{
"cells": [
{
"cell_type": "markdown",
"id": "4989e920-eafa-4c5f-a280-2ea972e2e71d",
"metadata": {},
"source": [
"(lecture_10)=\n",
"# Counts and Hidden Confounds\n",
":::{post} Jan 7, 2024\n",
":tags: statistical rethinking, bayesian inference, probability\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 10 - Counts and Hidden Confounds](https://youtu.be/jokxu18egu0)# [Lecture 10 - Counts and Hidden Confounds](https://www.youtube.com/watch?v=jokxu18egu0)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "78e9ad06",
"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": "6f874132-8b78-40bd-826a-bec1c05b66b3",
"metadata": {},
"source": [
"# Revisiting Generalized Linear Models\n",
"- Expected value is **some function** of an additive combination of parameters\n",
" - That function tends to be tied to the data Likelihood distribution -- e.g. Identity for the Normal distribution (linear regression) or the log odds for Bernoulli/Binomial distribution (logistic regression)\n",
"- Uniform changes in predictors are not generally associated with uniform changes in outcomes\n",
"- Predictor variables interact -- causal intererpretation of coefficients (outside of simplest models) is fraught with misleading conclusions"
]
},
{
"cell_type": "markdown",
"id": "54edf5d6",
"metadata": {},
"source": [
"# Confounded Admissions"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "cc56c437",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"G \n",
"\n",
"Gender, G \n",
" \n",
"\n",
"\n",
"D \n",
"\n",
"Department, D \n",
" \n",
"\n",
"\n",
"G->D \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"A \n",
"\n",
"Admission, A \n",
" \n",
"\n",
"\n",
"G->A \n",
" \n",
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"\n",
"\n",
"D->A \n",
" \n",
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" \n",
"\n",
"\n",
"u \n",
"\n",
"Ability, u \n",
" \n",
"\n",
"\n",
"u->D \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"u->A \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"unobserved \n",
"\n",
"unobserved \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 2,
"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={\n",
" \"u\": {\"style\": \"dashed\", \"label\": \"Ability, u\"},\n",
" \"G\": {\"label\": \"Gender, G\"},\n",
" \"D\": {\"label\": \"Department, D\"},\n",
" \"A\": {\"label\": \"Admission, A\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "8710b874-d61d-4007-ab4a-d27f3f24285a",
"metadata": {},
"source": [
"- We estimated Direct and Total effect of Gender on Admission rates in order to identify different flavors of gender discrimination in admissions\n",
"- However, it's implausible that there are no uobserved confounds between variables,\n",
" - e.g. Applicant ability could link Department to Admission rate\n",
" - affects which students apply to each department (more ability biases department application)\n",
" - also affect baseline admission rates (more ability leads to higher admission rates)"
]
},
{
"cell_type": "markdown",
"id": "69370889",
"metadata": {},
"source": [
"### Generative Simulation"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "311ecd0b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Acceptance Probabilities\n",
"(ability x dept x gender):\n",
"\n",
" [[[0.1 0.1]\n",
" [0.1 0.3]]\n",
"\n",
" [[0.3 0.5]\n",
" [0.3 0.5]]]\n"
]
}
],
"source": [
"np.random.seed(1)\n",
"\n",
"# Number of applicants\n",
"n_samples = 2000\n",
"\n",
"# Gender equally likely\n",
"G = np.random.choice([0, 1], size=n_samples, replace=True)\n",
"\n",
"# Unobserved Ability -- 10% have High, everyone else is Average\n",
"u = stats.bernoulli.rvs(p=0.1, size=n_samples)\n",
"\n",
"# Choice of department\n",
"# G0 applies to D0 with 75% probability else D1 with 1% or 0% based on ability\n",
"D = stats.bernoulli.rvs(p=np.where(G == 0, u * 1.0, 0.75))\n",
"\n",
"# Ability-based acceptance rates (ability x dept x gender)\n",
"p_u0_dg = np.array([[0.1, 0.1], [0.1, 0.3]])\n",
"p_u1_dg = np.array([[0.3, 0.5], [0.3, 0.5]])\n",
"p_udg = np.array([p_u0_dg, p_u1_dg])\n",
"print(\"Acceptance Probabilities\\n(ability x dept x gender):\\n\\n\", p_udg)\n",
"\n",
"# Simulate acceptance\n",
"p = p_udg[u, D, G]\n",
"A = stats.bernoulli.rvs(p=p)"
]
},
{
"cell_type": "markdown",
"id": "739e73d9",
"metadata": {},
"source": [
"## Total Effect Estimator"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "0d29e415",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"G \n",
"\n",
"Gender, G \n",
" \n",
"\n",
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"D \n",
"\n",
"Department, D \n",
" \n",
"\n",
"\n",
"G->D \n",
" \n",
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"A \n",
"\n",
"Admission, A \n",
" \n",
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"G->A \n",
" \n",
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" \n",
"\n",
"\n",
"D->A \n",
" \n",
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"\n",
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"u \n",
"\n",
"Ability, u \n",
" \n",
"\n",
"\n",
"u->D \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"u->A \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"unobserved \n",
"\n",
"unobserved \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\"), (\"u\", \"D\"), (\"u\", \"A\")],\n",
" node_props={\n",
" \"u\": {\"style\": \"dashed\", \"label\": \"Ability, u\"},\n",
" \"G\": {\"label\": \"Gender, G\"},\n",
" \"D\": {\"label\": \"Department, D\"},\n",
" \"A\": {\"label\": \"Admission, A\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" },\n",
" edge_props={\n",
" (\"G\", \"A\"): {\"color\": \"red\"},\n",
" (\"G\", \"D\"): {\"color\": \"red\"},\n",
" (\"D\", \"A\"): {\"color\": \"red\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "b1ae9b32-0012-4b49-9f04-331eac8783fa",
"metadata": {},
"source": [
"- Estimating Total effect requires no adjustment set, model gender only in the GLM\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"A_i &\\sim \\text{Bernoulli}(p=p_i) \\\\\n",
"\\text{logit}(p_i) &= \\alpha[G_i] \\\\\n",
"\\alpha &= [\\alpha_0, \\alpha_1] \\\\\n",
"\\alpha_j &\\sim \\text{Normal}(0, 1)\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "1b3d02df-c8f0-4e5a-a3db-0bb8f163abaa",
"metadata": {},
"source": [
"### Fit the Total Effect Model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "1371f416",
"metadata": {},
"outputs": [],
"source": [
"# Define coordinates\n",
"GENDER_ID, GENDER = pd.factorize([\"G2\" if g else \"G1\" for g in G], sort=True)\n",
"DEPTARTMENT_ID, DEPARTMENT = pd.factorize([\"D2\" if d else \"D1\" for d in D], sort=True)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f4b48e2d",
"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": "77a0d816669642cdad1c4a7b96de4d7f",
"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": [
"# Gender-only model\n",
"with pm.Model(coords={\"gender\": GENDER}) as total_effect_admissions_model:\n",
" alpha = pm.Normal(\"alpha\", 0, 1, dims=\"gender\")\n",
"\n",
" # Likelihood\n",
" p = pm.math.invlogit(alpha[GENDER_ID])\n",
" pm.Bernoulli(\"admitted\", p=p, observed=A)\n",
"\n",
" # Record the probability param for simpler reporting\n",
" pm.Deterministic(\"p_admit\", pm.math.invlogit(alpha), dims=\"gender\")\n",
"\n",
" total_effect_admissions_inference = pm.sample()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "d1f3aa53",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"clustergender (2) \n",
" \n",
"gender (2) \n",
" \n",
"\n",
"cluster2000 \n",
" \n",
"2000 \n",
" \n",
"\n",
"\n",
"p_admit \n",
" \n",
"p_admit \n",
"~ \n",
"Deterministic \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"alpha->p_admit \n",
" \n",
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"\n",
"\n",
"admitted \n",
"\n",
"admitted \n",
"~ \n",
"Bernoulli \n",
" \n",
"\n",
"\n",
"alpha->admitted \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.model_to_graphviz(total_effect_admissions_model)"
]
},
{
"cell_type": "markdown",
"id": "b4945eea-fa33-4a09-a403-d63e94f4bc8f",
"metadata": {},
"source": [
"### Summarize the Total Effect Estimates"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a31c0137",
"metadata": {},
"outputs": [],
"source": [
"def summarize_posterior(inference, figsize=(5, 3)):\n",
" \"\"\"Helper function for displaying model fits\"\"\"\n",
" _, axs = plt.subplots(2, 1, figsize=figsize)\n",
" az.plot_forest(inference, var_names=\"alpha\", combined=True, ax=axs[0])\n",
" az.plot_forest(inference, var_names=\"p_admit\", combined=True, ax=axs[1])\n",
" return az.summary(inference, var_names=[\"alpha\", \"p_admit\"])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "7cd1a63a-69ce-4c19-932e-65be381a213a",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" alpha[G1] \n",
" -1.994 \n",
" 0.095 \n",
" -2.171 \n",
" -1.820 \n",
" 0.002 \n",
" 0.001 \n",
" 3847.0 \n",
" 3137.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[G2] \n",
" -1.095 \n",
" 0.075 \n",
" -1.240 \n",
" -0.958 \n",
" 0.001 \n",
" 0.001 \n",
" 4479.0 \n",
" 2904.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[G1] \n",
" 0.120 \n",
" 0.010 \n",
" 0.102 \n",
" 0.139 \n",
" 0.000 \n",
" 0.000 \n",
" 3847.0 \n",
" 3137.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[G2] \n",
" 0.251 \n",
" 0.014 \n",
" 0.223 \n",
" 0.275 \n",
" 0.000 \n",
" 0.000 \n",
" 4479.0 \n",
" 2904.0 \n",
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\n",
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"
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"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"alpha[G1] -1.994 0.095 -2.171 -1.820 0.002 0.001 3847.0 \n",
"alpha[G2] -1.095 0.075 -1.240 -0.958 0.001 0.001 4479.0 \n",
"p_admit[G1] 0.120 0.010 0.102 0.139 0.000 0.000 3847.0 \n",
"p_admit[G2] 0.251 0.014 0.223 0.275 0.000 0.000 4479.0 \n",
"\n",
" ess_tail r_hat \n",
"alpha[G1] 3137.0 1.0 \n",
"alpha[G2] 2904.0 1.0 \n",
"p_admit[G1] 3137.0 1.0 \n",
"p_admit[G2] 2904.0 1.0 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summarize_posterior(total_effect_admissions_inference)"
]
},
{
"cell_type": "markdown",
"id": "dbc98f8a",
"metadata": {},
"source": [
"## Direct Effect Estimator (now confounded due to common ability cause)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c8d398b2",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"G \n",
"\n",
"Gender, G \n",
" \n",
"\n",
"\n",
"D \n",
"\n",
"Department, D \n",
" \n",
"\n",
"\n",
"G->D \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"A \n",
"\n",
"Admission, A \n",
" \n",
"\n",
"\n",
"G->A \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"D->A \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"u \n",
"\n",
"Ability, u \n",
" \n",
"\n",
"\n",
"u->D \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"u->A \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Direct effect\n",
"adjustment set \n",
"\n",
"Direct effect \n",
"adjustment set \n",
" \n",
"\n",
"\n",
"unobserved \n",
"\n",
"unobserved \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 10,
"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={\n",
" \"u\": {\"style\": \"dashed\", \"label\": \"Ability, u\"},\n",
" \"G\": {\"label\": \"Gender, G\"},\n",
" \"D\": {\"label\": \"Department, D\", \"style\": \"filled\"},\n",
" \"A\": {\"label\": \"Admission, A\"},\n",
" \"Direct effect\\nadjustment set\": {\"style\": \"filled\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" },\n",
" edge_props={\n",
" (\"G\", \"A\"): {\"color\": \"red\"},\n",
" (\"G\", \"D\"): {\"color\": \"blue\"},\n",
" (\"u\", \"D\"): {\"color\": \"blue\"},\n",
" (\"u\", \"A\"): {\"color\": \"blue\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "7147b4cb-244a-4062-a5c1-251845f3b33d",
"metadata": {},
"source": [
"- Estimating Direct effect includes Department in the adjustment set\n",
"- However, stratifying by Department (collider) opens a confounder backdoor path through unobserved ability, u\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"A_i &\\sim \\text{Bernoulli}(p=p_i) \\\\\n",
"\\text{logit}(p_i) &= \\alpha_{[D_i, G_i]} \\\\\n",
"\\alpha &= \\begin{bmatrix} \\alpha_{0,0}, \\alpha_{0,1} \\\\ \\alpha_{1,0}, \\alpha_{1,1} \\end{bmatrix} \\\\\n",
"\\alpha_{j,k} &\\sim \\text{Normal}(0, 1)\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "2151b4ea-f8f0-4c0f-ab04-ff406865497c",
"metadata": {},
"source": [
"### Fit the (confounded) Direct Effect Model"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "8fcefb98",
"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": "88d9a62896ac49358a11bde764de0fdb",
"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 2_000 tune and 1_000 draw iterations (8_000 + 4_000 draws total) took 2 seconds.\n"
]
},
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"clusterdepartment (2) x gender (2) \n",
" \n",
"department (2) x gender (2) \n",
" \n",
"\n",
"cluster2000 \n",
" \n",
"2000 \n",
" \n",
"\n",
"\n",
"p_admit \n",
" \n",
"p_admit \n",
"~ \n",
"Deterministic \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"alpha->p_admit \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"admitted \n",
"\n",
"admitted \n",
"~ \n",
"Bernoulli \n",
" \n",
"\n",
"\n",
"alpha->admitted \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with pm.Model(\n",
" coords={\"gender\": GENDER, \"department\": DEPARTMENT}\n",
") as direct_effect_admissions_model:\n",
" # Prior\n",
" alpha = pm.Normal(\"alpha\", 0, 1, dims=[\"department\", \"gender\"])\n",
"\n",
" # Likelihood\n",
" p = pm.math.invlogit(alpha[DEPTARTMENT_ID, GENDER_ID])\n",
" pm.Bernoulli(\"admitted\", p=p, observed=A)\n",
"\n",
" # Record the acceptance probability parameter for reporting\n",
" pm.Deterministic(\"p_admit\", pm.math.invlogit(alpha), dims=[\"department\", \"gender\"])\n",
"\n",
" direct_effect_admissions_inference = pm.sample(tune=2000)\n",
"\n",
"pm.model_to_graphviz(direct_effect_admissions_model)"
]
},
{
"cell_type": "markdown",
"id": "523ba910-3342-414f-ab17-1c8ff14acfe4",
"metadata": {},
"source": [
"### Summarize the (confounded) Direct Effect Estimates"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "98cba8c1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" alpha[D1, G1] \n",
" -2.147 \n",
" 0.105 \n",
" -2.330 \n",
" -1.935 \n",
" 0.001 \n",
" 0.001 \n",
" 6328.0 \n",
" 3017.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[D1, G2] \n",
" -1.539 \n",
" 0.165 \n",
" -1.843 \n",
" -1.239 \n",
" 0.002 \n",
" 0.001 \n",
" 8058.0 \n",
" 3016.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[D2, G1] \n",
" -0.992 \n",
" 0.223 \n",
" -1.417 \n",
" -0.586 \n",
" 0.003 \n",
" 0.002 \n",
" 7155.0 \n",
" 3095.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[D2, G2] \n",
" -0.957 \n",
" 0.083 \n",
" -1.100 \n",
" -0.790 \n",
" 0.001 \n",
" 0.001 \n",
" 7375.0 \n",
" 3234.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D1, G1] \n",
" 0.105 \n",
" 0.010 \n",
" 0.087 \n",
" 0.123 \n",
" 0.000 \n",
" 0.000 \n",
" 6328.0 \n",
" 3017.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D1, G2] \n",
" 0.178 \n",
" 0.024 \n",
" 0.134 \n",
" 0.221 \n",
" 0.000 \n",
" 0.000 \n",
" 8058.0 \n",
" 3016.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D2, G1] \n",
" 0.273 \n",
" 0.044 \n",
" 0.195 \n",
" 0.357 \n",
" 0.001 \n",
" 0.000 \n",
" 7155.0 \n",
" 3095.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D2, G2] \n",
" 0.278 \n",
" 0.017 \n",
" 0.248 \n",
" 0.310 \n",
" 0.000 \n",
" 0.000 \n",
" 7375.0 \n",
" 3234.0 \n",
" 1.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"alpha[D1, G1] -2.147 0.105 -2.330 -1.935 0.001 0.001 6328.0 \n",
"alpha[D1, G2] -1.539 0.165 -1.843 -1.239 0.002 0.001 8058.0 \n",
"alpha[D2, G1] -0.992 0.223 -1.417 -0.586 0.003 0.002 7155.0 \n",
"alpha[D2, G2] -0.957 0.083 -1.100 -0.790 0.001 0.001 7375.0 \n",
"p_admit[D1, G1] 0.105 0.010 0.087 0.123 0.000 0.000 6328.0 \n",
"p_admit[D1, G2] 0.178 0.024 0.134 0.221 0.000 0.000 8058.0 \n",
"p_admit[D2, G1] 0.273 0.044 0.195 0.357 0.001 0.000 7155.0 \n",
"p_admit[D2, G2] 0.278 0.017 0.248 0.310 0.000 0.000 7375.0 \n",
"\n",
" ess_tail r_hat \n",
"alpha[D1, G1] 3017.0 1.0 \n",
"alpha[D1, G2] 3016.0 1.0 \n",
"alpha[D2, G1] 3095.0 1.0 \n",
"alpha[D2, G2] 3234.0 1.0 \n",
"p_admit[D1, G1] 3017.0 1.0 \n",
"p_admit[D1, G2] 3016.0 1.0 \n",
"p_admit[D2, G1] 3095.0 1.0 \n",
"p_admit[D2, G2] 3234.0 1.0 "
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summarize_posterior(direct_effect_admissions_inference)"
]
},
{
"cell_type": "markdown",
"id": "d27b5a2b-5dc4-4773-b058-c0d55f4ac84f",
"metadata": {},
"source": [
"### Interpreting the (confounded) Direct Effect Estimates"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "7b032701",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_department_gender_admissions(inference, title):\n",
" plt.subplots(figsize=(8, 3))\n",
" for ii, dept in enumerate([\"D1\", \"D2\"]):\n",
" for jj, gend in enumerate([\"G1\", \"G2\"]):\n",
" # note inverse link function applied\n",
" post = inference.posterior\n",
" post_p_accept = post.sel(department=dept, gender=gend)[\"p_admit\"]\n",
" label = f'{dept}({\"biased\" if ii else \"unbiased\"})-G{jj+1}'\n",
" color = f\"C{np.abs(ii - 1)}\" # flip colorscale to match lecture\n",
" linestyle = \"--\" if jj else \"-\"\n",
" az.plot_dist(\n",
" post_p_accept,\n",
" color=color,\n",
" label=label,\n",
" plot_kwargs=dict(linestyle=linestyle),\n",
" )\n",
" plt.xlim([0, 0.5])\n",
" plt.xlabel(\"admission probability\")\n",
" plt.ylabel(\"density\")\n",
" plt.title(title)\n",
"\n",
"\n",
"plot_department_gender_admissions(\n",
" direct_effect_admissions_inference, \"direct effect, confounded model\"\n",
")"
]
},
{
"cell_type": "markdown",
"id": "4ff5cb4e",
"metadata": {},
"source": [
"#### Interpreting the Confounded Direct Effect Model\n",
"- In D1, G1 appears to be disatvantaged, with a lower admission rate. However, we know this isn't true. What's happening is that all the higher-ability G1 applicants are being sent to D2, thus artificially lowering the G1 acceptance rate in D1\n",
"- We know that there is bias in D2, however, we see little evidence for discrimination. This is due to higher-ability G1 applicatins ofsetting this bias by having higher-than-average acceptance\n",
"- We can see that G1 estimates for D2 have higher variance; this is due to there being only 10% of applicants having high ability, thus fewer G1 applicants overall apply to D2.\n",
"\n",
"#### You guessed it: Collider Bias\n",
"- **This is due to _collider bias_**\n",
" - stratifying by Department--which forms a colider with Gender and ability--opens a path through the ability to acceptance.\n",
" - **You CANNOT estimate _Direct effect_ of $D$ on $G$**\n",
" - **You CAN estimate the _Total effect_**\n",
"- **sorting can mask or accentuate bias**\n"
]
},
{
"cell_type": "markdown",
"id": "a06db919-b4bf-456c-b02b-34011bf12cdb",
"metadata": {},
"source": [
"## Analogous Example: NAS Membership & Citations\n",
"\n",
"Two papers\n",
"- same data\n",
"- find drastically different conclusions about Gender and its effect on admission to the National Academy of Sciences (NAS)\n",
" - One found Women are strongly advantaged\n",
" - The other found woemen strongly disadvantaged\n",
"- How can both conclusions be true?"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "5bda2e1b-7f5d-4307-89bf-8670b1eadad2",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"G \n",
"\n",
"Gender, G \n",
" \n",
"\n",
"\n",
"C \n",
"\n",
"Citations, C \n",
" \n",
"\n",
"\n",
"G->C \n",
" \n",
" \n",
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"\n",
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"M \n",
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"NAS Member, M \n",
" \n",
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"G->M \n",
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"C->M \n",
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"q \n",
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"Researcher quality, q \n",
" \n",
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"q->C \n",
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"q->M \n",
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"\n",
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"unobserved \n",
"\n",
"unobserved \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"G\", \"C\"), (\"G\", \"M\"), (\"C\", \"M\"), (\"q\", \"C\"), (\"q\", \"M\")],\n",
" node_props={\n",
" \"q\": {\"style\": \"dashed\", \"label\": \"Researcher quality, q\"},\n",
" \"G\": {\"label\": \"Gender, G\"},\n",
" \"C\": {\"label\": \"Citations, C\"},\n",
" \"M\": {\"label\": \"NAS Member, M\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "87e926b3-95f2-4dee-86ae-e720e9ba496a",
"metadata": {},
"source": [
"- There are likely latent Researcher quality difference\n",
"- Stratifying by number of citations opens up a collider bias with unobserved Researcher quality\n",
" Citations is a **post-treatment variable**\n",
"- Citation-stratification provide misleading conclusions\n",
"- e.g. if there is discrimination in publication/citation, one gender may get elected at a higher rate just because they will have higher quality on on average for any citation level\n",
"\n",
"### No Causes in, no causes out\n",
"\n",
"These papers suffere from a number of shortcomings\n",
"\n",
"- vague estimands\n",
"- unwise adjustment sets\n",
"- requires stronger assumptions than presented\n",
"- collider bias could affect policy design in a bad way\n",
"- qualitative data can be useful in these circumstances\n"
]
},
{
"cell_type": "markdown",
"id": "4741bc05",
"metadata": {},
"source": [
"## Sensitivity Analysis: Modeling latent ability confound variable\n",
"\n",
"**What are the implications of things we can't measure?**\n",
"\n",
"Similar to Direct Effect scenario\n",
"\n",
"- Estimatinge Direct effect includes Department in the adjustment set\n",
"- However, stratifying by Department (collider) opens a confounder backdoor path through unobserved ability, u"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "c8b3df91",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
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"Gender, G \n",
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"D \n",
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"Department, D \n",
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"G->D \n",
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"adjustment set \n",
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"random variable \n",
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"random variable \n",
" \n",
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" \n"
],
"text/plain": [
""
]
},
"execution_count": 15,
"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={\n",
" \"u\": {\"label\": \"Ability, u\", \"style\": \"dashed\"},\n",
" \"G\": {\n",
" \"label\": \"Gender, G\",\n",
" },\n",
" \"D\": {\"label\": \"Department, D\", \"style\": \"filled\"},\n",
" \"A\": {\"label\": \"Admission, A\"},\n",
" \"Sensitivity analysis\\nadjustment set\": {\"style\": \"filled\"},\n",
" \"Modeled as\\nrandom variable\": {\"style\": \"dashed\"},\n",
" },\n",
" edge_props={\n",
" (\"G\", \"A\"): {\"color\": \"red\"},\n",
" (\"G\", \"D\"): {\"color\": \"blue\"},\n",
" (\"u\", \"D\"): {\"color\": \"green\", \"label\": \"gamma\", \"fontcolor\": \"green\"},\n",
" (\"u\", \"A\"): {\"color\": \"green\", \"label\": \"beta\", \"fontcolor\": \"green\"},\n",
" },\n",
")"
]
},
{
"cell_type": "markdown",
"id": "43de49c0-260d-460c-b781-ef08b128d9ef",
"metadata": {},
"source": [
"Though we can't directly measure a potential confound, what we can do is _simulate_ the degree of the effect of a potential confound. Specifically, we can set up a simulation where we create a random variable associated with the potential confound, then weight the amount of contribution that confound has on generating the observed data.\n",
"\n",
"In this particular example, we can simulate the degree of effect of an ability random variable $U \\sim \\text{Normal}(0, 1)$, by adding a linearly weighted contribution of that variable to the log odds of Acceptance and selecting a department (this is because we u affect both D and A in our causal graph):\n",
"\n",
"#### Department submodel\n",
"$$\n",
"\\begin{align*}\n",
"D_i &\\sim \\text{Bernouilli}(q_i) \\\\\n",
"logit(q_i) &= \\delta[G_i] + \\gamma_{G[i]} u_i \\\\\n",
"\\delta[G_i] &\\sim \\text{Normal}(0, 1) \\\\\n",
"u_j &\\sim \\text{Normal}(0, 1)\n",
"\\end{align*}\n",
"$$\n",
"\n",
"#### Acceptance submodel\n",
"$$\n",
"\\begin{align*}\n",
"A_i &\\sim \\text{Bernouilli}(p_i) \\\\\n",
"logit(p_i) &= \\alpha[G_i, D_i] + \\beta_{G[i]} u_i \\\\\n",
"\\alpha[G_i, D_i] &\\sim \\text{Normal}(0, 1) \\\\\n",
"u_j &\\sim \\text{Normal}(0, 1)\n",
"\\end{align*}\n",
"$$\n",
"\n",
"Where we **manually set the value of $\\beta_{G[i]}$ and $\\gamma_{G[i]}$ by hand to perform the simulation**"
]
},
{
"cell_type": "markdown",
"id": "5bc4a350-674d-4b95-bc79-092918be9d7c",
"metadata": {},
"source": [
"### Fit the latent ability model"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "6f911d7f",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [u, delta, alpha]\n"
]
},
{
"data": {
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"model_id": "bc8eca0406cc4c72a71d46b77d476cb6",
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"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 10 seconds.\n"
]
},
{
"data": {
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"\n",
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"cluster2000 \n",
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"clusterdepartment (2) x gender (2) \n",
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"Bernoulli \n",
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" \n",
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"\n",
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"~ \n",
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"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Gender-specific counterfactual parameters\n",
"# Ability confound affects admission rates equally for genders\n",
"BETA = np.array([1.0, 1.0])\n",
"\n",
"# Ability confound affects department application differentially\n",
"# for genders (as is the case in generative data process)\n",
"GAMMA = np.array([1.0, 0.0])\n",
"\n",
"coords = {\"gender\": GENDER, \"department\": DEPARTMENT, \"obs\": np.arange(n_samples)}\n",
"\n",
"with pm.Model(coords=coords) as latent_ability_model:\n",
"\n",
" # Latent ability variable, one for each applicant\n",
" U = pm.Normal(\"u\", 0, 1, dims=\"obs\")\n",
"\n",
" # Department application submodel\n",
" delta = pm.Normal(\"delta\", 0, 1, dims=\"gender\")\n",
" q = pm.math.invlogit(delta[GENDER_ID] + GAMMA[GENDER_ID] * U)\n",
"\n",
" selected_department = pm.Bernoulli(\"d\", p=q, observed=D)\n",
"\n",
" # Acceptance submodel\n",
" alpha = pm.Normal(\"alpha\", 0, 1, dims=[\"department\", \"gender\"])\n",
" p = pm.math.invlogit(alpha[GENDER_ID, selected_department] + BETA[GENDER_ID] * U)\n",
" pm.Bernoulli(\"accepted\", p=p, observed=A)\n",
"\n",
" # Record p(A | D, G) for reporting\n",
" p_admit = pm.Deterministic(\"p_admit\", pm.math.invlogit(alpha), dims=[\"department\", \"gender\"])\n",
"\n",
" latent_ability_inference = pm.sample()\n",
"\n",
"pm.model_to_graphviz(latent_ability_model)"
]
},
{
"cell_type": "markdown",
"id": "7e1854a8-71fa-4546-8b39-b18d463b7e84",
"metadata": {},
"source": [
"### Summarize the latent ability estimate"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "162944fd",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" alpha[D1, G1] \n",
" -2.390 \n",
" 0.117 \n",
" -2.606 \n",
" -2.166 \n",
" 0.001 \n",
" 0.001 \n",
" 6488.0 \n",
" 2929.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[D1, G2] \n",
" -1.912 \n",
" 0.245 \n",
" -2.351 \n",
" -1.424 \n",
" 0.003 \n",
" 0.002 \n",
" 6028.0 \n",
" 3166.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[D2, G1] \n",
" -1.807 \n",
" 0.186 \n",
" -2.142 \n",
" -1.454 \n",
" 0.003 \n",
" 0.002 \n",
" 4981.0 \n",
" 3018.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[D2, G2] \n",
" -1.143 \n",
" 0.094 \n",
" -1.313 \n",
" -0.966 \n",
" 0.001 \n",
" 0.001 \n",
" 5004.0 \n",
" 2985.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D1, G1] \n",
" 0.084 \n",
" 0.009 \n",
" 0.069 \n",
" 0.103 \n",
" 0.000 \n",
" 0.000 \n",
" 6488.0 \n",
" 2929.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D1, G2] \n",
" 0.131 \n",
" 0.028 \n",
" 0.082 \n",
" 0.185 \n",
" 0.000 \n",
" 0.000 \n",
" 6028.0 \n",
" 3166.0 \n",
" 1.0 \n",
" \n",
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" p_admit[D2, G1] \n",
" 0.143 \n",
" 0.023 \n",
" 0.101 \n",
" 0.184 \n",
" 0.000 \n",
" 0.000 \n",
" 4981.0 \n",
" 3018.0 \n",
" 1.0 \n",
" \n",
" \n",
" p_admit[D2, G2] \n",
" 0.242 \n",
" 0.017 \n",
" 0.210 \n",
" 0.274 \n",
" 0.000 \n",
" 0.000 \n",
" 5004.0 \n",
" 2985.0 \n",
" 1.0 \n",
" \n",
" \n",
"
\n",
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"
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"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"alpha[D1, G1] -2.390 0.117 -2.606 -2.166 0.001 0.001 6488.0 \n",
"alpha[D1, G2] -1.912 0.245 -2.351 -1.424 0.003 0.002 6028.0 \n",
"alpha[D2, G1] -1.807 0.186 -2.142 -1.454 0.003 0.002 4981.0 \n",
"alpha[D2, G2] -1.143 0.094 -1.313 -0.966 0.001 0.001 5004.0 \n",
"p_admit[D1, G1] 0.084 0.009 0.069 0.103 0.000 0.000 6488.0 \n",
"p_admit[D1, G2] 0.131 0.028 0.082 0.185 0.000 0.000 6028.0 \n",
"p_admit[D2, G1] 0.143 0.023 0.101 0.184 0.000 0.000 4981.0 \n",
"p_admit[D2, G2] 0.242 0.017 0.210 0.274 0.000 0.000 5004.0 \n",
"\n",
" ess_tail r_hat \n",
"alpha[D1, G1] 2929.0 1.0 \n",
"alpha[D1, G2] 3166.0 1.0 \n",
"alpha[D2, G1] 3018.0 1.0 \n",
"alpha[D2, G2] 2985.0 1.0 \n",
"p_admit[D1, G1] 2929.0 1.0 \n",
"p_admit[D1, G2] 3166.0 1.0 \n",
"p_admit[D2, G1] 3018.0 1.0 \n",
"p_admit[D2, G2] 2985.0 1.0 "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summarize_posterior(latent_ability_inference)"
]
},
{
"cell_type": "markdown",
"id": "ab242d8b",
"metadata": {},
"source": [
"### Interpreting the Effect of modeling the confound"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "9e435690",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_department_gender_admissions(\n",
" direct_effect_admissions_inference, \"direct effect, confounded model\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "e56ddb3d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_department_gender_admissions(latent_ability_inference, \"direct effect, latent ability model\")"
]
},
{
"cell_type": "markdown",
"id": "9fab1e7f",
"metadata": {},
"source": [
"By adding sensitivity analysis that is aligned with the data-generating process, we are able to identify gender bias in department 2\n",
"\n",
"## Review of Sensitivity Analysis\n",
"- Confounds exist, event if we can't measure them directly -- don't simply pretend that they don't exist\n",
"- Address the question: **What are the implications of what we _don't know_?**\n",
"- SA is somewhere between simulation and analysis\n",
" - Hard-coding what we don't know, and let the rest play out.\n",
" - Vary the confound over a range (e.g. std deviations) and show how that change effects the estimate\n",
"- More honest than pretending that confounds do not exist.\n",
"\n",
"## Note on number of parameters 🤯\n",
"- Sensitivity Analysis model has 2006 free parameters\n",
"- Only 2000 observations\n",
"- No biggie in Bayesian Analysis\n",
" - The minimum sample size is 0, where we just fall back on the prior"
]
},
{
"cell_type": "markdown",
"id": "30a6229b",
"metadata": {},
"source": [
"# Counts and Poisson Regression"
]
},
{
"cell_type": "markdown",
"id": "12c29953",
"metadata": {},
"source": [
"## Kline & Boyd Oceanic Technology Dataset\n",
"\n",
"How is technological complexity in a society related to population size?\n",
"\n",
"**Estimand**: Influence of **population size** and **contact** on **total tools**"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "0f175e75",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" culture \n",
" population \n",
" contact \n",
" total_tools \n",
" mean_TU \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" Malekula \n",
" 1100 \n",
" low \n",
" 13 \n",
" 3.2 \n",
" \n",
" \n",
" 1 \n",
" Tikopia \n",
" 1500 \n",
" low \n",
" 22 \n",
" 4.7 \n",
" \n",
" \n",
" 2 \n",
" Santa Cruz \n",
" 3600 \n",
" low \n",
" 24 \n",
" 4.0 \n",
" \n",
" \n",
" 3 \n",
" Yap \n",
" 4791 \n",
" high \n",
" 43 \n",
" 5.0 \n",
" \n",
" \n",
" 4 \n",
" Lau Fiji \n",
" 7400 \n",
" high \n",
" 33 \n",
" 5.0 \n",
" \n",
" \n",
" 5 \n",
" Trobriand \n",
" 8000 \n",
" high \n",
" 19 \n",
" 4.0 \n",
" \n",
" \n",
" 6 \n",
" Chuuk \n",
" 9200 \n",
" high \n",
" 40 \n",
" 3.8 \n",
" \n",
" \n",
" 7 \n",
" Manus \n",
" 13000 \n",
" low \n",
" 28 \n",
" 6.6 \n",
" \n",
" \n",
" 8 \n",
" Tonga \n",
" 17500 \n",
" high \n",
" 55 \n",
" 5.4 \n",
" \n",
" \n",
" 9 \n",
" Hawaii \n",
" 275000 \n",
" low \n",
" 71 \n",
" 6.6 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" culture population contact total_tools mean_TU\n",
"0 Malekula 1100 low 13 3.2\n",
"1 Tikopia 1500 low 22 4.7\n",
"2 Santa Cruz 3600 low 24 4.0\n",
"3 Yap 4791 high 43 5.0\n",
"4 Lau Fiji 7400 high 33 5.0\n",
"5 Trobriand 8000 high 19 4.0\n",
"6 Chuuk 9200 high 40 3.8\n",
"7 Manus 13000 low 28 6.6\n",
"8 Tonga 17500 high 55 5.4\n",
"9 Hawaii 275000 low 71 6.6"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Load the data\n",
"KLINE = utils.load_data(\"Kline\")\n",
"KLINE"
]
},
{
"cell_type": "markdown",
"id": "c6b124da-4dcd-4781-9255-5f11effeb027",
"metadata": {},
"source": [
"## Conceptual Ideas\n",
"- The more innnovation the more tools\n",
"- The more people, the more innovation\n",
"- The more contact between cultures, the more innovation\n",
"- Innovations (tools) are also forgotten over time, or become obsolete"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "e8009946-61d9-43a8-834f-9e31ad4ab126",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"Population \n",
"\n",
"Population \n",
" \n",
"\n",
"\n",
"Innovation \n",
"\n",
"Innovation \n",
" \n",
"\n",
"\n",
"Population->Innovation \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Tools Developed \n",
"\n",
"Tools Developed \n",
" \n",
"\n",
"\n",
"Innovation->Tools Developed \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Tool Loss \n",
"\n",
"Tool Loss \n",
" \n",
"\n",
"\n",
"Tools Developed->Tool Loss \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Contact Level \n",
"\n",
"Contact Level \n",
" \n",
"\n",
"\n",
"Contact Level->Innovation \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Total Tools Observed \n",
"\n",
"Total Tools Observed \n",
" \n",
"\n",
"\n",
"Tool Loss->Total Tools Observed \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"Population\", \"Innovation\"),\n",
" (\"Innovation\", \"Tools Developed\"),\n",
" (\"Contact Level\", \"Innovation\"),\n",
" (\"Tools Developed\", \"Tool Loss\"),\n",
" (\"Tool Loss\", \"Total Tools Observed\"),\n",
" ],\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "7fe28eaa-35ab-42da-a7c2-c31c44ca3e8f",
"metadata": {},
"source": [
"### Scientific Model"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "fb56fe59-302c-4f6e-9e8a-190713312ab9",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"C \n",
"\n",
"C \n",
" \n",
"\n",
"\n",
"T \n",
"\n",
"T \n",
" \n",
"\n",
"\n",
"C->T \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"L \n",
"\n",
"L \n",
" \n",
"\n",
"\n",
"L->C \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"L->T \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P \n",
"\n",
"P \n",
" \n",
"\n",
"\n",
"L->P \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P->C \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P->T \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"unobserved \n",
"\n",
"unobserved \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"C\", \"T\"), (\"L\", \"T\"), (\"L\", \"P\"), (\"L\", \"C\"), (\"P\", \"C\"), (\"P\", \"T\")],\n",
" node_props={\"L\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "24255f0a-9d3e-4771-a2e7-8a3c8024bf87",
"metadata": {},
"source": [
"- Poplulation is treatment\n",
"- Tools is outcome\n",
"- Contact level moderates effect of Population (Pipe)\n",
"- Location is unobserved confound\n",
" - better materials\n",
" - proximity to other cultures\n",
" - can support larger populations\n",
" - _we'll ignore for now_\n",
" \n",
"\n",
"Adjustment set for **Direct effect of Population on Tools**\n",
" - Location, if it were observed\n",
" - Also stratify by contact to study interactions"
]
},
{
"cell_type": "markdown",
"id": "344112f6",
"metadata": {},
"source": [
"## Modeling total tools\n",
"- There's no upper limit on tools --> can't use Binomial\n",
"- **Poisson Distribution** approaches Binomial for large $N$ (approaching infinity) and low $p$ (approching 0)\n",
"\n",
"### Poisson GLM\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"Y_i &\\sim \\text{Poisson}(\\lambda_i) \\\\\n",
"\\log(\\lambda_i) &= \\alpha + \\beta x_i\n",
"\\end{align*}\n",
"$$\n",
"\n",
"- link function is $\\log(\\lambda)$\n",
"- inverse link function is $\\exp(\\alpha + \\beta x_i)$\n",
"- strictly positive $\\lambda$ (due to exponential)\n"
]
},
{
"cell_type": "markdown",
"id": "083d5a9a",
"metadata": {},
"source": [
"### Poisson Priors\n",
"\n",
"- **Be careful with Exponential scaling, it can give shocking results!** Usually long tails result\n",
"- Easier to shift the location (e.g. a the mean of a Normal prior), and keep tight variances\n",
"- Prior variances generally need to be quite tight, on the order of 0.1 - 0.5\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "4c461d4c",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(123)\n",
"num_tools = np.arange(1, 100)\n",
"_, axs = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"plt.sca(axs[0])\n",
"\n",
"normal_alpha_prior_params = [(0, 10), (3, 0.5)] # flat, centered prior # offset, tight prior\n",
"\n",
"for prior_mu, prior_sigma in normal_alpha_prior_params:\n",
" # since log(lambda) = alpha, if\n",
" # alpha is Normally distributed, therefore lambda is log-normal\n",
" lambda_prior_dist = stats.lognorm(s=prior_sigma, scale=np.exp(prior_mu))\n",
" label = f\"$\\\\alpha \\sim \\mathcal{{N}}{prior_mu, prior_sigma}$\"\n",
" pdf = lambda_prior_dist.pdf(num_tools)\n",
" plt.plot(num_tools, pdf, label=label, linewidth=3)\n",
"\n",
"plt.xlabel(\"expected # of tools\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend()\n",
"plt.title(\"Prior over $\\\\lambda$\")\n",
"\n",
"plt.sca(axs[1])\n",
"\n",
"n_prior_samples = 30\n",
"for ii, (prior_mu, prior_sigma) in enumerate(normal_alpha_prior_params):\n",
"\n",
" # Sample lambdas from the prior\n",
" prior_dist = stats.norm(prior_mu, prior_sigma)\n",
" alphas = prior_dist.rvs(n_prior_samples)\n",
" lambdas = np.exp(alphas)\n",
" mean_lambda = lambdas.mean()\n",
"\n",
" for sample_idx, lambda_ in enumerate(lambdas):\n",
" pmf = stats.poisson(lambda_).pmf(num_tools)\n",
"\n",
" label = f\"$\\\\alpha \\sim \\mathcal{{N}}{prior_mu, prior_sigma}$\" if sample_idx == 1 else None\n",
" color = f\"C{ii}\"\n",
" plt.plot(num_tools, pmf, color=color, label=label, alpha=0.1)\n",
"\n",
" mean_lambda_ = np.exp(alphas).mean()\n",
" pmf = stats.poisson(mean_lambda_).pmf(num_tools)\n",
" plt.plot(\n",
" num_tools,\n",
" pmf,\n",
" color=color,\n",
" label=f\"Mean $\\\\lambda$: {mean_lambda:1,.0f}\",\n",
" alpha=1,\n",
" linewidth=4,\n",
" )\n",
"\n",
"plt.xlabel(\"# of tools\")\n",
"plt.ylabel(\"density\")\n",
"plt.ylim([0, 0.1])\n",
"plt.legend()\n",
"plt.title(\"Resulting Poisson Samples\");"
]
},
{
"cell_type": "markdown",
"id": "27566dee-e3ef-46b5-87e6-50fcb04aab04",
"metadata": {},
"source": [
"### Adding a Slope to the mix $\\log(\\lambda_i) = \\alpha + \\beta x_i$"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "8616e6a4-0769-46ea-98ec-7aca6d4260d2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(123)\n",
"normal_alpha_prior_params = [(0, 1), (3, 0.5)] # flat, centered prior # offset, tight prior\n",
"\n",
"normal_beta_prior_params = [(0, 10), (0, 0.2)] # flat, centered prior # tight, centered\n",
"\n",
"n_prior_samples = 10\n",
"_, axs = plt.subplots(1, 2, figsize=(10, 4))\n",
"xs = np.linspace(-2, 2, 100)[:, None]\n",
"for ii, (a_params, b_params) in enumerate(zip(normal_alpha_prior_params, normal_beta_prior_params)):\n",
" plt.sca(axs[ii])\n",
" alpha_prior_samples = stats.norm(*a_params).rvs(n_prior_samples)\n",
" beta_prior_samples = stats.norm(*b_params).rvs(n_prior_samples)\n",
" lambda_samples = np.exp(alpha_prior_samples + xs * beta_prior_samples)\n",
"\n",
" utils.plot_line(xs, lambda_samples, label=None, color=\"C0\")\n",
" plt.ylim([0, 100])\n",
" plt.title(f\"$\\\\alpha \\\\sim Normal{a_params}$\\n$\\\\beta \\\\sim Normal{b_params}$\")\n",
" plt.xlabel(\"x value\")\n",
" plt.ylabel(\"expected count\")"
]
},
{
"cell_type": "markdown",
"id": "2af7c90a-3f8e-4971-8e26-0c6d3ed7fa3d",
"metadata": {},
"source": [
"Expected Count functions drawn from two different types of priors\n",
"- Left: wide priors\n",
"- Right: tight priors"
]
},
{
"cell_type": "markdown",
"id": "0529ad4e",
"metadata": {},
"source": [
"## Direct Effect Estimator\n",
"\n",
"- Estimatinge Direct effect of population P on number of tools T includes contact level, C in the adjustment set and location, L (currently unobserved; we will ignore for now)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "c0320932",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"L \n",
"\n",
"location, L \n",
" \n",
"\n",
"\n",
"C \n",
"\n",
"contact, C \n",
" \n",
"\n",
"\n",
"L->C \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P \n",
"\n",
"population, P \n",
" \n",
"\n",
"\n",
"L->P \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"T \n",
"\n",
"number of tools, T \n",
" \n",
"\n",
"\n",
"L->T \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"C->T \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P->C \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"P->T \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"unobserved \n",
"\n",
"unobserved \n",
" \n",
"\n",
"\n",
"Direct Effect\n",
"adjustment set \n",
"\n",
"Direct Effect \n",
"adjustment set \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[(\"L\", \"C\"), (\"P\", \"C\"), (\"C\", \"T\"), (\"L\", \"T\"), (\"L\", \"P\"), (\"P\", \"T\")],\n",
" node_props={\n",
" \"L\": {\"label\": \"location, L\", \"style\": \"dashed,filled\"},\n",
" \"C\": {\"label\": \"contact, C\", \"style\": \"filled\"},\n",
" \"P\": {\"label\": \"population, P\"},\n",
" \"T\": {\"label\": \"number of tools, T\"},\n",
" \"unobserved\": {\"style\": \"dashed\"},\n",
" \"Direct Effect\\nadjustment set\": {\"style\": \"filled\"},\n",
" },\n",
" edge_props={(\"P\", \"T\"): {\"color\": \"red\"}},\n",
")"
]
},
{
"cell_type": "markdown",
"id": "6c13d138",
"metadata": {},
"source": [
"## Comparing Models\n",
"\n",
"We'll estimate a couple of models in order to practice model comparison\n",
"- Model A) A simple, global intercept Poisson GLM\n",
"- Model B) A Poisson GLM that includes intercept and parameter for the standardized log-population, both of which are stratified by contact level\n",
"\n",
"### Model A - Global Intercept model\n",
"Here we model tools count as a Poisson random variable. The poisson rate parameter is the exponent of a linear model. In this linear model, we include only an offset for low- or high- contact populations.\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"T_i &\\sim \\text{Poisson}(\\lambda_i) \\\\\n",
"\\lambda_i &= \\alpha_{C[i]} \\\\\n",
"\\alpha &\\sim \\text{Normal}(3, 0.5) \\\\\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "15bdeb12",
"metadata": {},
"outputs": [],
"source": [
"# Set up data and coords\n",
"TOOLS = KLINE.total_tools.values.astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "18914da0",
"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": "cf2e78b1edb3484b92e58e37218d9f56",
"version_major": 2,
"version_minor": 0
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"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"
]
},
{
"data": {
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"Output()"
]
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"metadata": {},
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},
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"data": {
"text/html": [
" \n"
],
"text/plain": []
},
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"output_type": "display_data"
},
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"cluster10 \n",
" \n",
"10 \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"tools \n",
"\n",
"tools \n",
"~ \n",
"Poisson \n",
" \n",
"\n",
"\n",
"alpha->tools \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with pm.Model() as global_intercept_model:\n",
"\n",
" # Prior on global intercept\n",
" alpha = pm.Normal(\"alpha\", 3.0, 0.5)\n",
"\n",
" # Likelihood\n",
" lam = pm.math.exp(alpha)\n",
" pm.Poisson(\"tools\", lam, observed=TOOLS)\n",
"\n",
" global_intercept_inference = pm.sample()\n",
" global_intercept_inference = pm.compute_log_likelihood(global_intercept_inference)\n",
"\n",
"pm.model_to_graphviz(global_intercept_model)"
]
},
{
"cell_type": "markdown",
"id": "9613011a",
"metadata": {},
"source": [
"### Model B - Interaction model\n",
"\n",
"Here we bracket both the intercept and the population regression coefficient by contact level\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"T_i &\\sim \\text{Poisson}(\\lambda_i) \\\\\n",
"\\lambda_i &= \\alpha_{C[i]} + \\beta_{C[i]} \\log(P) \\\\\n",
"\\alpha &\\sim \\text{Normal}(3, 0.5) \\\\\n",
"\\beta &\\sim \\text{Normal}(0, 0.2) \\\\\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "00e0050d",
"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, beta]\n"
]
},
{
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"Output()"
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"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"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
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"Output()"
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"text/html": [
" \n"
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{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"clusterobs_id (10) \n",
" \n",
"obs_id (10) \n",
" \n",
"\n",
"clustercontact (2) \n",
" \n",
"contact (2) \n",
" \n",
"\n",
"\n",
"tools \n",
"\n",
"tools \n",
"~ \n",
"Poisson \n",
" \n",
"\n",
"\n",
"contact_level \n",
" \n",
"contact_level \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"contact_level->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"population \n",
" \n",
"population \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"population->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"alpha->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"beta \n",
"\n",
"beta \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"beta->tools \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# contact-level\n",
"CONTACT_LEVEL, CONTACT = pd.factorize(KLINE.contact)\n",
"\n",
"# Standardized log population\n",
"POPULATION = KLINE.population.values.astype(float)\n",
"STD_LOG_POPULATION = utils.standardize(np.log(POPULATION))\n",
"N_CULTURES = len(KLINE)\n",
"OBS_ID = np.arange(N_CULTURES).astype(int)\n",
"\n",
"with pm.Model(coords={\"contact\": CONTACT}) as interaction_model:\n",
"\n",
" # Set up mutable data for predictions\n",
" std_log_population = pm.Data(\"population\", STD_LOG_POPULATION, dims=\"obs_id\")\n",
" contact_level = pm.Data(\"contact_level\", CONTACT_LEVEL, dims=\"obs_id\")\n",
"\n",
" # Priors\n",
" alpha = pm.Normal(\"alpha\", 3, 0.5, dims=\"contact\") # intercept\n",
" beta = pm.Normal(\"beta\", 0, 0.2, dims=\"contact\") # linear interaction with std(log(Population))\n",
"\n",
" # Likelihood\n",
" lamb = pm.math.exp(alpha[contact_level] + beta[contact_level] * std_log_population)\n",
" pm.Poisson(\"tools\", lamb, observed=TOOLS, dims=\"obs_id\")\n",
"\n",
" interaction_inference = pm.sample()\n",
"\n",
" # NOTE: For compute_log_likelihood to work for models that contain variables\n",
" # with dims but no coords (e.g. dims=\"obs_ids\"), we need the\n",
" # following PR to be merged https://github.com/pymc-devs/pymc/pull/6882\n",
" # (I've implemented the fix locally in pymc/stats/log_likelihood.py to\n",
" # get analysis to execute)\n",
" #\n",
" # TODO: Once merged, update pymc version in conda environment\n",
" interaction_inference = pm.compute_log_likelihood(interaction_inference)\n",
"\n",
"pm.model_to_graphviz(interaction_model)"
]
},
{
"cell_type": "markdown",
"id": "eb6b7276",
"metadata": {},
"source": [
"### Model Comparisons"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "a6173564",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" rank \n",
" elpd_loo \n",
" p_loo \n",
" elpd_diff \n",
" weight \n",
" se \n",
" dse \n",
" warning \n",
" scale \n",
" \n",
" \n",
" \n",
" \n",
" interaction \n",
" 0 \n",
" -42.799083 \n",
" 7.239629 \n",
" 0.000000 \n",
" 0.939635 \n",
" 6.275191 \n",
" 0.000000 \n",
" True \n",
" log \n",
" \n",
" \n",
" global intercept \n",
" 1 \n",
" -71.152042 \n",
" 8.674912 \n",
" 28.352959 \n",
" 0.060365 \n",
" 16.274744 \n",
" 16.054568 \n",
" True \n",
" log \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" rank elpd_loo p_loo elpd_diff weight se \\\n",
"interaction 0 -42.799083 7.239629 0.000000 0.939635 6.275191 \n",
"global intercept 1 -71.152042 8.674912 28.352959 0.060365 16.274744 \n",
"\n",
" dse warning scale \n",
"interaction 0.000000 True log \n",
"global intercept 16.054568 True log "
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Compare the intercept-only and interation models\n",
"compare_dict = {\n",
" \"global intercept\": global_intercept_inference,\n",
" \"interaction\": interaction_inference,\n",
"}\n",
"az.compare(compare_dict)"
]
},
{
"cell_type": "markdown",
"id": "3a980a1f",
"metadata": {},
"source": [
"> pPSIS discussed in the lecture is analogous to `p_loo` in the output above"
]
},
{
"cell_type": "markdown",
"id": "50db9a38",
"metadata": {},
"source": [
"### Posterior Predictions"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "1ee8b6a4",
"metadata": {},
"outputs": [],
"source": [
"def plot_tools_model_posterior_predictive(\n",
" model, inference, title, input_natural_scale=False, plot_natural_scale=True, resolution=100\n",
"):\n",
"\n",
" # Set up population grid based on model input scale\n",
" if input_natural_scale:\n",
" ppd_population_grid = np.linspace(0, np.max(POPULATION) * 1.05, resolution)\n",
"\n",
" # input is standardized log scale\n",
" else:\n",
" ppd_population_grid = np.linspace(\n",
" STD_LOG_POPULATION.min() * 1.05, STD_LOG_POPULATION.max() * 1.05, resolution\n",
" )\n",
"\n",
" # Set up contact-level counterfactuals\n",
" with model:\n",
" # Predictions for low contact\n",
" pm.set_data(\n",
" {\"contact_level\": np.array([0] * resolution), \"population\": ppd_population_grid}\n",
" )\n",
"\n",
" low_contact_ppd = pm.sample_posterior_predictive(\n",
" inference, var_names=[\"tools\"], predictions=True\n",
" )[\"predictions\"][\"tools\"]\n",
"\n",
" # Predictions for high contact\n",
" pm.set_data(\n",
" {\"contact_level\": np.array([1] * resolution), \"population\": ppd_population_grid}\n",
" )\n",
"\n",
" hi_contact_ppd = pm.sample_posterior_predictive(\n",
" inference, var_names=[\"tools\"], predictions=True\n",
" )[\"predictions\"][\"tools\"]\n",
"\n",
" low_contact_ppd_mean = low_contact_ppd.mean([\"chain\", \"draw\"])\n",
" hi_contact_ppd_mean = hi_contact_ppd.mean([\"chain\", \"draw\"])\n",
"\n",
" colors = [\"C0\" if c else \"C1\" for c in CONTACT_LEVEL]\n",
"\n",
" # Set up visualization scale\n",
" if plot_natural_scale:\n",
" if input_natural_scale:\n",
" population_grid = ppd_population_grid\n",
" else:\n",
" population_grid = np.exp(\n",
" ppd_population_grid * np.log(POPULATION).std() + np.log(POPULATION).mean()\n",
" )\n",
"\n",
" scatter_population = POPULATION\n",
" xlabel = \"population\"\n",
" # visualize in log scale\n",
" else:\n",
" if input_natural_scale:\n",
" population_grid = np.log(ppd_population_grid)\n",
" else:\n",
" population_grid = ppd_population_grid\n",
"\n",
" scatter_population = STD_LOG_POPULATION\n",
" xlabel = \"population (standardized log)\"\n",
"\n",
" marker_size = 50 + 400 * POPULATION / POPULATION.max()\n",
" utils.plot_scatter(\n",
" xs=scatter_population, ys=TOOLS, color=colors, s=marker_size, facecolors=None, alpha=1\n",
" )\n",
"\n",
" # low-contact posterior predictive\n",
" az.plot_hdi(\n",
" x=population_grid,\n",
" y=low_contact_ppd,\n",
" color=\"C1\",\n",
" hdi_prob=0.89,\n",
" fill_kwargs={\"alpha\": 0.2},\n",
" )\n",
" plt.plot(population_grid, low_contact_ppd_mean, color=\"C1\", label=\"low contact\")\n",
"\n",
" # high-contact posterior predictive\n",
" az.plot_hdi(\n",
" x=population_grid,\n",
" y=hi_contact_ppd,\n",
" color=\"C0\",\n",
" hdi_prob=0.89,\n",
" fill_kwargs={\"alpha\": 0.2},\n",
" )\n",
" plt.plot(population_grid, hi_contact_ppd_mean, color=\"C0\", label=\"hi contact\")\n",
" plt.legend()\n",
"\n",
" plt.xlabel(xlabel)\n",
" plt.ylabel(\"total tools\")\n",
" plt.title(title);"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "dbc3d37b-c3bb-4436-94ce-6a50871ae825",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [tools]\n"
]
},
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_tools_model_posterior_predictive(\n",
" interaction_model,\n",
" interaction_inference,\n",
" title=\"Interaction Model\\nLog Population Scale\",\n",
" plot_natural_scale=False,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "3f8092c7",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [tools]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "9e1ab6d10bce499183b048bdb2e4adfe",
"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: [tools]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d979bcc0e56843e9a2e207955d6a82d7",
"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"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_tools_model_posterior_predictive(\n",
" interaction_model,\n",
" interaction_inference,\n",
" title=\"Interaction Model\\nNatural Population Scale\",\n",
" plot_natural_scale=True,\n",
")"
]
},
{
"cell_type": "markdown",
"id": "99637611",
"metadata": {},
"source": [
"### The model above is \"wack\" for the following reasons:\n",
"\n",
"1. The low-contact mean intersects with the high-contact mean (around population of 150k). This makes little since logically\n",
"2. The intercept for population = 0 should be very near 0. It's instead around 20 and 30 for both groups.\n",
"3. Tonga isn't even included in the 89% HDI for the hi contact group\n",
"4. Error for hi-contact group is absurdly large for a majority of the population range\n",
"\n",
"Can we do better?\n",
"\n",
"## Improving the estimator with a better scientific model\n",
"\n",
"There are two immediate to improve the model, including:\n",
"\n",
"1. Robust regression model -- in this case a gamma-Poisson (neg-binomial) model\n",
"2. **Use a more prinicipled scientific model**\n",
"\n",
"## Scientific model that includes innovation and technology loss\n",
"Recall from earlier this DAG that highlights the general conceptual idea of how observeed tools can arise:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "c7128564-eacf-4131-8ce8-2f4a133f51d4",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"Population \n",
"\n",
"Population \n",
" \n",
"\n",
"\n",
"Innovation \n",
"\n",
"Innovation \n",
" \n",
"\n",
"\n",
"Population->Innovation \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Tools Developed \n",
"\n",
"Tools Developed \n",
" \n",
"\n",
"\n",
"Innovation->Tools Developed \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Tool Loss \n",
"\n",
"Tool Loss \n",
" \n",
"\n",
"\n",
"Tools Developed->Tool Loss \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Contact Level \n",
"\n",
"Contact Level \n",
" \n",
"\n",
"\n",
"Contact Level->Innovation \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"Total Tools Observed \n",
"\n",
"Total Tools Observed \n",
" \n",
"\n",
"\n",
"Tool Loss->Total Tools Observed \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(\n",
" edge_list=[\n",
" (\"Population\", \"Innovation\"),\n",
" (\"Innovation\", \"Tools Developed\"),\n",
" (\"Contact Level\", \"Innovation\"),\n",
" (\"Tools Developed\", \"Tool Loss\"),\n",
" (\"Tool Loss\", \"Total Tools Observed\"),\n",
" ],\n",
" graph_direction=\"LR\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "4e0522c4-bc96-4540-bd21-e19f3b31f085",
"metadata": {},
"source": [
"**Why not develope a sicentific model that does just that?**\n",
"\n",
"### Using the difference equation: $\\Delta T = \\alpha P^\\beta - \\gamma T$\n",
"\n",
"- $\\Delta T$ is the change in # of tools given the current number of tools. Here T can be thought of as # of tools at current generation\n",
"- $\\alpha$ is the innovation rate for a population of size $P$\n",
"- $\\beta$ is the elasticity, and can be thought of as a saturation rate, or \"diminishing returns\" factor; if we constrain $0 > \\beta < 1$ \n",
"- $\\gamma$ is the attritions / technology loss rate at time T\n",
"\n",
"Furthermore we can parameterize such an equation by the class of contact rate, $C$ as $\\Delta T = \\alpha_C P^{\\beta_C} - \\gamma T$\n",
"\n",
"Now we leverage the notioin of **equilibrium** identify the steady state # of tools that are eventually obtained. At this point $\\Delta T = 0$, and we can solve for the resulting $\\hat T$ using algebra: \n",
"\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"\\Delta T &= \\alpha P^\\beta - \\gamma \\hat T = 0 \\\\\n",
"\\gamma \\hat T &= \\alpha P^\\beta\\\\\n",
"\\hat T &= \\frac{\\alpha_C P^{\\beta_C}}{\\gamma}\n",
"\\end{align*}\n",
"$$\n"
]
},
{
"cell_type": "markdown",
"id": "7c6c701f-efe7-439a-91b3-cfb6e9c27684",
"metadata": {},
"source": [
"### Simulate the difference equation for various societies"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "67fdca18",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def simulate_tools(alpha=0.25, beta=0.25, P=1e3, gamma=0.25, n_generations=30, color=\"C0\"):\n",
" \"\"\"Simulate the Tools data as additive difference process equilibrium condition\"\"\"\n",
"\n",
" def difference_equation(t):\n",
" return alpha * P**beta - gamma * t\n",
"\n",
" # Run the simulation\n",
" tools = [0]\n",
" generations = range(n_generations)\n",
" for g in generations:\n",
" t = tools[-1]\n",
" tools.append(t + difference_equation(t))\n",
"\n",
" t_equilibrium = (alpha * P**beta) / gamma\n",
"\n",
" # Plot it\n",
" plt.plot(generations, tools[:-1], color=color)\n",
" plt.axhline(t_equilibrium, color=color, linestyle=\"--\", label=f\"equilibrium, P={int(P):,}\")\n",
" plt.legend()\n",
"\n",
"\n",
"simulate_tools(P=1e3, color=\"C0\")\n",
"simulate_tools(P=1e4, color=\"C1\")\n",
"simulate_tools(P=300_000, color=\"C2\")\n",
"plt.xlabel(\"Generation\")\n",
"plt.ylabel(\"# Tools\");"
]
},
{
"cell_type": "markdown",
"id": "490d1225",
"metadata": {},
"source": [
"### Innovation / Loss Statistical Model\n",
"- Use $\\hat T = \\lambda$ as the expected number of tools, i.e. $T \\sim \\text{Poisson}(\\hat T)$\n",
"- **Note**: we must constrain $\\lambda$ to be positive, which we can do in a couple of ways:\n",
" 1. Exponentiate variables\n",
" 2. Use appropriate priors that constrain the variables to be positive (we'll use this approach)\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"T &\\sim \\text{Poisson}(\\hat T_i) \\\\\n",
"\\hat T_i &= \\frac{\\alpha_{C[i]} P^{\\beta_{C[i]}}}{\\gamma} \\\\\n",
"\\alpha_j, \\beta_j, \\gamma &\\sim \\text{Exponential}(\\eta)\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "60da5fb3",
"metadata": {},
"source": [
"### Determine good prior hyperparams\n",
"We'll use an Exponential distribution as a prior on the difference equation parameters $\\alpha, \\beta, \\gamma$. We thus need to identify a good rate hypoerparmeter $\\eta$ for those priors.\n",
"\n",
"Reasonable values for all parameters were were approximately 0.25 in the simulation above. We would thus like to identify the the Exponential rate parameter that covers 0.25 = 1/4."
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "9e51623c",
"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, beta, gamma]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "881f221b80d94ed88c8965e3922bb55d",
"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 2_000 tune and 1_000 draw iterations (8_000 + 4_000 draws total) took 12 seconds.\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "82b453bbe34d42c08c6e7aa6aa378bc4",
"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"
},
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"clusterobs_id (10) \n",
" \n",
"obs_id (10) \n",
" \n",
"\n",
"clustercontact (2) \n",
" \n",
"contact (2) \n",
" \n",
"\n",
"\n",
"tools \n",
"\n",
"tools \n",
"~ \n",
"Poisson \n",
" \n",
"\n",
"\n",
"contact_level \n",
" \n",
"contact_level \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"contact_level->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"population \n",
" \n",
"population \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"population->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Exponential \n",
" \n",
"\n",
"\n",
"alpha->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"beta \n",
"\n",
"beta \n",
"~ \n",
"Exponential \n",
" \n",
"\n",
"\n",
"beta->tools \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"gamma \n",
"\n",
"gamma \n",
"~ \n",
"Exponential \n",
" \n",
"\n",
"\n",
"gamma->tools \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ETA = 4\n",
"with pm.Model(coords={\"contact\": CONTACT}) as innovation_loss_model:\n",
"\n",
" # Note: raw population here, not log/standardized\n",
" population = pm.Data(\"population\", POPULATION, dims=\"obs_id\")\n",
" contact_level = pm.Data(\"contact_level\", CONTACT_LEVEL, dims=\"obs_id\")\n",
"\n",
" # Priors -- we use Exponential for all.\n",
" # Note that in the lecture: McElreath uses a Normal for alpha\n",
" # then applies a exp(alpha) to enforce positive contact-level\n",
" # innovation rate\n",
" alpha = pm.Exponential(\"alpha\", ETA, dims=\"contact\")\n",
"\n",
" # contact-level elasticity\n",
" beta = pm.Exponential(\"beta\", ETA, dims=\"contact\")\n",
"\n",
" # global technology loss rate\n",
" gamma = pm.Exponential(\"gamma\", ETA)\n",
"\n",
" # Likelihood using difference equation equilibrium as mean Poisson rate\n",
" T_hat = (alpha[contact_level] * (population ** beta[contact_level])) / gamma\n",
" pm.Poisson(\"tools\", T_hat, observed=TOOLS, dims=\"obs_id\")\n",
"\n",
" innovation_loss_inference = pm.sample(tune=2000, target_accept=0.98)\n",
" # NOTE: For compute_log_likelihood to work for models that contain variables\n",
" # with dims but no coords (e.g. dims=\"obs_ids\"), we need the\n",
" # following PR to be merged https://github.com/pymc-devs/pymc/pull/6882\n",
" # (I've implemented the fix locally in pymc/stats/log_likelihood.py to\n",
" # get analysis to execute)\n",
" #\n",
" # TODO: Once merged, update pymc version in conda environment\n",
" innovation_loss_inference = pm.compute_log_likelihood(innovation_loss_inference)\n",
"\n",
"\n",
"pm.model_to_graphviz(innovation_loss_model)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "3069c329",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" alpha[low] \n",
" 0.301 \n",
" 0.211 \n",
" 0.033 \n",
" 0.692 \n",
" 0.005 \n",
" 0.004 \n",
" 1249.0 \n",
" 1304.0 \n",
" 1.0 \n",
" \n",
" \n",
" alpha[high] \n",
" 0.314 \n",
" 0.246 \n",
" 0.011 \n",
" 0.752 \n",
" 0.006 \n",
" 0.004 \n",
" 1736.0 \n",
" 1762.0 \n",
" 1.0 \n",
" \n",
" \n",
" beta[low] \n",
" 0.261 \n",
" 0.034 \n",
" 0.197 \n",
" 0.325 \n",
" 0.001 \n",
" 0.001 \n",
" 1960.0 \n",
" 1710.0 \n",
" 1.0 \n",
" \n",
" \n",
" beta[high] \n",
" 0.296 \n",
" 0.105 \n",
" 0.100 \n",
" 0.493 \n",
" 0.003 \n",
" 0.002 \n",
" 1254.0 \n",
" 1039.0 \n",
" 1.0 \n",
" \n",
" \n",
" gamma \n",
" 0.115 \n",
" 0.085 \n",
" 0.007 \n",
" 0.270 \n",
" 0.002 \n",
" 0.002 \n",
" 1222.0 \n",
" 1278.0 \n",
" 1.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"alpha[low] 0.301 0.211 0.033 0.692 0.005 0.004 1249.0 \n",
"alpha[high] 0.314 0.246 0.011 0.752 0.006 0.004 1736.0 \n",
"beta[low] 0.261 0.034 0.197 0.325 0.001 0.001 1960.0 \n",
"beta[high] 0.296 0.105 0.100 0.493 0.003 0.002 1254.0 \n",
"gamma 0.115 0.085 0.007 0.270 0.002 0.002 1222.0 \n",
"\n",
" ess_tail r_hat \n",
"alpha[low] 1304.0 1.0 \n",
"alpha[high] 1762.0 1.0 \n",
"beta[low] 1710.0 1.0 \n",
"beta[high] 1039.0 1.0 \n",
"gamma 1278.0 1.0 "
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.summary(innovation_loss_inference)"
]
},
{
"cell_type": "markdown",
"id": "642e1e6e",
"metadata": {},
"source": [
"We can see that for the $\\alpha$ and $\\beta$ parameters, the optimal value was around 0.23-0.28. For gamma, it was a bit smaller, at around 0.09. We could potentially re-parameterize our model to have a tigher prior for the Gamma variable, but meh."
]
},
{
"cell_type": "markdown",
"id": "a4435a0e",
"metadata": {},
"source": [
"### Posterior predictions"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "21a18c9f-ec02-4f67-84c5-96aa5632c33d",
"metadata": {},
"outputs": [],
"source": [
"#### Replot the contact model for comparison"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "ce4b35cf-2a3c-4d0a-900f-48c3772aec9e",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [tools]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "8e30ad2bd9bd4c2ba4c9edbe7dd1cd94",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
" \n"
],
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},
"metadata": {},
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},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [tools]\n"
]
},
{
"data": {
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"model_id": "a9e0d828bb594afaba736bfdd1cd9133",
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},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
" \n"
],
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},
"metadata": {},
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eeIIxY8aQlpZGbW0tW7ZsQSnFCSec0C2PXwjRtSRsCyFEgq7r3H///fzpT3/ik08+4YsvvmhxRvn666/nyCOP5IknnuDTTz9l7dq1ZGRkMGjQII466iiOPfZYDjzwwN3e/5133sm4ceN47rnn2Lp1K7m5uRx77LHMmzevxbKNpEmTJvHCCy/w8MMP88Ybb7BlyxZ0XWfw4MGcdNJJzcLvaaedhs/nY+nSpZSVlaVaGu48w9qSUaNG8eyzz/LAAw/wxhtvsH79etxuN7NmzeLss8/mlFNO6bFZ7T2x33778dxzz3H//ffz7rvv8vXXX5Oens4hhxzChRde2CxoJ/3mN79h77335oknnmDjxo2EQiHmzJnDtdde2+a7GzNmzOCll17i0Ucf5c0330y1Ehw0aBCHHnooRx55ZKt9uoUQfYumdrf3lRBCCCGEEKJdpGZbCCGEEEKILiJhWwghhBBCiC4iYVsIIYQQQoguImFbCCGEEEKILiJhWwghhBBCiC4iYVsIIYQQQoguImFbCCGEEEKILiJhWwghhBBCiC4iYVsIITrJli1bmDhxInPmzOnpofQKCxYsYOLEiSxYsKDb9jlnzhwmTpzIli1bum2f/Y0cQyE6lyzXLoRo05w5cygvLwfg3nvv5eijj25xu4svvpgPPviA2267jTPOOGOP97ts2TLKy8s5/fTTGT58+B7fX292wQUXsGLFiiaXuVwuCgoKmDZtGhdddBHTpk3rodH1HsuXL2fNmjUcffTRTJ48uaeHs0e2bt3Ko48+ynvvvceWLVuwLIv8/HwGDx7MtGnTOOiggzj00EN7ephCiE4gYVsI0W4LFizgqKOOQtO0Lt/Xs88+y4oVK9h///37fdhOGjJkCEOGDAEgFApRWlrKf/7zH1555RV++ctfcu655/bwCHvW8uXLefbZZxk2bFirYXvEiBG43W5cLlc3j679PvjgA6688kqCwSAOh4PBgwdTUFBAQ0MDn3/+OStXrmTZsmV89NFHPT1UIUQnkLAthGgXh8PB2rVreeWVVzjuuON6ejj90plnnslVV12V+j4QCPCrX/2KF198kVtvvZXDDjuMYcOG9eAIe79HH320p4fQpkAgwLXXXkswGOSII47gl7/8ZZOfqc/n4/XXX+c///lPD45SCNGZpGZbCNEuJ554ImCXkiileng0A0NmZia33norRUVFxONxXnvttZ4ekthDb731FnV1dWRmZvKXv/yl2Yun7OxsTj/9dBYvXtxDIxRCdDYJ20KIdjnzzDMZNmwY69at261Zt0gkwosvvsi1117Lsccey7Rp05g2bRqnnnoqixYtIhQKNdn+o48+YuLEiaka5gsvvJCJEyemPpYtW9ZkuwsuuKDF/bZ2suLOl//jH//gzDPPZNq0aUycODG13ebNm1m8eDEXXHABhx9+OFOmTOGAAw7gkksu4c0332z3499TXq+XKVOmAFBaWtrkus8++4x58+Zx0EEHMWXKFA477DB++tOf8u2337Z4XxdccAETJ07ko48+4osvvuDSSy9l//33Z+rUqXzve99j+fLlu7xdS2688cYmP5tdMU2T5cuXc9NNN3HiiScyY8YM9ttvP44//nj++Mc/Ultb22T75M/s2WefBeCmm25q8pxofAJmWyf3xeNxHn/8cc466yymT5/O1KlTOeWUU/jrX/9KOBxutv3Oz5XnnnuOM844g/3224/999+f+fPns3nz5nY95qTk9qNHjyYtLW23bguglOI///kPP/rRjzjwwAOZMmUKRxxxBHPnzm12/H0+H0uWLOHHP/4x3/nOd9h3332ZMWMGZ599No899hiGYez2/gHeeecdLr/88ibPu5tuuolNmzZ16P6E6O8kbAsh2sXpdPLjH/8YgIULF2JZVrtut2rVKq6//npeffVVIpEIY8eOpbi4mG+++Ya7776b888/n0gkkto+KyuL6dOnk5mZCUBJSQnTp09PfRQUFHTaY/rVr37FLbfcQk1NDWPHjiU7Ozt13X333cddd93FqlWr8Hq9TJw4EafTybvvvstll13WrTOPLb2T8OSTT3LeeeelZrsnTpxIOBzmueee4/TTT2/zBcEnn3zCeeedx8cff8yIESPIzMxk5cqVXHnllTz88MNd9TBSqqqquPLKK/nXv/5FQ0MDo0aNYujQoZSXl/PQQw9x1llnUV1dndre4/E0+dmPHj26yXMiWefelkgkwty5c/nd737Hl19+yeDBgxk5ciTr16/nL3/5C+eeey51dXWt3v6uu+7ipz/9KfX19YwePZpwOMwrr7zCueee2+zFQVuSz+uysjJ8Pl+7bwcQi8W46qqruOaaa3j77bdxOBxMmjQJy7J49913uemmm5ps/9///pebb76Zd955B9M0KSkpIS8vj1WrVnHrrbdy5ZVXtvv3OOnWW29l7ty5/Pe//wVgwoQJBINBli1bxumnn85nn322W/cnxICghBCiDUceeaQqKSlRH3/8sYrH4+qoo45SJSUl6vnnn2+y3UUXXaRKSkrUP//5zyaXb9myRb300ksqEAg0ubyyslJdddVVqqSkRC1YsKDZfs8//3xVUlKiPvzwwxbH9eGHH6qSkhJ1/vnnt3j95s2bVUlJiTryyCNbvHzy5Mlq6tSpavny5anrwuFw6us333xTff7558qyrCa3//jjj9XBBx+sJk+erMrKytq1z11JPtZ77rmn2XXhcFgdfPDBqqSkRP3tb39TSim1evVqtddee6mSkhL1wAMPKNM0lVJKRaNR9etf/1qVlJSoGTNmqO3bt7e4n7322ktde+21KhgMKqWUsixLPfbYY6nr1qxZ0+LtWvtZ/OxnP2vxZ3/PPfe0+Lh8Pp9atmyZqqura3J5Q0OD+r//+z9VUlKibrzxxnbvp7Hk83Xz5s1NLr/99ttVSUmJOuSQQ9SqVatSl5eWlqrjjjtOlZSUqKuvvrrJbZI/z7322ktNnz5dvfnmm6nrKisr1cknn6xKSkrUHXfc0ep4drZhwwY1adIkVVJSok4//XT18ssvK5/P167b3nrrraqkpETNnj1bvfXWW02u27ZtW7PjvGbNGvXf//5XRaPRJpdv2rRJff/731clJSVq2bJlzfbT2jF86qmnVElJiZozZ06T54JhGGrRokWqpKREHXbYYSoSibTr8QgxUMjMthCi3ZxOJ1dccQVg126bprnL2wwbNozjjz+ejIyMJpcXFRXxxz/+EZfLxQsvvNAl422LaZrMnz+fo446KnWZ1+tNfX344Yez3377Neu8MnPmTK6++mpM0+Sll17q0jEGAgFuvvlmqqqqcDqdqbaLDz30EIZhcNRRRzF37lx03f5T7na7+eUvf8mECRPw+/089dRTLd5vTk4Ot912G+np6QBomsYFF1zAMcccg2EYXT67nZWVxemnn05ubm6Ty7Ozs7nlllsYMmQI//nPfzpc5rCzQCCQOha/+tWv2HvvvVPXjRo1ij/84Q8AvPzyyy2WQhiGwbx58zj88MNTlxUVFXHNNdcA8Pbbb7d7LGPGjOHqq68G4KuvvmL+/PnMmjWL4447jptuuomXXnqJWCzW7Hbbt2/nySefBOx3lg477LAm1w8aNKjJybUAkyZN4ogjjsDtdje5fMSIEfz+978HaPfvXiwWY+HChTgcDhYsWMDs2bNT1zkcDn784x9z7LHHsm3bNjm5U4idSDcSIcRuOfXUU7n//vvZuHEjL7zwAqeddtoub2NZFm+88QbvvfcemzdvJhQKpUojNE2jtLSUcDjcoRrWPXHqqae2eX1tbS0vvPACX3zxBTU1NUSjUcAObwBr167t1PH885//5P333wd2tP6LRCJomsZPf/pTRowYAcB7770H0GK9ejI4//KXv+S9995LBbvGzjrrLDweT7PLzzvvPF599VXefffdznxYrfrggw/473//S2lpKcFgMFXS4Pf7CYfDlJWVMW7cuD3ez6effko4HGbo0KFNXlwl7bvvvkybNo2VK1fy3nvvMXLkyGbbnHXWWc0u22effQB2u2778ssvZ+rUqfztb3/j/fffJx6Ps3HjRjZu3MiyZcsYOnQot99+e5NA+/bbbxOPx5k6dSozZ85s975isRivvPIKH330ERUVFYTD4SZlSe19Dn/++edUVVWxzz77sNdee7W4zZw5c3jllVf4+OOP2/V3QYiBQsK2EGK3JGexfvazn7Fo0SJOOukknM7W/5T4fD4uvfRSVq5c2eb9+ny+bg3beXl55Ofnt3r9u+++yzXXXIPf7291m4aGhk4dU0VFBRUVFYD9LkJeXh6HHXYYF1xwAfvvvz9gH6dkjXBrQXT8+PFA8xMqk8aOHdvm5dXV1QQCgVR9cWeLxWJce+21rZ6QmVRfX98p+9u4cSNgP77WesSPHz+elStXtnjM8vLyyMrKanZ5soZ855N82+OAAw7ggAMOIBKJsGrVKv73v//x1ltvsWLFCrZu3cqll17KsmXLUj/j5Emv++23X7v3sXXrVn74wx+mHn9L2vscXrduHQDl5eWt9ntP/q5s37693WMUYiCQsC2E2G0nn3wy9913Hxs3buS5557jzDPPbHXb2267jZUrVzJmzBiuu+469ttvP/Ly8lJvbR922GFs376deDzeXcMHSJVQtMTn83Hdddfh9/s57bTTOO+88xgzZgyZmZnous7777/PD37wg04rc0iaN29es1KAnTUOdq2dLFpYWAhAMBhs8frWbtf48mAw2GVhe/HixSxfvpyioiJ+8pOfMGvWLIqKilLPiXPPPZfPPvus045v8pi19eIq+dhbOmatPVeS5Tt7wuv1MnPmTGbOnMkll1zCJ598wo9+9CNCoRAPP/wwv/vd74Ad76Y0Pol3V2688UY2btzIfvvtx1VXXcXkyZPJycnB5XJhGAZ77713u49xMkjX1tbu8oTQ5DtAQgibhG0hxG5zOBxceeWV/OQnP2HRokWtlmMYhsHLL78MwKJFi5rNqBqG0aTrxO5IzlCqVnp+t9TKrb3efvttGhoamDZtGrfffnuz2dDk7HNPaBz8ampqKC4ubrZN8pjuXCef1FpYanx5S7dt7Vjv7sxusk74tttua3FJ8m3btu3W/e1K8pi1FRJramqA1o9Zd5k5cybnnnsuDz30EF988UXq8uS42tvBZPv27Xz00UekpaWxePHiZvXxu/scTh7Dk08+mTvvvHO3bivEQCcnSAohOuTEE09k/PjxbNmyJdX/eGe1tbWEQiFyc3NbLF1Yv359u06ybEmy5KS1AFVWVtah+wX7rXKAqVOntlh20Nm12rsjOzs7NUPbWj/tb775BrBb5LVkw4YNLV6evL/CwsIms9q7Cqu72185eXynTZvW7Lq6urpWyxBaKwHZlTFjxgD242vtBcOujll3StbmN363J1ka9L///a9d97F161bALp3ZOWgDfP3117s1puT+169fv1u3E0JI2BZCdJCu61x55ZUA/PWvf23x7ehkd49AINCkl3bSgw8+2Or9J2/b0u1gRyDZvHlzi/2Rly5duotH0LrkyYMtzbrX1dXt0X13hkMOOQSAxx9/vNl1Sin+/ve/N9luZ0uXLm2x40WyY8fBBx/c5PLksf7yyy+b3ebLL7/c7RcfyZ9tcja5sYcffrjVF2DJn0trz4nWzJgxg7S0NCoqKnj99debXf/ll1+ycuVKNE1r9tg7W21t7S5XYE2e3zBq1KjUZYcffjgul4vPP/+cTz/9dJf7aXyMW9pfW797LZk5cyZ5eXmsXbu21cWNhBAtk7AthOiw448/npKSEsrLy1tczCI7O5sJEyZgGAa///3vUwHPNE0WL17MSy+9hMvlavG+kwHv448/bvH63Nxc9t13X2KxGLfffntqFjB533vSUSPZ7eHll19OdQcBqKysZP78+R2eje8sP/zhD3E6nbz++uv87W9/S3XxiMVi3Hrrraxbt46srKxWT2Srr6/n5z//ear8QynFE088wauvvorD4eAHP/hBk+2TpR5LlixpUtpQWlrKjTfe2OYJsi2ZMWMGALfffnuqRlopxb/+9S/+9re/tdgpBXY8Jz755JNdBtbGMjMzU8fi//7v/1i9enXquk2bNnHjjTcC9vO5pU4knen555/n1FNP5R//+EezF4k+n4+7776b559/HqDJuRDFxcV8//vfB+Cqq65q9vzevn07CxcuTH0/fvx4cnJy2LZtG3/9619TxysajfK73/2uyTFoD4/Hw/z58wG4+uqree2115r9DNatW8cdd9zRrhcDQgwkUrMthOgwTdOYN29emwH0uuuu44orruCZZ57hlVdeYfjw4ZSXl1NXV8cVV1zBc889lyoraOyEE07giSee4IEHHuC1116jqKgITdP40Y9+lOox/JOf/IQf/vCH/Otf/+KNN95g5MiRbNmyhUAgwE033cRvf/vbDj2uKVOmcOyxx/LKK6/wgx/8gFGjRpGens769evxeDxcf/31qT7FPWHy5Mn84he/4P/+7//4wx/+wEMPPcSQIUNSqxK63W7uvPNOioqKWrz9FVdcwV//+lfeeOMNxowZQ2VlJZWVlYD985o8eXKT7Q877DAOOugg3n//fc455xxGjRqFy+Xim2++YcaMGUyaNIkXX3yx3eO/6qqreP/993njjTc47LDDGDVqFFVVVVRWVnLqqadSUVHBihUrmt3uO9/5Dn/+85/597//zeeff86QIUPQdZ3TTz+dM844o819Xn311Xz11Vd89NFHnH766YwfPx6n05kqZZo0aRK//OUv2/0YOkrTNL7++mtuueUWbrnlFoYPH05+fj4+n4/y8vLUi8Yf/vCHfOc732ly2+uvv57Nmzfz+uuvc8kll1BcXMygQYOoqqpi+/btKKWYN28eAC6Xi6uvvpr/+7//4+677+bJJ59k0KBBqTaLv/3tb7n55pt3a+znnXceFRUVLF68mHnz5pGbm8uIESOwLIvy8vJU95jGLQuFEDKzLYTYQ8ccc0yzcNbYnDlzeOCBB5g2bRqRSISNGzcyatQo7rjjjhZ7QCfNnDmTu+66i3333ZfKyko+/vhjVqxY0aS0Y/bs2Tz44IPMmDGDeDxOaWkpe++9N4899hhHHHHEHj2uO++8kyuuuIJhw4axdetWqqurOfbYY1m6dCmTJk3ao/vuDOeddx5PPPEERx99NJZlsXbtWrxeL6eccgrPPvtsm49/5syZPPnkk8yYMYNNmzbh8/mYOnUqCxcuZO7cuc221zSNhQsX8oMf/IDi4mK2bNlCKBTi0ksv5W9/+1ur7060ZsqUKTzxxBMcfPDBWJbFxo0bKSgo4Oabb04tMNOSkSNHct9997H//vvT0NDAp59+yooVK1p8sbYzr9fLQw89xC9+8QumTJnC1q1bKS0tZdy4cVxzzTU8/fTT5OXl7dbj6IjzzjuPRx99lEsuuYRp06ZhWRZr1qxh+/btDBs2jNNOO40nnniCn/3sZ81u63a7uffee7nzzjs58MADicVirF27Fl3XOfzww5sdu+9///vccccdTJ48mfr6ejZt2sSUKVNYvHgxZ599dofGf/311/PUU09x0kknkZaWxtq1aykvL2fQoEGceeaZLF68mAMPPLBD9y1Ef6Wp3XkvTgghRJ91wQUXsGLFCh577DGZfRRCiG4iM9tCCCGEEEJ0EQnbQgghhBBCdBEJ20IIIYQQQnQRCdtCCCGEEEJ0ETlBUgghhBBCiC4iM9tCCCGEEEJ0EQnbvZhSivr6+t1aKU3sPjnOXU+OcfeQ49z15Bh3DznO3UOOc/eQsN3LyS9A95Dj3PXkGHcPOc5dT45x95Dj3D3kOHc9CdtCCCGEEEJ0EQnbQgghhBBCdBEJ20IIIYQQQnQRCdtCCCGEEEJ0EQnbQgghhBBCdBEJ20IIIYQQQnQRZ08PoD8zTZN4PN7h2yuliMViRCIRNE3rxJGJxvrqcXa5XDgcjp4ehhBCCCHaIGG7Cyil2LZtG/X19Xt8X5ZlUVtbu+eDEm3qq8c5NzeXwYMH96kXCUIIIcRAImG7CySDdnFxMenp6R0OQkopTNPE4XBImOpCffE4K6UIhUJUVlYCMGTIkB4ekRBCCCFaImG7k5mmmQraBQUFe3RffTEE9kV99TinpaUBUFlZSXFxsZSUCCGEEL2QnCDZyZI12unp6T08EjEQJJ9ne3JugBBCCCG6joTtLtKXZkhF3yXPMyGEEKJ3k7AthBBCCCFEF5GwLYQQQgghRBeRsC3abdmyZUycOJEtW7b09FB6xH333cfy5cv7zX6EEEKI/kKZZk8PoVW9shvJc889x6effsqqVatYt24d8Xic2267jTPOOKPF7QOBAAsWLODVV1+lqqqKoqIijjnmGK666ioyMzNbvM0LL7zAo48+yjfffIPL5WLq1KnMnz+fffbZpysfmujD7r//fo499liOPvrofrEfIYQQoi9QloWKGfZHPJ74bGBFYvZHMAyWhWfCCFzFeT093GZ6Zdi+++67KS8vJy8vj+LiYsrLy1vdNhQKcf7557NmzRoOPvhgTjzxRNauXcsjjzzCRx99xJNPPtmsM8h9993Hn//8Z4YOHcr3vvc9QqEQ//73vzn33HN56KGHmD17dlc/RCGEEEIIAai4HaStWBwVi9tBOhrHCkWwQlFUNI4yDDBMlGGCUvYNNQ2cDjSnAxWIwJjeObvdK8P27373O0aNGsWwYcNYvHgxd911V6vbPvjgg6xZs4a5c+dyww03pC6/5557uPfee3nwwQeZP39+6vLS0lIWLFjA6NGjWbp0KVlZWQBccMEFnH322dx888385z//wens/EOjlCJsqN3a3jQtHJbWqV0n0pyde39Lly7lscceY+PGjaSlpTFr1iyuu+46xo0bB8Cbb77JZZddxpIlS9h3330BeOWVV5g/fz6HH344ixcvTt3XySefzOjRo1mwYEGb+3z77bd56KGHWLVqFYZhMHToUE477TQuu+yy1Davv/46ixcvZu3atei6nnr3Ytq0aaltFixYwMKFC3nuuee4//77efvtt/F4PBx++OH8/Oc/Tz0/Jk6cCMCzzz7Ls88+C8D+++/P448/Tm1tLffccw8rVqygoqICr9fLhAkTmD9/PjNnzmwy7lgsxuLFi/n3v//Nli1bSE9Pp6SkhGuvvZbp06e3uR8hhBCir1FK2WE6Gk+FahWL2zPSoQhWKJKaqcYwsSwFKNA0NIeO5nKiOR3oaR40p8MO1y1kmHg42v0Prp16Zdg+6KCD2rWdUoolS5aQnp7OlVde2eS6yy67jL///e8sXbqUq666KvWDWbZsGYZh8OMf/zgVpAAmTJjAqaeeytNPP82HH37IIYcc0nkPKDHW0/5RxScVsU69346YNdTNs2cXdUrgvv/++/nTn/7ESSedxPXXX09dXR0LFy7knHPOYenSpYwePZpZs2bhcrn44IMPUmH7/fffx+v18vHHHxOPx3G5XNTU1LB+/XrOPffcNve5ZMkSbrnlFmbNmsVvfvMbCgoK2LhxI+vXr09t88ILL/CTn/yEQw45hLvuuotYLMaDDz7IBRdcwCOPPNIsBF9zzTUcf/zxnH322axbty71Au+2224D4JlnnuGiiy5i9uzZXHHFFQCpEqX6+noA5s2bR2FhIaFQiNdeey21r+Q7JYZhMHfuXD799FMuvPBCDjjgAEzT5H//+x8VFRW73I8QQgjRGyVnolOhOhmmg2GscGJmOm7as9ONZqU1lxPN5QSnAz3NjeZ04nT0v9MJe2XYbq/S0lIqKys55JBDmpWKeDweZs6cyeuvv05ZWRmjR48GYMWKFQAcfPDBze7v0EMP5emnn+bjjz/u9LAN9rsd/YnP52PRokUcfvjhTd59mD17NscccwwLFizgrrvuIiMjg3333Zf3338/NfP8wQcf8P3vf5+HH36Yzz//nFmzZvH++++jlGrzxVYwGOT2229n+vTpPPbYY6kXDAceeGBqG8uy+OMf/0hJSQkPPPAAum7/4h5++OF85zvf4c477+Tpp59ucr9nnHEGP/rRj9A0jYMOOoiysjL++c9/8vvf/x5N05g6dSq6rpOfn8/UqVOb3Hbs2LH8+te/Tn1vmiaHHHII5eXlPP7446mw/eKLL/LRRx/xu9/9jrPPPju1/Zw5c1Jft7UfIYQQoicoy9oRoqN2zbQVjWEFI1iBcKqOGsNEWZZ9o0ZhWnO70DK8aE4Hmt7/wvSu9OmwXVZWBpAK0jsbNWpUarvkNqWlpaSnp1NUVNTq9qWlpW3uV6nWS0GS1ymlmm237KzC3SojAVLLiHemNKcdUNt6HC3Z+bGtXLmSSCTC6aef3uS+Bg8ezAEHHMCHH36YuvyAAw7ggQceIBwOU1NTQ1lZGSeccAIffPAB7733HjNnzuT9999n6NChjBo1qtWxffbZZwQCgdTsd0vbbdiwgcrKSi666CI0TUttk56ezjHHHMMzzzxDKBQiLS0tdd2RRx7Z5P5KSkqIRqNUV1dTWFjY5Bi0tM+nn36af/zjH3zzzTfEYjvevRg7dmxq+2SJyhlnnLHLY9/aflrabne27ymNxym6jhznrifHuHvIce4eTf6HGCYqGrfrppPBOmyHaSsUtWet46bd9UMlyjycjkSgdqBnpdlf7ypMd9HPVNEz/wvbUyXQp8O23+8HWn+bPXl5cjuwO5fk5+e3uX0gEGhzvw0NDa3+MGOxGJZlYZomZgttaDy7+4JO17GfQp3HrofqyO2s1GfTNKmtrQUgPz+/2WMtKiqivr4+dfns2bO59957+fjjj9m6dSt5eXlMnDiRAw44gPfff5958+bxwQcfcOCBB7Z43JJqamoAKC4ubnW75DYFBQXNtiksLMSyLOrq6nC73amfY25ubpNtkzX7oVAodXnyl3jn+3zkkUe44447OOecc5g3bx55eXnous6CBQvYsGFDavva2lqKi4tbvI/GWttPS0zTxLIsfD4fkUhkl9v3tIaGhp4ewoAgx7nryTHuHnKcO1cyUKtYHJK108EI24MRVDQGcRPiBipRN63pOricaE4nuBxobiea09XCHVsQi9kfPcQIBIn7fDjTuzfa5uXtuvtJnw7bPSUnJ6fV6yKRCLW1tTgcjk6Zke6Kme2OSpZj6LqOw+FIvWhJPt7GqqqqyMvLS10+bdo00tPT+eijjygvL+fAAw/E6XRy0EEH8eijj7J69WoqKio46KCD2ny8BQUFAFRWVra6XXKbmpqaZttUV1ej63pqbI1fkTbedufHCvarV03Tmt3nv//9b/bff39+85vfNLk8FAo1ud/8/Hw+++wzNE1L3X9LWttPSxwOB7quk52djdfr3eX2PUUpRUNDAzk5ObLEfBeS49z15Bh3DznOHadMExVJzFBHYqhYHDMQtmeoozFIdPZQlkKhEY6EycjNQc/K2lH20QfrpmP+COnZ2bhyc3t6KM306bCdPMGxtZno5OWNT4TMzMxsMtPd0va7OiGtrV/85HXJwLQnGs+e94Y/Njs/tmnTpuH1enn++ec5/vjjU9tt27aNDz/8kGOPPTZ1G7fbnarLrqio4Prrr0fTNGbNmoXD4eDuu+9O1Uu39VinT59OVlYWzzzzDCeddFKL244dO5ZBgwbx4osvcskll6S2CYVCvPrqq0ydOjVV47/z7Rs/xsaPNfkYotFoi7dxu91NLl+7di2ff/45Q4YMSV1+2GGH8e9//5tnn32Ws846q9XH2Np+WtKZz7fu0FfG2dfJce56coy7hxznliml7BnqqN1nWsXsNnmmL4QVtr+3Z6gT9dOOxKy024mWk7Gj3EMpYv4ArqzMPn9imUbvfb706bC9qxrrZE13cjuw67tXrlyZWvympe1bqwEXTWVnZ3PFFVfwpz/9iZ/+9KeceOKJ1NfXc++99+LxeJg3b16T7Q888EBuv/12YEfHGa/Xy7Rp03j33XeZOHFiala6NRkZGfzsZz/j5ptv5uKLL+a73/0uBQUFbNq0ibVr1/LLX/4SXde54YYb+MlPfsJll13GOeecQywW46GHHsLn83H99dd36PGWlJSwYsUK3njjDYqKisjIyGDs2LEcccQRLFq0iHvuuYdZs2axceNGFi1axPDhw5uUgpx00kksW7aMX//612zcuJHZs2ejlOJ///sf48aN48QTT2xzP0IIIQYWZZh2mI7GsCJxrEgUyx+yu3xEDYjHsQwLDQW6bodplxM9M63PzlD3R306bI8ePZri4mI+++wzQqFQk44k0WiUTz75hOLi4iZhe9asWaxcuZL33nuP0047rcn9vfPOO6ltRPtcdtll5Ofn8/jjj/PSSy/h9XrZf//9ue6665q9aEl2DBk9ejTDhg1LXX7QQQfx0Ucftbvl49lnn01xcTEPPvggN998M0ophg0b1uTnefLJJ5OWlsbixYu59tprcTgc7Lfffjz22GNMnz69Q4/1F7/4Bb/5zW+47rrrCIfDqf7Xl19+OeFwmKVLl/Lggw8yfvx4fv3rX7N8+fJU9xuw68AfeOAB7r//fv7973/z6KOPkpGRwaRJkzj00EN3uR8hhBD9T2pBl+TKiNFYo1nqaKo/NUqhNA3dZc9Q614XWnY6TmfvKDUVrdNULz/VN7moTWvLtScXr2ltUZsrr7yyyaI2Gzdu5KSTTmL48OFNFrVZv349Z599NkVFRXu0qE0kEmHjxo2MGTNmj2tokyfJ7VxbLDpXXz7Onfl860pKKerr68nNze1zx7gvkePc9eQYd4/+dJxTXT7i8Sbt86xQdEfbvLhpt80zTbsngiMxS+1x2W3zXM6uOQ5K4fcHyOoHZSTx8irSp5XgGlq46427Wa+c2V6yZAmffvopAOvWrUtdlpwlPProozn66KMBmDt3Lm+88UZqJcm9996btWvX8vbbbzN58mTmzp3b5L7HjBnDvHnz+Mtf/sIpp5zCsccem1qu3TAMfvvb33bJ6pFCCCGE6J9SJyVGY3awTvSgNgNhVDRm96COG1iWIhlpNbe9mIvmcqB73GguB1ovaYggOlevTJWffvppaqnqpM8++4zPPvsMgGHDhqXCdnp6Oo8//jgLFy7klVdeYcWKFRQWFnLxxRczb968ZovdAPz4xz9m2LBhPProozz11FO4XC6mTZvG/PnzUyscCiGEEEI0lgrVkShWOLHcuC+IGYqiYomWekoB2o7Z6UY11P1xdUSxa72+jKSvkTKSvqcvH2cpIxGNyXHuenKMu0dvOM4qbmCFo3a5RziK2RDA9Id29Km2FOiaXebhdu743JdWSJQykm7RK2e2hRBCCCG6izJNO1SHIpjBCFadHzMQSqyoaNgt5RKBWs9MQ3Nn9a1QLXqUhG0hhBBCDChWNG63zwuGMeoDmPUBVDiGFTfsfs1uJ5rXjSM3C6dbopLYM/IMEkIIIUS/pZRChaKYwTBmIIxZ24DlD9tt9ZRCczjQ0zzouRk43S0sRS7EHpKwLYQQQoh+Q5kmVjCKFQxj+kMY1Q1YoQgqGgM0u52e140zO0MWfRHdQsK2EEIIIfosFTcwg2GsQATTF8SoaUCFo3a7PV1D87rRM7xoBdlyUqvoERK2hRBCCNFnpOqtA2GMOj9mQ8AO14YJDj1REpKJLiUhopeQsC2EEEKIXmnnemur1ofpTyxjbil7QZh0L46CHDRZtlz0UlKsJNptwYIFTJw4kdra2l1uO2fOHG688cZuGNXu2759OwsWLGDNmjX9Yj9CCNFfqLiB2RAgvrWa2DflBD9cTeDDrwh9spbo2jKMOj+a24VzUD7u4UW4BuXjyEqXoC16NZnZFl1i4cKFZGZm9vQwWlRZWcnChQsZNmwYkydP7vP7EUKIvijV2zqc6G9d57cXjYnEsKJxjHAYVZCHnu5By8+SemvRZ0nYFl1ir7326ukhCCGE6CWUUqjkaoyhiN3buiGAisTs1RjBXoHR68aRl4XT6SDqD+DsBysbCiFlJGK31dTUcN111zFjxgwOOuggbrrpJvx+f5Nt2ltGYlkWjz/+OKeeeir77rsvM2fO5Lvf/S6vv/56k20eeOABjjvuOKZMmcKBBx7IT3/6U7Zt29bkvi644AJOOukkvvjiC8477zz2228/jjrqKBYvXoxlWQB89NFHnHXWWQDcdNNNTJw4kUmTJnHvvfcC8OWXX3LttdcyZ84c9t13X+bMmcN1111HeXl5s7Fv376dW265hcMPP5wpU6ZwyCGHMH/+fKqrq1vcz8SJE1mwYMFuHGkhhOibrGgco85PbEsV4bWlBD/4isAHXxFcsZrwlxuIV1SDZaFnp+McWohrWBHOoly7JMQl84Cif5FndDdKnuixO9tbponmcHTq22daumeP7u+qq67ihBNO4KyzzmLdunXcddddANx22227fV833ngjzz//PGeddRbz58/H5XKxevXqJuH217/+Nc888wznn38+RxxxBOXl5dx9992sWLGCZcuWkZ+fn9q2qqqKG264gR/84AfMmzeP1157jbvuuovi4mJOO+009t57b2677TZuuukmfvzjH3PEEUeglKKoqAiA8vJyxowZw4knnkhOTg5VVVU89dRTnHXWWfz73/9O7Wv79u2ceeaZGIbB5ZdfzsSJE6mrq+Pdd9+loaGhxf0ADB48uKOHXQgheiVlWfaMdTCMGYzYi8YEIvasdaJDiOZ12+UgeZmyzLkYcCRsdxOlFN8e/xNCK3r+ZLn02Xsx7qU7Ohy4zzrrLObOnQvAQQcdRFlZGf/85z/5/e9/v1v3+cknn/Dcc89x+eWXc+2116YuP+yww1Jff/vttzzzzDOcd9553HLLLanL99prL84++2weffTRJretr6/ngQceYN99902Nb8WKFbzwwgucdtppZGZmMmHCBABGjhzJ1KlTUUphmiYAxx13HMcdd1zq/kzT5IgjjuDggw/mxRdf5MILLwTg7rvvpr6+nueee45x48altj/hhBNSX++8HyGE6A+UZWEFIliBEKY/iFHjwwpGEuUgOxaNcRTloDnkxEUhJGx3p35SdzZnzpwm30+cOJFoNEpNTQ2FhYXtvp+3334bgO9///utbvPRRx8BcPrppze5fN9992XcuHF88MEHTcJ2UVFRKmg3Hl97O4IEg0EWLVrEq6++Snl5eSqEgx38G4999uzZTYK2EEL0R6n2e/6QvWhMdb09cx2L75i1zkq3Q3Y/+T8nRGeSsN1NNE1j3Et37HYZiWmaOHpZGUlubm6T791uNwCRSGS37qe2thaHw5Eq4WhJfX09AMXFxc2uKy4uZuvWrW2OLTm+aLR9x/3666/nww8/5IorrmCfffYhIyMDTdO49NJLm9xHXV0dgwYNatd9CiFEX6MM0+5n7QsSr6zD9IWwIjE0DbQ0D3pOOrrH3dPDFKJPkLDdjTRNQ8vwtnt7pRTKNNE7OWz3Fvn5+ZimSVVVVYthGnaE58rKymb1zpWVleTl5XXaePx+P2+++Sbz5s3j0ksvTV0ei8VoaGhosm1eXh7bt2/vtH0LIURPs6JxzIYAZp2PeGU9KhhBGWZquXOHtN8TokPkLAXRY5K12U899VSr2xxwwAEAPP/8800u/+KLL/j2229T1++O1mbiNU1DKZW6PmnJkiVNykmSY//oo4/YsGHDbu9HCCF6CysYIb61mvCXGwh+sMpePObbrWBZOApzcA0vwlmYg562Z++ICjGQycy26DEzZ87k1FNP5a9//Ss1NTUcccQRuN1uVq9eTVpaGhdccAFjx47lnHPO4e9//zu6rnPYYYelupEMGTKEiy++eLf3O3LkSLxeLy+88ALjxo0jLS2NwsJChgwZwqxZs3jooYfIy8tj2LBhrFixgqVLl5Kdnd3kPq6++mrefvttzj//fC677DJKSkrw+/288847XHzxxYwbN67ZftLT0ykuLpbyEyFEj1FKYfnDmL4ARmU9Rr0fFY6CQ0fPTMM5OF+6hQjRySRsix51++23s9dee/HPf/6TZcuW4fV6GT9+PJdddllqm1//+teMGDGCpUuX8uSTT5KZmcmhhx7K9ddf36EykrS0NH7/+9+zcOFCLrnkEuLxOFdccQXz58/nrrvu4tZbb+WOO+7AMAymT5/Oww8/3GQ8AIMGDWLp0qXcc889PPDAA9TX15OXl8eMGTNSpS8t7WfevHlcddVVe3TMhBBidyjDxPQF7WXQt9dh+UKoaAw8LhyZaWh5Uh4iRFfSlFKqpwfRn0QiETZu3MiYMWPwettfn92SrjpBUjTVl49zZz7fupJSivr6enJzc/vcMe5L5Dh3vb5wjBt3DzHqfBhVDahgGGVZdv11ZlrvP7lRKfz+AFmygmTX6kfHOV5eRfq0ElxD298VrbvIzLYQQgjRx1mxOJY/ZAfsqvod3UN0DT3di6MoF80pPa+F6AkStoUQQog+RsUNzEAYKxDCqPVj1vuxghFQCs0j3UOE6E0kbAshhBC9mFIKFY7aS6KHIhi1PsyGACocwzIMNJcTPcOLc1A+mkNObhSit5GwLYQQQvQSyjRRkThWOIoVSazaWBfACkdR0ThYFrid6GkeHIU5OKU0RIheT8K2EEII0c2UZaGicaxIDBWOYkZiWL4gpj+EisZRsThKKTQ9sRx6ugctL1Pa8gnRB0nY7iLS5EV0B3meCdG7KctCRWJ2qI7EUqHaCoSxYnGIxlGmhdJAd7vQ3C70zDQ0d5YEayH6CQnbnczlcgEQCoVIS0vr4dGI/i4UCgE7nndCiJ6jDNOuqw5HsMJRuyOIL4gVjdt9rRUoVCJU26UgWk6m1FkL0c9J2O5kDoeD3NxcKisrAUhPT+/w2eB9uf9zX9IXj7NSilAoRGVlJbm5uTgcUrcpRHdSpokVjmGFIpjBCFZ9ADMQsmex4yYaClxOdI/LLgHJlVAtxEAlYbsLDB48GCAVuPeEZVno8lZil+urxzk3Nzf1fBNCdA2llB2iE8E6tmkrQUuzT2SMG2iA5naied04crNwuuVfqxBiB/mL0AU0TWPIkCEUFxcTj8c7fD9KKXw+H9nZ2X1mxrUv6qvH2eVyyYy2EJ2scY21FYpiBe0+1lY4iorEUJaFGY1CQR56bgZOt5RwCSHaJmG7Czkcjj0KQ0opIpEIXq+3T4XAvkaOsxADj4obqVpqFY03PXExWWNtKdA1uxuI123XV+saUX8AR1ZGn1/eWgjRPSRsCyGE6JdU3LC7gMTidpu9WBwrELbb68XiqJiBihvNT1xsq82edAASQuwmCdtCCCH6tFQXkEgUFY1hBsKYvhAqEkVFDZRh2LPUmgYO3a6vdjvRs9PRXE5psSeE6FIStoUQQvQZViRm10+Ho5jBMFZDEDMYtheCiRuABg4NLTlLnZthB2op+RBC9BAJ20IIIXolKxrHCkXsWetAMHGiYgyiMZSlQMMO1R4XjtwscPWd9p1CiIFDwrYQQogep0wTKxhNtNcLY9b6sAKJGWvD3HGioseNlpOOJp14hBCAYSnCBgTDFrph0Rv7A0nYFkII0e2saBwrGLbDdX0Ao86PCsfsJcw17FDtdePIlmAthEhQiogJkbgibFj4YopQTBE1FdQbuGOQ1dNjbIGEbSGEEF1KKYUKR7GCiVnrGp/dESQcxTJNNKe9dLn0rRZCNGZYiogBEcMiGLPDddSAmGmhAU6Hhtehke7Sqe/pwbZBwrYQQohOpSwLKxixw7U/iFHdgBWyO4WglF1nnebBUZyLU2athRDYL8qjBkQMRcRUNEQtQnFFzFCYSqFrGh6HRppTI8fj6FNt7iVsCyGE2CPKMLGCYcxABNMXwKzzYwUidkmIrqF73W33rhZCDDgxUxExFFFDEYxZ+GN2iUi80ay1x6GR49Vx9vE/GxK2hRBC7JZUuPaHMev9GLV+u6d13D6RUU/zoOek4/S4e3qoQoheYEc5iCJimPiidt111FIoBQ4N3A6NdKeGu4/NWreHhG0hhBBtUpaVWHkxEa5rfKhwxA7XTgd6mgdHXhaaS/6lCDHQmVaiHMRUROIW/riyy0FMhZVYgdWta7idGhm6jqOPz1q3h/xlFEII0YwVimD6Q5gNQYzqersNX8wAp46e5sWRny3hWogBzrIUUROiiTprf8wimAjWhqmaloN4+n45SEfJX0ohhBAoy8L0BbF8IYyqeoyGACocRWmJspDcTHTpFCLEgLVzsA7ELAJxRdy0PwBcDg23rpHl0nF5e3jAvYiEbSGEGKCUadoz13V+jO11WIEQVsxA97jQM7xoeVmyIqMQA5BhKWIGRE27h3VyxrpJsNY1XA6NTJeO00O/q7PuTBK2hRBiAEnOYBu1foxtNVi+EMo07VZ8uVk43fJvQYiBJG4p/DGV6A5iz1aH4oq41bQUxK1LsO4o+asqhBADgBWMYNQ2EK+oxaz3o+KGHbALpPZaiIFAKUXM3DFbHY5bBKKKWr+FyxPDAlCJYO2QUpDOJH9hhRCin1KGiVHrw9heR7yqDhWMoEn9tRD9nmElV1q0g3UwZi8QEzVJlYGggUsHp67I9ui4HDJd3VUkbAshRD+ilLLLRGp8GBXVmA1B0DQc2RlSgy1EP6OUHaCToTpqWPhjdj/ruKkwLDtYOxP11WlOjWyPhq4lbw9BU8Opy9+FriRhWwgh+gErEsOoaSC2voxQzMKKxdEz0nAOykOTJdGF6NuUImphl4EYiphhETQStdU7zVa7dbsriNet45Jf/V5BwrYQQvRRyjQx6wPEq+owttVh+kNYsSj60GKcaZ6eHp4QYnclQnU8EarjVqIExLC7g8QthUKlaqtdevPZatH7SNgWQog+RCmF5Q9j1vmIlVdjNQRQCvSsNFxDC3AEQ+heWSZdiN7KshRxC+IWGKYdqKOmImwou/wjEaqTqy06dDtUe5yQOUBWXOxvJGwLIUQfYEXjmLU+4ttqMKobsKIx9HQvjqJcNGfiveLEP2chRM9RKhGmTftExbilEjPVFqFE72rTspc1N5VCQwMUToeGU9NwORkwy5gPFBK2hRCil1KWZS86U1VPvKIaMxBBc+g4cjJwFuX29PCEGLiUIpaooY4nZqdjpkUobp+caJhgKIWpAAWg0HUNp5Zoree0T0qUQD0wSNgWQohexgpFMGp9xLfWYNb5UIaFnpmGa0g+mi7/nYXoLpaVDNWJHtWGXT8dSZ6YqBRmouOHpmk49UTnDyekaTpOXRaAERK2hRCiV1BG4mTHyjri22pRwTCa140jLxtNVnUUokuZiVKPmJVsoacIxhRh056ljlsKpXasppgM1Om6HaiFaIv8BRdCiB5in+wYwqhpIF5RY/fEVgo9OwNHXpH0xBaikxnJUG2qRG9qi0AMwobCsOzrk2UfySXK05wa2Q7p9iE6TsK2EEJ0MysYwajzE99WjVkbsHtip3twNj7ZUQjRIYZlz0bHEsE6biki8R0nJxqWHaxRpFZRdDk0Mpz2wi/yGld0NgnbQgjRDaxQJFUmYtT4UKEImteNnp2OU1r1CdFuybBsWKRWSYyadtu8cKOTEw0LSPSkTp6c6HJoeF1SSy26l4RtIYToIqmAXVWPUdOACkXB5cCRlY6WL0unC9GS5BLkQUNhhC0MZZd9hA1F1LBnrM1EyUeyF3WqljpxkqI30TpPSj9EbyBhWwghOlGLAduZCNh5ErCFSLKsRIcPU9knJhp267ywoYibCn/QxOOJoWk6aCoRpO12eR6nhkNa54k+ol+EbaUUr732Go8//jgbN27E7/czePBgZs+ezY9+9CNGjBjRZPtAIMCCBQt49dVXqaqqoqioiGOOOYarrrqKzMzMHnoUQoi+SgK2EG1Lts6LGHaoDsRVIlQ3PynRpWt4HBq6B7IynFLuIfq8fhG2//CHP/Dwww9TVFTEUUcdRWZmJmvXruUf//gHL774Ik8//TQlJSUAhEIhzj//fNasWcPBBx/MiSeeyNq1a3nkkUf46KOPePLJJ0lPT+/hRySE6O2sYASjPoBRVYdR65OALUSC3eUDIoZFOG7hj0LUUDuWINfsXtRuvfWTEpUCMya/Q6J/6PNhu6qqikcffZRhw4bx/PPPN5mZfuSRR7jtttt4+OGHue222wB48MEHWbNmDXPnzuWGG25IbXvPPfdw77338uCDDzJ//vxufxxCiN5NKYUVtGew7YDttwO2WwK2GLhMSxE27BnriGHii0IkbpeFWMo+CdGtg9upyRLkYsDq80/78vJyLMti+vTpzUpAjjjiCABqa2sB+5/lkiVLSE9P58orr2yy7WWXXUZOTg5Lly5FJU64EEIMbEopTH+I2JZKwp+tI/jhV4Q/X0+8qh49zY1zeCGuQfno6V4J2mJAiJoKX9Rie8Dkm9o4X1TGWV0VY31tjM0+k3DcwuWEPK9OcYZOUbpOjlcnzSn11WLg6vMz26NGjcLlcvHZZ58RCASaBO633noLgAMOOACA0tJSKisrOeSQQ5qVing8HmbOnMnrr79OWVkZo0eP7rbHIIToPeyFZsKYDX7i22sx6wKoSMxu05eZhl6Y09NDFKJ7KEXEtGeqQ3GLhpgiHFNEE6spunQNt0Mjy63jkvbwQrSqz4ftvLw8rr32Wv74xz9ywgknMGfOHDIyMli3bh0ffPAB55xzDueffz4AZWVlAK0G6VGjRqW2aytsd9fMd3I/MtPeteQ4d73efox3BOwAxvZazDq/vdCM24Weld40YPfSxwA7hmaXxfbecfZl/fkYK2XPXIfjiqBh4YsoQoYiZjesxu20T1zMcGvomt7stp06lsSxVShQ8q5RV+lPx1lh/y3v7v8z7XlXs8+HbYBLLrmE4uJifvnLX/LUU0+lLp82bRqnnHIKLpcLAL/fD9Bqx5Hk5cntWtPQ0NCtP8yGhoZu29dAJse56/WmY6yUQgUjWL4g5vY6rIYgKhpH87jRM71o2Wn2hvGY/dGHBAKBnh5Cv9dfjrG9GAyEDYuGxLLlMdPuW+1ygMcBaXoiUJhgmhDuxvGFQqFu3NvA1R+OczQcIeDzUV/fvYuE5eXl7XKbfhG2Fy1axKJFi5g3bx6nnXYa2dnZrFmzhttvv50LL7yQv/zlLxxzzDGdtr+cnO55G1kpRUNDAzk5OVIP2oXkOHe93nSMzUBiBntbYgY7GsPjdqEPLkLv4ys5KkWqnE6eyl2jrx/jmGkH63BcUR+xCMbt1Rc1FC6XRq5Xx+No32xdV1IoQqEQ6enpaPTBA91H9KfjHEkLkpmdTW5ubk8PpZk+H7Y/+OAD7r77bi6++GIuv/zy1OUzZszg/vvv56ijjuK2227jmGOOISsrC2h9RiJ5eXK71nT3HyFN03r8D99AIMe56/XEMVZKYQXCmA1BjO21GHV+VDiaqsF2FuV263i6UrKsQdOQtai7SF87xvHEyouhuKIhahGK2cuaK5S9dLlTI8uj976VFhMlDRrN2wKKTtSPjrP9K9k7/4/3+bCdPAly9uzZza7Lz89n4sSJrFy5ktra2lRNdmlpaYv3lazpTm4nhOibUjXYvgDxbTWY9UFUOAoeF46da7CF6Ediph2mQ3G7a0gwpoiYiRMaHRpeh0Z+mrTgE6I79fmwHY/HgR3t/XaWvNztdjN69GiKi4v57LPPUm+bJEWjUT755BOKi4slbAvRBynLwvKHMBuCxLfVYtYHUFHpIiL6L6UU0USP62S3kEi8hXDtknAtRE/q879+06dPB+wFbHY+sfHZZ5+lrKyMvffeO1Ffp3H22WcTCoW49957m2x7//3309DQwNlnn90r34IQQjSn4gZGTQORb8sJfria4EerCX3xLaYviJ6djmtEMc6iXPQ0T08PVYg9FjcV/piiKmRSWh9nVZX9sbo6RlmDQTBm4XRAvlenOMNBnlcnzSX9rYXoaX1+Zvu4447j6aefZsWKFRxzzDHMmTOH7Oxsvv76a9577z3cbjc///nPU9vPnTuXN954I7WS5N57783atWt5++23mTx5MnPnzu3BRyOEaEtyFUfLH8Ko82NU12MFwqAUWpoHR24WTnef/7MmBPHUkuc7VmaMGvbJjJYCXQOPQyPNqZHjcfT5elsh+jNN9dbGt7shFovx6KOP8p///IcNGzYQj8cpKChg1qxZXHbZZZSUlDTZ3u/3s3DhQl555RWqq6spLCzk2GOPZd68ebs8ObI7KaWor68nNzdXZtu7kBznrrcnx9iKxu1w7QtiVjdg+oKoaAx0HT3Di57hRXPIihoAKIXfHyArK7NPnLzXJ3XBMY4lgnXUsIgYVipYx0yFZTf0xq1ruJ0abn1gzFQrBcFQkIz0DHkqd6H+dJxrNlQy4Yi9GD6+uKeH0ky/CNv9lYTA7iHHuevtzjHecXJjEKPWh1nrwwpFQVl2/XW6F83rlp9VSyRsd709PMY7Zqx3BOtIXBGz7GCtaRpunQEVrFvSn0Jgb9afjnNvDtvyfqsQoscpy8L0BbEagsS21doLzMTi4HSgZ3pxDspDG6ipQ/RZTUtBLHxRlZqxNpVCA9wOe8Y6Q5eTGIXoryRsCyF6hLIsu/d1nR9jWy2WP4gVN9HT3Og56eievr3AjBhAVKIMxFSJ5c4tAjGaButkKYhDI126gwgxoEjYFkJ0G6UUVqI8JF5hB2xlmPbJjXnZcnKj6PUMBSFDYYQtohaE4olVGA2IWwoUiRpruxREgrUQQv6zCSG6nBkIY2ytJrSuAqshgIoZaOkeHPnZaC75MyR6p8ZlIFHDIhBL9LMOmrjdMdA0nLqGS7e7gmQ7tN63EqMQosfJfzkhRJdQccOewd5eh1FZR7SqFk9BLnpuJrrb1dPDE6KJxh1BQq2UgdjBGjJckJPuQJdkLYRoBwnbQohOo5TCbAhgVDcQ31qDFQiBpuHITsc1rBCndMkQvYBhKSJG0x7WyY4gahdlIEpBMK5JNxwhRLtJ2BZC7DErHMWo8RHfVo1Z60fF4uhZ6TgH5dtdRJQCf6CnhykGIqWIpDqCKHxRu8Y6ZipMq9GJi9IRRAjRRSRsCyE6JDWLvb02MYsdQfO6pExE9CilFOE4hA1F2DBpiNhfx0wLAJdDw+PQyPHoOCVYCyG6gYRtIcRuUYaJUdNAfGs1RlU9Km6gZ2fgHF4ob62LbmdZirBhB+pgzMQXVURMhWHaKy96dF2WNBddIm7C1oDBpgaDuogibikcQJpLZ2iWgxHZTnK98qQTEraFEO1kl4o0ENtUiVnvB13HkZcp/bBFtzJT4doiGLOahGtN0/A6NDKcOm5vT49U9Eemgi+3x3l3S4RvagzMXazBne/VmDXcw8HDPeR55a2UgUrCthCiVco0MesDxKvqMCpqsYIRtDR3YkVHR08PT/R3ShG17JMXI4bCH7Pwx3bUWzs0u9Y6y6XjknAtupCl4L3NEV7ZEKEhsouE3UhtRPHKNxFe+ybCfoNdnDYpnXwJ3QOOhG0hRDNmIIxZ5yO2pQqrPoBSoGen4RwmpSKiiySCdcyEiGERjlv4o/aJjXaXEIUrsQJjtlvHJa/1RDepDlk8sSrIN7VGh+/DAlZui7OmuoEzJqVzwDCPlDUNIBK2hRBAoha71oexvY54ZR0qFLEXninMkYVnRKcyLEXMSPa2VoSNxIx1YhVGS9kdIj26hscJWQ5dFosRPWJ1tcFDn/uJdTxnNxEx4MlVIVZXx7lwn0x50ThAyH9QIQY40x/CqK4nvrUasyFo12JnpaMXZPf00EQfZ1qKmAlR0y79CMUtgjE7ZMdV4iRGsMtBHBpuJ2RK+z3RS3y5Pc5Dnwd2WZfdEZ9vixMz/MydliWBewCQsC3EAKRM0+6LXVGDUVWPFYmip3ulFlt0mGkpooYdrMNxi0BcETIU8cTJiwo7VLt0DZcDvLrUWYve69s6g4f+1zVBO2l1tcHjXwb4wX6ZUlLSz0nYFmIAscJRjOp6YpurMOsDoIEjNxNnYU5PD030JTstFBOI2eE6luwKAjgdGm5dI9Ol4/TIwqGi7wgbisf+FyDRmr1LrdwWZ3JhlAOHe7p+Z6LHSNgWYgAwfUHi22uJl1dj+UNo6R6cxbloTpnFFrsWN5Ph2m6354/Zs9jxnU5clK4goj947usQtbvRcWRPLVsbYlKhS1oD9mMStoXop5RpYtb6iW2txqisQ0Xj6NnpOIcXSUcR0Sql7CAdNuxyEH9MEUoub65A18Dj0OyFYhyazFiLfmVTg8F7m2Pdus+IAf9aG+IHUzO7db+i+0jYFqKfUXEDo6qe6OZKzBof6BqOnAz0otyeHprohZRSRAwIxRXBuElD1P4+blqpchCvQyPdJScuiv7vrbJoj+z3821x6iNKVpzspyRsC9FPqLhBfHstsU3bMeoC6G6nlIqIFkVNRTimCMQt6iN26724qdB1DY+uke7UcMvy5mKA8ccUn23r3lntJAv4YEuU48dLHVZ/JGFbiD5OmSbG9jqipdswa31o6R5cg/PRZBpSJCilCMUhFLeoj1j4o4po4uwvj0OX5c2FAD7fFsXohpMiW7Nia0TCdj8lYVuIPkophVndQLS0AqOyDs3jxjmkQEK2AOyFY0JxRSBqURdRBA0LwwSXDl6XRqbHIQvFCNFIaYPZo/uvDin8MUWWW34x+xsJ20L0QWZDgNimSuLlVSjAOShfykUGOqUIxxW1EYsa06A+pojEFaal8DqlU4gQu7KloZOWidyTMfhMJhdKNOtv5CcqRB9ihSLEtlQR27QdFY3jKMxG97h7eliihyRnr4Mxu/Y6ELfwBSzS00zSXDp5XjmpUYj2MCzYFujBGpKEcr8hYbsfkp+oEH2AFYtjbKslWlqB6QviyM2ShWgGIMtShAwIxy0aonbtdcS0e127E+34nF7ITJeTG4XYHTFT0fNR2265KfofCdtC9GI7Tn6swKzxo2el4RomfbIHkpipCMUUgbhJXcQuFTEscOrgdWrkN2rJpxQY8twQYrd15bLsu8PsLQMRnUrCthC9UOrkx7IKjO2Jkx+HysmPA0Kic0jQsKgPWwRiiohhgQZeh06WW8cl5flCdCpXL/nT6nbKi+X2MBVUxzW2xfTURyiaz/W99MWKhG0hehmj3k+sbDvG1mqUpsnJjwPAzp1DQom+105dI82lUeCWziFCdCWPQyPdpRGK92xYkyXbbUqB39SoiGlsbxSokx+VMQ2Tnf8oejiyRjG+R0bcNgnbQvQSVjBCbMt2YpsqseIGzsIcdLerp4clukJi1cZgXOGPmdRHm3YOkb7XQnQvTYOROQ7WVvdsR5KROQMnlsUs2B7TqYjpbI81naWuiOmErbZnGJyaYpDLYrBbMdhjMShQz/6Fw7pp9Ltn4PxUheilVNwgXlFDdONWTH8IZ142zgxJWv3Nzp1DgnFlL4muaXidmnQOEaKHjch29mjYdukwOLP/vItpKajZqdRje0xLhGudGmPXf/DynRaD3ckP1ehri3yXwtEoj9ds8OHUh3fhI+q4Tg/bsVgMXddxOiXHC9EWZVkYVfVEN2zFrPbJyY/9TGrVRsPCF7HwxRQRQ2ElZq/TnDo5siS6EL3G5EIXr22I9Nj+SwpcTcJjb2cp8JkaVTGN7fHGgVqnImpfZqi2H1Ca3jRANw7Vg9wWnn4yAdGhRPzJJ5/w4YcfcuGFF5KdnQ1AXV0dN9xwAx988AFOp5OLL76Ya6+9tlMHK0R/YdT5iZVtI15RAw5dTn7sJwxLEYwpArEdtdeGqXDo9ux1vsxeC9Frjc9zMjhT77F+24eM9PTIfltiKqg3NKrjGtVxPfGhNfu8qzCtoyh2txSo7VCd7VADYsKhQ2H74Ycf5uuvv2bevHmpy/7whz/w7rvvMmrUKILBIIsXL2by5Mkcd9xxnTZYIfo6MxAmtmU78U1VWIbUZfcHUdMO2L6o3ZovYihQCo9Dl1UbhehDNA0OHelhyepwt+87P01jcmH3/C8wFNQmAnNVTGNrKANfvYcaY0eQrolrWM1OQGxOQ5HrVBS7EoHaYzEkMSs9xG1RuFOpx0DVobC9Zs0a9t9//9T34XCY//znPxx88ME89NBDBAIBTjnlFJ588kkJ20IAVjhKrLyK2KZKVCiCIz8LZ7qksD5JKcIGBOJ2az57YRm79jpdZq+F6NNmD/Xw+oYItZHu7Upy3Li0TgmlMQtqjcTMc2zHDHRVo9npOkNDtSNI6yjyXYpClx2aW/qc71S9pm1ib9ahsF1bW8ugQYNS33/++edEo1HOPPNMADIzMznyyCN55ZVXOmeUQvRRVjROvKKaWNk2TH8IR04mzuFFPT0ssZuSKzcGYhZ1YYtAXBEzLVyJ1nxZUnstRL/gcWqcOyWTez/xd9s+9yp0csCw9peQBE0oj+psiTrYEtXZErW7d1THNerbcdIh2J08Cpx2YM7V4wz26hS6mwbpPKfMSneWDoVtj8dDMBhMfb9ixQo0TWPWrFmpy9LT0/H5fHs+QiH6IGWYxLfVEiurwKz1o2eny8mPfUzctDuG2PXXFqFEaz63QyPdqZPn7T9dA4QQO0wqdHLwCDfvbY51+b7SnHDOlIxmL9ZNBZUxjc1RRyJY7/io3UWgdmttz0YXuhQ5ToWu2f2sg6EgGenNxyA6T4fC9siRI3nnnXeIxWJomsZLL73E+PHjKSraMWO3detWCgoKOm2gQvQFqZUfN1YQr6xDT/fgHFaIpsv7bL1eojwkGLdoaNQ9BKXwOnWyZeVGIQaMMyZlUBWyWFfTda0AnTqct182200Xn9bqTUL11phOvI2TD/OcFsM8FsMTH8M8FsWJIJ01QE467Es6FLa/+93vcsstt3DMMcfgcrnYsmULN9xwQ5NtvvjiC8aNG9cpgxSiLzB9IbvDSHkVSgPXkHw0h6Sz3ixu7uh9bXcPsXtfS/cQIQY2twN+NC2TB1YG9jhwKyDucBJ3uog5XcSdTuIuFw6vm5sqWv8D49IUwzw7QvUIj8Vwj8kwj0U/asc9IHQobJ911lmUlpaydOlSwuEw55xzDhdddFHq+g8//JDNmzfzve99r9MGKkRvZUXj9smPpRWoUBRHYQ66193TwxItMCx79joct2iIWgSiioipUErZyzU7dTxSHiKEALxOjcumZ/Hs2iDv7qKkxNI0TN2B4XAQdzgToXpHuG5xqjnRYbDAuWN2erjHYoTXZLjHokg6efQbmlKq00+5jcViRKNR0tLSZHGbPaCUor6+ntzcXKn17UIdPc7KNDG21xEtrcCs8aHnZODIzujCkfZhSuH3B8jKymz5n04X7TNqQsRQhA2FP2qf2Bg1FErZb+F6nRpuh9ZvZq+l/rLryTHuHj19nJWCkAV1hk69obGq1uLNLXF8lo6pO1LB2tTt79UuSgU1y8JlGgzzmMzK1xiVZs9UD/NYpPfg6/uePs6dqWZDJROO2Ivh44t7eijNdEkSdrvduN0ysyf6L6PWR6x0G/FtNWhul9Rl9wJKKSIGhA1FKG7hi9ghO2bZM9cuXcMjy6ILMWApBX7Tbn1XbyQ/69THd1xWnwjXdYbWvGZ6F3MpmmXhsCxcZhy3EcdlGLiNOBkqzgHFDg4f52VYlrxzNhDJtLMQu8EKRoiWbSO+pRJlKZxFuWgu+TXqCclwHYorgnGThqj9fdy00DRwJ8J1lkNH7+MzNkKI9olYUBbRKYs4KI3obI7q1MX1RJDWMNvRX7qxNF2R57TIdSrynHYXj1ynwowbNATj+IMGdYEYkYiBpuzu1Q4NhmY5GJHnYHSuk6mDs0hzyh+hgaxdKWHSpEkdKmPQNI3Vq1fv9u2E6G1U3CBeUUN0w1asQBhHQTZ6Wu9ZWnegSLbjS57QGE6c0KjrGh5dI8Op4ZaaayH6PVPZvaZLIzqliWBdGnGwLbbrBVsyHTsCdPKjcaDOde343tPmu2A64AbcxE2IW3aNtcuhyQt80US7wnbj/tlCDCRKKYyqeqIbtmJWN6BnpdklI329uK2v2LkdX+KExuRy6OlOTU5oFKIfUwqq4lqjQG3PWm+K6hittMbLdVqM8lqM9pqM9Njt8BqH665Y8dDlsEO26ERKQSgC/iD4Qzs++4IQCNqfG12ercCc/BPoqzXbjz/+eFePQ4hep0krP13DOaQATYp9u9zOqzUGE6s1OnSNNKdGgVvKQoToj3yGlgrUpREHG0JeNsdchKyWf+G9umKU12SMd0e4Hu21Q7XoZSwLgsngHNwpOCc+N77cn7jctNq9C6cG1rbaLnwQHSfFpkLspEkrv3AMR2E2ukdO+O1KhqUIxFQqYIeMHas1pjl1cmX2Woh+I2LBpkSgLovobEx8bm1lRAeKEV6LUR6L0WkmoxOfi11KXnj3hLhhB+FAyA7GgUQ4bhKcQ02DdTAMVgdfBHlckJXR6CM98ZH4PjsDMtOpj2sU7Dehcx9rJ9njsG0YBqWlpfj9fjIzMxkzZoy0+xN9krKspq38cjNx5mf39LD6rahhB2x/zKQuIqs1CtGfxCyoiNmrIpYnVkQsj+psjerUtLHc+CDXjhnqwVqIiTkuhnusLin9GPAsCwIRtOoaMKqbh2d/o+8Djb6PRDu+zzRPo8DcNCyTlZ74OnFZVrr9tcfVvoezobLj4+piHU7FDQ0N3Hnnnbz44otEIpHU5V6vl5NOOonrrruOvLy8ThmkEF3NrPMT3lCJsb1WWvl1EYV9cmMoblGfqL+Omha6ppHmktUahehrDAXbYnaALo/qlDf6uire9omKOQ6L0WkWoz12sB7ltRjlNVM9p+3+zxEyvI4+3/+5W0SirYfjxuE50Oj7YBjNUrvqaNgyTYOMtEQgTt8RoJuF5cRlWYlAPUC7d3XoUTc0NHDOOedQWlpKbm4uM2bMoKioiOrqalatWsWSJUtYsWIFzzzzDLm5uZ08ZCE6jxWJEd20jdiqb3B506SVXydL1V9HTbbUWVjOOIZl97z2ujSyPfKPVIjezEycoJiaoU6E6vKog+0xDauNQJ2u28uND3VbqWXHh3oshrlNsuTP7O4LhqGiGrZVQ0UVVNTs+Nof6vDdKq8bsjLQkuE4s1FQzmoUpJPfZ2ZAuheZHWm/Dj3dFy1aRGlpKZdddhmXX345aWlpqesikQj33Xcf9913H3/961+56aabOm2wQnQWZVkY22qJbCjHrAugpXtxDSrovtUN+zHLUgTi9oqNtRGLUFxhmgrDUOSnaXid8gdaiN5EKagzNLZEdbbsVPZREWu96weAR1N2gPZYDHPbYXpoYtnxHIeSP6m7q0mgrt7x9bZquxa6LU5H02CcnHHOTGtaupH8PjMdlZFOMB4lIz2D3WxBLnZDh8L28uXLmT17Ntdee22z67xeL9dccw2ff/45y5cvl7Ateh3TFyS6sYJ4eRWax4VraAHRYMdnBYTdIjEQB1/EtAN2TGEqRVqi/tqpQzCk4ZHWWEL0mKgFWxOBeseHgy1RvdWOHwBOTTHEbQfooYlAnZypLnBKoN5texKo87JhcAEMKUp8LrS/Ls6366F394ehgPge1GCLdulQ2K6srOSkk05qc5v99tuPTz/9tEODEqIrqLhBbEsl0Y0VqEgMZ2EumttpT+uI3aaUIhgHf9SkNqwIxC0MU5Hu0snx2gF7x7Y9N04hBhKloDqutRio26qj1lAMciuGJ8o8hjUK1IUue7EWsRuCYdhWY5d4JD9XtDNQ52bB4MJEkC7c8fXgQjtQiz6nQ2E7KyuL8vLyNrcpLy8nKyurQ4MSorMZtT6iG8oxKurQc9JxDi3s6SH1SZalCBrgj5jURhTBuIVpKTwOTTqICNGNwibNwnSyBCTaRtlHpkMx3GOH6eGNPoa6Ldz9ocIrHLHD7bZq+3N1PZim/SpEAcqyW9ApEpeppteplq5LfCRb11kKUE0/J29nGFBZu3uBusnnAkjzdt3xET2iQ2F7//335+WXX+aMM87goIMOanb9Bx98wMsvv8zRRx+9xwMUYk8owyRato3Yhq0o08I5NB/NIYlwdzQpEQnbNdiGtaNERAK2EF0jaEJFon66ItHpI/m5rfZ5DhRDdgrTw/pTHbU/tKPsonGw3lYNDYGeHt0OuVk7Sj0GF9lBOvlZAvWA0qGwPW/ePN566y0uueQSDj/8cGbNmkVBQQE1NTWsWLGCt99+G6/Xy5VXXtnZ4xWi3axghMj6zcS3VKHnZuDMTO/pIfUdShGKgy9mUROympSIZHskYAvRGZSCBlNLBWo7TGt2uI7q+My2p5pznc3D9HCPxWC3hbMvB2qloM6PXrYF6oKwfadQHQy3ffvsDBhUYM8UF+eBy2Wf/KdpO30Amk5qZRxdAzT7c0vbtnp98r4T91WYa+87XQK1sHUobI8fP56HHnqIm266iTfffJM333wTTdNQicLMkSNHcttttzFhQu9cyUf0f0ZVPZF1mzDr/DgH5Us7v3aKmQpfVFEbNmmIKuKmwuNAZrCF6CBLQU18R4DeeZY63MaJiQB5ToshboshHvvzULfFEI9dCpLZl38nTQtqG1qend5egxaJ0eb0SH62HWiToXpIAQwqtGeSM9LauqUQ3a7DCWT69Om8/PLLfPrpp6xZs4ZAIEBmZiaTJ09mxowZaH3+fSrRFynLIla2jej6chQK57AieS7uglIKf0xRF7ZPdAwbFk5dI8Ol4/HKsROivYImfBt2sC7sYH3IwcaIzraYTryNGmoNRZFLpQL10EafB7ut1CIvvV7caGHJ7p2W7W58XW0DGGard6c0DVWQgzakCG1wwY665kEFMCgfvHKioOg79mi6T9M0Zs6cycyZMztrPEJ0mBWJEV2/hWjZNhw5GTizpGykLXFT0RC1qA5ZNEQsLKVId+sUpctCM0LsStiEDVE7VK8P66wPO9gSbTkZO1AMTsxID0m0zkvOUg/qjScmxuI7gnIqNAebXpYMzYEg+Dq4hLfTYbesG9xoVjoZqIvyCUn/Z9FP7PF764ZhUFpait/vJzMzkzFjxuB0ylv2onuZDQHCazdhVNXhLM5Dd7t6eki9Vjhuz2JXhi1CMQuXQ5M6bCHaELFgY9jBurDO+pCDr4NplMedLbbRK3ZZTEg3KUkzGZdmd/0o6i2t8+IG1PvtWeU6H9QkPtf6dlxW2wDhDvZd1nV7wZSdl+xuvKBK8iMvCwrzWl+FUPo/i36kw6m4oaGBO++8kxdffJFIJJK63Ov1ctJJJ3HdddeRl5fXKYMUoi3xihoiX2/CCkVwDSlEkyVkm0mWitSETGrCiphpkebSKUx3pM4NEkJAzIKNEXum2p61dlAW0VtclrzAZVGSZjIhzWRCusn4NItcZw80lbcse9a5xgd1Dc3Dc/L7XbWja8yhtxCSGwXnJoE6cVm61w7cQogmOhS2GxoaOOeccygtLSU3N5cZM2ZQVFREdXU1q1atYsmSJaxYsYJnnnmG3NzcTh6yEDZlmkRLtxH7Zgu4nLikd3YzhqWoj1hUBS0aohYKRaZbJ9cr09hCJGesN0R0vg3bwbo00vLy5LlOO1iPT7MYqQeZkuuiwN0NwTocTQTmRqF55zBd57NPOGwPp8NehTA/J/E58XV+o8tys+zgLPVkQnSKDoXtRYsWUVpaymWXXcbll19OWtqOM38jkQj33Xcf9913H3/961+7dbn21157jSeffJLVq1cTDocpLCxk6tSp3HDDDQwZMiS1XSAQYMGCBbz66qtUVVVRVFTEMcccw1VXXUVmZma3jVd0nBWNE1232a7Pzs3EkSlnnzcWidsdRRqXiuRIqYgYoJSCWkNjQyJYbwg7+DZsdwZpqRQk22ExIc0uB5mQmLkudNn9qZWCYChKxp52ODJNqA+0EKR3+rq9JR2aBjmZzQN03k5BOitdZp+F6GYd+muxfPlyZs+ezbXXXtvsOq/XyzXXXMPnn3/O8uXLuyVsK6X41a9+xTPPPMPIkSM54YQTyMjIoLKyko8//pjy8vJU2A6FQpx//vmsWbOGgw8+mBNPPJG1a9fyyCOP8NFHH/Hkk0+Sni4n1vVmpi9EZG0Z8cpaqc9uTCn8cagJGdSEFBHDIl1KRcQAYyp7ZcUNYZ0NEQffhh1sCOs0tNKzOs9pMS7NYozXDtUl6SbFrj1c+CUah+o6qKm3A3NN4yCdmImu9+9YkXBX0jyNZqJzoKCFIJ2bZc9aCyF6nQ6F7crKSk466aQ2t9lvv/349NNPOzSo3fX444/zzDPP8P3vf59f/OIXOHZaIdAwjNTXDz74IGvWrGHu3LnccMMNqcvvuece7r33Xh588EHmz5/fLeMWu8+obiC8phTLH5L67ATLUjREFdUhk7qIvXx6plsnR0pFRD8XNGFjxA7TGxPBuiyiE2uhDERHMdxjMTbNYqzXZGyayVivRZ5rN0tBlLJrnyvqoKYOqursJcGr6uyAXVXX/tpoXbdPFGwSonN2BOtkqJbVBoXo0zoUtrOysigvL29zm/LycrKysjo0qN0RiUS49957GTFiBD//+c+bBW0g1R1FKcWSJUtIT09vtrrlZZddxt///neWLl3KVVddJb2ZexmlFPHyKiJrN4FSOIcUDPifUcxUNEQsKoMWvpiFDmS5ddzSDEj0EzELKuM6VTEt8VmnMm5/vT1m97BuSZquGOM1UzPWY9NMRnstPO15bW6Y9ox0KkDXNw3S1fVkxuK7vh+vx15JMD8HCrKbhuhksM7ObL0bhxCi3+jQv+X999+fl19+mTPOOIODDjqo2fUffPABL7/8MkcfffQeD3BX3nvvPerr6zn99NOxLItXX32V0tJSsrKyOOiggxg1alRq29LSUiorKznkkEOalYp4PB5mzpzJ66+/TllZGaNHj+7ysYv2UaZJdMNWot+Uo6d7cOQM7Lr6cFxREzapClmE4xYeh0aeV8cp/7NFH5JcqjwZpCtjOlVxjcqYbgfruEa9sesndaHLnqkel2YlZqtNBrtV09IpM9GtoyFgzzo3BBJfB3ZcVu+3w3Sdzx5cK5J3q3Kz0Iry7EBdlGe3sWv8fUaanGAohAA6GLbnzZvHW2+9xSWXXMLhhx/OrFmzKCgooKamhhUrVvD222/j9XqbzR53hVWrVgHgcDg45ZRT2LhxY+o6Xde5+OKL+dnPfgZAWVkZQKtBOhnMdxW2VRt/iDtTcj/dtb/eKHkiZKxsG878LPR0b5v/CDsieXdK2au59VaBuKI6aFIdtogainSXRmGanprh781PE5U4rgoFbaymJ/ZMbz3OVTGN1SEHq0NOtkR1KmMaVfGWyz125tUVxS67V3Wx27K/dloMNoKMDDeQGfRDRSIw+3aEaNU4WAdCaLvxC6KcjubhuTAXCvNQhbmE0t2k52Szy9VWevHvZG/XW5/L/U1/Os4KOy91d2Zqz7vsHQrb48eP56GHHuKmm27izTff5M0330TTtNQDHDlyJLfddhsTJkzoyN3vlpqaGgAefvhh9tprL5YsWcK4ceNYs2YNt9xyC3/7298YMWIE5513Hn6/H6DVjiPJy5PbtaahoaFbf5gNDQ3dtq/exApFiK/bgrm9FkdhLpppgD/QZfsLBLruvjtKoQjGoTpsURdRxC3IcEGGUwMDQsau76M3CYVCPT2EAaEnj7OpYFPMydcRN2sTHzVG6+cP5DlMCp07PopcJkVEGRyoo6ihlvTaBvSaevSaBrTaBvtzTQNaNLbbY1OZ6aisdFR2hv2RlfycjpWTicrPQRXkoLIzdtmxQ57L3UOOc/foD8c5Go4Q8Pmor3d3637bs6ZMh6s7p0+fzssvv8ynn37KmjVrCAQCZGZmMnnyZGbMmNFt9bTJ0Otyubj33nsZNGgQADNnzuSee+7hlFNO4eGHH+a8887rtH3m5OR02n21RSlFQ0MDOTk5A64+2WwIEC6rwRGM4Ro/Eq2FWvzOohSp529vOcyWAl/UoipkURs2sRTkZel4nb1kgLtJoQiFQqSnp6PJ2stdpieOc9iEr8MOVgftmes1IQdhq+m+dRRj0yz2SjcY5zUZEg8yqKGWvIZanDX1O2qjqxOf63ztmolW6V673V124iMn8ZGd0fzyrHRwONDYs9W/5bncPeQ4d4/+dJwjaUEys7N75foue3QqlaZpzJw5k5kzZ3bWeHZbcjZ6ypQpqaCdNGHCBEaMGEFZWRk+ny91wmZrM5jJy3d1Ymd3B19N0wZU2Daq6u2OI8EIrqGFaF3cEzZZOqJp9HiNpWUp6qOKyqBJfcRC0yDT7cDT1096TLw9qaH19CHu37rhONfENVYHHXyVCNffhpuvrphlxTkgWsXU4DYm+KoYXFeFq7IGttdAZR1E2tE72uVMlW7Yn3N3lHYU5UJ+LpqnB9p+ynO5e8hx7h796Djb/8J7Z17q0L/wo446iosuuogLL7yw1W2eeuopHnzwQV5//fUOD649xo4dC7QekJOXRyKRVE12aWlpi9sma7obn1QpulesvJrImlJQCteQgp4eTrexLEVdJBGyoxYODVmERvS4kEmqV/XXIZ3VQSfb4/aL34xIiMF12ziorooJDZWU+KsYVldJbk01zpr6Xc9MZ2fsCNKpEwxzd4TqdpRyCCFEX9ChsF1eXo7P52tzG7/fz9atWzs0qN0xe/ZsADZs2NDsung8zqZNm0hPTyc/P5+ioiKKi4v57LPPUm+bJEWjUT755BOKi4slbPcApRSx0gqiX29G87px5A6MjiNNQnbExKlLZxHRMwImfBt28E3iY3N9jHhVPUUNdRQ31DKyoYb966oZUlfF8LoqMsK76CXtccGgAvtjcAEUJz/n24Ha0711lUII0VO67M3pQCCA2931f0xHjhzJIYccwrvvvsuSJUs4++yzU9ctXrwYn8/HKaeckuq1ffbZZ3Pvvfdy7733NlnU5v7776ehoYErr7yyV74F0Z8p0yT67Vai32xBz07Hkdn/V/BsMWSnOSRki25RH7XYVBGgqsKHb1sDRlU93lo7VE/11XJMQy1ZkXacMJWT2TRQN/6cm9XjZVlCCNEbtDtsf/zxx02+Ly8vb3YZgGmabNu2jeeee67belX/6le/4nvf+x4333wzy5cvZ+zYsaxevZoPP/yQYcOG8dOf/jS17dy5c3njjTdSK0nuvfferF27lrfffpvJkyczd+7cbhmzsKm4QWTdZqIbK3AWZKOneXp6SF3KtBT1EcX2oEmDhGzRxVQgjG9NGf7VmzAqatCr68ioqyPX18C+ytr17dO9aI1rppsE63xZ2VAIIdpBU+3sYTdp0qR2z/gqpdA0jdtuu43TTjttT8bXbhUVFdxzzz2888471NfXU1hYyJw5c7jyyispKGha++v3+1m4cCGvvPIK1dXVFBYWcuyxxzJv3rxuWfWyvZRS1NfXk5ub2y9n261onMjaMuKbtuMozkXvqbeVlcLvD5CVldllM3GGpaiPWGwPWDRETVwOjSz3wCkXUQqCoSAZ6Rky2dlFLEuxbXMdNf/7Bte35eR+u5Hi7RXorfyJN3SdQG4e8YI8HIU5ZAzKxVOcu6OGuiAX0iVM70yey91DjnP36E/HuWZDJROO2Ivh44t7eijNtDtsL1iwINVL+95772XWrFmpeunGdF0nJyeHAw44gHHjxnX6gAeS/hy2rVCE8OpS4ttqcA3KR3P1YLuNLgzbcTMRsoMWvqiJOxGyB9oKzf3pD3pvELegLGhR/XUF5tpSstZvZETZBvICzc+lKc8vZtPosUSHDSZ9cB4FQ3IYMiSL9PwsWSq8A+S53D3kOHeP/nSce3PYbnfCueqqq1Jfr1ixgjPPPLPbZq1F/2IGwkRWl2Jsr8U1tKBLe2j3lKihqA2bbAtahGIWXqdGQZpDso3YbcmOIJuqw0TXbCJ9/UaGlW5gQnkp4414k23juoMtw0dSN24MauJocvYexYhBGQyT550QQvSYDk0nPv744509DtHLKKVQcQPN5ezUWXXTFyS8aiNmnR/n0EK0fpY+o6aiJmiyPWgRMhTpTo2iDAd6H58xEF3ItOxlxmt9BKr91FT6CFT5idX60et8pPsaGOqvZ0oLs9bB9Ayqx44hXjKGzL1HUThxGEVmjNH9YJZKCCH6i76+VIboRKY/RP2S/1L791cIr9oIhonmcZE+cxL5Fx1HzsmHoO/BIhJGvZ/wqg1YvhDOIfldvlhNd4qZippQYiY7rshwaRSn6xJ4BrpIFGoaEqsj1kNtPdT6ULU+jFofVp0fV4MvVVedmfhoTcOgYiITxuCdPIrsvUeTMayIjEZPMqWA0O4vYy6EEKLrSNgWANQ98zrlP/0rlr9puy8VjRN870uC731JxeCHGLHoerKOmLbb92/UNBD+aiNWOIpzSEG/qUGPJ0J2RaJcJN2tS8geKOIG1NTbIToZqFPfJz4C4RZvqgGNX7aamkZ9Rja1WTkEc3JQudm4CrLJKsqioDiLzMIsKMojJyuDnK59VEIIITqZhG1B1aJnqbj5gV1uZ2yrZeN3f8moh24k5+SD233/RlW9PaMdi+MalL8nQ+014qaiNmxRETQJxizSnTrFGQ4J2f2NUtAQgC3bYfP2xOdtsLUK6v3tuouIx8v27DyqsvOpzs6jJiuXmqwc6rNy8BRkk1eUyZCidMZmaoz1mqT1v1MYhBBiQJOwPcD5l3/SrqCdYphsuuwOJowbhnev0bvcPL69lvBXG8G0+kXQNiw7ZG8LmPgTIbsoXWqy+zyl7PC8eduOUJ388LexuIvbabfIK8gllJdLeVY+69IL+NxTyOasfKqy8wh57UWahrpNpmaaTEw3OSDNZKTHwpWqpNp1z2shhBB9k4TtAW7b7X/f7duoSIzKPz/DyAd+1uZ28YoaO2hr4CzK7eAIewfDUtRFLLb5TXxRizQJ2X1bTQN8XWp/fLPZDtXBlks+0DR7AZfhgxp9FBMoKOB/WjafBVx8FnCyLdb0HIRMh2J6psG0zDDTswwGu9vVZVUIIUQ/I2F7AAt9to7wZ+s6dNuG598jfmsdruK8Fq+PlVcTWb0RHDrO/Ow9GWaPsixFbUSxPWDSEDXxOKS7SJ9jmFBWsSNcf11q11XvTNdgcKEdpkc0CtZDi8HjImjC6qCTVUEH/ws6WL/ZgcWOJ4IDxeQMk+mZBtOzDManWTjkeSKEEAOehO0BrOG5dzp8WxU38L30IQUXH9/sutiWKjtou5w483rPipy7Qyl7WfVtAZO6iL3io/TJ7iP8IVhXCl+XJWauN0G0aT9qdA1GD4WSUVAyGkYNgaFF0GhxJZ+h8VXQwZc1DlYFnXwb1puEa4ARHjtcT8sy2SfDIF3qrYUQQuykXWH7wgsv7NCda5rGo48+2qHbiq4XK6/eo9vHy6ua32ciaGtuF47ctpqY9VJK4YvZIbs2bKFrkJ/mGDDLqvdqSkEgZJeA1Pmg1md/rmvY8XVt4uudZaTBxFEwcbT9MW4EpHmabFIb11hVbwfrL4MOSiPNk/MQt8WUDIN9MkymZhoUSWmIEEKIXWhX2F6xYkWH7ry/tHfrt6w9OylL7XT72JZKIqtL+2TQtrCXVa8KWdSGLdAgx6PjkpnK7qcUbKuB9WWwrgxKt+4I0YbZvvsYVpwI1omAPbQIGvV1VwrKozprgg5Whxx8GXBQHmv+wx7hMdknw561npJpUuiScC2EEGL3tCtsr127tqvHIXqAs5V66/ZqXK8d21JJ5KuNaF43jpy+E7Qtyw7ZG+stYnocHY1sCdndKxiGbzfDuk12uF5f1nYHkOwMyM+BvGzIz058zkl8nQPF+ZCV3uQmEQvWBRysCTlYHXSwNuTAZzZ9u0JDMcZrpYL1lAyTXKeEayGEEHtGarYHsOxj96dm8fMdvn3WMfsDjWa0+1DQNi27JrsyaNdkx2KKQdk6Lqe8G9OlLAu2Vtr11MmZ6y2ViaUPG3E6YOxwu6Z6/AgoyrPDdG52k7rqligFlTGN1UEHa0JO1oQcbGih3tqlKSakmeyVYQfrvdINsuQvohBCiE4m/1oGsMzDp+IeN5TYt1t3+7ZZR83AM2ZIoka7FM3j6hNB27QUdRFFZaK7iFPXyPPqRNFwSuuIzheOwPrN8HUp3tXfwrdbIBRpvl1xvh2sJ4y0P48eustQnWQo+Dasszro5KuQgzVBB7VG8yL7ApfFXukmk9NNJmeYjPOajfpcCyGEEF1jj8J2NBrlyy+/pLKyklgs1uI2p5122p7sQnQhTdcpvua7bLnqL7t926Jrvtv0ZMheHrSTfbK3BywaIiZup0Z+oruIUhDt6QH2B0pBZW2jFntlsKkCLIVGoz82HheMT4TqZMDObX/XGr8Ba0JOVidKQtaFHERV0xdKDhTj0ywmZRipgC0nMwohhOgJHQ7bTzzxBHfffTd+f8tLFiul0DRNwnYvl3fedwh9to7ah19q922G/OYSPGOGEF61odefDKmUojpsUeE3CcQsPA6NwnRp4dch4SjU1Ns9qlOfG3Z8X1MPkRZedBfnoUpGExszBPeUErTRQ8DRvqJ4pWBbTGN1yMlXQTtcl0Wb3zbLYTE53WTvDLssZEKaiUd+xkIIIXqBDoXtV199ld/+9reUlJRwxRVXcPvtt3P00Uez77778sknn/D2229zzDHHcOSRR3b2eEUn0zSNYXdcgTMvi8o//6N57WzjbT0uhv7+UrKPO4Dwqg3gdPTqoB0zFeU+g20BE49Dp1BWfGy/uGGvrPjVt7DqGygth0ArKyw2lqy1TnYBKRlln7yoIB4K4k7PgF38DKIWfBFw8rHf/th5ZUaAYW47VO+Vbn8e7rHkZyuEEKJX6lDYfvTRRykoKOCZZ54hLS2N22+/nUmTJnHppZdy6aWX8sILL3DjjTfy/e9/v7PHK7qApusMvvkicr87h5q//Zu6p1/H8gVT1zsH5ZF/wXHkX3Q8mlMn/OWGXr8yZCCm2NRgUBc2yfM6cMvZCW2LG3Y99Vff2AF7bSnE4s23S/dCQQ4U5EJhbvPPRXntrrVurCKqpcL1FwEnsUZlIc7kiYyJYL2XdAkRQgjRh3Qognz99dccf/zxpKWlpS6zGvVcPvnkk/nXv/7Fvffey+zZs/d8lKJbeEtGMOz2yxn627nENldihSI4sjNwDS9C03WMqnpCX34L0HuDdqJsZFO9SUwpKRlpiWFCRRVs3g6bt9kdQdZubL7KYnYG7DUOpoyDSWPskxjTvZ0yhJgFXwUdqYC9ZafSkCKXxawsg1lZBvtlGqRJK0YhhBB9VIfCtmEY5Ofnp773er34fE1XbZs4cSL/+Mc/9mx0okdoLieesUObXGbUNNilI6aFsyi3Zwa2C4alqAgYlPsStdneAZ6yLQsqqu1AvXnbjnBdUd3y4jBZ6bD3uB0fIwZDJy1MpRSUxxysCblZGXDwRdBJxNpx3w4Ue2eYdsDONhjpsTpr10IIIUSP6lDYLi4uprKyMvX90KFDWbNmTZNttm7diqOdJ0GJ3s2o8xP+aiNWLI5rUP6ub9ADIoZdNlIVMsnx6HgHYr9spaC80q6xXpUoB2ltcRivB4YX24F6zLBEuB7UZJXFPdVgaHwecLDS7+SzgJOqeNN3Q/KdFjMT4XpapkGG/LkQQgjRD3UobO+zzz6sXr069f2hhx7KY489xuLFiznyyCP59NNPee211zjwwAM7baCiZ5i+IOGvNmCFo702aPuiFmUNBr6IRUG6A+dAmtDeXmMH6y8TAbt+p+5AbpcdokcMbvq5MK/TZq2T4hasCTn4LODkM7+Tb8I6qtHZkC7Nnr2ekWkwLctgrFdmr4UQQvR/HQrbxx13HH/605/YsmULw4cP57LLLuPVV1/lz3/+M3/+859RSpGVlcUNN9zQ2eMV3cj0hwiv2ojlC+EcUtDTw2kuUZ9dVm9iKEVxhqN/h7fkzPWajbB6A6zZYLfda8zltLuA7DMepoyHcSPsDiFdpDqu8YnPrrteGXAStpr+AEZ7TaZn2jPXYzQf+ZkZ/ftnJIQQQuykQ2H7O9/5Dt/5zndS3+fn5/Ovf/2LJUuWsHnzZoYNG8app57KoEGDOm2gontZoQjhrzZi1vtxDilA62UJybIUWwMm5T4Tt0OjoD/WZxsmlFXYoXr1BvskxkZdYgBw6PaiMFMS4bpklD2b3UVMBV+HHKzwO/nY52RDpGmQz3VaTMs0mJ5lMi3ToMBldw1RCoKtVLQIIYQQ/VmnNUTLyclh7ty5nXV3ogdZkRjh1aWY1fU4hxb2uqAdNxWbGwy2BU2yPDpp/aE+27Jga5Xdfu+bzfDtZru3dcxoup3bCRNGweQxsNdY++s0T5cOzWdofOJ38LHfxad+B35zxwsbDUVJun1i4/5ZBuPSpN+1EEKIrmdaELcUcctukGDt+iY9pkNh+8ILL+SMM85oc3XIF198kX/84x889thjHR2b6AFWLE5kbRnxbbW4hhSgdeIJc50hEleU+gxqQhb5XgeuvnpSXSBkL2m+ZiOs3wQbttgrNO4s3QuTRsPksfbHuOEd6mO9O5SCb8N6qi3f2pCjSe11pkMxI9M+sXFGliE9r4UQQnQJS0HcBEMpDFNhWGAmFt9zaBpOXcPlgEyvjjfTQba7hwfcig79116xYgX7779/m9ts3bqVjz/+uEODEj1DGSbRrzcT31xpB+1e1k0mEFNsrI/jj1oUpvWx/tnV9XY5yNqNsKbUbsG382qdbheMHWbXWY8bAeNHwOCCTu0Q0pqgCSsDdmnIJ34ntUbTfY72muyf6BwyOd3EIbPXQgghOoFpgWE1D9T2m+oaLl3DoUO6WyfNCWlOHbdDw+Wwg7Zbt1fDjocdpPXSDgldNkUWDodxOmXZvr5CWRaRbzYTK92Gc1A+WheeVNcRdWGL0nqDmKUoSu8DJ0LW+Xa04PvyG6isbb7N0CJ7sZiJo2D8SLsVXze+wNkW03i/wcUKn5NVQQdmo9lrr66YlmkvKjMzy6DILbPXQgghdp9SjcK0BaZlf7aU/Z6plpihduiQ5tJJd4HXqeNKzFq7HRouHRx9uEax3Wl469atTb73+/3NLgMwTZPt27fz8ssvM2zYsD0foehySimi35YT/WYrzqIctN60trlSVIUsShtMNBQFab3zVSvRGPxvHXy53g7XW7Y3vV7XYcxQuxRk0hi7NCQ3q9uHWRbReb/ByXsNLr7d6eTGYW6TWdl2wJ6SYeLupYdaCCFE75EM06ZSiVlqhaHsRgaggQYODZyahtMBGR4drxM8Dj0xO22H6b4eqNvS7lQ1Z86c1Ilymqbx2GOPtVmPrdT/t3fn8VHV9/7HX2eZNZN9Yd+RXVAEXHBF6l6rVrS1br2lWhW9ttdaf3bxahd77aIVaUVtq9bauqDVurcuoCibFBEFASXsO9kms5/z/f1xZiYZkkASMskkfJ6PR0hy5szMmW+G5D3f+ZzPV3Hrrbce+hGKrItt2kl03VbM4nx0b+4UPCml2F5nsbnWwm1q5Oda+gtH4T+r4YOVsHx15nLnmuaE61SXkNFDwNcxS523hVKwPqyzsNbF+zUmmxsti66jGJdncXxhgin5cfp6ZPZaCCFEJstOftAwM20lZ6Ybh2lD0zCMZLmHAV6XjqmDS2+orXYlSz4ON60O2xdccAGapqGU4h//+AejRo1i9OjRTfbTdZ3CwkKOO+44Tj755A49WNHx4tv2EF2zET3fh57X+WGwJbat2FKXYEutRb5bx+fKkf+cNUFYuRYWfQz/WQOxRgG7vBgmjoYjj4CxQyE/r0sO0VawJmTwXnIGe1e84UWKqTnlIVMLExxbICc3CiHE4cyyFXFbEY7bWGhOkG40K61Q6JqGoWuYmtNtNs+j40nOTJu6Mytt6s6stfswDdMH0+qw/ctf/jL99ZIlS7jooou48sors3JQonMkdlcTXr0R3C6MfH9XH05awnZa+20PWhR6DDxdWdUSjjg9rj9e75SIbNyeeXmvUjh+PBw33ukU0kW/ZCwFn9Y3BOy9jU5w9GiKyQUJphbEmVwgy6ILIURPphTJwOzMRlvJ2WhbQUI57xprgAJ0DeIJMF1gmuA3dTwGeEwd0wCXpmEYGi7NWR/NdIqsu/gRdj/tijFvvfVWRx+H6GSJ6jrCn24A28YsLerqw0mLWYqN1Ql21VuU+LqotV8kCu9/BO8sc9rzWft17xzYByaPcQL24L5dGrBX1Ru8V+NiYY1JVaOA7dMVxxXEObHQac/nybEKHCGEEK1nK5KlG075hqWSARpnu0qXdCiUck42NDTNKe/QweN2QrRzsmFyploHU4dwMEZRoRuXjgTpLDnkOcPly5ezevVqgsEggUCAUaNGccwxx3TEsYkssYJhIp9WYodjuHqXdPXhpEUTig01CfZ2RdBWyul3/dZiWLgis+d1r1Jn+fMjj4Bxw6Cw809sbGxXTOO1fW7e2Jc5gx0wGgL20YGEnOAohBCdxFbOnxFFQ1fX9PcoFIDCWXil0WdnH5Xcz/neTs4+J+NzcgZaQ9dBpyFAu106boPkh57c7oRoXWsI0wecjVYKZWoStLOs3WH7o48+4gc/+AEbN24Ekm9LJH9QgwYN4u677+boo4/umKMUHcaOxIisqcSqCmL2Le3qw0mLxBUbqhPsC1uU+bPcQzthwe59zoqN2/fAtt34Pv0cbcuuhn16l8HpU+CECU7Y7mKWgqW1Jq/sc7GszkwvMhMwFCcUxDmpKM6EPMv5hSmEEIehxmG3cei1U+G3jaFXpS9XyeuDlmqRqiXvBFBoaBro4EwuO+cMpvdN59jkVXUNDEBLhmdd19BxmlYZmhOeTd0Jz069tBOiDUh+LeUc3U27wvbnn3/O1VdfTTgc5sQTT2TKlCmUl5ezZ88elixZwrvvvsu3vvUtnn76aYYPH97RxyzaScUTRD7blFwdMneWYQ/FnKBdG81y0F63Ceb92zmxsVFpiIbzi0+5TLTjx8PpxzpLoefA+OxOzmK/XuVib6MTHSfkJTirNMYJBTKDLYToOdKdL5RNOK6wojY2DXXIKJWc7m0Uep0vQDUKuslwqzXE4wOGXkPT0JJlF3qyu0Yq/Oqajp68XT0dprX0185njdRNp/ZrHLxTHe1Sx+Cs19L1f2NE52hX2H7ggQeIx+P88Y9/ZOrUqRmXffvb3+b999/nmmuuYc6cOdx7770dcqDi0CjbJvL5FuKbduLqXYKWI8sv1scUX1THCcZsSv0GWWmxuWYDPPtvWPFZwza3C/qUQZ9yVJ8youVFeE44GgK+LBxA68Vs+DRksCJosiJosC5kYCf/MhQYNtOL45xdGqe/xz7ILQkhRG5KJHsxx1M9ma2mnS+cKkINj6nhNjTcunOCnpEMvrreEHjTAXa/0JsKyA3Bu5nQK4FXdIJ2he3Fixdz5plnNgnaKSeccAJnnnkmH3zwwSEdnOgYSimilTuIfb4No7wIzZUbi9YEY4ovquLUx53l1zv0d16qB/YbH8Cqz51tug6nTITzT4V+FQ3LoCtIhOrx+Ds/aFvJPthOuDb5tN4gpjIHYnxegrNLYpxQKLPYQojuIbXQSdxWxBstwQ3JumLN6bsc8DitXT2Glmwf53S+0DUIh6IU5rtkBlh0e+1KXXV1dfTv3/+A+/Tv35+6urp2HZToWPFte4mt3YxeGMiZRWvqYorPq+JEE6rjgnZ9GJZ+4vTA/ugzp58RONMhp06CC6flRP01tFweAlBs2hwVSHBUwOKoQIIKWSpdCJHD4pYzQx2znNnq1DLcRrLzRWoJbp+pO90wDM05qe9AJ+UpRRQJ2aJnaFfYrqioYMWKFQfc56OPPqKioqI9Ny86UGJPDZE1G8HjwujiEomU2qjN51UJYglFiU8/9KBdVQsvvOPMYjdeZKZ3qdOe78wTnAVnupil4MM6k1f3uVhSa6bLQ/J0xfhAggnJgD3QY8tEjhAi59jKCdaxZOlHPHnmobOwiROqS13gd+nJ0g8Nt+lcLsThrF1h+/TTT+cvf/kL9913H9dddx0ejyd9WTQaZe7cuSxevJgrrriiww5UtJ1VGyL8aSXKsnCVdn3YhEZB21KU+g+xJmJvNfzjbfj34oZZ7P4VTsA+bjwM6pMTbz9WJzRe2+fi1b3ujNUcx+clOFtOchRC5CDLdkJ1POF8TrVxdunOrHS+Tyfg1vEYTk21R0K1EC1qV9i+/vrreeedd5g7dy5PPfUU48ePp7S0lL179/Lxxx+zb98+BgwYwPXXX9/RxytayQ5HCa+uxAqGcPXJjdKJjKDta2e63FsNyz51Pj5e57TxAxg5GGZ8CSaMyImADbA9qjFvj4c39rmIq4ZWfV8qjnF2SZwBXjnJUQjR9VKz1fHUbLVyWs65dOcExVK3lp6t9pgaHkNOLBSiLdoVtouKinj66ae55557eOWVV5g/f376Mo/Hw0UXXcQtt9xCUVFRRx2naINUi7/E7ipcfXOjxZ9To92OoK0UbN4Bi1fB0lXwxdbMy8cMdUL2uOE5E7I/D+s8s8vDuzUNpSIjfRbnlcU4qTAuqzkKIbpEarY6YTknLiaSM9Yu0wnW+W6dPLeG19TTofqAddVCiFbRlFKHdPZVPB7niy++SK8gOXToUFwuV0cd32FNKUV1dTVFRUWtDszKtoms3URs3VbM3iU50XmkLqZYvy/etqBdE4SXFsCilc7CMymaBkcMhMljYdIYGND7kI9PKagP1ZPnz2v33xRbwcp6g2d3efgw2DDmk/ITzCiPcmSedVj/veqIMRYHJ+Ocfbk+xrZy3vBLqGSoVgrLVsm2d07HD7cJeS5nttpjOJ1Acq62Winq6oLk5wck7GdTDxrn+Nbd+I8egatvWVcfShPtSmLbtm2joKCAQCCAy+Vi5MiRTfYJBoPU1tbSt2/fQz5I0XqxTTuJfbE9Z1r8BZNdR2KJVtZo2za8tRSeeAmCYWebaTjlIVOOhEmju3y59BSl4IuIzjvVLhZUu9L12DqKk4sSXFweZZhPSkWEEB3DspNhWins9OIvikRyee/UQilmcsluj6lR4tLwpk5YbE0XECFEh2v3CZKzZs3ihhtuaHGfJ598knvvvZfVq1e3++BE28R37CO6djN6vj8nWvzVJ/toR5NdR1qkFNTWO+Uif38N1lQ62wf3ddr1TRwFPm+nHHNrbI3qvFNtMr/axeaokd7u0xXTiuN8tSxKH4+06xNCtE6qJ3UqRCdslQzVqRDdeMEXMNDQDSdMe0wNb3LhF1N32uq5dDD1HJupFuIw1q6wrZTiEKtPRAezaoJOiz9Dx8j3d/XhEEquDNnigjXxBCz4EN5cAlt2QijScJnXDZeeBedMBcMgV3wW0vnbTg+L6xrKpFyaYkpBglOL4kzOT0g9thCiicZhOrV6opXqR51cetwwwEyGaJ9Lx22A1wRT153grGkYhoapgaGDqYEuYVqIbiFrdQY7duwgLy8vWzcvGrFDEcKfVmKHoznReSQSV2yoThCMNRO0Y3GnVd+L78Ce6obtmgalhTB6KHzjHCgr6tyDPoDV9QZP7nKzLBmydRRHByxOLY5zfEGcvNx5PSCE6CJWsqwjVSudSNZKp5YhN5OrJpoG5Hl0vCZ4DD05G036MgnRQvQ8rQ7bDzzwQMb3S5YsabINwLZtduzYwSuvvML48eMP/QhFE0opggs+Ivj2cuK7q7HDEczSIgq/cmJXHxrRhBO0a6MWpf79gvb6zfDA32DLLuf7onz48ilOmUivUnDn1om1q+oNntzp4T/JEx51FKcVx/laRYz+HqnFFuJwYyWXHw/HFYmohWVrWMlaaS1ZK20ka6WLXBo+U8dlOL2pXboTpqVeWojDT7vCtqZpLFmyhCVLlrS4f0VFBbfccsuhHZ1oovqF99j5i8eJrtvS5LKqv/2bwvNPpPTqs9C6ILjGLMWGmgT7whZlfoP05Ew8Ac+9CfPedE6ALMp32vWdNjnnArZSsDxo8PddHlbVO/89DBTTi+NcUhGlr9RiC9GjpUo+4sm+04nkSYgNgRpAI8/ltMnzGLpTJ52slXbpYMjMtBCikVaH7ccffxxwZlWvuuoqLrzwQi688MIm++m6TlFREUOHDkXXpYC1I+269yl2/PSxFi9XoQjVf/83kU830O/u76D5Ou8kyYSt2FidYF/ICdqGpmDdZpi/DBaugLqQs+MJR8G3L4T83CoxshW8X2Py1G4P68JOXYipKb5UHOfSiii93BKyhehJUkuPJ2yVXn4cNNAaTi70uXT8LvCaTjcPl6Hh0hSRUJSiApfMUAshWqXVYXvKlCnpr2fNmsWxxx7L5MmTs3JQoqnq5+YfMGg3Fln5OTt/9Vd6/+SbWT4qh2UrNlUn2BWyKfUZGDW1MHceLPukYaeSArjqfJh6VKccU2tZCt6tNnlyZxmbY84su0dTnF0a46vlMcpcErKF6M5UMlTHbZX+ILmiq8twSjsKPDp5Lqezh1vXksG6hW4eCuISsoUQbdCuEyRnzZrV0cchDkDZdquDdkrwnRVEvrYZ74gBWToqh1KKLbUJtgctSrw65vv/gUeeh2DI6Y99/AQ45Rg4cnhOdRaxFLxbY/LkTk+6fZ9PV5xfGuOC8hhFpoRsIboTy25U/tFkptoJz6kVEp3VEZN9p3U5IVEIkV1dv+qJOKjgW8uJbdzR5uvVvPAe3u9/PQtHlKQUW+ssttZZFNXW4Lr/OVi+xrlsSD+44VKnV3YOSc9k72oI2QFdcU5hkK/2URTI/wghclLj9nlWsn1eItU+D5I9qJ1QXejR8bsaherkdqmlFkJ0BYkW3UDdmx+263rhpdldUGhH0GLz7jDF/34P1/NvOm39TAMuOt35MHNnJjtiw7+rXDy/2822WDJkG4oLy6KcXxqDaD15Rm7VkQtxuFDKeSGcWhHRahSqU2FakWyNh9OTOt+t43ORPkHRnTxB0W04JzIKIUSukLDdDST21rTvetXBDj6SBrv3hdjx4mJKX3wTvbrO2ThmKFx7MfSryNr9tlV1QuOfe9y8tNdFreWcsBswFBeVRTm/LEae4fyhr+/i4xSiJ2p2eXGcr22VLPNAOUFaJ71ComlAwNTxGA29qE2ddPs8ly6BWgjRfUjY7gZ0T/u6imSj/V9iXy07nvgX4TeWEEit+lhRAl8/C048OmfOzt8X1/j7Lg+v7XMRT54M1dttc0FZlDNL4nilUY4Qh2T/sg7LViQU2I0WckmVdjgLtYDX5XT08BjgSq6MaCSDtJFsq2dK6zwhRA8jYbsb8B45tF3X8xzRv8OOQSUsqufNZ99fXkOFomgAvUvh3JNh+rHgyo2nUnVC45ldbl7a6yaWDNkjfBYXl0c5oTCBIX/DhTioVJC20kHa+TphKxQ0WWLcNMDn1vGYTps8QweXpmE2Xl5cZqOFEIep3EhI4oCKLj6VHXf+GRWJtel6hecc1yH3b4cibP/JHwkvXwtAYugAzK+dAUeNdKarckB1QuMfu928sNdNxHb+oI/2J7iiV5SjAlauTLgLkVPSfaYtZ1bashvVRydnmw3DmZF2Gxpe0/ncuKzD0KWsQwghDkTCdjdglhRQctmX2Punl1t9HaMoQKIqyL7HXkX3efGOGujMkLfxD2Js4w52/vIJop9tRnnc1F1+PvlnTHGmqnLAtqjGvN0e/l3lSs9kH+GzuKJXlEn5CQnZQiTFLWeV19QCLopkSzxdw2vq5LnA69KdpcWNZFmHAS5NWuMJIcShkLDdTfS+45vULlhBfP3WVu1vVQfZ++A/Mra5BvSi6OJTKTz3eDjIH8/wqg3svv8ZYqn7K8hj383fpGjcYLQcyNnbohqP7fDyXo2J7RS1MNJncWlFlOMKJGSLw5tlK+IKYgknXCvlBGu3qVHk1cl36+k+0x6zhcVbhBBCdIgeGbYffvhhfv3rXwPw1FNPcdRRRzXZJxgMMnv2bN544w12795NeXk5Z5xxBjfeeCOBQKCTj/jgjHw//X9zA9t//EciKz9v123EN+9k971PEV7+Gb1uvwKthTrr4Dv/YefdT6DiCTB0tKNHsvur51I4tHeXT2hbCl7c4+axHR6iyZnsSflxZpTHODJPykXE4Se17HjMUkQTNsGwIg8bj6Hjc+n08oDPNPCaGl5TTj4UQojO1uPC9ueff87999+P3+8nFAo1u08oFOLyyy9n9erVTJ06lXPPPZc1a9bw6KOPsnjxYp588kn8fn8nH/nBGfl59L79CuLb91LzwnuElq3BDobBNDCL8knsqW7V7QTnr0Dzeel1a+aCN3Ykxt6H/0nN8wsAyDthHFx3CZW2hwKPgauL22Zviujct8XL6pDztJ0QSHBtnwhDfHbXHpgQncRWTqhOhWtLKTTNKQXxmFDsNVBundJCF16XjlvOCBZCiC7Xo8K2ZVn84Ac/YNSoUQwePJgXX3yx2f0eeeQRVq9ezcyZM/n+97+f3n7//fczZ84cHnnkEW666abOOuy20TR8E4bjmzDc+d62ie+qZuPld7XpZupeW0Th2cemO50k9tWy7dbfE/tiOwCFF5+KdsWX+aLWwu92/pB3BaVgbVjn9X1u/l3ltPHz6Ypv94lwVklcZrJFj2XZELMV8YTz2VZOV2qXkQrWOn63jje5SqIn+WK4rk4n36PnTBtOIYQ43PWosP3www+zZs0ann/+ef74xz82u49SimeeeQa/388NN9yQcdm1117LE088wbPPPsuNN97YPc6u13Vq/rnQmfJqo+oX36P3kUNJ7Ktl6/ceIL5pJ0ZJARU/uAx7wijW741jaJDn6vxxiNvw+j4Xr+5z80WkYUp9Un6cm/pFKHe3/fEKkYtSbfZitiJuKeLJGmtdc5YZ95gapW4Nv0tPLz/uMWg+TCv5fyGEELmmx4TttWvX8sADD3DddddxxBFHtLhfZWUlu3bt4sQTT2xSKuLxeJg0aRJvvvkmGzduZPDgwVk+6o4R/Pey9l1v/gqsGy5i+21ziW/aiVleRN/fzsLuVcYX++LEbEWpr/OLtHfHNH6xyceaZLmIS1OcWBjnrJK41GWLbqnxAjAJK/nZVqA00Egu5qKR59bJdzst9jzJFRTdOjJLLYQQ3ViPCNuJRILbbruNYcOGcc011xxw340bNwK0GKQHDRqU3q+lfVQnzR6l7ifjc+ojtU/CIrG7un13kLDY9sOHiK7fglEUoN9vZ0HvMiqrEtRFLcp8RqdPlC2vM7hns49aSyegKy7rFeX0ohj5jZ6pHX1MThO05GcloSYbDpcxVkoRsyFuOWE6YUPq6Wo2WuglYOr4XOAxnHprt+F0CjFbGppWPulTuynlrOEoOp6MceeQce4cPWmcFc7v4M7KaCmtqYLoEWH7wQcf5LPPPuPpp5/G5TrwEuV1dXUALXYcSW1P7decmpqaTv1h1tTUABAL1mHVhzC8DT82FY8f0m1HV28Et0nh7d8glO9h0/YadoYUJV4IhTsvFEVteK4qwPPVfhQaQ9xx/qd3Fb1cFsSgvm3r+bRLSyfUio7Tk8ZYKWchmJjlfFipmurkYi9eEwpNnBCta7iTi78YOmjJdpVYzocVh3AHHlswGOzAWxPNkTHuHDLOnaMnjHMiWE+8thbT37nRtri4+KD7dPuwvWbNGh588EH+67/+i7Fjx3bKfRYWFnbK/SilqKmpobCwEE3TCAXyscIWZn7mC4U9+X7suvaFGN/EEZR95wI8w/qyrS5BnZ2gT5HRaV0MbAVvV7t4bKeHPXGnZOXskhjX9ong1r2dcgwKRSgUwu/3N4Qg0aF6whgnLEW0UV01gMulk+fR6O3WyHNreA2nptptanRFIxClnD+agUBAKk+yRMa4c8g4d46eNM6xugj+ggJcRUVdfShNdPuw/YMf/IABAwZw4403tmr//Px8oOVXcantqf2a09knTmqalv4g9dFI3tTx1L22qM23q+f76XvPdWi6zr6wzZY6m4DHwNPie9kda0NY594tPtaFnRMgK1w2M/tEOKko0Sn3n5Ysa9DQuv0vm5zVzcY41QkktSgMOCsqugyNQq9OgUd3gnWyd3WunEydehtY05A67yyRMe4cMs6doyeNs/MQtJz5fdxYtw/ba9asAeDII49s9vJLL70UgDlz5jB9+vR0TXZlZWWz+6dqulP7dQeFF5zYrrBd9p2voOk6wZhiY3UCQwN/J3QeUQpe3uvioe3edCu/r1VE+UpZDE8OrE4pDi+Zwdp5R8nQnDpqv0unl8dZzjy1KIystiiEEKItun3Yvvjii5vdvmzZMiorK5k2bRolJSX069cPcE6MrKioYPny5em3tVOi0SjLli2joqKiW4Vt74gBBE6bSPDt5a2+jmf0IArOnELUUmyqThC1FWWd0HmkLgH3bfHxfq1TWz8lP87N/SMUu7r3iRki9yVsSNiKePJzwnJO20wF69Rqi06wdjqBuGRRGCGEEIeo24ftn//8581uv+2226isrOTaa6/NWK5d0zRmzJjBnDlzmDNnTsaiNnPnzqWmpoYbbrghJ9+GOJBe3/86iapaIivWH3Rf16Be9P35NdhobK5JUBW1KPdnf3nIrVGdOzb42BozMDXFt/pE+UpprLu/cyVygK2cGeqEUlg2WLZz8qJtK5w3ShWGrmFqGi4DAh4dv8tpr+csCiPBWgghRHZ0+7DdHjNnzuStt95KryQ5duxY1qxZw4IFCxg9ejQzZ87s6kNsM83rpt8vr2Pvn1+m5sWFqHC0mZ00AmdOoeKGC9H9XrbUWeystyjxGmT7nfFV9QZ3Vfqos3QqXDY/GhTiCL8ssy5aL9WrOp48STFhk1yuHFAapgGmpmHo4HPreExnljrVw9rUNdyG0xGku72YFkII0X0dlmHb7/fzl7/8hQceeIDXX3+dJUuWUFZWxtVXX82sWbOaLHbTXWhuk7Jrv0LJFWdS9+aH1Lz0PrF1WwBw9Sun3303YZYWALAnZLO11qLAo+PK4qS2UvDaPhe/3+YloTRG+CzuGByiRMpGRAvSC8DYiljjUA2YhhOafS4dv8sJ0y7dma126ZrTy1oWgRFCCJFDNNXZ3b9FqymlqK6upqioyGn9t2Idid3VmOVFB71ufMc+Nl9zD3YwTMF5J1B23QXoPg8AwZhi3d44tlIUerNXp12d0Lh/i5cPkvXZUwvj3DIgTBbvsl2UgvpQPXn+PMloWbL/GKfLPpILvzReUVGhMA0Nl+Z0+/C7wO/ScSfb6rkMOUmxRUpRVxckPz8gLziyRca4c8g4d44eNM7xrbvxHz0CV9+yrj6UJg7Lme2eLrZlF1uu+y12fRhX/wrK//tiNMOZvo5Zik012T8hcnmdwa83+6hK6Jia4qpeUS4qj2W9XEXkhri1X/20ragPK0LKSreYMnWn7MM0IN/U8ZlOf2q3nlxVUTp/CCGE6AEkbPcwSin2/ekV7PowZkUxve+4Oh20bVuxpSZBVdiiLEsnRFoK/rrTw993uVFoDPBY/GBgmGE+qc/uafavoY7bYCfLPVInIxoG+N06bh2KdY2iAhPTcOqo3XqqzppuP6MihBBCtETCdg+ilGLnzx4n+M5/AOh9x9V4hvVLX76z3mJHvUWJz8DIwqR2VVzj7k0+Pq53nlZnl8S4tm9Eemd3c7ZyZqrjtrNyYqrcA430yYc+U6fU3VDukaqjdqfqp5Wirs4gP8+QYC2EEOKwImG7Bwm+tTzda7vo69Pxjh6cvqw6YrO5ziLPnZ0TIteHdO7a6Gd3XMenK27qH+bUzl4JUhyy1AIv8YTzWTmd89Lhucij43M5tdRu3elPLTXUQgghRMskbPcQyrLY9+dXACj55jmUXHFm+rJI3KnT1oC8LKwQ+U61yb2bfcSURn+PxR2DwvT3StlIdxC3IGIpogmFrRS65oRoj6lR6tYaTkw0Ndw66BKqhRBCiDaRsN1D1L+/ivi2PeiFeRRdfGp6u2UrNtUmCMbsDl+4xlbw+E4PT+1yupxMzo/zg4Fh8rK/Po5op/3DtWloeA2N3gGdPHfDyoluaZ8nhBBCdAgJ2z1E/furAMifPind4g+l2B602F1vUeo3OjQ7xWz45SZfuq3fjPIoV/WOIovw5Y5USUgs4fSrVjh9qj3JcB1wG/hNDa8pM9ZCCCFEtkjY7gEiazZS96+lAOQdPy69fV9EOQvXeJ3uDx0lZsPPNvpYWufCpSlu7h9hWnG84+5AtIutIGopIgmnO4iGE6x9pk6vAHhNCddCCCFEZ5Ow3c0p22bXr/8OtsJzRH9844cBEI4rNtYkMHXwmR0XrEIW/HqzE7Q9muKuISHGB6wOu33ReioZrqMJRdRSaJqGR9cocOsUenX8Lg1vstZaSkKEEEKIriFhu5vb/duniH2xDc3jos/d16KZBglbsbE2QSRud1g/7aq4xhM7Pbxd7SJsa7g0xR2DJWh3NsuGcEIRTtjYNnhMnTyXTp+Aht/tBGy31PIIIYQQOUPCdjcWWb2R2lcWAVB85VlUP/02kfVb2K572VFaQZ9hFdjHjcHwew/tfmz48QY/n0ec4N7PbXF9vwhH50vQ7gwJ23mnIpKwQdPwuTT6BgzyPYYze20gM9dCCCFEjpKw3Y3tmfMcAEZZIfse/icANb4AW8p6492yhtoPV1H3jwXkT5tE4ZenorVjxlMp+N0WH59HDAoMm9sGhjkqYEm2y7K4BaG4TSShMHSNPJfGgEKTfLdOnluTvtZCCCFENyFhu5uqX/QJkU8rAbD21AAQNl3sKCrFsC08CWdBGRVLUPvaIuI79lD27a+0OXD/fZebd6pdGCh+OCgsZSNZFLegPm4TTShcpkae6ZSHBDw6eS4NQwK2EEII0e1I2O6GlFLsfejFjG0WGruKSom43RTV1zW5TnjFeqpfWEDxRae0+n5e3uvi8Z1OCcp3+kYkaGdBagY7ajk9rwMunQEFTs/rPBdo8haCEEII0a1J2O6Gouu2EKvckbFtT34RVXkFFNbX0VI8C761nIIzpmAEfAe8fVvBc7vd/GmH06/76xVRziuT1n4dJSNg6xp5Lp1+BToBCdhCCCFEjyNhuxuqX/hxxvd1Xj+7CkvJi4YxUC1eTyUsggtXUXjm5Bb3CVnw041+VgSdp8aXS2Nc0SvaMQd+GGsuYPfN18j3GBKwhRBCiB5MwnY3YwXDVP3l9fT3UcNkR1EpGjaexMFnn6OfboADhO2HtnlZETTxaIrv9I1wZklcToZsp2gCwgmbmJU6yVECthBCCHG4kbDdzUQ+/iL9tQ3sKigh5PFRVF/bqutbwXCLly2pNXm9yo2GLFbTXukuIha4DSdg90/WYAckYAshhBCHHQnb3Uzks43pr6sCBezLLyQ/HGyxTrsJV/OL3KyuN/j1ZudkyAvLYhK02yBuJftgWzaGrpGfDNj5bh2/C+mBLYQQQhzGJGx3M+EV6wGI5uexK78ETzyGadutvr67b1mTbR/WGfy00k9UaYz0J7iqt9RoH0xqoZlwwsbQNPxujd4Bk3yvITPYQgghhEiTsN2NhFdtILF9L2gaddNPIrFsPYXhYJtuI2/q+IzvPw4a3FXpJ6Y0JuXH+eGgMG69I4+657BsCCUDtq5p5Lk1BuWZ5Ht0Ai4NXfpgCyGEEGI/Era7keCbHwKgTx5D9ORJBN7/+CDXyOQa3BvP0L7p778I69yRDNpT8uP8aFAYlwTtDLaCcEIRittoOCs5Diw0KZCALYQQQohWkLDdTSjbJvjeSgBqpk6mpE8hiYtPoeqpt1p1fc3rofTKs9Plw3viGj/Z4CdsaxyZl+B2CdoZnICtsGyFz6XTN2BQ5DUIuGUlRyGEEEK0noTtbqJ+4cdYe2vA5yEy9gjKTQ1OmwgKqp55G1TL/bX1ogDl11+Iu29pettD27zsTegM9Fj8ZHAIz2EetJVSRBI2kQTEbYXb0Cn16RR7DQo8Gq42LnMvhBBCCAEStruN8KoNACRGDcXrd6e350+biGf0IILv/If6RZ+gog29ts3yIgKnHEXe1CMxfJ709tX1Bu/WuNBR3DYwTKD5BiU9nlIQSSjqYzbBCBSZUOTVKfLp5Lt0vC4J2EIIIYQ4NBK2u4nI6koA4sVF+M3MEOjuU0rJ16dTNOM0EruqUfE4ep4fs7SgSde5mA1ztjot/r5UHGeIr/WdTHqKaALq4zYJW+EzdcryDPp4dHoVu/BKLY0QQgghOpCE7W4itPhTAOLDBuBrIQ/qppFRKtKch7d7+TxikG/YXHkYtfhLLzaTULhNjSKvTonPIN+j4dGhrk7Ha8pMthBCCCE6loTtbsAKhomu3wqAGtSn3bfzxj4XL+11SlC+PyBCiavlOu+eIpxQ1EVtzORy6f0KdAr2X2zmAPXuQgghhBCHQsJ2N1D/wSpQClVRjCoItOs2NkZ0ZifLRy6riDLKG6cqovCZWo+c0Y0moDZqYRoaffMNyvwmebLYjBBCCCE6mYTtbiD8kbNqJKOHtvs2/rjdQ0JpDNKjfLZmJ7dHGmZzBxQYTB3gZlIfD55uHrzjFtTGnDr0XnkGFQGTgLt7PyYhhBBCdF8StruBSHKJdtpZQrK41mRpncuZHd++hxors2xic63F3z8J88r6CP91VIBhxd3vaWHZTshO2FDq0+kdMChwazQ5Q1QIIYQQohNJ64VuID2zPWxAm6+7Iazzy0qnfKSovha3lWhx39qoYs7SOtZXtbxPrlEK6qKKPSELv6kzstTFESXOCo8StIUQQgjR1SRs5zi7LkR82x7nm6H92nTd1fUGN67LI4KOJxaltLb6oNeJ2/DIf4LUx3P/pMFwQrErZIEGw0tcjCwzKfHpUpcthBBCiJwhYTvHWXtrAdADPvB523TdF/e6sdDwRSP02beL1kbQ+phi0ZbcbQsYt2BP2CacUPTPNxhT5qJXwMDcbxl1pRQqYWFHYyjL6qKjFUIIIcThrPsV5x5mjN4luAb2Im/KaKracL2Y7dRqA5TUVmHabVu85r3NEaYN9uZUJYZSUBu1iSZsytzQ26+Rp8VRtWESlo2KJ5Jt/DQUThWJZuig65CwUJaN5nGh+71oXrdzmRBCCCFEFknYznG6183IDx9BNwyq3vq0VdeJ2fDLTT7CtoZhJfDGY22+3z0hxb6wTam/iwKpUpCwIBaHRIJIOE6wPo7fpdE/YFLkdmEkTDBNdJ8HPc+H7nWje1xgmmimjuYy0UwDdB0Vi2PXhUjsqcGqrceqCYKtwDTQXCZ2LIryetHcrq55vEIIIYTokSRsdwOa3rbA+8+9bj6odUJjcV1tq8tH9lcftyntjEqjeMIJ1akPO1kv7jKxTJMa20SV5tN3VB59y/z4/W40t+mEabeJZhituBMflBTgHtQbOxLDrg9j10ew6kIkaupRoXoSVXVOwFeArqG5TCeMG7pzH7rmbNd052st9X3nTv8rpcC2wVIoy3JKZCzldJtJvYOhJY9L10DXkzP8XX/sQgghxOFGwnYPE7Hh6V3OKpGne+vYGKpr9225jCwEsVgconGIxSCW7HpimuBxgd8Hvcuczx4XtZjUaQYVhV6GFJuU+FoTqg9O97rRvW4oLQSc8BrftYc8rw8VjaMiMSeQhyLY4SgqbqHiCZRlOyE3teKkZTvBV6nMziepyzXNCe4ZUhs00q+C0qUvCg2t0e012rfxDWma8wJM18HU06UymmE0vPCwnWNVlvMOgR2NN3/syft3jiB5TIaOZhrJDxNcya/b+KJPCCGEEBK2e5x3qlzUWjq93TZnFceZ287bMXQo8R5iuLJsiEQhGnOWdESBywSPG0qLoCAAXg943c62ZAlHzFLsDVl4TZ0xRQb9CswmJz92NM1tYhTkNTvTq2wblbDSs94qGVqVbTuz8Fbz9fDODLQzC61sBSS/T4bcVNjVdN0JuVpyvJPHkHEoyX00XXfCcCpgJ0Mxht5sGE4fu+Uca3PHrpL17FgWdiyOHYlB1PmsYnFUfQSVSDiPQWuI/hpa5ix56th0HYyGFwTO54bHK4QQQhxOJGz3IEo5JSQA55bGGF1mUuTVqI60PeRM7O1u+2qSCQvCUSdgJxKgG06ILghAYT74vc6H1wNm87PU1RGb+rhN34DJkOJkv+wupuk6mltPvxjoTtLH3g5KKVQs4czqxxNO8I4n0qE9FdCVZaPiTn29HU+kw70ds5Iz7M7+dm0dsbqIU8qiFOgaSqmGMp3Gn9Mz6x3zboYQQgjRVSRs9yBL60y+iBh4dcUZxXEMDU4c4OWldeE239ZJAz0H38lKhutwxOnHZ5rOLHVFKRQGnGCd52tVSI1Zit0hi4BLZ3wvN73zDIwsz2aLA9M0Dc3jckp82kCp5Ix54zBuWcT3VZEXyHfCd+qyVGvGaBw7GkfF4k7ZSySWvjw9l643Oum1cRg3pLe6EEKI3CVhu4ewFDy2wwnI55bEKDCd2exTB3lYviPGtrrW95meOsDNkKJmnhpKObPWoahTd23o4PNARRkU5TvBOs/X4qx1S6ojNqG4Tf8CkyFFJoF2zsSK3KBpWjoMgxPUlVIYKoFZVHTAYKyUcmbPE8k6+biVnlG3I1HsYAQ7EnVCeiTmlOgkLKfMnUa171rmiaFomvN1+sTQZk4U1fb7XgghhOgAErZ7iEW1zqx2nq6YUdHQ6s9jalx3TD5/+LCuVYF7Ul83M8bkNWxIWBCKOB9KOSUghQGn5jrPBwG/U4fdDvHkbHaeS+fIXm76BAx0CTmHNU3TnPaLB3g3RCXbQqpkyUrqw+mlniprSaRPbCWewE5YyVn25Ky7bTXU1KtGH7ZKn/TqnK7qBPjkPaM0zflO1xvq1HWtoYY+/b0BRjLwy3NaCCEOaxK2e4j51U44OaskRqGZWaNd5NW4+dh8/vVFhIWbo4SaWYq9Ik/n9CFeju/nQYvFIRSGSMwJFXk+GNTHqb3Oz3Nmsw9RbdSmLubUZg8rkdls0XqapoHLaf3YVqpRDXnGyau2AmU3OqnVaavo7Otclip/UVbDrDvxBHZqJt62nVn41Emztp0+IbWh20zy5NLGYV1LnnXaXChv6aTS1L7pk2m19P52sB4r2cGSRh1nUi010x10mrvp5HFojWb5G7rfNHxOnwib2iaEEKJFEra7mbhls74qQTiu8Joa/QsMbE1jSXK1yJOL4s1ez2dqnD/Cx1nDfHy8yykriVqKPJfOsGKTI/wWWigC22udWcWAHwb2ccJ1fl6bS0NaYtmKXSELj6EzrtxN33ypzRadJ9UZRaPjT7xMzaqnOryQPIk0dcKo0w89uS0ex44nu8QkLGcmXSWDPcnwrNF8d5xkUE4H+VRoVrbzpdsAt8t5l0gDdB09tZKqaTR0tUldntJoVj91XMpWDY/FTr5jYNsNLyashhcTAEoDLT2z3/jEV/2AXXOEEKInk7DdTWysSfD0J/WsWRdkT6OWfC4D8noXEVUaAz0WR/gOvCy724Bj+rg5pg9OS75gCCJxwO2Uh5QVQ0GeM5vdwX8U6+M2VRGb3nkGQ4tdFB1qa0EhckhGn/MuopQiUV1N4CC18e253XS4Tp382qitpNOH3kIlbFQ02ae+8Qmv0bhzQrWVnO1PhXNU03aWjRaRknIcIURPIGG7G3hzQ4TvvLKPvptjFO1Xdh21NdYm8sCACa5ws+9EZ4jFkwE75rTlK8yH4SUN3UOy8AdNKcWesI1SMLLExcBCMzsL5gghskLTNGjHi4mME14Tydn9dJ29s1CUijmdaIjGsWPJOvzUIlKW7czYp3rZq9Q/jX5/7F/Wkgzo6Rc/qSAvhBBdRMJ2jvvPLotvv7GXWAvnNtZ7fViGiZlIsGbtXlYX5DO6bL8fa8KC+hDUR52TGQvyYOgAJ2Dn+bISsFNSLf2KPDrDS1yU50nfZCEOF6054XV/jRdialyOky7BSQbwjJKcWALizqJMqRNl7VgCEskWk3ajd/ySi0E1bh+Z/l5mz4UQWSBhO4cppfjpoliLQRsg6HU6h+SH61HAU58G+fFJRRgop4NIbciZ+Qn4YEQvKC5w6rE7oW6yLmpTE7UZUGgyvNjE55LZJSHEgR3KQkzQqM97eobcSgbxBCSSLSTDMexQFJVIYIejDbPt6RaSyfnz/bvMJH9v2qEwtm467U/1htVSpW2kEKI5ErZz2NJtMdZWtVyDHTVd1Pv8oBSBcD0ANbVx1q3bw6iAAr8PBvaGsiKnk0gnrcZnK8XukI2pa4wtd9G/wJSTIIUQnSKjz7vXfcB9VeN+7olUCYuVueBSanVUy4ZU6YuynfCOSne1SXe5yeg+kzwJ1TQanSRqoLmSM+pdXOMvhOgcErZz2IsHWfmxJi8fgEA4RHGwBn8sgqUbLK0vYdTxA52FZryH3qavLWKW022k1GtwRKlJiU/+mAghclO6hMTX+uvYqdVQCwrQFA3lLLbVaOXUZIvIhIWKJZzQHnFWSk0vyLT/CqloYCZXSTVSpS26hPIckjpROLN9qEIlW4OiSHcWarFtZ0u0Ru+KaMl/Ui1Bk99rjduEpjsWpRbooqFNp8g5ErZz2IEWoVFAvdcPwIA929BQbC7rTU1eAZFeBdC7tJOOskFdzKYmYjOo0GRoiQufKbPZQoieRUvWfOtuV5tLRtInjKZm0uOpmfUEdiyOHY6iIk43FxWLo0KN2kbuH8pTgTx1AmjjVotSytJqyrYh0ah/fqNWncpWaCpVVuQscpXqlJNRNpRcnVbTGwXgZNtNaGjl2XCnyeCeYu93AnCqvadqCPAoZ00Aldqn8YJcsN87Kyma833y/pVqZnVdNOxwCIuGLkAZ3YHkudQhJGznsOae4hrgjUWIGy4sw0C3LHYVlVHrDxA3nZOQOvuVrVKKPSEbNKRsRAghWtDaE0ZTJ4mqWAKVSIbzZBC04wlnljwcxY6lZsqTrRUzep+TzubOp4ZFitIhcf8FlTJmVzNnUbWM6+pOS8YcnknNqN1PrSAbT77bYDkTWc6EsZZ8F8F0XkT5POheN5rXje71oJmNXsSke8Ub6Rc4GYs9aR1Xs9+w+NT+M+Y44bxJv/1kn/79Zt6dbVbDolyNu/3E4lixBMQizm03XpRLZfbRzyiL0pt5gSe99A9IwnaO+nR3jE92N12gJi8SwtY01vcZBICt6+wtKM7Yp29+573lmLAVO+udbiMjSl2U+uXtTiGEOBTpk0Rb0cVFWak684bSlXTIbBSa0p1d4la6T3rjVVTTJRIKp9uLIrl6qhO+7NTXjcNdMowlY1jLq6SmZ36bCad6ahZYy+yMpRpWbAWtoWwjdb+pMNloMalUIE0dTbpG3nTq5I08H5rPg+73OnXzyZVoGz5yp2Qn/WKo8bYs3I9SinhVFYGCAmd8D7Iolx1POOVQ0bhTHpWwMnrpq+QiXRnvxCSDeLo0yjj8OgBJ2M5B722OcPULewknMmu+lKaxu7CEyop+RDxeZ2MzT9TpQ7ydcZiE4zZ7I86S6yNKTfzSbUQIITpVthZTyphZtZubNbXTs6Cq8YJFVjK8p1oyNj4J1UqulhqLJ8N98qNxWUTqvlHY9SESkUSyT7qWLt/QUgsduU0Mt89ZMdXrQnO70JIz1OkwbRhobvOwCnZtpWnJvvTtKP1USjX8jBuV46Q6/DR5JyaewI4mmgRzlVzZNn3ysGlC6useMFMuYTvHbKpJ8K1/Ng3aADuKy0gYJjFXy2fYDysyGVPW+p627VUdsYkkFEeUmAwudMkiNUII0YNkzKwaHTOrmi7tSM1Sp75OzqYrW2Xsm6itJa+oMDn7rWWsMirlCrlB0zRIvjPQGhkdgOLxdCcgOxp3zlcIRZyZ81gcVR9xyqjSM+U0BPAcfDfiQCRs55g5y+oIxpo/izmUPCGyJV4TvntcflZfvSul2FVv4zI0xla46BuQ2QIhhBAHl27LyMHDkVIKXbMwCgPyN6YHaU0HIKWUc75C8pwElZ4Rj2PXR7Drw873wXB6ESsFziJWOUrCdg4JxmyeWxNq13ULPBo/OamQYcXZm9VO2IodQYtin87IUpe09RNCCCFEh9I0Dc3jAk/LeSYVwu1YPB3M7WgcPXDgScmuImE7h6zYGSMUb2NvTqDMp/HA2aUUerL3llokodgTtuibL/XZQgghhOg6qRly3d8556gdKgnbOaQ22vagDeAy9KwG7bqoTV3MZliRydBiqc8WQgghhGgtCds5JOBuX4jNc2Uv/O4NWVjA6DIXAwpNdKmdE0IIIYRotW4ftnfu3Mmrr77KggUL+OKLL9izZw+FhYVMnDiRmTNnMmHChCbXCQaDzJ49mzfeeIPdu3dTXl7OGWecwY033kggEOiCR+EYX+HGY0C05YUjmzWuouPrtG2l2BWy8RkaY8tcVORJfbYQQgghRFt1+8Lbv/zlL9x9991s3ryZE044gW9+85scc8wxvPnmm3zta1/jlVdeydg/FApx+eWX8+ijjzJkyBCuvvpqhg0bxqOPPsrll19OKNS+ExQ7QpFX5/wRbS/uP3v4AU7rbQfLVmyrcxaqGd/LLUFbCCGEEKKduv3M9vjx4/nrX//KpEmTMrYvW7aMq6++mjvvvJPp06fjdju9qR955BFWr17NzJkz+f73v5/e//7772fOnDk88sgj3HTTTZ36GBqbNTmff64NEWnl7PYpAz0MLHB+jHY8Qf3Cj4l+tgk7EsUI+PFOGI7/mBHO8rqtELOcFSH75ZuMLDXxyYmQQgghhBDtpiml2ndWXjfwrW99i/fee49nn32WI488EqUUJ598MsFgkIULF+L3N8wiR6NRTjrpJLxeL/Pnz+/Svp6vfx7m2pf3Ej9Iy8hRZSa/OLUIDzZVf/s31f9YgF0dbLKfq28ZxZd9iYKzjzvg4wrFbaoiNoMKTYaXuHAfJidCKqWorq6mqKhI+rlmiYxx55Bxzj4Z484h49w5ZJw7R4+etjRNM+NzZWUlu3btYuLEiRlBG8Dj8TBp0iR27tzJxo0bO/1YGztzmI9nLi5nfAu12KYGXxnh45fTivFYCbb/v7nse/SVZoM2QHzbHnb9+m/suvdplGo+wddFbWqiihElLkaWHj5BWwghhBAim7p9GUlLtm3bxvvvv095eTkjRowASIfowYMHN3udQYMGpfdraR9ILjmbZZP6uHnp0jLe+7yKhbtMNtYkeGldBA148NwS+gYMFIodd/+F0PLPWnWbtS8txCwtoOTKszK27wvbWEoxusxF/3wDTeucx5grUo/1cHrMnU3GuHPIOGefjHHnkHHuHDLOh6417wj0yLAdj8e59dZbicVi3HLLLRiGc4JfXV0dQIsdR1LbU/u1pKamptOemOPLDcaXK97epHhpHfQLaOQToi4IsVUbqH/3ozbd3r6/voFx2nj04nyUUuyNgKlpjCjWyLej1NRk6YF0AzWH84PvJDLGnUPGOftkjDuHjHPnkHFuv+Li4oPu0+PCtm3b3H777SxdupRLLrmECy64oMPvo7CwsMNvszlKKWpqaigsLGRjuA6IMqjIRX4gH4Ad/1re9htNWFjzV5H/jS+xs96mtFBnTJl5WC+93nicpWYtO2SMO4eMc/bJGHcOGefOIePcOXpU2FZK8aMf/YgXX3yR888/nzvvvDPj8vx8J6QGg83XNqe2p/ZrSWc/ITVN4/OqBAD9C0w0TUt3HmmP2gUfEbngdEq8BqPLXRRkcfXJ7kTTNPllk2Uyxp1Dxjn7ZIw7h4xz55Bxzq4ek7JSM9rz5s3jvPPO45e//CW6nvnwUjXZlZWVzd5GqqY7tV8uqaxxegH2ynMek10bQsUTbb4dS9PZEVZU+A2O7CVBWwghhBAim3pE0rJtmx/+8Ic899xznHPOOdxzzz3pOu3GBg8eTEVFBcuXL2+yeE00GmXZsmVUVFTkXNhO2Ir1++IA9A4kH1c7XoDGdYM9BcWU19cwpsKNX3poCyGEEEJkVbdPW42D9llnncWvfvWrZoM2OG+TzJgxg1AoxJw5czIumzt3LjU1NcyYMSPn3kpZty9BXUzhd2n0y3cem1EYQPd6Wn0bMcOkKlBIn327GZVn4zNz6zEKIYQQQvRE3b5me86cOTz33HP4/X4GDx7MH/7whyb7TJ8+ndGjRwMwc+ZM3nrrrfRKkmPHjmXNmjUsWLCA0aNHM3PmzM5+CAdVWZ2q1zbQky8ENEMncOrR1L626KDXj5ouav359Nu3iwF7dlDx3W9n9XiFEEIIIYSj24ftrVu3AhAKhXjwwQeb3adfv37psO33+/nLX/7CAw88wOuvv86SJUsoKyvj6quvZtasWU0Wu8kFa5MlJBX+zBn7wgtPOmjYDrvcBL15DNi9nb5Vu3D5PRR/7fSsHasQQgghhGjQo5dr7+5Sy6jetUTx9OoQV47P40tDvJQ1Ct27fvc0NS+81+z1Q24PIY+fgbu30adqDzqKfr+5gdJvnttZD6FbkOVqs0/GuHPIOGefjHHnkHHuHDLOnaPb12wfDjbXOWUkRd6mP67yWReTP31Sk+31Hi9ht5dBu7bSt2o3OoreP7pKgrYQQgghRCfq9mUkh4P1+5ywPbSo6Y9LM3R6/b8r8E8aRdXTbxP7YitBj4+Yy82QXduoqNlL/skTKP/vGeSfNrGzD10IIYQQ4rAmYTvH1ccVu0M2AH3zDaKJplU/mqZRcMYU8r80mZ0fb0L/fCtDIzX0L3KTN/VIvEf07+zDFkIIIYQQSNjOeVURJ1x7TY2AWyeasFrctzqiMIb359jjhtA3X360QgghhBBdTRJZjvOZGroGw4oP/KPaF7aw0RhT7qZPoPk+40IIIYQQonNJ2M5xpT6N1y+roNRvsCPY/Kz2vrCFQmNsuYteeRK0hRBCCCFyhXQj6QZGl7UcolNBe4wEbSGEEEKInCMz291Y4xntCgnaQgghhBA5R2a2uykJ2kIIIYQQuU/CdjfUuHREgrYQQgghRO6SMpIcV1ljs7cqggLCcYVSinyvISdDCiGEEEJ0AxK2c5BSihc+C/PIijr+syMOhNOX9QnoXD7Oz8kDPV13gEIIIYQQolUkbOeYuKX47hv7eP6zcLOXbw/a/GpRkCXb4jzy5VL8LqkEEkIIIYTIVZLUcsyP3qluMWg3Nn9TlBte3YdSTZdvF0IIIYQQuUHCdg5ZtSvGEx/Xt3r/N76I8FZlJItHJIQQQgghDoWE7Rzy2MrWB+2URz9q+3WEEEIIIUTnkLCdQ9744uDlI/tbsClCJCGlJEIIIYQQuUjCdo6wlWJPyG7z9RI2VEXafj0hhBBCCJF9ErZzhAa0t7GIR9ptCyGEEELkJAnbOULTnKXX26pPwKDYKz9GIYQQQohcJCkth3x9XF6br3PZuDw0TcvC0QghhBBCiEMlYTuHXDTKT++81v9IAm6Ny49se0AXQgghhBCdQ8J2DvG7dB4+rxS/6+Az1aYOvz+7hIo8KdgWQgghhMhVErZzzMQ+HuZdXM4RJWaL+/TLN/jrhWWcPsTXiUcmhBBCCCHaquVEJ7rM+F5u3rqiF/M3Rnjyo2q21usooH+ByYWj/Jwx1IupS522EEIIIUSuk7Cdo3RN49RBXo4q9FJUVCQnQQohhBBCdENSRiKEEEIIIUSWSNgWQgghhBAiSyRsCyGEEEIIkSUStoUQQgghhMgSCdtCCCGEEEJkiYRtIYQQQgghskTCthBCCCGEEFkiYVsIIYQQQogskbAthBBCCCFElmhKKdXVByGEEEIIIURPJDPbQgghhBBCZImEbSGEEEIIIbJEwrYQQgghhBBZImFbCCGEEEKILJGwLYQQQgghRJaYXX0AoqmVK1cye/ZsVqxYQTweZ/jw4Vx11VV8+ctf7upD6xTTpk1j69atzV526aWXctddd2VsCwaDzJ49mzfeeIPdu3dTXl7OGWecwY033kggEGj2dv75z3/y2GOPsX79elwuF0cddRQ33XQTRx55ZLP7V1ZWcu+997J48WJCoRCDBg3i0ksv5bLLLkPXm75mjcViPPTQQ/zzn/9k27ZtFBYWcsopp3DzzTdTXl7exhFpvxdeeIEPP/yQVatWsXbtWuLxOHfffTcXXXRRs/v3lLF89913eeihh/jkk09QSjFu3DiuueYaTjrppFaOXNu0ZZxnz57NAw880OztuN1uPv7442YvO9zHeefOnbz66qssWLCAL774gj179lBYWMjEiROZOXMmEyZMaHIdeT63TVvHWJ7L7VNbW8v999/Pxx9/zJYtW6ipqaG4uJghQ4bwjW98gzPOOANN0zKuI8/l7k1a/+WYxYsX861vfQuXy8W5555Lfn4+b7zxBlu2bOG73/0u3/nOd7r6ELNu2rRp1NbWctVVVzW5bNy4cZx22mnp70OhEJdddhmrV69m6tSpjBkzhjVr1vDuu+8yevRonnzySfx+f8ZtPPjgg9x777307duXM888k1AoxMsvv0w0GuWPf/wjxx57bMb+69ev52tf+xqRSISzzjqLXr16sWDBAtauXcsll1zCT3/604z9bdvm29/+Nu+99x4TJkxgypQpbNq0iX/961/07t2bp59+utMCd+qFS3FxMX6/n61bt7YYAnvKWL744ot8//vfp7i4mHPPPRdN03j11VfZs2cPv/rVrzj//PM7aHQbtGWcUwHlwgsvpF+/fhmXGYbB9ddf3+Q6Ms7w61//mocffpiBAwcyefJkSktL2bhxI//+979RSvGb3/yGc845J72/PJ+zP8byXG6fjRs3csEFFzBhwgQGDhxIUVERe/fu5e2332bv3r1NHpc8l3sAJXJGPB5X06dPV+PGjVOffPJJentdXZ0699xz1ZgxY9SGDRu67gA7yWmnnaZOO+20Vu37u9/9To0YMULdc889zW7/3e9+l7F9w4YNasyYMeqMM85QtbW16e1r165VEyZMUNOnT1fxeDzjOt/4xjfUiBEj1DvvvJPeFovF1FVXXaVGjBihPvjgg4z9n332WTVixAj13e9+V9m23WT7rbfe2qrH1hEWLlyotmzZopRSau7cuWrEiBFq3rx5ze7bE8ayurpaTZo0SR177LFq27Zt6e07d+5UU6dOVZMmTVLV1dUtjld7tWWc77//fjVixAi1aNGiVt22jLPj9ddfV0uXLm2yfenSpWrs2LFqypQpKhqNprfL87nt2jrG8lxun0Qi0eRxKuX8rT/nnHPUiBEj1Nq1a9Pb5bnc/UnNdg5ZtGgRmzZt4rzzzmPMmDHp7YFAgOuvv55EIsFzzz3XhUeYW5RSPPPMM/j9fm644YaMy6699loKCwt59tlnUY3evHnuuedIJBJcd9115Ofnp7cfccQRfOUrX2HTpk0sWrQovX3Dhg0sXbqUY489llNOOSW93eVy8d3vfheAZ555JuO+U9//z//8T8ZbgV/96lcZNmwYr7zyCsFgsANG4OBOOOGEJjNOzekpY/naa69RW1vL5ZdfTp8+fdLbKyoquPLKK6mtreW111476Hi0VWvHuT1knB1nnHEGkyZNarJ90qRJHHvssVRXV/PZZ58B8nxur7aMcXvIGDsMw8A0m1bxBgIBTjzxRMCZ/QZ5LvcUErZzyJIlSwDS/9kamzp1asY+PV0sFuP555/nwQcf5Mknn2TNmjVN9qmsrGTXrl1MnDixyVtoHo+HSZMmsXPnzvQvLWgYv9R4NpaqGVu6dGmT/Zv7mYwfP56CgoKMn0k0GuWjjz5iyJAhzYavqVOnEovF+Oijjw74+DtbTxnLA91H6phy5f/QsmXLePjhh/nTn/7EO++8QywWa3Y/GeeDSwWX1Gd5Pne8/ce4MXkud4xoNMqiRYvQNI3hw4cD8lzuKeQEyRxSWVkJwKBBg5pcVlhYSHFxccZ/qJ5s9+7d3HbbbRnbTjrpJO655x5KSkqAhlf+gwcPbvY2UuO4cePG9D6VlZX4/f5ma6ZT+6d+Do2/bu5nomkaAwcOZNWqVYTDYXw+H5s2bcK27RaPqfFxNPeLsKv0lLE80H00fgy54P7778/4vry8nP/7v/9r8ryQcT6wbdu28f7771NeXs6IESMy7luezx2juTFuTJ7L7VNbW8tjjz2Gbdvs3buXBQsWsH37dmbNmpU+Vnku9wwStnNI6i2Xxm/7NBYIBNixY0dnHlKXuOiii5gyZQrDhw/H7Xbz+eef88ADD7BgwQKuv/56/va3v6FpGnV1dQAtnomd2p7aD5wxToX1lvZv/NZXa34mqfvw+XwHPaa8vLwm95ELespYHug+/H4/hmFkPIauMHr0aP7v//6PyZMnU1ZWxo4dO3j55ZeZO3cu1113HU8//TSjRo1K7y/j3LJ4PM6tt95KLBbjlltuwTAMQJ7PHamlMQZ5Lh+q2trajG4uLpeLW2+9lf/6r/9Kb5Pncs8gYVvknFmzZmV8P2HCBObOncvll1/Ohx9+yPz58zn11FO75uCEOETTp0/P+H7QoEFcf/31lJWV8eMf/5jf//73TWYKRVO2bXP77bezdOlSLrnkEi644IKuPqQe52BjLM/lQ9O/f38+++wzLMti+/btvPLKK9x777385z//4b777mu2ZEd0T1KznUOae4XaWDAYbPGVZ0+n63q6jdry5cuBhlfILc0SN/dKOhAIHHB8U/s03h8O/DNpvN/Bjqm+vr7JfeSCnjKWB7qPUCiEZVk5+3/oggsuwDTN9PM7Rca5KaUUP/rRj3jxxRc5//zzufPOOzMul+fzoTvYGB+IPJfbxjAM+vfvzzXXXMPNN9/Mv/71L55++mlAnss9hYTtHLJ/jVZjNTU1VFVVNVvvdLgoLi4GIBwOA83XnjWWGsfGYzZ48GBCoRC7d+9ucf/GdWgH+pkopdi0aRMVFRXpE1cGDhyIrustHlNqe0u1bl2lp4zlge6juceQS9xuN3l5eUQikYztMs6ZUrOt8+bN47zzzuOXv/xlkwU35Pl8aFozxgciz+X2S51AmDpZUJ7LPYOE7RwyefJkAN57770mly1cuBCAKVOmdOox5ZKVK1cCpM9+Hjx4MBUVFSxfvpxQKJSxbzQaZdmyZVRUVGT8B06NcWo8G3v33Xcz9oGG8W7uZ7Jy5Upqa2szfiYej4fx48ezYcOGZlfBXLhwIW63u9nV7rpSTxnLA/0fSh1Trv4fqqyspKampsnZ/TLODWzb5oc//CHPPfcc55xzDvfcc09GDXGKPJ/br7VjfCDyXG6/nTt3AqTHXJ7LPYOE7Rxy/PHHM2DAAF566SVWr16d3h4MBvn973+PaZpceOGFXXiE2bd+/Xpqa2ubbF+2bBl//vOfcbvdnHHGGYBzlvSMGTMIhULMmTMnY/+5c+dSU1PDjBkzMnqAXnTRRZimyR/+8IeMt7PWrVvHCy+8wMCBAznuuOPS24cMGcLkyZNZvHgx8+fPT2+Px+Pcd999AMyYMSPjvi+55BIAfvOb32T0Pp03bx6ff/4555xzTs6VkfSUsTz77LPJz8/niSeeYPv27entu3bt4vHHH6egoICzzjqrPUPUIYLBYLNtLGtqavjhD38IwLnnnptxmYyzo3EIPOuss/jVr37VYgiU53P7tGWM5bncfqtXr262nKK6upp7770XgJNPPhmQ53JPIcu155hFixYxc+ZMXC4X5513HoFAIL1c+80338x1113X1YeYVbNnz+aRRx7h+OOPp1+/frjdbtauXcvChQvRdZ0777wz4z/9/svYjh07ljVr1rBgwYIWl7H9wx/+wH333dfsMraPPPJIxi8hyFzG9uyzz6aiooJ3332Xzz77jBkzZvCzn/0sY3/LsrjmmmsylrHdvHkzb7zxBr169eKZZ57ptOXan3nmGT788EMA1q5dyyeffMLEiRPTsyDTp09Pn+TUU8byhRde4NZbb212SeB77rmHr3zlKx06xtD6cd6yZQunn34648aNY8SIEZSWlrJz504WLFhAdXU1U6dO5cEHH8Ttdmfcvoxzw9Lgfr+fK6+8stmTx6ZPn87o0aMBeT63R1vGWJ7L7ffzn/+cZ599lmOPPZa+ffvi8/nYtm0b77zzDqFQiDPPPJP77rsvXbojz+XuT8J2Dlq5ciX3338/K1asIB6PM3z4cK666irOP//8rj60rFuyZAlPPvkkn376KXv27CEWi1FaWsoxxxzD1Vdfzfjx45tcp66ujgceeIDXX3+dPXv2UFZWxplnnsmsWbNaPOHixRdf5LHHHmP9+vW4XC6OOuoobrrppmZvH5wVtu69914WL15MKBRi0KBBXHrppXzjG99otpYxFovx0EMP8eKLL7Jt2zYKCws55ZRTuPnmm6moqDi0QWqD2267jeeff77Fy2fNmsWNN96Y/r6njOWCBQt46KGH+OSTTwAYO3Ys1157bXrxhI7W2nEOBoP89re/ZcWKFWzbti3dSmvEiBGcf/75zJgxo8WZxMN9nA82xgB33313+kRqkOdzW7VljOW53H7Lli1j3rx5rFixgl27dhGJRCgsLGTMmDFccMEF6SDamDyXuzcJ20IIIYQQQmSJ1GwLIYQQQgiRJRK2hRBCCCGEyBIJ20IIIYQQQmSJhG0hhBBCCCGyRMK2EEIIIYQQWSJhWwghhBBCiCyRsC2EEEIIIUSWSNgWQgghhBAiSyRsCyGEEEIIkSUStoUQQrTali1bGDlyJLfddlu3vg8hhOgsEraFEEJ0umnTpjFt2rSuPgwhhMg6s6sPQAghhGisV69evPLKK+Tn53f1oQghxCGTsC2EECKnuFwuhg0b1tWHIYQQHULKSIQQohMtXryYkSNHMnv2bJYuXcrll1/O0UcfzZQpU/if//kfduzY0eQ669at4+abb+b4449n3LhxTJs2jV/84hdUV1c32TdVnlFTU8OPfvQjTjjhBMaPH8/FF1/Mm2++2WT/2267jZEjR7Jly5Yml82ePZuRI0eyePHigz6uVatWcdddd3HeeedxzDHHMH78eL785S/z0EMPEY/H0/ul6rG3bt3K1q1bGTlyZPpj9uzZGfs0V7O9bds2br/9dk466STGjRvHySefzO2338727dub7HvFFVcwcuRIEokEc+bMYdq0aYwbN44zzzyTv/71rwd9TEII0RFkZlsIIbrAihUrmDt3LqeeeipXXHEFn3zyCS+99BIffvghzz77LGVlZQAsX76cb33rW8RiMc4880z69evHihUreOyxx5g/fz5///vfKS4uzrjtWCzGN7/5TSKRCBdccAF1dXW8/PLL3HDDDdxzzz2cf/75Hf54nn76ad5++20mT57MySefTCQSYcmSJfzmN7/h448/TgfpgoICZs2axWOPPQbAVVddlb6NKVOmHPA+Kisrueyyy9i7dy+nnXYaRxxxBOvWrWPevHm88847/O1vf2PQoEFNrve9732PlStXcvLJJ6PrOq+++ip33XUXLpeLSy65pANHQQghmpKwLYQQXeC9997jZz/7GTNmzEhve+CBB5g9eza//e1v+cUvfoFt2/y///f/CIVCPPLII5x00knpfX/7298yd+5cfv3rX/Pzn/8847Z3797NsGHDeOqpp3C5XABcffXVXHTRRfz0pz9l2rRpBAKBDn081157LXfccQeGYaS3KaX44Q9/yLx58/jwww855phjKCgo4MYbb+T5558H4MYbb2z1fdxxxx3s3buXu+66i0svvTS9/amnnuInP/kJd9xxB48++miT6+3YsYOXXnop/ZivvPJKvvzlL/OnP/1JwrYQIuukjEQIIbrAkCFDuPjiizO2zZw5k5KSEl5++WVisRjLly+nsrKSk08+OSNoA3znO9+hqKiIl156iVgs1uT2//u//zsdtAGGDRvGV7/6VWpra5stJzlU/fr1ywjaAJqm8Y1vfAOADz744JBuf/v27SxatIjhw4c3CciXXHIJw4YN44MPPmi2nOR73/texouLoUOHMnHiRDZs2EAwGDyk4xJCiIORsC2EEF1g4sSJaJqWsc3r9TJ27FgikQiVlZV8+umnQPPlFX6/n3HjxqX3bczlcnHUUUc1uc6kSZMAWLNmTcc8iEZisRh//vOfufjii5k4cSKjRo1i5MiRXHTRRQDs2rXrkG4/NRaTJ09uMm6aph3wsY0dO7bJtl69egFQV1d3SMclhBAHI2UkQgjRBUpLS5vdnqrVrqurS8+6prbtr7y8PL1vY0VFReh607mU1H1mI2DedNNNvP322wwePJhzzjmH0tJSTNOktraWxx9/vNnZ97Zo71gAzbYQNE3nz59lWYd0XEIIcTAStoUQogvs3bu32e179uwBnICYKn1IbWtp3/3rr6urq7Ftu0ngTt1n4/CZmiVuLnS2NpSvXLmSt99+mxNPPJGHHnooo5xkxYoVPP744626nQNp71gIIURXkzISIYToAsuXL0cplbEtEonwySef4PV6GTx4MGPGjAFgyZIlTa4fDodZtWoVXq+XIUOGZFwWj8dZsWJFk+ssW7YMgFGjRqW3FRYWArBz584m+69evbpVj2Xz5s0AnHrqqU3qtlP3uT9d19s0qzx69Oj07e0/bkopPvzww4z9hBAiV0jYFkKILrBhwwaeffbZjG2PPPII+/bt49xzz8XtdjNx4kQGDhzIggULeP/99zP2nTt3LlVVVel99/e73/0uo7/1559/zrx588jPz+f0009Pbx83bhxAujtIymuvvdZsyG9O3759AdKBN2XdunU89NBDzV6nsLCQqqoqotFoq+/j2GOPZd26dU3G7dlnn2XdunUcd9xx9OnTp1W3J4QQnUXKSIQQoguceOKJ3HnnncyfP5+hQ4fyySef8N5779GnTx++973vAc7s7913383MmTO55ppr0n22P/roIxYtWsTAgQO55ZZbmtx2eXk5dXV1XHDBBZxyyikEg0FeeuklotEoP/3pTzNKLaZPn07//v157rnn2L59O6NHj+aLL75g0aJFnHLKKcyfP/+gj2X8+PGMHz+eV199ld27dzNhwgS2b9/OW2+9xSmnnMLrr7/e5DrHHXccq1at4jvf+Q7HHHNM+sVF6kTH5vzv//4vl112GT/+8Y95++23GT58OOvXr+ett96ipKSE//3f/23FyAshROeSmW0hhOgCRx11FH/+85+pqqri8ccfZ+XKlZx77rn87W9/yzgJcNKkSTz11FNMmzaNhQsX8qc//YnNmzdzxRVX8NRTT1FSUtLktt1uN3/60584+uij+cc//sHzzz/PkCFDmDNnTpMFbbxeL48++iinn346K1eu5O9//zvRaJQnnniCI488slWPxTAM5s6dy1e/+lU2bdrEE088wfr167n11lv5/ve/3+x1rr/+ei655BLWrVvHnDlz+M1vfnPQ9oBDhw5l3rx5XHjhhaxcuZI//vGPrFy5kgsvvJBnn322STmNEELkAk3tX/wmhBAiaxYvXsyVV17JrFmz2rSgS2tNmzYNgLfeeqvDb1sIIUTbycy2EEIIIYQQWSJhWwghhBBCiCyRsC2EEEIIIUSWSM22EEIIIYQQWSIz20IIIYQQQmSJhG0hhBBCCCGyRMK2EEIIIYQQWSJhWwghhBBCiCyRsC2EEEIIIUSWSNgWQgghhBAiSyRsCyGEEEIIkSUStoUQQgghhMiS/w/JcPqTfzJYlwAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_tools_model_posterior_predictive(\n",
" interaction_model,\n",
" interaction_inference,\n",
" title=\"Interaction Model\\nNatural Population Scale\",\n",
" plot_natural_scale=True,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "ab579d25",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_tools_model_posterior_predictive(\n",
" innovation_loss_model,\n",
" innovation_loss_inference,\n",
" title=\"Innovation Model\\nNatural Population Scale\",\n",
" input_natural_scale=True,\n",
" plot_natural_scale=True,\n",
")"
]
},
{
"cell_type": "markdown",
"id": "4315cc98-65c6-48e8-84b5-275405752b27",
"metadata": {},
"source": [
"Notice the following improvements over the basic interaction model\n",
"- No weird crossover of low/high contact trends\n",
"- zero population now associated with zero tools"
]
},
{
"cell_type": "markdown",
"id": "9442e29f",
"metadata": {},
"source": [
"### Model Comparisons"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "645db29f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" rank \n",
" elpd_loo \n",
" p_loo \n",
" elpd_diff \n",
" weight \n",
" se \n",
" dse \n",
" warning \n",
" scale \n",
" \n",
" \n",
" \n",
" \n",
" innovation loss \n",
" 0 \n",
" -40.892427 \n",
" 5.706997 \n",
" 0.000000 \n",
" 0.862233 \n",
" 5.666719 \n",
" 0.000000 \n",
" True \n",
" log \n",
" \n",
" \n",
" contact \n",
" 1 \n",
" -42.799083 \n",
" 7.239629 \n",
" 1.906656 \n",
" 0.000000 \n",
" 6.275191 \n",
" 2.736439 \n",
" True \n",
" log \n",
" \n",
" \n",
" global intercept \n",
" 2 \n",
" -71.152042 \n",
" 8.674912 \n",
" 30.259615 \n",
" 0.137767 \n",
" 16.274744 \n",
" 16.728641 \n",
" True \n",
" log \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" rank elpd_loo p_loo elpd_diff weight se \\\n",
"innovation loss 0 -40.892427 5.706997 0.000000 0.862233 5.666719 \n",
"contact 1 -42.799083 7.239629 1.906656 0.000000 6.275191 \n",
"global intercept 2 -71.152042 8.674912 30.259615 0.137767 16.274744 \n",
"\n",
" dse warning scale \n",
"innovation loss 0.000000 True log \n",
"contact 2.736439 True log \n",
"global intercept 16.728641 True log "
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"compare_dict = {\n",
" \"global intercept\": global_intercept_inference,\n",
" \"contact\": interaction_inference,\n",
" \"innovation loss\": innovation_loss_inference,\n",
"}\n",
"az.compare(compare_dict)"
]
},
{
"cell_type": "markdown",
"id": "9f0e5c6a",
"metadata": {},
"source": [
"We can also see that the innovation / loss model is far superior (weight=.94) in terms of LOO prediction.\n",
"\n",
"### Take-homes\n",
"- Generally best to have a domain-informed scientific model\n",
"- We still have the unobserved location confound to deal with"
]
},
{
"cell_type": "markdown",
"id": "7e80ed26",
"metadata": {},
"source": [
"# Review: Count GLMS\n",
"- MaxEnt priors\n",
" - Binomal\n",
" - Poisson & Extensions\n",
" - `log` link function; `exp` inverse link function\n",
"\n",
" \n",
"- Robust Regression\n",
" - Beta-Binomial\n",
" - Gamma-Poisson"
]
},
{
"cell_type": "markdown",
"id": "84dc9fd2",
"metadata": {},
"source": [
"# BONUS: Simpons's Pandora's Box\n",
"\n",
"**The reversal of some measured/estimated association when groups are either combined or separated.**\n",
"\n",
"- There is nothing particularly interesting or Paradoxical about Simpson's paradox\n",
"- It is simply a statistical phenomena\n",
"- There are any number of causal phenoena that can create SP\n",
" - Pipes and Forks can cause one flavor of SP -- namely stratifying destroys trend / associations\n",
" - Collider can cause the inverse flavor -- nameley stratifying ellicits a trend / association\n",
"- You can't say one way or the other which direction of \"reversal\" is correct without making explicit causal claims\n",
"\n",
"### Classic example is UC Berkeley Admissions\n",
"- If you do not stratify/condition on Department, you find that Females are Admitted at a lower rate\n",
"- If you stratify/condition on Department, you find that Females are Admitted at a slightly higher rate (see above Admissions analyses)\n",
"- Which is correct? Could be explained by either:\n",
" - a mediator/pipe (department)\n",
" - a collider + confound (unobserved ability)\n",
" \n",
"**For examples of how Pipes, Forks, and Colliders can \"lead to\" Simpson's paradox, see [Leture 05 -- Elemental Confounds]() **"
]
},
{
"cell_type": "markdown",
"id": "a9eac8eb",
"metadata": {},
"source": [
"\n",
"## Nonlinear Haunting\n",
"\n",
"Though $Z$ is not a confound, it is an competing cause of $Y$. If the causal model is nonlinear and we stratify by $Z$ to get the direct causa effect of the treatment on the outcome, this can cause some strange outcomes akin to Simpson's paradox.\n"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "188ee299",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"treatment, X \n",
"\n",
"treatment, X \n",
" \n",
"\n",
"\n",
"outcome, Y \n",
"\n",
"outcome, Y \n",
" \n",
"\n",
"\n",
"treatment, X->outcome, Y \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"covariate, Z \n",
"\n",
"covariate, Z \n",
" \n",
"\n",
"\n",
"covariate, Z->outcome, Y \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"utils.draw_causal_graph(edge_list=[(\"treatment, X\", \"outcome, Y\"), (\"covariate, Z\", \"outcome, Y\")])"
]
},
{
"cell_type": "markdown",
"id": "b074c9a2",
"metadata": {},
"source": [
"### Example: Base Rate Differences\n",
"\n",
"Here we simulate data where $X$ and $Z$ are independent, but $Z$ has a nonlinear causal effect on $Y$"
]
},
{
"cell_type": "markdown",
"id": "c5abbdae-9d5c-4d65-8abc-2960eb9e58b1",
"metadata": {},
"source": [
"#### Generative Simulation"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "56c6acf5",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(123)\n",
"n_simulations = 1000\n",
"\n",
"X = stats.norm.rvs(size=n_simulations)\n",
"Z = stats.bernoulli.rvs(p=0.5, size=n_simulations)\n",
"\n",
"# encode a nonlinear effect of Z on Y\n",
"BETA_XY = 1\n",
"BETA_Z0Y = 5\n",
"BETA_Z1Y = -1\n",
"\n",
"p = utils.invlogit(X * BETA_XY + np.where(Z, BETA_Z1Y, BETA_Z0Y))\n",
"Y = stats.bernoulli.rvs(p=p)\n",
"\n",
"plt.subplots(figsize=(6, 3))\n",
"plt.hist(p, bins=25)\n",
"plt.title(\"Probabilities\");"
]
},
{
"cell_type": "markdown",
"id": "59346e6e",
"metadata": {},
"source": [
"### Unstratified Model -- $\\text{logit}(p_i) = \\alpha + \\beta X_i$"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "332efd20",
"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, beta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0a464b63393548fb89749f1429ed819c",
"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"
]
},
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"cluster1000 \n",
" \n",
"1000 \n",
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"\n",
"\n",
"Y \n",
"\n",
"Y \n",
"~ \n",
"Bernoulli \n",
" \n",
"\n",
"\n",
"X \n",
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"X \n",
"~ \n",
"Data \n",
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"\n",
"\n",
"p \n",
" \n",
"p \n",
"~ \n",
"Deterministic \n",
" \n",
"\n",
"\n",
"X->p \n",
" \n",
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"\n",
"\n",
"p->Y \n",
" \n",
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" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"alpha->p \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"beta \n",
"\n",
"beta \n",
"~ \n",
"Normal \n",
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"\n",
"\n",
"beta->p \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Unstratified model\n",
"with pm.Model() as unstratified_model:\n",
"\n",
" # Data for PPDs\n",
" x = pm.Data(\"X\", X)\n",
"\n",
" # Global params\n",
" alpha = pm.Normal(\"alpha\", 0, 1)\n",
" beta = pm.Normal(\"beta\", 0, 1)\n",
"\n",
" # record p for plotting predictions\n",
" p = pm.Deterministic(\"p\", pm.math.invlogit(alpha + beta * x))\n",
" pm.Bernoulli(\"Y\", p=p, observed=Y)\n",
"\n",
" unstratified_inference = pm.sample()\n",
"\n",
"pm.model_to_graphviz(unstratified_model)"
]
},
{
"cell_type": "markdown",
"id": "0122e918",
"metadata": {},
"source": [
"### Partially Stratified Model -- $\\text{logit}(p) = \\alpha + \\beta_{Z[i]} X_i$"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "f3cdf196",
"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, beta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6d4577fd3c784da19ef26c0ed715be59",
"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"
]
},
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"cluster1000 \n",
" \n",
"1000 \n",
" \n",
"\n",
"cluster2 \n",
" \n",
"2 \n",
" \n",
"\n",
"\n",
"Y \n",
"\n",
"Y \n",
"~ \n",
"Bernoulli \n",
" \n",
"\n",
"\n",
"Z \n",
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"Z \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"p \n",
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"p \n",
"~ \n",
"Deterministic \n",
" \n",
"\n",
"\n",
"Z->p \n",
" \n",
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" \n",
"\n",
"\n",
"X \n",
" \n",
"X \n",
"~ \n",
"Data \n",
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"\n",
"\n",
"X->p \n",
" \n",
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"\n",
"\n",
"p->Y \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"alpha->p \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"beta \n",
"\n",
"beta \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"beta->p \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Partially statified Model\n",
"with pm.Model() as partially_stratified_model:\n",
"\n",
" # Mutable data for PPDs\n",
" x = pm.Data(\"X\", X)\n",
" z = pm.Data(\"Z\", Z)\n",
"\n",
" alpha = pm.Normal(\"alpha\", 0, 1)\n",
" beta = pm.Normal(\"beta\", 0, 1, shape=2)\n",
"\n",
" # record p for plotting predictions\n",
" p = pm.Deterministic(\"p\", pm.math.invlogit(alpha + beta[z] * x))\n",
" pm.Bernoulli(\"Y\", p=p, observed=Y)\n",
"\n",
" partially_stratified_inference = pm.sample()\n",
"\n",
"\n",
"pm.model_to_graphviz(partially_stratified_model)"
]
},
{
"cell_type": "markdown",
"id": "137929f2",
"metadata": {},
"source": [
"### Unstratified model posterior predictions"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "ceaf0210",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: []\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d796fc519be04af981aaccd0b00772c0",
"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"
}
],
"source": [
"# Get predictions -- unstratified model\n",
"RESOLUTION = 100\n",
"xs = np.linspace(-3, 3, RESOLUTION)\n",
"\n",
"with unstratified_model:\n",
" pm.set_data({\"X\": xs})\n",
" unstratified_ppd = pm.sample_posterior_predictive(unstratified_inference, var_names=[\"p\"])[\n",
" \"posterior_predictive\"\n",
" ][\"p\"]"
]
},
{
"cell_type": "markdown",
"id": "a56c311a",
"metadata": {},
"source": [
"### Partially Stratified model posterior predictions"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "2d7ee636",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: []\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "56f6a557128d4a4ebe1f12cb51764ef9",
"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: []\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6e1c0cc6d2744a109b866360946d2599",
"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"
}
],
"source": [
"# Get predictions -- partially stratified model\n",
"partially_stratified_predictions = {}\n",
"with partially_stratified_model:\n",
" for z in [0, 1]:\n",
" # Z = 0 predictions\n",
" pm.set_data({\"X\": xs})\n",
" pm.set_data({\"Z\": [z] * RESOLUTION})\n",
" partially_stratified_predictions[z] = pm.sample_posterior_predictive(\n",
" partially_stratified_inference, var_names=[\"p\"]\n",
" )[\"posterior_predictive\"][\"p\"]"
]
},
{
"cell_type": "markdown",
"id": "08fa8010",
"metadata": {},
"source": [
"### Plot the effect of stratification"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "89abda75",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.lines import Line2D\n",
"\n",
"n_posterior_samples = 20\n",
"_, axs = plt.subplots(1, 2, figsize=(8, 4))\n",
"plt.sca(axs[0])\n",
"\n",
"# Plot predictions -- unstratified model\n",
"plt.plot(xs, unstratified_ppd.sel(chain=0)[:n_posterior_samples].T, color=\"C0\")\n",
"plt.xlabel(\"treatment, X\")\n",
"plt.ylabel(\"p(Y)\")\n",
"plt.ylim([0, 1])\n",
"plt.title(\"$logit(p_i) = \\\\alpha + \\\\beta x_i$\")\n",
"\n",
"# For tagging conditions in legend\n",
"legend_data = [\n",
" Line2D([0], [0], color=\"C0\", lw=4),\n",
" Line2D([0], [0], color=\"C1\", lw=4),\n",
"]\n",
"\n",
"\n",
"plt.sca(axs[1])\n",
"for z in [0, 1]:\n",
" ys = partially_stratified_predictions[z].sel(chain=0)[:n_posterior_samples].T\n",
" plt.plot(xs, ys, color=f\"C{z}\", label=f\"Z={z}\")\n",
"\n",
"plt.xlabel(\"treatment, X\")\n",
"plt.ylabel(\"p(Y)\")\n",
"plt.ylim([0, 1])\n",
"\n",
"plt.legend(legend_data, [\"Z=0\", \"Z=1\"])\n",
"\n",
"plt.title(\"$logit(p_i) = \\\\alpha + \\\\beta_{Z[i]}x_i$\")\n",
"\n",
"plt.sca(axs[0])"
]
},
{
"cell_type": "markdown",
"id": "78383541",
"metadata": {},
"source": [
"When stratifying only on the X coefficient, and thus sharing a common intercept, we can see that for Z=0, there is a saturation around 0.6. This is due to the +5 added to the log odds of Y|Z=0 in the logistic regression model. Because of this saturation, it's difficult to tell if the treatment affects the outcome for that group."
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "4a087608",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, axs = plt.subplots(figsize=(5, 3))\n",
"for z in [0, 1]:\n",
" post = partially_stratified_inference.posterior.sel(chain=0)[\"beta\"][:, z]\n",
" az.plot_dist(post, color=f\"C{z}\", label=f\"Z={z}\")\n",
"plt.xlabel(\"beta_Z\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend()\n",
"plt.title(\"Partially Stratified Posterior\");"
]
},
{
"cell_type": "markdown",
"id": "2adb50e2",
"metadata": {},
"source": [
"### Try a fully-stratified model -- $\\text{logit}(p_i) = \\alpha_{Z[i]} + \\beta_{Z[i]}X_i$\n",
"\n",
"Include a separate intercept for each group"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "7514b0be",
"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, beta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "94b69864ba614da3ac180d0b56a463cf",
"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"
]
},
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"cluster1000 \n",
" \n",
"1000 \n",
" \n",
"\n",
"cluster2 \n",
" \n",
"2 \n",
" \n",
"\n",
"\n",
"Y \n",
"\n",
"Y \n",
"~ \n",
"Bernoulli \n",
" \n",
"\n",
"\n",
"Z \n",
" \n",
"Z \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"p \n",
" \n",
"p \n",
"~ \n",
"Deterministic \n",
" \n",
"\n",
"\n",
"Z->p \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"X \n",
" \n",
"X \n",
"~ \n",
"Data \n",
" \n",
"\n",
"\n",
"X->p \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"p->Y \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"alpha \n",
"\n",
"alpha \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"alpha->p \n",
" \n",
" \n",
" \n",
"\n",
"\n",
"beta \n",
"\n",
"beta \n",
"~ \n",
"Normal \n",
" \n",
"\n",
"\n",
"beta->p \n",
" \n",
" \n",
" \n",
" \n",
" \n"
],
"text/plain": [
""
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Fully statified Model\n",
"with pm.Model() as fully_stratified_model:\n",
"\n",
" x = pm.Data(\"X\", X)\n",
" z = pm.Data(\"Z\", Z)\n",
"\n",
" # Stratify intercept by Z as well\n",
" alpha = pm.Normal(\"alpha\", 0, 1, shape=2)\n",
" beta = pm.Normal(\"beta\", 0, 1, shape=2)\n",
"\n",
" # Log p for plotting predictions\n",
" p = pm.Deterministic(\"p\", pm.math.invlogit(alpha[z] + beta[z] * x))\n",
" pm.Bernoulli(\"Y\", p=p, observed=Y)\n",
" fully_stratified_inference = pm.sample()\n",
"\n",
"\n",
"pm.model_to_graphviz(fully_stratified_model)"
]
},
{
"cell_type": "markdown",
"id": "f54f7275",
"metadata": {},
"source": [
"### Fullly Stratified Model posterior predictions"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "d189cf6a",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: []\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6337994f57214a5fa1f7a8413ab675b5",
"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: []\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e300ec14232c44e48be506e7621d5ee1",
"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"
}
],
"source": [
"# Get predictions -- partially stratified model\n",
"fully_stratified_predictions = {}\n",
"with fully_stratified_model:\n",
" for z in [0, 1]:\n",
" # Z = 0 predictions\n",
" pm.set_data({\"X\": xs})\n",
" pm.set_data({\"Z\": [z] * RESOLUTION})\n",
" fully_stratified_predictions[z] = pm.sample_posterior_predictive(\n",
" fully_stratified_inference, var_names=[\"p\"]\n",
" )[\"posterior_predictive\"][\"p\"]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "61302ede",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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59ttv2bNnDx06dOCSSy4pc1xFE92uXbsAqlVbv64SK81mM3a7nRMnTpQy0GvXrg1W3KnOxFrXFN1jv99f7uurVq0iJSWF1q1b065du3L3+fXXX3niiSfo06fPGTXGquo+luTkyZPcc889eL1e7r333lK19wcNGkSHDh3Yv38/ixYtYurUqTW+jkDQkBB2QNgBqNkc25DnPWF3LgxEB3tBhUZqzJgxALz77rucPHkyuP3YsWPMnDmTgwcPMmLEiFLJzRdffDGgdhcuecz27du5+eabcTgc5V6rshW1ouTFpKSkCjsEDxw4EICtW7eW+3rRhKXVann++eeDK39+v5/58+fz4osvYjQaefnll0tN6AcOHCgTw13E8ePHyczMpFWrVsFY7fqgqKfAe++9F/x89+3bx8MPP4zRaMRsNpOYmEh2dna9jRGK78Gvv/7Kxx9/XMp4/P777zz++OMA3HfffeUev3nzZu6//37atWvH7NmzKwzjqOjaFd3HkuTn53PHHXeQk5PD2LFjy1TVAYL5MZ988klw1flMryMQNDSEHRB2oKZzbEOe94TduTAQnhUBBw8eBMquZt10002sWLGCPXv2cNlll9GiRQsCgQBHjx5FURRGjhzJq6++Wiq2+NZbb2XZsmUcP36cyy67jJYtW+J2uzl+/DgjRozAYrFw4MCBMu7yylbUOnbsSExMDImJiQwdOpTmzZsjSRK33nprcPWsT58+NG/enE2bNpGZmUl0dHS553/ggQd4+eWXWbduHc2bNyclJYXs7GyMRiP//e9/yw1LaN++fbkrUkUVb0oa6fpg5syZrF+/nq1btzJ8+HDi4+M5dOgQiqLw6quv8vXXX7Np0yYmT57MpEmTKpyU65qS/Q1eeeUVPvroI+Lj40lLSyMzMxNJkrj33nsZPXp0mWP37dvHHXfcQXx8PB999FGl1W4qunZF97GIQCDAQw89xKFDh+jcuXOwxOTpjBs3jtdff52jR4/y22+/MWLEiDO6jkDQEBF24O9tB85mjm3I856wOxcGwrPyN+fkyZPk5+eTkJBQ5odoNBr5/PPPueWWW2jUqBGJiYnY7XYGDhzIG2+8wbvvvovJZCp1TJMmTZg7dy6DBg1Cp9ORnJxMdHQ0L7/8Mi+99BJHjx4lMjKyVOnEysYAEBISwv/+9z+GDBmCoihs376dbdu2laq8IkkSU6dOxe/3B41HEXa7nZSUFOLi4rj55pt58cUXgxO5RqNh4sSJLFq0qJTbv4j9+/dXGAe6dOlSdDodkyZNqvJzrksGDRrEe++9R48ePfB4PBw7dow2bdrw/vvvM3bsWJ599lk6deoUbJhWH3g8HhITEwkNDeWll16iQ4cOFBQUcPDgQfR6PePHj+ebb74pd0Xp+PHj3HLLLZhMJj7++GOioqLO+PqV3cciXn31VX777TdiYmJ47733giu5p6PVapkxYwZAMJzlTK4jEDQ0hB34e9uBs51jG+q8J+zOBYQiEJwj5s+fr7Rr1055/PHH6+T8eXl5Sr9+/ZRRo0Ypfr8/uH3jxo1Ku3btlFtuueWMzufxeJROnTop33zzTZnX1q9fr7Rr10559tlnz3rcfwd2796ttGvXTrn66qvP6LjU1FRl+PDhSp8+fZQDBw5Uuf8jjzyijB49utS2yu5jefvXlMquIxAIVIQdaFicyRx7pvNrRcecK86F3ano/Qm7U7uIMDDBOSEjI4PXX38dSZK45ppr6uQaFouFO+64g3//+98sXbqUCRMmAMVu4LZt257R+Y4ePYrX6y13xeLdd9/FbDaXuyIjKEvRPagogbE8HA4Ht9xyC8nJyTz22GM4HA527NhRZr+LLrqoTHWUklR2H2uTc3UdgeB8RdiBhkVtzLENed4TdufCQYgVQa2hKApvvvkm1113XalY4Z07d/LEE0+QmZnJtGnT6Ny5c52N4ZprriE/P79UvfSiOOUzmbBAnehkWS5zXH5+Pv369eOGG24oExMtKJ+aGI2//vorGEdfURyvTqersgxoRfextjlX1xEIGjLCDpw/1MYc25DnPWF3LhwapFhZtGgRW7duZffu3Rw8eBCv18tLL73E5MmTz+g8gUCAr776innz5nH8+HHMZjP9+vXj/vvvLxUrK6gdTp48yezZs3n//feJjY0lNjaWjIyMYIzs6NGjefLJJ+t0DHq9vswqV01X1CZOnMjEiRPLbLdYLNx99901H+TfkJo8KAwYMCB43Jni8/mQZRlZlsu9j4qi4Pf7y1RVORsq+r4Izi3CftQvwg6cP9R0jq1qfoW6mWPPlHNpd0p+JlD+90bYnZrTIBPs33zzTebNm8epU6cq7ZpbFc888wwvvPACgUCA6667jqFDh7Jq1SquvPJKDh8+XIsjFoBa5/2GG26gdevWOJ1O9u/fj8/nY/jw4bz77ru89dZblbpN64JAIMDhw4eRZZk2bdqc02sLiima/M/0QaEmHDt2jE6dOlXayfezzz6jU6dOLFy4sM7HIzi3CPtRvwg7cGFTnfkVGsYce67szvn0mZyvSEp9yt4KKConmJCQwIcffshrr712xitjGzZsYMaMGfTu3Zs5c+YEJ8f169dz00030bt3b7788su6egsCgaAeSEpKIicnB4Dw8HCaNm1a7n5ZWVmcOnUKUKsdnQsRJTg3CPshENQN1Z1f4e8zx4rP5NzQIMPAihpKnQ3z588H4J///GepVZwBAwYwaNAg1qxZw7FjxyrthisQCM4vmjRpQpMmTarcLyoqqkalKAUNH2E/BIK6obrzK/x95ljxmZwbGmQYWG2wceNGzGYzPXv2LPPaoEGDALUzqUAgEAgEJRH2QyAQCBoOF6RYcTgcZGRk0KRJEzQaTZnXi5IjExMTz+3ABAKBQNCgEfZDIBAIGhYNMgzsbMnLywMotwtuye35+fkVnsNms9VrFQuBQCA4XyjZRfx8R9gPQUNF8flRnG4Uh5uA003A4cKfnUcgw4Y3NYtAUia+1BwUWy5+uwMcbhS3F8XrA58f/AEIBCAgvpuC2qfpkbk1Oq469uOCFCu1QVhYWH0Pod5RFAW73U5YWBiSJNX3cP72iPvRsBD3Q1ARwn5cmL8PRVFQPD5VALg9BDxeFJcHxe0l4PKgeLzqv93qNsWjbg/YC/DnFuCzFeC35xHIdeDNzSdgKyCQ7yDgcKG4vCg+H3j9qqAQekJwPmHQER4eXmenvyDFSmhoKFDxylfR9opWzoALZnKtDSRJEp9HA0Lcj4aFuB8XFsJ+1C51+ftQFAXF5Sn0MqjeBqXI4+BwEch1EMhz4s93EChwEsh3EShw4ne6UArcBFyFfxxuAk4XitNTuM1LwONVvRFBj4RQD4ILCKmc/5TcVvI3K5V8XVL/Vgq3SyBpZBq/+I86nfcuSLFiNpuJiYkhKSkJv99fJu64KNZYNPYSCAR/ZxRFIdMRwO4O0CpCiywesv9W9kNRFFAUCCgoReFBgQCKPwBKyW2nvR5QQAkUbi+xrXAfRVHP4c7KoUCrx+90E7Dl488twG8vwJ9XQCDfqf4pcKlio/CP4vKoXgq3R/VieP2qx8EfQPH5RRiTQFAbKOX8p7xt1TyV91TW2Y+pEi5IsQLQt29fli5dyrZt2+jTp0+p19auXQtQZrtAIBBcaNhdAY7bfSTafZyw+zhh93My18fJXD+n8ny4/ep+D/W3cn9/a/0OtoFQX/bDufsoKU9/TCDPoQqJoAhQwO8P/ltRThMOhbkISjWEh+L3F54vUOvjL4/0c3IVgeA0Clf91b8lkCUkWQZZRtJIIGuQtDJoNUhaDZJWi6TTIBn0SHotslaLpNeCXotsLNym04FGVj0IJc8rSSDLwetJconXpcLrSqjXLvGay+PGaDQGx4VE8b5Fx2rkYg+GJJfyZpQcA0UeTFmicGf1WvJpYyi5P4X/lmXVeVLqPZw2Drn42sH9C9+3bNRj6lG3PWPOe7GSnZ1NTk4OERERREZGBrdfddVVLF26lDfeeKNMU6+1a9fSp08fUSNfIBBcEHj8Cok2H4dzfBzO9nIkx8cxm4+jOT5yXJU/lEpAuFGmZXjZylcXOg3NfuT/voP81dtr/bwCQYNDktQHf50WSadFNuiQTAZkox45xIgcYkK2mNBYQ5CtZrRhFjThFjQRVjQRFrTRYWijw9FEhSFbjMjy+VXcVlEUbDYb4eHhImy0GjRIsTJ//ny2bt0KwMGDB4PbNm3aBMDIkSMZOXIkAHPnzuWdd97h7rvv5p577gmeo3///kydOpX58+czadIkhg4dSlZWFsuWLcNisfDss8+e2zclEAgEZ0lAUThh97M/08u+TC/7srwczPJyzObDV4kmiTTKRJhkdDL4ApDnCZBRECCA6sLPcQVYn+zmig4h5+qt1Bnns/0wdm6FJiYcvz0fPL46uUaDRKtBMuqRzQZks7HwATUEbVgIcohR9Qj5/PjzHfhz8vGkZeNPy1aT0QXF6LXFK+AopcL0ajVpX5ZVb4RBh2TQIZsMqrAINav3LdyCJiIUTVQYuphwtDHhaBtFoI0NRxcfhVyi0apAUB0apFjZunUrP/zwQ6lt27ZtY9u2bQAkJCQEjU1lPP/887Rv35558+bxxRdfYDabGT58OPfff3+tror5/X68Xm+tna+hoCgKHo8Hl8vVYJS/VqtFo9E0mPEIBHWFP6BwKNvHX2kedmd42Z3uYW+ml3xP+U8cITqJluFaIkwyGgkcXoUMR4ATdh/ZrgDZVXhYfj3mqou3cc453+xHSWzf/oY/w1Yn5z4XyCEm5LAQdQU8KgwlzIypcQy6KCuaSCuacAvaCPVvTdEDrdWMpNHgTc8hf+NeHBt249xxGPehkziycy94QSIZdEGBpokMRYqwIMka8PqKq4wVFg0oyulRPN7C/J3T5gKPr/p6RJKKBYfJgMZiQg41q/co0oomOgxdbAS6RpHoGkejaxqLtnEUWou5tj8CgaBKJEUUg68xiqKQmpqKzWar76HUGYFAoMG5VzUaDbGxsRdUSczqINzGDYvavh9pBX62pnjYluJmW6qHnWlenL6y07NBA+2idLSO0BKil/D6IaPAz4EsL6fya56HMKSZga8nx5zNWxCcJUeueIyCP/6qnZNp1NVvZFnNXfH6ziwxXZLQRFnRxYSjKQy50UaHoY0KKwzBCUMTVfj/KCuaiFD1eoUE/H6yjycT4lbwZ9rwZdjwZdrxpGbh3pOI6/BJfOk2FKdHXfW/0Cj6/OKj0TeLRdu8Edpwi+rwsBfgTc3Gl56DLz0Hvy0ff74DxeWt+Weh1aihVEXCJzwEbZTq0dDFRaJrEoM7IoSozq3RNYlF1jbIteq/DcKenxni23oWFAmV2NhYzGbzBfeFUxQlWA2nIbw3RVHw+Xzk5uaSkpKC0+kkPj6+voclEJwxiqJwzOZjfZKbjac8bE52cyK37ApyiE6iS6yOLrE6YkM0uP1w0u5lR5qXRQectdqK4UjOhecdPt8IHdajjFiRLSZkqxnZbETW60CWUHwBtYeHw4U/twDF4S57Mn9hcv1paCJC0TaKRNcoojA0JxJdrBqioy36OzocbZQVSVM2j8mf58CXlo03LQdfWjau3UfxpufgS1MfvL3pOaowSc+p3ST+osTgwiIC5wQJJKMeNLIqJHzle3m0LeLQN41FYzGpYqSw+pkv047n2Clce4+d+WchSWouh9mAbA1R71uMGkalS4hB3zIeQ6sEDG2boLVW7e0oejjWi4djwXmIECs1xO/3B4VKVFRUfQ+nTmhoYqWI0NBQDAYDmZmZxMbGliktKhA0RJJyfaw96WbtCRfrktykFZR+eJGADtE6esXr6d5IR4RRQ3Kejw3JHn444CTTUberz9qG8xP/2xJx3Sg8J9PxJmXgy7ThTcnCl5ZDIN9Z5bFyiFEN14mPQhsfpT7Uxkeji4tUxUl8JNrYSGSDrtzjAy4P3tQsfClZFOw7gTc1S139L/zbm5aNLzW7WmM5K4qqDJ0uSBQF/HUjUnRNYtAlxCAZdAQcbnynMvGeygQF1fMTHJuEHBaCpNOC30/ArTaF9CWm4ktMrd7FZAlJr0O2mNBGhKKJCUffOBpds0aq+GjfDFPHZshmY528V4HgfESIlRpSlKNiNov4zfogJCSEjIwMvF6vECuCBonTG2B9kpvVx938dtzF0ZzSCdMGDfSM09OviYG+jQ3EhchsS/Wy5oSLl/7MJct5ZuKkSGvU9HHOqG1Y4Z5/R3K+/IXsOcvKbJcMOnU1vWmsKkgSYtA1iVEfchtHo2sSgxxasXc/4HTjTc6gYMMevIUP4t7kjMJ/Z+FNycSflVv9gRaVR62L8C0FVZiURALJoFdLMHt8ZV+vDloNhlaNMXZojqF9UzRhIfhy8nAfSiZ/w268G/eWPUaSSl9LUQjYym8WCqhlXE0GNGEhaGLC0TWOxtAiDkObJhg7t8TQsbnI+RAIaoAQK2dJQ/I4/J0Qn7ugIZJW4GfFUScrjrpYe8KFq0TUiEaC7nF6BjczMLCJgc4xenakefg10cUzv9s4lF396k8SoCms7FXE2a45Zzgu7ETm84GIaZcQcHrQWEzomsaq4qRpLNqYikN3FEXBn5WLc8chPCfS8SapnhlPcgbepHQ8SRn4M+3Vur5k1KOLj0ITFkLA58ef5yCQU0CgwFE6jCmgUONvnCSppWijwpD0Wvx2B760rNKeFAk0UVYUv0IgJ0/1cLg8FZ/zNHQJMRg7tcDYqSXGi1pg7NgcWa8n66tfyF+5ldxfNlXvfKeJIkmvQw41oY0OR5cQjb5lPMYOzTF1a4Opcytko6hyJRDUBUKsCAQCwVlwwu7jpyMulh12sjWl9ANQ41ANw5sbGd7CyMCmBvwKrDzqZM5fBfx+PIsCb/Ue+DQS6GRw+wsXnqHSUsU1wV1HITaC6qOLjyLusevKbPfZ8vAkpuI5nobneCrek2l4TqTjOZGG52Ra+Tkrp6GGicWgSyj0zDSORhMVqgqdnUdwHzqJNy0HT2JKrZW4laNCMXVsiblPByyDuyNbDOT/8Re5S9bh3HG41L6SQadWuPKrJXb9mdXw9MgyxvZNMXZtjalLawydW0JAwbXrCM7tB7Ev/pPM9xehOKv+fADQatCEmtXckKaxGNo2wdS5NeY+7dG3TmhwxWYEgr8LQqwIBALBGZKc5+PHgw5+2Otkd1ZBqdd6NNJxaWsTl7Y00jFaR6YjwLLDTv6xJIv1Se5qhd1rJDDrJNw+BU9ADdX317Hj45IWIka+vgm4PNgW/I774Ek8iam4E1PwJKYSyC2o8lhtXCT6JrFBj4w2IRptRChIEorXhy8rF/eBEzi2HcSx9YCae1KDcCrZYkYy6QkUuFAcpctd65rGEjqsB5Yh3TEP7EyBQcZsd2FfuIZTT36Ie29ihedV3FUXeDC0bYKpZzuMnVqCAt5TGbj2Hadg/R7si/+snijRyGisIeibx2Foq4ZnmXt3xNyrrej/IRA0UIRYEZRL+/btq9zn9EZqNeGLL75g7ty5JCUlERsby+TJk7ntttvQ6cpPAhUI6os8tyo6vtvnYH2SO7j4LEvQP8HAuLYmRrc2EW/RkOMKsPSQg2f/sLPupLtaC9VWvYRGhhyXgl+BvAr6qdQVF2Dx2POOzA8WkfrcnHJf08ZGoG8eh755I/TNGqFr1ghtTLgqRlwevKcyVU/L8VTyVmzGcyKNQMEZ9M7RyoBUpuKVJjYcQ+sEFKcH175EAvkOyHcAIJkNWAZ3I/SSXoSO6IW+ZTySJOGz5ZGz4A8yP1mCd+/xyq8rl5NMD6CR0XdohqlDcxSPD196Np4T6dh/WINt3qrqvSdZQtc4GlOfjkReMxLLiJ7COyIQnIcIsSIol3nz5qEoSrDPSlG8tM/n45FHHiEtLY2hQ4ee1TVmz57Nm2++ya233srAgQPZtWsXb7zxBmlpabzwwgu18TYEgrNCURQ2nfLw1e4Clhxy4irR96RfYz2XNoUpXSKJtWjx+BVWHnPx5L4Cfj3mwlvF079OhmizTIEnQK4Hcs+xODmddpFigaC+CRs3APeBE8jWEAwt4tA1j0NjMaP4fKoYSUzFk5hC/u87cB9PrXYuSikkkMMs6BpHIZmNeE9k4E/PLo4rlGXMPduijY/Cl5qtemLSbcHDdU1jsY7ph3VUX0IGdgnmaSiBALYFv5M5eyHOHYcqFCCyUV9aRJXcT6dBG2EFjYw/Jw/PnkQ8exIrfi8auUxJYE1CNOHjLiZsbH9CBnRWK3cJBILzGvErFpRL9+7dyy1d/OKLL5KUlMTzzz9P165da3z+nJwcZs+ezVVXXcUDDzwAQL9+/fD5fLzxxhvMmDGDNm3a1Mp7EQjOFJsrwLd7C/hyVwFHSlTxah2hZUpHM5Pbm2li1WCz2TjlCPDOFhsL9jvIqaJLvEUvEWuWySjwk+eFlLNo4ni2yBJ0jdXRv4mBi5sYGC7CwOodTUQouoQYXAdOULB2J+7ElKrzUbSawrK+5X+XJJMBQ5sEQi7ugrFTC1y7j2H/8U/cJTwecogRy9DuaGMj8BxLIf/PXbDlQPB1Y6eWhI2/GOu4ARg7tQzag4DLg23hGjI/XIRz60G18WSpi0vIoSZVnPgD4A9U7u3x+tX+LKe/B7MRXaMINFFWAi4P7kPJ4PYE37O+TQLhlw/COmEgpq6tRQEWgeACQ4iVWiRv9XZyvlqBp7r11usYfYs4Iq69lNBhPWrlfAsXLuSLL77gyiuvZNq0aWd1rjVr1uB2u5k8eXKp7ZMnT+b1119n5cqVQqwIzjl7Mjx8siOfhQeKvShmncTEdiau7hRCr3g9kiTh8Ab4Zk8Bn+1wsiuz8nyCcINEglXDyVwfuW6FfM+ZJZ9I1Fq+M20jtQxuZmRQUwP9EwyEGUVITEMi+/PlpL/2TemNshwsWYxWxpeWgycpozhf5PSwrTALxq6tsI7uS9gVQ1BcHnK++RXb96vJ+mBR8WlDzVgv64++ZTzugyfJXb6xVM6HsWtrwicOIuzyQRhaJwS3e5IyyFuxiZxvf8OxZX8ZkSQZdCDL6rkUhUCuo9rvX9Jp0caGo2/TBHOv9liG9UAbE4Zt3ipy5q3CU0JA6Zo1InzKUMInD8V4UQshUASCCxghVmqJvNXbOXbV0xV2uK0PHFv2Y1u4hpbzXyB0aPezOtfevXt55pln6NKlC88880yp1/x+P0o1EjVlWQ7GCx86dAiAdu3aldonNjaWiIiI4OsCQV0TUBRWHnXxv+35rEsqfljrGK1jRtcQJnUwY9Gr39tjNh+f/ZXPN7vzyaskH9iql2gfpeNkro/UggC2jOqXJYbSAuVshEqYQWJocyPDmhsZ3MxA41Ax5TdkIq65FMXjQxNuQRsfhT87l4KN+8hfvZ2C9bvLPUYTZsHUuz3hEwdhHd0PbUw4/lwHtoV/cGLmLBwl+odIZgNhYwcQMrArnsQUbN+uwvZtcf6Hvk0CEVOGET5lKIY2TQA1FNLx12Fyl20gd9l6XHuOlR2ETgNe1fZVJ1EeQLaY0DdrhKlra0KGdMM6qi/aSCsAAbcX++K1pM/6koJ1xe9bE24hbNIQIq4agblvRyFQBIK/CcJy1RI5X61oUEIliM9Pztxfzkqs5OTkcPfdd2M2m3n77bfRn1Yx5dJLLyU5ObnK85RMyLfZbOj1+nKbaoaFhWGz2Wo8XoGgOrh9Cgv2O5i9NS8Y6qWRYFxbEzd3t9C70IuiKAp/nnTxwbZ8fj1WcQiLXgO94vTkehT2ZnjZnFL9vhBQewKlc4yOS1oaGdHCSPc4PVq54gc6R2Hjyj0ZXia1N9M0TJiE+kRjNYNOS/bcX3DtTSw370My6TH3bE/YFYOxju6HvkkMUCgqNu8n5bk52Bb+URw+JsuEDu9B2JShSLJMztcrSb7/reJrRoQSPmUoEdMuwdSznfqd9/spWL8b++I/sS9Zhzc5o/KBe6u2fZooK9bxAwkffzEhQ7sha8t+19yJKWTPWUb2VyuKm1TKMqEjehIxfRTWMf2QDSK3SiD4uyEsk6BS/H4/DzzwAKmpqXzyySfEx8eX2Wf27Nl4PFU/mMXGxpb6v1gVE9QHTp/CV7vyeW9LHqkFaghLmEHiui4WZnQLIaHQ++ALKCw54OD9bXnsSq94tbhjlJamVpk/T3pYn3xmAqVkIaTKBEploWA6GQY3MzKqlZFLWhor9Z4oisKRHB+/Jrr4LdHFxmQ3RVFpWc4Azw0NP6PxC2qXU49/QPbnP5feKEkY2jYhbMJAwiYMxNi5JVKJilb+PAe2734j6+OlqsApxNC2KRHTL8UytDu5S9eT+twcfGk5wXNahvUg8vrRWC/rj2zQqQJl3W7sC//A/uO6cnNHzhidlshbJ9D4mZvKFSegfifz//iLrA8Xk7t8Y7Ccsq5xNJE3jCFi+ij0CdFnPxaBQHDeIsRKLRFx7aXYFq5peN4VrYaI6aNqfPhrr73G+vXreeSRR+jfv3+5+7Rp06baYWBFhIeH43a7cTqdmEymUvvZ7XY6d+5c4zELBOXh9Cl8sTOf2VvySHeoIiUuROYfPUO5rktIMNTL7VOYv6+AdzbZOZlX/vfaopcY08rI3nQXe7N87Muq/ji0EhQVFSuvYFIRlXlaQnQSI1saGdPGxIgWxuDYy8PjV9iQ5GbFMRe/HnNy3F56jkoI1TCsuZHbe4VW/00I6gRd8zigMOF9WE/CJw8hdERPNGGWMvu6jyST+b8fyflqhdozBbUDffikIURePxpkmaz/LSb1xc+CdkkbG0Hk9aOIvGEM+qaNUBQF57aD2L5bjW3RGnyp2cUXqKikcAkkgw5d01gCLg++pGLvi2TUE33HFejvnEBkZGS5C1MBjxfb97+T+e6CUiLLMqIXUTPHYb20D5JWU+3PTiAQnHvWnnQxf6+Dm7pZ6B5Xd32KhFipJUKH9aDl/BfImftLw0qwnz6qxiFgS5Ys4bPPPmPs2LHcfPPNFe5XkzCwolyVgwcP0q1bt+A+GRkZ5OTk0LZt2xqNWSA4Ha9f4Zs9BbyxMTfoSUkI1XBPn1CuuigEg1Z9kHL5FL7aXcDbG22kO8s/V6doLT3j9Sw95OS7/RXsVA66QoGiUCxUyqMygWLRSYxuY2J8WxNDmhkxaiv2TNpcAVYluvj5iJPVx13klyiLrNeofWGGt1BDxVpHaIWXs4EQ+8+riJx2CdpGEUiasg/qiqJQsHYnGe8uIG/FlqAXwtC2CZE3jiX8quE4Nuwh5dlPcGzaFzwuZEAnomaOxzr+YmS9DvfRU6TO+hLb/N/wHEspvkBJgVKOUJFDzZi6t8E6qi/WyUPI/ngpGW9/VxwGptMSfct44p67GUmjKTec15/nIPvTn8h4fyG+FFXlyyFGIq4ZSdQtEzC2a1rDT08gEJwrDmZ5eXGtPRgaHReiEWLlfCF0aPezTmRvKOzfv5+nnnqKtm3b8uKLL1a6b03CwAYPHozBYGDBggWlxMoPP/yAJEmMHDmy5oMXCFAf7JYccjLrTzuJhd6EhFAN/+xn5cqOZvQa9QHd41dFypsb7aQ7yj6gaWUY18aEX1H4+YiLPZnVT5bXyeANgLeGAsWolRjVysgV7c0MbV65QEkr8PPzESc/HXayLskdbJsBEGuWuaSlkZEtTQxuZiCkEk+MoP6QJLWJ4ekoPj/2RWvJeOd7nH8dDm4PHdWH6NsmYr64M/Zvf+PImAfxHDmlnkuvJXzKMKJuvRxztzb4cwvI+fpXcr5eUUrIlOI0gSLptZh6tif69omq0Cn0jtt/3sjhgXfit+UXDZzwK4fR5M37ivuunOZt9+XkkfnBIrI+XBw8ThsXSfRtE4mcMQZtuPDsCQQNHZsrwKvr7Xy+swC/otrH67uEcHefuv39CrEiKIPdbueuu+7C4/Ewc+ZMDh48WO7Ka2RkJM2aNatWt/vTCQ8P54477uDNN98kPDw82BTy7bffZurUqaJsseCs2HLKzfNr7GwtTHKPNsvc19fK9M7FnpSAorDwgJNZa3NIzi+rJkJ0Ejd1M7M91cOig9X3ougLBYoClTaG1EjgV8oKFFmCwU0NTOloZkxrU6XCIiXfz7JDDpYccrL5lKfUudpHaRnVysTo1ia6NdIhC+/JeUfA7SXn65VkvDU/6LGXTAYip19K9G0T0TWOJvvz5STd8wbeU5mAWh0s8uaxRP/jcrSNIihYt5tj1z1P3i+bKKVgK0KWCL20D03fvh9tdFiplzwpWRy//gWc2w4Gt5n7dqTZnMfRx0eVezq/LY/M9xaS+cGiYLiavk0CsfdOJfyq4ch6kTAvEDR0AorCN3scvPSnnWynOo+MaW3k8UFhtI6o+9+wECuCMuzfv5+kpCQAHn300Qr3mzRpErNmzarxde644w5CQkKYO3cuH3/8MTExMdx6663cfvvtNT6n4O9NSr6f/1tj44cD6kORSStxZ+9QbutpKfXQ/8dxF0//nsOh7LI5ZjFmmbt6W/hun4N3tlTeQ6Ukeg14/OCphkCB4r+LaBep5aqL1FLJcZaKY/UzHX6WHHKy+KCDTcmlBUrPOD1j25gY08ZEy3AxvZ+vBFwesj9fTsab8/EWhkppIq1E33o5UTPHIZuNZH/2E+lvzg8mzWvjIom5czKRM8bgz84j6cG3yfttO7iqV/RBMuiIvnMSjR66BtlkKPN66v99Tvrr30JA/YJrG0XQ7ONHsVzcpdzz+fMc2N9eQPLHPxHIU3utGDu1JPaBaYRdPrDcMDeBQNDw2Jfp5eGVOWxLVeeSdpFanh8WzuBm566RsKRUJzNaUAaXy8WxY8do2bIlRuOF2fm5vA72DYW/w+d/OoqiYLPZCA8Pb3D3o77x+BX+ty2PNzbl4fAqSMC0Tmb+NSCs1IP/oWwvz6zO4fcTZR/gmlg13N3bwic7CjiYXb1QLxnVE1JZHgoUh4OdjkUncUUHM1d3CqF7I12F9zXfE+Cnw05+2O9gzUl3qWid3vF6xrc1MbatKVjJTHB+ovj8ZM1ZRvob3wbzOXTxUcTcM4XI68cg6bVkf/Ezaa99U/x6kxhi778KTXw0We/9gGPzvvJ7nUhSMMelFLJE5MzxxD18LdqosDIvO/cmkjjtabzJqucGrYbYB6YR9+h15b6HgNtL9pylpL32TbD8sLFjcxo9Mh3r+ItLVTITnDuE/WhYnA/3w+lTeGNDLu9vy8MXUAvLPNjfyk3dLOg053bMwrIJBILzmo3Jbh75NYdDhQKjV7yeF4eF07VRcbJfrjvAq+tsfPxX2W7aTa0a/tknlPe35/PoKnu1rlkU6hWg4oJJmsJnwwBlhUqveD3TO4cwoZ0Js678hzdfQGHNCTff7Stg+REXrhKKqFsjHRPbmxkvBMoFRdYnSzn16PsA6BJiiH3gKiKuHYWk02Bb8Dtp//4iGA6miYvC3K01nsQUkv81O+jxKIlkNiJpNQRyC4JCRdJpUbzqb8UytDuNZ92OsX2zcseT/Oj7ZP1vcTBW0dSrHS2/ea5cUaMoCvYFf5Dywqd4T6QBoG0RR/yTMwi/YrAQKQLBecSWU27uX5HD0cIeZJe1NvL8sPB6aywsrJxAIDgvyXEF+L81Nr7eowqQaLPMk4PCmNLRHMzPUBSF7/Y5eGxVDs7TnCXxFnX/d7bk8eCvtmpd06gBVxWhXkX7nB7mFaKTmNzBzPVdQ+gUU3HVlINZXubtLWDBPkewxDJAqwgtk9ubuaKDWYR4XaCY+3Yk9JJeWC/rT8T0UcgGHflr/uLUUx/h2nkEUMO1JK0Gf2oWealla2ZrYiLQt47HufsYSr4TBTXPRRsbgfd4KorXhy4hhsb/9w+sEwaWu6rrOnSSY5OfCHpTJKOeJm//k4gpw8odd8HGvaQ8+T8cWw8AoI2PotHD1yJd1pvwmOgGu3IsEAhK4/Ip/Ge9nQ+35RNQoFGIzL+HRzCmjanqg+sQYfEEAsF5x89HnDz6a07wYX565xAeHxRGuLF49fZwtpfblmSy/7S8lAijxLNDwvliVwF3La9e4zuTBpx+VYRUhFkr4fApZfZpGa7hpm4WrroohFBD+avLee4Aiw46+GaPg+2pxSFqkSaZK9qbmdLBTLdKwsQEFwbm7m1pOf8FAFyHkkh+8kMKVmwptY/i9pYJ85JDzVjHDcCfk0feii04M9Tvtb5VY8w925H7y2a8x1NBlom+4wriHr0OOaT88Nn0N75Ve7MUugxDBnah5bznkM1l9/emZJHy3CfYvv1NHUeIkZh7ryTmrslIJkO5pYsFAkHDZG+Gh7uXZ3MgS13Zu7KjmeeGhpeyq/WFECsCgeC8Idvp56nVNhYWJtC3idDy6qUR9GlcnBDs9in8Z52N2dtKJ8cbNPD0YCtrT3q475fqiZQiL4mzEpFi0oLTB47TEleGNjNwSw8Lw1oYy63EpSgKW1M8fLW7gMUHnTgLj9fKcEkLI9M6hTCihfGcxwYL6hd3cgYnbn4J5+b9Ve5r6N0e64DOFGzYi+2bX4PbLUO7Ez7tEmwL/8D23WoATN3akPDGvZi7lV9p0Zfv4NgVjwcrfUl6HQlv3UfkVSPK7Kt4fWTM/oH0/3xNoMAFkkTE9EuJe/wGdHGR6j4iHVYgOC8IKAofbc/npT/tePxqkZn/jIzg0lb1600piRArAoHgvOC3RBcP/JJNuiOALMGdvUK5v7+1VO+R7Slurvkhg7wS+fMScHM3MzqNxNOrc6lEdwQxaMBdiSdFI6nVv5w+SoWX6WSY0tHMP3qE0iG6/HKOee4AC/Y7+GJXAfsyi1fI20RouaZzCFd2NBNtFpWS/o6ceuojMt9dUGZ7yTwTZBnruP4Y2zfDvuhPMt7+Xt1HryV86ghi7rgC1/7jJD/0Ln5bPpJeS6NHphNzz5UVdoTPX7eLY1c9jeJwA2Do0IzWS15BG2kts2/Bhj0kPfAO7v3HATD37kDjl2/H3KNdbXwEAoHgHJLt9HPv8mx+O67+9i9tZeS1kRFENTAbJMSKQCBo0Di9AV5ca+fTv1RPSdtILW+MiizVLdflU7jvpyyWHHGVOrZPvJ5rOpt59nc7uZ6qV3r1spqP4q5ApOhk1fNxukgJ1UvM6Gbh5u4WGoWUP8kfzPLy6V/5fLfPQUFhl0ijBsa3MzO9cwh9GutFmNffnIJ1u4P/1kRZQSPjT7eheH1IBh0R0y5BGxdJztwV5P64DgDZGkLUzHFE/+NyZLOR5EfewzZvFQCm7m1o+s4DGC9qUeE1U1/6gvT/fK3+R4KYe6cS/8xNZfbz2fJIfeYTsr/4OTi++OdmEnH1JSJ5XiA4D9l8ys3ty7JJzfdj1MDTQ8K5oWtIg7RDQqwIBIIGy/5ML3csywqWEp7Z3cJjg8IwlfCmbD3lZOr3WaUERrhR4r8jI5i1LpcHVtiqvI62sPxwRYnzeo26j8NXurJXpBFu62VlRldLufko/oDCymMuPt6Rz58n3cHtbSK0XN81hCkdQ4hoAPHAgoZBy59eIfWpT8hdvQ3fIbXXlWwxEXn9aGRrCNmf/YQvNRtQ+5xE33EFUTeOQ2M149iyn+O3vKxW4pJlYh+YRqN/XYOkK9/MBzwejkx4NBhuJocYabng/wjp07HMvvYf/yT54feCPV0irx9N3DM3let5EQgEDRtFUfhgWz7/XmvHr6jFWz4YG8lFlRR+qW+EWBEIBA0ORVH4ancBT6+24fJDrFnmjdGRDG1enOTrDyjcsiSLX44We1Mk4L6+oZzK83PzkuwqryOjlhauqE+KXqN6P3I9ULIzS1yIzJ29QxnbxEtcdGiZlag8d4Cv9xTw6V/5HLerKkqWYHQrIzd2tzCwiaFBrl4J6hf716vI/t9ioMhjMh45xEjWh4vxpatCQZcQQ8w/pxI5fRSyUY+iKGS8s4CU5+eAz4+uWSOavf8QIf07VXgdz8k0Do24r7gPSqeWtPrpP2gt5lL7+TLtJD/0LvbFawEwtG1CkzfuJWRA57p4+wKBoI5xegM8tDInmPd5RXsTL18SgUVfs0Uzp09hdaKLQU0NFRaQqQ2EWBEIBA0KhzfAwytzgl3ohzU38OboyFJ5HAczPYz5Or2UN6VDlJbbeoTw5O+5wTCrypBQhUp5aGU1tCvHpeApcY14i4a7+4RyTacQ9BrKVDtKyvXx8Y58vtpdQH5h2Fm4QWJ6FwszuoaQYBVTrqBijO2aYOrWhtBL+6AJDyHz3R+CHex1TWOJfeBqIq65BFmv5kP5cvI4eedr5P28CYCwKwbT5I170VhDKrxG7sotJE5/HgpzYCJvGU+TV+4ss5996TqS7n8bf6YdNDKx900l9qFrkI0Nd/VVIBBUzAm7j5k/ZrE304tWhmeGhHNTt5qHfe1I9XDfz9kczvFxa08LzwwJr90Bl0BYToFA0GA4kuPl1iVZ7M/yoZHg0YFh3N7LUqqa1sMrs5m7u7i5o0aCfw8PY95eB/evrLqpo0ZSe6CUJ2ck1H4tGY4AOa7iPWLMMvf1tXJt5xAM2uIeLkXsTvfw/tY8Fh90BvurtInQ8o+eFqZ0MGOqoPGjQFASc/9ORN81ibSXvsRzLAUobA754NVEXDsyKFIAnLuOcPyG/8NzPBXJoKPxv28l8saxlT54pL85n9Tn5qj/0cg0ee9BIqcOL7WPP7eAU4++T05hdTFjx+Y0ee/BCquICQSChs+mZDczl2SR7QwQbZb5YGwU/ZsYqj6wHLx+hTc35fLWpjz8hb1YpnQwV33gWSDEikAgaBD8fMTJfT9nk+dRiDXLvD8uin4JxZOp3eXn4jmp2NzFIqF7rJbL2ph4/Dd7mSaMpyOhCpSK9ou3yKTkB8go0YgxzCBxb18rM7qGlBEciqKwOdXPp6sz+f14cT7KwKYGbutpYXgFJYsFgorI/vxnku9/CwBtTDixD15N5IzLkA2lK8vlzPuVpPvfRnF50DePo/lnT2Dq2rrSc5+887WgAJFDzbT5+TWMHZqX2qdgwx5O3P5qMO8l5t4pNHrkujLXFwgE5w/f7SvgXytz8PihS6yOjydEkVDDTvTH7T7u+ik72A/s8nYm7ukbSseoup0jhFgRlEv79u2r3Ofuu+/mnnvuqfE1Pv30U7Zs2cLevXtJTk6mb9++fPHFFzU+n+D8RFEU3tyUx3/Wq/Hz/RL0zB4bVaqq1tydeTy8qthrIkvw3BArn+9y8NK6vOpdp4LtMWYZmytASn6xSDFqJW7taeGOXqFYDWVFyspjLt7enMfWFE9wPBPamrijdyhdYkWYjKBmGNs1wdS9DdZxFxN920Q0ltJ9DhSfn5RnPiZz9kIAQkf2pukH/0IbEVrhOQOBAEfH/gvHpn0A6Jo1ou0f76K1Fq+EKj4/aa9+Tfqr30AgUK28F4FA0LBRFIXXNuTy+kbVRo5tY+LN0RGYa+jp/35fAY//ZiPfo2DVSzw7NIy1Jz1c+mU6D/W3cn//uiu4IcSKoFzmzZuHoigEAgFkWQ6GFvh8Ph555BHS0tIYOnToWV3jm2++wWw2079/f3777bfaGLbgPMPpDXD/Lzn8eEjNT7mpWwjPDAkPNkIMBAKM/yaDv9KL+5E0t8pMvSiEp3/PrVCAFFHkTSkPq0FClijlSZEluKZTCA8OsJYpQRxQFJYfcfHmxlx2Z6jj0ctwdacQbu8dSvMwMZ0Kzo6QAZ1pu+qtcl/z5xZwYuYs8n7dCkDsQ9fQ6NHplZYNDjhcHBx8VzCkzDygM61+nIVc4hhvShYn/vFysGxy+LQRJLx8Jxpr3YZ1CASCusPrV3h0VQ7f7FFDpu/uHcojA6018vY7vQEe/83Gt3vVc/VtrOehAVaeXm0LhmxfFCM8K+cNf5xw8e2egmD1n/qmeZiGqzqFMKSZseqdT6N79+4oioLf70ej0QTFyosvvkhSUhLPP/88Xbt2PavxLVu2LGg0x48ff1bnEpx/pBX4uXFRJjvTvehk+L/h4UzvYgm+fjjbw6i5pZPob+5qZl2yh1c31NybopXVal5JeaXT60e0MPDk4HDan+bODigKyw47eWNjXrCJo1kncUPXEKa18tO2cbio7CWoU9zHUki8+lnch04imQw0fe9BwicOqvQYX5adAwNuVxPkgYjpl9L07ftL7ZP361ZO3PEq/kw7ssVEwn/vJuLK4eWdTiAQnCc4vAFuW5rNqkQXsgQvjQjnuhK29Uw4lO3ltqVZHMjyIUvwQD8r7aO03PxjFvkehRizzOyxUQyoYf5LdRFipZb444SL6xdm4quovFA9sC0Vfjzk5MsrohlcA8FyOgsXLuSLL77gyiuvZNq0aWd9Plk0Evvbsj/Tyw2LMknO8xNpkvlofOn8lLc22Xm5RHiXXoZ7+4TwxuaCs/qNNQvTkJzrLyVU2kRoeX5YeKmyyKC60JcfcfHahtygSAnVS9zU3cI/eliIMMplqoEJBLVNweb9JF77LP6sXHSNo2nx1TNV5qd4TqZxcOCdBPJVj2Xsv64h7rHrg68rgQDp//matFe+AkXB2LkVzT95FEObJnX6XgQCQd2S4wpww8JMtqV6MGolZl8WyajWpqoPLIeF+x08tDIHp0/NI33nskg2Jnv4x1K1LUB5Idt1hRArtcS3e87uIaqu8AVg3p6CsxYre/fu5ZlnnqFLly4888wzpV7z+/2lKiNVhCzLQqAI+OOEi1uXZJHnUWgVoeWLidG0CFenIq8/wBXfZrAjrTjsq32Uhhizhlc3FtT4mpEm9Xt3ooTX06KXePTiMK7vGoJWLvaMKIrC6uNuXllnZ2dh+JlFL3FLDwv/6BFKeGETx+p85wWCs8H+45+cuO0/KC4Ppu5taPHVs+jiIis9xnXoJIeG3oPiUvOpGv/nTqJnFnuufTl5nLz9VfJWbAYg8qaxNP6/W0VJYoHgPCejwM81P2SyL9NLuEHis4nR9G585h4Pr1/h/9ba+d/2fAAGNTXw8iXhvLDGzvIjal+zm7tbeHpwWDBku64RYkVQJTk5Odx9992YzWbefvtt9PrSRu3SSy8lOTm5yvOcbUK+4Pxn4X4H//wlG29AXZX5eEJ0sIN7os3LpXPTcZTokTK5vZGVx9wcyKpZaKUsQatwLYdzfMFtEnBNZzOPXhxGlLn0itDmU25e+tPOxmT1QS9EJzGzh4Vbe4aKTvOCc0rmh4s59dgHoCiEju5Ls/89Uibh/nScu49y+NL7UdxekCSaffJYqXAx555jHL/uBbXcsVFPk//eQ8TVl9T1WxEIBHVMcq6PaQsyOWbzEWuW+XpyDB2izzyPJNPh5/alWawvtIH39Anl2s5mbv4xm32ZXvQamDUigmmdKu7lVBcIsVJLXNUphB8PORucd0Urc1ZfKr/fzwMPPEBqaiqffPIJ8fHxZfaZPXs2Ho+nnKNLExsbW+NxCM5/PtqexzO/q/Hzl7cz8caoyGDPkh/2F3DP8pxgjokEjG9rZMEBV/knqwbNrBqynP5SQqVTjI5XLomge1xpwX0gy8usP+38clS9nkEDM7pZuLt3aBlBIxDUJYqikPbSl6S/+jWgej4SXr4DSVv599Cx/SCHxzykNnuUJVp89SzWUX2Cr9t//JOTd75GoMCFvkVhueMulYeTCQSChs9Ju48rv8sgKc9Pk1AN30yJoWX4mT/e7073cPOPWSTn+bHoJd4YFUm8RcPEeRmkO9T+LB+PjyrlrVEUhaRcP02smjrN3RRipZYY0szIl1dEM6+BJdhP6xRyViFgr732GuvXr+eRRx6hf//+5e7Tpk2baoeBCf5+KIrCK+vVBlKguo+fGxqGLEkoisIDK3KCVUYALDpIsGr58VDNhIpBA02tGg7nFP8OzTqJJwaFcX2XEDQlQr5S8/28ut7OvL0OAoraMPLqTiHc399KvEWIFMG5RfH7SX54NtlzlgHQ6LHriH3omiofAhy7jhQLFY1My+//j9Ah3dRzBgKkvfIV6a98BYBlaHeaffJYpeWOBQLB+cGJQqGSnOenZbiWeVOia9RDZdlhJ/cuz8bpU2gZrmXO5VEcyfYx5bsMXD6FDlFaPpsYTRNr8bltrgAP/5rD0kNOUbr4fGJwM2OtJLI3FJYsWcJnn33G2LFjufnmmyvcT4SBCSoioCg887udT3aosa+PXGzlnj6hSJKEwxtg7NfpHMou9nw0DZXJdikcyPJVdMpKaRupJSnXV0qojGtj4oXh4aWSAAs8AWZvzeP9rfk4farQHtvGxCMXW2kT+fdogBdweylYv5u8Xzbj/OsQsQ9cTeglvep7WH9rsj9frgoVSSLhP3cSdfO4Ko9x7k3kyMj7g0Kl1eKXsQxQ+6MEnG5O3v069h/+ACD69iuIf35mlV4agUDQ8Dlu9zG1UKi0itAyf0oMcWe4yKYoCm9tzuOVdWqfsyHNDMweG8XCAw6e/M2GAoxoYeS9yyIJLdFzbPMpN3f9lE1ynh+tDJ1iReliQT2wf/9+nnrqKdq2bcuLL75Y6b4iDExQHv6AwsO/Ftd5//fwcGZ0U8snHrf7GDU3jXxPsUeuZZjEMXvN4iiNGmgWpuVgCeETa5Z5ZWQEl7YqjvMPKArz9zp4eZ2dtAL1Wr3i9Tw1OIw+NUhEPN/wpmWTt2ILub9sIn/19mC1KADHlv1CrNQzhvbNMPVoS8y9U6ssTQzgOniSwyPuQ/H6QJZp+cO/g0LFl2EjcfrzOLbsB62GJv+9h8jrRtX1WxAIBOeA5NxiodI6Qsu3NRAqHr/Co7/mMK8wsmFmdwtPDrby6vo83t2iRkJM7xzCv0eEB4vQBBSFdzarTZwDCjSzykzqEEKPRnVboEOIFUEZ7HY7d911Fx6Ph5kzZ3Lw4MFywxAiIyNp1qxZtbrdl8euXbuCHpn8/Hy1VOzy5QB06dKFhISEmr8JQb3iCyjc93M2Cw84kSX476URTL1IzZ1adczJjYuz8JeIHEywyDUWKu0itSTl+UoJlRu6hvDEoDAs+uKVoI3Jbp5ebQs2dGwRpuHxQWGMbWO6YPukKIqCa88xcn/aQO7Pm3BuO1jqdW1sBKEje2Md1QfruAH1NEpBEZaLu9D21zerta8nOZNDw+9F8XhBlmj5/QuEDlJ7X7kOnuTYVU/jPZGGJtxC88+fxDLo7PpiCQSChkFagZ+rFmQWe1SujDnj8sF2V4B/LM3iz5NuZAleHBbO9C4hPLQih/n7VPHyrwFW7usbGrSPWQ4/9yzP5vcTbgAubWlkT4aHNzflcSDLy8cTomv3jZZAiBVBGfbv309SUhIAjz76aIX7TZo0iVmzZtX4OnPnzuWHH34ote2+++4D4KWXXmLy5Mk1Preg/vAFFO5dns2ig060Mrx7WSTj26rdsD/cmstza3JL7W81SCTnn7lQ0cpwUZSOnRnFZY4bh2p4e3Qk/Us0qErO8/F/a+wsOqh6Eax6ifv6WbmpmyWY4H8hEfB4KfhzF7nLN5L70wa8SRmlXjf1aIt1VF9CR/XB1K1NpR3QBQ0TX3YuBwfejuJ0g6Qm04cO7QFAwYY9JE5/Hn9OHvqW8bT45jmMbUX/FIHgQiDb6efq7zNItPloatUwb3L0GQuVU3k+rl+Yyf4sHyE6iffHRnJxUyO3Lsni56MuNBL8Z2Tpil+bkt3csSyL1IIARq3ENZ3MfLW7INi0+VhOzUK3q4sQK4Iy9OvXjwMHDpTbwb42mTVr1lmJHUHD43Sh8uG4KEa3NqEoCg+uKHY3F6GRINd95v1KmodpyPcESgmVG7uF8OSgMEw69eHb7VP4YFseb23Kw+lTkIDpXUJ4eID1gqvw5c8tIG/FFuzL1pO3cguBvOLPWTIZCB3Wg9DRfbFe2gddfFQ9jlRwtgQcLg4MuJ1ArnqPm7z/ULDql33pOk784xUUlwdzr/a0+PpZtNFh9TlcgUBQS+S5A0z/IZOD2T7iQmTmTYmh8Rkm0x/M8jJ9YSan8vzEhch8Vtjn7PqFmaxLcmPQwPvjohhVGD6tKAof78jnhTV2fAFoHa7h4qYG5vxV3PdMK8GsS8Jr862WQYgVgUBQK/gLQ79OFyoev8JV32ew+VTZvCZ/Dfoq9onXsTmlWKTEmGXevSySgU2Li1v8lujiqdU2jtnU1Z6+jfW8MCyczrEXTuM7b2o2uT+tx750AwVr/lLzFgrRxkZgHd0X69j+WIZ0RzZd+Pk4fwcCgQAHB9+FP8MGQPys24icOhyArM+Wk/zgOxAIEDqmH80/egTZfOEUfBEI/s64fQq3LMliZ7qXSJPMN1NiaB52Zo/wm0+5uXFRJja3QpsILXMnRWPRy1z9fQbb07xY9BJzJkRxcaEtLfAE+NfKnGBUwrg2Rtx++GJX8WKYTgZvAH456qJvQt3NN0KsCASCsyagqMn0Cw+UFiq57gBjv07jmK24OpcE1KT3e5hBItoslxIqkzuY+ffw8GCVklN5Pp753c6yw+rkGmuWeXpIOFe0vzDyUtyJKeQuWY99yZ84Nu+HEiXDDW2bYh3bH+vYAZh7tRPhXRcgR8c9jOdYCgCx/7qGmFsnApD+5nxSn5sDQOQNY0h49S5R8UsguEAIKOpC4NqTbsw6iS+viKbtGVatXJ3oYuaSLFw+hZ5xej6bqHrYp32fwe4MLxFGma8mRdO1MFH+uN3HzB+z2JfpRSvDvX1CWXLIWSo31KABtx9MWqlUIZu6QIgVgUBwViiF5Ym/2eNAluC9yyIZ3dpEcq6PMV+lk+0qnY9SE6HSKUZLos3HkcKSxCE6iTdGRTC2MBfGF1CYsyOf/6zPpcCroJHUfi4P9reWKrd4PuI6cAL7j39i//FPXLuOlnrN1LMdYeMvxjp2AMZ2TetphIJzwYlbX8GxcS8A4dNGEPfY9SiKQupzc8h46zsAYh+YRqMnbrgghLlAICi2rz8ecqKT4ePxUXQ7w8pbSw45uPunbLwBtQzxh+MiyfcoXL0gg/1ZPqLNMt9MjqFjYcf7P064uGNZNjZXgBizzL8GWPn3n3ZsrmLrrZVVodIkVMMnl0fRKUZUAxMIBA2YWetyg31UXh8Vwbi2Zg5meRj7dUawh0lNkYA+jfVsKhFC1idezwfjo4JJhTvTPDz8aw670lWPS694PbNGhHNRHU+edYWiKLj3Hce2eC32RWtxHzhR/KJGJuTizoRNGIj1sgHoE+qu+oqg4ZD60hfYvlsNgPnizjSb/RBKIEDyv94LNpCMf/4WYu4WRUkEgguJD7fnB+3rG6MiGdL8zEKt5u0p4KGVOQQUmNDWxFtjIsl1B7jq+wwOZvtoFCLz7ZQY2kTqUBSFT3bk8+wfdgIKdG+k49rOITz5mw1PiTVHCfAFoH+Cng/HRWE8B4VqhFg5S6rTuV1Q+4jPvWHw/tY83tms1mN/aUQ4V3YMYWuKmynzM/DWrBJxkKKwryKhIkvw8AArd/UJRS5sKvmf9bl8tD2fgALhBonHB4VxTecQ5PNsZVlRFFx7E7EvXIN98Vrch5KCr0k6LZZhPQoFSj+0USJh+u+EbeEfpP/nawD0rRNotXgWit9P0r1vkvP1SpAkmrxxL5HXj67nkQoEgtrkp8NOXvjDDsBTg8O4ooP5jI7/clc+j/xqA+DaziHMGhGOzVUsVOIsGr67MoaW4Vq8foUnV9v4cpeaOH9lBxPtonQ88qutTDSEAlzTycz/DQ/n3S35vL4xlycGhXF7r9CzfMcV02DFys6dO3n77bfZsWMHXq+XNm3aMGPGDCZMmFDtc+Tm5jJnzhxWrlxJUlISer2eJk2aMGnSJKZOnYrBUPOkU61W/eh8vrot1yYoH69XXUXXaERcdn0xf28BL6xRJ9LHB1q5oauF3xKd3LAoi8BZasn2UVqS7cVhX9Fmmc8nRgfd33+ccPHwyhxO5qqvX9HexLNDwok5wxKO9Y1r/wlsP/yBfeEa3IdOBrdLei2hl/QmbOIgrKP7ogmz1OMozz8auv2oLo5dRzjxj1cA0IRbaPf720j+ACfueA37gt9BI9P0/YeImDKszsciEAjOHdtTPdy9PBsFtW/YbT3PzAbM2ZHPk6ttgBoS/fzQMHJcAaYtyORAllpNbP6UaFqGa8lxBbitsOeKBDw+yEpqvp9//1ncZqAo11QCnhwcxi3dQ3j8Nztzd6viJspYtwuEktIAl6g3btzIzJkz0el0jBs3jtDQUH755ReSkpK4//77uf3226s8R25uLpMnT+bkyZP06tWLbt264fF4+OOPPzhx4gT9+/dnzpw5yDVMQlUUhUOHDhESEnLBNi+s69LFNUVRFJKSkvB6vbRq1aq+h3POUBQFm81GeHh4vd+Plcec3FzY2PHWnhaeHhzGssNObluaXaOclJIMSNCzPrk47Gt4cwOzx0YRapCxuwI8v8bGN3vUaiQJoRpeGhHOJS3rNrmvPGp6P9xHT2Fb8Dv2H/7Ate94cHtQoFwxGOvofmisZ7aKJlA5H+xHdfBl2dnX7UYUhxtJp6Xdpg/QN47hxD9ewb54LZJOS7OPHiFswsA6G8PZ0JDmK4G4Hw2Nyu5Hcq6Psd+kk+kIMKKFkTmXRwU7yFeH/23L49lCj8ztvSw8OSiMXLdalXN3hpdYs8z8K9XQr+N2tefKkRy158rroyJYeMDBssOu4PlkIICaSP/uZZEMbW7k7p+y+OlI8T4Dm+j59srYs/pMKqPBeVZ8Ph9PPvkkkiQxd+5cLrroIgDuuusurr76at5++23GjBlDixYtKj3PvHnzOHnyJDfeeCOPPfZYcLvH4+Haa69lw4YNbN26lT59+tRonJIkERsbS0pKCgaDgZCQkAtuAmhoYkVRFLxeL3a7nfz8/AtWJDZ0dqR6uG1pNn4FpnQ089TgML7f5+C+X3LO6rw6GS6K0QWFiizBs0PCuLm7BUmSWHnMySMrc0gtCCABN3W38MjF1lJd6hsqnqQM7AvXYFuwGueOw8Htkk6LZURPwicNwTqmvxAoZ8n5Yj+qIhAIcGjEfSgON0jQ4tvnVKFya6FQ0Wtp/tkTWEf3q5PrCwSC+sHhDXDj4iwyHQEuitbx/tjIMxIqH28vFir39AnlkYutOH0KNyzKZHeGl2izzLeFQmVripubFmeR5QzQOFTDe2Mi+PefuaVyRGUJAkpxdEPriOKeLCU52/zUqmhwYmXDhg2cOHGCyZMnBw0NgMVi4c477+T+++9nwYIFPPDAA5We5+RJNaRi6NChpbbr9XoGDhzIrl27yMrKOquxhoWF4XQ6yczMJCMjo+oDzkMCgUCdrh7WBIPBQEJCAlartb6H8rfjuN3HjMWZuHwKw5sbeG1kBF/uKuCxVbazOm+USUYrK/yVpob3RRhlvp4URZdGBmyuAM/8nsN3+1RvSqsILf+9NII+jRt27xBfdi72xWuxfbeagnW7i1/QyFiGdCd88hCs4wagDa+7ON+/G+eT/aiM49c8h/dkOgDxL/4Dy8CunPjHy9gXqR6V5p8/iXVU3zq7vkAgOPeoJYpz2JupiopPL48i5AwW4z79K5+nf1eFyr19Q3l4gBW3H25anMWWFA9hBomvJqllj5cddnLPT1m4/NAlVsd/L43g3p+z2ZdZnNogowqV1hFavrwiGoteCvZkOZ1O0WdWSvlMaXBiZdOmTQAMGjSozGsDBw4stU9ltG3bFoA1a9Zw8cUXB7d7vV7WrVuH0WikR48eZzVWSZKIj48nNjY2mENxIaEoCrm5uVit1gbhWQE1R0Wnq9sfhaB8sp1+rl+YSaYjQOcYHe+Pi+KLXfk8tdp+VudtF6nluM2HuzAhv3e8ns8nRhNmlFmd6OLBFdlBb8ptvSw8NCAM0zmoPlITAg4XuT9tJOe738j7dSv4ivvLhAzoRPiUYYRdPkh0Fa8jzif7URFpr31D3orNAIRdMZjoWy/n5B2vlRAqTwihIhBcgPx3Qy7LDqslij8aH0WCtfqP6F/szOeJ32wA3N1bFSp+Be5clsXak25CCvuzdIrRM2dHPk+tVhPnR7Y08thAKzcuzgrmgIKamxJAtcefTozG41e48rsMDmSVn6d92Fa3+dsNTqwkJiYC0Lx58zKvhYWFERERwfHjx8u8djpTp05l0aJFfPLJJ+zevZvOnTvj9XpZs2YNdrud1157jUaNGlV4/Jmk8siyfE6SLc81iqKg1+sxGAwNRqzA37cSWNH7ro/37/Yp3PJjFkdyfDS2aPj08ii+2Z3PM3/kVn1wJfSM07EttVjo397TwhODrDi8Co+szObL3ao3pWW4hjdGRdArXv2dNYTvQNEYAj4fBWt2YZv/G7lL1hEocAb3MXZppQqUyUPQJ8SUOfZCoaHMD+ej/ShJ/tqdpP3f54Ba+Svhw3+R9MA7atlirYZmcx4jdFTf8+L7U5/zlaAs4n40LE6/H8uPOHl9o1pZ8+VLwukdr6/2vfpun4NHC6Mbbutp4ZGLQ1EUhYdX2vj5qAuDBj6ZEEX3RjpeWmvjnS1qKeTru4Qwo6uZqxdkkuEo2w9tZEsjsy+LIMfl56rvM0m0+ykPgwaeHRxW4+9WdexHgxMr+fnqhxgaWn5ohMViITU1tcrzGI1GvvjiC55++mkWL14cXE2TZZnp06fTs2fPSo+32+3iR12I3X52K+eC2uVc3w9FUXjiTw8bT/mw6ODdEXrm78zi5c019yZKwEVRclCo6GR4baiBEc0Ufj+UzWNr3ZzMU39/0ztq+WdPPSatE5vNWclZzy2efcdx/LCW5B/XEUi3BbdrmsYQMuFizBMHomuj5lU5AIfNVu55LgQiIiLqewjA+W8/0l9TSxRLZgPR3z3DiX+9S/4XP4MsEfX6XQQGdMB2nn2PhP1oWIj70bCw2+0cswe472fVtl3XUcuoxt5q/85XHPfx4O9q/si1HbTc3TmA3W7n9a0e5u31IkvwnyEG2oc4uGepjYVHVA/IPT10DG7sZ8r8DOyesue9oo2WZwfIHEm1MfMXF8n55c9noTqY2UWHKVCAzeY48w+A6tmPBidWaovs7GzuvPNOsrOz+fDDD+nZsydut5tVq1Yxa9YsVq9ezffff09YWPnhGBVt/zuhKAp2u52wsLAGs3L6d6a+7se7W/JYfMSBRoIPxkWxx+bj5c01Fw06GRpbNOzJKi5LvHBqNAmhWt7YlMfbmwsIKOo+r4+KYGDThuO19KZlY/tuNbZ5q3DtORbcrokIJeyKwYRfNRxzn47i93KeU1/2w/jS7aS99CWNnr4R2xe/kv/ZzwA0eft+Iq6+pMbvpz4Q9qNhIe5Hw6LofmhMoTzwYyYFXuiXoOeFS6LRaap3f1Yfd/HwH2qrgGkXmZk1MhxZkvhoez4fF5YUfnlEOGM7mLnrp2x+PupDI6mem7aRWqb/kEV+OWuOt/ey8MRAK8dsfm76JYOUCoRKjFkm3CjzxjYvTgw8NbjunpsbnFixWNRa0nl5eeW+np+fX+GqWUlmzZrF9u3bWbRoER06dADU1barrroKv9/Ps88+y2effca9995b7vHix1yMJEni82hAnMv7sfywk1mFtdafHxZOcp6fJ88iRyVULyFLCscLY2N7xOn5dko0aQUBJs8vTtyb3MHMi8PCCTPWf3GHgMtD7k8byPnmV/JWbQW/6i6X9FqMw3sQM3001lF9kPUil6q+Od/th6ljC1p8/iQZ7/1Axn/nAZDw2l1EXjOyRudrCAj70bAQ96PhoCgKD620cShb7Xvywdgo9Nrq2bwtp9zcsiQbb0DtTP+fkRFoZIkfDzqC1cAeG2hlfDsz1y/MZH2yB4MG3h8bRZhR5uoFmeVW8Hr0Yit39wkl0e5n6vcZpBWU39053iLj8SscyvYRZZK5sqO5Tr9XDU6sFJWUPH78OJ07dy71mt1uJycnp1qJjb///jvh4eFBQ1OS/v37A7Bnz56zH7BAcIGyL9PLPT+rfVNmdA3Bope47+ealyeONcvkOAN4C+fH6Z3NzBoRznf7nTz5m40Cr0KYQeKlERFMbF+/JXwVRcG57SA5X6/E9v3v+O35wdfMvTsQcc0lWCcOJl/yEyb6FjQYLgT7kf31SlKe/B8AcU/NIOqmcXVyHYFAUL98uc/H0sMedDJ8OD6q2k2ND2R5mbFIrco5ooWRt8ZEopElNiW7ue/nbABu7BbCNZ3MTPs+g53pXkL1EnMujyagKFz7QwaucvLh/294ODd2s3DM5mPy/HTSKxAqjS0yWY4A7gB0jNbx6eVRNDmDYgA1ocGJlT59+vDBBx+wdu1axo0rPUn/+eefAPTtW3UlFI/HE/yj1+tLvZadrd7M07cLBAKVHFeAmxdn4vAqDG5moH+Cnjt/qrlQaW7VBL0pEvDSiHAmtjdz9/IcFh1UQ8r6J+h5a0wkCaH1Ny1507LJmbeKnK9X4j5wIrhdlxBDxNUjiJh2CYY2TYDCxMjzLH/gQud8tx8F63eTdO8bAETfNZmYf15V69cQCAT1z9YUD69tUZNFnhkSHiweUxVJuT6uXZCBza3QK17PB+Mi0WskDmd7uenHLNx+GN3KyF29Q5n6vdqtPtIk89WkaHKcAWYszsRzWp68LMGrIyOY1imERJuPyd+mk+4oX6jEWWRO5auvjWxp5N3LIs9Jr7P6j7E4jQEDBtC0aVOWLFnCvn37gtvz8/N577330Gq1TJo0Kbg9OzubI0eOBA1IET179sTn8/Hee++V2u7xeILb+vUTDbUEgtPxBRTuXJbFiVw/zcM0XNclhLuW59S4M32riGKhotfA/Ctj6ByrZ/TcNBYddKKR4JGLrXw7JaZehIri9WH/aQOJ059nX+cbSH32E9wHTiAZ9YRPHU7LBf9Hh7/mEPfEjKBQETRMznf74dx5BPwBIq69lPjnZwqPnUBwAZLjCnDnT9n4FBjf1sSN3UKqdVy208+1P2SSWhCgXaSWzyZGY9bJZDv93LAoE5srQI84PY8PtAaFSlyIzIKpMeS4yhcqGgneGRPJtE4hJOX6mFSJUIk2SaQWCpVbelj4ZELUOWvKLCkNsOTVhg0buOWWW9DpdIwfPx6LxcIvv/xCUlIS//znP7njjjuC+7799tu888473H333dxzzz3B7fv27WP69OkUFBTQtWvXYILk2rVrOXnyJJ06deLrr7+u9ZLD9qXrOHnnfzG0bULo8B5YhvXE3KfDeRnPrigKNpuNcBHm0iA4V/fjhTU23t+aj0kr8e8R4Ty8Mgdv+XNXlbQI0wTLHUYYZX66Joalh1289KcdXwCahGp497JIetdDg0fXoSRy5v5Czje/4ksv9hqZe3cg4tpLCZ88BI21YiMifh8Nk/PZfiiBAO4jpzC0STjvv1Pi99GwEPejYRBQFG5anMXKYy6ahUr8PD0Oq7Hq8C+nT+Hq7zPYkuKhcaiGRVfF0DhUi9uncPWCDDad8tDMqmH22EhuXZpNcp6fplYN86bEcDLXxw0LM3GfJlS0MsweG8XYNiZS8v2M/zqN1ApCv6x6yPWoXpjnh4ZzU3dLbXwc1abBhYGBGhP81Vdf8dZbb/HTTz/h9Xpp06YN9913H5dffnm1ztGxY0cWLFjABx98wIYNG5g7dy4ajYZmzZpxzz33MHPmzLrpjeIPEMh34tx2EOe2g6S/Ng85xEjIoK6EDuuBZXhPDG2biMlC0CBZfNDB+1vV/IwH+4fy2CpbjYVKoxA5KFRaR2j5alIUT/xmZ+UxFwDj2pr4zyUR5zSJPuBwYV/8J9lfLKdgfXHOgTYmnPBplxA5/VKM7Zuds/EIap/z2X5IsoyxrfDeCQQXKh9vz2flMbX3yX+HGQg1VG3//AGFe34q7kL/5RXRNA7VoigK//o1h02nPFj16uLiLUuyScn30ypCy7zJ0Ry3+5mxKKuMUNHJanXP0a1NZBT4ufyb9AqFilmrChWTVuK9sZGMamWqjY/ijGiQnpXzHe+pTPJWbyd/9XbyVm/Hn1m6epKuSQyhw3tiGd4Ty7DuaMOrrk5TH4iVmIZFXd+PQ9lexn6djsOrcF3nEH485MDurtn0EG6QsBUeO7ipgQcHhHLnTzmcyvOrDaSGhnN9l5Bz9r1y7j5K9ufLyfn2NwK5aklHZJnQS3sTed0orKP6IunObO1G/D4EgooRv4+Ghbgf9c+udA8TvknHG4B/Dw/j8ma+at2Pp1fb+HhHPnoNfDUphgFN1IWStzbl8vK6XDQSvHJJOP9Zn0tqQYC2kVrmTYkhKdfHtO/LVv3SyvC/cVGMam3C5gow5qu0Ut3rS6LXgMcPUSaZzydG0z2ufnK9hVipY5RAANeeY+T9to38Vdso2LAHxVOiDIMsY+7ZjtBLemEZ0Qtzz7ZImupVhKhrxOTWsKjL+5HvCTDu63QO5/joHa8nOc9HSn7NXCpmLTgKv+LXdjLTPlrHC2vUsK+W4VreHxtJ59i6n/ACBS5sC34n67OfcG47GNyubx5HxHWjiLxmJLrG0TU+v/h9CAQVI34fDQtxP+qXAk+AMV+nczTHx5jWRv43LhK73V7l/fhkRz5PrbYBMHtsJJe3UytlLj/sZOaSLAAe6BfKl7sKSHcE6BCl5ZvJMaQV+LnyuwzyPBULFYc3wOi56Ry1lVMaDDWfxa+odvvLK6JpEV5/wVhCrJxjAg4XBet2k7dqG3m/bStVcQhAE27BMqwHoZf0InREL3TxUfU0UjG5NTTq6n4oisKdP2Wz+KCTWLOERa+pcPKqDAl1IiwKG7uvTyiHbT6WHlKrfRXVgq+O2/tscO4+SvanP5Hz7SoC+eq1JZ0W69j+RN4wBsvQ7kjy2Y9B/D4EgooRv4+Ghbgf9cuDK7L5Zo+DOIuGFdNjiTDKVd6Plcec3LRYbfr4xKAw7uytRuHsz/Ry+bx0CrwKkzuY+POkm7SCAB2jdcybHE2WU+1bluMqveBY1Nj5sjYm3D6FcV+nsS+rfFsvAQrQvZGOzydGE2UufxH9ULaX/23L5/quIXSpw0XIBpmzciEjm42EjuxN6MjeAHiSMsj/bRt5q7aSv3oHfls+9oVrsC9cA4CxU0t1/0t6EdLvojMOVREIquKznQUsLqzKFROiZU9GOS1tq6Do0d8bUCe5hy+2Mn+fg6M5PnQyPD0knJu61V3YV8DpxrZwDdlzluHYsj+4Xd+qMZE3jCbymkvRxoTXybUFAoFAIKiIJYccfLPHgYRaeSvSpKEqP8GeDA93LssmoMC1nUO4o5ea0J7t9HPT4kwKvAo94vSsKxQqHaLUHJUCr8K078sKFVmCdy6L5LI2JvwBhcnz0ysUKqAKlaHNDPxvfBQhFVT8WnHUyd3Ls8n3qD3ShFi5gNE3iSHy+tFEXj8axefHsfWA6nX5dQvO7Ydw7TmGa88xMt6cj2wxFXpdVLGjT6h5CItAALA73cNzf9gAuChGx670mgmVomlRI8EdvS28vTkPh1ch3qLhg3GR1a4hf6a4DyeRNWcZOV+vxG8rbNyo1RA2bgCRN47FMrhrrXhRBAKBQCA4U1Lz/Tzyqw2Au/uEBvNNKiO9QE2KL/AqDGpq4N/DVe+LL6Bwx7JsTuT6aWyRScn3BcsYz5sSg0+Bad9nlCk9LAGvj4rg8nZmFEVh+g+Z7Eir3NZf0d7E66PUHi6noygK727JY9afuShAvwQ9d/Su29xrIVYaEJJWQ0i/iwjpdxFxj12HL8tO3m/byFu5hbxV2/Bn2sldso7cJesAMF7UQvW6XNqHkL4dhddFcEbkuQPctiwbjx9ahmnOWqjoZRjXxsQ7m1XRcHETA7PHRhJdgfu4pig+P7k/byTr46Xkr94e3K5rGkvUjZcRce2l6BpF1uo1BQKBQCA4ExRF4cEV2dhcAbrE6nigv7XKY1w+hZk/ZpGS76dNhJYPx0WhKxQMs/60s/akG6MWFCRSC/f5dkoMGlniqvnpnCgnUX7WJeFc2VEtw3/b0izWnHRXOoabuoXw/LBw5HIiIVw+hX+tzGHBfgcA13UJ4YVh4eWKmtpEPN02YLRRYURcOZyIK4ejBAI4/zpM3oot5K3cgmPrAVx7E3HtTSTjre+QrSGEDu9B6KV9CB3ZG11sRH0PX9CAURSFR37NIdHmI9wgccxefiWQyigpVExaiY7RWn4o7EZ/Zy8LjwwMQyvX3gTmTc8h+/PlZH/6E95TmepGSSL00t5E3TyO0Et6NZjiFA0dRVHwJKbi2LQXx+b9uI8kE3v/VViGdK/voQkEAsEFwWc7C1h93I1RA2+PKd9LURJFUXj41xy2pXoIN0h8OjE6WNp/8UEHswvbCoQZZFLy/bQIU/uoWPQS0xaoTSBP56nBYVzXRQ0h+9eKbJYedlU6hvv7hfJgf2u5IdsZBX5u/jGLbakeNBI8PyycG7udm34rQqycJ0iyjLlHO8w92tHo4WuLvS4rtpD361b82bnYF63FvmgtAKae7bBe2ofQUX0wdWsjQmEEpfhmj4NFB53IEjUqTyxRLFRCdBJWA2xL9WLWSbw+KoLxbc21Mk5FUXBs3k/WRz9iX7QWxatOxproMCKvH03UjMvQN2tUK9e6kAm4PDj/Ooxj0z4KNu3FsWkfvgxbqX1M3VoLsSIQCAS1wJEcLy+sUdtWPDE4nLaRVTcGf39rPt/vc6CR4P1xUbQsrL61P9PLgyvUxsWRJpm0ggCNQ1WhEm2WmfljFltTPGXO90C/UG7vpYZnzfrTzld7HJVe/9khYfyjZ/nhXHszPMxYnMWpPD/hBon3x0UxuJmR/ZlePtyWx4xuFro1EjkrgtMo5XXx+3FuP0TuL5vJW7kZ547DwaaUaS/PRdsogtCRfbCO7otlaHc0obXzICk4Pzmc7Q2WQtRI4D1DrVJUJQTAopfw+BRS8tVu9R9PiKZDdNWTclUEXB5s368m66MlOP86HNxu7t2BqFvGEzZxMLLh7K9zoeJNz1GFyUZVmDj/OlS6ZDqoN1KWwV8oO8WChkAgEJw1/oDC/b/k4PIpDG5m4MZuIVUes+qYk/9bq4qb54eFM7iZEYBcd4BblmTh8CqE6iWynQFizTLfTokhIVTDgytygo2WS3Jjt5Bg2NlH2/J4e3Nepdd/dWQE13Quf5y/HnNyx7JsCrwKrSK0fHp5FK0jdPx02Mm9P2fj8CpEmzVCrAgqR9JoMPfugLl3B+Ievx5vajZ5KzaTu2Iz+au340vLIWfuL+TM/QVJryVkYFeso/tiHdNPrEr/zXD7FO76KRunTwk2ezpTioRKiE4iv7CG+7DmBt69LIrws+xG70nKIOuTJWR//jP+7FwAJKOe8MlDifrHBMzd2pzV+S9ElEAA98EkCjbswbFpLwUb9+I5llKNAwF/AEmvxdi5FdYx/et8rAKBQHCh8+G2fLameAjVS7x2aUS5uR8lOWbzcffybBRgeueQYGiVmvOSwzGbD70G8jwK4QaJryfH0DJcy6w/7czbW9Zbcnk7Ey8MU5Pyv9tbwDN/2MvsU4SMGqJ2RYfyF7Hn7Mjn6d9tBBQ1D/V/46OwGiReW2/nvxtVAXRxE0OdJ9iLPisXOAG3l4J1u8j7ZTO5v2wq8xBj6NAc65i+WEf3w9y7famYf1GXvWFRG/fj+T9sfLAtP9jsqaYYteAqXKi/vZeFxweGoalhfoqiKDg27CHzg8XYl64LrvTrmsYSNXMckdeNRhtZdWLiuaa+fh8BpxvnjkMUbNhDwUZVnATsBdU6Vg41Y+rSClOX1hi7tsbUtTXGdk1FcQ5BrSPsR8NC3I9zw8EsL2O+SsPth9cujeDqTuV7K4ruh9ZsZeK3GRzIUhsyz78yJpjb8tH2PJ753R6MZgjRScybEkOPOD2f78znsVW2Mucd3NTAF1dEo9NI/HHcyTU/ZFU4Vo0EH46LYkwbU5nX/AGF5/6w8/EONU/m6k5mXhoRgdevcN/P2fx0RPXmzOxu4anBYcEiAHWFECt/IxRFwX0oibyfN5H780YKNu4tDgEBNFFWrKNUj4tleE/kEKOY3BoQZ2ts/jjh4poFmWc9Dl1h40eDBl4ZGRGsMnKmBNxebAt+J/ODRbh2HgluDxnclehbL8c6pl+DTpg/V8bfl52rhnNt2EP+2l04dx4u9butCE10GKaubTB1baX+3a0N+uaNRP6a4JwgHo4bFuJ+1D2+gMLEeensSPMyooWRzydGVfhZK4pCTk4OD/8Z4KcjLuJCZJZd24hGIarN23LKzeT5GcFFRYMGPr8imkFNjfxy1MnMH9VmkSW5KEbH4qtiMOlkdqe7GfNVBhU94GskmHN5FJe0LCtUnN4A9ywvFiSPDbRyV+9QkvP83LQ4i72ZXvQamDUigmkViLHaRiyn/Y2QJAlju6YY2zUl5p4p+HLyyPt1C7nLN5G3cgv+rFxyvl5Jztcr1XCxId3RDe1CyBXD0CfE1PfwBWdBjivA/T9nl/tayRyUqpAlVajEmmU+nhBFzxr0T/Fl2Mj6ZClZnywNJnlLRj0RV40g6tYJmC5qecbnvFBQFAXviTQKNuwh7/e/KFi7E29SepXHaeOjMHVtjambKkpMXVqjS4gWDyUCgUBwjvhwWz470rxY9RKvjIyocv6ds8fLT0fUB/8Px0cFhUq208/ty7KDQkWW4N3LohjU1Mj2VA93FDaLLElji4Z5k6Mx6WRO2Lxc9nXlQuWLiVEMbVFWqGQ6/Ny4OIvtqR4MGnhjdCSXtzOz+ZSbW5ZkkekIEG2W+Wh8FH0a103/tPIQnhUBAIrXR8GGPeQu30ju8o1lwsVMPdpiHdMP69gBGC9qIR6C6oGarowpisKdP2WzuLCscElqEg7WOUbHnMujaBx6Zmsdzj3HyJy9ENt3vwWTvXWNo4m6ZTyRN4xpkKFelVEbK5VKIIBr33Hyft1K3orNOHceIZBXecUWbXwU5l7tVVFSKFBEqXJBQ0Os5DcsxP2oW47meLn0yzRcVYR/FbH2hItrfsgkoMCsEeFc37U4T+XGxVmlkub/MzKCazuHcMLuY8I36WQ6S3vWQ/USK69rRBOrlmyHj14fp1aYjypL8NWkKAY3KytUjtl8XPdDBol2P+FGmTkTouibYOD7fQU8tDIHjx86xeiYMyGKBOu59XUIsSIog6IouA+exL5sPTlL/sSz4wiU+JromjUi7LL+WMf2J2RAZyRtww3VuZCoqbH5Yb+Du5eX9arURKiMbWPizdERmHXVCyVSAgHyft1K5ns/kP/7juB2c6/2RN9xBWETBp63+RI1uR8Bj5f8P3djX/QHBRv24j2WEizHXB7amHBMvdoT0rdj0Gtyvok6wd8T8XDcsBD3o+4IKApXfZfB+mQPg5sZ+HpS5V7tU3k+xnyVTpYzwNSOZl4fVeyF+XBbHs+VSIh/9GIr9/S1YncFmPhtOoeyS9sLnQzLronlohg9Dk+AHh+lBAvfnI4EfHlFFMPK8ahsT/UwY1EmWc4AzawavrgimlYRWv6zPpe3NqmJ9GNaG3l7TGS17X9tIsRKLVOwaR8pT3yIbA1B3yIOffM4DC3i0LeIR98iDo313MT31QZFk1uIRyH/l83Yf9pA/urtKK7iet6aiFBCR/UhbOwAQkf0Qg4x1uOIL2xqYmyS83xc8nkqeac1pz+T0K8i7u4dyiMDrVVWNgE1CTxn3ioyZy/EfeikulEjEzZhINF3TCKkT4czvHrDozr3w5uWje371eSt3Ipzz1H8mbmlhH9JNOEWjJ1aYhnSDXMfVZxoI+q2wopAUFeIh+OGhbgfdccXO/N5dJUNk1Zi1fWNaBZW8QKcx69w5XcZbE3x0CFS5sdr4oIP/9tTPUyclx5cRLy5u4Xnh4bhC8B1CzNZe1rneQk1nGt4SxO+QIC+H6eSVlB+PqMEfDw+ktFtylb9WnnMye1L1SqhXWN1fD4xGotB5p8/Z7PkkBqRcSb2vy44P5c0GzDOvw7j2Hqgwtc1EaFBEaNvGa+KmZaqkNE1jm6QCcW62Agirx9N5PWjCRS4yFu9jdxlG8j9eRP+7Fxs81Zhm7cKyajHMqwHYWMHYB3TD210WH0P/W+Noig8+Et2GaECZyZUNJLqhq5OIp0v007mRz+S9fES/Flq6WE51EzkDWOIvnUC+qYXbqnsgMNFwca92BevVcsHJ6aWEvYlkUwGDK0aEzKgE9bR/TD1aoc2vG6FScDtxZuSiTcpA29SBp5k9W9vcgZ+Wz6NHruO0OE963QMAoFAcCGRku8P9kd5dKC1UqEC8H9r7WxN8RBmkHh9mAGTVn34z3UHuOXHzKBQGdfGyLND1Geox1bllBEqAC8MC2N4SxOBQICRX6RXKFQA3hodUa5Q+XZvAQ+tyMGvwPDmBj4YF4XTp3qKtqV60Mnw8iXnLpG+IoRYqWWibhmPqVsb3IdO4klMxZOYgud4Gp7jqfgybPhz8nDm5OHcfqjMsZJOi65ZLPrm8aW8MUWiRmMp67o718ghRsLGXUzYuItRfH4KNu1Vhcuy9XgSU8lbvpG85RtBltUHsbEDCBs/4IJ+SG2ofLGrgDUny39Yri5WPXw0IZqBTSv3mLkPJ5Hx3g/kfPNr8AFd1zSW6NsmEnndaDTWC6sRacDtxbn7KLkrN5G9bg+uPYnBvjBl0Mjo4iIxdW1N6Oh+WMcNQBdVu0JeURT8Wbl4ktILxUg6niJRkpSONzkDX1pOpefImrNUiBWBQCA4A576LYc8j0LPOD03FfZHqYhlh518tF0tBfz6qAiahqoCRFEU7vs5i9RCsdErXs9bY6LQyBLvb83j63I6z8/oGsJN3dUFruk/ZHIop+Jw4ueGhjH5tKqdiqIwe2t+UGhd2dHMqyMjOG73cf3CTE7kqp3q/zc+ioursP/nAhEGdg7x5zvxHC8UMMdS8ZxIxZOYijsxBe/xtEpj10GNXw8KmBbxQY+MvkU82kZVV544U87EbawoCq59ieQuXY996fpSpWgBTN3aYB03gLDxAzG0byrc0DXgTO7HcbuPYZ+XTbI7k/CvhFCZuZNiaBtZcaf4gg17yHh3AbnLNgTDm0w92xFz5yTCLh90QeQzKX4/7gMncWw/SP663TjW78ZzIo0y5VgKkcwGDG2aYBncjfDJQzB1b3vW3/eAy4M3OQPPyfQSAiRTFSWFHpKKvDjVJe65mcTeM+WsziEQFCHCjhoW4n7UPj8fcXLzj1loZVh+bSM6RldsKxNtPi77Ko1cj8LtvSw8OSgseD++3FXAo4U9U5paNSy/thHhRpkVR53ctDirjM2+uImBb6eoeTEP/pLFN3vLFs8p4q7eoTw+qPTiWEBReGGNnQ+3qcLpjl4WnhgUxoZkDzN/zMTuVmgepuHzidG0qcT+n0uEWKll8n7bRvID76CJsmJs3wxD+2YY2zfF0L4Z+mYV9zhQ/H68KVl4jqWoHpnjqbiPpaji5lgK/py8Sq8rmQ0YikLLWsSjbxmPofBvfdPYGiUxn83k5jmRhn3penKX/EnBhr2l4vQNbZuowmXCwFp5kPu7UN37EVAUxn+dxl/ppcWvLFX4fF2GLjFavrgihpiQsmJDCQTIXb6RjLe+w7FpX3B76Jh+xNw9WS26cJ7eU0VR8BxPxbntII7th3Bs3Itz1xEUdzmxdIVoIq2YurfBOqY/YeMGoIuPOuNrBr0iJ4s8IiVESVJGsMRzpUgSssWEpNeieP0E8h0V3nBdQgzGi1oE/5g6tcR4UYszGrdAUBni4bhhIe5H7ZLvCTDs8zRS8v3c3TuUxwZV7C13+xQmfpvOrnQvveP1fHdlDFoZbDYbGYEQLvkynYCiNn1cdb1a1WtfppeJ89Ip8JaewxNCNay9MQ69RuL1DXZe3VDxs+HkDibeHlPaHvkCCg+tyGH+PtVb89TgMG7vFcoP+x08sCIbj1/17MyZEEWUuerFRl9AYWOymx5x+jpNvBdipZbJmL2QlCc+LPc1yWTA0LaJKmLaNQ2KGUPL+CpXoP32fNyJqcWhZcdS8CSm4D6Wgjc5EwKVNImTZfRNY4tDyoq8MoX/rii8rLYmN1+GDftPG8hdso78P3YEy9YC6JrEEDZ+IGETLsbct2ODzNlpKFT3fry3JS/o2i3iTDwqQ5sZ+HhCFKbTJp6A24vt21VkvPM97kNJ6nn1WiKmXUL0nZMwtm92Jm+nQeDLsOHYfhDH1oM4tx/EsWU/flt+pcfomsQQMqgroaP64u/cjKjWzSoXjx4vvpSsYq/IybQyHhLFWTYe+XQkswF9QgyacAuSXofi9eG3F+BNySKQW34He9liwtihOcZOLTF2KhYndZ0fIxCIh+OGhbgftcvTq218vCOf5mEafr0+Lph7Uh5PrbbxyY58Iowyv0yPpXGoFkVRSM/KZuR3LrJdCrIEi6fF0CPOQJbDz9iv00nKKx0aYdZKbJgZR5RJw/y9Bfzzl4pDe/s21rNgakype+30Kdy5LItfjrrQSGqJ5Ss7mnl3Sx4v/amGMY9tY+KtMZGVvp/g+bwBbluWza/HXNzZy8ITg8OrPKamCLFSy6S/8S2pz396ZgfpNBjaNFEfKoLemGboW8Uj66t2wQU8XnVF9lgK7qCQKfbMVPUgpI2NUD0xRQKmZTyGlo3RtYwnX/LX6uTmz3WQt2Iz9iV/krdyC4GC4lri2tiIwlCxi7EM6nrelrStK6pjbI7bvAz6LK3aHpTTmdLBxOujItHIxef35zrI+nQpme8vwpeqlkCWrSFEzRxH9D8uRxcXWbOLnWMCBS6cOw/j2HoQx9b9OLYdxHuy6oaL+rZNCB3eC8uQroQM6Bys0FV0P0JlPd7kIiFS8m/VU+JNza6wAlhJtHGR6BpHo28ai65pLLLFDD4/fns+nlNZah7ckeTyu9dLEvrWjVUPSaGXxNSpJbqmsaJjvaBeEA/HDQtxP2qPv9I8jP9G9YZ8NSmaoc0rzulYftjJzCVZgFq5a0Rhx3hFUZgyL4WNqep8/tql4VzdyYLXr3DNArUMcklkCZZeHUvXRno2JLmY8l1mhddsEaZh5WkCKs8d4KbFmaxP9mDUwOxxUVzSwshTq218tlNd7PpHDwtPDwmrVsWvHFeAGxdlsiVFPd/Xk2Pom1B3TSKFWKllfNm5ZH20BPeRZDwn0vCeSKv2w0oZZEkN12jfDGO3Npg6NsfYoTn6NgnVEjGg/iB8qdmqF+boqUJvTLF3psrwMqsZY8vG6Fs1LiNmtHGRZzXpBZxu8lZvJ/fHP8n9aSN+e/GKtiYiFOtl/QmbOAjLkO7IhoYRN1mfVGVsFEVh4KepHLdX0A2qCm7tEcLTQ4rP7U3LJvODRWR9vDTYqFAXH0X0HZOInDEGTWjDTZpXfH5c+4+rHpNtB3BsO4hr3/HKPZAAkoSxSyssg7piGdQVU7+O4PWriwEni8K00oNixH0iDSW38iaOAJJRjy4hGn2TWHRNYtE3iUHXNBZ901g0MeEEch24D53EtfsYzj3HcO05VuFvUxMRirFzS0wXqaLE2LklxvbNkM2VJ0EGHC68pzLVPylZxf8+lYU/t4BGD1+LZXC3Kt+LQFAdxMNxw0Lcj9rBH1CYMC+dv9K8XNHexLuXVRz2m5zrY9TcNGxuNU/lqRKehzc32nllvTrHX32RmddGqYt+j63K4fOdZT3lr42M4OrOIRzN8TL88zR8FTxShhkkVt8QR2yJEO5sp5/rFmbyV5oXi17is8uj6Ran5+6fslh+xIUEPDs0jFt6VM/jfirPx/QfMjmY7SPMIPHZxOg672YvxMo5IODxqg8FJ9TwD8+JdLwni/6dhvdUZvmrpRUhSWgiQ9E3a4ShfXPMPdti7ncRxnbNzvih3mfLUz0xRd6YoKBJwZeSVfkwivJkWjVG37Ixhlbxwb/PtAxzwOOlYM1O7D/+iX3ZevyZxWFMcqgZ62X9CLt8kNrLxag/o/d4oVCVsXn+jxw+2FZ+OFBVPNQ/lPv7qzG37sQUMt9ZQPbcX4K5GoZ2TYm590rCrxxWbaF8rlAUBW9yRqHH5ADOrftx/HUYxVF1aBWAoWNzjO2aoWschWwy4Muwqb/NwnyR6iSua8ItQfGha1L6b33TWDSFZbx9aTm4dh9VBcnuozh3H8N9OKn8379GxtC2KaZOLQrDuFpi6tQSbXxUmfvvz3OoCfcpmaVESPDfheWJKyP2gWnEPTmjWp+ZQFAV4uG4YSHuR+3w2V/5PP6bjVC9xB8zSouCkvgCClPmZ7AlxUOPRjoWXBWLXqN+7utOurjq+0wUoE2Eht9nxAPw+c58HitMtC/JtZ3N/GdkJHZXgD4fn6KgghRKjaQ2iOwcW/yMlJrv55oFGRzM9hFpkpl7RTRNw7TctDiTzac8GDTw1phIxret3uLjkRwv1yzIJDnPT5xFw1eTomkfVffPBEKsNAAUnx9vSiaeE+l4jqcGV3Hdh5LwnFBLHlc3rkcyGdDGhKFvFoexQzPMvToQMqATuiYxZxwO4i9wkrnrEIbMfLyFuTJFYsZzIr3SVWpJr0XfPB59K9ULU/x3YzXhv5IcHcXnp2DDHuyL12Jfsi4YegRqDL51dF/CJg4m9JJeyKa6VfMNicqMzc40N2O/zjjjRo9QnGDn3HuMjDfmY/vhj+DDs7l3B2L+ORXrmH4NJpzIn+vAuUMVJkV/yi3LW0FFATncgmwyoHh8+G15VS8USBK6uMhiMVL4tzYhBneYiciOrdCe1uxV8fpwFXlKdh0NCpSSIrwkQW9Jp1aqp6ST6i2RDDoCuQWqEDmViSe5pBgp/lPk+aoKOcSIrnEMusZR6BpHB//WN22EZViPC6J6m6BhIB6OGxbifpw9GQV+hnyWSq5H4YVh4dzcveJSxf9Zb+eNjXmE6iV+mV7cKDI518eQz1Nx+cCggS0z44g0a9mU7Gbq9xn4TjNHnWN0/Dy9Eb5AgIvnpJGcV3HkxPtjI5nQrlh0nLT7mLYgg+N2P3EhMt9MicGsk7iuhFfkkwnR9G9SveeoXekepv+gdrlvFaHl60nRNLGem3B9IVbOA4oqhXlPpuM+noZr91Fc+4/jSUzFl55DoMBZdfa0BLLZiDYmHF3zOIwdmmPu0VatHNa8EdrYsqWPK5vcAh4v3hNpal5MYiqeo6fUfJmjKXiOp5RKoi+DVqN6hVrGF4eXtU5Q/24eVypXRQkEcGzah33RWuw//ql6oQqRQ4yEjupL+MRBhI7sXWUYzPlORffD6w/Q438p5LjO/Kf89OAwrgskk/76PLU/TiGWEb2Ivf8qQi6u38peit+Pa/8JHJv3B4WJ+8CJ8sMqdVqoovx3eUg6LbomMaW9Is0aFf4/Bl3j6HK9ScGcFUmLa08irl1HcO5SRYl7//HyfwOyjKF1QlCQ6FvGo/l/9s47Tqrq7sPPvdPLzuzMdnrvTelFULpdbKCAPcYWjdHERI1GY0xMoq9RYxJ7AwQVRFSaIEgREOm91+07s3X63Pv+cWdmd9jCLuzC7nKfzwdm97Y5M2fvPed7fs1hRQ6ECGUWEDyZd4plJC8urqsmRJsFfctkdC2S0WYkoW+ptF2XkYSuZQq6lsmICeYq73M5EFJdLVXqFXVy3LhQ++PseWSxi893e+iVouObW1LRilV/j+tOKMJDkuHNy51c21UREGUBiTGf5HC8WBEc/x1r4KqeyWSVKgH1eZ54pWI3CPx8TwYmnci1s3PZmFW9lf/hgQk8Mbw8I9lBd5DJX+STVRqmrV3Dp9en4AvJ3DpP2ZZu1TDjumS61ZBu+dTPdPtX+ZQGZHqn6phxXXKtsoXVF6pYaQbI4TCBrAK8ETcY367DipDJK0Qq9dYuXkarQZuSiKF9BoYurdG3S0fXOg2/00xSj05ok+21fsDJ4TDBzHz8BzMVERPNXHZQscrU6FajiWQui7qVdWgZe9W1TsG/4zCF81dTNH8VwRN5sdNEi5GEcQNJvO6SZitcqhts7lmQz8KDtZvQVuTX6aXc8OmHlP6wVdkgCNivGU7Kr2/G3LdTfTW7TgSzXUrw+8978Wzci2fT3qrduURR+buuxd+2aDGWi5DWqejbpCmxI1ELSZqjVlajaFrjitaSsm0HCJ+sOtBRTDChb98CXUYSGrsVQadRREmuu9wiUkshonEkKIKjRRK6jGR0EVESEyItkitl9ZM8PkJ5hQRz3IRylX/xP7tiP8shiRYv3Ufy3VfVqj0qKqdDnRw3LtT+ODvWn/Rz/Wd5CChZuy7OqNoaUeiTGDcjh8ySMJN7mHklEosiyTK3z89n+RFlPJve28wTFwuYrHZu/DyPzTnxvl2iAN9NS6Nrko5Hl7iYs6t66/m4DkbeuzopFhi/Jz/IlLl55HkkOju1fHp9CidLQtz2ZT6FfplODi0zJyXTspZWkWWHvdz7dQG+MAxtZeD9q5NIMJxbTwtVrDRzohOssrU7IkLmCIGj2YTyC6lkb6wBwWRQUh+3TVcme23S0LeNvqajOcUNptr2SBLBLBeBQycVEXM4S0lGcDgL/+HMmuMMoimYOyjuZKJeS+B4Lp6Ne+JdxaIWl6hwaSauYlUNNl/v9/DLb1ynObMyU/evY9qs95RftBock8eQ8vCNGDu3qs8m10jY66ds7Q5Kv9+EZ+MefPuOI50mrqJKRAGN3YquTRqm3h2UJBQVhInGkVDnwVnyB/HvPYZ320G8Ow4pVpMdh6t1txJtFjQ2M2g0yIEg4aLSWsfMaJy2cvHRIrncItIiIkQykmLiWw6FCeUXVRIbcSIk100ox11r1zAAtBpa/esRnLeMrf05Kio1oE6OGxdqf5w5IUlm4sxcducHmdrLwt/HOqo8TpZlfvmti2/2e2mfqGXxralY9Mqk/q+rC3ljozK+tbVrWD4tDU9JIX/5GT6tokJ9NDvYf38u5s+riqttWyeHlq+npMbEw/bcAFPm5lPok+iZomPWpGS25Qb5xdcFeEMyF6fr+fDaJJym2llF5u/18PBiFyFJEUX/uSKpVmmN6xtVrFygyJJE8Hguvj1H8e48gmfTXnx7jhI8lguhumeT0iRaY0JG1zYdfZvUOGFTG8EQzVzmP5xJ4FAW/kMnldfDioWmxlVoUUC0mpEDwTjLjWA2YJs4mMTrRzX54PxTB5vMkhAjPsjGX8fuuuKnFTy0cCaiUY/ztomkPHQ9+lapDdLecGEpgWM5ikVi20E8W/bjP5hJKNeF7D2ziutighlTn45YRvTBftUwTD3bn1U7Q4Ul+LYfKo8t2XoA377j1aQIBoTaV9eMWURaVhAiLeMtIoJRj1TiUQRHjotQTkRwVBQiUWGSX1S3zIIGHVqnDY3NgmgxImg1yJKEHAghe/2Ey7xIJV7kYIiM5+4m+RdX1/7aKio1oE6OGxdqf5w5728p5ekVhSQaBFbdkV7tRH/2zjJ+s9SNVoSvJqfSN02Zb3y5x8ODi5RFxWgQfM8UHW9vyOO5HyuPg5O6mXhjYhIrjniZ+mX1iY4sOlh4axodHYor1+bsAFPn5VHkl7koTccnk1JYccTHI0sUsXFZWwNvXZVU6+KNs3aU8dvv3MjApK5KWQOd5vz87ahiRSUOORwmcCQb356j+HYdpWT7AUL7ThI4WE3GolqiTXOgb5OuWGPaplX4OR1dy5TTBvbKskwox60ImIOZFQRNJv5DJ2u3iq0R0XdogXV4bxImDFJq2bSqOdi/MVFxsAnLMHFmDrvz6xajMWzXJv646CNS7r6S5PuvQ5da9QpRbdsTFSPBYzmKKIlkuAscya5VjR9QYkaEyERaKvVWchPU2K1YLumDdWRfrCP7Yejc6owGW1mW8R/MpGzVVjwbd+PbdRT/kSykojPLoKZJtCKmOzG2TlWC1lsmxwSIvmUy2pREwqU+QrmK0Ahmu8t/zlGsH1FLSG2+pxiCgCbJhsZmRtDrEEQxEncSRPYHkbx+JG8A2eevtagCsIzsR8cvXzyDb0JFpTLq5LhxofbHmVHgCXPJh9kU+WX+clkid/StOqj+SKGSprgsKPPkcBsPDrQBSk2WSXNyY4uKvxtm45FBNjZlKW5lwVOmVe3tGn64I50jhSEu+zinRgeYD65JYlwHxf33p0w/075UYkoGttDz8bXJfLHHw9PfFyID10XEhr6WYuOdzSU8u1JJCDO9t4UXRydWWX8lEJKYsaOM67pZcBjVCvYq54GKDzc5GCJwMBPf7iP49hyLiJkjBA5nVb/Sq9Uo+04ncjQiupYpMfGi/IsImnbpaFNqfrjGLDKHIjEyhzIV17LIazT9bnVtNLRLVwL8O7TA0KmlEifTsYWy6t1IMmBBfH+8tLaY13+quUZO5CTFEgD0OnGQt5NP0OKX18QKG56OUGEJwWMRAVLhX1ScSKXe2n8AQUCbmoi+XSSoPCTh23uM0CmFGQWzAcuQXlhH9sE6sh+m3h1qlQZbDoUJZhfEijJ6tx7At/sogaNZhHILFctcLR93QjTOpWWKErQeESHaFkloEhMQtRpCRaUUHTqBocxfbg2JWEGCuW7CBdWb7qt8T5MRTYIRDHrl706SkENh5GAI2R9UxEgwVCcBUu176XWIVhMauwVNkh19y2TSnpiGsVubs762igqok+PGhtofZ8bvvnMzY0cZPVN0LLwlNa5gcpSQJHP9Z3n8nBVgaEs9s29IQSMK5JaFuXxWDtmlyhyoX6qW+VPSKPJJTJyZS2ZpvFuEQQPr70rHpBMZ+E4WxYHqn/WPD7Hx6BBFEK074Wf6/Hw8QZlhrQy8f7WTd7aU8Y8flTHojr4W/nxp1WKjKl7bUMxLa5Vz7+tv5ekRVccsu30Sl32UTZ5H4qI0HV/fklar658JaonwBiCYmY8cDiMY9IhGPYJBj6DXNukHhKjXYezeFmP3tnHbJa8f377j+HYdwb/nKL7diogJZuZX7U4mCEpGIoNOqc5d4oFQWCmeeSyHslXbKp9iNsRZYmJipl06+jbpaKwmxa0mIwmG9447Nxoj4z9wgtLlP1Oycgv+vcfKBUwojP/ASfwHTnLq1F8w6sszlUXEjL5jCwwdW1aZPe1csea4v3ZCBWJCpb1cxqe/748jeVTc7nCJp1yAHM1W0mcfzyFwNCJGimthdRCEKkWANiUR88BumPt3RTDoCZzIo2zNNjzrd51yoAZz/65YR/bDOqov5v7dKmWmkmVZCRY/maek8T2ZR+BEnvJ6XEn5HS4orp0YEQREqxFtqgN923SMPdorAspqVDLRCQLh4jLF7SrHRTDHjW/PsVicSG3qrsQQBQSzMWIBAWQiAiQMoRByKBwTH7LXR8hb90QJgl6HYDKgSTChcSSgTbKjTUlE2yIJQ6s0tOkOxRXMYUPjTEDrSIjLuKeioqKiUpmtOQFm7lDGwBcuTaxSqAC8vqGEn7MC2PQC/5rgRCMK+EMyv/i6ICZU9CL8a6JSQPKBha5KQgXgnauTSTKJXPZxbo1CZWx7I48MVhYcVx/3ccd8JR5lZBsD717l5O8/lvD2ZiU+5tHBCTw2xFar+Yosy/xtbTFvROYXjw2x8ejgqmM+jxYplqTSSDsndWvYItGqZaWecX2yhBMPv1rlPsGoRzToEYw6RchEflZe9YgGZdIhGpT9giGyz3TKsTERpItdUzRFRFEVx4hGPWg1dZ5cn81KTLioVBEuu49EXhURU11VbvRadGlOJWuSVoPsDxJylxDKcZ12AqpJtiuxMZE0zFFBY2hXtYuZHA5T9uNO3F+soGj+6rigbuX7MhAu9dRoERKtJgwdWyqplzu2xNApImY6tUSbWDurRV2RZZlD2W4mfeWjwFt7l7xkrcTnHfJwZGYqBUmPZscESbX9UQGNIwGN3QoChEu9Sq2QU/pE0Gsx9emEeWA3TBd3QTQZ8O0+SunKLXg27KqUxtfYox3WUf2wjuqHZWgvkIkIkNyIGFFeo4IkmJlfs4WsyoZr0KbYI/EhqehaJKFJsiF7AzEREhUkdY4F0WkQtFpkAYSIACEcPnurh0ZUrB5mA5oEM5rEBLTJdrSpDrQtkzG0SkXXLl3JYua0IyYoLgByIITk9SF7/Ei+AJLXj+z1Ky5hvgCSx4/si/zu8SP7AkheH5JH2YYgkHzvNRi7qpYVlfpBXclvXKj9UTdkWebaOYq15PpuZl6f6KzyuM3ZAa6dnUtYhjcmOpnUzYwsy/xuWWFM6AA8PcLO/QMS+NuaoioXG+/pZ+W5SxP5xYJ8vq0hu2c7u4Zvb0nDbhT54ZiPO+fn4wsr8Sj/uzKJZ1cWMisSsP+nkXZ+cXHt5iOyLPPcD0UxkROtv1YVW3MCXDcnl0BEb71wqZ07+zXMvCeKKlbqmZKVWzjxwMuECkvr5ofe0IhiZWFkNCBGhZOxgjiKCiGDnqAgY7QnIBr1iPqIODJWvEYFYVTTMRG/+lCOWxEwuyIiZo/yr7qYEzHRiqF9Bto0BxqrGQQBqcyrFMirzWRbI6JvlVqeySwqZiLCRrRZKFu1jcK5Kyn6em2cJUHXMhnzoB7o26Qiefz4DyiuZYFjOTVObDVJNkXARP7po2KmfcZZpVSWJIlbv8hm1cnaCxWD38er7/2NdnmZ1bfXaVMSIrRJR9ciGQQIFZURPJmnCMy8wkrn6DKSMA/sroiTgd3QWEyUrdtJ6YrNlK7aVskio013YuzVAX2bVMQEC1JRKcGoZeRkfu0sODUgGPVoHAmIVhOCICD5/IQKipFrmRo4hkZUahbVUPC0zmg1yv1jNiImmNAkWBBtZjSJVsUNy2ZBtFkQdFpkX0ARGVUIDMkbERkeP5Iv/vf6aG/yQzfQ4vm76+EDq6iok+PGhtofdWPeHg8PLXJh0ipB9RnWyq7I3qDE+Jm5HHKHuLaLiTevUCwnp1aivzhdz5c3p7D8iI87vqocMN8zRcvCW9J4c2MJf1tbvfuwQQNfT0mlR4qeH476uPMrRaiMaW/k3xOd/PY7Nwv2exEF+OdYB5N71i5LqyTLPPV9IR9tU8bhmmJzlh/2csdXBYRlJb3yW1cmcXknU5XH1ieqWGlAZFku9zX3B5UJhi+I7A8oAbCRzFWSz6/s9weRK/wsef2RY4KVjim/jl/J7BP92R9E8gWQ/YGaCzOeYwSdtlzEVLAIRQVS9LuSfH6kUi/hojKkkrJqi11qkuzo2qSib5WCxmFDtBhBlgnnFxHMdkUqfueddjVetJoU4dIuHV2rVGSvH9/+43g27QVf+bmGbm1JvGEUiTeMQpeRrKRajgb7Hzyp/DuUSSir+swdALqWKRg6tih3LesUETRt0qp0zYkWBA0czeG9XX5eKks//Zcd/WzhEC/O+BcXFRwvF2qtlQQHukiWNsGgw7fzCJ6fduPZsBvv1gNKXEQFBJ0WY+8OWAb1UNy6BnZHNOkpXbmFkhWbKVn+M6HMUz63ToNoMUE4jFRSu7gWwWxANBpAlpE8vrpbUs4lAqDRKJYQrUaJMREEZFmGSJzJmWTVO2s0IqLJgGgyKFZakwHRpFd+N0Z+Nhvj9xv1aOwWEm+8DG2y/fTvoaJSC9TJceNC7Y/a4wlKjPwwh6zScCwgvir+uKKQ97aUkm4R+W56Og6jyIaTfm7+ojxw3qCBJVPT0GsEJs7MocgfP6kxaWHtnRnsygvUmPkL4LUJDm7obokTKuM6GPnXeCe/Wuxi2WEfOhHeuNzJVZ1r55YlyTK/+87NrJ0eBODvYx3c2qtqkfPZrjIeXaJkB9OJ8NmNKQxscW5KQ6hipRkjS1IF8RIvkqKCRvIFFMHkDyB7A0gxAaXs9xaVoJcFxc2k4jGR1V+54vG+gCKyfH5kX7B+V6fPBkFQ3HZEUZlkSjJyWKrdZFKrqXScNiMJy7BeJIwdiL5FUpxlSg5LiotRZj6B47n4j2QRPKTUkqnRCqQR0STb0URW2AmFlbiJ/CIIhTmQ3ppH7/oDIW3tYw3+2T3ATYNTYm5pciiMd+dhPBt249mwi7INuwmeEtwOoE11xESJqU9HNE4bwcx8SldtxbtxL/4DJ2rlPhaHXos2ORFNogVEUfm7LPUiFXuQvL56CRpvzESFumg2Km6dRoMiGswGZV9UYFT4WTQZIvvLRcap+4W44xTLpopKY0CdHDcu1P6oPf/8sYj/W19Ca5uG729Lr7KuyA/HfNwyVykIPOO6ZC5tZySrNMzlM3PI80hoRaWU3VMj7NzVz8qkOblsy628APfRtU66JekZ/kF2pcxgFbm9j4UXRzsqCZVXxjq4b6GLNcf9GDXw9lVJjG5fO0tHWJL5zVI3n+/2IArwf+Md3Ni9aqHy5sZi/rJasfqYtAILb0mhc9K5KwWhRlk2YwRRjE1mzoSzfbjJoXDMOiT5IhYhfyDOUiRXsCCd7hgpYqUKF5cRdpdErC+emEWpWtcsWYZAqDojTc1UIWhCWQUUfbGSoi9W1u4aei2CTodoM4OkWEsIh5FDUrmgC0uEc9yEc9yVTvfp9Lx0/S/ihUqFLF9V8dgAMzf1tOHduJey9bso27ALz89VVIMXBfTtMyLFE20Iei3holL8x3KqdOeqlojLn1KDREIOK7U8CIVj338oM59QZtXV3s8LghCL6RJMBiU7lsUYEQeKAIjtMxsVsVFBIAgmAz4phDUpEdFiKhcjRr1yrkmxFAkmfVxWOVmSkIORLF+xf2HkYFCxkoaU3zl1fyiE7AsQKvEoQfqBkHJOVdcKhSLXqryPYAgpGIq7PloN6b+fpsQPqaioqFygnCwO8Z+NymLc05fYqxQqRT6J3yxRxurb+li4tJ0Rf0jm3q8LyPNIWPUCpQGZvmk67r3YyjMrCqsUKrd20zKilYGB7+XUKFQuStPx7MhEJUalglD5xxgHdy4oYGNWAItO4MNrkxnaqnbzvZAk8+vFLubt9aIR4PWJTq7tWrU15oVVhfznZyWWxW4QWD49jXTruZUPqlhRaTAErQZNQsNmiIgSLXLp3XUE387DeHcexrfzMIGDmdWKGG26M5KSNgltigNtSiKixRgTR+GiMkJ5hYQLiggXlRIuKiNcXKakwK2Li08gMnE8w8/2v/E3cyL5FPevqFCpQrSM2bKGMc9/yCk5tyqcG3mVAUkmcDBT+Z7Ohoh17VwiGHSKILCYEK2m8lS8Ngui3YrWYVUsVWYjgk6DIGqU7FyioLhsSeUuW3IgWD6xryAYopN5yeNDKi6L7Zci24NeH14ZiAqEYLj8/IqvwVBMYDQai+MpFPf/SRUrKioqFzQvrinCF4ahLfVcWU0sxrMrC8kqDdMuUcsfL7HHtm3KDmDSKkJFJ8LL45x8s9/Lh9sqL/p1dmr57QA9N3yeX2PCHLtB4L9XJrExy8+dXxXgCyvZwP52WSK3zc9nW24Qu0Hgk+uSuTij9kLlV4tcfLXPi1aENy93cmU1bmOPLnExZ5cSsJ9uEfn+tnRshnNf0kEVKyrNAkEUY1nA7JcPiW2XfAF8e48pAf27juDbcQjf7qNKFqhsF6FsF96fK1zHbMDYrS2mnu0x9myP8bpLMPRoC/4QgaPZsX/+Q5n4dhwmcDgLyVP3dLOIouK6E3ULihb3AyASv+Mu5YcWnVnUf2TVlpTotgr7eh7dyyNff0KNdrDG7nEVEROxf8iRNssQlmPiU/YHCfuDhCtkc2uqCDptLMOYoNci6rSgU34WtFpFbOm05f+0GmVfpW065djIdWI/x47TKNeNXjNi9dNYjFhG9j3fX4OKiorKeePnLD9f7vUiAH8aVbVHyZKDXj6LuE29Ot6BWScye2cZH28vU0IZI/P4hwfZ0Gvgt99V9pbQa+C9q5P4x/oCNufUHFv878uTOFEc5vb5BfhCMqPbGXnxskSmzS9gd34Qp0lk1qRkeqXWziUrGJZ5aJGLr/d70Ynw3yuSmFiNKLvjq3yWHlLmNx0SNSybloZee35qz6lipZ7J+/dcsp59V/HBF4ibdAnRn6Oru6IY+ScobiKiiKARlaBdTfRnjfKq1SiTEY1GmXBoI5OXyO/RyY6oVSY5ol5bfr5Yfk3lVRP3PmhEZdU5GiysibRLK+L1+ZATrLEg4tjxWk2kvZr49oqRfVVdO+48sdL7xX1ejVgvfrWiUY+5bydMfTqWu5N5/ARP5uHdeQj/3uP4D5zAf+CkEpDv8ePdtA/vpn1n/8dQE5KkFFSsoahigdXOv66crvxS1XcR3RZ5TXXl8ezs/6CTzkNgd30iydSLoorcawjCKX9jkXtAqwGtWD5xj03wtUr6YINOmfxHs+hFM93FYkv0+AQJqzPiBhZ1AdPr4sSBoNOVCwedrlx4RMRFff2tq6ioqKicGdHUvQA39zBXOfl3ecP8bpkiPn55sZWBLQxsywnwh+XKtm7JOnbnB+mWpOWei6zc8FkeZcHKY9nfxzjYnhtg5p6ahcojgxKw6gVunZePNyRzWVsDf7kskalf5rPfFSLVLDL7hhS6JNUuVjEYlnlwkYtvIkLlrauSGN+hslCRJIkbv8hn/UnFW6Jvmo6vJ6cgnsci2apYqWe8Ow6XBwvLRFaB5divURr74nZFXOfrjStMNhWxF9sR78oU+UGOrr5Hv/fYa1P6thUkBF6+9k5KzFWnDzwVo8/LX2e8SoLP08AtOwVRUCb2FiNiglmJ1TAblYl7JIBcY1LcsICYhUSW5FjfyGEJwhKyJEFIKo/pCYaRw+FKblRyIFghSUTkZ2+gsnuVHLHEEKmDQsPcd0Wn/B6fulsf/7uxivpJFWorResllddIMihiyWioXIvJaIi/rrZyak0VFRUVldPz1T4vP2cFMOsEfjes6qyIT39fSJ5HorNTy+ND7bh9Er/4ugB/GC5K17M5O6CkDR7n5MXVRezKrxyncnVnIxel6Rj9iZLcJuI7UImhrQyMbW/k1nlKZfpL2hh4/jIHt87L53BhiAyrhjk3JNPBUXehotcoKYfHVSFUQpLE5TPzYm0f1cbAJ9clnVehAqpYqXda//tRHDddRjDXraQP9isZsqJZuQiEkALKNoLhWNC4HAiW+8sHQ/EBspFtsQlcKKQEZ1eY0NVUwLDJUmGyCU1L4J0t8wePYXPHHrU7WArzwqzXaOHOa9hGRYWJ2YhoMyMmJqC1mZVU1FGLmCgo1raYNUNQREiQcouiVoMoRCyLGjFmZYxZF8WISI1u00Qtj1HLZMRKF0kXjCCAVlTEiiQr90woXC6CQiEl4D8UVmKNQmGkUFiJJQpXCEAPhZV7smLgeUAJepeiIika3xKIxq4E4ZQU4bIvQPgcx+/E+qeCyxhR6422giVHpy230uo0MQuTaDWT/vRtalFIFRWVCw5fSObF1cqy0wMDEkivoqbKN/s9zN+nBKO/Ot6JXgO/+NrFiZIwbWwaskuVceDuflaOF4f4eHvlOJV0q8ifL01k1Ec5salNVfOaZJPArwYmMO3LfEoCMkNbGXhhlJ1p8/I4WhSmVYKGz25MoY29dlP4qOtXVKi8fVUSY6vIGBYISYz+JIfDhcri3tVdTPw3UjvmfKOKlXrGNWMJJ3/zRrx4EGL/UTmYoDr3D7maX+ULa9Z+AXIkpQXvj5lU6+Mf+/IDeh4/2IAtiiDJsYl42FUMZNOIyp6qSHJs4eNMCJ7MpfPy1+q5USoqKiqNm3c3l3CiJEy6VcN9F1f2ZnB5w7Eijw8MSKBfup5X1hWz/IgPo1bg4gw9X+710tqmYXJPM5PmVF44FFDiQ26bX1Cp1sqpPDHMzoMLXRT5ZQa20PPCpXamflnAiZIwbe0aPrshhZa22k3fo8H00RiV6oRKaUDi0o+U2jIA03qbeWmMs1bvcS5QxUo9U/D2gspWDjn2XxVCQ1UeKuUENFpeuv4egtramXavX7uYsTvWN3Cr6pGoNo+L0agqHqeO15Wr/aXyPvWWqxJ9+9oXHFVRUVFpDri8YV7/SUlV/PthNky6yu5OT39fSIFXomuSlkcH2/j+iI9X1ik1R+7vb+XV9cr5f7kskceWuikJVB5kHhmcwFf7PFWmMK7InX0s/P3HYtw+iX5pOv5yaSLT5xeQWRKmg0PLnBtSyKjC8lMVIUnm4UUuFpxGqLh9EqM+zI5lJXugv5WnLkms1XucK1SxUs/YrxuJb8fhc/um2vJAekErglZbdTC75tRg9grB/FE3m+h1RAE0IqFwGK1epwQAy4Cs/DHLkbS3sV/kCjEjFbbLp8SOxApVev0RN7lIfZWA4ip32rSuEZcfQaMpdwuKen1KFWIgpMi/JjYx/fiyazmS1qpWx150cCd3fze3gVtUz0T7Iy6OqIl1Ul04JbOZIFZIihD7R3nyjdg+ECKxWXL05+g+ZOLitmqiWqGm3K+CLCtX02hIGHXx2X9eFRUVlSbE/60voSQg0zNFxw3dK6fvXXjAG3P/+r/xTvK9YX61yIUM3NLTzKKDPmTghu5mVh/3szWnshjpm6qli1PLAwuVQHxRKJ8m6URiNVYuStez8KCXPI9Ej2QdL452cNtXBWSXhunk0DLnxhTSLLUTKmFJ5tElbubviwTTVxOjklsWYtRHORRHrD1PDLXx8GBbrd7jXKKKlXrG2Kklgl6LHAgpgbCRQnGiuUK16YpVp03llayjReREi7H8XIsxkn3IgGgxIJqM8dt1DdeFZ1IUUpZlwoWlBA5nETiSpaT6PRJJ93s4i+DJ/NMKEtFqUr4DnVaphxEMI/v8hIvLlDs8qMTq1ImKdUnOBJ1WKRgY6RcElJiFMp/SrjrGDIl2C/p2GUrBTkki7PGxSXTwxdDxtTo/zZ3HM3P+g1jVRF+vQ5tiR5eUiOiworGZEQx6paZINA4qWhMkFIZQCMkfRPL4kb1+JXA9UF6gsNnFQ8VEQey/8t8rWkGp8PuZ6qlTMptVd5nGINd8B06e7yaoqKionDMOuYN8tE1Jff/HS+xKLGUFFPcvRWDcPyCB7sk6bvgsD7dPok+qjtY2DbN2enAYRUa3NfDgosppio1aePqSRG6ZpxREFikXKgYN+CNTGbsBckrDZJcpAfx/G53IXV/lk10m0cWpWFRSailUJFnmsaVu5u7xoI2kJx7fsbJQOVkc4rKPc2IZy54fZefuixJq9R7nGlWs1DP2a0bQ6/IhkcDh85s9oaGQQ2GCJ/PwH85ShMiRLOXngycJHMtRUvLWRHSSWI1wkEq9NV/DoEM06kAQYwHVRAOka6piXxWiqGRlMkZS02o1Slphjz9ehARDSj2P2tT0EAW0KYlo05yEi8oIHs1WtmtEHLeOJe1309C3TI47pdgb5J/vZyEHTi8K9cEAL7//d4xBJYhbtJnRt03HdFFnbGMGYB19MRpL1XnTzwQ5GCJwPJfA4Sz8R7IUIXpY6XP/kSw4TTC5xpmALj0JbaoDbaoDjc2MLMtI3gDh/CKCWfmE8goJ5RfVWGxTMOji0gOj08TuMTkYUjKDRYs2RmM3qhJa0b+FU4XJeSYW/K6rkEpZWyE1ecX05dpI+nJtNFV4dHvUyqoE26ONpEWuYGWNpRsXAY0mUvPHSNLdV57vr0BFRUXlnPHXNcWEJBjdzsglbYyV9j+7sog8jyIWfjPYxguritiUHcBuEHhmpJ1pXxYAiovXMytPzQup8KeRdu7/1kUoMhRFRyStUC5UAMw6DZmRQpN/H+PgF98UkFOmuJ7NuSGFZHPthcrvvnPz2W4PGgH+fbmzyjoqh9xBxs/IxRtSxsCXxzmY0tNSq/c4Hwiy3ATzuqo0KLIsE8x24d1+EPemPYgnCwgeyyWYmU8ovxCp2FNv6YAFvRbRaUObmIBg1iMIorLy7wsoVcM9vojLWDUTz5rQaZWaF3ptLK2rHAwRLvHU6VpighlBr1NS5JZUTg0sJlqxDOmBdVgfLEN7okm0kvvKbNyzlytWJEEg8ebLSHtiKoZ2GbHzgrluSpZvouir1Txv7smSXkMqXbsSsszL771Ej8xDkd+rarCIoWMLjL06YOrVPvLaAW26s97reciyTCjbpQjWQ5kxERM4kkXgUBbhoprFncaRgL59Bob2GejbZaBxWAEByeMjmFVA4OBJfPtPEMoqqPYaglGPoUMLDJ1bYejcGkMX5dXYqRWCURcvYmLZ9yqkQI64IEYFj1Qh21csU18gqJwbFUWR8/ylHnQI5cdWeZ34V6m2Lo/nmPQ/3k7qo5PPdzNUmglnYplXaTjU/ojnp0w/183JQxRg6dQ0uiXHx4kuO+zltvkFiALMvzmFzNIwv/xGKeTw/tVOPthaxspjfoa10iMKAquPV043M76DkbKAxJoTlRf0NEJ5stMkk0iBV6JlgoZXxzt4aJGLnDKJbhGhklRLoSLLMk9+X8hH28oQBXhjopNru1Z2bdtbEODymbn4w8ra8b8vd3Bt18YrVEC1rFwQyKEwYXcJofwiQgVFhAqKCeUVEjiWTeBoTkyEhAvLkD0+JWXrGSLazGiS7ehSHGicCWisiguSoBGRw2HCxWWEXSWEXMWE3SWEi8oI57gIZ9ehmouAEpeji6wwCwKEJSSvP16EBENIwRBUziAIgoA22Y42zYkuIwltmgNtmhNBpyVcUETgWA6+PUcJHs2pJFD0bdMxD+mBZUgvLEN7YujcCkEQCOa4yH1lNq4PFsa+Q9uVQ0l/8jaM3dsiBUMULlhD4Rcr8KzbRShXMRn/2KUvS6bUQqgAj/j20M/go2L8nibRir5DC9BqCB7OIpRXiH//Cfz7T1A074fy45LtmHq2x9i7I6beHTD1bI+hS+uzqs8hCAK6jCR0GUlYhvaqtD/kKi63yBzKJHAkOyZqQrluwu4SvO6SKotwilYT+nYZWAZ0Q9cqBcFkAFlGKvUSzHYROHAC/8GTyL4Avl1H8O06UukaupYpiojp0hpD51YYI4JG2z7jrAfssx385XC4anEUETyKOArGxFFFoRNLcR45ppIIi16j4u+BKq4TuQaigKFL67P6PlRUVFSaArIs88IqxRIypaelklAp8Us8sawQgF9cZMVh0sTcuB4ckIAnCCuP+TFooHeqnv9tqrwol2QS6OLU8sbGKvYZRQp8ylzFpIUCr0SqWeTvYxLPSqg8u7KIj7aVIQCvjndUKVS25wS4enYuQUmJnXn3qqpdxBobjdaysm3bNl5//XW2bNlCMBikU6dO3H777Vx99dV1uk5paSnvvfceS5Ys4fjx4+h0Olq3bs2YMWN46KGHGqj1DYcsy8gevyI6IuIjXFCs/O4qJhwVJPlFBAuKCOcVIRVXNVuvJTqtUtgv0Yo2JRFdehL6dunoWiQr7iSyrEx+vD5CrhICR7MJnsgllOMmVFgCdY0tAcVdRRcJoJeV2JC6rEJHXbB06U606U50UUES+VmbnoQuNRE0Ir5dRyj7cSdlP+6gbN1OQqeKJkHA2L0tlqE9sQzphXlIz0ouXKHCEvJe/4L8/81H9iirK9ZLLyLloRsI5rkp/moNnk17CeUWVrJIFZoT+MWDz1NqOv2qxrCWet4aq8Nut+PduJfCOcspnLtScU+LYOrbCdsVQzB0aEHgRB6+HYfwbj+E/8DJKr9DwaDD2L0txp4dFAHTuwPGnh3Q2Co/5OqbcKlXiWk6lKlYYw5nETis/Bw8kVej9U4w6NC3TUffPgNtsl2JyQmGCZd6CGbl499/gnBBcbXni1ZTuYDp0lqxyHRuhb59huJiVgvUlcrGizp+nH/U+6NxofZHOYsOeLn76wKMWoE1d6RXqqvyxDI3n2wvo12ilm8mp3Dz3Hx25gUZ3FLPW1cmMeaTHPI9EtN6Wfh0V1nMxasiT46w8dfVxchE4lQi29MtItllym/R7Q6jyP+Nd/DEMvcZC5UXVxfx5s/KXKA6l65NWX4mfZZHSFIsOzMmJVfp/tYYaZRiZf369dx9993odDquvPJKEhISWLJkCSdOnODRRx/lvvvuq9V1MjMzuf322zl+/DjDhg2je/fuBAIBjh07RmZmJgsWLGjgT3J65HCYsLtUER2u4jjrR7iiJaSCKJHrq+CcICAmmJVg7BbJ6Funoe/YAl2LZLROG5I/SMmRk2gLPYSyXQQz8wkczyGU4z59XEpNaMSYNaQu7mSaJJsS+xARH7p0R0SUJMWEiTbVUe1kUwoE8W49SNmP2yn7cSeedbsquSkJOi2mizpjGdITy9CemAf3QJtYdcCZ5PGR//YC8l79LHYdbYsktA6bErtThcsYgGizYOzZjoTxg3jcOYjlBad/IFl0Arvvz6C4qChusJH8QUqW/oR79jJKlvxUbhXTiCSMHYBjylhsEweDJOHbfRTvjkP4dh7Gu/0Qvh2Hqu1Hfbt0xX2sdwdMvTti7NUBXcvkczbISf5gJDlDVpyY8R/OJHA0p8bYFrQa9G3T0LdKRWO3gkZU3P8KSwmczCN4NKd68avVYGifUe5SFnk1dm2Nxhb/8FcH/8bJhTR+NGbU+6NxofaHQkiSGfNxDgfcIR4elMATp1SrX3Pcx81fKFaUz29MYf5eDx9vLyPJJLJ4ahr/Wl/Mx9vL6JCoISzD0aLKY9GN3c18s9+LNyTHVai36IRYMHsUq17g1fEOnv6+kOwzECoAr6wr5uVIKuUXL0vk9r6Va8WsO6F8rrCsCJXPbkhmcKumIVSgEYqVUCjE5ZdfTnZ2NrNnz6ZHD6WKd2lpKVOmTOHw4cN88803tGvXrsbrhMNhJk+ezP79+/nf//7HkCHxbjahUAittmG84EJ5hQSzChTh4SqKFx35RYQLigjlFyv7XCVnFv9Ry+xWgtmAvk06hg4Z6FqmoLFbEYyKW5bkDxLOcxPMKlD+ZRYQynOXp6o4UyrenbVAk2iNuGJFrCEZSYoASXOgzUhWREmqE9FQuxXvKJLHh2fjHkrX7qDsxx14Nu5F9sb7lYoWI+aB3RXLydBemPt3VTJ01UC4qIycVz7F9cHCagVJ3OdzJmDq1xn7VcNJvGEkmgRl0vv57jIeWVw5e0hVrLgtlU4OXY2DTaigiMJ5P+D+dFmcW5Um0Yp90kgcU8ZiHtA1dq4sSQSO5uDbfhDv9oN4dxzGt+MwwZOVC1qBEl9i6t0hJmKMvTtg7Ny6QTPSVYUcChM4kUvgUES8RIXMwZMEjmYrbk3VIYroWiajS3ciWk0gisi+AKGCIgLHc5HLfNWeqk1zYOjSGmPn1hi6tEbfqRX+dBtJ3TogNtNkGk2N5jB+NBfUyXHjQu0PhRnbS/ndskIcRpEf70wnwVD+7PYGJcZ+ksORojDTe1sY0tLAg4tcCChWCKte4NrZecjAyDYGfjhWOU6ljU2DXgMH3PEiRgCsOiipMDwZNIoV5IXVxWSXhuni1PLZjbUPpgd4c2MJf1mtuLT9aaSdX1xceXF11TEfU+cpQkUrwrybUrg4o+Z5TmOj0T1t161bx7Fjx7j++utjAw2A1WrlgQce4NFHH2Xu3Ln85je/qfE6ixcvZvv27TzwwAOVBhqgwQYa9+ffc/yX/6yzABGtZkSrUclIJQjIoZCSkarEU/UqcoXra1Md6FokoUmyo7EYITJ5lLwBwu5iQtkuSr7fXGmi3mBEmibaLIoLVotyFyzFAqJYQqICRTTq6+Vtw0WllK3fRdnaHZSt3YFny/5K353GacMypAeWob2wDO2FqU/HGmM25GAI3+6jeDbtw7NpL6UrtxA8nltjOwSTAcvAbtgnjcR+5TC0yfZKx2SWhPh9xCf2dNx7sZXOTj2nW1fQJtlJvudqku+5Gt/eY7hnL6Nw9nKCWQW43v8W1/vfou/UEsfkMTgmj0bfKlWxIrTPwH7NiNh1Qq7imPuYd/tBfDsO49t7jLC7hNIftlL6w9byzxp1I+ulWGBMvTtg7NG+Qd3IBK0GQ7sMDO0ySCC+NogsSQQzC2LuZDERcySbwOFMpDIfweO5VfehICjWueRERLPyIJdKvQRz3cqCQ46bUI6bslXb4k7LsZgwdG4ZcStrHXMr03eovUuZSv3Q1McPFRWVhsMTlGIWiF8PTogTKgAvryvmSFGYDKuGW3tZuPFzZeHu4UEJDGtl4PJZucjA4Jb6KoUKQLdkLUsOVd7XLlHD4cLy+YhOhKcH63kxIlQ6O+uW9Qvg/S2lMaHy+2G2KoXKiiNeps8vQJKV91wwOZXeafUz5zqXNLon7oYNGwAYMWJEpX3Dhw+PO6Ymvv32WwAmTpxIVlYWK1asoKSkhNatWzNy5EgslobJfKBJMKNxJCDoNGidNjTJdrRJdkSbOeb6JHsDhIvLCBUUKRaYbBdSqQeptJpVeo2INtmOJtGKaDQoq8HhMFKpl5C7hFCuOxasfS4QzAbFDSsWC1Lh54yoKElCtDSsiTGY6y6PN1m7A9/Ow5VEoq5FMpZhvSKWk94YurSqNqW0LEkEDmXi2bwfz8978W7ej3f7wdO73QkCxt4dsE0cjG3sAEwXdVbieapBlmV+tcgVSxlYE2kWkadGVBY7p8PYtQ0Zz9xJ+lO3UbpqG+7ZyyhasIbAgZPk/OUjcl78GOvIvjimjMF+1fC4vtI6bVhH9sM6sl9sm+QL4NtzFN+Ow3h3HMK77WDMjcy75QDeLQeo+Beo79ACUy/F+mLq07HBspGdiiCK6FuloG+VgvWSvnH7ZFkmlOMuz1wWcy/LxH8wE6lEcXesFLcUQZNkR+tIUDKMBcOEi0oJ5RUilZV/B/EniOjbZ8QsMbH4mC6VXcpU6oemPn6oqKg0HO9sLiWnTKKNTcP03vGuUttyArFA+edG2XlsqZuyoMyQlnp+M8TGO5tL2Z0fxKYX2JlXtfV+Qgcjiw9Vts63scULFQF4dqSNN38qIbNMpqOjbnVUAD7dWcbTKwoBeGRQAr8aVLmQ43eHvNz5VQESoNfAwimpdEtpekIFGqFYOXLkCABt27attM9ut+NwODh69Ohpr7Njxw4Afv75Z/76178SCJRPOJ1OJ6+++iqDBw+u9vwz9Y6zXnYxLf7xAP69x5TJ0JFsSldtrTHYF5RYCSVFbsQq4gsoLkZhCcJSbFW3IRH0WkV4RLJj6TKSCNnNWNu1QJ+RrFhH0p1KO2sx6axvD8PAyTzFYvLjDsrW7MB/4ESlY/QdW8SsJpahPdG1SavUVlmWlYlrZgGezfvwbtqnvG45UOtkBJpEK9Yx/UkYO4CE0f0rWU9q+uwfbytl3cnaxR399wonGqG8zae7diVEEeuoflhH9aPFS/dTvGAN7tnLKFu9ndKVWyhduYWTj7+J/doRJE4Zg2VozyrFnGDQYerbCVPfTjiin1GSCB7LwbvtkBILExExoawCJfPXoUyKvlodu4Y2JTHehaxXBwwdW9Qo7OobJeubA/PgHnHbZVkmXFCsuJUdzKxQOygT/6GTSEVlhAsUF86qEO0WNDYLgkaD5A8QdhUj+4MEDpwkcOAkLFwX3470pFiWsqiAMXRudU4EXUPQWNrc1MeP5sQZPa9UGowLvT/c3jBvbiwB4HfDbOg15d9FMKwUUZRkuLaLidXH/OzKD+I0ibw+0UlOaShmkXGaRI5UEafSIVHDssOKUKnoCW/WCmSWxB//++E23tpURmaZTPtEDbOvTybFLNa6b77c6+Hxpcp88N6LrDw+JKHSuYsPernnaxcyirvZoltS6Zyka5T9X5vxo9HFrNx1112sWbOGJUuWVDngjB07luzs7NhgUh29e/cmEAig0Wi46667mDZtGnq9nm+++YaXXnoJo9HIt99+S2pqapXnFxYWnlGnFr/1NUUvzap6p1YpxkZYqjlA+FRE4eziSEQB0ZGAJiMJbUYSYmoi2jQHYpoDTUoimnQHmlQHYqK10Uw6ZFkmdCQH/0978G/Yg/+nPYRPnBJLIQjourTCMKg7hkHdMAzsiiYlscrrSUVlBLYdJLDtEP7Iq5RbWPlArQYxwYxU5oVAfApnMdmG+doRmCcOQt+3I4Km7nEKJ0slrprnJViL5GbXtBd5cWTDpBQMncijbN4qyuauInys3CVK0zoFy6RLsFx/CdrWVd8bpyPsKiG4+yiBXUcjr0cIHcys8m9YMBvQdW2DvmdbdN3bou/RDl3XVkp2r0ZEuLCU0JFsQsdyCB3NUX4+qvwsuUpqPFewGBHMBkBQUoPXEBcjJJjRdcxA27Eluo4t0HVsgbZjS7StU84qxXRD43A4Tn/QOaCpjx8qKioNwz9+8vPhrhDdnSKzrzLGVat/Z3uAVzcFsRvg0Yv1/OlHZXHiv2MNjGip5dEVPpYeDZNuEcguq3xfa4BEIxRU8WhPM0NOBaeZe3tpWXQ0zLESmVZWgQ8mGkm31H4usfxYiEdX+AnLcHMXLX8coq80b1t6NMRvVvhjQmXu1Sba2htvXGVtxo9GZ1mpL6IDxaWXXsrjjz8e2z59+nRycnJ4++23+fzzz3nggQeqPN9ur7vrDUDQZKLqtVcUgVJRpIiCIl4kWclOVN3YVoNQES1GNMmJ6FokKalc26QpcSEVgtW1yfYzWr2WZZmioiLsdnuDixhZkvDvOx6LNylbu4NQzinuOBoRU99OikvXsN5Kpi5HZR9NyetXAsY378ezaR/ezfsIHMys/KaioKSqtZoJF5YQPJYLoTCSO37yaRrYnRZ/vRfzRV3O6jNKssytC/NqJVQSdPD82FQSK/iv1mt/JCaS3Ksz8tN34lm3E/enyyj6chXh43kUvzaX4tfmYhneG8eUMdiuGYHGWgfRlJgIHVrDleWuOJLHh2/30Yj1JRILs+sIssdPYPN+Apv3l5+vETF0aa1kIetdnlJZU01WtnNCYiK0axW3KdofVjQEDisxMYp7WVbs53B+EXJZ9QJFMBkQDDrl767Mh1ziIbDlIIEtB+OP02vRd2iJoUu5K5mhS2sMnVqdNiGESt05X+NHc+Jcjh8qp+dC7o+TxSE+3at4TTw10oHTUe72fMgd4j9bcwD41UAbL29Qxv8HB1i5qqed5Ud8LD1ahgjkeuLnYlELSgenlv2uyvXpOjm0HHCXb7+lp5nlJwMcK5FpbdPw3jg9XVs4at0fPxz18fgPBYRluKGbiX+Od8SJLoAF+zz8ZkUZMmDUwndT02iX2PSn+o3uE1itih9hSUnVq5WlpaUkJJx+0mK1WnG73YwePbrSvssuu4y33367xtW1M72ZdW1SlWrngCAKIEnIEVeuSkgySNVYWLQaJf4l2Y4uIwl9mzSMXVqjb5OmuGq1SKoxTW99IghC/Vc+D4fx7TxC6ZrtsZiTsCveVU7QazH376rEnAzphXlQdzQJ5srX2XsM78/7lCD4zfuU4oBVWK707TMw9e6AYDERzi/Cu3V/ZREjCLG4F+u4gWQ8ewemHu3r5TO//XMJ23JryFRVgd+PSCTFUvXtWZ/9IQgC1mG9sQ7rTcu/3UfRNz/inrmU0h+2UrZmO2VrtiP+/r/YrxmB49Zx1bqJnQ6NxYRlQDcsA7rFtsnhMP4DJ2NB/N5tSlaycEEx/t1H8e8+CnOWx47XtU5V4l9iIqbjOU2nXB3axAR0F9uwXFxZzIaLPRHXspOKW9mhzFi8TCivENnrrzbxhWDQKWmXI0Ug/XuO4t9zlLi7RBDQt0mLiZeYkOnautqU282Zpj5+NEcaYvxQOXMuxP54ZX0J/jAMbWXg0rbG8oyYsswfvi/EH4YRrfUs2O+lJCDTP0PPb4fa8YXhj5G4EKteoDgQL1ZkoFWCpkqhkmQS44TKiNYGNmUHOOAO0SJBcf2yyaW17o8NJ/3c/bWLQBiu6GTilfFONGL8eV/tK+OBhW5kwKQVWDY9jbb2RjfNPyMa3aeIppQ8evQovXrFV8QuKirC7XZz0UUXnfY67du3x+12Y7NVDjqKbvP76z87VuGny5ADyoS0OnuIoNchWk1onTa0LRQhYujcGlP3dujbp5+T4PRzjRwM4d12UBEna7dTtm5XpfgQwWTAMqi7Ik6G9VbSCFfIFCbLMoHjOXgiwsS7aS/erQeQqli11qY6MF3UGdNFndGlOQnmuChbvZ2ib9fFCRnRbETfLh3/0Wxl9VuWMQ/sTsaf7qyyIvuZcsgd5IXVNcctRemdqmN673MfwCuajThuugzHTZcROJFH4ZzluGYtJXAwE/es73DP+g5923QcU8bguGUs+jZpZ/V+gkaDsWsbjF3bwI2XAUofBzMLlHTK2w7GgvmDx3JiWbyKv/kxdg1Nkg1TLyWI3xgRMuc6DqYmNDYz5r6dMPftVGlfuNijxMYcPBnLWuY/pKRiDuW6a07BrFUKshKWlHo0R7MpWfpT/CGpjlMETBuMXVo32biY2tDUxw8VFZX6ZV9BkM92K35YTw63xT375uzysOa4H6NWoLVNy6ydHhINAm9e7kSnEXj1xyKOFoUxaRWhcmpVBp1IpXiUKP4KlSLb2DS4vRJ7C0KkW0Tm3JBCG7uGwsLafYZtOQFum5+PNyRzWVsDb0x0oj1FqMzfW8aDEaFi1gosn55G62YiVKARipWBAwfyv//9j9WrV3PllVfG7VuzZg0AgwYNOu11hgwZwqZNmzhw4ADjx4+P23fggJK1p2XLlvXU6nKct03Eu+0QolGPNt2JvnUKhk6tMfZoh6lvp0axEnwukPxBvJv3UbZ2B6VrtuPZsKuSqBCtJqX4YkScmPp1irMUhVzFlK3ehmdzVJzsI5RXWOm9RKsJU7/OmC/qjLl/Vww92hM4nKkUS5z5HcFjOXHH6zu1JGHsAESjnsK5PyiWGMDQuRXpf7wD25VD67WPQpLElZ/m1rr0zF8uS6y0YnKu0bdKIfU3k0l59GY8G3bjnvUdhXNXEjiaTc5LM8h5aQaWS/rgvGUc9quH15u4FgQBfctk9C2TlWKWEcJFpUoq5Yj1xbftIL59xwkXFMcSBUQRLUaMPdpj6tMBY++OipDp3q7OdXoaGo3NrFiK+nSstC9c4lEETDRrWQXLTCjXXXPMWyTGLZolsGx1fKpl0WbBGAnuN3Rtg7Fra4zd2521+GwMNPXxQ0VFpX55aW0RkqxYIyrWFskrC/P8D4WAElQ/a6ciaF4e56SVTcshdzAWkB/N3Bkdw6NhxDqNQLAKN/2WCRpORkSMSQN2o8j23CDJZpHZN6TQPlFb65i2/a4gU7/MpySgZCZ7+6okDNr4+cGXe8p4aFFEqOgEVkxPo6Wt0U3vz4pGF2AfCoWYOHEiOTk5zJkzh+7duwPxRb2+/vpr2rdXXHNcLhdutxuHw4HT6Yxd5/jx41xxxRUkJCQwb9480tLSYteZNm0au3fv5oMPPmDo0KHn/kM2EepSREryBfBs3EPZmu2Urt2O56c9lVL+ahKtSpauYb2wDO+tuGRFVsAlrx/vtoMxi4ln0z4Ch7MqvY+g02Ls2Q5z/66YLuqC+aIuGLq0IphVQMmSnyhesoHSVdviXGsEgw7LsN7Yxg8kYfwgAkeyyHrufXzblLgAbbqTtCem4Zw6rt6DmGVZ5upPc9mcU7P7V/ThN6WnmZfHOas85nwX9ZI8vjg3sai7nGg1Yb/uEpy3jsM8uMe5q3Lv9ePbfRTv9kPllpidh6t2q9JqMHZrq8S/RASCsWeHs6oHc776o6JFJiZmKriWnSktXrqf5F9cXX8NPQ+o40fj4Xw/r1TiuRD7Y1OWn6tn5yEKsHx6Gp2d5QtWDy4s4Mu9Xro4teR7JFw+ibv6WfnzpYnIssy0L/NZcdSPVoQKRhI0AoRlsBsEivyVp88pZpE8T/kJPZJ17MoP4jCKfH5jCt2SlTbUpj+OFYWYNCeX7DKJvmk6Zl+fUqk2TEWhYtEJfN8MhQo0QrECSmGve+65B51Ox1VXXYXVamXJkiWcOHGCX//619x///2xY19//XXeeOMNHnroIX71q1/FXefjjz/mhRdeIDExkXHjxqHX61mxYgUnT55k8uTJPP/88+f6ozUparqZpDIfZT/tVuIa1m7H8/Ne5FOyZ2mS7ViHKsLEMrw3xu5tESI1Yvz7TuCJiBLPz3urjzPp2AJz/66YL+qCuX9XjL06IBr1yKEwnp92U7zkJ0qWbMC3Oz4dqa5FMgnjB2IbPwjrJX0RLUa82w6S9af3KF2xGVAm2SmP3ETKfdc1iNudLMs8ttTF7F3eGo+LmpbtBoFVt6eTVE1RqMY02ASO5+D+dBnuWd8ROJId267v1BLnLWNxTB6DrkXyOW+XHA7j36/EwVQUMWF31TEM+g4tYuLFFLHCaKvJKFfpvRpRf0QJF5cpwuVgphIrc0ipIeM/dPK06dOdt0+k1f89fI5a2nCo40fjoDHeHxcyF2J/3PxFHmuO+5ncw8wr48sXI74/4mPal/kIKG7X23KD9EzR8dXkVIxagW/2e7j3G1dsbD7V/etUARMlKmSitLVrOFoUxm4QmHNDCr1S493aa+qP7NIw13+Wy9EipbL9Fzel4DTFzw0uFKECjdANDBQT/MyZM3nttddYuHAhwWCQTp068cgjj3DNNdfU+jrTp0+nZcuWvPvuu3zzzTeEw2E6derEfffdx80339yAn6D5ES714lm/i9K1StC1Z9O+SuJCm+7EMqw31uGKW5ehS2sEQSCYmY/n570Ufr4Czyal2KJUWnkCr011YLpYESXmi7tguqhzXJBwqKCIoq9WU7zkJ0qX/0y4sLT8ZFHEPKh7xHoyEGP3drEHQOB4DtmPvU7hnO8BxTqTdNeVpD4+BW1Sw2Xt+cePRacVKqCkFvSF4bdD7dUKlcaGvnUaab+9ldTHb6Hsxx24Zyyl6KvVBA6cJPvPH5L9l49JuOwiHFPHY7t8yDlzwRI0Gozd2mDs1gbHTRXiYE7mKZaXreVuZMHM/PJ6MF+uil1Dl5GkxL/06YSpj2KJ0bVKbRIDvMZmwdyvM+Z+nSvtCxeVKsIlUkvGf+hk5DWTcGEpxp71k0jifKOOHyoqKj8c87HmuB+9Bh4bUh575g1KPLlcqVFycYaen7MCmHVKnIpRK1AWkHh2pZLTNao7oq9aAUJy5XxJUTEjVhArdj0cLQpj1Qt8cl1ynFA5HS5vmFvn5XG0KExbu4ZZ11cWKvP3XjhCBRqpZUXl/BMu9lC6bgeu5RsJbdyHd+uBSneormUKlogwsQ7vjb5DC6QSL94tkcxcEatJKKug0vUFswFzv86YLlaEiXlAV3QtU+ImhLIs49t5OObe5dm4V0nxHEHjSFCKMo4fqBRmPCWNcaiwhNxX5lDw1vyY1SfxhlGkPXUbhnYZ9fl1VeKNn4r565rTB9RnWEWySiV6JOtYeGtqpaC5ijT2lbFwiYeir1bjnrmUsh93xrZrHAkk3ngpzqnjq4zPOF+E8otiMTDR18CBk1Ueq3EkKK5jvTti6qsIGX2HDIqKixttf9QFKRA8J5kFVS4cGvvz6kLjQuoPWZa56tNctuQEubuflecvTYzt+8uqQt78uZRks4jbKxGW4f/GO7i5h5LU5sXVRfx7Y0kla4pBA/5wZatK9Di9BgKR9duohcWkFZgxKZnBLSunl6+uP0oDElO+yGNzTpB0i8i8m1Npc0qgfMVg+gtBqIAqVlQihItKKVu3k9LViluXd+vBOGEAoGuThjXi0mUd3httRhL+PccUd66Ne/H8vBf/vuOxWIYYooixRzvMF3XG1L8r5gFdMXZpU2V8iOTxUfrDVoqXbKBkyU8EM/Pj9ht7to+5d5kHdK0y65PkC1DwztfkvvJpzPpiuaQPGc/dXeWKc33z3pbSWLrDmnAYBdw+5buad1MKg6p4oFWkKQ02/kOZuGctxT1rWVwfGnt1wDl1HIk3XYbWWTnT0vkmXOLBtzOSRnnrAcWVbM/RKl0URYsRbdfWJFzcVbHC9O2IoWsbddKvokLTel5dCFxI/fHtAS+/+LoAs07gxzvTSY54LOzMC3D5zFzCspJauMArcX03M69NUGqdHHAFGf1xTpwrF8RbTqoqe1fVdoMGPrg2mZFtqnYxr6o/fCGZ6V/ms/aEH4dRZO5NKXRJih9PvtpXxgPfNu9g+qpQxcoFSqiwhLIfd1K2ehtla3fg3XawksjQt89AN6ALjkv7YxneGwHwbNwTs5h4tx2sMphZ1ypFceXq3w1z/y6Y+nSqMSYkcDxHiT1ZvIHS1dviAvMFkwHrqH6Ke9fYgehbpVR7HVmSKPx8BdkvfEgwUu3e2KMdGX+6C+uY/ufkAf3pzjIeW+o+7XGiAF2cWvYUhLi+m5nXJ1YdVF+RpjjYyOEwpSu24Jq5lOJv1sYsXIJei23iEBxTx5Ew+uJGk2q4KiR/EN/uI3i3HVRiYLZWH8gv6LUYu7crT6XcpxOmnu0Qzc0rFbmKyulois+r5syF0h9hSWbMJznsd4V4ZFACvxtmj22/dk4em7MDZFg1ZJWGaWfXsOjWNBIMIrIsc8u8fFYdU57rIhBdrtWJVFnMubrYFa0I71yVxLgO1RdTPrU/QpLMvV8XsPiQD4tOiXHplx7vOvb1Pg/3feuKpSdecduFIVRAFSsXDCF3iVLfZLWSrcu343BlcdKxBdbhfbCM6I2xZ3uCWQW41mxF3nWs+rTBNovixtW/C+b+3TBd3AVdqqPGtsihMJ6NeyhevKHq4PjWqdgmDCJh3ECsI/rUqkJ3ycotZD37bizDly4jibQnp+OYMuacTYTn7/Xw4EJXrVIUT+pqYt5eLxadwKo70kmznL6NTX2wCblLKPxiBe4ZSxW3wgjajCQcU8bgvHUcho5NIx2sHA7j23+CgnXbEQ9kKa5kWw9Wqh0EgChi6Nwq5j4WDejX2M59LR0VlXNFU39eNTculP74fHcZjyx2k2gQ+PGuDGyR7FkfbC3lqe8L49y55t+cGhMECyJC4FQS9AIlgcqjulkr4AlV3i4K8J8rnFzVueZMkxX7QwYeXeLm890eDBr45LpkhrWOX+BaGLEWRQs+ft/M6qicDlWsNFNCrmKlxknEcuLbWVmcGDq3xjK8F+YhPdA6bQSOZOP5WXHnqsp3X9BpMfZqH7GadMV0cVelAF8tKpqHCksoXbZJce/6bmN8dqZocPyEQdjGDcTQvW2tH6beXYfJfvY9Spb9rFzKaiL10ZtJ/uW153Q1e8kh5UFS1SrLqVza1sD23AAFXpmnR9i5f0DtKo03p8HGu+MQ7hlLcX/2PWFXeWyPZWhPHFPHY79mBBpr9atSjYFT+0OWZQJHs/FtO1juRrbtYLXphPXtMxTh0rdTTMRokxsu4YOKyrmkOT2vmgMXQn8EwjKjPszmWHGYJ4fbeHCg4mqcXRpm1EfZlAbkmJWk4thbFpC45MNscspOcX2vxqKiFyFQxXYBeHWCgxu7n34hKtofdrudP/1QzLtbStEI8M7VSYw/xSKz5KCXuxYoQsWoheXT05tNZfraooqVZkKooChWgLFszXZFnJyCoUtrJUtX11aIOh3+Aycj7lwHqqyWrW+fgbZXO+xDeilWkz4d4yrK14Qsy/j3HY9ZT8rW74oL0NckWsuD48cMqBQcfzqCmflk//UT3LO+U2JrtBqS7rqStMdvOecTvlXHfNw+Px9/uHqf1ihpFpHLO5n4YGsZHR1avpuWhl5Tu4GjOQ42kj9IyeL1uGYsVQRnJE4qVrtl6njMg7o3ys9bm/6QZZlQtgvvNkW4REVM1E3xVHQtkiPiRRExxt4d0bVIapSfX0WlJprj86opcyH0x4dbS3ny+0JSzSJr7kzHrFMWUu/9poBv9nsxagV8IZlRbQx8MikZMfI9RIPqId79K2qFOZVTUxRH+dvoRKb3sdaqrdH+eG+PyCvrlfd+bYKDG04ROssOe7l9frlQWTYtnXaJF5ZQAVWsNFlC+UWUrd1O6dodlK3eFqvCXhFD1zaYB3ZDl+pECgUjwfD7COcXVTpWk2hVMnNFAuDNF3dB47TV6eEm+YOUrd0eEygV629E22ObOBjb+IGYB3Y/owKM4RIPea99Tt6b82IxA/arh5P+zB3nxYXop0w/t8zNxxuScRoFXL7qbydRgDcvd/LQIhchCWZcl8yl7Wpv/Wnug00wMx/37GW4ZiwlcCgztt3QuTWOqeNwTB6NLu30sT3nirPpj5CrOCJeDuDddgjvtgMEDmZWTk6BUq8oGsAffdW3TW+WfwMqzYfm/rxqajT3/vCGZIa/n0VOmcRfLkvkjr6KaPguMtmPBsknmUS+m5ZGasT1urqg+lOLO0aJBuafytMjbNw/oPZJY2RZ5o0f8/jbBiVG98+XJnJXv3ihs+KIl+nzC5BkRTh9Ny2NDo4LM4GLKlaaCKGCIqU6/Jrtijg5Jc4DFDFg7NYG0WZBimQ18u8/Uek4QafF2LtDzJ3L3L8r+g4tKj3AavNwC+a6KVn6E8WLN1C6YnNc/RRBr8UyvE9MoOjbpp/x55dDYVwfLyLnbzNibjXmQd3JeP4eLIO6n/F1z4YduQFu+jyP4oBMj2Qtu/JDNR7/xxE2fjjmZ+UxPxM6GHnvmroVTWzug00UWZZjtVsK569C9kQC2TUitgmDlNotYwcg6M7v6lJ990csE1nEfcy7ZT++fccrJ/VHiRWrKF5MvTti6NSyUScqULmwuFCeV02F5t4f//25hD+vKqJVgoZVd6Sj1wh4ghKXfpTDyZJy88hH1yYxpr3iZiXLMjd9nsePJwNx17LqBUqriFOJlho4lVPTI9eGaGwNKHVgfjMkXuisOubj1nn5MaGydGoaHZ0XplABVaw0WmJuXau3VS9OOrVE1zoNQashlFeIb/eRat25KgoTY++OtSrSV9XDTZZlfNsPUbx4PcWLN+DdtC/uHG2ag4SxA7FNHIR11EVnHXcgyzLFi9aT/af38e8/rnyeji3IeOZObFcNO28P3QOuINd/lkeBV+KiVC1bckM1BtZf2tbAtN4W7vnahUED399Wd5/T5j7YVEW42EPhlz/g/mQJno17Ytu1qQ4cU8bgmDoeY+dW56Vt56I/JK8f364jcRYY387DsaxqFREtRow928e7kXVtc95FncqFyYX4vGrMNOf+KPFLDH0/G7dP4pVxDib3VFypojVVou7Zp4qKb/d7+MU3SlB91P1LQHG38p7yiLXqoDQyvapYg2VUWwMzrkuu03e69JCXuxcUEJbhrn4Wnh8V3ydrT/iY8kU+YVmp37Lo1lS6JtW+qGRz5KzEitfrZdOmTWzevJns7GzcbjdGoxGn00mXLl0YNGgQbdu2rc/2NlviYk6qcevStU5Fm+ZADkkEj+cQLqhcdLAqd64zrdIefbjZDCbKVm1V3LsWbyB4SpFH00WdSRg3ENuEQZj6dqpVwH1t8GzeR9Yz71K2ZjsAGqeNtCemknTH5ed1Ana8KMR1n+WRXRqmd6qOAk+YzCpWW6I4jSILp6Zy02d5HCsO8/CgBJ4YVvc+ac6DTW3w7TmGa+ZSCmcviwtaNw/ugXPaeOzXXnJOg/LPV3/IwRC+vcfKLTBbD+DdcajcAlUBwaDD2KNdxAKjWGGM3dvVOvasIVHHj+bNhf68amw05/74v3XF/HNdMR0dWpZPT0MrCuzODzJhRrl7V49kHV9PScWgVT67Nygx8N2sWK2zKG1sGo4VVw5UiQbbV4xLbZEgsv7OdMQ6zHnWnfAzdV4evjBc1UHDm1eloalw/k+Zfm74LI+wrLznoltS6ZZy/p/X55szEiubNm3i008/ZfHixQQCAaq7hCAIdOzYkSlTpnDddddhtdYu8OhCoDbiRJvuRJNgJlzqrbIKPFoNplPduTq2rJcHUeBkPsVLNuD6Zg3+H3fF1ZQQzAYSLr2IhPGDsI0fhC69fuMIAsdyyH7hQwo/X6G8n1FP8n3Xkvrrm897utfs0jDXf5bL0aIwnZ1ahrbU8dF2b43nfHZDMhsyA/zjx2LSrRpW3Z4WC/yrC815sKkLcjCk/G1+soSSpRsrB+VPm4B5YLcG/44aU3/I4TD+/SeVFMpRAbP1AFKJp/LBWg3Gbm0rZCLriKlXhxprIdUn6vhxYdCY7g+V5tsfbp/E0PeyKAnIvHm5k2u7mpFkmevm5PFzluLeZdQKLLo1lc4V3KieWeHm3S3xqebTLGKljGAANr1A8SluYVoRfro7nVRL7RdOd+QGuPHzPEoCMmPbG/nHCJEUpyPWH5uy/Fw3p1yofH1LKr1UoQLUUazs37+fl156iTVr1qDRaBg8eDD9+vWjZ8+eJCcnY7fb8fl8FBUVcfjwYbZs2cL69evJzMzEbrfz4IMPcuutt6LVXnhuCXGphKvJ1qVx2hB0WkLuYqjCzUPfNl2pAB9NHVyH7FynQ5YkvJv3U7x4A8VLNsTqlUTRtUrBNnGwUvvkkr4NsjIbLiol9//mkP+/+TF3tsTJo0l/6jb0rVLr/f3qissb5sbP89hbEKKtXcMzI23cvaDmApAPDrBye18roz7MwRuS+fdEJ9d1qzn/enU018HmbAhmFeD+9LvKQfldWuOcOh7HlDFoUxIb5L0be3/IkkTgaA7eLftjdWC8Ww/EpYqOodXQ+t+/wXHTZQ3WHnX8uLBo7PfHhUZz7Y+/ri7ijY0ldE/WsWRqKqIg8Mn2Up5YVhg75qUxiUzrXb7YcbgwyCUf5CBT7tKlERT3r7JTPOkTDQKF/srT5HeudHL5aWqpVOSQO8ikz/LI90gMbqnnk+uS8ZcWxfpje06Aq2bnEpIUIfTV5FT6pqlCJUqdxEqPHj1o1aoVt99+O1dccQUOR83F/6Js2LCBzz//nG+++YaHHnqI+++//4wb3FSIK8K4eluV4kRMMCGHpSrdN8QEs1JscUC0EnzXep90hUu9lK7cTPGiDZQs/YlQboWJtyBgHtAV3ag+pFwzElPP9g3nlx8I4nr/W3L+MSs2kbJc0oeM5+/B3LdTg7xnXSnxS0yem8fWnCDpFpH3r0ni2tl5VeZaj9LOrmHl7ek8vMjF/H1eBrfU88WNKWf8PTbXwaY+qDYoX6vBNnEwzqnjSBgz4Iwy0NX0nk2tP2RZJngyX4mB2XIgllI5lO2ixYv3knzfdQ323ur4cWHRFO+P5kxz7I/csjDD3s/GG5J5/+okxnc0ke8Jc8kHWRRHYuYv72jk7avi07+P+TibPQXxC8LdkrSVthk14KsidfGN3U38a0JSrduZXRrmujm5HC8O0yNZxxc3pZCgF2L9sTs/yBWzcglKimiad1MK/Vucvhj2hUSdxMrcuXO59tpr0Zxhxpljx46RnZ3NoEGDzuj8poB3xyFO/OpVvNsOVkpDKhh0VQbAI4oYe7SLCBNFnBi6tKq32I+KBE7kUrxoPSWLN1C6eltce0SriYTR/RULytgBaJLqlrq4rsiyTPHXa8l67v3YqrihS2synruLhPGDGs0D1RuSmT5PyRjiMIp8fmMyDy9ysbOG7F+iAGvuSCOrVOL6z/IQBVh4Syq9Us98paQ5DjYNQbjYQ+Hclbg+WRyXAEKbkYRjyhic0yZgaJ9x1u/TnPpD8gUaPI5FHT8uLJrT/dEcaI798cyKQt7dUspFaToWTElFEAQeXuzii92K+2u6RWTptDScpvJnzifbSnlieWHcdTo6tBx0x4/nFYPoK5JmEfjh9gys+trNzwp9Ejd8lsueghDt7Bq+vDmVFIsm1h+5YTMTZ+URCCtC5bMbkhnc6twVtG4qqNnA6pncV+eQ/fwHyi/VVAjUZSQp7lwDuikCpW/nBvMXl8NhPJv2U7J4PcWL1leKjdG3S8c2YTAJEwdjGdoTUV/u09mQDzfPxj1k/vEdPOt3AaBNSSTtD9NwTptQr6vfZ0sgLHPP1wUsO+wjQS8w54YUFh708NqG0hrPe3hQAo8PsXH5rFx25gWZ1tvCS2Nqt5JcHc1xsGlofLuO4PpkCe45y+Pcnywj+ihB+VcPRzSd2QqW2h8qKtWj3h+Ni+bWHydLQoz4IJtAGGZNSmZkWyNrjvu4+Yt8QBEbs29IZnjr8rlVWUCi1/8yCVSwlpi0ylTtVPev6vjy5hQG1tLq4QlK3DI3n41ZAdIsIl/enEqbSBZQWZbZetTF9Qu8sYLSsyYlM6KNKlSqos7OvzNnzuTWW29tiLY0C+RgBXUuyQhmA+Z+nRVhEok10bWoW32NuhIu8VD6/SYl/mTpT/FFIEUR86Du2CYOwjZhMIYurc/pgytwNJusP39I0dyVAAgmAykPTCLl4RvRJJxZLEdDEZZkfr3YxbLDPowa+PDaZIoD0mmFSoZV5HdDbXyyvYydeUHsBoEnhtW+WJRK/WHs0Y4WL95L+rN3UrxoPa6PF1P6/SbKIinBT/7uPzhuvBTHtPFKJrtmMIg3ZtTxQ0VFpT741/oSAmEY2lLPJW0M+EMyv/2u3JX9wQEJcUIF4J6vC+KECkC3JB2bc2qnVB7ob621UAmGZX75jYuNWQHsBoEZk1JiQgXgaFGoXKgAH1+bpAqVGqizZaVbt24MHz6cF198kbS0tIZqV5MlmJlP/rtfo2+dhnlAV4zd2p4TS0HgWA7Fi5TaJ2VrtsXVYRBtFhJGXxxz79I6azdxrs+VmHBRKTkvz6bgrflK2wQBx5QxpD15G/qWDSvezgRZlnliWSEzdpShFeH9q5PokaJn+PtZVfqwVmTB5BQ6OHSM+EDJ+15VZdozbVNzWhk7XwRO5OKe+R2umUsJHsuJbTf26oBz+gQSb7oUbWLCaa+j9kfdUcePCwf1/mhcNKf+OFIYYtRH2YQkmHtTCoNbGnhlXREvrysBoHeqjgWTU9Fpyj/n8iM+pn+ZH3edARk6NmbVTqh0dGj5bloaes3pvztJlnl4kYt5e70YtQKfXp8cJ3JOFocY9ZGSdEcAPrgmibEdzl3a/aZIncXKb3/7WxYsWIDNZuPpp5/mmmuuaai2qdSAHA7j2bhXKc64aAP+PfFFI/UdW2AbPwjbxMFYhvQ8o7ok9fFwiwXP/30mYbfyILGO6kfG83dj6t3xjK7Z0MiyzAuri/hvpJjUm5c7ubyTiatm5bA9r+Yq9eM6GPngmuSYL23XJC1Lpip53+ujXc1lsGkMyJJE6Q9bcc9YQtHXa2PxW4JBh/2qYTimTcB6SZ9qY8fU/qg76vhx4aDeH42L5tQfjyx28fluD5e2NTBjUgqHC0OM+jA7VkRx+fR02ieWz3l8IZl+b2VSUiH9sMMo4AvKeE+z+AhKLMmSqWl0S65dMe1nVxbx7pbS2ELn6PblQiS7NMTID3MoCypC5a0rnVxRh6xiFypnFLPy3Xff8eyzz+JyuRg3bhzPPfdcrTO7qJw54WIPJct/pmRJxL2rYlFIjYhlcI9Y/El9VPU+m4ebLMsUf/MjWc+9R+BgheD5P99DwtgBjfph+a8Nxfx9rfLdvjzOwZSeFp5bWchbm2t2/9IKsPbOdEqDMuM+UYpRfXp9MpfUk2m3OQ02jY2Qu4TCz77H9ckSfDsOxbbr26bjuHUsjlvGoW+VEneO2h9nhjp+XBio90fjorn0x35XkNEf5yDJ8M2UVPqm6bj609yYK9fLYxOZ0ivek+H+bwr4an98PbSL0nVszq5sVYkG1lcMsH96hI37B9TOI+XV9cX840dl/vD6RCfXVyhVkO8JMeKDHEoCilD5+0g9t1x05hlCLyTOOMC+sLCQ5557joULF5KUlMTzzz/PmDFj6rt9Fzz+I1mULN5A8aL1lK3dERcTo7FbSRjbn4QJg0gYMwCt4/SuK3XhTB9unp/3kvXMO5T9uBOIBs9PxzltfKMKnq+K97eU8vSKQgCeHWnn3osTWHLQw50LXKc994H+Vp4cYeeWefmsOubn8o5G3rm6/lzcmstg05iRZRnv1gO4P1mC+7Pvy4sqiiIJl12Ec/oEEiYORtTr1P44C9Txo/mj3h+Ni+bSH/d9U8CC/V4mdjTy7tXJzNlVxqNLlFiV0e0MfHRtctznqxh0H2VMewPLDlcuGaEVIHTKjLhfmo6vJqeiqYV3xMfbSvl9JNPY86Ps3H1R+ZzM5Qkx/MMciiM1W14dn8jYjGCT749zxVlnA1u0aBHPP/88brebPn36YDBUDj4SBIEPP/zwbN7mgkEOh/H8tEcJjl+0Hv/eY3H79Z1aYpswGNuEQVgG9zgj965at6WOD7fAsRyy//wBhV9UDJ6/jpSHb2p0wfNV8fnuMh5ZrDz0Hh2cwOND7RwvCnHZR9mnNRUnGgTW3pnBjyf83P11AQYNfH9bOm3t9dc/zWWwaSpIHh9FC9bg+mQJZWu2x7Zrku04bh6NY+p4fOk2tT/OAnX8aL6oz6vGRXPoj515AcbPyEUAlkxNpZVNy0VvZ+ILQYJeYN1dGSQay912SwMSg9/LptBXXhCtZYKGnNJwJVGiEyEYOSxqVTFoYOVt6bSuxTi+YJ+H+791IaNkA31imD22r8gnMfyDLNw+5U3/PiaRW3tZmnx/nEvOeiY1bNgw+vTpw4oVK9i6dWuVx6gdUTNR967ixespWboxvsK0RsQytBe2CYOwTRiEodPZu3fVN+GiUnJfma1Unm8CwfNVsfigl99EVmfu7mflsSE2/CGZ2+fn18qn9TdDbBi0As+vKgTg3osT6lWoqJx7RLMRx+QxOCaPwX/wJK4ZS3B/uoxQtov8N+eR/+Y89Bd1RrrjchInjUJjVQMk64o6fqioqNSWf0bcq67pYqJHip6p8/LwRZxN3royKU6oAPxhuTtOqIiCImpOniJURMqFikkr4I0omRcvS6yVUPnhmI9fLVKEyrTeFn43tNxlrDQgccmH2TGh8pfLEpna24paNaRunNVsauXKlTz99NPk5+czevRoHnvsMYxGNfVabfAfyaIkmr3rVPeuRCsJYwdE3Lv61yoz0flADoYoiAbPRwSWdWRfMp6/B1Ofxhk8XxWrjvm4/9sCwjLc1N3Mn0bZEQSBZ1e62euqOaAeoF2ilul9rPz35xKOFoVJt4j8amDj7DOVM8PQsSUZz9xJ+pO3UfLdRlyfLKZ48QYCm/dzcvN+sp56G/t1l+CcNgHzwG7qBLsWqOOHiopKbdmcHWDJIR+ioCwOLj3kZcVRxZXruq4mRraNf3Z8d9jL3D3xcSoTOxr59oCv0rWjcsagISZURrUxMLmn5bTt2pId4O4FBQQluLKziRcvK7eUeCJCpcCrvMMzl9i4o+/ZZwa9EDkjsVJWVsaLL77I3LlzsVgsvPjii0yaNKm+29askENhPBv3KOmFF63Hv+943H5D51YkVHTvasSxHbIsU7xwHVl/eo/AgZMAGDq3JuPPd5MwbmCTmqhtyvJz14IC/GG4vKORf45zIAoCX+0t4+PtZTWeG635+YfhNgq8Eq//pGQ7e+qSRCy1rG6r0rQQtBpsEwdjmziYQHYBWR98g/eLHwgczFTiXD5ZgqFrG5xTx+OYMgZtsv30F73AUMcPFRWVuvKPtUq9uBu7m2lj03DFrFxAyer16nhn3LEub5hfL3bHbeuWpK1SqFQkWoMlQS/w2kTnaecyB1xBpn2ZjycoM6K1gdcnOGOxLb6QxKiPcsgtU4TKH4bb+GV/td7amVJnsbJu3TqefPJJMjMzGTJkCH/961/JyMhoiLY1ecLFZZQsq+DeFUndC8S7d00cjKFjy/PX0Drg2byPrGfejfnwa5LtpP9hGs7pExu1wKqKXXkBpkceNCPbGPj35UloRYGD7mAsdqU6tCKEJOifoefKTiYeXuzGE5QZkKFnUlfVHehCQJfmxPbLq2n9u2l41+/C9ckSCr9chX/vMbKeeYfsP3+AbeJgHNPGkzD6YgRN07o/GgJ1/FBRUakr6074WXnMj1aERwfb+MU3LsqCigXkw2uT4+qpAPxheSHuCu5feo0iYGrCrBPwRK75r/EOks01P69PloS4ZV4+bp9EvzQd716dhEGrtCMQkrj0oxwyS5X3fGxIAg8NVIXK2VBnsXLnnXdiMBh46qmnmD59ekO0qUkTrStSvHAdpWt3QKj8BtEkWkkYNxDb+EEkjO2Pxt50zIGB4zlkv/ARhZ99D4Bg1JN8/3WkPnIzGlvjD54/lcOFIW6dl0+hX6Z/hj72oPGGZG6fX0BAqvn8cGT/Hy+xszErwNw9HgTgz5eqwXIXGoIgYBnaC8vQXrT46y8pnLsS1ydL8G7aR9GCNRQtWIOuRTKOW8fhnDoOfdv0893k84Y6fqioqNQFWZb5x4+KVeWWnhb2uYJ8d1ixkNzYzUz/jPikHPP3evj6lDTFw1rpWXE0UO17WHRCTPxM6mpiQqea5zQub5ip8/LJLAnT0aHl4+uSsUa8KUKSxGUf53C8WJn7/WpgAr8ZolrYz5Y6i5U+ffrwt7/9jfbt2zdEe5o8+f/5kuzn3o/9HnPvmjgIy6DG7d5VFVKJh+zXviT/v1/GiuYlTh5N+lO3oW+Vep5bd2ZkloSY8kUeeR6J7sk6Pro2GbNOedD87jsXhwtrjlNplaDhREmYKzqZFMtKxBw9paeZPmn6Bm+/SuNFY7OQdMcVJN1xBd6dhxXXsDnLCWbmk/vPWeT+cxbWUf1wTpuA7cqhiMYL6+9FHT9UVFTqwqpjftadDGDQwN39LFz5aR6gZOB8eVxi3LHZpWH+sDzeK6J/uq5GoQLEhEqySeRvY2qu+VQWkLjty3z2u0JkWDXMmpSM06TM60KSxJiPczlSpAiVey+28vvhqlCpD+qculiSJMRqKjqrgP/ACXL/bw7Gnu2V7F1NxL3rVORgiIIPF5L9t0+QXIr7mmVEHzKevxtzv87nuXVnToEnzPWf5XHAHaJ9opZ5N6WQYlEeNJ/uKOWx7wprPD/FLJLnkdCK8P30NDZkBnhsqZsEvcCq29Nj12oImkPqyeZEbftD8gUo/vZHXJ8soXTF5th2TaKVxJtH45w2HlOvDueiyecddfy4cFCfV42LptgfsizHCj7ec5GVfQVBfjimBNV/fmMyQ1sZ4469bX4By4+Ux6WYdYpzS1WeEgl6gZKAjFFLLKPY3JtSGNyycvr0KIGwzB3z81l5zE+iUWTeTSl0SVKq2kuSxLgZuewpUC52ex8LL46uXvg0xf44n9TJspKTk0NaWtpZvWFubi6pqU1zRb42GDq1ovW/f3O+m3HGyLJM8aL1ZP/pPfz7TwDKZ8p4/m4SJgxq0jdVsV9i6pf5HHCHaJGgYfb1yTFxsTs/yBORYk7VIQqQaFTEyvTeFpLNGv66RjFPPzrE1qBCRaXpIhr1JF4/isTrRxE4loNrxlLcM5cSPJlHwVtfUfDWV5j6dcI5fQKJN1yKxnb6DDRNEXX8UFFRqQtLD/vYnBPEpBVoa9PwzuZSAK7sZIoTKgAzdpTFCRWAFlYNB9yVY1U6JGo4VBjGrBXwRLJ/3d3XUqNQkWSZRxa7WHnMj1kn8PG1SXFC5fJZeTGhcktPc41CRaXu1GmJa+zYsbzwwgucOHGiTm8SDodZuHAhV199NXPmzKnTuSrnDs+W/Ry69g8cnfo8/v0n0CTZSHzuDjqv/je2iYObtFDxBiVun5/P9twgSSaRWZOSaWlTtHppQNkXOk2cypQeZva7QiToBR4dbOPV9cXkeyQ6OrTcqaYjVKkF+jZppP9hGt22vEf7Oc9jv2YEgk6Ld8sBTj72b3Z1m8qx+/5B6eptzS4Pvzp+qKio1BZJlvnHWqUkwk3dzbywWlkYtOjg5XHxQuBoUYjnfiiK29Y3VVulUOmfoedQobI9KlRa2zQ8dUlitW2RZZk/rijkq31edCK8c1USF0diZSRJ4to5+ezIU9zkb+hm4p/jnNVeS+XMqJNl5de//jX/+9//mDlzJv3792fChAn07duX7t27o9XGXyonJ4ft27ezdu1aFi5cSGFhIcOGDeOqq66q1w+gcvYETuSS/cKHFM6JBM8bdCTffx0pj9xEiRRE0DXt4oaBsMwvvi5gQ2YAm15g5qRkOjmVFRE5slpysqTmTCH903WsjJifHxyQgNsn8e4WZZXnuVGJ6DVNV8ipnHsEjUappTR2AKH8ItxzluP6ZAn+PUcpnPM9hXO+R98+Q0mBfMtYdBlJ57vJZ406fqioqNSWb/Z72ZUfxKqDjVkB/JEh+p9jHSQYytfZw5LMrxe7Ypm8AGwGga25lWNPh7TUx8Z6vUZJVSwK8F6FTF5V8cq6Yj7YWoYA/GuCk1EVarrc+EU+m7KVmJiru5h4bWLTf1Y3Ruocs1JUVMR7773HF198QX5+PoIgIIoiCQkJ2O12fD4fRUVF+P3+2DnDhw/nzjvvZPjw4fX+AVTOnHBxGbmvziH/PxWC52++jPSnb0ffKrVZ+FSGJZn7F7r4Zr8Xk1Zg1vXJDGxRbup9f0sJT68oquEKoBPhkUEJ/HNdCRlWDT/cnsYvv3Gx/IiPse2NfHhtckN/DED1cW1s1Hd/yLKM9+e9SgrkuSuRSiMZbUSRhLH9laD8CYOa9OKBOn5cOKjPq8ZFU+qPsCQz+uMcDrhDDGulZ+0JRQwMbannsxtT4tr/n40lMatLFJMGTs1UfFG6ju7JOmbu8MRVqf/tUBu/Hlx9WuH3tpTyxxWFgFLR/vYKXhSTv8hj9XHlWTWhg5H3rqn9XKAp9UdjoM5iJUooFOKHH37gxx9/ZMuWLWRnZ1NYWIjRaMTpdNKlSxcGDhzImDFjaNmyaQaZN1eiwfM5L80gXKCYWS3DeyvB8xd1KT+uid9Mkizz+FI3s3d50Gvgw2uS46rcbskOcPXsXKTT3AHvXuXk10vclARkXh3vINEocsdXBehEWD49jQ4OXQN/EoWm3h/NjYbsj3Cpl6KvVuP6eDGe9bti27UpiSROHoNz2niMXVrX63ueS9Txo/mjPq8aF02pPz7bVcavl7ix6sATUoov6wRYeUc6be3lizW784NcMSsnVswRoIVVJLM03qe7k0PLH0bYuXtBQdz27slaFt+aFivkeCrz9nh4aJELgMeH2ni0gqiZNi+P748qQuVMFi2bUn80Bs5YrKg0PaquPN+KjOeqDp5vyjeTLMs8u7KId7eUIgrwvyuTuKJTebFGt0/isg+zyfPWHKhyeUcjGQla3ttSSs8UHfNvTmHsjFyOFIZ4cEACT444d2kJm3J/NEfOVX/49h3HPXMp7k+XEcotT8tpHtQd59Tx2CeNRGNVC5GqNC7U51Xjoqn0RyAsM+rDbI4Vh7EZBIr9yhT198Ns/GqQLe64K2flsis/GNtWsV5KlDSLyNwbU5g8N58TJeFYQWedCKtuT6e1vWpL9bLDXu5aUEBIgrv6WXl+lD32vd35VT5LDinB/CPbGJh1fUqdP2dT6Y/GQr35E4RCIY4cOUJJSQkJCQm0a9eukh+yyvnDs2kfWc+8Q9naHUCk8vzvp+GcPqFJu5VUxz/XFcdiSl4Z54gTKpIsc/+3BacVKmYt/H5YAmNmKHndnxlp570tpRwpDJFmEXl4UELDfQAVlQjGLq3J+NNdpD91G8VLf8I9YynFSzbg2bAbz4bdZD75P+zXjcQ5bTzmQd2b5MCnjh8qKioAn+4s41hxGIOGmFDp6NDwy/7x4+3L64rjhApQSahYdAILpqTy2oYSTpSEMWrAF7HCvHBpYrVC5adMP/d+4yIkwfXdzDxXQajc+3VBTKgMaak/I6GiUnfOejRwuVy88sorfPPNN/h85WnjjEYjV111FY8++ihOp5oZ4XwROJZD9p8/oPCLlYBSeT7lgUmkPHxTk6w8Xxv++3MJr65XasP85bJEbuoRnwr2jQ3FrDrmr+rUOObelMpLP5YQkmB0OyOdHDru/EoxIz85wh6rWKuici4QdFrsVwzFfsVQgtku3LOX4ZqxhMCBk7hnLME9YwmGzq1xTB2HY/JodGmN/7mrjh8qKipRvCGZf61XXNP9FVy7/j7GGZfE5qdMP29uLIk7VyNAuIJW0Yrw9ZRUDrhCfLK9DCgXKkNb6pnau+oU8bvzg9w+Px9fSGZMeyOvjHMgRoTK/d8W8M0BJZZwYAs9n91wbuJVVc7SDSwnJ4dbbrmFzMxMnE4nPXv2JDk5mfz8fHbu3InL5aJFixbMmjXrrPPrq9SNUGEJuS/PpuDtr5ADIRAEHFPGkPbkbehb1u4Ga4pmyk+2l/LEskIAnhhm4+FB8YFza477uPmL/NNe56ZuJm7tbWXSZ3mIAnw3LY03fiph7h4PF6frmT85JfYAO1c0xf5ozjSG/pBlGc/6Xbg+Xkzh/FXInogI14jYJgzCMXU8tnEDEbSNrwaQOn40bxrD/aFSTlPoj7c2lfDcD0UIQHRiOrmHmVfGly9YlAUkxs/IiVWJh8pCBeCT65K4ON3AmE9yyCoNIwpK7ItZC+vuyiDJXPmZeKQwxKQ5ueR6JAa20DNrUjImnbIo+chiF5/v9gBwUZqOryannFWB26bQH42Js7Ks/P3vfyczM5Nf/epX3HPPPRgM5VmW/H4/b7/9Nm+88Qb/+Mc/+Oc//3nWjVU5PZI/SME7C8h9+VPChYoblHVUPzKeuxtTn47nuXUNy5d7PPw+IlQeGpBQSahkl4b5xdcFVZwZj1Uv8PdxDq6fo7h/3dLTQrFfYu4eDwLw50sTz7lQUVGpCkEQsAzpiWVIT1r89T4Kv/wB9ydL8GzcQ/G36yj+dh3aNAeOyWNwTB2PsXOr893kGOr4oaKiEqUsIPH6BsWqEtUdiQaBpy+Jjwv986oijhSF4wTNqULlqRF2Lmtn4tElLrJKw7E0xQCvX+6sUqjklIW5dV4euR6J7sk6PrimXKg8tqRcqPRKOXuholJ3zkqsrF69mksuuYQHH3yw0j6DwcBDDz3E5s2bWbVq1dm8jUotkGWZonk/kP3nDwkczQbA0K0tLZ6/G+uY/s1euS856OXhxS5k4PY+Fn4/PF6oBMMydy/Ip8h/ekPizOuSWXhAqZxr0Qk8OjiBOyNZRKb0NNMvXd8QH0FF5azQ2Mwk3TaRpNsm4tt9FNfMpbhnLyOU4ybvtc/Je+1zzIN7KEH5111y3oPy1fFDRUUlyjtbSnH54sfnZ0cl4jSVC4vlh718HHHpqm4kv7yjkQcGJLD0kJc5uxSBERUqV3U2MbFjZff3Qp/ErXPzOFoUpp1dw8xJySQaFTHy2+9cfBq5To9kHQtvUYXK+eCsvvFAIECPHj1qPKZXr14EAoGzeRuV01C6djsHxj3KsXteInA0G226k1b/eoQuq94gYeyAZi9Ufjjm45ffFhCW4YbuZl64rLJZ9cU1hWzJCVZzhXJu6GakZ6qeFyN52x8YkMCyIz625wax6QV+P/zcZf9SUTlTjN3b0uLP99B9x0e0/fApEsYPBFHEs34XJx5+ld3dp3L8of+jbN1OzldCSHX8UFFRAUUsvBGxqkQZ2srATd3LhYXLG+axpe5TT42jdYLIvy9PwuUN87vvlGOjMwGHUeSVcY5K53iCErfNz2dPgZI4Z9b1KaRaFIH05HI3M3coQqVLkpbFt6pC5XxxVpaVXr16cfjw4RqPOXToEL169Tqbt1GpBt++42Q//z7F364DQLQYSfnVjaQ8eD2ixXias5sHP2X6ueurAgJhuKKTKS4YLsrCA17e2lR22mtZdPDX0U7e31LKiZIw6RaRyT3MjJuRC8BjQ20kV2E+VlFprIh6Hfarh2O/ejjBrALcn36Ha+ZSAgczlXTIM5ei79QS563jSL73GkTzuXtuqOOHiooKwCvrivBUKDiv18DfRpcvOsqyzBPLCsn1SHHuXxXRijD7xlQMWoFHlyjH6kQIRpJ+vn+NE8spSXH8IZl7FhTwc1aARIPAzEkptIlkCPvj924+3KbMGzo5tCydmqoKlfPIWX3zjzzyCN9//z1z586tcv/nn3/OypUreeSRR87mbVROIZjj4sRjb7Bv+P2KUNGIOO+8gq4/v0va7269YITK9twA07/MxxuSuaytgTcmOtGeUtzpkDvIQwtPH6cC8J8rkvCHZV6LrPD8bpidf28swe2T6Jqk5fY+1tNcQUWl8aLLSCL10cl03fA2Hb/9B45bxyFajAQOnCT7+Q/I+eesc9oedfxQUVHJKQ3x/lZFFESH7wcHJNDJWV5s+Ys9Hr494K1WqAD8e6KTtnYtX+3zMH+fcmxUqNzdz8LAFvHzorAk8/BiFyuP+THrBD66Lpluycp7PrvSzXuRNnVI1LBseipaVaicV87KsrJu3ToGDx7MU089xTvvvMPFF19MUlISBQUFbNq0icOHDzN8+HDWrVvHunXrYucJglCln7JKzYRLveT/ey55b3yBVKak+bRdMYT0P96BsWub89y6c8vegiC3zM2nJCAzpKWet69KwqCNFyreoMQdXxXE0hXWxMSOBsa0N/H0926KAzI9U3T0SNbyeMSU/Pylieg0zdudTuXCIC4o/2/3UTR/FaUrNmO7fOg5bYc6fqioqDyw0IUUUSCSDO0TtTw0sDzm9ERxiKe/LwSqFyo3djdzVRczuWVhnlwef2wbm4Y/XpIYd7wsy/xheSFf7/ei18C7VyfRP0NJ8PH8D4W8s1kRKu3sGr6/LU0VKo2As0pd3K1btzN7U0Fg9+7dZ/q2FxxyMITrk8XkvDQzVsHa3L8rGc/fjWVow7lINNbUeocLQ9zwWS45ZRIXpemYdX0KCYb4h4ksyzy0yMWXe72nvZ5JAz/elUGRX2L0xzmEZZh9fTL/t76YdScDXNnZxFtXJjXUx6k1jbU/LlTU/jg71PGjeaPeH42Lxtgfyw97mT4/3vNh9g3JjGitWEHCkszkL/L48WSgWqtKywQNq25PR6+BuxYoBRujVepFAVZMT6WjszwpjizLvLC6iP/+XIoowH+vcHJlZyU25oVVhfznZyWLahu7hpXT09BrG0aoNMb+aMyclWXlo48+qq92qFSBLMsUf/sj2c9/gH//CQD07TNIf+ZO7NcMvyD/wE8Wh5j8RR45ZUp6wY8nVRYqAJ9sL6uVUAF4YbSDFIuG3y5zE5ZhfAcj+R6JdScDGLUCz16iBtWrqNQ36vihonLh4glKPLDQBZTXSbmpuzkmVADe3lxao1DRCDDnhmQMWoE5u8pYcsiHiCJUAJ4aYYsTKgCv/1TCfyOC5B9jHTGh8uLqophQaW1rWKGiUnfOSqwMGjSovtqhcgpl63eR9af3u8LbrQAAe9xJREFU8KzfBYAmyUbab2/FecfliHrdac5unuSUhbl5bj4nS8J0dGiZNSkZh7Hyw2RLdoCnImbj0zG4pZ7JPcysOuZjaWRF5jeDbdzxlVI48uFBCbS0ndVtoqKiUgXq+KGicuHy8CIXJQFFgoRlJVvXMyPLFwZ35QV4aa2SlbM695+/XJZIu0QdJ4tDPLOiEICITqFfmo5fXpwQd/wHW0t5aa0Sk/rsSDtTeipV7P+2poh/bywBoFWChh9uU4VKY0OdhTUyfPtPkP3nDyj+ei0AgslAygPXkfKrm9DYKucHv1Ao8ISZ8kUeRwpDtLFp+PT6ZFIslTNzubxhbpufV6lIVFVogZfHOZFkeP4H5aF4Wx8rC/Z7yS6TaGvXVHrYqaioqKioqJw58/d6WHhQibuNWk2eGWmP1VTxhWQeXuyO1UepiuGtDEzvY0WSZR5d6qYkIMeq1Bs18NG1yXHeJ1/sLostYv56cAL3Rsb2v60p4vWfyoXKyttVodIYUcVKIyGY7SLn7zNwfbwYwhKIIs6p40h7Yiq6Fsnnu3nnlUKfxC3z8tnnCpFu1TD7hhRaJFT+0w1LMr/4Op8Cb+3CsJ4YYad9opZZO8rYla/UUbm2i4kbP1cq1z83KhGj9sJztVNRUVFRUWkIjhaFYolrQBEqw1vH11R5aW0Ru/OD1bp/JegFPr5OiSN9f0spa477Y0IF4LUJ8VXqFx/08ugS5T3v6mfl8SFKAH9FodIyIlSMqlBplKhi5TwTLvaQ98YX5L05F9njByBh4mAynrkTY7cLK8NXVZT4JaZ9mc/OvCDJZpHZ1yfH8qCfyj9+LGLdydMXfgTokazl3outlAakmKn514MTeHldMUEJxrQ3Mq7D+a3wraKioqKi0lwIhGXu/7YAT7Bcghg18NIYR8wK8sMxH29tUmJHqlt2/OS6ZAxakQOuYKyAc1SoXN7RyJVdyoXPqmM+7osUjb6pu5nnRtkRBKGSUPlBFSqNmkYrVrZt28brr7/Oli1bCAaDdOrUidtvv52rr776jK4XDAa58cYb2bNnD+3bt2fRokX13OK6IQWCuN7/lpx/ziJcoPhQmgd0I/1Pd2Id1vu8tq2xEK0suzk7gMMo8un1KXG51yuy5JCX138qrdV1ReD/xis1Wd74qZg8j0S7RC1pVg0/HPNj0MDzoxLr74OoqKicU5r7+KGi0hT565oitubELyj+erCN9onKVNTtk3h0savGa9zV18KAFgaCYZlHFrvwhctdyRxGgdcvL8/c+VOmnzsrFI3+Z6Ro9F9WFfJmJJheFSpNg0YpVtavX8/dd9+NTqfjyiuvJCEhgSVLlvD4449z8uRJ7rvvvjpf88033+TYsWMN0Nq6IUsShfN+IOcvHxE4kg2AvlNLMp6+HdvVF2aGr6rwhmTu+KqADZkBbHqBWdcn0z25aqFyyB3kl1/XrvAjwP0DEuiVqudEcYi3NikrK78bmsALqxXR+MCABNolNspbQ0VF5TQ05/FDRaWp8t1hb8xiEqVbkpb7+iuxI7Is8/tlbrLLpKpOB5QsXc9fmggoWb225ARj7l8CisXFFHHd3pEb4LZI0ehRbcqLRldMT9xKdf1qMjS6HgqFQjz99NMIgsCMGTN44YUXeOKJJ5g/fz6dO3fm9ddf58iRI3W65s6dO3nrrbf4zW9+0zCNrgWyLFOyfBP7Rz/C8V/8ncCRbLRpDlq+8hBd1/wH+zUjVKESwR+S+cWCfNYc92PRCXwyKZneqfoqjy0LSEydl0eg+udbHO0TNTwa8Vd9cXUR/jAMbWVgZ16QzJIwrW0aHqxQkEpFRaXp0FzHDxWVpkxWaZhfL3bHbROAv491xIotz9nl4ev91Zcb0Agw53olaH5LdoBX1yuLi1H3r/v7W+mXrhR2POAKcsu8fIoDMoNa6Hn3aqVotCpUmi6NrpfWrVvHsWPHuOqqq+jRo0dsu9Vq5YEHHiAUCjF37txaXy8QCPD73/+evn37Mm3atIZo8mnxbNrH4UlPcvjGp/FtO4hoNZH21G102/guSXdcgaBTV/GjBMIy931bwPdH/Zi0Ah9dmxyrLHsqsizz0MICjhXXUqmgZP8yaQV+yvQzf58XAbi7nyW24vPcqMTYyoyKikrTojmOHyoqTZmQJPPgwgLcPgl9hQSed/azxsb2w4Uhnv7eXc0VFJ4daadNog5vUOJXi11xGT87OjT8YYSS9vhokVKLzeWV6JOq48NrkzHpRP60sjCujsoqVag0KRrdLHnDhg0AjBgxotK+4cOHxx1TG9544w2OHj3K/Pnzz7nlwn/gBNl/+Yii+asBEPRaku66itTHJqNNUgsNnoryUHOx5JAPowY+uDaJIa2qFioA/91UwpLD/lpf//Y+Fga3NCDJMs+uLARgck8zH24rIyjB6HZGxncw1nwRFRWVRktzGj9UVJoDr6wrZv3JAAYN+COpiDOsGp4YpngwBMPKoqMnVP01BmTouaufFYC/rC7ikDsUi1PRiTDnhhREQSCzRBEq2WUSXZO0zJiUjM0g8sfv3by3tQyAtnYNK9SCj02ORidWoib6tm3bVtpnt9txOBwcPXq0Vtfatm0b77zzDo8++ijt27evUztkuXbpb6simFVA7j9m4vpkiZKGWBBIvHk0ab+fir5N2llf/1wRbeO5aGtYUvKqf3vAi14D71ydxPBWhmrfe81xPy+sKq719TMsIr8fZkOWZT7fVcbWnCBWvUC/NB2f7vREguoVAdlY++Zc9ofK6VH7o5zGMpFvDuNHc0G9PxoX56M/Vh3z8doGJS5UJ5aLlb+NTsSiE5BlmVfWFbElp/osnkYt/O9KJwDfH/HyfkR0RD/FP8YkkmbRkFsaYvIX+RwvDtPOrmFmpGj075e5+Hi7B4B2dg3Lp6Wi0wjn/e9SvT/Kqc340ejESmmpYqZLSKi6GJ/VaiU7O/u01wkEAvzhD3+ge/fu3HXXXXVuR1FR0Rn9Efl+3En+Pf9E9gUAMI6+CPvjN6Pv2gYP4CksrPM1zzdFRUUNev2wJPP0mgALDoXQivDKKAP97D4KC31VHp9VKnHb/Op9W6vi2aE6wt5iThbL/GW1cu4dPbS88qMieO7prSORUppC9zR0f6jUDbU/wOFwnO8mAE1//GiOqPdH4+Jc9Ue+V+KhhT5koFeSwI4C5X6Y0E5Df4cyvm/MDvHaTzV7Rzw3VI8hWMLhbJlfL44f90e2FBnbIsiRbDd3LvFyqFAmwyLw9ljlnEe+9fHFfkUhtbUJfHmNHk9pMZ4G+cRnhnp/1G78aHRipb549dVXOXr0KF988QUaTeVK56fDbj8zNy2Xy4PsC2Ae3IP0Z+7AMqTnGV2nMSDLMkVFRdjt9gZbOZVkmd9+V8iCQyE0AvzncieXd6q+vok3JHP3vOzYCk1tuLm7mat6KjfDf9cUke+VaWvX4JX15HqDtLVreHR4SqMvAHku+kOl9qj90Xw5X+NHc0K9PxoX57I/wpLMvcvyKfDJdHJo2edWfLzMOoGXxqWQaNZQ6JN4YFlWjde5opORqRcnIcsyv13tIt8rx9y/7AaB965Lxx+WeWBhPvvdMmkWkTk3ptA+UcvDi13MjQiVLk4tS6amoBUbj+uXen/UjUYnVqxWxS+xpKSkyv2lpaXVrppF2blzJx988AEPPPAAXbt2PaN2nOkfT9K08dgnDEKT3Hz+AAVBaJDPIskyf1hexOxdHjQC/PtyJ1d0Nld7vCwrBaXqElCfYhJ4dlQigiBwrCjE25uVldc7+1r58yplReMvlzkw6RrPQ+x0NFR/qJwZan80Hpr6+NEcUe+PxsW56I9XNxSz9kQAs06gk1PLgYhY+culiaRYtMiyzHVz8mqMU0kyCbFikXN2eVh4UPG0kFEyic24LhlJhtvmF7AtN4jTpNRi6+DQcd+3BSzYp1hheiTrWHxrCmIjEioVUe+P2tHoeq9du3YAVfoVFxUV4Xa7q/RHrsjevXsJh8O8/vrrdO3aNe4fwOHDh+natSsDBgyo9/YDaFMS1T++06AIlUJm7ChDFOC1CU6u7lK9UAF4fUMx39UhoB7gpbFOEo3Kn/nzPxTiD8PwVga+2uchLCuFoi5rpwbVq6g0B5rD+KGi0pT54ZiPV9eX1y9bHBEZfdN03NRDGePv/bogJmCq49XxTpwmDUcKQ/xxRWHcvgcHWOmWrOP2rwr4OStAokHg0+uT6ZKk486v8mNCpXdq4xYqKrWn0VlWBg4cyP/+9z9Wr17NlVdeGbdvzZo1AAwaNKjGa7Rr144bb7yxyn2ff/45CQkJTJgwAZOpencjlYZDlmWe+r6QT7YrQuVfE5xc161mofL9ES8v/Vj1aml1XNvFxISOSh//cMzHwoM+NAIMaWXg5XXFWHQCz41S3TVUVJoL6vihonL+yC4N86tFLmRgai8L8/Z6kQFRgLeucCIIAn9dU8i3B6uOR40yvbeF0e1NhCSZhxe7KAuWx391TdLy68E27lpQwI8n/Fj1AjMmpdAzRc/UeXmsOKosaPbP0PPlTcmqUGkmCHIjiwIMhUJMnDiRnJwc5syZQ/fu3QHFfD9lyhQOHz7M119/HcvO4nK5cLvdOBwOnE7naa/ftWtX2rdvz6JFixr0czQHZFmmsLCQxMT6sxTJsszTKwr5YGsZAvDqBAc3drfUeM7xoiDDP8iJy6t+OpLNIt9PT8Np0hAMy4yfkcM+V4hbe5r59oCXQr/MsyPt3HtxzS4hjYmG6A+VM0ftj8aHOn40HtT7o3HR0P0RkmQmf5HHupMBuifr+M3gBH7xjQuABwZYeWpEIu9uLuGZlTUHlLe1iSydlo5FL/LKumJeXlee9dOggbV3pvPb7wpZfsSHWScwc1Iy/dN13PRFPutOKomNhrYyMOf6pEYtVNT7o240up7UarW88MILyLLMrbfeyh//+Edeeuklrr32Wvbv389DDz0Ul0ZyxowZXHHFFcyYMeM8tlqlNpwqVF4ed3qh4g1KXPlpbp2ECsBfRztwmpTA2A+3lbLPFcJhFPGEZAr9Mj2SdbG87SoqKs0DdfxQUTk//H1tMetOBrDqBf53hYPfLlOKPCaZRP4w3M7snaWnFSoC8NrEJCx6kY2Zfv5vfXx5gtcmOHjqe0WoGLUCH16TRP90HVfPzosJlUvbGvj8RtX1q7nR6NzAAIYMGcLMmTN57bXXWLhwIcFgkE6dOvHII49wzTXXnO/mqZwBVQmVyT1rFiqyLHPDZ7kUeOumVK7pYuKKSEaxAk+YlyPpiW/qYeatTaUIwN/GJKIV1dUMFZXmhjp+qKicW5Ye8vLvjYqb9svjHHy4zUOhTxm3/3O5ky/3ePjN0sLTXueRwQkMaGGgxC/xq0UupApD/7VdjXy138eigz4MGnj/6iQGtdQzbkYuewqU+JcJHYy8d01yvX8+lfNPo3MDU2k81JeZUpJlnv6+kA+31V6oADy+1MWsnXXLiF7R/aviNXok6/CFJA4VhpnW28JLYxpHXYi6oJqNGxdqf6ioVI96fzQuGqo/jheFmDgzh0K/zN39rNx7kZWhH2QjyTCkpZ7b+lh5YKHrtNfpm6Zj/s1KwcZfLXIxd0/52J9uERjU0shX+5Si0e9elcSI1gZGf5LD4UIlPfH13Uy8PjGp3j5XQ6PeH3VDtZOpNCjRrF91FSofbi2ps1CBePevzdkBPo1co2+ajkOFYVLMIk8OV4PqVVRUVFRUzgZfSObebwoo9MtclK7nqRE27liQjySDRoAbupt5sBZCxaBRMoLqNAJf7C6LEyoi0C/dwFf7vOhE+N+VSQxpaWD4h+VCZVpvc5MSKip1p1G6gak0DyRZ5ollhczcoQiVV8Y7uLnH6YXK2uM+nvy+7lVdr+9mjrl/KdYcNzIwoaORLyIPv+dGJWI3qhpdRUVFRUXlbHhmRSHbcoM4jCL/u8LJnF0educrLlljOhj53XeF1MZ150+jEunk1HGkMMQflhfG7euXrmPRQR9aEf57RRKDWxgY+kE2+R6l3tovL7byzMjE+v1gKo0OVayoNAhhSea337mZvcuDKMCr4x3ccJpgeoATxUFu+SK/zu+XZhH586WJsd9n7/SwJSeIVS9Q4JEIhOGytgau6aKmG1VRUVFRUTkbZu8sY0ZkIfLflzsRBHhmZSEAJi0sPeirlVAZ18HI9N4WgmGZhxYWxKUpTreIbMoOohXhP1ckcXGGjqHvZ1HkV455fEgCjw5RPSUuBNQlZpV6JyzJPLq0XKj8a4KzVkLFG5QYPyOXmktFVc0/xjpixR8LfRIvrlEsM2PaGdmYFcCoFXhxtEP1DVVRUVFRUTkLduYFeHK5ku3rsf9v777jm6rXB45/TnbTdE+mILXIkCV7CCgisgTuVVERrlfcuL3iQhy4t+D+uScOUFkCDmTIlqEiomwK3btNkyY5vz9OkzY0nRQayvN+ve7LS3J6zknTnG+e832+z9M3nHNam7l1aQ5OLSsLu4taBSqxVh3PDtPG5ad/yWNLWqnvOZMeUos86BV49cJoOsUZGfhemi9QeeiccAlUTiEysyIalMujcst32Xyzy45egdkjormoffUNH0FbbDbik/ILUV1c1snKeW3LZ0ye+iWPbLuH0yMNrNindbK9s284rSPkz10IIYSor9wSD9cszKKkLFvh1j5hzN1RzC+HHH7bKdQcsDx/fhSxVj0/7y/h1c2Ffs853dq6l1cujKZdpIGhH6TicGv7ffb8KCbWYu2raDrk25toME63yk1Lsln8j903betdQ1KTKd9m8U+Ou87HbBWuZ2aFfNVtaU4+3F4EQDObjj250CnOyLU9pKeKEEIIUV8eVeXm77LZn+emdbie2RfGcKTQzYwVuX7b6RVq7I12VddQzmsbQnqRm1uWVl6E7w1UEm16Lvg0HZdHC1TeGBXNqDNqvgEqmhYJVkSDKHGpXLcoi+/3lmDSwxsjYxjernaBysMrc/lhb0mdj6kALw6PJsyspX+5PSr3/agtqu/f0sSaQ050Cjw7LEp6qgghhBDH4IV1+VpDRj28NTqGCLPC9YtyKK6wzsSkA6en+v10iDXywKBIPKrKbUuzfYvlvfQKvDoyGoteYcIXGb7qYh+Oi2HwabLu9FQkwYo4ZvZSD/9dkMXKAw4sevi/MbEMbWOp1c9+/Fshb/5aWPOGFXinl68720bflubyff1e5FtUvydHW/lyTXcbXRJMddq/EEIIIcp9v9fO8+u1xo9PnBdF53gT720rZPXB8vQvk77mhdBmvTZjYjEozN6Qz88H/NPHDDptjUpxqcr1i7JR0QKgeZfE0T3RHHinosmTBfbimBQ6PUz6OpOVBxxYjQrvj6t9oPLzfjt3/5Bb52OqQPsYA//rV764LqvYzVNli+o7xRpJLfLQKlzPXf3C67x/IYQQQmh255QyraxfyuQuoVzSMZQ9OaXMrJD+ZVC06l0lNWRzzzwnkvYxRjakOHhmbb7fcwadlpWxP8/Fbcu0LAmrQeH7SQkSqJziZGZF1FtuiYdJ8zPYklZKmEnhw3Gx9GpeuwvKnxlOJs3PqtdxjTpt4b7FUJ7a9ciqPHIdKm0jDaw/7ATg6fOisBolHhdCCCHqo9DpYeqCLAqcKr2am3h4cCRuj8rEeRm4KqxLGdjKyIoDpVXvCK3n2eQuoWTb3dywJNtvXYte0VLL1h1y8EZZtkW4WeGnKxNItMlX1VOd/AWIesksdnPZvEx2ZJYSadHxyfhYutYy3Sq10MWYuenUkNZaiTf9a3r/CDrFlR9rzcESvvyzGAVwlF39Jnaycs5ptZvhEUIIIYQ/75qSXdkuEkN1vDkqBpNe4eIv0kkpKB/Bh7c1sWyvs9p9JYbqeO78aFTgtmU5pBaWT8HoFHhvbAxf/1XMVzu1Cp4JoTp+ujJRmjgLQIIVUQ+HC1xMnJfJ7hwXcVYdn02I48xYY61+Nq/Ew4hP0rHXsZmKN1Dp19LsV9nL4VJ9HW87xRn5PaOUhFAdDw6KrNsBhBBCCOHz8oYCluzWiua8OTqGOKuOGxdn8UtKeWDSKkxXZaDiHbd1Crw+KoYoi45XNuZXKqjz/phIXv+1kDVl61+SogwsvyIek0ECFaGRYEXUyd5cFxO/yuBQgZvmYXo+mxBLu6jaBSp2l8qYuelkFNd1TkW74IWbFF4aHoW+QmWvVzcXsDvHRZRFx44MbQr6iXOj5G6MEEIIUU/Ldtt9a0oeGxpF90QTty7N4Ztddr/tUosCj+cWPb71K3f1DadXczPrDjl4co3/OpVXRkTy2JpCdmZpdzB7NTcx79+x6HQyhotyEqyIWvszs5TL52WQXuyhbaSBuRNiaRFeuz8hl0dl4lcZ7M6pT396zRPnRvkdb2+ui9kbtAtfiAFygDFnhHBBLUsmCyGEEMLfrqxSbi7rffKfrqFc3MHKtYuyWfKPf6Bi0uPrWl9RqFGhqKyccc9mJqb1CiOjyM31izP90r9v7R3KrNUFHClLCRuVFMKbo2OOy2sSJzcJVkStbDrsYPI3meQ5VDrEGvl0fCxxofpa/axH1XqwbDpSfU5rIDoFPCr8q4OVcWeWN4JSVZXpP+TgcGuNIQ/mu4kJ0fHY0Mg6H0MIIYQQWuGcqxZkUehU6dfCxD39I7jy60xWHazcoT5QoGLW4+u7EmZSeKss+Lh2URYZxeUr6oe2NvHu1mLyndpj/+0WyqNDoo7PixInPQlWRI1+3l/C1IXZ2F0qZzcz8cFFsUTWMs1KVVXu+SGX73bXvekjaIHKaRF6HhsS6ff45zuKWXPQgVkPKfnaFfPxcyOJsdYugBJCCCFEOZdH5frFWezLddEyTM+z50dx2fwMtqSWV/nyNn2sqkF9mElHpl2bP3lrVDTxoXoeWJHDhsPlNyub2RR+SXHiKAt2ZgwK5/qzpc2AqJokBYpqLd3n4j/fZmF3qQw5zcxnE2ofqAA8uzafj38vqvfx9QrMGVHepR60SmSPrNJ6qkSYdXiA0WeEMPoMaxV7EUIIIUR1Hl6Zx6qynmnPnR/FlG+y/AKVcHP13enPbmb0BSrXdrcx6LQQPtpeyLtby78DmHSQVqTicGuZE6+NjJJARdRIZlZElT7YXsj9PztQgbHJIbx0QTQmvVLjz3m9vaWAFzcU1OvYOsAD3NkvnB7N/Hu3PPRzLrklHmKtOtKLPUSH6Hhc0r+EEEKIevlweyHvbNX6mzw4MILbl+VwuEJ5YYMC+Y6qfhrOa2Phh31aBkVytIEHBkXw414795RV6/TyBjtGHcydEEufltJiQNRMghVRiaqqvLC+gOfWaYvXrzwrlMeGRvpV4arJ538U8uDPefU6vnedyoBWZqb1DPN77se9dub/ZUenQFZZVbEnJP1LCCGEqJdfDpbwQFk3+qu6hvLU2nxySvynUMLNCtklgZO/+rc0sT5FC1TMevhsQizrDzv5z7dZAdPFbCaFpZcn0CZSvoKK2pG/FOHH7VGZsSKX97dr07Y3dDVy3+AIdHUIVBb9Xcwdy3PrfQ4eFaJDdLx8QbRfgFTg8DC97C6NzaSQ71AZ317Sv4QQQoj62JNTyjULs3B5YEBLE5/9UYy9rDW9WQ8ONzSz6ThSGDj/q32MAY8KhWXZYq+PjGZnZilXfpPl16HeK9Gm48dJ0uxR1I38tQifEpfK9YuzeX97EQowa0gEN3UzoSi1D1R+3GvnhsXZVS6+CyTQH+GLw6NItPnPljy+Jo/DBW7CygKVxFAds4ZK9RAhhBCirnJKPEz+Jotch0rbCD3rDzt9gUqcVcHh1ip6VRWoxFl1jE0OYV1Zk8hLO1pxuKkyUOkcZ2T9fyVQEXUnfzEC0DrLXzE/g8X/2DHp4bWR0fynq63mH6xg9cES/rsg8EWqOt7LoHc5zLU9bJzX1r9XytpDDj4om+0pKCt1+Oz50XVa7C+EEEIIcLpVrl2Yxd5cFxFmhX15blxlg3HHWIOvzHChM/CAHmJQeOLcSJ5bp61LbRmmp1uCiRsWZwf8DjA6KYSlVyRgkGaPoh4kDUyQUuBi8teZ7MxyEWZSeGdMDP1bWVDV2kcdG1IcTP46k9K6N6cHtEDFrUL3RBP3Dojwe85e6uGu73MA7QJpd6lMOiuUoW1kYZ4QQghRF6qqcu+POfxyyIFRB3mO8rH+3DZmNpf1RNMDAVqpaFW8Loziru9z8aja+D0yycK9P+UGPN6tvcO4u39EwOeEqA0JVk5xf2aWMunrTFIL3SSE6vhwXCyd4kx12seWVCdXzM/01UyvD7cKEWaF10dWrjj29Np89uW6sBjA7lJpG2lg5jly4RNCCCHq6uWNBXz2RzGA3w3GizuEsDfXRZ5DRUfgQAXgmWFRfPx7sa9Mcf9WZt7cUrlFgQK8dEEU/+oQ2rAvQJxyJFg5ha0+WMLUBVkUOFXOiDbw8bhYWoTX7U9ie5qTiV9lUOyqW+6XQYGjf+TF4dG0POr4G1IcvPWrVk6xxKXdwZk9IhqrUaaShRBCiLqYv7OYp3/Jr/T4dT1sGBT44k87CuXp2Ue7s284TrfK8r1a9a/EUB2rDlSuaaxX4JtL4+ieaK70nBB1JcHKKeqLHUX87/scSj3Qp4WJd8bUrdkjwO/pTi6dl0Fhad0CFaOu/G6ON/3r2h42hrfzX6diL/Vw+/Ic1Ao/c3ufcLon1m3mRwghhDjVbUp1c8fynEqP3zsgnA4xBiZ/mw1U3Z3+is5Whrc1c+FnGYA2LqcWeVCO+hmDAuv+m0CzMGPDvgBxypJg5RSjqiovri/g2bIeKmPOCOHFC6KxGGpf8QtgR4aTS77KIN9Rt0BFp5QHKt4ApFdzE/cNqJzW9cQaLf3LpNMaSfVINHFz77BK2wkhhBCiaruySrnxh5JK60qfPDeS89paGPZRWrU/f35bC9P7RzDo/VQ8ZcN+qQcseiipkC+mV+D36xIJs8jXS9Fw5K/pFOJ0q9z9fQ5f/Knlqt7UM4x7BoSjq0NpYoA/Mpxc8lWm36K82vJe5LxBS6xVx+sjYzAetU5l7SEHb5d103V6tL4qs0dEY6hDvxchhBDiVJda6ObfX2ZS7Cp/zKiDVy6M5vzTQ7hobrpvPD96lgSgW4KRVy6M5uKvMvzG/Qgz5FXIAFOADVdLoCIanvxFnSJySjxcsyCTtSlO9Ao8NjSSK7vUrTQxaIHKpV9lkltS97JfFS+CHlULWF69MLpSP5UCh4fblmb7/czjQyOl260QQghRB/klbi78NI3sCmO2zQjvjo2lfysLdy3PZnu61tEx0FrStpEGPhkfx+Or89iWVup7PN6qI73Y/3vA15fEkWiTcVo0PPmrOgXsySll8jdaPXWbSeG1C6M596g+JrXhXaOSW1L3GZWK61R0aIv3pvcPZ0CryuWHZ/6cy6ECt289y4QzrVJNRAghhKiDAoeHwR+mkV5UHlTEhSh8ND6OzvEmPtxeyKdlVcEqjtFesSE6vro4jmV77Ly3vbzaV4JVIe2oQOXZYZH0bC6L6cXxIcFKE7f2kIOpC7PILfHQIkzP+xfF0iG27ovetqU5uWxeRr1Sv0L0YC/LafVeEEcmhXBTz8rrT777x87cHdrF061C63A9jw+NrPMxhRBCiFNVZrGLoR+mk20vDyrahit88q94WkcYWZ/i4N4fc4HAgUqoUeHbifEczCvl9mXli/LDTQppxf7fA67tbuOyznXP1BCitiRYacI+/b2Ie37MweXRck7fHRtLfKi+5h88yuYjTiZ9nenrHF8XlgCBSlKUgReGR6EctVYmo8jN/34ovygaynJqw8xSplgIIYSojb8ynVz0eYbfmH12MxMvnWOgVbiBf7JLufSrDFS0BfFHBypGnZbS5fao/PvLTF/6tlEH+Ud9DxjaxsLMwZHH9fUIIcFKE+T2qDy2Oo83yvqTjE0O4fnh0YTUseIXwOY0Nzf+kElRHcsTg3Zh81YJ8S6ot5kU3h4Tg83kH4Coqsody3PItpeXQbxvYAQ9msm0shBCCFEb3++1c83CLJwVKnRd2M7CyxdE4SjKJyW/lAs/SafUo60JdR81tOsU+PxfcViNCud9lOYXyBwd1JwRbeC9sTHH7bUI4SXBShOTV+LhpiVZ/LRfK9FxZ99wbu8TVmkWozZW7i/huuUlfmUJa0t31N0abxWwly+IJim6chrau9uK+HFfiS9QGdbWwrXdZVpZCCGEqImqqry2uZDHV+f5VfOa2t3Gg4Mi0Cmwt9DDJQszfFXBdErlYOXt0TFaoPJhWrVjf4xFYdHEeKnQKU4ICVaakN05pVz1bRa7c1xYDAovDI9ibLK1XvtautvO9YuycNZQ9CtQmUMoD06gfEH9XX3DuaBd5YX9f2aWMmtVLpTtq5lNHzBNTAghhBD+7C6tLcG8ncV+jz90TgTX9NDWhu7JKWXiQju5ZaWGvf3LKnpuWBSKAqM/S680i1JxrLfoYemkBEJNkqItTgwJVpqIn/aVcNOSLPIcKs1set4dG8NZ8fXr9P71zmJuWZpd6Y7L0fQB7sqAf/nDigvqb+1TeUF9iUtl2pIsHN50MbRyxtEhdV9bI4QQQpxKUvJdXL0wi9/Sy8sK64E3R0czIkm7Wfl3din/+iKd7LJAxazHN+Z6/a+vjewSD3d9n1PpBmTFwEYHfHNpPM2kRLE4geSv7SSnqiqvbCrgyTX5qEDPZib+b3QMcfVYSA/w/rZC7v8pN+BsSUWBqoeAf+Uv7wWxQ6yRF4dHBWw+OWtVLjuzyjtVPXBOBL1byDoVIYQQojrrUxxcuyiLzAplhC16+OriOLolauOo1hstg5yylgMmXeVAZVSShT15Hr76s7DSMWKtOr/9v3tRDJ3reSNUiPqSYOUkVuT0cOfyHBb8bQfgis6hPDokEnM9FtKrqsrLGwt4+pf8Grc16fFbvOcVYgB7WdxhLLsgxoToeGdMTMDp4sX/2Hl3W3nt9gvbyToVIYQQojqqqvLO1kIeWZWHq8JNQ5tJYdnl8ZwWqa0L3XjYweSvM8h3as/rlcqpX6dF6Dhc4GZLWonf4wpwVpyB7RnlNxOfGRbJsHr0aBPiWEmwcpLak1PK1IVZ/JXlwqCDWUPq15EewKOqPLoqjzd/rXxX5WgWPQEX3VUMVLyL6016eHtMDK0jKv+ZHcxzceeybN+/20ToeX54tKxTEUIIIapgL/Vw9w+5ldanRIfoWHFlAjFWLati5YES/vttlm9chspp22Y92EthS16p3+MKMKytieV7nb7H7uwbzuXSS0U0EglWTkLL9ti55btsCpwq8VYdb4yKqXfqVKlbKxl89IUvEKsBXxWRiiwVAhUoX1z/7LAoegXoaFvqVrlhSbavXrtZD2+OjiFc+qkIIYQQAe3LdXHNwix2ZPoHF4k2HT9PTsBm0gKVJf/YuXFJVsAMiIrcKqQXV87nvijZzNe7HL5/X97Zyh19w4/9BQhRTxKsnETcHpVn1uYze2MBAL2am3hjVAwJ9VyfUuT0cN2i8jLH1Qk1QlFp5ceNOiipEKh4K4bc3CuMf3UIDbivJ3/JY0tq+R2b58+PplOc5MAKIYQQgSzbY+fW77SbfDql/KZg63A9S69I8PUu++T3Iqb/kONXkbMqrgDrTke0s/D1rvKUsAvbWXj6vKiGeAlC1JsEKyeJzGI3Ny3JZvVBLbD4bzcbMwZFYNLXL20qq9jNlG8y2ZIWIAI5is0IhQE2O7rzrUGnXfzGJodwd//Ad2GW/GPn9c3l6WbXdLcx7sz6lVcWQgghmjJX2U3KOWU3KSsGKqdH6lkwMYFwsw5VVZmzsYAny9adVrW2tDo9Eo18t7s8UOnX0sSbo2MkPVs0OglWTgIbDzu4fnE2qYVuQgwKzw6LOqYv+HtzXUyan8G+PLevB0pVwk34FudVpMM//9V7YezV3MQLw6MDVv7am+vitgrrVPq1NPPAoIh6vw4hhBCiqUotdHPTkizWpZQPwt5AJSnKwPxL4oi06PCoKg/9nMfbW7UbgRFmhTxHLaZWKjgtXMeW1PK7kp1iDXwyPi7gWC7EiSbBShDzqCqvby7kyTV5uFVoF2XgrdExtI+p3AG+tn494mDKt1lk2z3ogepuvESaFXKruOBVDHC8JYrbRhp4Z0wMlgDVyOwulWsXZlFYtk6lhU3HGyOjpfutEEIIcZSVB0qYtiSbLLvHl7Xg1T7GwBf/iiM6RE+JS+W2pdm+qqCtwvUczK/blEqECQ4WeHwtC5Ki9HxzaXy9MzeEaGgSrASpbLub25fl8P1ebUp2fPsQnjwvypeXWh9L/rEz7btsSlxqwIaOFTvUxoQoZNlrvjNjKgtUokN0fDguNmAzR1VVufeHHN+iQIsB3rso1le1RAghhBBa2tfz6/J5eUMBKpUbOJ4ZY+Dzf8URY9WTV+Lh6gWZrE1xYlCgS4KJX1MDpEJUQ69oad7la2B0LLosgRCjFLwRwUOClSC0PsXBTUuyOVLoxqyHR4ZEckXn0Hrnjaqqyhu/FjJrVR4qgTvPV8yDTbAqpBUHDlQqBjRGnZb6FWJQ+PCiWNpGBv5zen97EV/8WV5tbM6IGDrKgnohhBDC53CBi2nfZbO+LO3L26/MO+52ijPy2QTtpuChfBeTv8nkrywXNpPC0DYWFuyy1+u43u8DiaEKSy5PPKabokIcDxKsBBG3R2X2xgKeW5ePR4XTowy8dmH0MXWLdXlUZqzI5YPtWvPFo9eagH/w0tym43Bh4FUsFde3eBfXG3Tw1ugYuiUGPsd1hxw8uCLX9++7+oZzYZI0lRJCCCG8lu62c8fyHHJLPBh12vha6ikfn8+KN/LJeC1Q+S3dyeSvM0kv9pAYquOi9lbeqKFPWsVUMu9YXnHsj7UqLLsikUiLBCoi+EiwEiQOF7i4ZWkOaw9p1b7+1cHKE0MjA3Z+r628Eg/XLc5i1YHy0sRHhyEGBVxlF6tWYToOFtQcqCiUX+CeGRbF0DaWgD9zuMDF1IVZvm0vSrZwW5+wer0WIYQQoqmxu1QeXZnL+2U3FK1GheJSbdD0Bi1nNzPx4UWxRFh0LN9j58Yl2RSXqnSINXJ5ZyszVuRVe4zoEIXssrRubzEcXYVAJSZE4fsrEiU1WwStoA1Wtm/fzuzZs9m6dSulpaUkJSUxZcoUxowZU6uf37RpE99//z0bNmwgJSWF4uJiWrRowXnnncd1111HeHjwNDha8o+du5Znk+tQsRoVHhsaySUdA/coqa29uS6mfJPJ7hyXX0BSUcU7LW0j9ezNDbwor2KKGJSngc0YFFHledpLPfzn2yxySrQD9Eg08vxwKYEohDj+TqXxQ5y8dmQ4mfZdNn9lac3KLAYoLlUJMSi4PCqlHq1q5vtjY7AaFd78tYBHVmrp3Oe0NjOlSyhXL8yu9hgtbTpSyxo/ehs7K5SP6dEhCt9PSiSunv3ahDgRFFVV61bf7gRYv349V199NUajkVGjRhEWFsayZcs4dOgQt99+O9dff32N+xgwYAA5OTmcffbZdOjQAUVR2LBhAzt27KB169Z89tlnxMTEnIBXU7Uip4eHV+bx8e/aHZWuCUbmjIjm9Kj6V/sCWHWghOsXZ5Nb4sFqhOIqeqR476qcHqlnTy0DFa9pvcK4d0DgssOqqnLdoiwW/aMVB2gepuO7yxLkrs0xUlWV3NxcIiMjJegLAvJ+BKdTZfwIdvL5qJpHVfm/LYU8sSYPpxusBoXisjuKLcP0pBa6calwbhsLb47SqmY+sCKXj37Tvitc0TmUf3WwMuGLjGqPE2nWmjmXegJX94wJ0VK/Em0yNp9o8vmom6ALVlwuFxdeeCGpqanMnTuXjh07AlBYWMjEiRPZu3cvixYtok2bNtXu580332TcuHHEx8f7HlNVlYcffphPP/2Uyy+/nJkzZx7Pl1KtLanaHZV9uS4U4Iazbfyvf/2bPIL2+t7ZWsjDK7VSx1U1czy6qVRtAxXvvyedFcqT51b9AXtubR7Pr9caWNmMsPCyBM6IPrYATMjFLdjI+xF8TpXx42Qgn4/ADhe4uGN5ji89u2IQ0beFyddTZWxyCC9dEE2h08MNi7WG0Aow45wIBrYwMvzTzGqPYyjLIHd5IM6qI6PYP8U73qqw9IpE4mVGpVHI56Nugm4l1bp16zhw4ACjR4/2DTQANpuNG2+8EZfLxbx582rcz7XXXus30AAoisKNN94IwMaNGxv2xGup1K3y3No8Lpqbzr5cF81seub+K5b7B0UeU6DicKn87/scHvxZC1RCDZUDFQX/6d+2EXUPVMa1D+HxoVV/uBbsKvYFKgYFPhwXJ4GKEOKEaOrjhzh5qarK/J3FDPsojVUHHBh1WtpXrkPFZlIYfUaIL1CZdFYoc0ZEsy/XxZjP0ll90IHVqPDO2BgGtzZXGaiEm/zHZZcHWoTpKwUqCaE6lk+SQEWcPIJuzcqGDRsAGDhwYKXnBgwY4LdNfRgM2kvW60/8h/Tv7FJu+S6b7elaFHFRcgiPnxt1zNU3UgpcXLcwiy1ppShoC+iKXP7b+FUCUaBZqI69eVUEKvgHKt6UsZFJ2p0efRWNHDcfcTDtu/L82VdHRtO7hfkYXpkQQtReUx4/xMkr2+7m3h9zWVjWuDEmREeW3UOpB7olGDk90sC8v7Tnbukdxt39wvl+bwnTvsum0KnSKlzPu2NjKSl1c95H6QGPMbKdhdUHtdRrnaKN920i9Ow7apxvGaZjyeUJAXuiCRGsgi5Y2bdvHwCnnXZapeciIiKIiopi//799d7/V199BZQPXFVpyOw4t0fl7a2FPPVLPg43RJgVHh8ayUXtrcd8rLWHHFy/WOtyazVAidu/gRRAiAHsZcGLRa9VG0mpojyxgn/FMG+gcm4bM3NGRKFXAp/v/jwXl83L9AVEMwaFMzIppEF/j6c67+9SfqfBQd6PcsGSxtAUx4+TlXw+NN/ttnPPD7lk2j3oFIgwa4EKwLU9bBzIK2XeX3YU4JEhEUzpEsoL6/N5bp2WodC3hYk3R0Wz+YiDqxbkVNq/XoG3RkXx7LpC8p3l2RPtow38le1/17JtOCy8LJ4Ii+6Uf18am3w+ytVm/Ai6YKWwUKsVHhYWuMStzWYjNTW1Xvv+888/eeWVV4iJiWHq1KnVbpuXl9cgf0T78z08sMbBlnTt4jSwhZ5H+puItzrJza1bp9mKVFXlvT9cvPirE7cK0RbILqm8nbf6B0CESVtol11S9euq+Iw3UOnbTMfTA/QUF+RRHOBn8hwq47+xU1RWbnFKRwOXnu4mNze33q9PVC0vr/oyleLEkvcDoqKiGvsUgKY3fjQFp+rnI8+h8sQGBwv3aHcPYyyQWwI5JR7iQxTu7W3i/R3FbM3wYNDBk4PMDGxWyn/mp/HjQe1nJrY3ML2XgY9+zeDpTZUzIWIsMH+MmUfW57MjU3teBTrH6Pg9yz9Q6RCl8P6FIaglBeQG+K4gGsep+vmoqDbjR9AFK8fLwYMHue6663C73Tz//PNER0dXu31EROBKV7Xl9qi8s7WIp9bmU+LSclIfHBTBZZ2sx3wXMt/h4c7lOSzZrQU7gRbPgdZZvrzCiI7UIo9v5qMmFQOVD8YnYDUGTlWzu1SuXphOelkN9/HtLcwaFh00d1qbElVVycvLIyIiQn6/QUDej1PHiR4/moJT+fOx+B879/+US0axNpsSb9XGX4CRSRZuOjuMaUuz2ZvrIcKs8H+jY4gO0XHFomx257gx6eGJoZFc2imUqQsz+W535UCle4LWzf71Xwv5vkIvtV7NTWw87H8jdEBLE++NjcFRlH9Kvh/B6FT+fNRH0AUrNpsNgIKCgoDPFxYWVnnXrCopKSlMmTKF7OxsZs+eTd++fWv8mWP549mVVcqdy3P4NVW7YAxsZea586NoGX7sv+4/Mpxctyibvbku9AqEGqkUqOgAvU4LJAA6xRnYkeGitvf5vOtbBrUy88I5eqxGXcDfh9ujcuXXmewsu4MzqLWZly6IQVfFmhbRMBRFkYtbEJH3I3g0hfGjqTmVPh8ZRW4eWFG+NiXeqiPP4SG1yIPNpPDI4EjaROi58tsssu0eWobp+XBcLDsySpn8TRZ2l0ozm563RsfQPlpPtzdTyLRXPs7IpBBmj4hm+R47L6wv/1sf3NrMzxUCF4CxyRbmjIhBp4CDU+v9qEhVVdxuNy6Xq+aNTwBVVXE6nTgcjib5fhiNxgZd2xd0wYq3pOT+/fvp3Lmz33N5eXnk5OTQvXv3Wu/v0KFDTJ48mfT0dF588UWGDh3akKdbyaoDJUz+JhOnG8JMCjMGRXB559Bj/mNUVZUPfyvioZ9zcbi1+uh5JSr5R2WSWfTauhVPWfzSM9HIptQA9YuroC9bmHdOazNvj4nBURh4itLbS8VbvaRbgpH3x8ZWufheCCGOt5N9/BAnJ1VV+XxHMY+szCXXoaJXtCpcB/K1GZG+LUy8ODyaDYcdTJyvfT/oEm/kzVExvP5rAe9t0/qnDGpt5pUR0WxJdXDGZ4EX0k86K5THh0ayJdXBTUvKC9pc2M7Mkt3+gcpV3UJ5dLBWvfNUTUv0lgjOyMjA7Q5cVKixeDwesrOrb+p5MouMjCQxMbFBgrGgC1Z69erFG2+8werVqxk1apTfc2vWrAGgd+/etdpXxYHmhRdeYNiwYQ1+vkdLKXDjdMN5bS08eW4kzcOO/Vec7/Aw/Yccvt2l3WJpE6lnX4CSwxXrtStoMyp1CVR0Zalf559u4fWRMZj12p2YQO79MYclu7XE1+RoA1/+Ow6zQQIVIUTjOdnHD3Hy2ZNTyr0/5rL6oDZatgjTk2t3cyDfjVkPd/eP4OpuobywvoCXNmizICOTQrijTxjXLsryVQe9tXcYN5xt44qvM9l8JPC4fUefMO7oG86eXBeXfJXpa+w8vr2F+X/5L0R5cFA4150dfpxe9ckjNTWV3NxcwsPDCQ8Px2AwBMVMhnemR6/XB8X5NCRVVSkuLiY9XQu4mzVrdsz7DLpgpV+/frRq1YqFCxcyefJkOnToAGjT96+++ioGg4Hx48f7ts/OziYnJ4eoqCi/PGLvQJOWlsYLL7zA+eeff0LOf2KnUIafbiHKEjh1qq42H9HunhzMd6NXINGmCxioRFQIVCx6iLUq/J5R/XSnQvmCem8FkZFJIbxyYTQmfdV3Yh5dlcuHv2lL7VuF61kwMZ6QKta0CCHEiXKyjx/i5OFwqby2uYCXN2hVPs16LVDx9i7rnmjixeFRJNr0XL84m+/Kbu5N6xlG53gD47/IoMCpEmXR8dIFUeTYPXR6/YgvAKlIr8CT50VxeedQUgvdXPhJuq/q57/PDOHLneW5YgrwxqhoRp1hPd6/gqDndrvJy8sjLi6O2NjYxj4dP005WAEICQkBID09nfj4+GNOCQu6YMVgMDBr1iymTp3K5ZdfzujRo7HZbCxbtoxDhw5x22230bZtW9/2H3/8MXPmzGHatGncfPPNvscnT55MSkoK3bp146+//uKvv/6qdKyK2zekhqhf7vaovLKpgGfX5uNWtSZOBQ4PKQX+61MMirY+Ja8sUEkIVShwwqGC6qd8K/ZdAS1o+VcHK8+fH4WhmlSuZ9fm8fpmreJOok3H0ssTsJkkUBFCNL6mMH6I4LfmYAn3/ZjLPznaDcGkKAMpBS725GqzKXf1i+DaHjZSCtxcNDednVkuTHqYNSSSbWmlXL9YK0Hcs5mJRwaHccOSXPZX0fcs1KjwxqgYhraxcLjAxbkfpvkqb05o7x+omHQw919x0t+sTGlpKaqqEhoa2tinckqyWrWAubS0tOkFKwB9+/blk08+4eWXX2bJkiWUlpaSlJTErbfeytixY2u1j5SUFAC2bt3K1q1bA24TrIPNwTwXty7LZn3ZepAOsQZ2ZlZeIB9ugnwnuMqucWfFGfgj0+XX0DEQkx6cbv8u9Vd3s/HQ4Ah01UT4r2zM9y3mi7Pq+P6KBCKOsaGlEEI0pFN9/BDHT3qRm0dX5TFvp5ZZEGXRERWi+IKWns1MPHd+FEnRRn7eX8KNS7LJLfEQb9XxwKAIXtlUwF9lBWluPNtGZrGbkZ9lVXm8xFAd718US+d4E7uzSxnxaTrFZYHK4NYmXyNJgGiLwrcTE2gbGZRf6xpVU5y5OBk05O9dUU/VVVdBSFVV5u0s5v6fcilwqlgNEBeqD3jHJTZER6a9fGqkW4KBrWmV074qpnoBWAwKJS7VV5oY4K5+4dzWO6zSH5Z3YVpkZCSvbCrgiTX5gNZ99+fJCURJB9wTquL7IRffxifvhxBVa0qfj1K3yrvbCnl+XT4FThUF6JJg5I/0Ulyq1mj5nv7h/KerDZ0CczYW8NQv+ahA1wQjw9pamLOxAIdbqxB2eWcrr20urNTAuaKz4o28OzaWZjY9mw47uOSrDN/2nWL1/JFZ/sPJ0Qa+ujiu2qyOpvR+1FZJSQl79+6lbdu2WCyWxj4dP009DQwa9vcvIXiQyCp2c+9PuSwqK3mYHGPgYJ6rUqCiV7T+Kd5AxaKHOKu+loEKlLhUjDqtOaROgceGRjK5i63ac3t5Qz5Pr9VmVKItCiskUBFCCHEKWH2whBk/5bKrrBt8uygD9lKVbWnaIvhhbS08PjSSFuEG8ko83LG8fH3KuPYhZBW7fd3o+7c0sjfXzYsbCqs95oXtLLw8IhqrUcfXO4u5ZWm27+ZivFXxC1RGtrMw58IYKXAjmjQJVoLAst12/vdDDpnFWifbjnFGtqdVrgYSaYZcBxSWTQO3tOnIKvFwsKDy7ZmjAxWTHkpc5SlgFj28OjKGC9qFVHtur21z8spW7VxiQ3SsnJJAhEUCFSGEEE3X/jwXs1blsfgf7QZipEVH2wg9W8rG5oRQHQ8NjmTMGSEoisLv6U6uXZTF/jytqeO/O1hZ/E8JuSUejMBpUXp+OVRzdc5beofxv37hKGhrRCv2UTHpIL24fGS/t38YN/UKb7J35kXN2rdvX+M2R6/Jq48PP/yQjz/+mEOHDhEfH8+ECRO47rrrMBqNx7Tf2pJgpRFl293M/Lk8/7VtpJ5CpxowUEkI1ZFWVJ721SlWW59SlYqBil7RAhSTTvtvpEXHe2Nj6NW8+kV4D6/M5a2yQCU+VMeqyQnYzBKoCCGEaJoKnR5mbyzgrV+1tC29Aj2amdiR4WRLmgcFuKqbjf/1CyfcrENVVT7+rZAZK7QeaM1tetpFGfjkd21cjw3RkWX38E9O9T0+LHp48YJoxiRbKS71cPuyHF9zSS9n2VcAnQLvj43m3LZS8etUN3fu3ICPu1wupk+fTlpaGoMHDz6mY7z22mu89NJLXHvttQwYMIDffvuNF198kbS0NB599NFj2ndtSbDSSBb/Y+e+H3PIKPagU6BXMxMbDzvxHLWdWQ+Kgi9QMSjQIlwfMFCpNJui0y5ublX7OacH2kYa+OCiGE6Pqj4avm1pNl/8qV1sm9t0rJicSKhU/RJCCNEEuTwqn/5exLPr8sks1sbbLvFG8h0eNh7Wit10TzDy2LlRdE0wAZV7oHWJN5JS4GJVWc8Vg4Lf2tKqtAzT8/aYGDrHm9if5+LqBVn8mRl4FsZmVFh6RQJtZCF9vRWs2ELOJ8tx7ktttHNQAVQVU9tmRF9+PmFDat+stqJu3boFfHzWrFkcOnSIRx55hC5dutT7PHNycnjttde45JJLuOOOOwDo06cPLpeLF198kSlTppCUlFTv/deW/LWfYKmFbmasyPVNLZ8eqcflgfWHnZW2TQzVkVphNiXBqpDnUAMuuDco4KoQqdhMCoXO8gaRLlXrovvW6JgaF+FdtSCL5Xu0nNu24Qo/Tk7AZJBARQghRNOiqio/7Cvh8dV5vkpdrcP1xIXq2XxEG5ejLDruGxjBxE5WX8XMLalOblycxYF8NwYFzogx+Bo8eittumpRvmjIaWZmj4gmOkTPygMl3LBYqyAWSHK0gUWXxWOVvmb1VrBiC3svebC8jGojs2/+i7yvV9H2i0cJG9ytQfb59ddf8+GHH/Lvf/+bSy+99Jj2tWrVKhwOBxMmTPB7fMKECbzwwgt8//33Eqw0JR5V5ZPfi3hsVR75Tq0aV/+WJn455KzUBEqvaMFGxUAlKUrHPzmBL2BH90wJMykUOFXfBVNFy599+ryoahfhOV0exn2ewbayC27XBCMfDDdg1MuFUQghRNOyNdXJrFW5rC1rExBpVuiSYGL9IQcH8t3oFJjcJZS7+kUQVVam3+1RmbOpgOfX5ePyQHSIDpdH5c8K2Q7elgA6qJQtUdHtfcK4vU84igIvbcjnmbIKYoFc0iGE54dHy/qUY5TzyfKgCVR8XG5yPl7WIMHKjh07mDlzJmeddRYzZ870e87tdlfZ7LsinU6HTqf9vf/9998AJCcn+20THx9PVFSU7/njTYKVE+DPzFLu/THHN5XcMdZAUanKqoOVZ1PirTrSiz2+Jo8heggxKgEDFW/alzdQUdAW0Bc4/St+PTAogmu726q9yOWVuBn+cTqHyhbrDznNzIcXxZCXl3dMr10IIYQIJv9kl/LUL/m+DAezHvq2NPN7upOVB7QUrv4tzTwyJJIOseUp0wfzXNyyNJsNZWN5nFVHRnHgsTnEAMVVLCsNNyu8MiKac9uGkFvi4bZl2b5shkCeGxbJxM7VV+0UIjs7m2nTpmG1Wpk9ezYmk8nv+fPPP9/XQ6o6FRfk5+bmYjKZfA0eK4qIiCA3N7dBzr0mEqwcR8WlHl5Yl8+bWwpxebRa7D2bmVh90FGpcaNegQizFqh4tQxTOFSgYj966gV8wYhXaNmF0eHWZlpKPRBuUnhtZAxD2lRf33pvTimjPkv3BUiXdbLy7PnRtYrAhRBCiJPBoXwXL6zP5/MdxXhULajo38pMaoGLn/drQUqbSAMzBkZwQTuL7wafqqp8vqOYmT9rPdBMenC7CRiotInUsy/XXWWg0iPRyBujYmgeZmBLqpMbFmdxMN8dcBbGrIdvL42nc7wp0K5EPURdfj65X68KrtkVg56oK4Yf0y7cbjd33HEHqampvPPOOzRr1qzSNq+99hpOZ+Wb5EeLj4/3+3cwzOZJsHIcqKrKgr/tPLIyjyOF2gdiQEsT/+S4fHdtKvLOpmSX5anqFYiyaIFKIBY9lFT4nEVZFHJKKqxP8cCZMQbeGl3zQvoV++z859ssX+BzZ98w7ugbUcdXLIQQQgSn1EI3L2/I55Pfi3xjXd8WJuwulTVli+EjzQq39tEaO5r05V/O0ovc3P1Djm/mw1tV82jtow0UOVzsy636S/BNPW38r18EBh288WsBj6/O025kBpiFaROhY/Fl0iqgoYUN6U7bLx4l5+NlwbPA/orhx5wC9swzz7B27VqmT59O3759A26TlJRU6zQwr8jISBwOB3a7nZAQ/1YXeXl5dO7c+ZjOu7YkWGlgmcVublyS7bsAtgzT0TzMwJpDlaNZgw5CjYrfbEpcCGTaIdNe+Q9KX7YGxRuo6IBQkxaoeDvSq2iNqJ4ZFlXjIrw3fi3g0ZV5qGX7ev78KC7uFFrPVy6EEEIEj7QiN69sLODj3wp942aPRBNmPb51KiY9/LebjZt7hRNpKR8zVVVl3s5iHvw5z2/Bu/Oo6Y92kQb6tzDw0R8lVa43iTQrvDE6hoGtLGQWu7ljeQ4/7NWCn0CBytgzLMy+MAaDrvHvaDdFYYO7Ndhi9vpqyA72Cxcu5N1332XkyJH897//rXK7+qSBedeq7Nq1i65du/q2ycjIICcnhzPOOOOYzr22JFhpYJ/8XsSagw7MehjaxszP+x0cKqi60pc39UoHhFsUMgIEKaAFNUWl5c+Fm6CwVFuf4l1gb9TBjEER/Ldb9etTSt0qN3+XzYK/y/N15/4rrsa+K0IIIUSwO1Lo5rVN/kFKl3gj0SE6Vh5w+FLA/tXByl19w2kV4f9V6HCBi3t+zPUFFIG0CtdzZz8bj60q4MM/qt5uQEsTr4/SqnD+uNfO7cvLGkCX3Xw8OlB5bEgk/+km61NE7ezcuZMHHniA5ORkHnvssWq3rU8a2KBBgzCbzcybN88vWJk/fz6KojBs2LD6n3wdSLDSwCadFUqh08PCv+18t7tyypfVqF2gKlb6irZAdgnkllQOVBTAqMcvUIm16nx14L1pX63D9bw2MoZuidXntqYXufn3l+nsLmtQFROiY9HEOFpFnJgupEIIIcTxcCDPxSubCvh8R5EvVatrgpE4q56f9pX4Km8OP93C9P4RnBnrP+55VJUPthfx5Jo8CpyBbxw2D9PxwrAIPv7Dzm1Lqy5AY9DBo4MjubJLKCUulRkrcnlnayEANqN2s7GiCBN8OD6Os5vJTUNRO3l5edx00004nU6mTp3Krl27Am4XHR1N69ata9Xt/miRkZHccMMNvPTSS0RGRvqaQs6ePZuLL774hJQtBglWGtzyPSW8sqmw0uMKEFMhyACtN4pRrwUqgdiMCoWlqu+ia9GDTlHILPb4pX2NTArh2WFRRFiqT/v65VAJ//kmk6Kyi2TXBCNzJ8QRZpbSxEIIIU5OOzNLeXVzAV/vLPYFJN0TjcSG6Fmxv4RSjzbondPazP/6hdMjQEDwZ2Ypdy3LYmt64JXxrcJ0PDsskiNFKpO/ycFRTU3iNhF6Ph0fS+tII5sOO7htWQ57c7X9GpTKgUr3BCPvjI0lPlTWp4ja27lzJ4cOHQLg7rvvrnK78ePH8+STT9b7ODfccAOhoaF8/PHHvP3228TFxXHttddy/fXX13ufdSXBSgN7f3tBpcdiQxQy7apfoBJhgjwnuAJcF3WA2aAFKl7xVoX0YhUoX59iMSg8PDiCKzqHVpv25VFVnlubz4sbys/t8k5WnjwvCr3kxAohhDjJqKrKxsNOXt1c4Ff2t1dzExFmHSsPlOB0a1FBv5Zm7uobTt+WlYOUQqeHZ9bm8n9bigMep02EnqeGRdEsVMeUb7PYW80CegW4qWcY0weE43TD46vzeG1zAR61bGG+p3KjyOt7hHLPgEiMehmLRd306dOHv/7664Qca/LkyUyePPmEHCsQCVYamKNCgGE1KHhU1W+xfEhZJa+8KtIGI8xal3p72RXNrNcCl/Ri1ddXxa1Cpzgjr14YTVJ09elbmcVupi7M8vV40Svw1HmRXCY124UQQpxk3B6VpXtKeG1TAb+mauOaAgxqbcagg5/3O3yzK/1amrmjTxj9W1Uu36+qKm9vKWDW6ny/NgBeZ0QbeOq8KLomGJm2OJsl1fRBAa3nymcTYjkz1sSGFAd3fp/DnhyX7/yOXphvNcDsETGMSAqpvDMhhB8JVhrYo0MjmbYkWwtIHOVBirdho72KmzJaSpji9zPeRfgOd/lsik6Bab20rremGu7E/LjXzg1Lsiksy72NDtHx2fhYOknNdiGEECeRQqeHz/4o4p2thezP0wZSsx7OaW2huNTj1xZgyGlmbukdTp8Wgdd/vLEpn6fX5VMSILOha7yBx8+NpluiiRfW5XHxlxkEaHXmo6B1uX9saCSFTpUHfsrhvW1FviqbHqhUJaxbgpHXR8ZUWtgvhAhMPikNbF+em7Ri/0uTty+Ko4pAJSZER5bdg6tsNiXEAAad4rcI363C6VEGXhoeFTDftqISl8rDK3P5YHuR77HezU28MzaWqBrWtQghhBDBYm+ui/e2FTL3jyLfovdIi8LAVhYO5btYXlaxSwEuTArhpp5hAQvNFDs9PLwql8/+KMYVYCalXwsjT5wbxRkxJhb9XcylX6VXWltytHirjo/Gx9Ix1siif+zMXJHrN24HWtZyc68w7uoXLmWJhagDCVYa2N9Z5Vc3s14LUEqqCFJsRoUSt0qWvfyS1tym43Chdi+m4mzKdT1s3NkvghBD9Re4bWlOrlukdcQF7QJ+V79wbukdhi4IupAKIYQQ1fGoKj/vd/DutkJ+3Fvev+T0SANnxRvZmuZkYVnpfaNOK0F8w9lhAdOiNx928OjqPF8q9NGGtDbxzPnRNA8zsPmwg57/d5gjhdWsnkcbV6/pbuPBcyLYn+dmyrdZ1ZY5Boiy6Pi/0TEB180IIaonwUoDG3Sahc93FJPrUKucSTHotEAlt0LKV5RFobhU5XChx29tSvsYA8+dH033GkoSO90qL67P4+UNhb4Le7RFxztjY6R/ihBCiKCXbXfz+Y5iPthenuoF0L+lmSiLwqoDJXyzS8vdijArXNnFxlVdbSTa/Ktolbg8vLS+gI9+LyLbHjjwGJMcwhNDI4kK0fN3lpOhH6SyKztwJbCK2kTo+XBcLM1sep5Zm89rmwsCdrSvaFhbC3NGREvlTSHqSYKVBrbukMMvCDlavFVHerHHt41Rp110vYvwvYGKRQ+39gnn+rPDalyb8usRB7cszfarUjL8dAvPD4+WtC8hhBBBS1VV1qU4+fi3Qhb9Y/d98Q83KfRvZabQ6eGXQ1ojR4A2kQau7mbj0o5WQk3+49uKfXaeW1fAllRnwG7yOuCyzlZmDo4k1Khjf56Ly+an8Vt6DfleaNW87h8YwX+7hbLg7xImzsskpaD6KMWkh2eGRfHvDqG1+E0IIaoiwUoD23Ik8FRzbIhCTolKenHllK9Mu4qurJutCgxubebxc6NoE1n921Po9PD0L3m8vbV8bYpZD0+eF8XFHazVljMWQgghGkt6kZsv/yzm0z+KfFWzADrGGmkXZeC3DCff7S5PrRrYyszU7jbOa2vxS2k+UuDiyV/y+e4fu1+5/4qMOri2h407+kZgMSjsy3Vx8ZIMtqXVHKSA1p9lzoho9ue5GPdFJpurGOcr6hxn5NMJsUSHSO8UIY6VBCsNLMHmf6cnzKRQ6vYvXxxv1VLADlfIi/Wo0DxMz0PnRDAyKaTaQENVVZbsLuG+H3PIqBD89Gpu4uULomktFUaEEEIEGadb5ce9JczdUcQPe8s7yluNCgNamvGosOZgCTsytSAi1KhwcUcr/+lq44wK61FKXB5e21TAZ38Uc6ia2Y0QA/yvbzhXddcyFP7OcjLtuxx+z6hdkJIYquPlEdE0s+m576dc3zqZo3kzIkBrD3DvgHBu6Bleq2MIIWom32obmPcuitUAep3iq14CWuCiqmpZc8dyZj1cf3YYN/cKI8RYfdrWnpxSZqzIZcX+8jKNZj08eE4kk7uEyiJ6IYQQQUNVVbanl/LVn8XM/6vYbw1Jl3gjrSMM/Jnp9FX1AugQa2Ryl1AmnGnFVpbq5fF4+PxPO+9sKWRHZmnANC+vKLPC/YMiuKRjKHqdwq9HHNz8XTb78mpYXFLGpIfb+4Qzob2VVzcX8NFvRQHLF3uDFO9T7aIMzP1XHM1sMpsiREOSYKWB/bdrKAv/tpNWVF5d3WLQGkRml/ivSwEY1z6EewdE0DK85pSvl9bn88avhX4XzYGtzDw9LIrTZDZFCCFEkNif5+Kz7U6W7EvnnwppXnFWHWc3M1Hg8LD+sJPtZetFQgwKF7UP4fLOofRINPmyC5b8Y+fNX7UGkIFKDlfUKkzHQ4MjuaCdlp3w9V+FzPw5n8ziGn6wgglnWpnWK4zPdxRxzgepAQvlKGiFcrzNJPUK3NlXq7op6ddCNDz5htvAHlmdXxaoaHmykRaFjGKVEpfqdxemd3MT9w+MoGcNlbpcHpW5fxTx1Jo8skrKo5RIi8KjQ6IY3776lDEhhBDiREgtdLPw72K++cvu6y4P2ux/nxZmTHrYdNh/LUr3BCOXdAplfHsrYWYdHo+HpXtK+L8thWw+4qix0hbAWfFGHh8aSY9mZlwebS3nW1sKsddc3MunZzMTd/YNZ/VBB6M+TcfuqjyVogChJih0lgcqnWINvDM2hpbhlcsmC3G8tW/fvsZtpk2bxs0331zvY7z33nts2rSJHTt2kJKSQu/evfnwww/rvb/6kGClgU05K5Rfj2gpWhnFKhnF/kFK+xgD9wyI4Py2lhrXpfywr4RHV+byT0751VoBJp0Vyt39w2XhnhBCiEaVVuRmyT92FuwqZn1KeRUunQJdY3XEhZnYmVXq12E+3qpj/JlWLu0USvsYIx6Ph6932flgexFbU52+QKA6CnBeWwuzhkTSKsJAaqGLK+dnsGK/I2Azxqq0jTRwS+8wdmaW8p9vM6ucSYm1ajceC8tiMG/69ZQuoXLDUDSauXPnBnzc5XIxffp00tLSGDx48DEd47PPPsNqtdK3b19++umnY9pXfUmw0sBSizxkHLUmRUUrt3hHnzDGtbeir6Fz7bpDDp5Yk8umI/6LALslGHn83Ci6JlTfc0UIIYQ4XlLyXSzZbWfxP3Y2pPiXCT4r3kgzm579eS62ZLggQ5tFCTEoXNDOwr87hDKotRmXR+X9bYXcvCSbnVmlAdeEBGI1KkzsaOXeAeFYTXoW/V3Mv75MJ6WgLiGKVtBmylmh7M518b/lOQSYSEGnQIswHQfz/cf1C0638OR5UcSHyg1D0bi6desW8PFZs2Zx6NAhHnnkEbp06XJMx1i8eDE6nbZ2bPTo0ce0r/qSYKWBFTo9vjLEAK3D9dzaJ5x/d7BiqCFI2XzEwbO/5LHyoH9ZxMRQHfcPimRc+xBZQC+EEOKEUlWVnVkulu62s3S33bfOxKtjrJFEm44jhW5+Sy/19S0xKDCotZnxZ1oZ0S6E3BIPr/9awL0/5nAo313tIvmjtQrXc3ufcC7uaCXPoXL3D9ks+rsEZ91iFOKtChe1D+Xv7FKe+CU/4DZGHbSO0LM7x83B/ArtBsL0PH1eFEPbWOp2UBFUVh4o4fM/ivwaj554KqoKp0UauLRTKOe0bri/qa+//poPP/yQf//731x66aXHvD9voNKYJFhpYAadgkfVqoLc0lubSakpSNl42MHz6/L9pslBK9t4Q88wru9hq7FKmBBCCNFQHC6V9SkOvt9bwvI9dg7k+6cjd4ozEhOiI6XAzY7MUnZkas/pFOjX0szY5BD6RZfwj93KJ38U88CKXPKraZgciF6BIaeZmd4/gg6xBj7/s5g+bx/xK/tfW4mhOga2MrMlrZS3thQG3MZmVGgTqWdHhovdFdKvzXq4o28413QPw2yQG4Yns5UHSrjy68waizWcKFvSSln4t52PxsUyqAEClh07djBz5kzOOussZs6c6fec2+1GVWv+DOp0uqAIUCqSYKWBTe4SysDWZtpEGKpN9/KuSXl1UwHrU/xnUow6+E9XGzf3CiPGKtPMQgghjr/DBS5W7Hfw4147Kw84KKrQZNGs1wKUEKOOPdmlfr1K9GUByugzQuiSYOSbv7QKXvflunGrJYEO5VOxOqZXnFXH1d1sXNnFRkp+KfevyGXzEacvY6EuWofraRNhYFOqky93Bu6T0iJMT0Kojl9TS/k9w39V/sUdrNzdP5zmYfJ1qSn4/I+ioAlUvFwemPtH0TEHK9nZ2UybNg2r1crs2bMxmfyXDJx//vmkpKTUuJ9jXZB/PMinr4EpikK7qKqrgjhcKl//VcybvxawM8v/oqhXYGKnUG7pHVZjKWMhhBDiWJS4VDYcdvDz/hJ+3u/gz0z/9K7YEB3togyUeuCvLCe/ppY/bzEonNPazLltzOQ5VH7cV8Kjq/L8ApxA9IoWnHgDj4rNFM9ra2FqdxunR+p5aGUeZ791mJJ6Zuq0jdSjqrAvz+03K1TxPDrGGfF4VP7IdJFyVHPJ/i3NzDwngs7xskZUBD+3280dd9xBamoq77zzDs2aNau0zWuvvYbT6Qzw0/7i4+OPxykeE/lGfIKkF7n56Lci3ttWQJbd/2Ju0MGlHUO5uVcYraRfihBCiOPAo6rsyChl1QEHqw6UsP6wk5IKK8sVICnaQJRFR2axmz25bjLt5V9u4qw6Bp9mIsKsZ3e2i42HHSzbU/3MCWid5B0u8EClhfTJ0QYmdwllyGlmZm8s5L8Lsih01mMKpUzLMD3phW725gaOcmJDdHSIM/BPVvnamoq6Jhi5p38Eg1qbpcpXE3RJp1AW/G0PqtkVgw4u7RR6TPt45plnWLt2LdOnT6dv374Bt0lKSqp1GliwkW/Gx5GqqqxPcfL+9kIW/W2vdJEOMShccVYo1/aw0UKmmIUQQjQgj6qyK8vF2kMO1hwsYW2Kk9wS/29pMSE6WoXrcXlgT04pf2f7z/ifFacnIdRArsPD3lw3X/5Zc3CiV8BmUsh3qKhQqd9JbIiOiztaGXKaibk77Dz1Sz4PrKh/gGIxaMcsKoVDBZWDFIOiVSmLDtGx5qCDVQcq313uGGvkjr7hjGhXfVsBcXI7p7WFj8bFMjeIFthP7BR6TClgCxcu5N1332XkyJH897//rXI7SQMTfrKK3Xy5s5hPfy+qdOEHiLXq+E9XG1O6hEqvFCGEEA3C5dFmTtanONhw2MnaQw5yjgpOrEaF0yL06BWFlAIXWXYPWfbybaIs0DzMSInLQ0aRh98y3PyWUfOXuiiLDrdHJd+p4lYh76jF9GEmhdFnhNAtwciif+y8u62Q1zYf2+s168HhhpIqmj+2idDTOc7IX1lOtqRVnkUBbSbltj7hNfY+E03HoNaWBlnMfixUVcXtdqPX64/p727nzp088MADJCcn89hjj1W7raSBCZ8V+0r4z7eZAZtadYw1MrW7jXHtrVJRRAghxDEpcHjYkuZk02EnGw87+DXVWSmFyqKHluEGjDqtgWN2icqfmeXf7o06baaj1AP5Dg85JZBTEviLfUWRZgWLUUdmkRuXSqWgCMBmhAvahWAz6fjlUAmf7yjm0z+O7TVXXJAfqIFjnFVHj0QTLo+Hnw842Vd29/zohfxDTjNzQ88wBrSUdC9xcsrLy+Omm27C6XQydepUdu3aFXC76OhoWrduXatu94H89ttvvhmZwsJCVFXlu+++A+Css86iRYsW9XsBdSDBSgNbl+LwC1SMOhh9RghTutro2cwkF0UhhBB15lFV/s52sSXVya9HnPya6mRnZmmlSlpWo0Izmx4FSC10UVgK/+SUByc6BUKNUOrRZiRKPXCkqOYE/iiLjjCzQq7dTb4Tch1qwGghNkRHnxYm0orc/JVZyldVVOCqr0DJYlEWhe6JJsJNOn7aX8LSCuto9Iq2TkZFm4kZ197K1d1tdIqThfPi5LZz504OHToEwN13313lduPHj+fJJ5+s93E+/vhj5s+f7/fYrbfeCsATTzzBhAkT6r3v2lLU2qy2EbU2948i7liewxnRBi7rHMq/z7SetOWHVVUlNzeXyMhICbKCgLwfwUXeD3G8qKrKgXw329OcbEtzsi2tlN/SnRQEWHgeHaIj0qxQ4lJJK/JUWhupU7Qv7C5P4C/6VUkM1RFq0pFb4q5UFOZo7SL1hJoUDhe4ybarnIi1y7FWHd0TTISZFFYddJBRXH5Uow6/m4bNw/RMOiuUSZ1DT9rx+FiditerkpIS9u7dS9u2bbFYgquRZ0OlgQWzhvz9y8xKA7uko5VhbS1Eh+ia7B+gEEKIhvdPdikP/ZzLllSnNnNxFLMeYqx6dEC23U2xC7LtHrIrTF4cne7kUamxP0mIQZuN0esgo8hNrkMltcgDVcy4WPQQH6qnwOkh36Gyu4rKWzUJ1GOlOqdF6OkUZ8SowMqDTpbvLZ9BMeq01+lWtUBFp8C5bSxMOiuUc9tYqu17JoQIbhKsNDBFUU7ZOzdCCCHq7/u9Jfy03wFoFayiQnQYdJBXolLsUnG44XCAalcV1fTlX69oMw02kzYbk5Lvxu5S2ZNbxSr1MhFmBZcH7KUqJW4C9i6pq5rO1azX1nqeHmUgs9jNuhSnXwUnk17bidNTPpOSFGXgko5WJnQIpZlNxmIhmgIJVoQQQogg0C7KgFkHDg+4VPxSm+pDr2jd2cPKAo3UQjd5DpWDtQg0zHptlsLbj+Lo6l7Hg4J2vmfGGAkzw5Y0F1vSSv0qeVmNCi63itMDzrKXkRCqY2yylXHtrXRNMEpWgxBNjAQrQgghRBD4ckcRjnrGJ6FGhUSbHqtBweFWSSvSApPazoB4F6J7Baq0dTzEWXUkRRmICdFxMN/Fbxkuv14purKeLYVOFY8KxaXaScZbdYw8I4SRSSH0bWGWNC8hmjAJVoQQQoggYK9FgGDUQYJNT4RJAUWhwOHhSKGbolKV3TnVp3JV5+iF+ceDghactI00EG5WSClwszPLRUaxf++HMJOCuyww8aiQXzar0y7KwPDTLVzQLoSzm5nQyQyKEKcECVaEEEKIIDD0NAs/lC0atxgU4q1aRS4FKHJ6SC1y43DDoXw3hxr3VGvFpINmYTqa2QzoFfg7u5T0Yg/pRwUnNpMWdHh7xHirnpn10K+lmaFtLAxtY6FdlPHEvgDRJEjR28bRkL93CVaEEEKIINAh1kDzMD2HC9yUuLwpXCcoH+sY6RWtF0uiTYdZr5Be5OJggcr+PA/788qDE52izZw43Sr2sokgb5CiU6BTnJFBrcwMam2hVwszIdJAWdST0aitXyoqKiIkJKSxT+eUU1xcDGjvw7GSYEUIIYQIAj8fcNRY7SsYGHUQYdYRZdGhU1SOFGqNIjPtHjLt/oturEYFnVIekHjU8sX6Rh10STDRq7mJfi3N9G5uJtysO+GvRzRNer2eiIgIMjIycDgchIeHYzAYgqIAQ1Pus6KqKsXFxaSnpxMZGYlef+xV+SRYEUIIIYLA9jRHY5+CH52i9WCxmRSMOshzeChwamWCjw5MFLTAxKOC3VWe/uFdEA/QzKane6KJHokmejQz0SXBJDMn4rhKTEwkJCSE9PR08vPzG/t0/Hg8HnS6phucR0ZGkpiY2CD7kmBFCCGECAK7suq/QP5Y6BUwG8CkU3B5VArLKgV7VCgqVSkq9c89t+i1HikVK4ap4Lddq3A9Z0RAt+ZWuiaa6BJvIj5U+p6IE0tRFCIjI4mIiMDtduNyNc5n7GiqqpKfn094eHiTm1kBLfWrIWZUvCRYEUIIIYKA9TiOyDpAr9NmQJxHlUfWKm9BcYU2jXpFm1kpDVBKuaRCkBJr1XFGlIEzYoycGWOkQ6yR9jFGws0Kubm5REY2zS9j4uSiKAoGgwGDITi+9qqqSklJCRaLRT4ftRAc71oA27dvZ/bs2WzdupXS0lKSkpKYMmUKY8aMqfU+PB4Pn3zyCXPnzmX//v1YrVb69OnD7bffTps2bY7fyQshhGg0J+v4kVpY/yaQCtV3hPcAngq7VwBF0WZPAnGr5eWMQwwKbSINtC37X7soA6dHaf+NDgl891QqMAkhGkpQBivr16/n6quvxmg0MmrUKMLCwli2bBl33XUXKSkpXH/99bXaz8yZM/n8889JSkpi0qRJZGVlsXjxYtasWcNnn31GUlLScX4lQgghTqSTefxoE2Xg94z6panUNTRQAW88YTUqNLfpaRGmp2W4gZbh2n9bh+s5LcJArFUnd3+FEI1GUYPs9ofL5eLCCy8kNTWVuXPn0rFjRwAKCwuZOHEie/fuZdGiRTXe2Vq3bh1TpkyhZ8+evPvuu5hMJgDWrl3LVVddRc+ePfnoo4+O98s5qamqWjaNHykDVRCQ9yO4yPsRfE728ePhn3N5c0thg+3PYlCIs+qItepJCNURH6onPlRPYqieRJv2v2Y2PRFmpcH/huXzEVzk/Qgu8n7UTdDNrKxbt44DBw4wYcIE30ADYLPZuPHGG7n99tuZN28ed9xxR7X7+eKLLwC47bbbfAMNQL9+/Rg4cCCrVq1i7969tG3b9vi8ECGEECfUyT5+xFirrgwUYlCIsOiINGv/jbLoiCz7b3SInpgQ7f/HlAUnMSE6Qo0NH4QIIcSJFnTByoYNGwAYOHBgpecGDBjgt0111q9fj9VqpUePHpWe8w42GzdulGBFCCGaiJN9/Li2RxhdErTgKNykI8ysEGHWEW7WYdJL0CGEODUFXbCyb98+AE477bRKz0VERBAVFcX+/fur3UdxcTEZGRkkJycHLJ3mTQHwHiuQIMuOaxTe34H8LoKDvB/BRd6PcsFy9/5kHz+MOhjUytyg+2ws8vkILvJ+BBd5P8rVZvwIumClsFDL1w0LCwv4vM1mIzU1tdp9FBQU+Latah8VjxVIsAy+jUlRFKKiohr7NEQZeT+Ci7wfwUfGj+Ahn4/gIu9HcJH3o26abutMIYQQQgghxEkt6IIV710r792toxUWFlZ518zL+3xVd768j1d150wIIcTJR8YPIYRoeoIuWPHmAwfKK87LyyMnJydgPnJFVquVuLg4Dh06hNvtrvS8N9dYGkMKIUTTIeOHEEI0PUEXrPTq1QuA1atXV3puzZo1APTu3bvG/fTu3Zvi4mJ+/fXXSs959+09lhBCiJOfjB9CCNH0BF2w0q9fP1q1asXChQv5888/fY8XFhby6quvYjAYGD9+vO/x7Oxsdu/eTXZ2tt9+LrnkEgBefPFFnE6n7/G1a9eyevVqevXqJWWLhRCiCZHxQwghmp6g62APWmOvqVOnYjQaGT16NDabjWXLlnHo0CFuu+02brjhBt+2s2fPZs6cOUybNo2bb77Zbz8PPPAAX3zxBUlJSQwePJisrCwWL16M2Wzms88+Iykp6US/tJNScXExy5cv58cff2Tnzp0cOXIEk8nEmWeeycSJExk9enRjn2KTtn37dmbPns3WrVspLS0lKSmJKVOmMGbMmMY+tVNOWloaS5YsYeXKlezZs4fMzEwiIiLo0aMHU6dOpWvXro19iqc8GT+Ci4wfjUvGj+Ah40f9BWWwAtoH7OWXX670ARs7dqzfdtUNNh6Ph48//pi5c+eyf/9+rFYrffr04fbbb5e7YnWwcuVKrrnmGiIjI313LrOysli+fDn5+flMmjSJGTNmNPZpNknr16/n6quvxmg0MmrUKMLCwnxfvG6//Xauv/76xj7FU8qzzz7LW2+9RevWrenVqxcxMTHs37+f77//HlVVee655xg5cmRjn+YpT8aP4CHjR+OR8SO4yPhRf0EbrIjgsXPnTv7++29GjBiB0Wj0PZ6Zmckll1xCSkoKX3zxBV26dGnEs2x6XC4XF154IampqcydO5eOHTsCWkrLxIkT2bt3L4sWLZKFvifQsmXLiI6OpmfPnn6Pb9q0if/85z+EhoayatUqTCZTI52hEMFFxo/GIeNH8JHxo/6Cbs2KCD5nnnkmY8aM8RtoAGJjY7n00ksB2LhxY2OcWpO2bt06Dhw4wOjRo30DDWglU2+88UZcLhfz5s1rxDM89QwfPrzSQAPQs2dP+vTpQ25uLn/99VcjnJkQwUnGj8Yh40fwkfGj/iRYEcfEYDAAoNfrG/lMmp4NGzYAMHDgwErPDRgwwG8b0fi8nwXvf4UQ1ZPx4/iR8ePkIuNH9SRYEfXmdrv5+uuvURSF/v37N/bpNDnefg6B+kJEREQQFRUVsJ+EOPEOHz7ML7/8QlxcHMnJyY19OkIEPRk/ji8ZP04eMn7UTIIVUW8vvfQSu3btYsKECfIBOw68nbKr6rhts9mq7NQtTpzS0lLuvvtunE4nd911l9wlFqIWZPw4vmT8ODnI+FE7Mt90CvHmRNbWBx98QJ8+fQI+N3fuXN544w06duzI/fff30BnKMTJxePxcN9997Fx40YuueQSxo0b19inJMRxIeOHEA1Lxo/ak2DlFDJ69GiKiopqvX1sbGzAx7/66itmzpxJcnIy77zzDqGhoQ11iqICm80GUOXdr8LCwirvmonjT1VVHnjgAb799lvGjh3Lww8/3NinJMRxI+PHyUXGj+Am40fdSLByCmmIWvZffvklM2bMICkpiffff5+oqKgGODMRiLek5P79++ncubPfc3l5eeTk5NC9e/dGODPh8Xi4//77mTdvHqNHj+bJJ59Ep5OsWtF0yfhxcpHxI3jJ+FF38tsRtfbll1/ywAMPcPrpp/P+++8THR3d2KfUpPXq1QuA1atXV3puzZo1APTu3fuEnpPwH2hGjhzJ008/LXnGQtRAxo8TS8aP4CTjR/1IsCJq5YsvvvAbaGJiYhr7lJo8b7fnhQsX8ueff/oeLyws5NVXX8VgMDB+/PhGPMNTT8WBZsSIETzzzDMy0AhRAxk/TjwZP4KPjB/1Jx3sRY3Wrl3LVVddhaqqXHrppcTFxVXapkOHDgwbNqwRzq5pW7duHVOnTsVoNDJ69GhsNhvLli3j0KFD3Hbbbdxwww2NfYqnlNmzZzNnzhysViuTJ08OWBN/2LBhdOjQoRHOTojgI+NH45HxI7jI+FF/smZF1OjIkSN4Y9q5c+cG3Gb8+PEy2BwHffv25ZNPPuHll19myZIllJaWkpSUxK233srYsWMb+/ROOSkpKQAUFxfz+uuvB9ymRYsWMtgIUUbGj8Yj40dwkfGj/mRmRQghhBBCCBGUZM2KEEIIIYQQIihJsCKEEEIIIYQIShKsCCGEEEIIIYKSBCtCCCGEEEKIoCTBihBCCCGEECIoSbAihBBCCCGECEoSrAghhBBCCCGCkgQrQgghhBBCiKAkwYoQQgghhBAiKEmwIoQQQgghhAhKEqyIk9b69etp3749s2fPbuxTCah9+/ZceeWVjX0ax6yhf8+zZs2iffv2zJkzJ+Dze/bsoUuXLgwZMoTCwsIGOaYQQni1b9++Tv9rLLNnz6Z9+/asX7++0c6hoVx55ZUN9rtMSUmhR48e9O/fn+zs7IDb3HvvvbRv35733nuvQY4pGpehsU9ACHFqufPOO1m1ahWvv/465557Lh07dvQ953a7mT59Ok6nk8cffxybzdaIZyqEaIqmTZtW6bE5c+YQFhbGlClTGuGMRF20aNGCe++9lwceeICHHnqIl19+2e/5n376iXnz5tGrVy8mT57cSGcpGpIEK0KIEyokJIQnn3ySyy+/nOnTp/PVV19hMpkAePPNN9m+fTuXXXYZ/fv3b+QzFUI0RTfffHOlx+bMmUN4eHjA50Twufjii1m2bBlLly5lwYIFjBkzBoCcnBxmzJiB1WrliSeeQKeTBKKmQN5FcVKaPXu2747JnDlz/KbsDx06BMA999xD+/btOXjwIO+99x6jRo2ic+fO3HPPPb79ZGVl8fjjj3P++efTuXNn+vTpw80338yuXbsqHXPdunXce++9XHDBBXTv3p3u3bszYcIE5s6d67edN20KYMOGDX7nNm/ePADmzZvn+/ePP/7IxRdfTNeuXRk0aBAvvvgiHo8HgG+//ZZx48b50qLefvvtgL8PVVX58ssvmThxIj169KBr165MmDCBL7/8MuDvzptasHjxYsaPH0+XLl0YOHAgs2bNoqSkpE6/5/ro3r07V111Fbt27fKll+3cuZNXXnmFVq1acffdd9d730II0RAOHTpE+/btueeee9i9ezfTpk2jT58+la5/33//PVOmTKFXr16cddZZjB49mrfffhu32+23v4KCAt58800mTZrEwIED6dy5MwMHDuTuu+/mwIEDftteeeWVvlTZyZMn+6675557rm+bc889l3PPPZeCggJmzpzJwIED6datG1dccQV//PEHABkZGUyfPp1+/frRtWtXrr76avbv3x/w9R48eJD777+fIUOG+M7tnnvuISUlpdK23jTn7Oxs7r33Xvr160eXLl245JJLKqWttW/fng0bNvj+v/d/Fcfi+pg1axYRERHMmjWL9PR0AB555BEyMjL43//+R6tWrY5p/yJ4yMyKOCn17t2b8ePHM3/+fHr37k3v3r19z4WHh/tt++ijj7Jt2zYGDx7MkCFDiI2NBeDAgQNceeWVpKWlMWDAAIYNG0ZWVhbLli1j9erVvPfee3Tt2tW3n7feeosDBw7QtWtXEhMTyc/PZ/Xq1Tz44IPs3bvXd+Ft0aIF06ZNY86cObRo0YLx48f79tGhQwe/c1u+fDlr1qxh2LBh9OjRgxUrVvDaa6+hqioRERG88sornHfeefTs2ZNly5bx9NNPExcXx9ixY337UFWVu+66i4ULF9KmTRtGjx6NyWRizZo13H///ezevZvp06dX+h1+/PHHrFq1inPPPZfevXuzatUqPvzwQ3Jycnjuuefq/Huuq9tuu42VK1fy9ttvc8455/DYY4/hdrt54oknsFqtx7RvIYRoKPv37+fSSy8lKSmJ8ePHk5eXh9FoBOD555/njTfeIDExkeHDh2Oz2di4cSNPP/0027Zt80tR2r17Ny+//DJ9+vTh/PPPJyQkhD179rBw4UJ+/vln5s2bR4sWLQB848aGDRsYP3687/GwsDC/c3M6nVx11VU4HA4uvPBCsrKyWLJkCVdddRWffvop11xzDbGxsYwdO5b9+/fz008/cd1117Fo0SL0er1vP9u2bePqq6/GbrczdOhQWrduTUpKCgsWLGDlypXMnTu30pf//Px8LrvsMkJDQxkzZozv2FdffTXz5s0jOTkZ0NLu5s+fT0pKil8K3tHjYV0lJCRw//33c/fddzNjxgwuuugiFi9eTP/+/bnsssuOad8iyKhCnKTWrVunJicnqy+//HLA56dPn64mJyer55xzjpqSklLp+UsvvVTt2LGjunr1ar/H9+zZo3bv3l0dPXq03+MHDhyotI/S0lL1qquuUjt06FDpGMnJyeqkSZMCnttXX32lJicnq506dVK3bdvme7ygoEDt16+f2rVrV3XAgAF+xzx8+LDaqVMndcyYMX77mjt3rpqcnKzed999amlpqe9xh8OhXnfddWpycrL622+/+R5/+eWX1eTkZPXss89Wd+/e7Xvcbrerw4cPV9u3b6+mpqb6Hq/p93wsfvvtN7Vjx45q586d1eTkZPXxxx9v8GMIIURNkpOT1aFDh/o9dvDgQTU5OVlNTk5WX3zxxUo/s3r1ajU5OVmdOnWqWlxc7Hvc4/GoDz74oJqcnKx+9913vsfz8/PVnJycSvtZu3ateuaZZ6r333+/3+Pea/W6desCnvPQoUPV5ORk9ZZbbvG79r/xxhtqcnKy2rNnT/Xxxx9XPR6P77mZM2eqycnJ6rJly3yPOZ1OdejQoWr37t3VP//80+8YGzduVDt06KBed911fo97fy8PPfSQ6na7fY9//vnnanJysjpjxgy/7SdNmqQmJycHfB3H6sYbb1STk5PVzp07qz169FAPHz58XI4jGo+kgYkm7+qrr6Z58+Z+j+3YsYMtW7Ywbtw4BgwY4Pdc27ZtueSSS9i1a5dfOligKWWDwcDEiRNxu931qtgyZswYunTp4vu3zWZjyJAh2O12Jk6c6HfMZs2acfbZZ/PPP//gcrl8j3/00UdYrVYefPBBDIbyyVKTycTtt98OwKJFiyode/LkyZx++um+f1ssFkaPHo2qqr4UguOtc+fOXHDBBTidTuLi4nznK4QQwSIuLo4bbrih0uMfffQRoKUehYSE+B5XFIW77roLRVH8rr1hYWFERkZW2k/fvn1JSkril19+qdf53X333X7Xfu/6DZfLxa233oqiKL7nRo8eDWhpt14rVqwgJSWFqVOncuaZZ/rtu2fPnpx33nn8/PPPlaozWq1W7rrrLr91IePHj8dgMPD777/X67XUxx133AFos0y33HILzZo1O2HHFieGpIGJJq9iMOC1detWADIzMwOW5N2zZ4/vv96p7MLCQt555x2+//57Dh48SHFxsd/PeHNm6yLQNHhcXFy1z7ndbrKyskhISMBut7Nr1y7i4+N58803K23vDWq8r6eiilW4vBITEwFtev9E+Pvvv1m+fDmgvRdbtmyhX79+J+TYQghRG+3bt/cVAalo27ZtWK3WgGsDQbsBdPS1d/369bz//vts376dnJwcvxtP3tSyuggPD/eliHl5x5A2bdpUSqn1PpeWluZ7zDse7tmzJ+B4mJGRgcfjYe/evZx11lm+x0877TRCQ0P9tjUYDMTExJywMQTgtdde8/3/77//nsmTJ/sFaOLkJ8GKaPJiYmIqPZaXlwdod5RWrFhR5c/a7XZAu2MzefJk/vjjDzp27MjYsWOJjIzEYDCQkpLC/PnzcTqddT63QKV5vXfIqnuutLQU0IIKVVVJS0ursm8JUCmwgsq5z4Avh9m7wP94crlcTJ8+ndLSUmbMmMGTTz7J/fffz4IFCyoNgEII0Vi86xyPlpeXh8vlqvW1d8mSJdx+++1YrVYGDhxIixYtCAkJQVEU35qOugp0Ha9uDPFe4ysGSd7xcMGCBdUeyzseVnds7/FPxBgC2rrPBQsW0K9fP6Kjo1m0aBGffPIJV1xxxQk5vjgxJFgRTV6gOyzei/iMGTOYNGlSjfv44Ycf+OOPP7j44ouZNWuW33OLFi1i/vz5DXOydeT9Ut+pUydfpbGTxeuvv84ff/zB5MmTmTRpEgUFBbz44os888wzPPTQQ419ekIIAQQeQ6B8HKltCvCcOXMwm83MmzePNm3a+D0XKFX3RPG+jtdff52hQ4c22nnUVXZ2NjNnziQ0NJTHH3+ckJAQ1q9fz7PPPss555wj1cCaEFmzIk5a3jtER5eHrA1vla8tW7bUavuDBw8C+JWN9Nq0aVPAn9HpdPU6t7qw2Wy0a9eOPXv2HLdp92P5PVdlx44dvP7667Rp04Y777wTgGuuuYZOnTrx2WefsXbt2gY7lhBCHA9dunQhNzeXffv21Wr7AwcO0K5du0qBSlpamm+Mqci7FuR4z1J4U6W96WDHg/e1NOQ48tBDD5GVlcW9995L8+bNiYqK4uGHH6a4uJj77rsPVVUb7FiicUmwIk5aERERgH/ubW116dKFrl27smjRIhYvXlzpeY/H46sLD/gW6G/evNlvuw0bNvDFF19UeX6pqal1Pre6uvLKK7Hb7TzwwAMB070OHjx4TD1Ravo9e3sRBArkAnE6nUyfPt1XpthisQBa6sBTTz2FwWDg/vvvp6ioqN7nLIQQx9uVV14JwH333UdOTk6l5zMyMti9e7fv382bN2f//v1kZmb6HnM4HDz00EN+aVle3sX4x3scGTZsGM2bN+fdd99l48aNlZ4vLS2t8qZcbXnHkapei7cvWm0zBBYsWMDSpUsZNGgQF198se/xYcOGMXr0aDZs2MDHH398TOcsgoekgYmT1umnn058fDyLFi3CYrGQmJiIoihcdtllVebSVvTcc88xZcoUbr/9dt5//306deqE2Wzm8OHDbN26lezsbH777TcAhg4dSosWLfi///s//v77b8444wz27t3LihUrGDZsGEuXLq20/759+7JkyRJuueUWOnTogF6vZ/Dgwb6GkQ1l4sSJbNu2jfnz5/Prr7/Sv39/4uPjycrKYs+ePWzbto3nnnuOli1b1mv/Nf2evXevKtbsr87LL7/Mrl27uPrqq+nRo4ffc2eccQY333wzzz//PE8//TQPP/xwvc5ZCCGOt3POOYcbb7yRV199leHDhzNo0CCaN29Obm4u+/fvZ/Pmzdx22220a9cO0IKbRx99lHHjxjFixAhcLhe//PILqqpy5pln+lXoAujTpw+KovDCCy+wZ88ewsLCsNlsXH755Q36OkwmEy+99BLXXHMNkyZNol+/fpxxxhkAHDlyhE2bNhEZGcl3331X72P07duXpUuXcuuttzJ48GDMZjPJyckMGTIEKJ89qs04kp6ezqxZswgPD+exxx6r9PyMGTNYv349zz33HIMHD5Z0sCZAghVx0tLr9cyZM4dnn32Wb775xncnfuTIkbUKVlq1asX8+fN59913+eGHH/jqq6/Q6XTEx8fTs2dPRowY4ds2NDSU999/n2eeeYaNGzeyYcMGkpKSePbZZ4mJiQkYrNx///2A1vl++fLleDweYmNjGzxYURSFJ598knPOOYcvvviCFStWUFxcTHR0NKeddpqve3F91fR79pZ3HjlyZI372rp1K++88w7t2rXj1ltvDbjN1KlTWb58OXPnzmXEiBFSHUwIEbRuvfVWevXqxQcffMDatWspKCggMjKSli1bMm3aNF8ZYYArrrgCg8HARx99xOeff054eDiDBw/mjjvu4Lbbbqu076SkJJ544gneeecd3nvvPZxOJy1atGjwYAW0bINvv/2W//u//2PlypVs3rwZk8lEQkICw4YNY9SoUce0/0suuYSUlBQWL17M66+/jsvlYvz48b5g5e+//yY0NNT37+rMmDGD3NxcnnrqKRISEio9HxkZycMPP8yNN97IfffdxwcffCDVwU5yiipJfUKIY/DUU0/x6aef8uOPPxIdHd3YpyOEEOIkUlhYSK9evbjqqqu4++67G/t0RBCSNStCiGOyadMmLr74YglUhBBC1NnmzZsxGAxcddVVjX0qIkjJzIoQQgghhBAiKMnMihBCCCGEECIoSbAihBBCCCGECEoSrAghhBBCCCGCkgQrQgghhBBCiKAkwYoQQgghhBAiKEmwIoQQQgghhAhKEqwIIYQQQgghgpIEK0IIIYQQQoigJMGKEEIIIYQQIihJsCKEEEIIIYQISv8PtL5KAXV8eq8AAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_posterior_samples = 20\n",
"_, axs = plt.subplots(1, 2, figsize=(8, 4))\n",
"plt.sca(axs[0])\n",
"\n",
"for z in [0, 1]:\n",
" ys = partially_stratified_predictions[z].sel(chain=0)[:n_posterior_samples].T\n",
" plt.plot(xs, ys, color=f\"C{z}\", label=f\"Z={z}\")\n",
"\n",
"plt.xlabel(\"treatment, X\")\n",
"plt.ylabel(\"p(Y)\")\n",
"plt.ylim([0, 1])\n",
"\n",
"plt.legend(legend_data, [\"Z=0\", \"Z=1\"])\n",
"plt.title(\"$logit(p_i) = \\\\alpha + \\\\beta_{Z[i]}X_i$\")\n",
"\n",
"plt.sca(axs[1])\n",
"for z in [0, 1]:\n",
" ys = fully_stratified_predictions[z].sel(chain=0)[:n_posterior_samples].T\n",
" plt.plot(xs, ys, color=f\"C{z}\", label=f\"Z={z}\")\n",
"\n",
"plt.xlabel(\"Treatment, X\")\n",
"plt.ylabel(\"p(Y)\")\n",
"plt.ylim([0, 1])\n",
"\n",
"plt.legend(legend_data, [\"Z=0\", \"Z=1\"])\n",
"\n",
"plt.title(\"$logit(p_i) = \\\\alpha_{Z[i]} + \\\\beta_{Z[i]}X_i$\");"
]
},
{
"cell_type": "markdown",
"id": "455c6c57",
"metadata": {},
"source": [
"Here we can see that with a fully stratified model, one in which we include a group-level intercept, the predicitions for Z=0 shift up even higher toward one, though the predictions remain mostly flat across all values of the treatment X"
]
},
{
"cell_type": "markdown",
"id": "55a40122",
"metadata": {},
"source": [
"### Compare Posteriors"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "0208e4af",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, axs = plt.subplots(1, 2, figsize=(10, 3))\n",
"\n",
"plt.sca(axs[0])\n",
"\n",
"for z in [0, 1]:\n",
" post = partially_stratified_inference.posterior.sel(chain=0)[\"beta\"][:, z]\n",
" az.plot_dist(post, color=f\"C{z}\", label=f\"Z={z}\")\n",
"plt.xlabel(\"beta_Z\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend()\n",
"plt.title(\"Partially Stratified Posterior\")\n",
"\n",
"\n",
"plt.sca(axs[1])\n",
"for z in [0, 1]:\n",
" post = fully_stratified_inference.posterior.sel(chain=0)[\"beta\"][:, z]\n",
" az.plot_dist(post, color=f\"C{z}\", label=f\"Z={z}\")\n",
"plt.xlabel(\"beta_Z\")\n",
"plt.ylabel(\"density\")\n",
"plt.legend()\n",
"plt.title(\"Fully Stratified Posterior\");"
]
},
{
"cell_type": "markdown",
"id": "bbebb5ea",
"metadata": {},
"source": [
"## Simpson's Paradox Summary\n",
"- No paradox, almost anything can produce SP\n",
"- Coefficient reversals have little interpretive value outside of causal framework\n",
"- **Don't focus on coefficients: push predictions through model to compare**\n",
"- Random note: you can't accept the NULL, you can only reject it.\n",
" - Just because a distribution overlaps 0 doesn't mean it's zero\n"
]
},
{
"cell_type": "markdown",
"id": "f15cb851",
"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": 53,
"id": "d414f055",
"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",
"matplotlib : 3.9.2\n",
"numpy : 1.26.4\n",
"statsmodels: 0.14.2\n",
"pandas : 2.2.2\n",
"xarray : 2024.7.0\n",
"pymc : 5.19.1\n",
"scipy : 1.14.1\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": "28a11db3",
"metadata": {},
"source": [
":::{include} ../page_footer.md\n",
":::"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
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