ec//0lMTIzNA3QUU2KRnZ1NXLDx67RTrpkklVaVMnLpSM5VnuPGVjdyS/Et7N2zl4CAAF566SVnh2dXbQLboKBAc2NCY+vEfPv27Rw6dAhfX1/+9Kc/2fTcjV1ieCJ/SvgTqiwVJSUlFBQUWPX4t99+G4CAfsaFNO/rIr1ItuIX5gehsPPozivuT1mVAhdz3Nva3ubAyDzPli1bLpWZPn9xY9Cl/YqikJeXx5YtWxwdmhAuRa1W4+vri6+vr7NDER7K6iTpxRdfNJcB/+c//0lOTg5JSUl8//335jc57qh169b4+/uj1+sJ0YcArpkkGRQDk76ZRNqpNML9w/l8+Of8/cW/A/DXv/61zvpVjVG74HZoVBrQAU1tP+Tuww8/BODuu+/myIUj9PmwD0v2LLHpNRqrHuE9+Hzc57Q/1x6wbsjdjh07+OWXX/AK8yKPPNQqNfd0vsdeoXqccJ9wgCuWAdfr9axKXwU643GJ4YmODs+j1Pnw4PzF/zti7E262nFCeCgvLy8Zaiecxur+yyFDhpi/bt++PYcPH+bs2bMEBQW59QRrlUpFXFwcu3btQn3GmDsePXfUvMqzq/jHxn/wzeFv0Gl0pE5I5cuFX5Kfn0+bNm144oknnB2e3ek0OtoFtyPzTCaE2rZ4Q0lJCUuXLgUuro20Zwk7TuygTbM2TO0hpb/rKz4+nqysLNLT0+tdQOSdd94B4M677sQr3osaQw0t/VvaM0yP0i6oHWlKGnlleZft27ZtG6VRpQBM7DHRpV7vGqPw8PBL35yy2GH4g+OEEEI4nE3qKQYHBzeKP6ymeUmlOaVkPpZJ/lP5LndfrZq2QqvWsuCuBbTRtGHOnDkAvPbaa/j4+Dg5Oscwz1MJtW1P0tKlS7lw4QJxcXH07N2TLw5+AcAD3R+w2TUauxp9DS3iW0CT+vckFRYWGst+A7MenkXK3Sl8M+EbO0bpebpEdAHgjOHMZfu+Xvk1XKy58aeuMsTU3pKSkoiIiDD+bSkBFgPvAhenIKlUKiIjI0lKSnJilEIIIazuSSovL+e1115j3bp1FBUVmYfemRw9etRmwTmaaV5S5uFMOoR0cHI0V/ZQz4cY1G4QMUExJCcnU15eTp8+fZgwYYKzQ3OYuJA4VrHK5j1JpqF2ycnJrM5czdmKs0QERDAwZqDNrtHYTfpmEkt9l0LX+idJCxYsoKamhr59+5KYaBzq5WofTri7Ph37QB5U+FagN+jNJb4VRWHZvmXQD8J14XQL6+bkSBs/jUbDvHnzGDdunHGtwWOXCpyYfu7nzp0rQ4yEEMLJrE6SkpOT2bRpE/fffz/h4eGN6s2MZYU7V2JQDKhQmZ/rmKAY9u3bx+LFiwHjwrGNqR2uxbIn6ciaI1RWVl53L9q+ffvYuXMnXl5eTJo0icn/bzIAk7pOkjVjrNA+yDgfiRBI33PttZLMZb+BWx64hawzWS77AYU7u7nLzfD/AA2kn0inc2RnwPhad7LZSUCG2jnSmDFjSElJYcaMGZeKOAARERHMnTtXyn8LIYQLsDpJ+uGHH/juu+/o16+fPeJxKlNP0uHDh9mcu5n3d79PbEgsL/V3bsW4j/d+zLwd8/i/pP/j7oS7URSFZ555BkVRGD9+PDfddJNT43O0nq16MrnbZL5e/zUXDBfIyMigW7fr+wTc1Is0atQoqr2rWXNkDQBTuk+53nA9iuWCsidOnKC0tNS8ZMCVpKSkUFhYSMvWLVl8bjGz/zubzVM2k9RGhhrZUrPAZmhPa6nV15KWnWZOklatWgUroIe2B9OfmO7kKD3LmDFjGDlyJFu2bKGgoIDw8HCSkpKkB0kIIVyE1XOSgoKCCA4OtkcsTte+fXu0Wi1lZWUcyjvElwe/5Pvs750dFgt2L2DfyX3knMsBjInqTz/9hE6n47XXXnNydI7XJawLH436iBsMNwDXPy+poqKCzz77DDD2lH66/1MMioGbo26WXg0rmZ4vdXPjS8u1emVNBRsG/nkgpy6corlfc/pG9rVvkB6qz4E+sBAMhZeGSK9cuRJqYVrSNGKC3HcJB3el0Wjo378/9957L/3795cESQghXIjVSdLLL7/MrFmzuHDhgj3icSovLy/atWsHgPassZPt0KlDVi+KaUt7C/ey48QOvNReTO0xldraWp555hkAHn/8cbdem+p6derUCbj+eUnLly/n/PnztGnThoEDB5IYnsjQDkNJ7pFsizA9iqknyeBvAK8/TpJ++eUXtm/fjk6no6K9cVHgezrfg1YtiwbaQ4cOxgQ2KysLgJMnT7J9+3YARowY4bS4hBBCCFdk9buRN954gyNHjhAWFkZ0dDReXnUXd/j1119tFpwzxMfHk5GRQdlvZXipvSirLuNY8THaNGvjlHgW7FoAwOj40bRo0oL333+f9PR0QkJCePHFF50Skyuo0dcQEhsCAdffk2Qaavfggw+iVqsZ1G4Qg9oNskWYHifYN5hg32DOVpyF4D9Okky9SGPuGcOq3FWALCBrT6YkKTMrE4ClK5eiTFcILw4nLDzMmaEJIYQQLsfqJGnUqFF2CMN1WFa469i5I2mn0kg7leaUJKm0qpTPDhiHgfXW9Gbx4sU8//zzALz00ks0a9bM4TG5isd/eJwFpQsg8fp6kjIzM9m0aRNqtZopU6bYLkAP1jGkI9uPbzcWb0i/cvGGwsJCli1bBkCn0Z1Yum8p7YLa0at1L0eG6lFUESp4FFZqVwKwZNsSiAZDmEF674QQQojfseovY21tLSqVigceeICIiAh7xeRUlhXuEgYkGJOkojSGdhjq8Fi+PPglZdVlaM9reXrM0+btWq2WsDDP/uQ3NiTW+EUoZG/KpqqqCm9vb6vPs2jRIgDuuOMOQlqG8MrmV5jYdaLTeg4bg0ldJ9GOdnx++nMOK1fuSVq4cCE1NTX06dOHbeXbAJjYVaqr2VNs21g4CmXVZZSVlXHAcACA8Z3GOzkyIYQQwvVYNSdJq9Xy+uuvU1tba694nM7Uk5Senk5C8wQA0k7ZbsFSa8z+aTYAtTvqPt+1tbXcc889pKamOiMsl2AqA64OU2MwGMjIyLD6HDU1NXz00UcATJs2jeWHlvPihhcZ+OlAp85Dc3cP3/gwrw5+FYqM819qamrq7Lcs+/3QYw+x48QOQIba2dstXW4BBdDB3M/nYog2FnB4/LbHnRuYEEII4YKsLtwwYMAANm3aZI9YXIIpSSosLCTaLxqtWsuFGscXqaitraV4ZTGkA/uufMzMmTPR6/UOjctVxDc39vgpwQqoGjbk7ttvv6WoqIiwsDCGDRvG4r3GdacmdZ0kPRrXKSIigiZNmlBbW3vZAtPLly+noKCAli1b8qfxf+L4k8dZM3GNVBK0s5DAEDTlxuppb2x7A9TQvLY5HUM7OjkyIYQQwvVYPRD9zjvv5Pnnn+fAgQMkJibSpEmTOvvdvUpSQEAArVq1Ij8/n+iaaMr/rxydRufwOLZu3cqZbWdg25X3K4pCXl4eW7ZsoX///g6NzRVEBUbho/WhsrYSghpWvOGDDz4AYMqUKeSV5bExdyMqVEzuPtnW4XoUg2Ig93wurW5uRdaaLA4fPkxsbKx5v6lgw8MPP4xOZ/zdGtxusFNi9TT+Nf4UU8z5tucBGNHOvV+vhRBCCHuxOkl65JFHAHjzzTcv26dSqRpFz0Z8fDz5+fkczTzKLTfd4pQYCgoKbHpcY6NWqYkNiWXfyX0Qan1PUl5eHj/++CNgrGr38d6PAbg95naiAqNsHq8nKa8up93b7aAvsMk4dHXkyJEA7Nq1i23btuHl5cXkByejKIr02jlIamoq5XnlEHRp27ezvyU1IJUxY8Y4LzAhhBDCBVk93M5gMFz1X2NIkKDuvCRn+Gz/Z3xX+R0EXvvY8PBw+wfkokzzkgi1vidpyZIlKIpC//79ade+HR/vMyZJU7tPtXWYHqepd1PC/S/+XP6uDLipF2nChAkszlxM3LtxLD241BlhepTU1FTGjRtHbZHF/MYjUJRRxLhx4zx6fqMQQghxJVYnSZYqKyttFYdLsaxwt2DXAnp90It3drzjkGsrisKcn+fw+bHPCewTeNVP2VUqFZGRkSQlJTkkLlc0vtN4nkl8BnIhO9tY4a4+9Hq9uapdcnIyG3I28FvxbwR6BzI6brQdI/Yc5vlFFmXAi4qKWLrUmBA99thjfHbgMzLPZGJQDM4K0yPo9XpmzJhhLEZyCigANgGfYi5Q4snzG4UQQogrsTpJ0uv1vPzyy7Ru3Rp/f3/zpOy//e1v5jee7s6yJ+nUhVPszN/JzvydDrn29uPbOVB0AB+tD28/+PYVq6yZEqe5c+ei0WgcEpcrGttpLHOGzSGwPBC9Xk9mZma9HvfTTz9x7NgxgoKCGDt2LEfPHaWJVxPu7Xwvvl6+do7aM3QMvlgMIMT4YYOiKCxcuJDq6mp69+6N0loxP+8jY0c6N9hGbsuWLRw/ftz4TQawANhwab/l/EYhhBBCGFmdJL3yyit89NFHzJkzxzzpGqBz5858+OGHNg3OWUw9SUePHqVjM+ObPUeVAV+wewEAExImMGn8pCuuRxUREUFKSorMI8CYMHbq1Amo/7wk08/pxIkT8fHxYVriNAqfKeTv/f9urzA9jqknSRWqoqSkhGPHjjF//nwAHn/8cT7bb1wkeXT8aJromlz1POL6yfxGIYQQwnpWF2745JNPWLhwIbfffjvTp083b+/WrVuduQfuLDw8nKZNm1JaWop/hT8A6afSMSgG1KrrGqH4h85VnGNZ2jIApveczsGDBzl+/DheXl6kpqZSWlpKeHg4SUlJHt2DZOnI2SP43+APu+s3L6moqIiVK1cCxqF2Jv46f/x1/naL09N0DDF+uKAL11FFFQ888AD5+fmEhYUxaswoZv53JiBrIzlCfectevL8RiGEEOL3rE6STpw4Qfv27S/bbjAYLls00l2pVCri4+P55ZdfKMsrw1vjTUVtBTnncmgX3M5u1/1k3ydU1lbSNawrvVv35qWFLwFwxx13cNddd9ntuu7s9k9u57fmv0HL+vUkffLJJ9TU1NCrVy+6du3KoVOHiA+NlwprNtYh2NiTVNXEOE9s/fr1AFRUVPDvZf/m9IXTtGjSgoExA50Wo6dISkoiIiKCEydOXHX4bkREhEfPbxRCCCF+z+pukU6dOl1x7HpKSgo9evSwSVCuwDQvKSsjy1xFzZ5D7hRFMQ+1eyjxIQCWLTP2Kk2YMMFu13V31lS4UxTFPNQuOTmZ9FPpJLyXQM8PelKjbxwJvqs4sPkAbAZ+ACzyz9LSUv797b8BuCfhHrRqqz+nEVbSaDTMmzcP4LIPA2R+oxBCCHFlVidJs2bN4rHHHmP27NkYDAZSU1OZNm0ar7zyCrNmzbJHjE5hmpeUnp5OQosEANKK7JckVdRWcFv0bYT7h3Nfl/vYv38/mZmZeHt7M3z4cLtd191ZJklZWVlUV1df9ditW7eSkZFBkyZNuOeee1iydwkAEQEReGm8HBGuR9Dr9Tz75LOwHtgHWHReKIoCu8Ev00+G2jnQmDFjSElJoXXr1nW2y/xGIYQQ4sqsTpJGjhzJ6tWr+emnn2jSpAmzZs0iPT2d1atXM2jQIHvE6BSmnqTDhw/TpUUXYoJi8NZ62+16fl5+vDvsXY49eYxAn0C++uorAIYOHUpAQIDdruvuTEmStqUWvV5PVlbWVY819SLdc889+Dbx5dP9nwKyNpKt1ammdiW5cOGLC1zIvuCwmIQxUcrNzWXDhg188cUXbNiwgZycHEmQhBBCiCto0FiXpKQk1q5da+tYXIrlWknP9n2W529+3iHX1aq1KIpiHmp39913O+S67sqUJGnCNNRSS1paGgkJCZcdd/78eb7++mvAONTux+wfKSwrpLlfc4Z1GObQmBs7c5U0P6AlUAWc+IPjhMNoNBr69+/v7DCEEEIIl2d1T1JMTAxnzpy5bPv58+eJiYmxSVCuICYmBq1WS3l5Ofn5+Xa91o/ZP/K/vP+ZJ1Xv2bOHI0eO4OvrKwUbrsGUJFX7VYP26sUbvvjiCyoqKujcuTO9e/c2D7Wb2HWiDLWzMXOVtC7AJKDfxR3+wBAg/HfHCSGEEEK4GKuTpNzc3CuuzF5VVcWJE1f4uNhNeXl50aGDsUJXeno6YJxPYVAMNr2Ooig88cMT9Fvcj6UHlwKXCjYMGzYMf38pS/1HwpqEEegdiKJSIPjqxRssCzacqTjD6ozVgAy1swdTNTXOXtwQcvH/zkBfYChERkZKNTUhhBBCuKx6D7dbtWqV+es1a9YQGBho/l6v17Nu3Tqio6NtGpyzxcXFkZ6ezuHDh0mpSiHlUAqLRixidPxom11jQ+4Gss5m0VTXlLs63oWiKOb5SDLU7tpUKhWzB87m6OGjzCmdc8WepF9//ZU9e/ag0+mYOHEiX6V9RY2hhsTwRLqEdXFC1I2bqZra2GljjRuCMVa463rxgANSTU0IIYQQrq3eSdKoUaMA45vSyZMn19nn5eVFdHQ0b7zxhk2Dc7b4+HhWrFhBeno6lZGVnKs8R9qpNJsmSaay3/d1uY+m3k3ZuXMnubm5+Pn5MWyYzJWpj4d6PkReWB5zKuaQmZlJdXU1Op3OvP+DDz4AYOzYsYSEhDAtaBptmrVBo5I36fYyZswYvlK+4u79d4MX0BZoBRhg8dOLpViAEEIIIVxavYfbGQwGDAYDUVFRFBUVmb83GAxUVVWRkZHR6ObPWFa4S2h+sQy4DddKKiovYkX6CgCm95wOXBpqN3z4cPz8/Gx2rcYuIiICf39/amtryc7ONm8vLy/niy++AIxD7cBYHGNoh6EMaT/EKbF6ivFjx9MxtCMAHf5sHLo6LHYYU++WIY5CCCGEcG1Wz0nKyckhNDTUHrG4HHuvlbRkzxJqDDX0bt2bbi27yVC7BiqvLmft0bW0GNgCqDsvKSUlhZKSEmJiYqSqlxOYkqSsSmNp9oldJzozHCGEEEKIemlQCfB169axbt06c4+SpcWLF9f7PPPnz2f+/Pnk5uYCkJCQwKxZs7jzzjsBqKys5Omnn2bp0qVUVVUxZMgQ3nvvPcLCwhoSttViY2MBOHnyJBG6CAAyzmRQa6hFq27QU2dmUAws/HUhAA8lPgTA9u3bycvLw9/f3/wciGs7XnKcIZ8NQdtVCyvrVrgzDbVLTk6mxlBDr4W9GNp+KH+95a/466Qohr11CO5g/tpf58+I2BFOjEYIIYQQon6s7kn6xz/+weDBg1m3bh2nT5/m3Llzdf5ZIyIigtdee43du3eza9cuBgwYwMiRI809AU8++SSrV6/m66+/ZtOmTeTn5zt0LkPTpk2NVbqA8vxy/Lz8qNZXk302+xqPvLa84jwMioFA70AmdJ4AYO5FGjFiBL6+vtd9DU8RExSDVq2lVl0LTS/1JKWnp/Pzzz+j0WiYPHkyqzJWsf/kfj7d/ym+Wnl+HWFCwgSGdhgKwJj4Mfh5yRBSIYQQQrg+q7tD3n//fT766CPuv//+67748OHD63z/yiuvMH/+fLZv305ERASLFi3iiy++YMCAAQAsWbKE+Ph4tm/fTp8+fa54zqqqKqqqqszfl5SUXFeMcXFxHD9+nMyMTDo178Su/F2kFaWZ1+dpqDbN2nDkiSNknsnEz8sPg8FgXux0woQJ13VuT+Ol8aJ9cHsOnz4MoZd6khYtWgQYS6m3atWKJRuMayNN6jYJjVqKNjhC74jefPen76g11FJSdX2/i0IIIYQQjmJ1T1J1dTU33XSTzQPR6/UsXbqU8vJy+vbty+7du6mpqWHgwIHmY+Li4oiKimLbtm1XPc+rr75KYGCg+V9kZOR1xWU5L6l/m/4MbjeYpt5Nr+ucJmqV2pxs/e9//+PEiRMEBAQwZIgUFLCWOWkNhczMTMrLy/n4448BmDZtGidKTrDmyBoApnSf4qQoPZdWrSXYN9jZYQghhBBC1IvVSVJycrK5WpgtHDhwAH9/f7y9vZk+fTorVqygU6dOFBYWotPpaNasWZ3jw8LCKCwsvOr5XnjhBYqLi83/8vLyris+ywp3rw9+nTUT1zC43eDrOmf6qXSq9dV1tpmG2o0aNQpvb+/rOr8nigsxtpM2XEtNTQ1Tpkzh9OnThIeHc8cdd/Dp/k8xKAb6RfajY0hHJ0crhBBCCCFcmdXD7SorK1m4cCE//fQTXbt2xcvLq87+N99806rzxcbGsnfvXoqLi0lJSWHy5Mls2rTJ2rDMvL29bZpkWPYk2YLeoGfIZ0Oo0lfx430/0iO8B3q93jzUTqraNUx8c2M76YP0gLGqHUBZWRkrV65kSYFxqN0DPR5wToBCCCGEEMJtWJ0k7d+/n+7duwNw8ODBOvtUKpXVAeh0Otq3bw9AYmIiO3fuZN68eUyYMIHq6mrOnz9fpzfp5MmTtGzZ0urrNJSpJ+no0aNUVVXh7e3NuYpzBHgHNGhey4/ZP5JXkkewb7B5iNjWrVspLCykWbNmDBo0yKbxe4qCAwUAKCFKne1lZWWMe3IcPAh+Xn6M7zTeGeEJIYQQQgg3YnWStGHDBnvEYWZanDYxMREvLy/WrVvH2LFjAcjIyODYsWP07dvXrjFYatmyJYGBgRQXF5OZmcnYjWPJOpvFoUcOmXsvrLFg9wIAJnebjK+XscKaaQHZ0aNHo9PpbBe8h9Dr9bz9t7chEDhTd5+iKFAO/of8eWDKAzabTyaEEEIIIRqv61vs5zq98MIL3HnnnURFRVFaWsoXX3zBxo0bWbNmDYGBgTz44IM89dRTBAcHExAQwOOPP07fvn2vWtnOHlQqFXFxcezYsYOMjAya+TQDIO1UmtVJUl5xHt9lfQdcWhuptraW5cuXAzLUrqG2bNlCfm7+1Q84C2VflTH64dGOC0oIIYQQQriteidJ9V2fKDU1td4XLyoqYtKkSRQUFBAYGEjXrl1Zs2aNecjZW2+9hVqtZuzYsXUWk3U0U5KUnp5OQtcEdubvJK0ojXGdxll1ng9//RCDYqB/dH9iQ40L1W7evJmioiKCg4O5/fbb7RF+o1dQUGDT44QQQgghhGerd5IUGBho84ub1rG5Gh8fH959913effddm1/bGqbiDYcPH+aG228AjD1J1qg11PLhng8BmJ443bzdNNRuzJgxlxXBEPUTHh5u/CIUiAZKgMyLO28CjgPHLI4TQgghhBDiD9Q7SVqyZIk943BppuIN6enp3N/CuIiutUnS1mNbyS/Np7lfc0bHG4d9yVA720hKSiIiIoLjrY/DnUA6xiSpGTAYUCB8WThJSUnODFMIIYQQQrgJq9dJ8kSmnqSMjAziQ4xfZ57JvGytoz/SP7o/Bx4+wIcjPkSnMRZnWL9+PWfOnCE0NJTbbrvN9oF7CI1Gw7x58+D0xQ2hF//vfvH/o/DfV/6LRmN9NUIhhBBCCOF5JEmqh5iYGLy8vLhw4QJKsUKAdwC1hlqyzmRZdZ7OLTozInaE+XvTArJjx45Fq3VqDQ23N2bMGN7/1/vGb4IBDeYkaWb/mfWeUyeEEEIIIYQkSfWg1Wrp0KEDYOxNmthlIo/0fARvbf0Wra3R11y+rabGXORiwoQJtgvWg02bMA0/Lz/QwNR3pkIzCPQO5N/3/9vZoQkhhBBCCDciSVI9Wc5LenfYu7w77F3aB7e/5uNq9DV0eKcDE1MncvrCafP2n376iXPnzhEWFsYtt9xit7g9iVqlNi/Qm3I+BYB7Ot9jXo9KCCGEEEKI+pAkqZ4sK9xZY2XGSn4r/o11OesI9L5UIdA01G7cuHEyV8aGTElSaXUpAFO7T3VmOEIIIYQQwg1JklRPlj1JAGXVZRw4eeCaj3t/l3GezAPdH8BLYyzxXVVVxYoVKwCpamdrcSFx5q/jQ+Pp1bqXE6MRQgghhBDuSKoF1JNlT1JBaQGt3myFRqWh/P/Krzo3KftsNuty1qFCxbTEaebta9eupbi4mPDwcPr16+eQ+D3FfV3v47a2txEXGkdVbRUqlcrZIQkhhBBCCDcjSVI9xcbGAlBUVISuWkeAdwAlVSVknsmkS1iXKz5m4e6FANzR/g6im0Wbt5sWkB0/frwMtbOxmKAYYoJinB2GEEIIIYRwYzLcrp78/f2JjIwEjBXuEponAFdfVLaqtoole40L8D6U+JB5e2VlJStXrgRkqJ0QQgghhBCuSJIkK1jOSzInSUVXTpJS01M5feE0rZu2ZljHYebta9asobS0lIiICPr27Wv/oIUQQgghhBBWkeF2VoiPj2ft2rUcPnyYhIQ/7kkaGDOQ2QNn46/zR6u+9DRbDrVTqyVHFUIIIYQQwtVIkmQFy56kwc0HA1dPkpo3ac5z/Z6rs62iooJVq1YBsoCsEEIIIYQQrkq6MqxgWeEuoYWxJyn7bDaVtZX1evz3339PeXk5UVFR9OolpamFEEIIIYRwRZIkWcHUk5STk0OQNohHej7C64Nep9ZQaz6moqaC4V8O58sDX9bZDpcWkL377rulNLUQQgghhBAuSobbWSEsLIxmzZpx/vx5srOzeXfYu5cdk3IohW8zv2X/yf3cnXCpel15eTnffvstIEPthBBCCCGEcGXSk2QFlUpl7k06fPjwFY9ZsHsBAH++4c9o1JfWQPruu++4cOECMTExJCYm2j9YIYQQQgghRINIkmQl07yk9PR0qvXV7D+5n82/bQbgYNFBfs77Ga1aywM9HqjzOBlqJ4QQQgghhHuQJMlKlj1JW37bQrf3u/HgqgcBWLDL2Is0InYE4U3DzY8pLS3lu+++A2QBWSGEEEIIIVydJElWsuxJMlW4O3L2CGcunOHT/Z8C8FDiQ3Ue8+2331JZWUn79u3p3r27Q+MVQgghhBBCWEeSJCuZepIyMjJo7tucYN9gFBT+sekfFFcVExMUw8CYgXUeYxpqN2HCBBlqJ4QQQgghhIuTJMlKbdu2RafTUVFRQV5eHgnNjb1JxVXF3NLmFh5KfAi16tLTWlJSwg8//ADIUDshhBBCCCHcgSRJVtJqtXTo0AG4uKjsxSSplX8rNk3ZxDM3PVPn+FWrVlFVVUVcXBxdunRxeLxCCCGEEEII60iS1ABXmpeUdioNoE4vEsCyZcsAqWonhBBCCCGEu5AkqQEsK9x1at4JgPzS/MuOO3/+PGvWrAFkqJ0QQgghhBDuQpKkBrDsSerVuheRAZGE+IVcdtw333xDTU0NCQkJJCQkODpMIYQQQgghRANonR2AO7LsSfLX+fPbzN8wKIbLjrNcQFYIIYQQQgjhHqQnqQFiY2MBOHXqFGfOnEGlUqFRa+occ/bsWdauXQtIkiSEEEIIIYQ7kSSpAZo0aUJUVBRg7E26khUrVlBbW0vXrl3NPU9CCCGEEEII1ydJUgNZzku6EssFZIUQQgghhBDuQ5KkBrKcl/R7p06dYt26dQCMHz/eoXEJIYQQQgghro8kSQ30Rz1JK1asQK/X06NHD/PCs0IIIYQQQgj3IElSA/1RT5IMtRNCCCGEEMJ9SZLUQKaepJycHCoqKszbT548yYYNGwAZaieEEEIIIYQ7kiSpgZo3b05QUBCKopCVlWXenpqaisFg4MYbbyQmJsaJEQohhBBCCCEaQpKkBlKpVFecl7Rs2TJA1kYSQgghhBDCXUmSdB1+Py+poKCAzZs3AzLUTgghhBBCCHclSdJ1+H1PUkpKCoqi0KdPH9q0aePM0IQQQgghhBANJEnSdfh9T5Kpqp0MtRNCCCGEEMJ9SZJ0HUw9SRkZGRw7doytW7cCMtROCCGEEEIIdyZJ0nWIjo7G29ubyspK3njjDQD69etHRESEkyMTQgghhBBCNJQkSddBo9HQoUMHAObPnw9IL5IQQgghhBDuTpKk65CamsqRI0cAqKmpAWD27NmkpqY6MywhhBBCCCHEdZAkqYFSU1MZN24cFRUVdbYXFhYybtw4SZSEEEIIIYRwU5IkNYBer2fGjBkoinLZPtO2mTNnotfrHR2aEEIIIYQQ4jpJktQAW7Zs4fjx41fdrygKeXl5bNmyxYFRCSGEEEIIIWxBkqQGKCgosOlxQgghhBBCCNchSVIDhIeH2/Q4IYQQQgghhOuQJKkBkpKSiIiIQKVSXXG/SqUiMjKSpKQkB0cmhBBCCCGEuF6SJDWARqNh3rx5AJclSqbv586di0ajcXhsQgghhBBCiOsjSVIDjRkzhpSUFFq3bl1ne0REBCkpKYwZM8ZJkQkhhBBCCCGuh0q5Uh3rRqSkpITAwECKi4sJCAiw+fn1ej1btmyhoKCA8PBwkpKSpAdJCCGEEEIIF1Tf3EDrwJgaJY1GQ//+/Z0dhhBCCCGEEMJGZLidEEIIIYQQQliQJEkIIYQQQgghLEiSJIQQQgghhBAWJEkSQgghhBBCCAuSJAkhhBBCCCGEBUmShBBCCCGEEMKCJElCCCGEEEIIYUGSJCGEEEIIIYSwIEmSEEIIIYQQQliQJEkIIYQQQgghLEiSJIQQQgghhBAWJEkSQgghhBBCCAuSJAkhhBBCCCGEBa2zA7A3RVEAKCkpcXIkQgghhBBCCGcy5QSmHOFqGn2SdObMGQAiIyOdHIkQQgghhBDCFZSWlhIYGHjV/Y0+SQoODgbg2LFjf/hEXK8bb7yRnTt32u38jeUaJSUlREZGkpeXR0BAgN2u0xieK0dcQ9rDta4h7eFa15D2cK1rSHu41jWkPVzrGtIe9acoComJibRq1eoPj2v0SZJabZx2FRgYaNcfGo1GY9fzN6ZrAAQEBEh7uMg1QNrDla4B0h6udA2Q9nCla4C0hytdA6Q9XOkaIO1RXzqdzpwjXI0UbrCRRx99VK7hQhrLcyXt4XnXcITG8lxJe3jeNRyhsTxX0h6edw1HaCzPVX2uoVKuNWvJzZWUlBAYGEhxcbFDMnjxx6Q9XIu0h2uR9nAt0h6uRdrDtUh7uBZpD9tr9D1J3t7evPTSS3h7ezs7FIG0h6uR9nAt0h6uRdrDtUh7uBZpD9ci7WF7jb4nSQghhBBCCCGs0eh7koQQQgghhBDCGpIkCSGEEEIIIYQFSZKEEEIIIYQQwoIkSUIIIYQQQghhweWTpFdffZUbb7yRpk2b0qJFC0aNGkVGRkadYyorK3n00UcJCQnB39+fsWPHcvLkyTrHHDt2jGHDhuHn50eLFi149tlnqa2tNe/fuHEjKpXqsn+FhYUOuU934aj2AKiqquKvf/0rbdq0wdvbm+joaBYvXmz3e3QnjmqPKVOmXPH3IyEhwSH36S4c+fvx+eef061bN/z8/AgPD+eBBx7gzJkzdr9Hd+LI9nj33XeJj4/H19eX2NhYPvnkE7vfn7uxVXs88cQTJCYm4u3tTffu3a94rf3795OUlISPjw+RkZHMmTPHXrflthzVHpWVlUyZMoUuXbqg1WoZNWqUHe/KfTmqPTZu3MjIkSMJDw+nSZMmdO/enc8//9yet+a+FBc3ZMgQZcmSJcrBgweVvXv3KkOHDlWioqKUsrIy8zHTp09XIiMjlXXr1im7du1S+vTpo9x0003m/bW1tUrnzp2VgQMHKnv27FG+//57JTQ0VHnhhRfMx2zYsEEBlIyMDKWgoMD8T6/XO/R+XZ2j2kNRFGXEiBFK7969lbVr1yo5OTnK//73P2Xr1q0Ou1d34Kj2OH/+fJ3fi7y8PCU4OFh56aWXHHm7Ls9R7bF161ZFrVYr8+bNU44ePaps2bJFSUhIUEaPHu3Q+3V1jmqP9957T2natKmydOlS5ciRI8qXX36p+Pv7K6tWrXLo/bo6W7SHoijK448/rvz3v/9V7r//fqVbt26XXae4uFgJCwtT7rvvPuXgwYPKl19+qfj6+ioLFiyw9y26FUe1R1lZmTJ9+nRl4cKFypAhQ5SRI0fa+c7ck6Pa45VXXlFefPFF5eeff1ays7OVuXPnKmq1Wlm9erW9b9HtuHyS9HtFRUUKoGzatElRFOObNy8vL+Xrr782H5Oenq4AyrZt2xRFUZTvv/9eUavVSmFhofmY+fPnKwEBAUpVVZWiKJeSpHPnzjnuZhoBe7XHDz/8oAQGBipnzpxx4N24P3u1x++tWLFCUalUSm5urh3vxv3Zqz1ef/11JSYmps613n77baV169b2viW3Zq/26Nu3r/LMM8/UudZTTz2l9OvXz9635NYa0h6WXnrppSu+CXzvvfeUoKCgOq9ff/nLX5TY2Fjb30QjYq/2sDR58mRJkurJEe1hMnToUGXq1Kk2ibsxcfnhdr9XXFwMQHBwMAC7d++mpqaGgQMHmo+Ji4sjKiqKbdu2AbBt2za6dOlCWFiY+ZghQ4ZQUlJCWlpanfN3796d8PBwBg0axM8//2zv23F79mqPVatW0bNnT+bMmUPr1q3p2LEjzzzzDBUVFY66Nbdk798Pk0WLFjFw4EDatGljr1tpFOzVHn379iUvL4/vv/8eRVE4efIkKSkpDB061FG35pbs1R5VVVX4+PjUuZavry+//PILNTU1dr0nd9aQ9qiPbdu2ccstt6DT6czbhgwZQkZGBufOnbNR9I2PvdpDNIwj26O4uNh8HXGJWyVJBoOBmTNn0q9fPzp37gxAYWEhOp2OZs2a1Tk2LCzMPJ+osLCwzh84037TPoDw8HDef/99li9fzvLly4mMjKR///78+uuvdr4r92XP9jh69Chbt27l4MGDrFixgrlz55KSksIjjzxi57tyX/ZsD0v5+fn88MMPJCcn2+EuGg97tke/fv34/PPPmTBhAjqdjpYtWxIYGMi7775r57tyX/ZsjyFDhvDhhx+ye/duFEVh165dfPjhh9TU1HD69Gk735l7amh71Ie1r2nCvu0hrOfI9vjqq6/YuXMnU6dOvZ6QGyWtswOwxqOPPsrBgwfZunWrzc8dGxtLbGys+fubbrqJI0eO8NZbb/Hpp5/a/HqNgT3bw2AwoFKp+PzzzwkMDATgzTffZNy4cbz33nv4+vra/Jruzp7tYenjjz+mWbNmMvn2GuzZHocOHWLGjBnMmjWLIUOGUFBQwLPPPsv06dNZtGiRza/XGNizPf72t79RWFhInz59UBSFsLAwJk+ezJw5c1Cr3eqzSIdx1OuVqB9pD9fiqPbYsGEDU6dO5YMPPpBCTFfgNq/ejz32GN9++y0bNmwgIiLCvL1ly5ZUV1dz/vz5OsefPHmSli1bmo/5ffUP0/emY66kV69eZGdn2+gOGhd7t0d4eDitW7c2J0gA8fHxKIrC8ePH7XFLbs1Rvx+KorB48WLuv//+OkNZRF32bo9XX32Vfv368eyzz9K1a1eGDBnCe++9x+LFiykoKLDjnbkne7eHr68vixcv5sKFC+Tm5nLs2DGio6Np2rQpzZs3t+OduafraY/6aOjffE9l7/YQ1nFUe2zatInhw4fz1ltvMWnSpOsNu1Fy+SRJURQee+wxVqxYwfr162nbtm2d/YmJiXh5ebFu3TrztoyMDI4dO0bfvn0B4/j9AwcOUFRUZD5m7dq1BAQE0KlTp6tee+/evYSHh9v4jtybo9qjX79+5OfnU1ZWZj4mMzMTtVpd50XD0zn692PTpk1kZ2fz4IMP2vGu3Jej2uPChQuX9VBoNBpzDMLI0b8fXl5eREREoNFoWLp0KXfddZf0JFmwRXvUR9++fdm8eXOd+WBr164lNjaWoKCg67+RRsJR7SHqx5HtsXHjRoYNG8bs2bP585//bJP4GyVnVIuwxsMPP6wEBgYqGzdurFOC+MKFC+Zjpk+frkRFRSnr169Xdu3apfTt21fp27eveb+phOvgwYOVvXv3Kj/++KPSvHnzOiVc33rrLeWbb75RsrKylAMHDigzZsxQ1Gq18tNPPzn0fl2do9qjtLRUiYiIUMaNG6ekpaUpmzZtUjp06KAkJyc79H5dnaPaw2TixIlK7969HXJv7shR7bFkyRJFq9Uq7733nnLkyBFl69atSs+ePZVevXo59H5dnaPaIyMjQ/n000+VzMxMZceOHcqECROU4OBgJScnx5G36/Js0R6KoihZWVnKnj17lIceekjp2LGjsmfPHmXPnj3manbnz59XwsLClPvvv185ePCgsnTpUsXPz09KgP+Oo9pDURQlLS1N2bNnjzJ8+HClf//+5mPEJY5qj/Xr1yt+fn7KCy+8UOc6Uk34ci6fJAFX/LdkyRLzMRUVFcojjzyiBAUFKX5+fsro0aOVgoKCOufJzc1V7rzzTsXX11cJDQ1Vnn76aaWmpsa8f/bs2Uq7du0UHx8fJTg4WOnfv7+yfv16R92m23BUeyiKsbTlwIEDFV9fXyUiIkJ56qmn6rxYCMe2x/nz5xVfX19l4cKFjrg1t+TI9nj77beVTp06Kb6+vkp4eLhy3333KcePH3fEbboNR7XHoUOHlO7duyu+vr5KQECAMnLkSOXw4cOOuk23Yav2uPXWW694HsukdN++fcrNN9+seHt7K61bt1Zee+01B92l+3Bke7Rp0+aKx4hLHNUekydPvuL+W2+91XE36yZUiiJjM4QQQgghhBDCRAZLCyGEEEIIIYQFSZKEEEIIIYQQwoIkSUIIIYQQQghhQZIkIYQQQgghhLAgSZIQQgghhBBCWJAkSQghhBBCCCEsSJIkhBBCCCGEEBYkSRJCCCGEEEIIC5IkCSGEEEIIIYQFSZKEEEK4FUVRGDhwIEOGDLls33vvvUezZs04fvy4EyITQgjRWEiSJIQQwq2oVCqWLFnCjh07WLBggXl7Tk4Ozz33HO+88w4RERE2vWZNTY1NzyeEEMK1SZIkhBDC7URGRjJv3jyeeeYZcnJyUBSFBx98kMGDB9OjRw/uvPNO/P39CQsL4/777+f06dPmx/7444/cfPPNNGvWjJCQEO666y6OHDli3p+bm4tKpWLZsmXceuut+Pj48PnnnzvjNoUQQjiJSlEUxdlBCCGEEA0xatQoiouLGTNmDC+//DJpaWkkJCSQnJzMpEmTqKio4C9/+Qu1tbWsX78egOXLl6NSqejatStlZWXMmjWL3Nxc9u7di1qtJjc3l7Zt2xIdHc0bb7xBjx498PHxITw83Ml3K4QQwlEkSRJCCOG2ioqKSEhI4OzZsyxfvpyDBw+yZcsW1qxZYz7m+PHjREZGkpGRQceOHS87x+nTp2nevDkHDhygc+fO5iRp7ty5zJgxw5G3I4QQwkXIcDshhBBuq0WLFjz00EPEx8czatQo9u3bx4YNG/D39zf/i4uLAzAPqcvKyuLee+8lJiaGgIAAoqOjATh27Fidc/fs2dOh9yKEEMJ1aJ0dgBBCCHE9tFotWq3xz1lZWRnDhw9n9uzZlx1nGi43fPhw2rRpwwcffECrVq0wGAx07tyZ6urqOsc3adLE/sELIYRwSZIkCSGEaDRuuOEGli9fTnR0tDlxsnTmzBkyMjL44IMPSEpKAmDr1q2ODlMIIYSLk+F2QgghGo1HH32Us2fPcu+997Jz506OHDnCmjVrmDp1Knq9nqCgIEJCQli4cCHZ2dmsX7+ep556ytlhCyGEcDGSJAkhhGg0WrVqxc8//4xer2fw4MF06dKFmTNn0qxZM9RqNWq1mqVLl7J79246d+7Mk08+yeuvv+7ssIUQQrgYqW4nhBBCCCGEEBakJ0kIIYQQQgghLEiSJIQQQgghhBAWJEkSQgghhBBCCAuSJAkhhBBCCCGEBUmShBBCCCGEEMKCJElCCCGEEEIIYUGSJCGEEEIIIYSwIEmSEEIIIYQQQliQJEkIIYQQQgghLEiSJIQQQgghhBAWJEkSQgghhBBCCAv/HxbBMuXGqz8yAAAAAElFTkSuQmCC", "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": "2024-04-19T16:40:21.267663Z", "iopub.status.busy": "2024-04-19T16:40:21.266509Z", "iopub.status.idle": "2024-04-19T16:40:23.995988Z", "shell.execute_reply": "2024-04-19T16:40:23.995050Z" } }, "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(\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": "3.10.14" }, "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 }