{ "cells": [ { "cell_type": "markdown", "id": "f842bf35-ae1d-4add-aac8-880e7b7f6e47", "metadata": {}, "source": [ "(lecture_12)=\n", "# Multilevel Models\n", ":::{post} Jan 7, 2024\n", ":tags: statistical rethinking, bayesian inference, multilevel models\n", ":category: intermediate\n", ":author: Dustin Stansbury\n", ":::\n", "\n", "This notebook is part of the PyMC port of the [Statistical Rethinking 2023](https://github.com/rmcelreath/stat_rethinking_2023) lecture series by Richard McElreath.\n", "\n", "[Video - Lecture 12 - Multilevel Models](https://youtu.be/iwVqiiXYeC4)# [Lecture 12 - Multilevel Models](https://www.youtube.com/watch?v=iwVqiiXYeC4)" ] }, { "cell_type": "code", "execution_count": 1, "id": "bb2ea6a0", "metadata": {}, "outputs": [], "source": [ "# Ignore warnings\n", "import warnings\n", "\n", "import arviz as az\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "import statsmodels.formula.api as smf\n", "import utils as utils\n", "import xarray as xr\n", "\n", "from matplotlib import pyplot as plt\n", "from matplotlib import style\n", "from scipy import stats as stats\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "# Set matplotlib style\n", "STYLE = \"statistical-rethinking-2023.mplstyle\"\n", "style.use(STYLE)" ] }, { "cell_type": "markdown", "id": "1c1a0733", "metadata": {}, "source": [ "# Repeat observations\n", "At the end of [Lecture 11 on Ordered Categories](), McElreath alluded to leveraging repeat observations of stories and participants in the Trolley dataset to improve estimation\n", "\n", "Using reapeat observations can lead to better estimators" ] }, { "cell_type": "code", "execution_count": 2, "id": "54aae9ca", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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caseresponseorderidagemaleeduactionintentioncontactstoryaction2
0cfaqu4296;434140Middle School001aqu1
1cfbur33196;434140Middle School001bur1
2cfrub41696;434140Middle School001rub1
3cibox33296;434140Middle School011box1
4cibur3496;434140Middle School011bur1
\n", "
" ], "text/plain": [ " case response order id age male edu action \\\n", "0 cfaqu 4 2 96;434 14 0 Middle School 0 \n", "1 cfbur 3 31 96;434 14 0 Middle School 0 \n", "2 cfrub 4 16 96;434 14 0 Middle School 0 \n", "3 cibox 3 32 96;434 14 0 Middle School 0 \n", "4 cibur 3 4 96;434 14 0 Middle School 0 \n", "\n", " intention contact story action2 \n", "0 0 1 aqu 1 \n", "1 0 1 bur 1 \n", "2 0 1 rub 1 \n", "3 1 1 box 1 \n", "4 1 1 bur 1 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "TROLLEY = utils.load_data(\"Trolley\")\n", "N_TROLLEY_RESPONSES = len(TROLLEY)\n", "N_RESPONSE_CATEGORIES = TROLLEY.response.max()\n", "TROLLEY.head()" ] }, { "cell_type": "code", "execution_count": 3, "id": "d48d2a78", "metadata": {}, "outputs": [], "source": [ "def plot_trolly_response_distribution(variable, n_display=50, error_kwargs={}):\n", "\n", " gb = TROLLEY[[variable, \"response\"]].groupby(variable)\n", " plot_data = gb.mean()\n", " plot_data.reset_index(inplace=True)\n", " plot_data = plot_data.iloc[:n_display]\n", "\n", " # IQR\n", " plot_data.loc[:, \"error_lower\"] = (\n", " plot_data[\"response\"] - gb.quantile(0.25).reset_index()[\"response\"]\n", " )\n", " plot_data.loc[:, \"error_upper\"] = (\n", " gb.quantile(0.75).reset_index()[\"response\"] - plot_data[\"response\"]\n", " )\n", "\n", " utils.plot_scatter(plot_data.index, plot_data.response, color=\"C0\")\n", " utils.plot_errorbar(\n", " plot_data.index,\n", " plot_data.response,\n", " plot_data.error_lower.abs(),\n", " plot_data.error_upper.abs(),\n", " colors=\"C0\",\n", " **error_kwargs,\n", " )\n", " plt.ylim(1, 7)\n", " plt.xlabel(f\"{variable} index\")\n", " plt.ylabel(\"response\")\n", " plt.title(f\"{variable} response distribution\")" ] }, { "cell_type": "markdown", "id": "68bd7d4a", "metadata": {}, "source": [ "## Variability in Story Responses\n", "### Story repeats\n", "12 stories" ] }, { "cell_type": "code", "execution_count": 4, "id": "0dbf58c5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "story\n", "aqu 662\n", "boa 662\n", "box 1324\n", "bur 1324\n", "car 662\n", "che 662\n", "pon 662\n", "rub 662\n", "sha 662\n", "shi 662\n", "spe 993\n", "swi 993\n", "Name: case, dtype: int64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "TROLLEY.groupby(\"story\").count()[\"case\"]" ] }, { "cell_type": "code", "execution_count": 5, "id": "f3a33271", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_trolly_response_distribution(\"story\")" ] }, { "cell_type": "markdown", "id": "1229f5dc", "metadata": {}, "source": [ "### Variatbility Participant Responses\n", "331 individuals" ] }, { "cell_type": "code", "execution_count": 6, "id": "a94860e9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "id\n", "96;434 30\n", "96;445 30\n", "96;451 30\n", "96;456 30\n", "96;458 30\n", " ..\n", "98;225 30\n", "98;227 30\n", "98;245 30\n", "98;257 30\n", "98;299 30\n", "Name: case, Length: 331, dtype: int64" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "TROLLEY.groupby(\"id\").count()[\"case\"]" ] }, { "cell_type": "code", "execution_count": 7, "id": "d40a9f0e", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_trolly_response_distribution(\"id\", error_kwargs={\"error_width\": 6})" ] }, { "cell_type": "markdown", "id": "b1f6e2a4", "metadata": {}, "source": [ "### Ways of modeling variability across observations\n", "\n", "#### Complete Pooling\n", "\n", "$$\n", "\\begin{align}\n", "R_i &\\sim \\text{OrderedLogit}(\\phi_i, \\alpha) \\\\\n", "\\phi_i &= \\beta\n", "\\end{align}\n", "$$\n", "\n", "- global $\\beta$ parameter\n", "- treat all unique categories (e.g. story and/or participant) as the same\n", "- **underfits data** because model isn't flexible enough\n", "\n", "#### No Pooling\n", "\n", "$$\n", "\\begin{align}\n", "R_i &\\sim \\text{OrderedLogit}(\\phi_i, \\alpha) \\\\\n", "\\phi_i &= \\beta_{S[i]}\n", "\\end{align}\n", "$$\n", "\n", "- treat all unique categories as independent; each category gets its own $\\beta_{S}$\n", "- model has \"anderograde amnesia\"\n", " - doesn't share information across consecutive observations\n", " - inefficient\n", "- **overfits data** because model too flexible, and fits to individual noise\n", " \n", "#### Partial Pooling (Multi-level Models)\n", "\n", "$$\n", "\\begin{align}\n", "R_i &\\sim \\text{OrderedLogit}(\\phi_i, \\alpha) \\\\\n", "\\phi_i &= \\beta_{S[i]} \\\\\n", "\\beta_i &\\sim \\text{Prior}_\\beta(\\eta) \\\\\n", "\\eta &\\sim \\text{PopulationPrior}(\\theta)\n", "\\end{align}\n", "$$\n", "\n", "- parameters are drawn from a global distribution that is shared across the population\n", "- allows flexibility without overfitting\n", "- shares information across observations\n", " - has \"memory\"\n", " - more efficient\n", " - learns faster\n", " - get adaptive regularization for free\n", " - **resists overfitting**\n", " - improves estimates for imbalanced sampling" ] }, { "cell_type": "markdown", "id": "66b94447", "metadata": {}, "source": [ "# Case Study: Reed Frog Survival\n", "- 48 group; \"tanks\"\n", "- Treatment: density, size, and predation level\n", "- Outcome: survival rate" ] }, { "cell_type": "code", "execution_count": 8, "id": "8e6616c4", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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densitypredsizesurvpropsurv
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" ], "text/plain": [ " density pred size surv propsurv\n", "0 10 no big 9 0.9\n", "1 10 no big 10 1.0\n", "2 10 no big 7 0.7\n", "3 10 no big 10 1.0\n", "4 10 no small 9 0.9" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FROGS = utils.load_data(\"reedfrogs\")\n", "N_TANKS = len(FROGS)\n", "FROGS.head()" ] }, { "cell_type": "code", "execution_count": 9, "id": "f0553ab2", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "T\n", "\n", "tank, T\n", "\n", "\n", "\n", "S\n", "\n", "survivial, S\n", "\n", "\n", "\n", "T->S\n", "\n", "\n", "\n", "\n", "\n", "D\n", "\n", "density, D\n", "\n", "\n", "\n", "D->S\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "size, G\n", "\n", "\n", "\n", "G->S\n", "\n", "\n", "\n", "\n", "\n", "P\n", "\n", "predators, P\n", "\n", "\n", "\n", "P->S\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"T\", \"S\"), (\"D\", \"S\"), (\"G\", \"S\"), (\"P\", \"S\")],\n", " node_props={\n", " \"T\": {\"label\": \"tank, T\"},\n", " \"S\": {\"label\": \"survivial, S\", \"color\": \"red\"},\n", " \"D\": {\"label\": \"density, D\"},\n", " \"G\": {\"label\": \"size, G\"},\n", " \"P\": {\"label\": \"predators, P\"},\n", " },\n", ")" ] }, { "cell_type": "markdown", "id": "837d832c-d4e5-4b0e-b04a-e56c6e9b9a45", "metadata": {}, "source": [ "- $T$: tank ID\n", "- $D$: tank density - the number of tadpoles in each tank - counts\n", "- $G$: tank size - categorical (large/small)\n", "- $P$: presence/absence of predators - categorical\n", "- $S$: survival, the number of tadpoles that survived - counts\n", "- propsurv: survival rate $\\frac{S}{D}$" ] }, { "cell_type": "markdown", "id": "83f3b67b-8ed5-4b77-bec3-b066023605ce", "metadata": {}, "source": [ "### Plot average survival rates for all tanks" ] }, { "cell_type": "code", "execution_count": 10, "id": "73885a3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(FROGS.index, FROGS.propsurv, color=\"k\")\n", "\n", "# Plot average survival rate across tanks\n", "global_mean = FROGS.propsurv.mean()\n", "plt.axhline(\n", " global_mean, color=\"k\", linestyle=\"--\", label=f\"average tank survival: {global_mean:1.2}\"\n", ")\n", "\n", "# Highlight different densities\n", "density_change = FROGS[FROGS.density.diff() > 0].index.tolist()\n", "density_change.append(N_TANKS - 1)\n", "start = 0\n", "density_labels = [\"low\", \"medium\", \"high\"]\n", "for ii in range(3):\n", " end = density_change[ii]\n", " plt.axvspan(start, end, alpha=0.1, label=f\"{density_labels[ii]} density\", color=f\"C{ii+2}\")\n", " start = end\n", "\n", "plt.xlabel(\"tank\")\n", "plt.xlim([-5, N_TANKS])\n", "plt.ylabel(\"proportion survival\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "6647e34c", "metadata": {}, "source": [ "## Let's build a (multi-level) model\n", "\n", "$$\n", "\\begin{align*}\n", "S_i &\\sim \\text{Binomial}(D_i, p_i) \\\\\n", "\\text{logit}(p_i) &= \\alpha_{T[i]} \\\\\n", "\\alpha_j &\\sim \\text{Normal}(\\bar \\alpha, \\sigma_?) \\\\ \n", "\\bar \\alpha &\\sim \\text{Normal}(0, 1.5) \\\\\n", "\\end{align*}\n", "$$\n" ] }, { "cell_type": "markdown", "id": "03a5f6ec", "metadata": {}, "source": [ "### What about the prior variance $\\sigma$? \n", "\n", "For now, let's try setting $\\sigma$ manually via using cross-validation to see the effect on the multi-level model (we'll estiamate it later)" ] }, { "cell_type": "code", "execution_count": 11, "id": "0d6fdadb", "metadata": {}, "outputs": [], "source": [ "# Set up data / coords\n", "\n", "N_SURVIVED = FROGS[\"surv\"].astype(float)\n", "N_TRIALS = FROGS[\"density\"].values.astype(float)\n", "PREDATOR_ID, PREDATORS = pd.factorize(FROGS[\"pred\"], sort=True)" ] }, { "cell_type": "code", "execution_count": 12, "id": "b06c051d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running grid search...\n", " sigma=0.1\n", " sigma=0.36\n", " sigma=0.62\n", " sigma=0.87\n", " sigma=1.1\n", " sigma=1.4\n", " sigma=1.6\n", " sigma=1.9\n", " sigma=2.2\n", " sigma=2.4\n", " sigma=2.7\n", " sigma=2.9\n", " sigma=3.2\n", " sigma=3.5\n", " sigma=3.7\n", " sigma=4.0\n", " sigma=4.2\n", " sigma=4.5\n", " sigma=4.7\n", " sigma=5.0\n" ] } ], "source": [ "# Run grid search over sigmas\n", "import logging\n", "\n", "# Turn off logging for simulation\n", "pmyc_logger = logging.getLogger(\"pymc\")\n", "pmyc_logger.setLevel(logging.CRITICAL)\n", "\n", "n_sigmas = 20\n", "sigmas = np.linspace(0.1, 5, n_sigmas)\n", "inferences = []\n", "print(\"Running grid search...\")\n", "for sigma in sigmas:\n", " print(\"\\r\", f\"sigma={sigma:1.2}\")\n", " with pm.Model() as m:\n", " # Prior\n", " alpha_bar = pm.Normal(\"alpha_bar\", 0, 1.5)\n", " alpha = pm.Normal(\"alpha\", alpha_bar, sigma, shape=N_TANKS)\n", "\n", " # Likelihood -- record p_survived for visualization\n", " p_survived = pm.Deterministic(\"p_survived\", pm.math.invlogit(alpha))\n", " S = pm.Binomial(\"survived\", n=N_TRIALS, p=p_survived, observed=N_SURVIVED)\n", " inference = pm.sample(progressbar=False)\n", "\n", " # log-likelihood for LOOCV scores and model comparison\n", " inference = pm.compute_log_likelihood(inference, progressbar=False)\n", "\n", " inferences.append(inference)\n", "\n", "# Turn logging back on\n", "pmyc_logger.setLevel(logging.INFO)" ] }, { "cell_type": "code", "execution_count": 13, "id": "47d103e8", "metadata": {}, "outputs": [], "source": [ "def plot_survival_posterior(inference, sigma=None, color=\"C0\", hdi_prob=0.89):\n", "\n", " plt.figure()\n", "\n", " # Plot observations\n", " plt.scatter(x=FROGS.index, y=FROGS.propsurv, color=\"k\", s=50, zorder=3)\n", "\n", " # Posterior per-tank mean survival probability\n", " posterior_mean = inference.posterior.mean(dim=(\"chain\", \"draw\"))[\"p_survived\"]\n", "\n", " utils.plot_scatter(FROGS.index, posterior_mean, color=color, zorder=50, alpha=1)\n", "\n", " # Posterior HDI error bars\n", " hdis = az.hdi(inference.posterior, var_names=\"p_survived\", hdi_prob=hdi_prob)[\n", " \"p_survived\"\n", " ].values\n", "\n", " error_upper = hdis[:, 1] - posterior_mean\n", " error_lower = posterior_mean - hdis[:, 0]\n", " xs = np.arange(len(posterior_mean))\n", " utils.plot_errorbar(\n", " xs=xs,\n", " ys=posterior_mean,\n", " error_lower=error_lower,\n", " error_upper=error_upper,\n", " colors=color,\n", " error_width=8,\n", " )\n", "\n", " # Add mean indicators\n", " empirical_mean = FROGS.propsurv.mean()\n", " plt.axhline(y=empirical_mean, c=\"k\", linestyle=\"--\", label=\"Global Mean\")\n", "\n", " # Posterior mean\n", " global_posterior_mean = utils.invlogit(\n", " inference.posterior.mean(dim=(\"chain\", \"draw\"))[\"alpha_bar\"]\n", " )\n", " plt.axhline(global_posterior_mean, linestyle=\"--\", label=\"Posterior Mean\")\n", "\n", " # Add tank density indicators\n", " plt.axvline(15.5, color=\"k\", alpha=0.25)\n", " plt.axvline(31.5, color=\"k\", alpha=0.25)\n", "\n", " if sigma is not None:\n", " plt.title(f\"$\\\\sigma={sigma:1.2}$\")\n", "\n", " plt.ylim([0, 1.05])\n", " plt.xlabel(\"tank #\")\n", " plt.ylabel(\"proportion survival\")\n", "\n", " plt.legend()" ] }, { "cell_type": "code", "execution_count": 14, "id": "59a939b3-2dcf-46fc-a859-099e08a4f905", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show extremes of parameter grid\n", "for idx in [0, -1]:\n", " plot_survival_posterior(inferences[idx], sigmas[idx])" ] }, { "cell_type": "markdown", "id": "e7d952a8-d114-4626-885c-b8556127dc33", "metadata": {}, "source": [ "### Identifying the optimal $\\sigma$ via Cross-validation\n", "\n", "- $\\sigma=0.1$ underfits the data, the model isn't flexible enough to capture the variability of the different tanks\n", "- $\\sigma=5.0$ overfits the data, the model is too flexible and the posterior centers around each datapoint\n", "- $\\sigma_{optimal}=?$ We can compare the LOOCV scores for models fit with each $\\sigma$ value in the parameter grid, and identify the model with the lowest score." ] }, { "cell_type": "code", "execution_count": 15, "id": "1e1b7fe2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from collections import OrderedDict\n", "\n", "\n", "def plot_model_comparisons(sigmas, inferences, multilevel_posterior=None):\n", " plt.subplots(figsize=(10, 4))\n", " comparisons = pm.compare(OrderedDict(zip(sigmas, inferences)), scale=\"deviance\")\n", " comparisons.sort_index(inplace=True)\n", "\n", " utils.plot_scatter(\n", " xs=sigmas, ys=comparisons[\"elpd_loo\"], color=\"C0\", label=\"Cross-validation score\"\n", " )\n", " utils.plot_errorbar(\n", " xs=sigmas,\n", " ys=comparisons[\"elpd_loo\"],\n", " error_lower=comparisons[\"se\"],\n", " error_upper=comparisons[\"se\"],\n", " colors=\"C0\",\n", " )\n", "\n", " # Highlight the optimal sigma\n", " best = comparisons[comparisons[\"rank\"] == 0]\n", " plt.scatter(\n", " x=best.index,\n", " y=best[\"elpd_loo\"],\n", " s=300,\n", " marker=\"*\",\n", " color=\"C1\",\n", " label=\"$\\\\sigma_{LOOCV}^*$:\" + f\" {best.index[0]:1.2}\",\n", " zorder=20,\n", " )\n", "\n", " # If provided, overlay the multilevel posterior (or, a scaled/offset version of it)\n", " if multilevel_posterior is not None:\n", " from scipy.stats import gaussian_kde\n", "\n", " kde = gaussian_kde(multilevel_inference.posterior[\"sigma\"][0])\n", " sigma_grid = np.linspace(0.1, 5, 100)\n", " sigma_posterior = kde(sigma_grid)\n", " max_sigma_posterior = sigma_posterior.max()\n", " multiplier = (0.7 * comparisons[\"elpd_loo\"].max()) / max_sigma_posterior\n", " offset = comparisons[\"elpd_loo\"].min() * 0.95\n", " plot_posterior = sigma_posterior * multiplier + offset\n", "\n", " plt.plot(sigma_grid, plot_posterior, color=\"k\", linewidth=3, label=\"Multi-level Posterior\")\n", "\n", " plt.xlim([0, 4])\n", " plt.xlabel(\"$\\\\sigma$\")\n", " plt.ylabel(\"LOOCV Score (deviance)\")\n", " plt.legend()\n", "\n", " # Output optimal parameters\n", " optimal_sigma = best.index.values[0]\n", " optimal_sigma_idx = sigmas.tolist().index(optimal_sigma)\n", "\n", " return optimal_sigma_idx, optimal_sigma\n", "\n", "\n", "optimal_sigma_idx, optimal_sigma = plot_model_comparisons(sigmas, inferences);" ] }, { "cell_type": "markdown", "id": "8e08ef16-3e33-4b93-837d-f011115c123d", "metadata": {}, "source": [ "### Model with the optimal $\\sigma$ identified through cross-validation" ] }, { "cell_type": "code", "execution_count": 16, "id": "9704fa01", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_survival_posterior(inferences[optimal_sigma_idx], sigmas[optimal_sigma_idx])" ] }, { "cell_type": "markdown", "id": "3e50263f-a052-4c98-99fa-2d123d2954cb", "metadata": {}, "source": [ "The optimal model\n", "\n", "- is regularized, trading off bias and variance\n", "- **demonstrates shrinkage**:\n", " - posterior means do not hover over datapoints, but are \"pulled\" toward the global mean.\n", " - the amount of \"pull\" is stronger for datapoints further away from the mean" ] }, { "cell_type": "markdown", "id": "1ab4fae6", "metadata": {}, "source": [ "## Building a Multilievel (Hierarchical) Model\n", "\n", "### Automatic regularization\n", "In principle, we can estimate optimal hyperparameter values using cross-validation like we did above, but we don't need to. We can simply learn the optimal $\\sigma$ by using a hierarhcical model structure, putting a prior distribution on that variance parameter. \n", "\n", "\n", "### Baby's first the multi-level model\n", "\n", "$$\n", "\\begin{align*}\n", "S_i &\\sim \\text{Binomial}(D_i, p_i)\\\\\n", "\\text{logit}(p_i) &= \\alpha_{T[i]} \\\\\n", "\\alpha_j &\\sim \\text{Normal}(\\bar \\alpha, \\sigma_?) \\\\ \n", "\\bar \\alpha &\\sim \\text{Normal}(0, 1.5) \\\\\n", "\\sigma &\\sim \\text{Exponential}(1)\n", "\\end{align*}\n", "$$\n", "\n", "Note that this prior is shared amongst all groups, allowing it to perform partial pooling." ] }, { "cell_type": "markdown", "id": "484f42af-dd60-46ff-8fd2-3b81dd1bbce8", "metadata": {}, "source": [ "#### Plot the priors for baby's first multi-level model" ] }, { "cell_type": "code", "execution_count": 17, "id": "18068020", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_samples = 100_000\n", "fig, axs = plt.subplots(1, 3, figsize=(10, 3))\n", "\n", "sigmas_ = stats.expon(1).rvs(size=n_samples)\n", "az.plot_dist(sigmas_, ax=axs[0])\n", "axs[0].set_title(\"$\\\\sigma \\\\sim Exponential(1)$\")\n", "axs[0].set_xlim([0, 5])\n", "axs[0].set_ylim([0, 1])\n", "\n", "\n", "alpha_bars_ = stats.norm(0, 1.5).rvs(size=n_samples)\n", "az.plot_dist(alpha_bars_, ax=axs[1])\n", "axs[1].set_xlim([-6, 6])\n", "axs[1].set_title(\"$\\\\bar \\\\alpha \\\\sim Normal(0, 1.5)$\")\n", "\n", "\n", "alphas_ = stats.norm.rvs(alpha_bars_, sigmas_)\n", "az.plot_dist(alphas_, ax=axs[2])\n", "axs[2].set_xlim([-6, 6])\n", "axs[2].set_title(\"$\\\\alpha \\\\sim Normal(\\\\bar \\\\alpha, \\\\sigma)$\")\n", "plt.suptitle(\"Priors\", fontsize=18);" ] }, { "cell_type": "markdown", "id": "c94f45e5", "metadata": {}, "source": [ "Note the prior distribution for $a_j$ (far right plot above) is **a mixture of Normal distributions** with different means (sampled from the $\\bar a$ prior distribution) and variances (sampled from the $\\sigma$ prior distribution). Therefore it isn't a Normal, but a thicker-tailed distribution, more akin to a student-t\n", "\n", "### Fit the multi-level model" ] }, { "cell_type": "code", "execution_count": 18, "id": "5498fefb", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [sigma, alpha_bar, alpha]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "03886e8641844f0d81cf2c14ac351d07", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "911ab5750ca94cdf83358208414dcc39",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as multilevel_model:\n",
    "\n",
    "    # Priors\n",
    "    sigma = pm.Exponential(\"sigma\", 1)\n",
    "    alpha_bar = pm.Normal(\"alpha_bar\", 0, 1.5)\n",
    "    alpha = pm.Normal(\"alpha\", alpha_bar, sigma, shape=N_TANKS)\n",
    "\n",
    "    # Likelihood (record log p_survived for visualization)\n",
    "    p_survived = pm.Deterministic(\"p_survived\", pm.math.invlogit(alpha))\n",
    "    S = pm.Binomial(\"survived\", n=N_TRIALS, p=p_survived, observed=N_SURVIVED)\n",
    "\n",
    "    multilevel_inference = pm.sample()\n",
    "\n",
    "    # Log-likelihood for model comparison\n",
    "    multilevel_inference = pm.compute_log_likelihood(multilevel_inference)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07d357b9-b56c-42f0-844c-0a525d8be4e6",
   "metadata": {},
   "source": [
    "#### Summarize the multi-level model posterior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2150c0a8-70ed-457f-a2f9-36c5560546ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
alpha_bar1.3450.2630.8801.8510.0040.0034341.02916.01.0
sigma1.6220.2151.2372.0220.0040.0032726.03092.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", "alpha_bar 1.345 0.263 0.880 1.851 0.004 0.003 4341.0 \n", "sigma 1.622 0.215 1.237 2.022 0.004 0.003 2726.0 \n", "\n", " ess_tail r_hat \n", "alpha_bar 2916.0 1.0 \n", "sigma 3092.0 1.0 " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(multilevel_inference, var_names=[\"alpha_bar\", \"sigma\"])" ] }, { "cell_type": "markdown", "id": "b7caf3e5-0d57-413b-80b1-ce3a8d0826a7", "metadata": {}, "source": [ "#### The multi-level Mode's Posterior HDI overlaps the optimal value found via cross-validation" ] }, { "cell_type": "code", "execution_count": 20, "id": "91c63c1b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimal_sigma_idx, optimal_sigma = plot_model_comparisons(\n", " sigmas, inferences, multilevel_inference.posterior\n", ");" ] }, { "cell_type": "markdown", "id": "fdb0ab0b", "metadata": {}, "source": [ "- multi-level models learn population variation automatically, efficiently\n", "- get regularization for free\n", "\n", "### Comparing multi-level and fixed-sigma model\n", "\n", "#### Fixed sigma model\n", "$$\n", "\\begin{align*}\n", "S_i &\\sim \\text{Binomial}(D_i, p_i)\\\\\n", "\\text{logit}(p_i) &= \\alpha_{T[i]} \\\\\n", "\\alpha_j &\\sim \\text{Normal}(\\bar \\alpha, 1) \\\\ \n", "\\bar \\alpha &\\sim \\text{Normal}(0, 1.5) \\\\\n", "\\end{align*}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "10c1a0be", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha_bar, alpha]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "390f9fd801114ae180e43e7f3f84e083", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ec0da8f87f084b1690cf01f5c53c7398",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as fixed_sigma_model:\n",
    "    # Sigma is fixed globally (no prior, and thus fewer defined params)\n",
    "    sigma = 1\n",
    "\n",
    "    # Prior\n",
    "    alpha_bar = pm.Normal(\"alpha_bar\", 0, 1.5)\n",
    "    alpha = pm.Normal(\"alpha\", alpha_bar, sigma, shape=N_TANKS)\n",
    "\n",
    "    # Likelihood -- record p_survived for visualization\n",
    "    p_survived = pm.Deterministic(\"p_survived\", pm.math.invlogit(alpha))\n",
    "    S = pm.Binomial(\"survived\", n=N_TRIALS, p=p_survived, observed=N_SURVIVED)\n",
    "\n",
    "    fixed_sigma_inference = pm.sample()\n",
    "    fixed_sigma_inference = pm.compute_log_likelihood(fixed_sigma_inference)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "4bf2d8f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "
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rankelpd_loop_looelpd_diffweightsedsewarningscale
multi-level0-111.62076232.4980490.0000001.04.0645960.000000Truelog
fixed-sigma1-122.34471539.21085610.7239530.05.0506363.077553Truelog
\n", "
" ], "text/plain": [ " rank elpd_loo p_loo elpd_diff weight se \\\n", "multi-level 0 -111.620762 32.498049 0.000000 1.0 4.064596 \n", "fixed-sigma 1 -122.344715 39.210856 10.723953 0.0 5.050636 \n", "\n", " dse warning scale \n", "multi-level 0.000000 True log \n", "fixed-sigma 3.077553 True log " ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "comparison = az.compare({\"multi-level\": multilevel_inference, \"fixed-sigma\": fixed_sigma_inference})\n", "\n", "# Multi-level model has fewer effective parameters, despite having more defined parameters\n", "assert comparison.loc[\"multi-level\", \"p_loo\"] < comparison.loc[\"fixed-sigma\", \"p_loo\"]\n", "comparison" ] }, { "cell_type": "markdown", "id": "c6e2c276-31a4-4250-956b-7dbcfb598076", "metadata": {}, "source": [ "- multi-level model performs better in terms of LOO score (no surprise)\n", "- multi-level model **has fewer effective parameters** despite having more programmed paramters\n", " - this is because the model is more efficient, and shares information across parameters\n", " \n", "#### Demonstrating Posterior Uncertainty due to sample size" ] }, { "cell_type": "code", "execution_count": 23, "id": "94549615", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_survival_posterior(multilevel_inference)" ] }, { "cell_type": "markdown", "id": "5d04cca2-9c3c-4f04-b9cf-467446918223", "metadata": {}, "source": [ "- Small tanks (on the far left of the above figure) have fewer observations, and thus\n", " - wider posterior variances\n", " - larger amount of shrinkage toward the global mean\n", "- Large tanks (on the far right of the above figure) have more observations, and thus\n", " - tighter posterior variances\n", " - less shrinkage toward the global mean" ] }, { "cell_type": "markdown", "id": "86612c8e", "metadata": {}, "source": [ "## Including the presence of predators" ] }, { "cell_type": "code", "execution_count": 24, "id": "669a02d0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PREDATOR_COLORS = [\"C0\" if p == 1 else \"C1\" for p in PREDATOR_ID]\n", "\n", "# Multi-level model without predators (same plot as above, but with different color-coding)\n", "plot_survival_posterior(multilevel_inference, color=PREDATOR_COLORS)\n", "plt.title(\"Predators absent (blue) or present (red)\");" ] }, { "cell_type": "markdown", "id": "a6d8c2b6-3506-4afe-b5cf-f04ae1c553ad", "metadata": {}, "source": [ "Highlighting the tanks with predators shows that the presence of predators (red) decreases survival rates" ] }, { "cell_type": "markdown", "id": "cb80ce29", "metadata": {}, "source": [ "#### Multilevel model with predator effects" ] }, { "cell_type": "code", "execution_count": 25, "id": "346d3f9a", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "T\n", "\n", "tank, T\n", "\n", "\n", "\n", "S\n", "\n", "survivial, S\n", "\n", "\n", "\n", "T->S\n", "\n", "\n", "\n", "\n", "\n", "D\n", "\n", "density, D\n", "\n", "\n", "\n", "D->S\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "size, G\n", "\n", "\n", "\n", "G->S\n", "\n", "\n", "\n", "\n", "\n", "P\n", "\n", "predators, P\n", "\n", "\n", "\n", "P->S\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"T\", \"S\"), (\"D\", \"S\"), (\"G\", \"S\"), (\"P\", \"S\")],\n", " node_props={\n", " \"T\": {\"label\": \"tank, T\"},\n", " \"S\": {\"label\": \"survivial, S\", \"color\": \"red\"},\n", " \"D\": {\"label\": \"density, D\"},\n", " \"G\": {\"label\": \"size, G\"},\n", " \"P\": {\"label\": \"predators, P\"},\n", " },\n", " edge_props={(\"T\", \"S\"): {\"color\": \"red\"}, (\"P\", \"S\"): {\"color\": \"red\"}},\n", ")" ] }, { "cell_type": "markdown", "id": "16aef055-8253-4850-a065-b12b9e9d758a", "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", "S_i &\\sim \\text{Binomial}(D_i, p_i)\\\\\n", "\\text{logit}(p_i) &= \\alpha_{T[i]} + \\beta_P P_i\\\\\n", "\\beta_P &\\sim \\text{Normal}(0, .5) \\\\\n", "\\alpha_j &\\sim \\text{Normal}(\\bar \\alpha, \\sigma) \\\\ \n", "\\bar \\alpha &\\sim \\text{Normal}(0, 1.5) \\\\\n", "\\sigma &\\sim \\text{Exponential}(1)\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 26, "id": "164a96d7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [sigma, alpha_bar, beta_predator, alpha]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1086ac68e95640a28d0dbe023d059194", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 2 seconds.\n"
     ]
    }
   ],
   "source": [
    "TANK_ID = np.arange(N_TANKS)\n",
    "with pm.Model() as predator_model:\n",
    "\n",
    "    # Global Priors\n",
    "    sigma = pm.Exponential(\"sigma\", 1)\n",
    "    alpha_bar = pm.Normal(\"alpha_bar\", 0, 1.5)\n",
    "\n",
    "    # Predator-specific prior\n",
    "    beta_predator = pm.Normal(\"beta_predator\", 0, 0.5)\n",
    "\n",
    "    # Tank-specific prior\n",
    "    alpha = pm.Normal(\"alpha\", alpha_bar, sigma, shape=N_TANKS)\n",
    "\n",
    "    # Record p_survived for visualization\n",
    "    p_survived = pm.math.invlogit(alpha[TANK_ID] + beta_predator * PREDATOR_ID)\n",
    "    p_survived = pm.Deterministic(\"p_survived\", p_survived)\n",
    "\n",
    "    # Likelihood\n",
    "    S = pm.Binomial(\"survived\", n=N_TRIALS, p=p_survived, observed=N_SURVIVED)\n",
    "\n",
    "    predator_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "8251fd23",
   "metadata": {},
   "outputs": [
    {
     "data": {
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qGYOx7VQY0EoBOcfg0CUHVpywoaRGt4l8I4+vD5rRKbny/A0kpWZNgZaP1MDCOCWLdgkcTpdXX1tLjlnQM13u2YItivj5qDSA1isYdEwK7dgJCRUF281QKHlOCQkXZ2EprPtPAnx1ACBY7BAsdjgLSqHIyZKUH3Xb33BA2xeaAdPBquPdy0WHDdbff4F58+dw5h+M+OCv2tm87HVEqHZe+n5dj7obCuUQbpy+PGCWvNbKGfzf8Hik13ii0lKnxtBMFV7eUoEzNQb2fnXAjGdGxmPZNx8GlVIzGik4AzEmS4WP91Uf/5kKHq9sNWBGjgbtE2RgGAYFJh6/HLVge770idL0rhooZUzMHAtpHijYbmREUcSxUhfWn7HhVJkLFpcIBccgQ89hWKYSfVsqPH7dA8EPfhJFESdKXThc7ITRIYJjgBQti/4tlUjw8eg8GipsAjadt+N0mRMWlwglx6DV5WNvpafTOdYJVrtHoC3BC7DuPwmBcYBRKPDfHUZ8VtQeuhHtPYoyChU0g26AZtANyHKeRue+/SJa92Q1C4O9OmDZc9GB/q2UXss6eRF/FEi/5JMa8LrxhXIIN05Wl4gVJ6VjCCZ2VEsC7SpqGYNZPbR4YXP1eIbzBh4rt+7D/KcfAqtJgKxtHyg0CRCddrgunYLrwmEAwFtPPYh2nbpjRJtR1Sk4AXBt+kCR2h6MXAnBUg7nmT1AWb67/Jis0RE8emBghhI/H7VKWuyPlbrw/CYDElQM5CzjdcIbJQfc0UuHX1ZvrDwWhgWT3BZyTQLgssNVfBa8zehx7ITUF0Unjcj+Qgee3uBtMg0RpVYBB4qciFcyuLG7FoMyqoOAQCfrAABBFLH5nA2/nbQhz8s0uN8dtKBvSwUmdVIjMy56p0+Bicf7e4zYdcGBWg2G+KPQieUnbOiaIsMNOVq0jW/Y05qeHPhmP5HnO9CuwgtwFFzCD8pe+K3Y7L/sZWfk7fDubiNGtvEe/IbDgFZKnC6vTuG3I9+BMVlOdEz27E6y9LgVBof0RB3QKva6YFAO4capwMTDUesyym3t+9zPTpQhRcOiuEYAumL7ASTe/CZUPceDkUnPTWf+nzBv/RL2PQux8JO3cN+0Ufjxs/ehH30P1INvgiw1S1JeFATYD6+FdfPnWPjJW5g3PbLBtoJjMHeAHq9sM3j8WCy3ifB1pr48NhFtE2T44esvEDf+UagHzgAXl+Z+X+RdsB1cCfOWL8Cf2uE+dkLqi4LtRmLTORvuWloKWx2PrivsIt7bY0KJRcCYLFXAg59yM1XgGOCB38qw+JjvQSK8COy64MDvBQ7c01eHEREMbqocK3Hi5p+LUWj2H6QdLnbhhc0VuK+fPir1qslfH2RWHd26NKS6fmjwZcaAtrPVmIjfjAle35OzgNPLqbC3wIm3d5vQu0VkgtrhbZRYeMQC1+V9iwBe2WbAVR3UGN5GiSQ1i9PlLqw8acPui9JW7cEZCmRE8ccpadqctVscAOgUvq87hmGgkzMorrGsouME+JreRp7RDQnXvwjnsNux/eM78MfZYpzsMxf6VM8nTADAsCxUOWOhyhmLg1u/hNFsgV6r8Vo2XLISZPhySjLuWFzi8cO2NhkLzO6tw7WdNfh0bxnODX8KOpnnfZnhZFD3Gg91r/Gw/bkG2776a8jpREn9NLVGK7r7NwIXjC68sNlQZ6Bd04LDFoxsq0THJHlAg59OlDjwwe9mv4G2ZB0BeHePCf1bKoAIXhDlNgFPrCmrM9Cu4uCBd3Yboxps19UHWd2zA+TpSVGrT7QF+kND5HkIlroHLwoisERsD9Q4rRgAV7RTYVx7FdK0HCpsAtadteHX41ZJ4P3xPhNeHZsIZQTyQusULMa1U2F5jcf3TqGyFXvpcd/XDQNg3kC9JO82IfXhLQvOkRInclK9/9A0OQSvTyrrIm/ZGUlzf8SdK2yQ+Qi0a9MMuQVPrC3HWxMjP1Nl7xYK/HtMAjactWPdGelAUKCyH/uwNkqMbadCiobDh3uNeH6zBYyXQLs2VbcrwN7zNQpLKwAkRugISE1NudGKgu1G4KfDVphrPSpL0bAY3VaFrAQZii08Np2z40SZNI/vc5sq8PqVgd0kVp62YeERz1nuUjUsOifLYXEKOHjJKQkYBBF4ZHU5XhiTAAUXmYB74RELCmoF2nK28pF823gZLlkEbM+3w1SjZcMpAE+uL8ffcyM/iUigfZC5YdpGf7PwJqgfGgH+VtxhVaKIkeapvr23FiPaVKc4i1exuLazBp2T5Xh5a3VfVJNDxPZ8O0a2DTwdWjCmddXA6hKx/mzgGU/+b3g8hmWqsLZWnm5CQpWq5ZCdKJPc8389bkO3FLnXe96qUzb3ExlvRN4JV+FJsPoUcPoUyXuyhFYo95JZz1VyDoKhELJW3cAqpVlRlpwWccVRK+KjME5Bp2AxoaMa12SrcLrchTKrAEGszFrSPlHm/m46UuzEf7Z6z8MvOKxgFZ4/DhRte+N/B2SY2i2ih0DQ9ButKNiOcaVWHr/XGmjVv6UC9/TT1RgIKceItiosP2HFD39WB8yFZgFbz9t9DuKqaWmtFm0lB9zeS4eBGdUTdpgdAr49ZMGW89WBRolVwM58O4a1CX9wY3II2J4nDWo6JMowd4BeMkhzelcNPvvDJBl1frjYhROlLq/9acMp0D7I9hN5UPfoENG6RFukfmisMkkfP2foOQzP9L5+1xQ5eqXL8UeNPLu7LjgiFmzLWAbvjk/CPctKsfGc/4BbwQE39dBidh+d33KEhOKWHho8vbE6ePyz2ImPfjfjhhwN4i7nora7RKw+bcMSH08sRd4F06o3Ydr0KURLOcAwUHYeifipz0CW5v1+5bxwBBU//ROOUzsBAIxCDU3uTYib8BgYefV19+HvJvxtsD5qXQFYhkGHRLnPRmhvT58suxbAtPZ9uAqOglHpoRkwHfqrHgarTXCXWXLCgeFZPFI0noNPSXg0h0Yr6ogU47blOSQNgkoOuKO31mvGkWuy1WifIP39tPl83S1w+UYXjpVKW8VndddicGulO9AGAK2CxZ29teiYJN1HMK18wdiaZ5d0EeAY4L7+Oo9sKEoZg9l9dEjRSJdvqCMYCodA+yAHWq4xCeaHRjAKXdLzq08Lhd8v7D61+mjXns453BNWKDgGd/TW4dlR8RidpYSq1ndwiobF9K4avDI2UdIaX5vdZkV5SVFQ9Qr3xCOk8bquixpaTto1ZGueHQ+vLMMrWw14Y4cBD68qw4+HLT4fKlX88i8Yf/tvZaANAKII+5H1KH5zGnhTqUd53liM4revdwfaACA6rDBv+AjlC/4hKXvokhOnymNj1tQCE49DtSalMv72Bsq/eRiugqMAANFmhHnTpyh+81p3/n6g8oFcpL7jSKVIfZfEEmrZjnEXjNKbVd+WCmjkvn8jDWujlNzgLgbQT+9YiXQfOgWDIT5aElmGwZXtVTheanIvO1XmgpMXIQ9zV5KztW7UfVookKz23rogYxmMbKPET0eqg4ozEb7RB9oHGah8HCbyPBiu6bSOROqHRu0JJYOeivny+pGesCIzToZbe+owq7sW5TYBdl6EVs4iXsn4/XEQSr0O7t6Knz5+Czs2rwdvM4OFUOfEIws+/xB79/0BASxgKcPAgQMwnSbraDLilCzua1OI1063hFhjgAMvVrZy1yVByWDqlX3x9ubPwbEceL76fsnYDLBs+Rz6qx6SrNNdUYQ11gpwnExSnuNksO5ZiIyZz8HCVncpOVDkrGxtbmB7ag1Y1soZXDs0C+/8xngcu1hyFubt30I3/A73st0X7JjeNbIDPpuz5tBoRcF2jKs9qMpXsFn9vjQycXgZtV5b7f7g7RJkXlvOq2QnSW+eIirzvoY72K49IDQjzv+xt66V7SHi00s347xpofzQCFSyTFr2QJET13b2Xf5ArWnQ41QMfv76I3y2ZCM0faYj+e9/BcPKIZhLcOD4Fmy75ybM+dsTYZuwQsYyAT9iXvz1B/jws2+h7j4WcTNHASLAVxRg98GV2DJzrMdEGlaXiA8WrsHOYhnkV72J9Gsqr29nwTHs37UAW++8DnMf/5d7HUEU8dH3S7DurAPKK15Gyrjq+8GJgmN48q0vcOtVRzB11h0gjV+feAvmtCnAe3kt/fbJ9qZrqhyTr7oLHTrlYOEnb2HrqsWSH3+Db7oO3xRL15k6ZjAmfLfaa/lpd87Ddi5J8jTV27TwDaGs1tOuHmlyTLlmNrI7dfN6LP2vHYsfSjzXF0QRR0tcyCuzwmK1IUGnRrd0DVK1TacRJdqaS6MVBdsxTiOXBrCn62itrf2+v1bwKrWLVNj83yBrP6b3to1wqD3ossDkP2C7WOt9VYQGbRJE9IfGCK0ViwzV/ZxPlbnwR6EDvdI9My2cN7iw64I02HYYy7CIHYXEWVNrlW4PRbsB0F4xF1/uW4wWO3dgTNbIYI4iZKIo4oeNB7HYlIOUeT96Fhg3D46zv+OD795yTwqy8IgFj68qhl3VB4rW0uLyFp0gn/RPaK96GJ8sewlZHbehc9JwPLkiHxc1Q6Hq6rkLWYtOSLjueSwyFkO1ZR/GZA2OzMGSqBqYYEJalh6/nXZgR77da9DdPVUOpQzYc7G6xbuqXE7/XOT0z4XdZoXFZIBGFwelSo0jxU6gWDqg0MGLPssDwIbd0pZHNkZSt4m1HpdVTczk61iOlTiBLdXHLgjA0mMWrDxugJGvamziADiAgw5kKc2Y1qcFeqTFXi79mNdMGq0o2I5xHZJkkoFYf15yIt/g8pqz18GLWH9WmvGgQ1LdH3GLWrOOnTPwOG9w+Zy0ZlutQYtxCgaqCKRaaxMvkwx63HvRAYNdcA/+qUkQRWw8Jz32zPjG9+uXAKO1ViSIVpQz1dkB3tltxLQuGoxoq4JaxsDJi9iRb8f3f1og1Lj5sgxwyq4Hq/Wy4csYTgZNv2n44EQBbjPxXmfdCydBFPHkunIsL28JecuWPssp2vZB8l2f4KONy6Hu0B/PbTKg8gvdN1ahRvzUf+HD7evxg7kYF511p1vj9Cn44ZILE8/aIjaQlERXKz2Hu/roMDNHg30FDpRaBfAiEK9k0T1NjjQth99OWiXB9sEiJ+wu0Z0mU6lSu4NmANhba2A+AOy66EDO5YCydnmrS8SBImn3ldpPWsMt0G+d2llRDl1ywCWI7ie4tY/lj0LpsQvA5S6K3rvEnLFr8fp2I0a1VWJEG6XfJ8OkeaIBkjFuUCulZDp1EcD83UacN0hbsA12AW/vMl6ePavaqAC+THNS5YirNSHC53+YvXbDOF7ixJrT0qB2SKYyIiPOh7RWombjtFMAPthrgrXWjCaCKOLbgxYUmKTLh0d5YhsSHjIGGMeflCxz8MB3hyz464pS/HNdOeatKMXH+8ySlI8AJIF3XZy6Frjtl0tB5a8Pxb83G/D1Qc+0mr6UZ19zOdAOnKHtKC8zy/rBynDfryXIN8bGADYSHjoFi2FtVJjcWYOpXTQY007lnh24bwuFJDi1ukT8ctT7eXnB6MJ6L6kqN5+ze326KooiFh62SK4llgH6R3jWVI5lPJ7+etM7vfYgas+GqSplNgHrzkgblAK9r6w/a8cTa8s9WtIJoZbtGKeUMRjRRonfTlXfGApMAp5aX4GuKTJkXc41va/Q4fH4sHe6HO0T6/6IZSyDEW1VktRIJ8tc+OfaclzRToWuKTJYnCJ25Duw5bzd4ylOIAF9KOJVLPq3UmBHjdbtQ5ec+PvqcgzNVKJtvAxFFh5bz9txySI9+PYJMnRNafiBOSQ0VwincCauLXYZ9JLlLgG4EMTkHPajG2HdtxSCzQRlp6HQ9LsOjKL6fD1cwuPbg2a0TYjMrfBkmRMf/W7yWO66dAa2I+vAsDKoul0BLrGV3+3YDq+DefPncF04DC6tPbS5s6DuPclneb7sAoy/vQ7r70sgOq1QdhwG3bh5UGZXD440O4FP9pkx1MdgaNK0pGo59KyVJnP5SRuKrQKu7qBGuwQOZqeIzefsWFJrsqgqvAi8tKUCV3dQY2imEgkqFidKXfjtpBX7a7VqX5Glikq6vAQlC4vT/z2hTbwMXVNkOFxc/UPh24MWVNhEjGuvQpySBS+I+L3Age//tNQ53sdVdAq8oQjy1jlgVdJ71A9/WjCyjQrXdqEBlaQaBduNwOTOapwu90zPd7jYJbl51KSSMXhhdAIKLYENULmqgwq7L9glE8iU2QT8eNh/i9wtPTQRfQx/XRcNjpW4JANczE4RK0/5niCEZYBnRsYjgLGhJEaxAOZkXsASvhd+OlL3ZDApGhbFNc51UeBR9tm9sB1Y4V5m27cEplVvIfn+7yFLaete/uUBM/45LDITIK2udZ6KvBPlPzwO664F7rQpFSwH7YjZiJ/yf163YVzxOoy//df9mi+/AMexzbAf24yEGf/xKM9XFOLS6xMgmKpHt9mPbYL9+BYk3v4+1D2vdi9f8KcZ/VsqIjLjJok9EzqqcaDIKWmp3XXBgV0XHGAQWHdYBw8sPmb1O9swxwBzB+hRWsf4n3DokCRHkZn3O1OyjAH+OjAO9/1anc5QECtzby87bkWaloXBLtYZZDvO70fFj/+E89w+AAAjV0Ez+EbETfqHJMf4B78bKdgmEtSNJEaU2QQcKzLj0PkSFJRLA1yNnMUXU1LQKYD+15XlGTw0SI/OQbTs6hQsPpuS4nUaYF96pcvxz2HxHstNZgvyLhbCbAn80bmvfMCpWg6fTk5GvDKwYIBjgNm9dV5b66KRc9hqt6GorARWe/ObLTCUY/e3jowFXh4Tj0dy9ejbQu61f2bXFBnu76eFs9YvK+v2byWBdhW+LB8VC56QLDtZ5vKYfTUcTA4Bu2ulHDOvng/rzh+k+Q0FHub1H8C89UuPbXDWEljWvO11+5Zt38Bxdp/HcvPadySBtpsowLDk35JFFXYRhwNIE0eaho5Jcjw3KsHre77CzHYJHAZlBNcd5KUrEtC7RXQGC6plDLqnKeDr96KMAbqnKTC5kwb39PWcYEpE5QRwdQXafEUhSt6Z6Q60AUB02mDe9CnKf/ynpOwfhU7s89LnnTRf1LLdgBy8iJ35diw7VIwC98AmHXDcBkXFMYxuo8DUod2glDFoqefw0/WpeHR1GTaes3uk6wMqg5P+LRWY2kXj7qcXjK4pciy8PgWzl5T6nYyAY4Ar2qlwfTeNO91fhU3Agm3HsKMQcGlSUXlqWaGoOIqRbZSYNrSr10GUe3duww/L1uDYqbMQRRGi8RJ6Zybg+tvvdecD7tNCgZ9npGLuijKPiQlqyozjMKu7Fl1q/MjgBRGLtxzA6sNFqHByACeHYC5DC7EYM4fnYOCggUH/nbzZdnAf3l70HZZt2whBFMAyLCbkjsDcaTdicE6vsOwjVoVy7P7WGdClu7scwzDISVUgJ1WBcpuAsxUuWJ0iVDIGGXoOqVoORruACrtZsn3z9m991td+bBNcpechS8p0L8sz8OiYFNiP00DbgM9WuCRduxiIMG3+zGd50/oPoR1yi2RZ1yQO53nf57zt8Doo2vaWLLPsW+azPF98Bs78Q5Bn5LiX1U6LRpq2m3tooZYxeHxtmUdq2dp6p8vxl356jGqjxF1LS7E1z3+KNrWMwR29tZjRzc8I5QhI03LIzVThZKkT5XYBFqcIjZxBgpJFhyS5e9zT/w2Ph5xjMH9X3fmaOQaSp6PmTZ9CtHlfz7rrR+ivfhiyxAz3sg3nbFH7wUFiHwXbDeRIsRNPriu/3NfYM4OAI74NfqsANi3Nw6OjKzMYxClZzMjR4touGuy+4MDJMicszsrR5K10HAa3VnrN1BGM9olyPDk8DifKXFh72obDxU6YHCI4FkhRcxjUWoGRbVTu0d2iKGLJMQsWHTZDZFKBWk/OHPFtsKoCWL+sAHf1T8KYrMpHbUVmHu8v34MTQkuw/e5DfL/qdU7bjPjXDz9h2vHTmHnjLHe9HsmNw0Ujjw3nbDhVVhl0KWUMWl2ezjs7SSbpCrDxrA3f/n4JNjYDaJEhGUdeBuCdfAd+/WkvHpnUu15/s4+W/oRH3n4FHMdBEKvysQpYvmMTlm5dj9fmPorZE6bVax+xKpRjr2udV+9/BJ3btvPYV4KKRYLK88vL7qW/0Oy/3IP3nprrMWEFx8nACzxaxilxqUb5QPLRu7dxeVCWxcsP3ppqv5+m5TDtsafx1lMPeq9X8RkwogCRqb6GU9PSMe/ZN3yu4+3L/+6/P433n5rj89jTW7REzbkBgxlUSpqG67pqwDLAxnM2rD9rR6m1+gcXd3lg4+gsFTpdvqcqZQzu7qvDVR1UWHvGhh15dthqBOotdCxGZ6kwLFPpNd2s1SngWKkLFXYBLIAkNYdOyb7ncyi3Cdhy3o6zFS53xpS28TJ3P3Fvqlq4gcrvJW/dwhiGwd9z45CsZrH6tM1rqsT2CTKMzlLi0z+kP+CdJ7d73W/lDgU4T26HrP917kUlAXbhJM0DBdsN4HCxE9f/eAkGR93fchZWg39vLEO/Fgr0vDyiWsFVzvDoa5bH+mIYBh2T5HW29ImiiKc2VGDhESvA+A/ynYwC7+4xoXWcDIkqFv9cUwqXooPXfkysSg/tsNuxwmmDfNMBjMka4H6vpZ7DzBz/rSaiKOKFzRWVN0vWd785RqbAWbTF06sLMKhVW6/pFOuy7eA+PPL2KxABuGpN3FL1+m/zX0ZOVgeMG9s/6O3HslCOPZB1HnnnVfznvofRv5+fmWxqUHt5YtL1ypvxeqcuXiesuPaOefioJB2ocf1524Y/gQzKqp0nvsIm4OqZd6Fdp+5e6zX+9gcwv0B6ReQZedw6626f66imPoA/a/WKajniRrz+XWev5a+67UF8UJQk6TMQF2AXLdK0xKtYTOqkwYSOapRYBJidIuQskKzhfKZybRMvw+29dLi5hxYVdgFOvnI2Rr2PRp6LRh4rT1mxLc8Oe63LJU7JYGRbFa7Iqm68OW9w4Z3dRuy96PAYc7PrggOLjljQt6UCM7pp/A6+rGv8RVaCDHf10eHGHA3OlLsqj51j0ELLoaW+cruf7zdLfoiK8joSASik3zUy6qRLaqBg2wfB7KffKceCrdHC5rcsy4BVVwfFpnIrbv+5zGegLQoCGFZ6lTpFFnctKcaq6xLAWCv7gYkMA6hqBNs2O5ha6YYEswjGag+obGV5LxXyURYAVp9z4pujwfVLe3JdeWX9AxguwMhVWFraAhMOG3F1GzkYq/e/s6hSAlU3V4cTv5204fvjgder1KXE7T9fws9TEiRBF6NWuD8LweEEagVXoovH/B+/AcdycAm+Ay+O5TD/x69xxV03gZFxYFRy9wxYotMFwe6EYLFBkNs8viQYpRyMrLqs6PDdvUdS1sVDtPvufsAoZGDksuDL8jxEmzOkYwcQ0Dosy+HnDWvQd/xYCGYbGKsToowD5Jd//AkCGHv156sDkK5mUGitPk/XnLZhzoBc5PQbDEd5OSwmIzQ6PZQqNbZfdMFwUfo4vF2CDKIg4MhFK46U8jA5RchYIE3NYkC6DPFKBiLLAsrK675DkhxFxWafg3BFlkWmXhoM2Hhg9xkzcnP6oPtrn8ButaC4qAjJ6elQJiZixQkrUCAd53Ci1IXzRWZ0v7yOzW6DxWWHRhcHk6jAE2vKPfb96zEznhrYG//3+qewQ6ierAMsvjlsAy9Wn0MKDuimFQCbPeB7hMAyYLXVgYdgtfttHpeUtTkA3neLXzBlGU11ylHB7gRcvs+poMrWcd2HXLbmde9wVZ7bPoLC2vcIb9e9wPMQrI7Ka6OKywXG6fseIcprNKC4eDBOJzgAaSyAqo/f6QKcgCiXAbLqe0TN+68cQApQmQZeAERXdVnwPASzDd8fteH/tvi+Rgx2EUuOWbH2lBXzeqmQCBfuXGlAqc33ucSLlUH3kUsOPNRHBSG18nysrBQHVlF5fKIgQLR6/w4QBBFwOAGFHFoFi5xUORibHZW/QAXAWnkvTFExKLBU12XA3S9gy2OjvD4xEhQa6HqMQ81PP0PPSWIDURSl9/l6xBFBlbXYfHfIZwBWowqtbDDXvZ+yYq1rUXC4KmcRCkCs3COqzjt/GJESQnq1P2m8z/f04wag3ff/cr8+0HoqRB/TjWqH9kCHJdUZA/5z7Rt4c9R0SRln/iEYV/wXtj9XA6IIZdfR0F/9MBSZPSXl7lnxHa7dubZynfatUfLD/9zvJc94APJTeV7rwLdMxaUl71WXvfVRyP886bUslxyH/N8+db9O+stTUOw95FHOLpPjlodehlEtbWW27FoAy/bv4So5C3nr7tAOvwOqziO87quKKAhwXfgTACBr1c3jx4ZKcOLjN/6BJFOF1/ULV30CMbFyoKbw6he4p/2VcMmkJ7/jzB5Yf18CwVoBZYdcqPtNASOTPhm4a+UCXLd9lft1py3vQtW1MmtFwUtfoejlbyTlbSKP3PKVCOS2wALYlnAlVAyH9otfgm5Y5Wdb/NESXHj0XZ/rZX33DOKurOxXXvrNKuTN/a/Psm0+eQIJ1w4HAJT/vAnn7nzRZ9nW8x9C0qxxAADDyp04M/MZn2VbvXwfUu6qTDNn2rwfpyY/HtKxAwh4HQbA29r+GCxPAccwMN8yGcYHbgMAcBeKkDr5Pkn5H3OvxMfjpNfVdV01mJBsR8srZ7uXHWyTjedm3A+DpnqgVO80GXqkK7HqpEXy5VpFxrsw7M89mObMh/6ZuzEmSwUZy/i9RziG9kWb7/6Fe38tkaSuTDKW49VPX0bL8uoBjI6+3bDvlafx0haD10FaKRWleHDJF+h76k+4unVAyRcv40SpE5/sM3vMmlql2/kTuOPgBiS/83cwDINSK4/V81dheecBknJj923F3xZ/FvQ9Iuf4d+7XJyc9BvOWA17LMholeuQtcr8+fcPTMK7a5bUsAPQs/dX9/7O3v4CKxZt9lu1+fqH7C/38nNdR9u1qn2W7HfsWspTKe0T+399Gyce++7V32fcpFG3SAQAXnvoYxfN/8lm2rntETdmr34CmbyeIoohzL3+Fiv/4HlcQyD2CF0XsdZUi/f9uAzf1VnAcB/WStYj/l/cBtQBQ9tLfMOyuMRABbPloLRIff81n2Yqn58A6aQwAoO/R/bhw0798ljU8ehcsM64BACh2H8Su91bijcm3+Sxfm9zpgIJ3wawKPINHnMWE/378IlqVVXYIS5l7HVo9W3mtO84V4kjvO3yua77+ahgfuxsAwJRVIH3cnR5lvhg1Gd+OmOh+zTHArLgT2H3PTKxzFkJA5b1tlDwd+utfxK4B4yRld85uiaI2vtNz1ieOONRxJvgS77n41X06ouOa6tjgcK/b4Txf5LWssnMbdN5Wfd0fzb0X9qPnvJaVZ6ah6x+fuV8fv+IBWH8/7rVssPeIth897n5d+PI3sO7zvl0A6FG0xN2oFCv3iKrzzh9q2Y4iURSxtPsQyTJH3gEUvzkNcFb/UrX/uQb2o5uQMvcHKLKqOzMv7T8KU3auDXiAViRt6tbPI9Au/fx+2PYtcb+2VxTAfmg19BOfgP6K+71ux7L7Jxh/fQV8WT4AgEvMgH7836Gp0ffNxsrxa78RuHnDEq/bqGlNQluPQLvs279VZoC4zLrrRxhXvoHke7+BLDXLvXxZ/5GYun012ADngzWLroACR6ByBjKz6IKKaRqzWoZy7FX/D4QIwCoGnk973L6t+GrkJNgV1T+gfjpswXolMHLcdGjsVuxr1xUH23byWNcpMvjygLfHOpVcnAzrewzCNt6J+wod7nEH/iSoWaRpOdzWU4cd+dU9pEv1Cbj3vmdw5b4tGHDiIHiGxeZeo7B+Y4XPRqLi+CQ8efODaFVSiCxrOc6uK0d+HbnG/8zMxt8zs5G0uhwqGYOLRh5irUCbFQRM3eH7y4c0DgxTOYbAHsDFpeQYcCwDVwQ76l9wcXhrws0ey1lBQOalfFiTElEkl2YFccoVcMql4zGUTgcGOkuQ3KsNzpfbcaCYgUOs/vYzaHT44MoZeOZ73z8u6uOaPRvx/bBrILCV92xeBL43ZmPapH9hzr4tUJhKcK5NFyzLvQq72neTrHt1thotdBy8h7ikLjaRh1l0QcvImsx3JrVs+xCJbiRnyl0Y+lmB5O2S92+B/ch6r6sqOgxGytwFkmXPDVYjU88G1DVkaGsltuQF3o1kZJvKIGJ9zZFjPsq+uteGgyXVX/j2oxtR8t5NXo8DnBzpT20DF5cuWWzdvxxln/7F6yqJt78Pda/qlsM0DYMXctVeB9TU7Eby2OpSFNVonbTsXojyrx/wug9Fdi5S5vwgWfbDhDjkXp71rK5HxBajCfGt0t2D/PxhGRYVFwqh0eu8diMpryhHQnxCo+lGEsqxAwh4HYZhsHTBQoy+Yiw25/vvRlJlQ54Tnx4OrltTsppBiTXwW6CMBb6ZmoKhmSqP614yKOvyPYIXREz/8RJ2XgiuXnEKJqAxHVWSlIBdqJyoJlDP5mpxSzcVNpyzBXWPkFE3ktDKXr7uRVFEWVEx4rW6enUj4Xkem7ZsAaPgkNRtCAqtqLMbSYtEFXq0UsMliFh7wgzG6fuEqdmNZHgrGTaf9JycyVvZL/YZse6c9HzvpSxB6bJXsWv5NxAEAYpWXZF5+xuwpnbztjl0TWIxWjyI5V/Px7Y1yyAIAmRxqWgz7xvYUrq4yzEANt+QiDZxXMDdSFyCiPX5ld1IKguLl7uRePrisB1r84JLCypngaUz09A9TeHRjURyn6duJAAqv3/M2w4CqBzTM/+nb/Drjs3uLFXjBw7DnCk3YHDXHgCA+IlD3N9zsXKPCKQbCbVs+1DzRAlX2dqPfBneAdeJLT7LO05uh2CpAKupzmVdBhlaq72kE1IpPa4RVquEqPZyM/dStrL85eO4ZKuzbHGtXNW2fUu9HgMAgHfCcWqnx4x3ltVv+VzFuPJ/kmC7yCIizyVH23jfp6zdJUoCbQCw7fzeZ3nHiW1wXToNWWp15osjJgZDvXyerEJefXO+TKuUY0LuCCzfscljsF9NMo7D+MHDoU1JdN8kqjByGVgZB9apAqtV+R3Yw8irg966MDLOY19hKctxYLRcSMcOIOB1BnbtAXWCHqxWBVFdq24sC1Ht+RmN6KhCaoIDL2+rO60XALTUsbho8rxRt9RxaB8PVFidOFrOSmbScwnAQyvLsOX2FpAHcN1zLIOPJyXj+h8v4UhJYF/anZJk+GxyMuasKMXvBXVHz630HB4epEd2kgy3/1KCcrv/IJ1lKtO/3TYgAQAgeiZD8nuPYGv94K35xV4X1ks2mbCUVcoBZWCpG4Mq6+W6r63qR1YgZaswClmd17u7rI/rXuR5sOrqMQQlF5xwyWQQZd7vETIG6JhW45yVcdL+3v7qIOO8XnO1WV0ituVLg9wsxyksf7iyr7NwuS+u48JhnHllMhLv/17y9BaoHKzc4ezPePLpuZJ1XIZLOPe/mUj55yb3rI0igO9Pu/DYEOlTVoZlwfi4PllBBGqeWgzj89hm9lLCBhO25gX2Y5kB8Oq4RHdWlJqxgSiKfu/zkYg5AGmAHNaywVz3fspW9dn2laVqxe4tWLZjo9fMVjFzjwikXEClSFjUfoggk8kkAy28rlMrx26spOmq3bWUt5T5LV/7OFiIsOcd9L39C3+CN5VKlhnqeE7qLQWco/CE33VcRdJ+qd7yl/szZ+pM8H4CR6CyBWrO1BuD2m5jEMqxB7rOtcPHhFSne/rp8cBAPdrG+w4i9AoG13ZSeTwl0cgZTEnKg3LBvfhpZmusvK0t8v7ZC9oLuyXl8i9nWAhUkprDgumpGJyh8NsFjGOAMVlKPJIbh4w4GX64LhWzumuQrvV+m05Ss7iuixpPDY9HsoZDjzQFnh+dgOldNUhWe66j5IDRbZV4blQ8RgfQFYb4JljtsB44CdPGfTD+thOmjftgPXCysgWvAQQ6sYuvLCPhcqLUKUkJCIjY/tKNgCh6fNfxTjuMqzwbXNrJy/HB03O9ruMylcC652fJsj8iOHmMnGPw0cRkr5Ok1aaVM5g3UI9rO9PMkcGqK0uViMrMVtsP/dEg9QsHatmOotRaE804RRaznv8C3zx5q9cRzmyrbuD0KZJ14uuZRztcdAoGxTUSJwy86TFsPPCbz9y+LXpfAclwDobB3GffwHxfOYdFEQptnGR0N1dHK5C3L5Lpj/8PP/xzlo99CEjqOgQ18z/oFcH9fXO798Zrcx/F3+a/DI7jJDcKGceB53m8NvfRJjmxTSjHHsg6vvJsB6p3CwV6pctxqtyFHfkOlFgE8KII/eXMA/1aKnDO4MLPx6SPYrsbtuHdeTMkrWm8qRSn/nsDEh/4GYrWPdxlvzxgxoSOQQzmUrK4p58e07vyWH/Wjj8KHaiwCQBEJKo59G+pwPAa+euBytSB49qrcUU7FY6VuHCm3AWrq3JCn9ZxHHJS5WBrXRNaBYsJHdW4JluFk2UulFoF8AKgVzLITpRB7SUHMgmOs7AU1v0nJY+vBYsdgsUOZ0Ep1D07QJ6eFPV6BTqxSyRV1JogSW68CMbgu+ey/cgGj2UX9m/2uF/X5MyXNtIE090qFEoZg7v6VOYYX3fGhu15DslA5tZ6DqOzVMjNVEblb9wUvb3oO4/vg9o4jsPbi77FuAfqHowYiyjYjqIOiTJkxXM4U1F9QhW1GYdXv12Nnz+V5sQdPHYSmCkv4FSNhpIWWhaZcbExWKBrihxnyquPI0/TEc99vQ6/ff6GR27fQTf/Hd8WS6d1F0Qgc8xteN1H/uBesx7HolLp6ZnkpbWuJgVXObnPhRrddSztRuP171b72Yc0YOqRFvgU91VmT5iGnKwOeHvRt1i6baN7H+MHD8ecqU17BslQjr2udQZ06Y6th/bVq14Mw6BDohwdEr1/nsdqdenQc078/OQN3lvgXA6YN34CxazqTDA78+0+J87wJ1nD4bquGlzXVQOIIsxmM7RabXXqSi9YhkGXFLlkZtS6sJdz5ZPwEqx2j0Bbghdg3X8S3DBtUI/ZwyWQiV0iqfaPP6vd6ffpLSP3/BtdKDX5XUeWIv0hrpFH5xgz42S4tacON3UXYXSIcPIitArG6yQ+JHBWq9U9k7A/Lp7H0m0bYbVaodHr/JaNRRRsRxHLMLilpw7PbapOYfdnsRNcWg5ue/ELPPqaA8VFBbBr0rDktIB9tfprzuqhBedjxq1oG9VWheUnqlsGbS4Riy2dcOe/P8ejr7tgMRmg0upxuFyGz/8wwduoix8PW/DP4YPxf+/kwm6zuvMBCzIV/r2pAqjRrp2TKvf5OL2mEW2V+O5QdVv13gIn2nftjX++/TWcdpt7HwV2Od7YYZDUq3OyDP1ahja97uCcXhic0wtWuw1Gixl6jRZqZfN4VB/Ksftbp65uJuFQu7uQkHcAHMOC95EvxXFmj+S1na8859VR+qInscF+Is/vgCwAAC/AfiIP6h4dolMpH6IdaAOeDSKylLaQtermTu1am6rXRI9lyq5jAJkScHnpkiNTQt1f2m+3S3J0f1RyLIMEFV334WIwGAIaNA8AgiDAYDBQsE3qdkOOFvN3GVFW43HbgSInDhRVIEnFAohHqZeR0XoFg5u6a7G/KIh0AxGUpuXQt4Uce2v8IMg38nhukwEZeg6pWjXOV9hRYvXdtzXfyOOZDeWY2FGNPi2UkMelYleBA0uOl6PILL34bumhDejLY1imEouOWCSzlf142IKNZ20YkKGEVh6HwyecOFhk8Qj/b+vpOztAoNRKVbMJsmsL5dgb6u9VuzGqzOry25pWO5MO4DlDJGn6+LLABt8GWq6pyU6SIUHFoLzGxDTxU/4PJe/fAgjS64vRJEB/1YMe2+DiUpEw40WUf/eodB1WhoQZL4KLS5OUvyGH+kg3ZnFxcWAZNrDMViyLuLi4KNQq/CjYjrJEFYv3JyThpkXFkiwHAFBq836ysQzw1tVJl6enjY1gGwBu7alDodngkfM338j7zAOs4iAZQFNkFvDJPjMA33mOs+I5TO2iwda8ugcfaRUsZnXXVk7VXkORRcCy474D/4GtFJjV3f808CT6gg1nAy3fQiftjiXP6g8uuS34krNey6tr5H0HKs/JWHnKRKJD5HkIPiYdqU2w2CHyvDt9X6yJ1HUlYyunYP/laPW9VtlpGFL+ugim1W/Bdng9GLkS6l7jobvyQciSWnvdjmbA9VB0yIVlx3dwXTwKWcvO0Aya6VG+f0sFclKDexoZqWMnoVGr1UFltlKrvaVPin0UbDeAoZkqfDYlGXctKfU6Y1xNKhmDe/vpYjJ7QLyKxVfXJmPmwmIUmuv+Vdo1RYb/XJGIOxaXoMQa2GMjnYLBJ5OTgxpFP6KtCqkaNuAUcO0TZPhwYjLk1FIZczi2csIOSwBZYjRyJuAAuHe6AmoZ477+GJZFwg0vo/TD2yA6pQMnlZ1HQDNwhmTZ9G5N64eZKIo4XurCkWInzFVT1Ws59GupgC7IQcNNVrDj8GIkc5Q3kbquAGBMlgobz9olT28VbXsjafbHftdjIP2TyZJaI+6aR3yW5yDgqRHxPt/3uV4Ej52EZs7UmVi6db3fMo09qxcF2w1kWKYKL45JwLozNmw4a/PIjRunYDCirQpj2qmQqIrdL7s28TI8PTIBq05Zsf6M9AZbpbWew9j2KgzLVKJXugILr0/FrEXFdc6Cl6HnMG+A3ucgN3/u6aeHjQcWHrYgz8d+1DIGo9oqMaWzBgkx/Ddu7hKULCx+JgupWS5QShmD4W2UWHmqOrBWdhyC1MfXwbzpMzhO7QCrS4a677XQ9LtWsq6MRZN5CsILIjactWHlKRsueLlOvj5gxqAMJSZ1UiNNG5uttCQ0wVxXwYSbcUoWH01Mws0/l9TZmFQlSc3isdw4/N/6cjgCaIdhRR73D0xAr/TQxthE4p5CQtccsnpRsN2A4lUsru2iwcROapwuc6HcJsBmtyE9To32SXKvsyXGIrWMweROGkzIVuPPYifyDTzsfOXgsQ4JMrRPlEn6QmclyPCvkfH4o9CJtWds+POS092iwQDolirHmCwVeqXL69Wq0KeFAr3T5The6sL2fDuKLZVp0HQKBt1S5RicoYSSUjXFvA5JchSZeY/c7jXJGCA7yOwb12SrseeiQ/KURZbUGvFTnvS73j19dUhvAoGnzSVi3opSyQ+O2pwCsPm8HbsvOjB3gC6gqepJ4xDMdRVsa/Dg1ip8Ny0Fty8u8doAU1NWQmWjyvSuWnRMluHBlWU4V+E7EE6T23D3oLSgr/eaInVPIaFr6lm9KNiOATKWQcdk+eVUYE5otXK/qcBiFccy6JGmQI+0wMr2balA35YK2Fyie8KaOCUb1okXGIZBp2Q5OkV5xDoJn6p0ZgeLHF6/HGtO2OEKYtanBBWLTycn4+afi2GoY9bFKoMyFPjb4MY5QKcmQaw70K7J5hLxvx1GDMtUYUCr6Ke0I+EXzHUFBN8a3LuFAi9dkYCd+XasOWOTpIplAHRPk+OKdir0SKvOF9+vpRLPjIjHyTIXNp6z42yFC1anAAUjoG2CDKPbadEhMan+A9kjdE8h9dOUs3pRsN2INNWBHSoZA1WA0waT5ilSE3b0Slfgp+mpuGtpCc76aU3jIGBCJy2mdFY3iT6cm8/bvQbaaRoW2UlyGB0C/rzkRM1JWZ0C8OBvpdh4W4sm8TcgwV1XobQGKzgGw9qoMKyNCka7AINDAMswSFAyPidYYhgG2UnyiLcqx8IkQMS7ppjVi4LtRiQaAztiNaCP1XqR6InUhB2dkuV4ekQ8jpe6sPaMDUeKnTA5RMgYEalaFkMy1RjeRtlkBgqKoojVtQJttYzBnb216NtS4W5lrLAJ+GK/SZLe80wFjzVnbLiyfePMCEA8BXpdBdsSXpteyUIfY32gG3oSINJ8ULDdyER6YEesjtSO1XqFiyjSo8pghPtLsTl1NzpZ5sJ5g/QeckdvLfrX6h4Sr2JxX389nt5QIRk8+eV+MwXbTVRd11VTbg2mQJtEEgXbjUw0BnbE6kjtWK1XqASrHfYTeXCVGmG7VAJTajJkSXoos1tHZKpnarkhAHC01lT1KRrW58ypMpbBle1V+KxG3vrt+YHlmiZNE7UGExI8CrYbmWgM7IjVkdqxWq9QOAtLYd1/EuAFd6u2YLHBabXDWVAKdc8OkKcn1Xs/VQE9X2aEYLGD1SjBJUYuoCexz1wrt1qHRJm764g32UnSrwmLU4SDF2kGTUKBNgk73myDM/8SRLsDjEoJRUYqWE3j/66iYLsRivSjvFgdqR2r9QqWYLW7A22veAHW/SfBDdPWKyCuGdC7922xQ7CEN6AnjUvtyZuqMgFVsdussJgM0OjioFSpUWGTXkss4zndPSGE1IftyFkYVu6CZddh6XejnIN2cHfEjRsAZXZGw1WwnijYbqQi/SgvVvvmxWq9gmE/kec70K7CC7CfyIO6R4eQ9hGtgJ40PrUnpzlS7EKJhcfFP3dg4cdvYtvqpe4ct7ljJ0Iz7QUA1TP1tY2XUYsmISQsBLsTl95ZBPPm/d4LOHmYN/0B86Y/oB83ALpRfcA0wuxlFGw3AZH64ovVvnmxWq9A8WWBTSMfaDlvohHQk8apbws5VBxguzz8QQTw8ooj2PfEBHAiD0GoPG8EQcDecwYkmPVgarRkT++qiX6lCSFNjujicW72i74D7VqMq3bh/Nz/os0HfwfDNq7Ha42rtqTBxGpAG6v18kXkeQiWwAaYCRY7RL7uAaHeRCOgJ42TWs4iN1P6NKNI1gJpj66CasjNkLXqBmXnEUiY9ToS7/lS8qXWlKaqJyQQlHY2cope+w7Glbu8vsfGe7/PVCzcgJIPFkeyWhFBLduERFOwXclD6HoeSkDPcI3vsZw3oXwxRqN3fzS+sINpOZnQUY29Fx2oqDFzpiy1HeKnPed3vb/00Xl0QyGkKWvqaWcbimC24dK7P0uWMUo5EqaNhG50X3A6NfgKM4yrd6H8l82Aq7rh6dJbPyH5rkmNqjsJtWwT0tREIaCPVVVfjIFoiDzxgaiqV7DrKGRswOUz42T4bHIKNEEk7rHuW4I5vWM/0w8h4RZoOtnGknY2FpQv3ADBYJYsS390FuInDQWnq8zjz8VrkXDdKKT9dbqknPNiCQzLt0etruFAZwYhpEmJ1S/GUOoV7DrBlB+YocT7ozk4Lx71W1Z02WFcNR9lX8yF2UTdjkjz0yFJjrrG3jeWtLOxouLXbZLX6l7ZUHXN8lpW078LFLUykdReP9ZRNxJCSJMSq/nYQ6lXsOsEW35A23iUvHYV5B2GQDP0Fig7DAarTYTotMFVcg7W3Qth2fEdBFMJWJZFXFxcUMdMSFNQ36nqiSdXQanktbpvJ7/lNX07w3Ei3+f6sY6CbUJIkxKrX4yh1CvYdYIur1Yj94oJ2L7mV5Qd21RZiGEAUboyx8mQO3Yi1Gqapp00T00h7WwsEWvdY1BXsoNG/uelYJsQ0uTE6hejpF42AWYAGjmLBJXvegV7LMGWnzb7r9iyakn1gtpfggB4gce0O+eF5W9ASGPV2NPOxhJ5iyTY9p90v7b+fgxxY/v7LG/de0zyWpaeGLG6RQIF24SQJilWvxir6iWKIsp0FiQmKuusW7DHEkz57v2HYN6zb+Ctpx4Ex3LgeZf7PY6TgRd4zHv2DeT0zw30EAlp8mLlftJYxV2TK0n7Z/39OGxHzkHVpY1HWcveY7Afz/NYvzGhAZKEkCYvVr8YQ6lXsOsEUn7irLvx+nerkTt2ItjLebWrZpB8/bvVmDjr7qDrSQghviROHwVWL50gq/Dlr1Hx6zYIFhsAgDdaUP7zJlz63wJJOVnLZMSPHxy1uoYDtWwTQghBTv9c5PTPhd1mhcVkgEYXB6WK+miT6KEJZJoPVqtCyj1TUPTqt+5los2Bsq9WouybVeAS9ODLDF5T06bePxWMvHGFr9SyTQghxE2pUiMxJZ0CbRJ1sZonn0RG+t9vhG5MX883BBF8qfdAO/7a4Ui579qI1y3cKNgmhBBCSEyI1Tz5JPwYuQxtP/sntLndAyqvG9MXmW8/DIZtfJ9942qHJ4QQQkiTFat58klksCoFUuZOg25MXxhX7oJlzxFAqPHhcyy0g3Kgv3IAVJ0yG133kSoxW+v9+/fjrbfewr59++B0OpGdnY3bbrsNkyZNCngbBoMBn376KVavXo28vDwoFAq0bt0aU6dOxfXXXw+lUhnBI4gdFqeAreft2J7vwCULD14AtAoGXVPkGJOlQpv4mD0NCCEkZlntNhgtZug1WqiVqoauTkwJtf91rObJJ5HDMAzUOe2gzmkH3mCGM/8SBJsDrFoJees09/TtjVlMRlk7duzA7NmzIZfLMWHCBOj1eqxcuRKPPPII8vPzce+999a5DYPBgGnTpuH8+fPo168fZs6cCYfDgY0bN+K5557DqlWr8Omnn7pH3jdFgihi8TELlh23wsFL3zM7RRSZ7dhw1o4uyTLM7qNrmEoSQkgjs+3gPry96Dss27YRgiiAZVhMyB2BudNuxOCcXg1dvZhQ1f/a4vTTRH1Z7f7XsZonn0QeF6cFF6dt6GqEXcwF2y6XC08++SQYhsHXX3+Nbt26AQDmzJmDmTNn4q233sLVV1+NrKwsv9v5/vvvcf78edx+++144okn3MsdDgdmzZqF7du3Y8+ePRgwYEAkD8enSI+6FkQRD68sw6Kj1jrLHilx4blNFeidrkC3VEWQeyKEkObjo6U/4ZG3XwHHcRBEAQAgiAKW79iEpVvX47W5j2L2hGkNXMvYkKBkYXHyAZWrLVbz5BMSiphr1t2+fTvOnTuHiRMnugNtANDpdLj//vvhcrmwcOHCOrdz/vx5AMDIkSMlyxUKBYYOHQoAKCkpCWPNgxPpUdf/2WoIKNCuYrCLuH1xCcptQlD7IYSQ5mLbwX145O1XIAJw8dIg0sXzEAH8bf7L2H7ojwapX6zpkCRHXY3QgfS/pkCbNHYxF2zv3LkTADBs2DCP96qC5Koy/nTs2BEAsGnTJslyp9OJrVu3QqVSoU+fPvWtbr1EatT1BaML7+42eizv11KB+/vr8PfcOEzupIZeIb2B5Rt5fLDXc71wo1yqJJbQ+UgC9fai78BxnN8yHMfh7UXf+i3TXFS1TvsKuKn/NWkuYq4byZkzZwAAbdu29XgvPj4eiYmJOHv2bJ3buf766/HLL7/gk08+wcGDB9G9e3c4nU5s2rQJFRUVeO2115Cenu5zfVGsu59ZfbVPlKHQzIO/PPK2apeiCDCXE0xyLIMOibKg6vP1ATP4GsUZAA8O1KFnenUXkW4pMlzVXolXtxtxury6heabg2Y8MFAPBRfgzU8UqyseYHmWZaCRMbA4625F18hZsEwIn0cI9Qp+F2JQ9aoqW3sdX8vdy4KsWEj1isY+ENjnKF7+LCr/BbefULAMIn8+ehHM3yRSgv3sxRCuk6bCYrG4+2j74+J5LN26ERaLBRq951iYcH3uNa+NaFwnoUrVsBjcWolTZU6U20RYnAI0chYJKgbtEyv7X8dq3cMpFq73WBSN76tIC+TJS8wF2yaTCQCg1+u9vq/T6VBQUFDndlQqFb788ks89dRTWLx4sbs1nGVZ3HTTTejb10si9RoqKiqiclG0UQo4XCJIgmOLxQwA4BigazILm8kGWxDb/P6QRfI6txWLDjonzGanR9kbOrJ4aVd1sH3JIuDXP0swKjPwU0Ow87D6y9N0mVrGwGiwAwA4Jw+zue519FoG5eWBd4epb72CIbp42MzmgMvz5eUA4HMdi8XisYwvLwcj89+SFo56RWMfgO9jl5TledhsVggmE8rLy+tsSQyHaJyPvlRUVIR1e8FwCSLM5rr71FYpL7dB1kwnEim8cLHOQLuKIAo4f/480lu19Fmmvp87z/Pu78toXSf1kSGv/Fez/7XdBAR/523cGvJ6j0XR+L6KtMTExDrLxFywHS6lpaW4//77UVpaig8++AB9+/aF3W7H2rVr8dJLL2H9+vX46aefEB8f73V9X8vDLSEByEgVcarMiTKrgOIKE1LidUhUs+5f/cGwukRcrHXijmqnhVbrvU9cZy3QJq4C5wzVX7gXHUokJHj/seNNa6cDF4x1f2G30nNISKhsXe+lE2HJs7tb9b3hWAa9WytDfsQYSr2CIbp4GLWBj5rWJyQAgMc6oihWtoJpNB6/kPUJCSEFwsHWq777EF08XCUVEO1OsFoVuKQ4ybH4OnZveJ6HSqWGRqdDQkJCVIKIaJyPtYmiiIqKCsTHxzdYn1SXIEJbHvhP+YQEVbMNthWcDCzDBhRwswyLzMxMny3b4fjceZ6HTle5/WhdJyR0sXC9x6JofF/FgpgLtqtuHkaj977DJpPJZ6t3TS+99BJ+//13/PLLL+jSpQuAytbyGTNmgOd5PPPMM/j888/x17/+1ev60bwYNHIG3dOUEEURZWVWJCaqQt6/nfcMFpI0HOBne0kaVhJs21zBHX+HJAWKzLYAJiFQuLerkTPoEUAuVbU89GEFodQrKAwT1HpVZX2tw3jZnrdlVXyO0A+hXkEf/+V1HGcLYFi1C+YtByDaq5+ccElx0I/pC93ovpAl6j2OXRQEOM4VgS83AgwDWaIe8tZpYFjmcn1w+V8IdQtBNM5HX6J1jN73Db/3Bs/yDVfXhqbRaDAhdwSW79jkMTiyJhnHYfzg4V5/PNdU379lzfWb8+fS2NBnVUs0vq9iQMwF21Up/c6ePYvu3aVTeFZUVKCsrCyggY0bNmxAQkKCO9CuafDgwQCAQ4cO1b/CYVbfk0ivYMAAqBkvnC5zIVnt/ZegIIo4U+6SLItXBleHUCchiHQu1WhNjiA6XTDv+BOmDfsqk/HbnWA1SiizW0M/ph9U3duF7eYgWO2wn8gDX2aEYLGD1SjBJeqhzG4NVh29SZoEhxPFHyyGaf3vXt/nSw0o/3E9yn/ZhKRbroZ+bP/K5QYLjOv2wLhmD/hi6eNUWXoS9GP7QzO8Z8Tr7w3l9iV1mTN1JpZuXe+3DM/zmDP1xuhUiBDSKMRcsD1gwAC8//772Lx5MyZMmCB5b8uWLQCAgQMH1rkdh8Ph/qdQSLsIlJaWAoDH8qZAxjLo3UKB3wsc7mWrTtnQr6X31ttdFxwot0kj0f6tgg/aQg1UIp1LNdIBlGnzfpR+9RsEg7S/NW+1w1LyJyw7/oQ8IwXJf5niDjhD5SwshXX/SYCvfowtWOwQLHY4C0qh7tkB8vSkeu0jEKKLx7k7XvAZaEs4eZR+sgyKjFSoe2Uj/29vQTB777bgKixF2dcrUbF0CxSTewP9wlvvQFBuX+JPbvfeeG3uo/jb/JfBcZykhVvGceB5Hq/NfZQmtiGESMRc6r/c3FxkZmZi6dKlOHz4sHu5yWTCO++8A5lMhqlTp7qXl5aW4uTJk+4Aukrfvn3hcrnwzjvvSJY7HA73skGDBkXwSBrOLT2k/Z+OlbrwxX4zbDWad0VRxP5CB77cL+3f3TNNjp5p/nOe+lIVqAzLVGFcOxWGZaoqH70HGNBGKrCpb718KXrjBxS/s8gj0K7NmV+Mwuc/h3HN7pD3JVjtHoG2BC/Auv8kBGvkhxsV/PsLGFcFdywFz32G0zc85TPQrkmoMCP1222QHb8YahXDggJt4s3sCdOw4tX3MX7wcPcMxCzLYvzg4Vjx6vs0oQ0hxEPMtWzLZDI8//zzuOuuuzBr1ixMnDgROp0OK1euRF5eHh588EG0a9fOXf7rr7/G/PnzMXfuXMybN8+9/JFHHsHvv/+Od999F1u2bHEPkNy8eTPOnz+PnJwcXH/99Q1xiBE3ubMG/95cgRJrdWC2/qwdO/Id6N1CDq2cxdESJ84bPPsd3tFbF5YgI1YDlXDVq+zHdSh84cuAy4tOF87OfgnZy18LaX/2E3m+A+0qvAD7iTyoumaFtI9AuMqNKH7/F8kyRi5D3MQh0I/qAy45Ho4zF2FYvh3mLQc86lcbq1MDougRhLMuAfpXfgF/4xRw8YEP1iUkGgbn9MLgnF6w2m0wWszQa7RQK1UNXS1CSIyKuWAbqOxT/c033+DNN9/E8uXL4XQ6kZ2djQceeACTJ08OaBtdu3bFwoUL8f7772P79u34+uuvwXEc2rRpg3nz5mH27NlQKqPXxzWa1DIGr1+ZiDsWl6BmcgWrS8S2PIfP9ca2U2F6V00Uati4iU4XLj71scdyZZe20I/qDVlqIuynL8C4ejdcBdVPXESLHQUvfonkW68Oep98WWCTDQVaLlRl36yGaJOeQ+n/uAWqzm3cr5XtWyF1zjTIM1JQ/sM6r9tR9eiAxBmjoeyQAVEUYT96HmXfr4H96Dl3GbbMjPLv1yHtL4Fd84REm1qpoiCbEFKnmAy2AaBnz5746KOP6iw3b948SYt2TVlZWXjxxRfDXbVGYWw7Nd64MhEPrSyDlwQlHnqkyTH/6kSwMdoiHUsqft0uCaIBIPHmKxE/Ptf9WtW1LeKuHIjid3+GedtB93Ljyl2Iv2YwZKkJAe9P5HkIlsC6hwgWO0Q/mRLqq+KXzZLXmsE5kkC7pviJQ2FYuQtCuUmyXNWzA9IfnQXm8iN4hmGg6tIGLf55Kwqe+wz243nusmWfLkPq3ZNi9kkJIYQQUpeY67NNwmdKZw3+OTwevdLlPqeYTtGwuDFHgwcG6iOS1qwpKvtuteS1Mru1JNCuwsg4JM+eAEZdYyCuIMC0ZX9wOwx2bqUIzsXkzCuSvNYO7OqzLCPjoOrY2mN54owx7kC7dvmE6aMly+xHz8Nxpu5JrAiJNt5ogf1EHqx/noHjbAFEV+R+5BJCGreYbdkm4dEuQYYHB8XhkpnHjgsOFFt4uARAp2DQNUWOHmlyas0Okv3Yeclr3UjfmQdYjQqa/l1h3vSHe5nzQknE6hZpoiDtd80o/A+mFWs/VpFzULZv5bO8qns7MHIZRGd1OkpXYSmU7XzPxEdItIiiCOv+kzCu2gXr78cl00azWhV0o/pAP7Z/VLICEUIaDwq2m4lULYeJHdUNXY0mQajVZ5lL8j/bqCw5TvJadDh9lIx9stREuArL3K+tB05C07eT17KiKMJxVppRhGEY/yn1RECMZNM8ISHiDWYU/udr2Paf9Pq+YLbBsGwbDCt2IPHGsdBd0c/nE0VCSPNC/QYICRIXJ02taD+Z56Nk1fsXJK9ZbeMdUKW/Qpr82rT+d7hKKryWtew6DL7EIFkmOlxw1Pp71GQ7cBJwSh/Hy1pQK2GkBBsMNtfgkTdZcfq6J30G2tLCAsq+WolL//0h8hUjhDQKFGwTEiTtoG6S16a1ez1au6s4zhfBdlD6Ba3smBmxukVa8u3XSKb3Fu1OFDz7GSx7j0G8nPpGsDlgWL4dxe/+7HUbZd+vgeglDaDodKFsgTR7ibJbFhRtW4TvAIgExzLQyAMLoTVyBhzbPMPtC4++A+sfJzzfYCq7inlT+NJXMK7ZE+GaEUIaA+pGQkiQkm6/BqVfrHC/5stNKPrvD0i5dwpkidU5oe1nCnDpfwskAxbZOC20ud2jWd2wUrRtgfgpw1Dx8yb3MtelchS9+i3YOC1kKfFw5l+CaPfdVcZ26DQKXvgCidNHQ9mlDSACtkOnUPbDOjhOSVu9k+4YT5lIIixBycLirHtwX4KyebbNOM4Vouz7tZJlrE6NhOtHQze8F1iVAs6LJahYthWmtXsl5Yr++73H0yBCSPNDwTYhQdL07gjNwK6w7Kye4dR24CTy/voG1L07Qp6WAPupi5Kc0VWSbr4SrDK0GTpjRcZrc2E7eAr2E/mS5YLBDIfB7HUdRiGD6Kge9Gg/fBYFz30GRqUARNFrcM4n6xA/fVRY6048dUiSo8jMw+Wnq7yMAbKTGvd5G6qSz5dLBkIychlaPnMn5K1S3MvkLZORctckyFITUF4jMDdvPQjbn2eg6pYVzSoTElF+x90Qr5pnUwUh9dT6jQfA1uq7DV6Adc9RGJbv8Bpoq7pmIe1vM6NUw8iRJerRbtELUASYIUQ3sjeyvn0GjJcfGaLN4TXQFhQcjI9eC05Hg3ojTS1j0D1NAZmP704ZA3RPU0Dlq0ATZ1i6TfJaN7qPJNCuKX7CEI/7QsWv27yWJaQxEax2WA+chGnjPhh/2wnTxn2wHjgJwRrYHBDNHQXbhIRA1aUNsr59pnK68QDIM9OQ9f0z4PRNY4ZOeXoSWv5rNpLvmgh523TPAgyg7tMR6Y/dhOS/TIZueC+0W/Ac2Li6j59L1KNoVi749l62SyIiTcshN1OFVjrO3YdbI2fQSle5PE3LNXANG47zYrHktaZfF59lGRkHde9sybLaE2AR0tg4C0th2rwfzvxi9wRrgsUOZ35x5fJCOsfrQt1ICAmRdkAXtPr3X1D+0waYth3wyKIBAKxeA/2YvoifPAzyFskNUMvIYWQc9GP6QTe6LxxnC+G8UNlXm9WooOyQAVmKNCWidnAOMl6bB9OG3z2msgcAeetU6McNgDo3B2dOHUbz7LTQcKpauAF6TOxXHYNEmVrviyKlsiSNl2C1w7r/JOBlUDuAyie6+0+CG6YFq1ZGt3KNCAXbhNSDLDUBKfdOQeJN42DedhDO/EsQqgLO7NbQDugCRt60LzOGYaDMagFlVt1ZQzitCvHjcxF39WA4L5aALzcCDANZoh6yFklgGAZ8BKebJ4GhQLuaLD0RDpPV/dr6+zGoc9p5LSvyAqx/SLMPydMSI1o/QiLJfiLPd6BdhRdgP5EHdY8O0alUI9S0owBCooTTaxB35cCGrkajwbAMFBkpQIb3vq+ExIq4qwej+O2F7tfGNXsQd9UgyFITPMoaV+8CX2aULNNfPSjSVSQkYmqfz/Ut56GZJPunPtuEEEKID8m3XyN5LdqduPivT2DacgCiq/IpjKvMiNJvV6H0i98kZTX9u0DTS9qHm5DGQuR5dx/tuggWO8QQnkoyHAdWE1j3E1ajBMM1zvEjAbVsP/HEEyFtnGEYvPDCCyGtSwhpeNR3lzR3yg4ZiJ88DBWLN7uX8aVGFL+9ECUfLQEXp4XrUrnXdVMfmB6lWhISAcEONwhxeAKXqA8oqOdqzGPR2AQUbC9atCikjVOwTUjjI1jtsJ/IA19mhGCxg9UowSXqocxuTQNgSLOU8cY82I6ehf3oecly0e70GWinzJmG+AlDolA7Qho3ZXZrOAtK/fcN59hGPftyQMH2mjVrIl0PQkgMcBaWeow8Fyz2yjRPBaVQ9+wAeXpSA9aQkOiTJejRftGLOHXtE7AfO++/MAPETx2JFk/dHpW6EdLYsWol1D07+M56wrFQ9+wAVqWIfuXCJKBgOyMjI9L1IIQ0sGBSPDX1DCuE1CZLiUeLp26HZcefMKzaDfuRs5L3GYUM2qE9EHflQCjatqDuV4QEQZ6eBG6Ytsk+VaVvTEIIgOBSPKm6ZkWlToTEEoZloc3tDm1udziLyuAqKIXocILVqqFo2yLggV6EEE+sWulOH9jUxgvVO9i+ePEiioqK4HA4vL4/YMCA+u6CEBIFEU/xREgTIk9LpBzahERIUwq0gXoE22vXrsXLL7+Ms2fP+i13+PDhUHdBCImSaKR4IoQQQpqjkPJs79ixA3PnzoXFYsFNN90EURTRv39/zJgxA9nZ2RBFESNHjsScOXPCXV9CSCREKcUTIYQQ0tyE1LL9wQcfQKPRYOHChUhJScFXX32FQYMGYe7cuRBFER988AHeffddPPDAA+Gub9SYzWaf73EcB5VKFVBZlmWhVqsDKlv7sYnFYoEoeo9qGIaBRqPxW9YliLBZbADDQKWuLmu3WSEKnn1zzWYeMpaBVqt1L7NarRC8lK1Ss6zNZvM71XYwZTUajfvvYbfb4XK5wlJWrVaDZSt/YzocDjidzpDLii4eZlvlNM4quQLc5WT7DqcTTt6zDuzlz57neXdZp8sFu9MBi80KcKzHOaB2uSCTydxlHS7f9VXK5ZBxlWVdvAt2P8emkMkhv7xdl8sFu93uPhZ/ZXmeh83pAGM2ey0v52RQyOWSsjWPveY6NcsKggCrw169nsMB1mqD2WwGx3GQy+VQKBTVZa3e6woAMpkMSmVl31lRFGGxWMJSNpjrPpCyoijCbDZDqVRKruVg7if1vUf4KhvMdd9c7hE1r3d3WYWyumyt6541m8HIqifgUKlU1fcIhwNms9nno/KaZZ1Op9dumjzPw2q1uq8Lf2WrKJVK9/2k6rr3RaFQQH75+gymLM/zsNlsPsvWvJaDKVvXdR/r94iq610ul4NhmIjFEeG8R9Q85xkw0NSor9Vug1BruzXP+eZ0j6h5DfokhmDgwIHiY4895n7duXNn8c0335SUmTlzpnjPPfeEsvmYgMq2O6//xo8fLymr0Wh8lh05cqSkbEpKis+y/fv3F0tLS0VBEERRFMW2bdv6LNutWzfJdrt16+azbHpGG/G3kxb3v049+vosm5KSItnuyJEjfZbVaDSSsuPHj/f7d6tp+vTpfsuaTCZ32dtuu81v2aKiInfZ+++/32/Z06dPu8s+8sgjfssePHjQXfbpp5/2W3btG5+IFcu3ixXLt4vPzp7rt+zS/7ztLvvq/f7rsOSXX0TB6RIrlm8X33n4Sb9lP/vHv8WK5dtF3moXP/vHv/2WfefhJ911WPLLL37Lvnr/I+6yS//ztt+yz86e6y679o1P/JZ9/KbZ7rLb3/vGb9lHHnnE/VmcPn3ab9n777/fXbaoqMhv2dtuu81d1mQy+S07ffp0yTnsr2wk7xE1hese0bZtW0nZ/v37+yxL94jqf9vf+8Z9Dj9+02y/ZXfu3CmKoigKgiA+88wzfsuuW7fOXYf58+f7LfvCCy+ILpdLFEVR/PTTT/2W/eGHH9zb/eGHH/yW/fTTT91lly5d6rfs/Pnz3WXXrVvnt+zLL7/sLrtz506/ZZ9++ml32YMHD/otS/eIyn+Ruke0SWvhPtcrlm8X+3Ts6rNsc7tHBCKkbiRWqxXp6enu1wqFAiaTSVKmd+/e+P3330PZPCGEEEIIIU0CI4o+ni/4MWbMGAwdOhTPPfccAGDcuHFo06YNPv74Y3eZJ554AqtWrcLu3bvDV9soaqhuJHa7HQkJCWAYJizdSDacDbwbyci2KupGEkRZ0cXDuG4vgMC6kehH9wUAODcf9OxGYjZDo9V6PFZOuToXMpkMxtW7A+5GohvVB+VrdgXcjUQ9qjfsdrv7WPyVreoaohveC6ZNf3iU9dWNpOrYa+7DXzeSHYcPQNO7I4aOGN6ku5GUl5cjKSmJupGEULYhupHUvkb8dSPRj+7rtRuJKIooKiqC1sv1Xrss4L8byZYtW6BQKDBq1ChwHEfdSGL4HlF1vVd9vzeWbiRV53wg3UhqnvPN6R4RSDeSkPpsd+nSBcePH3e/HjRoEH7++WcsW7YMo0ePxp49e/Drr7+ie/fuoWw+JtT8QKNVVhRFyQ2t5kVQF29lXYIIlYaTLLPbrLCYDNDo4qBUqSXvabWVwXZNNS/autS8cYSzrFKpdN/swllWoVAE1tfKR1nRxUNQef59FHK5O4isqeqzN3LVn4lcJoPT5YTZZoNOp4Om1vaqvhirysplgV2yMk7m7r8NVN4YjRYz9Bot1Erp314mk0Emk3k9lto4joOWU0Or1UKso3xVWaD62H3tg2VZaC+/x/M8VAoFVGoVtFqtO+iQlA3wmmMYJiJlgfpf96Iowul0elxjwWy3vvcIX4K57pvLPcLX9e4uW+u612q1kmC79nb9Bds1yeVydyBbE8/zHn97X2W9qbruw12W47iAz+FgygZz3cfiPaLqevf1uUfq3lOfe4S/c77290hVvbyd8039HhGIkILtMWPG4LnnnkN+fj4yMjJwzz33YOXKlXjkkUfcZTiOw4MPPhjK5kkEHNy9FQs/fhPbVi+FIAhgWRa5YyfiutkPIKd/bkNXr1nadnAf3l70HZZt2whBFMAyLCbkjsDcaTdicE6vRrMPQgghhPgWUp/t6dOn448//nBP456ZmYkff/wRM2fOxNChQ3H99ddjwYIFNKFNjFjy9Qf428xx2L7mV/ejHEEQsH3Nr3h45lgs/ebDBq5h8/PR0p9wzd/vxfIdmyCIlz8TUcDyHZtw9SP34ONlCxvFPgghhBDiX9ima2/Tpg2efvrpcG2OhMnB3Vsx/+mHAFEEX6sfcdXrt556EO06dceYrNENUcVmZ9vBfXjk7VcgAnDV6m9W9fpv819GTlYHjBvbP2b3QQghhJC6hdSyvXjxYr+DD0jsWPjxm+BY7/0Gq3Ash4WfvBWlGpG3F33n0Q+5No7j8Paib2N6H4QQQgipW0jB9qOPPoqhQ4fi8ccfx9atW32OdCUNy2q1YtvqpR4t2rXxvAtbV9EPqGiwWq1Ytm2jR2tzbS6ex9JtG0P6TKKxD0IIIYQEJqRg+4EHHkDLli3x888/Y/bs2RgxYgRefvllHDlyJNz1I/VgMBj8ptupSRAEGAyGCNeIGAwGd//puoT6mURjH4QQQggJTEjB9n333Ydly5bhp59+wi233AJRFPHJJ59g6tSpmDRpEj7++GMUFhaGu64kSHFxce5ckHVhWRZxcXERrhGJi4sDy0T2M4nGPghpquhJLSEk3EIKtqvk5OTgH//4BzZu3IgPPvgAEyZMQF5eHl555RWMGTMGd9xxR7jqSUKgVquRO3YiOM7/OFiOk2HIuMlB5cIkoVGr1ZiQOwKyOvpTyzgOE3NHhPSZRGMfhDQlgtUO64GTMG3cB+NvO2HauA/WAychWH1P5EIIIYGqV7Dt3gjLYsSIEXj11VexdetWPPTQQ2AYBtu3bw/H5kk9TJv9V/CC/767vMBj2p3zolQjMmfqTL+zXgGVE1bMmXpjTO+DkKbAWVgK0+b9cOYXQ7BUBteCxQ5nfnHl8sLSBq4hIaSxC0uwDQAmkwk//vgj7rnnHvzvf/+Dy+UKauYiEhnd+w/BvGffABjGo4Wb42QAw2Des2/QxDZRlNu9N16b+ygYwKP1WcZxYAC8NvfRek06E419EFIfsdBdQ7DaYd1/EuB9jHHgBVj3Uws3IaR+6pVn2+VyYf369Vi8eDE2bNgAh8MBlmUxZMgQTJkyBePGjQtXPUk9TJx1N9p16o6Fn7yFrasWS2aQnHbnPAq0G8DsCdOQk9UBby/6Fku3Vs/uOH7wcMyZGp7ZHSX72LbR/bmHcx+EBEOw2mE/kQe+zAjBYgerUYJL1EOZ3RqsOrDpkcPJfiLPd6BdhRdgP5EHVdesqNSJENL0hBRs79mzB4sXL8aKFStgMBggiiK6deuGyZMnY+LEiUhJSQl3PUk95fTPRU7/XNhtVlhMBmh0cVCqqK9uQxqc0wuDc3rBYrOisLgY6Skp0IT5M6nah9Vug9Fihl6jhVqpCus+CAmEs7DUoxVZsNgru2wUlELdswPk6UlRrRNfZgxrOUII8SakYPumm24CALRs2RIzZszAlClTkJ2dHdaKkchQqtQUZMcYtVKF1ITEiAbBaqWKgmzSYALtrsEN00athVvkeXcf7boIFjvEOsZAEEKILyEF29OmTcOUKVMwaNCgcNeHEEJIExNMdw11jw7RqVSwXcYbvos5IaSRCinYfuGFF8JdD0KaFVeJAcZ1e2DdcwyuMiNEiDAkxUHTvwt0o/tClqhv6CoSEjbUXYMQ0pzVa4AkISQ4vMmK4vd/gWnTH4AgbSpzGCxwnClA+aKN0I3ojaRbr673/gS7E9Y/TsB1qRzgebBxWqhy2kGemlDvbRMSiFC6azB15IgnhJDGJKBg+9ZbbwXDMPjPf/6DFi1a4NZbbw1o4wzD4PPPP69XBQlpKvgKE05P/z9Y/zhRR0EBpnV74TxfBN3IXuB0wafQdJUYYPh1K0wb/oBgsUnfZAB1r46Im5ALdU67oLdNSFCouwYhpJkLKNjeuXMnGIaB1Wp1vw4EwzCh14yQJkQURJy986W6A+0a7CfycP6eV9D2q6eC2pdp6wHkP/YORF+tiSJg3Xcc1n3HETdxCHRj+oJhw5ZynxBCCCE1BBRsHzlyxO9rQpoyURTr/cPRuvcozJv+kC6UcdCN7A1172zYrDaIf56r7F5SYyCZcdVumNbtDXg/tuN5KHzxS4g2R0DlDUu3ouC5z9Hy6TsC3gchhBBCAkd9tgnxItyTbxhW7Za8ZuO0aPnU7ZC3SoEoihDNZmiH9kLc+MEoePYzCCaru2zJZ8uRHED/bdHF49JbP3oG2gygaJ8BVqOE/UQeRKv0/eK3F0J/Rb+gj4kQQgghdQvp2fHixYvdXUoIaWqchaUwbd4PZ36xe2CXYLHDmV9cubywNKjtuUoNsB04KVmWOPMKyFt5Tv6kaJ2GhOmjJMuMK3eBN5jr3I9552HwxRWSZepe2ch4fR5aPXcXWjxxCzLf/hsSbxwLsNKW+uL3fg7sYAghhBASlJCC7UcffRRDhw7F448/jq1bt0IUaUQLaRoCnXxDsAaWXQEAnBeKpQtkHLRDuvssrxveC6jZbUUQ4LxYUud+jKulreeKrBZI+9tMyax8rEqB+ElDkTBjjHTdVbsrM5YQQgghJKxCCrYfeOABtGzZEj///DNmz56NESNG4OWXX6a+3KTRC2byjUCJDpfkNRenBauQ+yzPqpVgddJZPkWH0+8+BIcL9qPnJMviJg4BI/OeQi3uyoFgVIoaOxBh/fOM330QQgghJHghBdv33Xcfli1bhp9++gm33HILRFHEJ598gqlTp2LSpEn4+OOPUVhYGO66EhJxkZh8g9VIp0nnSw1wlZt8lnddKodgtPjdRm2C2QrUesLkL60fq1JA2SFDuo1a+ySEEEJI/dUr31dOTg7+8Y9/YOPGjfjggw8wYcIE5OXl4ZVXXsGYMWNwxx2U4YA0HqFMvhEIRdt0MArpWGTjih0+yxtWbJe8ZnVqyDPT/O7D2yQggtnmpaTv9xmO0v8RQggh4RaWb1eWZTFixAi8+uqr2Lp1Kx566CEwDIPt27fXvTIhsSJCk2+waiW0Q3pIllUs3QLjmj0Qa8wiKQoCDCt3wrBCmsc+YcYYv91OAIDVqcDUypJi3nbQZ3nnxRI4zlyULJPRrJKEEEJI2IUt9Z/JZMKKFSuwePFi7N69G4IgQKvVhmvzhDRq+isHwrT+9+oFgoiSj5eiYvFmqHt3hNPpQNnBMx7ZRMCySL5jPJzni/xun2FZaAfnSHJyV/y6DZrB3aHIkGY9EV08Sj5bLlnGJeqh6tkhtIMjhBBCiE/1CrZdLhfWr1+PxYsXY8OGDXA4HGBZFkOGDMGUKVMwbty4cNWThCDYaVhovs/IUWa1QOqD1+PSGwsky12XymFctcvneml/vxGqzm3qDLYBQD+uvyTYFq0OXPy/DxF3zWBoc7uD1ShhO3QaFUu3emwv8caxdbaeE0IIISR4IQXbe/bsweLFi7FixQoYDAaIoohu3bph8uTJmDhxIlJSPPMHk+jjWAYaOQOLs+7+Dho5A46lcDuS0h+/GYLFjpIPFgdUPm7SEKQ9fEPA21dmtYRmYFdYdh52LxNtDlQs2oiKRRt9rscl6JBy7xTYDp4OeF+EEEKaD1EQ4TiVD3NeIWxmC9SJ8YjLaQ8uXtfQVWsUQgq2b7rpJgBAy5YtMWPGDEyZMgXZ2dlhrRgJjwQlC4uz7oF8CUoaHBdpDMui1fN3g1XKUb54M5xnvWfsUWS1RPy1w6Ad2C3oaeJT7pmCSw4XrPuOB1YnpRxtv3gS8hbJFGwTQgiREGwOGNftxaVlmyErrZ5czQGgFCIcXTPQbsZVUHVu03CVbARCCranTZuGKVOmYNCgQeGuDwmzDklyFJl5uPw0bssYIDuJuhBEiza3OzSDc2A/ngfLnqPgy41wuVxQpiRCO6ALFB0ygg6yq7BqJbIWPIuzNz0Hy84//ZaVpSYg9a/ToR2cE9K+CGlWqF8eaWbspy7gwhPvw1VY6jVY5MBAffgCCv71KeImDoFuTF8w8D63QzSIohjyd2ekhRRst2rVCgUFBeGuC4kAtYxB9zQFDhY5vAbcMgbonqaAShabJ2hTxTAMVJ0yoeqUCVEUYTabodVqw3Kj4LRqpD14PRxnC2BYvRvmbQchVqU0ZBmourSFftwAaPp19jnpDSFEiuE4sBplQOlBWY3SazpOQhoLR14RTk15Aq7C0oDKG5ZuxcWnP0bGi/dGuGZSgtUO+4k88GVGCBY7WI0SXKIeyuzWYGtl6GpIIQXb7733Hm677bZw14VESJqWQ26mCidLnSi3C7A4RWjkDBKULDokyaGmQLtJUrRtgZTZE5F8xwQIFhvAC2C1KgqwCQkRl6gPKNjmEvVRqA0hkSGKIs7f84rXQLtAsKJEcCCb00HJSL9LSt5fDN2I3oi/ZnBU6uksLIV1/0nJrM+CxQ7BYoezoBTqnh0gT0+KSl3qEnLLdkVFRd0FScyoauEGYvtRCwk/hmXA1Zr+nRASPGV2azgLSiVf7h44FsqOmdGrFCFhZt1zFOZthyTLjvNGvGT5E7tdlQG4npFhprIt7lFlQ85Uj/kqnv9TVIJtwWr3CLQleAHW/SfBDdPGRAt3SKPiJkyYgM2bN8NoDHzKahI7KNAmDYJOO9LIsWol1D07AL5mW+VYqHt2AKtSRLdihIRRySfLJK8vCTbcYdzuDrQBwCi68KHtJF6zHpGUNW87BOufkR9sbz+R5/9HLwDwQmW5GBBSsH3fffehc+fOuO2227B+/XqUlJSEu16EkCamqs9rIFilgvq8kpgkT0+CblhPyDNS3Oczq1FCnpFSuTxGHlsTEirjmj2S19/Yz8IouryWXWA/hxJB2rXKuHqP17LhxJcF1tgbaLlIC6kbSa9evQBUdke47777fJZjGAZ//uk/IwIhpPkItM8rq6duLyR2sWol1D0qZ1ylbnmkKREFAa5aMxnv5H0PknRBxC6+FFezLauXXSqPVPUAACLPB/Q9AlT24RZ5vsEbb0IKtvv37x/uehBCmoFA+7zKW6dFr1KE1AMF2qRJYRiAZQC+On2ZvI7eGkpR2kki4oPw656nr37lIyCkYPvLL78Mdz0IaXxCybsbAxd9WISYc7iqz6vPgS0cC3VOFthjhzzfI4QQElEMw0DeKgXO80XuZc8OnIjJ274Cx3Fw8dWT5Mk4DmqewQh1C2lw3opmEa+Npg0kJERB9UFuYnl363Ps1OeVEEJiV/yU4ZLXbU9WYNVjr2D84OFg2cqwkWVZjB80HL+N/Qu4GoE2OBbxE3KjWd1GIaSW7WjYv38/3nrrLezbtw9OpxPZ2dm47bbbMGnSpKC2YzKZ8Mknn2DlypU4f/485HI5MjMzccUVV2Du3LkRqj1pLqKVd1fkBVj2HoVp7V7YT+ZDsNoBhQzy1qmIG9UX2iE9wCqjOwtofY7dX59XvkbLCSGEkOhKvmM8it9eCIiVQbTodCHtyy14a8pEvHv3IzDLRKjyymBbuQfWPcck68ZPGEIt216EFGzfeuutAZVjGAaff/550NvfsWMHZs+eDblcjgkTJkCv12PlypV45JFHkJ+fj3vvDWyGogsXLuC2227D+fPnMWTIEIwcORIOhwPnzp3Db7/9RsE2qbdo5N01rv8deQ+9Cb7WoBVYHXAez0fJ8Xxc+nIFUm+9BvpRfULeT7DCdezU55UQQmKHsl1LJN4wBmXfrXEvE612lH+3Bri8zOptRRmH1IdmRKeSjUxIwfbOnTv9vs8wTMgjtF0uF5588kkwDIOvv/4a3bp1AwDMmTMHM2fOxFtvvYWrr74aWVlZfrfD8zz++te/oqioCJ999hkGD5YmWXe5vKexISQYAfVBrkfe3fKfN+H8fa/WmU+UtTlR8sFi8KUG6KIUcEf62AkhhDSMjFfnwHY8D9Y9RwNep/Xr86DplR3BWjVeIfXZPnLkiNd/u3fvxueff45evXrhyiuvxMGDB4Pe9vbt23Hu3DlMnDjRHWgDgE6nw/333w+Xy4WFCxfWuZ3ffvsNBw4cwJ133ukRaAOATBazPWhIIxOpPsj2E3nIm/N63Yn7ayj/cT3KF24IaX+hoP7XhBDS9LAaFdoteA6a/l3qLMuoFUj963QkzrwiCjVrnMIacep0OgwaNAgfffQRJk+ejHfffTforhpVrebDhg3zeG/o0KGSMv78+uuvAICrr74aFy9exPr162E0GpGZmYkRI0ZAq9UGVS9C/IlE3t2y79dCdEqfwBx2VeB7+zkc5g1ow2owTZmJXLm0f1zBv79Axsv3g/E1y12YUc5hQghpejidGqkPzYD9eB6Mq3fDvOMQ4KyRjSQ9Efqx/aEb0RucXtOANY19EWne1el0GD58OBYuXBh0sH3mzBkAQNu2bT3ei4+PR2JiIs6ePVvndqpa1ffs2YMXX3wRDofD/V5SUhLeeOMNDBo0yOf6ohj9HG1V+2yIfZPKv3swf3tRFN0DSLy+F+A+vH3uzvxLsB2STnn7o/0cnrcccmcPPMIbsNJZgFnKtnhMU/0UyHWxBJa9RwNqkfC1/4DWCfLYg9l2zTo11euhuVzv4byuwqmh6hWuz725XCdNRWO83qvqquzYGsqOrZE0ewL4UiNEpwusTg0uQeduXHGfg0342vUlkAamiPWlYFkWly5dCno9k8kEANDrvWdv0Ol0KCgoqHM7VVPIP//887jzzjtx8803Q6FQYNmyZfjPf/6DOXPm4Ndff0VamvfJMyoqKhrsoqioqKi7EAk70cXDZjYHXJ4vLw86eb+/fVgsFvf/zev2St4rFRx42XLYa5rub+xnMUHRCt1lCe5lFev2Quwa2KBMvrwcACJ+7AFvm+fd94Hy8nJwTShlojdN/XqPxnUVioauV30/9+Z2nTQVjel693qN6JUALqd9rfGdBTSfa7e2xMTEOstEJNg+f/48VqxYgVatWkVi8wGpCpRHjRqFRx55xL38lltuQWFhIT788EP8+OOPuP/++72uHx8fH5V61iSKIioqKhAfH0+P4huA6OJhDKJ7kT4hIaRgu/Y+RFGExWKBRqNxf+6WEoOkzGpnAezw3Xd7iSNfEmyLxRUBd5XSJ1SuF+ljDxTP89DpdACAhISEJhtENJfrPRrXVSgaql7h+tyby3XSVDTG652u3fAJKdh+4oknvC7neR6FhYXYs2cPXC5XSKn1qm4eRqPR6/smk8lnq3ft7ZSVlWHMmDEe740ePRoffvih3wGcDXkxMAzTaC7GJiXIv3tIn5OfdWpuT3RKc00nZbSE7NQRyexdNV0SpPmuRacr4LpVlYv4sYew7eZwLTT5Y4zGdRWKBq5XsNurPR6iuV0nTUWj+qzo2g2bkILtRYsW+X0/KysLd9xxB2644Yagt12V0u/s2bPo3r275L2KigqUlZWhT5+6U5u1a9cOZWVliIuL83ivapndXveEHIQ0BFanlrweFp/hd7KXXjVatQGA1aq9FySENBqC1Q77iTzwZUYIFjtYjRJcoh7K7NaAgjJqEdJYhHS1rlmzxutylmWh1+vdrdOhGDBgAN5//31s3rwZEyZMkLy3ZcsWAMDAgQPr3M7gwYOxd+9enDhxAldeeaXkvRMnTgAAMjIyQq4nIZGk6pwJ86Y/ql+fKsJ7N/8V9371JjiOk7RwJ3JKXKtoXWv9NlGrKyEk/JyFpR457AWLHYLFDmdBKRQ5WQ1XOUJIUELKDZaRkeH1X8uWLesVaANAbm4uMjMzsXTpUhw+fNi93GQy4Z133oFMJsPUqVPdy0tLS3Hy5EmUlpZKtjNt2jQoFAp89dVXKCwslGzn/fffBwBcc8019aorIZGiHdIDjFpZvUAEhu0qxpqHXsT4wcPBspWXbluZDl+kj0Q8K504Rn9Fv2hWlxASRoLV7nuyKADgBVj3n4Rgd3h/nxASU8L6HMpkMuGPP/6AUqlEv379QuojI5PJ8Pzzz+Ouu+7CrFmzMHHiROh0OqxcuRJ5eXl48MEH0a5dO3f5r7/+GvPnz8fcuXMxb9489/LMzEw8+uijeP755zF58mSMGzcOCoUC69evR35+Pm644Qbk5uaG5bgJCTdWpYB+dB8Yft3uXuYqKkPyZxvxn/Yd8OrkwbBfLIFwPM9j3lzdqD6Qt0oBIaRxsp/Iq3syK16As/ASlO3pCS0hsS6kYHvBggVYunQp3nzzTXfWjiNHjuCuu+5yp9zr27cvPv74Y6hUqqC3P3jwYHzzzTd48803sXz5cjidTmRnZ+OBBx7A5MmTA97OLbfcgoyMDHz88cdYtmwZeJ5HdnY27r33XsyYMSPoehESTQnTRsFxugC2w2ckyx2nLgCnLnhdh43TotVL91aWIYQ0SnyZ9wQBtQlGa92FCCENLqRge/HixbDZbJL0eC+++CJKS0sxbdo0lJSUYMOGDfj2229xxx13hFSxnj174qOPPqqz3Lx58yQt2rWNGTPGa0YSQmIdq1Ei64d/4cyN/4Lt4Kk6y3NJeqQ/ehMUbdIp2CakkRJ5HoIlsMH7gt0B0c/AaUJIbAipz/aZM2fQtWtX9+vS0lLs3LkT06dPx7///W+899576NGjB5YsWRK2ihLSHMnTk9BhyX+QMH0UuATv4yEYtRL6qwai1b//AkWb9CjXkBASVo1ngkFCSIBCatkuLy+XzJize/duAJBk/ejXrx9++umnelaPEMJqVUiYNhLxk4fB8vtxOE7mQ7DawCgVULROg2ZgV7AqRd0bIoQQQkjUhRRsJyQkSKZi3759OziOk+S/FkURTqez/jUkhAAAGBkH7YAu0A7o0tBVIYQQQkiAQgq2O3fujDVr1uD48eNQKpVYtmwZ+vTpI5keOj8/H2lpaWGrKCGEEEIIIY1NSH2277rrLhgMBkyePBlXXXUVDAYDbrvtNvf7DocDO3fuRE5OTtgqSgghhBBCSGMTUsv24MGD8e6772LhwoUAgKuvvhpjx451v79nzx60bNkS48aNC08tCSGEEEIIaYRCntRm1KhRGDVqlNf3cnNz8fPPP4e6aUIIIYQQQpqEkLqREEIIIYSQxk8UKd9kpIV1unZCCCGEEBLbBKsd9hN54MuMECx2sBoluEQ9lNmtwaqVDV29JoeCbUIIIYSQZsJZWArr/pMAL7iXCRY7BIsdzoJSqHt2gDw9qQFr2PRQsE0IISTiXGVGmNbugeX34+ANZgCALCkOmoFdoRvRG5xO3aB1sx8/D8FkBSOTQdYiCcrs1mBYpsHqREgkCFa7R6AtwQuw7j8JbpgWjJxCxHChvyQhxE2wOWDedhC2Q2fAmyxgZBzk6YnQDu0JZftWDV090gjxJguK3/8Fpk1/AIK0byhfXAH7sfMo/2Et9FcOROKMMVGtm+3wWRhW7IBlzxGPusnSE6Ef2x/6K/rTDK2kybCfyPMdaFfhBdhP5EHVNSsqdWoOKNgmhECw2FD67SoY1+yBaLFL3rMCMCzfAUX7Vki8YQzUPTo0TCVJo+MqM+LUlCdgO3jKbznR4YJh6VY4zhVCN6pPxFu5RUHAxac/RvG7P/ss4yosQ9nXq2BcvRvpj94U0foQEi18mTGs5UhgKBsJIc2cq9SAU1P/AcOSrR6Bdk2OUxdQ+NJXMPy2M4q1I42VyPM4e8tzdQbaNdn2n0T+w29FsFaVmRcu/OMDv4F2Ta7CMhQ89xkc54siWi9CIk3keQh+7vE1CRY7RJ6PcI2aj3q1bF+6dAmHDh2CwWCAIHh/LHHttdfWZxeEkAgSXTzO3vI8rL8fD3AFoPTz5dDm5kT9kT9pXMp/3gTz1oPShTIOuuE9oe7VEaKLh2X3EVh2HAJq9OAo/3E9Uv4yGZr+XSJSL8Ov21DywWKP5YxcBnlmGniDGXxxheQ9vtyE8/e/hg6/vgKGoX7cpJEKNsMfZQQMm5CCbbvdjieffBLLli3zmZ9RFEUwDEPBNiExzLh6Nyy7DnssV/fKhrJrWwhGC8zbD4EvMUjez3/sXcSNz23QQW0ktpV8vEzymkvQocX/3Q55y2T3Mt2Q7rAdG4TCF7+EaHdWr/vJsrAE21XfQzVdmr9QWohjkXDdKMRdOQCsRgVRFGE/cg4lny+H81yhu5hlx5+w7jkasR8BhISDt3OeNLyQgu1XXnkFS5YsQVZWFiZOnIj09HTIZNT9m5DGRBREGFZKu4RwSXqkPXIjlFkt3csSZ45F+U/rUfHzJvcyocKM8h/XIfn28VGrL2k87KcuwLL9kGRZ4s1XSgLtKqpOmYifMhzlP6x1LytftBEZr8wBq1UFvW9/+YPtpy7AsuNPSfmkW69G3LgB7tcMw0DVtS1aPHkbLjz6Dvhyk/u94o+Xog0F2yTGUM7s2BdShLxixQpkZ2dj4cKFUCholDYhjZH96Fm4Ckoly1L+MkUSaAMAw7FInDEG9pP5sB2o7n9b+vkKCraJV7YjZyWvGbUC2oHd3K+tdhuMFjP0Gi3UShX0Y/pKgm3R7oT97EWou7ULar915Q+27JQ+xeESdNCP7uu9Xjo19FcPQvl3a9zvm9buDao+hEQa5cxuHEIKto1GIyZNmkSBNiGNmP3kBclrWXoSVD3a+ywfN26AJNi27j8JkefBcFzE6kgaJ8EqHYQlS4oDI+Ow7eA+vL3oOyzbthGCKIBlWEzIHYG5025ES7kMotNVvQ1zYAO5au6zrvzBtqPnJItU3bL81uvB3GuQUqO8q7gCoiCAYSm3AGl4weTMphbuhhVSsN2hQwcUFxeHuy6EkCiqHRAp2qb77esnb9tCukAUIZht4OK0kageacRqnxPOglJ8uvAHPPTh6+A4DoJYGRwIooDlOzZh//adWBw/UrqN+ODOq4DyB9c6vQW7Ex8t/QmPvP2K13rl7/wDn+oHV6/AMgD1hyUxIpic2ZSytWGF9PP8rrvuwpo1a3D27Nm6CxNCYhKrlEteO2t1KanNVVDiuQ1N8H1qSdOn7pUNcDW+XngBf3yxCCIAV610Yi6ex80qaXcRLlEPZTtpd6a6BJIXWJYcL3lt3n8Cz7z9X5/1GiuX/sCUZ6TS4DMSMyhnduMRUst2amoqhg8fjuuvvx633norunXrBr1e77XsgAEDvC4nhDQseZt0yWvnuULYT+RDmZ3htbxx3e+S18pOmWBk1IWEeJKnJSJ+fC4qlmxxL7tX3RH5ghUrnQXuZSyAmcq2mKFsI1k/6eYrg5oqOtD8wZr+XVD6xQr3bJGsk8cD2i543nzQo2w2q8N0ZaZkWcK1wwOuEyGRRDmzG5eQgu1bbrkFDMNAFEXMnz/f7y/9w4c904oRQhqeukcHcEl68KXVrR7F7/+C9CduhiwpTlLWuG6vR3aJpJuviko9SeOU/JfJkmBbxXB4RdcHf+GN2Oy8BDlYjJKnoTWnka7IsUi6I8iBtwHmA5YlxUHTv4tkoOT1ikykM0p8YTuNva4yJDMKTFJm4E5VByiZGj8mGQbJwdaLkEihnNmNSkjB9pw5c+hRGiGNHMOx0F/RH+UL1rmXOfMvIf9v86Ed2gOqrlkQTBaYthyA40S+dF2VAomzxka7yqQR0Q3tgaTbr0HpZ8slyztyenTkvD8JBQDtvKkeGXHCKX7KcFj2HgNc1S19I+RpGCFP87uealIuFLXHLRBCGgxfYYZxw++w7DwMvtQAURDBxWuh6dMJ+iv6QZaa0NBVdAsp2J43b16460EIaQBx1wyGdd9x2I/nuZeJdidMa/f6TXPW4p+3erR+E1Jbxsv3w1lhgnHRproLA/jIdhIvPjgjonVStmuJ1m/8FXnz3gB8TMpW2x+uMkx9+b6I1osQEhjB7kTJ58thXL3bY4CoYDCj4nwRKpZsgTY3B0l3TGigWkpR/iJCmjFWpUDWt88E1WIXN2kIkv8yOYK1Ik0FI+PQ9r2/45cWDpzjzT7LHXEZ8HfLPpzt2woajcZnuXBJnDEGbT56DDa27mB7tbMQv3RXQZuUELb9+5p5mZCa6DzxJFhsOHPjMzD+ttN/JhZRhHnrQRQ8+ylcxRXRq6AP9Zr20WKxYM2aNTh8+DBMJhO0Wi26du2KsWPHRuWGSQipP0WbdHT49RWcnf1S5ex6Pm7wvE6FtFlXQj+qD3UjIwFjGAYD77we4/9+LwbLUjBMnooUVgkBIooEG1Y5CnGALwcDYMXUZ6JWr/hJQ1H+wHh8+e/Xcb0yE1mczv2eTeTxm+MiFtjP4SBfgRXXvV/v/VXN8ucqNcJ2qQSm1GTIkmiWPyJFs0H6Jooizs/9L8yb9we8jvN8Ec7e9m90WPZygw7oDznYXr16Nf75z3/CYDBIfn0xDIO4uDg899xzuPLKK8NSSUJIZMlSE5D21+n48vtv8ed3yzBQnoJ4Rg6HKCBfsGC5qwDrywrwH3NHzEafhq4uaWRyu/fGq3Mfxd/mv4ydYpkkzZ6M48AAeG3uoxic0yuq9Ro8YCAO3T0D185/GWkyNbQCBzt4FAl2iBwDnufDUq+as/xVfV8KFhucVprlj1Sj2SD9s+z4ExU/1+qSxjLQDu0JTf8uYGQsrPtOwLThd4iO6gmyLLsOo3zhBiTOGBPlGlcLKdj+/fff8eCDD4JlWcyYMQODBg1CSkoKiouLsXPnTixatAgPP/wwvvzyS/TpQ1/MhDQG2w7uw7zP/gcRwDu2E17L/G3+y8jJ6oBxY/tHt3Kk0Zs9YRpysjrg7UXfYum2jRAEASzLYvzg4Zgz9caoB9p11WtimOpFs/yRQNB5UreST5ZJXjNqBVo8ebskJ7+mTyfETchFwbOfSjJtlXyyrPEF2++99x7kcjm+//57dOrUSfLe+PHjMWvWLNxwww14//338d5774WlooSQyHp70XfgOM5jco+aOI7D24u+xbgHZkexZqSpGJzTC4NzesFqt8FoMUOv0UKtbPiJkSJZL5rljwSiqZ8noijWq/shb7Ki4pfNkmUJ147wOvmVPC0RSTddiUtv/eReZtl5GPYTeVBmtw65DvURUrC9b98+jB8/3iPQrtKpUydcc801WLNmTb0qRwiJDqvVimXbNrqnq/bFxfNYum0jrFYrNHqd37KE+KJWqmIiyK4tEvWiWf5IIGLyPAk2Nq5VPpz9zx1nLkJ0uiTLdKN895zQDOgKRq2EaK2e+Md27HzjCratViuSk5P9lklOTobVag2pUoSQ6DIYDHUG2lUEQYDBYKBgm5A60Cx/JBCxep4wHAdWowyobqxGCYarHoAY7v7ngtUhrZtcBk5fnYij9lMpRsZBlqiHs0awLVgD+xtHQkjBdkZGBrZs2YKHH37YZ5lt27YhI8P7tM+EkNgSFxcHlmEDCrhZlkVcHOXYJqRONMsfCUQMnydcoj6gYJtLrJ6oKhL9z7l4reS16HTBkV+MPWV5eHvRd+4nsyzDYkLuCMy75jqkF5ZKtxEn3UY0hZRne/z48Th06BAee+wxFBYWSt4rKirC448/jkOHDmH8eJralpDGQK1WY0LuCMg4/6mRZByHibkjoFaro1QzQgghDUWZ3Rrg6ggVORbKjpnul8H0Pw+4Hu1bgUuWNvLsfO8bXPP3e7F8xyZ3Q5EgCli+YxMW/PsNaR1kHDR9vHd9joaQWrbvvvtubN68Gb/88gt+/fVXtG3bFsnJySgpKcHZs2fhdDrRs2dP3H333eGuLyEkQuZMnYmlW9f7LcPzPOZMvTE6FSKEENKgWLUS6p4dfLdUcyzUPTuAVSnciyLR/5yRcUi6+Spc+t8C97LWJ8twq7IdvrKfqS4H4GouHX9RZUvWj580FLKU+ID3F24hBdsqlQpffvklPvzwQyxatAgnTpzAiROVqcIyMzNx7bXX4u6774ZCoahjS4SQWJHbvTdeu5wLuXZWEhnHhS3nMCGEkMZDnp4Ebpg2oMGOofQ/Z+p4olol+Y7xuPT2QsBV/d30sKYLblJlYaOzCE5RwFB5Ktpynt1FUu6eFNA+IiXkSW0UCgXmzJmDOXPmwGQywWw2Q6vVQqejQVOENFaxmguZEEJIw2HVSnfKQb9p/CLY/1zRJh0tn7kTF5/8ULI8nVXhemUbn+vF33ENtINzgqxYeNVruvYqOp2OgmzSpPAGM2xHz0EwWipHNacmQtk5Ewwb0jCHRiVWcyETQghpePXJl11fKfddC8OFIpjf+SWg8gvt53HPA1MjXKu6hSXYJqSpsJ/Ih2HFdph3/OnRP41LiYf+in7Qjx0ATtv0g89YzYVMCCGkeWIYBi0fuwnjX34as1Xt0EuW6LXcSd6IT22nscx1EY8mJkS3kl4EFGxfccUVYBgGn376KTIzM3HFFVcEtHGGYbB69ep6VZCQaBBFEYWvfouil7/xWYYvrkD592thXLUL6X+fFcXaEUIIIQSozJ4VN6Ar7tyxCdnQYqw8HWmsCiwYFIt2bHJewh5XaUxlzwoo2BZFEaIoSl4Huh4hjUHhf772G2jXxJcaUfD859CO6AV116zIVowQQgghElXZs47AgCO8wWuZWMqeFVCwvXbtWr+vCWnMTJv3ew+0ZRwUmf/f3p2HRVW2fwD/zpwZYGBYRXDDXXFFM0Bw19xySSWz3EutLLGyzOqt1zbNXss20DYr08xc0ErMMjNzA8UK931HBWTfhmGW8/uDHyPDDDAMMzDA93NdXjXPeeaceziz3PPMc+7HD/r8QmhTM4026fMLcX3O/9Bx/8oGMY+biIjIUdS16lmcs00N3p3oGOMGCeA5rj887g8zLAervngT6Wt3oujiTUM39ZlryNvzD9yHBtdkuJWr6rUrEnDlOiIiqlPqUvUsq5LtGTNmICIiAuPHjy+3T2xsLDZt2oS1a9daGxuR3RVdT0Hu70eN2rweGgyv8QOM2pzbN0eT/8zArVc+gzbl7ih32lexVUu2ayARlggCpK7OFtU6lbo6QyIIEEvVLSUiIqoL6kr1LKt+/z5y5AiSkipeZvPWrVtISEiwKiiimpL7579AqWsLJApneIwMM9tX6uIEzzF9jNry9v4LUV/JsrSllCTClihJhK0heLvbtB8REZGjUji7wM+7kUMm2oCVybYlVCoVZDLOUiHHpk3LMrrt0jHAaNnZsly6tTO6Lao10OXkV+mYNZEIO7dvAQiVvLwFKZw7BFh9DCIiIqqcxdnwrVu3jG7n5uaatAHFV3+mpKTg119/RfPmzasfIZEdScokpHq1psL+YpHp9qqOPju3bwFNcoZJHW8j1UyEpQpnKILaQXX8kvnjCFIogtpV+MWCiIiIqs/iZHvIkCGGVYMkEgnWrl1b4XxsURSxaNGi6kdIZEfyFo2Nbqsv3IA2MxeyckaV8w+fNrot9XCDVFm1Gp41lQjL/X0g9HOD+mISdJm50BeoIXV1huDtDuf2LSBVWDadhYiIiKxncbI9fvx4SCQSiKKIH3/8EZ06dULnzp1N+kmlUnh6eiIsLAwDBgwwsycix+ExLAQShTNE1f9fTKjTI3P97/B9egIkUuOrGTUpmcj5Nd6ozWt8f6uWri2dCGszcoH8fEhdXSDzsW0iLFU4Q9G9eOqLKIq1uswuERFRQ2Rxsv3uu+8a/v/IkSOIiIjAjBkz7BIUUU0RPJXwnjgIGet+M7TlHzoBXVYuPMf2hUvXNtDnq5B34ASyf9oPsUyFj0azR1t97JJEWBRFaDIzofT2tmsyzESbiIio5ll1BWNERAQ8PT1tHQtRrWj8zERkbtl7d3QbQOHpqyg8fbXC+7mP7G0YNa4uJsJEVJrmThby9v6Loqu3oVcVQeriBKfWTaAc2BNyf5/aDo+IqsCqZPuzzz7DzJkzbR0LUa1wbtccLb9chGszl1Z80WIp8pb+CIheYOfIiOoGTlGyHfXlW0h5fwNU/543qbGvSryA7B/3Q9GjPTwnD62dAImoyqxKtps1a4bs7Gxbx0JUazxHhaP1+tdxfc670OepKuzrEtQOjedPhODhVkPRETkevUrNi29tLD/hLK5NfRO6rLwK+6mOXUTh+RtwntALuLeGgqN6RZeTD/WlW9DnqyBxkkPerBHkzRvzS7OdWJVsjx49Gtu2bUNubi7c3bkoBtUP7kN6ocVHzyLv4HHk7j4KzY3UuxsFKdxCu8B9WDCcA1vyDYkaNE1Khkk1HX2BGvoCNTTJGVAEteNUhyrS3E7H7afehz7bsrr9okoN3y0JyAnuaOfIqD4pPH8Dub8dQf6R0ya/5Dq1bgr3YcFQ9u8Bicy6BdXIPKuS7aeeegqnT5/GzJkz8cwzz6B79+5o1KiRrWMjqnFSV2d4DAuBx7AQ6LLzocstgEQuQPB2h9RJXtvhEdU6vUpdftlKANDpoTp+CUI/N45wV0HGd7+ZJNoShTPcwrvCKcAPmptpyDt0wugibWmRFq7f/AlMn1jT4VIdI+r1SH7zG6R9+mO5fYqu3kb6l9uR+3sC/F6cUnPBNQBWJds9evQAUDxP76mnniq3n0QiwenTp8vdTuTIBE83CJ6cKkJUmvpiUuXXNuj0UF9MstkFxPWdJiUTqsQLRm2KHu3hOy8CQqk6/t6PDMWdT7dB9fc5Q5vTietQn78B186taypcqmNEUcSt/3yBjK93WNS/6Goykt9eA/chvfgLlY1YlWwHBwfbOg4iIqoDdJm5Nu1HQN5f/xpdDClxdYZv5IMQ3FyM+kldndF4XgSSnvnI6NqSzPW74LrkiZoKl+qYgsOnzSfaghTyJo2gy84zuVZJm5yBpAVRaPP96zUUZf1mVbK9bt06W8dBREQOTtTpoC9Ta748+gI1RJ3OzhHVD0VXbhvdVvbpbpJol5C6OEHZvwdydt5dYEt17JJd46O6SxRFZP980LhRkMJrwgC4Dw+FoFRA1Ouh+vcCMtb+Cu2dLEO33F8Po/D8Dbh0DKjZoOshaW0HQEREdYRYeZdq9W+g9CrjLzDyAL8K+5fdXlkFJWq4ii7dRNFV4y9zjR4bBa+IgYYpShKpFK73BqLJG7MgKXOdRcY3v9RYrPVZtZPtlJQU/PXXX4iNjcXevXuRkpJii7iIiIgaBImLk9Ftza20CvuX3S4tZxScqKDMtQCCryeUg+4x21fm7Q73+4xrSeb8nmC32BoSq6aRAMCNGzfw+uuvIy4uzmRbeHg4Xn/9dbRq1apawREREdV3Tq38UXj87lSQ/IMn4P3wfZCWScIBQF+kQd7+Y0ZtLl3b2D1Gqpt0ZSrcKLq3hURa/jirokd75MQeMtzWpmbaLbaGxKpkOzk5GZMnT0ZaWhratWuH4OBgNG7cGGlpafj7779x6NAhTJ06FZs3b0bTpk1tHTMREVG94T7wHuRsv5vg6PNUSPv0R/g+PQFS57slR/VFWqR/8bNJiUDvqcNqLFaqW8quCSFqK6kkpC1znQXXlLAJq5LtqKgopKWl4e2338ZDDz1ksn3z5s1YvHgxVq5ciSVLllQ7SCIiovpK3swXLt3aovDkZUNbQcIZJD17HcoBPeDUwg+aW3eQt++YyeqSmk7NObJN5RJ8PIxuqxIvQNRoIZGbT//yj541ui1v5mu32BoSq5LtAwcOYMiQIWYTbQB46KGH8Oeff2Lfvn3VCo6IiMhSolaHgoQzyI8/BW1aNqAXIfVwgyKoHZQDexrVrHY0PtOGI/ntb6HPv3uxoz4n3+gn/bL0MinyHxtcE+FRHeUa0hlZm/YYbutzC5D10354TzR93hRdT0He3n+N2jzH9bN7jA2BVcl2eno6OnToUGGfDh06MNkmIiK7E0UROb8dQdaP+8wud1544hKyNu2BclBPeE92zCkXTi390erbV3FtxhLoCwor7S9xkiF9XC9I2/rXQHTkqHT5hcjfl4j8I2egy8iBKIoQPNyg6NkB7kN6wam5L1y6tkHhqSuG+2Rv3QdtahY8R4fDqVUT6HILkLf3X2T9uN94wSpBikYzRtbCo6p/rEq2fXx8cOHChQr7XLx4ET4+XHmI6jaVuhC5Bflwd3WDwplX/BM5GlGvx82FK5G57reK+2m0yP39KNQXb8Ktb3fIvN1rKELLKQf0QNsdy3HjqRVQn71Wbj/njgHwmjYc1wtS4FqD8ZHjEDVaZGzYjdzfDkMs0hpt06Vlo+jyLWT/uA9ufYPgMbK3UbINAPkHjiP/wHFAkJa7Iqz3lGGcRmIjVpX+69evH/78809s3rzZ7PYtW7bgzz//RP/+/a0O7Pjx43j88ccREhKCnj17YuLEidi+fbvV+9NoNBg3bhwCAwMxciS/qVHF4k4mYtrbL6PZhCHoMGU0mk0Ygmlvv4z4U8cqvzMR1ZiUZd9VmmiXVnTlNq7NXAqx7IVgDkLRtQ2aLn4Uzd6di/zgtriq0OGcLgf/ajPwg/o6otsU4tpD98KpDYsPNFR6tQbXZi5FzvaDJom2cUcR+fuPIXPLn/B7aYr5PuUk2s4dA9BsyeM2iJYAK0e258+fj71792Lx4sVYu3YtQkJC0KhRI6SnpyMhIQEXL16Et7c3IiMjrQrq8OHDmD17NuRyOUaPHg13d3fs2rULCxcuxM2bNzF37twq73PVqlW4fv26VfFQw7I6NgYLV74HQRCgF4vfiPSiHjsP70fsob1YEbkIs0dH1HKURKS+ehupH24yaXfu1BJuoV0gcZaj8OQV5B8+BejvrrBTEH8KmZv/hLyxVw1GWzVrjx/Awt9XQhAEaEutxCk7dhar//kT7z+9EIGteGFkQ3TrxZXI3X3U4v6aaynI+/NfNFv+FG69+gWgqfiLZmqAB4JfngZpmQVuyHpWjWw3bdoUGzZsQGhoKC5cuIDvv/8eUVFR+P7773HhwgWEhoZi/fr1VpX902q1eO211yCRSLB+/XosWbIEL730En766Sd06NABUVFRuHr1apX2eerUKXzxxRd4/vnnqxwPNSxxJxOxcOV7EAGjDzj8/20RwAvRyznCTeQAMr75BdCXGpmTSND4mYlouvgxeIzsDffBvdB4/oNo9u5TELyUZe67o4ajtZwl70MLV72P01e5THtDo758C5k//GHS7tq7C3wjI9D4uUlQDu4FyAWj7QVHzkDqpkDK3PvwueoCUvXG1wVoRD1+KbqFR3PjMfz4Rhy5dMauj6OhsXpRm1atWuHbb79FcnIyTp8+jby8PCiVSnTu3LlatbXj4+Nx/fp1REREoEuXLoZ2pVKJp59+GgsWLMDWrVstTpyLiorw8ssvo0ePHpg2bRpLEVKFVm77wWQkqSxBELBy2wYMe3Z2DUZGRKWJej0yvv/dqM19aDDcwrqa9HVq0Rg+j96POx/dnfqoSryIouspcGrpeBcYWvo+9OP+PQh+cFQNRka1LbfMio4SJxn8X5kOl8CWhja30M7wHNsXyUvWQJeRa2jP+OYXROX/i52aK/is8CKaS13hIZFDLepwU6+CCsXPNxk/42zO6mS7RJMmTdCkSRNbxAIAOHLkCIDieeFl9e3b16iPJaKjo3Ht2jX89NNPJsXdKyKKYuWdbKzkmLVxbAIKCgqwI26fYepIebQ6HWIP7UNBQQFc3ZUV9rVEZeddFMUqPSdEUQSq+ByqiWNYE0tV46pL6uLr3arnCar2GC19bmlup0OXnmPUprzv3nKPpbg3EFIPN+hz7lYrUV9NhjzAz6Zxlb1P2Xgq+puIogiVSmXx+1DcqWMoLFTX69dJfVHZebfk/OmLNMg/dNKozWNsXzh3DDC5v8zfG95ThyMtKsbQVnD0LE7mHDV8ibuhLzB7nOp8xjW0zyvAdOEgc6qdbKekpODs2bPIzc2Fu7s7OnXqBH9/60cKSqaImFvq3dPTE97e3rh2rfyrtEs7fvw4Vq9ejQULFqBNm6rNbcvOzq61N6/s7OxaOW5Dl3LrdqUfcCX0oh43btyAfzPbXaRU3nkXtToU5puWMyuPLisLEplQeccaPobF+9bpkJdXvHBHVlYWBME+x3EUden1bs3zBIBdnlua5FSTtiIPF2gqOJa0sadRsl2YkwuJhbHZ+nVVUGCa6OiyspCammrx+5Aoirhz506DeJ3UF+Ze75a+rrS30iFqjC+IFHp3Qn459xU7B0Di6gyxQG1oayt1wxVdntn+pVn7GdfQPq8AwNvbu9I+Vifbly9fxttvv434+HiTbeHh4XjttdfQtm3bKu+35EPW3d18WSalUonk5ORK91NUVIRXXnkFnTt3xqxZs6och6enZ5XvU12iKCI7Oxuenp5VGoUn23ASZJBKpBZ90EklUgQEBNhsZLui8y5qdch1c7N4f+5eXla9edn7GJbS6XRQKov/rl5eXvU2iaiLr3drnicA7PLc0jTVoewngTwjH87lVOkQtTpkpGQatbl4usPNwths9boSRbF4xNDV1eS8u3t5wdnZ2eL3IYlEgsaNG9fr10l9UdHrvezzRF9QCM3NO9CriiBVOEPevDGkrs5QC2USdUEK9+YVD27mNPKEpuDuF1NXiWVpn7WfcaUfiy47H4VnrkKXkw+JVAqhkQcUXdtC4nQ3hrr+eWUpq5LtS5cuYcqUKcjOzkaHDh1w7733wtfXF2lpafjnn39w6NAhTJ48Gd9//z3atWtn65gt8tFHH+HatWuIiYmx6k2oNj/8JBJJnfnwrU9cXV0xOnwAdh7eX+FcSZkgYFRYf7MfltVR7nmXVu35IKli//8/eNWOYcfnaOl9N4TXQp16jFY8T0r/19L7WNJf3rQRZE18oE3OMLTl7U6AyxPjzPbPP3wa+jyVUZtz22YWx2bVeargPub2J5FIqvQ+FNq5O1xcnOvWc6iBM3uu/r+t8PwN5O5KKK6eU7okn1yAW1g3uPbqaHw/nR6am2lwatHY7LH0BWpoktON2gIDA7HzdLL9PuMkEhRduY2cX+KQf/i0SWlBqVIB5aB74HF/GGTe7jZ/XZnvXvuvD6uqkbz33nvIzc3Fu+++i+3bt+ONN95AZGQk3njjDfz888949913kZubi/fff7/K+y4Z0crNzTW7PS8vr9xR7xKnTp3CmjVrMHfuXAQGBlY5Bmq45k14BLoK3oSA4pHXeRMm11BEgEQQIHW1rAST1NUZEo5wUQMgkUjgM3W4UVve3kTk/nHUZApg4YUkZKz91ajNNbQznJqbT1LMH9DqUKvM0veh8f2H1FBEZE/6Ig3SvvgJyW98jfxDJ0xrX2t0yN9/DHc+3gyJ3HiMNGdnXLn7zf3zb+Myf1Iphkc8YLfPOFEUcSd6K27/98viueVmanjr81TIiT2EWy+ugqrMQjv1mVXJdkJCAoYNG4bx48eb3T5+/HgMHTq0ShcylmjdujUAmJ2XnZ2djczMTLPzuUs7d+4cdDodoqKiEBgYaPQPAK5cuYLAwEAEBwdXOT6q38K79cSKyEWQoPjbfWkyQYAEwIrIRQjr2qNG4xIsXO3O0n5E9YHPo6OAMj8Pp3+1A7de+hSZW/Yie/tBJC9bh+TXvzIZ1W70+FiH/RJryfvQ+08vRJfWtfPLMdmOqNPhxuPLkbc30bL+ZeZs5/35L7J/iYNYqgSmKIrIP3IaWZv/NOrrMSIUvcPC7PYZlxa9FclvfQNYcLmbvqAQKcvXF49+NwBWTSORSCSGpLg8bdq0waFDh6q875CQEHz++ec4cOAARo8ebbTt4MGDAIDQ0NAK99G6dWtMnDjR7LYtW7bA3d0dI0aMgEKhqHJ8VP/NHh2Brq3bYeW2DYiN2we9Xg+pVIpRYf0xb8LkGk+0AcC5fQtokjPKXe0LACBI4dwhoOaCIrJEVUeEq9Dfqbkvmrw2A8lvfGPUrkm6g+ykv8q9n/K+e+E1YQAKT12BvtTFY+Wp7pdYbXoOcv/8G6rEi9Bl50EEkNvIE66hnaEc0BOC0vSzqLL3oZBO3XDoVGK14qLal/rRZuTsNL32DYBJ9ZzyZH63Czm/HobrvYGQOMmgOnYJmuspJv0azR4DsUhjl8+4gmMXcfuNr003yAU4t24KvVpjGpNGh+uP/w+d/v6q3i+gY1Wy3bNnT5w8ebLCPidOnECvXr2qvO/w8HAEBAQgNjYWM2bMQOfOnQEUTx9ZtWoVZDIZJkyYYOifkZGBzMxMeHt7w8fHBwDQq1evco+9ZcsW+Pr6YunSpVWOjRqOsK49ENa1B1TqQuQW5MPd1Q0KZ5dai0eqcIYiqB1Uxy+ZT7gFKRRB7SB1car54IgqUDINypKk1poR5MbzJ0KbloO06JjKOwNw6dIaLb9cBIlUavcvsbqcfNxZta14aoDeeLhPnZ4D9fkbyNq0B+4jQuH9kOmUkIrehyqbCkCOT69SI23VNqM2iZMMnhMGwH3IvRDcXaHLyUfu7qPI+ml/hSs/6tKykftb+bMJvKcOg3JAD8PKk7b+jEv7dJtJeT2PsX3hOaYPBHdXAIDmVhoy1v0G1bGLhj7a5Axk/bgfPpOHWn3susCqaSQvvfQSjh07hqioKBQWGq9CVFhYiI8//hgnTpzAiy++WOV9y2QyLFmyBKIoYsqUKfjvf/+L//3vfxg3bhwuXLiAyMhIozJ+69evx6hRo7B+/XprHgpRhRTOLvDzblSriXYJub8PlP2CIG/ua/j5W+rqDHlz3+J2f59ajpDIPHtOg5JIJGi6+FH4Pj0Bsiblvwakbi7wHN8f/i9NhaAs/vAv+RILoZyPwmp8idWmZePy2JeRf+C4SaJdmlikRc72Q0hd8QP0ao3ZPo70PkS2k/Xjfugyja9P81s4GV7j+hsSVMHDDV4RA+H37CSrj+PWpxuaL3/a7DZbPLe06dnI/nG/UZvHmD7wmTzU8DgAQN7MF34LJ8OpXXOjvulfxVp97LrCqpHtr7/+Gp06dcKqVavw3XffoUuXLvDx8UFGRgZOnz6NnJwcBAcH4+uvjX9SkEgkeOeddyrdf1hYGL7//nt88skn2LlzJzQaDdq3b49nn30WDzzwgDUhE9ULUoUzFN2L52mKoljrV1gTWaImpkEp+wXBrU93FJ66jPy4U9CmZwM6PaQeblD0aA+38K6QOslN7if394HQzw3qi0nQZeZCX6CG1NUZgrc7nNu3sOrnbVGrw9Wpb6HwzFWL76M6dhE3F0YjIGpBlY9HdVPOL8YXN7p0awtFN/Mlk117dYRzxwCoz98wtDkHtsSd1FR4ZBaavc8NXQHyw9pjxNMRJhdW2lL+oZMQi0rNJZcJ8BzT12xfiSCF5wN9cefDTYY21T/nocvOg+BpYZlBO05Nsxer/vrbtt392SM7OxtxcaZXwyYkJCAhocyyohYm2wAQFBSE1atXV9pv/vz5mD9/vkX7BIovniSqD5hoU11RU9OgJFIJFN3bGb6QVik+G36JzYrZi4KEM8axyWVwG9ADiqB2KMzLh+7EVRTEnzK+38Y9aDR7TLWOTXVH6bKVAOB6b8dyepZsDzRKtnNU+RhweRu6CZ4Y5tQEflIXSCFBhl6NfZo7iNOmAbv+wq/DQzFseIhdHgNQPLJdmlNLfwgeruX0htnXpzYt2+Jk295T0+zBqmT7jz/+sHUcRERUj9ljBLki1s5FtcWX2PSvdhjdFnzc0eS/j0Lu71O81HR+PtwG3Qv1yN5IeWet0ahgxpqd8BzTp9oxkOMzXaW6as+9W2mpEAQBJ3TZOKEyvxKtTBCwctsGDHt2tpVRVq5sMiuqiyrsr1eZJslVHXkXvN1r5OJmW7Eq2W7evHnlnYiIiEqpiWlQcScTsXLbD9gRtw96UQ+pRIrR4QMQGVEzlYQKz99AwdGzRm0+00aYvabCpWMAPMf2RVbM3copWdv+gvvwELNTXqh+kTfxQemClKrEC/AYUX61tYJ/LxjdPpeVWuHiNACg1ekQG7cPKpXKbhXY5AF+Rrc1N9NQdCMVTmXaS5T9RUcil0HW2KtKx6xrFbqsukCSiIioOuyRaK+OjcH9L87FzsP7Dcud60U9dh7ej5ELn8RXO7ba/Jhlqc8arxEhdXOBa0jncvsrh9xrdFtUFUF7J8seoZGD8RgZZnRbdexiufP8Vccumjy3/iwyLe9njl6vR05OjlUxWsKtTzfI/LyN2jLW/gpRa/pFQJueU1xZpRSPUWFV/mXLnhc320O1ku3t27dj1qxZCA8PR7du3RAWFoZZs2Zh+/bttoqPiIioUnEnE7Fw5XsQAZPRPq1OBxHAC9HLEX/qmF3jKPsTueDjAUl5CQEAmbe7ScIgllOVhOoXr4gBJvOUU97bgOwdcdAXFF/0qMtTIfvnA0j9cKNRP8HXE3u0qRYdRyqVwsPDwzZBm9u/kxw+041Xcy08dQW3/7sa+XEnoctTFVcs2XEIt179HPqcAqO+1l6nUJcqdFk1jUSv1+O5557D77//DlEU4eLiAj8/P2RkZODQoUOIi4vDrl278PHHH0Mq5eA5ERHZ18ptP0AQhAp/VhdqYP6q1MPN6LYmOR16lbrckbuiG6kmP4VLXVniryGQurrAd+44pPzvbulisbAImet3IXPD7xC83aHLyDWpXw0AjZ+agBFbkrHz8P4Kn/MyQcCosP52X8Sv0eMPIP2bndBl3B1BL7qWjDtRFde/d+vbHW59u1t93LpSocuqTHjdunXYtWsXgoODsXHjRiQmJmLPnj1ITEzEpk2bEBISgt27d2PdunW2jpeIiBoo0wvKiqlUKuyI21el+av24npPR6D0IJNGh9w9f5fbP2encTUvma8XZH5edoqOHI3fC4/AfViw6Qa9CF16jtlE22N0OHyfHo95Ex6pdHEjnU6HeRMm2yrccsn9vNF6/WJIXC2fDiJr2ggtv3zJZgmyoybagJXJ9rZt29CmTRt888036NHD+IKToKAgfP3112jTpg22brX//DgiIqq/9Co1VCcuIW9fInJ/O4K8fYlQnbhkNF0jJyfHMEe70v3Zef6qvIkPPO7vbdSWtelP5B8+bfRlQdTrkb3jEPL2Jhr19Z42DBL+ItxgSGQCWn71Ctz6WDa6qxzYEwGfvwiJICC8W0+siFwECYpHsEuTCQIkAFZELqqRC4MBwK13F7T9cRkEX89K+7p0bYOmr8+CzIK+9YFV00iuXLmCqVOnQiYzf3eZTIZBgwZxVUciIrKaJiXDpDa3vkANfYEamuQMKILaQe7vAw8PD0glUosSbnvPXwUA38fHImfH3RFrUaPFnY83Qx7gB0VQOxSpCpF57DJ0ZeoTS+Qy+EwfCfW563aNjxyL1MUJvvMmQDn4HuT+fhQFR88YrzoqSOEW2gXuw4Lh0qmVUaWa2aMj0LV1O6zctgGxcfug1+shlUoxKqw/5k2omQo8pbn27IAWKyKRn3AGub8fNX4uywS4hXSG+7BgOAe2dOiRaFuzKtmWy+WV/gynUqkgl7N0ERERVZ1epS5/ERwA0OmhOn4JQj83KBQKjA4f4DDzV5UDesJ72nBkfrfLqF1zIxWaG+Vf1Ob/2kw4Bfgx2W6AJBIJFF3bIFHMxjeZf+PyvyeggBQqUY8293bH7CHtEdapldn7hnXtgbCuPayuLW9rErkMyj7dccJDhy9jziE+4Qg0ej2yoMGIrDxE6tojTGL+sdRXVv1W1blzZ+zcuRMpKebLzqSmpmLnzp3o0qVLtYIjIqKGSX0xqeIaugCg0xf3Axxq/ioAtFgRCc+IgRb394wYCN+54+wYETm6ktKVMX/vR4ImHfs0d5CgTcfWo5aVrlQ4u8DPu1GtJtolSh7LTwn7cVNXgFSxEEWirkbLcDoSq5LtWbNmISsrCw8++CC+/vprnDhxArdv38aJEyfw1VdfISIiAtnZ2XjsscdsHS8RETUAuszcKvVztPmrErkMAaueR6PZoyHz9y63n1ObpvB7/mF4TxzUoH5WJ2OOUrrSFurTY7EVq6aRDB48GK+88gree+89vPfee0bbRFGETCbDSy+9hMGDB9skSCIiajhEnc6ipZiB4jnc4v9/oDva/FWJVAr3+4KhHHwvCk9cQkHiBeiy86HT6+Dc2BtuvbvCuT1XZCbHKV1pC/XpsdiKVck2AMycORNDhgzBzz//jLNnzyIvLw9KpRKdO3fG2LFjERDgGEtkEhFRHWO+wp9F/R1t/ioASKQSKHq0h6JHe4iiiPz8fLi5uXEkmwDcLV1Z2QW+NbH0enVZ81hc3ZUV9q0PrEq2f/zxRzRq1Aj9+/fHvHnzbB0TERFRtSicXWo9ySayhDWlKx012bbmsTSEZNuqOduvvvoqDhw4YOtYiIiIiBqUktKVlqiJ0pXVUZ8eiy1ZlWw3btwYGo3G1rEQERERNSglpSvLXthblkwQMCZ8gMOOagP167HYklXJ9tChQ3Hw4EEUFRXZOh4iIiKiBsXRSldWR316LLZiVbL97LPPws3NDfPmzcOFCxdsHRMREVG9pFIX4k5WJlTqwtoOhRyIo5WurI769FhsxaoLJMePH4+ioiKcOXMGBw4cgLOzM3x8fEyurJZIJNi9e7dNAiUiIqqr4k4mYuW2HwyVGqQSKUaHD0BkRM2XJCTH5GilK6ujPj0WW7Aq2RZFEXK5HE2bNjVpr+g2ERFRQ7M6NgYLV74HQRAMlRr0oh47D+9H7KG9WBG5CLNHR9RylOQIHLF0pbXq02OpLquS7T179tg6DiIiqmP0KjU0KZkQizSQurlA3qQRJIJVsxPrrcpW0wOKV9Pr2rodhg0NroUIyRHVp9KV9emxWMvqRW2IiKjhEUUR6rPXkfN7AgoSzgC6uzV1pR6ucB/UC+733QtZY6/aC9KBcDU9Iqp2sq3VanH16lXk5ubC3d0drVu3hkzGHJ6oTqnqQnZc+K5B0ucX4s5Hm1CQcNb89pwCZP98ANk7DsFn2nC4N/CR2vq0MiARWc/qrDgjIwMffPABduzYgcLCu1dVu7i4YMyYMViwYAF8fHxsEiQR2ZdEECB1dYa+QF1pX6mrMySV1FCl+kevUuPKI6+Xm2gb0emR8e2vkLfwg/8Lj9g/OAdVn1YGJCLrWZVsp6SkYPLkybh16xZ8fHwQHBwMX19fpKWl4dSpU9i8eTMOHjyIDRs2wN/f39YxE5EdCN7uFiXbgrd7DURDjubWq1+g4PBps9skTjKIRVqT9pSla+HaswPc77vX3uE5pJLV9CxJuBvSanpEDY1Vyfby5ctx69YtzJ8/H3PmzIGzs7Nhm1qtxpdffono6Gi89957eP/9920WLBHZj3P7FtAkZxjNwTUhSOHcIaDmgiKHoLmdjozvdhm1SRTO8IoYAOXAeyAoFShKuoOcXw4hb2+iUb/UDzc22GS7ZDW9nYf3VzhnWyYIGBXWn6PaRPWUVZeNHzhwAP3798e8efOMEm0AcHZ2RmRkJPr27Yv9+/fbJEgisj+pwhmKoHZAedUkBCkUQe0gdXGq2cCo1mWs/RXQlkoWBSmavv4YPEf3gaAsThCdWjSG7xPj4DVpiNF98w+dhOr0lZoM16FwNT0isirZLioqQpcuXSrs061bNy7nTlTHyP19oOwXBHlzX0hdi79IS12dIW/uW9zuz+swGqLs2ENGt5UDesCppfkpgp5j+kDq6WbUlrP9kNm+DQFX0yMiq6aRdOvWDVeuVDxScfnyZXTr1s2qoIio9kgVzlB0bweguMxb2ZVhqeHR3Eozuu0a3LncvhKZANd7OhhNJ9HcTrdXaHWC0Wp6h+6uINlQV9MjamisSrafffZZPPbYY9i6dSsiIkxXvdqyZQv++usvfP3119UOkIhqDxNtAgCUWQ1YIqv4R9Gy1WpEvWUVOeqzktX0CgpVSElLg7+vL1xdOEebahBLvNYaq5Lt+Ph49O7dG6+++ipWr16NXr16oVGjRkhPT8c///yDK1euoG/fvoiPj0d8fLzhfhKJBPPmzbNZ8EREZH+yxt7QZeUZbqsSLxp+/ShL1OuhOn7JqE3u723X+OoShbMLGnt5l7+iHhMcshOWeK09ViXb0dHRhv+/fPkyLl++bNLnwIEDOHDggFEbk20iorrHfUQo1BduGG7n7vkbHveHQebradI3769EaO9kGd9/WKi9Q6w3qpQQOTsxIaIqYYnX2mFVsr127Vpbx0FERA6q0WOjkBYdY7gtqjW4/ebX8Jk2Aq7BnSARpNDlFiB31xFk/WhchcolqB1cQzrVdMh1mqUJkdSd01CoaljitXZYlWyHhnKUgoiooXBu0xSeD/RD9s93f63UpefgzsebIXF1hszLHZrkdEAvmtzXb/5Ezv2vIksTInkLv5oLiuqFkhKvquOXzD+/WOLVLqwq/UdERA1L8w/nw7mj6WiXWKAurlZiJtH2eWwUPCMG1ER49YrFNe+d5DUbGNULLPFa86wa2SYiooZF5u2ONluX4vK4V1B06Wal/T1Gh6PZsic5qm0lub8PhH5uUF9Mgi4zF/oCNaSuzhC83eHcvgVEJxlwvrajpLqKJV5rFpNtIiKyiNzPG01ffwz5cSeR+/tRqC8mGXcQpHDr3RXuI0Lh0qEFJFL+eFodFSVEla1KSY5HFE1//XEETLTtj8k2ERFZTCIToOzfA8r+PaC5lQbN7XTo1RoIbi5watsMgrtrbYdYLzEhqpv0KjXUF5OgzchF4Z105DVuBJlP8a8TUoVzbYdHNYTJNhERWUXezBfyZr61HQaRQ9KkZBguRCwZ1dYXFEKjUkOTnAFFUDvOj24g+BsfERERkQ3pVeryK34AgK548Se9qvISj1T3MdkmIiIisiH1xaSKSzcCgE5vet2Dpbj0ep3CZJuIiIjIhnSZuTbtV1bJSqOW4NLrtY/JNhEREZGNiDqdRSuAAoC+QA3Rysoyli6pzqXXax+TbSIiIiJbqWqFPysrAjq3b1H+wkcluPS6Q2CyTURERFTHWLzSKJder3Us/UdERERUB1W20ihreTsGJttEROSQRFGE+ux1qK/cglhYBImzE5xa+cOlS2vj1SlZmYEaMC697viYbBOV4Ac2kUPQqzXI+e0wcnYlQHs73WS7rLEX3IcGw314KKTOckNlBksuSmNlBqrPmGg7JibbRP+PH9hEtU+bno0rj7wB1d/nyu9zJwuZG3Yj7+AJ+C+aAqC44oIlr11WZiCHw4Geeo8XSBKVwlJKRFWjUhciNTMdKnVhtfely1PhysT/Vphol6a5noLkpWuhzcxlZQaqs1gzu/5jsk1UCj+wiSwTdzIR095+Gc0mDEGHKaPRbMIQTHv7ZcSfOmb1PlPeWQfVsYsm7TJ/byjuDYSsaSOTbdrb6Uh+/StWZqA6rd4M9HCU3ixOIyEqpeQDW3X8kvmldvmBTYTVsTFYuPI9CIIAvVj8OtGLeuw8vB+xh/ZiReQizB4dUaV96nILkPHdb0ZtQiMP+D7+AFy6t4VEIjFcMJn2xc/QpmQY+mXF/IUmb8xiZQaqs5zbt4AmOaPiJd7rwEAPp2Oax5FtojLk/j5Q9guCvLmv4ac9qasz5M19i9v9fWo5QqLaE3cyEQtXvgcRgLbMyndanQ4igBeil1d5hDtry5/Q56nuNkgk8F80FYqgdoaLviQSCVw6t4L/K9MA2d0PaVGjReb6XQDuVmZQDugJ9xGhUA7oCUX3dky0yaHVp19m6s0ovQ0x2SYygx/YROat3PYDhEpGowRBwMptG6q037y/jJNzRa+OcArwM9tX7ucNt/BuxvffZ5rcszID1SX1ZaCH0zFNcRoJUSX4gU1UTKVSYUfcPsPUkfJodTrExu2DSqWCq7vSon1rM3KMbrt0alVhf5fOrZC//26CrU3PqaA3Ud1QH2pmczqmKSbbRERkkZycnEoT7RJ6vR45OTkWJ9sSufHHkT5fVU7P/9+eZ7xd4sSPM6pf6mKiXYLXTxjjuxMREVnEw8MDUonUooRbKpXCw8PD4n07tW5idDs/7iS8Jg6GRGqacIiiiPxDJ43v36qJST8iqj31YZTeVjhnm4iILKJQKDA6fABklczZlgkCxoQPgEKhsHjf3hMHGd3WpmQie/sBs33z9vyNoqu3je//0GCLj0VENashJ9oAR7aJiKgK5k14BLGH9lbYR6fTYd6EyVXar2tYV7h0boXCM9cMbVkb90B9Pgnuw4LhFOAPza005O75GwWHTxvdV96iMdyHBVfpeERENYXJNhERWSy8W0+siFyEF6KXQxAEo/J/MkGATqfDishFCOvao0r7lUgk8H9tJq5NfcuoXfXveaj+PV/hff1fmuaY9Xq5wAcRgdNIiIioimaPjsCv73+OUWH9IZUWf4xIpVKMCuuPX9//vMoL2pTwvD8MTd54rGr3eaAfvB8eYtXx7I3LcBMRwJFtIiKyQljXHgjr2gMqdSFyC/Lh7uoGhbNLtffr98xDELw9cOulTyEWFpXbTyKXwXvyULiPCK32Me1J8Ha3aDW9hrTAB1FDw2SbiIispnB2sUmSXZrP5KEQ3FyQt/8Ycvf8A82NVMM2eTNfKAfdA+XAnhDcXW16XHuoL8twE5H1mGwTEZHDkbq6wGNEb3iM6A1Rq4O+sAhSFydIZHVrqgUX+CAiJttEROTQJDIBgtLyMoKOpvQCH9qMXCA/H1JXF8h8GuYCH0QNjcMm28ePH0dUVBQSExOh0WjQvn17zJw5E2PHjrXo/kePHsXu3btx5MgR3Lx5EwUFBWjevDnuu+8+PPnkk1VabIGIiKg6Shb4EEURmsxMKL29G3ztYaKGwiGT7cOHD2P27NmQy+UYPXo03N3dsWvXLixcuBA3b97E3LlzK93Hs88+i8zMTNx7770YN24cJBIJjhw5gtWrV2PXrl344Ycf0KhRoxp4NERERHcxySZqWBwu2dZqtXjttdcgkUiwfv16dOnSBQAwb948PPLII4iKisLIkSPRunXrCvczc+ZMjB8/Hn5+foY2URTx5ptvYsOGDYiOjsbrr79uz4dCRERERA2cw9XZjo+Px/Xr1zFmzBhDog0ASqUSTz/9NLRaLbZu3Vrpfp544gmjRBsoHk14+umnAQAJCQm2DZyIiIioDH2RFtrMXOhz8iFWVJWG6i2HG9k+cuQIAKBfv34m2/r27WvUxxoyWfFDFrh4ABEREdmBqNOj4O9zyP09AYWnrwKiCADIdJLBNaQz3IeFwLlDC04paiAcLtm+evUqAKBVq1Ym2zw9PeHt7Y1r165Zvf+YmBgAdxP38oj//8KoSSXHrI1jU+3heTcmiqLR36S+/l3q4nmv6vkQRdGQZDjicWqDrc57Q3md1EWqk5dx88WV0CZnmGwTi7TIP3gC+QdPwKVbW/hGRtSp5y+ZsuQLk8Ml23l5eQAAd3fzq2kplUokJydbte8zZ85g5cqVaNSoEebMmVNh3+zs7Fp788rOzq6V41Lt4nkvptPpDO8DWVlZ9f5XqLp03kWtDoX5+Rb312VlWVUXu6aOU5uqe94b2uukrig6fhmp05ZCzC+stG/hycu4/cbX0PVoA5mfl/2DI7vw9vautI/DJdv2cuPGDTz55JPQ6XT44IMP4OPjU2F/T0/PGorsLlEUkZ2dDU9PT/601IDwvBvT6XRQKpUAAC8vr3qbRNTF8y5qdch1c7O4v7uXl9XJdk0cpzbY6rw3lNdJXaLNzMWFuR9YlGiX0CVnIGfhZ2jz07I68z5AVedwyXbJm0dubq7Z7Xl5eeWOepfn5s2bmDlzJjIyMhAVFYWwsLBK71ObT3qJRMIXXQPE816s9N+hIfxN6tRjrGKsVj+2mjpOLapuzA3tdVIXZHy9A9qUTKM2eXNfeI7tB5fubZGfnQPx+BXkxB6CPk9l6JN/8AQKDp6Asn+Pmg6ZaojDVSMpKelnbl52dnY2MjMzzc7nLk9SUhKmT5+O1NRUfPTRRxg8eLCtQiUiIiKCqNUhY81OozbnjgFouvRJKAf0gOClhODrCc+xfdFs2ZOQehj/cpO+OrYmw6Ua5nDJdkhICADgwIEDJtsOHjwIAAgNDbVoX0lJSZgxYwZSU1Px4YcfYujQobYLlIiIiAhA/uHT0NxKM2rzmTESUifTCQSyRp7wGt/fqC17Zzz0BZZPP6G6xeGS7fDwcAQEBCA2NhZnzpwxtOfl5WHVqlWQyWSYMGGCoT0jIwOXLl1CRobxVb8liXZKSgo++OADDBs2rMYeAxERETUcRddTjG7L/L3h3LZZuf3d+nQ3btDqoDFTvYTqB4ebsy2TybBkyRLMmTMHU6ZMwZgxY6BUKrFr1y4kJSXhueeeQ5s2bQz9169fj+joaERGRmL+/PmG9hkzZuDmzZvo2bMnzp07h3Pnzpkcq3R/IiIiImuIGq3RbanCpcL+UlfnSvdB9YfDJdsAEBYWhu+//x6ffPIJdu7cCY1Gg/bt2+PZZ5/FAw88YNE+bt68CQBITExEYmKi2T5MtomIiKi6ZL7GFcyKbqRAl50PwdN8VR3ViUum+2hU81XQqGY4ZLINAEFBQVi9enWl/ebPn282aTY3kk1ERERka25hXSFxlkNUa4obdHpkxx6Ez9ThJn1FvR7ZPx80anPp1tYkYaf6w+HmbBMRERHVJTIfD3hNGGDUlrMjDpk//AFdqTJ/mtRM3Pl4M9Tnrhv1bTRrdI3ESbXDYUe2iYjIwVS1lLMNSz+r1IXILciHu6sbFM4Vz4clqg2+c8cjc+Meo6XXs38+gJyd8XBq1wy6wiJoryUDZRanlvl6wWvioJoNlmoUk20iIrKIRBAgdXWGvkBdaV+pqzMkNljVMO5kIlZu+wE74vZBL+ohlUgxOnwAIiMmI6wrFwEhx6EIaocmrz+G5De+NmoXNVqoz143fydBioAvXoSgVNRAhFRbOI2EiIgsJnhbtoKvpf0qsjo2Bve/OBc7D++HXtQDAPSiHjsP78fIhU/iqx1bq30MIltqPP9BNHltpkV9JS5O8Fs4Gcp+QXaOimobR7aJiMhizu1bFNcD1unL7yRI4dwhoFrHiTuZiIUr34MIQKvTGW0ruf1C9HJ0bd0Ow4YGV+tYRLYikUjQ+JmJkDjJkP1LPAoSzpi8ViQKZygH9IDnqHDIGnvVTqBUo5hsExGRxaQKZyiC2kF1/JL5hFuQQhHUDlIXp2odZ+W2HyAIgkmibXQoQcDKbRsw7NnZ1ToWka05t28Bv2cmQpuZi8JTV6DLzkORVgvXpo1t8vqguoXJNhERVYnc3wdCPzeoLyZBl5kLfYEaUldnCN7ucG7fAlKF6YIdVaFSqQxztCui1ekQG7cPKpUKru7Kah2TyB5k3u5Q9guCKIrIz8+Hq5sbJBIbXjlMdQKTbSIiqjKpwhmK7u0AAKIo2jSByMnJqTTRLqHX65GTk8Nkm4gcFi+QJCKiarH1SJ2HhwekEss+nqRSKTw8PGx6fCIiW2KyTUREDkWhUGB0+ADIKikdKBMEjAkfAIWCZdOIyHEx2SYiIoczb8Ij0FVwcSQA6HQ6zJswuYYiIiKyDuds24BOp4NGo6n2fkRRRFFREQoLC3kBRQPiaOddLpdDsMFiJETVEd6tJ1ZELsIL0ctNqpLIBAE6nQ4rIhdxYRsicnhMtqtBFEUkJycjKyvLZvvU6/XIyMiw2f6obnC08+7l5YUmTZo4RPJPDdfs0RHo2rodVm7bgNi4fdDr9ZBKpRgV1h/zJnAFSSKqG5hsV0NJou3n5wdXV9dqJyaiKEKn00EQBCY5DYgjnXdRFFFQUIDU1FQAQNOmTWs1HqKwrj0Q1rUHVOpC5Bbkw93VDQpnl9oOi4jIYky2raTT6QyJdqNGjWyyT0dKuqjmONp5L7nYLDU1FX5+fpxSQg5B4ezCJJuI6iReIGmlkjnarq6utRwJke2VPK9tcS0CERFRQ8Zku5ocYSSSyNb4vCYiIrINJttERERERHbCZJuIiIiIyE6YbFO5zp49i//85z8YOnQogoKCEBQUhOHDh2Px4sU4ceKEUd+oqCgEBgZadZzp06djzJgxtgjZaJ/Tp0+3qF9gYCDuu+8+iKJosj0hIQGBgYEIDAzE1q1bbRojERER1X+sRkJm/fDDD3j77bfRpk0bzJgxAx06dAAAXL58GbGxsZg4cSJ+//13tGzZspYjrT43NzckJSUhPj4e4eHhRttiYmKgVCqRl5dXS9EREVFdp1IX4k5WJqQyAa4uitoOh2oYk20y8ffff+PNN9/EwIED8cknn8DJycmwLTw8HFOnTsXOnTvh7Oxci1HaTrNmzeDm5oYtW7YYJdt5eXn49ddfMXbsWGzatKkWIyQioroo7mQiVm77ATvi9kEv6iGVSDE6fAAiI7goU0PCZNsO8vPzy90mCAJcXFzM9i1bb1kqlRpqHle237J9CwoKrC5L+Pnnn0MQBLz11ltGiXZp999/f6X70ev1+OqrrxATE4OkpCS4u7ujf//+eP7559GkSROT/kePHsXy5ctx9uxZeHp64sEHH8T8+fON6jxHR0fjr7/+wrVr16DVatGqVStMmTIFEydOrFYFjQcffBBLlixBTk4OPDw8AAC//PILAGDUqFFmk+2rV68iKioKhw4dQm5uLgICAjBt2jRMnTrV0EetVuPDDz9EXFwckpKSIAgC2rRpg8cffxxDhw412l+nTp0wdepUBAUF4fPPP8etW7fQqlUrLFiwAIMHD7b6sRERUc1bHRuDhSvfgyAI0It6AIBe1GPn4f2IPbQXKyIXYfboiFqOkmoCk207UCqV5W4bNWoUduzYYbjt5+eHgoICs30HDhyIvXv3Gm63bt0aaWlpZvsGBwcjISHBcLtLly64evVq1QJH8WI9hw8fRrdu3eDn51fl+5f2xhtvYOPGjZg2bRoGDRqEmzdv4uOPP8aRI0ewdetW+Pj4GPreuXMHCxYswBNPPIFnnnkGe/fuxaeffoqcnBwsXrzY0O/mzZt4+OGH0axZMwBAYmIilixZgpSUFERGRlod66hRo7Bs2TLExsZiypQpAIAtW7ZgxIgRZs/nxYsX8cgjj6Bp06Z46aWX0LhxYxw4cABLlixBZmamIZaioiJkZ2dj1qxZ8Pf3h0ajwaFDhzB//nwsW7YM48ePN9rv3r17ceLECTzzzDNwdXXF6tWrERkZiV9//RUBAQFWPz4iIqo5cScTsXDlexABaHU6o20lt1+IXo6urdth2NDgWoiQahKTbTKSmZmJwsJCQzJbmk6nM7qIsKIVDy9duoSNGzdiypQp+O9//2to79KlCx566CF8++23WLBggaE9KysLq1atwn333QcA6NevH9RqNTZs2IA5c+YY4lm2bJnhPnq9HqGhoRBFEWvXrsW8efOsHt1WKpUYMWIEYmJiMGXKFFy8eBHHjh3DwoULzfZftmwZ3NzcsGHDBkMy3rdvXxQVFeGLL77A9OnT4enpCXd3d6OYdTodwsPDkZOTg2+//dYk2Var1fjmm28M++zatSv69++PnTt34oknnrDqsRERUc1aue0HCIJgkmiXJggCVm7bgGHPzq7ByKg2MNm2g4oupiu79HVqaqrh/81NIymtopHqsn1Pnz5dhYgtExERgbNnzxpuL1q0CLNnm3+TOHz4MABgwoQJRu1BQUFo164d4uLijJJtNzc3Q6JdYsyYMdi0aRMSEhIwbtw4AEBcXBw+//xznDhxwuTvnJ6eDl9fX6sf34MPPohp06bh3Llz2LZtG1q2bImQkBCcPHnSqJ9arUZ8fDwmT54MFxcXaLVaw7YBAwbgu+++Q2JiIgYOHAgA2LlzJ7799lucO3fO6FcMc3Pee/fubTSS7uvri0aNGuHmzZtWPy4iIqo5KpXKMEe7IlqdDrFx+6BSqeDqXv4v4lT3Mdm2Azc3N6v6lk22q7Nfa+dre3t7w8XFBbdu3TLZtmLFCqhUKty5cwdPPfVUhfvJysoCALNTUfz8/Ez2by5JLmkr2dfx48cxe/ZshIaG4u2330aTJk0gl8uxe/dufPbZZygsLLTkIZYrJCQErVu3xsaNG7Fz507MnDnT7HnIysqCVqvFunXrsG7dOrP7yszMBADs2rULzz33HEaOHIk5c+bA19cXgiBgw4YNiImJMbmfl5eXSZuTkxPUanW1HhsREdWMnJycShPtEnq9Hjk5OUy26zkm22REEASEhYXh4MGDSE1NNUqW27dvDwBISkqqdD8lSWNqaqrJxZCpqanw9vY2ajM3F72krWRfO3bsgEwmw+eff240Krx79+7KH5iFIiIi8NFHH0EikZiMypfw8PCAIAgYN26cYX53WS1atAAA/Pzzz2jRooVhnyW+/fZbm8VMRESOw8PDA1KJ1KKEWyqVGi7Kp/qLi9qQiSeeeAI6nQ6vv/46NBqNVfsICwsDUJxslnb8+HFcunTJsL1Efn4+/vjjD6O22NhYSKVShISEAAAkEgkEQTCaMlNYWGhyjOoYP348Bg8ejNmzZ8Pf399sH4VCgd69e+P06dMIDAxE9+7dTf6VfJmQSCSQy+VGifadO3dMHisREdUPCoUCo8MHQFZm2mhZMkHAmPABRpXEqH7iyDaZuPfee7F48WIsWbIEERERmDRpEtq3bw+pVIo7d+5g165dACquutK2bVs8/PDD+O677yCVSjFgwABDNZKmTZvi0UcfNerv5eWFN954A7dv30br1q3x119/YdOmTZg8ebLh4siBAwfim2++wQsvvICHH34YWVlZ+Oqrr8otT2gNf39/rFq1qtJ+r776KqZMmYKpU6di8uTJaN68OfLz83H9+nXs2bMHa9euBQAMGjQIu3btwhtvvIERI0YgOTkZq1atgp+fn1XVYoiIyPHNm/AIYg/trbCPTqfDvAmTayYgqlVMtsmsyZMn45577sG3336LNWvWIDU1FRKJBE2aNME999yDNWvWmKy2WNYbb7yBgIAAbNmyBd9//z2USiX69++PF154wWQaSePGjbF48WL873//w/nz5+Hp6Ym5c+di/vz5hj7h4eF455138OWXX2Lu3Lnw9/fHpEmT4OPjg1dffdUuf4fytG/fHlu3bsWqVavw0UcfISMjA+7u7mjVqpXhwkig+KLL9PR0/PDDD4iJiUFAQACeeOIJJCcnIzo6ukZjJqozqlpUyPoS+0R2Ed6tJ1ZELsIL0ctNqpLIBAE6nQ4rIhdxYZsGQiKWruVGFissLMSVK1fQpk0bo0VqqqOyCySpfnLE826P57eldDod9u/fDwDo37+/SQWf+kIURWRlZcHLy8thzrsjyduXCH1B5RcGS12doRzQ0/4B2YitzntDeZ3URaJWh9zdRwEA8aeOYeW2DYg9dHcFyTF9BmDehLsrSLoPDYZExvNXn3Fkm4iIHI7g7W5Rsi14u9dANETWCevaA2Fde6CgUIWUtDT4+/rC1YVztBsaXiBJREQOx7l9C0Co5CNKkMK5A1dWJcencHZBYy9vKJxr9pdCcgxMtomIyOFIFc5QBLUrP+EWpFAEtYPUxXYXSBMR2QOnkRARkUOS+/tA6OcG9cUk6DJzoS9QQ+rqDMHbHc7tW0CqMF2FlYjI0TDZJiIihyVVOEPRvR2A4osLeTEpEdU1nEZCRER1AhNtIqqLmGwTERER2QrrxFMZTLaJiIiIbEQiCJC6WnY9gdTVGRLWSK/3mGwTERER2ZCl9d9ZJ75hYLJNREREZEOsE0+lMdkmE1u3bkVgYKDhX5cuXTBgwAC88sorSElJsfnxVCoVoqKicPjwYZvvGwAOHz6MwMBAu+3f3LECAwOxdetWs31mzJiBwMBADBkyxO7xEBFRzWOdeCqNyTaVa9myZdi4cSO+/vprTJo0CbGxsZgyZQoKCgpsehyVSoXo6GgcOXLEpvst0bVrV2zcuBFdu3a1y/7NcXNzw5YtW0zab9y4gSNHjkCpVNZYLEREVPPk/j5Q9guCvLkvpK7FK0dKXV0gb+5b3O7vU8sRUk1hnW0qV4cOHdC9e3cAQFhYGHQ6HVatWoXdu3fjgQceqOXoKqfRaCCRSKBUKtGzZ0+b7VelUkGhUFTYZ9SoUdi8eTOuXr2K1q1bG9pjYmLg7++Pjh074tKlSzaLiYiIHE9JnXhRFKHJzITS25slLBsgjmyTxUoS1lu3bgEA1Go1VqxYgSFDhqBbt27o378/3nzzTeTk5BjdLy4uDtOnT0fv3r0RFBSEQYMGYf78+VCpVEhKSkJ4eDgAIDo62jAF4+WXXzbc/+rVq3jhhRcQHh6Obt264f7778f69euNjlEyfePHH3/Eu+++i/79+6N79+64du1audNI/vjjDzz88MPo0aMH7rnnHjz22GP4999/jfpERUUhMDAQp06dwjPPPIOQkBAMGzas0r9Vnz590LRpU8TExBja9Ho9fvzxR4wfPx5SqelLTxRFrF+/HuPGjUNQUBBCQkLwzDPP4MaNG0b9Dh48iKeeegoDBgxA9+7dMWzYMCxevBgZGRlmY79w4QKef/553HvvvejTpw9eeeUV5ObmVvoYiIjIdphkN1wc2bYDfX5h+RsFqdEcrdJ9RVGEXqeDRBCKX5RSidFyxBXut2zfgkLDz1a2cu3aNQCAj48PRFHE008/jfj4eDzxxBMIDg7GuXPnEBUVhcTERGzcuBFOTk5ISkrCk08+ieDgYCxduhQeHh5ISUnB/v37odFo4Ofnh9WrV2POnDmYOHEiHnroIcMxAODixYt45JFH0LRpU7z00kto3LgxDhw4gCVLliAzMxORkZFGMX7wwQfo2bMn3nzzTUilUjRq1AhpaWkmj2X79u1YuHAh+vXrhxUrVqCoqAirV6/G9OnTsWbNGgQHBxv1nz9/PkaNGoVHHnnEomk0UqkUEyZMwJYtW/Dcc89BEAQcOHAAycnJePDBB7F06VKT+yxevBg//vgjpk+fjoULFyI7OxsrV67EI488gp9++gm+vr4AgOvXr+Oee+7BQw89BHd3d9y8eRPffPMNpkyZgu3bt0Mul5uNfeLEiTh//jxWrFgBoHiaEBEREdkXk207OBkQUe4292EhaLPxTcPtU4GTIRaozfZ169sd7bb/z3D7TM9HoUvPMdtXcU8HdPjjY8Ptc+Fz0fnYmipGbkyv10Or1UKtViMhIQGffvop3NzcMGTIEBw4cAAHDhzAiy++iDlz5gAA+vbtiyZNmmDBggX48ccfMWnSJJw6dQpqtRqLFi1Cp06dDPseO3as4f9L5lI3adLEZLrHsmXL4Obmhg0bNhjmOfft2xdFRUX44osvMH36dHh6ehr6t2zZEp988kmlj2v58uXo2LEjvvzyS8Mo88CBAzFs2DC8//77+OGHH4zuM378eDzzzDNV+vtFRETg008/xf79+zFo0CDExMQgJCQELVu2NOl77NgxbN68GS+//DIee+wxQ3twcDBGjBiBb775Bi+++CIAYPLkyYbtoijinnvuQWhoKAYPHox9+/bhvvvuM9r3xIkTDeeoT58+uHbtGmJiYvDOO+9wpIWIiMjOOI2EyjVp0iR07doVvXr1wpNPPglfX198+eWX8PX1RXx8PIDihLK0+++/H66uroiLiwMAdO7cGXK5HP/973+xbds2kykRFVGr1YiPj8ewYcPg4uICrVZr+DdgwACo1WokJiYa3Wf48OGV7vfKlStITU3FuHHjjKZzuLm5Yfjw4Th27BhUKlWV91tWQEAAQkNDERMTg8zMTPzxxx948MEHzfbdu3cvJBIJHnjgAaPH6evri06dOhldPJqeno7Fixdj4MCB6NKlC7p27YrBgwcDgNl54GWrngQGBkKtViM9Pb3Kj4mIiIiqhiPbdtDthvmSbwBMygB1PbfB8P+iKEKn00EoNY2ktM6Ja8rfb5m+gXGfWRxvef73v/+hXbt2kMlkaNSoEfz8/AzbsrKyIJPJDNM9SkgkEvj6+iIrKwtA8UjzmjVrsHr1arz11lsoKChAQEAApk+fjpkzZ1Z4/KysLGi1Wqxbtw7r1q0z2yczM9PoduPGjSt9XCX3MdfXz88Per0eOTk5RhdBln7sVTFx4kT85z//wZo1a+Di4oKRI0ea7Zeeng5RFNGnTx+z2wMCimux6vV6zJo1C6mpqXj66afRsWNHKBQKiKKISZMmQa02/ZXEy8vL6LaTU/E0psLCCqYlERERkU0w2bYDqZvlc6VL9xVFEaJOB2lJsl2d/dpgvna7du0M1UjK8vLyglarRUZGhlHCLYoi0tLSjO4XHByM4OBg6HQ6nDx5EuvWrcM777wDX19fjB49utzje3h4QBAEjBs3DlOmTDHbp0WLFka3LZkW4e3tDQC4c+eOybbU1FRIpVJ4eHhUuh9LDB8+HG+99Ra++OILPPTQQ3BxMX9evP//CvX169cbkuHSStrOnz+Ps2fP4t1338WECRMM20vm0xMREZFj4TQSskpJBZGff/7ZqP23335DQUGBYXtpgiCgR48eeP311wEAp06dAlD+SKtCoUDv3r1x+vRpBAYGonv37ib/ShLnqmjTpg38/f0RGxsLURQN7QUFBdi1axd69uxZaWk/S7m4uGDevHkYPHhwuV8YgOL54qIoIiUlxezjDAwMBHD3y0TZhLzsHHMiIiJyDBzZJqv07dsX/fr1w/vvv4+8vDz06tUL586dwyeffIIuXbpg3LhxAIANGzYgPj4egwYNQtOmTaFWqw3l8EqmTCiVSjRv3hx//PEHwsPD4enpCW9vb7Ro0QKvvvoqpkyZgqlTp2Ly5Mlo3rw58vPzcf36dezZswdr166tcuxSqRQvvvgiFi5ciCeffBIPP/wwioqK8NVXXyEnJwcvvPCC7f5QAB577DGjix7N6dWrFyZNmoT//Oc/OHnyJEJCQqBQKHDnzh38/fff6NixI6ZMmYK2bduiZcuWWLFiBURRhKenJ/78808cPHjQpjETERGRbTDZJqtIJBKsWrUKUVFR2Lp1Kz777DN4eXlh3LhxeP755w0jr507d8bBgwcRFRWFO3fuwNXVFR07dsSnn36Kfv36Gfa3dOlSLF++HE899RSKioowYcIEvPvuu2jfvj22bt2KVatW4aOPPkJGRgbc3d3RqlUrDBw40Or4x44dC4VCgS+++AILFiwwjLqvXbsWvXr1qvbfxxpvvfUWevbsiY0bN2LDhg3Q6/Xw8/NDr169EBQUBACQy+X47LPPsHTpUixevBgymQzh4eFYs2YNBg0aVCtxExERUfkkYunf0clihYWFuHLlCtq0aVPuPNyqMrlAkhoERzzv9nh+W0qn02H//v0AgP79+0MQhBo9fk0RRRFZWVnw8vJymPNO9mer895QXif1BV/vDRvnbBMRERER2QmTbSIiIiIiO2GyTURERERkJ0y2iYiIiIjshMk2EREREZGdMNmuJhZzofqIz2siIiLbYLJtJblcDqB41UGi+qbkeV3yPCciIiLrcFEbKwmCAC8vL6SmpgIAXF1dq1070xHrLZP9OdJ5F0URBQUFSE1NhZeXF2v3EhERVROT7Wpo0qQJABgSblvQ6/WQSvmDQ0PjaOfdy8vL8PwmIiIi6zHZrgaJRIKmTZvCz88PGo2m2vsTRRE5OTnw8PCo9RFOqjmOdt7lcjlHtImIiGyEybYNCIJgk+REFEUUFhbCxcXFIZIuqhk870RERPWX4/xuXcbx48fx+OOPIyQkBD179sTEiROxffv2Ku1Dr9fju+++w9ixYxEUFISwsDA8++yzuHr1qn2CJiIiIiIqxSFHtg8fPozZs2dDLpdj9OjRcHd3x65du7Bw4ULcvHkTc+fOtWg/r7/+OjZt2oT27dtj2rRpSE9Pxy+//IKDBw/ihx9+QPv27e38SIiIiIioIXO4ZFur1eK1116DRCLB+vXr0aVLFwDAvHnz8MgjjyAqKgojR45E69atK9xPfHw8Nm3ahODgYHzzzTdwcnICAIwfPx6PPfYY3njjDXz33Xf2fjhERERE1IA53DSS+Ph4XL9+HWPGjDEk2gCgVCrx9NNPQ6vVYuvWrZXuZ/PmzQCA5557zpBoA0B4eDj69euHhIQEXLlyxfYPgIiIiIjo/zlcsn3kyBEAQL9+/Uy29e3b16hPRQ4fPgxXV1f06tXLZFvJvhMSEqoTKhERERFRhRxuGknJxYutWrUy2ebp6Qlvb29cu3atwn0UFBTgzp076Nixo9kqISVTUCq6ULI2lqsuOSaXym5YeN6NiaJo9Depr38XnveGyVbnvaG8TuoLvt7rL0uqiDlcsp2XlwcAcHd3N7tdqVQiOTm5wn3k5uYa+pa3j9LHMqc2SrBJJBJ4e3vX+HGpdvG8G5PJZBg8eHBth2F3PO8Nk63Oe0N5ndQXfL03bA43jYSIiIiIqL5wuGS7ZNS5ZHS6rLy8vHJHvUuUbC9v5LqkvbyRbyIiIiIiW3C4ZLtkPrW5ednZ2dnIzMw0O5+7NFdXVzRu3BhJSUnQ6XQm20vmaldWPpCIiIiIqDocLtkOCQkBABw4cMBk28GDBwEAoaGhle4nNDQUBQUF+Oeff0y2ley75FhERERERPbgcMl2eHg4AgICEBsbizNnzhja8/LysGrVKshkMkyYMMHQnpGRgUuXLiEjI8NoP5MmTQIAfPTRRygqKjK0x8XF4cCBAwgJCUGbNm3s/GiIiIiIqCGTiA5YhyY+Ph5z5syBXC7HmDFjoFQqsWvXLiQlJeG5557DU089ZegbFRWF6OhoREZGYv78+Ub7ee2117B582a0b98eAwcONCzX7uzs7FDLtR8/fhxRUVFITEyERqNB+/btMXPmTIwdO7a2Q6Nq+umnn/D333/j5MmTOH/+PDQaDZYtW4aIiAiz/fPy8hAVFYVdu3bhzp07aNy4MYYPH4758+fzGoM6IiUlBTt37sS+fftw+fJlpKWlwdPTE7169cKcOXPQo0cPk/vwvNd9OTk5+OSTT3DixAkkJSUhOzsb3t7eaNOmDaZOnYrhw4ebVLniea+fvvzyS7z//vsAgI0bN6Jnz54mfXjuGxaHTLaB4gT0k08+MUlAH3jgAaN+FSXber0e69evx8aNG3Ht2jW4urqid+/eWLBggcOMah8+fBizZ8+GXC7H6NGj4e7ubvhisWDBAsydO7e2Q6RqGDJkCG7evAlvb2+4urri5s2b5SbbBQUFmDJlCs6cOYO+ffuiS5cuOHv2LPbv34/OnTvj+++/h6uray08CqqK999/H19++SVatmyJkJAQNGrUCNeuXcPu3bshiiJWrFiBUaNGGfrzvNcP165dw/jx49GjRw+0bNkSXl5eSE9Px59//on09HRMmjQJb7/9tqE/z3v9dOnSJYwfPx4ymQwFBQVmk22e+wZIpFqj0WjEoUOHit26dRNPnTplaM/NzRVHjx4tdunSRbxy5UrtBUjVdvDgQTEpKUkURVH8/PPPxY4dO4oxMTFm+3788cdix44dxeXLl5tt//jjj+0eL1Xfb7/9JiYkJJi0JyQkiF27dhVDQ0NFtVptaOd5rx+0Wq2o0WhM2nNzc8VRo0aJHTt2FM+fP29o53mvf7Rarfjggw+KEydOFBcuXCh27NhR/Pfff0368dw3PA43Z7shiY+Px/Xr1zFmzBh06dLF0K5UKvH0009Dq9Vi69attRghVVefPn3QvHnzSvuJoojNmzfD1dUV8+bNM9r25JNPwtPTE1u2bOHqY3XA8OHDERwcbNIeHByM3r17IysrC+fOnQPA816fCIIAmcx0nTilUol+/foBuFtli+e9fvryyy9x9uxZvPPOO2ZXrwZ47hsqJtu16MiRIwBgeCMurW/fvkZ9qH67evUqUlNT0atXL5OfD52dnREcHIyUlBSzJTGp7ihJxkr+y/Ne/6nVasTHx0MikRiuE+J5r3/Onz+P6OhoPPXUU+jQoUO5/XjuGyaHW669ISmp922ubrinpye8vb35gmsgSs5zebXfS54j165dY334OurWrVs4dOgQGjdujI4dOwLgea+PcnJy8O2330Kv1yM9PR379u3D7du3ERkZabKOBM97/aDVavHyyy+jXbt2eOKJJyrsy3PfMDHZrkUlK1mWtyKmUqlEcnJyTYZEtaRkxdTyrkKvbGVVcmwajQaLFi1CUVERFi5caPiJmee9/snJyUF0dLThtlwux6JFizBr1ixDG897/fLZZ5/h3Llz2LRpE+RyeYV9ee4bJibbRER2pNfr8Z///AcJCQmYNGkSxo8fX9shkR21aNEC586dg06nw+3bt/HLL7/gww8/xL///ouPPvrI7LxuqrvOnj2Lzz77DLNmzULXrl1rOxxyUJyzXYsq+wabl5dX7qg31S8l57nk146yKvsVhByTKIp47bXX8PPPP+OBBx7Am2++abSd573+EgQBLVq0wBNPPIHnnnsOv//+OzZt2gSA570+eemllxAQEGBSerg8PPcNE5PtWlR2/l5p2dnZyMzMNDufm+qfkvNcMo+/rJLnCJ8PdUfJiHZMTAzGjBmDd999F1Kp8Vsuz3vDUHIRfMkF7zzv9cfZs2dx+fJldO/eHYGBgYZ/27ZtAwA8/PDDCAwMxO7duwHw3DdU/D2rFoWEhODzzz/HgQMHMHr0aKNtBw8eBACEhobWRmhUw1q3bg0/Pz/8888/KCgoMLpKXa1W4+jRo/Dz8+MbcB2h1+vx6quvYuvWrRg1ahSWL19uthQYz3vDkJKSAgCG5wDPe/0xceJEs+1Hjx7F1atXMWTIEPj4+BhKwPLcN0wc2a5F4eHhCAgIQGxsLM6cOWNoz8vLw6pVqyCTyTBhwoRajJBqikQiwUMPPYSCggKsXLnSaNvnn3+O7OxsPPTQQybLPZPjKZ1ojxw5Eu+99165NXd53uuPM2fOmJ0SmJWVhQ8//BAAMGDAAAA87/XJ0qVLzf675557ABTXzl66dCk6d+4MgOe+oXLY5dobivj4eMyZMwdyuRxjxoyBUqk0LNf+3HPP4amnnqrtEKkaNm/ejL///htAcR3WU6dOoVevXoZRi6FDh2Lo0KEATJfw7dq1K86ePYt9+/ZxCd86JCoqCtHR0XB1dcWMGTPMXhA3dOhQw4cvz3v9sHTpUmzZsgW9e/dGs2bNoFAocOvWLezduxcFBQUYMWIEPvroI8NUIp73+u3ll1/Gtm3bLFqunee+/mOy7QCOHz+OTz75BImJidBoNGjfvj1mzpyJBx54oLZDo2oqecMtT2RkpNGFNbm5uYiOjsZvv/2GtLQ0+Pr6YsSIEYiMjOQFM3VEZeccAJYtW4aIiAjDbZ73uu/o0aOIiYlBYmIiUlNTUVhYCE9PT3Tp0gXjx4/H6NGjTUYred7rr4qSbYDnvqFhsk1EREREZCecs01EREREZCdMtomIiIiI7ITJNhERERGRnTDZJiIiIiKyEybbRERERER2wmSbiIiIiMhOmGwTEREREdkJk20iIiIiIjthsk1EREREZCdMtomIyCJRUVEIDAzE4cOHazsUIqI6g8k2EVEdcfjwYQQGBiIqKqq2Q7GpoqIi9OjRA8uWLTO0PfvssxgxYkQtRkVEZBtMtomIqFYdP34chYWF6N27NwBAFEUcOXLEcJuIqC5jsk1ERLXq8OHDEAQBISEhAIBz584hIyODyTYR1QtMtomI6oCoqCjMmDEDABAdHY3AwEDDv6SkJADAlStXsHz5ckyYMAG9e/dG9+7dMWLECLz//vvIz8832ef06dMRGBgIrVaLlStXYsiQIejWrRtGjBiB9evXWxzb2bNn0a9fP/Tu3RvHjh2rtH9hYSGuXbtm+Hfo0CG0bt0aGRkZuHbtGn7//XcAgL+/v6EPEVFdJavtAIiIqHKhoaGYMGECtm3bhtDQUISGhhq2eXh4AAB+//13xMTEoHfv3ggNDYVer8exY8fw5ZdfIiEhAd999x3kcrnJvp9//nkcP34cAwYMgFQqxc6dO/HWW29BLpdj0qRJFcZ19OhRzJ07F0qlEt9++y3atWtX6WM5duyY4YtDacOHDze6PXXqVMP/nzt3rtL9EhE5IibbRER1QMmUipJke/78+SZ9xo0bh0cffRROTk5G7dHR0YiKisLOnTvxwAMPmNwvOTkZsbGxUCqVAIAZM2Zg7Nix+PrrrytMtnfv3o3nn38eAQEB+Oqrr9CkSROLHkuHDh3w8ccfAygeFf/0008RGRmJDh06QBRFvPjii+jXrx/Gjx9v0f6IiBwZp5EQEdUT/v7+Jok2AEybNg0AEBcXZ/Z+zz//vCHRBoC2bduiV69euHLlCvLy8szeZ/PmzXjmmWfQpUsXrF+/3uJEGwB8fHwwcuRIjBw5Ek5OThAEAY8++ihGjhyJNm3aQKPRYMyYMYY+I0eOtHjfRESOhiPbRET1hCiKiImJwbZt23DhwgXk5uZCr9cbtqemppq9X9euXU3a/P39AQC5ublGiTgArFmzBnv27MHAgQPx8ccfQ6FQWB3zkSNH0KlTJ7i7uwMAEhISAMBwsSQRUV3HZJuIqJ5YsmQJvvvuOzRt2hRDhgxB48aNDSPd0dHRKCoqMnu/kkS3NJms+ONBp9OZbPv7778BAP37969yon3mzBns3r3bcPvff/9F27ZtDbXD9+zZA4VCgU2bNhlie/TRR6t0DCIiR8Jkm4ioHkhPT8f69esRGBiIjRs3GiXBd+7cQXR0tM2OtXTpUnz66adYunQppFKp0YWMlTlz5oxJLKdPn8bp06eN2kr6NG/enMk2EdVpnLNNRFRHCIIAwPxo840bNyCKIvr06WMy2nz06FGbxuHh4YFvvvkGXbp0wVtvvVWlMoERERE4d+4czp07hxdeeAFSqRRHjx7FuXPnsH37dgDAe++9Z+izZ88em8ZORFTTmGwTEdURnp6eAICUlBSTbc2aNQNQPC2j9Dzt5ORkrFixwi6xrFmzBt26dcNbb72FdevWVXkfnK9NRA0Bp5EQEdURbdu2hZ+fH3bs2AEXFxc0adIEEokEkydPhp+fH0aMGIHffvsNDz74IMLCwpCeno69e/ciLCwMN27csHk8JSPcs2bNwpIlSyCKotn62ebodDr8888/ePDBBw1tR48eRUBAAJo2bWrzWImIagtHtomI6ghBEBAdHY0ePXrgp59+wgcffIAVK1YgOzsbALBs2TLMmjUL2dnZ+O6773Ds2DE8+uijdhnZLlGScAcFBWHp0qX49ttvLbrfqVOnkJ+fbzSKffToUY5qE1G9IxFFUaztIIiIiIiI6iOObBMRERER2QmTbSIiIiIiO2GyTURERERkJ0y2iYiIiIjshMk2EREREZGdMNkmIiIiIrITJttERERERHbCZJuIiIiIyE6YbBMRERER2QmTbSIiIiIiO2GyTURERERkJ0y2iYiIiIjs5P8AE84SJpMWSnAAAAAASUVORK5CYII=",
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       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Predator model\n", "plot_survival_posterior(predator_inference, color=PREDATOR_COLORS)" ] }, { "cell_type": "code", "execution_count": 28, "id": "392ea843", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_dist(predator_inference.posterior[\"beta_predator\"])\n", "plt.xlabel(\"$\\\\beta_P$ (effect of predators)\")\n", "plt.ylabel(\"density\")\n", "plt.title(\"Predators have negative effect on survival\");" ] }, { "cell_type": "markdown", "id": "23157ca7-04b0-4551-9800-d85b44cc1af3", "metadata": {}, "source": [ "### Predictions vs Inference" ] }, { "cell_type": "code", "execution_count": 29, "id": "f456349a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.lines import Line2D\n", "from matplotlib.patches import Patch\n", "\n", "# Should we probably be using the posterior predictive here, rather than the posterior?\n", "multilevel_posterior_mean = multilevel_inference.posterior.mean(dim=(\"chain\", \"draw\"))[\"p_survived\"]\n", "predator_posterior_mean = predator_inference.posterior.mean(dim=(\"chain\", \"draw\"))[\"p_survived\"]\n", "\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", "\n", "plt.sca(axs[0])\n", "for x, y, c in zip(multilevel_posterior_mean, predator_posterior_mean, PREDATOR_COLORS):\n", " utils.plot_scatter(xs=x, ys=y, color=c, alpha=0.8)\n", "\n", "plt.plot((0, 1), (0, 1), \"k--\")\n", "plt.xlabel(\"p(survive) - model without predators\")\n", "plt.ylabel(\"p(survive) - model with predators\")\n", "\n", "# Legend\n", "legend_kwargs = dict(marker=\"o\", color=\"none\", markersize=8, alpha=0.8)\n", "legend_elements = [\n", " Line2D([0], [0], markerfacecolor=\"C0\", label=\"Predators\", **legend_kwargs),\n", " Line2D([0], [0], markerfacecolor=\"C1\", label=\"No Predators\", **legend_kwargs),\n", "]\n", "plt.legend(handles=legend_elements, loc=\"lower right\")\n", "plt.title(\"extremely similar predictions\")\n", "plt.axis(\"square\")\n", "\n", "plt.sca(axs[1])\n", "az.plot_dist(\n", " multilevel_inference.posterior[\"sigma\"],\n", " ax=axs[1],\n", " color=\"C1\",\n", " label=\"mST\",\n", " plot_kwargs={\"lw\": 3},\n", ")\n", "az.plot_dist(\n", " predator_inference.posterior[\"sigma\"],\n", " ax=axs[1],\n", " color=\"C0\",\n", " label=\"mSTP\",\n", " plot_kwargs={\"lw\": 3},\n", ")\n", "plt.xlim([0, 2.5])\n", "plt.xlabel(r\"$\\sigma$\")\n", "plt.title(r\"very different $\\sigma$ values\");" ] }, { "cell_type": "markdown", "id": "4c05949e-e51e-422b-a9c9-06b29c852145", "metadata": {}, "source": [ "- Model without predators can predict survival just as well as the model with predators\n", "- This is because the multi-level model can still capture the tank-level variablity through the individual $\\alpha_T$\n", "- However, adding predators \"explains away\" a lot more of the tank-level variance. This is demonstrated by the $\\sigma$ values for tank-level variability being smaller in the predator model. Thus the predator model has to consider less tank-based variablity in order to capture the variability in survival." ] }, { "cell_type": "markdown", "id": "140f4890", "metadata": {}, "source": [ "## Varying Effect Superstitions\n", "- ~~Partial pooling requires random sampling from the population ❌~~\n", "- ~~Number of categories / units must be large ❌~~\n", "- ~~Variation must be Gaussian ❌~~\n", " - Gaussian priors can learn non-Gaussian distributions\n", " \n", "## Practical Difficulties\n", "- Using multiple clusters simultaneously (e.g. participants AND stories)\n", "- Sampling efficiency -- recoding (e.g. centered/non-centered priors)\n", "- Partial pooling on other parameters (e.g. slopes) or unobserved confounds?\n", "\n", "These difficulties will be addressed in upcoming lectures on Multi-level models. 😅" ] }, { "cell_type": "markdown", "id": "bb6111de", "metadata": {}, "source": [ "# BONUS: Fixed Effects, Multilevel Models, & Mundlak Machines" ] }, { "cell_type": "markdown", "id": "77db9c3f", "metadata": {}, "source": [ "## Random Confounds" ] }, { "cell_type": "code", "execution_count": 30, "id": "4659d427", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "X\n", "\n", "X\n", "\n", "\n", "\n", "G->X\n", "\n", "\n", "\n", "\n", "\n", "Y\n", "\n", "Y\n", "\n", "\n", "\n", "G->Y\n", "\n", "\n", "\n", "\n", "\n", "X->Y\n", "\n", "\n", "\n", "\n", "\n", "Z\n", "\n", "Z\n", "\n", "\n", "\n", "Z->Y\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"G\", \"X\"), (\"G\", \"Y\"), (\"X\", \"Y\"), (\"Z\", \"Y\")],\n", " node_props={\"G\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n", ")" ] }, { "cell_type": "markdown", "id": "e3f33b30", "metadata": {}, "source": [ "**Estimand**: Influence of $X$ on $Y$\n", "\n", "\n", "- Outcome $Y$ (e.g. tadpole survival)\n", "- Individual-level traits $X$\n", "- Group-level traits $Z$\n", "- Unobserved tank effects $G$\n", " - effects both $X$ and $Y$\n", " - e.g. tank temperature\n", " - creates a backdoor path from $X$ to $Y$ (via fork)\n", " - We can't directly measure $G$.\n", " - However, if we have repeat observations, there's some tricks up our sleeve that we can use.\n", " \n", "**Estimator?**\n", "\n", "1. Fixed Effects model\n", "2. Multi-level model\n", "3. Muldlak Machine\n", "\n", "### Simulate some data" ] }, { "cell_type": "code", "execution_count": 31, "id": "bc2da6e7", "metadata": {}, "outputs": [], "source": [ "# Generate data\n", "np.random.seed(12)\n", "\n", "N_GROUPS = 30\n", "N_IDS = 200\n", "ALPHA = -2 # p(Y) < .5 on average\n", "BETA_ZY = -0.5\n", "BETA_XY = 1\n", "\n", "# Group-level data\n", "GROUP = np.random.choice(np.arange(N_GROUPS).astype(int), size=N_IDS, replace=True)\n", "Z = stats.norm.rvs(size=N_GROUPS) # Observed group traits\n", "U = stats.norm(0, 1.5).rvs(size=N_GROUPS) # Unobserved group confound\n", "\n", "# Individual-level data\n", "X = stats.norm.rvs(U[GROUP]) # Observed individual traits\n", "p = utils.invlogit(ALPHA + BETA_XY * X + U[GROUP] + BETA_ZY * Z[GROUP])\n", "Y = stats.bernoulli.rvs(p=p)" ] }, { "cell_type": "markdown", "id": "13a070e1-e5c4-4490-b386-4efbcada311e", "metadata": {}, "source": [ "#### Show below that groups aren't randomly sampled" ] }, { "cell_type": "code", "execution_count": 32, "id": "c0190efe", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(GROUP, bins=N_GROUPS)\n", "plt.title(\"Distribution of Groups\");" ] }, { "cell_type": "markdown", "id": "bd94629f", "metadata": {}, "source": [ "### Naive Model\n", "\n", "$$\n", "\\begin{align*}\n", "Y &\\sim \\text{Bernoulli}(p) \\\\\n", "\\text{logit}(p_i) &= \\alpha + \\beta_{X}X + \\beta_{Z} Z_{G[i]} \\\\\n", "\\alpha &\\sim \\text{Normal}(0, 10) \\\\\n", "\\beta_* &\\sim \\text{Normal}(0, 1)\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 33, "id": "86144600", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha, beta_XY, beta_ZY]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3fb5583449c74f38a33128bbc931f8c6", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as naive_model:\n",
    "\n",
    "    # Priors\n",
    "    fixed_sigma = 10  # no pooling\n",
    "    alpha = pm.Normal(\"alpha\", 0, fixed_sigma)  # no group effects\n",
    "    beta_XY = pm.Normal(\"beta_XY\", 0, 1)\n",
    "    beta_ZY = pm.Normal(\"beta_ZY\", 0, 1)\n",
    "\n",
    "    # Likelihood\n",
    "    p = pm.math.invlogit(alpha + beta_XY * X + beta_ZY * Z[GROUP])\n",
    "    pm.Bernoulli(\"Y_obs\", p=p, observed=Y)\n",
    "    naive_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6bec0f9",
   "metadata": {},
   "source": [
    "### Fixed effect Model\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "Y &\\sim \\text{Bernoulli}(p) \\\\\n",
    "\\text{logit}(p_i) &= \\alpha_{G[i]} + \\beta_{X}X_i + \\beta_{Z} Z_{G[i]} \\\\\n",
    "\\alpha_j &\\sim \\text{Normal}(0, 10) \\\\\n",
    "\\beta_* &\\sim \\text{Normal}(0, 1)\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "- Estimate a different average rate for each group **without pooling**\n",
    "- $\\beta_Z$ and $\\beta_X$ are global parameters\n",
    "- Accounts for group-level confounding effect of $G$ (via offsets for each group)\n",
    "- Problems:\n",
    "  - Cannot identify any group-level effects $Z$\n",
    "    - $Z$ is unidentifiable because it's added globally\n",
    "      - there are an infinite number of equivalent combinations of $\\alpha_{G[i]} + \\beta_Z Z_{G[i]}$\n",
    "      - can't separate contribution of $\\beta_Z$ from $\\alpha$ \n",
    "    - Can't include group-level predictors with Mixed-effect model\n",
    "  - Inefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "6566fb40",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [alpha, beta_XY, beta_ZY]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2bc9533c19a34772aa916bbc73c74321",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n",
      "There were 53 divergences after tuning. Increase `target_accept` or reparameterize.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as fixed_effects_model:\n",
    "\n",
    "    # Priors\n",
    "    fixed_sigma = 10  # no pooling\n",
    "    alpha = pm.Normal(\"alpha\", 0, fixed_sigma, shape=N_GROUPS)\n",
    "    beta_XY = pm.Normal(\"beta_XY\", 0, 1)\n",
    "    beta_ZY = pm.Normal(\"beta_ZY\", 0, 1)\n",
    "\n",
    "    # Likelihood\n",
    "    p = pm.math.invlogit(alpha[GROUP] + beta_XY * X + beta_ZY * Z[GROUP])\n",
    "    pm.Bernoulli(\"Y_obs\", p=p, observed=Y)\n",
    "    fixed_effect_inference = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2220fced",
   "metadata": {},
   "source": [
    "### Multilevel Model\n",
    "\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "Y &\\sim \\text{Bernoulli}(p) \\\\\n",
    "\\text{logit}(p_i) &= \\alpha_{G[i]} + \\beta_{X}X + \\beta_{Z} Z_{G[i]} \\\\\n",
    "\\beta_* &\\sim \\text{Normal}(0, 1) \\\\\n",
    "\\alpha_j &\\sim \\text{Normal}(\\bar a, \\tau) \\\\\n",
    "\\bar a &\\sim \\text{Normal}(0, 1) \\\\\n",
    "\\tau &\\sim \\text{Exponential}(10)\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "- Estimate a different average rate for each group **with partial pooling**\n",
    "- better estimates for $G$ effects\n",
    "- at the expense of estimating $X$ effects\n",
    "  - compromises estimating the confound so that it can get better estimates for the group\n",
    "- CAN identify $Z$ effects\n",
    "  - CAN incorporate group-level predictors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "8d73cc27",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [alpha_bar, tau, z, beta_XY, beta_ZY]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8c24442fcf98450987fce94b65a9c3ec",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as multilevel_model:\n",
    "\n",
    "    # Priors\n",
    "    alpha_bar = pm.Normal(\"alpha_bar\", 0, 1)\n",
    "    tau = pm.Exponential(\"tau\", 1)\n",
    "\n",
    "    # NOTE: non-centered prior reparameterization for numerical stability\n",
    "    z = pm.Normal(\"z\", 0, 1, shape=N_GROUPS)\n",
    "    alpha = alpha_bar + z * tau\n",
    "\n",
    "    beta_XY = pm.Normal(\"beta_XY\", 0, 1)\n",
    "    beta_ZY = pm.Normal(\"beta_ZY\", 0, 1)\n",
    "\n",
    "    # Likelihood\n",
    "    p = pm.math.invlogit(alpha[GROUP] + beta_XY * X + beta_ZY * Z[GROUP])\n",
    "    pm.Bernoulli(\"Y_obs\", p=p, observed=Y)\n",
    "    multilevel_inference = pm.sample(target_accept=0.95)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28b3d1f1",
   "metadata": {},
   "source": [
    "### Compare Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "065d178d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compare_model_posteriors(inferences, labels, variable=\"beta_XY\"):\n",
    "    \"\"\"Helper function to plot model posteriors\"\"\"\n",
    "    groundtruth = BETA_XY if variable == \"beta_XY\" else BETA_ZY\n",
    "    for ii, inference in enumerate(inferences):\n",
    "        az.plot_dist(inference.posterior[variable].values, color=f\"C{ii}\", label=labels[ii])\n",
    "    plt.axvline(groundtruth, label=\"actual\", color=\"k\", linestyle=\"--\")\n",
    "    plt.title(f\"posterior {variable}\")\n",
    "    plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "e50bafa4",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
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       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_model_posteriors(\n", " inferences=[naive_inference, fixed_effect_inference, multilevel_inference],\n", " labels=[\"naive\", \"fixed\", \"multi-level\"],\n", ")" ] }, { "cell_type": "markdown", "id": "b8351a4e", "metadata": {}, "source": [ "Fixed effect models are better (though not great in this simulation) than multi-level (and naive) model at identifying the individual-level group confound, but can't identify any group effects." ] }, { "cell_type": "code", "execution_count": 38, "id": "45429717", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_model_posteriors(\n", " inferences=[naive_inference, fixed_effect_inference, multilevel_inference],\n", " labels=[\"naive\", \"fixed\", \"multi-level\"],\n", " variable=\"beta_ZY\",\n", ")" ] }, { "cell_type": "markdown", "id": "7190d51d", "metadata": {}, "source": [ "Multi-level models can identify the group effects, though it can't identify the confound. Fixed effect models can't say much about the group level effects.\n", "\n", "- If interested completely in _prediction_, multi-level models are better\n", "- If interested in _inference_ (i.e. via do-calculus or counterfactuals), you might want to use fixed effects (though group-level prediction accuracy may be poor)" ] }, { "cell_type": "markdown", "id": "40849920", "metadata": {}, "source": [ "### Mundlak Machines" ] }, { "cell_type": "code", "execution_count": 39, "id": "a0ae4486", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "X\n", "\n", "X\n", "\n", "\n", "\n", "G->X\n", "\n", "\n", "\n", "\n", "\n", "Y\n", "\n", "Y\n", "\n", "\n", "\n", "G->Y\n", "\n", "\n", "\n", "\n", "\n", "X_bar\n", "\n", "X_bar\n", "\n", "\n", "\n", "G->X_bar\n", "\n", "\n", "\n", "\n", "\n", "X->Y\n", "\n", "\n", "\n", "\n", "\n", "Z\n", "\n", "Z\n", "\n", "\n", "\n", "Z->Y\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"G\", \"X\"), (\"G\", \"Y\"), (\"G\", \"X_bar\"), (\"X\", \"Y\"), (\"Z\", \"Y\")],\n", " node_props={\"G\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n", ")" ] }, { "cell_type": "markdown", "id": "65ee55f5", "metadata": {}, "source": [ "#### Statistical Model\n", "\n", "$$\n", "\\begin{align*}\n", "Y &\\sim \\text{Bernoulli}(p) \\\\\n", "\\text{logit}(p_i) &= \\alpha_{G[i]} + \\beta_{X}X + \\beta_{Z} Z_{G[i]} + \\beta_{\\bar X} \\bar X_{G[i]}\\\\\n", "\\beta_* &\\sim \\text{Normal}(0, 1) \\\\\n", "\\alpha_j &\\sim \\text{Normal}(\\bar a, \\tau) \\\\\n", "\\bar a &\\sim \\text{Normal}(0, 1) \\\\\n", "\\tau &\\sim \\text{Exponential}(10)\n", "\\end{align*}\n", "$$\n", "\n", "- Estimate a different average rate for each group **with partial pooling**\n", "- Takes advantage of the idea that conditioning on a descendent in a graph can (at least partially) deconfound a the parent/ancestor variable.\n", "- Uses the group-level mean as child of the confounding variables to reduce it's confounding effect.\n", "- Problems:\n", " - somewhat inefficient\n", " - because groups have different size, we also need to consider the uncertainty in the estimation of the group-level means, which the Mundlak machine ignores\n" ] }, { "cell_type": "code", "execution_count": 40, "id": "673548c0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha_bar, tau, z, beta_XY, beta_ZY, beta_XbarY]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8d4f4f30b50649879066634f2d596e75", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 4 seconds.\n"
     ]
    }
   ],
   "source": [
    "# Group-level average\n",
    "Xbar = np.array([X[GROUP == g].mean() for g in range(N_GROUPS)])\n",
    "\n",
    "with pm.Model() as mundlak_model:\n",
    "    # Priors\n",
    "    alpha_bar = pm.Normal(\"alpha_bar\", 0, 1)\n",
    "    tau = pm.Exponential(\"tau\", 1)\n",
    "    z = pm.Normal(\"z\", 0, 1, shape=N_GROUPS)\n",
    "\n",
    "    # Note: uncentered reparameterization\n",
    "    alpha = alpha_bar + z * tau\n",
    "\n",
    "    beta_XY = pm.Normal(\"beta_XY\", 0, 1)\n",
    "    beta_ZY = pm.Normal(\"beta_ZY\", 0, 1)\n",
    "    beta_Xbar_Y = pm.Normal(\"beta_XbarY\", 0, 1)\n",
    "\n",
    "    # Likelihood\n",
    "    p = pm.math.invlogit(\n",
    "        alpha[GROUP] + beta_XY * X + beta_ZY * Z[GROUP] + beta_Xbar_Y * Xbar[GROUP]\n",
    "    )\n",
    "    pm.Bernoulli(\"Y_obs\", p=p, observed=Y)\n",
    "    mundlak_inference = pm.sample(target_accept=0.95)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "707420ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
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       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_model_posteriors(\n", " inferences=[naive_inference, fixed_effect_inference, multilevel_inference, mundlak_inference],\n", " labels=[\"naive\", \"fixed\", \"multi-level\", \"Mundlak\"],\n", ")" ] }, { "cell_type": "code", "execution_count": 42, "id": "119df87b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_model_posteriors(\n", " inferences=[naive_inference, fixed_effect_inference, multilevel_inference, mundlak_inference],\n", " labels=[\"naive\", \"fixed\", \"multi-level\", \"Mundlak\"],\n", " variable=\"beta_ZY\",\n", ")" ] }, { "cell_type": "markdown", "id": "8b39236f-4ae1-4beb-8d4f-6e9af5eae693", "metadata": {}, "source": [ "Mundlak machines are able to capture both Treatment and Group-level effects" ] }, { "cell_type": "markdown", "id": "660a5380", "metadata": {}, "source": [ "## Latent Mundlak Machine (aka \"Full Luxury Bayes\")\n", "\n", "- We model not only the observed outcome $Y$ (as a function of $X, G, Z$), but also the treatment $X$ (as a function of the confound G).\n", "- Unlike the Mundlak machine, which collapses $\\bar X$ into a point estimate, thus ignoring the uncertainty in that mean estimate, the Latent Mundlak estimates this uncertainty by including the submodel on $X$.\n", "- akin to a measurment error model\n", "\n", "So the original graph:" ] }, { "cell_type": "code", "execution_count": 43, "id": "4db47cdd", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "X\n", "\n", "X\n", "\n", "\n", "\n", "G->X\n", "\n", "\n", "\n", "\n", "\n", "Y\n", "\n", "Y\n", "\n", "\n", "\n", "G->Y\n", "\n", "\n", "\n", "\n", "\n", "X->Y\n", "\n", "\n", "\n", "\n", "\n", "Z\n", "\n", "Z\n", "\n", "\n", "\n", "Z->Y\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"G\", \"X\"), (\"G\", \"Y\"), (\"X\", \"Y\"), (\"Z\", \"Y\")],\n", " node_props={\"G\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n", ")" ] }, { "cell_type": "raw", "id": "0014ee0d-7bc1-4f16-b6e5-b679d70666be", "metadata": {}, "source": [ "...is modeled (simultaneously) as two sub-graphs each with their own regression sub-model " ] }, { "cell_type": "markdown", "id": "f4434dc6-fd63-4424-9c05-7ff6c0b9a82d", "metadata": {}, "source": [ "#### 1. $X$ sub-model" ] }, { "cell_type": "code", "execution_count": 44, "id": "984cc84f-964d-4855-a94a-a2b30f084be2", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "X\n", "\n", "X\n", "\n", "\n", "\n", "G->X\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[\n", " (\"G\", \"X\"),\n", " ],\n", " node_props={\"G\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n", ")" ] }, { "cell_type": "markdown", "id": "60fc4ed9-c9d1-489f-ac69-0a0b8004bf14", "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", "X_i &\\sim \\text{Normal}(\\mu_{X}, \\sigma_X) \\\\\n", "\\mu_{X_i} &= \\alpha_X + \\beta_{GX} U_{G[i]} \\\\\n", "U_G &\\sim \\text{Normal}(0, 1) \\\\\n", "\\alpha_X &\\sim \\text{Normal}(0, 1) \\\\\n", "\\sigma_X &\\sim \\text{Exponential}(1)\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "markdown", "id": "040f6d2e-2dee-40bf-8634-a49657810461", "metadata": {}, "source": [ "#### 2. $Y$ sub-model" ] }, { "cell_type": "code", "execution_count": 45, "id": "48469530", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "G\n", "\n", "\n", "\n", "Y\n", "\n", "Y\n", "\n", "\n", "\n", "G->Y\n", "\n", "\n", "\n", "\n", "\n", "X\n", "\n", "X\n", "\n", "\n", "\n", "X->Y\n", "\n", "\n", "\n", "\n", "\n", "Z\n", "\n", "Z\n", "\n", "\n", "\n", "Z->Y\n", "\n", "\n", "\n", "\n", "\n", "unobserved\n", "\n", "unobserved\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "utils.draw_causal_graph(\n", " edge_list=[(\"G\", \"Y\"), (\"X\", \"Y\"), (\"Z\", \"Y\")],\n", " node_props={\"G\": {\"style\": \"dashed\"}, \"unobserved\": {\"style\": \"dashed\"}},\n", ")" ] }, { "cell_type": "markdown", "id": "ca16413e", "metadata": {}, "source": [ "$$\n", "\\begin{align*}\n", "Y_i &\\sim \\text{Bernoulli}(p_i) \\\\\n", "\\text{logit}(p_i) &= \\alpha_{Y,G[i]} + \\beta_{XY}X_i + \\beta_{GY} U_{G[i]}\\\\\n", "U_G &\\sim \\text{Normal}(0, 1) \\\\\n", "\\beta_* &\\sim \\text{Normal}(0, 1) \\\\\n", "\\alpha_{GY} &\\sim \\text{Normal}(\\bar a, \\tau) \\\\\n", "\\bar a &\\sim \\text{Normal}(0, 1) \\\\\n", "\\tau &\\sim \\text{Exponential}(1)\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 46, "id": "76ee7c63", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [u_X, alpha_X, beta_GX, sigma_X, tau, z, alph_bar, beta_XY, beta_ZY, beta_GY]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "019983e645dc492bacb411f9eab718aa", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 6 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as latent_mundlak_model:\n",
    "    # Unobserved variable (could use various priors here)\n",
    "    G = pm.Normal(\"u_X\", 0, 1, shape=N_GROUPS)\n",
    "\n",
    "    # ----------\n",
    "    # X sub-model\n",
    "    # X Priors\n",
    "    alpha_X = pm.Normal(\"alpha_X\", 0, 1)\n",
    "    beta_GX = pm.Exponential(\"beta_GX\", 1)\n",
    "    sigma_X = pm.Exponential(\"sigma_X\", 1)\n",
    "\n",
    "    # X Likelihood\n",
    "    mu_X = alpha_X + beta_GX * G[GROUP]\n",
    "    X_ = pm.Normal(\"X\", mu_X, sigma_X, observed=X)\n",
    "\n",
    "    # ----------\n",
    "    # Y sub-model\n",
    "    # Y priors\n",
    "    tau = pm.Exponential(\"tau\", 1)\n",
    "\n",
    "    # Note: uncentered reparameterization\n",
    "    z = pm.Normal(\"z\", 0, 1, size=N_GROUPS)\n",
    "    alpha_bar = pm.Normal(\"alph_bar\", 0, 1)\n",
    "    alpha = alpha_bar + tau * z\n",
    "\n",
    "    beta_XY = pm.Normal(\"beta_XY\", 0, 1)\n",
    "    beta_ZY = pm.Normal(\"beta_ZY\", 0, 1)\n",
    "    beta_GY = pm.Normal(\"beta_GY\", 0, 1)\n",
    "\n",
    "    # Y likelihood\n",
    "    p = pm.math.invlogit(alpha[GROUP] + beta_XY * X_ + beta_ZY * Z[GROUP] + beta_GY * G[GROUP])\n",
    "    pm.Bernoulli(\"Y\", p=p, observed=Y)\n",
    "\n",
    "    latent_mundlak_inference = pm.sample(target_accept=0.95)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "2d663b86",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
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       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_model_posteriors(\n", " inferences=[\n", " naive_inference,\n", " fixed_effect_inference,\n", " multilevel_inference,\n", " mundlak_inference,\n", " latent_mundlak_inference,\n", " ],\n", " labels=[\"naive\", \"fixed\", \"multi-level\", \"Mundlak\", \"Luxury\"],\n", ")" ] }, { "cell_type": "code", "execution_count": 48, "id": "a567aa7e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_model_posteriors(\n", " inferences=[\n", " naive_inference,\n", " fixed_effect_inference,\n", " multilevel_inference,\n", " mundlak_inference,\n", " latent_mundlak_inference,\n", " ],\n", " labels=[\"naive\", \"fixed\", \"multi-level\", \"Mundlak\", \"Luxury\"],\n", " variable=\"beta_ZY\",\n", ")" ] }, { "cell_type": "markdown", "id": "859b075c", "metadata": {}, "source": [ "## Random Confounds: Summary\n", "- Should you use fixed effects? sometimes, but generally Full-luxury is the way to go\n", "- Should you use Mundlak Machine / Average X?\n", " - Sometimes: it does simplify numerical compuation, but at the expense of losing uncertainty estimation.\n", " - Usually have the compute power anyways, so why not just use FLB?\n", "- Use full generative model\n", " - no single solution, so just be explicit about model" ] }, { "cell_type": "markdown", "id": "86f48085", "metadata": {}, "source": [ "## Authors\n", "* Ported to PyMC by Dustin Stansbury (2024)\n", "* Based on Statistical Rethinking (2023) lectures by Richard McElreath" ] }, { "cell_type": "code", "execution_count": 49, "id": "1d71037c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Tue Dec 17 2024\n", "\n", "Python implementation: CPython\n", "Python version : 3.12.5\n", "IPython version : 8.27.0\n", "\n", "pytensor: 2.26.4\n", "aeppl : not installed\n", "xarray : 2024.7.0\n", "\n", "logging : 0.5.1.2\n", "statsmodels: 0.14.2\n", "pandas : 2.2.2\n", "numpy : 1.26.4\n", "scipy : 1.14.1\n", "pymc : 5.19.1\n", "arviz : 0.19.0\n", "xarray : 2024.7.0\n", "matplotlib : 3.9.2\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p pytensor,aeppl,xarray" ] }, { "cell_type": "markdown", "id": "b329c0c6", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 5 }