{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Overlapping communities and statistical inference of communities\n", "\n", "
\n", " \n", " \n", " Open this notebook in Google Colab\n", " \n", "
\n", "\n", "\n", "
\n", " \n", " \n", " Download this notebook (File -> Save As)\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What's wrong with modularity-maximization or similar methods?\n", "\n", "They are not necessarilly wrong! Those methods we tested last time may work perfectly fine for many networks and the community structure that you are interested in. However, there is an important implicit assumption shared by most community detection methods. That is, the communities are _disjoint_ or _non-overlapping_, which means that each node belongs to exactly one community.\n", "\n", "Imagine the social network around you. Do you belong to exactly one community? Probably not, because you have friends, family, and colleagues in many different contexts (a figure from [Palla et al., 2005](https://www.nature.com/articles/nature03607)). \n", "\n", "\n", "\n", "Moreover, this is not only true for yourself, but also for all other nodes in the network. If this is how the network is structured, then community detection methods that assume disjoint communities will not be able to capture the true community structure of the network.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another way to think about this situation is to use a bipartite network of people and communities. There are many people and many communities and each person can belong to multiple communities. Then, the social network we see is a projection of this bipartite network. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at a simple example. Here, there are two communities. Most people belong to only one of them, but person \"D\" belongs to both. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "\n", "people = [\"A\", \"B\", \"C\", \"D\", \"E\", \"F\", \"G\", \"H\"]\n", "communities = [\"C1\", \"C2\"]\n", "membership = {\n", " \"A\": [\"C1\"],\n", " \"B\": [\"C1\"],\n", " \"C\": [\"C1\"],\n", " \"D\": [\"C1\", \"C2\"],\n", " \"E\": [\"C2\"],\n", " \"F\": [\"C2\"],\n", " \"G\": [\"C2\"],\n", " \"H\": [\"C2\"],\n", "}\n", "\n", "B = nx.Graph()\n", "B.add_nodes_from(people, bipartite=0)\n", "B.add_nodes_from(communities, bipartite=1)\n", "B.add_edges_from(\n", " [(person, community) for person in people for community in membership[person]]\n", ")\n", "\n", "nx.draw(\n", " B,\n", " with_labels=True,\n", " node_color=[\"orange\" if B.nodes[n][\"bipartite\"] == 0 else \"blue\" for n in B.nodes],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you project this bipartite network to the network of people, then you will see a network with two overlapping communities. They overlap at node \"D\". \n", "\n", "**Q: perform a bipartite projection of B to get the network of people P. And then draw the network**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# YOUR SOLUTION HERE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## So, how can we identify strongly overlapping communities?\n", "\n", "If you apply Louvain method or any other method that assumes disjoint communities to this network, they will have to put node \"D\" into either one of the communities, which is not ideal. A common approach to overlapping community detection is to _allow_ \"fuzzy\" boundaries between communities. There are many ways to do this, and in this simple example, this type of fuzzy overlapping community detection method will work perfectly fine. \n", "\n", "But, while keeping the example very simple, let's think about more complex cases where where the overlap is pervasive and each node can belong to multiple communities. Then the \"fuzzy\" community detection approach may not work well, again due to the limiting assumption that the communities are _almost_ disjoint. \n", "\n", "Going beyond this \"fuzzy\" assumption, we can think about \"pervasive overlapping communities\" where each and every node can belong to multiple communities. This is the most challenging case, and it can also be the most realistic case for many real-world networks. There are, again, many ways to do this, but let's try a conceptually simple and illustrative method based on the concept of \"link communities\" ([Paper](https://www.nature.com/articles/nature09182)), where we think about the communities of _links_ (edges) rather than nodes. It also happened to be my method as well. 🙈 \n", "\n", "The key idea is that 'disjoint link communities' is a better approximation than 'disjoint node communities'. Even when every node belongs to multiple communities, the links between nodes can be partitioned into disjoint communities very well. Instead of trying to put nodes into communities, we put links into communities. \n", "\n", "The method first constructs a weighted \"line graph\" where each edge in the original network becomes a node and two nodes are connected if the corresponding edges share a node. The weights of the edges in the line graph are calculated based on the shared neighbors of the corresponding edges. Then, it applies a hierarchical clustering to the nodes of this line graph. \n", "\n", "Let's try. First, activate your virtual environment and install the package to your virtual environment by running the following command. \n", "\n", "```bash\n", "pip install git+https://github.com/Nathaniel-Rodriguez/linkcom.git\n", "```\n", "\n", "If you use [`uv`](https://github.com/astral-sh/uv), you can install it by running the following command. \n", "\n", "```bash\n", "uv pip install \"linkcom @ git+https://github.com/Nathaniel-Rodriguez/linkcom.git\"\n", "```\n", "\n", "Then we can import and run the method as following. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "clustering...\n", "computing similarities...\n", "# D_max = 1.000000\n", "# S_max = 0.125000\n" ] } ], "source": [ "import linkcom\n", "\n", "e2c, S, D, Dlist = linkcom.cluster(P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `e2c` stores the edge-to-community mapping. It is a dictionary where the keys are the edges and the values are the community IDs. \n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{('F', 'G'): 14,\n", " ('A', 'D'): 6,\n", " ('A', 'C'): 6,\n", " ('C', 'D'): 6,\n", " ('E', 'G'): 14,\n", " ('D', 'F'): 14,\n", " ('A', 'B'): 6,\n", " ('D', 'H'): 14,\n", " ('B', 'D'): 6,\n", " ('B', 'C'): 6,\n", " ('D', 'G'): 14,\n", " ('G', 'H'): 14,\n", " ('D', 'E'): 14,\n", " ('F', 'H'): 14,\n", " ('E', 'F'): 14,\n", " ('E', 'H'): 14}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e2c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that there are two communities 3 and 15. Now we can set edge attributes based on the community IDs. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "nx.set_edge_attributes(P, e2c, \"linkcom\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q: Can you draw the network again with the edge colors based on the community IDs?**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# YOUR SOLUTION HERE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you see now why link community approach can detect highly overlapping communities? \n", "\n", "**Q: Now, download a small network where you expect to see pervasively overlapping community strcuture and try the link community detection method. Visualize the network by coloring the edges using the found community ID.**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# YOUR SOLUTION HERE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Statistical inference approach to community detection\n", "\n", "Pretty much all methods that we have discussed in the class so far are based on some heuristics and/or optimization algorithms. Although they may work perfectly fine for many cases, there is another powerful approach that we want to know about. That is the statistical inference approach to community detection. In this approach, we can be more explicit and flexible about the exact nature of the community structure that we are looking for. We can also quantify the uncertainty of the community structure that we infer and compare different community structures in a principled way." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stochastic block models\n", "\n", "The key idea is that we can think of the community structure as a _generative model_ of the network. That is, we assume that the network is generated by some underlying community structure and we want to infer this community structure from the network. If we have a probabilistic model of the network, we can use the observed network to infer the parameters of the model (Bayesian inference). \n", "\n", "The most fundamental model is the stochastic block model (SBM). In this model, the network is generated by the following process.\n", "\n", "1. Each node belongs to one of the $K$ communities.\n", "2. The probability of an edge between two nodes depends only on the community assignments of the two nodes.\n", "\n", "Let's try an example. Let's have a network with 20 nodes and 2 communities. Nodes 0-9 belong to community 0 and nodes 10-19 belong to community 1. The probability of an edge between two nodes is 0.7 if they belong to the same community and 0.05 if they belong to different communities." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import random\n", "\n", "G = nx.Graph()\n", "G.add_nodes_from(range(20))\n", "\n", "# add community id as node attribute\n", "for i in range(10):\n", " G.nodes[i][\"community\"] = 0\n", "for i in range(10, 20):\n", " G.nodes[i][\"community\"] = 1\n", "\n", "# Add edges between nodes with probability 0.7 if they are in the same community, and 0.05 otherwise\n", "# YOUR SOLUTION HERE\n", "\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Congratulations! Now you implemented a simple stochastic block model. This model generated a network given a set of parameters. Assuming that we fix the total number of nodes, what are the parameters that we set? \n", "\n", "1. The number of communities $K$\n", "2. The community assignments of the nodes $z_i$ ($ 1 \\times N$ vector)\n", "3. The edge probabilities $p_{ij}$ ($K \\times K$ matrix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bayes' theorem\n", "\n", "So how does this help us to detect communities? To understand this, let's look at the Bayes theorem:\n", "\n", "$$ P(\\theta | D) = \\frac{P(D | \\theta) P(\\theta)}{P(D)} $$\n", "\n", "Here, $\\theta$ is the set of parameters of the model and $D$ is the observed data. If we ignore $P(D)$ and $P(\\theta)$ for a moment, we get the following. \n", "\n", "$$ P(\\theta | D) \\propto P(D | \\theta) $$\n", "\n", "What this means is that the probability of any set of parameter given what the data tells us ($P(\\theta | D)$) is proportional to the probability that the data is _generated_ by the model with the parameters ($P(D | \\theta)$). This is the key idea of the Bayesian inference. If we have a generative model that can generate data from a set of parameters, then we can evaluate $P(D | \\theta)$, and this can in turn tell us how good the parameters are given the data $P(\\theta | D)$. \n", "\n", "Here $P(D | \\theta)$ is called the _likelihood_ of the parameters given the data and $P(\\theta | D)$ is called the _posterior probability_ of the parameters given the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Maximum likelihood Coin flips \n", "\n", "To understand this better, let's take a super quick detore to the coin flips. Here, \n", "\n", "1. Our data $D$ is the sequence of 10 coin flips: \"H\", \"T\", \"H\", \"H\", \"T\", \"T\", \"H\", \"T\", \"H\", \"H\". \n", "2. Our model is the Bernoulli distribution with the parameter $\\theta$ which is the probability of getting \"H\".\n", "\n", "Then, the likelihood ($P(D | \\theta)$) is the probability of getting the observed sequence of coin flips given the parameter $\\theta$. We can calculate this directly. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.561000000000003e-07" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coin_flip_data = [\"H\", \"T\", \"H\", \"H\", \"T\", \"T\", \"H\", \"T\", \"H\", \"H\"]\n", "theta = 0.1 # parameter\n", "\n", "# likelihood\n", "likelihood = 1.0\n", "for x in coin_flip_data:\n", " if x == \"H\":\n", " likelihood *= theta\n", " else:\n", " likelihood *= 1 - theta\n", "\n", "likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can make it as a function. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "\n", "def coin_flip_likelihood(theta, data):\n", " return np.prod([theta if x == \"H\" else 1 - theta for x in data])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can evaluate the likelihood for several values of $\\theta$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0 0.0\n", "0.1111111111111111 1.1747213274285833e-06\n", "0.2222222222222222 4.4070404799312956e-05\n", "0.3333333333333333 0.0002709614049348847\n", "0.4444444444444444 0.0007342008296428648\n", "0.5555555555555556 0.0011471887963169767\n", "0.6666666666666666 0.0010838456197395387\n", "0.7777777777777777 0.0005398624587915844\n", "0.8888888888888888 7.518216495542947e-05\n", "1.0 0.0\n" ] } ], "source": [ "for theta in np.linspace(0, 1, 10):\n", " print(theta, coin_flip_likelihood(theta, coin_flip_data))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, plot a likelihood curve." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot a likelihood curve\n", "import matplotlib.pyplot as plt\n", "\n", "thetas = np.linspace(0, 1, 100)\n", "\n", "# YOUR SOLUTION HERE\n", "\n", "plt.xlabel(\"$\\\\theta$\")\n", "plt.ylabel(\"Likelihood\")\n", "plt.title(\"Likelihood of theta given coin flip data\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you find the best parameter now? How? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yes, when the likelihood is maximized, we get the best parameter according to this reasoning. This is called the _maximum likelihood estimation_ (MLE) and it is one of the most common statistical inference method. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Back to SBM\n", "\n", "Although the community detection problem with SBM is more complex, involving many more parameters, the basic idea is the same. Let's go back to the graph that we generated. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(G, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To simplify things, let's assume that we fix the number of communities $K=2$ and the community assignments $z_i$ are known. Let's also assume that $p_{00} = p_{11}$ and $p_{01} = p_{10}$. Then, the only parameters that we need to infer are the edge probabilities $p_{ij}$, namely the two numbers $p_{00}$ and $p_{01}$.\n", "\n", "Note that given the data (the observed network) and parameters, we can calculate the likelihood. This is the probability of observing the network given the parameters. For instance, given a node pair $(i, j)$, the probability of observing an edge between them is $p_{z_i z_j}$ and the probability of **not** observing an edge between them is $1 - p_{z_i z_j}$.\n", "\n", "Then, the probability of observing the entire network is the product of these probabilities for all node pairs." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.676841317675112e-40" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from itertools import combinations\n", "\n", "p00 = 0.7\n", "p01 = 0.05\n", "\n", "# likelihood\n", "likelihood = 1.0\n", "for i, j in combinations(G.nodes, 2):\n", " # YOUR SOLUTION HERE\n", "\n", "likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Btw, do you note that the likelihood is extremely small? As we multiply many small numbers (probabilities), the result becomes extremely small. This can lead to all kinds of numerics problems and we often use the log-likelihood instead. Using log-likelihood makes the multiplication into addition and the numbers are much more manageable.\n", "\n", "Let's write a super simple function to calculate the log-likelihood of the SBM." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-90.80134967375167" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def sbm_likelihood(G, p00, p01):\n", " log_likelihood = 0.0\n", " for i, j in combinations(G.nodes, 2):\n", " # YOUR SOLUTION HERE\n", " return log_likelihood\n", "\n", "\n", "sbm_likelihood(G, 0.7, 0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can vary a parameter to see how the log-likelihood changes." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p00 = np.linspace(0.001, 0.9, 100)\n", "p01 = 0.05\n", "likelihoods = [sbm_likelihood(G, p00, p01) for p00 in p00]\n", "plt.plot(p00, likelihoods)\n", "plt.xlabel(\"$p_{00}$\")\n", "plt.ylabel(\"Log likelihood\")\n", "plt.title(\"Log likelihood of $p_{00}$ given graph G\")\n", "# draw a vertical line at 0.7\n", "plt.axvline(0.7, color=\"red\", linestyle=\"--\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q: try with p01.**" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p00 = 0.7\n", "p01_list = np.linspace(0.001, 0.9, 100)\n", "\n", "# YOUR SOLUTION HERE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's cool to see that the log-likelihood is maximized roughly around the true value of the parameter!" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can vary both. \n", "p00_list = np.linspace(0.001, 0.9, 100)\n", "p01_list = np.linspace(0.001, 0.9, 100)\n", "X, Y = np.meshgrid(p00_list, p01_list)\n", "likelihoods = [[sbm_likelihood(G, p00, p01) for p00 in p00_list] for p01 in p01_list]\n", "\n", "# colormap\n", "plt.pcolor(X, Y, likelihoods)\n", "plt.colorbar(label=\"Log likelihood\")\n", "plt.xlabel(\"$p_{00}$\")\n", "plt.ylabel(\"$p_{01}$\")\n", "plt.title(\"Log likelihood of $p_{00}$ and $p_{01}$ given graph G\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the true parameter value is close to the maximum likelihood estimate, as it should be! \n", "\n", "This is the basic idea of the inference from a generative model. If your model is good, then the best parameters may be those that explain the data best. Although there are much more complexity beyond this simple maximum likelihood estimation, this is the basic idea that you want to really understand. Being able to generate a data from a set of parameters allows us to evaluate how good the parameters are given the data, which in turn allows us to identiy good parameter values given data. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q: Can you identify the best parameters ($p_{00}$ and $p_{01}$) for the network that we generated, by finding the parameters that maximize the log likelihood?**" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p00_max: 0.718\n", "p01_max: 0.110\n", "max_log_likelihood: -87.83062259736532\n" ] } ], "source": [ "p00_list = np.linspace(0.001, 0.9, 100)\n", "p01_list = np.linspace(0.001, 0.9, 100)\n", "X, Y = np.meshgrid(p00_list, p01_list)\n", "likelihoods = [[sbm_likelihood(G, p00, p01) for p00 in p00_list] for p01 in p01_list]\n", "likelihoods = np.array(likelihoods)\n", "\n", "# YOUR SOLUTION HERE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's generate a network with these paraemters and compare the true network and the inferred network side by side. Note that we can generate as many networks as we want from the same MLE parameters. That means we can do all kinds of measurements on the generated networks and estimate the uncertainty of the measurements! This is one of the cool powers of the statistical inference approach!" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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5W4yKsU0tpYIaRY3Z0ssyxcYthBBCCAHyLCNEQijTegBCpKSnnn44P/OKNbmCvkmpKF8EADo5CqCbsxChXq9jbTdcpcb5mRfPPvppdLxCCCGEED+SZxkhEkYCW5GhbbvigZZSkah71Go14QG+KA2yxHmdllLB1sseyRmeEEIIIUSc5FlGiISRwFZkaOcef0xUKnwA//vnCffzxrCkdZzXhavUnHvyMTnDE0IIIYSIkzzLCJEwEtiKDOtbcBgePgGJuifU+zU+p1aiV6AkhuXqx3u9h3cA/sFhSR2iEEIIIUSs5FlGiISTwFZkWO7e/iTm/Wb4t8983DMNpZ4hOVuPR6HUivceNfDK2z/JYxRCCCGEiI08ywiRcFLHVmRYITGkxI+NKsgfz91TUAX5k6fzXLQzG6dIP0IIIYQQCSXPMkIknMzYigxLVzthf73VYSF83DudsM9vyd1+Mro5E1esPKH9CCGEEEIkhjzLCJFw8rdYZFiFjQ2JL4egWhXOpwNzCX73iFytx6FXoFSi+lD8fz9CCCGEEJomzzJCJJwsRRYZlqGeNoVyGOAeR9KFz2fXE/jsCpmKVSU88Bvf7p2Lct6obN04+yhkbIChnvwzEkIIIYTmybOMEAknf4tFhlbXLDdbrrjHmiY/xPMFAIHPrhL47Gq083F9GWgpFdQtkVszAxVCCCGEiEFKPssoUFPVRGZrRcagUKvViSuMJUQ68tTTj4aLL6RY+6eH16JY7swp1r4QQgghfm0p/Szz6Z/BtGtkzdChQ6lcuXKK9SNESpM9tiJDK54nM9bFcqKl4b/palU4ZlnVEtQKIYQQIkX971kmvt22iaOlVFCtcFamjRzA+fPnqVKlCrVr12bfvn2Eh4drtC8hUoMEtiLDG26Vl/DQUDS5OEGJmrNzetOhQwc8PT011q4QQgghxH/NaFUGdXiYRp9ltJUK5revzKhRo3j+/Dl79+5FpVLRtm1bihUrxsKFC/ny5YvG+hMipUlgKzK0u3fvYtuoFmFXtqNQaO5N5+x2ldi8chHnzp2jVKlSbNy4UaNfNkIIIYQQACEhIUwY2pdPx1do9FlmessyFMxhAIC2tjZt27bF2dkZNzc3rK2tGTduHCYmJgwePJinT59qrF8hUooEtiLDOnbsGDVr1iR79uxc3raQUY1KJK/B/w9ce1QxpqNFITp16sTDhw9p0aIFPXv2pGHDhjx//lwDIxdCCCGEgG/fvtGiRQv27t3Lxj97J/9Z5v+NbmTG7xYx17qtUqUKmzdvxt3dneHDh7Nr1y7MzMxo0aIFp0+flhf54qclga3IkJYvX46NjQ21a9fGxcUFExMTBtUtzpw25dDTViZ6n4qWUoGejhLtG7vYOr4LXl5eAOTMmZNNmzZx/Phxnj17Rrly5XBwcCAsLCwlPpYQQgghfhGfPn2iXr16XLp0iePHj9OuXbtkPcsoFaCnrWRum3IMrFss3uvz5cvH9OnT8fDwYP369Xh4eNCwYUPKlSvH2rVrCQwMTOpHEyJFSFZkkaGEhYUxfPhwli9fzvDhw5k/fz5aWlpRrnntE8CE/XdxfuaFQq1CrYj9/Y6WUkG4So11sZzMsi1HqO8Hqlevzm+//caZM2fIlClT5LXfvn1j0qRJLFmyhMqVK7Nu3ToqVqyYUh9VCCGEEBnUq1evaNSoEV+/fuXYsWNUqlQpyvkfn2UinlVio0CNGgV6n19yamYPChknrbyPWq3m/PnzLFmyhEOHDpEjRw769u3LgAEDKFCgQJLaFEKTJLAVGcbXr1/p2LEjJ0+eZPny5fTr1y/O6596+tF86By0CpYnSNuIKP8Q1GoM1AF0qFmGztUKRcl+fO3aNWrXrk2zZs3YvXs3SmXUwPjKlSv07t2bhw8fMnr0aCZPnhwlABZCCCGEiM2dO3do0qQJBgYGnDx5kqJFi8Z67VNPP7Zd8eDck494eAdEeZZRq9Xoh/rB+/tMaG9N9zZN2LdvH7a2tske4/Pnz1m2bBkbNmwgMDCQ9u3bM2zYMKpWrZrstoVIKglsRYbg7u6OjY0NHh4e7N27l4YNG8Z7j7e3d+RS4ra/2/HK25+QMBW62krmThrFnevXuHXrVoz3Hjx4EFtbW4YPH86CBQuinQ8JCWH+/PlMnz4dU1NT1q5dS+3atZP7MYUQQgiRgTk5OdGyZUuKFSvG0aNHyZMnT4Lv9Q8Oi3yWuezqwsCuHVizYhl9+vTh3r17jBw5kufPn3P//n10dXU1Mt6vX7+yceNGli5dyosXL6hevTpDhw6lTZs26OjoaKQPIRJK9tiKdO/KlStYWlri7+/PpUuXEhTUAri4uABQu3ZtDPW0KZM/K5UKZadM/qzUqVmdO3fuxJrmvlWrVixdupSFCxeybNmyaOd1dXWZOHEit2/fJk+ePNSpU4e+ffvi6+ub5M8phBBCiIxr3759NG7cmKpVq3L+/PlEBbVAlGeZ1rXNUYcGYWRkRPbs2dm2bRvz58/nxYsXrF69WmNjzpIlC0OHDuXJkyccPHgQfX19OnbsSNGiRZk7dy4+Pj4a60uI+EhgK9K1PXv2UKdOHYoWLcrly5cpXbp0gu91cnLC1NQUU1PTaOesra1Rq9W4urrGev+gQYMYMWIEQ4cO5eDBgzFeU7JkSZycnFixYgU7duygdOnS7N+/P8FjFEIIIUTGt2rVKtq3b4+trS1Hjhwhc+bM8d8Uh3z58lGgQAFu375N+/bt2b59O2XKlKFHjx5MmzZN4/VptbS0aNmyJWfPnuXWrVs0bNiQKVOmYGJiQr9+/Xj48KFG+xMiJhLYinRJrVYza9YsOnTogK2tLWfPniV37tyJauPChQvUqlUrxnPFihUjd+7ckbO6sZk/fz5t2rShU6dOXL16NcZrlEol/fv358GDB5ibm9OmTRvatm3L+/fvEzVeIYQQQmQsarWaadOm0b9/fwYNGsS2bds0tkzYwsKCa9euYW9vj7u7OxcvXmT69OkEBgYye/ZsjfQRkwoVKrBhwwY8PDwYP348Bw8epHTp0jRp0oRjx46hUqlSrG/xa5PAVqQ7wcHB9OjRg4kTJzJ16lS2bduGvr5+otr48uULN2/ejHXfq0KhwNraGmdn5zjbUSqVbNmyhYoVK9KiRQtevHgR67UmJiYcPHiQXbt24eLiQqlSpVi3bp3UgxNCCCF+QeHh4QwYMICpU6cye/ZsFi9eHC0hZXKYm5vj5uZGjRo1KFSoENu2bSN//vyMGjWKxYsX4+7urrG+YpI7d24mTZqEu7s7W7ZswcvLi2bNmlG6dGlWrlyJv79/ivYvfj0S2Ip0xdvbm4YNG7Jjxw62bdvGlClTUCgSV8cN4OLFi6hUqlhnbAGsrKy4evUqwcHBcbaVKVMmDh06RJYsWWjWrFmc+0kUCgUdOnTg4cOH2Nra0qdPH+rXr8+zZ88S/RmEEEIIkT4FBQXRoUMH1q5dy/r16xk3blySnmfiYmFhwZcvX3j58iV2dnbs2bOHkJAQRo8eTbZs2Zg4caJG+4uNrq4unTt35tq1a7i4uFCuXDkGDRqEiYkJY8aMwcPDI1XGITI+CWxFuvH48WOqVavGw4cPOXv2LHZ2dklu68KFC+TLl49ixWIvUG5tbU1wcDBubm7xtpczZ06OHTuGl5cXrVu3JigoKM7rc+TIwcaNGzl16hSvXr2iXLlyzJ07l7CwsER/FiGEEEKkH1++fKFJkyYcPXqU/fv307NnzxTpx9zcHCByObKPjw/Hjx/HyMiIv/76i23btiXoGUdTFAoFNWvWZM+ePbx48YLevXuzZs0aihYtSvv27bl48aKsYhPJIoGtSBfOnTtHtWrV0NHR4cqVK9SsWTNZ7Tk5OVG7du04345WqFABIyOjePfZRihWrBiHDx/m2rVr9OjRI0F7SBo0aMDdu3cZNGgQEyZMoGrVqty4cSPBn0MIIYQQ6cf79++pXbs2d+7c4fTp07Ro0SLF+sqRIwdFixbl2rVrlC1blvLly7N161YAevToQZkyZRg9enSaBJOmpqbMnz+fN2/esHTpUu7cuYOVlRVVq1Zl27ZthISEpPqYRPonga346W3YsIFGjRphYWGBq6trnIXKE8Lf3x83N7c4lyEDaGtrU7169Xj32f6oevXqbN26lV27djFhwoQE3WNoaMj8+fO5cuUK4eHhVK1albFjxxIQEJDgfoUQQgjxc3v69Ck1atTAy8sLZ2fnZL+kTwgLC4vIWdnOnTtz+PBhvn79ira2NvPnz+f8+fM4Ojqm+DhiY2RkxIABA3j48CFHjx4lR44cdO7cmcKFCzNjxgw+ffqUZmMT6Y8EtuKnpVKpGDt2LL169aJXr14cOXKEbNmyJbvdS5cuERYWFmviqB9ZWVlF7sdNqLZt2+Lg4MDcuXMTVSsuIsnDX3/9xZIlSyhfvjxnz55N8P1CCCGE+Dm5ublRs2ZNMmXKhKurK2XKlEmVfi0sLLhx4wZhYWF06tSJ4OBg9u3bB0CTJk2oX78+o0ePJjQ0NFXGExulUknTpk05ceIE9+/fp2XLlsyaNYuCBQvSq1cv7ty5k6bjE+mDBLbip+Tv70+7du2YP38+CxcuZOXKlejo6GikbScnJ3LmzEmpUqXivdba2hpfX1/u37+fqD6GDx/O4MGDGTBgAEePHk3wfTo6OowfP547d+5QoEAB6tevT+/evfn8+XOi+hdCCCHEz+HUqVPUqVOH3377DWdnZwoVKpRqfZubmxMQEMDDhw8xMTGhdu3abNu2Dfi+59XBwYEnT56wbt26VBtTfEqXLs2qVat4/fo1U6dO5cSJE1SoUIH69etz+PBhKRckYiWBrfjpvHv3jtq1a3Py5EkOHDjA8OHDNZopMKJ+bULatLS0RFtbO8H7bCMoFAoWLVpEixYt6NChA9evX0/U/SVKlODcuXOsXr2aPXv2ULp0af79919JqiCEEEKkIzt27KB58+bUqVOH06dPY2xsnKr9V65cGYVCEbkc2d7enjNnzvDu3TsAKlasSNeuXZkyZQpfv35N1bHFx9jYmHHjxvHy5Ut27txJQEAALVu2pESJEixduhQ/P7+0HqL4yUhgK34qt27dwtLSkg8fPuDi4kLLli012n5QUBBXrlxJ0DJkAAMDA6pUqZKofbYRtLS02L59O6VLl8bGxibR9eKUSiV//PEHDx48wNLSknbt2tGmTRvevn2b6LEIIYQQInUtWbIEOzs77Ozs2L9/P4aGhqk+hsyZM1OyZEmuXbsGQLt27dDR0WHnzp2R18yYMQM/Pz/mzZuX6uNLCB0dHX7//XcuXbrE5cuXqVq1KiNHjsTExIThw4fz4sWLtB6i+ElIYCt+GocPH8bKyoo8efJw9epVKlasqPE+rly5QnBwcLyJo35kZWWV6BnbCAYGBhw+fJhMmTLRrFkzfH19E91GgQIF2L9/P3v37uXy5cuULl2aNWvWyFIcIYQQ4iekVqsZP348w4YNY+zYsWzcuFFj26mSwsLCIjKwzZYtGzY2NpHLkQFMTEwYOXIkCxYs4M2bN2k1zASxtLRk+/btvHz5koEDB7J582aKFStG69atOX/+vKxs+8VJYCvSnFqtZtGiRbRq1YqGDRvi5ORE/vz5U6SvCxcukC1bNsqVK5fge6ytrXn9+nWiZ1wj5MmTh2PHjvH+/XvatGmTpBT2CoWCtm3b8uDBA9q3b0/fvn2pV68eT548SdKYhBBCCKF5YWFh9OzZkzlz5rBw4ULmzJmj0e1USWFhYcHt27cJDg4Gvi9HvnHjBg8fPoy8ZsyYMWTOnJk///wzrYaZKCYmJsyaNYvXr1+zevVqnj59St26dalUqRL//PMPQUFBaT1EkQYksBVpKjQ0lAEDBjBixAhGjx7Nv//+m6JLdZycnLCyskJLSyvB90Sk40/qrC2AmZkZBw8e5OLFi/Tq1SvJbxSzZ8/OunXrOHPmDG/evKF8+fLMnj07zbMZCiGEEL+6gIAAbG1t2bp1K1u3bmX48OFpPSTgewKp0NBQ7t69C0CzZs3ImjVrlFnbLFmyMG3aNDZv3szNmzfTaqiJZmBgQJ8+fbh37x4nT57ExMSEHj16UKhQIaZMmcKHDx/SeogiFUlgK9KMr68vzZs3Z926daxbt465c+eiVKbcX8mQkBBcXV0TvL82QkQG5aTss/2RtbU1mzZtYuvWrUyePDlZbdWrV487d+4wdOhQJk2aFFkqSAghhBCpz8fHhwYNGnDu3DmOHDmCvb19Wg8pUsWKFdHW1o58TtDX16d9+/Zs3749yov23r17Y2ZmxujRo9Pdkl6FQkHDhg1xdHTk8ePHdOjQgQULFlCoUCG6du3KjRs30nqIIhVIYCvSxMuXL6lRowbXrl3jxIkT9OrVK8X7vH79OoGBgYkObCF5+2x/1LFjR+bMmcOMGTPYsGFDstoyMDBg7ty5XL16FS0tLSwtLRk1ahT+/v7JHqcQQgghEub169dYWVnx9OlTzp07R6NGjdJ6SFHo6+tTrly5yH228H058suXL7l06VLkMR0dHebNm8eZM2c4fvx4WgxVI0qUKMHy5ct58+YNs2fP5sKFC1SpUoVatWrx77//EhYWltZDFClEAluR6lxdXbG0tCQkJITLly9Tr169VOnXyckJIyMjKlWqlOh7ra2tuX//Pt7e3skex5gxY+jbty9//PEHJ06cSHZ7lStX5urVq8yePZu///6bcuXKcfr06WS3K4QQQoi4PXjwgBo1ahAYGMjFixexsLBI6yHFyNzcPEpgW6tWLUxMTKIsRwawsbGhTp06jBo1Kt0HgNmyZWPkyJE8e/aMvXv3At+zQhcrVowFCxYkKaGn+LlJYCtS1fbt26lXrx4lS5bk8uXLmJmZpVrfFy5coGbNmmhrayf6XisrK+B7UJ5cCoWC5cuX07hxY9q1a8ft27eT3aa2tjZjxozhzp07mJqa0rBhQ3r06IGPj0+y2xZCCCFEdK6urlhZWZEjRw4uXrxIiRIl0npIsbKwsOD+/fsEBAQA30sK2tnZsWvXrih5OhQKBQ4ODjx48ICNGzem1XA1Sltbm7Zt23LhwgWuX79O7dq1GT9+PCYmJgwaNEgScWYgEtiKVKFWq5k2bRr29vb8/vvvnDp1ipw5c6Za/2FhYbi4uCRpGTJA4cKFKVCggEaWI8P3H7K7du2iRIkSNG/eXGPp9YsXL87Zs2dZt24d+/fvp1SpUuzevTvd7ZURQgghfmaHDx+mQYMGlCtXLkWrOWiKhYUFKpUqSmIoe3t7vL29o60eq1KlCvb29kyaNIlv376l9lBTVOXKldm0aRMeHh6MHDmS3bt3Y2Zmho2NDadOnZLnpXROAluR4oKCgujcuTNTp05lxowZ/PPPP+jp6aXqGG7fvo2fn1+i6tf+SKFQYGVllewEUj8yMjLC0dERLS0tmjVrxpcvXzTSrkKhoFevXjx8+BBra2t+//13WrVq9dPXphNCCCHSg40bN2Jra0vTpk05ceIE2bJlS+shxatMmTLo6+tHWY5cvnx5ypYtG205MsDMmTPx9fXFwcEhNYeZavLmzcu0adPw8PBg48aNvHnzhkaNGlGuXDnWrl0bObMt0hcJbEWK+vTpE/Xr12ffvn3s2rWLiRMnpkk9NycnJ/T19ZO198Xa2ho3NzcCAwM1Nq58+fJx9OhRPDw8aN++vUbL9uTLl4+9e/eyb98+3NzcKF26NCtXrkSlUmmsDyGEEOJXoVarmTNnDj179qR3797s3r0bfX39tB5Wgujo6FCxYsVoFRTs7e05ePAgfn5+UY6bmpoybNgw5s+fz7t371JzqKlKX1+f7t27c/PmTc6dO0fx4sXp27cvBQsWZMKECbx9+zathygSQQJbkWIePHiApaUlz5494/z583To0CHNxuLk5ET16tXR1dVNchtWVlaEhoZy9epVDY7s+1vU/fv3c/78efr27avxZTC2trY8ePCATp06MWDAAGrXrs2jR4802ocQQgiRkalUKoYPH8748eOZMmUKK1euREtLK62HlSgWFhZRZmwB7OzsCAwMZP/+/dGuHz9+PJkyZUp2icL0QKFQUKdOHfbv38+zZ8/o2rUry5cvp3DhwtjZ2XHlypW0HqJIAAlsRYo4deoU1atXx9DQkKtXr2JpaZlmY1GpVDg7Oyd5f22EsmXLkjVrVo3ts/1R3bp12bBhAxs3bmTGjBkabz9btmysXr2a8+fP4+npSYUKFZgxYwYhISEa70sIIYTISEJCQujcuTNLly5l5cqVTJ06NU1WnyWXubk5T548iZINuFChQtSqVSvG5chZs2ZlypQpbNiwgTt37qTiSNNW0aJFWbRoEW/evGHBggVcvXqVatWqUb169WjJtlKCf3AY99994abHZ+6/+4J/cPrOTp2aFGrZJS00bNWqVQwaNIiGDRuya9cusmTJkqbjuXPnDhUqVODcuXPUqVMnWW01a9YMlUqVYvXdZsyYwaRJk9i0aRNdu3ZNkT4CAwP566+/mDdvHqVLl2bdunVUrVo1RfoSQggh0jM/Pz/atGnDhQsX2L59O23btk3rISXZw4cPKV26NGfOnIlSanHNmjX079+ft2/fkjdv3ij3hISEULZsWYoWLZqua9smR3h4OEePHmXx4sWcPXuWAgUKMGjQIPr06YOxsbFG+njq6ce2Kx6ce/wRD58AfgzOFEChHAbUNcuNvWUhiufJrJE+MyKZsRUaEx4ezogRI+jfvz/9+/fn8OHDaR7UwvcyP7q6uhqZNba2tsbV1ZXw8HANjCy6iRMn0qtXL3r16sXZs2dTpI9MmTIxa9Ys3Nzc0NXVpVq1agwfPhx/f/8U6U8IIYRIjz5+/EjdunW5evUqJ06cSNdBLUCJEiUwMjKKthy5Xbt2aGlpsXPnzmj36OrqMnfuXE6cOMHJkydTa6g/FS0tLVq0aMGZM2e4ffs2jRs3ZurUqRQsWJC+ffvy4MGDJLf92ieALuuv0HDxBbZcccf9P0EtgBpw9wlgyxV3Gi6+QJf1V3jtI8mtYiIztkIjvn37hp2dHUeOHGHx4sUMHjw4rYcUqX379nz48EEjGY2dnZ2pVasWN27coFKlShoYXXShoaHY2Nhw5coVXFxcKFu2bIr0A9/LIC1ZsoRJkyaRJ08eVq1aRePGjVOsPyGEECI9ePnyJY0aNeLbt28cP36cChUqpPWQNKJOnTrkzJmTvXv3Rjlua2vLmzdvogW98D1pVq1atfj69Ss3btxId3uLU8KnT59YvXo1f//9Nx8+fKBRo0YMHTqUJk2aoFQmbN5w5zUPphy6T5hKTbgq4eGYllKBtlLBtJZl6GhRKKkfIUOSGVuRbG/evMHa2ppz585x+PDhnyqoVavVXLhwIcllfv7LwsICXV3dFNlnG0FHR4c9e/ZgampKs2bNUjQboba2NiNHjuTu3bv89ttvNGnShK5du+Lt7Z1ifQohhBA/s1u3blGjRg0AXF1dM0xQC9+fY/6bGRm+Z0d2c3PjyZMn0c4pFAocHBy4c+cOmzdvTo1h/vRy5crFn3/+ibu7O1u3bsXHx4fmzZtTqlQpVqxYEW/93+XnnjJu312Cw1SJCmoBwlVqgsNUjNt3l+XnnibnY2Q4EtiKZLl+/TpVq1bFx8cHV1dXmjVrltZDiuLx48d8/Pgx2YmjIkSUDNJkPduYZMmShSNHjqBSqbCxsUnxAum//fYbp06dYsOGDTg6OlKqVCl27NghhcqFEEL8Us6fP0/t2rUxMTHh4sWLFClSJK2HpFHm5ua4u7vz6dOnKMdtbGzIkiVLjEmkACwtLfn999/5888/ZevSD3R1dbG3t+fq1au4uLhQoUIFBg8ejImJCaNHj8bd3T3aPTuveeBwMvoLhAjBH57xce90Xi/uiIdDW96tG8BXt0MxXutw8gm7rnlo7POkdxLYiiTbv38/1tbWFCxYkCtXrlCuXLm0HlI0Tk5OaGlpRb551QRra2tcXFxSPOgzMTHh6NGjPHv2jA4dOhAWlrJZ8RQKBT169ODBgwfUrVsXOzs7bGxs8PCQH5hCCCEyvr1799K4cWMsLS05e/YsuXPnTushaZyFhQVAtFlbfX192rZty9atW2N9vpk9ezZeXl4sXLgwxceZ3igUCmrWrMnu3bt58eIFf/zxB+vWraNo0aK0b98+8rnxtU8AUw7dj7WdwJc3+LBlFOEBX8haoyPZG/QhU7GqhPt5xXrP5EP3Zc/t/5PAViSaWq1m3rx5tG3bFhsbG86fPx8ti97PwsnJiSpVqmBkZKSxNq2srHj//j0vXrzQWJuxKV++PP/++y+nTp1i4MCBqTKDmjdvXnbt2sXBgwe5desWZcqUYfny5ahUqhTvWwghhEgLK1eupEOHDrRt2xZHR0cyZ86YmWeLFClCjhw5YtxL27lzZ168eBFrzdYiRYowePBg5s6dy4cPH1J6qOmWqakp8+bN482bNyxfvpy7d+9ibW2NhYUF3VecJCyWpceq4AC8HBeS6TcL8naZT5aqrclcsQnZ63Qne92esfYXplIzYf/dlPo46YoEtiJRQkJC6NOnD2PHjmXChAns3LmTTJkypfWwYhSxv1ZTy5Aj1KhRA4VCkaL7bH/UsGFD1qxZw5o1a5g7d26q9AnQsmVLHjx4QJcuXRg8eDBWVlbJyvwnhBBC/GzUajVTpkxhwIABDBkyhK1bt6Krq5vWw0oxCoUCc3PzGAPb2rVrkz9//liXI8P36g26urpMnTo1BUeZMRgaGtK/f38ePHjA0aNHyWxSnOf+OrHuqfV/cB6Vvy/Za3VFoVCiCglCrY5/UiFcpcb5mRfPPvpp+iOkOxLYigT7/PkzTZo0YfPmzfzzzz/MmDEjwZnf0sKLFy94+/atxhJHRciePTtly5ZN8X22P+rRoweTJ09m/Pjx7NixI97rNVXcO2vWrKxYsYILFy7g4+NDxYoVmTZtGiEhIUlqTwghhPhZhIeH069fP6ZPn86cOXNYtGjRT/1coykRCaT+uwpMS0uLTp06sWvXLkJDQ2O8N3v27EyePJm1a9fKy+4EUiqVNG3alNo9/0SpiP26oFe3UOgZEPbNm7dr+vJ6YTteL+yA94m/UYfF/dylpVSw9bJsHZNyP78Q/+AwXnn7ExKmQldbSWFjQwz1tBN077Nnz2jevDleXl7s379f48FiSti4cSO9evXCx8eHbNmyabTtgQMHcubMGR49eqTRduOiVqvp3r07O3fu5NSpU9H+G6R0ce+goCBmzJjB3LlzMTMzY+3atVSvXj15H0oIIYRIA0FBQdjZ2XHo0CHWrl1Ljx490npIqebgwYO0bt2a169fY2JiEuXczZs3qVy5MkeOHIk1IWhISAilSpWiVKlSODo6psaQM4Ta88/hHsde2HfrBxHm+x4Ao/KN0C9UjiCPu/hdP4xBqVrkajUmzvZNjQ1wGlVXo2NObySwzeA0EexcuHABW1tbcubMiaOjI8WLF0+VsSdX9+7duXPnDjdu3NB42zt27MDOzg5PT89UTS4REhJC06ZNuXHjBq6urpQqVYrXPgFM2H8X52deaCkVcaaNjzhvXSwns2zLUTCHQaLHcOfOHXr37o2bmxuDBg1i5syZGXYvkhBCiIzH19eXVq1ace3aNXbv3o2NjU1aDylVvX37FhMTE/bt24etrW2Uc2q1mrJly1KxYsU4lyTv2bOHDh06cObMGerVq5fSQ073vgWHUW7qCeIKut6u6k2Y7weMKjXFuPHAyOPex5fz7dZx8v+xGp0cBWK9XwHcm9o4wZNWGVHGX2/xi3rtE0CX9VdouPgCW6644/6foBZADbj7BLDlijsNF1+gy/or0bKqbd68mQYNGlChQgUuXbqUboJa+J44KqVmlq2trQG4ePFiirQfG11dXf79918KFChAs2bNWHPmHg0WOeH64nvd2fhqoUWcd33hTYNFTuxMQor48uXLc+nSJRYsWMD69espW7Ysx44dS/yHEUIIIVLZu3fvqFWrFnfv3uX06dO/XFALUKBAAfLlyxdjPVuFQoG9vT0HDhyIs9Rgu3btqFatGqNGjZLkkgng7u0fZ1ALoND+vrfbsFTU3DCGpesAEPw27lWCauCV969dikkC2wxo5zWPZAc7KpWKP//8k27dutGlSxeOHz9Ojhw5UnzsmuLh4cGrV680njgqgomJCaampqm6zzZCtmzZOHr0KKEl6jPrtHuaFPfW0tJi+PDh3Lt3DzMzM5o1a0bnzp2j1cVLDE3tCxZCCCFi8uTJE2rUqMHnz59xcXHRaCnA9MbCwiLGBFIAdnZ2BAQEcPDgwVjvVygULFiwgJs3b8Y5syu+CwmLP/jXMjL+/r+G2aIeN8wKgCoo9hcNieknI/t156ozqOXnnsZZ9Dku4So14Sr192Bn7SYurp3J3LlzGT16NApFHLvdf0IXLlwA/jezmhIi6tmmBVdP0K5sG/+FCeBw8gm5jPT43aJQou8tUqQIJ06cYMuWLQwfPpzjx4+zePFi7O3tE/R3JqX3BQshhBAAV69epXnz5uTKlYsTJ05QsGDBtB5SmjI3N2fRokWo1epo39eFCxemZs2abN26FXt7+1jbqFGjBu3atWPChAm0a9fup62S8TPQ1Y5/LlE3728EvbpJmJ83Osb/2/sc5ucDgJZBVo30k5H92p8+g9l5zSPWoDb4wzM8d03GY2F7PBa2x3PnJEI8Y6/D+sa4MqNX7WfMmDHpLqiF74FtmTJlyJkzZ4r1YWVlxY0bN+JcqpMS4ivurQ4L5fO5jbxZ3hUPhza83zSCwJc342wzOcW9FQoFXbt25eHDhzRq1IguXbrQrFkz3N3d4/wMmlgqL4QQQsTnxIkT1KtXj+LFi+Pi4vLLB7Xwfcb28+fPvHgR87Ng586dOXXqFB8/foyzndmzZ+Pp6cnixYtTYJQZR2FjQ+J7mjYs+X0y5tudk1GOf7tzEpRa6BUqF+f9iv/v51cmgW0GEVewE/zhGZ5bxxDm+4FsNTuRtWZHQj+/48P2cYR6v4m1zYNv9NJtIOHk5JRiy5AjWFtbEx4eHmsh85QyYf/dWIt7A3gdWcTXawcwLF2H7A3+QKFU8nHPVIJexx4Ma6K4d+7cudm+fTuHDx/m3r17lClThiVLlhAeHh7lOk0slRdCCCESYtu2bdjY2FCnTh1Onz6drrZVpSRzc3OAWJcjt2/fHoVCwa5du+Jsp1ixYgwYMIDZs2fHGwT/ygz1tCkUT8JO3by/YVi+IQEPnPh0YC5+N47w6cAcAh44kcWyDdqZjeO8v5CxwS+dOAoksM0w4gp2vjhvRaGtS96uDmSxbENWy7bk7TIf1Gp8nTbH2qYmgp208P79e548eZLiJYlKlixJjhw5UnWf7VNPP5yfecUaDAa/e0zAwwtkq92N7PV6krliE/J0moV2ltz4nt8Ya7uaLO5tY2PDgwcP6N69O8OHD6dmzZrcu3cP+L5Ufty+u2myL1gIIcSvZdGiRXTu3JnOnTuzf/9+DAwSXwkgo8qZMyeFCxeONbA1NjamadOmCdo/O2nSJJRKJdOnT9f0MDOUuma50YqrkC1g3HggWa3sCH73GJ/TawnxfE72+n3IXrtbnPdpKRXULZF6VTp+VhLYZgDxBTtBr++jX7giWpmyRB7TNsqBfsGyBDy/iiokMMb7NBnspKaIQDOlZ2yVSiVWVlapus922xWPOH8oBjy+CAolmSs2iTym0NbFqEJDgt8+Iuxr7MmdNFncO3PmzCxfvhxnZ2e+fv1K5cqV6fTnshiXyge538F9jk2Mv2LLAOhw8gm7ZOZWCCFEDNRqNWPHjmXEiBGMHz+eDRs2oKOjk9bD+ulYWFjEmBk5QufOnbly5QpPn8b9MtnY2Jg///yTVatW8fjxY00PM8NoVTZHvC/1FVraZLOyw2TABkzHHKBA37VksWgVb9vhKjWdqyU+V0pGI4FtBhBfsKMOD41MIf4jhY4ehIcR+in2vZCaDHZSi5OTEyVKlCBv3rwp3peVlRWXLl0iNDQ0xfsCOPf4Y5w/FEM8X6CTowBKvahvpXXzlYg8H5twlZpzTzS7jKhmzZrcvHmTQeOm4BpUAOIom525SguMbUZG+aWdPV+s1ydnX7AQQoiMKTQ0lB49ejBv3jwWL17MrFmz0mWukNRgbm7O9evXo20ZitCiRQsyZ87M9u3b421r0KBBFCxYkLFjx2p6mOmeWq1mx44dNLeqQoj7bRTxFv5JHC2lAutiOSmWW5JsSmCbAcQX7OjkMCH43WPUqv/94FKHhxL87vtbtTA/71jvTYlgJ6VduHAhxZchR7C2tiYgIIBbt26leF/fgsPwiCeQC//mg5ZR9mjHtYxyRJ6Pi4d3gMbL7Ojp6fHJtAFaunoQx8OFXsEyGJWtG+VXXBkA0+tSeSGEECnD39+f1q1bs337drZv387QoUPTekg/NQsLC/z9/WOdZc2UKRNt2rRh27ZtqON4MQ2gr6/PrFmzOHjwIE5OTikx3HTp0aNHNGjQADs7O6pXr86+CR3Q1dbSaB/aSgWzbONOLPWr+LV3GGcACQl2Mlduhs+JFXgfXUqWam1BreKL6y7Cv30GQB0WEuf9EcFOetiQ7uXlxb179xg9ejTh4eGo1eoov1QqVbRjSbkm4jpjY2P09fU5cOAAxsbGyWorvmte+YbF+45PHRYCWtGXW0XM2Mf33zqiuHeZ/PGnlE+oiKXyCaEKDkCho4dCGf8P/R+XystbSiGE+LV5e3tjY2PD3bt3OXLkCA0bNkzrIf30qlSpAnxPIFW6dOkYr7G3t2fTpk24ublhYWERZ3u///47ixYtYtSoUVy5cgWl8tedP/P392fmzJk4ODhQqFAhjh49StOmTQGYFqjLuH2aezE/vWUZCsaTmOpX8fNHKiJO7t7+8QY7mSs1I+yrF1+v7MP/3hkAdPMWJ0u1tnx13YVSVz/O+9VA0fKWqD+/TvC4YnuzF3E8Ilj777GYzkUEfT+eiy0wjNCtWze6dYt7o70mzZo1i1mzZqVoH7r5SpCv28I4r1Fo60J49GXREQFtTEvS/8vJ+SL+RXKSI0cOjI2NyZo1a7K+nCKWyse3r8T76BLUIYGgUKJXsAzZ6/ZEL1/xOO+JWCo/tWWZJI9PCCFE+ubh4UHjxo3x9vbm/PnzkRl/RdyyZMmCmZkZ165di/WZqV69euTNm5etW7fGG9gqlUocHByoXbs2u3btolOnTikx7J+aWq3m0KFDDBkyBE9PTyZOnMjYsWPR1//fs3ZHi0J4fQvG4eSTGOsIJ8boRmb8biF7ayNIYJvOhYSpEnRd9tpdyWLZhtBP7ij1DNHNXZjPTpsA0M5RIN77w1EQGhwcGUCqVKrIX2q1OnJ2NCUpFAqUSiVKpRItLa1o/6ulpYW/vz/BwcHkz58/8tiPv5RKJdra2jGe09LSQltbO8r5//7/iN9H/H9tbW1cXV25ffs2I0eOREdHJ/IaXV3dKNdGnIs4H/H7H//3x/+vpaWFQqGI/PXSN5SBh2MvzwTflxyHx7C0PGIJcsSS5LgMGzKI0I8vI3+vVCrJnj07xsbGkcHuj/8/tmNGRkYoFIp4l8qjpYOBWQ0yFTVHaZCVUC8Pvl7dj+e2seTtPB/dvL/FemvEUvmpSGArhBC/onv37tGkSRN0dHS4ePEixYvH/UJURBVfAiktLS06derEtm3bWLBgAdracYcOtWrVonXr1owfPx5bW9soAV1G9+LFC4YMGcKRI0do0qQJZ86coVixYjFe29OyAAtnTUNVqR1aOrqJqhShpVSgrVQwvWUZCWr/QwLbdE5XO+EzaVr6RmgV/F8AEPTqFlqZc6JjbBLvvU7nzsS7PDUiwA0LCyM0NJSwsLDIX3H9PjHXxnfvhg0bMDU1pW7duom6Nzg4ONH9/jfZwl9//ZXg/xYJoVAoogbF+oYY9VgT55s93dxF+ep+B1VwQJQEUiHvvmcj1s1TNM4+1Wo1YZ/fo1QqyZIlC1myZMHQ0BB9fX10db/P9r57945nz57x7ds3vn37hp+fHypV9Bcs2traZM2ZB6Nuq+LcW6tvUgp9k1L/O1DcEoOSNXm/fjCfnTaR5/e4ywekp6XyQgghNMfFxYUWLVpgamrKsWPHyJcv9oSDImYWFhbs2bOHkJCQyO/5/7K3t2fRokWcOXOGxo0bx9vm3LlzKVOmDMuWLWP06NGaHvJPJzg4mHnz5jFr1ixy5szJv//+i62tbZzPa3/++SfvXf7l+JzxrLv1DednXqhV4XFuxYpY/VajqDGzbMvJ8uMYyJNgOlfY2BAFJDq/mv/DC4S8f0r2uj1RKOIOjhX/3098fgzE0uIN3ZcvX5g3bx5z5syhZ8+eKd5fRCDv4+ND3rx5WbRoEXZ2dikayG/9EoKfWi/WMRmUrMnXq/vwu3WcrJZtvo8zLJRvd0+hm98M7Sy54v5Qfh/JkcWQ4GBtAgMD8fPzizVbYnzCwsL4qtLFKAlLbHSy5ydTcUsCnrjG+4M+JfYFCyGE+LkdOnSI33//HUtLSw4ePEjWrPIdkBTm5uYEBwdz7949KleuHOM1lStXxszMjK1btyYosC1RogR9+/Zl5syZ9OjRg5w5c2p62D+NkydPMmjQIF6+fMmIESOYNGkSRkZGcd7j6urK4sWLmTdvHrWrlKF2FRgwfjoHH/pQzLoV7t7+USYEFEAhYwPqlshN52qFJK9IHCSwTecM9bQplMMA9zgSSAV53OPLxR3oF6mEMlMWQt494tud0+gXrULmBNTGKmRskC5mw1xcXFCr1SlevzZCRCCfO3duKlWqxM2bN1M8A2PgoftsueIe65IVvfxmGJS0wtdpE6oAX7Sz58f/7hnCvnwkT9O4x6alVNClsSVT/46e6MnPz4/Hjx/z4MEDHj16xMOHD3ny5AnPnj0jJOT7/l09PT2KFClCkSJFMDU1pWDBgmBcmDWvkvZZtbPkhPAw1KHBKPTifiuZ0CX5Qggh0r/169fzxx9/YGtry9atW3+p5a6aVrFiRbS0tHBzc4s1sFUoFHTu3Jk5c+bg7++PoWH8kx1Tpkxh8+bN/PXXXyxZskTTw05zb968YcSIEezZs4fatWtz4MCBWBNw/SgwMJCePXtStWpVhg8fHnnc2XEPDatU4Z/RdbFt3xGfUC0WL12OrraSwsaG6eI5/Gcgf0oZQF2z3HEGO1qZjUGp5OuVfahCAtHOlodstbqQpWrreLPPaikV1C2ROyWGrXFOTk7kz5+fokXjXm6bEqysrHB0dEzxfuwtC/HPpVdxXpPTZgS+F7bif+8c4UHf0M1dmNztJqNfqGyc98VV3Dtz5syYm5tHS8gRHh6Ou7s7jx494vHjxzx69IhHjx6xb98+Pn78iE7uIuTvuSxRnzFCmO8HFNq6KOJJbgawfctmPlmUolKlSuTKFc+stBBCiHRJrVYze/ZsJk6cSL9+/Vi+fDlaWpotnfKrMTAwoGzZsly7do0//vgj1uvs7OyYNGkShw4dSlBSqFy5cjFhwgQmTZrEoEGDMsze59DQUJYuXcqUKVMwMjJi69at2NnZJTgB1NSpU3n58iU3b96M/Lvr7u7OvXv3mDJlCgB+n73Ia2xMpULRyzeKuCnUKZ3xR6S4p55+NFx8IcXaPz28VrpY9lCtWjWKFi2aoELimrZnzx46dOjA27dvyZ8/f4r0oVKp2LhxI1POfUKrQOkElcRJKC2lghpFjdnSy1Jjbfr4+HD7/iN6HPXh+0KamIUHfIlWrzbE8wXvN40gU9Eq5G43Ke6O1Gp81vbAz+f7TLOJiQmVKlWicuXKVKpUiUqVKlGwYMFkZR0UQgiRtlQqFcOGDWPZsmVMmzaNSZMmyc91Denduzdubm7cunUrzutq1KhBjhw5EvwiPzAwEDMzM6pWrcrevXs1MNK05ezszIABA3jw4AEDBw5k+vTpZMuWLcH3X716lerVqzNjxgzGjx8feXzFihUMHToULy8vsmbNSpUqVbCwsGDVqlUp8Ckytl+3wFQGUjxPZqyL5URLqdkf8FpKBdbFcqaLoPbbt2+4ubml2jLk/7KysgK+L4dOCQ8fPqROnTr07t2bmnoe6OtqdrFFShT3zp49O0b6Ohio4q6z/OnAXD7umcoX11343TqOz+m1fNg6GoWOHtnrdI+3H9Ochvh+8uTJkyfs2rULe3t7goODWbFiBa1bt8bU1JRcuXLRsGFDxowZw86dO3n8+HGMCa+EEEL8fIKDg7Gzs+Pvv/9m1apVTJ48WYJaDbKwsODevXsEBgbGeZ29vT3Hjx/n06dPCWo3U6ZMzJo1i3///ZeLFy9qYqhp4uPHj3Tr1o1atWphaGjItWvXWLp0aaKC2uDgYHr06EHFihUZNWpUlHOOjo7UqlUrcp+4r69votoW/yOBbQYxy7Yc2hoObFMi2Ekprq6uhIeHU6tWrTTpP1++fPz2228aD2yDgoKYMmUKFSpU4P3795w5c4Zd61cwrWXcy4oTS5PFvd+8eROZEbFq1ar4Pb6MQh17EGlQohrhAV/5evUAPidXEvDIGYMSNcjXfRE6OQvG2ZcCNYV1A3jx4gVFihShQ4cOzJkzhxMnTuDp6cnr168j68kZGhpG1tUrWbIkWbJkwcrKisGDB7NhwwZu3boVuV9YCCHEz8HPz4/mzZtz4MAB9uzZQ9++fdN6SBmOhYUF4eHh8c7YdujQAYVCwe7duxPctp2dHZUrV2bkyJEpXhZS08LDw1mxYgVmZmY4OjqyZs0aXF1dY92LHJcZM2bw9OlTNm7ciI6OTuRxf39/zp49S/PmzSOPff78mezZZRlyUsge2wyiYA4DprUsw7h9dzXWpiaDnZR24cIFcuXKRcmSJdNsDNbW1jg7O2usvfPnz9O3b19evnzJ2LFjmThxYmSCjB+LeyeXJop7+/v7c+DAATZt2sTp06fR09PD1taWRYsWUaicJU2Xxf6mNot5S7KYt0xSv2oUbJ/ej81D36Crq0vx4sUpWbJklF916tShRYsWkfd4e3tz8+ZNbt68yY0bNzh16hR///03arUaXV1dypQpE7mMuXLlypQvXz5BiTKEEEJolqenJ82aNePZs2ecOHEizVZlZXRly5ZFV1eXa9euUb169Vivy5UrF40bN2bbtm0MHDgwQW0rlUrmz59P/fr1I7dtpQfXrl2jf//+XL9+nV69ejFnzpwkZ3e+efMms2fPZtKkSZQvXz7KubNnzxIcHIyNjQ3wfcn9ly9fZMY2iWSPbQaz/NxTjQQ74Tf247JmEqamphoYVcqztrYmT548abqHIyJLo4+PT7LKDnh7ezN69Gg2btxIzZo1WbNmTayZ9nZe82DKofuEqdSpXtxbpVJx4cIFNm/ezJ49e/j27RvW1tZ069aNdu3aRfkz6LL+Cq4vvBM1xvhoKRVUL5qD2Y0KRCativj1+PFj3r59G3lt/vz5owW8ZmZmmJiYoFQq+fbtG7dv344S8N6/f5/Q0FAUCgVmZmZR9uxWqlSJHDlyaOyzCCGEiOr58+c0btwYf39/Tpw4ES0gEJplaWmJmZkZmzdvjvO6HTt2YGdnx/PnzxOVrLNFixY8ePCABw8eoKcXe9nCtObj48PEiRNZvXo15cuXZ+XKlXEG+/EJCQmhatWqqNVqrl27Fq1WcL9+/Thz5gxPnz4FiAxqd+3alW5eAvxMJLDNgJIb7IyqU5A5f7RCR0cHFxeXn77+WGBgINmyZcPBwYHBgwen2TiePHmCmZkZx44do0mTJom+X61Ws23bNoYPH05YWBjz5s2jV69eKJVx7xh47RPAhP13cX7mBWoVxFGXOKImrHWxnEku7v306VO2bNnCli1bePXqFUWLFqVr16506dIl1i+51z4BNFjkRLAGy/LoaSs5Pbx2rJ/h69evPHnyJFrQ+/Tp08glxwYGBpiZmUULeosXL45SqeTBgwfcuHEjMti9ffs2AQHf9wybmppGS1KVP3/+DLnvyz84jFfe/oSEqaT0gBAixd28eZOmTZuSJUsWTpw4QZEiRdJ6SBnewIEDOXv2LA8fPozzOn9/f/LkycPYsWOZNCme5I4/ePjwIeXKlWP+/PlRytz8LFQqFZs3b2b06NEEBwczY8YMBgwYgLZ28r7rpk+fzvTp07l69Wq0JcxqtZpChQrRrl07Fi1aBHzPkFy4cGFOnjxJw4YNk9X3r0gC2wzqx2BHS6mIM8CNOP9jsPPs2TNq1qxJkSJFOHPmzE+9FPP8+fPUrVuX27dvp+kbXbVaTd68eenTpw8zZsxI1L3Pnj2jf//+nD59mo4dO7Jo0SLy5s2bqDaeevrRoN80DItXxV9pECXAiijuHeZxG48z23hxyzXKHo/4+Pr6smvXLjZv3oyrqytZsmShQ4cOdOvWjZo1ayYomNt5zUOjS+XntimXpNnm8PBwXr16FS3gffToEV5e3zMrKxQKTE1NYwx4v3z5EjmzGxHwfv78GSCypvGPAW/RokXjfTnxM3rq6ce2Kx6ce/wRD58AfvwJogAK5TCgrllu7C0LUTzPz59gTgiRPpw9e5bWrVtjZmbG0aNHpYRbKvnnn3/o2bMnvr6+ZMmSJc5ru3btytWrV3n48GGiXub279+fXbt28ezZs59q1dOdO3cYMGAAFy9exM7ODgcHB/Lly5fsdu/evUuVKlUYM2ZMjM+Ft2/fpmLFipw6dYoGDRoAcOvWLSpVqsTVq1exsLBI9hh+NRLYZnCRD6dPPuLhHfXhFLUa05yG1C2Rm87VCkXLfnz9+nXq1KmDtbU1Bw8eTFQglJqmTZvGkiVL8PLySvMAom3btnh5eeHk5JSg60NCQnBwcOCvv/4ib968rFixgqZNmyapbw8PD0xNTVm6dClDR45hy/7jlC5XPsoM2927dylfvjxbt27F3t4+zvbCwsI4ceIEmzdv5uDBg4SGhtKoUSO6detGq1atyJQpU6LGp1arqdVvJq9zVErS5/vR6EZmDKxbLNnt/Je3t3eUerwRv168eEF4eDgA2bJlizLLa2ZmRpYsWfj8+TN37tyJDHgjlkJnzpw5yhLmypUrU6pUqWS/BU4pyX0pJoQQSbVnzx46d+5MnTp1+PfffzEyMkrrIf0y7t+/T9myZTl37hx16tSJ89oTJ07QpEkT3NzcqFKlSoL78PT0pFixYvzxxx8sWLAgmSNOPj8/P6ZMmcLSpUspXrw4f//9N/Xq1dNI22FhYVSrVo3AwEBu3LgR4/LrmTNnMmfOHLy9vSOXKEdM1jx9+pRixTT/nJPRSWD7C/lxOeHA/n0xyarH7u1b4rzn9OnTNGvWDDs7OzZu3PhTLrOsX78+RkZGHDx4MK2HwqJFi5gwYQK+vr7x7iFxdXXljz/+4NGjR4wYMYIpU6Yka2Z8+/bt2Nvbs3//fmxtbXny5EmMBdGbNGnCx48fuX79eoz/PW/fvs2mTZvYvn07np6elC1blm7dumFnZ5esGr1Tp05l2rRpjFq5n0Nv9QgJC0cdR33b/9LEvuCkCgkJ4fnz5zHO8n79+hUAbW1tihYtGhnw5s+fH5VKxefPn3n06BE3b97k2bNnAOjp6VG+fPkowW65cuUS/bJA05K7jWFayzJ0TOX/NkKIjOHvv/9m8ODBdOrUiY0bN0bbiyhSVnh4OFmzZmXKlCmMHj06zmvDwsIoUKAA9vb2LFy4MFH9zJgxg+nTp/Po0aNE7dHVJLVaze7duxkxYgS+vr5MnjyZ4cOHa/Tv3Jw5c5g4cSKXLl2iatWqMV5To0YN8uXLx7///ht5bP/+/bRp04ZPnz799FsBf0Y/55SBSBGGetqUyf89oU8xY31evnwZ7z0NGjRg8+bNdOrUibx58zJnzpyUHmaihISEcOnSpUQv/U0p1tbWBAUFcf36dWrUqBHjNb6+vowfP55Vq1ZhYWGBm5sbFStWTHbfzs7OlCxZMnL/aO7cuWO8buTIkTRq1Ihz585Fvpn09PRk27ZtbN68mdu3b5MrVy7s7Ozo1q0bFStWTPYLje3btzNt2jRmzZrF+H6t6fn6Iw3Hb0C7YLkEzwrWKGqcZrOCurq6lCpVilKlSkU5rlar+fDhQ7RZ3l27duHu7h55Xe7cuTEzM6NmzZoYGhoSFhbGp0+fuHTpEuvXryc8PBwtLS1KliwZZc9uxYoVUy0zYnISz4X/fyA8bt9dvL4FM6hu9BcqQggRE7VazeTJk5kxYwbDhw/HwcEhzVdf/Yq0tLSoXLkybm5u8V6rra1Nx44d2bFjB/Pnz0dLSyvB/YwYMYKVK1cyYcIEdu7cmZwhJ8njx48ZNGgQp0+fpnXr1ixevFjjiVIfPnzIlClTGDlyZKxB7adPn7h8+TLr16+PctzX1xdAsiInkQS2vygTExMuXLiQoGs7duzIhw8fGD58OPny5WPo0KEpPLqEc3NzIzAwMM3q1/5XxYoVMTQ0xMXFJVpgq1ar2bNnD0OHDsXf359ly5bRv3//RH0hxMXFxQVra2s8PT3R1dWNdY9MgwYNKF++PPPmzcPLy4vNmzdz/PhxtLS0aNGiBX/99RdNmjTR2NLzS5cu0bNnT7p27cq4ceMAcNy5iY+7J3P62n3OuofEuFQ+Yl9wbEvlfwYKhYJ8+fKRL1++aEu3AgICePLkSZSg9/bt2zx+/JjAwEDg+8xtyZIlyZMnD/r6+gQFBXHjxg327NlDUFAQAEWLFo2WpCqx+6/js/OaR6xBrSokkK9X9hH87jEh75+gCvqGcbNhGJVvEOP1DiefkMtIL9Vn1YUQ6U9YWBgDBgxg7dq1zJ07l9GjR/+UK8N+FRYWFuzfvz9B13bu3JmlS5dy9uzZRCU5MjAwYObMmfTo0YNhw4ZRrVq1pA43UQICApg1axbz5s3DxMQER0fHKLVjNSU8PJyePXtSuHBhpk2bFut1x48fR61WR9t+9vnzZ4yMjH7a7Uo/O/lT+0UVLFiQt2/folKpEvRmdNiwYbx//55hw4aRJ08eOnbsmAqjjJ+TkxOZM2fWyIynJmhra1O9enWcnZ0ZM2ZM5HF3d3cGDBjA0aNHsbW1ZenSpZiYmGis38+fP3Pv3j1Gjx7N06dPyZMnT4wPB2q1mkuXLpEjRw5OnDjBiRMnsLS0ZNmyZfz+++8aT+bw6tUrWrdujYWFBWvWrEGhUBAYGIiDgwPdu3enVoXi1KoAUymDf3AYt1+8o279hjjMm0PP9i3SdeZdAwMDKlasGO3vpkql4vXr15FliSKC3ps3b/L+/fvI6/LkyUPOnDnR1tbm9u3bHD9+HH9/fwDy5csXLUlV4cKFk/RA+NongCmH7sd6XhXwlS8Xd6CVJRc6uYsQ7BF/ArDJh+5T47ecsudWCBGrwMBA7OzsOHz4MP/88w/dunVL6yH98szNzVm4cCFeXl7xLoM1NzenePHibNu2LdHZe7t06cKiRYsYNWoUzs7OKf4y4/DhwwwePJj3798zfvx4xo0bl2JbfxYvXsyVK1dwdnaOsw9HR0csLCyivaj+/Pkz2bNnT5Gx/QrS71OjSBYTExPCwsLw9PRMcOa3OXPm8OHDB7p27UrOnDkjM7ilJScnJ2rWrPlTvdmysrJiyZIlqFQqVCoVS5YsYfLkyeTIkYMDBw7QqlUrjfd58eLFyL5dXFyiLUN+9eoVW7ZsYfPmzTx79oyCBQtiZGRE48aNU6z279evX2nRogVGRkbs378/cs/xunXr8Pb2jpy9jWCop02pvJkJef+EfPrh6TqojYtSqcTU1BRTU1MaN24c5dyXL18ig90fg153d3dCQ0MB0NfXR61Wc+vWLS5cuMC3b9+A78uW/hvsmpmZxbsiYML+u4TFtRTcKAcmg7agZZSd4PdP+bAp/jINYSo1E/bfZUsvy3ivFUL8enx9fWnZsiVubm4cPHgwRWbOROJFZOG9fv16tO+n/1IoFNjb27NgwQJWrFiBgUHCX2RqaWnh4OBAo0aNIveUpoSXL18ydOhQDh8+TOPGjTl16lSMuUc05enTp/z5558MGTKEmjVrxnpdaGgoJ06cYMSIEdHO+fr6yjLkZJBNDL+oiNnCN2/eJPgehULBunXraNCgAba2tly/fj2lhpcgYWFhXLx4kdq1a6fpOP7L2tqaz58/s3v3bqpWrcro0aPp3bs3Dx48SJGgFr4vQ86fPz9FihTh48eP5MmTBz8/PzZu3EjdunUpUqQIc+fOpUaNGpw5c4ZXr14xadIkDh8+zIcPHzQ+nrCwMDp27Mjr169xdHSMfPMbHBzMvHnzsLOzizFpREQQplJprt5tepI1a1aqVq1K165dmTlzJv/++y/379+PXNZ86NAhpk+fTvPmzSlSpEiURBe+vr5cuXKFlStX0rlzZ8qUKYOhoSHm5ub079+ftWvXcv36dYKDgyPveerph/Mzrzj3OCu0ddAyStzb43CVGudnXjz76Jf4PwQhRIb27t07rK2tuX//PmfOnJGg9ify22+/kS1bNq5du5ag6+3t7fHz8+Pw4cOJ7qthw4Y0adKEsWPHRuYG0ZTg4GBmzpxJ6dKlI7f3HDt2LEWDWpVKRa9evcifPz8zZ86M89qLFy/y5cuXGP/uy4xt8mTMKRERr4IFCwLw+vXrRNXJ0tHRYc+ePdSvX59mzZrh6urKb7/9llLDjNPNmzf59u3bTxfYli5dGqVSiZ2dHRUqVODKlSspXovMxcUFKysrVCoVT548ITg4mDx58hAUFETdunXZtGkTbdq0iVI64Y8//uCvv/5i+fLlGk++NWrUKE6ePMnRo0ejJFzavHkzb9++Zfz48THeF7EsPqK0jvhOW1ub4sWLU7x4cVq0aBHlnJeXV5TEVY8fP+b+/fu8evWK4OBgrl+/zs2bNyNfFiiVSgoVKkSlSpUIr9gGpSI7iUiAnGBaSgVbL3swtWUZzTcuhEiXHj9+TOPGjVGpVLi4uERLyCfSlkKhwNzcPMGBbbFixbC0tGTbtm38/vvvie5v/vz5VKhQgdWrVzN48OBE3x+T06dPM3DgQF68eMHw4cOZPHlyqpSN+vvvv3F2dubcuXPxVrhwdHSM3FL0XzJjmzwyY/uLMjY2Rl9fP1EzthEMDQ1xdHQke/bsNGrUCE9PzxQYYfwuXLhApkyZElVDLaUdPHgwMoitWLEi165dS/GgNigoiKtXr+Lj44OpqSkPHz7k8+fP/Pnnn7x69YozZ87QtWvXaD/Ys2XLRu/evVm5cmXk3k1NWLlyJUuWLGHZsmU0atQo8nhYWBhz5syhbdu2sT7M/OoztkmRM2dOrKys6N27Nw4ODhw+fJgXL14QGBjIvXv32Lt3L9OnT6djx46UKlUKHR0dXr16xf79+3F7F5giQS18n7U99+RjyjQuhEh3rly5EpkZ3tXVVYLan1REtYaEsre359ixY3h7eye6r7Jly9KzZ0+mTZsWmQ04qd6+fUvHjh1p2LAhefPm5datW8ybNy9VgtoXL14wbtw4BgwYEG8NYIAjR47QrFmzGHPcyIxt8khg+4tSKBSYmJjw+vXrJN2fM2dOTpw4QWBgIM2aNcPPL/WXHDo5OVGjRo2fotbd27dvadOmDa1bt6Z8+fL06NEDb2/vFN376+3tzfLly6lUqRKhoaFcvXqVli1bkilTJiZOnMiECRMoVCjuzLRDhw7F19eXf/75RyNjOnXqFIMHD2bIkCH0798/yrmdO3fy4sULJk6cGOv9MmOrOXp6epQpU4a2bdsyceJEduzYwYMHDwgMDOTt27c4njiNTvaE7a9PKg/vAPyDw1K0DyHEz+/48ePUq1ePkiVL4uzsrNHkiUKzLCwsePfuHe/evUvQ9b///ntk1YekmD59OoGBgcyePTtJ94eGhrJw4UJKlizJuXPn2Lx5M+fPn6dMmdRZLaRSqejduze5cuVKUEnM58+f8+jRI2xsbGI8LzO2ySOB7S/MxMQkSTO2EUxNTTl+/DjPnz/H1tY2yt69lBYeHo6zs3Oal/kJDw9n+fLllCpVikuXLrFr1y4cHR2xsbHBw8MDDw8PjfYXEhLCgQMHsLW1JV++fAwfPhyFQoG+vj7v37/HwcGBwMBA8uTJk6D2ChcuTPv27Vm0aFGyg8mHDx/Svn17GjVqxIIFC6KcU6lUzJw5ExsbmzgzWMuMbcpTKBTkz5+fwmXN+V5UKeWogVfemlsNIIRIf7Zs2UKLFi2oX78+J0+e1Hj2faFZ5ubmAAlejpw7d24aNWrE1q1bk9Rfvnz5GD16NEuWLOHVq1eJutfFxYUqVaowevRounXrxuPHj+nSpUuqloxas2YN586dY+3atWTOHH9ZwiNHjqCrqxtrAlaZsU0eCWx/YQULFkzyjG2E8uXLc/DgQVxcXOjWrVuqBST37t3D19c3TffX3r59mxo1ajB48GDs7Ox4+PAhHTp0QKFQRGbDc3FxSXY/arUaNzc3Bg8eTP78+bG1tcXd3Z358+fz9u1bChcuTO3atTEwMODjx+9LPxMa2AKMHDmS58+fc/DgwSSP0cvLCxsbG0xMTNi5c2e0mep9+/bx6NGjOGdrQWZsU1NIWOr8W02tfoQQP58FCxbQtWtXunbtyr59+xKVOVekDRMTE/LkyZPo5cgXL15MdGAaYdSoUWTPnj3eZ4QIHz9+pEePHlhbW5MpUyauXr3K8uXLU32m08PDIzJBaEJLHjk6OlKnTp1Yl0jLjG3ySGD7C0vujG2E2rVrs23bNnbv3s2IESNQq1No094PnJyc0NXVxdIy9cuJ+Pv7M2bMGKpUqYK/vz8XL15k1apVUX4Q5cqVK3LJVVK9ffuWuXPnUrZsWSwsLNi7dy89evTgzp073Lhxg6FDh2JsbIyrqyvW1tYAkYHtf8v9xMXCwoJatWpFm2VNqODgYNq0aYOfnx+Ojo5kyZIlynm1Ws2MGTNo0KBBvIXYIwJbmbFNebraqfPjP7X6EUL8PFQqFaNHj2bUqFFMmDCBdevW/VRl+UTsEptACqBVq1YYGBiwffv2JPVpZGTEX3/9xfbt2+MMqMPDw1m1ahVmZmYcPHiQ1atXc+nSpTTJtaJWq+nTpw/ZsmXDwcEhQff4+fnh5OQUaybw4OBgAgMDZcY2GeSJ4xdWsGBB3r59q5Egom3btqxYsYIlS5Ywb948DYwubhcuXMDS0hJ9ff0U7+tHx48fp2zZsixdupTp06dz48YNatSoEeO1ETVlEyMgIIBt27bRuHFjChUqxNSpUylfvjzHjh3j9evXzJ8/n3LlykVef//+fb58+YKVlRVAZCKvxAS28P1tqaurK66urom6T61W07dvX65evcqBAwcoXLhwtGuOHDnC7du3+fPPPxPUplKplBnbVFDY2DCFFyJ/X+hc2Dju7JBCiIwlNDSU7t27s2DBApYsWcLMmTNTdWmoSL6IBFIJnagwMjKidevWbN26NfIe/+Aw7r/7wk2Pz9x/9yXefAs9evSgbNmyjBo1KsZ+3dzcqFatGv3796dNmzY8fvyYP/74I8YETKlh48aNnDx5kjVr1pA1a9YE3XP69GlCQkJiDWwjEmhJYJt08vrsF2ZiYkJYWBienp7ky5f8JDL9+vXj/fv3jBs3jrx589KtWzcNjDI6tVrNhQsX6Nu3b4q0HxNPT0+GDRvGzp07qV+/PqdOnaJYsWJx3mNtbc26devw8fGJc0+RSqXC2dmZTZs2sWfPHr59+4a1tTWrV6+mffv2cf7AdHZ2RkdHh6pVqwL/m7HNlStXoj5f8+bNMTMzY8GCBbEG6jGZO3cumzZtYtu2bTHeFzFba2VlleD90FpaWjJjmwoM9bQplMMAd5+AeK/9ev0wqiB/wr/5ABD47Cphfl4AZKnSAqV+zMFrIWMDDPXka0aIX4W/vz/t27fn9OnTbN++nY4dO6b1kEQSWFhY4O3tzatXryhSpEiC7uncuTN7TjgzaIMT93zUePgE8GN4qgAK5TCgrllu7C0LUTxP1P2oWlpazJs3j2bNmnH48GFatmwJfN9zOnHiRFatWkW5cuVwcXGJ3O6VVt6+fcuIESPo1q0bTZs2TfB9R44coWTJkrGWyfz8+TOALEVOBnni+IVF1LJ98+aNRgJbgKlTp/Lhwwd69epFrly5aNasmUba/dHDhw/59OlTqiSOUqlUrF+/njFjxqCtrc3mzZvp3Llzgt4+R8yiurq6xpj97tmzZ2zevJktW7ZEfnmMHDmSLl26JLg2sIuLC+bm5mTKlAn4HoAbGxsnesmXUqlkxIgR9OvXj+fPnyeo/3379jF+/HgmT56MnZ1djNecOXOGK1eucOzYsQS/sVcqlRLYppK6ZrnZcvkV4fG8lP96ZT/hX/9XuifgiSs8+T67b1SmboyBrZZSQd0SiVs5IIRIv7y8vGjevDkPHjzg6NGjsSbHET+/HxNIJSSwfe0TwNa32cnfZyVHn/qhVkSfRVUD7j4BbLnizj+XXmFdLCezbMtRMMf/9l03adKEBg0aMGbMGJo0acKOHTsYPXo0QUFBLFy4kEGDBqX5kvaIlWqZMmVi0aJFCb5PpVJx5MgROnfuHOs1MmObfBLY/sIi0u2/fv1aY7VWFQoFf//9N56enrRv354zZ87Eu68ysS5cuIC2tnaiZhaT4sGDB/Tt2xcXFxd69OjB/PnzMTY2TvD9RYoUIX/+/Dg7O0cGtr6+vuzevZtNmzbh6upK5syZ6dChA926dcPKyipRy7XUajXOzs5RgsqPHz8mKnHUj7p06cKff/7JokWLWL58eZzXXr9+nc6dO/P7778zderUWK+bOXMmVapUoXHjxgkehyxFTj0mwfEHtQAmAzYkuu1wlZrO1eIuNyWEyBjc3d1p3LgxPj4+nD9//qeqLy8SL3fu3BQqVAg3Nzc6dOgQ57U7r3kw5dB9wv6/KHpMQe2Pwv//OtcX3jRY5MS0lmXoaPH9u0KhUDB//nwqVapE6dKlef78OR07dmTBggXkz59fA58s+bZt28aRI0c4cOBAogLQmzdv8uHDh1iXIYPM2GqC7LH9hRkbG6Ovr6+RBFI/0tbWZseOHVSuXJnmzZvz6NEjjbbv5OSEubk5hoYps3cvKCiISZMmUbFiRT5+/Mi5c+fYsGFDooJa+P4D2srKCmdnZ44ePcrvv/9O3rx56d+/P1myZGH79u18+PCBdevWYW1tneg9SO7u7rx9+zZyZhi+B7aJ3V8bIVOmTAwcOJCNGzfGWWj97du3tGzZknLlyrFx48ZYx+3i4sL58+f5888/E/XZZClyynN3d8fW1pY+HWzQ+/wSVJp9kaClVGBdLCfFcsdf+kAIkb7dvXuXGjVqEBISwsWLFyWozSAsLCziTSC1/NxTxu27S3CYKjJgTahwlZrgMBXj9t1l+bmnwPfkSlu3bkWhUPDq1SsOHjzIjh07fpqg9sOHDwwZMoROnTrRqlWrRN3r6OhI1qxZ41xGLTO2ySeB7S9MoVBgYmKS7JI/McmUKROHDh0iX758NG7cmLdv32qkXbVajZOTU4otQz579izly5dn7ty5jB8/ntu3b1OnTp0ktXXnzh0+ffrEpUuXaN68Offv3+evv/7i9evXHDt2jE6dOiWr9EFEYqoff0h6enomObAFGDBgACqVilWrVsV43t/fnxYtWqClpcXBgwcjl0DHZObMmZQtWzZyn0xCyYxtygkJCWHOnDmUKlWKq1evMnnyZD6f+Bu1hgNbbaWCWbbl4r9QCJGuOTs7Y21tTa5cuXB1daV48eJpPSShIebm5ly/fj3WF807r3ngcPJJtOOhPm/5dHAub/7uhodDW96u6Yevyw5UoUGx9uVw8gmjV+6jZMmSrFixgjFjxqCjo8OVK1c09nmSS61WM2DAAHR0dFi6dGmi7z9y5AiNGzdGR0cn1ms+f/6Mtra2lMVKBglsf3GaKvkTk+zZs3P8+HHUajVNmjSJfBOVHM+fP+f9+/car1/r5eVF9+7dqV+/Pnnz5uX27dtMmzYt0VmXPT09WbRoERUrVqRChQrcvHkTgLVr13L37l1Gjx6tsTePLi4ulC5dOspMcnKWIsP3pFPdunVj2bJlBAVF/RJSqVR07tyZp0+f4ujoSN68eWNtx83NjePHjzNx4sREZyyUGduUcfbsWSpUqMCff/5Jv379GDRoEDNnzqT8bwWY1NRMo31Nb1kmyr4pIUTGc/DgQRo1akSlSpVwcnKK8ztBpD8WFhb4+fnx5En04PW1TwBTDt2Pdjzs6yc+bBpB8NvHZK5sQ/YGfdArUJIvLtvwOjg/9s7UanY9h/I16vHgwQPmzJnDyJEjWbhwYYpMviTF7t272b9/P3///Tc5c+ZM1L0fPnzg2rVrMeZb+ZGvry/Zs2eXLOLJIIHtL65gwYIp+kPDxMSEEydO8O7dO1q1ahUtWEosJycnlEqlxjLiqdVqNm/eTMmSJTl48CBr167l/PnzlCpVKsFtBAUFsWfPHmxsbChQoADjxo2jWLFiHDx4kPfv35MlSxY8PT01/oPK2dk5yjJkSP6MLcDw4cP5+PFjtHp0EyZMiFwWVL58+TjbmDlzJsWLF6d9+/aJ7l9mbDXr/fv32NvbU79+fYyNjbl48SIfPnxgwoQJjBgxguPHj9O7XmlGNSqhkf5GNzLjdwvZWytERrZu3TratGmDjY0Nx44dS3C5E5F+RCwpj2k58oT9dyP31P7I/945VMH+5G4/hazV25O5YhNyNh+GYdl6BD67QnjQt5g7UyjQ1tElZ5NBkWUDx44dS5YsWRJcKjAlffr0iUGDBtGuXTvatWuX6PuPHj2KQqGIN4Py58+fZX9tMklg+4tLyRnbCKVKlcLR0ZFr165hb2+frKDlwoULVKxYUSNfok+fPqVBgwZ069aNxo0b8+jRI3r37p2gGUa1Ws2lS5fo168f+fLlo0OHDnh5ebF06VLev3/P3r17admyJfr6+tSoUSPR9Wzj4+3tzYMHD7C2to48Fh4ejpeXV7JmbAHMzMxo0aIFCxYsiKwlt3HjRubOncuCBQvifeN49+5dDhw4wIQJE9DS0kp0/zJjqxlhYWEsXbqUkiVLcvLkSTZu3MjGjRv5448/OHToELt27WLevHmRGSYH1S3OnDbl0NNWoqVM3EsYLaUCPW0lc9uUY2DduMtgCSHSr4gSbn369KFfv37s3Lkz1evJi9SRLVs2ihcvHi2wferph/Mzrxj31KpCvpeP0zLMFuW4llEOUChRKGPPWatCgfMzL5599AMgc+bMTJs2jS1btkSufksrgwcPRq1Wx5tYMzZHjhyhWrVq8c70RszYiqSTwPYXV7BgQd6+fZviM2TVq1dn9+7dHDx4kIEDBya46Pd/OTk5JXsZckhICDNmzKBcuXK8fPmS48ePs23btgQFhO7u7syYMQMzMzNq1KjBkSNH6N+/Pw8fPuTy5csMGDAgWs1aa2trXF1dNfpn7Or6vdTKjzO23t7eqNXqZM/YAowaNYoHDx5w/PhxnJyc6Nu3L3/88QfDhg2L995Zs2ZhamqKvb19kvqWGdvku3z5MhYWFgwbNgw7OzseP35M3rx5qVq1KgEBAVy+fDnGTJcdLQpxenhtahT9vrw9vgA34nyNosacHl5bZmqFyMDCw8MZPHgwkyZNYvr06SxfvjxJLy9F+mFhYYGbm1uUY9uueMT63aBf6HtuBe+jSwnxfEHY10/4P7yA382jZK7SAqVu3C9BtJQKtl72iPx97969MTMzY9SoUUl+bkyu/fv3s2vXLpYuXZqkiYPg4GBOnjwZ76QAyIytJkhg+4szMTEhLCyMjx8/xn9xMtnY2LB27VpWr17N9OnTE32/u7s77u7uyUoc5eLiQqVKlZg6dSrDhg3j3r178Zai8fPz459//qFu3boULlyYOXPmUL16dU6fPo27uzuzZs2iZMmSsd5vZWXF169fuXv3bpLH/V/Ozs4UKFAAU1PTyGOenp4AGglsrayssLCwYPr06bRp0wZra2uWL18e73LqJ0+esGvXLsaOHRtngoS4yIxt0nl5edG7d2+qV6+OlpYWV65c4e+//2blypU0a9aMmjVrcu3aNcqWLRtrGwVzGLCllyWnhtWii6UppsYG/Pe/ugIwNTagi6Upp4fXYksvS9lTK0QGFhwcTKdOnVi5ciVr1qxh0qRJsg/wF2BhYcHNmzcJDQ2NPHbu8cdYMyBnKlqFrNadCXp1i/cbh/B2RQ+8Ds4jc5UW5GjQJ97+wlVqzj353/OotrY28+fP5+zZsxw7diz5HyiRvL296d+/Py1btqRTp05JasPZ2Zlv377FWeYnwufPn2XGNpmkju0vrmDBgsD3Wrb58uVL8f569OjB+/fvmThxInnz5qVv376xXusfHMYrb39CwlToaiu5dP4CQJTltwn1+fNnxo0bx5o1a7C0tOTGjRtx7hMNDw/n3LlzbNq0iX379hEYGEjdunX5559/aNu2LUZGRgnuu2rVqujq6uLs7EzFihUTPfaYuLi4RCsRFPFyIrlLkeF7xux+/frRq1cvTE1N2bt3b4IC1Tlz5pA3b1569OiR5L5lxjbxVCoVGzZsYOzYsYSHh/P333/Tt29f/P39adu2LQcOHGDKlClMnjw5wcm8iufJzNSWZZhKmWj/FgsbG2KoJ18fQvwKvn79iq2tLRcvXuTff/+ldevWaT0kkUrMzc0JCgri/v37VKxYkW/BYXj4BMR5j3bWPOgVLIOBWQ20MmUh4Pk1vrruRsswG1mqtIi3Tw/vAPyDwyK/Y5o3b06dOnUYPXo0jRo1itw+kxqGDRtGcHAwq1atSvKLHEdHR0xMTOLNTQLflyJLZvHkkSeTX5yJiQkAb968oWrVqqnS5/jx4/nw4QMDBgwgT548Ub4kn3r6se2KB+cef8TDJ4Ao7wTV2Sk8eBPLLn7A3lKX4nnir5GpVqvZtWsXw4YNIzAwMPKBP7blUw8fPmTz5s1s3bqVN2/eUKJECSZOnEjnzp0pVChpyyz19fUxNzfHxcWFwYMHJ6mNHwUGBuLm5hZtqa8mZ2xDQ0PZtm0bSqWS8uXLJ+gN4qtXr9iyZQvz5s1L1p4rmbFNnJs3bzJgwAAuX75M165dmTdvHnny5OHRo0fY2try7t07Dh06RIsW8T9QxMZQT5sy+SU5jBC/mg8fPtCsWTNevHjByZMnU6zUnvg5VapUCaVSiZubGxUrVsTd25+4FgT7P3DC5/hy8v+xGu0s3/eTGpjVALUa3/P/YFi6NlqZssTZpxp45e0f+Z2jUChwcHDA3NycDRs28Mcff2jo08XN0dGRrVu38s8//yR54ketVuPo6Ejz5s0TFBjLjG3yyVLkX5yxsTH6+vopnkDqRwqFgsWLF9OuXTs6duyIs7Mzr30C6LL+Cg0XX2DLFXfc/xvUfr8RtaExW66403DxBbqsv8LrON4cvnz5kmbNmtGpUyesrKx4+PAhAwYMiBbUent78/fff1O1alVKly7N6tWradGiBZcuXeLRo0dMmDAhyUFtBGtra5ydnTWyR+Tq1auEhoZGy4j88eNHDAwMEjWbHBO1Ws2gQYNwdnZmwIABHD16NEGZs+fNm0e2bNmS/aWjVColsE2AL1++MHToUMzNzfHz88PJyYlNmzaRJ08eDhw4QNWqVVEqlVy7di1ZQa0Q4tf07NkzatasyYcPH3B2dpag9hdkaGhImTJlIhNIhYTF/d3sd+MounmKRga1EQyKVUUdGkyI54sE9fvffqpUqULnzp2ZPHkyfn5+ifgESePr60vfvn1p2rQpXbt2TXI7T5484fnz5wnaXxvRr+yxTR4JbH9xCoUCExOTVK8TplQq2bx5MzVr1qTtmIXUX3ge1xfeALHu3YgQcd71hTcNFjmx85pHlPOhoaHMnz+fMmXKcP/+fQ4dOsTevXuj1I8NCQnh4MGDtGnThnz58jF06FDy5s3L3r17ef/+PStWrKBatWoa20NkZWXF+/fvefnyZbLbcnFxIWvWrNH2SWqi1A/AkiVLWLNmDatXr2bWrFlkzpw53mLk7969Y/369YwYMQJDQ8Nk9S9LkeOmVqvZvn07JUuWZP369cydO5ebN29Sq1YtwsPDmThxIra2tjRu3JjLly9TooRmyvgIIX4dN27coGbNmmhra+Pq6kq5cuXSekgijZibm0cGtrracYcN4QG+qNXRg1+16v+/01UJ+26PqZ+ZM2fi6+uLg4NDgtpIjpEjR+Ln58fq1auT9Rx45MgR9PX1qVevXrzXqlQqyYqsARLYCgoWLJiqM7YR9PT0aDpqCQZ1ehMcpoo3oP2vcJWa4DAV4/bdZfm5p8D32UwLCwvGjRtH3759efDgQeRslVqtxs3NjSFDhlCgQAFat27Nq1evmD9/fuRyzbZt26Knp6fxzxpRd1cTZX+cnZ2pUaNGtJnnjx8/JjuwdXR0ZMSIEYwZM4YePXqQOXNm+vbty5o1a/j69Wus9zk4OGBgYMDAgQOT1T/IUuS4PHz4kPr162Nvb4+VlRWPHj1i1KhR6Ojo4OPjg42NDXPmzGHu3Lns3r2bzJnjX64vhBA/OnPmDLVr16Zw4cK4uLhE1hUVvyYLCwvu3r1LUFAQhY0NoyUT/JFO9vyEeD4n1OdtlOP+D5xAoUQnV+F4+1MAhY2jvyAvVKgQw4cPZ/78+bx9+zb6jRpy4sQJNmzYwIIFCyLz0CSVo6Mj9erVw8Ag/uSKfn5+qNVqCWyTSQJbkSYztgA7r3mw/II7QJQ3YiGf3Pm0fzZvV/bCw6Etr5fY8WHrWAKeXom1LYeTT2g1Yi7VqlVDS0uLq1evsmjRIoyMjHj79i3z5s2jbNmyWFhYsGfPHrp3786dO3e4ceMGQ4cO1chMZ1yyZ89O2bJlcXZ2TlY74eHhuLq6RluGDN8D2+Qkjrpz5w6dOnWiVatWzJ49O/L44MGDCQwMZN26dTHe9+nTJ1atWsWQIUPIkiXuvTMJITO20fn7+zNu3DjKly/P69evOX78OHv27IncI3/79m0sLCy4evUqx48fZ8yYMZKxVAiRaLt376Zp06bUrFmTM2fOkCtXrrQekkhj5ubmhIWFcfv2bQz1tCkURwb8LJZtQaXiw9ax+F7cgd+NI3junkLg08sYlW+AdmbjePsrZGwQa3LCcePGYWhoyOTJk5P8eeLy9etX+vTpQ4MGDejdu3ey2vry5QvOzs4JyoYM3/fXArIUOZkksBWYmJik+ozta58Aphy6H+O58K8fUYUEYliuPtkb9CFrjd8B+PTvX/jdOh7jPWq1mltaJZg8bwlXrlyhVKlSbNu2jcaNG1OoUCGmTJlC+fLlOXbsGK9fv2b+/PmpvrTK2to62TO2d+/exc/PL8bM0MlZivzhwwdatGhB8eLF2bp1a5TMuQUKFKBTp04sXrw4Ssr/CIsWLUJLS4shQ4Ykqe//khnb/1Gr1Rw4cIDSpUuzePFiJk2axN27d6OUqNq+fTvVq1cna9asXL9+nYYNG6bhiIUQ6dWyZcvo2LEjv//+O4cOHUp2vgaRMZQvXx4dHZ3IerZ1zXLHUce2LHm7zEc37298u3EUn9NrCfP9QLZaXcnROP4VXVpKBXVLxP4ckzVrVqZMmcLGjRu5c+dO0j5QHMaMGYOPjw9r165N9svhkydPEhYWluDA1tfXF0BmbJNJAltBwYIFefv2barOkk3Yf5ew2Oqg/WZBnt+nk83KjswVm5DFohV57Gahk7sIX68eiPEehUKBto4u1yhO3759yZs3L507dyYgIIDVq1fz4cMHduzYQZMmTVI1VfyPIpaOfvr0KcltODs7o6uri4WFRbRzSZ2xDQwMpHXr1oSGhnLo0KEY98iOHDmS169fs3fv3ijHP3/+zPLly+nfvz/GxvG/iU0ImbH97sWLF9jY2GBra0vZsmW5f/8+kydPjsw4HRoayvDhw7G3t6ddu3ZcvHhRlgwKIRJNrVbz559/MmTIEIYPH86mTZvQ1dVN62GJn4Senh4VKlSI3Gdrb1kozq1jevnNyNNhGiaDt2A65gAF/lhN1hodUChjrkbxo3CVms7V4k7W2bdvX4oVK8aYMWMS90HicfbsWVavXs28efM08l165MgRypYti6mpaYKulxlbzZDAVmBiYkJYWFhkHdSU9tTTD+dnXonaU6tQaqGdOSeq4G+xXhOuhvve4Zx1e8CIESN49uwZzs7O9O7dm6xZ075UScQs68WLF5PchouLC+bm5tHK6ajV6iTN2KrVanr06MGdO3c4dOhQ5NLW/ypfvjwNGzbEwcEhSmbn5cuXExoayogRIxL/YWLxq8/YBgUF8ddff1GmTBnu3r3Lvn37cHR05Lfffou85uPHjzRs2JDly5ezdOlSNm3aRKZMmdJw1EKI9CgsLIw+ffowc+ZM5s+fz4IFCxJc61r8On5MIFU8T2bK5dT+X0IoDdFSgHWxnBTLHXduCB0dHebNm8eJEyc4ceKERvr+9u0bvXv3pnbt2vTr1y/Z7YWHh3P06NEEZ0MGmbHVFPnpJSI3x6fWPtttVzxiXcbyI1VIEOEBXwj9/J6vVw8Q+OI6+qYV4rxHqYCuf61l6tSpUQKBn0HBggUpVKhQkvfZqtVqXFxcYlyG/O3bN4KCghId2E6bNo1du3axZcsWzM3N47x21KhR3Lhxg/PnzwPfEx0sXryYPn36kDdv3kT1G5dfecb2xIkTlCtXjunTpzN06FAePnyIra1tlCVRV69epUqVKjx69IizZ88yePBg2U8rhEi0wMBA2rZtyz///MOmTZsYNWpUWg9J/KQsLCx4+PAhX79+Zd68eZyc1QNFDNmPk0qtVhMeFop9iYSFJa1atcLa2prRo0dr5HlhwoQJfPjwgXXr1mnkxc61a9f49OlTogLbiBnbn2EiJj2TwFZEztKl1j7bc48/Jmi29vPZdbxZas+71X34fG4DBiWqk6NR/zjvUanh/JOkL/VNacnZZ/vy5UvevXsXa+IoIFFLkbdv3860adOYNWsWbdu2jff6hg0bUq5cORYsWADAqlWr8PPzY/To0QnuMyF+xRnbN2/e0L59e5o0aYKJiQm3b99mzpw50ZaFr1+/Hmtra0xMTLh+/XqMLzmEECI+nz9/plGjRpw+fZpDhw4lq1anyPgsLCxQq9U0atSIsWPHMuKPbsxsE/dEQ2IoFAoMHjjSqoEVixYtivcZQKFQ4ODgwN27d9m0aVOy+nZ2dmbZsmXMmjWLYsWKJautCEeOHCFHjhxUq1Ytwff4+vqSOXPmNNsul1FIYCswNjZGX18/VWZsvwWH4eETkKBrs1i0InfHGRg3H06molW+10YLj5686L88vAPwDw5L7lBThJWVFTdu3MDf3z/R90YExDVq1Ih2ztPTEyDBM7aXLl2iZ8+edO3alXHjxiXoHoVCwciRIzly5Ag3b97EwcGB7t27Jzsd/n/9SjO2oaGhODg4ULJkSZydndm2bRtnz56ldOnSUa4LDg6mX79+9O7dmx49enD+/HkKFCiQRqMWQqRnb968wdramgcPHnDmzBmaNWuW1kMSPzlvb2/gewLLo0ePMnv2bOyrFWFUo+TVSY/Y2jS6kRk3//2bgQMHMmLECJo3bx75XBObqlWr0rFjR/78888kPVMBBAQE0LNnT2rUqMHgwYOT1EZMHB0dadq0abSyjHH5/Pmz7K/VAAlsBQqFItUyI7t7+5PQnbU6xgXJVLgiRuXqk7v9FNQhQXzcOz3KHs+YqIFX3kn7IZfSrK2tCQsL48qV2EsXxcbFxYWyZcuSI0eOaOcSM2P76tUrWrdujYWFBWvWrEnUMtZOnTqRP39+Bg4ciLe3d4KD4sT4VWZsnZ2dqVSpEmPHjqVnz548fvwYOzu7aP893r59S506ddi4cSPr1q1j1apVKVJrWQiR8T18+JAaNWrw9etXLl68mKgZJfHrUalUzJkzhwYNGpAlSxYaNGhA06ZNI88PqlucOW3KoaetTNAWsx8pUaMOC8Hn+DJKqT3Q09Nj4cKFHDt2jBs3blC+fHmOH4+5EkaEWbNm4e3tzcKFC6Od8w8O4/67L9z0+Mz9d19inPCYNGkSr1+/ZsOGDYkKQuPy9u1bbt26leBsyBF8fX1lf60GyHy3AL7v/0yNGduQsKQHLAYla+JzfDlhPm/RMY45yZEm+klJpUqVInv27Dg7O1OvXr1E3evs7EydOnViPOfp6YlSqYwx6P3R169fadGiBUZGRuzfvz/RAZKuri79+/dn0qRJtGvXjqJFiybq/oRQKpUZOrD9+PEjo0ePZvPmzVhaWuLm5kalSpVivNbZ2Zn27dujo6ODs7MzVatWTeXRCiEyisuXL9O8eXPy5cvH8ePHY00WKAR8r1HftWtXjh8/zvjx4/H39+fIkSPRrutoUYiav+Vkwv67OD/zQkupiHO7WcT5msVyob66nR13TtG6tStubm6UKFGCJk2acOfOHbp3707Tpk0ZPnw4s2fPjvF5pUiRIgwZMoS5c+fSp08f/BSGbLviwbnHH/HwCYgykaIACuUwoK5ZbuwtC+H98j6LFi1izpw5mJmZaeBP7LsjR46gpaUVpSxfQsiMrWbIjK0AUq+Wra520v/KqUODAVAFxz8bm5x+UpJSqcTKyirR+2w/ffrEo0ePYtxfC9+DpZw5c8b5xjEsLIyOHTvy+vVrHB0dyZkzZ6LGECGitmFS749PRl2KHB4ezooVKzAzM8PR0ZE1a9bg6uoaY1CrVqtZtmwZ9erVo2TJkly/fl2CWiFEkh09epR69epRqlQpnJ2dJagVcYpYUeTm5saxY8eYNWsWVatW5fnz5/j4+ES7vmAOA7b0suTUsFp0sTTF1NiA/87fqtVqsmuH0cXSlNPDa7GllyXrlsylTJkyBAUF0axZs8i28+TJw5EjR1i0aBF///031apV49GjRzGOdcKECejnLEDz+cdouPgCW6644/6foBa+r+Zz9wlgyxV3Gi6+gN1aVypZNdBoVQf4HtjWqFEj3omG/5IZW834OZ/+RaorWLBgqgS2hY0No/2w+69wf99ox9ThYfjfO4tCWw+dnHHXOFP8fz8/KysrKy5dukRYWML3Abu6ugLEmiwoITVsR40axcmTJ9m9ezelSpVK+IB/EBYWxrJlyyhWrBi7d+8mICBh+6UTIyMuRb527RqWlpYMHDiQtm3b8vjxY/r06RNj9sXAwEC6devGkCFDGDRoEKdOnUp0tmshhIiwefNmWrZsScOGDTl16pQ8PItYqVQqZs+eTd26dSlatCi3bt2iSZMmwPcEUgDXr1+P9f7ieTIztWUZnEbV5d7UxtjqPyL48AyODLYij/NcSj3fxdSWZSJL+ujr60euHnv9+jXt27cnNPR7LhWlUsmwYcO4fPkygYGBVKlShXXr1kXbjnbimR9ZOzngpfU9kIwvOWnE+fCcxfCrNYy9N98l4U8qZkFBQZw+fTpR2ZAjyIytZkhgK4DvM7Zv375N8ZkyQz1tCuUwiPMa7+PL8dwxAV+X7fjdPoHvxZ282zCIEM/nZKvVGaVu3PU6C+UwwFDv511lb21tjb+/P7du3UrwPc7OzpHlgmISXw3blStXsmTJEpYtW0ajRo0SO+RIO3fu5MWLFyxevBhfX1/++eefJLcVm4w0Y/v582f69++PpaUlYWFhuLq6sm7dulhnu1+9ekXNmjXZu3cv27ZtY9GiRejo6KTyqIUQGcX8+fPp1q0b3bt3599//5V61yJWnz59olmzZkycOJFx48Zx9uzZKEkKixUrRtasWSPr2cbHUE8b06xa+L26S5n8WalnXZPz589HC0x/++03Nm/eTEhICE5OTgwaNCjKNZUqVeL69evY29vTp08fOnToEFkaZ/m5p4zbd5dwlCi0Evfcp1BqERKuZty+uyw/9zRR98bm/PnzBAQEJHp/LXx/XpCXTsknga0Avs/YhoWFRSYhSkl1zXLHmWTAsJQ1KJT43TyKz4kV+F07gHbmnORqO4ksVW3jbFutCueV6xEcHBwif/D9bKpUqYK+vn6i6tm6uLjEugwZ4p6xPXXqFIMHD2bIkCH07x93uaS4qFQqZs6ciY2NDc2bN6ddu3YsWrRI40FoRpixVavV/PPPP5iZmbFt2zYWL16Mm5sb1atXj/WeU6dOYW5ujq+vL5cuXcLOzi4VRyyEyEhUKhUjR45kzJgxTJw4kbVr10oZERGrCxcuULFiRW7cuMHx48eZMWNGtL8vSqWSKlWqJDiwhe9blwICAlCpVNSuXZv379/z9Gn0INLW1pYRI0agVqtZs2YNS5YsiXLe0NCQNWvWsGfPHk6fPk2FChX4a/sZHE4+SdoH/g+Hk0/Ydc0j2e04OjpSuHDhaJUNEsLX11dmbDVAAlsB/K+WbWokkLK3LBTnUhHD0rXJ03EGBQdvxXTMQQoO20mejjMwKG4Zb9sKpRafrx1i3LhxFChQgAEDBsS6LyOt6OrqYmlpmeB9tgEBAfHWLI1txvbhw4e0b9+eRo0aRdafTap9+/bx6NEjJk6cCMDIkSN59uwZhw4dSla7/5XeZ2zv3r1LrVq16NGjBw0aNODx48cMGTIk1odKtVrN3LlzadKkCebm5ri5uVGhgubqAwohfi0hISF07dqVRYsWsXTpUmbMmJGo7Pfi1xHxwrpu3boUL16cW7duxbmqy8LCAjc3twS3b2hoiFqtJjAwkJo1a6KlpcX58+djvHbOnDlUq1YNIyOjyNKC/9WuXTvu3LmDScmKrL3xBWKps6EOC+XzuY28Wd4VD4c2vN80gsCXN+Mc6+RD93mdwHKUMfapVnPkyBGaN2+epH9vMmOrGRLYCuB/gW1q7LMtnicz1sVyJjo1fHy0lAoq589Ec+sqhIeHo6+vz9atWylVqhRNmzblxIkT8ZYKSi1WVlY4OzsnaDxXrlwhLCws0TO2Xl5e2NjYYGJiws6dO5P1tl6tVjNjxgwaNGgQWR6iatWqWFtbJztg/q/0OmPr5+fHyJEjqVSpEp8+feLMmTNs376dfPnyxXlPhw4dGDduHOPHj48s6i6EEEnx7ds3WrZsye7du9m5c6dGa3OKjOXjx480bdqUSZMmMWHCBE6fPk3+/PnjvMfc3Jw3b97w4cOHBPURkWzy27dvZMmShSpVqsQa2Oro6LBr1y709PQwNjamY8eO3L17N9p1BQsWpGiHCWjp6EIsWVu8jizi67UDGJauQ/YGf6BQKvm4ZypBr+/HOtYwlZoJ+6P3l1APHjzg1atXSdpfGxQURFBQkAS2GiCBrQDA2NgYfX39VJmxBZhlWw5tDQe22koFS+yrsWPHDm7fvk2tWrXw8/Mjf/78PHr0iCZNmlC6dGlWrlyZ5GLemmJtbc2nT59iXJLzXy4uLmTLlo0yZcrEeD40NBQfH58oM7bBwcG0adMGPz8/HB0dyZIlS7LGe+TIEW7fvs2ff/4Z5fjIkSO5ePEily9fTlb7P0pvM7ZqtZrdu3dTsmRJVq5cyV9//cWdO3fiLef05MkTqlWrxokTJ9i3bx8zZszQWB09IUT6lZD6mzH59OkT9erV4+LFixw7dowOHTqk8EhFeuXk5ETFihW5efMmJ06c4K+//krQy++IBFIJnbX9MbAFqFOnToz7bCOYmJiwY8cOPn36hJGRES1atIi2Re7/2DvrsKjWtQ/fMyCNCraCXZioILZiK+oWCxUTu7A7sBNr291iJ6hYiIrdgIGKioKiEqL0zKzvDz7miMAwwOjWvdd9XVznuN5cbGbW+r1PPQ/9ytWXYQjpiNr4kGfEPLlM7oa9MWnshLFlSwp0m492zvxEXtqW7l7lCoErLz7z4uNXte7tRzw8PDAwMEi3LKMqIiMjAURXZA0gClsRACQSyS8r+QNJqeFntUtbqGWVcbZFMf//xFRVqlTh2LFj3Lp1i8qVK/P69WvKlCmDiYkJw4YNw8zMjAkTJhAUlP2YiqxQu3ZtpFKpWnG2V69epW7dumlm0IWklxlAKWwFQWDQoEHcunWLY8eOUbx48WztNdlaW69ePRo0aJCirW3btpQpU0ajVts/yWIbEBBAixYtcHBwoGbNmjx58oTJkyejo6OjctzJkyextrZGLpdz69Yt7O1Vx46LiIj8u3ke+pWZJ/xpuMSLSjM9sVt1Fft117BbdZVKMz1puMSLmSf8eR6a9kv369evqVevHm/evMHb25smTZr84jsQ+ROQy+XMnTuXxo0bU65cOR48eECzZs3UHl+0aFHy5cundpxtWsI2vTjbZJo1a4aLiwsfPnzg69evtG/fnri4OGX7nptBKj3+Yp75gESKsWVL5TWJtg5GVZsRH/wUWdSndMdqSSXsvpG190J3d3eaNm2Knp5epscmC1vRYpt9RGErosTc3PyXWWwhqaj3uOZlNTKX7O4RVo/unqq+mrW1NWfOnMHb25uCBQty/fp1qlWrRvPmzdm4cSMlSpSgc+fOXL169Ze6KefMmZOqVatmGGebnEk3IzdkQOmKvGjRInbs2MHWrVupU6dOtvd64cIFbt68ybRp01LFjUilUsaMGcORI0d4+fJlttdKnvN3t9jGxsYyffp0KleuzPPnzzl58iRHjx6lWLFiKscpFApcXFxo164djRs35tatW5QvX/4X7VpEROR34214DD233MxU/c2eW26miAV89OgRderUQSaT4ePjQ/Xq1X/pPYj8GYSGhtKyZUtmzJjBtGnT1HI9/hGJRIKVlVWWhW1GcbbJTJ8+naZNmyIIAvfv36d///7KdzSvZx9V5mlJCA0kh2kRpLopK3DoFCqrbE8PuULAKyDzSVTDw8Px8fHJkhsyoEx2Klpss48obEWU/EqLbTLDbcuwsENldLQkCIrMiRktqQRdbSmLOlTm7IqxhISE0KJFC758+ZKqb4MGDfD29sbT0xMtLS0OHDiApaUlo0ePxtfXl/r162NlZcWuXbuIj4/X1O2pJDnOVhWPHj3i27dvKoVtaGgokGSxPXLkCJMnT2bGjBkay6o7d+5catSokW5CiV69emFqasqKFSs0st7vbrF1d3enYsWKLF68mIkTJ/L48WO1HmaRkZG0a9eOOXPmMHfuXA4fPpxtF3EREZE/l323g2i63JtrgWGA+vU3rwWG0XS5N/tuB3H58mUaNGhAgQIF8PHxoXTp0j993yJ/Hl5eXlhaWvLo0SPOnj3LrFmzshz6kpxASh1jwI/CNqM422S0tLTYu3cvBgYGFC9enD179jB//ny+xcsIyiDBk/xbOFpGqS2fWkamynZVBIXFqO3+n4ynpycKhYLWrVtnalwyosVWc4jCVkTJr7bYJtPVuihV3h5H+JCUvTijpFLJ7XVK5uH86IY4WBelQoUKnDt3jhcvXtC6dWvll+j3SCQSmjdvzs2bNzl27Bjh4eEsXbqUkiVLsmrVKvLly0evXr0oVqwYs2fPVgrGn0X9+vV5+fIl79+/T7fP1atX0dXVVca1pEWyxfbdu3f06NEDBwcHZs6cqZE9Xr16FW9v7zSttckYGBgwbNgwtm7dmspinhWkUulvKWzfvHlD+/btadu2LaVLl8bX15fZs2erVRfSz88Pa2trfHx88PDwYOrUqem6louIiPz7Sa6/GS9TZChof0SuEIiXKZh0xBf7aRuoUaOG0itJROR75HI5s2fPpmnTplhYWPDgwQOaNm2arTmtra359OmTWqFchoaGACnymjRq1Ahvb+8MhXG+fPnYv38/z58/p27dukybNo0t+4+nkwf5fwiyBNBKXf9doq3zv3ZV44HXYZnLw+Lu7k61atVS1P3NDKLFVnOIb1YiSszMzAgJCfnlbqC+vr4c2bWJKbVzcm5UA3raFMOY2FRfehKgWB4DetoU4/zoBuzqZ6OMqQWwtLTE09MTX19f2rVrR2xsbJrrSSQS/vrrLx48eICbmxsvX75kxIgRGBkZceLECezt7Vm0aBFFixalT58+3L+vOkV8Vkm2wqpyR75y5QrW1tbo6uqm2yc0NBRDQ0O6dOlC5cqV2bZtm8ZKO8ybN49KlSrRrl07lf2GDh2KXC5n/fr12V7zd3NFTkhIYMGCBVhYWHD79m0OHDiAp6cnZcuq50Z/4MABatWqhb6+Pnfu3KFVq1Y/ecciIiK/M/tuB2ms/qZx3e70nbtJ9P4QSUVoaCgtWrRg5syZTJ8+nXPnzqnM0q8uVlZWAGq5I/9osYUkYRsSEsKLFy8yHF+3bl0WLVqEj48P9evXZ7rLrAzHSLR1QJ6Y6nqyoE0WuKpIkKl/uC6TyThz5gx2dnZqj/mRyMhIcuTIgYGBQcadRVQiClsRJebm5shkslQZ6H4206ZNo0SJEvTr148yBYyZ2a4iZZ7tpfT9tXiMqMfRIXXwGFEPv5kt8B5ny8x2FSmd3zjNuWrWrMmpU6e4efMmHTp0UOlWLJVK6dq1K/7+/mzbto27d+/y119/8e3bNy5fvsycOXO4ePEi1atXp2HDhhw5ckSjgqtQoUKUKlUqXWErCAJXr15V6YYMSZbaxMREtLS0OH78uFoWRHW4c+cOZ86cUcu6mD9/fnr37s2qVauy7cr9O7kiX7x4kapVqzJ9+nRlTeTOnTurdXAgk8mYMGECDg4OtGvXjuvXr1OqVKlfsGsREZHflbfhMbic8EeREEvklT2E7p/B2xVdebOwDd8enU9zTOLnt4Tun0HQ0k68XdGVzyeXIo/5X8jNnFPPslV/U+Tfx8WLF7G0tMTPz49z584xc+ZMjWXdL1iwIGZmZmplRtbR0SFHjhwphK26cbbJjBkzhvbt2/Po0SOKmWdsEdUyMkX+LSLV9WQX5GSXZJX71lZfHt24cYPw8PAsx9dCksU2d+7cYr1pDSAKWxElybVsf6U78o0bNzhx4gSzZ88mR47/uY74+flRpUI5KhbORbWiJlQsnAtDXfXqsNarV48TJ07g5eVFt27dSExMfXL3Pdra2vTp04dnz56xZs0aLl68iI2NDS9evMDb25uDBw8il8vp2LEjpUuXZunSpcp4iOyiKs42MDCQDx8+UL9+/XTHKxQKjhw5gkwmw93dXaOuaPPmzaNMmTJ07txZrf6jR4/mw4cP7N27N1vr/g4W2/fv39O9e3eaNGlC3rx5uX//Pq6urhgbp32g8iOfP3+mZcuWLFu2jGXLlrFnzx6lS5aIiMh/lylHfZEpBBQxUXzxcSMx7C058pdIt78s6jMf9kxEFvGe3A17kbNmB2Jf3iZ03zSE/7dKZbf+psi/B7lczqxZs2jatCkVKlTgwYMHPyVDtrW1daYSSH0vbNWNs01GIpGwbds2TE1NiQl9k6ELs07+kiSGB6OIT3nYkxCS5CWhU6Ck6vWA4nnUf157eHiQL18+lSFjGREZGSnG12oIUdiKKDE3Nwf4ZQmkBEFgypQpVK5cmW7duimvx8bG8vLlSypVqpTluZs0acKRI0dwd3enV69eagklHR0dhgwZwosXL1i8eDFHjx6lfPnyXLlyhUOHDnHnzh3q16/P5MmTMTMzY/jw4QQEZM+drH79+jx8+JCoqKhUbVeuXEEikVC7du10x0+ZMoW3b99Ss2ZNqlSpkq29fI+vry/Hjh1jypQpap/yli9fnrZt27J06dJsZZj+Jy22MpmMlStXUq5cOc6fP8/27du5fPkylStXVnuOe/fuYWVlxaNHjzh37hyjR48WT2FFRER4HvqVKy8+I1cIaBmZYjZ8F2ZDt2Fi65TumC/XDyAkxlOg2zxyWrUjV50u5G0/icSPr/jmewHIfv1NkX8HHz58oHnz5syaNYuZM2dy9uzZnxZ3bWVlxZ07d9R6Vv8obCHjeraQ9Dy+efMmCxcuxMHBgffv3xMY8AR55AeV6xmUrwuCgq8PziivCbJEvvmeQ6dwObRz5lM5vmgeA7UNKZAUX9u6dets5c1IttiKZB9R2IooMTU1RU9P75dZbC9cuICXlxdz585N8YXw9OlTFAoFFStmr85t69at2bdvHwcPHqR///5qiyV9fX3GjBlDYGAgM2bMYMeOHZQqVYqDBw+yfPly3rx5w9ixYzlw4ADlypXDzs6Os2fPZknM1atXD4VCwfXr11O1Xb16lUqVKqV7irdt2zYWLVpEkSJFqFq1aqbXVsX8+fMpVqwYjo6OmRo3duxY/P398fT0zPLa/5TF9vr161hZWTF69Gh69OjBs2fP6N27d6ZE6Y4dO6hbty758+fn7t272Nra/sQdi4iI/El8X39Top0jzcytPxLz7Br6pa3RzpVfeU2/uCXapkWIefI/b5/s1N8U+fO5cOEClpaWPH78mAsXLjBjxgyNuR6nhbW1NVFRUWrFyaYlbBs2bJgqzlYul3Pv3j2WLl1KmzZtMDU1pVatWsybNw8tLS1mz57NlClTiHl5G4mQ/vucbuFyGJSvR6T3DiK8tvL1wRlC3aYg+/IRk0Z9Ve5VSyrBtmx+lX2+582bN/j5+WUrvhZEi60mEYWtiBKJRIK5ufkvsdgmW2tr1apF27ZtU7T5+fkBUKFChWyv06FDB3bu3MmOHTsYPnx4psSnsbExU6dO5dWrV4wePZrVq1dTsmRJNm7cyNixYwkKCmLbtm3KMkMVK1Zkw4YNxMSoH+tUtmxZ8uXLx9WrV4mOl+Ef8oX7QRH4h3zhyvVb6bohe3t7M2jQIAYOHIggCOTPr/4XcUY8e/aM/fv3M2nSpBTu4erQoEEDrKyscHV1zfL6v9pi+/nzZ/r370+dOnXQ1tbm5s2brF27NlMPmYSEBIYPH06fPn1wdHTk8uXLSg8IEREREci4/uaPyL5+RhETiU7B1CV8dAuVTVGPM6v1N0X+bORyOS4uLjRr1ozKlSvz4MGDX3KgmtkEUj8K23r16iGVStmzZw9///039vb25MuXjxo1ajB9+nTi4+OZNGkS169fJzw8nFOnTjF+/Hjmzp1LIzNtBIlq+ZK3zRhyWv1FtJ8X4ec2IChk5O80A72iqj0B5QqBHrWKZnhPyXh4eKCtrZ1uOUR1ES22mkN9W7vIfwIzM7NfYrE9duwYt2/f5uLFi6ksYv7+/hQtWlRjWR67d+9OXFwc/fr1Q19fH1dX10xZ4UxMTJg7dy4jR45k4cKFLFiwgL///puJEycybNgwevfuzZUrV1ixYgVDhw5l8uTJDBgwgGHDhlG0qOovyBcfv1GswzjcvhVm90zPFGnshbbzua6rYOYJfxxtilKmQFJ854sXL+jQoQP169dn1apVbNu2TaPCduHChRQsWJA+ffpkeqxEImHcuHF07dqVBw8eYGlpmek5fpXFVqFQsGXLFiZNmoRCoWDt2rUMHDgw06fc79+/p3Pnzty6dYv169czcOBA0fVYREQkBerU3/yR5AQ4aSW70TIyQRH3FUGWiEQ76QAyuf5mZtwoRf5c3r9/j6OjI97e3syaNStToUPZxcTEhFKlSnH79u0MPbsMDQ2Jjo5GEASePXuGl5cXXl5eSKVSZs2ahY6ODrVr12bkyJHY2tpiY2OTbiUIiUTCrtWLqey8EUXeUiBN+34l2jqYNHbCpHH6bv4/oiWVUKdknnSTk6aFh4cH9evXJ1euXGqPSYvIyEi1Ky2IqEa02IqkwMzM7KdbbOVyOdOmTaNp06Zpniz6+fllK742LZycnFi9ejXLli1jxowZWZojX758LF26lJcvX+Lg4MC0adMoVaoUq1evxsbGhiNHjvDixQv69u3Lhg0bKFmyJF26dMHHxyeVpfhteAw9t9yk2YrLfDapgEzPJFVtNolEQniCFrtuvqHZisv03HITv1fvadOmDXnz5uXQoUPExMSQmJhIgQIFsvibScnr16/ZvXs348ePR09PL0tzdOzYkWLFirF06dIsjf8VFtv79+9Tp04dBg4cSNu2bXn27BlDhgzJ9EvBtWvXqFGjBq9evVJa0UVRKyIi8iNvwqIzrL/5I4IsKcO8JK2anFo6KfpA1upvivyZnD9/HktLS548ecKFCxeYPn36LxO1yVhbW6vMjCwIAi9fviQ8PBxvb2+KFCmChYUFzs7OBAcHY2VlRZ48eYiIiODSpUu4uLjQoEEDleUNIUkobxnUBEEhh2zk8/gRbamE+fbq59OIiYnh4sWL2cqGnIxosdUcorAVSYG5uflPt9ju2bOHx48fM3/+/DTb/f39NS5sAYYNG8aSJUuYO3duumurQ5EiRVi7di3Pnj2jdevWjBo1ijJlyrBp0ybMzMxYunQp7969Y+XKlTx48IB69epRs2ZNdu/eTUJCAvtuB9F0uTfXAsMAEFAthJJd164FhtF2/U0iTSvg7u6OiYkJoaGhABqz2C5evJjcuXMzcODALM+hra3NqFGj2LdvX5YOSX6mxfbLly84OztjZWXFt2/f8Pb2Zvv27Zn+/QmCwLp162jUqBGlSpXi7t27KpN8iYiI/LfJTF3MZCTaSS/4Qlo1OeUJKfpkZx2RPwe5XM6MGTNo3rw5VatW5cGDBzRq1Ogf2YuVlRX37t1DJpMprwUFBbFjxw769OlD8eLFKV26NI8ePSIqKoqePXty+vRpIiIi8PHxYfr06YSFhREcHJzptW1rVqFDMRlo8CB5druKmJuqX0f24sWLxMXFZTu+FsQYW00iCluRFJiZmRESEvLThEVCQgIuLi7Y29unmRr969evvH79OtuJo9Jj3LhxzJ49m6lTp7JixYpszVWiRAm2bt3K48ePqVu3LgMHDsTCwoLdu3ejr6/PsGHDePr0KR4eHpiamtKzZ09Kth3KpCO+xMsUmYq1giSBq5Boo9ewH57/rxeTaw5rwmIbEhLCli1bGDNmTLZL0/Tr1w9DQ0P+/vvvTI/9GRZbQRDYs2cP5cqVY9u2bSxevJj79+/ToEGDTM+V7NY+dOhQBg0axIULF35a5kkREZF/B5mpi5lMcnKp5Pqb3yP/FoFUz1jphpyddUT+DEJCQmjSpAnz5s1jzpw5nDlzRmPeWlnB2tqa2NhYXF1dGTBgAKVLl6ZYsWL07duXhw8f0rFjR06cOEGvXr2wsLBg0aJFtGzZEiMjI+B/cbbqlv35keXDO1M27tn//yt7ltvxzcvhYK1+bC0kZUMuXbp0tl2IFQqFKGw1iPgNKJICc3NzZDKZ0hKoaTZt2sSbN2+YO3dumu2PHz8G+CkW22SmTZvGpEmTGD16NOvXr8/2fOXKlcPNzY2HDx9SsWJFevbsSZUqVTh8+DCQlJ3Z09OTpcduoF3dPltrJbu5up4NYP/tII1abF1dXTEwMGDYsGHZnsvY2JhBgwaxYcOGNEsZqUIqlWpU2D5+/JjGjRvTo0cPGjRowJMnTxg7dmymE2NB0ml0/fr1cXNzY8eOHaxatQodHR2N7VVEROTfSfE8hhn45qRG2zgvUoNcJHxInXk2/n0AOgVS1r/NbP1NkT+Hs2fPYmlpSUBAABcvXmTq1KnZKi+TVT59+sTBgwcZOnQoAwYMAGDy5Mlcv36dVq1acfjwYT59+sT9+/dZtmwZbdu2xdTUNFXyKMh8Pdu0OLlwGEaPj4MsEWlmxa1CjiBLYEqTYgyzTZ2gTRWCIODh4UGbNm2yHX4UFRWFIAiiK7KGEIWtSArMzMyAn1PLNjo6mjlz5tCzZ890Mx77+/sjkUiwsLDQ+PrJSCQS5s+fz8iRIxkyZAg7duzQyLxVqlTh+PHj3Lx5EzMzMzp16oSVlRWnTp0iKCyaDXdSn7onkxgezKfji3i3pjdBrh0J3jiYyKtuKBLj0h0z44Q/ASHhaGtrZ/sL8dOnT6xfvx5nZ2eNJe0aMWIEMTExbNmyJVPjNOWKHB0dzaRJk6hatSrv3r3D09OTAwcOKP/GM4uXlxc1atTg06dP+Pj40KtXr2zvUURE5L+Boa42RTPh5piMQbk6xL64jSzqk/Ja7OsHyMKDMShfL0XfzNbfFPn9kclkTJs2jZYtW1KtWjUePHhAw4YNf9n6ERERHDt2jJEjR1KlShXy589Ply5duHDhAra2tpiZmdGrVy/8/PxYtWoVHTp0IE+ePCnmSCsrcjKNGjXC29s7S+USAXR1dTm5YjJR+yci/ZR0ACQoVL8/JJfc0ol4TcLR6RxeMjbTh+mPHj3i3bt3GnNDBkSLrYYQha1ICpJLlPyMONtVq1YRHh7OzJkz0+3j5+dHqVKl0NfX1/j63yORSFi+fDkDBw7EycmJ/fv3a2zumjVr4unpibe3N4aGhtjZ2dFsylYS5Wl/ccqiPvFhxxjig59hXL0NJk0HoFukPF+u7uHz8SXpriNTCLh/MCJ//vzZPrldvnw5WlpaODs7Z2ue7zEzM6Nbt26sWLEiRQxORmTXFVkQBI4ePYqFhQUrV65kxowZ+Pr6ZjkdvyAILFu2jGbNmmFpacmdO3eoXr16lvcnIiLy38S2XH7lSzVA1N2TRPrs49ujcwDEvrhFpM8+In32oYhLSgKVq3YXJDl0Cd07hag7J/ly/QCfjy0kR77iGFVuppwrs/U3RX5/kl2PFyxYwNy5czl9+rRGKyCkRVRUFB4eHowbN44aNWqQJ08e7O3tOXnyJNbW1uzatYt3797x7Nkz1q9fT5MmTZSedumRkbANDg7m5cuXWd5ziRIl2LZqCS+3jMbAaykl5e9IDA9JlVhKAhTLY0BPm2LMqqnN800jGdSjE2fPnmX58uWZWtPd3R0jI6MshTP9SEREUvZz0WKrGcSjPZEUmJqaoqenp3GLbWRkJIsWLWLgwIGUKFEi3X4/IyNyekgkEtatW0dsbCyOjo7o6enx119/aWz+Bg0acPnyZbYf9WTWbXm6ISDRfl4o4qMp1GMxOvmKAWBs2RIEBdF+F5HHfUNLzyjVOLlCIIRc5CmRvXjkiIgIVq9ezdChQ1OdtGaXsWPHsmvXLg4dOkTXrl3VGpMdi+3Lly8ZMWIEp0+fpnXr1qxatYqSJUtmaS5Isvr279+fffv2MWHCBObNm4e2tvi1KSIiknkcbYqy/fpr5b+jbh5FHvW/2rMxAdcg4BoARhVtkeoZop0zHwW6LyDi4mYivbcjkWqjX9oak8b9UsTXZrb+psjvzdmzZ+nRowc5cuTAy8tLIwIqLaKjo/Hx8VGW4Llz5w5yuRwzMzNsbW0ZPnw4tra2FC9ePM3x1tbW7N27l/j4+HSzGSeX+0mL7+NsS5fOnDvw9yTnuXh225t1i1xo06YNiYKU3cc9cezZm/lzZzPYseN3Hg0V2du8OXv37mX06NFMnjyZRo0aUaNGDbXW8/DwoHnz5hoJRRIttppFfEMTSYFEIsHc3FzjwtbV1ZX4+HimTp2qsp+/vz99+/bV6NqqkEqlbN26lbi4OLp06cLx48dp2bKlxuaXSCS80TZHS/om3WRRioSk2oZahrlTXNcyMgWJFIlUxcdUUKBVrlG29rhq1SoSExMZM2ZMtuZJi6pVq9K0aVNcXV1xcHBQKxYlKxbbuLg4Fi1axIIFCyhQoABHjx7lr7/+ylbsy8uXL7G3tycwMJADBw7QuXPnLM8lIiIiUqaAMfVL5+VaYBhyhYDZ0K1qjdPJV4wCDnPSbc9K/U2R3xOZTMbMmTOZP38+zZs3Z9euXeTLl09j88fFxXH9+nWlkL1586ayZKCtrS1OTk7Y2tpSunRptZ6fVlZWJCYm8ujRozQTgkKSxTY+Pp7ExMRUuS2+j7Pt379/lu9rw4YNFCtWjKJFi+Lo6EhiYiK5c+dm0qAeyEJfYRAfnspNf8mSJVhaWlKsWDEqV65Mt27duHfvnjK5VXp8+vSJGzduZDrMKj1Ei61mEV2RRVJhZmamUVfk0NBQVqxYwciRIylUqFC6/cLDwwkJCfllFttktLW12bNnDy1atMDe3h4vLy+Nzu/17KPKDMh6RZPqpoWd+puE0EBkUZ+IfnKZr/dPYVyjLVIdFfVkJVJiTbNukfz69SsrV65kwIABPy274rhx47h79y6XL19Wq39mLbZnzpyhUqVKzJs3j9GjR/P48WPat2+fLVF7+vRprKysiI2N5caNG6KoFRER0Qjz7SujLdVgrWtBQEtCpupvivyeBAcH07hxYxYuXMj8+fM5depUtkVtQkICV69eZc6cOTRu3JjcuXPTuHFj1q5dS4ECBVi+fDmPHz/m/fv3uLm5MXDgQMqUKaP287Nq1apoa2urrGebLBTTs9o2atSIS5cuZTnONjIykn379jFw4ED27dtHfHw88fHxzJkzhy9fviCVSvn8+XOqcVWqVKFPnz7MnTuXjRs3EhISolY41pkzZxAEgVatWmVpv2ntHyBXrlwame+/jihsRVKhaYvt/Pnz0dbWZvz48Sr7+fv7Az83I3J65MiRgwMHDtCgQQPatm3LtWvXNDLvt3gZQeExKvvol6xBrvo9iHv9gPfbnAle25fPxxdjXKMtpk0HZLhGnJYR0fHqx7B+z/r16/n69WuG/22yQ/PmzalUqRKurq5q9VfXYvv27Vs6depEq1atKFq0KA8fPmTBggXZKlWkUCiYO3cudnZ21KtXj9u3b/8jf48iIiL/TsxNDZjVToPl7CQSYq5sJzRQdZyjyO+Np6cnlpaWBAYGcunSJSZNmpSl3BkymYybN2+ycOFCWrRogYmJCfXr12fp0qUYGxuzcOFCHjx4wMePHzl06BDDhg3DwsIiywfBenp6VKlShdu3b6fbJ1nYphdn27Bhw2zF2e7evZvExEScnJwoXLgwEydOBJISPB09ehSZTMbBgwfTFM5z5swhOjqaw4cPs2rVKrZt25ZhzhV3d3esra01VuYvIiICY2NjMcxJQ4jCViQVmrTYvnnzhvXr1zN+/HhMTU1V9vX390dbWzvbNcGyip6eHkePHsXKyopWrVqpPIFUlzdh0WoloNfOVQBd84qYthxOPvspGFZpRtS1A0TdPZnxYImE12Fpn4SqIrn+XJ8+fZRJw34GEomEsWPH4u7uzpMnTzLsn5HFNjExEVdXVywsLPDx8WHPnj1cuHAh25m0v3z5QocOHZg+fTouLi4cP35cdA0SERHROF2tizKuuWaec4NqF8Ys/n9lyET+LGQyGVOmTKFly5ZYW1vz4MED6tWrl/HA/0cul3Pv3j2WLl1KmzZtMDU1pVatWsybNw8tLS1mzpzJ7du3CQsL4/jx44waNYqqVatqtFSQlZVVtoRtdurZCoLAxo0badeunVJoGhkZIZVKWbNmDTExMRQvXhxfX1+WLVuWanyRIkUYM2YMy5cvp0mTJnTp0oWBAwfy+vXrNNdLTEzE09NTI9mQkxFr2GoWUdiKpMLc3JyQkBCNlFyZNWsWuXPnZuTIkRn29fPzo2zZsv9oXVADAwNOnjxJhQoVaN68OY8ePcrWfAmyjC2P0Y+9CT+zmjytnDG2bIlBuTrkbT0Sw8pNiLy0HXlsxnVgT3qcJiEhIVN727x5M2FhYUyaNClT47JCt27dKFiwoFqZB1VZbC9fvky1atWYOHEi/fr14+nTp3Tv3j3bdeSePHlCzZo1uXTpEidPnsTFxeUfqREoIiLy32C4bRkWdqiMrrY0RaZkdRAUcnS0JCzqUJnJ7apx6dIlOnfuTPfu3Zk6dapG64CL/DzevXuHra0tixcvZuHChbi7u5M3b16VYxQKBb6+vvz999/Y29uTL18+atSowfTp04mPj2fSpElcu3aN8PBwTp06xfjx47GyskJLS+un3Ye1tTWPHz9O19U4I2GbK1cuqlevniVhe+PGDXx9fRk0aJDyWkBAACVLlqR58+Y4OjpiZmZG+fLlGT9+PCdOnEg1x4QJEzA2NmbGjBls2LABExMTHB0d06zm4OPjw5cvX2jTpk2m95oeERER4iG6BhHf3ERSYWZmhkwmIzQ0NFvzPH36lB07djB16tQMg/EhyWL7O7h9Ghsbc/r0aUqUKEHTpk15+vRplufS0c74I/b13il0CpREO2fKB5pB6ZoIifEkhAZmOMeMaVMoXrw4c+fO5dOnTxn2j4+PZ/HixXTv3j1bWYPVRVdXF2dnZ3bu3Jnh31VaFtvQ0FB69epFw4YNMTY25s6dO6xcuVIjMSlHjhyhZs2a5MiRg9u3b2v0gSUiIiKSHl2ti3J+dEPqlPz/bPRq1t8UPjyldIAbDtZJWZD19PTYsWMHixcvZsGCBdjb2/P169efuneR7HH69GksLS15/fo13t7eTJw4Mc3DVEEQePr0KevWraNLly4ULFiQKlWqMH78eCIiIhg5ciTe3t5ERERw7tw5pkyZQu3atVMlafqZWFtbo1AouH//fprtGQlbyHqc7YYNGyhZsiRNmzZVXnv+/DnlypVj9+7d6Onp8eTJEwoXLkz79u3p3r07Dx8+TDFHzpw5mTVrFjt37uT169fs2bOHGzduMGdO6oRtHh4eFCxYkGrVqmVqn6oQLbaaRRS2IqkwMzMDyHac7fTp0zEzM0txkpYegiDg6+tLxYoajD3KBrlz5+bs2bMUKFCAJk2aZDn2o3geQzI6i5fHRCIIqU/YlUXGM3jZAbjmeZy2bdsyb948zM3N6devn0pr886dOwkODmby5MkZzq0pBg0ahLa2NmvXrlXZTyqVKi0OcrmctWvXUq5cOTw8PNi8eTM+Pj4aeajI5XKmTJlCx44dadWqFTdu3KBMmTLZnldEREREXcxNDdjcw5Jv+ydSTvqRYnkMVNbfPD+6AUvblOD0wd24u7v/r49Ewvjx43F3d+fSpUvUqVOHV69e/eK7EckImUzG5MmTad26NTY2Nty/f5+6desq2wVB4OXLl2zevBlHR0eKFCmChYUFzs7OBAcHM3DgQM6fP09kZCSXLl3CxcWFBg0apFtq51dQoUIF9PT00nVHTs57kZ5FF7JWzzYiIoL9+/czYMCAFIcCAQEBlC1blrx583LgwAHCw8Px9/dn165dlC1blrZt2/Lhw4cUc/Xv35+yZcsyfvx46tSpg4uLC3PnzuXKlSsp+rm7u2NnZ6dRjy7RYqtZRGErkorkeMvsxNnevXuXQ4cOMXPmTLW+cD9+/EhYWNhvYbFNJk+ePJw/fx4jIyMaN25MUFBQpucw1NWmqKmByj45TAqTEPqSxPDgFNejH3uDREqOfMVVji+SSwcry8ps2LCBd+/eMXPmTDw9PalatSq2trYcP348hQVUJpOxcOFCOnbsmO241MxgamqKk5OTMu4lPZJdkW/duoWNjQ3Dhg2jc+fOPHv2jH79+mnkgRIeHo6dnR2LFi1i8eLF7N+/Xy2vAhERERFN4+npSdgrf5Y61sJ7nC36HtNoFHcdx3whfNo1Bl+X5niPs2Vmu4qUzm9Mp06daN68OSNGjEj1Xdq6dWtu3LhBbGws1tbWWXLvFPk5vH37lkaNGrFkyRIWL17MyZMnyZs3L0FBQezYsYM+ffpQvHhxSpcuzaBBg3j+/Dk9e/bk9OnTRERE4OPjw9y5c2nSpAn6+vr/9O0oyZEjB9WqVUs3L4k6FtusxNnu2rULmUxGnz59lNdkMhmBgYHKQ+ratWvTqFEjQkNDOXv2LCdPnkQmk9G+fXtiY2NT3MOiRYs4f/48np6eTJ06lbp16+Lo6Kgsx/Py5UuePn2q0fhaEC22mkYUtiKpMDU1RU9PL1sW26lTp1K+fHl69uypVv/kjMi/i8U2mQIFCnDhwgW0tLRo3LgxISEhmZ7Dtlx+lTFUOW06gkLBh90TifRx4+s9D0IPuBD7/AZGVZqibZwn3bGCQs6nB5dYsmQJ7969I0+ePEyaNIlXr14p0963b9+esmXLsnz5cr58+cK+ffsIDAzMsKbwz2DUqFFERESwc+fOdPvExcURFxdHrVq1kMvlXLt2jU2bNmUYe6QuDx8+xMrKijt37uDp6cn48eOzHaMrIiIiklXc3NyoXLmy8mD3Y8hbyuU3pFpRE2KCA0iMTSkIJBIJq1evJiQkhPnz56eaz8LCglu3bmFpaUmzZs1Yv379L7kPkfQ5deoU1apVIygoiCNHjlCkSBEGDRpE6dKlKVasGH379uXhw4d07NiREydOEB4ezq1bt1i0aBEtW7b87Q9era2t07XYGhgkHe6rEraZjbNNThrVvn37FNmJX79+jUwmS5GEtEmTJujo6NCnTx/i4uI4ceIEjx49ol+/filcn9u1a0eDBg2UVSJ2797N169fGTBgAIIg4OHhgY6OTgq3Z00gWmw1iyhsRVIhkUgwNzfPssXW29sbT09P5syZo3b6cj8/P3R1dSlVqlSW1vyZmJmZcfHiReLj42natCkfP37M1HhHm6IZ1LGtRMGeS9ApWIpv904Rfn4TssgP5G7QC9MWw1TOLZFqUV77E9OnT6do0aI0adKE7du3Exsbi4ODA9euXePmzZvUqlWLCRMmUKRIEZydnbG1tcXS0jJT96EJSpYsSYcOHVi2bFmqOFqFQsG2bduYN28eMpmMFStWcPv2bWrXrq2x9ffs2UPt2rXJnTs3d+7c0fgDSkRERCQzfPv2jRMnTtCtWzcgKetqeHg4BQoUUL6w/+g2CVCmTBkmTZrE4sWLefbsWap2U1NTTp8+zZAhQxgyZAjDhg0jMTHx596MSCoSExMZMWIEdnZ2GBkZoaury19//YWjoyPXr1+nVatWHD58mE+fPnH//n2WLVtG27Zt/7iaplZWVjx//lxZk/V7tLS0MDAwUClsIckd2dvbW60422vXruHv758q1O358+cAKcKKTE1Nkcvl5M+fn86dO1OpUiV27tyJm5tbijhaiUSCq6srfn5+bN++naJFi7J582YOHz7M5s2b8fDwoFGjRhgbG2e4v8wgWmw1iyhsRdLEzMwsSxZbQRCYOnUq1atXp0OHDmqP8/Pzw8LC4ret41W8eHEuXrxIREQEzZs3Jzw8XO2xEW+eoPXpOYIi/VqzuoXLUaDLLMxG7KLYhGMUGbiBXHW6IJGmn8lQIiiQhD7jxO6NhIaGsnnzZgRBwMnJiQIFCtC1a1c8PDyoVq0ae/bs4fXr17Ro0YKIiAi8vLxo27Yt58+fz3JR9Kwybtw4nj9/zsmT/ytl9OjRIxo0aICTk5Py78DZ2Vljfw+JiYmMGjWKHj160LlzZ3x8fChevLhG5hYRERHJKidOnCAmJoauXbsCKJP/ZSRsASZNmoS5uTnDhg1L83s8R44c/P3332zcuJGNGzfSokULwsLCftKdiCQTERHBsWPHcHJyInfu3KxevRoAHR0dmjRpwr59+/jw4QN+fn6sWrWKDh06kCdP+p5ZfwLW1tZAUhhaWhgZGaklbN+9e0dgYMYJMzds2ECpUqVo3LhxiusBAQHo6ekpc8VAUs4UuVzOjh07ePz4MSNHjqRTp07MmTMHFxeXFHVrra2t6dq1K9OnTyc6OpqOHTsyYMAAnJ2d8fLy0rgbMiT9vYjCVnOIwlYkTbJqsT116hQ+Pj7Mnz8/U7GQ/v7+v50b8o+UKVOG8+fPExwcTMuWLfny5YvK/tHR0YwZM4batWtj/PQkuhoW7RJBQaG3XkCSG4+TkxMXL17kzZs3zJw5Ez8/P9q0aUPhwoUZMWIEb9++5eXLlzRu3JjNmzfz5s0bmjVrRuXKldm0aVOKeJOfiY2NDXXr1mXp0qV8/fqVMWPGUL16dcLCwrh48SL9+/fXaLmK0NBQmjVrxpo1a1i1ahXbt2//reKTRERE/ru4ublRu3ZtSpQoAaDMGp8/f/4Mha2+vj6rV6/mwoULKV7Of2TAgAFcuHABX19fatasqQz9EdEMUVFReHh4MG7cOKpXr06ePHmwt7dnx44dSCQSZsyYwbt37wgICGD9+vU4ODhQoECBf3rbGqVs2bIYGxun646sjrBVN842PDycAwcOpEoaBUnCtnTp0imuJ7v5Fi1alDVr1rBx40Z2797N1KlTcXR0pE+fPty6dUvZf/78+YSFhSnr3i5fvpw8efKQmJiocS+v5NAr0RVZc4jCViRNsmKxVSgUTJ06lQYNGtC8eXO1xwmCgJ+f32+VOCo9KlasyNmzZ3n+/Dl2dnbpZvnz9PSkUqVKrF+/nkWLFnHnkiez21fW6F7yBV2icK7UibnMzc2ZOHEivr6+PHjwgD59+nDkyBFq167Nw4cPKVasGI0aNeLhw4dcvHiRUqVKMWjQIMzMzJgyZUq2s2Grw9ixY7l69SqlSpViw4YNzJs3j4cPH2Jra6vMiqwJS/KtW7eoUaMGT58+5eLFiwwfPlyMpxUREfktCAsL48yZM0o3ZPifsC1QoABGRkYYGhqmK2wBWrVqRceOHRk9erTKw9YGDRpw+/ZtDA0NqV27doqMyiKZIzo6mrNnzzJ58mRsbGwwNTWlTZs27N+/nwoVKtCiRQsA7OzsCAoKYtasWRQpUuQf3vXPRSqVUqNGDZUJpFRlRQb142x37tyJQqGgb9++qdqeP3+eIr4W/idsIyMjcXJyonfv3gwaNIjHjx+zefNmqlevTrt27ZTGnBIlSjBixAgWLVrEhw8fMDQ0VFqkN27cqHJvmSXZdVu02GoOUdiKpIm5uTkhISGp4iBVceDAAR4+fMj8+fMzJR6Cg4OJior6I4QtQLVq1Thz5gyPHj2iXbt2KSydnz9/plevXrRs2ZJSpUrh6+vLuHHj0NbWpqt1UcY1L6tiZvUZ37wccY8vqjz1lUgkVK1alSVLlvDmzRvKly9P/vz5OXDgAKVLl6Zu3bo8ffqUrVu38vz5c3r16sXq1aspXrw4Xbt25caNGxrZ648EBASwZs0aIMlV7vHjx0ycOBEdHR0AZSH57ArbzZs3U79+fczNzbl79y7169fP3sZFRERENMjhw4dRKBR06dJFee17iy1AwYIFVQpbSLIoff36lRkzZqjsV7x4ca5du0aTJk1o164dixYt+uWhKH8icXFxeHl5MWPGDOrVq4eJiQktWrRg27ZtlCxZkrVr1xIQEMDVq1cJDAzk/PnzLF26lOPHj2NqavpPb/+XoSqBlKGhYYYWW8i4nm1y0ih7e3vlZ+R7AgICUpXtSxaNkZGRSCQS1q5dS8mSJenUqRMymYyjR4+ip6dH27ZtlXucOnUqOjo6zJw5E4VCwY0bN7C1tWXlypWcOnUqw/tQl2RhK1psNYcobEXSxMzMDJlMpnzIZkRiYiLTp0/Hzs4uRU02dfDz8wN+v4zIqrCxscHDw4Pr16/TsWNH4uLi2Lt3LxYWFri7u7Nt2zbOnTuXKhnWcNsyLOxQGV1tqcpMyWmhJZWgqy1lUYfKDLMtzcePH9P8Yk+LS5cu8fTpU3bu3MnHjx/Zu3cvJiYmjBgxgoIFCzJmzBjq1KnDixcvWLZsGXfu3KF27drY2Niwd+9eEhISMrXXtIiJiWHatGlUrlyZwMBAhgwZwocPH1IdniS7EGXmUOV74uPjGTRoEAMGDMDJyYlLly7960/LRURE/jzc3Nxo0qRJigPK0NBQcuXKhZ6eHqCesDU3N2fmzJmsXr2a+/fvq+xrZGTE4cOHmTp1KpMmTaJnz56/LAzlTyEhIYGrV68yZ84cbG1tyZ07N40bN2bNmjUULFiQ5cuX4+/vz/v373Fzc2PgwIE8ffqUatWqERwczJUrVxgzZsx/zjvIysqKoKCgNBNsquOKDNCwYUOVcbZXr17lyZMnqZJGQdIBRFBQULoW2+SyPQYGBhw6dIh3794xcOBA8uXLx8mTJ3n58iU9evRAoVBgYmLCtGnTlMmjPnz4wPTp02nVqhV9+vTJ8DOpLsl7Ei22GkQQEUmDBw8eCIBw8+ZNtfpv3LhRAIT79+9neq0lS5YIhoaGglwuz/TYf5pz584JOjo6QoECBQRAcHBwED58+JDhuKCwaKHH5htCsUnuQskpHkKxSe7p/iS399h8QwgKixYEQRDkcrmgpaUlrFu3Tq19NmzYUKhRo4agUChSXA8NDRX+/vtvwdraWgCEnDlzCv369RPOnz8vHDt2TGjSpIkACIULFxbmzp0rfPz4MfO/JEEQTpw4IRQvXlzQ0dERpk+fLsTExAjR0dFCnjx5hBEjRij7fYtLFBZt3CPoFCor3H/1SfgWl5ipdd6+fSvY2NgIurq6wpYtW7K0VxEREZGfzbt37wSJRCJs3bo1xfWxY8cKZcuWVf67Y8eOQvPmzTOcLyEhQahYsaJgY2Oj9rN03759gr6+vmBtbS0EBwdn7gb+RSQmJgo3btwQFixYIDRv3lwwMDAQACFXrlxCu3bthOXLlwsPHjxI8/eakJAgjB07VgCEdu3aCWFhYf/AHfweBAYGCoDg4eGRqs3e3l5o1apVhnNEREQIUqlU2Lx5c5rtjo6OQunSpVO9ywiCIPj5+QmAcOXKlRTXY2NjBUDYuXNniuv79u0TAGHt2rWCIAiCu7u7IJVKhQkTJgiCIAhxcXFCiRIlhLJlywq5cuUSEhIShNDQUKFAgQJC8+bNNfLO6uHhIQDCu3fvsj2XSBKisBVJk8+fPwuAcOjQoQz7xsbGCkWKFBG6du2apbX69OkjWFtbZ2nsP4lMJhNWrlwp6OnpCYBQv359QSaTZWqOgA9RgstxP6Hy5MNC0YknUwjaohNPCoUHbhScd1wRnodGpRj36dMnARAOHz6c4RpXrlwRAOHo0aMq+z19+lSYPn26UKJECQEQzM3NhUmTJglHjhwR+vfvL+jp6Qm6urpCv379hEePHql1f69evRLatWsnAELz5s2FgICAFO3Tp08XcpqVFSYeuCM0WHxRKP6DqC8+yV1osPii4HLcTwj4EJXOKkl4e3sL+fPnF8zNzYVbt26ptT8RERGRf4KlS5cKurq6QmRkZIrrPXr0EOrXr6/897Bhw4QqVaqoNefly5cFQNi4caPa+7hz545QpEgRoXDhwpn+3vwWlyj4BUcK996EC37BkZk+iPynkMlkwt27dwVXV1fBzs5OMDY2FgDByMhIaNWqlbB48WLh9u3bGT7PX79+LdSqVUvQ1tYWli1blqbY+i+hUCiEPHnyCDNnzkzV1rNnzxR/16qoUaOG0KNHj1TXP3/+LOjq6gqLFy9Oc9zRo0cFIE3jgp6envD333+nuj5s2DBBR0dHuH37tiAIgrBs2TIBUB44JYvfRo0aKcd4enoKgODq6qrW/ahiz549AiBER0dney6RJH7P2ioi/zimpqbo6emplUho3bp1fPjwgdmzZ2dpLT8/PypX1mxipZ+Nv78//fv358aNGwwdOpRatWrRt29fBgwYwObNm9XOCF2mgDEz21Xk7fFlPHryjO2HPEiQKYiKDMfWqhLayClWbiGl89dLMS7Z1UcdV+R58+ZRqVIl2rVrp7JfuXLlmD17NrNmzeLatWvs3r2bDRs2sHDhQiwtLZk8eTIxMTHs2rWLLVu20LhxY0aOHImdnZ0yLjaZ+Ph4li5dyty5czE1NeXgwYN07NgxhWvW2/AYnhZqikkPG/bfe49AarctAXgTHsOum2/Yfv019UvnZb59ZcxNDf7XRxBYtWoVY8eOpV69euzfv19tF20RERGRfwI3Nzdat26dql5paGhoiu8vdVyRk6lfvz69e/dm4sSJtG/fnnz58mU4pkaNGty+fRt7e3vq16/P1q1b6d69e7r9n4d+Zc/NILyefSQoPIbvIyElQFFTA2zL5cfRpihlCmi23mdWUSgU+Pv74+XlxcWLF/H29iYyMhI9PT3q1avHpEmTsLW1xcrKihw5cqg154kTJ+jTpw85c+bk6tWr2NjY/OS7+P2RSCRYWVmlGWerrisyJMXZ7t+/H0EQUrwz7Ny5E0EQ6NOnT5rjAgICyJkzZ5rP/9y5cyvdfr9n6dKl3Lp1i86dO3Pv3j1GjRrF06dPGTRoECVLlqRBgwYAvH79GoVCgVQqpXnz5owdO5bJkyfTqFEjatSoodZ9pUVERAQ5cuQQKzVoEDHGViRNJBKJWiV/vn79yvz583FyckoVsK8OCoWCx48f/zGJo+Lj43FxcaFatWpERkZy9epV1qxZQ8+ePdmxYwfbt29nxIgRmU7IERgYSOli5lQsnItqRU1oWKUURQrkxdzcHA8Pj1T9v8+cqYo7d+5w5swZpk6dqrbYlkgk1K1bV3lgcezYMUqVKsW8efNYsmQJFSpUYPDgwURFRfHXX39RtmxZVq5cSVRUFAAXLlygatWqzJgxg6FDh/LkyRM6deqU4gG173YQTZd7c/dd0oMuLVH7PXJF0u/zWmAYTZd7s+92EJAUt9urVy9GjhyJs7Mz586dE0WtiIjIb83z58+5c+dOimzIyYSGhqb4Xi9YsCCfPn1CJku/Dvr3LFmyBEiqcasuhQoV4tKlSzg4OODo6MjkyZNTlVx7Gx5Dzy03abbiMrtuvuHND6IWUh5ENltxmZ5bbvI2PEbtfWgKQRB4+vQp69ato3PnzhQoUIAqVaowfvx4IiMjGTVqlFLcnjt3jilTplC7dm21RG1CQgJjx47lr7/+okGDBty/f18Utd9hbW3NnTt3Ur0DZVbY/hhnKwgCGzZsoEOHDuke2CQnjkortjl37tzKRE3fo6ury8GDB/ny5Qu9e/dGEARWr15N/fr16dChAzt37kQikfD69Wv27dunHDd//nwqV65Mt27d1L6vtIiMjMTExOQ/F4/9MxGFrUi6qFPyJzkb4/Tp07O0xuvXr4mJifkjEkf5+PhgaWnJggULmDx5Mg8ePEiRKMvR0ZFNmzaxdu1axo8fnylxGxgYSMmSJVNcq1mzJtra2ly+fDlVGQd1Lbbz5s2jTJkydO7cWe29fI+Ojg5//fUXhw4dIjQ0lA0bNpCQkMD69evx9/enefPmmJmZMXbsWIoUKUK5cuVo2rQp+fLl4/79+7i6umJsnPLUfrXXcyYd8SVeplAKVnWRKwTiZQomHfFlzuFb1K1bl8OHD7N3716WLl2KtoZrBYuIiIhoGjc3N4yMjGjTpk2qtrSErSAIfPr0Sa258+XLx4IFC9i6dSs+Pj5q70lPT4/t27ezZMkSFi1aRPv27ZWHlckHkdcCwwAy/N5O7yDyZyEIAi9fvmTz5s10796dIkWKYGFhgbOzMyEhIQwaNIjz588TGRnJpUuXcHFxoUGDBujqpi6Xp4rXr19Tv359Vq1axYoVKzh69KiY9OcHrK2tCQ0NTfXuqE65n2TSqmd7+fJlnj17lmbSqGTSKvWTTHrCFqBYsWLs2rWLkydP4urqSo4cOTh48CB58uRh3rx5WFlZ0b59eyZPnkxcXByQ9G7k5uZGSEgIzs7Oat1XWkRERIgZkTWMKGxF0iUji+3nz59xdXVl6NChmJubZ2mN5IzIv7PFNioqimHDhlGvXj1y5crFvXv3mDVrVpoPxX79+rFq1SqWLl2Ki4uLWvMnJCTw9u3bNIVtcHAwMpmMc+fOpWgLDQ1FV1eXnDlzpjuvr68vx44dY8qUKalchbNC7ty56d+/P97e3rx+/Zrp06fz9u1bLl++jJ6eHjExMQQEBABJGf4+fvyYStzvux2E69kAtdb7cm0/bxa2IWTz0DTbt9z5RGSeCty4cSNNy4eIiIjI74YgCOzduxd7e/tU7odyuZxPnz6lELbJ/z8zWVj79+9PzZo1GTx4MImJiWqPk0gkjBs3Dnd3d7y9valTpw6zD9/SyEHkaq/nmRqbEUFBQezYsYM+ffpQrFgxSpcuzaBBg3jx4gU9e/bk9OnTRERE4OPjw9y5c2nSpEm23D2PHz9OtWrV+PjxIz4+PowcOVK0sqWBlZUVQCp3ZHXL/UDSu0a1atVSCNsNGzZQtmxZGjZsmO64tEr9JGNiYpKusIWkmsOTJk1iypQpXL58GVNTU44cOcLXr18JDw9n7ty5BAcHs2rVKuWYsmXLsmrVKrZt28b+/fvVurcfSbbYimgO0bwhki5mZmYqC2Un18CbPHlyltfw9/cnd+7cFC5cOMtz/ExOnjzJkCFDiIyM5O+//2bo0KEZisThw4cTGxvLhAkT0NfXz/D38+bNGwRBSFPYRkdHU6ZMGdzd3enUqZOyLbnUj6oH6/z58ylWrBiOjo5q3GnmKFasGJMnT6ZBgwb07duX58+fo6+vT2xsLAULFuTmzZs0bdqUSpUqMXLkSBwdHfkcK+Bywl+t+WVRn/ly/QCSHHrpdxIEdGo7YmJWWkN3JSIiIvJzefDgAc+ePWPFihWp2sLDw1EoFKkstpA5YaulpcXatWupWbMmq1atYsyYMZnaY+vWrblx4wZtnOez9c4nFAmxRN08QnzIMxLeB6CI+0ae1qMwqtI0xbjP7suJ9ruQaj5tUzNcWU8+I10crItmai/JvH//Xhkj6+XlpXRTtbS0pFOnTtja2tKgQYNUMcvZJSEhgYkTJ7JixQrs7e3ZunWraGFTQeHChSlcuDB37tyhQ4cOyuvJrsg/xs2mx/dxtmFhYRw+fJj58+enO/br1698+PBBpcX2/fv3KtecM2cO169fp2vXrty/f1/5mXvz5g1r165l0KBBzJs3DycnJ/LkyQNAnz598PT0ZODAgdjY2FC8ePEM7+17RIut5hEttiLpYm5uTnBwcJr1RIODg1m9ejVjxoxRK0FFevj5+VGxYsXf7uQzNDQUBwcH2rVrR5UqVfD392fEiBFqWz7Hjx/PrFmzmDJlSpovMN/z8uVLgFTCtkaNGkgkEsqUKcOpU6dSxDxlVMP22bNn7N+/n0mTJqmdDCMzfP78mX79+imt2Ldv3yYqKgpPT0+aNWumdDkKCQlhwIABFClShM5LjiKTKzKYOYkIry3oFi6HTkEVolUiQaaAKUd9NXFLIiIiIj8dNzc38ubNS5MmTVK1pZU7Ifl7PrN1M2vUqMHQoUNxcXFRKwnkjxgVKIZ2rW4gCChiovji40Zi2Fty5C+heqBWDvK0GZvix8S2LwAzTvirHXP76dMnDh48yJAhQyhfvjyFCxfG0dGR69ev07p1aw4fPsznz5+5f/8+y5Yto23bthoXta9evaJevXqsWbOGlStXcvjwYVGEqIG1tXUqi62RkREKhULpypsRyXG2r169YseOHQD07t073f7Pnyd5BGTFFTkZbW1t3NzcUCgUdO/enZMnT2JmZsbq1atZu3YtZmZmKBQK5syZoxwjkUhYv349JiYmdO/eXe1Y+GREi63mEYWtSLqYmZkhl8uVD9vvmTNnDgYGBowdOzZba/j5+f1WbsiCILBt2zYsLCy4ePEie/bswcPDg2LFimV6runTpzNx4kRGjx7Nhg0b0u0XGBiItrY2ZmZmKa7nzJkTCwsLdHR0+PTpU4oHxY9xWD+ycOFCChYsmG72wKyiUCjYuHEj5cqV48iRI6xbt44bN25gZWWFtrY2zZs3Z+fOnYSGhrJ7925q1qyJVColWjsnH8iNXA1PtrggP2Ke+mDSZGCGfeUKgSsvPvPi41cN3J2IiIjIz0OhUODm5kbnzp3TPHBMftZ+f2ipq6uLqalpms/hjJgzZw6GhoaZtthC0oGhTAFIJGgZmWI2fBdmQ7dhYuukcpxEqoVRJdsUPwZlkpIryRRCugeRERERHDt2jJEjR1K5cmXy589Ply5duHjxIo0aNWLfvn18+PABf39/Vq1aRYcOHZRWs5/B0aNHqVatGp8/f8bHxwdnZ+ff7gD+d8XKyipVAikjIyMAtd2Rk+Nsvby82LhxI506dSJv3rzp9k8Wtll1RU6mUKFC7Nu3Dy8vL3bt2oWdnR2DBg1i9OjRTJs2jY4dO7J27VqlQQKSRPPevXu5efNmpquDREREiMJWw4jCViRdkuNmf4yzffHiBVu2bGHy5MkqYzwzQiaT8fTp098mcdTLly9p1qwZTk5OtGnThidPntC9e/csP8wkEgkLFizA2dmZwYMHK08dfyQwMJDixYunaQ2uWbMmQUFBmJqa4u7urryuymL7+vVrdu/ezfjx49HTU+HKm0nu3btHnTp1GDRoEG3btuXZs2cMHjw4zX0bGhri6OjI6dOnCQ4OptXweaBIbfn/EUEhJ/zceoyqNkcnf3G19qUllbD7xs9NTiIiIiKSXXx8fHj37l265XTSy3afmZI/35M7d26WLl3KwYMH8fT0VHvc89CvXHnxWRlTK9HOgZaR+i/fgkKOIj61Zfb7g8ioqCg8PDwYN24c1atXJ0+ePNjb23Py5Elq1qzJrl27ePfuHc+ePWP9+vU4ODhkWAVAEyQkJDBq1Cg6dOhAkyZNuHfvHtbW1j993X8T1tbWREZGphB/mRW2yXG2+/fvJyAggIEDVR90BwQEkC9fvnQt6umV+0mLRo0aMXLkSCIiIihUqBCQlG28VatWHDlyBBMTk1QhZnXq1MHFxYV58+Zx+fJltdaBJIut6AWgWURhK5IuyRbEH92YXFxcyJ8/P8OGDcvW/C9evCAhIeEft9jKZDJcXV2pXLkyL1684MyZM+zcuVPl6aC6SCQSVqxYwYABA3ByckozwUBaGZGTqVmzJo8ePaJZs2Ypyv6ostguXryY3LlzZ/ggUJfIyEhGjBiBtbU10dHRXL58me3bt6tdVqdgwYJE6BcGacZu3N/un0YW9YncDXqqvT+5QsAr4KPa/UVERET+Cdzc3DA3N6dOnTpptoeGhmJgYKAUAclkVdgCdO/eHVtbW4YPH662G+iem0FoSbN2oCskxvN2eZeknxVdCTu7DkVCrLJdgkDbMUswNTWlTZs27Nu3j0qVKrFlyxZevXpFYGAgW7ZsoUePHhQpUiRLe8gqgYGBylJ3q1at4tChQ6LoyALJdV2/9zLLrLCFJIHp4+NDuXLllPVk00NV4ihIErZRUVGpylilh5mZGVKplL///pu3b9+ipaXF3r17KVq0KIIgcPDgQa5fv55izNSpU6lbty49evRQW0SLFlvNIwpbkXQxNTVFX18/hbB99OgRbm5uzJgxI9sFpX+HjMjJNegmTpzI4MGD8fPzo0WLFhpdIzkGw9HRkR49enD8+PEU7YGBgZQqVSrNsTVr1kQmk1GhQgXu379PcHAwkL7FNiQkhC1btjBmzBgMDQ2ztW9BENi9ezfly5dXloG4d+8e9evXz9Q83+JlBKkRVyWPjSLyyh5y13FAyyBzsVJBYTFEx2cutkVERETkV5GYmMiBAwfo2rVrujXF0zuwzI6wlUgkrFmzhjdv3rBo0SK1xng9+5jpDMgAWkYm5KzVkTytR5G33Xj0S9vw7Z4HHw+4IPy/x46ABKGgBWvXriUgIIC3b9+yc+dO+vbtm+nEO5rkyJEjVK9enfDwcK5du8bw4cNF1+MskjdvXkqUKMGdO3eU15KFrbolfwCqVq1KTEwMnTp1yvC/hapSP5AkbAVBUJawyggPDw8aN26MkZERXbp0ISEhgZw5c3Ly5EkApYv/9+7WWlpa7N69m69fvzJgwIAMSz4qFAq+fPkiHp5oGFHYiqSLRCLBzMwshSvytGnTKFmyJE5OquNs1MHf3598+fJlK/lUVomNjWXSpElYW1uTmJjI9evXWbZsWaqTck0hlUrZunUr9vb2dOnSRekWJgiCSott5cqV0dXVJUeOHEilUjw8PIiOjiY6OjpNYevq6oqBgUG2remPHz/G1taWnj170rBhQ54+fcqYMWOylIjqTVg06rwiRV7ehVTfCGOrtpleQwBeh6n/wBQRERH5lZw/f56wsLB03ZAh6cBS08IWwMLCgnHjxrFgwQJevHihsq+6B5FpYdKoDyaN+mBoUR/DCg3J22Y0uRv0Iv7dY2KeXlX2i8+RE8feTpQpU+YfF4/x8fE4OzvTsWNHmjVrxr1795QWR5Gs82MCqeSD9sxYbF+9egWkds1Pi4wstslWUXXibL98+cKVK1ewt7fnwIED3L17l4kTJwJQvHhxjh07RkJCAjdu3ODIkSMpxhYtWpTNmzdz+PBhNm/erHKdqKgoBEEQLbYaRhS2IioxNzdXWmyvX7/OyZMnmT17tkYy7f5TiaO8vLyoUqUKy5cvZ9asWdy5c4eaNWv+9HW1tbXZvXs3LVq0oH379ly6dImwsDC+fv2arrDV0dGhWrVq+Pv7U7duXTw8PPj4Mcnt9scv+0+fPrF+/XqcnZ2zHPv87ds3Jk6cSNWqVQkJCcHT05P9+/dnyyUsQZax609ieDDfHnhiXKMd8q/hyCJDkUWGIsgTERRyZJGhyGNVJ4hSZx0RERGRf4K9e/dSvnx5qlatmm6fn2GxTWbatGkULFiQ4cOHq7QkqXsQqS7G1n+BRErc64fKa7/LQWSy6/GGDRtYvXo1Bw4c0Hhm5f8qVlZW3Lt3T1lVI7OuyAqFgl27dmFqapoqw/KPhIWFERERkaHFFlDLRfjs2bPIZDLs7OywsbFh6dKlrFixgsOHDwNJ8bTbtm0DYNCgQSQkJKQY37FjRwYMGMDIkSN58uRJuuski2zRYqtZRGEropJki60gCEyZMoXKlSvTtWtXjcz9q4VtREQEAwYMoHHjxhQqVIiHDx8ydepUdHR0ftkedHR0OHDgAPXr16dNmzYcO3YMSF3q53tq1qzJzZs3adOmDefPn1da0H+02C5fvhwtLS2cnZ0zvS9BEDhy5AgVKlTg77//xsXFBV9fX5o3b57puX5ERzvjrxn51zAQFESc30Dw+n7Kn4SQZ8jCgwle348vPm7ZXkdERETkVxMTE8OxY8cyTEYYGhqapidOwYIF+fLlC7GxsWmMUg8DAwP+/vtvPD09U1mZvkfTB4TSHLpI9Y2Rx6U8mPynDyIPHTpEtWrViIyM5Pr16wwbNuwftx7/m0jOyfH06VMg88LWy8uLFy9e0LRpUy5duqTyMCYgIABIv9QP/E88qmOx9fDwoFKlSspqGMOHD6dz5844OTkpsy87OjoycOBAwsLC0vSQW758OcWKFaNbt27pxrYni2zRYqtZxDdBEZWYmZnx7t07zp8/z6VLl5g7d2668UGZIT4+nufPn/+SjMiCIHD48GEqVKjAgQMHWL9+PZcuXaJ8+fI/fe200NPT49ixY9SoUUMpQkuUSL82YM2aNXnx4gX16tUjJiaGixcvAiktthEREaxevZqhQ4dmugTCy5cvsbOzo2PHjsqavdOmTUNXVzcLd5cSQRB4H/AIMog1yZGvGPk6TE31kyNvUbRy5iNfh6kYVUlfZEuA4nmyF1MsIiIi8jPw8PDg27dvdOvWTWU/VRbb5Pbs0K5dO9q2bcvIkSP5+jVtDxhNHxAq4mNQxESlypvwTx1ExsfHM2LECDp37kyLFi24e/cu1atX/0f28m+mevXqSCQSpbVVV1cXLS0ttYXthg0bsLCwwNHRkbdv3yrdktMiWWyWLp1+3Xt1XZEVCgWnTp2iTZs2ymsSiYTNmzdToEABOnXqpDxgWrduHcWLF2fz5s2pMiEbGhqyb98+njx5wqRJk9JcS7TY/hxEYSuiEnNzc4KDg5k8eTK1atWibdvMxz+mxbNnz5DL5T/dYhscHEyHDh3o1KkTNjY2PH78mEGDBmlEnGcHAwMD3N3dyZs3LxKJhKCg9MvVJLtJf4z4QjHLupy9G0CO/CXQN86t7LNq1SoSExMzVa8wLi6OWbNmUbFiRfz9/Tl27BgnT55UaT1Wh9DQUGbNmkXVqlXR1dWlmW0DEiPfqxyjZZALg7K1U/1I9XMi1dHHoGxtleV/iuYxwFBXO1v7FhEREfkZ7N27FysrK5Uv3oIgqIyxBbLtjgzw999/Ex4enm69zeJ5DMmK3VKQJaRZ4ufLtX2AgH6J/4nHf+og8uXLl9SpU4eNGzeydu1a9u/fL7oe/yRy5sxJuXLllMJWIpFgZGSklrANDQ3l6NGjDBo0iAYNGiCRSLh06VK6/QMCAjAzM8PAwCDdPsn/nTNyRb59+zafPn3Czs4u1f0cOnSIgIAARowYASTlTjl37hwSiYQ2bdrw/n3K95yqVauyePFiVq5cyalTp1KtJVpsfw7im6CISszMzJDL5dy9e5eLFy9qzFXH398f4KdZbBUKBZs2bWLChAkYGBhw6NAhOnTo8Fu5GhkbG9OwYUOOHDlC06ZN8fb2TmVFfh76ld1P4jEbsoVRV+XQcjIhQOFKjljOvUBRUwPqlszNph0HGTBggNp1/s6cOcPw4cMJCgpi3LhxTJ06NctZlGUyGceOHWPbtm1cv35d+WWtpaVFmTJlaNOmDbKqlTjxJCJLmTYzQksqwbaseqWHRERERH4lkZGRnDp1ioULF2bYLyEh4acL2+LFizN9+nSmT59Or169qFy5cop2Q11tipoa8OaHBFJRd0+iiItG/i0cgNgXt5B9/QxAzhptUcR94/02ZwwqNCRHnqRSgXGv7hH78g56JWugX7aWcq5/4iDy4MGD9O/fn/z583Pjxg2qVav2S9f/L2JtbZ0qM7I6wnb79u1oa2vTs2dPZT3bS5cupZu0NKPEUZCU48TIyChDi627uzumpqbUqlUrVVuVKlVYu3YtTk5O1K9fn969e1O6dGmcnZ1ZuXIlrVq14tq1aykEtrOzM2fPnqVPnz48fPhQWRcX/mexFQ9XNItosRVRSeHChYEkq6Gtra3G5vXz86NIkSI/xQXj2bNnNGrUiMGDB9O5c2ceP35Mx44dfytRm8y7d+9o3rw5+fPnp0mTJsqC5m/DY+i55SbNVlxm980gtHIVgB/O0QXgTXgMbneCMeyykPflOvI2g2yWb9++pVOnTrRq1YpixYrx6NEj5s+fn2lR+/jxY4YPH07p0qXR1dWlc+fOnDp1Ci0tLdq3b4+7uzsJCQk8efKEJUuWMLRZpSyJ2oKOCyncf63KPnKFQI9aRTM9t4iIiMjP5ujRoyQmJuLg4KCyX3pJAQHy5MmDlpaWRoQtwNixYylTpgxDhgxJs66nbbn8qerYRt08ypcru/l2P8nyFBNwjS9XdvPlym4Ucd+Q6hmiX7omca/vE+m9gwivbci+fCR3w17k7zgdiSTpdfNXH0TGxcUxbNgwunTpQqtWrbh7964oan8R1tbWPHjwQJlcydDQMMNyPwqFgo0bN9K5c2dMTU2BpHq2quJsMyr1k0zu3LkzFLYeHh60bNkSbe20D1769u2Lk5MTQ4YMwdfXF4A5c+ZgYmKCn58fffr0SfGZkkgkbNu2DalUSu/evVO0RUREkDNnTrS0tDLcu4j6iBZbEZXcuHEDgA4dOmh03p+ROCohIYElS5YwZ84czMzMuHDhAo0bN9boGpomMDAQR0dH1q1bR8OGDWnSpAkT1h9jpc97ZP8vBDMShML/C957IdE0Xe7NrHYV6WqdUuglJiayYsUKZs2ahbGxMXv37qVr165qi/2oqCh27dqFm5sb9+/fJyYmSUDr6upSvXp1OnXqxIABA5QPoh8pU8CY+qXzci0wTKNWWy2phDol81A6v7HG5hQRERHRFHv37qVRo0bKQ+L0SI6fTSt5lFQqpUCBAhoTtjo6OqxZs4YmTZqwc+dO+vTpk6Ld0aYo26+/TnHNbOjWDOfN23Zshn1+5UHkixcv6NKlC48fP2bdunUMGjTotzzg/rdiZWVFQkICvr6+1KhRQy2L7YULFwgMDGTnzp3Ka40aNWLZsmW8fv06VT4SQRB4/vw5PXr0yHA/JiYmKoVtcHAw9+/fZ/z48SrnWb16NXfu3KFz587cvn0bY2Nj5s+fz5AhQzh48CDly5dP4eqfP39+du7cSYsWLVi+fDljxyZ9TiIiIsT42p+AaLEVSZeEhAQWL16MlpaWRhIJfY+/v79G3ZBv3bqFlZUVLi4ujBo1Cl9f399e1CYkJPD27VtKlSpFwYIFuXDhApKKLVnsHUy8TJFpAShXCMTLFEw64stqr+fK697e3lhaWjJp0iT69+/P06dP6datm8oHvEKhwMvLi+7du1OoUCFy5crF8OHDuXbtGnny5KFv377cunWL2NhYbt++zcSJE9MVtcnMt6+MtlSzLxXaUgnz7Stn3FFERETkF/PhwwcuXryYYdIo+J+wTS+cRBMlf76ncePGdO/enfHjxxMeHp6iLfkg8kerbXbRkkqoXzrvLzmI3L9/P9WrV+fbt2/cuHGDwYMHi6L2F2NpaYm2trbSHVkdYbthwwYqVqxInTp1lNfq16+fbpzt+/fviY6OVttiqyrG9tSpU0ilUlq0aKFyHn19fQ4dOkRISAj9+/dHEAT69+9P+fLlKVmyJHPmzGHv3r0pxjRv3pyxY8cyefJk7t69CyS5IovxtZpHFLYi6bJp0yaCgoKUmZE1RXR0NIGBgRqx2EZHRzNmzBhq165Njhw5uH37NgsXLkRfX18DO/25vHnzBkEQlMmarr5XIFRJnZzrs/ty3ixsk+5PcpzT97ieDWDTBT969epFo0aNyJUrF3fv3mXFihXpxnO8ffsWFxcXqlSpgq6uLo0bN8bNzY1v375ha2vL1q1biY6OJigoiK1bt2JtbZ2pFwVzUwNmtdNsTPXsdhUxN00/YYSIiIjIP8XBgwfR0tKiY8eOGfYNDQ1FR0cnXQuOpoUtgKurKwkJCUyZMiVV23z7ykgEhcoyK5nlVxxExsXFMXToULp27YqdnR137tzB0tLyp64pkjb6+vpUqlRJmUAqI2H74cMHjh8/nsqy/n2c7Y+oU+rn+3lUWWzd3d2pW7duhof0AGXKlGHr1q0cOHCANWvWoK2tzeLFiwkMDKRJkyY4OTlx/fr1FGPmz59P5cqV6datG9++fRMttj8J0RVZJE2io6OZM2cOPXv25N27dxoVtk+ePEEQhGwLW09PTwYPHkxoaCiLFi1i1KhR6cZF/I4EBgYCSTVs34bH4HLCP81+xtVaolfc8oerAuGea9DOVQBt47xpjBKYe+Y5MVdusXnzZvr27ZsqE3RsbCzHjx9nx44dXL9+nS9fvgBJSZ9Kly5NmzZtGDx4sMpMnpmlq3VRQsK/8felV0klgLJxgj6+eTkcrMXYWhERkd+TvXv30rJlS7VelJNr2KZ3WFiwYEFl0kVNUahQIebOncvIkSPp27cvNjY2QJLHzvql8wj1uEOe1pmvi54eP/sg8vnz53Tp0oUnT56wYcMGBgwYIFpp/2GsrKxSCNsfvQO+Z9u2bWhra6fpVtyoUSMOHTqEIAgp/ps+f/4cqVSqsmRiMiYmJsr3rh+Ji4vj/PnzuLi4ZDhPMp06dcLZ2ZkxY8ZQs2ZN2rRpQ8OGDQkODsbKyor27dtz69YtZT1cHR0d3NzcqF69Os7OzqLF9ichWmxF0mTVqlWEh4czc+ZMzMzMePv2rcbmTn44W1hYZGn858+f6dWrFy1btqRUqVL4+voybty4P0rUQlLpAW1tbczMzJhy1FcZU/sjukUsMKpkm+JHO1cBhMR4DCs0Smd2CVItbRpP3Ey/fv2QSqUIgsC9e/cYOnQoJUqUwNDQkG7dunHmzBm0tbVp3749J06cIDY2lqdPn+Lq6qpRUQtJ8TD3dy/g64X16GhLkZA5a4CWVIKutpRFHSozzFazexMRERHRFIGBgdy4cUMtN2Qg3VI/yfwMiy3A0KFDsbS0ZMiQIcjlcuLj4+nRowfz58/HpWczxjZLsoRl13L7sw8i9+3bR/Xq1YmJieHmzZsMHDhQFLW/AdbW1vj5+RETE6PSYptcycLBwSFNsdewYUOCgoJ4/fp1iusBAQGUKFECHR2dDPeiyhX50qVLxMTEpCrzkxFLliyhevXqdOnShYiICFxdXXn69CkdOnTA0NCQtm3bpqgZXbZsWVatWsW2bdt4/vy5KGx/AqKwFUlFREQEixYtYuDAgZQoUQJzc3ONWmz9/PwoUaIERkZGmRonCAJ79+7FwsICd3d3tm7dyrlz5yhVqpTG9vYrCQwMpHjx4gR+juHKi8+ZiqmNfuwNSDCs0DDdPoJEys03X5ixdC21a9dGX1+fGjVqsG7dOkJCQqhWrRoLFizgw4cPfP78maNHj9K2bVty5MihgbtLm7Vr17J7925Wj+7O6RF1UYQ8Acgwliu5vU7JPJwf3VC01IqIiPzW7Nu3DwMDA9q1a6dW/9DQULWErSZdgyHJQ2fdunU8ePCAJUuW0KxZM44cOcKBAwcYN24c5WSvCDv1N9oSIdMxt7/iIDI2NpbBgwfTrVs32rZty507d6hatepPWUsk81hZWSGXy3nw4IFKYXvu3DlevXrFoEGD0mxPL85WnVI/yahyRXZ3d6d48eJUqFBBrbmS0dHR4cCBA3z9+pVevXpRvXp1unXrxpIlS9i/fz9v3ryhW7duyOVy5Zg+ffrg4ODAy5cvU3nSiWQf8TcqkgpXV1fi4+OZNm0akFTLNjg4OMUHMztkJXHUmzdvsLOzw9HRkcaNG/P48WP69u37R5/IBgYGUrJkSfbcDMrUC4MglxHz9Cq6ZhZo51Zdt1ZQyFl95iE3btwgX7589OnTBx8fH2JjY7l79y6TJk1Su/Ztdrl27RqjRo1i5MiRdOvWDa+TB3m7ayLr2xahp00xiuUx4MffggQolseAnjbFOD+6Abv62YgxtSIiIr89bm5u/PXXX2qXUkt2RU6PggULEh8frwwZ0SQ2NjZ07dqVqVOn4ufnx8WLF+ncuTMfPnygZ8+e1C0k4eJYW4rqxgJk7GmjSHpX+NkHkQEBAdSuXZsdO3awceNG9uzZg7GxmCH/d6Jy5cro6upy584dleV+NmzYQOXKldOsHwtJbsSWlpaphK26pX4gfWErCAIeHh7Y2dll6Z2yaNGi7N69Gw8PDxYvXsz8+fMJDw/n1KlT7N+/n9OnTzNhwgRlf4lEwvr165FIJJw9exaZTJbpNUXS58/y3RT56YSGhrJixQpGjhypLApvbm6OXC4nNDQ0w5IF6uDn54ejo6NafeVyOWvWrGHKlCnkzp2b48ePq30C/rsTGBhI7dq18Xr2MVPW2thX91DERqlwQ/4fEqkWxWq35tWhxf9oEfDQ0FA6d+6MjY0NS5YsQSaTsWDBAjp27EjLOpa0BGZSkeh4Ga/DokmQKdDRllI8jyGGuuLXlIiIyJ+Dr68vfn5+zJ8/X+0xoaGhNGyYvgdO8vP4w4cPGk84c+PGDc6dOwdAvXr1qFOnDgqFgp49eyKVStm5cyf58xoRtGMCodEKxq0/weUXnwkKi0khcSVA0TwG5E0IxX35RObdvfLTDiLd3NwYOHAghQsX5ubNm1SpUuWnrCOSPXLkyIGlpSW3b9/GwsIiTYvt+/fvOXHiBCtXrlQpLBs1asThw4eVcbZyuZyXL18ydOhQtfZiYmJCdHQ0iYmJKTzTHj9+zOvXr2nTpk3mb/D/adWqFVOnTmXq1KnUqlULZ2dnlixZwvPnz1mxYgXOzs5YWFjQv39/IElka2lp8e7dO2bPnp2iPJBI9hAttiIpmDdvHjly5EhxumRmZgagkTjbL1++8PbtW7USR/n7+1OvXj1GjhxJ7969efz48b9G1AqCQGBgIGYlShMUHpOpsdGPvUGqjYFFPbX6RyZqo62nntXgZyCTyXBwcEChUHDw4EFy5MiBm5sbgYGBTJ06NUVfQ11tKhbORbWiJlQsnEsUtSIiIn8cbm5umJiYZFg25HsyckVObtN0nO3Ro0extbWlXLlyrFixgpMnT3Lx4kUWL17MhQsX2LVrF/nz5+fZs2cEBgbSuEYF5rSvjPc4W/xmtsBjRD1qRV0h9/V1+M1sgfc4W3Y4t0E3PoJNmzZpdK+Q5Ho8aNAgunfvzl9//cWdO3dEUfubk5xAKj1X5K1bt6Kjo5OhwaNRo0Yp4myDgoJISEjIlMUWSGW19fDwwMDAgEaNGqk1T3rMmjWLhg0b0rVrV/r164eOjg4uLi4MHz6cIUOGMGTIELy8vIiOl3H/9SfIU5yWXfszf/FSLl++nK21Rf6HKGxFlLx584b169czYcKEFAHtycJWE3G2jx8/BlDpihwfH4+LiwvVqlUjMjKSK1eusGbNGnLmzJnt9X8XwsLC+Pr1K8aFSmQqfZIiIZbY5zfQL1ENLX31fh8C8DosbfefX8GkSZO4evUqBw4coFChQsjlcubPn0/btm3FMgwiIiL/KgRBYN++fXTq1EmthDYA3759IyYmJsMYW9CcsBUEgeXLl9OxY0fatWvH+fPnGTZsGPXq1aNv375MmzaNyZMn07RpUwDGjBkDwPLly5VzJB9EFjeGb++eKg8ijYyM6NmzJ5s3byYxMVEj+wV49uwZtWrVYufOnWzevJldu3aJrsd/ANbW1jx79gy5RBuZcUHuvg7DP+QL0fEy5HI5mzZtomvXrhl6IvwYZ5tc6iczMbaQWti6u7vTtGlT9PT0MnNbqdDS0mLv3r1IJBKGDBnC1KlT2bJlC48fP2b41HlU6OlCr4OvqDjTE/sNtyjUexmPi/2F2aj99DzwkkkH7/I89GvGC4moRBS2IkpmzpyJiYkJzs4p0/ubmpqir6+vEYutn58fUqmU8uXLp9nu4+ODpaUlCxYsYPLkyTx48IB69dSzTP5JJKecL1jYLFPjYgJuJGVDrtgoU+MSZIpM9dcUBw8eZOnSpbi6ulK/fn0ADh8+zNOnT1NZa0VERET+dG7evMmrV6/UzoYMSRmRAZXC1tjYGH19fY0IW7lczsiRIxkzZgzjx4/Hzc0NPT09pFIpixYtIigoiCJFijBz5kwAEhMTOXv2LCVLlkzTOpZW7OKQIUP48OEDx44dy/Z+Afbs2UONGjVISEjg1q1b9OvX74/OsfFf4XnoV+4KJSk8aCMrQ4pS2GkVHTfcwG7VVSrN9MRm7hmiyrTArlu/DOf6Mc72+fPn6OjoULSoejHcyQab7/9Ww8PDuXbtWqazIadHwYIF2b9/P1euXOHTp08Uq1idLuuu0Hr1Nb4VrIZWrjQ+4xIJEuP87LsbQrMVl+m55SZvM+nJJ/I/RGErAiTVlt25cyfTpk1Lla1YIpFgZmamEYutn58fZcqUSXUyFhUVpTwtzpUrF/fu3WPWrFno6upme83fkWRhW8y8SKbGRT++hERHH/0yNpkap6P96z/qT548oW/fvnTt2pWRI0cCSSn9586dS7NmzZQ1E0VERET+Lezdu5fChQvToEEDtceEhoYCqoWtRCKhYMGCyr5ZJTo6mg4dOrBmzRrWrVvHokWLlJlZBUFg2bJl6OrqEhoaqnzmL1iwAJlMxuTJk9OcM1nYfp+xuVKlStSrV49169Zla7+xsbEMGDCAHj16YG9vz+3bt6lcuXK25hT5+bwNj6Hnlps0W3EZj+dfyWFSGH5IDykAn+MgZ3U7xl6MVEvQNWrUKIXFtnTp0mhpaam1p2SL7fclfzw9PZHL5RoTtgANGjRg3rx5rDl9H4nddL4ZFAJAnpF7niTpc3gtMIymy73ZdztIY3v6LyEKWxEAZsyYgZmZGQMHDkyz3dzcXCMW27QyIp88eZIKFSqwY8cOVq5ciY+Pj1oxuH8yL168IFeuXGxZsRDULN8gj/lC3OsHGJSphTSH+i4zEqB4nl8bYxsVFYW9vT3Fixdn06ZNypN1d3d3fH19mT59+i/dj4iIiMjPRiaTceDAARwcHNR+2Yb/CVtVWZEh+7VsP3z4QKNGjbhw4QInT55k8ODBKdo3btzI4cOH2bJlC3nz5lUeSK5duxZ9fX369UvbqpY7d27kcnmq+MnBgwfj5eXF06dPs7Tfp0+fYmNjw549e9iyZQs7d+7MdJlAkV/PvttBNF3uzbXAMICMk2NKkz4r6gi67+NsM1PqB9J2Rfbw8MDS0pIiRTJnZMgIAyt78rR2RiZIkWhlLleIXCEQL1Mw6Ygvq72ea3Rf/wVEYSvC3bt3OXToEDNnzkzXQqpJi22yaA0NDcXBwYF27dpRpUoV/P39cXZ2ztQLwZ/E+/fvcXV1xcbGBhcXF758+cKmdauRRar3ohL95DIo5Jl2Qy6ax+CXJmESBAEnJydCQkI4cuSI8kVEEATmzJlDgwYNlG7JIiIiIv8WvLy8CA0NzZQbMiQ9C6VSKXny5FHZLzvC9vHjx9SqVYvg4GCuXLlC69atU7T7+voyatQohgwZgqOjIytXruTkyZMsXLiQ0NBQOnXqlK7rb3qxi506dSJv3rxs2LAh0/vdvXs3VlZWJCYmcuvWLZycnETX4z+A1V7PmXTEl3iZIlPVHkA9Qfd9nG1mSv1Akju/RCJR/p3K5XJOnz6drWzIabHvdhBLzyftP7t/s65nA9gvWm4zhZhyVISpU6dSvnx5evbsmW4fc3NzvLy8srXO58+fCQ0NpUKFCmzbto2xY8eipaXFnj176Nat27/uoRUXF8eZM2fYsWMHly9fJjw8XNmmo6ND4cKF2b59OxciTdlz622GD4Fo/0tIDXKjV9xS7T1oSSXYllVtBdA0S5cu5fDhwxw5ciTFQ+fs2bPcuXOHs2fP/tL9iIiIiPwK3NzcKF26NFZWVpkaFxoaSr58+TI81C1YsCDXr1/P9L68vLywt7fH3NycU6dOYW5unqI9OjoaBwcHypQpw9KlSwHo0KEDLVu2xMXFBYAlS5akO//3wvb7uXV1dXFycmLjxo3MmzcPA4OMS//ExMTg7OzMli1b6NWrF2vWrBGttH8I+24H4Xo2INV1RUIsUTePEB/yjIT3ASjivpGn9SiMqjRNdy7XswHkM9JNVQM5Oc724sWLvH79OlMWW6lUmiIe/MaNG4SHh2vUDflteAwuJ/zTbEv49IYvV/eS8OEF8uhIJDl0yZHHnJw2HTBQEV4244Q/dUrl/Wmls/5tiBbb/zje3t54enoyZ84ctLXTP+cwMzMjJCQEuVye5bX8/ZM+7CtWrMDJyYk2bdrw5MkTunfv/q8QtYIg8OjRI0aOHEmZMmUwMDDA3t6eY8eOkZCQQJMmTdi2bRsREREULFiQbt260bBhQ3rWKq7WyWahXksxd96NRKq+RVuuEOhRS73ECprAy8uLiRMnMmnSJOzt7ZXXk621NjY2yiybIiIiIv8W4uLiOHLkSJYOaTMq9ZNMViy2u3btokWLFtSsWZOrV6+mErUAo0aN4s2bN+zfvx99fX0gydI0f/58EhISyJ8/v8r9pWexBRg0aBBfvnxh//79Ge71yZMn2NjYsHfvXrZt28aOHTtEUfuHoErQKWKi+OLjRmLYW3LkL6H2nDNO+KcZc5vsTq9QKDJlsYWkv9XkGFt3d3fy5cuHtbV1puZQxZSjvsjSeZ+TR31EkRCLYeUmmDQdQK46DgB8OjyHrw/OpDunTCEw5aivxvb4b0e02P6HEQSBKVOmUKNGDTp27Kiyr7m5OXK5nNDQUAoXLpzptWQyGStWrACSXHLPnDmTqRp/vyufP3/Gzc2Nffv2ce/ePeLi4gDQ1tamYsWKtG/fnt69e1O6dGnlmISEBN6+fUvJkiUBKFPAmPql83ItMCzTrjuq0JJKqFMyD6Xz/5pyCO/evcPBwQFbW1vmzJmTos3b2xsfHx9Onjz5rzjEEBEREfme06dP8+XLl0y7IUNSVmR1he3Hjx+Ry+UZWneTDxNdXFxwcnJi/fr15MiRI1W/ffv2sXnzZrZs2YKFhUWKti1btgBJ5emePHmSqj0ZVcK2ZMmStGjRgnXr1tG3b99097tz506GDBlCsWLFuH37tsqSgCK/H6oEnZaRKWbDd6FlZEL8++d82DFarTmTBd2ufimtmQ0bNlSWncqMxRZSZvD28PCgdevWGgt/ex76lSsvPqfbrl/KGv1SKUW0cY02vN8+iqhbxzC2bJnmOLlC4MqLz7z4+PWXvc/9yYgW2/8wHh4eXLt2jXnz5mUoNpJr2WYlgdT9+/exsbHh2LFj5MmTBz8/vz9W1CYkJHD69Gk6d+5M/vz5yZcvH87Ozly7dg0TExN69OjBxYsXiY2NxdfXlzlz5qQQtZBUL1gQBKWwBZhvXxktCWonklIHbamE+fa/JntkfHw8nTp1Qk9PDzc3t1TW/7lz52JpaalRlx8RERGR3wU3NzcsLS3TFX+qyIzFVqFQ8Plz+i/PkPSccnJywsXFhTlz5rB58+Y0RW1gYCADBw6kW7duaYrOnTt3kjt3bkqUKMGwYcNSZD3+HlXCFpKSSN2+fZu7d++maouJicHJyYnevXvTpUsXUdT+gSQLuvQO5iXaOdAyMsn0vN8Luu9JjrPV0dGhUKFCmZrTxMSEyMhI3rx5g6+vr0bfSfbcDEJLmrmDe4lUC23jvCjiv6nspyWVsPuGGGurDqKw/Y+iUCiYOnUqDRs2pHnz5hn2T3ZfykwCqdjYWCZNmoS1tTWJiYlUrVqVZs2a/VGuRYIg8PTpU8aPH4+FhQX6+vq0bt2aQ4cOERMTg62tLZs2bSIiIoKQkBB27dqFra2tSrfu5FI/3wvbuLBgEq7vBg1aM2e3q/jLYjLGjBnD/fv3OXToEPny5UvRdv36dS5cuMC0adNEa62IiMi/jq9fv3Ly5MksWWshSdhmlBEZkoQtoNId+cuXL7Ru3Zo9e/awa9eudL93ExIS6Nq1K/ny5WP9+vWp+hw6dIivX7/Sr18/1qxZg5eXF3v37k1zTT09PfT09NIVtnZ2dpiZmbF+/foU1x8/fkzNmjXZv38/27dvZ9u2bRga/toM/iLZJyuCTl3SEnSmpqaYmppiZGSU6XeKZFdkDw8PtLW11Xr/VRevZx/V8rpTJMQhj/lCYsR7om4dIzbwLnrFqqocI1cIeAV81NRW/9WIrsj/UQ4cOMCjR4+4evWqWl8MJiYm6Ovrq22x9fLyYuDAgQQFBTFr1izGjRtHoUKF6Ny5c3a3/tP58uUL+/btY+/evdy5c4eYmKQYDy0tLcqXL0+7du1wcnLKtAtMMoGBgWhraysPC+7fv0/Lli2TLL41x7D5VvbqFAKMb14uVdKFn8XOnTtZu3YtGzZsoGbNmqna586di4WFRYqYWxEREZF/C8eOHSMuLo6uXbtmaXxmLLaQJGyrVk39IhwUFETr1q0JDg7m3LlzNGzYMN25pk6dyv3797l27Ro5c+ZM1e7i4oJUKmX27NkYGBjQuXNnxo4di52dndJC+z3fu3j+iLa2NgMHDmThwoW4urqSK1cuduzYwdChQylevDi3b9+mQoUKGd6/yO+JuoIuKyQLupmktOLr6+unSMipLrlz5yY4OBgPDw/q169Prly5NLLPb/EygjKowZtMxMXNfEuOqZVIMShbG9PmQzIcFxQWQ3S87JdWufgTEX87/0ESExOZPn06dnZ21K1bV60xEokEc3PzDC22ERERTJgwgc2bN1O/fn1OnjxJ+fLlef/+PREREb+li5FcLufSpUts2bIFLy+vFKfhBQsW5K+//sLJyYlGjRqptMSqS2BgIMWLF0dLSwtvb2/atWtH2bJlOXXqFPny5aO0WRAuJ/yRKYRMPSwEuYwc2lrMs6/yy0TtgwcPGDRoEH379mXAgAGp2u/du8epU6fYvXs3UqnoICIiIvLvw83NjXr16lG0aOa/d+Pi4vjy5Ytawja5T1oW23v37mFnZ4eenh7Xrl1T6RJ95swZXF1dcXV1TTNxzrt373j8+DENGzZUZjJevnw55cuXZ/r06axatSrVGFXCFqB///7Mnj2bTZs24e/vz/bt2+nbty+rVq0SrbR/MJkRdFklLUEXExNDTEwMr1+/plixYigUChQKBXK5XOX/amlpERoayoMHDxgzZgwBAQHK9ozGqvrfoK8KBPTUup+c1n9hUL4e8q9hxDy9iiAoQJ6Y4TgBeB0WTcXCmhHj/1ZEYfsfZPv27bx48YJDhw5lapyZmVm6FltBEDhy5AjDhw8nJiaG9evXM2DAAKWY8fPzA1DWsP2nefXqFZs3b+b48eM8e/YMmUwGgIGBAQ0aNKBbt2507do1zZPp7PLy5UtKlizJ8ePHcXBwoF69ehw9ehRj46SkAF2ti1K3VF5G7r7BvfexSBFQkL5VXUsqQa4Q0I18g8W3BzhYa7YmW3pERETQsWNHLCwsWLNmTZqW/3nz5lG6dGkcHBx+yZ5EREREfiWfPn3i7Nmz/P3331ka//FjknuhOsJWV1cXExOTVMLWw8MDBwcHKlSowMmTJ1XO9f79e3r16kWrVq0YPTrtJD5jx44FwNXVVXmtSJEizJo1i/Hjx9OnTx9q1KiRYkxGwrZQoUI0btyYqVOnoqWlxY4dO+jVq1dGtyzym/MmLJqfY6v9HwJQrJIViR9fKYVkbGwskBTSlV7sd0YsWLCABQsWaGSPOoXKUqj3MrX65shjTo48SR57RpWbELpvOh8PzaZgr2UZelAmyBTZ3uu/HVHY/seIjY1l1qxZdO3aNU1XJlWYmZnx4sWLVNeDg4MZPnw4x44d46+//mLNmjUUKVIkRR8/Pz/09PQoUUL9VO+aJDo6moMHD7Jr1y5u377N169JyQi0tLQoU6YMbdq0oX///pQrV+6n7yUwMBATExM6dOiAvb09e/bsQVdXN0Ufc1MDir925+rJCwxavIvLL8MICotJ8QCRAEXzGGBbNj89ahVl7/q7LF16mMTEDWkmCtEkCoWCHj16EBERwfnz55UlIr7Hz8+PI0eOsGXLFo1YukVERER+N5IPiLMaZpMZYQupS/6sW7eO4cOH07ZtW/bu3auyVqxcLqdHjx5oa2uzffv2NL1o5HI5x48fp3Dhwqnq8Y4YMYLt27czZMgQrl+/niKbbEbCdvv27Xh7e5OQkMDOnTvp2bOnWvcr8nvzq4RW7779KKybgJaWFu/fv2fx4sXkz5+fUqVK4eTkhJaWFlKpNMP/9fDwYP369RQqVIhdu3ahra2d4Th15n7+KZauOx5m6d4Mytcl/MxqZOHB5MhjprLvpQvnqdb39w/p+ycR3zb/Y6xbt44PHz4we/bsTI81NzfHy8tL+W+FQsGmTZuYMGEC+vr6HDx4kI4dO6Z54uTv70+FChU0loCSdZkAAQAASURBVFY9IxQKBdeuXWPTpk1cuHCB4OBgZVuBAgVo2bIlffv2pWnTpj9dBH5PcjKq+Ph4Bg4cyNq1a9P8ncTFxbFjxw769evHHPsqAETHy3gdFk2CTIGOtpTieQxTuOa0adMGFxcXrl69iq2t7U+9j7lz53L69GlOnTqV7mHF/PnzKVq0qPgCIyIi8q/Fzc2NZs2apUqapy6hoUk5FTIrbBUKBRMnTsTV1ZWRI0eydOnSDJ+vixYtwsvLi/Pnz6ebrGrt2rXEx8czatSoVG05cuRg3bp11KtXj82bNzNo0CBlW+7cuZUi/Xuio6MZNmwYO3bswMnJiStXrnDq1CnxufAvQUf714QYOfXppXTBPXjwIAD29vacOXOG/v37qz1PeHg469atw97ensaNG2tsf3pGMiQ8zJL1WkiMB0ARH51BR4GZ44Zhb2tN8eLFs7DSfwMx6O0/RFRUFPPnz89y4iMzMzNCQkKQy+U8e/aMRo0aMXjwYDp37syTJ0/o1KlTum4Ufn5+P90NOTg4mJkzZ1K1alX09PSoX78+O3fuJDw8nLp167Jq1SrCw8P58OEDBw4coFWrVr9c1Do7OxMfH0/Hjh1Zv359ui8ihw4dIjw8nIEDByqvGepqU7FwLqoVNaFi4VypEghUq1aNwoUL4+7u/lPv4/Tp08ycOZNZs2bRsmXaddcCAgLYv38/kyZN+qW/YxEREZFfRVBQEFeuXKF79+5ZniNZ2KorjAsWLEhwcDAODg4sXbqUFStWsGLFigxFrY+PDzNmzGDq1KkqX+iXLFlCjhw50nVTrlu3Lk5OTkyaNCmFkE3LYuvv74+1tTWHDh1i165dbNmyhSFDhnD48GHlfYv82RTPY6giUEozSP5/nWSeP3+OqakprVq14s2bN7x+/VrtuZL/RuvXr6/RPRrqalM0gyoU8ujIVNcEuYxov4tItHXJkVd1jL65qT4mxgZ0795dGT4nkhpR2P6HWL58Od++fWPGjBlZGm9ubo5cLmfKlClUrVqVkJAQLly4wObNmzExSb9GmSAI+Pv7azxxVFxcHHv27KFFixbkzp0bMzMzZs2ahZ+fHyVKlGDUqFH4+/sTHR3N1atXGT58uMp9/kxkMhkDBgxg9erVQFJGSlWxFBs2bKBJkyapauCqQiKR0Lp1azw8PLK93/R49eoVjo6OtG7dmqlTp6bbb8GCBRQoUCDN2ogiIiIi/wb279+Pnp4e7du3z/IcoaGhmJqaqn0AmCtXLu7cuYOHhwdHjhxh5MiRGY4JDw+ne/fu1KpVCxcXl3T7PXr0iLdv32JnZ6cyfGTRokVIpVImTJigvJZcRgWSnvnbtm3D2toaLS0t7ty5Q48ePQDo3bs3WlpabN26Va37Ffm9UUfQAUTdPUmkzz6+PToHQOyLW0T67CPSZx+KONWWyjy6CrSE/wm5gIAAypYtq6xn6+3trfZ+k/O9lC9fXu0x6mJT1AiJCptt2JnVhLpNIfLqXr4+9CTSZx8hW4eTEPqS3A16INVJHdKVjASBJuULsnfvXm7dupUlr8v/CqKw/Y/w+fNnli5dyrBhwzAzU+3Dnx7JDy1XV1dGjRqFr6+vWq4cQUFBfPv2LdsWW0EQuH37Nv3796dYsWIYGBjQo0cPzp49i46ODvb29pw8eZK4uDiePXvG8uXLqVChwj9eOzUuLo4uXbooY5MgZQ3bH/H39+fq1asp3LzUpU2bNjx79oznz59neb/pERsbS8eOHTExMWHXrl3pZjl+/fo1u3btYsKECejpqZclUERERORPw83NjTZt2igT/2UFdUv9QJKl6uDBg8TFxXHp0iW1BLUgCPTv35+vX7+yd+9elYI1OWnUsmWqk+DkzZuXhQsXsmPHDi5fvgz8z2L77ds3evfujZOTE46Ojty8eTOFiDA1NaVr165s3LgRuVyuxl2L/O7YlsufYR3bqJtH+XJlN9/unwIgJuAaX67s5suV3SjivqU/UCEn0MedggUL0r9/fy5dusSzZ88oU6YMpqamVK1alUuXLqm915s3bwJJLvKa4t27d4waNYp1Yx0RVNivDS3qg0TK1/unCPdcy9fbx9A2zku+jtPJWVN1OUQBCcYfH1CnTh1cXFyYN2+e8rMnkhIxxvY/wsKFCxEEgUmTJmV6bHR0NNOnT2fFihXKucaPH6/2+OxkRP748SObNm3iyJEj+Pn5kZCQACQVhLexsaFLly707t0bU1PTTM/9K4iKiqJ9+/Zcv36do0eP4uvri6mpqcraaRs2bCB//vz89ddfmV6vSZMm6Ojo4OHhkWaMVFYRBIGhQ4fy5MkTbty4odLyvXDhQkxNTdMs/yMiIiLyb+Dp06fcv3+f6dOnZ2sedYWtj48Pf/31Fzo6OgiCQJUqVdSaf926dRw9epSjR4+qLEcUFxeHl5cXZcuWVSvJY79+/diyZQtDhw7l/v375M6dmy9fvmBlZcW7d+/YvXs3jo6OaY4dPHgw27dvx9PTk9atW6t1HyK/L442Rdl+/bXKPmZDs2ihl2qxb84wrnjkZ8+ePWzZsgWpVIq2tja+vr40atSIY8eOqTXV58+fefToEYDKRGfqEhgYyKJFi9i+fTuGhoaMGzmSJwVycfttVJqlGg0rNMSwQvq1pdNDSyohZ+wHpgwbQi2L4kyZMoXz58/j6OjIw4cPf9v3338K0WL7H+Ddu3esXr2asWPHZjrBhaenJ5UqVWL9+vUsWrQIfX39TMdM+vv7Y2xsjLm5eYZ9ExMTOXjwIHZ2dpiamlKgQAGmTZvGgwcPMDc3Z9iwYfj6+hITE8P169cZPXr0b/uh/vjxI7a2tty7d4+zZ8/Stm1bAgMDKVWqVLpjYmJi2LlzJ05OTujo6GR6TSMjI2xtbTXujrxx40a2b9/Oxo0bVWbTfvfuHdu2bWPMmDFibUIREZF/LW5ubuTMmZNWrVpla56PHz9mKGwPHDhAkyZNqFSpkrKskDoxqo8ePWLMmDEMGzYsQ+vu7NmzkcvlTJs2Ta19S6VS1q1bx5MnT1ixYgX37t1T1gm9e/duuqIWoGbNmlSrVo1169aptZbI702ZAsbUL503Q6ttZtGSSqhfOi/Na1Vhzpw5vHz5ktOnT6NQKHj48CFVqlTh6NGjvH79muvXr2c43+nTp5WlgbIjbJ88eUKvXr0oW7Ysx44dY86cObx58wYXFxeWdKmOtoZ/D9pSCYcmdqRWrVq0b9+eoKAgdu/eTXR0NAMGDMhyuaN/K6Kw/Q8wZ84cDA0NGTNmjNpjPn/+TK9evWjZsiUlS5bE19eX8ePHY25uzrt37zK1vp+fHxUrVkzXJfjhw4cMGTKEkiVLoqurS5cuXTh16hRSqZR27dpx9OhR4uLiePHiBatXr6ZSpUr/uHtxRrx584Z69eoRHByMt7e3MlFBcg3b9Dhw4ABRUVHZsnba2dnh7e2tLGmUXW7evMmIESMYNmxYhpksXV1dMTQ0ZOjQoRpZW0REROR3QxAE9u7dS4cOHbIdbqHKYisIAosXL8bBwYFOnTrh6elJ2bJlAVLVsv2R6OhoHBwcKFeuXIp6tOmxceNGDA0NlbGw6lCtWjUGDRrElClT2LhxIwBHjx7NsGyeRCJhyJAheHh48ObNG7XXE/l9mW9f+acIuvn2lZX/lkgkSkPG+fPnOXHiBJaWlgDUqVOHxo0bs2XLlnRFq4eHB9bW1uTIkUMZWpcZHjx4QOfOnalYsSJeXl4sX76cV69eMWHCBGU4grmpAbPaaTafzOx2FSlVIBeHDx8mZ86ctG3blly5crF582aOHDnCpk2bNLren44obP8FRMfL8A/5wv2gCPxDvhAd/78g+xcvXrBlyxYmT55Mzpw5M5wr+YFtYWGBu7s7W7du5fz580oro5mZGW/fvs3U/pKFbTIREREsXrwYGxsb9PX1sbS0ZP369YSEhGBlZcWiRYv4/Pkznz9/5vjx47Rv3/6Pyqzr7+9PnTp1kMvl+Pj4pLBwBgYGqhS2GzZsoHnz5ir7ZISdnR2JiYmcO3cuy3Mk8+nTJzp16kSNGjUyjLsKDQ1lw4YNjBw5Uq2/NREREZE/kbt37/LixYtsZUNOJjQ0NM3SOzKZjKFDhzJx4kSmTZvGrl270NXVVYrgjISts7MzQUFBygRXqjh//jxhYWF069YtU4fGvr6+nDt3DrlcToUKFYAkl2Z16N69O8bGxkpBLPJn87MEnfkPiakCAgIAsLCwoG3bthw7dozKlStTr149pFIpAwYMoGDBgnTu3Jljx44RH59USicxMZEzZ85gZ2eXYc3lH7lx4wZt27alWrVq3Lt3jw0bNvDixQtGjBiRZt3ortZFGde8bNZv/DsiL+8i4WlScqy8efPi7u7Ou3fv6Nq1K+3atWPgwIGMGjWKJ0+eaGS9fwNijO0fyvPQr+y5GYTXs48EhcekyMMmAYqaGmBbLj8PD6+mQIECDBs2LMM537x5w5AhQzh9+jRdunRh5cqVFCxYMEUfc3PzTCUmksvlPH78mGrVqtG+fXt8fHz4/PkzkOTKVKxYMZo3b87gwYOpWrXqb2+JzYjr169jZ2eHubk5Z86coVChQsq2hIQE3r59m65offToETdu3ODIkSPZ2kPJkiWpUKEC7u7udOjQIcvzyGQyunbtSkJCAgcPHszQNXrZsmXkyJEDZ2fnLK8pIiIi8rvj5uZG/vz5s10vXCaTERYWlspi+/XrVxwcHDh37hxbtmzByclJ2ZY3b16kUqlKYbt37162bt3Ktm3b1Mr+OnnyZCQSCYsWLVJr34IgsGXLFkaMGEG5cuVYunSp0iNMXcFgaGhIr1692LJlCy4uLlkKvRH5vehqXZTP3+JxPRsAggDZeJ8b37wcDtapY8KfP39OoUKFUiRsa9y4McePH+fVq1cEBwezb98+du/ejb29PSYmJnTp0oUKFSrw5csX2rRpw549ezL8OxUEAW9vb+bOncuFCxewsLBg165ddO3aVWUCtmSG25Yhr5EuLif8kSkUyBXq37uWVIK2VMLMNhU4/9GQ3r17k5iYiJOTExYWFhw8eJBWrVoxbtw4li1bxuXLl+nWrRs3btwQE3YiWmz/ON6Gx9Bzy02arbjMrptvePODqAUQgDfhMey88Zr7hdtQZuDffI5N3wdfLpfz999/U7FiRR49esTx48fZv39/KlEL6ltsnzx5wogRIyhVqhTx8fFs3bqV48ePI5fLsbOz48CBA8TFxREYGMj69euxtLT840Wtp6cnTZs2pWLFinh7e6cQtZB0cCAIQrrCdsOGDRQqVIg2bdpkey92dnacOnUKhSIT36Y/MH36dLy9vdm/f3+GmbTDwsJYu3btP1pSSURERORnI5fL2bdvHw4ODmq94Kri06dPCIKQQtiGhITQsGFDrl69ioeHRwpRC6ClpUX+/PnTFbb/x95Zx0WVf///OaQCIiAIKDbqqmutnWArYgfYHdi6Bhar2N2B2AXYAQIqioXduCoqEoqCgtI99/cHX+YjUgOMqPu7z8fDxz723nfNMDP3fd7nnNd5/fo1Y8eOZcCAAQwZMiTXNURERHD//n3q1asnl15FdHQ0AwcOZNSoUQwZMoSbN28yZcoUWbpNXurTjh07ltDQULnFf0R+fSa0qkwjyWuElCSU87ilU5aAuooSK3rWZHyrrEsdppf6+RZzc3MCAgIICAigdOnS/P333zx8+BBfX1/Gjh2Lu7s7kydPRllZmWPHjlGkSJFsDVtBEHB3d6d58+a0atWK8PBwjh07hq+vLwMHDszTd966QVkuTjWjfNEk2evL8fX/Xyh304oluDjVjH6NyuHo6MjYsWMZMWKELCe9Xbt2bNy4kQ0bNnDw4EGcnZ15/vx5vsRh/4uIhu1vhPPdINquu4KPfzhAlqpr35J+OzipKG3XXcH5blCmNs+ePaN58+ZMnjyZIUOG8O+//9K1a9dsxzQxMSEkJCSTTH9UVBTr16+nadOmaGhoUL16dTZv3sz79+8BmDlzJmFhYURERODq6kqfPn1+q/Di3HB2dqZLly60atUKT09PdHR0MrXx9/cHsi71Exsby8GDBxkxYoRC3hdLS0tCQ0O5f/9+vvqfPHmS5cuXs3z5cszNzXNtv2HDBlJTU5k6dWq+5hMRERH5Hbh27RohISH069evwGOlG4Hphu3Tp09p1KgRnz594saNG7Rv3z7LfkZGRlkakElJSVhbW2NoaMi2bdsyHBZnl7I0a9YsBEFg6dKlua73yZMn1K9fnzNnzuDk5MT27dspWrQoEomELVu2AHDo0CG5X3+NGjVo0aKFKCL1H+LZs2ecWDWdPpovaVpJHyBXUal0g0836RMXp5pl6alNx8/Pj8qVK2e41rJlyyzr2daoUYOlS5fy9u1bypYti6mpKdu3b+fp06ccO3aMNWvWEBISAoBUKuXEiRPUr18fCwsLpFIprq6uPHjwgF69emVb3jA3yuhpkOixhrK++xnUuDzlSmhkKggkAcqV0GBQo3JcnNqSAyMayUKwlZSU2LJlC5MnT2bcuHFs2LABgHHjxjFhwgTGjx/Pp0+fWLlyJRs2bODcuXP5Wud/CTEU+Tdh8+VXaeEd+SBVKpAqFbA98ZTPMYlMaFWZxMREli5dyrJly6hUqRLXrl2jefPmuY5VpkwZUlNT+fDhA0+fPmXXrl1cu3aNsLAwIC25v2zZsrRr144xY8bg7u7O+vXrWb58+W/vkc2OdE/lwIED2bVrV7aGqb+/PyoqKll6P52dnYmOjmbkyJEKWVPTpk3R0dHB1dWVBg0a5Knvy5cvGTJkCL1795bVNcyJyMhINm7cyNixY/Osui0iIiLyO+Hk5ET58uVp3LhxgcdKf24aGhpy4cIFevXqRaVKlXBzc6NUqVLZ9jMyMsrSYzt79myePHnCzZs3KVasWK4pS2X0NHj5Xh39SjVp165dtvMJgoCjoyOTJ0+matWqPHjwIJNxUbNmTVRUVHB1deXVq1eZ7meHjY0N/fv35/nz51SrVk2uPiK/JlKplLFjx1KxYkWWzJmGurr6/z6DfmEEhWeRNldCg1ZVSpLge4G1C2YindgK9MplOb4gCLx69Qpra+sM1/X09KhVqxbe3t5ZRim8ffuWoKAgTpw4gYWFBa1bt+bVq1fMmTOH6dOnU6NGDb58+UJISAitW7fGy8uLVq1aKWTP+u+//3Ljxg2OHDlCn641WEANYhNT6Gw9lCIaWqxZtYLyJTTRVM/eHJNIJKxbtw51dXWmTJlCYmIiM2fOZN26dbx69Yo+ffpw8+ZNLCwsGDp0KI8fP84UMfj/E6LH9jfA+W5Qvo3a71l93o8lTpeoU6cOS5cuxdbWlocPH8pl1L558wZnZ2cAypUrh4WFBcePHycpKYkOHTpw8OBBEhISCAgIwNHRkfr16/Ps2bMcFZF/ZwRBYOHChYwfP57Jkyezd+/eHL2t/v7+lCtXLstQFgcHBzp16kS5cln/oOcVFRUVOnbsmOeyPzExMfTs2ZPSpUuze/duuf5uW7ZsISEhgenTp+d3uSIiIiK/POl6A3kVWcqOdK+ru7s7FhYWNG/enKtXr+Zo1ELWhq2bmxtr165l5cqVlKxQTa6UpaCIOIrUbI9mn2UM2nWb4Ii4THNFR0czYMAAxowZw7Bhw7h161a2Rqu+vj7FihVjwoQJcpcg6dmzJwYGBmzfvl2u9iK/Lnv27OH69ets374ddXV1IK0U0IKuNbgyvRW+CzrQkYdILqzGbWJzfBd04Mr0VizoWoN5k0aio6PD4sWLsx0/NDSU6OjoLD9/5ubmeHt7Z9nPzc0NNTU12rZti7q6OjVr1sTExIRVq1ZhYGDAs2fPCAkJQU1NDQMDA2JjY0lOTlbIe+Lo6IiBgQHdunWTXdNUV0Ez6QtFYj9So1TxHI3adCQSCcuXL2f+/PnMmjWLRYsWoaKigouLC8bGxnTp0oU1a9agpKTEkCFDCpSG9rsjGra/OMERcfxz5lmObRI/vibsmD3B660JWt2LkJ3jiLp3JuvGgoDD/a9oGpbjwYMH2NvbZ5tsHhcXx9atW2nRogVaWlqYmppy8OBBIM1zu2DBAj58+MCXL1/w8PBgwIABmQQgnj17xp9//pn3F/6LI5VKmTRpEgsWLGDJkiWsXbs211CV7GrYPnjwgLt37zJmzBiFrtHS0pL79+/z4cMHudoLgsDIkSNlJ5vfijNkR0xMDGvXrmXEiBG5bsZEREREfmfOnz/Ply9fFBKGDGnKxmpqatjY2DBixAjOnDkj1+/u94ZtSEgIQ4cOpXPnzhg27ZmnlCWJkjIAPv7hmVKWHj9+TL169XB1dcXFxYWtW7fmKE6jq6uLmZkZ58+f59ixY7m+DgB1dXWGDx/Ovn37iIvLbFiL/B58+vSJmTNnMmjQoGxF1TTVVSipmkRK6OtMBp2Wlha2trbs2bOHN2/eZNk/Xbj0+xxb+F+ebVblo9zc3DAzM6NYsWLEx8fz5s0bnjx5wpQpU2jZsiUPHjwgMDAQe3t7nj17RteuXSlVqhTjx4/Hx8cn33ViExIS2L9/P0OHDs20N1ZWVs6z8SmRSLC3t2fx4sXY2dkxb948tLW1cXV15cuXL9jY2LBr1y4uXLiQaxWL/zKiYfuLM+fkU1JyeDDFv33AxwPTSY2LpHhTa3TbjqKoaUNSoz9n3UEiQVlVjT8GLqBmzZoZbgmCgJeXF9bW1hgbG6Opqcn48eO5ceMGenp6DBkyBB8fH4oWLcqUKVP4559/shSYSicpKYkXL1785wzbpKQkBg4cyJYtW3BwcGDOnDlynd5nV8PWwcGB0qVLY2FhodB1duzYESUlJblzLjZs2ICLiwt79uyROyTMwcGByMhIZs2aVZClioiIiPzyODk58eeff2Z6duaHxMRE9uzZQ1JSEitWrGDbtm1yC9OkG7aCIJCamsrAgQNRU1OjxdglzD75lMQUaa4G7fekSgUSU6TYnnjKpkuvcHBwoFGjRmhpafHgwQP69u2b6xg6Ojro6enRvXt3pkyZInct9TFjxhAVFSWLCBP5/Zg+fTqCIORaM1lVVTVbb6iNjQ0GBgYsWrQoy/t+fn5IJJIs91HZ5dnGxMTg7e1N27ZtWbVqFRUqVMDLywtlZWV8fX05duwYdevWpWzZssyaNYunT5/y+PFjhg8fzunTp2nWrBmmpqbY2dnx8uVLOd+NNE6cOEFERESWKWZKSkqZtGrkZe7cuaxatYolS5Ywc+ZMKlSowMmTJ7lx4wanTp3i77//Zs6cOfnWWPndEQ3bX5hXodFce/052weUNDGOz65rKVqpAUaDVqHdsDvF6nRE13wouq2GZ9kHQEDC9TfhvA6LJjAwkFmzZlGjRg1ZqIaLiwvx8fG0adOGPXv2kJCQQFBQEHv37qVJkyaUKVNGLmXkV69ekZKSkqGG7e9ObGws3bp14/jx4xw5coTRo0fL1U8QhCxr2EZHR3P48GFGjhxZYIXN7ylRogRNmjTB1dU117bXrl1j+vTpTJ8+nd69e8s1fnx8PKtWrWLIkCGULZu92IOIiIjI705sbCynTp1SiLf2y5cvdOzYkZcvX1KlShVmzpyZp9BmIyMj4uPjiY6OZtmyZXh7ezN6xV623XhX4LUBrLngx/StxxkxYgQ+Pj6YmmatUPs96fVB169fz9evX/nnn3/k6lehQgU6duwoikj9ply+fJn9+/ezatWqLGsyf4uamlq2hm3RokWZM2cOBw4cyNKIfPXqFeXKlcsyauDbPNtvOXXqFElJSSxdupS5c+fStWtXFi5cSEpKSrYH+LVq1WLlypUEBgZy6dIlWrVqxYYNG/jjjz9o0KABGzZskEv9e8eOHZibm2fpYc6Px/Zbpk+fzoYNG1i9ejVTpkyhefPmODo6snPnTkqWLEmtWrXo168fMTEx+Z7jd0U0bH9hDt0OylFNLvZfb6SxX9FtORiJRAlpUgKCIOcXRZDSfNgcypcvz8qVK3n16hXVqlVj7ty5vHv3jq9fv3Lx4sUsQyhMTEx49y73B+izZ2kh1P8VwzYiIoJ27dpx7do13Nzc5DYAIa0cTnR0dCbD9vDhw8TFxSlMNOp7OnfuzIULF2RFyrMiJCSEPn360KJFC5YtWyb32Lt27eLTp0+ixLyIiMh/nrNnzxIXF5dJuCavvH37lqZNm/LkyRPq1auXr4im9EgpV1dX/vnnH6bMW8Thl2kqx9KkeL5eO0Soix3B660JXG5JzJOLWY4jCFKiH5wjZPdEglb3JHh9Pz4enkNiqD+GnSdhu2hVnupi6ujo8OXLF8qVK4ednR0bN27k8ePHcvW1sbHh3r173Lt3T+75RH4+iYmJjB07lubNmzNs2LBc26uqqpKUlJTt/VGjRlGqVCkWLlyY6V5Wisjf8m2e7adPn5gzZw7Dhw9HIpEwePBg3rx5w44dO6hSpQpSqTRXo09ZWZlWrVqxc+dOQkNDOXr0KCYmJsyYMYPSpUvTsWNHDh48mOU4fn5+XLlyJVvnh7Kycr49tulMmjSJ7du3s3HjRmxsbBg0aBCzZs3C1taWUaNGERISwsSJEws0x++IaNj+wlx+GZZjOFFCwCMk6hqkxITzfscYgtf2JnhtX8I9tyCkZP/DAYBECfXyfzFgwACuXr1KYmIiT548YfHixZQuXTrHrvJ6bH19fTEyMkJfXz/Xtr8679+/p2XLlvj5+XH58mXatm2bp/5ZlfoRBAEHBwcsLS1zrRObXywtLYmNjc0UnpNOUlISffr0QUVFBWdnZ7m9xunhc/3795f7NF9ERETkd+Xw4cM0btw42zrk8nD37l0aN25McnIyt27dIjk5OUMNW3lJN2ynTJlCs2bNCC3bRpayJI2LIvKGE8nhwaiWrJDjOOFuG4i46ICakSm67cZQvJk1KtoGSOMiESRKzDn5NE/rSvfYAkydOpUqVaowbtw4uTxTFhYWlClTRvTa/mYsX74cf39/tm/fLldJnJxCkQGKFCnC3LlzcXZ2ljlH0smqhu23mJmZ8fbtW0aMGEG5cuXYuHEjampqjBkzho0bN1KmTBkAWTnGL1++yPEK/7eu3r17c/LkST5+/MiWLVuIi4tj0KBBGBoaMmDAANzd3UlJSTtgcnR0RE9Pjx49emQ5XkFCkb9lzJgx7N69mx07djBy5EgWLVpEt27dmD59OrNmzWLv3r3/34X4i4btL0pMYgpBWSgUfktyRAhIU/l0fBFFK/yFQY85aNVqR8xDdz67rc91DiXtkjjs2kuLFi3yFAYlr8fW19f3P+GtffXqFc2aNSMyMpLr16/nuXwOZG3Y3rt3j4cPHypcNOpb/vzzT8qUKZNtOPKMGTO4e/cuR48ezdMGa9++fbx//57Zs2craqkiIiIivyQRERF4eHgUKAz59OnTmJmZUalSJW7evEnlypUJDQ3Nl2Gb3ic+Pp7Fm3Zx40247BBcWUsPkwkHMBm3J8eUpNjn14j19cKg2yz0LSZTrHYHtBt0Q99yKkUr1CVVKnDt9Wdeh8mXJwsZDVs1NTW2bt2Kj48Pe/fuzbWvsrIyo0ePxsnJSTaGyK+Nn58fS5cuZcaMGXLv9XIzbAGGDx9OuXLlWLBggeyaVCrl9evX2Rq2b9++5fTp00Ba+cSZM2dy5swZYmNjsbKyytA23bDN7+dMT0+PMWPGcPXqVd6+fcvcuXN5+PAhFhYWlC5dmvHjx7Nz504GDx6cbcRDQUORv2XYsGEcOHCAffv2MWzYMPbs2YOpqSk7d+6ke/fujBkzhoCAAIXM9TsgGra/KIHhsZnk+b9HSE5ASE5E88/W6LUbg0bVpui1G4NWnY7EPb9KcsT7nPsDAeGxeV5bmTJlCAkJyfW06b+giPzw4UOaNWtG0aJF8fHx4Y8//sjXOP7+/ujp6VG8eHHZNQcHB8qWLUuHDh0UtdxMSCQSLC0tcXV1zaTsd/jwYTZu3Mj69etp0qSJ3GOmpKSwbNkyevXqRfXq1RW9ZBEREZFfihMnTpCamiqXgFJWbNy4kR49etC5c2e8vLwwMDBAKpUSFhaWa05iVhw4cAAAa2trLgUmZUhZkqiooqylm+sYUXdPoWZcBY2qTREEKdKkhExtlJUkHLwVlEXvrPnWsIW00NCBAwcyc+ZMwsPDc+0/cuRIkpOT2b9/v9xzivwcBEHAxsaG0qVLM2/ePLn7qampIZVKc9w/qqmpMX/+fI4dOyYLZQ8ODiYxMTFTKPKLFy8YMmQIlStX5ty5cxgZGdGzZ08WLFjA9evXKV68OM2aNcvQR1c37fuhiAOU8uXLM2fOHJ49e8aDBw8YOHAghw8f5uvXr5w8eZKFCxfy+vXrTP0U5bFNZ8CAATg7O+Pi4sLo0aM5ceIEycnJvH//Hh0dHfr37y/zJv/XEQ3bX5SklNxPciQqabmvmtXMMlzXrG4OQOL7FwqZ53tMTExITU3NskB8OgkJCbx+/fq39th6e3tjZmZG+fLluXbtmiyMJT98LxwVGRmJk5MTo0aNQllZWRHLzRZLS0vevn3Lixf/+zw8ffqUUaNGMWjQIGxsbPI0npOTE2/fvs3Tw0xERETkd+Xw4cO0bt06xyoAWZGamsqUKVOYPHky06dPx8XFhaJFiwJpXuDU1NQ8e2wfPXrE9OnTKVasGAYGBrmmLGWFNDGOpBA/1I0r8+XKPoLXWRG8tjfvt40g9vm1/61fKnDZL0zucXV0dIiMjMzgiVq9ejUpKSlyRfcYGRnRo0cPtm/fnu8SKyKFw6FDh7h06RJbt25FQ0ND7n6qqqoAuXptBw0aRKVKlWQCZN+X+nn8+DF9+/alevXqeHl5sXbtWgICAujbty83btwA0nLQO3ToIJsznfyEIueGRCKhbt26rFmzRpY7b25uzurVq6lcuTJNmjRh8+bNfPr0CVBMju339OnTh2PHjnHq1CmmTp3K0aNHefr0KVWrVuX27dvY29srdL5fFdGw/UVRU8n9T6OsVSLtv5o6Ga9rpnkFpQm5q6HJM8/3pBt4OYUjv3jxAqlU+tt6bE+dOkXHjh1p1KgRXl5eBc4T/t6wPXToEImJiQwfnn2omKJo1aoVRYsWxc3NDUgzqnv27ImpqSnbt2/PUxh6amoqS5YsoUuXLtSuXftHLVlERETklyAkJARvb+88hyHHxcXRu3dvNm3axJYtW1i5cmWGHMR0VdW8GLYxMTFYWVlRo0YNqlWrxrvQz7mmLGVFypcPgEDs82vEPLmArvkw9LtMR0mjOJ9PryTe/39lQoLC44hNlM/To6OjgyAIGcr8GBoasnTpUhwdHbl582auY9jY2PD8+fNsdSFEfj4RERFMmzaNvn370rFjxzz1ldewVVVV5Z9//uH06dPcu3cPPz8/VFRU+PjxI127dqVOnTrcu3eP7du38+bNGyZNmoSGhgbm5ua8ffuWu3fvcvfuXSwtLTONnR459yNC3t+8eYOXlxczZsxg7969hIaG4uzsjL6+PlOnTsXY2BhLS0sCAwN/iAe1W7dunDp1Cg8PD5YuXcrOnTu5cOEC5ubmLFmyhKtXryp8zl8N0bD9RSlfQpPczA01o0oApERnDPFJiY4AQFmjeKY+3yL5v3nySrrQUU4CUr6+vsDvqYi8Z88eevXqRZcuXXB1daVYsWIFHtPf359KldL+XoIgsH37dlkR8B9N0aJFadOmDa6urkilUgYPHsynT584ceJEnk5aAY4fP87Lly9Fb62IiMj/Fxw5cgRVVVV69uwpd5/Q0FBatWrF+fPnOX36NOPGjcuyDeTNsJ04cSLv37/H2dmZUqVK8e5LQq4pS1khTY5P+298FCV7zafYXxZo1jDHsN8SlIoWI9LHRdY2LylL2eUujhkzhnr16mFjY5PrZt7c3JyqVauyfft2uV+PSOFia2tLYmIi69evz3NfeQ1bgP79+1O1alXs7Oy4fPkyampqNG/enFevXrF//378/PwYPXo06urqsj4tW7YE0lK9JBJJloa3uro6RYsW/SGG7a5du9DR0aFPnz4AaGhoYGVlxdmzZ/nw4QMbN24kIiICb29v7t27x5AhQzh//rxCjVwLCwvOnj3L5cuX2bt3L/Pnz+fSpUtUrVqVAQMGEBERobC5fkVEw/YXRVNdhbJ6ORsdmn+0ACDmyfkM12OenAclZdTL5lxEvmwJDTTV8147VVdXl6JFi+bosfX19aVMmTJoa2vnefyfyapVqxg+fDijRo3C2dk5ww9mfklKSiI4OFjmsb116xZPnz79oaJR39O5c2euX7/OP//8w5kzZzh48KDM0JYXqVTK4sWLad++PQ0bNvxBKxURERH5dTh8+DAWFhYyoy03Xrx4QZMmTQgKCuLq1atZeowAwsLSQnzlNWwPHjzI3r172bp1K1WqVMHIyIjPX77K1fd7JCppzzWV4oaol6oqu66kVpSipg1JDPFDkP4vTFLelKXscheVlZXZtm0bT548YcuWLTmvTSJh7NixnDhxQq5aoSKFy40bN3B0dGTZsmUYGxvnuX96+cicSv6ko6SkRPfu3XF3d+fYsWOoqKhw9OhRfH19GTRoUJZVHEqUKEGtWrW4ePEijRs3xsDAIMuxdXV1FW7YJicns3v3bgYNGiRLOfgWfX19xo0bh4+PD/369cPQ0JBbt27RoUMHypQpw7Rp07h//75CwvDbtWvHuXPnuHnzJlevXqVv3774+/sTGRnJqFGj/tOh/qJh+wvTqmrJHOvYqhlVQrNWO+L+vcKnUyuIfuDGp1PLifv3CtqNeqJSrES2fZWVJLSqknfRCkh78ORW8ud3E44SBIGZM2cyc+ZM5s2bx7Zt2xSW+xoYGIhUKpUZtg4ODlSoUIF27dopZHx56Ny5M6mpqSxevBg7O7tsN1s5cfbsWZ4+fSp6a0VERP6/4PXr19y9e1fuMOQrV67QpEkTNDQ0uH37NvXq1cu2bWhoKEWLFkVLSyvXcV+9eiWrUzl48GAgLR81PCx/hp+ylh4ASt+lMcH/pTZJUxC+EZOSN2UpJ7XZBg0aMHbsWObPn09ISEiO4wwZMgQVFRV27dol17wihUNycjJjx46lYcOG+T6Yl8djK5VKOXnyJA0aNGDFihUULVoUNTU1RowYQe/evXPdm7Vo0YKgoCA6d+6cbZv0msuK5OzZs4SGhjJq1Khc2+rq6mJoaMiLFy+4c+cOVlZWHDp0iPr161O9enWWLFnC27dvC7Qec3NzPD09efDgAUFBQdSqVQtlZWVOnDiBo6Njln1iE1N4FhLJw6AvPAuJlDsN4VdCNGx/YQY0KpurKESJDuMp3rw/iSEvibjoSFLoG3TbjELXbEiO/VKlAgMbl8332nIr+ePr6/vbGLYpKSmMHDmSVatWsW7dOhYtWpSnvNPc+LbUz5cvX2SqdfLUfFMUUqkUZWVlSpUqhZ2dXZ77C4LA4sWLMTMzo0WLFj9ghSIiIiK/Fk5OTmhpacl1EHj48GHat29PvXr1uHHjBmXL5vx8DQ0NpWTJkrk+axITE7G2tsbY2DiDt9PIyIgw/2c59MwelWIlUNbUJTUmc0hianQ4EhU1JOppHqe8pCzlVkZlyZIlFC1alL///jvHcXR1dbG2tsbBwUHhAjsi+WfNmjU8f/4cBweHfB/852TYpqSkcPjwYWrVqkXPnj3R1tbm4sWL7N69m6SkJLn3TPr6+giCkOPB0vcK3orA0dGRxo0bU7NmztGS8D9VZIlEQoMGDVi/fj3v37/H3d2d+vXrs3TpUipWrEjz5s3Ztm2bXKriWdGsWTMuXrzIixcvSE5ORktLixIlSjB58mT+/fdfAF6FRrPgzDPMVl3mzwWedN50nR7bfOi86Tp/LvDEbNVlFpx5xqtQ+Ut//UxEw/YXprJhMVqY6ufotZUoq6DTvD8m43ZTbuYpSo9xRLtBtxzHVVaS0MJUH9OS+c8dzcljGxMTQ0BAwG+RX5uQkECfPn3Yt28f+/fvZ8qUKQqfw9/fHxUVFUxMTDhw4AApKSkMGzZM4fNkR0JCAr1790ZLS4uEhMwlHeTB09OTe/fuid5aERGR/y8QBAEnJye6d++eoxaBIAgsWbKEAQMG0L9/f86dO5ehrFt2yFvD1tbWFl9fX5ydnSlWrBhJSUlcunSJc+fOkZIQS/KXnL2f2aFRrQWpUZ+If/tQdi01LpK417cpUq4WEkna9jAvKUu5ifLo6uqyevVqnJ2duXjxYo5j2djYEBQUhLu7u1xzi/xY3r59i729PZMnT6ZOnTr5Hic9FPlbwzYpKYldu3ZRrVo1BgwYQNmyZbl+/TqXLl2iTZs2svkuXrwoVwhtesWO9HD/rFB0KHJAQACenp5yeWsha1VkFRUVOnbsyIEDBwgNDeXgwYNoa2szceJEjI2N6datG0eOHCE+Pj5Pa2vYsCFeXl4EBQXJ9oEqKir0HWZDf8ebtFt/lQO3AwmMiMuUsy8AgRFxHLgdSLv1Vxm06zbB+RCsK0xEw/YXZ2mPmqjkYNjmBxUlCUt75H6ilBM5eWzTT4F+dY9tVFQUnTp1wsPDg9OnTzNo0KAfMo+/vz/lypVDWVkZBwcHevTokecSDwVh0qRJPH36lPXr1xMREcHt27fz1F8QBBYtWkSjRo1o06bND1qliIiIyM8hq/C7J0+e8Pz58xzDkJOTkxk1ahTz5s3D3t6e3bt3yzbuuSGPYXv27FnWr1/P/Pnzefz4Mb1790ZfX582bdrISprUL1UU5e+2CFH3z/L1hjMxTy4AEP/6Dl9vOPP1hjPShDQhqOJN+qCspcenk0v5eu0QUXdO8fHgTEhNRadlWrhzXlOW1NTU0NDQyNFgGDhwIC1btmT8+PEkJiZm265BgwbUq1dPFJH6BRAEgfHjx6Ovr8/ChQsLNFa6xzYpKYn4+Hi2bNmCqakpI0eOpFatWty/f59z585lqD375s0bIK3Ez+XLl3Odw8vLCz09vRyVtRUdirx79260tLSwsrKSq72ysnKGsljfo6WlxYABAzh37hzv379n9erVfPz4ESsrKwwNDRk+fDheXl5yRzT89ddfeHt7Ex4enlblo1IzolpM5uabzwC5Roem3/fxD6ftuis435W/vnVhk3flIJFCpYyeBgu71sD2xFOFjWnftQZlchGmyo0yZcoQEhJCampqppAUX19fJBIJ1apVK9AcP5KwsDA6duyIv78/Fy5coHnz5j9srvRSPzdu3ODff/9l48aNP2yu79m1axeOjo4yQYMZM2bg6upK06ZN5R7jypUr+Pj44OrqqtAQbREREZGfxavQaA7dDuLyyzCCvvNUSAANIR5jy0mUr90ky/5RUVH07t0bb29v9u/fn+eD0dDQ0Gw9X1KpFDc3N6ysrChevDjz589HIpHQsGFDZsyYQefOndHV1aVixYr0qGnA4zsZ8+Cibp8kNep/3qo4Px/w8wFAq0YrlIpooqypi+HAlXy5tIuoe6chNRX10lXR7/I3aoZpehD5SVnKLcRTIpGwdetW6tSpw6pVq3KMAho7diyjR48mICCA8uXL52kdIorj2LFjuLu7c+rUKblywnMi3bDdtWsXzs7OfPr0iX79+jF79uxso/z8/PwoUqQINWvWZP78+bRq1SrbvYifnx+vX7/G0tISb2/vbNeho6PD06eK2VenpKSwa9cuBgwYgKamfGH76aHI8mBoaMikSZOYNGkSfn5+HDp0iEOHDrFnzx5KlSpF//79GTBgALVr185xj1azZk28vb1pP3UtJf7qgSAICHnc06VKBVKlArYnnvI5JpEJrSrnqX9hIBq2vwHWDcryOSaR1ef9CjzWjPZVsWqQ/9zadExMTEhNTeXjx4+ULl06wz1fX18qVqyY51IyhUVAQADt27cnOjqaq1evUqtWrR86n7+/P40aNcLBwQFTU1NatWr1Q+dL5969e4wfP57Ro0fLQp87deqEm5sbS5culXucRYsWUadOHSwsLH7UUkVEREQKheCIOOacfMq1159RVpJk6akQgFhJUdRrtMVisw8tTPVZ2qOm7EA4ODiYzp07ExQUhIeHB61bt87zOsLCwjJ4bL9+/cr58+c5d+4c586d49OnT0gkEjp06EDPnj3p2LFjBoXX9LQSpehQWphWxcc/XPZaTMbtlmsNqjpGlOw5N8t7ykoSmlYskeeUJXlyF2vUqMG0adNYsmQJ/fv3z1Dj/Vv69evH9OnT2bFjR56eWSKKIzIyksmTJ9O9e3e6dcs5zS03vn79yu7daZ/NLVu2MHToUGbNmoWpqWmO/V69ekWVKlWwt7enU6dOnD9/ng4dOmTZ1tXVlSJFitC/f3/69+9PUFBQlvnuisyxdXd3JyQkhNGjR8vdJzePbXZUqVKFhQsXsmDBAm7fvi1TS1+9ejU1atRg4MCB9O/fP9sc/yexWqj81QMgkxGc+PE1X6/sJ/H9cwDUS/2BbqthsoOu71l93g8DLXWF2BSKRAxF/k2Y0Koyy3vWRF1FKcec26xQVpKgrqLEip41Gd8q5x8QeSlTpgxAluHIv7Iisq+vL82aNSM1NZUbN278cKNWEAT8/f0xNDTk6NGjhSYa9fnzZ3r16kWtWrUyeIgtLS158uQJQUHyhZH4+Phw6dIl5s2bJ3prRUREfmuc7wbRdt0VfPzThFhyC78T/i/P9Nvwu0ePHtG4cWOioqLw8fHJl1ErCAIfP35EKpWyatUqzM3NMTAwwMrKivv371OlShWUlJTw8vLi5MmTDBo0KFPZkiJFilC8eHE+fvz4S6UsyRviOX/+fAwMDJg4cWK2eZOampoMHjyYXbt2yVUeRkTxzJs3j+jo6AJFmn369Ik5c+ZQrlw5mdK1s7Mzjo6OuRq1kOaFrVy5Mh06dKBJkybMnz8/28+Mm5sbrVq1klWdyC4cWZE5tjt27KB+/frUrVtX7j5Z5djmBYlEQuPGjdm8eTMhISG4urpSs2ZN7O3tKVeuHGZmZjg6Omb4LgZHxPHPmawF5xI/vib04ExSvn5Ep1k/ijezJvlLCB8P25Icnr1QrN2ZZ79czq1o2P5GWDcoy8WpZjStmFbGJzcDN/1+04oluDjVTKGnKiYmJgBZCkj5+vr+ksJRN2/epGXLlhgYGHDjxo1sT4kVSXh4OFFRUQQGBiIIAkOHDv3hc6ampjJgwADi4uI4duxYhlq87du3R1lZmXPnzsk11pIlS6hevTo9evT4UcsVERER+eFsvvwK2xNPSUyR5mrQfk+qVCAxRYrtiae0n7KGUqVKcevWLapXr56nceLj4zl37hxjxowhKSmJZcuW8c8//6ClpcXGjRsJCAhgy5Yt3Lx5Ezs7u1yje4yMjPj48aMsZUmR5DdlSV5PmJaWFhs2bODcuXOcPn0623Zjx44lLCyMEydO5HktIgXj7t27bNmyBXt7e5kzIy+EhIQwbdo0ypcvz8aNGxkzZowsPDi95rE8+Pn5UaVKFSQSCYsWLeLu3bu4urpmahcZGSmrHa2vry8Lvc0KHR0doqKiCqy6/e7dO86dOye3aFQ6eQlFzg1VVVU6d+6Mk5MToaGh7Nu3jyJFijB27FiMjIzo2bMnJ06cYNbxx6Rk89sXee0gEhU1jAavRrtRT4o36oXRoFUgCHy9sj/buVOkAnNOKi5VUhGIhu1vRhk9DQ6MaMSFKS0Z1KgcRppKmU6uJEC5EhoMalSOi1NbcmBEowLn1H6Prq4uGhoamTy2X758ISQk5Jfz2Hp4eNC2bVv+/PNPvL29MTIyKpR500v9eHt707Nnz2yLhSuSBQsWcPHiRZydnTOFo+jo6NCiRYssHwrfky7iMHfu3EItTSQiIiKiSJzvBrH6vB/SpHi+XjtEqIsdweutCVxuScyTnNV5hdQUQhxtCFxuSeTtE2g0sWbiOie5nyFBQUFs27YNS0tLSpQoQefOnWUHi8uWLSM8PBxXV1dsbGzQ0tKif//+tGjRQi4FeiMjI0JD02rZFgt7SuS1g3KtKTcKkrKUlxDP7t27Y2FhwaRJk4iNjc2yTfXq1TEzMxNFpAqZlJQURo8eTe3atZk4cWKe+gYEBGBjY0OFChXYs2cP06dPJzAwkJUrV1KqVCkg5zq23xIfH09wcDBVqlQBoHXr1piZmWFnZ5dp73vhwgVSUlJk9WvNzc1zNGwhzRguCLt376Zo0aJy17pOJ7+hyLlRrFgxBg8ejKenJ+/evWP58uUEBQVhPXoKPv4R2R7qJQQ/o0j5OigX1ZZdU9HSo0iZP4l7cwdpUtZKzKlSgWuvP/M67NcpBSTuVn9TKhsWY0HXGsyoFkfw2j6E7J6IyqV1tIy7ge+CDlyZ3ooFXWsUqKRPTkgkEkxMTDJ5bJ89Swtz+JUMWycnJ7p06UKbNm3w9PSU/aAVBumGbWBgYL4LmueFs2fPsnjxYpYsWZKtgnHnzp3x8vIiLi7n8JElS5ZgampK3759f8RSRURERH4434bfSeOiiLzhRHJ4MKolK8jVP/r+WVKiPmW4tsTzVbbhdykpKVy9epVZs2bx559/Uq5cOSZOnEhMTAwLFy7k2bNnHD58GIBu3bpRtGhavVhBEBg2bBgJCQkcPHhQrjqh6R7bGzdu0KdPH8wNEljSrcZPTVnKi2ErkUjYtGkTnz59YtGiRdm2Gzt2LFeuXJFVXBD58WzatInHjx/j4OCAiop8cjwvX75k6NChmJqacvz4cRYuXEhgYCALFy6kRIm0SMOc6thmxevXrwGoXDlNpEgikWBvb8+jR484efJkhraurq6y7xykGbb+/v5Zpl6le4wLEo6cmprKzp076devH8WK5W2vXdBQZHkwNjZm6tSp3Lt3j7FrDiHJVMznfwipyUhUMiu6S1TVITWF5E+B2fZVVpJw8Navo5IsGra/OUFBQagrQ3LYWwyUYkn5FCB3zbmCUqZMmUweW19fX5SVlWWnaz+bzZs3y+oLHj9+XLaJKCz8/f1RU1OjatWqmJmZ/dC5Xr9+zaBBg+jevTuzZs3Ktp2lpSUJCQk5yub7+vpy8uRJ5syZI/dDTURERORXY87Jp7LwO2UtPUwmHMBk3B50Ww3PtW9q7Fe+3nBGu3GvDNe/D7/79OkT+/fvx9raGgMDA8zMzNizZw/169fHxcWFz58/4+3tzYwZM6hevbqsvua34lGbNm3i7Nmz7N27V5bqkxtGRkYEBARgaWlJw4YNcXJyYkDj8lycaoaBNC23TimHzSyAIE3bXDepqKeQlKW8ivJUrFiRuXPnsmbNGtnB+Pf07NmTkiVLil7bQiI4OJj58+czbtw4GjZsmGv7J0+eYGVlRbVq1bhw4QJr1qwhICAAW1tbtLW1M7RNL4clb870q1evADLsKVu2bEnbtm35559/ZF5PqVTKuXPnsLS0zNAOss6zTXdwFKTkz/nz5wkODs6TaFQ6igxFlofHYSkIZH/YpapnQmLIS9nvAaQZu4khLwFIiQ7Ptm+qVOCyX/Y1gwsb0bD9zQkKCkqrSQWUKFGCz58/F9rc2Xlsq1SpkiGv82cgCAILFixg4sSJTJkyhT179shOCguTf//9l+TkZMaMGfNDxZdiY2Pp2bMnhoaG7N27N8e5qlatSsWKFXMMR16yZAlly5Zl4MCBP2K5IiIiIj+cV6HRXHv9WRZ+J1FRRVlL/ty+L957UdUrjWaNjLmu6eF3fy9cRePGjTE0NGTIkCG8fv2aSZMmcfv2bT5+/MjevXvp27dvpiihsLAwVFVVZV6jBw8eMGPGDKZMmZJhY54b6urqvH37lnLlynH69GmKFCkCpKUsvXaczJeD0xjUpDzlSmhk2tJKAP0iAtEP3HjvOJb+xhEKSVnKj9rsjBkzqFChAuPGjctSFEhNTY0RI0awb9++bEOWRRTHpEmT0NbWZsmSJTm2u3PnDt26daN27drcuXOHbdu24e/vz+TJk7OtipFXj62fnx/FixeX7XPTsbe3x9fXl6NHjwJp+cCfPn2ShSEDOebZpn8nC+Kx3bFjB7Vr16Z+/fp57vujQpGzIiYxhaBcBJ6K/WVBSsR7ws9tJOlzEEmfAvjsupbUmDTDX0jJ+SAiKDyO2MSUHNsUFqIr5jcnODgYPT093r17h4GBAU+ePCm0uU1MTLh06VKGa7+CcJRUKmXSpEls2bKFpUuXYmtr+9MUfW/duoVEImHIkCE/bA5BEBg9ejRv3rzhzp07FC9ePMf2EokES0tLTp48iSAImd6bly9f4uLiwpYtW37KYYCIiIiIIjh0Oyjbkj65kRjykljfSxgNXIEkC0+HIE3l0J0gmpuYMGbMGDp16iR33m1oaCglS5ZEIpEQHR2NtbU1f/75J8uXL5d7fWFhYezbtw9BEDh9+nSG3/3z588THh7OiBHdWdg1LS0oNjGFgPBYklKkqKkoUb6EJiqkUrLkAAw0NdmwYYNCSrqli/JIpVK5tRnU1dXZsmUL7du35+DBg1nWBB49ejTLly/HycmJkSNHFnidIllz5swZTp06hYuLS7Z7iatXr7J48WIuXLhA1apV2bdvH/369ZNrv5BXwza91M/3+5QmTZrQqVMnFixYQO/evXF1dUVPT4/GjRtnaGdubo6bm1umcQtq2H748IGzZ8+ycePGfO0vCyMUOZ3A8Nhc4jagWF0LUqI+E3X7BLG+XgCoGVVGu3EvonxcUFIrkmN/AQgIj6VGqZz3n4WB6LH9zQkKCpKd+pYsWZLw8OzDBRRNmTJlCAkJyfDl9PX1/an5tUlJSQwYMIBt27axY8cOZs+e/dOMWqlUSmBgINWqVUNPT++HzbNlyxYOHz7Mrl275D5UsLS0JDg4OMsC5cuXL8fY2FhW+1ZERETkd+Tyy7B8GbWCIBBxwQGNai1QL10tyzYSJWWqmvfg2LFjDBs2LE+ChOmGLcD48eP58OEDzs7Ockc6RUVF0alTJ1k45/cGZPpzb8WKFbJrmuoq1ChVnLpldalRqjia6iqoq6vTq1cvpFIp58+f5/nz53K/huzQ1dVFEASioqLy1K9du3ZYWVkxffr0LMNDy5cvj4WFhRiO/AOJiYlhwoQJdOrUiT59+mS4JwgCnp6etGjRAjMzM0JDQzly5AjPnj1j8ODBch+Cp4ci58Vjm55f+z329va8ePECJycn3Nzc6NixY6bUqfQ82++jC9ON9vwatnv27EFNTY0BAwbkq39hhiInpcjnGdY1G4zJpIMYDliB8fDNGA9dB0JaXxW90gqb50cjGra/OUFBQWhrayORSChZsmShhyKnpqby8eNHIO0E+fPnzz/NsI2NjaVr166cOHGCI0eO5Fl+XdGcP3+elJQUhZyCZ4ePjw9Tp05lypQpWFtby92vZcuWaGpqZjrJfPv2LQcOHGDGjBmysDYRERGR3w15wu+yI/bpRZI/BaJrPjTHdkER8fkKvwsNDcXQ0JD9+/dz4MABtm/fnu3m/XsSExPp0aMHr1+/Ztu2bQCyZzCk1TB/+PAh9erVkwn25IS1tTWhoaGUKFGCTZs25fm1fE9BPGFr164lPj4+W0XosWPHcv/+fe7evVuAFYpkx4IFC/j8+TNbtmyROQSkUimnTp2iQYMGdOzYkeTkZM6ePcujR4/o06ePXCJn36KsrIxEIpE7xza91E9W1K9fn65duzJ//nwePnyYZRh/dnm2ysrKaGtr5yvHViqVsnPnTqysrHKNkMuOwgxFVlOR39RTLqJFkTI1UCtZHoCEgEcoF9NHtUTuef95medH8musQiRfJCYmEhoaSrFixShSpAj6+vrExsaSmJhYKPOn1zVLPwnz9fUF+CmhyBEREbRt25YbN25w7tw5evXqlXunH8yGDRuAtNqxP4KPHz/Sp08fGjduzMqVK/PUV11dnfbt22fKs12xYgV6enr5EkMQERER+VWQJ/wuK6SJcXy5sg/tRj1R0c65PFt6+F1eCQ0NpUiRIowbN44hQ4bI7fVJTU1l4MCB3LhxgzNnzsgECb81bGfOnIkgCHKHNbdu3Rp9fX1ZSGlBxHSgYIZtqVKlWLRoEdu2bePevXuZ7nfq1Ily5crJDHoRxfHo0SPWr1+PnZ0dFSpUIDU1FScnJ2rXrk2PHj0oVqwYFy5c4ObNm1haWhYoEk5VVVUuj21kZCRhYWE5ipEuXLiQgIAAJBIJHTp0yHQ/tzzb/HxOvby8ePv2bYH2SYXpsS1fQjMH2ajsiX1+laQPr9Cu3xWJJGdzUfJ/8/wKiIbtb0y6IrGmpqbMsAUKLRzZxMQEiWoRbvu952HQFy4/eoW6pjampvkvFZAf3r9/T4sWLXj9+jWXL1/OtsxNYRIaGsr58+cBfsj7kZycjJWVFVKplCNHjuQrF7Zz587cvHlT5uV/9+4de/bs4e+//85W+EFERETkdyC/YXFRt09Aagoa1VqQ8jU07V902m+kNCGGlK+hCKn/25TnZ56PHz/i4+ND6dKl2bx5s1x9BEFg/PjxnDhxAhcXF8zMzDAwMEBJSUlm2AqCgIuLC/r6+nI/B1VUVOjTpw+BgYEkJyeza9euPL+ebylo7uL48eOpVasWNjY2mTb+ysrKjB49Gmdn5wIb4CL/IzU1lTFjxvDHH38wceJEdu/eTbVq1ejfvz8mJiZcu3aNy5cv07ZtW4Wkdslr2KYrIucUzVCnTh2MjY1RU1NDS0sryzbZ1bPV1dXN1+d0x44d1KhRI1M+b14ozBxbTXUVyuYiDJcQ5Euo01wibx0j+vF5wt038vnMaopUrEexBt1ynaNsCY1Cq8iSG6Jh+xuT7iktUqQIRYoUkYUd/ehw5Feh0Sw484zuux5TZtpR1j0vQo9tPhz4ZILRhEO0WXeNBWee8Sr0xxds9vPzo1mzZkRHR3Pt2rV8qdP9CHbv3o2SkhIqKipyl27IC7a2tvj4+HD06FGMjY3zNYaFhQWCIODh4QHAqlWr0NTUZNy4cYpcqoiIiEihk9+wuJSoT0gTYviwcxzvt4/g/fYRhB5KK58WdfMI77ePIPnz//L18jPPu3fvCA8Px8XFJdvN+PcsWLAABwcHHB0d6dYtbaOprKyMgYGBzLDdu3cvcXFx2NjY5Gk91tbWvH//njZt2rB58+YCbbgLatiqqKjIPLYODg6Z7o8YMYKUlBT27duX7zWKZMTBwYE7d+7QoUMHqlevzogRI/jzzz+5d+8e7u7uNG/eXKHzqampKcywTUhI4OvXryQmJrJnz54s25iZmfHmzZtMebY6Ojp5PiAJDQ3l1KlTjB49ukBGfmGGIgPULqkqy5fNcj3FSoCSElG3TxBxfhsJ7/5Fp+UgSvaah0Qp53BzZSUJraqUVPSS882vYV6L5Iv0otPq6uoULVpUZtj+KI9tcEQcc04+5drrzzKlyUxfbImEwIg4DtwOZO/NAFqY6rO0R02FlBH4nvv379OpUyf09fXx9PSUhUb/bKRSKY6OjlStWpWEhASF14E9cuQIa9euZcOGDQV64BgbG1O/fn1cXV1p166dTGwrr4XGRURERH410sPv8hqOXKx+FzSqZPTEpMZFEuGxGc2abdGo3AiV4v+rP1suj8+2o0ePkpyczODBg6lTp45cfTZt2oS9vT3Lly9n+PCM9XeNjIxkhu2SJUtQVlZm7ty5eVpT8+bNKVWqFNra2gQGBnLmzBl69OiRpzHSKagoD6Qp3o4cOZI5c+bQq1evDPV+DQ0N6dmzJ9u3b2fy5Mk/TRzyv8Lr16+ZNm0aRYsWZf369VhbWzN79uwfqpWiqqoqV46tn58fJUuWzDGP1dvbm/j4eCwsLFi8eDFDhw7NJML2bZ7ttyUM8xOKvG/fPpSVlQtcCrGwQpFfvXqFvb09RzyvYTxiS7btVHWNMbRalK85UqUCAxsXrP61IhE9tr8x6TVsU1JSfngosvPdINquu4KPf9rYuSlNpt/38Q+n7borON8NUuh6Ll++TKtWrahQoQLXrl37ZYxagAsXLvD27VsMDAyoWLGiQsf+999/GT58OP369WPixIkFHq9z5854enqycuVKVFVVFTKmiIiIyM8mu/C7qPtn+XrDmZgnFwCIf32Hrzec+XrDGWlCLOpGpmhUaZLhX9HydQFQ1S+LRpUmKBVJyyVLjgjhr1o1mD59OlevXiUlJWchqeDgYFlenrx5tU5OTkyaNIlp06Yxc+bMTPfTDVs/Pz/evHlD27Zt81xHXklJCSsrK65cuUKTJk1k+hD5QVVVFU1NzQIZtpCmzq+iosKMGTMy3Rs7diwvX77MMrxURD6+fv3K4sWLqVGjBomJifTq1YuXL19y6NChHy4AmpdQ5JzyawHc3NwoV64ca9asISQkBEdHx0xtDAwM+PPPPzN9XvJq2AqCgKOjI3369ClwpYt00a2s6jYrgjdv3jB06FD++OMPvLy86N2uGclBTxCkijWmlZUktDDVx7Tkr+MQEQ3b35jg4GDKli1LQkICRYoUoXjx4igpKSk8FHnz5VfYnnhKYoo0z6UTUqUCiSlSbE88ZfPlVwpZz8mTJ+nYsSONGzfGy8tLLuXHwsTBwYGaNWvy9etXhRq2UVFR9OzZkwoVKuDo6KiQk2pLS0u+fv3K1q1bmTBhgqx0lIiIiMjvTquqJVFWyvg7GXX7JJHXDhLz8BwAcX4+RF47SOS1g0gTYuQeW1lJQtsaxpibm3Po0CHMzMwwMjJiyJAhHD9+nJiYjGOlpKQwYMAAmdEpT3kgT09PBg8ezKBBg1i1alWWv/nphu20adOANGXh/JCujty2bVuuXLnCo0eP8jUO5C/E83tKlCjBihUrOHDgQCZFWzMzM6pVqyaKSOWDT58+MXfuXMqVK4e9vT1JSUmsW7eOAwcOFJo+iryGbU6lfiDNKHR1dcXS0pI//viDgQMHsnTpUuLj4zO1zSrPNq85tt7e3rx+/VohFTfSDVtFe23fvn3LiBEjqFq1Kp6entjZ2VG9enUOHz5My6LvKaKWdz2WnFBRkrC0R02FjllQRMP2NyYoKEhm2BYtWhQlJSX09PQU6rF1vhvE6vN+Chlr9Xk/XAroud29eze9e/emW7dunD17Vu78pMIiJCSEM2fOMGbMGPz9/RVm2AqCwLBhw/jw4QPHjx9HU1Mx6nN//fUXmpqapKSkMHXqVIWMKSIiIvIrMKBR2UyHsSbjdlPO1jXLfyo6hlmOo6JjSDlbV4o36im7lioVmG9txo4dO3j//j23b99mzJgxPHjwgN69e1OiRAlZ3dX379+zaNEibty4weTJkwEyhNdmxe3bt+nVqxcdOnRg165dmWrVpmNkZERISAienp6UL1+e6tWr5+UtktGgQQMqVKhASEgIJiYmBSr9k1+12e8ZNmwYTZo0Ydy4cRlCVyUSCWPHjuXkyZN8+PChwPP8/0BISAjTpk2jfPnybNiwgeHDh2NsbEybNm1kn8nCQk1NLddQZEEQciz1A/D8+XMCAgLo3LkzAPPnzycsLCzLWsfm5uaZ8mzzegCTnmLWokULuftkR/r3WVGGbVBQEGPGjKFKlSq4urqyYsUKbG1tWb16NS9fvsTd3R2nnZtZ2FWxVUvsu9b4IamGBUE0bH9jgoODKVOmDPHx8bKao/r6+gozbIMj4vjnzDOkSfF8vXaIUBc7gtdbE7jckpgnF7PsE3X/LO8dxxK4qjvvNg8mwssRaVKC7L7dmWcE57O24MqVKxkxYgSjR4/Gyckpz+FWhcHu3btRV1fHwsKCqKgohRm2q1at4sSJE+zfvz/X0Jy8EB0dTVJSEtra2hgY5FzaQkREROR3orJhMVqY6mfy2haU78PvlJSUaNiwIUuWLOHp06e8efOGFStWkJCQwIQJEzAxMcHe3h5zc3Pi4+ORSCSy1KGseP78OZ07d6Z27dq5qt4bGRnx7t07UlJSmDVrVr5fk0QiwcrKipMnTzJmzBgOHTrEp0+f8jWWogxbJSUltm/fzsuXL1m/fn2Ge4MHD0ZVVZXdu3cXeJ7/MgEBAYwbN44KFSqwe/du/v77bwIDA9HQ0ODjx49s3bq10POU5fHYfv78mcjIyBw9tq6urmhoaNCqVSsgrQLF0KFDWb58ObGxGctwZVXPNi+f08+fP3P8+PECi0alk+6xLaiA1Lt37xg3bhympqacOHGCZcuW4eXlhaurK1OmTKF///48e/aMjh07AmDdoCzT2ytmDzmjfVWsGvw6ubXpiIbtb4ogCAQGBmYIRYa08B1FhSLPOfmUFKmANC6KyBtOJIcHo1qyQrbtv1zew5cLDqjpl0Ov7Wg0qjYj+r4rn04ukbVJkQrMOfk0T+sQBIEZM2Ywa9Ys5s+fz9atW/NcFLwwSE1NxdHRkX79+sk2BIowbC9dusTs2bOZPXu2TA1TUWzevBlBEIiIiMDf31+hY4uIiIj8bJb2qImKAg1bQRBITU5iUtPsDwIrVqzIlClTuHTpEi9evEBXVxcDAwPu3LnDokWLkEgkTJ06FS8vr0wb/ODgYNq3b4+xsbFs454TRkZGMp2NMWPGFOi1WVtbExERgampKRKJhB07duRrHEUZtgC1atVi0qRJLFy4UCaYmT5Hv3792LFjR6GVTfmd8PPzY9iwYVSuXJmjR4+yYMECAgMDsbe35+PHj6xcuZI5c+Yo9KBcXuQxbP380iIFc1qfq6srbdu2le1/AebNm8eXL1/YsiWjUFJWebY6OjrEx8eTmJiY65r3798PpB2oKIKChiKHhIQwadIkKlWqhIuLC4sWLeLNmzeoqanRqFEjAgICuHjxIg4ODmhra2foO6FVZZb3rIm6ilKeD/2UlSSoqyixomdNxrcq3NKe8iIatr8pkZGRxMTEUKZMGVkoMqQZtorw2L4Kjeba68+kSgWUtfQwmXAAk3F70G01PMv2KTERRN09hWaNVhj0mE2xuhbotRuDbpuRJLx9SNyr20Ba+Na11595HSZfKaCUlBRGjBjB6tWr2bBhA/b29r+sCqKnp6csHCTdSCyoYRscHIy1tTWtW7dm0aL8KdZlR0xMDOvWrWPYsGGoqqri5uam0PFFREREfjZl9DQUGn4nkUiQ3nGiS6um3LhxI8e2giAwZcoUlJWVefToEeHh4XTt2hUdHR1OnTpF27ZtMTAwoF+/fjg7O+Pv70/79u1RVlbGw8NDLs2DsLAwADp06FDgZ2OtWrX4448/cHd3Z+DAgWzdulWuXMjvUaRhC2mljnR0dDKFzNrY2BAUFMS5c+cUNtfvzpMnT7C2tuaPP/7g/PnzrFq1ioCAAGbPnk3x4sWRSqWMHTuWihUrYmtr+1PWKI9hm17qJ7u834iICHx8fGRhyOmUL1+eESNGsHLlSqKjM+4zv8+zTf9+5fZZTReN6tmzZ46RFnkhv6HIHz9+ZOrUqVSqVIkDBw5gZ2fH27dv6dGjBxYWFkyePJlhw4bx9OnTHGtZWzcoy8WpZjSt+H8aNTmUAgJkBnDTiiW4ONXsl/TUpiMatr8p6XkCZcuW/SGhyIduB8k+yBIVVZS1cn7AJr1/AdJUNKu3zHBds1ra/8c+vyq7pqwk4eCt3HNt4+Pj6d27NwcOHODgwYNMmjQpry+jUHFwcKBu3brUr18ff39/9PT0ZDX98kNiYiJ9+vShaNGiODk5KdxLvX37diIjI5k3bx7m5ua4uroqdHwRERGRXwFFht99ubKP3n+VpmrVqrRq1SpHr+aGDRtwc3Nj7969lCpVCjU1NdTV1albty6BgYE8ePCAqVOn4ufnR79+/ahUqRJv3rxh0KBBchuU6aG4w4YNK/Brk0gkWFtby8KRQ0JCOH78eJ7HUbRhq62tzbp16zh16lSG51T9+vWpX7++KCIF3L17l+7du1O7dm1u377N1q1befPmDVOmTMmgybFnzx6uX7/O9u3bf1o6lzw5tn5+fpQpU0bmtPkeT09PUlNTMxm2AHPnziUmJiaTund6nu27d+8A+WsuX79+nRcvXihENCqdvIYih4WFMX36dCpWrMiePXuYPXs2AQEB2NrasmPHDmrXrs3Hjx/x9vZm8+bNcunPlNHT4MCIRpwc9RcxD8+ho5LM90djEqBcCQ0GNSrHxaktOTCi0S+XU/s9omH7m5IekvOjQpEvvwzLkwKykJr2EJaoZPyhlKim/X/Sxzeya6lSgct+YTmOFxkZSadOnTh//jynT5+WuzTCzyI4OBhXV1fGjBmDRCJRiHDU1KlTefjwIceOHVPYKWE68fHxrF69miFDhlC2bFk6d+6Mt7d3JiVPERERkf8Cigq/m9+zIevWraNt27aMHj2aMWPGYGNjk2mjfv/+fWbOnMm0adMybL5DQ0MxNDREIpFQt25d/vnnH27evImZmRnq6urUq1ePFStWUKFCBWrXro2dnR337t3LsixIZGQkT548AZCrLqg8WFlZER0dTXBwMK1atcpX6R9FG7YAffr0oV27dkycOJG4uP/pdNjY2ODh4cHbt28VOt/vwtWrV+nQoQMNGzbkxYsX7N27Fz8/P8aOHZshRBfSFJFnzpzJoEGDZHmpPwN5PbY5hSG7ublRp04dSpcunemeiYkJY8aMYc2aNRk+h9/n2cpr2Do6OmJqaoq5uXmO7fKCvKHInz9/xtbWlgoVKrBjxw5mzJhBQEAAdnZ2vH//nmbNmjFz5kxsbGx48uQJZmZmeV5L4JPbhJ/fzolhtfBd0AG3ic05adMUt4nN8V3QgSvTW7Gga41fqqRPToiG7W9KcHAwKioqGBkZKTwUOSYxhaA8Cjyp6KX9uCS8+zfD9cTgZwCkxmRcU1B4HLGJWdf8Cw0NxdzcnMePH3PhwgUsLCzytJafwa5du9DQ0KB///4ABTZs9+3bx7Zt29i8eTMNGjRQ1DJl7Nq1i0+fPjF79mwgrexPUlISFy9mLQomIiIi8ruTKfwul5qO6Rukb8Pvpk+fzsKFC7Gzs8PU1BRHR0d2795N69at+fjxI5BWms3KyopatWqxbNmyDGOmG7bpSKVShg4dys2bNzl37hw3b97k8+fPHDlyhJo1a7Jp0yYaNGiAiYkJNjY2uLu7k5CQJsg4e/ZsBEFARUVFNndB+eOPP6hTpw7Ozs5MnjyZW7ducefOnTyNkdcyKvIgkUjYvHkzISEhGd5Ta2trtLW1850P/DsiCALnz5+nZcuWmJmZ8fHjR1xcXHj27BlDhgzJVmxs+vTpAKxZs6Ywl5sJeXNssxOOSk1Nxd3dHUtLy2z729rakpCQwLp162TXvs+zlScU+cuXLxw9epSRI0dmq0yeH3ILRY6IiGDu3LlUqFCBzZs3M2XKFAICAli4cCFaWlosW7aMunXr8vXrV65fv87atWtzzcfPDg8PD6pUqULFihXRVFehRqni1C2rS41SxdFUV8n3a/xZiIbtb0pQUBClS5dGWVk5Uyjy169fcy0UnxOB4bHktWS0upEpaqWqEnX7ODFPLpDyNZT4N/cI99gCSioIyRmT8wUgIDw20zhv376lefPmhIaGcuXKFZo1a5bv11FYpKSksHPnTvr370+xYmknWgUxbB8+fMjYsWMZPnw4I0eOVORSgbQQ5xUrVtC/f38qVaoEQKVKlahataoYjiwiIvKfpoyeBo4DahPpNIM/VD5RroRGluF3QlQYFVKCswy/mz9/PrNmzWLq1Kmkpqbi7e2Nv78/9evX586dO9jY2BAWFoazszNqamoZxv7WsE3PwXV2dubQoUO0bt0aSAu97dOnDwcPHiQsLIzLly/Tt29fPD09sbCwwMDAgN69e7N7926KFy9OqVKlFGbYQpqxePbsWczNzalQoQIbN27MU38dHR2ioqIULupUpUoVbG1tWblyJS9fvgRAQ0ODIUOGsGvXLrlEgH5npFIpp0+fpmHDhnTo0IHExETOnDnDo0eP6Nu3b47pSpcvX2b//v2sXLnyp1dAUFNTy9GwlUqlOXpsb926RURERJZhyOkYGxszfvx41q1bR0REhOz6t3m26R7bnEr+HDx4kJSUFIYOHZr9C8oH2YUif/36lX/++Yfy5cuzfv16xo8fT0BAAEuWLEFPT4+nT5/SuHFj5s2bx5QpU3j48CFNmzbN9zoEQcDDw0OmmvxfQDRsf1OCgoIoU6YMQKZQZCDDFzmvJKXkT37coMds1EpWIPzcBt5vH0HYMXs0qzVHzbAiErXMeRLfz+Pr60uzZs0QBIHr169Tq1atfK2jsDl37hzv37+XKVImJSURHBycL8M2IiKCXr16Ub16dTZv3vxDhLL279/P+/fvmTNnTobrlpaWnDt3rsDy8yIiIiK/Mm5ubnwNfM6Gwc25Mr1VluF37RJv8MFtY5bhdxKJhGXLljFx4kRsbGx49eoV9+7do0yZMjRr1ozDhw/j4OCQSfgmKSmJr1+/ygzbJUuWsGnTJrZu3Urv3r2zXKuqqirm5uasW7eON2/e4Ovry+zZs3n8+DGJiYlERUXx5csXLl68yOvXrxXy/lhZWREfH8+5c+eYOHEiR44cyVO92HSDISoqSiHr+RZbW1tMTEyYMGGCLDx77NixfPr0iRMnTih8vl+B1NRUnJ2dqV27Nt27d0dTU5Pz589z69YtunTpkus+ITExkbFjx9K8eXOF5GIXFFVV1RxD50NCQoiPj8/WY+vq6oqBgUGu0WwzZ85EKpWyevVq2TUzMzNev37Nu3fv0NLSQklJKVuPrSAI7Nixg+7du+dadzqvfB+KHBkZib29PeXLl2fVqlWMHj2at2/fsnz5cvT19UlOTsbe3p569eoRHx/PzZs3WbFiRbY5yPLy8uVLAgMDRcNW5OcTHBxM2bJpqmRZGbYFCUdWU8nfx0KlmD5GA1dSarQDhgOWYzJ+H7qthpMa/RlVvVI5zuPj40OLFi0oWbIk169fV1j918LAwcGBBg0a8NdffwFphw5SqTTPr0EqlTJw4EAiIyM5fvx4gX+wsiI5OZlly5bRu3dvqlWrluGepaUlHz584OHDhwqfV0RERORX4dChQ9SrV4+qVasCZBl+17FjR54/f05gYGCWY0gkEtavX8+IESMYNmwYN27cwMHBQXb/9u3bmbxS6QrGhoaGODg4MH/+fOzt7Rk7dqxc65ZIJNSoUYM5c+agoqKCRCJh06ZNaGhocO/ePSpXrkz16tWxtbXFx8cn3x7T8uXL07hxY5ydnRk2bBhqamp5EmiSN3cxPxQtWpTNmzdz8eJFXFxcAKhWrRrm5ub/ORGp5ORk9uzZQ7Vq1ejXrx+lS5fm6tWreHt7065dO7kPvpcvX46/vz/bt29XaDhtfsktFDm3Uj9ubm506tQpV0HNkiVLMnHiRDZu3Cgrwfhtnq1EIskxH/zWrVv4+voqVDQqnfS/Q2RkJEuWLKFChQosXbqUYcOG4e/vz+rVqylZsiSQFsXXoEED7O3tmTlzJg8ePKBhw4YKWYe7uzvq6ur5ys39Vfn5n3CRfBEUFJTBsE03gtJFhgpi2JYvoZkpNCsvqOqVpkiZP1HW0iXpcxCpMREUKV8nQxvJ/80DaV+stm3bUrNmTby9vTEyMirA7IVLYGAg7u7uGeoH5rfUz6JFi/Dw8ODw4cOUL19ekcuU4eTkxNu3b5k7d26me82aNaN48eJi2R8REZH/LF+/fsXNzS1XQcK2bdvKyu5kh5KSEtu3b6dfv37069ePbt26YWpqytq1a9myZQsdOnTIIOYYGhoKpJVksbGxYcKECcybNy/PryEwMJAXL15gbm7O+PHj6datG7Vq1eLkyZM0btyY3bt306xZM0qVKsWIESM4c+ZMBsElebC2tsbd3R1BEBg6dCjbt2+X5fbmxo80bAE6depEz549mTp1KpGRkUCaiNS1a9fw9fX9IXMWJgkJCWzbto3KlSszfPhwatSowd27d/Hw8KBFixZ5GsvPz4+lS5cyY8YMatRQXNmrgpCbYfvq1SuUlZWpUKFCpntBQUE8ffo0x/zab5k+fTpKSkqsXLkSSDN2a9SokSHPNrvPqaOjI+XLl6dt27ZyzZUX0j3WLVq0wN7enoEDB+Lv78+6detke+DExETmzZsn80zfvXuXxYsXK1TN2sPDAzMzs3zn5/6KiIbtb0hqairv37+XhSJ/m2Ob7rEtiDKyproKZRUg5y0IUr5e3oNEVZ1idTpluFe2hAaa6iocPnyYrl270rZtWzw9PQtUHudnsHPnTooVK4a1tbXs2ps3b1BRUZH9feTh3LlzLFy4EHt7ezp06PAjlkpqaipLly6la9eu1K5dO9N9VVVVOnToIObZioiI/Gc5fvw4ycnJWFlZ5dhOR0eHJk2a5GjYQlpI4d69eylXrhwBAQFMmTKFqVOn4uXlha+vL/Xr1+fRo0fA/wxbOzs7rKys2LBhQ77STaZNmwb8TwTIyMiIT58+0b17d3bv3s2HDx+4fv06Q4cOxcfHh27dulGiRAm6du3Krl27ZOvIiT59+pCSksKpU6eYOHEinz59knlIc+NHG7YA69evJzo6mn/++QdAFi76rdf8dyM2Npa1a9dSsWJFJkyYQNOmTXn69CknT56kfv36eR5PEARsbGwoXbp0vg5QfhS5lfvx8/OjQoUKWYpgubm5oaKiQvv27eWaq0SJEkyZMoUtW7bI8tC/z7PNKsc2MjISZ2dnhYtGxcXFsXr1agYOHAikHdK8efOGjRs3UqrU/yIb7969S7169Vi5ciV2dnbcuXOHunXrKmwd6Wu5cuXKfyoMGQBB5Lfj/fv3AiCcPXtWSE5OFgBh9+7dgiAIsv/fuXNngeb457SvUHGOm1DO1lUoZ+sq6LYbIxRvMVDQqmshAIJGlaZC8RYDheItBgplprgI5WxdhWL1ughadToKeu3HCbptRwtqpaoKIBFKWE6TjVPO1lUoO/O0UNl6jtC9e3cBEIYMGSIkJycr4q0pVJKSkgRjY2Nh3LhxGa5Pnz5dqFSpktzjvHnzRtDR0REsLS2F1NRURS9ThrOzswAIt2/fzrbNvn37BED48OHDD1uHiIiIyM+idevWQps2beRqu3jxYqFYsWJCYmJiju1OnjwpAEKNGjWEokWLCleuXBEEQRCCgoKEv/76SyhatKjg5OQk2NnZCYDQtm3bXMfMjuTkZEFNTU0wMTGRXdu6daugoqKS7fPj5cuXwqpVq4QWLVoISkpKgkQiERo3biwsW7ZMePbsmSCVSrPsZ25uLrRv314QBEHo1KmTULdu3Wzbfsvnz58FQDhx4kQ+XqH8rFy5UlBSUhIePnwoCIIgzJkzR9DW1haio6N/6LyK5uvXr8LixYuFEiVKCCoqKsLw4cMFPz+/Ao974MABARDc3d0VsErFMWrUKKF+/frZ3re0tBQsLCyyvGdhYSG0atUqT/N9+fJFKF68uDBp0iRBEATh6NGjAiAEBwcLbdq0Efr27Zupz9atWwVlZWXh/fv3eZorO+Li4oS1a9cKhoaGgoqKitClSxcBEF68eJGhXXx8vDBz5kxBSUlJqFevnvDkyROFzJ8V586dEwDh+fPnP2yOn4Fo2P6G3Lx5UwCER48eCTExMQIgODk5ye7r6OgIK1asKNAcfh+jMhijytolBdLEjDP9Kz12l1DO1lUoYTFFUC1ZQZCoFhEkakWFIuVqC4b9lmYYJ/1fkZLlZf3btGkj7N27V4iKiiroW1OonDhxQgCEx48fZ7jes2dPoV27dnKNERsbK9SpU0eoVKmS8OXLlx+wyjRSU1OFP//8U7ZJyY6wsDBBIpHIDkpERERE/iu8e/cuT79v9+7dEwDh8uXL2bYJDAwUdHV1hR49egixsbFC69atBS0tLeHWrVuCIKRtaAcOHCgAgqqqqqCsrFwgw2vVqlUCIKxbt052Lf1Z9OnTp1z7h4WFCXv37hV69uwpaGpqCoBQqVIlYdq0aYK3t3eGQ+bt27cLysrKQmhoqODu7i4AwtWrV3OdI/2AfdeuXfl6jfKSlJQk1KhRQ2jcuLGQmpoqBAQECBKJRNixY8cPnVdRfPr0SZg7d65QvHhxQV1dXRg/frwQEBCgkLHDw8MFAwMDwcrKSiHjKZJx48YJtWvXzvZ+1apVhcmTJ2e6HhsbKxQpUkRYvXp1nue0t7cX1NXVheDgYCE0NFQAhIMHDwo9+lgLLbv1Fx4ERgi+778KMQnJglQqFerUqSN069Ytz/N8T3x8vLBhwwbB2NhYUFZWFoYPHy74+/sL169fFwDh33//lbW9ceOGULVqVUFNTU1YunTpD3f4TJo0SShXrpxch1W/E79fgSIRgoODAShbtizx8fEAGQpxlyhRokChyACVDYvRwlQfH/9wUqUCJuN259pHq1ZbtGrlnIugrCRBM+Y9gWEBMvGLf//9l6FDh2JjY0O3bt0YOHAg7du3z7YW26/C9u3bady4cSb1Zn9/fxo1apRrf+H/woRevnzJrVu3fmgY9tmzZ/H19c1VXMPAwIBGjRrh6ur6S6gnioiIiCgKFxcX1NTU6Nmzp1zt69atS8mSJfHw8MDc3DzT/ZSUFFmZt/Ra5qdPn6Zjx4507NiRS5cuUbduXZYvX865c+eIiIhAQ0Mj1xqeObFu3TrU1dWZOHGi7Fp6Tt7Hjx9lOhvZYWBgwJAhQxgyZAgJCQlcunSJ06dP4+TkxNq1a9HT06Nz58507dpVlhZz/PhxxowZQ9WqVdmwYUOueZ4qKipoaWn90FBkSEuf2bZtGy1btmT37t2MHDmSzp07s23bNkaOHPlDqgoogg8fPrB69Wq2b9+ORCJh7Nix/P333xgbGytsDltbWxITEzPUcf1VyCnHNiUlhTdv3mQpHHXp0iUSEhLkzq/9lsmTJ7N+/XqWLl3K1H9WYNp3NosfqxBfcQBIJPTY5gOk6b+U1FQmUL8hEwZ0zfM86SQmJrJr1y6WLl3Khw8fGDRoEPPnz5eVWEwPi05NTSUuLo558+axfv16GjZsyMOHD6levXq+55aX9DI/v+r3JL+IOba/IUFBQWhpaaGjoyMTc/jesC2IeFQ6dp0qI6QkyyT1C46ANCWZFwf+YceOHXz48IGFCxfK8heMjY25ceMGlpaWlC5dmkmTJnHnzh0Fzq84/P39OX/+fAbRKEgzVuWtYevg4MD+/fvZsWPHDy1tJAgCixYtwszMjObNm+fa3tLSkvPnz+eYAyMiIiLyu3Ho0CEsLS0pXry4XO2VlJTo0KFDtnm2Cxcu5NatWxw+fBhdXV0AtLS0cHNzw9TUlPbt2+Pj40PHjh3R0NCgadOmJCUl0aBBA549e5bn9d+9e5eQkBC6du2aQRH2W8M2LxQpUgQLCwscHBx49+4dd+7cYdy4cTx69Ig+ffpQtWpVdHV1Wbt2LSEhIUyaNImTJ08SFBSU69g5qc0qkhYtWjBkyBBmzZrF58+fsbGx4eHDh9y5c+eHz51XAgMDGT9+PBUqVGDnzp1MmzaNgIAAVq9erVCj9saNGzg6OrJs2TKFjqsocsqxDQwMJCUlJctSP+nfq+zUknNCW1ubsX/P5cSXUrRbf5WUCk2IV9aC74w6AQiNTaXYX51Z9AAG7bpNcIT8wmtJSUk4ODhQuXJlJkyYQKtWrXj+/Dl79+6VGbXwv3I/d+/epXbt2mzbto1Vq1Zx48aNQjFq/f398fPz++/l1yIatr8lwcHBlClTBolEIjNsvy0No6+vX2DD9t27d/Tr2p6vlxwVeJojIfz8NpwcNzFq1Cj09fWZPXs2b9++xdnZGUNDQ4KDgyldujQ1atTg6NGjNGrUiKpVq2Jvb8+bN28UtI6C4+joSPHixenbt2+G6xEREURFReVq2N6+fZtJkyYxYcIEmYjAj8LT05P79+/LLR5haWlJTEwMV69e/aHrEhERESksXrx4wYMHD+jfv3+e+nXs2JHHjx8TEhKS4fqlS5dYsmQJ9vb2NGvWLMO94sWL4+npiZGREebm5rx79w5PT0+KFi1Ku3bt0NDQoHHjxpw8eTJPa5k+fToAa9euzXA9vcZmXg3bb1FSUqJBgwYsWrSIJ0+e4O/vz8qVKzEwMOD169eUKVMGR0dH1NTU+Oeff3I9cC4swxZg5cqVSKVSZs2aRYcOHShfvjzbt28vlLnlwc/Pj+HDh2NqaoqLiwt2dnYEBQWxaNGiXD3seSU5OZmxY8fSsGHDTAfvvwo5eWyzK/UjCAKurq507tw5X3tS57tBHIuvhnrZNCeCIMnZ/JEopRmePv7htF13Bee7OR/mJCcns2vXLqpUqYKNjQ3NmjXj2bNnHDhwIEtDPDExEYDhw4djZGTE48eP+fvvv3MtYaQoPDw8UFFRoXXr1oUyX2EiGra/Id+W+vkRocg+Pj7Ur1+fsLAwLjrYM7192peyoJ7TqOuHiH7kyZkzZzKc1qmqqmJlZYWPjw937tzB3NycGzduEBMTQ7du3fjzzz9ZtWoVpqamNG3alK1btxY41LogJCUlsXv3bgYPHpxJIl2eUj9hYWH07t2b+vXry1QtfxTp3trGjRvTpk0bufrUqlULExMTseyPiIjIf4bDhw9TvHhxLCws8tSvffv2SCQSPD09ZdfCwsIYMGAArVu3ZtasWVn2K1asGEZGRqSkpKCmpoampiahoaFUqlSJmzdvykrW/PPPP0il0lzXERsby/Xr16levTomJiYZ7mloaKCtrV0gw/Z7KlSowOTJk/Hx8UFVVZUBAwZQtWpVpFIpe/fupWzZskycOJELFy5k6X0rTMO2ZMmSLFu2jN27d3Pr1i1Gjx6Ns7MzERERhTJ/djx9+pR+/fpRrVo1PDw8WLFiBYGBgcyZM0fuqIG8smbNGp4/f46Dg0OhGUl5JSfD9tWrV6irq2eqKvHkyRPevXuXrzDkzZdfYXviKYkpUpnBKi+pUoHEFCm2J56y+fKrTPdTUlLYu3cvf/zxByNHjqRhw4Y8ffoUJycnqlWrluWYXl5eskoaf//9N1euXMmXF7ogeHh40KxZM7S1tQt13sJANGx/Q4KCgmRfekWHIu/atQtzc3MqV67MvXv3+Ouvv7BpWREdPzckqcko5/GgTFkCpCaTeHU359dN49ChQzg7O9OhQ4csJdYbNGjAwYMHCQwMZOrUqfj4+HDy5EmaNWvG7Nmz0dXVZdKkSRgbG9O1a1eOHDkiM+4Li9OnTxMWFpblaWhuhm1KSgrW1tYkJSVx9OhR1NTUfuhavb298fHxYd68eXKfckokEjp37szZs2d/yTBwERERkbwgCAKHDh2iV69eGZ6V8qCvr0+DBg1k4chSqZShQ4eSmprKgQMHsjQepFIpI0eOxNvbmwMHDqClpUXr1q0JCQnB0NAQTU1NXFxcWLZsGYsWLaJ79+5ERUXluI758+cjlUpZuHBhlveNjIwUatimo6Ojg4WFBa9evcLZ2ZknT56gpKSEqakpZ86coX379hgYGGBtbY2Tk5PMmC1MwxZg1KhRNGjQABsbG4YMGUJqair79u0rtPm/5e7du3Tv3p1atWpx8+ZNtmzZgr+/P9OmTUNTU/OHzfv27Vvs7e2ZPHkyderU+WHzFBQ1NbUcPbampqaZSuy4ubmhpaVFy5Yt8zSX890gVp/3y/dav2X1eT9c/s9zm5qaysGDB6lWrRrDhg2jTp06PH78mCNHjmRbLzgqKooxY8bQtm1bWWmfvn37KrSckDwkJiZy6dIlOnXqlHvj3xDRsP0NCQ4OlnlsFRWKnJyczKRJkxg5ciTDhg3Dy8uLkiVLAmlhPk9PObCufQmaVkoLm1EiF4NHSDuBTnn/L4KrPd67l1K/fn369++Pl5cXT548oUmTJjJD8HuMjY2xt7cnKCiIPXv2EBoayrJly3j79i3Lli1j+fLlhIWFYWVlhaGhIcOHD+fSpUukpqbm6XXnBwcHB5o3b57hxys2MYVnIZHc9PtACdPaqBbVyrLv3LlzuXr1Ki4uLpQuXfqHr3Xx4sXUrVs3z16Kzp078+bNG1lYkIiIiMjvyp07d/D392fAgAH56t+xY0cuXLhASkoK69atw93dnf3792eZvygIAjNnzmT//v3s37+fAQMG4OXlRXJyMhEREbJntUQiwdbWFldXV65evUqjRo14+fJltmvYvXs32tra9O7dO8v7P8qwBbC2tubOnTu8ffuWqlWr0rVrV8LCwnj79i0PHz7k77//5vXr1/Tv3x8DAwPatGnDx48ff9h6skJZWZlt27bx7NkzXFxc6NWrF9u3b5cdzqY/ox8GfeFZSCSxiSkKX8O1a9fo2LEjDRs25Pnz5+zZs4dXr14xduzYPB+o5BVBEBg/fjz6+vrZHn78KqiqqmabY+vn55el99LV1ZX27dvnyRkQHBHHP2eyzmVPCHxC4HLLLP8lvn+R7Zh2Z56xZZ8zNWrUYNCgQVSvXp0HDx5w/PjxHLVSPD09+fPPPzl8+DBbt25l9+40QdbC2LN+z40bN4iNjf1P5tcCiKrIvxkJCQmEhYXlGoocHh6OVCqV6yQoPDycvn37cvXqVbZu3YqNjY3s3oMHD7Czs2PWrFn0aNeSHsCr0GhGLN9LcIo2aOlnMHElgErCF5RCX+B/fh+6Sok8ePAgQ+hU8+bNuXXrFhYWFjRq1IjTp0/TtGnTLNdWpEgRhg4dypAhQ7h27RobNmzA1tYWbW1tRo0axfLly/H29ubgwYPs2bOH0qVLM2DAAAYOHEjNmjXlf2Pl5PXr13h5eXHgwAFehUZz6HYQl1+GERQR93/vQ2W0ei/hzwWelNXToFXVkgxoVJbKhsU4fvw4K1euZPXq1VkqbCoaHx8fLl26xPHjx/Ock9KmTRuKFCmCm5sbVatW/UErFBEREfnxHDp0CGNjY8zMzPLVv1OnTtjb27Nv3z5mz57N9OnTs90Urlq1ijVr1rBhwwb69esHQPny5XFxcaFp06Zs3ryZYcOGoaenB4CFhQV37tyhe/fuNGzYkMOHD9O5c+cMY54+fZrIyMgMSsjf8yMN2y5duqChoYGLiwu2trZMnjyZVq1acenSJdq2bUudOnWws7Pj3bt3nD17ljNnzvDgwQOkUim1atWia9eudOvWjXr16v1Q71S9evUYN24cdnZ27N27l+MXbjBymyevY9W/eUanIYFMz+j8IAgCFy5cYMmSJVy9epWaNWvi7OxM7969CzUU+NixY7i7u3P69Gm0tLI+WP9VyC0U+Xvtks+fP3Pr1i127tyZp3nmnHxKijRnJ0yxel1QM85oSKvoZi+4lZiUjL37KxqYmnLw4EHq16+f4/hfv35l2rRp7Nmzh3bt2uHo6Ei5cuV4/vw58HMMW3d3d4yMjH6oaOnPRCKIsYa/Fa9fv6Zy5cp4eXnRunVrzpw5Q7du3QgNDZV5WI8ePUrfvn2JiIiQKTVmx9OnT+nWrRvR0dEcO3Ysw4M/Pj6eevXqUaRIEW7dupXhpOyPP/6gVatWrF6/iYDwWJJSpKipKFG+hCbzbGewfv16mShCYGBgplxUSDOou3fvzt27d9m/f3+mH7PsCAgIYMuWLezcuZOoqCh69OjBpEmTUFVV5eDBg7i4uBAeHk6tWrUYOHAg/fr1y5STlF9mzpzJ7iOnaT93Lz7+ESgrSUjN4Ycz/f5fxkW5tGIU7ZvVw8XFpVDk1S0sLAgKCpKFjuWVzp07Ex8fz6VLl37A6kRERER+PCkpKZQuXZqBAwfmW9MgNTUVfX19JBIJpqamXL9+PUvP0e7duxkxYgTz5s1j0aJFGe49efKE2rVro6Ojg6mpKRcvXsyQZxkVFcWgQYM4e/YsixcvZvbs2bLnRK1atfD19SUyMpJixbI2wCZPnoyXlxe+vr75eo25YW1tzYsXL3j06BGCIFCnTh3Kli3L2bNns2w/a9Ysdu3ahYWFBW5ubkRERGBsbEyXLl3o1q0brVu3/iFezK9fv1KtfnMMOk8iSqN0WvRYDkJB6c/oFqb6LO1RkzJ6mfcqWSGVSnF1dWXx4sXcvXuXBg0aMG/ePCwtLQs9tDQyMpJq1arRqFGjPAuS/Qy2bNnC1KlTM3ltExIS0NDQwNHRkREjRsiuHzhwgMGDB/PhwweZAnhuvAqNpt367AUwEwKfEOo0B/3utmj+kXu1iO+5OLUlpiVzPgxxdXVlzJgxxMTEsGbNGkaMGCH7Tvv5+VG1alWuXLmS5/DqglKzZk3q16/Pnj17CnXewkIMRf7NSJfZ/z4U+dsHRLpBmVs48smTJ2nSpAnFihXj7t27mU6zbW1tefv2LQcPHszwEA8NDeXly5eYmZmhqa5CjVLFqVtWlxqliuPpdoYtW7YAMHHiRCIiIrL98pQoUYKLFy/Sq1cvrKysWL58uVw5neXLl2fVqlUEBwezefNmnj17hpmZGePHj6dhw4a8ffuWM2fO8Mcff2BnZ0fZsmVp06YNe/bsyTWPKScSExM54PMGbetV3A5Iyw/Oyaj99v6D9zHoDFiDxcTFhWLU3r9/H3d3d+bOnZvvh2znzp25du0akZGRCl6diIiISOHg5eVFWFhYntWQv0VJSQltbW2ioqJwdnbO0qg9c+YMo0aNYsyYMdjb22e6HxoaCqRt0l+/fk3nzp2JjY2V3dfW1ubkyZPY2dkxd+5c+vbtS0xMDCEhITx9+pSmTZtma9TCj/XYQpph+/jxY54/f45EImHSpEm4ubnx+vXrLNsbGhqSlJTE/v37CQ0Nxdvbm379+uHl5UXnzp3R19enV69e7Nu3T6FikB6votDsu5xI9TSl6JyMWvjfM1pe9dvU1FRcXFyoU6cO3bp1o2jRonh6enL79m26du1a6EYtwLx584iOjmbjxo2FPnd+SM+x/X6/5+/vjyAImUr9uLm5Ub9+fbmNWoBDt4NQVpJvryVNjEOQyu85VVaScPBW9p+TiIgIBg0aRJcuXahTpw7Pnj3LVFc53Ztf2B7bd+/e4evr+58NQwbRsP3tSDds0z2QWeXYlihRAiDbh0W6AEXPnj3p1KkTPj4+lC9fPkObCxcusHHjRlasWJGpplZ6GZjvT5l27txJnz596NmzJy1atOD27dtYWVmxatWqbMNO1NXVOXjwIHZ2dsyePZtRo0bJXbxeS0sLGxsbnj17hru7O4aGhgwdOhRTU1Pu3bvHhg0b+PjxI7t27QJgxIgRGBoaYmVlxdmzZ+WeJ52J21xRbzEcqUQ5V4M2E0rKoKzKgnOvslTWUzSLFy+mcuXKcnvBs6Jz586kpKRw/vx5Ba5MREREpPA4fPgwVatW5a+//sr3GHv27CEoKIjU1NQsjcurV69iZWVFjx492LJlS5aHl+mGbevWrfHw8ODx48d07do1g/ihkpISCxYs4OTJk3h4eNC0aVPGjh0LpIU454SRkRHh4eE/rP54x44d0dbWxsXFBYD+/fujp6fH5s2bs2yvo6NDdHQ0KSkpqKioYGZmxpo1a3j16hXPnj1j3rx5hISEMGzYMAwNDWnRogWrV68ukK5DuvptiiBBopy3TLvc1G+Tk5PZu3cv1atXx9raGmNjY65cucKVK1dkytk/g7t377Jlyxbs7e0zKQn/qqiqqgJp0RTfklWpn+TkZDw8PPKshnz5ZZhc+7TwcxsIXteXoFU9+Hh4Nokfct+fpUoFLvuFZXnv5MmTVK9eHVdXV/bt24erq2uWEYPpByCFbdh6enqipKREu3btCnXewkQ0bH8zgoODKVmypMxDGx8fj5KSEioq//sRTzdss/LYxsTE0KdPHxYsWMCiRYs4cuRIJpW+iIgIhg4dStu2bZkwYUKmMa5cuYKpqalM1U0QBFasWCE7rT506BC9e/fmwoUL2NjYEBgYyJEjR7J9TRKJhIULF7Jv3z72799Pp06d8qSmqKSkRMeOHXF3d+f58+f07t2bNWvWULZsWSZMmEDNmjXx8vIiKCgIe3t7nj9/TteuXTE2NmbChAncunUrV0+x890gPIIFvl47RKiLHcHrrQlcbknMk4sZ2gmClJgnFwk7Zs+7LUMJWtOLkJ3j+HrDGSElbcPxrbLej+Dp06ecOnWK2bNnFyjHp1y5cvz555+4uroqcHUiIiIihUNcXBwnTpygf//++TY8nj9/zoQJE2Qe3+8P+tIN1KZNm3Lo0KFsf3NDQ0PR0tJCQ0ODRo0a4ebmxs2bN+ndu3cmY7R79+7cunWL+Ph4zp49i66uLk2aNMlxnenerLCwrDfcBaVIkSL06NEDZ2dnBEGgaNGijBkzht27d2cZCaWjowOQ6Z5EIqF69erY2tpy8+ZNQkJC2LFjB7q6usyfP5+qVatSrVo1Zs2axY0bN+Te+DvfDWKl6+Ncn9EA0Y88+HjIluCNAwlc1Z1320bw2W09KV/TDh++fUYnJCSwbds2KleuzLBhw6hWrRp37tzB09Oz0ENIvyclJYXRo0dTu3btHPOvfzXSDdvvnQuvXr2iWLFisrrMkKYVEhkZmSnvPCdiElMIiojLuZGyKhpVm6LXZhQGveaj03IQyZ8CCT00i6SPb3KdIyg8LoMA2adPn7CysqJnz540btyYf//9l8GDB2f7u5P+OyFPqS9F4uHhQaNGjWQ5/v9FRMP2N+PbGraQ9qNbpEiRDF+e7Azbt2/f0rRpU86fP8+pU6eyLAEjCAI2NjbExcWxZ8+eLMNqrly5IgtbFgSBGTNmYGtri52dHVu2bEFZWZmePXuSnJxMYGAgnTp1kivMePDgwZw/f5779+/TrFkzAgIC8vTeQFru75YtW3j37h3Lli3j+vXrNGjQgGbNmuHj48PUqVN58uQJjx8/Zvjw4bJw7MqVK7NgwQJevcp8WhccEYfdaV9S4yKJvOFEcngwqiUrZDm/kJxI+Ln1pMZFUqxuJ3TbjELNuAqR1w8TeuR/Re3tzjwjOLcf3nyydOlSypUrx8CBAws8lqWlJe7u7j9F4EBERESkILi6uhITE5PvMOT4+HisrKwoX748jo6O1KlTR1b2B9JCJzt27EilSpU4efIk6urq2Y4VGhqaYcPesmVLTp8+zcWLF+nXr18m71WNGjVkJeW+fv3KmjVrcnyGphu2Pzoc+eXLlzx+/BhAtlfYu3dvprbphm1uh9RGRkaMGDGCM2fOEB4eLhOT3LNnD82bN8fY2Jjhw4dz6tSpDKHb35KufiuNi8r1GQ2QFOqPSnFDijfqSYn249CqYU68/z0+7JtKSnTavsnuzDMWrN5ExYoVmTBhAk2aNOHJkyecOnWKBg0a5P5mFQKbNm3i8ePHODg4ZHBu/OpkZ9j6+flRuXLlDPtSV1dXjIyM8hRxERgem1vdDoqYVMOgxxy0ardHo3Ijijfpg9Hg1YCEL1dyLxMlAAHhsQiCgIuLC9WrV8fLy4vDhw9z8uTJLBXTv+VnhCKnpKRw4cKF/3QYMoiG7W9HcHBwhnCThISEDGHIkHayqqmpmSEU+dKlSzRo0IC4uDhu3bpFt27dshzfycmJI0eOsH379izDJ8LDw/H19cXMzIyUlBSGDRsmU4BcuHCh7AfJxMSEJk2acOzYMWxtbfH19eXcuXO5vj5zc3Nu3rxJfHw8jRs35u7du3K9L9+jo6MjK0Fw4sQJVFVVsbKyokKFCixfvpzSpUuzcuVKgoKC8PLyomXLlqxdu5YqVarQuHFjNm/ezKdPn4A0Zb3klFRUtEpgMuEAJuP2oNtqeJbzSpRVMBy4CuPBayje1IpidTqi33kKxZv1IzHoKQmBaRuCFKnAnJNP8/XacuLly5cy5cr0h0dBsLS05NOnT/n+O4iIiIj8LA4dOkTDhg0xNTXNV/+///6bV69e4eLigoaGBh07dsTT0xOpVMrHjx9p3749WlpauLu7o62tneNYYWFhGQxbgHbt2nHs2DHOnDkjq736LZs3b0ZFRYXp06czffp0Bg4cSFxc1geihWHYtmnThhIlSuDs7AykPed79+7Npk2bMnme5DVsv0VDQ4OuXbuya9cuPnz4gI+PD8OHD+fWrVv06NEDfX19unTpgqOjY4bXma5+q6yll+szGqBEh3HoW05Fu1FPtGq3R6flIEr2WYA0PopY3zSxxISkZLbfj6Rjx448f/4cJyenH1JpIb8EBwczf/58xo0bR8OGDX/2cvJEeo7695EKWZX6cXNzw8LCIk+5y0kp+fOCquqWomjlRiQEPZEr5/ZD2Gd69eqFtbU15ubmPHv2jH79+skVHfIzQpFv3bpFZGSkaNiK/Fp877GNj4/PUlkwveSPIAhs3ryZ9u3bU7duXe7cuZNt8eigoCDGjRtH//79sbKyyrLNtWvXAGjUqBG9evXi0KFDHDx4kEmTJmVq26tXLzw8PKhTpw5NmjRh+fLlcr3GP/74g9u3b1OhQgXMzMwKpPKnrKxMjx498Pb25uHDh7Rr144FCxZQpkwZRo8ezYsXL2jdujW7d+8mNDQUFxcXDAwMmDp1KqVKlaJtr0Fce/0ZQaKEREUVZa2cVaYlyqoUMamW6bpGlbQwsuTPwUBajsa11595HRad79eWFcuWLcPY2JihQ4cqZLzGjRujp6eHm5ubQsYTERERKQwiIiJwd3fPd+3a48ePs23bNtavXy8zaDp16sSnT5+4evUqnTp1Ii4ujvPnz8sqEuTE9x7bdLp06cLhw4dxdnZm7NixMgPR19eXwMBAOnfuzMqVK3F2dubkyZM0b95cprXxLQYGBkgkkh9q2KqqqtK7d29ZODKkqTG/fv0ad3f3DG3TDdsvX77kay5lZWXZvuHff//Fz8+PxYsXExUVxdixYzE2NqZx48bMWLSGa68/kyoV5HpGZ4dK8bS/oTQxzSssUVKmSPm6zFm+Icu6qj+bSZMmoa2tzZIlS372UvJMTqHI3wpH+fv78/z58zzn16qp5N+0UdHWh9QUhOTEXNv269ub69evc/ToUY4ePZrl9zs7fkYosoeHByVKlKBevXqFNufPQDRsfyMEQcg2FPl79PX1CQsLY9SoUUycOJGJEyfi7u6ebVy9VCpl6NChFCtWTKZqnBVXrlyhTJkyjBo1igsXLnD69OlsNw69evUiMTERd3d3bG1tuX79OtevX5frtRoYGHDp0iUsLS3p1atXrmFY8lCnTh12795NcHAwc+bMwdXVlT///JO2bdvi6uqKuro6ffv25ezZs4SEhLB+/XpCNCrmSS0vO1Jj0x7uyhr/O9XPTVkvr6QrWM+cOVNhZRSUlZXp1KmTmGcrIiLyW3Hs2DFSU1OzPaTNicDAQEaOHEmvXr0YPXq07HqTJk3Q0tJi2LBhBAQE4OnpSYUK2Ye8fsu3Jfm+p0+fPuzZs4edO3cyZcoUBEFg6tSpAKxduxYAKysrbt68yZcvX6hfvz5XrlzJMIaKigr6+vo/1LCFtHDkwMBAbt++DaQdfjZo0IANGzZkaJcfj21OVK5cmb///psrV64QGhrKvn37MDExYf/Nt/l+RqfGR5Ea+5XED68Id1sPQJFytWX3Ff2MVhRnzpzh1KlTbNiwIUPJqN+FrAzb6OhoPnz4kOEQwc3NDTU1Ndq2bSvXuO/fv+fIkSNsW2kP+dwvpnz9iERFDYlaznsoQRBo3aAm//77L717987zPD8jFNnDw4P27dsXan3ln4Fo2P5GfP36ldjY2FxDkSFNMfjkyZMcOHCAPXv2sG7duhxzMNavX8/ly5fZt2+f7IGUFV5eXsTExPDkyRMuXLiAhYVFtm3Lly9PvXr1OH78OJaWllSvXp0VK1bI92JJU3p2dnbG1taW6dOnM27cuEx5SPnBwMCAefPmERAQwKFDh4iOjqZLly5UqVKFDRs2EBUVhYGBAePHj8egljkSpYL/CETdPo5EXYOiFf93UpaTsl5+WL58OXp6eowaNUphY0KaOvKjR4949+6dQscVERER+VEcPnyYtm3b5smLAmmb7X79+lG8eHEcHR0zhBVKJBKKFStGUFAQrq6ueQpNzc5jm87gwYPZvn07mzZtYsaMGVy6dInKlStTsWJFWZvatWtz9+5datasSdu2bdm8eXOGA98fXfIHoEWLFhgbG8vCkdNL/1y4cIF///1X1i49NFtRhu236OvrM3jwYI4dO0ZV8575fka/2zyEd5sG8nHfVBLfv0C37RiKVqgru6/oZ7QiiImJYcKECXTq1ClfBtWvQHoo8reGbXrZqG89tq6urpiZmWWpRJ6SksKDBw/YvHkz/fr1o1y5cpiYmGBlZYX72VMUSY3JcQ2pcZnLGCaF+hP36g5FytdFkkuZKIMi4HJov6y8Zl5JD0UuLI9tWFgY9+/fp1OnToUy389ENGx/I76vYQtZhyLfv3+fu3fvEh0dzZUrV3INS/X19WX27NlMmzaN1q1bZ9vu8ePHPH36FKlUytWrV2nWrFmua+7duzdubm4kJCQwa9YsXF1defpU/txSJSUlli5diqOjI46OjnTp0qVAtWi/RU1Njf79+3P79m1u3rxJgwYNmD59OiYmJkyePJkn//oRqACBp0ifIyQEPELXbChKRbQy3PteWS+/vHv3jj179vD333+joSFfgXl56dChA8rKynLlSIuIiIj8bIKDg7ly5Uq+wpAXLFjAnTt3cHJyQlf3f2Gt6cKKoaGhCIKQqQxeTkil0ixzbL9nzJgxrFu3jjVr1iCVSrGzs8vURl9fH09PTyZMmMDEiRMZOXKkrOyfkZGRrKzQj0JZWZm+ffty5MgRmbepb9++GBkZsWnTJlk7FRUVihUr9kMM23RiElMI/hKfe8NsMOy7kJJ9FqDbegQq2gYIyQmZ2ijqGa0oFixYwOfPn7MtK/U7kO6x/TbHNr3UT7phGxMTg7e3tywM+evXr3h4eDB//nzatGmDjo4O9erVY9q0aQQEBNCnTx+OHz9OSEgIb968wbpFzRzr2H46tYKwowuI9HEh+pEHERcd+XhwBhJVdXTNh+a4fmUJWP4lX6RGtmMUssc2Xc29ffv2hTLfz0Q0bH8jgoPT8jO/99h+a9g6OTnRvHlzihUrRsWKFWncuHGOYyYmJjJgwACqVKmSY67G06dPadWqFQCnTp2S+6S6V69exMXF4eHhQb9+/ShTpgwrV66Uq++3jBw5End3d3x8fGjRooXsvVAUjRs3xsnJiYCAACZOnMihQ4do0LrgJ1uxz6/y9eoBtGq1p9hfmb3b6cp6BWXVqlVoaWkxbty4Ao/1PXp6ejRt2lQMRxYREfktcHJyokiRInTv3j1P/S5evMiyZctYvHhxpvI6c+fOZefOnaxevRpBELh4MXMZmez48uULKSkpcnmPp0yZIovCCgkJybKNiooK69atY9++fRw6dAhzc3NCQkIKxWMLaWHRHz58kGluqKmpYWNjw/79+zPk1Oro6PxQw1Ye9ducKFKuFkUr1Ue7YQ/0u9sSecOJqPtnM7RR1DNaETx69Ij169djZ2cndwj8r0hWocivXr2iRIkS6OnpIQgC+/fvJykpiZs3b/Lnn3+ip6dHp06dcHBwoFixYtjZ2XH9+nWioqK4efMmq1evpmfPnjI14gGNyuZYx1ajSmNS46KIunOKiPPbiHtxDY0qTTEeug5V/ZzrAacKMLBx2Rzb5EZhG7YeHh789ddfeY5g+R0RDdvfiKCgIFRVVWXqh/C/UOTU1FRsbW3p378/ffr0YdSoUURGZg61+B47OzueP3/OwYMHs83L9PHxoWXLlrK500v9yEPlypWpVasWx48fR1VVlenTp8sMyLzSrl07WU2zRo0a8eDBgzyPkRulS5dmyZIlBAcHM9N2ToHGin/7kM+uaylaqT56Hcdn2y6/Cn7pfPz4kR07djBlypQsQ3YUgaWlJV5eXsTH5/90XERERKQwOHz4MF27ds1VqfhbQkNDGTRoEG3atGHmzJkZ7q1bt45ly5axevVqpk6dSvXq1TOU/cmN9Nqy8mwqL1y4QHx8PHXq1GHWrFk5al4MHjyY69ev8/79e+rVq0dqamqhGLaNGzemXLlysnBkSPM2p6SksHPnTtm1H23YFvTZ+S2qusaoGVYk9pn3D50nv6SmpjJmzBj++OMP/v7775+9nALxvWGbkJDA9evX0dTUpHv37hgaGjJ+fNqe6enTp7LyT35+foSGhnLq1ClmzpxJs2bNst23VjYsRgtT/Wy9ttr1u2I8ZC1lpjhRbuZpTCbsR7/L36jqlspx7cpKElqY6mNasmB7rcIMRZZKpXh6ev7n1ZDTEQ3b34igoCBMTEwyyJ7Hx8ejrKxMly5dWLVqFatXr2bfvn0YGhrKVJGz4+rVq6xatYrFixdTu3btLNucO3eOtm3bUqtWLcqUKUOrVq3yHP7Sq1cvzp49S2JiIiNGjEBHR4c1a9bkaYx0atSowa1btzAxMaFly5acPXs29075oGjRomgUUct3/8SQl3w6sQR1o8rod7fNMQeoIAp+kCYuoqamlqUytaKwtLQkLi4Ob2/vHzaHiIiISEF59uwZjx8/zlPtWqlUypAhQ5BKpRw4cCDDM/bgwYNMmzaNmTNnygyKjh074uHhIbegYXp4sDyGra2tLRKJBC8vL6ZOncqECRPYvXt3tu3r16/PvXv3MDU1xcXFReHRTFkhkUiwsrLi2LFjMuPE0NAQa2trNm/eLNPC+NGGbUGfnd8jTU5CSMycfqToefKDg4MDd+7cwcHBQSGl/H4m6elka9eupUmTJmhra+Pp6UlISAhRUVGMHj0aPT09xo8fj6+vLzt27GDIkCGZatzmxtIeNVHJIRw5P6goSVjao+BlnwrTY3v//n0+f/4sGrYivx7f17CFtLqyN27c4ObNm5w7d46///4biUSCvr4+SUlJ2RY0j4yMZPDgwTRv3jzb079Dhw7RrVs3Wa29R48e5clbm07v3r2Jjo7mwoULaGpqMmnSJHbu3Ck7xc4rRkZGeHt70759e7p3754hr6egCILAs2fP2LJlC6v/mZUvJebkz8GEHV2ISvGSGPT5ByVV9WzbSoDyJTTzvd7Pnz+zdetWJkyYkKPoV0GpVq0a5cuXF8v+iIiI/NIcPnwYXV3dPImkrFmzBk9PTw4cOJAhIurcuXMMGzaMYcOGZShX16lTJ0JCQuTWi0g3bHMrC/T582cePnxI/fr10dPTY82aNYwdO5aRI0fi5OSUbT9DQ0O8vLxo1aoViYmJjBo1KlONUEVjbW1NeHg4Xl5esmuTJ08mKCiIM2fOAKCrq6tww1YqlfLo0SPWrVvHzHHD8vyMFqSppCZkFhZKDHlJ8qcA1Iwy1jwu6DNaEXz48IHZs2czcuRIubRNfiVSU1N58uQJ27dvZ9CgQVSqVAlzc3MALl26RPny5VmzZg3a2trMnz+fS5cu0aNHDyIiIgosjlVGT4OFXbMub5lf7LvWoIxewXVMCrOOrYeHB9ra2rmmJv5XyF4mV+SXIygoiPLly8v+393dndu3b6OlpcWdO3cyqMmVKFECSHtQamlpfT8UkydPJiIiAm9v7yylvzdu3MjkyZMZOnQojo6OXLp0idTU1HwZttWrV+ePP/7g2LFjWFpaMn78eFauXMmmTZtYtGhRnseDtELuR48eZdasWUyaNInXr1+zdu3aPMuYC4LAixcvuHz5Mt7e3nh7e/Pp0ydUVFRISUlBIzIUZZ3/bXSi7p9FmhBLakwEAPGv75AS/RkA7XpdQCIh9Igd0oQYtBv1JP713QzzqeoaoV76f3Vuy5bQQFM9/1/DDRs2IAgCU6ZMyfcY8iCRSLC0tOTs2bNs2rTptxWtEBER+e8iCAKHDx+md+/eMuXV3Lh9+zZz5sxh1qxZGYRVbt68Se/evbGwsGDHjh0ZfvOaN2+OhoYGHh4e1KpVK9c5QkNDUVdXzzU0eubMmQiCIKseIJFI2LJlC3FxcQwaNIgiRYrQo0ePLPuqqakxe/ZsLl68yL59+3j58mWea2vmhTp16lClShWcnZ1lnqC//vqL5s2bs2HDBnr27ImOjg7+/v4Fmif9sPny5ctcvnyZK1euEBERgbq6OiVLlkQw7py3ZzQC77cMRaNaC9T0yyJRLULypwBinl5ESV2T4s2sM8xf0Ge0Ipg6dSrq6up5qirxs4iOjub27dvcuHEDHx8fbt26RVRUFMrKytStW5cuXbpgamrKxIkTOXjwIG3btiU8PJxJkyZRrVra3sjNzY3ixYsrxIi3blCWzzGJrD7vV+CxZrSvilWDguXWplOYdWw9PDxo167db+/plxfRsP2NCA4OpkWLFgiCwOrVq5k1axba2tr06NEjg1EL/zNsw8PDMxjDkFZ4ft++fezduzfTPUEQ+Oeff1i0aBHTp09n5cqVSCQSrly5QsmSJalatWq+1t67d282b95MUlISJUqUYPTo0WzevJmZM2fmOy9UWVmZ1atXU6lSJSZMmMDbt285fPhwlob8t6/v5cuXMiPW29ub0ND/x95Zh0W1rXH4naFbRAELUUHFboxjYKGigi12d2BjtyImioWdYGOCiaBi1zGxW1FAQEBy1v2DyxyRLvXeM+/z8OjsvfZaaw/MrP1bXwWirKxM5cqVKVeuHK9fv+bVq1dIJBKKq0bwQQJJOQjCrx4iIfwfS3PUE3944g+AdvnE5FoJ4V8ACD2/NcX4WhWayIWtklSCVen0d/DTIzQ0lJUrVzJ06FAKFiyY7X4yi42NDa6urjx48IAKFSrk+XgKFChQkBUuX77Mq1evMp0NOTQ0lK5du1K9evVkm6wPHjzAxsaGGjVq4OHhkaJUnrq6OlZWVnh7e6eIx02NpFI/6W0ICiHYs2cPBQsWlCdqhETLzqZNm4iOjqZLly4cOXIkTZfCJGvzypUrmT17NjVq1ODQoUPUqFEjwzlmFYlEQteuXVmxYgXr169HTS3RM2n06NF06tSJO3fuZMsVOWmNThKySZvNKioqVKxYEQsLC54/f86nT5+Ii4ujrFYMr7OwRivp5Ee7cnOiX/9NVMAlRFwsStr50bJoiF7dLijn+2cjIKdrdG5w8uRJ9uzZw44dO8ifP/9vncvPCCF49eoV/v7++Pv7c+nSJXnlDH19ferWrcukSZOoW7cuNWvWREsr0fL97t07Ro4cKXdjf/r0KfBPRuRjx45hbW2da0JshJU5BbTVmHnkAfEykW5SqZ9RkkpQlkqY07Z8rolaSPz8SCSSPLfYfv36lStXrrB+/fo8HedPQiFs/0dISEjg3bt3GBsb07NnT3bt2sXkyZM5cuRIqrvASbW1goODkx3/+PEjgwYNokOHDvTq1SvFGCNGjGDdunUsWrQo2YLt6+tLgwYNsm2p69ChA/PmzcPHxwdra2vGjh2Lq6srbm5uOU6EMHToUExNTencuTMNGjTg2LFjFC6cmABACMHTp0+TWWQ/ffqEkpISNWvWpHPnzsTHx3Pjxg2uX7+OpqYmrVq1IjAwkFGjRtF/TD+arfCTj1V0WNqxTkkUd8xc9uAEmaCabvq11tLD1dWVmJiYX5ZIolGjRmhqanL8+HGFsFWgQMEfx65duyhatCj169fPsK0QgsGDBxMSEsK5c+fkD9GvX7+mefPmFCtWjCNHjqRaJx4S3ZHHjBnDt2/fMtyczaiGLcDWrVuJiopi/PjxKc4pKyuzc+dOOnbsSLt27Thx4kQy8ZtEkrAtWLAgN27coH379vz111+4ubmlWO9zgy5dujBnzhy8vb2xtbUFwM7OjmLFiuHi4oKJiUmGwlYIwfPnz5MJ2Y8fP6KsrEytWrXo0KED379/58qVK9y6dYv8+fPToUMH7O3tadCgAS+CorK8RudvOihT95cgE9hVMMhU27zg+/fvDBs2jCZNmmSrdFVuExsby+3bt+XWWH9/fz5+/AhAmTJlqFu3LiNHjqRu3bqUKVMmWaz6jyR5UyS5yyeV+jEzMyMwMJDr168zYsSIXJ1715om1CtVgCmH7nHhWRBKUkm6AldJkpj9uG5JAxa0q5gr7sc/I5VK81zYnjlzBplMhrW1dZ6O8yehiLH9H+Hjx48kJCSwatUqDh48iIeHBwsWLCAmJibVrHA/uiInIYSgX79+qKqqsm7dumQiNTY2lm7duuHm5sbGjRuTidrv379z7dq1bLkhJ1G5cmVKlSrFgQMHAChatCg9evRg2bJlxMTEZLvfJFq2bMnFixf5/Pkz1apVY+bMmXTv3p2iRYtSpkwZhg8fzsuXL+nduzd79+7FxcUFLS0tVq9ezcaNGzE2Nmb37t18/vyZFi1aEB0dzdChQzE30sFCPzEuJzeRIpAEBmBrVZt27dpx9+7dLF0fERHB8uXLGTBggDy9fV6jrq5Os2bNFGV/FChQ8McRFxfH3r17sbe3T/OB+kc2bdrE3r172bhxo7x0ypcvX2jevDlqamp4e3unm7egRYsWxMXFce7cuQzHykwN2/nz56OsrMzUqVNTPa+iosKePXto0KABbdq0wd/fP0UbfX19VFRU+PTpE0WKFMHX15du3brRu3dvxowZI0/qlFuUK1eOSpUqJcuOrKyszPDhw9m9ezdKSkqpCttXr16xZcsWevXqhYmJCebm5gwZMoTnz5/Tq1cvtm/fzsyZM4mOjmbdunUcOHCAmjVrcvz4cT5+/IibmxtWVlYoKSllmP02u0gQxLy+Q4u6Vdi4ceMvK8vyI/PmzePdu3esWbPmt4T/BAUFceTIERwdHWnQoAF6enrUrl2bqVOn8vnzZ3r37s2RI0f48uULjx8/ZvPmzfTv3x8LC4t0P4M/Z0V++vQphQsXRltbmxMnTiCRSLIUI59ZiuXXZEd/S9a0LoTq6yvEhXyAn2K0JUBcyAdq6cdwZkwDdvS3zBNRC4leh3ntiuzl5UX58uVT5Of5f0YhbP9HOHHiBJAoaC5evEiXLl2Af8r9/IyWlhaqqqrJLLZr167F29ubLVu2yC26SX22bt0aT09P9u/fT//+/ZP1deXKFeLi4nIkbCUSCR06dODQoUPyxXXChAl8/PiRnTt3ZrvfpN3ejRs3snjxYhISEggMDGTOnDncuHGDHj16cOLECd69e8eYMWN4/PgxPXr0YOTIkchkMtatW8enT584cuQI9vb2aGlpsX79elq2bEmRIkWYNm0aZxYOQJqjankpUVFW4tyiAWzbto179+5RpUoVOnXqxP379zN1/bp16/j27Vum3OByExsbG/z9/QkJCfml4ypQoEBBepw+fZqgoKBMZUN+8OABo0aNYtCgQXTq1AlIjA1s1aoVYWFhnDp1KsMNw1KlSmFmZpapsj8ZWWyfPHnC8+fPadq0abqxwerq6hw6dIjq1avTsmVLbt68mey8RCJJVstWXV2dTZs24erqiqurK9bW1sk2u3ODrl27cuTIkWSJKgcOHIiSkhJ37twhIiKCV69esWPHDvr160eJEiUoUaIE/fv358GDB3Tp0oVjx44REBBAz549uXjxIr169WL+/PmULFmS/fv38/nzZ3bs2EGrVq1SfX8Ss9+SQqTkBFVlJTyndqVp06YMHDiQ6tWr4+Pjk2v9Z8SDBw9wdnZmypQplC5dOs/Hk8lkPHz4kI0bN9KvXz/KlClDwYIFsbW1Zfv27RgZGbFgwQKuXr1KWFgYfn5+LFy4kDZt2iR7nswMPwvbJ0+eyO/x+PHjWFpa5kl4VVxcHPPmzcPOqjaSW/s52K8SD2a34PjIvzg0tC7HR/7F/VnWFL7lRsJ1jxyX9MkIJSWlPN0wEULg7e39r8mGnIRC2P4PsGnTJoYNGwbAhQsXqFatmvzc9+/fU7XYJmVGThK2AQEBjB8/nmHDhiX7Iw8ODqZJkyZcuXIFb2/vVBNT+Pr6kj9/fsqXz1l2uY4dOxIUFCQv6m5hYYGdnR3Ozs6Z/nALIXjx4gWbN2+W7/aamZkxePBgAgIC6NGjB/v27cPa2ppnz54RERHBzp07MTMzo2vXrnz8+JFFixbx7t07zp07x8CBA5PFrdy6dYvr16/TqVMnmjZtysKFC5kzcRQL2lfJ0b3/zNCa+SlRUJdevXrx6NEjNm3axI0bN6hUqRL29vY8fvw4zWu/f//OkiVL6N27NyYmuRfzkRlatWqFTCbLUg1HBQoUKMhrdu/eTbly5dIsXZfE9+/f6dKlCyVLlmT58uUAxMTE0K5dO548eYKXlxdmZmbp9pFEy5Yt8fLyyjAzb2BgYLoZkceOHQuQqTJ4mpqaHDt2DAsLC5o3b54iM/OPwhYSnwWGDx/OmTNn+Pvvv6lZs2aWPYTSo0uXLkRFRSXz5ImJiaFOnTryLPolSpSgV69e3Lx5E1tbWzw9PQkODubMmTNYWFiwYsUKypQpw5gxY8iXLx87duwgMDCQffv20aFDhzTdwZNQjglD3NgHuWjVnNO2PJblS7Fz506uXLmChoYGjRs3pl27djx79izXxkkNmUzGkCFDKFmyJI6OjnkyRmRkJOfPn2f+/PnY2NhQoEABypcvz+DBg7l9+zZNmzZl165dvHz5kvfv37Nv3z7GjBlDrVq1Mp2YLS3SEraxsbGcOnWK1q1b5/j+fubu3btYWloya9Ysxo8fz61bt7C0tERLTZnyhfWoaqJP+cJ6aKkpY2dnh5eXF9HR0bk+jx/Ja1fke/fu8fHjR4WwVfDnEBcXx6hRoxgwYAA1atRAW1s7xYIbHR2dZoFqAwMDgoKCiIuLo0ePHhQrVozFixfLz79794769evz4sULfHx8Uo3ZgURhW79+/Uy5d6VHjRo1MDExYf/+/fJjkyZN4smTJ3h6eqZ53atXr9i6dSu9e/fG1NSUUqVKMWDAAB48eEDnzp05evQowcHBXL9+HScnJwoUKICJiQmqqqqsWbOGkydPMmnSJJ4+fcrVq1dxcHCQx+D+zPr16zEwMJDPy8fHh8mTJ2NvWZzxzf+7a5rDXeG4mwcYY1sba2trTpw4gZKSEv369SMgIIB169Zx6dIlypcvT8+ePeVJFX5k48aNBAUF5dmClx5FihShatWqCndkBQoU/DFERkbi6elJt27dMnTZHDNmDC9evGDPnj1oamqSkJAgtxQePnyYqlWrZnrcFi1a8Pr1awICAtJsI4RI12IbFxfHyZMnKVGiBOXKlcvUuDo6Onh7e1O8eHGaNm2abPyfhW0SDRs25ObNm+jr61OnTh327NmTqbEyomTJklStWpWlS5cybNgwLCwsKFy4MOfOnZPHUK5atYovX75w9+5d5s2bR2RkJL1798bIyIiBAwcm8546duwYPXr0yDCDdBJv3ryhQYMGRN07Te+quZNc6efst5aWlvj7+7N7925u3rxJuXLlGD9+fJ7V6N2yZQsXL15k3bp18qRcOeXdu3fs2bOH0aNHU6NGDfT09LCyspIbFhwcHDh9+jShoaHcvn2b1atX061bN0xNTXPdDTpJ2MbGxsrzoJibm3PhwgW+ffuGjY1Nro0VGxvLzJkzqVGjBvHx8Vy9epUFCxak+dwMiXHiERERmQozyAl57Yrs7e2NpqZmpnIO/D+hELZ/KMHBwbRo0YK1a9eyZs0aatWqRfHixVO0S8sVGRKFbXBwMPPmzePOnTvs3LkTTc3EWIGAgADq1atHZGQkly5donr16qn2ERMTw5UrV3LkhpxEkjvywYMH5R9mS0tLrKyscHJyku96v3nzhm3bttG3b19MTU0pUaIE/fr14969e3To0IHDhw8TEhLCzZs3Wbp0KTY2Njx9+pSxY8diYmKClZUVp0+fxsHBgYkTJxISEsLt27fTFLNJhIaGsmXLFoKDg6lcuTJ37tyhQYMG8vMjrMwZXiMfsvhYJFl0TVaSSlBTlrKofUVeHF3L9u3bCQ4OxsbGBgsLC3nG6EGDBvH06VNWrVrFuXPnsLCwoG/fvvKSCTExMTg7O9OtWzdKlSqVpTnkFq1bt8bb2zvX47UUKFCgIDskucJm5Ia8b98+1q9fj4uLC+XLl0cIwciRIzlw4ADu7u7y+pqZpVGjRvJ43LT49u0b0dHRaQpbJycn4uPjmTx5cpbGzpcvH6dOnaJAgQI0adJEvkakJWwBTExMuHjxIu3ataNr1644Ojpmy2IUEhLCoUOHGDVqFBUrVuT27dtcv36d06dP07BhQzw8PPj06RO1atUCoGrVqly4cIEuXbpgaGhI9+7dCQoKYsmSJbx//56zZ88ycOBAeW6QzPL8+XPq169PQkICFy5cYHbnOji1r4gSMoQsa+vTj2v0cKuUFnuJRCL3ppoxYwZr167F3NyctWvX5upa+OXLFyZOnEivXr3SNDZkRHx8PDdv3mTVqlV07doVExMTihUrRteuXTl+/DjlypVj9erV/P3334SEhODt7c2MGTNo2rRptqtUZAWpVIqSkhJxcXF8/PiRyMhISpcuzbFjxyhSpEiGXheZ5ebNm9SoUYMFCxYwZcoUbty4keaz7o+UK1eOUqVKcfjw4VyZR1rktSuyt7c3jRs3zrXNkf8ZhII/jr///luUKFFCFChQQJw/f14IIYStra1o2bJlsnaxsbECEFu3bk21n44dO4qaNWsKJSUlMWfOHPnx69eviwIFCohy5cqJt2/fpjuXCxcuCEDcvHkzh3eVyKVLlwQgLly4ID+2Y8cOAQhra2tRokQJAQhAVK5cWYwePVp4enqK4ODgFH09fPhQTJ8+XZiZmQlAGBkZiZEjRwp/f38hk8nk7Y4cOSI0NTVFzZo1xcePH1Od16dPn0TZsmUFIMaNGyfi4+NTtJHJZMLKykqUrlZXdNtwWRR3PCZKTjkuijseS/Mn6XyPjVfEm+DIFP1dvHhRdOrUSSgpKQldXV0xZswY8eLFCyGEEN+/fxcuLi7C2NhYKCsriwEDBogFCxYIiUQiHj58mK33Pze4cuWKAISfn99vm4MCBQoUJGFjYyPq1q2bbpsXL14IPT090blzZ/n6MHPmTAGIDRs2ZHvs5s2bC2tr6zTPP336VADi3LlzqZ43NDQUGhoaydasrPDhwwdhbm4uTE1NxZs3b8T06dNF0aJF071GJpOJJUuWCKlUKlq0aCFCQkLSbR8aGiqOHDkixowZI6pUqSIkEokARMmSJUX//v3FypUrUzyLxMbGitGjRwtAqKmpCUBUqVJFODk5iZcvX2brXn/k4cOHolChQqJ06dLJnmOCg4OFfjFzUX3clhyv0enx/v170adPHwGI8uXLi5MnT+b4noQQolevXiJ//vzi8+fPmb4mJCREnDhxQkydOlVYWVkJTU1NAQhVVVVRp04dMX78eHHw4ME0n39+B+rq6sLFxUWcP39eAOLhw4fCzMxMDB48OMd9f//+XUyePFkoKSmJqlWritu3b2e5j3HjxgljY2ORkJCQ4/mkhYGBgVi4cGGe9B0eHi5UVFSEq6trnvT/J6MQtn8YBw8eFFpaWqJSpUrJvvyrVasmBg0aJH8dER0nrj39IFQLlRbLNu8VEdFxKfrq16+fUFNTE5aWliIuLvH82bNnhba2trC0tBRBQUEZzmfevHlCV1c3VaGXHRISEoSRkZGwtrYW/fv3F6VKlZILWW1tbTFq1Chx8ODBNOf26tUr4eTkJCpXriwAoaenJ/r27StOnTolv8fUuHnzpihUqJAoXry4uH//frJzPj4+cvFYp06dNPvw9PQUgDh+/LgQQognn8LFzMP3RYPF50Rxx6PJFkuTSUdFBcd9Yubh++JpYHiG78vr16/FpEmThL6+vpBIJMLW1lacO3dOyGQyERkZKZYuXSoKFiwof5h48+ZNhn3mFQkJCaJgwYJi0qRJv20OChQoUCCEEF++fBHKysrpPsDFxsYKS0tLYWpqKkJDQ4UQQri6ugpALFiwIEfjL1u2TKipqYnIyNRF0cWLFwUgHjx4kOKcn5+fAETPnj1zNIc3b96I4sWLC3Nzc7FgwQKhoqKSqQfyU6dOCX19fWFmZpZsXQwPDxfHjx8XEyZMEDVq1BBSqVQAwsTERPTu3Vts3bpVvH79OllfDRo0ENbW1uL8+fNiyJAhokCBAvK1vVixYuLRo0c5uscfuX37tihYsKCoWLGi+PTpU7Jz48aNE1paWuLTp08/rdHJBa2p4zHRYPG5TK/RaXHjxg1Rv359AQgbG5sc3ee5c+cEIDZu3JhmG5lMJgICAsSWLVvEwIEDRbly5eTvc8GCBYWdnZ1wdnYWly5dEt+/f8/2XPIaXV1dsWTJEuHm5iakUqm4d++eAMSRI0dy1O+VK1eEhYWFUFFREfPmzROxsbHZ6ifps3n58uUczSc9DA0Nxbx58/Kk76Tn1WfPnuVJ/38yCmH7h5CQkCBmzZolANGxY0cRERGR7HyBAgXEuDmLE7+knc8J09S+pJ0Tv6SffEr8kq5ataqQSCTiyZMnQggh9u/fL1RVVUXz5s3Ft2/fMjWvZs2aiVatWuXo3t6/fy927dolBgwYILeuJu1yjhgxQhw4cEBs2LBBAOL69esprg8MDBSurq6ibt26AhAaGhqic+fO4tChQyI6OjrT83jz5o2oWLGi0NXVFadPnxYJCQli7ty5QiqViurVqwtAHDt2LNVrY2JihJmZmWjevHmqO+vu+w4KFcMS4vy9V+L++1DRrlPXDC0IqREZGSnWr18vX6wqVaokNm7cKKKiooSbm5sARL58+YSqqqoYMWKEeP/+fZbHyA369Okjypcv/1vGVqBAgYIk1qxZI5SUlNK1cE2aNEkoKyuLK1euCCGE8PDwEBKJRDg4OGTbUprEw4cPBSBOnDiR6vkDBw4IINXN2tq1awtABAYG5mgOQgjx/PlzUbhwYVGsWLE0x0uNZ8+eiXLlygl1dXXRvn17YWlpKZSUlAQgChcuLLp37y42btwonj9/nup7JZPJxNWrV0Xjxo3la7uJiYmYOHGiuHHjhgCEkpKSePfuXY7vUYhE4ZIvXz5Ro0aNFPf46tUroaqqKmbNmpXiutM+fkLFsIQ45Hdb3H8fmqoxILvIZDKxb98+YWpqKpSVlcWoUaNS9TJLj+joaFG6dGnx119/JduUiIqKEhcuXBBOTk6ibdu28g0DiUQiKlSoIAYNGiS2bdsmnj59muO/5V+JgYGBWLBggZgwYYIoUaKEWLp0qVBXV09zgygjoqKixLhx44RUKhU1a9ZMYcDIKvHx8aJAgQJ5uoFfqFAhMXv27Dzpe8iQIcLMzCxP+v7TUQjbP4Bv376J9u3bC0DMnTs3xZfTk/fBwrDLnCy51VgvPCqU9YyEqqqqEELId8W6dOkiYmJiMjWv2NhYoaWlJRYtWpSl+/nw4YPYvXu3GDRokChdunQyITt8+HC5gE96yBAi8UukVKlSomPHjkKIRNenLVu2iObNmwslJSWhrKwsWrVqJXbs2CHCw7O/uxoWFiZatGghlJSURPny5YVEIhEzZswQffv2FSYmJmlappctWybfVUyNvXv3CkBuDVizZo1QVlbO9lxlMpk4deqUsLGxEYAoUKCAyJ8/v2jevLkIDw8X8+fPF/r6+kJNTU04ODj8chejffv2CSBXXMoUKFCgILvUq1cvRZjOj5w8eVIA8nXs1KlTQkVFRfTo0SNX3AxlMpkwMTERo0aNSvV8kvD+eazQ0FAhkUhElSpVcjyHJB49eiTy5csnAOHv759mu6ioKHH27Fkxbdo0Ua9ePaGiopJsnV6zZo0ICAhIUyjJZDLx999/iylTpoiSJUvKrYUSiURMnDgx2XU6OjpCTU1NTJs2Lcf35+vrK7S1tUW9evXka+2P9OzZUxgZGaW6cX/ixAkB5JrATo3v378LJycnoaOjI/T19YWLi0umLYazZ88WysrKwsfHR+zfv1+MHTtW1K5dW/670dLSEk2aNBHTp08XXl5e4uvXr3l2H78CY2NjMXv2bGFrayusra1F48aN0/0cp8eFCxeEubm5UFNTE4sWLUrXey8r9OvXT5QtWzZX+kqNIkWKiJkzZ+Z6vzKZTJiamoqRI0fmet//CyiE7W/mxYsXomLFikJbW1t4enqmOO9+7bUwn3pcmEzwTFfQ/vxjMvGwKD7hkNCu1FzMmTNHAGLYsGFZcilOiqX8UYCmxsePH4WHh4cYPHiwKFOmjHyBtLCwEEOHDhV79+5NtiMdHx8vChYsKCZMmJCsn1WrVglANGvWTKipqQmJRCIaNmwo1q1bJ758+ZLpeWeEj4+PPAalS5cuIiQkRGhqaiaLQ/6RoKAgkS9fPjFkyJA0+3R3dxeA3NL++PHjdHfxs8KTJ09EixYt5Dvf9vb24sqVKyI0NFTMmTNH6OnpCQ0NDTF+/PgsxeXkhLCwsAzd/xQoUKAgL3n58qUAxM6dO1M9//HjR2FoaCiaN28uEhISxLVr14SWlpZo2bJltl0UU2Pw4MHC3Nw81XMzZ84UhQoVSnF8yJAhubZG/Mjx48fl62/Sxmp0dLTw9fUVs2bNEg0bNpTHvBoYGIgOHToIV1dXcf/+fTFv3jwhkUhE27ZtRVhYWIq+nzx5IubMmSP3KNLX1xcDBgwQZ8+eFfHx8aJZs2aiUaNGya4xMTERNWrUEAULFsyRa+zJkyeFhoaGaNy4cQqPNiGEuHPnjpBIJGLNmjWpXr9nz55km895yadPn8TAgQOFRCIRZcqUEceOHUt1kyA+Pl7cuXNHzJw5U0ilUvmmBCCKFy8u7O3txapVq8StW7dyTaz9CUREx4lileqIwVOdRBnLJqLfoKFCWVlZrF69Omv9RESIUaNGCYlEIurUqZOr7u5CCHH48GEB5Hq/SZiYmOTKhs/PJD1/JoXN/dtQCNvfyLlz54SBgYEoVapUqm4Tq849yZKYTfmTGPepW6ezmDlzZpbdVBYtWiS0tLRSPAAEBgaKPXv2iKFDhwoLCwv5F3HZsmXFkCFDhIeHR4q4l58ZNGiQKFGihIiJiREnTpwQPXr0ENra2nLr5JIlSzJMbJVVEhISxMKFC4WSkpJo0KCBmD59upBIJKJatWpCKpWm6dY7YsQIoaurm65oTEqAlbRwy2QyUaRIETFu3LhcmXeFChVEkyZNxIoVK+Q75JaWlmL37t0iMDBQTJ8+Xejo6AgtLS3h6OiYaTe0nNC4cWPRokWLPB9HgQIFClJjwYIFQlNTM1ULXUJCgmjWrJkwMjISnz59Eo8ePRIGBgaiTp06qQqjnHDo0KE049mGDBmSqlU2yaqX20RERMgTNpmamopGjRoJDQ0NeRiLra2tWLFihbh7926qFutjx44JXV1dYWFhIQICAsSbN2/E4sWL5eE62traonv37uLYsWMpvL82bdokJBJJsrW0cuXKonv37gIQmzdvztY9HT58WKiqqgobGxsRFRWVahtra2tRunTpNDcsNm7cKIBcyxeSGe7cuSOsrKzkG/aXL18Wp06dEjNnzhTNmjUTOjo6crdiVVVVMXz4cLF37948tSr/LuTxzqmE0hWfdFQUHuwmxuz0l4fSZYSPj48oWbKk0NDQEMuWLcuT32tUVJTQ1NQUTk5Oud63EEKUKFFCTJ48Odf7XbFihVBTU8v177n/FRTC9jcgk8nEqlWrhJKSkmjatGmqsRju116L4o7HRLGx+4RePXuhXqKakKonCj+DVg7pW2sneAoVg8Q4m3xW/URxx2PC49rrVGaSPq1atRLNmjUTnz9/Fvv27RPDhg1LlqigdOnSYtCgQcLd3V18+PAh0/0mJCSIJUuWyJM/JYni2bNni/HjxwsVFZVc/2L/8uWLaNWqlQDElClT5LufBw4cEBKJJM0shA8fPhRKSkrC2dk53f63bt0qgGS7qj179hRVq1bN8dyTHpqSMknHx8eLw4cPy2OaChcuLObNmyceP34sJk+eLLS0tIS2traYNm1ahtkuc0JS0pR/65enAgUKfi8VKlQQ9vb2qZ5zcnISEolEnD59Wrx9+1YUK1ZMlCtXLsuxj5khyYMlNYtT+/btU2RNTvLwmThxYq6MHxcXJ65evSqcnJyEtbW1fI1O2ih2cnISN2/ezPTD/8WLF4WRkZE81lZNTU106NBB7Nu3L90YyJCQEKGioiJWrFghP9awYUPRvXt30apVK1GlSpUsb7B7eHgIZWVl0bFjxzTDqM6cOSMAsX///jT7WbFihdDU1MzS2DlBJpOJ58+fi+3bt4sWLVoIVVVV+e9EX19ftG7dWixYsEBMmTJFAMLLy+uXze1X8iY4UvTYeCXXMlSHh4eLoUOHCkA0aNBAPH36NE/nb2dnl25S0ZxQqlSpPInhtba2Fs2aNcv1fv9XUAjbX0x0dLQYMGCAAISDg0Oq7iVvgiNF6WknRHHHY6LIkE2JLqi6BYWaScVMCVv9xv2FREU9mbAtPe1EplPZf/nyRezZs0eoqqoKQ0ND+Zexubm5GDhwoNi1a1eWkxbJZDJx8+ZNMW7cOFG0aFEBCKlUKmrXri1u374tX+zCwsKEnp6eGD9+fJb6T4+LFy+KokWLCgMDgxSLx+XLl+U72SVLlkzhctKqVStRsmTJDJNUJe0G/7hob9myRUgkkhxZT2UymahevXoK964k/v77bzFgwAChrq4u1NTURL9+/YSPj4+YMGGC0NDQELq6umLWrFl54n715MkTAYjDhw/net8KFChQkB53794VgDh69GiKc/7+/kJJSUlMnjxZBAUFCQsLC2FiYpLrXkA/0qhRI9G6desUx+vVqyd69eqV7FjZsmWFkpJSmtbHjIiPjxc3b94US5YsETY2NkJXV1ceh2ltbS0MDAxE9+7dxalTp4Samppo27Zthq7XISEhYtOmTaJZs2ZCKpUKJSUlYWhoKM9DkVlB2qZNG1G7dm35a1tbW2FjYyOPdfb19c30fW7ZskVIpVLRs2fPNF1xExISRLVq1UTt2rXTnePcuXOFoaFhpsfOKtHR0eLy5cti6dKlon379sLY2DiZN1ufPn1E586dhba2tjwj8MePH0XBggVFly5d8mxevxP3a69F6WknMhS0qQnc0tNOCPefDDKnTp0SxYsXF1paWmLVqlV5Woonia1btwqJRJIneUxKly6dq8+6QiRamdXV1cXSpUtztd//JaQo+GUEBgbSuHFjtm/fzpYtW1i+fDnKysop2k05dI94mQBASTs/RUfsoOiwLehb9ctwjITIUEIveaBbu0Oy4/EywZRD91K9Jjg4WF5svVKlShQsWJAuXboQGxtLzZo12blzJ2/fvuXJkye4ubnRrVs3ChcunKl7DggIYNasWZQtW5bq1auzfft22rZty4ULF+jVqxchISFUrlwZiUQCgK6uLsOGDWPdunV8/fo1U2OkhRCCJUuW0LBhQ4oXL86dO3do0aJFsjbr1q2jRIkS3Lx5E3V1derUqcP58+cBOHXqFCdOnMDZ2TnDAtcJCQlIpVL5fQA0btwYIQS+vr7Zvgdvb29u3rzJtGnTUj1fsWJFNmzYwNu3b5k5cyYnT57EysqK69evs2bNGvr27YuTkxOmpqbMnz+fb9++ZXsuP2Nubo65uTnHjx/PtT4VKFCgIDPs3r0bAwMDrK2tkx0PDQ3F3t6eWrVqMXHiRFq3bs2XL184deoURYsWzbP5tGjRgnPnzhETE5PseGBgIEZGRvLXr1+/5vHjxzRs2BANDY1M9S2Tyfj7779xcXHBzs6OAgUKUL16daZPn05MTAwTJ07k0qVLfP36FW9vbywsLJBIJDRr1oyDBw/i5eVFz549SUhISNZvREQE7u7u2NraYmRkxIABA4iPj2ft2rUEBgby8eNHpk2bxpw5c+jSpQuRkZEZzrVr165cuXKFV69eAZAvXz5CQ0Np1qwZFhYWuLi4ZOqek9avAQMGsHXr1lSflQA8PDy4desWzs7Oydbfn/n27Rs6OjqZGjszfPnyhcOHDzNp0iTq16+Pnp4ederUYerUqQQFBdG3b1+OHj1KUFAQjx49YsuWLezZs4cXL17Qo0cPJk2aRJkyZYiIiGDZsmW5Nq8/BVefpzgevEdMvIyE/z7PZpYEmSAmXobjwXu4+jwlLCyMgQMH0rx5c0qVKsW9e/cYMWIEUmneS5jWrVsjkUg4evRorvetpKSU4jOZU3x9fYmOjk7xrPuv4ncr638LN27cEEWLFhXGxsbp1sV68ik8zV0s497LM7TYalVsKlQLlRaFh2xMZrFN+nkaGC6Cg4PFoUOHxOjRo0XlypWTFVvv16+f2L59u5gxY4ZQV1fPUjmdJN68eSOcnZ1F1apVBSB0dHRE7969hbe3d7Jd12PHjgkgRabhT58+CTU1tRzV9woODhZt2rSRu3ultlsdEhIi1NXV5XUMv379Kpo2bSpUVFTE5s2bRfny5UX9+vUztVO9evVqoaKikuK4mZmZGDZsWLbuQSaTiTp16mS4E/0jsbGxwsPDQ9SpU0cAokSJEmLGjBli0KBBQlVVVeTPn184OTllutxTRowZM0YULlxYyGQyEREdJ+6/DxW3XofkejkFBQoUKEgiISFBFCtWLEVCP5lMJjp06CDy5csnT7qnra2dahm53ObOnTsCEGfOnEl2XEdHRyxevFj+OqkCwu3bt9PsSyaTiQcPHghXV1fRoUMHYWBgIAChqqoqGjVqJGbPni38/PzSXJ87duyYzBXxwIEDQklJSfTp00dERkaKQ4cOiS5dusiTKNauXVusWLEiTU+sAwcOCC0tLVGxYkXx/PnzdN+Hb9++CQ0NDXkW6uGjx4qydZqKW69DxMwVG4SSmmaG2fQXL14s92pLb+2Ljo4Wpqamom3btun2J4QQQ4cOzXYG6oSEBHH//n3h5uYmevfuLczNzeXW2MKFC4tOnTqJ5cuXi2vXrmW66sT27dvlfTRq1Cjdv4f/NZJC6VI8n1ZoksxN/uefIsO3pnpd0YadhY6Ojli/fv1vKWnUsGHDHJe9TI3y5cuL0aNH52qfo0ePFiYmJv9TpZ9ym9S3wBTkKu7u7vTr14+KFSty6NAhihQpkmbbXVffoCSVZHmHCyDmQwCR989h3GMRElLuXEqEDBuHRTz1WIAQAlNTUxo1asTYsWPlVs0k7OzsqF27doaWyiS+fPnC/v37cXd358KFC6ipqdG6dWumTp1Kq1atUt2Zbtq0Kbq6uhw4cIAKFSrIjxsZGdGvXz9cXFwYM2YMmpqaWXofrl69SufOnYmIiODo0aO0bt061XY7duwgPj6evn37Aok7yydOnGDo0KH065doHb927Vq6u8BJJCQkpLqj3LhxY86dO5el+Sdx/vx5Ll++zPHjxzM1BwAVFRW6dOlCly5duH79Oi4uLixcuBBVVVXs7e2JjY1l+vTpLF26lEmTJjF06NAsv78/UrVhS7bei6TO/JMERibw41+tBDDJr4lVGUO6W5pgbpR7u+UKFCj493Lp0iXevn1L9+7dkx13c3PjwIED7N27l1mzZnH27FlOnDhBjRo18nxOlSpVolChQnh7e9OkSRMAvn//zrdv3+QW24SEBI4dO0axYsWoUqWK/FohBE+fPsXHxwcfHx/Onz9PYGAgKioqWFpaMmzYMKysrKhdu3amrLzGxsYEBATIX7dp04bx48ezaNEidu3aRVxcHJUrV2b69Ol06dKFEiVKpNtf+/btKV26NHZ2dtSsWZM9e/bQtGnTVNtqa2vTpF13Nt0J5/hiH15rWEHDxrRb6w8UoojDHmzW3aBT3cgU64IQgrlz5zJz5kymTp3K3Llz01371q5dy5s3bzLlNRQREZFpi21kZCTXrl3j0qVL+Pv7c/nyZUJDQ5FKpVSuXJnmzZsze/Zs6tati4mJSabX5yTi4uJwdnamZs2aTJ8+nYkTJ1KtWjX69+/P3LlzMTY2zlJ/fxJvQ6KYeeRBqud0qrZA3bTKT0cFISdXo6xnhLJOgRTXCCFQtuzGKdf51K5glvsTzgR2dnY4OjrmutU/Lyy23t7etGjRIst/k/9PKFyR85CEhAQcHR3p1q0bnTp1ws/PL11RC+AT8DlbolYIQcjp9Wha1EetiEXqbSRSJEUqsHnzZl6+fMnLly/ZsmULvXr1SiZqZTIZFy5coGHDhumOGR4ezvbt22nZsiWFChVi5MiRaGlpsW3bNj5//sz+/fvp0KFDmguxmpoabdq0Yf/+/SnOjR8/nuDgYLZs2ZKl92DFihXUr1+fwoULc/v27TRFrRCC9evXY2dnl2wRUVFRYcmSJWhpaQHg4uKSwrUsNeLj41FSUkpxvHHjxjx+/JgPHz5k+j6SmDt3LlWrVqVly5ZZvhaQu5G/fv2asWPHcuLECdzd3alXrx41atRg0qRJlCxZEhcXF75//56lvt+GRNFz01WmX4lFp5oNn34StZC4Bfs6JIodV1/TbIUfPTdd5W1IVLbuRYECBQqS2LVrFyYmJtStW1d+7P79+zg4ODB48GAuXryIu7s7O3fuTFOA5TYSiYQWLVrg5eUFQGRMPBcfvEK1UGliNQ2JjIln+fLlxMbGMm7cOF68eMGmTZvo0aMHRYsWpUyZMgwfPpzXr1/Tr18/Tp06xdevX7lw4QJz5szBysoq067LxsbGfPz4ET8/P4YNG0bhwoVZtGgRhoaGxMXF0bt3b27fvo2jo2OGojaJChUqcP36dWrWrIm1tTXLli1DiOTf+knrwj0TO6KL1eJ1SBT8tMkukUiIlGiw48qrZOuCEAJHR0dmzpzJ/PnzmTdvXroP52FhYcybN49+/fpRrly5DOf/7ds3tLW1Uz339u1bPDw8GDVqFDVq1EBPT4/GjRuzZMkShBCMHTuWM2fOEBYWxq1bt3B1dcXe3p7ixYtnS0AsXbqUR48e4ebmRps2beRu5gcOHMDc3BwnJyeio6Oz3O+fwI+hdD+jVsQC7QpWyX6U9YwQcTFolWuU6jUSiQSpsgqrrwbn4azTx9bWlpiYGE6ePJmr/Uql0lwVti9fviQgIODf7YaMQtjmGWFhYbRt25bFixezZMkStm3bhrq6errXRMTE8yabD/6R984Q9+U1+o36pNsuRlmHTvY9MDU1TbPNgwcPCAkJSVXYRkdHc/DgQTp16oSRkRG9e/cmIiKClStX8vHjR7y8vOjVqxe6urqZmnfHjh25f/9+st1lgJIlS9KlSxcWL15MXFxchv2EhobSoUMHxowZw8iRI/H19cXExCTN9pcuXeLhw4cMHjw4xbkFCxIt2mvXrmX//v00a9aM4OD0v1TTsthaWVkBZNlqe+nSJXx8fJg2bVqOd94KFSrEnDlzePPmDVu2bCE0NBQvLy9MTU0pWbIkY8eOxczMjNWrV2dKxHtcf0PT5b74v0h8TyTSlIL+R5I2avxfBNN0uS8e19/k6H4UKFDw7yU2NpZ9+/bRrVs3eYxdVFQUXbp0wczMjEKFCrFy5UpWr15N586df+ncqjZsyYdC9ai78DQVZp1k4IEXFOq9jLk34qkw6yQuL/KTv9lglm3cTalSpRg0aBABAQF0796dEydO8PXrVy5fvsyCBQto1qyZfIM1swghuH79Or6+vgQFBdGwYUOOHz9Ov379uHXrFp8+fWLVqlVs27aNmTNnZvn+9PX1OX78OOPHj2fcuHH06tVLvima5XXhv9onaV2wHeuMs7Mzy5cvZ8qUKRnOZdGiRURFRTF79uxMzT3J2hYXF8eNGzdYuXIlXbp0oVixYpiYmGBvb4+Xlxfly5dnzZo13Lt3j5CQELy8vJg+fTpNmjRJUxhnhZcvXzJnzhxGjx4tt9qrqKgwcuRInj17Rv/+/Zk+fToWFhbs27cvxebBn8zTwG9ceBaUJeNM5ENfQIJWubQNKQkywYVnQTz7nHs5QrJCiRIlqFSpEp6enrnar5KSEjKZLNf68/b2RllZmcaNG+dan/+LKFyR84CAgABsbW0JDAzkxIkTKZJbpMXr4MgUVq/MIIuJ4qvvNnQt26OsWzDdtgJ4FRxJ+cJ6abbx9fWVu0BBojXy7NmzuLu7c+jQIcLDw6latao8oUR6AjIjrK2t0dLS4sCBAykWs0mTJlGlShX27t2bwuXsR27cuEHnzp35+vUrnp6e2NraZjju+vXrKVWqVIovgBcvXuDi4sKUKVMYMmQIlStXpm3bttSpU4cTJ05gZpa6K0xaFltDQ0MqVqzIuXPn6NGjR4bzSmL+/PmUL18eOzu7TF+TEerq6vTp04fevXtz4cIFVqxYweHDh9HW1iZfvnyMHDkSJycnpk2bRt++fVFVVU3Rh6vPU5acepKt8RNkggSZwPHgPYIiYhhhZZ7TW1KgQMH/MZEx8bwKjiQ2XoaqshRTAy3OnTpJSEgI3bp1k7dzcHDg5cuXTJo0iVmzZjFr1iyGDh36y+b5NiSKKYfuceGZJjrVbPgQHpuijQCU9IzQrtoKSfU2WHcXLO1ag/KmOXc7vX//Pu7u7nh4ePDixQvy5csHgKenJ23atEmWZGfEiBF8//6diRMnoqGhweTJk7M0lpKSEosWLaJq1ar069ePhw8f0m7aejZeC8zW3BNkgoQEGX+rV6DXot04ONhneM379+9ZsWIFY8aMyTCRZUhICJcvX+bRo0fIZDLy5ctHVFQUqqqq1KhRA3t7e+rWrUudOnWSJfnKC4QQDB8+nAIFCqQqyPPnz8+KFSsYOnQo48ePp3Pnzvz1118sX778l7jT55SshtKJhHiiHl9EragFyvnSf++VpBJ2XnnDrLblc2OqWcbW1pZVq1YRFxeHiopKrvSZ267I3t7e1K1bFz29tJ/v/w0ohG0u4+Xlhb29PYULF+batWuYm2f+4T02Pns7N+FXD0JCPJoW9YkPTVxc4r8FASCLjiA+NBAlnfxIlFQyNY6vry+1atXi9u3buLu7s2/fPj5//oy5uTkODg7Y29tTtmzZbM31ZzQ0NLCxsUlV2FauXJmWLVvi5OREt27dUlguhRC4uroybtw4qlSpwtmzZzPlVhUcHMy+ffuYM2dOiqx6EydOpGDBgowfPx6AOnXqcOXKFWxsbKhduzaenp789ddfKfpMSEhIVdhCojvyoUOHEEJkyvp648YNvLy82L17d55k/ZNIJDRo0IAGDRrw6tUrVq9ezcaNG+VzGzJkCAsWLGDGjBn06tVL/iXucf1NtkXtzyw59YSC2mp0qZn9TREFChT8//E08Bu7rr7BJ+Azb0KiUsTtq8ZFYt5lCuqGpgDs2bOHDRs2MHToUObMmcPw4cOZMWPGL5uvx/U3zDzygPiExHU1I0tl0vmn36S033Sb2W3L0zUb34PPnj3Dw8MDDw8PHjx4gL6+Ph06dMDNzQ1tbW1q165NsWLFUl1DJkyYQFRUFFOmTEFTU5PRo0dnefyuXbtStmxZ7MY643bxFeFXDxLzIYDYj0+QRUdg0MoB7Ur/uIELISPy3jminvgTG/gCWfQ3lPWM0LRogJ5leyTKqvh+1WXP9TcZrgszZ85EU1OTiRMnJjsuhODJkyf4+/vj7+/PpUuXePToEZAoIkxNTRk3bhz16tWjWrVqmc4hklvs378fLy8v+YZyWpQpU4ajR49y+vRpxo4dS82aNenVqxcLFizIMJztd5LVULrvL28h+x6ephvyjyTIBD5PPjOL3yNs7ezsmDt3Ln5+fvIY+pwilUpzzWIbGxvL2bNnmTp1aq7097+MQtjmEuK/pWUmTZqEjY0Nu3btyrQ7bhKqytkTMfHhX5BFR/Bx47AU58Iv7yX88l4K9V2JqlFJAGbNmEaNUsaULVuWsmXLYm5ujrq6OkII7ty5w4kTJ1BWVuavv/6iSJEi9OzZE3t7e6pVq5YnAekdO3akc+fOvHjxgpIlSyY75+joSMOGDTlx4gQ2Njby42FhYQwYMID9+/czevRonJ2dU7Uwpsb27duRyWTypFFJXLhwgQMHDrB9+/ZkLmClSpXi8uXLtG/fniZNmrB161bs7ZPvKsfHx6dZjqBJkya4uLjw8uXLFPeXGvPnz8fc3PyXuNGZmpqyePFiZs6cyY4dO1i5ciWQGD89YMAA5s2bx6xZs2jQqh0zjzxAFvs9wweYJISQEXHbm293vIgPeY9EWQ0VwxLkbzIAVaOSzDjygLqlClAsf/aTVylQoOD/g3+snkFpWn0EEKOig6REHZqt8KN6ES3OOU3FysqKTZs20alTJ1auXPlLEqcEBQUxzf0i3h9UQAjI4pjZ8WB5+/Yte/fuxcPDgxs3bqClpYWdnR1OTk40b95cvga+f/8egE+fPqXZ14wZM4iKisLBwQENDQ0GDRqUpfkDGJiURq1eDyKDPhJ2yR0l3YKoGJYg5k3K0oIiLobgEytQLVwGnaotkWrqEfP+MWEXdxP9+i5G9guQSCQZrgsPHjxgy5YtLFu2DFVVVS5cuCAXsf7+/gQHByORSKhQoQINGjRg8uTJ1K1bFysrK+zt7eWb1r+asLAwRo8ejZ2dHW3bts3UNc2aNeP27dts3LiR6dOns3//fhwdHRk3blyOkj7mBdkJpYt86AtSZTQtUhoLUuNNcBSRMfFoqf166VK1alWKFSvG4cOHc03Y5qbF9tKlS0RGRmY7J8v/Ewphmwt8//6dgQMHsmvXLiZPnszcuXPTtN6lh6mBFhLIsjuyTo02aJaunexYQlQYId6uaFVsiqa5Jcp6/3XzEIKgl49YeXwvQUFB8vb6+vrExcUREREBQO3atXF0dKR169bZupes0LJlS9TV1Tl48GCKRad+/frUqVMHJycnubC9desWnTt3lmdi7tChQ2rdpkpS0qgOHTpQsOA/btsymYwxY8ZQo0aNVN2e9fX1OXnyJAMHDqRbt248f/6cqVOnyh+g0rPYNmjQAKlUytmzZzMUtn///Teenp5s2bIlz9/3H9HW1mbo0KEMHjyYU6dO4eLigre3Nx8/fqRPnz4U7/MFqXFZZFHhGT7AJBF83IXIh+fRqtAYneqtEbHRxAa+ICEqDPintvKO/pa/6jYVKFDwByK3ev5XzGZk9RH/TUh08204uvaLuee3lYYNG7J9+/Y8q2359etXfH195ZmLX0oKod90IOFX92a40RfzIYCIe2eJ/RBA7JdXIEuguOMx+fn0PFiSEjF6eHjIKw7Y2NgwceJEbGxsUhU4hoaGQPrCViKR4OTkRFRUFEOGDEFDQ4OePXtm6T1JTBQEStoGFB2xAyVtfWI+PuXTtjEpx1NSxqjHYtSL/pPcUqdKC5T1jAi7uIvo13fRMK2S7rrw8eNHevfujY6ODrt27WLChAnExcWhra2NpaUlw4cPp27dutSuXTuFO2ZuZ7TNKtOmTePbt2/yzePMoqyszJAhQ+jatSvz589n7ty5uLm5sWjRIuzt7f+Y7LdZDaWTxX7n+9MraJSoipJG5oxAmQmlyyskEgm2trZ4enri4uKSK+97bgpbb29vjI2NqVy5cq7097+MQtjmkHfv3tGuXTsePHiAh4cHXbp0yXZfWmrKmOTX/G8mwX8Iv3kUWXQkCREhAHx/dk3uaqxbvQ1qxmZgnDz2M8klWaWACZql68iPFy+gha/vOd6/f8/mzZvZvXs3jx8/JiIiAkNDQ5SUlAgLC+PKlSvY2dmhr68vt+z++FOiRIlcizPQ1tamZcuW7N+/P4WwlUgkODo6Ymtry4ULF3jw4AGjR4+mQoUKnDx5klKlSmVpLF9fXwICAli3bl2y4zt37uTmzZtcuHAhzQcjVVVVtm7dipmZGdOnT+f58+esX78eVVXVNJNHAejp6VGjRg3OnTvHwIED053fggULMDU1TTemOC+RSqW0aNGCFi1a8PjxY1atWsX2w6fB2AIZoKSdP8MHGIDIRxeIvH+Wgu2moFmmbqptfkwIYWaoKAWkQMG/kZzE7SNVAokUrcaDsG5ommmvncwQFhbGhQsX5EL2zp078jJ5tZvYEGXYguivnzO10ff9+Q0i7p5C1dAU5XzGxIe8T9HmR0tlaGgohw4dwsPDg7NnzwLQvHlztm3bhq2tbYYxdCoqKhQoUCBdYQuJ62tSVvw+ffqgrq5Op06dMvX+JCUKApAoq6CkrZ/+WEoqyURtEpql6xB2cRdxQW/RMK0iXxcCPobxPfBlMmvsq1evAChQoADm5ub07t2bevXqUaFChTTXX0jc0M5KuZ/c5vr166xevZqlS5dSrFixbPWRL18+Fi9ezODBg5k4cSLdu3dn5cqVrFixgtq1a2fcQR6T1VC6qCdXErMhl2+Up+PkJnZ2dri6unL79m2qVauW4/5y0xXZy8sLa2vrP2aj43eiELY5wN/fn/bt26OqqsrFixdz5Q+9Xsl8vAmJlO9IA4RfPURC+Gf566gn/vDEHwDt8lZI1TOXOVFJAgViA2nUqBF+fn6oqKhgY2PDnDlz5Du/3bp149mzZ2zdupXHjx/Lf+7fv8/+/fv59i0xK52ysjJmZmYpBG+ZMmXkiSuyQocOHejRowdv375N8cXfunVrypQpQ9euXfnw4QPDhg1j6dKlGWaZTo3169dTpkyZZBmfIyMjmTx5Mp06dUo1fvZHJBIJ06dPp2TJkvTr14/Xr19z4MCBNJNHJdGkSRM2bdpERHQcr0OikiVDSXKrCQgIYO/evaxduzbXNg1yQtmyZVm9ejW6VrfwuPkBgSRTDzAA4dc9US1UGs0ydRFChoiLRaqa8vf1uxNCKFCg4PeRG3H7SQ9yq3xfUdRAJ9tx+xEREVy8eFEuZG/evIlMJqNo0aJYWVkxcuRIrKysMDU1peemq4gXwZne6NOp1grd2h2RqqgRcmot31IRtvEJMvquPY329S14eXkRFxdHw4YNWb16NR06dKBAgZQ1PtPD2Ng4Q2ELiQ/X69ev5/v373Tr1g0NDY00y+T9SFYTBaVFQuRXAJQ0f7DaCRkN+k/ls9dqlJWVqVatGnZ2dhw/fhwNDQ1u376dJct8TEwM8fHxuZLVOKvEx8czaNAgKleuzMiRI3Pcn5mZGQcPHuT8+fOMGTOGOnXqYG9vj5OTU44SeeaUrIbSRT48j0RVAw3zrHlsZTdkLzdo0KAB+fLl4/Dhw7nyvJ9bFtv3799z7969TGUT/zegELbZZNOmTQwdOhRLS0sOHDggd/3JLuHh4axatYoNmz3Q6uyU7FzRYZuz3J9yPqNkrk6QmF7/2PJJNKxahk2bNtGuXbtkIlQIgZ+fH926daNcuXIpasMJIfj06VMywfv48WN2797Nmzf/lHAxNjZOIXbLli2LiYlJmotR69atUVVV5eDBgykSWdy7d4/Q0FACAwNxdnZmwoQJWX4/AL58+cKBAwdwcnJKtqu1ePFigoKCWLRoUab76t69OyYmJtjZ2VG3bl3q1auX5o7x08BvfCrSAOV2Jagw+1SycxLAJL8mVmUMuX94HYUKFaJPnz7Zub08w/9lWLKNloyQxUQR++EJOtVa8dV3G99uHkPEfkdZz4h8jfqgZVFf3vZ3J4RQoEDB7+FtSFSW4/bDbx7l263jxId+QklDF02L+uSr31O+aZaVuP2oqCj8/f3lQvb69evEx8djbGyMlZUVAwcOxMrKilKlSiVbL7JqqQRQ0sq4TYKAZxHKFAiPx9nZmU6dOmWY8Tc9MitsIfEBe+vWrXz//p0OHTpw7NgxmjVrlu41WU0UlBbhVw8gUdNEo2T1fw5KpBhVbcw+x87UrFkTDQ0N9u/fz4oVKzh79myW3c2TNuR/h8V21apV3L17lytXrqRrVc4qjRo14saNG2zdupWpU6dSpkwZJkyYwMSJE3+LgM9KKF1CVBjRr+6gZdEAqUrmDRSS/47zu0gyBnl6ema6zFR65JawPXnyJFKpNMPP7L8FhbDNInFxcYwbN45Vq1YxaNAgVq1alSP3p9DQUFatWsXy5cuJjIxk4MCBBBbV5taHyFxZNJIQCfEoh7zk2pkjafrgv3jxgvfv36davxYSd8YLFSpEoUKF5PVZk4iMjOTJkyc8fvyYgIAAHj9+zOXLl9m6dau80LiGhgalS5dOYeUtXbo0enp6NGvWTJ4MChKF9MaNGxk1ahSlS5dGIpHw999/Z/s92Lp1K1KplN69e8uPvXv3DmdnZ8aMGZPpQvVJ1K9fn8uXL2NjY8Pu3bspVKhQsvPJkqFIQEU/5UOKAF6HRLHjyisSDFtQakADPkcmUOzXJmtMk+wkhIj/+hEQRD66AFIp+o36IlXTJPzGEYIOOyP96SHmdyaEUKBAwe8hMT5TZDpu/6vPFsKvHkCzTD10a7QlLugt324eIy7oDUZd5gLpx+1HR0dz5coVuZC9evUqsbGxFCxYkEaNGtGzZ0+srKwoU6ZMuu58uWWpTA0lCbR2WMToXPBgMTY25vXr15lur6Kigru7O+3atcPW1hZvb28aNGiQatvsrAupEea/l+hXd8jffBhS9eRi7JtMjeqWddFQUyYuLo4pU6bQokWLbNXo/F3C9u3bt0yfPp1hw4ZRq1atXO9fSUmJ/v3707lzZxYuXIizszMbN25k4cKF9OzZM8/izVMjrVC61Ih85AeyhCy7IZsYaP725wQ7Ozt27drFy5cvs/zM+DO55Yrs7e1NrVq1MDAwyHFf/w8oniSzQHBwMJ07d8bPz481a9bkqE7e169fcXFxYcWKFURHR8vjJooUKcLbkCiaLvfNtYVTCIGSVELU+Y002DeTRYsWMWjQoBRfer6+vkgkEurVq5flMbS0tKhatSpVq1ZNdlwmk/HmzZsUVt7z588TGPhP3TsTExN0dHR48OABTk5OVKpUic2bN3PgwAEGDRrEihUr2LBhA2PHjmXu3LmYmppmaX4ymQw3Nzc6duyY7MM/ZcoUdHR0su3CUbp0aS5fvkylSpV4+fIl+/bto1OnTimToWTwq0w6/z5ek6bLfbNdAiK3yU5tZVnc98R/v4dj3GspaoXLAKBhbsn7tf0J89+TTNj+zoQQChQo+PX8aPXMjDtvfEQI4dc90SpvRYE24+THlfMX5uvp9UQ9vYqmuWWyuH2TfGpcu3ZNLmT9/f2JiYkhf/78NGzYkCVLlmBlZUX58uWzFJeWW5bK1EgQ5NiDRQhBbGws+vr6XLp0ibdv3xITE0NMTAzR0dHy///8Oun/9evX5/HjxzRr1oxOnTqRP3/+FG3CJDqIMtnPJwKJ4ibUbwfalZqjU61Vyvvgn3Vhw4YNPHv2jP3792drrKSkmL9a2I4aNQpdXV3mz5+fp+Po6OiwYMECBg0axKRJk+jTp4/cYFK/fv2MO8glGpgXYOeVVwhJ+oI68sF5pJr5UDetkum+laQSrErnzDMyN7C2tkZVVZXDhw/j4OCQo75yw2IbHx/P6dOnczyX/ycUwjaT3Lt3D1tbW759+8aZM2fStGpmREhICMuXL2flypXExsYyZMgQJk6cmMzaVyy/JrPblsfxYNoZZ7OCRCJB7W9PLvielBeu37lzJ25ubsncjX19falSpUq2YmTTQiqVYmpqiqmpKS1atEh2LjQ0VG7dffz4MX///TcPHjxgypQpCJH44KChocGdO3cYMmQIJUuWRFNTk6lTp7Jly5YsWcp9fHx49uwZmzf/49Z9/fp1duzYwfr167NcmulHChQoQOvWrdm/fz+dO3em06xNXIvOXqH3BBkkyGRZKgGRl2QnUYNEOdHcrKxnJBe1AFJVDTTMahH54DxClpCs3uPvTAihQIGCX8uPVs/MuPPGvn+caOEpl9yCqGXRgK+n1xP5yA/N/8bqSRB0nLySpx4LiIqKQk9PjwYNGrBw4UKsrKyoVKlSti1ZuWWpTI/XQZEMHz2W+OjIdAVoev//kczGXUokEtTU1FBTU5Ovre7u7pQsWZJ8+fKhpqaGuro6ampqqOhp5Ogev7+8TdCxZWiUqkH+FsPTbBcbL+Pbt2/Mnj2bnj17UqlSpWyNl2Sx/ZUuukeOHMHT05O9e/dmmOwrtzA1NWXPnj2MHDmSMWPG0KBBAzp27Iizs3OOrYvpIZPJEp9rV7ih32NZhu0L9Vqa5TESZIIetX//Zr+Ojg5Nmzb9Y4TttWvXCA0NTfF8/W9GIWwzwaFDh+jZsyelSpXi3LlzWbYWQmLNu+XLl7Nq1Sri4+MZNmwY48ePx9jYONX2XWuacM7/Bqc+5dwnNeqyBx8v76Vjx0ccO3aMHj16MGjQIKpUqcKUKVOYPHkyampq+Pn5YWdnl+PxMku+fPmwtLTE0vIft7EKFSrw6NEjzMzMGD16NBEREXLxe+TIEb59+8bu3bvx8PCgVKlSqSavSs0dY/369VhYWMiTQwkhGDNmDBUrVqR///65cj/m5uaUbNaDy9kUtT+TXgmIvCTJyv7w4UN8/34OZFx790eUtPMDINXKl/KcVj6QxSNio5H8kPTsdyaEUKBAwa8lq1ZPkRAH/LNploREJfF17Kfn/7RFQqSeKbNmzcLKyoqqVatmunRadHQ0YWFhhIeHp/rvi6+xCFJm9s1VJBJ8btxHK/arXGiqq6ujrq6Onp6eXFz+KDRT+/+1a9dwdXXF09MTPT29FG1+fq2iopLMch0WFkaTJk14/fo1hw8fTrYJ/uBDGDarLmbr9mI+BPDl4HzUjM0pYOeYbIPzZ1SVpSxdupSwsDDmzp2brfHg17siR0REMGLECFq2bEnHjh1/yZg/8tdff3H16lV27tzJ5MmTKVu2LGPGjGHKlCk52sT/GSEE7u7ujBo1iuDgYDQ0NCiq9I2PQjdXvRqUpBLqljT4Y6on2NraMnToUIKDg3Pk/iuVSomPj8/RXLy8vMifPz81atTIUT//TyiEbTrIZDLmzZvHzJkz6dixI1u3bkVLK2uB61++fGHp0qW4uroihGD48OGMHz8+U8mmzGKe4XneH/2mg4lPkGXozvojSlIJylIJc9qWZ9p+B6w7d+bkyZPUq1ePkydPcvfuXebPn8/8+fPZs2cPc+fO5dWrV9m2ROeUyMhIhg8fzoMHD5BIJJw+fZrixYsnayOEICAggGrVqsljoR4/fsz+/ft59eqV3MpboECBZGLXyMiIgwcPsnjxYvnCvX//fi5dusTp06dzpV5sfHw8Qis/tyRmQAKy2OhMJ0SJC3pLyNkNxLx7iERJGY1SNdFvMgAlTb0sJUPJKgkJCbx69YqHDx/Kf+7fv8/Dhw/lcdFSVQ2KjtmbJVc9ZR0DlLT05eWpko35LRiJsioStX92/H93QggFChT8OrJj9VTOXwSA6HcPUS/+j9Uu5u0DABIigpO1j1PLR8ky+Xj69Ck3btxIIVDTEq+xsbFpzkFdXZ18paqg1mZaluaeHXa576GqScYJp9KjcOHCuLq6UrFixQzrp6eGnp4eJ0+exMrKiqZNm+Ln54eZWWJZwawkCvqRuKC3fN43G2U9Qwp2molUJe2NewmgER/BkiVLGDVqVI4y/v5qV+RZs2YRFBTE6tWrf1v5FalUSq9evejQoQPOzs4sXryYLVu2MH/+fPr27Zvj554zZ84wYMAAXr9+jZKSEsOHD2fJkiV8iZLlaigdgLJUwoJ2FXOtv5zStm1bhgwZwrFjx5LlbMkquWGx9fb2pnnz5rnyHPv/gkLYpkFERAS9e/fm4MGDzJ07l6lTp2bpC+rz588sXryYNWvWIJVKGTlyJGPHjqVgwYKZ7uPRo0cov76GzoVo3hrXQ6NENRAySCd+QYpARuLu1oJ2FSmWX5PlBgaoqKjg7++PtbU1derUwdvbm7lz59KlSxcGDRokr11XseKv//J49OgRHTt25NWrV6xatYrRo0dz+vRpBgwYkKydRCKhbNmyDBkyhC1btuDh4SFfqL5//86zZ8+SxfHeunWL3bt3ExWV+BDl6OjI5s2bMTc359y5c3K369wo3J6QkEBYaZv/xtRKMp0QJT48iE+7JiFV0yJfw16I2GjCrx0k9ssrCvVeRrxUNc1kKJklPj6eFy9eJBOwDx8+5NGjR3IBq6KigpqaGt+/f5fX5C1Xrhx//fUXl1VlhMRl7UtT06I+324c4fvL22iUSIy7TogKI+rZVdSLV0Lyw9/wn5AQQoECBb+G7MTtqxmboVq4DOFXD6CsY4C6SSXigt8SfHINSJURcTEprrEfOJK4zy+RSqXo6emhq6ub7N9ChQpRtmzZVM8l/Zv0f11dXVRVVXNkqcwKueHBkuQN9unTp2wJWwADAwNOnz5Nw4YNadKkCX5+fhQvXjzVREHhN48ii46Ub2h+f3aN+G+JcdS61duARELg3hnIoiPQtWzP92fXk42lom+MWpF/rOEmBposXjgPVVVVJk+enK35J/ErXZHv3LnDihUrmDdvXp66/2YWLS0tZs+ezYABA5g8eTIDBw7E1dWVZcuWZSsR1507d+jTpw93795FIpHQvn173Nzc5JbLYurkaigdwFRr8zzZ3M8uxsbGWFpacvjw4d8qbD9//syNGzcYMWJEtvv4f0TxNJkKL1++xNbWlpcvX+Lp6YmtrW2mr/306ROLFy9m7dq1KCsr4+DgwNixYzPtrvD161cOHDiAu7s7586dQyKRULNmTcbbmWNRuyaH/v7ClpPXkOgWhB9KsEgAEfGFosrf2Dy5TzKXjQIFChAcHIyZmRn+/v60atWK+vXrc/jwYRo1asTFixflrit//fUXq1atokOHDr9kp3HHjh0MGTIEU1NTrl+/Trly5Thw4AD79+9PIWyTGDt2LK6urri5uTFuXGIiEQ0NDSpWrJhCmMfHx1OyZEnKli1LmzZtCAgIwNvbm7CwMO7cuUPNmjUBKFKkSAq35rJly1KkSJFMvQ/haBKjXwL+u0uZ2fqGYZf3IuJiMOqzAmW9RCu+auHSfPaYRsS9s+hUaSFPhpKRG05cXBzPnj1LIWADAgLkcVdaWlrkz5/oKvxj6YFixYrJ3cItLS2pUqUK6urqiTWM3c4QrGIidxnL6AFGqq6FXp1ORD2+yJdDC9CtaYdUTYtvd7wgIYF8DXrJx/1TEkIoUKDg15DdePqC7SYTdNiZ4BMuiQckUnRr2RH95j5xqdSFPe51kjqlC6GlpZVra1l2LZVZIbc8WH4UtjnByMiIs2fP0qBBA7m4LVy4MFZlDNlx9bXcMhd+9RAJ4Z/l10U98Ycn/gBol0+sopAQ/gWA0PNbU4yjVaGJXNgqSSVUMVRhteMGnJyc0NfPmfX627dvqKur52q5ndRISEhg8ODBlC1bVv5s8qdQrFgxdu7cyciRI3FwcKBJkybY2tqyePFizM0zzuXx8uVL+vfvj4+PDwB169Zlx44dqW6adK1pQlBETI5rVANEXnZn69UPdDh6NMsek3mJnZ0dc+bM4fv372hoZC/mPKdZkU+fPg0kJrRS8A8KYfsTPj4+dOrUiXz58nHlyhXKl89cdsIPHz7g7OzM+vXrUVVVZfz48Tg4OMhFRHpERkZy9OhRdu/ejbe3N/Hx8VhZWVGsWDGaNm2aLOFRIU2YbduP7bv3UK2hNbHxMlSVpZgaaDHNcQL79++n1LLkuzcGBgY8e/YMSFykzp8/T4cOHbC2tmbXrl107NiRoKAgevbsSWhoKJ06daJt27a4urpSrFixLLx7mef79++MHDmSTZs20atXL9asWSP/0urYsSMODg58/fo11QWtaNGi9OjRg2XLljFixAjU1NJ2Zzp79ixv375lz5491KlTh8DAQLZv386oUaOYO3euvETRj9maN2zYIHdJ09LSktfh/fHH3NwcdfV/6q991DJLZk3PbH3DqAB/NMxqykUtgIZpFZTzFyHq0QV0qrRASSph55U3zPpvCYiYmBiePn2aQsA+efKEuLjEWDR9fX2KFy+Orq4ulSpV4uPHj7x7947IyEhUVVWpVauWXMTWqlWLAgUKyMeXyWScOnUKFxcXvL29MS5dBbX28+TnM3qAkaproaSlj1EPZ76e20T4jcOQkIBakTIUaDMOVaN/FsI/JSGEAgUKfg3ZtUYq6xTAuIczcSHvSYj8iop+EZS09Xnn2guV/ClLqRU2Nsx1C112LJVSdS3iwz4Tcf8cADGfEtfi0EseifelZ4h2hX8sZ7nlwaKvr4+KikqOhS0kbvyePXuW+vXr06RJE3x9feluacLWy6/kbYoO25x2B/+luOOxTI2XIBM89dpMkSJFcsUalRteWZlh/fr1XLt2jYsXL6KiopLn42UHS0tL/P392bNnDxMnTqR8+fKMHDmS6dOnp5o4NDAwkFGjRrFv3z6EEJQuXZpt27ZRu3btdMcZYWVOAW01eXWIrLgm/xhKV7iVLi1btqRNmzYc/YPErZ2dHY6Ojpw5c4Y2bdpkq4+cWmy9vb2pWrVqmrl6/q0ohO1/EUKwevVqHBwcsLKyYs+ePZkSpe/fv2fRokW4ubmhoaGBo6Mjo0ePzjCzcGxsLCdPnsTd3Z3Dhw8TFRWFpaUlixcvpnPnzhQqVIgCBQrIY1qSuH37NgB1albD7KfyKDY2NqxYsYJ79+4lyx5oYGDA1atX5a91dHQ4duwYffv2pXPnzsydO5enT58yf/58OnbsyKFDhxgxYgTlypVj4cKFDB06NFf99wMCAujUqRNPnz5l8+bN9O3bN9n5du3aMWLECI4cOZKmm8eECRPYunUrO3fuTDf50/r166lYsaL8S3jGjBkoKyszc+ZMdHV1qVGjRoqg+6TY059LFJ06dYqgoMQHFolEQokSJeRC97NK5XRdxFMj/lsQsqhQVI3NUpxTK1Sa789vJM5HJjhw+RH3ts3gwYMHPHv2TP5laGhoSLly5ahatSq1atUiPDycV69ecf/+fe7cuYOKigpVqlTBzs5OLmLNzc1TtWBERkayfft2Vq5cyePHj6latSrbtm2jS5cuDNh5B/8XwSTIRKYeYABU8hlj2H5qmuf/tIQQChQoyHtyavVUyV8Elf/G3MYGvSEhIgStik2StcnLuP2sWiql6lrEh34i7MLOZP0kvVYrVkEubJUk5JoHi1QqxdDQMFeELSRm3D137hwNGjSgefPmnDt3jvpmBeTrQm4hEuIpqhqFl8cWtm3blmwDObtERETkubD9+PGj3NU3OyUTfyUSiYSuXbtia2vL0qVLcXJyYvv27cyZM4eBAweirKxMWFgY06ZNY926dcTHx2NkZMTatWuxs7PLtAdE15om1CtVgCmH7nHhWVCG9Z+Tzv8YSgcmeHl5/XHitkyZMpQpUwZPT89sC9ucWGxlMhknT55M07Px34xC2JIoMocPH87GjRtxcHBg8eLFGbqsvH37FicnJzZu3IiWlhZTp05l1KhR6aZ1T0hIwM/Pj927d3PgwAG+fv1KhQoVmDp1Kl27dk3m0hEZGUlwcHCKhAm3b99GV1c3VfeP+vXro6WlxfHjx5MJ2yRX5B9RVVVlx44dFCpUiGnTpsmvT4qZaNKkCY6OjowcOZJdu3bh5uaWK/G37u7uDBo0iCJFinDt2rVU+yxcuDD16tXjwIEDaQpbCwsL7OzscHZ2pk+fPqkK7w8fPnDkyBFcXFyQSCTcu3ePjRs3smzZsnQ3LZSUlChVqhSlSpXCxsYm2bmgoCB5lmZ5tmavUyS0tSKrzm4JEV8Tx9NOORclbX1k0d8Q8XFIlFUIF+qERnzH2tqaQYMGIYTgy5cv3Lt3j2vXrnH+/HkASpUqhaWlJb169aJWrVpyl+L0eP36NatXr2bDhg2Eh4fTrl073Nzc+Ouvv+QL2IJ2Ff/vE0IoUKAg70nN6pkdhJAR6rMFiYoaOlVaJjuXl3H72bFUqhevlClrZYKAD357+FJnZJbycaSFsbFxrglbSMz8n1TusEWLFmzdf4x2G0JydV2QIni4dTqVKlWie/fuudLnt2/f8jy+dsyYMaipqeHk5JSn4+QmGhoaTJs2jX79+jF16lSGDx/OqlWrqFmzJnv37iU6OhptbW3mz5/P8OHDs2XgKJZfkx39LXka+I1dV9/g8+Qzb4Kjkm1sSUj8zFqVNqRHbZMUm93169dPJm6PHTuGpubvj7m1s7Nj8+bNJCQkZOu9yYnF9tatW3z58kVR5icV/vXCNjAwkA4dOnD9+nW2bNlCnz590m3/+vVrnJyc2LRpEzo6OsycOZMRI0akmUJdCMH169dxd3dnz549fPz4EVNTU4YMGYK9vX2aYvHt27dAyhp0t27dokqVKqnW4VNTU6NZs2acOHEiWbIFAwMDQkJCkMlkya6TSqUsWbIEf39/Ll++zOTJk3Fzc0NFRQU9PT3Wrl1L9+7dGTRoENWqVWPSpElMmzYtWzuo0dHRODg4sH79erp168b69evTXWg6duzIpEmTCA8PT/O9nTRpErVr18bT05MOHTqkOL9582bU1NTo0aMHQgjGjh1LqVKlGDp0aJbnn0SBAgUoUKBAsh3Z7CYUEfGJca8SpZQuSxIlVXkbiXJiGQbdIqXw9vbmyZPEuBV9fX0sLS0ZPnw4tWrVSuFSnO7YQnDp0iVWrFjBoUOH0NXVZcCAAYwYMSJFNmrI/drKAHPalv+jEkIoUKDg15DC6pkJd96Q0+sRCXGoGpZEyOKJfOhL7IcnGLQekyyUI6/j9s2NdPLEUqkkASPC8HBbwe51y3BwcGDcuHE5ii/NbWELUL58eU6fPo2VlRWDu3dgysLNzDye81jKJGpIX7L//XPmOq7KNU+xvHZFPnnyJHv27GHHjh2Z8vT70yhcuDAbNmzA2NiYxYsX8+jRIyQSCQMGDMDFxSVXRKS5kQ6z2pZnFuWJjInnVXBkslC6jDaifhS3rVu3/iPEra2tLYsWLeLy5cvyUpJZISfC1tvbGx0dHerUqZOt6/+f+VcXj7x58yY1atTg+fPn+Pr6pitqX716xaBBgzA3N2f//v3y8jhp1QV7+PAh06ZNw9zcHEtLS9zd3enUqROXL1/mxYsXLFiwIF0LaJKw/TnG9fbt21SrVi3N61q1aoW/vz9fv36VHzMwMEAmkxEaGprqNWFhYTRu3Jhdu3ZhZ2dHZGSk/Nxff/3F7du3mTZtGosXL6ZSpUpy62BmefbsGXXq1GHr1q2sX7+enTt3Zrh72r59e2JjYzl+/HiabSwtLbGyssLJyUle6ieJhIQENmzYQNeuXdHT0+P48eOcOXOGJUuWyIvPZwchBOHh4Tx79gx/f388PT3Zs/9gtvpKqsmYVKMx2TgJscnaALx++57mzZuzY8cOnjx5QnBwMF5eXsyaNYtWrVplStTGxMSwfft2atSoQf369bl//z6urq68ffuWxYsXpypqk+ha04TxzUtn9TZTZULzMr+8Pq8CBQr+DLpbmiQTheFXDxF2YScRt08Aie68YRd2EnZhJ7LoxFItqkaliPkQwFefzYT67UCqoo6R/fxk8anwa+L2F7SriLI0d5MrKitJ2TPejpcvXzJixAiWLVtGiRIlmDdvnjyrb1YxNjYmMDAwV+cJULVqVby9vblz5w47Zg3FwSp7WZd/ZmxTc+4fdkNdXZ0bN27kSp+Qt8L2+/fvDBs2jCZNmuSahflXIoRg3759mJiY4OTkhEwmo0GDBhQrVowtW7bg6OiYwuMvp2ipKVO+sB5VTfQpX1gv094VSeL22rVrtG7dWl7x4ndhaWmJkZERnp6e2bo+J67I3t7eNG3a9I+N5f6d/Gsttu7u7vTr14+KFSty6NAhihQpkmq7Fy9eMH/+fLZv346+vj7z589n6NChqQqzV69e4eHhgbu7O3///Td6enp06NCB9evX06hRoyztPr558waJRJJsXmFhYTx79oyqVaumeV2rVq3kvvddu3YFkAue4ODgFLuJX7584eHDh0ydOhVHR0fat29P48aNOX78uPw6NTU1Zs6cSefOnRk0aBBWVlb0798fZ2fnDHcn9+3bR//+/TE2Nubq1atUrlw5U/dvYmJCrVq12L9/P/b29mm2c3R0xNramnPnztGkyT9xVidPnuTNmzcMHjyYuLg4xo8fT+PGjVONhYiLiyMoKIjPnz/z+fNnAgMD5f9P7XVSiZwk1IxLYdzHJVP39SNJyaVSrfca8RWpug4S5X++tHZs20L5wmm7uqdHYGAg69atY+3atQQGBmJtbY2XlxfNmzdP1fqfFrmVEEIhahUo+Pfys9UzM+682pWaploH/Ed+Vdx+3nqwaOLk5ISDgwNOTk7MnTuXFStW4OjoyLBhw7JkpTI2NpZnTs1tateuzbFjx2jZsiXqKycwb+pK5p4IyPK6IGQJqKsoM8e2AuF3TvL48WNGjRrFunXrWLRoEUZGRjmea0RERIZ5T7LLvHnzePfuHV5eXr+tZm12OXv2LMOHDycgIACAJk2asHbtWszNzYmOjsbFxYX58+ezc+dOZs2axdChQ3+7kPqTLLdSqRRbW1s8PT1ZvHhxln//2bXYfv36lcuXL7Nu3bosX/tv4H/SYhsZE8+DD2HcfvOVBx/CiIyJz/S1CQkJODo60q1bNzp16oSfn1+qovbZs2f07duX0qVLc/z4cRYtWsTLly+ZMGFCMlEbGBjIqlWrqFu3LiVKlGDOnDlYWFjg6elJYGAgmzZtokmTJll2qXn79i3GxsbJrIt3794FSNdiW6RIESpXrsyJEyfkx5JKDSUlPvoRPz8/ABo0aECzZs3w9fXl1atX1KtXj5cvXyZra2Fhga+vL+vWrWPfvn1YWFiwZ8+eFNZSSLQMjhgxgs6dO9OqVStu3LiRaVGbRIcOHfDy8kpmQf6ZZs2aUbVq1WRxLUIIXF1dsbCwIDY2lqFDh/LkyRPKli3LyJEj6dy5M40aNaJcuXIUKFAAVVVVChcuTJUqVWjevDk9e/ZkxowZ7N27N7GWsLIyVapUoUePHjg5OeHu7s7Zs2e5e/cuvr6+LJwyNtX3ICOUdQog1dQj9r9ZMn8k5uMTVI3+qYGX3WQot2/fpk+fPpiYmODs7Ez79u15+PAh3t7etGjRIkuiNomuNU04M6YhdUsm/l0pZWC5SDpft6QBZ8Y0VIhaBQoU5IHVU/zSuP289mAxNjZmxYoVPHv2jI4dOzJ58mTMzMxYvXq1vHxbRiS5ImdnfcoMDRs2xNPTk9OnT+O5dCLeo+pleV2If/+Qml9O0rqcATNnzsTe3p6ZM2eipKSEm5tbrswzr2JsHzx4gLOzM1OmTKF06dz5W/gV3Lhxg9q1a9O0aVMCAgIoX748/v7+nDlzRl76R11dnUmTJvH06VM6duzImDFjqFixIseOHcuzv6fM8idZbm1tbXn+/DkPHz7M8rXZFbZnz55FJpMpyvykwf+MxVYeeB7wmTchqQSe59fEqowh3S1NMDdKfbc2LCyMbt264e3tzZIlSxg7dmyKHZYnT54wb948du3ahaGhIUuWLGHQoEHJdoRCQ0M5dOgQu3fv5ty5c0ilUnnpnLZt2+bKF+ibN29Sja9VV1enbNmy6V7bqlUrNmzYIA9oTxK2qbmT+Pr6UrJkSYoWLQokimZ/f39atGhB3bp18fLyokqVKvL2UqmUwYMH06ZNG0aNGkXXrl3Zvn07a9askbuxvnjxgs6dO3Pv3j3WrFnDkCFDsrWT2aFDByZNmoSXlxe2trZ8+fIlmeU0yZqqq6vLmTNnKFeuHBEREXz+/Fm+8NevX1/e34EDBzA0NMTQ0FAuZI2MjOTHDA0NMTIyomDBgqlm3YuPj+fOnTtcuHCBPXv2cOHCBYKDg1FWVsZ4wDqU8mU95bpmmbpE3jtHfPgXlHUTk4V8f3WH+JD36Nb8p35yVpKhJCQkcPjwYVxcXPDz88PExIR58+YxYMCAHNcDTCI3EkIoUKDg30vuWz0lNND69Evj9n+FB0uxYsVYt24dEydOZPbs2YwaNQpnZ2dmzJhBr1690rWgGRsbExsbS2hoaK599/9M8+bN2b9/P+3bt0ddfRjbtm3jRVBUptcFrz0vGD16FbpKiZ5T8+fPJ3/+/PIygJMmTcpR+BDkjSuyTCZjyJAhlCxZEkdHx1zzspDxAABnyElEQVTtO68ICAhg7NixcsNH4cKFcXV1TTfTsZGREW5ubgwfPpyxY8fSpk0bmjVrxrJly6hQocKvnH4y/hTLbePGjdHW1ubw4cOZLg+aRHZdkb28vChXrlwKjaAgEYn43VsvGfA2JCrLqcLrmxX4IVV4Ik+ePKFt27YEBgbi4eGRYqfj0aNHzJ8/H3d3d4yNjXF0dGTAgAHywstRUVEcO3YMd3d3Tpw4QVxcHA0bNsTe3p4OHTrIxWNu0bRpU/Lnz8/evXvlx3r37s3jx4+Tle5JjUuXLvHXX39x5coVLC0tiYmJQV1dna1bt6bIMlylShWqVauWrFYuwOfPn7GxsSEgIABPT08aN04ex5TE4cOHGT58OKGhocybN4+iRYsyYMAADAwM2LdvX5rW5aRY1fRcfgMDA7l69SpCCHld2R/R1tbG0NCQggULcu/ePYyMjOjWrRs3b97Ex8eHAwcO4OHhwaFDhwgICEjT3TwtYmJiuH79On5+fvj5+XHp0iUiIiJQV1enTp06NGjQgAYNGmBmZkbjCWuJM62DRPqPZf7HhCgRt0+gWbouKv+t4Sqvbxj+hY9bRiNV00KnRltE3HfCrx5ESacAhXovT6yHK5XQ07K4vI5tWoSGhrJp0yZWrVrF69ev+euvvxg9ejR2dnZ5XpgeyFZCCAUKFPy7cfV5ypJTOU8+VFH2kmPOIxk3bhzOzs7Z8kbJLll5TpECMqBcfgnr+zfKshB/9OgRs2bNYu/evZiZmTFr1iy6du2aqlfYxYsXqV+/Pg8fPsTCwiKLd5U19u7di729Pf369cPNzU0ulDJaF+Lj46lQoQLPnj1j+PDhuLgkhvU8fPiQ8uXLs3PnzhzHrpqamtKjRw/mzZuXceNMsmnTJgYMGMC5c+ewsrLKtX7zgnfv3jF16lR27NiBEAIdHR0WLlzIoEGDsuRaLITg6NGjjBs3jhcvXjBo0CDmzJmTKxm8s8uFCxdo2bIltWrV+m3itlOnTrx+/Zpr165l6boxY8Zw6tQpHjx4kOlrhBAULVqUrl27snTp0qxO9V/BH/3U6XH9jXwnFMhwNzTpvP+LYJou92V22/J0rZlYA8ve3p7ChQtz7do1uasFJH55zp07lz179lCkSBFWrVpFv379UFdXJy4ujhMnTrB7924OHz5MREQENWrUwMnJic6dO2dZKGWFt2/fpnDdvXXrVqbqo1laWqKvr8/x48extLRETU0NbW3tFK7IX79+5e+//2bMmDEp+jA0NMTHx4eOHTvSsmVLduzYQefOnVO0s7W1xcrKCkdHR3k/tWrVYtKkSTx48AAfH59UReuPVtUkpFIpBQsWlFtOixYtSnx8PDdu3GDt2rUULVo0mXX1xy8wNzc3hgwZQrdu3eQC3szMDA8PD+bMmZOp31VERASXL1+WC9mrV68SExODrq4uf/31F1OnTqV27dqoqKhw69Ytrl69ys6dO3n+/DkqBsUoPDB5VrzM1DdU1i2IUbeFfD23kVDfrUikymiY1US/cX95fG1GyVACAgJYuXIl27ZtIzY2lq5duzJ69GiqV6+e4T3nJkkJIRQoUKAgs+Se1dMG12IwatQo3r59m2s1UDNDVjxYGpUuyJGlE/gmi6Do+JZpdZkmSSFAU6ZMYcaMGfTo0YMFCxYwZ84c2rVrl0zQGxsnehF9+vQpz4Vt586d+f79O3369EFTU5MVK1YgkUgyXBeUlZUpV64cAQEBlCtXTn68XLlyNGvWDBcXF7p165aj+NXctth++fKFiRMn0qtXrz9a1AYHBzNv3jxcXV1JSEhAWVmZ8ePHM3ny5Gy9HxKJhLZt29KiRQtWr17N7Nmz2b17N9OnT2fkyJGoqall3Eku8ydYbu3s7OjRowfv37/Pki7Ijivy/fv3+fDhg6LMTzr8sRbb3NrFtdT4zL5Z/bGxsWHXrl3yDMb37t1j7ty57N+/n2LFijF58mT69u2LiooKFy5cwN3dnf379xMcHIyFhQX29vZ07do1mSjOK4QQaGomJpAYPXo0kJh5T0dHhzVr1jBo0KAM++jWrRtPnjyRZxY0NTWlW7duLFiwQN7myJEj2Nra8vLlS0xNTVOdR1BQEAMGDODo0aP07duXmjVrphCq79694/Xr16l+QLW1tVN1903tdf78+VPssj9+/Fges2xra5ui/ySio6MpUaIEFStW5PTp09y8eZNZs2bx999/8/jx41QfcEJCQrh48SIXLlzAz8+PmzdvkpCQQIECBWjQoAH169enRIkShIeHc/36da5evcqdO3eIjY1FVVUVQ0NDgoKCiImJQU9Pj2K9FhGpXTR3S0D8NxnKjv6WyY4LITh9+jQrVqzAy8sLQ0NDhgwZwtChQ+UPMwoUKFDwv0JueWcdOnSIbt26UatWLTw9PfPMBTcj0rNUHj9+nNatW3PmzJlkSQ+zw7Vr15g+fTqnTp2iatWqzJ07l1atWiGRSIiIiEBHR4fdu3enm4QxN1m3bh1Dhw5l0qRJLFy4MENB+uLFC8qWLYu5uTlhYWEEBATIQ4GOHTtGmzZtuHz5MrVr1872nFRVVVm+fDnDhw/Pdh8/0rt3b44dO8bjx49/q7UyLSIiIli+fDkLFy6UJ7vs1asXCxYsoHDhwrk2TlBQEDNnzmT9+vWYmpqyePHidN2a85Lfabn9+vUrhoaGrFy5MkvlJCdOnIinp6e8hGNmWLx4MbNmzSI4OPiXbdz9r/FHCluP629yNdugJU/ZPW8kSkpK3L17l7lz53LgwAFMTU2ZMmUKvXr14v79++zevZs9e/bw/v17TExMsLe3x97enkqVKv3SD2pQUBAFCxbkwIEDtG/fHkhcvCwtLbl27Ro1a9bMsI+dO3fSs2dPPnz4QKFChahRowbVq1dn1apV8ljVefPmcf78eRwdHZPFr/4oWn92AZZIJMnEaFxcHFeuXEFTU5Phw4dTvXp1Tp48yebNmylatCjr16+nadP0M1lmRIUKFahWrRrbt29Pt52zszOOjo5UrFiRZcuW0bRpUzw8POjSpQsAHz9+lItYPz8/7t1L/BsrWrQoDRs2pFq1amhpafHhwweuXbvGtWvXCAlJzFhsbm5OrVq1sLCwICAggEOHDhEXF0f//v2ZMGEC7du3p3LdxvjrNyEmPnvp21NDTVnKmTEN5Q9ukZGR7Nixg5UrV/Lo0SOqVKmCg4MDXbt2/S27pQoUKFCQm+RG3L6/vz9t2rTByMgIb2/vPy4WTQhBrVq1UFdXx8/PL1eeL/z8/Jg2bRoXLlygdu3azJs3jyZNmqCtrc3cuXNT9czKK5YvX87YsWOZM2cO06dPT7etvb09fn5+nD59mmrVqjFhwgTmzp0LJMaxlilThho1auDu7p6tuSSFYm3bto1evXplq48f8fHxoXHjxmzcuJH+/fvnuL/cJDY2Fjc3N2bMmEFoaChCCJo3b87y5cuTWcNzm4cPHzJ27FhOnjxJo0aNWL58ebLcLL+K3ylumzZtipKSEidPnsz0NZMnT2bv3r08f/4809c0adIEDQ0Njh07lp1p/iv444Tt25Aomi735XtUJOFXDxLzIYDYj0+QRUdg0MohRbr/b3e8iXxwnrjgd8hiIlDSNkDdpCL56tmjnM8IEKgpK+HSvADrly3A09OTEiVKMHXqVHk5GXd3d54+fUrBggXp3Lkz9vb21KlT55fG6PzIrVu3qF69OtevX6dGjRoArF+/nuHDh8tjPJMQQhAWFpZClL58+ZLFixdTo0YNNDQ0uHnzJnFxccTFpayZqqOjk64lNenn4MGDTJ8+nV69erF27VpmzJjB0qVLsbW1ZcuWLcl2xp88ecKgQYPw9fWld+/eLF26NNtxyDNnzsTFxYXPnz+nm0Ti/v37VKxYkWbNmhEYGIiKigojRoyQi9lnzxKzD5cuXZq6devKH3aePXvGtWvX5OcNDAyoVasWlpaWWFpaUqtWLcLCwli8eDGbN29GVVWVYcOG4eDgILeOVqpUiUaNGlG35/hc3ZRZ1L4iXWqa8ObNG1avXs2GDRsICwvDzs6O0aNHU79+/f+5EgMKFChQkBlyErcfEBBAy5YtiY6O5sSJE7/lQTs9ctNqm4QQgjNnzjBt2jSuXbtGo0aNePLkCT169GDRokW5MkZmmT9/PtOmTWPx4sWMHz8+1TY3btygZs2acpE4bdo0lixZwqNHjyhRIrEqwMqVKxk3bhyvXr3KVvhXcHAwBQoU4ODBg7Rr1y5H9xQTE0OlSpUwNDTE19f3tz0j/kxCQgLu7u5MnjyZd+/eAVCxYkVWrlxJo0aNftk8vLy8GDt2LAEBAfTr14958+b9cg+y3yVuXV1dGTt2LF++fEFPL3MhWdOmTWPnzp28evUqU+0jIiLInz8/y5YtY8SIETmY7f83f5yw7bnpKv4vgokJ+cT7df1R0i2Icj5jYt7cS1XYBp9cg4iLQbVgcaTq2sSHBfLt7kmQySjUbxXKOgYgZHx/dQedG9sYOnQosbGx7N27lzt37qCrq0v79u2xt7encePGvyTJTkbs27ePzp07c+bMGeLi4vj8+TNr1qzh+fPntGrVKkWs6s9WVSUlJQwNDQkLC0NbW5tmzZpx48YNYmNjmT59ujw+tWnTpqxatYphw4Zlem4eHh707NkTbW1tIiIicHZ2xsHBIVVxJYRg8+bNjB8/HmVlZVasWJGtWJl79+5RqVIlTpw4QcuWqcckCSEYOnQoGzduRAghzzQnkUioUKEClStXJl++fHz//p179+4lcymuWrWqXMRaWlpSsmRJ+RwfPHggL/Gjr6+Pg4MDw4cPT1ETr3z58lhbW7Ns2bJcc6Mf37w0VVU/4+LiwsGDB9HW1mbAgAGMGDEiVddxBQoUKFDwD4GBgdjY2PDkyRMOHDhAs2bNfveU5OSF1fbHvo8ePcr06dP5+++/KVy4MIcPH5ZvlP8qpk6dyoIFC1i9enWK5wwhBE2aNCEwMJC7d++irKxMZGQkZcqUwdLSkgMHDgAQHh5O0aJFGTlyJPPnz8/yHF69ekWJEiU4depUjn//c+bMYe7cudy5cyfLGXDzAiEEx48fZ+LEiTx69AhILPm4dOlSOnXq9FuEd1xcHOvXr2fmzJnExsYyZcoUxowZ80vdZv38/GjVqtUvFbdv3ryhePHiuLu707Vr10xdM2PGDLZu3cqbN28y1T4pfPDp06eYmZnlZLr/1/xRwvZp4DearUisqyri45BFR6CkrU/Mx6d82jYmVWGbGjGfnvFpqwP5GvZGr04n+XGjG25cO3MEdXV1Wrdujb29Pa1atcrzD1ySVTW1rL+pla8JDQ1N0YdUKkVLS4uKFStmaFnV19dHKpUyb948nJ2dCQ4OZty4cfj4+Mjdb728vGjVqhVPnjzJUtzwiRMn6Nq1KxEREZQtWxZfX98MY0w+ffqEg4MDe/bswdramrVr18p3YzP7/pUpU4b69euzadMmImPief45nAePArh35zYPrp7H388nWXIsXV1dbGxs+Pz5M7dv307mUvyjiK1UqVKqLrzXrl1j4cKFeHp6UrRoUSZMmED//v1TLQMEUKZMGdq2bcvixYuB5InPspMMpaXhNy5tX8yNGzcoXbo0o0aNonfv3nlSi0+BAgUK/l+JiIigS5cunDp1ik2bNuWKO2pukRdW2x+RyWTUrVuXe/fuERUVRbt27Zg9ezYVK/6aWr9CCMaOHcuKFSvYsmULffr0kZ9LegY5cuQIbdq0kR/fvXs33bt35+zZs/JqDKNHj2bXrl28fftWXqkisyRtjOc0TvfJkydUrFiRcePGJctV8ru4cOECEydO5MqVK0ilUrS1tZk9ezZDhw79I8KSQkJCmDt3Lq6urhQtWhRnZ2c6duz4yzzMfoe4rV69OqVLl8602/zs2bNxc3Pj/fv3mWo/bNgwTp06JfcuVJA6f5SwnXXkATuuvk4hBLIqbBO+h/POpRu6tTui36gPAEKWgEHwA8Y0LIqtra08iVR2iYmJSVFXNT3h+rMLsLKyMgULFkxVpPr4+HD37l2OHDkiF6oFCxZk0aJF8mRSmSHJpdnHx4cz5y+wed9RjnudRFVZyuaVi9i9bQsfPnzI1BdNfHw806ZNY9GiRbRu3Zpx48bRtWtXdHR0OHnyJCVLlsywj+PHjzN06FCCg4OZM2cOo0ePzrSFfPDEWRx+EEzBylZ8k6nCj3MWAmlUCKGPLiF74kfYm8dAokvxjyK2Zs2a5M+fP80xhBD4+PiwYMECzp49S+nSpZk0aRI9evTIsI6emZkZHTt2xMnJSX4sO8lQikjDebF3AZ+e3ad58+Y4ODhgbW39x7g8KVCgQMH/GvHx8XKPnnnz5jFlypQ/IoQjL622SYwYMQI/Pz/Gjx/PrFmzePXqFV27dmXWrFmULl0618f7mSRvqg0bNrBr1y66du1KQkICVatWJV++fPj6+ia7byEE9evXJywsjNu3b6OsrMyzZ88oXbo0GzdupF+/flka//Lly9StW5f79+9n28oqhKBp06a8evWKe/fu/ZaSMkncvXuXyZMn4+XlhbKyMhKJBAcHB6ZMmZLCk+xPICAggAkTJnD06FH++usvli9f/ss8B361uJ0zZw5Lly7ly5cvmaq9nJSx+tOnTxm2FUJQsmRJbGxscHV1zY3p/t/y+/1uf8An4HO2M8omfA8HmYz48C+EXUrcLVEv/k+5HIlUCZ2ytenZM/XU7EIIQkNDMyVSP3/+nKpVVU9PL5lItbS0TPb6R+tqvnz50hQrt27domzZsvIP/71794iJiUmzJmxaaBUuRZG2YxjuHUSkpCqqbavRbq3/f8/WRbd7JWYffUh3SxPMjdJO/f7+/Xu6du3K5cuXcXZ2Zty4cUilUi5fvoy1tTV169bFy8uLqlWrpjsfGxsbHj58yLRp05gwYQK7du1i48aNqd5XZGQkly9f5rjvVbyC9IjOVxO1Cgl8E0qJGUR+RCJBpmWATjUbJDXaUjjsNU/d5zJr1tRMxSHIZDKOHj3KggULuHbtGlWqVGHv3r20b98+1dqAqREfH59CpP9cAuLw9aeExCknW8QlgLG2EtLAx9zZv4rPoR/p1asXow7vydNkDwoUKFDwb0FZWRk3NzdMTEyYNm2aPGfB7w49kkgkzJo1i9atW3Pu3Lk8sdoaGxsTGBhIr169sLe3Z8uWLcydOxcLCwt69+7NjBkz8jS0RSKRsGbNGqKioujRowfq6uqEhYVx7949Ll++nELMSyQSXFxcqFmzJuvWrWPEiBGYmZlhY2ODi4sLffv2zdIGwLdv3wByVO5n165dnDt3Dm9v798map8/f86MGTPYvXu3vPasvb098+bN++OSo/1ImTJlOHLkCKdPn2bs2LHUrFlTnqE5L0tmAjRo0IATJ07QqlUr2rRpw9GjR/P092dnZ8fMmTM5f/48zZs3z7C9VCqVh81lxNOnT3n16lWa4XgK/uGPsdhGxMRTcdZJUptMZiy2rxe3g4REq6hUQxe9evbo1mjzUyvBQP3HfP38KYULcFpW1bTcfX8+VrBgwVxzaa5bty6lS5dm69atAGzbto0+ffoQFhaWKUvzj5ZCiZAhJGlb+9IrmwBw8uRJevTogZqaGnv27ElRR/fLly/Y2Njw+PFjDh48mOkMyNeuXWPgwIHcv3+fMWPG4ODgwO3bt+UZi2/duoV6ucbkbz4EiVQJpJkTmABKEhAJ8ciu7+HpyW1pFiCPj4/Hw8MDJycnHjx4QP369ZkyZQrW1tZZ3jkvVqwY/fr1Y/bs2Wm2GTFiBGd9L7L/pC/RsfFcvnSBvZtWc8HnDMWKFWP48OEMHDgwXauyAgUKFCjIPlu3bmXgwIG0aNECDw+PNMNLfhV5bbXduHEjgwYNIjY2Vi7ko6OjcXNzY8GCBYSEhDBgwACmTp2ap0IjPj6ebt26cfjwYXR1dWnYsCH79+9Ps/2AAQM4ePAgT58+xcDAgDNnztCsWTN8fHyylBDpwIEDdOzYkeDg4GytrSEhIZQtW5bGjRvj4eGR5etzysePH5k3bx7r169HSUmJ2NhYmjRpwpIlS/64hGgZER8fz6ZNm5g2bRpRUVFMmjSJ8ePH5/lmQZLl1tLSMk/FrRCCUqVK0aJFC9asWZNh+0WLFsnDBTNi5cqVTJgwgZCQkN/+nfWn88cI2wcfwrBZdTHVc5kRttGv/0bExxIX/JbIB+fRLPtXsvjaJL7tnUIB5eh0RWrS63z58v0Wd6WiRYvSr18/5syZA4CDgwMnTpzIVK2rnMZ2zm5bnq41TYiPj2fWrFksWLAAa2trduzYQYECBVK9NjIykk6dOnHmzBm2bduWqXp5Hz9+xMfHB1dXV65cuULSn6Genh758uUj1rwxqjU6IITI0e+gqeF3No7pmOxYdHQ0W7ZsYfHixbx8+ZJWrVoxefJk/vrrr2yPU7hwYYYOHZpuaYOGDRuSP39+6tevj6urKy9fvqRu3bo4ODjQrl273249UKBAgYJ/AydPnqRjx45YWFhw7NgxDA0Nf+t88jLWNqkWbFLpvx+JjIxk9erVLFq0iMjISIYNG4ajo2OevR+xsbFUqVKFR48esX37dnr27Jlm28+fP2Nubk737t1Zs2YNQggqVKhAmTJlOHjwYKbH3Lp1K3379iU2NjbNTe70GDRoEHv27OHx48cp3r+8JDQ0lMWLF7N8+XLi4+OJi4ujQoUKLF26NFPWwD+ZsLAw5s+fz4oVKzAyMsLJyQl7e/s8Dbn6VeJ2zJgx7N27l7dv32Z4P0uWLGH+/Pl8/fo1w35btWpFXFwcp0+fzq2p/t/yxzxJx+aw9qd68UoAaJSqgYZ5bT5uGo5EVR3d6smttr369qO0gSq6urro6emhp6eX7P86Ojq/VWDExcXx8eNHihUrJj9269atDN18gRxl4034rxB2PHiPlx+DOLlsLBcuXGD+/PlMmjQp3Q+olpYWhw8fZuDAgXTr1o1Pnz4lq5knhOD169dya6yvr688+D1JyCZ9sL99+0bRhp0JN2tO6IVdGZZ7eu3UOs15qZtW4UzXeXhcf0PXmiaEh4ezbt06li9fTmBgIJ07d+bgwYO5susZHx+frtvykydPuHr1qjyLYZcuXdi7d+8vz1KpQIECBf92rK2t8fX1xcbGhjp16uDt7Z2lJIq5TatWrahRowazZ8+mcePGubqhnlRu5dOnTymEmZaWFhMnTmTIkCEsX76cZcuW4ebmxqhRoxg/fnyuew9FRETw4cMHihYtytChQzEzM6NOnTqptjU0NGTmzJlMmDCBwYMHU7lyZUaNGsWwYcN49epVpt2nIyIiUFNTy5aovXTpEhs2bGD16tW/TNRGRUXh6urKwoULiYiIICEhgUKFCrFgwQJ69OiR6fCoPxk9PT2cnZ0ZPHgwEydOpEePHqxatYrly5en+feQU36VW7KdnR0rVqzg5s2b1KxZM922UqmUhISEDPv8/v07Pj4+zJs3L7em+X/NHyNsVZVzb6dGRb8QqkYliXxwPoWwXb9mNdGfnpGeoVpLSyuF4M3q/9XV1bO1OH348AGZTCaPmZDJZNy+fRsbG5t0r/O4/gbnY3czVfs36NhyIu+fTdGHcv6iFBm0jvWXPxIvM8THx4cGDRpkat4qKips2bKFwoULM3bsWO7du0fNmjW5ePEiPj4+fPz4EQBtbe1kLt9GRkbyWrFBQUGs2uLOt9ItkUWEEHbJHSXdgqgYliDmTeq1YQ1aj0txLPbTU77dOIJ6iaoIIZh26G+uHtnBVtclREZG0rt3byZOnJirDzIJCQkpNkSSagq6uLhw/PhxADp37syKFSt+6c6vAgUKFChITrVq1bh8+TItW7akTp06HDt2LEdZc3PCj7G2Pj4+8mzAucGPwjYtdHV1mTlzJiNGjGDJkiW4uLiwevVqxo8fz+jRo3OcbDOJhQsXkpCQgJ+fH3369KFFixacO3eO6tWrp9p+xIgRuLm5MXr0aHx8fOjZsyeTJ0/G1dWVJUuWZGrMb9++ZSu+Ni4ujiFDhlCrVi0GDx6c5euzM96WLVuYNWsWgYGBKCkpoa6uzrRp0xg1alSWs0H/L1CqVCkOHDjA+fPnGTNmDHXr1sXe3h4nJ6c8iRv+FeK2Xr165M+fH09PzwyFrZKSUqaErZ+fH9HR0bRo0SK3pvl/zR8jbE0NtJBAqjG22UEWFyuPuZUjBK0bWfLhjSFv377lw4cPxMfHy08rKSmRL18+dHV10dLSkqdMDw8PJzQ0lNjYWKKjowkLCyMsLIyoqKg0x1dWVs6WIP7RkpmQkMCLFy+IiIhIN3HU25AoZh55gCwqPFNiMPFmVTBoOSrZIamapvx90mrQhxIVMmdNTEhI4O7du/j5+fHgwQPU1dXZsmULW7ZsQU1NjZiYGCAxS3Ht2rWTZSnW19dP1tcjoyZcfR2KkrYBRUfsSFbuKTW0K6RMBhb85h4gQcuiIRKJhLj4ePa8ktCnTx/GjRtH0aJFM3VfWeFHi21UVBQ7d+7ExcWFhw8fUrlyZcaMGcPy5ctZuHChQtQqUKBAwR+Aqakply5dwtbWFisrKzw8PLC1tf0tc0my2s6aNQsrK6tcs9omuRVnJvOqgYEBCxcuxMHBAScnJ+bPn4+LiwuTJk1i+PDhORIBr1+/ZuXKlUyZMoUSJUpw7NgxmjVrRvPmzfH19aVChQoprlFVVWXFihW0bNmS/fv306lTJwYOHMj69euZNWtWpsrfffv2LVtl8pYuXcqjR4+4ceNGnlpJZTIZ+/fvZ9q0aTx9+hQNDQ2kUinDhg1j2rRpaYaA/T/RqFEjbty4wbZt25gyZQplypRh/PjxTJo0KddLHOa1uFVWVqZNmzYcPnw4w7rLmU0e5e3tTdGiRRUJRTPJHyNstdSUMcmvyeuQtMXizwhZArLY7yipJ//Dj/kQQNyXV2iVa5jsePECWux12iF/LZPJ+PLlC+/evUv3Jzo6Wn6NkpIShQoVolKlShQuXFhejidfvnxoaWmhrq4uLzQeFhZGeHi4XAiHh4fz+vXrFMdT+8NOcsdIEtfDhw/HwMAgVVF8JsGCuHgNlLTzZ0oMQmKW6NREYeJJCfHiP+3deVyN6fvA8c85rUpIqCEhEbIvkxiyL4MsM7axzNiN3WA09n1n7KMxdgYzY4uxhRCSdRKNZC07RauW0zm/P/zqK22nOpnier9evV50nud+ntN2P9d93fd1w4Q9fmzp55ji5djYWC5dusSpU6c4fPgwFy9eJCYmJqkj1mg06OnpoVarsbS0ZOrUqTRq1IgyZcqk21kHPovAJygcFEoU+kr08puneWxaNKp4ogPOYmRTGf0CbzsEhZ4+hqWqMXR0Q6yLZb0yYnoSEhKIiIjA1dWVtWvX8urVK9q3b8/q1atp2LAhixYtwtTUNEerTwohhMicwoUL4+HhQa9evejUqRMrVqxgyJAhH/w+cipra2hoiIWFhVaBbSJLS0t+/vlnxowZw+zZs5kwYQKLFy9m4sSJDBw4MEv7pE6ePBlzc3PGjHk7y8rMzIxDhw7RpEkTmjVrxqlTp7C3t09xXqtWrWjbti1jx46lbdu2DBkyhEWLFrFlyxa+//77DK+blYztvXv3krYkzKkCTRqNBg8PD3766SeuXLmSdI/t2rVjzpw5lC1bNkeum1vp6enRt29fOnfuzLx581i4cCHr1q1jzpw59O7dW6frb3M6uO3QoQObNm0iMDAw3ZmB2mZsDx8+TOvWrXPFFmV5Qa4JbAEa2xdLto9t+OX9qGOiSIgMBeDN7QuoIl4C/P8UYw2PVn2HScUGGBaxQWFgTPyL+0T6HUNpZErB+t2S2tZTKmhcPnlBBKVSiaWlJZaWlmlOhdFoNISGhqYa8AYHB3Pjxg0ePnxIVFRU0jkKhQJLS0usra2TPqpVq5bs/8WLF8fY2BiNRkN0dHRSkLtixQq2bNnChg0bCAsLY9u2bVy+fJk2bdokBcSvXr3i/v37hIeHE44Jhh3f3rtC3yBTwaBGnYAmPvZ/mdp3JKg1eN1+yWnfW9gVzc+NGzc4cuQIR44c4d9//03xy2hjY0ODBg1wcnLC0dGRqlWrcvbsWTp06MDq1atp06ZNhr+U23yCMtzvNSNv7lxEHRuFqUOj998sW88HMc0la/vYpUWj0XD+/HnevHnDzJkzyZ8/P/369WPYsGHJ9vb18/OjcuXKsh+tEELkMsbGxuzcuZMxY8YwdOhQgoKCmDNnzgf/e51TWVtLS8tMBbaJrK2t+eWXX/jxxx+ZMWMGo0aNYuHChUyePJnvvvtO63Wrvr6+bN26lVWrViXLwJmbm3P06FEaNWpE06ZN8fLyokyZMinOX7JkCQ4ODixcuJApU6bQsWNHli9fzqBBgzL8HkVGRmYqsNVoNAwdOpQiRYqku8tBdvj4+PDTTz/h6elJwYIFAahevToLFy7E0TFlMuFTYmZmxuzZsxkwYACurq706dOHlStX8vPPP9OgQQOdXScng9vmzZtjbGzMvn37GDt2bJrHaRPY3r9/n5s3b2aY/RX/k2uqIsPbjF3zpaeT/v9wdV8Swp+nemyJwevQMyvMK88NxDy4hir8OZr4OPTyFyZf6eoUrNcV/UKWyc45NrohdjmQsdNoNISFhWWY+Q0LC0t2XtGiRZMFu9bW1hw/fpz79+9z6NAhSpQoQceOHcmXLx/79u1L9drT3G8kGwxIlF4l6bdrbE+gMDB8G9ga58ekkjPmjb5Dafi/dRwadQIRV/7m1bFfk52vUCjInz8/lpaWFC9enNKlS1OsWLGkTPK7GeWnT58yatQoTExMOHjwYLpTKZwXeqaasdemKnaiF3vmEH37IiWHb0H5Xib/s/z6eE9sme752oqLi+PPP/9k2bJlXLx4EYCuXbuydu3aVDvRGjVqULt2bdauXauT6wshhNC9xExl9+7dWb9+fZayk9mRWCH5+PHjOsvaNm3alCJFirBz585stRMQEMC0adPYsWMHtra2TJs2jW+++SbDqbqtWrXi3r17XL9+PdVg+MmTJzRs2BCVSoWXl1eqy4XGjx/PihUruHnzJg8ePKBhw4YcPnyYli3T79O//vprIiIiOHLkiFbv8c8//6RLly7s27cPFxcXrc7Rlr+/PxMnTmTv3r0UKlSI169fU6FCBRYsWEDbtm0lI5eKs2fPMnr0aC5evMjXX3/NggULUh38yKqcqpbcvn17QkND8fLySvOYtWvXMnDgwHRr/iTu5RwSEpI0CCLSl6sCW4Be63w4dzckW1m79+kpFdSztUh1Wu2HFBERwaNHj9INft/fz0qhUFC0aFFq1aqVIgi2trZm0P4nBL+OSXGt9ILBVyc3AmBoWRY0at7cvULU9eMYWVfC8pu5b/eN/X/xoY9R7Z2Era0tZcuWpXDhwigUirfZ4vemWSf++92p2+8zMDBIWsf87nRq00IWnLXqCKn8Ydc2sFXHRvNwRU+MbWtRrNPElAdoNNyY3gpTo6xPVHjx4gVubm6sXr2aJ0+e0Lx5c0aOHEnbtm359ddfGTBgQIpzVCoV+fPnZ8GCBYwYMSKVVoUQQuQWf/75J7169aJevXrs3r2bQoUKfbBrJ+5rmy9fPk6dOqWTYKdHjx48fPiQU6dO6eAO4dq1a0ydOpW9e/dSsWJFpk+fzldffZVq9vT48eM0a9aMv/76i6+++irNNoOCgmjQoAHGxsacOnUqqehVooiICMqXL4+zszPbt2+nVq1afPbZZ0mFGdPSsmVLzMzM0t0zN1FYWBgVK1bE0dGRPXv2ZHi8th48eMC0adPYvHkz+fPnJyoqiiJFijBjxgz69u0rW/1lQK1Ws23bNlxdXXn58iWjR49mwoQJOitqlhPB7fr16+nfvz9Pnz5Nc/us9evX069fPxISEtKcedChQwdCQ0M5ffp0qq+LlHLdb9OcjlVo9vMpnQa2+koFczpW0Vl7WWVmZkaFChWoUKFCmsdUrVqVKlWqMGDAAHx9fRk1ahS1a9fGwMCAK1eu4O7uzrNnzwBQGOaj5Og/Mt3xmTf6Ltn/TSs5Y1C4BK9Pbyb65plka5MNCxfH++o1DBRq4uLikj7i4+PT/H90dHRSoBsREUFERAQvX77k6NGjhIWFYWVlhbGxMW/evCEoKIjY2FjiTIuRr2OnTL2P90UHnEWjisO0UqPUD1AoOOcXSPPaFTPd9rVr11i2bBnbtm1DqVTSq1cvRowYgYODQ9Ia6bQ6p8DAQGJjY6lS5b//GRRCCJG+zp07Y2VlRfv27WnQoAEHDx5MtgVfTsqJtbZWVlZcvnxZB3f3VtWqVdmzZw8XL15kypQpdOnSherVqzNz5sxky47UajU//vgjdevWpVOn9Pt3GxsbTpw4QYMGDWjevDmenp7JCieZmZkxb948vvvuO4YMGcKIESPo06cPt27donz58mm2GxkZSfHixbV6X5MmTSIiIoLly5drdXxGXrx4wZw5c1i9ejWGhoYYGRmhUqmYMmUKP/zwg84LI32sEp+5OnXqxMKFC1mwYAEbNmxg1qxZ9O3bN9vFvXJiWnK7du1QKBQcOHCAvn37pnpM4n2nFdjGxcVx/Phxfvrpp2zdy6cm1y34K1nYhOk6Xgc5w8WBkoVzZjNmXXv48CFVqlRJKrYE4Obmxt69e7l06RJPnz4lJiaGe/fusWX3IZ1NXTGr0x4USmLu+yb7vAawq+GUNOW4fPnyVK5cmRo1auDo6EiDBg1o2rQprVq1wsXFha+//prevXszbNgwJk6cyKJFi9iwYQNHjhxBX18fQ0ND/Pz8ePjwIQqFgoIFC2JtbU2ZstnfeifqxkkURqaY2H2e5jGbtmzTur2EhAT27dtH48aNqVatGkePHmXatGkEBwfj5uaGg8Pbn9PEytpp/XH183tbnVoCWyGEyBsaNGjA2bNnCQ8Px8nJKenv+Ifw7lpbXUyqs7KyytIa24zUqVOHQ4cO4eXlRcGCBWnXrh1OTk54eHig0WjYuXMnV65cYcGCBVo9q5QtW5bjx4/z7NkzWrZsyevXr5O93qtXLz7//HNGjBhB586dKVq0KCtWrEi3TW2LR128eJFVq1YxY8aMbA9iREREMH36dGxtbXFzc8PExITo6Gi+/fZb7ty5w5QpUySozQJTU1OmTZvGrVu3aNGiBQMHDqRmzZqcOHEi220nBrc+Pj60a9cu3V1PtFG0aFHq1avH3r170zwmMZhNqzLyuXPniIyMpHXr1tm6l09NrgtsAbrVsWFsi7RH4DJjXAt7utbR/X5YOSEyMpJXr14l7d915coVihQpQokSJZIdZ2RkROnSpalUparOrq00MEKZz4yEmIgUry1YtIQDBw5w9OhRPD09OXv2LBcvXsTX1xd/f39u375NUFAQT58+JSQkhIiICGJjY1Gr1cTHxxMVFcWrV694/vw54eHh9OnThydPnvDtt99y+fJlvL29WbfWLVv3r4oMJSbIDxP7eij00y5osW/PLp4/T33ddqKwsDB+/vlnypcvT4cOHYiNjWXnzp3cvXsXV1dXLCwskh2fuPg/vcDWysrqkyjbL4QQH4uKFSvi7e1N0aJF+eKLL3TyAK2NxKytl5cXnp6e2W7PysqKsLAw3rx5o4O7S+mLL77A09MTDw8PAFq0aEHDhg0ZM2YMLi4umSr6U7FiRTw8PLh37x6tW7cmIuJ/zyRKpZLly5cnFaMaPHgwGzduTFG/5F3abPejUqkYOHAg1apVY/jw4Vrf6/tiY2NZunQptra2zJ49G1NTU968eYOzszM3btzgl19+STHFWmSetbU1W7ZswcfHB1NTU5o2bUqHDh0IDAzMVru6Dm47dOiAh4dHsuKy73o3Y5uaw4cPY2lpSbVq1bJ1H5+aXBnYAgxrXI55napgpK9ET5m5rKSeUoGRvpL5naowtLFdDt2h7gUHBwMkjRZevXqVmjVrpjnSaaivu2+fOjYadXQ4eiYpF6c3b9qYNm3a0Lx5cxo1akS9evWoXbs2VatWpWLFipQtW5aSJUtiaWlJ4cKFyZ8/P4aGhqnet4GBAevWrWPixImMHTuWMWPGoFark/Yxzqpo/9OgUac9DRne7pMc8TzNEd7AwEBGjBiBtbV10vQpHx8fzp07R5cuXdKsAJmYsU1rKrKfn59ka4UQIg8qXrw4p0+fpm7durRq1Yrff//9g1xXl1nbxGAqcRlTTlAoFDRr1gxvb2/279/P3bt3efLkCSEhIUkFFrVVrVo1jhw5wo0bN3BxcUkWYDg6OtK7d28mTpxI9+7diYmJYcOGDWm2pU3GdsWKFfj6+uLm5pal9a4JCQls3LiR8uXLM2bMGPLly0d8fDylS5fm9OnT7N27N90laCJrPv/8c86ePcv27du5evUqDg4OjBkzJkWmPzPeDW7f/9nLrPbt2xMTE8PRo0dTfV2bwLZly5aym0Ym5eqvVrc6Nhwb7Uw927cZsowC3MTX69lacGy0c57J1CYKCgoCSJaxrVGjRprHZyUY1KjiUMem/EUNO7cD0JCvTM1kn1f8/3V0SaFQMGvWLFatWsXPP/9Mz549MVCosXlvunj45f28PruDyGtvR4Hf3L7A67M7eH12B+qY5CNgUf4n0ctfGONSaQeQNhYmDOzzLStXrkwaBdZoNBw7dox27dphb2/P9u3bGTVqFA8ePGDbtm18/nna05oTaZOxlcBWCCHyJjMzMw4cOECPHj3o0aMH8+fP18kU4fQoFAqmTp2qk6xtYmCbE9OR36dQKGjQoAGxsbE0bdqU0NBQPv/8czp06MC1a9e0bqdOnTocPHiQCxcu0KlTJ2JjY5NemzdvHrGxsaxZs4YuXbqwYsWKNIODjLb7CQ4OZvLkyQwdOlSr/v5dGo2GvXv3UrVqVfr06YNSqUSj0WBoaMgff/yBt7e3TreoESkpFAq6devGzZs3mTp1Km5ubtjZ2bF69eqkpENmJQa358+fz1Zwa2dnh4ODQ5rTkdObivz48WN8fX1p1apVlq79KcvVgS28XXO7pZ8jHqMa0suxFKUsTFIEcwqglIUJvRxLcWx0Q7b0c8wza2rfFRwcjEKhoHjx4rx48YKHDx9Ss2bNNI83NdLPdDCYEPmKR6v7EHJkNeGX3Am/5M7zP6cR7rMbY9ta5CtfN1l7NhYm2aoinJ4hQ4bw559/smvXLtq0aUP9MoWSDV6E++whzGsrkVcPAhB96xxhXlsJ89qKOiYy6bj4kIfEPb2NScWGKBSp/0gn7mP8ww8/EBUVxapVq1i7di1VqlShefPmBAUF8dtvvxEUFMTMmTO1LjYB/wtsUxvpjYyM5O7duxLYCiFEHmZgYMD69euZMmUKrq6uDBs2LMM9KLOrTZs21KpVK9tZ2w8Z2ALMnz+f6OhoNm/ejJ+fH1u2bOH69etUq1YtKQjRxhdffIG7uzsnT56kW7duxMfHA/DZZ58xadIkVq1aRbt27bh7926q1ZHj4+OJjY1NN7AdMWIEBQoUYNasWZl6jydPnsTJyYmOHTvy5s0bjIyMiIyMZNmyZfj7+9O5c2fZvucDypcvHxMnTiQwMBAXFxeGDRuWlPnPCl0Ftx06dODAgQOpBtnpZWyPHDmCQqGgefPmWbrupyzXbfejjahYFfdDoohTqTHUV1LawjTHgq8PacqUKaxfv56HDx9y9OhRWrZsya1btyhXLu3CSu/vY5vR3r9KY1NCPdyIfXyThMhQNGo1BuafYerQiAKfd0Kh97+vo55SQS/HUkzTcTGv9506dYr27dtTtGwV4lu45th1jo1uiHFcGG3atEkqBOLi4sLIkSNp1KhRljuhZ8+eYWVlhbu7O+3atUv2mo+PD3Xr1uXSpUvUqlUr2+9BCCHEf2vt2rV8//33tG3blt9//11ne1+m5sCBA7Rr1y5b+9qq1WoMDQ1ZuXIlgwcP1vEdJvfo0SPKlSvH6NGjmT17dtLn4+Pj2bRpEzNmzODRo0f06tWLKVOmYGtrm2GbBw8epEOHDnz11Vds3boVPT09YmNjqVy5MqVLlyYyMhITExOOHz+e7LzQ0FAsLCzS3GrI3d2d9u3b88cff9C5c2et3t+VK1eYMGECR44cwcbGhrCwMGJjY/nhhx/48ccfZa/RXOLKlSuMHj2a06dP07p1axYvXkzFipnfESNxK6C6devi7u6e6d/1ixcv8vnnn+Pp6UmjRo2SvbZv3z46dOjAixcvUtRg6dq1K/fv38fHxyfT9/ypy/UZ29SYGunjULwgNWzMcShe8KMIauHtVOTEachXr17FzMyMsmXLpntOD0ebZFsjWQ9ZTynXA6l+6BeyRGmcnyLtxlBi0Fpsxuyi1Lg9FO+/moJOXZIFtQAJag0Ni+f8iGO5cuWoX78+t6+cIfbBPyjR7ViLnlJBlaIGTBoxgNKlS3Pnzh00Gg2zZ89m7969NG7cOFsjq+llbP38/FAqlVSqVCnL7QshhMg9BgwYwL59+/Dw8KBp06a8fPkyx66li6ytUqnE0tLyg2Rsp06diomJCT/++GOyzxsYGNC/f38CAwNZtmwZR44cwd7ensGDB/Pw4cN02/zyyy/Zvn07f/75J/3790etVmNkZMSSJUs4duwY9erV48SJE1y/fj3pnKhYFVfuPcfws/K8Jj9RsckzZpGRkQwbNozWrVvz9ddfZ/i+AgMD6datG7Vq1cLPz4/PPvuMoKAgOnXqRGBgILNnz5agNhepWbMmJ0+e5K+//uLmzZtUqVKFESNGEBISkql2spu5rVWrFiVKlGDfvn0pXkucivx+xlalUuHh4SHVkLMoTwa2H6vg4OCkwlFXrlyhevXqGS4aL2dpRgO7IpkusJURJRrUj2/Qql51Ro0alSMdd3x8PIsWLcLe3p6LFy+ycOFCzG7+TYIqXodX0ZAQH8fhGb25dOkSP//8M0+ePKFjx45s3LhRJ1PJ0tvux8/Pj3LlypEvX75sX0cIIUTu0KZNG06dOsXdu3epV68ed+7cyZHr6KpCck5t+fMuf39/NmzYwJQpU9IM8oyMjBg2bBh37txh7ty5/PXXX9jZ2TFq1Kh0i1t99dVXbNq0iU2bNjF8+HA0Gg1t27alZcuW7N69m88++4w5qzYwzf0Gzgs9qTztCP3/usNn3y5h5iUVlacdwXmhJ9PcbxD4LIJp06bx8uVLVq1ale7A9qNHjxg0aBAVK1bE09OTsmXL8vjxY6pVq4avry/r16/H2to62187oXsKhYKvvvoKf39/5syZw8aNGylXrhzLli1LmtaujcTg1tvbO9PBrVKppH379uzduzfFwFRaU5EvXrzIq1evZH1tFklgm4u8n7FNb33tu+Z0rIK+jgNbA309js3px/Tp01m/fj1ly5Zl3rx5Otsu4Pjx41SrVo3x48fTp08fAgICGDt2LN4e+yl0x0Mn13hLQbEgT/Zs/Y1bt24xfPhwzMzMGD9+PLdu3Up3jzFtZZSxlfW1Qgjx8alduzbe3t4AODk5Zbr6r7Z0kbX9EIGtq6srpUuX1mq6s4mJCWPHjuXevXtMmjSJjRs3Ymtry08//URoaGiq5/To0YO1a9eyevVqxo0bB8DSpUt5EhFHwQ6TOFeoCVvO3+dBaHSKeV8a4EFoNFt8HtB86Wm2PizEqEkzKVOmTKrXCg0NZfz48djZ2fHHH39QqVIlnj9/ToECBfDw8ODQoUNUraq7LRdFzjE2NubHH38kMDCQzp0788MPP1C5cmUOHDig9e9Tw4YNOXToUJaC2/bt23P//v0Ue2EnBrbvF486fPgw5ubm1KlTR+triP+RwDaX0Gg0SRnb8PBwAgMD062I/K6ShU2YruN1sDNcHChfwoKffvqJO3fu8O233zJ58mTKly+frUxncHAwXbp0oVmzZlhYWHDlyhWWL1+Oubk5ABYWFnhvXYTlswv/f0bWOvHEP1a9qxXiwo5ltG3bNln229HRkcaNGzNv3rxsV7dMK2Or0WgksBVCiI+Yra0t586dw87OjkaNGnHgwAGdX0MXWducDmy9vLzYv38/s2fPxtDQUOvzzMzMmDRpEnfv3mXUqFGsWLGCMmXKMH36dMLDw1Mc369fP5YvX87ixYuZNm0a/0SYULz/L0Sbvc2aJmTQnScu3TIuVZVdbyqx42JQstejoqKYO3cutra2rFy5ksqVKxMeHk5YWBhbtmzh0qVLNGvWTOv3J3IPS0tL3NzcuHr1KiVLlqRdu3a0aNEiRcCZlqwGt40aNaJAgQIpEilpTUU+dOgQLVq0SHOnDZE+CWxziRcvXhAbG4uNjQ2+vr4AWmds4e3WSGNblNfJvYxrYZ9sq6SiRYuyfPly/v33X5ycnOjTpw81atTg8OHDWgeFsbGxzJ07lwoVKuDl5cWWLVs4ffp0qhtPm5iYcPbXyVSMuIo6Pg5FJoNbhUYNqjiqxfgxo1v9NI9zdXXl0qVLnDhxIlPtvy+tjO2zZ894+fKlBLZCCPERK1KkCMeOHaNFixa0b9+eX3/9VefXyG7WNicDW41Gw7hx46hVqxZdunTJUhuFCxdm9uzZ3L17l/79+zN37lzKlCnD/PnziYpKvr3f8OHDmT9/Pks9buK62w+1Qg+FMpNBgFKPWJUa191+rPQMJC4ujtWrV2NnZ8fUqVOTCg3dvn2b+fPnExAQQM+ePWVP0Y9A1apV8fDwYN++fTx48IDq1avz/fff8+LFiwzPzUpwa2hoyJdffpkisE1tKvKLFy+4dOmSTEPOBvkNzSXe3cP2ypUrGBkZZXpD72GNyzGvUxWM9JWZXnOrp1RgpK9kfqcqDG1sl+oxiVNyzp8/T6FChWjdujXNmzfnypUr6bZ9+PBhqlSpwuTJkxk8eHBSB5HeuhZ9fX0OrpjI1yb/En3vatI9piex6NQX5YoxsOQL3Jf+lOqC/UTNmzenRo0azJs3L912M5JWxjZxFFACWyGE+LiZmJjw119/8f333zNo0CAmT56s071us5u1TQxsc2IjjF27duHj48OCBQuyHfgVK1aMxYsXc+fOHbp168bkyZOxtbVl2bJlxMTEJB1n07gb5s69s3vrACw6egv7L/swbNgwypQpg7m5OVeuXGHw4MHcvn2bsWPHYmxsrJNridxBoVDg4uLC9evXWbRoETt27MDOzo5FixYl2zM5NVkJbjt06MDVq1eTnvUh9anIHh4eaDQaWrZsmcV3JiSwzSWCg4MBKFmyJFevXqVq1aoYGBhkup1udWw4NtqZerYWQMbBYOLr9WwtODbaOVmmNi2Ojo6cOnWKffv28ejRI2rVqkXPnj25f/9+suPu379Px44dad26NSVKlMDX15fFixdToEABrd6LQqFgyYyJTG9UlMe/DaHoq38pbqYPqXTMpSxM6O1UJmkf4wkjBtKhQwf69u2bZsVFhUKBq6srx44d49KlS1rdU2rSytj6+flhYmKi1XYGQggh8jY9PT1WrFjBggULmDVrFt999x1xcXE6az87WVsrKytiY2MJCwvT2f3A2yKQEyZMoFWrVlnejig1JUqUYNWqVdy6dYu2bdsyZswY7OzscHNz486zMKa630Ad94bXXtt4tnMKwUu78WBeWyKvHUvR1oN5bdP8eLZjEhqNBk3NzpSp/HbNdLNmzbh58yaLFy/GwsJCZ+9J5D6GhoaMHj2awMBAevXqhaurKw4ODuzZsyfd37HMBretW7fGwMAgWbIltanIhw8fpnr16nz22WfZfGefLglsc4mgoCCMjY0pUqQIV65c0Xp9bWpKFjZhSz9HPEY1pJdjKUpZmPB+eKvgbTDYy7FUUjBYsrD2+3Mljnb5+fnh5ubG8ePHsbe3Z+zYsTx+/JgZM2ZQsWJFLl68yI4dOzhx4gQODllbBzxo0CAmDuvLRbcf8Z7YiogNA2mt+Idfvy7H38O/4Ma0lpwa25hpLg7YFTNLur9169ZhYmJCjx490lwT/NVXX1G2bFnmz5+fpXuDtDO2165dw8HBQaYuCSHEJ0KhUDBu3Dh+//13tm/fTtu2bVNdK5rVtrOatbWysgLQ+XTktWvXJk3XzQmlS5dm3bp1+Pv74+zszPfff09T17XEqxJQR4cTdnY78SHBGBRLvQgUgEXbMSk+zGq7AGBcpgYKhQINCgzqf8vFixfZtm1bmkWlxMepSJEirFy5kmvXrlGuXDk6depEkyZNuHr1aprnZCa4LVCgAE2aNEkW2L4/FVmtVnPkyBGZhpxNCk1OzEsRmTZmzBj279+Pr68vZmZmrFq1ikGDBums/ahYFfdDoohTqTHUV1LawlSn+/9GRkayZMkS5syZQ3x8PAqFgpEjRzJ9+nTy58+fpTbfvHnDtm3bWL58OX5+fpQpU4anT59iZ2fHkSNHtBrR8vLyolGjRkyZMoWpU6emesyvv/7K4MGDuXnzJuXLZ36d8oULF3B0dMTX1zdZlcRatWpRvXp11q1bl+k2hRBC5G2enp507NiR0qVLc/DgQYoXL57tNjUaDXXq1MHExIRTp05pvQd7YGAg5cuXx9PTk0aNGmX7PgAiIiKws7OjVatWbNq0SSdtZuTg2SsMOfAEAI0qHnVMJHr5zYl9EsjTTaOx+HIU+atmXNwp5OByIq95UGLIBvQLFEn6/LHRDZMGyMWn69ChQ4wZM4abN2/Sp08fZs+enTQ49L7Tp0/TunVrnJyccHd3x8Qk9STRmjVrGDZsGC9evMDc3Jzz58/j5OSEn58flStX5vLly9SuXZuTJ0/i7Oyck2/voyappFwiODgYGxsbrl+/TkJCQqYKR2nD1Egfh+IFqWFjjkPxgjoNauFtoaQLFy4QGxtL8eLF0Wg07Nq1i3379qUoZZ6RR48eMXHiREqWLMnAgQMpXbo0x48f586dO1y4cIHQ0FDq1avHrVu3MmyrQYMGTJkyhRkzZnD69OlUj+nduzeWlpYsXLgwU/eZKDFj++5U5ISEBPz9/WV9rRBCfKIaN26Ml5cXISEh1K1bF39//2y3+W7W9uTJk1qflxMZ28WLFxMWFsbMmTN11mZGLoQYJS2hUugboJffPNNtaFTxRAecxcimcrKgVk+pYOv5oHTOFJ+K1q1b4+vry/Lly9m7dy/lypVj7ty5ydZ5J3o3c9u+ffs0M7cuLi4kJCRw8OBBAOI0CgyKlcH/eTQ3Hoex/9BRzMzMcHJyytH39rGTwDaXSNzD9sqVK+jp6eWZgCg6OpopU6bg4OCAn58fu3btIigoCH9/f2rWrEnPnj2pXbs2x48fz7AtHx8fvvnmG0qXLs2KFSvo2bMnt27dwt3dnSZNmqBQKKhcuTLe3t7ky5eP+vXr4+Pjk2G7kyZN4osvvqBHjx6EhISkeN3Y2JjRo0ezadMmHj16lOmvQeI0knenIt++fZuYmJg8830UQgihe1WqVMHb25tChQpRv379NAdYMyMra23z58+PiYmJzgLbp0+fsmjRIkaMGIGNTca1OXTFM+B50pY9WfXmzkXUsVGYOjRK9vkEtQbPW8+z1bb4eBgYGDBs2DBu377NgAEDmDJlChUqVOCPP/5I8XuXGNyeO3cuzeC2ePHi1Gz0JcvOPMZ5oSe93V9SvO8KfvR4QZsVZ9gYWQWrAWuYcziQwGcRH+ptfnQksM0lEvewvXr1KpUqVcr1Ffg0Gg179uyhUqVKzJ8/n3HjxvHvv//SqVMnFAoF9vb27N69mzNnzmBsbEyzZs1o3bo1165dS9ZOfHw8O3bswMnJibp163LhwgUWLVrEw4cPWbp0KXZ2KSs0lyxZkjNnzmBvb0+TJk2SRr/Soqenx7Zt24iOjqZfv36pPggMHjwYExMTli5dmumvRWrFo6QishBCCABra2u8vLyoWbMmzZs3548//shWe4lZ29OnT2udtVUoFDrd8mfGjBkYGhry008/6aQ9bUTGqggK1W7v0PRE+Z8EPQNM7VNuBxgUEk1UrCrb1xAfD3Nzc5YsWcKNGzeoWrUqXbt2pUGDBly8eDHZcekFt8Gh0fRa50NI3SE8K2DPg9R+jhUK4gwLssXnAc2XnqbXOh+CdfDz/qmRwDYXiIuL48mTJ0kZ2+wUjvoQAgICaNWqFZ06dcLBwYEbN24wc+bMVNcV1K9fn7Nnz7Jr1y7u3LlD9erV6dOnD9euXUvap6579+6YmJiwb98+AgICGDlyZIaVkwsXLoyHhwfNmzfHxcWFjRs3pnu8tbU169evZ9++faxevTrF6wUKFGDIkCGsWbOGV69eZerrkVrxKD8/P4oVK0axYsUy1ZYQQoiPT8GCBTl06BCdO3ema9euLFmyJFtb72Qla2tpaamTwDYgIIBff/2VCRMmYG6e+anAWfUgJCqTu9qnpI6N5s2dS+QrWxulccr6HxrgfkhUyhPFJ698+fK4u7vj4eFBWFgYn3/+Ob1790420y+14HbHxSCa/XyKc3ffzhjMaM/lxBkJ5+6G0OznU+y4KNPjM0MC21zg0aNHaDQaPvvsM65du6bz9bW6EhkZiaurK1WqVCEwMBB3d3cOHDiQalb1XQqFgk6dOnHjxg0mTJjAjh07qFatGpMnT6ZJkyb4+vpy/PhxXFxcUlQWTk++fPn466+/6NevH3369GHu3LnpdvDt27dn6NChjBkzBl9f3xSvjxw5kvj4+FQD3/SklbGVbK0QQohEhoaGbN68GVdXV8aMGcPo0aPTrNifkaxkbXWVsZ0wYQIlSpRg2LBh2W4rM+JUmavXkZrogLNoVHGYVmqUo9cRH69mzZpx9epV1qxZw+HDhylfvjwzZsxIytC+G9w2GDwL191+xKrUmZ5Cn6DWEKtS47rbj5WegTnxVj5KEtjmAol72KpUKmJjY3Ndxlaj0fDHH39QsWJFli1bxsSJE7lx4wbt2rXTqiKjWq3mwIEDtG7dmtmzZ2Nubk6jRo0wNDTk4MGDeHp6ZnmvP319fdasWcP06dOZMGECI0eOTPdBYdGiRdjb29OtWzeiopKPylpaWtK3b1+WLVum1YbbidLK2EpgK4QQ4l1KpZK5c+eyatUqVqxYQdeuXXnz5k2W2sps1lYXga23tze7d+9m5syZH3zJlKF+9h9Zo26cRGFkiond5zl6HfFx09fXZ9CgQQQGBjJs2DBmz56Nvb0927ZtQ61W07BhQ8b/uo+QEimnu2fFoqO32CmZW63Ib28uEBT09of12bNnAFSvXv0/vJvk/P39adasGV27dqVWrVr4+/szdepU8uXLl+G5ERERLF++HHt7e9q1a0dERAS///479+/fx9PTk9u3b9OpUyd++OEHKlasyM6dO7M0NUuhUDBlyhTc3NxYtWoV3bt3T7VyHbwtFLVjxw6CgoIYOXJkitfHjh1LSEgIGzZs0Pr672dso6KiuHPnjgS2QgghUjVkyBB2797NwYMHad68eaqFDTOS2aytlZVV0nNGVmg0Gn788UeqVq1Kjx49stxOVpW2MEW7zY1Sp4oMJSbIDxP7eij0DVI9RvH/1xFCGwULFmT+/Pn4+/vz+eef07NnT5ycnNh37AzbbsZr1UbYuZ08mNeWx78NSfe4Ke43ZM2tFiSwzQWCg4MpXLgwN27cwM7OLsP1pR9CeHg4Y8aMoVq1agQFBXHw4EH27t2r1abld+/eZfTo0VhbW/PDDz9Qu3ZtvL298fHxoXv37hgaGgJvK8T9+uuv+Pn54eDgQLdu3XB0dOTUqVNZuueBAweye/du9u/fT+vWrQkLC0v1uIoVK7J8+XLWrVvHzp07k71ma2tL165dWbhwIfHx2v1Rej9j6+/vj0ajkcBWCCFEmtq3b8+JEycICAigfv363Lt3L9NtZCZra2VlxfPnz7M8/Xn//v2cOXOG+fPnZ2rZkK6YGulTzDTr1432Pw0adbrTkG0sTHS+HaL4+JUtW5Zdu3Zx8uRJ4uPjGfibJ7HxGRchU4W/JMz7DxQGGc9+UKk1TNjjp4vb/ahJYJsLJG71c/Xq1f98fa1Go2Hbtm1UqFCBX375henTp3P9+nVat26d4Xmenp506NABOzs7Nm/ezNChQ7l//z7bt2+nbt26aZ5bqVIl3N3dk0acGzVqRLt27bhx40am7799+/YcO3YMX19fGjZsyOPHj1M9rm/fvnTt2pWBAwemeJgYP348Dx480Lpy5fsZWz8/PxQKBQ4ODpm+fyGEEJ+OunXrcu7cOVQqFU5OTly+fDlT52cma2tlZYVarebly5eZvk+VSoWrqytNmzalZcuWmT4/u27evMnXX39N4Kk9aNT/C8zDL+/n9dkdRF7zAODN7Qu8PruD12d3oI5Jvtwoyv8kevkLY1wq9UFnPaWCxuWl4KPIOmdnZ37/25N8ZWqCIuMQ65XnOoyK22NolX6tGni75tbr9ktuP5etgNIjgW0uEBQUhLW1NVevXv1P19deu3YNZ2dnevbsSf369bl58yYTJkzAyMgozXNiYmJYv3491atXp0mTJty+fRs3NzeCg4OZM2cO1tbWWl/f2dkZHx8fdu7cib+/P1WrVmXAgAFpBqdpqV+/PmfOnOHVq1c4OTlx8+bNFMcoFArc3NywsLCge/fuybKz1apVo3Xr1sybN0+rqdHvZ2z9/PwoW7ZsqlWihRBCiHeVK1eOc+fOYWNjg7OzM4cOHcrU+dpmba2srACytM5248aN/Pvvv8yfP1+r2hq6EhwcTP/+/alUqRKnT5+mcMiNZFVlw332EOa1lcirb7f9i751jjCvrYR5bUUdE5l0XHzIQ+Ke3sakYkMUaQQcCWoNPet+uD15xcdpx8WH6Ckz/h2JCbpO9M2zmDcdqHXbekoFW8/LWtv0SGCbCwQHB1OwYEEiIiL+k4zt69evGTlyJDVr1uTFixd4eHjw559/prvp+uPHj5k8eTIlS5akf//+2NjY4OHhgZ+fHwMGDMhyUKdQKOjSpQv+/v4sWbKEPXv2YGdnx+TJkwkPD9e6nUqVKnHu3DnMzMz44osvOH/+fIpjChYsyPbt27l8+TJTpkxJ9pqrqyvXr1/PcI9cSD1jK9OQhRBCaKtYsWJ4enrSuHFj2rVrx7p167Q+V6FQMHXq1AyztlkNbKOjo5k6dSrdu3enVq1amTo3q16+fMmYMWOws7Pjr7/+olSpUrx48YIihioqmpMUOFgPWU8p1wOpfugXskxqz8DCmlKuByjctH+q19NTKmhgVwS7YmYf5P2Jj5dnwPMMKyBr1AmEeqwhf7UWGBYrrXXbCWoNnreeZ/MOP24S2OYCQUFBSaOsHzJjq1ar2bhxI/b29qxbt465c+fi6+tLs2bN0jznwoUL9OjRg1KlSrF06VK6d+9OQEAA+/fvp1mzZjobyTUyMmLkyJHcvn2bkSNHsmjRIuzs7Fi1apXWa1+tra3x8vKiUqVKNGnShAMHDqQ4xtHRkVmzZjF//nyOHTuW9PkGDRrg5OTEvHnzMrxOahlbCWyFEEJkhqmpKXv27KF///70798/U3vUtm3blpo1a6Z7jqXl20Avs4Ht0qVLefHiBbNnz87UeVkRGRnJzJkzKVOmDKtXr8bS0pKwsDAsLS05dOgQ3t7e/Nq/MfpaZMQyQ1+pYE5H6bdF9kTGqgjSosBT5NVDqMJfUKhhr0xfIygkmqjYjNfvfqoksP2PhYeHExYWRmRkJNbW1hQtWvSDXPfKlSt88cUX9OnTh6ZNmxIQEMC4ceOSCju9Kz4+np07d1KvXj0cHR3x9vZm4cKFPHz4kOXLl1OuXLkcu89ChQoxd+5cbt26RZs2bRg+fDgODg7s2rVLqw7f3NycI0eO0KpVKzp06MD69etTHDNu3DiaNWtGr169eP787UiYQqHA1dWVM2fOcObMmXSvkZix1dPT4/nz5zx//lwCWyGEEJmmr6/PL7/8wuzZs5k+fTr9+/fXajBXm7W2RkZGmJubZyqwffHiBfPmzWPIkCFaFY/MqtjYWFasWIGtrS0zZszAzMyMmJgYihcvzuHDh/H29qZVq1YoFApKFjZhuotua1jMcHGgZGFZPiSy50FIFBk9mSa8Cee11zYK1euKnknBTF9DA9wPicrwuE+VBLb/scQ9bJ8+ffpBsrWhoaEMGTKE2rVrEx4ejqenJ7///jslSpRIcWxISAjz5s3D1taWbt26YWxszN69ewkMDGTUqFEULJj5X8isKlmyJBs2bOCff/6hbNmyfP3119SvX5+zZ89meG6+fPn4888/GThwIP369WP27NnJgmKlUsnmzZtRq9V8++23qNVvN2dv27YtlSpVYv78+em2r1KpUCqVKBQK/PzeVqyTwFYIIURWKBQKJkyYwKZNm9i8eTMuLi5ERkZmeJ42WdvM7mU7a9YsFAoFkyZN0vqczEhISGDLli3Y29snbcGnUqmwsbFJCmhbtmyZYjZYtzo2jG1RXif3MK6FPV3ryNpakX1xKnWGx7w+vQVlvvyY1W6Xo9f5VElg+x9L3MP2zp07Obq+Vq1Ws3btWsqXL8+2bdtYsmQJV69epVGjRimOvXHjBoMGDaJkyZJMmzaNFi1a8M8//3DixAnat2//n5T5T1S1alUOHTqEh4cHMTExfPHFF3Tq1ImAgIB0z9PT02PVqlXMnDmTSZMmMWzYsGRbHlhZWbF582YOHz7Mzz//DLwNeMePH8+BAweSAtbUJCQkJJuGbGxsjJ1dxhXuhBBCiLT07t2bgwcPcvbsWZydnTMMSLXJ2mYmsL179y6//PIL48ePp0iRIpm9/XRpNBrc3d2pVq0avXv3JiIiAo1Gg62tbboB7buGNS7HvE5VMNJXalWs5116SgVG+krmd6rC0MbSXwvdMNRPP6yKD31E5D9HMKvlQkJEKKrXz1C9foYmIR6NOgHV62ckvMm46nFG1/mUyVfmPxYcHIxCoSAkJCTHMrYXLlygbt26DBw4kDZt2hAQEMCoUaMwMPjfBuVqtZq///6bFi1aULlyZfbv38+ECRMIDg5m3bp1VKtWLUfuLauaNWvGpUuX2Lp1K5cvX8bBwYEhQ4aku/l84qjz2rVrWbNmDV26dCEmJibp9ZYtWzJ27Fh++uknLl26BED37t0pWbIkCxYsSLNdlUqVrHBUpUqV/tPgXwghxMehefPmeHl58fTp0zSr/L8ro6xtZgLbiRMnUrRoUUaNGpWVW0/T6dOnqVevHu3bt0+atVauXDmtA9p3datjw7HRztSztQDIMMBNfL2erQXHRjtLplboVGkLU9L7CUyICAGNmlfH3Hi0pl/SR9zjAFShj3i0ph9hZ7enew3F/19HpE4C2/9YUFAQFhZv/yDrOmP78uVLBgwYQN26dYmPj+fMmTNs2rQpqTIiQEREBCtXrqRChQq0bduW169fs3XrVu7fv8+kSZM+2JrfrFAqlfTo0YOAgADmz5/P9u3bKVu2LDNmzEh32lb//v3Zu3cvhw4domXLlrx+/TrptdmzZ1O9enW6detGeHg4BgYGjB07lu3bt3P//v1U23s/YyvTkIUQQuhKtWrV8Pb2xsTEJMMlOBllbbUNbC9dusSOHTuYMWOGzrau++eff2jdujXOzs5Js6AqVqyYpYD2XSULm7ClnyMeoxrSy7EUpSxMUgQXCqCUhQm9HEtxbHRDtvRzlDW1QudMjfSxSefnyqBoKYp2mpjiw6CIDXoFilK000TyV22R7jVsLEwwNdLX9a1/NBQabUvuiRzx7bff4unpSXR0NC9evNBJVeGEhATc3NyYNGkSGo2GWbNmMXjw4GRZxHv37rFy5Up+++03oqKi+Oqrrxg1ahR169b9oHvU6VJoaChz5sxhxYoVFC5cmOnTp9O3b9+kbOr7vL29adu2bVJxisR1xnfu3KFGjRq4uLiwZcsWoqOjKVWqFN27d2fFihUp2lm0aBGzZ88mJCQEMzMzZs6cyQ8//JCj71UIIcSn5dWrV3Ts2JHz58+zbds2vvrqq1SP02g01K5dm/z583Py5MlkffqCBQuYO3cur169SvM6Go2GZs2a8fTpU3x9fdPsQ7V1+/ZtJk+ezI4dOzA2NiYmJgZHR0emT59OixYtcuSZIypWxf2QKOJUagz1lZS2MJVgQHwQ09xvsMXnQYZb/rzr6TZX1G/CKd5/dbrH6SkV9HIsxTQdF0/7mEjG9j8WFBSEWq2mZs2aOvnj7u3tTZ06dRg6dCidOnXi1q1bDB06FD09PTQaDadOnaJjx47Y2dmxYcMGhgwZwr1799i5cydOTk55NqgFKFy4MIsWLSIgIICmTZsyaNAgqlSpgru7e6pTspycnDh79izh4eE4OTnx77//AlC2bFnWrFnDtm3b2Lx5M6ampowYMYLffvstqWryu1QqFXp6ety9e5fo6GjJ2AohhNC5xCr/HTp0oHPnzixfvjzV49LL2lpZWfH69etky3Ded+TIEU6cOMG8efOyFdQ+efKE77//Hnt7e3bt2gW8rZOR3QytNkyN9HEoXpAaNuY4FC8oQa34YHo42mQqqM2MBLWGnnVl+nx6JLD9D0TFqrjxOIyrQa94EJ5A+JvYbE9DfvbsGd999x316tVDqVRy/vx5fvvtN4oWLUpMTAwbNmygRo0aNGrUiFu3bvHLL7/w8OFD5s6dS8mSJXX0znKH0qVLJ629LV68OO3bt8fZ2RkfH58Ux1aoUAFvb28KFSpE/fr1OXfuHADffPMN3333HUOHDk02OJBaxjYhIQF9fX2piCyEECJHGRkZ8fvvvzNmzBhGjhzJ2LFjkyr5vyuttbaJS5HSqkeRkJDA+PHjadCgAW3bts3SPb5+/ZqffvqJ0qVLs3btWtRqNTVq1ODw4cOcP38+RwNaIf5r5SzNaGBXJFMFzax6zNMqW9vArgh2xcyye4sfNQlsP5DAZxFMc7+B80JPKk87QpsVZ+j4yznULcZjPmADR43qM839BoHPMq6G9i6VSsWyZcsoX748+/fvx83NDR8fHxwdHXny5AlTpkzBxsaGvn37Ym1tzdGjR7l+/ToDBw7U2bqZ3KpmzZocO3aMQ4cO8fr1a+rWrUuXLl24fft2suOKFy/O6dOnqVq1Kk2bNsXd3R2AFStWUKJECbp160b+/PkZOHAgK1euJCLif9+jqFgVz+IM0Le046TvbYpYlcDS0vKDvk8hhBCfDqVSycKFC1m2bBlLliyhe/fuKTKwaWVtraysUBgYc/7mQ64GveLG4zCiYlVJr2/dupVr166xYMGCTAef0dHRzJ8/P6ngYlxcHDVr1pSAVnxy5nSsgn4mK3VnRF+pYE5HSZxkRNbY5rDg0Ggm7PHD6/ZL9JSKdKcnJL7ewK4IczpWybCwwenTpxk2bBjXr19n0KBBzJo1CwsLCy5dusSyZcvYuXMnhoaG9OnTh+HDh1O+vG72fMuLEvfKmzRpEs+fP+f7779PURwrJiaGXr16sXv3btzc3Ojfvz9Xr16lbt26fP/994wdOxZbW1vGzVyMQcUmeAY8Jyg0Ovlm3BoNpSxMaWxfjB6ONpSzlJE1IYQQOWPXrl306NEDR0dH9u7di7m5edJr7661/e2PA2zzCcLD/wkPX8ckCzAVgE1hExrYFWbz5AF8XsGGv/76S+t7iI+PZ926dUycOJHQ0FAAatWqxezZs3NsDa0Qud2Oi0G47k57q8jMmt+pilTx1oIEtjlox8UgprrfQKXWZGq+vZ5Sgb5SwXQXB7ql8kP8+PFjxo0bx++//46joyOrVq2iWrVq7Nmzh2XLlnH27FlKly7N8OHD6du3L4UKFdLhu8rb3rx5w7Jly5g7dy4Arq6ujBw5Mil7nZCQwMiRI1m1ahUzZsxg0qRJLF++nFGjRrHhz/0sO/ecV0aW6CkUJKTzq5PZQQohhBAiK86ePYuLiwtWVlYcOnQIG5v/PTds+HM/rrv+IV+ZmhkOrivQoEFBzeL5WNajbob9llqt5o8//uCHH37gyZMnAFSvXp158+ZJQCsEsNIzkEVHb2W7nXEt7GW/ZS1JYJtDdPXDPLZFeYY1Lge8HRVdvnw506ZNI1++fMyfP5927dqxfv16Vq5cSXBwMM7OzowcORIXFxfZSzUdL1++ZNasWaxevZpixYoxc+ZMevfunVRka+7cuUycOJHBgwezYsUKnPv+xEPLeugZGJKZmgAZDVIIIYQQ2XXz5k1at25NbGwsBw8epHr16kmD67Fx8aDU/nkgo35Lo9Fw5MgRhg0bxp07d4C3RaEWLFggAa0Q78lukmuGi4NkajNBAtsckBPTD4qEBzJ8+HACAgIYOnQo33zzDRs3bmTz5s0kJCTwzTffMHLkSKpXr66z634K7ty5w8SJE9m5cyeVK1dmwYIFtGrVCoVCwYYNGxgwYAB1vpvMk6K10Wg02eqw3x2kEEIIIXTp6dOntGnThsDAQPou/oO9dxOy3eb7/Za3tzeDBw/m2rVrADg4OLB48WIJaIVIR04uSxTJSWCrY8Gh0TT7+RSxKjXquDeE++wm9nEAcU9uoY6JxOLLUeSv2izFeVH/ehF+cS/xIQ9RKJQYFC1FAcevMLGrg0Kt4qHbIOpWKUe3bt1wd3fn6NGjWFlZMWTIEAYNGkSxYsX+g3f78bhw4QLjxo3j9OnTNGnShAULFlCrVi0mrPubrf7afR9jHwcQ6XecuMcBxL24D+oESrkeSHaMrJEQQgiRUyIjI2k2aCqPrZx08vwBb/sth3zhDBw4EG9vbwDs7e1ZunSpFIQSIhMCn0WwzScIz1vPCQpJXqNFAdhYmNC4fDF61rWR6sdZJIGtjvVa58O5uyEkqDWoXj/j0Zp+6BUoin4hK2KD/FLtWMIv7efVMTfyla1DPrs6aFTxRPodI/75PYp2nEC+co4UjntB1N/zCQwMpFatWowaNYouXbpgaGj4H73Tj49Go+Hvv//mxx9/5N9//6VTrwH42XQgOuSpVt/H117bCPP+E8NipVHHvUEV+ihFYGukr+TYaGcZgRNCCKFziYPrUS8f82hN/2w/f5jY10saXFeFPcPOzo7ly5cnzWwSQmRNVKyK+yFRxKnUGOorKW1hKvst64AEtjoU+CyC5ktPJ/1fo4pHHROJXn5zYp8E8nTT6FQ7lkduA1Eam2LVe0lSR6GOjebhqm8xtqlKsa8nA1AlaC+uQ97uVSsdSs5RqVRs3LiRGadDUXxWAdRqrb6PCVGvUBiaoDQwIvToL0Rc+TtFYKunVFDP1oIt/Rw/5FsSQgjxCUgcXFfFxens+UOToELxPJBVnSvy5ZdfyvOHECLXkn1sdWibT1CyDZkV+gbo5TdP54y31HHR6JkUStZZKI1MUBoYozB4m5HVU0CtrqOoX7++dCo5TF9fH+d2XVGWcECh1NP6+6hnao7SwCjdYxLUGrxuv+T288ztVyyEEEKkJ/BZBF63X5Kg1uj0+UOhpw+fVcS+TkN5/hBC5GoS2OqQZ8DzTFU8S2RsU4U3dy8Tfmk/qtfPiA8JJuToL6hjoylQ2wWABA143nqu61sWaXh/kEKX9JQKtp4PypG2hRBCfJqy0m9p8/wB0m8JIfIGmcytI5GxKoJCo7N0buFmg1BHh/PqmBuvjrkBoMxXAMvuszAqUTHpuKCQaKJiVTIH/wPI6iCFNhLUGjxvPWcaDjnSvhBCiE9PVvotbZ8/pN8SQuQFkrHVkQchUWQ1DFIYGKFvYY1p5aYU6eCKxZcj0ctfmBe75xD/6nHScRrgfkiUTu5XpC07gxTaShykEEIIIbIrq/2Wts8fIP2WECL3k8BWR+JU6iyf+2LvPBLCnlOk7WhMK3xB/qrNsfxmLpoEFa9PbdHZdYR2sjNIoS0ZpBBCCKErWe23MvP8If2WECK3k8BWRwz1s/aljH/9lJi7l8lXLnmVXL18ZhhZVyL2kb9OriO096EGD2SQQgghhC5kpT/J7PNHVq8jhBAfikRJOlLawpSslBpSR716+w9Nys5Co1ahUSck/V/x/9cROetDDR7IIIUQQghdyEp/kpnnj+xcRwghPhT5C6Ujpkb62BQ2yfR5+ubFQaEk6l8v3t1SWBX+ktiH/hhalk36nI2FiRSO+gCyOkiRGTJIIYQQQley0m9l5vkDpN8SQuR+EiXpUGP7YmzxeZCsKmH45f2oY6JIiAwF4M3tC6giXgJQoFY79EwKkr9qMyJ9j/Js+0RM7J3QxL0h4spBNPGxFKzbGXhbar9x+WIf/k19ghIHKR68U4gjo++j0tgUVdhzIq+fACD26W0AXp/dAYB+wWLkr9wkqT0ZpBBCCKErWem3tH3+SCT9lhAit5O/UDrUw9GGjd73k30u3GcPCeH/2382+tY5uHUOgPwOjVEam1K45VAMipUh0teD16c2A2BoVY4ibX/A2KYy8LbUfs+6Nh/mjYgUgxTafB9Vr58S5rU1WTuJ/zcqWTkpsJVBCiGEELqWlX5Lm+cPkH5LCJE3KDTvzj8R2dZrnQ/n7obodA9UPaWCerYWbOnnmPHBQicCn0XQfOnpHGv/2OiG2BUzy7H2hRBCfFqk3xJCfOpkja2OzelYBX2lbldo6isVzOlYRadtivSVszSjgV0R9HT8vdRTKmhgV0QeDoQQQuiU9FtCiE+dBLY6VrKwCdNdHHTa5gwXB0pmoTCVyB4ZpBBCCJGXSL8lhPiUSWCbA7rVsWFsi/I6aWtcC3u61pG1tf8FGaQQQgiRl0i/JYT4lElgm0OGNS7HvE5VMNJXZnpakJ5SgZG+kvmdqjC0sV0O3aHQhgxSCCGEyEuk3xJCfKqkeFQOCw6NZsIeP7xuv0RPqUi3qFTi6w3sijCnYxUZIc1FdlwMYqr7DVRqTaYKg+kpFegrFcxwcZCHAyGEEB+M9FtCiE+NBLYfSOCzCLb5BOF56zlBIdG8+0VX8HZ/uMbli9Gzro0UaMilZJBCCCFEXiL9lhDiUyKB7X8gKlbF/ZAo4lRqDPWVlLYwlU3P8xAZpBBCCJGXSL8lhPgUSGArRDbIIIUQQoi8RPotIcTHSgJbIYQQQgghhBB5mlRFFkIIIYQQQgiRp0lgK4QQQgghhBAiT5PAVgghhBBCCCFEniaBrRBCCCGEEEKIPE0CWyGEEEIIIYQQeZoEtkIIIYQQQggh8jQJbIUQQgghhBBC5GkS2AohhBBCCCGEyNMksBVCCCGEEEIIkadJYCuEEEIIIYQQIk+TwFYIIYQQQgghRJ4mga0QQgghhBBCiDxNAlshhBBCCCGEEHmaBLZCCCGEEEIIIfI0CWyFEEIIIYQQQuRpEtgKIYQQQgghhMjTJLAVQgghhBBCCJGnSWArhBBCCCGEECJPk8BWCCGEEEIIIUSeJoGtEEIIIYQQQog8TQJbIYQQQgghhBB5mgS2QgghhBBCCCHyNAlshRBCCCGEEELkaRLYCiGEEEIIIYTI0ySwFUIIIYQQQgiRp0lgK4QQQgghhBAiT5PAVgghhBBCCCFEniaBrRBCCCGEEEKIPE0CWyGEEEIIIYQQeZoEtkIIIYQQQggh8jQJbIUQQgghhBBC5GkS2AohhBBCCCGEyNMksBVCCCGEEEIIkadJYCuEEEIIIYQQIk+TwFYIIYQQQgghRJ72fwcKpngzzjRCAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G_MLE = nx.Graph()\n", "G_MLE.add_nodes_from(range(20))\n", "\n", "# add community id as node attribute\n", "for i in range(10):\n", " G_MLE.nodes[i][\"community\"] = 0\n", "for i in range(10, 20):\n", " G_MLE.nodes[i][\"community\"] = 1\n", "\n", "# Create G_MLE and then draw both G and G_MLE\n", "\n", "# YOUR SOLUTION HERE" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.11" } }, "nbformat": 4, "nbformat_minor": 1 }