{
"cells": [
{
"cell_type": "markdown",
"id": "d68537ba",
"metadata": {},
"source": [
"(BART_introduction)=\n",
"# Bayesian Additive Regression Trees: Introduction\n",
":::{post} Dec 21, 2021\n",
":tags: BART, non-parametric, regression \n",
":category: intermediate, explanation\n",
":author: Osvaldo Martin\n",
":::"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "7c087cca",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running on PyMC v5.9.2+10.g547bcb481\n"
]
}
],
"source": [
"from pathlib import Path\n",
"\n",
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc as pm\n",
"import pymc_bart as pmb\n",
"\n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"%config InlineBackend.figure_format = \"retina\"\n",
"\n",
"print(f\"Running on PyMC v{pm.__version__}\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "25cf7b45",
"metadata": {},
"outputs": [],
"source": [
"RANDOM_SEED = 5781\n",
"np.random.seed(RANDOM_SEED)\n",
"az.style.use(\"arviz-darkgrid\")"
]
},
{
"cell_type": "markdown",
"id": "444df604",
"metadata": {},
"source": [
"## BART overview"
]
},
{
"cell_type": "markdown",
"id": "86f379df",
"metadata": {},
"source": [
"Bayesian additive regression trees (BART) is a non-parametric regression approach. If we have some covariates $X$ and we want to use them to model $Y$, a BART model (omitting the priors) can be represented as:\n",
"\n",
"$$Y = f(X) + \\epsilon$$\n",
"\n",
"where we use a sum of $m$ [regression trees](https://en.wikipedia.org/wiki/Decision_tree_learning) to model $f$, and $\\epsilon$ is some noise. In the most typical examples $\\epsilon$ is normally distributed, $\\mathcal{N}(0, \\sigma)$. So we can also write:\n",
"\n",
"$$Y \\sim \\mathcal{N}(\\mu=BART(X), \\sigma)$$\n",
"\n",
"In principle nothing restricts us to use a sum of trees to model other relationship. For example we may have:\n",
"\n",
"$$Y \\sim \\text{Poisson}(\\mu=BART(X))$$\n",
"\n",
"One of the reason BART is Bayesian is the use of priors over the regression trees. The priors are defined in such a way that they favor shallow trees with leaf values close to zero. A key idea is that a single BART-tree is not very good at fitting the data but when we sum many of these trees we get a good and flexible approximation."
]
},
{
"cell_type": "markdown",
"id": "e239c2c0",
"metadata": {},
"source": [
"## Coal mining with BART\n",
"\n",
"To better understand BART in practice we are going to use the oldie but goldie coal mining disaster dataset. One of the classic examples in PyMC. Instead of thinking this problem as a switch-point model with two Poisson distribution, as in the original PyMC example. We are going to think this problem as a non-parametric regression with a Poisson response (this is usually discussed in terms of [Poisson processes](https://en.wikipedia.org/wiki/Poisson_point_process) or [Cox processes](https://en.wikipedia.org/wiki/Cox_process), but we are OK without going into those technicalities). For a similar example but with Gaussian processes see [1](https://github.com/aloctavodia/BAP/blob/master/code/Chp7/07_Gaussian%20process.ipynb) or [2](https://research.cs.aalto.fi/pml/software/gpstuff/demo_lgcp.shtml). Because our data is just a single column with dates, we need to do some pre-processing. We are going to discretize the data, just as if we were building a histogram. We are going to use the centers of the bins as the variable $X$ and the counts per bin as the variable $Y$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "85bdba1b",
"metadata": {},
"outputs": [],
"source": [
"try:\n",
" coal = np.loadtxt(Path(\"..\", \"data\", \"coal.csv\"))\n",
"except FileNotFoundError:\n",
" coal = np.loadtxt(pm.get_data(\"coal.csv\"))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "5d1221b3",
"metadata": {},
"outputs": [],
"source": [
"# discretize data\n",
"years = int(coal.max() - coal.min())\n",
"bins = years // 4\n",
"hist, x_edges = np.histogram(coal, bins=bins)\n",
"# compute the location of the centers of the discretized data\n",
"x_centers = x_edges[:-1] + (x_edges[1] - x_edges[0]) / 2\n",
"# xdata needs to be 2D for BART\n",
"x_data = x_centers[:, None]\n",
"# express data as the rate number of disaster per year\n",
"y_data = hist"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "98e0da5c",
"metadata": {},
"source": [
"In PyMC a BART variable can be defined very similar to other random variables. One important difference is that we have to pass ours Xs and Ys to the BART variable, this information is used when sampling trees, the prior over the sum of trees is so huge that without any information from our data this will be an impossible task. \n",
"\n",
"Here we are also making explicit that we are going to use a sum over 20 trees (`m=20`). Low number of trees like 20 could be good enough for simple models like this and could also work very good as a quick approximation for more complex models in particular during the early stage of modeling, when we may want to try a few things as quickly as possible in order to better grasp which model may be a good idea for our problem. In those cases once we have more certainty about the model(s) we really like we can improve the approximation by increasing `m`, in the literature is common to find reports of good results with numbers like 50, 100 or 200."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "6ac663f0",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (4 chains in 4 jobs)\n",
"PGBART: [μ_]\n"
]
},
{
"data": {
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"metadata": {},
"output_type": "display_data"
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{
"name": "stderr",
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"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 11 seconds.\n",
"The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n"
]
}
],
"source": [
"with pm.Model() as model_coal:\n",
" μ_ = pmb.BART(\"μ_\", X=x_data, Y=np.log(y_data), m=20)\n",
" μ = pm.Deterministic(\"μ\", pm.math.exp(μ_))\n",
" y_pred = pm.Poisson(\"y_pred\", mu=μ, observed=y_data)\n",
" idata_coal = pm.sample(random_seed=RANDOM_SEED)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "7eb4c307",
"metadata": {},
"source": [
"Before checking the result, we need to discuss one more detail, the BART variable always samples over the real line, meaning that in principle we can get values that go from $-\\infty$ to $\\infty$. Thus, we may need to transform their values as we would do for standard Generalized Linear Models, for example in the `model_coal` we computed `pm.math.exp(μ_)` because the Poisson distribution is expecting values that go from 0 to $\\infty$. This is business as usual, the novelty is that we may need to apply the inverse transformation to the values of `Y`, as we did in the previous model where we took $\\log(Y)$. The main reason to do this is that the values of `Y` are used to get a reasonable initial value for the sum of trees and also the variance of the leaf nodes. Thus, applying the inverse transformation is a simple way to improve the efficiency and accuracy of the result. Should we do this for every possible likelihood? Well, no. If we are using BART for the location parameter of distributions like Normal, StudentT, or AssymetricLaplace, we don't need to do anything as the support of these parameters is also the real line. A nontrivial exception is the Bernoulli likelihood (or Binomial with n=1), in that case, we need to apply the logistic function to the BART variable, but there is no need to apply its inverse to transform `Y`, PyMC-BART already takes care of that particular case.\n",
"\n",
"OK, now let's see the result of `model_coal`."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1c715dbe",
"metadata": {},
"outputs": [
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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 611,
"width": 1011
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(figsize=(10, 6))\n",
"\n",
"rates = idata_coal.posterior[\"μ\"] / 4\n",
"rate_mean = rates.mean(dim=[\"draw\", \"chain\"])\n",
"ax.plot(x_centers, rate_mean, \"w\", lw=3)\n",
"ax.plot(x_centers, y_data / 4, \"k.\")\n",
"az.plot_hdi(x_centers, rates, smooth=False)\n",
"az.plot_hdi(x_centers, rates, hdi_prob=0.5, smooth=False, plot_kwargs={\"alpha\": 0})\n",
"ax.plot(coal, np.zeros_like(coal) - 0.5, \"k|\")\n",
"ax.set_xlabel(\"years\")\n",
"ax.set_ylabel(\"rate\");"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "81f778de",
"metadata": {},
"source": [
"The white line in the following plot shows the median rate of accidents. The darker orange band represents the HDI 50% and the lighter one the 94%. We can see a rapid decrease in coal accidents between 1880 and 1900. Feel free to compare these results with those in the original {ref}`pymc:pymc_overview` example.\n",
"\n",
"In the previous plot, the white line is the mean over 4000 posterior draws, and each one of those posterior draws is a sum over `m=20` trees. \n",
"\n",
"\n",
"The following figure shows two samples from the posterior of $\\mu$. We can see that these functions are not smooth. This is fine and is a direct consequence of using regression trees. Trees can be seen as a way to represent stepwise functions, and a sum of stepwise functions is just another stepwise function. Thus, when using BART we need to know that we are assuming that a stepwise function is a good enough approximation for our problem. In practice, this is often the case because we sum over many trees, usually values like 50, 100, or 200.\n",
"Additionally, we often average over the posterior distribution. All this makes the \"steps smoother\", even when we never really have a smooth function for example with Gaussian processes or splines. A nice theoretical result, tells us that in the limit of $m \\to \\infty$ the BART prior converges to a [nowheredifferentiable](https://en.wikipedia.org/wiki/Weierstrass_function) Gaussian process.\n",
"\n",
"The following figure shows two samples of $\\mu$ from the posterior."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "0c982c16",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"plt.step(x_data, rates.sel(chain=0, draw=[3, 10]).T);"
]
},
{
"cell_type": "markdown",
"id": "c7d04e15",
"metadata": {},
"source": [
"## Biking with BART"
]
},
{
"cell_type": "markdown",
"id": "abf8c799-b89e-48dc-a1c9-8366325a530a",
"metadata": {},
"source": [
"To explore other features offered by PyMC-BART. We are now going to move on to a different example. In this example, we have data about the number of bike rentals in a city, and we have chosen four covariates; the `hour` of the day, the `temperature`, the `humidity`, and whether is a `workingday` or a weekend. This dataset is a subset of the [bike_sharing_dataset](http://archive.ics.uci.edu/ml/datasets/Bike+Sharing+Dataset)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "099f4c0e",
"metadata": {},
"outputs": [],
"source": [
"try:\n",
" bikes = pd.read_csv(Path(\"..\", \"data\", \"bikes.csv\"))\n",
"except FileNotFoundError:\n",
" bikes = pd.read_csv(pm.get_data(\"bikes.csv\"))\n",
"\n",
"features = [\"hour\", \"temperature\", \"humidity\", \"workingday\"]\n",
"\n",
"X = bikes[features]\n",
"Y = bikes[\"count\"]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5f8410b2",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (4 chains in 4 jobs)\n",
"CompoundStep\n",
">NUTS: [α]\n",
">PGBART: [μ]\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"
\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 41 seconds.\n"
]
}
],
"source": [
"with pm.Model() as model_bikes:\n",
" α = pm.Exponential(\"α\", 1)\n",
" μ = pmb.BART(\"μ\", X, np.log(Y), m=50)\n",
" y = pm.NegativeBinomial(\"y\", mu=pm.math.exp(μ), alpha=α, observed=Y)\n",
" idata_bikes = pm.sample(compute_convergence_checks=False, random_seed=RANDOM_SEED)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "731a0cb6",
"metadata": {},
"source": [
"### Convergence diagnostics\n",
"\n",
"To check sampling convergence of BART models we recommend a 2 step approach. \n",
"\n",
"* For the non-BART variables (like $\\alpha$ in `model_bikes`) we follow the standard recommendations, like checking R-hat (<= 1.01), and ESS (< 100x number of chains) numerical diagnostics as well as using trace plots or even better rankplots\n",
"* For the BART variables we recommend using the `pmb.plot_convergence` function. \n",
"\n",
"We can see such checks next:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "7c3ac760",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 211,
"width": 1211
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(idata_bikes, var_names=[\"α\"], kind=\"rank_bars\");"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "3133cd58",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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u4JdffsGIESMwZcoU0VBB+cnGtjpzZucpW7YsrKyshPmyZbelrA1dnD9kvv766y/RaCCNGzcu8GYO45oMycrKCmvWrMHgwYORmJiInJwcTJ48Gf3790ffvn3h5eUFW1tbJCQk4N69e9ixYwdu3rwprN+/f3/0799f4bbZzyYC4uLikJ2dLZQ1fZNGUb9Z9iZQUb5HLCwsUL58eeFGFb9HjI+5xJAily5dEpXT09ORmJiIV69e4ezZs/jpp5/w3//+F7NmzRLNw0ma0UcM6YM++sykmLnEkCKKpjhITk5GREQEgoODsXbtWnTr1g3z58/X6KUUEjPWGLp586bot02ZMmXQpk0bpfXZHzIcc4khRdgf0g9jiSGpVIqUlBQ8e/YMf/75J/bs2YOPHz8CAOzs7BAQEKDy+8aUrkNMzpuRW7du4cCBAwCAUqVKYfHixUXepuycIJpc4GTryiadFLVha2ur8M2iorZBxUNwcDD69euHn376Ce3bt1daT9dxnZGRIfyo1XT7QO5QMAW1QaYp//w4QG5sbNy4EWvWrClw3Y8fP2Ljxo0IDQ1FQEAASpYsKVdHNrZlY0kVS0tL2NraIiUlBYB612xAN98LZL4OHz4sKhf01jzAuCbD8/T0xIEDB7BgwQLcvHkTEokE+/btw759+5Su4+rqismTJ2PQoEFK67CfTVS080BRfUVxqs02srOzkZmZKdcP4/eI4ZhLDBVGZmYmdu/ejRs3bmDjxo0FPqROiukjhvRBH31mUsxcYqgwcnJycPz4cdy8eRPr16+Hn5+foXfJJBljDKWlpWHhwoWiZSNGjFC5b+wPGY65xFBhsD+kHYaKoZcvX6Jnz55CWSKRKBwSv3379pg3bx6qVaumcnumdB1ict5MZGZmYuHChULgjh07VisXovT0dFFZkx+QpUqVEpWVBXP+NmTXKYjs/vCL2/yUL18e/v7+aNWqFby9veHq6oqSJUsiMTERISEhOHfuHA4fPozMzEwAuW8mT5kyBbt27VI69KpsXGsSd+rEtewyxjXlybvZkSc8PBxr164FkPv/fdiwYejZsyeqVq2K7OxsPHv2DPv378fRo0eF6/ulS5ewatUqLFiwQG77RblmA7mxmrePsp0ZZW1o+/wh85WYmIiLFy8KZVtbW3Tt2rXA9RjXZAyqVKmCXbt24dChQ1ixYgWSkpKU1vX19cXixYsLHAKe/Wyioveb1TkXinKNV1Q/NTVV7vzQx/lMiplLDOXn7e2NTp06oXHjxqhZsyacnJwglUrx/v17PHjwAEeOHEFwcLBQ/+XLlxg9ejT27dsHZ2dnjfaN9BND+qCPPjMpZi4xlF/VqlXh7++PFi1aoGbNmnBxcYGVlRXi4+Pxzz//4OTJkzh9+rTwYkpMTAzGjBmD/fv3c5j7QjDGGFq8eDFevXollGvUqIFRo0apXIf9IcMxlxjKj/0h/TJUDEmlUtFLjrIsLS0xZMgQjB49Wq1RgUzpOsTkvJlYv369MAdC9erVMXr0aK1sNyMjQ1TWJJhl68puS9FyTX88qNsGmabvv/8eTZs2RYkS8peqsmXLomzZsvjkk08wcuRITJo0Cc+ePQOQ+4bx9OnTcfr0aYUxpeu4zhtqpTDbV7cNMk2yNznybn7Y29tj27Ztcomcxo0bo3HjxmjTpg1mz54NiUQCANi5cyf69OkDX19fUf2ixLZsfdk41kYbjO3i7cSJE8KDVADQuXNntd7oYVyTMQgLC8P333+Pq1evFlj3yZMnGDBgANq1a4elS5cqHUaN/Wwi/fSbtfk9Aij+LuH3iOGYSwwBgJOTE/bu3YuGDRsq/NzDwwMeHh7o0aMHLl++jK+//lp4WCwiIgLLli3D6tWrNdo3Mp/f7/roM5Ni5hJDebZu3YrWrVsrnJ6xQoUKqFChAjp16oThw4djypQpePv2LQAgISEBs2fPxt69e/W9yybP2GJo+/btOHr0qGj7q1atKjBZx/6Q4ZhLDAHsDxmKscVQHolEgl27dmHv3r0YOnQopk+frnLfTOk6pP64hmS0nj59iq1btwrlJUuWaGWINED+aZGsrCy1181/A17RthQt12T7mrRBpqlly5YKE/Oyqlatih07dqBSpUrCsqioKGGaB1m6juuibF/dNsg0Kbs2f/PNNyrfsPz0008xdOhQ0bL81/082ow9da7ZmrbB2C7ejhw5IiqrM6Q9wLgmw7t69Sr69esnJOatra0xePBg/PHHH7h16xb++ecfXLlyBYGBgfjkk0+E9S5fvow+ffogLCxM4XbZzyaS7xvpIk613TdX1J/j94jhmEsMAbkP7Cq7ES2rXbt2CAwMFP1ePnHihPDAOqlPHzGkD/roM5Ni5hJDedq0aaMwMS/Lz88P27ZtQ5kyZYRl9+7dw+XLl3W5e2bJmGLo5MmT+PHHH0XLli5dirp16xa4LvtDhmMuMQSwP2QohoohT09PPH36VPj36NEj/PXXX9i0aRP69u0La2trYX+2bduG8ePHy7Wlql1jvg4xOW/iJBIJvvnmGyHI+vTpg+bNm2tt+3Z2dqKyJk/PytaV3Zai5Zo+jSJ7wihrg8yfq6srZs2aJVp28uRJhXVl40STuFMnrouyfYBxbc4UzXPj7u6Ozz77rMB1x4wZI3RIACA4OFh4kz5PUa7ZsvXVuWYD2j9/yDyFhYXh4cOHQtnd3R0tWrRQa13GNRnS69evMWnSJGFoNAcHB/zxxx9YtGgRmjRpAgcHB1hbW6Ns2bLw9/fH5s2bsXjxYmH9+Ph4jB8/Xm5oNYD9bCJAvm+kaZzqo28u24ai/pw+zmdSzFxiqDCaNGmCfv36CWWpVIpTp05pZdvFiT5iSB/00WcmxcwlhgqjRo0aGDNmjGjZiRMnDLQ3pstYYujatWuiURsBYObMmWo/WM/+kOGYSwwVBvtD2mEsMVSyZEmUK1cO7dq1w/Lly3Hw4EFUrFhR+PzKlStYv3690vVN6TrE5LyJ27Vrl3Cz28nJCbNnz9bq9mUDUJN5p2TrqnPTMD09XZhXWZttUPHQpUsX0RDJ9+/fV+tmuCbzh6gTczY2NrCysirU9gH5eckZ1+ZD0Y24du3awdKy4K9jNzc3+Pn5CeXk5GS8ePFCVKco12yJRCLqeKmbxNT2+UPm6fDhw6LyZ599ptbbGADjmgzrp59+EsXD0qVLC5xLftCgQRg0aJBQjoiIwO7du+XqsZ9NVLTrL6BenGqzjRIlSih8g0If5zMpZi4xVFj//e9/ReXr169rbdvFhT5iSB/00WcmxcwlhgqrX79+ot92vA5pzhhi6MGDB5g4caLoLdORI0fKPXyhCvtDhmMuMVRY7A8VnTHEkCI+Pj7YvHmz6IW1HTt2IDExUWF9U7oOMTlvwjIyMrB27VqhPHv2bLi4uGi1jfLly4vK7969U3td2brK5tvM30Z2djZiY2O13gYVDyVKlEC9evWEcnZ2NmJiYuTqycZ13vxY6lA35sqVKyf8HR0drdHN8OjoaLXaINPj6uoq6kwAQK1atdRe38vLS1SWjZWiXLNjY2ORnZ0tlNW5ZgO6OX/IvEgkEgQFBYmWafLUNOOaDOXDhw84d+6cUK5SpQq6du2q1rqyNyDyz7eXh/1soty+Uf5hKDW5/gLq9ZuLcq5JpVJRG7Lb0kYbPNeKxlxiqLDq1q0r+n3x77//anX7xYE+Ykgf9NFnJsXMJYYKy9XVFZUrVxbKMTExGg+HXNwZOoaePXuGMWPGiJJx/fv31/glQPaHDMdcYqiw2B8qOkPHkCq1atVC9+7dhXJGRgYuXbqksK4pXYeYnDdhmZmZogvewoUL4evrq/Lf8OHDRds4cuSI6PP58+eLPq9Ro4aorMmFTfYElt2WsuWanPiy+6OsDSo+XF1dReWEhAS5OkWJucLE9cePHxEXF6d2G4xr82VtbY0qVaqIljk6Oqq9vmzdpKQkUVmb1+zq1asrrKeP84fMy9WrV0Wd9MaNG8udB6owrslQHj16hJycHKHctGlTtUd8qFSpEjw8PITy8+fP5YZIYz+bKHfYwvznyrt37zR6qDV/nNrY2MDd3V2uTlHOtffv34sSDOp+j+jifCbFzCWGCsvS0hJOTk5CWdHvX1JNHzGkD/roM5Ni5hJDRSF7L07ZG42kmCFj6PXr1/jqq69E/8+6deuGpUuXqr2NPOwPGY65xFBhsT9UdMb+XdaqVStR+enTpwrrmdJ1iMl5M5KTk1PgP9n5iaVSqcrPPT09ReWQkBC19+fx48eisrJglm3jyZMnarchW5df3CQ7jL2iIQOLEnOycS27rTyysahJG/nPMwcHB5QtW1btdcn41axZU1SWndNXFdm6svGtzWu2stjWx/lD5uXIkSOisqZzjTGuyVBkH6zT9Ps4f32JRCJ3k5L9bKJc+WMrIyMDL1++VGu9lJQUvH79WihXr15d4QM05cuXR5kyZYSyJuea7Hmg7veILs5nUs4cYqgo8g9Hrs0h84sTXceQPuijz0zKmUMMFYU69+JINUPEUHR0NIYPHy4aXatdu3ZYtWqVWtMvymJ/yLDMIYaKgv2hojPm7zI3Nze5NhUxpesQk/OkkpeXFxwcHITyvXv31F43f10rKys0atRIYb3GjRsrXU+VjIwMhIaGCmVvb2/RvlLx9ObNG1FZ0VQPjRo1EnUQNInr+/fvC387OTnJJVrzNGnSRFRWt42IiAhRMkB2O2T6mjVrJirLDvujiuzwOs7OzqKyo6OjaJj8J0+eyL2pqYxsjDZt2lRhPX2cP2Q+UlJSRMOC29raolu3bhptg3FNhiL7gz7/j311yN6klJ2vjP1solyF7Tc/fPhQNLqFqn5z/nPh/fv3cr8ZlLl7966orOx7RB/nMylnDjFUWAkJCfjw4YNQln17ldSjjxjSNX30mUk5c4ihwpJIJKI3E62trdlvLAR9x1B8fDyGDx+OqKgoYVmzZs0QEBAgNx2jutgfMixziKHCYn9IO4z5u0w2Ga/se8aUrkNMzpswBwcHPH36VKN/O3fuFG2jT58+os9XrFgh+rxEiRL45JNPhPLbt2/x4MGDAvctOjpadLO6YcOGCpOkQO6cIPnngrh48aJaPyDOnTsnGh7O39+/wHXIvL19+xbPnz8Xyq6urqK53/Mvr1+/vlC+d++eWgnSe/fuiZKj7dq1E83Fkl+bNm1EHZHTp0+rdQyy9RjX5qdTp06ipwdlb9gpI5VKRddVKysr+Pj4yNXr2LGj8HdWVhbOnz9f4LY/fvyIy5cvC+VKlSrB19dXYV19nD9kPk6ePClKaP7nP/+Bvb29xtthXJMhyPZdw8LC1F43KytL9OR4yZIlRW9dAuxnE+XJf40HdNNvlm3j1KlTarVx5swZ4e9SpUqhdevWCuvp43wm5cwhhgorODhYVFb0+4AKpo8Y0gdd95lJOXOJocK4e/cukpOThTKvQ4WjzxhKSUnBqFGjRG/F1q9fHxs3bizSG8fsDxmWOcRQYbE/pB3G/F0mOxpVxYoVFdYzpesQk/NUoK5du4rKu3fvLnCdvXv3iobIl91GfhYWFujcubNQTk5OxvHjx9VqI78uXboUuA6Zt8DAQNFcKK1bt1Y6hEr+mMzJycG+ffsK3P6ePXuUbkOWvb092rZtK5RfvnyJGzduqNx+VlYWDh48KJRLliwp96VIpq9ChQqiJ++uXr0q90a8IleuXBE9je7n56cwyVmYa/axY8dEP6YLup7q+vwh83H48GFRuW/fvoXaDuOaDKF27dqiB+1u3rwpGq5PlfPnzyMtLU0oN2jQQGE99rOJcoc99Pb2FspXr15FRESEynWSkpJw8uRJoezm5qbyTU9/f3/R+XzgwAHRAyiKXL9+HeHh4UK5Xbt2ciNg5Kfr85mUM5cY0lRWVhY2b94sWtamTRutbb840UcM6YM++sykmLnEUGFs2LBBVOZ1qHD0FUMZGRkYN26caPhmHx8fbN68GaVLly7k3v//2B8yHHOJIU2xP6Q9xvpdlpGRgWPHjomWyc5Bn5+pXIeYnKcC+fv7w8vLSygfPXoUt27dUlo/PDwcW7duFcply5ZF//79VbYxatQolCxZUiivXr0aCQkJSusfOXJEtA/+/v58IsqMZGZmqj2nSZ6DBw9i//79QtnCwgLDhg1TWn/AgAGiIW62bNkiunEi6+bNmwgKChLKvr6+6NChg8p9Gj9+vKj83XffqZxf/NdffxW9Zff555/zSVEzNXnyZOHv7OxsLF68WNQBkJWamorvv/9etGzo0KEK6/r6+qJdu3ZC+datW3JzfucXHx+P//3vf0LZxsYGX331lcr918f5Q6YvIiJCNDJEpUqV0KJFi0Jti3FNhlC6dGk0b95cKH/8+BHLli0rcL2EhAT8+OOPomXKHrZjP5vMlbe3t+hfQfL3myUSCRYvXix66FbWihUrRENXjh49WuXIJW5ubqJz5fXr19i0aZPS+rLnu4WFhVzfXpY+zufipLjFUHR0NBITE5V+LksikeDbb78VjRxXtmxZ9OjRQ+1tmDtjiyF90EefuTgpbjGUmJio0bR7APDzzz/jypUrQtnGxgaDBg3S9q6ZLGOLoezsbEydOlXUP6levTq2bdsGR0fHAvdPHewPaVdxiyH2h7TPmGIoMzNTNH2eOiQSCRYtWiR6Ya1+/foq54M3lesQk/NUIEtLS8yYMUMoS6VSTJgwAdevX5er++TJEwwfPlw0XOakSZNgY2Ojso0KFSrgiy++EMpxcXH48ssvERkZKVc3KCgI33zzjVC2trbG1KlTNTomMm4ZGRno2bMnZsyYgStXriA7O1tp3djYWCxZsgQLFiwQLe/duzfq1q2rdD07OztMmDBBKH/8+BEjRoxASEiIXN2rV69iwoQJoi+i6dOnK30rP4+fn5/oqfMXL15g1KhRiI+PF9WTSCTYtm0bfvnlF2FZmTJlMHbsWJXbJ9PVsmVLtG/fXihfvHgRM2fOVNgBff36NUaMGCFKEtarV0/lvN3Tp08XdYQWLlyo8E3JN2/eYNiwYYiLixOWffnllwqng8hPH+cPmT7Zt+Y/++yzIv1/Z1yTIUycOFFUPn36NKZMmaL0DfqHDx9i8ODBonn33NzcMHDgQIX12c8mytW1a1fUq1dPKF+7dg2zZs1CamqqqF5mZiaWL1+OQ4cOCcvc3d3VSgSMGzdO9DZPQEAAduzYIfeAZHx8PEaNGoUXL14Iy7p3717gMM/6OJ9JOVOPoUePHqFjx45YuXKl3LCdskJCQjB8+HDRMQDAjBkztPpmfnGjjxjSB133mUk5U4+ht2/folOnTvj2229x584dlcmY169fY+rUqVi/fr1o+ahRo0RTKpFmdBlDUqkUc+fOxaVLl4RlHh4e+O2337Q6Pzf7Q4Zl6jHE/pDh6TKGMjIy0Lt3b0yZMgUXL15U+RIjADx48ABffvml6EFDS0tLuTyQLFO5DllIVX3Tktn5+++/8eWXXwrlPn36yM0zr8xPP/0kN0RI48aNUa9ePVhaWuLp06e4du2aqPPWq1cvrFq1Sq3tZ2ZmYsSIEbh9+7awzNraGu3atUONGjWQlpaGW7du4enTp6L1li1bxifqzExycrJo+BN7e3vUrl0bNWrUgKOjI6ytrZGUlITQ0FA8ePBAbjjBJk2aYPv27aK3xJSZMWMGTpw4IZQtLCzQunVreHt7Izs7Gw8fPsS9e/dE64wbNw7Tp09X+1gGDBggSqza2tqiY8eOqFy5MhISEnD9+nXRG/NWVlb49ddfRcPik/lJTEzE559/LoqN0qVLo23btqhWrRqysrLw7Nkz3LhxQxTjLi4u+L//+z9UqlRJ5fb37NmDxYsXi5bVrl0bTZo0gY2NDcLCwhAcHCx6+KVZs2bYtm2baMhOVXR9/pDpkkql8Pf3FyUoz549iypVqhRpu4xrMoQ1a9Zg48aNomUlS5ZEs2bN4OXlBTs7OyQmJuLevXuiof2A3L7s5s2b0bJlS5VtsJ9N+hYVFYX//Oc/Cj/LyckRla2srBTW27FjB5o1a6bwM9m3MmRjS9k+9e/fX5QocnR0RMeOHVG+fHm8f/8ely9fFj0cY2dnhz179qg9usOlS5cwfvx4UTK1WrVqaNGiBZycnBAREYGLFy8iIyND+LxmzZrYt2+fwumEFNH1+WwsGEPajaFz586JHggrW7YsfH19UblyZZQpUwZSqRRxcXF48OABnj17Jrf+yJEjMXv2bLWOwVgUxxjS9THn0Uef2RgwhsSKeswhISHo3bu3UHZycoKvry+qVasGBwcHWFpaIiEhAf/88w8eP34s92BSt27dsGbNGpN6YLk4xVBUVJTcaF6WlpYa//9yd3fH2bNnC6zH/hBjSBlVMcT+kJi5xZBszsfW1hY+Pj6oWbMmHB0dYWtri9TUVLx79w6PHj3CmzdvROtbWFjg+++/R79+/Qo8BsD4r0OGHW+JTMqMGTOQkZGBXbt2Ccvu3LmDO3fuKKzfvXt3tYb+zFOyZEkEBARg6tSpuHnzJoDcOUPOnTunsH6JEiUwY8YM3jAsBlJSUnDr1i2Vw4/kGTx4MObMmaNWYh4Ali9fjpycHJw+fRpAbkLpypUromG58lhYWODLL7/EtGnT1N53BwcHbN68GZMmTRKGbUlPTxclfvKzs7PDkiVLmJgvBpycnLBlyxZMmTJFSOakpqYKsahIjRo18OuvvxaYmAeAQYMG4cOHD1i3bp1w0yUkJEThW8AA0KJFC6xbt06jmzG6Pn/IdP3999+ixHzjxo2LnJgHGNdkGHlvoG3YsEH4cZyZmak0LvK4uLhgxYoVBSbmAfazSf+kUqnczR5llNXT9nP+7u7u2LRpE6ZMmSJ8hyQlJcmNxJLH2dkZq1ev1mjahfbt22P58uVYvHgx0tPTAQCvXr3Cq1evFNavXbs2fvnlF7UT84Duz2djwRjSXQwBuSPEXb58ucB6NjY2mDt3rsHfuC2M4hhD+jpmffSZjQFjSLWiHnNiYiKuXbuGa9euqaxnZWWFCRMmYPz48SaVmAeKVwwp2k9V0ysqo+5/L/aH5DGGcqn73wtgf0iWqceQrPT0dNy7d0/uBRhFypcvjyVLlmg0naSxX4c4rD2pzdLSEt988w02bdqEBg0aKK3n5eWFH3/8EWvWrEGpUqU0asPFxQW//fYb5s2bh8qVKyvdj1atWmHPnj0YOXKkRtsn02BjY4Nx48ahYcOGaiXZ7ezs0KtXLxw8eBCLFi3SaNiRUqVKYd26dVi5cqVoLhJZDRo0wKZNmzB//nyNf2xUrlwZBw4cwIQJE1C2bFmFdaytrfGf//wHhw4dQq9evTTaPpkuDw8P7Nu3DzNmzIC7u7vSeuXKlcPXX3+Nw4cPa5TgHDNmDHbv3o1WrVrB0lLxV37lypUxf/587NixA05OThrtvz7OHzJNsnNb9unTR2vbZlyTIUyePBkHDx5Er169Cuzfurq6YuzYsTh+/Lho3ldV2M8mylW3bl0cPXoUQ4cOVTpvpa2tLXr37o1jx46hdevWGrfRu3dvHDp0CJ06dVKaiCpbtiwmTpyI/fv3w8PDQ6Pt6+N8JuVMNYa8vb0xePBg1KxZU2n/Rnb7Y8aMwZkzZ0zyRrQx00cM6YOu+8yknKnGUIUKFTBixAjUqVNH5ZzTeRwdHTF48GAcP34ckyZNUvpGJ2nOVGMoP/aHDMtUY4j9IeOhixgqXbo0Vq5ciZ49e6o9BYqvry8WLFiAkydPapSYB4z/OsRh7anQIiIi8PjxY8TExCAnJwfly5dHrVq15IbKKCypVIpHjx4hPDwcMTExsLGxQfny5VG/fn3OX1SMZGdnIzw8HK9fv8a7d++QmpqK7OxslClTBg4ODkLMaetHwNOnT/H8+XNER0fDysoK5cqVQ506dVC1alWtbD8nJwd3797Fmzdv8P79e5QuXRoVKlRAo0aN4OzsrJU2yDTlv+bFxsbCwsICLi4uqF27tsZPHioSHR2NBw8eIDo6GhkZGShXrhyqV68OPz8/Lex9Ll2fP0SyGNdkCJmZmXjy5AnCwsKQnJyMjIwMlC5dGs7OzvD19UWNGjWK/MAG+9lEuefa7du3ERUVhfj4eDg6OqJixYpo0qSJaN7vokhISMDdu3eF3xlubm6oXLkyGjVqpLXfF7o+n0k5U42htLQ0vHjxApGRkXj//j3S0tJgYWGBMmXKwMXFBXXq1FH6kBVplz5iSB/00WcmxUw1hjIzM4XrUExMDFJTUyGRSODg4AAnJyd4e3vD09OTDynrganGkCz2hwzHVGOI/SHjoasYiomJQVhYGCIjI4V7K3Z2drC3t4eHhwfq1KkDBwcHrR2HsV2HmJwnIiIiIiIiIiIiIiIiIiLSMQ5rT0REREREREREREREREREpGNMzhMREREREREREREREREREekYk/NEREREREREREREREREREQ6xuQ8ERERERERERERERERERGRjjE5T0REREREREREREREREREpGNMzhMREREREREREREREREREekYk/NEREREREREREREREREREQ6xuQ8ERERERERERERERERERGRjjE5T0REREREREREREREREREpGNMzhMREREREREREREREREREekYk/NEREREREREREREREREREQ6xuQ8ERERERERERERERERERGRjjE5T0REREREREREREREREREpGNMzhMREREREREREREREREREekYk/NEREREREREREREREREREQ6xuQ8ERERERERERERERERERGRjjE5T0REREREREREREREREREpGNMzhMREREREREREREREREREelYCUPvABERERUPUqkU4eHhCA0NRUJCAj58+ABLS0vY2dmhbNmyqFy5MqpVqwY7O7sit5WSkoJHjx4hMjISHz58QEZGBuzs7GBvbw93d3dUqVIF7u7uWjgqIiIiIiIiKm46duyIqKgoAIC7uzsuXLhg4D0iIiIiU8HkPBERUTGT/yZCUa1fvx6dOnVSWSc8PBy7d+9GUFAQEhMTVda1srKCp6cnGjRogLZt26JVq1awt7dXa1+ys7Nx/Phx7Nu3D/fv34dEIlFZ38nJCXXr1kXz5s3xySefwMfHR612iIiIiIiIiIiIiIgKg8l5IiIi0omcnBxs2LABGzduRFZWltrrPHv2DM+ePcP+/fvRqVMnrF+/vsD1nj59irlz5+LJkydq719iYiKuXLmCK1euYPXq1Th69CgT9ERERERERAamzgPllpaWsLe3R5kyZVCtWjXUqVMHHTp0QKNGjfS0l0RERESFw+Q8ERERaZ1EIsGcOXNw7NgxhZ9XqFABzs7OsLa2RlJSEmJjY5GWliZXTyqVFtjWo0ePMHz4cKSkpMh9Zmtri0qVKsHe3h7p6elITExETEyMwu2o0xYREREREREZnkQiQXJyMpKTkxEVFYWrV69i06ZN8PLywqJFi9CkSRND76JJ4TD9RERE+sPkPBERUTE3Z86cQr8xrmy9TZs2ySXma9WqhVGjRqFDhw5wdHQUfSaRSPDixQvcvn0bZ86cwa1bt5CTk1Ng+8nJyRg7dqwoMW9tbY2BAweib9++qF27NiwtLUXrJCYm4tGjR7h8+TLOnDmjNFlPREREREREpuXZs2cYOnQovvnmGwwZMsTQu0NEREQkh8l5IiKiYq5OnTpo3ry51rYXGxuLjRs3ipb17dsXy5Ytg5WVlcJ1LC0t4eXlBS8vLwwePBjR0dH4448/8P79e5VtBQYGIi4uTig7OTlh8+bN8PPzU7qOk5MT2rZti7Zt22LBggW4ePEitm/fDgsLCw2OkoiIiIiIiPRB0QPlOTk5SE5OxrNnz3D69Gm8evVK+EwikWDZsmWoUqUK2rZtq+e9JSIiIlKNyXkiIiLSqjNnziA9PV0oe3l54bvvvlOamFekfPnymDFjhso6EokEQUFBomXffvutysS8LAsLC3Ts2BEdO3ZUex0iIiIiIiLSH1UPlPfo0QPTpk3Dtm3bsGrVKmG6MolEgpUrV6J169Zyo6kRERERGRJ7JkRERKRVV69eFZX79euHEiW0/zxgaGio3FvzXbt21Xo7REREREREZLwsLCwwcuRIfPXVV6Llz58/x927dw20V0RERESKMTlPREREWhUdHS0qV69eXSftvHv3TlSuUqWKRm/nExERERERkfkYN24crK2tRctu3LhhoL0hIiIiUozD2hMREZFWpaamisoSiUQv7eTk5OikHSIiIiIiIjJ+Dg4OqFu3Lu7duycsi4iIMMi+xMXF4fbt24iMjER2djacnZ3h6emJBg0aFOmh8qysLISHh+PFixd4//49UlNTYWtrCycnJ9SoUQO+vr46GbmOiIiItIff1ERERKRVZcqUEZXv37+PDh06aL0dBwcHUfnFixdITU1F6dKltd4WERERERERGb8KFSqIygkJCXptPzw8HKtXr8b58+cVPqju5OSEcePG4YsvvpB7y1+Z+Ph4nDp1CpcuXcLt27eRlpamtK6dnR26d++OMWPGoGrVqiq3O3fuXBw+fFhueVRUFLy9vZWu16dPH6xYsUKtfSciIiJ5HNaeiIiItKpWrVqi8t69exEZGan1dmrWrCkqf/z4ET///LPW2yEiIiIiIiLTIJVKRWULCwu9tX369Gn07t0bZ8+eVTqCXGJiIlasWIFJkybh48ePBW4zKSkJbdu2xdKlSxEcHKwyMQ8AaWlpOHjwIHr27IlDhw4V6jiIiIhIt5icJyIiIq1q166dqJyYmIj+/ftj3759SE9P11o77u7ucg8C7NixA1OmTEFoaKjW2iEiIiIiIiLTEB0dLSq7ubnppd1Lly5hxowZyMjIAABYW1ujWrVq8PPzg7u7u8L6q1atKnC7OTk5yM7OFi2zsrKCh4cHateujfr166NGjRooWbKkqE5mZibmzZuHI0eOFP6giIiISCcspLKPExIREZFZ69ixI6KiooTynDlz4OPjo/F2XFxcFK6Xk5ODHj16IDw8XO4zW1tbtGjRAo0bN0b9+vXh6+sLe3t7jdvOExQUhK+//lrhZ56enmjVqhXq168PPz8/VKlSRa9vTRAREREREZHmZH+z7ty5E82bNy9wvaSkJLRu3RpZWVnCsoULF+KLL77Q6T46ODjAwsICSUlJqFChAqZMmYIuXbqIfuu+evUKy5cvx6VLl4RllpaWCAoKknvoPL/4+Hi0bNkSdevWRefOndGmTRvUqlVLLhmfnZ2NW7duYcuWLbhy5Yqw3M7ODidPnkTFihXltv3ixQvExMQAAL7++mu8f/8eQO4DDaoeHChXrpzcSHZERESkPibniYiIihnZGx2F5e/vj8DAQIWfhYaGYtCgQQUOuWdpaQlPT080bdoULVq0QLt27WBjY6PRfsyZM0ettwEcHR3RoEEDNGvWDO3bt+fNBCIiIiIiIiNU2OT8ypUrsW3bNqFsZWWFixcvonz58jrfRwCoU6cOtmzZAhcXF4Xr5OTkYOzYsfjrr7+EZcOGDcP8+fOVtpORkYHQ0FA0aNBA7X1bv369aMq3UaNGKX2oPU/+43F3d8eFCxfUbo+IiIg0w2HtiYiISOt8fHywd+9eVK9eXWU9iUSC58+fY/fu3ZgyZQratGmDZcuWIS4uTu22fvjhB4wbNw5WVlYq6yUlJeHy5ctYtWoVevTogQEDBuDcuXNqt0NERERERETGRyqVYtu2bdi+fbto+eeff66TxLwi9vb2CAgIUJqYB3IfFpg3b55oWXBwsMrt2tjYaJSYB4CJEyeiSZMmQvnw4cMarU9ERES6VcLQO0BERETmydvbG8eOHcPBgwfx+++/48WLFwWu8+HDB+zatQuHDx/GkiVL0LNnzwLXsbKywvTp09GrVy9s3LgRf/75pzDPnyoPHjzAxIkT0aZNG6xevRpOTk7qHBYRERERERHp0ePHj5GTkyNalpOTgw8fPuDp06c4c+aM3LRqDRs2xOzZs/W2j59//rnCueVleXp6wtvbG0+fPgUAREREIDU1FaVLl9bq/nz66ae4ffs2ACAuLg4RERGoWrWqVtsgIiKiwmFynoiIqJhTd4jAwrC2tsagQYMwaNAghISE4K+//sLt27fx4MEDJCYmKl0vJSUFM2fOREJCAoYOHapWW56enli1ahUWLVqE4OBg3Lx5E3fu3EFYWJjcjZz8rly5goEDB2Lfvn1M0BMRERERERmZlStXql23RIkSGDhwIGbPnq3xlGlF0b17d7Xr1q5dW0jOSyQSREdHo0aNGlrdHw8PD1H5yZMnTM4TEREZCSbniYiISC9q166N2rVrY8yYMQCAyMhIPHz4EDdv3sS5c+cQGxsrt86KFStQr149jYbxs7e3R/fu3YWbI+np6QgNDcXt27dx9epV/P3335BIJKJ1Xr16hblz52Ljxo2FP0AiIiIiIiIyGBcXF2zcuBH169fXa7vW1tbw8fFRu77s0PcpKSlqrZeVlYW//voLV69eRWhoKN68eYOUlBSkpaVBKpWqXDchIUHt/SMiIiLdYnKeiIiIDMLDwwMeHh7o3r07vv32W5w+fRqrVq3Cv//+K9TJzs7GunXr5OYO1IStrS0aNmyIhg0bYvTo0Xj79i0CAgLwf//3f6J6Fy9exJ07d9C4ceNCt0VERERERESGER8fj5EjR+Lnn39Gq1atlNZ78eIFYmJi1NpmzZo1Ua5cOZV1HB0dYWVlpfZ+2tnZicoFTcsmlUpx8OBBrFmzBnFxcWq3k9+HDx8KtR4RERFpH5PzREREZHCWlpbo3r07WrZsiSFDhiAsLEz47Nq1a4iNjUXZsmW10lbFihXxww8/oG7duliyZInos6CgICbniYiIiIiIjIiiqdhSU1Px5s0bBAcHY8eOHULS+sOHDxg/fjx27doFPz8/hdvbsmULDh8+rFbby5cvR9++fVXWKVWqlFrbUkbVW+8SiQRz5sxBUFBQkdrIzMws0vpERESkPUzOExERkdFwdnbG0qVLMWTIENHyO3fuoGvXrlpta/DgwThz5gxu3LghaoeIiIiIiIiMW+nSpeHj4wMfHx/069cPX331FUJDQwHkvok+ffp0HDt2TO4tdVMTGBgol5i3t7dHs2bNUKdOHVSsWBEODg4oWbIkrK2thTqhoaFYuXKlvneXiIiI1MDkPBERERmVJk2aoGzZsqI56KOjo3XSVrdu3UTJeV21Q0RERERERLrh6uqKjRs3onfv3khMTAQAREZGIiAgAHPmzDHszhXB+/fvsXnzZtGysWPHYuzYsShdurTKdXNycnS5a0RERFQETM4TERGR0XF3dxcl5wuag68o7eSXnp6uk3aIiIiIiIhIdypWrIivv/4aCxYsEJbt2rULQ4YMgYeHh6juihUrsGLFCn3vosbOnz8v+i08cOBAzJgxQ611k5KSdLVbREREVESWht4BIiIiIllpaWmisrOzs07akU3G66odIiIiIiIi0q2+ffvC29tbKGdlZSEwMNCAe1Q09+/fF5UHDx6s9rrPnz/X8t4QERGRtjA5T0REREYlJSUFr169Ei2rWLGiTtp69OiRqFypUiWdtENERERERES6ZWlpiSlTpoiWBQUFISoqykB7VDRxcXGicvXq1dVe9++//9aoLQsLC+FvqVSq0bpERESkGSbniYiISKuOHj2K+Pj4Qq//+++/IzMzUyjb2NigadOmcvXCw8Nx+fLlQreTlJSEQ4cOiZa1adOm0NsjIiIiIiIiw/L394ePj49QzsrKwq+//mrAPSo82SR5VlaWWuuFhITg3r17GrVlZ2cn/M3p3oiIiHSLyXkiIiLSqoMHD8Lf3x+rV6/W+A2F48eP45dffhEt69KlC2xsbOTqxsTEYMyYMRg4cCDOnTuH7OxstdtJSkrChAkT8P79e2FZiRIl0LNnT432l4iIiIiIiIyHhYUFxo8fL1p26NAhvH371kB7VHhubm6i8p07dwpcJycnB0uWLNG4LUdHR+HvxMREpKSkaLwNIiIiUk8JQ+8AERERGdbjx4+Rk5NTqHVdXFxEbyXkSUtLw6ZNm7B582Y0a9YMnTt3RuPGjeHt7Q1LS/GzgRkZGbh58yZ2796Nixcvij6zs7PDzJkzVe7D/fv3MXHiRLi6uqJHjx5o2bIlGjZsqHD++Ddv3uDUqVPYvn273Nv9Q4cO1WiYQCIiIiIiIjI+Xbp0Qa1atYR517OysrBp0yYsWrTIwHummUaNGolGe1u3bh2aN2+u8OF1IDcxP3/+fI3fmgeAmjVr4tatWwBy39j/888/0bdv38LtOBEREanE5DwREVExt3LlykKv6+/vj8DAQKWfS6VS/P3338J8dzY2NnB1dRUS58nJyYiKilL4cICtrS02bNiA8uXLq7UvcXFx2LlzJ3bu3AkAQjv29vZIS0tDdHQ0kpKSFK7bsWPHAh8CICIiIiIiIuOX9/b8jBkzhGUHDx7EuHHj1P59aQw6deqE5cuXIzU1FUDug/VffvklFixYgPr16wv1srOzcf36daxZswaPHz8GAHh6eiIsLEztttq0aYM9e/YI5cWLF+Px48do2LAhHB0dYWVlJXxWrlw51KxZs6iHR0REVGwxOU9ERERaVbduXTx48AAfP36U+ywjIwNRUVEFDnfv6+uLpUuXol69ekrruLm5oVq1anj16pXCz+Pi4hAXF6eyHWtra4waNQoTJ06EtbW1yrpERERERERkGrp164aAgACEh4cDADIzM7F582Z88803Bt4z9Tk7O2PChAlYtWqVsOzBgwcYMGAA3NzcULFiRXz8+BH//vuvaBj6GjVqYObMmZgwYYLabbVv3x7Vq1cX/nt9/PgRv//+O37//Xe5un369MGKFSuKcGRERETFG+ecJyIiIq2aM2cOrl+/jrVr16J///6oVq2aWuuVLFkSHTp0wNq1a3Hw4EGViXkg902AM2fOICgoCNOnT0fr1q1hZ2enVlseHh4YN24cTp06hWnTpjExT0REREREZEYsLS0xbtw40bIDBw4gNjbWQHtUOKNGjcLAgQPllr9//x6PHj3Cs2fPRIl5Ly8vbN++Hfb29hq1U6JECQQEBKBKlSpF3mciIiJSjW/OExERFTMXLlzQeRulS5dGt27d0K1bNwC5w9eHh4cjIiICiYmJSE1NhZWVFUqXLg0nJyd4enrC09OzUElyb29veHt7Y9y4ccjJyUFkZCRevXqFd+/e4cOHD8jMzISdnR1Kly6NSpUqwcfHB66urto+ZCIiIiIiIjIin376KQIDAxEREQEgdyS3rVu3Yu7cuQbeM80sXboUjRo1wi+//II3b94orOPq6oovvvgCo0aNQsmSJYVj1kStWrUQFBSEU6dO4dKlS3j69Cni4uKQlpamcCo6IiIiKhwLqVQqNfROEBERERERERERERGRYlKpFCEhIXj8+DESEhIglUrh4uICLy8v1K1bVzQvPBERERkvJueJiIiIiIiIiIiIiIiIiIh0jHPOExERERERERERERERERER6RiT80RERERERERERERERERERDrG5DwREREREREREREREREREZGOMTlPRERERERERERERERERESkY0zOExERERERERERERERERER6RiT80RERERERERERERERERERDrG5DwREREREREREREREREREZGOMTlPRERERERERERERERERESkY0zOExERERERERERERERERER6RiT80RERERERERERERERERERDrG5DwREREREREREREREREREZGOMTlPRERERERERERERERERESkY0zOExERERERERERERERERER6RiT80RERERERERERERERERERDrG5DwREREREREREREREREREZGOMTlPRERERERERERERERERESkY0zOExERERERERERERERERER6RiT80RERERERERERERERERERDrG5DwREREREREREREREREREZGOMTlPRERERERERERERERERESkY0zOExERERERERERERERERER6RiT80RERERERERERERERERERDrG5DwREREREREREREREREREZGOMTlPRERERERERERERERERESkY0zOExERERERERERERERERER6RiT80RERERERERERERERERERDr2/wAxH0hbQ2JUPAAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 311,
"width": 1011
}
},
"output_type": "display_data"
}
],
"source": [
"pmb.plot_convergence(idata_bikes, var_name=\"μ\");"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "c00e08cf",
"metadata": {},
"source": [
"In the BART literature, the diagnostics of the BART variables is sometimes considered less important than the diagnostics of the non-BART variables, the main argument is that the individual estimates of the latent variables are of no direct interest, and instead we should only care about how well we are estimating the whole function/regression.\n",
"\n",
"We instead consider checking the convergence of BART variables an important part of the Bayesian workflow. The main reason to use `pmb.plot_convergence` is that usually the BART variable will be a large vector (we estimate a distribution per observation) and thus we will need to check a large number of diagnostics. Additionally, the R-hat threshold of 1.01 is not a hard threshold, this value was chosen assuming one or a few R-hats are examined (and chains are long enough to accurately estimate their autocorrelation), and if we observed a large number of R-hat a few of them are expected to be larger than the 1.01 threshold (or whatever threshold we pick) even if there is nothing wrong with our inference. For that reason, a fair analysis should include a multiple comparison adjustment, and that's what `pmb.plot_convergence` does automatically for you. So, how to read its output? We have two panels one for ESS and one for the R-hat. The blue line is the empirical cumulative distribution for those values, for the ESS we want the entire curve above the dashed line, and for R-hat we want the curve to be entirely below the dashed line. In the previous figure, we can see that we barely make it for the ESS and for the R-hat we have very few values above the threshold. Are our results useless? Most likely not. But to be sure we may want to take a few more draws. "
]
},
{
"cell_type": "markdown",
"id": "5daefd3e",
"metadata": {},
"source": [
"### Partial dependence plots"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "99fd44df",
"metadata": {},
"source": [
"To help us interpret the results of our model we are going to use partial dependence plots. This is a type of plot that shows the marginal effect that one covariate has on the predicted variable. That is, what is the effect that a covariate $X_i$ has of $Y$ while we average over all the other covariates ($X_j, \\forall j \\not = i$). This type of plot is not exclusive to BART. But they are often used in the BART literature. PyMC-BART provides a utility function to make this plot from a BART random variable."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "9bb3955d-98d6-40b0-ab1c-10082459f72a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iF9i4cSNuuOGGAQfm+87kt2274uPoG3QYLCsgEokUsgdG8vgj2cdQuru7R3wfam1CiELkt6enh40laUT4+qGBuK5EJguYJuA6qvyMZQO6DsRigKYLmJZAJJIEAKR6U3ztNDjXk9j+JhDaCbS1ATt3CrS3j03vCP7fGXvVnO0/nuemfG0QDY7vD6LB8f1BNLRav0eqnYnK4ECDC4fDmDp1KqZOnYpjjjkGH/nIR/CJT3wCb7zxBgDg73//O37yk5/g0ksv7XffeDxethw0Mq5E3237Plbp+iA4MNKZ/32DA4PtYyj8EKNdIaXka4hGja8fklIFArI5wHMlslnAsgBNAxLxknr0UkL2uR/42mlo0QigaxLpNNDdA7S3STiualQcDo9dZgj/79S/Wv19+NogGhzfH0SD4/uDaGjN8B5hWaEmM2fOHPzsZz9DKBQqrLvpppsGnKXUd7C9b4PiofTddqjgQCCXy43oDVPpPoiIiOqNaUrs3AlkMhK5rER3D2DbQDwOdHSMT6Naqq1QSCCZBDQBpHrVayKVUs2LiYiIiIiI6gGDA01o5syZOPnkkwvL+XweDz/8cL/t+jYs3rp1a8X76LvttGnTBtyudB+O4+DNN9+s+j6IiIjqhetKpFISvb1A3pToSQG5HBAJq6BANMqeAq1E11WAIGQAmbQKDGQyQDrNAAEREREREdUegwNN6ogjjihbLu1TENhvv/3Kll9//fWKHz8oWzTYYw22vu/9htL3eAbbBxERUa1JKZHNSuzsVgPAvb0S6V5VQqijA0gkBDSNQYFWJIRAe7tANKoCRem0RD6vmhY3egoyERERERE1NgYHmtTkyZPLltPpdL9tZsyYUba8fv36ih9/7dq1ZcuDDdz33ce6desq3kffbRkcICKiemTbqmxQNgvksipbwHWBRAJItgvoOoMCBMTjAomEakadSkmYpkRPD+B5DBAQEREREVFtMDjQpPoGA5LJZL9tZs2aVbZ+5cqVFT9+6ba6rmPJkiUDbnfQQQcNer+h5PN5PPfcc4Xl2bNnD/g7EBER1YqUEpmMGuA18xLdKVlWQoh9BaivSESgvQ1wXKCnF7As9fpxXQYIiIiIiIho/DE40KT6zrqfPn16v20Mw8DRRx9dWH7jjTewatWqYR9727ZteOaZZwrLixcvxsSJEwfc9sADDyzrO/DQQw/BNM1h9/HAAw/Atu3C8tKlS4e9DxER0XixLNVwOJtV5YRSKUBIIJlUJYTYV4AGEwoJJNsBeEBPCoUMAsdhgICIiIiIiMYXgwNNKJ/P46677ipb17cHQeCkk04qW/7tb3877OP/7ne/g+d5gz5GKSEE3v3udxeWU6kU7r777or2UerEE08c9j5ERERjzfNUP4FUqthwOG8CsRjQ0SFgGAwK0PAMQ6C9HRAC6E0XMwgYICAiIiIiovHE4EAdsyyrrLROJTzPwxVXXFHWzHfhwoWD1utfunQpZs2aVVi+4447sGzZskEff/PmzbjxxhsLy1OmTMHZZ5895DFdeOGFCIfDheXvf//72Llz56Db33777WXHsHTpUsyZM2fIfRAREY0105To7gbyeYl02m84LICOJBCLMShAI6PrKoNAE0DKLzHU3aN6WBAREREREY0HBgfqWD6fxxlnnIHPfe5zeOihh2BZ1pDbr1q1Cueddx5uv/32wjpN0/DVr3510PtomobLLrussCylxKc+9Sk8+eST/bZdt24dzj///LKyQJ/5zGcQjUaHPK5p06bh3HPPLSy//fbbOO+88/Dqq6/22/bOO+/E1772tcJyKBTCxRdfPOTjExERjaUgW6C3V2ULdPeoprLxOJBMsuEwjZ6mqQwCQ1cZBLalslEYICAiIiIiovFg1PoAaGhSStx333247777EIvFMGfOHOy///7o6OhALBZDJpPB1q1bsWbNGrzyyitl9xVC4KqrrsLChQuH3Mdxxx2Hiy66CD/72c8AqNI/559/Pg466CDMnz8fmqZhw4YNeOKJJyBl8cvqaaedhnPOOaei3+PSSy/F6tWrsXz5cgDAxo0bcdJJJ+GYY47Bfvvth2w2i2XLlmHDhg1l97viiiswe/bsivZBRERUbaYpkcmoci/ZLGBZgBECEnEwKEBVoQIEEr1pFSBoa5PoSQl0JCVCIb7GiIiIiIho7DA40EByuRxWrlyJlStXDrttV1cX/uu//gvHHXdcRY992WWXIZ/P45Zbbimse/rpp/H0008PuP3JJ5+Mq666qrIDBxAOh3Hdddfh4osvxlNPPQUAsG0bDzzwwIDbG4aByy67bNiSRUREUkq4LuA4gOcBjgt4LiABSA8IYppCqAsEoGvqZ11XF8PgQC+V8zyJdAawTMC0VGBASiCRACIRvlaouoQQaG9TAYI0AwRERERERDROGByoY4lEAtdccw0ee+wxLFu2DNu2bRv2PnPnzsWZZ56J973vfWhra6t4X5qm4Wtf+xqOOuooXH/99XjmmWcG3G7WrFm48MILcfrpp1f82IGJEyfi5ptvxq9+9Sv8+te/7pfpEBzHYYcdhksvvRQLFiwY8T6IqDXYtoRtq1ncjgsVCQDguhKeB3hSBQqC9VL6gQEAEICmqQCBpqlZuwAghEQopAIFoRA4INfCmC1AtRAECNIMEBARERER0TgRsrRODNW17du348UXX8Srr76KVCqFfD6PeDyOtrY27LHHHpg3bx6SyWRV9vXyyy9j7dq12L59O1zXRVdXF2bOnFm1Ej9SSqxZswabN2/G9u3bEY1G0dXVhYULF6Krq6sq+wAwZONjooEIIdDZ2QkA6O7uBv9F1g/HkTBNIJ9Xg/2eJ2E7gGOrAIFbEiQAAAhAoCQoAHW/vn9Soal634YB6AYQMtTrQAggFAbCISAcLgYRhsLXT2MbKFsAUvUWGPNsASHQkewAAPSkevq/UKllSKkCBLYDtLcBobBAZwdgGAO/Bvl/Z+xNmDChao81nuemfG0QDY7vD6LB8f1BNLRav0eqeW4KMHOgoUydOhVTp04dl33tvffe2Hvvvcfs8YUQWLBgAbMDiGhYpimRzQGuowZvTVM1g3Uddbumq8H9sD/rX/MzAoQYfDDX81SGgesWL0HQAQB0Q6rHswDLn7FrGBLhsAoUDDZIR43LNNWArOtKZLKAbakMkjizBWicCSHQ1lbsQdDeJtHTI9DRIfm/h4iIiIiIqorBASIiqkv5vEQupwbuLVvCzKuZtICa3R9NjL5XgKYJaJq6fynXlXAcwLZLggVCBQpCYbU+mxXQDYkIAwVNwfNUUMCyVLZAJqMyTthbgGqp0IOgVwUIku0SqZQKEDBYRURERERE1cLgABER1RXLH6B1XTVYm8sDnqMaB8djlZf4GQ1dF9B1IBJRy4XeBjZgpYGMAEKGRDiiyhllswK6LhGJqONiXfDGks8HrzVmC1D9EUKgvV0FCFK9KkAQZBDw9UlERERERNXA4AAREdUF11UDtZalBuUzORUUMEJAor02A++hkFCDxf7xWZY6vkxJoCDIKNA0FSjQdQ+RKAfu6pnjqNeabTNbgOpbUGIoVZpB0KuaFI9VkJSIiIiIiFoHgwNERFRzwQxux1H9BWxLZQq01ygoMBBdF4jFgFhMBQpsWwUKshkgC78nQQSIZVQ5pHRaIhKRLD1UR6RUfxvVwyJ4zamsj3h87DJSiHaFpvUpMSSKJYaG6q1CREREREQ0HAYHiIioZkrrvedNiWy2MWZwB+WHotGSQIENZLPAzh0SobCEaUrYtprdaxgS0agqV8TBvNqw7aDhMJDLqXJVmgDa2oBwmH8Tqm+6rkoMpVLFDILetECyvdZHRkREREREjYzBASIiqgnHUQNdpSVeGnEGd2mgwJNALCoKpWoAIBRSPQkcRyCdAaIRFShgNsH4CPoJWGZ5uapIRL3WGKyhRlEIEPQC6TQgBJDRJNra+BomIiIiIqLRYXCAiIjGXT4vkc4Aji3RmwYgm2MGt6YJRKPq4rpqQNq0gHQvIDSJaARwHSCfV9kEMb/BMgeoq6+0hJDnqqwUyy9XlUwyOEONyTAE2hIqCyaTkQBUr5POzlofGRERERERNSIGB4iIaFxl/Jr8QRkhQ1dlhHS9uQZrS3sU2LaEaQG5PJDL+dkEUZVNIAQQi6nsgmZ7DmrF9F9brgvk8ur1JqAyBaJsFk0NLhwWSCRUdpKmSUAImKas61JsRERERERUnxgcICKicSGlyhKwTBUgMM3WKe0SCgmEQoAXk35/BZVNoOkqKOB5QDYrEI5IxKL104S50dh2scmwZasAgecC4QgQjzVWuSqioUQiAq6rAl+6IZFKMXuAiIiIiIhGjsEBIiIac1Kq/gKWpcoJ2VZrzuJWZYdUfwLbVgGSXFZlE0TCUg1qmyw5NFKOUywbFPzsOIBhAG0sIURNKh4Xqql7BujslOhJAQISmlbrIyMiIiIiokbB4AAREY0pKSV6etRgeG8v4LjN0V9gVwXZBK7rZxPkAdMsLzmkaUA0qhoYc9Z7f44jkc2pbBTXVT/bFqDpfI1Ra0gkAC8N9PaqoICZB5JJyaAiERERERFVhMEBIiIaM6WBgVSvKvHS3sayOaWC3gTRaDFIEJQcikZV3fxsTiASVtkEnAWvXk+5nMoUcF2pAisWoAmVkRKJMOOCWoMQAm1tgJRAb0pCCNWsuL291kdGRERERESNgMEBIiIaE0EpobLAQDsHtwcjhEAkoga2bVsNeGczQDYLRCMSrgOYLVxySEoVPMnlVMkgx1HPkWVBNXX2yzW10nNCBKisokRcoKdHIm+qdbouEY/zvUBERERERENjcICIiMZEb6/qMcDAwMiVlhwyTVVuKJ8vLzkkBBCLqYbGut68z2vwHOTzqnGzZUuYecC2AU1jpgARoP63trUBqV4gp0kAKpDI0lpERERERDQUBgeIiKjqenslTFP1GHD9UkIMDIycrgvE4yoIYJpA3iyWHIpE1GB5NisQDqvlZskmCLIETFNlBkipZkSbFuA5gK6rWuvN8vsSVUMkokqU5bKAbkj09gp0dsqmDh4SEREREdGuYXCAiIiqKptVA9npjGo+zB4Du04IgahfNicoOZTLqhI74ZDqTWBZKpsgGlWBgkYMxlhWMSggpfpdTROwbAASCIWARDtfT0SDicUEHFv1HdCTEqlegc4ONigmIiIiIqKBMThARERVk89LZLMqQGBbanY3B3Krq7TkUDCQnkoBmiERCalMjVxOQDckImE1u75eAwVSSti2yg6wLJUJUfi9LFWOStNUP4FwuLnLJxFVSyKhygv1ZoAOTSKdFmxQTEREREREA2JwgIiIqsK2JdIZIG+qme2xmCpzQWND11UJkVisOOM+l1fZBKGQRDgCOLYqO1RPgQLHUQEB2y5mBATrLBtwHQACCIeASJzBJaKR0jSBtoTq95LOqIbdqpE530tERERERFSOwQEiItplrqv6C9iWyhyIRMCBqHEUDguEw4DnycIs/EwayAggZKhAgW2pQUMhJEJhNfhuGGMbLPA8CcdB4WLbqlyQlBK2o4IXlq0yBCCAkAFE2UuAaJcZhkAiLpHJALm8BIRAKCRrHhwkIiIiIqL6wuAAERHtEin9wIAt0ZtWA87xeK2PqjVpWrE3QVCex7ZVoABQTUrDIcCwAMufkS+E9IMEqtGvrqtSPppW2QC950m/HBAK18HF89Q2QTDA9QMEjgtAjVeqQEVM9RNgQICoeiIRAceRKpvIkEilVINiTeP7jIiIiIiIFAYHiIhol6TTfmAgA2gCaEtwkLcelJYdct1iKZ9cHoAEICQMXQ3Kazqga/2zCISQ0LRgwb+Wava/J/3HKSGlVIEBT2UDOEGQwA0eTwUhYlG1X85iJhpb8bjK2ulNAx1J1X8gmaz1URERERERUb1gcICIiEbNNCVME8hk1ABwsh2clVqHdF1A11VGAaCCOUGpn3xeDfYDAISEpgMaVOaArgfrSx7M31ZKlRkgJeBKPwBQEiwQQt0/ZABGNMhM4GuDaDwJIdDWJpFKqf/Tmgbkcuw/QERERERECoMDREQ0Ko6jygiZfjPcRIIzwRtFKCQQChWXXVeWlQTyPHVxHL9HAOBnGxTjBEJTmSJCAIYO6KFiOSJVmoivBaJ6oOsCiYREOq0CA+w/QEREREREAQYHiIhoxKRUgQHHVg0vw2FV35oaU5BZUBowIKLmEQ4LRKMSuTwQCkn09qr+AywBR0RERETU2rThNyEiIiqXzarAQDqrZoonErU+IiIiGkospnqLpDMq8yudrvURERERERFRrTE4QEREI2LbErkckMupOvNsQExEVP9U/wFVMiydAUxT9Y0hIiIiIqLWxeAAERFVTEqJ3l4VIMjngViUfQaIiBqFrgsk4oBtqX4xvWnVc4SIiIiIiFoTgwNERFSxtD+QlM4AhgHEYgwMEBE1kkhEIBwBMhnAdVTAl4iIiIiIWhODA0REVBHTlDBNNaAkJfsMEBE1qkQc0ETQfwDIZpk9QERERETUihgcICKiYUkpkckAli1hWWpgSdeZNUBE1IiEEEgkANcBcjmJbFaViyMiIiIiotbC4AAREQ0rk1HlhDIZwAipshRERNS4QiGBWEw1l7dtiXRaBYKJiIiIiKh1MDhARERDCpoPZ7N+OaF4rY+IiIiqIRYTMAwgkwUcRwWAiYiIiIiodTA4QEREg5JSzSZ1HNVvIBZlOSEiomaSSACepwLA+TxgWcweICIiIiJqFQwOEBHRoHI5wHWBdBbQdTXLlIiImoeuC8RjgGmqvjLpNOB5DBAQEREREbUCo9YHQERE9cl1JbI51azSc4BkstZHRET1IJeT2LET2LHDv+wEUikgnQHSaXXJZIDeNGBZgOcCrqcCja6rZqkLAUQiKhspEgWiESAaVbPYJ00CpkwGJk8CJvvXEyeqGvk0NqJRAcv2+8roEpmMQHt7rY+KiIiIiIjGGoMDREQ0oEwWcB2JXF4N4hkGB+aImp3rSuzsBt58E9j+proOLtvfUsGAbLY6+8pmK38sTQN2my6x157AXnsB++8PzJwBdHTw/1K1JOJAT0r9TTQNiEQkwmE+v0REREREzYzBASIi6seyJCwTyOYAASAWq/UREVG1ZDISr74GvPoasH17eRDg7R2A49T6CPvzPBSO+Yl/FNd3TZWYNw84cB4wfx4wZQoHs0dL1wUScZU9oMoLCXR2Smgan1MiIiIiombF4AAREfWTyQC2LWFbqswHB4eIGo9lSbz0EvDiZuCVV4FXX1WD6zt21PrIqmfbdnX520NqeY89JA5eAhx8EHDAHDZQH6lIRMC0VIAgZLC8EBERERFRs2NwgIiIyuRyEq4LZHKqCXEkwsE1onrnuhKbXwJefBF4wb9seUXV+B8r8bjqBTBxAtDZAbS1A20J/+L/rEqSAboGaLr6n6JrqgdBPq+a4OZN9XM+D/T0AG+9Dbz1FvD22+rnfL7yY3rVD4LcfifQkQQOP0ziyCOAuQcwUFCpoLxQJhP0hmB5ISIiIiKiZsXgABERFXieRDYL5E3VhJgzRonqk2VJPP8CsHadumzYOLJB9OGEQsCUKaox8NQp/s9TVHPgSZOACZ1ALDb2A8ZSSqTTwOtvqGDHy1uATZuAFzepwMJQelLAvX9Vl0mTgOOPlTj+WGD6dA50D0XXBeIx9VkQlBeaMEFCCD5vRERERETNhsEBIiIqyOdVgCCXA8JhIBTiYBBRPXBdiRdeBFY+A6xeA2x8ftd6A2gaMH0aMH16cfC/9LqjA3UxGCyEKmszux2YPau43nUltrwCrFsPrHkWWLsW6E0P/jhvvw384U/qMv9Aife+BzjkYGYTDCYaFbDs8vJCbW21PioiIiIiIqo2BgeIiAiAnzWQUwEC6bEJMVGtvfW2xMpnigGB9BCD34MRAthjd2CffYA99wD22APYc3dg2rTGDv7pusC++wD77gO89z0qWPDii8DyFcDyp4FNmwe/75pn1WXyZODkkyROPAFIJBr3uRgrQXmhXK5YXqiRXzNERERERNQfgwNERAQAyGYBz5XI5VWdcM6oJRpfUkpsfN7F3x7y8NRy4KWXRv4Yu00H9p+hLjNmAPvtOz7lf2pN1wVmzQJmzQI+eA7wxlaJJ54EHnt88OfxrbeAX/0a+OOtwEnvljj1vcCECc3/XFVK1wVi0SCTTJUX6uxkeSEiIiIiombC4AAREcF1ZaEpKMCsAaLxYtsSz64F/rlMYvnTPXjrLVnxfTUN2GdvYO5cYN4BwAEHAJ0dHLgFgOnTBM46EzjrTGDTZom/PQQ88hjQ29t/22wWuPV24J6/AKecLHHm6UBbG59HQAWWLEsinVWNpXM51YiaiIiIiIiaA4MDRESETBZwHRUgiEUBTePAGNFYcV2JNc+qWe3/fKq0XNDwgYE99wAWLwIWLAAOmM1yOJXYb1+B/fYFzjtX4vEngD/fCzz/Qv/tTBP4023AX+4Dzjxd4pSTWyPrYjiJBJBKAbmcBIRAOCxhGHxeiIiIiIiaAYMDREQtznEkLD9rQECVFCKi6vI8iXXrgb8/Djz5D1XLvRJtbcCC+SogsGghMGUyB2VHKxwWOO5Y4LhjgY0bJW67E/jHPwHZJyaTzQK/+T/g7j8DZ5+lehK0cq19wxCIRlXJuXBYNSfu6Kj1URERERERUTUwOEBE1OJyOTWT2bSYNUBUba+/IfHQw8BDj6ga95WYPg049BB1mTOb/T/GwqxZAl/+AvDa6xK33g489DDgeeXb9PQAP/8FcNc9wEUXSBy8pHX/DrEYYFlAJgPoOmCaEpFI6z4fRERERETNgsEBIqIW5jgSZknWQDRa6yMianzZrMTjTwJ/ewhY/1xl95k1Ezj6qCiOPCKMzs5ecNh1fOy+m8BnPwW873SJ3/4/4PEn+m+zbRtw1beAQw+RuOCjQNfU1vvrCCEQj0uk04BpSYi0QCgkGUwmIiIiImpwDA4QEbWwXE6VOwmyBoTgQA/RaEgpsWEDcN8DwBNPqvr1w9l/BvDOI4AjjwCmTNXQkVSdwHtSon+tGxpTu+8u8MXLgLPOkPjN74CnV/Tf5qllwDOrVKmhM05rvVJD4bDwywoBIUOVF2pvr/VRERERERHRrmBwgIioRbluedYAew0QjVw6I/HIo8Bf7wde3jL89nvvBbzzSHWZPq21BpcbwX77CXz9K8C69RI33wJs2Fh+u2WpfgQPPQx8/EKJRQtb628YiwGWrQLLmgZEo7LlgiRERERERM2EwQEiohYVZA3kTfYaIBoJKSWefx64737gscfVgPFQkkng6KOA448F9tuX77NGMPcAgauvknj4UeDmX/VvIP36G8B/fgM44V0SHz0PiMdb4++q6wLxmEQ2C0QiEumMwITOWh8VERERERGNFoMDREQtKAgK5PNqmVkDRMPLZiUeeUwFBV56aehtNQ04eAlw/PHAQYtbrwRNM9A0geOPBQ49WOK3vwPu/Wv/psX3PwA88wzwmU9JLFzQGn/jaFTANCXSWcAwgFxOIhZrjd+diIiIiKjZMDhARNSC8nlA+gGCaIRZA0RDeeEFifvuBx79+/C9BLq6gBPfBRx/HNDZyfdVM2hrE/j4hcDS4yX+9+f9Sw29+RZwxZXAe06UOO9ctMRAeTwO9PYCubwEhEAkwubERERERESNiMEBIqIWI6VELsesAaKh5HISj/5dZQls2jT0troOHHoIcOIJwIL5DLY1qxn7qVJDf70fuOmW4v/QwF/uA1Y8A3zu0xLz5jb3ayAUEghH1GdJJKzKCyXZnJiIiIiIqOEwOEBE1GLy+WJZoXBY1ZAmImXTJpUl8Mhj/Qd/++qaCpzwLmDpccCECXwftQJNEzjpRGDxIonrrgeeXVt++7ZtwNeuAM4+S+L9Zzf3/9d4DLAtIJtVZbRsNicmIiIiImo4DA4QEbWQIGvAtADpqUbERK0un5d47HHgr/cDz78w9LaaBhx6MHDiu4GFC5gl0Kq6ugSuvELiL/cBv/p1ebkpKYHf/xFY8yxw2SUSUyY352tE0wRifnNix2FzYiIiIiKiRsTgABFRC7Es1VAzbwKhUHPPaiUazksvSfz1AeDhR9Xs56FMmayyBN51PDBxIt83pAbH3/seYMkiiR//BFj/XPnt658DLvuCChAsXtScr5mgOXGGzYmJiIiIiBoSgwNERC0kmwMsW8JzgATrQ1ML6ulRvQQeehjYtHnobTUNOHgJ8O53A4sXMphGA5s+XeCq/5K44y7gN/8HuG7xtt408I1vAR/6gMT7zgCEaL7XUNCcOG9KCDYnJiIiIiJqKAwOEBG1CNuWcB0gn1MNVFkbmlqFbUs8vVIFBJY/XT54O5BJE4F3LVWXZi0JQ9Wl6wLvOwM4cK7E964Ftm8v3uZ5wC2/AV54UTUrbraZ9aGQQDisygtFwhLZrEBbW62PioiIiIiIKsHgABFRi8jlVF1oxwESiVofDdHYcl2JNc8Cjz8B/OOfagb3UIQAliwGTjwBOGgJswRodGbNEvjBdyX++yfAP54qv+3JfwCvvApc/kWJ3XdvrtdXLAZYtvqcEQKIRiUMo7l+RyIiIiKiZsTgABFRC3BdCcsC8nlVKiUcrvUREVWf60qsXacCAk/+E0ilhr/PpInA8cepLIGuqRzMpF3XlhD48hcl/nSbKjMkZfG2V18Fvng5cPFnJN5xaPO83nRdIBaVyOWBcFgikxHo6Kj1URERERER0XAYHCAiagH5POB5EpYNxKLNWfe6EkGQxLIA21GBEkNXZZYMw182Wvf5aUSplMTKZ4CnVwArV6na58MJh4HDDgWOOxZYMJ9ZAlR9Qgj8y/uAGftJfP9aIF2SuZLNAld/BzjvXIkzT2+e/zfRKGCaKnvAMADTlIhEmuN3IyIiIiJqVgwOEBE1OSkl8nk1aAMAkUhtj2esSCnR0wO8vAV49TXgzTdV3e+3dwA9KTWLPJut7LGiUYlEXDXaTCT8a385XrK+dF0iDsQTgK5LxGNj+7u2MtuWePFF4JnVKiDwwovlM7OHMmc2cPyxwJFHAIkEBy1p7C1eJPC9ayS+/V3gpZfKb/vVr4Gt24CPX9AcJXiEEIjFJDIZ1fg+m1W9CJol+EFERERE1IwYHCAianL5vBo8zZtqxrSmNcdATT4vsWEj8NwGYMMG4IVNlZWRqeyx1eXtHSO9pwTQDSFUDe7SwEFHBzBxIjBxQvn15ElAPN4cf5OxkM5IbNgArH9OXZ5/QWV+VGr/GSoYcMThLBtEtTGtS+Cab0pc/1PgkcfKb/vr/SqI+cXLZFMErCIRAdNUzYnDIZVFEI/X+qiIiIiIiGgwDA4QETW5fB4wLQnpAdEGzxrYtk3iqeVqxvizawHHqfURDUxKlaVQaaZCe5vElKlAl3+ZOgWY2lX8uVVKc+RyEi+9DLz4IvDiJnV55dXKMwMC++2rAgJHHqEGZolqLRIRuORzEvvsA9x8S/ltz6wCLv868PXLJaZMafzXazyuArW5vMoaiEZl0wSliYiIiIiaDYMDRERNzLIkXFcFCAwDDVm6oqdH4u9PAI8+BmzYWOujGRu9aXXZtGng2zs7ZTFo4F9P8X+eMrnxgge2LfHGVtWc9ZVXVRmozS8Br7028kAAoEplLZwPLFkMLFkCTG2CAVZqPkIInHk60DVV4trryjNgtmwBvnQ58NXLJfaf0divX8MQCEckcjkgGlHlhdraan1UREREREQ0EAYHiIiaWD4POI6E66ga+Y1k40aJe+4FHn9iZBkC4TCw5x7A9GlqAH3KZKBzApBsB5JJNZAcCQNGCPA8wHUA1792XMC2gXwOSPsz/7MZdZ3JFrMBMpk+y1lVPmM0A9uV6O5Wl8GCIx0dsixgMHWyHziYEpQtGt+mp1JK9PYC29/0L9v9HhBvAq+/DryxVT33u2KvvYBFC4CDlgBzDwBCocYeUKXWccThApMnSXzzGqCnp7h+Zzfw1f8A/v2LEosXNfbrORZVwY9cDhBC9XFpxOA0EREREVGzY3CAiKhJua6EZalGxJqmBs3rnZQSy58G/vAnYOPzw2+vacCM/VSj2dmzgRn7qkFxXR//QSjPk8jlBXQ9iUxGYtv2XmQzEpkskEmrgb8dO4GdO/1rv1FyNfT0qMvzLwx8ezgMTOiU6OwEJnQCEyaoQEk8DsRj5Y2WQyE1mCcAQPg/CxU0yeWAbE5d57JALg/09hb3311ybdvV+d0AdUwz9wcOmKMuc2YDbW0caKTGNWuWwHe+JfGNq1UGTcA0gW9+G7jsYokjDm/c17iuC8SiErk8EPGzB5LJWh8VERERERH1xeAAEVGTMk012G5aahbneM4cHykpJZY9Dfzu94OX1gm0twOHHAwcvARYsABoq5MmnpomkEgIdCQ1AMCkSUL1Jx6CbUu8+RawbZuaXb/9TfXzNv/n0lnFu8Ky1GNu216dxxtLmqYyP2bMUIGf4MLMAGo2XV0C375K4prvAWueLa53HOB7PwQ+nZNYenzjvu6jUZW9ls0Buq7+3/F9TERERERUXxgcICJqQlKqes95E4Cs76yBTZskbrwJWLtu8G1CIeCwdwDHHAUsWtiYvRMGEgoJ7DYd2G36wLfn87JQlicY3H8zKNPzlmr62cgmTgT22B3YYw8VENhvX2CfvRuvhwLRaLW1CfzHVyX++3rgkceK6z0PuO56IJuTOPW9jfl+EEIgHpfIZFRgIJ0RmNBZ66MiIiIiIqJSDA4QETUhy1L1701TBQZqUWZnOKleiVt+DTzwt8Fr9U+ZDLznROBdS4Fksv5+h7EWjQrstSew154D357LqcyDIICw/c3y4EF397gebj+aBkya5DdSDvohTPUDArsDiTrJ+iCqpVBI4OLPSsTiwL33ld924y+BTEbi/WfXd/bXYCIRgXxeIptTQV7TlAz+ERERERHVEQYHiIiaUC4HWLaE5wKReK2Ppr8nnpT4n58PXjZnt92As88Cjn5nfQY26kUsNnTwwDQlurtVn4Od3eoSLKczxYbKpY2Vg+bPUpYHbXQdiMWKl7h/nYgDnZ1ARwfQ2VG87pwATJrIvx9RJTRN4N8ulEjEgT/dVn7b736vmqB/7HzZkAGCeFz1JjEtCT0rEA435u9BRERERNSMGBwgImoyjiPhOH4jYr2+arX39Ejc8L/AP/458O1TJgMf+iBw1JEcVK6GSESgqwvo6tr1x5KSA3pEY0kIgQ9/CIjHJW75Tfltd90DuC5w0QWN9z4MhQSMkCp1FwmrPgSxWK2PioiIiIiIAAYHiIiaTj4PeJ6EbavZ3fVi9RqJH/5YzVrvKxoFzjoTOO0U1puvV402IEnUqM46U9Xq/9+fl2fv/PleFfC9oAEzCOIx1SMlb6pjj0Yb73cgIiIiImpGDA4QETURKSVMU2UNAPXRiNh1JX73e+CPtw7cW+CQg4F/uwiYPIkDRUREAPCeE1WA4EfXqebEgbvvUb08PnpeYw2uG4YqJ6SyByRyOYF4HZa8IyIiIiJqNQwOEBE1kUIjYgsIh1Qd61pK9Up87wfA6jX9b+tIAhddABx5BGelExH1dcxRAoYu8f1rywMEd94FGDrw4Q81VoAgFgOslMpuExoQjcqaf0YREREREbU6BgcaTHd3NzZu3IiXX34Z3d3dkFKio6MDu+22GxYtWoT29vaq7GfLli1Yt24dtm7dCs/z0NXVhZkzZ2LWrFlVeXwAWL16NV566SVs27YNsVgMXV1dWLBgAbqqURybqEXVUyPiLa9IfPPbwLZt/W9bvAi4+DNAZycHhoiIBnPkEQKuJ3Htj8sDBLferpqEf/CcxgkQ6LpQWQN5IBKRyGYF2tpqfVRERERERK2NwYE653keli9fjvvvvx//+Mc/sHHjxkG3FULg8MMPx/nnn49jjjlmVPt79NFHcf3112PlypUD3j579mxcdNFFOPXUU0f1+FJK3HLLLbjllluwZcuWfrdrmoYjjjgCl1xyCebPnz+qfRC1qnpqRPz0Conv/kDNEC2l68CHPwicdmrtsxqIiBrB0e8U8DxVYqi0NNsf/qT+p57z/tod20jFYiqzLZ9Xn1OxmGTzeSIiIiKiGhJSDlQBmurFu9/9brz88ssjvt973/teXHnllWircEqWlBLf/va3cfPNN6OSl8Qpp5yCq6++GuERFDTv7u7GJZdcgieffHLYbUOhEL7whS/g/PPPr/jxB7JzoM6nREMQQqCzsxMACtk5jSKdlshmJbp7VPPHaLQ2Ay4PPiTxkxvKZ7kCwIRO4MtfBObMbuKBICHQkewAAPSkegZuskA0EL52aBgPPiTx39f3f2l85MMC55/XCaAxXju5nMoe6EgCsbhAsr3+PxMmTJhQtccaz3PTRj6nIRprfH8QDY7vD6Kh1fo9Us1zU4CZA3Vvx44d/dbts88+WLBgASZPnoxIJIKtW7fiySefxNatWwvb3HPPPXjzzTfx85//HJFIZNj9XHvttbjpppvK1i1ZsgTz58+Hrut47rnn8OSTTxZe8HfffTdCoRC+/e1vV/R72LaNz372s3jqqacK60KhEI4++mjMmDEDmUwGy5cvx4YNGwrbX3311Whvb8dZZ51V0T6IWlk9NCKWUuJPtwG//m3/22buD/z7F4FJbDpMRDQqS48T8FyJn/y0fP3Nt0hM6zJx0onDn+/Vg0hEZQ7k8yrzwYlJGAY/G4iIiIiIaoHBgQax++674+yzz8aZZ56JadOm9bvddV38/ve/x9VXXw3THx186qmncO211+LLX/7ykI/9yCOP4Kc/LX7TTCaT+PGPf4zDDz+8bLt169bhk5/8ZCEIcdttt2HJkiX413/912GP/9prry0LDMyaNQs33HAD9thjj7Lt7rzzTnzlK1+BbdsAgCuuuAILFizAzJkzh90HUSurdSNiKSVu+hVwx139bzvmKODTnwTCYQ7+EBHtihPepUoM3fC/5eu/+4MskkmBefNqc1wjoWkC0Wh574FkstZHRURERETUmlhWqM6ddtpp+MhHPoIzzjgDuq4Pu/0jjzyCT3ziE/D8eh6hUAgPPvjgoE1+pZQ4/fTTCzP2hRC45ZZbcMghhwy4/ebNm3H66acXAhBTp07FAw88MGR2wrZt23DCCScU7jNp0iTcc889g6bB3H777WUBjRNOOAH//d//PcxvPjCWFaKRqnV62Gj19KiSQr29QHv7+PYbkFLixpuAu+/pf9v7zgA+/CE0TMPMXcbSMDRafO3QCNx+h8RNt5SvC4eB//wPgblzanNMIyGlRE8PoBtAe5tAR0dt++QMh2WFiJoP3x9Eg+P7o76UPv99/xQD/WlG8+ca6eNU8yUx3FDBYLcPdb/S2wb/efTnnrV+j7CsUIu59dZbYRiV/5mOOeYYvPe978Vdd6npu7Zt48EHH8QHP/jBAbd/8MEHC4EBADj99NMHDQwAwL777osLLrgA119/PQBg+/bt+MMf/oBzzz130PvceOONhcAAAHz+858f8oV8xhln4I9//COWLVsGALj//vuxceNGzJo1a9D7ELUy15WwbSBfg0bEnifx818Af763fL0QwMfOB059b/0O9hARNaozThfoTkncfkdxnWUB37xa4ptXAvvsXd//e4VQ2QPZLOA4Knugo6PWR0VEREStREoJKVG4qHUDX4r3KbkUVpbf31/V54f+2wywSZ8FGlv+k10aMAiuRfl1cGOwqGkA4EHX1ZhIo8+FZHCgzo0kMBAoDQ4AwJo1awbd9i9/+UvZ8oc+9KFhH/+cc87B//zP/8B1XQDAvffeO2Rw4N57i6OGHR0dOOWUU4bdxwc+8IFCcCB4DAYHiAZmmuoDybaBWHT89iulxI2/7B8Y0DTgc58Bjj26wT8hiYjq2EfOBVIp4G8PFddlMsB/XQV8+5sSXVPr+39w0HsglwMMA7BtWdfZA0RERFQ/PE/C89RAu184o7AcXDwJwL9dov/PlRosiBA8zECz+cvWDTMrf7hsgH53ryR7oP+qET3mUI89ktuHM9qsAYghF8uW+w7w9/1xoEBAv/322UbTAE2TCIUA1wXi8UGOs0EwONCE9tprr7Llt956a8DtHMfBY489VliePn06FixYMOzjd3V1YdGiRXj66acBACtWrMDOnTsHzAZ49tlnsW3btsLyscceW1GD5KVLlyIUChV6Dzz44IP43Oc+N+z9iFpRPq96DUCqwZbx8n//D7inPL4ITQMu/Rxw1Ds5wENENJaEEPj0JyRSKWD508X1O3cC//UN4OqrJDo66vd/sRACsZhEJqOyBzIZAT87m4iIiFqQ66oB/+ASDPz3XR5sQDoYxC8EC0oG6T0PhQFw2SdIEGQBlC0H+9iVwW9RdqV+HmagesDtBtig72MOOIg+3MD7cPus8LaxMvjfuc9yvw0G3rYsKFSS+TFYtsdQWSAqi0Ai2SkgvUF+gQbC4EATymQyZcuDZR88//zz6OnpKSwvXry44n2UBgdc18WKFSuwdOnSftstX768bLnSfUSjUcyZM6eQ9fDcc8+ht7cX7e3tFR8jUSswTXUCZVpAaBwbEd9xl8Tv/1i+TtOAz18CHHlE/Q5GERE1E10X+OLngau+pWPNs05h/etvAN+6BvjGf8q6bgYfiQjk8qq8kGEAllXfx0tERESjI6WE66pZ1sFgv+sBXslyX64rCxkAngfIPgECr2QgXxZG9wdXGET3y8MITV1rWsk6UT6TfLCfS6/7385zmWYmpYTrvx6bBYMDTai0hwAATJs2bcDtXnzxxbLlAw44oOJ9zJs3r99jDRQc2LRpU9ny3LlzK97H3Llzy0oibdq0CQsXLqz4/kStwDTVjEvPAeJt47PPBx+S+OXN5euEAC67mIEBIqLxFokIfPPKBC75fBqbNruF9Rs2Atf9BLj0YjlugePRiEVVOSTblshkBcLhWh8RERERjUZpAMB1AcdVg/+u27eMjtqudNC/EDSAus+AA/0C0ERxMF/X1PdQTSsOzg9+qd9zIWosQggI0VztIRgcaEJ33nln2fJhhx024HZ9B+532223ivcxffr0suXNmzdXtI++9xtK3+NhcIConOdJWJYKEGgaxmW25arVEtf/tP/6T34ceOeRPOEiIqqF9nYN13yrDZ/6bA/eLKkm+djjwPTpwAfPqd2xDScSEcjnJXI5lQFnmhKRCD9PiIiI6lUwuO84KLsunf3veX6gwB/8d0oyBPrOuA4G+DUNCGmAFioO+Jdf8/yAaCwwONBknnrqKTz11FOF5fb2drzzne8ccNvSXgDA4BkGA+m77datW4fdh2EYmDx5ctX3QdSq8nl1YmZaQHQceg1seUXimu+pE79SH/kw8O4TeKJGRFRLkydr+NpXBf79K2qgPfD7PwLTp0kcd2z9/p+OxYB0WmUPZHNiXPvnEBER0eA8T8K2JRxHDfC7Tvn3QdeVZRkCrp8FUDqtOhj413UgHCouBxcO+hPVFoMDTSSbzeLrX/962bqPfvSjSCQSA27ftzfBYNsNpO+22Wx22H3EYjFomlb1fQyFHzI0UqWvmXp//VgWYPslpiNRjGmXoJ07Jb7xTaDv2/CM04Azz6j8fd3s+r5+minVkMYWXzs0WqWvnX321vClz3v4xrdk2ey9n/wUmDoVmDevPj/XwhEBPcgeCAtYFpo2e2A8zy0a6ZyGaLzx/UHUnwoEqAF+CA+OA3R3C1XT31MBAtdTAQLHDwRAFrvuGjqgG0A4rAIBQUCA7zFqNuX9JkRNGjZXE4MDTeQ///M/8dJLLxWW99tvP1x44YWDbp8rnVYGIDyCIq+RPlO6Bhu4L91H3/sMp+/xjCY40NnZOeL7EAU6OjpqfQiDsmwJy5JwXA8TJwAdHWM3QG9ZEpd/rxdvvlWeMnDMUSF89tOJuq5lXUvJ9mStD4EaFF87NFrJ9iSOPQboSZm49sfF8ybHAa75LvCTH7dhjz30Gh7h4GJRiVRKIhYTCIUEOjubM/Bcq3PTej6nIao1vj+oVdm2CgbYjrr2XL+Ej5BIpyUcG5BoUyWD/K+Chg5EwoBhALouoOvwL/xOSK3DdSV27lTTuZLJJJLJxj5vZXCgSfzyl7/EHXfcUVgOh8P47ne/O+SAfD6fL1seSXCg77Z9H2ug9SN5/JHsg6gVmXkJ15OwLaCtbexOxKSUuPa6LNY/Vx4YmDdXx+VfZmCAiKgenX5qBK++6uKPt5qFdaleicu/lsZPftxel19gwmEBw5DIZSXCIcHeA0RERFUkpR8IsItBASn99S7g2IDjqoBAEAjQNJUJEAkLGEYxIEBEzYXBgSbw5z//Gd/5znfK1l155ZU48MADh7xf38CBbdsV79OyrCEfq3R9kD0wkscfyT6G0t3dPeL7UGsTQhRmD/X09EDK+ivuIaXEjh1AJiuRywNGCDCtsTlJu+fPEn+5t/w56JoKfOkLHvJmCnlzkDu2KCFEYdZ3qjdVl68fqk987dBoDfba+cA5Ei9vAZYtL2776mse/uO/evAfXxN1+eXedqTfewDIZAUmdNbHMVZztv94nps2wjkNUa3w/UHNrjwYUCxHKz0J21GlgWwbcDyo/gB+WSAVBBCYOCEJXRdI9aZU0MAFwO9+RACC5tvtAIBUKlVWznM8VDsTlcGBBvfEE0/gS1/6ErySV+LnP/95nHnmmcPeNx6Ply2bZuX/6ftu2/exStcHwYGRzvzvGxwYbB9D4Uke7QopZV2+hkxT1ZLO5yXCIUBAqGkfVfbsWokbf1m+LhoFLv8y0JHEmOyz0ZU+I1JNxanZsVBj4WuHRmuw146uAZddDHzl68Dml4rbrFoN3PJrifPPG9fDrEg4BOiaRDYHhELqc67ZsgdqdV5Rr+c0RPWA7w9qFoUyQUEwQPp9BByVGWA75VkBhgHECyWCSnoDiGKGAM9LiforfUuoz5DaHUs11F9OMVVs1apV+PSnP102I/+CCy7Axz/+8Yru33ewvW+D4qH03Xao4EAgl8uN6KSr0n0QtZp8XvUckJ6q9zgWdu6U+N4P0S8C/rnPAPvs3VwDNUREzSoWE/jq5cCECeXrb78TeOzv9fktJhZTsxktWwUJiIiIaGCuK5HPS6R6Jd5+W6KnB8hkJNIZiUxaortHorsbyKRVYMAwgEQC6OgAOjsF2toEolEBwxBsGkzUwhgcaFAbN27Exz/+8bImvWeffTa+9KUvVfwYXV1dZctbt26t+L59t502bdqw+3AcB2+++WbV90HUSlxXzQaxTEDTgVCo+idxrivxwx8DfSsfnH0WcMRhPGkkImokkycJfPkLakCg1HXXA5tfqr8AQTismhvmcypIYJr1d4xERES1YtsSmYzEzm6JnTuBdBrIpCWyWYmelFqX8Uv0lQUDOgTaEgKRSH2WFiSi2mFwoAFt2bIFH/vYx8pqlr7nPe/BlVdeOaLH2W+//cqWX3/99Yrv+8Ybbwz5WIOt73u/ofQ9nsH2QdRKTFOlrVn22GUN/PFWYPWa8nVLFgEfeP/Y7I+IiMbWnNkCF11Qvs6ygKu/oxoV15tYDHAcNQDC7AEiImplnidhmv2zAzIZid60xI6dEr29KrtcE0A8XpIZwGAAEVWAwYEGs23bNpx//vllM/CPOeYYfPe734WmjezPOWPGjLLl9evXV3zftWvXli0PNnDfdx/r1q2reB99t2VwgEid9JkWAAmExyA48Oxaif/3h/J1kyYCl3wO0DSeVBIRNaoTTxB49wnl67ZvB77/Q5UxVk+C7IGcnz1gWfV1fERERGPJdSVyOYmeHokdO4DeXiCbKWYHdHcD2YzqHxCLAu3twIQJAu3tqkwQgwFENBIMDjSQHTt24Pzzz8drr71WWHfooYfiuuuuQygUGvHjzZo1C8lksrC8cuXKiu9buq2u61iyZMmA2x100EGD3m8o+Xwezz33XGF59uzZZcdK1IpsWzUiNk3ACKHqJ32ZjConVNpnQNOAyy4BkkmeYBIRNbqLPgbMnlW+btVq4Jbf1uZ4hlKWPZAdfnsiIqJG5jhq8L9YLkgiky2WEEqlgFwe0DVVKqizE+joEIjFxJiUmiWi1sHgQINIp9O48MILsWnTpsK6hQsX4qc//SkikcioHtMwDBx99NGF5TfeeAOrVq0a9n7btm3DM888U1hevHgxJk6cOOC2Bx54YFnfgYceegimaQ67jwceeKCs0fLSpUuHvQ9Rs8vn1Umj64xNSaFf3AS8/Xb5ug+eA8yby5NNIqJmEAqp/gMTOsvX334H8PfH62t2fjgsoPnZAw6zB4iIqAkVAgI7/cbBfnZAb1piZzeQ7lW9A8IhPzugE2hrU6WCmNVNRNXC4EADyOfz+MQnPlFWymfOnDn42c9+hkQisUuPfdJJJ5Ut//a3w08d+93vfgevZGpx38coJYTAu9/97sJyKpXC3XffXdE+Sp144onD3oeomUkpYVrq5BCi+iWFli2XePCh8nUL5gPvO6O6+yGi5iSlLLtQ/Zo4ceAGxf99A/Da6/X1t4tFVWDAcSRy7D1ARERNoG9AIMgQ6O1VAYFMulguKJlUvQMSCZUdIAQDAkRUfQwO1DnHcXDxxRdj2bJlhXX77rsvfvGLX6Cjo2OXH3/p0qWYNauYX37HHXeU7auvzZs348YbbywsT5kyBWefffaQ+7jwwgsRLhnJ/P73v4+dO3cOuv3tt99edgxLly7FnDlzhtwHUbMzTQASyJsqMFDNE8PeXonrf1q+LhYDPvsp9hkgakaeJ+G6ErYtYVmqyV0+r2rbZv309XRafUlN9UqkUqrmbXePRHe3+jK7Y6fEjh3Fy86dKLsUbtsZfPlV90+l1GOm02o/uZzav22rY2JgYXzMmSNw0cfK1+XzwHd/AJhm/fwNIpFi9oBtqxJDREREjWawgEAqJdHdo/oHSKkCAh0dxXJBhsHvYkQ09hgcqGNSSvz7v/87Hn744cK6PfbYAzfffDMmTZpUlX1omobLLrusbJ+f+tSn8OSTT/bbdt26dTj//PPLygJ95jOfQTQaHXIf06ZNw7nnnltYfvvtt3Heeefh1Vdf7bftnXfeia997WuF5VAohIsvvnhEvxNRMzJNwLIlpFf9kkI//yWws7t83cfOB6ZM4ckoUaORUg2yW5Ya8M/6M9F6/IH9HTvUl9KeHtXcLp0GMhkgm1PBR8sGbBdw/QRBIVTvEcNQKe2RCBCNqgBiLA7EE+qSaCu/BOtjMbV9JKLur2mAgOptYjuqdm4mo46lpycILqgvy+m0Ch5Ylqy7hrnN4MR3Cxx/XPm6l14CbrypFkczuFhUBQaYPUBERI3EdYs9BAYLCABAPKYCAsmkCgiwmTARjTdj+E2oVl5//XXcdddd/dYdd9xxg9xjYLvvvjvuv//+QW8/7rjjcNFFF+FnP/sZAFX65/zzz8dBBx2E+fPnQ9M0bNiwAU888UTZjL7TTjsN55xzTkXHcOmll2L16tVYvnw5AGDjxo046aSTcMwxx2C//fZDNpvFsmXLsGHDhrL7XXHFFZg9e/aIfl+iZqNm+KoAgaajqg2nnlkl8cij5esOWgK86/iq7YKIxoCa/Y/ixVMp6KUNxeEP7GsC0HV1KV0XDPxXlCEk1KC+8O9Xum4wsuQHKQFPlq4s57qq4bon1e8R/E6WXXIfIWH4v4dhqAu/QO+af7sQeOEFYMsrxXV/vR+YN1fimKPq47kNh1XmQC6v/uaOIzmTkoiI6pLnSZim+t7mOGrShmUDlqkmRUCqz7J4TH2+MUubiOoBgwN1bKDUeq/sW39lXNcddpvLLrsM+Xwet9xyS2Hd008/jaeffnrA7U8++WRcddVVFR9DOBzGddddh4svvhhPPfUUAMC2bTzwwAMDbm8YBi677LJhSxYRtQLTVP8PbFvNoKwWy5L4n5+Vr0skgE/9W3XLFhHRrvE8CcdRA+bBdenpgKYDuuZ/yfR/1rT+A+dCqNu1QlCgONiv+bmkwbrC9lr1/x94ngoESKl+D/WzKAQ6gnUB15VwPcB1AMdVX66DJEZNkzAMIBRisGA0IhGBL14m8YV/Lz6nAHDD/wD77yex++61fz6FEIhGJbJZvyxDTiDZXuujIiIiUqSUsCw/09tS60xLrbP9SQ5BQCAU4rkKEdUfBgcIgCov9LWvfQ1HHXUUrr/+ejzzzDMDbjdr1ixceOGFOP3000e8j4kTJ+Lmm2/Gr371K/z617/GK6+80m8bTdNw2GGH4dJLL8WCBQtGvA+iZpTPA6YFQFa3EfEfbwXe2Fq+7rxzgUmTeMJKVCsqECjh2LIQDCgMlAvA0NX/Ad1QQQBdLw7eCz9DQNPVdpp/ezEQUB/vbU0ThWDEYFR5pCAzQvhNaYvPhedJ2I4KGFgOYPmp+ZouETLUc2QY9fM717M99xT4xMclfnRdcV0+D3zn+8B3rpaIRGr/HEYixb4Djl3royEiIlITrfJBQEDC7+VU/N6m6WpiVzjMgAAR1Tch2fmNBvDyyy9j7dq12L59O1zXRVdXF2bOnFm1Ej9SSqxZswabN2/G9u3bEY1G0dXVhYULF6Krq6sq+wAwZONjooEIIdDZ2QkA6O7urnlzTNuW6OkBelISQgDJ9uqcWL76msQln1eDbYE5s4FvfYPprbtECHQkVbP4nlSPmhpNNAQpVVaA7QjEY0k4DpDqTQGQ0HUgZKhAgCqnE0zpV8tqpnyxzE4rvHeDLArH8RvU+in6QbDAsVUpIukBEKrPQShU/UbudaVK/3f++waJBx4sX3fCUuDTn6yP5627WyIcBhIJMe5B7AkTJlTtscbz3LTezmmI6gnfHzQajqPKBuXz6uPWcVR2d95U5x6an8mpJinUx+fnqPA7DdGQVEnXJJKdAtJNoa1tfPdfzXNTgJkDNIi9994be++995g9vhACCxYsYHYA0TDyeb+khqNK/lSDlBI//d/ywICuA5/4eGsMLhLVUiEYYKMwyA0AQvMb+YaFnwFQHggols1p8C+bu0jTROFLN1D6fApYlno+Eyh+WTdtlVWQyQLhkBpcDoWaOFCwCy76GLDxeWDLluK6+x8E5s2TOPZoPl9ERNSaXLfYR0CVP5Qw/QwBz1GZm6EwEAlXtzccEdF4YXCAiKhOSalOPC0LagZslUoKPfEk8Oza8nWnnwrsszdPZonGQtBUvHSmO4QapI7FVXaAERJItml+GSABXZd+QIDvy6EIIRDyswPicT+DwAYsSwULYlI9/5blBwrS6kt8OCwRifD5LRWJCHzp8xJf+LIKTAf+52fAnNkS07r4XBERUWsI+gjk8+r8LWgsbOb9iR1Cnb/F2zjpgIgaH4MDRER1KqhfmTerVxLDNCVu+lX5uilTgPez9zdRVQUz1y1LzTIDVHmgWBRlg/66Xix7M2mSgK6rC7O3R0fTBCIRVaMeUPWALUvAMFSgwHGK9YBNE9B1WdieX+yBPXYX+OTHJX744+K6XA744Y+Ab31DsmYyERE1NcvyswT872GWLWGZqmRhobFwXJ23MeOaiJoFgwNERHVKzVSRkJ5KU62G2+8E3nyrfN1Hz0NdNJwkanRBIzrb9hvn+tkB0ZiaXaZpoiz1XJUJCpoJCw68joFwWPh16oOawAKGn2VgWuoLfzYLZHNAJCwRjbJp4DFHC6xeI/HgQ8V1GzYCf/gTcM6/1u64iIiIxkJQNiifV+dvA/URYGNhImpmDA4QEdWhoAyJaaoT0mrUr3zzTYk/3Va+7sB5wOGH7fJDE7WsICBgWapXm9D8JrhhIOy/b3VDBQMavjldAxOi2KvA89TfzMgLRMLFskO5vPqfa4Skn+HRun+rCz8GrF0PbN1aXPf7PwKLFkrMmd26zwsRETUHKYsBAccplnM1TcD1ywaF2UeAiFoEgwNERHXINIu1LWPR6jzmr37tlyryaRpw4UdZSoNopAYKCEQi8Gvfi0Id2mAwmrPM6oumCUSjQDSqZgfm8wK6AUSj6n9uLg/09qqSQ9Foa2ZWxWICl31O4t+/5mfBQF3/8EfAD78nEY+33nNCRESNz7Yl8vnyskGmqbI+IQEjBCQS1SvpSkTUCBgcICKqQ2ZJbctqNCLeuFHiscfL1737BGCffXjSS1SJviWDBgoIhEPFdaxD2xgMQ6CtDYjH/SBBXs0StGyJfA7IZIBcLggStNZAwaxZAu8/W+L//l9x3bbtwM9+AVz8mdodFxER0UgEZYNMU/WBCjIGC2WDdJYNIqLWxuAAEVGdsW0J1wXMvJq9sqsnqVJK3HRL+bpEAvjg+3fpYYmaXtC81rKKAYGw3zy4b0CAM8wam6YJxON+LwJTIpcTCIfUayCXV30J8nmVXdBKQYJ/eR/wzCpg/XPFdQ89DBy0WOKdR7bGc0BERI3JNFVQQGV6quxA0y8jxLJBRERFDA4QEdWZfF7NaHEcNYi/q5YtB9atL1939llAMskTYaK+CgEBG/BcAKLYL4ABgdYQiQhEIipQm80KGEZQfqj1ggS6LnDJ5yQu/YL63QM3/C8we5bElCnN/fsTEVFjcZxilkDQXNg0i2WEWDaIiKg/BgeIiOqIlMWZysGMll3huhK/+nX5uilTgJNP2rXHbSZSSnieSjOWUn2R8DxAQqUay8KGfe6oxonVj5r6Wc0slxBCDSwKSGgaS8zUu4ECAuEQEI4XmwqHSgIC/Hu2hlBIoKNDvT5KgwSlmQSxmGz6ngRdUwX+7UKJH/64uC6TAX78E+C//kPy/UBERDUVfH/K54Pyj35zYQvwHNVnjWWDiIgGx+AAEVEdCRqcmlZ1ZrQ88CDw6mvl6879IBAOt+aJseepjAzXReE6aLZZIFTtUQFAE0DwJyj9U5QGDKRUA8oSABwgm5OQHtCbLtlQqCCBrgG6ri6aFly35t+i1mxbwrYZEKDhGYZAMjlAkMDvSZDPS8Rizf1/9ZijBZ5eIfHo34vr1jwL3HsfcPJ7andcRETUuoKsgHxenY/btkS+pLlwKATE25r787mVBZn2tqO+1zmOP8FLFi+QgOdfl078Cm4XonjRBNT3QOFP/OpzW2FZ67OtKH6vC77jMSuFGg2DA0REdUTNeJHwXCAS39XHkvjd78vX7bcfcNSRu/a4jURKddJoWcVgAABAAIbuD/rqatBendTt4omcEOhIapBSQtf94IMfPAiyE0xLnZgGNE1taxjFk0rOaqq+0tdC0FR4oICAYaiAQCTCgACVC4IEpeWGbFsFCdJpwAhJxGNqu2b0bxep3gNvvlVcd/OvgcWLJaZPa87fmYiI6suAWQJ+2SDPLTYX5nlcfXIciVQvkOoBelJAKgX09gLZHJDre8kXf87nVRDAttV3usK5fJ0yDFkIGBi6el0G133XBQEFwyhe61r57YXAwwDryi4aoBt9rvVB1g1xqfRYGQRpHgwOEBHVCddVM5lNU33Y7mpzrD//BdjZXb7uo+c1/4ly8KUhmBUOqWZ4hAwgGgtObIJ0gPKToGDmh1YyW0TT/E1LTn6klP51ycwUfzmZFPA8AccVcJ1imSLXQyGTQErVdNr1ANef6ZLLF28XQkI31DEHgYNm/7uNhWBGkWWpLxTBa6GsqTDUzLJwmF8kqTJBuSHLkshkBUIhwLRUkCCVAsJhlUnQbEG+RELgM5+SuOLK4jrTBK77CXDVf7G8EBERjZ0hswTg94OKs7lwrbiuxM5u4K031SSCN98C3noLeOttdW6USqlgQCZT6yMdH45T6yMYH7ouywIGpQGIYQMZAwU0RhHIKHyXN9T+DEPd1+jzXbpwe6g4Ka/f7UbrBjwYHCAiqhOm6Q9s22rGy65IZyRuvaN83eJFwPwDm/fDzrZVfVHLbzimGep5DIWKM3l1Q315CD78Rzt4F5w09D13EEIgGlUrLUsUggYB1/WDAq4olDZyXBSCAp4nYTtq5lPfgIGmy7KTnmadnbwrpFQBNttG4XkE1N+97LUgigEClgyi0QqHBcJhwDQl9KxAJAzkTYlsFv7/cYlotLm+ZCxcIHDSiRL33ldct249cPefgdNOqd1xERFR82GWQH3J5SRefwN47XXgtdeArVuLgYAdO0oytKllqO+1tT6K6tL979yF4IHRJ7hgFIMLhpHBQQcZeN/pEsVuhI2JwQEiojphmsWZ7rvaiPiOO1WZi1If+sCuPWY9ktKfRWSWf0kIGo4JURwADoVq/8VB1wV0vf/6YIa764pCumwQWHBdCccFHBuwXcAy/TsJ2W9GRK1/v/EW9JAovQDFTJFQTF1rWvlroRr9PIgCkYhAOCyRz6vXVTikfs7l1QBGIi6baibjR84FVq4Etm0vrvv1b4GDlkjsvlvz/J5ERFQbzBKoHSklduwAtrwK7NiRxyuveNi02cNrrwNvv13ro6suIdBvIhfRyAIeDtY86yCbAT73mcb+f8TgABFRHXAcNaPczO/ajHYA6O6RuOue8nVHHAbsP6OxP7BKBTOHgi8NoRAQD+rGCyASDhrJNsbvPFDQIAgYOI4fMPAzDILa+c4A5Yj6ZhfoevMMgruuhOcVf+/SZtLCT2WNJ4Lfvdg/IAgM8QskjSUhBGIxIBJR/Qg0TZUXymZVLd1mKjUUiwl89tMSX7uiuM6ygB//N/Ctb8im+B2JiGh8BVkCuVzQWJZZAmPNcSRefRXY/BKw+WXgpZeAl15WJYDUl4vcmO1bCKCtDehIAsmk+h4Xi/mXaP+fo/7kL8MIMoH7XwdlbYLSsEBpedi+l/JysUGZ2OC7Rd/GxkFT49LroLlxoYSs62d/u8UB5mEvfolZ17+fV7rOKzZZLr09eHxvgHUV7av0epBtaWQ2v1TrI9h1DA4QEdWBfL44GJxI7Npj3XqberyApgEfOGfXHrNeeJ6akZv3Z89H/caxuq6ag8ZizTMrPAgYRCJqOQgK2LYoZBIEJ7COI9UJZJBd4JdWUo2X+zc8rufnJwgC9D1JLczsKWkmrRvlPSR0PQgE1EemCLUeTRNoawOiUYl0Wv1fMi2JTEZlhsVjslB6rJEdOE/glJMl7v5zcd2GjcCddwNnnl674yIiosbiOOrcXpVXBSxbBQWYJVBdUkq8sRV4/nng+RfUZdPm4vNcLaEQMGUyMDm4TAI6O4tBgI4Odd3eVj8TJoQQhWDCQBnerUbKgb+LBZfBghQVBSIqDE4MtC9vsP17xYljhQl0JT+7jio367rVf70Hlh5XH6/lXcHgABFRjQWlcSwLgFAnVaO1Y4fEX+4rX3fsMcCeezT2B5aUxTIdQPnMoUhEBQWavQa/EKIw6B0IAkq2Lcr6FxSyC/wTI9tRX7oCmi4LDaI0rXg91oPpwcnmQBfXv0ZJEEDzm1RFQ6VNrYrNpA29fNYQgwFULwxDoLMTyOclREYgZKiGxdmsamQcjzf+/6xzPwg8vQJ4Y2tx3W9/Bxy8RGLPPRv7dyMiorETnNfnzWDWtMoaYJZA9ZimxPMvAOufA9avBza+0L/k7GgIAUyZAuyxG7DbbsDUqSoYMGUyMHmKCgLU8yQkGp4QojChrNkE30VLs/Bdtxg8cBw12a4suODfHgQagu/Ylg14bhQHHWRgv32ytf7VdhmDA0RENWZZaqaMaanZMbtyEnzrHeURccMA3n92FQ6yhkxTDap5UpULisUATReI+kGBepl1UguDZRc4jlAnOU4xNTS4rTR9NehxUSCkHyQAND/ttjQdt/S6tEZn8HMh/RbFVFvplafjlgkCAMLvDRAELET5wGkQwChvANW6f3dqHNGo6keQyRRLDWWyKmU/FmvshsXRqMDnPiPxla8X/wfYNvDjnwDf/ibLCxERUTnb9rME/AxX05KwgiwBwSyBXZHLSTy7Fli7XgUDXtxU7MU1GtEosPdeOvbaU8eUqTZ2ny6x++7A9Gmq1xJRIyoNfATfn0fL9QDPjSDZKSCboBQTgwNERDVmmiql1nPVCfFo7dgp8df7y9ctPQ7omtqYJ3CuqwbRHFvNCm+Pq8HwSETVpeTAU3+l2QUxf12xaa8oS/kMBuo9TxZn7vupmZ4sXgcD/gAGHNwv7tu/1tRq4f+sG36AwQ80CKEG//uVNxIqSyA4YSu9cNYYNTJNE2hvLy011DwNiw+YI3DaKRJ33FVc9/wLwJ/vBU59b+2Oi4iI6kNQEtQ0g5m5xSwB6anzvHhclYvk+V7lXFfi+eeBVWuAZ1YBG58ffa34KVOAffcG9tkH2Hcfdd3VJTChMwkA6En19P8OQERNhcEBIqIa8jz/BNlUA6e7MkB0+x1+aSKfYQBnva8KBznOCiWEcmomeVu7ajQcDqMpSnGMN01Tz104XFwnpSyp5ygK9RqDIEG1vwAEGQia5gcM/CBBeVkj/l2puYVCAp2dErmcqm0bCqkAaG+vChzEYo2ZRfDBc4BlTwOvv15c95v/A95xqMTUKY33+xAR0a4zzWLZVCklLBsw82o2uxDqvDQS4Xl9paSUeP0NYNUq4JnVwLNrVanCkersBGbuX7zsPwNobx/gb9CA5yNENHoMDhAR1ZBqviVhWqq57mh1d0vc+9fydccdi4YbmHEc1bjT9VTJoGhUZQgkEkxhrSYhRKFEz0CCbAIpyy/9H6f/culFZQrw70YUEEL4MyQlev2GxbmcRC6vyiokErLhBkoiEYFPf0Liq/9RXJfPAz/9X+DrX5H8H0BE1CIcRwUE8nl13hgsB2WEjBCQSKjAAD8bhmfbqlTQsqeBZcuBN98c2f01TWUBzJ0DHDAHmDVLNQjmc09EfTE4QERUQ3mzWPd9V+re3dYna0DXgX9psKyBXE71FtAMINmuZhLF42jY2bSNTNNEodcAEVWfYQhM6ASyWQkIgVBIIp0FUr1ALCoRizXW/7x5cwVOPEHivpLSditWAo/+HTjmqNodFxERjS0piwEBx1ETTMygubCjBqijEfU9hyVBh5dKSTy9QgUDVjyjntdKGQYwexYwb64KBsyZjYY7nyCi2mBwgIioRhxHwnUAywxqq4/u5K27R+Iv95WvO+7Yxuk1UNpbIMgWMEIC7W1MNSai5haPi0IWga6rAGkuB9iORKLBequcdy7w1HJg587iuht/CSxeKJFMNs7vQUREw7Os8qwAy1bLtj/pKRQC4m1AOMz//8N57TWJfy5TAYENG1WZz0rttSewcAGwcCEw7wAGA4hodBgcICKqEdNUs2tsB4jHht9+MLffWZ41oGmNkzVg2xLpNABR7C3AbAEiaiWGIdDZIZHNql4ERkiVV0ulVJmhRhlYSSQE/u1CiW9/t7gulQJ+cRNwyedqdlhERFQlrlvMEvC8/s2FNR2IRVWWAHtJDe31NyT+/jjw+BPAy1sqv9+ECcDC+SoYsHABMHECn2ci2nUMDhAR1UjpbJvSZrEj0dMj8Zd7y9cddwwwrav+TxSDMkIhv/6oYQi0cYYREbUgIYRfh1mit1fA0FVGVToNRCIS8XhjBEwPe4fAYe+Q+Mc/i+sefhQ45miJxYvq//iJiKhc37JBQa800wRcNhceka3bJB5/QgUENm2u7D5CqMbBhxwMHHIQsPfejXE+QESNhcEBIqIasCzV8NW01OD4aGfX3HGXOjkPaBrwL2dV6SDHiJQqW8D2ywjFYgLhMNDWxllGRNTaQiGBzk6JdEb1/cjlVRDVcYC2NtkQZYY+fgGweg2QzRbX3fC/wI9/IBGN1v/xExGR+q6SN/3s5AHKBrG5cGW2vynxxBPA358AXnixsvtEIior4JCDgYOXABOYHUBEY4zBASKiGsibKhXXc1Q9ztFIpST+3Cdr4JijgenT6vcE0nVVYMD1gEQbEAmrMkLxeP0eMxHReNI0gWQ7kA/5zYoNiXQG6EkBibhEJFLf/y8nThT4yIclbvif4rrt24Hf/j/gYx+p3XEREdHQHKeYJSDl4GWDwuHG6okz3t56W+KJJ1WGwIaNld1nwgTg0IOBQw4B5s9D3X/WE1FzYXCAiGicSalOtC1LpYqGQqN7nDvuUifvAU0Dzq7jrAHHkejtBSCAZLuaIdvezjJCREQDiUYFDEOVGdJ1FSDIZNT/0novM3TCUuDRx4C164rr7r4HOO4YiX33qd/jJiJqNUEfAdMEXFf1QzP9gIBXUjYoHFbn7jSwHTuLAYH1z1V2n85O4IjDgCOPAA6YwwxqIqodBgeIiMaZaQKQ6qR7tKm46XT/rIGj3gnsNr0+TyotSw1s6TrQ3lYMDLA2KRHR4AxDlRnqTatmxUGZIddVzYrrdeampgl86t8kLvmCX4ICqnnl//wM+NY3JAdAiIhqyPOKAYGgj4BlA6bfVwACCBkquzkUqu9gdC1190g8+Q8VEFi7TmVbDCeZBA5/hwoIzJvLDAwiqg8MDhARjbN8XtXtlN7oGxH/+V4glysuaxrwr3WaNWCaEpkMEAoDbQkVGEgmOTuGiKgSQqgyQzlDlRky/CyCVEr1IQjVafbV7rsLnHWmxO9+X1z33Abgbw8B71pau+MiImpFnueXCDKLQVvTUusKfQQMIB5X3094nj6wVK/EP/4BPP4ksOZZFfgeTlsbcNg7gHceAcw/kAEBIqo/DA4QEY0j15VwHHVirumjS881TYm7/1y+7ojD1EBMvcnl1CzXSARIJATCEZU5wBlIREQjE4sJhEISqZRfZigN9PYC8YRER7LWRzew950BPPwosHVrcd3NvwYOPVQi2c7PASKisRSUMjVNwPIDALZd7CMAyT4ClUinJf75lGoqvGp1ZQGBeBx4x6EqILBgPksyEVF9Y3CAiGgcmaY6UbdtdSI+Gvc/oGaMljrrfbt+bNWWzUrk80Aspga1YjEVICAiotEplBnqFdA0IJORyGaBdNqry/+v4bDAxy+QuPKbxXW9vcAtvwE+/YnaHRcRUbMqBAT8/mZBQMC2SxoLa0A0ogICLPE5sExG4qnlwOOPA8+s9sstDSMWAw49RJUMWryQAQEiahwMDhARjaN8vjhTZzQlhWxb4rY7y9cdtAR11+Axk1G1TGNxIBYViMeBeLy+jpGIqBFpmkBHh/o/CwgYoaCRpIQnJeqtEsSSxQJHHCbxxD+K6+5/AHjX8RKzZ9XZwRIRNaCBAgKOU1wnPTYWrkQu5wcEngBWrKwsIBCNAocc5AcEFgGRCJ9bImo8DA4QEY0T25bwPDWIY4RGl7r76GPA22+XrzvrzCodYJX0DQy0tQHRKE+UiYiqKZEQMAwJkRGIxgR6U6rUUHtb/TUq/thHgRXPqAB54Kf/C3zvmvo7ViKiRhD0ELCsYsmgICBg2YDnqoBAKAxEGBAYVD4vsXwF8PfHVUDAsoa/TzgMHLwEeOeRapIWAwJE1OgYHCAiGif5vJrZ6TpAIjHy+7uuxK23l687YA4w94D6OSENAgPxBBCNMDBARDSWIhEBwwAgBPROIJMBelIqQFBPA0GTJwmc868SN/2quG7zS8Bf7gVOeW/NDouIqKG4bjEgEDQV7lsyqBAQiDMgMBjTlFixUvUQWP60mrg1nFAIWLJY9RA4+CBVMpWIqFkwOEBENA6klMVUXzG6kkL/XAa89nr5unrqNdA3MNDezpk0RERjzTAE2tsFenqAjqSq6d/bC8Tjsq6Cs6ecDPztYWDLluK63/wOOOIIiYkT6uc4iYjqSWl5INfxe5c5gO1nCLBkUGVsWwUEHn8CeGp5eSbbYAxDlQo68gjg0INZIpWImheDA0RE4yCo/5k31Ym7ECM7uZRS4k+3lq/bZx/goMVVO8Rdks0WSwkxMEBENL50XWDCBCCdVv93g0bFnifrZjDDMAQ+cZHEV75eXJfLAb+8Gfj8JTU7LCKiuhL0D7Bt9f3B8/x1dknGgFRNhVW5IAYEBmPbEqtWq4DAP5cB2ezw99F1YOECVTLo0EOAtgSfWyJqfgwOEBGNg3xenaBKT53Ij9Sq1cCLm8rXnXXGyIMMYyGXk8jny3sMMDBARDS+hBBIJgXSadWoWNMlcllVhqKtrT4+L+YeIHD8cRJ/e6i47rG/Aye9W2Le3NofHxFRLQTZAbYN2A4K/QOCDAHHVet0HYhFVUDAMPg/cyC2LbF6DfDEkyogkE4Pfx9NA+YfqAIC7zgUSLbzuSWi1sLgABHRGHNdvxaoqU4+RzO750+3lS9PmwYccXiVDnAX5PMSuRwQi6nAQCLBHgNERLWUSAhomh8g0CQyGVVmqK1NQtNq///5I+cC/3xK9UcI/PwXbE5MRK3D82QhM8C2i9kBQTDAdlRDYQhV2iYeUwEB/o8cWBAQePzJ/p8vg9E0YN5c1UPgsHcAHR18bhuJlBKep37uey2lupT+LAGgdH3hgUofc+h9FuZYiLIrtV6oZSGK2w30c+mlHs7JiAIMDhARjTHTLKYDx6Ijv//GjRJrni1fd+bptf+CYJqqbEUkoppyxeNszkVEVA9iMQFdl0j1CmhCojcNpHpVo+Jaf3Z0dAh84P0SP/9Fcd3ml4AH/gaceELNDouIaMwEpYIcR/UJcB213nFUkMC2i9kBaiIREPIDAvWQ9VWPbFtiVZAhUGFAQAhg7gHAkYcDhx8GTGC/m7rieWrAXwXLUP6zVP01gp8x1EB+38H5YOAefdajZMC/z899lQYOSgMLpcEH2Wdd+cYDPiogAC0IGGj+cWrFdZpWGkxgUIHGDoMDRERjzDTVFwHI0TUi/mOfrIEJE4Djj63GkY2ebUtkskAorGapxmJs0kVEVE/CYYHODomeHoFkuwoQ9PYC7e21DxC850Tgr/cDW14prvvN/wFHHi7R1sbPEiJqbFIWB/1tWwUFAD+b2Cmukx4K2QGxqPqeUOv/z/VsNAEBAJgzW2UIHH4YMGkSn99aCGb6u25x0L/vpR9/QFzzB851Qy0H64GSgfVqzsbv+xDDZBQMJ/jdywIJwc8lWQ9BAMRzAccPjgy8b1kIJmhlQYP+1+pnvuZpeAwOEBGNIduWcF3AzKsT/5Ge8L/yqsRTy8rXnX5KbRuPua4aZDJ0oC2hMgcSbNZFRFR3DEOgs1MilVIlhlJpIJVSJYZq+Tmi6wIXfFTiiiuL61Ip4P/9AbjgozU7LCKiUQnKBDlOeTDA81QwwLFLSgVB9Q4ImgkbBgfvhpLPS6x8RgUDlj1deUBg9iw/Q+BwYMpkPr/jIZj5HwQASq/LSvaUDPoHmTLBOt0f2B7wO7MoDwb0nVUP9P95oCyB/tcje31I/5fpW76odF3psueJkp/94EBJsCBYN1gQInheCxkUQRDBDyh4HuABkHYx2FD+vMlCoEArCxr0/Znvk1bG4AAR0RgyTTWY7jhAIjHy+99+Z/lyIgGc+O7qHNtouK5Eby+g6UB7u2o83M6mXUREdUvXBTo6JHpSAh3tEqleoDetSgzVMkCwcIHAOw6V+OdTxXV/vhd49wkSe+7BzxUiql/BuX3QQNgtyQxw3P7BAE0HQoYqFWQYHIQbTk+PxLLlqqHwqtWqN0MlGBAYH66rBqsdB3D9me4DBQB0XQ32h0LqPRAMTPcd+BdC3V4MDPQfuFbr6uNvGhxHtQ+nNMOg/FpASvVcy9IMg0HKKxXKMwXBB/9v43rq4riDZCUIWV7OqCRYw2yE5sfgABHRGJFSqpJCFgAx8pJCb78t8cij5etOPql2df2llEin1XlEMgEYIYH29pocChERjYCmqRJDqZQqMZROqwBBIi4RidTuC95HPwKsWKkG2AA1uHDjL4Ervib5xZOI6kahN4CfBRCUQHGc8mBAMGs3CAYY0dFlDreirdtUsPifTwHPbRikzMwAZs8CjvRLBjEgUF2ep4JguZxUAQG32BsDgJrJ7w/qR0PFn/sO5Bdmresq87ywPMC2rUwIAV0f2X1KAwpBgMbzRDGroCQw0DcY0DcjIQgYBI/juOr8TA4QhBBCqrJGwd+xT/BAXfh3bSQMDhARjRHLUh+mpgWER9FQ7K4/F9OSATXr4r0nV/kgRyCdVicWyXZV1qgjyZM5IqJGIYRAMinR2ysgBNCbln55htoFCKZ1CZx+qsQfby2ue2YVsGw5cOghNTkkImpxQYkg1y1mBqgmo2qgNLgE6wE1wBkOFcsEcVBseI4jsf454OmVwIoV5T1ohsOAQHVJqcrgBhfHv7Yt9QLP5dVgr6EBsVBxkL806BXM7h/owu+LY6c0oGAMM7ob/J2LwYT+GQle3wwQX2k2ghds7xXLRtkDlTTyMxHKAwYMDNUrBgeIiMZIPq96DnguEImP7L6ZjMR9fy1ft/Q4oLOjNh+g2az6otTmBwaSSX7xISJqNCpAAPT2SgACmYwKEEgpEY3W5n/6WWcCf3sY2LGjuO4XNwOLF9W27BERtQbHkcjnJSxLDf67fimgoF+A6wcC3GDGdEkDYcNgz4CR2LlTYsVK4OkVwDOrgWy2svtpGnDgPOCwQ4FDDwUms6nwqAUDxI7jBwGc8lnlhUyAKJBMCpUFExbF27UgG6b8wu+F9U8IMWwAIVAIBhQu5dkIwc99MwpcVxYCDkEQIShnVJpdVTwmOWDQgNkH44/BASKiMeC6ajDdNINGSyP7YLvvfiCXKy4LAZx+apUPskKmKZHPA7EYEPZLCRkGP6iJiBpVe7uAEGqUSwiJbFYNGNSibF0sJvCRcyV++OPiuq1bgTvvVoEDIqJqKc0KUD0DPEipyqw5tt882L8USgT5g6GRcHFQlMGAyriuxIsvquyA5U8DL26q/L6RCLBkMfCOQ4GDlwBtbXzORyPojxFcCoEAUcwACEfUdWmgS9ME2trUYLImmAXQajRNFBo7D2WgIEKQnRBc+mYiBD0rygINfvCgXy8EIaEPEDQIfubrsXoYHCAiGgOmqQZaLFvNLBoJ25a4657ydYe/A5g+ffw//GxbIpNV/RJiMYFEAgiH+SFMRNTo2toENK0YIFAB6doECI4+SjUj3rCxuO4PfwKOP1ZiwgR+5hDR6DhOsXFw36wA1ZTTg+MCO3ZKwIPKCvBLBAVZAewXMDLdPRKrVgMrVwIrngFSqcrvm0wChxysAgIL56OmPXEakecVswKCrBdZkhEQBAJCfYJcug7oRjFAELzuOzvV6LDjiAFLzRBVEkQoLWfUN4Dguv0zEIKAQ9DsOtjOsvsHDzRNqmbXft+DIHDAQNbIMThARDQGTFN9gEGOvBHxI48CO3eWrzvzjGodWeVcVzWt1HUgkVDppbVqhkxERNUXjwsUphCidgECIQQu+pjEFy8vDmTk88Dvfg988t/G9VCIqEFJKQtBgNJeAYDfUNgpBgg8F4A/G9rQ/RJBOksEjYZlqd4Bz6wCVq0GNm0e2f332w84aDFw0BJg5v4MxoxEv6wAP/gFoQIA0aga9A8Z5YGAIADAslg0HiopZ1TIJvBUL4TSYELhdd1n2yB44HqqRJZloSxwIIRUGQYljbKZcTA4BgeIiKrMtlV03MyPfMaR50ncfmf5ugPnATP3H98PMCn9RpUCaG9T2QKJxLgeAhERjYOBAgRSSn/9+Nl/f4HjjpX420PFdfc/CJxyssSee/JLHBGVCwZGg0CA66j1pb0CgrrqhV4BuhooNaKAEQImTlBTXiVEv9rZNDApJba8AqxapQICz67zB+UqFIsBixaqgMCSxcDEifz/XqnCa94BnGAWNYpZAZFCkEs9p0IUm2QbhvqZg6JUj3S92Fh5IK5bmn0gVOaX3zhb9sk6CLIRPL+59kCBgyDjoG/QoJWDkwwOEBFVmWkWT95GOqC+/Gng1dfK173vjKodWsWyWfVB2t6mTjDb23kySUTUrOLxYg8CCIlcFgDGP0DwoXOAvz9eHGjyPOCmW4Cvf2VcD4OI6lBQIsiyywdGHUeVCHJsFAaMADUwOmTjYJ7XVqy7W2LVGhUMeGZV/wzn4ey5h8oMOGgJMGf2yHuxtarSAJjjlAQD/IF+I6SCXUHT1iBLIAgItPJAJzWXoYIHhTJEbjHrwB0icFDIOHBVoM0sDRwICWOAbINWeC8xOEBEVEVSSlVSyAIgRl5S6Nbby5f33gtYvKhKB1ch01S/QywOhMICyWTxpJOIiJpTLFYSIEBtAgSTJgmccZrE7/9YXPf0CmDVaom99xq3wyCiOuA4spAVYFvFQZ5gfTCDOhjU0UuzAjgwuktSvRJr1wJrnlWXV14d2f2jUWDBgX6GwBKgq4t/i0oEDbP7ZQYY6jtlMPivaaLYHyPMrABqbUHfg4FKFwX9DoLAgVMSOCjNJHAcWRY0cPtmG/iNkYvBAgBCoJnecQwOEBFVkeV/eTEtdbI2kpO09c9JPLehfN2ZZ4zviZ7rljQgjgq0JYqpqURE1NyiUQEpaxsgOPN04K8PAN3dxXW//BXwH8weIGpqpZkBQTBAymJNddvuUyJoqKwAGpFsVmLtOmDNWmDNGuCllzGiBrSaBszYTwUDFi0EZs/i94dKBK9v21aXoLa6pg+QGSCKWQFBZgBf80RDC/odDBQ4KG3g7Xmi2JPGK27juipoEPSqcdxiX8mg/HKzYHCAiKiK8nnVc8BzgUh8ZPe97fby5cmTgXceUbVDG5aUEr1pdYKfSACRiBooIiKi1qGaEfvfeqTqQSDE+DUpjsUEPvh+iev/p7jupZeAx58Elh43LodAROMgmCVtWWpgNBiQsW05YDAgxGBA1eTzakLSmmeB1WuAFzeVD4hVYsoUFQhYvBCYfyDQ3s6/RyVKM2IcP/NFaH4D4RiDAUTjJcg4CIXK1/fLNnBKsg18QWAhkRDQNVWqqNExOEBEVCWuq072TDOY8VH5Cdwrr0o8tbx83WmnjO+sm0xWfTFItqv9tjVRJJyIiCpXFiDwmxQD4xcgWHo8cPefgS2vFNf96TYVMB9pLx8iqg9SysIMacsuNhAesExQSTBADYxyUHRX9PZKrH8OWLdeXV7cVD7QVYlYDDhwngoGLFwI7Dadg9WVKGucbfsZGcHr2w8GBK9v3QDCoWJAgM8v0fgbLNugb9DAdQUSCfUelU0wst4EvwIRUX0wTfWhYdnqy8xI3H5n+XJbG3DC0uod23BMU8IygXgCMEJsQExE1OoGChAIIcclo0zXBc4/T+LKbxbXdXcD9/wF+PCHxnz3RFQlrisLmQFBKQbXlaqPgD9YOlCZIDas3TVvvy0LgYC164EtW0b+GOEwcMAcYMF8YP48YMYM9nGoxKClggzVi6E080XT1PMcBAPY442ofvUNGggh0NmpAQC6u4OynI2LwQEioirJ54vd7kfSiHjHDolHHi1f954TMW4zNF1XIpsFQmEgGmGfASIiUmKxYg8CKdVnhRASkcjYf0YsXgQsXACsWl1cd9c9wCknS0yaxM8oonpl2yogYFlqYFRKWWiwajmA52cM6DoQjbBkyq6SUuKNrcDadcXMgG3bRv44hqF6BSyYrzIEZs1kkKZSQfZ4UC5oqFJBpZkB/L5FRPWCwQEioiqwLAnPU9kDRmhkM2vuusevOekLhYD3vmcMDnIQmSwAASTiQJh9BoiIqIRqRlwMEGQyADD2AQIhBD56nsSlXyw2xjRN4Le/A/7ja2O6ayIagaB3gGkVGwl7niw0Fi4Mlgo1ESUU4SzpXWHbEptfAjZsRKFUUGkD90ppGjBz/2IwYM5sjEvgtxmUlsiyHdWoFAIw9P6lsHQDiIQZBCOi+sbgABFRFeRNVTPVdUZWDzmTkbjv/vJ1xx8LdHaOz4ljPi/h2EBb0GeAtZyJiKiPeLw8gyCTURkE4fDYflbts4/A8cdJPPi34rpH/64GHjmwSFQ7QbmgoGQQUOwdYNrF7ACDfQN2iZQSb70FbHge2LhRBQQ2bS4+5yMRDqvMgLkHqMvsWZwQNBKFEll9GgmHQ4ARU9dCCAihnuugXBA/q4ioETA4QES0izyv+AUpOCGs1H33A9lscVkI4IzTqn+MA3FdiWwOiESAcEg1IOYJLBERDSSREPA8FSDo7ZVIZ4B2Ice87MSHzgH+/rjKGgDUDEzXVbNeiWj8OI463zUt1Uw4KBdkW6qfgPT87IAQEEpwYHQ08nmJFzepIMDGjSoosHPn6B4rkVA9A4JgwIz9WCZoJIKMmKAkludh0EbCQZmgcJhBMCJqTAwOEBHtItMEIFX2QCRcebqobUvcdU/5usPfAUyfPvYnlVJKpNNqcCUeVw2yxnoGKBERNbb2dgEJiTYJ9PYCvWkg2S7HdDBk4kSBy78kcd31avDx4xdxgItovFhWcQKM5/kDpk5JxoBU55LhwsAoy6ZUKugVUAgEbAReetkfhB6FCROKgYB5BwB77cXgzEgF2S+2XSz5qun+azukAgJ9GwmHR/Ddj4ioXjE4QES0i/ImYFoSkGoWfqUeebT/bKAzz6jqoQ0qn1czL5NJNcNlJKWQiIiodbW3AdITaG+X6OlVQYJkUo6o185ILVoo8P1rJMJhlcFARGNDymIwwPL7B7husX+AU9JMOBZVA6Nj+d5vJpmMxPMv+MEAv0xQb3r0j7fnHqppcBAQmDaNg9QjVcgO8C9+9TyEDCCeUNe6LgrrwmGWyCKi5sTgABHRLgj6DFim+qJU6cmi50ncfmf5ugPnATP3H/uTTceRyOVVtoBhCLS388sEERFVRgiBZFKip0cg2SaRKgkQcJYqUeMJAgKmHxCAHKB/gFBZAfG4GhxlQGBorivxyqvF0kAbNwKvvlZsrj5S7W3ArFkqGDB7FrD//kAbA6WjYtsSjp/94rpqnWaoCV6qPJDfSFgvZgaEQvyuRETNjcEBIqJdoGbgqy9Q8Xjl91v+tPqSUOrM06t7bAMJGklqmqqXGYtx9gsREY1MIUCQEmjvEyDgAApR/Svtl2X55YGCngKWDXguAKHKBbF/wPB6eqTKBnheZQY8/wKQy43usTQN2GdvFQyYPROYPRuYzqyAURs0OyAERKLqNa5povh6DzEjhohaD4MDRESjJKWEafqzrMTISgrddkf58l57AUsWV/XwBtS3nNBIAhpEREQBTRNItkv0eCUBgjTQ3sYAAVE9CgICpun3C4CaRW3bKmug0FA4DIRjnC09GMeReOnl8qbBW7eO/vEmdKpsgFmz1PWM/YBolM/7rhiwd4ARZE2XZAcYxYAAX+9E1MoYHCAiGqWgFqtpjawZ1frnJNY/V77uzNPH/oTUdVlOiIiIqkfXiyWG2tsketNAJgO0tdX6yIgIUAGBYCJLEBCwbAnbzxAIAgLhcFA+heeFfe3YIbHBbxi8YSPw4iZ/YtAoGIYa/A/KA82eBUyezPPxXVXIDnBUb4zS7IB4on92QFAqiNkBREQKgwNERKOUz6svWJ4LREYwA/+228uXJ08Gjjqyqoc2IJYTIiKiajOMYomhREIikwayWYl4nJ8xRLUwVEDA9HsKaFrpICnfqwHblnhxUzEjYMNG4K23Rv94U6eq0kBBiaB99+XzXS2DZQf06x1gFF/rhsFADBHRQBgcICIahUKjNhPQ9MpP9F95VeKp5eXrTnvv2A/U5/Oq+VZ7O8sJERFRdYVCKnMAUsCLS+SygKZJlsYgGieuWywZ5Diq9KXtAJZZ7CmgaUA0EgyS8r0ppcTWbS7WrXOxcpWHjRuBTZuLA80jFYkA+88oKRE0E5gwgc9ztUipvntZNuDYgOdBZQcYKjsgZPiZAMwOICIaMQYHiIhGwTSLKayxaOX3u/3O8uVEAjjhXdU9tr5cVyKbK84OSyQ4a4aIiKorEhHwPFXLQXoSWT9AEA7z84ZoLFQUENAZEAiYpsQLLxbLA23cCOzsTo368XbbzW8YPEuVCdp7bw5EV1vwGrcdP2gjg0lZqjdGyM8E0PViI2H2DiAiGjkGB4iIRkhKiXzeT81G5Y2I335b4pFHy9e950QgFhvbE9hsVtWTjcfVsXKghoiIxkIsVgwQuJ5EOgO0C8kyGkRVEpQMGi4gEIuqQdJWDgikUqrHV3B5cdPoswLicWDm/sU+ATNnAsn21n1ux0qQHRBcguwAQ1clUUOG/5r2MwaCYEArv86JiKqBwQEiohEqNCI2SxpcVeCuP5d/KQmFgFNOHqOD9FmWOslOtKnZTInE2O6PiIhaWyKhAgNtEkj1Auk0kExKzqglGqVKMwRaOSAgpcTWrcC6IBiwHnjt9dE9lhDAnnsWewXMmQXsvnvl5/s0MgNlBwi/J4YRUtdCCNUnI1zMEGB2ABFR9TA4QEQ0Qvm8alg2kkbE6YzEfX8tX3f8sUBn59id2EqpyjqEQkAkLNDWxi82REQ09trbAM9VfQhSvUBvGki2S34GEVWIAYGhua7Eyy8Dz64tBgR6ekb3WMmkwKyZErP8EkH7z1BBThobnqf6oPXtHTBYdkAoxLJYRERjjcEBIqIRCBoR50fYiPivfwVyueKyEMAZp43RQfqyWcCTQHvcDxBEeFJNRERjTwiBZFKip0egLaECBOkMkGyv9ZER1S8GBAbneRIv+cGAZ9cCa9cBmczIH0fTgL33AmbPBmbPEjh4STt2311Dqjel0oJpTNi2CgjYdjGLeqDeAZpWDAYwO4CIaPwwOEBENAKjaURs2xJ33VO+7vB3ANOnj90Jr+OomrSxGKAbKmuAiIhovGiaQHu7hOcJtLVJpNNAJiM5I5eoxEABAcsGbKu1AwKeJ7FlC7CmJBiQTo/8cSIRlQ1wwBx1mT2rpNeXEOhI6tU9cAKgXtdBMMC2/biLnwkQT6hrXWd2ABFRvWBwgIioQqNtRPzwI8DO7vJ1Z55RzSPrL5MBNEN9AYrHwFrPREQ07gzDzyBICcTjEtkMoOsS0Sg/k6h1MSDQn5QSr74GrFpdDAb09o78cSZ0qiDAnDnA3DnAPvu0xvNXa2WNhB3Ac9V63QCiUcAwitnWul4MBoRCzA4gIqoHDA4QEVVoNI2IPU/itjvL180/EJi5/9idCOfzEq4LtLerE/BYbMx2RURENKRQSJUWghTwXNULR9dlxWX5iJqB66qMTstiQCDQ0yOxag2wahXwzGrg7bdH/hi7TQfmzQUOOEAFBaZ1cbB5vJSVCnJRaCQcMoCQ3ztA0wSEKA8GcMISEVH9YXCABrRt2zasXr0a27ZtQy6XQ1dXF/bdd1/Mnz+/avvYuHEjnn/+eWzbtg2apmHatGmYO3cu9tprr6rtg6iaRtOI+KnlwOuvl6973xlVP7QCz5PI5oITcFVOiF+SiIiolqJRAddVdSVcV6I3DXQkJQeJqKk5jp8hYAFuSUDAstSAamlAIBxu/kFTy5JY/5zKDnhmFbBp88gfY9o0YP484MB5wLx5wORJzf2c1RPXLWYHqAAXCmWByhoJQ2UKBMEABoKJiOofgwMNJJPJYN26dVi9ejVWr16NNWvW4LXXXivcvvvuu+Nvf/vbLu1j9erV+NGPfoQnnngCnuf1u33vvffGhz/8YZx77rmjHnC888478fOf/xwbNmwY8PbFixfj05/+NI466qhRPT7RWBhNI2IpJW67vXzdPvsAixaOySECUE2IASAeV2WPeEJORET1IJFQgYG2NqAnBfSmgWS7rCgLj6hRFAICJuC6AwcE9BYJCEgp8fKWYjBg7Tr1PIxEV5cKBASXKZOb9/mqN4W+AQ7g2IDnARDq9TtYqaDgwv/rRESNhcGBBvDLX/4St956K1544YUBB+yr5cYbb8QPfvADOI4z6DYvv/wyrrrqKjz00EP44Q9/iI6Ojoof3zRNXH755bjnnnuG3G7lypW46KKL8NGPfhRf+tKXOOuZ6kI+P/JGxOvWAxs2lq878/Sxm8lv2+oLaTyhvmwmEmOyGyIiolFpbwdcT6C9TaInBaQzQLK91kdFtGuC8y/TVAOonlcsGWQ7aKmAQC6nSgU9vQJYsQJ4e8fI7j9pErBwgcoOmDcPmDqleZ+rehN8zwkCAkHfAM3PAjBCKjtACL9UUFiVWWWpICKixsfgQANYtmwZNm7cOPyGu+D3v/89vvOd75StO+CAA3DQQQchFovhxRdfxKOPPloIHDz++OO4+OKL8fOf/xyGUdnL6Ktf/WpZYEAIgSOPPBKzZ8+GbdtYs2YNVq5cCUDNNPnFL36BWCyGz33uc1X6LYlGR0pVJ9Y01XKljYj7Zg1MmQIceXhVD61ASolM1m/8FVGBAc7aISKieiKEQLJdotsVaGuTSPcCmYxEIsHPK2ocUqpgQHCR0m8y7AcEgnlWhtH8AQEpJV5/XQUDnl6psgOGmGfWTzQKHDhXZdUuXAjssTvLYY4XzyvpGeCoTBfAz5A2AKOkb0BQPijoHdAKPTGIiFoJgwMNKh6PY968eVi7di2yQR2RUXruuedw5ZVXFpbD4TC+9a1v4dRTTy3b7pVXXsGnPvWpQqDiySefxHXXXYdLL7102H389re/xV133VVYnj59Om644QYccMABZdsFQYfe3l4AwPXXX48lS5bgne9856h/P6JdZZrqi1/eVCfElQy6v7xFYvmK8nWnnzJ2J9P5vJrhk0yqL6PRKE/aiYio/ui6QDIp0ZMSiMUlclnAMCQiEX5uUf3yvJKAgF8eKCg5admqpwCgZlfH4809m9o0JdauKwYEtm6t/L5CAPvP8IMBC4DZs1gCc7wMFgwImghHY4ChF1+3Qd8Aww8KMGhDRNS8GBxoAJFIBAsWLMD8+fMxf/58HHjggZgxYwY0TcPxxx+/y8GBa6+9FrZtF5a/8Y1v9AsMAMCee+6Jm2++GaeccgrefvttAMDNN9+Mc889F1OmTBn08XO5HH7yk5+U/T6//OUvse+++/bb9sgjj8T111+P8847D1JKSCnxgx/8gMEBqqlcHjAtCekBkXBl97n9zvLl9jbgXUurf2yAmq2Wywf1P1UTYiIionoVCgm0JSQgBVzHz3zTJWejUl0J+gdYJdkAtl0MCHguCjOqo4nmrrXe3S3xz2XAsuXA6jUj6x0wZYoKBixaAMyfDyTbm/M5qjdBz4C+ZYKCYEAkqq6DYIBuFMsEMRhARNRaGBxoAD/84Q/H7LHXr1+Phx56qLB8yCGH4Iwzzhh0+4kTJ+Kyyy7DV7/6VQBq4P8Xv/gFvvzlLw96n9///vd46623CssXXnjhgIGBwKGHHorTTjsNd9xxBwBg7dq1eOihh3DcccdV+msRVY3jSLgOYJlBs63hT5TffEvi0cfK1538nrGbzZ/NqplYsVgxQEBERFTPolEBx5GqJEsvkE4DySQbFFNtBf0DLKu8obBdkjFQqLcea+5B1K3bJP7xT+CfTwHPbVBZtJXQdWDuAcBBS4CDDwJ23615n6N6UtZAuLRngK4yAkJ9MgOCYECQGcD/vURErYvBgRZ37733li1/8IMfHPY+p556Kq655hqkUikAwH333TdkcOAvf/lL4Wdd1/H+979/2H188IMfLAQHguNkcIBqIZdTJ9u2jYob/N51TzFVF1ApuSefNDbHF8xgS7Spk/p4fGz2Q0REVG2JBOA4Kosg5QcI2tslBxJp3AzUP2CghsKaDkQjwazq5nx9Simx+SUVDPjHP4GXt1R+3wkTVDDgoMWqXFA83pzPUb2QspgVEFyC4I1mDNAzAAwGEBHR4BgcaHF/+9vfCj+HQiEsXTp83ZNIJIJjjz0Wd96p6qa89tprWL9+fb/+AQCwY8cOrFq1qrC8ePFidHV1DbuPRYsWYdq0adjqF7F8+OGH4boudF0f9r5E1eJ5Eqaleg4IoQb5h5NOS/z1/vJ17zoe6Oio/gl40ITYMIBIWJUT4ok+ERE1CiFU/4HubhUg6E2rbLhKg/FEo+G6xYBAMPg/YP+AFmgo7LoSz21QAYF/PgVs217Z/TQNmDXTDwgsAfbdh9kBYynoF1C4uAAkAKEyNaJRNfgfMvy/g/CzBVgmiIiIKsDgQAtLpVKF5sIAMHfuXEQikYruu2jRokJwAACWLVs2YHBgxYoV8DyvsLx48eKKj2/RokWFzIbu7v/P3n2HR1GtfwD/ztZkU4GE0HvvvYiICl4RRVB/goUq5SIiKF4F7OUKlstVQcECKBf1CngRC3ZAUFR6EwgdQg0lPbvZen5/THayk2ST3WST3Wy+n+fhIWd2yslmJ5mZ95z3zcDRo0fRpk0bn7cnKq+8PEC4BPKs8mgxXy6qv/tB3s5NowGGFS3hEbD+uVxAdEx+gIDFHImIqIrRaCTExAi4hITISBYopopRXLogu6MgXZBwodrUD7DbBfbuB7ZuBbbtADIzfdsuIkIOBPTqCXTtwtoBFUUIAadTHQjwrBeg08pBK51O/idJEiSpYEaAXl+wnIiIyBcMDlRjx48fV7WLe7jvTfv27Uvcl7fl7dq18+sYnmmPTpw4weAAVaq8PMBqAyAAX+JmNpvAN9+ql/XrCyQlBf7iXClCbGQRYiIiqtpYoJgCzeWSZwJYbXIAwGu6II2casVgCO8HqmazwM5d8uyAnbvltJm+iIuVgwG9ewGdOgIGQ3i+P8HkWTjY6Sw6K8CdIsizXoBGA+j08mtyMIA/FyIiKjsGB6qxEydOqNr16tXzedu6deuWuC9vywtvF4hjEFUEq1XA6QLyrPJFty/TyX/eUHT01R3DKqZ/nkWIIyN5U0BERFVbRIQEu10uUOxggWIqA4ejYHaAw1GwzG4HrHbAVY3SBQFARobAtu3An9uAffsL3pPS1K4N9OklBwTatA7v96iyuQMByswAdyAAcl0LrRaINMiBAF0xKYLcswX4MyEiokBicKAaS01NVbV9qQXglpiYCK1WC2d+1dXC+/J2jDp16vh8jMLruusPEFUGi0XAYRdwOYComNLXdzgEvvhSvaxzJ6BZs8BfvNtsLEJMREThJzoacDglxEQJZGYBublAjA9/g6l6cs8OsNkAu11OtShEwewAmx2AkAdT6PWAPszTBQFAaqrAn/kFhZMPFxSpLU3jRkCf3nJAgPUDys+dGsgdBFDNCEB+eiAdEKmXawXotB6Fg7UF9QM8UwcRERFVFAYHqrHc3FxVO9qPvCQajQaRkZHIyckBAJjNZp+OEeVHhbnC63o7Rkl4IUX+kiRJyUtrtUnQ6AC9D1Oof90CXL6svgP7v7sk+Y40gIQQMOdJ0OvlGgMxMeF9k1vVeP7O4e8f8gc/O1RW4fTZkSQJce4CxdECOTmAJQ+IjJRHz0qSO7921f0+K7Pv4fTZcPOcHWB3yN+T01EQEHC4JDldUH6RVjkHe3h878URQuD0aeQHBAROnfJtO0kCWrcC+vSW0Ls3ULdO+L5H3hQ+P3yMoxQhhFAFAJwOwJn/OQTyH/YXnhHgDgRoCgIA7n+8rqdQEI5/P4gCKdzOEQYHqjFLoWSTBoPBr+2NRqMSHCgcBPB2DF8LHhe3blmCA/Hx8X5vQ5SV5YLTJWDQx6BGvCQ/lCiByyXwxdoswOO2on07Lfr1jQn4HwqzWSDaJBAXLyEyQkKNGpqA7p8CJy4uLthdoCqKnx0qq3D57MTECGRkCESZBMxmgcgICc4YAaMBiI7RID6+6v7tC9a1aVX9bLhc7mCAHABwudz1KACXkF9zueRR1qZIORAQ7umCnE6Bg4ec+G2LDb9tseP8BZdP2+l0QLeuOlzbz4B+ffWoWbPqnkeBFhsT69N6TqfwmA1QEBQA5Af/RoN7JoAErR7QawseGmnyAwN6naSkCGIggKqCqvr3g6iyhMM5wuBANZaXl6dq+xsc8FzfarUG/BiF1y28L6KK4HIJWK1AnkVAo5FHnZXm1y12pJxR35jdf19kwAMDTqeAxSIQESHfdMTE8IaCiIjCj8EgwT2B1O4QyMkp65heqorcMzjdaRQBwOEU+emDBBx2OV2OVit/Vgx6eYZAOIzc88ZmE9i9x4Fft9jw+x92pKf7dk5ERAC9e+nRv58BvXvrER0Vvu9RILnTArnrAjidAk6HHIgCCtIC6Q1ApFZSUgO5P4NarVwwWKeTlPRADAQQEVGoYnCgGis8Mt/uvvr2kc1m87qvko7ha4DAc/8lHaMkGRkZfm9D1ZvZAmg1McizAnZ7NrKyS15fCIH/rFDfoDVpDLRtk4vMrMDeBGRnyzcqOh1gt0vIyeFNRqiRJEkZOZCZmQnha7Jfqvb42aGyCufPjsUiIFwC2TnyQ7nICMDlkqDXVe7fv0CO9q/Ma9Oq8tlw1w6w2uTUQC4BwKN2gN39UFaSr4HcwQCNVoLTCViccvqpcGOxCOzcBWzdKrBzN+DrJOrYWKBnDzllUOdOgMHgBGCB02lBZlaFdrlKkSQJsTGxcDoFMjKzYLcLJTWQy1mwnjstkPufTit/9gD5c+mSAMkp/+9ZI0C48j+/Ni8dIAphVeXvB1GwBPscCfRMVAYHqjFToSqm3kb/e+O5fuF9eVuel5fnc3CgcH+8HaMk/CNG/hBCwGKWoNMBwgUYDAKlJSDdvVvgxEn1sv+7E5DkHQasbzabgN1WUIQ4MlIEcvdUAYQQ/B1EZcLPDpVVuH12oqPltB1RJoHsbPnPqvtfVRWsn08ofTaEkIMBdrtcNNjpkJc7HKLIMo1WThlkMBRTmDVEvp9AyswU2LYD2LoV2Lsf8HXsVmIi0KeXXFC4bZtCaZXC8H0qC88iwU6nXJ/CYXfB5QKycwQAAa1WTgWkNRbUA1DSAmnygwM6QKcT+V8XH6gMlXONKBBC6e8HUSgKh3OEwYFqrPDDdm91A4rjcrlUaX58DQ6YzWbExvqW07Fwf8oSHCDyh9Uqj1bLyxMwGgGXkEq9ofp8jbpdry7Qt09g+yWEgNks34wY81MthPPUeSIiIkAOhsfECLhcDIpXde4H/+6H/xD5MwYc+cWF85dBkoMBRpM8OyCcawe4pV4S2LoV2LodOJRckLqmNI0ayQGBPr2Apk15bejJ5fKoDeByFwmGMuhHkz8DICJCHhSk1Xqk/ZHUswRYKJiIiMIdgwPVWFJSkqp98eJFn7e9fPkyHA6H0q5Tp45Px7hw4YLXdQsr3B9ftyMqK0uePEJfAhAdLcFsKXn9AwcFDh5SL7tzeOBvZPPy5KBFdP6NstHImxMiIqoe9HoJJpP81NhuZ3SgqnCnCnI/+He58mcMOACHHbA5AFf+rYRWC0QYoRRpDfeH3EIInE4Btm4D/twKnDzl+7atWwF9essBgbp1w/t98pW7SHBBoWCPAItUMNrf4PGwX5IkQJIQFS3XBJAkCVqtUIIC4f4ZJCIi8sTgQDXWrFkzVfv8+fM+b3vhwgVVu2nTpj4d48KFC+jatWuZjlF4X0SBZLPJhcaseUBMjPwwAqUEB/5XaNZAQgIw4LrA9svpFLDkyXmWdbqCAo1ERETVhckkweGUAwQ+ZqekSlZaqiC7Xc7lDgFIklzIVZ8fEKgOI7JdLoEjR4A/t8n/fB2TpdUCHTvIwYBevYCaNcL/vSqJ0ymUAIDDKX/OlBlFkvzw32AAtDp3WqCC90urhVI4WKeTP3s1a2qUjTkziYiIqisGB6qx5s2bq9qHDh3ysmZRBw4cKHFf3pYfPHgQQ4YMCegxiALBYsm/gXVIiIgo/cbr2HGBXXvUy4bfnh9UCKBcs3wTHREBREZ6z21KREQUzmJjJDhNolqkmakqHA6hzAywO6BKFeQuJCw8CglHRrhnB1SPn6HdLvDXAXl2wLbtQHqGb9tFRADdugC9ewPduwHRUdXj/SrMHQjwDAa40wJJGndaoIIUQcrvBkmdDsidNqjwbADODiAiIpIxOFCNxcXFoWXLljh69CgA+cG91WqF0Wgsddvdu3er2j179ix2vW7dukGj0cCVP7ez8HYl2bNnj/J1fHw8WrRo4fO2RP5wj2qz5MnFxnxJ2/O/L9TtuFjgpoGB7ZfVKuCwy0WItVoJLLtBRETVGQMDwaXMAsh/+C8Xh/ZIFWQHXE55Xa0WMBqqT6ogN4tFYNdueXbAzl2A2ezbdjExQK8eckCgc8fql0LSnRrI4ZCDAI78YBMgP/zXaoFIfcHIf/dsE41GHQAoqUgwERERFY/BgWruxhtvVIIDdrsd69evL3Vkv9VqxaZNm5R2vXr10K5du2LXrVWrFjp37qwEBXbv3o3U1NQitQgK2717t6rmwIABA6DT8eNKFcNskW9K7DbA5EPanjNnBP7cql429LbA3sgJIWCx5NcYYBFiIiIiqmTukduedQMAeUS8w5GfPih/NLdGA+j0gD6i+qQKcktLF9i+XS4ovG9//oNtHyQmAL17yf/ata0+wS8hCmYEuP+JQjMCIiNKDgSwSDAREVHg8GlrNTd48GC89957SvvTTz8tNTjw9ddfIysrS2nffPPNpR7DHRxwOp1YuXIlpk+fXuI2//3vf4vsg6giOJ0CNqtc9FeSAB8mzmDV51DlJTWZgFtKPg38ZjbLRYhjWISYiIiIKoG7iLD7nzN/FoB7xoDDUZA+SMpPFWSMlK9TqsuDbUB+uH32rBwM2LYdOHLU920bNSwICDRvVj0GfnimB3KnCAKgpP9xpwbS6xgIICIiCgYGB6q5du3aYcCAAcpMgO3bt2Pt2rUYPnx4seunpaXh3//+t9KOiIjAAw88UOIxRowYgffffx9Xr14FACxZsgRDhw71WsR427Zt+Oqrr1R9vOGGG/z5toh8ZrHIN8NWmzxKqbSbtJQzAr/9rl526y1AVADzwTocAlarXGNAq5MQHR2wXRMREREBKAgGKLMAPIsI5z/Itdshp3eppnUD3JxOgcNH5GDAtu3A+Qu+b9u6lRwM6NMbqFc3/N83h6MgGGC3FwyocdcGMEa4awLI74U70CQHmarfzBMiIqJgY3CA8Oijj2LLli1w5M+BfeaZZ6DT6XDbbbep1jtz5gymTp2qPOQHgDFjxqB27dol7t9kMmHq1Kl46aWXAMhpicaPH4/Fixejbdu2qnW3bNmCGTNmQHgMy3700Uerxagaqnwul0CeFbBa5bZPswZWF501cPtt3tcvi9xc+QYqMlKCKbJ6jcYjIiKiiiGEXEC4cDDA6SyoG6AUEUZBMMA9cru6XY9brQJ798kzBHbsADKzSt8GkN+r9u3kYEDvnkDNmuH7vnmmCHIHlNzBJK1WvrbW6tSzAtztglkB4fv+EBERVQUMDlQB586dw0033VTsa05lXqa8nrfc/x999BF69epV7Gtt27bF008/jeeffx4AYLPZ8Nhjj2HJkiXo0aMHIiIicPz4cWzevFkJIABAr169Sk0P5DZq1Cjs2rUL69atAwBcuHABd9xxB/r164fWrVvD4XBg3759RQoWT5kyBdddd51PxyDyl8UCCJeAJU8umlfaKKWUMwJb/lAvu20IEBMTuJuavDy5IFtMTH7xtciA7ZqIiIiqISEEcs0CFrM8wMHpFHA45aLCnsEAdxFh9yju6hYMAICsLIHtO+XZAbv3yPUWfGEyAd27Ar16At26BnZGaSgpKRjgrhWgCiZJciDAXZi6un6uiIiIQhmDA1WAEEIVBCiJt/U8R+IX595770V2djbeeustJQBw6NAhHDp0qNj1+/Tpg7feegt6vd6nfgHAvHnz4HQ68f333yt9+u233/Dbb78VWVeSJIwZMwaPPPKIz/sn8ocrPyiQlye3IyJK32ZlBc8acLnkIsQGA6DXy+mEeANFRERE5ZGdLWDOFbBY5DSKrvzbBY0WMOgLHtxWx1QuQgicPQfs2Als3wEkHy4ovFyaWjXlYECvnkCH9vK1W7gpKRig18mDWPQeo/+VwtS66pl+ioiIqCpicIAUkydPRu/evfHmm2/izz//hKuYK+OGDRti9OjRGDNmjN8PLY1GI9566y2sXbsWS5cuxZEjR4pdr0uXLnjooYc4Y4AqVF5ewawBg6H01D2nUwR+LzRrYOitQHR04G56zGb5fstkkqdhh+NNJhEREVUupxOw2uQZkwYjoI+o3nnd7XaBg4fkYMD2nUBqqu/bNm4kBwN69wSaNw/PQRzuAtS+BgP0HgEmBgOIiIiqHgYHqoAGDRrg8OHDlXKszp0748MPP0Rqair27t2L1NRU5OXloXbt2mjatCk6depU7mMMHz4cw4cPx+HDh3H06FGkpqZCq9Widu3aaN++PRo3bhyA74TIOyHkEfp5VgBCngJdmuJmDQy9NXB9stvlPMBR0XKgIioqcPsmIiIiAoDoME13U5qMTIGdu+QZAnv2yoESX2g0QNs2cjCgVy+gTlL4vX9OZ34wIL84tSiUJshzBoBnMEAuIBx+7wcREVF1w+AAFSspKQl/+9vfKvQYrVu3RuvWrSv0GETFsVjyixHnySPogj1rQAiB3Fx5xJXRIAcGqutoPiIiIqLyEkLg1Gk5GLBjJ3DkqHqQR0mMRqBrZzkY0KMbEBsbXtdkLpfHzAB7fhql/ALCEYVqBrjTBBkYDCAiIgpbDA4QUbXiOWtAuHyfNeDJZAKGBrDWQF4e4BJAtEm+GYuI4I0XERERkT+sVoH9f+XXD9gJXL3q+7a1agI9ugPduwOdOwJGY/hci7nrBrhnBzg9a04YAK1OfvgvSRIkCdAbWDOAiIioOmFwgIiqFdWsAR9qDZw6XXTWwO23BW5avtMp1z2IjAB0+UWIiYiIiKh0V68K7MhPF7R3H2Cz+b5tyxZyQKBnD6Bpk/CqH+CZKsjuWTdADxgj5If/Wq2k1BLQ6+XrYgYDiIiIqh8GB4io2igyayCy9G1WFTNr4LYA1hrIzZXzt0ZE5AcIeFNGREREVCyXS+DY8YJ0QSdO+r5tRATQpTPQszvQrStQo0b4XHMJ4REM8EgVVFzdAPdMAXfdgHAKihAREZH/GBwgomrD31kDJ08J/P6netmwoYGbNWC1ytO8o2PkGzaTKSC7JSIiIgobubkCe/cDO3fJ/zIyfN+2dm05GNCjO9ChPaDXh8+DcKdTwGbLrx2QPztA0sgP/t11AtypggwG+Z9ez7pWREREpMbgABFVCy6XgNki5/f3ddbAio/VleuiooBbhwSwP+b8mzW9XISYI7eIiIiouhNC4HQKsGsXsHM3kHy4IE9+aTQaoE3r/HRB3YEGDcLn+qrE2QGRcnognY6pgoiIiMg/DA4QUbVgsQDCJef3NxhLnzWwZ68du3arlwVy1oDZLKd/NZnk/hgMvHEjIiKi6sliEdi7Tw4G7NrtXzHhqCigWxc5INC1KxAbEz7XVO7aATZ70dkB7sLBkiRBoymYGWAwhE9AhIiIiCoegwNEFPZc+UGBvDy5HRlR8vpCCLy3xKJaFh8vFyIOBLtdngZuipKDFNFRgdkvERERUVUghMDZs/mpgnYDh5LzH377qEF9ORjQo7s8UyBcRscLIaecdAcEXE4UXzuAswOIiIgoQBgcIKKwZzYDLqccIDD6UGvg19/sSE5Wz18feTcQEVH+Gy8hBHJzAZ0OiDDK6YSY+5WIiIjCncUisP8veWbAzl3A5Su+b6vTyTUDunWV0wXVrRs+104uV0G6IJsdyuwAvQ7QRxbUDtBoCoIBnB1AREREgcLgABGFNYdDLkBsyZ8IUFqtAadTYMky9ayBunWAmwYGpj8WC+ASQLRJvsELRMCBiIiIKNQIIXDufEHtgAMH/ZsdkJgIdO8GdO8KdOwQXtdMDkdBQMD9nmh1hWYHQA6KuIMBnB1AREREFYHBASIKa2azfANmtck3XKWN0v95PXDmrEu17P77AnND5g5UREYCuvwixEREREThwmpVzw5IveT7tjod0K6tPDugezc5dVC4jI73VkxYr5PTTBr08jWqJMm1BIz59QM4u5SIiIgqGoMDRBS2bDY5t7/FAmgkIKKUWgNWq8Bnq9TLWjQHrukTmP7k5gIaHRAZKcEUyRFgREREVLUJIXD2HLB7j/zvrwPyw29fJSTkBwO6Ap06ytdI4cLplOsH2GyAvYRiwlptwewAvT58vn8iIiKqGhgcIKKwlWuWi//a7UBUVOmjz75eB6Snq5eNGRWYUVsWi4DTCcTGAlpt6emNiIiIiEJRTo7A3n3A7r3Anr3AFT9qB2i1QNs2BbMDGjUMn9kBQEG6IJsNcOaXryqSLih/xoA7IFBaLSwiIiKiisTgABGFpbw8AacDMFvkG1GjseQbr6xsgTVr1cu6dAY6dSz/DZszvxhyRIR8UxgdHV43wkRERBS+nE6Bo8fkmQF79gJHj+WnxfFRzZoFswM6dwJMpvC5BnKnC7LZAbsNEALyw389EBEpBwHc6YLcwQAWEyYiIqJQwuAAEYUdl0sgNxfIs8oBgpiY0rf53xq5PoGnMaMCc+OWawYkSZ4tEBHBKeNEREQU2i5fEdizRw4I7N0vp0b0lUYDtGktzwzo1hVo0ji8HoY7nQUBAUd+uiCNFjAa5aCA+zpPq5NrB7CYMBEREYUyBgeIKOzk5so3bmazb/lbL18W+PZ79bKBNxrQrJkjfwhY2VmtAg47EB0jTxtnEWIiIiIKNVarwF8H5JkBu/cCZ8/6t32tmkCXLkDXLvLMy+io8HoY7k5TabMDLicACdDlp4k06PNTA0ny14b8YsJMF0RERERVAYMDRBRW7HYBq1UuQgz4ltt/+Qp18TydDnhgXASAnHL1xTNAYdAznRARERGFBiEETqdAnh2wFzh4yL9CwgYD0L6dHAjo2gVo2CC8rnFcLjkY4P7nThdk0AP6/ICAJEnQaDyLCYfXe0BERETVA4MDRBRWcnLlYnBWqxwYKG3U1sFDAr/9rl429DYj6tXVIjOrfH0xmwFIgMkkTzU3GHjDSERERMGRkwMcOCiUQsJpaf5t36hh/uyAzkC7tqXXc6pq7HYBh6NoMWG5ZlTBTFSdRzFhpgsiIiKiqo7BASIKGxaLXGMg1yznfo2IKHl9l0tgyYfqZdHRwNjRpWzoA6tVHnEWFc10QkRERBQ8J046seBtgZ27/MuWGB0tFxDu2lkOCiTUCq8H4d5mBxRXTFhvkOsH6PXyMiIiIqJwweAAEYUFh0Mg1wxY8gqKEJc2tXvDRuDECfWye0ZIiIvVlKsvLpecTki+kZTTCfFGkoiIiCrbTz9b8djjOXC6Sl9XowFat8pPFdQZaN48/PLmOxwFAQGHQ16mKWZ2gFbnWT8gvN4DIiIiIk8MDhBRWMjJARx2AYtFTuFT2o2c2Szw8X/Vyxo0AAbfXP6+mM2AABBlAgzG8Jt2T0RERFXDwncsJQYGEhPlmgFdOwMdO4ZfIWFldoADsNs8ZgfoAFOU/D+LCRMREVF1xuAAEVV5FoucIzbXDGjyc/yX5rNVQEaGetmEceXPHWu1CthsBemEoplOiIiIiIIkqtDDfqMR6NBeDgZ07QLUqxd+RXSLnR2gdQ8e8ZgdoC0IBrCYMBEREVVXDA4QBZjLJZCbK0/NLnxDRoFXlnRCp04JfPOtelmPbkDXLuX7eTGdEBEREYWSZ5+KwnMv5iAzy4luXYB7RwKRkeF1bSKEHAyw2QGHHXC5oMwOiDTJMwI8Zwfo82cIcHYAEREREYMDRAFntQJ5eQKSJEGSBEwm3nhUFCEEsv1MJ+RyCbz7Qf6NYz69Hpgwvvz9yc31SCdkYDohIiIiCq62bXV4b1Eszp3PQG6OCJvAgNMpz9S0O/JnBwh5doDBAOj0cmBAkiRotQXBAM4OICIiIiqKwQGiALPb5XymDoeA2Sz5lOKGyiY3Vw4M5JjlmRq+vNcbfwGSD6uX3TkcqFu3/OmE7HaPdELR5dodEREREeVzzw5w/1PNDohUzw7Q6wqCAeVNF0lEREQU7hgcIAowXf5ZZbXKNyUul2BqmQpgtQrk5cnFf11OINaHdELZ2QLLP1YvS0qSgwPl4XQynRARERFRIDmdHumC8mcHSJr81ECGgtkBGk1BMMBg4OwAIiIiIn8wOEBUQWx2eZRTXh5nDwSawyGQkwNYbQJWqzxjwJeRYcuWA1lZ6mWTJ5Q//U+uGYCUn07IyHRCRERERP4SQsDhgJIuyOUEIAE6LRAZ4TETIH92gDsYwNkBRERERGXH4ABRRRFygEBjAYxGwaJnAeJyCWRnA3a7XPjZYAAiIkp/b3fvEdj4i3pZn15A927l+7nk5Qk47EB0jHxzGh1Vrt0RERERVRvu2QF2uxwQ8JwdoMtPF+SeHeAOBnB2ABEREVHgMDhAVIFycwGdViA7W0JcnOCNTDkJURAYyMn1vc6AxSKw6D31MpMJmDihfP1xOgXM+YWQDXqmEyIiIiIqiXt2gDtdkMspL9fqCs0OgJyq0x0M4OwAIiIioorB4ABRRRLIf4gtkJvLIrXllZMD2GwC2TmAcAGxsb49jP/kM+DyZfWysaOAhFrlTCfkEaCIiAAMBt64EhEREXlyOtXpgtyzA/Q6QO8xO0CSCoIBej0HXBARERFVBgYHiCpQZCRgyS+aK0mATid8SoFDRZnNcn2B3FzA6QRiouFTqqZDyQLrvlUva98OuGlQ+fpjscg3ujH56YSimE6IiIiICIA8y9OdLsjJ2QFEREREIYvBAaIKpNXKRWpzcwGtTgCSBK1WQK/nzY8/zGYBs1n+32YDoqLg03tosQi8uQAQomCZwQA89GD5RqPZ7QIWixz80eenE2LKKCIiIqquXC6P2gH2/GsvSQ4ERETKswQ0Gnl2gN4AGDk7gIiIiCgkMDhAVMGMRgkOh/xwW6sRyMqSEB/PAsW+ysuT3zuLRSAvT07hYzT69t4t/QhIvaReds8IoF7dsr/3LpfID/YAkZESTCbfAhVERERE4cRuL0gX5J4doNHJqRZ1uoLrI62uIBjAayYiIiKi0MLgAFElMJkApwvIzgFiY+QAQVyc4GipUuTlCeTkAJa8gpH6vqZl2rpN4Of16mVt2wDDhpavT2Yz4BJAXJR842sy8WdIRERE4a+k2QHGCLl2gOfsAINenrHJ610iIiKi0MXgAFElkCQJ0VECWdkFBYqzsyXExgqmo/HCnUrIkidgMcuj0CIjfXuv0tMFFr2rXhYRAcx42Lc6Bd5YrflpjaLlvLgxMWXeFREREVHIczgKAgIOh7xMowOMRvVMAK2uIBjA2QFEREREVQeDA0SVRKOREBMtkJUlzyCQJHeAINg9Cz1KYMAizxiIiPB9hL7TKfDvt4DMLPXyieOBOkllv1l1OgVyzfJNr9Eg1xlgaigiIiIKJ0LIwQCbHXDYAZcL8uwAHWCKkv/XaiVA8gwG8JqIiIiIqKpicIAowJxOgctXAJ226GtarYToaIHsHCAnB5AkIDtbICaGN1RuublyQMBslmsMREb6PmMAAFauBvb/pV7Wuxcw8May90kI+Wem0cjFkCMifK97QERERBTKnE55ZqTdIQcEAECjlR/86/RyQECSJGi1BcEAvR6c/UpEREQUBhgcIAqgi6kCDz0sF8Ft1hR4/hn5JsqTXi/PIJADBHKyVo1GICqKN1hmsxwYyM0VsFrlWg2+1hgAgN17BFb/T72sVk3goSnlu4HNNcsj52JjAJ1eQlRUmXdFREREFFTu2QHuf56zAyJN8owAz9kB+vwZApwdQERERBR+GBwgCqDVnwukXpK/PnESWPsVMGZU0fX0eglRJoHcXPlBOCABqN4BAncqIbO5bIGBy5cF3liQXxwvn1YLPD4TiI0tZ50BqzyVXqeXEBPNkXJERERUNWVlC7l2gJBnB+j1cvFgz9kBeo90QbzmISIiIgpvDA4QBVBEhLq9fgNw70hRbGE2OS2NHCAAqneAwLPGgDuVkD+BAYtF4OVXgaxCdQZG3w+0aVP299PhKKgzEGGUEB0lFyImIiIiqpKEfJ2l1+Vf0+TPGHAHA3idQ0RERFS9aILdAaJwMvAG9Q1VZhbw2+/e1zcaJZhMgNVakGtfTjVUfeTmqosP+1tjwOWSZwycOqVe3qsnMGxo2fvlcgnk5Mqj6qKiAKPRv4AFERERUajQaoDYWHk2ZZRJQnS0hJgYOf1iXJyEyEiJgQEiIiKiaojBAaIAatZMQudO6mWr/1fyA/+ICDmHvTtAkJcnT/kWIvyDBDk5BcWHyxIYAICPPwW2bVcvq18PmD6tfFPhc3IEhAuIyU8nFB1d5l0RERERBU1EhASdXkJEhIS4OKBmTTk4YDRKTBtEREREVM0xOEAUYMNuV7fPnwdefkXOXe+N0VgQIMjOEbDmCWRlIWwDBEIIZGXJgZCcHPl/k8n/wMC33wusWateFh0NPDUHiC5HeiazWcBmk2cM6HQSYmOYc5eIiIiqpshICQm1gPh4qdhUl0RERERUfTE4QBRgfXsDjRurlx1KBua/ATidJQcIoqMBux3IzgZsNoGMzJK3qYpcLvn7sloFsrMLHsL7m7Jn4yaB95eol2m1wKx/APXqlv3G12YTMJsFTCYJBoP8M9FqeSNNREREVRcHORARERFRcRgcIAowrVbCnMeBuDj18m07gHfelR+Oe2MwSIiJBpxOuV6BzSqQkSE/sA4HDkf+92MVyMwG7A55pL9cnNl3f24TWPhO0eWTJwIdO5T95tfplOsM6I2AySQhyuR/34iIiIiIiIiIiKoCBgeIKkDt2sDMGXKqHE8bNgLvfVByuiC9XkJsrPx1ZhZgtckphiyWqh0gsFjkGQM2m0BWNgAXEBsjB0T88ec2gX/9G3C51MvvHQncfFPZH+S7XALZOfkF+6IlGCPkAAEREREREREREVE4YnCAqII0bCCnuNHr1ct/+AlYsqzkAIFWK+e51+mAnGz5wXpuLpCZKUqceRCKXC6BrGy5/xaLHBjQaoCYGDmfvz/WbxB47V+Aw6FePmwoMOL/yt5HIQRycuSAQ0x0foAmhoEBIiIiIiIiIiIKXwwOEFWgtm2AJx6Tc+F7WvcdsOyjkgMEGo38gDoiArBYgKwsAatVID295OLGocRmk9MIWfMEsnMELGbAaJADA/7k8RdC4IsvBRYuKjpj4KZBwLgx5culm5sLOJxyYECnkxAXJzE3LxERERERERERhTUGB4gqWM8eEv7xKKApdLZ9vQ5Y/H7pBYdNJgkxMXIdgoxMIM8qkJ0NZGWLkC1W7HLJxYazsuT+ZmTKhZajooCoKP8evNvtAoveA5avKPraTQOBKZPKFxiwWAqKIusNckonFiAmIiIiIiIiIqJwx+AAUSXo20fCo9OLBgh+/Al4a6FcqLcker2EuDhArwNyc4DsHIE8i0B6BmA2ixJnIFQmIQQsFnl2Q16eQE6OQE62PHMiLtb/4r4ZmQLPvgD89HPR1+66A5g6pXwP8q1WAYsFiIwEjPnFoPV6BgaIiIiIiIiIiCj86YLdAaLqov+1ElxC4K2F6tQ4m38DzBbgH48KRER4fzCt0cgzCKxWAbNZnkUQGSkAISEvDzCZSt6+orn75XTKswXMZnm5yYQy9Ss5WWD+m8DlK0VfGz8WGDa0fN+rzSbXQTAagchICSaT/8ELIiIiIiIiIiKiqorBAaJKNKC/BKNB4F9vqIvq7tgJPPUs8PQcgRo1Sn5AbTRK0OsFzBbAYpYfykdGAi6XBItFICICiIgoX6odXwkhYLXKNRGcTsBml/vlcgAGgzwi39+R/U6nwOdrgJWri9YXMBiAGdOAfteU73uz2wVycuVi0VFRcl0Hk4mBASIiIiIiIiIiqj6YVoiokvXpLeGp2fKDbk/HTwBPPAmknCk9RZBGIyE6Ss6Pr9HIqYYysgTMFnk0fFoakJMjYLdXTLohh0NOGSQfBzBbBDKy5BRCGsgFh6OjJb8DA+npchqh/64sGhhISABe+Wf5AwNy3wGdFoiOBgxGua9ERERERERERETVCYMDRBXIWymArl0kvPAsEBOtXn75MvDEHODPrb491NfpJMTGyOmGNJIcJEjPEDCbBXJzBTIzgbQ0+UG+1SrgcpUtWOByCdhs7oCAQEaGXOvAbBbIyBTIzSkICsTGSmXK23/kqMBjs4ADB4u+1r4d8K9XgWbNyh8YyM4GNFq5r4b8OgNERERERERERETVDdMKEQWYViuP7Nfo5JQ7RmPx67VtI+GVuQIvvgykphYsz8sDXnkduPsugXtG+JaWR6+XoNfLD7/zrIAlT071o9UJGAyAzSYHEuT+CWi17n7K/9wZiNzBDJdL/ud0AU6HnDIIkFP+2OyA3ZafFkkCDHrAaCpfId/1GwQWv69OtQTIfbtnhFx8uDyFh919z84GJC2UwsOxsZWTfomIiIiIiIiIiCjUMDhAFGBGowSzWcAUCeRky4VvDYbiH0DXryfh1bkCc18BjhxVv7b6f/KyGQ8L1CylDoGbTichWgcIk4DNBlhtcl0CCwBJI6DXyUEBrQ7QKoGBovsWQsDpBFxCDgw48gMErvwggU4vFxo2GORASFlZLALvLwU2/lL0tcQE4LFHgDZtyv/w3ukUyMqSAwOx0fKMgbg4BgaIiIiIiIiIiKj6YnCAqAKYTIDTKUGnk2sASJLwOrI+Pk7CS88LvPs+sHGT+rW9+4BHHgOmPyTQo7vvD7IlSYLRKM9acLkEHA75Ab/dDtjsADyzC0miyMwB9etyfn69DtBFyEV8yxMQcDt+QmD+G8D5C0Vf69gBeHymnKKovNyphNyBAb2BMwaIiIiIiIiIiIgYHCCqAEajhLw8gZgYIDsbyM4BokwCRmPxD6SNRgnTpwk0bw4s+0hdjDcrC/jnPODmmwTGjAKiovx7qK3RSDAY1AWQnU6hpA4SomhtBHe6IU0JswvKym4X+N8XwOdriqYRAoChtwLjxpQ/jZD7WNk58myJmPzAQFxsYIIbREREREREREREVRmDA0QVJDYWyMqSEBMjkJML5ObKo/gjI4t/MC1JEm4bAjRtIvDvN4GraerXf/gJ2LET+PskgV49y/dwW6uVoNWWaxdlcvSYwNuLgNMpRV+LjAQe/Dtw3bWBeXBvs8nvuy6/+LC7xgADA0RERERERERERAwOEFUYSZIQGyuQkyNBkgCzWcBiAZwugSiT99H47dtJeGO+wDuLga3b1K9dTQPmvgr06ikwbgxQr27VeNCdkSnwyX+Bn9cXnaUAAC1bADMfAerWCcz3k5cnYDbLKZCi82sMMJUQERERERERERFRAQYHiCqQJEmIiQG0WgFAgja/BoHLCURHC6+j2GNjJMx+XOCHH4EP/wNYrerXt20Hdu0GhgwWuPsuICYmNB96W60C334vF1c2m4u+rtEAdwwD7hkBrzUZ/JWbK2C1AhERgMkkwWCUUwoxMEBERERERERERFSAwQGiSmAySXKAIEeCRpLT3WRlAVFR3gsVS5KEwTcDXbsKLH4P2LNX/brDAXz1DfDjz8CttwgMGxqYAr6BYLXKgY01XwIZGcWv07QJMG0q0LxZYPrscsnvq8MORJqAyAgJJpP83hMREREREREREZEagwNElcRolAMEWVkSNBr5QXZ2NmAyCUREeH+AnVRbwnNPC/yyCfjoP0Bmlvr1vDzgf18A674DbhggcMtgoFHD4DwQv3xFDgr8+LMc/ChORATwf3cCw28HdLrA9NPhEMjJAVwCiI4BDHoJ0dEo8X0lIiIiIiIiIiKqzhgcIKpEOp2E+Hg5QKDVynUIzGbAbheIivJeLFeSJNxwvVxrYPUa4Jt18swBT3l5wHc/yP/atxO4fgDQp1fFpxyyWgV27AQ2/wZs3wG4XN7Xvf46YPT9QK1ageuTxSJgyQO0WiAuSn6PY2MDl6aIiIiIiIiIiIgoHDE4QFTJNBoJ8fFybnzPOgSlpRkCgKgoCeNGAzffJPDpZ8CW34t/GH/goPzvvQ+Azp0EunUFOnUEGtQPTO79y1cE9u4Fdu8Fdu6SAxMl6doFuHck0Kpl4B7YO53y++ZwyLMRIiPlgIBc44GBASIiIiIiIiIiopIwOEAUJFFREnQ6ASlHgk4rP+jOzgYiIgQiI0t+iF+3joTHHgHuuVvg8zXApl+LDxI4HPLD+5275HaNGkDzZgJNmwCNGwO1E4BatYD4+KIP1J1OOVXP5SvAlSvAmbPAiZPAiRNA6iXfvsduXYCRI4DWrQL7sD4vT8BsASQJiImRgwKRkYDJxMLDREREREREREREvmBwgCiIjEY5QJCTI6cZcqfIsdmBKFPJswgAoH59CTMeBu67R+DHn+Vc/5mZ3tdPTwd27JT/FabTCRgMgFYD5FkBu71s31NEBHDDAGDIYKBhgGsf2O1yGianEzAa5WCAVispAQIiIiIiIiIiIiLyDYMDREGm1UqIi5PrD0CSoNcL5JrlWQRGozyLwFstArfERAn33wuM+D+BrduB334Ddu727wG/w1G0joGvNBqgYwfg2n7ANX3kWRGB5HS6azMAWh0QGyvXFjAaUWKtBiIiIiIiIiIiIioegwNEIcJkkmAwCGTnSNDpPGYR2ACTScBoLP0BuF4v4dprgGuvkYMN23cCe/YC+/YDV68Gtr/R0XIdgy6dgJ49gBo1Av+A3unMfw+sgKQBoqIBo0GCVgdER3G2ABERERERERERUVkxOEAUQnQ6CTXiC2YRGAxybv3cXMBqFUrRXV+YTBIG9AcG9AeEEDh/ATh2HDh5Cjh5Erh4EbiaVvpsAY0GqFUTqF1brlPQvCnQtCnQuFHFFf612wXy8uSZApIGiDQBEUb5eCYTEBHBoAAREREREREREVF5MDhAFIJMJglGo0BurlyLwGaXgwTZ2YBeL5Rc+76SJAn16wH168nBAjeXSyArC8jKlkfn2+xyPv+ICPlhfKQJqBFfcUGAwhwO+ft02AGNFjBFAUaDnDYoMhKlFmomIiIiIiIiIiIi3zA4QBSitFoJsbHyjAGzWYJBD1htcu79zEzAYJBnEpTnwb1GIyE+HoiPD1i3y8ThELBY5JkCGm1B+iCNRg5UMChAREREREREREQUWAwOEIU4o1EuvGuxCEiSBINeIM8K5OUBtkx5JkFERNXMv2+3yzUFPGcKRBjloIDJBBiNDAoQERERERERERFVBAYHiKqIyEgJERECFkv+iHqjgNUmBwmyswGtVsBoBAz5aXhClcslYLUCVhvgcgIaXcFMAUlCfk0BBgWIiIiIiIiIiIgqEoMDRFWIJMkFeSMj5SCBVivXBrDZBax5gNkMmC2AQS9gMAB6fWg8ZBdCwG4HrFbAnl8AWa8HokzyjAetVk4dxJkCRERERERERERElSNowYG1a9cqX1977bVISEgo874uX76MLVu2KO3hw4eXo2dEoc8zSGCzARaLXJPA6ZTbVhtgywEgyYECvV5+GF+ZMwpcLjkgYLPlBwSEPEsgMkIOAmg0EvR6eZaA0ciAABERERERERERUWUKWnBg9uzZygjhZcuWlSs4cOzYMdX+GByg6kKS5HoERqNc1DcvT4JOJ4/CdzjyR+vbAVuuvL5WK6DTQflXnmLGnoQQcDoBp1MOBDgccsogANDmBwT0ekCnk1MHReQHCHQ6BgWIiIiIiIiIiIiCIahphYQQAU0hEuj9UcXKyMjArl27cPHiReTk5KB27dpo0KABunXrBo1GE+zuVTk6nYToaCAqyj17QILdBkSK/FH8DsCeP4rfas3fSBLQaACtBtBqAUkCNBr5/+JOJSHkfy5XwT9n/v8Q8joaLaDXAbpI+X+NRg4IGAzIr4nAc5SIiIiIiIiIiCjYghoc4IP86unUqVOYP38+Nm7cCLvdXuT12rVrY+TIkZg8eTIMBkMQeli1ec4mcOf6t9sl2OyAM//tdLkEHPkj/V35/9vs6of8JR8ESlBBr5MDAjqtPBvBfV7rdPJsAbn2Ac91IiIiIiIiIiKiUBIWBYmFKHiayYBDaPvqq6/w3HPPwWw2e13n0qVLWLhwITZs2ICFCxeifv36ldjD8CJJEgwG+QF9FPKDAg7A4ZDgcMhBAWehgIAQQpkdUFjBrAKP80zKn3mgKwgQhEohZCIiIiIiIiIiIipeWAQHPB80R0ZGBrEnVJLNmzdj9uzZcDqdyrImTZqgd+/eiI+PR0pKCjZu3Ii8vDwAwIEDBzBlyhT897//RXR0dLC6HVY0moJggSeHQ3ikC5KU9EHuuJv7Ob873ZBGU/AvUHULiIiIiIiIiIiIqPKERXAgOTlZ+TouLi6IPSFvLl++jJkzZyqBAUmSMGvWLIwdO1ZVXyAtLQ0zZszAtm3bAABHjhzBc889h/nz5wel39UFCwMTERERERERERFVL1W+6uuZM2ewatUqSJIESZLQvHnzYHeJivHuu+8iOztbaT/88MMYP358kcLDNWvWxJIlS1Q/x3Xr1qkCQERERERERERERERUPhU6c2DOnDk+rbd06VJ89dVXfu3bYrHg7NmzSE5OhtPphBACkiShd+/eZekqVaCrV69i1apVSrtRo0aYPHmy1/WNRiOeeeYZjBs3DoCcA3/RokVYsGBBRXeViIiIiIiIiIiIqFqo0ODAF198UWJRUnch4S1btpRp/+7t3ccwmUwYPnx4mfZFFWf9+vWw2WxKe8SIEdDr9SVu07dvXzRt2hQnT54EAGzatAkWi4U1JYiIiIiIiIiIiIgCoEqnFXKnEhJCwGg0Yt68eUhISAh2t6iQDRs2qNqDBw/2aTvP9fLy8socRCIiIiIiIiIiIiIitQovSOwe3V/edYqj1WrRpEkT9OvXD/fddx+aNGlSpv1QxdqxY4fydUJCAho2bOjTdl27dlW1t2/fjkGDBgW0b0RERERERERERETVUYUGB9avX1/sciEEBg0apKQDev3114s8CC6JRqNBZGQkoqOjodNVeHyDyuHSpUuqQsRt27b1edt27dqp2sePHw9Yv4iIiIiIiIiIiIiqswp9sl6/fn2f1qtVq5bP61LVcuLECVW7Xr16Pm+bkJAAvV4Pu91e7L6IiIiIiIiIiIiIqGyCNuze8yFxREREsLpBFSw1NVXVTkpK8nlbSZKQlJSEs2fPFrsvIiIiIiIiIiIiIiqboAUHCheppfCUm5urakdFRfm1vef6DocDNpsNBoPB5+3dqauIfOX5meHnh/zFzw+VFT87VFb87FQtlfkz4meDyDueH0Te8fwgKlm4nSNM2E8VymKxqNpGo9Gv7Quvn5ub61dwID4+3q/jEXmKi4sLdheoCuPnh8qKnx0qK352Ql+wrk352SDyjucHkXc8P4hKFg7niCbYHaDwlpeXp2r782C/uPWtVmu5+0RERERERERERERU3XHmAFWowiP/3cWFfWWz2VRtf4MLGRkZfq1PJEmSEvnNzMyEECLIPaKqhJ8fKit+dqis+NmpeIEc7V+Z16b8bBB5x/ODyDueH0QlC/Y5EuiZqCEVHEhLS8Nff/2FixcvIjs7G3l5eWV6g6dNm1YBvaOyMJlMqnbhmQSlKTxTwN+aBfwjRuUhhOBniMqMnx8qK352qKz42Ql9wfr58LNB5B3PDyLveH4QlSwczpGgBwdcLhdWrVqFVatW4dChQwHZJ4MDoaNwcMBsNvu1vWdBY51O53fNgho1avi1PpEn1qyg8uDnh8qKnx0qK352Ql+wrk352SDyjucHkXc8P4hKFg7nSFCDA+fPn8e0adOUoIBnpKUs1Z6FEGFRJTqcJCUlqdoXL170eVshBFJTU73ui4iIiIiIiIiIiIjKJmjBgfT0dIwbNw5nzpxRHupLkqQECKr6lAySNWvWTNU+f/68z9teuXJFVaOgadOmAesXERERERERERERUXUWtODAggULkJKSogoK1KlTBzfddBPatm2LWrVqITIyMljdowBJSkpCTEwMsrOzAcCv1FEHDx5UtZs3bx7QvhERERERERERERFVV0EJDlgsFnz++edKUECj0WDGjBmYNGkStFptMLpEFah79+745ZdfAMizAc6cOYOGDRuWut2uXbtU7Z49e1ZE94iIiIiIiIiIiIiqHU0wDrpt2zYlXYwkSZg4cSKmTJnCwECYuvHGG1Xt7777zqftfvjhB+Vro9GIfv36BbRfRERERERERERERNVVUIID586dAyDXFdBqtZg0aVIwukGVZODAgdDr9Up79erVqloCxfnjjz9w8uRJpT1gwACYTKYK6yMRERERERERERFRdRKU4EBWVhYAedZAkyZNEBMTE4xuUCVJSEjA3XffrbRTUlLw/vvve13farXin//8p9KWJAkPPvhghfaRiIiIiIiIiIiIqDoJSnDAcwQ4R4NXD1OmTEFUVJTSXrhwIT766CO4XC7VemlpaZg4cSKOHTumLBsyZAjatWtXaX0lIiIiIiIiIiIiCneSEEJU9kF/++03TJw4EZIkoV69eli/fn1ld4GC4JdffsGDDz6oCgg0adIEffr0QXx8PE6fPo2NGzciLy9Peb1FixZYuXIloqOjg9FlIiIiIiIiIiIiorAUlOCA1WpFnz59YLFYIEkSNm/ejMTExMruBgXB2rVr8fzzz8NisZS6btu2bfH222+jQYMGldAzIqLKk5qain379iE1NRUWiwVJSUlo2rQpOnbsGOyuEVEQZGRk4MiRIzh9+jQyMjIghEBcXBzq1auHLl26BCwFZ0pKCg4ePIiLFy/C5XIhKSkJLVu2RKtWrQKyfyqfjIwM7Nq1CxcvXkROTg5q166NBg0aoFu3btBoKm/Cd05ODo4ePYoTJ04gIyMDdrsdsbGxqFOnDrp06YKaNWtWWl+IPIXKOUIUikL1/EhLS8OePXtw5swZ5ObmwmAwoGbNmmjUqBHatm2ryjBBVFFC6fxwuVw4duwYDh06hPT0dFgsFphMJiQkJKBdu3Zo0qQJJEmq1D4FJTgAAPPmzcPy5cshSRIeeughTJs2LRjdoCA4ceIE5s+fj02bNhVbmDgxMREjRozAlClTYDAYgtBDIqqOcnNzcfDgQezbtw/79u3D/v37ce7cOeX1+vXrY8OGDeU6xr59+/DWW2/h999/L5JWDQAaN26M0aNHY9SoUZV+QUBElcflcmHHjh346aef8Oeff+LIkSNe15UkCX379sW4ceMwYMCAMh1v8+bNWLRoEXbv3l3s661bt8akSZMwdOjQMu2fyufUqVOYP38+Nm7cWOy1ce3atTFy5EhMnjy5wq6N9+/fjx9//BG///47Dh48WOzfKLdOnTph7NixuPXWW/m3iipFKJwjvvjwww/xyiuvqJb16tULK1asCFKPqDoI1fNjw4YNWLZsGXbs2AFvjx01Gg3at2+P0aNHY9iwYZXWN6o+Qun8yM7OxpIlS/C///0Ply9f9rpe/fr1cc8992Ds2LEwGo0V2ie3oAUHcnJycPvtt+P8+fOIjIzExx9/jPbt2wejKxQk6enpSuQuNzcXCQkJaNiwIbp16watVhvs7lE1cOONN6oe/vrjxx9/ROPGjQPcIwqGDz/8EGvWrMGxY8dKfBhS3uDA0qVL8e9//xsOh6PUdfv164c33ngDcXFxZT4eVZ6KCiy1bt26zH06cOAAdDpdmbenivW3v/0Np0+f9nu7W2+9FS+++KLP6RaFEHjllVewfPlyrzfmnm677TbMmzePgzMq0VdffYXnnnsOZrO51HXbt2+PhQsXon79+gHtw/jx4/H777/7vV3fvn3x2muvoXbt2gHtD5GnUDhHfHH27FkMHTq0SD8ZHKCKFIrnR3p6OubMmYONGzf6vM2QIUPwxhtvVGCvqDoKpfNj9+7dmDFjBlJTU33epmnTpnjnnXfQvHnzCumTp6AFBwDg2LFjGDduHK5cuYL4+HjMnTsXN954Y7C6Q0TVDIMDBABTp071qfZNeYIDq1atwjPPPKNa1rZtW3Tv3h2RkZE4fvw4Nm/erAoc9O3bF0uWLOED3hBW0YElBgfCV48ePZCdna1a1qRJE3Tq1AkJCQkwGo24ePEi/vjjD1y8eFG1Xq9evbBkyRKfRhK98cYbePfdd1XLunXrho4dO0Kr1SI5ORl//PGHKnBwxx13FBn5ShVj8+bNmDJlCpxOp7KsSZMm6N27N+Lj45GSklKkHlerVq3w3//+N6D1uIYNG4bk5GTVMndKq9q1a8NkMuHKlSvYtm0bTp06pVqvefPm+OSTT1CjRo2A9YfILVTOEV9MmDABv/32W5HlDA5QRQnF8yM1NRVjx47FyZMnVcvbt2+Pdu3aISEhAXa7HRcvXsRff/2l/E1hcIACLZTOj+TkZNx///3IyclRlkmShO7du6N9+/aIiYlBZmYm/vrrryKzfBMTE7F69WrUrVs3oH0qLGh3jefPn4fJZMK///1vPPXUUzhz5gweeughdOrUCbfccgs6dOiAWrVqlWkKRb169Sqgx0QUziRJ8ivXHKfRhzeTyYT27dvjwIEDPo00KElycjJefPFFpW0wGDB37twi6TvOnDmDqVOnKulF/vjjDyxcuBCPPvpouY5PFWf79u0lpoMJJP6OCk/169fH3XffjTvuuAN16tQp8rrT6cSqVaswb948WK1WAMC2bdvw5ptvYtasWSXue9OmTarAQGxsLBYsWIC+ffuq1jt48CAefPBBJQjxxRdfoFu3bhgxYkR5vz0qweXLlzFz5kzlplWSJMyaNQtjx45VnetpaWmYMWMGtm3bBgA4cuQInnvuOcyfPz/gfUpISMCdd96JO++8E02bNi3yuhACP/zwA5599llkZmYCAI4fP47nnnsOCxYsCHh/qHoLxXPEm7Vr1yqBgcTExBLTRRAFQiieH1arFZMnT1YFBq677jo89dRTaNKkSbHbnDp1Cl9++WWRARNE5RFK54cQAs8++6wqMNCqVSvMnz+/2JpfBw8exMyZM5Xz6PLly3j55Zfx9ttvB6xPxQnazIE2bdoUuXEVQpT7ZlaSJBw8eLBc+yCi6sFz5gBHSlZfjz76KM6ePYuOHTuiY8eO6NChA5o3bw6NRqP6jJR19PeUKVNU02pfffVVDB8+vNh109LScNttt+Hq1asAgMjISPz0009ITEz0/xujClfcrJPiAkuBmDkwbdo0PPzww+XrMIWM22+/HWPHjsXw4cN9SqW4adMmTJkyRZmhotfrsX79eiQlJRW7vhACw4YNw+HDhwHI18crVqxAz549i13/5MmTGDZsmBKAqF27Nn7++edKy3NaHb300kv4+OOPlfb06dPx0EMPFbuu1WrFHXfcgePHjwOQf55r165FmzZtAtKX8ePH47rrrsP999/vU0qpAwcO4P7774fFYlGWrV69Gp06dQpIf4iA0DpHSpKWloYhQ4YgPT0dkiRh/vz5mDlzpvI6Zw5QRQjF86PwbMWxY8fiySefDOgxiHwRSufHvn37cPfddyvt+Ph4fPPNNyXe36empuK2225DVlaW0qdNmzZ5ve4PhOCVLM/nGZtwBwaEEOX6R0RE5Ks33ngDq1evxrPPPos77rgDLVu29GuEdkkOHTqkCgz07NnTa2AAAGrWrKm6obRYLFi2bFlA+kKBZzQa0alTJ9x///145ZVX8M0332Dnzp34+OOPmWKDSrRmzRrcddddPtdYGjBgAG699ValbbfbS0yHtn79eiUwAMhpY7wFBgA5p+mECROU9qVLl7B69Wqf+kb+u3r1KlatWqW0GzVqhMmTJ3td32g0qlLTCSGwaNGigPXngw8+wPjx432uNdG+fXuMHTtWteyHH34IWH+IQu0cKcncuXORnp4OABg5ciQ6d+5cKcel6isUz49jx45h6dKlSvvaa69lYICCItTOj8I1ne6+++5SB/4lJSWpAgpCCGzdujVgfSpO0IMDQNFgABERUTj4/vvvVe377ruv1G2GDh2K2NhYpc0HLqGrIgNLFN7KUg/CMzgAAPv37/e67nfffadq33///aXu/5577lEFKwr//qLAWb9+PWw2m9IeMWIE9Hp9idv07dtXlepn06ZNqpH75RGIz+O+ffsC0hciIPTOEW82b96Mr7/+GoCcTuixxx6r0OMRAaF5fnz44Yew2+0AAI1Gw8AABU2onR+FCxB36dLFp+26du2qal+6dCkg/fEmaDUH7rjjjmAdmoiIqFJ4ppLR6/UYOHBgqdsYjUZcf/31+OqrrwAA586dw6FDh9C2bdsK6ycRhb5GjRqp2leuXCl2PYfDgV9//VVp161b16d0L0lJSejSpQt27twJANi1axfS09M5C6YCFE4zNnjwYJ+2Gzx4MBYvXgwAyMvLw5YtWzBo0KCA988XjRs3VrXd6fCIAqEqnCNmsxnPP/+80p4zZw5iY2OVNBBEFSXUzo/c3Fx8++23SrtHjx5o3rx5ufdLVBahdn64U4K6RURE+LRd4fUqup5c0IID8+bNC9ahiYiIKlxWVpaqWG27du18zt/dpUsXJTgAyIVvGRwgqt5yc3NVbW+jvY8ePaoUiwWKjjwqiWdwwOl0YteuXT4FNck/O3bsUL5OSEhAw4YNfdqu8M9y+/btQQsO+Pp5JCqLqnCOvPnmm0pdqmuvvbbIbBqiihJq58fGjRuVOlsAcPPNN5d7n0RlFWrnR4MGDVTt8+fP+7Sd+++LW+FBQoHGue9EREQVwF3UyM2fh/vt27cvcV9EVP141hAAgDp16hS7Hn/3hLZLly4hOztbafvz82nXrp2qHcyfj6+fRyJ/VYVzZN++fUqRYaPRiOeee65CjkNUWCieH3v27FG1C19LEFWWUDw/+vfvr2p7zrIpybp165SvIyMj0adPn4D0xxsO8SAiIqoAJ06cULXr1avn87Z169YtcV9EVP14ziYC4PUmIZC/e06ePOnztuSb8vx8EhISoNfrlbzOwfzb4OvnkchfoX6OOBwOPP3000qqiAcffLDCR3QSuYXi+fHXX3+p2i1btgQAZGZm4ptvvsH333+PM2fOICMjA3FxcahXrx769u2L2267Dc2aNQtIH4iA0Dw/2rRpg+uvvx6//PILAOCPP/7Axx9/jFGjRnndZtmyZdi2bZvSHjt2LGJiYgLSH28YHCAiApCcnIxHH30UBw4cUPLmxsfHo0GDBujZsycGDRqENm3aBLmXVJUULj6UlJTk87aJiYnQarVwOp3F7ouqn61bt+LQoUM4fPgw0tLSoNPpUKNGDTRu3Bg9e/bE4MGD+XAijG3btk11kxATE4Nrr7222HUL/77wZ0R34XUvXrzoRy/JF+X52yBJEpKSknD27Nli91VZTp06pRRhBQCtVou//e1vQekLhZ9QP0eWLFmizJxp3rw5JkyYEPBjEHkTiueH5whro9GI6OhorF+/Hs8880yRejQWiwUXL17Erl278O677+Kuu+7CU0895XMedqKShOL5AQAvvfQS7rvvPpw5c0Zp79ixA/fccw86dOiAqKgo5OTkYP/+/fjkk0/w888/K9sOGDAA06ZNC1hfvGFwgIgIwKFDh3Do0CHVspycHJw9exZ//vknFi5ciOuuuw5PP/10kSJ8RMUpnI85Ojra5201Gg0iIyORk5MDAKo8nlQ9bd++vciyrKwsnD59Gps3b8abb76JW265BU8++SRq1aoVhB5SRTGbzXjmmWdUy8aPH4+oqKhi1y/8u8fbesUpvC5/9wReeX4+hdd3OByw2WwwGAwB6ZsvXC4Xnn76aWVkHQAMHz68SE5dorIK5XPk1KlTWLRoEQD5QdKLL75YqecfUaidHy6XS5XGJSoqCl999RWeeOIJCCFK3NbpdGLVqlVITk7G0qVLERsbW+Z+EAGhd3641a5dGytXrsTzzz+PH3/8EQDw3Xff4bvvvvO6TXR0NCZMmIC///3v0Gq15e5DaVhzgIjIR5s3b8Zdd92lTAkjKonFYlG1/b2w8CxeXPhCh6gwp9OJb775BsOHD8e+ffuC3R0KoOeffx6nTp1S2s2aNcPEiRO9rl+e3z2Fi6YzOBB4hX8+vhaq97Z+Zf99WLhwoSpYWbNmTfzjH/+o1D5QeAvVc0QIgWeeeQZWqxUAcOedd6JHjx4B2TeRr0Lt/MjJyVEFAcxmM5588kkIIaDRaDBy5EisXr0aO3fuxO7du7FmzRqMHj1aVcR+3759mDNnTrn6QQSE3vnhqVatWli4cCHef//9Umf1NmrUCG+88QamTp1aKYEBgDMHiKiaS0pKwsCBA3HNNdegdevWqFWrFgwGAzIyMnDo0CH8/PPP+OKLL2Cz2QAA2dnZmD59OlasWIHOnTsHufcUyvLy8lRtf4MDnuu7b0Sp+mncuDEGDhyIPn36oEWLFqhZsya0Wi3S0tLw119/4dtvv8X333+vpKC6dOkSJk+ejFWrVjHNUBj48MMP8eWXXyptg8GA119/vcSbnfL87im8buF9UfkF8m8DULl/H3744QcsXrxYaUuShJdffhk1a9astD5Q+AvVc+Tzzz9X0rvVqFEDjz/+eED2S+SPUDs/Cg8icPdPr9djwYIFuPHGG1Wvt2/fHu3bt8fAgQMxZcoUZf2ff/4ZP//8MwYNGlSu/lD1Fmrnh6fU1FTMnTsXP/zwQ6mzalJSUjBp0iR07doV//znP9GiRYuA9cOboAUHBg4cWCH7lSRJlZ+JiMibl19+GT179lSNXHBLTExEYmIirrvuOkyYMAHTpk3DkSNHAMh/JB599FF8//33nEpMXhV+eOeZgsEX7oBUcfui6mHp0qXo168fJEkq8lqdOnVQp04dDBo0COPGjcP06dNx4cIFAEB6ejqeeOIJfPbZZ5XdZQqgb7/9Fq+99ppq2YsvvogOHTqUuF15fvd4/t4pbl9UfoH82wD4f+NbVjt27MDjjz+uuqGdNm1akQc/ROUViufI5cuXVb+PZ82ahRo1apR7v0T+CrXzw9v2U6ZMKfHvQ9++fTFz5kzMnTtXWbZkyRIGB6hcQu38cEtOTsa4ceOQnp4OQH5ufdttt+HOO+9EmzZtEBMTg+zsbBw8eBBffPEF1q1bByEEdu/ejf/7v//DBx98gJ49ewakL94ELThw7tw5SJJUasTEX8XdQBMRFadv374+rde4cWN89NFH+L//+z+cP38egPw7bPXq1bj//vsrsotUhZlMJlXb35EHnusX3hdVD94KzhbWqVMnLFu2DCNGjFDyvu7evRubNm3CgAEDKrKLVEF+//13PPHEE3C5XMqyxx57DHfccUep25bnd0/hdfm7J/AKv6f+zs4o/DPyN59uWSQnJ+PBBx9UHfvee++tlAJ5VP2E4jny0ksvISsrCwDQq1cvn34XE1WEUDs/irtOMJlMGDduXKnb3nvvvXj33XeRlpYGANizZw/S09MZeKMyC7XzAwAyMzMxadIkJTCg1+uxcOFC3HDDDar1atasiWuvvRbXXnstbr31VkyfPh12ux0WiwXTpk3DN998g8TExHL3x5ug1xyQJKnc/9z7ISKqKLVq1SqSU/fbb78NUm+oKih8ceJPzkKXy6W6mOEDOipNs2bNMHnyZNWydevWBak3VB579+7FQw89pBrtNGHChCI/X2/K87un8Lr83RN4hd9Tf+s6eP6MdDpdhc/uSElJwcSJE5UHowAwZMgQPPvssxV6XKq+Qu0c+fnnn/HDDz8AkB/qvPDCC+XaH1F5hNr5ERERUSQnes+ePREdHV3qtgaDQTUQRgiBPXv2lKs/VL2F2vkBAO+++y4uXbqktB955JEigYHCbrzxRsyYMUNpZ2RkqNI6VoSgBQfq1auHunXr+vWvRo0a0Gq1EEKoZhzExcWhbt26yj6JiCrCzTffrLrQ2bNnT5GiN0RuSUlJqvbFixd93vby5ctwOBxKu7SiRUQAcNddd6kGS/zxxx9B7A2VxZEjRzB58mTVzczdd9+NJ554wud9lOd3T+F1+bsn8Mrz8xFCIDU11eu+Ai01NRXjxo3D5cuXlWX9+/fHa6+9Bo0m6GPMKEyF2jny6quvKl9PnjwZzZo1K/c+icoq1M4PoOi1QsuWLX3etlWrVqq2Z/+I/BVq54cQAmvXrlXaJpMJo0aN8mnb0aNHq4IdX3/9tWpGcaAFLa3Qhg0byrSd0+nEoUOHsG7dOqxatQq5ubmQJAnPP/88rrvuugD3koiogE6nQ8eOHZUHbg6HA5cuXULjxo2D3DMKRYVvHt0pqXzhzh3v1rRp04D0icJbrVq10LBhQ6SkpACQixPb7Xbo9fog94x8kZKSggceeAAZGRnKsltuuQUvvviiX/sJ5O8ePgQLvPL8fK5cuaKaUVKRfxvS0tIwfvx4nDt3TlnWo0cPvP322/ydQhUq1M4RdyoIQB4B+u677/q1/bZt29CuXTul3bNnTyxfvrzc/aLqKdTODwBo3ry56m9FXFycz9sWXjczMzMgfaLqKdTOj5SUFCVtFiCngo2IiPBp24iICHTs2BFbt24FAGRlZeH06dMVdu1X5YZ8aLVadOjQAbNmzcJXX32Fdu3aISMjA1OnTsWPP/4Y7O4RUZirVauWqu15w0DkqXnz5qr2oUOHfN72wIEDJe6LyJvCv6M8HzRT6CpuhPaAAQPw+uuv+z1CO5C/exgcCLykpCTExMQobX9+PgcPHlS1K+pvQ05ODiZOnIjjx48ry9q3b4/33nvP55taorIK5XPE6XT69K+k7Spy5CeFv1A8P1q0aKFqFy7qWpLC61Z0qjwKb6F2fly9elXVTkhI8Gv7wjUGKvLZU5ULDniqX78+lixZgjp16sDhcOCJJ57AyZMng90tIgpjhdMI8QKGvImLi1NNqz148KDPhUF3796tavfs2TOgfaPwxd9RVU9aWhrGjRunGnXXq1cvLFy4sEwjtFu1aoXY2FilXfj3SUk819VqtejWrZvfx6fSde/eXfn6ypUrOHPmjE/b7dq1S9WuiL8NeXl5+Pvf/64KFLVs2RJLly71KYc0USCE8jlCFGyhdn706tVL1fYnNVDhtC8sRkzlFUrnR+H7MF+fBbgVvq+ryFpgVTo4AMgVnR9++GEA8hv9+uuvB7lHRBTOCv9xqVmzZpB6QlXBjTfeqHxtt9uxfv36UrexWq3YtGmT0q5Xr55qOjqRNy6XSzV9Vq/Xqx4SU+hxj9A+ceKEsqxz58549913yxzY0el0qlSbFy5cwN69e0vdLjU1VVUIsGvXrvwbV0E8/zYAwHfffefTdu6iqIB8w9mvX7+A9stut2P69OnYsWOHsqxx48ZYtmwZH9hQpQqlc2THjh04fPiwz/8KX+v16tVL9fqKFSvK3Seq3kLp/ACAa665RvXQsvBD1pIUHsDAex4qr1A6PwrP6PackemLwutX5HV5lQ8OAMDgwYOh0+kghMAvv/yCK1euBLtLRBSGLly4gKNHjyrtWrVqoXbt2kHsEYW6wYMHq9qffvppqdt8/fXXyMrKUto333xzwPtF4WnXrl2qz06bNm2C2BsqTV5eHqZMmaIaod2mTRt88MEHiIqKKte+y/K757PPPlOluyi8DwqcgQMHqmaFrF69WpXntjh//PGHaob0gAEDAjqCzOVyYdasWargdN26dfHhhx/yWocqXSieI0ShItTOD6PRiEGDBintY8eOqQYbeHP8+HHs3LlTadeuXduvYsZExQml86NOnTqqa6gTJ04gOTnZp23379+PU6dOKe369etX6PVYWAQHoqKi0LBhQwByNWjP0S5ERIGyaNEiCCGUdr9+/SBJUhB7RKGuXbt2GDBggNLevn071q5d63X9tLQ0/Pvf/1baEREReOCBByqyixRGFi9erGpfe+21QeoJlcbhcGDGjBnYvn27sqxp06ZYtmyZX4X8vBk4cCBatWqltL/88kvVsQo7efIkli5dqrQTExNx9913l7sfVLyEhATV+5uSkoL333/f6/pWqxX//Oc/lbYkSXjwwQe9rn/27Fm0bt1a+Vd4FF1xnn/+eaxbt07Vx48++gj169cvdVuiQAvFc4QoVITi+TF16lTodDql/eKLL5aYQsXhcOD5559X3VuPHj261OMQlSbUzo8bbrhB1X7++edLrcthtVrxwgsvqJZV9N+psAgOAFAVnfCnIjURVT82m02VwsEXn3/+OVatWqW0JUnC2LFjA901CkOPPvqo6mL5mWeewTfffFNkvTNnzmDs2LGqwkVjxozhiM1qKCMjw698rQCwYMEC/Pbbb0o7IiIC9957b6C7RgEghMDs2bPxyy+/KMsaNGiA5cuXF5l+XFYajQYzZ85UHXPq1Kn4448/iqx78OBBjBs3TnUTP23aNBaerWBTpkxRzRBZuHAhPvrooyLFStPS0jBx4kQcO3ZMWTZkyJCApl7497//jZUrVyrt+Ph4fPjhh2jSpEnAjkHkr1A6R4hCTaidH02bNsXIkSOV9oEDBzBp0qQiNQUAOQ/8Qw89hG3btinL6tevj/vuuy+gfaLqK5TOj8mTJ6tmMuzevRsTJkxASkpKseufOHECY8eOxf79+5VlRqMREydODFifiiMJz1BdFTZo0CCcPXsWkiTh0UcfxeTJk4PdJSIKUVlZWejTpw8GDx6MO++8E3369FE9vPV0+fJlLFq0qEhKhjvuuAOvvPJKZXSXKti5c+dw0003Ffua0+lUtbVabbHrffTRR0WKcXn673//i+eff161rG3btujRowciIiJw/PhxbN68GQ6HQ3m9V69eWLZsWZkKklLw3XjjjUqB2fr162PDhg0+b3vo0CGMGDECd9xxB4YNG4Zu3bp5naWUkpKC+fPn4/vvv1ctnzZtmlKTiULLuXPnioz+0Wg0fs9Eq1+/Pn766acS1/nXv/6FDz74QLWse/fu6NixIzQaDQ4fPozff/9dNXLv9ttvZw2vSvLLL7/gwQcfVN2sNmnSBH369EF8fDxOnz6NjRs3Ii8vT3m9RYsWWLlyZYnFgc+ePYuBAwcq7dJ+B7Vu3VrVliQJGo3/Y8gOHjzo9zZEJQmVc8Qfhffdq1cv1hmgChFq54fNZsO4ceNUqYKMRiOuueYatGjRApIk4eTJk9iyZQvMZrOyTmRkJD755BO0b9/e5++dqDShdH6sXLkSzz77rGqZVqtF9+7d0a5dO0RHRyM7OxsHDhzArl27igQxXn31VQwfPtyXb7vMin8aVsWkpKQogQGAFc6JqHROpxPr1q3DunXrEB0djbZt26JZs2aIi4uDXq9HZmYmkpOTsXfv3iI56nr06IEXX3wxSD2nQBNCFAkCeONtvdLi7Pfeey+ys7Px1ltvKQGAQ4cO4dChQ8Wu36dPH7z11lsMDIQ4XwNL586d8zoCxVtgyWazYeXKlVi5ciXi4+PRrl07NGnSBLGxsdBoNEhPT8dff/2FAwcOFLmAvOWWWzBt2rRyfGdUkYr7fVH4Z+gLX35vzZw5E3l5eaoHUzt37lTduHsaMmSIamo1Vazrr78e8+bNw/PPPw+LxQIAOHXqlCrHrKe2bdvi7bffLvGmNRD8+btIVJFC9RwhCgWhdn4YDAYsWrQIM2fOxJYtWwDI6VE2btyIjRs3FrtNYmIiFi9ezMAABVwonR/uWTVz585VghFOpxPbtm1TzaApzGQy4ZlnnqnwwAAQBsEBIQTmzp2rfC1JEouYEJFfcnJysH379hLzMbvdd999mDVrFgwGQyX0jMLJ5MmT0bt3b7z55pv4888/i30Y2LBhQ4wePRpjxoxhPYsqoDICS4CcZuj333/H77//XuJ6Wq0WU6dOxYMPPsjPDwGQZyQ8/fTT6N+/PxYtWuS1QGCrVq0wceJEDBs2rHI7SBg+fDg6deqE+fPnY9OmTcUWzUtMTMSIESMwZcoUXn9QtcNzhMi7UDs/4uPjsXTpUqxcuRIrVqxQpWspvN7IkSMxYcKEgNRaIipOKJ0fI0eORJ8+ffDhhx/iq6++Qm5urtd1o6OjMWzYMIwfP16pr1vRqnRaoVOnTmHu3LnYvHkzJEmCEAI1a9bEli1beFNMRF7ZbDa888472Lp1Kw4cOFBqQRiTyYRBgwZhzJgx6NixYyX1ksJZamoq9u7di9TUVOTl5aF27dpo2rQpOnXqFOyukR8KTysti//85z/o3bu3all6ejree+89bNu2DYcPH1almypOXFwcbr31VowePRrNmjUrV38ovJ0+fRoHDhzApUuX4HQ6kZSUhJYtWxZJK0PBkZ6ejl27duHixYvIzc1FQkICGjZsiG7dunlNa0dUnfAcIfIuFM+P5ORkHD9+HKmpqXA6nahRowZatmyppDckqiyhdH44nU4cPnwYR44cQUZGBsxmM0wmE+Lj49G6dWu0atWq0vsUtODA22+/XabtrFYrrly5gkOHDuHw4cMACkbdSZKEWbNmYdy4cYHqJhGFOYfDgZMnTyIlJUX5Q+FwOBATE4PY2FjloQlvOIgoGGw2G44dO4azZ8/i0qVLyM3NhcvlQmxsrHIB2bx5cw6KICIiIiIiIr8FLTjQpk2bct3IegYE3O3rr78eixYtYgSSiIiIiIiIiIiIiKgEVfYpuiRJSiohSZIwatQoLFiwgIEBIiIiIiIiIiIiIqJSBLUgcXkmLUiShCZNmmDAgAH4v//7P7Ro0SKAPSMiIiIiIiIiIiIiCl9BSyu0bds2v7eRJAlGoxFRUVGoW7cuTCZTBfSMiIiIiIiIiIiIiCi8BS04QEREREREREREREREwcEE/URERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1Ywu2B3wJITAb7/9hh07dmDPnj24cOECMjMzkZubi6ioKMTFxaFevXro3LkzevXqhX79+gW7y0REREREREREREREVY4khBDB7oQQAitWrMDy5ctx/vx51fLCJElSvq5fvz7GjRuH+++/X7WciIiIiIiIiIiIiIi8C3pw4MKFC3jsscewe/duVTCgpIf9hdfr1q0b/vWvf6Fu3boV2lciIiIiIiIiIiIionAQ1ODA5cuXce+99+LcuXMQQigBAc8uaTQaGI1GWK1WuFwuZXnhdRs1aoRPP/0UCQkJlfgdEBERERERERERERFVPUELDgghMGLECOzfv1/1oL9u3bq4/fbb0bdvX7Rp0wbx8fHKNhkZGUhOTsaff/6Jr776CufPn4ckSUqAoHPnzli5cmUwvh0iIiIiIiIiIiIioiojaMGBtWvXYvbs2crDfZ1OhxkzZmD8+PHQ6Uqvk+xwOLB8+XK8+eabcDgcysyDefPmYfjw4RX/DRARERERERERERERVVFBCw7cfvvtOHr0qBIYeOeddzBgwAC/9/Prr7/iwQcfhNPphBACrVq1wldffVUBPSYiIiIiIiIiIiIiCg+aYBz04sWLOHLkCAC5dsCECRPKFBgAgP79++OBBx5QUgsdPXoUFy9eDFhfiYiIiIiIiIiIiIjCTVCCA3v37gUg1xjQaDQYNWpUufY3evRoaDQapXaBe/9ERERERERERERERFRUUIIDV65cASDPGqhfvz4SExPLtb/ExEQ0aNBAmT3g3j8REVFl27p1K1q3bq38W7hwYbC7RERERERERERURFCCAzk5OcrXcXFxAdmn535yc3MDsk8iIiIiIiIiIiIionAUlOCA+0G+EAJXr14NyD7T0tKUr2NjYwOyTyIiIiIiIiKqPGfPnlXNwpw9e3awu0TkF8/P7+jRo4PdHSKiEgUlOJCQkKB8feHCBZw5c6Zc+ztz5gzOnTun1Bzw3D8REREREREREREREakFJTjQrVs3SJKkPMxfsmRJufbn3l4IAUmS0K1bt3L3kYiIiIiIiIiIiIgoXAUlOFCzZk106tQJgPxAf9WqVVizZk2Z9rV27VqsWrVKCTZ07NgRNWvWDGR3iYiIiIiIiIiIiIjCSlCCAwAwadIkZaS/EAJPPfUUXn75ZVWx4pLk5ORg3rx5ePLJJwHIQQb3fomIiIiIiIiIiIiIyDtdsA48aNAg9OvXD1u2bFECBB9//DH+97//4W9/+xv69OmD1q1bo0aNGoiMjITFYkFGRgaSk5Px559/4qeffoLZbFYCDJIk4ZprrsGgQYOC9S0REREREREREREREVUJQQsOAMBbb72FUaNGITk5WQkQmM1mfPnll/jyyy9L3NY9U8C9Xdu2bfHWW29VRreJiIiIiIiIqArJysrC7t27cenSJaSnp8NgMKBmzZpo164dWrRoEfDj7du3D6dPn0Zqaio0Gg0aNWqE3r17IyYmpsTtrFYrdu7ciePHjyM3NxexsbFo1qwZevToAZ0ucI9wUlNTsWvXLpw/fx5OpxOJiYlo2bIlOnToEJD9CyFw+PBhHD9+HFevXoXFYkGNGjWQlJSEHj16ICoqKiDHccvNzcWuXbtw6dIlXLlyBUajET179kT79u29bmO1WnHs2DEcP34caWlpsFgsiIqKQnx8PFq1aoVWrVpBowlawo2QsH//fqSkpODy5cuwWq2oV68ehg4dWup258+fx19//YUrV64gKysLMTExSEhIQLdu3ZCYmFgJPSciXwU1OBAdHY3ly5fjmWeewY8//qgUKAYKHv4Xxz1TQAgBIQT+9re/4aWXXkJ0dHRldJuIiKhckpOTsX//fqSlpcFgMCAhIQFdu3ZFgwYNyrVfl8uFffv24dSpU0hLS4PT6UStWrXQoEEDdO3aFXq9PkDfQeVLSUnB4cOHcenSJWRlZaFGjRq49dZbS73BJiIioqrhxhtvxLlz54os/+KLL/DFF1943W7evHm48847vb6+YcMGLFu2DLt374bD4Sh2nXr16mHs2LG47777YDAYSu3r1q1bMWbMGKU9bdo0PPzww3A6nfjkk0/wySef4NSpU0W2i4yMxH333YcZM2bAaDSqXsvJycHixYvx2WefFZtuuWbNmpg5cybuvvvuUvsHAKNHj8a2bduU9uHDhwHI16Gvv/46tmzZUuxzl0aNGuHBBx8s8T0tSVpaGt577z2sW7cOly9fLnYdvV6P/v37Y8aMGWjTpo1P+/X2/Rw7dgyLFy/G+vXrYbFYVNuMGTOmSHDg4sWLWLduHX755Rfs2bMHNpvN6zHj4uJw5513Yvz48UhKSvKrf27btm1D69atvW7n/ux48ly/V69eWLFiRYnH9jR79mzV+bJ+/Xqv9xhr1qzBnDlzlLb7XMrLy8PSpUuxZs0anD17VrVNTEyM1+CAzWbDf//7X6xatQrHjh0rdh1JktC+fXtMnToVAwcO9Pn7IqKKE9TgACD/sl2wYAF++OEHfPjhh9izZ4/q9eICBu7/u3btigceeAA33XRTpfWXiIiorL755hu8/fbbOHnyZLGvd+7cGU888QR69Ojh136vXr2Kd955B+vWrUNGRkax60RFReGmm27C9OnTUb9+fZ/26+0mzBfebjaKc/bsWdXNwR133IFXXnkFAPDll1/i448/xr59+4ps17lzZ7Rt29bnPhEREVH1cfXqVTzyyCPFPrAt7Pz585g3bx7++9//4oMPPkCjRo38Pp7ZbMa0adOwZcsWr+tYLBYsXboUe/fuxdKlSxEREQFAHgQxadKkYgMKbmlpaXj66adx9OhRpfaiv7755hvMnj0bdrvd6zopKSmYM2cOfvzxRyxYsMCnYInb6tWrMW/ePOTm5pa4nt1ux4YNG/DLL7/goYcewrRp03w+hqevvvoKTz75ZInfj6fk5GQMHz68xMGonjIzM/Hhhx/i888/x/z58zFgwIAy9bMqOXfuHCZPnuz14b43e/fuxcyZM4sEEwoTQuCvv/7C1KlTccMNN+Df//43TCZTebpMROUU9OCA280334ybb74Zx48fx7Zt27Bv3z6cO3cOWVlZMJvNMJlMiI2NRf369dG5c2f07NkTzZs3D3a3iYiISmWz2fDkk0/i66+/LnG9vXv3YsyYMfjnP//p82itb7/9Fk8//XSpN2G5ublYu3Ytvv32W8yePRv333+/z/0PBpvNhsceeww//vhjsLtCREREVcypU6cwYcKEIg8qJUlCvXr1UKNGDdhsNpw9exZms1m13ciRI/Hpp5+iadOmPh9PCIGZM2eqAgO1a9dG7dq1kZeXh5MnT8LpdCqv7dixAy+//DJeeuklXL16FWPHjsX58+eVPjZo0ADx8fHIyMjAmTNnVMdavnw5OnTogNtvv92v9+TPP//ErFmzlNkTWq0WDRo0QExMDC5duoRLly6p1t+4cSMefvhhvPPOOz6lM3rzzTexePHiIsujo6NRt25dREZG4urVq6rZIS6XCwsXLkRGRgaefvppv76fTZs2YdasWXC5XAAAjUaDBg0aIC4uDmlpabh48WKRbex2e5HAgF6vR926dREdHQ2dToesrCycPXtWNcskOzsbU6ZMwYcffog+ffr41c+qJCcnBw888IAqSFWrVi0kJSXBZrMpn9HCNmzYgEcffRR5eXmq5Xq9XvmM5eTkICUlRfW+bty4EWPHjsXHH39cZCYNEVWekAkOuDVv3hzNmzfHvffeG+yuEBERBcTs2bOxbt06pR0XF4c6depAp9PhzJkzyMrKUl5zOp14+umn0aJFC3Tq1KnE/a5atQrPPfecclPkZjKZUL9+feh0OiXQ7maz2fDiiy8iPT29zKO0KsPs2bNVgYGoqCjUq1cPer0eFy5cQHp6ehB7R0RERIH2+uuvw2q14sqVK3j88ceV5ddeey0mTJjgdbvC9QIsFgumTp2qCgw0aNAAkydPxuDBgxEXF6csdzgc+P333/Hmm2/iwIEDAOQR+o8++ihWrVrl86j5tWvXKg+9b7vtNkydOlU1mDE9PR0LFizAp59+qixbvXo1Ro0ahddeew3nz5+H0WjExIkTce+996pysp84cQLPPvsstm/frix77bXXcMstt/iVMvLJJ5+Ew+GAXq/HlClTcN9996FmzZrK68nJyXjzzTexceNGZdkvv/yCZcuWYfLkySXu+3//+58qMCBJEoYNG4ZRo0ahffv2qrz9qamp+OSTT7Bs2TJlxP+KFSvQrVs3DBkyxK/vx+VyISYmBg899BCGDRum+n6uXLni9WF2r169MHDgQPTr1w9NmzYtEvywWq349ddf8d577ymzV10uFx5//HF8//33xdZLmDVrlnLNPX78eGV569atMXv2bK/fR8OGDX3+nivae++9hytXrgAAhgwZgr///e+qtE92ux2///67apujR48WCQz06NEDkyZNQt++fVUP/XNycvDtt9/irbfeUo6zb98+zJ07Fy+88EJFfmtEVIKQCw4QERGFky+//FIZ8dW/f39MmzYNnTt3VtLmOZ1ObNy4ES+88IIyYsvpdOKll17C6tWrve73wIEDePHFF1WBgXr16uGJJ57AwIEDlZtZp9OJ33//Ha+++iqOHj2qrLtw4UJ07NgxJKdH//rrr8oNQ4cOHfDoo4+iT58+qhu3PXv2lJr7lYiIiKqO7t27A0CR0f6JiYm45pprfN7PK6+8guPHjyvtG264AfPnzy/2ga5Op8N1112HPn36YObMmfjpp58AAIcOHcKnn36KcePG+XRMd2Bg1qxZeOCBB4q8XqNGDTz33HPIy8vDmjVrAMizDR599FEcP34cJpMJH3zwQbGpJZs1a4YPPvgAd911l/J9Xb58GZs2bcKgQYN86p+7jwaDAe+//z769u1b5PU2bdrg3Xffxbx58/DRRx8py9955x3cdtttqFevXrH7PXPmDF566SWlHRERgQULFni9xkxKSsLMmTPRv39/TJw4UXmo/M9//hMDBw70eQT5lStXkJiYiOXLlxebVSIhIQEJCQmqZfXq1cM333yDli1blrhvo9GIQYMG4cYbb8Szzz6rXJNfunQJX375Je67774i23gr5BwXF+fX5zeY3NffTz75JMaOHVvkdb1er/q5OhwOzJw5UxUYePjhh/HQQw+pUoS7RUdHY8SIERgwYADGjBmjzFD47LPPMHLkSLRr1y7A3xER+aJ6l10nIiKqYO7AwNSpU7FkyRJ06dJFdbGs1WoxaNAg/Oc//0FkZKSyfN++fUhOTi52n0KIIvli27Rpgy+//BK33HKLapSbVqtF//79sWbNmiLToJ966qki039DgfvGZPDgwVi5ciWuvfbaIiO6unTpohodRkRERHThwgV8/vnnSrt169ZYsGBBsYEBTwaDAa+//rqqLtN//vMfVSqg0gwZMqTYwICnRx55RDWK3v2wf86cOSXWnIqMjMTUqVNVyzZv3uxz39weffTRYgMDnmbPno2uXbsq7by8PHz22Wde1//ggw9UhYDnzp3r0+CTnj174oknnlDaV69exVdffVXqdp7mzZvnV7rpWrVqlRoY8KTRaPDss8+qalC4gzvh6tZbby02MFCcH374AUeOHFHaI0eOxLRp04oNDHhKSkrCggULVOfCsmXLytZhIio3BgeIiIgq2MCBAzFjxowS12natClGjRqlWubtpm/Lli2qC/HIyEgsXrwYsbGxXvdvMBjw9ttvq6apX758udQ6CMHSsGFDvPrqqz7luCUiIiICgE8++USV0/yJJ57wOTVQZGSkaqbAuXPn8Ndff/m0rSRJmD59eqnrJSUlFRlhXr9+fdx1112lbnvDDTeoHqYePHjQp755Hnv06NGlridJEv7xj3+olq1Zs6bYIr4ZGRn48ssvlXbXrl1x6623+tynESNGoFatWkr7hx9+8Hnb7t27o3///j6vX1YGgwGDBw9W2ocOHQrJwTWBUto9i6fly5crX0dGRuKxxx7zedvWrVtj4MCBSnv9+vV+BeOIKHCCFhxwOBzYvn278i81NbVM+0lNTVXtx9eq80RERJVl5syZPq1XOM+qO/dtYYXTDY0dO9brVG9PMTExReoMrFq1yqe+Vba///3viIiICHY3iIiIqArZtGmT8rW/6YgAoF+/fqr2jh07fNqudevWPhcwLjxyfdCgQdBqtaVuFxUVpZrZcOHCBZ+O53brrbf6XKOgR48eqlz4ly9fxokTJ4qst23bNtWDcn+LJOv1evTu3Vtp7969u0gtLW/8CUKUV4MGDZSvHQ6HapBOOOnYsSMaN27s07rp6elKPQYAuP7661X1PHzheb6ZzWa/A15EFBhBG473448/KlFFjUaDb7/9tkz7MZvNGDt2rBIUWLRoEW644YaA9ZOIiKg8WrVqVaRQnjctW7aETqdTRrxdvHix2PUKguc7jQAAqfZJREFU36j6MtrM7bbbbsO8efOUG7kDBw7AYrGoUhoFm1arxS233BLsbhAREVEVkpmZqaqv1K5dO9VIe18UHmzhWbugJO3bt/f5GPHx8aq2P3nW4+PjlZSVOTk5Pm8HyEV4/dGzZ0/lWACwf//+Iil8Cl+Tesu7X5K6desqX+fk5CA1NVW1zJtOnTr5fSxPFosFGzZswNatW5GcnIzz588jNzcXFoul1EGn6enp5Tp2qPLnPd25c6fqfSrLz764861jx45+74eIyidowYH//e9/yi+S66+/3ufoZGFNmzbFddddh19++QUA8PnnnzM4QEREIcOfC2W9Xo+YmBjlhiM7O7vIOmfPnlVy8gPyVHTPPKiliY6ORocOHZSbOafTif379/t9w1iRmjVrhujo6GB3g4iIiKqQkydPqh5Wbtq0Ca1bty7XPjMzM31az586SIUHZJR1W39T2/iTax+QB7h4KlwoGigaPLn77rv9OkZxMjMzfQoOeI7m94fdbseHH36Id999F7m5uWXaR3HX6OHAn/e08EyS119/Ha+//nq5ju/r+UZEgRWUtEIWiwXbt2+HJEmQJKnc08GGDh2qfP3HH3+oCjQSEREFk2ceVV+YTCbl6+Ju+s6fP69qF75x80WbNm1K3GewlfVmj4iIiKqvjIyMgO/T14fARqOxzMcoz7b+KDxjwd/1s7KyiqwTzPe8LANJ8vLyMHHiRMyfP7/MgQEAsNlsZd42lPnznlbE7IlwDboQhbqgzBw4dOiQ8stUkiT06dOnXPvr27ev8rXFYsHhw4fLNKWJiIgo0AJ9w1f4xqxGjRp+76PwNsXd7AVTVFRUsLtAREREVUxFXM+EU01Df1NIFl7fbDYXWaciHub6WnPA1/oJnl544QX8+eefqmU1a9ZEr1690KZNG9StWxfR0dEwGo2qOhC//fYbli5d6vfxqhqdzvdHhBXxsw+n842oKglKcODkyZPK17Vr1/ZrGl1xatasidq1a+PSpUsA5OlNDA4QEVE4KjzKyXOmga8K3+yVZ+RURSjLzR4RERFVb4Wvb3r37o0pU6aUa5+xsbHl2j6UWCwWv0aGWywWVbu4a86IiAhVe968eahTp07ZOpiv8AzXQDl06BC++OILpa3X6/GPf/wD9913HwwGQ4nbpqSkVEifqrLCP/uxY8fi+uuvL9c+PYtgE1HlCUpwwJ1HTJIkv9MteJOQkKAEB9LS0gKyTyIiolBTeFR9caO4SlP4Zo8j9YmIiKiqKzwz0mg04pprrglSb0JPenq6X8GBwimDiguUFH7PW7RoUe5CwRXlu+++U41Mf/jhhzFu3Diftq1KufALX+dXlMI/+8TERJ5vRFVUUGoOeNYE0GgC0wXP/fhbmIeIiKiqKHxjVpZcr4VzhFbEqLjKujEhIiIiAorWLOJob7WjR4/6tf6RI0dU7eJqQhVedvr0af87Vkn27NmjfK3RaHDPPff4vK2/7115eaYl9ff5VmUNluX5RhQ+ghIccBe2EUIE7BeX535iYmICsk8iIqJQU69ePVX78OHDfu8jOTlZ1a5fv36x6xWul+DPzUlFFCkjIiKi8Fd4AKGvecjr1KmDxo0bK+1Tp07hwoULAe1bVbZ9+/Zyrd+xY8ci6/Tu3VvVLpzPP5RcvXpV+bpmzZqIi4vzaTuXy+X3eydJkvJ1WfLoe87w8Ox3aVwuFw4ePOj38cqicO3QUP7ZE1HJghIc8KwxcPHiRb9+2RXn6tWruHDhgvILuLw1DIiIiEJVgwYNkJCQoLTPnTuHM2fO+Lx9Tk4O/vrrL6Wt0+m81ukpPPX8ypUrPh9n//79Pq9LRERE5Fa4doA/sxH79++van/88ccB6VM4WLdunSqLQ0l27Nihur5MTExEs2bNiqx3zTXXqIrYfvvttyE7QMTzIb2v7wMAbNiwARcvXvTrWJ6f4bLMpvUcDHT+/HmfZwpv3rwZOTk5fh+vLJKSktCqVSulnZKSgk2bNlXKsYkosIISHHA/hJAkCUIIfP/99+Xa3/fffw8hhPLLvnXr1uXuIxERUajq2bOnqr1mzRqft123bp1qBkCHDh2K3IS7FZ6lcOjQIZ+OkZaWxtFDREREVCbR0dHQarVK++zZsz5vO27cONXD6o8//hgHDhwIaP+qqtTUVKxYsaLU9YQQ+Ne//qVadscdd6hGw7slJCTg9ttvV9pmsxkvvvhi+TtbATwH12RmZuLYsWOlbpObm4tXXnnF72O5s2UA8kAef7Vr10752tdnZna7HQsWLPD7WOUxYcIEVXvu3LnIzs6u1D4QUfkFJThQt25dZbqfEAKLFy8uc3QzOzsbixcvVv5Q1atXr9iINhERUbi4++67Ve2PPvrIpxFNOTk5WLhwYYn78tS+fXtV+7vvvvOpf4sWLWL9HyIiIioTvV6PJk2aKO3k5GSf85k3bNgQd911l9LOy8vD3//+d+zevduvPvzxxx945pln/NqmKnjjjTdKHcDxyiuvqN4vo9FYYn7+qVOnqgaafPvtt3j22Wdhs9l87ldGRgYWLVqEDRs2+LyNv7p27apqv/7663C5XF7Xt1gsePjhh/2aoevWokUL5ev09HRs3brVr+0HDBigar/zzjslpuR2OBx49tlnKz0QNnToULRs2VJpnzp1CpMmTUJqaqrP+7Db7fjiiy/w/vvvV0QXicgHQQkOAHLkWQgBSZJw9epVPPjgg34/SMjLy8PUqVNx5coVZV/Dhw+vmA4TERGFiGuuuUY1S85sNmPq1KkljtSx2WyYMWMGLl++rCxLTEzE0KFDvW7Tt29f6PV6pf3dd99hx44dJfZt9erVnMJPRERE5dKvXz/la6fTifvvvx9vv/02fvrpJ2zZsgW///678u/SpUuqbZ988knVyOvLly9j1KhRmDNnDvbs2QOHw1HkeLm5udixYwfeeOMNDB48GOPGjcOWLVsq7hsMgvr168Nms2HixIl4++23izxsPnz4MKZMmYKPPvpItfyhhx7yWp8KkAMyL7/8smrZypUrMXToUKxatarYtJRCCKSkpGDt2rWYNm0aBgwYgLfeesvn9Dllcfvtt6vqWfzyyy+YMmVKkRkEVqsV33//PYYNG6Z8Bpo3b+7XsTw/vwAwbdo0/Otf/8J3332H3377TfX5LS74MGDAACQlJSntS5cuYdSoUdi6dasqPZLD4cCWLVtw3333KTOJiyscXVG0Wi0WLFigqvu5e/duDB06FAsWLMDJkyeL3e7KlSvYuHEjnn32WVx33XWYPXs2Tpw4UVndJqJCdKWvUjHGjBmD5cuXK7/8d+zYgTvuuAMvvPACevXqVer2W7duxXPPPYfTp08r6Yni4uIwfvz4Cu45ERFRcEmShHnz5mHkyJFKztQDBw5g2LBhmDVrFm644QYYDAYAcmGyP/74A6+88gqOHDmi2s/cuXOLFB32VLNmTQwaNEiZMeByuTBlyhQ8+eSTuO2225RjAPIN5QcffICvv/4aANCoUSOfR/kRERERebrvvvuwcuVKWK1WAPLD0cKzH93mzZuHO++8U2lHRERg8eLFmDRpknLt43A4sGbNGqxZswYmkwl16tRBTEwMLBYLsrKykJqaWqbCsVXJ3LlzMWHCBNjtdixcuBCLFy9GgwYNEB0djcuXLxc72vvaa6/FAw88UOq+b731Vly6dAmvvfaaMhr/1KlTeOaZZ/DMM8+gbt26qFGjBrRaLbKzs3H58mXk5uYG/HssSfPmzXHPPffg008/VZZt2rQJmzZtQt26dZGYmAiz2Yxz586p6gT07NkTw4YNw9NPP+3zsYYPH453331Xqb+QlZWFDz74oNh1p02bhocffli1TKfT4amnnsL06dOVZcePH8eYMWNQq1Yt1K1bFzabDefOnVO9j5MnT8bly5f9SsVVXs2aNcPbb7+N6dOnIzMzE4Cctumdd97BO++8gxo1aiAxMRGRkZHIyclBenp6ibMgiKjyBS04YDKZ8NJLL2H69OlKvYCTJ09i7NixaNmyJa677jp06NABtWrVgslkgtlsxtWrV/HXX39h8+bNOHr0qDJbQAgBjUaDf/7zn0WKJxIREYWj9u3b49lnn8Vzzz2n3ISdO3cO06dPR1RUFOrXrw+tVovz588rF+qeHn74YVx33XWlHufxxx/Hpk2bYDabAcjp/ObMmYOXXnoJjRo1glarxcWLF3H16lVlm549e+L2228Py+n4REREVPGaNm2K1157DXPmzFGuQfxRp04drFy5Es899xy+/vpr1YN/s9ns0yjlunXr+n3cUNanTx+89tprmDVrFux2OxwOB06dOuV1/QEDBmDBggWqWaQlGT9+PFq0aIE5c+aoZqoCwIULF3DhwoUStzcYDKhVq5ZPxyqrOXPm4MKFC9i4caNqubf+9e7dG2+//TZ+/vlnv44THx+PhQsXYsaMGaprZH/cfPPNmD59epE6AlevXi12nw888ABmzpyJOXPmlOl45dGnTx98/vnnmDlzJvbv3696LT09vdQi1ZIkoU6dOhXZRSIqQdCCAwAwaNAgPP7443j11VeVmgFCCBw5cgRHjx71up37D7s7MCBJEmbNmoVBgwZVSr+JiIhCwYgRIxAdHY2nn35aNWooNze3yCwBN4PBgNmzZ+P+++/36Rj169fHggUL8PDDD6tGUZnNZiQnJxdZv0+fPsq0fyIiIqKyGjx4MLp164a1a9di69atOH78ODIzM2GxWHwa5W8ymfD6669jwoQJ+OCDD7B582ZkZWWVuE2zZs1w7bXXYsiQIUVy1IeDW2+9Fc2bN8drr73mNW1Sw4YN8eCDD6pqN/iqf//+WL9+PVatWoXVq1fjyJEjJf6sTCYTevXqheuvvx5DhgxBXFyc38f0h8FgwKJFi/Cf//wHS5YsKRLEcKtfvz4mTJiAe++9V5WKyB89e/bEd999h2+++Qa//vorjh49ivT0dFgslhJrHXh66KGH0K5dO8yfP9/rM7I2bdpg5syZReoUVLZGjRrh888/x4YNG7B8+XLs3LlTmeFcHK1Wi06dOqF///64/fbb0bBhw0rsLRF5kkQIzJ37+eef8eSTTyIrK0sJEgAo9o9I4dfj4uLwyiuv4IYbbqiUvhIREZVk69atGDNmjNIubqpwSW688UacO3cOgHxj4kthtqtXr+Kdd97BunXrvOZqjYqKwk033YSHH364TLlIjx49ildffRW//fZbsX+fExMTMWnSJIwaNQparRZr1qxRjVwqPOXf09mzZzFw4EClfccdd+CVV17xu49ERERE3rhcLhw4cACnTp1Ceno6cnJyEBkZiZiYGDRq1AgtWrRAzZo1g93NgBk9ejS2bdumtA8fPqx6/eLFi9i1axfOnz8Pp9OJxMREtGzZEh07dgxYH9LS0rB3715cuXIF6enpEEIgOjoaCQkJaN68ORo3buzzzIRAczgc2L9/Pw4fPoyMjAxoNBokJiaibdu2aNOmTVD6VJLjx49j3759uHr1qvLz6tSpk6r4cSixWCzYs2cPLl68iIyMDOTl5cFkMqFGjRpo2rQpmjdvDpPJFOxuEhFCJDgAyA82li9fjs8++6zUaD4AxMXF4b777sPo0aPD6g84ERFRWTmdTuzbtw+nT5/G1atX4XK5ULNmTTRs2BBdu3YNyM3XlStXsG3bNly6dAkWiwVxcXFo3bo1unTpAq1WG4DvgoiIiIjKq7TgABERERBCwQE3u92Offv2YefOnUhJSUFmZiZyc3MRFRWFuLg4NG7cGD169EDHjh2h0wU1KxIRERERERERUchhcICIiHwRck/X9Xo9unfvju7duwe7K0REREREREREREREYalslVWIiIiIiIiIiIiIiKjKYnCAiIiIiIiIiIiIiKiaYXCAiIiIiIiIiIiIiKiaYXCAiIiIiIiIiIiIiKiaYXCAiIiIiIiIiIiIiKiakYQQItidICIiIiIiIiIiIiKiysOZA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1Ywu0DscOHBgoHfpF0mS8PPPPwe1D0REREREREREREREoSzgwYFz585BkiQIIQK9a59IkhSU4xIRERERERERERERVRUBDw64BeMhfbACEkREREREREREREREVUnAgwP16tUL9C6JiIiIiIiIiIiIiCiAJMHh9hTG0tPTg92Fak+SJMTHxwMAMjIyOMOHyAPPD6KS8RyhUFCjRo2A7auyr015DhEREREFVrCvrwJ5bQoAmoDujYiIiIiIiIiIiIiIQh6DA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1QyDA0RERERERERERERE1Ywu2B0o7MyZMzh48CDS09ORlZUFm83m9z6mTZtWAT0jIiIiIiIiIiIiIgoPIREcSE1Nxccff4wvvvgCV69eLff+GBwgIiIiIiIiIiIiIvIu6MGBL7/8Ei+++CLMZjOEEF7XkyQJALyuI0kShBDKekREREREREREREREVLygBge++OILPPnkk8U+1PdsCyGKBAVKe52IiIiIiIiIiIiIiIoXtOBASkoKnnvuOSUwIIRAjx49MHToUNSvXx8TJ05UAgCzZs1Cy5YtkZmZiaNHj+LPP//Enj17AMhBghYtWuCxxx5DVFRUsL4dIiIiIiIiIiIiIqIqI2jBgffff19VbHj69OmYOnVqseu2adMGffv2VS07dOgQXnjhBezZswfHjx/H/PnzsXTpUiQlJVVov4mIiIiIiIiIiIiIqjpNMA7qdDqxbt06SJIESZJw7bXXeg0MeNO2bVt8+umnGDZsGIQQOH78OP7+97/DbrdXUK+JiIiIiIiIiIiIiMJDUIIDBw4cgMViUeoETJgwoUz70Wg0mDdvHtq3bw8hBA4fPoxly5YFsqtERERERERERERERGEnKMGBEydOKF8bDAb06tWrxPUdDofX1zQaDR555BEAcmHiFStWsDgxEREREREREREREVEJghIcyMzMBCAXE27QoAE0mqLdcBcjBgCr1Vri/q655hpER0cDAK5evYr9+/cHsLdEREREREREREREROElKMEBi8WifB0TE1PsOiaTSZkBkJ2dXeL+tFot6tWrp7SPHj0agF4SEREREREREREREYWnoAQHoqKilK9tNlux67hnAgDAhQsXSt2n0WhUvr569Wo5ekdEREREREREREREFN6CEhxISEhQvvY2K6Bhw4b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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 771
}
},
"output_type": "display_data"
}
],
"source": [
"pmb.plot_pdp(μ, X=X, Y=Y, grid=(2, 2), func=np.exp, var_discrete=[3]);"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "3a86b72b",
"metadata": {},
"source": [
"From this plot, we can see the main effect of each covariate on the predicted value. This is very useful as we can recover complex relationships beyond monotonic increasing or decreasing effects. For example for the `hour` covariate we can see two peaks around 8 and 17 hs and a minimum at midnight.\n",
"\n",
"When interpreting partial dependence plots we should be careful about the assumptions in this plot. First, we assume that variables are independent. For example when computing the effect of `hour` we have to marginalize the effect of `temperature` and this means that to compute the partial dependence value at `hour=0` we are including all observed values of temperature, and this may include temperatures that are not observed at midnight, given that lower temperatures are more likely than higher ones. We are seeing only averages, so if for a covariate half the values are positively associated with the predicted variable and the other half negatively associated. The partial dependence plot will be flat as their contributions will cancel each other out. This is a problem that can be solved by using individual conditional expectation plots `pmb.plot_ice(...)`. Notice that all these assumptions are assumptions of the partial dependence plot, not of our model! In fact, BART can easily accommodate interactions of variables Although the prior in BART regularizes high-order interactions). For more on interpreting Machine Learning models, you could check the \"Interpretable Machine Learning\" book {cite:p}`molnar2019`.\n",
"\n",
"Finally, like with other regression methods, we should be careful that the effects we are seeing on individual variables are conditional on the inclusion of the other variables. So for example, while `humidity` seems to be mostly flat, meaning that this covariate has a small effect on the number of used bikes. This could be the case because `humidity` and `temperature` are correlated to some extent and once we include `temperature` in our model `humidity` does not provide too much extra information. Try for example fitting the model again but this time with `humidity` as the single covariate and then fitting the model again with `hour` as a single covariate. You should see that the result for this single-variate model will be very similar to the previous figure for the `hour` covariate, but less similar for the `humidity` covariate."
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "54e31c66",
"metadata": {},
"source": [
"### Variable importance\n",
"\n",
"As we saw in the previous section a partial dependence plot can visualize and give us an idea of how much each covariable contributes to the predicted outcome. Moreover, PyMC-BART provides a novel method to assess the importance of each variable in the model. You can see an example in the following figure. \n",
"\n",
"On the x-axis we have the number of covariables and on the y-axis R² (the the square of the Pearson correlation coefficient) between the predictions made for the full model (all variables included) and the restricted models, those with only a subset of the variables. \n",
"\n",
"In this example, the most important variable is `hour`, then `temperature`, `humidity`, and finally `workingday`. Notice that the first value of R², is the value of a model that only includes the variable `hour`, the second R² is for a model with two variables, `hour` and `temperature`, and so on. Besides this ranking, we can see that even a model with a single component, `hour`, is very close to the full model. Even more, the model with two components `hour`, and `temperature` is on average indistinguishable from the full model. The error bars represent the 94 \\% HDI from the posterior predictive distribution. This means that we should expect a model with only `hour` and `temperature` to have a similar predictice performance than a model with the four variables, `hour`, `temperature`, `humidity`, and `workingday`."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "2bb3d9f8",
"metadata": {},
"outputs": [
{
"data": {
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PZs+eHTNmzIglS5bEmjVrYtCgQfHv//7vTfbZUj8z0BpWrVoV06ZNi0WLFsWKFSuie/fuse2228bee+8dAwYMyNvjJJ272qL6v0O6desWgwcPjv333z+6d+/e7HGXLl0aU6dOjcWLF0dNTU2UlpbG7rvvHjvttFPeap8xY0a8/fbbsWTJkujRo0cMGDAg9t9//+jZs2eLx/Z7BjavmTNnxowZM+LDDz+MoqKi6NevX+y///7Rv3//1i4tZzNmzIh33303Fi1aFAUFBTFs2LAYOXJkdOvWrdE+VVVVMX369PjXv/4Vq1evjm222SZ23XXX2GeffaKgYPN/rr+ysjJeeOGFmD9/fqxevTr69esX22+/feyzzz6RSqU2++OzdROuAG3a5nhz8uGHH8Yrr7wSy5Yti/Ly8ujVq1cMGDAg9ttvv+jRo0ceq9+80ul0vPbaa5k/GmtqauLTn/50HHDAAa1dGmxVdttttwa3N3V50P/6r/+KAw88sNH7n3/++bj++uvj5Zdfjurq6gb32XXXXWPixIlx5JFHbvKPhrrXqY6IeOKJJ2Lw4MHx3HPPxTXXXBOvvPLKRn06d+4cX//61+O8887bKCy5++6747rrrosPP/xwo34lJSXx3e9+N4477rgma4qIuOiii+Lee++NiOzrZ99xxx1xyy23xIIFCzbq07179xg7dmycffbZTf6R15BFixbF7373u3jooYdixYoVDe6zzTbbxNixY+Nb3/pW9OrVa5Nj1v3/P+uss+Lss8+OFStWxKRJk+LBBx+M1atXb9Sn7gHKlStXxuOPPx6PPfZYvPTSSw3uv0HPnj3juOOOi9NOOy369u3b6H51X9e6rr322rj22msb7HPMMcdkLSL64osvxje+8Y1Me1Pfs3U19Jo0ZPLkyVn1bFhn8PHHH4/rr78+3nzzzaz9e/bs2Wi4ku+fGbZe06dPj6997WuZ9u233x6jRo1qdP+nn346xo8fn2mnUql49tlnY9ttt220z0033RS/+tWvIiKiU6dOMXXq1Cbns9dffz1++9vfxvPPPx/r169vcJ/hw4fHGWecEV/84hcbHaeuls5dSVVVVcWPfvSjuO+++zLbRo4cGddee21WaNDY76uGnHzyyTF16tSIiDjggAPij3/8Y0RE/PnPf46bbrop5s+fv1Gfzp07x4knnhjnnHNOopBlzpw5ceWVV8b//d//RU1NzUb377nnnnH++efHQQcdFPPnz896D3DVVVfFscceu8nHeOqpp+IXv/hFzJw5c6P7unTpEkcccURceOGF0adPn5zrjtg8v2f++c9/xvHHH59pf+c734mJEycmqqvu76pOnTrFlClTol+/fonGgLZi6tSpMWnSpHj11VcbvH/06NFx8cUXx/bbb9/kOK35/uvBBx+M3//+9w2u+9y9e/eYMGFCfOtb38p6D7V+/fq47bbb4pZbbonly5dv1G/gwIHxwx/+MA477LBN1t/Y3wVNqaioiOuuuy7++7//u8G5bdCgQXHaaafFSSedtMmx6trU/0P9eb6uxv42jPjkd9pll10Wf/7znyMioqCgIJ544okYOHBgzvWtXr06PvvZz8aaNWsiIuILX/hC3HDDDTn3J7+EK0CblK83J3U99NBDccMNNzT4ZiGi9k39wQcfHN/5zndijz322OR4jb0p2ZQkb5ga+qOxuro6br311vjv//7v+OCDD7L2HzNmjHAF2rG1a9fGhRdeGI8++ugm93333XfjvPPOiwcffDB+9atfRdeuXRM91i233BK//OUvI51ON3h/ZWVl3HrrrfHOO+/E73//++jUqVNUVVXF97///XjooYcaHbesrCx+9KMfxQcffBDnnntuoprWr18f559/fpPPv7y8PG699dZ44okn4g9/+ENst912OY197733xuWXXx4VFRVN7rdy5cq46aab4r777osbbrghPvWpTyV6Dm+//XZMnDixweCpIZMnT47/+q//ymnfVatWxa233hr3339/XHPNNbHvvvsmqq09+MlPfhJ/+tOfct5/S/7MsHXYa6+9onv37lFeXh4RtcFdU+HKs88+m9VOp9Px3HPPNXmW1fPPP5+5/elPf7rJYOU///M/4/e//32jc/UGb731Vpx11lkxZsyY+PWvfx1dunRpcv/6ks5dSaxatSrOOuuseOGFFzLbjj766PjpT38anTp1ytvjVFZWxgUXXBCPPfZYk/vcfvvt8fLLL8ett94a22yzzSbHfeKJJ+K8886LdevWNbrP66+/HqeddlpccMEFccQRRySu/eqrr47bbrut0fsrKirivvvuixdeeCF+//vfJxp7c/ye+fSnPx0jRozIhOB33313fPvb3875E+orVqyIhx9+ONMePXq0YIV268Ybb4zf/OY3jX64IyLiySefjFdeeSVuv/322H333bdgdbn56U9/mgmoG1JeXh6TJk2K2bNnx1VXXRURtQf4J06cmDle0ZAPPvggzjrrrPjJT36S0wevkliyZEmccsop8d577zW6z4IFC+KKK66IF198MSZNmpTXx2+Jk046KROu1NTUxF133RXf+c53cu7/wAMPZIKViIgTTjgh3yWSgHAFaHPy/eakvLw8zj333Pi///u/JverqqqKp556Kp555pk4++yz44wzzmhW/ZvTypUrY8KECfHyyy+3dinAxzZcPiOdTmd9mrWpy2o09Kn58vLyGDduXLz++uuZbUVFRfHpT3869thjj+jVq1esXbs2/vWvf8XUqVMzB3kef/zxmDBhQtx66605X8rjoYceyvyB0bNnzzj44INjhx12iOrq6pgxY0Y899xzmefy7LPPxu9+97s455xz4vLLL88EKwMHDoxRo0ZF//79Y82aNTF16tR4++23M49x/fXXx8iRI3P+tF1ExKRJkzIHybfZZpv43Oc+F4MHD461a9fGW2+9FS+//HKmrrlz58Y3vvGNuPvuu5u8fFlE7e+V+n9QbbhUQP/+/aOgoCAWLlwYL7zwQixcuDAiav9gO/nkk+Mvf/lL7LrrrjnVv3z58jjjjDMyByd33XXX2HfffaN3795RVlYWr7/+epNnTJSUlMRuu+0WQ4cOjV69ekVxcXGsXr065syZk/Vp46VLl8a3v/3tuPfee2PIkCEbjVNQUJD5Xqj7uzSVSjV64GtLXLJhU2666aZMsNK9e/c46KCDYvvtt4/CwsJYsGDBRh+42JI/M2w9ioqK4oADDogpU6ZERMRzzz0X559/fqP71w1KNmgqXKmsrMx6H9dUcNPQwa4BAwbEIYccEv369YtVq1bFyy+/nDX3PvHEE/HNb34z/vCHP+QcXLR07mrKggULYvz48VkHv84444zE4XsuLr300kywMnDgwBg5cmSUlpbGunXr4o033sg6APj666/HlVdemXXGXkNeeOGFOPfcc6OqqiqzrVu3bvHZz34283tz1qxZ8dxzz8W6devil7/8ZeJg67e//e1Gwcp2220XhxxySPTt2zdWrFgRL774YsycOTMWLlwYZ599dowePTrRY2yQr98zEbUHB3/wgx9ERO3/8zPPPBOf//znc6rj3nvvzfqwQ92zxaA9+dvf/pZ5j7nNNtvEqFGjYsiQIVFUVBQzZ86M//u//8t8ry9fvjzOO++8uO+++1p8idt8uvHGGzO/a7bddts45JBDYrvttovKysp49dVXY/r06Zl977nnnthvv/3imGOOiXPOOSczrw4bNiwOOOCA2HbbbWPlypXxj3/8I+bMmRMRtX8jXXHFFbHvvvvGjjvumJeaV69evVGwkkqlYt99940RI0ZE165dY/78+fH000/HqlWr4tFHH83r5WFTqVTmPWRNTU3WByBy+Rtw1113jf333z9eeumliIj461//GmeddVYUFeV2mP4vf/lL5vagQYPic5/7XOLnQP4IV4A2Jd9vTiorK+OUU06J1157LWv7HnvsEfvuu2/07NkzlixZEv/4xz8yB9Rqamrit7/9baxZsya++93vbsZnm0w6nY7vfe97mT/IS0tLY9SoUTFgwICoqKiIWbNm5fzLGMift956KyI2vpTJY4891uilTBpyySWXZB0kPuaYY+K8886L0tLSjfZdsmRJ/OQnP8kEES+88EL87ne/i7POOiunx7rmmmsiIuLEE0+MCy64YKNLIr788svx7W9/O1atWhUREbfddlsMGjQo/vrXv0anTp3ihz/8YYwdO3ajA/J/+tOf4ic/+Umm/Zvf/CbuvPPOnGpavHhx5uDS2LFj46KLLtro09wzZsyI888/P3PJlHnz5sVVV10VP//5zxsd95lnnolf//rXmfawYcPisssua/CA5vr16+Mvf/lL/PznP49169bFmjVr4txzz43/+Z//yWkdmT//+c9RXV0dAwcOjKuuuipGjhy50T6VlZVZ7b59+8bpp58eRx11VOyxxx6NhhyVlZVxxx13xKRJk6KqqipWrVoVP/7xj+Pmm2/eaN8rr7wyrrzyyojIvjTBmWee2eglItqC//zP/4yI2gN2559//kbfl/Vfuy35M8PWZeTIkZlw5c0334yVK1c2eIbD0qVL4913342I2oMpG8LMhgKXDV5++eWsg8qNhSuPP/54VrDSqVOnuPjii+PEE0/cKOj4xz/+ERdddFEsWbIk8xi//e1vc34f25y5KxdvvPFGTJgwIVNXUVFRXHHFFfHVr3418Vib8sorr8TUqVOja9eucemll8bRRx+90Xw6derUOPPMM2PlypURUXuAf8KECTF06NAGxywvL48f/OAHWcHKl770pbj00ks3CvWXLFkSP/rRj+Kpp55q8ndSfa+++mrWpVyKiori+9//fpx88skb1f/II4/ED3/4w5g3b17893//d86PsTl+z0TUvha/+MUvoqysLCJqv49yDVfuuuuuzO2hQ4c2+D0H7cFll10WERHf/OY346yzztrocoMffPBBTJgwIXOVi1mzZsX999+f97M4WuKaa66JVCoVZ599dnzrW9/a6D3vY489Fueff35mLrz22mtj+fLl8eyzz0bPnj3jZz/7WRx++OFZfaqrq+M///M/46abboqI2vnl+uuvz1wSs6UmTZqUFawMHTo0Jk2atNEZ52vWrImrr746/vKXv8Rtt92Wt+MlgwYNyvwNWP+KJhu2b8qJJ56YCVeWLFkSTzzxxEavY0P++c9/Zn2o4rjjjmsTH5Lamnn1gTal7puTp556Kq655pr43ve+F+edd15ce+218fDDD2cdKNrw5qQxv/rVr7KCldLS0rj99tvjvvvui0suuSS+853vxM9+9rOYMmVKXHzxxVm/bG+++eZ4+umnN8OzbJ7p06fHU089FZ07d47LL78888fbeeedFxdffHHW9buB9uXxxx+PBx98MNM+99xz4+qrr27wIHFERL9+/eKaa66Jo446KrPt1ltvzRww2pSqqqoYN25cXHbZZQ2uNbXvvvvG9773vUx7zZo18aMf/SgiagOTr33taw2+if/6178eX/7ylzPt6dOnN3jN+8ZqSqfTccIJJ8QVV1zR4GVydt99940uBXbfffdttDbHBuvWrYsf/OAHmU+TjRgxIu6+++5GD2YWFRXFSSedlPkjM2LTv2fqqq6ujpKSkvjTn/7U6IGi+n+wfvvb347vfe97MWLEiCb/MOrcuXOceuqp8ctf/jKz7R//+EeD1+Zvr6qrq+Ob3/xmXHrppQ1+X9Z97bb0zwxbl4MOOihzu6amJutyVnU999xzWX02XNboww8/jFmzZjXYp27w0r179/j0pz+90T41NTWZgHSDX/3qV3HSSSc1eAbJIYccErfeemvWQb1bb7015/m3OXPXpkyZMiVOPvnkTLDSo0ePuPHGGzdLsBJR+zukqKgobrrppjj22GMbnE8POOCAuPTSS7O2NTW/33HHHVlrfx1++OExadKkBs+W7NevX1x77bUxatSoREHU1VdfnXXW6+WXXx7jxo1rsP4jjjgifve730VhYWGix9hcv2e6dOmStZbMM888k9Nl5aZOnZo15tixY62DRbtVVVUV5513Xlx44YUNruM0cODAuO6667Lm0P/5n//ZkiVuUlVVVVx88cVx5plnNjjX/9u//Vt885vfzLQ/+OCDmDRpUnTq1CluvfXWBgOBwsLC+O53vxt77713Ztvjjz8ea9eubXG9s2bNyvrwVr9+/eIPf/hDg5fy7datW1xxxRVx3HHHRTqdzgrLW9sXv/jFrMshbrhM2KbU3a9Tp07xH//xH3mvjWSEK0Cbks83J/Pmzcv6xF+vXr3iD3/4Q4MH1QoKCuKUU06Jn/3sZ5lt6XQ6fvazn23yGtdbyoZPQ/72t79t9MBm0j98gbah7qdC991335wXhb3kkksyIUR5eXk88MADOfUbMGDAJj/R/JWvfCVrTYqampo48sgjN7kgZd0FbiOi0bWzGlJaWhoXXnhhk/v069cv6wyhiGj07Jh77703c2CvsLAwfvWrX2UtnNyYz3/+81nXzM/17JuIiPPPPz+vlx2o78gjj4xddtklImp/T7WlDwG01KBBg+K8887Lad8t/TPD1mXXXXfNOuBRN0Spq25QcvDBB2e9x2zs7JW6Yx1wwAENfor2ySefzDqof9RRR21yHY9dd901zjnnnEy7uro67rjjjib71JXPueuOO+6IM888M3M9+AEDBsQdd9wRBx98cF7Gb8xJJ50U+++/f5P7HHXUUVn/t439jkqn01mXXenevXtcdtllTYYAnTp1ip/85Cc5X47tnXfeiVdeeSXTHjly5CY/zX7AAQds9ktoJfk9c+KJJ2b+Jqmurs56zRpT98BgcXFxHHPMMS2sGFrP8OHD49vf/naT+wwZMiTrUn6vv/56k5dA39L22muvGDduXJP7jB07NqtdU1MT48aNi7322qvJfnX/Lli7dm3MmDGj+YV+7K677so6RvPd7343BgwY0GSfiy66qM2t69SpU6es1/X555+PuXPnNtln5cqVWWtfWq+qbRCuAG1KPt+c/OlPf8r6JNh5550Xw4YNa3Lso48+OmvsuXPnxlNPPZVj9Zvfl7/85WZfYxlom+bMmZN1cOXkk0/O+ROcffr0yfqU8YsvvphTv2OPPXaTYWzXrl03Wmskl8US99prr6z6m1pksr7/+I//aHJh5w3+7d/+Levslf/93/9tcL/77rsvc/uQQw5JdJ3nL33pS5nbb731VuY69E3p1q1bfOUrX8n5MZqr7v/LP//5z83+eFvKV7/61Zw+JNAaPzNsfequF9VYUFJ3+6hRo7LOeGkokFm5cmXW5UIaO0vkiSeeyGqfeuqpOdU8duzYrA8n1R+nMfmau9LpdPz85z+PK664IvPefPfdd4+77rpriyzgfNJJJ21yn8LCwthnn30y7cbOypg5c2bWmT+HH354bLvttpscf8iQIfHZz342h2o3/t118skn59TvG9/4Rk77tUSuv2fqP9+//vWvsX79+kb3X7ZsWWZdnIja17V3794trBZaT0OXamxI3eC3oqIiK0BvbfWDk4YMGjQo+vbtm7Utl78L6p+dmeTvgsbUnTv79OmTddZ8Y3r06LHZzpxsieOPPz7zIYt0Or3Js1esV9U2uTg/0KYkeXPyyCOPRMQnb0623377rH3q/kHZq1evnH+ZnnbaafHkk09mjfOFL3whp76bm1+ebE2++MUv5vSHR91PLi1YsCCGDx+e0/hnnHFGm1hvYcO1djfY1Kdu66t7rfi6199tyn777ZfTfgMGDMgcVCksLMw6tb8xXbt2jV69emWuwb5h3ZZc5DrXplKp+PznP585o6SsrCzmzp0bO+ywQ2aftWvXxhtvvJFp5/qcN6g7Vk1NTcyYMWOTY+y1115ZZ/skNX369Pjf//3fmDFjRsydOzdWr14da9asyfqgwIZ6Nli0aFGzH6+tqXswuymt8TNDy7W3Of2ggw6Kv//97xFRG+h98MEHMXDgwMz9s2bNylwCqW/fvrHbbrtlHSR+8cUXo7q6Omth2w3b6j5GQ+qeTdGvX79NfjJ4g65du8ZnP/vZzHvkuXPnxrJly6JPnz5N9mvp3BVRexnG733ve5l1jSJqQ+3f/va3DV7mL9/69euXNW83pe4ZOo1dGrB+oJDkrJtDDjkk62+JxtR9jKKiopxDmR122CF22mmnZl0WcnP8njnxxBMzZ7dsat2Av/3tb1mX5fG3De3td0N9ub6/rH9mYFu6LGmuz6G0tDSWLl0aERH9+/ePIUOGbLJP/TNKkvxd0JCPPvooK/g+5JBDcl5HZcyYMVlrXLUFpaWlMWbMmMzvznvvvTfOO++8Rj9sZL2qtkm4ArQp+XpzsnTp0o1+6eZ6yaz99tsv+vTpE8uWLYuIyPp0bGsqLi5u8Lrc0FFVV1c365T5XPu0lUv+1V8v5HOf+1yi/nUPgGwINDalsXUp6qt7sK1Xr15RXFycU79u3bplatlwWZhNKSgo2OhMmabsscceWe333nsv68Dav/71r6wDOP/5n/8Zv/nNb3Iev75cXtskZ8bUNX369Lj88sszi50msWLFimY9ZluU6+vXGj8ztFx7m9PrX0b2ueeey7qued2zVkaOHBmpVCpKS0tjxx13jFmzZsWqVavi9ddfj8985jNZY2zQt2/fBue8dDqddVmQ+nPdpowYMSITrkTUhkCbCleaO3dtsHz58hg3blzWe+avfvWrccUVV+Rt8eBNyfX3WkT277bGfke9//77We0kv59y3bduODJs2LCcf8dG1H5fJAlXNufvmc997nMxePDgzN9ef/7znxsMV9LpdNaBwd122y3rLCK2Tu3td0N9zXlPHZH7++MtIdfnUPfs8ub0iWj5864/7yU5K3LXXXeNgoKCjcLk1nbSSSdlwpXly5fHI4880uDZpC+99FLWmT8nnHCC9araCJcFA9qUfL05mT17dlY76R+mdT8JM3v27DZxEHbIkCE5X8MZaD+WL1+e1d7wR2auX3Xnp1w/DdalS5ec9qv7hj3Jp5rr9st1/uzZs2eiA0v1L89SP2Sv/7rW1NQkfm3ryuWyYNtss03O9W/w6KOPxsknn9ysA14RtZ8W7yhyWQ8nonV+Ztj6DBw4MOssp/qXBqu/mH1Dt+tfGqxuu7FPm65evTpr/ql/GZZNqb9/LgFsc+auuu64446sYGXChAlx5ZVXbrFgJWLjA3hNyeVgVP3fKb169cp5/IYWvN/UY2wqAKsvl0uUbbC5f88UFBRknYHS2LoBzz77bMybNy/TzuVSRNDW5Tr31J932sLxhQ1yfY/fnL8L8v2868/NSebCLl26bJEzKZM68MADY+edd860G7s0mPWq2i5nrgBtSr7enNT/QzLpIl9196+uro7y8vJW/0Wc60En6ChyuaRGRMQ999yTWeB80KBBOfdrK/J5cLct/aGWVNJL0mzqk3D5vtxCLp9yS3ogccGCBfH9738/6/r0e++9dxxxxBGx5557xqBBg6Jnz57RpUuXrEsLXXTRRXHvvfcmeqz2INcPEPiZaZ/a45w+atSomDNnTkREvPDCC5FOpyOVSkV1dXVMnTo1s1/dS0aNGjUq/vSnP0VEbZhyxhlnRETEhx9+mBkrovFLgpWXl2e1k4QGDe1ff7z/3969RkVVtXEA/w8DqAMppuAFRLyGaWKiaGWhBmWpWVmLAm3E7LokL1Em1iKRzMsqMqwgEzUvS8nU1Ky0LPGagrkMA0NSC0kRiesgDDDvBxbnnXNmgHNEZg74/31iz5wzsxmYc9nP3s9jTVODIG3atBENwKempqK0tNTu185NUVlZKWormeAkd7W8+XlL6d9Z7jnTVueZyZMn4+OPP0ZFRYVQN2DevHmibcyL3et0OkyaNEn261Pr1RLPDWQ/0nOa0vuHdu3aqSolW53Q0FDExMQAANLS0pCVlYV+/foJz0vrVY0bN052IJ+aH4MrRNQqNfWka+3G1N43iFy1QtQ6SVeRnD59WtEKjtaivLxc0fbSYIr0uC097r/77ruqy+2+atUqUVHKqKgo6PX6RvdTUyoJe+B3hmzlnnvuEWo75efn4+zZs/D19UV6erowONOrVy9RTvmRI0dCq9Wiuroap06dgsFggE6ns1jFIk07Vse8ID2g/Psu3V76es1h2rRpyM7Oxo8//gigNrgybdo0fPHFFy128Ec6qamsrEz26hI5Kx2B2vNWXbBY6d9Z7jnTVueZjh07Yvz48di2bRsAy7oBeXl5osHwCRMm2P3eiohaHuk5Ten9g9LtbWXSpEn44IMPhHGszZs345133hGe37Ztmyjo/8wzz9i8j1Q/pgUjolapqSdde9yYEtGtybwAMmCZ8uhWUVpaajFTuCHXrl0TtaVpbaQDemr8XH/++Wfh54CAAFkDXgCEYqLN6UbTOMiZJd9U/M6QrYwcORIODv+/Za4LkBw+fFh4TLoCxdXVFXfddRcAwGg04sSJEwDEacV8fHzQvXt3q+/p6uoqWkGg9Psu3V5JOqsb5eTkhBUrVmDixInCY7///jumTp2Kq1evNvv7NwfpcSY3N1f2vnK3NT9v1dV6lEt6DqyPLc8zoaGhws91dQPqfPXVV6LVMxwYJLJOzddfaiC93pd7LARqUxzKDX7bmqurKx5//HGh/c033whjWKxXpX4MrhBRqyS9kVR6Y2e+vVartRpcudELn1t9xjERiZnn2AWA9PR0O/XEvqqrqxXlg8/MzBS1pZ9j7969RcdpaRF0eysvL8fly5eFttyi7NXV1cjIyGiubgmkK3/MZz43JC8vrzm6I8LvDNlKhw4dRHX46oIr5oESa+m9zFel1O1z7Ngxq89LaTQa9OzZU2gr/b5Lj3VNLVYvl6OjI5YtWyaqo/Hnn39iypQp+Pfff23Sh5tJWq/x999/l73v6dOnZW3Xp08f4efz588rqqElPQdaY+vzzF133YXBgwcL7br6ADU1Ndi6datou4EDByp+faJbgZqvv9TA/LgJyDsW1jl79qzqitmbMw9Ql5SUYPfu3QBqryPM61ixXpX6MLhCRK1Sr169RG2lNwjm2/fq1ctq4UvphY/c1TG3yoUP0a1GmrNe7sW7dJDtp59+uml9aml++eUXWduZTCbRtm5ubqLBSKC2OLCvr6/QPnbsmKpmq91oseQDBw4oCtKb/1+aF8lujLQ/ly5dkrVfamqq7Pe4UfzOkC2Z/7+lpaWhuLhYKN6u1WoxYsQIi32kRe3//PNP0cSdhoIrQG1NjDpXr16VPVh//fp1HDp0SGj37NlTcaH0pnBwcEBMTAymT58uPHbhwgWEhoZaLXCuZn5+fqLj5549e2TtZzKZZG/r5+cn/FxVVSX62zXk4sWLOHfuXKPb2eo8Y858cLCubsCBAwdEq3nUlqKTSE3UfP2lBp06dYKXl5fQPnTokGhVXEOaq06P9B5QyfW2ub59+yIgIEBo1wWoWa9K/RhcIaJWqXPnzujRo4fQPnTokOx0M2lpaaLlpeY3uOakS1LlpgCoSw9BRK2LdIVbUVGRrP3uuOMOUcHCXbt24a+//rqpfWsptm7dKitQvW/fPtExNzg42Op2EyZMEH4uLS1FUlJS0zt5k0j/X+TcPNfU1CAxMfGG30dJAU9PT09RbRM55y6TySTUp2hO/M6QLZkHSgwGA1atWgWj0Qigdga+tDYHAAwZMkSoA5WVlYVdu3YJzzk4OGDkyJENvueDDz4oaq9Zs0ZWX5OTk0VB5KCgIFn73Wzz5s3DzJkzhXZubi7CwsKQlZVll/7ciPbt22PMmDFC+8yZM0JNmYZs3boVOTk5st5D+vfZsGGDrP3Wr18vaztbnWfMPfroo6K0nJs3bxYGCIHaz3X8+PE3/PpErZ2ar7/UwvzYWVBQICugXVZWhq+//rpZ+nOj94DWhIWFCT+np6fjl19+EU0imjhxIutVqRCDK0TUapnfmBYVFck+mUpvYOsbtJOmJTl+/Hijr52fn4+9e/fK6gcRtSyenp6ittwUIhqNBq+++qrQNhqNmDlzpuJ855mZmYpztqvN5cuXsXz58ga3uXbtGt5//33RY/Xlbg8NDRXN2k5ISMC+ffsU9amkpERROhi5XF1d0a1bN6G9c+fORlM/rFixAqdOnVL0Pub/l0p+D61WK0rvsn//fvzzzz8N7rNq1SqbpF/jd4ZsaejQoUJRbkA8sF3fChRnZ2f4+/sDqB30Mt9nwIABja4gGDNmjGhm7p49e0T1K6zJzs7GihUrhLZWqxUN0thaREQE5s2bJ7SvXr2KKVOmtKg0ftOmTRO1FyxY0GAKmrS0NCxevFj26/v6+oomcR05ckQoCF+f1NRU2YOotjrPmGvTpg2eeuopob19+3akpKQI7UmTJokGjolITM3XX2oREhIiyiyyfPlyXLlypcF9li5d2mwZRG70HtCaoKAgeHh4CO3IyEjWq2oBGFwholYrLCxMVIQ0Li4OFy5caHCfnTt3igbefHx86s1PPGDAANHNwaZNmxpcklpdXY0FCxYoyqdMRC1H3759RTOYP/vsMxw4cEBWruRHHnkEDz/8sNDOzs7GE088gd27dze4tLy0tBS7du3C888/j0mTJjV6Y6FmTk5O0Gg02LhxIxYuXGh1BUtmZib0er1o1crjjz+OQYMGWX1NnU6HRYsWCTdg1dXViIiIwJIlSxosgGkymXDy5EnExsZi9OjR2LlzZxN/O+vMZ97l5uYiIiIChYWFFtuVlJQgOjoaCQkJACDMiJdjyJAhws+nT5/GypUrZd9cmhfWrKiowMyZM63WTigrK8Py5cvxwQcfwMnJSXbfmoLfGbKVtm3bigrHmh+b7rvvvnr3M1/xYr6PtRotUg4ODpg/f77oscjISGzatMlqjb8jR45Ar9eLVq1Mnz7dYsDH1qZPn46YmBjherywsBB6vb7FpK8ZNmwYnn76aaFdWFiIkJAQxMXFISsrC5WVlbh+/ToyMjKwZMkS6PV6GAyGele9W/PWW2+J7lfeeecdbNiwwerfee/evXj55ZdRVVUlCvg1xBbnGalnn31W+J3KyspEaVKZEoyocWq+/lKD3r17i4IMeXl50Ov1+OOPPyy2NRgMiI6OxpYtW6DRaJrlcxo8eLDoOL5s2TKkpqbKzpxiztHRUVRTpaSkRPQ+5nXgSD0cG9+EiKhl8vb2xtSpU7Fu3ToAtatX9Ho9li5dapGOoaamBhs3bsTSpUtFj0dFRVmttwLU3myPGzcOO3bsAFCb9mH+/PmIiYmxqMeSm5uL6OhopKSkwMnJSUgnQUSth6OjI5588knhmJOXl4cXX3wRQO3xwvyie9WqVRg2bJjQ1mg0WLJkCa5cuSLMGM3Ly8Prr7+O2NhYDB8+HJ6ennBxcYHBYEBBQQHOnj2Lc+fOtZrjiYeHBx5++GEkJSVh06ZN2L17Nx544AF4eXmhoqICZ86cQWpqqmiQxtvb22IAUiooKAhvvvkmli1bBpPJBJPJhDVr1mDDhg0YPHgwfH194ebmhqqqKhQXF+P8+fPIyMho0pJ+uWbMmIFt27ahrKwMAJCSkoKxY8ciMDAQPXv2hNFoxMWLF3H48GEh/31AQAC6deuGb775RtZ7PPXUU9i8ebPwucXHxyM+Ph5OTk6iG8yJEyciJiZGtO/EiROxZs0aIZVPZmYmxo0bh8DAQPTq1Qs1NTW4ePEijh49KqQcW7hwIaKiopr2wcjA7wzZ0r333isqSA/UDj6bBy+t7aPkcamgoCBMnTpVWPViNBqxcOFCfP755xg1ahTc3d1RUlKCkydPWsxY9vf3x6xZs2S9T3MLCQlBu3btMH/+fFRVVaG0tBQzZszAp59+KvuzsKeoqChcvHhRWKF+/fp1JCQkCEEIqR49euDdd98V5cTXarX1vv6QIUPw0ksv4bPPPgNQW3tl0aJFWL16NUaNGoXOnTujqKgIx48fF47F3t7eGDt2LNauXdto/21xnpHy8vJCYGAgfv75Z9Hjw4cPtyhGTUSW1Hz9pRaRkZE4fvw4srOzAQDnz5/H5MmT4e/vj4EDB6Jt27bIyclBSkqK8BmFh4fjhx9+kF3HRi53d3eMHTtWSB157tw5hIWFQaPRoG3btqLxpG+//Rbdu3dv8PVCQkKQkJBgcb3KVSvqxeAKEbVqkZGR+O2334RCoJcvX4Zer8fAgQMxdOhQ3HbbbcjPz8fBgwctZoPMmDEDgYGBDb7+K6+8gu+//16Ymb5z504cOXIEgYGB6Nq1K8rLy5GZmYkTJ07AaDRCp9Nh7ty5iI2NbZ5fmIjsavbs2UhPT0daWprocenqFWsz63U6HdavX4/Y2FhR4cL//vtPVjrB5pqNZUtz585FTk4O9u7di+LiYuzevbvebXv27Il169aJcrvXZ/r06UIgpu4Gy2g0Ii0tzeJvZY3cGcJKde3aFXFxcYiIiBBWNZaVldWbO/ruu+/GypUrLdKiNWTgwIFCcMk8MGU0GkU3bdZm1zk7O+PDDz9EeHi4kHLr+vXr+OGHHyy2dXBwwJw5czB58mSb3dzzO0O2Yi3917Bhwxr8/7njjjvQqVMn0So5Z2dn0SqYxrz99ttwcXFBYmKisJLh33//xVdffVXvPmPGjEFcXJyq/rcfe+wx6HQ6zJkzB5WVlSgvL8dLL72Ejz76yKK+jNrodDokJiYiJiYG27dvb3DbgIAAxMXFWawMaSw//uzZs2EwGITJGUDtxKzk5GSLbbt06YL4+HjZKS5tcZ6xJjQ01CK4woFBInnUfv2lBq6urli7di2mTZsmBFhqampw4sQJq3VqgoODMXfuXKuf4c0QHR2N8+fPC30BalfCS1fim1+L18fd3R3BwcGi4zTrVakb04IRUavm7OyMtWvXYtSoUaLHz5w5g/Xr1+PTTz9FcnKyKLCi0Wjw2muv4Y033mj09X18fPDee+/B0fH/ser8/Hx8/fXX+OSTT5CUlIQjR47AaDSiffv2iI+PR//+/W/eL0hEqlI32BsXF4dHHnkEPj4+cHFxEa1aaYizszNiYmKwY8cOjB8/vtG0HFqtFn5+fpg1axZ++ukni1pQLY2TkxPi4+MRFRUlyhNvTqfTITw8HDt27Kh3G2uCgoKwf/9+zJo1S1aqHE9PTzz99NNYu3YtIiMjZb+PUoGBgdi8eTOGDx9e7zZeXl54/fXX8eWXXzZaq8Ga8PBwbN++HXq9HoMHD4abm5vsgdf+/ftjy5YtCA4Orncl56BBg5CUlCSs1LKlW/07Q7YxaNAgtG/fXvRYY6suNBqNRVBm6NChiutNzJkzB8nJyRg1apToelNqwIAB+Pjjj5GQkGCxgloNgoKCRH2rrKzEa6+91mAQXS10Oh2WLFmC5ORkPPvss+jduzdcXFyg0+ng4+ODcePGITExEevWrUPnzp3x33//ifY3Txlan6ioKCQkJKB3795Wn3d2dsaECROwY8cO+Pr6Kuq/Lc4zUvfff7+o5tntt9+Ohx56qMmvS3SrUPv1lxp4eHhg27ZteOGFF+oNYnfr1g1RUVFYuXJls0468PDwwPbt2xEbG4sHH3wQXl5e0Ol09f7tGvPYY4+J2qxXpW4ak7VknkRENhIfH4+VK1cK7bNnz8ra79dff8Vzzz0ntL/88kuMGDGi3u1NJhO+++47JCQk1Psejo6OuO+++zB79mzFuSxPnDiBxYsXW83z6ejoiAceeAALFiyAl5eXor5PnTpVSEMQEBAgKohKRK1fVVUV0tPTceHCBRQWFsJgMECn08HNzQ0+Pj7o27dvozNi1eytt94SZgJ7enpi//79wnM1NTU4efIk/v77b+Tn58PFxQVeXl4YMWLETbm5yMnJQXp6OgoKClBcXAytVovbbrsNnp6e6NOnT6NL9pvD33//jZMnT+Lq1atwcHCAu7s7fHx8RIVN7Sk/Px/Hjx/HlStXUFVVhS5duuDOO+9UVYCitX9n6NZWXFyM1NRUXLlyBUVFRXBxcUGnTp1w9913Kwo2U/Nat26dqLD9wYMHRQWKG5ORkYE//vgD165dg4uLC7p27Yrhw4dbBPhuhK3OM+fOnRPNsn7hhReadaICUWvWEq6/7K2iogLHjh1DTk4OysrK0LlzZ3h7e2Po0KGyJ7mpybJly7B69WqhvWfPHqZVVDEGV4jolpObm4tTp04hPz8fBoMBHTp0EG5amjrgkp2djVOnTuHatWtwdnZG165d4e/vD3d395vUeyKi1qOh4AoREVFLNGXKFCEtTZcuXZCSkmLnHtlebGysMClMo9Fg37596NGjh517RUSkfpWVlQgMDERBQQEATrJtCVhzhYhuOd27d2+2Gcl9+vThjAIiIiIiolvQwYMHRfn+R48ebb/O2ElxcbGoPk1gYCADK0REMu3atUsIrABAWFiYHXtDcrS8tVFERERERERERM2spqYGe/fulVWEOC0tzSL1VWhoaHN1TbUSExNRWloqtPV6vR17Q0TUcpSXl+OTTz4R2t27d0dwcLAde0RycOUKEREREREREZFETU0NIiIi0KNHDzz66KMYOXIk+vXrh44dOwIACgsLkZ6ejm+//RZ79uxBVVWVsG9ISIji4vMtWUFBAbZs2YKkpCThMX9/f9x777127BURkfpVV1cjKysLS5cuxaVLl4THX331VWi1Wjv2jORgcIWIiIiIiIiIqB7//PMPEhMTkZiYKGv7YcOGYf78+c3cK/tLSEhAYmIiqqurUVFRIXrOyckJb7/9tp16RkSkfuPHj0dubi4qKytFwXkA8PPzw5NPPmmnnpESTAtGRERERERERCSh0WjQpk0b2ds7OztDr9djzZo1aNeuXTP2TB2MRiMMBoNFYMXBwQHR0dG488477dQzIiL1Ky8vh8FgsAisdOvWDR9++CFXrbQQXLlCRERERERERCSh1Wpx9OhRHDhwAGlpacjIyMClS5dQVFSEiooK6HQ6uLm5oV+/fggICMCECRPg4eFh727bhVarRadOneDv74/w8HD4+fnZu0tERC1GmzZt4O3tjbFjx+L5559Hhw4d7N0lkkljMplM9u4EERERERERERERERFRS8G0YERERERERERERERERAowuEJERERERERERERERKQAgytEREREREREREREREQKMLhCRERERERERERERESkAIMrRERERERERERERERECjC4QkREREREREREREREpACDK0RERERERERERERERAowuEJERERERERERERERKQAgytEREREREREREREREQKMLhCRERERERERERERESkAIMrRERERERERERERERECjC4QkREREREREREREREpACDK0RERERERERERERERAowuEJERERERERERERERKQAgytEREREREREREREREQKMLhCRERERERERERERESkAIMrRERERERERERERERECjC4QkREREREREREREREpACDK0RERERERERERERERAr8D1hJ+aw/ix1EAAAAAElFTkSuQmCC",
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],
"source": [
"pmb.plot_variable_importance(idata_bikes, μ, X);"
]
},
{
"cell_type": "markdown",
"id": "81d553f3-3f9e-4ae8-95f9-84d2d9a9556c",
"metadata": {},
"source": [
"`plot_variable_importance` is fast because it makes two assumptions:\n",
"\n",
"* The ranking of the variables is computed with a simple heuristic. We just count how many times a variable is included in all the regression trees. The intuition is that if a variable is important it should appear more often in the fitted trees than less important variables.\n",
"\n",
"* The predictions used for the computation of R² come from the already fitted trees. For instance to estimate the effect of a BART model with the variable `hour` we *prune* the branch that does not include this variable. This makes computations much faster, as we do not need to find a new set of trees.\n",
"\n",
"Instead of using the \"counting heuristic\". It can also perform a backward search, `pmb.plot_variable_importance(..., method=\"backward\")`. Internally this will compute the R² for the full model, then for all models with one variable less than the full model, and then for all models with less than two, and so on. At each stage, we discard the variable that gives the lowest R². The backward method will be slower, as we need to compute predictions for more models."
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "d8a84cca",
"metadata": {},
"source": [
"### Out-of-Sample Predictions\n",
"\n",
"In this section we want to show how to do out-of-sample predictions with BART. We are going to use the same dataset as before, but this time we are going to split the data into a training and a test set. We are going to use the training set to fit the model and the test set to evaluate the model."
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "b7eec697",
"metadata": {},
"source": [
"#### Regression\n",
"\n",
"Let's start by modelling this data as a regression problem. In this context we randomly split the data into a training and a test set."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "24895456",
"metadata": {},
"outputs": [],
"source": [
"X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=0.2, random_state=RANDOM_SEED)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "3344f483",
"metadata": {},
"source": [
"Now, we fit the same model as above but this time using a *shared variable* for the covariatates so that we can then replace them to generate the out of sample predictions."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "92d41028",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (4 chains in 4 jobs)\n",
"CompoundStep\n",
">NUTS: [α]\n",
">PGBART: [μ]\n"
]
},
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\n",
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"name": "stderr",
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"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 48 seconds.\n",
"The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n",
"The effective sample size per chain is smaller than 100 for some parameters. A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n",
"Sampling: [y]\n"
]
},
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