{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## COMPAS Analysis using Aequitas\n", "\n", "Recent work in the Machine Learning community has raised concerns about the risk of unintended bias in Algorithmic Decision-Making systems, affecting individuals unfairly. While many bias metrics and fairness definitions have been proposed in recent years, the community has not reached a consensus on which definitions and metrics should be used, and there has been very little empirical analyses of real-world problems using the proposed metrics. \n", "\n", "We present the Aequitas toolkit as an intuitive addition to the machine learning workflow, enabling users to to seamlessly test models for several bias and fairness metrics in relation to multiple population groups. We believe the tool will faciliate informed and equitable decision-making around developing and deploying predictive risk-assessment tools for both machine learnining practitioners and policymakers, allowing researchers and program managers to answer a host of questions related to machine learning models, including:\n", "\n", "- [What biases exist in my model?](#existing_biases)\n", " - [What is the distribution of groups, predicted scores, and labels across my dataset?](#xtab)\n", " - [What are bias metrics across groups?](#xtab_metrics)\n", " - [How do I interpret biases in my model?](#interpret_bias)\n", " - [How do I visualize biases in my model?](#bias_viz)\n", "\n", "- [What levels of disparity exist between population groups?](#disparities)\n", " - [How does the selected reference group affect disparity calculations?](#disparity_calc)\n", " - [How do I interpret calculated disparity ratios?](#interpret_disp)\n", " - [How do I visualize disparities in my model?](#disparity_viz) \n", "\n", "- [How do I assess model fairness??](#fairness)\n", " - [How do I interpret parities?](#interpret_fairness)\n", " - [How do I visualize bias metric parity?](#fairness_group_viz)\n", " - [How do I visualize parity between groups in my model?](#fairness_disp_viz) \n", "\n", "\n", "We apply the toolkit to the COMPAS dataset reported on by ProPublica below.\n", "\n", "### Background\n", "\n", "In 2016, ProPublica reported on racial inequality in automated criminal risk assessment algorithms. The [report](https://www.propublica.org/article/machine-bias-risk-assessments-in-criminal-sentencing) is based on [this analysis](https://github.com/propublica/compas-analysis). Using a clean version of the COMPAS dataset from the ProPublica GitHub repo, we demostrate the use of the Aequitas bias reporting tool.\n", "\n", "Northpointe's COMPAS (Correctional Offender Management Profiling for Alternative Sanctions) is one of the most widesly utilized risk assessment tools/ algorithms within the criminal justice system for guiding decisions such as how to set bail. The ProPublica dataset represents two years of COMPAS predicitons from Broward County, FL." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lorenh/Documents/DSaPP/.aequitas/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.dtype size changed, may indicate binary incompatibility. Expected 96, got 88\n", " return f(*args, **kwds)\n" ] } ], "source": [ "import pandas as pd\n", "import seaborn as sns\n", "from aequitas.group import Group\n", "from aequitas.bias import Bias\n", "from aequitas.fairness import Fairness\n", "from aequitas.plotting import Plot\n", "\n", "import warnings; warnings.simplefilter('ignore')\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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entity_idscorelabel_valueracesexage_cat
010.00OtherMaleGreater than 45
130.01African-AmericanMale25 - 45
240.01African-AmericanMaleLess than 25
351.00African-AmericanMaleLess than 25
460.00OtherMale25 - 45
\n", "
" ], "text/plain": [ " entity_id score label_value race sex age_cat\n", "0 1 0.0 0 Other Male Greater than 45\n", "1 3 0.0 1 African-American Male 25 - 45\n", "2 4 0.0 1 African-American Male Less than 25\n", "3 5 1.0 0 African-American Male Less than 25\n", "4 6 0.0 0 Other Male 25 - 45" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\"../../../examples/data/compas_for_aequitas.csv\")\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7214, 6)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-Aequitas: Exploring the COMPAS Dataset\n", "\n", "__Risk assessment by race__\n", "\n", "COMPAS produces a risk score that predicts a person's likelihood of commiting a crime in the next two years. The output is a score between 1 and 10 that maps to low, medium or high. For Aequitas, we collapse this to a binary prediction. A score of 0 indicates a prediction of \"low\" risk according to COMPAS, while a 1 indicates \"high\" or \"medium\" risk.\n", "\n", "This categorization is based on ProPublica's interpretation of Northpointe's practioner guide:\n", "\n", " \"According to Northpointe’s practitioners guide, COMPAS “scores in the medium and high range \n", " garner more interest from supervision agencies than low scores, as a low score would suggest \n", " there is little risk of general recidivism,” so we considered scores any higher than “low” to \n", " indicate a risk of recidivism.\"\n", "\n", "In the bar charts below, we see a large difference in how these scores are distributed by race, with a majority of white and Hispanic people predicted as low risk (score = 0) and a majority of black people predicted high and medium risk (score = 1). We also see that while the majority of people in age categories over 25 are predicted as low risk (score = 0), the majority of people below 25 are predicted as high and medium risk (score = 1)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "aq_palette = sns.diverging_palette(225, 35, n=2)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "by_race = sns.countplot(x=\"race\", hue=\"score\", data=df[df.race.isin(['African-American', 'Caucasian', 'Hispanic'])], palette=aq_palette)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "by_sex = sns.countplot(x=\"sex\", hue=\"score\", data=df, palette=aq_palette)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "by_age = sns.countplot(x=\"age_cat\", hue=\"score\", data=df, palette=aq_palette)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Levels of recidivism__\n", "\n", "This dataset includes information about whether or not the subject recidivated, and so we can directly test the accuracy of the predictions. First, we visualize the recidivsm rates across race. \n", "\n", "Following ProPublica, we defined recidivism as a new arrest within two years. (If a person recidivates, `label_value` = 1). They \"based this decision on Northpointe’s practitioners guide, which says that its recidivism score is meant to predict 'a new misdemeanor or felony offense within two years of the COMPAS administration date.'\"\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "label_by_race = sns.countplot(x=\"race\", hue=\"label_value\", data=df[df.race.isin(['African-American', 'Caucasian', 'Hispanic'])], palette=aq_palette)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "label_by_age = sns.countplot(x=\"sex\", hue=\"label_value\", data=df, palette=aq_palette)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "label_by_sex = sns.countplot(x=\"age_cat\", hue=\"label_value\", data=df, palette=aq_palette)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Putting Aequitas to the task\n", "\n", "The graphs above show the base rates for recidivism are higher for black defendants compared to white defendants (.51 vs .39), though the predictions do not match the base rates. \n", "\n", "Practitioners face the challenge of determining whether or not such patterns reflect bias or not. The fact that there are multiple ways to measure bias adds complexity to the decision-making process. With Aequitas, we provide a tool that automates the reporting of various fairness metrics to aid in this process.\n", "\n", "Applying Aequitas progammatically is a three step process represented by three python classes: \n", "\n", "`Group()`: Define groups \n", "\n", "`Bias()`: Calculate disparities\n", "\n", "`Fairness()`: Assert fairness\n", "\n", "Each class builds on the previous one expanding the output DataFrame.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Formatting\n", "\n", "Data for this example was preprocessed for compatibility with Aequitas. **The Aequitas tool always requires a `score` column and requires a binary `label_value` column for supervised metrics**, (i.e., False Discovery Rate, False Positive Rate, False Omission Rate, and False Negative Rate).\n", "\n", "Preprocessing includes but is not limited to checking for mandatory `score` and `label_value` columns as well as at least one column representing attributes specific to the data set. See [documentation](../input_data.html) for more information about input data.\n", "\n", "Note that while `entity_id` is not necessary for this example, Aequitas recognizes `entity_id` as a reserve column name and will not recognize it as an attribute column." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## What biases exist in my model?\n", "\n", "### _Aequitas Group() Class_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "### What is the distribution of groups, predicted scores, and labels across my dataset?\n", "\n", "Aequitas's `Group()` class enables researchers to evaluate biases across all subgroups in their dataset by assembling a confusion matrix of each subgroup, calculating commonly used metrics such as false positive rate and false omission rate, as well as counts by group and group prevelance among the sample population. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "The **`get_crosstabs()`** method tabulates a confusion matrix for each subgroup and calculates commonly used metrics such as false positive rate and false omission rate. It also provides counts by group and group prevelances.\n", "\n", "#### Group Counts Calculated:\n", "\n", "| Count Type | Column Name |\n", "| --- | --- |\n", "| False Positive Count | 'fp' |\n", "| False Negative Count | 'fn' |\n", "| True Negative Count | 'tn' |\n", "| True Positive Count | 'tp' |\n", "| Predicted Positive Count | 'pp' |\n", "| Predicted Negative Count | 'pn' |\n", "| Count of Negative Labels in Group | 'group_label_neg' |\n", "| Count of Positive Labels in Group | 'group_label_pos' | \n", "| Group Size | 'group_size'|\n", "| Total Entities | 'total_entities' |\n", "\n", "#### Absolute Metrics Calculated:\n", "\n", "| Metric | Column Name |\n", "| --- | --- |\n", "| True Positive Rate | 'tpr' |\n", "| True Negative Rate | 'tnr' |\n", "| False Omission Rate | 'for' |\n", "| False Discovery Rate | 'fdr' |\n", "| False Positive Rate | 'fpr' |\n", "| False Negative Rate | 'fnr' |\n", "| Negative Predictive Value | 'npv' |\n", "| Precision | 'precision' |\n", "| Predicted Positive Ratio$_k$ | 'ppr' |\n", "| Predicted Positive Ratio$_g$ | 'pprev' |\n", "| Group Prevalence | 'prev' |\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: The **`get_crosstabs()`** method expects a dataframe with predefined columns `score`, and `label_value` and treats other columns (with a few exceptions) as attributes against which to test for disparities. In this case, we include `race`, `sex` and `age_cat`. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model_id, score_thresholds 1 {'rank_abs': [3317]}\n", "COUNTS::: race\n", "African-American 3696\n", "Asian 32\n", "Caucasian 2454\n", "Hispanic 637\n", "Native American 18\n", "Other 377\n", "dtype: int64\n", "COUNTS::: sex\n", "Female 1395\n", "Male 5819\n", "dtype: int64\n", "COUNTS::: age_cat\n", "25 - 45 4109\n", "Greater than 45 1576\n", "Less than 25 1529\n", "dtype: int64\n" ] } ], "source": [ "g = Group()\n", "xtab, _ = g.get_crosstabs(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "### What are bias metrics across groups?\n", "\n", "Once you have run the `Group()` class **`get_crosstabs()`** method, you'll have a dataframe of the [group counts](#counts_description) and [group value bias metrics](#counts_description).\n", "\n", "The `Group()` class has a **`list_absolute_metrics()`** method, which you can use for faster slicing to view just counts or bias metrics." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "absolute_metrics = g.list_absolute_metrics(xtab)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### View calculated counts across sample population groups" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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attribute_nameattribute_valuekmodel_idscore_thresholdpppnfpfntntpgroup_label_neggroup_label_posgroup_sizetotal_entities
0raceAfrican-American33171binary 0/12174152280553299013691795190136967214
1raceAsian33171binary 0/182423216239327214
2raceCaucasian33171binary 0/185416003494611139505148896624547214
3raceHispanic33171binary 0/1190447871293181034052326377214
4raceNative American33171binary 0/11263159810187214
5raceOther33171binary 0/1792983690208432441333777214
6sexFemale33171binary 0/159180428819560930389749813957214
7sexMale33171binary 0/1272630939941021207217323066275358197214
8age_cat25 - 4533171binary 0/119242185741706147911832220188941097214
9age_catGreater than 4533171binary 0/13941182181285897213107849815767214
10age_catLess than 2533171binary 0/199953036022530563966586415297214
\n", "
" ], "text/plain": [ " attribute_name attribute_value k model_id score_threshold pp \\\n", "0 race African-American 3317 1 binary 0/1 2174 \n", "1 race Asian 3317 1 binary 0/1 8 \n", "2 race Caucasian 3317 1 binary 0/1 854 \n", "3 race Hispanic 3317 1 binary 0/1 190 \n", "4 race Native American 3317 1 binary 0/1 12 \n", "5 race Other 3317 1 binary 0/1 79 \n", "6 sex Female 3317 1 binary 0/1 591 \n", "7 sex Male 3317 1 binary 0/1 2726 \n", "8 age_cat 25 - 45 3317 1 binary 0/1 1924 \n", "9 age_cat Greater than 45 3317 1 binary 0/1 394 \n", "10 age_cat Less than 25 3317 1 binary 0/1 999 \n", "\n", " pn fp fn tn tp group_label_neg group_label_pos group_size \\\n", "0 1522 805 532 990 1369 1795 1901 3696 \n", "1 24 2 3 21 6 23 9 32 \n", "2 1600 349 461 1139 505 1488 966 2454 \n", "3 447 87 129 318 103 405 232 637 \n", "4 6 3 1 5 9 8 10 18 \n", "5 298 36 90 208 43 244 133 377 \n", "6 804 288 195 609 303 897 498 1395 \n", "7 3093 994 1021 2072 1732 3066 2753 5819 \n", "8 2185 741 706 1479 1183 2220 1889 4109 \n", "9 1182 181 285 897 213 1078 498 1576 \n", "10 530 360 225 305 639 665 864 1529 \n", "\n", " total_entities \n", "0 7214 \n", "1 7214 \n", "2 7214 \n", "3 7214 \n", "4 7214 \n", "5 7214 \n", "6 7214 \n", "7 7214 \n", "8 7214 \n", "9 7214 \n", "10 7214 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xtab[[col for col in xtab.columns if col not in absolute_metrics]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### View calculated absolute metrics for each sample population group" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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attribute_nameattribute_valuetprtnrforfdrfprfnrnpvprecisionpprpprevprev
0raceAfrican-American0.720.550.350.370.450.280.650.630.660.590.51
1raceAsian0.670.910.120.250.090.330.880.750.000.250.28
2raceCaucasian0.520.770.290.410.230.480.710.590.260.350.39
3raceHispanic0.440.790.290.460.210.560.710.540.060.300.36
4raceNative American0.900.620.170.250.380.100.830.750.000.670.56
5raceOther0.320.850.300.460.150.680.700.540.020.210.35
6sexFemale0.610.680.240.490.320.390.760.510.180.420.36
7sexMale0.630.680.330.360.320.370.670.640.820.470.47
8age_cat25 - 450.630.670.320.390.330.370.680.610.580.470.46
9age_catGreater than 450.430.830.240.460.170.570.760.540.120.250.32
10age_catLess than 250.740.460.420.360.540.260.580.640.300.650.57
\n", "
" ], "text/plain": [ " attribute_name attribute_value tpr tnr for fdr fpr fnr npv \\\n", "0 race African-American 0.72 0.55 0.35 0.37 0.45 0.28 0.65 \n", "1 race Asian 0.67 0.91 0.12 0.25 0.09 0.33 0.88 \n", "2 race Caucasian 0.52 0.77 0.29 0.41 0.23 0.48 0.71 \n", "3 race Hispanic 0.44 0.79 0.29 0.46 0.21 0.56 0.71 \n", "4 race Native American 0.90 0.62 0.17 0.25 0.38 0.10 0.83 \n", "5 race Other 0.32 0.85 0.30 0.46 0.15 0.68 0.70 \n", "6 sex Female 0.61 0.68 0.24 0.49 0.32 0.39 0.76 \n", "7 sex Male 0.63 0.68 0.33 0.36 0.32 0.37 0.67 \n", "8 age_cat 25 - 45 0.63 0.67 0.32 0.39 0.33 0.37 0.68 \n", "9 age_cat Greater than 45 0.43 0.83 0.24 0.46 0.17 0.57 0.76 \n", "10 age_cat Less than 25 0.74 0.46 0.42 0.36 0.54 0.26 0.58 \n", "\n", " precision ppr pprev prev \n", "0 0.63 0.66 0.59 0.51 \n", "1 0.75 0.00 0.25 0.28 \n", "2 0.59 0.26 0.35 0.39 \n", "3 0.54 0.06 0.30 0.36 \n", "4 0.75 0.00 0.67 0.56 \n", "5 0.54 0.02 0.21 0.35 \n", "6 0.51 0.18 0.42 0.36 \n", "7 0.64 0.82 0.47 0.47 \n", "8 0.61 0.58 0.47 0.46 \n", "9 0.54 0.12 0.25 0.32 \n", "10 0.64 0.30 0.65 0.57 " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xtab[['attribute_name', 'attribute_value'] + absolute_metrics].round(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "### How do I interpret biases in my model? \n", "In the slice of the crosstab dataframe created by the `Group()` class **`get_crosstabs()`** method directly above, we see that African-Americans have a false positive rate (`fpr`) of 45%, while Caucasians have a false positive rate of only 23%. This means that African-American people are far more likely to be falsely labeled as high-risk than white people. On the other hand, false ommision rates (`for`) and false discovery rates (`fdr`) are much closer for those two groups." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## How do I visualize bias in my model?\n", "\n", "Absolute group bias metrics metrics from the crosstab dataframe created by the `Group()` class **`get_crosstabs()`** can be visualized with two methods in the Aequitas `Plot()` class. \n", "\n", "One metric can be specified with **`plot_group_metric()`**, or a list of particular metrics of interest (or `'all'` metrics) can be plotted with **`plot_group_metric_all()`**." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "aqp = Plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing a single absolute group metric across all population groups\n", "The chart below displays group metric False Negative Rate (fnr) calculated across each attribute, colored based on number of samples in the attribute group. \n", "\n", "We can see from the longer bars that across 'age_cat', 'sex', and 'race' attributes, the groups COMPAS incorrectly predicts as 'low' or 'medium' risk most often are 25-45, Male, and African American. From the darker coloring, we can also tell that these are the three largest populations in the data set." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fnr = aqp.plot_group_metric(xtab, 'fnr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### View group metrics for only groups over a certain size threshold\n", "Extremely small group sizes increase standard error of estimates, and could be factors in prediction error such as false negatives. Use the `min_group` parameter to vizualize only those sample population groups above a user-specified percentage of the total sample size. When we remove groups below 5% of the sample size, we are left with only two of the six 'race' groups, as there are much smaller groups in that attribute category than in 'sex' or 'age_cat' (age cateogry). " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fnr = aqp.plot_group_metric(xtab, 'fnr', min_group_size=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing multiple user-specified absolute group metrics across all population groups\n", "\n", "The charts below display the all calculated group metrics across each attribute, colored based on absolute metric magnitude.\n", "\n", "We can see that the largest 'race' group, African Americans, are predicted positive more often than any other race group (predicted positive rate `PPR` of 0.66), and are more likely to be incorrectly classified as 'high' risk (false positive rate `FPR` of 0.45) than incorrectly classified as 'low' or 'medium' risk (false negative rate `FNR` of 0.28). Note that Native Americans are predicted positive at a higher _prevalence_ `PPREV`in relation to their group size than all other 'race groups' (predicted prevalence of 0.67). " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = aqp.plot_group_metric_all(xtab, metrics=['ppr','pprev','fnr','fpr'], ncols=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing default absolute group metrics across all population groups\n", "#### Default absolute group metrics\n", "When visualizing more than one absolute group metric, you can specify a list of metrics, specify `'all'` metrics, or use the Aequitas default metrics by not supplying an argument:\n", "- Predicted Positive Group Rate Disparity (pprev), \n", "- Predicted Positive Rate Disparity (ppr), \n", "- False Discovery Rate (fdr), \n", "- False Omission Rate (for)\n", "- False Positive Rate (fpr)\n", "- False Negative Rate (fnr)\n", "\n", "The charts below display the default group metrics calculated across each attribute, colored based on number of samples in the attribute group. \n", "\n", "Note that the 45+ age category is almost twice as likely to be incorrectly included in an intervention group (false discovery rate `FDR` of 0.46) than incorrectly excluded from intervention (false omission rate `FOR` 0.24). We can also see that the model is equally likely to predict a woman as 'high' risk as it is for a man (false positive rate `FPR` of 0.32 for both Male and Female)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "a = aqp.plot_group_metric_all(xtab, ncols=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## What levels of disparity exist between population groups?\n", "\n", "### _Aequitas Bias() Class_\n", "We use the Aequitas `Bias()` class to calculate disparities between groups based on the crosstab returned by the `Group()` class **`get_crosstabs()`** method described above. Disparities are calculated as a ratio of a metric for a group of interest compared to a base group. For example, the False Negative Rate Disparity for black defendants vis-a-vis whites is:\n", "$$Disparity_{FNR} = \\frac{FNR_{black}}{FNR_{white}}$$ \n", "\n", "Below, we use **`get_disparity_predefined_groups()`** which allows us to choose reference groups that clarify the output for the practitioner. \n", "\n", "The Aequitas `Bias()` class includes two additional get disparity functions: **`get_disparity_major_group()`** and **`get_disparity_min_metric()`**, which automate base group selection based on sample majority (across each attribute) and minimum value for each calculated bias metric, respectively. \n", "\n", "The **`get_disparity_predefined_groups()`** allows user to define a base group for each attribute, as illustrated below. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Disparities Calculated Calcuated:\n", "\n", "| Metric | Column Name |\n", "| --- | --- |\n", "| True Positive Rate Disparity | 'tpr_disprity' |\n", "| True Negative Rate | 'tnr_disparity' |\n", "| False Omission Rate | 'for_disparity' |\n", "| False Discovery Rate | 'fdr_disparity' |\n", "| False Positive Rate | 'fpr_disparity' |\n", "| False NegativeRate | 'fnr_disparity' |\n", "| Negative Predictive Value | 'npv_disparity' |\n", "| Precision Disparity | 'precision_disparity' |\n", "| Predicted Positive Ratio$_k$ Disparity | 'ppr_disparity' |\n", "| Predicted Positive Ratio$_g$ Disparity | 'pprev_disparity' |\n", "\n", "\n", "Columns for each disparity are appended to the crosstab dataframe, along with a column indicating the reference group for each calculated metric (denoted by `[METRIC NAME]_ref_group_value`). We see a slice of the dataframe with calculated metrics in the next section." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "b = Bias()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Disparities calculated in relation to a user-specified group for each attribute" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "get_disparity_predefined_group()\n" ] }, { "data": { "text/html": [ " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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attribute_nameattribute_valuekmodel_idscore_thresholdtprtnrforfdrfprfnrnpvprecisionpppnpprpprevfpfntntpgroup_label_neggroup_label_posgroup_sizetotal_entitiesprevlabel_value_significancescore_significancefdr_disparityfdr_ref_group_valuefdr_significancefnr_disparityfnr_ref_group_valuefnr_significancefor_disparityfor_ref_group_valuefor_significancefpr_disparityfpr_ref_group_valuefpr_significancenpv_disparitynpv_ref_group_valuenpv_significanceppr_disparityppr_ref_group_valueppr_significancepprev_disparitypprev_ref_group_valuepprev_significanceprecision_disparityprecision_ref_group_valueprecision_significancetnr_disparitytnr_ref_group_valuetnr_significancetpr_disparitytpr_ref_group_valuetpr_significance
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3raceHispanic33171binary 0/10.4439660.7851850.2885910.4578950.2148150.5560340.7114090.5421051904470.05728070.2982738712931810340523263772140.364207FalseTrue1.12046CaucasianFalse1.16514CaucasianFalse1.00162CaucasianFalse0.915887CaucasianFalse0.999346CaucasianFalse0.222482CaucasianTrue0.857099CaucasianTrue0.916748CaucasianFalse1.02577CaucasianFalse0.849249CaucasianFalse
4raceNative American33171binary 0/10.90.6250.1666670.250.3750.10.8333330.751260.003617730.66666731598101872140.555556FalseTrue0.611748CaucasianFalse0.209544CaucasianFalse0.578453CaucasianFalse1.59885CaucasianFalse1.17062CaucasianFalse0.0140515CaucasianTrue1.91569CaucasianTrue1.26832CaucasianFalse0.816506CaucasianFalse1.72158CaucasianFalse
5raceOther33171binary 0/10.3233080.8524590.3020130.4556960.1475410.6766920.6979870.544304792980.02381670.20954936902084324413337772140.352785FalseTrue1.11508CaucasianFalse1.41797CaucasianFalse1.0482CaucasianFalse0.629057CaucasianFalse0.98049CaucasianFalse0.0925059CaucasianTrue0.602147CaucasianTrue0.920466CaucasianFalse1.11366CaucasianFalse0.618447CaucasianFalse
6sexFemale33171binary 0/10.6084340.678930.2425370.487310.321070.3915660.7574630.512695918040.1781730.423656288195609303897498139572140.356989TrueTrue1.33642MaleTrue1.05581MaleTrue0.734738MaleTrue0.990343MaleTrue1.13071MaleTrue0.216801MaleTrue0.904348MaleTrue0.806925MaleTrue1.00463MaleTrue0.967101MaleTrue
7sexMale33171binary 0/10.6291320.6757990.33010.3646370.3242010.3708680.66990.635363272630930.8218270.46846599410212072173230662753581972140.473105FalseFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse1MaleFalse
8age_cat25 - 4533171binary 0/10.6262570.6662160.3231120.3851350.3337840.3737430.6768880.614865192421850.5800420.468247417061479118322201889410972140.459723FalseFalse125 - 45False125 - 45False125 - 45False125 - 45False125 - 45False125 - 45False125 - 45False125 - 45False125 - 45False125 - 45False
9age_catGreater than 4533171binary 0/10.4277110.8320960.2411170.4593910.1679040.5722890.7588830.54060939411820.1187820.251812858972131078498157672140.31599TrueTrue1.192825 - 45True1.5312425 - 45True0.74623225 - 45True0.50303125 - 45True1.1211425 - 45True0.20478225 - 45True0.53391425 - 45True0.87923225 - 45True1.2489925 - 45True0.68296325 - 45True
10age_catLess than 2533171binary 0/10.7395830.4586470.4245280.360360.5413530.2604170.5754720.639649995300.3011760.653368360225305639665864152972140.565075TrueTrue0.93567325 - 45False0.69678125 - 45True1.3138725 - 45True1.6218725 - 45False0.85017325 - 45True0.51923125 - 45True1.3953725 - 45True1.0402925 - 45False0.68843525 - 45False1.1809625 - 45True
" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bdf = b.get_disparity_predefined_groups(xtab, original_df=df, ref_groups_dict={'race':'Caucasian', 'sex':'Male', 'age_cat':'25 - 45'}, alpha=0.05, mask_significance=True)\n", "bdf.style" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Bias()` class includes a method to quickly return a list of calculated disparities from the dataframe returned by the **`get_disparity_`** methods." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "calculated_disparities = b.list_disparities(bdf)\n", "disparity_significance = b.list_significance(bdf)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['label_value_significance',\n", " 'score_significance',\n", " 'fdr_significance',\n", " 'fnr_significance',\n", " 'for_significance',\n", " 'fpr_significance',\n", " 'npv_significance',\n", " 'ppr_significance',\n", " 'pprev_significance',\n", " 'precision_significance',\n", " 'tnr_significance',\n", " 'tpr_significance']" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "disparity_significance" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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attribute_nameattribute_valuefdr_disparityfnr_disparityfor_disparityfpr_disparitynpv_disparityppr_disparitypprev_disparityprecision_disparity...fdr_significancefnr_significancefor_significancefpr_significancenpv_significanceppr_significancepprev_significanceprecision_significancetnr_significancetpr_significance
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1raceAsian0.6117480.6984820.4338390.3707491.2291480.0093680.7183841.268317...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
2raceCaucasian1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
3raceHispanic1.1204641.1651401.0016160.9158870.9993460.2224820.8570990.916748...FalseFalseFalseFalseFalseTrueTrueFalseFalseFalse
4raceNative American0.6117480.2095440.5784531.5988541.1706180.0140521.9156911.268317...FalseFalseFalseFalseFalseTrueTrueFalseFalseFalse
5raceOther1.1150851.4179701.0482030.6290570.9804900.0925060.6021470.920466...FalseFalseFalseFalseFalseTrueTrueFalseFalseFalse
6sexFemale1.3364251.0558100.7347380.9903431.1307100.2168010.9043480.806925...TrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
7sexMale1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
8age_cat25 - 451.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
9age_catGreater than 451.1928041.5312380.7462320.5030311.1211360.2047820.5339140.879232...TrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
10age_catLess than 250.9356730.6967811.3138731.6218680.8501730.5192311.3953691.040293...FalseTrueTrueFalseTrueTrueTrueFalseFalseTrue
\n", "

11 rows × 24 columns

\n", "
" ], "text/plain": [ " attribute_name attribute_value fdr_disparity fnr_disparity \\\n", "0 race African-American 0.906085 0.586416 \n", "1 race Asian 0.611748 0.698482 \n", "2 race Caucasian 1.000000 1.000000 \n", "3 race Hispanic 1.120464 1.165140 \n", "4 race Native American 0.611748 0.209544 \n", "5 race Other 1.115085 1.417970 \n", "6 sex Female 1.336425 1.055810 \n", "7 sex Male 1.000000 1.000000 \n", "8 age_cat 25 - 45 1.000000 1.000000 \n", "9 age_cat Greater than 45 1.192804 1.531238 \n", "10 age_cat Less than 25 0.935673 0.696781 \n", "\n", " for_disparity fpr_disparity npv_disparity ppr_disparity \\\n", "0 1.213154 1.912093 0.913728 2.545667 \n", "1 0.433839 0.370749 1.229148 0.009368 \n", "2 1.000000 1.000000 1.000000 1.000000 \n", "3 1.001616 0.915887 0.999346 0.222482 \n", "4 0.578453 1.598854 1.170618 0.014052 \n", "5 1.048203 0.629057 0.980490 0.092506 \n", "6 0.734738 0.990343 1.130710 0.216801 \n", "7 1.000000 1.000000 1.000000 1.000000 \n", "8 1.000000 1.000000 1.000000 1.000000 \n", "9 0.746232 0.503031 1.121136 0.204782 \n", "10 1.313873 1.621868 0.850173 0.519231 \n", "\n", " pprev_disparity precision_disparity ... fdr_significance \\\n", "0 1.690224 1.064904 ... False \n", "1 0.718384 1.268317 ... False \n", "2 1.000000 1.000000 ... False \n", "3 0.857099 0.916748 ... False \n", "4 1.915691 1.268317 ... False \n", "5 0.602147 0.920466 ... False \n", "6 0.904348 0.806925 ... True \n", "7 1.000000 1.000000 ... False \n", "8 1.000000 1.000000 ... False \n", "9 0.533914 0.879232 ... True \n", "10 1.395369 1.040293 ... False \n", "\n", " fnr_significance for_significance fpr_significance npv_significance \\\n", "0 True True False True \n", "1 False False False False \n", "2 False False False False \n", "3 False False False False \n", "4 False False False False \n", "5 False False False False \n", "6 True True True True \n", "7 False False False False \n", "8 False False False False \n", "9 True True True True \n", "10 True True False True \n", "\n", " ppr_significance pprev_significance precision_significance \\\n", "0 True True False \n", "1 False False False \n", "2 False False False \n", "3 True True False \n", "4 True True False \n", "5 True True False \n", "6 True True True \n", "7 False False False \n", "8 False False False \n", "9 True True True \n", "10 True True False \n", "\n", " tnr_significance tpr_significance \n", "0 False True \n", "1 False False \n", "2 False False \n", "3 False False \n", "4 False False \n", "5 False False \n", "6 True True \n", "7 False False \n", "8 False False \n", "9 True True \n", "10 False True \n", "\n", "[11 rows x 24 columns]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# View disparity metrics added to dataframe\n", "bdf[['attribute_name', 'attribute_value'] + calculated_disparities + disparity_significance]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "### How do I interpret calculated disparity ratios?\n", "The calculated disparities from the dataframe returned by the `Bias()` class **`get_disparity_`** methods are in relation to a reference group, which will always have a disparity of 1.0.\n", "\n", "The differences in False Positive Rates, noted in the discussion of the `Group()` class above, are clarified using the disparity ratio (`fpr_disparity`). Black people are falsely identified as being high or medium risks 1.9 times the rate for white people. \n", "\n", "As seen above, False Discovery Rates have much less disparity (`fdr_disparity`), or fraction of false postives over predicted positive in a group. As reference groups have disparity = 1 by design in Aequitas, the lower disparity is highlighted by the `fdr_disparity` value close to 1.0 (0.906) for the race attribute group 'African-American' when disparities are calculated using predefined base group 'Caucasian'. Note that COMPAS is calibrated to balance False Positive Rate and False Discovery Rates across groups." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "### How does the selected reference group affect disparity calculations?\n", "\n", "Disparities calculated in the the Aequitas `Bias()` class based on the crosstab returned by the `Group()` class **`get_crosstabs()`** method can be derived using several different base gorups. In addition to using user-specified groups illustrated above, Aequitas can automate base group selection based on dataset characterisitcs:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Evaluating disparities calculated in relation to a different 'race' reference group\n", "Changing even one attribute in the predefined groups will alter calculated disparities. When a differnet pre-defined group 'Hispanic' is used, we can see that Black people are 2.1 times more likely to be falsely identified as being high or medium risks as Hispanic people are (compared to 1.9 times more likely than white people), and even less likely to be falsely identified as low risk when compared to Hispanic people rather than white people." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "get_disparity_predefined_group()\n" ] } ], "source": [ "hbdf = b.get_disparity_predefined_groups(xtab, original_df=df, \n", " ref_groups_dict={'race':'Hispanic', 'sex':'Male', 'age_cat':'25 - 45'},\n", " alpha=0.05,\n", " mask_significance=False)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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attribute_nameattribute_valuefdr_disparityfnr_disparityfor_disparityfpr_disparitynpv_disparityppr_disparitypprev_disparityprecision_disparity...fdr_significancefnr_significancefor_significancefpr_significancenpv_significanceppr_significancepprev_significanceprecision_significancetnr_significancetpr_significance
0raceAfrican-American0.8086690.5033011.2111972.0876960.91432611.4421051.9720301.161610...2.101379e-021.380038e-021.380038e-022.101379e-021.380038e-021.698640e-431.698640e-432.101379e-022.101379e-021.380038e-02
1raceAsian0.5459770.5994830.4331400.4047981.2299530.0421050.8381581.383495...2.490853e-018.246864e-028.246864e-022.490853e-018.246864e-025.600792e-015.600792e-012.490853e-012.490853e-018.246864e-02
2raceCaucasian0.8924870.8582660.9983871.0918381.0006544.4947371.1667271.090812...2.137023e-019.846792e-019.846792e-012.137023e-019.846792e-011.560902e-021.560902e-022.137023e-012.137023e-019.846792e-01
3raceHispanic1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...1.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+00
4raceNative American0.5459770.1798450.5775191.7456901.1713840.0631582.2350881.383495...1.615220e-015.129970e-015.129970e-011.615220e-015.129970e-018.217490e-048.217490e-041.615220e-011.615220e-015.129970e-01
5raceOther0.9951991.2169961.0465120.6868290.9811320.4157890.7025411.004056...9.738238e-016.940727e-016.940727e-019.738238e-016.940727e-011.433433e-031.433433e-039.738238e-019.738238e-016.940727e-01
6sexFemale1.3364251.0558100.7347380.9903431.1307100.2168010.9043480.806925...6.977574e-084.948025e-074.948025e-076.977574e-084.948025e-072.433115e-032.433115e-036.977574e-086.977574e-084.948025e-07
7sexMale1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...1.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+00
8age_cat25 - 451.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...1.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+001.000000e+00
9age_catGreater than 451.1928041.5312380.7462320.5030311.1211360.2047820.5339140.879232...7.096257e-033.045872e-073.045872e-077.096257e-033.045872e-072.277827e-572.277827e-577.096257e-037.096257e-033.045872e-07
10age_catLess than 250.9356730.6967811.3138731.6218680.8501730.5192311.3953691.040293...1.899425e-012.120676e-052.120676e-051.899425e-012.120676e-051.422423e-361.422423e-361.899425e-011.899425e-012.120676e-05
\n", "

11 rows × 24 columns

\n", "
" ], "text/plain": [ " attribute_name attribute_value fdr_disparity fnr_disparity \\\n", "0 race African-American 0.808669 0.503301 \n", "1 race Asian 0.545977 0.599483 \n", "2 race Caucasian 0.892487 0.858266 \n", "3 race Hispanic 1.000000 1.000000 \n", "4 race Native American 0.545977 0.179845 \n", "5 race Other 0.995199 1.216996 \n", "6 sex Female 1.336425 1.055810 \n", "7 sex Male 1.000000 1.000000 \n", "8 age_cat 25 - 45 1.000000 1.000000 \n", "9 age_cat Greater than 45 1.192804 1.531238 \n", "10 age_cat Less than 25 0.935673 0.696781 \n", "\n", " for_disparity fpr_disparity npv_disparity ppr_disparity \\\n", "0 1.211197 2.087696 0.914326 11.442105 \n", "1 0.433140 0.404798 1.229953 0.042105 \n", "2 0.998387 1.091838 1.000654 4.494737 \n", "3 1.000000 1.000000 1.000000 1.000000 \n", "4 0.577519 1.745690 1.171384 0.063158 \n", "5 1.046512 0.686829 0.981132 0.415789 \n", "6 0.734738 0.990343 1.130710 0.216801 \n", "7 1.000000 1.000000 1.000000 1.000000 \n", "8 1.000000 1.000000 1.000000 1.000000 \n", "9 0.746232 0.503031 1.121136 0.204782 \n", "10 1.313873 1.621868 0.850173 0.519231 \n", "\n", " pprev_disparity precision_disparity ... fdr_significance \\\n", "0 1.972030 1.161610 ... 2.101379e-02 \n", "1 0.838158 1.383495 ... 2.490853e-01 \n", "2 1.166727 1.090812 ... 2.137023e-01 \n", "3 1.000000 1.000000 ... 1.000000e+00 \n", "4 2.235088 1.383495 ... 1.615220e-01 \n", "5 0.702541 1.004056 ... 9.738238e-01 \n", "6 0.904348 0.806925 ... 6.977574e-08 \n", "7 1.000000 1.000000 ... 1.000000e+00 \n", "8 1.000000 1.000000 ... 1.000000e+00 \n", "9 0.533914 0.879232 ... 7.096257e-03 \n", "10 1.395369 1.040293 ... 1.899425e-01 \n", "\n", " fnr_significance for_significance fpr_significance npv_significance \\\n", "0 1.380038e-02 1.380038e-02 2.101379e-02 1.380038e-02 \n", "1 8.246864e-02 8.246864e-02 2.490853e-01 8.246864e-02 \n", "2 9.846792e-01 9.846792e-01 2.137023e-01 9.846792e-01 \n", "3 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 \n", "4 5.129970e-01 5.129970e-01 1.615220e-01 5.129970e-01 \n", "5 6.940727e-01 6.940727e-01 9.738238e-01 6.940727e-01 \n", "6 4.948025e-07 4.948025e-07 6.977574e-08 4.948025e-07 \n", "7 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 \n", "8 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 \n", "9 3.045872e-07 3.045872e-07 7.096257e-03 3.045872e-07 \n", "10 2.120676e-05 2.120676e-05 1.899425e-01 2.120676e-05 \n", "\n", " ppr_significance pprev_significance precision_significance \\\n", "0 1.698640e-43 1.698640e-43 2.101379e-02 \n", "1 5.600792e-01 5.600792e-01 2.490853e-01 \n", "2 1.560902e-02 1.560902e-02 2.137023e-01 \n", "3 1.000000e+00 1.000000e+00 1.000000e+00 \n", "4 8.217490e-04 8.217490e-04 1.615220e-01 \n", "5 1.433433e-03 1.433433e-03 9.738238e-01 \n", "6 2.433115e-03 2.433115e-03 6.977574e-08 \n", "7 1.000000e+00 1.000000e+00 1.000000e+00 \n", "8 1.000000e+00 1.000000e+00 1.000000e+00 \n", "9 2.277827e-57 2.277827e-57 7.096257e-03 \n", "10 1.422423e-36 1.422423e-36 1.899425e-01 \n", "\n", " tnr_significance tpr_significance \n", "0 2.101379e-02 1.380038e-02 \n", "1 2.490853e-01 8.246864e-02 \n", "2 2.137023e-01 9.846792e-01 \n", "3 1.000000e+00 1.000000e+00 \n", "4 1.615220e-01 5.129970e-01 \n", "5 9.738238e-01 6.940727e-01 \n", "6 6.977574e-08 4.948025e-07 \n", "7 1.000000e+00 1.000000e+00 \n", "8 1.000000e+00 1.000000e+00 \n", "9 7.096257e-03 3.045872e-07 \n", "10 1.899425e-01 2.120676e-05 \n", "\n", "[11 rows x 24 columns]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# View disparity metrics added to dataframe\n", "hbdf[['attribute_name', 'attribute_value'] + calculated_disparities + disparity_significance]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Disparities calculated in relation to sample population majority group (in terms of group prevalence) for each attribute\n", "The majority population groups for each attribute ('race', 'sex', 'age_cat') in the COMPAS dataset are 'African American', 'Male', and '25 - 45'. Using the **`get_disparity_major_group()`** method of calculation allows researchers to quickly evaluate how much more (or less often) other groups are falsely or correctly identified as high- or medium-risk in relation to the group they have the most data on." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "get_disparity_major_group()\n" ] } ], "source": [ "majority_bdf = b.get_disparity_major_group(xtab, original_df=df, mask_significance=True)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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attribute_nameattribute_valuefdr_disparityfnr_disparityfor_disparityfpr_disparitynpv_disparityppr_disparitypprev_disparityprecision_disparity...fdr_significancefnr_significancefor_significancefpr_significancenpv_significanceppr_significancepprev_significanceprecision_significancetnr_significancetpr_significance
0raceAfrican-American1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
1raceAsian0.6751551.1911030.3576130.1938971.3452020.0036800.4250231.191015...FalseTrueTrueFalseTrueTrueTrueFalseFalseTrue
2raceCaucasian1.1036501.7052740.8242970.5229871.0944180.3928240.5916380.939052...FalseTrueTrueFalseTrueTrueTrueFalseFalseTrue
3raceHispanic1.2366001.9868830.8256300.4789971.0937020.0873970.5070920.860874...TrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
4raceNative American0.6751550.3573310.4768170.8361801.2811450.0055201.1333951.191015...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
5raceOther1.2306632.4180280.8640310.3289891.0730660.0363390.3562530.864366...FalseFalseFalseFalseFalseTrueTrueFalseFalseFalse
6sexFemale1.3364251.0558100.7347380.9903431.1307100.2168010.9043480.806925...TrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
7sexMale1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
8age_cat25 - 451.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
9age_catGreater than 451.1928041.5312380.7462320.5030311.1211360.2047820.5339140.879232...TrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
10age_catLess than 250.9356730.6967811.3138731.6218680.8501730.5192311.3953691.040293...FalseTrueTrueFalseTrueTrueTrueFalseFalseTrue
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11 rows × 24 columns

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" ], "text/plain": [ " attribute_name attribute_value fdr_disparity fnr_disparity \\\n", "0 race African-American 1.000000 1.000000 \n", "1 race Asian 0.675155 1.191103 \n", "2 race Caucasian 1.103650 1.705274 \n", "3 race Hispanic 1.236600 1.986883 \n", "4 race Native American 0.675155 0.357331 \n", "5 race Other 1.230663 2.418028 \n", "6 sex Female 1.336425 1.055810 \n", "7 sex Male 1.000000 1.000000 \n", "8 age_cat 25 - 45 1.000000 1.000000 \n", "9 age_cat Greater than 45 1.192804 1.531238 \n", "10 age_cat Less than 25 0.935673 0.696781 \n", "\n", " for_disparity fpr_disparity npv_disparity ppr_disparity \\\n", "0 1.000000 1.000000 1.000000 1.000000 \n", "1 0.357613 0.193897 1.345202 0.003680 \n", "2 0.824297 0.522987 1.094418 0.392824 \n", "3 0.825630 0.478997 1.093702 0.087397 \n", "4 0.476817 0.836180 1.281145 0.005520 \n", "5 0.864031 0.328989 1.073066 0.036339 \n", "6 0.734738 0.990343 1.130710 0.216801 \n", "7 1.000000 1.000000 1.000000 1.000000 \n", "8 1.000000 1.000000 1.000000 1.000000 \n", "9 0.746232 0.503031 1.121136 0.204782 \n", "10 1.313873 1.621868 0.850173 0.519231 \n", "\n", " pprev_disparity precision_disparity ... fdr_significance \\\n", "0 1.000000 1.000000 ... False \n", "1 0.425023 1.191015 ... False \n", "2 0.591638 0.939052 ... False \n", "3 0.507092 0.860874 ... True \n", "4 1.133395 1.191015 ... False \n", "5 0.356253 0.864366 ... False \n", "6 0.904348 0.806925 ... True \n", "7 1.000000 1.000000 ... False \n", "8 1.000000 1.000000 ... False \n", "9 0.533914 0.879232 ... True \n", "10 1.395369 1.040293 ... False \n", "\n", " fnr_significance for_significance fpr_significance npv_significance \\\n", "0 False False False False \n", "1 True True False True \n", "2 True True False True \n", "3 True True True True \n", "4 False False False False \n", "5 False False False False \n", "6 True True True True \n", "7 False False False False \n", "8 False False False False \n", "9 True True True True \n", "10 True True False True \n", "\n", " ppr_significance pprev_significance precision_significance \\\n", "0 False False False \n", "1 True True False \n", "2 True True False \n", "3 True True True \n", "4 False False False \n", "5 True True False \n", "6 True True True \n", "7 False False False \n", "8 False False False \n", "9 True True True \n", "10 True True False \n", "\n", " tnr_significance tpr_significance \n", "0 False False \n", "1 False True \n", "2 False True \n", "3 True True \n", "4 False False \n", "5 False False \n", "6 True True \n", "7 False False \n", "8 False False \n", "9 True True \n", "10 False True \n", "\n", "[11 rows x 24 columns]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "majority_bdf[['attribute_name', 'attribute_value'] + calculated_disparities + disparity_significance]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Disparities calculated in relation to the minimum value for each metric\n", "\n", "When you do not have a pre-existing don’t frame of reference or policy context for the dataset (ex: Caucasians or males historically favored), you may choose to view disparities in relation to the group with the lowest value for every disparity metric, as then every group's value will be at least 1.0, and relationships can be evaluated more linearly.\n", "\n", "\n", "Note that disparities are much more varied, and may have larger magnitude, when the minimum value per metric is used as a reference group versus one of the other two methods." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "get_disparity_min_metric()\n" ] } ], "source": [ "min_metric_bdf = b.get_disparity_min_metric(df=xtab, original_df=df)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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attribute_nameattribute_valuekmodel_idscore_thresholdtprtnrforfdrfprfnrnpvprecisionpppnpprpprevfpfntntpgroup_label_neggroup_label_posgroup_sizetotal_entitiesprevlabel_value_significancescore_significancefdr_disparityfdr_ref_group_valuefdr_significancefnr_disparityfnr_ref_group_valuefnr_significancefor_disparityfor_ref_group_valuefor_significancefpr_disparityfpr_ref_group_valuefpr_significancenpv_disparitynpv_ref_group_valuenpv_significanceppr_disparityppr_ref_group_valueppr_significancepprev_disparitypprev_ref_group_valuepprev_significanceprecision_disparityprecision_ref_group_valueprecision_significancetnr_disparitytnr_ref_group_valuetnr_significancetpr_disparitytpr_ref_group_valuetpr_significance
0raceAfrican-American33171binary 0/10.7201470.5515320.349540.3702850.4484680.2798530.650460.629715217415220.6554120.588203805532990136917951901369672140.51434TrueTrue1.48114AsianFalse2.79853Native AmericanFalse2.79632AsianTrue5.15738AsianFalse1African-AmericanFalse271.75AsianTrue2.807OtherTrue1.16161HispanicTrue1African-AmericanFalse2.22743OtherFalse
1raceAsian33171binary 0/10.6666670.9130430.1250.250.08695650.3333330.8750.758240.002411820.25232162393272140.28125FalseFalse1AsianFalse3.33333Native AmericanFalse1AsianFalse1AsianFalse1.3452African-AmericanTrue1AsianFalse1.19304OtherFalse1.3835HispanicFalse1.65547African-AmericanFalse2.06202OtherFalse
2raceCaucasian33171binary 0/10.5227740.7654570.2881250.4086650.2345430.4772260.7118750.59133585416000.2574620.34800334946111395051488966245472140.393643FalseFalse1.63466AsianFalse4.77226Native AmericanFalse2.305AsianFalse2.69724AsianFalse1.09442African-AmericanTrue106.75AsianFalse1.66072OtherTrue1.09081HispanicFalse1.38787African-AmericanFalse1.61695OtherFalse
3raceHispanic33171binary 0/10.4439660.7851850.2885910.4578950.2148150.5560340.7114090.5421051904470.05728070.2982738712931810340523263772140.364207FalseFalse1.83158AsianFalse5.56034Native AmericanFalse2.30872AsianFalse2.47037AsianFalse1.0937African-AmericanTrue23.75AsianFalse1.4234OtherTrue1HispanicFalse1.42364African-AmericanTrue1.3732OtherFalse
4raceNative American33171binary 0/10.90.6250.1666670.250.3750.10.8333330.751260.003617730.66666731598101872140.555556FalseTrue1AsianFalse1Native AmericanFalse1.33333AsianFalse4.3125AsianFalse1.28114African-AmericanFalse1.5AsianTrue3.18143OtherTrue1.3835HispanicFalse1.13321African-AmericanFalse2.78372OtherFalse
5raceOther33171binary 0/10.3233080.8524590.3020130.4556960.1475410.6766920.6979870.544304792980.02381670.20954936902084324413337772140.352785FalseFalse1.82278AsianFalse6.76692Native AmericanFalse2.41611AsianFalse1.69672AsianFalse1.07307African-AmericanFalse9.875AsianFalse1OtherFalse1.00406HispanicFalse1.54562African-AmericanFalse1OtherFalse
6sexFemale33171binary 0/10.6084340.678930.2425370.487310.321070.3915660.7574630.512695918040.1781730.423656288195609303897498139572140.356989FalseFalse1.33642MaleTrue1.05581MaleTrue1FemaleFalse1FemaleFalse1.13071MaleTrue1FemaleFalse1FemaleFalse1FemaleFalse1.00463MaleTrue1FemaleFalse
7sexMale33171binary 0/10.6291320.6757990.33010.3646370.3242010.3708680.66990.635363272630930.8218270.46846599410212072173230662753581972140.473105TrueTrue1MaleFalse1MaleFalse1.36103FemaleTrue1.00975FemaleTrue1MaleFalse4.61252FemaleTrue1.10577FemaleTrue1.23927FemaleTrue1MaleFalse1.03402FemaleTrue
8age_cat25 - 4533171binary 0/10.6262570.6662160.3231120.3851350.3337840.3737430.6768880.614865192421850.5800420.468247417061479118322201889410972140.459723TrueTrue1.06875Less than 25False1.43517Less than 25True1.34007Greater than 45True1.98795Greater than 45True1.17623Less than 25True4.88325Greater than 45True1.87296Greater than 45True1.13736Greater than 45True1.45257Less than 25False1.46421Greater than 45True
9age_catGreater than 4533171binary 0/10.4277110.8320960.2411170.4593910.1679040.5722890.7588830.54060939411820.1187820.251812858972131078498157672140.31599FalseFalse1.27481Less than 25True2.19759Less than 25True1Greater than 45False1Greater than 45False1.31872Less than 25True1Greater than 45False1Greater than 45False1Greater than 45False1.81424Less than 25True1Greater than 45False
10age_catLess than 2533171binary 0/10.7395830.4586470.4245280.360360.5413530.2604170.5754720.639649995300.3011760.653368360225305639665864152972140.565075TrueTrue1Less than 25False1Less than 25False1.76068Greater than 45True3.22419Greater than 45True1Less than 25False2.53553Greater than 45True2.61347Greater than 45True1.18318Greater than 45True1Less than 25False1.72917Greater than 45True
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attribute_nameattribute_valuefdr_disparityfnr_disparityfor_disparityfpr_disparitynpv_disparityppr_disparitypprev_disparityprecision_disparity...fdr_significancefnr_significancefor_significancefpr_significancenpv_significanceppr_significancepprev_significanceprecision_significancetnr_significancetpr_significance
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1raceAsian1.0000003.3333331.0000001.0000001.3452021.0000001.1930381.383495...FalseFalseFalseFalseTrueFalseFalseFalseFalseFalse
2raceCaucasian1.6346604.7722572.3050002.6972451.094418106.7500001.6607241.090812...FalseFalseFalseFalseTrueFalseTrueFalseFalseFalse
3raceHispanic1.8315795.5603452.3087252.4703701.09370223.7500001.4234051.000000...FalseFalseFalseFalseTrueFalseTrueFalseTrueFalse
4raceNative American1.0000001.0000001.3333334.3125001.2811451.5000003.1814351.383495...FalseFalseFalseFalseFalseTrueTrueFalseFalseFalse
5raceOther1.8227856.7669172.4161071.6967211.0730669.8750001.0000001.004056...FalseFalseFalseFalseFalseFalseFalseFalseFalseFalse
6sexFemale1.3364251.0558101.0000001.0000001.1307101.0000001.0000001.000000...TrueTrueFalseFalseTrueFalseFalseFalseTrueFalse
7sexMale1.0000001.0000001.3610291.0097511.0000004.6125211.1057691.239273...FalseFalseTrueTrueFalseTrueTrueTrueFalseTrue
8age_cat25 - 451.0687501.4351721.3400651.9879501.1762314.8832491.8729621.137356...FalseTrueTrueTrueTrueTrueTrueTrueFalseTrue
9age_catGreater than 451.2748102.1975901.0000001.0000001.3187151.0000001.0000001.000000...TrueTrueFalseFalseTrueFalseFalseFalseTrueFalse
10age_catLess than 251.0000001.0000001.7606753.2241931.0000002.5355332.6134731.183183...FalseFalseTrueTrueFalseTrueTrueTrueFalseTrue
\n", "

11 rows × 24 columns

\n", "
" ], "text/plain": [ " attribute_name attribute_value fdr_disparity fnr_disparity \\\n", "0 race African-American 1.481141 2.798527 \n", "1 race Asian 1.000000 3.333333 \n", "2 race Caucasian 1.634660 4.772257 \n", "3 race Hispanic 1.831579 5.560345 \n", "4 race Native American 1.000000 1.000000 \n", "5 race Other 1.822785 6.766917 \n", "6 sex Female 1.336425 1.055810 \n", "7 sex Male 1.000000 1.000000 \n", "8 age_cat 25 - 45 1.068750 1.435172 \n", "9 age_cat Greater than 45 1.274810 2.197590 \n", "10 age_cat Less than 25 1.000000 1.000000 \n", "\n", " for_disparity fpr_disparity npv_disparity ppr_disparity \\\n", "0 2.796321 5.157382 1.000000 271.750000 \n", "1 1.000000 1.000000 1.345202 1.000000 \n", "2 2.305000 2.697245 1.094418 106.750000 \n", "3 2.308725 2.470370 1.093702 23.750000 \n", "4 1.333333 4.312500 1.281145 1.500000 \n", "5 2.416107 1.696721 1.073066 9.875000 \n", "6 1.000000 1.000000 1.130710 1.000000 \n", "7 1.361029 1.009751 1.000000 4.612521 \n", "8 1.340065 1.987950 1.176231 4.883249 \n", "9 1.000000 1.000000 1.318715 1.000000 \n", "10 1.760675 3.224193 1.000000 2.535533 \n", "\n", " pprev_disparity precision_disparity ... fdr_significance \\\n", "0 2.806996 1.161610 ... False \n", "1 1.193038 1.383495 ... False \n", "2 1.660724 1.090812 ... False \n", "3 1.423405 1.000000 ... False \n", "4 3.181435 1.383495 ... False \n", "5 1.000000 1.004056 ... False \n", "6 1.000000 1.000000 ... True \n", "7 1.105769 1.239273 ... False \n", "8 1.872962 1.137356 ... False \n", "9 1.000000 1.000000 ... True \n", "10 2.613473 1.183183 ... False \n", "\n", " fnr_significance for_significance fpr_significance npv_significance \\\n", "0 False True False False \n", "1 False False False True \n", "2 False False False True \n", "3 False False False True \n", "4 False False False False \n", "5 False False False False \n", "6 True False False True \n", "7 False True True False \n", "8 True True True True \n", "9 True False False True \n", "10 False True True False \n", "\n", " ppr_significance pprev_significance precision_significance \\\n", "0 True True True \n", "1 False False False \n", "2 False True False \n", "3 False True False \n", "4 True True False \n", "5 False False False \n", "6 False False False \n", "7 True True True \n", "8 True True True \n", "9 False False False \n", "10 True True True \n", "\n", " tnr_significance tpr_significance \n", "0 False False \n", "1 False False \n", "2 False False \n", "3 True False \n", "4 False False \n", "5 False False \n", "6 True False \n", "7 False True \n", "8 False True \n", "9 True False \n", "10 False True \n", "\n", "[11 rows x 24 columns]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# View disparity metrics added to dataframe\n", "min_metric_bdf[['attribute_name', 'attribute_value'] + calculated_disparities + disparity_significance]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## How do I visualize disparities in my model?\n", "To visualize disparities in the dataframe returned by one of the `Bias()` class **`get_disparity_`** methods use one of two methods in the Aequitas `Plot()` class:\n", "\n", "A particular disparity metric can be specified with **`plot_disparity()`**. To plot a single disparity, a metric and an attribute must be specified.\n", "\n", "Disparities related to a list of particular metrics of interest or `'all'` metrics can be plotted with **`plot_disparity_all()`**. At least one metric or at least one attribute must be specified when plotting multiple disparities (or the same disparity across multiple attributes). For example, to plot PPR and and Precision disparity for all attributes, specify `metrics=['ppr', 'precision']` with no attribute specified, and to plot default metrics by race, specify `attributes=['race']` and with no metrics specified.\n", "\n", "**Reference groups are displayed in grey, and always have a disparity = 1.** Note that disparities greater than 10x reference group will are visualized as 10x, and disparities less than 0.1x reference group are visualized as 0.1x.\n", "\n", "Statistical siginificance (at a default value of 0.05) is denoted by two asterisks (**) next to a treemap square's value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing disparities between groups in a single user-specified attribute for a single user-specified disparity metric\n", "\n", "The treemap below displays precision disparity values calculated using a predefined group, in this case the 'Caucasian' group within the race attribute, sized based on the group size and colored based on disparity magnitude. We can see from asterisks that the disparities between the 'Caucasian' reference population group and both the 'African-American' and 'Other' race population groups are statistically significant at the 5% level.\n", "\n", "**Note**: Groups are visualized at no less than 0.1 times the size of the reference group, and no more than 10 times the size of the reference group." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "aqp.plot_disparity(bdf, group_metric='fpr_disparity', attribute_name='race', significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When another group, 'Hispanic', is the reference group, the colors change to indicate higher or lower disparity in relation to that group. Treemap square sizes may also be adjusted, as group size limits for visualization are in relation to the reference group (minimum 0.1 times reference group size and maximum 10 times the reference group size)." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "aqp.plot_disparity(hbdf, group_metric='fpr_disparity', attribute_name='race', significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing disparities between all groups for a single user-specified disparity metric\n", "\n", "The treemaps belows display False Positive Rate disparities calculated based on predefined reference groups ('race' attribute: Hispanic, 'sex' attribute: Male, 'age_cat' attribute: 25-45), sized based on group size, and colored based on disparity magnitude. \n", "\n", "It is clear that the majority of samples in the data are African-American, male, and 25-45 for the 'race', 'sex', and age category attributes, respectively. Based on the lighter colors in the treemaps, we see that there is precision disparity relatively close to 1 (a disparity of 1 indicates no disparity) across all attributes." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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1DDxxr00zuw9uMr68eWNDBgN4KGjELVcbgJPMzO9JCeQ2TL1pZuG0IX6Pxy1IDkV5XgWwSaH8uTVyOqJzqs4FcHiFeuqO9v5+xMsRXNEUHxX2NYAdzeyGzjxo0FtyY7gGyZYim/cE8FtE3Ggys6kAfgTg5hjl9AJwFqJ7TMc12vv7QTMLj0jx3+u9SebNU97F3A9gCzOb1InHJNyNnvtLHYnRFZnZm3DfCx5Ebq9830AAN5A8uOoVExGRbk2NxCIi0hk+h+vFuLmZnVxmo8wBAJ4m2TfBPmPghv1GLX6OXj91AABULC9wPmb2mZntHxzrULiGk3eR/8fhmSSbEx4m6rkVyy2cb5vpMY95PrJTG/wx5n6dYYWIdVGvUVFm9pyZbQY3NP8EuN53n+XZvBmuF2VJh4LrCXotgPXNzE/DUiz1QcYTAL701o0usU4ZwwG8QtLPc1tTQc/pqNf7qnLTTAB5Jwj0X++74HqcZkSl+KjJtQeup/ATQVqBKImvG8E56DeC51wzzGy6mR0BYDm4ie2ug+upmu9m2QlRKXfM7GszOwyud+VBcDen/legnJNI9i/0HKKQXAnAtt5q/72+E9l55vvC9fjsDnYH8Fylc60DeM3MaGaEuz4ORW7e610AHB+xb7EG1ELK2TepdZD/e4g/ySYAwMwmmNnPAQyBy9F8K1w6jnzfoeot97+IiHQxaiQWEZFKC//wWQFAPzNbycwOTtjDcFsATQB+ADdMP2wTAFcnKOtbM5uUZ/EnL5sMN5lc2PBSGhRKYWZTzWysmR1hZuvCDdE+PKJOAxA9IWAh45H74/JHMfbb2K8mXAN2UUFvwXB+2i3hfuzXVDDcfGtvdTvKnBjJzMab2Rgz28fMBsN9Ds5DbmPE5jGKm4Lsz9PyAPqY2WpmdoyZ5XsP/NQHAHBpOAcmXC9kf/KjyAnVIpwWNOYsj9xUF8sDuJtkU4xyOlNUTvFK5Rn3JwgEgHu813sGXG/YsNHe328i9/O5bQUnPns8eN8GwDXIhm/e9ARwC8moSRGjzrNi142NkPua+BNgfs/MZpjZ7WZ2tJltENRxf+TeaGmGuxmRr5xvzOw2MzvKzNaH62F5IHJTy/RE7iSBcRyC3Of1gPdeTw/qGTa6hGPV0q4AGuEaa/3J+NaHy2ddFWbWFoyuOQK5k4tGpVTwUzL0iio3+Bz5j1VlroE8Jhf4HlKwHsFN5BvN7BAzWxPAsgCORfZnGHApipav1hMQEZHuT43EIiJSUd4Pny/MbG4ZZbWb2YdwvSL9iZIOIRmngTPpMTsAPOqt7gnXO7TTmdlMM7sJ0T0hk/Smhpl9hdxG0PVIrp9vH5IbIXfCqf8Fjb9xXYLs3ojHJti3Wg6Em2Au7EUzm1nJgwSfg7ORO7lbnPeuzfs8fRkzD+joxBV18k2oFimozxkArvEeGgbgqBLr0BX5EwTGlZXiI0ib8Jq3zapINqlgUWY2y8xuh5skLqwvgIsidvlnxLpiw9pHxywnkpnNMbM7Afy/iIdjX/fMbLaZjUP09TvR9TNQ6nu9NclVSty3JsysI2isHQXgKe/hvUmOqPLx2+FGTYStEpGX2s/bvXKe3NUrwzV8F9q3Swh6zl8D4MKIh0s5r0VERACokVhERLqA4Mein4OXAH5XpUNehNyen2eQ3CPfDnRGkfTTVxRF8n6S2xfpMRj1wy9qQrliovJB3xiVM5PkYojuMZYop7SZzUZ2j9PInl6dheQ2AP4U8VDiifVIbkDyRpLFenX7718p712c+kSlPkhidAn7nAlgtrfut0HKgW4tzwSBSYz2/o5Kx3JtoRtiJHuQPCUqDUMhwSR1z3mr9/JvGgUjQF7yttuUZOSNM5I7IrcBejq8Hqkk/0Zy1zwNehlFr3skbye5c5Fe8GVfP0luCdezthRE6Q3MNRWkh4rKgV+t+AsAINkbuaNlDLmx2T+H+wHYOaJIPwUPkDuhZF0g2ZfkfSSLjTiJOq+T3MAVERHJUm9DAUVERCKZ2bMkn0F2ioAdSW5sZi8X2X0AySEFHp8X7hlrZm+TvATAqaFtmuCGkN8FN3neh3A/VlcEsAVcb6vVkJuvMo6fAtgNwGSS98PN4j4BbhjtQADbwzXEhU02M7+XVRy3wg3Z3Sy0bjiA10hegEU9tjcGcBqyZ7UHgOeRm4MzjmsBnAjXm6vTBO874fKj/gDAnnD5Qf2GqXFm9nAJh+gJNyz6CJKvA3gIwMtww+QXwKVfGIncFBtPlnCsOPzUB3Pghofny816MIBzQ3/vQXJxM/OHcOdlZjNIXovsz8sguByaV8Ytp4sa7f09EYUb6U9H9pD5USTPCkYwwMzuIfkA3PUgYyCAZ0neBDdx2CS469EQuAkTR8ENP/cnTIvj9wAe8dadBfc5CTsBwNMAwhOHXR6MNBgLlxZg6WC/XyK3I8qpZuYPjd8S7rPxFcn74K4t7wOYCaA/gK2CuoTNRm5v663hctVP9cr5Fi5txVYAzvb2mQXgDSQz2vv7A7hrdz5nIrux/GCS51ZoosROZWZvkHwEwE6h1VuS3M7M/lOBQ/QIxegmuDhxKtx5HfZmxOt3E1xsCd9kvY3kb+EagXsE9T7N228Wckd4VNNgkvMKPP6lmWXylhMubdDuJCcCeADue8HHcNf0peCe0yleGa8XS10hIiJSiBqJRUSkK7kAuXlkz0LxHLfHI3rCm4wH4H6Qhf0G7odY+Ec+4YZ+V3T4d8hguOHVUUOsfeeXcgAzaye5O1yDT7gH5BoAbi6y+/sA9gh6dic9bgvJswDcknTfMsWZmOwfyO35WIoNg6WYFkQP668Ev7fiv4Ih45FIjkN2I3FmQrU/Jzzu5XDnbbj38Kkkrw81fHQreSYIfNDMJhXY5y5kNxJnUnz8O7TuAAAPwt0cyugBl8Kjomk8zOxRkm/C3UjI2J3kMDN7O7TdiyQPg2sQDv9+OChYCrnAzApdW5ZF/Od2cYHzaRCAo4OlmAvNrLX4Zg7JPgD28Vb/o8h7fTeyryurANgGuakbuooLkN1IDLj4W4lG4mGId62+wl9hZu+SHIPslCL9UHzEyylJboZVQLE8/lshumfzUAAnxzxGSd8LREREMpRuQkREugwzewy5vb92JhmnYS7psczMDgdwKICpMXdrQe6w+zhmJNi2HcB5ZlbyxEFBr+mN4Rp84jT4tsM17m6cMBex728oMHlVDXwN4Hgz2y1mrt8o8wAkaQT9FsA+BSadK1me1AcPFdrHzCbA9YoPG5302EE+Xb8hcAW4SRe7q6gJAgu+3nA3Z/wetaPDf5jZfAA7wOUhj9uINRvu+lMKP80KkTtyAWZ2G1wj5/sxy/0KwIFmdnqex5Nc9wwuRYw/UWIp5VyJ6LQehewJNxohrNh7/STc9SFsdMLj1g0zexbAf73V25DcqhMO3wbgzCCXdpRTAFyK3IkfoywEcKyZJb0R1pnakWxSvRYAJ5rZfVWqj4iIpIR6EouISFdzAYC/e+vOQm5P4Iows7Ekb4dLUfATAJsAWAZuOPRCuAbkt+F6At5VYiPqSnDpH7YB8CO4nkMrwPWGMrgfixPgehndbGbvlfOcgO/zBB9K8ny44erbwPUmzuQ1nQHXePgMgFsL9UZNcMwOkqfB9ZLsLAbXwDAPbhj7FADvAXgCwL1mVmrDmivc7C2SS8L1Bt0SwAZwk40tA9crtwXutRwP4F8AxprZ13mKK9dov3oA4qTQeBjuvc/YguRQM5uY8PgXw/WSDX+//A3JP5f7Otep0d7fs5DbiJYl6FH/LwDh/OY5KT6C9BO/J3kVXM/i7eB6qS8FYDG48/lzuJtmj8Ody37jc1x3w11fwqll9iK5tpmN9+r/PMm1AewKN4JjMwDLwV0P58LdeHkFbpK6O4rcfNkILtXNtnA3rVaHS9+zWPD4bLjh9c/DXYP8NBMZP4S7bobLWcEr56OgnFvMLGmaCSD3vZ6J3Fy4WcxsAckn4F6rjL1JHlfGe1VrF8D1eA07G8CPK3ycFrgbahPgYtAtZvZBvo2D0S2nkLwRrvf2lnDnQX+4tFAz4a7BTwK4ycy+rHB9K8rM5pNcGu613gru/F4N7rPWF+45fQsXo5+C+15QSvopERGRLOyCabFEREREREREREREpEKUbkJEREREREREREQkxdRILCIiIiIiIiIiIpJiykksIiIidYPkUnB5V2Mzs7gTaYmIiIiIiEgENRKLiIhIPTkObiKkJFiNioiIiIiIiKSF0k2IiIiIiIiIiIiIpBjNrNZ1EBEREREREREREZEaUU9iERERERERERERkRRTI7GIiIiIiIiIiIhIiqmRWERERERERERERCTF1EgsIiIiIiIiIiIikmJqJBYRERERERERERFJMTUSi4iIiIiIiIiIiKSYGolFREREREREREREUkyNxCIiIiIiIiIiIiIppkZiERERERERERERkRRTI7GIiIiIiIiIiIhIiqmRWERERERERERERCTF1EgsIiIiIiIiIiIikmJqJBYRERERERERERFJMTUSi4iIiIiIiIiIiKSYGolFREREREREREREUkyNxCIiIiIiIiIiIiIppkZiERERERERERERkRRTI7GIiIiIiIiIiIhIiqmRWERERERERERERCTF1EgsIiIiIiIiIiIikmJqJBYRERERERERERFJMTUSi4iIiIiIiIiIiKSYGolFREREREREREREUkyNxCIiIiIiIiIiIiIppkZiERERERERERERkRRTI7GIiIiIiIiIiIhIiqmRWEREUo/kSiSfJDme5Lskj4/YhiSvJDmR5FskNww9dgjJCcFySOfWXkREpH4opoqIiFRGZ8dUmlmln4OIiEiXQnI5AMuZ2eskFwPwGoDdzWx8aJudAPwSwE4ANgEwxsw2IbkEgFcBDAdgwb4bmdnMzn4eIiIitaaYKiIiUhmdHVPVk1hERFLPzL40s9eD/88G8B6AFbzNdgNwqzkvAhgQBO0dAfzLzGYEAfdfAH7aidUXERGpG4qpIiIildHZMVWNxCIiIiEkhwDYAMBL3kMrAPgs9Pfnwbp860VERFJNMVVERKQyOiOmNpVbSRERkUoavsaK9t3cBRUtc8IX37wLIFzoDWZ2g78dyX4A7gFwgpl9V9FKiIiIdDLFVBERkfJVI54C9RdT1UgsIiJ1Zeas73DhfsMrWuY+Vz25wMwKFkqyGS7w3mZm90ZsMgXASqG/VwzWTQEwwlv/VDn1FRERqQTFVBERkfJVI54C9RdT1UgsIiJ1pbG5B/ovt0qFS32y4KMkCeAvAN4zs8vybPYPAMeRvANuQoBZZvYlyccB/IHkwGC7HQCcVpl6i4iIlE4xVUREpHzViadAvcVUNRKLiEhdaW9twXdTP+3sw24BYBSAt0m+Gaw7HcBgADCz6wA8Ajdj7EQA8wAcGjw2g+TvALwS7Heemc3oxLqLiIhEUkwVEREpX43iKdDJMVWNxCIiUlcam3ui/3JDOvWYZvYsABbZxgAcm+exmwDcVIWqiYiIlEwxVUREpHy1iKdA58dUNRKLiEhd6WhdWKu7tCIiIt2KYqqIiEj50hJP1UgsIiL1p6HgzVIRERGJSzFVRESkfCmIp2okFhGRutLY3BP9Bw2pdTVERES6PMVUERGR8qUlnqqRWEQEAMkdADwe/NkGYHUzm1S7GtU3kpcAODn4820A65tZRyXKbm9rwXdfdf+hPCIiaZWWmEvybgB7BX8+YmY7d3YdFFNFRKorLTEt7dISTxs682AkJ5G0PEsbyRkkXyD5O5IrllDGPJKfknyQ5GEkIxvBSQ4pUEbUckWR57UJyctJvkLyK5ItJOeQ/JDknSRHk+zn7XOOd4xJecpuJnk4yUdJfkFyIcm5JD8n+RbJv5M8jeSWEfuO9p9LkeexLMnTST5BcgrJBSRnk/yE5D0kjyTZq8D+IyJeu/Ekc86ziLo9VahueY4X9V61BHWeTPI5kjeQ3I1kY5Gy/PPqnDzbDSb5R5KvkpxJsjX492OSz5O8luQvSK4Qse9TBc6x9qCc10leRvIHMV+D/0aU9UyRfXoVqEdHcO5OCM6tPQqU89OI/QcFj90R87MVtXxA8ktv3ZMF6jGc7voR3v6PcV6/UBlAnRyXAAAgAElEQVQNAC4MrbrTD+xFntMCklOD9/jXJAfEPC7prll+ebcmrP8qdNeUJ+k+u/ODZTLJR0ieRHJ5b5+o96/QcpR32MsBtAT/Hwbg4CR1LqSxqQcWHzSkoksaRVzXFHMVcxVzFXO7RMwNbbsT3ef6Y7przkK6ePseyYdInk9yz4j91kz4OvwxtO9F3mNfklwiT/0O9LZtJblhaJPw89yJ5Igkr1UldJeYGnHdUExTTFNMU0zrUjEttM9fI+o+iWTsXAYk+wafqzuC13xm8Fy+C/5+iO4z+cOIfQu9j1HLHbFfkOL17kXy0KDeE0l+G3wWviH5IslLSW5RpAwywW9okuuWcU4Zyb2B6sTTevydWk89iRsBDASwabCcQPIwM7srQRm9AQwOll0AHEvyJ2Y2o+K1BUD3BeRmAD+OeLgZwOrBsi+A3wBYM2H5y8DdkVrfe6gHgD4AVoBrnNkHwHMAcgJ8zOMQwGkAzgTgB++eAPoBGAJgTwDnkTzCzB6OWfxaAA4CkKjRqwzNwdIPwEoANgdwJIBPSR5tZo+WWnAQ6P4KoK/30IBgWQXAZsG6IwH8OUHxDUEZGwTLcSRPMbMrC9RnFQBRF9AtSQ4p8e4l4Z7f0GDZh+Q/AOxjZi0F96wcA3AcgLtD60aQPNzM/pJVWfcF/ka460fGhwDOSXjMA5H9Obs44f49ASwbLNsAOCm49rxVZL8RcNcr357B+Tq30M4k+8A11h6O7NcgY6Vg+RmAC0kuZ2bTi9QpFjObQvJ2AKODVeeRHGdmC8stu72tBbO/mlxuMVKYYm5u+Yq5ySnmKuZWJeYGx7oN7vPsy8TbNQHsDKAdlf1NcxbcNW2t4O9BAK6E+2yF6zgIwFXevheY2euZP8zsFboGrBHBqosAbFzBuhaVkpiqmJZbvmJacoppimlV/x1Jd9MnqgF9ZQBbA3i62AFJ/gLABXDXPd9iwTIULkb+nuQJZjamWLnVRnI/uHi6TMTDSwDYJFhOInmimeW7yTYCZfyGLlVK4mnn9iSOMBfAV8HS5j3WD8DtzL4bX6iMWRGPbYjsuzqFzAzVxV++8zcmuQ6ANxAd2OdF1CfvndMCbkFuYG8HMANA2Q0xITcD+D1y6zgbwAJv3SAAD5I8LEH5Z5NsLqN+cX0H935FXRRWBvAwyZNKKZjkEAC3Izewz4c7d0oZZr8Ai84x//1sBjCG5K4F9h8FF4xzqhs8lsQs5H/tfg7glwnL+xa5n6OoxskZEdt9bWb3ALjX2/bi4Atv2EnI/owYgCPMzD9viwmfF/8zs//F2KclqO83EY8tA+BvMcrI9z71hfsynRfJ/nBf6v8PuQ3ELcg9L5tQ/Ef018h/HZwXsX34S/tKcD80KoOs7CKAYm4xirnJKOYG1YVibjVi7m+R20BscM+11B9/Uc8/s8z+/iDu+YyG+/xnjCS5u1fedXA/ajP+B+B3EccNx8ofMaLXZtV1z5iqmFaYYloyimlBdaGYVu3fkXsi91zIKDoyk+SNcPEnqoF4Ftxnz+/537tYuVj0PkYt38bYvyCSZwO4A7kNxAb3OfDP40LXvaS/oVsR/bz8Yy7Ms92ic6LS8bR+Yur3at1IfImZDTKzQXAn7lHIPqGbAPw6ZhkDAKwB4D3v8X1ZZIhIYM9MXSKWs8IbklwcwMMAlgqtNri7IkPNrG9QnwFwd4keR+4HtSCSqwH4aWjV18HfPc1sSTPrBRewDgTwd5QY7EkeB+AQb/XDANY0s8Xh7jRvB+CD8G4AriXpf/HIZ1UASb4MlOr44P3qB/cl5BgA00KPE8AlRQJmPocj+0L1IIBVzayPmS0Bd/5uCHe+vh6xf5Q7Q+d/H7hzxQ9KZxTYv1AAP6jAY1GOCr12myC34fOAJIWZ2VH+5wjAVhGb7hzxectsdyxcwMgYCOD7O6AkVwVwtlfedWb23yR1JfkjuLvuGXfG3PXJoL5LAVgSwAPe48NIrlvguL0B7F2g/GJf0MYh98v/w3A9lHoF52UfuJ7NY5H7AyrKegWug1G9OJ4GMDX09//FOEZRjc09u/0wnhpRzM1DMbckirmLKObGFCfmBj0TjwmtagPwCwD9zGxg8LotDddD6lq4hoI4op5/Zvl9eEMzexm5vcGuI7lkUMeDAOwWeqwVwCFm1hpx3PuwKD0TUKFYGVc3jqmKaXkoppVEMW0RxbSYSvwdWagheG8WTstyKoAjvNWT4D6HS5jZgOCz1w9udMAfAXwWo07AovcxavHTDiYS9CA+x1v9Odx5uLiZLRFcl34A9zn4vEBZiX9Dm9kHUc8LwEPepv/O8/wfAqoTT+sopn6vbtJNmFkbgOtJ/gzZX7q2TlDGBLrJlMJDCRaHa8CZFr1XSU6BC6xhR5vZ9V59ZgG4H8D9wQUkCT93zO1m9rhX/mQAkwGMI9kzYfmZoepneaufBbB78H7AzAzAkyS3BfAuFt2x6gHXWyJuoDyD5FirwFD0OMzsK7gvIA8DeAku2AMuwF9G8hEza89bQC7//TjLzD4JHa8FrkfAGwAuKnRxz1PfDrjz5HoAx4ce+hHJ3mY2P7w9yc3hhpBkTIR7bqsFf69BclMzezFJPYK6vEzyJgC/Cq1eNWk55TKzqSRPBnBTaPX+JG81N9zrOrgvRRmfofiPgSijvb/vT1qAmc0geTqyr12Ae93eybPbHnBDgTKegzvPMnnntie5vJl94e9Icie4FBJhN8Hd/f7+h0TweXsGwDMkL0aop1QlmFkHyQfhhsUBwFYkVwl/NkrR3roQs6d2/0kBakkxN4dibhkUcxVzExjt/R0Vc5dDdk+j18zsBq++0wE8AuARkieWUI84zob7zK0T/L0sgKuC18kfxn2+5ek9ZmbfknwawE+CVXuTPMrMokboVFwaYqpiWg7FtDIopimmJTDa+7vg70i6NDPbhlbNgRuFkkn9sTiA3eF63Pr7LgOX1iVsPICtzEuLE8SX5wA8R/JMLDqHO11wffFvuk4BsIn/O9fMPoT7DFwNl4IlSsm/ocuVhngK1FEjcciH3t9LJtw/6mSo2JewoHfDkd7qp/zA7jOzVxIeqof397Z0+US/zFN+KUHzp3A9McLOyAR2r/wvSV6J7DtuO5Ncwr8ohcyEex59AawI4GgABSdvqDQzm0zyFGQP/R8KN7zr8ei9Ivnvx74k34l6rYLjJh2mkuGf/4T7QjXfW+/fIbsr2PY33jaJg3vA/xx1yg8Zn5ndTPIALPphBbgvbX/01gHAL8yslEbQ7UL/nwXg/RLKAJJfe/z38Fa4Lw37B383ABiJ6LxWfi+kbwD8MtxA7DOz8QXqUo6XkH1N3A7ZP7ASa2zuicUG+b+fpEoUcx3F3ApQzFXMjSFOzPXf/zVJbmihXL9h1Wo4MrMWkofAva+Z30wHwPUaCw/zfR3AH4oU9xIWvYa94XKPPlG52uaXspiqmOYoplWAYppiWgxJf0eORPZo/gfhRmaG80OPQkQjcbBvP2/dkQU+QwC+v4mWt2duJ/gZXFrCsJMLNeIGjdzv5nm4nN/QZUlLPK3HRuK1vL+j8n0W4t9xmGxmc8qoj29t5N6JqUYy/Q+8v9eDS5r/CtwF+xUAz5lZ3OEDUfy767Pheh3m8zCygzvhhn74w+wzvoMbEp8JOL8heaNVKZF4AXfDNVqF75Jvj2TB/QMAO4b+Pg3A/9HNAPsKgJcBvFiB5+af/5kcPd8j2QPAft52UcF9P7ok9VFDH4vxP0f5LtKd4cjg+JncTSvDDS8N+5uVMJkEyaWRPRHIq4UaWovwX7MO5A5bzBx3ELK/nLTDDUedjkUBDnBBMCvABT8wwl9IAOCezuqRFOFl7+9tUGYjcXtrOiYFqBOKuY5ibuUo5ianmJttClzvqsyP4f4AXiP5DlyPoVcBvABgfBkxOxYzey1oUAgP2w4/hxa4NBPFUjpFxcpOaSROWUxVTHMU0ypHMS05xbT8ohronwXwJyyaY2YHksuYmT+CYXvv7wlm9nySOteIX++5AO4ppaByfkNXQlriaa1zEn+PZDPJo+Fmkw2LlReGZC+SWyF3mMDlMavwJEnLswwJbTckYt84k1wlYmZvIPfuXTPcLKsnwQXNySTfInkU4+XL8vl3dCYWubD5dyejyvBdjEWTLywL4P/FrFvFBHfH/S9L+YYv5HMjXL65sCXhhjv8AcC/AcwgeV8JQ8JAsoHknsjtXfCqP0QIbmhWuAfLR2b2RtDD5mOvfjsnrEc/kj8HcKj3UKfeuQ8zs08BnF5gk2kATiixeP/LVOI0CSSbSK6F3GvNXWY2Jc9uI5E92dxTZvY1gEeRPenDMObmbFsC2UNsgMpdg77Mcw0s1KPBf83WrkRFyIaKLpJNMTebYm7lKOYmqodibnQdWgH8OeKhdeFyE98Il8ppMsnz6CZyjeOFAtedQkNxzwPwVp7HzjWzfGmlwqoSK+Pq7jFVMS2bYlrlKKYlqodiWgEkN8Ki9EWAuxn6aPAb8OnQ+ia4fOE+vwvrmxHHuJrk1DyL3/PfN67AdWzTIvsWMsT7e3yMG6v5lPMbuiIqHU/rMabWuifxKSQzSbCXRG592lB8Vtmz6WZK9HXAJScfE/FYOQZErMuZtbZC9oEbglDoBB8GdzdsL5I7BzmN4lrc+7vY3cuoxwt+MTeXq/UyAOcGq35F8pqY9askf/hI3B8UAAAze4fkKLg7yflmI+0Bl0NoV7pcc1E/cML2I5mZVGIAsu9QZ/w+Yl3UHcjw/3/tbRsnx+44kuMi1i+EGw6S+O5qhV0Nd9d784jH/p+ZJe0pkuEHy7iT3wDAjiTzfRl+HLmTCoRFvodmNp/kQ8i+wz8K2V8COvMaVJSZzSHZgkVD6fwZaxNrbO6BxVMwlKcGFHMLU8ytHMXcwhRznUIx9zS4IeaFJqdZES4/40EktypwY7YsZtYavF/reQ91IHsYeiH+cy07VsbVjWOqYlphimmVo5hWmGKaU+x3pP/aPxRKLXIXskeKjkJu47p//Yi6dgyAu6ESpZSbQZUQp95xlfMbumzdOJ5mqXUjcV/kv1DOA3C4mb1WQrkdAE4xs7h3fwE3FCNfYAwnpv824nE/SFaEmX1Ocjhc1/mRcMN68r1ePwZwHIDLEhzC/4DmK7vQ47Mi1vkuh7vzuyTcncuTkX2nsjP4wTxOvbOY2Z10w4KOggviw+CG5vgaAVxNN6lBoYTpvZA9021YG4Bfm1nWECy6WbV38rYtFNx3ITnQzGYiufkARprZfSXsW1HmJkg7Aq63RXPooYfMLM4ssvn4QasSE7v9Fe7aFTk8i+QwZE9g0Q7g3tDfdyE7wB1I8lRbNEFGNa9BX8NdP33FcqPNxqK8f1E/gBLpaGvB7GndfyhPDSjmFqCYW1GKuckp5mbXYQGAfUhuB+BwuOGl+XpBrQJ33u9b5PgzkNubLyPvJFQkByO6J1oDgGuQ23s1iv/5LztWxtWNY6piWgGKaRWlmJacYloIySa4nPZh4df+XrjG7ExD7oYk1zGzcKqOb+Fujmb4I0vLNQv5f/MluYHk8697JV3zKvAbumzdOJ5mqXUjcVgHXLD5EG7IxfXmZl0tZm6wLIlFH6oGuJlHVzazuMMH9jSzp2JsFzWd4Q/hJq2ouOCkvg3AbcHFZRhckN8LLo9T2G5IFtz9BOZDSbLAUKE1ItYVzWVlZrNJXgjgomDVCVh0R7jq6GaI9es+qZSyzE34cDZcz4P+ADaB+2J1ENxs3Bk94XJP3Ry3aLjA8gmApwDcYNETjR2A7OD2sYUmcgly532CRcOgMnmnrity/FlwP5yWxKIvLL0B3E3yl2ZWi7v2WczsPZIzkH139Lkyi/WDVpJg2wL3o8C/ez8KwGCSO1r0RCCHeH8/EwyTyXgE7pqW+TKdyb30WPD3DLhzJVxXf9bkUq1nZlNL2C8c7KN+ACXSkJJJAWpMMTeCYm75FHMVcwtIHHPN7D8A/gMAJFeH6wm2K9ww7fAYzV1INhb5MbizmSWaiIkk4Xr/5avrziQPNbNi557fyFR2rIwrJTFVMS2CYlr5FNMU0wpIEtN+iuwRJHPhUiRk6jctuImwbWibUcjOE/0pXNqlDH90C8zsILjRNb2QO2FhMUeZWdSEeeXyr3trk2wqIeVEub+hy5aSeFrznMTnmhmDpdHMBprZJmb225iBHQAuMbNl4Sa3+J332PEk/cTs5XoXgN+I4nd7rwozawtyBo0xs60BXOVtslzUfgU87f29GHInIQjz8xIZYub6grszlnndFkPpuX9KsS9yZ5Ute7IQM5tlZv80s1Phktb7wxyLvR+3hM7/BjPrb2brm9kJeQI7kHuurernDEJunqw45+dRZrY0XHD/a2h9A4ArgxxK3dHX3t9LJNj3STMbBPcl6EC4IVUZ2wD4o79DkPPNzzG1rff+zUNub4vv38Pgy/eT3uN7keyToO4VQ3IxZH/h9F/TxDpaWzDnq88quggAxdxEFHNLpphbnGKukyTmwswmmNktZrY3cl/n3kg4BDymo+AacTLmAbje2+ZykiuiMP+5lh0r4+rGMVUxLQHFtJIpphWnmOYUimn+69gXwDzvtd/W22YksxPW+ufdml3ktfXr3RfAnkkKqMRv6EqoRjyto5j6vVo3EleMmS0ws7MA/MN76JLgTkqljmPInUxjW5KHF9qPCZPQk1yNpD8cxOfnWEma3+Ux5F7czg/uNPv1WQ65kwU8YmaxcriaS5ofzotU7Mt0RdBNFnGRt/ojuF4GScrZldkTT2Qxs++QO/SpojnGSP4AwMYl7Lo5ydXibGhuONFhyJ6FthGVz8lWL8qdiALmjENur4bjSK7prfsxkn8JB4Ddg8bYjBu8x5dEkfeI5Nokiw0FLIX/mvmvaWnYUNlFKkoxF4Bibg7FXACKuYXEirl0kzAdSdJvmAnzP4+ZnnQVk+d8Ph3AsQBeDq3rj+iJ9sKqEyvjUkwtSDENgGJaDsU0AIpphcSNaf0B/LyE8ldEdsPxbcjN7X09yX4llN2ZHkHuyINLWWDCWJJ9SIYn+avUb+jyVTqe1mFMrb8ale9XyM79tCKAYyp8jEsA+HeobyB5GclVMytILk5yd5KPAfh7wmMsB+BhkuNJnk5yI5Lf99YLviyc6u3zapIDmNk85N413xLAfSTXCI5DktvC9VwMz4TaCuCsJMeDa9jqlCQuJJclmfkSHx5WYgBOKmF4w24AJpD8B8mD6PLTZY7Vi27ijM28fRK9HzEc7P09H8BXeRZ/eEnsu2jBa+PP7rxFjC+bXY6ZfYXs2ZbLuRt7GbJ7ATTBzYge5r+Hc5D/PQznfuoDNzQwU++H4SbHCzuC5AMkh5MkAJDsQXJrkjfB/RiodO4qAPB/uDxTboENzT2w2LKDK7pI1SjmxqSYm4hibrpjbgPc+fspyUtJjgjf5CS5CnIbbt6yPHMBlCKIozfB9TDNeBbAVeaG8I9Gdu7GHUkeWaDIisfKuBRTE1FMi0kxLRHFtHTHtH2RnT+6Bflf+znevuHRpNMAnO89vhGAF0nuRrJ3aH1UepeaMJd+0b/erAjgJZIHePF9dZKnwjXA7xraviK/octVjXhajzG1nnISV4SZfUjydmRfzH5D8gYz8z90YfeSzJeQ+x0z+36omZnNIrkLXM6fzLCCBgAnAjiR5By4LxjhYW9ROajiWAvuzunvAXSQnAV3svszmHbATZ6RiJldRXITuAkNMnaBy+32HdzwGv8OugE41kI5jGIeq4XkeSje26JUY0j+EW6YQdQdNQPwKzPzewnE1QR3sdoVAEguhLubNxC5Ew+8AuClEo+TI/ixMtJbfYrlyfFE8jhkDyMbBeCcuMczs4dJvoLsHzXnk3w06AXRnTyBRYF0AMk1zOzDQjtEMbOFJP8A4E+h1XuTXN/M3gzu8u7u7bafmT0SVR7JS+Am58g4GMDY0N/7w/3IHBZa9/NgWUByHly+5CQ3A98iGTVxHQDcb2ZHRazfxPv7PwmOF6mjtQVzptXf0BvJpZibjGJuIoq5irmDAJwULAg+I42IngDLHzof5WGS+RqSXzOz8HD4Y5Ddg2segEPNrAP4Pr/lmQAuDm1zKcnH86Q6CMfKFpSfCzM2xdT4FNOSUUxLRDEtvTHNb2QfE6QZyRFcGx4MrdqL5DHBTRkAuBDA2l6Z6wC4H+4z/i3cZ7yUERDXkbwiz2PTzCwnB3JcZjaO5NoAzgitHgzgdiyqd1/kXptQhd/QJUtLPO12jcSB38HlLMlMQLA0XO4i/85L2MACj+VM5GRmb5PcAMAtAEZ4D0cFlnwzReYT9SW2AdH1XAiXC+ithMfIGAV3F+x0ZH8wo2aenAbgyDIC5C1wdxdXL3H/QhZH/tkyJ8O9Ro/mebyYqC9+PRFxIYN7LfepcBDcBkA4S3obsmdE9d0F4Aos+gysSnILM0vyo+RsuOEhGRvA3Ym7O0EZXcFYAEeH/t4duT2U4voz3AQDKwV/E+66swuAveGCdsY3AP5VoKw7kB3gRpBcycw+AwAz+5bkZgCuhOvRFG4MjprxuC1YCsk3czwQMRM7XX6o8PCpF0ppYPc1BndppctQzE1GMbc4xdx0x1yDe8393yn5zrcxZvaXGMculC9yycx/gt6cF3qPn25mE711l8FNoLd58PdiAP5Ccofw+UhyILKvW/eYWUVTYxSimJqYYloyimnFKaalNKYFI1+29PYZV6C8x+EmRs98VvvBxZnbgO9T1hxM8g24VIfhUaINyB/nXkRuqgpff1Qntz8AwMzOJPke3LkV/s2Zr96Z615Ff0OXIy3xtFs2EpvZBJJ/Q/YMiKeQ/FOQK6dSx5kMl0dqM7hefVvC3REZABecv4Qb4v0ogDsTlv1SMBRlR7jhJ8PgLu794S7YswFMwKIZTD8q43kYgPNI3gjgcADbwSXQXwIuiEwH8AZc7qlbg7xQpR6rjeQ5CC50VdAOd0GZATf0/10ADwP4hxWe8bqY4+AS8W8Hd1d0DQDLw124W+Feo7cBPAA3kUDSL3PF+Hcgn7Ds2TyzmNlXJJ8CsH1o9cFI0HPFzB4l+RKye7+cR/LeTE+a7sDMXib5JoD1g1X7o8RG4qCXwx8AXBtavXNwjfDfw7sLDY01s1dJTgQwNFhFuNmPLwhtMxfA4cExD4GbMOQHWPTFYjqA8XC50243s+mlPK8CtkH2MDx/Mp+StLe1Ys40P3WV1CvF3MTPQzG3OMVcJ5Ux18zaSS4NYAcAWwTbrgrXkNsTbpjpZLgfvTeb2fOVql/Q4+4mZPdWfhYRPZXNrIPkaLjrTuYH7I/hJrsLfw/YA9kTvFYkVsalmJqMYlri56GYVpximpPGmHYQsnuKf2BmbxQor5XkvXCfpYyD4Z3zZnY5yZuDx34M4IfIjpFTALwP9549ambvl/D0Ks7Mbid5H9yNuB3h0mUsDRdDM7m5n4f7nZxJy1Tx39ClSks8Zffr8S8ikgzJg5A9G+8Py+hRkRokx2LRj6gpAIZW4ovt6ssvYWOO+Em5xWTZ+Xd/f83Mhle0UBERSSxtMTdobNkm+LPTY5FiqohI9aQtpqVZNeIpUH8xtVv2JBYRSeh2uGEpmbvAp8LdcZQ8SK4Idxc446xK9XxobOqBxZZdqfiGIiLSFaUm5pLcGIsaiIHcyXuqTjFVRKSqUhPT0i4t8VSNxCKSesGQ0V/D5YECgP1InmFmk2pYrXp3IhYNn30HFZoQAADa21pSMZRHRCSNUhZzfx36/6NmVvbkrkkppoqIVE+aYhrJAXCTysY1ocxULXUlLfFUjcQiIgDM7J/InV1Y8jCzk5E9KUDFNDb1QL9luv+kACIiaZWWmGtme9W6DoqpIiLVlZaYBpdz+dqiWy2yHCIm7+yq0hJP1UgsIiJ1pb2tFXO+7v53aUVERKpNMVVERKR8aYmnaiQWEZG6QgBugnkREREph2KqiIhUgpldB+C6WtejVtIST9VILCIidaWhuQf6LdP9JwUQERGpNsVUERGR8qUlnqqRWERE6kpHWwvmfD2l1tUQERHp8hRTRUREypeWeKpGYhERqSsNTT3Qb5kVa10NERGRLk8xVUREpHxpiad12Uj8zjvvvFrrOohI97HuuusOz/fYR9Nm6noTw2rLDMz7GlZaR1sL5qbgLm1nUUwVkVooFHsB4O3Pp6X22jRsxWUUU7sgxVORwopd9ydNn6XPkFTckKX6d0pMTUs8rctGYhERSTOCDd1/UgAREZHqU0wVEREpXzriqRqJRUSkrjQ0NaPf0t1/KI+IiEi1KaaKiIiULy3xVI3EIiJSVzraWjFn+he1roaIiEiXp5gqIiJSvrTEUzUSi4hIXWlo7pGKu7QiIiLVppgqIiJSvrTEUzUSi4hIXeloa8Hc6d1/UgAREZFqU0wVEREpX1riqRqJRUSk7pDdf1IAERGRzqCYKiIiUr40xFM1EouISF1pbErHUB4REZFqU0wVEREpX1riqRqJRUSkrrSnZFIAERGRalNMFRERKV9a4qkaiUVEpK40NjWj31Ir1LoaIiIiXZ5iqoiISPnSEk/VSCwiInWlva0Vc77p/ndpRUREqk0xVUREpHxpiadqJBYRkbpCAmzo/pMCiIiIVJtiqoiISPnSEk/VSCwiInWloalHKobyiIiIVJtiqoiISPnSEk/VSCwiInWlo60Vc7/5stbVEBER6fIUU0VERMqXlniqRmIREakrDU3N6LvU8rWuhoiISJenmCoiIlK+tMRTNRKLiEhd6WhrxdzpnXuXluRNAHYBMM3M1o14/FcARgZ/NgFYC8DSZjaD5CQAswG0A2gzs+GdU2sREZHCFFNFRETKV4t4CnR+TFUjsYiI1B2yobMPORbA1QBujXrQzC4GcDEAkNwVwIlmNiO0ybZmNr3alRQREUlKMVVERKR8NYinQCfHVDUSi4hIXWloaka/Th7KY2bPkBwSc/MDACYhkPEAACAASURBVIyrXm1EREQqQzFVRESkfLWIp0Dnx1Q1EouISF3paGvD3BlTa12NSCT7APgpgONCqw3AP0kagOvN7IaaVE5ERMSjmCoiIlK+eo6nQOViqhqJRUSkrjQ0N6PvUstVutilSL4a+vuGEn947grgOW8Iz5ZmNoXkMgD+RfJ9M3umrNqKiIhUgGKqiIhI+aoUT4E6i6lqJBYRkbrS0daKud9U/C7t9ApNfrM/vCE8ZjYl+HcayfsAbAxAP2hFRKTmFFNFRETKV6V4CtRZTFUjsYiI1JXGGuV7KoZkfwDbADgotK4vgAYzmx38fwcA59WoiiIiIlkUU0VERMpXr/EUqGxMVSOxiIikHslxAEbADff5HMDZAJoBwMyuCzbbA8A/zWxuaNdlAdxHEnAx9XYze6yz6i0iIlJvFFNFREQqo7NjqhqJRUSkrnS0tWLejK869ZhmdkCMbcYCGOut+xjAD6tTKxERkfIopoqIiJSvFvEU6PyYqkZiERGpKw1Nzeiz5KBaV0NERKTLU0wVEREpX1riqRqJRUSkrnS0tdXkLq2IiEh3o5gqIiJSvrTEUzUSi4hIXWloakbfJZerdTVERES6PMVUERGR8qUlnqqRWERE6kqt8j2JiIh0N4qpIiIi5UtLPFUjsYiI1BcCwSysIiIiUg7FVBERkfKlJJ6qkVhEROpKWiYFEBERqTbFVBERkfKlJZ6qkVhEROpKWobyiIiIVJtiqoiISPnSEk/VSCwiInWloakZfZfo/ndpRUREqk0xVUREpHxpiadqJBYRkbrS0daGeTO7/11aERGRalNMFRERKV9a4qkaiUVEpP6wodY1EBER6R4UU0VERMqXgniqRmIREakrDU3N6JuCSQFERESqTTFVRESkfGmJp2okFhGRutLR3op5M6fVuhoiIiJdnmKqiIhI+dIST9VILCIidaWhsRl9lli21tUQERHp8hRTRUREypeWeKpGYhERqSvW3ob5KbhLKyIiUm2KqSIiIuVLSzxVI7GIiNQdkrWugoiISLegmCoiIlK+NMRTNRKLiEhdaWhqQu+B3X8oj4iISLUppoqIiJQvLfFUjcQiIlJXOtraMP/br2tdDRERkS5PMVVERKR8aYmnaiQWEZG60tDUjD4Dl6l1NURERLo8xVQREZHypSWeqpFYRETqSkdbayru0oqIiFSbYqqIiEj50hJP1UgsIiL1hQTZUOtaiIiIdH2KqSIiIuVLSTxVI7GIiNSVhsYm9E7BUB4REZFqU0wVEREpX1riqRqJRUSkrnS0p2NSABERkWpTTBURESlfWuKpGolFRKSuNDQ2oc+ApWtdDRERkS5PMVVERKR8aYmnaiQWEZG60tHehvmzpte6GiIiIl2eYqqIiEj50hJP1UgsIiJ1hkAKJgUQERGpPsVUERGR8qUjnqqRWESkAj6eOKHHDltsMuz2+x96b+PNNp9X6/pk3HLj9UtefP65g9/59Is3al2XuBqamtB7YPcfyiMiIlJtiqkiIiLlS0s8VSOxiEgRxx528JBvZ85suu2+ByeG17/8wvN9Dtx9l7X++dxLbw8eskrLM6+/9b+ll1m2rVb1jLLPgQfN2HGXXWfVuh5JWHsbFqRgKI+IiEi1KaaKiIiULy3xVI3EIiIV0NTUhOVXWLGuGogBoE/fvtanb9+6q1chbGxC7xRMCiAiIlJtiqkiIiLlS0s8VSOxiEgF+OkmWlpaeMYpJ6741L//OfC7775rGjBgQNsOO+/6zXkXXjIFADZfb+1hO+++xzeTJ03q+dzTTw7o1btPx8hDD5t64q9P/ypT5piL/7jsg/fes+SXX0zp2bdfv/ZNN99y1rkXXvz5wCWWbAcWpZK44vo/T7zgnDMHT/3yyx4/WGvtuRdfdc2k1VZfoyW8TTjdxMMP3Nf/mssvXe6Tjyb26dmzV8c6660358a/3fFR7z59rLNftyjW3oYF335T62qIiIh0eYqpIiIi5UtLPO3+WZdFRGrgmisuXeaZ//x74MVXXfPxY8+88M4lf7r+o1VXG7ogvM0df71l2VWHrj7/7kf/Nf4Xvzx+yvVXXrHCvXeOG5B5vIENdto553324BNPv3vRmKs/Hv/O231PO/H4weEyWltbef1VY5b7/aVjPrnt3n+8P2f27KbTTzp+5Xz1evTBBxY/8agjh26y+Rbf/f2hx8bffOfdH2y0yaazOzo6WPlXoVQE2VDRRUREJJ0UU0VERMpX+XhajzFVPYlFRGJ45cUX+q+78vIbhNd1WP6Ot198/nmPFQevvGCrbbef09DQgCGrrtqy5TYj5oa3WXPtdef8+qxzprr/r7Pw7Tff6HvLjdcvu+d+B3wLAL885dRpmW1XHbp6y/z58z8/8ej/G9re3v5JY2MjAKC9vZ3nXXTpp2uts+5CABh95C+mnnfGaUM6OjrQ0JAbdK694rLlt97uxzPP+sOFX2TWrb/R8PklvCRV09DYhF4Dlqp1NURERLo8xVQREZHypSWeqpFYRCSGYetvMPuCy6/8NLxu/Ntv9T7luKNXi9p+35Gjvjly5P5rjBi+/robb7b5dyN+ssOsn+2626xM4y4ArLfBBlmNxusPHz73mSefGJj5+4nHH13suivHDJo86ZPec+fOaezo6EBbayu//GJK84orDW4FgObmZss0EAPAoOWXb21rbeWMb75pXGrppdv9ek2c8GHv3fbep64z7ne0t2HBrO4/lEdERKTaFFNFRETKl5Z4qkZiEZEYevXq1bHGmmstDK/7dubMxnzbD99k03lPv/a/t/75yEP9n//v04ud+auTh4y94br5dz746IfhhuJ8PvloYo9fHnHo6rvssdfXJ/z6tC+WXGqptjdfe7XPGaecuGrLwoXfp4ZobGzM6s5MuofqK31EMg2NTeidgru0IiIi1aaYKiIiUr60xFM1EouIVMni/ft37H3AyJl7HzBy5gvP/vebUXvttuaED97v+f/Zu++oKK42DODvbAOWpffem9IssddoNNGoMbYYS+yKBUWxt9gLFuw1Gk1RE3tvUTEx0dgVESyo9CogfcvM94cuHyJokmVhYZ/fOXvCztydvbMn7CPv3LnXu07dYiKi+3du65duf/fmTX1HJ+ciIqJb1/8Wy+VyZvGqNfECweuv6jMnjhm/8yb/kruHZ+Fff/xhODRorMaOJtaWq7QAAADqhkwFAABQnbbkKYrEAABqsCZsqZWllbXMv179AqFQyB3+dZ+pWF9f4eDoJFO2efggUhK2cL511x49s/64dMHgzMnjZgvDVj0jInLz8CxmWZbWrwqz6tK9R9bff/0p2bv7e0tV+zUyeEJyyKjh7vNnTLX9sk/flxzH0cVzZw2HBo3J0JdIWFWPXymY/4+IBgAAABUgUwEAAFSnJXmKIjEAgBpIJBLF91s3WyUmxOsyDEPunl4FG3f+8Lh0IfarAd+kPoqO0uvxaXsbXV09dvjosUk9+/bLInq9mFzI1Bnxu77bar113Rq7On7+eSHTZibMmDjeVZV+de7WPUculz/ZFL7K9ufd31vr6YkVdf3984ePGZeu6jlXFm1ZFAAAAEDdkKkAAACq05Y8RZEYAOADNuzY/by87Y2aNit4kvrypvJ56Z+HBo3N+NCUDmJ9fcW2H/c+q2j/mImhaWMmhqaV3ta734CS9/hm+MjMb4aPfOuel7afdMwt3Y/y2nTr0SunW49eOe/rW3ViFQoqevWyursBAABQ4yFTAQAAVKcteYoiMQAAaBQeX0C6RrX/Ki0AAIC6IVMBAABUpy15iiIxAABoFFYhp6JXtX9RAAAAAHVDpgIAAKhOW/IURWIAgGrw572o+9XdB03FkHYsCgAAAKBuyFQAAADVaUueokgMAFCJMtLT+ZNGj3S+8fdVQ0MjI/m4SVMSv/5m8DuTFxUVFTLTQ4Idfr9wwUSukDO+/gF5S1ave+Hg5CRTttn7wy6TLWvDbdPSUkUmpqayRSvDn7f+uH2ecv+YIQOdy5svuaLtNQXDF5CukVl1dwMAAKDGQ6YCAACoTlvyFEViAIBKND1knKNAKOSu3o++e/vmdfHYoYPc/QICC/wC6xWVbrdx9UrLyLt3JccuXn5gbGyimDh6pNPsySGO3/9y8CkR0dmTxw3XhC21X7lhS2zjZs3zkxIShERELMvSpDEjHYNDp6YQEaWlpgoWz5lpt2hlePzM0BCHmfMXJRARPXv6RLQmbJnNqo1bXvB4vKr+GFTCsXIq1oJFAQAAANQNmQoAAKA6bclTFIkBACpJXm4u7/eLF0wOn7v4wMDQkG3Vtl1es5atc37d85OZX2C9xNJtE+LjdJo0b/HKxtZOTkTU+YvuWWEL5zko969bGWY7fMy45GYtW+UTEZUeYRwcOjVlxaL5tndv35JMnzDOcVzolGR9iYQdMjIoddqEcU4xDx+IwxbOt500Y1ZSTSsQEymv0tb+RQEAAADUDZkKAACgOm3JUxSJAQAqSczDKB0en89516lbrNzmVadOwc1rVw3Ktv1qwKCMhbOmOybExwlNTEwVRw/8atq0RascIiK5XE6Pox+KX2ZkCFrW8/OVSqW8lm0/zp6/bEW8WF+fIyIihiGO4xhiGOLxeFzpY3McxzA8hmpigZiIiFMoqEgLrtICAACoGzIVAABAddqSpzWzggAAoIHy8nL5YrE+W3qboaGhoiA/n1+2rae3d7GltY20TcNA/3oezvWex8bqhc6ck0RElJKcJJTL5cxvZ06b7D12MubYhctRjx5GicMWzrNlWZbWrlhmHTpjdlJg/Qa5S1avjduxeaNVfl4eb8fmjVZLw9e9CKzfIDd0xuyktSuWWbMsW/atawSGYSr18Q/ebwfDMGkMw0RWsL8NwzA5DMPcefOYU2rfpwzDxDAM84RhmGmV+DEAAACoDJkKAACgusrOU03MVIwkBgCoJBKJgaKgIP+ti2+5ubl8sb6+omzbqePHOcqkUuZqZMwdiYGEDV+2xPqbXt09Tlz6I1pPT8wSEfUdOCjNzt5BRkT0zfCRKVvWrbHl8XiJqzdti1Mex9LKSh6+ZfsLIiLlf4mIXNzcpaXb1SS86lkU4HsiWk9Eu9/T5neO4z4vvYFhGD4RbSCiT4gogYiuMwxzlOO4KHV1FAAA4J9CpgIAAKiumvKUqIozFUViAIBK4uVTp5hVKJiYh1E6Xj51iomIYqKi9Fw9PAvLtn3yKFocHDo10dzCQkFENHLc+LTtG9fbpqWmCiytrOTmFhay0lcWy7vKuGHH7ufl9aOi7TUFq5BTcW5Wlb4nx3GXGYZx/g8vbURETziOiyUiYhhmLxF1IyL8QQsAANUOmQoAAKC66shToqrPVBSJAQAqicTAgG3R5uPsFYvm267etO3F7ZvX9a5cvmT808Gj0WXbetf1zT/06z6z1u3a54r1Jey2DestTM3NZZZWVm8Wsvsy4+fdOy0/6dQ5RygUcbu2b7Vq2aZtdtWfVdXj8QWka1gtV2k/pCnDMHeJKImIQjmOe0BEdkQUX6pNAhE1ro7OAQAAlIVMBQAAUJ0G5ylRJWYqisQAAJVoafi6FxODRjg39vUKMDQ0lE+bOz/OL7BeUcSF85Ixgwd6RL5Iuk1E9O2SsPhZoRMc2zVp6CuXyRlnV9fCtVt3PFEeZ+qcecnTJ4wTdGzexFcoEnEfd+j4MnTmnOTqO7Oqw7IKKqr8q7TmDMPcKPV8K8dxW//F628RkRPHcXkMw3QiosNE5FGpPQQAAKhkyFQAAADVqSlPiTQsU1EkBgCoROYWFord+w89Lbu99cft85QFYiIiC0tLxZbdPz+r6DgikYhbuXFLHBHVyHmFVfVPJvH/lzI4jmv4X1/McdyrUj+fZBhmI8Mw5kSUSEQOpZrav9kGAACgEZCpAAAAqlNDnhJpWKaiSAwAABqFxxOQjoFpdXfjLQzDWBNRKsdxHMMwjYiIR0SZRJRNRB4Mw7jQ69D9ioi+rr6eAgAA/B8yFQAAQHWamKdElZ+pKBIDAIBGYVk5FedV7fTLDMPsIaI29Pp2nwQimktEQiIijuM2E1FPIgpiGEZORIVE9BXHcRwRyRmGGUtEZ4iIT0Q73swBBQAAUO2QqQAAtU/sk8eidk0/8tt79MTDxk2bF1R3f7RBdeQpUdVnKorEAACgUXh8AekamFTpe3Ic1/cD+9cT0foK9p0kopPq6BcAAIAqkKkAUJslJyUKwpctsfkj4pJRelqaSKwvVtjZOxR/1qXby2+GjcgwMDRk1d0HFwvjBsvXrI/t9XV/tUxYGzR4gHN2VpZgz+HjTz7cumqlpaYIOrVpUSczI0N4LTL6rqWVtZzo/0Xssu03fPf9405dv3j17pE0X3XkKVHVZyqKxAAAoFE4RfVcpQUAAKhtkKkAUFvFPnks6t3lM2+xvr5i7MTQRN+AwEKxWMw+uH9P75effjA3MTWV9xs05GV5ry0uLmJ0dHS5qu7z+2hinz5k/Mjhzu6eXgWZGRlG5e3fuGPX44B6DUpGOptZmCuqrneVS1vylFfdHQAAAHgbQ8RU8gMAAEArIVMBoHaaFhLsxDA8Onnxj4d9Bw7K8gsILHLz8JR2/bJnzo8HjjztO3BQSYHYxcK4wcbwVRYDenV383awrvft9Kl2RET3797R/apbZ/c6jjb1Aj2cA4b26+OSlJBQMpjy6p9/iHt27ugR4OYUUMfJtt7n7Vp7XYm4pK/c39jP24+IaMr4sa4uFsYNlM+JiI4c+NXok+aNfTxtLes38fPxmzttsl1xcRFT+rULZs+wHT3kG2dfZ/vAkQP7u5Q9xwWzZ9iePn7M7OqVP4xcLIwbuFgYN7hw9oyBcn/88+eiHp06eHjZW9Vr3TCw7pkTxw2V++RyOY0ZOsipiZ+Pn5edZf3mgb6+KxYvsFIo/l+nDRo8wLnvF5+7r12x3LKhj7u/r4t9YNDggc75eXkfrBWuXbHcsriokDcsaGxqRW1Mzc3ltvb2JY+aVgR/mxryVAMzFSOJAQBAozB8frXcygMAAFDbIFMBoDZKT0vj37h21XBU8IREiYFBuVNK8Hhv1zm3blhrO3bi5MS5i5bGMwxDifHxwv5fdvPq8mWPjFkLFifIZDJm+YJ5dkP69XY/ceH3aD6fT3mvcvldv+yZWf+jRvEMw9B3mzdajhzU3+PitVv3LSwtFUfPXXzYxM8nYOb8RS86demWzRfwiYjo1LEjhtMnjnedPHN2XIvWbfPinj8XzZ0+xUkqlTJLVq1JUPZpz+7vrYaMDEqaMHlaMsu9Wz+dMHlaSuyTx7qvcnL467bueEb0ejRuYny8kIhozYpldqEzZid4+dSNC1++2GZy8GjXZi1b3TMwNGRZlmWsrK1l4Vu2PbW0tJJfv/qX/oJZM5xMTE0VQ0eNyVC+x707tyXmFpay7/cdeJQQFycKHRvkun71iqKps79Nqejzv/H3Nb1d27dYHz5z4eHjmGjditqNGzbYTSqV8uwcHIsHDRuRqq4pOaqCtuQpisQAAKBROFZBxXk51d0NAACAGg+ZCgC10eOYaF2O48jdw7Oo9PaGPh7++Xl5fCKiDp06Z67Zsj1Oua9dx89eDgv6f3F0/sxptm4eHoULw1YlKret377zWUMf98C///pT3LRFy4L2n36WW/r4K9ZtjGt4/pzx6eNHjQYMGfbSytpGTkRkZGSksLW3lyvbbVqz2qb/oKEpg0cEZRIReXh5F7/KyU6YMSnEZdGK1QnKAnZAvQa5oTNmVzgS18DQkNXV1WWLCgt5pY+v1H/wsNRuPXrlEBHNnLcosVXDALPbN66LW33cLk8kEnFzFi1NUrZ1dfeQRt67Kz5x5LBp6SKxWKzPrt609YVAICBf/4CiE0cOZV3784ohEZVbJM7LzeVNGDXcbfrc+XEOTk6y8orEEgMDNjh0SkLjps3z+EIBd+b4MeNpIcGuRUVFzwYMGVbuFCCaTlvyFEViAADQKAyPT7oS4+ruBgAAQI2HTAUAbbLv6IlohVzBTJ0wzkkqLX5rKLF/YGBB6edRkffF9+7clvg42NQre5xnT5/oNm3RsiAlOUmw+NvZdrf+/tsgK+ulgFWwjFRazEtKSBC9rx+PYqLF0VFR+j/s2G6t3MZyLEmLi3nJiYlCOwcHGRFRXX//fFXO19fPv1D5s/KY6WmpJXW+zevWWBzct8c8NSVZJC2W8uQKOWNlZS0tfQxnV9dCgeD/pUFLKyvZg3t39akCUyeMcwioVz+3Z99+FU7Qa2llLQ+ZOqOk+N24afOCrJcvBTu3bLKuqUVibclTFIkBAECjcKyCivNr/1VaAAAAdUOmAkBt5OHlXcQwDD1+FPPWKFY3D08pEZGunu47U1CIxfpvbWNZlmnSvEXOnIVLE8q2tbK1kRERBY8Y6pL1MlMwdc638U4ursW6OrrcgF5feEpl0vfO2cuxLDM0aHRS95593plewdLaWvb/PonLnSrjnxKIhCVzVChHJ7MsyxAR7f1hl8mqJYscxk+eGt+oWbN8I0NjxXebN1heunD+rUqnQCB4e54LhiGW4yqcLPfG31cNM9LSRG5Wpualtzf1rxPQf/DQlHlLwxLLe11ggwb5J48eNi9vX02gLXmKIjEAAGgYhojBuqoAAACqQ6YCQO1jYWmpaNioyatff/7RcvT4iWkGhob/utjqU9e34PzpUybObm5SkUhU7oJqkXfvSCbPmhPXpXuPHCKi5KREwcvMTGHpNgKBgCu9GBwRkbuXd8Gzp090PX18iv9tv8oSCoWcQqH41yucXb92VeJTt27+mJBJ6cpt8XFxOqr25/u9+x9JpdKS/ty6fk1//szpzjv3/Brj4e1dVNHrou7fF5uamcsq2q/5tCNPUSQGAACNwtOSW3kAAADUDZkKALXV4lXhL3p36eT9WZsWdUaPD0nyC6xXIBAIuNs3rus/efRI3Khps/cO+xw+elzakQO/mg/t18c1KDgkxdLKShb75InO8cMHTBeErYo3MjJm7Rwci44dPGDWsHHT/Pz8PN7SeXPtBQLhWwVlK2sb6Z+/Rxi2atsuV0dXlzMzN1eMDZmUNG74EPf5M6dJu/Xs/VIgEFDU/Xt6d27d1F+0YvU7I5ffx87esfivP/4wioq8r2NuYaEwNjFVfPhVRC6ubsWnjh42P3HkkKGbh1fxwX17TO/evimRGBj8o9dXxKeu71uF78z0dCERkXfdukWWVtZyIqJd27eYCQRCLqB+gwIej8edPn7U+OAvey3GhIT+q3PXJNqSpygSAwCARmG15FYeAAAAdUOmAkBt5e7pJT3+W0TU6uWLbdavXmGbnpYmEvAFnKOzc1HPvl+njQqekPa+19s7Osr2HjkZveTb2XYjBn7tIZNKeRZW1tLGzZrn6OrqckREy9asfz5j0ninnp061DE1N5cGBYck7diy6a2RxJNnzYlfvmCeQ6uGAf5mFhaya/ej73/Wpdur9du/f7Jh9Qqbn3bttOLz+WTv4FjUrUevjPJ7U7FBI0ZmXL/2l0HPTh3qFBYW8r77ad8jZ1fXD45QHj5mbPrDB5F6UyeMcyWOqHW79llffzM49ejB/VUy5cPW9WttUlNTRDwej+wdHIvmLFr6vKbOR0ykPXnKcFy5o+qrVWRk5I3q7gMA1B6+vr4NK9r3NC0L3zf/gJulSYWfYWXz9/Hgju5cU6nHdGna+SbHcVV2DpoEmQoA1eF92UtEdD8hTWu/m/zsLZGpNRDyFOD9PvS9/zwjB79DUOmczY2qJI/UkadEmpepGEkMAAAahVUoSJpX+6/SAgAAqBsyFQAAQHXakqcoEgMAgGZhtGNRAAAAALVDpgIAAKhOS/IURWIAANAoPB6fdLRgUQAAAAB1Q6YCAACoTlvyFEViAADQKByrIKkWLAoAAACgbshUAICqk5Gezg8JGu58/dpVQyMjI3lw6NTEfoOGvLNYW1FhITN1wjiHyxd/M5HL5Yyvf2De8jXrXzg4OcmIiGKfPBZNnzje8cH9exKhUMS1/aRD1rLwdXFC4f/XzAsaPMB5084fnpc9dkXbQTXakqcoEgMAgEZheHzSkRhVdzcAAABqPGQqAEDVmTphrKNAKOSuP3h09/aN6+KgIQPd/QLrFfgH1isq3W796hWW9+/ekZy89McDY2MTxYSg4U4zQic4/vDroadERNMnjnc0NTOTX3/w6G7Wy5f8fj26em5eG245btLktBmTJtj37jcgk4goLzeXN3/mNLug8SGp4cuXWk+YMi2FiCgtNUWwcPYMuyWr1sbrSyRs1X8StY+25CmKxFooOjpad9asWc6xsbFiY2Nj2YULF+6X1y4iIsJg7NixnhcuXLhrYWEhr+p+arqQkBDnnJwcwY4dO55Ud18AapPXV2lfVXc3AAAAajxkKgBA1cjLzeVdvvCbydHzlx4YGBqyrT5ul9e8VZucX3/+0cw/sF5i6bYJcXE6TVu0fGVjaycnIvr8iy+zli2Y56Dcn5yUqDNgyLB0PbGY0xOL5U1btHr1+FG0HhHRhCnTUpbO/9b21vW/DYKGDHQZOnJ0qoubu3TClGkpyxfOs71z66Zk6vixjsGTpyWjQFx5tCVPa/+sy1rq1q1bYn9//wa9evXyLrsvPDzcVkdHhz1w4EDk3r17H1Z0jCZNmuSdPXv2rpmZmcYUiLt06VInICCgwaNHj3Squy9z586NX7ly5bPq7gdArcTwKvcBAACgrZCpAABqF/0wSofH53M+dX2Lldu869QpePLokV7Ztn2/GZRx59ZNSUJcnDA/L493ZP+vps1atCyZy6DfoKGpxw4dMMnPy+PFv3gh/PP3y0ZtPm5fsp9hGI6IiCGGeLzS38sMEUcMMQzxeDxOTaeqvSo7TzUwUzGSuJb69ddfzbt06ZJ27tw5s4cPH+r6+PiU3N6QmJio26JFi2wXFxdpRa+XSqWMjo4OZ2NjozEF4r///lucaReomAAAIABJREFUnZ0taNeuXea+ffvMZ8+enfjhV1U+mUxGfD6fjI2NFdXx/gC1HcPXjlt5AAAA1A2ZCgBQNfJzc/lisf5bI3cNDI0UBQX5/LJtPb18iq2sraUtG/j783g8cnFzL1wavi5Gub95q9Z5+/f8ZOHv5liPZVn69PMumV/06pNNRBS+fKn1gCHDMgry8/hhazfGzZ85zc7ByUkavnyp9ZRZc5KWL5xnO29pWAKmm6hc2pKnKBLXQgUFBcyFCxdMt2/fHlNUVMTbt2+f+bfffptAROTn59eAiOj58+d6P/74o82AAQOSe/XqldG1a1e/OXPmPDt06JB5dHS0JCgoKN7T07Oo7HQT165d01+zZo3do0eP9Hk8Hufu7l4QFhb2zM7OTnb27FnD7777zubFixd6RESenp7506dPj1cWqJ89eybq2rWr34IFC57u37/f4uHDhxJLS0tpaGhofLt27T44bn///v0W7dq1e9m+ffvs6dOnu06bNi2x9MTtffv29XJycirU1dVlT58+bc7n87kBAwYkDxo0KH3evHkOFy5cMBWLxYoRI0Yk9u3bt2Ty+ISEBOGSJUscbt68aUhE5OPjkzdjxox4Dw+PYiKi5cuX2166dMmkX79+KTt37rRJS0vTuXLlyu05c+Y4lp5ugmVZ2rRpk9WRI0cs0tPTRYaGhvJPPvkkc9asWYlERAsXLrT7/fffTdLT00XGxsayNm3aZE2ePDlRT0+PK/0+Q4YMSdq8ebNdTk6OMDAw8NXixYtfYLoP0CacgtWKW3kAAADUDZkKAFA19A0MFAUF+W8NDc3LfcUXi/XfGVw2ZfxYR5lUylyPenxHIpGwq5Yutu7fs5vH6Yg/oxUKBQ39urdH915fpR87fyk6NzeXN2HUMOfZUybZL1qxOmHxyvAE5XEkBgbs8rUb4omI1mzZHqfcbmllLV+7dccLdZ6vttGWPEWRuBY6cuSIiaWlpdTPz6+wa9euL2fMmOE6Y8aMRJFIxJ09e/bu4MGDvZo0aZIzcuTIFIlEwmZkZAiIiDZt2mQ3bty4hICAgOdCoZCLjY3VLX3cu3fv6gUFBXm1a9cuc8qUKfE6Ojrc1atXJXK5nCEiKigo4PXt2ze1bt26hYWFhbxNmzbZBAcHux8/fvyBjo5Oya0OmzdvtgsODk7w8PCI27Bhg82sWbNcGzVqdM/AwKDCK1x5eXm8S5cumWzZsiUmICCgUCQScadPnzbu0qVLdul2Fy5cMOvZs2fqDz/88PDs2bPGGzZscPjrr7+MmjZtmvPTTz893L9/v9ny5cudW7dunWtrayvLz8/nDRkyxKtu3bp5W7dujRGJRNz27dutRowY4Xn8+PEH+vqvrwSmpaWJTp8+bbp8+fJYkUjE6urqvtPXxYsX2x07dsxi7Nix8U2bNs3LyMgQREZGipX79fT02Llz5z6zsbGRxcTE6C1btsxRJBKx06ZNS1K2SUtLE505c8Z01apVTwsKCnjTp093DQsLs1u+fDm+4EFrMHw+6ejX/qu0AAAA6oZMBQCoGt4+dYpZhYKJjorS8a5Tp5iIKDrqgZ67p2dh2baPY6LF4ydPTTS3sFAQEY0KnpC2beM627TUFAERUVpqqmjkuPHpunp6nK6enqLnV19nrlmx3I6ISgrEm3b+8Ly8flS0HVSjLXmKInEtdPToUYuOHTtmEhG1bNkyV0dHhz1x4oRx9+7ds2xsbOQ8Ho/EYjGrnEoiIyODiIh69OiR1r179yzlccoWibdv327t6upaEBYWVlKwLD2NxRdffPFWwTYsLOx5s2bN6t24cUO/efPmecrtffr0Se3UqVMOEVFoaGjiZ599Znbv3j1x6TZlHTlyxMTc3FxWr169QiKiTz75JPPQoUPmZYvEjo6OhVOmTEkiInJzc0v9+eefrQUCATdq1Kg0IqKJEycm79271/ratWuS7t27Zx08eNCEiGjlypXPlXP5LF269EXLli0Dz5w5Y/Tll19mERHJ5XImLCzsmbW1dbkjenNzc3kHDx60Gjt2bPyAAa9XGnV3dy9u0qRJvrLNpEmTkpU/u7i4SJOSklL27NljVbpIzLIsExYW9lw5lUWXLl3ST506ZV7R5wJQG3GsgqQFtf8qLQAAgLohUwEAqobEwIBt2fbj7LBF82zXbN7+4vaN63p/RFwy3nP4eHTZtj51ffMP/bLPrE27T3L1JRJ224Z1Fmbm5jJLq9f1BmsbW+m2jessQqbOSMl99Yp/8Je9Zu4engVVf1agpC15iiJxLfPkyROdqKgoyYoVK2KJiHg8HrVv3/7l4cOHzUsXgMvj5+eX/779T548Ebds2TK7ov1Pnz7VWb16tW10dLT+q1evhCzLEsdxlJiYKCrdzsfHp+RKmq2trYyISDmauVOnTnXT0tJERER169bN27Vr12MioiNHjpgrC99ERD169Mjs2bOnTWJiotDOzk6m3O7q6lpybB6PR0ZGRnI3N7eSbSKRiJNIJIrMzEwBEVFUVJR+amqqTqNGjeqV7qNUKuXFxcWVLI5nZmYmq6hATET08OFDXZlMxrRs2bLCb41Dhw6Z7NmzxzI5OVm3sLCQx7Isw7JvD0i2sLCQlp7r2NLSUpaTkyN852AAtRjD45NIC+Z7AgAAUDdkKgBA1Vm+ZsOLCaOGOTes4xFgaGgon/Htgjj/wHpFEb+dl4waNMDjYXzybSKi+ctWxM+YON6xbeP6vnKZnHF2cytct23nE+Vx1n/3/ZP5M6c57v5umzWfx+fqf/RR7oKwlfHVd2agLXmKInEts3fvXnOWZalTp07+ym0c93qmh7i4OKGjo6OsoteKxWKVJjQfM2aMu7m5uXTGjBkvbGxsZAKBgOvVq1ddmUzGlG4nEAhKpp5Qjt5lWZYhItq4ceNj5fQVyikdoqOjdR8+fCiJjo6W7Nixw075WpZlad++fWYTJ05MKe/YFW1jGKbkM+E4jlxcXAqURfXSTExMSorCOjo6Kn02165d0//2229dBw4cmNSqVat4Y2NjxdmzZ403b95sX7odn89/p69lC8kAtd3rq7S51d0NAACAGg+ZCgBQdcwtLBQ/HjjytOz21u3a5ykLxEREFpaWim0/7nlW0XEafNSo8MjZCzEV7Yeqpy15iiJxLSKTyejMmTNmw4YNS2zXrt1bI35nzJjh+ssvv5iHhoYmV/T6D3F3dy+4deuWQXn7MjIy+ImJibrTpk2La9OmTS4R0a1bt8QKhYIpr31FnJ2dpWW37du3z9zT0zN/3rx5z0tvP3XqlMnJkyfNJ0yYkKIsNv9bPj4+BRcvXjQ1MzOTm5iYvDOh/D/l7e1dJBQKud9//93Qw8Mjvez+GzduSExNTaWlp5zYtWuXqGw7AHiNYf7VVwcAAABUAJkKAACgOm3IUxSJa5EzZ84Y5+bmCvr165dubm7+VsGzXbt2L48ePWoxceLE/1wkHjp0aMqQIUN8Jk+e7NS/f/80XV1d9urVqwZt2rR5ZW9vLzU0NJTv37/f3N7eXpqUlCQMDw93KDsy9t+SSqXMuXPnzAYMGJDs6+tbVHqfqalpxg8//GAbERFh0LZt2/90Sadnz54vf/75Z+ugoCD30aNHJ9rb20sTExNFv/32m3G/fv3SPTw8iv/JcQwNDdnu3bunbt261U4kErFNmzbNy8zM5N+/f19/6NCh6S4uLkUvX74U7du3z7Rhw4Z5ly5dMrp48aLpf+kzQG3H4/FJpG9Y3d0AAACo8ZCpAAAAqtOWPEWRuBY5dOiQuZ+fX27ZAjER0eeff/5y+/btdhcuXPjP/1cHBgYWrlu37tHatWvtBg8e7CMUClkPD4+CTz75JIfP59PChQtjw8LCHHv37l3X2tq6OCQkJH769OluqpzTqVOnjF69eiXo3LnzO/Mp29raynx8fPIOHDhg/l+LxPr6+uyuXbuily9fbj99+nS3goICvqmpqSwgICC39NzA/8SMGTMSDQ0NFTt37rRdsWKF0NjYWN6hQ4dMIqJOnTrl3Lp1K2Xt2rUOxcXFvPr1678aMmRIUnh4uON/6TdAbcaxLMkKKlzHEgAAAP4hZCoAAIDqtCVPGeXcrJokMjLyRnX3AQBqD19f34YV7XualoXvm3/AzdKkws+wsgXU8eZO/ry1Uo9pX6/1TY7jquwcNAkyFQCqw/uyl4jofkKa1n43+dlbIlNrIOQpwPt96Hv/eUYOfoeg0jmbG1VJHqkjT4k0L1MxkhgAADQKxylIVlj7r9ICAACoGzIVAABAddqSpygSAwCAxtGGRQEAAACqAjIVAABAddqQpygSg8ZYuHChnZmZmSwoKChN1WMVFBQwY8eOdYuMjJTUr1//VdeuXTOPHz9utnHjxtjK6CsAqA/D45NIbFDd3QAAAKjxkKkAAACq05Y8RZEYNEJaWprg3LlzZqdOnbpPRBQREWEwbtw4T5FIxDIMQ6amprIBAwYk9+/fP/OfHO/IkSMm2dnZwitXrtwRCoVERLR+/Xr7e/fu6fn7+xeq8VQAQEUcy5KsML+6uwEAAFDjIVMBAABUpy15iiIxaIR9+/aZNWrUKEcsFpespGhiYiKLiIi4x7IsnT171mjq1KnuH330UZ6Xl1fxh46XlJSkY29vX6QsEBMRtW/fPnPv3r0W/v7+cWo6DQCoBAyPR0J9SXV3AwAAoMZDpgIAAKhOW/IURWLQCH/99ZdR165dM8rbx+Px6NNPP81ZsGCB/MGDB2JlkTg6Olp34cKFDk+ePNE3MjKSjxw5MvHLL7/MWrZsme2ePXusiYgaNmxoHBwcHD9w4MCMJk2a5M6ePdu1Ks8LAP49bblKCwAAoG7IVAAAANVpS56iSAwa4cWLF3pubm5F5e1TKBR0+vRpo9zcXIGLi0sREVFeXh5v1KhRnsOGDUvs06fP48jISL0xY8Z4ent7F06dOjWJYRhKSEjQWbt27TPlcby8vIrS0tJEOTk5PCMjI7aqzg0A/iVGOxYFAAAAUDtkKgAAgOq0JE9RJAaNkJ+fzzcwMHircJuVlSVs3LhxoFQq5SkUCiYoKCi+Xr16hUREZ86cMbKysipWzlFcr169whYtWmSfOHHCpE6dOsnlvYfy+NnZ2QIjIyOpus8JAP4bhuGTUK/2LwoAAACgbshUAAAA1WlLnqJIDBpBX19fkZubyyu9TTkncVFREbN48WL7GzduGBJRGhFRYmKiKCYmRr9x48aByvYKhYJp3759hQvbKY9vbGwsV9NpAEAl4DgFyYvyqrsbAAAANR4yFQAAQHXakqcoEoNGcHFxKYyNjdX96KOPCsru09XV5WbOnJnQqVMn32PHjhl36dIl28bGRubr65v7448/Pv6n7xETE6NraWkpxVQTAJqN4fFJoFf7FwUAAABQN2QqAACA6rQlT1EkBo3QrFmznBs3bhj06dPnZXn7dXR0uK+++ipl+/btNl26dMnu2LFj9saNG+327Nlj2qNHjywiort37+pJJBLWx8en3LmNr127ZtCoUaMcdZ4HAKiOY1mSF71zvQgAAAD+JWQqAACA6rQlT3kfbgKgfr169cr8+++/jQoKCiqcCfzrr7/OTE9PF508edLI0NCQ3bx586OzZ8+atm3b1r9169YBq1evti8uLq7w9efPnzf96quv0tVzBgBQWRh6vShAZT4AAAC0ETIVAABAderIU03MVIwkBo1gYWEh79ChQ+auXbssgoKC0lq3bp0bERFxr3QbfX199s8//7yrfO7l5VW8c+fOJ+Udb8qUKUmln588edLI0dGxKCAgoFA9ZwAAlYbH04pbeQAAANQOmQoAAKA6LclTFIlBY8ycOTNRXcfu1KlTTqdOnTDVBEBNwLIkL8qv7l4AAADUfMhUAAAA1WlJnqJIDAAAGoXh8UmoW/uv0gIAAKgbMhUAAEB12pKnKBIDAIBG4TiW5MW1f1EAAAAAdUOmAgAAqE5b8hRFYgAA0DgMD+uqAgAAVAZkKgAAgOq0IU9RJAYAAI3C8Hgk1NWv7m4AAADUeMhUAAAA1WlLnqJIDAAAGoVjq/5WHoZhdhDR50SUxnGcbzn7+xHRVCJiiCiXiII4jrv7Zt/zN9sURCTnOK5hVfUbAADgfZCpAAAAqquOPCWq+kxFkRgAADQKw+ORoOqv0n5PROuJaHcF+58RUWuO47IYhvmMiLYSUeNS+9tyHJeh3i4CAAD8O8hUAAAA1VVTnhJVcaaiSAwAABqFY1mSF1XtVVqO4y4zDOP8nv1/lnp6lYjs1d0nAAAAVSFTAQAAVFcdeUpU9ZmKIjEAAGgYhhhGoxcFGEpEp0o954joLMMwHBFt4Thua/V0CwAAoCxkKgAAgOo0Pk+JKiFTUSQGAK3mZmmCue40zOtbecSVfVhzhmFulHq+9b/84ckwTFt6Hb4tSm1uwXFcIsMwlkR0jmGYaI7jLqvYXwAAAJUhUwEAAFSnpjwl0rBMRZEYAAA0CsexJC8urOzDZqi6+A3DMP5EtJ2IPuM4LlO5neO4xDf/TWMY5hARNSIi/EELAADVDpkKAACgOjXlKZGGZSqKxAAAoFEYptoWBagQwzCORHSQiAZwHPeo1HZ9IuJxHJf75ucORDS/mroJAADwFmQqAACA6jQxT4kqP1NRJAYAAM3CsaRQz1XaCjEMs4eI2tDr230SiGguEQmJiDiO20xEc4jIjIg2MgxDRCR/c8XXiogOvdkmIKKfOY47XaWdBwAAqAgyFQAAQHXVkKdEVZ+pKBIDAICGYYheh1mV4Tiu7wf2DyOiYeVsjyWiAHX1CwAAQDXIVAAAANVVfZ4SVX2mokgMAACahceQQFevunsBAABQ8yFTAQAAVKcleYoiMQAAaBaWI0VxUXX3AgAAoOZDpgIAAKhOS/IURWIA0GpP07JuVHcfagI3SxOVVlz9NxgejwQ64qp6OwAAgFoLmQoAAKA6bclTFIkBAECjcCxLCmntv0oLAACgbshUAAAA1WlLnqJIDAAAmoWhalkUAAAAoNZBpgIAAKhOS/IURWIAANAoDMPTikUBAAAA1A2ZCgAAoDptyVMUiQEAQKNwHEcKaXF1dwMAAKDGQ6YCAACoTlvyFEViAADQKAzDI75O7b9KCwAAoG7IVAAAANVpS56iSAwAABqF41ituEoLAACgbshUAAAA1WlLnqJIDAAAGkcL1gQAAACoEshUAAAA1WlDnqJIDAAAGoXh8Ugg0q3ubgAAANR4yFQAAADVaUueokgMAACaheNIIZNWdy8AAABqPmQqAACA6rQkT1EkBgAAzcIwxNeCq7QAAABqh0wFAABQnZbkKYrEAACgWTiOFLLavygAAACA2iFTAQAAVKcleYoiMQAAaBxGG1YFAAAAqALIVAAAANVpQ56iSAwAABqFYXhacSsPAACAuiFTAQAAVKcteYoiMQAAaBSOY7ViUQAAAAB1Q6YCAACoTlvyFEViAADQKAzDI4FIp7q7AQAAUOMhUwEAAFSnLXmKIjEAAGgUjjhSyGv/VVoAAAB1Q6YCAACoTlvyFEViAADQONqwKAAAAEBVQKYCAACoThvyFEViAADQKAzDEE9Y+xcFAAAAUDdkKgAAgOq0JU9RJAYAAI3CcRyxWnArDwAAgLohUwEAAFSnLXmKIjEAAGgUhuERX1j7FwUAAABQN2QqAACA6rQlT1EkBgAAzcJxxMpl1d0LAACAmg+ZCgAAoDotyVNedXcAAACILp47Y+BuZdogLTUVF+/o9ZxPlfkAAADQVshUAAAA1VV2nmpipqIYAQBQieJfvBCuXLzA9q8/fjfKyc4SGBoby5s2b5kzacbsJEdnZxkR0Zcd23m5engWrli/Ka66+6uRGEYrbuUBAABQO2QqAACA6rQkT1EkBgCoJE8fPxJ91bWTt7WtnXTRytXP3D29i2OfPNJZvWyJXY/P2vvsO3Yq2tXdo0pnuy8uLmZ0dHS4qnxP1XHEKmr/rTwAAADqh0wFAABQnXbkKYrEAACVZNbkiY4Mj0d7j5x4pC+RsEREzq6u0sbNWjxq27i+76zQiY4mpibye3duS+7duS05/Os+CyKis1eu3Vce497tm3qrly62exb7VM/J2aVoQdiqFw0bNylQ7v8j4pL+ysUL7GMeRoklBgaKFq3bZM9dvCzByNiEJXo9StnZza1QT0/Mnjp2xMzKxkZ6KuLPh1X9WaiEYYgnEFZ3LwAAAGo+ZCoAAIDqtCRPMScxAEAlyEhP59+4+pdRz6/6pSkLxEr6Egnbo8/Xadev/mkUOnNOko+vX/6nXbpmXr517+7lW/fuOjq7lIwuXrVkkf2kGbMS9588+9DQyEg+eWyQC8u+PtzdWzf1Rg382rN1u/bZh878FrVmy3dPH0VHiyeMGu5c+v3OnjxhxnEc/XjwaMyK9ZufVcX5VyqOI1Yhr9QHAACAVkKmAgAAqE4NeaqJmYqRxAAAleBxTLQux3Hk4eVVVN5+T2/vIo7jKDUlRSAUCDhdXT3W1s7+nVQInjw18eMOn+YSEY2dNDlpcJ+e3glxcUJHZ2fZ5rXhVm0/6fhywpTpqW+aF89ftuJF788/rZOSnCSwtrGVExFZ29gWL161JkFtJ6t2DDG4hgkAAFAJkKkAAACq0448RZEYAECD+AXWK1T+bGtnLyMiSktNETo6O8tiHj7QT0pM1PF1sjVVtlFONvz08WMdZZHYq06dAqrBGC25lQcAAEDdkKkAAACq05Y8RZEYAKASuHt6FTEMQ4+io3XL2/8oOlqXYRhy9/Qqft9xhEJRySJzDMMQEZFyugmO5ejzbt0zRowbn1r2dfYOjiVTVujpidmy+2sS7s2tPAAAAKAaZCoAAIDqtCVPUSQGAKgEFpaWioaNm7w6sO9ny7ETQ9+alzg/L493YO9Plh81aZZjbmGhEAiFLMsq/vV7ePr4FMQ+eazn6e3z3kJzTactV2kBAADUDZkKAACgOm3J09o/oQYAQBWZv3xlHCtXMF916+z525lTBi+ePRNePHfGoG+3zp4cx9GCsJVxRES2dvbSqPv39WOfPBalpaYKFIp/VjAOGj8xJfphlDgkaLjjzb+v6T2Kfqhz7NABowmjhjup9cSqGMdxxCnklfoAAADQRshUAAAA1akjTzUxU1EkBgCoJB5e3sUHTp+PcnVzL5w+cbxLh+aN/KaOH+vi7OpWeODU+YduHp5SIqJR40NSBEIh9/nHreo28/cJePEsVvRPjh/YoGHh9/sOxCQnJuoM6tPDu3vHdnXCly2xMzM3l6n3zKoWwzDEMLxKfQBA5fj444/91q9fb1Xd/QCoDl9/3tFr5oSxjtXdj38DmQoAAKA6deSpJmYqppsAAKhETi4usjVbv3vxvjbedeoWH79wObr0Nld3D+mT1Jc3P7StUdNmBXuPnnxc0bEPnvkt5r/0W6MwRIwA8QRQGUJCQpzPnz9v1qFDh4yVK1e+9d20YMECu19++cX6o48+ytmxY8eT6uojQFkhI4Y4/3bqhFnZ7bsPH48KbPBRYXmvgQogU6EahYeHW0dERJgkJibqCoVC1svLK3/ixIkJvr6+Rco2ypwq/TpPT8/8AwcORL97xP+msLCQ6d27t8/z58/1du7c+bBhw4Ylizz7+fk1KNs+JCQkbsiQIemV9f4AUAtoSZ7W/jMEAICahSPi/uEUHADwYebm5tLLly+b5uXlxUvezJcuk8no7NmzZubm5tIPvR6gOgQ0aPhq+Yatz0pvM7e01Lz7MjUdMhWq0a1btwx69OiRFhgYmM9xHLN27VrboKAgr8OHD0eamZmV/I8ZEBDwKiwsrOT3XST6/0LOlWHBggUO5ubm0ufPn+uVtz80NPRFhw4dspXPjYyM8EsDAG/TkjxFkRgAADSLliwKAFBVXFxcCjMzM4WHDx826d+/fyYR0ZkzZ4xFIhHn5+eX++rVKwER0fXr18Vr1661e/r0qVgul/OcnZ0LJk6cmNCkSZP8io6dnZ3NX7Rokf2ff/5pLJVKeW5ubgWhoaHxpUdpAfwXQpGIs7Gze6cozLIsbVixzOro/l8sXmZmiGxs7YoGDB+Z0mfg4JdERM+fPhF1bdPcb87SFbEHfv7R8lF0lL69o2PRglVrn/F4PG7elFDn50+f6Ll6eBQsXbfpmYu7h5SI6OmjGJ2lc2baR0dFSooKCnl2Dg5FIydMSvqsW/ecivpYXFzMLP92tu1vp0+Y5eXm8h2dXYqCJk5O/KTT56/U98n8S8hUqEa7d+9+6+63VatWPWvevHm9a9euSTp16lTyuyUSiTgbGxu1XAQ6fvy48Z07dwxWrlz5tHfv3kbltTE0NFSo6/0BoJbQkjzVvAkwAABAu2GRHYBK9/nnn2ccO3bMXPn88OHDZp999lkGwzAlbfLy8vidOnXK/O6772J279790N3dvXDChAkeGRkZ/PKOybIsjRgxwj0jI0O4evXqx3v27IkKDAzMHT16tFdSUlLt/1c0VItlc2fanTh0wGLy3Plx+89ciBw4MihlxfxvnU4fPfxW8Wf7+jV2g0aNTvnp6KkofYmBfPq40a6LZ013HDt5auL3B488lEqlvIUzppbML5yXl8tr2rrNq427f36058SZqNafdMiaMWGsW/SDSN2K+jI5aLjz3ZvXDRasWhv7y6nzDz7r1j1jypiR7ndv3Sh3tGK1QKaCBsnNzeVzHPfOSN0HDx5ImjdvHtChQwffyZMnO6WmplbKYLb4+Hjh8uXLHZcsWRKrq6vLVtQuPDzcoVmzZgHdu3f32bFjh8U/XVQaALSIlixch5HEAABVICM9nT9p9EjnG39fNTQ0MpKPmzQl8etvXo96Kq2oqJCZHhLs8PuFCyZyhZzx9Q/IW7J63QsHJ6eSxen2/rDLZMvacNu0tFSRiampbNHK8OetP26fV7VnpF6cBk7iD1CT9ejR4+WmTZscHj9+rCORSBQ3b940mj17dnx4eLitsk3btm2ZR7dDAAAgAElEQVRzS79m4cKFca1btzY+f/680VdfffXO91VERIRBbGys+PLly3fEYjFHRDRt2rSkK1euGO/fv980ODg4Vf1nBrXVrWtXjT7ycKqnfF7XPzBv/fc/Pt3/849Wa77b9ahFm4/ziIhc3D1eRt6+rb9v9/cWn3b9omRkYp9vBqd07NIth4howLCRqVPHjnIfMX5iYuv2HXKJiHr2G5AWvmRhSZE4oH7DwoD6DUvmOw6ZMSflyqWLxicPHzDxruubXLZ/Tx/F6EScP2t6LOLP+44urlIiIlcPz/S///zDcO/3OywC6jeMU8fn8l8gU0FTLFiwwMHFxaWwcePGJf9ubd68eU779u2zHB0dpfHx8aJNmzbZDR482OvgwYNRurq6/3naCblcTpMnT3bt06dPakBAQOGzZ8/KXSh60KBBSU2aNMnV19dXXLlyxXDjxo32WVlZgkmTJr3zew8A2k0b8hRFYgCAKjA9ZJyjQCjkrt6Pvnv75nXx2KGD3P0CAgv8AusVlW63cfVKy8i7dyXHLl5+YGxsopg4eqTT7Mkhjt//cvApEdHZk8cN14QttV+5YUts42bN85MSEmrdaD2O4ZGCr1Pd3QCoVUxNTRXNmjXL2rdvn7mBgYHCz88v18nJ6a35iFNTUwUrV660u3PnjkF2draAZVlGKpXykpOTy/3DOjIyUiyVSnmtWrUKLL1dJpPxEhISKhx9CfBP1A0IzJ0XtrpksUVdPT02OvK+rkwqZUKGDfag/w+CJ4VcwVhaW7/1/7NPXb+Sgq+FpZWMiKiOn3/JNnNLK1lxUREvPy+Ppy+RsHm5ubzVi+bb/vV7hFHWy0yhXC5nZFIpz9XDs9yF8u7duinmOI56dGhbt/R2uUzG+NdvkFvea6oDMhU0xdy5c+0fPHgg2blzZ7Sg1OJPPXv2zFL+7OfnVxgQEFDQuXNnvzNnzhh169Ytu+xxXrx4IerRo0fJ712/fv2SQ0JCUsq2W7NmjY1AIGCDgoLee8GydDE4MDCwUKFQ0I8//miDIjEAlKYteYoiMQCAmuXl5vJ+v3jB5PC5iw8MDA3ZVm3b5TVr2Trn1z0/mfkF1kss3TYhPk6nSfMWr2xsX8/D2PmL7llhC+c5KPevWxlmO3zMuORmLVvlExGVHmFcm7BshXcEAsB/9OWXX2bMmzfPRVdXlx0xYkRi2f1Tpkxxyc7OFoSEhMQ7OjoW6+jocMOHD/eUyWTlDptgWZYxMjKS7dy5M6bsPgMDA9yrCyrR0dVl3b28i0tvS4qPFxERhW3a+sTe8e2LHEKhkKvouXJalfK2KfNm4Yyp9jf+umI0bsr0eBcPj2KxWJ+dHjzGRSaTMVQOlmWJYRjafej4w7Lvraunp1EhhkyF6jZnzhyHixcvmmzbtu2Rm5vbexdMtbOzk5mZmcmeP39e7sVGW1tb6d69e6OUz01MTMq9X/vGjRuGDx48kNSrV69B6e1Dhw71adWq1ct169Y9K+91gYGB+du2beOnpKQIrK2tNe9ecACoNtqQpygSAwCoWczDKB0en89516lb8seuV506BTevXTUo2/arAYMyFs6a7pgQHyc0MTFVHD3wq2nTFq1yiF7fNvc4+qH4ZUaGoGU9P1+pVMpr2fbj7PnLVsSL9fUrdRXo6sbj1f5beQCqWps2bXIXLVrEvXr1StC5c+d3RmdFRUVJxo8fH/fZZ5/lEBGlpKQIsrKyKrxbwdfXt+C7774TMgzDfeiPfoDK4O3rVygUCrmEuBeiNp90rNTRupF3bkk6fN41s1vvr7KJiAoLC5iUpAQdeyenovLa+9WrX8BxHKWlJAuVU1hoKmQqVKdZs2Y5REREmG7dujXG29u73N+n0tLT0wWZmZlCS0vLcgdCCIVCcnd3Ly5vX2mLFi16VlBQUPI/f0pKiigkJMRjzpw5sY0aNapwmraoqCixUCjkjI2NcbETAN6iDXmKIjEAgJrl5eXyxWL9ty47GhoaKgry899ZDMrT27vY0tpG2qZhoD+PxyNnV7fCxavWxhARpSQnCeVyOfPbmdMme4+djBEKRdywr3u7hy2cZzt3yfJ3RgXWZNpwlRagqvF4PDp06NADjuOovHkebW1ti06dOmVWv379/Pz8fN7q1avtBQJBhReg2rZt+8rHxycvODjYPTg4OMHDw6MoLS1NGBERYdS8efNXLVq0qFVzpUP1MzQyYnv2H5iyceVyB+KImrRslZeXl8u79fc1CY/hcYNGjc74r8e2d3Qq/v3CeeP2nT/PFgqF3IYVy22k0vJHERMRefrUKW7ToePLeVNDnYOnTE/wr98gPyszU/DXH5cNHJyci7v16vPOhZjqgkyF6jJ9+nTH3377zWzZsmVPjI2N5cnJyQIiIolEwhoYGLC5ubm8lStX2n766adZVlZWsri4OJ1169bZGRkZyTt37pz1oeO/j6ur61sXL/X1X/9b3MnJqdjBwUFGRHTy5Emj9PR0YYMGDfL09PS4P/74w2DHjh22nTp1SldlPmQAqJ20IU9RJAYAUDOJxEBRUJD/1mXH3Nxcvlhf/50RClPHj3OUSaXM1ciYOxIDCRu+bIn1N726e5y49Ee0np6YJSLqO3BQmp3963/cfjN8ZMqWdWtsiahWFYmr+iotwzA7iOhzIkrjOM63nP0MEa0hok5EVEBEgziOu/Vm3zdENOtN04Ucx+2qml4D/HuGhoYV/ut2/vz5z+fNm+fUv3//OqamptKhQ4cm/fDDDxWOJObxeLRt27bHy5cvt1u8eLFzTk6OwNjYWF63bt28nj17ZqrnDEDbTf12YZKZuYX8553brVctmq+jpy9WuLp7FAwaNUalhRKnL1gcPzMk2Hlk395e+gYSRc9+A1Ol0uL3htGKTdufr1my0Gb9imX2mRnpQomBgcLLp25+s5atNWpkMTIVqsvx48ctiIiCg4M9S28fMGBA8pQpU5L4fD4XGxurN2nSJLP8/Hy+iYmJLDAwMHfVqlVP35dXlUUgEHAHDhywXL9+vQPHcWRlZVU8ZMiQpKFDh6ap+70BoOapjpHEVZ2pDMdp3gWyyMjIG9XdBwCoPXx9fRtWtO9pWpbav2/ycnN5Db3dAo+cv/TAy6dOMRFR0KABzhZWVrL5y1a8Vdxt16RB3eDQqYndevbOJiLKepnJ/8jHI/DPew/vWlpZyZv4evmPCQlNHDB0eCYR0cF9e4w3rw23PXvlWtS771x53CxNKvwMK1v9+vW5iIiISj2moaHhTY7jKjwHhmFaEVEeEe2uIHw7EdE4eh2+jYloDcdxjRmGMSWiG0TUkIg4IrpJRA04jlNp9EtlQqYCQHV4X/YSEd1PSNPa7yY/e0tkag3MVOQpwPt96Hv/eUYOfoeg0jmbG1VJpqojT4k0L1Nr/4QaAADVTGJgwLZo83H2ikXzbfNyc3m/X7qgf+XyJeNeffu9M9LOu65v/qFf95llZ73kS6VSZtuG9Ram5uYySyurNwvZfZnx8+6dlinJSYLMjAz+ru1brVq2aasxt7TWVBzHXSail+9p0o1eBzPHcdxVIjJmGMaGiDoS0TmO416+CdxzRPSp+nsMAACgmZCpAAAAlaOqMxXTTQAAVIGl4eteTAwa4dzY1yvA0NBQPm3u/Di/wHpFERfOS8YMHugR+SLpNhHRt0vC4meFTnBs16Shr1wmZ5xdXQvXbt3xRHmcqXPmJU+fME7QsXkTX6FIxH3coePL0JlzkqvvzNRDAxcFsCOi+FLPE95sq2g7AACARkCmAoAmqKoRnwDqooF5SlTJmYoiMQBAFTC3sFDs3n/oadntrT9un6csEBMRWVhaKrbs/vlZRccRiUTcyo1b4ogoTk1d1QhqWBTAnGGY0re4beU4bmtlvwmAJlu4cKGdmZmZLCgoSOW5FgsKCpixY8e6RUZGSurXr/+qa9eumcePHzfbuHFjbGX0FQAqDzIVagJkFABoOjUtXKdRmYoiMQAAaBw1XKXNeN9cT/9AIhE5lHpu/2ZbIhG1KbP9kgrvA6AWaWlpgnPnzpmdOnXqPhFRRESEwbhx4zxFIhHLMAyZmprKBgwYkNy/f/9/tODckSNHTLKzs4VXrly5IxS+Xttu/fr19vfu3dPz9/cvVOOpgJbLzEjnTw8e7Xz7778NDYyM5KNCJiX27v/NO7dhFhUVMd9ODnG4cumCiVyuYOr4+efNW7H6hb2jk4yIaNu6cIuThw+av4iN1Wv9SYeXq7fueF72GCEjhjj/m+2aCpkKmg4ZBQA1gZpGEmtUpmrkWGkAANBuLMtW6qMSHCWigcxrTYgoh+O4ZCI6Q0QdGIYxYRjGhIg6vNkGoFH27dtn1qhRoxyxWFyyYrGJiYnsxo0bt69du3Y7JCQkPiwszDkmJkbnnxwvKSlJx97evkj5xzcRUfv27TP37t1roYbuA5SYGxriKBQKuQu37t9dsHLNs5UL5jk+uHdHt2y7bWtXWz64d1fy65mLDy7cunfXwNBQvmDaZEflfktrG9mQ0eOSO3zeNaP061iWpWnjghxfxD4VERGlp6UKpowZ6ZSfl8ebOnaUU0Z6Gp+I6EXsU9HUsaOc1DSqqFIhU0HTIaMAoCao7DzVxExFkRgAALQewzB7iOgvIvJiGCaBYZihDMOMYhhm1JsmJ4koloieENE2IhpNRMRx3EsiWkBE19885r/ZBqBR/vrrL6MGDRrklrePx+PRp59+miORSOQPHjwQK7dHR0fr9u/f36NJkyaBHTt29D148KAJEdGyZctsf/jhB5vLl//H3n3HR1Xlbxx/zkwKCWmQEHpQeu8qay8oLCpWFFDXuir2joqiIh177yK6ir1jXbAsVhRFBKlSEpBQEkjPZOb8/pjE3xCpTiZzk/t57ysvcu89c+fcGOZZvufec75o1L9//z4zZszIkKQBAwYUfPvtt6m1c0Vwo8KCAs/cz+c0uvLGW3KSU1ICBx1+ROGAgw/Z+ubMl9Krt81ZuzZ+/38ctK1ZixYVCQmJdvDQE/NW/74yoer4CcNOzz/+lGH5qY3SKkJf5/F4NOrq6/64b/KEFgt/mp9023VXZZ15wYW5DZOSAmf9+6INt113VZuFP81Pum/S+BYXX3XteofOTxhVZCr2FhkFADtW25nKdBMAAMep7X90W2tH7Oa4lXTpTo49I+mZSPQLqCmrV69OaNeuXemOjvn9fn344YepBQUFMfvuu2+pJBUWFnouvvjijhdccEHO6aefvmzhwoUJl156acfOnTuXjB49ep0xRtnZ2fEPPPDAn3Ood+rUqTQ3Nzdu69atntTUVOffXok6Z9mSxfFer9d27NK1rGpfhy5di+d/921y9bbDzjhr05Tbb8nKWbs2Nq1RI//7b77eeP8DD966p+9ljJG11hhj5PF4bOgxa60xHo9TF7D5CzIVTkdGAagLopH7tZ2pFIkBAI5TFx7fBeqSoqIib3Jy8nZ/sfLy8mIPOOCA3uXl5R6/329GjRq1tk+fPiWS9NFHH6U2bdq0rGr+xz59+pQcfPDB+e+//36jrl27rt/Re1SdPz8/PyY1NbU80tcE9ykqLPQmJCZu93ucnJziLyku8lZv265T57ImTZuV//PA/j09Ho/atG1bcvu0e5bs7j0CgYAevfeuZleOvnndfZMntLh5/KTsaXeMbXnblLvXznjisaZ33HXf6gljbmx95eib1z16713NJt7/8BqnF4vJVDgdGQWgLnBDnlIkBgA4jtP/wQ3UNQ0bNvQXFBRs9xerUaNGvs8//3xBaWmpmThxYqt58+alSMqVpJycnLglS5Y0POCAA3pXtff7/WbgwIE7XTSo6vxpads/vg/UlIZJSf6S4uLtfo8LCwu8CYkN/dXbjr3uyiyfr9zMmb/wp4ZJyYGH75rS7MIRwzq8/slnv+3qPTwejyY/+Oiaqu0mmU0rpj78+GpJqvpTktq0bVce2s7JyFQ4HRkFoC5wQ55SJAYAOI4bRmmB2rTvvvuWrFy5ssF+++1XXP1YgwYN7JgxY7KHDBnS/d133007/vjj85s3b+7r3r17wQsvvLBsT99jyZIlDTIzM8t5jBeR0qFTlzK/32+W/bY4vkPnLmWStGzxooR923coqd52xdKliaOuvi4nPaOJX5LOu+Ty3Ocef6TFxtwNMU0ym+5RkejeJ55ZtTf7nYpMhdORUe5Qvm3zvGj3AfVPXEp6/9p6Lzfkaf0vgwMA6hQryRpTo1+A2x144IFb582b95d5W6vEx8fb4cOH//HUU081l6RBgwbl5+TkNHjppZcal5eXm/LycvP9998nLl68uMHOzvHtt98m77///ns85yuwt5KSkwMHHnp4/v2TJ7QoLCjwfPX5Zw2//vKLtJOGj/jL3YOdunYreu/1V9Pz8/K85eXl5rnHHm7SOD3DV1Ug9vl8KikpNgF/wAT8flNSUmx8Pl/tX1SEkamoC8goAE4XiTx1YqZSJAYAOIsxsjGxNfoFuN2wYcM2f/fdd6nFxcU7/X+jI0eO3Lxx48a4WbNmpaakpAQee+yxpR9//HHjI444oudhhx3W6957721VVla209d/+umnjYcPH74xMlcABI27+77VZWWlniP6dO91y9WXt7321tvWdOvZu/R/n81O2q9Dmz5V7W4eP2ltXHx84LhDBnQ/tGfnXl9/+XnqtEeeWF51/L6Jd7Y4oOO+fV+e8WyzOR9/2PiAjvv2vW/inS2ic1URRKaiDiCjADheBPLUiZlqggvhOcvChQt5DAFAjenevftOH0FZkZvH580eaJfZqNYe4+ndt5+d/b+5NXrO9IYJP1hra+0anIRMRZUJEya0bNy4sW/UqFG5NX3uWbNmpb777rvpjz766MqaPjfqpl1lryT9kp3r2s+mHq0yydQ6iDyNLDKq7tvd5z7TTSASamu6iUjkqeS8TGVOYgCAoxhJHgc+egPUdWPGjMmJ1LmHDBmydciQITzGCzgMmYq6gowC4GRuyVOKxAAAR7GS/AHnPeUCAEBdQ6YCABA+t+QpRWIAgMNYBRw4FRIAAHUPmQoAQPjckacUiQEADmPkdcGjPAAARB6ZCgBA+NyRpxSJAQAOY1URCES7EwAA1ANkKgAA4XNHnlIkBgA4jhtGaQEAqA1kKgAA4XNDnlIkBgA4irVyxSgtAACRRqYCABA+t+QpRWIAgOO4YOFYAABqBZkKAED43JCnFIkBAI5ijBTjqf+P8gAAEGlkKgAA4XNLnlIkBgA4irWSz1//H+UBACDSyFQAAMLnljylSAwAcBQjd4zSAgAQaWQqAADhc0ueUiQGADiKlTtGaQEAiDQyFQCA8LklTykSAwAcxVora12wKgAAABFGpgIAED635ClFYgCAoxhjFOPxRLsbAADUeWQqAADhc0ueUiQG4GrtMhv1j3YfsD1rrcpd8CgPAACRRqYCABA+t+QpRWIAgKMYYxTjrf+jtAAARBqZCgBA+NySpxSJAQCOYq1VeYU/2t0AAKDOI1MBAAifW/KUIjEAwFGs5IpFAQAAiDQyFQCA8LklTykSAwAcxUiKdcGjPAAARBqZCgBA+NySpxSJAQCOYiVXPMoDAECkkakAAITPLXlKkRgA4ChuGaUFACDSyFQAAMLnljylSAwAcBS3LAoAAECkkakAAITPLXlKkRiAq21esWBetPtQF6S369m/Nt8v4IJFAQAAqA1kKgAA4XNDnjqySNy9e/daLUYAAJzDGKPYGG+0uwEAQJ1HpgIAED635Kkji8QAAPcKWKtyX/1/lAcAgEgjUwEACJ9b8pQiMQDAUTzGKM4Fo7QAAEQamQoAQPjckqcUiQEAjhKwVmW+imh3AwCAOo9MBQAgfG7JU4rEAADHccOiAAAA1AYyFQCA8LkhTykSAwAcxUiueJQHAIBII1MBAAifW/KUIjEAwFGspLKK+v8oDwAAkUamAgAQPrfkqSOLxBsLS+ZFuw8A6o8mSQn9o90H7LngKK0j4wkAgDqFTAUAIHxuydP6f4UAgDolYKVSFywKAABApJGpAACEzy15SpEYAOAwVtYFiwIAABB5ZCoAAOFzR55SJAYAOIoxxhWLAgAAEGlkKgAA4XNLnlIkBgA4irXWFY/yAAAQaWQqAADhc0ueUiQGADiKMUbxLlgUAACASCNTAQAIn1vytP5fIQCgTglYq1KfL9rdAACgziNTAQAIn1vylCIxAMBxAvV/TQAAAGoFmQoAQPjckKcUiQEAjuKRUQMXPMoDAECkkakAAITPLXla/68QAFCnBKxVSRQe5THGDJZ0vySvpKestZOrHb9X0hGVm4mSMq21aZXH/JJ+qTy2xlo7tHZ6DQDAzpGpAACEL1p5KtVuplIkBgA4ijFGDWJrN56MMV5JD0s6WlK2pO+NMe9YaxdVtbHWXh3S/nJJfUJOUWKt7V1b/QUAYE+QqQAAhC8aeVr5vrWaqRSJAQCOYqMzSru/pOXW2pWSZIyZKekESYt20n6EpNtqqW8AAPwtZCoAAOGLUp5KtZypnr/7QgAAIsHKytqa/doDLSWtDdnOrtz3F8aYNpL2lTQ7ZHcDY8w8Y8w3xpgT/+61AwBQk8hUAADCF4k8dWKmcicxADjEOZdes09e/taYt//z9PJo9yWaPJF5lCfDGDMvZPsJa+0Tf/NcwyW9Zq31h+xrY63NMca0lTTbGPOLtXbF3+4tAAA1gEwFACB8EcpTyWGZSpEYAGrYN/PmJw4deW6Xbp07Fc155+Xf9vR190wYu3YPRxPrtYC1KimvqOnTbrLW9t/F8RxJrUO2W1Xu25Hhki4N3WGtzan8c6Ux5jMF54HiH7QAgKgiUwEACF+E8lRyWKZSJAaAGvbcS69mDDvhuNz3Pvo0fcGvixv07NaldE9e1zgtzb/7VvVfBEdpd+V7SR2MMfsqGLrDJY2s3sgY01lSI0lfh+xrJKnYWltmjMmQdJCkqbXSawAAdoFMBQAgfFHKU6mWM5UiMQDUoKLiYjPr0zmN35zxxJKS0lLPsy++mnHvhLHZVcfHTrq7+evvzMrYkpcfm5TU0P+P/fptnfHovaukv0438c4Hn6Tc/9jTzVesWpNgjNS1U4eiSWNvXFtVdF6+clXcgGNO6PHglHErZsx8vcmCXxcnNWuaWT7upmvWHnvMUdui8gOoAQFrVRyZUdqdstZWGGMuk/SRJK+kZ6y1vxpjxkmaZ619p7LpcEkz7fa3fHeR9LgxJqDgXP+TQ1ebBQAgWshUAADCF408lWo/UykSA0ANmvnGO42aZTYp79urR8nwk4duueS6MW2n3HZjTlxcnH3p9bfTpr/4arP7J92+slf3riV/5G6M+Xbe/IY7O1dRcbHngn+N2NCre9eSkpISz9QHH29+1sVXtf/u03d+jY+P//PDf9qDj7Ucc83l2V06dVgz5f5Hml8+emzbQ/6x/4KU5ORA7Vx1zYvGtBvW2lmSZlXbN7ba9u07eN1XknpEtHMAAPxNZCoAAOGL1tSQtZmpFIkBoAbNfOOdJicOGbRZkgYednBBg/j4wGvvzEobeeqJeWuy18WnN27kO/aYI7fFxcXZtvtklR+4f7/inZ1rxCkn5IduP3X/lFXt+h7cZ+638xoeeehBhVX7zz3j9A2nDB2yVZLG3XRdTr8jhqTPm78gMbRNXWKMUUJ0HuUBAKBeIVMBAAifW/K0/l8hANSSxUuXx/+8cHHS0w/ctVKSPB6Pjht01JYXX387Y+SpJ+adduJxW2bMfC2z1yGDevxj/35bjzr0oG0nH//P/IQGDXY4JPnbshXxd067v8Uvi35rmL91W2zABhQIWK3JXhcX2q5n184lVd+3btncJ0m5mzbX2c/3QMCquNwX7W4AAFDnkakAAITPLXlaZ4sIAOA0z7zwckYgEFD/I4/t+f97g/Xf31evjd23TWvf97PfW/jRfz9P+Wzu1ykT7nmw1X2PPd1i9tszFycnJf1laogzLry8fWZGRvnk225c3apFc19MTIw9Yujp3cp9PhPaLjY29s8is8fjkSQFAgGjOsrjMWoQRzwBABAuMhUAgPC5JU/r/xUCQC3w+Xx6+4OP06+8+Pyc4445crtpIi657pa2z774Ssa4m65dn5iQYE86bvDWk44bvDVn/R/rex0yqNfnc79JOm7QwO0WmsvduMm7em1Og4m3jl4z6MjDCiTpm3nzE/1+f50t/u6pQMCquKz+j9ICABBpZCoAAOFzS55SJAaAGvDWrI/Stm4riLno7JEbM5tk+EOPHTvoyC0z33i3Scvmzcr9fr8Z0L9PUXJSkn/mm+82jonx2k7t25VWP19640b+1JTkihkzX8/IatWyPHvd+thxU+9r7fV6ozNbfi0LRGlRAAAA6hsyFQCA8LkhTykSA0ANePHVtzP69epRUL1ALEnDTjhuy32PPt2yYWJC4MkZLzWd8sCjrfwVfrNPVqvSR6ZNWNGh3b7l1V/j9Xr18LTxK2+deFfWkScM79aqRbOysddftXbUdTe3q50rih6PkRJd8CgPAACRRqYCABA+t+Rp/b9CAKgFb77w5PKdHevUvm35puU//yBJZ552ct7O2k1/+J5VoduDjzq8YPBRh/8auu/4wQPnV33fvu0+f5431I721SV+a1Xkgkd5AACINDIVAIDwuSVPKRIDABzFY4wS42Kj3Q0AAOo8MhUAgPC5JU8pEgMAHCXgklFaAAAijUwFACB8bslTisQAAGex7lgUAACAiCNTAQAIn0vylCIxAETYvY881eS1d2dlrPx9dcKgow7bUn3u4SrzFyxscMuEaa0XL12RuK2gIKb63MILfl3c4PqxE7J+W7Y8MS01teLmay7LPv2k4/Nr5SJqkcdjlBhf/x/lAQAg0shUAADC55Y8pUgMABHWvFmm78qLzls/+4u5KaVlZZ6dtYuNjbXHDRqYd87IYRtHXTumXegxn8+nf426uv2IU07Y+P7L05d++vn/ki+44tbCmi8AACAASURBVIb23bt0WtStc8eyyF9F7QkErIpKy6PdDQAA6jwyFQCA8LklTykSA0CEDT95aL4kzV+wMHH9hty4nbXr3qVTWfcuncoWL10eX/3YwsVLGmzasiX2+ssv2uDxeDT4qMMLenbrUvjCq2+mT7p19LpI9r+2eTxGDV0wSgsAQKSRqQAAhM8teUqRGADqKGutli5fmRDtftQ0f8Cq0AWjtAAARBqZCgBA+NySpxSJAaAO6Na5Y1mj1NSKSfc93PT6yy7K/XjOF8nzf1mY3K9Xj4Jo962meYxRYvxOb7gGAAB7iEwFACB8bslTisQAUAfExcXZ6Q/fvXz0HZOznn5+ZvMuHdsXDTzskLy4uNhAtPtW0wLWHaO0AABEGpkKAED43JKnFIkBoI7o17tnyadvvrikavvw40/rfMrQIZui2adIsdZGuwsAANQLZCoAAOFzQ55SJAaACPP5fPJVVBi/P2D8/oApLikxsTExNjZ2+4nvA4GASsvKTHl5uZGk4pISY4xRQoMGVpJ++GlBQpdOHUoDgYB58InpTTZtyYu94Kzhm6NwSRHlMe5YFAAAgEgjUwEACJ9b8pQiMQBE2B1T72vx2LMvNK/azuoxoPHF5565/rwzTt906HGndvvivdd+bbtPVvnKVWviBhxzQo+Qdn2bZTYpX/jVp79I0n9eeyv9jXc/zKjwV5jePboVvvrso0urCsj1SSAQcMWjPAAARBqZCgBA+NySpxSJASDCxo+5ft34Mdev29Gx7IXfza/6vn3bfco3Lf/5h52d557xY7PvGT82OxJ9dBKPx6OGDer/ogAAAEQamQoAQPjckqcUiQEAjuIPBFRQUhbtbgAAUOeRqQBQN5x+5jn7bMnLi/nk/beXR7sv+Cu35Kkn2h0AAKC6gLU1+gUAgFuRqQDc7vQzz9nn6GNPaB/tfkjS0mXL4+JTM/p9OferxGj3pcott9/ZrM+Ag7s0ap7Vp2mbdr2OOe7E9vN+nN8gtM3pZ56zT3xqRr/Qr/4HHtY5Wn2OhprOUydmKncSAwAcxeMxSnLBozwAAEQamQoA2J25X3+TfP7ZZ+UOOGD/ImutuW3chBbHn3Jap5+/+2phZpMm/qp2A/bfb9sLzz75e9V2fHy886qcEeKWPKVIDABwlEDAuuJRHgAAIo1MBYDd27xli/eq60a3+uS/c9LKyso8XTp3Kp4yYdzaQw46sLjq+EWXXZn1v7lfpxQVF3mbZGT4zj/7XxvG3Hh9riTdff+DGY89+XSzPzZsiEtISPB369Kl+OP33loWGxv7l/fq0X9AD0kaOGRoF0nq37dP4dw5nyypOj5hyl2Zjz7xVLPS0lLPwCOPyH/y0QfXJCclBSTp9bfeSZl27/3Nly9fkWCMUfduXYvumTppbZ9ePUul4F3KPfoP6PHkIw+ueHr6jCbzf16Q1KJ5s/Ip48etPeH4Y7ft7PrnfPT+stDtl2Y8+3uzfdr3mf3ZF0nDh52ytWp/XFycbd2qVUUYP+o6yy15SpEYAOAoHmOU1CA+2t0AAKDOI1MBYNcCgYCGnHhq++SkJP/LL0xflpGe7n/6uRnpQ08d3unn7+YuzGrd2nfDzbe2WLJ0WcLLL0xf1qJ584ply1fE527cGCNJX879KvHWO+5sc9+0Kb8fcdihhVu25Hk/mT07eWfv98n7by8++tgTusyc8eyy/v36FIfejfvD/J+SmmY28b37xitLV69eE3f+qEvbTrnr3tLxt9/6hyQVFRV5Lrnwgg19e/cqKS4p8YyfPLX5qSPOav/rj9/92qDB/59nwuRpLe8YOya7e9cua8ZNmtL8gksub3v4oYcsSE1NCezJz2Trtq3eQCCgxo0b+UP3//jTT0nN2rTvlZyc5D9gv/4FUybcmdOyRXNXFI3dkqcUiQEAjuK37hilBQAg0shUANi1WR9+nLxk6dLEnBVLfmrYsKGVpHumTFr3yX/npD09fUbjO24dsyE7Z118965diw875OBiSerQvl151etXrV4T16BBgv+0U07OT0tLDUjSAfv3L9nZ+zVr2rRCkjIy0iuq35Wb1DAxMP3Jx1bHxMSoT6+epa+9+VbeF/+bmyLpD0n61xkj8kPbv/DsU6uaZrXr88XcuQ2POerIwqr9F15w7oaqO4CnjB+X07lXv/Rv581LDG2zK5ddfV3rTh07lBx52KF/tj9m4JFbTxx6XF77dm3LV6z8PW785Kktjz52aKcfvvpiUUJCQr2fdsIteUqRGADgOFb1/v9nAABQK8hUANi5eT/+mFhaWuZp2a5T79D95eXlnpWrVjeQpH+fd07u+Rdf2q57vwMSDz3owG3HHzsk/5+Dji6UpOOH/HPblLvuLe/Ys0+PQw48cNtRRxy2beTpp+VVFYz3Rru2bUtiYv6/TNesaVPfTz//0rBqe9Fvv8XfctudLX765ZeGeXn5sdYGFAgEtHr1mu0my+3Tq+efReo2Wa19krRhQ+4e1f8uvvyqVj/8+FPSpx+881toX84/5195Vd/v169vyT8O2K+4S+/9erz25tupZ40cnr/Dk9UzbshTisQAAEfxGncsCgAAQKSRqQCwa4FAwDRu3Mj3yXtvL6l+LC0tzS9Jp550wraD/zHgl7fefS9lzudfpow4+9wOg48+Om/m88+uSktLDcz/9n+LPvrkv8kf/3d2yv0PPdps4tS7W86d8/HiNllZvr3pS0xMzHZVSGOMAjZgqrZPOu2M9s2aZpbfN3Xy6tatW/liY2Ls/occ0a28vNyEvi42NvbP83g8nj+vc3fvf9FlV7Z+d9YHjT546/WlXTp1Kt9V2zZZWb6mmU18y5Yvb7CHl1enuSVPKRIDABzFHwi44lEeAAAijUwFgF3r16dP8dR77o/1eD12V4XRZs2aVlz87/O3XPzv87c889zzWy+58pq2JSUlqxMSEmxsbKyOGzK44LghgwtKS8vWtWzXsdfrb72Tes0Vl22qfp74+DgrSX6/f7dF21AbNuR6V61e3eCeKRPXHPvPQQWSNPfrbxL39jw78+9LLm/93gcfNp711utLevXsUbq79n/8sSEmd+Om2ObNmu1VIbyuckueUiQGADiKx+NxxaIAAABEGpkKAEGFhYXeb779PiF0X+PGjfzHH/vPbb179Sw8dcRZ7e+4dUx2j25dS3PWrYud9eHHqUcPPHLboIFHFV57480t+vbuXdyrR/cSX0WFefu99xu1bNGiLCEhwb782hupy1esjD/isEMKmmRk+D/+9L/JxcUl3m5du+yw0NqieXNffHx84IOPPklp365tWUJCgk1v3Ni/o7ahMjLS/WlpqRVPT5+RsU+brPI1a7Njx9w+rrXX6w17DoRzLxyV9da776c///QTyzPSG1eszc6OkaSU5JRAampKYOvWbZ6bbr2txaknn5jXqmVL3/IVK+Nvu3NCy8aNGlWMOG1Y3u7OXx+4JU8pEgMAHCUQCGhbyW4HrwEAwG6QqQAQ9ONPPycddsw/u4buO/qoI/Pee+OVlR++/cay62++peXV19+4z5a8vJj0xo0q+vbuXXjeOWdtlqT4uPjA+MlTW+asWx8XHxdne/boXvjaS88vl6RGjdL8H3z0cdp9Dz3Soqy01NOqVcuyaRPvXDVo4FE7XCQuNjZW48aOWXvPAw81f+CRx1r07d2rcO6cT/4y1UV1Xq9XTz/68MobxtyaNeCwI7u1btWqbMLtY9eee9GoduH+bF58+dUmknTKiDM7hu6/4pKL10+bNH5dTIzXLl6yNGHk2eenFxQWejPS030D9t+vYObz01f8nbmX6yK35Kmx1nkTL28sLJkX7T4AqD+aJCX039mxzSsW8HmzB9Lb9dzpz7CmtevSzU6d/nKNnvPUAT1+sNbW2jU4ycKFC/kdB1DrunfvvsvP3F+yc1372dSjVSaZWgeRp8Cu7e5zv3zbZv4OocbFpaTXSh5FIk8l52UqdxIDABzF6/Eo2QWP8gAAEGlkKgAA4XNLnlIkBgA4it8lj/IAABBpZCoAAOFzS55SJAYAOIrXY5ScUP9HaQEAiDQyFQCA8LklTykSAwAcxR+w2uqCUVoAACKNTAWA6Jt8171NXn71tYxlK1YmHDt40JaXX5i+amdtx0+emvnw4082Ly0t8ww+emDeM48/vDohIWG7xcQ++OiTpBNPG9Hpkov+vf7eqZPWRfwC4Jo89US7AwAAhLJWCgRsjX4BAOBGZCoARF/LFs1911195fpTTjxh067avfn2uykPP/Zk8/feeHXJ0l9+XLBm7dr4G8aMbRHapqy83Nww5tasHt26FUW21wgViTx1YqZyJzFc69wzRuyTl7cl5q1ZHy2Pdl8A/D+vxyjFBY/yAAAQaWQqAETfWSOH50vSvB/nJ65btz5uZ+2ef3Fm+mmnnrypX5/epZJ043XXrLvwsivaPnjPtJyqNuMnTWl66MEHbdu0aTP1vFrkljzllwp/y7qc7JjJ4+9s/sWc2akbc3PjUlPTKtp37Fhy3oUX5Z54yqlbo92/PXHPgw+vDVjnjdwAbucPBLS1uP4/ygMAQKSRqQBQdyxdvjzhuCGD86u29+vXt2TLlryYDRtyvU2bZvqXLV8RN/PV1zPmzf1i0YWXXpEVzb66jVvylCIx9tryZUvjhh5zdOfEhon+628ak9Orb9/iQCBgZn/8cfIto6/POvGUU3+Jdh/3RKPGjf3R7gOAv/J6PEpJaBDtbgAAUOeRqQBQdxSXlHhSU1P/rFM0atzIL0lbt23zNm2a6b/8muta33T9tTmpqSmB6PXSndySpxSJsdeuvfyyLEmaPfebxSmpqX9+OPXs1bv0rPPO3yJJUyeOb/rGq6+kr8vOjk9KSvYfdOihWyffc192enq6X5KefPSR9DtvuzVrTe7m+VWv//jDD5LPHHZKx1+Wrfy5abNmFZL05WefNZxwx20tFy38paHX67WdunQtfmL6jN+z2rTxvfPmGykP3HN385UrlicYSV26dS+aeNfda3v26v3n8M5tN9/Y/I1XX8nYsnlzbFJysn/AgQdtfe6ll1dJf51uYnfnW75sadyBfXv3eODRx1c8P/2ZJgt++impWfMW5bdPnLT22OOHbovwjx1wDX8goHwXjNICABBpZCoA1B2JCQmBbdu2eau28/PyPZKUmpLin/nq66mFRcXe884+Ky96PXQvt+QpC9dhr2zMzfV+89Xc1BFnnZUbWiCuUlUE9hiPvX3CpLWzv/rm1wcee3zlLwt+bnjNpaP26nGIed99mzDilBM7ZbVpU/b6e7N+e/ujT3477oQTt1RU+IwkFRcVeS646OIN73/y38WvvP3ukuTkZP+/hp/Wvqy01EjSzBeeT3vu6aeajZs0Zc2X3/+wcPqLM5f16dtvp5O77+58Ve6aPLHleRdenPvx518u6tajR9GVF1/YdtvWrfxdAmqQtbZGvwAAcCsyFQDqho7t25f8/MvCxKrt73/4MbFx40YVTZtm+md/9nnKr4sWN2y+b4dezfft0OuDjz5u/OyM55sOHnpSu2j22U1qOk+dmKncSYy9svS33+KtterUucsuh1Cuu+nm3Krv23foWF5cXJw96vxz2/v9/t+9Xu+uXvqn++++q1mHTp2Kn5g+Y3XVvtC7hIefeVZ+aPsnnpuxqkOrFn2++t+XDY8YeHThmjWr49MzMnzHDj1hW1xcnG3brn35Pw46uHhn77e781XtP+eCCzecctrpWyXpjomTc/br0TX9h++/SwxtA+Dv83o8SnXBozwAAEQamQoA0efz+eTz+Yzf7zf+gN8UFxeb2NhYGxsbu127M0acvvmyq6/d919njNic1bqVb/Ld9zY/9aQTN0nS1Al35tx60w3rq9pedvV1Wc2aNvXdedst62r5clzJLXlKkRh7xVprdt9K+nDW+8kP3nNXs99XrkwoKizyBgJ++Xw+k5OdHZvVpo1vT87x26JFiQMHDcrf2fElixfH33nbrS0WLvi5YX5eXmzAWgUCAa1ZvTpOkoYNH7nl+WefyezduUOPAw8+ZOuRA4/edvKw0/IbJCTscLhmd+er0rNXr5Kq71tnZfkkKXfDBv4uATWkIhBQfnHJ7hsCAIBdIlMBIPpuHntHiwceeax51Xaj5lmNr7jk4vUXXXDepv4HHdpt3twvfm3frm35KScO3bZo8eI/jj3x1E6lZWWeQQOPyps6Ydw6SUpLSw2kpf3/09wN4hsEEhMT/ZlNmrDWUi1wS55S2MJe6dSlS6kxRkt+W7zTIZQVy5fFXXDWGR1OGnbaxtFjbl2X0aRJxQ/ff5947RWXtS0vLzOS5PF4pGq31vt8vj0qQFc547RT2jdt2rR84l33rG7VurUvNibGHnnQP7qVl5cbSdq3bVvftz8vXPjRrPdTPp89O2XiuNtb3X/3tBaf/u+rxcnJf53ofXfnqxIbF/dnxz2e4CwTgUBgr/oO50hv17N/tPuA7Xk9HqUk1v9RWgAAIo1MBYDomzZp/Lppk8bv8I7f/D+y54du33rT6A233jR6w+7O+fIL01fVUPewB9ySpxSJsVeaZGb6D/jHgdtefH5G5pXXXv+XeYk3b97s/f6bbxIrKirMvQ89sjYmJvgr9t47b6eFtsto0sRXWlrqyc/L86Q1ahSQpAU/zU8IbdO5a9fib76am7yjfuRu2OBds2pVgwlT71oz6J9DCiTp26+/SvT7/dsVaxMTE+1Jpw7betKpw7auy8le37tzx16fz5mTdNzQE7b9nfMBiDx/lEZpjTGDJd0vySvpKWvt5GrHz5E0TVJO5a6HrLVPVR47W9ItlfvHW2ufq5VOAwCwC2QqAADhi1aeSrWbqRSJsdfuuv/B1UMHH935yIMGdLnmhhvX9ezTp9haa+Z8+mnyE4881Oy5l15eHggEdPeUSU1PPvW0vK/n/i9pxjNPZ4ae48CDDylqkJAQGHPDda0uv/raDT/9+EPCS8/P2K7NFddc+8eJQwZ3ufCcf7W58JJLcxskJAS+/Oyz5EFDhmxrs8++5alpaRXPP/tMRps2+5Rnr10Te+fYW1t7vd4/7/J98tFH0isqKswB/ziwKDk52f/KS/9pHBMTYzt16vyX+ZTTMzL8uzsfgFpi//KgQcQZY7ySHpZ0tKRsSd8bY96x1i6q1vRla+1l1V7bWNJtkvpLspJ+qHwtKw8DAKKLTAUAIHxRyFOp9jOVIjH2WsfOncs//WLu4skT7mw2ZcKdrTZt3Bibkppa0aFjp5KJ0+5e3W+//UtuvGXs2qcee7TZg/fc3bJHr96FN916W/bVl13StuocTTIz/Xc/8NDvk8bd0ertN17P6N23X8HV14/OGX3NVftWtdnvgAElL7z86tKJ425veeI/B3WJjYsLdOnarfj4E07c6vV69eDjT6687abRWUcdcmC3Vq1ald0ybvzaS/99/p8re6alpfkfefD+ZlMnjm/lr6gw++zbtvShJ55a0aFTp/Lq17Qn5wNQO7weo7Taf5Rnf0nLrbUrJckYM1PSCZKqh++ODJL0ibV2S+VrP5E0WNJLEeorAAB7hEwFACB8UcpTqZYzlSIx/pZWWVm+hx5/cq2ktTs6fs3oG3OvGX1jbui+M84+54fQ7WHDR+QPGz5iu4Xpzv33hVtCt48YeHThEQOPXrKj9xg85NiCwUOO/TV03/EnnPjnfD7DRozMHzZi5E4Xvnv2Py+t2pvzte/QsTy3oHi7a5CkHe0D8PdVBKzyimr8UZ4MY8y8kO0nrLVPhGy31PafZ9mSDtjBeU4xxhwqaamkq621a3fy2pY1020AAP4+MhUAgPBFKE8lh2UqRWIAgKPEeIxSa36UdpO1NtxFCt+V9JK1tswYc5Gk5yQdGX7XAACIDDIVAIDwRShPJYdlKkViAICjBEdp/zJ1eKTlSGodst1K/z/xvyTJWrs5ZPMpSVNDXnt4tdd+VuM9BABgL5GpAACEL0p5KtVyplIkBuBqm1csmLf7Vkhv1zPc0c29EJVVAb6X1MEYs6+CYTpc0sjQBsaY5tba9ZWbQyUtrvz+I0kTjTGNKrePkXRT5LsMAMDukKkAAIQvSivX1XKmUiSGo2zMzfVecsF5+3z79VcpqWlpFdfdeHPO2edfsKV6u82bN3uvvfzS1l99+WWqJJ1+xpkb75w8ZV31dp9+9GHSyFNP7nTBxaPWT5x291+OA3Aer8dT64sCWGsrjDGXKRikXknPWGt/NcaMkzTPWvuOpCuMMUMlVUjaIumcytduMcbcqWCAS9K4qsUBAACIJjIVAIDwRSNPpdrPVIrEcJSrLh2VFRsbaxcu//3nH77/LvG8M0e279Wnb3Hvvn23u6//+isvb11aUuL5cfGSX/5Yvy7m1OOP7dg6K6vswksu/fM2+/LycjP2phuzunbvXlT7VwLg7/IHAtoSmUUBdslaO0vSrGr7xoZ8f5N2MvJqrX1G0jMR7SAAAHuJTAUAIHzRylOpdjOVIjEco6Bgm2fOp580+vTLub+mpKYGjhh4dOGhhx+x9cXnn0vv3bfvdnOufPHZnNQZM19ZlpSUFGjfoWP5KaedvumVl17MCC0ST5s4vumBhxyybfOmTfyeA3VItEZpAQCob8hUAADC55Y8pXgGx1j866/xXq/Xdu3eo6xqX5fu3Yu//fqr5B21t4H/nw/GWquVK5YnVG2vWL4s7vVXXsn47OtvF115ycVZEe04gBpV4Q9oS2F0RmkBAKhPyFQAAMLnljz1RLsDQJXCggJvYsOGgdB9KSmp/uKiIm/1tgcefPC2++6e1nxrfr7nt0WL4t949ZWMstLSP3+fb7jqytbX3DA6JyU1NVD9tQCcz9bwFwAAbkWmAgAQvprOUydmKncSwzGSkpP9xUVF2w1cFBRs8yY2bOiv3vbuBx5ec83ll2bt36t7j9TUtIohxw/dMuvddxpL0uuvvJxaVFTkPfOcc/Nqq+8Aak6Mx6NGDev/ozwAAEQamQoAQPjckqcUieEYXbp1K/P7/Wbxrwvju3TrXiZJixYuTOjQsdNf7ulvkpnpf/7lV3+v2r7x2qtbduvRs0iSvpgzJ+W3Rb827NSmVS9JKios9Hq8Xrtk8eKE19+btaK2rgfA31MRcMejPAAARBqZCgBA+NySpxSJ4RjJySmBw48amD/+9ttaPPbMs6t/+O67hC/mzE57c9ZHv1Vvu2Tx4vhGjRtXNE5P97//ztspr708M+O1d95fIknjJk3OuWHMmPVVba+/8oqszKbNfGNuv2NdbV4PgL/H6zFKc8EoLQAAkUamAgAQPrfkKUViOMr9jzy2etT55+7Tre0+vVJSUytunzBpTe++fUtnf/Jx0jlnjOiwJnfzfEma9923ieNvH9u6sKDA2zqrTdm9Dz/6e+++fUslKTUtLZCalvbnXMTxDRoEEhsm+ptkZv5l2goAzlMRsK4YpQUAINLIVAAAwueWPKVIDEdpkpnpf+3d9/8yJcSRRx9TWFUglqQzzj4n74yzz9mjOYef/c9Lq2qsgwBqgZW1TpzGHwCAuoZMBQAgfO7IU4rEAABHifF41CgpMdrdAACgziNTAQAIn1vylCIxAMBRKvwBbSkojnY3AACo88hUAADC55Y8pUgMAHCUGK9HjZISot0NAADqPDIVAIDwuSVPKRIDABylwh/QZheM0gIAEGlkKgAA4XNLnlIkBgA4ipVcsSgAAACRRqYCABA+t+QpRWIAgKPEeDxq7IJHeQAAiDQyFQCA8LklTykSAwAcpSLgjkd5AACINDIVAIDwuSVPKRIDABwlOEqbGO1uAABQ55GpAACEzy15SpEYAOAoFYGANhXW/1FaAAAijUwFACB8bslTisQAAEexsgrYQLS7AQBAnUemAgAQPrfkKUViAICjxHi8Sk9qGO1uAABQ55GpAACEzy15SpEYAOAoFX6/NhUURbsbAADUeWQqAADhc0ueUiQGAAc5+uSRnZatWJWw+NvZPyc0aGCj3Z9oiPF6lO6CRQEAAIg0MhUAgPC5JU8pEgOAQyxfuSru54WLkhomJvrfePeDtDOGnZQX7T5FQ4U/4IpRWgAAIo1MBQAgfG7JU4rEAOAQM15+Pb1b505Fvbp1KXzlrffS3VoklqSAdeVN1AAA1DgyFQCA8LkhTykSA4BDvD3r4/Tzzjhtw/79+hSdeOYFnXPW/xHTsnmzimj3q7bFeD3KSK7/j/IAABBpZCoAAOFzS55SJAYAB5j9xdykP3I3xg0/eWhe08wmFS2bNy37z6tvNr7hilG50e5bbfP5A9q4rf4/ygMAQKSRqQAAhM8teUqRGAAc4MXX304/oF/vbU0zm1RI0nGDBm55470PM9xYJI7xeJSe3DDa3QAAoM4jUwEACJ9b8pQiMQBEWVFxsflkzheN/IGA6dD/0F6S5PNVmMKiIu+8+QsS+vfpWRLtPtamikBAm1wwSgsAQKSRqQAAhM8teUqRGACi7LW3ZzXyeDya884rv8bFxQaq9p99yTXtXnj1zfT+fXpmR7N/tc5K1gWLAgAAEHFkKgAA4XNJnlIkBoAoe/Xt99JPGDJoU9t9sspD9587cljuHVPvy5p2x83ZsbGx0eperQsuClD/H+UBACDSyFQAAMLnljylSAwAUfbezOnLdrT/zNNOzjvztJPzars/0Vbh9yt3W2G0uwEAQJ1HpgIAED635ClFYgCAo8R4va4YpQUAINLIVAAAwueWPKVIDABwFJ/fr40uGKUFACDSyFQAAMLnljylSAwAcBwXrAkAAECtIFMBAAifG/KUIjEARNi9jzzV5LV3Z2Ws/H11wqCjDtsy/eF7Vu2o3fwFCxvcMmFa68VLVyRuKyiI2bT85x9Cjy/4dXGD68dOyPpt2fLEtNTUipuvuSz79JOOz6+Vi6hFMV6PMlISo90NAADqPDIVAIDwuSVPKRIDQIQ1b5bpu/Ki89bP/mJuSmlZmWdn7WJjY+1xMQ3QcwAAGrRJREFUgwbmnTNy2MZR145pF3rM5/PpX6Oubj/ilBM2vv/y9KWffv6/5AuuuKF99y6dFnXr3LEs8ldReyr8AeVurf+P8gAAEGlkKgAA4XNLnlIkBoAIG37y0HxJmr9gYeL6DblxO2vXvUunsu5dOpUtXro8vvqxhYuXNNi0ZUvs9ZdftMHj8WjwUYcX9OzWpfCFV99Mn3Tr6HWR7H9ti/F41CQlKdrdAACgziNTAQAIn1vylCIxANRR1lotXb4yIdr9qGluGaUFACDSyFQAAMLnljylSAwAdUC3zh3LGqWmVky67+Gm1192Ue7Hc75Inv/LwuR+vXoURLtvNS0431PDaHcDAIA6j0wFACB8bslTisQAUAfExcXZ6Q/fvXz0HZOznn5+ZvMuHdsXDTzskLy4uNhAtPtW03wuGaUFACDSyFQAAMLnljylSAwAdUS/3j1LPn3zxSVV24cff1rnU4YO2RTNPkWGlbU22p0AAKAeIFMBAAifO/KUIjEARJjP55OvosL4/QHj9wdMcUmJiY2JsbGxsdu1CwQCKi0rM+Xl5UaSiktKjDFGCQ0aWEn64acFCV06dSgNBALmwSemN9m0JS/2grOGb47CJUVUjNerzNT6vygAAACRRqYCABA+t+QpRWIAiLA7pt7X4rFnX2hetZ3VY0Dji889c/15Z5y+6dDjTu32xXuv/dp2n6zylavWxA045oQeIe36NstsUr7wq09/kaT/vPZW+hvvfphR4a8wvXt0K3z12UeXVhWQ65MKv18b8uv/ozwAAEQamQoAQPjckqcUiQEgwsaPuX7d+DHXr9vRseyF382v+r59233KNy3/+Yedneee8WOz7xk/NjsSfXSSGK9XTVwwSgsAQKSRqQAAhM8teUqRGADgKD6/XxvyC6LdDQAA6jwyFQCA8LklTz3R7gAAANXZGv7fnjDGDDbGLDHGLDfG3LiD49cYYxYZYxYYY/5rjGkTcsxvjPmp8uudGvxRAAAQFjIVAIDw1XSeOjFTuZMYAOAosV5PrS8KYIzxSnpY0tGSsiV9b4x5x1q7KKTZfEn9rbXFxphRkqZKOr3yWIm1tnetdhoAgN0gUwEACF808lSq/UylSAwAcBRfRUB/1P6jPPtLWm6tXSlJxpiZkk6Q9Gf4WmvnhLT/RtKZtdpDAAD2EpkKAED4opSnUi1nKkViAICjxHg9alr7o7QtJa0N2c6WdMAu2p8v6YOQ7QbGmHmSKiRNtta+VfNdBABg75CpAACEL0p5KtVyplIkBgA4SoU/oD/yC2v6tBmV4VjlCWvtE3/nRMaYMyX1l3RYyO421tocY0xbSbONMb9Ya1eE0V8AAMJGpgIAEL4I5anksEylSAwAcBQrydo9m8R/L2yy1vbfxfEcSa1DtltV7tuOMWagpDGSDrPWllXtt9bmVP650hjzmaQ+kvgHLQAgqshUAADCF6E8lRyWqRSJAQCOEhudR3m+l9TBGLOvgqE7XNLI0AbGmD6SHpc02FqbG7K/kaRia22ZMSZD0kEKLhYAAEBUkakAAIQvSnkq1XKmUiQGADiKr8Kv9Xm1uyiAtbbCGHOZpI8keSU9Y6391RgzTtI8a+07kqZJSpL0qjFGktZYa4dK6iLpcWNMQJJHwbmeFu3wjQAAqEVkKgAA4YtGnkq1n6kUiQEAjhIb41XTtORaf19r7SxJs6rtGxvy/cCdvO4rST0i2zsAAPYemQoAQPiiladS7WYqRWIAgKP4Kvxan1/7o7QAANQ3ZCoAAOFzS55SJAYAOEoEFwUAAMBVyFQAAMLnljylSAwAcJTYGK+apUVlUQAAAOoVMhUAgPC5JU8pEgMAHCVaiwIAAFDfkKkAAITPLXlKkRgA4CixXq+aRWlRAAAA6hMyFQCA8LklTykSAwAcxef3a33+tmh3AwCAOo9MBQAgfG7JU4rEAADHccGaAAAA1AoyFQCA8LkhTykSAwAcJdbrccWjPAAARBqZCgBA+NySpxSJAQCO4vMHtD6v/j/KAwBApJGpAACEzy15SpEYAOAoMS4ZpQUAINLIVAAAwueWPKVIDABwFF+FX+tcMEoLAECkkakAAITPLXlKkRgA4DjWDasCAABQC8hUAADC54Y8pUgMAHCU2BivmqWlRLsbAADUeWQqAADhc0ueUiQGADiKWx7lAQAg0shUAADC55Y8dWSRuElSQv9o9wGAO6S368nnjcPExnjVvFH9XxSgtnTv3p3fcQCO06NVJp9NtYBMrTnkKRCeuJR0/g6hznJLnjqySAwAcK/yCr9yttT/UVoAACKNTAUAIHxuyVOKxAAAx3HDogAAANQGMhUAgPC5IU8pEgMAHCXW61WLRvV/UQAAACKNTAUAIHxuyVOKxAAAR/FV+JWzZWu0uwEAQJ1HpgIAED635ClFYgCAo8TGeFwxSgsAQKSRqQAAhM8teUqRGADgKOUVfmW7YJQWAIBII1MBAAifW/KUIjEAwHFcsCYAAAC1gkwFACB8bshTisQAAEeJi/GqZeP6/ygPAACRRqYCABA+t+QpRWIAgKOUV/iVvbn+P8oDAECkkakAAITPLXlKkRgA4CixMV61cMEoLQAAkUamAgAQPrfkKUViAICj+FwySgsAQKSRqQAAhM8teUqRGADgKNZK1g2rAgAAEGFkKgAA4XNLnlIkBgA4SnBRgLRodwMAgDqPTAUAIHxuyVOKxAAARymv8Gvt5vxodwMAgDqPTAUAIHxuyVOKxAAAR4mL8apV49RodwMAgDqPTAUAIHxuyVOKxAAAR3HLKC0AAJFGpgIAED635ClFYgCAw1hXLAoAAEDkkakAAITPHXlKkRgA4CixMV61Sq//j/IAABBpZCoAAOFzS55SJAYAOEp5hV9rNtX/R3kAAIg0MhUAgPC5JU8pEgMAHCXO645RWgAAIo1MBQAgfG7JU4rEAABHKa/wa60LRmkBAIg0MhUAgPC5JU890e5ANBljphtj3tuL9vsYY6wxpn+Y73u7MWZhOOeoPE+hMeacMM9hjTGnhtsXAKhJ1tbsFwAAbkWmAgAQvprOUydmqmPuJDbGTJd0tqSx1to7Q/YfLmmOpCbW2k17eK7PJC201l5W8z0FAERSXIxXrdPTot0NAADqPDIVAIDwuSVPHVMkrlQq6XpjzGPW2o3R7gwAoPaVVfi1ZlNetLsBAECdR6YCABA+t+Sp04rEcyS1knSrpCt21sgYc6ikaZJ6Sdoq6UVJo6215ZV3JB8m6TBjzKWVL9nXWrtqd29ujBksaYyk7pKspO8lXWWtXVytaUdjzH2S+ktaJekKa+3HIefpWtm/QyWVSPqvpKuttX/s4r3PlXS9pLaS1kh6VNL91tpA5fH2kp6SNEDSaknX7sH17CdpgqS+kuIkLZB0vbX262pNmxlj3pd0hKSNksZYa18IOU8PSfdKOqjyet6RdKW1dqsx5hhJ70lqbq3dHPKaiZKOs9b2rNw+UNIkSftJyqs8x2hr7bbdXQcAd4mL8apVRv0fpQUAINLIVAAAwueWPHVakTgg6UZJbxlj7rfWrqjewBjTUtIHkp6XdI6kdgoWTwMKFk6vlNRR0m+Sbq582Z7eldxQ0n0KFlMTJN0i6V1jTFdrbXlIu6mSrqlsd6mkt40x7a21OcaY5pK+kPS0pOskxSpYqH3bGPOPqqJvtWv6t6Rxki6X9IOCReonJfkkPWSM8Uh6U8Hi6j8kJUq6X1L8bq4nWcGf05UKFr0vkzSrsq+bQ9rdoeDP6mpJwyTNMMb8Zq2dZ4xpKOkjSd9J2l9S48q+PSPpFAUL4JsqX/dY5fUYSSMlPVK53UPSx5Juk3RB5TnuqzzHqZVtzpH0rPawoA+g/iqvqNCajfV/lBYAgEgjUwEACJ9b8tRpRWJZa2cZY+YqWFgdvoMml0haJ+mSyoLrYmPMjZIeN8bcWnl3a7mk4l3dubuT9349dLvy7t5tChZH/xdy6FFr7SuVba6UNEjSKAWLyqMk/WytHR1ynn9J2qLgncff7eCtb5V0g7X2tcrt340xkyuv9SFJAyV1VbCAuqbynFdJ+nI31zO72vVcrmBh95+SXgg59Ia19vHK7ycYY46QdJWkMxUs9jaUdJa1tqDyPBdKmlNZbF5ujJkp6QxVFokVvOO4tYJ3eEvBO6RfttbeHdKXUZLmG2MyrbW5Ct4RvkTBwjgAl7Ny4Cz+AADUQWQqAADhc0OeOq5IXGm0pK+NMdN2cKyLpG+q3ZH7PwWnU2iv4N29f4sxpp2kOyUdIKmJJE/lV1a1pn9O12CtDRhjvlWwiCtJ/SQdaowp3MFbtFO1IrExpomCBdXHjTGPhhyKkWQqv+8iKaeqQFzpWwXvnt7V9WRWXs8RkppK8ip4h/ROrydk+9iQ915QVSCu9FXle3eVtFzBgvNVxpg21trVChaMP7fWZle27yepvTHm9NDuVf7ZTlKutfZNBe+WBuBycTExau2CR3kAAIg0MhUAgPC5JU8dWSS21n5njHldwWkd7tybl4b51u9JypZ0kaQcSRWSFilYgN5THknvKzjVRHUbdtJeki5WsPhak55TsDh8tYJzJ5cpOD3E3lzPrlhJstb+aIz5TdJIY8xdCk49cUNIO4+CU4Lcu4Nz5NRQXwDUE8FHefKj3Q0AAOo8MhUAgPC5JU8dWSSudLOCBdrB1fYvlnSaMcYTcjfxwZLKJVXNYVyu4F2ze8wYky6ps4LTWMyp3NdXO/4ZDZA0u7KNUXA6iqqpIn6UdJqk1dba3U6dYK3dYIxZJ6mdtXbGTpotltTSGNPaWru2ct/++v8C884crOCieu9X9rWppOY7uZ5nqm1XLda3WNJ5xpjkkLuJD6x879AF/V5Q8A7ihQpOT/FayLEfJXWz1i7fTX8BwDWjtAAARBqZCgBA+NySp44tElfOdfuEgouuhXpEwflyHzHG3C+praTJkh6y1hZXtlklaX9jzD6SCiVt2dGCcdXkKbgA27+NMWsltZQ0TcG7iasbZYxZKukXBecNbiOpaqqIhyX9W9LLxpgpCi6a11bBwvG11aZtqHKbpAeNMfmSZim42F1fSS2ttZMkfargQnwzjDFXKzhlxL076VuopZLOrJwOo6GCd2aX76DdycaY7yV9puBCckcpOOWGJP1HwYXtZhhjxkpqJOlxBecxDi36/kfSeAXv/H7XWrst5NgUSd8YYx6rfG2BggX54621F0mSMeYkSZMkHWWt5e5iwMXKfBVaHYVFAYwxgxVcFNQr6Slr7eRqx+MlzVBwCp3Nkk6vWmjTGHOTpPMl+RUcnPuoFrsOAMAOkakAAIQvWnkq1W6m7u5O1Ggbp2qF0MoC4j8l9ZH0k4J3wL6k4J3HVe5SsBi6SMEibfU5eP+isoh8uqSeCt4N+7CCC8qV7aD5jZKukfSzgnc6n1Q1/661dp2CC7cFJH0o6dfKc5Xt5Fyy1j4l6TxJZ1We80tJF0r6PaRvJyn43+tbBf/jj9/Z+UKcJylJ0g+SZir4s1q1g3a36//au/MYK6szjuPfH+C4YXG3ChoMgnWLaHFrEW2MTbVNMEZjUYsi1FgRrdGqLXHD1t2kttQoWosOKAoxikqrUQSldUNEcEEkIIvGBVQUcEOf/nHOwPXl3lmYYebi/D7Jzdz3Pec957zv3MxJnnvmOWlDu1mkjfcGRcSLue9VpI35fkDKp/wQKWfxGYV7WEjKDb0/390Uj4iYBfQDugNT8z1ew3fTb3QB9iQFyM2snYto2VdDJHUk/a0+hpRvfYCkvQvVBgMfR8QepC/qrsvX7k3aaHUf0pxwS27PzMyszXlONTMza76Wnk+rcU6tmpXEEXF6mXMfAFuVOf80a1e6lmtrLnBYU/uMiMnAvoVqnUvK32bthmtj62n3LdKK3ErlV5ACs6Xn7iUFuytdMxc4otLYKlzzCus+p9pCnbr7GVlPO7NJq4vrFRH96imbzrqpQ0rLRwOjG+rDzL7/ajp1bIt/5TkYmBcR8wEkjQP6k75srNOftX+7JwAjc8qh/sC4iPgSWCBpXm6vuCmomZlZq/KcamZm1nxtNJ9CK8+p1b6S2MzMrDV0BRaXHC/J58rWiYjVwHJgu0Zea2Zm1l54TjUzM2sZrTqnVs1KYjMzM4Cli+Y/dvtZJ2zfws1uJml6yfGoiBjVwn2YmZlVFc+pZmZmzbeB5lOosjnVQWIzM6sqEVExNc0G9A6wa8lxt3yuXJ0lkjqRcqkva+S1ZmZmrc5zqpmZWfO10XwKrTynOt2EmZkZvAj0lLS7pBpSgv+JhToTgdPy+xOAyRER+fyvJW0qaXegJ2mjTzMzs/bIc6qZmVnLaNU51SuJ14Ok7sAC4KC8IVu70Z7v3cy+vyJitaRzgMeAjsCdEfGapBHA9IiYCPwTqM0J/z8iTdDkeveTNg9YDQyNiG/a5EbMzMzamOdUMzOzltHac6pScLl6SDqQFCl/LiJ+up5tTAGOAAZGRG3J+dOBkRHRuYltvRoR55Sc6wjsACzNSaE3KEnHA+NJuxKesqH7a2AsrXrvTSFpOHAs0BvYIiLUiGv6ARcCPwZ2AQZFxOhCnZ2A64CfA1sDTwPDIuKtFr0BMzMzMzMzMzOzNlCN6SaGALcA+0raqxntfAFcJWnTlhnWWhHxTUS814pB0iHA9cBxkrZppT7XIammDe69KTYFHgD+2oRrOgOvAucBnxcLJQl4kLQs/zjgAGAh8ISkLZs7YDMzMzMzMzMzs7ZWVUFiSZsDJwOjgAnA4GY0dx+wOTC0nv62k3SvpCWSPpf0mqRBJeWjSSuSh0qK/OqeXyGpj6QOkhZLGlZou1euc2A+7iJplKQPJH0maaqkPg3dhKRuwM+AG4HngFMK5Ufmfo6R9FK+j2ckdZN0hKRXJK2Q9Iik7QrXDpL0uqQvJM2VdL6kDiXlIWmopAckrQSuLr33kno/kjRR0vLc17OS9stlB0l6XNJSSZ9KmibpsMI4QtKZksZLWilpvqRTG3o2RRFxWUTcBLzchGsmRcSfImIC8G2ZKj2BQ4GzI+KFiHgT+B3pszWgqWM0MzMzMzMzMzOrNlUVJCYlWF4YEbOBWmCgpE1KK0iaklNANGQFcCUwXNLWFepsBswAfgXsA9wM3CbpqFx+HvAs8C9g5/xaXNpARHwL3EsheJuP34iIGXk16qNA19zXAaSUBZMl7dzAfQwCHo+IZaRnUilwfiXwe+AQYBtSkPwy4EzgyHx/V9RVlvRb4OpcZy/gAuBi4OxCu5cDk4D9gH8UO5W0CzANCOBo4MBcr2OuslUe9+HAwcBMYFIxYJ3H8RCwfx77nZJ2q3CvraluJfoXdSfy7/xLoG+bjMjMzMzMzMzMzKwFVVuQeDApoAgwFVgF9C/UWZRfjTEKWAZcUq4wIt6JiBsiYmZEzI+IUaR0BQNy+XLgK2BVTrHwXoUkz2OAQyT1KDl3cj4PaSVwb+CEvBp1XkRcCswHflNp8Dm4PIi1z2QC0KvCCuRLI+KZiJgF3Ar8BPhDRDyfN5i7K49jTX3gooiYEBELIuJh4FrWDRLfFxF35OezoEy/Q4GVwIn53uZGxJiImAkQEZMjojYi3oiIOcAwUsD1mEI7tfm6eXlsq4F+lZ5NK5pD+rxdLWlbSTWSLga6kb40MDMzMzMzMzMz26hVTZBY0h6klZn3AETaUW8shZWzETEwIgY2ps2cN3c4cK6krmX67ChpuKRZkpZJWgEcDzRpBWsOzM4mryaWdAjQI48f0qZoWwAf5nQMK3Jf++Z6lRxFWhX8cO5nBSk/brnVxLNK3r+ff84unNsxj28HYFfSqunS8VxbZjzT6xkfpFXR0yLiq3KFknaUdFtOZ7Ec+CyPo/iM14w//94+rBtvW4qIr0mfiR6kLxxWkYLt/6Z8egozMzMzMzMzM7ONSqe2HkCJIaQUBYvSAloABCBp14hYXOnC+kTEeEkXAiOAZwrFF5LSLJxHCqiuIKVgWJ/g5BhS8HYEKVg8LSIW5rIOpCDt4WWu+7SeNocAWwMrC8/kM0kXRMSqkrpfl7wPWBPgLD1X96VA3c+zgP/V0z+kVcLNcRewE3A+8DYpTcOTQE2h3teF49LxtqmIeAnoLakLUBMRH0p6noYD6GZmZmZmZmZmZlWvKoLEkjoBpwF/BB4pFNeSUi6MaEYXF5ECkx8VzvcFHo6I2jwOAb2AT0rqfMXa/Lr1uQe4RtKhwEmklAl1ZpACpd9GxPzGDFjStsBxpOcyo1D8JCl/892NaasoIt6X9C7QIyLWq40SLwOnSqqpsJq4L3BuRDwKIGknNtI0DTn9CJJ6An347u/YzMzMzMzMzMxso1QVQWLgl8D2wO15g7Y1JI0DzpJ0VUSEpLshpZ1obOMRMVXSf4BzgNKcwnOBkyT1BZaS8uXuTgp81nkbOFhSd9JK42Kgua6PJZKmkvIBdwHGlxQ/AfwXeEjSRaQ8tz8EfgE8ERHFFc6QchV/Cowt5kGW9ABplXFzAryXA3+X9AlpY7pNSJvOdY2Ia5rQzi2kFcn3S/oL8DFwEGnTvpmkZ3xqXnm7JXA9KfDe4vJGd9sC3fNx71w0L6fqQNIcYGREjMzHnYE9cr0OwG75uo8iYlGucyLp87GQtIHfzcCDEfH4hrgPMzMzMzMzMzOz1lQV/85PStPwVDFAnI0nBf2Ozse70cScwdklrJvi4M/AC6T8sk+TUiuMLdS5kRTUfJ2UJ7e+vscA+wOTIuLjupM5v/KxwGTgduBN4H5gT+DdCm0NJgUiy22UNx44XFKvesZSr4i4AziDFIx+hZSK40yg3OZ09bXzDmmDuRrgKVKAfRhp4zlyH52Bl4BxwJ2kwHuTSJoiaUoD1Ubk/m/Ixy/nV+lGf3uSvpCo06ek3ubAlfl96cr1nUkB+TnA30ir2wc09R7MzMzMzMzMzMyqkVL80qy6SVoI3NrEVc5mZmZmZmZmZmbWgGpZSWxWkaR9SBve3dTWYzEzMzMzMzMzM/u+8UpiMzMzMzMzMzMzs3bMK4nNzMzMzMzMzMzM2jEHic3MzMzMzMzMzMzaMQeJzczMzMzMzMzMzNoxB4nNzMzMzMzMzMzM2jEHic3MzMzMzMzMzMzaMQeJzczMzMzMzMzMzNoxB4nNzMzMzMzMzMzM2rH/A/SjWbKUkcZ/AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "j = aqp.plot_disparity_all(majority_bdf, metrics=['precision_disparity'], significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing disparities between groups in a single user-specified attribute for default metrics\n", "##### Default Metrics\n", "When visualizing more than one disparity, you can specify a list of disparity metrics, `'all'` disaprity metrics, or use the Aequitas default disparity metrics by not supplying an argument:\n", "- Predicted Positive Group Rate Disparity (pprev_disparity),\n", "- Predicted Positive Rate Disparity (ppr_disparity),\n", "- False Discovery Rate Disparity (fdr_disparity),\n", "- False Omission Rate Disparity (for_disparity)\n", "- False Positive Rate Disparity (fpr_disparity)\n", "- False Negative Rate Disparity (fnr_disparity)\n", "\n", "The treemaps below display the default disparities between 'age_cat' groups calculated based on the minimum value of each metric, colored based on disparity magnitude. We can see based on coloring that there is a lower level of false discovery rate disparity ('fdr_disparity') between age categories than predicted positive group rate disparity or ('pprev_disparity') predicted positive rate disparity ('ppr_disparity')." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "min_met = aqp.plot_disparity_all(min_metric_bdf, attributes=['age_cat'], significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing disparities between groups in a single user-specified attribute for all calculated disparity metrics\n", "\n", "The treemaps below display disparities between 'race' attribute groups calculated based on predefined reference groups ('race' attribute: Hispanic, 'sex' attribute: Male, 'age_cat' attribute: 25-45) for all 10 disparity metrics, colored based on disparity magnitude." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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AoAJF4ikxFQCAZYip1aBFMgCgkHCzt/Dd3vrlm/1E0iSFR4umSDpL0lBJcvdLktUOknSLu89LbTpW0q+Tug2R9GN3v7myigIAUEDV8VQipgIABgZianVIJAMAChk0ZKhGjFmnsvLd/fAm1rlS0pXRvKck7VBNrQAAKFfV8VQipgIABgZianVIJAMACuleskTzZ07tdDUAAOjXiKcAAJSDmFodEskAgMLK6kMKAICBjHgKAEA5iKnVIJEMACjGqu9/CgCAFR7xFACAchBTK0MiGQBQyPLofwoAgBUd8RQAgHIQU6tDIhkAUEj3ksX0PwUAQEHEUwAAykFMrQ6JZABAQcZjQwAAFEY8BQCgHMTUqpBIBgAUx0AGAAAURzwFAKAcxNRKkEgGABQyaMhQjaT/KQAACiGeAgBQDmJqdUgkAwAK6e5arPmzpnW6GgAA9GvEUwAAykFMrQ6JZABAIUb/UwAAFEY8BQCgHMTU6pBIBgAURpAGAKA44ikAAOUgplaDRDIAoDgGMgAAoDjiKQAA5SCmVoJEMgCgkEFDhmrE6mt3uhoAAPRrxFMAAMpBTK0OiWQAQCHdSxZrwcvTO10NAAD6NeIpAADlIKZWh0QyAKAYMxmPDQEAUAzxFACAchBTK0MiGQBQHAMZAABQHPEUAIByEFMrQSIZAFDIoMFDNGK1tTpdDQAA+jXiKQAA5SCmVodEMgCgkO6uJVow+6VOVwMAgH6NeAoAQDmIqdUhkQwAKMgk+p8CAKAg4ikAAOUgplaFRDIAoBAzyQbR/xQAAEUQTwEAKAcxtTokkgEAhdjgIVqZ/qcAACiEeAoAQDmIqdUhkQwAKMS7lujVl2d0uhoAAPRrxFMAAMpBTK0OiWQAQEEmo/8pAAAKIp4CAFAOYmpVSCQDAIoz+p8CAKAw4ikAAOUgplaCRDIAoDAjSAMAUBjxFACAchBTq0EiGQBQyKAhQ7Tyamt2uhoAAPRrxFMAAMpBTK0OiWQAQCHdXUv06mwGMgAAoAjiKQAA5SCmVodEMgCgIJMGMZABAADFEE8BACgHMbUqJJIBAMXR/xQAAMURTwEAKAcxtRIkkgEAhQwaPEQrjR7T6WoAANCvEU8BACgHMbU6JJIBAIV41xItfGVmp6sBAEC/RjwFAKAcxNTqkEgGABRjkvHYEAAAxRBPAQAoBzG1MiSSAQAFmWQMZAAAQDHEUwAAykFMrQpHFQBQmJm1PTVR9hVmNs3MHqmzfJKZzTazB5LpzNSyyWb2uJk9aWanlfiWAQAoXZF4SkwFAGAZYmo1aJEMAChkOQxkcKWkiyRdlbPOH9z97ekZZjZY0sWS9pE0RdLfzew6d3+0qooCANCu5TQw0JUipgIAVnDE1OqQSAYAFNLdtUQL58yqrHx3v9vMxrWx6S6SnnT3pyTJzH4q6UBJ/SJAAwAGlqrjqURMBQAMDMTU6tC1BQCgGEv6n2p3KsduZvagmd1kZtsk89aX9FxqnSnJPAAA+p6i8ZSYCgBAQEytDC2SAQCFFRwRd00zuzf1+jJ3v6yF7e+XtLG7zzWz/ST9RtL4IhUCAKATShhhnpgKAICIqVUhkQwAKGTQoCEavuoaRYp4yd13bndjd38l9f8bzezbZrampOclbZhadYNkHgAAfU4J8VQipgIAQEytEIlkAEAh3d1LtHDuyx3bv5mtI2mqu7uZ7aLQbdMMSS9LGm9mmygE5sMkvadjFQUAIEen46lETAUArBiIqdUhkQwAKMRUymND9cs3+4mkSQqPFk2RdJakoZLk7pdIOlTSh8xsiaQFkg5zd5e0xMxOlPQ7SYMlXeHu/6ysogAAFFB1PJWIqQCAgYGYWh0SyQCAgiwMZlARdz+8wfKLJF1UZ9mNkm6sol4AAJSr2ngqEVMBAAMFMbUqJJIBAIXY4MFaadXVO10NAAD6NeIpAADlIKZWh0QyAKAQ7+7SwrmzO10NAAD6NeIpAADlIKZWh0QyAKCwqvufAgBgICCeAgBQDmJqNUgkAwAKMskGdboSAAD0c8RTAADKQUytColkAEBh3O0FAKA44ikAAOUgplaDRDIAoJBBgwdr+KqrdboaAAD0a8RTAADKQUytDolkAEAh3V1dWsRABgAAFEI8BQCgHMTU6pBIBgAUY/Q/BQBAYcRTAADKQUytDIlkAEAhJvqfAgCgKOIpAADlIKZWh0QygBXKB49677hZs2YN+fl1NzzZ6boMFDZosIavMrrT1QAAlOw9xxw3buasl4fc/JtriKnLAfEUAFZcHzn2qHGzZ80a8sNfXUdMXQ6IqdUhkQxgqReef37IBeedu+49d905evr0acNGjx69ZNPxmy846tjjpu1/0MH9ooOh87/+zefcvdPVGFC8u0uL5r3S6WoAQJ8y5X//G/L58y9Y9467/jB62vTpw1YbPXrJ5pttuuCDxx497ZB3HNAvYupFX/0yMXU5Ip4CQLYX/vf8kG986bx1/3T3XaNfemn6sFGjRi95zWbjFxz5/mOn7XfgQf0ipp57wdeJqcsRMbU6JJIBSJL+88QTww59++QtR4wY0XXyJ097fvuJE+d3d3fbHbfduurZZ5y20f4HHfxwp+vYjNXXWKOr03UYkOh/CgCW+veT/xm27/4HbzlixIiuM079+PM7Tthhfnd3l91y+52rnvrpszY65B0H9IuYusYaqxNTlzfiKQDUeOrJJ4YdfuDbtxwxYkTXSad88vntJoTr1Lt/f9uqn//sGRvtd+BB/SKmrrY616nLHTG1EhxVAJKk007+v40k6aa77nnssCPfN2vrbbdbuO32O7x60sdPmX7rPX9+VJK+9qXzxr5xlx23Hr/+2IkTt9h0+w8fe/TGM2fMGNxTxhWXXTJm8/XXmZgu9/Zbbl51ozGjd5o29cWlN67+ePddIw/Yd6/Nx68/duKWG6034YB999r8uWefHSpJN1z7m1Fve/Mbt9h64/UnbD1ugwkH7/eW8Y889OBK6TI//9lPr7vz1ptv95p11txxh/Gb7HDckUeM61n2waPeO+5dB7xts57Xjcr7zxNPDNtozOidrvnxj1Y7aPI+48evt/bEPXbaYZubr//tqNIO7grPZNb+BAArmhM//smNJOnPd/zusaPfe/is7bfdeuGE7bd79ZMnnzT973ff/qgknfvlr47dYdc9tx6z4aYTx221w/ZHfuBDG8+YMXNpTP325VeMWXPDzWpi6k233LbqyLU22OnFqdOWxtQ7775n5KS37L/5mA03nbj2uM0nTHrL/ps/8+xzQyXp19ddP+r1e711i3U22XLCOq/ZcsLebz9o/AMPPVwTU08/63Prbrrtjtuttt64HTfcfLsdDjvqA+N6lr3nmOPGTX7HO5fG1Ebl/fvJ/wwbudYGO139k5+v9ub9Dhy/xgabTtx25923ue6Gm4ipTSkWT4mpAFZEnznl5I0k6brb73rsXUccOWurbbZduM1227/6oY9+fPqNd97zqCR98ytfGrvP7rtsve249Sfuus0W23/0+GM3njVz2XXqD7572Zjtxq1fE1PvuPWWVcevM2anaVOnLo2pf/7D3SMP3W/fzbcdt/7EHV6z0YRD99t38ynPhevUm3577ah37PvmLSZstvGEiePHTTjsgP3G//Phh2pi6nlnf3bd3f+fvbsOb+p64wD+3rhVInVvU6NGi7u7+/DBsN8YMGDI2HC34QwY7jrcrbhLoaWuaSqpS5I2dn9/QLsqFtIWeD/Pc581956ce26W5Ms5ufdc31o+nnaWAfU8Xf1+HjHUsWjb+J+GOw7p3b04Uz9UX0xUJMPVUljnxOGDpv27dnT1crD2b92gjteVC+cwUz8KZqqh4EAyQgjS09Kojx8+MOk/aIjM2NhEV3a7QCjUAgBQCIL8c8EiyaXAuyGrN26OCXn9ijv91wn2n7Kv508es4cP6Otub+9QePjkmbDj5y6Gde7WPVOjURMAAAq5nPLjqDGp/168Enrg+KlwnpGRdtSQgeLCwgICAODYwQOm+3fvtJyzaGnC9fuPgrft2R/p6+8vr2x/H6qvyNqVy2yGjxojO3vt5ptaXj7yqRN+ds7NzcHvyI9AUKnA5Jp89oIQQt8SWVo69f7DxyZDBw6QmRgbl8tUofDtGUkEQSGXzJ8teXDzSsiW9X/FvHodzP158rRPytTHT5+xew0c5u7gYFd4/t8jYVfOnAjr0a1zpkajIQAA8uUKyrhRI1Kvnz8VevbYwXAjHk87YNhP4oLCQgIAYN+ho6bbd++3XL5wXsKzuzeDD+35JzKgtl+lmfqh+oosXbXGZtxPI2R3rpx/4+NdSz524hTnnNxczNQP0DdPMVMRQt+ajLQ06tNHD036DhwkM6ogU/mCt/1UgkKQM+cukJy5FhiyfN3GmDfBr7mzpvz6SZn64ukT9qjBA9xt7e0L9x47GXbw9LmwDl26ZWrUmuJ+6tCRo1KPnL0Yuuvw8XAuz0j7v+FDxIXvMvDE4YOmh/butvxjwaKEi7fuB2/auSfSp/b7+6nvq6/IxtUrbYaOHCX799K1N55eXvKZkyY452GmfhBmquHg1BYIIYgMD2OSJAmu7h4F7yv36/SZsqK/XVxdVUqFMnHC2FFirVYbS6VS3/fUYhvX/mXp4uam2Lh9Z3zROm9fv+L99hs0OLtk+U3bd8X5ONv7P7x3j9uidZt8iSSBKRSK1B27dstlMBikk7OLqkHjJorK9veh+orWDx05KrVn3345AAB/LlwkbRrgJ3zx9CmnZBlUMVKnBZUC559CCCEAgLDwCCZJkuDh7vbeTJ01bXJxprqJXVRKpTJxxLhfPilTV67daOnuKlbs2ba5OFNr+/oU73fowP6lMnDPP5vjbMRe/nfvPeC2bd0yP0EiYYqEAnX3Lh1zGQwG6eLspGraqGGlmfqh+orWjx4xLLV/n545AABL58+RetVtLHzy9DmnZBlUHuYpQgiVFhkRziRJEsRu7u/N1AlTpxdnqrPYVaVUKhKn/Dz2kzJ1y/q1ls6uboq1W7YXZ6qXj2/xfvv8MKhUBq7buj2ujruz/+P797jNWrXOl0okTIFQqG7XuWsug8EgHZ2dVfUbNa40Uz9UX9H6QT+OTO3Wu28OAMDMeQulresHCF8+e8opWQaVh5lqODiQjBACkiQ/6rqNq5cuGG1eu8YyPi6WLc/Pp+p0OtCo1USSVEq3s7dXf0wdEWGhnFZt22dXvj2MuWzBXOuQ16+52dlZdFJHgk6nA0lCPAMAoHf/AZkH9+wyb+hby6dB4yY5LVu3ze3Rp282i82u8M4FH6qviLevn7Lob1u7t8eSVuIyJ/QBFPxRHCGEAD4+U89fumK0ev0my5jYeLZcLqdqdTpQqzVEojSJ7mBv91GZGhoWzmnftnWlmRoaHsGcvWCJ9avgEG5Wdg6d1OlAp9NBXIKEAQAwsF+fzJ17D5i7+dX3adq4YU671i1z+/fumc1msyrM1A/VV6S2j3dxptrb2aoBAFJkaZipHwPzFCGE/vORmXr98iWjrRvWWibExbHl8v/6qclJUnpR3+5DIsPDOC3atK00UyPDw5irFi2wfhP8mpuTk12cgYmSBAYAQI++/TMP79tj3jzA16d+o8Y5zVq1zu3Wu082i1VxP/VD9RXx8vEtzlQb27f/PkiTYT/1o2CmGgS+qgghcPPwLCAIAiLDw1iVlYmJjmL8b8RwVycXccH6rdujT12+9mb+shVxAACqd5ffUCgUIKF0TqpV6k+aXGjEoP7irMxM2oLlK+JPnL8Ueubq9TdUKpVUqVQEAICjk7P6ztOXwfOWLI/n8Yx0KxYvtG3frHGtvLy8Cr/PPlRfETqdXtxwyrvA0el0ODHSR8K5pxBC6C1PD/cCgiAgLDyi0kyNjI5hDPlpnKvYxblg15YN0TcvnnmzasmCOACAwnf5RCGI8pmq/rRM7Tv4R3FmVhZt9dKF8VfPngi9dfnc2wx8V4+zk6P69eN7wauWLIg34vF085cst63fom2t3Eoy9UP1FaEzMFM/F87niBBC/3F19yggCAKiIsIrzdTY6GjGxNEjXJ1cXAr+2rw1+tj5y2/mLFoWB1C2n1qaWq36pC/NMUMHibOyMmlzliyPP3T6fOjxi1dL9SsdnJzU1x8+DZ69aEk8l8fT/bVssW3Xls1q5VeSqR+qrwgN+6mfDTPVMHAgGSEEIjMzbb2GjXKPHNhnXtG8wJkZGdRnjx5xNBoNsWLdBknTFi3lnl7ehSnJyaV+LRWJzNSFBQWU7Kys4jpevwpilyzj5uGpePzwvlFF7UiTpVIl8fGs8ZOnpHTo3DXP29evIC83l6rVakt9i7M5HLJ77z45K9dvlJy7djM0LjaGdTfwJu9z60P6IYAAgqB89oIQQt8SczORtnGDerl7Dx42r2he4IyMTOrDx085Go2G2LxmpaRVi2Zyby/PwuSUFEaZetQFBYWUrOzs4jpevnpdKlM9PdwV9x8+rjBTU2Vp1Lj4BNZvk35J6da5Y15tX5+CnLzyGcjhsMm+vbrn/L1uleT21fOhMbFxrJu37pTL1I+tD30+ffMUMxUh9K0Rmplp69RvmHv80AHziuYFzsrMoD5/8rafunj1Oknj5i3kHrW8ClNTSvdThSKRurCggJKT/V8/NeTVq1KZ6uruoXj66GEl/VQZNTEhnjVu4uSUdp0653n5+FbaT+3Ss3fO0jXrJf9euhYaHxfLunc7sIJ+6sfVhz4fZqrh4OnwCCEAAFi6em18366dPDq1aOo5cer0JJ/atRUkSRK3blw32rHlb8vt+w5G6XQ6WLdqhUWP3n2zHj24xzuwe5d5yToaNmkqZ7HYunmzZtj+b+Kvqa9evGAfPbC/VJnxkyan9O/e1fOXUSMdRo4dJ2Ox2bp7t28Zte3YKdfewVFlYmKqObhnt8jO3kElTZTQl86fZ0elUot/hd25bYtQq9EQ9Ro0kvOMjLQnjhwS0Gg0sqL5nQVCkfZD9SH9ERQq0Dl482CEECqyfvXy+Pbd+ng0atXBc8aUSUn+fr4KkiSJazcDjTZt3W55ZO+OKJ1OB8tWr7Xo17tn1t37D3k79pTOy6aNG8nZLJZu2qw5tlMmjE999jKIvffg0VJlpk4an9KpRz/P4WN+dhg/5icZi8XWBd65a9SlQ7tcRwd7lamJiWbn3gMiR3t7VUJiIn3OwqWlMnDzPzuFGo2GaNygntzIyEh78MhxAY1GIyua31kkFGg/VB/SD+YpQgiVt3Dl6vhBPbt6dG/TwvPnyVOTvP3e9lPv3LxhtPufLZZ/79oXpdPpYNNfqyy69uqd9eThA96hfbtL5WWDRk3kLBZLt/DPWbZjfpmY+vrlC/aJwwdKlRk7YVLKkN7dPX8dN8ph+KixMhabrXtw57ZR6/Ydc+0cHFTGJiaaI/v2iGzt7VVJiYn0lYvml8rAPdu3CbUaDVGnQQM5j2ekPXnsiIBGo5EVze8sEAq1H6oP6Qcz1XBwiB0hBAAAru7uqvM3boXWb9wkd/WyJbZd27byGtynp9uNq1dMFyxbEe9ft67yt9//kOzftcOiY4sm3kcPHhBNm/VnYsk6RGZm2mVr1sU+un/fuEvrFl6H9u81mzD1N2nJMnXqN1DuPHg4IjY2mtW/exfPPp07ep4/c0pApzNIKpUKf23+OyYqIoLTuVULr3m/z3SYPH2mlE5nFAeqiYmp9viRQ6KBvbq7d2rVzOvqpYv8NZu3Rovd3FRlj+lj6kP6I0ktqJX5n70ghNC3xsPNVXX32oXQJo0a5C5avsq2efvOXt37DXS7fPW66eqlC+Pr1QlQzp45TbJ99z6Lhi3be+87dFQ05/fppTLV3Eyk3fjXiti7Dx4ZN2nbyWvPgUNm0ydPKJWpDevVVR7bvysiOiaO1aFHP892XXt5njxzXkCn00kqlQrbNq6JCY+M4jRp09Fr2h9zHWZNmyxllLhElm9ioj145LioS+8f3Bu37uB14fJV/vZN66LdXcUVZuqH6kP60TdPMVMRQt8isZu76uSVG6H1GjXOXbdymW3vjm29Rgzo4xZ47arpnMXL4mvXqav8dcbvkoN7dll0b9PC+8Thg6LJM2aVylShmZl20ao1sU8e3jfu1b6117GD+83+9+vUUpkaUK++cuvegxHxsbGsIb27ew7s3tnz4tkzAjrjbaauWL85JjoygtOzXSuvRX/+7jDht+nSktMjmpiYaE8eOyIa3reXe492rbxuXL7EX7lhc7SLa8X91A/Vh/SDmWo4BEnWvPfp60TZ0+puA0KV8bE1r1vZNklmLr53UY1gJzCu9H36pfl6upJnd63/7Oc7Nur8jCTJKmvv9+TIuMb4nYRqtAFb7lf62VekS/H9i2oEjsimSjJK3zwFwEw1pO03nuB3EqqxRrWuV+nnPio1E9+7qMYQWwgwU79yOLUFQgghPRE4hxRCCCGkN8xThBBC6MvATDUUHEhGCCGkF4JCATq33D0kEEIIIfQJME8RQgihLwMz1XBwIBkhhJBeSJ0O1Ep5dTcDIYQQ+qphniKEEEJfBmaq4eB53gghg0tPS6MO6t3DxdXGwr9uLTef/bt3CioqV6BUEhPGjLL3FTv61XK0rT2gR1dxQnwcvWh78KsgVvf2bdw87K1rN/St5X388CHT4JPqLQAAIABJREFUqjsKVCkCgCCIz14QQgh9nBVrNpjVbdra09TaMWDQiNGO7yu7ZMVf5nZuPn5mDm7+Q0aOdVQqC4q/cG8E3ubWb97W08ze1d+vQbNa124E4ik7NYGeeYqZihBCnyYjLY36Y//eLt6ONv6NfWv5HNq7u+J+aoGSmPK/MfZ1PcR+/q6OtYf06SGWJMTTS5Y5sm8vv1X9AC9vRxv/Zv4+3rdvXMdsrU6YqQaDA8kIIYObNnG8PZ3OIJ+FRgSt3vh37KI5f9q/evmCVbbchr9Wmb8OesG7fOteyLM3EUHGxiaa36f8ag8AoFarYfTQweKWbdrmBMckvFy4YlX871N/dQoNCWZW/RGhsjCgEULI8KytLNVTJ45P7t29W/r7yp06e9548/adVqeP7g9/8+zBq4TERObvcxdYAwDI0tKpg38a6zp+7KiU5JjQF+PHjkoZ8tM4cVp6BrVqjgK9D3Z6EUKo6vw+ZaI9jU4nH7wKDVq+bmPssnlz7F8HvSzXT9285i/z4FdBvLM3boXcD3oTZGxsrJk9bYp90fYrF84Zr1u5zHbJ6rVxQdEJLw6ePhfuJBYXVu3RoLIwUw0DB5IRQgaVl5dHuXXjOn/mnLlSY2MTXYvWbfKbtmiZc2T/PmHZspKEeGajps1yrWxsNGwOh+zWq3dWbHQ0GwDgTfBrVkZ6Ov3XaTNSaTQatOvYOc/H1y//cAX1oKpGABCUz18QQgh9lCE/9Mse2L9PNp9vqnlfuf2Hjwn79+qRHlDbr8BMJNROnzwx6cSpsyIAgFt37vGEAoF6+OAfsmg0GowZOTzT1NREc/j4v/yqOQpUOT3zFDMVIYQ+Wn5eHuXOzRv83/6YIzUyNtY1a9U6v3HzFjnHD+4v17+UShKYDZo0zbWyfttP7dKjV1ZczNt+KgDAxtUrrUePn5DcqFlzOZVKBTt7B7WdvYO6ao8IlYaZaig4RzJCyKDC34QwqVQq6enlXfyLrEctL8WThw+MypYdPHxE+rxZM+0lCQl0gUCgPXX8qKBxs+Y5ldVNkiREhoexK9uOqgZBoQCdjVduIYRQTREVHcPu0rF9dtHjugH+ysysLFqqLO3tWcckWfoJJMCb0HDM02qGeYoQQlUnPPQNk0Klkh61vIr7qe6etRRPHz8s108dMHR4+uLZs+wTJQl0Pl+gPXPiuKBhk2Y5AAAajQYiw8M4GRnptOYBvt4qlYrSrFXr7PnLVko4XC5Zti5UNTBTDQcHkhFCBpWfn0/lcLm6kuuMjY21Crm83CW0bh6ehRaWlqom/j6+FAoVnFxclCvWbQwHAPD08i405fM1q5cutpg0bYbs+uVLRkEvnhvVrlM3r6qOBVVCpwNNAd7IACGEagqFUkkxNTHWFj0W8E21AAA5ubnU5k0b56elZ9B37NkvGDqwf9aOvfsFiUlJTGWBEk+9qW6YpwghVGXk+flUDqd0P9Wo0n6qR6G5paWqVT1/XwqFAo7OLsolf60LBwBISU6iazQa4vrlS/xDZ86H0+kMcvTgAeKVixdYz12yXFpVx4PKwEw1GPwHI0LIoHg8nlYhl5f6rsnLy6NyuFxt2bK/TRxvr1KpiOdhUS/DEqTP27TvkDWodw9XAAAGg0Fu3b0v6taN66b+7i5+//y9yaJVu/ZZFpaWqqo6FvQeBPH5C0IIoS+Kw2brcnLzijvCWdk5FAAAE2NjrYW5mXbPP5ujtmzfZWHv4et3/eYt4wb16uRaY57WDPrkKWYqQgh9NC6Pp1UoSvdT8yvpp878daK9WqUiHr4OexkUk/C8Vbv2WcP793YFAOCwOToAgIHDfpTZ2NqpzS0sNMNGjUm5f/uWSdUcCaoUZqpB4EAyQsig3Gt5FWq1WiLsTUjxTfHCQkLYYlc3ZdmykWFhnL4/DMoQmZlpWWw2+fOkybKwNyFcWWoKDQDAv25d5bnrgeEhsZKX/164HCmVSJh+/gH4M2N1IwggCMpnLwghhL4ssYuz8lVwCKfo8dPnLzgCPl9jYW6mBQDo2K5N/pM710NTYsJeHtq9PTY2Lp5Vvy7mabXTM08xUxFC6OO5e9Yq1Gm1RHjom+J+anhoCNtF7FqunxoVHsbp1f+HDKGZmZbFYpNjJ0yShYe+4cpSU2kCkUgrMjNTl7w5G96orQbATDUYfGUQQgZlZGSka96qdfbyhfOt8/LyKLdv3uDeuXXTdMCQoRlly3p6e8v/PXpYmJWZSVWpVMTWjevNhCKR2tzCUgMA8OLpU7ZSoSDk+fmUVUsXW2Skp9N/HDWmXD2oahHE2/mnPndBCCH0cdRqNSgUSkKn1RJarY5QKJSEWl3+Xj6DB/TNOPbvadGLoFesjIxM6so1G6z69OyWXrT9weMnbJVKRWRlZ1MmTJ1pZ2lhru7ZrUtulR4MKkffPMVMRQihj8czMtI1bdkqe/WShdb5eXmUu4E3ufdu3TLtO2hIuf6lh5e3/NTxo8LsrLf91O2bN5oJhCK1uYWFBgCgS8/e6Yf27DJPSU6iZaanU/fu+MeiactW2eX3iqoKZqrh4EAyQsjgVm3YHF9YWEgJ8BD7Tf55nPOfCxYl+Nb2Lwi8fo3nZmPpX1Ru0YpVEgaTqWtez9/bT+zkdyfwpsnmHbujirYfObhPWMfT1c/fXez38N5d4/3H/41gsdl4A4NqRpI60BQqPnv5EIIgdhIEISMIIriS7YMJgnhFEMRrgiDuEwThV2Jb3Lv1LwmCePoFDxshhKrcnwuWWJs5uAZs27XX8tzFywIzB9eAPxcssY6OiWWI7MT+0TGxDACAXt275o4b9WNKt36D3D0CGvraWFupls6fk1RUz+p1Gy1t3bz93GvX95WlpdGPH/gva1H10TdPMVMRQujTLFuzIb6woJDS0MfDb9rEn51nzluQ4ONXu+D2jes8H0eb4n7q3KUrJAwGU9e2UT3v+p5iv7u3Ak3WbdtRnJ3TZ89L9vT2kXds2tC7Q7NG3u6enorfZs1Orp6jQgCYqYZEkGXv2lwDvE6UfVUvIvq++Nia161smyQzF9+7qEawExhX+j790vy8PMjLR3Z89vOtfJo+I0my0vYSBNEcAPIBYC9Jkt4VbG8MAKEkSWYRBNEJAOaRJNng3bY4AKhLkmR62ed9D46Ma4zfSahGG7DlfqWffUW6FN+/qEbgiGyqJFP1zVMAzFRD2n7jCX4noRprVOt6lX7uo1Iz8b2LagyxhQAzFb7uTKVVdwMQQgh9Cww3DxhJkrcJgnB8z/b7JR4+BABbgzUGIYQQMijDzquJmYoQQuj7gZlqCDiQjBBCSC8EhQo0Fre6m1HkJwC4WOIxCQBXCIIgAWArSZLbqqdZCCGE0PvVsDwFwExFCCH0lcJMNRwcSEYIIaQXUqcDbWG5mxt/ClGZeaG2fU6QEgTRCt4GdNMSq5uSJCklCMIcAK4SBBFGkuRtfRqLEEIIGcIXyFMAzFSEEEIIM9WAcCAZIYSQfggAIPS6bCj9fXNPfVQTCMIXALYDQCeSJIvvtEySpPTdf2UEQZwEgPoA8FUENEIIoe+M/nkKgJmKEEIIYaYaEKW6G4AQQujr9jajKZ+96L1/grAHgH8BYChJkhEl1nMJgjAq+hsA2gNAhXfURQghhKqbvnmKmYoQQgi9hZlqOHhGMkIIIT0RX+LX3sprJ4hDANAS3l5alAgAcwGADgBAkuQWAJgDAEIA2Ey8bYfm3S/HFgBw8t06GgAcJEnyksEaihBCCOnFsHkKgJmKEELoe4GZaig4kIwQQkg/FAJoLLbBqidJcuAHto8CgFEVrI8BAD9DtQshhBD6ogycpwCYqQghhL4TmKkGgwPJCCGE9KMjQVtYUN2tQAghhL5umKcIIYTQl4GZajA4kIwQQkhvX2IOKYQQQuh7h3mKEEIIfRmYqYaBA8kIIYT082XuiIsQQgh93zBPEUIIoS8DM9VgcCAZIYSQXgiCYvD5pxBCCKFvHeYpQggh9GVgphoODiQjhBDSC0mSoFUVVnczEEIIoa8a5ilCCCH0ZWCmGg4OJCOEENIfzj+FEEII6Q/zFCGEEPoyMFMNAgeSEUII6Q2nn0IIIYT0h3mKEEIIfRmYqYaBA8kIIYT0QlAoQGOwqrsZCCGE0FcN8xQhhBD6MjBTDQcHkhFCCOmHJEGrVlV3KxBCCKGvG+YpQggh9GVgphoMDiQjhBDSH143hBBCCOkP8xQhhBD6MjBTDQIHkhFCCOmNwJBGCCGE9IZ5ihBCCH0ZmKmGgQPJCCGE9Id3xEUIIYT0h3mKEEIIfRmYqQaBA8kIIYT0QhAUoDGY1d0MhBBC6KuGeYoQQgh9GZiphoMDyQghhPRCAglaDd7IACGEENIH5ilCCCH0ZWCmGg4OJCOEENIbzj+FEEII6Q/zFCGEEPoyMFMNAweSEUII6Q/nn0IIIYT0h3mKEEIIfRmYqQaBA8kIIYT0QhAUoNJx/imEEEJIH5inCCGE0JeBmWo4OJCMEEJIPyQJOo26uluBEEIIfd0wTxFCCKEvAzPVYHAgGSGEkN5w/imEEEJIf5inCCGE0JeBmWoYOJCMEEJIPwQAQcH5pxBCCCG9YJ4ihBBCXwZmqsHgQDJCCCH94a+9CCGEkP4wTxFCCKEvAzPVIHAgGSGEkF4IggJUGqO6m4EQQgh91TBPEUIIoS8DM9VwcCAZIYSQXkiSBJ1GU93NQAghhL5qmKcIIYTQl4GZajg4YUglwkKCWf06tPao42wb0Kaur09l5W5fv2rka2dRJ02WioPyFZg8ZqTjyP69xNXdDoSQgRHE5y/omxeXLmfNOB7kMeSfhwH/2/e00kx9Hp9l9MPWB3WyFCrM1Ar8dSXcccGZEMxUhL5l+uQpZup3ISEqnDV/zGCPcR2aBPzWv3Olmfrq4V2j0W3q18nJSMdMrcDf82Y4rpoyDjMVoW8ZZqpBfNeh8vzJI86Ivj093T1ryY9euh5WctvapYusmSyW7sTVwGAOj6errI4GTZvnX374PEgoMqsxP3V0a9G4liQuln300vVgN89ahdXZlrnLV0tIkqzOJiCEqgDeEReFJedy5p8J8XQQcuTL+vqVytRDj+KtGVSKbkU/v2A2nVpppvrYmORvHBwQZMqm15hMnXz4Ra3U3AL20j6+wQ5CbrVm6ujmzpLq3D9CyPAwTxEAQOTrl5yVk8d62rq4yuds3V8qU//9Z5M1g8HUzdt+MJjF5lSaqZ4B9fOXHzoTZCwQ1phM/XN431qypET2nK37gm2dXas1U4dOmSUB7Kci9E3DTDWM7/qM5GP79oi69u4ri4+NZYUGv2aV3JaUKGH5+tfJd3QRq8wtLCsMX5VKRTCZTNLKxkZDqSF3g3xy/x4nJzuL1qZTl4wje3eLqqsdarUadDodmPL5Wr5AoK2udiCEDI8gCKDQ6J+9oG/DtdBUUTM3M1lyTgErNj2/VKam5RWyxBZG+dambBWfy6gwU9VaHUGnUUgRj6mpKf/oC0nK4eQXamj1nAQZV9+kVlumarQ6IEkSjFh0rRGLjpmK0DdK3zzFTP123Dr3r6hhu84yWaKElRAZVipTM1KTWc61vPMt7RxUppWczKRRqwk6g0EKzC1rTKaGv3zGkefl0gKatswIPHOi+jJVowGSJIFnbKLlmZhipiL0jcJMNZzv9oxkhUJO3LxySfDP4ePhhUol5ei+3aK5y1cnAgD42lnUAQCIi45i79+xzWroqLHJ/YYMS+/esonP7GUrY08dOSQKCwnmjft1qsS9llfBLz8Ocbv+7FWQmbmFBgDg0d073PUrlthEvHnDpVCppNjdXbFi07ZYGzs79ZXzZ413bFpvlRAbwwYgwM3TUz5zwRKJp7dPwbt9Mrq3bOKzcPW66OMH95mFBr/mmVtYqqbOnidp07Fz7oeO6/jBfWatO3TKbNu5a/asSeOdZy5YLKXT//sADOrawd3eyUXJYrN0l8+eEVGoFHLYqLHJw8eNT1swY6rdjcsXBRwOVztm0mTpD8NHZhY9LzEhnr509iy7548fGgMAeHr75P++cKnE1cOzEABg5fw51oHXrvAHjfgpZfeWzVay1BTm3dfhL+b89qt9TnYWbefRk1EAADqdDv5es8ri9NHDZukyGcPY1ETTrnO3jD8WL5MCACyaNcPm7s3r/DRZKsOUz1e3bNsh67e586VsNocsuZ8R48YnbV33l01Odhbdr07d3CXrNsUXvf4IoapHavHf4d+zArWWeBqXKfiza61wlUZHuRqSKhrTgpcIAPDD1gd1AACSXiezL75OtursY5XctpZF+pQjL31GNXOODQyXieLS5bw+dWwlDkJuwYpLYW5/D60TxOe8HXAOluZwDz9OsInPkHMpBEHaCTiKSW1dY82MWOqHMRnGp19IrVJyCtgAAPZCjvzHJo4SJxGvAAAgKVvJmHLkpc+4li7RN0JTzWLT5Tw+h6Ea0shBUt9J+MFMvf4m1ayeoyCzvpMge9PNKOcfGztKadT/fjj+499X7pYmbCWTRtE9iM4QUQggO/taJ3fzs07753a03ZO4TAGLRtX2qmMr7eBlWZypstwC+q57sXZhyXnGAACOIm7+iCZOEnshpxAAYO/9OOtn8Vn8jt6WKWeDkqyy5CrmjhH1XmwJjLbPL9DQ5nT3igJ4O/fb8aeJFoERMrNshZrBZdI0DZwEGT81c5YCAOy4E2PzMiGbn6VQMYxYNHUdB0HW0EYOUiadSpbcT/fa1kknniXa5Bdq6G4WRrnjW4vji15/hFDVwjxFhUol8fLebcHUVZvCVYUFlMCz/4qGTZmVCAAwuk39OgAAKZJ49rUTh63a9hmY3KJb7/TZP/bzGTL599h7F8+IJNERvK5DR0nsXFwLNvwxxW3V0QtBJkKRBgAg9PkT7skdm20SYyK5FAqVtHZ0VoyZvThWZGmtfnrruvHFQ3usZNIENgABts5i+cBfpkrsXT0K3u2TMfvHfj4/TpsTfef8SbP4yHCeqchM1W/cJElA05YfzNTb506a+TdpkRnQrHX2jmVznX/45TcpjfbfcMTin390t7C1VzKYTN2TwGsiCoVCtus7KLl9/yFp+/5aYvfi3i0Bk83Wdh0yUtqqR7/iTE1PltIPblhlF/n6hTEAgL3YI3/ghN8kts7iQgCAI5vXWAc9uMNv02tAyuWj+6yy09OYa09ff7Fn5UJ7eW4O7be/thRn6pk92yzuXz5nlpOZweDwjDV1mrfOGDxpuhQAYP+65TbBj+7zczLTGVxjE7Vfo2ZZ/f83WcpksciS++n4w9Ckc/t22Mhzc+kuXj65P82cH1/0+iOEqhZmqmHUjNNoq8GZY0f4ZhaWKp/aAcru/QZkXj1/TqhSqQgAgMsPnwfZ2NkV9Bk0JPXyw+dB4yb/llL0vC1rVtn0Gzws7fjlG8Edu/fMLltv0POn7J+HD3K3sbMv/OfI8bDdJ06Hte3cNVOrURMAAEq5nDLox59S9548F7r14JFwLo+nnfTTMHFhYWGpn4q3rF1lM/DHn2SHzl1+417LSz57ykTnvNzc9/7/ys/LowRevcLv0f+HjMbNW+YzGEzy0plTpmXL3bxyUcjl8nR7T54NHTRiVMqm1Svsxg0eIHZwci7Yf/pCaPtu3TNWzJvjmJSYSAcAkOfnU37q39udwWTqth48Gr7r+OkwochMPXbwADd5fn5xm2TJyYzLZ08Llm/aEnPgzIUQFptd7lKrpbNn2ez7Z4vVsNHjko9euhaybP3f0ZbW1qqi7WwORzdn2arYE1duBk+fuzDh5pVL/HXLFluVrEOWksy4cv6MYPXW7dHrd+yNiI6I4KxaMNfmfa8NQsjAcO6p79qtiDQ+n8NQic2NlM3dzDIfxWYI1VodAQCwcXBAkJkRs6C1h3nqxsEBQX3r2hZn6olnEpu2nhZpy/v6BTcWi8plamRqHnvZhVB3cyNm4eyuXmHzeniFNXASZGp1JAEAUKDWUjp4W6bO7+EdOquLZzibTtWuuhQuVmt0pd5YJ54l2nTwspIt7uX7xkHIlW8JjHZWqDTvzVSlSkN5Fp/Fb+FuluFnZ5pPp1LI+9EZ5TL1aVymkEWn6ub38A7t6G2VcuypxG7J+TdiSxN2wcKePqENXYQZe+/HOablFdIBAJRqLWXB2RB3OpWim9XFM3xud68wEzZdveTCGzelWlvcpkx5IeNBdIZgYhvXmEW9fEIYVEq5TN15N9bm/Oskqy4+1snL+viGTGgtjhbxmMWZyqRRdKObO8eu6OcXPKyxY8LTuEz+occJpTI1S65iPIzOEExu5xY9rYN7RGKWgrPvfhxmKkLVBedz/O7dv3KObyoUqZw8vJSN23fJfHb7hlCjftuXXH7oTJDQ0qqgWZeeqcsPnQnqNnx0caae3fuPTYtuvdPmbDsQXL9V+3KZGv3mNXv9rF/dRVbWhVNXbQ6bvnZrWJ3mrTO1Wi0BAFCoVFJa9+yfOmPd9tDJKzaEszhc7cbZ08Tqd33k4v3s+8emVc/+sj82735j5+Iq371igbNCnv/+TJXLKUEP7vAbd+ia4VWvYT6NTief3LxSLlNf3AsUMtkc3Yx1/4S27tU/5fTurXZrZ0wQW9jaF/y+YUdo3RZtM45sXuOYkZpMBwAoUCgoK6f+z53OYOgmr9gYPm3N1jBjvkC9dsYEtwKForhN2ekyxpPAq4LRfyyK+X3jrhAGk1UuUw+uX2lz9fghq3Z9ByXP3rIvZPQfC6IF5hb/ZSqLpRs65ffYuf8cDB7w8+SEl/dv8//dvqlUpmZnpDGeBl4XjJu7LPqXRasikuJiOEf/XouZilB1wUw1iO/2jOQzx46YdejWIwMAoGmrNnlMFlN34eQJ054DBmZZ2dhoKFQacDhcnZWNjQYAICNNBgAAvQcOkfUcMDCrqJ7YqMhSlxrt2Lje0lnsqlixaWt80bqis40BAHr0/6FUqK/YtC2uibeb/9MH97lNWrbKL1rff9iI1M49e+cAAEydPU/auUl94avnzzgly5R1+thhvsjcXO1ft74SAKBd564ZJ48cFHXr06/UPu0dnZTT5i5IAgBwcXNPPbhruyWNRiPH/jpVBgAw5Y+5yUf27rZ8fO8Or+eAgVknDx/kkyQJq7dsjyuawmPphr/jm/t61L589rRJ74GDswAANBo1sWLTtlhLa+sKf3HNy82l/Htov8X4aTMlQ0aNyQAAELt7FDZs1lxeVGbqn3OTi/52dBGrpImSlMO7d1jMnL84qWi9TqslVmzaFmfK52sBALr16Zt28fTJars8CiGE8099726Hy8wauQgzAAD87U3zGFSK7l5kumlLD/MsEY+poRAEsOhUnYjH1AAAZCvUAADQ2sNC1tLDvDhTpVnKUpl66oXU0obPVkxs61acqUVnGwMAtHQ3L5Vvk9q6xo3c9cT/TXIu18/OtDgv29eySG3iKsoBABjayEE68dALYWRqPqdkmbICw9P4phyG2t3SWAkA0MBJkBEYJhM1dzMrtU9LE5ZyWGPHJAAAOwE79VJwsiWVQpB96tjKAAAGN3RIvhqSahkizeG19DDPuhkq45MAMLmdW1zR52ZCG9f40Xue1H4QnW7S2sMiCwBAqyOJSW1dY4XvXrOyFCoN5WaYzKJ/PTtJZ1+rjLf75xT62JoWZ+qQRo7FmWptylal5RWmXA5OsfixidN/mUqSxMS2rnFFU2Y0czVLux+VjpmKUDXBPEX3L583q9uyXQYAgE+DJnl0BkP36Pol0yYdu2UJzC01FAoVmCy2TmD+dvrF3MwMAABo1rmHrEnHbsWZmpwQWypTLx7cbWlp76gY8+fi4kwtOtsYAKBJx66l8m3Mn4vjJvVo7R8e9IzrXa9RcV626t43tUGbDjkAAP3HTZL+PqSXMObNa07JMuWP6RzfWCBUi739lAAAdZq3ybh38YyoUbvOpfZpbmOnHPDz5CQAABsnl9QbJ49aUqk0suvQn2QAAP3GTkwOPHPcMuzFU16Tjt2y7l48zQeShHFzlxVn6qg/FsZP7tWu9pPAqybNOvd4m6kaLTFm9uJYgVnFV7Aq5PmUOxdOW/QcMVbSts/AjHf7L/QMqF+cqf3GTirOVEs7B1VGSnLKjVPHLAb+MrVEP1VHjJm9OI5nbKIFAGjYrnPa4xtXMFMRqiaYqYbxXQ4kR4WHMd+8fsVb+ff2GAAACoUCbTt1yTx19LCo5CBxRXz8A+Tv2x4VHsZp1rpNuV+Ai0RHhDPXLl1kHRYSzM3NyabrdDogdTqQJiYwSpbz9PJRFv1tbWunBgBIT5PRAAC6NG3gJUtNYQAAePnWzt994nQkAMCZY0dEHbp2zyh6Xu+BgzP6dWhtJZVI6DZ2b+sAAHB2dSuum0KhgKkpX+Pi9t86BoNB8ng8bUZ6Gg0A4M3rIK4sJZnZwN3Jv2QbVYWFlIS4WGbRY6HITF3ZIDIAQFjwa5ZarSaatWpT6aVPp44c4h/avcM8SZrIKlAqKTqdjtDpSv9gbGZhqSoaRH73WJ2TnY0T2CBUXQgCKNTvMk4QAEgyFczYdDnv13ZuMQBv/8FW30mYGRguE5UcJK6I2IL33kyVZCo4/vb8SjM1MVPBPPg4wTouXc6VF2roJAlAAoAsr6BUpjqKuMUZZ2bEVAMAZCtUNACASYeee2XJ1QwAAGczbv68Ht6RAAC3ItJERYPjAACtPCwyZp4IskrLK6CbGbGKM9XGlF1cN0EQwGPRNLZ8TvE6OpVCshlUbY5STQMAiE3P52bJVczhOx6XylS1VkdJzSkozlQTNkNd2SDy23rkLI2OJGrb8SvN1MAwGf9SSIp5el4hS6XRUXQkSZS9rxCfw1CVnHdZwGWo8ws1mKkIVQfM0++eNDaaGR8Zxhs7Z0lxpgY0a5V579JZUclB4oo4eXq/N1OlcTEcnwaNK83UpLgY5ontG60lURFceV4unSRJIEkSMlKSS2Wqvat7ccYJLa3dsbImAAAgAElEQVTVAAC5mRk0AIBZQ3t5ZWekMwAAHN0886ev3RYJAHD/yjlRvZZtizO1aafuGQvGDrFKT0mii97VAQBgbe9UKlO5xsYaK8f/1tHodJLN4WpzszJpAADxEWHcrPQ05vguzUtnqkpFkUkTizPVmC9QVzaIDAAgiQxnaTVqwrt+40oz9d6ls/wbp46aZ6SmsFSFBRSygn6qqVCkKhpEBgAwFZmp5Xk5mKkIVQfMVIP5Ll/Vw3t2iXQ6HXRpWt+3aF1RvyohLpZu7+ikruSpwOVwK70z7sf45cchYpG5uer3hUvirWxs1TQajezfsY1X2UuG6HR6cVev6CxgUvf2Ut3New9Gqt9d3lQ0fURYSDArNPg1L+xNCG/n5g3Fl8/odDo4um+XcPKsOcWXPdFotNLdSIIAGo1ebl1RMOp0JDiJXRUrN2+LKXs8fOF/dwFmVjCVxad4dPcOd970Kc5DR49LatGmncSEz9deOX/WdOva1bYly1HLtJ8o0VaEUDUgSdDiZ/C7dSUkRaQjASYdevFfpr77lk7JKaBbmrAqzVQWnarXG2fFpTCxKYeuGtHEKV5kxFBTCQo580SQl0ZLlspUGpVSnBtFZyaQJBAAADM7eUZq3k2VwaS9nT4iLl3OikuX8+LT5bwzL6X/ZSoJcCUkVTi4oUNxplIpRJmhWaKCdQC6dy+KjgSwNmUrJrV1K5epxmx6caYyaOWnsvgUwdIc7rbb0c6dfaySAhz4Eh6Trn0Uk2F64nliqUylVNBWvIk9QtUE8/S7d/PMcRGp08Gsob2LM7XoS1kmTaSb29hWnqlsjl5vng1/TBGbCISqgb/8Fi+0sFRTqDRy4dihXkXTahShlug3/pepb3N00tJ1kUXlmay300ckRIWzEiLDeZKoCN7Fw3uLM5XU6SDwzAlh3zETijOVUrafCgRQqeX7rkV9P5IkwcrOUTFm9uJymWpkyi/OVDqTqddrE/r8CXfP6sXO7foOTPJt2EzCNTLWPrt93fTcvh2lM5VKLd1PBQJIDFWEqgdmqsF8dwPJarUarpw/I/xp/ERpm06lL6X549dfnI/u2yP6bfa85Mqe/yFidw/F88ePjCralp4mo0olCayZCxYntGjbPg8A4PmTR5yieak+loOzi6rsuqP7dovcPGvJ5638K67k+ounT/EvnDopmjTzz5SiAelP5entowi8ekkgNDPX8AWCz56t3N3Lu4BOp5N3bl43dvXwTCu7/emjBzyByExVcnqLPdv+ZpQthxCqWUiCAmoCT7b4Hmm0OngYkyHsUdtGWt9JUCpTN92Mcr76JkU0tMT0Cp/KTsBRhKXkVpip2QoVVZZXyBrexDGhjoMgDwAgLDmXo3s3QPyxrEzZ5TL16psUkb2AIx/bwiWu5Pr70en8e1HpokEN7FM+91I5JxFX8Sw+U2DKoWtKngn8qRyF3AIahSBfSrKM7YWccpkampTLM2bTVSWntzj/KgkzFaEaDPP0+6bRaODZrevCTgOHS/2btiqVqTuXzXMOPHtC1H/cpM/OVBtHZ0Xk65cVZmpOZgY1PSWJ9cMvUxP8GjXLAwCIfP2So9N9Wj/Vwta+XKbeOvOvyNZZLB829c+4kuuf3LzCf3zjsqjP6F8+O1Ptxe6Kl/dvC0wEQg3PxPSzM9VO7FZApdHJ4Mf3jW2dxeUyNeLVc56xKV9VcnqLq8cOYKYiVINhphrOd3ezvctnT5vm5eTQBv80Os3bz7+g5NKmY5fMS6dPivQ5u3Xk+AkpMZERnOnjxzoEPX/KDn8Twty7bYsoITaGwRcItUYmJprjB/aJosLDmLdvXOMt+n26A7XML5efSqVSEVfPnxW269Its+wxDR45Ol2WmsK8ff1qhf9o+Bh9Bw/NNOULND8PHSi+feMaLzYqknHn5nXevOlTbCPDQpkfruEtYxMTXc8Bg1L/Wb/GZv+ObcLoiHDmk/v3ODs3bzADAHByERdkpqcxju7bLYiJjGDs3LzB7OaVS4LPbTdCCCHDehCTYSov1NA6+VimuZjzCkou9Z0EmfejMkT6nInTo7ZNijRLyVl/LcIhMjWPHZ8hZ55/lSRKyVEyjFl0LZdB1VwPlYkkmQrmi4Qs3o67sQ4UAvTKVLVWRzyKyRQ2dBZmlj2mjt5W6VlyFfNZfNZnZ2qbWhaZRky6ZumFUPGLhCyeNEvJeJGQxdt2K9o2IUPx0ZnKZdJ0LT3MU08+l9pcfJ0sTMxUMEOScjinX0rNAACsTdkFuUo142pIiiAxS8E4/VJq9jQuEzMVIYRqqKeBV00VeXm0Nr1/SHPyqFVQcglo1jLzyY0remVqp4HDU5Lj4zjbFv3hEP3mNVsSHcG8cuyAKFUqYRiZ8rUcnpHm9vmTImlsNPPVo3u8A+uWO1Ao+vVTNWo18ez2dWGdFm0yyx5Tm94D0rPT05hBD+58dqY279ork2dsoln7+yTxq0f3eMkJcYzXj+7z9q5ebJsYE/XRmcrhGemaduqWev7ATptr/x4WJsXFMMNfPuNcPLTHDADA0s6xIDc7ixF45oQgOT6WcfHQHrOX929jpiKEvkvf3UDyqSOHRD7+AXkiM/Nyv1h27d03U5aawrhx+aLx59Zfu0495fqd+yIS4mJZI/v18hzeu5vnlfNnBTQ6g6RSqbB4zYaYmKhIzoBObb2Wz/3T4X9TpklpdLpeAX3x9EmT3JwcWpdefcrNm2Vta6v29PbJP3Fw/2dP8s/l8XS7T5wJs7K1LZw1cbxLn3atvOdPm+KUl5tLM/3EM5RnLVoq/WH4yJTdWzZb9+3Q2mv6+LHi1OS3Z0h17tk7p9+Q4Snrli+xG9C5ndeju3eMf/p5QtKH6kQIfdsIgthJEISMIIjgSrYTBEGsJwgiiiCIVwRBBJTYNpwgiMh3y/Cqa/X3ITBMJhKbG+WZchjlsqCpqygzS6FiPInN/OxMdbM0Uk7r6BGRklPAmn8mxHPu6WDPhzEZAiqFQlIoBPyvlThGmqXk/H7ildfue3EOfevYSmkUil6Zej8q3UReqKE1dRWVy1QzI6baScTNvxEm++xMZdOpunk9vMJEPGbhxhuRLtOPB3lvuxXjJFdpaEZs2idl6sgmTtL2XpYpZ4OSrGccf+W1/lqkODNfxQAAaOIqymnjaZFy+HGC3awTr72CpTnG3f1tMFMR+s5hptZc9y6eFTl5euWZCITlsqBh206Z2RlpjBd3Az87U128fJW/LFoVIZMmslZNGee5fNIYz2e3bwhoNBpJoVBgxIy5McnxcZyF44Z5Hd642qHbsNFSKr3sVBOf5vGNyyby/DxawzYdy2Wq0MJKbe/qkX/nwqnPzlQWh6Obvm5bmNDcqnDH0rku80cP8t67erGTIj+PZvSJZygPmjhd2qpHv5TLR/ZZzx8z2Gvboj/EWekyBgBAgzYdclp07Z1ycsdmu4X/G+YV9uKpcccfhmGmIvSd+14zlaiJc/a8TpQ9re42IFQZH1vzupVtk2Tm4nsX1Qh2AuNK36dfWkBAAHnnzp3Pfj6Px3tGkmSl7SUIojkA5APAXpIkvSvY3hkAJgBAZwBoAADrSJJsQBCEAACeAkBdeDsV/jMAqEOS5HtvVvMtOTKuMX4noRptwJb7lX72FelSfP+iGoEjsqmSTNU3TwEwUw1p+40n+J2EaqxRretV+rmPSs3E9y6qMcQWAszUrzxTv7s5khFCCH15hrzhJUmStwmCcHxPkR7wNrxJAHhIEIQpQRBWANASAK6SJJkJAEAQxFUA6AgAhwzWWIQQQkgPhr6BNGYqQgih7wVmqmF8d1NbIIQQ+ubYAICkxOPEd+sqW48QQgihimGmIoQQQl/GN5mpeEYyQgih6iYiCKLkJXfbSJLcVm2tQQghhL5emKkIIYTQl4GZWgEcSK7BMtLTqL9P/NnxxePHxkYmJppxk6dK+w8Znlm2XEFBATFv2mS7e4E3+BqNlqjl45s/f9WaeFt7BzUAwD8b1ppdOPWvKD4mht2iXfvMNdt2xpWtY/KYkY6fsh4hhEqiUPS6wCX9fXNPfQQpANiVeGz7bp0U3l42VHJ9oB77QV8plUZHbL4ZZR+WkmusUGlpIi6jsF89u8RGLqLcisoffyoxvxScYqXW6ii17U2zxrdyjWfQ3t7E71ViNnffg3j71NwCloDLKBzRxCnBz840v+Tz/7oS7jilvXtc2XorW48QQkX0zFMAzFRUBXKzMqnbl8xxjAp+aczhGWm6DRstbdGtd7l+6pHNa6xvnDxqWfKmfbP/3hti5eCkAgCIDnnF3rN6sWNakpRlZm1TMHzqH3EuXr7KorIpknjGrbP/igb8PLnUje1ePbxrlJYkZbTpPSDDkMeJEPq6YaYaBk5tUYPN/W2yPZ1OJ288fx20cPW62NUL59uHvHrJKlvun/VrzENeBfGOXb4ZcuP5qyAjY2PNwpnT7Iu2m1taqUf+PCG5fdfu6SWfp9PpYOaE/9nHx0QzAADSZKm06ePHOsjz8ykzfhnnkJ4mowIAxMdEM2b8Ms7B0PPLIIS+Xjqd7rOXL+AMAAx7d1fchgCQQ5JkMgBcBoD2BEHwCYLgA0D7d+vQd0ar0xECLkM9p5tX+O4R9V/0qWsn/Tsw2iUpW8koW/ZRTIbxpeAUq1ldPMM3DAp4lZ5XyNz3IM4aACBHqaauvRrh2tnHKmXXiPovOvtYpay9GiHOVaqpSrWWsv5ahEO2QkUFAEjOVjLWX4twSM5WMrYERtsp1VoKAECULI+97Va0bdW+Agihr4U+eYqZiqrKnlWL7Gk0Grnq+KWgH6fPiT22ZZ19XHhouX4qAIBPwyZZmy/ceVG0FA0iq1Uq4u95M8R1W7TNWHf6+sv6rdtn/D1vhlitUhGhz59wj2/bYKnVaAgAgNeP7vOOb9tg+eDqBdPLR/eLiuq+f/mc6eUj+0QV7RchhDBTDQMHkmuo/Lw8yr1bN/mTZv4pNTI21jVp2Sq/YdNmOScPHxKWLSuVSJj1GzXJtbS21rDZHLJj955Z8bEx7KLtPfoNyO7Wp1+2Cd9UU/J5FAoF/jf5t5S1yxZbB798wZv726/2Q0aNkXF5PN3Q0WNT5/72q0Pwyxe8tUsXWY/7dWryF/g1ByGEPhlBEIcA4AEAuBMEkUgQxE8EQYwjCGLcuyIXACAGAKIA4B8A+BkA4N3NCxYCwJN3y4KiGxqg7wubQdMNa+yYZG3KVlEoBDQRi3IEXEZhRGoep2zZWxFpwsZiYbqzGa/AmE3X9gqwTXoQnSECAAiW5vCMWDR1Kw/zLCqFgPZelplcJlVzJzKNz6ZTdV18rVO3BEY7RMnyeQcfJVj3qWOXbGXKVjVyEWatuRLuFJGaZ3QpOMWsX127lKp/FRBCCDMV6U8pl1OCnzzg9x49Xsrh8nTe9Rrle9apn3P30ply/dT3ef3onpFOpyO6DRslYzCZZNchP8lIAAh6cMfIM6Ce3NZZXLDvryX2L+4F8l89vGvSefAIWcO2nbKpVCp5aucWm8Azxy1k0kRm6154VjJCqHp8r5mKU1vUUJHhoUwqlUq6edYqLFrn6llL8eLxI6OyZfsNHpq+fN6f9lKJhG7K52vPnzwhqN+4ac7H7osgCCBJkiAIAigUCllyG0mSBEGhfIlLAhBC6LOQJDnwA9tJABhfybadALDTEO1CX6+M/EJael4hy1HILSi7LTlbya7rwM8ueuxizlPmF2poRWcak2Tp8iQASDKV7NJrgSAIAApRft8UgiChgvUIIVQVMFORvqSxUUwKhUraOrsW91NtnMSKqOCX5fqpAABhz5+YTOjWqraRqam6Weeesk4Dh6cBACTGRLEs7RyUBPFfKFrZOSilsVHsui3a5BJAFCcuhUIhiaLwLFGeoBBQ8vkIIVSVvtdMxdHBGkqen09lczilzqU3MjLWKhVyatmyLu4ehWYWlqpOjev6NvFy9U+Ii2FP+v2PpLLlytLpdPD3mlWWk2bMSvLxD8ibt3JNwt5tWyzk+fmUvdu2WMxftTbexz8gb9KMWUl/r1lliVNbIIQqQ3n3g9PnLAhVJbVWR6y9FuFc30mQ4SgqP5BcqNFROEyatugx793fCpWW6mVtnJ9boKZfe5MqUGt1xKXgZGFmvoqp0mgpSrWWcv5VksW4li7xYnNe3sD69knHnyVaJmcrGQ+iM/iT27vHulkY5bWrZZF+/KnEsiqPGSH09dAnTzFTUVUoUCioTDa7VMeQw+VpC5XKcv3Uhm07Zc7bcShk7alrL4f8OjPuyrEDVrfOnRQAABQWKKgsDldbsjyLw9UWKBTU0OdPuJLoCM7QKbMS/Ju0zPKq3yj3wsFd5g+vXjDVqtVEjxFjpS279001s7IpvP7v4U86Exoh9P3ATDUMPCO5huLyeFqlQlHqnZufn0dllwlbAIA5v02yV6tVxM0XwS+5PCPdplXLLccM7Od64mpg2Pv2QaFQYNmGvxOKHpuZW2hWbNoaDwBQ9F8AAAdnF1XJcgghVBJJEKChYpygmk+nI+GvK+FONAqh+18rcYW5xqRRdAqVprgzLC/UUAAAOAyq1pTD0E5q6xZ14GG83YGH8faeVkY5rhZGuQIuQ8WmU3UT27oVZ6eVKVs1oY1rAgDAuJYukqL1rhZGSlcLo0TDHSVC6GuFeYq+BiwOR1uoVJbqpyoV+VQmm12un+rg5lH8g22tOg3kzTr3kD2/c4PfomuvTCaLoy1Qlu7vFigVVBaHo/UMqCf3DKgnT5HEMwAAfBs0yfdt0KT4xravHt41AgBo3KFrNiCEUAUwUw0Hh9hrKFd3z0KtVktEhoUyi9ZFhr5hO4ldlWXLRkdEcLr3HZAhFJlpWSwWOfLnCbLIsFBumiz1oz81a7btjPuU9QghVIQkAbQ68rMXhKoCSZKw9lqEY65SQ5vRyTOaTqVU+OazMmUr49MVxXMnR8nyOTwmTWPKYWgBAPzt+fmr+tcO3TWy/ssp7d1jZbkFLFcLI3nJOqa0d4+rqO7K1iOEEID+eYqZiqqCjZO4UKfTEokxUcX9VGlMFNvS3rFcP7UsgiDezgkFALbO4oKUhHgOWWLOqJSEOLaNk7i4Hks7B9WAnyeXu9LWt2HTvDa9cW5khFDlMFMNBweSayiekZGucfOW2euWLbbOz8uj3L8VyH1w57Zprx8GlgtM91pe8nMnjgmzs7KoKpWK2LNlk5lAKFKbmVtoAADUajUolQpCp9UROq2WUCoVhFqtrvqDQgh9s0jy8xeEqsLGG1H2KTkFrD+6ekax6NRK33nN3cwy7kWli2LS8ll5BWrqqRdSq0YuwvSi7eEpuWy1VkfkF2oo2+/E2Jly6OoGzsLcqjkKhNC3Tp88xUxFVYHN5eq86jbMPrljs7VSLqeEPH3IffPssWnTjt3L9VMfXrtompedRSVJEsJfPuPcuXDa3K9Rs2wAAJ8GTfIoFII8v3+nuaqwkDh/YJcZAIBfo2Z5VX1MCKFvE2aqYeB53jXYgtVr42dO+J9jK39vPyNjY83U2XMTvHxrF9wNvMGbPHqE65PI+BcAALMWLZUsmPGbfddmDb01GjXh4OSsXLl5W1RRPWuXLLTet32rVdHjBm5OgqGjxiZPm7vgg/MoI4TQh5Ggw6RFNVhytpJxLyrdjEYhyHF7n/kVrR/ayCHex9Ykf/qxV14r+vmGWJqwVQ2dhbmSTEXKkvOh7mqtjuJnZ5o1tJFjcV6efiG1DEnKNQEA8LQyzp3eySOqon0ihNCnwzxFX4cfp82O375ktuPUvh382DwjTb9xkxIc3T3/z959x0dR538cf382CaQSIECogVBCCyDdisqpcDYEPStnL3hi98R2qKhYzrPLT7Gc/Wx3p6ioqCgWFCkqVXov0pvpu9/fH9lwIUIEZieb8nr6mIeZnfadTcg785md7zdv9vffJo+548Z2Y8Z/9YMkTf38k3qvPfb3VkVFhVanXv2C/oNPX9d/8OmbJCmuVi037Pb7Fr300OhWH7z6fPOGTZrlDrv9vkVxtWrxjwBABJCpfjFXCd/YWavWT4t2G4C96dK8Ua+9LVu5eTs/u6gUWtSvs9ef00g7qEdPN/Grbw54+7TkhOnOuQprb03yxrBD+Z2ESu2Mpybv9d9+zsbV/PyiUkhs0KxCMsprnkpkqp+enTiV30motC7u33uv/+4X/bKZn11UGm3T65OpVRyfSAYAeORUFAr9/moAAKAc5CkAAJFBpvqFQjIAwJPiPqQq39MtAABUJeQpAACRQab6h0IyAMAzBrUFAMA78hQAgMggU/1BIRkA4ImZFBuwaDcDAIAqjTwFACAyyFT/UEgGAHjinFQYpP8pAAC8IE8BAIgMMtU/FJIBAJ7R/xQAAN6RpwAARAaZ6g8KyQAAT5xzhDQAAB6RpwAARAaZ6h8KyQAAzxjIAAAA78hTAAAig0z1B4VkAIAnZqbYmEC0mwEAQJVGngIAEBlkqn8oJAMAPHHOqaAoGO1mAABQpZGnAABEBpnqHwrJAABPnBjIAAAAr8hTAAAig0z1D4VkAIBnhDQAAN6RpwAARAaZ6g8KyQAAT0xSHP1PAQDgCXkKAEBkkKn+oZAMAPCE/qcAAPCOPAUAIDLIVP9QSAYAeBbisSEAADwjTwEAiAwy1R8UkgEAnhQPZBDtVgAAULWRpwAARAaZ6h8KyQAATwJmqhUbE+1mAABQpZGnAABEBpnqHwrJAABPQs4pv7Ao2s0AAKBKI08BAIgMMtU/FJIBAJ7R/xQAAN6RpwAARAaZ6g8KyQAAz5wIaQAAvCJPAQCIDDLVHxSSAQCeOCeFyGgAADwhTwEAiAwy1T8UkgEAngRMqs1ABgAAeEKeAgAQGWSqfygkAwA8CTmnPAYyAADAE/IUAIDIIFP9QyEZAOAZAxkAAOAdeQoAQGSQqf6gkAwA8MRJcoQ0AACekKcAAEQGmeofCskAAE8CZqodS5wAAOAFeQoAQGSQqf7hXQUAeBJyTrk+9z9lZgMlPSopRtKzzrn7yix/WNLR4dlESY2cc3XDy4KSZoWXrXDOnexrYwEAOAAVkacSmQoAqP64RvUPhWQAgDfO38eGzCxG0pOSjpW0StJUMxvnnJu7qwnOXVtq/SsldS+1i1zn3EG+NRAAgEjwOU8lMhUAUENwjeqbQLQbAACo+pyH//ZBH0mLnHNLnHMFkl6XNKic9c+S9K8InBYAABXKS56SqQAA/I/PmVpj85RCMgDAEycn5w582gfNJK0sNb8q/NpvmFlLSZmSJpZ6Od7MppnZd2Z2yoGeJwAAfvKap2QqAADFKiBTa2ye0rUFAMCTgJni4zzFSQMzm1ZqfqxzbuwB7utMSW8754KlXmvpnFttZq0lTTSzWc65xQfcWgAAfBCBPJXIVAAAKlumVqs8pZAMAPAk5JxyCzwNZLDROdernOWrJbUoNd88/NqenCnpitIvOOdWh/+/xMy+UHHfVFUipAEANUcE8lQiUwEAqIhMrbF5StcWAADPQu7Ap30wVVI7M8s0s1oqDuJxZVcysw6S6kn6ttRr9cysdvjrBpIOkzS37LYAAFQGXvKUTAUA4H98ztQam6d8IhkA4JmfI+I654rMbLikjyXFSHreOTfHzEZJmuacKwnsMyW97nZvTEdJT5tZSMU3T+8rPZIuAACViZ95Gt4/mQoAqBG4RvUHhWQAgCdmpgTv/U+Vyzk3XtL4Mq+NLDN/xx62myypi6+NAwAgAioiTyUyFQBQ/XGN6h8KyQAAT0Ihp5yCwmg3AwCAKo08BQAgMshU/1BIBgB4FvL5UVwAAGoC8hQAgMggU/1BIRkA4BkhDQCAd+QpAACRQab6g0IyAMCTgEmJtYgTAAC8IE8BAIgMMtU/vKsAAE+CzunXfPqfAgDAC/IUAIDIIFP9QyEZAOAZTw0BAOAdeQoAQGSQqf6gkAwA8MbR/xQAAJ6RpwAARAaZ6hsKyQAAzxwhDQCAZ+QpAACRQab6g0IyAMCTQMCUVDsu2s0AAKBKI08BAIgMMtU/FJIBAJ4EQ0478wqi3QwAAKo08hQAgMggU/1DIRkA4FmIp4YAAPCMPAUAIDLIVH9QSAYAeEb/UwAAeEeeAgAQGWSqPygkAwA8CRj9TwEA4BV5CgBAZJCp/qGQDERQi/p1ekW7DUBFC4VC9D8FIOISGzQjU1GjkKcA/NA2vT55ihqHTPUPhWQAgCdOUojHhgAA8IQ8BQAgMshU/1BIBgB4RkgDAOAdeQoAQGSQqf6gkAwA8CQQMCXH14p2MwAAqNLIUwAAIoNM9Q+FZACAJ6GQ047c/Gg3AwCAKo08BQAgMshU/1BIBgB44iTx1BAAAN6QpwAARAaZ6h8KyQAAz5xIaQAAvCJPAQCIDDLVHxSSgQiaPXv2tGi3oTrLzs7utbdlO3bs4L0vJSUlZa/vVcQ5J8ftXgARRqb6q7xM/XT2Yt77Uo7JblMxmUqeAvABeeq/vWXqhvnTee/LaNi+J5laxVFIBgB4EggElBxfO9rNAACgSiNPAQCIDDLVPxSSAQCehEIhbc/Ni3YzAACo0shTAAAig0z1D4VkAIAnDGQAAIB35CkAAJFBpvqHQjIAwDP6nwIAwDvyFACAyCBT/UEhGQDgSUzAlJJA/1MAAHhBngIAEBlkqn8oJAMAPAmGnLbR/xQAAJ6QpwAARAaZ6h8KyQAAT5yTQiEeGwIAwAvyFACAyCBT/UMhGQDgkaP/KQAAPCNPAQCIDDLVLxSSAQCecbMXAADvyFMAACKDTPUHhWQAgCcxgYBSE+Kj3QwAAKo08hQAgMggU/1DIRkA4EkwFNLWnNxoNwMAgCqNPAUAIDLIVP8Eot0AAEDV5iQ55w542hdmNtDM5pvZIjO7aQ/LzzezDWb2Y3i6uNSy88xsYXg6L3JnDgBA5HjNUzIVAIBiFZGpNTVP+UQyAMCzkPzrgMrMYiQ9KelYSaskTTWzcc65uWVWfdpT9aoAACAASURBVMM5N7zMtvUl3S6pl4r/npge3naLbw0GAOAA+ZmnEpkKAKg5uEb1B4VkAIAnMQFT3URf+5/qI2mRc26JJJnZ65IGSSob0nsyQNInzrnN4W0/kTRQ0r98aisAAAekAvJUIlMBADUA16j+oZAMAPAkGHTa8muen4doJmllqflVkvruYb1TzayfpAWSrnXOrdzLts38aigAAAeqAvJUIlMBADUA16j+oY9kAIAnEegjuYGZTSs1XXoAzXhPUivnXFdJn0h6MYKnCACA7yLUnyOZCgCo8SpJplbLPOUTyQAAz0Leup/a6JzrVc7y1ZJalJpvHn5tF+fcplKzz0p6oNS2R5XZ9osDbSgAAH7ymKcSmQoAgCTfM7XG5imFZACAJxXQ/9RUSe3MLFPFoXumpLNLr2BmTZxza8OzJ0uaF/76Y0mjzaxeeP44STf72VgAAA5EBfWRTKYCAKo9rlH9QyEZAOBJMBTS1l9zfdu/c67IzIarOHBjJD3vnJtjZqMkTXPOjZN0lZmdLKlI0mZJ54e33Wxmd6k46CVpVMmgBgAAVCZ+56lEpgIAagauUf1DIRkA4FnIeX9uqDzOufGSxpd5bWSpr2/WXu7iOueel/S8rw0EACAC/M5TiUwFANQMXKP6g0IyAMAT56RQBDqgAgCgJiNPAQCIDDLVPxSSAQCeEdEAAHhHngIAEBlkqj8oJAMAPIkNBFQvyffBgQAAqNbIUwAAIoNM9Q+FZADw6KOPPko5/fTTsxYsWPBT48aNi6LdnopWFApp805/BwcCANQM3036POVvwy/JemPi5J/qN2xUozKVPAUARNKEL75KGTrs2qxZX330U3rDBmQqIoJCMgCELVu2LO7OO+9s+uWXX6Zu2bIltm7dukX9+vXbdvvtt6/JzMwslKSjjjqqfVZWVu7YsWNXRLu9lYVTxQwOBACoOtauWhn3/KP/aPrj99+m7ti2LTYltU5Rtz6HbLvoquvXNGmRUShJw88a0r5FZuvcEaMfJFNFngIA9mz5qtVx9zz0ZNOvp0xL3bptW2zdOnWKDuvba9ut112xplWL5oWSNOBP57Zv1zoz94n77yRTRab6KRDtBgBAZbBgwYJaRx99dMcFCxYkPPbYY0unTp06+8knn1y6cOHChP79+3dcuHBhrYpuU15enlX0MQ+Mk3MHPgEAqpcVSxbXGn7WkI4rly5OuPaOe5Y+9+5Hs6+/876lq5YuSRh+9qkdVy5dUuGZWpCfXwUy1VuekqkAUP0sXLKs1oA/nddx0ZJlCf8YdevSrz94a/bD9/xt6eKlyxMGnn5+x0VLl1V4pubnF5CpNRifSAYASVdffXWGmenjjz9ekJycHJKkNm3aFBxxxBELunbtmn311Vdn1K9fv2jGjBnJM2bMSH799dcbStL06dNnlexj+vTpCXfffXezRYsWJWRmZuY9+uijyw855JCckuUTJ05MuvPOO5vPnTs3MSUlJdi/f/+tf//731fVq1cvJBV/2rlt27a5iYmJoXfeeSetSZMmBVOmTJlX0e/F/ooNBFQvOTHazQAAVBKPjLotIxAwPfTi6wsSk5JCktSsZauCrr37Ljjv+KOzHxl1W0aduvWK5s+emTx/9szkT997p6EkPT9uwq5M/Xn2zIQXHn+42arlSxOatmiZd83Iu5Zn9+i1K1Onf/t10vOP/qP50oXzE5OSk4M9Djl86/Cbb1+Vkpoakoo/7dysZavc+PiE0JeffJjWoFF6wTP//bBSZyp5CgAo64aR92QEzDTu1WcXJCclhiSpdcuMgsP69FrQ59hB2TeMHJ1Rr25q0Q+z5ib/MGtu8pvvftBQkiZ/+PauTJ0xc07CfY/+X7Mly1YktMponvfgnbcs79vzoF2ZOumbKUn3PPxk83kLFiWmJCcFjzys79Z7b7txVd3UOiGp+NPOrVtl5CbGJ4TGffxpWpP0RgVfvvcGmVpD8YlkADXehg0bYiZPnpw6dOjQ9SVF5BLJycmhoUOHrv/mm29S77jjjjVdunT59ZRTTtk0d+7cn+bOnftTZmZmQcm6d911V/ORI0eu/uyzz+bVrVu36NJLL80MhYp3N23atISzzjor67jjjtv6xRdfzH3hhRcWz507N/HCCy9sVfp47733XppzTu+///78sWPHLq2I8/eqKBjS5h05BzwBAKqPLZs2xsyeMS11wCmnrS8pIpdITEoKHTfo1PWzpk9NvejqG9a0ad/x1yOOHbjp1Qlf/vTqhC9/atoiY1em/vPxh5pfeNX1qx979e15yXXqFN1/y18zXThTf571U8LtVw7L6nPEkVuffP2/c2/9+6OLly1akDh6xDWtSh/vm88mpDk5/f25V+bfOPrBSp+pXvOUTAWA6mXDps0x303/MfWsISevLykil0hOSgydOfik9d9O+yH1tuuHr8nukPXrSQP+sOmHz9//6YfP3/+pVYsWuzL1vkfGNL/l2r+sHv/GP+el1kkpumLEyMxQqPgTtzNmzk748xXXZf2h36FbJ7z90tyxD41e/PPCxYmXXX9rq9LHG//JF2lOTv958an5T9x/J5lag/GJZAA13rx58+Kdc+rYsWPenpZ37NgxzzmntWvXxsbFxbn4+PhQ8+bNfzNYwc0337z6j3/84w5JGjFixJrBgwd3WL58eVxmZmbhQw89lD5gwIDNt9566y/h1fMffvjh5ccee2ynNWvWxDZt2rRIkpo2bZr/+OOPr/LtZH1C/1MAAElavnhhvHNOLdu022Omtmqbleec06b1v8TGxsW52vHxoUZNmv4mU8+9/KrVBx/Vf4ckDR02fM3Nl13QYd3qVXFNWmQUvv7sU+l9jzx683lXXLMrU6++bdTyq/98eqeNv6yLbZBePPBtg/TG+dfdMbpKZSp5CgAoMX/h4njnnNq3bb3HTO3Qrk2ec07rftkQGxcX6xLi40PNmvx28Pcbhl+6esDR/XZI0g1/uWTN6RcP77Bi9eq4Vi2aFz469oX04446YvOIq4btytQHbr95+QlnXdhp7S/rY5ukFw9826Rxo/yH7rqNTAWFZACIlB49euwaFrZFixaFkrRu3bq4zMzMwjlz5iStWrWqdnp6ev2SdUr6XVqwYEHtkkJydnZ2lbv16ST6kAIARFRW5y67MrVR46aFkrRpw/q4Ji0yCpcsnJ+0Ye2a2if2yv5fpqo4h1YsXVy7pJDcOqt9lcpU8hQA4IfuXTrtytRmTRsXStIv6zfGtWrRvHDe/EVJq9euq51x0GG7MjUcqVq4eFntkkJyp6y2ZCokUUgGALVv3z7PzDRv3rz4PS2fN29evJmpQ4cO+eXtJy4ubldSmRWPP1DStUUoFNKpp5668Zprdn16apeWLVvueuwoISEhVHZ5ZRcbCKh+ckK0mwEAqAQyWrfNMzMtW7Rgj5m6bNGCeDNTRpu2B5ypLuR01MATN55x0aW/ydT0ps13ZWrt+KqVqeQpAKC0rLat88xMPy9cvMdM/Xnh4ngzU1bb1vuRqcX/33Wd6kI65fjjNl55yXm/ydQWzZruytTEKnadSqb6h0IygBovPT09eMghh2x/5ZVXGt1444279ZO8c+fOwMsvv9zosMMO29awYcNgXFxcqCR090enTp1yFixYkNCpU6dyQ74qKgqFtIk+pAAAkuo3aBjM7t5r+4R3/93onMuG79ZPcs6vvwY+fuffjbr07L2tXlqDYGxs7AFlama7rJyVy5YktGqbVa0ylTwFAJTWqEFasG/Pg7a//t/3Gl33l4t36yd55685gX/9Z1yjQ3p139YwrX4wNjYuFAwF9/sYHdu1zVm0dFlCh3ZtyFTsEwbbAwBJDz/88IpgMGgDBgzIGj9+fMqSJUviPvroo5SBAwdmSdIjjzyyQpKaN29eMHPmzKSFCxfWWrduXWwwuG9hfcMNN6ybM2dO4kUXXZTx3XffJcydO7f222+/nXrhhRe29PG0KkzIwwQAqF6uGjlqRTAYsuvOOzPr288/S1mzYnncd5M+T7n+/LOynHO6+m93rZCkho2bFiyaNzdp5dIltTZvWB8b2sdMPeuSy9ctWfBz4ugR12bM+WF6wrJFC2p/Pv691NE3XlPlM9VLnpKpAFD9/P2Om1cEg0E7+ZyLsz6a+GXK0hUr4yZ88VXKoKGXZDlJf7/zlhWS1KxJesGsufOTFi1dVuuXDRtjg8F9S4Vrhl24bu78RYnDbrg14/sZPyX8vHBx7f988HHqZdffSqZij/hEMgBI6tixY/7nn38+d9SoUU2HDx+euWXLlti6desW9evXb9vLL7+8ODMzs1CSrr/++nWXXnpp5qGHHto5Pz8/MH369Fn7sv/evXvnvvPOO/NHjRrV7JRTTukQCoXUrFmz/OOOO26rv2fmPyenkCNqAQDFWrVpl//Ea/+e+/zjDzV96I6bM7dv2xabUie16KA+B28b+dATi5u0yCiUpLMuGbbu/ltuyLzstBM7FxYUBJ4fN2GfMrVj14Ny73v6hfn/fPyhZjdddn6HUCikhumN8/sccVSVzlTyFABQVvu2rfM/euvFuaMfHtP0utvuytyybXts3TopRYcf3Gvbc4/dv7hVi+aFknTNZResu2LEyMyjB53dOb+gIDD5w7f3KVN7dsvOffO5J+aPfmRMs9MvuqJDKOTUpHGj/GOOPIxMxR5ZZex8etaq9dOi3QZgb7o0b9Rrb8tmz57Nz66PsrOz9/re79ixg/e+lJSUlL2+V5HWvG17d9VDYw94+xGDjprunKuw9tYkbww7lH8XqNTOeGoymRol5WXqp7MX896Xckx2mwrJKK95KpGpfnp24lT+XaDSurh/b/I0ivaWqRvmT+e9L6Nh+55kahXHJ5IBAJ7ExgSUlpwY7WYAAFClkacAAEQGmeof+kgGqpClS5fW6tKlS89p06ZVqt+Ir776alqvXr26R7sdiI6iYEgbd/x6wBMARAOZisrGa56SqQCihUxFZUOm+odCMlBJXHvtta0uvPDCtmVfnzZtWmKXLl16Ll26tFaLFi0KJkyY8FO3bt0q1fCjgwcP3vzBBx/sUx9MqJ5Czh3wBACRRqaiqvKSp2QqAD+QqaiqyFR/UEgGqpDY2Fg1adKkKC4uLtpN2U1iYqJLT08vinY7/PDggw827NOnT8e0tLQeQ4cObVXeuvfee2+jVq1adWvcuHH3c889t1Vubq6VLFu4cGGto48+Oqthw4bdu3Tp0vn9999P8b3xFcRJcs4d8AQA0UCmVrwtmzbGjLjkvDYn9Orc/YyjD+ny/puv1d/burNnTEv8yxmntD+xV3b3IYf36vbKU080Klk2/duvky4ZcnzHE3tndz//xGM6Tfvmy+SKOQN/ec1TMhVAtJCpFe+Rp55veMSJp3dsln1wjwuu/Gurva337CtvpB1+wp86tup+ePdOhx3X9YbbRzcvLCx+S/Ly8u3ia25q2eWIgV1aHnR490P/eGqndz/8pE5FnYOfyFT/UEgGqpCyjwwVFBTYbbfd1qJfv35du3fv3uOoo47qevfddzcrWb9///5dHnjggaZXXXVVZq9evbofccQR3Z544on00vscM2ZM+oknntipV69e3Y888siuN9xwQ8stW7bElCwveRzo888/Tzn++OM79+rVq/vZZ5+dtWTJklpl1ym9348++ih1yJAhHXr06NHjkEMOOejCCy9sW7qwWlU0bdq08Lrrrls7ePDgjeWt9+6779Z56qmnmvz3v/+dP3v27JkrVqyofcsttzQtWX7eeee17ty5c86yZct+vOmmm1ZfeumlbdauXVst+qmPDQSUlpJ0wBMARAOZWvH+MfLmjNi4WPfm59/99Ne771/69IP3ZSyYMyu+7HqbN6yPHXnlZe3+OOT0Df/+etqPL42fOKvvkUdvl4qL0Xddd2W7U4desO7db3/8YcjQC9bddf2Vbbdu3hTz2yNWLV7zlEwFEC1kasVrkt6o8KpLzlt78h+PKfc6NSc3NzDqpmtXzv9u4o8fvvHPed9N+yHlgcefaixJhUVF1iS9UeF/X3pq/pLpX/5ww/BLV191851tFi1dVqu8fVYFZKp/qkURA6ipnnnmmUZff/11vXvuuWdJRkZGwZo1a+IWL1682wXZ22+/nX7mmWeuHT58+Jpvvvkm5dFHH81o0aJF/qBBg7ZKkpm566+/fmWrVq3yV65cWeuBBx7IuP322zMee+yxpSX7KCoqsueee67JHXfcsTQ+Pt7ddtttmXfccUfLl156aeGe2jVhwoQ6I0aMaHvmmWeuvfvuu5cVFRXZl19+WScUCpmKbw5WGWefffZWSZo+fXri2rVr9xqor732Wtppp522sXv37nmS9Ne//nXNFVdc0frhhx9ePXv27Nrz589PHD9+/IKkpCR3zjnnbH366adz33jjjXrXXHPNhoo6F78UhULauJ0+pABUbWSqv3J27gxM++aremPefGdOUkpKqNdh/Xb2OPjQbR/99620rM5dVpde99WxY9K79Oy9/aQzzt4sSbXj4127Op3zJOnHKd8m16lXr3DgkD9tkaSTzzxn8xvPP930s/ffrXfquReWezFd2ZGnAKoLMtV/Zww+cask/TBrbuLavPV7vU696pLzd11vtmzerPDkgcds/nbaDymSlJKcFLrr5uvWlCwfcsKAbQ88/nT+tB9mJbbNbFXgZ/v9Rqb6h0IyUIlMnz49tewd0/IeqVi7dm2tZs2a5R122GE7A4GAWrZsWXDIIYfs9tsyKytr53XXXbcu/HX+nDlzkl599dX0koC+/PLL15esm5mZWZCXl7dqxIgRbYPB4NKYmOIbvsFg0P72t78tb9++fb4knXPOOevuu+++VqFQSIHAbx9seOaZZ5oefvjhW26++eZdodS1a9fcA3hLqoyFCxcmHH/88VtL5nv27Jm7efPm2F9++SVm1qxZCU2bNs2vW7duqGR5hw4dcufNm/ebT2FVSa78n1MAiAYytXJZunB+7UBMwLXO6pBf8lpmVvuc2TOm/6arpwVzZiVltG6bO+y0kzqsX7umduv2HX+99va7VzRrGb6o3cP3cdmihQl+tr9CkKcAKikytfr4fsZPye1at9rjOa9Z90vsytVr4zt3zMqr6HZFHJnqGwrJQCXSuXPnHaNGjVpe+rV58+Yl3HLLLW32tP6QIUM2XXHFFVkDBw7M7tmz5/Z+/fptO+6447aVBKskZWdn7xbYXbt2/fXrr7+uVzL/+eefpzz33HONV65cmZCTkxMTCoVUVFRk69ati2vWrFmhJMXFxbmScJak9PT0wqKiItuyZUtMWlpasGy7lixZknDiiSdW6U8F7a/c3NxAamrqrveifv36QUnavn17zM6dOwMpKSm7vU916tQJrlu3rnJ1InbAGIwAQOVDplYuOb/ujElITAyVfi0ppU4wLzfnN11SbN64odbyxYsS73pi7IL22V1zH7/n9uZ333BV6/97a9zP3focvHPr5s1xH7z1r/rHDTp1ywdvv15/w7q1tfPzcqtBl33kKYDKiUytHp5+8bW0uQsWJT35wO7fS0kqKCi0i6+5qfWJx/Xf1KVj+6pfSCZTfVMN/uACqo/4+PhQ27Zt80tPTZo02esjJT169Mj5+OOPZ15++eWrnXO66667Wp177rlZweBvMnOPli1bVuv6669v16pVq7z7779/8auvvjr35ptvXiYV92tVsl4gENjtN7BZ8aLwI0CQlJCQENq+ffuuv4y2bNkSkIoLxsnJyaGdO3fudqG8Y8eOQFJS0r59oyo5BtsDUBmRqZVLYlJyMDcnZ7drj5ydO2LiExJ/8wbXql071Ouww7d26903Jz4hwV10zV/XLPp5btL2rVtj6jdoGLz1748ueue1l9JP69en27RvvqrTqVv37Q3SG1fpR3AlBgYCUHmRqVXfW+9+UPehMc82f+X/HlqY3rDBbgMQBoMhnX/lXzPjYmNDj997x4potTGSyFT/8IlkoIqrU6dOaPDgwVsGDx685fvvv9900UUXdVi8eHHtrKysfEmaM2fObr3Ez5o1K6lFixbF/Qz++GNiUVGR3XHHHStjY4t/HXz66ad1vbapdevWud9//32d8847r8bc7W3Xrl3uzJkzEyVtkYr7VK5fv35Renp6sEuXLrlr1qypvXXr1kBJ9xY///xz4uDBgzdHtdEREhsTowZ1kqPdDADwjEz1T2a79vmhYMiWLpxfO7Nd8afHli6Yn5DRuvVvHq/NyGyTK/2vBlBSGCjRt99RO/v2O2qeJBUVFurs4/p1OfXcC3/x9wz8R54CqE7I1Mpj3Eef1rnlngdbvvD43xf26Jq9W+6GQk6XXHtTq01btsT+54WnFtaqFVctKqhkqn8oJANV2JgxY9IbNmxYmJ2dnRMXF+fGjRtXPyEhIVjyqI8kzZ8/P/mRRx5pfMIJJ2yZPHlyyqeffpo2cuTIpZLUunXrfOecnn766fQ//vGPW6ZPn5781ltvNfLarosuumjtjTfe2Pbee+9tOmjQoM3OOU2aNKnOeeedtzEpKSn0+3uoPAoLC1VYWGjBYNCCwaDl5ORYXFyci4vbvVeKs846a9M111yTOXTo0E0tWrQofPDBB5sMHjx4oyRlZ2fnZ2Vl5YwcObLpfffdt/rdd99NXbhwYcIZZ5yxJSonFWFFwaA2bNsZ7WYAgCdkqr8Sk5NDvQ47fOtzjzzY9Jb7H14+d+YPCdO//abuP/756s9l1x04+E8b77v5ujZzf5yR0K5Tdt7zj/6jabtOnXfWqVs3KElzfpiekNW5S15ebq49/eC9zdIaNCw84tiB2yv+rCKLPAVQXZCp/issLFJhUZEFg0ELhUKWk5tncbGxLi5u9zLfRxO/TLnutrtbP/3QPYsO69srp+x+/nLjbRlLlq+MH/fKMwuSEhOqRRFZIlP9RCEZqMKSkpKCr7zySvqaNWvizUytW7fOefTRRxeWDsHTTjvtl4ULFyacddZZTeLj40Pnn3/+msGDB2+RigcWGD58+MrXXnut8XPPPdesY8eOO6+88spVt99+e2sv7Ro4cOC2YDC4aOzYsU3ffPPNxgkJCcGOHTv+esEFF2z4/a0rl5EjRzZ98sknm5TMN27cuP4VV1yx9uKLL9546KGHdp48efKcNm3aFJxyyinb586du27QoEHt8/PzA8cee+yW0aNH7xrE4cUXX1xyySWXZGZkZHRv3LhxwdixYxc3adKkaM9HrXpCrkr93QUAv0Gm+u/6Ufctv/em61r96ai+3ZJS6hRddsNNK7I6d8mb+vWk5DuvuaLd+9Nm/yBJhxz9hx1nXfKX1bdfPaxdQX5+oF2nLjtv+/tjS0r2869nn2r809QpqZLUtVfv7Xc9MXZRtM4p0shTANUBmeq/UQ8+1vTpF1/bdZ3aqvvh9S877+y1F5x92sajBp3V+Yt3/zWndcuMgoefeq7JzpycmAuuurFdyboHZXfaOe6VZxYuXra81n/e/7hhXFycyz5iQLdd+x5x7fLzzzqtyj89S6b6wypjvx+zVq2fFu02AHvTpXmjXntbNnv27Er1s9u/f/8uQ4YMWT98+PAq/7inJGVnZ+/1vd+xY0eleu+jLSUlZa/vVaQ1bZ3lLhr9+AFvf/dZA6c75yqsvTXJG8MO5d8FKrUznppMpkZJeZn66ezFleq9j7ZjsttUSEZ5zVOJTPXTsxOn8u8CldbF/XtXmTyVak6mbpg/vdK999HWsH1PMrWK4xPJAABPYmMCalAn6fdXBAAAe0WeAgAQGWSqfygkAwA8KQyGtJ7+pwAA8IQ8BQAgMshU/1BIBqqJu+++u1laWlrh5Zdfvr7ktYkTJ846kH3l5OTY8OHD28yePTu5R48e208++eRN77//ftqYMWOW/P7WqHmcKmM3SQBwoMhURAd5CqD6IVMRHWSqXygkA9XA+vXrYz/55JO0Dz/8cJYkTZo0KeXKK6/MqlWrVsjMVL9+/cI///nPa4cOHbppX/b37rvv1tu6dWvcN99882NcXJwk6Yknnmg+c+bMhK5du+b6eCqooshoANUFmYpoIk8BVCdkKqKJTPUHhWSgGnjjjTfS+vTpsy0xMXHXr8p69eoVTpo0aWYoFNKECRNSR4wY0bZ3794727dvn/97+1uzZk3t5s2b55WEsyQdc8wxm15//fWGXbt2XeHTaaCKio2JUcPU5Gg3AwAigkxFtJCnAKobMhXRQqb6JxDtBgDw7ttvv03t2bPnjj0tCwQCGjhw4Lbk5OSiOXPmJJa8/vPPP8cPHTq03cEHH3zQgAEDsv/zn//Uk6T777+/6csvv9zkyy+/rNerV6/uL730UgNJOvjgg3dMmTIltWLOCFVJYTCoX7buOOBpX5jZQDObb2aLzOymPSy/zszmmtlMM/vMzFqWWhY0sx/D07gInjqAaohMRbR4zVMyFUBlQ6YiWioiU2tqnvKJZKAaWL58eUKbNm3y9rQsGAzqo48+St2xY0dsZmZmniTt3LkzMGzYsKyLL7549RlnnLFw9uzZCVdccUVWhw4dckeMGLHGzLRq1arajz322NKS/bRv3z5v/fr1tbZt2xZITU0NVdS5oWpw8u+5ITOLkfSkpGMlrZI01czGOefmllrtB0m9nHM5Zna5pAcknRFeluucO8i3BgKoVshURJOfeSqRqQAqFpmKaOIa1R8UkoFq4Ndff41JSUnZLTS3bNkS17dv34MKCgoCwWDQLr/88pXdu3fPlaSPP/44NT09Pb+kL6ru3bvnHn744Vs/+OCDep06dVq7p2OU7H/r1q2xqampBX6fE6oQJ4X87YCqj6RFzrklkmRmr0saJGlXSDvnPi+1/neShvrZIADVF5mKqPE/TyUyFUAFIlMRNVyj+oZCMlANJCUlBXfs2LFbVzUlfU/l5eXZ6NGjm0+bNq2OpPWStHr16lrz589P6tu37647YMFg0I455pi9w6GA8gAAIABJREFUDnJQsv+6desW+XQaqMJ8vu5tJmllqflVkvqWs/5Fkj4sNR9vZtMkFUm6zzn3TuSbCKC6IFMRTRUwMBCZCqDCkKmIJq5R/UEhGagGMjMzc5csWRLfu3fvnLLL4uPj3a233rrq+OOPz37vvffqnnTSSVubNGlSmJ2dveOVV15ZuK/HmD9/fnyjRo0KeFwIZcXGBJTubSCDBuEQLTHWOTf2QHZkZkMl9ZJ0ZKmXWzrnVptZa0kTzWyWc26xh/YCqMbIVERLBPJUIlMBVCJkKqKlMmVqdctTBtsDqoFDDz1027Rp01L2trx27druzDPPXPfss882kaQBAwZsXb16dfy//vWv+gUFBVZQUGBTp05NnDdvXvze9jFlypSUPn36bPOj/ajaCoMhrdu644AnSRudc71KTWXDebWkFqXmm4df242ZHSPpVkknO+d2jfrsnFsd/v8SSV9I6h7RNwBAtUKmIlq85imZCqCyIVMRLRWQqTU2TykkA9XAn/70p03ff/99ak5Oju1tnbPPPnvThg0bao0fPz61Tp06oaeeemrBhAkT6h999NFdjzzyyG4PP/xw8/z8/L1u/+mnn9Y/88wzN/hzBqjSnFModODTPpgqqZ2ZZZpZLUlnStptZFsz6y7paRUH9PpSr9czs9rhrxtIOkyl+q0CgLLIVESNxzwlUwFUNmQqosb/TK2xeUrXFkA10LBhw6Ljjjtu04svvtjw8ssvX3/kkUfumDRp0szS6yQlJYUmT578U8l8+/bt8//5z38u2tP+brzxxjWl58ePH5+akZGR161bt1x/zgBVnZ/PkTnnisxsuKSPJcVIet45N8fMRkma5pwbJ+nvkpIlvWVmkrTCOXeypI6SnjazkIpvnt5XZiRdANgNmYpo8vu5bDIVQEUiUxFNXKP6g0IyUE3ceuutv3mMIlKOP/74bccffzyPC2GPYmNj1Liu5/6nyuWcGy9pfJnXRpb6+pi9bDdZUhdfGweg2iFTEQ0VkacSmQqgYpGpiAauUf1DIRkA4ElhUVBrt+yIdjMAAKjSyFMAACKDTPUPhWQAgGfO7VO/jAAAoBzkKQAAkUGm+oNCMgDAMydCGgAAr8hTAAAig0z1B4VkAIAncTExaly3TrSbAQBAlUaeAgAQGWSqfygkAwA8KQwGtXbL9mg3AwCAKo08BQAgMshU/1BIBgB4Rv9TAAB4R54CABAZZKo/KCQDADxxzilESAMA4Al5CgBAZJCp/qGQDADwjLu9AAB4R54CABAZZKo/KCQDADyJi2UgAwAAvCJPAQCIDDLVPxSSAQCeFBYFtYaBDAAA8IQ8BQAgMshU/1BIBgB44iT6nwIAwCPyFACAyCBT/UMhGQDgGf1PAQDgHXkKAEBkkKn+oJAMoFpISUnpFe021FRxMTFqWo/+pwCgujgmuw2ZGgXkKQBULw3b9yRPo4RM9Q+FZACAJ4VFQa3evC3azQAAoEojTwEAiAwy1T8UkgEAnjg5+p8CAMAj8hQAgMggU/1DIRkA4BkZDQCAd+QpAACRQab6g0IyAMAzBjIAAMA78hQAgMggU/1BIRlAjWZmX0jqJqmxcy4/ys2RmS2TlC4pKKlQ0mRJw5xzK6PZrvLExcaoaX0GMgCAmo5M9YY8BQCUqEyZWtXyVCJT/UQhGUCNZWatJB0haZukkyW9Fc32lHKSc+5TM4uXNEbS45JOiXKb9qqwKKhVmxjIAABqMjLVO/IUACBV2kytMnkqkal+opAMoFp46csZ0/Z3m4FnDG0yb8bU3JZZHQrWr171zEtfzhhxIMc+t1+PXpFqU920Bk3OvfbmJ1/6csaOFydN15SJE1LfeOqxFvu7r721yQ/O8dgQAFQn9787ab/z64hBpzdZPHNGbrM2WQWb1q155v53J+13po4YdORes2viPy7f7zal1UlsctWQI56c+I/Ld3z24DB98eOi1LEffNdif/fV//r/q5BMJU8BoHr595TZ+51dknTS2ec1mT1tSm7rDp0K1q1a+cy/p8ze70w9tW/2XrPrgjFv7le7ElLrNTnkjIuevGDMmzvOf/INLZ0+OXXaO6+22N/9SNI//3I6mVrFBaLdAACIlu8//yStz9HHbjp84EmbF8z6sc7m9b9UqptreTk5gSkTJ9RrmdV+Z7Tb8ntC7sAnAEDVN/ObL9K6Hn70ph79B25eNndWnW0b11eqTM3JLwh8/uPiem2bNajUmeolT8lUAKgeJn/2cdqhfxiw6ajjT94876cZdTb9sq7SZGphXm5g6fRv66W1yKzUeSqRqX6pND+MAFCRZn3/bfLWTRtrHT7wpC110xoU1W+Ynj/pg3fqD77gsvXRbttTd93SNhCIcQUF+YGk5JSi6+5/dGG021SeWrExal4/NdrNAABEyYIfvk/esXlTrR79B26pUy+tKLVBw/ypn46vf8yZ50c9U0e/+mnbQCDg8guLAikJtYtGX3R8pc1U8hQA8ON33yRv2bih1lEnDNpSr0HDogaNGud/9t5/6p9+8V+imqmT/vlYWwsEXLCwIFArManomMtvqrR5KpGpfqKQDKBG+mr8uLR22d22101rUCRJvY7sv3nKZx83qAyF5GF/G72o5xFH7QgGi/TtJx/WfeC6v7S/54U3Z6elNy6Kdtv2pKAoqJWbtka7GQCAKJn22YdpLTtmb69TL61IkrIP6bf5p68+a1AZCsm3nHPMosOzM3cEgyF9OmNh3b8+/V775244Y3ajesmVLlPJUwDAxPffSevQtfv2eg0aFklS36OP2fz1Jx82iHYh+cgLrlqU0a33jlAwqCVTv6474fG72w+69cHZyfUbVLo8lchUP1FIBlDj5OXm2o/ffVXPhUJ2xUn9u0lSUVGh5eXkxCyaMzOhbeeuudFuoyTFxMTq8IEnbX318X+4OdO/T+l3/Mlbot2mPXP0PwUANVRBXq79PO27ei4UslF/PrmbJAWLiiw/Nydmxfw5CRntO1eSTA1oQO/2W8eM+8bNWLgqZWCfDpUwU8lTAKjJ8nJzbMY3k+qFQiG7YMARxdephYWWm/NrzIJZPyVkdekW9UwNxMSo7cFHbv3+7Rfd2vmzUtodcnQlzFOJTPUPhWQANc63n4yvF7CA7nz+tTmxcbVCJa8/9rcb2nw5/t20tp27ropm+0o4F9K3n3xUNy/n19gWrdtG/Y+GvXGSQoQ0ANRIP0z6tJ4FTFc99Nyc2Li4XZn68n1/azP10/FpGe07V5JMdfpsxsK6OXmFsZlN6lfKTCVPAaBm++qjD+pZIKB/vPTWnLha/7tOfWDENW0+e++/aVldukU9U51zWjL167qFebmx9ZpmVMo8lchUP1FIBlDjTJ4wPq1P/2M3pjfPKCj9ev9Bp61/86nHMs699qZVsbFx0Wqextx5U7tAIOAkU90GDQv+fM2IpZkdOuVFrUG/o1ZMjJqn0f8UANREP3wxIa3rYUdvbNC0+W6ZevDAQes/fOnpjFMuu3ZVTGz0LjnufvmTdoGAOcmUViex4MrBhy9t36JRpcxU8hQAarZJH72fdug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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm_capped = aqp.plot_disparity_all(hbdf, attributes=['race'], metrics = 'all', significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing disparity between all groups for multiple user-specified disparity metrics\n", "\n", "The treemaps below display False Omission Rate and False Positive Rate disparities (calculated in relation to the sample majority group for each attribute) between groups acorss all three attributes, colored based on disparity magnitude.\n", "\n", "We see that several groups (Asian, Native American) have a much lower false omission rate than African Americans, with fairly close false omission rates between the sexes and the two older oldest age groups. Though there are many more men in the sample, the two groups have nearly identical false positive rates, while color tells us that there are larger false positive rate disparities between races and age categories than false omission rate disparity." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dp = aqp.plot_disparity_all(majority_bdf, metrics=['for_disparity', 'fpr_disparity'], significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## How do I assess model fairness?\n", "\n", "### _Aequitas Fairness() Class_\n", "Finally, the Aequitas `Fairness()` class provides three functions that provide a high level summary of fairness. This class builds on the dataframe returned from one of the three `Bias()` class **`get_dispariy_`** methods. \n", "\n", "Using FPR disparity as an example and the default fairness threshold, we have:\n", "\n", "$$ 0.8 < Disparity_{FNR} = \\frac{FPR_{group}}{FPR_{base group}} < 1.25 $$ \n", "\n", "We can assess fairness at various levels of detail:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Group Level Fairness\n", "When the `label_value` column is not included in the original data set, Aequitas calculates only Statistical Parity and Impact Parities.\n", "\n", "When the `label_value` is included in the original data set, the **`get_group_value_fairness()`** function builds on the previous dataframe. The **`get_group_value_fairness()`**\n", "function gives us attribute group-level statistics for fairness determinations:\n", "\n", "#### Pairities Calcuated:\n", "\n", "| Parity | Column Name |\n", "| --- | --- |\n", "| True Positive Rate Parity | 'TPR Parity' |\n", "| True Negative Rate Parity | 'TNR Parity' |\n", "| False Omission Rate Parity | 'FOR Parity' |\n", "| False Discovery Rate Parity | 'FDR Parity' |\n", "| False Positive Rate Parity | 'FPR Parity' |\n", "| False Negative Rate Parity | 'FNR Parity' |\n", "| Negative Predictive Value Parity | 'NPV Parity' |\n", "| Precision Parity | 'Precision Parity' |\n", "| Predicted Positive Ratio$_k$ Parity | 'Statistical Parity' |\n", "| Predicted Positive Ratio$_g$ Parity | 'Impact Parity' |\n", "\n", "#### Also assessed:\n", "- **_Type I Parity_**: Fairness in both FDR Parity and FPR Parity\n", "- **_Type II Parity_**: Fairness in both FOR Parity and FNR Parity\n", "- **_Equalized Odds_**: Fairness in both FPR Parity and TPR Parity\n", "- **_Unsupervised Fairness_**: Fairness in both Statistical Parity and Impact Parity\n", "- **_Supervised Fairness_**: Fairness in both Type I and Type II Parity\n", "- **_Overall Fairness_**: Fairness across all parities for all attributes" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "f = Fairness()\n", "fdf = f.get_group_value_fairness(bdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Fairness()` class includes a method to quickly return a list of fairness determinations from the dataframe returned by the **`get_group_value_fairness()`** method." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "parity_detrminations = f.list_parities(fdf)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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attribute_nameattribute_valuetprtnrforfdrfprfnrnpvprecisionpprpprevprevfdr_disparityfnr_disparityfor_disparityfpr_disparitynpv_disparityppr_disparitypprev_disparityprecision_disparitytnr_disparitytpr_disparityNPV ParityTypeI ParitySupervised FairnessUnsupervised FairnessEqualized OddsImpact ParityStatistical ParityFOR ParityTypeII ParityFDR ParityPrecision ParityFPR ParityTPR ParityTNR ParityFNR Parity
0raceAfrican-American0.7201470.5515320.349540.3702850.4484680.2798530.650460.6297150.6554120.5882030.514340.9060850.5864161.213151.912090.9137282.545671.690221.06490.7205261.37755TrueFalseFalseFalseFalseFalseFalseTrueFalseTrueTrueFalseFalseFalseFalse
1raceAsian0.6666670.9130430.1250.250.08695650.3333330.8750.750.002411820.250.281250.6117480.6984820.4338390.3707491.229150.009367680.7183841.268321.192811.27525TrueFalseFalseFalseFalseFalseFalseFalseFalseFalseFalseFalseFalseTrueFalse
2raceCaucasian0.5227740.7654570.2881250.4086650.2345430.4772260.7118750.5913350.2574620.3480030.3936431111111111TrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
3raceHispanic0.4439660.7851850.2885910.4578950.2148150.5560340.7114090.5421050.05728070.2982730.3642071.120461.165141.001620.9158870.9993460.2224820.8570990.9167481.025770.849249TrueTrueTrueFalseTrueTrueFalseTrueTrueTrueTrueTrueTrueTrueTrue
4raceNative American0.90.6250.1666670.250.3750.10.8333330.750.003617730.6666670.5555560.6117480.2095440.5784531.598851.170620.01405151.915691.268320.8165061.72158TrueFalseFalseFalseFalseFalseFalseFalseFalseFalseFalseFalseFalseTrueFalse
5raceOther0.3233080.8524590.3020130.4556960.1475410.6766920.6979870.5443040.02381670.2095490.3527851.115081.417971.04820.6290570.980490.09250590.6021470.9204661.113660.618447TrueFalseFalseFalseFalseFalseFalseTrueFalseTrueTrueFalseFalseTrueFalse
6sexFemale0.6084340.678930.2425370.487310.321070.3915660.7574630.512690.1781730.4236560.3569891.336421.055810.7347380.9903431.130710.2168010.9043480.8069251.004630.967101TrueFalseFalseFalseTrueTrueFalseFalseFalseFalseTrueTrueTrueTrueTrue
7sexMale0.6291320.6757990.33010.3646370.3242010.3708680.66990.6353630.8218270.4684650.4731051111111111TrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
8age_cat25 - 450.6262570.6662160.3231120.3851350.3337840.3737430.6768880.6148650.5800420.468240.4597231111111111TrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrueTrue
9age_catGreater than 450.4277110.8320960.2411170.4593910.1679040.5722890.7588830.5406090.1187820.250.315991.19281.531240.7462320.5030311.121140.2047820.5339140.8792321.248990.682963TrueFalseFalseFalseFalseFalseFalseFalseFalseTrueTrueFalseFalseTrueFalse
10age_catLess than 250.7395830.4586470.4245280.360360.5413530.2604170.5754720.639640.3011760.6533680.5650750.9356730.6967811.313871.621870.8501730.5192311.395371.040290.6884351.18096TrueFalseFalseFalseFalseFalseFalseFalseFalseTrueTrueFalseTrueFalseFalse
" ], "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fdf[['attribute_name', 'attribute_value'] + absolute_metrics + calculated_disparities + parity_detrminations].style" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "### How do I interpret parities?\n", "Calling the Aequitas `Fairness()` class **`get_group_value_fairness()`** method on the dataframe returned from a `Bias()` class `get_dispariy` method will return the dataframe with additional columns indicating parities, as seen in the slice of the `get_group_value_fairness` data frame directly above.\n", "\n", "In this case, our base groups are Caucasian for race, Male for gender, and 25-45 for age_cat. By construction, the base group has supervised fairness. (The disparity ratio is 1). Relative to the base groups, the COMPAS predictions only provide supervised fairness to one group, Hispanic.\n", "\n", "Above, the African-American false omission and false discovery are within the bounds of fairness. This result is expected because COMPAS is calibrated. (Given calibration, it is surprising that Asian and Native American rates are so low. This may be a matter of having few observations for these groups.)\n", "\n", "On the other hand, African-Americans are roughly twice as likely to have false positives and 40 percent less likely to false negatives. In real terms, 44.8% of African-Americans who did not recidivate were marked high or medium risk (with potential for associated penalties), compared with 23.4% of Caucasian non-reoffenders. This is unfair and is marked False below.\n", "\n", "These findings mark an inherent trade-off between FPR Fairness, FNR Fairness and calibration, which is present in any decision system where base rates are not equal. See [Chouldechova (2017)](https://www.andrew.cmu.edu/user/achoulde/files/disparate_impact.pdf). Aequitas helps bring this trade-off to the forefront with clear metrics and asks system designers to make a reasoned decision based on their use case." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Attribute Level Fairness\n", "Use the **`get_group_attribute_fairness()`** function to view only the calculated parities from the **`get_group_value_fairness()`** function at the attribute level." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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model_idscore_thresholdattribute_nameStatistical ParityImpact ParityFDR ParityFPR ParityFOR ParityFNR ParityTPR ParityTNR ParityNPV ParityPrecision ParityTypeI ParityTypeII ParityEqualized OddsUnsupervised FairnessSupervised Fairness
01binary 0/1age_catFalseFalseTrueFalseFalseFalseFalseFalseTrueTrueFalseFalseFalseFalseFalse
11binary 0/1raceFalseFalseFalseFalseFalseFalseFalseFalseTrueFalseFalseFalseFalseFalseFalse
21binary 0/1sexFalseTrueFalseTrueFalseTrueTrueTrueTrueTrueFalseFalseTrueFalseFalse
\n", "
" ], "text/plain": [ " model_id score_threshold attribute_name Statistical Parity Impact Parity \\\n", "0 1 binary 0/1 age_cat False False \n", "1 1 binary 0/1 race False False \n", "2 1 binary 0/1 sex False True \n", "\n", " FDR Parity FPR Parity FOR Parity FNR Parity TPR Parity TNR Parity \\\n", "0 True False False False False False \n", "1 False False False False False False \n", "2 False True False True True True \n", "\n", " NPV Parity Precision Parity TypeI Parity TypeII Parity Equalized Odds \\\n", "0 True True False False False \n", "1 True False False False False \n", "2 True True False False True \n", "\n", " Unsupervised Fairness Supervised Fairness \n", "0 False False \n", "1 False False \n", "2 False False " ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gaf = f.get_group_attribute_fairness(fdf)\n", "gaf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Overall Fairness\n", "The **`get_overall_fairness()`** function gives a quick boolean assessment of the output of **`get_group_value_fairness()`** or **`get_group_attribute_fairness()`**, returning a dictionary with a determination across all attributes for each of:\n", "- Unsupervised Fairness\n", "- Supervised Fairness\n", "- Overall Fairness" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Unsupervised Fairness': False,\n", " 'Supervised Fairness': False,\n", " 'Overall Fairness': False}" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gof = f.get_overall_fairness(fdf)\n", "gof" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## How do I visualize bias metric parity?\n", "Once you have run the `Group()` class to retrieve a crosstab of absolute group value bias metrics, added calculdated disparities via one of the the `Bias()` class **`get_disparity`** functions, and added parity determinations via the `Fairness()` class **`get_group_value_fairness()`** or **`get_group_attribute_fairness()`** method, you are ready to visualize biases and disparities in terms of fairness determination.\n", "\n", "For visualizing absolute metric fairness with the the Aequitas `Plot()` class, a particular metric can be specified with **`plot_fairness_group()`**. A list of particular metrics of interest or 'all' metrics can be plotted with **`plot_fairness_group_all()`**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing parity of a single absolute group metric across all population groups\n", "\n", "The chart below displays absolute group metric Predicted Positive Rate Disparity (ppr) across each attribute, colored based on fairness determination for that attribute group (green = 'True' and red = 'False'). \n", "\n", "We can see from the green color that only the 25-45 age group, Male category, and Caucasian groups have been determined to be fair. Sound familiar? They should! These are the groups selected as reference groups, so this model is not fair in terms of Statistical Parity for any of the other groups." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "z = aqp.plot_fairness_group(fdf, group_metric='ppr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing all absolute group metrics across all population groups\n", "The charts below display all calculated absolute group metrics across each attribute, colored based on fairness determination for that attribute group (green = 'True' and red = 'False'). \n", "\n", "Immediately we can see that negative predictive parity status is 'True' for all population groups, and that only two groups had a 'False' determination for true negative parity. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fg = aqp.plot_fairness_group_all(fdf, ncols=5, metrics = \"all\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)\n", "\n", "\n", "## How do I visualize parity between groups in my model? \n", "To visualize disparity fairness based on the dataframe returned from the Fairness() class **`get_group_value_fairness()`** method, a particular disparity metric can be specified with the **`plot_fairness_disparity()`** method in the the Aequitas `Plot()` class. To plot a single disparity, a metric and an attribute must be specified.\n", "\n", "Disparities related to a list of particular metrics of interest or `'all'` metrics can be plotted with **`plot_fairness_disparity_all()`**. At least one metric or at least one attribute **must** be specified when plotting multiple fairness disparities (or the same disparity across multiple attributes)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing parity between groups in a single user-specified attribute for all calculated disparity metrics\n", "\n", "The treemap below displays False Discovery Rate disparity values between race attribute groups calculated based on a predefined reference group ('Caucasian'), colored based on fairness determination for that attribute group (green = 'True' and red = 'False'). We see very quickly that only two groups have a 'False' parity determination." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m = aqp.plot_fairness_disparity(fdf, group_metric='fdr', attribute_name='race')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Researcher Check: Could the unfairness I am seeing be related to small group sizes in my sample?\n", "\n", "Use the `min_group` parameter on all visualization methods to vizualize parities for only those sample population groups above a user-specified percentage of the total sample size. Note that only the smallest groups had an 'False' determination for false discovery rate parity above. The parity determination is 'True' for all groups at least 1% of the sample size ." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m = aqp.plot_fairness_disparity(fdf, group_metric='fdr', attribute_name='race', \n", " min_group_size=0.01, significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing parity between groups in a single user-specified attribute for all calculated disparity metrics\n", "\n", "The treemaps below display disparities between race attribute groups calculated based on a predefined reference group ('Caucasian') for all 10 disparity metrics, colored based on fairness determination for that attribute group (green = 'True' and red = 'False').\n", "\n", "As all treemap squares are sized and positioned based on group size, the population groups on all subplots are found in the same place across all disparity metrics, allowing for ease of comparison of fairness determinations for each 'race' group across every calculated dipsarity metric." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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u6aZo/oAyMnFS68zPKH/6dUGJdVsl3ZOxzkVKtZhRuEE/USGLs2c4569IOaZFn5UfV7sNXrzG2qvUtbqCdU3SrdH6fQpBnsnJMlMUstDj69vNijKzVZiJeH1q3jRJv8i4DhxZz/csabrCfcDjGfv6t4xtXR9fl6L5b4/m3yTpkNT8ZkkHKSRb/FUZ2YRljotJOlYh+SW9zMr4+KbWuUaF7y332qSo5Ve0bpyh+dHUvAMUMvbT89dmbKNovVxknyXv9TKWn6gQV0gvf0PueCSfpRXR/Ctr+BzNU35Llu8XWa7ofXZS1vMz3t8ryuz70RLn8OEy634vY50bFVrCNKc+l8+W9N8KQeujU+tXdf5KlCN97XhSUlO12xjN186WoTniPGRkvU+FT7BeUOH67u7XSro8mrVXHYoX7+ced3+XpHdFs/eW9MFqtmdmMxR+JOfc5+7fdfenM+DcfZ27X+3uZyoExKp6ElbDsY2fbF0d/V3yqUmJcvQrPOWKn1LV9RxV6AKFCjztfDObaGZ7S/pUNO/b7n5zNTtIsjxPS0263d2XV1tQD0/qfhhNLnfMyp3DUk8vvyQp3RffoKSXu/uX3H1lqlyr3f3HCgHXT5QpTy3+rPxM0LeOwD6A8eZMM5tTr425+6OSvhZNnqLwoK1u3H2Ju58r6fnK/963Z+y/EnF2+Yei61ePu9/s7p919/0l/V+V5R1w9+9L+l00q1i9erLyr6s3KPzAznmRme2qKiW/Sa5W6IokbYfXq+5+n6QvR5PPNrNnJNkUFyg/G+MOSefVsKtFqf8PKjS5q4q7L5P0+Whys0JgvZg4m+SPCjcxOa/PyEjNeaekuP/tz7j7Ind/MFWu7uT33ikKN/h15e4bFQIOOa+j9QN2cqcoBD3SznT3r3vSL6+7b3b38yR9IFruOaoiuz75/n00Y1a971U3uPulko6U9EA0+wtmNrXKTcb16Vfc/f7U/gbd/UF3/7a7H6sqMxqTeuyvCvcfaXMlFYy3kGTGHp+a1KVQp+ZMkfSaasqQKstDilrtSZqZZKnuMO7eo8I4w3MlvTf5/1cVuknI2aLw0Ktab1Z+S5bfFFuwmKSsuW5n0op+rs3suQoJNDmPKQSz6+TNAAAgAElEQVTgc/bL9Umase4hKjw2f1J4SH6duw8m5Rp099vc/QOSDlR4CFBv6eO1UCNQb48kApojIAl4PRlNrvam6ano7ziNvW7c/UKFJ0Rp765yM23R3/uY2XNK7DOrCVFZlR7bpNPh10eTP6j843qAmcWVf6XlyD1xSxuxc1SmHO9UflPHhZI+J+n7Ctk0OU8qpLRX6whJ6R8Nt9SwjZyKP9fJTXG6mfs2hfea/uy82Mx2USQJsMdNFS90978U21/yQ+T2YvNrlXxm70pNOtoqHLgB2AktS/7tVMimrqf4+iON0HXb3e9WYVDsODPbv8pNxXXrqWbFBwqotW5VyORIK/abJX4Q+GNJV6T+blL+A7Bq7bDfPmV8Ufk30LnuWz6m0I1ATr9C1n3cFU1JFgZoSAeNH3T3rmLLl1Ht5zo+h19Xfr0+TdIri6wb33w9qMKAah53j5vw10u6zB2S/mWE9gM0gvgB/xMKD1+yfF+F91LVNm/ekfXpBhXel05T/kCllYjr05NL/R6vY30qZdeppyk/FvN75Tf/lWpMvknE52hI2d27jKjk3uvCaPKXzeyNClmzaR9x96U17CYeSLCme9UkEStusl9Nffq/yavUMjnvUP7575f0dg+DyhYr39L0Q+06io9XVQPvjjYCmiPAzNpUGM1fV+Vm9oz+jp9M1dul0d/zquxLc7Xy+3PqlHSzmT1gZheY2bssjIZZcsS2cqo4tq9SqOxy7k2eVv0yWq6miiLJWpwfTR7pc5TJ3R9TYSbmfyo/GCiF/r1q6cs0Hgnx1hq2kVPN5zqu6P+YZKP8KTWtWdn9yx6vwutbyRF4R1j6mLWJGy+gmHRGxHuq7Ju4nPj6889hBJEqEderUuF1uZyHo7+/K2mZmf3UzP7TzI4pNmpolQ6M/i6oV5OHRyekJg0q9EdW6Y/3Suzo3z6ZkhuKtyu/z7mjlD8iuRQyfO6tYReHKfRVlVPPerVLoQugAslD3ANSk9ZJ+osqOIdmNkuF2ZmXunvcL9+OEh+zhsooAeoszqq/Kkl6KJBMv6rM+uXE1x1XeMAxItz9BhVmpg23Pn2LpFVm9gcz+4yZvczMpmWtWKW4PpWy71WzgmG/Un6fiS8ZRmuV+Bw9VipYNsI+pDCQXs4UST9VfmuBvyk0+a5K8oDwualJj7v7+loKmSTExJm/mb9DkphE3D96VkDzDUnrjlj8+b0uuc8dDbcrPzO1oepTApp1lqS/n6/CJzEVNQMzs6lmdpryU/+HFPpNGElZP8jjC2FRyQ/a72fMOkghq+77yT6Wm9mXahnwocpjGz9p/N/o35w3FrnIFCuDmdk8Sd9QGIQnZ6kKg6U70jdUOJBB2g+TrgxqEQe246e6ZZnZJDN7lcIAV2mlOvbOqujT/+ZkPVVemDHtnhL7qtRLzcyLvEpVwvExq3XgLWC8+6FCZokUmml/crgbNLMJZvZ8SR+JZn1juNsuxd2XqPBJf8X1auJ7GdN2VchM+ZpC/bfOzH5cQ/anzKzVzN6rwg75s+rV0xQeIuVc76HT/quU37z+UDN7VpXlmGZmiyS9PDV5QKHP7VHh7reocECDtH+o+kEWcupRr7aZ2ZEKLTLSvlvipjWuL3+TdP8Td3N0opnNjqbtocKBD+pRr7aXqFcfKrEe9SrGu0+X+G4syi1kZpNVGITJyhIsNX+amU3KXDLFzJrNbD8V3pf+zt2fyFqnjuJ71Wrr05+osE6eLOkkhX6or1SoT68xsxPilctJ7hGPU2Fz/FWKjreZHaH8bP8uhSD0GuV3p9GiKgcGNrOOpBz/Gc0a0d88pbj7JoVu44rZKukdxYLwZeymECDNqaU+bTKzhSoMqN7i7jcVWe2VCv285jzu7ne5+53a/jtWCnGLl6vQwujvetSnknRTietGQatG6enzkw4CN1R9SkCzPn5lZivNLJelGAdtlqn8qNDXmZkrjA55qbb3A9Et6TR3v6OeBc6QNepVtX2TfFrSZWWWmSfpHEl3m1mpPp5yqj62yY/wE6PlckGwGxQ6H87JWjZLe3J+hhRS+NMjkz4h6YRRfOqlpLnb25U9ev0KFVZq1Yhvaqp56vXT5LhtUegbLdf32jaFQZTiJ8SSpORm+NDUpG3a3sfb7xQ6NM95ppmll5Xys3MlaTDpG2W0xMesbn0DAuNJ0kXDZ1OT3mZmtfbL9enk+tOr8OQ/V+cMKfywLxWsqpe4bq2qXk36lTxL2df2nE6FB0B3mdnLKtjs2Um9ulKhKVU8KvaAskeAz3zI5O69ym92nrVsMTcl52iDpB9pe8B0i6R/TfdvNko+ofwbk5whhaZhtTZJHE69+u7kmG1TeJB5SGrej1WkL+jk4W3cRDN3Dv+p/CZnWctmZS5ljaa7o1CvAkFWv4jlWmRlzS9VPx2bXHcGlAxAl5r3F1XfZL0Ww61PV0t6tbJHas9pUsic+5OZxQ+Lsjw3VZ92SbpOhaOofzkjUBfXkVe4e645eK2tHr6cnKOepBy7JdOHJJ3r7lVnP9aTu/9O0s+LzP5M0td5LYZTn+6fHLNBhUBouru6O1S6D9NiiTfx/wuWTbJK4wcIo1mfSvnHbUZSxoZAQLM+pit0+DtbhU+vl0g6qcamvhsVRtb62TDLV4msSmFTNRtw9z53P00hTfkSFQ6ak7ZAlWVe1HJs36T8joHvc/eHkzIOqTCTcjiV8F2SjsltfzQlAxlk3YSemXTgXav4JiYr+F2NXoXRXL9bYpn4nPzJw6BQuadIfyqzfPx+m60+Awb0KXyus16lvi9xJVWPJi3AePUTSbnMrFYVNvMdjiFJZ7v7WTVmAlQrvtGsql6VJHf/hkITtvNUOuumQ9JFVnxAl5xOhXp1rvLrSincCJ0eP0RNHhqlB1QYVGgalxP/eD91GD+G1ynU7b+ucf26KTKggST9vxJZG5Wod70qhRvWt3rxARdPUv6N9npJ6ZYb5Vo/ZP2OqNcAE8Xq1TUl1qFexXjXreLfjXTf+VmBkM4y286aX3X9pDDa+Um53+gjLL5XraU+vV5hEJcPKzzEKdX/8SeTTMpSWrW9Po3vM1zSN9w97+Fp0m3Zm6Jl09ffuNn54WZ2sGozKOkD7n5OjevX25kqDDjerdoGTcwZifr0z5KOL9ZfpZnNlBQ/QC4V0HxFunVqkogUd3lUr/p0vYpfN0p93tPfYVP1iW2jhoBm/fUr9Cd5raR/l3RIhRkGG1TYv8Y0hSdE/1rfImaK+0WSahxFy93/5u5vcfddFCqNtyhUePGX6MQq+/6q9NjGP8LjplTxReaVFfaZskqFF8nDJN0+jAyieruhwmnViG9iJmculW2TwpPQdOCgQ9LlZpbZ9CC5CY6bV5Q7h6eaWfp6tiRj0/HohrW4zt13KfKKm7OmxZXCcALMwLiW/NBL9wt8mrL7pCqnW6HOSNc9TZK+bmaluruoCzPbU4XXy8W1bMvdH3f3sz2MZD5HoZ/o76jwWjJb1fXRO5Rs41aFkVkPLPIQ9a3R339Lmsbl/EH5GT9xf5vFrFfhzc1MSdea2asrWH9HGGv1aq/C75E4a/ejFvpWLdZXefzb6LdR8DOuZ480s3R/m/9U4eiv9ahXt5WoV+M+vNOoVzHefa3Ed+PpTDcPo5jHwb2CUbXLzN9Ypk/pfoXrTjyozL9Kur5OSQPlxPeqi2vZiLtvcvevuvvRCteR4xS67ngsY/FXVbn5LoW+RC+UdLS7n5WxzInKzyjvVqpP0yST9G/ROpVkaXap8DdPs6TvmNm5Faw/4pLfDXEm5i1e5cB6keHUp4MKn+u4Fd8JCmOBzChcRVIISKe7rHsiaWouSUoeCqebvmf1txnfq9ajPpWkl5e4bpR6SJiuU12jnzFaMQK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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "a_tm = aqp.plot_fairness_disparity_all(fdf, attributes=['race'], metrics='all', \n", " significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing parity between all groups for multiple user-specified disparity metrics\n", "\n", "The treemaps below display Predicted Positive Group Rate (pprev) and Predicted Positive Rate (ppr) disparities between attribute groups for all three attributes (race, sex, age category) calculated based on predefined reference groups ('race' attribute: Caucasian, 'sex' attribute: Male, 'age_cat' attribute: 25-45), colored based on fairness determination for that attribute group (green = 'True' and red = 'False'). As we want to plot for all groups, there is no need to specify any attributes. \n", "\n", "We can see that the Predicted Positive Group Rate Parity (Impact Parity) determination was 'False' for nearly every race in comparison to Caucausians, and 'False' for every other age category in comparison to the 25-45 age group, and that overall Predicted Positive Rate Parity (Statistical Parity) did not have any 'True' fairness determinations at all." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r_tm = aqp.plot_fairness_disparity_all(fdf, metrics=['pprev_disparity', 'ppr_disparity'], \n", " significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing parity between groups in multiple user-specified attributes\n", "\n", "The treemaps below display disparities between attribute groups for all two attributes (sex, age category) calculated based on predefined reference groups ('sex' attribute: Male, 'age_cat' attribute: 25-45) for the six default disparity metrics, colored based on fairness determination for that attribute group (green = 'True' and red = 'False'). As we want to see only the default metrics, we do not need to set the 'metrics' parameter. \n", "\n", "Note that there is slightly more parity between the sexes (FNR, FDR, FNR, and Statistical Parity) than between age categories (FDR Parity only)." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_tm = aqp.plot_fairness_disparity_all(fdf, attributes=['sex', 'age_cat'], \n", " significance_alpha=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Aequitas Effect\n", "\n", "By breaking down the COMPAS predictions using a variety of bias and disparity metrics calculated using different reference groups, we are able to surface the specific metrics for which the model is imposing bias on given attribute groups, and have a clearer lens when evaluating models and making recommendations for intervention. \n", "\n", "Researchers utilizing Aequitas will be able to make similar evaluations on their own data sets, and as they continue to use the tool, will begin to identify patterns in where biases exist and which models appear to produce less bias, thereby helping to reduce bias and its effects in future algorithm-based decision-making." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Back to Top](#top_cell)" ] } ], "metadata": { "kernelspec": { "display_name": ".aequitas", "language": "python", "name": ".aequitas" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }