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"cells": [
{
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"id": "4f90fb1e-5a5e-4255-ab23-3ae810d85b10",
"metadata": {},
"source": [
"(lecture_09)=\n",
"# Modeling Events\n",
"\n",
":::{post} Jan 7, 2024\n",
":tags: statistical rethinking, bayesian inference, logistic regression\n",
":category: intermediate\n",
":author: Dustin Stansbury\n",
":::\n",
"\n",
"This notebook is part of the PyMC port of the [Statistical Rethinking 2023](https://github.com/rmcelreath/stat_rethinking_2023) lecture series by Richard McElreath.\n",
"\n",
"[Video - Lecture 09 - Modeling Events](https://www.youtube.com/watch?v=Zi6N3GLUJmw)# [Lecture 09 - Modeling Events](https://www.youtube.com/watch?v=Zi6N3GLUJmw)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "6d488dfc",
"metadata": {},
"outputs": [],
"source": [
"# Ignore warnings\n",
"import warnings\n",
"\n",
"import arviz as az\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc as pm\n",
"import statsmodels.formula.api as smf\n",
"import utils as utils\n",
"import xarray as xr\n",
"\n",
"from matplotlib import pyplot as plt\n",
"from matplotlib import style\n",
"from scipy import stats as stats\n",
"\n",
"warnings.filterwarnings(\"ignore\")\n",
"\n",
"# Set matplotlib style\n",
"STYLE = \"statistical-rethinking-2023.mplstyle\"\n",
"style.use(STYLE)"
]
},
{
"cell_type": "markdown",
"id": "dd6d0fb8",
"metadata": {},
"source": [
"# UC Berkeley Admissions\n",
"\n",
"## Dataset\n",
"- 4562 Graduate student applications\n",
"- Stratified by\n",
" - Department\n",
" - Gender\n",
"\n",
"Goal is to identify gender discrimination by admissions officers"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "876ff2cc",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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\n",
"\n",
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" \n",
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dept
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applicant.gender
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admit
\n",
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reject
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11
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F
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22
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351
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373
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24
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" \n",
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"
"
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"text/plain": [
" dept applicant.gender admit reject applications\n",
"1 A male 512 313 825\n",
"2 A female 89 19 108\n",
"3 B male 353 207 560\n",
"4 B female 17 8 25\n",
"5 C male 120 205 325\n",
"6 C female 202 391 593\n",
"7 D male 138 279 417\n",
"8 D female 131 244 375\n",
"9 E male 53 138 191\n",
"10 E female 94 299 393\n",
"11 F male 22 351 373\n",
"12 F female 24 317 341"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ADMISSIONS = utils.load_data(\"UCBadmit\")\n",
"ADMISSIONS"
]
},
{
"cell_type": "markdown",
"id": "c18ab839-ca84-44c3-aef5-a7a8255536e9",
"metadata": {},
"source": [
"## Modeling Events\n",
"- **Events**: discrete, unordered outcomes\n",
"- Observations are counts/aggregates\n",
"- Unknowns are probabilities $p$ of event ocurring, or odds of those probabilities $\\frac{p}{1-p}$\n",
"- All things we stratify by interact -- generally never independent in real life\n",
"- Often deal with the Log Odds of $p = \\log \\left (\\frac{p}{1-p} \\right)$"
]
},
{
"cell_type": "markdown",
"id": "86fb87f0",
"metadata": {},
"source": [
"## Admissions: Drawing the owl 🦉\n",
" \n",
"1. Estimands(s)\n",
"2. Scientific Models(s)\n",
"3. Statistical Models(s)\n",
"4. Analysis"
]
},
{
"cell_type": "markdown",
"id": "78b2200d",
"metadata": {},
"source": [
"# 1. Estimand(s)\n",
"\n",
"## Which path defines \"discrimination\"\n",
"\n",
"### Direct Discrimination (Causal Effect)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "ac57f32f",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"G\", \"D\"), (\"G\", \"A\"), (\"D\", \"A\")],\n",
" node_props={\n",
" \"G\": {\"label\": \"Gender, G\", \"color\": \"red\"},\n",
" \"D\": {\"label\": \"Department, D\"},\n",
" \"A\": {\"label\": \"Admission rate, A\", \"color\": \"red\"},\n",
" },\n",
" edge_props={(\"G\", \"A\"): {\"color\": \"red\"}},\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "77c9eb9f",
"metadata": {},
"source": [
"- aka \"Institutional discrimination\"\n",
"- Referees are biased for or against a particular group\n",
"- Usually the type we're interested in identifying if it exists\n",
"- Requires strong causal assumptions\n",
"\n",
"Here, deparment, D is a mediator -- this is a common structure in social sciences, where categorical status (e.g. gender) effects some mediating context (e.g. occupation), both of which affect a target outcome (wage). Examples\n",
"- wage discrimination\n",
"- hiring\n",
"- scientific awards\n"
]
},
{
"cell_type": "markdown",
"id": "5a3bb603",
"metadata": {},
"source": [
"### Indirect Discrimination"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "8934294e",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"G\", \"D\"), (\"G\", \"A\"), (\"D\", \"A\")],\n",
" node_props={\n",
" \"G\": {\"label\": \"Gender, G\", \"color\": \"red\"},\n",
" \"D\": {\"label\": \"Department, D\"},\n",
" \"A\": {\"label\": \"Admission rate, A\", \"color\": \"red\"},\n",
" },\n",
" edge_props={(\"G\", \"D\"): {\"color\": \"red\"}, (\"D\", \"A\"): {\"color\": \"red\"}},\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "e44270b3-782d-44d6-9505-4801550bcda0",
"metadata": {},
"source": [
"- aka \"Structural discrimination\"\n",
"- e.g. Gender affects a person's interests, and therefore the department they will apply to\n",
"- Affects overall admission rates\n",
"- Requires strong causal assumptions"
]
},
{
"cell_type": "markdown",
"id": "ad3f6e3b",
"metadata": {},
"source": [
"### Total Discrimination"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "50f23ee9",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"G\", \"D\"), (\"G\", \"A\"), (\"D\", \"A\")],\n",
" node_props={\n",
" \"G\": {\"label\": \"Gender, G\", \"color\": \"red\"},\n",
" \"D\": {\"label\": \"Department, D\"},\n",
" \"A\": {\"label\": \"Admission rate, A\", \"color\": \"red\"},\n",
" },\n",
" edge_props={\n",
" (\"G\", \"D\"): {\"color\": \"red\"},\n",
" (\"G\", \"A\"): {\"color\": \"red\"},\n",
" (\"D\", \"A\"): {\"color\": \"red\"},\n",
" },\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "6d8381d9-52cd-430b-8a4b-b091afc89d19",
"metadata": {},
"source": [
"- aka \"Experienced discrimination\"\n",
"- through both direct and indirect routes\n",
"- Requires mild assumptions"
]
},
{
"cell_type": "markdown",
"id": "f860ec4a",
"metadata": {},
"source": [
"### Estimands & Estimators\n",
"- Each of the **different estimands require a different estimators**\n",
"- Often the thing we **can estimate** often isn't what we **want to estimate**\n",
"- e.g. Total discrimination may be easier to estimate, but is less actionable"
]
},
{
"cell_type": "markdown",
"id": "c933f824",
"metadata": {},
"source": [
"## Unobserved Confounds"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e370734b",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"G\", \"D\"), (\"G\", \"A\"), (\"D\", \"A\"), (\"U\", \"D\"), (\"U\", \"A\")],\n",
" node_props={\"U\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "00a109cc-fbea-4d55-bffd-0fcebeeed6b4",
"metadata": {},
"source": [
"It's always possible there are also confounds between the mediator and some unobserved confounds. We will ignore these for now."
]
},
{
"cell_type": "markdown",
"id": "5db65009",
"metadata": {},
"source": [
"# 2. Scientific Model(s):\n",
"\n",
"## Simulate the process\n",
"Below is a generative model of the review/admission process"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ed254bbf",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"------------------------------\n",
"UNBIASED\n",
"------------------------------\n",
"Department Acceptance rate:\n",
"[[0.1 0.1]\n",
" [0.3 0.3]]\n",
"\n",
"Gender-Department Frequency:\n",
"gender department\n",
"0 0 335\n",
" 1 173\n",
"1 0 106\n",
" 1 386\n",
"dtype: int64\n",
"\n",
"Gender-Acceptance Frequency:\n",
"gender accepted\n",
"0 0 437\n",
" 1 71\n",
"1 0 359\n",
" 1 133\n",
"dtype: int64\n",
"\n",
"Overall Acceptance Rates:\n",
"gender\n",
"0 0.139764\n",
"1 0.270325\n",
"dtype: float64\n",
"\n",
"------------------------------\n",
"BIASED\n",
"------------------------------\n",
"Department Acceptance rate:\n",
"[[0.05 0.1 ]\n",
" [0.2 0.3 ]]\n",
"\n",
"Gender-Department Frequency:\n",
"gender department\n",
"0 0 335\n",
" 1 173\n",
"1 0 106\n",
" 1 386\n",
"dtype: int64\n",
"\n",
"Gender-Acceptance Frequency:\n",
"gender accepted\n",
"0 0 465\n",
" 1 43\n",
"1 0 370\n",
" 1 122\n",
"dtype: int64\n",
"\n",
"Overall Acceptance Rates:\n",
"gender\n",
"0 0.084646\n",
"1 0.247967\n",
"dtype: float64\n"
]
}
],
"source": [
"np.random.seed(123)\n",
"n_samples = 1000\n",
"\n",
"GENDER = stats.bernoulli.rvs(p=0.5, size=n_samples)\n",
"\n",
"# Groundtruth parameters\n",
"# Gender 1 tends to apply to department 1\n",
"P_DEPARTMENT = np.where(GENDER == 0, 0.3, 0.8)\n",
"\n",
"# Acceptance rates matrices -- Department x Gender\n",
"UNBIASED_ACCEPTANCE_RATES = np.array([[0.1, 0.1], [0.3, 0.3]]) # No *direct* gender bias\n",
"\n",
"# Biased acceptance:\n",
"# - dept 0 accepts gender 0 at 50% of unbiased rate\n",
"# - dept 1 accepts gender 0 at 67% of unbiased rate\n",
"BIASED_ACCEPTANCE_RATES = np.array([[0.05, 0.1], [0.2, 0.3]]) # *direct* gender bias present\n",
"\n",
"DEPARTMENT = stats.bernoulli.rvs(p=P_DEPARTMENT, size=n_samples).astype(int)\n",
"\n",
"\n",
"def simulate_admissions_data(bias_type):\n",
" \"\"\"Simulate admissions data using the global params above\"\"\"\n",
" acceptance_rate = (\n",
" BIASED_ACCEPTANCE_RATES if bias_type == \"biased\" else UNBIASED_ACCEPTANCE_RATES\n",
" )\n",
" acceptance = stats.bernoulli.rvs(p=acceptance_rate[DEPARTMENT, GENDER])\n",
"\n",
" return (\n",
" pd.DataFrame(\n",
" np.vstack([GENDER, DEPARTMENT, acceptance]).T,\n",
" columns=[\"gender\", \"department\", \"accepted\"],\n",
" ),\n",
" acceptance_rate,\n",
" )\n",
"\n",
"\n",
"for bias_type in [\"unbiased\", \"biased\"]:\n",
"\n",
" fake_admissions, acceptance_rate = simulate_admissions_data(bias_type)\n",
"\n",
" gender_acceptance_counts = fake_admissions.groupby([\"gender\", \"accepted\"]).count()[\"department\"]\n",
" gender_acceptance_counts.name = None\n",
"\n",
" gender_department_counts = fake_admissions.groupby([\"gender\", \"department\"]).count()[\"accepted\"]\n",
" gender_department_counts.name = None\n",
"\n",
" observed_acceptance_rates = fake_admissions.groupby(\"gender\").mean()[\"accepted\"]\n",
" observed_acceptance_rates.name = None\n",
"\n",
" print()\n",
" print(\"-\" * 30)\n",
" print(bias_type.upper())\n",
" print(\"-\" * 30)\n",
" print(f\"Department Acceptance rate:\\n{acceptance_rate}\")\n",
" print(f\"\\nGender-Department Frequency:\\n{gender_department_counts}\")\n",
" print(f\"\\nGender-Acceptance Frequency:\\n{gender_acceptance_counts}\")\n",
" print(f\"\\nOverall Acceptance Rates:\\n{observed_acceptance_rates}\")"
]
},
{
"cell_type": "markdown",
"id": "7dfac7b4",
"metadata": {},
"source": [
"### Simulated data properties\n",
"\n",
"#### Both scenarios\n",
"\n",
"- Gender 0 tends to apply to department 0\n",
"- Gender 1 tends to apply to department 1\n",
"\n",
"#### Unbiased scenario:\n",
"- due to lower acceptance rates in dept 0 and tendency of gender 0 to apply to dept 0, gender 0 has a lower overall rejection rate compared to gender 1\n",
"- due to higher acceptance rates in dept 1 and tendency of gender 1 to apply to dept 1, gender 1 has a higher overall acceptance rate compared to gender 0\n",
"- even in the case of no (direct) gender discrimination, **there is still indirect discrimination based on tendency of genders to apply to different departments, and the unqual likelihood that each department accepts students.**\n",
"\n",
"#### Biased scenario\n",
"- overall acceptance rates are lower (due to baseline reduction in gender 0 acceptance rates across both departments)\n",
"- in the scenario where there is actual department bias, **we see a similar overall _pattern_ of discrimination as the unbiased case due to the indirect effect.**"
]
},
{
"cell_type": "markdown",
"id": "c8cc6e18",
"metadata": {},
"source": [
"# 3. Statistical Models"
]
},
{
"cell_type": "markdown",
"id": "165d2a45",
"metadata": {},
"source": [
"## Modeling Events\n",
"- **We observe** counts of events\n",
"- **We estimate** probabilities -- or, rather, the log-odds of events ocurring\n",
"\n",
"\n",
"### Linear Models\n",
"Expected value is linear (additive) combination of parameters\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"Y_i &\\sim \\mathcal{N}(\\mu_i, \\sigma) \\\\\n",
"\\mu_i &= \\alpha + \\beta_X X_i + ...\n",
"\\end{align*}\n",
"$$\n",
"\n",
"b.c. Normal distribution is **unbounded**, so too is the expected value of the linear model.\n",
"\n",
"### Event Models\n",
"Discrete events either occur, taking the value 1, or they do not, taking the value 0. This **puts bounds** on the expected value of an event. Namely the bounds are on the interval $(0, 1)$\n",
"\n",
"## Generalized Linear Models & Link Functions\n",
"\n",
"- Expected value is **some function $f(\\mathbb{E}[\\theta])$ of an additive combination of the parameters**.\n",
"\n",
"$$\n",
"f(\\mathbb{E}[\\theta]) = \\alpha + \\beta_X X_i + ...\n",
"$$\n",
"\n",
"- Generally, this function $f()$, called the **link function**, will have a specific form **that is associated with the likelihood distribution**. \n",
"- the link function will have an **inverse link function** $ f^{-1}(X_i, \\theta)$ such that\n",
"- to reiterate **link functions are matched to distributions**\n",
"\n",
"$$\n",
"\\mathbb{E}[\\theta] = f^{-1}(\\alpha + \\beta_X X_i + ...)\n",
"$$\n",
"\n",
"- In the linear regression case the likelihood model is Gaussian, and the associated link function (and inverse link function) is just the identity, $I()$. (left plot below)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "d0cc274e",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, axs = plt.subplots(1, 2, figsize=(8, 4))\n",
"xs = np.linspace(-3, 3, 100)\n",
"plt.sca(axs[0])\n",
"alpha = 0\n",
"beta = 0.75\n",
"\n",
"plt.plot(xs, alpha + beta * xs)\n",
"plt.axhline([0], linestyle=\"--\", color=\"gray\")\n",
"plt.axhline([1], linestyle=\"--\", color=\"gray\")\n",
"plt.xlim([-3, 3])\n",
"plt.ylim([-0.5, 1.5])\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"$I(\\\\alpha + \\\\beta X$)\")\n",
"plt.title(\"Linear Model\\n(continous outcomes)\")\n",
"\n",
"plt.sca(axs[1])\n",
"plt.plot(xs, utils.invlogit(alpha + beta * xs))\n",
"plt.axhline([0], linestyle=\"--\", color=\"gray\")\n",
"plt.axhline([1], linestyle=\"--\", color=\"gray\")\n",
"plt.xlim([-3, 3])\n",
"plt.ylim([-0.5, 1.5])\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"$\\\\frac{1}{e^{-(\\\\alpha + \\\\beta X)}}$\")\n",
"plt.title(\"Logistic Model\\n(binary outcomes)\");"
]
},
{
"cell_type": "markdown",
"id": "de57a29d",
"metadata": {},
"source": [
"## Logit Link Function and Logisitic Inverse function\n",
"### Binary outcomes\n",
"\n",
"- **Logistic regression** used to model the probability of an event ocurring\n",
"- Likelihood function is the Bernouilli\n",
"- Associated link function is the **log-odds, or logit**: $f(p) = \\frac{p}{1-p}$\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"Y_i &\\sim \\text{Bernoulli}(p_i) \\\\\n",
"f(p_i) &= \\alpha + \\beta_X X_i + ...\n",
"\\end{align*}\n",
"$$\n",
"\n",
"- the inverse link function is the **inverse logit** aka **logistic** function (right plot above): $f^{-1}(X_i, \\theta) = \\frac{1}{1 + e^{-(\\alpha + \\beta_X X_i + ...)}}$\n",
" - defining $\\alpha + \\beta_X X + ... = q$ (ignoring the data index $i$ for now), the derivation of the inverse logit is as follows\n",
"$$\n",
"\\begin{align}\n",
"\\log \\left(\\frac{p}{1-p}\\right) &= \\alpha + \\beta_X X + ... = q \\\\\n",
"\\frac{p}{1-p} &= e^{q} \\\\\n",
"p &= (1-p) e^{q} \\\\\n",
"p + p e^{q} &= e^{q} \\\\\n",
"p(1 + e^{q}) &= e^{q} \\\\\n",
"p &= \\frac{ e^{q}}{(1 + e^{q})} \\\\\n",
"p &= \\frac{ e^{q}}{(1 + e^{q})} \\frac{e^{-q}}{e^{-q}}\\\\\n",
"p &= \\frac{1}{(1 + e^{-q})} \\\\\n",
"\\end{align}\n",
"$$\n",
"\n",
"### logit is a harsh transform\n",
"Interpreting the log odds can be difficult at first, but in time becomes easier\n",
"- log-odds scale\n",
"- $\\text{logit}(p)=0, p=0.5$\n",
"- $\\text{logit}(p)=-\\infty, p=0$\n",
" - rule of thumb: $\\text{logit}(p)<-4$ means event is unlikely (hardly ever)\n",
"- $\\text{logit}(p)=\\infty, p=1$\n",
" - rule of thumb: $\\text{logit}(p)>4$ means event is very likely (nearly always)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3b094e6c-c1a9-4e12-b308-4aebdc969edc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"log_odds = np.linspace(-4, 4, 100)\n",
"utils.plot_line(log_odds, utils.invlogit(log_odds), label=None)\n",
"plt.axhline(0.5, linestyle=\"--\", color=\"k\", label=\"p=0.5\")\n",
"plt.xlabel(\"$logit(p)$\")\n",
"plt.ylabel(\"$p$\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "2e7264da",
"metadata": {},
"source": [
"### Bayesian Updating for Logistic Regression\n",
"For the following simulation, we'll use a custom utility function `utils.simulate_2_parameter_bayesian_learning` for simulating general Bayeisan posterior update simulation. Here's the API for that function (for more details see `utils.py`)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "04147653",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on function simulate_2_parameter_bayesian_learning_grid_approximation in module utils:\n",
"\n",
"simulate_2_parameter_bayesian_learning_grid_approximation(x_obs, y_obs, param_a_grid, param_b_grid, true_param_a, true_param_b, model_func, posterior_func, n_posterior_samples=3, param_labels=None, data_range_x=None, data_range_y=None)\n",
" General function for simulating Bayesian learning in a 2-parameter model\n",
" using grid approximation.\n",
"\n",
" Parameters\n",
" ----------\n",
" x_obs : np.ndarray\n",
" The observed x values\n",
" y_obs : np.ndarray\n",
" The observed y values\n",
" param_a_grid: np.ndarray\n",
" The range of values the first model parameter in the model can take.\n",
" Note: should have same length as param_b_grid.\n",
" param_b_grid: np.ndarray\n",
" The range of values the second model parameter in the model can take.\n",
" Note: should have same length as param_a_grid.\n",
" true_param_a: float\n",
" The true value of the first model parameter, used for visualizing ground\n",
" truth\n",
" true_param_b: float\n",
" The true value of the second model parameter, used for visualizing ground\n",
" truth\n",
" model_func: Callable\n",
" A function `f` of the form `f(x, param_a, param_b)`. Evaluates the model\n",
" given at data points x, given the current state of parameters, `param_a`\n",
" and `param_b`. Returns a scalar output for the `y` associated with input\n",
" `x`.\n",
" posterior_func: Callable\n",
" A function `f` of the form `f(x_obs, y_obs, param_grid_a, param_grid_b)\n",
" that returns the posterior probability given the observed data and the\n",
" range of parameters defined by `param_grid_a` and `param_grid_b`.\n",
" n_posterior_samples: int\n",
" The number of model functions sampled from the 2D posterior\n",
" param_labels: Optional[list[str, str]]\n",
" For visualization, the names of `param_a` and `param_b`, respectively\n",
" data_range_x: Optional len-2 float sequence\n",
" For visualization, the upper and lower bounds of the domain used for model\n",
" evaluation\n",
" data_range_y: Optional len-2 float sequence\n",
" For visualization, the upper and lower bounds of the range used for model\n",
" evaluation.\n",
"\n"
]
}
],
"source": [
"help(utils.simulate_2_parameter_bayesian_learning_grid_approximation)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "bcc15a2f",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_admissions_model_posterior(direct_effect_inference_simulated_unbiased)"
]
},
{
"cell_type": "markdown",
"id": "280fab46",
"metadata": {},
"source": [
"For comparison, here's the ground truth unbiased admission rates, which were able to recover:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "adf2cec3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.1, 0.1],\n",
" [0.3, 0.3]])"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Department x Gender\n",
"UNBIASED_ACCEPTANCE_RATES"
]
},
{
"cell_type": "markdown",
"id": "c8f71e81",
"metadata": {},
"source": [
"# 4. Analyze the UC Berkeley Admissions data"
]
},
{
"cell_type": "markdown",
"id": "f8111520-19b8-4f1e-8871-e31c67c152e7",
"metadata": {},
"source": [
"### Review of the counts dataset\n",
"- we'll use these counts data to model log odds of acceptance rate for gender/department\n",
"- note that we'll be using Binomial Regression, which is equivalent to Bernoulli regression, but operates on aggregate counts, as oppose to individual binary trials\n",
" - The examples above were actually implemented as Binomial Regression so that we can re-use code and demonstrate general patterns of analysis\n",
" - Either way, you'll get the same inference using both approaches"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "f9f74b6e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
dept
\n",
"
applicant.gender
\n",
"
admit
\n",
"
reject
\n",
"
applications
\n",
"
\n",
" \n",
" \n",
"
\n",
"
1
\n",
"
A
\n",
"
male
\n",
"
512
\n",
"
313
\n",
"
825
\n",
"
\n",
"
\n",
"
2
\n",
"
A
\n",
"
female
\n",
"
89
\n",
"
19
\n",
"
108
\n",
"
\n",
"
\n",
"
3
\n",
"
B
\n",
"
male
\n",
"
353
\n",
"
207
\n",
"
560
\n",
"
\n",
"
\n",
"
4
\n",
"
B
\n",
"
female
\n",
"
17
\n",
"
8
\n",
"
25
\n",
"
\n",
"
\n",
"
5
\n",
"
C
\n",
"
male
\n",
"
120
\n",
"
205
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"
325
\n",
"
\n",
"
\n",
"
6
\n",
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C
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"
female
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"
202
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"
391
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"
593
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"
\n",
"
\n",
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7
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D
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"
male
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"
138
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"
279
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"
417
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"
\n",
"
\n",
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8
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"
D
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"
female
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"
131
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"
244
\n",
"
375
\n",
"
\n",
"
\n",
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9
\n",
"
E
\n",
"
male
\n",
"
53
\n",
"
138
\n",
"
191
\n",
"
\n",
"
\n",
"
10
\n",
"
E
\n",
"
female
\n",
"
94
\n",
"
299
\n",
"
393
\n",
"
\n",
"
\n",
"
11
\n",
"
F
\n",
"
male
\n",
"
22
\n",
"
351
\n",
"
373
\n",
"
\n",
"
\n",
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12
\n",
"
F
\n",
"
female
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"
24
\n",
"
317
\n",
"
341
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" dept applicant.gender admit reject applications\n",
"1 A male 512 313 825\n",
"2 A female 89 19 108\n",
"3 B male 353 207 560\n",
"4 B female 17 8 25\n",
"5 C male 120 205 325\n",
"6 C female 202 391 593\n",
"7 D male 138 279 417\n",
"8 D female 131 244 375\n",
"9 E male 53 138 191\n",
"10 E female 94 299 393\n",
"11 F male 22 351 373\n",
"12 F female 24 317 341"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ADMISSIONS"
]
},
{
"cell_type": "markdown",
"id": "0dc8e59e",
"metadata": {},
"source": [
"### Fit Total Effect model to UC Berkeley admissions data\n",
"\n",
"> Don't forget to look at diagnostics, which we'll skip here"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "3f2fe57d",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [alpha]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e6005b798cc84ed6b0cfa4c5405513a7",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
]
}
],
"source": [
"total_effect_model, total_effect_inference = fit_total_effect_model_admissions(ADMISSIONS)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "a4e3f173",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Direct Causal Effect\n",
"_, ax = plt.subplots(figsize=(8, 4))\n",
"\n",
"for ii, dept in enumerate(ADMISSIONS.dept.unique()):\n",
" color = f\"C{ii}\"\n",
" label = f\"{dept}\"\n",
"\n",
" female_p_accept = direct_effect_inference.posterior[\"p_accept\"].sel(\n",
" gender=\"female\", department=dept\n",
" )\n",
" male_p_accept = direct_effect_inference.posterior[\"p_accept\"].sel(\n",
" gender=\"male\", department=dept\n",
" )\n",
"\n",
" contrast = male_p_accept - female_p_accept\n",
" az.plot_dist(contrast, color=color, label=label)\n",
"\n",
"plt.xlabel(\"gender contrast (acceptance probability)\")\n",
"plt.ylabel(\"density\")\n",
"plt.title(\n",
" \"Direct Causal Effect (Institutional Discrimination):\\npositive values indicate male advantage\"\n",
")\n",
"plt.axvline(0, linestyle=\"--\", color=\"black\", label=\"No difference\")\n",
"plt.legend(title=\"Department\");"
]
},
{
"cell_type": "markdown",
"id": "87988130",
"metadata": {},
"source": [
"### Average Direct Effect\n",
"- The causal effect of gender **averaged across departments** (marginalize)\n",
"- Depends on the distribution of applications to each deparment\n",
"- This is easy to do as a simulation"
]
},
{
"cell_type": "markdown",
"id": "a8b85db2-d5ce-4eb7-9558-f0efe4fb1b26",
"metadata": {},
"source": [
"#### Post-stratification\n",
"- **Re-weight estimates** for the target population\n",
"- allows us to apply model fit from one university to estiamte causal impact at another university with a different distribution of departments\n",
"- Here, we use the empirical distribution for re-weighting estimates"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "5aa205d1-a806-40ec-a755-c8bd9721bdf9",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Use the empirical distribution of departments -- we'd update this for a different university\n",
"applications_per_dept = ADMISSIONS.groupby(\"dept\").sum()[\"applications\"].values\n",
"total_applications = applications_per_dept.sum()\n",
"department_weight = applications_per_dept / total_applications\n",
"\n",
"female_alpha = direct_effect_inference.posterior.sel(gender=\"female\")[\"alpha\"]\n",
"male_alpha = direct_effect_inference.posterior.sel(gender=\"male\")[\"alpha\"]\n",
"\n",
"weighted_female_alpha = female_alpha * department_weight\n",
"weighed_male_alpha = male_alpha * department_weight\n",
"\n",
"contrast = weighed_male_alpha - weighted_female_alpha\n",
"\n",
"_, ax = plt.subplots(figsize=(8, 4))\n",
"az.plot_dist(contrast)\n",
"\n",
"plt.axvline(0, linestyle=\"--\", color=\"k\", label=\"No Difference\")\n",
"plt.xlabel(\"causal effect of perceived gender\")\n",
"plt.ylabel(\"density\")\n",
"plt.title(\"Average Direct Causal of Gender (perception),\\npositive values indicate male advantage\")\n",
"plt.xlim([-0.3, 0.3])\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "e76b8356-de62-487b-9a64-7f68a0d91e36",
"metadata": {},
"source": [
"To verify the averaging process, we can look at the contrast of the `p_accept` samples from the posterior, which provides similar results. However, looking ath the posterior obviously wouldn't work for making predictions for an out-of-sample university however."
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "0afd9483-580a-4c93-b593-7b2eea6b2f1d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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gHk/auHEjPj4+tGvXLsd4hBCGT/qsCCEKjUaj4bvvvmPgwIGcPn2aNm3aULVqVWJjY/Ud3bt3756p6cb58+dZu3YtpqamlC9fHhsbGx4/fqxv+tOtWzeaNGmS6TwdO3bk0KFDTJkyhd9++w1HR0cAPvvsM/0XmenTpxMdHc2xY8fo2bMnZcqUwdXVlYSEBB48eEBiYiKQPjO6Wq+9oEyfPp2wsDD+/fdf+vTpg6enJ6VKlSI4OJiwsDA8PT15++23VYkzN2X1LBlfds+fP8+rr75KhQoVMDExwc/PDxcXF0aMGMGPP/6YZb/Cureyo0b5ZyQrY8eOZdasWRw/fpzy5csTFBREeHg4lpaWfP/991SrVi3TfqNHj+bff/9l0KBB1KpVC0dHR65du8YXX3xBlSpVuHPnDgEBAbzyyis5njs329y9e5eAgAACAgKoWbNmlvUZwypfv36dcuXKZWkeFxoaiqmpqX7OmuvXr2NtbU358uVzdX2EEMWTJCtCiEJVvnx5Nm3axLJlyzhw4IC+023Dhg3p06cP3bp1y/Qr76effsr+/fs5d+4cQUFBPHjwADc3N1q0aEH//v1p27ZtlnP06NGD6Oho/vjjD+7fv6/vm/JkJ3MbGxt++ukntm/fzubNm7ly5QpXr17F0dERHx8fGjVqxMsvv5xjx+SieO0FxcHBgTVr1rB+/Xq2bduGn58fYWFhuLq60qFDB3r27KlanLkpq2cxNTVl+fLl/Pjjj+zevZsHDx7g7OxM7969GT16tH6Ok/8qrHsrJ0V5XaOioggKCsLd3Z0hQ4ZgZ2fHqlWr8PPzw8HBge7du/Pee+9lSQAuXrzIwYMHWbp0Ka1bt9Yv37t3LwDVqlXT1165ubnleP6MZmdP2yajid38+fNxd3fPsj5jYIOrV69StmzZLOt3795NvXr19E3zrl27ho+Pj37kuf/KaCb43+RMCFHM5G/ieyGEEEIYilOnTine3t7K0KFD87Tfrl27FG9vb+XBgwf6ZQ8ePFDq1q2rtG3bVlEURbl9+7bi7e2tbNmyJcfj5GabO3fuKN7e3srhw4dz3CYpKUmpWbOm0qFDh0zLM17fwYMH9cv69u2rfPrppzke65133lG8vb2V06dP57iNEMLwSc2KEEIIUcxl9N+oWrVqnvarUaMGpqamzJw5kzfffJN79+6xfPlyLC0t9c3cKlSoQO3atZk1axbx8fFUqFCBwMBADh06xA8//IBWq831NvXq1WPSpEmMGDGCSpUqERMTw507d3j8+DGffPIJt27dIiUlhcTERL788kteeuklbt68ybx58+jXrx9t2rTRx25nZ8fFixc5ceKEfpCEJ+fmOX/+PLVq1XpqHxohhOGTDvZCCCFEMZfRXyVjVLPc8vLyYvr06Vy9epURI0awZ88e5syZg6Io+mRFq9WyYMECmjRpwrx58xg6dCiLFi2icuXK+iZYudlGo9Ewf/58WrVqxZIlSxgyZAhTpkzhzJkzNG3aFEhvApbRzO/GjRsMGzaMn3/+mWHDhjF58uRMsX/wwQeYmZkxbNgw+vbtq+93Bul9aCIiInjrrbfyd0GFEAZDoyjPMb2wEEIIIVT36quvcvnyZTZu3Jht5/Xi4ssvv+T06dNs3bpV7VCEEAZCalaEEEKIYkyn03Hr1i20Wq1+UtDi6tq1a1mGjxZCGDfpsyKEEEIUY1qtlgsXLqgdxnNTFIXr16/z8ssvqx2KEMKASDMwIYQQQgghhEGSZmBCCCGEEEIIgyTJihBCCCGEEMIgSbIihBBCCCGEMEiSrAghhBBCCCEMkiQrQgghhBBCCIMkyYoQQgghhBDCIEmyIkQxMW/ePHx8fJg3b16R7lvSfPLJJ/j4+LBx40a1QykwPj4++Pj4FNn53nzzTXx8fDh16lSm5SXx2hY3OZVNceHv74+Pjw/t2rVTOxQhhIGQSSGFKOb8/f3ZtGkTnp6e9OrVS+1whFDNqVOnOH36NI0aNaJx48ZqhyOMjDyLhSgcUrMiRDFRqlQpKlasSKlSpTItDwgIYP78+WzatCnP+4qSoWLFilSsWFHtMHB1daVixYrY2dmpcv7Tp08zf/58Tp8+rcr5hXHLzbNYCJF3UrMiRDExYMAABgwYUOT7CsO3a9cutUMAYNy4cYwbN07tMIQQQpQgUrMihBBCCCGEMEhSsyLEEzI6Kd+4cYOtW7eyatUqbt++jZmZGQ0aNODDDz/E29s7233j4+P5+eef2blzJw8fPkSr1VK5cmV69OhB3759MTXN+nY7e/YsK1eu5Pz580RGRmJjY4OzszP16tWjT58++Pr66redN28e8+fPZ+TIkYwaNQpI70yb0eTl9OnTmTpZe3p6cuDAgRz3nTVrFitWrKB///588cUX2b6mmzdv0rVrV5ycnPj7778zvYbIyEhWrlzJ/v378ff3R6PRULVqVXr37k3v3r3RanP3W8jo0aPZvXs3H3/8MW+//Xa22xw4cIARI0ZQo0YNfROLtLQ0Dh48yP79+7l48SLBwcGkpqZSpkwZ2rZty9ChQ3FycspVDJDeOXzTpk3MnDkz2/bm2V3DJ92+fZuffvqJU6dO8ejRI2xsbKhTpw5vvfUWTZs2zbJ9REQES5cu5eDBgwQEBGBiYoKTkxMVK1akXbt29O/fP9exP3nfPqldu3YEBASwf/9+wsLCmD9/PhcuXCAlJYUaNWowatSobGMDCA8PZ+7cuezfv5/IyEjKlClDt27dGD58eI5xPOsa3rlzh5UrV3Ly5ElCQkKwsrLC09OTNm3a0K9fP9zc3PTbHjt2jP3793P27FmCg4NJSEigdOnSNG/enHfeeYcyZcpkew0A5s+fz/z58/V/9+zZk6+//lr/t6Io7Nixgz/++IOrV68SFxdH6dKladu2Le+88w6urq45vsb/8vf358UXX9S/3zZs2MCvv/7K3bt3sbe3p0OHDnz44YfY2tqSlpbGqlWr+PPPP3n48CGOjo5069aN0aNHY25unum4iYmJ7Nu3j/3793P16lUePXoEQLly5ejQoQODBw/G2to613FmuHjxIitXruTs2bNERERgb29PgwYNePfdd6lRo0aejvXw4UN27tzJ33//zYMHD3j8+DG2trbUrFmTN998kzZt2uS47+nTp1m4cCEXL15Eo9FQo0YN3n33XcqXL59l24MHD/Luu+9StWpVtm3blu3x0tLSaNmyJY8fP+avv/6iWrVqQPozbNeuXRw7doyAgAAiIyNxdHTE19eXIUOGUK9evSzH2rhxI59++ik9e/Zk2rRpLFmyhC1bthAcHIyTkxOvvPIKH3zwQabrn9tncXR0NLt37+bAgQPcunWLkJAQzMzMqFSpEl27duWNN97I9rMC4MGDB/z4448cP36chIQEKlSoQL9+/Xj99dczvdfLli2bab+CvN+FUIMkK0JkY9myZXz77be4urpSqVIl7t69y/79+zl27BjLly+nQYMGmbYPDw9n0KBB3Lx5E61WS9WqVUlNTeXixYtcvHiR/fv3s2jRIiwsLPT77Nu3j1GjRqHT6XB0dMTHx4eEhASCg4P5448/sLa2zpSsZMfb25vIyEhu3ryJra1tpkTqWR9AXbp0YcWKFezatYvPP/8cExOTLNtkfDF45ZVXMn2A+vn58fbbb+s/aMuXL09ycjIXL17kwoULHD16lDlz5qDRaJ4aQ0Ycu3fvZvv27TkmK9u3bwegc+fO+mWhoaG8//77aLVanJ2dKV++PAkJCQQEBLB8+XJ27drF+vXrcXFxeWYMz2vHjh18/PHHpKSkYGNjQ5UqVQgLC+Pw4cMcOXKEzz//nDfffFO/fUxMDK+99hoPHjzQXz8LCwuCg4M5duwYFy5cyFOy8iyHDh3i66+/xsbGBi8vLx48eMC5c+cYOnQoK1asyNIZPTQ0lNdff52HDx9iampK1apVSUhIYO7cuVy6dAlFUfIcw5YtW/jss89ISUnB0tKSKlWqkJCQgJ+fH1euXKFs2bKZEpxhw4ah0+lwcnKiTJkypKWl4e/vz9q1a9m1axe//vorVapU0W9fr149goKCCAoKwsPDAw8PD/26ChUq6P+dkpLC+PHj9U3n3NzccHd35/79+6xZs4Zdu3axZs2afPUB+vrrr1m5ciXlypWjXLly3LlzhzVr1uDn58fKlSsZPXo0+/bto3LlypQpU4Z79+6xbNkyQkNDmTVrVqZjXb58mXHjxmFqaoqLiwuVKlUiNjaWW7ducf36dfbt28dvv/2GpaVlruP7+eef+frrr1EUBUdHR6pWrUpgYKD+y/P333/Pyy+/nOvjLV68WP+scnNzw8fHh5CQEI4ePcrRo0cZN25ctsnt9u3bGT9+vP7ZV7ZsWW7evMnQoUMZM2ZMlu1btGiBo6Mjfn5+3LhxI9uR706cOMHjx4+pUqWKPlEBmDFjBidOnMDe3h5XV1fc3NwIDAxk7969HDhwgFmzZtG1a9dsX19KSgpDhgzh7NmzVKlSBU9PT+7fv8/PP/+Mn58fK1as0G+b22fxwYMHmThxImZmZri5uen3u3z5MhcvXuTYsWMsWrQoy489169f58033yQ6OhpLS0sqV65MZGQkU6ZM4fbt2zmWUWHe70IUGUUIoeft7a14e3srNWvWVFasWKGkpaUpiqIo8fHxyrhx4xRvb2+lbdu2SkJCQqb9Ro0apXh7eyudO3dW7t+/r19+8eJFpVmzZoq3t7cye/bsTPt06dJF8fb2Vn799VclNTVVv1yn0yknT55U9u/fn2n7uXPnKt7e3srcuXMzLT958qTi7e2tDBgwIMfXldO+r7zyiuLt7a38/fff2e7Xrl07xdvbWzl79qx+WVxcnNK+fXvF29tb+fLLL5WYmBj9Oj8/P6Vz586Kt7e38ssvv+QYz5OSkpKU+vXrK97e3sqdO3eyrI+Pj1d8fX0VHx8fJTAwUL88Ojpa2bhxoxIREZFp+6ioKGXatGmKt7e38sknn2Q53oQJExRvb2/lzz//zNXyDDldw2vXrim1atVSateuraxbt05/zyiKouzfv1+pV6+eUr16deXatWv65cuXL1e8vb2VIUOGZIk/ICBAWblyZbYx5CTjvv2vtm3b6u/nJUuW6O+z5ORk/f3cp0+fLPu9//77ire3t9KzZ89M1/z48eNK3bp1lZo1ayre3t7KyZMnM+2X0zW8ePGifp/Zs2crcXFx+nXJycnKtm3blDNnzmTaZ+3atUpwcHCmZQkJCcqiRYtyvN9zKqMnffvtt4q3t7fSo0cP5erVq5mOPWXKFMXb21vp1atXjvv/18OHDxVvb2+lRo0aSv369ZXjx4/r1924cUNp1KiR4u3trbz33ntKq1atMp3z5MmT+uvi5+eX6bj+/v7Kjh07lNjY2EzLHz16pH/ezJs3L0s8AwYMyLZsDh8+rPj4+CiNGzdWdu/enWnd+vXrlRo1aih169ZVQkJCcv3aDx06pJw/f17R6XSZlp85c0Zp3ry5Ur169UzPQ0VRlODgYMXX11fx9vZWvv32WyUlJUVRlPT7YMaMGfrr0bZt20z7TZo0SfH29la+++67bGP55JNPFG9vb2XhwoWZlu/cuVO5fv16pmU6nU7Zu3ev4uvrq9SrVy/TM0xRFOXPP//Uv286deqU6bn077//KvXq1VO8vb2Vw4cPZ9ovN8/ia9euKQcPHlSSkpIyLX/w4IHSv39/xdvbW9m4cWOmdWlpafrPi6FDhyqRkZH6dbt27VJq1aqlv24PHz7MtG9B3+9CqEH6rAiRjZYtW/LWW2/pf92ysrJixowZuLq6EhAQoP+lH+DevXvs2bMHgNmzZ1OuXDn9utq1azNx4kQAfvvtN2JjYzPt5+DgwBtvvJGpVkOj0dC4ceMimWcgo6biydeT4fz58/j7++Pp6ZmpqcSff/7JgwcPeOmll5g4cSK2trb6dVWqVOHbb79Fo9GwcuXKXMVgbm7OSy+9lGMcBw4cID4+nvr162f6tdzOzo6ePXvi6OiYaXt7e3smTZqEh4cHO3fuJDU1NVdx5NeCBQtITk5m/PjxvPbaa5l+EW3Xrh1jxowhLS2N1atX65ffu3cPgDfeeCNL/GXKlGHw4MEFGmOLFi0YPny4/j4zMzPjs88+w9zcnAsXLhAVFaXf9v79++zbtw9Ibyr45DVv2rQpo0ePJiUlJU/nnzdvHikpKbz66qt89NFHmZrPmJmZ0blz5yy1lX379qV06dKZlllaWvLuu+9Sv359Tp8+TUhISJ7iCA8P5+eff8bW1pZFixZRvXr1TMeeNGkStWvX5vLly5w9ezZPx05NTWXkyJGZmtV5e3vTt29fIL0mddKkSZnO2bhxY31NxtGjRzMdz9PTk44dO2JjY5NpuaurK7Nnz8bMzIytW7fmOr4ff/wRRVGYPn16ltqTPn36MHDgQOLi4tiwYUOuj9m6dWvq1KmTpQa1QYMGfPDBB6SlpbFjx45M637//Xfi4+OpXbu2vuYI0u+DTz/9lEqVKmV7rozaj+yeEcnJyezduxfIXPsK6bXC/62J0Wg0tG/fnkGDBhEbG8vBgwezPWdqaipff/11ploHX19f+vTpA8CRI0ey3e9pqlWrRps2bbI0+/Py8mLGjBkAWcr12LFj3Lx5E0dHR77//nscHBz06zp06MDw4cOzfU8W5v0uRFGSZmBCZCO7Jjjm5ub07t2bRYsWcfToUV599VUg/YNEURTq16+fbZvvDh064O7uTnBwMP/88w+tWrUCwMPDgwcPHnDs2DGaN29euC8oB127dmXevHns3buXqVOnZvoAzWgC1qlTp0xfRjISs4wP7P+qVq0anp6ePHz4kODgYNzd3XMVx8aNG9m2bRsjR47MtC4jji5dumS774kTJzh48CD37t0jLi4OnU4HpDe1SkhI4P79+1SuXPmZMeRHcnIyhw8fxsTEJMd5Fdq1a8eXX37JmTNn9MsyEoB9+/bRunXrHNuoF5TsysrJyQlPT0/u3r3Lw4cP9V+Ajh49iqIoNGzYkKpVq2bZr3fv3nz77be5TlgSExM5fvw4AEOHDs1T3JcuXWL37t3cunWL2NhY0tLSgPSECtKbxvw3oXmaw4cPk5ycTLt27bK9L7VaLW3atOHSpUucPn06SwL1LL17986yLKNJkqOjI+3bt8+yvnr16mzfvp2HDx9mWafT6Thw4ADHjh3j4cOHxMfH65vgaTQa7t27R0JCAlZWVk+NKyAggCtXruDs7MyLL76Y7Tbt2rVjxYoVme7T3AgPD2fr1q1cvHiRx48fk5SUBKD/Yeb69euZts9Iyl5//fVsj/fGG28wefLkLMsbNGiAh4cH/v7+nD9/PlMT2cOHDxMTE0OdOnUy/ViUITAwkG3btnHlyhUiIiL09254eLg+xuyaglWvXp3atWtnWZ6xzN/fP9vX8CzJycns3r2bU6dOERQUREJCQqamlf+9Zhnvn5dffjnbYcF79eqVqY9WhsK+34UoKpKsCJGNnL7cZizP+GX8yX8/2X7+SVqtlkqVKhEcHMy9e/f0ycqgQYOYNm0aQ4YMoWbNmjRr1oz69evTsGHDTLUVhal8+fLUrl2bS5cucfjwYX0Nh06n07dx/m+ScPPmTQDmzJnD4sWLsz1uREQEACEhIblKVpo0aYKrqyt3797l6tWr+qQvOjpa37G/Q4cOmfZJTk5mzJgx+lqAnERGRj7z/Pl17949kpKSMDMzY9iwYdluk/El5MlagF69erF8+XI2btzIkSNHaNmyJfXr16dJkyZ4eXkVeJzZfYEDcHZ25u7du8THx+uXZdzPOf3CbWtrS+nSpXP9Re3+/fukpKRgb2+f4zH/S1EUpk2bxm+//fbU7Z6sEcqNjHv3woULOX5Zfvz4MUCea22cnJyyfd9mDPKQU7lmrH+yDCD93h8+fDj//vvvU88bHR39zGQl43UnJSXl+Lozkoy8vO6jR4/y4YcfEhMTk+M2/y2jjPvrWc/Y/9JoNHTq1Inly5ezbdu2TMlKxg8a/61VAdi0aROTJ0/Wv77cxJjhWWUWFxeX4zFzEhgYyJAhQ7h7926u48m4Ztn11YH0WjhbW9tMNfdQuPe7EEVJkhUhsuHs7Jzt8ozO2k9+SGV8yXjayFMZx3tyv/79+2NjY8PKlSu5cuUKV65cYdmyZVhYWNC9e3c+/vjjIplcr0uXLly6dIlt27bpk5VTp04RGhqapbMq/O8X0ytXrjzz2ImJibmKQavV0rFjR1avXs22bdv0ycru3btJSUmhdevWWa7v0qVL2bdvH66urowfP56GDRvi6uqqrx16/fXX+eeffwq1GVjGl7SUlBT++eefp2775Jel0qVLs27dOubMmcOhQ4fYtGmTfpQzX19fPvnkE+rWrVtgceb0ZTajydqTv+rm5n52cXHJdbKScb/k5V7+66+/+O2337C2tuajjz6iefPmlC5dWt+ZfPz48WzdujXPZZtRXhkd8Z/maV9us5PTNc6olXzWeuU/gxbMnDmTf//9l4oVKzJ27Fjq1KlDqVKl9Pd3q1atCAkJyVUNV8brjo2NzdN9+jTR0dGMHTuWmJgYevTowRtvvEHFihWxtbVFq9Vy/Phx3nrrrSxl9Kz7K6dnL6TXwGYMnvHpp59iYmJCXFwchw4dQqvV0qlTp0zbP3jwgEmTJuk7ynfr1g0vLy9sbGzQaDRs2LCBiRMn5ngf5TTaWm5HOszOJ598wt27d6lTpw6jRo2ievXqODg4YGZmRmpqKjVr1swST0JCAkCWJoFPsrGxyZKsFOb9LkRRkmRFiGyEh4dnWyOQ8SvUkx8aGR9oGU0KspPdfgA9evSgR48ehIaGcubMGY4dO8aOHTtYv349oaGhOdZcFKROnToxa9YsDh06RGxsLLa2tk/9pdLa2pro6Gj27NmT7TCj+dWlSxdWr17Njh07+Oijj9BoNNmOApYho133zJkzadmyZZb1wcHBeTp/Tl8aM/z3l2/4X3mWLl06z+3XK1euzNy5c0lOTubff//lzJkzbN++nfPnzzNkyBC2bt2aZQjSopCX+zk3Mq7R0359/6+Msp0wYQL9+vXLsj6vZZsh47W9++672Y46ZShSU1P1NZsLFy7MUiOVmppKWFhYro+X8brr1avH77//XiAxHjlyhKioKOrWrcvXX3+dpd9KTl+Ora2tiYmJITw8PNsav6fdd9WrV6dy5crcvn2b06dP07RpU/bt20diYiJNmzbNMgLizp07SUlJoXPnzkyYMCHL8Z71Bb6ghYSEcOrUKaysrFi6dGmW/mo5xZOR6Gb3DMqQXS1PcbnfhXgW6WAvRDZyGgoyY/mTQ6Fm/PvWrVvZ7qPT6bhz506W/Z7k6upKp06dmD59Ohs2bECr1XLw4EH93ApPk5vhgZ/Gzc2NRo0a6ed1eLKzanb9RDKaafj5+T3Xef8ro715UFAQ586dIzQ0lNOnT2NpaZltW/+AgACAbGsgIiIi8tysIeMLQU5flh48eJBlWfny5TEzMyM0NDTfzc3Mzc1p3LgxI0eOZNu2bdSrV4/4+PhsOxIXhYx7NKdmKnFxcXlKFipUqICZmRnR0dH698GzZNTaZFe2KSkpOb4/n/VeyGiqWdD3bkELDw8nPj4eR0fHbJvO+fn56fvv5EbG675z546+T9fzynj/+fr6Znvd/9vvIkPG/ZXTvfC0YXjhfz9cZCS0T+vT9rRnxNNizK9n3X+BgYFAehPL/yYqkHWepAwZ1yyn9YGBgVlqVaD43O9CPIskK0JkI7u28snJyfzxxx8AmTrEt2jRAo1Gw7lz57h69WqW/fbs2UNwcDDW1tbZTkD2X1WqVNE3mclNspLRNCa3Ta6yk/FBv337dv0vpi+88EK2v3xmjCS0evXqfM238TQZX0S2bdvGjh07SEtLo23bttk2f8h43dn9yr9y5co8fZmD/7VPv3TpUpZ1wcHBWUZrgvQEp0WLFuh0OtasWZOn82XHxMRE33k3N2VfGFq0aAHAmTNnsk3AN2zYkKfRwCwtLfXHfHJeimftA9mX7caNG3NMKDPmMcrpvdC6dWvMzMw4cuRIpn5nhibj9cfGxmb7Wn766ac8Ha9ChQr6+Tw2b95cECHqr3V2NTwRERH6Z+V/ZTw7165dm+36Z9X8ZHSE37t3LyEhIRw/fhxzc/Ns54d5Woy3b9/OcRSw/HrWs/jJ+zq7Z2dO5Zpxzfbs2ZNtUrJx48Zs9ysu97sQzyLJihDZOHz4MKtWrdJ/oCQmJjJp0iQePXqEh4dHpmZJ5cuX139QTpgwIdOoPleuXOGrr74C0vuoZHTAjY2NZcyYMZw6dSrTL50ZQ9xGRUVhbW2dq4m6MpoK3bp166lNKJ6mQ4cOmJubc/z4cX799Vcg59G3+vbti5eXF6dOnWL8+PFZvlTHxcWxY8cOZs6cmec4Mr6I7Nq1iy1btjw1jvr16wPpE/FlNIFQFIXNmzezYsWKTBNw5kbGwAf79+/n8OHD+uWPHj1i/PjxOSY/H3zwAebm5ixatIilS5dm+aLy6NEjVq1alelL2A8//MCGDRuIjo7OtO3NmzfZuXMnQJ5nEy8o5cuX58UXX0RRFCZMmJCpFuXUqVPMnz8fMzOzPB3z/fffx8zMjA0bNvD999/r2+BDek3Jjh07Mg2dmlG2P/74Y6Z7+siRI8yePTvHss1IOP/9999s+yGULl2aQYMGkZKSwttvv82pU6cyrVcUhYsXLzJ58uRsR+cqKvb29vqJZWfMmEFycjKQ/nxYunQpO3bsyHMZjB8/Ho1Gw7Rp09iwYUOW6/Pw4UMWLVqkH+3vWTJGjtq1a5d+tCpIv99Hjx6d4/vl9ddfx9ramgsXLvDjjz/q40hJSWHWrFk51lBnKFeuHC+88ALR0dF8/vnnpKam0qpVK+zt7bNsm3Ef/f7771y7dk2//O7du3z44Yd5vobP8qxncZUqVXBwcCA4OJhFixbpP1+SkpL46quvsv2xC6BZs2b4+PgQERHB+PHjMz039u3bx9KlS7N9LcXlfhfiWaTPihDZ+OCDD5gxYwbLli3D3d2du3fvEhsbi4WFBd98802WzrJTpkzh7t273Lx5kw4dOui/aGR88DZr1oxRo0bpt9fpdOzYsYMdO3ZgbW1NuXLlMDU1JSAggIiICDQaDZ999tlTO1RmcHJyokmTJpw8eZL27dtTpUoVLCwscHFx4YcffsjV67W3t6dVq1bs27eP48eP6zu8Z8fGxoYlS5YwfPhwfQ1IRsfaqKgoHj58SFpaGnXq1MnVuZ9UuXJlqlevzrVr14iIiNDHlZ1Ro0Zx/PhxDhw4QKtWrShfvjyhoaE8evSI7t27ExQUxOnTp/N07t69e/PHH38wfPhwypYti52dHX5+fpQrV47XX38901wpGapXr87333/PRx99xHfffcf8+fOpVKmSvnlYRjv0J0cL8/PzY/HixXzxxRd4eXnh4OBAVFSUfkjexo0b071797xcugI1efJkrl+/zuXLl2nfvj1Vq1YlPj6ee/fu0aZNG+Li4vI0xG3t2rWZPn06n3/+OUuWLGH16tVUqlSJxMRE/P39SUpKYubMmfovwEOHDmX79u1cuHCBtm3bUrFiRaKjowkICKBx48a4ubllO8dIixYtcHBw4Ny5c7Rp0wYvLy9MTU1p2bKlfib1MWPG8OjRI7Zs2cLAgQNxdXXFw8OD5ORkHj58qE98Bw4cWABXMv/Gjh3Le++9x7p169i9ezdly5bVPx/ee+89/vrrL30zp9xo3bo1kyZNYvr06UycOJGZM2dSoUIFNBoNwcHB+tqHKVOm5Op4tWrVokOHDuzevZu33nqL8uXLY21tjZ+fHxYWFowbN04/b8iT3N3dmTp1Kh9//DGLFi1i7dq1lC1blocPHxIdHc2YMWP47rvvnnruLl26cPHiRf7++28g+z5tAO3bt8fX15fz58/z6quvUqFCBUxMTPDz88PFxYURI0bw448/5ur15saznsVmZmZ88MEHTJs2jTlz5vDbb79RunRp/bDrX375pX5eridptVpmz57Nm2++ycGDB2nVqhWVK1cmIiKCgIAA3nzzTQ4cOEBAQECmObug+NzvQjyN1KwIkY1hw4bx7bff4u7uzq1bt9BoNLRr147169fTsGHDLNs7OTmxbt06Ro8eTeXKlbl37x6BgYHUrl2bSZMmsXTp0ky/BtvY2DB79my6d++Ou7s7AQEB3Lp1CwcHB7p168bmzZtznMckO9999x29evXC1taWK1eucPr0aS5cuJCn1/xkDUbGF8KcVK5cmb/++otx48ZRu3ZtQkJCuHbtGikpKTRs2JAJEybw/fff5+n82cXx8ssvZ5k8LUOtWrX49ddfad68OTqdjrt37+Ls7MzEiROZNWtWvs49depURo8eTbly5QgJCSE8PJy+ffuybt26bH+5zfDSSy+xfft2Bg4cqJ+75NatW1haWvLSSy8xa9Ys/ZdlgBEjRjB8+HBq165NfHw8165dIzExkUaNGjFr1ixWrFhR6HOvPE3p0qX5448/6NevH46Ojvqke/To0cyfPz9f/aS6d+/O5s2b6dWrF6VKleLmzZuEh4dTpUoVRo0alWmQhDJlyrB27VpefvllzMzMuHPnDhYWFowaNYqffvopx2tja2vL8uXLadWqFSkpKZw/f57Tp09n6h9hamrKN998w9KlS/V9oa5du0ZoaCgVKlRgwIABrFmzJle1moWpXbt2LFu2jLp165KYmMjdu3cpX74833zzDR988EG+jtm/f3/9s8XJyYlbt25x//59SpUqRZcuXZgzZw49evTI9fG+/fZb3nvvPTw9PQkMDCQsLIwOHTrwxx9/ZBlF8EndunVj1apVNG7cmKSkJO7cuYO3tzfLli3LMqJXdjp16qT/Um5tbZ3jBLqmpqYsX76cN998E2dnZx48eEB0dDS9e/dm48aNeZqjJ7ee9Szu378/33zzDdWrVycyMpIHDx5Qq1Ytli5d+tRnfrVq1fjzzz/p3LkzFhYW+Pn5YWNjwxdffMHEiRP1ne//+wNXcbnfhXgajVLQjc6FKMYyxrHPqSOjEEIIYUgiIiJo0qQJ9vb2eZ7UU4jiQGpWhBBCCCGKqYwO9gU5N5MQhkSSFSGEEEIIA3bjxg3WrVuXaT4VRVH466+/mDNnDkC2cxIJURJIB3shhBBCCAMWGRnJF198wdSpUylTpgyOjo48fPhQP79T3759c+y7I0RxJ8mKEEIIIYQBq1KlCkOHDuXYsWMEBQURFBSEra0tTZs25bXXXsvVwARCFFfSwV4IIYQQQghhkKTPihBCCCGEEMIgSbIihBBCCCGEMEglLlmJjIxEWraVbIqiSDkbCSlr4yDlbByknI2HlLVxKKryLXHJirwxjIOUs/GQsi7ZEhISaNu2LV26dCEhIUHtcEQhk/ez8ZCyFgVFRgMTQgihGp1Ox+HDh/X/FkIIIZ5U4mpWhBBCCCGEECWDQdasKIrC3r17WbNmDXfv3iUmJgZ3d3caN27MsGHD8PLyUjtEIYQQQgghRCEzyGRl1qxZrFy5EldXV1588UVsbW25fv0669evZ9u2baxduxZvb2+1wxRCCCGEEEIUIoNLVkJDQ1m1ahWenp5s2bIFW1tb/bqff/6ZmTNnsnLlSmbOnKlilEIIIYQQQojCZnDJSkBAADqdjnr16mVKVADatGnDzJkzCQ8PVyk6IYQQQoj8S0tLIyUlRe0wCpWiKCQnJ5OYmIhGo1E7HJFHpqammJiYGEzZGVyyUr58eczMzPjnn3+IjY3NlLBkjBjTpEkTtcITQghRwKytrdUOQYhCpygKwcHBREZGqh1KkdDpdPLjcjFmYmKCm5sbDg4OqictBpeslCpVijFjxjB79mw6depEu3btsLGx4ebNm5w4cYK+ffsyYMCApx5DxvYu2TLKV8q55JOyLvmsra2JiYkhKioKa2trKesSzNjfz0FBQURFReHq6oq1tbXqXwALW1paGiYmJmqHIfJIURRSU1OJiYkhKCiI+Ph4PDw8cty2KO5jjWKgT42tW7fyxRdfEB8fr19Wt25dxo8fT4MGDXLcLyIioijCE0IIIYTIFZ1OR1BQEG5ubjg5OakdjhC5Eh4eTmhoKO7u7mi12c92UqpUqUKPw+BqVgAWLlzIwoULGTlyJD169MDe3p5r167x9ddfM3DgQH788UdefvnlHPc3hCorUXgURSEqKkrK2QhIWRdvSloaMXvPkhIYhtbKArtXGmNayi7rdlLORsGYyzkxMRETExNsbW2NprZBalaKP1tbWx4/foy1tTWWlpZZ1hdVfYfBJSsnTpxgzpw5DB48mHfffVe/vH79+ixZsoQXX3yRmTNnPjVZ0Wg0RvcgNEZSzsZDyrr4iTn0LwEfLSD5dqB+mcbCDOe3u+D+xWC05mZA+pe4V199lZSUFP766y+srKzUClkUEWN8P2e8Xq1WaxSv/ckvscbwekuqjNoUtd+zBjeDfUYn+saNG2dZ5+TkhI+PD4GBgdJpSwghDFTkxsPcfe0Lkm8HYlLKDvsuzbCsWRElKYWwhZu402UCqeHRQPqvrzt27GDv3r2kpaWpHLkQQghDY3A1KxnD+eWUjGQsNzc3L7KYhBBC5E7ssUs8GP4N6HQ4vtoazx9GY2JrhaIoRO86hf973xN/9jr3+k6m0maZL0sIIcTTGVzNSr169YD0CSBjYmIyrdu0aRP379+nZs2aWeZgEUIIoa7UyBgevvP/iUqftngt+QgT2/RmXRqNBoeOTai881tMStkRf+4GD96ZbbQjQwlRUmzcuBEfHx9q165NQEBAlvVvvvkmXbp0KbDzzZs3Dx8fH/1/derUoVWrVrz99tusWbOG2NjYLPt88skntGvXLtOyyMhIxowZQ9OmTfHx8eG9994DwN/fn+HDh9OoUSN8fHyYPn16gcUu8sfgalZeeeUV1q5dy+nTp3n55Zdp164d9vb23Lhxg2PHjmFubs5nn32mdphCCCH+I2jiT6QEhmFeuQye341Ek83oMZbVylFh7VTudJtA9I6TaFbtVCFSIURBS05O5scff+Sbb74pkvP99NNP2NnZkZKSwqNHjzhx4gTffPMNy5cvZ/HixVSrVk2/7XvvvcfAgQMz7b9w4UL27t3LjBkzKFeuHA4ODgDMnDmTCxcuMGPGDFxcXHB1dS2S1yNyZnDJiomJCcuXL2fVqlXs3LmT7du3k5KSgrOzM126dOGdd97B29tb7TCFEEI8IeHqXSJ+3weA14Jx+hqV7Ng0rIbHlCEEfrqE4Gk/F1GEQojC1LJlS7Zt28bbb7+Nj49PoZ+vZs2amYaB7ty5MwMGDGDAgAGMGDGC3bt367sMlCtXLsv+fn5+lCtXjm7dumVZ/sILL9C+ffsCiVNRFJKSkrIdTUvkjsE1A4P0/ijDhg1j48aNnD9/nitXrnDkyBG+++47SVSEEMIABX+5ChQFh24tsGlU/ZnbOw/vht2L9VGSU4ogOiFEYRs6dCiOjo65qllJSkriu+++o127dtSqVYuWLVsydepUoqOjnyuGatWq8e677xIYGMiOHTv0y59sBubv74+Pjw/Hjx/n9u3b+uZkp06dwsfHh/v373PkyBH9cn9/fwBiY2OZNWtWppinT5+eaT5AAB8fH6ZNm8bvv/9Ox44dqV27Nps2bQLg3r17jBs3jqZNm1KrVi06duzIr7/+mmn/jDi2bdvGDz/8QIsWLahXrx6DBw/mzp07WV7zkSNHGDRoEPXr16dOnTp07NiRJUuWZNrm0qVLvPvuuzRq1IjatWvTo0ePTNfH0BlczYoQQojiJf7CLWJ2nwYTLe4TBz57B9L7sHh++z6Pmpwv3OCEMHBxcXE5rjMxMcn0i/zTttVqtZmG/s7LtvHx8VhbW+c25GzZ2NgwYsQIpk+fzsmTJ2nYsGG22ymKwnvvvcfJkycZPnw4DRo04MaNG8ybN4/z58+zbt265xpEqV27dnzzzTecOXOGHj16ZFnv5ubGunXrmDp1KjExMXz77bcAVKlShXXr1jFy5Ei8vLyYMGGCfvuEhAQGDBhAcHAw7777Lj4+Pvj5+TF37lxu3rzJzz//nGlo33379nH27Fnef/99XFxccHZ25tatW/Tr1w8PDw8mTJiAq6srR48e5auvviIiIoKRI0dmivP777+nXr16TJ8+ndjYWL799ltGjBjBjh079PPXbNiwgUmTJtGwYUOmTp2Ks7Mzd+/exc/PT3+ckydPMnToUOrUqcOUKVOws7Njx44djBkzhsTERHr16pXva11UJFkRQgjxXMIWbwbAsWcrLKqUzfV+5uXdqTjhTS5MS8OkdCmsNDKBnDA+TxswqFOnTmzfvl3/t5ubW5Zf8jO0bt2aQ4cO6f+uUKECYWFh2W7boEEDzpw5o/+7Ro0a3Lt3L2+BZ6Nfv36sXr2ab7/9lrVr12a7zdGjRzl69CgfffQRQ4cOBaB58+a4u7szZswYNm/ezGuvvZbvGDw9PQF49OhRtuvNzc3x9fXF1taWlJQUfH199et8fX0xNzfH3t4+0/KlS5dy48YN1q9fT+3atQFo2rQppUuXZvTo0Rw5coTWrVvrt4+Pj2fr1q36fjAAb7/9NjY2Nvz+++/6Mm/evDnJycksXbqUN998M9P2VapU0SdSkJ5gfvjhh1y6dAlfX1/i4uL4+uuvqVevHqtXr9YnS02bNs30eqdOnUrVqlVZtWoVpqbpX/tbtmxJREQE33//PT169MhxdnpDYdjRCSGEMGgpweFEbTwCgMuIHnne32VET8zKlSYtJIKwpVsKODohRFEyNzfnww8/5PLly+zatSvbbU6ePAmQ5Rf9jh07Ym1tzYkTJ54rhsIYYfDgwYNUrVqV6tWrk5qaqv+vRYsWaDQaTp8+nWn7Jk2aZEo8kpKSOHnyJC+99BKWlpaZjtGqVSuSkpI4f/58pmP8d/SyjH5AgYHpE+3++++/xMbG8sYbb+Q4YeP9+/e5c+cOXbt2Bchy3tDQUO7evftc16YoSM2KEEKIfHu8cgdKSirWjWtgXTfvfQq1FmaU/mQA/u99R+icP3Ae3AnTUnaFEKkQhim7oXYzZDT3yZBTbQGQ5dfxp9WU/Hfbq1evPiXCvOncuTPLly9nzpw5dOjQIcv6yMhITE1NM3WOh/SmoS4uLkRGRj7X+TOGT3Zzc3uu4zzp8ePH+qkzshMREZHp7/+OIBYZGUlqaipr1qxhzZo1uTqGo6Njpr8zmsYlJiYC/5t30N3dPce4M2rWZs2axaxZs3J1XkMkyYoQQoh8UdLSiPhtLwAuw7rm6xiJiYkM/2MRMZobfBVVhdAf1+Mx9e2CDFMIg2ZjY6P6ts/bX+VJGo2G8ePHM2TIENavX59lvaOjI6mpqYSHh2dKWBRFISwsTN/MKr8OHDgAQKNGjZ7rOE8qVaoUFhYWzJgxI8f1T/pvTYe9vT0mJiZ0796dN954I9tjlC2b+ya0gP7aBQcH57hNRlzvvPMOL730UrbbVKxYMU/nVYMkK0IIIfIl9vAFUgJCMXG0xb5T02fvkI20tDT+/PNPAKY6ViZs6Rach3XDvKzMbSBEcdWsWTOaNWvGwoULs/zy37RpU3766Se2bNnC4MGD9ct3795NfHx8lj4XeXH9+nWWLFmCp6cnHTt2zPdx/qtNmzYsWbIER0dHvLy88ry/lZUVjRs35urVq/j4+DzXAAIZ6tati52dHWvXrqVz587ZNgWrVKkSFSpU4Pr164wdO/a5z6kWSVaEEELkS/j/16o49m6D1vL5P3xtGtdAOX2TkNm/4jX3w+c+nhBCPWPHjqVPnz48fvyYqlWr6pc3b96cFi1a8O233xIbG0u9evW4ceMGc+fOpUaNGnTv3j1Xx79y5Qp2dnakpqbqJ4X866+/cHZ2ZvHixQWSEGQYNGgQe/bsYcCAAQwePBgfHx90Oh1BQUEcPXqUIUOGUKdOnace4/PPP+eNN96gf//+vP7663h6ehIXF8eDBw84cOAAq1evzlNMNjY2TJgwgYkTJzJ48GBee+01nJ2defDgAdevX+eLL74A0jvYDxs2jLfffpuePXtSunRpoqKiuH37NleuXGHu3Ln5vi5FRZIVIYQQeZYWHUf09uMAlHoj++YFeeX2SX9Cek0mYu1+Sn/0OuZepQvkuEKIole9enU6d+7Mtm3bMi3XaDQsXLiQefPmsXHjRhYvXoyjoyPdu3dn7NixuU4yMkYSMzc3x8HBAR8fH8aPH0+vXr2eOsJaflhbW/Prr7+ydOlS1q1bh7+/P5aWlnh4eNCsWTP9CGRPU6VKFTZu3MjChQv58ccfCQ8Px87OjvLly2caSSwv+vTpg5ubGz/99BMTJ05EURQ8PT0zDdncpEkTNmzYwOLFi5kxYwbR0dE4OjpSuXLlAq19KkwapTCGTVBRREQEjo6OOY6MIIo/RVGIjIyUcjYCUtaGK2Ltfh6+9x0W3l54n1ic7/KJi4vTf7GIiYnh0ZsziD18HuchnfH89v2CDFmozJjfz4mJidy9e5eKFSsaxUzmiqKQlpaGiYmJ0ZV1SfKs+1ZRlCIpXxm6WAghRJ5Fbk4frtixZ6sC/bByG/86AOG/7CYl6HGBHVcIIUTxJMmKEEKIPEmNjCH24L8AOPRoWaDHtmlWC+smNVGSUwmd92eBHlsIIUTxI8mKEEKIPInefgIlJRXLGhWw9ClXoMfWaDSU/v/alcerdpIaGlmgxxdCCFG8SLIihBAiT6K2p88w7dCtxXMfy9rampiYGB4+fKif68G2bV2s6nmjJCQRunDTc59DCCFE8SXJihBCiFzTxScSeyi9CZh95/zPh5BBo9FgY2ODjY2Nvu9LptqV5dtIjYh57vMIIYQoniRZEUIIkWuxRy6gJCZj5uWGZY0KhXYeuw6NsKxVCV1sAmGL/yq08whRlErYAKyihDOU+1WSFSGEELkWvfMkAPavNC6QUcCSkpJ46623eP/990lKStIv12g0uI3rB8DjpVtIi4577nMJoRYzMzMA4uPjVY5EiNyLi4tDo9Ho71+1yKSQQgghckXR6YjefRpIT1YKQmpqKqtWrQJg6dKlmdY5dG2GhbcXSTcf8vinbbiN7Vsg5xSiqJmYmODo6MijR4+A9L5aJXn+EZlnpfhSFIXU1FSio6P1E0iamJioGpMkK0IIIXIl4V8/Uh9FoLW1wqZ57UI/n0arxW1cPx6+8w2hCzfh8k53tDYlf0I9UTK5u7sD6BOWkk6n06HVSgOe4srExAQPDw8cHBzUDkWSFSGEELkTvSu9CZhd+wZozYumWYBjz1aEzPqV5DuBPF65A9eRvYrkvEIUNI1Gg4eHB25ubqSkpKgdTqFSFIXo6Gjs7e2lZqUYMjU1NahaMUlWhBBC5Er0zlNAwTUByw2NqQluH76G/+gfCV24EedhXdFaqNt+WojnYWJionqzmsKmKAqJiYlYWloazBdeUXxJ/ZwQQohnSn4QQuLVe2Cixe6lhkV6bsfX2mJWxoXU4HAi1u4v0nMLIYRQlyQrQgghnil6V3qtik2TmpiWsivSc2vNzXB5P735V+i8P1DS0or0/EIIIdQjyYoQQohnitl3FqDIa1UyOA98BRMne5LvBBL111FVYhBCCFH0JFkRQgjxVLrEZGKPXQLArn39Aj22tbU1ISEh3Lx5E2tr6xy309pY4jK8GwCPftxgMJOVCSGEKFySrAghhHiquJNXUBKSMPVwxrJ6hQI9tkajwdXVFRcXl2d2xHUe1hWtjSWJl+8Qu/9cgcYhhBDCMEmyIoQQ4qli/j8xsGtbT9WRfUxL2eE0qCMAj35cr1ocQgghio4kK0IIIZ4q9sD/Jyvt6hX4sZOSknj//ff56KOPSEpKeub2ru/1RGNmStzxy8Sdulrg8QghhDAskqwIIYTIUUpgGInX7oNGg22bugV+/NTUVBYtWsTy5ctJTU195vZmZVwo1e9FQGpXhBDCGEiyIoQQIkcxB/8BwKpuVUyd7FWOJp3r6N6g0RCz+zQJV++qHY4QQohCJMmKEEKIHOn7q7zYQOVI/seisicO3ZoDEDrnD5WjEUIIUZgkWRFCCJEtJS2N2EP/AoXTX+V5uI3pC0DkxsMk3w9WORohhBCFRZIVIYQQ2Ur414+0yFi09jZY1/dRO5xMrF6ojG27+pCmI3TBRrXDEUIIUUgkWRFCCJGtmAPp/VXs2tRFY2qicjRZuY1+FYDw3/aSGhGjcjRCCCEKgyQrQgghspXRX8XWwJqAZbBpWQfL2pVQ4pMI/3mH2uEIIYQoBJKsCCGEyCI1Mob4czcAsGtXv9DOY2VlxZ07dzh//jxWVlZ52lej0eD6Xk8AwpZtRZecUhghCiGEUJEkK0IIIbKIPXwBdDosvL0wL+taaOfRarVUqFCBcuXKodXm/SPJoWcrTD2cSQ0OJ2rjkUKIUAghhJokWRFCCJGFftb6FwuvVqUgaM3NcBnWFYDQhZtQFEXliIQQQhQkSVaEEEJkoijK/zrXF2ITMIDk5GQ++ugjvvjiC5KTk/N1DKdBHdFYW5B4+Q5xf18o4AiFEEKoSZIVIYQQmSTdCiAlIBSNhRk2zWoV6rlSUlL47rvvmD9/Pikp+etzYlrKDqf+LwMQumBTQYYnhBBCZZKsCCGEyCT2cPpEkDaNa6C1slA5mtxxeac7aDTE7D1D4o0HaocjhBCigEiyIoQQIpPYI+lNqWxb+6obSB5YVCqDfacmAIQt2qxuMEIIIQqMJCtCCCH0lLS0J5KVuipHkzeu7/cCIGLdflLDolSORgghREGQZEUIIYRewvlb6KLjMHGwxapOZbXDyRPrxjWwqlsVJSmFxyu3qx2OEEKIAiDJihBCCL3Yw+cBsGn5AhoTE3WDySONRoPLiB4APF6+HV2STBIphBDFnSQrQggh9GL+v3N9ceqv8iTH7i0x83Am9VEEkRsPqx2OEEKI5yTJihBCCAB08YnEn7oKgF0RJStWVlZcunSJY8eOYWVl9dzH05iZ4vz/k0SGLdosk0QKIUQxJ8mKEEIIAOJOXUVJTsWsjAvmlT2L5JxarZaaNWtSvXp1tNqC+UjKNEnk0YsFckwhhBDqkGRFCCEE8L/+KratfdFoNOoG8xxMS9nh1K89AKEyjLEQQhRrkqwIIYQAnkhW2hTdkMXJyclMmTKFr7/+muTk5AI7rvM73QGI2X2apNsBBXZcIYQQRUuSFSGEEKSGR5Nw8TYAti3rFNl5U1JSmDZtGrNnzyYlpeBG77KsWha7lxuCohC25K8CO64QQoiiZdDJyt69e3nrrbdo3LgxL7zwAu3atWPs2LEEBQWpHZoQQpQosX9fBEXBolp5zNyd1A6nQLiM6AlA+G97SY2MUTkaIYQQ+WGqdgDZURSFyZMns27dOsqVK0enTp2wsbHh0aNHnDlzhoCAADw8PNQOUwghSozY/x+yuKhGASsKtq3qYFmzIolX7hK+ehduo/uoHZIQQog8MshkZc2aNaxbt47+/fvz+eefY/KficlSU1NVikwIIUqm//VX8VU1joKk0Whwebc7/qN+5PHSrbiO6InGzCA/9oQQQuTA4JqBJSYmsmDBAry8vPjss8+yJCoApqbyYSOEEAUl+X4wyXeDwESLTdPaaodToBxfbYOpqyMpgWFEbT2mdjhCCCHyyOCSlWPHjhEZGUn79u3R6XTs2bOHpUuX8vvvv3P//n21wxNCiBIn9sgFAKzr+WBib61yNAVLa2mO85DOQPokkUIIIYoXg6uiuHz5MgAmJiZ069aNu3fv6tdptVoGDx7MhAkTnnoMmbG4ZMsoXynnkk/KumjE/v/EiTat6hT5tX7yfIqiFMr5nd7qxKMf1hF/7gaxp69i07B6gZ9DPJu8n42HlLVxUBSlSObkMrhk5fHjxwCsXLmSGjVqsGHDBipXrsy1a9eYNGkSK1aswMvLizfeeCPHY0RFRRVVuEJFUs7GQ8q68CiKQszf6TUr1KlIZGRkkZ4/LS2Nffv2AZCUlFQ4fRLNwLpbc+L+OEzQ3A24zBtd8OcQuSbvZ+MhZV3ylSpVqtDPoVEMLO2dNGkS69evx9LSkj179lC6dGn9Oj8/P7p160bZsmXZu3dvtvtHRETg4OBQrGdfFk+nKApRUVFSzkZAyrrwJd8L4kb9oWjMTKlxex1aG8sij6Eoyjnx6j38Wr4PWi0+/yzH3MutUM4jcibvZ+MhZW0cFEVBqy38HiUGV7Nia2sLQK1atTIlKgBVq1bFy8uL+/fvEx0djb29fbbH0Gg08uYwAlLOxkPKuvDEHUtvemtVtyomtlaqxlKY5WxVsyK2rX2JPXyex8u2UubLoYVyHvFs8n42HlLWoiAYXAf7SpUqAWBnZ5ft+ozliYmJRRaTEEKUVHHHLwFg2+IFVc6fnJzMN998w9y5c0lOTi7Uc7mM6AFA+OpdpMXEF+q5hBBCFAyDS1YaN24MwJ07d7KsS0lJ4cGDB1hbW+PkVDJmWBZCCDXpO9c3U2fI4pSUFCZMmMCUKVNISUkp1HPZtW+ARdWy6GLiifgt+6bEQgghDIvBJSvlypWjRYsW3L9/nw0bNmRat3TpUqKjo2nfvr3MtSKEEM8p+UEIKf6hYGqCdaOSP0KWRqvF5Z3uAIQt+QslLU3liIQQQjyLQX7jnzx5Mv369WPixIns27ePSpUqcfXqVU6ePImnpycff/yx2iEKIUSxl1GrYu2rfn+VolKq74sEf7WK5HvBRO86hUPnZmqHJIQQ4ikMrmYF0mtX/vzzT3r16sWVK1dYs2YN9+/fp3///mzYsAFXV1e1QxRCiGIv7lh6fxWbFiVr1vqn0dpY4jS4IyCTRAohRHFgkDUrAB4eHsycOVPtMIQQosSK/f9kxba5Op3r1eIytCuh8zcSd/wy8ef9sPatqnZIQgghcmCQNStCCCEKV/LDEFIehICJ1ij6qzzJrIwLjj1bARA6Z8MzthZCCKEmSVaEEMIIZcyvYu1bFRM7a5WjKXquH/QGIGrLMZJu+ascjRBCiJxIsiKEEEYoowmYTXN1+6tYWlpy4MABtmzZgqWlZZGd16pGRexeaQyKwqM5fxTZeYUQQuSNJCtCCGGE4o79//wqKicrJiYmtGnThhYtWmBiYlKk53b78DUAItcfIDkgrEjPLYQQInckWRFCCCOT7B9K8r1g0GqxaVxT7XBUY9OoOjbNa6OkpBK2YKPa4QghhMiGJCtCCGFk4o6nNwGz8q2Cib26/VVSUlJYsGABP/30U6HPYJ8dtzF9AXi8eiepj6OK/PxCCCGeTpIVIYQwMhmTQdo0U39+leTkZEaNGsXHH39McnJykZ/ftm1drOpUQYlPImzJliI/vxBCiKeTZEUIIYxM3In0kcBsm9dSORL1aTQaXP+/78rjZVtJi4lXOSIhhBBPkmRFCCGMSMqjCJJvBwJg3biGytEYBocuTTGv4klaVCyPV+5QOxwhhBBPkGRFCCGMSPzpawBYVCuPqaOdytEYBo2JCW4f9AEgbOEmdPGJKkckhBAigyQrQghhROJOXQXARmpVMnHs0xYzLzdSH0UQvnqX2uEIIYT4f5KsCCGEEYmXZCVbWnMz/chgj+b+gS6x6Dv7CyGEyEqSFSGEMBK6hCQSLtwCpL9Kdkq90R6zsq6kBodL7YoQQhgISVaEEMJIJJz3Q0lJxdStFOYV3NUOBwALCwu2bt3K2rVrsbCwUDWW9NqV9JHBHs3ZILUrQghhACRZEUIII5HRX8W6UXU0Go3K0aQzNTWlc+fOvPzyy5iamqodDqXeeBmzMi6kBj0m/Nc9aocjhBBGT5IVIYQwEtK5/tm0Fma4fpg+MljoD+vRJaWoHJEQQhg3SVaEEMIIKDqdfthiQ0pWUlJS+Pnnn/ntt99ISTGMxMBpQAdMPZxJCQwj4ve9aocjhBBGTZIVIYQwAkl+/qRFxKCxNMfyhcpqh6OXnJzMkCFDGDlyJMnJhtFHRGtprp935dH369AlG0YSJYQQxkiSFSGEMAL6/ir1vNGam6kcjeFzGvgKpu5OpPiHEr5mt9rhCCGE0ZJkRQghjEDG/CoyZHHuaC3NcRvXD4BH3/yOLk5mtRdCCDVIsiKEEEYg7rR0rs8rpzc7YF7BndRHEYQt+UvtcIQQwihJsiKEECVcamgkybcDAbBuWF3laIoPrbkZpT97E0ifdyU1PFrliIQQwvhIsiKEECVcRq2KhU85TEvZqRxN8eLYqzWWNSuii4kndM4GtcMRQgijI8mKEEKUcHGnDG/I4uJCo9Xi/sVgAMKWbSXZ/5G6AQkhhJGRZEUIIUo4Q+5cb2Fhwbp161ixYgUWFhZqh5Mtu/YNsGleGyUxmaDJK9QORwghjIokK0IIUYLpEpNJuOAHGGbNiqmpKX369KFHjx6YmpqqHU62NBoNZWYMB62WqE1HiD1+Se2QhBDCaOQ7WZkxYwa3bt0qyFiEEEIUsITzfijJqZi6OmJe0UPtcIotq9qVcRr0CgCBnyxBSUtTOSIhhDAO+U5WVq9eTdeuXenXrx8bN24kISGhIOMSQghRAOKeaAKm0WhUjiar1NRUNmzYwObNm0lNTVU7nKdy/+xNTBxsSbx8h/DVu9QORwghjEK+k5UlS5bw4osvcvnyZT7//HNatGjB5MmTuXz5ckHGJ4QQ4jlkJCs2jQyvCRhAUlISffv2ZciQISQlJakdzlOZOjtQ+tMBAARPX0Pq4yiVIxJCiJIv38lK69atmT9/PkeOHGHcuHG4ubmxbt06fdvj3377jdjY2IKMVQghRB4oikL86fSRwAyxc31x5DykM5Y1KpAWHk3gxGVqhyOEECXec3ewd3JyYujQoezcuZNffvmF7t27c//+fb788ktatGjBJ598wrlz5woiViGEEHmQ5OdPWng0GktzrOpUVjucEkFjakLZH0eDRkPkugPE7DurdkhCCFGiFehoYA0aNODrr79m6dKluLq6kpiYyObNmxkwYABdu3Zl1y5p4yuEEEVFP2Rx3apozc1UjqbksG5QDZd3uwPgP3YeaTHxKkckhBAlV4ElK7Gxsfz+++/06tWLgQMH8ujRI+rWrcu0adPo27cv/v7+jBkzhmXLpNpcCCGKQpwBz69S3Ll/NhDz8u6k+IcSPH212uEIIUSJ9dyD2p89e5Y//viD3bt3k5CQgL29Pf3796dv375UrVpVv93o0aMZPHgwv/zyC8OGDXve0wohhHiGuNP/37lekpUCp7WxxPOHUdzt9TmPl23FoVtzbJvVVjssIYQocfKdrKxYsYINGzZw7949FEXB19eXvn370qlTp2xnIXZycqJDhw7Mnz//uQIWQgjxbKlhUSTfCgDA2kBHAivu7NrUpdSAl4n4ZQ/+7/9A1b8XYGJrpXZYQghRouQ7WZk9ezZ2dna88cYb9O3bF29v72fuU6tWLXr06JHfUwohhMiluFNXALDwKYdpKTuVo8mZubk5K1asID4+HnNzc7XDybMyXw0n9tC/JN8PJmjycsp+N1LtkIQQokTJd7IyY8YMOnXqhKWlZa73ad26Na1bt87vKYUQQuRS3Kn0IYttmtRUOZKnMzMzY/DgwURGRmJmVvwGATCxt8Zr/hju9PiM8JU7cOjcDLt29dQOSwghSox8d7DXarXcu3fvqdvcvHmTzZs35/cUQggh8in+ZHrNivRXKXy2rXxxHtYVAP/RP5IWJXOMCSFEQcl3svLpp5+yb9++p25z6NAhPv300/yeQgghRD7oEpJIuHALAOsmhp2spKamsn37dvbs2UNqaqra4eSbxxdvYV6pDCmBYQR+tlTtcIQQosTId7KiKMozt9HpdGi1BTqVixBCiGeI//cmSkoqpqVLYV7eXe1wniopKYmuXbvSr18/kpKS1A4n37Q2lngtGAtaLRG/7yNqxwm1QxJCiBKhUDOJq1ev4uDgUJinEEII8R8Zk0HaNK6JRqNRORrjYdO4Bq4jewEQMGYeqY+jVI5ICCGKvzx1sB84cGCmvzdt2sTp06ezbKfT6QgODiYgIICOHTs+X4RCCCHyJO6kTAapltKfDCB6zxmSrt8nYNwCyq38VBJGIYR4DnlKVp5MTDQaDQEBAQQEBGTZTqvV4uDgwCuvvMJnn332/FEKIYTIFUWnI/50xkhgkqwUNa2lOV4Lx3LrpTFEbTlK1MYjOL4qo2AKIUR+5SlZuX79uv7f1apVY+TIkYwcKWPKCyGEoUi6/oC0qFg01hZY1aqkdjhGydq3Km7j+vFo9m8EfLQAm+a1MXN3UjssIYQolvLdZ2X16tX07NmzIGMRQgjxnOJO/39/lQbV0Jjleyot8ZxKj+uH5QuVSYuMxX/M3FwNSiOEECKrfCcrjRo1wtPTsyBjEUII8Zzi/n9+FetG0gRMTRozU8otHIfG3JSY3aeJ+G2v2iEJIUSxlOuf3TImd2zfvj22trZ5muyxR48eeQxLCCFEfsQXk5nrM5ibmzNv3jwSEhIwNzdXO5wCZVmjAqU/e5PgKSsJ/Gwpdi82kOZgQgiRRxoll3XT1apVQ6PRsGPHDipWrKj/+2kURUGj0XDt2rUCCTY3IiIicHR0lNFXSjBFUYiMjJRyNgJS1nmTEvSYazXfBK2WmnfWY2JvrXZIuVKSy1lJS+PWy2NJ+NcPx9faUm7xR2qHpJqSXM4iMylr45DxPb+w5bpmZcaMGWg0GlxdXQGYOXNmoQUlhBAi7+L+f34Vy5oVik2iUtJpTEzw/PZ9brUfQ+T6gzi9+Qq2zWurHZYQQhQbuU5WevXqlelv6VwvhBCGJaO/ik0xml8lLS2NI0eOEBsbS8eOHTE1LXmDAljX9cZpcEfCV+4g4KOFeB+eJ4MfCCFELhXqDPZCCCGKTvzp/81cX1wkJibSrl07unXrRmJiotrhFBr3iYMwcbYn6fp9whb/pXY4QghRbOQ7WQkJCeHMmTMkJCTol+l0OpYuXUq/fv146623OHLkSIEEuWzZMnx8fPDx8eH8+fMFckwhhChJ0mLiSbh4B5CZ6w2RaSk7PCYPASDkm99IeRShckRCCFE85DtZ+fHHH3n//fczVdkvWrSI77//nvPnz3PixAnee+89Ll269FwB3r59m7lz52JtLe2vhRAiJ/Fnr4NOh1lZV8zLuqodjshGqTfaY1XPG11sAiEzf1E7HCGEKBbynaycP3+epk2bYmZmBqTXqvzyyy9UqlSJQ4cOsWHDBiwtLVmxYkW+g0tLS2PChAlUq1aN9u3b5/s4QghR0sUdS/9hyLbFCypHInKi0Wop89UwAMLX7Cbx6j11AxJCiGIg38lKaGhopkkhr1y5QkREBAMGDMDd3Z3atWvTvn17Lly4kO/gli1bxvXr15kxYwYmJib5Po4QQpR0sUcvAmAjI00ZNJsmNXHo1gJ0OgK/WK52OEIIYfDynaykpaXx5BQt586dQ6PR0KRJE/2y0qVLExYWlq/j37x5k/nz5zNixAiqVq2a3zCFEKLE08UlEv/PTUBqVooD98lvoTEzJfbAOWL2nVU7HCGEMGj5HjuxTJkyXLx4Uf/3vn37cHV1pVKlSvploaGh2Nvb5/nYqampfPLJJ1SuXJnhw4fnef9cznMpiqmM8pVyLvmkrHMn9tRVSE3DrKwrpl5uxep6PRmroijFKvb8Mq/gjvPwroQt2ETgpJ+o2toXjWnJbz0g72fjIWVtHAxuUsj/evnll1m8eDGjR4/GwsKCc+fO0b9//0zb+Pn5UbZs2Twfe/Hixdy4cYP169fr+8TkRVRUVJ73EcWPlLPxkLJ+usj9ZwAwa1it2F2r5ORkpkyZAkB8fDypqanqBlRELIZ2RPvbXpJuPCBg6WZs33hR7ZCKTHG7R0X+SVmXfKVKlSr0c+Q7WXn77bc5duwYe/bsAcDb25uRI0fq19++fZtLly7xzjvv5Om4169fZ/HixQwZMoSaNfM3V4CDg0ORZHpCHYqiEBUVJeVsBKSsc+fxufQmYKXa1sfR0VHdYPJh0qRJxlfOjo7oPu5P0KdLiJ7zJx4DOmJiX7JHvZT3s/GQsjYORVVzlu9kxdbWlvXr13PzZvqHZOXKlTN1grewsGD+/PnUrp23zp4TJkzAy8uLUaNG5Tc0NBqNvDmMgJSz8ZCyztmT/VXsWr5QrK+TsZWzy5DOPF6+jeRbAYTN+wP3iYPUDqlIGFs5GzMpa1EQNIqBNSj08fHJ1XYLFizIdjjjiIgIHB0d5c1RgimKQmRkpJSzEZCyfraYQ/9yt9fnmJV1pdqFn4vddUpLS+PcuXPExMTQunXrTHN3GYOoHSe4P+BLNJbm+Jz5CXNPF7VDKjTyfjYeUtbGweD7rBSW3r17Z7v87Nmz3Lt3j3bt2uHk5JRp2GQhhDBWccfSBzqxbVE8a1USExNp3LgxADExMdja2qocUdGy79gEm6Y1iTtxhZAZq/FaMFbtkIQQwqA8V7Jy/PhxVq5cyaVLl4iJiUGn02XZRqPRcPXq1Vwfc/r06dku/+STT7h37x7vvPMOvr6++Q1ZCCFKlNij6ZNByvwqxZNGo8Fj6tvcenksEWv34zKiB1a1Kj17RyGEMBL5TlZ2797NmDFj0Ol0lClThkqVKsnEjUIIUYR0cYkkyPwqxZ51g2o49GhJ1Oa/CZq8gkp/fqV2SEIIYTDynawsWLAACwsLFi5cSNOmTQsyJiGEELkQd+IySkoqZmVdMStXWu1wxHNw/2Iw0dtPEHvwH2IO/INdu3pqhySEEAYh3zPY3717l86dOxdZovL1119z48YNaQImhBD/L+bgPwDYta1XLPuriP+xqOCB89tdAAiasgIlLU3liIQQwjDkO1kpVaoUlpaWBRmLEEKIPIg99C8Atm3qqhyJKAhu4/uhtbch8fIdItYfVDscIYQwCPlOVjp27MiJEyeMZrZhIYQwJClBj0m8dh80Gmxb+6odjigApk72uI3tC0DI9NXoEpJUjkgIIdSX72Tlww8/xN7enjFjxhAYGFiQMQkhhHiGmP+vVbGqWxVTJ3uVo8k/MzMzvvjiCz7++GPMzMzUDkd1LsO7YVbWlZTAMMIWb1Y7HCGEUF2+O9h36dKF1NRUzp8/z759+7C3t892fHyNRsO+ffueK0ghhBCZxer7qxTvJmDm5uZMmTKFyMhIzM3N1Q5HdVpLc9wnDuLhu9/y6If1OL35CqYuDmqHJYQQqsl3zYqiKJiYmODh4YGHhwc2NjYoipLlv+zmXhFCCJF/ik6nr1mxbSujRpU0jr3bYFWnCrrYBEK+/V3tcIQQQlX5rlk5cOBAQcYhhBAilxIv3yUtLAqtrRXWDaqpHc5z0el0XL16lejoaBo3bizzdQEarRaPqUO40+MzHq/YjsuwrlhU9lQ7LCGEUEW+a1aEEEKoI2PIYpsWL6A1L979PBISEqhduzbNmzcnISFB7XAMhm0rX+xeagipaQRP+1ntcIQQQjUFkqzcunWLPXv2sHnz5oI4nBBCiKeIfWJ+FVFyeUx+C7RaorYeI+7UVbXDEUIIVTxXsnLx4kW6d+9O165d+eCDD/j000/1686cOUOdOnXYv3//cwcphBAinS4ukbiTV4Di37lePJ1ljQqUeqM9AEFfLEdRFJUjEkKIopfvZMXPz49Bgwbh7+/P4MGDadWqVab1DRo0oFSpUuzateu5gxRCCJEu5vC/KMmpmJUrjbn0Yyjx3D99E421BfFnrhG97bja4QghRJHLd7Iyb948ADZu3MiECROoXbt2pvUajQZfX18uXbr0fBEKIYTQi955CgD7Vxqj0WhUjkYUNjMPZ1zf6wVA0LSVKCkyEbMQwrjkO1k5ffo0HTp0oHz58jlu4+HhQWhoaH5PIYQQ4glKWhrRu/8/WenYROVoRFFxHfUqpq6OJN8O5PHPO9UORwghilS+k5W4uDicnJyeuk1ycrLMsyKEEAUk/uyN9CGL7W2wbVZL7XBEETGxs6b0J/0BCJn9K2nRcSpHJIQQRSffyYqHhwd+fn5P3ebKlSt4eXnl9xRCCCGeEL0rvVbFrn0DNGb5nibLoJiZmTFu3DhGjhyJmVnxHoa5MDkN6IBF1bKkPY7m0ZwNaocjhBBFJt/JSps2bTh27BgnTpzIdv2OHTs4f/487du3z3dwQggh/id650kA7Ds2VjmSgmNubs4333zDtGnTMDc3Vzscg6UxM8V98lsAhC3aTHJAmMoRCSFE0cj3T3Pvvvsuu3fvZtiwYfTs2VPfN+XXX3/l/PnzbN++HU9PT956660CC1YIIYxV0u0Akm4+BFMT7Ns3UDscoQL7jk2waVqTuBNXCJmxGq8FY9UOSQghCl2+a1acnJz45ZdfqFWrFhs2bODQoUMoisKXX37J1q1bqV27NqtWrcLOzq4g4xVCCKOU0QTMtnltTBxsVY6m4Oh0Ou7du8eDBw+kj+MzaDQaPKYNBSBi7X4SLt9ROSIhhCh8z9Xo2cvLi7Vr13L16lUuXLhAVFQUtra2vPDCC7zwwgsFFaMQQhi9jGTF/pWS0wQMICEhgUqVKgEQExODrW3JScQKg3V9Hxx6tiJq0xGCJq+g0p9fqR2SEEIUqgLpoVmjRg1q1KhREIcSQgjxH6mPo/Sz1pe0ZEXknfukQURvO07swX+IOfAPdu3qqR2SEEIUmlwnK59++mm+TqDRaJgxY0a+9hVCCAFRW45Cmg7LFypjXt5d7XCEyiwqeOD8dhfCFm8maMoKbFvXQWNionZYQghRKHKdrGzatCnb5RqNBkVRclwuyYoQQjyfyD8PA+DYq7XKkQhD4Ta+H+G/7SXx8h0i1h/E6XUZeVMIUTLlOlnZv39/pr91Oh3Tp0/nwoULDBw4kAYNGuDs7Mzjx485c+YMa9aswdfXl88++6zAgxZCCGORHBBG3In0JmCOvVqpHI0wFKZO9riN7UvwlBWETF+NY4+WaK0s1A5LCCEKXK6TFU9Pz0x/L126lIsXL/LXX3/h5uamX16pUiUaNmzIq6++So8ePdi1axfDhg0ruIiFEMKIRG06AoqCdZOamJd1e/YOwmi4DO/G4+XbSHn4iNCFmyg9rp/aIQkhRIHL99DFf/zxBx07dsyUqDypdOnSdOzYkQ0bZKZdIYTIr8iNhwBwfFWagInMtJbmuE8aBMCjH9aR7P9I5YiEEKLg5TtZCQ4OfuZswxYWFgQHB+f3FEIIYdSSbgeQcP4WmGhx7N5S7XAKhampKSNGjODtt9/G1LRABqg0Ko6vtsGmWS2U+CQCP1uqdjhCCFHg8p2suLu7s2/fPpKSkrJdn5CQwN69e3F3l5FrhBAiPyI3pnest21dF1MXB5WjKRwWFhYsWLCAb775BgsL6XORVxqNBs/Z74GJluhtx4nee0btkIQQokDlO1np3bs3Dx8+5PXXX2ffvn1EREQAEBERwb59+3jjjTcICAigT58+BRasEEIYC0VR/jcKmDQBE09hWaMCLu/2ACDwk8XoEpPVDUgIIQpQvuvchw4dyr1799i4cSOjRo0CQKvVotPpgPQP2l69ejF06NCCiVQIIYxIwj83Sbr5EI2lOQ6dm6odTqFRFIXQ0FCioqJwcHBAo9GoHVKxVPrjN4jceJjku0GEztlA6Qn91Q5JCCEKRL6TFa1Wy4wZM+jRowebNm3ixo0bxMbGYmtrS7Vq1ejRoweNGjUqyFiFEMJoPF61EwCH7i0wsbdROZrCEx8fT+nSpQGIiYnB1tZW5YiKJxM7a8p8NYwHb3/Nox/X4/haOywqeqgdlhBCPLfn7s3YqFEjSUqEEKIApUXH6/urOA/qqHI0orhw6NES2zW7iT30L4ETFlFh3VSpqRJCFHv57rMihBCicERuPIQSn4SFtxfWjWuoHY4oJtI7249AY25KzL6zRP11VO2QhBDiuUmyIoQQBiZ81S4AnAa+Ir+MizyxqFIW1w9fA9I726dGxqgckRBCPB9JVoQQwoDEn/cj4cItNOamlOrbTu1wRDHkNqYvFlXLkvooguCpP6sdjhBCPBdJVoQQwoCEr06vVXHo2hxT55I5t4ooXFoLMzx/SB+lM3zVTmKPX1I5IiGEyD9JVoQQwkCkRccR+cchAJykY714DrbNauM08BUAAsbMQ5eUonJEQgiRP5KsCCGEgXj88050sQlY+JTDpnlttcMpEqampgwaNIjXX38dU9PnHqBSPMFj6hBMS5ciyc+fRz+sUzscIYTIF0lWhBDCAOiSU3i85C8AXEf2MpqO9RYWFqxcuZIFCxZgYWGhdjgliomDLWVmvgtA6A/rSbzxQOWIhBAi7yRZEUIIAxC16QgpQY8xdXfCsXdbtcMRJYRD9xbYdWiEkpKK/5h5KDqd2iEJIUSeSLIihBAqUxSF0Hl/AuAyvBtaCzOVIyo6iqIQFxdHXFwciqKoHU6Jo9Fo8PzmPbQ2lsSfvKIfwEEIIYoLSVaEEEJlsQf/JfHqPbQ2ljgNNq6O9fHx8djZ2eHl5UV8fLza4ZRI5mXdcP98IABBk1eQEhimckRCCJF7kqwIIYTKQuf9AYDTgA6YOtqpHI0oiZyHdcWqnje6mHj8xy+QWiwhRLEhyYoQQqgo7vQ1Yg+fBxMtLiN6qB2OKKE0JiZ4zRuDxsyUmF2niNx4WO2QhBAiVyRZEUIIFYXMXANAqdfbY16utMrRiJLMsnp53Mb1AyDwk8WkhkWpHJEQQjybJCtCCKGS2GOXiD18Ho2ZKaU/el3tcIQRcP2wD5Y1KpD2OJqATxarHY4QQjyTJCtCCKECRVEImbEaAKc3O2DuJbUqovBpzc0oO+9D0GqJ2niYqJ0n1Q5JCCGeSpIVIYRQQeyhf4k7cQWNhRluY/uqHY4wItZ1vXEd2QuAgHHzSYuKVTkiIYTImSQrQghRxBRFIXh6eq2K8+BOmJVxUTki9ZiYmNC7d2+6deuGiYmJ2uEYjdIT+mNeuQypweEETvpJ7XCEECJHkqwIIUQRi9p4hIR/bqK1scT1wz5qh6MqS0tL1q9fz88//4ylpaXa4RgNrZUFXvPGgEZDxC97iDn0r9ohCSFEtiRZEUKIIqRLSCJo6goAXD/og1lpJ5UjEsbKpklNnId2AcD/gzmkxciknEIIwyPJihBCFKGwxZtJ8Q/FzNMV1/d7qR2OMHLukwZjVq40KQ8fETRlhdrhCCFEFgaXrISEhPDzzz8zZMgQ2rRpQ61atWjevDmjRo3iwoULaocnhBD5lvIogkc/rAfA/YvBaK0sVI5IfXFxcWi1WpycnIiLi1M7HKNjYmuF19wPAAhfuUOagwkhDI7BJStr1qxh5syZPHz4kGbNmvHWW29Rv3599u/fT79+/dixY4faIQohRL6EzFiDLjYBq3reOL7aWu1whADAtpXv/5qDjf6RtGhpDiaEMBymagfwXy+88AK//vorDRo0yLT87NmzDB48mKlTp9K+fXvMzc1VilAIIfIu/p+bhK/ZDUCZr4ah0Rrcb0XCiLl/8RYxe8+SfD+YoC9+ouyPo9UOSQghAAOsWXn55ZezJCoADRo0oHHjxkRGRnLjxg0VIhNCiPxR0tII+GgBKAqOfdth06Sm2iEJkYmJrRVl548BIHz1LmIO/KNyREIIkc7gkpWnMTU1zfR/IYQoDsJX7yLhXz+0dtZ4TBmidjhCZMu2eW2ch3cDMpqDSR8iIYT6is23/sDAQI4fP46rqyve3t5P3VZRlCKKSqgho3ylnEu+klDWqWFRBH+5CoDSn72JqVupYv16CtqT10JRFLk2KnOfOIiYvWdIvhtE4OdLKTv3wwI7dkl4P4vckbI2DoqioNFoCv08xSJZSUlJ4eOPPyY5OZnx48c/c5bjqKioIopMqEnK2XgU57J+/NkS0iJjMatRHpNezYmMjFQ7JIPy5AhgUVFRpKamqhiNAHCcOZRHr39FxK97MWnni1Ub3wI9fnF+P4u8kbIu+UqVKlXo5zD4ZEWn0/HZZ59x5swZXnvtNXr06PHMfRwcHIok0xPqUBSFqKgoKWcjUNzLOvbweeL/PAIaDV7fj8LGxVntkAyOpaUlHTt2JDU1FScnJ6ysrNQOSbzUhLR3uvF48V9Efr4Ct2MLMHG0e+7DFvf3s8g9KWvjUFQ1ZwadrCiKwsSJE9myZQvdunVj6tSpudpPo9HIm8MISDkbj+JY1rq4RALGzAPA+e3O2DaqoXJEhsnKyort27cTGRmJlZVVsSvnksojoznY7UCCJv6E14KxBXbs4vh+FvkjZS0KgsF2sM+oUfnzzz/p0qULX3/9NVoZ6lMIUUwEz1xD8v1gzDxdcZ80WO1whMgTrbUlXvPHgkZDxO/7iN59Su2QhBBGyiC//et0Oj7//HM2btxIp06dmD179jP7qQghhKGIP3eDsMV/AeD5/UhM7KxVjkiIvLNpXAOX93oC4D9mHqkRMSpHJIQwRgbXDOzJROWVV17hm2++kURFPFVabAIJ/9wg8cZDku8FkXw/GF1sAmg0oNVi6myPhbcXNk1qYt2wOloLM7VDFiWYLjGZh6N+BJ0Oxz5tsX+podohGbS4uDjc3NwACAkJwdbWVuWIxJPcP3uTmD2nSfLzJ/DTxZRb/JHaIQkhjIzBJSsLFixg48aNWFtbU6FCBRYtWpRlm/bt21O9enUVohOGQNHpSDp3k6Ajl4j7+yIJl+9Ami5X+2rtbXDs1QqXd3tg6e1VyJEKYxT81SqSrt/H1NWRMjOGqx1OsRAfH692CCIHWisLys4fy+2O44lcfxCHbi1w6NRU7bCEEEbE4JKVgIAAIP3Da/Hixdlu4+npKcmKEUq65c/j5duJ3HyE1JCITOvMPF2x8q2CeQUPzMuXxsTRFhQgTUdKSDgJl+4Qd/QiqY8iCP95J+GrduHQvQVu4/phVbOiOi9IlDixf18gbNFmAMrO/QBTZwd1AxKiANg0rIbryF6Ezv2DgLHzsWlSE1Mne7XDEkIYCY1SwmbsiYiIwNHRUUafKEFij5zn0dw/iT1wTr9MY2uF/SuNse/QCJvGNTEv6/rM4yhpacQevcTjZVuI3nFSv9yxT1vcJw7E3Kt0ocQv8k9RFCIjI4vFezotOo6bzd8jJSAUp4GvUPbH0WqHVCzExcXpm37FxMRIMzADpUtMxq/NKJJuPsTx1daUWzYhz8coTu9n8XykrI1DUU0KKcmKMFiJfv4EffETMbtPpy/QaLB7uSFOgzuS5luJUm4u+S7nhMt3ePTdWqL+Opp+aAszXIZ3w21sX0wc5MuSoSguH3iKovBwxLdErj+IeQV3qh5ZgImtzBeSG5KsFB/x525wq8M40Okov+pzHLo2z9P+xeX9LJ6flLVxKKpkxSBHAxPGLTUihsBPl3Cz+Yj0RMXUBOehXfA5+xMVf5+C/cuN0Jg/XwtGq1qVKL/yM6ocmINNyxdQklIInfcn1+u9zaM5G0iNlFFvRO5F/L6PyPUHwUSL16LxkqiIEsm6vg+uH/QGIODjhaRFxaockRDCGEiyIgyGkpJK2NIt3GgwlLAlf0FqGnYdGuF9bBGes9/DoqJHgZ/T2rcqlTbPpMLaKVh4e5EWEUPw1JVcqzWQgI8WkHDpdpHN0CqKp8QbDwj4eCEA7p++iU1jmfxRlFylP+6PRdWypIZEEDTtZ7XDEUIYAWkGJlSnKAox+84SNPEnkvweAmBZvTweXw3Drm29bLcvjOplJTWNiA0HCVu4icQrd/XLzcq6Yl3fByvfqljWqICZuxOmbqUwdXFAI8NqFypDb0qgS0jiVvsPSbx2H9s2dan4x5doZPLaPElISKBjx46kpqayZ88erK1lThpDF3v0Ine6fQJA5Z3f5jpBN/T3syg4UtbGQfqs5JMkK8VLwtW7BH2xQt953sTZHvfP3sTpzVfQmGafCBT2Q1BRFOL+vkDYT9uI2XcWJTE5+w21WkxdHTAr44KZpyvmZd2w8q2CTZOamHm5yT1YAAz5A09RFPxHzyHi1z2YupWi6pH5mLmVUjusYsmQy1lk7+HIH4j4bS8W1cpT9dBctObPnr9Kytl4SFkbh6JKVgxu6GJhHJJuBxDy9S9EbjwCioLGzBTnd7pTepz6Hdw1Gg22rXyxbeWLLi6RuLPXSbjgR8I/fiTdDiA1NJLU0EjQ6UgNiSA1JIKEf/0yHcOsjAv2nZtSqt+LWNf1VueFiEIVvnIHEb/uAa0Wr8XjJVERRsVj2ttE7z5F0vX7hC3YiNuYvmqHJIQooaRmRRSphIu3CV20icg/DukncnTo1gL3LwZjUalMro5hCL/YKKlppIZFkRISTkpgGCn+oSTfDSL+zDXiL9yC1DT9ttZNauI+cSC2zWqrEmtxZghlnZ24E5e53f1TSE3DfcpbuI3uo3ZIxZqhlrN4uoh1+3k44js0luZ4H1v0zH6FUs7GQ8raOEgzsHySZMXwKGlpRO86RdiizcQdv6xfbvdyQ9w/G4jVC5XzdjwDfwjq4hOJPXaJyPUHiNpyDCUlFQCHHi3xmDpE5nPJA0Ms6+SAMG61G01qaCQOPVtR7qcJBhNbcRQXF0eFChVQFIV79+7J0MXFiKIo3O31ObGHz6f32frzq6e+Fwzx/SwKh5S1cZBkJZ8kWTEcabEJRPy6h7ClW0i+G5S+0NQExx4tcRnRI9/No4rTQzAl6DEh3/5O+KpdoNOhsTTHfeIgXN7tLh2xc8HQyjotJp7bXT4m8dIdLGtWpMqu79DaWKodVrEm86wUb0l3ArnZfARKUgpeSz6iVJ+2OW5raO9nUXikrI2DJCv5JMmK+lLDowlbsoXHy7aQFpk+Dr+Joy1Ogzvi/HZXzD1dnuv4xfEhmHD5DoGfLiHu2CUAbFv74rVgLGZlnu9alHSGVNZKSip3+00h9uA/mLo6UmXP95iXd1c1ppJAkpXiL+S7tYRMX42JiwM+p5ZiWsou2+0M6f0sCpeUtXGQSSFFsZMWE0/wV6u49sIgHn3zG2mRsZhXLoPnt+9T/dJqPL5467kTleLKqlYlKm35Gs/v3kdjZUHs4fPcbPk+UVuPqR2ayAVFUfAfM4/Yg/+gsbagwtopkqgI8f9cR72KRbXypIVFETR5udrhCCFKGElWxHNT0tJ4/PNObjQYyqPv16HEJ2H5QmXKrfgUn5NLcB7SWZrKkD7KmPNbnal6cC5WdaqQFhHD/UHT8R8zD11cotrhiacImbGGiN/2glZL+eWfyAhvQjxBa25G2e9HAhDxyx5ij19SOSIhREkiyYp4Lok3HnCrwzgCxs4jNTQS88plKL9mIlUPzsWxR0uZNDEblt5eVN79Ha4f9AGNhvBVO/Fr9wEJl26rHZrIxqM5G3j03VoAPL99D/sOjVWOSAjDY9OkJk6DOgIQMGY+uqQUlSMSQpQUkqyIfFHS0ng09w/82owi4Z+baO1tKDPzHbyPLcKhczNpo/oMWnMzPCa/RcWN0zH1cCbJ7yG3XhrDozkb0CXLh7yhCFu6heCpKwFwn/wWzoM7qRyREIbLffJgTN1KkeT3kNA5G9QORwhRQkiyIvIsJTicOz0/J3jKCpSkFOzaN8D72CJc3umeq1mMxf/YtfbF+8h87Ds1QUlOJXjqSvxavk/M/nNqh2b0Hv+8k8BPFgPgNv513D6QuVQKg1arpUGDBtStWxetjJBXrJk62lFm+nAAHn2/lkQ/f5UjEkKUBDIamMiTmEP/8vCdb0gNjURra0WZGe9Qqv9LRXq9S+IoI4qiELF2P8FTVpAaGgmAbbv6lB7XF+smNUvM68wrtco6dOEmgiYuA8DlvZ54fDnUaMugKJTE97SxUhSFe699Qcz+c9i0eIFKf83Ul6mUs/GQsjYOMhqYMCiKTkfIrF+5++pEUkMj0+eY2D8HpwEvy4OoAGg0Gpxeb4/PmWW4jOgBpibEHjjH7c4fc6PxcEK++Y2kjLlqRKFRFIWQb37TJyquH/SRREWIPNBoNHh+mz7qYdzRi0T8vk/tkIQQxZzUrIhnSo2I4eHw2fqmSU4DX6HMzHfQWlmoEo8x/GKTdDeI0Ll/ELHhAEp8kn65eaUy2Lb2xa61LzbNa2Pq7KBilIWvKMtaSU0j8POlPF62FYDSnw/EbWzfEnuPGRJjeE8bm0dzNxA8ZSUmpezw/nsBZmVcpJyNiJS1cZBJIfNJkpWCFX/hFvcHTSflQQgaKwvKfj+SUn1fVDUmY3oIpsXEE739BBHr9hN79CKk6TKtt6xRAZsWL2DbvDY2zWqVuOSlqMo6LTqO+0O+JvZAekLuMX04riN6FNr5xP/Ex8dTo0YNdDod165dw8bGRu2QRAFQUlLxe2kMiRdvY92kJpX/mgmmJkbz7DZ2xvQ5bcwkWcknSVYKTvia3QR8vBAlKQXzih6UX/U5VrUqqR2W0T4E06LjiT12kdhD/xL790WSrt/Pso1l7UrYd2yCQ5dmWNasWOyvT1GUdaKfP/ff/JKkmw/RWFtQbvFHOHRpVijnElnJDPYlV9KdQPzajkYXE4/LyFfxmDrEKJ/dxshYP6eNjSQr+STJyvPTJSQR+MliwtfsBsDulcaUWzQOEwfD+BIhD8F0qaGRxB6/TNyxi8QevZQleTEv7459pyY4dG+JdcNqxfJaFWZZK4pC+OrdBH6+BCU+CbMyLlT4bTJWL1Qu0POIp5NkpWSL2nqM+4OmA1Bu1ecoLWoY/bPbGMjntHGQZCWfJFl5PgmX7/Bg2GySbjwArRb3z97E9cM+aAxoSFF5CGYv5VEEMfvOEr3jBDEH/kFJTNavM/Nyw7FnKxx6tsLqhcrF5roVVlmnhIQTMH4B0dtPAGDb2hevReMxc3cqsHOI3JFkpeQL/HwpYYs2o7WzxvX3ibg1rVNsnkEif+Rz2jhIspJPkqzkj6LTEbb4L4KnrURJTsXUrRRei8Zh17ae2qFlIQ/BZ9PFJRJz8B+ith4jeudJdLEJ+nXmlcvg2LM1jr1aY1mtnIpRPltBl7WSkkrY0i2EzPoVXWwCGjNT3CcNxuW9HgaVkBsTSVZKPiUllTs9PyPu+GW0Lg5U2fUdlpXKqB2WKETyOW0cJFnJJ0lW8i7+vB8B4xeQ8M9NAOw7NqHsnA8wdTHMztryEMwbXUISMXvPELnxCNF7TmeqcbGsXh6HXq1x7NkKCwP88lBQZa3odERtPU7IzDUk3XwIgFU9b8p+P0qafalMkhXjkBYVy+0uE0i8chez8qWpsvM7qcksweRz2jhIspJPkqzkXlpULMHTV/N4+XZQFLS2VnhMexunQR0N+vrJQzD/0mLiid59isiNR4jdfw4lJVW/zsq3Cg49WmH3Yn0sq5c3iJqG5y1rJSWVyL/+5tF369KbNgImLg54fPEWpd5obxCv0dhJsmI8koMfc+uV8aQ+CMGiWnkq/fkVZh7OaoclCoF8ThsHSVbySZKVZ1MUhcj1Bwj6Yrl+tnTH3m3wmDa0WPzSJQ/BgpEaGUP09hPpicuR85mGRTZxccC2eW2sG1TDur4PVi9URmttWeQx5resUwLDeLx6F+Grd5EaHA6A1t4Gl3e74zqih8EMFiHShy5u2LAhaWlpnDt3ToYuLsEURSHs4k1C+31Jakg4Zl5uVPrzKyyqlFU7NFHA5HPaOEiykk+SrDxd4tV7BHy8kLjjlwGwqOqF5zcjsG3lq25geSAPwYKXGhZF1NajRO84SeyJy5kmogTARItl9QpY162KVT0frBv4YFmtHBoTk0KNKy9lraSmEXv4POGrdxG144Q++TJ1dcR5WFdchnfDxF6+CBsieU8bh4xyto5M4G6fL0i+E4iJsz0V107Fur6P2uGJAiTvaeMgyUo+SbKSvbTYBEJm/0bY4s2QmobG2oLS41/H5b2eaM3N1A4vT+QhWLh0ySkk/HOTuBOXif/nJgn/3CQl6HGW7bQ2lljVqYJ1fZ/02pd6Pph5uhRomTyrrBVFIeG8H5F/Hibyz0OkhkTo19k0q4XzkM7Yd2lW7O5xYyPvaePwZDmnhUVxt99kEv71Q2Npjue37+P0xktqhygKiLynjYMkK/kkyUpWUduPEzhhMSmBYQDYd25KmRnDMfcqrXJk+SMPwaKXEhhG/L8305OXczeI/+dmphHGMpi6O2HdoBo2jWpg3ag6VnWqoLXIf6KQXVkraWnEn75G1NbjRG07Rop/qH57Eyd7HF9tjfOgjljWqJDv84qiJe9p4/Dfck6LTeDB0K+J2XMGAKc3O1Bm1gi0luYqRyqel7ynjYMkK/kkycr/JAeEEfjJIv1cEubl3Skz613sX26kcmTPRx6C6lN0OpJu+hN/7jrx/9wk/twNEq/czdTvBUBjYYaVb1VsGlXHulF1rOt6Y+rhnOtyUxSFiJBHWAZHE3/qKrHHLhF34jJpj6P122htLLF7qSGOfdpi92J9qUUpZqTPivHI9scHnY5H368jZOYvoChY1qpEucXj5ceGYk4+p42DJCv5JMlK+i/Pj5dvJ/irVem/fpua4DrqVUqPfx2tlYXa4T03eQgaJl18IgkXbxN3+hrxp68Sd/oaaWFRWbbT2llj6e2FeQV3TF1LYerqgNbGKn2lopAWHUfqowhSQiJIuvmQpNsBWZIgEwdb7Ds2xr5rc+za1C0R97WxktHAjMfTnt0xB//hwfDZpD2ORmNuivtEmf+oOJPPaeMgyUo+GXuyknDxNv5j5+nnTLFuWB3PH0ZiVaOiypEVHHkIFg+KopB8N4i4U1eJP32NuFNX0+c40emevfN/mJSyw6quN7bNa2HTrDbW9bzRmJkWQtSiqEmyYjye9exOCQnH/4M5+mZhNs1r47VgLOblimeTZWMmn9PGQZKVfDLWZCUtNoGQmWsIW7IFdDq0dtZ4THkrfc6UEvbLlDwEiy9dUgrJtwNIvPmQFP9QUsMiSQ2NRJfwv9HHtLZWmJV2wrR0KczLu5NU1glnn4poS9h9LNJJsmI8cvPsVhSF8NW7CZq4FF1cIlpbK8p8/S6lXm8vz/tiRD6njYMkK/lkjMlK1M6TBH68iJSA9I7GDj1bUWb68GIxZ0p+yEPQeEhZl3ySrBiPvLyfk+4F8XDEd8SfugqA3SuN8fzmfcw9XYoiVPGc5NltHIoqWZGfKoux5IAw7g38ivv9p5ESEIp5eXcqrp9G+eWflNhERQghRMlnUcGDyttm4T75LTRmpsTsOsXNpu8QtnQLSlqa2uEJIYqQJCvFkJKWRtjizdxs+g7R246nd6D/sA/exxZi176B2uEJIYQQz01jYoLbB32oemge1o2qo4tNIPCTxdzqMI6EK3fVDk8IUUSkh2oxE3/ej4Cx80g4fwsA60bV8fy+ZHWgF0IYD41GQ/ny5dHpdNJcRGTLsnp5Ku/4hvCfdxI0dSUJ/9zEr80onAd3pPSEAZi6OKgdohCiEEmflWIiLSaekBlrCFu2FXQ6TBxscZ/8Fk4DO5S4DvTPIm1hjYeUtXGQcjYOBVHOKYFhBHyyOL1VAelDobuN7Yvz210wsbUqyHDFc5D3tHGQDvb5VBKTlajtx9M70Ac9BsDx1dZ4fDUMs9LG2S9FHoLGQ8raOEg5G4eCLOfYvy8QOOknEi/eBsDE0RbnYd1wGd4VU2epaVGbvKeNgyQr+VSSkpVk/0cETlhM9M6TAJhXcMfz25HYtauncmTqkoeg8ZCyNg5SzsahoMtZ0emIXH+QkO9+J/l2IPxfe3ce18S1/4//lY01iKziTikGFFCxyKIoovYqguViq1brLmqr2Aq1xX5ae/tre/v42VuXirW1Ur1Va3Gp1KWu9VYQFXCpOxaLKIvITiQsSUjm+wdkJCYoSyCBvJ+Phw+SMzNnzuQ9E+edOWcGAMfMBN3/OQq2cybCwm8Q7U96Qse0caBkpZW6QrLC1ClQsuUgCv//XVBW1QJ8Hhzffg2O775OT+oGfQkaE4p111dTU4PRo0dDoVAgJSUFFhYW+m4SaSftdTwzCgXERy6g+Ou97HhOADAV9YXNzPGwmToWgp52OlsfeT767jYOlKy0UmdPVqqvZCIveiNqb9wDAFj4e6DP2iiYDeyv55YZDvoSNB4U666PnrNiPNr7eGYYBjWX/0Lpj8dRkZgEprrhYbNcLoRjvGEzYxysJwXQj34dgL67jQMlK63UWZMVxeNqPPr3jyiNPwIwDHjdhej5/y2EzRsvG90A+uehL0HjQbHu+ihZMR4deTwrHleh4tezKP/5d/bBkkD9gPzuEaNh8/o46ibWjui72zhQstJKnS1ZYRgGjw+fQ/4HW1CnGkA/LRi9PlsEvkN3/TbOQNGXoPGgWHd9lKwYD30dz9J7D1GecBrle05DnlvElpt5ucDh7dfQPXwUOHxeh7XHGNB3t3GgZKWVOlOyIsstRP7736LyRDoAwMSlF3p/tQxWY7z13DLDRl+CxoNi3fVRsmI89H08M0olqs7dQHnCaVQcPMt2ExP0dYTD0gjYzpoArqVZh7erK9J3rEnHoGSllTpDssLI61Dy3UE8WrMLTLUUHAEfDu9MhWPMdHDNTPTdPINHX4LGg2Ld9VGyYjwM6XiuK3uM0m2/oeT7Q1CUiAEAPBsr2C+NgP2iyeB1s9Rr+zo7Q4o1aT+UrLSSIScrDMOg8mQ6Hq6Oh+zvfACAZYAHeq9bDjO3fnpuXedBX4LGg2Ld9VGyYjwM8XhW1khRnvA7ijcdgCy7AADAsxbCbvErsH8zHHwbKz23sHMyxFgT3aNkpZUMNVmpSr2FwjU/QZJ0FQDAd+gOp9XzYDNzPA2gbyH6EjQeFOuur6qqCs7OzmAYBvfv36dkpQsz5OOZqVOg4tdkFH2VAGlmLgCAKzSH3aLJcHgrAnx7etBkSxhyrInuULLSSoaUrDAKBSpPXULR1/vYu5FwTPiwfysCjtHTwetGzxNoDfoSNB4Ua+NAcTYOnSHOjFIJ8aFzKFqbgNpb2QDq/9+2njwStnNDYDnSy2Dbbkg6Q6xJ21Gy0kr6TlYYhkHtzXso33cGFfv/QN2jMgD1X3Y2M16G44qpMOnvpJe2dRX0JWg8KNbGgeJsHDpTnBmlEo+PpaJo/V7UXMlkywV9HNBtgi+s/uELywBP8ITmemyl4epMsSatR8lKK3V0ssIoFJBmPUTN1buQJF1F5Zk/2VsQAwDPthtsZr4Mh7f+SU/Q1RH6EjQeFGvjQHE2Dp01ztVX76Jsx3FU7D8DpaTmyQQOByYuPWHu4QITl54Q9LSHoKcd+PbW4NlYgWdjBb6NFTgCvv4aryedNdakZYw+Wbl+/Tri4uJw9epVyOVyuLq6Yu7cuZg8efIzl2uvZIWR10GWWwRZdgGk2Q8hvZuHmutZqL15D8qqWrV5OeamsBr3EmxeHwer8T7gmgh02hZjR1+CxoNi3fXV1NQgJCQEdXV1OHnyJCwsqHtsV9XZj2dldS0kKdfx+EQ6Kk9dhDyvuFnLcYXm9YmLbTfwugvBs+0Gvo0VeDZC8Gy6NUyzAq/7kwSHa23Zqc8dOnusSfN0VLJikOl+WloaFi5cCIFAgNDQUFhZWeHkyZNYuXIl8vPz8eabb+p0fQzDQFFeCfnDEsgLSiF/WAp5QUn9+/wSyO4XQJZTCCiUWpfnWJjC3NMFFr6DYDV2GCz9PegWxIQQ0gxKpRJJSUnsa0IMFdfCDN3+4Ytu//AFANSViFFz8x5qb2ZDllcE+cMS1BWUoq68Eoqyx1CIqwCGgVJSA6WkRu2BlM3BMTcFz9oSvG6W4FkLwRWag2thCq6FWcO/hteWZk/KzE0b3jeaz/LJX465KSUPpNMxuCsrdXV1CAkJwaNHj7Bnzx4MGjQIACCRSPD6668jOzsbv/32G5ydnbUu//SVFUZeB3lhOZuI1BWUQPaw/m99YlIC+aMyMLWy57aNY2YCE+eeMHXpCROX3jD3coH54Bdh6tobHB49/baj0C82xoNi3fXRrYuNh7Edz4xCAcXj6vrEpbyyPolp+FdXVglFRX1SU1cuefK6rBLKx1Xt1yguFzwrC3CtzBv+WrB/ucKnyizNwTU3AdfcFBxz0/pEyMwEHAtTcM3q33PMTMA1FYBjKlA7DzK2WBsro72ykpqaipycHEyZMoVNVABAKBRi6dKliI6OxoEDBxATE6N1+dLob1BWUQVFcQXqSsSoKxEDzczHeHbd6vuc9rJj+54KetnD5IWeMH2hJ/hOtnSbYUIIIYQ8F4fHA7+hW1dLMAoFlJIaKMRVUIgl9X8rJPVXaGpqoaySQlld++Rfleq1FMoa6VNl9eVMjbS+cqWyoU4J5LreYD6vPpkxFYBragKGz0ORhRm4ZgJwTAQNiY4ZeJZm9YmQ0Lz+r6UZeFZPXnOFFk/mUZVbmIHDazj/Up0bq06SORxKiLo4g0tW0tPTAQCBgYEa00aOHKk2jzbVh85rFvJ5EDjZQtCrIQFplIgIetmB39MOAic76rpFCCGEEL3i8HjgWQvBsxYC6KGTOhmlsj6BkdRAUVkNZWV1/d+n3zcqr0+OpFDWysDUNCRCNVIwtTL2tVr3+Lr6JAuSGihURTppfSs0SmTq/6qXczic+jIuF+A2JDscDsDlgsPlPClv+MsmRFwt8zS5bMNr4Ek9jebhNNSrvuxT9WhdtqFd7LKqtnHrt4nDeVK3qg5V2xuWeTK90bZp1PfU/Ex9Ig0lA0bJAEolGKUSPVfPa/dwGlyycv/+fQBA//79NaZZW1vDxsYGDx48aHJ561UzIeznBIGjDfgO3cF3tAHf3rpZV0QMrEccaYIqThSvro9i3fU1ji3DMBTrLoyOZz3icOqvZAjNwXey1Vm1TJ2iPpmRysBI5VBK5WCkMihrZagsLYcF3wSQ19XPo0pyqmqgUCVDDQmUsqrhtWpaw2ulpAaMtBXXgFT7WBP72tOltEe2nlEmKxKJBABgZaX9sqlQKMSjR4+aXL7bolAAgKLhnxQAHj/WbSOJQRCLxfpuAukgFOuuq6rqSf98sViMujq9/RZLOggdz10QD4AFv/4f6p89Y+rswF5hUeE2/GvJyScjr6vvxsY0JLoM8yS7UL3XWOipZIVpPKnhjZKpn6Bs+Mc0XDFglGwZ0+g1GFVZ/VWFJ8so6+tXK2uYh3m67kbLNq5fre6n6m9cpppPW/3sZ9Pw+TReLxi1eevfKtXma/yPUT49P/PkSg2Pq3Hlpr0ZXLKiC9bW1tR/sQtjGAZisZjibAQo1l2fQCBgb1dsbW1NA+y7MDqejQfF2jh01FVSg0tWGt8VRhuJRNLkVRcVDg22MgoUZ+NBse66hEIhJBIJKioqIBQKKc5GgI5n40GxJrpgcLe2Ut2SWNu4FLFYjPLycq3jWQghhBBCCCFdi8ElK8OHDwcApKSkaEw7d+4cAMDX17dD20QIIYQQQgjpeAaXrAQEBKBv3744cuQIMjIy2HKJRILNmzeDz+cjIiJCjy0khBCiK7W1tQgLC8P06dNRW1ur7+YQQggxMAY3ZoXP5+Pzzz9HZGQkZs6cibCwMAiFQpw8eRJ5eXlYsWIFXnjhBX03kxBCiA4oFAocPXqUfU0IIYQ0ZnDJCgD4+/tj9+7d2LhxI44dOwa5XA5XV1e88847eOWVV/TdPEIIIYQQQkgHMMhkBQAGDx6M+Ph4fTeDEEIIIYQQoicGN2aFEEIIIYQQQgBKVgghhBBCCCEGipIVQgghhBBCiEGiZIUQQgghhBBikDgMwzD6bgQhhBBCCCGEPI2urBBCCCGEEEIMEiUrhBBCCCGEEINEyQohhBBCCCHEIFGyQgghhBBCCDFIlKwQQgghhBBCDBJf3w1oreLiYmzYsAFJSUkQi8Xo1asXJk+ejMWLF8PExKRZdeTn52PLli24efMmHj58CIlEAgcHBwwYMADz589HQEBAO28FaQ5dxPr+/fs4fvw4zp49iwcPHqCiogJ2dnbw8/PDkiVL8OKLL7bzVpDn0UWcAWDnzp24ffs2bt68iaysLCgUCuzYsQN+fn7t2HrytOvXryMuLg5Xr16FXC6Hq6sr5s6di8mTJze7DqVSid27d2PPnj148OABLCws4Ofnh+joaDg7O7df40mztTXOpaWl2L9/P27duoWbN28iPz8fAPDXX3+1Z7NJK7Q11pcuXcLvv/+O9PR05Ofno7q6Gr1798a4ceOwZMkSdOvWrZ23gDRHW+OclpaGvXv34vbt2yguLoZcLoeTkxOGDRuGRYsWwcXFpcVt6pS3Li4uLsa0adNQUFCA8ePHw9nZGZcvX8aVK1cwatQofP/99+Byn3/R6Pz583jnnXcwdOhQ9OnTB0KhEIWFhTh9+jQkEgmio6Px5ptvdsAWkaboKtbR0dE4evQoRCIRhg0bBqFQiMzMTCQnJ8PMzAw//PADfHx8OmCLiDa6ijMAuLm5AQAcHBzYuilZ6VhpaWlYuHAhBAIBQkNDYWVlhZMnTyIvL69F36urV6/G3r174erqiqCgIJSWluLo0aMwNTVFQkICXF1d23lLyLPoIs5paWmYM2cOOBwO+vfvj8LCQtTU1FCyYmB0EeuRI0eivLwcL730EgYOHAgOh4P09HTcvn0b/fr1Q0JCAuzs7Dpga0hTdBHn9evX4+DBgxg8eDB69OgBgUCAe/fuITk5GTweD1u3boW/v3/LGsZ0Qu+//z4jEomYn376iS1TKpVMbGwsIxKJmP379zerHqlUyigUCo3yR48eMSNGjGA8PDwYsViss3aTltNVrH/55RcmIyNDo/zIkSOMSCRiJk2apLM2k5bTVZwZhmH++OMPpqioiGEYhlm9ejUjEomY1NRUnbeZaCeXy5nx48cznp6ezK1bt9jyyspKJjQ0lBk0aBCTnZ393HouXLjAiEQiZubMmYxUKmXLz58/z7i5uTFvvPFGezSfNJOu4lxcXMykp6czlZWVDMMwzIQJExiRSNRezSatoKtYb9myhSksLFQrUyqVzL/+9S9GJBIxn3zyia6bTlpAV3Gura3VWn7+/HlGJBIxU6ZMaXHbOt2YFYlEgqNHj6Jv376YMWMGW87hcBATEwMul4t9+/Y1qy4TExOtv9b26NED3t7ekMvlePjwoc7aTlpGl7GeMmUK3N3dNcpDQ0Ph7OyMv//+G2VlZTprO2k+XcYZAMaMGcNeVSEdLzU1FTk5OQgLC8OgQYPYcqFQiKVLl6Kurg4HDhx4bj2qmK9YsUKtG2BAQAACAwNx8eJFZGdn634DSLPoKs729vYYPnw4hEJhezaXtIGuYr148WI4OjqqlXE4HCxduhQAcPHiRd02nLSIruJsamqqtTwgIADW1tbIyclpcds6XbJy9epVyGQyjBgxAhwOR22ao6MjRCIRrl27BqlU2up1lJeX49q1azA3N0efPn3a2mTSSh0RawAQCAQAAD6/0w7h6tQ6Ks6kY6SnpwMAAgMDNaaNHDlSbZ5nSUtLg4WFBYYNG6YxTVU3ndzoj67iTAxfe8da9X8vj8drdR2k7do7zn/++SfEYjEGDBjQ4mU73dnZgwcPAKDJwZX9+/fHnTt3kJub2+z+zHl5eUhMTIRCoUBRURH+97//obKyEp988gn92qNH7RHrp12/fh13796Fl5cXDe7Tk46IM+k49+/fB1Aft6dZW1vDxsaGjXlTqqurUVxcDJFIpPUERrWvqNZFOp4u4kw6h/aO9S+//ALgyQkx0Q9dxzktLQ3p6emQyWR48OAB/vjjD9jY2OCDDz5ocds6XbJSWVkJALCystI6XZVcqOZrjvz8fGzatIl9b2FhgS+++ALh4eFtaClpq/aI9dP1x8bGgsvl4r333mtdI0mbtXecSceSSCQAnh3PR48ePbMOVayb+rFIVa5aF+l4uogz6RzaM9YZGRn45ptvYGdnh8jIyFa3kbSdruOcnp6udm7dv39/rFu3Dp6eni1um96SFT8/P1RUVDR7/va8m4+fnx/++usvyOVy5OfnY8+ePYiNjcWNGzfw0Ucftcs6jYkhxVpFKpUiKioK9+7dQ3R0NN0pSgcMMc6EEEIMU25uLpYsWQKFQoF169bB1tZW300iOrR8+XIsX74c1dXV+Pvvv7F582bMmDEDX3zxRYtuYQ/oMVkJCwtDVVVVs+e3t7cH8CTja+pX1udlhs8iEAjg7OyM2NhY1NbWYufOnRg1ahSCgoJaXBd5wtBiLZPJsGzZMqSmpmLJkiV0e2odMbQ4E/143pUwiUTy3Fiqpjd15URVTt109UcXcSadQ3vEOj8/H3PnzkVZWRni4uJafitbonPtdUxbWFhg8ODB2LRpE1599VV8/PHHGDlyZIuSU70lK6tXr27Vcqq+dE31VX7w4AG4XC769u3b2qYBqO87uXv3bqSnp1Oy0kaGFGupVIqlS5ciJSUFkZGRiImJaVXbiCZDijPRH9V4kgcPHmhc7heLxSgvL4e3t/cz67CwsICDgwPy8vKgUCg0xq2o9hV6MKT+6CLOpHPQdazz8vIwZ84cFBUVYcOGDQgODtZlc0krtfcxzefz4efnhzt37uDGjRstOrfudHcDGzp0KExMTHD+/HkwTz3PsqioCJmZmRgyZEiTt05rrqKiIgB0hyh90nWsGycqCxYsoHEqBqKjjmnSMYYPHw4ASElJ0Zh27tw5AICvr+9z6/H19UV1dTWuXLmiMU1Vt2pdpOPpKs7E8Oky1o0TlfXr12P8+PG6ayhpk444plt7bt3pkhWhUIhJkyYhNzcXP//8M1vOMAzWrVsHpVKJqVOnqi1TU1ODrKwsjWemXL9+XevtUPPz8/H9998DAEaNGtUOW0GaQ5exbpyozJ8/H7GxsR2yDeT5dBlnon8BAQHo27cvjhw5goyMDLZcIpFg8+bN4PP5iIiIYMvLysqQlZWl8ZyjadOmAQA2bNgAmUzGll+4cAEpKSkYPnw4XnjhhXbeGtIUXcWZGD5dxVqVqBQWFmLdunV4+eWXO2wbyPPpKs4XL17U+OERqE+Cfv/9d1hZWbX4Cg2H0VajgSsqKsK0adPw6NEjvPzyy3B2dsalS5dw5coVBAYGYuvWrWoPe0xLS8OcOXPg6+uLnTt3suVLly7F5cuXMXz4cPTs2RN8Ph85OTlISkqCXC7HvHnzWnWLNaI7uor1qlWrkJiYCAcHB0yfPl3ruiIiIui5OnqiqzgDwPfff4979+4BqL+v+/379xEYGMg+KPK1116Dj49Px22cEUpNTUVkZCQEAgHCwsIgFApx8uRJ5OXlYcWKFXjrrbfYeePi4rBp0yZERUVh+fLlavV89NFH2LdvH1xdXREUFITS0lIcPXoUpqamSEhIoFtZ65mu4rxq1Sr29alTpyCRSNROit5//30afK1nuoj12LFjkZ+fj6FDh2p9lgcAjX2DdCxdxNnHxwc2Njbw8vKCk5MTpFIp/vrrL1y8eBECgQBfffUVJk6c2KJ2dco+To6Ojti7dy82bNiApKQk/PHHH+jVqxeWL1+OxYsXa30qvTZTp06FmZkZbty4gXPnzkEul8PW1hZjxozB1KlTaayKAdBVrPPz8wEAxcXFarfSa8zX15eSFT3RVZwB4OzZsxoPrmp8WdvX15eSlXbm7++P3bt3Y+PGjTh27BjkcjlcXV3xzjvv4JVXXml2PZ9++inc3NywZ88e7Ny5ExYWFggODkZ0dDRdVTEAuopzYmLiM8uioqIoWdEzXcRa9f/w1atXcfXqVa3zULKiX7qI8/Lly3H27FlcvnwZZWVl4HA46NmzJ6ZOnYq5c+e26qGQnfLKCiGEEEIIIaTr63RjVgghhBBCCCHGgZIVQgghhBBCiEGiZIUQQgghhBBikChZIYQQQgghhBgkSlYIIYQQQgghBomSFUIIIYQQQohBomSFEEIIIYQQYpAoWSGEEEIIIYQYJEpWCCGEEEIIIQaJkhVCSJeWlpYGNzc3xMXFtds6rl27hjlz5sDPzw9ubm6YPXs2Oy05ORnTpk3DSy+9BDc3N6xatard2tHRCgsLsXLlSowaNQru7u5wc3PTd5P0Ji4uDm5ubkhLS9N3UwAYXnt06cCBA3Bzc8OBAwf03RRCSAfg67sBhBDSmVVWVuLNN9+EXC5HeHg4unfvjt69ewMAcnNzsWzZMlhbW2Pq1KmwtLTEwIED27U9aWlpmDNnDqKiorB8+fJ2XdcHH3yA8+fPIywsDP369QOHw2nX9RFCCDE+lKwQQkgb3LhxA2VlZXj33XexePFitWmpqamQyWT44IMPEBoaqqcWtg+ZTIYLFy5g5MiR+Oqrr/TdHL174403MGnSJPTq1UvfTSGEkC6FkhVCCGmDoqIiAIC9vb3GtMLCwiandXYlJSVQKpVwcHDQd1MMgq2tLWxtbfXdDEII6XJozAohBJcuXcKyZcswYsQIeHp6IigoCFFRUbh06RI7T2FhITZu3Ihp06YhICAAnp6eGDt2LD755BOUlpZq1Dl79uwmxzCsWrUKbm5uyMvLY8uUSiX27duH1157Db6+vhgyZAjGjh2LpUuX4uLFi+x8MpkMO3fuxMKFCxEUFARPT08EBAQgKioKt2/f1snnIZFIsHHjRoSGhmLw4MHw8fHBwoUL1T4PAHBzc0NsbCyA+i5Rbm5ubF/6xuNk5syZw05rvM25ubn48MMPMWbMGHh6eiIwMBCrVq1Cfn6+1nbl5ubi448/xtixY9ntnj17Ntt3Py4uDnPmzAEAbNq0iV3n0+ttSk1NDeLi4jBx4kR4eXnB19cXixcvxpUrV9Tmmz17NoKDgwEAiYmJ7DqeNy6o8TiKvXv3IjQ0FF5eXhgzZgzWrl0LqVSqdbk7d+4gOjoagYGB8PT0RHBwMD777DOUl5erzZeXl8eOC8rKykJUVBQ7jqjx9p8+fRoLFy6En58fvLy8MHbsWLz33nvIzMxUq08mk2H79u2IiIjA0KFD4e3tjZkzZ+L06dPP3DYAyM/Ph7u7O+bOnat1m6RSKV566SW8/PLLrV4nABQUFCAmJga+vr7w9vbGrFmz1I6XlkhISGBjEhQUhC+//BJSqVRjHJZKc48T4Mn3QV1dHb755ht2H54wYQJ++uknre2pqKjAxx9/jBEjRmDIkCF49dVXcerUqWdug673FUKI/tGVFUKM3E8//YTPPvsMZmZmGD9+PHr16oXCwkJcvnwZJ06cgI+PD4D6hGb79u3w9/fH4MGDIRAIcPv2bfz8889ISUlBYmIirKysWt2OtWvXIj4+Hv369UNYWBgsLS1RWFiIS5cuITU1FcOHDwcAiMVifPHFF/Dx8UFQUBC6deuG3Nxc/O9//0NycjJ27dqFwYMHt7odFRUVmDVrFu7evQsfHx8EBgaisrISp0+fxty5c/H1119j/PjxAICoqChkZGTg9OnTGDduHDseZeDAgYiKikJ6ejrS09MRERHBjmPp1q0bgPpB+QsXLkRNTQ2Cg4PRr18/5Ofn4/Dhw0hOTsaePXvQt29ftl1//vknFi1aBIlEgsDAQISGhkIsFiMjIwM7duzAlClT4Ovri4iICCQmJsLX1xe+vr7s8qr1NkUmk2HevHm4evUqPDw8MHfuXJSWluLYsWM4d+4c1q9fj3/84x8AgIiICLi7u2PHjh1wd3dnP4/G63uW7du3Iy0tDZMmTcKYMWOQnJyM77//Hrdv30Z8fLza2JfTp09jxYoV4PF4GDt2LJycnJCVlYVdu3YhJSUFe/fuhbW1tVr9Dx48wPTp0+Hq6oqIiAiIxWIIBAIAwJdffokffvgB3bt3x7hx42BnZ4eCggJcuHABHh4eEIlE7OexcOFCpKenY9CgQXjttdcgl8uRlJSEpUuXYvXq1Zg1a1aT29i7d2/4+PggPT0dhYWF6NGjh9r006dPQyKRYN68eWoxaMk6i4qKMH36dBQWFiIwMBAeHh7IysrC/Pnz4efn16xYqHz99dfYvHkzHBwcMH36dPB4PBw/fhz37t3TOn9LjpPGYmJicP36dYwePRpcLhfHjh3Dp59+CoFAgGnTprHz1dTUYPbs2cjMzIS3tzeGDx+OgoICREdHY+TIkVrbpOt9hRBiIBhCiNG6c+cOM3DgQCYwMJDJzc1Vm6ZUKplHjx6x70tKShiJRKJRR2JiIiMSiZjNmzerlc+aNYsRiURa1xsbG8uIRCK1dfr6+jKjRo1iqqurNdpRXl7OvpdKpWrtUsnMzGSGDh3KzJs3T608NTWVEYlEzMaNG7W25WkxMTGMSCRi9u/fr1ZeXFzMBAUFMf7+/kxtbS1b/ssvvzAikYj55ZdfNOrauHEjIxKJmNTUVLVymUzGBAcHM97e3kxGRobatIsXLzIDBw5klixZorbNQUFBjLu7O5OUlKSxnoKCglZvr8qmTZsYkUjEvPvuu4xSqWTLMzIyGE9PT2b48OFMZWUlW56bm8uIRCImNja22etQfR5eXl5MZmYmWy6Xy5n58+czIpGISUxMZMvLysqYYcOGMaNHj2by8/PV6jp8+DAjEomYTz/9VKNNIpGI2bBhg8b6z5w5w4hEIiYsLIwpKytTmyaXy5ni4mL2/bp16xiRSMTExcWpfR6VlZXMlClTGA8PD7X9UFus9+7dy4hEImbr1q0abVmyZAkjEomY+/fvt3qdquPo6WMvISGB/Rye3ve0uXfvHjNw4EBmzJgxap+LRCJhQkNDGZFIxMyaNUttmZYeJ6rvg6lTp6rtR1lZWcygQYOYCRMmqNWj+jw/+ugjtfKzZ8+y29b4mNP1vkIIMRzUDYwQI5aQkACFQoEVK1agT58+atM4HI7ar8F2dnawtLTUqCM8PBxCoRDnz59vc3sEAgF4PJ5GO7p3786+NzEx0fiVGgAGDBgAPz8/XLx4EXK5vFXrLysrw7FjxxAQEIBXX31VbZq9vT0WLlyIsrKyNm/rmTNnkJ+fj8jISLi7u6tN8/Hxwbhx45CUlASJRAKg/hfjgoICvPLKKxg9erRGfU5OTm1qD1DfnUsgEGDlypVqVzbc3d3ZX5yb6orUUuHh4RgwYAD7ns/nIzo6GgDw66+/suUHDx6ERCJBTEyMxsD1sLAweHh44LffftOo38HBAW+99ZZGuaq70YcffggbGxu1aXw+nx1bpFQq8fPPP6N///5YtmyZ2uchFAqxbNkyyOXy53ZJmjhxIkxMTHDo0CG18rKyMqSkpGDo0KHo379/q9Ypk8lw9OhR2NnZYcGCBWr1T506Fc7Ozs9sW2O//fYbFAoF5s+fr/a5WFpaav0c23KcxMTEQCgUsu9dXFwwbNgwZGdns/s7UL8fCAQCvP3222rLBwYGIiAgQKNeXe8rhBDDQd3ACDFi169fB1B/AtAcJ0+exJ49e3Dr1i08fvwYCoWCnaYaaN5aEydOREJCAiZPnoyQkBD4+vpi6NChsLCw0Jg3IyMD8fHxuHz5MkpKSjSSk/Lycjg6Ora4DTdu3IBCoYBUKtU6/uL+/fsAgHv37rFjNlrj6tWrbD3a1lNcXAylUons7Gx4eXmxcWqq+0tbSSQS5Obm4sUXX9Sa+Pj5+WHPnj24c+cOwsPD27y+l156SaPMy8sLZmZmyMjIYMtUn9O1a9eQk5OjsYxUKkV5eTnKysrUBre7ubnBxMREY/7r16/DxMTkud3VsrOzIRaL4ejoiE2bNmlMLysrA4Amu0ipWFlZITg4GCdOnMBff/3FjuE6evQo5HI5XnnllVavMzs7G1KpFP7+/jA1NVWbl8vlYtiwYez++jx37twBAHh7e2tM01bWluPEw8NDY37Vjw+VlZUQCoWQSCTIy8uDq6ur1hs4+Pj44MKFC2plut5XCCGGg5IVQoxYZWUlOBxOs+7otG3bNqxZswa2trYYOXIknJycYGZmBgD48ccfW301Q+Wjjz5C3759kZiYiG+//RbffvstTE1NERISgtjYWPYE48qVK+yg5ZEjR8LZ2RkWFhbgcDj4/fffcefOHchksla1QSwWs+t4elB5YzU1Na2q/+n1HD58+JnzqdZTWVkJAFqvKOmC6hdtOzs7rdNVVxxU7WirptZjZ2fH3kENePI5NTUAW+XpeDR197XKykr06NEDXO6zOxVUVFQAAO7evYu7d+82e73ahIeH48SJEzh8+DCbrBw6dAgCgQCTJk1q9TpVsXjWZ9lcqvhru5uZts+yLceJtnFtfH79qYjqx49ntQfQvm263lcIIYaDkhVCjJiVlRUYhkFxcfEzT4Tr6uqwefNmODo64uDBg2onEQzDID4+XmMZVTeWuro69mRERdtJr0AgQGRkJCIjI1FYWIiLFy/iwIED+PXXX1FSUoIffvgBAPDdd99BJpNh9+7dGr/Qq35dbS1V95QFCxawd/lqD6r1fPfdd826QqM6wWt8It8e7dF2V7fG5Y2777TFs9bTeB2q14cPH2YHvjdHUw+ntLKyYq9aPSthUa13woQJ2LhxY7PXq83o0aNhY2ODI0eO4N1330VOTg6uXbuGcePGqXW5auk6VfvE82LWHKp1l5WVsTeCUCkpKWly/vY6Thq3Rxtt26brfYUQYjhozAohRkx116yUlJRnzldeXo7KykoMHTpU49fOGzduoLa2VmMZ1V13nj7BViqVbLeTpvTo0QNhYWGIj4+Hs7Mzzp8/z64jJycH3bt310hUampq2nzrYi8vL3A4HPz5559tqud5VJ97c5Mr1fznzp177ryqMT+Nu+g9j1AoRN++fZGTk6M1IUpPTwcAjfE1rXX58mWNMtV+pLqjGtDyz+l5Bg8eDJlMxm5PU1588UUIhULcvHmzzVcMBQIBQkJCUFBQgPT0dHb8SuMuYK1Z5wsvvABTU1PcvHlT45bPSqXymVc8nqaKq7b9XltZex8nQqEQffr0wYMHD1BcXKwxXdutkXW9rxBCDAclK4QYsddffx08Hg8bNmzQeLYHwzDsOBQ7OzuYmZnh1q1bat0oxGIxPv/8c611e3p6AqgfuN3Y9u3bNZ5joHoaOsMwauXV1dWoqqoCn89nfwnv3bs3xGKxWlcZhUKBNWvWNPlLbHM5ODggJCQEf/75J+Lj4zXaA9T3iW9rNzDVLaK3b9+u9ZkYcrlc7YRs3LhxcHJywqFDh3D27FmN+RsnGE0lic/zz3/+E3K5HGvXrlXb7szMTBw4cABWVlZab0XbGgcPHlSLX11dHdavX8+2Q+XVV1+FpaUl1q9fr7VrVE1NTYtOTt944w0AwL///W+221XjNqiuIvD5fMyYMQP5+flYs2aN1uQhMzOz2VcvVON8Dh06hMOHD6Nbt24YO3as2jwtXaeJiQlCQkJQWlqKbdu2qc23b9++Zo9XAYBJkyaBy+Xiv//9r9rzSKqrq/Hdd99pzN8Rx0l4eDjkcrnGVaaUlBSN8SqA7vcVQojhoG5ghBgxNzc3/N///R8+//xzhIWFYdy4cejduzeKi4tx6dIlBAUF4cMPPwSXy8XMmTOxbds2hIeHIzg4GBKJBMnJyejdu7fWwexTpkxBfHw84uLikJGRgX79+uHmzZvIzMyEr6+v2q/btbW1mDdvHvr27YshQ4agZ8+eqK6uxpkzZ1BcXIxFixaxg2BnzZqFlJQUzJw5EyEhITAxMWGfZfF0va3xr3/9C9nZ2fjPf/6DgwcPwtvbG0KhEI8ePcKtW7dw//59pKSkwNzcvNXrMDExwddff41FixZh1qxZCAgIYO+OVVBQgEuXLqF79+44fvw4O/+GDRsQGRmJRYsWYdSoUXB3d4dEIkFGRgZqa2vZu2i5uLjA0dERv/32G8zMzODk5AQOh4MZM2Y88zk4ixYtQlJSEg4ePIisrCwEBASwd32qq6vDmjVrdNYNbMSIEZg2bRpCQ0NhbW2N5ORkZGZmIjAwUG0Av62tLdatW4d33nkH4eHhGDVqFFxcXCCVSvHw4UOkp6fD29ub7SL4PEFBQViwYAG2bduGCRMmYPz48ew4mQsXLmDBggXsc0/efvtt3L59Gzt37kRSUhKGDx8OW1tbFBYWIjMzE3fu3MGePXuaNTZk6NChcHZ2xsGDByGXyzFt2jStg7pbus53330XFy5cwIYNG3D58mUMGjQIWVlZSEpKQmBg4HOvmKq4uLhg8eLF+O677zB58mRMnDgRfD4fJ0+ehEgkQmZmpkZ3qfY+TiIjI3Hq1Cns3bsXd+/eZZ+zcvz4cYwZMwZnzpxRm1/X+wohxHBQskKIkZs1axYGDBiA7du34+zZs6iqqoKdnR2GDBmCkJAQdr6YmBhYW1sjMTERu3fvhr29PUJDQ7F8+XJMnjxZo14HBwf8+OOP+PLLL3Hu3DmkpqbCz88Pe/fuxbfffqs2r7m5OVauXInU1FRcunQJpaWlsLa2houLC1auXKk2EDk4OBgbN27Eli1bcOjQIZiZmcHf3x/ffPMNvvnmmzZ/Ht27d0dCQgJ27dqFo0eP4vDhw1AqlbC3t4e7uzveeustjdvetsbgwYNx6NAhxMfHIzk5GZcvX2Zvyzx+/HiEhoaqze/t7Y3ExERs2bKF/XW5W7duePHFF/H666+z8/F4PGzatAlfffUVDh48iKqqKgD1v54/K1kxNTXFjz/+iK1bt+Lo0aP473//C3Nzc/j4+GDJkiXsw0F1Yf78+QgODsaOHTuQk5MDW1tbLF68WOOWvQAwZswYJCYm4ocffsCFCxdw7tw5WFhYoEePHpgyZYpGd6rniY2Nhbe3N3bt2oUTJ05AKpXCwcEB/v7+andbMzExwdatW7F//378+uuvOHHiBGQyGezt7dnPvCVjIyZPnszeOaupNrd0nY6OjkhISMB//vMfpKSk4NKlS/Dw8MD27duRmpra7GQFAKKjo9GjRw/s2rULCQkJsLOzw6RJkzB37lz88ccfGolqex8nFhYW2LlzJ9atW4dTp07h9u3bcHV1xfr161FZWamRrAC631cIIYaBw2i7fksIIYToWFxcHDZt2oQdO3a0+AnrRD/Onz+P+fPnIzIyEu+9956+m0MIMUI0ZoUQQggxcmVlZRo3ZXj8+DHWrl0LADobr0QIIS1F3cAIIYQQI3fo0CFs27YN/v7+cHR0RHFxMc6ePYvS0lJMmTJF68MhCSGkI1CyQgghhBi5YcOGIS0tDefPn4dYLAaPx4OLiwuWLl2KmTNn6rt5hBAjRmNWCCGEEEIIIQaJxqwQQgghhBBCDBIlK4QQQgghhBCDRMkKIYQQQgghxCBRskIIIYQQQggxSJSsEEIIIYQQQgwSJSuEEEIIIYQQg0TJCiGEEEIIIcQgUbJCCCGEEEIIMUj/DyqDwlzNU5mwAAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"direct_posterior = direct_effect_inference.posterior\n",
"\n",
"# Select by gender; note: p_accept already has link function applied\n",
"female_posterior = direct_posterior.sel(gender=\"female\")[\n",
" \"p_accept\"\n",
"] # shape: (chain x draw x department)\n",
"male_posterior = direct_posterior.sel(gender=\"male\")[\n",
" \"p_accept\"\n",
"] # shape: (chain x draw x department)\n",
"contrast = male_posterior - female_posterior # shape: (chain x draw x department)\n",
"\n",
"_, ax = plt.subplots(figsize=(8, 4))\n",
"# marginalize / collapse the contrast across all departments\n",
"az.plot_dist(contrast)\n",
"plt.axvline(0, linestyle=\"--\", color=\"k\", label=\"No Difference\")\n",
"plt.xlim([-0.3, 0.3])\n",
"plt.xlabel(\"causal effect of perceived gender\")\n",
"plt.ylabel(\"density\")\n",
"plt.title(\"Posterior contrast of $p_{accept}$,\\npositive values indicate male advantage\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "c690ef0e-7e4e-4610-89af-b0a47eb464ee",
"metadata": {},
"source": [
"## Discrimination?\n",
"Hard to say\n",
"- Big structural effects\n",
"- Distribution of applicants could be due to discrimination\n",
"- **Confounds are likely**"
]
},
{
"cell_type": "markdown",
"id": "972680ad",
"metadata": {},
"source": [
"# BONUS: Survival Analysis\n",
"- Counts often modeled as time-to-event (i.e. Exponential or Gamma distribution) -- Goal is to estimate event rate\n",
"- Tricky b.c. ignoring **censored data** can lead to inferential errors\n",
" - **Left censored**: we don't know when the timer started\n",
" - **Right censored** the observation period finished before the event had time to happen"
]
},
{
"cell_type": "markdown",
"id": "07142c63-c540-44c7-9e2e-6c75d7415604",
"metadata": {},
"source": [
"## Example: Austin Cat Adoption\n",
"\n",
"- 20k cats\n",
"- Events: adopted (1) or not (0)\n",
"- Censoring mechanisms\n",
" - death before adoption\n",
" - escape\n",
" - not adopted yet\n",
"\n",
"**Goal**: determine if Black are adopted at a lower rate than non-Black cats."
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "da2faea6",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
id
\n",
"
days_to_event
\n",
"
date_out
\n",
"
out_event
\n",
"
date_in
\n",
"
in_event
\n",
"
breed
\n",
"
color
\n",
"
intake_age
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
A730601
\n",
"
1
\n",
"
07/08/2016 09:00:00 AM
\n",
"
Transfer
\n",
"
07/07/2016 12:11:00 PM
\n",
"
Stray
\n",
"
Domestic Shorthair Mix
\n",
"
Blue Tabby
\n",
"
7
\n",
"
\n",
"
\n",
"
1
\n",
"
A679549
\n",
"
25
\n",
"
06/16/2014 01:54:00 PM
\n",
"
Transfer
\n",
"
05/22/2014 03:43:00 PM
\n",
"
Stray
\n",
"
Domestic Shorthair Mix
\n",
"
Black/White
\n",
"
1
\n",
"
\n",
"
\n",
"
2
\n",
"
A683656
\n",
"
4
\n",
"
07/17/2014 04:57:00 PM
\n",
"
Adoption
\n",
"
07/13/2014 01:20:00 PM
\n",
"
Stray
\n",
"
Snowshoe Mix
\n",
"
Lynx Point
\n",
"
2
\n",
"
\n",
"
\n",
"
3
\n",
"
A709749
\n",
"
41
\n",
"
09/22/2015 12:49:00 PM
\n",
"
Transfer
\n",
"
08/12/2015 06:29:00 PM
\n",
"
Stray
\n",
"
Domestic Shorthair Mix
\n",
"
Calico
\n",
"
12
\n",
"
\n",
"
\n",
"
4
\n",
"
A733551
\n",
"
9
\n",
"
09/01/2016 12:00:00 AM
\n",
"
Transfer
\n",
"
08/23/2016 02:35:00 PM
\n",
"
Stray
\n",
"
Domestic Shorthair Mix
\n",
"
Brown Tabby/White
\n",
"
1
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" id days_to_event date_out out_event \\\n",
"0 A730601 1 07/08/2016 09:00:00 AM Transfer \n",
"1 A679549 25 06/16/2014 01:54:00 PM Transfer \n",
"2 A683656 4 07/17/2014 04:57:00 PM Adoption \n",
"3 A709749 41 09/22/2015 12:49:00 PM Transfer \n",
"4 A733551 9 09/01/2016 12:00:00 AM Transfer \n",
"\n",
" date_in in_event breed color \\\n",
"0 07/07/2016 12:11:00 PM Stray Domestic Shorthair Mix Blue Tabby \n",
"1 05/22/2014 03:43:00 PM Stray Domestic Shorthair Mix Black/White \n",
"2 07/13/2014 01:20:00 PM Stray Snowshoe Mix Lynx Point \n",
"3 08/12/2015 06:29:00 PM Stray Domestic Shorthair Mix Calico \n",
"4 08/23/2016 02:35:00 PM Stray Domestic Shorthair Mix Brown Tabby/White \n",
"\n",
" intake_age \n",
"0 7 \n",
"1 1 \n",
"2 2 \n",
"3 12 \n",
"4 1 "
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"CATS = utils.load_data(\"AustinCats\")\n",
"CATS.head()"
]
},
{
"cell_type": "markdown",
"id": "5b74222f-6a36-4032-8756-aca29f31df1e",
"metadata": {},
"source": [
"### Modeling outcome variable: `days_to_event`\n",
"Two go-to distributions for modeling time-to-event\n",
"\n",
"**Exponential Distribution**:\n",
"- simpler of the two (single parameter)\n",
"- assumes constant rate\n",
"- maximum entropy distribution amongst the set of non-negative continuous distributions that have the same average rate.\n",
"- assumes a single thing to occur (e.g. part failure) before an event occurs (machine breakdown)\n",
"\n",
"**Gamma Distribution**\n",
"- more complex of the two (two parameters)\n",
"- maximum entropy distribution amongst the set of distributions with the same mean and average log.\n",
"- assumes multiple things to happen (e.g. part failures) before an event occurs (machine breakdown)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "bd9ea91e-b24f-4bbe-b64e-861a8bf0d7d6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, axs = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"days = np.linspace(0, 100, 100)\n",
"\n",
"plt.sca(axs[0])\n",
"for scale in [20, 50]:\n",
" expon = stats.expon(loc=0.01, scale=scale)\n",
" utils.plot_line(days, expon.pdf(days), label=f\"$\\\\lambda$=1/{scale}\")\n",
"plt.xlabel(\"days\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend()\n",
"plt.title(\"Exponential Distribution\")\n",
"\n",
"\n",
"plt.sca(axs[1])\n",
"N = 8\n",
"alpha = 10\n",
"for scale in [2, 5]:\n",
" gamma = stats.gamma(a=10, loc=alpha, scale=scale)\n",
" utils.plot_line(days, gamma.pdf(days), label=f\"$\\\\alpha$={alpha}, $\\\\beta$={scale}\")\n",
"plt.xlabel(\"days\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend()\n",
"plt.title(\"Gamma Distribution\");"
]
},
{
"cell_type": "markdown",
"id": "255b8f2c",
"metadata": {},
"source": [
"## Censored and un-censored observations\n",
"- Observed data use the Cumulative distribution; i.e. the **probability that the event occurred by time x**\n",
"- Unobserved (censored) data instead require the Complementary of the CDF; i.e. the **probability that the event hasn't happened yet**. "
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "8d23a797",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs = np.linspace(0, 5, 100)\n",
"_, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
"plt.sca(axs[0])\n",
"cdfs = {}\n",
"for lambda_ in [0.5, 1]:\n",
" cdfs[lambda_] = ys = 1 - np.exp(-lambda_ * xs)\n",
" utils.plot_line(xs, ys, label=f\"$\\\\lambda={lambda_}$\")\n",
"\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"$1 - \\\\exp(-x)$\")\n",
"plt.legend()\n",
"plt.title(\"CDF\\np(event happened before or at time x| $\\\\lambda$)\", fontsize=12)\n",
"\n",
"plt.sca(axs[1])\n",
"for lambda_ in [0.5, 1]:\n",
" ys = 1 - cdfs[lambda_]\n",
" utils.plot_line(xs, ys, label=f\"$\\\\lambda={lambda_}$\")\n",
"\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"$\\\\exp(-x)$\")\n",
"plt.legend()\n",
"plt.title(\"CCDF\\np(event hasn't happened before or at time x| $\\\\lambda$)\", fontsize=12);"
]
},
{
"cell_type": "markdown",
"id": "f4798195",
"metadata": {},
"source": [
"## Statistical Model"
]
},
{
"cell_type": "markdown",
"id": "6676747b",
"metadata": {},
"source": [
"$$\n",
"\\begin{align*}\n",
"D_i | A_i &= 1 \\sim \\text{Exponential}(\\lambda_i) \\\\\n",
"D_i | A_i &= 0 \\sim \\text{ExponentialCCDF}(\\lambda_i) \\\\\n",
"\\lambda_i &= \\frac{1}{\\mu_i} \\\\\n",
"\\log \\mu_i &= \\alpha_{\\text{cat color}[i]} \\\\\n",
"\\alpha_{Black, Other} &\\sim \\text{Exponential}(\\gamma)\n",
"\\end{align*}\n",
"$$\n",
"\n",
"- $D_i | A_i = 1$ - observed adoptions\n",
"- $D_i | A_i = 1$ - not-yet-observed adoptions\n",
"- $\\alpha_{\\text{cat color}[i]}$ log average time-to-adoption for each cat color\n",
"- $\\log \\mu_i$ -- link function ensures $\\alpha$s are positive\n",
"- $\\lambda_i = \\frac{1}{\\mu_i}$ simplifies estimating average **time-to-adoption**"
]
},
{
"cell_type": "markdown",
"id": "f8aebfb1",
"metadata": {},
"source": [
"### Finding reasonable hyperparameter for $\\alpha$\n",
"We'll need to determine a reasonable data for the Exponential prior mean parameter $\\gamma$. To do so, we'll look at the empirical distribution of time to adoption:"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "739e2af8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# determine reasonable prior for alpha\n",
"plt.subplots(figsize=(6, 3))\n",
"CATS[CATS.out_event == \"Adoption\"].days_to_event.hist(bins=100)\n",
"plt.xlim([0, 500]);"
]
},
{
"cell_type": "markdown",
"id": "c2053b7b",
"metadata": {},
"source": [
"Using the above empirical historgram, we see that a majority of the probablity mass is between zero and 200, so let's use 50 as the expected wait time."
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "7ea66a5c",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [alpha]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "21fa1488dd1741cfa061d8e294ba8b95",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 14 seconds.\n"
]
}
],
"source": [
"CAT_COLOR_ID, CAT_COLOR = pd.factorize(CATS.color.apply(lambda x: \"Other\" if x != \"Black\" else x))\n",
"ADOPTED_ID, ADOPTED = pd.factorize(\n",
" CATS.out_event.apply(lambda x: \"Other\" if x != \"Adoption\" else \"Adopted\")\n",
")\n",
"DAYS_TO_ADOPTION = CATS.days_to_event.values.astype(float)\n",
"LAMBDA = 50\n",
"\n",
"with pm.Model(coords={\"cat_color\": CAT_COLOR}) as adoption_model:\n",
"\n",
" # Censoring\n",
" right_censoring = DAYS_TO_ADOPTION.copy()\n",
" right_censoring[ADOPTED_ID == 0] = DAYS_TO_ADOPTION.max()\n",
"\n",
" # Priors\n",
" gamma = 1 / LAMBDA\n",
" alpha = pm.Exponential(\"alpha\", gamma, dims=\"cat_color\")\n",
"\n",
" # Likelihood\n",
" log_adoption_rate = 1 / alpha[CAT_COLOR_ID]\n",
" pm.Censored(\n",
" \"adopted\",\n",
" pm.Exponential.dist(lam=log_adoption_rate),\n",
" lower=None,\n",
" upper=right_censoring,\n",
" observed=DAYS_TO_ADOPTION,\n",
" )\n",
" adoption_inference = pm.sample()"
]
},
{
"cell_type": "markdown",
"id": "e7286154",
"metadata": {},
"source": [
"## Poor black kitties 🐈⬛\n",
"It appears that black cats DO take longer to get adopted."
]
},
{
"cell_type": "markdown",
"id": "129d2964-006d-405a-8810-9a705e75e132",
"metadata": {},
"source": [
"#### Posterior Summary"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "6633ee08",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(figsize=(4, 2))\n",
"az.plot_forest(adoption_inference, var_names=[\"alpha\"], combined=True, hdi_prob=0.89, ax=ax)\n",
"plt.xlabel(\"days to adoption\");"
]
},
{
"cell_type": "markdown",
"id": "722c425d-8912-43c5-90a1-37556f136001",
"metadata": {},
"source": [
"#### Posterior distributions"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "9816d8b1-1b4e-4a24-bd0c-30cd5440125f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for ii, cat_color in enumerate([\"Black\", \"Other\"]):\n",
" color = \"black\" if cat_color == \"Black\" else \"C0\"\n",
" posterior_alpha = adoption_inference.posterior.sel(cat_color=cat_color)[\"alpha\"]\n",
" az.plot_dist(posterior_alpha, color=color, label=cat_color)\n",
"plt.xlabel(\"waiting time\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "a0affc7f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"days_until_adoption_ = np.linspace(1, 100)\n",
"n_posterior_samples = 25\n",
"\n",
"for cat_color in [\"Black\", \"Other\"]:\n",
" color = \"black\" if cat_color == \"Black\" else \"C0\"\n",
" posterior = adoption_inference.posterior.sel(cat_color=cat_color)\n",
" alpha_samples = posterior.alpha.sel(chain=0)[:n_posterior_samples].values\n",
" for ii, alpha in enumerate(alpha_samples):\n",
" label = cat_color if ii == 0 else None\n",
" plt.plot(\n",
" days_until_adoption_,\n",
" np.exp(-days_until_adoption_ / alpha),\n",
" color=color,\n",
" alpha=0.25,\n",
" label=label,\n",
" )\n",
"\n",
"plt.xlabel(\"days until adoption\")\n",
"plt.ylabel(\"fraction\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "470ede57",
"metadata": {},
"source": [
"## Authors\n",
"* Ported to PyMC by Dustin Stansbury (2024)\n",
"* Based on Statistical Rethinking (2023) lectures by Richard McElreath"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "96346b22",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Last updated: Tue Dec 17 2024\n",
"\n",
"Python implementation: CPython\n",
"Python version : 3.12.5\n",
"IPython version : 8.27.0\n",
"\n",
"pytensor: 2.26.4\n",
"aeppl : not installed\n",
"xarray : 2024.7.0\n",
"\n",
"statsmodels: 0.14.2\n",
"numpy : 1.26.4\n",
"pandas : 2.2.2\n",
"matplotlib : 3.9.2\n",
"scipy : 1.14.1\n",
"xarray : 2024.7.0\n",
"pymc : 5.19.1\n",
"arviz : 0.19.0\n",
"\n",
"Watermark: 2.5.0\n",
"\n"
]
}
],
"source": [
"%load_ext watermark\n",
"%watermark -n -u -v -iv -w -p pytensor,aeppl,xarray"
]
},
{
"cell_type": "markdown",
"id": "19836bdb",
"metadata": {},
"source": [
":::{include} ../page_footer.md\n",
":::"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}