{
"cells": [
{
"cell_type": "markdown",
"id": "83b05792",
"metadata": {},
"source": [
"# Shifted Beta Geometric model with individual customer data"
]
},
{
"cell_type": "markdown",
"id": "3913b9b2",
"metadata": {},
"source": [
"In this notebook we replicate the main results and figures from \n",
"\n",
"Fader, P. S., & Hardie, B. G. (2007). How to project customer retention. Journal of Interactive Marketing, 21(1), 76-90. https://journals.sagepub.com/doi/pdf/10.1002/dir.20074\n",
"\n",
"The authors describe the Shifted Beta Geometric (sBG) model for customer behavior in a discrete contractual setting. It assumes that:\n",
" * At the end of each period, a customer has a probability `theta` of renewing the contract\n",
" and `1-theta` of cancelling\n",
" * The probability `theta` does not change over time for a given customer\n",
" * The probability `theta` varies across customers according to a Beta prior distribution\n",
" with hyperparameters `alpha` and `beta`."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "5a4844d3",
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import xarray as xr\n",
"\n",
"from pymc_marketing import clv\n",
"\n",
"# Plotting configuration\n",
"az.style.use(\"arviz-darkgrid\")\n",
"plt.rcParams[\"figure.figsize\"] = [12, 7]\n",
"plt.rcParams[\"figure.dpi\"] = 100\n",
"plt.rcParams[\"figure.facecolor\"] = \"white\"\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%config InlineBackend.figure_format = \"retina\""
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "256cdb7c-2b20-47bd-88f4-31151753abea",
"metadata": {},
"outputs": [],
"source": [
"seed = sum(map(ord, \"Individual sBG Model\"))\n",
"rng = np.random.default_rng(seed)"
]
},
{
"cell_type": "markdown",
"id": "928b7701",
"metadata": {},
"source": [
"## Recreating the dataset"
]
},
{
"cell_type": "markdown",
"id": "8b54f141",
"metadata": {},
"source": [
"The dataset contains the percentage of customers still enrolled in the service after each time period. There are two distinct groups of users: regular and high-end, believed to have different attrition rates. Each group had 1000 customers at the start.\n",
"\n",
"As in the original paper, we will fit the data from the first 7 time periods only, and use the following periods for validation."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "fa6b1dae",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" regular \n",
" highend \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 100.0 \n",
" 100.0 \n",
" \n",
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" 1 \n",
" 63.1 \n",
" 86.9 \n",
" \n",
" \n",
" 2 \n",
" 46.8 \n",
" 74.3 \n",
" \n",
" \n",
" 3 \n",
" 38.2 \n",
" 65.3 \n",
" \n",
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" 4 \n",
" 32.6 \n",
" 59.3 \n",
" \n",
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" 5 \n",
" 28.9 \n",
" 55.1 \n",
" \n",
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" 6 \n",
" 26.2 \n",
" 51.7 \n",
" \n",
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" 7 \n",
" 24.1 \n",
" 49.1 \n",
" \n",
" \n",
" 8 \n",
" 22.3 \n",
" 46.8 \n",
" \n",
" \n",
" 9 \n",
" 20.7 \n",
" 44.5 \n",
" \n",
" \n",
" 10 \n",
" 19.4 \n",
" 42.7 \n",
" \n",
" \n",
" 11 \n",
" 18.3 \n",
" 40.9 \n",
" \n",
" \n",
" 12 \n",
" 17.3 \n",
" 39.4 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" regular highend\n",
"0 100.0 100.0\n",
"1 63.1 86.9\n",
"2 46.8 74.3\n",
"3 38.2 65.3\n",
"4 32.6 59.3\n",
"5 28.9 55.1\n",
"6 26.2 51.7\n",
"7 24.1 49.1\n",
"8 22.3 46.8\n",
"9 20.7 44.5\n",
"10 19.4 42.7\n",
"11 18.3 40.9\n",
"12 17.3 39.4"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame(\n",
" {\n",
" \"regular\": [\n",
" 100.0,\n",
" 63.1,\n",
" 46.8,\n",
" 38.2,\n",
" 32.6,\n",
" 28.9,\n",
" 26.2,\n",
" 24.1,\n",
" 22.3,\n",
" 20.7,\n",
" 19.4,\n",
" 18.3,\n",
" 17.3,\n",
" ],\n",
" \"highend\": [\n",
" 100.0,\n",
" 86.9,\n",
" 74.3,\n",
" 65.3,\n",
" 59.3,\n",
" 55.1,\n",
" 51.7,\n",
" 49.1,\n",
" 46.8,\n",
" 44.5,\n",
" 42.7,\n",
" 40.9,\n",
" 39.4,\n",
" ],\n",
" }\n",
")\n",
"df"
]
},
{
"cell_type": "markdown",
"id": "4208bfb6",
"metadata": {},
"source": [
"The implemented pymc-marketing model fits each individual `theta`, \n",
"in contrast to the paper approach where the inidividual parameters are marginalized out.\n",
"\n",
"For our analysis we wil have to create a synthetic dataset with individual data, following the aggregate group trends."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9c8b6292",
"metadata": {},
"outputs": [],
"source": [
"def individual_data_from_percentage_alive(percentage_alive, initial_customers):\n",
" n_alive = np.asarray(percentage_alive / 100 * initial_customers, dtype=int)\n",
"\n",
" died_at = np.zeros((initial_customers,), dtype=int)\n",
" counter = 0\n",
" for t, diff in enumerate((n_alive[:-1] - n_alive[1:]), start=1):\n",
" died_at[counter : counter + diff] = t\n",
" counter += diff\n",
"\n",
" censoring_t = t + 1\n",
" died_at[counter:] = censoring_t\n",
"\n",
" return died_at"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "ac8a4ec2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
" 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2,\n",
" 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4,\n",
" 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,\n",
" 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"T = 8 # In the paper only the first 7 years are included in the model\n",
"\n",
"truncated_df = df[:T]\n",
"initial_customers = 1000 # Seems to be what F&H use, according to Appendix B\n",
"churn_highend = individual_data_from_percentage_alive(\n",
" truncated_df[\"highend\"], initial_customers\n",
")\n",
"churn_regular = individual_data_from_percentage_alive(\n",
" truncated_df[\"regular\"], initial_customers\n",
")\n",
"churn_regular[::10]"
]
},
{
"cell_type": "markdown",
"id": "df41d457",
"metadata": {},
"source": [
"Customers which haven't churned have `t_churn == T == 8`. \n",
"The model will handle these differently, as their lifetimes are [censored](https://en.wikipedia.org/wiki/Censoring_(statistics))."
]
},
{
"cell_type": "markdown",
"id": "64f004e9",
"metadata": {},
"source": [
"## Fitting the sBG models for high end and regular users"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "b4465019",
"metadata": {},
"outputs": [],
"source": [
"dataset_highend = pd.DataFrame(\n",
" {\n",
" \"customer_id\": np.arange(initial_customers),\n",
" \"t_churn\": churn_highend,\n",
" \"T\": T,\n",
" }\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "c6b57694",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Shifted-Beta-Geometric Model (Individual Customers)\n",
" alpha ~ HalfFlat()\n",
" beta ~ HalfFlat()\n",
" theta ~ Beta(alpha, beta)\n",
"churn_censored ~ Censored(Geometric(theta), -inf, )"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"highend_users = clv.ShiftedBetaGeoModelIndividual(data=dataset_highend)\n",
"highend_users.build_model()\n",
"highend_users"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "27a69d38",
"metadata": {},
"outputs": [],
"source": [
"dataset_regular = pd.DataFrame(\n",
" {\n",
" \"customer_id\": np.arange(initial_customers),\n",
" \"t_churn\": churn_regular,\n",
" \"T\": T,\n",
" }\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "658b7f32",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Shifted-Beta-Geometric Model (Individual Customers)\n",
" alpha ~ HalfFlat()\n",
" beta ~ HalfFlat()\n",
" theta ~ Beta(alpha, beta)\n",
"churn_censored ~ Censored(Geometric(theta), -inf, )"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regular_users = clv.ShiftedBetaGeoModelIndividual(data=dataset_regular)\n",
"regular_users.build_model()\n",
"regular_users"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "90456dbd",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [alpha, beta, theta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "cdcf0d0ce6b5439ebb29ecd8d1235a85",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
" \n"
],
"text/plain": []
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"output_type": "display_data"
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"data": {
"text/html": [
"\n",
" \n"
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"\n"
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"metadata": {},
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{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains for 1_000 tune and 1_000 draw iterations (2_000 + 2_000 draws total) took 65 seconds.\n",
"We recommend running at least 4 chains for robust computation of convergence diagnostics\n",
"The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n",
"The effective sample size per chain is smaller than 100 for some parameters. A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n",
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [alpha, beta, theta]\n"
]
},
{
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"application/vnd.jupyter.widget-view+json": {
"model_id": "4872779c779948a6960fe80cd12dba9b",
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"text/plain": [
"Output()"
]
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"metadata": {},
"output_type": "display_data"
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"data": {
"text/html": [
" \n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
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{
"data": {
"text/html": [
"\n",
" \n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains for 1_000 tune and 1_000 draw iterations (2_000 + 2_000 draws total) took 47 seconds.\n",
"We recommend running at least 4 chains for robust computation of convergence diagnostics\n",
"The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n",
"The effective sample size per chain is smaller than 100 for some parameters. A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n"
]
}
],
"source": [
"highend_users.fit(random_seed=rng)\n",
"regular_users.fit(random_seed=rng);"
]
},
{
"cell_type": "markdown",
"id": "312d0d57",
"metadata": {},
"source": [
"## Contrasting posterior inferences with the repo MLE estimates"
]
},
{
"cell_type": "markdown",
"id": "51acb3c4",
"metadata": {},
"source": [
"The sBG model has 2 population parameters of interest: `alpha` and `beta`. \n",
"These parameters define the population distribution of the individual customer's churn rates `theta`. \n",
"The larger the values of `alpha` and `beta` the more homogenous the churn rates are across different customers. \n",
"\n",
"The ratio of `alpha` to `beta` tells us the expected churn rates. If `alpha/beta == 0.1`, we expect the average customer to have a `0.1` probability of churning between each time period."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "cc8e73aa",
"metadata": {},
"outputs": [],
"source": [
"# MLE estimates from the paper\n",
"ref_val = {\n",
" \"highend\": [0.704, 3.806],\n",
" \"regular\": [0.688, 1.182],\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "bf0939d9",
"metadata": {
"scrolled": true
},
"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 \n",
" 0.758 \n",
" 0.142 \n",
" 0.508 \n",
" 1.035 \n",
" 0.038 \n",
" 0.027 \n",
" 14.0 \n",
" 83.0 \n",
" 1.12 \n",
" \n",
" \n",
" beta \n",
" 4.518 \n",
" 1.105 \n",
" 2.663 \n",
" 6.709 \n",
" 0.294 \n",
" 0.213 \n",
" 15.0 \n",
" 107.0 \n",
" 1.11 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"alpha 0.758 0.142 0.508 1.035 0.038 0.027 14.0 83.0 \n",
"beta 4.518 1.105 2.663 6.709 0.294 0.213 15.0 107.0 \n",
"\n",
" r_hat \n",
"alpha 1.12 \n",
"beta 1.11 "
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"highend_users.fit_summary(var_names=[\"alpha\", \"beta\"])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "3d8d4a64",
"metadata": {},
"outputs": [
{
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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 816,
"width": 2771
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(\n",
" highend_users.fit_result, var_names=[\"alpha\", \"beta\"], ref_val=ref_val[\"highend\"]\n",
");"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "da731d08",
"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 \n",
" 0.714 \n",
" 0.065 \n",
" 0.601 \n",
" 0.842 \n",
" 0.006 \n",
" 0.004 \n",
" 111.0 \n",
" 310.0 \n",
" 1.01 \n",
" \n",
" \n",
" beta \n",
" 1.210 \n",
" 0.155 \n",
" 0.965 \n",
" 1.544 \n",
" 0.015 \n",
" 0.010 \n",
" 110.0 \n",
" 235.0 \n",
" 1.01 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"alpha 0.714 0.065 0.601 0.842 0.006 0.004 111.0 310.0 \n",
"beta 1.210 0.155 0.965 1.544 0.015 0.010 110.0 235.0 \n",
"\n",
" r_hat \n",
"alpha 1.01 \n",
"beta 1.01 "
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regular_users.fit_summary(var_names=[\"alpha\", \"beta\"])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "94b7c6c2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 816,
"width": 2771
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(\n",
" regular_users.fit_result, var_names=[\"alpha\", \"beta\"], ref_val=ref_val[\"regular\"]\n",
");"
]
},
{
"cell_type": "markdown",
"id": "d25d118c",
"metadata": {},
"source": [
"The model fitting agrees with the Maximum Likelihood estimates described in the original paper.\n",
"In addition, MCMC sampling, gives us useful information about the uncertainty of the fits."
]
},
{
"cell_type": "markdown",
"id": "61849a13",
"metadata": {},
"source": [
"## Recreating main results and figures from the paper"
]
},
{
"cell_type": "markdown",
"id": "edfaee99",
"metadata": {},
"source": [
"Figure 6 from the paper shows the group distribution of `theta` churn rates. \n",
"\n",
"The inferred distributions are relatively wide in both groups, which follows directly from the fact that both `alpha` and `beta` were inferred to be < 10.\n",
"\n",
"It is still clear that the distribution of `theta` for the highend users has much more mass near lower values,\n",
"suggesting highend users have lower attrition rates on average, when compared with regular users."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "642abe8e",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [theta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "c20c5879b3584bda91c025c5bee6e7b6",
"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": {
"text/html": [
"\n",
" \n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [theta]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "144c858427a24c5daf88c570ee043790",
"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": {
"text/html": [
"\n",
" \n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"new_highend_theta = highend_users.distribution_new_customer_theta(\n",
" n=100, random_seed=rng\n",
")\n",
"new_regular_theta = regular_users.distribution_new_customer_theta(\n",
" n=100, random_seed=rng\n",
");"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "de01e40f",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 711,
"width": 1211
}
},
"output_type": "display_data"
}
],
"source": [
"ax = az.plot_dist(new_highend_theta, label=\"highend\")\n",
"ax = az.plot_dist(new_regular_theta, label=\"regular\", ax=ax, color=\"C1\")\n",
"ax.set_xlabel(\"theta\")\n",
"plt.ylim([0, 4])\n",
"ax.set_title(\"Figure 6\");"
]
},
{
"cell_type": "markdown",
"id": "0434200c",
"metadata": {},
"source": [
"Figures 4 and 5 show the predicted average churn and retention trends for the two groups.\n",
"We can see that predictions nicely match the observed data (black line), even when extrapolating into the time periods that were held-out when fitting the model.\n",
"\n",
"The plots also highlight an interesting implication from the model: \n",
"the retention rates are expected to increase over time, as the more precarious customers gradually drop out. This is a direct consequence of modelling individual churn rates as being fixed over time."
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "d1df4e07",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [churn]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "de8acd08dfa244beae1e99f71ac25115",
"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": {
"text/html": [
"\n",
" \n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [churn]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "3bd27bfbaa0647a6a04e496b11dbf4e2",
"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": {
"text/html": [
"\n",
" \n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"churn_highend = highend_users.distribution_customer_churn_time(\n",
" customer_id=np.arange(initial_customers),\n",
" random_seed=rng,\n",
")\n",
"churn_regular = regular_users.distribution_customer_churn_time(\n",
" customer_id=np.arange(initial_customers),\n",
" random_seed=rng,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "5ec83e3c",
"metadata": {},
"outputs": [],
"source": [
"weeks = xr.DataArray(np.arange(1, 14), dims=[\"weeks\"])\n",
"\n",
"survival_perc_highend = 100 - 100 * (churn_highend < weeks)\n",
"survival_perc_regular = 100 - 100 * (churn_regular < weeks)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "10031f3e",
"metadata": {},
"outputs": [
{
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",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 711,
"width": 1211
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_hdi(\n",
" weeks,\n",
" survival_perc_highend.mean(\"customer_id\"),\n",
" hdi_prob=0.95,\n",
" color=\"C0\",\n",
" fill_kwargs={\"label\": \"high end\"},\n",
")\n",
"az.plot_hdi(\n",
" weeks,\n",
" survival_perc_regular.mean(\"customer_id\"),\n",
" hdi_prob=0.95,\n",
" color=\"C1\",\n",
" fill_kwargs={\"label\": \"regular\"},\n",
")\n",
"\n",
"plt.plot(weeks, df[\"highend\"], color=\"k\", label=\"observed\")\n",
"plt.plot(weeks, df[\"regular\"], color=\"k\")\n",
"\n",
"plt.axvline(7, ls=\":\", color=\"k\")\n",
"plt.ylim([0, 105])\n",
"plt.ylabel(\"% Surviving\")\n",
"plt.legend()\n",
"plt.title(\"Figure 4\");"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "c95e138a",
"metadata": {},
"outputs": [],
"source": [
"retention_rate_highend = survival_perc_highend.isel(\n",
" weeks=slice(1, None, None)\n",
") / survival_perc_highend.isel(weeks=slice(None, -1, None))\n",
"retention_rate_regular = survival_perc_regular.isel(\n",
" weeks=slice(1, None, None)\n",
") / survival_perc_regular.isel(weeks=slice(None, -1, None))\n",
"\n",
"retention_rate_highend_obs = df[\"highend\"][1:].values / df[\"highend\"][:-1].values\n",
"retention_rate_regular_obs = df[\"regular\"][1:].values / df[\"regular\"][:-1].values"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "ba4327f6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hl9NXtloq/JxED2O1gGt+/hrqtflt+ZxKKQwNncTo6FkcGZ3A6NhZjI2eRb4wjH/+T/987L5/8dP/EKXS6LYcx0MRgYVmGG31Aq5qZApXDQac2GOCVYj94VbvsoLXe4hS8CKTtfS0Lf+yvyaR07aIiIiIiIiIHhzjLiIiIiIiIiKifcBxeqsTY/GWf77blch94+sSoxFXtxufvhUEW/kcMDjox1z+h2VxiA7tjP6Aqxdx7UTANTqmI66x0bM4MnoWR448CsvK9j2mtk3HsmkisNAKJ21lw4lbvclbOtzq1ZpKPL0SMQy1+gMuQ7qJNYlGLNLqoATXiEdbLqdtEREREREREW0rxl1ERERERERERHuAiKDRSERbkYir0egFF57nr03s9MdbnU58+pZp9iZtDRV68VY2q9cqJqdvEW2XXsB1rW8K17YGXMOnMHpkYsMB115gSsePtKp+uKWnbWXDqVvxiVtKvL61iPGAqwNTHCASbvXWJGbQVXm0MBhZk6ijLQ8sPImIiIiIiIh2G+MuIiIiIiIiIqId0m5LLNgKJ3D5qxRdtxdedLvp4Va7rW8LKNWbtFUsAMPDkelbWcDiJjTaQc1mBQuJyVs7HXCNjp7F6OgERkcfw8iR03sv4BKvN20LNT/Yip+a0oncP1iV2IYpXVhobyDcssI1iV1VQAtDcIxMJNzimkQiIiIiIiKi/YJxFxERERERERHRFnEc0cFWLX11YqfTiy9cd/XJW52Ons4VsKze9K1i0Y+3svrU5kY02mHRgGtu/hoW5qcxP3cN8wvT2x9wheHW3g249NSt3sStrNSQlUok4KojGmIZ4vjhVieyMrEXciVXJcYnbjHcIiIiIiIiIjroGHcREREREREREW2Q5wlqdR1uBfFWdPpWdHWiyNrxltPbqAbD8FclZoCBgd75YCKXyU6DdlizWcH8/FUszE/vYMBlYGj45N4OuET6rjrV/SOMdQw/3KrCknbs/iY6sMJgqxOZvNWGJV0o9PaoijLgwoaLLByVRRsDcCPhloMMBCaLTiIiIiIiogPMcV04rouu66LjOHBcFx1HX9dx9WWnsYyys4jTxS72wE/LtM0YdxERERERERER+TxP0Gz2Jm8lA656Q98n0O32wq0w4op8RAWhVi4HDJZ7k7cyGT2Zi60G7bRVA675a6jXF7blc8YDLj/eGjuL0SNn90bAJQILLWSliqxU/FP/vFdFs3237yHHncsY7Zp+xNUO1yWmTd1ylR2GWi0MheGW40/c8sBRfERERERERDvB9Tx0HQddP6LqOi66ruOfJs4H94veFlzfd50bf17/fkGg1XUTsZZ/WzTk8lJ+sWg15fwb+P/94/dhYhv/WdHuY9xFRERERERERIdGWrwVXaNYrwOu23sBzXH8aGuVeCv6Wptl9WKtYjE+fcu29XQuop2WDLjm5/yIa5sDruHhUzgSnb61hwIuU9p+uKXjrVxw3tMhl4FueF9DXH/iVhsWOlhxl/ueb8x5F0fcLEQpHW4lpm45yHJdIhERERERHUqe56VOn+q6TmrcFIRQ+jYHnWCCleP0Ta6KhlfR+8VCrcT9op9jMwHVXlZpNvHl3/ttvPjyD+72odA2YtxFRERERERERAeG6wrqDaAeibbq9d75RmOVeCsRbQUfntd7btPsTd8aLPfOZ7M63uLqRNotzeYK5v1wa35hencDrtGzGBnZ3YBLietP21qJx1v+R3RtohI3XJNohRFXOzJ5q7c/VZSBdsqL//PW4+hYQ3CR4dQtIiIiIiLacUFAtfaEqbWmScWDqOiEqeB5nESg1Td9yr9vMtZyoy+s0LY5Mjyy24dA24xxFxERERERERHtG92uoFbvxVu1eu+07n+IxNcmdjpAp7vBeMvWwdZAyY+3sr2Iy2K8RbsoLeCa91cpbnfANTp6FkdGJzA2djaMuXY14ApXJ1Z0uOWt+AGXPs1IHQhWIYrEoi1LOjDRiqxP7E3pEmXAQQauyqKjimiqYX/qVhaOvzJx2WoA+M+xw+mqEly1y+skiYiIiIhoWwUBVfqEKX+alJO4zXX965y++683VWqj06cYUB0+tmnCMk1kTANFW+GjTzyFz//gj+z2YdE2Y9xFRERERERERHuCiKDV0oFWdOJW9HKrJZH7R+KtVQKu6JCdaLxVKvVWJgYfpsmhO7S7YgHX/DXM+9O3di/gehSWldmWz7su8ZCRGnJSQU5WkJMVP+ZaQdarwEQnvKshXT/cikZcLT/e6kD5oVd0bWJXFdBUQ+EKRRdZuLDX/SJQzufx2z/3t/quIyIiIiKined6HmqtFlbqDaw0G1ipN1BpNLHSbKDT7famT/lxVGxKVWxy1drTpzqOw4DqkLFME3bwYVn+aRBVWfrU0rfp6/zbLCv1fpb/PNH7rXZdxjJhJx4b3t80ofyfW43WEgbbV1AdegG2xfTnoOO/YSIiIiIiIiLaEcHKxFrNn7zlT9oKp2/V4isTPa8/3Or6KxS7Xf0RjbcsS0dath1fm2hz8hbtIc3mCubnrobh1m4FXMH53Qy4gvWJOtxa6UVc/iQuBf/NE3/6lp62pU+tYPqWtGHADZ/TVTZcZOCoHNoowTWycMKAKwMo46GO2TAMDBWLD/UcRERERETUz3FdVJtNrDSaWGk0UGk0sBL5qDSaWI5cX2k0UWk2Y9O7aX8xDSMWLSVDKtuMno/c1nc//75990u7LuWxidssw4BhPNzPjkRbjXEXERERERERET00EUG7jd7KxEi4FVxuNuMrEx1n9alb3a6+PaAUYFu9YKsUrE20e0GXyXiL9ojVAq75uWtoNBa35XNGA67RsbMY9adv7aWAKyfLYbyVl2VkpBpO1VLi+esTW2HIZfnnTWn3Td9yVBZtVYJjHAmnbznIQhRf7iQiIiIi2m2O64YBVjzQaviBVjN2eaXeQK3V2u3DPpBMw+it8QunRaVMlTKt1ClRQWQVvV8QRUWnTwVxVPRzhIFV8DkTIRcDKqKN46sdRERERERERLQuxxE0GmvHW44Tn7oVrkyMTN2KRlzRX641jF6sVSz407bsyPSt9belEe2oXsB1LR5xbXfANXIao0cm9lTAFaxQzMtyGHDlvOVwlWI84GpFJm/1zpvSBfz7ecqAixwclUUTQ3CMLBz/8lZM3yIiIiIioo3rOI4/LSt9opZeidj0VyLq6+rt9m4f9o4ylNrUVKmNrPGL388Krws+x0bX+JkMqIgOBMZdRERERERERIeciKDViq9IDMMt/3KzGV9zEKxFXC3eik7dAnSclbF1tBWsTIwGXKbJeIv2nkZjGQvz13Y54PIjrrGzGB4+vYsBl8BCUwdcXjCFaxl5bxlZWQlXIwYTuPTUrbUCLjMMttoY1QGXysFBFh5YcxIRERERbYd2txubqBWuOaw3sNLUpxU/1ArirWans9uHvSH5TAblfB6DxQLK+QLyGXuN4Gq1tXwpa/w2sB6QARURbTfGXUREREREREQHXLcrqNf7g63oZdeNT90KViPG4q01pm7ZfqSVz+l4y06sTOTrnLRXpQZcc/r8tgdco73pW3si4AKgxEFOVpCXJeQ8/1SWkZclmOK/qSMSCbj80zDm6mD1gCvnr0/MwYPFgIuIiIiI6AGJCFrdbnzNYSzQ8oOtxLStVre724e+IYVsFuV8HkPFAgYLBZQL+nSwkE9cLvgxVx5Z297twyYi2jaMu4iIiIiIiIj2Mc/rrUts1NPXJbbb/VO3gkir242vSux2OXWLDp5owDU3dw0LC9OHOuCCCGw0kPN0tKVDrmXkZRlZqSKIswxxYKEJS1qwE5O4FDz9VMqAAz11q4kRdI2cP4HrYAZcXcfBOzduxq774OlTsC2+zEpERERED0ZE0Ox0wklZlUYTy9FAKwi2/FAr+Ogkf3jfo0q5nB9k5XtBVurlXqiV4ffXREQx/KpIREREREREtEeJCNrtlHCrBtQb+nyjoQOvgOv2pm11UwKubrd/6lYmoz+Khd4EriDe4tQt2i8ajWXMz1/Dwi4FXGOjZ3FkNFilOLH7ARcAiIecVJDzA658GHMtJqZwJeOtFmw0YUjvzSJH6YCrrcqoGblwIpeL7IELuNZSb7fxM1/89dh1v/1zfwtDfPOJiIiIiKB/jq+326tO1IpO0YpO1eq67m4f+oYM5POrTNBafaKWZZq7fdhERPseX3UgIiIiIiIi2iVp6xKD80HM5Ti9EkskEml1+s93uzruCigVn7pVLPYuBwGXaRyqLoP2udUDrmtoNJa25XMahonh4dM4MjqxNwMu6FWKeX91Yt5bRE6WUfBPgwlbhriRKVxNP+Rq+lO44msUuyqHlirDQd6fwpWFKL4hQ0RERESHi+d5qLfb8SlajSZWGvW+KVrRy67n7fahr0sphXI+v6GJWoP+asRSLsdQi4holzDuIiIiIiIiItoG0XWJ9US4td66xNikrUjEldy4YFl+pGUDA6X4qkTbn7rFcIv2myDgmp+7ivn5aT/mmt6lgOsshodP7YmACwAM6YQBl465FpH3lpCTCoJViqZ0wslb0ZArnNSF6BSuQX8KVx5dlYMHftEgIiIiooPJ9TzUWq2UNYf12ASt5EQtT2T9J99lpmGsPlGrWMBg3p+iVchjyL+tlMvB5JhuIqJ9g3EXERERERER0SaJCFotfzViLT3gajT0/QJ96xK7ielbq6xLtG0gnwMGy/FViZkM1yXS/tVoLOlwaxcCrtGxsxg9ouOtI6MTey7gAnSgFYRb0dOsVPUdRGCiA1uafRFXsEpRlBFO4WpjDF0j50/hynEKFxERERHta47rotZq6YlakelZ0Qlay5FYq9JootJsxn5G36tMw1h9ilaxgHK+gKFi/PpiNguDLxAQER1ojLuIiIiIiIiIErpdCSds1Rt+sFXz462GPu+6vReFPa83bavbSYm4VlmXGERaxULvfBBwmSYH6ND+1qgvYS4xgSuIuHYj4BoZOQ3TtLfl8z6oYBJXwVtEXhaQ95ZQkEVkpKbvIAILbVh+xGWLXqVoSwsK+ouKp4xw8lZTDaGLPByVh4Msv4gQERER0Z7nuC4qzaa/8jAaaQWBVrPvcrXZ3O3D3hDbNONTtAr5MNBabaJWMZuF4vfxRESUwLiLiIiIiIiIDhXX1esSwxWJ9fj5Wg3odNLXJaZN2+K6RDqMPM9DrTaH5eXbWF6+jRX/dHn5DlZWbmNu7hoa9cVt+dxpAdeov0pxLwZcAKDEiURciyjIAvJefBJXGHElpnEpeAAAT5noIo+uKqBhjPhBVx4uMvyCQkRERER7Qsdx/GlZyTWHvQla4UStegOVZhO1Vmu3D3tDMpbVP1ErGmilTNTKZzIMtYiIaEsw7iIiIiIiIqIDI1yX6MdatZpejxhM4arVgWZznXWJiXhrtXWJGRvI5+PrEoN4i9sQaD8TETSby2G4peOtO1hauuVHXHewsnIHrtvdtmOIBVyjZzHqT9/aywEXAEA85GQljLcKsoCCt4icrADQX0hMaYcBly3NMOjqRVwWusiho4poGEfCSVwuWIUSERER0c5pd7uxNYdrTtTyp241O53dPuwNydn2mhO1hpK3FQrIZfbOGnciIjp8GHcRERERERHRvhGsS2wkJm2tuy6xE5++Fb3seb3nD9YlBqFWqRS/bGcA02BfQftbp13H8vIdP9y6FU7c6k3guoNOp77tx2EYJkZGTuPI6D4LuABABBnUkfcWUJBFFLwF5GUReW8Rhr8u0ZROZJ1iL+QywnWK0UlcR/zzeXiMuIiIiIhoi4kIKs0mFmt1LNXrWKxWsRxOz2r4KxHj07Za3e37ZY6tlM9kehO1igWU8/mUQCsybatQQNbewz9rEBERpWDcRURERERERHuC50lvylYi2gqmbrXbG1uXGMRba65LHIhP28pk9O1sKmg/c5wOKit3seRHWythxHUby0v6tNlc3rHj6Q+4/Ihr7CyGh0/t7YDLZ0jHX6m44E/imkdBFmBJGwCgxI0EXA0dcaEJU/SbYaKMMNxqGMNcp0hEREREW0pEUGu1MLuygtmVSng6V4mfb++DWKuUy4VxVrkQBFr5RKDVm6hVLhSQsfh2NxERHXz8246IiIiIiIi2nYig0+kFW7GAq+FHXPWNrUuMTuKKrks0zd6UrUKhP9ziukTa7zzPRbU6m1iXeBtLS8HErduo1eZi/x9tN8OwMDj4CIaGT2Bo8ASGhk9gdOwMRkfPYLB8CkPDJ/dFwAUAEEHWX6lYiEzkClcqisBGy1+j2IANP+SSDgCBKAUHOXRVHi017q9TLMBBlhEXERERET0QEUG93e5FWquEW3txHeJAPo9yIR+boJW8HJ2oVc7nYTPUIiIiSsW/IYmIiIiIiOihua7EJmyFAVfkcrfbC05E+qOt6KrEblfHXYHoukQ7AxSLvWgruM4yd+EPTrRFRASN+mIk3LoTrkwMpm+trNyF5znrP9kWUUphYGAcg0MnMDR0AkNDxzE0dNI/fwKDQ8cxMDAOwzBjj8nlcgCAVqu1o6HZZhjSCeOtgsyj6M0j7y3CRMe/vesHXL1pXLY0oaD3uLoqg67Ko6lG0DX0JK4u8oBiQUpEREREG9eIhFvRUx1v6fO7HW4ppVD2Q61gclbaRK3wtmIBpVwOlskf0omIiLYK4y4iIiIiIiJak4ig3e6PtaKXm8341C3HSURbiZWJaesSg1hroKRjrWDyFtcl0kHQalUjKxJvRQKuYOrWHXS7zR09pkJh2A+3otHW8TDeKg8+AsvK7OgxbTkRZFDXqxT9dYpFbz4xjSu6UlEHXaboN9A8ZcBBAV1VQMM4gi4K6Ko8PLVPppERERER0a5ptNuxSGsuCLgqlfB8vd3e0WNSSmEwEmUlJ2oNFoo62ioWMJgvYNAPtUyOwSYiItpVjLuIiIiIiIgOOdeV1Elb0cuO0wu3PK83YSst3up29X0ChtELt3I5oFzuX5nI14lpP3OcdmTS1p1wReLy8m0sL+nTVquyo8eUyRQj0dbxyPStE/4KxePIZIs7ekzbTjzkZTmcxFXw5lGUOVjSAgAY4sTWKQYTuYJpXI7KoqsKqGMUXUMHXVypSERERERpWp1OYj2iP3UrEm7VWq0dP66RUglj5TLGB8sYGyxjfHAQ4+VBjA2WcXSwjGPDw7AtC47jYG/O2CUiIqI0jLuIiIiIiIgOsIeaurVKvJWcuhVdlzhY9qOtyOQt02QbQfuX6zqoVu5H1iXexsrKHSwt3QonbtVqczt6TKZpRyZu9VYkDg+dDCOufH4Q6gD/j2dIF3lZRNGb0yGXzKPgLcCA/gJlShsZacCWOmw0kJFGOI1LlIEu8v40rlF0kUdHFSCKL5MREREREdDudvvCreQErkpzZ6fuAsBQsRiGW+ODg/75Qf9yGaPlMjLW6t/TKgDWGrcTERHR3sW/wYmIiIiIiPYxxxE0GlswdStyOdJ5xaZu5XM63oqGW7bNqVu0f4kI6rX52IrE6MrEleXbqFTuwfPcHTsmpQyUy0cjk7biKxMHh06gVBqDcYj+xzOlE07h0jHXHHKyBBVbq9hARurhZC5D9L8zV9k64lJH0AmnceVYnBIREREdUh3HCSdr9eKtYOKWPr/SaOz4cQ0WCnraViTYGisPhhO4xsplZG2uBiciIjqsGHcRERERERHtUSKCZhOo1YB6w4+2apF4qw40m/FFCt3u2isT15y6lefULTpYms1KuCJxafkWVsKA63Y4dctx2jt6TMXikViwNRiZvjU0fBLl8lGY5uF908aSpg64ZE4HXd4ccrICAFDiwkazF3H1rVXMoaMKaKlH0EUBHVWAB5tfxGhLlXI5/Jv//af6riMiIqLd13EczFeqYbA1V1lJTOCqYLle3/HjGsjnVw239ASuAeQymR0/LiIiIto/GHcRERERERHtkk5H+qZs1SOTtxoNwHXjU7ei6xK7KfFWcupWxg+1OHWLDpput6lDrSU/2FrpBVvLS3r6Vrtd29FjymZLGBqOT9kaGjyB4eET4RpF287v6DHtZWHI5c2hKLMoenPIShUAYIgbW6loSx2WtKAgEKX8tYpFNIxRdFQBXRQgytzlPxEdBpZpYuLo+G4fBhER0aHjuG5quBVdmbhY29nv/wEdeY/5kdZ4ysrEscEy8gy3iIiI6CEx7iIiIiIiItoGrit62latF2olp251Or0SSyQSayUnb/mnbmIznB2JtAYLkWjLD7g4dYv2K9ftorJyL5yypSdt3fGnb+mAq15f2NFjsqxsL9hK+RgcOoF8vryjx7SfrB1yOXqtIuqwpY6MNGBJG4BAlIEOCmirAdSMo+ioIrrIA4plKhEREdFB4bguFqpVzPqR1uzKSrg6MZi8tVirQUTWf7ItVMxmY+FWeD6Mt8ooZLM7ekxERER0ODHuIiIiIiIi2iQRQavVC7WS0ZZel4jYC8+O40/bik7eSqxLjL5ObZq9dYnFIjA8FJ+6ZVmcukX7k+d5qNXmelO2lm/5AdedcF1ipXIfIt6OHZNhmCiXj4XTtYKViUPh5RMolkahWEtuiCltFNxZDHdvouDNouTNIisVAGuHXJ4y0EURLTWIjlFERxXgIM9KlYiIiGgfcz1Ph1uR9YjJcGuhWoW3w+FWPpOJRVrBusTodUWuXiYiIqI9gnEXERERERFRguNIX7AVXK77E7iS6xL7pm0lJm95kU5Fqd7ErWwWGCj1r0s0uV2M9iERQbO54sdat8KJW+EErqXbWFm5C9ft7OhxlUpjGBqOTNka1MFWsEJxYGAcpsmXSB6EIR0UZR5Fbw4l7z6KMoeBjl6H4zpt2F59lZDLRBcFNNUQukYBHVWEgxxDLiIiIqJ9xPU8LNVqetpWJQi2gnhLX16s1eB6O/eLGwCQs+2+cGssEnCNlcso5XL85Q0iIiLaN/jKJRERERERHSo6PtGBVhhu1XvrE+t1oNWK/8ZwGG4FKxITlx0n/jlsuzd1a7DcH25ZFvsF2p867Xo4Yau3LvE2lvzT5eU76HTqO3pM+fxgZOJWEHCdDFcoDg4+Atvmb9xvBSUu8rKIkjeLoncfJZlFwVsEIFDiwYYOuPJGC7bUYLgNQHoTuRhyEREREe0fnudhqV7vrUmsRKZt+dfNV6s7Hm5lLCsWaUUnbgWnDLeIiIjooGHcRUREREREB4rjSN/EreQUruTUrSDUSluX2O32r0u0/VCrWOiFW+GpzXWJtD85TgeVlbuRcCu+MnFl+TYajaUdPSbbzoeR1lDKx+DQceRyAzt6TIeGCLKygpLMouTdR8mbRcGbhwG9Q9ZGAxmphx+WNKEgEGXAUyW0VRktYxxtVeRqRTpQHNfFzfmF2HWnRo/A4shNIiLaRzzPw3Kj0VuPGFuX2Au3HNfd0ePKWFZ82lbK5K1yPs9wi4iIiA4dxl1ERERERLRviAg6nV6sVU2c1mpAs7n61K1kuNXpANHXqpUCbMsPtRLxViajz1t875b2Ic/zUK3eD1ckLi3fCidtBdO3qtVZiMj6T7ZFDMPC4OAjiVgrMoFr+CQKhWG+cbNDLGn2JnJ591GS+/4KRcCSFjISrFbUHwoeRCk4yKOjiqgZ4/5ErjwsOwMAcBwHO/dfFNHOqLVa+NFf/Wex63775/4WhorFXToiIiKiOBHBSqMRRlq9qVu9gGuuUkF3h8Mt2zQxVi6HkVYy3Do6OIjBQoHf/xMRERGlYNxFRERERER7RnJlYjB1KzhfrwOdTnzqVjLeik7hSpu6FUzZKhaB4aH+lYl8HZn2GxFBo7GkJ2wt3QqnbC0v38byym0sL93GyspdeJ6z/pNtEaUUBgbGIxO3etO3hodOYnDoOAYGxmEYrCV3gxIHBVnwJ3Lpj5ysAAAM6foBV02fog5D9H87jsqho4pYMYbRUUV0UYCo+L9DfgklIiIi2j4igkqzGZmy5a9JrPQmcM2tVNBxdu57fwCwTBOjAwPxKVvhykR9eahQgMEx10REREQPhHEXERERERHtGB2h6ElbQawl0kG1Krg/66FWi69MdN30cKvbAdodIPl6dbAuMWMDhUIv2uLULdrPWq1qOHEr+FhZvhObvtXtNnf0mAqF4fiUraGTkfMnUB58BJaV2dFjolWIICNVDMh9lLx7KHn3UfTmoOBBiRdZr1jz1yu2AACustFRRVTVUXRQQlcV4Cl7l/8wRERERAeXiKDWaoXBVl+45Z9vd7s7elymYfjhVrAaMTp5S183Uiwy3CIiIiLaRoy7iIiIiIhoywSTt4J4q1bT56vVXswVj7cESnXR7ghqVUG7E5+8lVyZGEzXyuaAgXIv5Aqu52vJtN84TjsyaSsIuG75p/r6ZnNlR48pkymGk7aGw1WJ0Y/jyGS5fmyvMqSDojePAbkbTuWypQEgWK9YC2MuWxpQEIgy0EEBTTWEjlFERxXhIstRhkRERERbRERQb7d7kVYk4ApWJs5VKmh2Ojt6XIZSOOKHW+ODvZWJvalbZQyXSjD5wzYRERHRrmLcRUREREREGyYiaLX6o61ozBWNtxwnHmt1/IlbwXnPAyxLj9/yvN6UrWJBr0wMJm5lM4BlsTOg/cnzXNy+9U3MzPwJFhdvRCZw3UGtOrujx2KaNgYHj2NouBdrDcamb51APj8Ixf/Z9gcRZGUFA949lESHXAVvHgoCQ1zYfsiVRQ221GGKnvLQVXl0VBF1YxQdVUIXeUDxDTsiIiKiB1VvtcJIazYl3JpdWdnxcEsphSOlUn+4FU7dKmOkVIJlcsQ1ERHRpgkgAgj0aepl9K4Lb/dfOhdJuS3ludZ63pICBrM7+8em3cO4i4iIiIiIYrpd0cFWFahU+0Oubje+NjE2bavdH28FDENHWpkMMFDyo60sUB6wkMkATnLHItE+JSKYm7uCK1OvYWrqVVy98rUdmb6llEK5fCwyaSu+MnFw6ARKpTGuS9nHDOmi6M35U7nu+VO5moAIbARTuXTQZUsTgMBTlg651DjaRgkdVYQovhxEREREtFGNdju2HnEuCLgqlfB8vd3e0WNSSmGkVAojrd7KRB1yjZfLODIwwHCLiIgOLokHUpsNrNIur/ccyehq0xSg4P8Cs9Knscv+eaX07+CtdltwuaiAnKFQ9193p4ONr+YRERERER0ynidoNBLxVtX/qAHNpkTum5i21Y5fjq5NNIze5K1SSZ8GMVcmA5hm/+QtpRRyOX2l6yqIPMhPxUS7b2Xlrh9zXcSVqVexsnJ3yz9HsXgkjLSGUj7Kg8dgmvaWf17aJSLIoKancnn3MODd7ZvKlQ1WLKIGQxyIUnCQR1uVUDWOoqNKcJDj2EMiIiI69DzPQ8dx0HYctDpddJwu2l0HrW4Xbf9jpdHoTd2KhFy1VmvHj3ekVNLTtsqRcKvcm8A1OjAA2+JbfEREtMs2EEf1Tap62NDqIeKqVaOqBwirVORxSDuf8jkehFKAETkuI3KaE6DkKFjjJsrHH+z5af/gd35ERERERAdQtyuxYKtaBSqV3vrE6OrEvpWJ/vStdluvVQwolb42Mfjg2kQ6TJrNCq5e/Vo4nWv2/nsP9XzZbElHWsO9KVtDg364NXwcg4PHkckUtujoaS9S4qIgCxjw7oYxV0bqAABL9FSurD+ZKzqVq61KqKpj6KCIjipBFKczEBER0f7geh7a3S46fnDV9oOrILZqdbtoOw46wfnww0Hb6fqRlpN+W7eLTiTe6uyhSdFDxWIs3NLnB8MJXKPlAWQYbhER0WakBVUp1/VFVBsJq9YJsjYlLZRKiaAM+IHVZuOqdSZjbZZS+heag6AqDK2M9FPD6B1HcN5Y53HJ+/aFXGu94N5SyCwbUCcNNEwFd/V70gHA7w6JiIiIiPYhEUG73Qu2KhU9hSuIuJLTt9rt9Hir0+n99hQA2HZv4tbAQHz6lm0z3qLDq9tt4frMn2Bq6jVcmbqImzffgIi3/gMjxsbO4dTp5zE8fBKDQ8cxPHQSQ0MnMDh0Avl8eZuOnPYqU1oY8O6j5N31g65ZGHCgxEMGdX+9YhUZqcOULgCgq/LocCoXERERbSPHdXUk5TixYCoMqBwHbT/E0gFV5Han69/mrHlb8Lxd9+C9BTlYKPjTtQYxHl2ZWO6FW1mb03aJiA601SKrlNBqQxHVBp7vgSKrdUKrIDbqi6keJLCK3GeTh6kjp1ViqrVu64urNnAae571wiqiHca4i4iIiIhojxIRNJu9cCt6Wq0CnU7vp3bH0bFWu7329C3D8GOtLDBY9qduZXsBl2Hswh+UaA/yPBe3b7+lJ3O99yqmp/8YjrO5dSzl8jGcm7yAycdfwrlzL2JoiPPRDy0RZKWCAX8i14B3F3lZBAAY0kVWquFkLlvqUBB4ykRHFVFX42gbJXRUEaL4Mg4REdFhIyI6uIoEU61ufMJVdNVgKzrByo+qgglX7eRjUyZlud7mfoHhMCnn83o9YjhtKx5ujQ+WGW4REe1FyajqQYKrdWKs5HNvSkoUlQyjopOsVl0l6HdIagPPt1lhLJUWUK0RWq0aTq32+JSpVupBRm4RHUB8VZCIiIiIaBeJCBqN/oCr6p92u/H1ieHErcT0regvPFsWkPWDrfJAPODi6kSidCKC+fmrmHrvIqamLuLqla+h2Vze1HPkcmU8du7jmJy8gMnJlzA2fo6/4XdYiReuWAw+MlIHRGCjhYxUwxWLluho0FFZdFQJdeMIOqqELgr8gk1ERLRHiQg6jpO+EjCyTrAdrhpMTMBKmWIVvS26TrDd7cKTzb5LTBthKIWsbesPy0Ixl9PxVmTiVhBvjQ2Wkc9kdvuQiYgOjpQoas11ghuJr9aYcrUZaTFUMqIKJ1ql3LadodWq4VR0ClVKOJUaWW3kfBBZMbAi2nWMu4iIiIiItpmIoNUCVip+vFXR56v+qeMkAq52fApXcD76QkQmowOuYgEYHtbhVjarrzfNXfhDEu1Dlco9TE1dDKdzrazc2dTjLSuLM2e+R0/mmryAEyeehmnyx+zDyJAuSt79SMx1Dwa6kRWLvZjLEAeiFLoooKUG0TZOoqNKcBXfLCQiInoYnufp6VSRKVbtRCQVv239KVbtrhOZhhWflCUMrraFaRjI2jZyto2MZYXns7YVhlhr3Za1LGTtDLK25d9mIxOct2xkM/o+OduGZZr8ZQwioqQNBFOrTava0OMeJLhaL6KKxEtr3afvNqTcZxN/LSjEY6hkTNUXX60SZa0WacWeM1wVyL+3iA4rvupMRERERLRFOh0Jw62VlV7EVanEVygmA65WZBJX8MKGUr2Aa6AEjB7h+kSih9VsVnDt6tf9oOsi7t//7qYer5TCiZPPYHJSx1wTE98D285v09HSXmZKCwPeXZS9Oxjw7qLozUJBYIjjr1fUaxYzUoeC569YLKGmjvorFksQxRKXiIgOPtfz0O7qlYCtzioBleNEVg1GJmBF1gmm3taNT7jqRPfR05ayTTMRT/nn/WgqY/eCqeht0cfk/OCq77GWjVym97wWf1uJiCjdOsHUpqOrLVgpmBpQRadbpURWfR/of1zalKuNSgui0gKqtBCr7z6rPBcnWhHRbmDcRURERES0Ca4rqNV0vLUSxFsrwPIK0Gz2Xv3odhMTuIKIqwN4nr5PLOAqA6P++WACF38Ri+jhOE4bMzN/Ek7munnzDYh4m3qOsbFzODd5AZOPv4THHvsYCoWh7TlY2tMyUtUxl6tjrrwsAgBMafsTuarIShW2tAAIXJVBW5WwYpxCmysWiYhoHxAR1NttVJtNVJpN1JotVJtN1Ntt1FptNNvtvnWCOq5ae9VgN7o/nrZUMLkqa1n+NKreFKtMMNFqlRArOcUqnIYVnXAVCbFM/nYREVG/5IpAJIKq6GVsLrBabVXhRq0bXRnpEdVagdXDTLiKBVZp0VXKddHAShnrB1jB8zC2IqKDinEXEREREVGKVkvCCVwrfrxVWQEqVcDz9KspnqeDrXarF28FIVf0PYwg4CqVevFWLgvYNidwEW0lz3Nx5/bbmJq6iKmpi5iZ/mN0u81NPUe5fBTnJl/C5OQFnJu8gKGh49t0tLRniSAnKxjw7viTue4gK1UAgC3NMOTKSA2WtAEAXZVHR5VQNR5BW5XgIsuYi4iIdkW720W12US12UKl2fTPN8Noq+pHW8nLtVYLrre5CJ76RVcG5jL9kdT6t/UirNgELCs57cqCwR8miYi0ZGSVEkwlYytB4r5p163xnJteKxhYJ5oKp0GtM+kqXEW4SsC1UcmIqi+sSpl2Fb3eTMZZq0RbDK6IiB4e4y4iIiIiOrQ8T0/hWl4Blpf1+sRlP+ZqteJrFFut/pCr2+09l2X50VYOGBrqBVxcoUi0fUQE8/PXMDX1Kq5MvYYrU6+h2Vze1HPkcmU89tjHwulc4+OTUIxyDhcRFGQBA/6KxbJ3B7Y0ABFk0AhjrqxUYYgDUQpdFNBUw/6KxQF4yt7tPwUR7ZBiNot/8ld/rO86oq3kuC5qrVZKiNVMCbfi9+FqwjhDqfg6wUhUFZ9itdaqwUxfhJW1rb51ghnL4veRRERAf0iVtiIweTtWWSGYdj36n3NTEoFUWjSlFGCgF1pFHxOLqZD+2LUub+gQV5lglRZZpX4k1wkG15nx2xhdERHtH4y7iIiIiOjA63bjU7iWlvVppaLXLAL+FK5Wb/pWq9WbwhVdo5jL6XBrpKjjrWwWyOYAy9y9Px/RYVKp3McVfzLXlamLWF6+vanHm2YGZya+B5P+dK4TJ5+BafJH48NEiYuCzKPs3fYnc92FKR0o8ZCRemwylwEXogx0UEJNHfVjrhJE8Ys+0WFlWxaeOzux24dB+4CIoNnpoNJootpq+qctVBsNVFstfTk11tKrEA8y0zBiU6yiwVQsxFozpsrEJlzF1glGgivbNBlcERH5olGU6wLeGusB+yKrTawT3FRstVo0FYmigmlWa0296nserB1vbYZCJJSKrghUietSTmOTr1LWC4bBViK6Mvh3FxERJfAVbCIiIiI6MNptCcOt5WX9sbICVGu9V5W63d4EriDmarXiU7hsW0dbxSJwZKQXcGVsbtki2mnNZgXXrn4dV668hqmpi7h/7zuberxSCidOPoPJc3rN4pmJ70EmU9imo6W9SImDksxiwA3WLN6DgS6UuMhKLRJz1aHgwVMm2moAVeM42qqEDor+OwlERHQYdRwnNcKqNJuoRVYbJi9Xm819u+bQNAyUcjmUC3mU8wWUctlwMlVfTBWJsZITrnorBOOrBi2TkTQR0aoSoVRqgPWgHwAMpf9uWu+vqNR4Krk+cL0PpD82GmFtJrRSiIdV0eAquUJQpVyXensyyEqNs/hiIBER7T7GXURERES0r4gIms3eKsXwYwVoNsW/T2SVYiTgarf1byYC+kWcrD95a2RET+EKpnLxvQai3eM4bVyf+VNMTb2GqalXcevmG/A8d1PPMTb2mF6zOPkSHjv3MRQKw9t0tLQXGdJFybuPsncbA94dlLz7MODCEAcZqYUrFm2pQ0HgKhsdVcKKcRJtNYAuCix5iYgOGNfzUPfXHMbXG8ZjrLTLrehvgewzxWwWA/m8/5FDOTyfdjnvX86hkM1CKb2oybL0WwiO42x66xUR0UEXC6e8jQVZ3iqPiU2+2gC9Uq+3NjAWXqVcFwRZlqWgFOC56I+uojHXBsXCqpT1ganXJdcLqv77rTYdi2sEiYjosGLcRURERER7koig0dDh1tJyPOZqt3urFIMVikHAFURcwYthptkLt4YGewFXNsv37on2As/zcOfO25h671VcmXoN09N/hG63uannGBgYx+TjL+HcuQuYnLyAoeET23S0tBeZ0kHJu4uydxdl7zaK3iwUPBjSDUOujNSQkQYAgasyaKsB1I1RtNUAHOT4FwIR0T4gImh1u6g0mqhF1hxW/DWH1ej6w0SsVW+3IRt9t3yPyVhWLMYqRSKs+OXe9QP5PEq5HCdkERElJQMrrz+4WvW2lHhr3ep1jUlXhgKUvclJWJuMrwwDMCORlWkA2awBw1BwXbdv6tW6H8nwirEVERHRjmHcRURERES7Koi4lpbiAdfSMtDp9CKuaLwVfHQ6vYjLsnS4VSoBo0f0+VxOX8/37In2DhHB/Pw1XJm6iCtTr+HKldfQaCxt6jlyuQGcfexjmJx8CZOTFzB+9HGuSThETGlhwLvrr1i8g6I3BwWBKR0/5Aomc7UACByVRVsNoGaMo60G4IJ1LxHRbnJcd42JWcG6w+T6Q33ZcTc3zXOvMJTSwVVkWlY59XIeA/46xOC6rG3v9uETEe2+RGTlBadIRFgpQVYyzlpTNLIyetFVNMRKi7CSj9lMhBUNsAzT/3xm5LrEh2muH2GZxipTrhSQy+m3hlsttX6cRkRERHsG4y4iIiIi2hHRdYpLS/40rmV9PhZxteLrFJtNHXEFMraOtgbLQDbXm8pl8Ttboj2rUrmPq1dew9R7FzF15SKWl25t6vGmmcGZie/B5OQFnJu8gJMnn4Vp8n/6w8KSRhhzlb07KHgLAASmtMPJXFmpwpIWAKCrcuioAVSNR3TMpbK7+wcgogPF8zxUmvEJk+V8HoZh7NIR7Q7P81Bvt/0wa/VVhzrMiodczeg39/tMPpNZZ7VhDuVCAQO5HAYKeQzk8igX8ihkMofuvxEiopDE4ysvEV15aXFWynWrigZWKUFWNLxKnZ4VuX69IVRhiBWJr2Kx1SrXB4/pC7k4+YqIiIg2iK+GExEREdGWa7dFx1t+xBXEXK1WfJ1iMxJy9UVcmfgqxeCDm0WI9r5Wq4prV7+OqanXMDX1Ku7f+86mHq+UwokTT+Pc5AVMTr6EMxPfg0ymsE1HS3uNLXU/5rqNsnsbedGT3SxpxSZzWdIGAHRVAS1VRts4ibYqwVOZ3Tx8IjrgKs0mfuiX/mHsut/+ub+FoWJxl47owYkI2t2uv9owGme1UGk2UqZq9S7XWi14+3TNoW2aa8dZscvxVYdcc0hEh1V0ClYyvPIiQVZqwOWt8cTJwMo/taz+69ICruD8Gk/fC6780yC6Ms30GGvVUwOcGE1ERES7hnEXERERET0wx5FwElcwhWtxCajX9Rs9IomIq6nPR9cpZmwgl/cjrnxvEhffNyHaPxynjevXX8fUexdxZeoibt68DM/b3Nqk0dGzmHz8JZybvIBz5z6OQmF4m46W9pqM1DDg3UHZvY0B7w7ysgwAsKQZm8xlSgeiFLoooKmG0TZK6KgBeIrrqojocHNcF7VWKz4xq9FEtdVE1T/Vl1uxy7VWCx3H2e3DfyBKKZRyuVh4lQyxVrsuZ9t8c56IDieJxFlBqJUWaKXEWqv2vIk4K5hUZRlrx1kbCbPCICsSZUU/DCPlfPQ6TsYiIiKiA4RxFxERERGtS0RQrQFLizreWlrW51cq+jZAB1vNSMAVTOQKXgC0/XWK5XJ8EpfFiIto3/E8D3fuvI0rUxcxNfUapq99A91uc/0HRgwMjPuTufSqxeHhk9t0tLTXZKQahlxl7w5ysgKIwEYzNpnLlK4fcxXRUEfQNgbQViWI4ksZRHTwiAga7XbfhKxK5LTWt/5QX26027t9+A8sn8noSMtfYahXGfYulwt5lCKBVjBVq5jNcs0hER1afVO0IuejsVba+VSqF2YF4ZVpApadCLeC8xuIs5Tqj7FMU78GlAyzrEiMZUZiLoa4RERERD18RZSIiIiIYtptCSdwLS7piGtpGeh2daXlunqFYrPZi7labX09oF+Ey+WAYgE4MgLk837Exe88ifYtEcHCwjSmpi7iynsXceXK19BoLG7qObLZEh577GPhdK6jR9/HF+sPiYxX0SsW/VWLWanEYq4g6NIxl4EOCqirMbSNAXRUCaJYARPR/hGsOaw2kusMG2GMlYyzgjWHrrfW3qq9yzSMdVYb5lDOF/T0rEi0NZDLweYPCUR0mEUmaa0XaUVvXy3Sik3KCoIsOz5VS6nIbcbagVYQYAXxlWklLpspl61evMWJWURERERbhz89ExERER1SnieoVPyIK5jItQTUar2Viq2WjriC02YL6Hb145XS0VY+BwwO9c7b9tpj9Ylof6hWZ8PJXFemLmJp6eamHm+aGZw58yE9nevxl3Dy5LMwTf4Iehj0Yq47fsxV9WOuRmzNoiGOH3MVGXMR0b5Qa7Xw7Vu3+67/f/8fX0Sj1Ua11UI7+GZ5HyrlcqlrDNdbdZjPZBhsE9GhJ6tFWslQKxFrpVHRKVp+iGXZ8claRsp90loqBR1cBQGWZUWirNXOh9O1+LWdiIiIaK/gK+tEREREh0AwjWthEeFUrqUlwHF0yNXtxqdxNZtAu91bqZjJ6HBrZESf5vNANsuIi+ggabWquHbtD3XQ9d5F3Lv37U09XimF4yeewrlzOuaamPgwMpnCNh0t7SWbj7lKqKmjfsxVZMxFRHtOtdnEzNwcrs/OYXp2FjOzc5iZncNcpZJ6/xtz8zt8hKvL2jbK+TxKkelZaZeTU7aKuRxMrjkkIgIkHmqlTtJK3ubpx/VJibAsy4+xjMQkrcg0rdRISyUCrZRgyzIj10diLU7QIiIiItr/GHcRERERHSAiglpNT+JaWPQnci0CVX8al+fpFYqtJtBo6tNmC3Ac/fhgpWKpBIyNArm8jrlMvu9OdOA4Tgc3rr+OqalXMTX1Gm7euATPczf1HKOjEzg3+RImJy/gsXMfR7E4sk1HS3tJRqoou0HMdSsl5qogK7Uw5mqrEqrGUXQwgLYq6Xe2iIj2gGqz6Ydbs5j2A66Z2VnMV6u7elymYaCUy/mrC/P+KsPk5d5qw3Ihj1Jen8/a9q4eOxHRnrLW2sPkusPIdWmhVt80LQOwopFWJM4KQq3Vvu0Ngqy0WCsMtRhpEREREVEE4y4iIiKifcpxBMsr/SFXpyP+7XoCV6PZm8oVncaVzeoJXGOj+jSXBzJcqUh0YHmeh7t33sHU1EVMTV3E9PQfodtpbOo5SgPjmDz3IiYffwnnJi9gePjkNh0t7SUZqfkx121/MldlzclcQczVVmV0UGTMRUS7rtpsYvr+LGbm9CQuPZFrDgvbHHEVs9lVVxsGYdZAoaBPI/cpZLNcc0hElCT907LWmqYVXJ8mGWKZpr/2UMWnakWnbqV9WTZUJMSyElO0rHigFT3l13giIiIi2izGXURERET7QKcjWFwE5hd6EdfyCuC6utRqtfrXKna7+rGGoeOtUgkYG9OTuHKcxkV04IkIFhZm9JrFqYu4MvUaGo3FTT1HNlvCY499DOcmL2By8gKOHns/34g4BGyp66lcftCVk2U/5mpGJnP1r1lsmYy5iGh3VRoNfwJXb5Xi9OwsFmu1LfschlLwJD7S5W/80A/ikaGh2KrDUi4Hi99wExGlkmSUFZ2uJavHWmlUIsSyTMCwV5+mtdraw2BlYjTCSkZbVmLKlsFpWkRERES0Qxh3EREREe0xjYZgYRFYWOhN5KpUImsVW5FpXA0dcwW/jWrbOuQaGQEKeX0+k+E0LqLDolqdxZWp18Kga2np5qYeb5o2Hj3zIT/megmnTj0L0+R6p4POkiYGvDsY9G6j7N5CXpYAALY0w5ArI1WY0o3FXG2DaxaJaHcs1+vhCsWZuTlM35/D9bm5LY24TMPAqdEjODM2hjPj4zgzPoaJ8XGUcll8+h/9Suy+n3jyCQwVi1v2uYmI9g1JTM+S9QOt4PY+Kj4pK4itkpO0VOJyWltlmv2R1qrBVhBqGXzhhIiIiIj2LsZdRERERLtERFCv9yKu+QV9vtHQr3K6bjziakTWKirVW6s4ONQLuSx+d0d0qLRaVUxf+wampl7F1NRruHf33U09XimF48c/iHOTL2Fy8gImJj6MTJZvTh90pnQw4N1F2buJQe82Ct4CAIElrTDmykoVpnQgSqGDEupqDG2jjI4qQhQn0RDRzggirulwEpc+XarXt+xzWKaJU0eO4Mz4mP8xjonxMZwYGYGd8s318hZ+biKivUSiAZasvfYwGnNhtVArOVErbZpW5H6r/b7AmpFWcFtiBaLB33AjIiIiogOGb/8RERER7QARQbXaC7iCyVytln4VtNvVEVcjEnJ1OvqxhqFXKZaKvbWK+by/SoCIDhXH6eDG9dfDNYs3blyC5zmbeo7R0Qmcm7ygPx77OIqlI9t0tLRXGNJFybuPsncLg95tFL37UBCY0kZWKsj5qxaDmKuLIurqiB9zlRhzEdG2W6rVehHX3Bxm7s9hZm5uS0MqyzRxavQIJsbH/WlcOuQ6eWSE6xOJ6EBZN9JKWYkoq03TQn+QFaw9TIu0gqlaaW2VUuusPEysPwzux7XwRERERESMu4iIiIi2nIigUtHxVhBzzS8AnY5+pbTT6YVcjYY+3+3qx5qmDreGBoF8QU/kyma5VpHosPI8D3fvfitcs3jt2jfQ7TQ29Ryl0hjOTb6ISX861/DIqW06WtozxENJ7qPs3sagdwsl7x4MuDCki5xUwulclrT8mKuAhhpB2yijrUoQxZcKiGjriQiWIpO4rkcmcq00Nvd321ps08Sp0VFMRCZxnfEncTHiIqL9QqQXZ4WRlsTXGvZN0vKvS52khcg6wyDIMuNrD1eLtdKYRi++Wi3WSoZapgmotB2KRERERES0Lr5iS0RERPQQgpArjLjm9VSuaMgVRlz+RC7HH7JjWTreGhnprVXMZBhyER12CwszmHrvVVyZuogrV76Gen1hU4/PZos4+9jHMDl5AZOTL+Hosffzt90POhHkZRGD3i0Mejcx4N6FiQ4McZCRahh02dICIOiqPFpqEC3jJDpqAJ6yd/tPQEQHiIhg0Z/ENeNP4pq+P4frc1sfcZ0eG8XE+DgeHRvDxFE9kev4yDAjLiLafUGMJfEYSyQeY/XFWutM0YJKTMnyp2Epu//6jURahkqsPIycrjpRywQMgz9fEBERERHtJMZdRERERBskIqjW/IDLD7mSE7kajfhEriDksm0dcI2O9kIu22bIRURArTqHK1dew5Q/nWtp8camHm+aNh599AWce/wlTJ67gFOnn4NpMtY56DJeBYPebQx6N1H2bsOWBpR4yEjNj7lW9HUQOCqLtiqjajyClirDU5ndPnwiOgBEBAu1GmbuBwHXLK7PzWFmdg6VZnPLPk/GsnB6dNSfwjWm1yqOj+GRYUZcRLRNJBJhRaKs1DArEmMl463VKNULsIJT0wQsO35d7LwfaK32GkKwLtGMBFjJSCvt1DA4TYuIiIiIaD9g3EVERESUQkRQr+t4K4i45ueBdrt/ItdqIdfYqI64CgV9HRERALTbNVy79g1/OtdruHv3W5t+juPHn8Lk4xdwbvICzk58BJlscRuOlPYSU1p6Mpd7C2XvFnKyAoggg7pes+hVkJUaFDy4ykZblVEzxtFWA3BVbrcPn4j2MRHBQrWK6WAS16wOuGbm5lDd4ojr0bFRvUZxbAxnIpO4TGOVkTO7oJDN4u/+pZf7riOiPUASEVY0wFoj1NpMmAX0h1nK0GsKgxWHapVAKzhdraUKpmiZZi/QSsZZ4W2J+3GSFhERERHRwca4i4iIiAhAqyWYm9cBV3DabOqQq9uNT+RqNFYJuQr6PEMuIopynA5u3LiEK1MXMfXeRdy4cQme52zqOY4cmcC5yRcx+fhLOPfYx1EsHdmmo6W9QomDAe+ev2rxBorePACBJc1wzWJWqjDEgadMtNUAVoyTaKsyushzNCQRbZqIYL5axbQ/iSuYyDUzO4daq7Vln0dHXGOY8CdxnYlM4tpLEddqMpaFP/PBJ3f7MIgODgEE/RGWeICHXnyVjLH64qwNRFmIxFZKrRFmqd75tPuvJpjAtdkPBlpERERERLQexl1ERER06HS7Ek7jCkKualWHXK6r4616oxdydbv6cZalp3CNHtGnnMhFRGk8z8O9e++Gk7muXfsGOp36pp6jVBrTMdekns41MnJ6m46W9gwRFGTen851EwPeXRhwYEg3XLOYkwpM6UCUgQ6KqBpH0VZldFBc+51GIqIIEcFcpeJP4Jr1J3LN4frc1kZcWdvGo2OjmBgf1zGXP4nr2PDQvoi4iGgVkRgrNiErZWLWWtdHL69JRcIqFZ+KZRmAsuO3xQKtRJi11vbBIMwygujK6I+wjJTrzMj9GWcREREREdF2YdxFREREB5rrCpaWgfk5HXLNzQPLy/pNLc+LTOSq69N2Wz/ONHW8NTIcD7k4CIWI0iwuXMfU1KuYmrqIK1OvoV5f2NTjs9kizp79KM5NXsDk4y/h2LEPQPELzoGXkRrK7k0MeTdR9m7BliaUuMhKFVmpICcV2NIEIOiqAhpqBC1jEB1Vgihztw+fiPY4EcHsSkWvUpybw/T9WVz3J3HVg296t0DOtvHoWDCFawwT/iSuY0NDMBhxEe2uRIiVFmMlP7xElKUMD+IBjrvBGAvxCCsaZhmqP8YKgyz03z+4vBbD6IVYRiTKioZYsSjLiAdcBsMsIiIiIiLaBxh3ERER0YEhIqjW4iHXwgLgOAIRoNnyIy5/Mle7rV+cNgwgnwfKZT/kygPZLEMuIlpdrTaPK1OvYWpKT+daXLy+qcebpo3Tj57H5ORLODd5AadPPw/T5CjAg86QDsreXQx6NzDo3kRelgARZFBH1qsgJyvISA0KAkdl0FaDqBiPoK3K8BT/+yCidDriWvEncM36E7nmMDM3h8YWRlz5TAaPjo2GaxSDiVzHhgYZcRFthbQpV2nx1SqTsVIft4EQK3UyVmxdoYJSOvqKxVfoXU4GWeuJRVV9kVV/lBUEXGlRFn8hgoiIiIiIDgPGXURERLRvtduCuSDk8k9bLb1esd3RIVewXrHZ9F+MVkAuB5SKwNgYUCzoy3w9mIjW0m7XcO3aN3Bl6iKm3ruIu3e/tennOH78Kb1q8fGXcHbiI8hki9twpLSniKAocxj0boarFhU8mNJGTlbC6VyGOPCUibYqY9k4jbYqwwH/ciKiOM/zcH9lJVynGARcM7NzaHY6W/Z5dMQ1honxYBqXjrmODjLiIgIQi7A2Og2r7z4pYZbIBj73KhGWUn6IlbwtWGGI/vtvZFWhAmDZCqah4HluLLZKxlix24zVAy49pYvf4xAREREREW0G4y4iIiLaF1xXsLQEzEZirpUV8W8D6pGQq9EAHEc/LpvV07iGhnpTufieFBGtx3W7uHH9kr9m8SKuX38dnuds6jlGjpzB5OSLmJx8CY+d+zhKpdFtOlraS2ypY9C9gSHvJga9m7CkBUNcZPyQKycrsKQFUQodFFFTR9Eyy+iguLFRF0R04Hmeh3vLK7g+N4fpcBLXLK7PzW9pxFXIZnHGX6f4aLBOcWwM44NlRlx0MAQrCVOCqnVXEyZDLMQfvy6VMtEqetlKWUGY8pG8bb0mKlhxGERXhhm/HI2v1ouy9PUK+bwNpYBWy9H/IIiIiIiIiGjHMe4iIiKiPUdEUK/7IZf/Mb+gAy8RPYWr3uhN5gq2zViWDrhGR/VpsaCvIyJaj+d5uHfv2/6axYu4dvUb6HTqm3qOYmkUk+dexLnJC5icvICRI49u09HSXqLEwYB314+5bqDgLfirFhvIeiuJVYtZtNQgWsZJtFUZoviXFNFhpiOuZczMRiOuOVyfm0Or292yz1PIZjExPqancR0d94OucYwPlrnO7AEs1+v4oV/6h7Hrfvvn/haGipzI+VA2MQlrM2sJNxIjRSdZRaMqI5hyZcUnXoXBVcpjjQ1GWEB/hGVGoqu+y4noqi/O8i+rrZ6KFfx5iIiIiIiIaFfxlWQiIiLadY4jmJ/vxVyzc0CjkbJesQ40mvpFeqX0FK7yAFA4pkOuTIYvPBPRxi0uXMfU1EUddF35Guq1+U09PpMp4uxj34vJyZdwbvICjh37ACedHAYiyMkKBr0bGHJvoOzdhgEHpnSQFR1z9a9afBQtVYarcrt99ES0CzzPw92lZczMzWH6/mw4kev63DzaWxhxFbPZcIXiRGSd4liZERdtMYlPslotxFotwlptPeG61llJmHp72gSsRJC1HkOlx1bJ65JTsfqmYCWmaXE1IREREREREW0U4y4iIiLaUSKCSiUeci0tAZ4n8Lz4RK56vX+94vCwPs1zvSIRbVKtNo8rU6/hypWLmJp6DYsLM5t6vGFYePTMCzh3Tk/mOnX6eVhWZnsOlvYUQzooe7cx5AddWalAiYeMVMOYy5YGRCl0UUBNjaNlDnLVItEh43oe7i4thWsU9USuOdyY39qIq5TL4cz4mJ7A5U/imjg6jtGBAUZclG61GMtfN+itFmCttsbQW/9TpgVYQWRlGf23bSTKWnclIdJDqrUmYvWtKUxZZ8j/r4iIiIiIiGi3Me4iIiKibdXtCubmdch1f1aftlr617JbrV7E1WjoyyL6BfZCAThyRE/kKhQA297lPwgR7Tvtdg3T1/7In851EXfvvLPp53jk+AcxOfkiJidfwsTZjyCbLW3DkdKeI4K8LGLIu44h9wYGvLtQ8GBJS8dc3ooOvODBVRm0VBkV4xG0VRme4l9YRAed63m4s7gUBlwzczrmuj43j07wmwlboJTLYcKfvnXGn8Q1MT6GI4y4Do3oZKtokOUhcX0ywkqJstZbT5gMsILwykiLrwz/8mqP20CIlToNa43wKrmSMO3ylq8kJCIiIiIiItojGHcRERHRlhERVKu9iGt2Flhc0te7rg64avXeZC7X1Y/L5XTENTqqT3M5rlckos1z3S5u3LiMqfdexZUrF3Hj+iW47uYmpYyMPIrJxy/g3LkLOHfu4ygNjG3T0dJeY0obg95NDLo3MOTdQEbqUOIiG07nWoElLYgy0FYlrBgn0FaD6CLPv7SIDijHdXF3aQnTkUlcM/4krq2MuAbyeUyMj+FRfwJXMJHrSKnEiGu/SsZY0dMgukqJs5Ln1wyy0kKs4LIVCbCityNlUpax/l9jwUSsvmlYkevSQqw1gyz+t01ERERERLQxnut/dAHPhfJP0anu9pHRDmLcRURERA/McQQLi8D9+zrkmp0Dms3+qVz1ur4M6Bf9i0VgfEyfFgr6OiKizRIR3L37Lq5MXcSVqYu4du0P0W7XN/UcxdIozp37OCYnL+Dc5AUcOXJmew6W9h4RFGQBg94NDLnX/elcAluayMoKct4yslKDggdHZdFSg2gZp9BWZYjiX1xEB4njurizuITpMOCaxczcHG7OL2xpxFXO53HGn8Q14U/iOjM+hhFGXHtLZIWhlxJh1Rv9D1lcApxmPM5aVUqQpfzwyQqCreQ0rAcIspLRlWmmx1immR5kRe/HiVhERERERERbQAQQF/AcwHUAz4Hy9Gn0I3md8rz+p1KAMmwgm0f42z90oDHuIiIiog1rNgWzs3oy1+wsML8AuK7A89/kqNd6QVcwlSufA0pFYHxcT+XKZvk9JhE9uMXFG7gyddGfzvU11Gpzm3p8JlPE2bPfi3OPX8Dk5AUcO/YEDMPYpqOlvcaUDsreLQy51zHkXY9M56ogLyvIyTJM6fjTuQawYpxESw3BAf/yIjoIHNfF7cVFTM/O4frsrD+Raw435+fRDb553QKDhUJsleIZfyLXcLHIiGunSGJaVhBqBeeT07QSp6tOzFJAo9l/tWUCmWwvxDJWC7PWibKU0jGVmYixoiFWX5SVDLL8U/63RkREREREtI3Ei0Va6VFWSriV8vOmGAZgWOGHGBZg5XqXTf+62IcJKAU7lwPMDLyh0zv/z4B2FOMuIiIiSuV5gqUlf73inA66KhX9XWen40/kagC1mp7KJcKpXES09eq1BVy58hqmpi5iauoiFhdmNvV4w7Dw6KMv4Nzki5icfAmnTj8Py8psz8HS3iOCnCxjyLuOIfc6yt4dKHiwpKlXLUamc3VVDk01jKYxhI4qcToX0T7muC5uLSyGqxSnI5O4nC2OuCb86VtByDUxPoYhRlxbJlxfGJmi1RdjrXJ+NeH6QiMSYtmJMCu64tCIh1m5lCGh5TIwPNALsqxEjJWMs8IPIx5wcUIWERERERHRDpPgB8puL8By06Zp9dYiwuuuOk0LiQhLIpEWDAuemYy0LP3DYN9zKcDOA1YWYuUBO6efy/JP7Rxg5WEcGQeKR4B6e50x0rTfMe4iIiIiAECrJZid82OuWWBuHuh2BSJAs9lbr1irA92ufkw2qyOu0VE9nYtTuYjoYXXadVyb/iM9mWvqNdy58/amn+ORR57E5ON6zeLExEeQyw1sw5HSXqXEQdm7jSHvBobdGWSl4k/nquqgS5ZhSTsynesUWmoQjsrt9qET0SZ1HUdHXHNzYcg1MzuHmwtbG3ENFYuYGB/Do+NjOubyJ3ENFYtb9jkOPInEWclYKxlnRS6v9rp0LMIKQiy7t9IwWGsYPQ3un/p86EVZfQFW4mMwJe764JPA+BB/ECIiIiIiItpVIpEgS4dY4fSstdYgpvzwKUoBpq1/WDT0qVjF2HQtMa3wtvA05Rd2xMr0Iq3IKew8xMoCln8auQzTXvcNN6UU1NCQf6n98P/8aE9j3EVERHQIeZ5geVlHXPf9oGtlRX/z2u0CjUZvMlejod9gUUpP4hoe1kFXsQDY9u7+OYho//M8D9eu/TG++53fx7ff/X1cv/6ncN3upp5jeOQ0Jif1msVz515EaWBsm46W9qqM1PxVizMYdG/BgANT2sjLMnLeig684MFRWbTUEFrGINpqgNO5iPaJruPg5sKCH28F07jmcGthAW7Kb8o+qOFiUa9RHB/DRLBS0Z/ERRGJUCs1zopcH8RcaaJTtAx/ipVlRaZqRSZoRSdtpQ23ClYaRgMty0oPtNKu3+jELM/svx8ntREREREREW2hcJrWKisOXQeQ/glbyuv/RS9RAJTZm5JlWjq2MgrxUMu/rTdNq/91Q1FKr0u0chA7PkWrf6pW7zodfRE9HMZdREREh0C7LbH1ivPzQKcTmcrV6E3m6nT0Y2xbR1yPHAMKRaCQ12+oEBFthdnZKVy+9GVcvvRlLC3d3NRji8UjOHfu45h8/CWcm7yAI0fObM9B0t4lHkoyiyF3BsPedRS8eUAEWakhJ8vIyTJsaUKU8qdzndTTuZDjiEmiPazjOLg5v6Ancd3XqxSnZ2dxe2FxSyOukVIpXKU4MT6OR8fGDnfElRJq9UVaiY80YYzlfwSRlhGJtFTiclpPZSj9erpl9k6jMVbaectfh8iVhkRERERERHtMOE0rWGvYPz1LhZO1eqsPVcpvCYlS8XWGpgWxUiKtZKiVNk3LtBJxlj9NK2WKVnAZZoavLdKuYdxFRER0wIgIVlZ0yDU7q2Ou5WU9lctxehFX31SuPDA0qKdzFYtAJrPLfxAiOnDq9UW8+cZ/xOVLr+DGjUsbfpydKeCxsx/FuckXMfn4Szh27AkYrE0PHVM6GPRu+BO6rsOWJgzphqsWc7ICQ1y4ykZLDaFinEBLDXI6F9EepCOueX8CV2+d4u3FrY+4JvzpW2cik7gGC4Ut+xx7VTBFy40GW+4mYi2VCLNMwLLjYVYy3ErrqoIAKwy0ErGWZcUDLcvSARgjLSIiIiIioj1IvHC9oY6yuv4Pm+tM2OrfeggxzPjKQzMDZKz0UCuItVabpmVm4jFWYnJWcDk2WctgKkP7C/+LJSIi2uccJz6Va3ZWT+oC/Klc9d5krra/cptTuYhopzhOG99+93/g0qVX8J1v/48NrVw0DAunT58PY67Tp8/DslicHkZZbwVD3nUMuzMoe7eh4MGWBnLeMvKyjIzUAQg6qoiaOoamOYguivwNOqI9ot3t4sb8Qi/imtNrFW8vLMKTlFd2H9CRgQFMjI/hUX8S1xl/Elf5gEVcfcFW8nIk3ur7xxusNjTjsZa5SqylUn42CKZxRWOt6GXTAuwg4PKv47pCIiIiIiKiPUgEEDcWYSWnaaVP2EqbpoX4NC3D0gFVZHqWl7hdrz3s/8FTDLM/xlol1ApXHlrZ9B9iiQ4Yxl1ERET7TL0uYcQ1OwcsLACeJ3BdPYmr5k/majQA19Xvb+fzQHkAKB7TUZdt831vIto+IoLr11/Hpde/hG+++VtoNpfXfczRo+/D+97/fTh37kVMnP1e5HID23+gtPeIhwG5hyH3OobdaeRlCUo8ZKUSTuiypA1PmWirMhaNM2ipIXjK3u0jJzr0HNfFe3fv4s3pGbx781a4TnErI66xchmPjo1h4uiYDriO6pBrIJ/fss+x4yQeZ7mJCVvR21KDLaMXaFlWL94yjXislfaLHIahYyxrgx+mwR8giIiIiIiI9hzx+qMsd+1IS6897P95XQwjHmkZenVheNlMTNMy/B9E09YeWlnAyiairMiKQysbrkIU/zIMvnlFtBrGXURERHuY5wmWlnoTuWZngWpNf8PdbsdXLDab+jGWpVcrHh3XIVehwKlcRLQzFhZmcPnSl3H50iuYn59e9/6l0hiee/7T+OjH/l84efIZtNttyBZGALQ/GNLBoHcTw+4Mhr0ZWNKCKZ3eukWvAgUXjsqipYbQNIbQVgP8jTyiXea4Lqbu3sOb09N4Y3oGb12/gUYwJvYhjZXLOBNM4fLXKT46NrqvIi7xI63olC3XTT+fFEzWMgw9/crfUBELtsxVpmsFIVYQbdl2/3WWzViLiIiIiIhozxHpC7VUdL2hvwKxf5qW2/9UCnqFoWmHqw/FygJGqXfZMCGR21edpqVUPMayI1O0/BWHycuwcnztjmiLMe4iIiLaQ7pdweycjrjuzwJzc0CnIxDRk7iCmKtWBxxHPyaXA4oFYGxUx1zZLH+xgYh2TrO5gre++Z9w6fVXMD39R+ve37JyePKDn8L5Fz6Hxx//M7AsG7lcbgeOlPaSjNQw5M5g2J3BoHczdd2iKKCDIirmI2iqITjI8y84ol3keh6m7t7FG9MzeHN6Bm/NXEf9IWOu8cFBP97Sk7gmjo7j0bExlPbw3wvJaMv1EhGXf16S0Zby4yw/0spk0oMtw0DfLzxb/gpFOxlr+dcFt5kWYPDr5LYr5TL45S/8+b7riIiIiIiIQiLrrzh0k9O0nPRpWkrFVhzqtYeF2HQtSdwOw0LqNC3T7o+xrBxg+xO1IpO1gsswOU2LaC9g3LUFlpeXcfnyZdy7dw+1Wg3j4+M4efIknnvuOZimuePH853vfAff+c53sLi4CBHB0aNHMTExgSeffHLHj4WIiNbWaAju3e9N5lpc7K1YrNWBek1P5arX9c8ChqEncR05ooOuYlG/sUNEtJNct4vvfvf3cen1V/Dut/4rHGf9N/fPPvZRnD//Mp56+oeQz5d34ChpTxFBQeYx7E5j2JtB0ZsDRJCVCvKyHFu32FKDqBnjaKlBrlsk2kWu5+HK3Xt4Y3oab07P4JsPEXMdDSOu8XAi16NjoyjupYhL+kOt2OVVoi2l4qsQrWwv0orGXMlfWDZUL8qKhlthwGX3Jm0ZnLC1p+SzNn78Bz+824dBREREREQ7xXP9j2ByVjdcbRi/zgVc/1QcqJQFBWKY8bWHVgYwUkKtaKyl+nsDUUr/AJoSY4mdDLeC81k/+iKi/Yj/9z6E6elp/PIv/zL+4A/+AN1ut+/2sbExfO5zn8OP//iPI5PZ3t/ga7Va+Lf/9t/i13/91zE3N5d6n9OnT+Pzn/88fvRHf3RXojMiosNORLC8Atz3Y67794FqNb5iseZP5mq19GMsCyiVgOPHdcyVz3PFIhHtDhHB7VvfxKVLr+CNN34T9dr8uo8ZG3sMz59/Gc+f/yxGRk7vwFHSXqLExYB3ByPeNIbdaWSkBkMcf93iEnKyAkNcOCrjr1sc5rpFol3keh6u3LuHN6dn9JrFmeuoBd+UbsKjY6N4/uxZPHHqJE6PHsGjY2MoZLPbcMQbJICXnLblpp/GJCZtbTjaMvxIKzFpK7wuMmVLpfwWNREREREREW0TEUDc3qQst3+aVuqErb4fGP21h4aVCLVyQLYUXvbC24LVh6usPTTM+KQsK+sHWinhVuQ+nKZFdLgokZTZfrSu//Sf/hN+/ud/Ho1GY937PvHEE/jVX/1VnDx5cluOZWZmBl/4whcwPT29ofs/99xz+Cf/5J/g6NGjD/V5l5aWHurxREQPQimFoaEhAHpy4l7+a8x1BfMLvZhrdhZotfSKxWazF3LVavEVi6WinshVLOp1Lfz+nIh20/LSbVy+/BVcuvQlzN5/b937FwrDeObZH8ELL3wOp04/D7XOFzGlVLiWsdVq7emv67Q+UzoY9G5gxL2GIe86TOnAlLaezuUtIStVKAg6qugHXUPoosC/7Ih2get5uHrvPt6cnsYb/mSuB4m5To+O4tmJM3ju7ASePfMoRgcGYPmjZR3HwbZ+VU+btuX2T9xK/tViROKs4NQ04+FW8hcqDOWHWZnIlK1EsGXZ+nkYbRHRgaEQ+159e7+oExHRtuPXdTpIxOuPsty1Iy14bvraQ8OIR1qJaAtmynWGidS1h1bWn5qVPk0rnKgVWY0Ik5Pr6cHsp/dMD6Ph4eEtfT7GXQ/g1VdfxRe+8AV4kUr3zJkz+PCHP4yhoSHcuHEDX/3qV/U3Rr5z587hS1/6Ekql0pYey61bt/CZz3wmFlrZto2PfOQjePzxx2FZFq5fv47XXnsN9Xo9vM/73/9+/MZv/MZDHQ/jLiLaDXv5G5VORzA7q0Oue/eBuTkdeHlefCpXva7feFLKX61Y8mOuAlcsEtHe0GpV8c7b/wWXXv8Srl792rpfa03Txgee+AGcP/8y3v+B/wWWtfGptYy79j9b6nrdojuNQe8WFDzYUkfeW0ZelmBLA6IMtNUAmmoILTUEV+3iFB+iQ8rzPFy9fx9vTM+Eaxarzeamn+fU6BE8e+YMnj87gWcmzmB0YCB2uwK2JO6SyLStMNZKCbeSnzwMtZLxVuR89PV3BR1lZZKxVuKD0RYRHUqMAIiIDhZ+Xae9SKQv1FKRyVqrT9NK/kDoT9NSpo6lVgm1xExGWqtN0zJWWW2Yg9j+dK1wypY/ScvKcSI97ai9/J4pMe7adbOzs/jUpz4VhlJKKfztv/238aM/+qMwIr/Wubi4iJ/5mZ/Bn/zJn4TX/fk//+fxK7/yK1t2LK7r4rOf/Sy+9a1vhdc999xz+Ef/6B/h1KlTsfsuLy/j53/+5/F7v/d7W3Y8jLuIaDfspW9UGg0JQ67794HFRb22zHH0NK4g5mo29c8npulP5fJjrgJXLBLRHuJ5LqamLuLS61/CO+/8Lrqd9SfUPvroh/D8C5/FM8/8MIrFkQf6vIy79qect4QR9xqGvWsoebOACLJS0RO6ZBmWtOEpCy01iKYaRksNQhRXwxPtJM/zcO3+LN6Ynsab0zN48wFjrpNHjuC5iTN4bmICz048itFyec37byTuioVbbnq8ldx6oYyUSVuJcCv5vbVp9uKstHgr469MXG/KJBHRocUIgIjoYOHXddpuIuuvOHST07Sc9GlaSoVTs1YNtRK3w7CQOk3LtONxVhhsJdYdRlcjmjYnzdOet5feM6V+jLt22d/9u38X/+7f/bvw8k//9E/jp37qp1Lv22638SM/8iO4evUqAP0/12/+5m/iiSee2JJj+Z3f+R387M/+bHj5sccew1e+8hUUCoXU+3ueh5/8yZ/EV7/61fC6L3/5y3j66acf6PMz7iKi3bBb36iICKrVXsh17z5QqejP3W73JnPVavoyoFcqBjFXqQhkuQKdiPagu3ffxaXXv4Q3Ln8Flcr9de8/PHIa589/Fs+ffxljY4899Odn3LVPiKAk9/0JXdeQl2UocZGTFeRlCTlZgSEOHJXV6xbVENpqgL+tSLSDPM/D9Ows3pie0WsWp2dQeYCY68SRETx3xl+zOHEGY+vEXH0EUMqC6wraXReuu8FwKzppK2XaVvTLiQ7I/BWJKeFWJpy2xW++iYgeCiMAIqKDhV/XaTPEi03OSp+eFbnsOoA4UCn/XYlhrhtlxcIt09ITuJLPo5Q/Ias/xgrWHvZP2sr60RfRwcO4a29j3LWL5ufn8YlPfALdbhcAcPr0afzu7/4ubHv1Pbjf+MY38GM/9mPh5T/7Z/8sfvVXf3VLjucv/aW/hDfeeCO8/K//9b/GRz/60TUfc+/ePXzyk5+E4zgAgE984hP4tV/7tQf6/Iy7iGg37NQ3KiKCpSV/xeI9HXM1GvpzNZu9kKteB/y/FpDP9UKuYlHHXUREe1Glch9vvPF/4dLrr+DunXfWvX8uV8Yzz/4FPH/+ZZw58+HYxNqHxbhr71LiouzdxrCnVy5mpA5DusiLXreY9SpQ8NBVBTTVMJrGELoosGQm2iE65prDm9PTOuaauY6VxvpTF5NOjIzg2chkrvHBwVXvm5y45QWTtxLhVvD3hOd5MBLTtkx/wlY05op+2VDKj7Qs/f20bfunkZjLtgGDX2tol8yv1HH+J+Kv7V36F/87RgeLu3RERNuIEQAR0cHCr+uHkwggbizCSkZa6eGW1/9UCn0rDZOhVnK61uprD834pCwr6wdaKeFWEGxZ/A16oijGXXvbVsddzFQ34X/+z/8Zhl0A8PLLL68ZdgHA937v9+Ls2bO4du0aAODVV19Fo9FYdbrWRtVqNbz11lvh5RMnTqwbdgHAsWPH8OKLL4bTu77+9a+jUqmgvNnfxCUiOmBcV7C4qCOuYDpXuy0QARqN+JpF19U/PxQKwMiwDrmKJcDitiki2sM6nQa+9c7v4dKlV/Ded78Kkf4XaKIMw8T73v9JnD//Mp548gdg2/kdOlLaTYZ0MOTd0BO6vBmY0oEpbeRlCXlvCRmpAQrooIQV8ySaagiuyu32YRMdCiISTuZ60/94kJjr+PAwnp04g+fPTuCZM2dwdMiPuUQHWp1OerTlrjNxK2MDRk6fz2YUTFPpv2sS4VZ0ylYmE5+2lclwTSLtfQJgodLou46IiIiIaNuJ58dXLuB1Ac/VUZbbDa9TkdvC+6StPTSM/kjLyvUum2mhlonUtYdW1p+alYyy9OVwolZkNSLMtd9jJyKiOMZdm/D7v//7scuf+tSnNvS4H/iBH8C/+Bf/AoBe1fj1r38d3//93/9Qx/Kd73wHruuGl5999tkNP/b5558P465ut4uvfvWr+At/4S881PEQEe03jiOYn+/FXLOzQLcr8Lz4isVGI5g+oCOu8TGgVNJh1xYOriEi2hae52H62h/i0uuv4K23fhvtdm3dx5w8+QyeP/8ynnvuL6I0MLYDR0m7zZQWht0ZjHjXMOjegAEXtjSQ95aQlyXY0oAoAy1VxpJxBi01BE/xBTii7SYimJmdwxvT0zrmmrmO5Xp908/zyPAwnps4g2fPTOCDpx/FaGkoFm8tLPamcUULFWX0pm1Ztl4xnlydmDZxK2MDxaKJTAYQUbBtQSajr2e4RURERERE5PPc1SdnBSsO+9Yiun1PIwp6hWFkgpZYWcCw9Q9vhg0xTIjZu6xHKK+y9tD2p2iF07QilyNxVhBrwcqlTuYiIqKtxbhrEy5duhSeHx0dxalTpzb0uOeeey52+U//9E8fOu5KrkQ8evTohh87Pj7edzyMu4jooOt2BbNzvRWLc3N6Wpfr+hO5an7M1dRTii1Lx1yPHNMxVz7Pab9EtH/M3p/CpUuv4PLlL2N56da69x8cPI7nz38W58+/jKPH3rcDR0i7zZY6RtxrGHavoezdhhIPGdT8oGsZlrTgKQstNYiKcRwtNQhJedGPiLaOiOD63Fw4meuN6ZkHirmODg7hqdNn8NTJCXzgxBkcKQ3BdaHDLQdYXgageqGWZQJmJr4q0TTjr80r6MArY+vViJnI1K3gOjsItxSQy+mvF61W13+ngYiIiIiI6AALVh+6jj8tq9sLs1z/ciTagutApUzVF6Xik7JMC2IVYtO1JHJbeL+0aVqm3R9nBWGWHQm0wst5PU2Lb4QQEe1JjLs26P79+6hWq+HlD3zgAxt+7BNPPBG7fPXq1Yc+nlarFbucyWQ2/NhsNhu7fOXKlYc+HiKivabdFtyf1esV790D5hcAzxM4Tm/FYq0GNJv6/ratI66REX2a5ep2Itpn6rUFvPnmf8Sl17+EmzffWPf+mUwRTz39v+H8+Zfx2LmPwTAY7hx0WW8ZI941jLjTKHn3ABHkpIK8LCEnyzClA1fZaKphNI1H0VYD/M1Lom2kY655vDk9HQZdSw8Qc40ODOLJExN48sQZPHHiDMbLw3qyVhBrmYhf9idvRVlWPNwKViaG4ZYNGPzmmIiIiIiIDguRyMSsrp6aFYu1HCj/+vByYvWhKPjxlQ2Ydm/toT9BS/yJWtEJW30/rMEPvsyMv+4wJc6KrEGMxlw6+iIiooOCX9U36Nq1a7HLx48f3/BjR0dHYds2ut0uAGB6evqhj6dcLscuVyqVDT82ed/kn42IaD9qtwX37wN3/clcCwv6DbNu14+5/KAraGMzGR1xjY0BpaK+zPeriGi/cZw23n33v+PS61/Cd779f8PznDXvr5SBycmXcP6Fl/HBD/45ZLLFHTpS2hUiKMg8RtxrGHGvIS+LUOLGgi5DHDgqi4YaQdMcRgcl/oVItE1EBDfm58OpXG9Oz2Cxtv663KQjpUE8deoMnjo9gWfPnMHxkWEdcEXiregvbZtGyrStTDzgMgz+f09ERERERAeYeL11h+EUrW5k3WHXvy2IudxVYi3bn5qVjLUseP6pjrnSJ2qJYQCWH2PZ+dh6w9Rwy8rpUIu/fEdEdOgx7tqg+/fvxy4fO3Zsw49VSuHo0aO4detW6nM9iORqxc1M35qamopdXllZQaPRQKFQeOjjIiLaKc2m4Pp1wZ27gnv3gMUl/YZZpxOfzNVu6/tns8BACTh6tBdzERHtRyKC6zN/ikuXvoRvvvlbaDZX1n3MsWMfwPkXPofnnv80Bgcf2YGjpF0jHga8uxjxrmHYnUZWqjDEQU6WddDlrUDBQ1cVUFNH0TSH0QV3DxNtBz2ZawFvXJ3GGzMz+ObMDJbqm4+5RgfKePbMBJ6bOIPz5ybwyPCQXn8IwFDpsZYdOTVNQKWs6CAiIiIiItqX+lYgOimxVnLKltv/NEqFYRYMC2JmgEwhDLS8INCK3GfVWMvO+xO0/FM7cWrlAbvAtYdERPTAGHdtUKPRiF3ebAhVLPamIjiOg3a73bcecTMef/xxlEol1Pzf8n3zzTextLSE4eHhNR8nInj11Vf7rn+QuEvxmw8i2kGtlo647t0XLK+0sLDgodUStNsSm8wVxFz5PFAu6+lcpSJg2/yaRUT72/z8NC5f+jIuvf4KFhbWnwQ7MDCO557/DM6/8DKOH//gvvnebb8c516ixMGgdwsj7lUMuTOwpQkTHeS8JeRlGVmpACLoqBIq5gm01DAcles9fhePnWg/EwFcF3A9feq4glvzC/jm9Rm8fWMG79yawVK9uunnHSuX8dzEGTx39gy+Z3ICjx4dRjarkMmo/nWJ/e8t7LpoSKagIErWuDfRPpT2/5xa5XqifY5f04mIDpY9+XVdxJ+q1ZucpaLrEN3o5SDWcqGQcuzKhERDLDsPyQ744VY04grO969AhGH3JmfZBcDOxaOtRLwFc2MrQfitIhFth+hr6Xxd/eBj3LVBybhrs2FW8v71ev2h4i7TNHHhwgX87u/+LgCg0+ngi1/8Iv7m3/ybaz7ud37nd3Djxo2+65N/vo0YGhra9GOIiDaq2RTcuevizh0Pt+94WFjwAOjIq1p1UK16qFRNdDr6Z6d8XmFsVGFgQKFUUoy5iOhAaDSWcPnyf8Sf/PG/w7Wr31j3/radw9PP/G/48If/H3jf+78Pprm/vt3P5XLr34kAAKa0UXamMeRcw6AzDVO6MKWJHJaQl0XYUgcAtI0yqsZZtIxheKo3tnJ//ZdBtPNEgmhLdMAVfHj+ZUffdm9lEe/cmsa3bk/j3VvTWHyAmGt8sIyPfOAsPv7kWbz0zGOYPHUE2az+ftbY55s3srkHf92DaK/KtfrXYOeyWX4fQwcev6YTER0s2/F1XZITtdz49KzeafT2rn5ckjLD1YbKsgEjpy+bdnyalmmHaxBTwwYrB2TyUHZBT86y80BGT9FSkfPwYy1lceUHEe1Pg4ODu30ItM34mv4GtYNRMD7btjf1+Exi/1fy+R7EX/2rfzWMuwDgi1/8Ip5++ml8//d/f+r9v/Wtb+EXf/EXU29rtVoPfTxERA9j7ZhLUKl6qFYljLkKBYWREQMDAwoDJQXLYsxFRAeD63bx7rf+B/7kj/8d3n77v8BxOus+ZnLyAr7nI5/Hs8/+MPL58g4cJe0Gy6tjyLmGIecqBtybMMSFLXXkvEXkvEVYXhOiTLTVIOrmMbSMIYjij3xESQLAC4MtiUzfioRcnn9HnzIAwxDMVRfxrVszePvmNN66Po35amXTn//YyAA+8cxj+MRzj+ETzz6Gx44f4W9XEhERERHRniIikWlZvfWH+jdduolJWr3T9FDLCGMsZdr6fCbfi7IMuy/aUmm/6WJmdIAVTM0K46x8yvUFwMqnPw8REdE+xFf6Nyg5Zavb7W7q8Z1O/E25h5naFXjqqafw+c9/Hv/+3/97AHrd40//9E/jM5/5DD772c/i8ccfh2mauHHjBn7nd34Hv/7rv45mswlAr4ms1+vhc212JSMALC8vP/SfgYgOr3Zbr1m8ew+4e1ewuNS7vhqsWawhMpkLGCjpNYtHjuRgWSoMUx1HfxAR7Vcigps338Dl11/BG2/8Jur1hXUfMzZ+Di+88Dk89/xnMTJyKrx+P0b7waSL/Xjs2y3rrWDYncaIdxUl7x6UeMhKNVy5aEobnrLRUoNoquNoqzJEmTpKcQGAf0HS4SIAPH9NohdZmeh6kaArGW4pwDT1Rg7TBLKWf1kJ7lWW8PaNabw5PYM3p2cwW3mwmOvFp87gxacmcOHpCTx2fCQWc23FL3/tJQoqnALQbrUhaetSiPaxVsr/s612G60WX2alg4df04mIDgjx/HWHLjKWAXgOOs1GL9iKrkJ0eysQU38FRZkQwwqnaumPPMQa8OMsS0dbhqXvZ1hIHUlsWBBLrzzUKxBzgJXvnVrZyG36FOYGB284AJwugM29l0tEtN8opcKJXSsrK+mBLe2ard6Ex1cdNigZP232xdfk/YvF4kMfEwD8nb/zd3Dr1i289tprAADP8/DKK6/glVdeWfUxn/70pzE3N4eLFy+G15XLm5/wwC8ORLQZ7bbg/ixw7x5w5y6wuKi/jnQ66Iu5AKBQAIYGdcxVLAGWqa9XKj6li1+LiGg/W1q6hTcufwWXXv8SZmen1r1/oTCC5577izj/wss4eeq5MA7Yz18Lk9Nq9vOfZUuIIC+LGHGvYcS7hoI37wddK8jLMvKyBEMcOCqDphpG0xhGWw3oOoXooJNIpOX1B1veKuGWYQKmoYOtTEa/r2BGrlP++wwigrtLS3jr+gy+eX0Gl67O4N7SyqYP8+hwCS8+NYEXnzqDC09P4FzaZK4D/KVOVO8PJ5AD/WelQyrtv2lZ5XqifY5f04mI9hgRP9Tq6h+AvC6U5/pTs9zw+jDUCsMtVz9eAWLpt4YNx9G/HGba+ocmw4aYOcC2wkjLM6IBl/+h+kMtMUzAzutYK4yxsvFYy/Zvs3KAndMB2GZfyzjsrxkREa1BRPja+gHHuGuDknFXdOrVRkTvb1nWlkzuAvS6x1/7tV/DP/7H/xj/5t/8m74JYVGWZeHHf/zH8ZM/+ZP4zGc+E15vGAZKpdKWHA8RUaDbFdy/70/mugfMz/dirlqtF3QFX7by+fSYi4jooGm1qnj7rd/BpUuv4NrVr6/7A5dpZvDEkz+A8+dfxvve/0lYVmbN+9M+JIKS3NcTutxryMkyDHGR82OunLcCBRddlUdNjaNpDqOLAoMuOlikN2XLS5yG8dYa4ZZlAkamF2yZhv/+ROJ9B9sCbBuwM0DGBu6vLOFPr8zgj787jW+8O4Nb85uPucaHSrHJXJMnuGaRiIiIiIjW4U/Tik3KSouywpDLvy7ldSRRKjI1y/KnYhV65/0PZdqwCkXAsOB23PTDMm3AzkEsHWgFp2G8Fb1tsxO1iIiI6IEx7tqgo0ePxi7fv39/w48Vkdj9k8/1sEzTxM/+7M/iL//lv4zf+q3fwte//nXMzMxgeXkZ+XwejzzyCF588UX8yI/8CB577DGICG7fvh0+/uzZszC4c5qIHpLjCObmdMh1566OuVxX0O3GY65gkGE+Bwz6MVepCFj8G4mIDjDXdTA19Souv/4K3nnnd9HtNtd9zKNnvgfnz38Wzzz7wygUhnfgKGlHiYeydwcj3jUMu9eQkToM6SIvS8h7S8hKBQqCjiqhYj6CphqGo/K7fdRED0Rk/WlbXuJ9heiqRMsCsubqE7cClqWDLdvWE7rsyPng+lvzK3jt7WlcfGsar709gxuzy5v+84wNFXuTuZ6awOMnRxlzEREREREdViKxIKsXacXDrP5wy+t/KoXIlCx/mpaVjU3OCkKt2FpE1f+b0qJUb3pWZMWhMTwKWDm4bQeeqW/XwVZO39/gC/VERER7Ef+G3qDHHnssdjkaR61nfn4e3W5vr/PZs2e37Liijh07hi984Qv4whe+sOb9ZmZmUKlUwstPPfXUthwPER1sriuYXwDu3tUf92f1dY4TWbNYBVp+zJXLAQMDwPFHdNDFmIuIDoM7d97BpddfwRuXv4JqdXbd+4+MPIrzL7yM589/FqOj2/M9I+0eJQ4GvVsYca9h2JuGJS2Y0g6DrozUAAV0MIAV8zSaagiu2pqJv0TbJRZuRadtRSKu5HsWyugFWpYNZP3z0XgrGW4lJ25FA67gsmH0B1Y3Z5fx396YwcW3p/Ha29O4fn9503/G0cFibDLX+xhzEREREREdPGGk5a46Sas3TStl5WHy6Qz/t1UiURasXO+y6V8XCblgmAD6f9YQ0/anaOUiIVZ8zaFELwehVuLnFqUUjKEhAIC3vMz1XURERPsI31rfoPHxcQwMDKBarQIAvv3tb2/4se+++27s8nbFXRt1+fLl2OWnn356l46EiPYTEcHCYi/mundfr1503fhkrqY/jCabBQZKwLFjOuayOZmZiA6JlZW7eOPy/4XLl76Mu3e/te79c7kynnn2h3H+/Ms4M/FhBgMHjCEdDHk3MOJew5B7HSY6sKSJvLeEvCwhI3WIMtBSZSwZZ9BSQ/AU/9KkvUG8+HSttHgrNdwKViXa+nvC6JrEZLil4E/cyqTEW/5l20oPt9LcmotP5pq5v7TpP/eRcqE3mevpCbz/1Bi/NhNRqJC18XOf/0TfdURERLRHbCjSctNXIKY9nWH0BVhpKw/jE7es/t9YCZ7LD696aw/9KMvuj7P02kNO0yIiIiLGXZty/vx5/MEf/AEAYGFhATdu3MDp06fXfVwypvrQhz60HYe3Yf/5P//n8Lxt2/jUpz61i0dDRHuViGBlpbdm8e5doN0WeB5QrwPVqg66mk3983ImoyOu8TF9msns9p+AiGjndNp1vPPO7+LSpS9j6r0/gEj/aP0ow7Dw/vd/Es+/8DKeeOIHYNu5HTpS2gmmtDHszmDYu4Yh9wYMOLClHgZdtjThKRMtNYiqcQwtNQRJWaFAtG0E8FZZlRiNt5Jfyowg0DJ1eGXm4tO2DDP+i+EKvdWIqdFWMHHrIcKp2/MreO3tGT/mmsb0vc3HXCPlAl78YG8y1wdOM+YiotUVcxn8f/6f37fbh0FERHTwibdKpJUyOWvTkZYfZsUiLTMRaVmrR1rhysPoxKxsLNKKhVtBsGXafdO0iIiIiDaCcdcmfPKTnwzjLgD4r//1v+Kv//W/vu7j/tt/+2/h+Ww2i4997GPbcXgbcvXqVfzRH/1RePn7vu/7MDIysmvHQ0R7S60muHsXuHMPuHMHaDQEIn7M5U/mqtd1zGXbOuI6ckRP6MpyaxQRHTKe5+Ha1a/h0qUv4+23fhvtdn3dx5w89SzOn/8cnn3uR1Aqje7AUdJOsaSJYXcGI+5VDHo3ocRFBr2gy5IWPGWhqYawYpxEW5UZdNH2ED/Q8tLjreB8cvtGMFXLNIFMtnfeiJxG34MwVCTciqxITE7c2upI6s58RU/meltP5rp2d3HTzzFSLuDjHzyjJ3M9pWMuw+h/w4aIiIiIiB6SiB9pRQIsSQuy0qKt9F+c60VavUlZDxVpmZnE5KxsYoJW9LosYOf1YxhpERER0Q5i3LUJ3/d934df+IVfQLfbBQB8+ctfxl/5K38F9hq7xr7xjW9geno6vPzSSy+hUChs+7Gu5u/9vb8Hz/+G2DAM/LW/9td27ViIaPe1WqInc93RE7pWVvS7fI2GH3NVgVpdv0FomjrmOnEcGBjQMRd/fiWiw+j+/fdw6fUv4Y3LX8Hy8u117z84eBznX3gZz59/GUePPr4DR0g7xZIGRtxpjLhXUfZuQYmHrNSQl0XkZQmmdOAqG001jKbxKNpqIPXFZKINk1WirUS8hWi4peIrEW07EnJFrkcy3IpM2orGW8F1lg0obP83g3fmK/jaO73JXFcfJOYayONjkclcTzDmIiIiIiLanDDSWi/Iil+G50KlTDcXBUCZ8UDLsHRMFbm84XWHsUlaydNVIi1/uhZf5CYiIqL9gHHXJoyOjuLll1/Gb/zGbwAAbty4gX/5L/8lfuqnfir1/u12G7/4i78YXlZK4Sd+4idWff5bt27hk5/8ZHj5xIkT+P3f//0tOnrgl37pl/D1r389vPz5z38ezzzzzJY9PxHtfd2u4P59HXLdvgMsLur1i62WnsoVrFp0XT2doVQEjh3Tk7nyef6cS0SHV602jzff+E1cuvQKbt18c937Z7NFPPX0D+H8+c/i7GMfZ0RwgNhSx4h7zQ+67gDiISsVFGQJOVmCKV04KuMHXcN+0MW/QGl9EkzcSqxGjE3cSgu3IhO3bDu+IjE4jTKN3krEtDWJGRswrZ0Jt9LcXajgNT/m+trbM7hyZ2HTzzFc0jHXhacncOGpM3ji0XF+HSYiIiIiCnhuSpTlpERa3fhKxOT4X/iRVmJCllgZwIhO0tLTtPoirZSfOcQwUlYaJoIsM9s3ZYuTtIiIiOigY9y1ST/+4z+O3/qt30K9rtfu/Oqv/ioKhQJ+9Ed/NPZi8eLiIn7mZ34GV65cCa/7c3/uz+GJJ57Y0uP55//8n6NareLTn/40zp07l3qfGzdu4O///b+Pr371q+F1Z86cwd/4G39jS4+FiPYezxPMzevJXHfuAnNzgOsKut1eyFWtAt2u/tm3UADGxnTMVSjowIuI6LDqdlt4993/hsuvv4LvfOd/wvOcNe+vlIHJxz+BF154GU8++b8iky3u0JHSdtNB11U/6LoLiIecrCAveuWiIQ4clUVDHUHTHEEHRb6oTDEikWlbq8RbyY0jyg+3DBOwLCAbWZEYRFvJ79Usc/WJW2G4Ze6t/zbvLVbx2tszuPj2NL729jSmbm8+5hoq5vDxp/zJXE9N4MkzjLmIiIiI6BAQCadjBSGWCoOs5OW11x3GIy0TMGwdTkWjrdgkLbN3mhZpmVbfhCxZJdoKrzOzgGnz52kiIiKiFIy7Nuno0aP4lV/5FfzET/wEPM+DiOAf/IN/gP/wH/4DPvKRj2BoaAjXr1/HV7/6VbRarfBx586dwy/8wi9s+fFUq1V88YtfxBe/+EWcPn0aTz/9NI4dO4ZMJoOFhQW8++67ePvtt2OPeeSRR/Cv/tW/QqlU2vLjIaLdJSJYXunFXPfuAZ2OwHUjk7mqQKut75/PA8NDQGlAT+kyzTWfnojowBMRzEz/MS5d+hK++eZ/QqtVWfcxjzzyJM6/8DKee/7TKJeP7cBR0k4Igq4j7hUMePegxEVWKomgK4eaGkPTHEEXBb4AfUiJt0a05Z/2hVuRSMuy9brr5MSt5KYR2/IjrTXWJRrG3v9v8P6SH3O9NY3X3pnB1K35TT/HUDHnT+bSQdeTjx6FaTLmIiIiIqJ9LAy1nEiY5QBud9XpWnqaVspTGUYiyrJ76w7NZKRlbTDSyvVHWnY+drl3Pz8KIyIiIqItw++uHsAnPvEJ/NIv/RJ+/ud/Hs1mEwAwMzODmZmZ1Pt/4AMfwD/9p/9022OqGzdu4MaNG2ve50Mf+hB++Zd/GUePHt3WYyGindNoCG77MdedO/qyCFCr92KuZlO/PpDNAqWSXrVYKuk3AomICJifv4ZLr7+Cy5e/gsWFmXXvPzAwjuee/wzOv/Ayjh//4PYfIO2IXtB1FQPe3TDoKsgicrIEQ1x0VQ41Ne4HXdxZfKAJ4EUnbiVXJPqnkgi3jCDQMv1JWbn+iVvR/2wUeqFWNNyKrkq0rf0RbqW5v1TD1/w1i6+9PY33HiDmGizm8LEnH8WFpyfw4lMT+OAZxlxEtHsWqw382b/9f8au++//37+GkYHCLh0RERHtOSKAuIAbhFqRMMu/LhZquQ4g/aGWKADK1NOswmlauV6QZVrw+iItq/83RdBbdxhGWnYuMkkrH5uoFb2NkRYRERHR3sDvyh7QD//wD+Ppp5/GL//yL+PVV19Ft9vtu8/Y2BhefvllfOELX0Amk9mW4/jIRz6C9957D5cvX0aj0Vj1fh/84AfxYz/2Y/jBH/xBKL4BRbSvdbuCu/d607mWNUR8GQABAABJREFUlvRP/c1mL+aq1fWECMvSKxaPHAEGBoDs9nwpIiLalxqNJXzzzd/CpUtfxvWZP1n3/radxwc/+Odw/oXP4dzkBZgmv5U+CCxp4Ih7FSPuFZRXDbryqKljaJrDDLoOCvGnbHlrx1sSfXNF+ZGWH2pZ2d75aLwV/WV3Q/WiLdvqX5EYXH+QfkabXY7GXDP47s25TT9HuZCNxVxPTRxjzEVEe4brCb5zY67vOiIiOsDE8yOsSKgVm6jV9aOtyNQtif/dEIZafpQVC7VMHWV5hh27rMOqlGlaViYWaomdWyXc8k/tHGBw3SERERHRfsZ3pB7C2bNn8c/+2T/D0tISLl++jHv37qFer2N0dBSnTp3C888/D3MTO85OnjyJ7373u5s6hpdeegkvvfQSut0uvv3tb+PatWtYWFhAq9VCoVDA8ePH8cwzz+DYMa4IItqvPE8wP49wOtfsrL6u0+nFXNUa4Dj6jcVSUU/mGhgA8jn+zE5EFOU4HXznO/83Lr3+Cr797n+H63bWvL9SCmcf+xjOn/8cnnr6B5HLDezQkdJ2sqSJEfcaRtwrGPRuA+IhJyuxlYtB0NUwh+EoTuLYV2T9aMv19P1CKr4S0bZ756MBVzLcCmOtVSZuWRagUt6MOUjmVur42tszuPi2nsyVDB42olzI4qNPPooLT03gxacn8DRjLiIiIiLaTuLFp2qFoZaOtJR/fS/mcvufQil/opa/+tDMAJmCf9mGZyamaZk20kOtbCTQysdDLTufGmzpFYpEREREdJgw7toCw8PD+OQnP7mrx2DbNp5++mk8/fTTu3ocRPTwRASVSm/N4p27QKcjcF2gVgMqftDVbuv7Fwu9yVzFgv/GIxERhUQEN2++gUuvfwlvvvEf0WgsrvuY8fFJnH/hc3ju+c9gePjkDhwlbTdT2hh2r+GIewWD3k0o8ZCTCvKyGAm6uHJxr5Ng4pbbO+2LtxLhllK9UMvSm0xiKxKD0yjTjIRadvrELdM8+OFWmrmVOr4emcz17Ruzm36OgXwWH33ydDiZ6+mzx2Bt4hejiIiIiIhiRPrjrEiwpYKQa61YyzD0Dwt+iCVWDsiW9IQtw4L407bCUEv1f/8qpuWHWvnIaT4RbuUZahERERHRpjHuIiLaA9ptwZ27/nSu20C1JhAB6nU9lataARpN/TpFNqtDruOPAKWSnghBRET9lhZv4vLlL+PS669gbu7KuvcvFo/g2ef+Is6/8DJOnnz2QK1JO6wM6WLIu44j7hSG3OswxEFWquHKRVO6cBh07RkikWlbq8Rbnhd/jDJ6cZZlAdnEikTD7A/fLTM+aSst3jJN/ncQmF+p4+vfuu7HXNN49/rmY65SPoOPPtFbs/jMY4y5iIiIiGgdnrtKsJVy2XOgEhtye5O1bMC0UmItOxJrWemxlpXtTc+y8zrWil628r3rrZw/nYuIiIiIaOsxCSAi2gWuK5ib0zHX7TvA/LyeLNNq6alclaqe0uV5+s3JgQHgpD+dK5vZ7aMnItq7Wq0q3vrmb+PSpS/h2tU/XPf+ppnBk09+CudfeBnve/8nYfKF2H1PiYNB7yZG3SkMuzMw0EVGaih4C8jLEkzpwFFZNNQoGuYIuigw6NoB4q2/KjE13Aombtk6cE9O3FKJcMu2+tckRuOtjA0YBv99r2Wh0sDX35nBa/6qxW/N3N/0c5TyGXzvE6f1msWnJvDsuUcYcxERERFRL9jyoywVxlrd+LQtt9s3XUsUYisOxbABOx9e9vyISwdbdupErDDWCidrFSKXI/FWEGtxqhYRERER7RGMu4iIdoCIYGUF4XSuu3eBblfgODrmCoKuble/v1wsAseO6pgrzyEiRERrcl0HU+/9AS69/iW8887vwXFa6z7mzJkP4/wLL+PpZ/4CCoWh7T9I2l7ioezdxqg7hRHvKkzpwJYGCt4i8rIAS9pwlY2mGkHDHEEHJf7luoWCcGutVYmSCLeMSKCVsQEjp89H463ovyIFHXiFwVYk3grWJNoWw60HsVht4OvvXMdrb0/j4lvTeOcBYq5izo+5np7Ai0+dwbOPHYdt8Y0wIiIiokNBpLfyMBpppQZcacGW7U/YsnR8ZZR0vBUEXEGwZdpAYi26GKYfYxUAuxCPs6KX/QlbjLWIiIiIaL9i3EVEtE1WW7VYq+s1i5Uq0Gzq++ZywPCQjrmKRf3GJhERrU5EcOfOO7j0+pfwxhu/iVp1/TVhI0fO4Pz5l/H8+c9idHRiB46StpUIijKHI+57OOJeQUbqsKTlT+hahC1NeMpCQ42gaYygrQYYdG2WAJ6sPW1rtXDLNPX7JplM77xprBJuqfiUrbQ1iZYNGPz3tyWWas3eZC4/5hKR9R8YUcjakZhrAs+dY8xFREREdOB4rh9ldXSgFY20wvOdvpWIvQlbOsgSKwMYxUSw1Qu6+oItKxMJs6Kn0XhLx1wwbf6cR0RERESHAuMuIqIt4nmCuXng9m3gzh1gdq63arHiT+cKVi1alg65xsf0qc0tYEREG7KychdvXP4KLl36Mu7dfXfd++fzg3jm2R/G+fOfw6NnPgTFF333vay3jFF3Ckfc95CXZZjSQV6WUPDmkZE6PGWiqYawYpxCS5X79/aRJv6UrbRVicEULlf/En5I+eGWH29Z2d55IzJ1K/rejKFSJm1FViTafrilwP83t8tSrYk//NZ1vPbWNC6+PY23px8s5vpIuGbxDJ6fPMGYi4iIiGi/8lwdZYVTtjq9qVtuZ40pWwowM2GYJVYpPO+ZNmD0bls/2CpAMoXwfC/YyvuPJyIiIiKiKMZdREQPoVoV3L7jT+e6A3Q6AtftxVzVKtDp6F8gK5WAY8f8VYs5/lIZEdFGddp1vP3Of8Hl17+MqalXIckxQQmGYeH9H/hfcP6Fz+EDH/h+2HZuh46UtostdYy4VzHqvoeSdx+GuMjJEgreArJSAZRCSw1iwXgELTUIUYc8OpHVo61ovIVEuGVGViXa2fi0rSDgioVbxjprEm0dtDPc2lnLQcz19gwuvj2Nt67d23TMlc/a+MgHToWTuZ4/dxwZmy8fEBEREe1paZO2gogrjLY6UF78Z2oxzF6wZWaATDE8L+GErWDKVvRxRi/OyhQjp36olSnEJ2wREREREdED46uzRESb4DiCu/f0dK7bt4HlFb1qsd7wY66KPg/oVYtDgzrmKpX8N0SJiGhDPM/F1Stfx6VLX8Lbb/1ndDr1dR9z6tRzOP/C5/DMsz+MUml0B46StpMhXQx7Mxh1votB7wYMcZGVFRRkAXlvGQoe2qqMZfNRNNQIRB2OH21kjWlb0dMopSKhlqmjq+S0LSPRw5lGYspWYk2i7a9bZLi1+1bqLT/mmsbFt6bxzQeMuT78/iDmOoPzkycYcxERERHtFSLhNC0dbnUi5yMBl+fEH2YY4aSt9GjLn7SV+OUYMW0dacWCrSDWKvaiLYu/vUpEREREtFP4ai0R0RpEBMvLwK3b+uP+fcB1BZ2OP52rAlRrevqFaQLlAeDIER10ZTK7ffRERPvP/XvfxaXXv4TLl7+ClZU7695/aPgknn/+szh//mWMH53cgSOkbSWCAfc2xtzvYsS9ChMdZKSKoreAvCzCEAcdVcCKeQJNNQJXZXf7iLdOZE2i6/avTAxOk4PrVCTQsmwga/RP3EpupjTNlBWJiXjLNPkmzV61Um/hG+/6k7nemsY3r92F520u5splrEjMNYHzj59AljEXERER0c4Tz4+zoqFWPOCC24WKxPuiEFmPmIHY5Ui05V9vZPp+g0OvRvSjrUxi2lbkPEy+qElEREREtNfw1VsiooR221+1eFuvW6zXBZ4H1Gq9oKvV1r+YVigA42M65ioU+MtqREQPoladwxtv/CYuX3oFt259c937Z7MlPP30D+H8Cy9j4uxHYXA04r6Xcxcw4nwH5fY7yHhVWNJCwVtAQRZgSQuOyqKmxtEwR+Cowm4f7qYlp215fsCVvG6tNYlWNr4eMbgt+r2Hgg68wulakY9ovGUa/IZlP6k0WvjGt27oyVxvT+PNq5uPubK2hQ9/4BQuPKUnc73wvpOMuYiIiIi2kwgg7urhltMFvA6Um5y2ZfaiLSsHZMuAmYEXnbRl2ojuSxfD9AOtEiRTDGOtZMjFaIuIiIiIaP/iq7lEdOh5nmBhQU/mun0bmJ3TE7taLaBS0UFXraZfk8lkdMj1yCNAaQCwzPWfn4iI+nW7Lbz7rf+KS69/Cd/97u/DS+6RS1DKwOPv+zM4f/5lPPnB/xWZzP4LfCjOkiaOuFMYc7+Loc4iFBxknFkUvHlkpAZPmWiqESwZZ9BWA3uzoJb0aCs5gSt12pYfalkWkE0EW2lrEg0jPdqKXmfZgLEX/znRplQb7dhkrjeu3nmgmOt73n8ynMz1wuMnkMvY23TERERERIdM6ppEf8JWeL4D5fV+EBAFwOgFWpIt+QFXBmLYgJXRtyVXJNp5fV+7CMkW/bWIOuQKT63s3vx5iYiIiIiItgzjLiI6lBqN+HSuVkvgur3JXJUq0O3qN1JLJeD4cb1yMcvXSoiIHpjneZiZ+WNcev1LeOubv41Wq7LuY44ffwrPv/BZPPfcX0S5fGwHjpK2kxIXg94NjLnfwbA7A0Mc5LCCAW8JWW8Z4rloqkEsGI+hpYYgapcqagE8ScRaq6xKjHmAaVsAYFspwVbGv96fuGWagAK/CTmIqo02/ujb/mSut6bxxpW7cD1v/QdGZCwT3xOuWTyDD73vJGMuIiIiogchsspqxPjl+JpE1Zu2ZWYAu9Bbk2hl9IpE047tSxfDSEzbik7dKvnxVgEw+BYOEREREREx7iKiQ8LzBLOzejrXrdvAwoJ+AabR6E3najT06ze5HDA8pCd0lUr6zVgiInpwc3NXcfnSK7h86StYXLy+7v3L5aN47vnP4PnzL+P48Sd34Aj//+z9eXBc933ne79/5/S+Ywe47ySoXaQoyaIs2bJIbbFly7GzjGccx0qeyTIe+dbce5/M1NSduU/VrZqaspOJ52Ymkj1OJhnHie14iSiJluVF1MZFlCgR4L6TAEEQewO9nt/zx2lsFAGREgEQwOdVxULz4He6f21TQKPPB5+vTLWY10lt+QC15UME7RBBmyXudRKzF3FsiXIgSb+7mH6ToWymOJAyQdvWpaEte0lRkjM2tBWE8Ji/D4e2Ln3N4DiXb9q69I/atuaXgaE8r7ec8pu53jnOm4fPfaAw1x3rFlXGLC7njrWLiIYV5hIRmQ6RYIAnH930nmMiMgtY771jEkuFcW1beEXMmJ8FrONU2rZC2EAYwsnKmMTQxGMS3aAf1hpu2gonxgS2hkcmxvQbpCIiIiIicsX0zoOIzFnZrN/OdfoMnDsHhYKlVBrfzlUq+U0YiQQsWuS3c4VCM71zEZHZb3Cwm7fe+kf27P57Tp3c/b7rg6EYN974CBs2fp7Vqz+Kc+lMOpl1RscuHiDuXcCxRWL2InGvk6AdpGyCZE0dg24NBFMAeLb0oR7TXtqsNUFwa5xL2raCwTGjEce0bo297mLwxykOt2pNFOBS25YM683m+M5Lb/MPv9zHnsNnKZWvLswVDLjcsXbRSDPXprWLFeYSEZkhyViYr//Lx2Z6GyJyqeHg1iVhLTOueas4/hTHHW3cCkYhkobA2OBW6D3NWTYYGTcS0YZGw1sjYxLdkIJbIiIiIiJyTSncJSJzRrk8vp2rq8v/Nbts1g9y9fX57VwA0SjU1PhhrlhM7VwiItdCqVTgQOuL7NnzXVpbtlO+5I3zSxljWLnqXjZs+Bw33vQokUhymnYqU8Z6ZLzT1JVbqSof98cu2l5itpOI1wPGMGQy9DqLyJk0GD/69L4/lAyPSawEtEbCWuXxAS57SV7GVMJZV9O2NRzwmnRMYsD/9yvyft451s7T23by3V/sI5srXPF5wYDLxjULK2Gu5Wxau4hYRL+BICIiIvPUhMGtsbfH/6KIdVwIVBq3QjFwM/6YxHHBrdFfKrLGQDA2fjRiOFEZlzg6MtFv6RIREREREZleCneJyKyWzVo/zHUGzrX57VzFIvT3j45bLJf9C7upJNTV+uMWg3ofRkTkmrDWcvrUm+ze/V3efusfGRzsft9z6hvWsGHD57n99s+SqVo4DbuUqRb2eqkrt1JXPkDIZgnaQeLeBaK2C9cWKZg4Pe4Shkw13iVjFy2VwFYZCoVLmrYmG5M4HNJyIRQe3741fHuitq2JmrZCQXBdhbbkw8kXS/zolRae3raT11pOXdE5w2Gue2/ym7nuXLdYYS4RERGZHz5UcCvsh67cqtHgViXQhbkkuFUZh2jDyUpgK14ZnZjwRyeG4uPCXiIiIiIiItcThbtEZFbxPL+d6/QZOHsWLnZZrPUbufr6oLcPhob8tbFYJcyVgnhMbegiItdSV9cp3tzzD7y55++5cOHo+66PJ2q57bbPsGHD51i46Ba1Hs0Bxpao9o5RX2oh5Z3FsSVi9iIxr5OQzVI2QQZNDQOmlpwXwyuMtm6Vy+PHJBrjV255HpOOSRx7fOy0Q8dUAloTBLdCQb+5y9G/O5lCpzp6+NZzu/j29jfp7M1OujbgOn6Y6+blfPSm5Wxat5i4wlwiIiIy11j73rDW5cYmjj1lXOPWmOBWIDwyQvHywa3EuODW2NYtQjG/1ldERERERGSWUrhLRK57g4OWs2fh9Fk/0FUoWEqlSjPXmHauQMBv5aqvUzuXiMhUGBrq4519P2bP7u9y7Nhr77s+EAhzww0PcfvGz7F27cdxNb5iToh5F6grH6C2fBC3nCdQ6iPqdRKzXVjP0u9l6CktoK+cplx2/GquYWa0bctx/e/VrguhkMGtLL3smMTQaEhr5OOYY24ADApuyfTzPI+f7T3K08/u5Lldh7CXVsyN4ToOj921jn/+4O1svmmZwlwiIiIyu1kLXhHKRSjnMaUJWrfGvDyyjlsJaIXfOypx0sat4RGJyTHBraT/MRhVcEtEREREROY8hbtE5LrjeZbOTr+d6/QZuHjRfxcom/WDXH19flMXjLZzpVL+bRVyiIhcW+VyiUOHfs6e3d9l/7vPUyrl3vec5SvuYsOGz3HzLZ8iGk1Pwy5lKngeFItQKIJXKFBdPESD10LCXgCvgKWTuNNJyOQoeBHOeAsZsDVYN4TrQCRcCXFVwlzDrVtjuS6EQxCLuYRCAB7BoNWYRLnuXewb5G9efJNntu3iePvk42gbq5P8ztYN/M7WjSyoTU3TDkVEREQ+JK8MXh7rDfkhrcH+0datUh7KRYz1RpZbYyAQ9hu3AhEIpyAQwnMroS03PO4HAmsMBGOjDVvh5JhRiUk1bomIiIiIiIyhcJeIXBfyecuZs3DmDJw5C7mc387V3++PWuzvh1LJvwicSlbGLaqdS0RkSlhrOXf2Hfbs+S573/wBAwMX3vec2trl3L7x82y4/deprlk6DbuUD6tUhkIBigX/Y6FYuV2sHC9Cxu1gWehdFgWPEHILpAI9ZAIXSIR6McYw5FTTZ5ZTdBOEXEP1mByW644GtELDLVuhMaMSQ+A6BgxEIv5FnlyuCFZhLrk+WWvZc+gsT2/byfd+9S75YmnS9R+9eTlPPrKJx+5aRzDgTrpWRERmj56BIX7j//edccf+7t/9JplEdIZ2JPIBWG+0WWtc41YeKn83XhkM2EAAMBhr/OCWG/J/w9INjwa3AiFwxr9JZ4PRcaMRR0YmhodHJcbf+9sfIiIiIiIiclkKd4nIjLDW0tXlB7lOn4GODv/Y4NDouMVs1l8bjUJNjd/OFVc7l4jIlOntbePNPf/Anj1/z/n2A++7PhrNcOttn+b2DZ9j6dKNGH2Bvm5Y64eiC2OCWyO3K8Gtcnl0vTF+2CoUhFi4wLrUYZYG9pNxLxB08qScCyRsJ64tUDBxhtwlFMM1BEMBMpXzhkclDge4AmrckjliMFfgH371Ds9s28XeI+cmXZuKhfmtB27ldx++g+Yl9dO0QxERmU7FsseOd0+855jIdcNa8Epjwlv58eMSS3nwiu8dlzjcuhVOQiA8MioxEE+BG8LL50dGrttA2G/ZqjRs2XBi9HYoAeEEOLr0ICIiIiIicq3oJywRmTbFouXcOThdaejKZi3lMvQPjAa6ikW/6SORgCWL/UCX2rlERKZOPj/Au+9sY8/u73LkyK+w1k663nWDrGt+kA0bPkfz+gcJBMLTtFMZazi8lS+MD22N/TP2/0rXHQ1dJROjIayxrVox7wINpXepLR8mHCiQcHtJ0kHU9uIEHGysBpJ1BGNxAkEwKLwlc9vhs508s20Xf/viXnqyk4+kvXFZA7/32J187r6bSET1dVFERESm0HDrVqnStDVyuwCVvxvvSsYlhv3GLTcEZsy4RMeBUHIksOXUNGHCSUoFWwlvJf3zREREREREZNoo3CUiU6qvz3L6jN/O1d4O5bIll4O+fujrhYGsf/E5EoGqTKWdKw6OM9M7FxGZuzyvzJEjO9iz+7u8+86zFArZ9z1nyZINbNj4eW659XHi8epp2OX8dmnz1uVCXJcLb4VDkE5Vgltj/rju2LWGeBwScUjGCtRzhNrCu8S9DkJOgXDhAs5QJ6ZUwIbi2MRybLRaI1NkXiiVy2x74yBPb9vJz986NunaUMDl05tv4MlHN3HnusVqLxQREZEPz1qwZb9d60pbt9wAVIJaNpj2W7YqYS4C4feOSwzFKu1aSezY5q3hQFdwtDbfGIOTyfjn9fS87y8DiYiIiIiIyNRQuEtErqly2XK+w2/mOn0aenot1sLAAPRW2rnyef89omQSFi7wA11hFRyIiEy59rZW9uz5e97c8w/09bW/7/qqqsXcvuFz3L7hs9TXr56GHc4v5fKY4Fb+vQGuMb9sPxreCkM6Pdq4dbnwVjBoSCT88FYi4YemkwmIJ/yP0SiYXA9u+zs4Fw74F4xKPTiDFyDXA8Zv6fLi9RCKT/v/LiIzob2rn2+/sIdvPb+bcxf7Jl27pD7D7z68kS88eDv1mcQ07VBERETmBGsnGJeYh5LfvPWe1q1KSMsGIhCphLcqIxNxw2BGf0PSuoGRkJathLc0LlFERERERGT2009yIvKhDQ1Zzpz127nOnoVCwVIs+kGu3j7o7/cvUIeCfpBr4QI/2KV2LhGRqdff38Fbe3/Ant3f5ezZd953fTic4JZbPsXtGz/H8uV34+iL9QdmLRSKlwS3xtwulUbXOs5oUCuZHG3hmjS8VQlrXXo7HObyDULWw3Qdxz3+Dk7vGf83/gcuYLIdlZauGDazzB+/qJYumQestex49wRPb9vFj19toVT2JlxrjOHB21fx5KOb2LJhNa6rr40iIiJyGV65EtjKY0pjxiSO3C5ixrRfWccdHZkYSfkf3RB2uHnLDcKYceg2FBsNbY0JcRGqfAxERlq3REREREREZO5QuEtErpq1lu5uP8x1+jR0XPCPDQ76Ya7eXhga8tfG49DY4Ie6Inp/SURkWhSLQ+x/93n27Pkuhw7+HM8rT7recVzWrP0YGzZ8nhtufIhgMDpNO539PM9vpCwU/I+XtnCNnVoyHNSKRCqjE8OjAa7gmEkprmvGhbWSydHwVjI5SXhrIoUszvn9uB0tmPwAFPox/R2YoS7AYGPVeDX1EFIDkcwPfYM5vvPS2zy9bScHTl2YdG11Ksa/ePB2vvTwRpY3aiStiIjIvGYteKVLwltjG7jymPLob3BYQyWgVQlrhRPghvGGG7cCITCjv1RhHbcyKjGBDY1p3ao0b6l1S0REREREZP7ST4MickVKJUtbux/mOn0GBgYs5bLfyjU8brFU8ptFUimor4dUEgL6KiMiMi08z+PE8dfZs/u77Nv3Y3K5/vc9Z+HCm9iw8fPcettnSCbrp2GXs1O5XAluVUJb+fxogKtYHF033L4VDo8Pb4XD/vGxeax43JBMjga2hkNcyQTEYlcZ3rocazH953Da38G5eBTjlTCDFzEDHZjCIDYQxqYXY+O1ukAk88a7x9t5etsu/u7nb5PNFSZdu2ntIp58dBOf3nwDkVBw0rUiIiIyR1gLXhFKeUy5AJXQ1oQjEx1nNLwVioGb8V9nu2PCW2Nbt4KRMS1bqTGtW0lsJAmBqH4rUkRERERERC5LV3JEZEKDg5ZTlTDXuXN+wCtf8Ju5+vpgYMB/3ysSgZpqP9QVj+t9KBGR6XThwhH27P4H3tzz93R3n37f9alUI7dv+HU2bPgcjU3N07DD2aFUuqR5a0yQa+z4RNf1w1rhMCSSleatSohrbPtWIGBIpUbDWyN/Km1cgcAUfbMsF3E6D+G0vY0z2AWlIT/Qle0EW4ZIhnLdYgin9A1b5oV8scSPXm3h6Wd38lrLqUnXRsNBPn/fzXz5kTu4ddWCadqhiIiITBvr+Q1bpUsCW2ODXO8zMtEbHpcYCIMz+gOANQZC8UrLVhIiyZH2Lb+BK+GfJyIiIiIiIvIBKNwlIiOstVzsglOn/EBXZ6fFWshmK+1cvZDL+9eCkwlYuMAPdIXDM71zEZH5JZvt4u23fsie3d/l1Kk977s+GIpx002PsWHj51m1ajOO477vOXPRSIBrTHBr+E95zOTKQGA0wJVKjt4Oh/1w17Bo1JBM+N8Lxwa4UkmIRq9B+9bVyPfjtu/DOd+CKeVgqAdn4Dwm14d1A9hEPTZe71+EEpkHTnX08K3nd/NX2/dwoSc76drVC2v48iOb+K0HbqUqobG0IiIis5ZXvmRkYn40yFWujFCsZLeswQ9nBUJYN+zX544dmeiGwZlgZGI45Y9JjKRGxyeG4uPWi4iIiIiIiFxLCneJzHOlkuVc2+i4xWzWH7fY1zc6brFc9i90p1PQtMAPdrl6v0pEZFqVSnlaW37Knj1/z4HWn1IuFyddb4xh1aqPsmHj57nxpkcIhxPTtNOZNS7AdUmI63IBrmgEMulK+1algWvs97h43JBKjga4Uik/vJVMQig0w81XldGLbts+TNcxTLmIyV7wm7pKeWw4gVezEhutAuPM7F5FpoHneby09yhPb9vFc7sO4nl2wrWu4/DoXet48pE7uP+WFdMbxhQREZEPxiuNNmxdbmRiebRy1xoqIxPD2EDYb64NhPCGxyW64XGvkW0gNDoicaRta8ztYEzNtyIiIiIiIjJjFO4SmYestZw6BYeOjBm3mB9t5xrI+uMWo1Goq/UvZMf0HpaIyLSz1nLy5G7e3PP3vLX3Hxka6nnfcxoa17Fhw+e47fbPksnMzbFipTLkc+9t37pcgCsSGQ1wjW3gcirXcYwxxOOVwFbKDzKPDXNN2fjED8MrVUYv7sPJdkJxCDPQjhm8CNZiYzV4Nav89gCReeBi3yB/8+KbfPO53Rxr65p0bUNVgt95aCO/s3UDC2vT07RDEREReV/Wglcc37RVGh6ZWAlveaMv9q0xoyMTQzFwM9hAGFsJdBEIAaOv5W0wOiawlRpp4GL4oxpuRURERERE5DqmcJfIPNPba3ntDTh71pLNQk/vJeMWk7BooX9ROxSa6d2KiMw/5XKR48deo6VlOy37X+DixePve04iUcdtt3+GDRs+z4KFN82JBppy2Q9vFfL+96ixAa7S6C/kjzRwRcY0cEUuE+BKxP3wVmpM+1Yq7bdRXpcBrsspZCujF/djikOXjF4MYpNN2Hid31AgMg/sPniGp7ft5Hu/epd8sTTp2ntvWsaTj27i1+5qJhhQBa2IiMi0s/aSkYnD4a3hIFcBY73R5Y470rBlwwkI1GDdkN/C5YbADTIc3rLGQCjut2yFkhBJjoxOtJEUhBKV9SIiIiIiIiKzk8JdIvNEqWTZ9w7sewcGhyxnzvgjFzVuUURk5mWzXRxofZHWlhc4ePAlcrn+9z0nEAhzw40Ps2Hj51mz5n7cWXixwvOgcEn71nCQqzhm6qTrVgJbET+UFa7cvnSEYiIxOkJx1ga4LsMMdOC0vY1z8TCmVMRkOzR6UeatwVyB7/3qXZ7etpO9R85NujYZDfNbD9zKlx+5g+Yl9dO0QxERkXnKemPGIxbeMz6RcgFjR0cmWzcw0rBlg5n3jkx0Rt+2to4z4bhEf5RiAhy9oSUiIiIiIiJzl8JdIvPAmTOWV1/3W7s6OuB8BwRcWL4M0mmNWxQRmW7WWs6fP0hrpZ3r5Mld2DG/pT6ZFSvuZsPGz3PTzZ8kGk1N8U4/PGv9pq2R9q3c6O1Cwf88+C1b4UrrViI+Oj4xEhkf4IrFjD86Me2Ht9Kp63yE4gdlLab7BG7b2zi9Z/xWg4F2TLYTrIeNVeNVr4RwYqZ3KjItDp/t5JvbdvE3L+6lJ5ubdO2Nyxp48tFNfP7+m0lENWJJRETkmvDKlzRv5ceMTcxjyqO/nWENlXatENYN+69ZA2E8NzQyShEz+iLfusGR8Yij4xKHw1spCMb05pWIiIiIiIjMawp3icxxfX2Wn/7MD3adPuNfSK+vg4YGtXSJiEynUinP0aOv0tqyndaW7XR1nbzic2trV7Bh4+e5/fbPUl2zdAp3+cF5XqV5Kze+gSuf90csgn89JhTyQ1vp1GgDVyQMwTHFY5GIGQltpdN+cGv478HgHL+oUy7gXDiI2/Y2ZqgHCv04/e0w1A0mgE3UYxMNGr0o80KpXOa5nYd4ettOXtp7dNK1oYDL4/fcwJOP3sFdzUvmxHhaERG5Pg1/z7n02KznlSuBrYI/KnF4ZOJIG9foCGQ/vFVp3QpEIJK+ZGRiaFyrrA2E/fGIlbGJlzZwEYgovCUiIiIiIiIyCYW7ROa4/gHwPMup036Ya91avwVFRESm3kD/BVpbf0pLy3YOH/o5+Xz2is9dtPhWmpu3sH79FhYuuuW6CCqMbeHK5d7bwjUsEPCDW9EoZDKVkYqVP8NPIxAYbeAaCXJVwlzh8Mw/12lXyOK278NpfxdTymEGu/ymrnwWG4xgM8uwsRqNm5F54Xx3P99+YQ/fen43Zzv7Jl27pD7D7z68kS88eDv1GTXZiYjI1EvHI/zN//fzM72NqzfcvDUS2posvGX8gFYgjA3FwM34Aa2xzVuMvma3odhoy9ZIA9eY8JZ+MUFERERERETkQ1G4S2QeSaUU7BIRmUrWWtra9o+MWzx9+k3s8NzB9xEMRlm95j7Wr9/KuuZPkE43TfFuJ2btaOtWbjjAVfk4toUrHPKbt6oy/veXS8coGmNIJCCTHm3hSlfCXLEY10VgbaaZwYs45/bidB7ClIqYbAdm4DymVMBGUpRr10BEM5Rl7rPW8sr+kzz97E5+9GoLpfLEo2qNMTx4+yqefHQTWzasxnWdCdeKiIjMG9YbDWqV8qNjEyu3ryy8Fa6Et4IMh7esMRCKj2nbSo3cHg5w4egtZhEREREREZGppJ+8RURERD6EYjHHkSMvj4xb7Ok5e8XnZjILaV6/hfXrt7Jy1T0Eg9Ep3Ol7jR2lOBziGh6rOJxJc93R0FY6PRriGtvCFQqZccGtdNoPdCWTfkOXXMJaTP853LN7cbpP+Bfb+s9jshfAethYDV5NA4TiM71TkSnXN5jj736+j6ef3UnrqY5J11Yno/zzB2/nSw/fwYqm6mnaoYiIyHXC2vc0b1EuYEo5/3i5gKm8hh8dmxjGBqMQvZLwVmo0vBVJjv49lFB7rIiIiIiIiMgMU7hLRERE5Cr19rZxYHjc4uFfUSwMXtF5xhgWL9nA+vVbaF6/haamG6alvapcviTENWac4rBAAKIRSCagttYPcUXCEAyOrkkkDJn0aHhrONAVjaqF64pYD9N1DPfcXpz+81AcxPS3YQa7wDjYRD020aCxNTIvvHviPM9s28nf/fxtBoYKk669Y+0innxkE5/efAPRcHDStSIiIrOWteCVRgNbw41bpQJUAlym8hsY1gBO0A9vBcIQTkEgjBcIV0Jdo2MTL9u8FUlhQ0lsJKXwloiIiIiIiMgsoHCXiIiIyPvwPI9zZ/fR0rKd1pYXOHPm7Ss+NxyOs3rNxyrjFh8gmayfwn2OD3ANVT4WxuQmQiE/tJWujOod/jM8StF1DakUZDLjA1zpFASDCnB9IOUizoWDuOf2YnK9kO/D6WvD5HqxgRA2vRgbr9NFNZnzCsUSP3y1haef3clrLacmXRsNB/ncfTfx5Uc2cduqBdO0QxERkSk2Mjox549LLF0yQtErjy51XL9lKxDGxqrArYS3hgNcZnQssQ1G/cBWOAXhJDaS1thEERERERERkTlEP9mLiIiIXEYhn+Xw4V/R2uqPW+zrO3/F51ZVL2H9+q00r9/CypUfIRAIX9O9DY9THA5v5Yb82+8JcUWgKjM+xOVUrgEFAv4oxarMaJArk/FHKTqOQlzXRDGHc/4d3LZ9mOIgZrAL09+OKWSxwRhe9QpsrHrchTmRueh0Rw/ffH43f7V9Dxd6spOuXbWghicfvYPfeuA2qhLTO6pWRETkmvBKldBWpX1rZIxi7pLRicZvbA2EsaE4xGrGNG+FxwWybCA02ro13LwVTkGkMjpRza8iIiIiIiIic5rCXSIiIiIVPd1naWl9gdaW7Rw5vINSKXdF5xnjsGzZJpor4xYbGtZekzGF1vqBraFKgGu4jSuf9z8H/tjEaMQPZkUi/u2xIa5g0JDJjAlxZfwgVyKhUYpTppDFPfcWzvl3MaUcJtvph7pKeWwkRblurT86R//7yxzmeR4v7T3K09t28dyug3ienXCt4xgevXMdv/foJu67eTmOo8CjiIhcv3oHhvjD//JD8MoY64Et819/504yIQul3GXatyL+6MRYTWV0YuTyoxPDyUpoK+2PSxwT5CIQ0WtHERERERERkXlM4S4RERGZtzzP48zpvbS0vEBLy3bazr17xedGIknWrv04zTdsZd3aB4gnaj7UXkql0RDX0NBoK5fn+Z93XYhGIZmAulqIRP0g1/A4xUBgfIirqkohrmmX68U99yZORyumVMAMnMcMnAevhI1W49WsglB8pncpMqW6+gf5m5/u5ZnndnGsrWvStQ1VCb64dQO/s3Uji+rS07RDERGRK2Dt6KjEUs4PbVVauErdffzw1dZxy//0t2/DJtIQq8K6YWwgcpn2rbA/LjGSrjRupSrjE1MQTqjNVUREREREREQmpHCXiIiIzCu5XD+HD/2S1pbttLb+lIGBC1d8bm3tcprXb2X9DVtZvvwuXDd41Y8/bqRiJcQ1NATFov95YyoNXFE/qBWN+n8PVh7KdUfHKVZVVUJcGT/0pRDXzDCDF3HO7sHpPIwpF/yWroEOsBYbr8UmG/22BZE5bM+hszy9bSff+9U75AqlSdduvnEZTz66iV+7ax2hoH4kFRGRGWI9KBUqwa1cZXzimFGKlapca4wf1ApE/GatdOI9d+XVrsbLJCCcqAS2/PYtG0n7DVyRtH8fIiIiIiIiIiIfgN5JFxERkTmvq+sULfv9cYtHj75CuVy4ovMcx2X58rtoXr+F9Tdspa5u1VU97nAb19DQ6J9cbnSkYijkB7eqq/0WrmgUwmE/4GWMIZkcE+LKQFU1pJJ+wEtmnulvxz27B6frOJTzmL42zGAnYLCJemyiAdzQTG9TZMoM5gp8/+V3eXrbTt48fG7StclomN/8+C18+ZFNrF9aP007FBGReW+kgSuHKebGNXFRLkwQ4MqMjk8MRMaPT3RcvNh7X4sXb3qC4oLl4LjT+OREREREREREZL5QuEtERETmHM8rc/Lkblr3v0BL63bOtx+44nOj0Qzrmj/B+vVbWLP248Rimfc9x1ooFMaHuIaGoFBp43IcP8QVi0FNzWiQa3ikYihkqK6G6koT1/DHYFAhruuOtZjeM36oq/cMlIYqoa6L4LjY5AJson7cCB6RuebI2Yt887ld/M2Le+keGJp07Q3LGvi9RzfxuftuJhlTY4mIiEwBa6FcHNPANfpxwgauaBUEI5UAV7gSyK8EuNxgZXRiemSMoo1ksJEUhBKULl4E/mT8HiIZBbtEREREREREZMroqpOIiIjMCUNDfRw6+BItLds50Poig4NdV3xufcMampv9dq6lS+/AdSd+iWSt3741NASDY4Jc5bL/+UCgMlKxyv94aRtXOu2Ht6qrR4Nc8bhGKl73rMX0nMQ9swun/zwUsjj952CoG9wQNr0YG6/TRT2Zs0rlMs/vOsTTz+7kZ3uPTro2GHD59D038OVH7uDu9Uv09U1ERK4NrwTFscGtMWEuzwPAGiptW+/TwFUJcNlo5j0hLoIx/8W7iIiIiIiIiMh1QuEuERERmbU6O4+NjFs8duw1PK90Ree5bpAVKz5C8/otNK/fQm3t8suu87xKeCsHQ4OjYa7hsYrhsB/eaqgfDXIFg/7ngkG/jaummnGtXIGALhTNKtZiuo/jntmNM9ABhX6c3nOYXC82EMZWLcfGasA4M71TkSlxvrufv9r+Jt96fjdnLvROunZxXZrfffgOvvDg7TRUJaZphyIiMqdYD0rDYxSHxge4yv5rfWvwm7YCEWwoDrEavGBkJNQ1GuAKVBq4MiNBLgW4RERERERERGQ2UrhLREREZo1yuciJEztHAl0XLhy54nPj8RrWNT9YGbf4MSKR5LjPDwe5BodgcNC/ncv5QS5j/CBXLOYHtGLR8WMV4/HxQa6aakgm1cY1q1mL6TrqN3VlL0K+D6fvHCbXhw1G8WpWYqPVuigoc5K1llf3n+Tpbbv40astFEvlSdc/uGEVTz6yia0b1+C6CjqKiMgVGDtGsTg08pFyYXSMouP6Aa5gxG/XGr4diIDxX4hbYyrNW5lKeGv0I6G4XquJiIiIiIiIyJygcJeIiIhc1wYHuzl44Ge07H+BgwdfYmho8uaYsRqb1rN+/Raa129lyZLbcSoj8zwPstmJg1yRiB/kqq3xP0Yi4FTyCun0aJCrtsYPc0Wjumg0Z1gPp/MI7tldmMFuyPX6oa58PzYUo1y7CiJVulAoc1LfYI6/+/k+ntm2k5aTHZOurU5G+cKDt/OlhzayckHNNO1QRERmFWsrLVxDl4S4chhvbAtXGIJRbLQKgpHRMYpuaPSuQnFstAobHRvkqoJwUmOxRURERERERGTOU7hLRERErivWWi50HKGl5XlaW7Zz4sROPG/y1phhrhti1ep7aW7ewvr1W6iqXoznQS4PXd1+kGtw8MqCXI5jyGT8EFdNzWgrVyikUM+c5JVxOg/hnt2DGeqBXHcl1JXFhuKUa9dAJK1Ql8xJ+0+c5+ltO/m7n7/NwFBh0rUb1yzkyUc38ZnNNxINB6dphyIicl3zype0cA1BsTJKcYIWLi8YHR2jWBlvbd2AH+CKZPxRitGq0RauQGjixxcRERERERERmeMU7hIREZEZVyoVOH7sdVpa/HGLFy8ev+JzE8l61jc/SPP6raxa/VEgweAgZAfhwkU/zDVRkCsa9Y+PDXLV1o42cgUCCvLMeV4J58JBP9SV64WhHj/UVchiwwnKdWsgrFCXzD2FYokfvdrK09t28ur+k5OujYQCfO6+m/nyI3dw++qF07RDERG57nglv3WrNHTJKMU8xs9wYd2g38IVTkKi3m/hCkbHt3CFEyPNW36Ayw9xEUroNZeIiIiIiIiIyGUo3CUiIiIzYmCgkwMHfkZry3YOHXyJXK7/is9duPAmmtdvZc2aLVRV38rgkMPgIBw6DOVKyVc47Ae4Mhn/YyzqN3IZ4we5amv8INdwK5eCXPNMuYjT0YJ7bi8m348Z7ML0n8MUhrDhJOW6df6YH11glDnmdEcP33phN99+YQ8XerKTrl21oIYvP3IHv/XArVQnY9O0QxERmXFeyQ9vFYf8kYrFXGW0ot/u+N5RilG8YAQCUXD8txqt40AkjY1WjwlwVamFS0RERERERETkA1C4S0RERKaFtZb29lZaW7bT0rKdUyd3YStjWt5PIBBh9eqPsmLlFhYt3oIbWMBgFnr6/D/BoB/gaqivBLli4Lr+uamUobYG6ur8QFdNDQSDCuzMW+UCzvn9fqirkMUMXsT0ncMUc9hImnL9UginZnqXIteU53n8/K1jPL1tJ9t2HsTzJv7a6ziGRzat4/cevYP7b1mB4zjTuFMREZlWY0NcI+MUhzDlIlAJcVVGJ9pYDTYYxQaiEIyA8V9sWzc4PrwV88NchFPguDP45ERERERERERE5g6Fu0TmiHK5zH/4D/+BX/7yl2QyGZqbm1m/fj119c3k82uBxExvUUTmoWIxx7Gjr46MW+zuPn3F56ZSTaxcuYVFS7ZQXXMvpVIMa/1xi7EYZKogXglyhSq//B+LGepq/Uau4Y/hsIJcApTyOO37cNvexhQGMYOdmL42TCmPjWYoV6/wRwGJzCFd/YP87Yt7eWbbLo62dU26tj6T4ItbN/ClhzayqC49TTsUEZFp4ZXHh7eGG7nGNnFVxifaeJ0f4gpG/WPGD/naQLgS3KoeH+LSKEURERERERERkSmncJfIHPHXf/3XfOMb3xj5+8svvzzu84nkUurrm1m+fD2Njc00Na2ntm4Frhuc7q2KyBzX13eeA60v0tLyAocP/ZJCYfKxX2M1Nt7G4iVbqW/cQip1E8YYIpHREFc8DpGIf/0oGBzTyFUL9XUQj+vCklyimMNtexunfR+mOITJXsD0t0G5gI1W49WsglB8pncpck29efgsTz+7k3/41TvkCqVJ195z41KefGQTn7y7mVBQPx6KiMxq1rtknOJwI1fe//TYcYqx2suHuILRkeCWjVaPhriCMYW4RERERERERERmiN69F5kjzp07N+nnB/pPMtB/kmNHnx855roh6utX09jkh70am5ppbGwmk1mI0Zu2InKFrLWcO/sOLa3baW3ZzulTb17xuYFAjIUL76exaQsLFj1IItHgB7nifqArHvfHKxpjyGT8ANdwkCuT8ceHiVxWcRD33F6c9ncxpRxmoAPT3w5e0R8rlFwAwehM71LkmhnKF/n+y+/y9LM72XP47KRrk9Ewv/nxW/jdh+/ghmUN07RDERG5ZqyFUh5Kg6MBruIQlHKYythzGwhVQlxV2GDsveMUA2H/NdFwG1esBhurhLhkUsFgkHvuuec9x0REREREREREpoqxtvKuj8hV6u7unuktyBinTp3i4Ycfpq2t7UPfVySSorGxeTT01biOxqb1xGKZD79RkQ/Jb3KKAJDL5dC3sZlRLA5x5PDLI+MWe3uv/GtPPL6IBYu2snDhFpYsvYd0OjIS5Kr8X0skYqirg4b6SjNXDYRCCnLJFShkcc++idOxH1PMYwbOYwbawSv7DRWpJr+dQq4fhnFf19GX9aty9NxFvvncLv7nT/fSPTA06dr1S+v5vUfv5PP330wyFp6mHYrIvKOv69dWuQjF4RDX4Ggrl+cBYN2AH+IKRCEYw4aiEIiBMxziCo2Gt6JVI4EuNXGJyJXwf9EqA0BPT4/egxERmeX0dV1EZG7R1/XrW1VV1TW9PzV3icwRS5YsYffu3bz44ou0trbS0tJCa2srR48exau86Xulcrk+Tpx4gxMn3hh3PJ1uorFp/Wjwq7GZ+oY1BIO6SC4yH/T2ttHasp2Wlhc4cvhlisXJQwSjDLV1G1m0eCurVm1h8eJmEgkzrpWrugrqK0Gu+jpIpVCDoFydXB/uuTdxOlowpYIf6upvB+th43XYZBMEFGaRuaFc9nh+9yGefnYnL755ZNK1wYDL4/es58lHNnH3+iX62ioicr0aGak4OP5jueh/2nEgUBmjGKvGC8b8FlI3NPL5kTGKsZqRP4QSCnGJiIiIiIiIiMxyau6SD0zNXbPD0WOD/M3fHmTPngMMDbbQ399Ke1sLfX3t1+T+HceltnZFJfTlN3w1NTVTXb0Mx3GuyWOIjKXmrunjeR5nz7xFS8t2Wlu3c/bMvis+NxBMsHDhx1m1agvN6z9BXV0t0ah/XSkUMjTUQ0ODH+aqq4VgUBec5AMa6qmEulox5QKmvx0z0AHY0VBX5aKnXKfU8HLFzncP8Ffb9/A/nt/N6Qu9k65dVJfmdx/eyD9/cAMNVYlp2qGICPq6/n6shXJhTIBrcNxIRWsANwwhf5SiDVVCXIEIYLDGQDhVCXHVYmPVeLEaiGbA6GdwEbm21AQgIjK36Ou6iMjcoq/r1zc1d4nIVYlEoixadAu9fbdQVQULmvzjg4PdtLW10N52gPb2FtraWjnf3kou139V9+95ZTo6DtPRcZh9b/9o5HgwFKOxYe1Iy9dw6CuZrL+WT09ErrFCPsuhw7+kdf8LtLb+lP7+jis+N5lcxspVW2lu3sK65ruJxfxATTptqK/zm7kaGiCTViuXXAND3bhnduF0HsaU8n6oK+v/e7WJBmyiEdzgDG9S5MOz1vLq/pM8vW0XP3q1hWKpPOn6T9y+iicf3cTWjasJuO407VJERC7LK/sjFItDUBgcbePySgBYx/VHKYaTkGwYbeMylZGKwUglwFUzJsxVpeC6iIiIiIiIiMg8o3CXyDwVi1WxcuU9rFx5z8gxay093Wdob2+lrc1v+Gprb+VCx2HKlVEQV6pYGOT06b2cPr133PF4opbGxnU0VcY7NjWtp6FxLeGwGiVEZkp312laW39KS8sLHD2yg1Ipf0XnGeOwYMEm1jVv5ZZbttLYtJpAwKG2phLkqvc/RqMKcsm1YwYv4pzZjXPxiB/q6juHyV4A42ATjdhEg0JdMif0D+b5u1+8zdPP7qTl5ORB26pElC88eBu/+/AdrFxQM007FBGREdaCVxwT4Bpu4xrCWPw2rkAEG4xBJOWHuEIxv6GLMSMV47XjRyoGYxqpKCIiIiIiIiIiCneJyChjDFXVi6mqXkzz+i0jx8vlIhcuHPXDXpXQV3v7Abq6Tl71Y2QHOjl6ZAdHj+wYd7y6eimNTc3jQl+1dStwdYFe5JrzvDKnTr1Ja8t2WlpeoL2t5YrPDYdTrFr9ADfdvJXm5gdIpapHglyNjVBfB4GALkDJtWeynX5T18WjUMpj+s9hsp1gXGxqITZRD45e2srst//EeZ55bhffeektBoYKk67dsHohTz66iSfuvZFoWK+ZRESmhbV+aKswHOKqfCyPbeOKTtzGFYqPCXHVYuM12EgGHLUtioiIiIiIiIjI5ekKmIi8L9cN0ti4jsbGddx62+jxXK6f8+cPjoa+2ltpb2slm7141Y/R1XWSrq6TtOx/fszjhqivXz0a+mpqprGxmUxmoUa6iVylXK6fQwd/TkvLdg4ceJHsQOcVn1tTu4r167dwww1bWLP2LhYsCNLYAI0NUFMDrqv/HmXqmIEOP9TVdRxKOb+pa/AiOC42vQgbr9fFUJn1CsUSP36tlae37eSVdycPz0dCAX79ozfx5Uc2sWHNwmnaoYjIPOWVRwNcY8cqWg8AGwj5YxUTY0JcgTBgLmnjqh0JdBGMzuxzkg+tv7+f//gf/+O4Y//+3/97ksnkDO1IREREREREROY6hbtE5AOLRJIsXbqRpUs3jhyz1tLf30F7Wytt7S2cbzvgf2w/SLE4dFX3Xy4XaGvbT1vbfsYOd4xEUjQ2No9p+lpHY9N6YrHMtXliInPExYsn/Hau/S9w7NirVzxe1XECrFhxN83rt3DrbVu5+aaVNDRAUyNUVYHjKMwlU8/0n8c9u7sS6hrC9LVhBjvBCWLTi7HxOoW6ZNY7c6GXbz2/m2+/sIeOnoFJ165squbLj9zBb3/iNqqTsWnaoYjIPFIuXDJWcdAPlluwxvhtXMEYxGrwQjF/ZGKlNdQGo+8JcdlolV6rzFH5fJ5vfvOb4479H//H/6Fwl4iIiIiIiIhMGYW7ROSaMsaQSjWQSjWwZu39I8c9r8zFiydoH9Pw1dbWQmfnMWzlt56vVC7Xx4kTb3DixBvjjqfTTTRWxjo2NjXT1NhMfcMagsHItXhqIte9crnEyZO7RsYtdpw/dMXnxmJVrGv+BLfe+hD33f8xVq5I09QImQxqypNpZfrb/aau7pOVUNdwU1cQm16iUJfMep7n8Yu3j/GXz+5i284DeJ6dcK3jGB7ZtI7fe/QO7r9lBY7jTONORUTmKGuhnB8Jcpli1r9d+UUI67gQimEjaQg2+UGuQBSM44e8Ihm8+JgQV7zOD3rpNbOIiIiIiIiIiEwRhbtEZFo4jktd3Urq6lZy082PjRwvFoc4f/4Q7e0HRsc7trXQ19d+1Y/R29tGb28bBw/8bNzj1tauqIS+/IavpqZmqquX6QKpzAlDQ70cPPAzWlq2c/DAzxgc7L7icxsa13HzzVu4776t3PfRO1iw0CWTVphLZobpb8c9vROn55TfltF3DjPUBW4Im1nqXzg1+rots1f3wBB/++Jentm2iyPnJh9hXZ9J8MWtG/jSQxtZVJeeph2KiMxB1vrtW4Ws//pi+KNX9j/tBv0gV7xutI0r4P9ykHXckfCWjdf6H2PV4IZm8hmJiIiIiIiIiMg8pHCXiMyoYDDKokW3sGjRLeOODw5209bWQnvbAdrb/dDX+fZWcrn+q7p/zyvT0XGYjo7D7Hv7R6OPG4rR2LB2pOVrOPSVTNZfk+clMpUuXDhCS8t2Wve/wPHjr+NVLk69H9cNsnr1PXzknq089NAWNm5YRlphLplhE4e6wtjMMmy8VqEumdX2HjnH08/u5B9+9Q5D+cnH495z41KefGQTn7y7mVBQP6qJiFwV60ExV2niyo6OV/T8pmgbCFcauZpGg1yVoJYNhCshLj/I5cXrIJrRaxAREREREREREbku6IqBiFyXYrEqVq68h5Ur7xk5Zq2lp/sM7e2tIw1fbe2tXOg4TLk8+cXSSxULg5w+vZfTp/eOOx5P1NLYuI6mynjHpqb1NDSuJRxOXJPnJfJBlMtFjh9/3R+3uP8FOjuPXfG5iUQtG+94kAc/sZXHHrufRYuSCnPJdWHSUFfVcmysRhdUZdYayhf5wY53efrZnew+dHbStYloiN/8+K18+eE7uGFZwzTtUERklrMeFIcuaeQawlgPa4BABBuMQ7QKLxT3g1yO/xaYDSewMb+Jy6s0chFOaqyiiIiIiIiIiIhctxTuEpFZwxhDVfViqqoX07x+y8jxcrnIhQtHx411bG8/QFfXyat+jOxAJ0eP7ODokR3jjldXL6WxqXlc6Ku2bgWuG/zQz0vkcrLZLg4ceJHWlu0cPPASuVzfFZ+7dOmNfPS+LXzy17Zy//2347ruFO5U5OqY/vO4Z3bidJ/0L8L2nVWoS+aMo+cu8s3ndvE3L+6lq39o0rXrl9bz5KOb+I37byEZC0/TDkVEZqHLBrkGMdZWglxRbCgGsRo/yBWKgfFf/9pIqhLiqrRyJer8oJeIiIiIiIiIiMgsonCXiMx6rhuksXEdjY3ruPW20eO5XD/nzx8cDX21t9Le1ko2e/GqH6Or6yRdXSdp2f/8mMcNUV+/ejT01dRMY2MzmcxCNSPJVbPW0nH+EC0tL9DSsp2TJ3ZirXdF5waDYW7f8FEe2rqFT396C0uWLJ7i3YpcPYW6ZK4qlz2e332Ip5/dyYtvHpl0bTDg8qmPrOfJR+7gIzcs1esFEZFLDQe5ioP+aMXLBrniEK8dHa04HOSKZsaEuOqxsVoIRmb2+YiIiIiIiIiIiFwDCneJyJwViSRZunQjS5duHDlmraW/v4P2tlba2ls433bA/9h+kGJx8oaNS5XLBdra9tPWtp+xwx0jkRSNjc1jmr7W0di0nlgsc22emMwZpVKeY0dfo6UybrG7+8rb5qqrG/jYx7bwqU9t5WMfu494PD6FOxX54MxAhz9+sfvEe0NdmWXYeK1CXTIrne8e4K9/uodvPbeb0xd6J127qC7Nlx7ayL/YcjsNVclp2qGIyHXOWihVGrkK2Uqga3DMaMXLB7msMRCpBLkSddh4vT9aMRCa6WckIiIiIiIiIiIyJRTuEpF5xRhDKtVAKtXAmrX3jxz3vDIXL57wQ19tLZxvP0BbWwudnceuuD1pWC7Xx4kTb3DixBvjjqfTTTRWxjo2NjXT1NhMfcMagvpt8nlloP8Cra0vsn//dg4feolCIXvF565ffwsPP7yVRx99iJtvvhnHUSBGrl9m8CLu6TdwLh7zL9z2nsMMXQQ3pFCXzFrWWl5rOcXT23byw1daKJbKk65/4LaVPPnoJh66Yw0BjcgVkfnMWijlMcXsmEauLMYbDnJF/CBXtHrcaMWRIFdibCOXglwiIiIiIiIiIjK/KNwlIgI4jktd3Urq6lZy082PjRwvFoc4f/4Q7ZWxjm1trbS3tdDX137Vj9Hb20ZvbxsHD/xs3OPW1q6ohL78hq+mpmaqq5cpuDNHWGtpa2uhZf923n33Bc6e2QPYKzo3HI5y33338fDDW9myZQtNTU1Tu1mRa2GoG/f0LpyLhzHFIUzfOcxgp0JdMqv1D+b57i/28fS2new/cX7StVWJKP/sE7fxuw/fwaqFNdO0QxGR64st5SE/gBnowuQrgS7PD8TaQLgS5FroB7mCcXDGjlas9xu5FOQSEREREREREREBFO4SEZlUMBhl0aJbWLTolnHHBwe7aWtrob3tAO3tLbS1tXK+vZVcrv+q7t/zynR0HKaj4zD73v7R6OOGYjQ2rB1p+RoOfSWT9dfkecnUKhZzHDm8g3fe3c6B1u3095254nMbmxbw0NYtPPzww2zevJloNDqFOxW5hnK9uGd24Vw4iCnl/fGL2U5wAtjMUn9ckkJdMsu0nOzgmW07+c5Lb9M/lJ907e2rF/B7j97JE/feSDQcnKYdiohcB7zSSBuX38g1gDX+LzMYayAYxyYb8UIJCMXB8d+KspEkNl6Pl6j3Rysm6iEQnslnIiIiIiIiIiIicl1SuEtE5AOIxapYufIeVq68Z+SYtZae7jPjGr7a2lu50HGYcrl4VfdfLAxy+vReTp/eO+54PFFLY+M6mirjHZua1tPQuJZwOHFNnpd8cH197bz7zk95993tHD/2S0qlwSs6zxjD7bffztatW3nooYe44YYbMMZM8W5FrqH8AO7ZXTjnW/xQV38bZqADHBebXoSN14+0cYjMBoViiZ+8foCnn93JjndPTLo2Egrw6x+9iS8/sokNaxZOzwZFRGaS9aAwiCkM+GMVC1lMMed/ynEhFMfG6jDJaggn8EoeWLCh2GiQq/KHYGyGn4yIiIiIiIiIiMjsoHCXiMg1YoyhqnoxVdWLaV6/ZeR4uVzkwoWjftirEvpqbz9AV9fJq36M7EAnR4/s4OiRHeOOV1cvpbGpeST01djUTF3dSlxXzSFTxVrLmTP7ePutFzjQup3z59+64nPj8Tgf+9jH2Lp1Kw8++CD19Wpkk1moOIh7Zg/O+XcxpRymrw2T7QAMNrUQm2hQqEtmlbOdvXzr+d18+4U9nO8emHTtyqZqvvzIHfz2J26jOqlwgojMUdZCKee3cRUGKq1cgxhrscZAKIaNpLGpBf6YxUAEMBAI4dQvh1QjJeJ48ToIJUC/wCAiIiIiIiIiIvKBKNwlIjLFXDdIY+M6GhvXcetto8dzuX7Onz84Gvpqb6W9rZVs9uJVP0ZX10m6uk7Ssv/5MY8bor5+9Wjoq6mZxsZmMpmFaob6gAqFQVpbf8U7+7Zz5PB2stn2Kz53yZIlPPTQQ2zZsoV77rmHcFgjZ2SWKuVxz72F0/YWpjiE6W/HDLQDBptoxCYbR8YtiVzvPM/jl/uO85fP7mTbGwcpe96Eax3H8MimtTz5yCY+dusKHEdjRkVkjikXK+MVB/xmrkIW45WxBghE/ABXvBYvFPdbt4yDdVxsvBabaMAmGvAS9ZhoFfGqKgBsT48fEhMREREREREREZEPTFfeRERmSCSSZOnSjSxdunHkmLWW/v4O2ttaaWtvob0S+jrffpBiceiq7r9cLtDWtp+2tv2MHe4YiaRG2r38pq91NDatJxbLXJsnNsd0dZ3l7be209qynVOnXqZczl3ReY7jcMcdd7B161a2bt3KunXrFKqT2a1cxDn/Lu7ZPf4IpoHzmL42wGLjDX6oS22BMkt0Dwzxv362l2e27eLw2clD1XWZOF/cuoEvbd3I4vrM9GxQRGSqWa8S5Bpt5TKlvP8pNwChBDbZ5Ae5QvGR4LaNVuElG0bCXDZW896mTr3mlTnOdV3Wrl37nmMiIiIiIiIiIlNF4S4RkeuIMYZUqoFUqoE1a+8fOe55ZS5ePOGHvtpaON9+gLa2Fjo7j2HtxC0jl5PL9XHixBucOPHGuOPpdBONY8Y6NjU2U9+whmAwci2e2qzheR7Hj7/F22+9wOFD2+nsfOeKz00mkzzwwANs3bqVT3ziE9TU1EzhTkWmifVwOlpxz+zC5PsxAxcwfWfBK2HjddjUAnBDM71LkSuy98g5ntm2k7//5TsM5YuTrv3IDUt58pFNfOojzYSC+rFJRGYxa6Gc94Nc+Uor17jxinFstAobimNDCQj4DbM2FKu0cQ2HuepHPicyn1VVVfHaa6/N9DZEREREREREZB7RVQoRkVnAcVzq6lZSV7eSm25+bOR4sTjE+fOHRhq+2tpaaW9roa/vyscFDuvtbaO3t42DB3427nFra1dUQl9+w1dTUzPV1cvm1DiqoaEB3n3nl7z77gscO/ZTckMXrvjcFStWjLRz3XXXXYRCCrnIHGEtzsUjuKd3Yoa6MINdmN4zUM5jYzXY1EIIzK/wp8xOQ/kiP9jxLk8/u5Pdh85OujYRDfEbH7uFLz+yiRuXNUzTDkVErjGvfMl4xQFMuQSADYSx4URlvGICgtHR8YqJen/EcqIeL9kIoYRauERERERERERERK4DCneJiMxiwWCURYtuYdGiW8YdHxzspq2thfa2A7S3t9DW1sr59lZyuf6run/PK9PRcZiOjsPse/tHo48bitHYsHak5Ws49JVM1l+T5zUdOs6f4q23tnPgwHbOntmB5xWu6DzXdbnrrrtGAl2rVq3SuEWZW6zF9J7GPfU6zkAH5Hpwes9gCoPYaAavZjWEYjO9S5H3dayti28+t4v/+dM36eqffLRx85J6nnx0E7/xsZtJxRRaFJFZxFoo5SohriwmPwClQYwF67h+K1e8Hi8c98Najj9C+YrGK4qIiIiIiIiIiMh1QeEuEZE5KBarYuXKe1i58p6RY9ZaerrPjGv4amtv5ULHYcrlyUdTXapYGOT06b2cPr133PF4opbGxnU0VcY7NjWtp6FxLeFw4po8rw+jXC5z6NAe3tn3AkeObKe7q/WKz81kMnziE59g69atPPDAA2QymanbqMgMMgMduKdexek5A4V+nJ4zmHw/NpykXN8M4eRMb1FkUuWyxwu7D/H0tp38dM+RSdcGXIdPfWQ9Tz66iXtuWKqgrojMDl7Zb+IabuXKZzFeCWuAQNRv5UrWj7ZyYfy2rkQDXrIRm2zEJho0XlFERERERERERGQWUbhLRGSeMMZQVb2YqurFNK/fMnK8XC5y4cJRP+xVCX21tx+gq+vkVT9GdqCTo0d2cPTIjnHHq6uX0tjUPBL6amxqpq5uJa4b/NDPazIDA33se/vntLS8wInjL5LPd13xuatXr+ahhx5i69atbNq0iUBA3zJlDsv14Z5+HffCISgO4fSexgz1YEMxyrVrIJLWWCa5rnX0DPDX29/km8/t4vSF3knXLqxN8aWHNvLFrRtoqFJgUUSuY9ZCKY8p9PuBrnz2klauBDbZ4Ae5QglwXKwx/vjkZAM20eiPV4xk9H1cRERERERERERkFtOVahGRec51gzQ2rqOxcR233jZ6PJfr5/z5g+NCX21trQwOXnlAalhX10m6uk7Ssv/5MY8bor5+9ZjQ1zoam9aTySz8UO0p584d46292zl0cDvnzr2KtaUrOi8QCHDPPfewZcsWtm7dyooVKz7wHkRmjWIO9+wenPa3McUcpu8sJnsB3DBezUpstFoXg+W6Za3l9dZTPP3sLv7xlf0US+VJ13/8tpX83qObeOiONQRcjR4TkeuQV/ZHKw63chUGMOVLW7kqYa5gBDDYYASbbMJLNGCTTdhEHbihmX4mIiIiIiIiIiIicg0p3CUiIpcViSRZunQjS5duHDlmraW/v4P2tlba2ltob2ulvb2V8+0HKRaHrur+y+UCbW37aWvbz9jhjpFIaqTdyx/t2Exj03piscxl76dUKnHgwE7erYxb7O09fMV7qKmp4cEHH2TLli18/OMfJ5VKXdVzEJm1vBJO+zu4Z3ZjioOYvjbMQDvgYNNLsIl6MM5M71LksgaG8nz3F/t4+tmdvHvi/KRrM/EIX3jwdn734TtYtbBmmnYoInIFrIVyoTJasRLmKg5irK20csX9UYqhBITi4ATGtHL54xW9RKPaNUVmQDab5c///M/HHfvjP/5j4vH4DO1IREREREREROY6hbtEROSKGWNIpRpIpRpYs/b+keOeV+bixRN+6KuthfPtB2hra6Gz8xjWelf1GLlcHydOvMGJE2+MO55ON9FYGeu4cNHN5HMO+/Zt4+SJn1EoTD6Ca6zm5mYeeughtmzZwsaNG3HV3iLzibU4nYdwT7+OyfVhBjowfefAK/vjm5JN4OjloVyfWk918My2Xfyvn71F/1B+0rW3rVrA7z26iSfuvZFYRA02InIdsJ4f3spXGrkKA5hSwf9UIOy3csXr8MIJCEYB4x9PNuFVwlw2Ua9WLpHrwNDQEP/pP/2ncce+/OUvK9wlIiIiIiIiIlNGV+9ERORDcxyXurqV1NWt5KabHxs5XiwOcf78oZGGr+Hxjn197Vf9GL29bfT2tnHwwM+u6rxQKMTmzZtHAl1Lliy56scWmQtM7xnck6/gDFyAoS6c3jNQymFjtdjUQgiEZ3qLIu9RLJX5yeutPP3sTl5+58SkayOhAJ/96E08+cgmNqxZOD0bFBGZiFeqNHL1+4GuYhbjeVhj/FauWDVeKAnhBDhBv5UrWuWPVkw24iUbIZJRK5eIiIiIiIiIiIgo3CUiIlMnGIyyaNEtLFp0y7jjg4PdtLW10N52gPb2FtraWjnf3kou139NHre+vp4HH3yQrVu3cv/995NIJK7J/YrMSkPdBE6+itN1HAoDOD2nMPkBbCSNV70KQrGZ3qHIe5zt7OVbz+/m2y/s4Xz3wKRrVzRV8+WH7+C3P3EbNSn9exaRGWAtlPKYQv/IiEVTGVlu3SCEE9joQrxwEoIxMA42EMIm6rGJ0WYuBa1FRERERERERETkchTuEhGRaReLVbFy5T2sXHnPyDFrLV1dZzh+rJVTp1ppb2+hu6uVvr7DeF7xfe/z5ptvZsuWLWzdupXbbrsNx3Gm8imIXP9Kedwzu3Da92GKQ5ie0ziDXdhQjHLdWoikZ3qHIuNYa/n53qP85bM72fbGQcrexGN9Hcfw8B1refKRO/j4bSv1NV9Eppf1oJD1Q1z5ASj0Y8olrAGCUWw4gU01YUMJCET8UyJJvGTTSDOXjdWA0dcuEREREREREREReX8Kd4mIyIwqlaC3D3p7Df39i3GDi1m3fgt33g3pNEQjRTo7jzE40EJvXwvtba0cPXqAwcFBbr31Vh566CEefPBBFi7UCC4RAKyHc34/7uk3MIUspu8cpr8dnABe9XJsrFYjnuS60jeY478/u4v//uPXOHSmc9K1tek4X9y6gS89tJEl9Znp2aCIyKUjFgtZjPWwjgOhBDZejxdOQCgBTsAfsRivw6YWVFq5miAUn+lnISIiIiIiIiIiIrOUwl0iIjLt8vnhQBcMVKZtxePQ2AjpFEQiEAgYFi6AJUtCLF60jmi0GXgCYwyZTAaAnp4erLUz9jxErjem+ySBkzswg12YbCem9wx45UpLSBM47kxvUWTE+e5+/t8fvc4zz+2iN5ubdO3d65fw5KOb+NRH1hMO6kcYEZlC1kI5P9rIlb/MiMX0okqYKw4YbCCMTTaONnMl6sENzuzzEBERERERERERkTlDV0ZERGTKWQtDQ36Yq7cXhnJ+cVAyCYsX+4GuYBCiUcOSxbBkCSxo8gNeInIFBrsInHwFp/sk5Ptwek5hCoN4sRpsehEEwjO9Q5ERR85e5M/+8RX+18/eIl8sTbguHgnxGx+7hScfuYMblzdO4w5FZF6xFoqDmHw/FAYw+X5MueiPWAxEsOHkZUYspkaDXKkmbLRarZgiIiIiIiIiIiIyZRTuEhGRKWEtDGSht8cPdBWK4Lp+kKuxEVIpcBxIpw1Ll/iBrvo6MLowJnLlijncMztx2t/BFIdwek9jBrux4QTl+vUQTsz0DkVG7Dl0lq9/fwc/erVl0tbFdUvqePKRTfzmx28hFYtM4w5FZF7wyv5YxZERi/0Yz8MaA6E4Nl5baeVKjh+xmGzCSzVpxKKIiIiIiIiIiIhMO4W7RETkmvE86O+vNHT1QankN3Jl0pBOQyLhlxrU1xmWVAJdmbQCXSJXzVqcjhbcU69h8llM/1lM/3lwg3g1K9UgItcNay0/e/MIX/v+Dn617/iE64wxfOqeG/j9x+5g8w3L9H1BRK6dcqHSyOW3clEcxFiLdVwIJ7GpBXihpB/YMg7WDY6OWEwtqIxYDM30sxAREREREREREZF5TOEuERH5UMpl6OvzA119/f7fw2GoqYZMBmIxcF1DUyMjDV2xmC7ai3xQpr8d9/ivcAbOY7KdmN4zYMuVC9CN4LgzvUURSuUy/7ijha9//2X2HWufcF0o4PJbD9zKv/nNj7F2cT25XA4mLvUSEZmctVDKYwr9kO/HFAYwxZz/qUAIG05CvM5v5gpGAYMNxUcauWyyCRuvBePM7PMQERERERERERERGUPhLhERuWqlkh/m6un1m7qshWgU6uv9Jq5IBAIBw6JFsGwpLFoI4bACXSIfSiGLe+p13I5WKGRxek5i8gN4sWpsegkE1CoiM28oX+R/vriX//KDVzhxvnvCdalYmN99+A7+8FN301iTJBLR+EUR+QCsVxmxODA6YrFcwhogGMOGU9jUQj/UVWnfsrEqvOQCbKoJL9kE4ZTaLkVEREREREREROS6pnCXiIhckWJxNNA1MOAHuhIJWLDAD3SFQn6Aa8liP9C1YIEf8BKRD8kr47S/g3tmJ6aQxfSewWQvQCBKuW4dRFIzvUMRuvoH+ct/2sl/+6c36OzNTriuoSrBH33qbr708B2k4wp0ichV8kqQH8AU+ithrizGeljHgVACG6/3W7lCSXBcrONgEw2VMYsLsMnGSmOXiIiIiIiIiIiIyOyhcJeIiEyoUPDDXL09MJD1Sw0SCb+JK52GYNAfsbh0CSxdCo0N/ghGEbk2TO8ZfwTj4EXMQIc/ghGw6SXYRIOaRmTGnbnQy5//8FW+/cIesrnChOtWL6zhK5/ZzG9+/BbCQf0IIiJXwFoo50cbufIDmOKQ/yk3COEENr0IL5yEUAww2EAYm2zCSzZWxhXXg6OvOSIiIiIiIiIiIjK76V1OEREZJ58fDXRlB/3sSDIJS5b4DV2uC8mkYdlSP9BVXwdGARORays/gHtyB27nEcj34/SchOIgNlaHTS8CNzjTO5R5ruVkB3/6/R38/S/3USp7E67buGYhT332Xh67cx2u60zjDkVk1rEeFAf9EFeh32/oKhf9EYuBKDacwKaasKEEBPzmPxtJ4SWb/CBXshEbrVbwWUREREREREREROYchbtERIR8Hrp7oKcHhobAcSCV9McrplJ+oCuTNixb5ge6aqoV6BKZEtbDaduHe/qNygjG0zjZi9hQHK9+PYQSM71Dmede3X+Sr3/vZZ7bdWjSdQ9uWMW/fmIzH71pub5fiMjljYxYHMDk+6GYxXge1pjKiMXaMSMWA1hjsPE6v5kr1YRNNkEoPtPPQkTmIWMMNTU17zkmIiIiIiIiIjJVFO4SEZmncjk/zNXTOybQlfJHK6ZS/t+rq/2GrmVLIZPRG9YiU8n0t+Me+wVO9sLoCEZj8KqXY2O1aiKRGeN5Hs/tOsTXv/cyr7eennCd6zg8ce+NPPXEZm5a0TiNOxSR6561UC74Ia7CgD9qsTSIsWDdAIST2OhCf8RiMAbGwQZC2ETj+BGLbmimn4mICDU1NRw+fHimtyEiIiIiIiIi84jCXSIi88hIoKsHhnJ+gCudgsZGv6nLcaC21g90LV8GqZTCJCJTrpTHPfUazvn9mPwATvcJKGax8Xp/BKOjl2syMwrFEn//y3f40x/s4MCpCxOui4aD/PMHb+ePH/8IyxqrpnGHInLdsrYyYrES5ioMYEqFyojFCDachGSD38wViPqnRJJ4iSZ/9GKyERurAaNxriIiIiIiIiIiIiK6WigiMsddNtCVhsam0UBXXV2loWsZpJIKdIlMC2txOg/hntiByQ9gek9jsh0QjOHVrYewRjDKzOgfzPPtF3bzjR+9xtnOvgnXVSej/N5jd/L7j91JXVqj0UTmNa880shlCpVA18iIxTg2VoMXSvjf25xgZcRiLTbpB7m85AJ93xMRERERERERERGZgMJdIiJzUD4P3T2VQNcQuK4/arGpCZJjAl3Ll/kjF5MKdIlMr6FuAsd+idN7BjN4EdNzCmwZm16CTTRoBKPMiI6eAf7iJ6/z9D/tpCebm3Ddoro0f/z4R/gXW24nEQ1P4w5F5LoxPGJxOMxVHMJY649YDCWwqYV+K1cw7o9YdIPYZAM2uQAv2eR/rwtoxKKIiIiIiIiIiIjIlVC4S0RkjsgXRhu6BgcvP3Kxvs6wbJkCXSIzxivhntmDc24PpjCI030Sk+vFRqvwMksgoKCMTL/j7V382Q9e4W9e3EuuUJpw3fql9Tz1xGY++9GbCAbcadyhiMwoa6GUGx2xmO/HlPL+pwJhf8Rioh4vlIRgBDDYUBwv1VRp5mrCxms1YlFERERERERERETkA1K4S0RkFiuMCXRlK4GuVArq6/1glxq6RK4fpvcsgWM/xwx2YfrbMH3nwA1Rrl0D0cxMb0/mobePtvG1773MP76yH8+zE677yA1L+epnN7N14xqMWuVE5j7rQSGLqQS5yA9gvBLWAME4NprBCychlAA35I9YjFVjk40jzVyEk2qhFBEREREREREREblGFO4SEZllikU/zNXdA9msf90slfLDW+m0H+iqqTGsWA7LlkFKgS6RmVXK4556Fbd9P+T7cbqPQyk/chEcRw1IMn2stfzi7WN8/fs7eGnv0UnXPnbXOp56YjN3Ni+Zpt2JyIzwSiPjFU1+wA92WQ/rOP6IxWQDXigB4QQYF+u4le9hjf6IxWSTmidFZF4ZGhrib//2b8cd++3f/m2i0egM7UhERERERERE5jqFu0REZoFSCXp7/UBXf78f6EomYekSP9DlulBdXQl0LYV0WoEukeuB6TpG4NgvMbk+TO9pTLYDQgm8hlUQjM309mQeKZc9fvhqC3/6/R3sPXJuwnXBgMtv3H8zX3liM+sW103jDkVk2pQLlUaufkxhAIqDGAvWDUI4gU0vqjRzxQCDDUawySa81ILKiMU6BZNFZF7LZrP87//7/z7u2OOPP65wl4iIiIiIiIhMGYW7RESuU+Uy9PZBTzf09YO1kEzA4sVQlfEDXZmMH+havsy/LSLXiUIW98TLuJ1HINeN030SvBI2vQSbaNCoKpk2uUKRv3nxLf7LP77CsbauCdcloiG+9NBG/vBTd7OwNj2NOxSRKWUtlHJ+iCvfj8n3Y0p5/1PBCDaUgESDH+YKRPzjkZTfyJVagJdaAJGMvm+JiIiIiIiIiIiIzCCFu0REriOe5we5uruhr8//ezwOCxdAJgPBICSTfqBrxXKoqgKji20i1w9rcS4cwD2xA1MYwHSfxBnswkbTeJllGlsl06ZnYIhntu3iv/74NS70ZCdcV5eJ8wefvIsvP7KJqoTaJkRmPWv9Jq5KkItCP6ZcwhogGMNGM5VWrgS4Iawx2FgNttLK5aUWQCg+089CRERERERERERERMZQuEtEZIZZCwMD0NXtj14slyEahcYGP7wVCkEsNhroqq1VoEvkupTrJXDsFzg9pzGDnZieUwB41SuwsRq1nsi0ONfZx3/98Wt867nd9A/lJ1y3oqmaf/Xpe/jtB24lGg5O4w5F5JqyHhSyY8JcAxivjDUGQglsvB4vnIBQEhwX67jYRAM21YSXXIBNNip4LCIiIiIiIiIiInKdU7hLRGQGWAuDg9Dd47d0lUoQDkNdnT9yMRKBSMSwfJkf6GpoUKBL5LplPZy2fbinX8fkszjdJzC5XrxYDTazBFwFZ2TqHTh9gT/7/g7+7hf7KJbKE667dWUTT332Xh7/yHpc15nGHYrINeGV/QDXSJgri7Ee1nH9MFeyqdLMFQfjYANhbLIRr9LMZRP14OhtABEREREREREREZHZRO/qiohMo1zOD3N190A+D4GA385VXQWxGASDhqVLYeVyaGoC11WgS+S6NtRN4OhLOH3nMAPnMb1nwAlQrl0D0cxM707mgTdaT/H17+/gn14/MOm6j926gq9+9l7uv2WFwsIis4lXgnwlzFUYDnNZrBuAcBKbXlQJc8UAgw3FRsYr2tSCSnOkgpwiIiIiIiIiIiIis5nCXSIiU6xY9ANdXd0wNASuC5k0LF4EyaQf4Fq0EFasgCWLIRDQRXeR6561OO37cE+9hskP4HQdh0I/Nl6PTS8Gx53pHcocZq3lhd2H+Nr3dvDq/pMTrnMcw+P33MBTT2zmtlULpnGHIvKBlYuVZq4+v5mrOIixYN0gNpyETK0f5gpGAbCRpD9eMbUAL7UAIhmNARYRERERERERERGZYxTuEhGZAuUy9PT6oa7+fv8aWzoNjY2QqgS6mpr8kYvLlkI4rItwIrNGrtdv6+o9gxnowPSeBieIV7cOwqmZ3p3MYcVSme/96h2+/v0dtJzsmHBdOBjgn33iNr7ymXtY0VQ9jTsUkatWLkK+fyTMZYpDANhAyA9zJRr8MFcg4h+PVuGlF2CTlTBXODmTuxcRERERERERERGRaaBwl4jINeJ5fpCrqxt6e8FaSCZgyRK/qct1obbWsHKFH+qKxRToEplVrMU5vx/35Ct+W1f3cUyuDy+hti6ZWtlcgW+/sIdv/PBVTl/onXBdJh7hycc28f957C4aqhLTuEMRuWLlIibfVwl0jQ1zhbGRFDbV5Ie63DDWGGysGpta6I9ZTDZBKD7DT0BEREREREREREREppvCXSIiH4K1kB30G7q6u/3GrmgUmpqgugqCQUgmDatW+oGuTEaBLpFZKd9P4OjPcHqG27pOgROkXLcOImrrkqnR2Zvlv/3TG/zlP71BV//QhOsW1KT448fv5otbN5KMhadxhyLyvsoFf7zipWGuYAQbTlbCXClwQ36YK143PswVjMzwExARERERERERERGRmaZwl4jIB5DPQ1eX39JVKEAoBLU1UF0NkQhEIoYVy2HFCqivA2MU6hKZlazF6WiptHX143QNt3XVYdNL1NYlU+Lk+W7+yz++yl//9E2G8sUJ161dXMdTT2zmc/fdRCiol/Ui14WJxiyOhLkWVJq5xoS50gvxUguxyQUQCM3wExARERERERERERGR642uAomIXKFSCbp7/IaubNYfs5jJ+A1diQQEAoYli2HlSli4AFxXgS6RWa2QJXD0JZzuk5jsBUzPKXBcynVrIJKZ6d3JHPTOsXa+/v0dfP/ldyl73oTr7mpezFOfvZeH71iD4zjTuEMReQ+vNBrmyvVjioPA2DGLl4S5EvVjmrkU5hIRERERERERERGR96dwl4jIJDwP+vr8hq6+Pv9YMgnLlkI67Qe4mppg1UpYugRCIQW6ROYCc/EIgaM/99u6uo9jhnrx4rXYzBJw9PJJrh1rLS+/c4Kvf/9lfrrnyKRrH75jDU999l4+csPSadqdiLyHVx7TzNUHxUGMBRsIYcMpbKrxvWMW04sqzVxNCnOJiIiIiIiIiIiIyFXT1UkRkUtYC9lB6O7ym7rKZYjFYMECv6UrEIDqasPKFbByBcTjCnSJzBmlAu6Jl3E7WmGoC6frOBiHcu0aiGZmencyh5TLHv/0xgG+/r2X2X3o7ITrAq7D5+67ma985h5uWNYwjTsUEQCsB/mB0TBXIYuxthLmSkKiAS+cgkC4EuaqxaYW4aUXYJMLFeYSERERERERERERkQ9N4S4RkYpCAbq6/JaufB5CIait9QNdkQhEo4ZVK/1AV02NAl0ic43pbyNw+KeYwW5Mz0mcbCc2VoWXWQZucKa3J3NEvljiOy+9zZ/9YAeHz16ccF08EuKLWzfwR5+6m8X1menboMh8Z60f4BoOc+UHMNbDugG/kStTixdJQiAKgBevqYS5FvpjFoORGX4CIiIiIiIiIiIiIjLXKNwlIvNauQw9vX6oa2AAHAcyGVi8yB+/GAgYli31A10LFoDjKNQlMud4Zdwzu3HO7sbk+3AuHgOviFe9HBurBaP/7uXD683m+OZzu/ivP3qN890DE66rScX4l792F7/32Caqk7Fp3KHIPGUtlHKYXG8lzNWP8cpYx4VwEpteiBdJQTAGGGy0Ci+9EC+9CJtaCMHoTD8DERGZZrW1tXR1dc30NkRERERERERkHrmuwl3t7e2cPn2a3t5eBgb8i16PP/74zG5KROYca/0gV1eXH+zyPEgmYOkSP9jlOLCgyW/pWroUQiEFO0TmrKFuAod/ijNwHtN7FtN/DkIJvLq1EFD7inx47V39/L8/fo1ntu2ibzA/4bqlDRn+1afv4QufuI1YRGPcRKZUqVAJcvX5oa5yEWsMhBPYZCNeJA2hOGCw4YQf5EovwkstgnBipncvIiIiIiIiIiIiIvPMjIe7zp49y7e//W1eeuklzp07957PXy7ctXv3bl5//XUA0uk0X/jCF6Z6myIyB+TzcLELurugUIRwGBoa/LGLoRCk06NjF5NJBbpE5jRrcTpacE+8jMn3+21dxUFsahE22aS2LvnQDp/t5M9+8Ar/62dvUSiVJ1x30/JGnvrsZj6z+QYCrjuNOxSZR7yS38hVaecyxRzWAMEYNl6DF077oS3jYoNRf8RiejFeaiFE0vqeICIiIiIiIiIiIiIzasbCXZ7n8Wd/9md885vfpFwuY619zxozwZvoVVVVfOMb3xj5/H333ceSJUumdL8iMjuVy9Dd47d0ZbPgulCVgepqiMf9Vq4Vy2HVKqivm/jrjojMIcVBAkd/jtN1HJPtwPScAjeEV98MITWyyIez59BZvva9l/nxa62XfX077KM3L+erT2zmgdtX6XuPyLVmPShkMbk+TL7Xv20tNhDGRlLY1EJsJAVOEOsGsKmFI+1cGscrIiIiIiIiIiIiItebGQl3FYtFfv/3f5/XXnsNa+17LmgZYya9GLZy5UruvPNO3njjDYwx/OQnP+EP//APp3rbIjJLXHbsYhKWLYV0GgIBw8IFfqBryWL/7yIyP5jeMwQO/xST6/HDXUM9eIl6bHoxOGpNkg/GWsuLbx7ha997mZffOTHhOmMMn7y7ma9+9l42rFk4fRsUmeushVIek+/F5CrjFr0y1nGxkTRU1frtXIEw1hhsosFv5soswiYa9fVfRERERERERERERK5rMxLu+rf/9t/y6quvYowZCXJt3LiRO++8k2AwyJ/+6Z++731s2bKFN954A4BXXnlF4S4RIZ+Hrm4/1FUo+GMXGxv8lq5gEDIZw5rV/tjFWEyBLpF5xXq4p3finN2DGerB6ToGWMq1qyFaNdO7k1mqVC7zg5f38/Xv7+Cd4+0TrgsFXH7rgVv5ymfuYfXC2mncocgc5pUwuV7I9fmjFkt5rDEQTmCTTXiRFITigMFGq/Ayi/HSi7GphRAIzfTuRURERERERERERESu2LSHu1577TV+/OMfj4S6li5dyn/+z/+Zm266CYCzZ89eUbjr/vvv5//+v/9vrLW888475PN5wuHwFO9eRK43ngc9PXCxy2/rcl3IZPxAV6IydnHlCli9CmprNXZRZF7K9xM4vB2n7xym9wymvw3Cabzq5eDqAr9cvcFcgb/+6V7+/IevcPJ8z4TrUrEwX37kDv7gk3fTWJ2cvg2KzEXWQmEAk+vF5Pv82xZsMIKNZvwwVzgFxsUGI36QqxLoIqz//kRE5NrJ5/M899xz4449/PDDel9SRERERERERKbMtIe7vvGNbwD++JoFCxbwne98h+rq6qu+n4ULF5JKpejr66NUKnHs2DGam5uv9XZF5DpkLQwO+oGunh4olyGZgKVL/GCX6/pjF1evgiVLNHZRZD4zXccIHPkZJt+Hc/EoFLLY1CJssgkU9pSrdLFvkL989g3+20/e4GLf4ITrGquT/OEn7+JLD99BOh6Zxh2KzDGlvB/myvVeZtTicrxIGtyQfyzVhJdegk0vwsbr9DVeRESmTH9/P1/60pfGHTt06JDCXSIiIiIiIiIyZaY13NXT08PevXtHmnP+7b/9tx8o2DVs5cqV7N27F4Djx48r3CUyxxWL0N3th7pyOQiFoK7Ob+kKhyCdNqxeBatWQjyuC3oi85pXwj35Km7bPhjqwuk6Dk4Ar26dGlzkqp3u6OHPf/gq335hD4P54oTrVi+s4Suf2cxvfvwWwsEZmX4uMrt5ZSj0Y4Z6MfleTDGHNUAogU02+mGuyqhFL1aNzSypjFpcAG5wpncvIiIiIiIiIiIiIjIlpvWq0549e/A8D4CamhoeeOCBD3V/VVVVI7e7uro+1H2JyPXJWujr8wNdfX3+sUwaFi2EZBKCQcPyZbB6NTTUa+yiiABD3f4Yxv7zmJ5TOAMd2FgVXtVycBS4kSu3/8R5/vT7O/iHX71DqexNuG7jmoU89dl7eezOdbiuM407FJnlrIVSbkw7Vz/GethACBtJ46UX+aMWnQA2EMbLLK4EupZAODHTuxcRERERERERERERmRbTeoXzwoULgB++uPHGGz/0/cXj8ZHbg4MTj8YRkdknn/cDXV1dfmNXNAoLF/gtXa4LDQ2GNath+TI/4CUiAuBcOIB77JejYxiLObyqZRrRJVfMWsur+0/y9e/v4PldhyZd++CGVTz1xL3ce9MyhYtFrpRX9kcsVgJdppTHGgPhJDa9EC+SgWAUa4zf1pVejM0sxSbqwCg8KSIiIiIiIiIiIiLzz7SGu3p7e0dup1KpD31/+Xx+5HYgoCYOkdnO86Cnxw91DQz4Ia7qKqiugVgUolF/7OLqVZDJ6CK6iIxRLuAe/xVuxwFM9gKm5yS4Ibz69RCKzfTuZBbwPI9tOw/y9e/t4I0Dpydc5zoOn/3ojfzrz2zmphWN07hDkVlqXDtXT6Wdy2IDYb+dK5r227mMiw0n8DJL8DJLsOnFEAjP9O5FRERERERERERERGbctCaiEonR0RnZbPZD319nZ+fI7XQ6/aHvT0RmxuAQXLwI3d1QLkMiAUuX+uMXAwHD4kWwZo0/itFxFOoSkUsMdRM4+BxO9gKm+wRO9iJevBabWQqOO9O7k+tcoVjiu7/Yx5/+4BUOnr4w4bpoOMi/2HI7f/z4R1jaUDXhOhGh0s7Vj8n1jLZzOY7fzpVZ7LdzBSJYx8EmF/hhrqql2Gi1WhZFRERERERERERERC4xreGuqqrRC2EnT578UPdVLpdpbW0d+XtdXd2Huj8RmV6lMvR0+y1dg4MQDEJtLdRUQzgM6bQ/dnHVSojFdJFPRC7P6TyMe/QlTK4P5+JhKBfwalZiYzUzvTW5zvUP5vkfz+/mGz96jXMX+yZcV52M8vuP3cnvP3Ynten4hOtE5r2x7Vy5foz1xrRzZSCc9Nu5IslKO9cybGohBEIzvXMRERERERERERERkevatIa71q5dC4C1luPHj9Pe3k5j4wcbZ/OrX/2KoaEhAIwx3HrrrddqmyIyRayFbNYPdPX0+H9PpWDFcv9jMGhYtgzWroaGBv+/bRGRy/LKuCdfwW3bhxm8iOk+Dm4Yr/4GCEZnendyHTvfPcBf/OR1nnl2Jz3Z3ITrFtel+aPHP8IXt24gHlH4ROQ9rAf5gUo7Vw+mmMMa47dzpRf67VzBqN/OlVqAl1mKl1kK0Sq1c4mIiIiIiIiIiIiIXIVpDXetXLmShoYGzp8/j7WWb33rW/zJn/zJVd+P53n89//+3wE//LFu3TpSqdS13q6IXCOlEnR1+6MXczkIhaCxAaqrhxu7DGtXw/LlEA7rYp+IvI/8AIFDz+P0ncP0nMIZ6MCL12AzyzSGUSZ09NxF/uwHr/C3P3uLfLE04br1S+v56mfv5Yl7byQY0L8nkXHKRUyuF4bHLXplrBvERjN46UUQToPjYkNxvCo/zGXTi9XOJSIiIiIiIiIiIiLyIUxruAvg137t13jmmWew1vK3f/u33Hfffdxzzz1XdR9f+9rXeOutt0b+/uu//uvXeJci8mFZCwNZP9DV0+MfS6dh0UJIJiEUMqxaCatXQ22NAl0icmVMzykCh7djcr04nUegOIhXtQwbr1MTjFzWW0fO8bXv7+CHr+zH8+yE6+65cSlffeJetmxcreZIkWHWQnFopJ2LwoB/PBjHJhv9dq5QDGsc/++ZpdiqpdhYrb4mi4iIiIiIiIiIiIhcI9Me7vryl7/M3/3d35HNZimXy/zBH/wBf/Inf8LnP//59z23q6uL//Sf/hM/+tGPMMZgraW2tpYnnnhiGnYuIleiWBxt6crnIRyGpiaoqYZAABoaDGvXwPJlEAjoop+IXCFrcc7swj2zCzPUjdN1DIyLV78eQvGZ3p1cZ6y1/OLtY3ztey/z87eOTbr2sbua+epnN7Np3eJp2p3Idc56kO/DDFXGLZYKWMeBSBpbtQwbyYAbwgbClTDXMrzMEghGZnrnIiIiIiIiIiIiIiJz0rSHuzKZDP/u3/07/s//8//EGEM+n+f/+r/+L775zW+ydetW6uvrx63ft28fx44d45VXXuGll15icHAQa/3WBdd1+X/+n/+HUEhjPkRmkrUwMACdF6G31z+WycCSxZBI+KMWV6+CNWugKqNAl4hcpeIQgcM/xek5iek9i+k/B5EMXvUKcKb9pYxcx8pljx++2sLXv/cybx1tm3BdMODymx+7ha985h7WLq6bxh2KXKfKRT/INdQD+V6M52EDIWy0ym/nCifBONhYFV7VMr8xMdkExpnpnYuIiIiIiIiIiIiIzHkzckX08ccf5+TJk/zFX/zFSAPXqVOneOaZZ8ats9aOa/Sy1mKMGTnnq1/9Kps3b57u7YtIRakEF7tGW7oiEViwwG/pcl1oajSsXQtLl6ilS0Q+GNN/nsCh5/y2rotHId+HTS2qhAr0dUV8Q/kif/OzvfyXH7zC8fbuCdcloiF+9+E7+MNP3s2C2tQ07lDkOmMtlIZG2rlGxi2GEtjkArxoBoIxrONgU4vwqpbiVS2DSHoGNy0iIiIiIiIiIiIiMj/NWN3FV77yFZYsWcJ/+A//gVwuh6lcoB0OcA0bbukaG+oKhUL8x//4H3n88cdnYusi85q1MJD1A109Pf6xqsxoS1ckYlizGtashnRawQsR+eCcjlbcY7/A5HpxLh4B6+HVrlW4QEZ0Dwzx9LM7+YufvM6FnuyE6+ozCf7gk3fx5UfuIJOITuMORa4j1oN8/5hxi/kx4xaXY6MZcILYYLQS5lqOTS+GgFqSRURERERERERERERm0ozOMvr0pz/NnXfeyTPPPMMPfvADcrkcMBroGstai+u6/Nqv/Rp/9Ed/xKJFi6Z7uyLzWqkEXd3Q2em3dIXDsKAJqqshEIAFTYa1a2CJWrpE5MPyyrgnX8Ft24fJdmC6T0Iojle9SiEDAeBsZy/f+OFr/I8XdjMwVJhw3Yqmar7ymXv47QduJRIKTuMORa4TXskftZjrweR6MV7ZH7cYyfjtXOEUGAcvVo2tWoZXvRybaNC4RRERERERERERERGR68iMhrsAFixYwL//9/+ef/Nv/g179uxhz549tLe3093dTbFYpKqqitraWm677TbuvvtuUimN0BGZLtZCdhAudkJ3j38sk4bFiyFZaelavQrWrlFLl4hcI8VBAodewOk5jek5hTPQgZeox2aWKGwgHDh9gT/9/g6++4t9FEvlCdfdtmoBT312M5+6ez2uq383Ms8Uc34z11B3ZdyihWAcm2zEi2QgFMcag00vxMv4gS41IoqIiFy56upqDh069J5jIiIiIiIiIiJTZcbDXcOi0SibN29m8+bNM70VkXmvXIbuSkvXUA5CIWhqhJoav6WrsdGwbi0sVUuXiFxDZqCDwMFtmMEufwxjIeu3yMTrZnprMsNebz3F17+3g2ffODDpuo/ftpKnntjM/besGDfmW2ROsxYKA5Vxi92YYg5rTGXc4lJsJANuCBsI42WWYquX4WWWQiA80zsXERGZlRzHoba2dqa3ISIiIiIiIiLzyHUT7hKRmTc0BJ0XoavLv06YSsGCBf7HUKjS0rUWqjK6YC4i15Zz4QDu0Z9jcr1+sMtavLpmCCdmemsyQzzP44Xdh/na917mtZZTE65zHMOn77mBp57YzK2rFkzjDkVmkFeGfB9mqNtv6SqXsG4QG83gpRdDJAXGxUbSeNXL8aqWY5ON4LgzvXM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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 711,
"width": 1211
}
},
"output_type": "display_data"
}
],
"source": [
"weeks_ = weeks[:-1]\n",
"\n",
"az.plot_hdi(\n",
" weeks_,\n",
" retention_rate_highend.mean(\"customer_id\"),\n",
" hdi_prob=0.95,\n",
" color=\"C0\",\n",
" fill_kwargs={\"label\": \"high end\"},\n",
")\n",
"az.plot_hdi(\n",
" weeks_,\n",
" retention_rate_regular.mean(\"customer_id\"),\n",
" hdi_prob=0.95,\n",
" color=\"C1\",\n",
" fill_kwargs={\"label\": \"regular\"},\n",
")\n",
"\n",
"plt.plot(weeks_, retention_rate_highend_obs, color=\"k\", label=\"observed\")\n",
"plt.plot(weeks_, retention_rate_regular_obs, color=\"k\")\n",
"\n",
"plt.axvline(7, ls=\"--\", color=\"k\")\n",
"plt.ylim([0.5, 1.05])\n",
"plt.ylabel(\"Retention Rate\")\n",
"plt.legend()\n",
"plt.title(\"Figure 5\");"
]
},
{
"cell_type": "code",
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"id": "76930173",
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{
"name": "stdout",
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"text": [
"Last updated: Mon Nov 11 2024\n",
"\n",
"Python implementation: CPython\n",
"Python version : 3.10.14\n",
"IPython version : 8.26.0\n",
"\n",
"pymc : 5.13.0\n",
"pytensor: 2.20.0\n",
"\n",
"arviz : 0.19.0\n",
"matplotlib : 3.8.4\n",
"pandas : 2.2.2\n",
"xarray : 2024.6.0\n",
"pymc_marketing: 0.10.0\n",
"numpy : 1.26.4\n",
"\n",
"Watermark: 2.4.3\n",
"\n"
]
}
],
"source": [
"%load_ext watermark\n",
"%watermark -n -u -v -iv -w -p pymc,pytensor"
]
}
],
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