{
"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": {
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\n",
"\n",
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\n",
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\n",
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\n",
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year
\n",
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gvkey1
\n",
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gvkey2
\n",
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score
\n",
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name1
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name2
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sic1
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sic2
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size1
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size2
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0
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1998
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1078
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1602
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0.0274
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ABBOTT LABORATORIES
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AMGEN INC
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3845
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2836
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74.211937
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36.866437
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1999
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1078
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1602
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0.0352
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ABBOTT LABORATORIES
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AMGEN INC
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3845
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2836
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87.854384
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48.541222
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2
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2000
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1078
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1602
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0.0348
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ABBOTT LABORATORIES
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AMGEN INC
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3845
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2836
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70.098508
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93.428689
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3
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2001
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1078
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1602
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0.0218
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ABBOTT LABORATORIES
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AMGEN INC
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3845
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2836
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110.299430
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4
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2002
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1078
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1602
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0.0366
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ABBOTT LABORATORIES
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AMGEN INC
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3845
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2836
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40.140853
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42.840198
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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, sim2dist\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 'sim2dist' \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 = sim2dist(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: 234.07 -- Gradient Norm: 0.1705\n",
"[EvoTSNE] Iteration 100 -- Cost: 228.16 -- Gradient Norm: 0.0807\n",
"[EvoTSNE] Iteration 150 -- Cost: 227.12 -- Gradient Norm: 0.0448\n",
"[EvoTSNE] Iteration 200 -- Cost: 226.96 -- Gradient Norm: 0.0522\n",
"[EvoTSNE] Iteration 250 -- Cost: 226.94 -- Gradient Norm: 0.0697\n",
"[EvoTSNE] Gradient descent with Momentum: 0.8\n",
"[EvoTSNE] Iteration 300 -- Cost: 17.11 -- Gradient Norm: 0.0053\n",
"[EvoTSNE] Iteration 350 -- Cost: 16.87 -- Gradient Norm: 0.0025\n",
"[EvoTSNE] Iteration 388: 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": {
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",
"text/plain": [
"
"
]
},
"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": 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], c = sic_codes, size = sizes)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can further annotate the map, using clusters"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2022-04-14T14:40:45.777016Z",
"start_time": "2022-04-14T14:40:45.624376Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\MPMATTHE\\Anaconda3\\envs\\evomap\\lib\\site-packages\\numpy\\core\\fromnumeric.py:3579: FutureWarning: Dropping of nuisance columns in DataFrame reductions (with 'numeric_only=None') is deprecated; in a future version this will raise TypeError. Select only valid columns before calling the reduction.\n",
" return std(axis=axis, dtype=dtype, out=out, ddof=ddof, **kwargs)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"draw_map(Ys[0], c = sic_codes, size = sizes, annotate = 'clusters')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"or labels. Note that you can also use additional keyword arguments to adjust the plot and its labels further. "
]
},
{
"cell_type": "code",
"execution_count": 12,
"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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",
"text/plain": [
"
"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"draw_map(\n",
" Ys[0], \n",
" c = sic_codes, \n",
" size = sizes,\n",
" annotate = 'labels', \n",
" labels = names, \n",
" highlight_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": 13,
"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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",
"text/plain": [
"
"
]
},
"execution_count": 13,
"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": 14,
"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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",
"text/plain": [
"
"
]
},
"execution_count": 14,
"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": 15,
"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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h/N061U1HFYIrO6IkYGi9gPS9wh0PSmEUc2KuiRtEpA2NWifAMhQUBSoZ4x3xtL8Vltoez55a4LvnqrS9EFUVtBx/zflqYSTxL3MQiGKZjPNWBB035P/9p8f5+ol5ShmDv/HhfXzfoaE790FukrShUkjpNJwAU1PwwxhLV8lavUzD9wp3/C+92PaYrjlIJMWUpJg2cPyQlPq9/SRcaLq8NlnnuTOLyFgy23QpZgyqbY+1mqkFSbL7GycWqGQMnjk+zxtTDfpyJmOlNP/HM6dWLE9mmx5/7Xdf5d/+xYd5+sDgdc8liiWTVZty1iB/h90khRDsqGSSqqMXUsmqlDNGrwL3PcQdtS6p2z7Pnlqk2gnQVIGuCfKWjq4IdvVn2dmf3bT32mo4foTth6QMdaU/zAujpGdttsWzp5doeQE12yeKJDXbZ7iUouUELLY8zi12cIJ4ZQunCSimVPYM5pmsOviRpC+rE4QxZ5fsNSeaPLK9xB/9lXdf8zxfvFDl53/7ZWw/IpaSv/TEdv7u9x+87S0rPb632BLWJbWOz5femmWu4SKlJKWp5NIak9WAg8M5CimduYaDIgT5lI61BexVLwXk692QbhDhhTGWrmCukfuYWO5wbqmzcsztlQx5S+P16QaLTZc3Zxp4QcxIMc10zWGx5WIZGg07mWji+CFSxqRV8GJAJnkWN5RM1zsstnwK6WTrO9vw1gxIkOTyrvc5fuo3X6TjhSs/+28vTHD/WIFPPzh6zd/t0WOzuCNBKYolz59bpuEE1J2A84stFpoeDSdkqeMTxJJiSuf7jwzx8HgRIWBnJcOuwfymbx+klLS8kIYdYGgKpbSBoV2dx1poukzXHYIopj9nsq2UXjPfNVntcHHZ7gYuya6+LMPFt9s7Ol7I2cU25Yy5Mgzg3GKbMJYU0zoLQF/G4vRCi6bj4YYRdhBhBzGqInHcgGrHJ4xAVSC8FHEkOH5M20/GGy22fZbaPuul5FQBP/jgKEFXkNh0A6aqDjv7MitVrRcvVK+yQ3KCiM+8Mt0LSj3uGHckKM01XI7NNphatjmz2AbgYtXBvszMrGYH/JcXJvns69M8MFZgqJDi6QODPLy9zMANVOUcP2Kp4xLHUEzp5FP6qpXOXMNlpuF0J4PAYstj32BuVWCqdTzOLrYppHRShspiyyOKJXsGcqveq+2FXFx2KKYNFCGIYsnZpQ7FtLFyo9t+hBACpXsOQgiiGFpOQCltEMWSKI6xNIU3phq03YAojFBUQa2TuDnmLY0oirGD1WugK63gJBCu4w83mDdpuj6//q2znJht8aW35ldsUv7Jpw/z5x8ZI2dqq7zAIcld3W4LlB49Lue2ByXHjzg6VWOmavPKRA3Hj6h12yHWouHGHJtpoiqCb59bopw1VozD6k5Ayw1QBGRMjayprwomjh9xdrGNpghUIbjo2AzlrZWgFkQxc02X4mWB6lLz6mDh7cC30PJIm9rKyqiQ0ql2/JVVxiU6brIduhRwLmlqLuWOgJVR25dbiagKeGHMybkWYRyz3PaZb7jUOh4tL6KSNimkNRYaLqamkDU0Gk6AIuSqedzXy/aJ7jkVUhqqonBqvk3DDnh1so4EusNR+OU/TvzAZxo2aUNd0QpBUsnbN7h2rs8LIwRizZXmRohiyULLxfYjSmmDcqbXr9fjDgSlpXZy0c23XGwvouWtH5BWfseOmGt4FCyTxbZPLCVLbQ/bj/DCiIWml2yr8hajxdRK0FrquOiKshIQdE1hse1RyZqoiiCMrs4RaYrADVeP/FCEuPqOXyMCmLqKvOIfpJTol92kOVNjuJBiruGgdkcX9ecs/DBmtumiCkEpbTBV75AxNYppg4ylUWu5LHU8UrqGHyYB8UZrDoqA/pxOHEPaVLG9kDdnGld9FC+M+V/++xtIBG4QoYpkFaarCpWMzjdPLvAXHt22EtzdIOL5s0ucXewgBBwaLvDojtJV29uGE3B0usFiy2W0mObwaH4lyR9GMd84ucBM3UVRkgktD4+XODxaWPn9pbbHG1MNGrbPWDnF4ZFiT0D5PcBtD0q1js83Ti5wcdmh4QZrTmhdi3PLNrv6M2QNFUmyDTI0hbmGQz6lE0QxCrDU8siaGpauEobJhNdLKEIg46R5VUVgagq6mmhfDE1BSokXxoxesT0ZyFscm2mgKImYr+mGDOTMVaskgLylU84YVDtectwooj9nkbtsmocQggNDOYbyFm0vJGNqGGpy8w8XUyy2PLKmiqJIXp9skLN0Wq7LQssjiCWBGxBEiUWJSmKAtdF5booCGUOj7oSkNJXFtreuhXbHf/uosUxWWcWUhiIEkzWHZ47P8+Pv2g7Ad89XObvYZjCfQkp4faqOZag8uK24cgw3iPjim7MEkUxGi882ma07fPKBEVRFMFWzmWm4jHTzb1EseW2izs6+DBlTo+kGfO34PClDJZfSuLjsUOsEfPjg4Iryv2EHtP2QrKFRSPe2mO8UbmtQsv2QC8s2sw0XJ4iINno3kRiY9WVNHhgrrqwQ/DAGLsvPkNz0XhBh6SqljM5E1cZQFYQQdLyQrKWvBBNFEezsy3B+sYMTBCChL2delTMppHQODOWYrjt4Ycy2UuJVdCWKIjgwlKfa8eh4EfmUvmpreAkhBKWMsTL5I4xiVEVg6Sp92USDY/sxhbSNimS26dH2Irww+YyXf22aAH+DK6aCqSEl3DeUww6S3JamKnjR9afnSkBVFPwoRhGCswtJLjCKJacX2gzmUsnfQSS+3Cdmm6uC0lTNxvGjle/N0lVmGw4LLZfhQorlToB5WZBXFQFCrgTuqVpSPLg0dbcvazDfdKnZPuWMwRtTDU4vtBAIYiQHhnIcHin0pAvvAG5rUJquOVxYalO3fVpOsOEnPEAlbfCX37uLYne4oaUrtJyQWCaWr2EkSWc1gjBelfsZzJkstX0kkDHVlSfxJTKmxn0jedwwQlXEmiV8gFLG3NBgRVUR9Ocs+nPrvyaOJYstj6WOh6YIhvIWOyoZzi62CaKYph0wUrR4z+5+Ts010ZQOYZQEhsvjTwSsMQJuXX78ie2MldJM1x3OLXZYbHn050xSbrfv8DrH8qMIU1PRFGUlODSdgHOLLU7Ptxgpphgvp4liedX3GERyzckml7bQfVmDN6ffviLCOHng5LrKbbnOxSKBuh1weqHFQM5amY13YrbFWDG9auTTZmL7IR0vxFAVspbeE3PeRm5bUFpqubx8fpnnziyx2PbxbyQiAf15Y9X8sIGchar41O3kP30ZgyCKyVga6W6eQQjBYCFFX87q+g2tnYBVFHFHDe6n6g5LLY+cpSUVusU2ewdzPLCtSMcL2d0f4QQxw4WIaseh7XrrroYS4cHG+MOXp/jS33iKqu0zXbPZPZAlCCPmmh7Pn1tipu6t+7uaIlaqg8W0zlP7+2l7Ib//0iRSwkLLZbHlMblss2sgzUcPDa/6/ZFCCmSyjbN0lbYXoqsK/V0LktFuQJus2isr34d3FFf+LqOlFG/ONHD8CEtXqNkBOVOjlDaYrjmJyV3395RudbPtJQWG47NNpusOWSN5AG20eht2l/JX5saW2h4LTRfHj3CCxEBv/0AOYwto6d6J3JY7M44lx2ZbOEHEUjsgjm8wIgHHZtv8jd99mV/6yAHGuhqhwbxFf9bACWLcIMLUVdK6etWSXVUE6hYZQBZGMdW2RyGlIUTiux1JlaW2x86+7IpIVEpJ2w1YaDostdYXOV7KKW0kMC21fX7vxYv8zPv3sL2S4eHtZU7MNlloevz44+N85pVpfvelSVSRDB24JGsYLljcN5xsSw1d5Wfeu4sHxoq8MVXH9iPuHysy1PKYqTvUbZ/HdlTYdYUav5DWefrAAM+fW6Zu++RTOt93aHDl82qqwlP7+llsezjd6tvleaFi2uD9e/t5bbLOQstnpGjx4LYiqiJIm2p3eq+8pAwmlpKUrvDShRp1x6eUMnDDiOfPLfPUvn4yZvJAWEuUG8WS2YZDveN3z91YWWG7QcR03Wa25rBk+yhSEC938IOYB8dLvRXTbeC2BKXFtsuL55d59tQCDdvDC2+wbNTls6/Pc3GxzS997ADv35c0kyqKQsZUyNwDo6GDMKZqeyy3PTRVIaUnuS4BXBmnhRAcna7zzdNVgnVSPpYqsAwVZEzTja/a3l1J1lJ5aaLBz1z6fV3lwfHSyr8/sqPM/+tjB3hrpsG2cpqxUopYJu1AZxfbqEKwZzC3knOzg2TLq4hkCzqUt5ip2wzk1l6JjFcyjJXS+FGMqSlXPTwURVzTGWK4mHiOXzmZpZIx2NGX4fxSB1VJtm87+zLomsJyx1s5n7Sh4QYR3z6zjKIkOUkhYFs5haGpGKpCX9bEDSLqdkDOSvKBja70RFcVgjDi+HSDME5yZ14Yc3G5zXNnFmg6PgMFi6yhkTZ00qaKqSlrimyDKHHCUITYEt0KW5lNvbPbbsBSx+MzL03y3Jklzi3ZKEJys/1zMfDaTIef+c2X+Rc/9iCfODJyTyQypZQstj2OTTdpewFNN+lf21ZJM5CzsIOI0Ssm1vpByB++PEW946+Ze1OBgbxOKZMijGKUhosXxsRxRBBdpvTuYmnQlzFXVQLXopDWefeevrffR0Ala1JZY6jkjkqG588ur+i12l6IrqkM5NfPvSmKwFJu7SZcq3Dw8HiJ8UqalhOST+n0ZQ1al7XHXKLW8Wm6AUdGi0zXWiy0PJ47s8RgLsnrFdI6dDsI/CgGIVlo2JxaaHFwqEDKTGxj2l5IztKZqnaY7X73Cw2PoWKKoYKFqSVFi0LKYGd/ZlV6oOUGLLS8la131tTozxrEsqttuweu6TvJpgWllhsw33Q5NtPg2+dqxN26suxuo26klH0lvoR/9Nmj9OdMHtle2fJL5rYXcnahRccPKaSMpMRtB8w1XCxNTW6GKyp+x2abnFvokDZUml60agmkChjMabxndz/v3TvAg+Ml5hoO//wrp6jbieuC7Ucrebu0SvIEtzQ+/cDqXM+tMFJM8aEDAzx7eokolmRMlU8/OHJXnvyKIhjIWVwuss+ZGpWMyXLHo5QyksDR8tg3lFsRv6ZNleW2ZCBnUbN9xstpXp2oUm0lbU8Xq22adkjWUimnTfKWTssL+MOXp1lq+2QMlaG8ST6lUk6nmFjqMNdw2T2QwQ5CRqWkNRnw2I4yatc5c7HlkTbUlRzYYstjqeWiqQqqojCYN1cKCT02MSgttFyW2y7fPV/F9UPShkrOVJFC0PKilYCkiGQkkHeDEarajnhrusn2SnbLm8FNVW2WWz5NL8SPYixNXZEL7BnKrXkBnlloYxkqhq5SsBQaTkwEWCocHMrwkUMj/NCj2xjMJ7mO0VKKv/7hvXzl+DxeEOH6Ef05E0VKLtYcymmDTzwwwuM7K5v62R4cL3FwJI/jR+S2WBVKCMGjO0orie6MofHQeJFIwqLrrfT8aWpiKeyG4IQRLS8kkpK2F9HxQoI4QlV0Ti+2sb2I3395asUGpumGLLZ99vSn0YSKEFBIGSw0XfpzFilNpW4HLLRcMqaG40f4YbySbohiyXLbS66HjE4Yx8zUHHb2q4RxTMeL0FWx5b7bO8mmBKU4lpyYafLqRI2LS22cIMQLI1RFoWoHxJc99WO5cZ3N5SgiWepeXE667bOmtiXzSmEU0/YjMpaGF8WkNBXbD4ilSimrrytBMHUFXRX0ZQ1MTSGtezTdkA/sH+DhHWXetbMPS1P59tklzi22yZk6T+6p8Fef2s3zZ5eJgffu6aN4B0YrmZq67ue4Wbww4sJSh4YTMFpKM1KwbmpbY+kqD42XeKibO2vYAc+dWUQVSUAJu2LOOAZdUbC9kJyVKOnD2CNtqliaihNGLLVdpmouUbz6go2lpO4E2EFARtdZtn3mmhoDeQ83iOnPGZxf7jCUT+GHEeeWOozHKSpZCy+M8KOIjJE8WDVFAREzVe3Q8ZN7JooTY7udfZnvSdPDTbmr55ou3z23xMWaTd0JcIMIIRITMtu/Omt7Mxmm7ZVUtzG2wVzDQyI5Mlq4qupztwnj5KIPo5i0nvSs2UFEv6YyXsqs2ye2syt/0FVB2lAxtRQHh00+fN8QD20vM1v3+Ad/8iZvTjdouUnCeSBnsth2makndiWmpvD/+fNH+HMPj93BT3zruEHEH7081dVxKXz77DLv2lnmyd191//l61BI67xnTx9nF9v4YYQiTNwgZLHtsrs/i5SwvZJBkqxikDBR7aArAkNTCaKYK2JScv1K8AJJwRS4QYyhSaZqLjKWnJqH7zs0xEghxWzDxfZCXjpfZ2d/mmLaxNQUUpflnMI4pumE9Hd1V5CkQxpOsGZu753OpgSlU3OtZJkaJU6SAkHdCRgpWbS9mIZ7dQLyRql3fL51apH37qmwvS+DoaocnW4wVLDuqOboeuiqgqkpjBRT5CwNJzAIo0RxvJ4Y0wsjpusOfTmTatvH1DX6MhoDOYtCSufPTi/xlePzTFY7THQN3QBmGu4Vx4n5m7//Ot933xCZe8g+9uRck+WOz1gxSf5HseSlizUOjxY2JddSTBs8sr3MI9vLtNyAIJJdixdBSld5a6bBcjfnFMYxKV3FCyPypsZD24qcWuisXi1JKGc0vChpVp5tujSdgHS33aXuBLw13cAP4665X0S941FIKeyopCmmMth+iKWreGFMywm4WO0wU3MoZQxGSil0VcFZrwz7DmdTrtymGyRd9UKgCAVDUzH1iL6swUcPDfIHr0zfcDPplSzbEYbh8ZXjCxybbfHI9gp+HHGwmmff0DXk1HeYROFtstj0SOsaKUMj2220XQspJRNLHWbrLgeGskwu2TScgDMLNueXbP7Ha7NUbR9NU2g50YZWmb/2tdP8rU8c3NwPdhtZ7vhY+uqWE0Hi4LDZCeC1jndopJD0VJo6XiVCypjFtoeqCGbqDodGcrw53Vx5fTmtE8aJUeEb003qdkAxZRDJkKV2wHDBwgsl5xc7zDVsphsuYSQ5s9DGC+FTD45iBxGLLZfTs02OzbXw/JD+vEXTD3D8iP68dc2q5juZTQlKYyWTVyeS/q7zi21CKcnoGrpQyJgqAxmd+fa1XQ+vx6UlcxBJTs23iWWyXdEVQSVrrLvMjWPJcsfHDZLetDvhDZSzEudMP4y7rSxXa3QuEUSSWsfnhbOLfOvMcqLpkpAyFXaUUtSdkCiW2M7Gn5ot7956wo4VU7w+2aCcTvRIXpj06d0pKxNDUxivZFZ1EFTbHi+cX+bCcodiSuOThwZJWwaeH/DGTIMglPhh0B0QGrMYuWzvy7DUdhksWKR1hRcvLDPflQJkTHXFXWHvYJa9gznOLLR5ZaKBUCRpU6PphkQS4lAyWk7dcX/0rcKmBKXDIyWOzbZpXVxGVRQyhkohpTFUStNwfOL1GpluAFWAH0m8KCSOklLv4dE8M3WXZ47N8SOPb1/1+iiW2H7Id84uc2ahhdmdiPHgthIzdYfffv4iQsBPPrmD9+/rv+XzuxJdVdZtc7kcRcC3zy3z9dNLXL7LbXkxJxc6qKqyrphyPX7u/btu8GzvLrv6s+wfzHF6sYWCQAj4yH1Dd1VkuNj20FWVx3dU+M65KrWOR39BQVE0NAFLboQXhtiBRCHxyJqqOYzkTRQkmqLgeAG6EPihZLbuIgBdCL56fJ6ZmsP5ZZu2H1K3PVK6yrZyhkJKo5y2GCumrzkH0Qsj6p0AL4oopg1ypvaO0TttSlAydJUfeniMYkpDiEVimdjAzjVsTs23b1rRvQoJWUOh7kbkrEs9TSZtJ+T4XGuVHckrEzU+//oMR6ebTFRt0qaCjBOrkT8wJnljqonXNXX6szPL/KNPH+IvPLrt1s/xJtBUhVcnaqyh+8OPQZHxDRUG/toH97Ctkr7+C7cQmqrw8SNDPNoqYfsRfTmT7F2srPphzMVlm/mGS91J/LyqdkDW9hnLWdScCD8IkUKgIolJHBUMVWGxE1C1fUxNsNTpWhnLpMFYAqG0aQURZxbabO/LULN9Li7Z2EHIm9NNDg5n+eD+IRQl0bt53RX+5Q84L4w4Ndfqii8T3dNocW0ni3uRTfvLpwyNDx0c4sRciwvLHfryJlEUU3eClQBwK0ig5YXkTJ1t5cQk7bWJeuLvbRmcWWhx30iBZ47N8++/dQbHi1huezhBhO0LdFXQcHwabrSqmuIEEb/6xZN3LShBUqVcL/BcOtdLz8BrBah9Axl+6aP7N/HM7hxCiBuyPd4Ifhjz0oUqx+eaWJrKI9tLHNjA4M5YSuabLi0voOGEDBUs/DBiuenhugFhFOPFcqXNJ/mbSKIoRtcFC/UO3z23zGzD58pFbt0OUUhcVJExs3UPtVuqrtoer05GxDF87ug0QihYusru/gw/8eSOlaBT7RofXsqPWbpkruHSlzXfERKCTX0cmZrKaDFNrRNgqCpCVbt5oFs/tqUr3D9W5AfuH+J3XpzipQvLZIzEQ3skr/DaZJ1ISv7Dt84y30icKetOopESEiJNQQiuKu8CVLuNmHcaP4x4a7rBXL297msEydZV7bozrmeSpwj4xQ/tuz0neo/y3OlFTs63GMiZhLHkmePzGJpyXRlJHEum6jYXFm1sL8CLZNLaowhqHY8gjtEUgR9JuioCBJJISgq6xtlFm/l2uGYHQwws2SFpTXB8ro2qKIRhRNuNECQ7jDdnEtmHBHKWxtGpOi9eWOZHH9/BfSN5DHV1f50iRNefXfJOGCS8qUFJCBgppXCCiJbjM9vwkptpE47dCWK+fnKJ2aZLywlQFEEMif+0Kmi5Af/9lSlsL6TlhcRxTBxD0LX1UeIYVVVQrghMioBHdpTWe9vbxkLT5Z9/+SRfOTbHsr2+ZMJUIZ8yqNo+YbzaukTruvamDJUndlX4/iOb11Jyr+MGEafm2wwVEu2PpiaapaPTjXWDUtsLee70Iq9O1Dk932ax7dLo+LihJGtpDOZMJts+ihAEcUwUv/238EJQREzLDal21g5Il2OHEsuLyZiCIJaE3YvSMpREnhAnbTMtLyQIJXU74NhMjZYbct9wFlVRsboFFC+IMLVEivJOYJODkmBPf45Tc01em2xg6gqFlI5a865axt4MEji70GG8nCZnaYkhmBCoQqHphJxb7NBwAxw/JJarg48QicG9qSrU3TCxN+m6P/7jTx3ahLPbOHEs+ZPXpnnpYpXqNQKSALKpZLvqhTEpXcENYkIZE4SJ1mZHJUspo/PXnt57zcRoj2sjpeRrJ+apdnwUkSjsG3ZA0w1RhKBu+zh+SNML0ZQkyLndi9pQkweEoSpYmrJh06u0oZCzVJbbESAJo+TaiGQylabtJdexrkAQCyarLvmUyUzd5aHtZZbbiR+WoSns7Mv0Et3rMVpKUe4KwFKayp6+LLWOz1Rjc7ZIQZT45iQKXHCCkJrq86EDfXzj5CJeGK9Yg1x6WqkKaKpIluBCMF6yGMynUFXBtnKaxbbHnii+Y/txJ4g4Od9kselc89rNmwrIxIfc0pVkMgpgSAWbENGtVP3o4+McGStc40jfe1i6yp7BLKfn2wzmTYIopmEHvGcdlXjTDZlveIwUU8zWHU7PtwmixMM9YybNtH4YE8eSUMpkZUTXNlgIAikRYURGqokwcwPbg4G8yYfuG+JrxxOLnjYRbhhzya04jJPdR/LfkrmmTdrQGciajJfTDOZN4jiRxryTHkibfhcmRloaewdy7OrP4kYxD40X2aytbspQSZsaxbROxlTJmCofuW+Qw6MlUoZCWldX5bAEdIWbAkUk+++WG+KGAZauoACn5lucmGvetMXKjaIpsNhwsL31309XINfVVT28vcLhkQKOnyQ3kzyGYFspxccOD/HJ++8NS5c7zfv29nH/WJ7ljocfxjx9YGDdrZvWvanjOGah6dHs5iNNLWkj8YNLwlXRtRu5lEvq+ovLRLKiComhKhu6sXKm1vWmMvFiiUAQhcnfHrpJ9O6KX1FguuZyZqFJywvwwsSqOGWo76iABLdhpaQqSRXFDSKOzzY5u9ih4waMFE2abkDDvfEM06XvXABjRas7QTeNEAofOzzEw+Ml5lseOyoZ5ptud6KJII7lSlDyugZlZlePdmHZZbrqsaPiY6iCnKGyZyB327Uxr03U+GdfPsFLF2pcS05aSuuMldL8+OPj3Dda4AtvzDLXdFnu+GgKPL69yOHRIp84MtwLSOtgairv2dPPe/ZcX4eWMTX2DCR+UReWOxiashKYVEXQCSL6DBXV0rC91f7mtp+Yx6UNFUPTyKcV/MDFuc6lPtN0qbYdzi7aZEwt8aAXSfLc0t4OSEJA3kxSFSlDZaLW4cXzVR7fWcHQFNwgoukEqEriLnCzc/i2CrdFDHJgKEfbCah2AlKaQl8lgyIUCl5AJQgYKaS5sGyTtVQ6bsRM3b0q56QAO/tS/MIH9vK1kwtMVG1296e5f6yMUCClqXzi/uGVsmh/1mRXf5ZnTy8iJSjd51r3IYahgt99GoVS4vohUhOcW7aZrDucW+pw30iRw7dpG9RxA/71107zW9+5iNM1PlpvlW+q8NS+AX7hg3vY0X2y/9CjGmPlNC9eqJKzNMoZkwe2FdnZt7Uaku9lHttZ5q3pBh03xI+TKzJZPYsV19BSRiOWMZ3urMBL02YUkpWSFMkKljhmtulfZb53OTN1h9cmG7hh0m93adhCECYmerKrFTFUhXxKp5wxSRsqU1WXVydqBJHk/m35Fa/1esejavvsrGTY0Zclf49ONr4tQSln6TwwXuT8Uoea7dPxI8rZiOWOSxwrzDVdSlmT/qyBH8SUswanZlt43cePqcFjOyr8xBPbObvU4cFtRXb1p1GUJIl4aKTAYsvrjlxKMDSFh8eL/PZ3BLqa2D+Iy5LdkUy2bqoKvpe4NQokcRyhCpXljsu3zy0xXDRJG8nTZrP8bKarHf7VM6f549emVw1QkKwOTGkVRkoWpYxFxtQoXNYvN1JM8eceHuPTD47SdIOVpXuPzaNhB7hhhB/FBIFEVQWqohJGMdvKaUxV4AcxQZRsscLL8paxTBqizyx2mKw5VDLadfs9HV8y03BAJlXhIIrxo6Sqp4QSoQrCWGKHEU7kkVyxBrFMxo/NNR20GcFoIcVsw2G67iLjmFPzLZbaPg+OFylvYCLPVuO2yWbThsZQMUUupfPShSqVnIEfpGn7MUEcU0rrBKFEUQWP76iwdyBHX8bgid0V9g1mqdoBX3xznk5X1eoEEYdHC0kVJEicGa/8m9cdn8F8ijCMqbsS2Z1fq3PZ3hy4pJF2uzOL7CDE9kL++JUJTs42ODxS4OBInn2DeUoZY6Uf6/hMk4tVm6ypcWS0cF2xX8cN+F+/cIwvvTlPtbP2iCkJmArkUhr7B/P0Zw1UVSWXUpmq2VeNDFIUcUc8k76XWGp7vD5R5xsn5/nGyTkaToQqFII4RhUKRneIaRBL/JWrSlw1HRmSa8wNYqrt8LoVZwl4fkzN9Ym6co+V5LkCXvi2VMAJYs4t2QwHEWOlFCfnmhTTBoaiMJS3mG26pHQFXdWJZNLdMFm1yVs6HT9CEYkH2b2w1b9tQSlRomZ5fapGpXtjNy2dMA6oNjxaTkApnVjFzjUcxsppfvjRbfRlTKodjzdnGpQzifuekTN4fbLBQtPBNDRaTkDKUClesTytdRIb2isbUgOSvEDR0siYKrYfcnnzRgx0QphveAzkPF6fqjPTcPjc67OoioJlKEgJxYzOnv4cE8sdvn1miSd3V3h4e5lyxqDthdRtH0NTqGSSMeH/6HPH+OrxORw/XrcYI0mOe2Aox7ZShiCGjKEwkLM25KwgZSIK/MOXp4hjybv39PHhg4NsK99brSZ3i4nlDn/86jQzNZs3ZhostkPCUKIoic5N12IiVcUJQhRFwVBEMgTgGvkiCdgb6GKQwLIdrlyJkmS2n6ZAEMurhrdKkqrywaEcDTeglDGIZMzx2SYXl9qYhkpa09heSaMqycip1ybrxF31ecbU2DeY2/I5p9vaYLRvMEsprfN1ucDx2SaWLhAZHVVAy4+wg7A7slqwqz/D2fkWL9pV2m7I2aUW948WWWx5aIrGaNGiZoeMWhoDOZODI4VVJXzHj/g33zizZoe8lgxfBQn6tUzsZYzrR7y2XGeqa5w2UjAZLqQ4u9hGVxUe2V5iqJAikpITc23qTsievjRnlzoIRdCwAwQwnDf59tklZCwJrjEaeCRn8Nc/tAcvksw2XMoZg3zKQFVgWzmNF0Ystb2VCSJXPul++TNH+cwr0/hRojJ+/lyVyarDzz21a8vbBt9tZuo2v/X8BRZbPifmGsw23EQnRLI1A4hCyKqScsYibSRbuTOLnRuav3ct1jyGTNq2oji8amBoJCWTNZcwjrl/JI+mKARdh9OOE0L3T+4GEX4YkS3opFLJNd+wfeaaDuPlDFuZ2xqULvUzffL+ES4ud1ju+PRlTPYOZDm10GaqaoMimKza/J/fvkA5bfDU/n62VdJM1mzOL3W4bzjPdN0hkvCJ+4d5clcFc40K2T/78klm6s6a5yGBfEonY2ocGslT67i4foSqJi0wl0KG1U18L7WDlYtlsuYyWXvbTO1Pj85xcCjHYztL1FouL55b4uRim3JKx9IEEYKmE9DxAqqd5KJSlaRV5MoLrJxS+eRDI3zg4BCTNZuGGzHbdImk5GOHhml7If/pufNMVDuEsWRPf4afevdOyl2blgtLyVPe7wa9MJY4fsSb03WOTjd6QekaRLHku+ertNyQmpMMOG27bz/QVFjZfo0ULLKmStpQObeYXGO3UzySaPCu9s7SFMGuvhSaIhjOpwjjxCVzd1+WIJbdbWDSIvPwtjJNL1iVd0ybGjU7YLx8G09+E7gjrdgZU2NnfxYJDOYsHD9iue3TciOCyEVXFeabHkttHwT84ENj7B/K8dpknZYXMphP8fiuMo+Ml9fVZHzu6OyafW2QlFTjWHJoJEcla7G9nMIOOgRRYjuh0NWbaCpzjeCaF5wEjs21OLXQRkq5EmjmGolvTkpLAp2qJgeVMhF5Xro0BEmStD9ncN9Igf6MRSSTnMETu0qcW+qw1PR58VyV6abDxWqHjK5iGSrnFtv8y6+eIm/pLLSS701TBJfPuY2kZL7pXXN11iPptE88u2OCMCZjaCzydt7vUkBSFWi4IUU3pOEESJLOAO82fr+RhCCUjBYtFlp+0tOmCB4Yy5MxFISUeFFM0w2o2R4vXawykE0xWDDpuBGllMGh0TxHp5or7hkAXhCTT219R9I7doaP7ShzfCaxPfXDKLF0iGPcQNDxYixNYHsR55fa/I9Xp/jBh8Y4PFrgvXv7KKYMimn9mkm6Ykpn7gp7WEiCQCmtM5hP8a6dfYSRpOXkyFsWZxab1O0IQUR/1sSL127YXYtwjRcmuYTu+8bJ1BaAEEABS0meVjvKaR7ZXqGcNZhtOpyeb2GqCt86tYQTRGiK4Oxym3PzLepuRBwnE2A7XkDtMrO3tb4NTREMFUwODfcU3tdiruHye9+d4NxSMogiiuRVeT9BIiUJQkk+rWF7EWNFiyAIaXvXVuPfKpeEmz/3vh3s6M+SNRSeP1ej4QSYuoKQcHquzSuTNRpuiEKDrKnw5O4+FtseQgi296U5NdfG8ZOLUgjBaHHr5xrvWFDaUcnwQw+P8vJEndmakzxtgoiljo8qki+s7YfU3JDpusfR6Sb/4Afu27AO5298eB9/8/deW/E1FkA+pfHe3X0cGM6yvZLB1JJh3sVMP5M1h52DGTQEo6U0ewezfOHoLL/1wuSmfF5J0gxcTAlioXJgKIcfSdK6ynAxxUDBApmMkW7YAZO1DhPLHVCg44Y03ZBT8200TRBGEje4+qa5dFNcUqoLkXhG/c0P72P8HvNUupPUbZ9f/J1XOTnfXvPhcglFJKtoTRXUOwFP7qnQl9aJ4piZlkf7RueE3QBSQr3tcWGpw1LHR1MFE8sOhZRGGIHthXzz9CLOihBK4oQxf/LGHMdmm3z6wTH6ciZHxgo0nQAhEq/yrZ7khjsYlAAOjRYZKqT40ltzbCun+P2Xp2jYybSPRKPx9mtrdsCvfO44HzsyvKFxPh87PISuPsSvff0MLTfkhx8e5WfetwutK0Jzgxi3202dNjVabkDbDdE1hbylE0vJ77147YC0Vl5oLcRl/x1Ekh0DKd69u4KpqRyfayXqXTfA9iPetbOMF0Q03QAviunYSU+boSrESNqevO7qTVfgb338ILoqODyavyeehneTo1MNTsy2iK5T3owl6JqGIOlXrKQNQplcp6WUju15m+KAsRYh0PRiXrxYY3d/lkI6Gc+10PKSJLYfXRaQVnNm0eZd//Sr/OQT2/mFp3czWLi3cot3fIMphCBr6jSdgEPDBQqWzsn5Fostb9XrJImh/LfPLPPBAwMbOvaHDg7yoYODa75nylgtNsxZ+ioT+SiWeOG1lSUZQ6ETyKvmgF2OAqQNUEUi4NwzmOcffPoQh0ZKqIrg3EKblyeqCAS7+pMO//OLHR4eL3FmIfHXKaQ0pupOUgHaQBD0oqRhc6Hl8/UTiwA8sauyahx3j7fp+CFig+Uzxw9xAoGpqXzutWlSVjLtOKWLxJbnNqbughgWWz6K6HB4pICiKgRdb6fF9rUb3KNY8n8+f4ETsw3+3g8c4sBQ/p7pkbvja7mcpaGpgqW2x3Axxbv39PH+fZU1vzAhYL55dZ5os3GDiP/tC8f49tnqNV/X9mP2DmTQutM2LiEAQ4G8pTCU09lWTLN/OM9TBwb4Gx/Zx/1j5RV1+Hglzbt29vHw9hKljI4XxBTTOnsGc+wfzFPMGHhBktxS2bgX1a9+6RSjxRRjpTTDhRTfObdM7S6Z1211nthVwdSvf+nrKiiKCgJafsBc28fUVGpOiKlrlDO395kugVAmJoSnFlpkTQU3CJFSkjauf/6xhDemG/zqF0/wxTdniTeaML3L3PGVkq4qPLq9xES1w1TVoZDSuX+0zMVlhxfO1656/UcPXb3yuRVsPxGUTVZtCimdB8cK/NLvv87z56rXf3DKxGL1xx/fxtn5JtN1l5Yfoko4MJJltJTh4pJNLq0xXs7w+I4Kj+1cvVrRVIXRUgrHT0ZFW7pKreNTtwOe3F3hO2eXaTgBxZTO+aU23vW6Ort4Xd/nfYO5bhe7oGb7VynCeyS5lX/z4w/zV//rK4RRTBhLFJF0IXhBhBASTVWxdBVdVah1PBwvppJJZAFZU2W+maiwNcE1+9s2Ay+ULDQ9ZusOqiKodQL8IMLUWNPb/XKCKGam6fA/Xp9h31COPQNbZxzZeohr2XUIIeTtsvNouwFfPb6A3b05ax2f3/nuZLIyEoAU/J1PHOCn37d5kzniWPKZV6d4a7qBF0QEkeSFcwtM1Dc+/mkga7CrL0M2pRGFMV6c+PS4fsS+wTzv29vHE3v66MuaG26IlFLS9kLabkDTCTk6VePrJxc5OdfizJK9oWMI4IcfGeOxHWWiWDLbcPip9+y8Y2OK7kWCKObodIO8qbFse7x8oY6qSL7w5jzVtt99cCTbPUMRlLMG1U6wItDVBJTTCtVOzK2PW10fBcgYgqFCipSu0nYDgljScX2q7rXvz4wOKdOgYftUsgbbKxn2Deb46ffuYkff3RNRCiGQUq65n7xrQQmSfe/rkzVemaiRM3UUkYwAr2RNPnLfIP25zU3QTddsfvkzr9PqeLw517lmq8B6jJct+jPWSjVDVQR+GLLU8tg1kOUnn9zJQ+OlW9q/H5tp8ievTvLZ12eYbm58C/bxQ4PsGUyehE/sqvCeXk7pholjyb/7xhmeOb5AtePhdk0DnSBKJt5ecdEoJDd+O7i9gsqcDvuHC5QzJh3f5+Jih8V2wM0UAAVJA/v/44N7+PiRobuyerpWULqrSqpYSqZqDrv7cysjZDRVYf9QHhB8++wSYRSzsy/DWCl9S82EU7UOP/Rvn2f+ioT6jR/H5aGxAsdmWyAkhppkfjRN4dBwnh19mVtOKNY6PrqqkLpBb6dSRuWpff1sK6d7au6bRFEEP/au7YmPkSKYWGpzbrFDMa3zTLeIcDkxoGkqVhwRSVa5QGwmTgRhFGPq4AYKLS+4qjduo0gSR4N//pVT/Ouvn+HHHtvGP/r04U0931vhrooW3CAijOSqmVZpQ+PsYotnjs+z2PJoOiHPnl7i5Hzrlt7rx379hVsOSJdYaCeGWh0vouWF1O2Q/YM5Do4WN2UCr64J5lseaVNjA/nMFb55qoqUcS8g3SLljMGPPL6N/QNZVEVh90D2msMlBnIWoyWLB7blyem3p8IVxTDdcHhrssGb0zUaHre8ZZQkOdLffXGS1ybrm3CWm8NdXSmlDQ1DT5zzLjk+trwAP4jJpbTL5lopHJtusncgd1MeR/NNl6na2n1xN0osoekEPLGrwkDWYKrhkTEU+nIW948WNsXne0clk3SJSzBUgb/BqknTCfi33zjHX1NVHhov0fFC3pppsNh15dw/lHtHzAW7EwzkLD5yaIiBvMlnX5/h1Yn6uq+NJfRlE9M9VSicmG9Rv4Ex6xtBFeAHEldJfObTqsTepLcIomQ+3oPbiptzwFvkrgYlVRE8ur3E892KkyQxr2p3J0Zc/rpkpI3ccFAKophf/9Y5PvPKFGlD27T9vqoIHhgr8t59/VS6BlpSJpoqa5NM1/pzJk/srDBbt+nPm7jL7nWfioKkn+vlC1X+p99/jR95bIxvnVomiGJGSymKKZ2Hxkt89PAQUnJXR2LfC8SxpO0F9OdMdg9k+dJb8+u+drruYGhpTi100LtdA5fkHJt13YUS/CjCiAX9uRQ14WB3NmevqCqCHZWt4xxw17vzhgopPn5kmGo3j1LJGJxaaPHqxRqD3Zldy52AkWLqhiTyf/13X+Urx+YTi9FNQJC0Hfzww6M8savCUsujlDZQRDJ5t5I1NqQ839B7CcEHDwwwVbM5Mdug4/gs2Ne+ACUQRWDHEeeXbH71C6fIWhr5lE4QS0opnW+eWuKXfv91AJ7a38+/+JEHyVv3pmXq7SSOE0dIP4hRVcGj28scHF5gqu6s6XFlBzFNN6Taaa5s6yNWOw1sBl4IdEc+bdJlDcBAzuSh7cXNO+Atclerb+sRxZJXJ2qcXUwmxw7mLN61q7Jh+9eltscT/+tXr9nXdKNkNBguZjB1haylk9IUjmwrcHikSH/e5L7h/KauPqSUnFls8/XjC7w6scwzxxfXrRZq3fYXtTtos2sdha5CWtfIWhqxTLaxl74SQxU8fWCAf/8Tj27aOb9TsP2Q2bpL1tJw/IiGE3Byrsnf/szRdVt+TE3BUBOH0q4xKrDhEXAbxlCSiT4dN9o0GcJv/MSjmIbC9nKa8Tu0Ytqy1bf1UBXBozvKHB4tEEtJ2rix02zY/nX7mm6UUIKhJwbufhgjDJWOF7KtnOK+kaQj3/Ej6o6PqgjKaeOW8jdCCPYO5OjPmjw8XiSja/zha7NXvS6lJhXLtp94aQqRPKGDrmWK7Yd0vERvc/k34keSrxxfuKEt8fcKyYju5O85VbMxNZX+nEFfRme5E6y5SomlRFUV5BrSAAFkdEEhYzDf8G5KbHlppR7FoBCtjHe61at8V1+akVKKWEomazZDhRvbkdwOtmRQgmSloCoCS73x1Ufa1Db9CZUztRXnwYYdMN90abkB2ytZ9gzkqNs+L1+sJTa7Mumte3xn+ZZXT8W0waM7KwwVLE7Mt5ioOsRSImRibF9KG4yV0rxwvoqmQIzA7171b8+5X/u7UMTa9iff6xiaShxDw/EwteTh8+W35okkWJqSDIy84gvVFJE8DNawsBVAxtKwFDA0QRjc+JUpYWXr2HA33n50LTQF/m/v3gkkLhMg8KO4F5TWYqZu8/LFGrYf0Zc1eXR7mUJ647mPKJbs6stwZrGzaeek6yotN8QPY1pegBvESCn5+ol5hvImQRwjY9C0ZDXVcgMuLtvsH7q+ME1KeV0NVl/O4oHxImEkWep4RJHEDSKqdsADYxo7+jOcX7JXDKEUuuZ2MrkpTDVp3L2EpSn8+UfG7pkmzTuJpatUsgbTdRspJd84uUgQxeyqZLlQ7SBEiN31XddVQUpXEUha7tobKiGSns+OF6EqCgrRTQWVzZZAPTz+9kixIIxRFXHD2rjbwZarDzfsgGdPL6GpCoN5i44X8s1TC4Q3oBQbzFs8savMZt1vmoCMobLU8phvOrS9iJyZXLhOEHNyrsmfnV7i9EKbE7NNXrpYJZKSavvauigvjDg51+TbZ5d46UJ1ZTb8Wli6yvfdN0wQy2S8kq6StTQ0Aa9M1pCR7A5GULA0gakJdCXJHWUsFVUIMoaCrgpMLRni+Q9/4NDmfEHvQIppg0PDhZUt8Xgli6ErPLStxHgpQzmjcWAwwwf39VPuDsZYL2NgaQqmqiIRFFPqllieaorgLzy6DduLqNk+dhCyfzC7JbbyW26lNNNwUMTbETuf0plvulQ7/pojjZbbHhNVG0XAjkriO6OrCj/6+HZeOL/MdM3BDa/vSbQeKknCeFspTRQnpmBZU2W0lGYgZ1KzfeabLl4UkbU0DDXRXb013eRTD4yse1wpJSfmWtheRDFlEEaSYzNNHhgvrlsR29WfZd9ghrqdmHYtdXyqTY+6HRLEIapIfJhKGRVNETTcpKM8lslKr5wx2N2f5d27K+Rv8yTVyarNP/zsW7x0ocaOSpq/98n7eHTHFjeHvoJy1mCkkCKIk9LBoZE8E1WHIJbkUjoZU6fuBAzmTWIpGS1YnFu2r2pFCWPJsbmkaLNV+vQtXeVTD44RxjFBJEkb6ioR891ka5zFZWjK1U8cKVlzmzGx3OFPj85ycq7FsZkmnzs6s+LLdHi0wM++bzfjlQwHhrIM529uKF/aUNBUlXxa58ldfQwWLIYLaUS3UTNn6bhBzEPbyjh+RM1JBhpKmQyQXA8niGg7IYVUYvOra8l8scXW+lYtOUtjuJBhpJhiRyWDgiCIJbIriInixLu57gS0vYhtxfRKQ24prTOYs1AEFFI6+m0MSG4Q8alfe46vHV+g4QS8PtXgL/3GC7w2cbULxFZGCMG+oTwPbyvhR5LRYpqhgsl8y+XissOrk3VOL7RBCvYOZHn//gHevbvMeDmFqSmYmkJKV5LJudyZgHTlXzXxjRdoSuI3bmkKlqbwjz99iLYXYmpqcj1skYAEW3ClNFJMcXS6Qd32SRsaDSegnDEoXzGAUUrJSxM1SmljJZncdAJen6rz4a7R259/eIxiSuf5c8tJFU/X+HffOrfhc9FEMuoGIfHDmKyp8ej2IrVOwFzDISs0ShmdI6MF8pbBeDlN2wvxwpicqZGz1v96xRrDDJNx4+tfHMXutJc/emWKpZqHF4ToukrHCQi7uSNFUTC1pILkhCG7+7PsHxRUbR9FwOHhPC035L17+zf8PVyPL745y7/86mnqdsAH9/czU3eo2audF9ww5p9+4QT/8/ft59EdpXtiKOIlPnH/MC+dr/LZN2b4wptztNy3Z7XVnYD5lssnH9jFcMGi1vHZUcmSNlUmlm0++8bVFdPbRVoXRLEk7E7oESQDLHRVYTivkzaTydWP76gQxjFfP7FAxlR5clffDeVsbzdbLihlTI2nDwzw5kyTWsdnV3+W+4avds2LYonthuQu29KlDJW6/XZXvaYqPHVggCPbirh+hBtE/OZz53A3mJ7KWckKSQBtN+TxHWV2lDO8NdegL2fw4FiJ9+7tI2vpfPvsEnUn6JrNKzy8/do3XspItlM12ydvJTKDUEr6r7Oie/++fsZKKZ4/vcDzFxQmFluc95MBirGEIIqI4mTixs5Kin2DWSq5FDXbx9RE9/sssH2TPLy/9NZc1xs9+VJ/57vrWwrPNRxevFBleyV93enCd5Mwimm5QSK8lZKzS21enapxeqFN84pktpQw23Co2z7nl9rsH87x2I4yJ+ZaLLYSQbC3gcGUt4qhgCoEoZRoKshu4kqIpLfU0DV0TaGUTracu/sT7/uWG/DSxSpPHxjYMg+KLReUIFkRvPc6thuaqjBSTLHU9le2KDXbZ+8VNgyGqlBKG0SWRJHdLusN9uXuH8pxZLSIHUQ8tr3MfNPhhYtVxooWT+ysoCgKQggypsZT+wZY7nhEsaSSMTck9Nw7mGOq6rDY9rB0hT2DBbLmtf8kQgh2D+TYPZCjlDH4j8/ZpHSBF0hCCVoMhqFQTutM1DxGihE/8/4RUoZ2W1pL/uUzp1flUK61RdHVZMbfevnBu0EcS6ZqNmcX22iq4PWJBs+cmGcon+KJXWW+dmKeqarNYifAXsdRzY8k//prZ1CVJEj9T9+3Dz+KeX2yTn/WYKp+9ZY8awgQAl1A3Y1vemsnSHKemhDoqkIsIZIxUiaDxcMIWl4yEXrvQJZjM00+dPDttELO0plrODh+RPo6196dYmucxU3y2M4yXz+5wFzDQYqkifLI2NujhYIoZrpuM1NzsP2IqWoHf4P2RMWUYEc5SyVn8qGxEn4Yc2quRRRFeEFEzQ4YLqaYb3kM5C0MTWG4sH4OaS10VWFnf4ad/TemopVSEseSlhfTn7MYK6Y5v9Th/LJNGEPB0hgspJFSstTxabohpczN5dTWYrnt8d1zy3zr9CLnlzYmu1BIcmJzTXfD5ne3kyCKOTbd4I9fneaNqSTXdWqhQ8dLhImKaPDM8Xn2DGQIY5nok3yRfPdXHEtKkoGgXcnFr37pJA+PF1dGua/9/onrqFBAU+IkJyjXLvubWrIti+I1hJkC+jIGbhhTyRi0/Yhqy0OIJA+rI9G1JHD1ZQ3yKZPJmsP2SpYginljss7RmTqn5ls8ubvC+/f2o97l/NI9HZRyls4nj4x08yWC0hWz4Wq2z0IjmYGVsTTOLzY33DO0ZyDPX/ngboJYstTyabo+GUvD0JJeMj+KWW57K9Nq7wRLLY+pmoMfReRNjU4QUkob1O0QXVewdBXHjxCXqnBpnayVaKY2C9sP+crxeU7ONTk13yatC5wrDr+WWLNgad1tQ+6uW6s03YBn3pzj2bNLHJ9t0LQDGm5I5zIzpFgmKu2lto/VbSFRleTnSvffle6w0asvKYEdRNRtf92tWxCDHsfEUqCpCnEco7BaS6aIZJ6hoQmCrsGcfUVlTxWCtKFQyZpoqmC546MoAkUIVBXcGAxVZbSQpj9rsWcgx+mFNottl7emm7w6UWO8kiaIYv7olSkcP+IT969fNb4T3NNBCZKnQd86gaHlhARRTNbSmW3ayRNtA8dMafCBfQOMFlOcW+rgRyFBmDgYzNRtCmmdMIxZDDwODOc39wOtQ9MNOL3QIp/SSRnJNBhdTSa1ukFIJWPi+jGLLZ/BQrJ91FSFgbxBX3bzgsBsPVnqz9ZddIWVOXuXk9JFt0E4WVVkdcFAwaKcMfjooUGU7sTiOy3cjKKIP3hpmv/2wgXOLCaj0JGSjKWvDIO4MsC4QURaV9B1FdNTiGWEKkSi99JVmk6Id8WTLpISlaQxd71skiKSeXKqomAAtU7icFmwVJwgUVU/vqPMeCXF+aUOy60ATYG6G7LQ7WEspTX2DmQoZSxGiilevlglY2gU00bSWhRD1oBt5TRj5TSljEk5Y/D0wQHKGYNnTy+xdzDLYD5Z4euqwvPnlnn64OBddZG454KS7Yccm2kyXXeoZAyOjBbXrRxYhpIsiWVSNreDGBO4XkrpyGiBH3/XdjRNZaiQYrJqI5HEXQM1O4hxwog9AzkGcndmpbTY8laM7AEKaYPt5RRzjRTn5tq4YUwmpbF/KEPHjwmimB2VNE/srjB4k3KI9QijGE0RXKjaOEEy+vzy21IRMFZOk9EVhKKgCYETSKI45uJyhy8cnSWKJZqqkNZV/Cgma6mMFFJYmspEzablBRQsg7Fymv6suSlunn/vv7/OV48v4oZvq94RSdU2ZypXBSRNEQzkTFSRVC8NTaWUMbD9pJRuaiqGpjJTd1cNBj0ymlQ4r5XejuNkjLahSdpuvPJaP4wpWiqKqjJYMCmkDCrZkHLGZHK5QyVjkDFUskZyvkOFFPsH83iRpJQyqGRNdvVleGu6wcVqh7YfsdR0EYrA0hPZyQ89PEYpY1BI6Wgi2RoutV1aboSpiVX+ZneDeyooRbHkaycWaDoBhZTOTN1lpj7HJx8YXrNpt5IxmTddltseqkjGLw8XDWYaPv4627jtFYv7RgorU0DyKZ37RgpMVG2W2h6xjKlkVbaV0+zqz96xisVa96Spa9w3lGe5q83Kpgx0TUAEj+6s8NiOG2vP2QjDxRQZQ+XFizXmu/7hl75KUwGUJLeXMZJRWkP5FDN1h44fYGg6r16s8e1zywznUnT8RNxZyhhYuoIQ0OmaTgeRJGMKBnIW+wZyHBgpkDE1Urp6w43OfhjzJ69N853z9WTqrQKim8NRSZqtW168MplEVQSKgIfHS/zjTx3ixFyTxbaPqQqGiykiKTk52+KtmSYn55vsHcjgR5KmE9CXNXl6fz//8dnz1zwnRYATyqsGSrqhJAhDECEnp1v07TOREiarHWodHykT878gUmh7ER0vYryS2B/rmsDUNC5WbU4ttKnbPkIICoZGydLY0ZdleznD+aUOA/mk0ftzR2dYbvl0vAg/iOjPm7x6scYH15ifeKe4p4LSUtuj1vFXEsqmpjLXdJmpOSuG+Zdj6SqHRwsstlwaTsBHDg/TdAMQLWqdgI7/tqWorghGSybD+fRVT8yhgrXSzxZ2t4M5S7+jkvz+nMV800NVInRVoeUGpHSVtKmzsz9Lww5pOAHPnqqy3Al4ZbJO2wt4167KDSfgr0Xa0MiYOgvNq9ebQQxZXeHAUI6mE5FPaxhaslrNWxppXUMiiGOoOQF5S2Wi6rCjP0MQwXLLo+0FDORNKlmTk/MtWk7EhUWHN6cb7B3MMVSw2D+Ux7oB54imG3BuqY0ANFWFKERRBFEkVzr2LV2Qt3SylsF4OcXPP7Wbx3ZWANi/xhb9fXv7aTkBkzWbE3NN/DCpug7kTU4vtMlZSX5vPUcAXYNoDUcBSXJN6sBMw2ay1iFvJQMqWl6I70eoqqDhJNtRzw/5/GszyUNUUdCUkAtLHRw/JGfqSCmZa/ukTRdrusF9w3laXkjHj/jYoWGeP7vE2fkOOUtntJhiR1+aly7WeGC8dNcm4dxTQSmKr25cFUBwjTGlhqYyWsowWoI9/TnqjsefnVKZqdnU3AjbD5EScimdgayBqSnsqGRWvc+lsn/mLpZMs6bGwaEc03UHN4gYKlhkTQ0vjBkrpxkuxPzK509Q7fjEMhlg+MpEnQ8fGOCTDwzx0UMjG1JxSylpOAF+FFNKG6uUvmEU81vfvsCvfe30miXsGNg/mGO4lMaP2iy3feI4ZrntktJUDE3BbsdkDAUviojQUAR4fowQAj9OgkUYJ+dvKAIniMiYEEhJ1fbRNYXTi22OjBY3/N2pQlBIJ6sxBUnbh7CrslYATYVSxmSskKKUMdjVn+WR7dduiVG6xxwspHhgW4kgipPGXCHY2ZflzakGX3xzlla3mnc5pgKmqhJHEWG8thGcqoAbxbw+1eDwcJ5SSqeTM1loudTtEEWBOIJWELHs2Fiaw86yhaEZBJFkIJ/CCxJtnpQw03SQQvDi+WUODhcShwiRyFJShoapqth+SBBJXD+g44W9oLQR+rImppasEpL2jgiJZKSwMSGgoas8vW8IP5S8NqFiNF38KKbRCfDCGC+MGa8YvH//5qmdN5NC2qBwmbI9jGIsTaWcNvmzM0tJHqN7B0iSnqtvnV5kstpGFfDx+8euefzZusPvfneCqbqdJNR1tdsjp3JgKMdiy+G/vHCRmrO+vdhgwSSjq2RMnX2DeRqOTxy38GJJ1tSZrNkEocr2SoYwTFZ9XBL4qSqqSOreHT8EAYEfkc5ZlDMmXhBTSBksND2i4fV9oK50XcindB7eVuKFs8tM1RzSWkTLT6pdmgK6otBxI6ZxUFSFieUO6+3KvTDi2dNLnFlIetn6MgZtL+T1qTqltMGnHhjhvpE8D24rMFXrcGKuRcMJV6q+mkh8uS75Wyki+c+VliduBEoo8YOYU/Mdjozl6MsaTNcdhEj6AS53QHFDyfEFh/GixPZDRgsWLTfoWqdIDKGQMVVen2qQs5LvcDBv0p81OTbdpNrpJN93KAmlJLyd88ivwz0VlAxN4ekDA3zn/DJzTYe0qfGB/QM3lDcZ6C7/nz29RFpT0ISCkVORMiZrafzgQ2PsqGRv46fYPDRVYddAlovLHdwwIljDScEOYs4vdvi1r5/jgweG1t32zNQdfv2bZ5hruuRMnVcu1mg5AWOlNI/uLPPts0u8cmGZhn1teYGlaVSyJvuGcsw2XabrDnsGsrTcAEVJZBt+mPiGB1KStXS8QFJIa+w2s7T9oDvV1cdUFPqLFoWUjoyTrWMUS1K6mpiqXdFu33YD/vDlSV66UKM/b/Kp+0d5aHsJVRE8uadCxlT50ltzzDUcjs00sYOIhZZPFMYEcYyhCWYbDsXU+rfFi+ernJ5vM1QwqbU9/tNz55ip2eiaShRLnj21wC9/4j4+sH8QJ4jZM5Bjpu7QdnwW2j4IaHsRUSzJmhphGNL01jbNvbQKrnd8JmsOj24vcaFqI2OPtr+2UHW26VLK6InZoIBOEGNoKjsGssQxVDIGu/rSeEHMRNXm0fESn3tjhroTYGgKqiI4MlrgxGyLnX135z64p4ISQCVr8onDw/hRjK4oN1yV0VSFR7eXef7MMlXbp+kGaEKgaSr7BjM8sauy4VyRGyRP+rtp95A1Ne4bzvMlQ13XCSEgGcR5drHFodGrRwXN1h3+8OVJXp9MJp+4QdepMpY4QUzWVDmzZHN2sZOY760zqlpXoe2HXdGqQ8ZMXBOGihaH00UGCyZhHLPY8vjk/aNkLY1CKjHkc8OkUz2KY5bbPjXHZbbu4fkREzUHJwgZK1u4YcRYKb2yrby03ZyrO/z9z77Jydk2igIpTePNyQa/8ueOcGA4j6mpPLazwmM7K/zZmSV+4j+9sOr7klESBHb1mRTSxroFjONzLQZyBqfmmnzu9RlmGh4SKCgKaVNjoe3zH751jv/4k4/w1L5+zi6l+SefP8ZU1UFRBLv702wvm283RUcxxxdbXFi6WvUtgeFCirSuUu34PDhe4sRsk9edkEiuvVoN4qTp9uBwjvmmT9YKOTSSQ1c1gjBiT7c4M9twcIKI8UqKtKExXlax/YhS2mCkYLF0Hdud28k9F5QgyfHcikm/qau8Z28fx2eaVLImYSypdjw+eGBgQ5Wdlhvw3OklpusOuqrwyPYSh0byd613yAtjvnOuiqUK3DXUoUJCEEtaa7RJxLHk+XNLvHB2meNzTcJIIrr5hiiGphfxhbcWVj2V11vYG4qCpansHMgy33AJopi0qbLc9tlR0ZKqUSh5bEeZgyOrk8eXlynyKYOdZLGHQpbbHnvsgDCMMbseUpfcF/ww5sRsg2NzLb5zZpFXLtRXTO1aSki14/Jvv3aav/epQ6umLf/ql05eFcATowWJrqk8cFlXwJWkNJW5psNvPz9B2397hdPxQlJGMqdvruHid1dff/P3XsPuvi6KJecWbX70sTGGChbnFzs4UrKrlGFi2b3qnBQBz59NvMXuG84RhDH3jRZ4Y6qBqbBmD6cqEgGmrqv8m7/0CF8/Oc+xmRamqmDpBvmUzkLLQxHJQ/X8YpvBQqLytoOI2rLNxarDe/ZWNmQ+eDu4J4PSZvDojjKaqnBiroWuCN67t2+lSfFaSCn56vF5Gk7IUN4ijCXPnVmikNLZVr5+bssLI84tdKjaPqPFFOPl9C1rcFpuiO2HpE0N6QVcuRuIJWRMle3lDHEsaTo+Cy0XKRPr4N987gJvzjTfDjw32IiliiQ3U8qY3DeSYzhvMZy3aLoh28ppTs+3GC+niCRkTZWHr5NEvkTa0EiXNbaVkxs6lqsHl07WbJY7Hm034Funl1dWbwpJQA2BL7w1x/Pnl7lvOM+PPTbO+/cPcK47kOJKUnqSO3v/voF1z+nRHSV+6je/uyogQTIZt+MFqKpCfy7xZz85d/X7hLHklYk6D24rYhkqx2YanJjvrPrKL10NpqYQxhJTS3RqXz2xSMHSMXUNP5aIMMa5wlp3IGeiaQrzDY/XJxs8Ml7mwweHaHsh01WHt6br+JHEDpLtvhtE5C2N6aqDoQrcIMbSFdpuwHzTY6hw59X37/igFEZxIr0XgkrGWAkAuqrw2I4yj92g8VjTCVlqewx3k+u6KsiZGqfmW9cNSl4Y8dnXE88nQ1N4bbLGgaE8H1pDE+IGEW/NNLm41KE/nww6vGT+ttT2eOlCjbFSikMjeXKWRiFl0HLDpM2E1Q2eoUx6vV45X2W0nOHkfLIiMjXBctvj6Ezzhr4DSILLzkqKqh3ghzFDOYv/+WP7abgh9a5ep5wxyJiJX8+2UtKLV7jMauZGUBWxKofU8UJem6hxdrHFf/6zCezLlOWXLyCCGBbbAd88vczJuTYfPV/l/rECz51ZXnV8AYwWU/ylJ7Zf0wdr32B23UnLTTdiIKfxsUND5C0dS1ev0pcJki33+/b28Wdnljg+f3XvoKpAX0YnZ5mYukLO0rD9kPmmx3gl8Wpqewp9GY22F1JzIlQBu/szqKqS2NYESWX56HSDwbzFA2NF2k7IRNXGDUIsQydlqLwxVadgGaiqYLaZ9MzpismxmSZnFlu9oLTZ1G2frxyfp921m+jLmnz44OCGRzWthaomBuuXL22jWG7IxXFi2Wah6TFaSi56KSUn51s8sK24qlVGSsmfHp1lsmZTTBnMTbmcnm/xgf0D/KtnTvMnb8ygCIEQ8OC2Iv/lZ97Fxw8P89k3prG9JEhcmTr1Ask//Pwxnt7bTzFr0HR8hgop/ut3p274OxDAk7sqlNMGVdunlNZ5ZHuRbeUMZtNFikRBLQChwIGh/Mq0483ADSJemagxXe3w316YXBWQrkWt4/HCuWX+ygf28PLFGm6YVPoksLMvzWM7ytd1L5iq2+va3mYMhdGSxcePjKAogg/s70dXFYSIVn7H1BV++r07qdk+L5yrrnkcKSFjGsQk1sd12yeOJUIEnJxtk0slw1XVrtl/xki2xgiBjCVeGPHESIW6E2BpCs+eWeQbpxa4sNhhomqTNRTGK1lqnQA/lFQ7PheXO7S6q79aJ6Avo/PGZJ337rnzleh3dFD69tllwkiuiAfnmy5vTNV5167KTR8za2rs6s9wZr5NOWvihzFeFHNg6Po9cHU7QFdX658UBLYXwWU7x/mmx1TNZqyYXnnPE3NN/sVXTvL5o3MrzaIAr07U+e1vX+AvPrEDRYF///XTXD4RTJBsrTRF4AURf/TqzErOKGsI6t6Nm2aYKhwYyjBWzjBdc4mjCC+QNOyAgbzFtnKaphMQS0k+pW/akM5LLDRdgjDm3FKHxjXkCVfixUk+0A0iPnJwgLdmWxRSOqOlFI4fMt/NtVyLf/r5E+tOh2n7MW9MNZlvOoyWUli6yh/+lXfzdz5zlNcm64yWUvz1D+1hpuFwfrGDuU7+UlMFyJiGG9K0kyqaaWikTcFC02W57VNIabx3zwDb+yy8APozOmeWbM4stOjLGBzZVkJKyZvTDS4stfEjiRfG+GHMchhjB62kjSZvsNj0aFy252+6bxcr7gbv2KAURDHzTXeVmrmUNri4bN9SUIJEzVtOG5xebFPOGHzo4AD9G+iBGy5afPdCkhtRhEjmxwmoZFeL1LwwuirBuNDymK67yc8ve1SHseRP35rjp9+3i5cuVJlqrN5aXNLCSBKrk5UfSqi6N+fikzXVZMVXTKx5G3Yy664/ZzJcTKEqgsptdE8IY4kXRBybaXLF13Fd6raP7fuEElKqZLpqM1O3GcpbjBRS61Ywwyjm2dOL/NnZpWum3MJY8p+eO7+SN9vdn+X3fu5JAFpOwMsXalxYtimmNe4bzXF8vrXKuUIA+wayZEyNtB+y2PSpZE2W2g4TywFZSyeOIW3oLLc9RkopDnSN5fww5qWLyxyfbRFGifd2veMRxeCHksG8RRglRZ1GGJM2FBo2nF2yr/ocThDj+ps533fjvGODkqYky1rHj1a2a7YfXhUA1sMPk6bWtVTcuqrw4HiJB8evLq9fi9Fiioe2FXl9qt6dswUf3D9w1XsM5i00RdDxQjKmRhDFeEFEOWNw5cRiBdheTvPmdINnjs2veVNFEbRuYBrM9UgZCkIo9OcsdE1hpGhRyZqUMsYdkUdUsiYN26ftRaQNdcUDaSN0gqR/8vRci7n226usuabPqfk24+UUTx8cYtdlRY8olnz5rTm++NYs8QYmULw10ySKJR0v6JryazQdn4lqkpgXMrFZHsil+OT9w3z95AJtL8LUFEYLFodH89h+jKooHBiEpY7HYsvB1JKG7LylsqOSYbBg8p7dfeweSM41yW/q7BvMcW6xQ9sNiKXCYN5gsuow27DxgghFyG4ng4YiFKI1PpOAlfFLd5p3bFASQvCunWW+dnKBppvcKIoQPHSdQCKl5OWLNd6YSsrLAzmLp/b3U9gEYzIhBO/e08eh0QJtL6ScNtbMb1m6yg88MMKX3pxjumbT8UNOzre4uGyvCjoC0DWFX3x6L69OJlWVtbjeBme97ch6rx3IWZQzOqWMjqKIZBpLHN8xvVYhpbNvOE/GVHGCiLylYgfxilXK9Xj2TG3Nn9tBzD/505P89gsT/J1PHCBl6Ewsd2jYIacXWlQyJjlLo30Np0ABHB4pMF1z8MIIP4xoegGOHzNeSrPU9tleTnO+2mFbOUUprfP4jgoHR3KoQnBqoc1k1ebodJ3xcobdA1k+98YsmqqgKYKcpWFqKn53NX15IlpTFcZKaWJpc/9ono4XYeoKXzg6w7GZFpfsoi5N6PG0xCKllNaZb63+TIam8MkjI3hhtOnb7+shrnzyrvpHIeS1/v1eoNrxmah2UBXB9kpm3fFFlzi32ObLx+YYKaRRFcFyxyNvaXz6wdF1NRuXBHyqIm4poRtEMU0nIGMm1rUXljr8j9em+Z3vTjDf9FbNpzc1hYfGS/ydTxzgyFiRFy9U+fnfeomqHdywtaqhJO6GdiBXtalciS6gktX58H2DfPjgENsqaTRFIYxj0rrGUMG6Y7oWN4j4lc++xfG5FlEcI6VAVwTzzTZTjY3nmdZCAMMFgwe2FTm30GGp46Mpgv68wUzNoWqvv61J6yp/8PNPYGgqdTvAjyL8IObcUpuHx8sEUSIebbk+fiSpZA2e2NW3arvb9kKeOTbHQrca9sK5Kgstl7yVPASCKNn2/+X37OLD911duW3YAUena5xdavPr3zzHdP3qauEluxkhoJTSCGJJu5tXEkKwbyBDFCemcjsqaf7qU3t4fFfllkbRX04yJ0+uebG844PSjfLlt+ZYavurVkYzdYe/8Ni2NVdLDSfgK8eS35FSsmcgywf2D1w1skZKyXTdYbHpUcoYbCunV60sLiy1+eKbc7hhjCIEj2wv8t3zNVRF8C+fOU10xd+hL2vw0t/9yMr/b3shv/LZt/jMK9OEsbyhWfOmmmwZ63aAHUREEnQhyFsqThgRRolnUilj8Mj2Eu/Z28/3HxmBrgDP0lUyhnbHTdtOzzf5l189Q8PxMVWF0WKK3f0Z/v5nj9/ysQXQl9FoeSHrDL69ioGszv/xow+xdzDHbCMZWprptsYcn23QlzXZO5jD9kKm6w67+jOMVzJrrkSCKObEbJOT8y1en6xTSCXODE4Qsdz2+NDBAX7q3Tuvsq6drNp85fg8x2caHJ9p8uZsa0PnXk7r7B3MktI1Li63WWh62MHb0hJTU/j7nzzIX3xix8a+jOtwraD0jt2+3SyWrqyaxpskpZMBBGvxjZMLNOyA4YKFlJLT820qGZOHt6/eJn795AJvTDXQFEEYS3b2Zfj+I8NoqoLjR3z2jVlypkY5YxJEMZ97YxZdVdjVl10zulyp9cmaGr/8iYM8PF7ki2/NI6Xk7EKLyTWekleiKtCftdg3mCZnmVTSOsfmWiy1fRpOiOsnI4XuH8nTlzX56KFhct0AvZml/htl72Ce/+8PHeHYbCsZq92fIYokv/bVkyzYt5ZDk8BSJ9zwqtNU4PGdFXb1J0nqjheiKd1WGCRDeQvbT6bRGprC4dECI8XUuitLXVU4MlbkyFiRwyMFnj+3TMpIWkGe3j/AJx8YuSoguUHE8+eWsb2QrKkzd40ZgldStQPiOCYMQxbaPna4WuvmhTH/+5dP8f33j1BM3173gF5QuoL7Rgqcmm9T6yQ2GXXb59BIfs3cjxtEzDZchrrOjkIIyhmD0wutVUFpoeVydLrBaDG1kuA+v9Rhsuawsy/DXNMl7CZEgW7HvELd6V7AI3nemmkm9q0kyuOffd/OVecSRDGWrvLDj47zI49vx/ZC3vu/PbOhzzyQ0RksJNN+x8o6UQwXl21qto+USUVJCJhqeoyWM3z+6AyWrnL/aJG9g3fO6G4t0qa+avLuN07MM5BPs2y317QE2Sg3kmeDJPn/gf0D9HcHfg7lLM4sdshaSaV1vJIhjGJGS2kMTbkhAemB4TwjpRS1jk/KUOnPmmt+53U7QHZV74lk5Mb+Lq9dbBCztpUKQM0O+MzLU3zk0CD/47UZfvfFSTRF8NPv3cVfemJ8066DXlC6gr6syaceHOHNqQYdP+TIaD/7h642kIOkwndp5XNJf+SFEf1XlMNbbogixEpAgsQuo9rx2NmXwdKvXoVlLQ1FCOaaDt9/ZBhFCE7OtyimdX7u/bv4ySd3AMm2sNrxWWx6IJJl9kDepG4HFFP6NfMfK5+j6zctJJyaSxwLFzs+Ik7sMVQgjOHUfJuWG/GzfckN9qdvzvKU38d4OYMiBPnUnTW+g+TB4EfJ8E8hRNJILAS6mlQdbwZTAQRXtetc8zxC+NDBwZXPv70vi1AUmk4y+00C45XMTXty5S39uvlQS0/eZzBvMl1zEs/dG+B64yUUAUen6vzxq9Mcm2utVO3+yeeP0XQDfuGDe27o/dajF5TWYCBn8fTB68vrNVXh0R1lnju9SM7SCGNJEMZX9XaV0wYylkRx4gEkpSSIYwa6TaKDOYtt5RQTyzZ5S6ftJ1NKfvKJEV6bqjNZtfm5p3bxxK7KVUvnthtybKaReOwIkYzjkZKipSeJ2uW5636ORdsHKam7PrYX4fhJJetSMW/FPzqSzDVsPnd0jr2DWVQh+I/fOs+7d1cYKabIWTpHxgqb7u9c6/h893yVmYbDWCnF4zsr5EyN75xb5uh0A0ky1OEjB4c4PFqgmFbRFMGGR9dcgaKCoYirBgJcC0tXViyUIRlosaMvgxtYxDJRZt/ugF1I6Wwvpzmz2GaqltjZXHrHRAEO5YzOYvvmptsI4MRcixPz7au2dv/262d6QWmr8MBYgVJa59RcC1NXOTicv0pIWcoYPLmnwvNnlpNWAJkMJxjrtpsoiuAHHhjh2HST88sdDubzHBkrkLd0PloYuub7T9WT6axLbZ+On+QSdvalGdpe5vsPj/LZN+a43oDWhgN//NosupKovK+lmfMjupNifXZUMqiKQieIVrrOp2o2ewbWXlmuef41m4llm4ypsacrGrwcx4/4o1emCCNJPqVxer7NTN3lkfGk4lhI6WiqQtMJ+MrxOX7o4TF+5t27+dX2CU7MdzYkEbgcDcgbKm4Yo7L+VuZKPnFk7b/TnTTgF0Lw+M4KbTegbgfs7Mti6SoXu/1uCslq9maCkkLy3bj+2tXdjh/xzZPzPLX/1r29e9W3O0i141Pt+ORT2soq6VZ55q1ZvvzWHFUnRCBJaQqjpRS/8PQ+dE3hl37nFT7/1sINHdPo7ib9de7otCYwDQ2z69szXk5Tzhg8uSuZavz4BhXzL15Y5punljDVRFaQNXV+5PFtq7Ypp+ZbfPHNOUYva5KdrjtIGXNmsdPt/4JyxqCUMfi/vnsHlqbw8sUa//7rp/nmmbX7y9ajZAksU6PhhIS+JOD6uaXhvMkf/8J7GNpEL/Rb4b+/Op1cEx2frKWx0HSZb7rESAqWzpnFqxXcG0Vhfeua/qzBi5dVhK9Fr/q2RShnjE33PT672Gaq7pA2EpP+phciGw4LTY8wjnlgvMSXjy9cZbd6Pa51I9qhRBKStUwadoBSEQSRZKLqcGRs7R7AhhPwnXPLTCx3GC2meXBbkW+fWWYkb61oX2YaDkenGrznspHt4RpKdCklF5ZtXD8RByoozDWcZFRQ0+XFizWCSPKB/YPMtjxOrdGJvxaX1jRBILFUlcCIUaOYWIKuJSvcMJJc6tYxBIyVM3zs0OBdH7B5OYWUzlgpxVzTZanlsdTy8MKISsaiL2twsWqzwR7mq7jWZbTU3uD46etwd+fz9rgl/DBmse3iBIlyuOYECCAMIr741iz/7ptnOTXX4i8+vu3GjhvTnUW/PpoqGMlbNNyAC8sdDFWh6QWMl68eQe6HMb//4gRvzTRQFYWT8y3+63cv4kfxKjFextBYvMIWZKycRlME7a5BXdMNEEKQNlTmmh5TVYfpus2F5eTp/8KFGllDYyhvMVpK8wP3j3B4+PrbyZQmyHS3rn4YE0u5opiXIpFcKEKgaQopTZA1VPqyBuOVFB+9f+iuViCv5P6xAoN5i139GTp+SCeIyFsG+ZRGLCFnqJjqjdbmro+qJI6Wt0pvpXQP44cRgsT32tI0NE1Q7QR0OgEvXljmzenEN8kLI9Ia2DcgdF5vNNAlbD/m3GKbI9uK7CxnqHZ8puoOnz86yyfvH16VS5ms2dTsxO8bkjzLZLWDFyaeP5ekEE034PGdq4sEeUvnBx4Y5usnFplpOJTTBp9+YIR/9uWT7BvM0vYigigiE2mktGQbaHbfW1GSuXF/5xMHmWs4/Maz55hY7uBHifFdRPJULqYUsqaGqiosdQJUkbRZ+EFMGMdoCjTcZNJH4rog0NSkyvf4zjIHh+5Oj9h6WLrKhw4OcGQ0T8bQeO70IpN1l6nLuv739mfQNZWa7bHc8nA3ofe2P2skjhe3SC8o3cOEsWR3f562F1G3A1puSMv1aDkhJ+ZadLy4a/O6+UgJy52QmWWHqarLhWUbvyv6/DdfP8Nnf/G9ZLtJ63CNKpaiCN61s7IyNDFGsKs/y8E1ZqxtK2f4iSfT+FGMoSr4UcxwMcVSy6OY0omlhkRSyZmJP9JlXldBHNOft3j33n6e2j/AH7x8ke+eqzHftHF9SRAn+rDBfIq6nWxz2m6M4yeujJBs3eJYrqwsDF1hT3+WbZU0P/zI2Ia8tO4EYRTztZMLvDHZACR9OZNP3D/MH748hX9FtWOq7vI3P7yXiarN104sEIQx87ew/RoumAzlLQzt1tdfvaB0D2PpKoMFi3cbffzZuWVUL2ChkeiiOv7tC0iQ5BYU4GLNxo9Z0azYfsRs3eF3XpjgZ9+/C4CxUgpDfXs0VsdLdFvv2lXhqf0DLDQ9LF2hP7e2KBBW+7Kbmsrh0TxzDQ83iLpBQfLgeAkvjDm70CZjqHhhTM5626a4krP4+Q/s5y++K6DlBjQdj+dOL1FzQhZaLheWW8RSMFS0WGq6NLv3cdy1nFVE0sg6mDXZ0Zfl/fv6qWS3Ti7p6FSDVy7WGCulUUTiKvr6RB1vjfKrG0Ts6+rvjozlURSF504t0rjJJZOMJR8+MEBroz0516AXlO5hLF1l72CWZ47NM1SwyBgZZms2tpcM2NysgHS51uVyYugOGlgdSNww5rXJ+sr/z5gaP/zoGF98c46ZukPW0vhzD42uaK7GKxub23c5793Tz5ePzaGrSQK6P29yZLSAriqMFS1m6i7FtM6u/uxVZflcSieX0hkppdnel+fEbIPfeWGCUtZkvpHkqdzLKgMrW1mZSJ8MXWW4aN3Q5Js7wfG5JqW0sSLSrWRNpmo2+ZRGtbNaBqAqCu/aVeGR7WXCWFKzAx7ZUeJrJ5Zu6r29IKThhZviptELSvc4Y6U0QwWLbd32hS+/Ob0y0eNGWyXWQ/J2V/mVBJKrXNYsXeGxHat7/8ZKaX76vTtxgxhTu/HRWFdSyhj80MNjLLUTg7nL/dd39GXZscGZZUEU8/pknYYbYKgKbdfHC+S6+qRIQkpX+L88su261rl3mpyls3zZFuySWPevf2gvv/K54yttSroq+On37cTUVAxVUsqYvDpRo3ML+SAnlHSccFNkEb2g9A6gL2fi+hFNxydtGAjBDQn/NsK1SsHd8WVIEuuO8UqaH3ls/KrXCSFuyR/9qvdVlVsytvfCiK8dn+etmTrTVZu5posTyGv6T5lqYtY3eBcM9a/HYzvKnJxrsdjy0FVBwwl4z54+3r+vnx2VDL/+rXN4YcxPPLmdTz0wAlxyNHV4395+3CDihfNre01dCx3QNdg9kNmUlWMvKL0D2DuQ4+WLNU7PdyimNUoZg4XmOiNUbwNhnJjmlzMGf+6hMX7xQ3uvsm7Ziiw2XeYaDgKBH8fJgu8631ne0jgwlLvjxmcbYahg8RNPbueViRq2F/LBA/3sH0wKB0/tH+Cp/VePjmo4Ps+eWuCN6eaGXDXXQtEgo+sb8qnfCL2g9A6gkNJ5cleFWsej4yfOhrONzRGybRRFwHg5zfv29d0TAQnADWKEqhDKmDCMEYrE1AVhsPbNqQC7B7J83+HhO3uiN8Bg3uLjN3B+3zi5yBvTzTUtcTdK3lTZO3jzzcZXcm9cPT2uS8pQeWxHBUvXaLob9wHaTIYLFkdGinfhnW+OUsagnE6M+EMpIU78s8x1diC6Av/39+5m5wbzVfcCf/LazFUBKakyClQBKU25pshSAANpg5F8is3Sj/ZWSu8gtpVTPLCtxBeOztzxoHT/tiJ/++P3YW1izuh2U0obHBzKc3ymievHoCRTeW03XLWNu1QwKGU0Dm8rbCn19q1ySbh6Oaoi+NQDIwwXLJpOgIwlSx0Pz/P5s/N1oujtHKOhJjnN3QMZUmtY8NwMvaD0DkIIwbt3VfjAvn4uLk+s21C72SgCfvLJHfRtYMzUVkJRBAMFiw/s66fhuBybbdF2IrwgXLnrVBIfayQM5a1Nb8242/z8B3bxxn+tr0ggVAGVjMm7dlX4gfuHWWr7OH7Esek655c6XKw5NOxkEIKqwmAhxeGxIvmUSd8mVSN7QekdRsrU+MQDo7xwfpk3ZjbWiLoRlK6BnKkp1K8YAKkIwaNXeEjdK/hhjGWqHBkts9wOUXCRMsYPA2KSLZtpKKQ1QX8+dcd9yG83Tx8Y5Fd/+AH+9y+dZPn/396dx9h1nnUc/5793H2ZffF4HSd27dhp3OwptGmbEDVqRBcahIRUEEJqAalQQGyCCoFQVamloEqIShEgohZaKF1oUpKKkKRttiZ17CReJx7P4pm5M3e/9+z8cR3Xy3i8zWSOZ57Pf5575XnPndFv3vV5Gw439Gf45Hu2cefWbmxDY0NRJwwjao5Hww/YOZBnfL5JzfPoS9sM5JJkEwY7BnMUksvzR0lCaQ3aNZjnwb3DlBpjTFQuXaN7KTrQmzW5fWsXn7nvRsZKLT7xyHO0TxeVtw2Vj+3bsKKXT66klKkThXCq1sb1gs6ckqFiG51VRVNX6U5aDOZtdgxkMWK46natHtwzyIOntwgsRlUVtvdlaLk+laEsm3pSGJpC1jZoegG3b+1m52Ucer5cEkprkK4p7B0u8Im7Ff7yO68vOb+kK53DqRcb6fVlLfaO5Pn0B25kIJ9kIJ/k0d+4g3946hgLDZcP3zLML948tBKP8bbIJgzcsHNDSKXlEgLZhEXK0ig1PNKWwVAxyT2jPWzrSXUqWq5DGdvgts3dFBImpbpLy/Pxw4jR3gxb+zLLurNdirytUaW6w6uTFf7rJyf5j5enLrg511Bgc3eSMIqYqzlUnPCi4dWdNvn0+0b52LtGlu3er7hw/IDnj83yzOESh2aqzNc85lsetq5gaCrb+zMMFZK8c6TIcDHJtt7VvShhtYVhRMP18fwQ29QWnSi/HFLkbR3qSlvcsrFIV8pCAZ4+WqLth3QnDQYLCbwgoidj4wUhhZTD2FyT2cbie5vm6i5/8e3X2NiV5q7R7kXfc71y/JAgUrBNlaRpsKB6p2+G0enN2mzsSqGgMpC32dKzvgMJOkO5lb5WS0JpDUtbOruGcnz2oZv41iuT1B0fTVV4s9TANnSyic5FifeMdtObsXjo759ltu5c0KuCzhmxr75wYs2Fkh+EzNTaZBIGbhAQhBGFpEE2YZK2DbwwYtdgmsFCMlaHb9cyCaV1IGnpPPTOISYWOqffH9wziK6pNF2frG2c2Yn79B++l9/92ss8fvDUOafkoTPv1HCuvSxF3DQcn560TRh1rnVPGToNN6A7YzJcSEHU2YeTusphirhy8kmvE5ausaXn3J3I55eZMDSVX79nC/tPVjheOre4vK4qPHTz8Iq38+0UhhFeELGtL4OiRMw3TBK6hqGpZJImrh+STWrsHMhJL+lttLZmLcU1u2k4z+/dt53hfGcjnKJ0dvh+aO8QH7wpvme+roaqKthG5zbZ0b4c+0aKFNI2xUyniuJIMcF9OwZJLtOZLnF5ZPVNLMoLQiYWWhyfq7OtN3OmeuNa4/ohU5UWfhgRhSFeGGGoKpqm0JexJZBWyFKrbxJKYt0LwwjHD1FO71pf7ytsbwcJJSFErCwVSjKnJISIFQklIUSsSCgJIWJFQkkIESsSSkKIWJFQEkLEioSSECJWJJSEELEioSSEiBUJJSFErEgoCSFiRUJJCBErEkpCiFiRUBJCxIqEkhAiViSUhBCxIqEkhIgVCSUhRKxIKAkhYkVCSQgRKxJKQohYkVASQsSKhJIQIlYklIQQsSKhJISIFQklIUSsSCgJIWJFQkkIESsSSkKIWJFQEkLEioSSECJW9NVuwFq10HB5bapK2w8Z7U2zoZhc7SYJcV2QUFoBM9U2X3ryMJPlNgpQTBk8fOtGbt5YWO2mCRF7MnxbAd94aZyjs3Uytk4mYTBbd/nai+N4QbjaTRMi9iSUVsD+iSqFpIWpq+gq5BIGJ0oNHC9Y7aYJEXsyfFsBxaTJyXKTiIiJhRZ1x0NTFeYbDmnbWO3mCRFr0lNaAffv7gfg4GSVhuOjKio7B/J8/aVJam1vlVsnRLxJKK2A2zZ38f6d/WQTOklTY3N3ku19abwg5ORCa7WbJ0SsyfBtBeiaylA+QdLUyCctVAVePlmmO22iqcpqN0+IWJOe0gqZqrTJ2gZEEbauEgQhpbrLiOxXEmJJEkorpOEG3L2tm/6cjR9GDBcT3NifwdLlIxdiKTJ8WyFbe1IcOlXj5pHOhsnZmsNIIYmiyPBNiKVIKK2QWzcXmW+4TJbbQER32uKObV2r3SwhYk+JoujiLypKtNTrYmlRFDFWavDyeJljsw1em6ximxoff9cId492r3bzhFg1iqIQRdGiwwYJpRXkByFff2mCozN1Hnl2DD8MCSOwDZXfeu8on3zPttVuohCrYqlQklnXFTRTc6i2PP730Cxu0AkkgLYX8qUnDtN0/dVtoBAxJKG0giIABU7V2he8pqgKszXnbW+TEHEnobSCejMWKVNnUzHF+XsmrdMbLIUQ55LVtxVkaCoP7O5HIeLYXB3HD9FUhTCK+MLH96Jr8jdBiPPJRPc18oOQatvH1FXS1sUz3vECnj1aotr2ePdoD4WU+Ta2Uoh4WWqiW3pK16BUd/i/w7PMN1zGF1pkbZ07t3azezhH0jz3o3WDEENXabsBL58os3ckL8EkxCJk/HCVgjDimSNzBGHEdLVNytSotnwOTJR55sgcYfizHqYfhDx+4BRjcw2Sls50tc1/vzpFy5Wib0KcT0LpKtXbPjXHo9x0iaKIhKmTtDS8ACotn4Wme+a9p2oOtbZHLmFQbXXqKbVcn4mF5mo1X4jYkuHbVYiiiKOzdV4cW8ALQppuwI4BnaYTkDQ1Wo7P2XNxYRhRbfscmanjhxGuH+L6AXs25FfvIYSIKQmlqzBVabN/osL2vizHS3VKdZcfHZsjZ+s4foJ50+XITINCykJTFXoyJifmG7h+iOeHVNsec3WXR587QcrS2TGQW+1HEiI2ZPh2FY7PNWg4Hm0/oDdjsXMwSxBG9GZttvakuWtrD1PVNlOVFkEY8dyxecZmGzx7dI5nj5V4Y7qG7we8carO3z1xiFfenF/tRxIiNqSndBWOztR4daJCT8bG9UOiKGJTV4o9wzlO1VxeOTlPMWUxU23TdH0eOzDFVKVNGIY4bkAzhCAM6dFUJhZa/MtzJ9g5lMfQVcIwwg8jTKm7JNYpCaUrVGl5NNwAU1M5OlOj5QU0nIBCyuDpoz6Ndkjd9fGDEENRSNkapZqDQoShaUBABLT9iKShkbR1JheaPP7qJM8em2e61ubmDQVuGs5x80iBjNx+ItYZ2Tx5hU7MN/jC9w+zf6LMqWobP4jQNAUlgt60hWmotL2QluczkLP5hV39fP/1GRYaLrauc6LUoO4EWDr0520ylkHL9Tky1zpzYFcB9m3M8/BtIzy0dxhV6nqLNUY2Ty6jI6fqvDFVYb7h0PJCgjBC8TtBcqLcpCdlEACaovLmfIsfHi2hRBFh2NlAmbYNml5Ay4djc21UpU14Xu5HwAtvlnF9nz3Debb2ZlbhSYVYHTJxcYX2T1Qopk3KTR8viAgjCCLwI3ADWGh5mJqGoankExoNz+eOLd0M5G0MTaGYMvDD0xUE4IJAeksEvDJR5/f/7WWmyq1zrvyOoohK06MtN+6KNUh6SlfI0lXqbrhomChA24Om25ljylgmGctksJDkz/cM8upklccPTHNgqsbljopfHK/y4S8/w2c+cAP7NnWRtDS+/dMpSg0Hxwvw/JCxUpNCyuTX7t7MzkHZXiCubxJKV+ie0S7+9bkTLJYppqagEpEwVbpSFsWEQTqhU0yZ5JMW4/MN/ufgqYv2ji5msuLwt08cYqQrgRsopC2N/lyCl8fLHJisngm4b70yxZce3st9uwau+TmFWC0SSleg5QYkDJ1bNuYZX2hd0NsZzFlYhkpP2sI0dCxTY9dgnpuGc3z5B0f4yrNjV/29j8+3ma62URSVnrTJsdkmJxaa5wScG4T86TcPSCiJ65qE0mXw/JBXxhf43oFpZqttxkt1dAW8swJBUyCf1PnILSPct6ufmapDKmEwmLWptDwefX7smtvh+KAqIeWWR9oK8YILu1wzNYcwjGTFTly3JJQuYa7W5pFnxnjq8AwTC20qTY/FKmsHUWeZ84O7B8mlLbozP6sqOVev0/SuvS0hnYnxSjug7gRoSuf7nm1bT0oCSVzXZPVtCUEY8diBaQ6dqnKq3KbcWjyQ3vL6dJPJ6oX1uNPm8m+ADKLOCp2mgKEpGJpCwtT43Ef3LPv3EuLtJD2lJczU2rzw5gJjpQbllndBr+R8XtipQnm+gUKC3rTBTH0Zukvn+cgtQ7xjME/S0nn/zj5yCdkBLq5vEkpLODrToO2FtL1oyR7SWxK6wkDOvuDrpbrDxmJi2UMpisDxQx565xBZOY4i1ggZvi1hpt4mn9RJmCoal56ncUMYPO+Gkolyiz/7z/1MVBwSxjLP9SjQk7YZLzWW9/8VYhVJKC2hkDBRUNg1lKMrZVzyw2p7ndtK3nKq2ubzj73OWKmJpWv0Ze3LiLbLt6MvTVfKZLbmXvrNQlwnJJSWcNNwjpSlUXcChrtSDOVt9CVSJW1pKErnDbO1Nv/41BFePlnBCwLKLRdT1xjMWZjL9Kk3HJ8gkjInYm2R3+YldKUtPnHXFrb1pMnaOlt70+waypJaJFV0VeGPHthx5t8/eH2G6WqbtKnTlbbJ2AbzDYemFzKQtxnKGNfca5qutjleqjNckEstxdohpUsuQ9sL+PGxEgcnqwRRyKHpOg3HQwEOzzbI2ga/cvtG8kmD6UqLqUqL544vkE7otJwANwgJw5DJikPa1Lh5Q4GpaotDp2rUWsFlTaIvRlfhpqEcX/3NOzHkYktxHZHSJVfB9UMmyy3GFxq8MVXD0BSylsZUzef2TQVu3pQnjFQMTeHpI3N879VpJhaazDddTF3F1BUark93ysTQdE6Wm1iGQm/W4kS5SbnhkU2YqIqH5wfU3OhMzylcsmUdChCGnQPCEkhiLZFQWsTBySpffOIQzx+fp9r2MNROAHjhzwIjb6l88Zf2MllzePLgNM+/uYBzViWRrK2SsXQ8P0RVOuPklhvywokKKp2d2UlTJWvrZCwNywhwPJ+2B+5ldk51DXqz1jI/vRCrS0LpPPMNl7/67kGePVo6c9jVX6TrUnZCfvWfXqI/ozNdu3AAVm2HtFyXhKlhaiq2oVJp+UQRvJVdTTdkOK+xayhP3fGZq7Y5VXM4WVl6NU0FckmdvrTFSDF1bQ8sRMxIKJ1nbK7Bj47NX3Z5kcUC6S1+CAoKuYTOZNlZtMLkWKnNw7flGcwnqbccnjs+z7f3T1Ffors02pciYWhsLCbZt7l4eQ0V4johkxHnqTnLu+taU6HhhAQXWTBwgoivPT/OUD7B9oE8d432cu/OPgr24j8aW4Vi0qAnY3HHtm5u3dS1rO0VYrVJKJ3nlo2FczZAXgtTUzA1DV1TSCyxwel4qcnzx0sYKnRnLO7Z1sMDuwco2hoqoNH5QVka3LG1yN6RPA/tHeBj+zaQMLVlaasQcSFbAoBy0+Xz33+DHx4pcUN/hj0b8nzusTcWrVd0JTJWZz4pYapEwFTZWXRlTVPgts1F9m0qcvvWLgjB8X0Sps6/v/AmPzlZIwpDNncnef87BoiikNGeLHs2FmTlTVyXltoSsO5DyQtC7v6bJ5mpOWcqSVq6yp88cAN//d3XaF7lJiIV6M4Y5BIGI4UkJ+YbTJVbLHUmN22p7BjIcmN/lo/uG8bUNFw/4PXpGn4YYqgqg/kEXhDSk7HY2pvBNqSnJK4/S4XSuv8z+52fTjF7ViBB5+T9l548fNWBZGudGkdJQydjGyiKgq5pJMyl1xXqTkil6TFVbvHMkRJhFBFEYGgqfhAxXEigqSq2qZE0dUzpJYk1aN2vvr0xXV10pW2mfrX7rMGPFBQlImFovG9HH90Zi1rT5SvPjMEl9m8fmmnQnbaYLLfoSpudg7wZi8lKp+pl0oTutE1/LiEVJsWatO5DaTlkTIWGG52ZL7I0MAydwUICS1PpzVhoikLO1pmqOIvehHK2g5MVbhzIoioq+aRJPtm5pskLOpdfmpoqgSTWrHUfSssxJ5OyDFA8Gk7nqIipawznEgzmbI7M1fHCkBfG5ik1O+flLhVK1XbQOcibMs/5uqGpyBSSWOvW/aTEvTv6rmkFSwEqLRf39NUmmgItL2T/VI1//vE4Tx2a48WxCnUnoJA06M1cui4TwIa8Kb0hsS6t+1DaNZTjd+7ddtV7kyI6ZWkNQ0Ghc26tfda5lMlym0MzNYYKCQxVpe2HlyxZYqqQS8mZNrE+rftQAvjUe0d5/o/v5Zdv3UBf1iSpc0W1jnRVJWsbaIsMrSLgZLnFxEKLUqNNtRUQXPi2cyRtjbS17kfWYp2S3/zTiimLz35oF/fvGuAbL40zNtdgutJiunbxjUUqnJ4j6tx3dLHzcrqqcLzUoO1euihJyoAd/Vmca9y4KcT1SkLpLLqm8u7tPbx7ew9R1Lnz7bcf/QnuRQJCU0DT6KyGnb5/LQyjc3Ztqwr8/PZu5mpt5uoOTTeAcPGaSRlTYc9Qjt58gsGcVJMU65MM3y5CURRu2VgE5cKBnAoYaqd8yJbuNMPFJEGksHswy439aTKWduaSyLu3dfMH99/AhmKCobzFSMFmsZFZxlLpydgkbINbN3axuUdKkoj1SXpKS+jJWHzqPdv4+x8cwQs6N5UYmsruoSxNJ2AgZ5GxDbLJzlGS+3f3o6sqBycrzNZctvSk2DmYw9BUfm60l2/+dJJCIsALTCotD9vU2VRMsbkriaorbC6muHO0h9G+rFwGINatdX/27XK8erLCIz88TrXlM9qbRtdU7thSpC9n03QDsrZBf85ecmuB5wW8Ml7mxTdLoCrsHszRm7Eptzx0XWE4n6I7IytuYn2QA7nLZKHhUnd8utOWlAwR4hpIKAkhYkWqBAghrhsSSkKIWJFQEkLEioSSECJWJJSEELEioSSEiBUJJSFErEgoCSFi5ZJn35RFDqQKIcRKWXJHtxBCvN1k+CaEiBUJJSFErEgoCSFiRUJJCBErEkpCiFj5fwxaCN1Mh/jyAAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"execution_count": 15,
"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": 16,
"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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t7hE84fAhCDQa1Kb02dIs7Mf8WHTgyV83sza7pCEv3ewoszpZlVWM8yjjt82p8XdmAU9c1JnwIAOKJBEbaub1q3ry2c39MSgyB8ps3PzZKrIOrejllFi57YtV5Ja4/760V5JXQjmzQeaSXkmNe3MCwVE06Egpv9zm8bU5GlWHK99fxkc39GVEuvBUrg9+bNzudlniqn6tuaJPMlanSrBJ8Zqizdq0H+0YB1i7S+ORaZsItxjYfrCCVlFB7C2qRpIkLu6VxBMXdWnIWxEIaqVBRemC7onM3nIQpx9lcmk6D/2wgZX/Phu5pl+cwEOYxciw9rEs2lHoKc8dZJS5cVAbwC1O/nyYJD8frabD4p2Fnr8NskRMqIkFD43AYhJrH4JTS4NO387v2pJLetY8FSizOimzOhuyC82K18f1YkyPBIKMCmEWA+1iQ5mxYR+vzt5Ohc3/53hBtwS/rgRH49J0Kuwu5m7Lb4huCwTHRYOKkiRJvHRFD367ezARFt83cLDJQHiQ0c+RAn+Emg28emVPFvzfCCRg6/5yNuaV8/7C3Vz+3jI0P3Wa4sItfHHzGSTX4Hh5GJeqU1TpaKCeCwT1p1GcJ7u1iuTzW/oTZJS9bCNndYyr0VYiqJmvlmd7xcY5XBq5xdUs213kd/++baKZee9QnwopxzIiPfZkd1UgOG4azaO7Z3Iko7q0RD7KyPF7xgE+rofXscCbfaVWv3a6mqqjAIRbjEwe3RGLQcZkkDEeehuEmBQsRpknL+pCSouQBuuzQFBfGs2q6XBp/L7pgFc8l9Wp8uHC3dw6NLWxutEsGNWlJb9nHPD4f4HbLjSoXUwtR8GNg9oyJC2WvzMLiAk1MSC1BfnldlJjQ2oM9BUIGptGy6dkdah0feJPVD92jzCLgduHpnL3mWk+HscCX3Rd5z8/ZzBtbS4mRcapajx1cVeu7Jt8qrsmENSLgCkcMO6D5azKKvYaLR0myKjwn9GdGD8w5aRdr7mzr9TK3uJqOieGe8XGCU4ea7KLmbYmj2CTwtVntCYtLvRUd6lZ0OCiZHOqPD1jCz+tzUOS4Mq+yfx7dCdMBpniKgefL81i874yeiZHMn9bARtyS/0KU1psCHMfHFH/OxMIGpD/Lc/mmZlbsTlVZAlMBoXPbupH/9QWp7prTZ4Gzzz5+K+bmbYmF6tTpdqh8u2qvTw3aytlVifnTV3Iu3/vYu7WfN6avxOXpvHb3UMwKr79EXFYgkDBpWo8/7s7A6iOOwrB6lR5euaWU921Zs8/tm7qus5Pa3O9VoNsTo3vVu0lyChTVu3AcWibzamxM7+SoioH3ZIi2Jhb5hkxBRkVj3ey4Ai6rrP9YAWyJNE+LpTZWw7y5rwd6LrOxBHtGNNDxKk1BBU2l9+8Unv9ZAUVnFwabMnF6tR49+/dPu1OVWPJzkJuH9aO71btZWFmIUEmhduGtmX8AGFPOpp9pVau/WgFB8ttaLpOkEGmxHokT/c936xnY24Z/7mg8ynsZfMkMthITKiZ/WVH3CxkCfqkRJ3CXp0enBSb0gPfr2fmxv1eeXlqwz0/lzEbFL685Qy6t4qsb39PK656fxmrsorxY37zIEuw+/kLGq9TpxErdhdx02erkHDHEFqMCj/dMZjWLUQ+sH9Kgxu6rQ6V//txAzM27j/uzrWKCmLRwyOFK8AxaJpOu//Moj6LnzufOR9DHd7aghOjzOpkwfZ8LEaFEemxmA3Kqe5Ss6A2UTop07cgk8ILl3Xnj4wDflfVaiO/3E5hpYPYMPPJ6IoXRZV2/th8AE2H87q0bJBrNBSS5I51q7DVXlbJpEhCkBqQiCAjY2sJKhecfE7a02w2yHVGo/vtgOR2njzZrM8pZdhL83lmxlaenbmFYS/NZ0UNsWGBiCRJ3DWiXZ37PSfS1gqaGSdNlJbuKuJ4X9gScPuwVCzGkz8kfmTaRqocKlanis2pYXWqTPpp40m/TkMyYXg7RtYQJKtI8Mh56VwuvLibBKqm41LrZ3M93TlpouRwaegc30jpwu4J3H9OB3RdZ1NuGb9v2k9+Rc1BpcfDjvxKn7aswmq/6T0CFUmS+OiGftw5op3PJxtkMnD1Ga1PSb8E9cepavz3lww6/fcP0h/7g5s/W0VptUgRUxsnTZQGp7XwSbtaFxHBRpyqzviPV3Dl+8v4vx83MPTF+fxvefY/7k8bPyskSZFBTS7LpSJLPHxeR36YOJDOCeFYjDK9kiP5bsIAIoNNp7p7gjp4Y94Ovl+Tg8OloWo6izILuPvrdae6WwHNSY19+21DHvd8s75e+wabFJ6/tBvlVifPzdqK1XlkaGs2yCx55ExiQk/cML10VyG3fLYal6qhAwZF4t3xfRgpcoILGpF+z86loMLu1WaQJdb99xzCTuN4xQYPMznMmB5JRAXVbbQOMip0S4pgdLcE/tqW7yVIAEZF/sfVTga1i2H2/cO49+z23HtWe/68b5gQJEGjo/hxdZEkvPKKCbw56cteF/VM4qvl2V5VTAyyxIDUaGJCzbSNCaF3ShSD28UgyxLtYkNZvLPQK0xF1XSSo/+5g1pydDB3n9n+H59HIDhRbhjUhjfm7fDU5TMZZM5MjxX5q2rhpDu43HVmGtGhZoJMChLuUdGdI9rx1a0DmHp1L+49uwND28d6bDu3DG1LsMngCdANMioMSI2mU0J4va536623IkkSinJkBU9R3GWG7rjjDgDeffddQkJCkCQJo9HIkCFDqKx0G8IjIyORJMnzz2g08tJLLwGgaRoXXHABBoMBSZIwmUzceuutXtcfPny4e/n+rrs8bVOnTkWSJMaOHQvAqlWrkCSJqVOneh07bdo0wsPDkSQJg8HAJZdc4rdPkiQRGRkJwGuvvYYkSXTq1MnrXJIk0bJlS8/fRqORESNGeLYd/iwOs3jxYp9rSJLEBx98gCRJjB8/HoBdu3YhyzLdu3ev1/ch8GbCsFTuGNGOyGAjwSaFi3sm8dpVPU91twIbXddr/OfefPxU2Jz61yuy9Slztutrsovr3H9/qVV/buYW/dbPVunfrszWHS613te65ZZbdNwJBvRZs2bp06dP9/w9ceJEff78+Tqg9+nTR1+6dKn+xBNP6JIk6b1799Z1XdcjIiL01NRUPSsrS8/IyNCjo6P1kJAQXdd1/ZJLLtEB/d///re+bt06fejQoTqgz549W9d1XXc6nbqiKLokSXpkZKSnT1OmTPH0ISMjQ1+5cqUO6FOmTPHqe4sWLfS4uDh93bp1+o033qgD+h9//KHv379fz8rK0iMiIvSUlBQ9KytL379/v67rut6mTRtdkiQd8LTpuu653jPPPKPruq4bDAZ9+PDhnm0TJ070uvaiRYt0QH/66af1rKwsPSsrS8/OztZ1Xdc7deqkS5KkZ2dn6z169NBlWdZzcnLq/Z2cThRV2vVPF+/W35ibqW/dX3aqu9NkOKQt/nWnpg36PxClxuSwKIWFhelXX321fsUVV+gRERGeH+Lw4cN1WZZ1p9PpOWbAgAE6oKuqqkdEROgdOnTQdV3XVVXVk5KS9NDQUF3Xdd1oNOoDBgzwHKeqql5VVeX5+7nnnvOI1tFidViUZFnW27dvX6MoJScn65Ik6QMGDNCnTp2qV1RU6Kp6RJCjoqL0du3aef7Ozs7WAf2+++7TAf3666/3bDt8PZPJpFdVVdVblN5++22fzzQrK0uXZVlPSEjQAf2BBx6o13dxurE5r1Tv+Njvevv/zNRTH5mhpz86S/9mRfZJO/+u/Ar9iV8z9Ae+W6f/vT3/pJ03EKhNlJp0fILNqVJld4dhdOnShUWLFrFkyRKvqUZ+fj5BQUEYDEfm8G3btgVg+/btAGRmZnqmgPn5+bzyyisAOJ1Oz759+vRBURRCQkIYN24c4J4WJiUl8eyzz2IymXj00Ue9+nfTTTexY8cOfvzxR7/9//XXX0lMTGT58uXcd999xMfHk51dszvEI488gizLPP/883Ts2JFp06Z5bR8zZgxOp5Mrr7yy7g/vEHfddZdn6tamTRsAUlJSuOuuu9i/fz9xcXG8+uqr9T7f6cKSnYWMeWsJVoeKw6Wj6u7UPE/N2ILN6ZvyxB8uVeN/K7K59qPlPPzjBnYe5Vu3PqeUC95YzBfLspi2No8JX67h7fk7G+p2AoomK0ofLNxFr6fmMCvDHQTcZcAI9u3bx/79+xkzZoxnv+TkZKxWKw7HEYe1zMxMANLT0z37vPfeeyiKQlRUFNdddx3gtssc3vfbb79l0aJFANhsNnbt2kVOTg55eXlIkoTD4WDVqlVUVx/JtzNhwgQSExN57bXXfPqvaRpffvklX331FUVFRTz88MNUV1fz8MMP13jP06dPR9M0goKC2LZtG1VVVV6Cl5CQwKWXXsrMmTNR1fr9MB544AEWLVrEokWLmDlzpqf9jTfeAODSSy+t13lOJ+wulYlfrvGbbx6OVJXRdZ3tByrIKqzyu9+9367nmRlbWbKziGlr8rjorcVsP1ABwAuztrrLaB1amLY6Vd78awdWR/2+16ZMkxMlq0Pl9i9W89ysbYe+NPeDsUDv4hn+3XTTTZ79H3vsMTRN44wzzmDZsmX897//Zc2aNfTs2ZMKu4rDpVHulAjtcR6vTZlKfn4+vYecyfqcUkaPHs2aNWuYPHky+fn5PPfcc57zTpo0CUmSmDlzJjNnzuTDDz9E13Uef/xxr/5+//33uFy+QbWyLPP2229z5ZVXsmPHDlq1agW4hcUfP//8M9XV1Zxx6W0kXvkkKeOeAsXAQ5Mf89rv66+/xmKxHJ5+e8jNzWXevHnMmzePFStWeNqjoqJITk4mOTmZ0NBQNE2EQtTF5n3lNWZJlSSJlhEW9hZVM/zlBYx5azEjX1lA6uSZ3PLZKvIrbKzPKWXSjxv4Y/MBz6qcquvYnCpvzd8BwJ4iXyGTkCistPu0Nzea3Lrk3V+vZf523/LS5vAYzJYgjAaFmJgjpYaGDBnCO++8w6RJkxg0aBCKotC/f3+m/TqT86cuxO7ScNpVnpm5BUVOw5KUzvZ1K7jw4bcYd+0TXKTrvPLKK7zwwgsoikK3bt145pln6NevH23atGH06NGeaz344IN8+umnXtO4wYMHM2LECBYsWODT56+++oqbb76ZAQMGIEkSPXr08DuqAnj66aeRZYXyLpdiPPS2NCekk71zMzv2HkkZYzKZeP7557n//vu9jp8xYwYzZswAwGKxMGfOHMAt2o89dkTYtm3b5hlBCvwTF2bG6SeOTZbg6bFdMBsU7vx6DTnF1R7x0nX4a1s+509dSJXDHY95LJp+JLPloHYx/Lohj6MvYzEqJEbWXum4OdCo1Uz+KcVVDgY8Nw+Hnwci1Kww9apenN05vl7n+mzJHl74Y5vfh+MwFoPM5PM7YTLKDExtQZuYU1usccKXq/lz80GvthCzwsuX92B0N/8jLEH9UDV35GZ9w5AmfrmaBZkF2JwaEu6Igbeu6c25XVpSZXfR/cnZNU7vasJikLnnrDTuGtme/HIbl7yzlDKrAx3QNPjg+j4Mbd88qhg3eD6lxsLuUqnJETbEbGBYh/p/YZv3ldcqSO7raTw7ayuK7H6LPTCqAxOG1Z1OpKFIjg7GIEteOat0HeLDLaesT02Roko7s7ccRAIGpLbg6RlbWLC9AIMiMX5ACv8e3anONDxvXtObF2Zt5ce1uciSxPgBrTmnk/uFaDLIGBXpuEQpyKjQIzmCW4a4C7PGhVv4+/9GsHhnIZV2F0PbxxIR5BuWYnepFFY6iA8zY1CanDXGL6dElHbmV7JlfzmdE8KPq45WQkQQbWNC2HGwEvWoEVyHuFA+v+UMTMeROyW/ou65uQ7uUdkh2+JrszO5pFcScWGNIwK6rvPbxv18sTQLdJ2xvZKwGBWqHS403R0j2CE+jN6tIxulP82BNdnFXPfxSndGTwnsThVZklB1HdWl878V2UQGGbnnrNojAVZlFfP1yr2eEKmPFmVRVOnkuUu7YVRkbhrclo8X7fEZ1Ut4V+2RgN4pkTxzcTcfh2GDIjOiltCoz5dm8eIf29B0HUWS6JIUQZfEcG4Y2OaUj+r/CY06fdN1nUd/yWDamlwURUJVdS7t04pnL+5a73S4+0qtTPxyDVsPlCMhcUnvJJ69uOtxvyWGv/wX2UVWn3azQcbu0pAlfHJjh5oNvDGuJ2d2rN8U8Z/y9vydvDF3B/ajHuy+KVG0jQlmV0EVZ3aM4+Yhbo94Qf0489UF7C7wvxp2mIQIC8smn1XrPpe9u5Q1x8RnmgwyiyeN5K+t+eSX27A5VaatzaPgkHG6XWwo4wek8PysrUiShCyD2aAw/a7Bxx1WtW5vCdd8uMJjKD8aSYL7zmrPv85qH7BppgNm+rYqq4Sf1uZhc2lwaEHq53V5jO2RWO8Cf4mRQfx6zxDKqp2YDDJBphNLEJcWG8beIqvXW8tkkJl8fkf2FleTU2xlQWa+V0yeU9VIjWmcCqmrsop59c/tHDvBXJ1dwgXdE3j5ip6N0o/mhK7rdQoS1C9Y9vCy/9FIwKDn53G4foYkQZeEcF65oge7CytxqjrDOsRyfteWzNuWT6jZwNmd4k/oGf5tw35sfkpAgXtK//q8Hai6zgPnNL1Fi0YVpZV7inxqadmdKiv3FB931dGI4BNL++BUNZbtKmJI+xiW7nIHArs0nSCTwnUDUrhxsNtZMr/CxvlTF1Fpd2F3aQSbFM7v2rJRhsVrsksY/9FyH0E6zNMzttC9VQR9UqIbvC/NCUmSSIoMIq/Ud4R8mCCjzI2D29R5rnM6x/O/5Xu9pmfuRIdH0HXI2FfOdZ+sBNyrc6/M3s5zl3Rj3D9M0BdmMWCQJa+X5tFoOny4cA//OrN9k7M1NaooJUcHH7KJHBEmi1FptJI1OcXVXP7e0kNe4BKyLHFBF3cQ65juiZzV6cj8PS7MwtwHhvP96hyyi6oZkR7L2Z0aZ9r2xrwd2F01T5s1Hf7zcwZ/3DesUfrTnHjmkq7c8dUanKp7tc0gS/RpE82a7GIsBoWbh7TllkMvptp4cFQ6G3JK2bq/AkWWkCSorKPIg3bI6/vRXzJYt7eUeVsPEhNm5sFR6Qw/tEjjcGnYXCrhdeRaurJfMh8u2o2zFidZh0vDqeo0tQIsjWpTsrtUzn99EftKrNhcGhaDTGJUEL/fO7RRStfc+OlKFmYWeNmK2rQIZsH/jWzwax8P501dyLZDnr01YVJkMp89v5F61LzYXVDJ9PVuT/xLeiWR0qLu0W+5zckXS7NYk11CnzZRXD+wDeEWI5kHKyi3OokMMnLu6wupTxpuWXLnWXIeVR36kxv7snhnIR8v3oNL1UmLC+Xta3vTLrZmc0FGXhnPztrK5rwyyv0IYtekcKbfNYS/M/PZsq+cdnEhmBSF8CAjfVpHndIsrA1e9+14qLS7+GbFXveXmxLFuP6tCW3A3DJr95bw4cLdhJgVZm484GMYVGSJDY+PItRsILekmj8yDmAyyFzQLYEW/yDz5T/hrb928PrcHZ6H1h/p8WH8eb8YKTUGNqfKqCkLOVhuw+7SMBtkEiIs/HHfMK+iF2PfWsyG3LITukZ6fCjZRdVueytu+1TLCAtLJp1Zp3jYXSrfrdjLEzO2eF64EpDeMowWISbW5ZRidajouAtOWIwK8eEWvrylP4mRllNiDA8oUWpodF1n+vp9/LQulwNlNjIP+hYQOJpQs4ENj49iYWYBd/xvDZp+6E0mS3x3+0C6JkU0Us+PYHepnPHsXMqsNU8HbhrUhscv6tKIvTp9+WltLo/+kuFldjiczvnomnDlNidP/bqZmZt8X35HY1IkHDXYgo4mxKTw7e0D6daq5mdw24Fyrn5/OdUOl885zYdcZGqrXB0ZbOTxCztzSe9WdfbnZNJo6XADgSd/28LknzexMLOwRkE6/OIJMir837npyBI8PG0jNqfmntM7NarsKv+dntGIPT+C2aA0mi+UoG72FFZ5CRK4R0+5Jd4G83CLkVeu7MnWp89jy1PnckmvRJ9zjewQQ5gfJ0h/aDqYjbX/RO/7dj2lVqdfkXNpeq2CBFBa7WTyz5vYdIIjvIagWYlSmdXpdmirI5L68j6tuKhHIh/d0JcbBrWh0u6ipMq37E1ddp2GpHtyzW/HYJPCyI4i33hjsWRnoU+bIrlTPNdEsMmAQZY5dua1dHcxb43rRWKkBUstgmOQIDU2hPa1OBc7XBrbD9b8jMqSO3SlLhwujWlrc+vcr7FoFl53m3LLWL67CJNBRqljehxqNvDS5T182iKDjRRWegtTbQ9EQ1JmdTJzw36fdpNBQkLiyr7JDG0f4+dIwcmmuMpBRl65T7uq68zefJD28WE1rpRtyivzccA1KjIWo8KSSWeSW2Ll+o9XsKeo2ufYszrF88Jl3Wu19xgViXCLwWeaL+H2ubt+YBsy9pWxIafUZ6Tntb/EcUVDNDRNXpSenbmFr5Zn49J0DLJc53D1vK4tmfzTJtLjQ7m8bzKhZnf+7ecv7c4936xFVXVkWcIgSzw1tmsj3YU3y3cXYVAkj4PpYXq0iuT1q3vVO1L878wCPl28B1XXuW5ACqO6tKz7IIEXDpfmN95S0+HTJXtYsL2A3+8d6tcYfUbbaHblV3otWDhVjXcW7OTv7YUEmRT6pUSSV2rz+DsZFYneraN4//q+dfZNkiQmndeRp2e4cy8dFqNr+7fmuoFtaBsTgqrp/LUtn815ZXyzai8Hy33Dq4yyzJUBVGm5SRu6s4uqGDVloY8QKZL7C9N03edNdZggo0xMmJnf7x3mWf3LLqpi1ib36tuY7gnEnaJA1xW7i7j5s1VUHfV2UyS4pn8KT19cP6H8cU0uj/2S4TG4Hraf3Tykbh8cgTejX1/EtgPlfp+lEJPCxzf2Y4Af59/CSjtj3lxMudXpCaJuGWFhX6nV4/R4ODPB4eDd9nEhTD6/E1+v3EulXeXqfsmM7ZlY64hp6c5Cvl65F6MiM35ACn1SosgqrGL2lgMEmwxc2D2ByGATnR77w68B/uMb+nJWI/ngHabZrr7N3Lif+79b7zeVSX2wGGUmnduRmwLsh6ppOudOXUhWUZXn4Q0yKsz415Ba/VaOpv9zc33eimEWAxsfHxWw8VCByv4yK3d8tZYNOaU+yd1CzQovXNadC7snUm5z8ta8nczfnk9Ki2AeOCed1NgQ5m49SEGFne6tIhn3wfJan1eDLKHIkudFG2RUuHFwGyad19FnX13X2ZFfidkge/lazdi4j4e+34Cqu2cPBkXi5zsHMeHLNew6JsymRYiJ1Y+e3ejPRMDEvp1s0luG+U22VV9sTo2tB3ztBacaWZb4YeJApszJ5O/MAtrEhPDQqPR6CxJASZXTp63S5kLVdPfUUFBvEiKC+OWuwfy0Jpf//LLJq3iqU9UZ1C4GXde56v1l7CqowuHS2JlfydJdRfx2zxAu7O5ehcuvsLmHRrWg6Tquo7z5rU6VTxfv4d6z2nv5RGUXVXHdxyspqLSj6zqdE8L59MYzCDEr/PunTR5/J6eqIjnh8neXUe04Yg+QD9mRnr64S8C9pALHunUCpMWFEhNmOuHj3TXmji/mrrGIDDbx5NiuLPi/kXx20xnH7S81IDXaa+VHlqBHcmSTi4MKJC7pncQVfZIxGWRCzQaCTQpTr+pJdIiJNdklZBdV4zgkBjruuM5Pl+zxHB8XZqFbUkStizH+poiaDhXHeGzf8dVackqqsR7KYrkpr4ynZmymsNLhY87QwcdtwHho9DS6m6/bwqmmyT+hr13R01PI8niwGGV6JkcwpkfgfSkngxcv705yVDAhJoUQs0JcuIWpogjiP0KSJJ66uCtLJp3J/27tz9rHzuH8Qxk/i6scPtkFVB2fKfSgdtE++ZTMBvdxwSaF5OggDMcYzRMiLcSEHnn5ltucZB6s4GjLilPVmbs1nxahpnqtpBkUmRpmT6ecJj19AxjaIZYPr+/L1Lk7yK+wsa/UN6WEPzQNHr2gM8ZmOnJIiAhi/kMj2JhXhqrp9EyOrDOb4j/F4dL4Y/MBNueV0SM5klGd45vlyCw2zExsmHcIUv/UFriOKboQZJQxyBL9npkLwCW9E/lsabbXaMigSPRJiSY9Powh7WPomRzJ+I9XkF1UjSxJmAwy717bx2uKZTbIKMdkIAWICDJiVGSeHtuVR37aiEvVPZkE1GNswy5V9xK6QKJJG7r9ce+36/h1/b4aq00cRpLgvC4teXd8n0bpV3PHqWpc/u5SduRXUu1QCTYpdE+K4H+3DWhwMWwsCivtvD1/J6uzSuiZHMndZ6Z5pSL+a9tB/vXNenR0nKpOWmwIuwurPGmXTYdG9Md6X/dMjuSXuwazKquYF2ZtI7u4iq6JEVw7oDUj0+P8CrvbFWav1+rqc5d09YSL7Myv5M/NBwgxubNw3Pm/tdid7tQqQUaZczq35I1xvRriY6oXzXb1zR+q5k5p+sqf2/1GTh9N18RwZvxraCP1rHlxeMk5xGzgwm6JLNpZwMM/bvSJD3v7mt7Nwvvc6lA589UFFFbYcWruEUhksJH5D40g7CjnSbtLZcfBSlpGWBj20vxanRbBbdu5tn8K485ozUVvLfayB8WHm1n6yFkeUVc1nU8W7+bbVTmYDTLdkiLI2FdOkFHh9mGptfqhrc8p5Z0FO8kvt3Nxz0TGD0g5paPYZrv65g9Flrh+YBsGtYthzJuLawyMtBhkzu0qnAlPhOnr8pj000b3Sp4s8+Lv2xjTI9HnB3g4DKI5iNIfm/dTZnV6HCFdmk6V3cWvG/Zxbf8Uz35mg+JZlKipDJPZoGBzqliMMiFmA3eOaMcrf273MVAfLLcza+M+xhwK+n3qt818vzrX80zvKazmiYu6cFW/uh0feyZH8sF1dTtkBgLNb8J/iLS4UL6bMICh7WNoHR3MmR1jCTIqhJoNBBkVeraO5Lahqae6m00Op6rxn18ysDndCcSsTpUKu4uNuWUEH5PW1WSQ6X4KsiycCE5VY8nOQhbvKPQrJvnldp92q1Pju5V76fr4n/R8cjavzt7uVcHkvK4tfYzWqTEhfHFzP+4amcZ/LujMXw+NIC7cwo58/8Hjs7e6S2rZXSrfrsrxeslanSpv/bXjhO85UGl2I6Wj6d4qki9v6Y/NqfLRot3kl9sJsxi5aXAbEXJxghwst/kYdHUdDpTZ6JMSxZrsEpyqhlGRGdo+loHtAtPl4mj2FFZx5XvLPD94i1HmuwkDvfzChnWIZcrcTK/0s4oEWw9UeNo+WrQHRZK475wOADwxpgu/bzrgda3cEisHK+w8dK537uzuyRGsyyn16Vt0iNsY7XBpfks21WWiaIo025HSYXRd57qPV/DWXzvJ2FfOij1F3PfdenYX1J5nSeCfuDALBtn7sZGALonhfH7TGXxwXV8mndeRT27sx3vjewecY54/HvphA4VVdirtLirtLoqqHDz4/QavfTolhHPf2R0wG2TCzAZMioQOXiJldap8sTzb8/f2AxVeDo8ANpfG96tzfPpw5/B2PqMqk0Hm0l5uw3WYxUjnhHAv3zOTInFeMzRBNHtR2ryvnIx95R4PV3eeZJUPF+2p40iBP0wGmScu6oLF6F6WthjdjoT/uaATsiwxpH0Mtw5NZUBqiyYhSOAuV3T0eo6u4w4pOWaRZ+LwdiyffBYf39iPv/9vpN/7O3o0E2w2oB1zDgn8ZhWIjwji/ev6EBlkxGyQCTEp/PfCzvRIjvTs8854d3pci1HGbJDp2yaaRy/odGI3HcA06+kbQEGFHeWYh0fTIa/EN12EoG5yiqtJiwvlpzsGM3+7u0zQmB6JnmlGUyQm1OxTnDQ6xORXdKJCTJzR1p1HaWR6LH9nFnhGS2aDzGW9j2Si7NEqglZRQewuqPL4FJmNMrfUEGt5Vqd41jx2DvkVNqJDTD5561tFBTP7/mHkFFsxGWRaRjTPRIDNXpT6tIny49SmeOKRBPXD4dK46+u1LMwswKi4k5d9cH3fgA3TOR4mn9+Rf//snVFh8ui6RyCvXdWTh37YwF9b85EkGNsziUnnHwmclSSJb28fyHOztrJgez4JEUE8fF46vVpH1XhORZZIiKg5NY0kSY1W/edU0ez8lPzx5+YD3P/dehRJwqFqjOocz9SrezV5pz5d11m7t5Sc4mr6tomiVVTDPazvLdjJq3O8Db3hFgOrHz0noBKEnSgrdhfx5fJsdB3GD0g5LgO9U9Xc5Zqaofd6Q3FaOU/WRLXDxeZ95SREWBr0x9tYOFwa13+ygo25ZUi4/WbuP6cDE4e3a5Dr9XpqNiXV3pkHQkwKX93av9Y3v6D+7CqopLTaSfdWEc02/Okwp5XzZE0Emwz0a9N8Ksr+uCaHDTllXn4rU+ZkclGPxHpnpqwvWYVVlFl9U6FYnSoxp6gMVXOi2uHipk9XsSG3FIPsXkD49KZ+9K5D7LMKq3ji182szymlXWwoj43pTM+jDONNleYtx82YvzMLfLzVjYrE2r0lJ/1aO/MrfZa2wR0Amhzd9EadZdVOcoqrfVbXThVvztvJ+pxSbE6NSruLMquT2z5f7dcv6TDVDheXvLOEv3cUUGp1smZvCdd8uJyc4qa/gHPajJSaGx3iw5i/Ld8ruFPVoE09qr3Whyq7i98zDlBuddKjVaTPD0SRJW4a3OakXKuxcKkak3/axPT1+5Bl96rbh9f3pVNCeINcz+ZU+XFNDkt2FtElKZzx/VOIDPZdpfx9836fEBOrU2VPYSVpcWF+zz1ny0EcLu2Y9CUaP67J5f5DzptNFSFKTZQbBrXh6xV7qbS7sLs0gowK/VOjjysZXLnNiVGWCTomPCSnuJqxby/B5lRRNR0JOLNjHPO356Pr7nQbiRFB3DykaYXpfL4smxkb97nT0apu7+obPlnJ8sln1buEtUvVmLFxP4t3FpIeH8ZVZyT79TvSNJ1xHy5n2/4KrE6Vv7bl89Xyvcy+f5jP/i3DLWQVeo9wXJpOlB8BO4zVofokhFM13Su7ZFNFiFITJSbUzOz7h/HV8r3sKqhkeIdYxvasn5tDfrmNO/7nzjktSXBRj0Sev7S7ZxXthd+3UVrt8HroF+4o4IeJA1mTVUJSVDAj02Ob3GrTtDW5XqlswT0i3HqgnC6JdYu5ruvc/NkqVmeXUO1QsRhkHrzhEiqyNnLnnXfy9ttvM2LECP7++2+fY1MmzWDftnXERl6Iw24jLi6OzVu28suWUqb/+3JsRfu89pdkhRbPHBGYtLQ0iouLKS4uxmAwYDQaSX7ge0Am5/WrkS1hpN39McNaB9GrVy82btyIruukpKTw119/0bZtYOWhrw0hSk2YFqFm7j27/XEfd+Onq9h6oNwz9J+5aT8JEUGeeKx1e0t83sK6DqFmIzcODoyH2+5S+XjxHmZu3E/LcAv3nNW+TiNvZLDviMal6TXWbTuWtXtLPYIEUO1wUJGdAZLE119/zdtvv80vv/xCWVkZoy66nMxNa0ma8KHn+ILF3+Gw25k7dy6jRo3isvueJr/NKFpc8zI4bRz85t/otgpe+vpPLuubUlM3ALDZbCRv+JSyAXeQgzs/2BMXdeWuay8gMzOT77//nqqqKm666SZGjx7N1q1b63WPgYAQpQDn1/V5vDYnk5JqJ2d1jOPxMV2I8PPjqi+zNx9gy37vYgk2p8aPa3I8otQpMZz95Taf0IuEAPIgvuOrtSzdVYjNqbF5XzmLdhbSIS4Uh6oxrEMsXRMjSG8Z5mUvumtkGuv2lnhGSyaDTN+UqHob64+Nlyxf8RPoGr0vuom1v37KnDlzOOecc4iMjKRFhNu2Z4g4UrqoRa9R5O1ezdVXX43BYGBvRE90p4YhOAKIANldg/CBS4fU2RdZlpk/6xd2vP4KfV81Eh0dzBV9krh60yZuueUWLrvsMgDS09Pp1q1bve4vr9TKrvxKOiWE+2TWbEyEKAUw87YeZNK0jZ4f0W8b97G7sIpf7hrstZ+u6+g6NdpFXHY7xZmZyAYDz8zwrbwLeIU0TD6/Eyv3FONwaThVDbNBZvLojn5X4E4FOcXVLN1Z6IlnBLffVsY+t9hmHqxEkSVMisTIjnG8Na43siwxOC2Gd8b3YcqcTAor7YzulsADx2EU7pMS5WXwr1w3CyW0BaWdL0Oa+SX3PvQIWzacA7hdUGRJwmxwp8RVdSjfMhuAwsJCbrvzX8zM34WEjCH0iKtKfdcDBw0axPLly7nkkouRJHdM3eHRULt2R3zV+vfvX+e5dF3nyd+28M3KvZgMMg6Xxr/Oas9dI9Pq2ZuTixClAOaDhbt9yvlsO1DO7oJKUmND0TSdV2Zv59MlWdhdKsPax/LqlT1ocYzv0IG1azGHh2OwWMgpsfq91m3DjkzL0uJCmf/QCKavy6PU6uTcLi2Pu5pKQ1JYaXfbs2qphqxqOlZNZ8H2AmZvOcB5Xd0J/kemxzEy/cSSzqXGhjKyYxx/ZhzAUbIPtaIQgN0vXAjA1o3ryD5YQkq8279IkmD2/cNYn1PK8t/+xwtbV/PJJ5/wzjvv8NG7b6LrOuH9LydqxI2e/RW5fnY6s9nMI488wjPPPIOiKERHR9O+vXsqn5mZ6dnvv//9Lx06dGD8+PE1nmvZriK+X52D3aV5VgHf/GsH53SOp0O8/9W/hqRpWSpPM/xlzZSlI4UKP12yh0+XZGF1uldiFu8s5LYvVgPuH+XqrGLW55RiiYxE1zQi2rhLOR9LixCTV/ZEcBvSbxmayoOj0gNKkAC6JEZQ3wihaofKG/N2sDG31NNWZnXy8I8b6PP0HM557W/+yDhQ8wmOYsnOQv7eno8OGBZPASD28seJvfxxos+9B9C568FJXsektAhhbM8kwg3u77KyspL77rvP4yMVHhlFiEnBbJCxGBUsxvr/JJ9++mliY2NRVfe5TSYT6enpfPPNN/z888+8//77PPPMM7z55pu1nmdBZoFP1lBNh8U7Cuvdl5OJGCkFIPnlNj5bmoXTpWJUpCMlniWICjbRsaX77fXl8mwv4XJpOhl55azcU8TdX6+jyuECHWJCjEzpbSSum8QLl3Xnhk9WelJqyJLEO9c2jbxHhzEZZD68vi+3fbEaTdexOjU0Ta9x6rNlfwVXvLeUa/un8N8xXbjhk5Vs3leGU9UpqnIw8as19G8bzetX96o18v79eRuwOjWilDIyMjNRIuIJbtfPs710wccsnPEj8IHPsZMnT2b69Once++9ALRv3x6LxUJl5jx++OQVwiwGzv7BwkFb2XF9Fl9++SXnnXee5+8FCxZw1llneWxKaWlpzJkzp9ZzJEVaCDIqXs+SUZZIjDw1NsTTJvatqZBfYWPUlIVU2V04VR1FAg1QJIn28aG8c20fz2jnzFcWsLvQuwyzSZFpGxPM9oNHjLIScEaMzJvntiKybVuKVYXfMw6g63BB9wSvihxNCYdLY+v+csIsBib/tJEVe+r2Zk+MtFBYacfh8n2uW4ZbWDRppP+4s6I1jP0shw0FRoySkxaGMg44YzybJQkiLEaWPHImIebAedfbXSr/W76XOVsOkhobwoRh7TxZBvIrbOSVWEmItDDmjSWUWh04VR2zQSYhwsLs+4c3WLC1CMhtQrz85zY+XLjHq958kFHm4xv7MahdjNe+Xy7L4rlZ2zxvOKMi0Ss5klVZJT6jBlmCWX1tmEJDcVW7HfWMwcHIBu8fUNXBg7QeOZLQhISTf3MNSJnVSb9n53oq1J4IoWYDr1/dk7M6xfts0zNeYODP3Tjg/Q5AkSDEbKBnciRPXNSF1OMord4YXPvRctZkl2BzaigyBBkNzPrXED5atIdvV+dgUmRUTeexCzuxu7CKDTmlDEhtwa1DU8kvt/Hy7O1sP1DBwNQWPDgq/aStytUmSsKmFGDsKqjyEiRwr6oVVzl89h0/IIW7z0wjMsiIySAzqnNL3r+uL/5mYpoO8eeNIfXcc0kbM4bk4cOJ6dqVFp06Ed2xI9Hp6UR16EBY69YUbNyIyWSid+/eANx8881IksTAgQMBuPTSS5EkCYfDgaZpGI1GJEmisPCIDSItLY3oaN8AaIPBvex9/fXXAzBu3DgkScJoPOLmsG/fPiRJwmTy9miOjIxEkiTPP6PRyEsvvcTUqVOJDDax49nRZL94oedf+apfPMeWr/qF7BcvxL4vkwNfP0L2ixdSuWkeAEV/vk32ixei6zqVdheTJk0iKCgISZIICg5m0lMvstp4KUVW3xf0yI5xbHziXL64pX/ACdLmfWWszS711J1TNXfoy3+nb+bHtbk4XO5YO6tT5cnftjBxeDt+mDiIB0elH4qtW8qcLQfJLqrmxzW5jH178T8S/foiRCnAOLNjHEHHLL27VJ2+Kb4/cEmSuGtkGusfH0XmM+fz9rW9iQoxYfYz/ZClI/XoZYOBoOhowpKSCE1MJCwpibBWrQhPTiaxf38MFgsJ0dHs2OGulDF//nwAMjIyAFi7di0xMTGYTCZeeeUVXC73eSdPnlzv+zzs9bx48WKfbZMnT0aSJJxOJ6+//rrXttTUVLKyssjIyCA8PJynnnqKiRMnkpWVxdNPPw3A8InPknzHJ4T1Gu332ofLaxfPeQ/tqASAqq6Tu2IWL730EqMvG0ebW6aiGkN56fFHuOGTDTg1X7Vfk10SMIG9x7K/1OaTM8yl6WzZX+5j2DbIEkt3FXn+/m5VDnaX6vFVc2k6ZVYnC7bne/bZXVDJ96tyWL676KR+BkKUAoxLeiVxRtvoQ+Wg3Ksyj5zfsd6pT3Xdt0QzuO1KydF1pzRZ+vjjFGzaRJ/OnamsrKSyspK9e/fSvn17Kisryc/PJy8vj1693NVV33nnHZKSkkhPT+e7776rVx8jIiLIzc1F0zTy8vKIiPBe3fvpp5/o3bs30dHRTJ061WubwWAgJSWFTp06eUYzFouFlJQUz8jsmWuHsXXKdXwzcQiju7bk6J+le9nd3aI7rZTPfcfz94fX9+Xt16cQERHBnvRx6DFpxF37Mgm3vke15N/BsvJQealApE9KlE9ZqCCj4teAXeVQmb35AK5D+xdVOrwS+oG71H3poZxaU+dkcv7ri3j8183c/Nkqrnx/GXZX7YU364sQpQDDqMh8fvMZ/DBxIC9f3oOFD4/kpuMI7XComk9ZaHBP3+qzwhbcsiX5mzbRNyYWgPvvvx9N0/joo48AeOKJJ3C5XFx00UVkZ2eTnZ3NrbfeygMPPEBFRQUzZsyo8xqdOnVC0zTP0njHjkdSyM6aNYvKykoee+wxrrnmGrKystiz50iRh8zMTCRJQlEU8vPzeeWVV/xeI8io8OmSLBZkFnhVCemeFEGXxHAMBgODBw+mYsNshrdxC87Q9rEUFhYSGhaO7ZCdzhAeg6lFqxrvxSBDToDme48KMfHiZd2xHKrAYjHKDGzXosYac3O2HOCV2dsBOL9bS58Ru6brDE+PZW9RNe/+vQu7S8PqVKl2qGTklfPT2ryT0m8hSgFK16QIzu92/CtjZoOC4kd7dKDc6sDuUpm+Po835+1ghZ9hd073kUyKHs2HbccDEp99/jkmk4lhw4YRHR3Np59+CsD111/P//3f/wHw5JNPMmHCBAAef/zxOvsYEhJCSEgI77//PuHh4VgsR+7x8PEXX3wxb731FgAPPfSQZ3tycjLvvfceiqIQFRXFdddd5/caCzLzWbKriGqH6qlqC3BF32SPZ/ovv/yCJEnM+vUXz/aoqCgqyss8if6tezdRPPd9NEc1/iRd0yW/U+tA4eJeSaz499m8dW1vZtwzlJsGt0Hyeydgd+l8vWIvAIPaxXDH8HbuyipmhWCTwqtX9iA+3MK6nBIMxzxkVqfqt3TUiSBEqRkSVkOA6fxt+Yx+fRGTf9rElLmZ3PjpKv7zS4Zn+66CSh6Zl0uZbgBdRw6NwuV00rqtO9ygX79+2Gw2wsPDCQ8PZ8aMGbRv356ZM2cyc+ZMBg4cyLp16ygvd4d7uFwu5s2b5/lXWXnkDd25c2ccDgddu3b1tNlsNtauXcvQoUM950xNTWXmzJmefYKCgpgwYQJvvvkm+fn5XHDBBX7vdf3eUh+7CUBmfoXn/zExMdxzzz0emxjAvffeS3l5OZHrvkA/mEnh9BeoWDsTiyIzoq3B83NWJHfdtX+P7hTwVUUigo0M7xBLWlwowSZDrfafowOx/3V2e1Y9ejbT7hjE2kfPZkBqC+wuldSYUDQ/9u5NuWVsOglT2cBxqBCcNPqkRDFvW75P+3erc8krsXpixqxOlZ/W5nLz4DakxYUxc8N+nKqOpKl03vAnB+PTsFaupCiqMzvzKxk3bhx//vknXbp04ccff8RqtXLbbbcxerTboBwcHMzIkSP5z3/+A0BFRQVnn3225/rffvut5/+jR49m1apVjB492uPc99RTT6FpGk888QRnnnkm4I7neuihh/jgA2+HxDvuuIPPP/+cBQsW8Pvvv3P++ed7bU+LDyPYpPgIU3JUMCuO+nvKlCl89tlnlJaWAnDnnXeybds23n//fRyObzGYgxh155O8cn0UXToNwClZ2JJXzv5yG71TIokLC2xBOpZeyZG0jLCQXVTtGQ0exmKQufSoElHgrlG3y1HJWa8tdJcrkyXuPjONtLhQNuV5C5Cq6Xy7ai/dWtUvALgmhJ9SM+TPjP3c/fU6r2mLIkGQSaHS7v0jDTEpPH9Zd8Z0T+DdBTuZMncHTlXHZKvEYTmyxD26a0veGd+n0e7hn+JwaVzyzhJ2F1ZhdagEmxTSW4bx48RBx1/FpmApOKsh8ey6920CFFXaeXamu+yTqutU2lRkGS7p1YqHz+vA63N3MmfLQWLDzPzrzDQe+GGDZ+UW3Pa6Gwal8OmSPdiPckKVJbimf2ueubhuURLOk6cZLlXj4neWsCu/ym/83NGYDTK9U6JYubsYgyLh0nS/uaHbxYYw78ERXm26rmN3aQGTPeBYbE6VGRv3szG3lF6tI7mgW+LxeyhrLihaCeEdwRy4tqO6mLPlIG/P30mV3cXlfVpxy5C2niR9h7OLyrLEJW8vIeNQCM5hZAmf/FrndIpnRVYR5dYjYmUxyvw4cVC9YiWFKJ2G2Jwq09bm8umSPewpqOLYBTkJsBgVwiwKJVVOz6jKpMCxphiDDJf3SeaFy7p72r5ekc0Lf2yj0uaiXWwoU6/uWa/sjU2O4g2gVkPswFPdkxNm5sZ9PPjDBo8TpcUoc3HPJK/vE2DHwQouemtJnS8ygMt6J3HbsFQe/nEjGXlltIyw8PiFnTm3a/0iAYRH92mIxahwbf8U2sWG+giS2SBzYfcE3hjXy0uQwC1IUcHGQ1HrMpLkzhAybW0u93y9FodLY+muQp6esZVyqwtNhx35lYz7cLlnGb3Z4LJC+TYIDYxsmyfK1Hk7PIIE7qR+P63No9Lunc+7wu6q99Q2MshAx5bh/Hr3EHY/fwFLHzmr3oJUF0KUmjlnd4r3SYfhcGnM25bPm/N24C+2PtRsYNGkkUQEGT1Zx5yqzuwtB3nzrx18tyrH522qae7UHs0G1QFlGW5BCmp5qnvzjyir9q3ZB/gUGeieFFHv6e3HS7LZW1RV944ngBClZkx+hY1PFu/xxCsdfgfquPMMbcwrQ9Pd07PDBBllbhzUBlXTKa12ekmW3eV+wxoV2W98XVMrJFAjmgqlGwAJYs441b35x4zuluAlNpIErVsE+6wcGhSZV6/oUYMXky+fLc06eZ08imbyFAn88fAPG8nMr/AYKf1ZB42KTHrLcEyKTLjFwIRh7bhpcFuCjAr+zImhFgPXDUjBfNRDLh9a2RvUrkXD3EhjU7gSVCdEN53Vxtp4+Lx0+reNxmyQCTIqJEcF8+H1ff3uuya7mPq+W2orlvlPEH5KzZhFOwtR6wjqdrg0ereO5Je7BnvyCOWX2/h8WRbRIUYKKx0ef5Ygo8zdI9PokRzJm+N68czMrRwos9G3TRTPX9Ldfx6ipoaugWJyr7Y1ocR3tRFsMvDlLf3ZX2al2qGSGhPiFXJU7XAxbU0u63NKyS6uri3LsBe3DW0YW5tYfWvG9HhyNmVW//aEYwkPMvDG1b3olBDOuVMWUuVwJ5kzyBKKLJHSIpi7R6ZxUc+kuk/WlLHmQ9UeiKk74X5zwOZUufDNxeSVVGN1apgMMk6XVmcBg2CjxJan/WdhqA9i9e005c6R7XyCKmui3Opi4ldreGfBTo8ggTtlhSRB/7bRvPv3Lm75bJVXvutmh+ZsNiOk+jBr0372lVo9BSocLg2DLGGQJULNBoJNCv86Kw2LQUaW3B+N2SDxxriGm9qKkVIz47tVe5kyZwflNicjOsQiyzBjY/0S44eYDbRpEczmfd514RTJ/WY7Mo1T+PGOgc3TL8le4nYDaMJ+ScfDS39s450Fu7zaDIdCSc7uFE9aXCgWo0J2URU/r81D1XXG9kwiLe6fJbSrbaQkbErNiD8y9vPEr1s8y/Vzthz0m1upZnT6pkSxu6DSq7STqsPRVm+bS+W9Bbt485reJ6nnAYTuBENgZZBsSPq1iSbYlOUVI2hUZIakxXh5Zqe0COG+46iR908Q07dmxIcL93j5Dzk13Sc8oCYUCeLCLEw6vyM9kiMJNimEmBWMiruo49HoOuwvs53Mrp9anEcyB2AvAdlU877NjOEdYhmRHkuQUSHoUImni3om0icl6pT1SYyUmhFOP/kkJHxdAdrHhXJ+15ZkF1cza5M7M4DRIHPvWe0JNhn45rYBbMgtI7ekmm5JEYx+YxEO9YjYBRllxvZMbNibaSx0HRzloNrAHOMOKWnizpLHgyxLvHNtHzbklLL9QAVdkyLonBhe94ENiLApNSO+X7WXx4+avskSxIdbKLM6kCUZ0AkyGfjpjkEAnDPlb6/wA4tRZs79w0mO9k79unRnIRO/WoOmg1PVGNU5nilX9Ww+zpKqDWxF4CwHezHE9gdZvK8bEhGQe5qg6zpT5mTy4aI92F0qPVpF8sa4XkSHmFi0owCzQWFwWoy7mOPC3bz853avyikGGW4bmsoNg9r6JC5zuDS2HSgnNsxMQkTdub6bHLZCKN8F4WlgaSZOoAGMEKXTDFXTcaq1pxT5bMkenv99m6cEOLinesohv6RerSP54Pq+hNeQxbJZYisGcyRIzWQEGMAIP6XTDEWW6sxxdGGPRK+E+uC2Pbk0d46kNdklPPnr5gbsZQBiiRaCFACIb+A0JSbUzLe3D6RHqwiCjL6PweGsAAJBYyOmbwKcqkbXx//0msoBJERYWDb5rFPUK0FzRkzfBLViVGTGD0jxGjEFGRXuHpl2CnslOF0RIyUBAJqm89nSLL5euRezQeb2YamMbe7Bt4JThlh9EwgEAYWYvgkEgiaDECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBhRAlgUAQUAhREggEAYUQJYFAEFAIURIIBAGFECWBQBBQCFESCAQBheFUd6C5oes6ny/N4oNFu7E5NS7umcjD53XEYlROddcEgiaBpOt6zRslSa9tu8CXL5Zm8fzv27A6VQDMBplzOsfz1jW9T3HPBILAQZIkdF2X/G0T07eTzAeLdnsECcDu0vhz8wGq7K5T2CuBoOkgROkkY3dqfttdqhhxCgT1QYjSSeayPkmYDUc+VoMs0aNVJBHBxlPYK4Gg6SBE6SRz/zkdGN0tAaMiYZAlerWO5J3xwp4kENQXYehuIKwOFaemEW4RIySB4FhqM3QLURIIBI2OWH0TCARNBiFKAoEgoBCiJBAIAgohSgKBIKAQoiQQCAIKIUoCgSCgEFkCTgHzth7kvb93YXWoXN2vNdf0b40s+10dFQhOO4SfUiNQaXex/UAFraODWb67kId/3Ij1UIxckFHmmv4pPHZh51PcS4Gg8RDOk/+QhZkFfLx4DzaXyrX9UxjTPQFJqt/I5ofVOTw2PQOjLGNXNSwGmXKbd8YAs0Fmw+OjRM4lwWlDbaIkpm918Nv6fTw8baMnHcnGnDKyCqv411nt6zx2X6mVR3/JwO7SsOEeGTlcvlkEVE1n6c5C4iMsdE4Ir7fgCQTNETFSqoNhL81nb3G1V1uQUWHTE6MwKLWvE3y/Oof/Ts/Adkw6EwnQj/q/JEGwyYCq66TGhPD1rQP8ZhUoszqZOjeTBdvzadMihAdHpdM1KeIf3J1AcGoQYSb/gKJKu0+bQ9Ww+xnxHIuq6T6CdBizQSbYpCBLoOluu5PVoZJ5sILnf9/qs7+u61z5/jK+Wp7NnsJq5m8v4Ir3lrEzv/L4b0ogCGCEKNXBsA6xKEetjElAh/hQQsy1z3x/XZ/HE9Mz/G7TgcQIC+9f18fr3ABOVeevbfk+x6zJLiG3uBrnUcni7C6VT5fsqf/NCARNACFKdfDU2K5EBHkL0KW9kmo9Zt3eEiZN24i9lmyTe4qqyS+3+bUfRQYZ+XldLquyirE6XNicKiXVTp99NR0KKnxHcgJBU0YYuutgx8EKqu1Hcm7rwCuzMxnTI4mWERa/x3y7KgdbPaZ3k3/OYHTXeH5Zv9+rPTO/kkembcKpami6O3vlyI6xuFTvcwaZFMb2rF0gBYKmhhgp1cGMTft8BEaWJBZmFtR4jHToX12oms7+Mjv+FtvsLrcgAbg0nb8zC+nbJopwi4EQs4LZIHNV32RGd2tZ/5sRCJoAYqRUCwszC/hpbZ5PuyTpRNaSc/ua/q35aW0ujjqKBei6TkGFnfoscDpcGquzStj4xLnsLqwkPsxCVIip7gMFgiaGGCnVQEmVgwlfrvG7euZw6ZzRNrrGY7u3iuSczvF1XiMxMojzu7bEqNTPL8mgyJgMMh1bhgtBEjRbhCjVwMIdBdQUjmaQJaav31fr8Vef0ZpgU80e2rIEv987lIkj2pEaE1pnfyxGmfEDWte5n0DQ1BGiVAOhZkONntU2l8b6nJJajx+SFsPI9DgsBtnHvmSQJS7t3Yowi5Ewi5Hf7x3Kv0d3xN+ASQKig41MGNaO/zu344ndjEDQhBA2pRoY2j6WULOBaruLYydwQUaFvik1T9/A7bH61jW9WJ9TyoLtBXy5LBu7S0XTIS0ulMcuOBKAK8sStw9rx3ercthVUOV1nmCTwle3DqBzYvjJujWBIKARolQDJoPML3cN5tmZW5iz5SCOQ8vxFqNCSotgLuvTqs5zSJJEr9ZR9Godxb/Oas/mfWUEGRXax4f53T8xMshHlFyaTkyYsB8JTh9E7Fs90HWdlXuKWZ1dQmpMCGd3jsdYR9zbibAmu4TxHy3H5tTQcac1ObdLS6Ze3eukX0sgOJWI1CUNhK7rNdqdXKrGnC0H2Xaggu6tIhiZHlevRG4bckp5d8Eu8ivsjO2ZyLX9W9cZ+CsQNDWEKNXCxtxSPli4m+IqB5f1bsUlvZJqFY+8UivvzN/JrE37Kal2khoTwouXd6dfmyM2JqeqceX7y9h+oIJqh0qwSeGMNtF8cmM/kWFSIECIUo2s3FPM9Z+swO6ZLilc0acVT13c1e/+87flM+Gr1Thc3p9JkFFh4cMjiQ0zA/Dbhn1MmraRaseR8BSzQeaj6/sytENsg92PQNBUEKlLauCV2ds99hsAq1Pl29U5lFU7AbcX9fer9nLX/9YydU4mD36/zkeQ3Oj8sfmA56/N+8q8BAncYSOPTs9A1ZqvyAsEJ4PTevVtX6nVp80gSxRV2dlfZuWy95ZSZVf9HOnL0ZLfLSkSs0H2ybl0oMzG3K0HObeLiFcTCGritB4pnd0p3ifE47AX9pg3F9VfkCSJ87seEZpzu8QTd2gqdzR2l8bGnNIT77BAcBpwWolSSZWD+79bT88nZ3PWqwvo0SqCji3DCTYphJoNhFkMvDe+D58s3kMNCSMBvMJPWkcH89Wt/WkRekSEDIrMkxd1wWTw/njNBpmOCf59lAQCgZvTZvqm6zrXfLScnQcrcWo6pVYn//45gw+v70NksIlym5PeraOwGBXemLejxvO0DLdwTf/WWIwyY3smER/uP6fSiPQ4ereOZOWeYk8KEqeq8XvGAS7sniiKAwgENXDaiNK2AxXsLqzCeZSh2epU+WjRHt67rg/7Sq089MMG5m8v4Ehaf28UCV68vDvD67GCJssSV/drzdq9pZ4KJpoOC7YXsCa7hL5tag9TEQhOV04bUaq0ObH7mZNtzC2jx5Oz6ywEYJAlfpg4kF6to+p9zY25pT4llVyazsbcMiFKAkENnDY2pUq76jcbZKnVUa/KJGaDzL5S23Fds2tShE/6EoMsCbuSQFALp40oqZpOkJ/8RvV1G1I1nVKrw6fdqWpk5JVxoMxXsC7onkBqbIhHmA57dg9MbXF8nRcITiNOm+nbkPYxGI4J8Thcc60+6MDI9DivthW7i7j9yzW4NA2XqjOqczxTrurpiVUzGxR+umMwf2w+wPYDFfRKjmRkxzhh5BYIauG0CjPJyCvjvm/XsbuwilCzgbE9k/hxTa6nJLc/JNzpSl68rBsXHVU5xO5S6fvMXCpsLk+bxSjzyHkduXFw24a8DYGgySNi347B5lQxKTKyLDFj4z5em5NJfrkNq1ND13U03S0wl/dO4vqBbWjdIgSL0XvqtzqrmBs/XUWl3eXV3qt1JD/fObgxb0cgaHKI2LdjsBgVT7T+hd0T+evBEaTFhaFqumc6Z3Nq/Lg2z68gAUSHmHBp3gZyCYgP8++3JBAI6sdpKUr+yCmu9mnTdSg9FJx7LKmxofRNicJ8lNe2xShz58h2DdZHgeB0QIjSIQa1a8GxudQig41+Y9gO89EN/bhzRDvS48MYkR7L17cNoHuryIbtqEDQzDktbUr+yC+3cem7SympdiAhoes6n918hlfyNoFAcHIQhu56omo6K3YXUWl3MTgthhDzaeMxIRA0KkKUBAJBQCFW3wQCQZNBiJJAIAgohCgJBIKAQoiSQCAIKIQoCQSCgEKIkkAgCCiEKAkEgoBCiJJAIAgo6nRZFgnJBAJBY1KrR7dAIBA0NmL6JhAIAgohSgKBIKAQoiQQCAIKIUoCgSCgEKIkEAgCiv8H3xY/pre3tokAAAAASUVORK5CYII=",
"text/plain": [
"
"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"draw_dynamic_map(Ys, show_arrows = True, show_last_positions_only= True, highlight_trajectories = ['WALMART INC', 'AT&T INC'],\n",
" labels = names, highlight_labels = ['PFIZER INC', 'MORGAN STANLEY'])"
]
},
{
"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": 17,
"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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]
},
"metadata": {
"needs_background": "light"
},
"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": 24,
"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": 25,
"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": 26,
"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)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
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\n",
"
\n",
"
\n",
"
4
\n",
"
0.00100
\n",
"
1
\n",
"
0.831836
\n",
"
0.014704
\n",
"
0.558148
\n",
"
0.641777
\n",
"
\n",
"
\n",
"
5
\n",
"
0.00100
\n",
"
2
\n",
"
0.834073
\n",
"
0.011675
\n",
"
0.831560
\n",
"
0.640055
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" alpha p cost_static_avg Misalignment Persistence Hitrate\n",
"0 0.00001 1 0.797206 0.074205 -0.214033 0.658114\n",
"1 0.00001 2 0.799421 0.058934 0.005587 0.656630\n",
"2 0.00010 1 0.805572 0.037886 0.109157 0.655568\n",
"3 0.00010 2 0.815860 0.029201 0.538365 0.650385\n",
"4 0.00100 1 0.831836 0.014704 0.558148 0.641777\n",
"5 0.00100 2 0.834073 0.011675 0.831560 0.640055"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_grid_results"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.082Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"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, ax = ax[0])\n",
"sns.barplot(x = 'alpha', y = 'Misalignment', hue = 'p', data = df_grid_results, ax = ax[1])\n",
"sns.barplot(x = 'alpha', y = 'Persistence', hue = 'p', data = df_grid_results, 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": 29,
"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: 235.02 -- Gradient Norm: 0.2881\n",
"[EvoTSNE] Iteration 100 -- Cost: 229.98 -- Gradient Norm: 0.2061\n",
"[EvoTSNE] Iteration 150 -- Cost: 228.48 -- Gradient Norm: 0.1105\n",
"[EvoTSNE] Iteration 200 -- Cost: 227.98 -- Gradient Norm: 0.0354\n",
"[EvoTSNE] Iteration 250 -- Cost: 227.79 -- Gradient Norm: 0.0557\n",
"[EvoTSNE] Gradient descent with Momentum: 0.8\n",
"[EvoTSNE] Iteration 300 -- Cost: 17.85 -- Gradient Norm: 0.1069\n",
"[EvoTSNE] Iteration 350 -- Cost: 17.33 -- Gradient Norm: 0.0118\n",
"[EvoTSNE] Iteration 400 -- Cost: 17.20 -- Gradient Norm: 0.0077\n",
"[EvoTSNE] Iteration 450 -- Cost: 17.14 -- Gradient Norm: 0.0054\n",
"[EvoTSNE] Iteration 500 -- Cost: 17.11 -- Gradient Norm: 0.0049\n",
"[EvoTSNE] Iteration 550 -- Cost: 17.09 -- Gradient Norm: 0.0047\n",
"[EvoTSNE] Iteration 600 -- Cost: 17.02 -- Gradient Norm: 0.0071\n",
"[EvoTSNE] Iteration 650 -- Cost: 17.00 -- Gradient Norm: 0.0043\n",
"[EvoTSNE] Iteration 700 -- Cost: 16.99 -- Gradient Norm: 0.0035\n",
"[EvoTSNE] Iteration 750 -- Cost: 16.95 -- Gradient Norm: 0.0031\n",
"[EvoTSNE] Iteration 800 -- Cost: 16.95 -- Gradient Norm: 0.0019\n",
"[EvoTSNE] Iteration 850 -- Cost: 16.94 -- Gradient Norm: 0.0018\n",
"[EvoTSNE] Iteration 900 -- Cost: 16.93 -- Gradient Norm: 0.0026\n",
"[EvoTSNE] Iteration 950 -- Cost: 16.89 -- Gradient Norm: 0.0037\n",
"[EvoTSNE] Iteration 995: gradient norm vanished.\n"
]
}
],
"source": [
"Y_t = model.set_params({'alpha': 0.001, 'p': 2}).fit_transform(Ds)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.086Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"draw_dynamic_map(Y_t, c = sic_codes)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.089Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 31,
"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, \n",
" title_str = \"Selected Trajectories (after tuning)\", 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": 32,
"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": 33,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.094Z"
}
},
"outputs": [],
"source": [
"from evomap.preprocessing import normalize_dist_mats\n",
"Ds_norm = normalize_dist_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": 34,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.097Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[EvoMDS] Iteration 107: gradient norm vanished.\n",
"[EvoMDS] Iteration 24: gradient norm vanished.\n",
"[EvoMDS] Iteration 96: gradient norm vanished.\n",
"[EvoMDS] Diverging gradient norm at iteration 71\n",
"[EvoMDS] Adjusting step sizes..\n",
"[EvoMDS] Iteration 497: gradient norm vanished.\n",
"[EvoMDS] Diverging gradient norm at iteration 22\n",
"[EvoMDS] Adjusting step sizes..\n",
"[EvoMDS] Diverging gradient norm at iteration 74\n",
"[EvoMDS] Adjusting step sizes..\n",
"[EvoMDS] Iteration 672: gradient norm vanished.\n",
"[EvoMDS] Diverging gradient norm at iteration 11\n",
"[EvoMDS] Adjusting step sizes..\n",
"[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 40\n",
"[EvoMDS] Adjusting step sizes..\n",
"[EvoMDS] Iteration 1999: gradient norm vanished.\n"
]
}
],
"source": [
"from evomap.mapping import EvoMDS\n",
"\n",
"param_grid = {\n",
" 'alpha': [0.1,1,10], \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": 35,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.099Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"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, ax = ax[0])\n",
"sns.barplot(x = 'alpha', y = 'Misalignment', hue = 'p', data = df_res, ax = ax[1])\n",
"sns.barplot(x = 'alpha', y = 'Persistence', hue = 'p', data = df_res, ax = ax[2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From this graph, alpha = 1 and p = 2 seem reasonable. For higher values of alpha, static cost rises substantially. "
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.103Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[EvoMDS] Diverging gradient norm at iteration 71\n",
"[EvoMDS] Adjusting step sizes..\n",
"[EvoMDS] Iteration 423: gradient norm vanished.\n"
]
}
],
"source": [
"model_MDS.set_params({'alpha': 1, 'p': 2})\n",
"Ys_MDS = model_MDS.fit_transform(Ds_norm)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.105Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"draw_dynamic_map(Ys_MDS, show_arrows = True)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"ExecuteTime": {
"start_time": "2022-04-14T14:38:18.107Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"draw_trajectories(Ys_MDS, labels = names, title_str = \"Selected Trajectories (MDS; after tuning)\", period_labels = years)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## Special Cases, Extensions and Troubleshooting\n",
"\n",
"**WORK IN PROGRESS*"
]
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