{ "cells": [ { "cell_type": "markdown", "id": "domestic-remove", "metadata": {}, "source": [ "(GLM-binomial-regression)=\n", "# Binomial regression\n", "\n", ":::{post} February, 2022\n", ":tags: binomial regression, generalized linear model, \n", ":category: beginner\n", ":author: Benjamin T. Vincent\n", ":::" ] }, { "cell_type": "markdown", "id": "72588976-efc3-4adc-bec2-bc5b6ac4b7e1", "metadata": {}, "source": [ "This notebook covers the logic behind [Binomial regression](https://en.wikipedia.org/wiki/Binomial_regression), a specific instance of Generalized Linear Modelling. The example is kept very simple, with a single predictor variable. \n", "\n", "It helps to recap logistic regression to understand when binomial regression is applicable. Logistic regression is useful when your outcome variable is a set of successes or fails, that is, a series of `0`, `1` observations. An example of this kind of outcome variable is \"Did you go for a run today?\" Binomial regression (aka aggregated binomial regression) is useful when you have a certain number of successes out of $n$ trials. So the example would be, \"How many days did you go for a run in the last 7 days?\" \n", "\n", "The observed data are a set of _counts_ of number of successes out of $n$ total trials. Many people might be tempted to reduce this data to a proportion, but this is not necessarily a good idea. For example, proportions are not directly measured, they are often best treated as latent variables to be estimated. Also, a proportion looses information: a proportion of 0.5 could respond to 1 run out of 2 days, or to 4 runs in the last 4 weeks, or many other things, but you have lost that information by paying attention to the proportion alone. \n", "\n", "The appropriate likelihood for binomial regression is the Binomial distribution:\n", "\n", "$$\n", "y_i \\sim \\text{Binomial}(n, p_i)\n", "$$\n", "\n", "where $y_i$ is a count of the number of successes out of $n$ trials, and $p_i$ is the (latent) probability of success. What we want to achieve with Binomial regression is to use a linear model to accurately estimate $p_i$ (i.e. $p_i = \\beta_0 + \\beta_1 \\cdot x_i$). So we could try to do this with a likelihood term like:\n", "\n", "$$\n", "y_i \\sim \\text{Binomial}(n, \\beta_0 + \\beta_1 \\cdot x_i)\n", "$$\n", "\n", "If we did this, we would quickly run into problems when the linear model generates values of $p$ outside the range of $0-1$. This is where the link function comes in:\n", "\n", "$$\n", "g(p_i) = \\beta_0 + \\beta_1 \\cdot x_i\n", "$$\n", "\n", "where $g()$ is a link function. This can be thought of as a transformation that maps proportions in the range $(0, 1)$ to the domain $(-\\infty, +\\infty)$. There are a number of potential functions that could be used, but a common one to use is the [Logit function](https://en.wikipedia.org/wiki/Logit).\n", "\n", "Although what we actually want to do is to rearrange this equation for $p_i$ so that we can enter it into the likelihood function. This results in:\n", "\n", "$$\n", "p_i= g^{-1}(\\beta_0 + \\beta_1 \\cdot x_i)\n", "$$\n", "\n", "where $g^{-1}()$ is the inverse of the link function, in this case the inverse of the Logit function (i.e. the [logistic sigmoid](https://en.wikipedia.org/wiki/Sigmoid_function) function, also known as the expit function). So if we enter this into our likelihood function we end up with:\n", "\n", "$$\n", "y_i \\sim \\text{Binomial}(n, \\text{InverseLogit}(\\beta_0 + \\beta_1 \\cdot x_i))\n", "$$\n", "\n", "This defines our likelihood function. All you need now to get some Bayesian Binomial regression done is priors over the $\\beta$ parameters. The observed data are $y_i$, $n$, and $x_i$." ] }, { "cell_type": "code", "execution_count": 1, "id": "elect-softball", "metadata": { "tags": [] }, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "\n", "from scipy.special import expit" ] }, { "cell_type": "code", "execution_count": 2, "id": "level-balance", "metadata": { "tags": [] }, "outputs": [], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-variat\")\n", "rng = np.random.default_rng(1234)" ] }, { "cell_type": "markdown", "id": "sapphire-yellow", "metadata": {}, "source": [ "## Generate data" ] }, { "cell_type": "code", "execution_count": 3, "id": "aware-frontier", "metadata": {}, "outputs": [], "source": [ "# true params\n", "beta0_true = 0.7\n", "beta1_true = 0.4\n", "# number of yes/no questions\n", "n = 20\n", "\n", "sample_size = 30\n", "x = np.linspace(-10, 20, sample_size)\n", "# Linear model\n", "mu_true = beta0_true + beta1_true * x\n", "# transformation (inverse logit function = expit)\n", "p_true = expit(mu_true)\n", "# Generate data\n", "y = rng.binomial(n, p_true)\n", "# bundle data into dataframe\n", "data = pd.DataFrame({\"x\": x, \"y\": y})" ] }, { "cell_type": "markdown", "id": "imported-company", "metadata": {}, "source": [ "We can see that the underlying data $y$ is count data, out of $n$ total trials." ] }, { "cell_type": "code", "execution_count": 4, "id": "difficult-collaboration", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1223, "width": 1823 } }, "output_type": "display_data" } ], "source": [ "# Plot underlying linear model\n", "fig, ax = plt.subplots(2, 1, figsize=(9, 6), sharex=True)\n", "ax[0].plot(x, mu_true, label=r\"$β_0 + β_1 \\cdot x_i$\")\n", "ax[0].set(xlabel=\"$x$\", ylabel=r\"$β_0 + β_1 \\cdot x_i$\", title=\"Underlying linear model\")\n", "ax[0].legend()\n", "\n", "# Plot GLM\n", "freq = ax[1].twinx() # instantiate a second axes that shares the same x-axis\n", "freq.set_ylabel(\"number of successes\")\n", "freq.scatter(x, y, color=\"k\")\n", "# plot proportion related stuff on ax[1]\n", "ax[1].plot(x, p_true, label=r\"$g^{-1}(β_0 + β_1 \\cdot x_i)$\")\n", "ax[1].set_ylabel(\"proportion successes\", color=\"C0\")\n", "ax[1].tick_params(axis=\"y\", labelcolor=\"C0\")\n", "ax[1].set(xlabel=\"$x$\", title=\"Binomial regression\")\n", "ax[1].legend()\n", "# get y-axes to line up\n", "y_buffer = 1\n", "freq.set(ylim=[-y_buffer, n + y_buffer])\n", "ax[1].set(ylim=[-(y_buffer / n), 1 + (y_buffer / n)])\n", "freq.grid(None)" ] }, { "cell_type": "markdown", "id": "compressed-sarah", "metadata": {}, "source": [ "The top panel shows the (untransformed) linear model. We can see that the linear model is generating values outside the range $0-1$, making clear the need for an inverse link function, $g^{-1}()$ which converts from the domain of $(-\\infty, +\\infty) \\rightarrow (0, 1)$. As we've seen, this is done by the inverse logistic function (aka logistic sigmoid)." ] }, { "cell_type": "markdown", "id": "increased-luxury", "metadata": {}, "source": [ "## Binomial regression model\n", "\n", "Technically, we don't need to supply `coords`, but providing this (a list of observation values) helps when reshaping arrays of data later on. The information in `coords` is used by the `dims` kwarg in the model." ] }, { "cell_type": "code", "execution_count": 6, "id": "alpha-spoke", "metadata": {}, "outputs": [], "source": [ "coords = {\"observation\": data.index.values}\n", "\n", "with pm.Model(coords=coords) as binomial_regression_model:\n", " x = pm.Data(\"x\", data[\"x\"], dims=\"observation\")\n", " # priors\n", " beta0 = pm.Normal(\"beta0\", mu=0, sigma=1)\n", " beta1 = pm.Normal(\"beta1\", mu=0, sigma=1)\n", " # linear model\n", " mu = beta0 + beta1 * x\n", " p = pm.Deterministic(\"p\", pm.math.invlogit(mu), dims=\"observation\")\n", " # likelihood\n", " pm.Binomial(\"y\", n=n, p=p, observed=data[\"y\"], dims=\"observation\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "guided-anderson", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "clusterobservation (30)\n", "\n", "observation (30)\n", "\n", "\n", "\n", "p\n", "\n", "p\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "y\n", "\n", "y\n", "~\n", "Binomial\n", "\n", "\n", "\n", "p->y\n", "\n", "\n", "\n", "\n", "\n", "x\n", "\n", "x\n", "~\n", "Data\n", "\n", "\n", "\n", "x->p\n", "\n", "\n", "\n", "\n", "\n", "beta0\n", "\n", "beta0\n", "~\n", "Normal\n", "\n", "\n", "\n", "beta0->p\n", "\n", "\n", "\n", "\n", "\n", "beta1\n", "\n", "beta1\n", "~\n", "Normal\n", "\n", "\n", "\n", "beta1->p\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(binomial_regression_model)" ] }, { "cell_type": "code", "execution_count": 8, "id": "certified-opening", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta0, beta1]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c33bf9164ea04c20863407e6777b474f", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 2_000 tune and 1_000 draw iterations (8_000 + 4_000 draws total) took 15 seconds.\n"
     ]
    }
   ],
   "source": [
    "with binomial_regression_model:\n",
    "    idata = pm.sample(1000, tune=2000)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "important-treatment",
   "metadata": {},
   "source": [
    "Confirm no inference issues by visual inspection of chain. We've got no warnings about divergences, $\\hat{R}$, or effective sample size. Everything looks good."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "annual-abortion",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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995HiknZZRs4Ni2VNbh22KuhLKnXHgwo+3hKuqSPnKH7tJTIWl/EAAGA4E4sp/vWvKfH331TswgWyD9/z5QjjxOXcukT2105W4tvXjJi0q5/9tZNljj5C8Uu/LufmK0ZN0q5+JuEocdtVMiFvSEg/vELen9eVOSoAAAAAAAAAqB6vrVVe2/C/WUdhd3TK2r4z0o/pS5boFexh+pJl76Nc+pN2ZbtpttyqfbMrgMIETYX9jS5KvUL7qEYCSVRGtc8Z1e4fqFWmLxkpwUR/kkUAlVfpc9lYOnfGNm1W87KVkee75mUrFduU/QGPpdo+8fc2Sb6v9BEHD/tR3eDEW2Feh3HTin+8RakvH6WgpfQJftJz56hn0XwFIzwovJBtnU2u7Z+ZOV1dSxZG/jzKa2tV15KFVU1mUartU061euzb23dWO4SsBo7VaswLAEor6jkmbPliz0Fh+onSRyHn0mzXAPmul1BZ7A8AGJti1Q4AAAAAqDVBECjzi9XKPPNi0W3FLzpH9mGzh/eRSsm9c6mCTZ+Gasc6+CA5N10uE+MSHgAA5Gbtv5+s/fcbtMzUJeRccm6o+v6HHyvY+Il07FHlCK8iTHOjnG9do9S/3iN1ducuHARy731Ezneukz37wMoECAAAAAAAAAAV1H9DWtSnsw/UtPzZguqV4unhsU2b1bBqzYg3TI6GJ5RXI2nXaNguQK0wfcmik1EFTQ0K6uv2tlfsTd5BfZ28ttZI7XhtrXtjKFcf0p5kjoPaGfDaMbr13xSa67xbDpyzgNwKOUeZ7l7mZqAKKnUuHYvnzoZVa4qq23nz4mHLS7U/TBCoccVq9WhPQox8sYQ1UtylkJ47Rz3K/nlEMds6m1zbv/PmxaHfb9XK+4pSb59yKNXYTs86QL1nniK7o7Pgz/4Gct75oKj6vWd9RenP57UgzwNqC9E/Vis9L6B0ui85W15rS6Q65RhLqL4w5xi/uSl0+VKdg3L1U0gfg9pLpkLVGekaoJzXHYiO/QEAYwt3/QMAAAADBJ6n9CM/l/e714tuyz7xGNmnnzS8j5Qr94cPyf/g41DtmBnT5Ny6RMbhyRsAAKC8gkxG6Z+ukDq7lb7vMXkvv6H45efLaptU7dAisya3KnHbVUr9x0+klJu7cDoj986HlPjrm2RNbatMgAAAAAAAADWivb1dL7/8st566y2999572rJli7Zv366+vj4lk0l5nlfW/ufMmaNnny3+piAAww29kbcaiTj6nx5e6JPqY5s25004VmwflVBI0q7eM09R31ePK6i/WrnZFah1+RIDVlvvgnmRki72J2osZx9S9mSOYzF5xHgVNcHCQHZ7h5qefD5Sna6rFilz4P6R6gBjSZhjbWjCxDCsZEp+oUGFUKob0ceifNtmtCWwQXQjnUsLOU8O1X3hmcrMOmDMjY1iE9/a7R0yfcms26V/f1gduzXhzp9Garfz6gsUJAZ8f9+ycpaP+jpyxR2WtX2nJtzzaOjyxnVL/v4n3+sI6utGzZgtRRLmSukf27GPt6h56YrI9bsvPFOZA6YqaGnKXzgE05eUvXNXUW14LY3yp5Tvu6r9Y7WY9zzD5JkXUFpea0tZxwhGn6jnmEqdk0rdT7b2rI7danps5L+vDv2bRCmuO1A67A8AGFtI3AUAAAB8LnDTcu97VP6f1xXdljlwf8UvXyhjzKDl3keblX78aQXvfxSunen7KfHta2V4ygMAAKiAzK9eUrBl+97f/XffV+r//YFiC05V7MyvyMTjVYwuOuvA/eXcfIXcHz4oeXm+ktrbJ/eHDyrx1zfLlOjLKAAAAAAAALVq48aNuv/++7V8+XK99dZbCoZ8eXvo7+VUV8cXklEYz/MGjVXfL+dt6aNPtiQYI9483NGZNQlLKRX69PCGVWvK3ketClqaVLnZGBh/wiQGrLbMzOmhki4WkzQrbB/5jIYkioimkJtMg6aGyP14ba2R6wBjQbmTRzYvXVGWpIr54h7PiRzLsU/H8/YcC4aeSws5Tw41FpN2SSo+cc7nbeTcNpnoDycIEk6kBDGFvI68cecReVwl8zwAs0DFvo5aUcg+LMWxXYxCr6cHzieleA2lOI6DCtwzM3CsjqakcgAwVFCXiPzeY6ycr8cK9gfGM9/3lclk9v5uWZYsEqJiFCNxFwAAACAp6O2Te9cy+R+ES6iVU1ODnJuvkHEGJ7bwO7vl/vuPpXRmhIqDmWlT9iTtaqzuH3MAAMD44G/fqcwzLwxfkc4o84vV8l79k+KXnSf7yDmVD64I9uEHK371xUrf91jessGOXUrd9ZASf3G9zMCnJQIAAAAAAIwR77zzjv7H//gfWr58uYIgyJuga+hDakqtkgnCMPbs2LFj0Bd6MZhflxhxXTVuSivk6eGmLxnpxhOeUA4giiiJAatppKSL/YKmhqLnvYF9xDZ+qqYnny+4rbGWRBHRBPV18tpaQ5+/vbZWztsYlyqVPLLUSRXDxD1eEzmWa5+O1+05VkU9Tw41ls+bpUh4ZyVTGimle9TPF/rZHZ17/581gVfSVXzjJ/v66eyO3EeuuMOIOq4sN11EbyMbuK36leK9SjFGeg+VS7bXkUstHJeFzC1D4y6kDWvHLmnAgxRKcRwHFfjOZrHHXKg+hmybah8LAMamQubuoec55qfqKvScZG3fuff/7EOMVt3d3eru3vf+qaGhQRMnTqxeQECRSNwFAACAcS/Y1anUHQ8q2LKt+MYsS86Nl8tqnTBsVfrxZ8In7dpvshLfuVamuan4mAAAAPIIgkDpn63Mea0SbN8p944HZX1prpyLz5HJcr1Tq2LHfVHq7N5zPZZH8NFmufc9Jufmb8jw1A4AAAAAADBG+L6v//k//6f+8R//Uel0elDCrHIn5wJQ+4KmyjxMKurTw6PeXFlIH6XmNzep+6Kz8pYBUF2F3rhfTZVIuth/w18xSKKI3gXzQiev6V0wr8zRALWp0skjS5VUMUrc4y2RY7n36XjbnmNZlPNktrpjVTGJY/s1L10hr61VvQvm7U10F9u0WQ2r1hR87d+0/Nm9/+/43q3D1ltd3Wp64rnCAv5ctrijijKu6n/7h4L6yGfgthqo2NdWiGL3exS1clxGnVuyxR21DXtruxpXrJYZZQ/nKMUxl0+2bVONYwHA2Bd17s52vmZ+qp5Cz0kT7nl00O/sQwCoPu48AwAAwLjmb92u1L/eU5qkXZLil5wje86sYcszr/xJ/h/+HKoNM2WSEn9xnUxLc0liAgAAyMf7w5/lr/sgVFn/jbVK/j//pfTzaxR43qB1QRDI79hdjhCLFpt/imJnhvuijP/WOqWXPz3oBlYAAAAAAIDRqqurS+edd57+7//7/5brugqCQMaYvT/Sns91KvkDoHDlSDZTikQtYdgdnbK279z7Y/qSg9abvuSg9UOf/l5IH9l+hvZbUnWO0kccnPNHdU75+gcwzNC5xdq+U7GNn1Y7LEmVS5wYRSliKiTxIsaOzMzp6lqyMOe1hdfWqq4lC7mhEONSNZJH9idVLEbUuEvR52hRiX06nrbnWBfmPDkU583w7PYONS9bqdimzYpt2qzmZStHRcLegXEXopBxVSnFvraoKrXfa+24DDsGcsUdtg37062Kv/uBZFlKHzqzqLirpdzjMj13jnoWzVcw4KEplT4WRrPAGLmHzap2GMCoUIprAOan6irF9mcfAkD1xaodAAAAAFAt/sZPlLpzqdTTV5L27JO+JPvUE4f3s32H0o/8PFQbZvJEOd+5TmZCS0liAgAAyCfoSyr9+DPRKrlpZZ5cJe+VNxS/7HzZh85SkEwp/fAKees+UN3f3ybTOqE8ARchtuhMBZ1d8l59M29Z78VXZCZNVPyMr1QgMgAAAAAAgPJIJpM677zz9Lvf/W5vwq5+/Qm0BibwGrpuqKHlwtTJVTdXewAGi23arIZVa8p242HUJ7MXYqSnubuHz5az7sOSvLZsfWTDE8iBsa/c82axvLZWBfV11Q5jmP5kjsVst3yJF4Omhpp87SidzMzp6rx5sUxfclgiN/b/+JBt3xci13jJN75qdfxV67wU2/jpoJu5o26LQuK22zuUOXD/yPVGm0olrDTdvVUfvyiNXOfJoWph3hqNGlatqVrfgaTUl+cqM2OaGp/6laJ8+tmwao06b15cUL+5xlXTY8/K3hU9OXopFfPaovZTbl1XLarJ81u+uSXMfDJSG1bHbjUvXyVJqn/1z9Kr4R5oXy5+a4t233TZsOV2R2fozwal8o7L9Nw56pHUuGK1zIC/nVTqWBitAmPUs2i+ZFly1m+sdjjAqNA/d8c+3qLmpSsKbof5qThDz03VOCexDwGgekjcBQAAgHHJW/ue3B//THLTJWnPzDxA8cvPH35Tg+fJve8xKeXmb6SpQc53rpNVg0kuAADAGFaXUPyis5Ve/ozUE+3LhMGW7XL/815ZRx0m/7Pt0o49X9R0f/KInL+8XiZWWx8/GstSfMkFCnZ3yV//Yd7ymSeeldU6QfaxR1UgOgAAAAAAgNK75ZZbtGbNmkHJuQYm7OqXL+lWvnJDk39lKxe2DwDDxTZtLntSrf4ns1c6yY3d3qH6KiQv6H8CedeShSTvAsagSsybxepdMK/aIYyo2GSOYW5KI4Hi+BDU15FsZJwpR9LEofNFsX1Ua/6pdkLJpiefH7YszLYoJu7mpSv29uHtN6ngJCLYY2hiTLbd6Md5snyqNdcGxih17JHqO/ure37/1e8jJfez2ztk+pJFjYuh48r0JauetEsqzWvLx/QlK7Lv/bpE2fsoRinmlpqfn2Ix+VMmFd1MScZl0lV84yfZ11mW0ofOHJSAqhLHwqhlWepZNF/puXMUf/eDakcDjDrFnp+Yn4pU5LmpFNuffQgA1VNbd84BAAAAFZB59U2llz4h+X5pGmxuVOLG/z97fx4uRXngjd/fu6q7us85fTY4yC6LIIo77uKGCBoFVBYNIhiFRKOZMTPvk8nM9Xv+mJnkfX555p2ZbJNoEjUuIO4LoFEBcQkumKBGRVEUjmwiB85+eq2q949DH3qp7lq6qrfz/VyXl5zqqvu+u7q6qrqq7u99PYTfn13X85ugf7XPvAxZhvLDWyENbTafl4iIiMhFQgj4zj4N8tTJiD+3Hurb79kuQ/v4s/S/d+1B/NmXoSy8yq1mukb4fFCW34DoL+6Hvv8b0/ljDz8NpbEe8sRji9A6IiIiIiIiIiL3PP7441i1alVWYBeAtGnBYBAzZ87EKaecguHDhyORSOBHP/oRhBDQdT3t//fffz90XUdHRwfa29vR3t6Ojz76CFu2bEFfX99A2ZkhXkIIzJgxA0uXLs1qZ2MjB7UhMlO7fnNR6kmOzC7CEVsdSwH7o4eXC45ATlSdirXfdKISAquKEebIAEWi6uNVaGLq/gJAwXWUYv9TroGSZuvCjXYn68inEo6N5cDo9xbXHVFp6aHatL+FriO4dRuCW7c5LtO3ay/ik8cBDgfMzLymU6oQMyOip8/b4C6b17KcyvzcB4NivedC63GyfKHbpdA1hJ7dUNQ6q5U2tAna0Ka88wzG7x+RVW58P7h/co8XxyTpUAfkA20FlUFUrlRVRSQSGfhbkiQoilLCFhHZw+AuIiIiIhpUEq+9jfhTL7pXoCRBufV6iObsDgW6pkHbs9+8DFmGcucyyMe0uNcuIiIiIptEXS38354Lbd8Ba8GjJtTXtyBx7Gj4zjnNhda5S9QEody+BNH/vhfo7M4/c0JF7PerEfjH5ZB4vkZEREREREREFSIWi+HHP/7xwN/J0K7UwK4hQ4bgJz/5Cb7zne+gpqZmYN7W1lb86Ec/Miz35ptvNpyuqiree+89PPjgg3jwwQfR09MzUFcy+GvTpk1obm7Gvffey7AuIhtEOFL0TpZ6TXDQPNifbwRy2wFmkmTauYyIvOfWfrPnmplQW4wH4HMSVthzzUwkxo+umP1rrjBHt4MaGaBIVD28Dk10u/xi7n/KOVASyL0uitVuhjk6x3VHg0XyvNzoPN/onL1Y11H0miDUlmZX6ws9txGdyxdCGzbE1nK+1n2eBu+6QYpE4dKw69llHzwMub3Lo9KPUluaK+Y3nZu82NYzubFunbSz0O2yGOuG+g3W7x+RVW7sj5LHUrvnIdUu616RhXtBTj6P5PrXAwr0hlD2DJqGurWb8pbh5fkWkZei0Sii0ejA336/H8OGDSthi4jsYXAXEREREQ0Kuq4j8cImJF563dVy/Qu+Bfm4cYavCUmCcvsSJDa9hcTajYBmfOlDuWUR5EnGZRAREREVk5Ak+KafhfhXa1wpL/7oGkijjoE0ZqQr5blJam5E4PYliP7ifiAayz9zXxixu1ch8I/LIeoNboQREREREREREZWZlStXorW1dSA0C0Dav88991ysW7cOQ4cOdaU+WZZx1lln4ayzzsL/+T//B7/61a/wk5/8BPF4PK3up59+Gp999hlefPFFjBxZfteMiMqRreCoFG6Mrl7O9bkpcwRyJ51ddSHQO3cGg7uIyoDT/WYmt0O2KrWDqddhjvkCFImochQjbNbt8ou1/3GybvKFRybpodqBtvt270f9qrWO22i0LkoRIDyYwxz7ZpyH2k1vO15+MK87Ghz6Zk0HANSvXpc2XRcC4QvOQHzqpLTpUnsnQk9lh816sV/rmzU9q13F5mvdV/I2WFG/ai3Ulmb0zZruethg431PulpeLsltcTDyelt3a93abacb22U57AcGg8H8/SOyqtD9UTKsv/2fv+dWkyparntF6pBGxE48Lm1adNpJ0Otq0qbZ/TyS6z82ZQJ6r5tlOI84cq8/Fy/Pt4iIKDep1A0gIiIiIvKarmmIP/6866Fd8vnTIF94Vt55hCTBP3N6f8iDQeK8fOFZkE89wdV2ERERERXCd/40+Odf6U5hCRXR3zwErbvHnfJcJo0eAeXW6wFJmM6rH2pH9PerocdMQr6IiIiIiIiIiMrAPffck/Z3MjhLCIFzzz0X69evdy20K1N9fT3+n//n/8GWLVswderUrOCwDz/8EBdffDEOHTrkSf1ElUaEI5AOHs75X3KEbTtKEQ6THD28EsntXQPr2//Bp6hfvc5maBfQd8WFWR2FiYrJbF+S/E+EI6VuquekSNR8JhNm+1EnYYWVHHCYyov34VbYGhGVTqV+j4vRbid1JMaPhjZsSN7/Uo9TbpyHZ7azFJ9pMkBsMNIa6gpafjCvO6puakszuhfPQWLcKCTGjUL34jlp+zyh66hbuwn+bTvSltOaG9G1YlHaf+ELzoAuzJ8Rs8uoXcVWu35zwWWoLc3ou+w8z9+H3NaO+tXr4Gvd52k9bkvdFgcrr7Z1t9etk3YWul2Ww36gmvH7R2Qd90fuSQajGt0rkg93ombz1rT/RF84a75SfR6Ver5FRFTJfKVuABERERGRl/R4AvGVz0B972NXyxXjx8C/8CoIizfwpGNHI/Cj2xB/6k9Q33m/v4wRw+C/9gpX20VERETkBt+l50GPxpB4/pXCC+sNI/qTX0P5/k2QJ4wtvDyXySdOgv+GuYivXmM6r966F7EHn4Ky/AYIiWMiEBEREREREVF52r17N/7yl7+khXUlBYNBPPzwwwiFQp6349RTT8WWLVswb948bNy4EUKIgTZ98cUXuO6667Bp0ybIsux5W4jKUa6Rut3QN2u662VarbeQ0dxLJTmKuVNCB+pefAPBzVsRO3UK1JRBveLjxwBBpdAmEuXkZF+itjSjb9b0quvw6OZ+1Ww/mgwrtFpXKQIVvWL3vVsht7VDD9VWzToiGgxEOJIW7OQkbLYcZO5/Mt+XK3XYXDdOjhlu7JulSBRaxt+l4Nu111an5lIcP7zY/tURLQWXIXr6eCylitW5fGHWNKPvd2LcKHStWJS9v7bwHJc6vAVdty7IWUchx4Bc7RK9fdAb66E1NwIAfLv3o37VWkd15CLCkYLPzbuXzEVi7EgAQPScUw3Xhdm6ktu7bF1fqV2/GV0rFhXUbid65s+G2txgaxn+VjkqdVv37dqL0HMbbS3fc83MtOO8V+s22U6737lCtst8+ydtaJOjMgez+Pgx6Fy+kN8/Igdy7Y/sHqsHOzeCUQHnxyQ3lOp8i4hoMGJwFxERERFVLT0aRezex6Bt/9LdghtCCCy/HsLffzqtHWqHuuUD+K68JG+QlwgGoCy5FokTjkP86RehfGchhOJ3t21ERERELvHNvgiIx5F4+Y2jE/0+QNeBhGqvsEgUsZ/fB/n8afDPmQlRX9hIoW7znT8N+uEOJF563XRe7cPtiD/9IvwLvmU5xJWIiIiIiIiIqJhefPHFrGnJAK8f//jHmDRpUtHaUlNTgzVr1uDCCy/E+++/DwAD4V2bN2/Gf/3Xf+Gf/umfitYeonKRHKnbbaUO40mOHu5VIFm5k7t7UbN5a9q0zuULoQWH5FiCqDBO9yVyWzvqV69D9+I5VRPe5dZ+1c5+1E5YYakCFb3idlBjsrN3qY9jRGTOy/DZUrAbNlEMTo8Zhe6b61ethdrSjNiUCVC27yzZZ+zkMynW8cOr7V9taYbW3Fhw+FpmgBiDLqhURFcPaje+lXeevpnnQ284OrCANsze72a9Jmh7+zYLznFSpmkZGe/LTjChVUZhY7HjxyM2tf8acM3r70I+3Jm3DC0YSPvbbF24sa7ktnaIcKTo+ym1ucH29kbZkqGhdqktzUVd/5nbthk3tks3vh8EIKjwmipRgbg/cs6NYNRMdo9JbijV+RYR0WDE4C4iIiIiqkp6Ty+iv3sEeutedwuWJSi3Xg/R2D/SinbgIKL/8xDQ2Q3E4vDNu9w0wMF35imQTzmBoV1ERERU1oQQ8F19GZBQkXjlTaCuBoE7lgG1QcSffhHah9ttl6m+tRXqB9vgv/oyyNPPgrAw2mGx+K6aAf1wB9R3/2Y6r/r6FkhDm+GbcX4RWkZEREREREREZM+777478O/U+1Y+nw+33XZb0dtTU1ODxx57DKeffjrC4fBAu3Rdx7//+79j6dKlGDlyZNHbRZWnu7s77W9N00rUksK5NVJ3Us81M5EYP7osHr53ezT3nvmzoTY3DPyd2vk8sw4jpR5FXg/Vlqxuqn6F7ktq129G14pFLrWmtOyui8x9C2A/3MJKWGG1BlF5FdRYjaFyRNXEq/BZ6lfoMcONfbPc1o6aCgxlK8bxw8vtPxnWVmj4mtHvnmo9F6HyJqIxKNt35p0nfOGZ0IvUnnKSDDty8xxaikSzpvk/b0XshIkAYBra5RYn1z9ET1/Rr2XxOo17nKzLYq//XPXFpkzIvVA8AdR41CCLjK55MpCTiArFY6B1ZvedjJitXzfWf6WcbxG5QdO0tGcDhBAIhUJ5liAqLQZ3EREREVHV0do7Efvtw9APtFlbQAhAt3b7z7/wKsgTj+2vZ89+RH/7MHDkgkxi42YgqMB/xSXmVTK0i4iIiCqAEAK+a2YBih/y6VMhjRoOAAh8dzHUjz9D/MkXoB/qsFdoXwTxJ15A4q2t8C+6GvKEse433AEhBPyL50Hv7Ib2Wf6HxwAg/uxLEE0NkM84qQitIyIiIiIiIiKy7oMPPkj7W9d1CCEwe/ZsDB8+vCRtmjRpEv7xH/8RP/3pT9PCxMLhMH7zm9/gpz/9aUnaRZUlM7irUnkxUrfa0lx2D967NZq72twAbdgQT+vwSjl+LlQ93NiXyG3tEOFIxW+nTtZFvn2LHbnCCoHq71Sb772nchKgWE2hckTVpNDASKPQxBgqUJsAAQAASURBVFSlDlwtpe4lc5EYW3igtdshumZS2+3bvR/1q9a6XocdXh4/3A5fBrJDtbwIxmQoJlH5KTSkL8nXui/n/kLoOkJrXhn4Ozx9GtQ8v3+0+sI7wDsJJZMiUSRj+c1+V+gBBXpDYe3kdRp32f3MS7H+jdqoC4HYlAmIT51U1LZkEl09ENHYwN96qBbyN4cthYOrxwxx5RqEdPBwwWWkGozXRogqiVsBopn7L9vtKNf9QiQGqbsHAOxfa7ZwjHNj/TspQ27vSi+jXNc/UQZVVRncRRWFwV1EREREVFW0Awf7Q7syLizkJMuAJPpHxjCbdfqZ8E0/CwCg7tyN2D2rgHAkbZ7E85sgFAW+GefbbjsRERFRORJCwH/VjKzp8knHQ5o8AYn1byCxYTOgqrbK1fd8jdjP74N8zmnwz5sFUeCDNW4QPh+U5Tcg+ov7oe//Jv/MOhB7+GkojfUDwa5EREREREREROVg165daeFYSdOnTy+4bE3TIEmSo2V/+MMf4j/+4z8Qj8cB9F930nUdf/jDH/CTn/zEsM1EXjLrEJiU+hC7G52P3A7tSrah3DltY6HvrZTrpm9W4ftdolys7L+sllPpHXWcrAu39w3lHiToJS/ee7WEyhFVEzcCI90KTaxGWjDgannFOi6lttvt9+CEV8cPN7b/nmtmQm1pHvg71+9Ir8LXGIpJVD7cCOnzte6zFf4VO2FiUY7BdkPJ7AQ+xqZMQO91s5w0awCv07jPzmdeqvWf2Uah66hbuwm9QEnDu2o3vgVlu/kAs6mSgZy5ZIaCmmm878mCywDyBwk6LZOIvOFGgKiT/Vemctwv+HftQejZDY6WtXqMc2P92y3D6HdkOa5/IqJKx+AuIiIiIqoa2ld7Eb17FdBr8YG8gALUBgELIV/ShLHwL/gWAED97EvEfr8aiMUN540/8xIQDMB3/jTLbSciIiKqRELxw3/1ZZDPPg3xx9ZC+3yX7TLULR9A/fBT+K+aAfnCsyFk2f2G2iBqglBuX4Lof98LdHbnnzmhIvaH1Qj8w3JIx7QUp4FERERERERERHnE43G0tbUZvnbWWWcVXH4ikYCiKI6WHTJkCK688kqsWbMmLaSrra0NW7Zswbnnnltw+4isMOtI5ISVh9y9qDdZdyUEmzgZCdyN9+bWKPJ29V1+Pjs9kKuMwhvcIEWi0HLUAZiHE1oNQXRbarukSNTWspWy36wWTkPS5LZ2JMaOBGBtO7MbpElE9rixrzfbH1RCGK1XvH7vXpWfWm65fH5ehJK6sf0nxo+21S63w9cYiklUXnKF9CVpzQ15l69dv9mrphXEjVAyLzCcwjtWPvNSr3+jNpZLeJfbksFe3YvnOF7fdsuwEiToRruIyB3lcqyulv2C3WOcG+vfjTKqZf0TEZUTBncRERERUVVQt3+J2L2PAtGYtQVCtRDDh0H/otV83sZ6KLdeD+HzQf1oO2L3Pw4k1LyLxB9dAyh++M48xVp7iIiIiCqYdMxQKD+4GYmNm5FY42C0mXAU8adeROKtrfAvvArypPGut9EOqbkRgdtuRPSXfzQ/v+wNI3b3KgT+cQVEfV1xGkhERERERERElENPTw90XYcQYuD/Sccdd5ylMiRJylv+kCFDHLdvxowZWLNmTdb0DRs2MLiLisJKRyInzB5y96pewPpI3uXA7kjgbr03N0Yxt6t2w1sIvP8pO4ZSwbwK/UuqX7XWdB6jDkhet8tLlbTfrAZOAxStbJuZSt0hnHJj+FplE+FIwft7K6GJpQpcLbViBEp6sW4z210un59RuGm+/YuV/VOhgamuBBK7EIzm27UXaktzVrlW2+Yk5NVKGZl4PKDBxElInxvHZS8lQ8l8u/c7Oqd3qnP5QsPp3Kd4L18QXbms/5xtzHMvpJLVrt+MrhWLilKGnSDBrDIjMfh37cm7THz8GCDobDAZIjJmFiBaTG7sr0qle8ncgUEH7LCy/vVA/v2eW+dblbz+iYjKDYO7iIiIiKjiqe9vQ+zBpwA1f5hWkhjSCOnkKVBf32I+sywjsPwGiMZ6JLa8j/gjzwGabr6cDqhvvwd52slpHSKIiIiIqpUQAv7LLwSCASQef95RGfq+bxD71QOQzzoF/mtmQzTWu9xK66QxI6Hcej1iv1tlev6nH2pH9A+rEfjBzRCKv0gtJCIiIiIiIiLKFg6Hc77W2NhoqQxFyf0wcHd3d0HBXSeddJLh9A8//NBxmUR22OlI5LR8o4fcvai3EsNJrI4E7vZ7G6j3pTcgH+50pUwrOGo5FcrL0D87MrflcmmXXZW436wWxQpQ5H63/NgN+eP3tLy4GdJoNTSxFIGrpVasQEm3161Ru8vh8ws9/bLh9Mz9SzFDSN34jN0IRgs9t9Fwutm+12xdWdl383hA5IzoDSOw9eO0aU72A26E/9mlBQPFrW+Y82vW5A4nQXTFVgltdIPc1g4RjhT0Xq2UYTdIMLNMqbsHoWfzDxTcuXwhtCC/30ReKId9ohv7q1Ip9FzHjfVfaBsqef0TEZUbBncRERERUUVLvPlXxB9bB+gWwrQAiJHD4Lv0fMRXZ4/kbcR//dWQxo9B/JU3kXjW+Ia+EWnqZCi3Xs/QLiIiIhp0/BeeDX3v11A3/9VxGepfPoT64Xb4vnUpfJecCyHLLrbQOvnESfDfMNfSuaO+aw9iDz8N5ZZFEFU6EhsRERERERERlT8pz3UJq8FdgUDuh3y/+eYbjBs3zna7kkaNyu5wqes6tm/f7rhMIqvsdiRywughdyf19lwzE2pLc87X9VBtxT5IbzaauFfvLTFuFHqum4XG+54sqJyum+ZB6ovkDAQwwlHLyalCQ//6ZpyH2k1vu9Sao9uy1yGIXuheMheJsSNL3YxBy2pwo1u43y0PTkL+GL5WPtwKabQbvlPs/UUpFTuYyK11m6/dVupQW5oRmzIByvadRf2MU/cvAIoSMOb2Z+xVMFq+fa+VfYHZvpvHg8FHikRL3YSqIfrCqNm8taAy1JbmklxDchIWpg5tGrgepmzf6XaTiExJBw+bXjvsuWYmEuNHO/5eiXAE8p6vPd/GRU8fEE9ARGOGr0sdXaZlyLv3Q2vOvq+k19ZAr6sxvLZrpV0DwV08XhARAN+uvQXtV90gHeqAsm1Hyep3yo1w1tT9MhXG6L5nJd/PLTe6rqO9Pf06UmNjY97nY4iKicFdRERERFSRdF1HYv2fkVhnPAKUEWn8GPiuuwKx3z5saX75wrMhn3cG4mvWI7HB+kOH8ulT4V82H8LH020iIiIanPzzvwVtz9fQW/c6LyQaQ+LZl6G+/R78C6+CfPwE9xpog+/8adAPdyDx0uum82offIL4sy9DmX9lEVpGRERERERERJStoaEh52uxWAw1NTWWykgOTpM5SM2+ffsKal8wmP5gqhACuq7j66+/LqhcIiucdCRyWk9acJeDekvdSaEYzEYTTz7grgcU6A2hnK/bIbebd0jLR21phjpmBPSDh+3Vy1HLyQE3wga1hjqXWtNPbmuH1N5ZkUEqWjB3MCkVR2pwo2/XXoSes/7Ml13c75aHQkL+GL5Wek4+v575s6E2H/1N6rRzolnQa6rUOsw6SDrd/2S+LzeUquNmct36du9H/aq1tpe3EoSZ7/NLfd+Ri86yfU4vt3fZCtA14lUAqVvbfz5eB9sZ7XvtrK9c+24eDwYPX+u+QRG8WGn6Zk0vSb16TRBqS7Ot7aHn2suhDRsC/7Yd8H+2C8LiwO5ExZQ8l7Qb0FnsfaR8qAPKJ18UFBBW//R6w+nh6dMQOftUR+9FikQh8XhBRCmc7lddpWlQPttV/HoLFU9AbWqAbCGMMRepvdP02ko+ue7hDSZmx/hibttehIeVUyBZOBxO+zvfszFExcYkASIiIiKqOLqmIf7sy1BftT4qqHTiJPhvnIfYrx8EcowakTb/xGPhu2YW4qvXQH37Pcv1yOeeDv+350LIsuVliIiIiKqN8Psgn3Q8EoUEdx2hf30Qsf95EPK0k+C/ZjaEwQheXvNdNQP64Q6o7/7NdF711beRGNoE3yXnFaFlRERERERERETpamtrIcsyNE3LCt3q6OiwFNwlSRKamprQ0dGR9drOnYWNAt/d3W04vaenp6ByiayQItGi1JMZDmU3LEptaR7UQSOZD7jHpkxA73Wzcr5eTMnOrk5GMZfb2k1DDohSuRE2qI5ocaEl6eSv21wvsxicfG/JG3pNEInxoz2vJzNIk4qr0PBBhq+VltPPT21ugDZsiGvtMAt6tTt/MkDELrffVzlwGmhpZzkrn5/dz9gNXv2OKNZ2kisYTW5rLzgUM3Pfa3dfYLTv5vFg8PC17kP96nWlbgalKGn4xRF9s6ZnbRe6EOidOwPxqZMMl/Fv24G6tZsY2kVlT25rR/3qdehePMf0e1aKfaT8zSFPy/fv2uPo3MNJeCwRDQ529qvUr3bjWwWFdgG5QxqtyryHN9hYOcYXY9v2IjysnALJiCoBg7uIiIiIqKLoqor4I89ZCk1Iks88Gb7F1yD+x8ehW7kA3VgP/9L5iD/8NLS/fWq9ccEA5AvPZmgXERERDXqJN7Yg8cImV8tUt34M9aPP4LvyEvguPQ/CV7xLm0II+BfPg97ZDe0z886p8adfhGhuhHzqiUVoHRERERERERFRusbGRrS3Zz9A2dnZiZEjrYXGjB07Fu3t7VnhXx9++GFBbTt48KDh9Gi0OIFKNDgVO+gp9PTLBS2fDIcajMwecC9VR+DMh8+ToQ92tqn6VWv5EPsgZneUesB+6F8mtaUZWnOj7W3VjNTV61pZxTLYAxHLkZP9qF1WvkN6qJbbhgVG+zCzdedG+CBDL0vH6edXCSGJTtpYCe/LLqfvqdTrotT151PstmWGnrlVf2rwpZN9QWZwphvHA4ZxVoba9ZtL3QRK0b1kblmcRyXGjUL34jlp1+WErqNu7Sb0AlnhXQztokpUu34zulYsMp2n2GInHoeaP/+16PUSERXKyn6VqFzYOcZ7tW17ER5WLoFkRJWEwV1EREREVDH0WByxPz4B7ePPLC8jX3wO/POvROJPr0L7+HPzBXwylKXzEV/1DLQdrfYaGIki9ov74b92NuSLz8nqyEBEREQ0GCTeeBfxJ17wpvBYHIk1G6C+/R78C6+CfMJx3tRjQPh8UG69HtFf3g99v3EH0wE6EHvwKQT+/juQxo0pTgOJiIiIiIiIiI6YNGkStmzZknWvqq2tzXIZkydPxt/+lj6Qjq7rePvttwtq21//atxRpLGxsaByiXIpVdCTEwx1Mn/AvRid3Hrmz4ba3DDwd65gkr5Z021vW3yIffApdnBgqmQIoJNtNZ/aTYWdC5TCYA5ELGdub5uZrAZp8vibm9k+zOt153bopZUQxczjvpPQsnLgJDAy9X1JEfvBypUSkmg3OLBS3pddTgIUy2FdFCP40YlqWjepwZdOgmQzlyk0jBbo3ydpBZdCXhLhSNl9Lwc7LRgodRMGJMaNQteKRdnnJ5KUNa86vAVdty4wLEcPKF41kaggcls7RDiS81ygmPtIXQjEjxsL/xe7i1IfEQ1OfTPPR/jCMy3NK7e1I/TcRlvlm+1XLYnE4N+1J+8s8fFjgCDPL8g5u8d4V7ZtA16Eh5VDIBlRpWFwFxERERFVBL0vjNgfVkP74ivLy/i+dSl8V14C7W+fIPHS69aWmXc54s+8BH3v184aqqqIP/UniGFDIE+d7KwMIiIiogqlfvgp4k8873k9+jeHEPvtw5BOOxH+666ANKTJ8zoBQNTWQLltCaL/fS/Q1ZN/5ngC0d89gsA/roDUMqQo7SMiIiIiIiIiAoATTjgBW7ZsyZr+0Ucf4cILL7RUxsknn4ynnnoKQH9glxACuq7j008/xd69ezF69GhHbduwYYPh9JaWFkflEZmxG/TUN+O8koTSdC+Zi8TYkUWvt5yYPeBerE5uanMDtGHm13QT40ahe/EcR6FMfIh9cChVcGBmyE0h22qlYyBTeSuXbZOhisas7MOKse7cqMNuiKLa0ozYlAlQtu8sWWiZU+UQGFkJ7AQHVtL7sstugGK5rAuvgx+dqKZ1YzX40qvljbgd5EguSCQgpYa8OTju6KFaN1tUtZyup3Jcv3pN0DSkQBvaVJzGEOXg9LsjevpyB3fZDNQthNB1QJYhdB2hNRshwvYDectNOe7PiAY7vSEE3eq8HuxXrZC6exB61viedFLn8oXQgv33gpy0k/sncnKML3TbzirPg/CwcgkkI6o0DO4iIiIiorKnd/cg+tuV1sO0BOBfeDV8F50Nbf83iD38jKXFpLNPg/rGu9APHi6gtYA87WRIJ04qqAwiIiKiSiRNOQ7SlInQtn9ZlPq0Dz5BdNvn8M2+GL7LLoDwe3+5UxrShMBtNyL6yz8CsXj+mXv6ELtnFQL/sByijjfoiIiIiIiIiKg4TjjhBMPpH3zwgeUyzj333JyvrVy5Ej/+8Y9tt2v79u145ZVXIIQYmJYMBTvmmGNsl0dkxknQk9ZQ51FrTOoNBkpSr1tEOGL6gLoeqs3/ILjJ8oF3P3TUNrvsdLZIjBuFrhWL4Nu9H/Wr1lpejg+xDw52gwOd6Jk/G2pzw8Dfub5nTrdVt9pVKLm9y3YIBAMRK0Oxt818GKqYzs4+rBjrzmkdTkIU5bZ21JicQ5Zj4Fu5BEZWAivBgZX4vuyyGqBYbuuiXIIfAa6bYirH/e5gJrV3ofG+Jx0vr7Y08/ewRXpNEGpLs63vNNcvkXNOvnNA/3WLnK8V+ZisbN/ZX+9B+/WqjSHA78+aXqrzilLtz4yudZtd2yYiY073q6ms3H/KlG+/bMRuO73YPxm9TyuDzFQCyaCfbup+dTDtd6VIFJqL5Tn5bvl27YXa0pw2LXV9e1GmV59xW1tb2rMnTU1NUBSloDKJnGJwFxERERGVNe1wB2K/fRj6N4esLSBL8C+dD9+0k6H3hRG791HzQAUAYuxIaJ9+AXT3FNReMWwI/DfMSfvRR0RERDRYCMUP5buLEfvD6qKFdyGeQOL5V6B3dkG5fk5RqpTGjoJyyyLE/rAa0PKPG6R/cwixex+FcsdSCIOHGoiIiIiIiIiI3Hb66acbTn///fctlzF9+nT4/X4kEomB+15CCOi6jl/84he47bbb0NTUZKtd//AP/zAQ1JX8f9LZZ59tqywiK5yMdKyOaPGgJeYqdWRuX+s+W53CnXZs92/bgZo333PSRFucdrbIfBjdCrdH1aby4iQ40Am1ucFW551ihQTabZcXKj0QcbAph8+LoYpH2d2HFWPdOa3D6xDFcgp8K0ZgZKqea2YiMX50xX5nksGBg6lzqJF86wEo33WRr91OAj8zWQkhHazrptTKab9LzvXNml7qJlSUvlnTbYVzcv0SFcbudw5AxR9fk+TOnqzrt/5tO1C3dhOEnv85WS8Ue39mdq273EJbiSqFk/0qYP/+U6HstNPN/VO+99n+z99zrZ5SyhX6qzaEAAByl3Ff3mrc79avWuvK+yrk+xF6bqPjet0us9B1oapq2t+a5mYsGpE9DO4iIiIiorKmH2iDbvVHpOKHsvwGyCdOgq5piD34FHSDVO4s9bX980WihTVWlqF8ZyFEGd6MJyIiIioW0/Aunwwk1OzphfD74JtZ3Jv08knHw7/oasQfM79Jp33xFeKrnoN/2XwISSpC64iIiIiIiIhoMLvwwgshy/LAg4nJoKwPPvgAvb29qKurMy2jvr4el156KdavX58VtPXNN9/gxhtvxAsvvGC5Tf/6r/+KF198caCsTJdeeqnlsoiskmze/1VbmqE1NxY8+rddXozMXQy+1n22O1vIbe2oX70O3Yvn5HwIWxcirSOYsn0n/J/tKqSpljntbOFk1PjUUbWdjBhvqV15wgTcCGdwq93lGnpQCC8+TyN2Q/+KFRLodj1OyqvUQMTBqlw+L4Yq9nOyDyvGurNbRzFCFMsl8K1YgZGpKvUcNpNeE6yK91GoSl0PXrW7HEJIC1Wpn6mZctnvVjPRG0Zg68d550kc67BTdRV2vC+GxLhR6F48x7RjPtcvkTusfueqVer1W9HbV5LQrlLsz6xc67ZybZuIsjnZr/q/2ofa9W963LJ0Vtrp9v7JyX22apIrsGvg9Srd7xb6vqppu6nWz5gGJwZ3EREREVFZk0+cBP/S6xB/6Ckg3/Xe2hoEbrsR0oSxAIDEulegfbLDQgUSEI5aD49oCEG56TokXn4D2o5daS/5r5sNaSx/JBIRERENhHfd+yi0T78YmO5fPA8iVIfYvavzn9vZ5Lv8QkhDm90r0Gq908+CfqgdiQ3moxerWz+CGNIE/7zLi9AyIiIiIiIiIhrMQqEQzjrrLLzzzjsDYVsAEI1G8cILL2DRokWWylm2bBnWr18/8HcyvEvXdbz00ku44oor8Mc//hGjRuW+P9bZ2Ykf/ehHuO+++9LakvrvYDCISy65xM5bJMrL6SjDydAmp6N/O+XmyNzFVLve/LpovmW7VmTvi3Qh0Dt3BpTtO6Fs3zkwPdk5rHP5wrQO9P5tO1zpPOZGZwu72039qrWO67Ij871Z+X6YrQ8vRrr3skOeUcBYNYSFOQlMcRIyZ5cXQS52210tYTKDiZPPGIDr27Lc3pXerirYVzhhN/wUyF53mX+7wW6ZxepkL7e1IzF2ZFHqMiLCEfh27S16veUSuEeUyY1ts1q372p5Xwza9JboC6Nm89a88/S02H9Gq3vJ3JIeLytdYtwodK1Y5EoINxGZS/3O+XbtRei5jaVukmNqUwPCF5wOBIMIPf2y5eVq129Gz3Wz0HXrgqzX9Noa+Hbvd7GVR5XqeGHnWneua9tElJvd/WqxQ7uS8p1zeXG+Vch9tsGkWve7Tt9XNW431foZ0+DC4C4iIiIiKnu+M08BwhHEH3/eeIbGegTuWApp5DEAgMTWj5DY8GdrhWua5dAI0dIM5c5lkIY2Qzp+AhIvvobES68BOiCddiLki86xVhARERHRICAUP5QV3x4I7/Ivngff+dMAAL6rZyKxLs9NNyHgn38lxIgWxJ/8E/QDbblnHdoE38zSdWzzzZkJ/XAn1K0fmc6b2PDn/vZOP6sILSMiIiIiIiKiwWzGjBl45513sqY/++yzloO7Fi1ahB/96Ec4cODAQGBXanjXhg0bMGXKFMyZMwfXXHMNxo0bh2HDhqGnpwdfffUVXn75ZTz66KNob29PWy4pOe3WW29FfX29a++dBjcnowxnBgY5Gf3bCS+DirwmwpGC1o3c1g4RjqR3cpAk9M6dgfjUSWmhXfmow1sMO4/Z4VZni2JtN3aljlYNwNL3I98I116N5O3FqNpmAWOV/B0EnIf+eR1O6FUYoZ12V2og4mDn5DN2e1s26sRc6fsKOwoJZrTTATypb9Z0Wx3NnNRRDPWr1pZkO/EiSNMqBiRSOSs0qLSat+9ihLja5SSMU25rd7XTfK4gpEx26vSizEqnBQOlbkJV0GuCg2abISoHyWOn27S6mrTvcviCMxBa84rj8nquugTqyGFZ01OPM9LBw7bKlNvaodfm3ufEx49B5/KFadNENIaGlWts1ZNJTxn0pVjsXus2vLZNRJboNUHEJ4/L2n+kksJR1D9SnIFPcinGOVeh99kAoG/m+QhfeObA33Jbe1HCJrtumgc9oADAwP+9VK37XSfvy43tphxV62dMgwuDu4iIiIioIvguPBt6XyQr4EEcMxTKHUshDWkCAGh7v0b8keesF2w1tGv0CAS+fxNEQ6j/b0mC/6oZkCaNQ2LdK1AWz0sbGZyIiIiIjoR3fffb0D7bCfmk4wem+2ZdCH3fAeOwq4AC5TsLB+aXfnw7Eq+9g8SfXgVi8azZ/fOvhFD8Xr0FU0KS4F9yDfSOLmhffmU6f/yJ5yGaGyFPnVyE1hERERERERHRYDVnzhz87Gc/G/g7GZr1wgsvIBKJIBg0f+hRURT87//9v/GDH/wg7T5YaghXb28vHn/8cTz++OOGZSSDulJDu1LL8vl8+Kd/+idH75HIiN1RhruXzEVi7Mis6VZH1bbaGTdTpXfOdfKejcpIXQfa0CZoQ5vyLqOHatP+Npu/2JLbjW/3ftSvKm3HkkxORuA2GuHa65G83RpV20rAmBdhYcVQaDiMVyFzXofWWGn3YApYqkZOPuNiBCZW6r7CLq+CGfOJHzuyLEMvnSj2dlKKzysVAxKp3BUSVFrt27fXIa52OQnjTHZEL/Tcz0kAolmdXpRZjvS6WvOZMpcJ2V+GiKgceLH/6r3iQmjNjQAArbEeQlULK1DxQxs2JOfLIhxB8C8f2i428/ptmqACLXi0TulQB3x7vrZdRzlwcq0777ohovx8vrz7LNgMGnSq1OenVvY90qGOvPfB9IZQWrfYYr0nPaDk/ww9UK37Xbvvy437s+XKrc84dSA59vWmYmJwFxERERFVDN+sC4FwGImNbwI4EqZ1x00Q9f1hWnpvH2J/eNQw0KEQ0qRxUL67GMLgx598/ERI/zCBP+SIiIiIchB+f1poF9B/Edx/4zxoh9qht+49Or2pAcptN0IaPeLoNJ8P/pnT4TvzFMSfexnqX4+GfUlTJ0M6eYr3b8KE8PcHlEV/fh/0bw7ln1nTEbv/cQTuugXS2Mp56I6IiIiIiIiIKssFF1yAY489Frt3706b3tXVhQceeAC33367pXJuv/12PPzww9iyZUta+FYyvCv571xyzZNc/l//9V8xduxYy++LKB8nowxrwUDe181G1c73er5QL9HTZ/nh6nIM+ZIi0aLXqbY0l916yMVsuyoFJ4EomSNcF2Mkb7dG1bYTMOZWWJhdPfNnQ21usLWMW/sDt8MJi7Wfstpuqlx2P+N882eS27sQevplx20r1b6iWLwOZsylnEMvnSjWdlKqz6sSw2VocHISVDpYtm+vQlztciOMs5DQRKcBiPnq9KLMcqXVBKC2NNv6fvFcnYgqlV4TtLXPs6L+6fUD/07u/+3UoQOw03tJ9PQh8MF2e41E/+/oJK25AfDliSPQNNS8tsV2HZmkvgh0k9AeJ2ExoqsHIhoD4M41pNR1Y4TXqYjKmxfnp3YH+rG0z9c0W23w4phlJHMfWIx9ntF+1/TY5DE37pVKkSjsfcrVy41j6+HD6ecQDQ0NCIVCBbeNyAoGdxERERFRxRBCwDdvFvRwBPrXbVC+txiitgYAoKsqYg88Cf1wh6t1SqeeAOXmBRB+f952EREREZE9QlEQ+O63Ef2ve6G3d0KMGYnAbYshGo07qYimBig3L4R6wZmIP/kC9G8Ow7/gyrI5FxN1tVBuX4Lof98LmN14i8UR/d0jCPzjCkhDmorSPiIiIiIiIiIafK6//nr853/+58D1k2Tw1n/913/htttus3RdRZIkrFq1Cueffz7a2toMw7vMysk1qunVV1+Nf/mXf3Hy1ogMORll2IvRp32t+1zvBF0unci9eG9W9c2aXvQ6nSr1SO1uSh3hulgjeRc6qrbdgDG3wsLsUpsbij4qfaZCwglLqVzbRe6x+xkXY5so1b6iGIoRzGimHEMvnSjGduL08+q5ZibUlmYA/e0MPbfR1vLdS+YiMXak7XqJSsVOuONgC1aws24yOQl5zVdGZpucBDk6CU0sNADRqE4vyixnfbOmWw4qq6Tf80RERuzs8zKpLc1ALA65q8e1Oor1xGxq+HXn8oWm17FExhgvuhAQeQZ+Maszl/Z//p6tMgGgduNbULbvHPi70OvtVtpZLtf0iSibm+enpbxvZqSQY5ZVRvtAr/d5RnVaOTZ5wc3PvH7VWh4vjuCxlSqdVOoGEBERERHZIYSA//o5UO5YOhDaBQCJtRugbf/SQgHW65LPOwPKLYvyhnYRERERkXOioR7KbTdCPutUBO66JWdoVyp58gQE/ul2KH93M6RhQx3Vq4cjiD30FLRv2hwtn4vUMgSB224E/BbGS+jqQex3q6D3hV1tAxERERERERFR0pIlSzBq1Ki0/0aPHo1IJIINGzZYLmfixIlYt24dhgzpf/A1NaxL13XT/5JSl7n88suxatUqF98tkf2Rjb0YUdvXug/1q9e5/oC+3NaO+tXr4Gvd52q5dnj13syoLc3oXjynoh7CTo5qXg1Sv1dujB5ut04nnGyjvl17IR08PPCfCEfSXhfhSNrrZv+ZjQxORMXnRqhisQIMi61U7yv1M6m20MtyLD8xfjS0YUOgDRuCxPjRtpevlnMbGnz0muDAtp/rv8EU2pXKyrrJt66cLG+2vp0EOSZDE61yI7Ays04vyix3iXGj0L14Tt7jQyX+niciMmJln2dEFwLhC84AFPP+SFbqsBeBVXrqcGfP9xaD0fV23eVBhMvhmj5RJdOFgDqk0dUy3T4/LdV9s3ysnqeHp09z9VrPYNnnefGZD5Z15wauKypnFnqQERERERGVFyFJgHI0gzbx7t+QeOUtS8v6Fl0N9ZU3oZv8QPbNuhC+OTMtjTRORERERM5Jo4ZDWTY/5+vqh58CAQXy8RMHpglZhjzxWMd1xv/0KtS/fAj1vW3wXXY+fLMvhggojstLJY0bA+XmhYjd96jpkxL6/oOI3f84lNuXQPh4qZaIiIiIiIiI3HXaaadhz549rpR19tlnY/PmzbjhhhvwwQcfpIV3JRmFdBm9fuedd+IXv/gFZFl2pW1ETkc2dnNE7aTa9ZtdLzOz/K4VizytI1/dxdI383yELzwTeqi2YjvRF2NU82KoX7W2JHU6GTW7kFHOQ89tzJqmtjQjNmUClO07y6rjDRE5kwxVLOT7bBTKl+9YJcIR2yFLpTj2FSuYMVVmgKobn4+TNgDOAh/zcSO80e3toND17UXgLRGREadBjqKnz/J+yq2AxdQ6vSizEiTGjULXikWG5zyV/HueiMhIvn1ePiIWt3zena8OEYtDzxEAptWH8hcsSflfH8Rq129GzzUzoQuB3rkzEFrziid1lOqaPlGlSn4n5UMdqNm8Nev1nvmzoTabDxaeVqYH56du3zcLX3QWoGkDf5vu33Owep4eueisgXmkrh5AVSF39aJ2w5uO34PRPq9z+cKjr298C/5dex2XX2pe3it163jRvWQuEmNHAjC+Pi23dyH09MslL7MQPLZSOWJvMCIiIiKqaNrufYg/usbSvL6ZF8B/4dmQp0xE9Of3AUYXzAXgX3AVfBef43JLiYiIiMgu9ZMdiN3/BCAJKMtvgDx1csFlavsOQH39nSMVqEis/zPUv/wN/muvgHT6VFeCW+VTT4B//pWIP/WieXs+24n4o2vhX3ItQ2OJiIiIiIiIqKwdf/zxePfdd/Gb3/wG//Ef/4H9+/cPvGYU5AWkh3nNnDkTP/3pT3HuuecWpb00OCRHNrbDSSCQFSIc8TxsQm5rhwhHit751ZP3lqfDmN4QMhsXoewlRzV3GiQ12CVHze5ePMfSd9XJvsBKG2r42RFVlUJDFXN1Pso8tygkSNCoPK8U2s5CGAWoFjv0MtkGt+t0q5Oam9tBoevbi8BbIiIjToMc7YQmuhGwmFmOW2VKkSg089nKjl4TZEgXEQ0advd50sHDeV9XPtkBLVQLbWiT4zrMaEOboNUEIYUjrpVZLeS2dohoDL1zZyA+dRLgQXBXqa7pE1UsSRr4Tspv/MVwFrW5AdqwIUVuWDov7ptFp011dV9h5XiSnCe5PjWT45YZo31e6meluzTQeil4fR/YreOFFgwM/NutcwovyiwEj61UjhjcRURERERFpycSSLzwKnwzL4CoczY6EgDo3T2I3fsoEE+YziudcBx8cy/v//ewoQjctgTRXz8AxOJHZ/L7oCxbAPm0Ex23iYiIiIjcoX6+s/9cT1UBFYj9YTWUWxZBPtX5uZqu64g/+QKgpXf50tu7EPvjE5CmTIR/wbcgjRhWaPPhu+Q8aIc6oL76tum86pYPIIY0wX/VjILrJSIiIiIiIiLyks/nw1133YUf/OAHePHFF/H888/jrbfewueff46+vqOD5kiShCFDhuCUU07B7Nmz8a1vfQunnnpqCVtO1cruyMapIwK7LXN0Ya+Inr7iB3d58N5SO6NVq+So5r7d+1G/aq2tZe2OGF/s0axzMWu33XZaHTXby1HOiah6eBWqmBo2CBQeBGU3vNAJLwIPrcgXRlWs0MvMNpRr0KYb20Gh67tYIXJERKmcBDmW4reQF3XWr1qbd98rwpGs3+d6qNbVawRSJOpaWUREZC7w/qeInHlyqZtRMD3kvF+Yl6RDHZAPtOWdRw8o/aFdHirFNX2iSqUNbTK9f1QO+xwv7puVw77CjXVbDu/DC8W4D1yMdefkMzZbphTfSSvrSlVVxONH+45LkgRZlr1uGg1SDO4iIiIioqLSYzHE7n8c2rYdUD/ficAPlkEEAuYLZpajqoj98QnoFkYpEkObody8ACJlxF5p3GgotyxC7A+r+4MbhIA8/SxIp55guy1ERERE5C71y68Q+90j6QGtqobY/Y/Dv2wBfNOcPaigbv0I2o7WnK9r279E9Gd3I/D/+S4kFzrv+a+dDf1wB7S/fWo6b+LF1yCGNsF37hkF10tERERERERE5DVZlnH11Vfj6quvHpjW0dGBvr4+KIqCoUOHQghRwhbSYOBkZGPR3gl4FNxVrM6tUiQKrSg19XOyntWWZgAouwCMUkkdidqqchgx3gm3221l1GyvRzknouqSDFXMDL5wIwDR7RBBq+GFTsu2IzX81Cg0xAorwSK5Ph+3GLXBrM7UZZyEcRbKyXbQc81MJMaPLmh9ux0EQ0RkVbGCHMuVUXCjr3Wf50GLZnUQERHlo9cEobY05z2OlOSasaahbu0mCF03n9dDcls7f2ORLZm/07XGekDxl7BF5UNtaS74uyTCESCegN4QcqlV1cPK/rwSiN4wAls/TpsmH+5IG/w9Ou0kaLVHtyW399NOjnuyQT9pt9tl9zO28p0rxXbj+2o/EhnTRCwOPWVf2ReOoLemd+Dv2tpaNDU1FaeBNOgwuIuIiIiIikYPRxD73SPQvvyq/+/WvYj94VEoty2B8Ns7NY0/+3Le0IUBih/Kd78NUZed3CyfdDx8i65G4qk/AQkV6qtvA+EI/NdfDeHnBS0iIiKiUtC+2ovYPauAWNzgRR3xB58C4gn4zj0dejQGbd8ByBPGmparR6KIP2v+sL00YQzEmBFOmp5FSBKUZfMR/fWD0Fv3ms4fX70WoqkB8pTjXKmfiIiIiIiIiKiYmpqa+KAjFZWTMIfQC6+ju7GhoM6smYrdubV+1VpXOuWaKeR99c2aDgCoX73O7WZVJC9Gr3ajDi94Meq22ajZxRjl3Avl8pkRDVZ6TdD1DrNunwtYCS90wkngYWoIpRfrLlMx6nBSp5MwzkI52Q7sdmItxfomIsonNVjQt2svQs9tLGr9fTPOQ+2mt0taZjK40de6z/S3tVHYlx1W6iAiouqjNtZD7ux2rby+WdPzHk9Kdc241KFdAAbOZYpxXZ8qW677Mk7P86pRcl/iROr6jU2ZgN7rZrnYsuphtj+vBKIvjJrNW/POo2zfmTXNzf20k+NeroElku1KDRortG1W22X1O1fs7aYux8AUOoDU4eV47KVikUrdACIiIiIaHPTuHkR//cBAaFeS9tlOxB58ErqqWi4r8c57UF97x9K8ypJrIY0anrtd+78BEkfrVt95H9Ff/hFae6fl9hARERGRO7S9XyP624eBSDT3TLqO+KpnEd+4GdH/eRCx3zwErXWPadmJF18DzB4yEAL+hVdBCJF/PhuEoiDwvcUQQ5vNZ9Y0xO57HNq+A67VT0REREREREREVA10XYeIRCEiUeBIRxsp33XEPGpzPMjrRLJza7FHnk52yvW17vOkfKfvS21pHuhAkhg3Ct2L5wyMKD2YJUeatsrJiPF26/CCnVG37TD7rjvdF5SSk8+YiLxVrmF6XoQTOimzXNdPsZVqPVRqSCURUaFK9TtHa6greZnJ4EY71zCcXu9w8zoJERGVp+6b5qFz+cKB/zruWoau7y929fptruvBvGZ8lNfX9amylep+U6VI3Zc4wfVr3WDeV7uxny50W83XLv9X+10pz8pnbPd9lMt2k9kLiMdeKhZfqRtARERERNVPO9yB2G8fhv7NIePX//Yp4o+uhX/xPAgpf7as1roH8cespS/7Zl8E+YyTcr6eeOc9qK9vyZquf7UP0f/f76Dccj3kyeMt1UVEREREhVPf3wb0RSzNm1j/xsC80XseQeAfboV0TIvhvLquQ4/H+6/E5xk8S77obEijR9httilRH4Ly/SWI/vd9QF84/8yRKGK/W4XAP66AaGxwvS1ERERERERERESVRv30C8TXbUTTV+48UJvs/OpGaI7dzq0982dDbc593U9u78o5mnKu+rtWLLLVBqvl2tW9ZC4SY0emTUuMG4WuFYsgwpFBHzjhxejVhdThBa9G3a5ftdZwRGxf6z7Urt9ckR1tnH7GROSdZDBIue1T5PaurGl6qNbxeYwIRxwFczJssF+ptpPU7cBomyAiqmalCE1URxg/f1TsMqW2dlvHHCfXO5ycGxARkXXa0CZ0/P3SvPPowUBR2mHE6vVbLc817ZzldfVCb6jLOi4l55H3fI2GlWssvwcA6Lppnq357epcvhBA+u9us3Vj95o+4N11fapsDFPNFp12EmInTCzoWlhSKdZv6j1BEY3BvzNloHJJgpqxb9bqQ0VsXX65jg9G+zxdCPTOnQEAqFu7KW+5fTPPR/jCM7Om+/Z/g7oXXjdcRm1qQM+C2VnTrR6bnHC6n868V+r2dudmefnOAZx+56yWafR66KmXIXe4d91TR3qIV+36zUicOMm18okyMbiLiIiIiDylHTyE2P88CN3kgRH1nfeBmiD8110BITKzjfvpXd2I3vsYkFBN65WmTobvqhm529W6N38AWE8fYr95CP7rroB88Tk520RERERE7vFdNQNIJJDY+Gb+Gf3+9ICv3j7E7l6JwD+sgGjIvmklhICy6Gpo55yO2BPPQzfq4FdfB3+e88dCSce0QPneYsT+50HT81m9vas/jOyuWyCK8FAGERERERERERFRuVK//Aqx360CVM3VckVPX8EP+TsKvmhugDZsSEH1pnIzhCzJaaddLc+1TL0mOOgDP5IjTecLmjIKp3K7DqM6Y1MmQNm+03FnbbvtdtLO5IjYydG9fa37ShpS5lShnzEReavUAYhGcnX+tbs/KSTskGGD6UqxndjtBE5EVE2KHZqotjRDa250tU6nZcod3bbrsnu9w0nIdinC1IiIKpYkQa+tKXUrTLl9/dZKebnCxGJTJuRexuD54LztCCh5y0vOM1C+wbV7L65te3Fdnyobw1SN6XU10OsK34eWav1m3hNUx7g/uLjXzPaBydCu+NT+QKReAJCk3PM3hAzHYNcPdeRcRu7ociW8zQ6n++nUe6WV8r324jhnut1kvC7CEVdDu4D00C6g/zNN9EWAJlerIRrA4C4iIiIi8pSoCQIBa2ED6rt/g3/mBUBjduK1nkggdv/jQKf5TUgxbAiUZfMhcvzQ17t6ELvPQgCYpkHd/gXki84GGNxFRERE5DkhBHzzZgF+PxIvvmY8kyQB8XjWZP1QB6L3rELg77+TM+xKGjcagX9cAfXt9xBfuwHoDQ+85p93OYTHD0jIE4+FsnQ+Yn98wnRefe/XiP3xCSjfWwwhy562i4iIiIiIiIiIqFzFH3/e9dAu18QTeTv9KNt3Zk0z69zqpPOrGyFkmeU5wY675rwYvdpOHZlS64xcdBZ8u/ejftVaW/Vljh5ut51260yOcm53VPHUdloZId6KnvmzodoY0b3YHUuIyD4nwYKlkhlomI/TsEOGDRqrpO2EiKhaFDM0MRlY6WadTsuse/5V23XJmQNtS1J2MEokBqm7x3h+E2pLM3/XEBEdYXj9zWi/S4aMwjl1IRCbMmEgAMaM6O6FiETTy025Bqc3hNB73Sz3Gm3A6XVxt6/rU2Uzu5avfLIDWqg27/5FOniY16BzMFu//m07oA5v4f7bgsx9ntB1hNa8Aqx5JecyHXcty7tdSoc6oGzbkbdeu/tMN+5ZFrqfdnq/dTAq1rpSOzrR15T7vp4QAjU15R+4SuWJwV1ERERE5CkRqkPgjqWI/uJ+6Ic7cs/X1ADlzqUQBqFdABB/+kVoX+42rzCgQFnx7byhC+qOXdCtBIAdMxTK0twBYERERETkPiEE/FfNAPw+JNZuzJ5By91JT9+zH7H7HoPyvRsh/MaXPoUkwXfBmZBPOxHx51+BuvkvkMaNgXz2aW69hbzkM06C73AHEs+tN51X+2QH4o+tg3/xPAgGyRIRERERERGRRdFoFO+8847haxdffHGRW3NUubaLypfeF4a+74Br5aktzUf/8BUelp+v049/2w74P9sFoR8dN9pK51ajzkpmjDrZ6gEFekPIchnSoY6Ba692O+0C7LhrlxejV7tRh5ZjUAy3lylkebmtHVJ7p+2glNR63Fr/anMDtGFDCi6HiMpLvgBEp0F/qVJD/9woLxloaDaPXU6DGQcLO0GZZtzYDoiIql0xQhMzAyvdqNOLMs1kHlNix49HLCP8RERjqPvT647KT4aQERENZr7WfYb7cl0I9M6dweAXGzJDLYWuo27tJvQClsK7gm+9h+DWbVnTixlE7eSaPnD0OrxWHwKCStprXg78QJUp8P6niJx5ct55Gu97EoC327/Rtmm0DZtKCZIFcm/foqsHIhpLn3bkbz2Qv06r3xn/th2oW7sJXbcuSJsuHTyctzwpIzRwsLC7z7N0/1DToHy2K+8svtZ90No7jy4ybAi05sac84tIFGp9HeTuXkvtNCIf6kj7W0qpP2e9GdtrKVhpZ6ZiH2OMBtgpih2t6Pmmrb8NPX2Quo7uhyDLiJ9zKmomjC9OW6jqMLiLiIiIiDyXDOWK/uJ+wOAHrxg2BMqdyyANaTJcPvHmX6H++S+W6vJdPQPSyGPyzzPtZIjaGsQeeBLoCxvPFFCgfPfbELywSURERFQS/lkXQfj9iD/9IgBADG+BfqDNdDlt+5eIPfQUlO8shJBzd74TdbVQrp8D7fxpgCw7DmvVvjkEUROEqK+zvIzvsgugH2q3dI6rvv0eRGM9/Fdf5qh9RERERERERDT4fP3117j00kuzgsCFEEgkEiVqVfm2i8qXlcGYrOpcvrBoATvJh/xTQ7sA651bMzsrmTEKeohNmZAzVMyIfKDNsM1WseNudXAyAnmho5Y7WV7+2vxegZ16nL4HN0ZsJ6Ly5VXIotuhf3JbO0Q4krOtIhxxFAxSaDDjYFGMME4iIurnZmhiplydlAup06xM3+79qF+11nGbrVI+25XVCT48fZrtcooZgEJEVM58rfsMr90mQ7ushE3RUUahlnbDu4zIbe2oX70O3YvnFOXYZfeaPnD0un7PtZcjfsJEALlD4ZJ4PCYrvNj+822bqduwVf5dexB6dkPaNKPtu3bjW1C273TW6JQytVrjaze57ucBR4PQMsuLTZkAZftOz4J4K4GdfZ5b9w/rNryZNU2XJYQvOQfRc04dmBbY8jfUvLYFQs09ULxVmduoFQ0r15hud16rf9p8cHkjxTjGmB3nvFZrsB2l0jdvRWTUcPivvxryxGOL1CqqFgzuIiIiIqKikIYNReCOpYj+6gEgHBmYLkYPR+D7SyFyjParfvkV4k88b7mexMY3IZ82FVKe1GwAkE84DoEffQ+xPzxqOEqzsmw+pOHDLNdLRERERO7zXXoe4PdB2/4lfEvnI7H6Oah/+dB0Oe2DTxB/dC38i+eZBnJJY53fXNBVFbEHn4R+qAP++VdAPvu0rI6nRoQQ8C/4FvT2Tmgff246f+Kl1yEa6uG76GzHbSUiIiIiIiKiwUd3GMDjtXJtF5EbjB7yt/ugs1FnpYJEYvDv2pN3lvjEY9E7d4bt8C52FKounoyU7nKdACB12Rsh3aydTtrgxnsnosrjRmBfahluBQCKnr7cwV0Og00YTlg8Xqxrfn5EVM1KEZroRZ2VFJLZvWQuEmNHlroZRERloXb9ZsPpkfNPhzpsCKSDh7Ne05obAB+78ueSMyjT4WC8qWrXb0bXikUFl2PGjWv6uULhUhU7kIwqm1vbv5Vt0w1ebN/JMpPhUboQA/fAlO074f9sl617YnJbO2oGcWBXkpV9XjHuHwpVQ+0rbwMAouecisCWvw38XUqZ212l8PoYU6x9SSEEAH3fAcR+/QCU25ZAPuG4UjeJKgjP9omIiIioaKTRI6DcvgSx3zwExOKQJoyFctuNELU1hvPrnV2I3f84YCflurMbsXtWInDXrTnLHWjP0GYE/mE54qvXQN360cB035WXQD7lBOt1EhEREZFnfNPPgn7Bmf1hVzdeA72rB9pn5qPnqO+8DwQD8M+/0lKYlhPq61ug794PAIivfBbq1o+h3DAHwiREFgCELEP5zkJEf/kA9D37TeePP/k8REMI8mknFtxuIiIiIiIiIhocUq+JlFNYVrm2i8gN6vAWdN26YOBvPVTrqHNvsrOSb/d+1K9aW1CbpO4e01GhO5cvRHzqJPQClsK7eq6ZicT40QwuqkKlGCndTp0AULvJXscLK+2024ZK63BBRO5wEvSXKjP0r9DykuT2rvR2ppx/SJFowe0kb7m1HSTx8yMiqgyVFLJYSSFjREReEuFIzvP2mjffQ82b7xm+1rl8IbRhQ7xsWlXwIihTbmuHCEeK8hspNYDMt2svQs9ttLV8rlC4XPMWI5CMKptb27+dbdMNXmzftes3QxcCvXNnQNm+E8r2/n4IdkK7KF3O0EU4vzfqVM1rWxA951TUvLalaHVaUezvjlu8OsYUuj56L78AWkPdwN9yVy9qN7xZaLOMqRriz78CacpEz/ohUfVhcBcRERERFZU8YSyUFd9G4vV3oNy8ECKgGM6nxxOI3vc40NVjuw59/0HE/vAolDtugvD7884rAgr8Ny+AOHYUEs+th3TSZPiuvMR2nURERETkneQFb+HzQVl+A6K/egD63q9Nl1NfeweiJgj/VTNcb5N2uAPx519Jn7btc0T+39/Cf90VkM87w/RCvQgEELj9RkT/+17ohzvzV6gDsQefhHLnMsjHjSu0+UREREREREQ0SOi6XpYPE5Zru6h6mXWIlQ51AFr6gFJOHizXhjbZbJlJeUXqHKt8+iXUQx2AJCE+eRyUz3blnZ+BENWrFCOlW6nTCTvttNqGYowST0TlzW7QX+aybpaXFHr65YKWz8RwwuJzYztILYuIiMqf28GNdmg2Q8MqKWRssCuH4ASiapb5/bKK+1HvyIc6TOcRPX1F3Q8mj/F25AuFM1LMQDIqDm1oEzr+fmneefSM+0XSoQ7IB9oQnzop5zKFbv92t003eLV9hy+/APGpkwZCu8gdXoQu2iVUDb5deyBUzXxmMuXFd9CNfUli3Ki0IFTt4OFCm5WX3roXCEeA2hpP66HqweAuIiIiIio6+YTjIJ9wXM7XdV1H/PF10HftcV6JEEBCBUyCu/pnFfBfdgGksaMgjRkBIUnO6yUiIiIiT4maIAK3L0H05/dBP9xhOn/ixdcgaoLwzTjftTbouo74E88DsXj2i5Eo4qvXQN36EfzfngtpaP4b8KKhHsrtNyH6i/uAvkj+ihMqYr9fjcAPb4U08pgC3gEREREREREREdHgYSVkSj7Qhrq1m7JG1y51SE+xOnXVbN5qa352NqtupRgpPVmnb/d+1K9aW3B53UvmIjF2pKM2GL1vgJ2diaifk7DBfOcTXoUXOlHq857BzI3tgJ8fEVHl6bv4bNS7HMBpxm4QN4O7K4OvdV9RA7iJyDruRz2m6ebzlIDd6+dZ12CFQO/cGQOBTP5tO6AOb3F94JByJrp6IKKxol+TTV4bLvq1YEmCbjccRtNQt3YTeoG84V2FsBJYKB/qgMHT9DlJhzqgbNthWq/b6z9+bP77BanfW8lCKKAV5XYvrVxDXt1YT/4dX7nQEkpy+zvoNPw0VeZ2Um7fLyIGdxERERFR2VFffRvqO+87Xl4+4yT4b7oOwm/vdFeePN5xnURERERUPKKxHsodSxH95f1Ad6/p/PFnXgKCAfjOn+ZK/dr726B9/Hn+ebZ/iejP7oZ/3uWQp5+VNxxWGjEMyncXI/bbh4F4In/l4Qhi96xE4IfLIZobnTSfiIiIiIiIiIioIoiGkCvl9M2anva31N6J0FPZHWMzQ7uA/lGF61evQ/fiOSXp3KjXBKG2NJc8yCMVO5sNHqUYKV0LBkpeTjmMEE9E5c0s6C+Vlc5v+cqT27sQ8jjQo+eamUiMH819X4nZ2a4ylUMnSyIiss4sZMlLfbOmQ4RNBhbMmJ/Km691H+pXr8s7T6mvbxFVC625AZ3LF2ZNVz75AjVvvme4DPejg1Oh1/WFrg8EMgFA3dpN6Lp1gb0yyjSgx6rajW9B2b4TQHEDKJVtX6B2/eai1+tU5rZia1m3BrDQNHsVaxqUz3blnUWKRGGz1IJk3fey+56slFlC5R7y6sa9UDu/ccic/PXBtL9Lffww+j55fQ9djBsNlMl3mCoDg7uIiIiIqKyon+xA/FnnDxvJl54H/7Wz8wYjEBEREVHlk44ZisAdSxH91QOAhZst8dVrIIIByGecVFC9el8Ysaf+ZG3maAzxJ16A+t7H8C+eB2nY0JyzyseNg3LzAsTuexww6CCY1ob2LkTvWYXAXbdA2B1hiYiIiIiIiIiIqEKIulqIEcOgZzwcbFXOB80Tqu2HeGvXb0bXikWO2lGovlnTTTtgFhM7m5GX3BohmyNtE1ExuB30V6rgwHLqSEgMkCQiqnZWQpa8kHqNxP/pl7bmp/KWDBexOm+prm8RVQWfD9qwIWmT/Nt2IPjW+1mzcj9aJP7siIT42JGm8xRDodf1ha4jtOYV28uVe0CPE6UKoKyU4MtkeFdS7Pjx8H/eajhYDWAtRDa5nWi1pbk+Ub9qbVHr8+K+V7ncS6uUkNdC95mBj3e42BoKPf9a1rRSHj9yfZ88u4cuS/DPuQxCCPfLpqrF4C4iIiIisk3XNMSffRnyKVMgT57gWrnaN22IPfCkaVBBLr5rZ8N/2QWutYeIiIiIyps0egSU25cg9puHgFjcdP7Yg09CCSiQp052XKf61w+Brh5by2g7WhH92d3wz5kJ+ZJzc4bMyqeeCP+iqxB//HnTMvX93yB276NQvn8ThN9vqz1ERERERERERKWQSCQG/p36kKPEAXkoD/+iqxD79YO2l+u7/HxEzzrFtXbIbe0Q4UhJQhQS40ahe/Ec044UXqvEDj1UedwYIZsBNERUTYoRRMiwQyIiouKxE7JkV9dN86AHlKzpeqg27TdSfPwYdC5fmLOczPmpfIlwxNbv51Je3yKqVurwFnTduiBtGvejxdP7rYshItGjEyQJ2tCmkrUnVSmu61dKQI9TpQqgrITgy9SQrtjUSYidMDEtzCvJaohscjspl/Apr3hx36vc7qVVSshrudwLpdxKcfwoxfdJjBoO//VXQ554bNHqpOrA4C4iIiIiskVXVcRXr4G65QOob21F4M5lkMaPKbzccASx368GwhH7C8sS/DddB9+Z7j14TURERESVQZ4wFsp3v43YPY8Aqpp/Zk1H7PePQPn+TZCnHOesvgvPhgjVIfbkC0B3r/UF4wnEn3kJ6vvb4L9xHqThwwxn8114NvTObiReet20SG1HK+IPPwP/dxbmDAMjIiIiIiIiIioXPT3GYeh+hpJTHvLkCfCvuAHxex+ztVzgvU8GgrukQx2ApvW/IEmOwyl8n36J0Et/zjtP5/KF0EO1ED19OefRAwr0hpCtuhPjRqFrxSKIcCRv2al12NFzzUyoLc25y6vyzmZp24iBan//5abQEbKrvTMREQ0ubgQa5sOwQyIiouKxG7Jklx5QoA0bYj5jUIEWtDAflT0r14iMluH5H5F7yiUkarDS6+ug19eVuhk5Wbmur9X33yvoufbytOlyxn2N5Hz5VEpAj1OlCqCsxODL+NRJ6AWAjGfL7YbIBt7bhvZ//l7atMz7KVa2Ta+FLz4bNa+/a2nevpnnI3zhmZ7c9+leMheJsSNdLbMQlRbymmufKbd3IfT0ywWX3/Oti6GOOsbwNf/nrai1uA1VMrWpAeHLzitofXp1/Mi8V23lO+p2MHbv3BlomXWJq2XS4MHgLiIiIiKyTE8kEHvwKWgffNI/IRpD9O6VCPz9dyCNHuG8XE1D7MEnoX9zyP7CAQXKd78N+fiJ/WWpKoQsO24LEREREVUeecpxUL6zELE/Pg5oev6ZNR2xu1fB//2b4Jsy0XZdQgjIZ5yE4PETEH/qT1D/8qGt5bWduxH9v/fAP/dyyJecaxi45btqBvTObqhvv2danvr+NuCZl+CffyWEELbaQkRERERERERUTAcOHDCcHgqV/oFuKm++U09EfGgzcMjGw+WHOgYeLpcPtA2MLN47dwbiUyc5CsCoeedvpvM03vek6TyxKRPQe90sW3Un6TVBTx6YV1uarXXurVL1K9dAyjPIWN+s6YieeVIRWzS4OR1ZvdxGsicickuhgYZmZRMREVFxOAlZskNu7zKdh8HUxWMlfL3Qz0OKRB0tkzu6nIiIvGDlun78hPTnmeM266i0gB4j0qEOyAfaEJ86Kec8XgRQlqreQpkNUpP5fpyEyBptJ+UYWBibPA6RC86wNK/eEIJJTwPHtGDAo5KdqdSQV8/uhY46Jue9ULW90/X6ypHc0QWttrB16+j44ZPzDiAFAOqIFmjNjZaL9CIYW1c44Bw5x+AuIiIiIrJEj8UQu+9xaJ/sSH8hHEH0Nw8hcNetkIa3OCo7sXYDtG07zGfM1BBC4Ps3DYSG6eEIor/6I3znntEfgsDgAiIiIqJBQz7tRPhumIPE6rXmM2sa4nevBO5cCt/kCY7qE3W1UJYtgHrGSYg9tg7o6rG+cEJF/JmXoH74KfxLroU0NP1GhBAC/hvmQO/qgbbtc9Pi1NfegWish//yC+2+DSIiIiIiIiKiovn4448Np7e0OLvHSIOL/7rZiN/7mK1lkg+kS+EoEmNGDPw78NePER832n4HhQ7zDrDlSBs2JGtEdKJyl2tk9VzY+ZyIqpnTQMN8GHZIRERUfUJPv2xpPp4HeMvXus/WeZuTz8NuHanqV63lNkCUg+l1KEkqy8AaMid6wxB9YQDVex2xUgN60mga6tZuQq+NRQa+t34ftKYGiN4wAlvT70fKhzsGBoXWfTLCl50Pva6moHrdlrr/0ZobAJ95/IdeE7Q1SI3TEFl5937DMB29tiZ9PVppQ3cvaje86agd+eihWojuXogjoaaFfs/NQtHcXq6clGPIq1vrNV851fDZWaYXHl3X9MuH8gZx9SyYnbbf0Job0bViUcH1pvIiGFursbdPI0rF4C4iIiIiMqWHI4j9fjW0L1qNZ+jpQ+w3D0G565as0AEziS0fILHR/kUXccxQKN+/aaA+XdMQe+gp6HsPIP70i9C+Pgj/oqsgZNl22URERERUofoi1ufVNMTvWQVx5zLIE491XKV8ygkIHjeuP4jrnfdtLavtaEX0Z3fDP/9KyOedkRY8K2QZyi2LEP2fB6G37jUtK7FmA0R9HXznWhsxiIiIiIiIiIio2J5//vm0v3VdhxACY8eOLVGLqJL4Tj0RiSGN0A9bH/G4/uE1kGKxtGn+3fvdbhoRecirkdWJiCpNrkBDua0doec22iqre8lcJMaOdLuJREREVCHktnbUr16H7sVzGNzkMl/rPtSvXmdrGbufh5M6Cq2TqNpZCcPThUDv3BkM7qpQga0fo2bz1oG/qyHAUDrUAWhH43XkdvsDj6QG9GQF1+UIqpMOHk77O29AUiQGoWu2ru8KXUfd2k0QKcEyuhBpfwPZ39v42JHoWTIXoi+c9lkbNuu807MCp5L1qqOPyVuv24z2P53LF0IbNsTS8n2zphd8XmCm/un1htPD06chctFZtsoSkSj8rfvcaNYAtaUZek0QNS//GcGt29KmO/2e2w1FS21HpSvHkFcnn0emXJ9PIYG4lUoPBgpenwDyLi8dPAwkVOgBBXpDqKB6AONwVSfHPVNBxf0yadBgcBcRERER5aX39iF690roX+W/MKJ3dCH2Pw8h8MNbIBobLJWtte5BfPVzttskTRgL5XuLIer606x1XUf8yRegffz5wDzqm3+F3nYYyi2LBuYjIiIiourmu/Q86F8ftB6gFU8gdvdKBO5YCmmC8w6iorYGypJroU47GfFH10C3cyMgGkN89Rqof/sUyuK5EA31R8sNKAh870ZEf3Ef9Iyb3Ubiq9dA1NRAPvUEJ2+DiIiIiIiIiMgzb7zxBjZt2pQWXJ50/PHHl6BFVIn8S65F7NcPWp4/M7SLiIiIqNJlBhrqIfvPxakt9gbmJCIiotLpnj8LWnMj5PYuhJ5+2dWya9dvRteKRa6WOdjVrt9c0LJWPo9C6nBaJ1E1sxKGlwztik+dVKRWkdeqIcBQPtCWFXBlV/2qtXlfj02ZkPZ338zz0Xjfk1nz5Qr58e/ag9CzG2yHAKW+p9iUCYhNmZD2Xt0IscxVr2/PAQCAVhNE36wLCl7H+bjxPhLjRqF78ZxBFzyUqm/WdMPphX7P7Yai5WpHJSrHfWShIXVGn49X+5JK4HXoXzLwLzZlAnqvm+W4nMEYrEaVSyp1A4iIiIiofOldPYj++gHT0K6B+bt7oB3qsDZvZxeiv18NqJr5zCmkU6ZAuXNZWhhXYsOfof75L1nzap/tRPS/74X2TZutOoiIiIioMglZhv/GayBffqH1haIxRO9eCa11b8H1yydOQuCf74A83d4IQgCgffwZIv/vb6G+93HadFFfB+X7NwH1dRYK0RF74Amon++0XT8RERERERERkRe6u7txzz334Nprr4V+5MF2PeMB97PPPrsUTaMKJE+eAOXvboYYOczVcrWMkdXdEps0LqtjCxEREZGb9JqgrSAutaU5LfiLiIiIyk/PvMvQM+8y6EJAa26ENmwI1GZrg2rbIbe1Q4Qjrpc7WIlwpKAO5VY+j0LrcFInUbUzC8NjaFd1czMM0Uuiqwd1z6xP+0/ZvtOzQKkkZfvOtP9E1HiwlGTIj6/VuO+h2etm4lMnoXfuDOhHBgcq1ueWWa/b3HofiXGj0LViETruWobO5QsRHz/GlXLLndrSbClYyul6ToaimV13s9qOSlRO+0irn0emfJ9POb2/YnO6PospGazG0C6qFL5SN4CIiIiIypN2uAOx3zwE/eBhawvUBBG4fQmkCWNNZ9VjcUTuXgV099pqkzz9TPgXXgUhywPTEu9+gMTajbnrOngY0f+6F8qt10OeMtFWfURERERUeYQQUOZdjnhjCImnXrS2UCSK6G8fRuAHyyCNLezGmagJQrlhDtQzpiK+eg10i8G2AIDeMGJ/fALyh5/Cv+hqiCMPzUstQxC4fQmiv3oAyHHje0BCRez3qxH4u+9AOrb6bgISERERERERDUavvfYaXnvtNcvzd3R05Hzt3//9311oUW6RSAR9fX04cOAAduzYgQ8//BDxeBy6rkMIkRXaBQAzZ870tE1UXeTJEyD/y51Qv2hF7Jd/LLi8gQeSe8MFl5UpfMnZkA8ehv+zXZ53oPFEJAapuydrsh6qdS3wQ4QjED19WdO15gbAVzmPt0rtnUBCzZru5roiIiLKpW/WdNSvXmd5XiIiIipfscnjoQ4bAgCInH865CPPHeUKyiiUb9fetM7a/B3rnNH1DSdl5Fv/btRht06iamYlDC8883wkxo+G6DO+fqwHA4AkedE8KoJkgGG57wdFNAZle/kP6Fu7fjO6Vixy/Ho+8amT0Iv+dVFwiIuN72yyXre/526HcQL94e7lvi27tR67l8xFYuxIS/MW8j1PhqLlupdV7efO5baPNPs8MuX7fNz4DvZcMxOJ8aPR9MuHcs6jNtZD7uy2XGb3wisATQMAyAcPo/aNv+Zvw9WXQh3RMvC31N2L2o1vHZ1BElCHNKUtowcUAEfXp//D7Qg9b/1ZlGIZzMFqVJkq58kGIiIiIioa7eAhxP7nIejtndYWCNUicOcySKNHmM6q6zpiDzwB7Dtgq02+q2fAN/tiiJSkenX7l4g/8pz5wuEIEi++Cun4CWnLExEREVH18l9yHkR9CPEHnwKsdIoLRxD9zUMI3HkzJIs38/KRj58I6Z+/j/i6V6C+/g5go1+e+pcPoX35FfxL50M+bhwAQBo7CsryGxC7Z9XADZmcojFE716JwA9vgTR8WAHvgoiIiIiIiIjKwauvvop/+7d/s32fKxmSlfr/f/u3f3O9fWb1A0hrezLASwiB8847D6NHjy5am6h6iNoaV8rpmzXdswd//V98hZrX3q3M0C4A/l17EHp2g+Fraksz+mZNdzyCuK91H2rXb875UHzn8oXQjnRUrgShp17O+V4KXVdERERmEuNGoXvxnLzHVh6PiIiIKoPy+S4on+8qWn2h57IHz6628wYnHfuNljF7XW7vKritZmW4UUcmKRKFyZNoRFVLl2V0L56T83Xlkx2o3fAmaje8mXOejruWlU2gCWWTDnVAPtCWdx4GGLrHLOTH7HU9VJu3/PjUSZAOHs47j/+r/XlfV1uaoQ1tsl2v28zOTfzbdkAd3pLV1lJQmxoAn+xK0Jg2tAnxsSPh353/czItJxgY+HcxvucVEYrmkWLsI0V3L4JvvZd3nsj5Z0CvrwPgzufhRiCu1hCCb+eevPPYCe0CAK2x/uj90UAg/8wAEseNhZ5yz1wbNgRdE8faqlMPlt+27UW4IZHXGNxFRERERGm0fQcQ/e3DQFf2yLlGRFMDlDuXQRreYj4zgPhTf4L20WfWGyQJ+G+YC9/50wwKi/enrav5bxeJ5kYot1zP0C4iIiKiQcY37WSgrhbx+x4DIlHzBfoiiP7Pgwj+7x9A1IcKrl8EAlAWfAvqqScivupZ6Ic7LC+rH+5E7FcPwDf7IviuvARCliGfcBz8S65B/OFnzAvo7UPstw9DuetWSBkjpRARERERERFRZdJdCP9xoww7Uu/PGdX9wx/+sIitoWoiGgq7fqc2NSBywRnQaoNAQnWpVelqXtsCUZmZXabktnbUr16H7sVzbHfk9bXuQ/3qdR61rPwUsq6IiIisSowbha4Vi0xDJoiIiMgZN46xUndvQW1QG+ttd/x2olp+x5qFhpej0NMvF73O+lVrqy6sjcgyxZ9zu/dv2wHlg+15F1dbmvlbq9xpGurWboLW3FDqlhTELFiqWCQL/QyDr25B9KyTAQDCYP7Q4y9C98lHChRQM4KptGAAUurz3qqaFtYltXfmrNu/bQdq8gTt5aLXBKG2NNs7Z4jEIHXnXh+FXItRPvkCwbfeR9etCxwtn5R5/ip/fdDW8oljhqJn8dXQa4Lwb9uBurWbymagmrTvxJHvuR5Qcs6fud1kfj5Wgl4r8fqaZKXvhAkrwbGFrhsRiSK4dVveeaJnTB0I7spaPsfnl69dha4btaUZoi+MujWvFFROplLs79Uxw4teZyqjQMZS/YYrl+MtVSYGdxERERHRAG33vv7Qrt6wpfnF0GYoP1gGaWizpfnjL70O9fUt1huk+KHcsgjySccbviyfPAWBv/8Oor97BMh1gSQYgHLbjQU/uE1ERERElck3ZSKk/++PkHjyBahvbTWff/ZFroR2pZInj4f0z99H/JmXLLVhgK4j8dLrULd/CWXpfEjDhsB39mlAbxjxp180X7y9C7HfPozAXbdC5LhZRURERERERESVw84gNbkCukox0E1qW5L1CyFw0UUXYdGiRUVvD1UHUVcLMWIYdJsdDZLkji7UvfCay61K13PdLGjNjVnT83UeqDS16zeja4W973Ht+s0etca57pvmAVruAcPceFDbyboiIiKyS68JVlwnQiIionJmFv5kJ/CoduNbBbWl76pL+sspUhhVJf+OHWyh4YWqlrA2IrdYDajpmzW9SC2iQghdh3w4d9hTJXAULOWB+ifMn1sOfvApgh98mvN13/5v0v72t+5L+7tv1vS0ewjKjq+g7PjKsCwdgH4k6Mu/ez98e76G0PWsMqzomzXd1rmDf9cehJ7dkHceq+eJuhCInH86at58DwAG/u+UW+GlWnNDWYZ2GYUmCl2HyBPEVP/0esNyYlMmQNm+0/K6qpSwUzcDbK0Gy5Zi3Vh5n5ntcmvd9M2aDkSjcPPJi1IFgpb6GNN435MlqTcTA1mpUAzuIiIiIiIAgLZrD6J3rwTCEUvzixHDELhzKUSjtZEH1B27kHjeRop0XS0Ct98IadyYvLNJ48Yg8A8rELtnJfTMhGVZgrLiBkijSpv8TERERESlJfl98N8wB9A0qO+8n3M+39Uz4J/pzcMUIhiAsnge1FNPQOyR5wAbo2jqu/Yg+h/3wL/oKshnnwbfpedB7+1D4qXXzZf95hCi96xE4Ac3Q/BmAhEREREREVHFyxXIVazlnUoNDNN1HZMmTcJjjz1WkrZQ9fAvugqxXz9Y1Dq75/eHcclt7Qg9tzHvvFpzI7RhQ4rUstKQ29ohwhHLDzKLcKTknYuMaEObPK/D7roiIiIiIiKi0rIS/lSMwKPMzuZdKxZBhCMQuQa9Tmmb2bULs+Ur9XdsOYaGF0v3krlIjB0JAPDt3o/6VWstL1vJYW1EbrESUFMpwS1UXewGS1Wq+LEj0XfZeah95W3TeQWA+NgRUD5v7f/7yPc2fuxIdC+eYyucJzFulO1lzFg5T9SFQO/cGVCHDSk4sAtwP7y0WKFdakMIclePpXndCk2U29pRY/OzroSw01IF2BZ73Vh9n6ntAlDwukk9B/B9trOgsjKVMhB0sBxj8mEgKxWKwV1EREREBPWLVsTuWQVEY5bmF2NGInDHTRChOkvz6109iD/8jOX2iCFNUO5YCumYoZbml4YNQeCHyxH9w2rou/YMTPcvuRby8RMt10tERERE1UtIEvyL5wGqBvUvf8t63XfFxfBfcYnhsno8AeF351KqfNLxCP7LHYg//jzU97dZXzAaQ3zls9C2fQ7/9XPgu2oG9L4w1DfeNV1U370fsXsfhXL7Egi/v4DWExEREREREVGppQZg5ZMroMvq8l5Itunaa6/F73//e7S0tJSsLVQd5MkToPzdzYg/+QL0/QeLUmcyjEsbNgQ9QiD07AbXOmpJhzoATUuf6PdBazIeTMtofj1Um7NDbVqnXklyLaxK9PRZD+4y6VRc7eysKyIiIiIiIiotO+FPbgUe9VwzE2pL88DfuX7n6zVB09+Xeqi24PZU4u/Ycg0NLxYtGDD8txWVHNZG5BZ1eAu6bl2Q8/V811+JvORFsJQVuhCehzZlCvxtu+V5fbu/NpyeGDfKOOzUJ+csK22ZvojlNpjJdZ6YDO2KT50E6eBh1+pyU759ol5b46jMvqsvAeKJo+Uc2a/6Wvfl3b7LKTSxnMNOSx1g63Td2N3X2H2fTtZLz/zZUJuP3qP16hwg17adGDkMncsX5l1Wt3m+n0upjjFe0NEf7JgUmzwOcnuXpX1L6Z6koWrA4C4iIiKiQU797EvEfr8aiMUtzS9NHAvltiUQFn9o6vE4Yvc+Cr2909L8YuQxCNy5DKIhZGn+geXq6xD4wTLEHnwK2ofb4Zs7E76zTrVVBhERERFVNyFJ8N90LaBpULd+NDDdN3M6fFfNMFxG/exLxFc9C+WW6yGNH+NOO0J18N+yCNLWjxB//HkgbP0Gr7r1Y2g798C/9Dr4F3wL6AtD/etHpstpn+9C7IEnodx6PYSc+8YzEREREREREZW3XIFcxVreqfr6esybNw/f//73ccEFF5SkDVSd5MkTIP/Lnf2DVf3yj0WtOz5+DDruWubaQ9rygbaskcvjY0eiZ8lcy/MD2Q94G3V20GqC6LxrmSvtLjpNg4hE0ybJhzoA7ch6kAQSo4cDkjTwelbImYvBZUREROVM9IYh+sLF71wei0Pq7E6bxA7uRERUSeyGP1kKPJLMuwGrLc3Qhg2xXG8+ek0QaktzQR2v5fau7HLL/Jg+2EPDUwPbnIS3VWJYG5GbeM2wyvjktEDMXPNUipxhVDmkHrN9u/ejftVaW/V1L5mLuqfXQ+R4xjly1skI/sX8+WU7RCRq69xFyrhXkMlK2Kkby+RjeJ4oSQOhXW5xI7y0e+EV0BrrAQB6QIFus2+nFbkGq8m3fec9//T7EB87cuBPoWnw7T3gWnuNlGvYaTkE2DpaN0e+D4H3PoF/937T2Z28TyfrRW1ucO23WS7dS+YikbL9plH8ntefKvkdlPf0ByLqAQUAIKIxiL4wAKD+6fV5y+i77DzEJxztb5MswwuZodcAIGJx6Er6IPd6MAC9vs7+voXIJgZ3EREREQ1i6rbPEbvvsbSk8nykKROhrPg2hMUfTbquI/7IGmi79liaXxw7CoEf3AzhMO1ZKAqU5TdAfX8b5DNOclQGEREREVU3IUnwL70OgA5168eQLzkXvnmXQ4jsh+O0g4cQu/9xoC+C6K/+CP/iefCdfZo77RACvjNPgXzcOMRWPgPts52Wl9XbOxH79YPwzboQvm/PhR6OQNu2w3Q57cPtiD+6Fv7F8yBSOq0RERERERERUXkbP348LrnkEsvzRyIRvPPOOxBCQNf1tP9ffPHFnrVTCAGfz4dgMIghQ4ZgxIgRmDRpEs444wycfvrpkBkmTh6SRgwrSj1pHR6DCqxE4YmuHohobGB5vSYI0d2L4Fvvpc+XUKH7fRApg26JeBzSwcMQ4QiUT77oHzk55dqe1twA+XD6IFpyWzvqV69D9+I5AID61etsvsvyJh3qQON9T+adp3P5wrSH2VNDzpKj2HvZCU8d0ojYicdlTXc6Aj0REZFTga0fo2bzVgDZ4Z5e8u0/aHgOUsw2kD25On6zAxsRVSKpvROhp17OO0/PgtnQmhtzLuOkY7dZ4JE6pAnywfzlOglayqdv1vSCrguEnjZejzym25fsVO5lmILa0py2DToJb5Pb2nn8p6qVdc7LcP+qpzU3omvFolI3w3VOgqVMA8wMiEMdeV9PjB4OuBzcBYNnue1y+3zKDdKhDqhjRgz8rQ1tMt3/2H0fboSX6sFAUYOCDNtgc/vWmhrSBsCRDh42vYfkhnIMOy2XAFu76yb5fQi890nOeVK/D8V6n2bfQc3BfjWrjjLsz5G6r7JLawgZ7kNEOAJl2xeFNAvh6dOgppQdHz8GCFoPBnM7lJEoE4O7iIiIiAYp9cNPEbv/CUBVLc0vnXoClJsXQvitn0ImXn4d6l8/tDSvOHYUAj+8FcJX2CmqkCT4pp1cUBlEREREVN2ELMO/dD6kqZMhn32aYWiXHo4g9vvVQN+RkaISKuIPPwN9/0H45lzmWvCVaGqAcsdSJF59G4m1GwBVs7agriPx8htQt38J/+J5SISj0HbuNl1Mfed9iNoa+K6dbfi+iYiIiIiIiKj83Hzzzbj55pstz79r1y5MnDjR8LVNmza51SyisiLqaiFGDIP+9UHP6sjs/GhV7ca3oGw/GtyvtjQjcs6pCG7dZrqs7+s2xx0MatdvdrRcLsnAq0JGgNeaG9C5fGHaNOWTL1Dz5ns5lnBHfOok9AKoe/5V9F59qauj2BuR2rugDm3yvB4iIiI7UsM9SxWyUQ5toHS+1n2oXb85b6AHw1mIqJRyBQvmI7e1mwcVJdSsv70MVLLC6XWHfBLjRqF78RzTfb1dPKbb1zdrOgBvA9aTdWROs1Nn6LmNAHj8p+pidM5bjHB/qkzSoQ5AO/ocb7WEGdoNc1SbGlD30p8h9DzDl8hyWiBYoecaaktz/vosllGOn1fDyjW2jq1O3kdyAJlCSH0R6AcPD/zt9vZvdG5vtw6zMqRItPCGWiBForD4xH/R2H3vXgXL+r5uQ8Jgul5bA73O/gA3md+HYnzGVr6D2pAm6LIEYbXvhwFd8TteNhez41i+39haYz3gQZtET1/B961jJ0wsebAgUT4M7iIiIiIahNT3PkbswafSfoTlI087Gf6l10HYGAU7sfUjJJ639uC/GDUcgX9c4Vr4ARERERGRGSHL8J1zuuFruqYh9uCT0A+0Zb2W2PBnaF8fhLJsPkQw4E5bJAn+yy6APHkCYg89ZVhvLnrrXsR+fh/8C66EHo1C3/eN6TKJTW8BwQD837q0gFYTERERERERUbliWDcNVv5FVyH26wc9K9+o86MTcls76l54zZWyzOopRHz8mKyQLRR6T9/ny3qoOiZJiJ14XNo0rbnBVrHJjnYAEFrzSt6ws9CaVxA+1JE2KjNgf2TmVD0LZmd3+ubzD0REVKZq129G14pFg74N1B9gYCXIg+EsRFQKVoIFq41b1x0yJcaNQteKRVkdtOX2LoSefrmgsnlMN5cZ0uFFkFq+IBCn4W08/lO1MDrndWOAAqpe8oE21K3dlBYgVS1hhnbCHMMXnI7QC6/nnUdtbkg7DxC9YdRsehuBjz531D65rR31q9Y6WjbJq/OpTHJKuJXlZWwcW+28DzfPm43ODd3Y/s3aaKWOcvt9UL9qbdnsG5yuG6+CZeuef9Vwenj6NEQuOst2ecl2FnMbsPodDF9yDmpfedvj1uSRSEBq70qbZDRgktrSjNiUCVC278y7/srh3D92/HjEJx6L4J//AvnI71c1VAvlo88B39G+7dFpJzkKgiPyCoO7iIiIiAaZxLt/Q3zlM4DFFHr5nNPgv/EaW6FaWutexFc9a2leMXo4lP/1PYZ2EREREVHZSDy3Htq2HTlf1z7ajugv7oPy3cWQhjbnnM8uaexIBH70PcSfeQnq5r9aXzAaQ/yRNZDPPg1qJAYc7jBdJPGnVwHFD//M4tykJiIiIiIiIiIi8po8eQKUv7sZ8SdfgL7/oGvllsuD97mkjmifyuzBdf+2HVCHt0Ab2mQ8Q1CBFvR+5OKc9dsQO20K9LpaAEBizHD49hzIO3/N5q1Z0zqXL3T8frXmRkfLERERlYLc1g4RjkCvCQ7qNlB/2Ird+RnOQkTFYDVYsFoU67qDXhN0/dhbqcf08MVno+b1d10ts+eamVnXaPRQbda6yRWk5pRRHZmSdfp277cdiMLjP1W6zHNehnaRmfjUSegF0sK7qiXM0EqYY/K8RKu1f2zX62oQnzi2P1wFgFfDDHUuXzgwQEjNy39GcOu2ot/HUf623fGy+Y6tdt9HMc6bC93+rbTRrI5y/X1QDvsGJ+umGMGybkhtZ7G2Abvfweg5pwIAal7bAqFqXjbNkNTelXcwoyS5rR01Zfb55uL/vBWJUccMhHYBgNzTh5p3PkibL3bCRAZ3UVlhcBcRERHRIJJ4ayvij64BrGV2Qb5gGvzXz7EVqqW3dyL6h9VAPGE6rxg5DIG/vwVClk3nJSIiIiIqhsRbW5HY9JbpfPq+b6B+tB3SJee5Wr9QFCg3zIV64mTEVj8H9IYtL6u++wHE8Jb+Dmq95g92JZ5bD6H44bvonEKaTERERERERERlTAivHosnKk/y5AmQ/+VO6L196Nl/AL29vQWVZ6XzYynpQiB8wRmGHc2kg4dzPqwthSOoW7sJXbcucKchsTikzm6DiiRXgrlS6aHarGmB9z9F4P1PXS/XC1JHV97nKfRgAHp9XVHaQkRElUF09yL41nt554mcf8bA8UM61AH5QFvejuiip8/TcxzJwkBDXreB8hPhiO0OmZUazkJElcdusGAp9cy7DEB/uIeZvpnnI3zhmWnTSnndwa3fwZV4TE+MGeF+meNH21oPXgSpmdGCAdvL8PhPlczonFfoOkJrXgHWvGK4TGogEA1eRuFdQHWEGeYLkEw9L5EOHnZUvjq8BV3LFwIA5AOHEFpnfo5UiMj5ZyBy0VlFPU6JcARyt/N7T0bHVq25AR13LbP9Pop53ux0+7fTxlx1lPvvg1LuG+yum+4lc5EYOzJtmp1gWbm9C6GnX7bdTiv6rr5k4P5Z5u+kYmwDRuvGiug5pyJ6zqmQ2jv7951CgtZUD8Ti8O9NH2hI9EUA+Wg/ba0+VHC7i6nzyP49l3zvRxci7ZiaqXv+rIGBkqSOroGwVSD7eExUjhjcRURERDRIJN54F/Ennrc8v3zxOfAv+Jath/n1aKw/tKurx3zmUC2U790IYXBRSd3+BbQ9X8M/c7rluomIiIiI3KB9vtPajKE6aN8cgq5ptoJurZJPPQHBcaMQW/kstO1fWl5OP9AG+H2A3w/E46bzx594AfD74TvvjEKaS0RERERERERlSOfDizSIibpaYHgLtG77HRLdkgzN8JLQddSt3YReIG84R65l3eLbfzBrpOvkA9WuB3fVBKG2NLs68rfa0ly0jj21z78G/+79OV+PTJuK8OwLi9IWIiLqP15D0wb+zheekdV5zSCgUuroQu3zr6VNkw93AFr/cVcPBtBzw7egNTXkrUMPKNAb+js6iUgUwa3b8r6P6BlTjwY/atrA+UGpCI2/RcqdWUfMfMsxuIOIvOQkWLCUQinBL5nh2ZnhL3pDyOrY20Xh1u9rub0rvdwih5FlnqNltseIVhNw9dpCMa8rFMJpWJtv116oLc1p5VTC+yVycs5brHB/Kg8iHIGy7Yucr6ujj4Fvz9HQlWoKMzQLkNRDteiblb9Pn9H3xe37AWZKMQiG09/TmWWkrX+fD7rPXuRHsc+bnWz/dttoVEcl/D4o1b7BybrJF+RaimDZVPmulxZjG3AScpu2fHPjQPBUUnT08ILKLDeOw00lCb1zZ6B2/ZuQwhHDWeqfXj/wm0M61AGh66h5s38wC4Z2USVgcBcRERHRIJDY9Bbiz7xkeX7fzAvgmzfLUmiX9vVBiMZ6IKAg9vDT0Pd8bV6BLENZ8W1IQ5uzXtJ27kbsD48CsTjQ2wff3Ms5EjgRERERFY3/pusghg1F4k+v5p6pJgj09EJ7413EwxH4l1wLIcuut0U0NkD5/k1IvPo2Ems3AqpqbcEjo81AEgOdAPLOvnoNoPjhm3ZyAa0lIiIiIiIionIxbtw4aCnhA0SDlSzLUBRl4G9N05BIJIrXgCOhGW4+TNxz1cWo2fJh2gPqmeFdyQASqb3TtXqdCM88H4nxoyH6wmnT9WAAKHAwhL5Z07OCwgotr1IZjYDODrRERNbVr1yT1VlIbWlG36zpSIwbBQDwte5D7frNacffnAGV8UTegEaEI0fv5aXIrCM2ZQJ6r5vl7E3h6PmB1ny0w5suBDs5VRGjc4BUqeFvRvNbCTUhqkRSeyeQUNPOiXnOXN4yPx+puzjRk5lBE14EtVRC+Isbv69DT7+cNS3zfMoLRudodrh5baFSris4DWsLPbcxa1oxPmMqjcz9sh4MlCQYpxQqJYSP3FW7frOt+QdLmLFeE0T0zJMKK8Ojc6FCyi2X3wZGv8nttsONADG75LZ2JMaOtDW/XZmBoeUe2pVUin1DKQIqS/Ebp1jbeiX8fstUKW3Whjb1X0df/2be+TK/7/m+/5Xy3mnwYHAXERERUZWLr3+jv5O/Rb4rLobvqhnWQrta9yJ690pII4+BOHYUtL99aqkO/43zIE88Nru8fQcQvWdVf2gXgMSGzdDDEfgXXQ1R4IO7RERERERWCEmC/1uXQhoxDLGVz2Q/OK/4+x+oP0L9y4fQw1EotyyCUPzetOeyCyAfPwGxB5+CfqDN+sJWR7LWdcQfehrC54N86gnOGkpERERERERERFRmamtrUVt79KHdcDiM9vbiPuDvdjiGOvIYdK1YZBzUcOSeunygzfXAMCdqN7yJ2g3ZD2B3Ll/ofETmIxLjRqF78ZyCOugCld3J1KyDciW/NyKiUpPb2lG/eh26F88BAMNAB625AfKhDshv/CVteuJY+/tdX+s+VwMpk4SuQz7cH+SptjQjfMEZZXGOQIWxGlKSDH8rNNSEqNKEnnrZ8vbOc+bSyrV/UjNDMT1gFMziNNDITh3lyK3f15lSz6e8+I65cf7kxnuvxP2IW4FlXn/GVHy59suRaVMRnn1hiVpVXJUSwkfucfv4T+m8WL9WzrGSg5sMtCOgQG7vcnw9PSto1oVBU4yCT83akalYgbep6lettdTGQq5FGAWGFlsyOMxO++UDh0znMQuYtju/3VB2J79RUutNtsfp91r0hSEdPGx7uWLsoyvl91umXJ9H+IIzEDvxOAD9668cvlf52P3OVernRdWNwV1EREREVUrXdST+9CoSL75meRnf1ZfBf8XFluZVP9+F2O8fAaIxaF+0Al+0Wqtj9kXwnX1a1nTtwEFEf/NQWggCAKib/wqEI/DfdB2Ej6evRERERFQc8hknIdDSjOjvVwOd3f0TJWkgZDaV9vFniN2zEsp3F0N4dBNAGjMSgR99D/FnXuo/R3abpiH2xyegfG8x5BMnuV8+ERERERERERERuUavCeZ8IDk+dRJ6AdSteQWZw3VFzjwZ2pDGo+VU8GjEiXGjcoaYWen8YHf0+nJipYMyO9ASERWudv3mnK/JhztRs3lr1vSeI52M3KrHCt3CAJ1AyjnC2k0F1WdF9KTJAx2uAACSyApi0YMBz9tRbeyGlHgVCkdULXjOXDql3j/lCmZxK9AoXx3lKN/va7m9K2ewhBW16zeja8WiQptoWK4bCrm2UKnXFdwOa/PqM6biKvV+2StafQg9116eNk3ZtgPKZ7vSplViCB+5x83jf0WJxODftSfvLPHxY4CgUlA1bq/fzHMs0dWD2o1vpU1Ttu9M+1sd2gT5UEfeco1+G5QiCNvOb5TaF98oUqvSmbWxGo4pye3MzvsIrfP+eluh7PxGMdr++2ZNR/TMkxx/r4PvfYLge5/YXq4YKun3WyajzyP41vtQW5oRnzoJ2tAmdPz90qzllG1fGA7AVAp2v3OV/HlR9WLyAREREVEV0nUdibUbkNhg/aaU79rZ8F92gaV51W2fI3bfY0A8Yatd0mknwnfVjKzp2oE2RH/9IJAj7V3d+jH0SBTKrddDKIVd9CMiIiIiskoaOwrB//U9RO99FHrr3rQRmDJpO1oR/fUDCNy+BKKh3pP2CEWBcsNcJCZPQHz1GiAac7cCVUXs3keh3L4E8uQJ7pZNREREREREREREtvXMnw21uWHgby3l3wAgesMIbP3YcFltSCPkw+kjv/tb96JrlrXnArzidlhYvhAzK69XIjsdlNmBlojIOS86ZmrBQP9gQUeIcKSgeuJjRyJ6xolpZead/0h4l9X5HQsq7PTuAbshJW6FmiRZDYkjqjQ8Zy4+t/dPVpkFs7gRaFTJ4S9e/H6W29ohwhFXyy30/MnIYLu2kBpY5tu1F6HnNjouy4vPmIqvVPtlzwUVxE+YmDZJHTYE4YvOGvi7UkP4yD1mx38tc/vw+vd0kUjdPQg9uyHvPJ3LF0ILDimoHrcCI3OdY4loLCuoK5PU0WW5nuRvg1KHT1n5jSL1Zg9YYoXaWA/oOuSuHkfLJ+VqYyUfUzK3MzfDTkvJ7m8Us+3f7SBYt6gtzYhNmQBl+07L7ark329JRp+H0HXUrd2EXvRfD9Zra9KW8W/bgZqM0MNSsPudq4bPi6oXg7uIiIiIqoyu64g//SLU196xvIx/4VXwXXyOpXnV9z5G7KGnADV3aIERMXYklKXXQWRcpNS+aUP01w8AJhd8tG07ELt7JZTvL4VQ/LbqJiIiIiJySjTWQzr1BKite03n1fd8jejP74Py/aWQjhnqWZt8006GNHYkYn98Evqe/e4WHk8g9rtH+sO7Jo13t2wiIiIiIiIiIiKyRW1ugDYsd8cY0RdGzeatlssrdWdKtaWZHeEKZLeDst3PXIQjED0pHX58MrTmRrvNJAeS616vrYFeV2O+ABEVTDrUASkccbVMdURL3tdjU4+DNrRp4O+0fa4B/7Yd0BpCeeeJT52U9rdZSGbm/FQZ7J4DiHDU1c6TakszwhecUTWd1IlSlfp30mDjRuhSZsi1FVaDWVIDjTKP06llmL1eLdwI3xY9fe4Gd5mcP1nhdqh4pdJrgkiMH11wOW5/xlRcXoThlbPU32NESTmP/5LEbcYFhQZGdi+Zi8TYkY7rFzb6PyZ/G5Q6fMrsN4oIR2y9r6Sum+ZBHTPiaBkp27vc1m7rszFqY7keU3qvvhR1z7+aNk1takDPgtnwf/EVal7bgu4lR9dNUnLb9e3ej/pVa4vYYvc4+f5Y2f7Lbd2kvs/IRWcZ/l7LVE2/3/Idx4yow1vQdeuCrOlaozeD1yd13zQP0Pr3XUbr3+rvcaJyxOAuIiIioiqiaxriT7wAdfNfrC0gAP8Nc+G74ExLsyfeeQ/xR9YAum6vYY31CHx3MYSiZL/WGwaiMUvFiDEjAT9PYYmIiIiouORxo6EGFEvnrfqhDkR/fh8Ct98IadwYz9okDRuKwD8sR/y5l6G+vsXaQg31QFe3+XyxOGL3rILy/ZsgHzeusIYSERERERERERENUm50AjUrw0kdpexM2TdreknqrSZOOihb+cx9rfsMR7FWW5rRtWKR7TrJusx1H54+DZGLzipxq4gGCc1aB0e1pTlrmlEnRLWlGVpzI9SWZlc6Kfq37UDd2k3ounWBrTL1mqDtNljuDBWJQeo2GKDTaWfmRAJSe1f+Om2SDh5O+7taOnXZPQeQegsPNcnE0DcqV9KhDsgH2graRhk6Uzxm+zP5UIdpGWYh127Qa4J5twmz16uFk/OKTFIkCvuxEvnLKwRDxdO58RnLKedzQPWcfw0WZvtlZdsXiJ55sufhRVJ7J0JPvZx3np4FsxkwT54aLMf3Ukkec+zSggEPWpOb1NZeFuFT+X6jOA0yTd2XZ27vbtxvciNg1QtawJ890SdDGzYE0WFDoDWE8p/7e9g2r9n9/tgNXyv29zOXzHYM1v251fddqlBKq/UO1s+PKhtTD4iIiIiqhK5piK9eA/Wd960tIAT8S66F75zTLM2eeP0dxJ/8k/2G+X39oV1NxiMbSRPGInDHUkTvXgnkuZEmn3s6/NddASGE/TYQERERERVAPn4iAj9Yhujdq4C+sPkCvX2I/vpBKLcsgnzS8QAAdfsXkI6f6Or5rPD7oCy8Curk8Yg98hwQzvNgmuJH4O+WQf3bp0istTAiUmp418RjXWszEREREREREZW39vZ2fPDBB2htbcWePXtw+PBhRCIRRCIR6EcG9xFC4L777itxS4ns8/l8qKurG/hb0zSEwxau9zlUaMdHKx1JndThWmfKlOAO0dmVd1a1pRl9s6YjMW4UR0kuAbNO0r7Wfahfva5o7aGjuO6Jyl/n8oVZwSDJQC2RMfhlMqCyb9Z0R99tXYiBMpXtO+H/bNfA33bLtDu/su0L1K7fnDU99RgOAP5dexB6dkNWu3vnznDU4Utq70LjfU/mrdOuzPLcKJOsKcV5nlGdmbTmBsCXu+tUMdrNc+D0UL187930M/XJ2YEdmoa6tZvQ60ZDKU3q56HX1kCvqymoDCD7NymVP6fnNkn1q9a6cizOFThtF0PFsxX6GYeezg5b4vmXe6RDHWmhw5nHUbNjp9P990D9kail0OO0dmYE+0odXQg99ieIZH8hSUAd0pS2fPTcU82/3wl14J+m5wxOw4WJrEq5Pp733D4Sg+9A29G/JQE1Y9vUgwFA09KCrTPZOYfWGusBxSCoqAw4CYfKt4wbA6hk8h045HqZTuQ7b3ZyTm12z8nR/aa29or4bauZBMaZhkBXcF9Wu98Rs2ss/m07oA5vGTjGevEdJCKqRAzuIiIiIqoCuqoivvJZqH/90NoCkoB/2QL4pp1safb4y28gsc5C534DyrL5kI7Nf8NFmjAWgTuXIvrbhw3DBqRTT4D/23MhJMlRG4iIiIiICiWNG4PAXbf0n7N2dpsvEIsj9ofV8H97HiBJiK98BtJpJ0JZPA+i1vmDMEbk06YiMGYkYn98AvpX+wzn8V8/B9LwYZBmDQNicSReet284GgMsbtXQrljKeQJY11tMxERERERERGVh0QigXXr1uGFF17Ahg0b0Nramnd+XdcZ3EUVy+/3o7HxaAfvRCLhaXAXUFjHR6sdSe3W4VZnSqPgjrQymxoQueAMxCePg14ThK91HxrufSJnp4/B0qGz7+pLgHgi5+u6B6OTm3WSNgpqoeLguieqPEahXZn72MS4UehePMdWsEQy/ErZvhPK9p0AkFaH3TKdtMGI3NaO+tXr0L14juExJNlu0w6OLtZZLmXSUWZBKl6c59kJbzEK4LNSRjFCZgbLOTCQHaqX+d6tfqZqSzO6VizKmi503TBUkZwx+jzC06chctFZBZVBlcmN84pCj8VuhB4Ppn2uXW6dO6bi+Zd75ANthr9BYlMmQNm+0/Qzs7v/dirZTgDZwb7xBOT2zrT5pd7067LRaVNt1ZcrfDhJqwmi865ltsoksiPz+niu40zg489NrwF2Ll8IwDiIOpXVc+hy3vc6CYeqX7U25zG80AFUjNRueNO1sgphdC+nEFbuOdm+3/Rcf1/T5Lap1ZZfgJfa0gxtSJPt7SQrEK+uFlJv/lCrcmNlgCA7lE92QN77DbpuXTAwzYvvIBFRJWJwFxEREVGF0xMJxB58CtoHn1hbQJag3LII8qknmpet60is3YjEhj87aptvzkzIp1m7gC6NG4PAHcsQ/e1DaeFd0kmTody8EEKWHbWBiIiIiMgt0shjEPjhrYj95iHoVm4waTrijzwHHDmX1T74BNHd+6HcshDSuDHutm1oMwI/vLX//H3TW2mvyeeeDt85pw387btqRn94V8Z8hqIxxH77MAJ3LIXE8C4iIiIiIiKiqvHNN9/gP//zP/HAAw/g0KH+kaN1Dzq3apqG008/HXv27Ml6bdq0adiwIXfoD1E1cNLx0W5H0nLoQGtYZkcX6l54Dd2L5wCAaWePwdKhU2tqcKUcXQhboQS51q8IR9ihokS47olKTw/VIjLtJCC5PxUivXP5kXlSqcNb0junhWoNO8Alxo1C14pFWZ38jAIaU8OvkqFdRgzL9OfuDpI2fyR7ME07atdvzhmUE1rzCrDmlazXcoUlFVpnIbwos1ypLc3o+u71adOMgueMlrMaAgFYC1Jx+zzPjfCWYrS7FOumkqS+d8D894IVDO1yR7G+Y/kUegwh9+U6t5Hbu2yFSjg9FtsNPe6ZPxtq89Hf37nO2egotz7jTIPp/Msr8amT0AukncfJbe2oKaNrCqKrB8r2nQPtSw0kBsDrHzQoFOPc3otz6FKwGw5ltm4LGUBlMLBzz8np/abkZ2R1QJpiSrbJ7nZiFhBZCdz+PHx7DuSsh99BIhrsGNxFREREVMH0eByx+5+A9vFn1hbwyVCW3wD5pOPNy9Y0xJ/8E9Q/v+uobfJ5Z8A360Jby0jjRiNw5zJEf/MwEI5AmjoZyq03QOR5wIiIiIiIqJiSAVnRe1ZB3/O1tYVUdeCf+uEORH9xP/zzZkG+9DwIIVxrm/D54L/uCkiTxiO26hmgLwIxYhj8C69Kn08I+K6dDT2esHa+H40hevdKBO5c6nrgGBEREREREREVVzwex09+8hP893//N8LhcFpYl5XrFHbDvSRJwtKlS/HjH/8467VNmzbhs88+w/HHm9+7JKpkuTo+GnHakTRZh2/3ftSvWuu0qZ4FZJS6DZVKdPWgdmP6AAwiGoMOQB3RAqm7F5LJNpUpc/2abZNyWzukQx1ZQTZUOLN179+2A+rwFq57Ig/pNUGEZ9vrwGb3O6nXBPMf2yVpILTLtTILnN+I3NYOEY4UVIbTOt0M2fCizHKSGlKiB5Ss1zOD5zKlnotGLjor/fzVZzzwqp1zPbfO89zoOFuMdpdi3VSicugIrbv43EY1KPZ3jCpLoecVTo7FTkKP1eYGhr855Ma5Y6pqP/9ym3SoA/Ur1xi+5llApd+H+NiRaZPkwx2A1l+fHgxkBQZnXrOS29ohH+oY+DtfIHE+uhDQmhsgH+50tDxROSjGuX2ln2s5DYfKtW7dGNykGvVcMxOJ8aNtH4MLud9kZdvsXjIXiSPHHSv3zYzooVrI3xzO+5lnBpYNpu3E7gBBhRpM65aIKBcmIBARERFVKD0WQ+zex6B9+oW1Bfw+KN9bDHnKceZlaxrijzwHdcsHjtomnXAc/DfMcRRCIB07GoEfLEPilTfhv/EahnYRERERUdkRDfUI/N13ELvvMWifOXjIRNUQf+YlqJ/vgrLkGoi6WvNlbJBPmYLAP92O+Oo18M+/EsLgoWwhBPwLvwXoGtTNfzUvNBJF9LcPI3DHMkjjRrvaXiIiIiIiIiIqjo8++giLFi3CZ599NhDAlXk/L18wl9MA8ttuuw0//elP0dPTk1XPQw89hJ/+9KeOyiWqNG53fDSiBQMFLe9VQEap21CpRDSWs6Ojb/9BR2U6Wr+alvdl6VBH2jyGAXSRGKTuHuTiNLSuEqSuH6vv079tB+rWbsobrlJtLG1HJZbZkawc20iVRxvaZBoGpofcvZdoRErpZJ+L3Y6UZu2WDnVA+ST/s4+ip8/W98zq+6jW765ZSInbwXN2g1TcOM9zEt5SaBnFCJkZzOfA5dCpt3fuDECSSt2MslCK7xhVNifnKXaPxU7DHMgdbqzLaj7/KlgkBv+uPQN/ygcPQypyYK7W1ICeJXNtLZPvmpVjQqB37gzIhzpQs3mru2UTFVHmub0uuR8SWw3nWolxo9C9ZC6afvmQ5WXy/W5Khk1J7Z1o/N1jbjbVkZ6rL0Ho+ddK2ga1pbmg42+h95uslFvIfbN8g+bkum6btkwk6qheAFCHNqHv0nOA5H11IaA1NaTNI7e1I/TcRsd1WNFzzUyoLc1p00p1zdrOIEZm5PYuhJ5+2aWWEREVB1MQiIiIiCqQHo0i9vvV0D7fZW2BgALlthshTxpvXraqIr7yWah//dBR28SoY6DcsghCNh5hzQpp7CgoNy90vDwRERERkddETRDK7UsQX/Wc43Nn7aPtiN37GAJ33eJy6wBpSBMCdy7LO4+QJPgXXQ3oOtQ3LTzsEo4i+tuHELj9JkgTxrrUUiIiIiIiIiIqhueeew433XQT+vr6oOt6WghXaliXnSAvqxoaGrBixQr8/Oc/HyhfCAFd1/Hwww8zuIvIRdXSmbIc2lAMbnRgcELq7IZqp5N0NAbp4OG0aamdP+QDbahbuwki5ZiROaK7f9cehJ7dkLeeYo8CXyz1K9ekdbpNvk+t9uhnoAsxsP6UT76A1N6Vtj6rTiyeFT6nfLIDgfc/TZtWLtuEr3UfatdvzuoU2TdrOqJnnlSiVpFdmftcrT4EBLMHvyk3hXaytMzlfY6ldmsaat58z9V6zcImyV1OzmMKPc9z49ypGO3WhYSeay8f+Fs+1AH5QBtiUycBAJRtO6B8tqugOiqFdOS9e6nQ30HxI58LmX8//Nt2QB3ekjcI0I3vKUOXKodeE4Ta0mwrQESKRJE8Ylv5XSy3d9lqU9HOnwYJJ59xJqPPkEHI/aTuHtPrJVakhnYUI9DHyX46duJxeYN7E+NGQa8JQn7jL67WS+S2gfPbPMGvqef22pAm0zL1UK2r14mVT3ZAC9XmPWfThg1B+z9/z7U6nfDkt1lCLaBF7tGaG/O+HjvuWChffOVpGwrdZ1bKPtdJ+FehA+3IhzqgjhmRvwzZ+3DoxPjR7p9PSRI0szLz7P+KMYgREVE5YnAXERERUYXRwxHEfrcK2pe7rS1QE7DcsV5XVcQffhrq1o+dNa6xHoHblkDwBzYRERERDQLC54N/6XUQjSEkXnnLQQECvnmXm8/nISFJ8F8/B9B0qG9beDA+HEX0tw9DuX0J5OPGed9AIiIiIiIiIirYE088gZtuugnxeBxCiIHwrGQolxdhXZluvfVW/PznPx8oP1nnnj178O677+Lss892vU4iM5IkobExvfNEZ2dniVrjDjc6U5L3coUAZepc7s2AZ1J7F9QRwyzP37ByjeH0ZKhSfOok9AJp4V1yWzvqV69D9+I5lkOXnCxTiZLvs2/WdAD9oV29c2eg5s33ILe1Qz5c2fshK6TObtSvXmc6XzlsE77WfZbaSuUr1z6359rLET9hYolaZV1yX+G2zJAMkRIw6Aav2l02IjFI3T0Df7odPGEUYmI3tKRcpb4PbdgQ0/kz10Wp1oOVetMCAYNK2j5GPXgYDX/+K2JHpvk/b3VUR6Z8216xQ2L1gAK9IZT9gqahbu0mb+v28HeQ6OqBiMaM663A0Bmz7SLfdpgMmO26dYEXTRvA0KXK0zdruq1z5vpVaz1szSA4DykBu59xptDTLxtOL5ew5krXuXzhwHmVf9uOrHB1L9g99qotzdBqAnlfN9v38/hAZePI+W18sjvPzya3baNztPAFZyB24nFZ0+W2doSe25izzMD7nyJy5smutK/cmP1uKoffzmpLc97QNACInXI85M5uz+7luLHPHMz3m6RDHVA+2ZF3HtMQOdVeuLza0gzoOuRDHZbnz6w/9fee1lgPKH5bbQAAbWgTOu/KP3C415yExlVK0ByVlqIoqKmpyfl65nMzRHYwuIuIiIioguh9YUR/+zD0r/ZZW6A2iMAdyyAda34zQ08kEHvwKWgffOKscQEFgdtuhDBJhSciIiIiqiZCkuC/9gqgoR6JZ40fMspFOutUyBYCdr0mJAn+b88FdB3qO++bLxCNIXb3SijfWwz5+PLv0EBEREREREQ0mL311ltYunTpQGgXYBzYlZxWV1eHE044AUOGDEEgEMC6desghCg4zOukk07C5MmTsWPHjqwHHjds2MDgLioJSZJQV1eXNq3Sg7uAwjtTKp9+CTWlY0B8/JijAQQeiU2Z0N8p4Qi9NvdD05XOzRAgHUChj5DrtTUIT5+WNk0+3AHRE4Z/9/68y6aGKhmFdwFA7frN6FqxyFabnCxTiWrXbx4I7YpPnYSaNy0MrjFIlXKbqF2/uST1kjsqOXjNqxADq+GRAKBldj6UJNNlBkv4gn/XHoSe3ZA2zY33bufzKQWpvROhp47eE3fSztTgjvZ//l7O+cptXeQKHEllFggodB2hNa8UVIeRzG2vVOsuNmUCeq+bZfia1+EhQOG/g3Kp3fgWlO07c75eKfs9N7aLnAGziQSklICEQrc9hi5VnsS4UehePKfk++1K+T5WIq8+43IIa64kiTHDETtxUtb0ZFBFsUK7kuwce/tmTYd/+5d5X7dSBlG5ELoO5bNdrpSVb9sOvvU+1JZmxKdmf/cHK6e/m4qpb9Z0S6FXXv2GSZbtVjmVem2tIJoG354DRa2yb9Z0SJ3dqHvhNcvzJxn93qvk8ysnAaEM9yQrfD5f1rMBRG5hcBcRERFRhdB7ehH9zcPQ935tbYFQLQJ3LoM0eoR52fEEYg88Ae3D7c4aJwkotyyCNGbkwCRt/zcQI4YxaZiIiIiIBgX/ZRdANNYjvvIZy6PkaH/9GxJTJsJ3zmket86ckCT4F88DAGvhXbE4Yr97BMqKb0M2eCCIiIiIiIiIiEqvo6MDCxYsQCwWyxnapes6RowYgTvuuANXXHEFpk2bBlmWAQCtra1Yt869h7EXLFiAn/3sZ4bBXf/yL//iWj1Eg12hnSlrNm9N+7tz+UJowSFuNc9Q+MIzoQ3zto5y4VYIUGzKBEjtXfB9c6igcvS6GkQuOitresO9T1guo27NRkQu6A//Ukcfk9ahRW5rhwhHbLUpucxg6GgRvvwCdryzoFTbhAhHyiYwhpypxOC1vpnno+/KizzZ3u0EmfVefSlipxyfNV2rq0Xn8oWGy+ih2pLvu7X6UHogpSRBHdqUNY8XCg2eqIiguYRalP1isdaFLgS05obcYUQVInXbA1D+25FHShUcVAmhM15/p6T2LjTe92TB5TB0qbIlxo1C14pF8O3ej/pVa4tef/eSuUiMHWk+IzmW/IxFOALR0zcwXW7vKjhEZbAEeBdK3vsNtGknGV5HKHZoF2Dt2Ju6bzcK7rKy7+fxgaqVlW1b6Drq1m5CL8BriBUg8zM1C73y4jeM2/vMcglorWapn5l08LCt+YEKuZ7kgN2AUCKiUmNwFxEREVEF0Lt6EP3Ng9D3H7S2QEOoP7Rr5DHmZcfjiN3/OLSPP3fcPv+iqyFPnTzwt/rBJ4g98AR8M6fDP2em43KJiIiIiCqJ78xTIEJ1iN37KBCNmS+g6YivfAb6oXb4rryk5KG3QpLgmzsT6nsfA7G4+QLxBGK/Xw3l1ushnzLF+wYSERERERERkS3/63/9L3z99ddpIV2p/w6FQvi///f/Yvny5VAUxfP2zJ8/Hz/72c8G/hZCQNd1vPXWW4hEIggGqz+ghahYcnambGtH6LmNrtQRHz8GncsXulpmtbMbAqSHavO+3nfZuWh49AUHDcl/LdpuO6XecN5wnNRt0CrR01fy8JdCSYc6IB9oyztP/Nj8HcuFqiFk0um97+pLoDU12G5fKZlt20ZKsU2YbbvKJzsQHz8aWkYoEJWHSg1e0xu8CZUC7AWZBd/5wDC4C0HFtUBPrbkhZwhY6jy2BBXDQMpicho8UYlBc14pdF30zJ8NNWXbMdqOdCHQO3cG5EMdWcG1laqat6G0z9Qn55wv1+8gID1c0Oj1QpVz6Ew5bhuZ39NyCH8kd2jBwKCqdzDSa4Kuf18HU4C3Ez3XzITa0tz/hyQZzqMOb0HXrQsMX9Nra7xqmuVjLwBEzj8D0TOm5nw9KTrtJMROmJh3HgCITT0u/3WVHOuKqNgSI4dl/fY12rbz/kbm9uyq1MBPEY6g6ZcPWVpObWpA+ILToRr01TT6TK2EXiX3o/Ker9Gwcg10ASSOHQV/677+cgUgjmQyds+fBa25MWf7vDqnTt3X+3bt5f2gAoTPOw3Bdz4Y+Ey7bpoHdcwIS8uqTQ3ovvnarM+4HH/vucFuQCgRUakxuIuIiIiozOkdXYj+z4PQLY6SKpoaoPzgZkjHDDUvOxZH7L7HoH2yw3H7fJdfCN/0ow+7JN79APFVzwKajsTLbwABBf5ZFzkun4iIiIiokshTJiJw1y3/f/b+PFyK+s77/19VvZ19gcMqCApuqLjHKO4IRoVIABdcEyVmj8nM3PftnZnfzHzn3pJ7MnPPZDMmmrijEQkKahQVN9C4oMSIqCAgiiIHzr70UlW/P/AcztJLVXf1cs55Pq7LS7q66vN5d3V1bafqVYreep/U0uZqmsTjz8rZ16zQ5fNkBIt3ytaxbcXv/qO70K4elqXY7Q8o/NXFChw/I/P4AAAAAACgIN555x39/ve/HxTa1fP/mTNn6g9/+IMOPzzJzfh5cuKJJ6qsrEzRaLTf8Gg0qo0bN+rUU08tWC3ASDHwZspswnJSTvN5cEc2bbruY5jxGg7glJfJaqhPeVOCU5ndfLMyhAz5HWKQTE9YRnzGdH8bTiRkNrUm79NjWINdWy2FQynf72nDrq6SypIEYNq2KletleE47uvvw2qolxMwFdr5SfoR44ms2k8l47wJBgbdIGbubZZsu88Ac1CYVb9xTDPpst15/umKzZiWtFunBG/ED360u//nTmLgvEl2A53Z3Jr2eyx2kEWqZSKXutzc1J2rjMFrm7bIGjNqxASveQ0yK0h4QjAoe4w/IWClJJt5N1SD5vLBj3lh1dekX7ZMs3c/JPDCazn1VUqG8zKU8TsdIFOozEgKnSnV9YvX7xRDR7GO70fKeYVS5Ne8Hw4B3vliNdRnXGcW+7jGzbbVqa6UU12Zua3KcjmVmcPG8rE9B/IiHHK33+PhGNkeXafm71+TdpxSPJdWKvoGfjrlZRlDxaXsz1ulCji0q/sHtzuRcO85c5lmb3CX0efUsl1fW9R96J6/V4wIpinHMPqd27cHfv+ZAvVMU9Hjj1Tkzc29g8pf3thvFCfi/sFagebBf/co1eM9v3gJCAWAYiO4CwAAoMTZuxvl7G12Na4xqk7h710nc3TmEyFOLKbYb++X/e4HWdcWOPEYBeed1/s68cKrii9/VOpzYiix6mkZkbCCZ3GhPQAAAEYGc9IElf3NUkVvvU/Ort2uprH+/KacvU0K33C5jCxvtspV4vFnszs+sG3F7nhQoWsWKnjSsf4XBgAAAAAAPPvJT34yKKzL+fzi4sMPP1xr165VfX1hL642TVPHHHOMXnvttd5AsR7vvPMOwV1AAWQKghrIaqjPfNOdxzbd9uEm7KZHqV60P7CuQIpAqXQ658xS9bLVfpaVltHRVZAbPQzHUeWqteqQfA3vMptaVXv7cl/aar/oLFkTxg4aHtj1mcpferP3RpmOi85SbOaRSdvINrRL2v/dF1Jwx660T6/vYTXUq3Xppf2GBXY39oaU9dxgNvCm4Z5xJKlj/rlJl+3yp1+SXVHmf6BbEfWdNz2shnp1zpmlxJSJkqSKR5/LGNA2cJpCCm/aqoo165K+57WuTMtZIT9n+L3t6jrz5MwjDhPZhDKWVHiCbe/fN+grSUhgNrzsc/SMH96U/kGpXuedX6GZ+Q4tKUQoih/zIlOd9ui6godbjORAmZEU9FtS683P5SOUd+D34WtANIa8XM8RZMPNuQvkj1/fudkdVfpYZAAoDfaYUWq6+cbiFmGacioyB9whuYH7ooUIw8oYNtgnYDq0Ofv7PPNtpBzf2aPr1Pzfvp5zG7GjpvcL7hqo77ww9zYr/M7WtG0OPObMdLwX2rRF1riGogd85oqwTgBDAcFdAAAAJS5wxKEKX3+pYrf/Ie1TGo0xoxT+7nUyBzzVMhknGlPsN/fJfn971nWZhx6s0FWXyDBNOY6jxKPPKPHkC0nHjS9/XIqEFTz1hKz7AwAAAIYSo75WkZu+ptjvH5S9Of0f0nrYW3Yo+m+/VfgbV8ocNybPFfZnvf2eEk88n30DtqP4XQ9J0ZiCp5/kX2EAAAAAAMCzzs5OLV++vDccq29IVl1dnR5//PGCh3b1OP744/Xaa68NGr55c+qLloFCamho6Pe6qalJlmUVqZr88BIE5TY4KJdwqVR9uAm7KaUAmL7cBiC5kZgyUW1L5iVtzymLqPvEGf2GhTdtldkdzbq/yIa3Vb5uQ9bT9+WEQ3ICgZRPns9XeJdfqh5zd8688rHnVfbKW74ta32XW3PPvpzbcyO4Y5fr37DR1a3I628PGm4dNFbBj3bLOmisEodM6veeuWefqh55pvd133/3a7vEl4lsxGdMV4fUb30WaGxS9bLValsyz/Uyk800heClLjfLWal+zqFo4Pojm/DIQW0OCLhKJl/BmUZ3dFAwY/T4IxU7qv+6IjFhjBQOeWo76T5HXY06Z5+mxGFTBk9g2wq/tz19my7mt9/zqhChJcUIY/GqVMNbhsK8y5d8Bf2WolIMnTGiMV/bS/Z95CMgGkNboQOoCx16jMH8+M6r711V1MBiAEDh5XIeO1ului/qJmC6FAKvRtLxXb4Nmhe2rfL1b/jWfvidLQpvfFet1y9K+n7Kvz34FJQPACMNwV0AAABDQODYIxW+bpFidyyXkjyN0xjXoMh3r5NRW52xLac7qtit98re+mHW9RhjRyv89StkhEJyLEvx+1fJ+vObaaeJ3/eIjHBYgROOzrpfAAAAYCgxyssU/saViv/hUVkvubvRyWlskv3utqTBXU5Ti2LLH1PoKxfIbPD5CU+GIZWXSV3d2bfhSPH7V8np6lZoNhfFAQAAAABQLI8//rg6OztlGIYcx+n3/5tvvllTp04tWm0zZ85MOvydd94pcCVAcuFwuN/rvsF3w0W6IKgeXm+UdNOm1z4yhd1IKskAGC8BSG4lpkxU69JLZXR19z5B3YmE5VRXqmvuGf3GjZ50jGTbCn6yR2Xr31CgOfeglmx1XHS24kceKkmyKyvUcsPi5COmCPYaSvxY1toXzZVTFnF945JdFvEtiKFizTrX45odXUnHdwxDsekHK7R1p8y9zTI/X1YlKfD5TUCxw6dKUtLAm/ZLZstq+DxYtFSWCdOUPeD7MPv8HcUxDFe1JlufSfvne+vSSz2VlM00heCmLi/LWal+zqFkYMiVH5IFXCVTqMCFyJubFXmzfwBwyw2LZY/x9nfUA7/RZ2R8/tECza2qfuiJrNfrVSuedDVe77w6aGzS7WT4na2ub9osVGhJocNYvCrl8JZSn3f5lI+g31JUiqEzoW0f+dpequ8jHwHRGLqyOUeQjVL7vY1kfn3nIzHI1x4zSk0331jsMgCgoPx88IVXQ3VftJQCr0bK8V2++T0vHMNQ1+zTVPHUekkadM5soGTnDh3DUMf8cwnuAoAsENwFAAAwRAROOFqhhKX4PSukPte+GBPHKvKda2VUV2Vsw+nqVuzX98retjP7QqoqFP7GVTIq9ye1O82tsv76bubpHEexOx9SZPwYmRPGZt8/AAAAMIQYgYBCV8yXMbpeidVPZxw/MOtkBc48ZdBwx3EUe2C17E3vK/ruBwrNP1+BM0+R4dPNK4EZhynydzcqdvv9cnZ9llNbiYfXSF3dCl583rC8sREAAAAAgFL33HPP9f6777H5uHHj9IMf/KAIFR0wceLgG64cx9FHH/l7IymA9JIFQfVwqiqyugEkXZsDue0jXdiNF4UMgPFa20DtC+fKqq9J+p5TXpZxvvXcUBEbM0qxmUck/T7sFO3nVVlYdpnPD6QoQX2XNaeqIuPNN05VRe+/7fpaT33FZkxTYtL4nEOujK5uX26SMxxHwY8/k+E4qrnnkaTjJAvs6mE11HsO28k3e3SdWm661vX4ZlOLqh5KHdYzMOwo0Ngkw+MDVXqmKZUb9Xpkqsvrclaqn3OkS7VdHqiUAxfMvc2qTraOsu3e0K6+8r0PkW5ehTZtUdlLb2Zso9ChJYUKY/FqKIS3+D3vrFG1ih01rfe1YVmKHzJZdsWBdaeX8Ld8ykfQb6kq5XVgLjJ9H/kIiMbQ1nOOILjzE1Xfu8rTtOmOi3tke+4C+ZPuvFCgqdV1sKlEkC8ADGf5ePCFG0N9X7SUAq9G0vFdPuRjXvQEbiWmHtQb3JVtG/EZ032rCwBGEoK7AAAAhpDgKTOlRELxZfsvHjEmTVDkO9f0hmil43R2KXrLPXJ2fJx9AaGgIl9fIrPPhXLm6HpFvnGVoj+/Q4on0td/wVkyxo/Jvn8AAABgCDIMQ6G5Z8oYXaf4PSsly0o6nnn4IQotvjBp2JX16l9kb3p//4tYXPGHHpf1xl8Vuny+b8G45phRivxwqeL3PSzrjbf7f4aGUTKPPULW2pdctZV48gU5nV0KLb7It3AxAAAAAADgziuvvNLvteM4MgxD8+bNUzgcLlJV+9XW9g8lMQxDjuOora2tSBUBI5ubIKiCtJlIyGxqTfqWNWaUuk87vl/ggNegg0IFwPgRgGTV1/gaXpSP73i4aFsyT9aYeklSeNPWrG9o6avvsuaUlyl60tE5tdc32CsZX26isR11zTox5dvhd7YqsK/lwOiV5TI7upKOa3oMoeor02cdCpyyiOd1QLKgQ7ssotiMaUnG/lwi+d+Zis1o70wd3JUh0NFre27YY0ap6eYbs54eUu3ty2U11Pe+bl8013V4l1SigQu27WldVah9iGTzyhrXoNbrF6WdrlihJW5DYN0EuibjGEba5WtgoEsu8yF64tGKHXmoL3XbLh6+6yXsNiPT7A1tTSVmmv3CvfLJiaQ/35CPoN9C6Jx9mrrOOGlYh85kCkly+33kIyAaQ59dFvE8jd/HxSgsP85DEOQLAMOX1wdftF8yu9+5iWwM5X3RUg28GqrHd4WWmDBGLTcs7n2dj3nRN3DL6Ex+3t6N+GFTJNNUaPMHg9+bOkkqK+41BgBQ6gjuAgAAGGKCp50oJSxZr25U+JtXyagodzdhLC7lcAAu01D4a5fKPGTy4LemTlL4a5cq9tv7pRQXTAQXzFXovNOz7x8AAAAY4oInHSujrmb/fvOAfXNj7GiFr79MRiAwaDqntU3xFY8PGm5/sFPRn/xawfNOV/BLZ8nw4cZbIxJW6KuLZUyeoMSqp/fv30fCCn/9CpkTxipeXqbEY2tdtWW9+JrUFVXo6gVJPxcAAAAAAMiPrVu3Jg0Gv+iii4pQTX8Dg7t6tLYmD+wBMDIY8YRqb1+e3z5yDIBx20euhkN4kR/Mvc2SbX/+InMoRTbsijI5FeUKbdqi8qfdPbTCDT+XNae8TFZDfc6BcGn7qCxX95knJ30vtGnLoFA9p7xMVnmZrzVZDfUZ51m/ZWIAu75GChb/kni/vi8jGlNi0visg9l6b5gLBWXXpQ7hKCS7tlptS+b1vg40NqlizTpFjz9SkhR5c3OxSkMGfZfn2lsf6L1ZNlNoV8+0hQ5cyLQdzWY7W4h9iGTzKh/bPr9lCubIKrjDNNUx/1yF392m8Lvbko7iZ6CLU1kup7L/NbiFCD4tVLhqKS5HQy1Y1qmpUuY13mAlEzrj4kFrhAcjn7LZ9nJcPPyU6j4YAKCwsnnwhdVQP+ICPeNTJ6nlhsVDIvCKff8MwiHXy69dX9Mv5CvVOP18fg7Fjwd8hN/brvB725O+13LDYtllI+t3CABeFf+vlAAAAPAseOYpCpx+oqeb3426GkW+/1VFf36nnM/2eu4zdPl8BY45IuX7gWOOUOjyeYrfv2pAx4ZCl12s4KzkF/kBAAAAI0lg2hRF/uYGxX6z7MB+eUWZwjcuSRrK6ziOYn94VOpM8eRn21biqRdlbdykyM3flhHK/ZSvYRgKnX+GzIPGK3bXQwpfMV/mhLGSpNCXzpaCASUeecpVW9brb8np7lb4a5fJCIdyrg0AAAAAAKQXjUa1d+9eGYYhx3H6BXgdeeSRRaxsv7q6uqTD29raClsIgJJSiHCiocBNeNGw0R2T2dae/D3bVvidrSp/eaMkqeuLxyl+6MH9RnEioaQhBGZTy+CujjtS8WkHHlLnlJXJKY/Irq9RaNMWVa5a6yqAxq3AwKCrHG+w6pwzS9XLVg8abnRFZe7ZJwUDsuuTB2PmIt28SVVTtjrnzMo4TmB3Y8p6Wm5YXDI38PkxbwzHUeWqteqQPN10FdyxSxVr1vWuS+OTJ6j9qvk51ZKKnWyZThcMEg4pMWXigekr9k9PYNfQ43VbHdz+cW/YVzKZ1pE9QXRGVzRjX262o9nsc4S2fqh4nxDJfIWJEE6xnz26TvboupShXRKBLiiOoRo6Y7kIb+M3hXzyuu0dUcfFI0g2+2ADj61d9VNqASe2vT+EOt0otdUS19QB8Kg3tN2DvuvIVNPnsh5102Y25/9H5L5qWZiQpJEoGPR8jrvnHEo6fvyGRuTvEAA8IrgLAABgiPIS2tU7TW2f8K7dja6nC158roKnnZh5vNNPktPSpsTjz+4fEAoqfN0iBWYe5blWAAAAYLgyxzYo8jdLFfvdH2Rv2aHw9ZfJHNuQdFzrjbdl/yXzTQuB447yJbSrX5tHTVfZP94kY8Af4kPnnyEjHFJ8+eOu2rHffl+xW+7ZH05WShdHAQAAAAAwDLW3pwhBkTRu3LgCVpJcPB5POjwWixW4EsCdMWPG9Hvd1NSk7u4UIfvIid9BQNboun5BIU4k7Fvb+eImvGi4CG3/SFUr3T0govzljb0hXtko27hZZRsPnGfvmnWius88OS+hXZJUteLJQcOshnp1zpnVL7jIrcSUiWpbMk8Vjz2nQMuBoMvIO1sVeWerrIZ6tS69NKeaB8o0b3pr6hMSlQ0v8yU+Y7o6pLx8Z35KN2+sUbWKHTWt3zAnyUNdJO/hXcEdu3xdh6bjGIY655zuKVRsIHt0nTrPP10VT62XJHWef7piMwbMm7JITnWiNFQ9/HTGcZKtCwYG0bnhdjvqdp8jOvMIyXFU/uwrik87ECBJ4GhxEeiCYsk5dKZPAGDvoL3Nkm337ydNWEKqMAS7ukoqy+54h98UCsHL8f5IOi4eabye90l2bO1GLsfffjO6o6q9fXnacdqWzCuJWgEMDdkcK3vldT2az5rYVwVy48dviN8hhrLq6mpVVVUVuwyMEAR3AQAAjDRVlTLGjnYd3BU44xQF557luvngl86W09Iq681NCt94pQIDnnoKAAAAQDIqyhX+1tWyt+1UYPrUpOM4bR2KL38sc1ujahW84GyfK/y87RR/bAuedapUXqb4vSslO/MNMvbWHYr+7A5FvnmVjNpqn6sEAAAAAAA9urq6Ur5XU1NTwEqS27dvX9Lh5eXJQyuAYjMMI+1r+MevIKAe7QvO9/x08mIppZtKRxJrXINar1/Ub5jZ1KLqFWt87yvQ2KTqZatzuiG3b2hXviWbN72C+x80mJgyUa1LL00ZINE3dCLZOOlCKZRIyOwbdNFT15hR6j7teJWvf8PDpym8lPMmSWCHJHVefLYUTyRvzDRd9VmxZl0WlboTmzFN8YMn9B/osq6UTFPxQyap5YbFva9ThZhh+Bu4jvQaROd1O+p2n8Pojir0/g4l2/vzO3AU7hHogmLKNnTGMQx1zD930H5AYHdj0lDSgeu1TGEI7QvOV/zIQz18kgP4TaEQ3Gx7OS4e/vw+75OKH8ffAFCKChXa7mU9mu+a2FcFcuPHb4jfIYYywzD42z4KhuAuAACAIrHe3Spz4ngZ1ZUF69NxHMUffFT2W++6Gt887iiFFl/o6QDFMAyFLr1YwTlnyhxdn3kCAAAAYIQyAoGUoV2SpGBAgZlHylq/IW07oUUXyYhk9/TUXARPOU5GWUSx3z8oJayM4zsff6ro/7td4W9dLXNcQwEqBAAAAABg5EkXgNXU1KSGhuIekzc1Jb8pq6KiosCVAChFPWE3wZ2fqPreVcUuJy/aF86VVX8gSDFteFERRE88WrEkN/1nCmFKxq4u7adYJwtQsutrDgQJDWA2tyr04Scqe/WtrPusWLNOrUsvzWq6Qko2b1JxyssyLsNuxunLbGpV7e3LXY9fqtx+brsut3BVo6s7rze+e/3+3PKynCUViyv4yZ60oyQmjJHCodz6QcH0rCO9rPOsUbVZrVf7BuwFdn6SNLQx/N72tNMXIngCBxDoglKQzW+/J7QrMeUglb3w2qD37foaBfa19BvWNyxBUl7CEPhNodDSBf+W2nEx8qeQ532yPf4GgFJV6PODbtaj+aqJfVUgN378hvgdAoA3BHcBAAAUgfXmJsXuWC5jwlhFvnutjMrCXIieePQZWetedzWuOW2KwtculJHFExKNQEAGoV0AAABATozyMoWv+LKsE45WfNkqOfuaB41jzjhMgWOPKHxxnwsce6TC37xasd8uk6KxjOM7+5r3h3d940oFDplcgAoBAAAAABhZKitTPzRo7969RQ/u2rlzZ7/XjuNIksaPH1+McgCUKLssUuwSsuPi+gqrvkb2mFEFKCY7TmW5nMrUIZBS/kJ8SkIwmPL7sceMkl1Xk1NwV6CxSUZXt6f5l+9QplLkVBHo6UWmIL3Qpi2yxjXkHpRVYsyWtoxBJi03LC7pdW4+pQoh7CtTKGOm9wONTap6+GmfKt7fntnU4mmdF9jX4nm92pdTXia7vjaradMFkAyUaV5Zo2pd7UeMJJ2zT1PXGSdJItAFpcVL6ExPaFd8xnSZe/apfF36h7YN5EcQQnzqpEHbBH5TKKZhfTwJ1wpx3ieb428AKFXFOD+YaT2ar5rarpqvxOQJvrcLjAROWUTNN13rav8n3blDjhkBwDuCuwAAAAos8fpbit+9QrIdOR9/qugt9yjynWtl5PmANv7MeiWefMHVuMaEsQp//QoZIZ44CAAAABRb4IhpMv/7txRf9bSsF16VPr+hVYYh+9PPZH+6R+b4McWr7/BDFPnedYreco/U0ZV5gs4uxX5xp8JfXazAsUfmv0AAAAAAAEaQsrIy1dbWqrW1VYZh9Htv+/btOuKI4gWAS9K6dYNvOjUMQwcffHARqgFQqvwI7SlG8I89uk5WQ33aG5YIJBra/Pj+jPZOb8FdLsJgzL3NvaFM5t5mybZ733ciYTk1VdmUWjROeVnG31I+mHv2DRhglmTY1cDv2OyOphw3tGmLKletVev1iwa9Z3R0yehM8nedLD63uWefam9fnnYczyFaiYRCWz7s93cxq09dIynQzmhtV8XTL6Udp3P2af1+614DyzKFaCR7Px/btMCnjZ6n8bpezYbZ2p72/Uw3NGaaV7GjppXk+qaYnJoqOcUuAkjDTehM92nHyxozSuaefVltt3zZ1pWFZZeNzBBLAKWrUOdGCrGfCACFkOn8YD77TRnclaearIb6vLQLjAim6XrfZ6Q+7AAA8oXgLgAAgAJK/PkNxe97WH2vKHA+3KXYr+9V+NtXy4jk5+khiZc2KLHySVfjGvW1Cl5wluIrn1ToivkyeJIbAAAAUHRGJKLw4otkf+F4xf6wWs6Hu/bfqLCvRdF/+63C1y5S4Nji3XhrHnyQIt//mqK/ultqacs8QTyh2G0PKHTZxQrOOjn/BQIAAAAAMIIceuiheuONNwYFdz333HO64IILilTVfi+88MKguiQVPVAMcMs0TQUCgd7XjuPI7hOeAn/kGtpjNdQPujnBTahM21XzlZg8Iel7Rlf3/puRggHZ9bW+1YWhJd+BUr3LWR+BptaM01WsWScnEpYkhd/d1u+9xNhR6ph/Xr9hmQJmSkHnnFmqXrba1bhmU0u/13Z1lVQW9tznwHVE7PCpis2Y3m9YfOqkrNr2U2B3oypXrZXhpI+0Ce38RMGPPk05XmTD2ypft6HfMMcw1DH/3JIIEDKbWlW18qlil5EXyX7r6QQamwb9tgfqOuOkgoccFStkbyCzO6pc9sbShd/1qFizXoHm9Otjq6FenXNmKTFl4qD3SmVeAfCPm9CZ8vVvqHz9GwWoBpmk2vbao+skrpMHisKuLJfp5gGROQh+2qhET3/Z/N67Ywpt23ng9YAwYUmy62ukILdoAxie0p2XdHPO0ivOnwMAcmGaZr9rUZJdlwLkC0eFAAAABZJY95riDyS/oMzetlOxW5cp/M0rZYT9vbjL2rhJ8ftXuRu5qkKB005U/K4Vkm3LqK5UaP75vtYDAAAAIHvmwRMV+MLxSny468DAaEyx25YpePF5Cs4509UfGexP98jp7FLg0IP9q23CWIW+coHid6S/+a2X4yj+wGo5za0KXnQufxwBAAAAAMAnxxxzjN54Y/CNoWvXri1CNQf89a9/1c6dO2UYhhzH6Xcu4JRTTiliZYB7tbW1qq09ENrU1tamtjYXQfbwzEtoT7Jps1F976pBoRvBHbtUsWZdb9CG1VCv1qWXFrQulJZcls1UBi5nXoW2f5zyvcDe5qShdekCZkpBYspEtS2Z52q+VK9Y0+91+4LzFT/y0JxrCL+3XeH3tvcb1nLDYtllo3JuOxfxGdPVIbkK78r0fl89oV3xAWFl8E+uv/VSlI91olfJtt9u+P19BBqbVL1stdqWzEtaRynMKwD+IZBvaMi0rm/+/jVyKsoLXBUAo70z76FdklT56LO9/87m9x7atlNVDz+ddpyWGxbLHlPcY0QAyJeqFU8WtD/OnwMAclFXV6eyMgIgURwEdwEAABRA4tmXFV/xp7Tj2Fu2K3bbAwp//QoZoZDrth3LkvPZXpkTxg56z3p3q2J3PCS5uQgrHFLg8EOVeOzABfuJNS/KGNug4KnHu64HAAAAQP5YW3cokezYwpESq5+R8/Fuha68REYkdSCw4ziKL39M9nvbZM48UqF5s2WOH5NzbXZTi+IPPe55usQTz8tpblXoivkyAoGc6wAAAAAAYKSbNWuW7r77bknqDchyHEevvPKKNm7cqOOOO64odf37v/97yvdOP/30AlYCYCjwEtrTw48gor6hG5J8Cdgo9YAkeNO7bD7+vALNrTm3F9yxqyhBLj3LemLsKDmRSL/3Oi8+W3ZdTcFrGigxZaJal14qo6tbRnungp/sUeVjzxW7rIIyWttV8fRLyd/zEMrlqi/HUfn6N1S+fnAAbPuiubLra5NMlV89YWJS6qCyzvNPV8VT6wtdmmfF+q3nWzbb63ScSFixIw7pfR1obFJgb3PG6TKFZg2Uz++jYs26pCGffs8rAMVHIF9pG67bXgDZCe78VPE++5kAgNLB+XMAADDUEdwFAACQZ048ocTLgy9oSsbevFXWm5sUPMXdxfKObSt+z0pZb21W+JtXKTB9au971radiv32fsmyMjcUDMhoGCVrw18HvRW//xEZDfUKTJviqiYAAAAA+WHva1bs9gck2045jvXG27I/26vw16+QOaoueTtvbZb93rb9//7LZkXfeleBU49X6MJzZORw00Xi8Welto6sprX+/KacphaFr79MBk8zBQAAAAAgJ7Nnz0753k9+8hPdd999Baxmv08++UT33XefDMOQpN4wMUk67rjjNGnSpILXBKD0DQztScepqpBT7t9TlCvWrMtquvZFc6XEges0/K5ruIhPnaSWGxYXpW/Hh3PQiSkT1frNKwYtm2ZbR/+QJdOQNeBcvTPgwRvZLmt+CX62b/DAeKLwhaThlJfJKS9T2cNPF7uUgjOiMYXf3Vaw/lKGCSUyXH9mmoodPlXh97Zn33kiIbPpQBheYG+zuk87XtaYUZKk7tOOHxQq1nX6CYrNmDYkgruK/VvPJy/b635MU/bousHtHTr5wCh79qn29uWum0wVmpVsvHwJNDbJ6OpOuv1PNa/82DYBKDwC+UrbcN72AiNB28I5acODA02tqlrxpOv2yp97peDBXU5ZJOO5D7u2ukDVABju2hfOlVW/P4jf6zqymNqumq/E5AnFLgMAACAnBHcBAADkmREKKvKdaxT92R1ydjemHTd48bneQrvue1jW629JkmK/vlfhG5cocPihsj/cpdgt90ixuIsCJUUicnbtTv6+ZSt22/2K/O3XZTaMclUbAAAAAH85sdj+YF4XF7s7H3+q6L/+RuEbLusX7ivtDxaO/3HAH+QdR9bLb8h6/S0Fzz5VwfPPyCo8K7T4QimRkPXaW56nlST7vW2K/r/bFf7GlRx7AAAAAACQg2nTpunEE0/Uhg0bBgVlPfjgg1q6dKnOO++8gtZ04403KhaL9dbRt65FixYVtBYAQ09PaE8hZXvjfbqbStFHWVh22dA/Dzxw2bTHjFJrn8CZTIyu7vyHPAQCkpX6gSBDRUHmlQtOVUXJ9xefPEHWmPr+7ZRF8lqHPbpOsRnT0wZ3ZWrDiCeSBjQNDOvqK3rKsdLnYbDZ9FkopbL85lsxttcDpQvN6uHH92GNqlXsqGmpR7BTL5dSacwrAP7INmzY6OpWcPvHqsoxmLT9ktmKTyUMfaCRsu0FhjN7dH3SkNdsBfa1ZNxPHOTzc9hZM03ZY4b+uQ8AQ4NVXzMk1zl2juesAAAASgHBXQAAAAVgVFcp8t3rFP3Z7+XsSfKkSknBS+YoNHuWq/Ycx1H8wUdlvbLxwMBYXLFb71No4ZcUX/W01B11V9uoOjl7m9OP1NGl2K33KfI3S2VwwQgAAABQePGEjIoypb/Eu4+OTsV+cZdCiy5U8MxTegcnnn1Zzt4UFyfGE0o8tU7Whr8q8v/7voxAwFOJRjis0DULZUyaoMTDa9LeKJGKs7tR0X+7TeGvX6HAoQd7nh4AAAAAAOx33XXXacOGDZLUG5RlGIYsy9KVV16pjRs3aty4cQWp5ac//akeffTRQaFdkhQKhXTDDTcUpA4AI5vf4S2hTVtkjWvw9SZSjDyZwh184eahf0OAp3kVjcno7FJgb/OB8BzTUOKgcZJpZl2D1VBf8KAdp7xMVkO9p+CJzrmzfL1R04/P7aYNr5+1p02jsyvrPgulEL/1Ugkp81s2n8to70wf3JXN92H2D20wm1plja5TfMZ0720BGJa8BvI55WVKTD0o534TUw+SysI5tzPcFGQ/G0DWMgYDl5dlPN+SzX5iaOuHih1zuOvxLRfnfIbrfjiAoW0orZuGUq0AAACpENwFAABQIEZttcLfvU6x//y9nH3N/d4LLb5QwbNOddWO4zhKrHxS1rrXB78ZTyj+wGrXNYUWXShzxmGK/vQ3Uld3+n53N8p6ZaOCZ7urEwAAAIB/jMoKhb99jeJ/fELW86+4m8i2FX/wUdkff6rQ4gulji4lnnw+42SB007yHNrVW6dhKHTe6TIPGqfY75dLKW6WSKujU7Ff3KnQVQsUPOnYrOoAAAAAAGCkW7p0qf7n//yfamxs7BeYZRiGPvvsM5177rl67LHHNHXq1LzW8Zvf/EY/+tGP+oV1SQfCxC699FKNHz8+rzUA+RQMBlVWlvrmbMdxFI26e+gW8iub8JtUQpu2qHLVWrVev8iHyoDcWDVVCrS2p3zfSPlOamZTi5yqCk/hE0Zru4xorPf1wOmNru5BAQpe+jBdPsBQkqoef156fPDwlhsWy66uktl2YH55qaFzjrsHMvqtc84sVS9Lfj1Y7IhDBg1zIv6Gd/jxud22ke6zem3Tr+8r2bI7kNffi99KKaTMb9lsvwNNrb3/tutrpGBut8xYDfWDhhmOo8pVa9UhEd4FIGu5HqMM5/V/SUgkZPbZpvRjmklDhcy9zZJt9772Yx9hYJt9+dF+rvvpgBuDljPTzO0cTXdMRnunrFG1CuxrcT1Z5epnVfbyRnXOmaXElInZ9d0H62Fg5El1jiCXbaeb8w6BVPskKfh5LjyfWI8CAHIRiUT6XYcSyPL+F8APBHcBAAAUkFlfq/D3Pg/vam6VDCl02TwFZ53suo3E488qsfalnGsJXnhObwhX+LpFit16r+SkGNmQgpfMVeCsL+TcLwAAAIDsGIGAwosvUmLiOMUffFSykl+YN5C1/nU5n34mo65G6nPTTFI1VQqe88Wcaw0cMU2Rv/u6YrfdL2fXZ94bSFiK3/mQnM/2Kvilswfd3AsAAAAAANIrLy/Xj370I/3whz/sPa7uG961efNmffGLX9Q999yj888/3/f+E4mEfvjDH+pXv/pVb789/+8RiUT0P/7H//C9b6CQysvLVV5envL9RCKhzz7L4vwY8sJLIEwqgcYmVa5aK8NJdYEFUFidF58jSapYs863m/GqV6yRtP/mObc3NFc8/ZLC727rN8xqqFfsiEMUfndbytoy9RHcscvXzxba/pGqVj6VtIZUvMyHfEhMmai2JfMGzQfHMBQ74pC8hQb58bm9tpHqs3pp06/vy+uyV8zlpFihcoXidftdteLJ3n+33LBY9phROfdfsWbdoOGEdwHwQy7HKMN9/V9sZlOram9fPmi4YxjqmH9u0uCuwO7GQceLue4jJGuzR+ecWYqedHRW7Wba1yn2PjCGB7+P53okO65zK9DYpOplq9W2ZF7OyzfrYWDkcLM+87rtzNc6socf58LzjfUoACAXdXV1hHWhZBiOw9UDAAAAhWZ/tlexX9yp4MXnKXjq8a6niz+9TomH1+Tcf+DsUxVa+KV+F8bHn3xBidVPDx45Elb42oUKHHtkzv0CAAAA8If1wYeK3f6A1Nbha7uhy70FC2fiRGOK37tS1pubsm4jcPJMhZZ8WUaI51AAAAAAAOCFbds6+eSTtXHjRkn7g7skDQryuvjii/W//tf/0rHHHttv+h07duiQQw7pF7rV83/LspL2GY/Hdfvtt+snP/mJPvzww37T9fTdM+xHP/oRwV0Y9gjuKj1+3hDlRxgIRjZzz76kYQBuJLsZ0OjqltHe2W+8bNvvy80NzZV/XDMouCvXPoI7duV0g2FPqIIkVa5aq9brFymwtznlDd4dF52txIQx/duoqpBTXpZ1DX4b9B2bZtLQCFdtdXTJ6OxK+l5Wn7s7JrOtPbc2+taXZHlO2qZty9zb7EufPXJZ9pIty7n81tMZSYEa2W6/k22r3X4ffeev2dQiJZIfA+XyOwQAaWiFRQ4ZsbiCn+zpNyj8zhZF3tzcb1jz96+RU5E8jDvZ9qJn/zI+Y7pk2zK6o4OmC2/aqoqn1g8aPmgfoTum0PaP0n6M+NRJUllYoU1bkoZ3ZRvc5WVfx49wI4xMuexT2+Vlarnp2pTvhzZ/kHVwVw+roV6tSy9NO06q/UbWw8DI4nV95mbbmes5r2SSHf+6CerMFLrvlR9B/gAAuDFu3DiCu1AyCO4CAAAoEicakxEJux4/8eKriv/h0Zz7DXzxBIWumC/DNPvX4ziK/e4Psje+0zvMGDta4aVXyBw/ZmAzAAAAAIrMbmpR7Lb75ez8xP1EhqQUZ4SNsaMV+e/fluHzHzAcx1HiqRf3BwVneTbamDpJkRsul1Fb7WttAAAAAAAMd5s3b9app56q9vb9IQqpwrskacaMGbrssst01lln6aijjlJXV1fG4K729nZ9/PHHevHFF7V27Vo99dRT2rNnT8p+ev5/8skna/369VxIiWGP4K7SFdz5iarvXZVTGwR3watswnvaF86VVV/Tb5iXcKLQe9tVteJJT30O5OaG5lyDu5L1UXPbgzndNBg9/kjFjpouaX9QQ2Jcg8z2TpWv2+C6BoxMuSx7yZYjN7/9ZL/1dEotVK5QvG6/sw3uartqvhKTJ2RVIwBkK1lo5UAjdf3vB3Nvs2Tb/YbZo+ukAdfT946fZHvRdfoJih01TZIUaGxS1cNJHpidwsB9BDfbo77bsWThXdkGd3nZ12EfGdnyuk/dfslsWQ31+19kCEb1I7hLkppvujb9OjWRkNnU2m8Q62Fg5PG6PnOz7cz1nFcy6c5VuwlHd7MvmombNlmPAgD8QnAXSkmw2AUAAACMVJ5Cu17ZqPiDPoR2nXRM0tAuaf9F8+GrFii6u1HOp3tkHnO4wtcslMEJMQAAAKAkmfW1itx0veL3PyLrtbfcTdRz/V5djdTc/8Ki0LzZvod2SfuPNUJzzpR50HjF7lwudQ1+4mgmzvaP1P3T3yiy9HKZUyb5XiMAAAAAAMPVkUceqTvvvFOXXnqpbNvuDc/qCdDqeS1Jb7/9tv75n/+5d9qqqqqU7U6YMEFNTU2Kx+P9hicL7Or7Wtp/AeUf/vAHLqIEUFR2WaTYJQCuWPU1OQXEeQkCSiXQ2CSjqzuvN9UN7MPo6s75BsbIm5sVeXPzgdcea8DIlOuyl3Q5Mk11nX6Cyte/kXK6XH/rI0Whtt/sJwAoBqe8jP2QPEoXAuRW+fo30m7P08lmX7P29uWy+4ZfOFk+La8Pr/s67CMjG9nsU1sN9QXfHzbaO9Mv28Eg++jACJfN+izTttOPc15eudnPzMe+KPu3AABgpCC4CwAAoMRZGzcpfu/KAzfYZ8mceaRCV38laWhXD6MsovDSK2S9+baC55+RdlwAAAAAxWeEQwpds1DGQeOVeOQpye1Fes2t0rgGGaGgnI8+lTHlIJnHHZVVDY5ty3r1LwqccLSMcCjleIEZhynytzcq9ttlcnY3eu+opU3R//y9QlfMV/ALx2dVKwAAAAAAI9GCBQv0+9//Xl/96ld7A7t6wruk/iFbTp9zC21tbb3DB/5/9+7dSfvqG9CVrP3a2lo99thjmjJlip8fEQA8c6oqSqINjCzZLDO5Lmd+Lafpbmg29zYr/O42X/sw2js9T2+NqlVgX4tvNWBkymbZS9ZG3+XIHl2n2FHT0gZ9sE1xZ6jMJ3Nvs2Tbva+dqgrWLQDgE6OrO+32upRDdrLZ1zS7un2vYSC7LKLYjGmSpPCmrbLGjZbVN+gsYflaA0YA21HXrBNTvh1+Z+ugY7dM+3nm3mYFdjcqPmN6ynGsuhoFBjzIMm2b3VHZmUeDC8nWzewDYzjI9hxBum2+H+cdkhkqx8sAAADDEcFdAAAAWXJicdkffaLAoQfnrQ9r0/uK3bHc/c33KZhHTVf4usUyXDy12hw7Wubcs3LqDwAAAEDhGIah0OxZMieMVezO5VJX1N2EuxvlVFUoePF5Mg8/pN+NtV7Yb7+n+L0rFX9kjYLnnKbgGSfLSHXzztjRivzNUsXu+aPst9713lnCUvyelbI/+lShS+a4OsYBAAAAAADS1VdfraqqKl177bXq6OhIGtaV7NyAk+LvlOnOI/Sdpm8/EyZM0GOPPabjjjsu688BDDWmaaqqqqrfsPb29iJVg76c8jJZDfUKNDZlNb3VUM/Nh/DM63Lnx3KW67LeI9DYlDoEwS7+rc5WQ70658xS9bLVObUTaOp/kzc3GhdPshu/7foaKRhMO07f7yybm8fNbpd/Z/MR2xT3/Fqn5Vtgd6MqV62V0efYqGc9lZgysYiVAcDQFdyxSxVr1mXcBjTdfGOBKvKPYxj9thmFZkRjSkwaL0mKvPGOOs8/3XUAWjb7W4OmCQZk19d6Lxwly6ksV/eZJyd9L7Rpi8wBx12u9odtW5Wr1qpDklI8nL779BNU+dhzruusvncV+2g5yrRuZv6OHKUa3pYp8DMZP+oeeH7J7XvZ4rwCAGC4MwxDlZWVg4YBpYLgLgAAgCw40Zhiv10me+uHCt+4RIGjUj+5I1vW+9sVu/0Bycrt4jbzsKkK33C5jBC7fgAAAMBwFphxmCJ/+3XFfnu/nN2N7iZq71Ti8WcVKo/ImTrJ8x8wHMdR/MkX9r9o61Bi1VNKPPWigmd9QcGzT5VRVTloGqO8TOEbLlfiieeVePxZT/31sJ59Wc4nnyn81cUyKnlSGAAAAAAAbixYsEDr1q3TkiVLtGnTJhmGkTTAq4eb8wRugr0cx9GsWbN03333afLkyTl8AmDoMU1TNTU1/YYR3FU6cgn56Zwzy+dqMFJ4We78Ws78CLSqevhpNR01zZd6esQOm6rQlh2+hBT03AjctmSeq0CHVKpWPDloGDcaF1a6G79bblgse8wo18EdqST7TnNtMxdsU7zxY52Wb/EZ09Uh9QvvCjQ2qXrZarUtmcf6BAA8Cu7YVfLr/r6ixx+pWJJ7C+za6kHDHMNQx/xzVfXIM4UoLSnDcTz3n01YT6pprIZ6tS691HvhGHJCm7YMCjeV3O8PG46jylVrFT9sSu+wvsF3iQljPB8Tso+WPTfrZubv8Feq4W1+nTewK7ILw0p2fimfOK8AABgJBv7NHSglyeOlAQAAkJLT1a3YLffIfm+bZFmK3Xa/rPe3+dqHvf0jxX5znxRP5NSOOXWSwjcukREO+VQZAAAAgFJmjm1Q5G+Wypx5pPuJbFvx5Y8rfu9KObG4p/7s97bJ2fFx/4Fd3Uo88by6//k/FP/jE3JaBj8hzDBNhS48R+GlV0iRsKc+e/t+9wNFf/pb2bt2ZzU9AAAAAAAj0bHHHqs33nhD//iP/6jy8vLe4K2eEK+BgVuppAr6GhgGVllZqR//+Md67rnnCO0CUHJ6Qn6shnrX01gN9dxsiJy4We78Xs6yWdYLITZjmjrmnysnh6eiD5xXiSkT1br0UjXfdK1abljc77/Wq7+cVR89NxoHd+zKuk6403Pjd7oba92Mk8nA79SPNrPBNiU7pbZOM5tbVXXvqkH/Rd54J2kwYcWadUWoEgCGtlJdd1oN9eqadeKgbVJ447syOjqVmDKx338acD1/T2hXfIb/DxBPKRRUfPKEfv8lGycdN/tOpbK/hdKRLLQrm/1hw3EUfm977+uBx5Q9x4RtV833VF+prmdKmZd5xvwdnrLZHpRKXZn01B368BMfK/Mf5xUAAABKQ/ozKQAAAOjH6exS9JZ7+t+YHk8odut9Cn/7GgUOPTjnPuyPP1X0lnukaCy3hqoqFP7W1TIikZxrAgAAADB0GOVlCl9/mRJPvajEo89ILh9Ub72yUfauzxReernMUXWupkk8+XzqN2NxJda+JEXCCl10btJRAjOPVORvlip22/1y9uxzV2gfzt4mRf/9NoWumK/gyTM9Tw8AAAAAwEgUCoX0z//8z/r2t7+tH//4x7rjjjvU3NwsSYPCu7zqCfOqqqrS1772Nf3oRz/SuHHj/CgbAPKi54ZOo6tbRntn2nGdqgo55WUFqgzDWbrlLl/LWbo+A02tqlrxpO99uhGfMV0dkipXrfU8bdtV85VIFjQgySkvGzQfzSz+DtFXxZp1al16aU5tID03N3P7ecN3z3fqV5vWqFqZTYMfaCNJdn2NWm5Y3PuabUpu3G6/7fqapMMdw5BdX6PAvpbci4knFNrp/mbuQGOTjK5uvn8AcMno6i5K2NPAbfdAfbfl3WeePHibZJrpOzDNjKFdbVfNl12W+j4Ap6oifR9J2HU1ah8QaGTubZZsu7cuuy759rOH17AeP/e3MHRZ4xrUev2i3td+7Q+nOqZM99tJhn00b7yum5m/w1M224NC8Pu8QTG0L5wrK8XxbA/OKwAAAJQOgrsAAABccjo6Ff3l3XI+SnKRRSyu2K/vVeQ718qcclDWfdi7GxX95V1SV3cOlX6uvVPWO1sUPPGY3NsCAAAAMKQYpqnQ3LNkTpqg2J0PuT7GcD76RNF//Y3CX7tUgcMPSTuutW2n7Pe3p28wHFLw7FPTjmJOGKvI335dsbtWyN70vqs6+4nFFb9rheztHym0YK6MIKe9AQAAAABwY+zYsfr3f/93/e///b+1YsUKrVy5UmvWrFFLS/Kb1/sGevUEdPUVCoV0zjnnaNGiRVqyZImqq6vzVjsA+C1ZyA+Qb8VY7kpxWe+50TpjuMEAXm/EzhU3GueXmxu/za6or8EdgcYmmU0tvrUZO2qarNF1yZflYFD2mFG+9IMDslqnfR6UEtjbrPJ1G3KvIYvQFKO9k3UJALiUKWA5bzxuu71uk+zRdbJH16Udx2qoL8j2IlMdfWUT1uPn/haGLi/LmVfJjinZR8uvbNbNzN/hpVTD24oV+Ok3q76GcwgAAABDCHcwAQAAuOC0tiv6q7vk7Pos9UjdUUVvuVuR714nc1LypzmmY+9rVuyXd0k+/oExvuwRmQeNlzmuwbc2AQAAAAwdgRmHKfJ3Nyp2+/3pj2f66uhU7Fd3KXTJXAXPPS3laIknX8jYVPCMU2RUZr4QyqgoV/jGJUo8ttZVu8lYz78i+8NdCn/tUpn1tVm1AQAAAADASFRWVqYrr7xSV155pSzL0ttvv60NGzZo06ZN2rlzp3bt2qXW1lZ1dXUpkUiorKxMFRUVGjt2rA4++GAddthhOvnkk3XSSSeposL7DVEAAKC4srmh2Y/p+04XnzE9pxq89pctbjTOHzc3fgc/3OV7v4FPG31trxDLMnLTE5QSeOG1lON4WV845WWyGuqHxc3hcMfo6h60znKqKtg+YFgzWttlRGOS0i/v+fh92NVVal9wftL3wpu2KPze9qzbLmXZhnaZe5sl2x403Kkol1NZnlUtfdtMtb2LT95/70Ro5yeyK8tljarrfS+wtzlt+4HGJpl7m/Ma7IShL9P+2cD98Gz20QJNrYP6ZPvuH7M7qsFrJwyUj21psjZzlc3xTyHOqRQt8NNnfpzDAgAAQOEQ3AUAAJCB09Kq6C/ukrPbxUU6nd2K3fuwIv/1G/2eOJ2xj7Z2xX51t5zm1swjexGNKfa7Pyjyt0tlhMP+tg0AAABgSDDHjFLkh0sVv+9hWW+87W4i25GTsFK//fGnst9+L30bwUDa4K+BDNNUaN5smQeNV+zelVIs7nraHs72jxT9v7cq/NVFChwxzfP0AAAAAACMdIFAQDNnztTMmTOLXQowbNXX16d9v6OjQ7FYrEDVAEDuoTPZTm+XRbLqL1t+hOsEGps8h1UMqqMAN9wOxRvMze5o5pEcJ/+FZGA17N+OE9I0fGUTlNI5Z5aql60eNNwuiyg2Y/DfLJ0Cr//gj+COXapYsy7l799qqFfnnFlKTJlY4MqA/Kt4+iWF393W+3rg8p7X30dZWPEjDx00OLRpi0Lv7/De3hDROWdWVtMFdjeqctVaGQP2m7pmnajuM0/2tc0ejmEoesJRkqTgR5+q7YqLZY8Z1fu+uWdf5k6ShI1h6Oo9ZgkFZdfV+NJmNsdzqfbRUqla8eSgYWzf/VN97yrmZxr52JZmarPQ8h2OZ3R1l8xnzUW24Z0AAAwnwWBQ1dXVxS4DcI3gLgAAgDTsfc2K/eJOOS5P3hmjahW+4TJvoV1d3Yrecq+cz/ZmW2b69j/5TPEHH1P4qgV5aR8AAABA6TMiYYW+uljGwROVeOSpjDc2mMfPUPD81BcBGuMaFLryEiXWvCAnxQV2gS+eIKPW+x9MAiccrci4BsV+u0xOhqduJtXRqdiv7lbwovMUnHOGDNP03gYAAAAAAACQJ+Xl5Wnf7+7uLlAlAHCA1xua/Z6+UHKts+rhpyV5D6sYqBA33A6VG6JL7UbiTHpCNIbC8o7sZBOUkpgyUW1L5g1alo1oTIlJ4xWfMd3PElEEwR27Mv7uA41Nql62Wm1L5pX8uhfIVd/lXcq8XfT79xHatCVtkNRQlus+XHzGdHVIvs6fTG0ajqOqR57xpS8MbQP37eOTJ6j9qvm+te/1eC7VPpoXbN/9xfxMLh/7mm7aLLR8heMNtfMKmWQb3gkAwHBiGEbGv6kDpYTgLgAAgBTsxn37Q7v2tbga32ioV/i718kcVee6DycW338z+kefZFmly34a98mJxWSEw3ntBwAAAEDpMgxDodmzZE4ar9jvl0udXcnHmzBG4asuSRtIbASDCn7xBAW+cJysNzftD/D6ePeBEUxDwdnZX0BgVFUo8nc3KnbHctnvfuC9AUdKPPqM7O07Fb76KzIqK7KuBQAAAAAAAACA4S7XG5r9uCG6EPyq02tYRbrp83XD7VC4Idrr53IqytQ168Te14HGJoXf3eapz65ZJ8oaM6r3tV3l7m9IA28mHgrLO7zJ9YbxxJSJal16qYyubhntnQfe4CFDw0LFmnWexm1demkeqwFKh5ffRs/4fvw+rHENar1+Uc7tlJKWGxbLqaqQU17mehqzqUVVDw0OQZHke6hZT3hXsoAuuywiszva+2+nLOJr3xgaChESlM3xXM8+WnDnJ6q+d1XWfbN99xfzs7987Gt63UYXS67nLkoxoCxbQyWAHQAAAIMR3AUAAJCE/Vmjoj+/U2ppczW+Ma5Bke9eK6O2xnUfjmXtvwl9y45sy9yvrkZqbk1RmBScc6aCF54jIxDIrR8AAAAAw0LgiGmK/JcbFbvtATkff9r/zfKIwkuvkBFxdxGdYZoKnniMAiccLXvT+0o88bzs7R8pcPJMmaPrs6rP/nCXov/+WwVOOFrBeefJPmi8Es+sz66tt99X949vUfirixWYNiWrNgAAAAAAAAAAGAlShs74NH3fIAKjq1tOKM1l7KYpa1StAi4fuOhHnYGmVlWtSB58kEquN8IW4obbUr4h2uvnShw0Ttb4Mb2vzT37PAd3xY48VHaf4C51x9S+4Px+4wT2Nku2fWCaYw+XXdf/usBky5FTUe6pFhRX9MSjFTvyUEnyHJSSjlNe5ltbKA1GV7enkL5AY9P+7RzLAUYArwGWfv0+7NF1OU1fivrtn7iVsHwPETVa21Xx9EuepmlffIGcyOcPFzdNOdWV/d53Ksr7ha9KUmBfs2TvDxdzggH2o4aBQoUEZXvcaucYKMf23V/MzwPysa/ptc1SkO25i2zWPe0L58qq33+Mn825oIHarpqf8zrGz2NSAAAAFB7BXQAAAAPYn3ym6C/ulNo6XI1vTBiryHeulVFT5boPx7YVX/aI7L++m22Z+/se16DI976q+J+elfXia/3frKlS+NqFChx+aE59AAAAABh+zNH1ivzwesXvXy3rtb/sH2hI4WsXyRwz2nN7hmEocPThMmccJnvLdhl17kONB0o8s06yHVmv/1XW63+VefghCsw+Xdbzr0jxhPcGW9oU+9kdCl54joJzz5TBU60BAAAAAAAAAEgp19AZN9Nnet8eXafYUdNUvm5D6jaqKrKqr28Nud4UmeuNsIW44bZUb4jO5nM5+XhwZVlY8SP7X18X9zA5IU1Dl1NZLqeSkBBklk2YpdHeyboBw4K5t1mB3Y1px4lPniBrzP4HuwX2Niuwe69iM6ZJksKbtsrsjvYbn9+Hf3LdH04qFPQcjOpEwmmDx5zKcnWfebLr9oyuboU3bU07TmzGNJajElKMkCCv++F+/F5Yf/mL+blfPvY1s2mz2LI5d5Htuseqr8kuMDMFuyzia3sAAAAYegjuAgAA6MP++FNFf3GX1OHuRKUxabwi375GRlVl5pE/5ziO4iuflPXKxmzL3N/356FdRk2VQgsukP3Bh3J2fSZJMo8+TOErF8iodl8XAAAAgJHFCIcVuuYrMqdMVPyPTyh44TkKHH14bm0ahgKHHZL19PbeJllvbOo/7L1t0nvbpIZ6qatb6ujy3rDjKPHYWtnvb1P42oUyarMPFgMAAAAAAAAAAMVlNdT7foNvXoIPXAg0NikxeULK9/244Ta4/WMlph6U15uija7ufrVmumk1m5trB35H2XxnxfqegXTMvc2Sbfe+diJhOR4eJIs8M03ZfdafZld3EYsBCsy2VblqrQzHSTlK59xZvdt9c88+1fzuISUmjZckRd54J+cSjK5uGZ3dskfX5dzWcOOUl8lqqPc1MCkfbXpltHeqYs26tOMkxo2WOWA/OTBge9p9ykypLJyPEoeUgfvpTllEjs/3mGQ6Zglt2iJrXENRf8d+LNuBxiY5VRUlHTY18Pvu4WfdfgW1md1R2ZlHcy3ZZ/f6uVPNv3T69pHN9IGmVk/ju5kmmzZLQXD7x7Ia6l2Pn+1y2Pe8gB/nCDjPAAAAAIK7AAAAPmd/+LGiv7pb6nT3R3VjykGKfOtqGRXenrqWePJ5Wc++nE2JB/qeMFaR71wr4/OLM4xwSOHrFiv6H79T6MJzFDj7VBmGkVMfAAAAAIY/wzAUPPuLMqdPlTFhbLHLUWLtS1KqCz4/v9DCqKuR05zdxSX2+9vV/ZNfK3z1VxSYcVi2ZQIAAAAAAAB5U1NTo+rq6pTvR6NRtbS0FLAiACg9nXNm+d5msUIKqu9dJauhXp1zZikxZWJe+qh6+GlJyks/wR27VLFm3aD51nTzjZ7GzyRZWJvX7ywfgW+AV0ZruyqefqnfsPC72/q9Tkwcq7ZrFxSwKqRjj65Ty03X9r42uroV3rRVoc0fSJLiRx46aBpu3sdwki60K9X4VY88k3O/ffcZ7PKyfr9DHNA5Z5aql60u+Tb9ZrZ19O7jphI78lDZZenDZIezVPvd3SfOUNfcMwpWR2jTFlWuWqvW6xcVrM9Ucl2283lclSs3x1m51p3tsVwqfh0LZ6rLTR9+f7Z8q1rxZLFLyItM63U/DDwvkOu5IM4zAADgj7KyMtXUHHgwO/fGY6ghuAsAAECS9cGHiv36Xqk76mp889CDFf7GlTI8nmBzHEfK8WlbxqTxinz7GhlV/Z90Yk4Yq7J//oHnmgAAAADAPGh8sUuQ09Ep6+U30o9kSKFvXSVr/QZZz/05u47aOxX79b0Kzj5dwYvPkxHkNDkAAAAAAMl89tln+uSTT7R79251dHSou7tbjuOorKxMFRUVGjt2rCZMmKAJEyYUu1RgWAkEAmnfTyQSBaoEAEpPvm+QTncjtzWqVrGjpvUbZliW4odMll3R/3qt8DtbVb4+w988+gg0Nql62Wq1LZmX15u//e4nuGOXpxvfvY7fV6qwNi833+cj8A3wyojGBgV1JRsHpcspL5NdHlHwo08lSdETjlJ8xvQiVwWUiNDg6y/ikydkHGegXPYZRprElIlqWzLP18CZTG3Gjjik32snEvalX/inWL8hxzDkRMIyP78nJ7TzEwU/+tRzAGC++PV7KdTxm1tuv+9c6s7XMpXrvHRTV6Y+2OaMLMnOC+QS6sd5BgAA/GGapoLc04EhjKUXAACMeNZ72xT7zX1SLO5qfPPwQxT++hIZWfyRyTAMBS+ZK1WUK7Ha+9OEjCkHKfKtq2VUlCd/n9AuAAAAAAXmdHUr/sBqBb98vsxRdVm3k3jxtYzHZeaxRyowYZwCiy5UYtJ4xR9YLSWs7Pp7er2sd7cpfN1CmePGZNUGAAAAAADDRXNzs9auXatnn31Wr732mt5++221tbW5mra8vFxHHXWUTjzxRJ1zzjmaPXu2xo4dm+eKAQDAcBc98WjFjjy097VTVSEnz9dGpbuR22xqlTW6LmM4S2jTFpW99GZW/VesWafWpZdmNW0x+qlYsy6v40uZw9rc3Hyf78A3ACOPNa5Brdcv2v/CNItbDFBC7LoatXz9Msm29w8wTdmj6zy3k80+w0iWmDJRrUsvldHVLaO9M+k4Top7Dzy3meV36ifHMIra/1BQjN+QYxjqmH+ugh99qrINm3qHl0poV49Uy3agqVVVK5701Fahjt/c1OF1fK9153uZynZeeqkrVR8jdZvTvnCurPoaX9t0qioU+Gyfr2GSfkl3XiCbUD/OMwAAAKAvgrsAAMCIZm16X7HbH5Di7p5Iax41XeEbLpcRDmXdp2EYCs09S86+ZlnrN7iezpx2sMLfuEpGWSTrvgEAAADAT47jKHbvStl/2Sxr81aFr1ukwFHenybsxONKPP/njOMFzzv9wL9PPUHm+DGK3vaA1OLuRuJB/X70iaL/91aFFsxV4IxTZHBxHwAAAABgBHEcRytWrNCdd96pJ598UvF4vN97bnV2dur111/Xhg0bdNttt8k0TZ155pm69tprdeWVVyoc9v5AJAAAAKeyXE6lt4ABP6QNPnARztI3zCXQ2KSqh5923XegsUlGV3feA8r86Mfo6vZ0I67X8SWp7ar5SkyekHG8dN9ZIQLfAN+Z/M2y1BU7tAYoFCcSVuyIQzKO01euv49s9hmwn1Ne5vt+Tz7azIVdXqbOOadLbq7vGaHBikX5DZmmOuafq/iM6Qp+9Glh+86SH8t2oY7f0snm+/ZadyGWqWzmpde6kvUxkrc5Vn2N7DGjfG83ZTiex/Mjfmm/ZLYSUw/KuGy5CcHswXkGAAAADERwFwAAGLGsv7yj2O8flCzb1fjmMYcr/LXLZIRy34VKvLRB1ktvuB7fPOJQhZdeISPCRe0AAAAASkfiqXWy/7J5/4vOLsV+fY+CF52n4JwzZHi5AK6zW+bUSbLfejflKOYhkxU49OD+w6ZMUtl/uVGx2/8ge9vObD6CFE8o/uBjst5+T+ErL5FRU51dOwAAAAAADBGO4+j222/X//k//0fbt2/vHdaX13Brx3F627AsS88995yee+453Xzzzfrbv/1b3XTTTQR4AQCAISXbG7n7hlU4VRWepzfaO/v1a48Zpaabb0w9fle36v7zrpz7yWb6dEKbtsga19A7PzKNn4zVUO9p/FILlgCScbNesEbV5b8QAHDBqalSx1fmFLRPr/sYGH4ybSvjM6bL6OrO2M5IXUYy/YbCm7YqetIxvs4fe3RdxvayOTYqpGzry/W4KlfZHGf1TOc6uCvLPrzyOi+zqWtgH4X6bKUo37/JgcfnxVoHuAnt6ovzCgAAAMgGwV0AAGBESmz4q+J3PSTZ7p4UbR4/Q+FrF8oI5r77FH96nRIPr3E9vnn0YQpff5mMUCjnvgEAAADAL9a7HyixesBT0Bwp8egzsnd8pPDVX5FRUe6qLaO2WpGvL5G9u1GJtetlvbJRSlj9xgnOPj35tDXVCn/vOsUf+pOsda9l9Vkkyd60Rd3/5xaFl3xZgZlHZt0OAAAAAACl7PXXX9fSpUv1l7/8pV9YV7KgroFhXqkYhjFo+p5pP/vsM91888269dZb9atf/Upz587NoXoAAIChxSkvk9VQr0Bjk+tpAo1NciJhOTVVeesjV0ZXd8b+KletVev1i7Luw2qo52ZZDEvF+M3CPaOrO2mAg11dJZVlH0Zt7m2W7AMPGXYqyuVUuvtbOpANs6lFSlhyqipSbk+Ntg5VPv68FE98PpEha0DwTvdpJ8iprvS9PqOjS0ZnV+/rdHX2Fdq0Jed9DJQ+N9vKktue2vb+dX26UWqrpbD/94P0/N57X3dH04/fHe23TRrIaG2XEY2lfN/LsUqPobBvn+0yZXZHlXpu+m/gvkqgqTWrdrxMl00fPSHMXuZnIeblwM+S7fwb6orxmyzGensorHsAAAAwPBDcBQAARpzEn99U/L6HJZcXmgdOPlahqxbICARy6tdxHCVWP63EmhddT2Med5TC1y3yJTAMAAAAAPxiN7UodsfylMdV9l/fU/Snv1H4hstlHjTedbvmuAaFr/iynIvOU+L5Pyvx4qtSZ7eMsaNlHnNEyumMYFDhy+cpMWm84ssfk6wsL+Pp6FTstvsVOO1EhRZeICMSya4dAAAAAABK0I9//GP90z/9kxKJhBzHSRm25dXA6QYGeTmOow8++EAXXnihvv/97+unP/2pAjn+7RUYycrKyjRx4sS043zyySdZ/6YBAP7qnDNL1ctWux6/6uGnFTviEHV8ZU7e+shWcMcuVaxZ5+pGWyPH7VDnnFk5TQ+UskL9ZuFepvVb+4LzFT/yUFdtmU0tqnroyX7DBrYbPXq6Ouefl12xgAtVDz3Zu9xZDfXqnDNLiSn9jyON7qhCH+zsNyy0Y1e/19ETZuQluCuy4W2Vr9vQb1hPnXZF8oCNntCuXPcxMDS42VaW0vbU6I6q9vblacdpWzJv0O/QD31/736oePolhd/dlvJ9r8cq0tDZt89mmaq+d1XK9ayfvByLuVG14snMI+Wg5zv3Mj8LMS/z/bmHimL9Jgu93h4q6x4AAEaC0aNHK8J9GRjGzGIXAAAAUEiJF19V/N6V7kO7vniCQld/JffQLttW/A+rPYV2KRxW6Ir5hHYBAAAAKClOPKHY7/4gdQx+0nC/8RqbFP3325R4daPnPoyaKoXmzVbZ//dDhRZdqNDF58kwM5/ODs46WeHvfVWqrfbcZ1/WSxsU/fGvZW3ZnlM7AAAAAACUgkQioWuvvVZ///d/r3g83i+0y3Gc3v+kA6Fb2f6Xrk3HcfSzn/1MF110kdra2oozMwAAAAosMWWi2pbMk9VQXxJ9OAPCW90K7til6mWrc75RPFP/VkN93kINgFJRiPUC3PNr/dYrYSnQ2NTvv4GMhOVPX4ALgcYmVS9breCAUK5S01Nn6MNPJO3fZ0hMGidJMru6Ce0aYdxsK9melr6htm+f7TKV7/Ws7/sqedT3O89mfg6VbdZQVezfZKHW28X+nAAAABh5SIEAAAAjRmLtS4r/8QnX4wfOPEWhRRe6ujk8HSceV+yuFbI3vuNtwlhMiZVPKnzVgpz6BwAAAAA/JZ5ZL2fHx+5GjicUv/uPsnd8rNCCuZ6DiY1IRMGzT/U0TeDQg1X2X76h2B3LZecQvOXsbVLsZ3cocPapCs2fLSMczrotAAAAAACKxbZtLVmyRCtWrBgU2NWXMSBAYeD7bgwM7+r7/77hXU899ZQuuugiPfnkkyovL/fcDwAAwFCTmDJRrUsvVXDnJ6q+d1Ve+zC6uhXc/rGqHn560DhWQ726Tj9BlavWem6/Ys26nGt0DEMd889V+N1tCr+7bdD7bVfNV2LyhJz7AYaCvr9Zo73/A5OcCH+XLCQ/1m/AUFCxZp1al15a7DIyqlizrnefweyKKvjRbkkitGsESrqtHHBfR7rtKfaLT56gwL5myf78fG1ZRArl75bi7tNOUPSEGXKqKuSUl+Wtn3xxc1yVSr7Ws0NhX6X9ktlKTD1o0Hee7bFwKW2z2hfOlVVfI0kKNLWqasWTWU/vVt/fj1/rt1L5TeZ7vV0qnxMAAAAjC8FdAABgRIg/+bwSq59xPX7wvNMVvGTOoAvUvXI6OhW77X7ZWz/MbvruqJxEwvPN7QAAAACQL8Fzvyhnz15Zr2x0PY31/CtyPtyl8PWXyajzdiFKNoyaKoW/c41it94ne/PWnNqynvuz7E3vK3TlJQpMm+JThQAAAAAAFMYPf/hDPfTQQ0lDtSQNGmYYhg477DAdd9xxOu6443TkkUeqtrZWNTU1qqmpkWmaam1t7f1vy5Yt2rhxozZu3Kh33nlHiUQiabt923ccR+vXr9eSJUu0cuXKgswHAACAUmCXRfLeh1NeJquhPuX78RnT1SENCj1Ix+jqVqCxKbfCTFMd889VfMb0pKFdUmHmD1BqnPIybiwvIl/Wb9kwc7s2GchGoLFJRlf3gXVOjg+2zqeu809XfMZ0RV5/u9iloAS42VayPU2tY+Gcgs4bp7pSTnVlwfrLl0zHVckMWs/6oGj7Kh5ZDfVpP7fXY718zMtsWfU1sseMKtr0w3X9Nlw/FwAAAEYmEiAAAMCw5jiOEo+tVeKJ511PE/zS2QpeeI7n0K6+F5tLkr2vWbFb7pGzu9FTO5KkSFihRRcqcOrxOYeHAQAAAICfjHBYoasWyJwySfEVj0uW7Wo6e/tH6v7XWxW+brEChx+S5yolGYacvf5cuOTs2afYz36v4DmnKXjxeTLCIV/aBQAAAAAgn1auXKmf//znrgK7Zs6cqSuvvFJLlizR5MmTs+qvsbFRDzzwgJYtW6b169cnDQtzHKc3vGvVqlX6z//8T910001Zf0YAAIChxKmqKIl+4jOme2rPaO/MuQ57dJ3s0XWuxwfQn7m3WbKT/F02FJTtw4OTjK7u/b9108z4Wx1Osl2/peNmXWaNqvO930yMtg4Z3dHUI/i0LKF4zL3NCuxuTLudN9o7e0My7NF1ik+eoNDOT1KOn49ts7m3WeF30j+ALX7whLTvs88A7Gfubc4Y6tT3dw9vslnX+D2/87Gvkg+Z5lUpzMts9a09m8/BNgsAAAAY/gjuAgAAw5bjOEo8/KQSz7zkeprg/NkKzTkzq/4Sj6yRY9kKLZgr55PPFP31vVJLm+d2zKmTFLpmocwcnqoAAAAAAPlkGIaCZ54ic9J4RX/3B/fHPm0div3yLgUvPk/B82fJyOMTXO233pWzZ59/DTpSYu1Lst5+T6GrFihwSHY3MQMAAAAAUAidnZ363ve+1/s6VWjX9OnT9W//9m+aP39+zn02NDToO9/5jr7zne9o/fr1uummm/T666/3BngNrMFxHP3DP/yDLrvsMk2YkP6GTADeBIPpLw21LEt2suAHAEBeOeVlshrqM95cXwr99A0JCjS1ep7eaqj3dJO11/GBkSawu1GVq9bK6HNcJUnxyRPUflX2x3PBHbtUsWZd7/rCLi9Ty03X5lTrSFeodb1XZS+9obINm1K+n+uyNJL1Bt/14VRVeNqu9bRhV1dJZWGZe5tVfc8j/cYxu7oPtG8Yal16af+gPdtW5aq16sjqUwyWt22zbSuwryXrydlnQLYGhmD2/Z0m+x0PZNfXSBnOtxQc53byKpttutdjp0zbCzNd6GaJcLNezmZemt1R9V3CB/5OszlO9WrgZ/P6OdhmAQCAkSoYDPZelyKp37+B4ajEzhYAAAD4w7FtxZc/LuvFV11PE1r0JQXP/mJW/cWfWa/E0+v39/3xp7I/3CVFY+4mNgzJcSTTUPBL5yg45wwZgUBWdQAAAABAIZmHTFbZf/2GYncsl/3+dncTOY4Sq5+Wve1Dha/+iozK/DxVLvH0uozjmF84TvbGd9wfv0lyPtur2H/crsBZpyo07zwZkUguZQIAAAAAkBc/+9nP9PHHH/cLzOob2GUYhv7xH/9Rf//3f69QKOR7/6effrpeffVV3XrrrfrBD36gWCzWW0tP/9L+gLF/+Zd/0S233OJ7DcBINmbMmLTvNzU1qaurq0DVAAD66pwzS9XLVpd8P6lCgrz0n8/xgZEmPmO6OqScfpcDBXfsKsj6aCQq1LoexTUw+G4gq6FenXNmKTFlous22hecr/iRh0q23S+oayDDcZIG9hiO0289YY2qldnUmtV6o1S3zaVaF0pfrvu3LTcsls2D2Uccr9v0qhVPeu4j2fYi0zamlLhdL3udl9X3rpLVUK/YEYco/O62osyLZJ/Ny+dgmwUAAEaq0aNHK8A98hhBCO4CAADDjmPbii97RNaf33Q3gSGFLpun4KyTs+ov8epflFh54AS765vVJSkSVmjJJUo8s07hxRfJnDopqxoAAAAAoFiM6iqFv32NEo8+o8RTmcOyethvv6/ov96q8PWXyTz4IF9rcjq75GQK46qpUvjyeXIuPEfxu/8o+4MPPXQgWc/9WfZbmxW6fL4CR03PrWAAAAAAAHxk27ZuueWWpE8wdRxHoVBI99xzjy699NK81/KNb3xDxxxzjC666CK1t7cPChJzHEd33323fvzjH6u2tjbv9QAAABRbYspEtS2Zl/ebsL30Yza1qOqhwTeYZxNq4CakJJfxgZHAaOtQ2UtvJH3PiYRldEd96adijfu/7Q5X9phRarr5xn7DQpu25ByQVqh1PYrHTfBdoLFJ1ctWq23JvKTbuXyF5/VddmNHTZM1us7TMl2q2+ZSrQslKhZX8JM9/QY5lRWKHXeEIm9uLlJRGIoKsU0fuL3wY/tQiMArr+vlbOZloLFJ5UXYl0r32dx8DrZZAAAAwMhCcBcAABhWHMtS/O4/ytrwV3cTGIZCV12i4BeOz6o/650tit+7MqtpVVOlyDeukjl5ggInzOh34TwAAAAADCVGIKDQl+fInHKQYveslDKFZn3O2dei6P/7nUILv6TAGSf7dlxkVJQr8t++Kfvt9xV/8nk5Oz4eNE7w3NNkhEIyRtcr/P2vKvHsy0qsflpKWK77cfa1KHbLPQqcMlOhhV+SUVnhS/0AAAAAAORi3bp12rlzZ7+QLGl/aJdhGPrFL35RkNCuHrNmzdKDDz6oiy66qLeGnv9LUldXl1auXKnrrruuYDUBAAAUU2LKRLUuvVRGV7eM9s5B7zuRcH76CaZ4wn3Cyvlm7vZLZisx9SA55WUZx+2cfZq6zjhJTlWFq/GBkcbojqpsw6b89tHVTaBUCta4BrVev6jfMLu6ynM76db1TkV5TjWi+LwE31WsWafWpYPPwxQqPC8+Y7o6JFWuWjvovc6Lz5biid7XBdk2BwOyy8tkdnXv79MwZI+uGzSOJMVmTFP84AnsM8Azs6UtL8F4qThlEbXcsDjtOHZttf/9VpQrevR0GT3XOpmGrFF1g8bxomdfPWWfPh2rDCU92/Tgzk9Ufe+qvPXTs73wun1oXzhXVn1N7+u+68zuM09OedyZi2zXy4Walz3aL5ktq6He0zRuPlva/Ty2WQAAAMCIQ3AXAAAYNpx4QrE7l8v+i8unoJimwtctUuCEo7Pqz97xsWK33S/ZtudpjbGjFf7W1TJH7z8JTGgXAAAAgOEgcNwMRcaPVez2B+R8uifzBJJkWYo/+KjsbR8qdPk8GZGIL7UYpqnAsUfIPOZw2e9vV2LNC7Lf/WD/mxVlCp5xcr9xQ+edrsDRhyl2z8qkQV9pP8Krf5H1zhaFFl2owInHcIwHAAAAACiqP/3pT/1e9w3K+vKXv6yvf/3rBa9p7ty5+v73v6//+I//SHrc/MQTTxDcBQAARhynvKwgN/QWoh+rod51H05NlZzMowEjllOV/4cFZQpvCG3aImtcw+AwnRHA78/sZh1sNreq4tHn0o7TefHZsutq0o6DwvAafBdobJLR1d1vOcg1PC8xaZxkmq7H7wnvGjhNMZYpu75WLTdd62rcQu0rATkzTdljRhW8W6eyXJ3zz/O3TfbVU7LL/LmmLZVAY5PMphbP2wervibt8leK69J8z8seVkN9Xn+bpThvAQAAABQewV0AAGBYcGJxxX73B9mb3nc3QSCg8PWXKnDskVn1Z3+2V9Ff3dPvKUNumVMnKfyNK2VU5v/iCgAAAAAoNHNcgyJ/u1TxZY/I2vC26+ms196SvfMThW+4XOb4Mb7VYxiGAocfosDhh8je8ZHia16UedD4pAFh5rgxivzwBiWeWa/Eo2sly3LfUXun4nc+JOu1txS69CKZA55gCQAAAABAoWzYsKH3331DsgzD0L/+678WoyRJ0j/90z/ptttuU0dHR29dPaFifWsGAABAYfkRElSIoCFgpHDKy2Q11OcU6tPD6OiS0dklp6rCdahAaNMWVa5aq9brF2XfcSwus6Vt0GAvdRhd3TLaO2XX10hBj7c+2bbMvc2Dh5tmaYaRxRMK7fwk4zh9mXub+z142ImE5dRU5aG41H1K3r7TkpJIyGxqTTtKqmUvU/BdMkZ7Z//grkzheR+mXx5iR00ftCxn2hbHZ0xPXyQwjGSzb9p+yWxZDfsfyh5+Z6vK17/hd1kY4gpxzBP+q8v7ofoYisdihap5KM4bAAAAAEMPwV0AAGDIc6IxxX67TPZ729xNEAoqvPQKBY7K7g+QTmubov9xu9TV5Xla89gjFL5ukYxwOKu+AQAAAGAoMCIRha5bLPOQyYr/8clBF++m4uxuVPSnv1FoyZcVPOlY3+syp0xSZOkVcpzUz4Y0TFOh889Q4OjDFbt3pZwPd3nqw377PUXf36bgl85W8NzTZAQCuZYNAAAAAIAn7777br/ALsdxZBiGzj33XE2fXrybNGtra3X55Zfr9ttv71efJH3wwQeybVumaRapOmBkCXu8ZsFxHHV3d+epGgBAseUaEmQ11A/N0BaghHXOmaXqZatzbiey4W2Vr9sflGw11KtzziwlpkzsN45jGLIOGqvgR7tldnWrctVaGWn+nupG8JM9KetPVUfvtDt2qWLNut51UssNi2WPGeWpf6M7qtrbl/cb5hiGOuafW5rBXS5UrXyqN1BGksLv9r9mOjFxrNquXZDXGgK7G5MuH5m+01JkNrUOWkYGymbZ80No0xaVP7Xe83R+hv4BQ102vweroV72mFEKbdqispfezF9xfWQKROwJsTwwQYkGUI4QhVjP9uy3uTVUj8UKMS+H6rwBAAAodaZpKpLkAep9DbweBBjuCO4CAABDmtPVrdit98r+YKe7CcIhhb9xlQKHTc2qP7upRdGf/Frq9B7aFTjjZIUWXySDi80BAAAAjACGYSh49hdlHHyQ4r9/UE5z+qfV9orFFb/zIdlbP1ToKxfICPl/GtvNH4PMCWMV+eENiv6/2z2HdykWV+KRp2S9ulGhy+YpMG1KlpUCAAAAAODdvn37kg6/8MILC1zJYBdddJFuv/12SQcCxSTJsiy1tLSovr4+3eQAfFJZWanKykrX4ycSCYK7AGCYyyUkqHPOLJ+rAZCYMlFtS+b1C7DKVaCxSdXLVqttyTzZFftDDHrCrMyuqIIf7ZaknEO7vNQxMOgpuGOXL4FlycSOO0JOZYWCO/r/7TcxYYwUDuWlTz8F9jYrsLc55ftGNJb3GuIzpqtDGhTele47HY7s0XVq/v41va+NWEKBT/covPkDSVLsyEPllIUl48D14nZtddK2HMPoNy/Dm7Yo9P4OGY6jzjmzVLFmnafa/Ar9A4aDVL+HzvNPV2zGtEHDnbKIQpu2+BJg6VaqQMRkhnoA5XBRauvZoXwslu95OZTnDQAAQCkLBoNc1wEMQHAXAAAYspyOTkVvucf9DdRlEYW/dbUCh0zOqj9r64eK/fIuKZHwPG1w3nkKzjmTpGAAAAAAI07gkMky/+s3FLtrhezNW11PZ734quwPP1b4a5fKHF2cP+5Yb27yHtrVh/PJHsX+8/cKnHq8Ql+eI6Pa/c2QAAAAAABkq6OjI+nw4447rsCVeKuhs7OTCzwBAACKJJuQIKuhXp1zZo2IkBagGBJTJqp16aUyurpltHcmHymLhyBVrFmn9ktm9waAxGdMV+T1t3Os1ruKNevUuvTSQcPyJfLmZkXe3DxoeMsNi2WPGZW3fnNll0Vkdkdzbqf7tBMUPWFG6hFcLkupwruk5N/psGSacirKe186FVJg126F3t0mSYodPlWJqZMyNtPzG6x65JneYeH3tvf+O37wBM/b5nyE/gFDVarfQ/nTL8muKFN8xvR+4+c7tMvcs0+1ty/PenrroLEyu6KDttmxGdPklJflWh5cKpX17HA4FsvXvBwO8wYAAADA0EJwFwAAGJKc1jZFf3m3nE8+czdBRbki375G5sHZnXx1bFvxJ57zHtplmgot+bKCpx6fVb8AAAAAMBwYVZUKf/MqJZ54Xok/PSu5vMbN+XCXov96q8LXLlJgxmF5rXEge89exe9f5Utb1p/flPXWZoW+PEeBL54gwzQzTwQAAAAAQJYqKirU3t4+aPiECROKUI37GioqKgpYCQAAAAZyFRL0OaeqgoAAoECc8jJff2+BxiYZ0VhvaFexBBqbZHR19342o6uboKEkYjOmySmLqHz9G+lHNNM/WNiprpTj4UFTRkeXIhtSB7rZ9TUK7GvpN2zgdzqSWOMa1Hr9ov0v3FwPYJoHfoN9grsGSrVtdqpSn0PpO43s/AQQAUNFyv3bJL/Tfr/jJOz6mnyU6Frwo90KfrR70PD4wRNG5Hq3mLwcN/UVaGxS1cNP59x/21XzlZhc/HP9fuiZl8Gdn6j6Xu/X6bUvnCurz2+T41QAAAAAxUBwFwAAGHLsfc2K/fIuOXv2uZugulKR71wrc+K4rPpzHEfxBx+Ts3mrtwnLwgrfcIUCRxyaVb8AAAAAMJwYpqnQhefIPGSyYnc+JHW4vHCps1tOV3d+i0vCqCiXOX2q7Lff86fBzm7F718l6+U3FLp8nsyDxvvTLgAAAAAAA1RXVycN7iorK/4NK5FIJOV71dXVBawEAAAAqfgdEgSgsMy9zQrsbkwbyuVEwhlDu9IFA/nFaO88ENyVIfgitGmLrHENskfX+VpDIT5nrjVETzk2Y3CXNarOx4okmYbK123wPFnf73Qk8bpc2qPrMk7Td7nIZts8Er8HIBU3vyG/ty8Y/ryum/3a57DLUp9jH6qy/UxWfY3sMaN8rgYAAAAAvCG4CwAADCn27kbFfnWXnKZWdxPUVivy3etkjmvIus/EqqdkrXvN20TVlYp876syx4/Jul8AAAAAGI4CR05T5L9+Q/HfPyh7+0eZxz/rCwqedGwBKuvPqKxQ+MYlSqx9SYlH1vj2JFp7+0eK/uutCpx1qkIXnStjGF5MBQAAAAAorkMOOUS7du2SYRj9hre1tRWpouQ19K1vwoQJCga5lA0AAAAAcmbbqly1Vh25NFFTqeCOXf2GBfY2S7bd+7r7lJlSWTiHXtwLbdqiylVr1Xr9Il/btRrqSyLcyCkvk9VQr0BjU1bvF6Mmr4yu7v2hXlUVJTHPS12pLJsA/JMqtCl2+FTFPg/TDOzZ5zk0sRQCKOFOMbbnQ0W2yzHLPwAAAIBSwNVOAABgyLA//lTRX94lZXiqVg9jVK3C371OZkP2T1CIr35aiafWeZrGmDxRkW9eKaO6Kut+AQAAAGA4M+trFf7+VxV/5ClZz76ccjxjykEKXTK3gJUN6N8wFDrvdJljRit210NSNOZPw7Yj69mXZb3xtkIL5ipw4jGDbqYGAAAAACBbRx99tNatG/w3zq1bt+q4444rQkUHfPDBB/1eO44jwzB0zDHHFKkiAG6Ypqmampq043R0dMiyrAJVBAAAgHQMx1HlqrWy6w/swzmGIcNx97Ci7lOPV9XKp9KOEzvyUNll2V+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      "text/plain": [
       "
"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 860,
       "width": 2423
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_rank_dist(idata, var_names=[\"beta0\", \"beta1\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "romantic-today",
   "metadata": {},
   "source": [
    "## Examine results\n",
    "The code below plots out model predictions in data space, and our posterior beliefs in parameter space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "monthly-techno",
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yfAaNAADoC8rLcnHzebOiOp/8J/VPPLMtdp1oz6AVAAAAAABA3/bY/ub4p+0HE3OXTBwZvzZ5dAaNAADgzLpqyfSYMawmMbf2SGt8cd2uDBoBAAAAWTHcBQAAEBFPHWxJdVDwN6aMiRUTRpS+EAAAfcrUoTVx6aJpibm27kLc/OQWL2QCAAAAAACDWmtnd9z1dFNibkh5Pq4+e3rkcrkMWgEAwJlVXZ6PO5fPSfUg4F9u3huP7mvOoBUAAACQBcNdAADAoHequyfuWZN8UHB4ZXlctqSh9IUAAOiT3jBjfKwYPzwxt675RHxpw+4MGgEAAAAAAPRNn1q7PQ61dybmPrxoWoyvrcqgEQAAlMaMYbVx9dnTU2VvWdUY+052lLgRAAAAkAXDXQAAwKD3+XW7YteJU4m5yxY3xMiqigwaAQDQF+Vyubjh3FkxvLI8Mfu1jXtizaHjGbQCAAAAAADoWx7d1xz/suNQYu68scPid6aPy6ARAACU1m83jIvfnDo2MXe8qyeuW7kpOnsKGbQCAAAASslwFwAAMKitPtQSf7tlX2Ju2bjh8b+mjsmgEQAAfdnYmsq44dyZiblCRNy0qjFaOrpKXwoAAAAAAKCPON7ZHXc/vTUxV1teFtefOzPKcrkMWgEAQOldfc70aBhak5hb33wyPrV2e+kLAQAAACVluAsAABi0Tnb1xO1PJR8UrMqXxcfOmRE5BwUBAIiIV0waFW+YPj4xd7C9M257amsUi8UMWgEAAAAAAPS+T63dHodOJT9s8uFFDTFpSHUGjQAAIBu15fm4c/nsqCpLPnP+raYD8d2dhzJoBQAAAJRKeW8XAAAA6C0PPbc99rV1JObet2BK1Nc5KAgAwH/5yOJp8fTh47G9tf20uUf2N8ffbtkfb549MaNmMDC0tbXF2rVrT5tZvHhx1NbWZtQIAAAAAIAkj+xrjn/dkTw+sGzc8Pi96eMyaAQA9CW+AzMYzBo+JK46e3rc+XRTYvaup5ti9oghMWOY/+YBAACgPzLcBQAADEqP72+Of9h2MDG3cGRd/OEsIwsAAPx31eX5uH3Z7HjHD5+L7mLxtNnPPLcjzh4zNOaPrMuoHfR/R48ejYceeui0mXvvvdeBbQAAAACAPuJ4Z3fc/fTWxFxteT6uWzozcrlcBq0AgL7Ed2AGi9c1jItnjrQmjtqe6inEtU9sjq/8yqKoLc9n1A4AAAA4U8p6uwAAAEDWjnd2x52rkw8KVpXl4qbzZkV5mYOCAAD8ojkjhsQHz5qamOsuFuP6lZvjRFd3Bq0AAAAAAACy98Cz2+Pwqa7E3KWLpsXEIVUZNAIAgN6Ry+XimrOnx6zhySN021vb467VW6OY8HAgAAAA0PcY7gIAAAad+5/dFodSHBT8wFnTomFYTQaNAADor/737Ilx4YQRibk9JzvirtVNDtkBAAAAAAADzsN7j8a/7TyUmFs2bnj87vRxGTQCAIDeVV2ej7uXz4na8nxi9j92H4n/23Qgg1YAAADAmWS4CwAAGFR+tOdIfGfn4cTc0jHD4g9nTcigEQAA/VlZLhc3nzcrxlZXJGZ/sOdIfHPr/gxaAQAAAAAAZKOlsyvuXtOUmKstz8f1586MXC6XQSsAAOh9U4fWxE3nzUyV/dSz22Pd0dYSNwIAAADOJMNdAADAoNHc0RUfT3FQsCZfFjecOzPKHBQEACCFEVUVcduy2an+4P7g2h3x3BGH7AAAAAAAgIHhk89ujyOnuhJzly2eFhNqqzJoBAAAfcer60fHH82emJjrLhbjupWbo6Uj+WdrAAAAoG8w3AUAAAwKxWIx7nm6KZo7uhOzly5uiPq66gxaAQAwUCwdOzzetWByYq7n/x2ya3bIDgAAAAAA6Od+svdofGfn4cTcivHD4/UN4zJoBAAAfc8Hz5oai0cPTcztb+uMm1dtiUKxmEErAAAA4OUy3AUAAAwK39t1OH6892hibvm44fF70x0UBADgxXvHvMlx7thhibmD7Z1x05ON0eOQHQAAAAAA0E+1dHTFPU83JeaGlOfjuqUzI5fLZdAKAAD6nvKysrhz+ewYWVWemH38wLH4ysY9GbQCAAAAXi7DXQAAwIB3sL0j7ntmW2KuriIf15/roCAAAC9NPpeL286fHaOqKhKzTx5siS9v2J1BKwAAAAAAgDPv/me3x9GOrsTcZUsaYnxtVQaNAACg7xpXUxW3L5sTaU6p//n6XfHkgWOlrgQAAAC8TIa7AACAAa2nWIxbV22J1q6exOyVS6Y7KAgAwMsypqYybl82O9Uf37+8YXc8sq+55J0AAAAAAADOpJ/sORrf3XU4MXfB+BHxumljM2gEAAB93/njhsd7F0xJzBUj4sYnG+NAW0fpSwEAAAAvmeEuAABgQPvrzXvjqUPHE3OvnDQy/tfUMRk0AgBgoDtv3PB438KpqbI3PdkYO1vbS9wIAAAAAADgzGjp6Ip71jQl5uoq8nHt0hmRy+UyaAUAAP3D2+fVxwXjRyTmjnV2x/UrN0d3oVD6UgAAAMBLYrgLAAAYsNYdbY0vrtuVmBtRWR4fPcdBQQAAzpy3zp0UF08YmZg72d0TVz++KU529WTQCgAAAAAA4OW595ltcbSjKzF32eKGGF9blUEjAADoP8pyubj1/FkxobYyMfvc0RPx6ed2ZtAKAAAAeCkMdwEAAAPSia7uuPHJxugpFhOz15wzI0ZXJ3/8BACAtMpyubj5/FkxMcWFlO2t7XHbU1uikOJnVwAAAAAAgN7y3V2H4/u7jyTmLpwwIn572tgMGgEAQP8zvKoi7l4+N8pTPDr9t1v2xXd3Hc6gFQAAAPBiGe4CAAAGpPue2RZ7TnYk5n59yph4zeTRGTQCAGCwGVZZHnevmBMVZcmH7H6892h8bdOeDFoBAAAAAAC8eAfbO+K+NU2JubqKfFy7dEbkUowQAADAYLVgVF1cvqQhVfbO1VujseVkaQsBAAAAL5rhLgAAYMD5952H4js7k18WmlhbFdecMz2DRgAADFbzR9bFNefMSJX94rpd8ZM9R0vcCAAAAAAA4MUpFotxx1Nbo7WrJzF7xZKGGFdTlUErAADo3944Y3z82pTkB6g7egrxscc3xfHO7gxaAQAAAGkZ7gIAAAaU3SdOxb0pXvfM5yJuXzY76irKM2gFAMBg9vqGcfHGGeMTc8WIuGlVY2w+5oVMAAAAAACg7/hW04FYebAlMXfRhBHxm1PHZtAIAAD6v1wuF9cunRkNQ2sSs7tPdsTNqxqjUCxm0AwAAABIw3AXAAAwYHQXCnHTk43R1l1IzL5nwZRYNHpoBq0AACDi8iUNsTjFz5+negpx5WMb43B7ZwatAAAAAAAATm9na3s89NyOxNzwyvK4bunMyOVyGbQCAICBobY8H/esmBM1+eSrvo/tPxZf2rA7g1YAAABAGoa7AACAAeOL63fFuuYTibmlY4fFW+fWZ9AIAAB+pqKsLO5ePifGVFckZg+2d8Y1j2+KUz09GTQDAAAAAAD45boLxbhl1Zbo6El+RO+j58yIMTWVGbQCAICBZfqw2rjxvFmpsl/esDse3nu0xI0AAACANAx3AQAAA8JTB1virzbtTcwNqyyPW86bFXmvewIAkLExNZVxz4q5UZ7iZ9F1zSfi9qe2RqFYzKAZAAAAAADAL/rLTXtSPaL3G1PGxGsmj86gEQAADEyvmTw6/mTOpFTZm1dtiZ2t7SVuBAAAACQx3AUAAPR7xzq64uZVjZFm0uCGpTNjfG1VyTsBAMAvs2j00PjoOdNTZb+/+0h8acPuEjcCAAAAAAD4RRuaT6T6TjG2pjKuOjvdtw8AAOCFfWDh1Dh/7PDE3Mnunrjm8U3R1t2TQSsAAADghRjuAgAA+rVCsRi3PrUlDp/qSsy+Yfr4eGX9qAxaAQDAC3v99PHxR7Mnpsp+ecPu+O6uwyVuBAAAAAAA8F9O9fTELau2RE8x+Rm9m86dGUMryzNoBQAAA1t5WS5uXz47JtRWJma3tbbHHU9tjWKKn9kBAACA0jDcBQAA9Gtf27QnHtt/LDE3Y1hNfGTJtNIXAgCAFD60aFpcPGFkquwdT22J5460lrgRAAAAAADAz3zh+V2xvbU9MfcHMyfEsvEjSl8IAAAGiZFVFXHPirlRWZZLzP5gz5H4euO+DFoBAAAAv4zhLgAAoN9adbAl/mzdrsRcZVkubl82O6rz+QxaAQBAsnwuF7ctmx2zhtcmZjsLxbjm8U2xv60jg2YAAAAAAMBg9tTBlvjGluTL/9PqquODZ03NoBEAAAwu80fWxTXnzEiV/exzO2LVwZYSNwIAAAB+GcNdAABAv3SwvSNufHJzFFJkL13cELOGDyl5JwAAeDGGVOTj/gvnxaiqisTs0Y6uuPKxjXGyqyeDZgAAAAAAwGB0oqs7bl+9JTGXz0Xccv7sqC73iB4AAJTC6xrGxRtnjE/MFSLi+pWbY99JDwICAABA1gx3AQAA/U53oRDXr2yM5o7uxOwlE0fG76f4aAkAAL1hQm1V3HvB3KgsyyVmt7S0xcee2BRdhTTztQAAAAAAAC/OJ5/dHvvbOhNz75g3ORaMqsugEQAADF6XL2mIs1L83N3S2R0fe2JTdPQ4UwQAAABZMtwFAAD0O59+bmesPdKamBtfUxk3nDszcrnkEQQAAOgti0YPjRvOm5Uq++TBlrjjqa1RKBZL3AoAAAAAABhMfrznSPzrjkOJufkjh8Q75tVn0AgAAAa3irKyuGfF3BhVVZGY3XjsZNy7pimKzhQBAABAZgx3AQAA/coPdh+Jv92yLzFXnsvF3SvmxIgUHyoBAKC3/fqUMfGu+ZNTZb+z63B85rkdJW4EAAAAAAAMFkdOdcbdTzcl5qrKcnHLebOjvMw1BAAAyMLYmsq4a8WcyKd4yPpfdhyKv992IINWAAAAQIThLgAAoB/Z0doed6zekip72ZKGWDhqaIkbAQDAmfPu+ZPjtZNHp8p+vXFffKNxb4kbAQAAAAAAA12xWIy7n26KY53didkPLpoWDcNqMmgFAAD8p3PGDIvLFk9Llb3/me2x9khriRsBAAAAEYa7AACAfqK9uyc+9sSmaOsuJGZ/bcro+P0Z4zNoBQAAZ05ZLhc3njczFowckir/qbU74nu7Dpe4FQAAAAAAMJD9845D8fC+5sTc+WOHx5tmTsigEQAA8D+9aeaE+I2pYxJz3cVifPTxTXGgrSODVgAAADC4Ge4CAAD6vGKxGPesaYqm4+2J2YahNXHt0pmRy+UyaAYAAGdWdT4fn7hwXkysrUqVv3XVllh1sKXErQAAAAAAgIFoz4lT8cCz2xJzdRX5uPG8mVHmPA4AAPSKXC4X154zI+YMr03MHu3oimse3xSnenoyaAYAAACDl+EuAACgz/v7bQfiOzsPJ+Zq8mVxz4o5UVuez6AVAACUxujqynjo4vkxorI8MdtdLMY1j2+KzcdOZtAMAAAAAAAYKLoLxbhpVWO0dRcSs1edPT3Gp3x0BAAAKI3q8nx8/IK5Mawi+az8xmMn4+7VTVEsFjNoBgAAAINT8q0fAACAXrT2SGvc/8z2VNnrzp0Z04clvyIEAAB93dShNXH/RfPigz9dH6d6Tn9hpq27Jy57dEN86VVnxaQh1Rk1hNIaOnRovOENb0jMAAAAAADw0vzFxt3x/NETiblX14+K35gyJoNGAMBA5zswvHyThlTH7cvmxGWPboikSa7v7Docs4bXxlvm1mfSDQAAAAabXNFkNgAA0EcdaOuIt//wuTja0ZWYfdPMCXHV2dMzaAUAANl5dF9zXP34xuhJ8Zf8KXXV8eevOitGVlWUvhgAAAAAANBvPXv4eLz/J+vi9E+HRIyqqohv/OqSGOHbAwAA9Clf3bgnPr9uZ2IuFxEPXDQvLpgwsvSlAAAAYJAp6+0CAAAAv8ypnp746BObUo12LRxVFx9ZPC2DVgAAkK2LJo6Ma5fOTJXddeJUXPbIhjjR1V3iVgAAAAAAQH91oqs7bl61JXG0KyLi+nNnGu0CAIA+6G1zJ8Vr6kcn5ooRccOTjbGjtb30pQAAAGCQMdwFAAD0OcViMe5+uik2NJ9MzA6vLI+7ls+JijK/3gAAMDC9rmFcfGDhlFTZjcdOxhWPboxT3T0lbgUAAAAAAPRH963ZFvvaOhJzvzd9fFw8cWQGjQAAgBcrl8vFjefNjDnDaxOzJ7p64urHNnoMEAAAAM4wN9sBAIA+528a98V3dh5OzOUi4rZls2NCbVXpSwEAQC9629z6eOOM8amyzx5pjWse3xSdPYUStwIAAAAAAPqT7+w8FN/ZlXwmZ1pddVy2eFoGjQAAgJeqpjwf914wL0ZUlidmd5w4FTc+2Rg9xWIGzQAAAGBwMNwFAAD0KU/sPxafeW5Hquz7Fk6JFeNHlLYQAAD0AblcLq48e3q8atKoVPmVB1vixicbo7vgsB0AAAAAABCx9+SpuHfNtsRceS4Xty+fE9Xl+QxaAQAAL8fEIVVxz4q5kc/lErOP7T8WX3h+ZwatAAAAYHAw3AUAAPQZO1vb44YnN0chRfY19aPj7XPrS94JAAD6inwuF7ctmx3njBmaKv/jvUfjjtVbouClTAAAAAAAGNS6C8W4edWWONndk5j9wFlTY+6IIRm0AgAAzoRzxg6Lq85uSJX9y81747u7Dpe2EAAAAAwShrsAAIA+4URXd1z9+KZo7Uo+IDh7eG3ceN7MyKV4GQgAAAaSqnxZ3HfBvJg1rDZV/t93Ho5PPLMtisa7AAAAAABg0Prapj2x9khrYu68scPij2ZPzKARAABwJr1hxoT4venjU2XvfGpLbGg+UeJGAAAAMPAZ7gIAAHpdoViMW1Ztie2t7YnZEZXlce8Fc6OmPJ9BMwAA6HuGVpbHQ5fMj8lDqlPlv9V0ID77/E7jXQAAAAAAMAg9d6Q1vrxhV2JuWEU+bj5/VpR5SA8AAPqlK89uiLPHDE3MdRSKcc3jm+LIqc4MWgEAAMDAZbgLAADodX+2flc8vK85MZfP5eLuFXNiUsqBAgAAGKhGV1fGZy5ZEONrKlPl/2rz3vjqpj0lbgUAAAAAAPQlJ7t64uZVjdGT4m2P686dGeNqqkpfCgAAKImKsrK4e/ncmFCbfJ7oYHtnfOyJzdHZU8igGQAAAAxMhrsAAIBe9d1dh+MrG9MNCFyxpCGWjh1e4kYAANA/TBxSFZ+5ZEGMqqpIlf/Cul3xt437StwKAAAAAADoK+5/dlvsOdmRmPudhnHx6vrRGTQCAABKaVR1Rdx7wbyoyidfHV57pDU+8cy2KBZTLP0CAAAAv8BwFwAA0GuePXw8bn9qS6rs7zSMizfOGF/iRgAA0L9MHVoTD10yP4ZV5FPlH1i7Pb61dX+JWwEAAAAAAL3tP3Ydjn/dcSgxN6WuOi5b0lD6QgAAQCbmjhgSN547M1X2H7cfjP/bdKDEjQAAAGBgMtwFAAD0it0nTsU1j2+KrkLyCz2LRw+Nq8+ZHrlcLoNmAADQv8wePiQ+dfH8qC1P9yf/e5/ZFn/vwB0AAAAAAAxY+9s64uNrmhJz+Vwubjt/dtSWp3sgBAAA6B9+dcqYePvc+lTZB57dFisPHCttIQAAABiAcsViMfmWPAAAwBl0vLM73vPj52N7a3tidlxNZXz1VxbF6OrKDJoBAED/tfpQS1z+yIboSDGOGxFx/bkz4/UN40rcCl6azs7OOHjw4Gkz48aNi8pKvysCAAAAAPy8nmIxPvTT9fH04eOJ2Q8snBpvn5fuMj8AwMvlOzBkq1AsxjWPb4qH9zUnZusq8vHlVy2KhmE1GTQDAACAgcFwFwAAkKnuQiE+8siGeOpQ8uHAqrJcfPFVZ8X8kXUZNAMAgP7v0X3NcfXjm6InxZ/+cxFx43kz47emGe+i79m9e3dcc801p83ce++9MXny5IwaAQAAAAD0D1/duCc+v25nYm7pmGHxmVcsiHwul0ErAADfgaE3nOjqjnf9KN2D25OHVMVfvHpRDK+qyKAZAAAA9H9lvV0AAAAYPIrFYnx8zbZUo10REdefN8toFwAAvAgXTRwZty+bneqP/8WIuP2prfHvOw+VuhYAAAAAAJCB9UdPxJ+t35WYG1qRj1vOn2W0CwAABri6ivK474K5MbQin5jdfbIjPvbE5ugqFDJoBgAAAP2f4S4AACAzf715b/zT9oOpsu+ZPzl+fcqYEjcCAICB5zWTR8f1585MlS1GxG2rtsT3dh0ubSkAAAAAAKCkTnR1x41Pbo6eYjEx+7GlM2J8bVUGrQAAgN42dWhN3LF8TqrLxE8fPh73rdkWxRS/VwAAAMBgZ7gLAADIxI/2HInPPL8zVfY3po6Jd82fXOJGAAAwcP12w7i4bumMVNlCRNyyqjF+sPtIaUsBAAAAAAAlUSwW4+NrmmL3yY7E7G9NGxuvnewxPQAAGExWjB8Rly5uSJX9x+0H4xuN+0pbCAAAAAYAw10AAEDJrT96Im5etSVVdsnooXH90pmRy+VK3AoAAAa235k+Pj56Trrxrp5ixI1Pbo4f7jHeBQAAAAAA/c2/7DgU39uV/Df++iFVceWS6Rk0AgAA+pr/PWtC/O70camyDz23Ix7Z11ziRgAAANC/Ge4CAABKan9bR1z1+Mbo6CkkZicPqYp7L5gblXm/qgAAwJnwhhnj46qz013A6SlG3LCyMX5svAsAAAAAAPqNbcfb4hPPbEvM5XMRt54/O4ZU5DNoBQAA9DW5XC6uPnt6nDd2WGK2GD97BHBLy8nSFwMAAIB+ym14AACgZI53dsdlj2yII6e6ErNDK/LxyYvmx4iqigyaAQDA4PGmmRPi8sUNqbI9xWJcZ7wLAAAAAAD6hVM9PXHDk41xKsWDeu+aPyUWjR6aQSsAAKCvKi8ri7tWzIkpddWJ2bbuQlz12KY4muIuAAAAAAxGhrsAAICS6OwpxDWPb4xtre2J2XwuF/esmBvThtZk0AwAAAaf/z17Ynxk0bRU2f8c7/qR8S4AAAAAAOjTHlq7I7a0tCXmlo4ZFm+fV59BIwAAoK8bXlkRn7xwXgytyCdm97V1xEef2BQdKcaCAQAAYLAx3AUAAJxxhWIxbn1qS6w53Joqf+3SGXHeuOElbgUAAIPbH82ZFB86a2qqbE+xGNcb7wIAAAAAgD7rR3uOxLeaDiTmhleWx63LZkU+l8ugFQAA0B9MHVoTd6+YG/kUvyasPdIadz29NYrFYumLAQAAQD9iuAsAADjjPv3cjvj+7nQX/N82tz5e1zCuxI0AAICIiLfMrY8PLDTeBQAAAAAA/dm+kx1x5+qtqbI3nTcrxtVUlbgRAADQ35w/bnhcdfb0VNnv7DwcX9u0p8SNAAAAoH8x3AUAAJxR32jcF3/TuC9V9lfqR8X7F04pcSMAAODnvX1efbx3Qbqfw/9zvOuHxrsAAAAAAKBP6C4U46ZVjdHa1ZOYffOsiXHxxJEZtAIAAPqjN8yYEH8wc0Kq7OfX7fIAIAAAAPwcw10AAMAZ84PdR+LBtdtTZc8aVRc3nzcrynK50pYCAAB+wbvmT473zJ+cKttTLMYNxrsAAAAAAKBP+NKGXbH2SGtibt6IIfGnZ03NoBEAANCffWRxQ1wwfkSq7C2rtsTG5hOlLQQAAAD9hOEuAADgjFhz+HjcsqoxiimyU+qq4/4L50V1eb7kvQAAgF/u3QumvMjxrs3GuwAAAAAAoBetOtgSX924JzFXW14WdyyfHZV51wUAAIDTKy/LxR3LZ8f0oTWJ2VM9hbjqsY1xsL0jg2YAAADQt/kSBwAAvGzbjrfFNY9tjM5C8mzXyKqKePCi+TGiqiKDZgAAwOm8e8GUeM+CtONdYbwLAAAAAAB6ydFTXXFzykf1PnrOjJhSl3zpHgAAICKirqI87r9wXoyoLE/MHjrVFVc9tinaunsyaAYAAAB9l+EuAADgZTnU3hmXPbohjnclf3irzpfFAxfNi/q66gyaAQAAabx7vvEuAAAAAADoywrFYtz21JY4cqorMftb08bGb0wdm0ErAABgIKmvq457Lpgb5blcYnbTsZNxw8rN0Z3i4W8AAAAYqAx3AQAAL1lrZ3dc/uiG2N/WmZjN5yLuWj4n5o+sy6AZAADwYryU8a4f7DbeBQAAAAAAWfibxn3x+IFjiblpddVx1dnTS18IAAAYkM4ZMyyuXTojVfbR/cfigWe3RbFovAsAAIDByXAXAADwkpzq6YmrHt8YjS1tqfIfPWdGXDRxZIlbAQAAL9W750+J9y6YkirbU4y48UnjXQAAAAAAUGrrjrbG557fmZirLMvFHcvnRG15PoNWAADAQPXbDePiLXMmpcr+36YD8bdb9pW4EQAAAPRNhrsAAIAXrbtQiBtWNsYzh1tT5d81f3L8zvTxJW4FAAC8XO+aP9l4FwAAAAAA9BEnurrjhpWN0VMsJmYvXdwQc0YMyaAVAAAw0P3pWVPjFSkf7X5w7Y748R7nhwAAABh8DHcBAAAvSqFYjDtXN8XD+5pT5X972th4z/zJJW4FAACcKe+aPzneZ7wLAAAAAAB6VbFYjLufboq9bR2J2VdOGhm/P8OjegAAwJlRlsvFrctmx9wU48DFiLhp1ZZYdzTdo+AAAAAwUBjuAgAAUisWi/HQ2h3xbzsPpcpfMH5EXLt0RuRyuRI3AwAAzqR3Gu8CAAAAAIBe9ffbDsT3U/ztfXxNZVx/7kzncwAAgDOqtjwf9184L8bXVCZmO3oKceVjm2LvyVMZNAMAAIC+wXAXAACQ2tc27Y1vbNmXKjt3xJC4a8WcKC/zawcAAPRHL2W86/u7D5e4FQAAAAAADHybjp2MB57dnpgri4jbls2O4ZUVJe8EAAAMPmNrKuOTF82L2vJ8Yra5oysuf3RjtHZ2Z9AMAAAAep8b9AAAQCp/33QgPr9uZ6rslLrq+NRF81N9oAMAAPqud86fHO9fmH6866YnG413AQAAAADAy3Ciqzuue2JzdBaKidn3LJgSZ48ZlkErAABgsJo1fEjcvWJO5HPJ2e2t7fGxJzZFV6FQ+mIAAADQywx3AQAAiX6w+0jcu6YpVXZsdUU8dPH8GFXtJU8AABgI3jHPeBcAAAAAAGShWCzGXaubYvfJU4nZc8cOi7fNq8+gFQAAMNitGD8iPnrOjFTZpw4dj7ufbopiMXmMGAAAAPozw10AAMBprTrYEjevaow0b94Mq8jHQ5csiElDqkveCwAAyM475k2OD7zI8a7/2GW8CwAAAAAAXoxvNR2IH+w5kpgbUVket54/O/K5XAatAAAAIn5n+vh469xJqbL/uuNQfGXjnhI3AgAAgN5luAsAAHhB64+eiGse3xhdheTXbqrzZfHJi+bHjGG1GTQDAACy9vYXOd518yrjXQAAAAAAkNaG5hPxqbXbE3O5iLj1/Nkxtqay5J0AAAB+3gcWTo3XTh6dKvvF9bviuzsPlbgRAAAA9B7DXQAAwC+1/Xh7XPbohmjrLiRmy3O5+PiKubFo9NAMmgEAAL3FeBcAAAAAAJx5J7q64/qVm1M9rvf2efWxYsKI0pcCAAD4H8pyubjpvFmxOOW9gdtXb401h4+XuBUAAAD0DsNdAADALzjQ1hEffmR9tHR2J2ZzEXHz+bMcCAQAgEHiZ+NdU1Nle4oRNz1pvAsAAAAAAF5IsViMO1ZvjT0nOxKzS8cMi3fPT/fABgAAQClU5cvivgvmxuQhVYnZrkIxrnl8U+xsbc+gGQAAAGTLcBcAAPDfHOvoiksf2RAH2ztT5a86e3r82pQxJW4FAAD0JW+fV596vKsQxrsAAAAAAOCF/N3W/fGjPUcTcyOrKuL2ZbOjvCyXQSsAAIAXNqKqIh64aH4MqyxPzB7v7I7LHt0QR06lu58AAAAA/YXhLgAA4P93sqsnLn90Q2xP+aLNexZMjt+fOaHErQAAgL7o7fPq40/PenHjXd8z3gUAAAAAAP+/9UdPxINrdyTmchFx2/mzYkxNZelLAQAApDB1aE3ce8HcqEgxLrznZEdc8ejGaOvuyaAZAAAAZMNwFwAAEBERnT2F+NgTm2J988lU+TfNnBDvmje5xK0AAIC+7G1zX9x4183GuwAAAAAAICIijnd2x3UrN0d3sZiYfef8ybFs/IjSlwIAAHgRzhkzLG48d2aq7MZjJ+O6JzZHd6FQ4lYAAACQjfLeLgAAAPS+nmIxbl7VGE8ebEmV/7Upo+OKJQ2RyyW/jgMAAAxsb5tbHxERn3t+Z2L2P8e7ihHx61PGlLYY/VpNTU0sW7YsMQMAAAAA0B8Vi8W4Y/WW2NfWkZg9b+yweNd8j+sBAP2f78AwMP361LGxt60jvrBuV2L28QPH4q6nm+LGc2e6iwAAAEC/lysWUzzRAwAADFjFYjHuWdMU/7DtYKr8BeNHxH0Xzo2KsrISNwMAAPqTv9y0Jz6bYrwrIqIsIm5ZNtt4FwAAAAAAg9I3GvfFp9ZuT8yNqqqIv37t4hhdXVn6UgAAAC9RsViMO5/eGv+8/VCq/Dvm1cf7F04tcSsAAAAoLTftAQBgkPvi+l2pR7sWjaqLu1fMMdoFAAD8grfOrY8Pnt2so5sAAQAASURBVJXuQF0hIm55sjG+u+twaUsBAAAAAEAf8/zR1vj0czsSc2URcfuy2Ua7AACAPi+Xy8XHzpkRy8YNT5X/ysY98e2m/SVuBQAAAKXltj0AAAxi32jcF1/ZuCdVduawmrj/onlRU54vcSsAAKC/euvc+vjQix3v2pnupU0AAAAAAOjvWjq74oaVjdFTLCZm37VgcpyX8tI7AABAbysvK4u7V8yJ2cNrU+XvW7MtfrL3aIlbAQAAQOkY7gIAgEHq33Ycik+t3Z4qO7G2Kh68eEEMr6wobSkAAKDfe8uLHe9atcV4FwAAAAAAA16xWIzbn9oa+9o6ErPLxg2Pd8ybnEErAACAM6euojweuGh+TKytSswWIuLGlZvjuSOtpS8GAAAAJWC4CwAABqFH9jXHHau3pMqOrKqIhy6eH2NrKkvcCgAAGCheynjXd4x3AQAAAAAwgH29cV88vK85MTemuiJuPX925HO5DFoBAACcWWNrKuNTF82PYZXlidmOQjGueGxjbD/enkEzAAAAOLMMdwEAwCCz5vDxuO6JTdFTTM4OKc/HgxfPj6lDa0pfDAAAGFBe7HjXrca7AAAAAAAYoNYcOh6fe35HYq4sIm5fNjtGVVeUvhQAAECJNAyriU9cMDeqypIHiY93dsdlj26Iw+2dGTQDAACAM8dwFwAADCKbj52Mqx7bGB2F5NWuyrJcfOLCuTF3xJAMmgEAAAOR8S4AAAAAAAa7I6c64/onN6d6ZO99C6fE0rHDS18KAACgxJaMGRa3L5uT6hLzvraOuPzRDXGiq7vkvQAAAOBMMdwFAACDxO4Tp+Ijj2yIE109idl8LuLO5XMcBAQAAF62lzLe9d1dh0tbCgAAAAAAMtBdKMYNKxvjyKmuxOyK8cPjrXPrM2gFAACQjVfWj4qrzp6eKru5pS2ufWJzdBUKJW4FAAAAZ4bhLgAAGAQOt3fGpY+sj6MdyYcAIyKuWzozXjFpVIlbAQAAg8Vb5tbHhxdNS5X92XhXY/xk79HSlgIAAAAAgBL7wrqd8fTh44m5sTWVccv5s6Msl8ugFQAAQHbeOHNCvD3lSPGTB1vijqe2RqFYLHErAAAAePkMdwEAwADX2tkdH3l0Q+w52ZEqf+miafHbDeNK3AoAABhs/mTOpNTjXT3FiOtXbo4n9h8rbSkAAAAAACiRn+w9Gn+1eW9iLp+LuGPZ7BhZVZFBKwAAgOy9f+GU+M2pY1Nlv7PrcHz++Z0lbgQAAAAvn+EuAAAYwE5198SVj22MLS1tqfJvnTsp/njOpBK3AgAABqs/mTMpLk053tVVKMY1T2yKNYeOl7gVAAAAAACcWbtOtMdtT21Jlf3QWdPi7DHDStwIAACg9+Ryubj+3BmxYvzwVPm/3Lw3vtG4r8StAAAA4OUx3AUAAANUd6EQ163cHM8eaU2V/52GcfGnC6eWuBUAADDY/fGLGO/q6CnEFY9tjHVH0/1eAwAAAAAAve1UT09c+8TmONHVk5h9df2oePPsiRm0AgAA6F3lZWVx1/K5MXfEkFT5T63dHt/ZeajErQAAAOClM9wFAAADUKFYjNtXb41H9x9LlX/VpFFxzTkzIpfLlbYYAABAvLjxrrbunrjskQ3R2HKyxK0AAAAAAODlu2/NtmhsaUvMTamrjhvOnem8DgAAMGgMqcjHAxfNi0m1Vanytz21NR7b31ziVgAAAPDS5IrFYrG3SwAAAGdOsViMB9Zuj/+zZX+q/Lljh8UDF82PqrxdXwAAIFt/tWlPfOb5namyI6sq4ouvXBjThtaUuBV9we7du+Oaa645bebee++NyZMnZ9QIAAAAACDZP207EHc+3ZSYq8qXxV+8+qyYNXxIBq0AAPoG34GB/7SztT3e/ePno6WzOzFblS+Lz16yIBaNHppBMwAAAEjPzXwAABhgvrppT+rRrnkjhsS9F8w12gUAAPSKt8ytj3fNT3fgtrmjKz748PrYe/JUiVsBAAAAAMCLt7H5RNz3zLZU2Y+dM8NoFwAAMGhNHVoT9184L9U9ho6eQlzx6IZoOt6WQTMAAABIz+18AAAYQL7ddCC+sG5XquzUuur41MXzo66ivMStAAAAXth75k+OP5o9MVX2UHtnfOjh9XGwvaPErQAAAAAAIL3jnd1x7RObo7NQTMz+3vTx8ZvTxmbQCgAAoO9aNHpo3LlsduRzydnjXT1x6cPrY99JZ4YAAADoOwx3AQDAAPGD3Ufi3jVNqbJjayrj05csiJFVFSVuBQAAcHq5XC4uXTQt3jB9fKr8npMd8eGHN8Sxjq4SNwMAAAAAgGSFYjFue2pL7G1LvkA+f+SQuHxJQ+lLAQAA9AOXTBoV1y2dmSp76FRXXPrI+mh2ZggAAIA+wnAXAAAMACsPHIubnmyM5Dc7I4ZVlsdDF8+PCbVVJe8FAACQRi6Xi6vPmR7/a+qYVPntre1x+aMb4mRXT4mbAQAAAADA6f3lpr3x8L7mxNywinzctXxOVOUd4QcAAPhPv90wLj501tRU2Z0nTsVljzgzBAAAQN/gqx8AAPRz6462xkcf3xTdxeTZrpp8WTxw0byYMaw2g2YAAADpleVyccO5s+JVk0alyq9vPhkfe2JTdPYUStwMAAAAAAB+uacOtsQX1+1Mlb3l/NkxaUh1iRsBAAD0P2+ZWx9/PHtiquzGYyfjmsc3OjMEAABArzPcBQAA/di2421x2aMboz3FR6fyXC4+fsHcOGvU0AyaAQAAvHjlZbm4Y/nsuGD8iFT5Jw+2xM2rGqMnxZAxAAAAAACcSQfbO+KGJxsjzVXxd86rj4smjix5JwAAgP7qw4umxW9NG5sq+9Sh43Hjk43RXXBmCAAAgN5juAsAAPqp/W0dcekjG+J4Z3diNhcRty6bFctTXn4HAADoLRVlZXHPBXNi6dhhqfI/3HM0Pv50UxSNdwEAAAAAkJHuQiGuX9kYzR1didll44bHuxdMyaAVAABA/5XL5eK6pTPjkpSjxz/eezTuenprFJwZAgAAoJcY7gIAgH7oWEdXfOSRDXGwvTNV/ppzpsdrJ48pcSsAAIAzozqfj09cMC/OGlWXKv+P2w/G59ftKnErAAAAAAD4mc88tzPWHmlNzI2rqYzbls2OfC6XQSsAAID+rbwsF3csnx1LRg9Nlf/XHYfigWe3e/APAACAXmG4CwAA+pm27p644tGNsb21PVX+fQumxBtmTChxKwAAgDNrSEU+PnnRvJg5rCZV/mub9sTXN+8tcSsAAAAAAAa7H+w+Et/Ysi8xl8/l4q7lc2JkVUUGrQAAAAaG6nw+7r9wXswaXpsq/82t++PPN+wucSsAAAD4RYa7AACgH+kqFOJjj2+Kdc0nUuX/cNaEeMe8+hK3AgAAKI3hlRXx4MULYmJtVar8Q8/tiH/ZfrDErQAAAAAAGKx2tLbHHau3pspetnhaLBo9tMSNAAAABp6hleXx4EXzY1LKM0Nf3rA7/saDfwAAAGTMcBcAAPQThWIxbl21JVYebEmV/42pY+KyxQ2Ry+VK3AwAAKB0xtZUxqcvmR8jqypS5e96emv8ZO/RErcCAAAAAGCwae/uiY89sSnaunsSs786eXS8aeaEDFoBAAAMTGNqKuOhS+bHqJRnhh58bkf847YDJW4FAAAA/8VwFwAA9APFYjE++ez2+I/dR1LlL5owIm48d2aUGe0CAAAGgCl1NfHQxfNjSHk+MdtTjLhh5eZYc+h4Bs0AAAAAABgMisVi3LOmKZqOtydmG4bWxHXnzvTYHgAAwMs0pa4mHrpkfgytSD4zFBFx99NN8f3dh0vcCgAAAH7GcBcAAPQDX9m4J/5u6/5U2cWjh8Zdy+dEeZkf9wEAgIFjzoghcf+F86KqLPmiU2ehGFc/vjGajrdl0AwAAAAAgIHu77cdiO/sTL78XZMvi7tXzInaFA9RAAAAkGz28CHxwEXzoyaffD+iGBE3PbklHt3XXPpiAAAADHpu8gMAQB/37aYD8cX1u1JlZw6rifsvnBfVDv8BAAAD0Dljh8Wdy+dEPnm7K1q7euIjj2yIA20dpS8GAAAAAMCAtf7oifjks9tTZa87d2bMGFZb2kIAAACDzKLRQ+PeC+ZGRYoH/3qKxbj2iU2x5tDxDJoBAAAwmBnuAgCAPuwHu4/EvWuaUmUn1lbFpy6eH8Mqy0vcCgAAoPdcMmlU3HDurFTZg+2dcfmjG6K1s7vErQAAAAAAGIhaOrri2pWboqtQTMy+aeaE+LUpYzJoBQAAMPgsGz8i7lyW7sG/jkIxrnhsY6w72lr6YgAAAAxahrsAAKCPeupgS9y8qjGSj/1FjKgsj4cunh/jaqpK3gsAAKC3/ea0sXHZ4oZU2a3H2+OaxzdFR0+htKUAAAAAABhQCsVi3LxqS+xv60zMLhxVFx9ZPC2DVgAAAIPXK+vTP/jX1t0TH3lkQ2w6drLErQAAABisDHcBAEAftKH5RFz9+MZUr3XWlpfFpy6eH1OH1mTQDAAAoG948+yJ8Y559amyTx8+Hreu2hKFYpppZAAAAAAAiPiLjbvj8QPHEnMjKsvj7uVzoqLM0XwAAIBS+81pY+Oqs6enyrZ29cSHH14fTcfbStwKAACAwcjXQQAA6GN2trbH5Y9uiLbuQmK2oiwX914wL+aPrMugGQAAQN/yvgVT4vUN41Jlf7DnSHxq7fYoGu8CAAAAACDBEweOxZfW707M5SLitmWzY3xtVelLAQAAEBERb5o5IT6wcEqqbEtnd3zwp+tjZ2t7iVsBAAAw2BjuAgCAPuRQe2dc+siGaO7oTszmIuLW82fH+eOGl74YAABAH5TL5eKj58yICyeMSJX/P1v2x9cb95W2FAAAAAAA/dr+to646cnGSPMMxLsXTI7l40eUuhIAAAD/w9vm1sdb5kxKlT3a0RV/+vD62HPiVIlbAQAAMJgY7gIAgD7ieGd3fOSR9bGvrSNV/uqzp8drJo8ucSsAAIC+rbwsF3ctnxMLR9alyn/6uR3x3Z2HStwKAAAAAID+qKtQiOtWbo6WzuRH9y4YPyLeOW9yBq0AAAD4n3K5XHzwrKnxe9PHp8ofau+MDz68Pg6kvK8BAAAASQx3AQBAH3CquyeufGxjbD3enir/ngWT440zJ5S4FQAAQP9QU56P+y+aF5OHVKfK3/bU1lh1sKXErQAAAAAA6G8eXLsj1h09kZibUFsZt54/K8pyuQxaAQAA8Mvkcrm45pzp8ZtTx6bK72vriD/96fo43N5Z4mYAAAAMBoa7AACgl3UXCnH9ysZYe6Q1Vf73Z4yPd3mtEwAA4L8ZWVURD108P0ZWVSRmu4vF+Ojjm2JrS1sGzQAAAAAA6A++u+tw/N3W/Ym5irJc3L18bgxP8fdoAAAASqssl4vrz50Zr508OlV+98lT8aGH10dzR1eJmwEAADDQGe4CAIBeVCgW466nm+KR/c2p8q+dPDquPHt65LzWCQAA8Avq66rjgYvmRU0++fPHye6euOKxDV7QBAAAAAAgmo63xd2rt6bKXrGkIRaMqitxIwAAANIqL8vFrefPildMHJkqv621PT788PpoMd4FAADAy2C4CwAAetFnntsR/7rjUKrssnHD45bzZ0WZ0S4AAIAXNH9kXdyzYm7kU/zutL+tM654bGO0dfdk0AwAAAAAgL7oZFdPXPvE5mjvKSRmf2PqmPi96eMzaAUAAMCLUV5WFncunxMXjB+RKt/Y0hYffmRDtHQa7wIAAOClMdwFAAC95K827YmvN+5LlV0wckjcs2JuVJT5ER4AACDJigkj4oZzZ6bKbjp2Mm56sjF6isUStwIAAAAAoK8pFotx19NbY3tre2J2xrCa+Ng5MyLn0T0AAIA+qTJfFvdcMCfOHTssVX7TsZPx4YeNdwEAAPDSuPUPAAC94J+3H4zPPL8zVXZaXXV88qL5MaQiX+JWAAAAA8dvThsbH1g4NVX24X3N8cCz26NovAsAAAAAYFD55tb98f3dRxJzteX5uGfF3Kgpd34HAACgL6vO5+MTF86LxaOHpsr/53jX8c7uEjcDAABgoDHcBQAAGfvp3qNx99NbU2XH1lTGgxcviJFVFSVuBQAAMPC8be6keOOM8amyf7d1f/ztlv0lbgQAAAAAQF+x9khrPLh2R6rsDefOjGlDa0rcCAAAgDOhtjwfD1w0LxaMHJIq/7PxrvXRarwLAACAF8FwFwAAZGjN4eNxw8rN0VNMzg6ryMdDF8+PiUOqSl8MAABgAMrlcnHFkulx4YQRqfIPrt0eP95zpLSlAAAAAADodUdPdcV1KzdHTzH5EM+bZ02M10wenUErAAAAzpS6ivL41MXzY/bw2lT5jcdOxocfMd4FAABAeoa7AAAgI40tJ+OqxzZGRyH5wF9Vviw+edH8mDEs3UciAAAAfrnyslzcsWxOzElxCK8YETet2hLrjraWvhgAAAAAAL2ip1iMm55sjEPtnYnZxaOHxocWTc2gFQAAAGfa8MqK+PQlC2LGsJpU+Q3NJ+PSR9bHiS7jXQAAACQr7+0CAAAwGOw9eSo+8siGONHVk5jN53Jxz4o5sWj00AyaAQAADHxDKvJx/0Xz4l0/ej4OJlzE6ugpxJWPbYq/ePVZMWlIdUYN+Z/Ky8ujvr4+MQMAAAAA8GL9+fpdsepQS2JuZFVF3LV8TpSXeSsbAOBM8B0Y6A0jqyris5csjD/96brY1tqemF/ffDIufXhDPHTJ/Kir8P9JAAAAvLBcsVgs9nYJAAAYyI6c6oz3/nhd7D55KlX+lvNnxf+aOrbErQAAAAafxpaT8d4fr4u27uRR5YahNfGlV50VQysdwAMAAAAAGCge2dccVz62MTFXFhGfvmRBnDdueOlLAQAAUHJHTnXGB3+6PtV4V0TEwlF18dDFxrsAAAB4YZ7/AQCAEjrR1R2XP7ox9WjXZYsbjHYBAACUyOzhQ+Lu5XMin0vObm9tj+tWbo7ugvdPAAAAAAAGgj0nTsUtqxpTZd9/1lSjXQAAAAPI6OrK+OwrFkTD0JpU+XVHT8SlD2+I453dJW4GAABAf2W4CwAASqSjpxDXPL4pNh07mSr/trn18ebZE0vcCgAAYHBbMWFEXHPOjFTZJw+2xCef3VbiRgAAAAAAlFpHTyGuXbk5Wrt6ErOXTBwZb5kzKYNWAAAAZGl0dWV87sWMdzWfiA89vD5aOrpK3AwAAID+yHAXAACUQE+xGDevaozVh46nyr++YVx8YOGUErcCAAAgIuJ3p4+Pt85Nd+nqW00H4u+27CtxIwAAAAAASun+Z7alenyvfkhV3HzerCjL5TJoBQAAQNZGV1fGZy9ZENPqqlPlNx07GX/60/Vx9JTxLgAAAP47w10AAHCGFYvFuHdNU/xoz9FU+VdOGhkfPWdG5Bz4AwAAyMwHFk6N104enSr7yWe3x+P7m0vcCAAAAACAUvjn7Qf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vv+7tGAAAAOjH/Dxsui55tN7+ySRN7+JOlBtKqnTxqn16KiVf9W32bk4IAAAAAADQe2pa23T9hgNad7jKUL1F0tLpY3V+7HBzgwEA0A1YS9T9qqur9cgjj2jHjh3dcr3Vq1frpZdeUltbW7dc73v79+/Xo48+qtbW1m69LgAAAOCOk6PC9O5pk7UgMtTt3o9yj+jXq/ZpZ1mNCckAAACA3uHeWFsAAIA+5LP8Mj28O08ON3YMW5IUrcvGRclisZiYDACA7vHqq68qNze3w/MjRozQ4sWLlZSUpIiICHl4eKimpka5ubnatGmTdu7c2e7Omi0tLXriiSf08MMPKyQkxMTvoGds27ZNu3bt6u0YnXI4HHrllVdOeLdTAAAAQJJig/z03IJEfVNUoadT8nW02b0XQOwul97NLtGXBeW6OmmUzo6JkI17ZgAAAAAAoB8rbWzRHzce0ME6Yxv+2CzS3dPj9LPR4SYnAwCge7CW6P8bMmSIRo8erREjRigyMlIhISHy9fWVr6+v7Ha7GhsbVVlZqfz8fO3fv1/FxcUdXsvhcOjZZ5/V8uXLFRsb2+VM+/bt0+uvv37ctUExMTGaM2eOJk6cqCFDhiggIEB1dXWqrKxUamqqtmzZosLCwnZ7MzIy9Nprr+nqq6/uckYAAADgRIX5eOnPc8fps/wyPZmSr0a703Dv4cYWXbshXb+IHaZrJ46Wv6fNxKQAAACA+RjcBQAA+h2ny6Xn0wr0t6zDhns8LBbdNT1WZ42OMDEZAADdZ8OGDdq8eXO756xWqy688EKdffbZslqtPzoXFhamsLAwzZo1S9nZ2XrmmWd09OjRY65RW1urF198UXfccYcp+XtKY2Oj3nzzzWOOz507V1u2bOmFRB374osvdOjQoR8d8/PzU3x8vPbt29dLqQAAANCfWSwWnRE9VCcND9Gr6UX6MLdEDjfnxFa12LVyd54+zj2imyeP0dTwIHPCAgAAAAAAmCi3plF/3HRA5U2thuo9rRatmJWgRVFDTE4GAED3GOxriQIDAzV16lQlJSVp/PjxCg93b/BmXl6ePvjgA6WmprZ7vq2tTc8//7weeeQR2WzuDw+oqanRCy+8IKez/aEFAQEB+s1vfqMFCxYcs/lwaGioQkNDNXbsWJ177rlau3at3nvvPTU2Nh5znQ0bNmjixIlasGCB2xkBAACA7mKxWPRfY4ZpRniw7t2Zo5SKOrf6P8kr1aYjVbp1SqzmR4aalBIAAAAwn7XzEgAAgL6jvs2u27ZkujW0K8jLQ88smMDQLgBAv9HU1KT33nuv3XMWi0VXX321zj333GMW2v2n+Ph43XfffYqIaP//gSkpKdqxY8cJ5+1N7777rqqrq390LDw8XOeff37vBOpAaWmpPvnkk2OOX3TRRQoODu6FRAAAABhIAjw9dOPkGL21eJJmdHHwVlZNo5as3687tmaqsL6pmxMCAAAAAACYZ0dZjX6/Ls3w0C5fm1WPzxvP0C4AQL8xmNcSnXLKKbrnnnv0wgsvaMmSJVqwYIHbQ7skKTY2VnfeeacuvfTSYwZnfe/w4cP67rvvupTzgw8+UG1tbbvnQkJCtGzZMi1cuLDDr/09q9WqxYsX66677lJAQEC7Ne+88067Q70AAACAnhYV4KMXFyXpuomj5GU9/mfd/3SksVV/2pyhu7Zm6ajB+3oAAABAX8PgLgAA0G8cqmvSlWvTtKGkynBPdICPXjt5oqaFMxADANB/fPnll8cMo/reOeeco5NOOsnwtUJDQ3XzzTfL09Oz3fPvv/++XC5XV2L2uoyMDK1du/aY45dddpm8vLx6IVHH/vrXv6q19ccPFMeOHavFixf3UiIAAAAMRHHB/np2QaIenTNOUf7eXbrG2uJK/fKbfXp830HVtLR1c0IAAAAAAIDu9Vl+mf648YDq2xyG6gM9bXpmQaJmDQsxNxgAAN1oMK8lOvvsszVhwoROh5IZdcYZZ+iiiy7q8Pzq1avdvmZpaanWrVvX7jmbzaZbbrlFI0eOdOuasbGxuvnmm9sd9FVbW6vPPvvM7ZwAAACAGWwWiy4ZF6W/LZ6siUPaHz57PKuLK3TRqr36e16pnH3odxEAAADACAZ3AQCAfmFjSZUuX5Oq/Lomwz3TwoP02ikTNSrQ18RkAAB0r9bWVn3zzTftnouIiNAFF1zg9jVHjRqln/3sZ+2eKykp0c6dO92+Zm+z2+167bXXjlkoOHPmTE2dOrWXUrVvw4YNSk1N/dExq9WqK6+8stsWFQIAAADfs1gsWhQ1RO+fNkXXThwlPw/3P3PaXS59kHNE53+9R29nHVaLw2lCUgAAAAAAgK5zulx6Pq1AK3blymHwhb4wH0+9sChJyWGBJqcDAKD7sJao+5199tmKjo5u91x+fr6qqoxvMCxJ3377bYfDzs455xzFxsa6nVGSxo8frzPPPLPDr9nY2Nil6wIAAABmiAny1csnT9QNyaPlbT12AO3x1Lc59MiePP1h3X7l1fI5FwAAAP2HR28HAAAAOB6ny6XXM4r1cnqhW33nxITr9qmx8mQYBgCgn9m+fbtqa2vbPXf++efLw6Nrv8qfc845+uabb9TUdOwQzG+//VYzZ87s0nV7y6effqri4uIfHfPx8dFvf/vbXkrUvrq6Or399tvHHD/jjDMUExPT84EAAAD6icDAQJ1//vmd1qBjXjarfjsuSj8bFa4X9hfo80PlcndPyvo2h55JPaSPc4/o6omjdNrIMFnb2dkdAAAAAACgJzXbHXpgV66+Laow3DM6wEdPzp+gEf4+JiYDAKD7sZao+1mtVi1atKjdNT2SlJeXp+nTpxu+3pYtW9o97u3trbPOOqtLGb937rnnatWqVbLb7T863tjYqI0bN+r0008/oesDPY3nwAAADGw2i0W/Thih+ZGhenBXrlIq6tzqT6mo0yXfpuiScSN0+fiR8rbxXiAAAAD6NgZ3AQCAPquhzaH7dmZr3WHjO1dZJF07cZR+kzBCFl4iBAD0Q5s2bWr3eGBgoObNm9fl6/r5+Wn+/PlatWrVMef279+vmpoaBQcHd/n6Pam4uFifffbZMccvuOAChYWF9UKijr399tuqq/vxA8chQ4Z0abdTAACAwSQ4OJjPTN1kqK+X7pkRpwvGDtfj+/LdXhAnSSWNLVq2PVvvZR/WDcmjNS28f/zuAAAAAAAABp7SxhbdtiVTGdUNhnuShgTo8XnjFeLtaWIyAADMwVoicyQnJ3d4rry83PB1CgsLVVlZ2e652bNny9/f3+1sPxQcHKwZM2Zo69atx5xjcBf6I54DAwAwOIwO9NWLi5L0YU6JXkgrUIvT+HaDdpdLr2cUa1Vhhf40JUbzhoeamBQAAAA4MQzuAgAAfVJBXZNu3ZKp/Lpjd/LqiLfNqvtnxunkqL41sAMAAKMaGxuVlpbW7rlZs2Z1eYfM75100kntLrZzOp3auXOnFi9efELX7wkul0uvvfaa2trafnR89OjROvPMM3spVfvS0tK0YcOGY47/9re/la+vby8k6j0HDx7Url27lJubq8OHD6u+vl6tra3y8fFRSEiIxo4dq8mTJ2vmzJlu/z13OBxKS0vT3r17dfDgQZWVlamxsVEOh0N+fn6KiIhQQkKCZs6cqfHjx5v0HR7L6XQqMzNTBw4cUF5enkpLS1VTU6OWlhY5nU55e3srNDRUw4cPV3x8vCZNmqSYmBjTc9XW1iojI0OFhYUqLi5WSUmJ6uvr1dTUpObmZtlstn//XIYNG6aYmBglJiYqISFBVmvv7lrV1tam1NRU7d27V4cOHVJpaamamppktVoVFBSkwMBAxcTEaMqUKZo4caJ8fHx6NS8AAH3NhNAAvbwoSauKKvRM6iGVNbW6fY0DVQ26en26FkSG6rqJoxUTNLg+1wIAAAAAgN6VWlGn27ZkqrKlrfPi/3PS8BCtmJ0gXw+bickAADAHa4nMExra8cv/zc3Nhq+Tk5PT4bnjDQdzR3JycruDu3JyclRRUdHnNjrsjN1uV3p6uvbs2aNDhw7pyJEjampqkt1ul7+/v4YOHar4+HjNmjVLEyZMcPv6jY2N2rlzp9LT03Xo0CFVVVWpsbFRFotFgYGBioyM1IQJEzRv3jwNHz7chO+wfc3NzUpNTVVGRoYKCgpUXl6u+vp6tbS0yGq1ysfHR2FhYYqKitK4ceM0derUHvnZHjlyRFlZWSouLlZRUZHKysrU0NCgpqYmtbW1ydPTU76+vhoyZIhGjBihMWPGaNKkSYqKijI9W2fq6+u1a9cupaWlqaCgQFVVVWpqapK3t7eCgoIUEhKihIQETZkypU+sfQIAYLCxWSy6OH6EThoeqgd35Wqfm5sNFjU066ZNGVoYGaqbJsdohD/rggEAAND3MLgLAAD0OZtKqrRsR7bq2xyGe8J9PPXneeM1ITTAxGQAAJjrwIEDcjja///ftGnTTvj68fHxCgwMVF3dsQ+9UlNT+8Viu7Vr1yojI+NHxywWi6688so+tbCmtbVVr7322jHHp0yZolmzZvVCou6Tnp6uBx988JjjEyZM0D333POjY/v27dPHH3+s3Nzcdq/V0NCghoYGFRcXa/369QoKCtJFF12kk08+WRaL5bg57Ha7vv32W3322Weqrq5ut6aurk51dXXKzc3Vl19+qdjYWF166aWKj4839s12QXV1tb788kutX79eNTU1HdY1NjaqsbFRxcXF2rVrl95//31FRUXpnHPO0fz587vt77PL5VJ2dra2bdumtLQ0FRUVyeXqeNcqp9OptrY21dXVqbCwUDt37pT0r90uTznlFP3sZz9TQED3fOZ+4IEHdODAgWOO33333UpMTPz3n+12u7766it98cUXHf6sy8vLVV5erry8PK1Zs0a+vr76+c9/rjPPPFOenp7dkhcAgIHAYrHo9OihWhgZqrezDuutrMNqcTjdvs6GkiptPlKln48ZpqsmRGuID/+/BQAAAAAA5vpnfpke3pOnNmfHzzn+03/FROi2qbHysB7/uRMAAH0Va4nM4+Xl1aVz/+nw4cMdnouLi3MrU1euk5KSolNOOaVbvk5Xffzxx/r73/9+zPHzzz9fF1xwwb//7HQ6tWrVKv3zn/9URUVFu9eqra1VbW2t8vLy9PXXX2vUqFG67LLLDG3WV1NTo08//VSrV68+ZlPI71VWVqqyslL79+/XJ598otmzZ+uSSy457iC3E3Xo0CH985//1M6dO9XS0tJujcPh+Pd6nfz8fG3atEkWi0UTJ07Uz3/+8y4NMOtIW1ub9u7d++/hZh39LL7X0tKilpYWVVdXKy8vTxs3bpQkRUdH64wzztCiRYtks3XPkNxf/epX7R5/9913f/Tn2tpaffLJJ1q3bp1aW4/drOj7dVlHjhxRRkaGPvvsM0VEROhXv/pVv1+7BwBAfzQq0FcvLkrSPw6W6tnUAjXYjb8vKEnrS6q0tbRavx0XpUvGjZBPN332AAAAALoDg7sAAECfYXe69FJ6gd7K7PghdnsmhwXqoTkJCvMx/qAcAIC+KD09vd3jVqu1WxbfWCwWJSYmatu2bceca294Tl9TXV19zCIcSTr11FO7baFbd/nkk09UWlr6o2NeXl667LLLeidQD2ttbdVf//pXrV+/3q2+2tpavfLKK9q9e7euu+46eXt7t1tXXFysp59+WoWFhW5dPy8vT/fdd58uueQSnXHGGW71dsZut+t///d/9emnn7a7IMyI4uJivfjii/rqq6+0ZMkSjRo16oQyffbZZ/r222919OjRE7qO9K/Fjf/4xz+0atUq/frXv9bJJ598wtc0oqioSM8884zbP+umpia99957Wrt2re644w5FRESYlBAAgP7Jx8OmqxKjdU5MhJ5LK9DXhe5/XnC4pE/ySvVlwVH9OiFSv4ofIT8PFsYBAAAAAIDu1eZ06ol9+fokr7Tz4v9jkXRd8mj9Oj6y081iAADoy1hLZJ7a2toOzwUFBRm+TkdDjywWi8LDw93O1Z5hw4Z1eG7//v29PrjLiPLycj311FPKy8tzq6+goEAPPPCALrjgAp133nkd1u3atUsvvfSS6uvrDV/b5XJp69atSktL080332xoOJg7ampq9M477/x70JW7XC6XUlNTlZqaqjlz5ujyyy9XYGBgl/O0trbq9ddf144dO9TY2Njl63yvsLBQr776qj7//HMtWbLE1I0Uf2jHjh165ZVX3PpZS1JZWZmefPJJTZs2TTfccINbA/oAAMCJs1osOj92uBZEDtHj+w5qTXGlW/2tTpdePVCkzw+V66ZJMVo4IpT7fgAAAOgTrL0dAAAAQJJKG1t0zfr9bg/t+kXsMD23MJGhXQCAAeHgwYPtHo+KipKPj0+3fI3Y2Nh2j9fV1XXLcB8zvfnmm8csGgoODtYvf/nLXkrUvoKCAn3xxRfHHD/vvPMGxfCgxsZGrVy50u2hXT+0a9cuPfroo7Lb7cecO3DggO655x63Bzl9z+l06s0339Q333zT5Xz/qaKiQvfee68++uijLg/t+qH8/HwtX7683YWx7ti4cWO3/3vd0NCgl19+Wa+99pqcTme3Xvs/7d+/X/fee2+Xf9aSdOTIEd1///0qKSnpxmQAAAwcw/y8df+seL1xarKmDTX+EsoPNdodeiW9SOd/tUcf5ZSozeTPCAAAAAAAYPAobWzRH9btd2tol7fNqofmJOg3CSN4eQ8A0O+xlsg8xxsgNWbMGMPXaWpqave4r6+vrNbueWXLy8tLnp6e7Z7r6O9IX1JQUKDly5e7PbTrey6XSx999JHef//9ds9//vnneuyxx9we5PS9+vp6PfLII8rNze1Sf3sOHDig22+/vctDu/7T1q1bdffdd6uoqKjL12hubta6deu6ZWjXD5WUlOj+++/XunXruvW67fnnP/+pJ598sss/a0navXu3Hn30UTU3N3djMgAAYFS4r5cemjNOf5k7TsN83X8XsKSxRbdtzdRNmzJUUNf+Z3EAAACgJzG4CwAA9LrNR6p0yeoU7auoM9zjabVo6bRY3TY1Vp7d9GAbAIDeVlBQ0O7x0aNHd9vXiImJ6fBcfn5+t32d7rZ79+52hxj9+te/lr+/fy8kap/T6dQrr7wih8Pxo+NRUVE666yzeilVz7Hb7XriiSeUlZV1wtc6cOCA/va3v/3oWFZWVrctnHrrrbc6/HfOHcXFxbrnnnu6vLiwIy0tLXrmmWe0efPmbr1ud1m9erVef/11066fk5Ojv/zlL92yWLCyslKPPfZYu4PgAADAv0wIDdDzCxP1l7njFBPo26VrVLW06S/78nXh13v1VUG5nC5XN6cEAAAAAACDyc6yGl26JkX7K42/lD/E21MvLEzUKVFhJiYDAKDnsJbIPFu3bm33eGhoqEaMGGH4Om1tbe0e767Bat/z9vZu9/iRI0c6HB7WF1RUVOjRRx9VdXX1CV/rs88+O+bn9tVXX+mdd9454Wu3tLToqaeeUktLywlfa9u2bVq5cqVqa2tP+Fo/VF5ergcffPCEhneZxeFw6OWXXzZ1ndPXX3+td999V65ueAaZnp6uN998sxtSAQCArlowYojeO22KLoob3qVBB1tKq3Xxqn16Yl++alra/0wOAAAA9ASP3g4AAAAGL7vTpZfSC/RW5mG3+sJ9PPXQnHFKDgs0KRkAAD2vqqqqwwE1w4cP77avc7xrlZSUdNvX6U7Nzc164403jjmelJSk+fPn93yg4/jmm2+O2X3RYrHoiiuukIfHwL8N8+GHH2r//v0/Oubp6amkpCRNnTpVQ4cOVXBwsFpbW1VZWanU1FRt3769wwWE3377rRYuXKixY8eqpqam3QVyoaGhmjp1qsaPH6/Q0FD5+fmpvr5ehw8f1s6dO4/J8z2n06nXX39dy5Yt6/Ju60ePHtWKFSuOu7jQ19dXiYmJSkxMVEREhAIDA+Xh4aHa2lqVlpYqJSVFaWlp7S7kdDqdevHFFxUREaG4uLguZfxPFotFERERio2NVWxsrMLCwuTv7y9/f385nU41NDSosrJSOTk5SktLU3l5eYfXWr16teLi4rRo0aJuyfa92tpavfXWW8f8rIOCgjR58mQlJiYqJCREQUFBam5uVlVVldLS0rRjxw41NDS0e83Dhw/rH//4hy644IJuzQoAwEBisVi0YMQQzR0eqs/yS/VyeqGqWtwffHm4sUXLd+Tob1mHdU3SKM0bHtLlz1sAAAAAAGDwcbhcejOjWK+kF8rpRt+4EH89Onechvu1P9QCAID+hrVE5snKymp3A0FJWrx4sVvPNTpaD9Qdm9L9UEcDpVwul0pKShQbG9utX687OJ1OPf3006qsrPzR8YCAAE2dOlVJSUkKDQ1VQECAGhoaVFpaqj179mjPnj0dDmd66623NHnyZPn6+io9PV1vv/32MTXR0dGaOnWqxowZo+DgYHl5eammpkYHDx7U1q1bOxx8dfToUf3jH//QRRdd1OXvec+ePXr22WeP2fTxh4YMGaKJEydq3LhxCg0NVWBgoJxOp2pqalRYWKg9e/YoJyen3d7a2lr9+c9/1ooVKxQQENDlnD9ks9kUHR2tMWPG/Pufmb+/v/z8/NTa2qqGhgYdOXJE2dnZSklJ6fC/Sy6XSy+//LJGjx6tqKiobsn2vf379+utt9465nhkZKSmTJmiuLg4BQUFyd/fX3V1dSorK9PevXu1d+/eDn8W69at0/z585WUlNStWQEAgHH+njbdPHmMzowO18rducqucW+zX7vLpfdzSvT5oTJdPn6k/nvscHnZujIGDAAAAOi6gf/GKAAA6JNKG1t09/ZspVTUudU3KSxQD89JUJiPl0nJAADoHccbjhMREdFtXycsLEw2m63dBSnHy9CbPvzwQx09evRHxzw9PXXFFVf0UqL2VVRU6KOPPjrm+IIFCzRhwoReSNSziouLlZGR8e8/WywWnXTSSbr44osVGhrabs+8efN00UUX6dVXX9Xu3buPOe9yufThhx/qzjvv1Msvv6yqqqp/nwsMDNQFF1ygxYsXy2o99iFrcnKyzjjjDKWmpuqFF15od7hWZmamdu7cqZkzZ7r9/ba2turxxx/vcGhXYGCgzj77bP3kJz+Rr69vh9c544wzVFFRoQ8++EAbN2485rzdbtfTTz+tRx999IR2Y42NjdXcuXM1Z84chYV1vsv8KaecIqfTqb179+qDDz5QYWFhu3Vvv/22pk2bpsDA7huq+7e//e1H/1wDAgJ03nnn6bTTTutwweu8efP0q1/9Sm+//bbWr1/fbs1nn32m008/XUFBQd2WFQCAgcjDatH5scN1evRQvZ11WO9ml6jF4c5rsv+SU9OomzdnaOrQQF07cTRD+AEAAAAAQKcqmlu1fHuOdpTXuNX3k5Fhumf6WPl42ExKBgBAz2MtkTmKior0xBNPtDsYKiQkRKeffrpb1+toLUdTU5OcTme7a1rc1dra2u6GcN8rKyvrk4O7vvvuux+t//D29tY555yjs88+W15ex64DnzhxohYvXqy8vDw9//zzOnz42I2hq6ur9fXXX+v000/Xc889J6fz/z/Dio6O1m9+8xslJye3m2fq1Kn6+c9/rlWrVuntt99u9+/8559/rjPPPFPBwcFuf78lJSV67rnnOhwUNXLkSJ133nmaPXt2h38vZsyYofPOO0/Z2dn629/+1u4Ar/Lycr366qu68cYb3c74PZvNpuTkZM2dO1fTp0+Xn59fpz0//elP1dLSovXr1+ujjz5SfX39MTWtra167bXXtGzZsi5na8/zzz//o39no6KidPHFF2vatGkd9ixevFhFRUV6+eWXOxyE9s4772jlypXdmhUAALgvcUiA3jh1kj7KLdHL6UVqtHc8BLU9dW0OPZ16SB/nHtE1E0fpJyPD2GQQAAAAPYbRsQAAoMdtKqnSJatT3B7adf6YYXp+YSJDuwAAA1JFRUWH5zoaetQVVqu1w6E1fXGxXV5enr7++utjjp9zzjmKjIzshUQde+ONN9TU1PSjYwEBAfrVr37VS4l6Vm1t7b8XSFmtVv3+97/XNddc0+nf35CQEN10002aPHlyu+fT0tL06aefas+ePf8+FhkZqRUrVui0007rdIFjcnKy7rjjjg6HZ3U05Kkzn3zyifLz89s9l5CQoIceekjnnHPOcYd2fS8sLEzXXHONrrzyyna/n6NHj+qTTz5xO6PFYtHUqVP14IMP6sEHH9RZZ51laGjX96xWq6ZNm6YHH3xQp556ars1DQ0N+vLLL93Odjw/HNA2YsQIrVy5Uj/96U87HNr1vYCAAC1ZskRnnHFGu+ftdrs2bdrUrVkBABjIAjw9tCRplD46fYrOGh2uri5n23O0Tld9l6ZbN2cor9a9nTEBAAAAAMDgsb20Wr/+NsXtoV1LkqL14Kx4hnYBAAYc1hJ1L7vdrq+++krLly9XTc2xnzcsFot+//vfKyAgwK3rdvSzcLlcx2xU2FVlZWXHPd9Xf04/HNoVFBSk5cuX6/zzz293aNcPxcbGaunSpRo6dGi759esWaP333//R+tLpk+frgcffLDDoV3fs1qtOuOMM/S73/2u3fN2u12bN28+7jXa43Q69eKLL6qxsf1nYaeeeqpWrFihuXPnGhrmFh8fr+XLl2vhwoXtnt++ffuP1lIZ5enpqdNPP11PPfWUbrvtNi1YsMDQ0K7veXt767TTTtMjjzyi+Pj4dmsyMjKUlpbmdrbj+eHPeubMmVq5cuVxh3Z9b+TIkbrrrruUkJDQ7vn8/HwVFBR0W04AANB1HlaLLo4foY/PmKKfjQrv0jUON7bo7u3ZuvK7NO09WtvNCQEAAID2MbgLAAD0mGa7Q4/tPaibN2eoptVuuM/batHSabG6fVqsPLth5ykAAPqi2tqOHw51ZQe/4+noenV17g3VNJvD4dArr7xyzA6Xw4YN07nnnttLqdq3bds27dq165jjF198cYeLGweyq666SosWLTJcb7PZ9Lvf/a7dhXkul0sffPDBv/88ZMgQLVu2rMPFee0ZNWqUzjvvvHbP7du3z+2/+8XFxfriiy/aPTd+/HgtXbpUQ4YMceua0r92erz00kvbPbdq1ap2F44ez5/+9CfdeuutJ7yrqqenp6688kqddNJJ7Z5fs2ZNh7uFnojw8HAtX77crZ+1JP3mN79RVFRUu+e6OqgNAIDBbJift5bNiNNbiydpVkTXfzdZX1KlX6/ap/t35uhIY0s3JgQAAAAAAP1Zq8OpZ1MP6YaNB1TV0ma4z9/DpkfnjtPl40fKYunqyHEAAPou1hJ1nd1uV21trYqKirRp0ya9/vrruvbaa/XWW28dsymf9K+hXUuWLNGUKVPc/lrDhw/v8FxOTo7b12tPdnb2cc/39Z+Tt7e37r77bsXExBjuCQ0N1W9+85t2zx09elTffvvtv/88efJk3XTTTfL09DR8/YULF2rq1Kntntu4caPh63zvu+++6/DndM455+iqq65yK5/0r/VUS5Ys0Zw5c9o9/9FHH7l1PT8/Pz355JO67LLLurSu6YdCQ0N16623drg+Z9WqVSd0/Y7MnDlTf/zjH936Z+nj46Orr766w55169Z1VzwAANANwny8tHxmnF5elKSEYOMDRn9of2W9/rBuv27fkqmDbDIIAAAAk3n0dgAAADA4HKiq1/Lt2TpU3+xW36gAH62ck6D4YH+TkgEA0DfU19d3eM7X17dbv1ZHu+QdL0Nv+Pzzz3Xo0KFjjl9xxRWd7rzYkxobG/Xmm28ec3zcuHH6f+zdeXxcd33v//fs+0ijfbHkRd4T23H2xWQlJIQsJECSFkJSoNCWpb0s6b00LA0t5eZ24UJ/FyglEEqhTUkIhISENCF7grPHsS0vsmQt1i6NltmX8/tjZNmyRo40Gmm0vJ6PxzzO6HvOfM9Hlm1Jcz7n/b344ovnv6ACO/vss3P6vEtKSnThhRdOaKw70dHVTXNpQL3iiiv0wAMPTFrZMplMau/evTr77LOnPdd9992XNaiqrKxsxo2AJ7r88su1a9cuvfzyyxPG4/G4Hn/8cd1www3TnquioiLnOk5kMpn0kY98RLt27ZrUHDw8PKy33npL27Zty9v5zGazPvnJT8rn8834tRaLRTfeeKP+6Z/+adK+w4cPa3R0dMYr5AIAAGl9sUff2rFJL3YH9c9vterg0Mwb29KSHjrcq9+29em9qyt124ZalbkWzs/2AAAAAABgfh0aDusrOw9o/wzfZ1jjd+l/n7tB9b78XkcFAGAhoZfo7f3pn/7pjBdBO1FJSYn+7M/+TJs3b87p9StXrpxy31tvvaXzzz8/19LG7d69+6T7F/rX6Q/+4A+0YsWKGb/u7LPPVm1trTo6OqY8xuv16hOf+ITMOSwMff311+u1116bNN7c3Dyj3pJkMqkHHngg677TTz9dN99884xrO97HPvYxHTx4UH19fRPGW1patHfvXm3atGla81itVgUCgVnVcryjf/Zf/vKXJ+177bXXFIlE8vp/VUlJif74j/84p691ZWWlLr30Uj366KOT9r3dvy8AAFAY28r8+tFlW/WLQ9367u5WjSRmvsDwk0cG9PSRAV1RX6aPbarTCq9zDioFAADAcjfzd6sAAABmIJk29K972/TR370149CuK+vK9KNLtxLaBQBYFk4MEzpevpvtpprvZDXMt+7ubt1///2Txs877zxt2bKlABVN7ac//amCweCEMYvFoo985CPLbnVvi8WiW265JefXn3POOSfdf9ppp2nr1q05zW2z2aZcKTNbQNxUBgYGtHPnzqz7br755pyCpk500003Zf278/TTT8967tlwuVy6+uqrs+5766238nquHTt2aP369Tm/fvv27VM2Fs/k6w0AACYymUw6ryqgf7tsq/76rLWqcTtymieRNvRfTV264dHX9K03WxSMJfJcKQAAAAAAWMgMw9B/HezUbY+/OePQrnfVleruS7YQ2gUAWPLoJZpbRUVFuvnmm/X3f//3OYd2SVJDQ4OczuwBAC+88MKs/wyHh4en7FM5KhQKzeocc6mmpkaXX355zq9/u4X4rr32WhUXF+c0d0NDg0pKSrLum0lvyc6dOyeFakmZXqVbb7111v1jbrdb1157bdZ9zzzzzKzmnq21a9dm7cc6upBiPt14442zWqjvggsuyDre0dGhRIJrlQAALEQWk0nvb6jSf12xXdetqlAuP1WlJf2mtU83/vY1/e0rTeoMxfJdJgAAAJY5grsAAMCcaR2J6ONPvaXv72lXyjCm/TqH2aS/On2NvnrWWnlsljmsEACAhSOZTE65z2az5fVcU823kBpQ7r77bsXj8Qljbrd7VqFQc6GxsVG/+93vJo1fddVVqqurK0BFhXXGGWeotLQ059evX7/+pKsivutd78p5bklTNlrOpNnumWeeUTqdnjS+YsUKnXfeeTnXdrza2tqsAXU9PT0nXUV0PpxxxhlZxw8cOJDX81x55ZWzer3Vap3y693S0jKruQEA8yMej6u9vf2kjxN/XsT8MZtMurK+XPdecZo+v22VAo7cfmeJpdL69wOduv6RVzOrY8an/r0IAAAAAAAsDZ2hmD7z7F79/RstiqWn309kNZn0P7au0p1nrZPLSj8RAGDpo5dobjgcDv3BH/yBvv3tb+vaa6+dMnRrumw225SL0MViMT3yyCOzmv/Xv/71Sf8uSCf/u1Jol19++ayCqzZt2jTlPrvdrosvvjjnuU0m05Tzz6S35Kmnnso6fvHFF6u8vDyX0ia58MILsy5g9/rrr+dl/tmYqpfo4MGDWcdPdh14Kn6/f9Z9WWvXrpXHM3kx8VQqpba2tlnNDQAA5lbAYdMXz2jQDy/dotPKcltgOWVIv2rp0fsffU13vXZIPRECvAAAAJAf1kIXAAAAlh7DMHT/oW59a9dhRVOTQw1OZqXXqb89d73WFU2+MAYAwFJ2sgYqiyW/jedTzbdQmrieeeYZ7dq1a9L4jTfemPMKiXMhmUzqBz/4gYwTAkrLysp0ww03FKiqwjr33HNn9Xqbzaby8nJ1d3dP2udyubKGWc1ETU1N1vHe3t5pz/HKK69kHT/vvPNmvULm8bZs2aI333xz0viePXtUW1ubt/PMVHV1tfx+v4aHhyeMn6x5LpdzrFq1atbz1NXV6eWXX540PpOvNwCgcHp6enT77bef9Ji77rpLK1asmKeKkI3NbNYH1lbrPasq9NMDR/Tv+zsVTqZmPE84mdYPGzv086YufWh9jW5cWy03N+ACAAAAALCkGIahB5p79K1dh2f8/kGN26G/OWedTinJ7cY8AAAWI3qJ5kYsFtPPfvYzPfzww7rsssv0rne9S36/f1ZzXnLJJdq5c2fWfQ888IDOPPNM1dfXz3jeAwcO6OGHH37b4xby12m2vURT9fpI0imnnCKv1zur+afqwZlub0kkEtGePXuy7svXAoBSJqRsw4YNeu211yaMB4NBdXR0FLSXaP369VnHpwrDms514BOdddZZeQksrKurU2Nj46Txvr4+rVmzZtbzAwCAubUp4NV3LzxFT3cO6p93HVbraHTGcyQNQ/cd6taDLT26YU2VPryhRqVO+xxUCwAAgOXCXOgCAADA0tIdjul/PNeou15vnnFo15V1ZfrRZVsJ7QIALEvp9NTfN83m/P76PtV8J6thvoyMjOgnP/nJpPE1a9bone98ZwEqmtovf/lLdXR0TBq/9dZb5XA4ClBR4a1bt27Wc0y10mRDQ8Os/y1MNXc4HJ7W60OhkJqamrLuO+uss3KuK5sNGzZkHZ/Jip5zpaioaNJYOBxWKBTKy/xTfe4zVVlZmXU8EonkZX4AAHCM22rRxzbV6f4rt+vmtdWymXMLNB1JpPSd3W26/jev6qf7jyiamnkIGAAAAAAAWHg6QzF95tm9+sZrh2Yc2nVpbYl+fNlWQrsAAMsOvURza2hoSPfff7/+/M//XP/93/89q7m2bt065QJlyWRSd911l44cOTKjOQ8fPqx/+Id/mNbXYKF+nSorK7P2mMxESUnJlMFy+ehTKisryzo+3V6iPXv2KJXlepbf789b/8tRC7WXaKqvcV9fX97OMVU42ExN1Us03a83AAAoPJPJpItqSvSzy7fp86etVrHdmtM88bSh/zjYqff+5lXd9dohHQnNPAQMAAAAkKTcfiIFAAA4QcowdP+hbv2/t1pn3GDnsJj1uW2rdO2qCplMud3UBwDAYneyhrpUKpXXlTKzNQtJ+V+NMxc/+clPNDIyMmHMbDbrox/9aN6bDmejo6NDv/rVryaNn3nmmTrjjDMKUFHh+Xw+lZaWznoep9OZdXzlypVzNvd0g5xaWlpkGMakcZvNdtIVPnMRCASyjnd2dub1PLnweLIH7QaDwSn3zUQ+vtaS5HK5so4T3AUAwNwJOGz6H9tW6ea11fr+3jY9fLhXk396envBeFL/d9dh/fuBI/qjjSt03eoK2RbQ7wMAAAAAAGB6Uoahew926Xu7WxWZ4QKAdrNJf7F1lW5YU0k/EQBgWaKX6O196Utfylp7JBJROBxWMBhUU1OT9u3bp/b29qxzxGIx3X333dq9e7c++clPymqd+W1WJpNJt9xyi/7mb/4ma1/JwMCA7rzzTn34wx/W+eeff9K5DMPQU089pZ/85CfTDhPKpeb5kK/+D4fDkfXPYiH0Eh06dCjreF1dXd5/hi0pKck6PtNQuHzzer1Zx4PBYN7OMVUw3kzRSwQAwNJhNZv1gYYqvbu+TPfs69B/HOhUPD3zLqV42tB9h7r1QHO33rmiTLdsqNG6otn3QgMAAGD5WJjvzgIAgEXl4FBIf/fqIb01MDrj154S8OorZ63VSl/2C2EAACwXJ2ugynez3VSrLBa6iWvXrl165plnJo1ffvnlWr16dQEqys4wDP3gBz9QIpGYMO50OnXrrbcWqKrC8/nys8r5VA1x+Zh/ts12ra2tWccrKyvzHiw31ec7MDAw67l7enp08OBBtba2qq2tTX19fYpEIopGo4pEIlM25L6daDQ/q03l6+8SzXYAABROtcehL5+5Vh9cV6Pv7G7VM52DOc3TF03o/7zerJ/sP6LbNtbqPSvLCfACAAAAAGCR2BcM6euvNKkxGJrxa9cWuXXnWevUUOSeg8oAAFgc6CV6e9NZZO3iiy+WJB04cEAPPfSQdu7cmfW43//+9zIMQ5/5zGdy6gHZtGmTrrzySv3mN7/Jun94eFj//M//rIceekjnnnuutmzZokAgII/Ho1AopP7+fu3atUsvvPBC1v6UmpqaKQOabDbbjOudD/nsJcoW3DWXvUTT7YFpa2vLOp7vBQClqQOyBgdzuw53vObmZrW0tIz3Eg0NDU3oJcoWSPd28tVHJM19Xxq9RAAALF5em1WfPHWl3remSt/d3arftPblNE/KkB5t69OjbX26oKpYH95Qq9PK/HmuFgAAAEvRwn4XHQAALGixVFo/bGzXj/cdUWqGF+QsJukjm1botg0rZDWzKiYAACdroIrH47Lb7Xk7VywWm3ENcy0ej+vuu++eNB4IBHTjjTcWoKKpPfHEE2psbJw0/r73vU+lpaUFqGhhcLvzc+PEVM2PHs/sVy+aau7pNpf19WW/mNve3q4//MM/zLmumRgdnXlYriSFQiE9/fTTeuGFF3Tw4ME8V5VxYphdrvLxtZam/npP1XAMAADyr6HIrb8/f6Pe7B/Rd3e36pXe4Zzm6QzH9HevHtIPG9t124YVunoVAV4AAAAAACxUo4mkfrC3Xf95sFOpmd/frw+uq9afnFIvu4Xf/QEAy9ty7yXKt3Xr1ukv/uIvtHPnTv3Lv/xL1iConTt36qGHHtI111yT0zk++MEP6siRI3rjjTemPKa5uVnNzc362c9+Nu15XS6X/uzP/kx33HFH1v1ThREV2lz3f+SjV2m2vSVT9RI99thjeuyxx3KuayZGRkZyel1XV5eeeuopPf/88+rt7c1zVZn/p/KFXiIAAPB2qtwOffWsdfrg+hp9f0+bnjqSe7jpc11BPdcV1NZSn25ZX6MLqgOymLj3EQAAANkR3AUAAHLySu+Q/u7VQ2obnflqOCu9Tn31rHXaXJJ95R8AAJajkzWXRKPRKVfMy8VUq9nlq8ElF/fdd5+6u7snjd9yyy1yuVwFqCi7YDCYtXGuvr5eV155ZQEqWjjmullzIazimo8VKmdrpk1thmHoySef1H/8x3/k3Kg3XflqYltKjb8AACBja6lP/+/CU/Ryz5C+u7tVuwZyCyPtCsf1jdcO6Uf72nXrhhW6hgAvAAAAAAAWDMMw9Nu2Pn1r12H1RWe+2Ee5y66vnrlWZ1YUzUF1AAAsPsu9l2iunH322QoEAvq7v/u7rJ/3z3/+c5199tmqrKyc8dxms1mf/exn9a1vfUuvvPJKPsqVw+HQF77wBVVVVU15TFHRwvz5aa57fRZCf8li7CWKRqP6xS9+oYcfflipVGqOqpr+QorTsRC+1gAAYHFYV+TRXedt1N7BUX1vd5te6A7mPNeb/SP6wgv7VOtx6P1rqnTNqgr57IXvZwcAAMDCQic7AACYkaFYQn/zykH92dN7cgrt+kBDlX582VZCuwAAOMHJmumyrfA4G1PNl8+GvplobW3Vww8/PGl827ZtOvfccwtQ0dTuueeeSX9+JpNJH/nIR2SxWApUFebLVI2q8ymZTE772FAopK9//ev6/ve/P+ehXQAAANNxZkWRvn/xqfrH8zdqQ3HuN/t0heP6368d0vsffU33H+pSPMUq2AAAAAAAFFLTUFh/9vQeffmlgzmFdl29slw/e+c2QrsAADjOcu4lmmvr1q3TbbfdlnVfIpHQI488kvPcNptNn/3sZ3XTTTfNOmyosrJSf/3Xf62NGzcqFApNeVxxcfGszoPcLYReopmEb7W1ten222/Xgw8+OKehXQAAAIW2KeDVN3ds0r9efKrOKp/de44doZj+767DuvrhV/S/Xz2kQ8P5/X0MAAAAixvRrgAAYFqS6bTuP9St7+9p03Bi5hfqyp02fenMtTqnsjj/xQEAsAT4/f4p9wWDQdXX1+ftXMFgcMY1zJV0Oq3vf//7kxqB7Hb7lA1yhfLaa6/p97///aTxSy65ROvXry9ARZhvicTMbzQplGg0qm984xtqamoqdCkAAAATmEwmXVAd0PlVxXryyIC+t7tNzSORnObKBHg160eNHbp1Q62uWVUhu4V1iwAAAAAAmC+DsYT+ZXebHmjuVi6x2uVOm/7X6Q26oDqQ99oAAFjslmsv0Xx5xzveod/+9rc6dOjQpH1PP/20PvjBD8pqze2WK5PJpOuuu07nnHOO7rvvPr344oszCklyuVy64oor9N73vld2u12STrpgW0VFRU51YvYWQi+RYRjTOq6jo0Nf+9rXNDo6OscVAQAALBxbSn365ws365XeIX1vd5ve6M99IeRoKq37m7t1f3O3ziov0o1rq3RBdUAWkymPFQMAAGCxIbgLAAC8rRe7gvqnN1vUkuMNdFfUlelzp61SkX12K0cBALCUlZeXT7lvcHAwb+dJJpMaHh6ecQ1zJRKJZA0WOv/88xWPx9XW1pbTvCf7MxscHJxy3pKSEnk8nqz7du3aNWnMbrdrx44dOdcpacoVMVOp1JTzWq1WVVdX53xO5MZsXjwhED/+8Y/fNrTL5/Np7dq1qqurU3l5ufx+vzwej5xOp8xmsywWS9bXfe9738vauAoAADATJpNJl9SW6sKaEv13W5/+ZU+72kO5rUreHYnrrteb9aN9mQCvawnwAgAAAABgTsVTaf3nwU79sLFDoeTMFwCUpPesLNf/2LpKPjutzAAAZLNce4nmi8lk0kUXXZS1/yESiejQoUOzXsivqqpKn/zkJ/WhD31IO3fu1K5du3To0CENDg5OClvyer1qaGjQ6aefrgsuuEBut3vC/t7e3inPs2LFilnVidyZFklIQyKR0P/9v//3bUO7Kioq1NDQoJqaGpWWlqqoqEgul0sOh0Nms3nK3qm//Mu/nIuyAQAA8uaM8iJ97yK/dvYM6Z59HXqlN/vvQNP1Uu+QXuodUrXboWtWVejqleWqdDvyVC0AAAAWE652AwCAKR0eieibb7bo+a5gTq+vdjt0+/bVOr+KVTEBAHg7J2t06+7uztt5ent7p1xlbyE12z355JN68skn52Tue++9V/fee2/WfZ/4xCd00UUXTXuueDyuO++8M1+lTTA4ODhlU1NZWZm+9a1vzcl5MbWjq5ieqL6+Xp/85CfnuZqpHTp06KT/fs4++2y9+93v1vr163NqIJzqzwEAACAXFpNJV9SX67IVpXr4cK9+0NiurnA8p7l6InH9n9ebdc++Dt2yvkbXrq6Qc4owUgAAAAAAMHMpw9CjrX36lz1t6gzHcppjhceh/3l6g86qKMpzdQAALC30Es290047bcp9TU1Nsw7uOqqoqEiXX365Lr/8ckmZEKWhoSHFYjFZLBZ5PB75fL6TzjHV19zhcKiysjIvdWLmHA6HwuHwpPGLL75Y7373u+ethrfz29/+Vu3t7Vn32Ww2XXHFFbrkkktyWkgynU7P+DUAAACFYDKZdE5lsc6pLNZbAyP68b4OPXVkdqHIneGY/mVPm/51T5vOqSzWtasr9I7qgGyLaLFoAAAAzA7BXQAAYJLheFI/2Nuu/2rqUmqKi/EnY5Z087pqfXxznVxWbowDAGA6fD6f/H5/1hUsOzs783aerq6uKffV1tbm7TzAUjRVk2QikVBdXd08VzO1hx9+OOu4xWLRH//xH+vCCy+c1fyhUGhWrwcAAMjGajbr2tWVurK+XL9s7taP9nWoL5rIaa6eSFz/8EaL7m7s0M1rq/X+hkp5bVwWBQAAAAAgV4Zh6KkjA/ru7jY1j0RymsNiMulD62v0kU21BG0DADAN9BLNvdLSUpnN5qzBQ0NDQ3N2XpvNprKyshm9prm5Oev42rVrZSYUoGC8Xm/W4C6LxbJgeonS6bR+85vfZN1XXFysz3/+81qzZk3O89NHBAAAFqNTS3y667yNah4O69/2H9EjrX053UN5VFrSC91BvdAdVMBh1bvry3Xtqgqt9rvzVzQAAAAWJDrUAQDAuHgqrV82d+v7e9s1FE/mNMeGYo/+1+lrtCngzXN1AAAsfStXrtSuXbsmjbe0tOTtHFM1cUnSqlWr8nYeYCkqLS3NOr6QGtCSyaReeeWVrPuuv/76WYd2SdLo6Ois5wAAAJiK3WLWB9ZW69rVlfpVc7fu2deh3hwDvAZjCX1nd6t+vK9DH2io0k1rq1XitOW5YgAAAAAAli7DMLSzZ0jf2d2qvYO5Xw/ZWurT7dtXa12RJ4/VAQCw9NFLNLfMZrN8Pl/WkK6F1hvR1NSUdXzTpk3zXAmOV1ZWpp6enknjC+nvz/79+zUwMDBp3GQy6VOf+tSsQrukhfW5AgAAzNRqv1tfPnOtPr65Tj89cES/bO5RNDU52HcmBmNJ/fRAp356oFNbSrx6d325LltRqmIHPUsAAABLEcFdAABAyXRaD7b06oeN7eqOxHOaw2Ex6+Ob63Tz2mpZzaY8VwgAwPKwZs2arM12PT09Gh4elt/vn/U5pmriKikpUVFR0aznB5ayqVaSHRkZ0ejoqLzewofXHjp0SLFYbNK40+nU1VdfPev5o9Fo1tV8AQAA8s1xfIBXS08mwCvH9y5DyZR+tK9DPzvYqetWVehD62tU6XbkuWIAAAAAAJaWXf0j+n+7W/Vqb+7XBQIOmz6zZaXeXV8mk4l+IgAAZopeormXSGRfPGQh/ezS3t6uvr6+rPvOOOOMea4Gx6upqdGePXsmjXd1dRWgmuz27duXdXzz5s3avHnzrOfPFlwGAACw2FS5HfrsttX6yMYV+kVzt+5r6sp5ocHj7RoY1a6BUf3DGy06p7JIV9SV6cKaErmtljxUDQAAgIXAXOgCAABA4STThn7d0qMPPPq6vvHaoZxDu86pKNJ/XL5NH1pfQ2gXAACzcMopp2QdNwwja4PPTKVSKTU2Nmbdd+qpp856fmCpa2hoyDpuGMaUTW7zrbOzM+v4qaeeKrvdPuv5Dxw4oFQqNet5AAAApsthMesDDVW674rt+sJpq1Xuyv1nmlgqrXubunTDI6/pb145qNaRSB4rBQAAAABgadjVP6LPPdeojz35Vs6hXWZJNzZU6b/edZquWlm+oIIvAABYTOglmluJRELhcDjrPrfbPc/VTO33v/991vHq6mqtXLlynqvB8abqJWptbVUoFJrnarKbqpfo9NNPz8v8C6VnCgAAIB+KHTb90cYVeuDdp+tvzl6nraW+vMybMgw93xXUV146qCt//bLu+P1+PXNkQIl0Oi/zAwAAoHCshS4AAADMv5Rh6L/b+vSve9vVOhrNeZ4at0Of2bpSF9eU0GAHAEAerF+/Xna7XfH45DDNl19+Weeee+6s5n/rrbcUiWS/Mb1QzXYej0c//elP8z5vb2+v/vzP/zzrvk984hO66KKLZjznhz/8YX34wx+ebWmTfPe739XTTz89abysrEzf+ta38n4+5K68vFwVFRVZV4p86623FsQqpsPD2W+gKSsry8v8u3fvzss8AAAAM+WwmPX+hipdu6pCD7b06Ef7OtST40IEScPQgy29+nVLry6tLdWtG2u1odiT54oBAAAAAFg8DMPQzp4h3bOvQ6/kGNZ11NkVRfqLravUULRwwi4AAFislmMv0Xxqa2ubcl+++ixmK5VK6amnnsq6L5f+J+TXycL1du/erbPPPnueK5psaGgo6zi9RAAAAFOzms26vK5Ml9eVqXFwVPc2demxtj7F08as546l0nqsvV+PtffLb7PowpoSXVxTorMri+WwmPNQPQAAAOYTwV0AACwjKcPQkx0D+v6eNjWPZL/QPh1uq1l/tHGFblpbzRtCAADkkd1u1+mnn64XX3xx0r5XX31VkUhELpcr5/mfe+65rOM2my1vK+gBS91ZZ52lhx56aNL4008/rfe///3yeAob+JBMJrOO2+32Wc+dSCT05JNPznoeAACA2bBbzHpfQ5WuWVWhXx/u0Y8aO9SdY4CXIenxjn493tGv8yqL9aH1NTqj3M8iBQAAAACAZSNtGHrqyIB+1NihxmBoVnOt9Dr1ma2rdEFVMb9bAwCQJ/QSza1XX311yn11dXXzWMnUnnnmGfX19U0adzgcuvTSSwtQEY5XVlam1atXq7m5edK+Rx55ZEEEd81lL1FLS4sOHDgw63kAAAAWso0Br7585lp9estK/bK5Wz8/1K3eHHuVTjScSOnXh3v168O9clnMOr8qoItqS3RBVbG8NiIgAAAAFgOSNgAAWAbiqbR+2dytm3/7ur74+/05h3aZJF2zqlw/v2K7PryhltAuAADmwAUXXJB1PBqN6oknnsh53sHBwaxNfJJ0+umny+1mxWtgOi6++OKs45FIRI8++uj8FpOF1+vNOj44ODjruZ9++mkNDw/Peh4AAIB8sFvMumFNlX5+xXb95fY1qnLP7uaCF7qD+uQze3TrE7v0aFufknlYIRMAAAAAgIUqmU7r1y09+oPH3tD/fHH/rEK7Shw2fX7bKv308m3aUR0gtAsAgDyjl2huxONxPf3001n32e12rV27dp4rmmx0dFT33ntv1n3vfOc7p+wRwfyaqpeosbFRe/fund9ispjLXqIHH3xw1nMAAAAsFgGHTbdtXKEHrjxd/3D+Rl1cUyJLHt8LjaTSeryjX1/eeUBXPPiy/uLZvfrFoW71R/MTEgYAAIC5QdoGAABL2FA8oX/b16HrH3lVX3/1kFpHoznPdVqZTz+6dIvuOGOtSp2zX2EHAABkt337dpWXl2fd96tf/UrhcDineX/+859PuXreu971rpzmBJaj2tpabdu2Leu+Bx54QPv375/niiby+XxZx3fv3i3DyD18ore3Vz/72c9yfj0AAMBcyQR4VernV2zXHWc0qN7rnNV8+4IhfXnnAb3v0Vf1swOdCiVSeaoUAAAAAIDCG44n9W/7OnTDI6/pa680qSXHxf8kyWez6M9Ordf9V27XB9ZWy2qmJRkAgLlAL9Hc+NWvfqW+vr6s+84880xZrdZ5rmgiwzD0/e9/X8FgcNI+r9er9773vfNeE7J7xzveMWW/zne/+92CL5Ln9/uzju/evXtW87700kt64YUXZjUHAADAYmQ1m7SjOqD/fd4GPXjV6frUqfVaOct+pRMlDUMvdAf1jdcO6aqHXtGtj7+p7+1u1a7+EaVm0Q8OAACA/CvsO8kAAGBO7A+G9POmLj3S1qdYKj2ruardDn16y0pdWlvCipgAAMwDs9msq666Svfcc8+kfSMjI/rhD3+oT37ykzOa880339STTz6Zdd/atWu1adOmXErVz3/+c91///1Z933iE5/QRRddlNO8wEJ38803680335wUhJVMJvXNb35TX/rSl1RdXZ3Xcw4PD6utrU2nnHLKSY9btWpV1vGBgQE9//zzU67EezLhcFjf/va3c272BQAAmA82s1nXrKrQVSvL9WTHgH7U2K79Q7n//NIVjuubb7boB3vbdP2aSt3YUK1yFwsaAAAAAAAWp0PDYf3XwS493Nqr6Cx7iZwWs25eW60Prq+R304bMgAAc2259hJ1dnbKMAzV1NTkVMvJPPPMM/rFL34x5f53vvOdeT/nTBiGoR/96Ed66aWXsu7/wz/8Q3k8nnmuClNxOp264YYbsv4b7e3t1Te/+U194QtfkMvlyut529vbZRiG6urqTnrcVL1EO3fu1Ac+8AFVVFTkdO7vf//7M34dAADAUlPqtOuWDbX60PoavdE/ol+19Ojx9v5Zvwd7osZgSI3BkO5u7FCR3apzK4t1flWxzq0sVrHDltdzAQAAYGZY3goAgCUimU7rv9v79Imn3tItj7+pX7b0zCq0q9xl1+2nrdZ/XXGaLltRSmgXAADz6LLLLpsy9Oe5557TfffdN+25Wlpa9O1vf3tSwNBRH/rQh3KqEVjOVq5cqauuuirrvmAwqDvuuEM7d+7My7m6u7t199136zOf+Yyee+65tz2+qqpqyoa6e+65R+3t7TM6fzAY1Ne+9jUdPHhwRq8DAAAoFIvJpMtWlOrHl23VNy/YqNPKsq9wPl0jiZR+vO+I3vubV/WVlw5o7+BonioFAAAAAGBupQ1Dz3YO6tPP7NEfPPaG7m/untUNYzazSTc2VOn+K7frT0+tJ7QLAIB5tBx7idrb23X77bfrO9/5jrq6uvIyZzKZ1P3336/vfe97U37+27Zt08aNG3Oa/5lnntHevXtnU6JGR0f1T//0T3rsscey7j/rrLN08cUXz+ocyL/LL79ca9euzbqvsbFRd9xxh9ra2vJyrsbGRv2f//N/9Jd/+Zc6fPjw2x6/devWrOOJRELf+ta3FIlEZnT+/fv3684779ToKNfMAAAAjjKZTDqtzK8vn7lWD73nDH3pjAadU1E0JyEOQ/GkHm3r01deOqgrf/2yPvLELn3nrVa93DM0q3tJAQAAkBuumgMAsMj1R+N6oLlHvzjUpd5oYtbzlThsunVDra5fUymHhYxPAAAKwWq16rbbbtM3vvGNrE1i9913n7q7u3XLLbfI58t+E7phGHrqqaf04x//WNFoNOsxF110kdavX5/X2oHl4qabblJjY6Oampom7YtEIvrmN7+pLVu26Nprr9Upp5wyo7m7u7u1c+dOvfTSS2pqapqyWXQqO3bsyLqC7ejoqP76r/9af/RHf6TzzjvvpOG8yWRSjz32mH7xi19MaLSzWCzy+XwKBoMzqgkAAGC+mUwmnVcV0HlVAb3WN6x7Gjv0Qncw5/mShqFHWvv0SGuftpb6dNPaKl1cUyqrmQUPAAAAAAALy2giqYcO9+reg11qD2W/TjgTFpP07vpyfWxTnao9jjxUCAAAZmq59hKl02k988wzevbZZ7Vu3Tqdd955OvvssxUIBGY0Tzgc1osvvqiHHnpInZ2dUx7ndrv10Y9+NOd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      "text/plain": [
       "
"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 559,
       "width": 2423
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pc = az.plot_lm(\n",
    "    idata,\n",
    "    y=\"p\",\n",
    "    y_obs=\"y\",\n",
    "    group=\"posterior\",\n",
    "    ci_prob=0.95,\n",
    "    visuals={\"observed_scatter\": False},\n",
    ")\n",
    "pc.map(az.visuals.line_xy, \"true\", x=data[\"x\"], y=p_true, color=\"C1\", label=\"true\")\n",
    "pc.map(az.visuals.scatter_xy, \"observed\", x=data[\"x\"], y=data[\"y\"] / n, color=\"k\")\n",
    "plt.legend()\n",
    "\n",
    "pc = az.plot_dist(idata, var_names=[\"beta0\", \"beta1\"])\n",
    "az.add_lines(pc, {\"beta0\": beta0_true, \"beta1\": beta1_true});"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "stuffed-dialogue",
   "metadata": {},
   "source": [
    "The top panel shows the posterior mean (solid line) and 95% credible intervals (shaded region). Because we are working with simulated data, we know what the true model is, so we can see that the posterior mean compares favourably with the true data generating model. \n",
    "\n",
    "This is also shown by the posterior distribution over parameter space (bottom panel), which does well when comparing to the true data generating parameters.\n",
    "\n",
    "Using binomial regression in real data analysis situations would probably involve more predictor variables, and correspondingly more model parameters, but hopefully this example has demonstrated the logic behind binomial regression.\n",
    "\n",
    "A good introduction to generalized linear models is provided by {cite:t}`roback2021beyond` which is available in hardcopy and [free online](https://bookdown.org/roback/bookdown-BeyondMLR/)."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "b743d58b-2678-4e17-9947-a8fe4ed03e21",
   "metadata": {},
   "source": [
    "## Authors\n",
    "- Authored by [Benjamin T. Vincent](https://github.com/drbenvincent) in July 2021 \n",
    "- Updated by [Benjamin T. Vincent](https://github.com/drbenvincent) in February 2022\n",
    "- Updated by Benjamin T. Vincent in February 2023 to run on PyMC v5\n",
    "- Updated to use `az.extract` by [Benjamin T. Vincent](https://github.com/drbenvincent) in February 2023, ([pymc-examples#522](https://github.com/pymc-devs/pymc-examples/pull/522))\n",
    "- Updated by Osvaldo Martin in April 2026"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "closed-frank",
   "metadata": {},
   "source": [
    "## References\n",
    ":::{bibliography}\n",
    ":filter: docname in docnames\n",
    ":::"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0717070c-04aa-4836-ab95-6b3eff0dcaaf",
   "metadata": {},
   "source": [
    "## Watermark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "sound-calculation",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: Sat, 25 Apr 2026\n",
      "\n",
      "Python implementation: CPython\n",
      "Python version       : 3.14.4\n",
      "IPython version      : 9.12.0\n",
      "\n",
      "pytensor: 2.38.0+133.g80cc113b5\n",
      "aeppl   : unknown\n",
      "\n",
      "arviz     : 1.1.0\n",
      "matplotlib: 3.10.8\n",
      "numpy     : 2.4.4\n",
      "pandas    : 3.0.2\n",
      "pymc      : 5.28.0+58.gf58491a3\n",
      "\n",
      "Watermark: 2.6.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -n -u -v -iv -w -p pytensor,aeppl"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e4386fc-4de9-4535-a160-d929315633ef",
   "metadata": {},
   "source": [
    ":::{include} ../page_footer.md :::"
   ]
  }
 ],
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