{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dynamic Mapping\n", "\n", "In many cases, data for creating maps are retrievable in regular intervals or available historically. In such cases, \n", "dynamic mapping can uncover additional insights beyond what static maps can offer. \n", "\n", "Dynamic mapping, however, is more challenging than simply creating a (static) map at each point in time (see [[1]](#ref_1)).\n", "The dynamic mapping framework *EvoMap* provides one solution to this problem. *EvoMap* integrates various static mapping methods \n", "and allows the analyst to use them for creating dynamic market maps. Thereby, it provides the analyst with a high degree of control \n", "over its output (e.g., by letting the analyst set certain constraints on the resultant maps, such as the degree of smoothing). \n", "\n", "For methodological background and a detailed description, see the original paper [[1]](#ref_1).\n", "\n", "This tutorial demonstrates how to use *EvoMap* to create dynamic market maps from time-evolving relationship data. The tutorial covers data preparation, running the method, evaluating its results, tuning its hyperparameter and several useful functions provided as part of this package (e.g., for drawing dynamic market maps). \n", "\n", "## Sections\n", "\n", "1. [Data Preparation](#section_1)\n", "\n", "2. [Running the Method](#section_2)\n", "\n", "3. [Output Exploration](#section_3)\n", "\n", "4. [Quantitative Evaluation](#section_4)\n", "\n", "5. [Hyperparameter Tuning](#section_5)\n", "\n", "6. [Chosing Different Mapping Methods](#section_6)\n", "\n", "7. [Special Cases and Extensions](#section_7)\n", "\n", "## Background\n", "\n", "**Last updated:** September 2022\n", "\n", "This tutorial is based on the following paper. *If you use this package or parts of its code, please cite our work*.\n", "\n", "**References**\n", "\n", "\n", "``` \n", "[1]Matthe, M., Ringel, D. M., Skiera, B. (2022), \"Mapping Market Structure Evolution\", Marketing Science, forthcoming.\n", "```\n", "\n", "Read the **full paper** here (open access): https://doi.org/10.1287/mksc.2022.1385\n", "\n", "**Contact:** In case of questions, problems or for feedback, please get in touch." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Preparation\n", "\n", "First, load all required imports for this tutorial and set the seed to ensure reproducibility. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:38:19.308168Z", "start_time": "2022-04-14T14:38:18.011896Z" } }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", "np.random.seed(123) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this tutorial, we use a subsample of the 'Text-Based Network Industry Classification' data also used in [[1]](#ref_1). The original data is provided at https://hobergphillips.tuck.dartmouth.edu/. The data consists of a time-indexed edgelist, that is, firm-firm relationships. \n", "\n", "For more background on TNIC data, see:\n", "\n", " \n", "```\n", "[2] Hoberg, G & Phillips, G. (2016), \"Text-Based Network Industries and Endogenous Product Differentiation.\", Journal of Political Economy 124 (5), 1423-1465.\n", "```\n", "\n", "If you intend to use these data, make sure to cite these authors' original work!\n", "\n", "We augment the TNIC edgelist with further firm information. Moreover, we limit our analysis to a subsample of firms (i.e., those which are present throughout the whole observation period of 20 years). Our augmented data includes the following variables: \n", "\n", "| Variable | Description | Type |\n", "| --- | --- | --- |\n", "| year | Fiscal year | int |\n", "| gvkey | Firm identifier | int |\n", "| score | Similarity score | float |\n", "| name | Firm name | string |\n", "| size | Firm size (synthetic variable, correlated with market capitalization) | float |\n", "| sic | SIC Code | string |\n", "\n", "In the resultant dataset, each row corresponds to a single firm-firm pair at a specific point in time. Thus, each firm variable appears twice in each row (once for each firm). We provide this dataset in the `datasets` module." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:38:21.012637Z", "start_time": "2022-04-14T14:38:19.310169Z" } }, "outputs": [ { "data": { "text/html": [ "
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yeargvkey1gvkey2scorename1name2sic1sic2size1size2
01998107816020.0274ABBOTT LABORATORIESAMGEN INC3845283674.21193736.866437
11999107816020.0352ABBOTT LABORATORIESAMGEN INC3845283687.85438448.541222
22000107816020.0348ABBOTT LABORATORIESAMGEN INC3845283670.09850893.428689
32001107816020.0218ABBOTT LABORATORIESAMGEN INC38452836110.29943034.410965
42002107816020.0366ABBOTT LABORATORIESAMGEN INC3845283640.14085342.840198
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" ], "text/plain": [ " year gvkey1 gvkey2 score name1 name2 sic1 sic2 \\\n", "0 1998 1078 1602 0.0274 ABBOTT LABORATORIES AMGEN INC 3845 2836 \n", "1 1999 1078 1602 0.0352 ABBOTT LABORATORIES AMGEN INC 3845 2836 \n", "2 2000 1078 1602 0.0348 ABBOTT LABORATORIES AMGEN INC 3845 2836 \n", "3 2001 1078 1602 0.0218 ABBOTT LABORATORIES AMGEN INC 3845 2836 \n", "4 2002 1078 1602 0.0366 ABBOTT LABORATORIES AMGEN INC 3845 2836 \n", "\n", " size1 size2 \n", "0 74.211937 36.866437 \n", "1 87.854384 48.541222 \n", "2 70.098508 93.428689 \n", "3 110.299430 34.410965 \n", "4 40.140853 42.840198 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from evomap.datasets import load_tnic_sample_small\n", "df_sample = load_tnic_sample_small()\n", "df_sample.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original sample includes more than 1,000 different firms. To simplify our demonstration (and accelerate the runtime of this notebook), we pick a smaller subsample from these data focused on the biggest firms (by market value) and their competitors." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:38:28.728003Z", "start_time": "2022-04-14T14:38:28.698928Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The subsample includes 273 firms and 20 years\n" ] } ], "source": [ "print(\"The subsample includes {0} firms and {1} years\".format(df_sample.name1.nunique(), df_sample.year.nunique()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to turn this edgelist into a sequence of relationship matrices. Specifically, the expected input for *EvoMap* is a list of numpy ndarrays, each containing the pairwise relationships among all firms at a specific point in time. \n", "\n", "**Important:** Make sure that each matrix has the same size and that its rows & columns are ordered consistently! If you do not observe certain firms at some points in time (e.g., due to entry or exit), you should provide inclusion vectors (covered [later](#inclusions)).\n", "\n", "`evomap.preprocessing` provides helpful functions for the required transformations: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:38:29.687607Z", "start_time": "2022-04-14T14:38:28.729967Z" } }, "outputs": [], "source": [ "from evomap.preprocessing import edgelist2matrix, sim2diss\n", "\n", "def build_distance_matrices(df):\n", " \"\"\"Build a sequence of distance matrices from the tnic edgelist.\n", "\n", " As the tnic data consists of pairwise similarities, we apply the 'sim2diss' \n", " function to each similarity matrix to yield distance matrices.\n", "\n", " Parameters\n", " ----------\n", " df : pd.DataFrame\n", " Tnic data in edgelist format. \n", "\n", " Returns\n", " -------\n", " Ds, names, years\n", " Ds: list of distance matrices, each as a numpy ndarray\n", " names: array of firm labels\n", " years: array o year labels\n", " \"\"\"\n", " years = df['year'].sort_values().unique()\n", " Ds = []\n", " for year in years:\n", " S_t, names = edgelist2matrix(\n", " df = df,\n", " score_var = 'score',\n", " id_var_i = 'name1',\n", " id_var_j = 'name2',\n", " time_var = 'year',\n", " time_selected = year)\n", " D_t = sim2diss(S_t, transformation = 'inverse')\n", " Ds.append(D_t)\n", " \n", " return Ds, names, years\n", "\n", "Ds, names, years = build_distance_matrices(df_sample)\n", "n_samples = Ds[0].shape[0]\n", "n_periods = len(Ds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running EvoMap\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "EvoMap is part of the `evomap.mapping` module. \n", "\n", "Before we run the method, we first fix a random starting initialization. While you do not need to provide a starting initialization explicitly, doing so is helpful when comparing the derived maps to solutions by other approaches. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:38:29.703244Z", "start_time": "2022-04-14T14:38:29.690239Z" } }, "outputs": [], "source": [ "Y_init = np.random.normal(0.0,1.0,size=(n_samples,2))\n", "Y_inits = [Y_init]*n_periods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, choose a value for the hyperparamter alpha, initialize the model accordingly, and fit it to the data. We will cover ways how to identify appropriate values for EvoMap's hyperparameters [later](#section_5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:44.970713Z", "start_time": "2022-04-14T14:38:29.705210Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[EvoTSNE] Initialization 1/1\n", "[EvoTSNE] Gradient descent with Momentum: 0.5\n", "[EvoTSNE] Iteration 50 -- Cost: 245.10 -- Gradient Norm: 0.1721\n", "[EvoTSNE] Iteration 100 -- Cost: 239.81 -- Gradient Norm: 0.0978\n", "[EvoTSNE] Iteration 150 -- Cost: 237.70 -- Gradient Norm: 0.1199\n", "[EvoTSNE] Iteration 200 -- Cost: 235.00 -- Gradient Norm: 0.0824\n", "[EvoTSNE] Iteration 250 -- Cost: 233.33 -- Gradient Norm: 0.0747\n", "[EvoTSNE] Maximum number of iterations reached. Final cost: 233.33\n", "[EvoTSNE] Gradient descent with Momentum: 0.8\n", "[EvoTSNE] Iteration 300 -- Cost: 18.78 -- Gradient Norm: 0.0143\n", "[EvoTSNE] Iteration 350 -- Cost: 17.20 -- Gradient Norm: 0.0036\n", "[EvoTSNE] Iteration 400 -- Cost: 17.08 -- Gradient Norm: 0.0017\n", "[EvoTSNE] Iteration 450 -- Cost: 16.97 -- Gradient Norm: 0.0037\n", "[EvoTSNE] Iteration 500 -- Cost: 16.80 -- Gradient Norm: 0.0041\n", "[EvoTSNE] Iteration 536: gradient norm vanished.\n" ] } ], "source": [ "from evomap.mapping.evomap import EvoTSNE\n", "model = EvoTSNE(\n", " verbose = 2,\n", " alpha = 0.001,\n", " p = 1)\n", "\n", "Ys = model.fit_transform(Ds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output is a list of map coordinates, each stored in a ndarray of shape (n_samples, d), where d is typically = 2. \n", "\n", "This package provides multiple tools to explore these results. Here, we look at the first 4 maps as a sequence. We cover more advanced alternatives for exploration in [Section 3: Exploring Model Output](#section_3)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:45.342829Z", "start_time": "2022-04-14T14:40:44.972714Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from evomap.printer import draw_map_sequence\n", "draw_map_sequence(Ys[:4])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Exploring Model Output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This package provides three ways to explore EvoMap's output: \n", "\n", "1. [Draw a static map](#static_map)\n", "2. [Draw a sequence of static maps](#sequence)\n", "3. [Draw a dynamic map](#dynamic_map) (i.e., an overlay of subsequent maps)\n", "\n", "All necessary functions are included in the \"printer\" module and provide lots of flexibility to adjust their aesthetics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Draw a Static Map\n", "\n", "To draw a single static map, simply use the corresponding function ```draw_map()```." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:45.452791Z", "start_time": "2022-04-14T14:40:45.344825Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from evomap.printer import draw_map\n", "\n", "draw_map(Ys[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aesthetics of the map can easily be adjusted via additional arguments. For instance, if class labels are available (e.g., obtained via clustering or additional metadata), they can be added as colors. Here, we can use SIC codes for coloring:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:45.622383Z", "start_time": "2022-04-14T14:40:45.456680Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sic_codes = pd.DataFrame({'name1' : names}).merge(df_sample[['name1', 'sic1']], on = 'name1', how = 'left').drop_duplicates('name1')['sic1'].map(lambda x: str(x)[:1]).values\n", "draw_map(Ys[0], color = sic_codes)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sizes = pd.DataFrame({'name1' : names}).merge(df_sample[['name1', 'size1']], on = 'name1', how = 'left').drop_duplicates('name1')['size1'].values\n", "draw_map(Ys[0], color = sic_codes, size = sizes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can also annotate the map further using labels. Note that you can also use additional keyword arguments to adjust the plot and its labels further. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:47.290832Z", "start_time": "2022-04-14T14:40:45.780009Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_map(\n", " Ys[0], \n", " color = sic_codes, \n", " size = sizes,\n", " label = names, \n", " highlighted_labels = ['APPLE INC', 'ADOBE INC'],\n", " fig_size = (10,10),\n", " fontdict = {'size': 8},\n", " scatter_kws = {'s' : 20})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Draw a Sequence of Maps\n", "\n", "Rather than drawing a single map, you can also draw a sequence via ```draw_map_sequence()```.\n", "\n", "The function takes a list of ndarrays (each containing the map coordinates for one period) and creates a map for each of them:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:47.603508Z", "start_time": "2022-04-14T14:40:47.292803Z" } }, "outputs": [ { "data": { "image/png": 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GcqEQ4u+SfCiEEJILhRAi1f/Kh3+7gOfi4qL8AFdX17/7MUKIf4mYmBjkyZNHyR32QnKhEOKvknwohBCSC4UQItWfzYd/u4CXOh3Y1dVVEpMQ4k+zt6UEkguFEH+X5EMhhJBcKIQQqf5XPrSfzQaEEEIIIYQQQgghhLBDUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmBTwhBBCCCGEEEIIIYTIwqSAJ4QQQgghhBBCCCFEFiYFPCGEEEIIIYQQQgghsjAp4AkhhBBCCCGEEEIIkYVJAU8IIYQQQgghhBBCiCxMCnhCCCGEEEIIIYQQQmRhUsATQgghhBBCCCGEECILkwKeEEIIIYQQQgghhBBZmNbWHRB/H0ncvn0bSUlJCAkJgVYr/zqFEP9er1+/xsWLF+Hm5oYiRYpApVLZuktCCCGEEEIIkS5kBl429eOPPyIsLAzBwcEoVKgQgoKCsGjRIpC0ddeEECJTJSUlYcCAAciVKxcqVaqEokWLomTJkjh69KituyaEEDbx7NkzTJgwAeXKlUO5cuUwduxYPHnyxNbdEkIImyCJo0ePYsqUKZg5cyauXr1q6y4J8bdIAS8bOnToEOrWrQtXV1d8++23+OGHH1CjRg307t0bn3zyia27J4QQmapHjx5YtGgRRo4ciV9//RU7duyAk5MTIiIicPHiRVt3TwghMtXt27cRFhaGmTNnIn/+/ChQoADmzp2LUqVK4fr167bunhBCZKqYmBhERkaiUqVKmDVrFiZMmICCBQuif//+MJvNtu6eEH+JrLnMhsaNG4eSJUti7969yrLZ2rVrw9HREZMmTULPnj1hNBrTfDYxMREvXryAp6fnH7YRQojs4saNG1i9ejU+//xz9O7dGwBQrFgxVK9eHYULF8bMmTOxYsUKG/dSCCEyz8CBA6HRaHDlyhX4+/sDAB49eoQqVaqgZ8+e+P7776HRaGzcSyGEyBx9+vTBsWPHsGXLFjRo0ABJSUlYvHgxBg0ahJCQEAwcONDWXRTiT5MZeNlMQkICfvrpJ3Tt2tVqz7uePXvixYsXKFOmDIoUKYL27dvj5MmTAIC3b99iwIAB8Pb2hr+/P7y9vdG3b1/ExMTYIgwhhEgXP/30E0iiU6dOFtcdHR3x/vvvY926dWjevDlWrlxpNRsvKSkJDx8+RFxcXCb2WAghMs7Lly+xbds2DBs2TCneAUDOnDkxcuRI7Nu3D7ly5cK0adNgMpls2FMhhMh4jx8/xldffYXJkyejUaNGUKvVMBqNGDBgANq3b4/Zs2fLFlQiW5ECXjaTuil7Wokm9Zq7uzsiIiJw9OhRVKhQAV9//TXq16+PZcuWYcCAAdi2bRsGDx6MNWvWICoqCsnJyZkagxBCpBedTgcAiI+Pt7oXFxcHjUaDzZs3o3PnzggNDUWFChVw5swZjBw5En5+fvD390eOHDnQuXNnPHv2LLO7L4QQ6erIkSMwm80oWLCg1b0CBQoAAKpXr44xY8agb9++md09IYTINNHR0WjQoAFMJhOioqKs7kdGRuL+/fuoXbu2vAOKbEMKeNmMwWBA7dq1sXTpUiQlJVncW7BgATw8PLB3717Mnz8fly5dQuXKldGxY0ccOHAAW7duxaRJk1C+fHk4OzujatWq+Pnnn7Fw4UIbRSOEEP9MVFQUdDod5s2bZ3H98ePHWLNmDUhiypQp+OCDD1CrVi3cunUL4eHhmDNnDjp37ozJkyejVKlS+Oqrr1C6dGm8fv3aJnEIIcQ/dffuXbRv3x46nQ579uyxur9nzx44ODggNjYWuXPnxuLFi/HDDz8AeDcIfODAAUyZMgXr169Pc1BECCGyi4sXL6JEiRI4e/YsAODKlStWba5evQqj0Yjz58+jYcOGMhNPZAuyB142NGHCBNSoUQNVq1bFoEGD4OLigpUrV2Ljxo3o378/DAYDjh07hrZt2+LGjRvKc2PGjMHjx4/Rq1cvJCcno3jx4nB1dVXW/X/wwQc2ikgIIf4eX19fVKxYEZMmTcK1a9fQpEkT3Lt3D7Nnz8bbt2/Rp08fjBs3DkajEaGhoYiPj0dSUhJKly6NK1euYMeOHQgMDERAQACuXLmCkiVL4tSpU8iRI4etQxNCiL9kwoQJiIuLQ3JyMubOnYsiRYqgbdu2UKlUWL9+PaZPnw6TyYSLFy+iZMmSiI6ORlRUFEaNGoXFixfjxYsXyobuRqMR06ZNk72hhBDZzuHDh1GnTh24u7ujf//++PLLLzF69GhUrlwZ7u7uAN4V7z777DM0atQIISEhmDp1Kn744QdUqlQJ69atwy+//AJnZ2e0bNkSFStWVFbBCWFz/Juio6MJgNHR0X/3I8TflJyczICAADo4OBAAATB37twsUqQIHRwcePDgQbq5ubFChQo8cuQI37x5w+3btzMwMJA6nY516tThs2fPSJJxcXEcOHAgAfDYsWM2jkzYM3vNGfYaV3axatUqAmDVqlWZN29eAqBGo6FKpaLBYKBWq2W7du345s0bkmRMTAzbtm1LlUpFvV7PLVu20Gw2kySPHj1KT09PNm/e3JYhiX8Be80b9hpXdmA2m+ns7Mzg4GCeO3eOrVu3JgA6OzvTyclJeV+cPXu2kvPi4uLYokULqtVqAuBHH33Emzdv8vz58+zatSsB8KuvvrJxZMKe2WvOsNe4sgOz2cyiRYsyPDycsbGxJMnTp0/T3d2drq6u7Ny5M1u0aEGNRkOdTqfkRgB0cHCgl5cXVSoVy5Qpo7xXdu7cmSaTycaRCXv3Z/OGFPCyoa1btyoFt/v37/PmzZs0mUyMjY2lj48Py5YtSxcXF7569criuTNnzhAAFy1aZHE9JSWFQUFB7NKlSyZGIf5t7DVn2Gtc2YHZbGbBggXZqFEj5Z9fvHjB+Ph4Dhs2jCqViu7u7soLXKq3b9/S2dmZ5cuXt/rMzz//nGq1mo8ePcqMEMS/lL3mDXuNKzs4fvw4AXDnzp3KtbNnz3Lq1KksWrQo9Xo9Q0NDleJdqidPnlCr1bJUqVIW181mM+vWrct8+fJZPSNEerHXnGGvcWUHZ8+eJQDu3r3b4vqdO3dYpUoV6nQ6li5dmjqdji4uLly5ciVfvXrFs2fPsn79+lSpVNy8eTNJ0mQycdmyZVSpVFy4cKEtwhH/In82b8geeNnQsWPHkDNnTpQrVw7+/v4ICgqCWq2Go6MjoqKicPXqVURERChThFOVLFkSgYGBuHz5ssV1jUaDihUr4vr165kYhRBC/DOvXr3ClStX0Lp1awDvDvnx9PSE0WjE+++/D5IoUaIEHB0dLZ5zcnJCWFiYcgDGb1WpUgVmsxm3bt3KlBiEECI9pG6ZUqlSJeVa8eLFMXLkSHTv3h1msxlly5a1Wgbm4+ODnDlzWp1Iq1Kp0K5dO1y/fh3R0dEZH4AQQqSD1L2M8+TJY3E9b9686N27N5KTk1GiRAkkJyfjiy++QMeOHeHu7o7ixYtj8+bNCAwMxOrVqwEAarUaXbp0QePGjWXPeJFlSAEvG3J1dUVMTAxiY2Ot7t29excxMTF49OiR1b2kpCS8fPkSL1++tLhOEqdOnULevHkzrM9CCJHeDAYDVCoVnj9/bnXv8ePHAICzZ88iMTHR4l5iYiJ+/fVXJCQkWD135swZAIC/v38G9FgIITJG6jvcqVOnLK4/fvwYK1asgMlkwoEDB5Q97lLdvXsX9+/fh4uLi9Vnvnz5Emq1Gnq9PuM6LoQQ6Sg0NBQGgwHfffed1b2tW7cif/782LlzJzQaDZo2bWpxX6fToWXLljh8+LDF9UqVKuHatWsZ2m8h/iwp4GVDLVu2RFxcHGbMmGFxff/+/di/fz9I4ueff8bevXst7i9YsAAxMTFYt24dfv75ZwCAyWTC1KlTcfnyZXTr1i3TYhBCiH/KyckJ9erVw/z58y1miLx+/Rrt2rVT/veQIUOUU7uTkpLw4Ycf4vXr1zh16pSSCwHg5s2bGDduHOrUqSMDGkKIbCU8PBxFihTBgAEDlEHcQ4cOIV++fLh8+TJKlCiBW7duYejQocoJs48fP0b79u2hVquRnJyMlJQU5fNiYmIwb9481KhRw2oWsxBCZFU5cuRAly5dMGHCBHzxxRdISEjAq1evMHbsWHz99dcoV64cXrx4AZPJhBcvXlg9//TpU6sVGidPnoTRaMysEIT4r1Tk3zsvOSYmBm5uboiOjoarq2t690v8DxMnTsS4ceNQpUoVREVF4cKFC9iwYQNMJhNIwmg0wmQyoU2bNihevDj279+Pbdu2AQACAwPx8OFD1K5dGxcvXsTt27cxduxYTJgwwcZRCXtmrznDXuPKLi5cuIDKlSvDyckJ3bt3h4ODAz7++GPExsZi48aNaNy4MUjCx8cHpUuXxqlTp/D06VNUqFABJ06cQEpKCipXrgyj0YiffvoJefPmxU8//YSAgABbhybsmL3mDXuNK7v49ddfUaNGDbx58wZVqlTBkSNHUK5cOXz77beoV68ejh07BpVKBTc3NwQFBeH8+fPQ6/XKio6SJUuiU6dOiIuLw8KFC/Hs2TOcOHECRYsWtXFkwl7Za86w17iyi4SEBHTp0gXr16+HWq1WZh5rNBqYTCao1WqoVCr06tULn376qbK1wJUrV1CiRAm0bNkSq1evBkl8++23aNmyJfLkySPbq4gM9WfzhhTwsimSiIiIwIEDB5RkRBImkwl6vR7dunVDnjx5sHz5cjx8+BAFCxZEnz590LdvXzRo0ACbNm1C3bp1kTdvXnTu3Bnly5e3dUjCztlrzrDXuLKTn376CTVr1oTBYFBmkHz44Yd4+/YtPv/8c6xfvx6//PILbt26haCgIHTv3h03btxAo0aNUKVKFXh7eyMlJQW1atVCp06d5N+jyHD2mjfsNa7spGrVqrh27RocHBxw69YtXL58GVeuXEGjRo1Qq1YtLF68GKtXr8aTJ09QpEgRtGvXDqGhoUhMTMTbt2+RkpICtVqNUqVKYdWqVShSpIitQxJ2zF5zhr3GlZ3s3LkT9erVQ6FChXD58mWoVCq0aNECISEh+PjjjzF27FiMHz8eVatWRcOGDXH37l0sW7YMiYmJUKlUqFatGh4/fozz58/D1dUVdevWxVdffWXrsIQd+7N5Q5uJfRLp5Pr162jWrBnOnTuHggUL4urVq5g/fz4uXLiApUuXwmw2IyYmBiNGjMCIESOU56Kjo9GjRw84OzsDAJYuXSr7PAkhsr23b98CAJo2bYr169cr1xctWgQA0Gq1mDdvnsUz+/fvh0qlQqlSpTB//vxM66sQQmSU58+f49ChQ+jRoweWLl0KJycnBAQEICIiAm5ubtDpdAgJCbFYcUESGo0GoaGh2L9/PxISEuDg4AC1WnbZEUJkXzt27ECOHDlw7do1VKhQAc+fP8fatWtRoEABlCpVCuPGjUOpUqUwe/ZsjB07Fu7u7vD09MS9e/cwadIknD59Gn5+fihZsiS+/PJL9OzZ09YhCQFA9sDLdhITExEZGYmEhASEh4fj9u3b6NGjB/r164dDhw4pM1C++eYbq80258yZA5K4c+cOjEYjcubMaaMohBAi/Xh6egIA1q9fj88//xyurq747LPPoNPpkDdvXkybNk0p8gHvvuTOnDkTANCmTRub9FkIIdJbXFwcAGDdunWoVKkSYmNjUbt2bTx58gQlSpTAjz/+qJxWm+rHH3/EgwcP0LFjR2g0Gjg5OUnxTgiR7ZlMJrx9+xZdu3bF69evERUVhY8++gi3b9/G48ePYTab0bBhQxw4cACxsbG4f/++cmDPzJkz8ebNG+zfvx9ffvklxo8fjxo1atg4IiHekb+hs5lvv/0WN2/exKZNm9C6dWskJCQgKioKAPDkyRPlKGyj0YgKFSpg1KhR+OKLL9CkSRNMnDgRLi4u+Omnn9CsWTN5QRNC2IXw8HC4ubnB09MTPXr0QNWqVREbG4s8efKgSJEiuHbtGgoVKoShQ4diwIABKFy4MO7fv48SJUqgXLlytu6+EEKkC39/f3h5eeHt27f44osv4OnpiSNHjqB48eJISEhA3rx5UaNGDSxZsgTHjh3DzJkz0aRJE+h0OnTp0sXW3RdCiHRTtWpVJCYmolatWnB3d8f27dsxa9YseHt748GDB1i2bJlF+3Xr1uHGjRvQ6XQYMGAA3Nzc0KhRI5w8eRLjxo2zURRCWJMltNnMyZMnERISgmLFiiFPnjwYMGCAMtNOq9XC09MTU6ZMQd++fREcHIxPPvkEsbGxcHJygkqlwps3bxAeHo5Vq1bZOBIhhEgfX3/9Nd68eYNcuXJBq9UiMjIS27dvR/fu3TFq1CgsWrQIx44dw4YNG6BSqaDT6WA0GvHzzz8rGxcLIUR2p9FoEBkZibVr1yIkJATly5fH3bt3MXLkSDRr1gwTJkzAiRMn0KtXL2XprNlsxpQpU2RQVwhhV5o2bQqdTodz584hMjISEyZMwKeffoqnT59i+vTp6NGjB7Zu3YqKFSvi+PHj+O6776BSqVCrVi1MnDjR1t0X4g/J39bZjKurK54/f46EhAS4u7ujefPmmDVrFu7evYvq1avjq6++QteuXbFq1SpoNBrlZLH4+HhUrlwZR48exdGjR6HRaGwciRBC/HP/+c9/0L59e1SpUgX379/HL7/8osyqy58/P2rXro1u3brh0qVLqFChAl6+fImnT59i165dMBqNNu69EEKkr8GDBwMAvvvuOzg7O8PLywtNmjTBBx98gHHjxuHixYuoXLkyDAYDzGYzIiMjLfZLFkIIe2A0GtG+fXt88sknSExMhFqtRpcuXdCnTx94eHjAz88PV65cwaxZs3D69GnodDqo1Wps3rzZ1l0X4r+SAl4207p1a0RHRyv7N82ZMweOjo4oXLgwXr16hTt37iAqKgoBAQHYuXMnxowZA51Oh7CwMBw8eBAVKlSwcQRCCJF+Pv/8c+TKlQt79uxBiRIl0LRpU1y9ehVlypRB3759MXjwYKxduxbOzs74+eef8ebNG4wZMwZVqlSxddeFECLdhYWFoWbNmujVqxfc3d1x5MgR3LlzB/Pnz8fhw4dRu3ZtODg4IDExER06dMCuXbtkJrIQwi7NmjULQUFB+Pjjj0ESZrMZfn5+OHDgAAoUKIDr16/j1atXuH//PkwmE7Zt2wYHBwdbd1uI/0pFkn/nQTke23bGjh2LSZMmoWrVqqhZsyZOnjyJHTt2wN3dHUlJSUhMTERKSgoAQKVSoUiRIjh+/DgcHR1t3HPxb2avOcNe48ouKlSogCJFimD58uXKPqB79uwB8G45mclkgrOzM+Lj40ESo0aNwqRJk2zca/FvZ695w17jym6eP3+Oli1b4qeffoJWq0WePHkwe/ZslCtXDkePHsXgwYORkpKCmzdvypdVYVP2mjPsNa7sKDY2FvPmzcNHH32E6dOnY9iwYcq9kydPonr16nB1dcWFCxfg4eFhw56Kf7s/mzdkD7xsaOLEiShRogQ+++wzLFq0CDlz5sT8+fPRq1cvaLVa7N+/H+vWrQNJdOnSBRUrVrR1l4UQIkN4eXnhypUrAABfX1/s3r0b165dw6lTp9C+fXv07t0befLkgbu7O5o1awYfHx8b91gIITKWl5cX9u3bh5MnT2L79u1Yt24dmjZtqtyvWLEi1q1bJ8U7IYTdc3JywujRo3H58mWMGDECN2/eRKNGjXDnzh1Mnz4dJpMJBw8elOKdyDZkBp4QIlPYa86w17iyi40bN6Jly5b4+uuv0bJlSwCA2WxG3759sWzZMty9exd+fn427qUQluw1b9hrXPbg/PnzuHPnDoKDg1G4cGFbd0cIAPabM+w1ruzMbDZjwoQJmDdvHmJiYqBSqVC6dGmsXr1acqLIEmQGnhBCCLvXrFkztGnTBq1atcKCBQtQpEgR7N27F1evXsWiRYukeCeEEACKFi2KokWL2robQghhE2q1GhMmTMCYMWPw8OFDuLq6yqw7kS1JAU8IIUS2pVarsWbNGtSvXx8rV67E0aNHUbp0aaxYsUK2DxBC/GvdvHkT3377LRISElC1alVUrlxZDqsQQvzr6XQ6BAQE2LobQvxtUsATQgiRranVarRu3RqtW7e2dVeEEMKmSGLYsGGYPXs2jEYjjEYjxowZg6pVq2LLli0y40QIIYTIxtS27oAQQgghhBDin1u6dClmzZqFqVOn4vnz53j+/Dl27NiB8+fPo2vXrrbunhBCCCH+ASngCSGEEEIIYQfmz5+P5s2bY8SIEXB0dIRarcZ7772HGTNmYMuWLbh9+7atuyiEEOnuwIEDqFevHtzd3eHv749Bgwbh8ePHtu6WEOlOCnhCCCGyBZKIi4uD2Wy2dVeEEMJmnj17hkmTJqFy5cqoUqUKPv74Y7x69QomkwkXL15EZGSk1TORkZEgiQsXLtigx0IIkXE2bNiAmjVr4tGjRxg+fDhatWqF1atXIzw8XIp4wu5IAS+Li4+Px9atW7F69WpcvHjR1t0RQohMl5KSgunTpyNv3rxwcnKCl5cXhgwZgjdv3ti6a0IIkalu3LiBUqVKYfr06fD394evry/GjRuHMmXK4NGjR/D09MTVq1etnku95u3tndldFkKIDJOYmIh+/fqhadOmOHHiBEaOHIk5c+bgzJkzePPmDaZMmWLrLgqRrqSAl4Vt2LABuXPnRuPGjdGxY0eEhoaiXr16eP36ta27JoQQmYIkOnbsiDFjxiAqKgpffvklunXrhiVLliAiIgIJCQm27qIQQmSavn37wmg04tq1a5g/fz66du2KNWvWID4+Hh9++CE6dOiAJUuW4Pz588ozb968wZgxY1CoUCGULVvWhr0XQoj0tWPHDjx79gwmkwnDhw/HmTNnAAB58+ZF165d8dVXX9m4h0KkLyngZVFHjx5F69atUatWLVy5cgVxcXFYvnw5Dhw4gEqVKuHo0aMgaetuCiFEhjpx4gTWrVuH5cuXY+nSpWjbti1GjhyJTz75BMeOHZMXMyHEv8bDhw+xZ88eDB06FB999BHy5MmD9957Dy1btkRSUhI2btyIgQMHIiAgAGFhYWjWrBm6du2K4OBgnD9/HsuXL4dKpbJ1GEIIkS7OnDmDTp06Qa1W4+7du1i7di3CwsIwdOhQkISfn5+s1hB2Rwp4WdSsWbNQuHBhrF+/HgUKFMB3332HQYMGITY2FpcvX0alSpUQHh6Ohw8f2rqrQgiRYTZv3oycOXOibdu2iIuLQ69evZAzZ0506dIFADB06FCLmSZCCGGvnj17BuBdXly/fj1mzJiB27dv48iRIyhdujRI4uzZszh8+DA+/vhjPHr0CGfOnEHbtm3xn//8B+Hh4TaOQAgh0sfVq1dRsWJFhISE4M6dOzh58iTu3buHWbNmYdasWfjmm2+wadMmyXvC7kgBL4s6duwYmjRpAo1GgxMnTqBt27aIiorCrVu3kJycjF27duHBgwdo1KiRzMQTQtitxMREODo6QqPRoE2bNlizZg3GjRuH06dP4+uvv4aXlxeqV6+O+/fv27qrQgiRoYKCgmAwGPD9999j3rx5GDRoEAICAlCxYkVs374dwcHBWLVqFVxcXDBo0CAcPXoUp0+fxrx58xAcHGzr7gshRLp4+/YtypYti4SEBCxfvhy5c+cGAGi1WgwZMgSVK1fGwIEDcfToUQwbNszGvRUifWlt3QF7ZjabsX37dqxbtw7R0dEoXbo0nJ2dsWXLFjx69AiFCxdG//79Ua9ePatnXVxc8OjRIwDAvHnzEBQUhC+//BJa7bt/ZVFRUVi5ciVq166NAwcOoHr16pkZ2l9y7949REdHIyQkBA4ODrbujhDCRp48eYJff/0V7u7uKF26NO7fv4/Fixfj9OnT8PDwQLt27VC3bl2LJV41atTAvHnzsHz5cmzduhXr16/H+++/DwAoVaoUateujZCQEHz66af4+OOPbRXan/L27Vvs2bMHsbGxCA8PR/78+W3dJSFENuLq6gpvb2/cv38fbdu2tbin0+nQtm1bLFq0yEa9+2tMJhNOnTqF2NhYlCxZEh4eHrbukhAim1i6dCliYmLg4OCAUqVKWd2vUqUKTpw4gWXLliEiIgJbt27FmTNn4OHhgZYtWyJnzpw26LUQ6UNm4GWQlJQUtGrVCo0aNcLVq1eh0+kwd+5cjBkzBjqdDu3atUN0dDTq16+PadOmWT3//vvvY/369bh06RJOnjyJ+vXrK8W7VDVr1oSTkxNOnjyZWWH9JadPn0blypWRN29eFCtWDP7+/hg3bhxMJpOtuyaEyETx8fHo1q0bcufOjTp16qBcuXIICAhAgQIF8Pnnn8NgMODixYuoV68eOnToALPZrDxbr149hIWF4YMPPoCTkxNatGhh8dmenp5o0qQJvv/++8wO6y9ZtmwZ/P390bx5c3Ts2BEFChRAixYt8PbtW1t3TQiRRbx8+RJz585Fx44dMWjQIJw+fdri/saNG/HgwQMASPNAs9evX8NoNGZGV/+RnTt3In/+/Chfvjxq1qyJXLlyYdCgQUhOTrZ114QQ2cDGjRsREhKC+Ph4XLp0yer+sWPHULp0aVSvXh2hoaFo3LgxFi9ejOHDhyNv3rz49NNPbdBra2fPnkXLli3h4uICV1dXtGrVCufOnbN1t0QWJwW8DLJ06VJs3rwZmzZtwsmTJ7Fu3Trcu3cP4eHhuH37NsaPH4+jR49i1KhRGD16NG7dumXx/MCBAxEcHIxy5crh1atXuHPnjtXPePbsGeLj4+Hu7p5JUf15V69eRY0aNfD27VusX78eBw8eROfOnTF58mQMHDjQ1t0TQmSizp07Y926dfj4449x48YN/PTTTwgODobJZMLOnTuxZcsWnDlzBl9++aXyJ5VGo8GuXbuQkpICk8mElJQUq89PTEy0GuDISnbt2oVu3bqhWbNmuHnzJt6+fYvly5dj9+7d6Natm627J4TIZNeuXcOwYcPQpEkT9O/fH//5z39w7Ngx5M+fH8OHD8e1a9fw9ddfo3Tp0hgxYoSyVcrYsWPh6uoKBwcHfPzxxxZbqNy/fx+rVq1C8+bNbRXWn3L06FE0atQIBQoUwMGDB3Hp0iWMHDkSn332mbwfCvEvdOPGDaxevRobNmxATEzMX3rWz88PvXv3xqtXrwAAJLFy5Urs27cPPXr0QMOGDUESJ0+exKNHj/D48WP06dMHH3zwAfbu3ZsR4fwpDx8+RN++fVGuXDmcPn0aI0aMwLBhw3Dq1CmEh4fj+PHjNuubyAb4N0VHRxMAo6Oj/+5H2LXSpUuzXr16bNiwIZ2dnQmA7u7ubN++PQFw+/btJMm3b9/S2dmZU6dOtfqMV69esV27dgRAjUbDo0ePKvfMZjN79uxJo9HIFy9eZFpcf1bXrl3p7+/PmJgYi+sff/wxVSoVK1asyLx587Jo0aJ87733OGrUKJ44ccJGvRWZwV5zhr3GlV4uX75MAPziiy+4Y8cOtmjRgnXq1OHAgQPp7+/Pdu3aWbSPjIxklSpVLK6tXbuWAAiAn332mcW927dv08HBgZMmTcrwWP6uGjVqsGLFijSbzRbX58+fTwD08vKi0WhkuXLluG7dOhv1UmQme80b9hpXelq7di3VajUNBgN9fHzo5OREAHR1dWXFihX56NEjkmRycjJnzJhBANyyZQtJ0tXVle3atePcuXMJgJGRkVyyZAnHjRtHLy8vOjo68uHDh7YMz8rNmzfZvXt3ent7093dnTlz5mTRokWZnJxs0W7GjBnUaDQ8deqUjXoqbMFec4a9xpWeYmNj2bhxY+V7LgDqdDq2aNGCcXFx//XZefPmEQAnT55MFxcXOjk5MTIykgULFiQA+vn5cc+ePQTAw4cPWzxrNptZokQJNmzYMCPD+0PLli2jVqulTqdjqVKlLGKNjY1lqVKlrN6Dxb/Dn80bUsDLIB4eHtTpdNRoNOzTpw/XrVvHDz/8kI6OjtRoNJw9e7bSNigoiEOHDrX6DJPJRHd3d+r1egYEBFCn0/H999/n6NGjWaxYMQLgokWLMjOs/+n69evcvn07fXx80oypX79+BMDq1atz1KhRrF27NgHQaDQSANu2bWv1Uifsg73mDHuNK70sWbKEABgSEqJ8aS1Xrhw9PT0JgI6Ojrx06ZLSfvjw4QwKCrL4jEqVKtHd3Z1dunShWq1mz549uWXLFs6cOZM+Pj7U6/V8/vx5ZodmxWw2c926dSxUqBCdnJxoNBpZokQJGgwGzpo1y6Lt27dvWbJkSRqNRvbp04dz585lREQEAbBEiRLcs2ePVcFP2A97zRv2Gld6uXfvHtVqNQHQYDAoAxOp14KCgjh9+nSLwc/w8HBGRkaSJH18fFi9enWS5Ndff83SpUsTAJ2cnKjRaFinTh2bxPVHzp8/TxcXFxqNRgYEBLBKlSrUarWcNm2aRbuEhASlgKfT6RgYGMiGDRuyU6dOXL9+PRMTE20Ugcho9poz7DWu9NSyZUvqdDp6eHjwvffeo6enJ1UqlVLQMxgM7Nq1KwcNGsRu3bpxwYIFyu8zJSWFXl5e1Gq1fP/999mwYUMGBARQpVJRpVLx6NGjnDNnDh0dHdN8lxo6dCiDg4MzO2Ru376dAJgzZ04C4Pr1663afPnll8rvoFChQvzkk0+YkpKS6X0VmU8KeDYUGxtLnU5HANy4cSOTk5P5/PlzJiUl8fDhw8oLW3BwMAcMGEAA/Oqrr6w+Z+XKlQTA7777jnFxcZw5cyZLlChBPz8/qtVqqlQqxsbG2iDC/2M2m7l7926+//77zJUrlxKbTqfjkCFDLNqeOnWKADhnzhyL6ytWrCAADh06lBqNhlOmTMnMEEQmsdecYa9xpZclS5ZQrVZTq9Wydu3aXLZsGT/55BPu3LmTw4cPV3JG4cKF+fPPP1t8WU1VvHhxVq5cmSkpKZw6dSr9/PwIgHq9nr6+vvTw8LBRdP/HbDazY8eOSqzt2rXjtGnTWL16dWq1Wqt8OHfuXGq1Wp4+fdri+kcffaS8wHbo0IEmkykzwxCZxF7zhr3GlV5SV1Wo1WoGBwcrs+8AKDMytFot/f39ee3aNZLkkCFDmD9/fpL/Nwi6b98+5TNTUlI4fvx4AshSs9fi4uLo6+urDNq2bNmSbm5u1Gq1HD16tNIuISGBNWvWpFqtZt26ddm7d2/6+/tTrVYzKCiIAFiyZMksMUgj0p+95gx7jSu93Lt3TxnEDQwMpEajoZeXF+fMmcPvv/+eI0aMoE6nU77vFihQgBqNhr6+vjxz5gxJ8sGDBwwJCaFWq1VyqIODg7KSIbUQdufOHauf37BhQ1aoUCEzQ+auXbuo1Wrp4uLCmjVrEgB//PFHizY7d+5khQoVqNPpGBISoswozJUrF4cNG8bbt29nap9F5pICng2tWrWKAJgnTx4OHTpUmWni5ubGgQMHMiwsjB4eHixRooRS7Errpat169bMmTNnmiMHqf/hP336NDNCSlNycjJbtWpFAHR2dqanpydXrlzJ+/fvs379+vT29ubLly+V9oMHD6avr6/VDDuz2cyCBQuyc+fO7NGjB3PlyiVfWu2QveYMe40rvXz66afKF9bUXKjX65UXNycnJ+r1evr4+CgvYZs3b7b4jJ49e9LZ2Zlv374l+e4L6+PHj/ns2TPlRcjWtm7dSgBUqVTcv3+/xb3y5cvT1dWVN2/eVK5VqFCBjRs3tvqcmJgYGgwGtm3blgC4YsWKjO66sAF7zRv2Gld6CQgIoIeHB318fAiA3bt356FDh7hr1y7WqlWLKpWKOp2Oer2eKpWK27ZtY5UqVVi7dm2S74pd/v7+1Gg0bNOmDadOncpq1aoRAJs2bWrj6CyNGzeOOp3OIh++fv2aPj4+9PHx4bNnz0j+32DGb9slJSWxWbNmdHd356FDh+jl5cX3338/02MQGc9ec4a9xpVetmzZQo1GQ29vbzo4OFCr1SqDFqm+/vprZYBDpVKxd+/eDAsLY1BQkMV3yTNnznDp0qXcvHmzxXLUN2/e0M3Njc2bN2dSUpJyfffu3VSr1Vy4cGHGB/qbvri7u7Nu3bp8+/Ytk5KS6Ovryx49eihtUgdiwsLCOGDAAFaqVIkA6O3tzaZNm9LNzY1OTk4WAzjCvkgBz4ZGjBhBJycnZdnAkCFDuGnTJuW6q6ur8kU1X7581Ol0dHJy4qtXryw+p3fv3sydO3eaBbyIiAg6ODjYtND16aefUq1Wc9SoUVYjwjdu3KCHhwfz58/PpUuXcteuXSxQoABLlSqV5mdFRESwcePG/OqrrwiAr1+/zqwwRCax15xhr3Gll969e9Pd3Z1qtZr16tXjtWvXaDabefjwYRYoUED5opq6jF6lUrF06dIWn3Hr1i1qNBq+//77yu85JiaG7dq1o1qt5n/+8x9bhGahSZMmdHd3V75o/9atW7eo0+no7OzMfv36ceLEiXR2drZ4cUtlNpvp7u7OKVOmMCoqipUqVcqM7otMZq95w17jSi9eXl5UqVTU6/Xs16+fxb2UlBSWKVNGWUaaug0LAG7YsEFpFxcXx06dOtHd3Z0Gg4G5cuWyWqKfFQQGBrJLly5W1zds2ECNRkN/f39+/PHHDAgIYIsWLaza3bx5U1mhMn/+fGq1WqXoJ+yHveYMe40rvezbt0/JbwaDgfXr17dqYzKZ6OnpSbVaTaPRSJVKxTlz5ljsJf+/bNq0iVqtlnny5GG3bt2UrZvee+89i6JeRlu1ahVVKpXFDLpZs2YRAEeMGMHvv/+eADhhwgSL5xYtWqRsr+Dp6UkPDw+6ubkxISEh0/ouMo8U8Gxo/vz5yn4mO3bssLh38OBBZTTht5t2pu4D99v/sHfv3k0A/P777y0+49q1a1Sr1TYfbS1WrBhbtGjB0aNHpzlT8Pz58xbLatVqNdVqNe/du2fR7sWLF8o+B2PGjKGzs7Psg2eH7DVn2Gtc6WXo0KHKHie/35T4119/VZbPpg5qpBbxvL29LXLFunXrlOURYWFhdHBwoEaj4YIFCzI7pDRVrlyZvr6+7NChQ5r3vb29mTdvXrq7u1On0ykx/v53krrp8r59+zh69GjmyZMnM7ovMpm95g17jSu9lC1bVlkif/bsWav7ixcvVt4Hy5UrRycnJ+p0Orq7u3P9+vXZal9MBwcHzp071+p66v9HUveq0ul0FktqU5nNZmo0Gvbv35/Hjh0jAGXpnLAf9poz7DWu9JKUlESNRkOVSkW1Wp3migSTyUQvLy/q9XrWr1+fLi4uynvi9OnT//TPOnv2LLt168awsDDWrl2bK1euzNTiHUlOmTKFOXLksLhmNps5duxYZdstDw8Pq/0+zWYzQ0JCGBgYyKlTpzIyMpIA2KBBg8zsvsgkUsCzoadPn1KtVjMkJCTNl62wsDC2atWKe/bsYUBAgMXa/d9W500mEytXrkxnZ2dOmzaNR48e5cKFC+nr68scOXLYfJaaq6srZ8yYwUmTJtHV1VUZDUhISOD69evZoUMHurm50dXVlU2bNmWdOnWo0WhYqlQpZcnwuXPnWLlyZWXvAycnJ/bp08eWYYkMYq85w17jSi8nT56kRqNh27Zt07wfGBioLBdNnYlXokQJGo1GqtVqbty4UWl77949TpgwgW3atOHYsWN59+7dzArjf+rZsyednJzo7e2tLPU1m808ePAgw8LClJfUXLly8YMPPlD2uqpZsyaPHz/OV69ecd26dfT09KRGo2HDhg1ZuXJl1qhRw8aRiYxgr3nDXuNKLxs2bFC+gJ48edLqfuqWA6l/atWqxZEjRypLqX6/l2ZWVqpUKeVLptls5tGjRzl//nzl1Mn69etz27Zt1Gg0DAsLs3pfTp2RAoBFihShWq226bYxImPYa86w17jSU61atZT/xg0Gg9VedVu2bCEAZcD2t7nRYDDwwIEDNur5X5ea+y9cuMC4uDjev3+fCQkJNJvNLFKkCAGwePHiaT5br149i4Jd6izEtAaBRPYmBTwbq1atGosWLZrmvSpVqijLBVJnoPTq1YsNGjQgALq7uyttY2Ji2LVrV+W0MrVazcjISKtZbJnJZDLx6tWrLFy4MBs3bswLFy4QAOfNm8fr168zJCSEABgQEKCMlnh4eChJN3fu3Mref6n7YDVo0IBeXl7UaDT87rvvbBabyDj2mjPsNa70FBgYyPDwcKvrb9++pZOTE8eMGUMArFKlivJ7fP36NVu1akWtVpvmBsRZiclk4s8//6zMJqlVqxZPnTrFrl27KvuhVq5cmXq9ng4ODjQYDNTr9WzXrh39/f0tXkorVKjAUaNGKQXM3y6dE/bDXvOGvcaVXsxmM8uWLUutVssOHTpYFK3i4+NZtGhRZQXH7/e/TF1u9fuDb2wpJSWFN27c4IMHD6zuLVu2jAD40UcfsXz58so77G9Xn0RFRSm5r3///nz58iXNZjMPHTrEgIAAli5dmlu3bqXRaGS+fPlsEKHIaPaaM+w1rvT09u1b6nQ6enp6KidVL1myhEePHuWkSZOUwp3BYGBgYCC3b9/OmJgYHjlyhGXLlqXRaEwz99hCfHw8Fy9ezFq1arFChQocMmQIb926pdxPSEign5+fsudfamGyWLFiBKAM3t6/f9/ic2NiYujq6soxY8Yo15KSkujl5cWRI0dmVngik0gBz8bWrl2b5ovWlStXqFaruWjRIuVagQIFOHDgQJLvDnpQq9VW+5m8evWKZ8+e5ZMnTzK+83x3ku6GDRu4cOFCHj16VHnJ3LhxIwsUKKC8cGm1Wvbs2ZN9+/ZVElBISAh//fVXku8S2pQpUwhAOXjj9OnTbN68OfV6PefMmaNMF46NjWX16tUZGBgox2XbIXvNGfYaV3pat24dAXDbtm3KNbPZzJEjRyr5DoCSN1K9efOGjo6OHDduXCb32Nr+/fvZvHlzFi5cmNWrV+fKlSuZkJDAqVOnKlsFODo6Uq1WW4wUL168WNmr9PHjxyxXrhxz5sxJjUbDli1bcsSIEXR0dOTSpUt58eJF5eel7gd67NgxW4UsMpC95g17jSs9mc1mpXDfoEEDbtq0iStXrmSpUqWUAlehQoWsZqQlJyfTy8srS8zCM5vNXLBgAfPkyaPkuvLly3POnDkcMmQIhw4dygMHDrB58+bUaDT08/Pjrl27aDKZeOPGDeW6o6MjNRoNa9WqpcxKdnd3JwAWK1ZMGbwZPXo0nZ2drbYcENmfveYMe40rva1YsUJZoeDo6KhsMfD7GXe/3+v45cuXdHBw4NixY23U8//z5s0bhoeHU61WMyoqiu3ataOHhweNRiN79OjBL7/8ko8fP6aLiwudnZ05YcIEbt++naNHj6bRaKSLiwtnzJhBjUbD8PBw5V3w5s2brFOnDh0dHa0GskNDQ2XFmh2SAp6NJSQksGjRovTz8+PSpUt5/vx5rly5knnz5mVISIiyxCoxMZGenp786KOPSJKPHj1SlpLZapbdpk2blBeo1JfJChUqcOnSpcqyhx07dnDnzp1s2LChMsMu9VS1vXv3Wn1m9erVWalSJep0Onbt2pW5cuWy2sCZJI8ePUoAVqc4iuzPXnOGvcaVnlJSUtioUSOq1WrWr1+fo0aNUmZkdOzYke7u7vT29k7z2UqVKrFhw4aZ3GNLn332GQEwNDSUAwYMYJ06dQiAefPmpUajYffu3bl+/XqOHDmSrq6uyib0aR1ocerUKQJgrly5qNFoWKhQIbZv396qXUpKCt3d3Tl58uTMCFFkMnvNG/YaV3qLj49noUKFLPb+TC3++/j4MCoqKs3nSpYsmebBEJlt5syZBMD27dtz9+7dXLZsGd3c3JQZx6kFSkdHR2VPz99KTk5mUFAQK1euTAB0cnLiJ598QgDs2bMnd+/ebXFIW+py2t+e5C3sg73mDHuNKyNcuHCBuXPnpkqlokajUfKio6Mjvb29WaBAgTSfa9y4MStVqsRLly7ZtLg/ZswYOjo6KgOuBw4coJeXl7KqLnW2HQD+8ssvFs+m7nvs6elJJycnZUDY09NTKWRu3rzZ4plLly4RAFevXp1pMYrMIQW8LODRo0ds2LChMpoAgGXKlLHYtyl15sn58+dJvqviA6Ber+eUKVMyvc+p+1U1b96cN27coMlk4s6dO+nv708nJyfWrVvXYlTYbDazQYMG1Gq1SrEvLi6O0dHRFu0mTpxIb29vBgcHKwXKevXqWc0ofP78OQFY7Hsl7IO95gx7jSu9xcbGsmrVqtRqtcrpiqlbA6Tugfn7zXvj4+Pp5ubGTp068dWrV9y4cSPXrVtntcQgIz148IBarZb9+vWzyGkff/wxAXDlypUW7U+fPk2VSkUnJ6c/HBnWarUMCwujh4cHtVotW7VqZdUmMTGRLi4unDZtWvoGJLIEe80b9hpXejOZTPz6669Zrlw5ZVaGXq+nWq1mkSJF6OTkxJcvX1o8c/fuXarVataoUYMlSpRg2bJlOXXqVL569SpT+/7mzRu6urqyf//+yrVOnTrRzc2Ne/bsodlsptls5jfffEO9Xk+dTsdff/2VV69etcih/fv3Z6FChQiA+fPnV94Nf7tCJdXMmTOp1+sZExOTKTGKzGOvOcNe48ooZrOZixcvZqVKlVimTBklNzg5OdHLyyvNQydSB4JTC2WjRo3K9MMpSDJ37tzKbLgnT57Q1dWV1atX57Vr10iS169fZ7Vq1ajVatmsWTNWrVqVnTp14s8//0yz2azkPwCsUaMGc+XKxeDgYHbo0IHOzs4MDw/niRMnmJyczL179zIkJIR+fn6Mj4/P9FhFxpICXhaxZs0aZW+P6tWrU6vVsk2bNpw+fboyi+O3yyE+//xzqlQqFipUiD179uSaNWtYpUoVBgQEsEaNGtywYUOGnkLWrl07BgcHW50Cm7oEbsuWLVbP7Ny5kwCUI75Tpz2Hhobyyy+/JEk2a9ZMGZ0tVaoU69atS4PBQE9PT+VAC5L88ssvCYCXL1/OsBiFbdhrzrDXuNJbt27dqNfrOX36dB45coSDBw9mwYIFlZcWlUrFQYMGKbknKSmJ/fv3JwAOGjRImcmRWvDr2bNnpryozZ49m0aj0erQoJEjRzJHjhxpLvdPXQ7m7OzM4sWLc/r06Xzz5g3Jd4MkqXuA5siRg66urlSr1VanjaeeRpk6uCPsi73mDXuNKz2ZTCa2adOGAFixYkV27tyZefLkUWbfaTQaOjk5sVq1arxw4QLJd3mjZMmS1Gg09PDwYNeuXdmqVSsaDAYWLFgw07ZXIf9vef+PP/5Iknzx4gX1ej1nzpxp1XbYsGEWS+GKFi3KPXv2kHw3e6ZkyZIEwMDAQPr4+NBoNDJHjhzKF1/y3ewcT0/PPzwISWRv9poz7DWujPDkyRNWr17dYsmsp6cnGzVqpPzz/PnzLZ754YcfCLzbQ37//v0cOnQotVotO3funGn9jouL47Rp05T3vapVq7Jt27Y0Go189uyZRdsXL17QYDDQy8uLbdu2VSa0zJ07l0WLFlXiLF68OAcOHKhsO1WwYEFlgkzqH71eLydy2ykp4GUR4eHhjIyMJPluRsWsWbOU0dXU5VN79+7llStXOG3aNBoMBrZs2ZIGg0EZWYiIiODIkSNZrVo1AuDgwYMzrL8FCxZkhw4d+PDhQ4vrt2/fJgB+++23Vs9s375dWf4REBDAuXPn8ssvv1SW1/bo0UMp7O3YsUN57unTpwwLC2P+/PmZkpLCPXv20Nvb+w+XjojszV5zhr3GlZ7u3btHtVrNuXPnWlxPTk5m8eLF6eTkpLyg+Pv7s2HDhsqS/Hz58hEABw4cyLt37/LFixecM2cOdTpdhuZC8t0p2TVq1KCbm5vViZEffvghc+fOneaASuPGjens7Mxhw4axTZs21Ov1LFu2LK9fv87ixYtTq9XSxcWFvXv35ocffqjside3b19u27aN/fr1o0ajYadOnTI0PmE79po37DWu9JQ6IPr1118r15KSktiuXTs6ODjQ3d1dKeIBUGYqa7VaBgYGWgwmXLt2jV5eXuzevXuG9jkhIYGbNm1ilSpVLL5MRkREKO+Ax48ft3oudYB3w4YN/O6775SB7AULFlCtVtPV1VUZ2B4+fDgLFixIlUpFlUrFOnXqsFatWlSpVPT29s7UIqXIPPaaM+w1rvRmNptZuXJl+vr6cvPmzUxKSuLVq1fZrFkzajQai4HeBg0acPbs2ezQoQM1Gg1LlixpMeFkwYIFBMArV65kWH+fPn3KS5cu8eXLl6xevTr1ej3bt2/PqVOnskaNGgTASpUqpflstWrVlBUXJpOJQ4YMsVilN2LECIt3ytRJLQAYEhLCsLAwApCVGXZMCnhZhI+PDydOnGh13Ww2Ky9kv62od+7cmXXr1qXRaCQAfvHFFxbPpR4d/fsvk/+U2Wzm1KlTlRfF1AT0888/k3yXsLRaLWvXrm2xL4nZbGbdunWp1Wrp4+NjteSjd+/e1Gg01Gg0bNeundXPPXjwoDJFGgDDw8OtRi2EfbDXnGGvcaWn1Bkbaf23PXXqVLq4uLB8+fIWLzIqlYo1a9ZkoUKF2LhxY6vnxo0bR0dHxwxZPhYXF8dy5copy331ej0BsHHjxso+K1u2bCFgvV/no0ePaDQaLfL+qVOnlOVxKpWKPj4+FsuAY2NjWb58eeXvgxw5cnDChAlWM6GF/bDXvGGvcaWnOnXqsHr16lbXHz9+TI1Gw1mzZrFMmTLK1iQqlYrOzs4EwO3bt1s9N378eDo6OmZYvlizZg29vb2V3KzVatmyZUsuX76cQUFBzJUrF1UqldX7KklOnz6dBoNB2fc5OTmZpUqVUrZQ0Ol0Fu+zJpOJbdu2pcFgoIeHB9VqNXU6ncUBP8K+2GvOsNe40tuRI0cIwGKCB/kuV+TPn5+tW7dmx44dlUNuUnNCgQIFmJCQoLR/8OABe/bsSa1WS71ezxo1anD37t3p1s8bN26wXr16yntq6p52qTORU5UpU4a+vr5WqzNSUlKYN29e9u3bV7mWkJCgDNj80SE9JUqUYKlSpRgQEECdTsdx48Zl6Eo8YVtSwMsiSpcuzUaNGlldT11G1a9fP6rVahqNRhYrVowGg4GOjo6sU6cOCxQooPxHunv3btaoUYNGo5E6nY5BQUFWs+T+rmfPninHWKf+KVmyJIsVK0YHBweeOnWKffr0oVarpUqlYkREBL/55ht+++23jIqKUmbfpR7E8VvXr19X7s+ZM8fqfuqefy1atOD+/fslKdkxe80Z9hpXekotdl2/ft3q3vDhw5UDLK5fv85x48Zx6tSpfPjwofK7TV2KT7574ZkyZQrz5MlDlUrFPHny8PPPP7cYWPgnkpOTWaBAAarVajZr1owTJkxQZj+n7oV3//59tmjRglqtll5eXly0aBGvXr3Kb775hvnz56ePjw+fPn1q8bkdOnSgwWCgWq1Oc/R0165dBMB169bZZA8XkbnsNW/Ya1zpqUSJEuzdu3ea93x9fTlhwgSS7wYDdu3axSNHjijLxX4/s+TJkyds2rQpNRoNg4ODOXTo0HQdBE3NS++//z7Pnj3Le/fuccaMGdTr9ezTpw9v3bpFnU7HPHnyMHfu3Lx165by7IULF+jl5cWOHTtafObnn3+uDFqntSz2zp07BMDly5fT1dWV77//frrFI7Iee80Z9hpXeps7dy6NRmOa73BDhgxhcHAwyXcFsKtXr/L27dssXLiwxazjhw8fMm/evPTy8uKwYcM4e/ZslilThgC4YsWKv923N2/e8M6dO7x79y79/f0ZFBTEJUuW8MCBAxw9ejT1ej2bN29u8cyBAwcIgB9//LHF9dQ971MPukhVtmxZZbVJWlq0aMFatWrx+fPn9PX1/cO/O4R9kAJeFrFo0SKqVCquX79eKU49f/6c4eHhDAgIYHJyMm/fvs0JEyawe/funDlzJp8+fcqmTZsyIiKC5LsjtoF3J8HOnj2bw4YNo5ubGz08PPjo0aO/1J+nT59y2rRpbNSoEZs3b84vvviCJUuWpIeHBz///HOePXuWK1asYN68eRkcHMyQkBB6eHgQAD/77DNu3brVYq1+aGgoN2/eTAcHhzS/lKaequvn58cmTZpY3U9dXpHW0gthX+w1Z9hrXOkpddPzHj16WBTpHz9+TB8fnz98IUlISKBWq+WsWbNIviuuRUZGUq/Xs1OnTvzkk0/YrFkzqlQqtm7d+i/369mzZ/zss8/YtWtXNmvWjKNHj+a4ceMIgDt37rRoO378eGUwAgCdnZ25bNkyNm3a1GLmoEaj4blz56x+1tixY5kjRw4C4Nq1a63uX7x4kQA4YMCAvxyHyH7sNW/Ya1zpqXXr1ixQoIDVF9azZ88SADdt2mT1zKNHj6jRaCz2gbp+/Tpz5cpFBwcHtmnTRtl+xd3d3aKQ9meYzWbu37+fHTp0YPHixRkaGsoWLVqwaNGirFSpktXg6vTp06nT6fj48WNGRkYSeHdipE6n43vvvceIiAiqVCrmy5fPajBj/vz5yrLY0aNHW/UlJSWFGo2GCxYsYJs2bf5wOZqwD/aaM+w1rvS2fPlyqlSqNJfIv//++yxVqpTV9Q8//JAeHh5KbunXrx9z5MjBe/fuKW1S9xo1Go3KHsR/xsWLF9m9e3f6+/sr+3dqNBo6ODjwwYMHFm1T97k/ffq0cs1sNit7NpctW5b9+/dXiom/f79L3RevaNGiVKlUVoPccXFxzJEjh7JdzJAhQ5grV64/HYvIfqSAl0WkpKSwdevWBN5t3hsVFaXscfL7o6R/a/LkyXR0dOS9e/fo7u7O9u3bW7xA3b17l25uboyMjGSDBg1oMBjo4ODAli1b/uGm5+vWraOjoyMNBgMjIiJYuHBh5Utn6lLZVNeuXaNGo2GjRo2o0WgspiGbzWbeuXOHd+7cUfrUoEEDFi1a1GrmyLRp06hSqfjRRx8RABcuXKhMK7548SIDAwNZpkwZmXn3L2CvOcNe40pvqbMuIiIiuGTJEk6aNIn+/v708/PjnTt3/vC5Fi1aMDAwkM+ePePGjRsJQNkEPVXqgQ9Hjx61uG42m3nz5k3evHnTIsdER0fzgw8+oF6vp1arpZ+fnzLDTqVSMTw83KofcXFxdHV1JQCOHz/e4t/3vXv3uG/fPm7atCnNvULNZjOLFy9OlUpFnU7Hli1bWn3+tGnTqFar//DkWmFf7DVv2Gtc6Sl1yVivXr2ULQAuXrzIEiVKMCAg4A9n4LZr146urq785ptvmJKSwoiICKvVGHfv3mXOnDlZrFixP9WXR48eccyYMfTy8iIA5s2bl+Hh4dRoNMrWAZ988onVc6mz5FL3tatduzZfvXrF2bNns06dOqxTpw6dnJzYoUMHi+cSEhJYpEgRZSAkdUbLtm3blFPIt23bpsxUqVWrlrKPtLBP9poz7DWu9PbixQsajUb27t3b4j0tdeuRGTNmWD1z//59+vj4MF++fFy6dCk9PDw4dOhQq3aXLl0iAH744Yd/qi+rVq2iWq2mwWBgjhw5OGPGDO7atYv+/v5s06aNVfvk5GS6ublx8uTJyrXU/D5u3DjWr1+foaGhrFmzpnICbeoM6UePHjEqKkopEup0OhYrVoz/+c9/SL7bez71+33qoT6jR4+mj4/Pn4pFZE9SwMtCzGYzd+7cyfbt27Nhw4acPHny/5w59/jxY7q6uirHaKe1IefgwYOp1WoZGhrKGTNmcMqUKQwODqaLi4vV6TQzZ86kVqtlWFiYMmJhNpsZERHB/Pnzp9mHmjVrMjQ0lHq9/n8W2H7++WfqdDrWrl2bP/74I3/99VeOHj1aSUwffvihcqKOn5+fsmTXwcGBN27c+K+fLeyDveYMe40rI2zatElZLmA0GtmxY8f/OVPk2rVr9Pb2pp+fHwsWLMjSpUtbtUlJSaG3t7fFdgXffPONkj8BsFChQty0aRMXL15MBwcHqlQqtm3bVsmHV69eZZkyZajRaP5wyVZgYCABWIzy/l61atXo6+vLbdu20WQy8eHDh+zSpQsBcMqUKcpp3fnz5+fs2bP5/PlzfvHFF8q+p4cPH/7fv0iR7dlr3rDXuNLb4sWLqdPpaDQamTdvXgJgnjx50py9myomJkaZ7Za6J96yZcus2n366adUqVS8fft2mp+xcuVKzpgxg4sXL6afnx8NBgNVKhVXrFihvOvdu3ePRYsWpUaj4fjx460+58yZM8qgrEqlSrMfqYM2zZs359atW7lmzRqGhYVRo9EwLCxMKRqm/vHz8+PEiRPp5+fHypUr8+DBg1SpVFy+fPlf+dWKbMZec4a9xpURUg+fKFeuHCdOnMjOnTvTaDSybNmyyv6Zv3flyhXWrVuXKpWKarXaaskq+W7FG/DuJNc/YjKZmJSUxHv37lGr1bJ8+fLUaDS8dOmS0qZ8+fJprvJITk6ms7Mz+/fvz8TERG7fvp158+ZlsWLFrPbAS12tptfrGRwcrOwP7+bmRmdnZ7q7uyv7wafmdzc3N2Xf07i4OAYFBclp3HZOCnh24PDhw8oI6O8PhyCpHF2dOmpJvluqFhoaqiy/Jd+NYqS+IP1+hkq/fv0YGBiYZoGuYsWKdHFxSXMD+bTs3r2b+fPnV36W0WhURjJ++5KWK1cuZRlu6l4vwv7Za86w17gyUlJS0l/as+7WrVvs2bMnNRoN69atm2abAgUKKHvPffPNNwTA9957j9999x23bdvG9957z6KYlytXLquZLjdu3FBemn7/0pi6vK1o0aL/ta9Pnz5llSpVlBHV3y671Wq11Gq1fO+995TTFVMPrjAYDGkuVRP2yV7zhr3GlREePXrEuXPnctSoUVy/fr3Fhux/xGw285dfflFWdqRV8P/++++Vd63fDpB88803dHFxoUqloqurK9VqNUNCQliiRIk03/MOHTpEAPT19bVYBmsymdiyZUu6uLjQzc2NpUqVSnPzdZJcuXIlQ0JClNzr7e3N5s2b02g0MleuXNy5cyeTk5N57tw5RkREUK1WM3fu3GzdujUNBgOrVav2p34vIvuy15xhr3FllN27dzMyMpLe3t4sWLAgJ02a9KeWvj59+pR58+ZlWFiY1Xtl6iACAPbu3dvi/oMHD9i1a1dluaufnx8dHR1Zs2ZNRkVFWXxO6kFBvz18jCRXr15t8f02dburPxrkffbsmXK4o6urKzt06EAvLy/l5O3Ud8YcOXJQpVJxyJAhPHXqFL/77jtWqFCBDg4O/PXXX//sr1RkQ1LAsxN9+/ZVRjl/y2QysXjx4tTpdGzcuLHFEtilS5cqRb+UlBSWK1eObm5uBGBR7COpbIy8bds2i+vHjh1TvoD+lRNvTSYTT548yerVqyv7BlSoUIFHjx7lmzdvuG3bNubOndvi9N2IiIgMPfJbZA32mjPsNa6sqECBAjQYDFZ7Kp07d04pggUGBjIkJIR169ZVimExMTGcO3cuDQYDK1SowCpVqqS5HIKksu9JzZo1ef78eZpMJu7du5dBQUE0GAx/6uXJbDZz/fr11Ov1DAoK4po1a1ihQgXmzp3bYlbMuXPnlNysUqn4/fff/4PfjshO7DVv2GtcWc25c+eoVqs5btw4q3tDhw6lq6srAwICWK1aNaW9Vqtl8+bNeffuXWWj9dWrV9PT0zPNPYyTk5OVgQcfHx+OGzeO8+fPV2ZR6/V69uzZM80B5t+aPn06tVqtMpNk+/btaW7dEhcXp8zKy5UrFydNmvSHhUFhP+w1Z9hrXFnR2LFjCYCtWrXiuXPn+PTpU3722Wd0cHBg69atlVnJqYcpPn78mAEBAfT19eX48eM5ZMgQGo1GhoaGsnbt2mzQoIHF5z99+pS5c+dmnjx5uHDhQu7bt48jRoxQDrHYvn07ly9fzmPHjv3XQdjk5GT6+/szIiKCcXFxXLlyJQFw5MiRfPnyJZOSkvjll1/S2dmZoaGhyio24N3hkrJCw/5JAc9OpE7pNRqN/Pzzz/ns2TOeO3eOLVq0oEqlYvPmzVmkSBFqtVp+9913JN9N0wXAhw8fslu3blSpVKxUqRIB8KeffrL4fJPJRF9fX+r1en744YfcsmULx44dS2dnZ7q6unLv3r1/qb+JiYnK7BN3d3c6Ojoqe7ykOn36NAFw8uTJXLlyJfPnz08/P7+/fCCHyF7sNWfYa1xZ0SeffEKNRsOSJUty3759fPXqFb/77jsGBQUxX758vHr1KnPmzEkA3Lp1K8l3pzQWKlRImf02e/ZsNm/ePM2NkaOjo2k0Gunj40NfX1+r5V2/n8H833To0IEBAQGMjY3lvXv3CKR9GtqUKVOoVqupVqv5/vvvp9tpuiJrs9e8Ya9xZUV+fn7U6/Vct24dU1JSmJyczJUrV1Kn03HEiBHcsGEDAfDy5cvs0aMH/f39mZiYyNWrVyuzgo8fP86wsLA0Dxk7fPgwAbBr167KlicajYbVq1fnV1999adnxhUrVsxi+dlHH31ELy+vNNt27tyZBoPBYk8pYd/sNWfYa1xZUWJiIr28vJRVa6krH9q3b68MAnTo0EFZcTZ06FC6ubnx7t273LhxI1UqFfPmzUu9Xs/x48dTr9dbbUGwYsUKZaYcALq6unLo0KFWE2P+mz179hAAT506RfJdbqxfv75Vu9R3XWdnZ/bq1YuXL1+W1Rn/ElLAsyPbtm1T9ihJTUy/XZbq5eVFd3d3Ojg4sFChQixYsCADAgJ4/vx5AmC1atXo5+fH0NBQFilSRNlzLiUlhYsWLVL2B/jtaTtt2rTh69ev/3JfJ06cSK1Wy61bt7JmzZps1qxZmu3y5cvHQYMGkXw3EuLi4sIxY8b8/V+SyPLsNWfYa1xZUWJiIsPCwixm8AJg4cKF2axZMzZt2lTZIyr1JMeOHTvS29ubly5doo+PDwcPHqzMAPntvk0mk4m9e/emWq1mzZo1mZCQQH9/f1auXJkHDhz4yy9Pfn5+HDlyJEnyxIkTFi9tv5W6YXu3bt0IIM0ZNcL+2GvesNe4sqKjR48qX1jd3NyU2bx169blmjVr+OWXXxIAd+3axfLly7NTp068e/cutVot27RpQwcHB06aNImLFi2iSqXiqlWrlDz34MEDlixZklqtlpcuXWLNmjX53nvv/a0vkf7+/hbvdzNnzqTBYEhzeVzt2rWp0Wj42Wef/f1fjMhW7DVn2GtcWdXFixeVA8k+/fRTq8PRUk+Mffv2LYODg9m7d28mJyczd+7cbNy4MR8/fkwnJyfWqVOHefLkYUBAAJctW8Zjx47x448/prOzszLwsWrVqr81Ozg1J79584ZJSUkEwC+++MKq3e3bt5X329/vaS/s25/NG2qILK9+/fp4+fIlZs+eDa1WC4PBgMDAQCxbtgwLFizA27dvoVar0bVrV1SrVg0PHz5ETEwM1qxZAycnJ8yePRtPnjxBsWLFEB0djfz586N06dLInTs3evXqhffeew/Pnz9HrVq14Orqio4dO2Lt2rVwc3P7y31dvHgxunbtioYNG8LZ2RlPnjyxapOUlISXL1/C2dkZAODr64vGjRtj9+7d//h3JYSwX3q9HocOHULbtm0BADNmzEBUVBQuXbqECxcu4PLly9i3bx/UajU6dOiAESNGYP369Rg8eDAKFSqE1q1bY8WKFShUqBC6d++Orl27onz58ujWrRuCg4OxcOFCmM1mdO7cGT/++CMePHiAUaNGoWrVqlCpVH+prxqNBsnJyQCAwMBA6HQ6HDhwwKrd/v374eHhgc8//xxDhw7F7NmzERMT889/WUIIuxYeHo5z587BwcEBBQsWRJ8+fRAeHo5du3ahffv2aNeuHdRqNU6dOgVPT0/cuHEDq1atgtFoxKJFi9C5c2dMnToVrq6uaNeuHTp27Ih8+fKhcuXKCAgIwMWLFxEaGopChQrBxcUFiYmJfzkPAkCJEiWwc+dOkAQAtGzZEsnJyZg+fbpFu4MHD2Lv3r0wmUx48eJFuvyOhBD/DoULF8bOnTsBAEFBQfDz88MXX3yBmjVronTp0pgyZQoMBgNMJhMSExPh5uaG48eP4/79+xg+fDh8fX2xceNGHD58GE+ePMHr16+Vd8TRo0cjISEBNWvWhIODAx4/fgwHB4e/3MfixYsDAHbv3g2tVgtnZ2fcuXPHqt3t27cBADVr1kTJkiX/9u9E2LGMrhCK9JOSkqIs5bp27RoHDx5MBwcHhoaGWsyWe/z4MQMDAxkaGkpXV1empKRw8eLFVKvVdHd3V06/wf/fZwQAXVxcCIBhYWH/cz+TP5K6X0rqrJa1a9cSAH/88UeLdnPmzCEAnj9/XrnWunVrli1b9m/9XJE92GvOsNe4srLnz59Tr9ezSZMmVKlUXLlyJevVq6fMPpk3bx579epFg8FAjUajzMZ7+vQp8+XLR1dXV/bu3ZutWrWiq6srdTodvb29qVarWaJECfbr148Gg4FRUVF/e0lrr1696OvryxcvXpAk27dvT3d3d/7www80m800mUzcuHEjDQYDhw8fTvLdCDIA/vDDD+nzixJZlr3mDXuNKysbN24cdTodQ0ND6e3tzbZt2yqnWqf+KVGihLLncOpJ3nFxcWzYsKEygy/1GUdHRyUnXrx4kQ8fPqTRaOSUKVP+Vv9S91ru3bs3nz59SrPZzA4dOhAAK1WqxEmTJrFt27bU6XSsUaMGP/jgA2q1Wj58+DA9f00ii7LXnGGvcWVlZrOZYWFhLF68OKtWrUqVSsVSpUops5OBdye8FitWjEFBQdy5c6eyzUCqp0+fcubMmaxatarFqreePXsyNjaWBQsWVFaQ/R01a9akn58ff/zxR/bo0YNeXl68efOmcj8+Pp5Vq1alVqu1OjRD2D9ZQptNPXr0iJMmTWKTJk3YpUsX7t2712LJgoODA/v27ct8+fIpRbc1a9ZYfc6nn36qTPVdv349SfL69escPXo0W7ZsSYPBwLx58zI0NJSlSpVio0aNuHLlSsbHx/+j/vv7+7Nnz54k3500GRERQb1ez44dO3L27NnKSZADBw5Unrl37x4dHR3lRFo7Z685w17jyup69OhBvV7P9957j0WKFFH21fytY8eOUaVSsWbNmsq1Z8+ecfjw4fTy8qJWq2WOHDno5uZGX19fOjg4KNsSjB49+h/lw5s3bzJHjhzMly8fFyxYwHXr1inLO3LlyqX874YNGyp7SaWeGL5///6//XNF9mCvecNe48rKEhISWL58eQJgv379CIADBgzgo0ePGBcXxy+++IJGo5EBAQHKl9HfDtQeP36c48ePp5OTE7VaLQ0GAxs0aMCjR49y06ZNLFy4MP38/KwOD/orFixYQIPBQLVareRZBwcH5siRg15eXixSpAhnzJjB+Ph4vnr1igaDgfPmzUuPX4/I4uw1Z9hrXFndmTNn6ODgQK1WywEDBlCtVrNWrVr84YcfePLkSQ4ePJgqlYoajYZVqlSh0Wjk2LFjLT7DbDazevXqLF68OI8dO6bkyzt37lCtVnPx4sV/u3+PHz9WDgJydnamVqulg4MDu3TpwsGDBzNXrlzKJBs/P7+/dJCkyP6kgJcNHTp0iK6urnR0dGSdOnVYoEABZW+k1CKep6cny5UrR0dHRxYrVkwZHYiIiLDYYD11X6U6derQ0dGRkydP5qlTp7h+/XoWKVKEXl5eGVLZnzhxIvV6Pb/77juazWbGx8fzww8/pNFopEajoYeHB9VqNQcOHMjdu3fzk08+YZ48eZg3b14+e/Ys3fsjsg57zRn2GldWEB8fz2+//ZZLlizhL7/8YjGYERcXRwcHB5YuXZpGo5FGo5EfffQR58yZY7H3SVRUFDUaDdesWcOUlBSazWZu376drq6u7Ny5s8XPM5lMjI6OTreDJC5dusT69esr+5caDAaGhYXRzc2N7u7u/P7775WYzGYz27dvTx8fnz+9ObzIvuw1b9hrXFnd9OnT6eTkRGdnZ9apU8fq/ty5c6nRaDhu3DhqNBo2btxYWbkRGxvLXr16UaVS8eDBg8rM5tT3y/DwcF66dOkf9/H58+dcsmQJ8+fPT3d3d+bPn5/du3dPs23q6ZDC/tlrzrDXuLKDwoULMyoqilqtliVKlGBycrLF/VGjRtFgMDAwMFA58GL8+PG8efMm//Of/7Bdu3YEwJo1ayrFu9u3b7NKlSr09PRkTEzMP+qf2Wzm3r17lT2dK1SoQJ1ORzc3N7Zu3Zrnzp3j1atXWa5cOfr6+spp3P8iUsDLZhITE+nn58eqVasqS67MZjOXLVtmMcuuc+fO1Gq1VKvVLFeuHBcvXswFCxawZMmS1Ov1PHjwIEmyZ8+ezJkzJ6Ojo9mrVy+L5RRVqlSxWL6anhISEpSlbIULF2aFChWoVqvp6+vLixcvMikpiWPGjKGnp6dyYEazZs2sTvsR9sdec4a9xmVr27Zto7e3t8UysAoVKlgMPJQuXZoajYbu7u7KzDmj0ai8jJHvDrHw8vIiAHp7eyun1NaoUeMfv4T9WdHR0dy1axdbtGjBnDlz0t/fnwaDgUWKFOGCBQu4du1aRkVF/eGGxsL+2GvesNe4soI7d+5wxIgRrFGjBhs1asSvvvpK+WL6+eefK6suGjVqxODgYBoMBhYrVoyLFi3irVu3CIDbt2/nli1baDQa6ejoyAoVKtDNzY1qtZpLlixRftbdu3e5b9++dCnc/d7Tp08ZHh6uzDD5/SmOv/zyCwFw27Zt6f6zRdZjrznDXuPKDnx9fVm0aFEC4ODBg7lixQru3LmTSUlJJN+tSEvNh0eOHGGzZs0svid7e3uzW7du1Ov1NBqNzJcvH9VqNXPkyMEjR46kWz9jY2PZrFkzZWXG7wuN165dUw7NEP8OUsDLZjZv3kwAvHDhgtW92rVrs2rVqiTf7ZGk1WpZs2ZNi//QExMTWa5cOVaoUIEzZ86kSqXi9OnTlfsvX77k8ePHLdbZZxSTycSdO3eyS5cubNOmDRctWmR12lhCQgJv3brFV69eZXh/RNZgrznDXuOypV9//ZV6vZ7169fnpUuXmJKSwh07djBPnjwsWbKkMkNuxowZ1Gg09PX15b59+2g2m/nmzRt+9NFHBMCVK1fSy8uLAwcO5PHjxzlmzBiOHDlSaWtLp0+fZt26dZWZLsWLF+eGDRts2ieReew1b9hrXLZ26NAhuri40M3Njc2bN2fFihWVPT8TExP54MEDZVBUp9OxS5cunD9/Pps2bUoAbNy4MQHw0KFDJN+dMjtlyhR26tSJH330EW/cuJGp8ZjNZi5fvlyZDXjjxg2azWbu27ePwcHBLFKkCFNSUjK1T8I27DVn2Gtc2UGtWrWo1+up1WotBoFz5crFvXv38ty5cwTA77//Xnnm+fPn3LFjB3/88UdlFcTjx485e/ZsDhkyhEuXLk3z5Oz0UKpUKbZv3z7Ne8HBwRw2bFiG/FyR9UgBL5uZO3cuHRwc0rw3YsQIBgYGkiQHDhyojBr8XuoR2QDYv3//dFsGJkR6sNecYa9x2VK3bt2YO3duq5kZBw4cIADu2bOHZrOZbdu2JQDlkIrfql27Nt3c3Ojk5MTr169nVtf/srdv3/Lly5c2LyiKzGWvecNe47Kl5ORk5s2bl1WqVLH4ve7evZtarZazZ88mSebOnTvNQ3A+//xzAqDRaMxyRbEtW7bQw8ODAKjT6QiAJUuW5K1bt2zdNZFJ7DVn2Gtc2cGmTZuo1WqZO3du7tixg4mJiTxz5gxr165NBwcHNm/enM7OzllmaWqTJk1YpkwZq+uvXr2i0WhUcrywf382b6ghsoSQkBDEx8fjP//5j9W9o0ePIiQkBDt37sS8efMAAE5OTlbtXFxcAABbt27FJ598ArVa/vUKIbKfEydOoF69etDr9RbXq1Spghw5cuD48eOYPXs21q5dCwCIjIy0+oyoqCi8ffsWu3btQkhISKb0++9wcnKCh4cHVCqVrbsihMiC9u7di7t372Lu3LlwdXVVrkdGRqJFixZYvnw5zp07h4cPH6JcuXKoXbu2xfM9evSAp6cn3N3dodFoMrv7/1WjRo1w//59fP3115gzZw7279+P06dPIzAw0NZdE0JkYadOnUL79u1RqFAhlC9fHvPnz0d8fDwA4PTp00hJScGmTZvw3nvvQa/Xo2TJkti6dSscHBywadMmjB07Fg4ODjaO4p1OnTrh5MmTWLFihXLNZDJh2LBhMJlMaNOmjQ17J7IiqfBkEXXr1kVAQAB69OiBBw8eAABSUlIwZ84cHDx4EL169cKMGTNQvnx56PV6rF692uJ5kli5ciUcHBxQr149W4QghBDpwtXVFffv37e6Hh0djTdv3sDR0RFTp05FhQoVAABXrlyxanvlyhVotVpUqVIlw/srhBAZ5dGjRwCAYsWKWd0rXrw4Hj16hKioKGg0Gvj5+Vm10Wq18PDwgLe3d4b39e9wdHREy5Yt0a9fP1SrVk0GM4QQ/9U333yDChUq4OjRo4iKikLu3Lnx4YcfIiIiAtHR0Vi5ciV8fHxQvnx5i+ccHR1Rv359GAwGDB061Ea9t9agQQN07doVXbp0Qfny5dGlSxfkz58fX3zxBRYsWJBmXhf/blLAyyK0Wi02b96MW7duITAwEOXLl0fevHkxZMgQDBkyBM2aNcOxY8fQqlUr1K9fHytWrEDv3r1x5swZnDx5Ep07d8aWLVvQqVOnLDfCKoQQf0Xr1q2xa9cuHDlyRLlGEpMnT4bZbEZwcDBevXqFuXPnQq/XY+jQocrIKwAcP34cq1atsnp5E0KI7KZgwYIAgP3791vd++mnn5AjRw48evQIYWFh+P777/HixQuLNr/++itu3LiB6tWrZ0JvhRAi48TFxaF79+5o1KgRrly5gnnz5uGbb77BoUOHcOLECURFReHRo0eIiYlBXFyc1fMPHjxQVqxlFSqVCkuXLsW3334LPz8/XLhwAdWqVcPx48fRrVs3W3dPZEEqkvw7D8bExMDNzQ3R0dEWU/rFPxMdHY3Vq1fj9OnT8PDwQLt27RAWFobk5GTkyJEDwcHBuHr1KuLj46HVapGSkgLgXQGwatWq2Lt3r40jECJt9poz7DUuW0pISEBkZCR++eUXtGjRAgUKFMDu3bvx888/Y+bMmciZMyfatWuHY8eO4fDhwxg6dCg8PDzQpEkTPHz4ELt27YKLiwuuXr0KX19fW4cjhBV7zRv2GpctkUSZMmUQExODzZs3o1ixYkhMTMT8+fMxfPhwREZG4u7du1i/fj3KlCmDYsWKYe7cuShRogQOHjyIfv364fnz53j69CmcnZ1tHY4QFuw1Z9hrXLa2ceNGtGzZEtevX7faHqVdu3bYsGEDunXrhoULF2L8+PEYN26ccv/gwYOoXr06OnXqhOXLl2d214X4n/5s3tBmYp/En+Dm5ob+/ftbXHv27Blq1qyJuLg43Lx5E4GBgbhy5QpSUlKgVqvh5OQEvV6PnTt32qjXQgiRfoxGI3bv3o1PP/0Uq1evxg8//IBixYph27ZtCAgIQKVKlaDValG3bl0kJiYCePeX3rp165CSkgIfHx9cvHgRnp6eNo5ECCH+GZVKhY0bNyIyMhLFixdH/vz58fz5c7x69QpDhw7F69evcfjwYaxatQqhoaG4cOGCxWw7o9GIH3/8UYp3Qohs7+XLl1CpVGnuk5la0MubNy88PT0xfvx47N+/H5GRkbhw4QK++uoreHp64pNPPsnkXguRvqSAl8UlJSUhKioKV65cgUajQVJSEqKjozFnzhz4+flh06ZN2LRpExo2bAiDwWDr7gohRLpwcHDAsGHDMGzYMIvrDRo0gKOjI2JjYxEdHY02bdqgTJkyOHjwIDZv3gyVSoWtW7dK8U4IYTeCg4Nx4cIFfPvttzh27BhcXV3RqlUr7Nu3DzNnzoRarcbChQtRuHBh5QCzQoUK4fLly9iwYQMqVapk4wiEEOKfK1GiBEhi9+7dFnu+k8T27dthNpsxZswY1KhRA5cvX8bhw4dx+PBhaDQaqFQqXL9+XQYzRLYne+BlYYmJiYiIiMCZM2dQq1YtdO3aFd7e3nj69Cn8/f3RqlUrbNy4EUOGDMHu3bvx6tUrW3dZCCEyzO3bt7F9+3a8fPkSGo0G9evXx+TJk/HBBx9g06ZNWLp0Kcxms627KYQQ6U6v16NVq1aYM2cOxo8fjwcPHqBfv37Q6XRwdnZGx44dsXXrVjx79gydO3fGlStXUK9ePTnYTAhhN8qXL4+KFSuiZ8+e2Lt3L0ji+fPn6Ny5M06fPg21Wo3u3btj4cKFuHfvHs6cOQNXV1eo1Wp06tQJ7u7utg5BiH9MCnhZ2OLFi3HkyBHs27cPu3btwoIFC3Dz5k00adIE3bp1Q2xsLABg0KBBSEpKwg8//GDjHgshRMa4ffs2KleuDEdHR7Rr1w6dO3fGoUOHUKpUKZw7dw4A0LlzZ+TMmRNff/21jXsrhBAZ58SJE2jQoAF8fX3xwQcfoFOnTvjmm29QpkwZPHr0CAsXLoSbmxtMJpMyI08IIbI7lUqFTZs2IVeuXKhduzZcXV3h6+uLNWvWwGg0onTp0vj6669RsGBBLFq0CEWLFsXw4cORmJhotUWVENmV/K2eha1evRqNGze22MtEp9Nh5syZiI6OxnfffQfg3bHYAJCcnGyLbgohRIb78MMPodFocO3aNSxfvhyLFy/G9evXkTNnTvTt2xcAoFar4enpibdv39q4t0IIkXH69u2LwoUL4/r165g1axbmz5+PixcvwtnZGUOHDoXBYECFChVw4cIFW3dVCCHSVc6cOXHs2DH89NNPGDRoENRqNRo2bIjHjx/j559/xoMHD9C7d2/06dMHZ8+eRcmSJWE2m5GUlGTrrguRLqSAl4U9f/4c+fPnt7qeN29eGAwGPH/+HACwYsUKaDQaVKtWLbO7KIQQGe7NmzfYsmULhgwZgly5cinXPTw8MHr0aBw6dAi3b9/G5cuXceHCBVSsWNGGvRVCiIxz48YNnDhxAh999JHFXk7e3t4YNGgQtm3bhpcvX+L06dNwcXGxYU+FECJjqFQqVK9eHS4uLtBoNFi+fDnc3NwAvNtDee7cuciZMyeWLl2KgwcPQqPR4OnTpzbutRDpQwp4WVjx4sWxa9cukLS4/tNPPyExMRGOjo746KOPMHz4cHTv3h25c+e2UU+FECLjxMTEwGQyITg42Opevnz5AABbt25F3bp1lf1BhRDCHr1+/RoAkCdPHqt7efLkgdlsxujRo/H06VP06tUrk3snhBCZ58aNGyhUqBA8PDwsrut0OpQrVw6//PIL5s6dC5PJBF9fXxv1Uoj0JQW8LColJQUODg44e/Ys+vfvj5cvX4Ikjh49io4dO0Kj0aBbt26YO3cuBg4cKEdiCyHslq+vL9zc3LBz506rezt27IBarcbAgQOhVqtx4MABODg42KCXQgiR8QoWLAgnJyds2bLF6t63334LvV6PRYsWIX/+/OjTp0/md1AIITJJnjx5cO3aNcTExFhcN5lMOH78OE6dOgWj0YiCBQuiVKlSNuqlEOlLCnhZDEksWrQIAQEB2Lx5M8qVK4elS5fCz88PXl5eqFSpEhISEqDVavHTTz/h4cOHmDlzJnQ6na27LoQQGeLmzZuIiYnB4sWLMX/+fMTHxyMpKQkrVqzA1KlT4evri927d+P69esICQmxdXeFECLDHD58GPHx8Zg+fTo+/fRTxMbG4vXr15g0aRJWrVqFlJQUdOjQAWfPnoVGo7F1d4UQIsOcP38e8fHx6NOnD+Lj4wG8mwQzevRoPHz4EO7u7oiLi8PixYuhUqls3Ns/7/er74T4La2tOyAsffLJJxg4cCAaNWqErVu3Yty4cShTpgw2bdqEV69eoXTp0jAajahRowZUKhVcXV1t3WUhhEh3JHHy5EncuXMH69atg4uLC1q1aoWBAwdi2LBhUKvVSEhIgE6ng16vR2RkpK27LLIIkiApp28KuxMfH4+WLVuifPnyCAoKwoABA/DBBx8AgPLl9ODBg6hUqZItuymykNRCQHYqXgjxZ2zfvh0bN26Et7c3vvrqK+zcuRPlypXDmTNn8PTpUzg6OqJRo0b48MMPUbRoUVt3938iiQkTJuCzzz7DixcvYDQaER4eji+//NJi/2ch5O02C4mPj8fEiRPRs2dPTJ48GQDw7Nkz+Pj4oE+fPhg9ejSioqKUwytS90ER/17379/H9OnT8cEHH2DBggWIjo7+w7bx8fF4/fq1jOqILO/SpUsICwtDuXLl0KJFC3z77bcoW7YslixZguvXr2PGjBmYOnUqzp8/j7Jly+L+/fu27rLIAi5fvozWrVvD0dERer0eERER2L9/v627JUS62bx5M968eYPVq1dj7dq1uHHjBpYuXYply5ahcOHCMBgM2LNnj627+ZedPXsWHTt2RIkSJRAREYEff/zR1l3K9i5duoTWrVvDwcEBOp0OkZGROHTokK27JUS6GTFiBHLmzIlr167h8uXL6N69OxwdHeHl5QWtVovIyEisXLkyWxTvAKB58+aYMGECqlevjsWLF6NXr1745ZdfUKhQITx69MjW3cvWTCYTPv30U4SGhsLBwQGFChXC7NmzkZycbOuu/T38m6KjowmA0dHRf/cjxO8cPHiQAHj69GkmJCRQp9OxaNGifPPmjdImLi6OZcuWpUaj4aNHj2zY238mJSWFhw4d4nfffce7d+/aujvZ0rJly6jRaOjo6MjQ0FBqtVq6u7vzwIEDFu0uX77MqKgoAiAAOjo6skaNGjxx4kSm9tdec4a9xmUrr1+/Zs6cOVmkSBHu2rWLL168YHh4OD09PZmYmGjRNjY2lq6urnRycrJRb9PHy5cvefnyZcbExNi6K9nWqVOn6ODgQFdXV9aoUYMjR45kmTJlqNFouGXLFpKkyWTi8uXLWapUKXp7e7NcuXJcvnw5zWZzpvfXXvOGvcaVVUyYMIE5cuRI816fPn1oNBo5ZsyYTO7VP7Nw4UKqVCr6+fmxZcuWDA4OJgA2atTI1l3Ltn799Vc6ODjQwcGBKpWKzs7O9PHxoVqt5vbt25V2d+7c4Y4dO3js2DGb5EHSfnOGvcaVVZjNZup0Ok6ePNnq3oULFwiApUqVskHP/p7UPs+aNcvi+qlTp6hWqxkZGWmjnmVfqTnNbDazXbt2VKlUrFWrFqdMmcK2bdtSo9GwSZMmNJlMNu7p//mzeUMKeBno1q1b7N+/P/Ply8d8+fLxgw8+4J07d/6w/eHDhwlAKay0atWKGo2GgYGBnDBhAidPnsx8+fJRo9GwWrVqmRRF+vvhhx8YGBioFJTUajVbt25tUagU/93q1aupUqmo0WhoNBrZvHlz/vDDD6xZsybd3d35+vVrkuTZs2ep0+moVqsJgCqVijqdjm5ubgTAUaNGZVqf7TVn2GtctjJ//nxqtVqLwv6ZM2cIgP3791eKeAkJCezWrRtVKhU7depkq+7+I0+ePGHr1q2p1WoJgA4ODuzevbsU8v6iK1eu0NnZmQBYsGBBenh4EACHDRvGunXrMigoiCkpKaxXr56SC1PzIQA6Oztz06ZNmdpne80b9hpXVrFixQqqVKo03yXLlStHlUrFI0eO2KBnf8+dO3eoVqvZs2dPJicnk3z3ZWvq1KkEwNmzZ9u4h9lHSkoKt27dyr59+9Ld3Z0A2LBhQy5cuJBDhgyhq6sr3dzcGBwczJcvX7J58+ZKLgRALy8vLlmyJNMLefaaM+w1rqzCbDZTo9Fwzpw5Vvdu3bpFAGzevLkNevb3dO3alY6OjkxISLC6V7duXTo4ONigV9mP2Wzm8uXLWbx4capUKvr6+vK9996jRqNRcp1er2eXLl345ZdfEgB37tzJhIQE3rlzx+a1CCng2dj58+fp6elJb29v9uvXj3379qWXlxe9vLx48eLFNJ9JSEigt7c3O3fuTJJ88+YNw8LCCIA6nY5arZYqlYohISF8/PhxZoaTbs6ePUuDwcBatWrxyJEjvH//PhcsWEAnJydWr17d1t3LFsaPH0+1Ws2CBQtyxowZnDZtGvPly0cnJyfu2LGDGo2GCxcuJEl6eHhQpVKxbNmy/PTTTzlt2jTmzZuXGo2Gbdu2JQDu3bs3U/ptrznDXuNKb48fP+aqVau4fPly3rp16w/btWjRIs0Biq5duypfMurUqUNPT0+qVCp6e3vzyZMnGdfxDBIbG8vQ0FB6e3tz7ty5PHDgAKdMmUJnZ2eWKlWKKSkptu5ilvf06VMOGDCABoOB+fLlU/5uTUhIUAoA48ePJwCOHj1aKdj5+PgwIiJCyY+Ojo7UaDRcvXp1pvXdXvOGvcaVmZKTk/ntt99y0KBBHDlyJE+dOqXce/PmDd3c3BgVFaUU+k0mE+fPn08ALF26tM1mUv0dw4YNo6Ojo9WXJpPJxKCgIPr5+dmoZ9nLy5cvWb58eQJgUFAQVSoVx48fb9HmwoUL1Ov1ShuNRqPkRADUaDRUq9UsUqSIMgicGew1Z9hrXFlJ7dq1Wbx4caX4n2rcuHFUq9X8z3/+Y6Oe/XVNmzall5dXmvm7Xbt21Ol0NuhV9jNixAhlBveCBQvYtWtXarVaFixYkBs2bODZs2c5a9YsOjs7MyoqikWKFGHu3LktBnd9fX05adKkTM2DqaSAZ2M1a9Zk4cKF+fLlS+Xa8+fPWbBgQdapU+cPn1u4cKEyarBt2zauWbOGBQoUoFqtZlRUFFevXp1mdT67aN++PQMCAqxiWLt2LQFw3bp1NupZ1hcbG8sPP/yQGo2GFStWtFhO+PbtWxYvXpw1a9ZkoUKFOHDgQP7888/UarWsV6+eRTEgOjqawcHBDAoKYv78+TOtcGqvOcNe40ovZrOZY8aMoU6ns5j51K1bNyYlJVm179SpE0NDQ61eYsxmM729venq6kqd7v+xd9bRUV3f29935o5mkomHJESIQQIkECJAcAnBXRIowd0huBW3QrHiTtFQ3N0pDoXiUigEDRAhOvO8f+Sd82U6aX+Fxrjcz1qs1Vybs29n9j13n72fLYO5uTk6duyIV69e5ZUpOcrixYvBcRx+++03o+2HDx8GEWHOnDn5NLKvgydPnsDd3R1mZmYgIhPpAACoWrUqgoKCQESwtrYGEaFPnz7Md6akpKBDhw7gOA4uLi6wtLTMs/EL1W8I1a68Ii4uDgEBASAieHp6ws7ODkSEDh06sOf4vn37oFQqYWZmhlq1asHNzQ1EhICAACQlJeWzBZ9H7dq14efnl+2+xo0bg+O4ryogmV9ERkbC2toaJ06cwJw5cyCXy7PN5G7RogWkUimkUiksLCywYMEC3Lt3Dzt27EDx4sXZc7pcuXJ5Nnah+gyh2pXXXLx4EdOmTcOsWbPw8OFDo30nTpyAVCpFeHg4jhw5gqtXr2LIkCHgOA6tWrXKpxF/GcuWLQMR4ciRI0bb379/DwsLC3Ex41/w8OFDcByHiRMnsm3Dhg2DhYUFXr9+bXTsli1bQEQoVKgQiAguLi5o1KgRbG1t2cKGg4MD7t+/n6c2iAG8fCQuLg5EhFWrVpnsW7p0KYjoH186V65cCU9PT/ayW7ZsWRw7diw3h5xnuLu7Y9CgQSbb09PTIZVK4ePjkw+jKvjMmTMHWq2WpQAbNJ0+Zfny5SAiKJVKTJs2De3atQMR4cSJEybHzpo1CxzHITIy8m/1dHIaofoModqVU8ybNw9EhFGjRuHNmzdITEzE7NmzIZPJEBMTY3L87t27QUTYunWr0fZ169aBiHD06NG8GXgu07BhQ1SoUMFku16vh4eHB9zd3fNhVAWfjIwMDB8+HAqFAmq1GuPHjwcRZfuSP3bsWJibm0Oj0bBszb8GjZOSkljWIxHh+vXreWKHUP2GUO3Kaa5du4YePXqgRo0aiI6OZs/pWrVqwdHREWfPngWQ9X1fvHgxJBIJZs2axc5/8uQJRo0ahYiICDRt2hT79u3LDzP+M927dwfP8yZZ1GlpabCzsxOzTv4Fjx8/hlQqxezZswEAU6ZMgbm5eba6Tt26dWNBur9+Z968eQO1Wg1PT0/wPG8SLMkthOozhGpXbpGWloaPHz+yvxMTE1G3bl0QEczMzKBQKMBxHPr27Wv03d61a5fRO7NarcbQoUO/uioGnU4Ha2tr2NjYYPXq1YiLi8Phw4eZ7v3cuXPze4gFnhkzZkCtViM5OZltCw4ORps2bUyO1el0TGpgzJgx7DuVlpaGjh07GlVs5OXCmBjAy0du3boFIso26Hbo0CEQEe7du/eP19DpdHj06BGeP3+eW8PMFzw9PdGxY0eT7W/evGE/lk+zFkWyArpEhMaNG7MHVHZBue3bt4OIwPM8nj9/jubNm4OITDJ8gCwdHSKCq6srZDJZngh4CtVnCNWunECn08HNzS3bh+fIkSOh0WhMsgR0Oh0aNmwInufRtm1bzJs3j4nNtmzZUjDZGBUrVvzbAJ6Xlxc4jjMpCxEBOnfuDJ7nYWNjgy5dumDHjh1/G3hr3LgxeJ7HiBEjQER/m/0eEhKCYsWKsYlcXiBUvyFUu3KSZcuWQSKRwMnJCc2aNYO3tzeICD169AAR4eeffzY5p02bNvD09MyH0eYuz549g1QqRY0aNVhjtvfv3yM6Ohocx6Fx48b5PMKCzZ49e2Bubg6irAZ4AHD69GkQEXbs2GF0bHJyMmxtbdlLaXbP0qioKHh5eTHN2bxAqD5DqHblNDdu3EDjxo1ZgkJwcDC2b9+Odu3aQaPRYOPGjcjMzERycjKmT58OImLBagM6nQ6XLl3CyZMnv2oN4du3b8PGxsZIm5LneXTu3Dm/h1bgSUtLg7+/P7RarZFvK1euXLZaiGlpaVCr1dBqtSbvwAkJCVCpVKhfvz5UKhVq166d6+M3IAbw8pGUlBRYWVlhwIABJvv69OkDGxubr7oM9r/QuXNnKJVKPHjwwGh7TEwMWxUUWtDyv6DX6+Hj44MmTZqwSZmVlRV69OhhcmyrVq3A8zxWrFgBADh69CikUimGDh1qcs3q1avDwsKCPSCuXLmS67YI1WcI1a6c4NmzZyCibBsEXLp0CUSEX3/91WRfeno6pk6dyjIBfHx8MHPmTEEFtAYMGPCPJbREZNJ191vnwYMH4DgOc+bMgaOjI0aMGIH09HQ4OTmhatWqRhP37du3g+M41KhRA5mZmZBKpbC2tjZ59iYmJkKtVsPV1RUWFhZ51vlSqH5DqHblFE+fPgXP80YSAp82bSAi/PnnnybnGao3vraskn/DsGHDIJVKwfM8ihUrBqVSCYlEAgsLi3/US/3WuXfvHtOUJiIsW7YMQNb3qWrVqrCyssKyZcsQFxeHEydOICwsjM2zLSwssn2+1K1bF35+fqykLC8WzITqM4RqV05y8+ZNaLVaeHt7Y9asWVi+fDmqVavGNBmza1DRpk0bFClSRDCLuX9Fr9fj559/xnfffYcBAwbg6dOn+T2kr4KBAweyhnD79+9n26dMmQKFQmFSCmuQLKtWrVq21ytZsiSioqLYs/f/SrzKKcQAXj4zcuRIltKenJyMpKQkzJo1CxKJBN9//31+Dy/fePbsGeRyOSwtLTFs2DAsXLgQtWvXBhHBz88PPj4+gnXKX4KhHDs2NhYpKSmwsbFhQsVDhw7FgwcPcOfOHfTu3Tvb7BGVSgWO4zBq1Cg8ePAA165dQ5s2bdiLQr9+/UBErFwnNxGqzxCqXf+FJ0+eoG3btlAoFCAiODo6Yvny5Ua/bUPG6O3bt/NxpPnHixcvIJPJYGtri5kzZ+L48eOYMGECzM3NodVqUalSpfweYoFjwYIFkEgkSE5ORtOmTeHr64uMjAwcO3YMGo0GWq0WTZo0QZkyZUBEqFOnDgv6GrKcOnXqxMorEhMTERkZycSL/f39Ub9+/TyxRah+Q6h2/VeSkpIQGxuLpk2bQqVSZZt57OLiAqKsjnh/pU+fPrCzs8ur4eY5sbGxLPNYLpcjMjJSDN79HwwYMAA2NjZITk5GnTp14Orqyl5S3717h6pVqxpl8hQpUgRHjhxhL7nz5883ut5vv/0GqVSKSpUqsa7eefF8FqrPEKpdOUVGRgYaNWoET09Po3tkSDIgIty6dcvkPIOcinhfRQwkJiZCo9Fg+PDhKF++PGxtbbFq1Sq8ePECu3fvhpmZGaytrTFp0iRs2bIFXbt2ZRmfDg4OJosZr1+/hkwmw7hx45CQkAAiyrMmZ2IAL49JSUnBqVOncOrUKaSmpiIjI4N1TeQ4jpWHdu/eXZArqJ/DqFGjQERQqVQscFelSpU8/YF8Lbx79w5EhCVLlgAAZs6cCSJC6dKl2f0zrFR16tTJKECye/ducBwHa2tro/bZhsnbiRMn0K9fP1haWhrpBeQWQvUZQrXrS3n+/DkKFy4MJycnTJw4EatWrUKFChVARPD29sagQYNw/fp1hISEIDAw8JsO2MfExLDfr0G/0sXFBRzH4dChQ/k9vALHokWLIJFIkJiYiHPnzkEqlaJBgwa4cuUKrly5gtq1a0Mmk8HR0RGxsbHsWXvlyhXwPA+tVguO42Bubo7Q0FCo1WpwHAelUokffvgBUqk0z5qHCNVvCNWu/8LKlSuh1WqNgikODg4IDg5G165dWfl348aNYWlpCX9/fyOd5DNnzjBdJ6HzLT8PPpdq1aqhRYsWALIWzTw8PFg5coUKFcBxHPz8/PDzzz/j1KlT0Ol0mDdvHluwkEgkiI6Oxtq1azF8+HC2eERE6Nq1K4gIFy9ezHU7hOozhGrXf+Xly5fo3Lkz1Go1iLIaTM2cOdOojHHDhg0gIuzcudPk/HHjxkGlUmXbBO1b4dq1a1i0aBF+/vnnfOmUWtC4du0aS0Z58+YN00789B25TJkyLAO5UKFC4HkeZmZm4DgOHTp0YItqr1+/ZnPJV69e4f79+yAio8YYuYkYwMtD5s2bx3QlDIEpHx8f2NvbszR0pVL5t+nA3xp6vR7jx49nK3wGBz5v3jx2TGZmJo4fP45t27bh8ePH+Tja/KdmzZooUaIEkpKSoNfrMXv2bDg4OLB75+TklG33Xj8/PygUCrx9+xbx8fHYsWMHDh06hLi4OCgUCtadccKECXlih1B9hlDt+lIGDhwIS0tLPHv2DHq9HgMGDABRVkfFBg0awNLSEhKJBAqFAmfOnMnv4eYrer0eEydONCpn9/T0zLZJjUiWWLtEIsGMGTMAAFu3bmUdxAyLZc2bNzfJbmrUqBGICJs3b8aDBw/Qr18/1KtXD23btkWtWrVgZmYGV1dXuLu759nvWKh+Q6h2fSmGkvjvvvsO9+7dQ5MmTUCU1eUzOjoahQsXBs/zWLduHRwdHdGqVSvY2tpCrVajUaNGbHEzLCzsq+swK5K7NGvWDEFBQezvDx8+YM6cOahTpw54nkejRo2QkpJidI6joyNkMhmWL18OW1tbtqBrWESSy+X4/vvvMXDgQGi1WnFx9z8gVLv+C+/evUPRokVha2uLMWPGYMGCBayBlI2NDXbv3g29Xo/bt29DKpUiMDDQ6P49ePAA9vb26NChQz5akX+8e/cOERERbL5DlNW044cffsjvoeUrT548AZGxfuzdu3exdetWdOrUiS1aGP5ZWVkx2QFDpZqZmRn8/f0hk8kglUqxePFi6PV6REdHQyaTITIyMk9sEQN4ecSSJUtYWc7Fixdx4cIFtGvXDlKpFN7e3mxlNSEhgb3IHjx4MJ9HXTBISEjAgQMHcOjQIaPOQwcOHICbm5vRS1lYWFi2zRi+BS5dugSNRgMvLy9MmTIFM2fORMmSJcHzPBYtWvS3DSgUCgUqVqyY7b6KFStCIpFg7NixedLAAhCuzxCqXV+Kh4cHevbsCSBLYJuIMGvWLJZZ8fHjR1ZGJjasySI5ORlnz57FlStXTH6Pp0+fRmRkJEqVKoWIiAhs2rQpz36zBY3U1FS0a9cOEokEPXr0wP79+/HTTz/ByckJFhYWOHnyZLbnubu7g4iyXQxatWoViAg1atTI08UiofoNodr1pURERKBMmTLQ6XTsu7Zlyxa2Py0tDS1atIBcLmeamC9evMC4ceNQo0YN1KtXDytXrvxmdZM/Zd++fWjYsCFKlCiBunXrYtu2bd90xt62bdtARNiwYQPbptfrMXz4cHAch/v37+PNmzeYNWsWOnXqhOHDh4Moq0kAkFW2ffPmTZw6dQqHDh1CmTJlUKpUKUycOBESiQSjR4/OEzuE6jOEatd/YfLkyVAqlbh79y4uXLgAa2trKBQKVKlSBUWKFAERITo6mnWa12q1sLW1RZcuXdC6dWuoVCp4eXmxhjffGvXr14eVlRU2btyI9PR0PHv2DJ07dwYRoXr16t90Nl7lypXh5+eHt2/fsm1PnjyBUqlE4cKFsX37diQkJOD06dMICQmBVCrFvHnzcOfOHbRp0wYWFhaQSqWQSqVo06YNpk+fjrJly4KIEBoammeyNmIALw/IzMyEq6urSVTW8NJ67tw5o+16vR6lSpVCgwYN8nKYXxXXrl2DQqFAzZo1cfbsWTx//hwLFy6EmZkZJBIJatSogVWrVuHs2bOCn7g9e/YMo0aNQqVKlVCuXDkEBgZCLpeD53lERETg9OnT/3i+RqOBo6OjifB/ZmYmChUqhBo1auTm8E0Qqs8Qql1fSuHChTFkyBAAQJMmTVC6dGmT32pcXBx4nsdPP/2UH0P8avjpp59ARChatCi6deuG8uXLs9XDvn37YsqUKfjpp58EP5lNTk5G//79WaaiofTBsMBTu3btbLWaMjIysGPHDhQuXPhvJRq6detm0rUsLxCq3xCqXV+KlZUVy3KvUqVKts/dP//8ExzHoWPHjnk9vK+GMWPGgIgQGBiIXr16sRertm3bYsSIEQgNDUVYWBimTZuGd+/e5fdw8wSdToeoqCgQZXXYHjRoEKusmDRpEo4dOwYLCwvI5XIEBQWxrBOe51G4cGE0bdqUZcEbOsYTEWQyGfr3759ncj9C9RlCteu/EBISglatWiEzMxPu7u4IDQ3FixcvAGS9I69YsYI914cNG4aHDx+ib9++KFmyJAIDAzFhwgSjAM23xK1bt0BEWLNmjdF2vV6PkJAQyOVylC5dGt27d4e7uztcXFzQsmXLb6Yx5G+//QZra2vY2NigW7du6NSpEyvTvnTpktGx7969Y/sCAwPx7NkzAFna1EWKFIFMJoNarUa1atWwe/dueHp6ol27dnlihxjAywNu374NIsK+ffuMts+YMQNmZmbZvhAMGjQIXl5eeTXEr462bdvC3d3dZLXZoIfw6T9zc3P06tULb968yafR5h5XrlyBtbU1zM3N0bx5c4SHh0MikSAoKOhfr7BERkayiZzhu6jX6zF58mQQEY4dO5abJpggVJ8hVLu+hOTkZPj7+6Nw4cJISUlBSEjI35Y6uLq6YtiwYXk8wq+HP//8E1KpFD179jTKuFuzZg3zgWq1GlKpFBzHoVixYkadt4SCTqdDeHg40wDbvXs3JkyYAEtLS/j5+WXbsRMArl69yjLvDBM1nudRvXp1nD9/Hnq9Hlu3bgXP8xg8eHAeWyVcvyFUu74UJycn1jXe19cXffr0yfY4rVaLyZMn5+XQvhquX78OIsK4ceOM5tWzZ89m2qFRUVFo3LgxeJ6HTCZDy5Yt8fDhw3wcde7x9OlTjBkzBi1btkTv3r3x/fffo1KlSvDy8kK9evWwd+9eJCYmwsrKCtWqVcPLly8BZGl1Dxo0iJV0+/r6QiqVYtOmTZg3bx6IshqhGQIqeYVQfYZQ7fovBAQEoGPHjti7dy+ICBcuXDA5JiIiAoULF/7m9eL/imHul5iYaLJv8uTJUKvVkEgkLIAVGRkJuVwOuVxulKUrFN6/f49p06YhLCwMISEhGD58OM6fP4/+/fvD19cXxYsXR3BwMDw9PbM9v1mzZihdujScnJwQFhaGxMREjBs3DkTEqojS0tIwZMgQEFGeSf6IAbxcJjU1lXV4+rQcAvjfjyy7cpzatWvD19cXDx48yKuhflUUKVIEAwcONNmekZEBnufRpUsXxMfH4/Dhw6yM1NnZWVDdyvR6PQICAlCqVCmj4OTFixeh0WgwaNCg//Mab9++ReXKlcHzPDiOg0ajQfXq1eHv789Wa/MaofoModr1uWzbto0JYEskElSoUAHVq1fPtrP0o0ePwHEc5syZkycaO18j06ZNg0qlyvZ7FRgYiPLly0On0+Hdu3cYPHgwC+oZ9OGEwv79+0FE2LVrl9H2S5cugYiwYsUKk3MSExNRqFAhlC5dGpcvXwaQpYdSo0YNpvVkyOYrUaKESQeyvECofkOodn0Jly9fBs/zUKvVuHPnDpo1a4bixYub+EPDd3n79u35NNKCzaBBg+Dg4GAiWm/IGvvuu+/Ytnv37sHGxgYymQw2NjasK6tQ2LlzJ5RKJczNzVGtWjU4OjoygfVPv1dLly6FRCLBkydPjM7X6XTw8fFBmzZtkJmZiWbNmkEul4OI0KRJk3ypbBGqzxCqXV/Ktm3bIJfLodVqMWvWLHAcl+337fvvv4dMJkNISAg2b96cDyMtmOzYsQNEhN9//91kX48ePaBUKhESEsICfHv37kXNmjWhUCjAcVy2c6WvlRcvXqBo0aKQy+Vo2rQpK4G1s7PD9u3bMWrUKPTp0weNGjWCtbV1tnO8SpUqoV69eti+fTtb4DU0HVWpVKhYsSLrZTBt2rQ8s00M4OUy48aNg0wmg6enJypWrGg0sYiPj4dcLkejRo2MMsm2b9/ORCeJCE2bNv1m79/f4efnh/bt25tsf/PmDTiOw7Jly9i2Fy9eQCaTQSaT/a3W29fI5cuXQUTYs2eP0fbDhw/Dw8MDcrkchQsXRpUqVfDjjz+aZOS9f/8eGo0GMpkMvr6+aNq0KapVq8aEikeMGJGX5jCE6jOEatfncP36dchkMjRs2BD379/HkSNH4OrqynzdwIEDmc5lXFwcKlWqZNQZuXTp0uJE7S/ExMT87cphmzZtEBYWxv7W6XTw9/dnz5fDhw/n1TBznV69esHDwyPbiX6FChVQr149k5X6xYsXQyKRmCzsJCQkQKvVonr16iDK6kSWX3qCQvUbQrXrc/n5558hlUqhVquh0WigVqvRsGFDEBF69+7Nnts3btyAr68vFAoFatWqhXXr1gleHuRziY6ORmhoaLb7atasicaNG7O/T5w4AU9PT/ZsMTMzE0xH77dv38LMzAwNGzZkv6/09HQ0bdoUUqkUEokE1tbW6N27N/r06QN3d/dsr9O+fXt2Pw2VROHh4fn2vROqzxCqXV/Cjh07IJVKodVqIZfL4eHhASLCr7/+anJseHg43N3dWQOfzp0758OICx4pKSmwtbVFkyZNjOY8t27dgrm5OYiI+TqD3mXp0qXRtWtXFC9eHERZ3aWFQPv27WFnZ4e7d++yba9evWINRa2srODr68ueA39tIHr06FFWjpyWlsYSDyIjI3Hnzh2MHz8eUVFRGDRoEG7cuJGntokBvFymcOHC6Nq1Kw4dOgSe5xEUFIRFixZh4cKFCAoKglQqBc/zcHR0RNu2bZl2kY+PD7y8vCCRSKBWq1G3bt38NqVAMWbMGKjVaty7d89oe0xMDORyOV69egUgqxthpUqVjEpqfX19cefOnfwYdo6ye/duEJHRyunixYtBRPD398fgwYMRFRXFOuVIpVJERkYiJSUFer0ePj4+ICIULlwY5cuXh0wmg62tLdq1aweO47B8+fJ8sUuoPkOodn0O9evXh6Ojo9Eql16vR5EiReDr6wuO42BpaYmAgADwPG8UvPPy8mLZzAsXLsxHKwoWq1evBhEZTVCArJR+JycndOvWDUDW4oZBD8rGxoaVi7Zr104QgYAePXqgaNGiRtsyMjIwfvx4KBQKtnLq5eWFvXv3AgC6d+8Of3//bK/XoEEDREREoFy5cpBIJH9bgpvbCNVvCNWuz+Hhw4fgeR5t2rRBYmIi3r59i6ioKPA8D6VSCYlEAqVSyRY5pFIprKysWFaolZUVbt26ld9mFBh++OEHyOVyVgpqwLBYOWbMGABZi5wymQxlypTBokWLsHjxYpQpUwYSiQQ7duzIh5HnLHPnzoVMJjMqcZ0+fTqIsprwzJs3D4MHD4aFhQVbxP3rPdPr9fD390ezZs0AZAUFiAh16tTJU1s+Rag+Q6h2fS46nQ52dnYoV64ckpKScPLkSahUKvA8j4CAAPYM1ul0WLhwIYgIq1atAgCMGDECRFkNGj5tdvitsnnzZkgkEnh7e2PEiBHo2LEj1Go1kwt59OgRzp8/DyLC5MmTjeSTxo8fDyJCTExMPlvx30hNTYVSqWTasgZiY2NZNrIheer27duwtrYGEaFu3bqYOXMm2rdvD7lcjurVqyM9PR2//fYbiAjNmzfPD3NMEAN4uUhmZiaICEuXLgUAHD9+nL2AGiLeJ06cwM2bNxEYGAiZTIZKlSph/fr1yMzMREZGBpo0acIi5levXs1niwoOb9++RdGiRaHVajF48GDMnz8ftWrVYlpuQFYXSy8vLxQpUgSxsbF49uwZtm/fDk9PT9jY2Hz1XXgePHgAIsLKlSsBZGV0KpVKlC1blqXzKhQKNGjQADzPw9fXl5Usrl27FkSEuXPnshWaZ8+eITg4GK6urpBIJHB1dc0Xu4TqM4Rq17/l2rVrkMvl2a6SNm/eHL6+vrh79y7atWsHIkKZMmVw5coVpKenY/PmzbC0tISbmxs6dOgAKysrcZL2//n48SOcnJwQGBiImzdvAsjKOm7VqhV4nmdduevXrw87OzscOnQIer0eqampmDlzJogI06dPz08TcgRDp8VPO8xGRkaC4ziULl0aERERaNiwIczMzCCVSjFt2jSMGDECNjY2JmUTer0eJUuWRFRUFAYPHgyZTIaLFy/mtUkAhOs3hGrXv0Wn06F8+fIwNzc3kgfQ6/X47rvvwHEc6tSpg4YNG0Kr1UKlUmHXrl3Q6/XIyMjAsmXLIJFIwPO8KLXy/3nz5g0sLS0RFhbGFjQePXrEysMMAYAyZcqgQoUKRhUxGRkZqFixImxtbb/6BY2BAwfC29ub/f3mzRsoFAp07doVs2fPxpw5c/Ds2TPcv38fCoUCUqkUTZs2Zd9DnU6HGTNmgIiYXur69etBREynMT8Qqs8Qql2fy4kTJ0BEOH78ONv27NkzlC5dmiUhBAcHw9nZmWWJGX6rCQkJkMvlkEgk2VZnfYscOXIElpaWkMvlcHBwQFRUFDp16gQiQv/+/dGyZctsNQQzMjLg4OAAIsK1a9fyafT/ndevX4OIEBsba7Q9ODgYDg4OcHd3R7FixTBy5Ei8fv0ax48fZwu9EokEhQsXxsSJE5GSkoLU1FTUqVMHUqkUJUqUQJMmTdCtWzcsXrwYCQkJ+WKfGMDLRZ4+fQqe501eWN+/f4+AgAAQESpWrIjWrVtDoVCgU6dOJtcwpK1zHIf58+fn1dC/Cl69eoWuXbsyXQ47OzujgKmhS9FfdQAeP34MqVSKgQMHIjU1FT/99BPKlSsHGxsbFC9eHDNmzMCzZ8+wefNmbNmyJVuNwoJC3bp1YWtri+PHj2P58uXM+XyacahQKKDRaODs7Mw6MpYoUQKVK1c2uZ5BY0cmk8HS0jLvDYJwfYZQ7fq3REZGwszMDLVq1TLZZ9CWGDt2LBo2bIgSJUqYlCxu2bIFRIQWLVpkWzr+LXPlyhU2qbW1tWWT3ZIlSyI1NdUk2P8pzZs3h0qlyva6L1++xC+//ILdu3cXeA3CjIwMhISEwMrKCrNmzcLKlStNfKAh49hQQhwcHAwiwvjx442uZdCn3bNnDypUqACpVJpvTZCE6jeEate/ZdSoUSAiVKpUyWSfQX9MrVYzrZ158+aZHNelSxfIZDI4OzsjJSUlL4Zd4Dl16hTromprawuO46BUKqFSqbB161b88ccfIKJspRh++eUXVrocEhKCoKAgjBw58qvr3j1v3jzwPM/GvWTJEpbBafCJPM+jbt26iI6OBs/z4HkeFhYWqFu3Lusy26NHD6Snp2PLli2wtLSERCJhi0T5gVB9hlDt+hw+fvzItLez+72NHDmSvQv7+fnhzJkzRoF2vV4PKysryOVyyGSyb/pefsqbN2/Qvn17KJVKEBHkcrmRHzA3N8+2qVnFihUhl8vh5eUFLy8vhIaGYt68eSaNIwsymZmZcHR0RJcuXdi2w4cPQyqVwtXVFYMGDULHjh2h0Wjg6emJuLg4SCQSVqUilUpRv359dO3aFc7OzpDJZExuQSaTsWezVqvFkSNH8tw+MYCXixjKGWUyGX755RfmbO7cuQM3NzcoFArWRYfneZM0TyArBdTwQ8vu5Usky0H17t0b1tbW7AfVvHlzlC1bFqVKlcr2nAoVKrDyZENNu7u7O6ytrdmq9qcTnlatWmXb0Se/efXqFZusGjoLVapUCVeuXEFmZiYOHz4Mb29vJrrp4OAArVYLc3Pzv9W4MwRE/+7e5TZC9RlCtevfYmtri/r164PjOKOHnV6vR//+/Y2CLdl9NzMyMiCRSFjwZdu2bXk5/AKPIaPOsJBh8GuOjo6oW7cuiCjbMlDDy12ZMmVgbm4OFxcX9O7dG+XLl2eTGcNEb86cOflg2b8nPj4eWq2WfUekUimUSiVatGiBhg0bQi6XQ6lUwsLCAhzHwdrampXXBgUFISYmBjVr1gRRVvfF+fPng4jg5+eXbzYJ1W8I1a5/Q0JCAjQaDUJDQ2FjY2MSfEtNTYWlpaXRQlx2guQbN25k+9esWZNXwy/wJCUlwc/PD3K5HE2aNMEvv/zCdI4MFS3ZLQCtXr0aUqkUKpUKrVq1QnBwMMvqcXR0RLNmzbB169Z8aWbzOcTHx0Oj0aBu3bp4//49ihUrBp7nMW7cOFy7dg27d+9G2bJlWYmdVquFmZkZPDw8oNVqUb58eeYXDXNgiUSCevXq5atdQvUZQrXrc4iJiWHfueyaKBgqiQyB+b9WYBiypwxzlnXr1uXRyL8OkpKS0K5dO/A8j1GjRuH69es4dOgQqlSpAplMZqQx+PbtW3avixUrhoEDB6Jhw4aQSCQoWbIkLl26lI+WfB6TJk2CVCrFggULkJKSAmdnZ1SuXNnomfvw4UPY2tqiefPmbFGNiNChQwdUrFgRAQEBaN26NVxdXeHr6wu9Xo+EhAS2CFeiRAmYm5vn+SKvGMDLRRYuXAiO41CvXj0QEYoWLYrQ0FCm82RlZYXKlSuzVM3g4GCT1P3NmzezCdrXnMqaV2RmZiIsLIx103F1dc22HMLS0hJSqRQDBgzA3r170bJlSxARQkJCMGPGDAwaNAhWVlZssqdQKNCoUaN8sOj/pnLlymzFQKPRmPzWDHX7KpUKRARra2vY2dmhRo0aJte6du0aewjmVSvsvyJUnyFUu/4tDg4OLEAilUrRrFkzjBgxAmXKlGHfORsbG1hYWKBt27Ym5z99+tTohfavmm8iWej1epw8eRIrVqzATz/9BLlczibGBuHi58+f48yZM3jy5Alr1BAaGoqpU6eiQYMGLIPP29ubvcAaXuYaN25s0uWxIKFQKBAcHAypVAoPDw88f/6c7bt37x4LcKrVatjY2KBw4cKoXLkyW1U1NPUxZKHI5fJ8y74DhOs3hGrXv8Hwsrljxw5IJBJ0796dBYXS0tLQs2dPEGU1MLt48WK2ZUAAMHr0aEilUsjlcqMOqyJZHaa7devG5j2G0idD9ll2OkYuLi5wcnLCkydPEB0dDY7j0KpVK8yZMwfR0dGsAQTHcShRokSB1svbtWsXJBIJW5D9awVPcnIyXFxcjKo2IiIiQETo1asXHj16hNWrV2PAgAGws7ODUqnE7Nmz87W8WKg+Q6h2/VsyMjJgZWWFQYMGoUGDBrCxscGePXug1+uRlJSECRMmsHmfTCaDRCJB9erVceXKFXz8+BHbtm2Ds7MzAgICoNVqQSScJgw5xfPnz8HzPKZOnWq0PS0tDUWLFkV4eDiALMkBQ1yiQ4cO0Ol0OHfuHLy9vY3m3/b29oiJicG9e/cKtORAZmYmOnbsyOZyRIQTJ06YHDdy5Ej23Tp79ix7bpQpUwY1a9YEz/OwsbHB7du3jc4LDw9HmTJlIJfL8cMPP+SVWQDEAF6ucv/+fRBl6YwdOHAAnTt3xnfffYfWrVtDIpFAIpGwL4nB6XTr1g0vXrxAZmYmtm/fDjs7O2i1WkgkEhQpUqRA/1AKCvfu3YO5uTkKFSoEIsLy5csxffp0NG7cGK1bt2Y6hIaMxqSkJGi1WkRHRxvd38ePH8PKygoBAQEsUy8/ywf+ju7du0OtVqNIkSJo2rRptscUKVIEWq2WdRhq1KgRiAhLlixhNr969QqhoaHgeR69e/fOSxOMEKrPEKpd/5ZOnTrByckJcXFx+PHHH1G6dGmmR1alShVMnjwZ4eHh7EH76YKFTqdD+/btodFoWClkixYt8tGar4e9e/eC4zgmBN2gQQOjzDqJRMK0ZF6+fAkzMzNERESwMpY3b96gRYsW4HkenTp1glQqLdDBAjMzMzg6OoKIsHr1apP9U6dOBcdxCA0NZRk55ubmePnyJRo1asSy9yQSCUJDQ/H27dt8sOJ/CNVvCNWuf8Ovv/4Koiy9xsWLF4PjONjZ2aFWrVqwsbEBx3EoV64cVCoVAgICYG1tjaJFi+Lly5e4ffs2Tp48iRMnTsDKyopl4Od3dlRBJSEhAbdu3cLbt2+h1+sRFhbGfuOVKlVC48aN0apVK/bsmTt3Lk6fPs3mjp+ya9cuEBE6deqEsLAwEBEWLFiQT5b9MzqdziiDLjsJhCFDhrBFC6VSCblcDj8/P8hkMlZSS0RwdnZGjRo1WLZJfskpCNVnCNWuf8vbt2/ZIsXbt29RsWJF9mw2JGMYdL2HDx+O6OhoVs5o+FexYkU8f/6clUSWK1cuv80qUBiytf/arAYAJk6cCKlUCicnJ3Acx6q5Xr58iSdPnkCr1aJs2bI4ceIE4uPjERsbi0KFCjHf4ubmVuA7eIeEhDC//8cff5jsN1SiaDQajBw5EmXLloVcLoe9vT1rIpWdnNYPP/wAtVqN4OBgdOzYMS9MYYgBvFymffv2kMlkGD58OH799VeMGzcORFmd/+Li4qDX67Fp0ybIZDIoFAr2YmWIFFeuXBlVqlSBjY0NiAinTp3Kb5O+Ci5evAgHBwf24iqTyVC9enV4enqCiGBhYYGMjAwAwNatW0FEJh1tAaBfv35MzJOIsGjRorw25f/EoB/m7OyMkJAQk/2pqamwsLCAm5sbatWqBZlMxjrPEhGKFCmCKlWqQC6Xs5XYn376KR8syUKoPkOodv1b7t+/D2tra/j4+OCnn35Cv379QEQ4ePCg0XFjxowBz/NQKBRo2bIlwsPDWTB+4sSJIMoq77ayshIXNP4l58+fZ9IA1tbWWLBgAX777Tc0btwYRMSy1KZOnQqlUmkStEpOToaVlRUGDx7MJjoFcTEDAFukIKJsG08YXsINq/oGCYvt27ejWLFiRoHNgICAbEsX8xKh+g2h2vVvyMzMhKurKxo0aACdTodLly5BoVDA2dkZffr0Yb+tGzduQK1WIzAwEFKp1OSl1aBpq1AoxAWNf4lOp4Ofn59RiZjh+UJEOHDgAPr16wcXFxcTHVYAKF26NKKioqDX69G5c2doNJp8EzH/vzAEPYgIGzZsMMpGBoDevXtDJpOhYsWK7GWc53lUq1aNvafs37+f3Ye5c+eCiFCuXLl8efYK1WcI1a5/S0ZGBmtICABHjx4FEaF+/fqYOXMmHj16BADs/blXr16sSsDw/XZ2dka5cuXg5ubG9MxF/odB39NwLz9l+PDhTAfTw8MDSqUSZmZm0Ov1GDZsGLRaLd69e2d0zrlz50BEGDJkCMLCwiCVSrPNbCsoGCTNOI7DxIkTkZSUhD179iA2NhZPnz5F3bp1odFo4ObmBjs7O8jlcpQuXRru7u44ePAgiAgXLlwwuW7Xrl3h6uoKa2trDB8+PE9tEgN4uUx6ejoGDRrEskY4jkPRokXZA/Hw4cNQq9XQaDSoV68e0+koW7YsDh06hGnTpoHjOHa+ocOqyP9NZmYmFAoFihcvziYukZGRsLa2hrW1Nft/YOjIml1X2okTJ7JVSCLC2rVr89SGf0NGRgYcHR1ZNufu3buN9k+ZMoWtUMnlcnh6erKudlWqVEGnTp3QvHlzTJ48Gc+fP0doaCgUCkW+af4J1WcI1a7P4ebNm6hbty7TqixfvrzJMSkpKey7zHEcFAoFK3uUy+WQy+VsRSw+Pj4frPg6GTJkCIiIaZ3odDrY29uD4zhWEtu+fXuEhoZme37t2rXRoEEDpKWlQa1WY9q0aXk29s/BsCDD8zx69OiBzMxMJCUl4cGDB0hMTETfvn0hk8kwe/ZsJohtWLwoV64c9u7di+vXr2Ps2LFs8efcuXP5Zo9Q/YZQ7fq3xMbGsky7Ll26gCh7WYDOnTvDyckJPM+jePHi2LBhA8uINcxL5HI5WrduDSBrznnp0iVcuXKFLVKKGFO1alU4OzuzLG+dTocVK1aw5madO3f+Ww3g8PBwNGzYEABYQ4xNmzbl1dA/i6pVqxoFfSUSCUqUKIGePXti9erV0Gq1TIvbz88P+/btQ9u2bdnCxl/JyMiAra3t35ah5TZC9RlCtetz6N+/P8zMzHD06FF06NABPj4+JkHitLQ02NraolChQrCwsMDs2bMxcOBAEBFcXV3RqlUrJn3h7u4OIEtS5Pr16zhx4kS+Z9PnFTqdDrdv38bNmzfZM+DDhw/QaDTo1auX0bFv376Fvb09FAoFAgIC0KhRI0RGRrLfeKVKlf52ccjNzQ0xMTFIT09H6dKlUaVKlVy37Ut5+PChUUbyp89PgyyCnZ0dOI6Dh4cH5HI51Go1lEolhg0bBjs7O1SrVs1Ie/HChQtQq9UoV64cOI7DnTt38tQmMYCXRyQmJuLSpUtwd3fHoEGDAGS9qNra2qJGjRrs/uj1etY9z9BQITQ0FEWLFgURwdHR8avqApOfnD17FkRklNrr6+vLhCoNXcgMpc6LFy82Ol+n06F06dLw9vZmJQYFMWCQnp6ODh06gOd5SKVS8DyPokWLIjAwkE22zMzMYG9vzwLBbdu2hUwmy3YSZvj+zZ49Ox+sEa7PEKpdX8KHDx9Qrlw5tGzZMtv9hqzXwYMH49WrV6hUqRKkUikaNGiAvn37ws3NDRzHYcCAAUhMTMT27duxefNmkwwDkf/RtWtXFC1alP198uRJNoHZuHEjAGDEiBGwtrY2EdU3ZAx169YN6enpMDMzK5ABPJ1Oh1GjRhlNzpRKJdMANHQOq1ixIqysrBASEgIiQlhYGNRqtYnds2fPBlGWfm1+ZXsK1W8I1a7P4cCBA0wwm4iy7SQ7YcIEKJVKaLVaxMfHIyoqCkqlElOnTsWdO3dw+PBhVKxYERKJBPXr14eTkxO7nouLS7Zl5N8yt27d+tugm0ajAc/zaN++PYgIt27dMtr//PlzyOVy5vuSk5NBlL3ofn5z+fJlyGQyVKtWDUePHmVa3La2tmwBjOd5NGnSBFKpFD/++CM7d8CAAZDL5dn+NosVKwa1Wo1hw4blpTkAhOszhGrX55CUlMR8oVarRURERLbHGbTYjh07hps3b4KIEBMTwxIydDodRowYwRJhDLqXhkzl7t27C7pj9y+//AIfHx+jZ8CyZcsAADNnzgQRoWHDhli7di1mzpwJV1dXmJmZoV27drC1tYWFhQW6devGKrVCQ0NRrVo1k88xNFoaO3YsAGDRokUgIpPmIgWBd+/ewdvbG7a2tujQoQOICJGRkbh58yZevnyJ2bNnQy6XIyQkBFWqVIGDgwOioqJAlFVSa8jQlslksLW1RadOnVCvXj1IpVImr5XX+neAGMDLc0JCQtCkSRMA/6tJz27V1draGq6urmyfXq/Hrl272Crss2fPkJSUhEWLFiEyMhLR0dHYvn07MjMz89Segozh/n6a+hsWFoZ69eqhbt26UKvVGD9+PM6dO4fQ0FCoVCosWLAAr1+/xm+//YbmzZuzmnkiwqxZs/LNlr8jMzOTdWeKiorCjBkz2APOzc0NDRo0YN15tVotfvzxR1YaIZPJcPr0aZNrrl69GkRZeoz5gVB9hlDt+lJiYmJgaWlpUn50+fJlSCQShISEQK/X44cffgDP80byARkZGez3aXiAfpp1VZCbLOQXPXv2hKenJwtEGfxj9erVYWlpidWrV+Py5cvgOA79+vVjzxK9Xo/vv/8eRITz589jxYoVICL89ttv+WlOtowcORIcx2Hw4MG4fPkyAgICoNFoMG7cOBw8eBCTJk2ChYUFpFIpypYty/TwXF1ds824SUhIYN+tK1eu5L1BEK7fEKpdX8Lly5eNAukG9Ho9ypQpA5VKhXbt2uHu3bsgMpXySElJYVp4bdq0wcmTJ3Hs2DG0aNECRIT169fnpTkFmp07d4KI8OzZM5N9lpaW8Pf3Zy9rbm5u2LlzJ969e4dDhw6hZMmSsLe3Z01tli1b9rdz+PwmMjISnp6eSEtLw4QJE8DzPNasWcMCHSdPnoSVlRU4joNMJsOAAQOQlJSER48ese/jzz//bHTN69evgyhLgkYM4OUcQrXrc8nIyMCWLVtQsmRJmJmZmdyP58+fg+M4uLu7Q6/XIyYmBnZ2diZdoQ1NMQzzyL179+LmzZuYNGkSlEolIiMj89KsPGPnzp3gOA516tTB3r17cfjwYZZNt2TJEgBZ73d+fn6swqVBgwYscyw+Ph7e3t6sAZjhmcJxnIl8lyEYaJAYKcgBvGnTpkGhUODevXuoWrVqthIAs2bNMtI/JiLMmTMHaWlp0Ov1OHToEGxtbeHh4QFvb2/Y29vD3d0dkZGR2b5H5wViAC+PmTNnDqRSKY4fP44ZM2ZAo9GYHGNYITRkiH1K9+7dwfM8NBoNbGxsIJFIUL58eZQsWRJEhPDwcEGvLnwOhu5tu3btYtsWLFgAiUSCPXv2oEePHqxU79M0WsPfho5jhQsXzvb/RUHAUC62c+dOAMCRI0dARJg8eTKbqKWkpCAyMpLZxvM8ChUqBJ7nTbp96nQ6VKxYETKZLN/KtYXqM4Rq15fy6NEjaDQaVKpUCZcuXUJaWhr27t0LNzc3yGQyjB49GgBQqlSpbDP15syZwwLN9+/fx4sXLzB16lTwPI8BAwbktTkFnv379xv5CkPH6bVr16J+/frM7326chsZGQkPDw8QEdq3b4/hw4dDLpejVatW+WyNKe/fv4darcbQoUMBANu2bWMr9Z9y4cIF5t8tLCzYgkd2XSlfvnzJ7kd+iTQL1W8I1a4vxdDAIjY2FhkZGXj27BnrnmdmZoaWLVsy/cm/viRlZmbC0tLSpNRJr9ejfv36+ZpBWtC4evWqybzQgL29PVq2bInr168jJiaGZaoZ/mk0GmzYsAEvX77ETz/9BDMzs2z9RkHA2dkZw4YNg06ng6OjY7YLsoYGKj179oRUKmWZyjzPg+M4uLm54dSpU0hMTMSuXbvg4eHBMjzz46VVqD5DqHZ9KU+ePIFarUZERAQePnwIAPj9999Zkz1HR0fo9Xq0bt0aFSpUyPYajo6OcHR0NGm4YvChf+0m+rWj1+tRunRpVK9e3US7s3Xr1nB2dmbltM+fPzcK6n2KYYF2+vTpqFatGsLCwuDp6QmFQoEuXbpgzpw5aNiwIYiILXoaSmizy9QrCISFhbEGj3K5HDNnzjQ5Ji4uDkSEAQMGsIq1v7Js2TJwHJetjmB+IAbw8pjU1FRUq1aNrQwQEa5evWp0zN69e0GUfacUQ3mjVCqFi4uL0crfvn37oFQqMXLkyFy342tAr9cjODgYXl5ezFmnpKSgePHibOWhV69e7AWV53ncvHkTGzduxOLFi3HmzJkCuZrwKS1btkRgYCD7OyoqCr6+viaT9Tdv3kChUKB58+Zwc3NjZbZEhFatWuHgwYPYuXMnatasCY7jIJFI8OTJk7w2B4BwfYZQ7fovnDhxAtbW1kYvSUFBQfDz82Mvoy4uLtmKw/r7+yMiIsLkuz5mzBioVCoT0d1vHZ1Oh4iICCiVSgwYMABbt26Fm5sbHB0dcfHiRdy+fRsrV65E586dWbnJpyLRRFld4QYNGmSy4l0QMAgNG3x9p06d/lbIOjg4GKVLl4aVlRWzUaFQmEgKDB06FDKZDBKJJN/Ks4XqN4Rq15fy9u1b1unTkAFgZmaGxYsXs8yR6dOng4jw6tUro3MNi75/bQgE/C+Qnd18Uijo9XqcOHEC8+fPx+bNm/9x3qbX69kz5s8//2TbDx8+zCRIDh8+zI49c+YMSpUqBYlEYtK9OyoqCklJSblu35fg6emJ7t27s9/ZunXrTI65c+cOiAhHjhzB1KlTIZVK8fPPP2PWrFmwt7c3kiIgytLFk8vlqFevntjEIgcRql3/hQMHDrAMMK1WyzI/CxcuDKKsjrXjxo2DmZmZiX55YmIi5HJ5tgu5KSkpkEgk/2f36LS0NOzfvx+xsbHZdh8taLx69epvs62PHz9uFGu4ffs2+93/lcOHD7MFzZiYGFhZWeHVq1cYM2YMXF1dIZfLWbOv/v37Y/PmzShfvjx4ni+wTSxCQ0MRFRUFALCyssr2fcKQXbxv3z6W6PPXd2CD5unevXvzZNz/F2IALx9ITU1l3UAVCgUCAwPZ5Orjx49sEpedRke3bt3YC8eGDRtM9vfu3Rv29vbiauv/5/79+yhSpAg4jkOpUqXg6OgIIkJISAhCQkLg5eWFpk2bIiAgABKJBJcuXcrvIX8WdevWRZ06ddjflSpVYo7qr/j4+KB///549eoVtFot+/59+pJuyEicN29eXplgglB9hlDt+q88f/4cMpkM5cqVw8mTJ6HX6zFz5kxIpVIcPnwY1apVg7+/v5FPS0pKAhFh5cqVJtf7/fffQUQ4evRoHlrxdZCSkoLBgwezibFUKmUBVE9PT/bfcrkcHTt2RGJiIuLi4vDs2TPcvHmzwL6sAv+bpBo6z3bs2BH+/v7ZHmvQXzSUirVv3x6enp6QyWQYOnQoaxRguBdt2rTJS1OMEKrfEKpd/5Vdu3aB4zhUrVoVr1+/BgC8fv2a6RNJpVLWrdHAqVOn/jarzFAqn13JqBD49ddf4eDgwBrOEBEsLS2xY8eOvz3n999/h6OjI+RyOcLDwxEcHAwiQpEiRVC9enVwHIcaNWqgffv2cHBwgEQigUKhwPXr13Hw4EFs2bKlwL/UDx48GFqtFg8fPvzbktfNmzeDiHDnzh28efPGqGz20aNHUCgU8PDwYIFLjUaD/v3751uVj1B9hlDt+q8kJydjzZo1KFu2LBQKBY4dOwa9Xo8GDRpALpcjNDSUaX8aFjVev36Npk2bQiaTZZt1+u7dOxAR5s6d+7efu2nTJqMOzhzHFehgPZBlt6Gi4q8YgnLXr18HkBWDsLGxQb9+/UyO7dOnD9MCXbp0KVQqFWrVqoU7d+5Ar9fj3Llz8PX1NQrue3l55VuFwr9h5MiRMDc3x6tXr9C1a1fY29sbPQ91Oh1atmwJOzs7pKam4s8//zSqVjFgSK66fPlyXpuQLWIAL5+Ij4+Hn58fVCoVzMzMIJVKUbx4ccjlcnAcB1tbW7i5ubHadL1ejx07dhhNUgypxZ9i6Kj617Thb5mPHz9i+fLlaN26NTiOg7+/P3P2Op0O8+fPZ47o/v37+Tzaz2P8+PFQqVRsot+xY0e4u7ubaCE+e/YMUqkUP/30E4AsQXtvb28EBwfD2dkZlStXRokSJRAVFZVv9fwGhOozhGpXTrBu3TpIpVIUKlQILVq0gI+Pj1G2AxGha9euePXqFfR6PQ4cOACO4zB9+nSTax07dgxEhDNnzuSDJXmLXq9HYmLiZ2fEpaeno2PHjpBKpbCyskLNmjVRsmRJKJVKWFpaguM4E52tgk5aWhocHBwQGRkJvV7PXk7Pnj1rdJyhdNgQ/C1btixatWqF+Ph4o0m74Tlbu3btfOvIDQjXbwjVrpxg6dKl4DgO9vb2aNSoEdzd3UGU1ZBFLpeDKEuIfNWqVZg4cSLs7OzA8zxq1qxpVD6VkZGBChUqQKVSCVIX9ObNm5DL5dBoNOjQoQOio6Nhbm4OMzMzyGSyf9TpfPv2LWbMmIEGDRqgRYsWCA0NhYWFBa5fv47ly5ejRo0arBGYWq1GzZo189Cy/87Lly/h7u4Oe3t7hISEwNzcnC1uAFlzwqJFiyIsLAwA2EvrpzqMTZs2RVhYGN69e4f79+/ne0WKUH2GUO3KKRISEmBmZgairMYUlStXZs/pOnXqQKVSQS6Xo2jRouB5HhKJBBEREbC0tDRZuBgzZgw4jkOlSpWyTXQ5ceIEJBIJmjZtimvXruHVq1dYsGABkzEoyISGhiIsLMyo+7her0eTJk1M3gvHjh0LiUSCH374AYmJiUhISMCMGTMgkUgwZswY1K1bly1qGErrDc8emUyGvn374ty5c/jjjz8KfMLQ8+fPYW9vD19fX8ybNw8ODg6wtbXFsGHD8MMPPyAkJAQcx7Hgp2FB7NPmRPHx8QgMDDRJJshPxABePhIfH49hw4bB1dWVOR1D5t2jR4/g4eEBjuMQEhLCdHo8PT2hVCr/NiW+Z8+ecHBwKDBfsJwmLi4OBw8exMWLF7/IxnLlyrGOslWrVkWRIkVARLC3t0eZMmVyYcS5y4sXL2BtbY3g4GCcOnWKdZbs3bs3C+K+fPkSNWvWhFarZanm3bt3R9GiRVnWSkFKfRaqzxCqXTnFjRs30LFjR/A8jxIlSmD8+PEgIgwbNgyzZ89m2aKGiZyh+YBBUBzICkzVrFkTPM8jNjY2H63JfVatWsXEiGUyGVq1aoUHDx786/Pj4uKg0Wjg7OwMDw8P+Pr6IjIyEr6+vnB0dMzXoNWXsmrVKhBlNeZYsmQJ3NzcoNVq8cMPP+DMmTOYPXs27O3tUaJECfYyGhISwjT9Bg8eDDs7O0yePBlTp07FhQsX8tMcAML1G0K1K6e4dOkSFAoF3N3d0alTJ1SpUgXu7u54/vw5VqxYwX77EokEFhYWLHOsYsWKWLt2LVatWoWyZcuyeWV25bVfO6VLl4aHh4dRSfHz58/h7u4OlUqFzp07/+trvXr1ChYWFuB5Hk2bNkV0dDQsLS1ZVcK+fftyw4Rc5dmzZ+jcuTPUajWkUik4jkPlypVRr149KBQKODo6MsmBmJgYqFQqxMfHs/NbtmyJ8uXL59fwTRCqzxCqXTmJn58fqlSpghYtWqBhw4awsrJCdHQ0gCyJoB9//BF9+/ZFqVKlWFWRTCaDo6MjpkyZgvXr16Nly5YgIjRr1gxEhF9//dXkc+rVq4eAgACTJAiDdl5BTvI4dOgQpFIpKlSogPXr12PLli2oXbt2tvGCzMxM9OzZk2m/G6STevXqhczMTOh0OuzcuRNt27ZF48aN0bx5c7Rs2RKjRo0yKVn+Gvj9999RsWJFIwkEQ9wlLCyMPR9TUlJQpUoVqFQqSCQS1K5dG1FRUbCwsICVlVWBqtITA3gFgGfPnoEoS/spKCiIbU9KSsKSJUsQGRnJsgG0Wi0KFSrEmisYOsDo9Xrs3LkTcrmcib8LiaSkJERHRxul7fr6+uLkyZOfdZ3ff/8dVlZW0Gg0KFq0KEqXLg0HBweo1WqTTI2vhYsXL7IA76f/zM3NUbJkScjlcpibmzNdl7dv37L06ffv3/9tOXZ+IVSfIVS7cpLdu3eDiPDgwQPUq1cPQUFBLFD/5s0bLF68GH369AERwc/PDzzPw8HBASNGjMCUKVOYvqVcLi+QXaNzimnTprEsnNWrV2PatGlwcXGBg4PDZ2lXnj59mmnKGF70vb29C2SH2X/Ltm3bEBQUxIK8n2pX8TyPli1b4uXLlwD+1+hozZo1AIARI0ZkK16cnwjVbwjVrpziyZMnICLs3r0bHz58gEQiwZw5c9h+vV6P5ORk/Pzzz+y7bviOG+YAUqmUdZ7PbsH3a8YgxJ6djML8+fNZtcXn8OjRI3h6ekIqlbI5t1Kp/D/1sgo6hkztuXPnwtLSEhKJBFZWVpgyZQpiY2NZYGPChAnsnGfPnkGtVmPcuHH5OHJjhOozhGpXTjJs2DBYWFjg+fPnTMMtu7JNwxySiFjm2KfP/5iYGGRkZECj0WDatGkm51tZWWH8+PEm2w0d6VevXp0r9uUUBw4cYPMfwzz5n5ow/vHHH1i8eDGWLFmSb7rnecmDBw9w7tw5vHnzBgcOHIBGo4FSqUS7du3Qv39/ODk5QSKRwN3dHRzHQaFQwN/fH8OGDcPTp0/ze/hGiAG8AoBBPDEoKAjNmjXL9hhPT09UqVKFtTTesGEDK7ctU6YMC+DUrl0bqampeWxBznLv3j3ExMSgfv366NKlC86ePYtGjRrBzMwMs2bNwv3793Hw4EGEhYVBrVbj1q1bn3X9hw8folu3bnByckKhQoUQHR2Nmzdv5pI1eYNOp8PRo0exZs0anD59Gr1792aZmhzHoXfv3jhx4gRWr14NX19f2NjY4PHjx9i+fXuBqukHhOszhGpXTnLgwAEQEX777Td4eXkhJiYm2+PUajWICP7+/nB0dATP86xrtGHFcfv27Xk8+tzl3bt3+PDhA969eweVSmWiX/Ly5UvY2dmhR48en3Xd9PR07Nq1Cz/99BMOHDhg0sHsayUpKQmpqak4duwYrKysIJFIYGZmhokTJ+Lo0aOYOnUqrK2tUbp0aaSmpiIpKQnu7u747rvv8nvoRgjVbwjVrpwiMTERMpkM06dPx9OnT0GUvcbdr7/+CiLCoEGDMHfuXPj7+7OXt0mTJrFScoP+kVC4ceMGiAinTp0y2Wd4jpQtW/aLrn3+/HnMmzcPq1evFlwzJL1ej2XLlsHb25sFfc3NzSGXy/H999/j7NmzWL58OTw9PeHk5GTSMCU/EarPEKpdOUlcXBycnJzg5uaGMWPGgIjwyy+/mBy3fv16EBEOHDgAIKtRS6VKlSCRSJjuXUJCAuRyudGCiIHChQujT58+JtsfPHgAIsKWLVty2LLcIS4uDn/++adgq/Fyirdv3yImJgZFixaFp6cnmjZtiu7du6NHjx6YP39+gf5NigG8AkBiYiI0Gg3KlSsHa2trE6FMQ6eov640/vTTT2yiVqpUKezZs+erf/mKjY2FTCaDtbU16taty0pciUzFOZOTk+Hs7PxZZRLfEsnJyTh37hy6dOnCAh5EhKpVq+LGjRu4evUq3N3dUa5cufweqhFC9RlCtSsn+fjxI6ytrdGuXTtUrFgRtWrVMjnGMJEaO3Ys23b37l04OTnBzs4OwcHBcHFxEYzm0549e5jIumFFlYiMOigaGDRoEBwdHfNhlAWbjx8/YunSpQgKCmI6LhKJBMWLF8e+ffsQGxuLoKAgmJmZ4caNG/k9XCOE6jeEaldO0rp1azg4OODWrVsoVKhQtqLso0aNgkajQUJCAoCsgHyFChVgZ2eHw4cPw9HREdWqVcvroec6SUlJ0Gg0GDFihMm+fv36QSqVfvWZc7lNYmIiXr58iaSkJPTo0YOVCxMRatWqVeDKBYXqM4RqV07z8OFDNG7cGBKJBFKpFOXLlzea56WmpiIoKAiBgYFG571//x5mZmasOm3cuHHZdhkFgAEDBsDS0tKoSY1er0eHDh1gYWFRoBtZiHxbiAG8AkL//v0hl8uhUChQq1Yt3L17F3q9Hr/++ivLmPqrgKyhpXGhQoUEcX9fvXoFpVKJFi1aMFt1Oh0mTZpktKLyKX379oWXl9ffXvPcuXNo1KgRLCwsYGNjg06dOmXb/EPoJCYmolWrViAi2NnZoWjRoiAiFC1alHVALigI1WcI1a6cZtGiRSAilChRgmmCGvj48SPq1KkDtVpt0qhnxYoVIMrqQFgQtMtygq1btzLdotWrV2PZsmUICgoCx3HZZuOMHTsWNjY2/3jN+/fv44cffsCUKVNw/vz53Bp6gSUhIQG3bt1iXRoNL6zBwcE4d+5cfg/PBKH6DaHalZPExcXBx8cHMpkMvr6+kEgkmDlzJpKTk5GamorFixdDLpdjwIABRudt27aNfa+DgoLw4sWLfLIgdxk4cCBkMhmWL1+OtLQ0pKamYuHChZBKpShSpMhnN/f51vnw4QOuXbtWYDsWC9VnCNWu3OL9+/dYv349ZDIZSpcujXnz5mHOnDkoXrw4pFJptpretWvXRkBAAJo0acK0lbPjxYsXKFKkCGxsbBATE4OZM2ciLCwMRITFixfntmkiIv8aMYBXQEhNTUWLFi2MNEwMmQI8z6Ndu3Ym5+zZs+dvA1v5SUZGBvbs2YMFCxZg7969RmKg169fR8+ePREeHo4OHToYdYr88ccfIZfLWUdVA3q9Ht7e3mjevLnJZ7Vv3x7FixfPdhz79u2DTCZD8eLFMWnSJIwYMQKOjo6wtbXF3bt3c8jar4urV69i+PDh6NOnDzZs2FAgJ7hC9RlCtSs32LRpE/z9/VmJT2BgIFq2bAlra2tIJBKMHDnS5ByDFMHXJDb++PFjHDp0iAmJf4pOp4O3tzfq1KljlFmdnp6O4OBgeHh4GB2flpYGHx+fv5Vh0Ol0TD9QqVTC3NycyS58jQ0rcoLk5GRcuXKlwGWafIpQ/YZQ7cppPnz4gJkzZ6Jy5cpwcnICx3GQyWRMo80grfIpR48eBRFhyZIlX31Vxj+RlpbGFiaVSiXTvAoJCREzZQSIUH2GUO3KbU6dOoXw8HDWhEEul8PKysqk+sLwDmmoYFiyZMk/lpbGxcWhV69esLW1hUKhQOXKlbF79+7cNkdE5LMQA3gFjGvXrmHChAlo06YNhg4dihEjRoCIYGZmZqRT9vbtW/j7+6NkyZL5UuP+8eNH/PHHHyZZMBcvXoS7u7uRcGiRIkVw6dIlLFmyBBzHwcnJCU2aNIGHhweIiInkDhw4ED4+Ptl+Xps2beDu7m607dGjR9BoNNk27TC8/NaoUcPImb958wbu7u5o0aLFf70FIrmEUH2GUO3KTd6/f48NGzYgPDwcTk5OUCgUkEgk2WrjLViwABKJBM+fP8/TMb548QKbN2/Gtm3bWBnbpzx9+hRjxoxB48aN0blzZ5w8eRIvXrxA3bp1WZYMESEsLAx37txh5928efNvA5Jr1qwBEWHIkCH4/fffcfjwYVStWhVyuRwXL17MdpyzZs0Cx3H44Ycf8PHjR2RmZiI2NhYajYZ1cxMpeAjVbwjVrtzm4cOHmDdvHsaNGwe1Wp3twmbHjh1RqFChPJcR0Ov12Lp1K1q2bIno6GhcuXLlX5+bkZGBDx8+fNF89vr165g+fTpmzJjBGruJCA+h+gyh2pVXpKen4+LFiyyAP3nyZKP9y5cvBxFh7969+TRCEZGcRwzgFXD0ej06derEBNpr1aqFli1bQq1Ww8LCIs+bDyQlJaF3797QaDQgIqhUKnTq1Anx8fF48+YNbGxsEBISgl27dmHs2LGoV68eHB0dYWFhAalUiq5du7JJpU6nw9ixY0FEOHfuHBYsWACe503S93U6HQsKNmvWDCtXrsTYsWNhb28PDw8Pk4w9ALh06RKICEeOHDHZN336dPA8XyCzz0SE6zOEalde07NnTygUCuzatYu97J0/fx729vZo2rRpno0jIyMDffr0YZkwRASNRoOZM2eyYw4ePAi1Wg2NRoOqVavCxsYGRAQLCwsUKlQIK1aswIMHDxAbGwsfHx84OzsjPj4eQNZiDhHh+PHjJp8dGxtr1GWNiODj44ODBw9mO1a9Xg83Nze0bdvWZN+sWbPA87xgy+y+doTqN4RqV16ybNkyEBG6dOmCa9eu4caNG+jduzeICLNnz87Tsbx8+ZJ1tNZqtcw3VaxYMdsswPT0dJw4cQKbN29GdHQ00+l1c3PDzJkz8yRz8MKFC1i0aBE2b95sshgtUvAQqs8Qql15zYkTJ2Bvb88kMQYPHoyqVauCiNChQ4d8a+jw8eNHrFy5Et26dcOgQYMEI/Eikr+IAbyvAL1ej/379yMsLAwODg5wc3ND7969sxUxz00yMzNRpUoVmJmZYdSoUdizZw/GjRsHKysrlC5dGhEREZDJZFCr1ZBIJKwxh4WFBXu5/WtZQ2ZmJlxcXNCwYUO8f/8eFhYWCA8PZ0G5jx8/on///kyzoFixYiAiqNVqdOrUySjbJjMzE8eOHcPWrVuxYcMGEFG2guSrV68GEWWbLSOS/wjVZwjVrrzm48ePqFWrFogIXl5eTCuvVKlSedoxb8iQIZBKpZg8eTLi4uLw8OFD9OrVi708r127FhqNBjVq1GCZbjKZDE5OTiAi/Prrr0bXe/r0KeRyOcaPHw8g6wXX0dHRJDtOr9ejTp06KF68ON6+fYtjx47h0qVL/zg5ff/+PYgI69atM9l369YtEBGOHTv232+KSI4jVL8hVLvymjlz5sDa2poF8rVaLaZOnZrnL6vFihWDlZUVDhw4AL1ej6SkJEyYMAFEhDZt2hgdu3btWhQqVAhEBI7joFAoEB0djXXr1iE6Ohocx6FkyZLYtWuXkQRLTvHy5UtUqlTJKAPa0tISGzduzPHPEsk5hOozhGpXfqDT6TBv3jyULVsWRYoUQZUqVbB27dp8kxK4f/8+a8bo7+8PR0dHEBG6du1qNKYnT55g8+bNWLJkCXr37o1q1aqhefPm2Llzp9hJViRbxACeyL9m165dICJs3LgR3bt3ZwLgxYoVA8dx4HkejRo1glQqRVRUFAuQnTp1ClZWVrCxscH69etNMt8aNGgAIsKcOXNw6NAhaDQaKBQKBAcHw8rKChzHsdVkvV7Pyr8+Zf/+/XB1dWWTMcN4hg4damJH/fr1UaJECdEpFlCE6jOEald+oNPpsH//fvTo0QNdunTBpk2b8rRc7MOHDzAzM0NMTAwWL16MBg0aoF69epg5cyZcXV2Zdp8h206hUCA8PBz9+vWDlZUVFAoFateujcOHDxtdt1atWpBKpRgwYADS0tJYp/EOHTrg7NmzOHHiBJo3b27S3OP/Ij09HSqVCt9//73Jvp07d/7tYodI/iNUvyFUu/KDjx8/4siRIzh06FC+aL/99ttvICKsWbPGZF/dunWhUqnYnM0wj7S1tQURwd3dnc3d6tWrh9TUVPz4449G0gI5+R3R6/UoX748ChUqhO3btyMzMxMPHjxAixYtIJVKTRZWRAoOQvUZQrXrW0ev1yMwMBDe3t64desWgKxEkwULFrCmGB8/fsR3331nNGc0MzNDs2bNEBAQACJC5cqVkZqaanTtjIwMvH37FhkZGf95jOfOnUNMTAx69+6N2NjYPJdeEPkyxACeyL+mW7du8PLygpeXF2xsbDBs2DAsXLgQERERrIxj9OjRsLCwwOTJk1GlShWWbWJnZwcvLy9W6mXofJqamgp7e3uULl0aHMfh3r17ePXqFWbMmIGOHTti5MiRuHfv3j+O6+rVq5DL5ahZsybOnTuHFy9eYMmSJTA3N4dUKsW0adPw8uVLPHz4ED179gQRYe3atXlxy0S+AKH6DKHa9S1y6tQp5ss4jkPVqlURHh4OqVQKnucxatQoxMXFYcGCBdBqtZDJZNBoNFCr1ejSpQvGjRuHwMBAcByHFStWsOuWL18exYoVg0wmYyUf8+bNg4ODA5vcOTs7o0WLFihatCisrKxQsWJFxMbG/p9j7tChA+zs7IwaNrx//x6BgYEIDAwUFzQKKEL1G0K161tk5syZICKTDGi9Xo/p06eDiPDHH38gMzMTPj4+UCqVsLKywsmTJ9lxv/zyCxQKBYYPH46UlBTmK7VaLTp06JBjYzX47j179hhtN4ytVatWOfZZIjmLUH2GUO361jl37tzf6hg3bNgQpUqVQsWKFSGVStnczpCtV7ZsWbx7947pHTs6OuLx48dITk5GTEwMrKysQESwsrLCoEGDvkgCIDMzE9999x27vo+PD4gIJUuWzHMtaZHPRwzgifxrunTpAjs7O2g0Gjx48ABAVuZbeHg41Go1ZDIZvLy8YGZmBplMhpIlS4LjOCxcuJCtvl67dg3u7u5sVbV9+/aQSqW4fPkyLC0tMWrUqP9zHB8/fsTEiRPh7e0NrVYLOzs7uLm5maxQbNy40ahEwlDGO2vWrBy/NyI5h1B9hlDt+ha5cuUKiAjW1ta4du0a237v3j04OTmhQYMGmDhxIoiyOiKGhYVBpVIZCazrdDq0bdsWFhYWSExMxJkzZ1gWy9y5c8FxHPOzaWlpOH/+PM6cOYNKlSpBLpejbdu2mDRpEqpUqQIiYqW3f8eLFy/g7e0NpVKJVq1aoWPHjrCxsYGlpeXfNr4QyX+E6jeEate3iGGuderUKaNt/v7+bO7l5+fHNEA5jsO8efNMrtO/f3/Y2NggLS0NlpaWmDBhAiZPngyFQoFr165h5MiRaNWqFQYNGoSbN29+0VhnzZoFpVKZbUndwIEDTbp7ixQchOozhGrXt87atWtBRNkG10aPHs30kxUKBXbs2MEWUY8dOwYrKyu0bt0aAFC5cmWYmZmhbNmyqFatGlQqFQYNGoTNmzcjJiYGarUaVatW/Wy5gRkzZkAqlWLFihXs3PPnz8PJyQnh4eH/0XqR3EYM4In8a2JjY8HzPDp16gQAWLRoEXtBnTBhArp06QKVSgWFQoHLly+jePHiaNasmcl1tm7dCiKCUqmETCbD6tWrAQC+vr6wt7eHn58fAgMDMX78eLx9+9bo3NTUVFSqVAkKhQLt2rXD1KlTodFoMGDAAJPPycjIgEwmQ8uWLWFvbw97e3vExcXlwp0RyUmE6jOEate3SGJiItO/S09Px+bNm9G+fXu0b98eXbp0YS+tI0aMAAB4eXmhc+fOJtd5/PgxKx0zMzNDuXLlkJaWhuTkZBAR2rZtiwoVKsDHxwdNmjTBoEGDwHEcy1wxMGLECEgkEpbZDGSVtY0cORL9+vXDxo0bkZaWhvj4eEyaNAlBQUEICAhA//798ejRo1y9VyL/DaH6DaHa9S2i0+mgVqsREhKCmJgYODs7QyaTwcXFBVOnTmU6fVKplGXkXb9+3eQ6hrnhihUrQEQ4ffo0y5iTSqXQarWoWrUq7OzsmLRAeHg4fH19Ub9+/X/VZXL58uXgOC7bpj0tW7ZEYGBgjtwTkZxHqD5DqHZ96xw7dsxkYQMAEhISoFarYW9vD3NzcwwZMsTk3JkzZ0Imk+H169fo06cP3Nzc2Lzyr83KDh06BCLC9u3bP2t87u7uJhrLwP8Cj3fv3v2s64nkLWIAT+Rfk56eDrVajZiYGLx//x5qtRqdO3c2Kr26ceMGlEolxo0bB5lMhrlz55pcJz4+nq3CGrTtDhw4AKlUCisrK3Tp0gWtW7eGSqWCl5eXUdBt8eLF4DjOyCEWL14c7dq1M/mcN2/egOM4LFu2DHfv3oVEIsGiRYty8paI5AJC9RlCtetb5I8//gARYfPmzQgNDWUCxQbNEqlUCpVKxVZe7e3tMWbMGJPrpKWlseOlUil2794NAHj16hU4jgPHcahduzb69++P4sWLs07kfyUxMREqlQozZsyAXq9H3759QUSwsbGBt7c3iAienp54+PBhrt4XkZxHqH5DqHZ9q0yaNAk8z7MGY3379oWzszPMzMxw6tQpFClSBNHR0WzRwrBw+yljxoyBQqGAWq1GpUqVoNfrMWHCBHAch1atWjF9v5SUFJbdV6FCBfTt2xdlypQBEWHs2LEm183MzMTOnTvRt29f9OzZE3K5HF26dDGau168eBEymQzTp0/PvZsk8p8Qqs8Qql3fOjqdDt7e3ggODsbLly9x7tw5jB49mjXwMWjhGeZ9n3Lx4kUQES5cuICSJUuiXr16THM+O0qWLJnte/DfkZGRASLC8uXLTfY9ffr0b8clUnAQA3gin0Xz5s3h6uqK5cuXg4jw7Nkzk2Oio6Ph5+cHd3d3dOzY0WT/kSNHQERwcXGBRCLB8ePHYWlpiVKlShl9Tx48eAB7e3sj/ZNq1aqZvMCOHTsWarXaZLVg0KBBkMvlTJelfPnyiIqK+k/2i+Q+QvUZQrXrWyQlJQUWFhYICAiApaUlTp8+zfadPXsWFhYW0Gg0bFv9+vUREBBgUrZl6JYtk8ng4eEBHx8f6PV6NG7cGESEXbt2sWP1ej0KFSqUrR6UXq+Hg4MDxowZw3zzrFmzmBjx1atX4eLiArVajblz54p6d18RQvUbQrXrW6Vdu3ZwcHDAH3/8gYMHDyIiIoJJrtjZ2UEqlbIF3Zo1a8Ld3d1oQeHSpUswNzcHx3FQqVRwdnbGtWvXoNFooFQq8f79e3bs4cOHQUQmC7Jjx44FERmV1759+xYhISFsEcPZ2ZktIJcuXRpjxoxBdHQ0FAoFQkND86UJiMi/Q6g+Q6h2iWQF4szNzSGRSEBEMDc3h5mZGYgIDx8+hFKpxMSJE03OW7p0KTiOQ/fu3UFETCrl7zKEQ0NDUa9ePfTv3x+NGzfGgAEDjCRb/oper4ednR369u1rss/QaOjq1atfbLdI7iMG8EQ+i6tXr0KhUKBYsWKQSqXZdsAZNmwYChcujAkTJkAulxul+7569QqBgYFsEmVwZESEnTt3mlxr3LhxUKlU7EU0JCTEJOU3Pj4exYoVg7m5OQYNGoR58+ahVq1aICJMmTIFQJaz8vPzQ/v27XPwbojkBkL1GUK161ulZ8+ekEgkmDx5ssm+qVOnguM4nD17FgBw/PhxcByHqKgo3L9/H6mpqVi3bh2srKxQvXp19OvXj/nBkiVLQiKRoHLlyibXNejWffz40Wi7ocxs9+7dKFOmDOrXr29yrmFSRkQYPnx4ztwEkVxHqH5DqHZ9i2RkZECpVGLChAlYvHgxiAhBQUEYN24cOnXqBIVCAZVKhaZNmwIAHj16BHt7e0ilUtSsWROVKlUCx3EoWrQobt++jfPnzzNfxfM8/P39jT4vOjoaxYoVM1mISEtLg62tLYYNG8a2tWjRAjY2Njhx4gSArKyYTZs2ged5mJubw97eHr6+vpg4caIYvCvgCNVnCNWub5309HS0atUKRAQLCwvWebts2bKsFLZDhw7QarVGwbL79+8zGQJDFcanWu43btww+pybN2+yRQkHBwdERETA3t4eEokES5YsMTpWr9dj48aNqFy5MjQaDWQyGQYPHsw08OLi4lCiRAmUKVNGXOgt4IgBPJHP5sCBAywFeMuWLUb7MjMz4e3tjZCQECQlJaFYsWLMYdWvXx8qlQo2Nja4fPkygoODUahQIbYyYWiz/Snr1q0z+v707t0b9vb2JqKgu3fvZk0qiAhOTk7YsGED2294eRVTggs+QvUZQrXrW+XatWsgIhw9etRk34kTJ0BEcHNzw+nTp6HX6zFjxgzI5XKjiVjt2rXx7t07AFlZKYZuZAqFgmmNfsrt27fZS++1a9eQlpaGnTt3wsXFBUWKFEG9evUgk8kwY8YMk3OTkpJARGjcuDFkMpmoB/qVIFS/IVS7vkUSExNBRFi4cCErof305e/atWtQKBTgOA4rV66ETqfD+PHjIZFI4ODggEaNGmHFihVISUlh57i7u0OpVILjOJMMvHr16qFu3brZjiUwMJDpjcbFxUEqlWL+/Pkmx/Xp04c1XjP4YJGCjVB9hlDt+tYZOXIkZDIZVq1ahevXr6N169awsLAAz/OQy+UoWrQo7t69CwsLC3Ach8qVK6NGjRrgeZ51l3348CGOHz8OnuchlUphZmaGQoUKYcWKFfj999+xYsUKFhjs1asX0tLSAGTpxXft2hUSiQT37t1jYzIsFleuXBmjR49G3bp1wXEc7OzsULduXSiVSjg4OJgECUUKHmIAT+SLyMzMRFBQEKytrbFhwwakpKTgzp07aN68OQvIWVtbQ61Ww9LSEk2aNEGtWrUwfvx4Jh7cvn17qNVqREdHQyqVYubMmSaf07p1a6jVarY6cPfuXahUKlStWhWXLl1CSkoKtm/fDhcXF/j7++PKlSuwtrYGx3Ho1q0bVq5cie7du0Mul6N27drZdh4TKVgI1WcI1a5vlQ8fPkAul2Pq1Kkm+6ZPnw6O41imsaHbGM/zICLMnDnTZIL0008/gYjQp08ftghhyDw2cOnSJeZbPw0EFi5cGERZDYWsra3x3XffmYzJ0OV2+/btTChepOAjVL8hVLu+RfR6Pby9vZkeaHbSKm3atGH+z9XVFUWKFAERoWLFiibHZmRkwNLSEhKJBPXr14dcLkdkZCTLkBsyZAg0Gg0SEhKMzvvzzz/B8zzmzZuHhIQEhIWFZZuxAgBbtmxhvnnatGk5dCdEchOh+gyh2vUtk56eDhsbG/Tr14/JA7i5uWHUqFEYPXo0ChcuDKlUCrlcDj8/P0ilUlhaWsLJyQlz5sxh34W0tDQ4OTkhNDQUcXFxePbsmUlGnkajYd27P+Xjx4+wsrLCsGHDoNfr0aRJExCRyQLv+vXrmRbzsGHD8Pr16zy7TyJfjhjAE/li3r59i4iICCNHYm1tjcGDB4OI0LVrVya8+ekKAJAVADR01bl06RJatGgBlUqFjRs3IjMzE8nJyZg2bRq77qhRo9i5hw8fhlqtNvrcokWLwsnJif1tZmYGrVYLIkKhQoUwZswYpKam5vUtEvkChOozhGrXt0x0dDSsra1x4cIFtu3SpUuwsrKCSqVCWFgYXF1dMWnSJGzatIm9NJ47d87kWsOGDYNSqcT3338PnufBcRxatmyJP//8E3q9HufOnYO3tzd4nkdsbCxiY2OxYsUKLF26lAUFAbDzP5UuePfuHUJCQthLLxFh8eLFuX+DRP4zQvUbQrXrW2XhwoXsJdCw4PopQ4cOhbW1NU6fPo3vvvsOhQsXBsdxICJW3mrAUIZra2uL1NRUbNq0CTKZDBYWFqhSpQq0Wi0kEgnCw8OZjt7vv/+OsmXLwsbGBu/fv0fz5s1ZRcbPP/9sMp7Ro0eD53k0bNgQYWFhuXNTRHIUofoModr1LfPnn38yHePKlSvD398fiYmJbH9SUhICAgIglUphb28PnueZj/t0YSI2NtZE1xPIaqRWokQJVKpUCZaWlqhatWq246hYsSKioqLQtWtXEGU1NvvrwrBer0fJkiUhlUqzbQIkUjARA3gi/5lt27aBiDBw4EB8/PgRK1euBBFhzZo1bJUhODiYTbQ+fPiAbt26gYjg7OyMhIQEtG3blq3OmpmZsXKLPn36wNnZGXZ2dkafaRBqHzhwICZMmAAiQvPmzXHkyBEcOXIELVq0YFkmYh3/14VQfYZQ7fqWefv2LQIDA0FECA4OZmLprq6ubDFh06ZNuHDhAqpWrcqy8GrWrGm0Wvrw4UNotVqoVCqWqdKyZUtoNBpwHAcLCwsQEby8vNh1zc3NMWzYMHTu3BkeHh4su3jWrFmsFLd8+fJo0qSJkXByv379wHEc7t+/n1+3TeQzEKrfEKpd3yp6vR7t2rUDEWHr1q1G+wzSKg0bNsSjR49ga2sLb29vDBw4EHK5HAqFAj169MCiRYsQGRkJjuNga2vLNPOALN28UaNGoVWrVrC1tYVCoYBSqTTKSHZycsL58+fx8OFDcByHJUuWwN7eHu7u7vjjjz/YtS5dusQWeKtXr47Q0NC8uk0i/wGh+gyh2vUtk5SUBJlMhlGjRoEo+67bBokogx+TSCRQKBSoXLkyLly4gJSUFLRv3x5mZmbZfsbAgQOZnJWVlZWJNnJSUhIsLCwwdOhQyOVyODg4oFSpUtleq169erC3t0edOnX+u/EieYIYwBPJEWrWrAkHBwccPHgQly9fZi+ZjRs3xqJFi6BWq8FxHLy8vKBWq8HzPPr27Qtzc3N06tQJlStXRrFixXDx4kVMmzYNs2bNYgG/Zs2aged5bNiwARcuXEBaWhoyMjJY7b6FhQUaNmxoFKgzdHL08vISy2a/MoTqM4Rq17dOamoqfv75Z0RFRSEqKgpr167Fy5cvoVKpWABPrVbD398fy5cvx6hRoyCVSuHu7o6hQ4eiS5cuMDc3h6urK0JCQmBubg6e5zF06FB8+PABK1euxLRp07Bnzx48ePAARITp06dj6NChkEql8PT0RHh4OBtPREQEatasifXr16Nhw4aoXr06Ro4ciadPn8LR0RESicSkEZBIwUWofkOodn3rhIWFwdbWFps3b0ZaWhru3buHli1bguM4fP/99+jevTscHBzw9u1bAMCDBw+g0WjYAq6trS1bAMmuUUVSUhJbjDh69CjWrFmDSZMmsc8D/pe18urVKzg7O8PS0hIymQy1a9dGlSpVwHEcAgMDoVAoIJfLMXLkyDy/TyKfj1B9hlDt+tZp3bo1bGxsQEQ4cOCAyf4jR46AiPD7779jzpw5IMrqrP3pArDh3+3bt03ODwsLg0QiQevWrSGVStG+fXsmM5CQkMAWg1evXg0iQps2bSCRSIy6fwNZFRpmZmZwcHBAZGRk7twMkRxHDOCJ5AivXr1i+ifW1tbgeR6VK1eGXq9HcnIy1Go16tevj4EDB2LatGn4888/AQATJ06EUqlEkyZNIJfL2aTOQGZmplGpBRHB3t4ec+fORVpaGr7//nuWpvxXDI0txEyTrwuh+gyh2iWSPatXrwbHcShZsiSKFi1q1HinS5cu4Hkezs7O8Pb2xvDhw/H69WvExcWxF1k7OzsTLZJevXrBzMyMfYcmT54MjuNgbm7OttWqVSvbVVS9Xg9HR0cEBgaaaKWIFFyE6jeEate3zps3b1CjRg2jl08rKyv4+/vD3t4eDg4OGDBgADt+2bJl4DgOhw8fZouter0ezZo1AxFh3rx57FidToe+ffuCiBAREYGff/4ZQ4cOxfTp0/H06VN23KFDh5g8S3BwMOrWrYsZM2YgIiIC9evXx9KlS3H79m0QZXWHfP78ed7dIJEvRqg+Q6h2fevExcXBy8sLPM+jS5cuJvu7d+8OW1tbpKWlsc7bJ0+eREZGBvbv34+VK1fi5MmT0Gq1qFixIns/1ul0mD9/PogIPXv2hF6vx+rVq8HzPCwsLFC+fHmYm5tDJpNh3bp1OHToEDiOw6RJk+Dk5AR/f3+cOXMGer0e165dQ1hYGMsC3LlzZ17fJpEvRAzgieQYer0eR44cwciRI0FEWLVqFW7evIkePXqAiBATE2PSPfbUqVNMSFgikaBp06ZMJyAtLQ0xMTEgIvj6+uLYsWM4c+YMm9iVKlUK3bt3z7ZkA/hfaa8YwPu6EKrPEKpdIn9PkyZNwHEcpk2bhp07d6JGjRqwt7eHpaUlvL29TUoeAKBMmTLw9fWFUqmEs7Mzpk+fjjVr1qBu3bogIiONklevXoEoq2ttREQEHj58iFmzZkEmk+HBgwdG1927dy+ICIcOHcp1u0VyDqH6DaHaJZLFlStXsGzZMmzZsgXJycl49eoVypUrB57nMXjwYBw/fhw9evRAoUKF4Ovra/I9ePfuHWuIFhAQgA4dOrDGFz4+PmxR19XVFSqVChKJBNOmTUNsbCyGDBkCKysr1K1bFz/++COkUqmR30tPT0ezZs0gk8lw8eLFvL41Il+IUH2GUO0SAd6/f8+04EeNGoXnz5/jxYsXGDNmDHv3PXDgADIyMlC4cGE0a9bMKOs4JSUFRYoUgVQqhUKhQNWqVZl+PMdx8Pb2Zh26Hz16hNGjRyM6Ohpjx47FH3/8gRcvXuDAgQOQy+Xw8PBgWsoGvVKDrItBhkqsWPt6EAN4IjlOcnIyWyE1iGYaJlyFCxc2EuOcN28eOI7D8OHDYWdnB47joFarUalSJaNOi4sXL4Zer8fQoUPBcRyUSiVCQkJgaWkJnudRrVo1I+FknU6HatWqQSqVspdg0TF9HQjVZwjVLpG/5/379+A4Dg0aNGCadOPGjUNUVBTLUv60uU56ejocHBwwaNAgxMbGMi1Qw2SL4zhwHAcPDw8ULlwYxYoVYy+5huMUCgUkEgkcHR2xcOFCnD59GpMmTYJGo0FAQICJgLFIwUaofkOodon8PXq9HrVq1WJNyIoUKYLg4GBIpVI4OTnh999/Nzre2toa7u7u4DgOdnZ2sLe3h5+fH4YNG4Yff/wRRIQFCxYgIiKC+T+DPzT4TDc3N3h4eIDjOISHh6Nbt25wdXUFz/PYvHlzPt0JkS9BqD5DqHaJZKHX69GyZUsj3ySXy9G/f3+Eh4fD0tIS169fR/PmzUFECAwMxNq1a7FkyRIEBASwAFutWrVQtmxZlvDi7OwMiUQCjUaDPXv2AABOnz6NqKgo+Pj4MO3kT/2hl5cXZsyYgf79+zNNZYVCgTp16uDx48f5fKdEPgcxgCeSKwQEBICIMGnSJFaude/ePRQvXhw+Pj7Q6XS4c+cOHBwcWLMKIsKECRMQEREBNzc3lCpVCkuXLoWdnR3s7OzYNQ16KYbVh8DAQHAch8qVK2PdunVYv349KlWqBIlEgqFDh6Jjx47gOA49e/bM57si8m8Qqs8Qql0i/0yVKlUgkUgwaNAgo5XVkydPQiKRYOHChWyboSHP9u3bYW1tjZCQEFy5cgWJiYm4ceMGW+Ro0KABRo4cibJly7IStenTp+Onn35CcHAwOI5DmTJl2ITx04lj4cKFcfz48fy4FSJfgFD9hlDtEvlnxowZA47jsHLlSuYPHz9+jBIlSqBEiRLQ6XS4efMmK5UtU6YM06pr0qQJ2rRpAwsLC9jY2MDBwQEymQx+fn748ccfsXDhQoSGhkIikWD48OFwdnYGz/PQarWwsrKCjY0N08+ztrbG0KFDjTpDihRshOozhGqXyP9o0KABAgICsHHjRmzcuBGvXr0CkJU1Z5ibqVQqmJubG83ZihQpAhcXF8jlcmi1WshkMtStWxfPnj0DADx//hy1a9eGTCZj1Wmenp7o0qULgoOD2bX9/PxgY2PDFoINmXc2NjaoXbs2NBoNzMzMcPTo0Xy8SyKfgxjAE8kVgoODERYWZrL99OnTICJ4e3tDIpGwlQWDM8lOm6lPnz7geR729vY4ePAg9Ho97ty5wzrNGlYznJyc2N8lS5ZkKxIAMHPmTLGc9itBqD5DqHaJ/DP9+vUDz/OszOFTIiIiYG5uDnd3dygUCvA8D57n4e7uDplMhri4OHbsxo0bQUTYsWMH22YoBSMidOnSBRcvXkRmZibq1KkDnuehVCpha2uLrVu3IiMjA5cvX0blypWh0WjE1davBKH6DaHaJfLPBAQEoEmTJibbDYLuhQsXZqVdn87vPi2BffPmDUqWLAm5XI7ixYszaZbr169j8uTJ8PHxgYuLC86dO2d0HZ7nUaFCBSxevBh9+vSBWq1GuXLlkJKSkmf2i3w5QvUZQrVL5H8EBASge/fuJtsXLFgAIsK0adPw8eNH6HQ67N69G1ZWVtBqtZDL5UyfzhDYq1WrllHF2fv371m1Ru/evY2qzZYuXQoiglqtRosWLaBSqeDk5MQWOooVK4a4uDi8f/8e1apVg52dnegPvxL+rd+QkIjIZxAXF0dVq1Y12V6uXDmSSqV079490uv1pNVqac2aNTR+/HgCQKmpqSbnPH36lDIzM2nhwoVUrlw56tChAxUvXpw2bdpEREQqlYrS09PJxcWFSpQoQc2aNaPr169T7dq12TW6detGSqWSdu7cmXtGi4iIiPwFa2trsrCwIAsLC5N9rq6ulJqaSikpKTRgwAAaNmwYOTs705MnT8jb25sKFSrEjv3555+pfPnyVL9+fSIievbsGQUEBFBsbCwVKVKEtm7dSkFBQdSlSxeKiYmhzMxMcnd3pzdv3lBycjLxPE+lS5emnTt3Es/ztHDhwjy7ByIiIiJERI8ePaJy5cqZbDdse/78OVWrVo1u3rxJOp2ODh06RE5OTtSjRw/KyMggIiIbGxsaMmQIpaenU9++fYnneWrdujX5+/vThAkT6NmzZ/T06VP6/vvvydnZmaRSKXXv3p0iIiLo7NmzVLJkSZo9ezYdOXKEzp07R+vWrcvTeyAiIvJt4eHhQWfPniUARttnzJhBzZs3p5iYGFKpVCSRSKhOnTo0depU+vDhA6Wnp1ObNm3o1q1b9OTJE/r+++/p4MGDNHToUHYNrVZLTk5OpFQqadKkSSSRSOjBgwc0ZMgQ2rVrF9na2pKzszNt3bqV6tSpQxzH0XfffUdubm50+/Zt8vDwoHHjxtHUqVPp9evX4nuywBADeCKfhbOzM127ds1k+++//046nY5mz55Nhw8fplKlSlGHDh0oICCAiIjmzJljdPyff/5Ju3fvJiKi2rVrU1RUFG3evJmmTZtGd+7cob1795Kfnx9JpVL69ddf6datW/Tu3TsTJymTyYjneTYBFBEREckLQkJCKD4+nk6fPm20PS0tjbZv305qtZru3LlDkyZNonHjxtHvv/9OpUqVoocPH5JOp2PHv3//nlxdXdnfbdq0oaSkJLp06RI9fPiQ4uLiaPHixbRixQrat28fERH98ccfVL16dRo0aBDzfebm5lSzZk369ddf88B6ERERkf/h5uZG58+fN9lu8Efm5ua0bds28vPzI4lEQtWrV6dffvmF7t69a/Ri6eHhwY4fPXo0xcbG0rJly+jdu3f07t07WrFiBR0+fJhevXpFCoWCli1bRjqdjry8vGjGjBlERBQaGkrVqlWjzZs354HlIiIi3yrdunWjq1ev0oQJE9hcLC4ujh48eEAREREmx9eqVYuIiIKCgmjx4sVUrFgxcnFxoZEjR9LQoUNp/vz5lJCQQEREmZmZ9OrVK3JyciKNRkMbN26kYsWK0dKlSyk1NZVkMhndu3ePMjIy6M2bN/T8+XPq1asXhYaG0tKlS6lHjx60ZMkS6tq1K5mZmdGTJ0/y7saI5D65neInIiwWL14MjuOwadMmtu3Dhw+oWrUqChUqxEpl09PT4efnh8aNG2PIkCEgIkRFRWHDhg2YMmUKHBwcWDnF5s2bQURYv3690WclJCTAxsYGRMRSjcuUKYOXL1+yY9atWwciwuXLl/PmBoh8MUL1GUK1S+Sf0el0CAgIgIuLC/bs2YPMzEzcunULderUgUQiMeoqayA2NhZEhOHDh7NtAwYMgLW1NZKTk3Hz5k3mE/9Kq1atYGtrC57nYW1tDQcHBxARjh07xo4JCwtDw4YNc8VekZxFqH5DqHaJ/DNz586FRCLBhg0bmAbes2fPUKJECSiVSkRFRWV7nouLC4YMGcL+/vHHH8HzPMLDw6HVajF48GCTc4YMGQKpVApvb280adIERISWLVvC0dGRHdO8eXNUrlw5Z40UyRWE6jOEapeIMaNHjwYRoVChQihfvjzkcjl4njfyawYOHjwIIsp2fvjbb7+BiHD8+HHo9XrW0ZbjOJw/fx5yuRxRUVH4+PEjACAjIwMjR440anY2a9Yso2teuXKFvWtv27YtV+wXyVlEDTyRXCEzM5Np1JUuXRqNGjWCmZlZtiKZEyZMgIWFBfR6PVq1asV08Qxda3fv3g17e3sULVoUKpUKGRkZJp/Xo0cPFC5cGDqdDvv27YOtrS1KlCiB69evY8qUKVCr1WjQoEEeWS/yXxCqzxCqXSL/N0+fPkVoaKhJRzAiws6dO02OP3XqFDuubNmyiImJQVBQECQSCWrWrIl58+aBiJgQ8qcYNFUqVqwIPz8/NmHbv38/AGDv3r3ZLoSIFEyE6jeEapfIP5OZmYmWLVuCiFCsWDFUqVIFMpkMPM+jcOHC2QbTkpOToVarMWHCBOh0OuzYsQNarZYtThARjhw5YnLesWPHQEQoVaoU7O3tWfMKLy8vAMDbt2+h0WgwatSo3DZbJAcQqs8Qql0iply9ehUDBgzAd999h2nTpqFz587QarW4ceMGO+bDhw8ICgoCz/OYOXOmyTWOHj0KIkK9evXg6+vLdEItLCxQuHBhqFQqvHv3zugcnU4HV1dXWFlZwczMDKmpqSbXrVOnDlQqFdLT03PcbpGcR9TAE8kVpFIprV+/nrZv304+Pj706NEjSk5OpgMHDlCVKlWMjk1OTiaO4ygpKYmuX79OGo2GqlevTgkJCfT06VOKiIgglUpFd+/epYyMjGx18hITE8nGxoYkEgnVqlWLFi9eTDdu3CB/f38aPXo0tW7dmtavX59H1ouIiIj8j8KFC9PZs2fp7NmztHjxYho9ejTpdDoqVKgQbdmyxeT4LVu2kJWVFS1dupRevHhBc+bMoStXrpC7uzudPXuWevXqRUSUrUzBtWvXyNLSko4dO0bXr1+nRo0akVQqpaNHj1JkZCTVr1+f6tSpQ82aNct1u0VEREQ+xTA3PHDgAJUvX57s7Oxo6tSp1LJlS0pOTqbjx4/TgQMHjM6ZMmUKffz4kSZOnEg2NjbUoEEDKlOmDJUtW5Z4nicionv37pl81r1794jjOFq7di01aNCAFAoFxcfH06tXr6h3795Uo0YNksvl1K1btzyxXURE5NsmICCAfvjhB1q9ejXFxMTQlClTyNXVlUqXLk1NmzalDh06kIeHB926dYsyMzNp7ty59P79e3Z+ZmYmTZkyheRyOe3bt4+Vu44YMYJcXFzo+fPn5OrqSpaWlkafK5FIKCQkhKysrEij0ZBcLjcZm7W1NXl5eZFMJsvNWyCS1+R2hFBE2CxbtgwSiQS9e/c22v7mzRvY29tDq9XC3d0dFhYWaNy4MTiOw5o1a6DX67Fv3z4QEWbOnAmO4zBp0iSjazx8+BBqtRrff/8925aamspK0N68eZMnNorkDEL1GUK1S+TzSU5OhqWlJcqVKwciwogRIxAXF4fXr19j4sSJkEgk6NevH4oUKQKe5+Hp6Qk7OzsAQK1ateDl5QVnZ2cEBAQYZeEdO3YMSqUSo0ePZtuuX78OIoK5uTlKlCiBmTNnZtvtW6RgIlS/IVS7RL6Me/fuwdLSEubm5pBKpWjevDnGjh2L8uXLg4gQGBiIoKAgaLVaEBGcnJxARFi2bBmqV68OFxcXo67dcXFx8PDwQM2aNeHj4wNbW1uMGTMGa9asQWRkJIgINjY2uHTpUj5aLfI5CNVnCNUukX9HQkICZs6cifLlyyMwMBD9+/fHw4cPMXbsWPA8DycnJ4wbNw4//PAD/P39wXEcOI5DnTp10L17dzg5ObHKtejoaMjlcrx+/droMzIyMuDi4oK6deuCiIy6egPAu3fvYGlpma0UgUjBRCyhFckTJk2aBLVaDSJCgwYNsGbNGsyYMQPu7u4wMzNjNftXr16FjY0N3N3dQUTw9fWFl5cXzM3NodfrERMTAyJCZGQk1q5di3HjxsHW1haenp5Ggbrff/8dRITt27fno9UiX4JQfYZQ7RL5MgxlsD4+PpDJZKwUjOM4tG3bFhUrVoSjoyN+++03rFq1ChzH4eHDh/Dy8kJMTAyuXr0KW1tbqFQq1K9fH2XLlgURoUqVKkz7BADi4+PFktmvGKH6DaHaJfLl3LhxA+Hh4SAi8DwPhUIBlUrFZAAM/xwcHBAWFgYiwsePHxETEwOe52Fubo7vvvsObdu2hVqthqOjIwYMGAClUol79+4ZfdbUqVOZTxX5OhCqzxCqXSL/nUuXLqFChQpQKpWQy+UoVqwYpFIpTp48yY5JS0tDUFAQiAh3795lklHx8fEAgI8fP6JPnz4gIly4cAFly5aFra0tli9fjqdPn+LAgQMICgqCpaUl/vjjj/wyVeQzEUtoRfIENzc3+vjxI82YMYMePHhA3333HQ0dOpRCQkLIy8uLqlWrRq1ataLZXEbXnAAAIjlJREFUs2fT27dvad26dXTgwAEKDQ0ljUZDHz9+pDdv3tDUqVNp/vz5dOHCBWrTpg19//33FB8fT/PnzycbGxsiIsrIyKAhQ4aQVqtlnXxEREREChI9e/aktWvXGnXHLlWqFC1YsIBu3LhBJ0+epLi4OCpfvjxdu3aNrKysqHPnzuTg4EBXr16lgIAAunnzJg0fPpzS0tLozp075OXlRfv37yeVSsU+Z+vWrUREFBwcnC92ioiIiPwbihcvTvv376d3797Rw4cPycfHh3Q6HRUrVowOHTpEiYmJdOTIEbK2tmbyAe/fv6d79+5R+fLlqV+/fnTz5k06ceIEpaSk0J49e+jEiRPUuHFj8vLyMvqsnj17klwup+3bt+eHqSIiIiL/J4GBgXTy5ElKSUmhtLQ04nmeWrRoQRUqVGDHyOVyGjJkCBFlyQYsXbqU9u/fT46OjhQSEkIODg40d+5cmjdvHgUFBdGuXbuofPny1KFDB3JxcaHw8HBKTU2lgwcPkqura36ZKpJb5HaEUETYfPz4Eba2tqhevTrevn2LhIQEpKSk4Mcff2RdeYgIWq0WHMfBzMyMdVh88+YNlEolOnXqBJ1OBwDQ6/XYtWsXE4OXSqVo1qwZ+vbtC3d3d3AchylTpuSnySJfiFB9hlDtEvlv6PV6vHnzBomJibh79y4sLCwQEBCATZs24dy5cxg2bBhkMhnq1KkDc3Nzlq1nkBgAgMTERAQGBoKI0LlzZzx9+hSpqalYs2YNzMzM4Ofnl89WinwpQvUbQrVLJGc4cOAAm989fvzYaN/Tp08hkUggl8vRp08ftGnTBv7+/mz/+/fvYW5ujvr166N48eLo0qWLyfUzMzNhbm4uzhO/IoTqM4Rql0jOkpKSApVKhTFjxpjse/78OTiOY83RlEol3N3d0bZtW1hYWMDX1xd3794FACQlJWHgwIEgImg0Gly8eJHNJUW+HsQSWpE84+jRozA3N4dKpUK1atXg5ubGtJmKFy+OixcvAgD+/PNPNGvWDDzP47fffgMALFq0iJXUDhw4EA0bNoREIoFEIsGsWbMwYMAAlCpVCt7e3rC1tYWbm5vokL5ShOozhGqXSM7RpUsXODo6IiEhwWj7nDlzwHEczp8/j4oVK7KSspIlS6JRo0awtLSESqVCQEAAm8AZ/kkkEmzZsiWfLBL5rwjVbwjVLpGcYdKkSZDL5ShXrly2+8uWLcukVooXLw4iwi+//ML27969G3K5HDzPw9ra2uR7FhsbCyLCr7/+mqt2iOQcQvUZQrVLJGeZP38+pFIpQkJCjN5vP3z4AFdXV1haWmL8+PHYvHkzNBoN04W/du0a0wz19vaGSqWCRCJBoUKF0LBhw3yyRuS/IpbQiuQZVapUobt379KIESPI1taW6tSpQ+PHj6fExETauHEjlSlThoiInJ2dae3atWRra0vTp0+nmzdv0vHjx4mI6NatW/Tjjz/S9u3bSa/Xk62tLQ0YMIBu3rxJfn5+9Pr1a8rIyKCNGzcSx3H5aa6IiIjIZ3HgwAFq1aoVmZubG22vX78+AaDWrVvTmTNnyMbGhpydncnJyYnu379P5cuXpzFjxtCNGzfI3t6e/P39qXLlymRra0sBAQHUqFGj/DFIRERE5AuwsLCgzMxMevXqFQEw2jd37ly6ePEiPX78mIiIbt68SRzHUbNmzahVq1b0ww8/0JIlSyg9PZ2cnJzow4cPVLVqVdq7dy/dv3+f5syZQ+3bt6eIiAgKCQnJB+tEREREPo/169dTmTJl6Pz58zRgwAB69+4dAaBhw4ZRXFwc/frrrzRy5Ehq1qwZeXl50W+//UZERP7+/nT//n1atWoVlStXjlJSUqhMmTL06tUrGjhwYD5bJZLr5HaEUOTbZNiwYXB1dWV/x8fHo2/fvrC0tGRCxkQEKysrVKtWjaUGW1tbs/IKFxcXVK5cGeXLl8eQIUNEEc6vHKH6DKHaJZJzeHh4mHTqNmQuG7JR7O3tQUSQy+VG4u4cx0EikaB+/fqoXr06OI6DVqvFrVu38skakZxAqH5DqHaJ5AwvXrxg2cRr165l2zdt2gQiQvfu3fH48WO8e/cOc+fOhVwuR+nSpaFUKiGVSqHVauHs7Mx8o6GJmmHe2KZNG5NMZ5GCjVB9hlDtEslZ/P390a1bN8yaNQs8z0Mmk8Ha2hpSqRSNGjUyOnb27NmQSqXYu3cv25aUlITq1atDKpXC3NwcP//8c16bIJKDiBl4IvmKjY0NvX79mhISEigpKYmqVq1KK1eupC5dutDy5cupWbNmRJQl7n7kyBGaPHkyxcfH05s3b+jw4cNkbW1Nr1+/JgcHBzp9+jRNmTJFFOEUERH5Kqlfvz6tX7+eXr9+TUREycnJ1LRpUwoODqbnz5/TmTNn6NmzZxQREUHp6emsic+HDx9o2rRpxHEclSpVig4dOkSXLl0iIqJ58+blp0kiIiIin42DgwNNnz6dOI6jtm3bUvPmzWnWrFnUvXt3qlGjBs2fP5/c3NzI0tKSevXqRePHj6cbN27QjRs3aNasWVSqVCnSaDQUHh5Oa9asofj4eLp69SodPnyYnj59SmvWrDHJdBYREREpqAQHB9OuXbuoR48e9PTpU5o1axYNGDCAXFxcSK1WGx3brVs3qlWrFtWuXZsqVKhAUVFRVLhwYTpx4gQNGjSIXrx4QVFRUflkiUhewgF/yWH/lyQkJJBWq6UPHz6QhYVFTo9L5Cvn2bNn5ObmRj179qQiRYpQTEwMbdy4kXbu3ElnzpwhMzMzcnJyov3791Pt2rVpx44dRuf//PPP1KZNG5JIJPT8+XNycHDIJ0tEcgqh+gyh2iWSczx9+pSCgoJIo9HQwIED6f79+/Tjjz/SmTNn6P3792RtbU2lSpUid3d3qlu3Li1ZssTo/IEDB9Ly5cvp+fPnpFKpaMSIETR37lyKj48nnufzySqR/4JQ/YZQ7RLJWXbt2kUxMTH0+PFjysjIIJ1OR4sXL6bOnTsbHffw4UPy9PSkffv2Ua1atfJptCK5iVB9hlDtEslZfvvtNwoKCqLw8HCaNm0aeXt70759+ygqKor0ej09evSI7Ozs2PFbt26lJk2aUPny5UkqlVJwcDD16NGDPD0989EKkZzi3/oNceYvkis4OzvTrFmzqE+fPmRubk5BQUEUFRVFDg4O1KhRI3r9+jX98ssvpNPpKCIiwuT88PBwIiLS6/X0+PFjMYAnIiLy1eLi4kKnTp2iQYMGUe/evUmv15NSqaSwsDDS6/VERFSkSBGKi4ujJk2amJzfpEkTmjlzJt27d4/8/f3J39+fEhMTKSkpiSwtLfPYGhEREZH/Rr169ahevXpElDXPMzMzoxcvXhgdEx8fT1OnTiWpVEr9+/enxo0bU69evcjR0TE/hiwiIiKS45QsWZK2bNlCHTp0ID8/P7Y9KCiIHj16RFWrVqWxY8eSr68vHThwgMaOHUvVq1engwcPiprw3zBiCa1IrtG7d286duwYyeVyunHjBmt2MXv2bFq3bh1dunSJeJ6n27dvm5z76TZnZ+e8HLaIiIhIjuPt7U3bt2+n+Ph4Kl68OEkkEpozZw49evSIjhw5whYp/vzzT5NzDdu0Wi0RER07dowcHR3FVX0REZGvHolEQo0bN6bZs2fTjh07KDMzk549e0bBwcG0atUqatq0KQUFBdG8efOoVKlSdOvWrfwesoiIiEiOUa9ePXr69Clt27aNli5dSufPn6fz58/T8ePHSavVUvPmzalEiRI0ePBgatSoEW3dulUM3n3jiCW0IrlOixYtaPPmzXTx4kXWkdZAUFAQ3bx5k/5fe/ceXPOd/3H8dXJOkiNyj2skYdMlLlGXdatoTZS6pRrXtRshWNltV6uYrjZlrbbUTNzWWtRuWZeyipZalzWJSmjVJShqixAZ1iWIJEqSk5Oc3x8dmZ+xM7/++nPO9/s7no9/zHw/jnl9/nmP8zrf7/dz4MCB2rW7d++qX79+ysvLqz1hDP//eevM8NZ9wT1OnDihDh06aMOGDRo5cmTt9fv376tevXqKjIzUkSNHFBYWJkn67rvv1KNHDwUEBGj//v1av369xo0bp5kzZ2r69OlGbQP/R946N7x1X3CP6upqvf3221q8eLHKy8slfX9SbWhoqCoqKnTo0CE1a9ZMknTz5k0999xzatiwofbt22dcaDxW3jozvHVf8Lzz58+rqKhIzZs3V4MGDYyOAzf6oXODO/Dgdj179pQkxcbGPrI2bNgwOZ1OdenSRQMHDlRaWppiYmJ06NAhRUREaMWKFZ6OCwBuk5OTI39//9qDfB4ICAjQkCFDVFhYqNatW2vq1KmaNm2aWrRoodOnT6ugoEBNmjTR6NGjNWzYML355psG7QAAHo+MjAxlZmZq6tSp+vbbb3Xo0CH17NlTly9f1htvvFFb3klS/fr1NWPGDOXk5KiwsNC40ADgJhcuXNCkSZPUvn17devWTZmZmWrYsKESEhIo71CLd+DB7Xr37i1J2rFjh0aNGvXQWnZ2tjp27KiUlBR98MEHOnz4sCIiIvT6669rypQpnCYGwKvY7XY5nU7du3ev9pHYB2w2m5566in16tVLH3/8sWpqatS/f3917dpV586dk5+fn5KTk9WlSxeD0gPA43Hnzh0tXrxY06dP16xZs2qvL126VNu3b1dcXNwjn3lw7ebNm2ratKnHsgKAu3311Vd64YUXZLfb9dJLL6m0tFRvv/22Fi5cqBdeeEFRUVEaNWqUWrZsaXRUGIwCD24XFxengQMH6vXXX1dwcLCSkpJUWlqq999/X1lZWdq0aZOGDRum1157zeioAOBWL774oiZOnKgFCxY89KX1woUL2rRpk373u99p5syZWrp0qYEpAcC9jhw5ooqKCqWmpj50vVGjRgoJCdGePXv04osvPrT2z3/+U3a7nRMXAXgVl8ul8ePHq02bNtqzZ4+CgoJ09OhRZWdn68aNGzp27Ji2b9+u2bNn69133+UVKk84Cjx4xJo1azR06FC99NJLCggIUGVlpXx8fDR37txHHiUDAG8VGRmpjIwMvfPOOzp16pSSkpJUUFCgZcuWqUmTJnr11VeNjggAbufn5yfp+3f+/Hc2m01dunTR0qVL1bZtW6WlpclqtWrLli2aPXu2xowZU/uOUADwBnl5eTpz5oyysrIUFBQkh8Oh5ORkNW/eXJs2bVJ0dLQqKys1Z84czZgxQ507d1bfvn2Njg2DcIgFPMblcunQoUP68ssvVbduXSUnJ9eevAjv560zw1v3BfdxuVxatWqVFixYoG+++UaBgYFKSUnRrFmzmIlPCG+dG966Lzx+DodDMTExSkxM1Pr162tPVSwtLVX79u1lsVhUUFCgoKAgWa1WlZSUKCkpSRs3blRAQIDB6fG4eOvM8NZ9wT127dqlAQMGqLCwUDExMdq8ebOGDx+ub775Rq1bt679ey6XS506dVJUVJS2bdtmYGK4ww+dG9yBB4+xWCzq1q2bunXrZnQUADCMxWLRuHHjNG7cOFVVVclms9V+eQWAJ4Gfn5/mzZun1NRUXbt2TSkpKSopKdHy5ctVUlKigwcPqrq6Wtu3b1d1dbX69OnD+z8BeKX4+HhZLBbt3r1b6enpOn/+vMLDwx8q76Tv///47LPPas+ePQYlhRlQ4AEAYBBfX1+jIwCAIUaNGqWwsDC99957Sk9Pl81m0+DBg/XOO+/Uvqi9TZs2BqcEAPeKjo7WsGHDNG3aNDVu3FiRkZEqLi7WpUuXHjqNW5KOHz+uqKgoY4LCFCjwAAAAAHjcwIEDNXDgQDkcDlmtVlmtVqMjAYDH/eUvf9GQIUM0aNAgBQcHy2q16uWXX9amTZsUGBgol8ullStXKjc3Vxs3bjQ6LgxEgQcAAADAMA8OtQCAJ1FISIiysrJ08OBB5eTk6NKlS1qzZo2ioqLUs2dP5efn68yZM5owYYKGDx9udFwYiAIPAAAAAADAIBaLRd27d1f37t0lSW+99ZZWrFihr7/+Wj/72c+0aNEi9e7dm/cmP+Eo8AAAAAAAAEyiWbNmmjNnjtExYDIUeAAAmIDL5VJJSYnsdrvq1KljdBwAAAAY4N69e1q7dq127dolSRowYIBGjRqlunXrGpwMRvMxOgBQUVGhjz/+WPPmzdOnn36qqqoqoyMBgEetXr1arVq1Unh4uIKCgjR48GCdPXvW6FgA4FH5+fn69a9/rZiYGMXExOg3v/mNLly4YHQsAPCY69evq3Pnzvrtb3+r7777Tnfv3tUrr7yizp0768aNG0bHg8Eo8GCojz76SBEREfr5z3+u6dOna8iQIYqNjdXRo0eNjgYAHjFv3jylpaWpTZs22rBhg+bPn69jx46pXbt2WrdundHxAMAjTp48qU6dOmnbtm0aMWKEhg8frk8++URPP/20tm/fbnQ8APCISZMmqbi4WKdPn1Z2drb27t2rU6dO6datWxo/frzR8WAwCjwYZvbs2UpNTZWPj486dOggl8ulgIAABQYGql+/fiopKTE6IgC4VWlpqf7whz/otdde05YtWzRy5EhNmjRJx48fV2hoqFJTU7V161ajYwKA26Wlpalx48Y6e/as5s2bp/nz5+vcuXOKjo5WcnKyFi1aZHREAHCrO3fuaMuWLcrIyFCrVq1qr7du3VpvvfWWdu7cqYyMDAMTwmgUeDDE0aNHNX36dE2cOFE3btzQsWPHdOXKFSUkJKiwsFAlJSVau3at0TEBwK327t2re/fuacqUKQ9dDw8P1/jx42W32zV58mRVV1cblBAA3K+goEDHjx9XRkaGQkJCaq+HhobqzTffVE1NjSZPnqyDBw8amBIA3Gv//v2qrq5Whw4dHlnr2LGjXC6X3n//fe5KfoJR4MEQS5YsUVRUlBYuXKiAgABJUv369bV69Wo5HA41aNBAJ06cMDYkALhZRUWFJNXOwf+uTp06stlsunTpko4dO+bpaADgMR988IEkKSoq6pG16Ojo2j+XL1/u0VwA4EnTpk2Tj4+P9u/f/8habm6ubDabunTpoj/96U8GpIMZcAotPK6goEAbN27U4MGDZbVaH1pr3LixmjZtqsLCQoWHhxuUEAA8Y+3atbJYLFq5cqWmTZtWe93hcGj16tVq1KiR8vPzVV5ebmBKAHCfe/fuaeHChbLZbNq6dasSExMfWv/000/l6+ur5557Tvn5+QalBAD3Ki4u1rfffiuLxaK5c+cqNjZW58+f15kzZ1RRUaHdu3fLx8dHffr00Zo1a4yOC4NQ4MGjXC6XkpOT5XA4dOTIEblcLlksltr14uJiXblyRTU1NUpJSTEwKQC4V3Z2tnbv3i2r1aqMjAyVlZUpISFBV65c0bp163ThwgXZbDYFBgb+x0cpAMAbfPjhh3I4HJK+f0IjODhYwcHBun37tq5evap169bJarX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"text/plain": [ "
" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from evomap.printer import draw_map_sequence\n", "draw_map_sequence(Ys[:4], n_cols = 4, time_labels = years)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Map aesthetics can be adjusted analogously to drawing a static map. To do so, simply provide arguments of ```draw_map()``` as keyword arguments to ```draw_map_sequence()```:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:48.039619Z", "start_time": "2022-04-14T14:40:47.605493Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_map_sequence(Ys[:4], time_labels = years, \n", " c = sic_codes, labels = names, highlight_labels = ['APPLE INC', 'INTUIT INC'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Draw a Dynamic Map\n", "\n", "The third option - and often the most interesting one - is to explore all periods jointly via a *dynamic map* (i.e., an overlay of multiple subsequent maps). To do so, use ```draw_dynamic_map()``` as follows:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:48.449491Z", "start_time": "2022-04-14T14:40:48.041582Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from evomap.printer import draw_dynamic_map\n", "draw_dynamic_map(Ys)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```draw_dynamic_map()``` also provides some options to reveal the individual trajectories of each firm. \n", "\n", "Thereby, all arguments for ```draw_map()``` can also be passed to ```draw_dynamic_map()``` as keyword arguments to control the resultant map's aesthetics. Naturally, the arguments of both functions can also be combined arbitrarily (for instance, highlighting labels for same objects, while highlighting the trajectories of others): " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:49.388891Z", "start_time": "2022-04-14T14:40:49.217156Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_dynamic_map(Ys, show_arrows = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Besides drawing the full map, you can also focus on individual firms and their trajectories. To do so, the dedicated function \n", "\n", "```draw_trajectories()``` \n", "\n", "is available. \n", "\n", "Besides map coordinates and labels (e.g., firm names), this function expects you to provide a list (or array) of focus firms, for which the trajectories should be displayed:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:49.891076Z", "start_time": "2022-04-14T14:40:49.390858Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from evomap.printer import draw_trajectories\n", "focus_firms = [\n", " 'INTUIT INC',\n", " 'WESTERN DIGITAL CORP', \n", " 'APPLE INC'] \n", "draw_trajectories(Ys, labels = names, selected_labels = focus_firms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To ease interpretation, you can add annotations for all periods:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:50.365709Z", "start_time": "2022-04-14T14:40:49.892614Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_trajectories(Ys, labels = names, selected_labels = focus_firms, period_labels = years)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Evaluating Model Output\n", "\n", "How \"good\" are these maps (e.g., how well do they fit the input data? How well do they reveal underyling changes?)? \n", "\n", "To answer this question, the following metrics are available. All functions are located within the 'metrics' module. For more background on these metrics, see [[1]](#ref_1).\n", "\n", "\n", "| Metric | Description | Function | Computed for | \n", "| --- | --- | --- | --- |\n", "| Hitrate | Nearest neighbor recovery (in %) | ```hitrate_score()``` | Single Map| \n", "| Adjusted Hitrate | Hitrate, adjusted for random agreement | ```adjusted_hitrate_score()``` | Single Map |\n", "| Avg. Hitrate | Avgerage Hitrate | ```avg_adjusted_hitrate_score()``` | Sequence of Maps |\n", "| Avg. Adjusted Hitrate | Adjusted Hitrate, averaged across subsequent maps | ```avg_adjusted_hitrate_score()``` | Sequence of Maps |\n", "| Misalignment | Average Distance of subsequent map positions | ```misalign_score()``` | Sequence of Maps |\n", "| Alignment | Cosine similarity of subsequent map positions | ```align_score()``` | Sequence of Maps |\n", "| Persistence | Autocorrelation coeff. of first differences
of objects' subsequent map positions | ```persistence_score()``` | Sequence of Maps |\n", "\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:50.381703Z", "start_time": "2022-04-14T14:40:50.367709Z" } }, "outputs": [], "source": [ "from evomap.metrics import avg_hitrate_score, misalign_score, persistence_score" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:40:51.477736Z", "start_time": "2022-04-14T14:40:50.383667Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Avg HitrateMisalignmentPersistence
EvoMap0.6454030.0153120.522881
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" ], "text/plain": [ " Avg Hitrate Misalignment Persistence\n", "EvoMap 0.645403 0.015312 0.522881" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_eval = pd.DataFrame({\n", " 'Avg Hitrate': avg_hitrate_score(Ys,Ds, input_format = 'dissimilarity'),\n", " 'Misalignment': misalign_score(Ys),\n", " 'Persistence': persistence_score(Ys)\n", "}, index = ['EvoMap'])\n", "\n", "df_eval" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To benchmark these values, we apply t-SNE independently to each distance matrix.\n", "\n", "`evomap.mapping` also includes the respective static variant for each method:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:42:57.718244Z", "start_time": "2022-04-14T14:40:51.479734Z" } }, "outputs": [], "source": [ "from evomap.mapping import TSNE\n", "tsne_model = TSNE(init = Y_init)\n", "\n", "Ys_indep = []\n", "for t in range(n_periods):\n", " tsne_results = tsne_model.fit_transform(Ds[t])\n", " Ys_indep.append(tsne_results)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:42:58.896583Z", "start_time": "2022-04-14T14:42:57.720239Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Avg HitrateMisalignmentPersistence
EvoMap0.6454030.0153120.522881
Indep. TSNE0.6595970.308787-0.440304
\n", "
" ], "text/plain": [ " Avg Hitrate Misalignment Persistence\n", "EvoMap 0.645403 0.015312 0.522881\n", "Indep. TSNE 0.659597 0.308787 -0.440304" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_eval = pd.concat((df_eval, pd.DataFrame({\n", " 'Avg Hitrate': avg_hitrate_score(Ys_indep, Ds, input_format = 'dissimilarity'),\n", " 'Misalignment': misalign_score(Ys_indep),\n", " 'Persistence': persistence_score(Ys_indep)\n", "}, index = ['Indep. TSNE'])), axis = 0)\n", "df_eval" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:42:59.085456Z", "start_time": "2022-04-14T14:42:58.898552Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_eval.T.plot(kind = 'bar')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Hyperparameter Selection: \n", "\n", "The metrics introduced in the last section are well suited to tune EvoMap's hyperparameters. \n", "\n", "Specifically, there are two hyperparameters one needs to set when applying EvoMap: \n", "\n", "- alpha (float): Controls the degree of alignment \n", "- p (int): Controls the degree of smoothing\n", "\n", "'Good' values for these parameters naturally depend on the given input data. Therefore, one should always test multiple values for them and compare their results visually and quantitatively (e.g., via visual inspection together with the metrics introduced in the previous section). \n", "\n", "To make such comparisons as easy as possible, EvoMap features a ```grid_search()``` function. Given some input data and a grid of parameter values, this function creates a map sequence for each parameter combination and summarizes the results. \n", "\n", "First, define the parameter grid as a Python dictionary. We use a rather narrow one here for demonstration purpose (and to speed up runtime). We recommend, however, to always start with a broad range and narrow it down later. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2022-04-14T14:42:59.101459Z", "start_time": "2022-04-14T14:42:59.087456Z" } }, "outputs": [], "source": [ "param_grid = {\n", " 'alpha': [0.00001, 0.0001, 0.001], \n", " 'p': [1,2]}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, define which metrics should be used to evaluate each combination from the grid:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "metrics = [misalign_score, persistence_score, avg_hitrate_score]\n", "metric_labels = ['Misalignment', 'Persistence', 'Hitrate']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, initialize the model and start the grid search (available for each implementation of EvoMap):" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.080Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[EvoTSNE] Evaluating parameter grid..\n", "[EvoTSNE] .. evaluating parameter combination: {'alpha': 1e-05, 'p': 1}\n", "[EvoTSNE] .. evaluating parameter combination: {'alpha': 1e-05, 'p': 2}\n", "[EvoTSNE] .. evaluating parameter combination: {'alpha': 0.0001, 'p': 1}\n", "[EvoTSNE] .. evaluating parameter combination: {'alpha': 0.0001, 'p': 2}\n", "[EvoTSNE] .. evaluating parameter combination: {'alpha': 0.001, 'p': 1}\n", "[EvoTSNE] .. evaluating parameter combination: {'alpha': 0.001, 'p': 2}\n", "[EvoTSNE] Grid Search Completed.\n" ] } ], "source": [ "model = EvoTSNE(verbose = 2, init = Y_inits)\n", "\n", "df_grid_results = model.grid_search(\n", " Xs = Ds, \n", " param_grid = param_grid, \n", " eval_functions = metrics,\n", " eval_labels = metric_labels, \n", " kwargs = {'input_format' : 'dissimilarity'})" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0.0001010.8046620.0391090.0771610.656136
0.0001020.8144540.0304410.5250060.650861
0.0010010.8265550.0151030.5354250.644011
0.0010020.8331380.0119720.8221310.640641
\n", "
" ], "text/plain": [ " p cost_static_avg Misalignment Persistence Hitrate\n", "alpha \n", "0.00001 1 0.797360 0.078819 -0.189828 0.658260\n", "0.00001 2 0.799216 0.062311 0.009897 0.656813\n", "0.00010 1 0.804662 0.039109 0.077161 0.656136\n", "0.00010 2 0.814454 0.030441 0.525006 0.650861\n", "0.00100 1 0.826555 0.015103 0.535425 0.644011\n", "0.00100 2 0.833138 0.011972 0.822131 0.640641" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_grid_results" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.082Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,3, figsize = (20,7))\n", "\n", "sns.barplot(x = 'alpha', y = 'cost_static_avg', hue = 'p', data = df_grid_results.reset_index(), ax = ax[0])\n", "sns.barplot(x = 'alpha', y = 'Misalignment', hue = 'p', data = df_grid_results.reset_index(), ax = ax[1])\n", "sns.barplot(x = 'alpha', y = 'Persistence', hue = 'p', data = df_grid_results.reset_index(), ax = ax[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on this evaluation, you can select suitable parameter combinations and inspect them further visually. \n", "\n", "Here, alpha = 0.001 and p = 2 seem reasonable, as this combination decreases misalignment, increases persistence, but does not increase static cost substantially. To use them, either create a new model instance or use the ```set_params()``` function to override the parameters of an existing model instance." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.084Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[EvoTSNE] Initialization 1/1\n", "[EvoTSNE] Gradient descent with Momentum: 0.5\n", "[EvoTSNE] Iteration 50 -- Cost: 234.25 -- Gradient Norm: 0.2282\n", "[EvoTSNE] Iteration 100 -- Cost: 229.56 -- Gradient Norm: 0.1524\n", "[EvoTSNE] Iteration 150 -- Cost: 228.39 -- Gradient Norm: 0.1317\n", "[EvoTSNE] Iteration 200 -- Cost: 227.98 -- Gradient Norm: 0.0922\n", "[EvoTSNE] Iteration 250 -- Cost: 227.71 -- Gradient Norm: 0.0523\n", "[EvoTSNE] Maximum number of iterations reached. Final cost: 227.71\n", "[EvoTSNE] Gradient descent with Momentum: 0.8\n", "[EvoTSNE] Iteration 300 -- Cost: 17.64 -- Gradient Norm: 0.0509\n", "[EvoTSNE] Iteration 350 -- Cost: 17.27 -- Gradient Norm: 0.0099\n", "[EvoTSNE] Iteration 400 -- Cost: 17.14 -- Gradient Norm: 0.0069\n", "[EvoTSNE] Iteration 450 -- Cost: 17.09 -- Gradient Norm: 0.0059\n", "[EvoTSNE] Iteration 500 -- Cost: 17.06 -- Gradient Norm: 0.0033\n", "[EvoTSNE] Iteration 550 -- Cost: 17.04 -- Gradient Norm: 0.0029\n", "[EvoTSNE] Iteration 600 -- Cost: 17.03 -- Gradient Norm: 0.0024\n", "[EvoTSNE] Iteration 650 -- Cost: 17.01 -- Gradient Norm: 0.0034\n", "[EvoTSNE] Iteration 700 -- Cost: 16.96 -- Gradient Norm: 0.0037\n", "[EvoTSNE] Iteration 750 -- Cost: 16.95 -- Gradient Norm: 0.0029\n", "[EvoTSNE] Iteration 800 -- Cost: 16.92 -- Gradient Norm: 0.0069\n", "[EvoTSNE] Iteration 850 -- Cost: 16.91 -- Gradient Norm: 0.0016\n", "[EvoTSNE] Iteration 900 -- Cost: 16.90 -- Gradient Norm: 0.0017\n", "[EvoTSNE] Iteration 950 -- Cost: 16.90 -- Gradient Norm: 0.0025\n", "[EvoTSNE] Iteration 1000 -- Cost: 16.85 -- Gradient Norm: 0.0051\n", "[EvoTSNE] Iteration 1038: gradient norm vanished.\n" ] } ], "source": [ "Y_t = model.set_params({'alpha': 0.001, 'p': 2}).fit_transform(Ds)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.086Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_dynamic_map(Y_t, color = sic_codes)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.089Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "focus_firms = [\n", " 'INTUIT INC',\n", " 'WESTERN DIGITAL CORP', \n", " 'APPLE INC']\n", "\n", "draw_trajectories(Y_t, labels = names, selected_labels = focus_firms, period_labels = years)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with any unsupervised learning technique, tuning these maps is both science and art. As there typically is no ground-truth known, it is impossible to objectively identify a single best solution. Instead, the grid results should serve as a starting point to identify suitable values, from which you should always compare different solutions. \n", "\n", "Further note that the grid was set relatively small to make this tutorial computationally inexpensive. In practical applications, it's always advisable to test a more extensive grid to faithfully identify suitable hyperparameter values. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## Choosing a Different Mapping Method\n", "\n", "Thus far, this tutorial only used a single mapping method (t-SNE). While t-SNE works particularly well for large datasets, it has certain properties that make it less suitable for smaller datasets (e.g., map positions are estimated based on nearest neighborhood probabilities, rather than the actual input distances). \n", "\n", "In such (and other) cases, Multidimensional Scaling (MDS) and its variants might be the preferred choice. Therefore, we also provide an implementation of EvoMap for MDS: ```EvoMDS()```\n", "\n", "For this demonstration, let's first pick a smaller sample:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.091Z" } }, "outputs": [], "source": [ "sample_firms = [\n", " 'US CELLULAR CORP', \n", " 'AT&T INC', \n", " 'MICROSOFT CORP', \n", " 'WESTERN DIGITAL CORP', \n", " 'ORACLE CORP', \n", " 'EBAY INC', \n", " 'INTUIT INC', \n", " 'APPLE INC'] \n", "\n", "df_sample = df_sample.query('name1 in @sample_firms').query('name2 in @sample_firms')\n", "\n", "Ds, names, years = build_distance_matrices(df_sample)\n", "n_samples = Ds[0].shape[0]\n", "n_periods = len(Ds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that MDS does not transform the input distances in any way, but rather tries to fit map distances to them as closely as possible. Therefore, always make sure that your input distances are on a reasonable scale. If input distances are very large, for instance, gradient norms can quickly explode and it can become challenging to reach a good solution. Normalizing the input distances to a smaller range can help to avoid such cases and does not affect the resultant maps up to scaling their coordinate system. Make sure, however, to normalize each distance matrix in the sequence by the same factor! You can do so via the `preprocessing` module." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.094Z" } }, "outputs": [], "source": [ "from evomap.preprocessing import normalize_diss_mats\n", "Ds_norm = normalize_diss_mats(Ds)" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2022-04-14T13:54:56.432423Z", "start_time": "2022-04-14T13:54:56.418466Z" } }, "source": [ "Running EvoMap for MDS follows the same syntax as running it for t-SNE. Note, however, that some arguments for both classes differ, as they use different optimization routines. \n", "\n", "**Note:** MDS optimizes a different static cost function than t-SNE (Stress, rather than KL Divergence). As the output of these functions are scaled differently, 'good' values for the hyperparamters can (and will) differ. Thus, make sure to run the grid search for MDS separately. " ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.097Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[EvoMDS] Diverging gradient norm at iteration 117\n", "[EvoMDS] Adjusting step sizes..\n", "[EvoMDS] Diverging gradient norm at iteration 117\n", "[EvoMDS] Adjusting step sizes..\n", "[EvoMDS] Diverging gradient norm at iteration 12\n", "[EvoMDS] Adjusting step sizes..\n", "[EvoMDS] Diverging gradient norm at iteration 18\n", "[EvoMDS] Adjusting step sizes..\n", "[EvoMDS] Diverging gradient norm at iteration 47\n", "[EvoMDS] Adjusting step sizes..\n" ] } ], "source": [ "from evomap.mapping import EvoMDS\n", "\n", "param_grid = {\n", " 'alpha': [0.5,1,5], \n", " 'p': [1,2]}\n", "\n", "model_MDS = EvoMDS()\n", "\n", "df_res = model_MDS.grid_search(\n", " Xs = Ds_norm, \n", " param_grid = param_grid, \n", " eval_functions = metrics,\n", " eval_labels = metric_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For (very) high values of alpha, lower step sizes are required to ensure convergence. Otherwise, the very large temporal gradient can explode and the optimization diverges. EvoMap implements a set of controls trying to avoid such behavior. For instance, it automatically adjusts (i.e., lowers) step sizes if the gradient norm starts to diverge. In most cases, these controls will suffice to find good solutions. If not, consider lowering alpha or decrease the step sizes manually. " ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.099Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8atWqTfpuAKB4/vEf/zHXXXddzjzzzGKXAgCwgf/+7//O3XffnW7durVor6yszAsvvFCkqgCAjtCm4OWPf/xjDjvssDz00EMpKSlJU1NTkqSkpCRJ0tDQsEnjrFixIg0NDamoqGjRXlFRkccff3yTxjj11FMzcODA5qClvr6+eYy/HfPtfX+rtrY2Z5111iZ9HwCwZXjzzTdzxRVX5Pbbb89ee+2V7bbbrsX+2bNnF6kyAICksbGx1b+PPP/889lhhx2KUBEA0FHa9Kixk046KUOGDMny5cvTo0ePPPLII/n1r3+dMWPGZNGiRQUucePOO++8XH/99fn5z3/+nt7dMmPGjKxcubJ5e+655wpYJQDQHn7/+99n1KhRKS0tzcMPP5wHHnigeXvwwQeLXR4A0MkdcsghmTNnTvPnkpKSrF69OrNmzcqnP/3p4hUGALS7Nq14Wbx4cX71q1+lb9++KS0tTWlpaT7ykY+ktrY2//Iv/5IHHnhgk8bp27dvunTpkmXLlrVoX7ZsWfr37/+Ox1500UU577zzmu9yfdvbxy1btiwDBgxoMeaoUaNaHausrCxlZWWbVDMAsGW44447il0CAMBGXXzxxRk/fnyGDx+eN998M1/4whfy5JNPpm/fvvnxj39c7PIAgHbUphUvDQ0Nzcti+/btmxdffDFJsssuu+SJJ57Y5HG6deuW0aNHt3ipXGNjY+rq6jJu3LiNHnfBBRfknHPOyYIFCzJmzJgW+4YMGZL+/fu3GHPVqlW555573nFMAGDr9NRTT+XWW2/Nn//85yRpfgQqAEAx7bzzzvnd736X008/Paecckr23nvvnHfeeXnggQfSr1+/YpcHALSjNq142XPPPfO73/0uQ4YMydixY3PBBRekW7duueKKKzJ06NDNGqumpibHHHNMxowZk/322y9z5szJmjVrUl1dnSSZMmVKBg0alNra2iTJ+eefn5kzZ+a6665LZWVl83tbtt9++2y//fYpKSnJySefnHPPPTe77bZbhgwZkjPPPDMDBw7MxIkT23K6AMAW6JVXXsnnP//53HHHHSkpKcmTTz6ZoUOH5thjj03v3r1z8cUXF7tEAKCT69q1a774xS/mi1/8YrFLAQA6UJtWvJxxxhlpbGxMkpx99tl55pln8tGPfjS33HJLvvOd72zWWJMmTcpFF12UmTNnZtSoUXnwwQezYMGCVFRUJEmWLl2al156qbn/5ZdfnnXr1uWII47IgAEDmreLLrqouc/Xvva1/PM//3OOO+647Lvvvlm9enUWLFjwnt4DAwBsWU455ZRst912Wbp0aXr06NHcPmnSpCxYsKCIlQEAJLW1tZk3b94G7fPmzcv5559fhIoAgI7SphUv48ePb/551113zeOPP55XX301vXv3TklJSfO+559/PgMHDkxp6TvnO9OmTcu0adNa3bdo0aIWn5999tl3ra+kpCRnn312zj777HftCwBsnW677bbceuut2XnnnVu077bbbvnTn/5UpKoAAP7ie9/7Xq677roN2j/84Q/nqKOOyqmnnlqEqgCAjtCmFS+t6dOnT4vQJUmGDx++SUEJAMDmWrNmTYuVLm979dVXU1ZWVoSKAAD+qr6+PgMGDNig/f3vf3+LJ3sAANueggUvrfFyWwCgvXz0ox/NNddc0/y5pKQkjY2NueCCC/Lxj3+8iJUBACSDBw/OXXfdtUH7XXfdlYEDBxahIgCgo7TpUWMAAMV2wQUX5BOf+ETuu+++rFu3Ll/72tfyyCOP5NVXX231jxwAAB1p6tSpOfnkk7N+/focfPDBSZK6urp87Wtfy1e/+tUiVwcAtCfBCwCwVdpzzz3zhz/8IZdeeml22GGHrF69On//93+fE088sdXHegAAdKTp06fnlVdeyQknnJB169YlScrLy3PqqadmxowZRa4OAGhPghcAYKvVq1evnH766cUuAwBgAyUlJTn//PNz5pln5rHHHkv37t2z2267eRcdAHQC7Rq8lJSUtOfwAEAn9+abb+b3v/99li9fnsbGxhb7PvvZzxapKgCAv9p+++2z7777FrsMAKADtWvw0tTU1J7DAwCd2IIFCzJlypSsWLFig30lJSVpaGgoQlUAAH+xZs2anHfeeamrq2v1JpE//vGPRaoMAGhvbQpeVq5cmYaGhvTp06dF+6uvvpquXbumZ8+eSZJHH300AwcOfO9VAgD8jX/+53/OkUcemZkzZ6aioqLY5QAAtPCP//iPufPOO3P00UdnwIABngoCAJ1Im4KXo446Kp/5zGdywgkntGj/yU9+kptvvjm33HJLkmTw4MHvvUIAgFYsW7YsNTU1QhcAYIv0X//1X/nlL3+ZAw44oNilAAAdrLQtB91zzz35+Mc/vkH7QQcdlHvuuec9FwUA8G6OOOKILFq0qNhlAAC0qnfv3hs8KQQA6BzatOJl7dq1eeuttzZoX79+ff785z+/56IAAN7NpZdemiOPPDL//d//nREjRmS77bZrsf9f/uVfilQZAEByzjnnZObMmbn66qvTo0ePYpcDAHSgNgUv++23X6644op897vfbdE+d+7cjB49uiCFAQC8kx//+Me57bbbUl5enkWLFrV4bnpJSYngBQAoqosvvjhPP/10KioqUllZucFNIvfff3+RKgMA2lubgpdzzz03VVVV+d3vfpdPfOITSZK6urr8z//8T2677baCFggA0JrTTz89Z511Vk477bSUlrbp6akAAO1m4sSJxS4BACiSNgUvBxxwQBYvXpwLL7wwP/nJT9K9e/fstdde+cEPfpDddtut0DUCAGxg3bp1mTRpktAFANgizZo1q9glAABF0qbgJUlGjRqVa6+9tpC1AABssmOOOSbz58/P17/+9WKXAgDQqtdeey0//elP8/TTT2f69Onp06dP7r///lRUVGTQoEHFLg8AaCebHLysWrUqPXv2bP75nbzdDwCgvTQ0NOSCCy7Irbfemr322muD56bPnj27SJUBACS///3vU1VVlV69euXZZ5/N1KlT06dPn9x4441ZunRprrnmmmKXCAC0k00OXnr37p2XXnop/fr1y4477tjiBbZva2pqSklJSRoaGgpaJADA33rooYey9957J0kefvjhFvtam6cAAHSkmpqafPnLX84FF1yQHXbYobn905/+dL7whS8UsTIAoL1tcvDyq1/9Kn369EmS3HHHHe1WEADApjAfAQC2ZP/zP/+T733vexu0Dxo0KPX19UWoCADoKJscvBx44IHNPw8ZMiSDBw/e4G7SpqamPPfcc4WrDgAAAGArVFZW1uqj2v/whz/k/e9/fxEqAgA6SmlbDhoyZEhefvnlDdpfffXVDBky5D0XBQDwbtasWZMzzzwz+++/f3bdddcMHTq0xQYAUEyf/exnc/bZZ2f9+vVJ/vIo1KVLl+bUU0/N4YcfXuTqAID2tMkrXv6vt9/l8rdWr16d8vLy91wUAMC7+cd//MfceeedOfroozNgwADvdQEAtigXX3xxjjjiiPTr1y9//vOfc+CBB6a+vj7jxo3LN7/5zWKXBwC0o80KXmpqapL85S6NM888Mz169Gje19DQkHvuuSejRo0qaIEAAK35r//6r/zyl7/MAQccUOxSAAA20KtXryxcuDB33XVXfve732X16tXZZ599UlVVVezSAIB2tlnBywMPPJDkLyteHnrooXTr1q15X7du3TJy5Mj867/+a2ErBABoRe/evdOnT59ilwEA0KprrrkmkyZNygEHHNDiRpF169bl+uuvz5QpU4pYHQDQnjYreLnjjjuSJNXV1bnkkkvSs2fPdikKAODdnHPOOZk5c2auvvrqFqtwAQC2BNXV1ZkwYUL69evXov31119PdXW14AUAtmFtesfLD3/4w0LXAQCwWS6++OI8/fTTqaioSGVlZbbbbrsW+++///4iVQYAsPH34z7//PPp1atXESoCADpKm4KXJLnvvvvyk5/8JEuXLs26deta7Lvxxhvfc2EAAO9k4sSJxS4BAGADe++9d0pKSlJSUpJPfOIT6dr1r396aWhoyDPPPJMJEyYUsUIAoL21KXh5+1mk48ePz2233ZZDDjkkf/jDH7Js2bIcdthhha4RAGADs2bNKnYJbEGWnj2i2CV0uA/MfKjYJQDQirdvDnnwwQczfvz4bL/99s37unXrlsrKyhx++OFFqg4A6AhtCl6+9a1v5dvf/nZOPPHE7LDDDrnkkksyZMiQ/NM//VMGDBhQ6BoBAAAAtgpv3xxSWVmZo446KmVlZUWuqOONnn5NsUvocD/fodgVALAlKW3LQU8//XQOPfTQJH+5W2PNmjUpKSnJKaeckiuuuKKgBQIAtKZ3797p06fPBttOO+2UQYMG5cADD/ReOgCgaA4++OC8/PLLzZ/vvffenHzyyf5uAgCdQJuCl969e+f1119PkgwaNCgPP/xwkuS1117LG2+8UbjqAAA2YubMmSktLc2hhx6as846K2eddVYOPfTQlJaW5sQTT8yHPvShHH/88bnyyiuLXSoA0Al94QtfyB133JEkqa+vT1VVVe69996cfvrpOfvss4tcHQDQntr0qLGPfexjWbhwYUaMGJEjjzwyJ510Un71q19l4cKF+cQnPlHoGgEANvCb3/wm5557br7yla+0aP/e976X2267LT/72c+y11575Tvf+U6mTp1apCoBgM7q4Ycfzn777Zck+clPfpIRI0bkrrvuym233ZavfOUrmTlzZpErBADaS5tWvFx66aU56qijkiSnn356ampqsmzZshx++OH5wQ9+UNACAQBac+utt6aqqmqD9k984hO59dZbkySf/vSn88c//rGjSwMAyPr165vf73L77bfns5/9bJJk2LBheemll4pZGgDQztq04qVPnz7NP5eWlua0004rWEEAAJuiT58++cUvfpFTTjmlRfsvfvGL5rnKmjVrssMO3nQKAHS8D3/4w5k7d24OPfTQLFy4MOecc06S5MUXX8xOO+1U5OoAgPbUpuClS5cueemll9KvX78W7a+88kr69euXhoaGghQHALAxZ555Zo4//vjccccdzY/x+J//+Z/ccsstmTt3bpJk4cKFOfDAA4tZJgDQSZ1//vk57LDDcuGFF+aYY47JyJEjkyQ333xz89wFANg2tSl4aWpqarV97dq16dat23sqCABgU0ydOjXDhw/PpZdemhtvvDFJsvvuu+fOO+/M/vvvnyT56le/WswSAYBO7KCDDsqKFSuyatWq9O7du7n9uOOOS48ePYpYGQDQ3jYrePnOd76TJCkpKcn3v//9bL/99s37Ghoa8utf/zrDhg0rbIUAABtxwAEH5IADDih2GQAArerSpUuL0CVJKisri1MMANBhNit4+fa3v53kLyte5s6dmy5dujTv69atWyorK5sf7QEAUGirVq1Kz549m39+J2/3AwDoKPvss0/q6urSu3fv7L333ikpKdlo3/vvv78DKwMAOtJmBS/PPPNMkuTjH/94brzxxg3u2gAAaE+9e/dufs/cjjvu2OofM5qamlJSUuKdcwBAh/vc5z6XsrKyJMnEiROLWwwAUDRtesfLHXfc0eJzQ0NDHnrooeyyyy7CGACg3fzqV79Knz59kmw4HwEAKLZZs2a1+jMA0Lm0KXg5+eSTM2LEiBx77LFpaGjIxz72sSxevDg9evTIf/7nf+aggw4qcJkAAMmBBx7Y6s8AAFua5557LiUlJdl5552TJPfee2+uu+66DB8+PMcdd1yRqwMA2lObgpcbbrghX/rSl5Ikv/jFL/Lss8/m8ccfz49+9KOcfvrpueuuuwpaJABAkvz+97/f5L577bVXO1YCAPDOvvCFL+S4447L0Ucfnfr6+lRVVWXPPffMtddem/r6+sycObPYJQIA7aRNwcsrr7yS/v37J0luueWWHHnkkfnQhz6Uf/iHf8gll1xS0AIBAN42atSolJSUpKmp6R37eccLAFBsDz/8cPbbb78kyU9+8pOMGDEid911V2677bZ85StfEbwAwDasTcFLRUVFHn300QwYMCALFizI5ZdfniR544030qVLl4IWCADwtmeeeabYJQAAbJL169enrKwsSXL77bfns5/9bJJk2LBheemll4pZGgDQztoUvFRXV+fzn/98BgwYkJKSklRVVSVJ7rnnngwbNqygBQIAvG2XXXYpdgkAAJvkwx/+cObOnZtDDz00CxcuzDnnnJMkefHFF7PTTjsVuToAoD2VtuWgb3zjG/n+97+f4447LnfddVfzHRxdunTJaaedVtACAQDeyaOPPpoFCxbk5ptvbrFtjssuuyyVlZUpLy/P2LFjc++9975j/xtuuCHDhg1LeXl5RowYkVtuuWWDPo899lg++9nPplevXnnf+96XfffdN0uXLt2sugCArdf555+f733veznooIMyefLkjBw5Mkly8803Nz+CDADYNrVpxUuSHHHEERu0HXPMMS0+v/2HiMGDB7f1awAAWvXHP/4xhx12WB566KEW730pKSlJkk1+x8v8+fNTU1OTuXPnZuzYsZkzZ07Gjx+fJ554Iv369dug/913353JkyentrY2f/d3f5frrrsuEydOzP33358999wzSfL000/nIx/5SI499ticddZZ6dmzZx555JGUl5cX6OwBgC1ZU1NThg4dmqVLl+att95K7969m/cdd9xx6dGjRxGrAwDaW5tWvGyqZ599NuvXr2/PrwAAOqmTTjopQ4YMyfLly9OjR4888sgj+fWvf50xY8Zk0aJFmzzO7NmzM3Xq1FRXV2f48OGZO3duevTokXnz5rXa/5JLLsmECRMyffr07LHHHjnnnHOyzz775NJLL23uc/rpp+fTn/50Lrjgguy999754Ac/mM9+9rOtBjkAwLanqakpu+66a+rr61uELklSWVlpTgAA27h2DV4AANrL4sWLc/bZZ6dv374pLS1NaWlpPvKRj6S2tjb/8i//skljrFu3LkuWLGl+X12SlJaWpqqqKosXL97o9/7f/kkyfvz45v6NjY355S9/mQ996EMZP358+vXrl7Fjx+amm25q24kCAFud0tLS7LbbbnnllVeKXQoAUASCFwBgq9TQ0JAddtghSdK3b9+8+OKLSZJddtklTzzxxCaNsWLFijQ0NKSioqJFe0VFRerr61s9pr6+/h37L1++PKtXr855552XCRMm5Lbbbsthhx2Wv//7v8+dd97Z6phr167NqlWrWmwAwNbtvPPOy/Tp0/Pwww8XuxQAoIO1+R0vAADFtOeee+Z3v/tdhgwZkrFjx+aCCy5It27dcsUVV2To0KFFq6uxsTFJ8rnPfS6nnHJKkmTUqFG5++67M3fu3Bx44IEbHFNbW5uzzjqrQ+sEANrXlClT8sYbb2TkyJHp1q1bunfv3mL/q6++WqTKAID2JngBALZKZ5xxRtasWZMkOfvss/N3f/d3+ehHP5qddtop8+fP36Qx+vbtmy5dumTZsmUt2pctW5b+/fu3ekz//v3fsX/fvn3TtWvXDB8+vEWfPfbYI7/5zW9aHXPGjBmpqalp/rxq1aoMHjx4k84BANgyzZkzp9glAABFIngBALZK48ePb/551113zeOPP55XX301vXv3TklJySaN0a1bt4wePTp1dXWZOHFikr+sWKmrq8u0adNaPWbcuHGpq6vLySef3Ny2cOHCjBs3rnnMfffdd4PHnf3hD3/ILrvs0uqYZWVlKSsr26SaAYCtwzHHHFPsEgCAImnTO16uueaarF27doP2devW5Zprrmn+/L3vfW+DZ6ADALSHVatW5de//vUmv9/lbTU1Nbnyyitz9dVX57HHHsvxxx+fNWvWpLq6OslfHhMyY8aM5v4nnXRSFixYkIsvvjiPP/54vvGNb+S+++5rEdRMnz498+fPz5VXXpmnnnoql156aX7xi1/khBNOKMzJAgBbhaeffjpnnHFGJk+enOXLlydJ/uu//iuPPPJIkSsDANpTm4KX6urqrFy5coP2119/vfmPFEnyhS98Ie973/vaXh0AwEZ8/vOfz6WXXpok+fOf/5wxY8bk85//fEaMGJGf/exnmzzOpEmTctFFF2XmzJkZNWpUHnzwwSxYsKD55pGlS5fmpZdeau6///7757rrrssVV1yRkSNH5qc//Wluuumm7Lnnns19DjvssMydOzcXXHBBRowYke9///v52c9+lo985CMFOnsAYEt35513ZsSIEbnnnnty4403ZvXq1UmS3/3ud5k1a1aRqwMA2lObHjXW1NTU6iM8nn/++fTq1es9FwUA8G5+/etf5/TTT0+S/PznP09TU1Nee+21XH311Tn33HNz+OGHb/JY06ZN2+ijxRYtWrRB25FHHpkjjzzyHcf8h3/4h/zDP/zDJtcAAGxbTjvttJx77rmpqanJDjvs0Nx+8MEHN988AgBsmzYreNl7771TUlKSkpKSfOITn0jXrn89vKGhIc8880wmTJhQ8CIBAP7WypUr06dPnyTJggULcvjhh6dHjx459NBDM3369CJXBwB0dg899FCuu+66Ddr79euXFStWFKEiAKCjbFbw8vZLZx988MGMHz8+22+/ffO+bt26pbKycrPuLgUAaKvBgwdn8eLF6dOnTxYsWJDrr78+SfK///u/KS8vL3J1AEBnt+OOO+all17KkCFDWrQ/8MADGTRoUJGqAgA6wmYFL28/g7SysjJHHXVUysrK2qUoAIB3c/LJJ+eLX/xitt9+++yyyy456KCDkvzlEWQjRowobnEAQKd31FFH5dRTT80NN9yQkpKSNDY25q677sq//uu/ZsqUKcUuDwBoR6VtOejggw/Oyy+/3Pz53nvvzcknn5wrrriiYIUBALyTE044IYsXL868efPym9/8JqWlf5nWDB06NOeee26RqwMAOrtvfetb2WOPPfKBD3wgq1evzvDhw/Oxj30s+++/f84444xilwcAtKPNWvHyti984Qs57rjjcvTRR6e+vj5VVVXZc889c+2116a+vj4zZ84sdJ0AABsYM2ZMxowZ06Lt0EMPLVI1AABJY2NjLrzwwtx8881Zt25djj766Bx++OFZvXp19t577+y2227FLhEAaGdtCl4efvjh7LfffkmSn/zkJxkxYkTuuuuu3HbbbfnKV74ieAEA2kVNTU3OOeecvO9970tNTc079p09e3YHVQUA8Fff/OY3841vfCNVVVXp3r17rrvuujQ1NWXevHnFLg0A6CBtCl7Wr1/f/H6X22+/PZ/97GeTJMOGDctLL71UuOoAAP6PBx54IOvXr2/+GQBgS3PNNdfk3/7t3/JP//RPSf7yd5NDDz003//+95sfjQoAbNvaFLx8+MMfzty5c3PooYdm4cKFOeecc5IkL774YnbaaaeCFggA8LY77rij1Z8BALYUS5cuzac//enmz1VVVSkpKcmLL76YnXfeuYiVAQAdpU3By/nnn5/DDjssF154YY455piMHDkySXLzzTc3P4IMAKA9/MM//MO79ikpKckPfvCDDqgGAKClt956K+Xl5S3atttuu+ZVuwDAtq9NwctBBx2UFStWZNWqVendu3dz+3HHHZcePXps9niXXXZZLrzwwtTX12fkyJH57ne/u9EA55FHHsnMmTOzZMmS/OlPf8q3v/3tnHzyyS36fOMb38hZZ53Vom333XfP448/vtm1AQBblquuuiq77LJL9t577zQ1NRW7HACAFpqamvLlL3+5+RHtSfLmm2/mK1/5St73vvc1t914443FKA8A6ABtCl6SpEuXLnnrrbfym9/8Jslfgo3KysrNHmf+/PmpqanJ3LlzM3bs2MyZMyfjx4/PE088kX79+m3Q/4033sjQoUNz5JFH5pRTTtnouB/+8Idz++23N3/u2rXNpwoAbEGOP/74/PjHP84zzzyT6urqfOlLX0qfPn2KXRYAQJLkmGOO2aDtS1/60nsed3NuWv2/rr/++kyePDmf+9znctNNN73nOgCAd9emNGLNmjX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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,3, figsize = (20,7))\n", "\n", "sns.barplot(x = 'alpha', y = 'cost_static_avg', hue = 'p', data = df_res.reset_index(), ax = ax[0])\n", "sns.barplot(x = 'alpha', y = 'Misalignment', hue = 'p', data = df_res.reset_index(), ax = ax[1])\n", "sns.barplot(x = 'alpha', y = 'Persistence', hue = 'p', data = df_res.reset_index(), ax = ax[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this graph, alpha = 5 and p = 2 seem reasonable." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.103Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[EvoMDS] Diverging gradient norm at iteration 13\n", "[EvoMDS] Adjusting step sizes..\n", "[EvoMDS] Diverging gradient norm at iteration 19\n", "[EvoMDS] Adjusting step sizes..\n", "[EvoMDS] Diverging gradient norm at iteration 48\n", "[EvoMDS] Adjusting step sizes..\n" ] } ], "source": [ "model_MDS.set_params({'alpha': 5, 'p': 2})\n", "Ys_MDS = model_MDS.fit_transform(Ds_norm)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.105Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "draw_dynamic_map(Ys_MDS, show_arrows = True)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "start_time": "2022-04-14T14:38:18.107Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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", 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