{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "NFaKtWALh3zH" }, "source": [ "# Probabilistic Programming and Bayesian Methods for Hackers Chapter 6\n", "\n", "\n", " \n", " \n", "
\n", " Run in Google Colab\n", " \n", " View source on GitHub\n", "
\n", "
\n", "
\n", "
\n", "\n", "Original content ([this Jupyter notebook](https://nbviewer.jupyter.org/github/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/blob/master/Chapter6_Priorities/Ch6_Priors_PyMC2.ipynb)) created by Cam Davidson-Pilon ([`@Cmrn_DP`](https://twitter.com/Cmrn_DP))\n", "\n", "Ported to [Tensorflow Probability](https://www.tensorflow.org/probability/) by Matthew McAteer ([`@MatthewMcAteer0`](https://twitter.com/MatthewMcAteer0)), with help from Bryan Seybold, Mike Shwe ([`@mikeshwe`](https://twitter.com/mikeshwe)), Josh Dillon, and the rest of the TFP team at Google ([`tfprobability@tensorflow.org`](mailto:tfprobability@tensorflow.org)).\n", "\n", "Welcome to Bayesian Methods for Hackers. The full Github repository is available at [github/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers](https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers). The other chapters can be found on the project's [homepage](https://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/). We hope you enjoy the book, and we encourage any contributions!\n", "\n", "---\n", "### Table of Contents\n", "- Dependencies & Prerequisites\n", "- Getting our priorities straight\n", " - Subjective vs Objective priors\n", " - Subjective Priors\n", " - Decisions, decisions...\n", " - Empirical Bayes\n", "- Useful priors to know about\n", " - The Gamma distribution\n", " - The Wishart distribution\n", " - The Beta distribution\n", "- Example: Bayesian Multi-Armed Bandits\n", " - Applications\n", " - A Proposed Solution\n", " - A Measure of Good\n", " - Extending the algorithm\n", "- Eliciting expert prior\n", " - Trial roulette method\n", " - Example: Stock Returns\n", " - Protips for the Wishart distribution\n", "- Conjugate Priors\n", "- Jeffreys Priors\n", "- Effect of ther prior as N increases\n", " - Bayesian perspective of Penalized Linear Regressions\n", " - References\n", "\n", "---\n", "\n", "This chapter of [Bayesian Methods for Hackers](https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers) focuses on the most debated and discussed part of Bayesian methodologies: how to choose an appropriate prior distribution. We also present how the prior's influence changes as our dataset increases, and an interesting relationship between priors and penalties on linear regression." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3r8evK75Hyay" }, "source": [ "### Dependencies & Prerequisites\n", "\n", "
\n", " Tensorflow Probability is part of the colab default runtime, so you don't need to install Tensorflow or Tensorflow Probability if you're running this in the colab. \n", "
\n", " If you're running this notebook in Jupyter on your own machine (and you have already installed Tensorflow), you can use the following\n", "
\n", " \n", "Again, if you are running this in a Colab, Tensorflow and TFP are already installed\n", "
" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "YRorv1tNh3zJ" }, "outputs": [], "source": [ "#@title Imports and Global Variables { display-mode: \"form\" }\n", "\"\"\"\n", "The book uses a custom matplotlibrc file, which provides the unique styles for\n", "matplotlib plots. If executing this book, and you wish to use the book's\n", "styling, provided are two options:\n", " 1. Overwrite your own matplotlibrc file with the rc-file provided in the\n", " book's styles/ dir. See http://matplotlib.org/users/customizing.html\n", " 2. Also in the styles is bmh_matplotlibrc.json file. This can be used to\n", " update the styles in only this notebook. Try running the following code:\n", "\n", " import json\n", " s = json.load(open(\"../styles/bmh_matplotlibrc.json\"))\n", " matplotlib.rcParams.update(s)\n", "\"\"\"\n", "!pip3 install -q pandas_datareader\n", "!pip3 install -q wget\n", "from __future__ import absolute_import, division, print_function\n", "\n", "#@markdown This sets the warning status (default is `ignore`, since this notebook runs correctly)\n", "warning_status = \"ignore\" #@param [\"ignore\", \"always\", \"module\", \"once\", \"default\", \"error\"]\n", "import warnings\n", "warnings.filterwarnings(warning_status)\n", "with warnings.catch_warnings():\n", " warnings.filterwarnings(warning_status, category=DeprecationWarning)\n", " warnings.filterwarnings(warning_status, category=UserWarning)\n", "\n", "import numpy as np\n", "import os\n", "#@markdown This sets the styles of the plotting (default is styled like plots from [FiveThirtyeight.com](https://fivethirtyeight.com/))\n", "matplotlib_style = 'fivethirtyeight' #@param ['fivethirtyeight', 'bmh', 'ggplot', 'seaborn', 'default', 'Solarize_Light2', 'classic', 'dark_background', 'seaborn-colorblind', 'seaborn-notebook']\n", "import matplotlib.pyplot as plt; plt.style.use(matplotlib_style)\n", "import matplotlib.axes as axes;\n", "from matplotlib.patches import Ellipse\n", "import scipy.stats as stats\n", "rand = np.random.rand\n", "beta = stats.beta\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import pandas_datareader.data as web\n", "%matplotlib inline\n", "\n", "import seaborn as sns; sns.set_context('notebook')\n", "from IPython.core.pylabtools import figsize\n", "#@markdown This sets the resolution of the plot outputs (`retina` is the highest resolution)\n", "notebook_screen_res = 'retina' #@param ['retina', 'png', 'jpeg', 'svg', 'pdf']\n", "%config InlineBackend.figure_format = notebook_screen_res\n", "\n", "import tensorflow as tf\n", "tfe = tf.contrib.eager\n", "\n", "# Eager Execution\n", "#@markdown Check the box below if you want to use [Eager Execution](https://www.tensorflow.org/guide/eager)\n", "#@markdown Eager execution provides An intuitive interface, Easier debugging, and a control flow comparable to Numpy. You can read more about it on the [Google AI Blog](https://ai.googleblog.com/2017/10/eager-execution-imperative-define-by.html)\n", "use_tf_eager = False #@param {type:\"boolean\"}\n", "\n", "# Use try/except so we can easily re-execute the whole notebook.\n", "if use_tf_eager:\n", " try:\n", " tf.enable_eager_execution()\n", " except:\n", " pass\n", "\n", "import tensorflow_probability as tfp\n", "tfd = tfp.distributions\n", "tfb = tfp.bijectors\n", "\n", " \n", "def evaluate(tensors):\n", " \"\"\"Evaluates Tensor or EagerTensor to Numpy `ndarray`s.\n", " Args:\n", " tensors: Object of `Tensor` or EagerTensor`s; can be `list`, `tuple`,\n", " `namedtuple` or combinations thereof.\n", "\n", " Returns:\n", " ndarrays: Object with same structure as `tensors` except with `Tensor` or\n", " `EagerTensor`s replaced by Numpy `ndarray`s.\n", " \"\"\"\n", " if tf.executing_eagerly():\n", " return tf.contrib.framework.nest.pack_sequence_as(\n", " tensors,\n", " [t.numpy() if tf.contrib.framework.is_tensor(t) else t\n", " for t in tf.contrib.framework.nest.flatten(tensors)])\n", " return sess.run(tensors)\n", "\n", "class _TFColor(object):\n", " \"\"\"Enum of colors used in TF docs.\"\"\"\n", " red = '#F15854'\n", " blue = '#5DA5DA'\n", " orange = '#FAA43A'\n", " green = '#60BD68'\n", " pink = '#F17CB0'\n", " brown = '#B2912F'\n", " purple = '#B276B2'\n", " yellow = '#DECF3F'\n", " gray = '#4D4D4D'\n", " def __getitem__(self, i):\n", " return [\n", " self.red,\n", " self.orange,\n", " self.green,\n", " self.blue,\n", " self.pink,\n", " self.brown,\n", " self.purple,\n", " self.yellow,\n", " self.gray,\n", " ][i % 9]\n", "TFColor = _TFColor()\n", "\n", "def session_options(enable_gpu_ram_resizing=True, enable_xla=True):\n", " \"\"\"\n", " Allowing the notebook to make use of GPUs if they're available.\n", " \n", " XLA (Accelerated Linear Algebra) is a domain-specific compiler for linear \n", " algebra that optimizes TensorFlow computations.\n", " \"\"\"\n", " config = tf.ConfigProto()\n", " config.log_device_placement = True\n", " if enable_gpu_ram_resizing:\n", " # `allow_growth=True` makes it possible to connect multiple colabs to your\n", " # GPU. Otherwise the colab malloc's all GPU ram.\n", " config.gpu_options.allow_growth = True\n", " if enable_xla:\n", " # Enable on XLA. https://www.tensorflow.org/performance/xla/.\n", " config.graph_options.optimizer_options.global_jit_level = (\n", " tf.OptimizerOptions.ON_1)\n", " return config\n", "\n", "\n", "def reset_sess(config=None):\n", " \"\"\"\n", " Convenience function to create the TF graph & session or reset them.\n", " \"\"\"\n", " if config is None:\n", " config = session_options()\n", " global sess\n", " tf.reset_default_graph()\n", " try:\n", " sess.close()\n", " except:\n", " pass\n", " sess = tf.InteractiveSession(config=config)\n", "\n", "reset_sess()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "48d58kVDh3zI" }, "source": [ "## Getting our priorities straight\n", "\n", "\n", "Up until now, we have mostly ignored our choice of priors. This is unfortunate as we can be very expressive with our priors, but we also must be careful about choosing them. This is especially true if we want to be objective, that is, not to express any personal beliefs in the priors. \n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Cxl9I5wvB4oQ" }, "source": [ "### Subjective vs Objective priors\n", "\n", "Bayesian priors can be classified into two classes: *objective* priors, which aim to allow the data to influence the posterior the most, and *subjective* priors, which allow the practitioner to express his or her views into the prior. \n", "\n", "What is an example of an objective prior? We have seen some already, including the *flat* prior, which is a uniform distribution over the entire possible range of the unknown. Using a flat prior implies that we give each possible value an equal weighting. Choosing this type of prior is invoking what is called \"The Principle of Indifference\", literally we have no prior reason to favor one value over another. Calling a flat prior over a restricted space an objective prior is not correct, though it seems similar. If we know $p$ in a Binomial model is greater than 0.5, then $\\text{Uniform}(0.5,1)$ is not an objective prior (since we have used prior knowledge) even though it is \"flat\" over [0.5, 1]. The flat prior must be flat along the *entire* range of possibilities. \n", "\n", "Aside from the flat prior, other examples of objective priors are less obvious, but they contain important characteristics that reflect objectivity. For now, it should be said that *rarely* is a objective prior *truly* objective. We will see this later." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "X5YKEsldB1Tz" }, "source": [ "#### Subjective Priors\n", "\n", "On the other hand, if we added more probability mass to certain areas of the prior, and less elsewhere, we are biasing our inference towards the unknowns existing in the former area. This is known as a subjective, or *informative* prior. In the figure below, the subjective prior reflects a belief that the unknown likely lives around 0.5, and not around the extremes. The objective prior is insensitive to this." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 442 }, "colab_type": "code", "id": "Ip59tSbbpVG-", "outputId": "461681bd-0615-4858-f908-1c5e9e24e4af" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABmQAAANTCAYAAACwwHKfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEnSKLMgI0mSJEmSJEmSNMr+N5DZF/uwuctCAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 425, "width": 818 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(12.5, 7))\n", "\n", "colors = [TFColor[1], TFColor[2], TFColor[3], TFColor[4]]\n", "\n", "x = tf.linspace(start=0., stop=1., num=50)\n", "obj_prior_1 = tfd.Beta(1., 1.).prob(x)\n", "subj_prior_1 = tfd.Beta(10., 10.).prob(x)\n", "subj_prior_2 = 2 * tf.ones(25)\n", "\n", "[\n", " x_, obj_prior_1_, subj_prior_1_, subj_prior_2_,\n", "] = evaluate([\n", " x, obj_prior_1, subj_prior_1, subj_prior_2,\n", "])\n", "\n", "p = plt.plot(x_, obj_prior_1_, \n", " label='An objective prior \\n(uninformative, \\n\"Principle of Indifference\")')\n", "plt.fill_between(x_, 0, obj_prior_1_, color = p[0].get_color(), alpha = 0.3)\n", "\n", "p = plt.plot(x_, subj_prior_1_ ,\n", " label = \"A subjective prior \\n(informative)\")\n", "plt.fill_between(x_, 0, subj_prior_1_, color = p[0].get_color(), alpha = 0.3)\n", "\n", "p = plt.plot(x_[25:], subj_prior_2_, \n", " label = \"another subjective prior\")\n", "plt.fill_between(x_[25:], 0, 2, color = p[0].get_color(), alpha = 0.3)\n", "\n", "plt.ylim(0,4)\n", "\n", "plt.ylim(0, 4)\n", "leg = plt.legend(loc = \"upper left\")\n", "leg.get_frame().set_alpha(0.4)\n", "plt.title(\"Comparing objective vs. subjective priors for an unknown probability\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ds1NsX9ah3zO" }, "source": [ "The choice of a subjective prior does not always imply that we are using the practitioner's subjective opinion: more often the subjective prior was once a posterior to a previous problem, and now the practitioner is updating this posterior with new data. A subjective prior can also be used to inject *domain knowledge* of the problem into the model. We will see examples of these two situations later." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "s5rHtoNqh3zP" }, "source": [ "### Decision, decisions...\n", "\n", "The choice, either *objective* or *subjective* mostly depends on the problem being solved, but there are a few cases where one is preferred over the other. In instances of scientific research, the choice of an objective prior is obvious. This eliminates any biases in the results, and two researchers who might have differing prior opinions would feel an objective prior is fair. Consider a more extreme situation:\n", "\n", "> A tobacco company publishes a report with a Bayesian methodology that retreated 60 years of medical research on tobacco use. Would you believe the results? Unlikely. The researchers probably chose a subjective prior that too strongly biased results in their favor.\n", "\n", "Unfortunately, choosing an objective prior is not as simple as selecting a flat prior, and even today the problem is still not completely solved. The problem with naively choosing the uniform prior is that pathological issues can arise. Some of these issues are pedantic, but we delay more serious issues to the Appendix of this Chapter." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "RoP5bOuSh3zP" }, "source": [ "We must remember that choosing a prior, whether subjective or objective, is still part of the modeling process. To quote Gelman [5]:\n", "\n", ">... after the model has been fit, one should look at the posterior distribution\n", "and see if it makes sense. If the posterior distribution does not make sense, this implies\n", "that additional prior knowledge is available that has not been included in the model,\n", "and that contradicts the assumptions of the prior distribution that has been used. It is\n", "then appropriate to go back and alter the prior distribution to be more consistent with\n", "this external knowledge.\n", "\n", "If the posterior does not make sense, then clearly one had an idea what the posterior *should* look like (not what one *hopes* it looks like), implying that the current prior does not contain all the prior information and should be updated. At this point, we can discard the current prior and choose a more reflective one.\n", "\n", "Gelman [4] suggests that using a uniform distribution with large bounds is often a good choice for objective priors. Although, one should be wary about using Uniform objective priors with large bounds, as they can assign too large of a prior probability to non-intuitive points. Ask yourself: do you really think the unknown could be incredibly large? Often quantities are naturally biased towards 0. A Normal random variable with large variance (small precision) might be a better choice, or an Exponential with a fat tail in the strictly positive (or negative) case. \n", "\n", "If using a particularly subjective prior, it is your responsibility to be able to explain the choice of that prior, else you are no better than the tobacco company's guilty parties. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "DD_MDbroh3zQ" }, "source": [ "### Empirical Bayes\n", "\n", "While not a true Bayesian method, *empirical Bayes* is a trick that combines frequentist and Bayesian inference. As mentioned previously, for (almost) every inference problem there is a Bayesian method and a frequentist method. The significant difference between the two is that Bayesian methods have a prior distribution, with hyperparameters $\\alpha$, while empirical methods do not have any notion of a prior. Empirical Bayes combines the two methods by using frequentist methods to select $\\alpha$, and then proceeds with Bayesian methods on the original problem. \n", "\n", "A very simple example follows: suppose we wish to estimate the parameter $\\mu$ of a Normal distribution, with $\\sigma = 5$. Since $\\mu$ could range over the whole real line, we can use a Normal distribution as a prior for $\\mu$. How to select the prior's hyperparameters, denoted ($\\mu_p, \\sigma_p^2$)? The $\\sigma_p^2$ parameter can be chosen to reflect the uncertainty we have. For $\\mu_p$, we have two options:\n", "\n", "**Option 1**: Empirical Bayes suggests using the empirical sample mean, which will center the prior around the observed empirical mean:\n", "\n", "$$ \\mu_p = \\frac{1}{N} \\sum_{i=0}^N X_i $$\n", "\n", "**Option 2**: Traditional Bayesian inference suggests using prior knowledge, or a more objective prior (zero mean and fat standard deviation).\n", "\n", "Empirical Bayes can be argued as being semi-objective, since while the choice of prior model is ours (hence subjective), the parameters are solely determined by the data.\n", "\n", "Personally, I feel that Empirical Bayes is *double-counting* the data. That is, we are using the data twice: once in the prior, which will influence our results towards the observed data, and again in the inferential engine of MCMC. This double-counting will understate our true uncertainty. To minimize this double-counting, I would only suggest using Empirical Bayes when you have *lots* of observations, else the prior will have too strong of an influence. I would also recommend, if possible, to maintain high uncertainty (either by setting a large $\\sigma_p^2$ or equivalent.)\n", "\n", "Empirical Bayes also violates a theoretical axiom in Bayesian inference. The textbook Bayesian algorithm of:\n", "\n", ">*prior* $\\Rightarrow$ *observed data* $\\Rightarrow$ *posterior* \n", "\n", "is violated by Empirical Bayes, which instead uses \n", "\n", ">*observed data* $\\Rightarrow$ *prior* $\\Rightarrow$ *observed data* $\\Rightarrow$ *posterior*\n", "\n", "Ideally, all priors should be specified *before* we observe the data, so that the data does not influence our prior opinions (see the volumes of research by Daniel Kahneman *et. al* about [anchoring](http://en.wikipedia.org/wiki/Anchoring_and_adjustment))." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "zby_E57oBuH5" }, "source": [ "## Useful priors to know about" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8pQLkxcih3zQ" }, "source": [ "### The Gamma distribution\n", "\n", "A Gamma random variable, denoted $X \\sim \\text{Gamma}(\\alpha, \\beta)$, is a random variable over the positive real numbers. It is in fact a generalization of the Exponential random variable, that is:\n", "\n", "$$ \\text{Exp}(\\beta) \\sim \\text{Gamma}(1, \\beta) $$\n", "\n", "This additional parameter allows the probability density function to have more flexibility, hence allowing the practitioner to express his or her subjective priors more accurately. The density function for a $\\text{Gamma}(\\alpha, \\beta)$ random variable is:\n", "\n", "$$ f(x \\mid \\alpha, \\beta) = \\frac{\\beta^{\\alpha}x^{\\alpha-1}e^{-\\beta x}}{\\Gamma(\\alpha)} $$\n", "\n", "where $\\Gamma(\\alpha)$ is the [Gamma function](http://en.wikipedia.org/wiki/Gamma_function), and for differing values of $(\\alpha, \\beta)$ looks like:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 432 }, "colab_type": "code", "id": "rUXIzxfFh3zR", "outputId": "ec990a8b-25ed-4ad9-a612-5727e28a158c" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABngAAAM+CAYAAAA5OA99AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 415, "width": 828 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "parameters = [(1, 0.5), (9, 2), (3, 0.5), (7, 0.5)]\n", "x = tf.cast(tf.linspace(start=0.001 ,stop=20., num=150), dtype=tf.float32)\n", "\n", "plt.figure(figsize(12.5, 7))\n", "for alpha, beta in parameters:\n", " [ \n", " y_, \n", " x_ \n", " ] = evaluate([\n", " tfd.Gamma(float(alpha), float(beta)).prob(x), \n", " x,\n", " ])\n", " lines = plt.plot(x_, y_, label = \"(%.1f,%.1f)\"%(alpha, beta), lw = 3)\n", " plt.fill_between(x_, 0, y_, alpha = 0.2, color = lines[0].get_color())\n", " plt.autoscale(tight=True)\n", "\n", "plt.legend(title=r\"$\\alpha, \\beta$ - parameters\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8Af9T7Oph3zT" }, "source": [ "### The Wishart distribution\n", "\n", "Until now, we have only seen random variables that are scalars. Of course, we can also have *random matrices*! Specifically, the Wishart distribution is a distribution over all [positive semi-definite matrices](http://en.wikipedia.org/wiki/Positive-definite_matrix). Why is this useful to have in our arsenal? (Proper) covariance matrices are positive-definite, hence the Wishart is an appropriate prior for covariance matrices. We can't really visualize a distribution of matrices, so I'll plot some realizations from the $5 \\times 5$ (above) and $20 \\times 20$ (below) Wishart distribution:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 561 }, "colab_type": "code", "id": "3y8PyXdfJ5F7", "outputId": "4c983fdf-b3a5-48eb-b84c-7597ad89f153" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "output of the eye function \n", "(a commonly used function with Wishart Distributions): \n", " [[1. 0. 0. 0.]\n", " [0. 1. 0. 0.]\n", " [0. 0. 1. 0.]\n", " [0. 0. 0. 1.]]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABm8AAAN1CAYAAACZ1W9DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 442, "width": 823 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "reset_sess()\n", "\n", "n = 4\n", "print(\"output of the eye function \\n(a commonly used function with Wishart Distributions): \\n\", np.eye(n))\n", "\n", "plt.figure(figsize(12.5, 7))\n", "for i in range(10):\n", " ax = plt.subplot(2, 5, i+1)\n", " if i >= 5:\n", " n = 15\n", " [\n", " wishart_matrices_ \n", " ] = evaluate([ \n", " tfd.Wishart(df=(n+1), scale=tf.eye(n)).sample() \n", " ])\n", " plt.imshow( wishart_matrices_, \n", " interpolation=\"none\", \n", " cmap = \"hot\")\n", " ax.axis(\"off\")\n", "\n", "plt.suptitle(\"Random matrices from a Wishart Distribution\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "fdT3MMLOh3zW" }, "source": [ "One thing to notice is the symmetry of these matrices. The Wishart distribution can be a little troubling to deal with, but we will use it in an example later." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "t_shyPsXh3zX" }, "source": [ "### The Beta distribution\n", "\n", "You may have seen the term `beta` in previous code in this book. Often, I was implementing a Beta distribution. The Beta distribution is very useful in Bayesian statistics. A random variable $X$ has a $\\text{Beta}$ distribution, with parameters $(\\alpha, \\beta)$, if its density function is:\n", "\n", "$$f_X(x | \\; \\alpha, \\beta ) = \\frac{ x^{(\\alpha - 1)}(1-x)^{ (\\beta - 1) } }{B(\\alpha, \\beta) }$$\n", "\n", "where $B$ is the [Beta function](http://en.wikipedia.org/wiki/Beta_function) (hence the name). The random variable $X$ is only allowed in [0,1], making the Beta distribution a popular distribution for decimal values, probabilities and proportions. The values of $\\alpha$ and $\\beta$, both positive values, provide great flexibility in the shape of the distribution. Below we plot some distributions:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 428 }, "colab_type": "code", "id": "0VSxcnhuOtrK", "outputId": "ce66450b-f56d-4edb-ac1b-fca9b6408e9e" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABlQAAAM2CAYAAACACm5OAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 411, "width": 810 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "reset_sess()\n", "\n", "params = [(2, 5), (1, 1), (0.5, 0.5), (5, 5), (20, 4), (5, 1)]\n", "x = tf.cast(tf.linspace(start=0.01 ,stop=.99, num=100), dtype=tf.float32)\n", "\n", "plt.figure(figsize(12.5, 7))\n", "for alpha, beta in params:\n", " [ \n", " y_, \n", " x_ \n", " ] = evaluate([\n", " tfd.Beta(float(alpha), float(beta)).prob(x), \n", " x,\n", " ])\n", " lines = plt.plot(x_, y_, label = \"(%.1f,%.1f)\"%(alpha, beta), lw = 3)\n", " plt.fill_between(x_, 0, y_, alpha = 0.2, color = lines[0].get_color())\n", " plt.autoscale(tight=True)\n", "plt.ylim(0)\n", "plt.legend(title=r\"$\\alpha, \\beta$ - parameters\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4LaufPdOh3za" }, "source": [ "One thing I'd like the reader to notice is the presence of the flat distribution above, specified by parameters $(1,1)$. This is the Uniform distribution. Hence the Beta distribution is a generalization of the Uniform distribution, something we will revisit many times.\n", "\n", "There is an interesting connection between the Beta distribution and the Binomial distribution. Suppose we are interested in some unknown proportion or probability $p$. We assign a $\\text{Beta}(\\alpha, \\beta)$ prior to $p$. We observe some data generated by a Binomial process, say $X \\sim \\text{Binomial}(N, p)$, with $p$ still unknown. Then our posterior *is again a Beta distribution*, i.e. $p | X \\sim \\text{Beta}( \\alpha + X, \\beta + N -X )$. Succinctly, one can relate the two by \"a Beta prior with Binomial observations creates a Beta posterior\". This is a very useful property, both computationally and heuristically.\n", "\n", "In light of the above two paragraphs, if we start with a $\\text{Beta}(1,1)$ prior on $p$ (which is a Uniform), observe data $X \\sim \\text{Binomial}(N, p)$, then our posterior is $\\text{Beta}(1 + X, 1 + N - X)$. \n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Z1Jkp2odh3za" }, "source": [ "## Example: Bayesian Multi-Armed Bandits\n", "*Adapted from an example by Ted Dunning of MapR Technologies*\n", "\n", "> Suppose you are faced with $N$ slot machines (colourfully called multi-armed bandits). Each bandit has an unknown probability of distributing a prize (assume for now the prizes are the same for each bandit, only the probabilities differ). Some bandits are very generous, others not so much. Of course, you don't know what these probabilities are. By only choosing one bandit per round, our task is devise a strategy to maximize our winnings.\n", "\n", "Of course, if we knew the bandit with the largest probability, then always picking this bandit would yield the maximum winnings. So our task can be phrased as \"Find the best bandit, and as quickly as possible\". \n", "\n", "The task is complicated by the stochastic nature of the bandits. A suboptimal bandit can return many winnings, purely by chance, which would make us believe that it is a very profitable bandit. Similarly, the best bandit can return many duds. Should we keep trying losers then, or give up? \n", "\n", "A more troublesome problem is, if we have found a bandit that returns *pretty good* results, do we keep drawing from it to maintain our *pretty good score*, or do we try other bandits in hopes of finding an *even-better* bandit? This is the exploration vs. exploitation dilemma.\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "lg1gD8ILBjo-" }, "source": [ "### Applications\n", "\n", "\n", "The Multi-Armed Bandit problem at first seems very artificial, something only a mathematician would love, but that is only before we address some applications:\n", "\n", "- Internet display advertising: companies have a suite of potential ads they can display to visitors, but the company is not sure which ad strategy to follow to maximize sales. This is similar to A/B testing, but has the added advantage of naturally minimizing strategies that do not work (and generalizes to A/B/C/D... strategies)\n", "- Ecology: animals have a finite amount of energy to expend, and following certain behaviours has uncertain rewards. How does the animal maximize its fitness?\n", "- Finance: which stock option gives the highest return, under time-varying return profiles.\n", "- Clinical trials: a researcher would like to find the best treatment, out of many possible treatment, while minimizing losses. \n", "- Psychology: how does punishment and reward affect our behaviour? How do humans learn?\n", "\n", "Many of these questions above are fundamental to the application's field.\n", "\n", "It turns out the *optimal solution* is incredibly difficult, and it took decades for an overall solution to develop. There are also many approximately-optimal solutions which are quite good. The one I wish to discuss is one of the few solutions that can scale incredibly well. The solution is known as *Bayesian Bandits*.\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TmgKDLEsBl51" }, "source": [ "### A Proposed Solution\n", "\n", "\n", "Any proposed strategy is called an *online algorithm* (not in the internet sense, but in the continuously-being-updated sense), and more specifically a reinforcement learning algorithm. The algorithm starts in an ignorant state, where it knows nothing, and begins to acquire data by testing the system. As it acquires data and results, it learns what the best and worst behaviours are (in this case, it learns which bandit is the best). With this in mind, perhaps we can add an additional application of the Multi-Armed Bandit problem:\n", "\n", "- Psychology: how does punishment and reward affect our behaviour? How do humans learn?\n", "\n", "\n", "The Bayesian solution begins by assuming priors on the probability of winning for each bandit. In our vignette we assumed complete ignorance of these probabilities. So a very natural prior is the flat prior over 0 to 1. The algorithm proceeds as follows:\n", "\n", "For each round:\n", "\n", "1. Sample a random variable $X_b$ from the prior of bandit $b$, for all $b$.\n", "2. Select the bandit with largest sample, i.e. select $B = \\text{argmax}\\;\\; X_b$.\n", "3. Observe the result of pulling bandit $B$, and update your prior on bandit $B$.\n", "4. Return to 1.\n", "\n", "That's it. Computationally, the algorithm involves sampling from $N$ distributions. Since the initial priors are $\\text{Beta}(\\alpha=1,\\beta=1)$ (a uniform distribution), and the observed result $X$ (a win or loss, encoded 1 and 0 respectfully) is Binomial, the posterior is a $\\text{Beta}(\\alpha=1+X,\\beta=1+1-X)$.\n", "\n", "To answer our question from before, this algorithm suggests that we should not discard losers, but we should pick them at a decreasing rate as we gather confidence that there exist *better* bandits. This follows because there is always a non-zero chance that a loser will achieve the status of $B$, but the probability of this event decreases as we play more rounds (see figure below).\n", "\n", "Below we implement Bayesian Bandits using two classes, `Bandits` that defines the slot machines, and `BayesianStrategy` which implements the above learning strategy." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "ytA8EtbBh3zc" }, "outputs": [], "source": [ "reset_sess()\n", "\n", "class Bandits(object):\n", " \"\"\"\n", " This class represents N bandits machines.\n", "\n", " parameters:\n", " arm_true_payout_probs: a (n,) Numpy array of probabilities >0, <1.\n", "\n", " methods:\n", " pull( i ): return the results, 0 or 1, of pulling \n", " the ith bandit.\n", " \"\"\"\n", " def __init__(self, arm_true_payout_probs):\n", " self._arm_true_payout_probs = tf.convert_to_tensor(\n", " arm_true_payout_probs,\n", " preferred_dtype=tf.float32,\n", " name='arm_true_payout_probs')\n", " self._uniform = tfd.Uniform(low=0., high=1.)\n", " assert self._arm_true_payout_probs.shape.is_fully_defined()\n", " self._shape = np.array(\n", " self._arm_true_payout_probs.shape.as_list(),\n", " dtype=np.int32)\n", " self._dtype = tf.convert_to_tensor(\n", " arm_true_payout_probs,\n", " preferred_dtype=tf.float32).dtype.base_dtype\n", "\n", " @property\n", " def dtype(self):\n", " return self._dtype\n", " \n", " @property\n", " def shape(self):\n", " return self._shape\n", "\n", " def pull(self, arm):\n", " return (self._uniform.sample(self.shape[:-1]) <\n", " self._arm_true_payout_probs[..., arm])\n", " \n", " def optimal_arm(self):\n", " return tf.argmax(\n", " self._arm_true_payout_probs,\n", " axis=-1,\n", " name='optimal_arm')\n" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "8rWqI4Bc7b2A" }, "outputs": [], "source": [ "class BayesianStrategy(object):\n", " \"\"\"\n", " Implements a online, learning strategy to solve\n", " the Multi-Armed Bandit problem.\n", " \n", " parameters:\n", " bandits: a Bandit class with .pull method\n", " \n", " methods:\n", " sample_bandits(n): sample and train on n pulls.\n", " \"\"\"\n", " \n", " def __init__(self, bandits):\n", " self.bandits = bandits\n", " dtype = bandits._dtype\n", " self.wins_var = tf.Variable(\n", " initial_value=tf.zeros(self.bandits.shape, dtype))\n", " self.trials_var = tf.Variable(\n", " initial_value=tf.zeros(self.bandits.shape, dtype))\n", " \n", " def sample_bandits(self, n=1):\n", " return tf.while_loop(\n", " cond=lambda *args: True,\n", " body=self._one_trial,\n", " loop_vars=(tf.identity(self.wins_var),\n", " tf.identity(self.trials_var)),\n", " maximum_iterations=n,\n", " parallel_iterations=1)\n", " \n", " def make_posterior(self, wins, trials):\n", " return tfd.Beta(concentration1=1. + wins,\n", " concentration0=1. + trials - wins)\n", " \n", " def _one_trial(self, wins, trials):\n", " # sample from the bandits's priors, and select the largest sample\n", " rv_posterior_payout = self.make_posterior(wins, trials)\n", " posterior_payout = rv_posterior_payout.sample()\n", " choice = tf.argmax(posterior_payout, axis=-1)\n", "\n", " # Update trials.\n", " one_hot_choice = tf.reshape(\n", " tf.one_hot(\n", " indices=tf.reshape(choice, shape=[-1]),\n", " depth=self.bandits.shape[-1],\n", " dtype=self.trials_var.dtype.base_dtype),\n", " shape=tf.shape(wins))\n", " trials = tf.assign_add(self.trials_var, one_hot_choice)\n", "\n", " # Update wins.\n", " result = self.bandits.pull(choice)\n", " update = tf.where(result, one_hot_choice, tf.zeros_like(one_hot_choice))\n", " wins = tf.assign_add(self.wins_var, update)\n", "\n", " return wins, trials" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "5pwDKmkah3zd" }, "source": [ "Below we visualize the learning of the Bayesian Bandit solution." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 868 }, "colab_type": "code", "id": "mNlSH9J-PgzB", "outputId": "d012de2e-e41e-4cb8-e91d-d3cb0168b186" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABhUAAAamCAYAAAC+LDs0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ntcWMNgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 851, "width": 778 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "reset_sess()\n", "\n", "hidden_prob = evaluate(tf.constant([0.85, 0.60, 0.75]))\n", "bandits = Bandits(hidden_prob)\n", "bayesian_strat = BayesianStrategy(bandits)\n", "\n", "draw_samples = tf.constant([1, 1, 3, 10, 10, 25, 50, 100, 200, 600])\n", "[draw_samples_] = evaluate([draw_samples])\n", "\n", "def plot_priors(bayesian_strategy, prob, wins, trials, \n", " lw = 3, alpha = 0.2, plt_vlines = True):\n", " ## plotting function\n", " for i in range(prob.shape[0]):\n", " posterior_dists = tf.cast(tf.linspace(start=0.001 ,stop=.999, num=200), dtype=tf.float32)\n", " y = tfd.Beta(concentration1 = tf.cast((1+wins[i]), dtype=tf.float32) , \n", " concentration0 = tf.cast((1 + trials[i] - wins[i]), dtype=tf.float32))\n", " y_prob_i = y.prob(tf.cast(prob[i], dtype=tf.float32))\n", " y_probs = y.prob(tf.cast(posterior_dists, dtype=tf.float32))\n", " [ \n", " posterior_dists_,\n", " y_probs_,\n", " y_prob_i_,\n", " ] = evaluate([\n", " posterior_dists, \n", " y_probs,\n", " y_prob_i,\n", " ])\n", " \n", " p = plt.plot(posterior_dists_, y_probs_, lw = lw)\n", " c = p[0].get_markeredgecolor()\n", " plt.fill_between(posterior_dists_, y_probs_,0, color = c, alpha = alpha, \n", " label=\"underlying probability: %.2f\" % prob[i])\n", " if plt_vlines:\n", " plt.vlines(prob[i], 0, y_prob_i_ ,\n", " colors = c, linestyles = \"--\", lw = 2)\n", " plt.autoscale(tight = \"True\")\n", " plt.title(\"Posteriors After %d pull\" % N_pulls +\\\n", " \"s\"*(N_pulls > 1))\n", " plt.autoscale(tight=True)\n", " return\n", "\n", "plt.figure(figsize(11.0, 12))\n", "for j,i in enumerate(draw_samples_):\n", " plt.subplot(5, 2, j+1) \n", " evaluate(tf.global_variables_initializer())\n", " [wins_, trials_] = evaluate(bayesian_strat.sample_bandits(i))\n", " N_pulls = int(draw_samples_.cumsum()[j])\n", " plot_priors(bayesian_strat, hidden_prob, wins=wins_, trials=trials_)\n", " #plt.legend()\n", " plt.autoscale(tight = True)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "qkO2vdVHh3zh" }, "source": [ "Note that we don't really care how accurate we become about the inference of the hidden probabilities — for this problem we are more interested in choosing the best bandit (or more accurately, becoming *more confident* in choosing the best bandit). For this reason, the distribution of the red bandit is very wide (representing ignorance about what that hidden probability might be) but we are reasonably confident that it is not the best, so the algorithm chooses to ignore it.\n", "\n", "From the above, we can see that after 1000 pulls, the majority of the \"blue\" function leads the pack, hence we will almost always choose this arm. This is good, as this arm is indeed the best.\n", "\n", "Below is a D3 app that demonstrates our algorithm updating/learning three bandits. The first figure are the raw counts of pulls and wins, and the second figure is a dynamically updating plot. I encourage you to try to guess which bandit is optimal, prior to revealing the true probabilities, by selecting the `arm buttons`." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "id": "q6YL7mvvQbKW", "outputId": "607bfd7c-edf2-4588-8569-1699bd7e0e42" }, "outputs": [ { "data": { "text/plain": [ "'BanditsD3.html'" ] }, "execution_count": 12, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "# Getting the HTML file for the simulated Bayesian Bandits\n", "reset_sess()\n", "\n", "import wget\n", "url = 'https://raw.githubusercontent.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/master/Chapter6_Priorities/BanditsD3.html'\n", "filename = wget.download(url)\n", "filename" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 386 }, "colab_type": "code", "id": "mcak8nERh3zh", "outputId": "5b477558-828f-4898-a7aa-ece91a3e8d46" }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", "\n", " \n", "\n", "\n", " \n", "
\n", "
\n", " \n", "\n", " \n", " \n", "
\n", " \n", " \n", " \n", "
\n", "\n", " \n", " \n", "
\n", " \n", "
\n", " \n", "
\n", "\n", "
\n", "

Rewards

\n", "

0

\n", "
\n", "\n", "
\n", "

Pulls

\n", "

0

\n", "
\n", " \n", "
\n", "

Reward/Pull Ratio

\n", "

0

\n", "
\n", " \n", "
\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "\n", "#try executing the below command twice if the first time doesn't work\n", "HTML(filename = \"BanditsD3.html\")" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "aYfdd4jBh3zk" }, "source": [ "Deviations of the observed ratio from the highest probability is a measure of performance. For example, in the long run, we can attain the reward/pull ratio of the maximum bandit probability if we are optimal. Long-term realized ratios less than the maximum represent inefficiencies. (Realized ratios larger than the maximum probability is due to randomness, and will eventually fall below). \n", "\n", "### A Measure of *Good*\n", "\n", "We need a metric to calculate how well we are doing. Recall the absolute *best* we can do is to always pick the bandit with the largest probability of winning. Denote this best bandit's probability by $w_{opt}$. Our score should be relative to how well we would have done had we chosen the best bandit from the beginning. This motivates the *total regret* of a strategy, defined:\n", "$$\n", "\\begin{align}\n", "R_T & = \\sum_{i=1}^{T} \\left( w_{opt} - w_{B(i)} \\right)\\\\\n", "& = Tw^* - \\sum_{i=1}^{T} \\; w_{B(i)} \n", "\\end{align}\n", "$$\n", "\n", "where $w_{B(i)}$ is the probability of a prize of the chosen bandit in the $i$ round. A total regret of 0 means the strategy is matching the best possible score. This is likely not possible, as initially our algorithm will often make the wrong choice. Ideally, a strategy's total regret should flatten as it learns the best bandit. (Mathematically, we achieve $w_{B(i)}=w_{opt}$ often)\n", "\n", "\n", "Below we plot the total regret of this simulation, including the scores of some other strategies:\n", "\n", "1. Random: randomly choose a bandit to pull. If you can't beat this, just stop. \n", "2. Largest Bayesian credible bound: pick the bandit with the largest upper bound in its 95% credible region of the underlying probability. \n", "3. Bayes-UCB algorithm: pick the bandit with the largest *score*, where score is a dynamic quantile of the posterior (see [4] )\n", "4. Mean of posterior: choose the bandit with the largest posterior mean. This is what a human player (sans computer) would likely do. \n", "5. Largest proportion: pick the bandit with the current largest observed proportion of winning. \n", "\n", "The code for these are in the `other_strats.py`, where you can implement your own very easily.\n" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "id": "TTUtPs3gO6u3", "outputId": "83a4630a-a7bb-4cb6-ca07-983d93e1cc3a" }, "outputs": [ { "data": { "text/plain": [ "'other_strats.py'" ] }, "execution_count": 14, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "url = 'https://raw.githubusercontent.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/master/Chapter6_Priorities/other_strats.py'\n", "filename = wget.download(url)\n", "filename" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 348 }, "colab_type": "code", "id": "FNK3FQH8h3zk", "outputId": "082a8854-8595-45d7-d91a-2d70a574a3a1" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABosAAAKXCAYAAABaJ3N1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 331, "width": 837 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(12.5, 5))\n", "from other_strats import *\n", "\n", "#define a harder problem\n", "hidden_prob = np.array([0.15, 0.2, 0.1, 0.05])\n", "bandits = Bandits(hidden_prob)\n", "\n", "#define regret\n", "def regret(probabilities, choices):\n", " w_opt = probabilities.max()\n", " return (w_opt - probabilities[choices.astype(int)]).cumsum()\n", "\n", "#create new strategies\n", "strategies= [upper_credible_choice, \n", " bayesian_bandit_choice, \n", " ucb_bayes , \n", " max_mean,\n", " random_choice]\n", "algos = []\n", "for strat in strategies:\n", " algos.append(GeneralBanditStrat(bandits, strat))\n", " \n", "#train 10000 times\n", "for strat in algos:\n", " strat.sample_bandits(10000)\n", " \n", "#test and plot\n", "for i,strat in enumerate(algos):\n", " _regret = regret(hidden_prob, strat.choices)\n", " plt.plot(_regret, label = strategies[i].__name__, lw = 3)\n", "\n", "plt.title(r\"Total Regret of Bayesian Bandits Strategy vs. Random guessing\")\n", "plt.xlabel(r\"Number of pulls\")\n", "plt.ylabel(r\"Regret after $n$ pulls\");\n", "plt.legend(loc = \"upper left\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "NJB_1onah3zo" }, "source": [ "Like we wanted, Bayesian bandits and other strategies have decreasing rates of regret, representing we are achieving optimal choices. To be more scientific so as to remove any possible luck in the above simulation, we should instead look at the *expected total regret*:\n", "\n", "$$\\bar{R}_T = E[ R_T ] $$\n", "\n", "It can be shown that any *sub-optimal* strategy's expected total regret is bounded below logarithmically. Formally,\n", "\n", "$$ E[R_T] = \\Omega \\left( \\;\\log(T)\\; \\right) $$\n", "\n", "Thus, any strategy that matches logarithmic-growing regret is said to \"solve\" the Multi-Armed Bandit problem [3].\n", "\n", "Using the Law of Large Numbers, we can approximate Bayesian Bandit's expected total regret by performing the same experiment many times (500 times, to be fair):" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 348 }, "colab_type": "code", "id": "HyJfLEEbh3zo", "outputId": "26cae904-b486-48d9-9edc-fee3e11eca0b" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABpYAAAKXCAYAAACId3ktAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 331, "width": 843 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "# This can be slow, so I recommend NOT running it.\n", "# Estimated time for Graph Mode: 16 minutes.\n", "\n", "trials = tf.constant(500)\n", "expected_total_regret = tf.zeros((10000, 3))\n", "\n", "[\n", " trials_,\n", " expected_total_regret_,\n", "] = evaluate([\n", " trials,\n", " expected_total_regret,\n", "])\n", "\n", "for i_strat, strat in enumerate(strategies[:-2]):\n", " for i in range(trials_):\n", " general_strat = GeneralBanditStrat(bandits, strat)\n", " general_strat.sample_bandits(10000)\n", " _regret = regret(hidden_prob, general_strat.choices)\n", " expected_total_regret_[:,i_strat] += _regret\n", " plt.plot(expected_total_regret_[:,i_strat]/trials_, lw =3, label = strat.__name__)\n", " \n", "plt.title(\"Expected Total Regret of Multi-armed Bandit strategies\")\n", "plt.xlabel(\"Number of pulls\")\n", "plt.ylabel(\"Exepected Total Regret \\n after $n$ pulls\");\n", "plt.legend(loc = \"upper left\");" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 335 }, "colab_type": "code", "id": "WCyPsXM-h3zr", "outputId": "0b06a899-15b6-4b9d-a713-13c5b3559552" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABqEAAAJ9CAYAAAC1h9iIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 318, "width": 848 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "# This cell is dependent on the previous one\n", "# If you didn't run the previous one, you don't have to run this one\n", "plt.figure()\n", "\n", "[pl1, pl2, pl3] = plt.plot(expected_total_regret_[:, [0,1,2]], lw = 3)\n", "\n", "plt.xscale(\"log\")\n", "plt.legend([pl1, pl2, pl3], \n", " [\"Upper Credible Bound\", \"Bayesian Bandit\", \"UCB-Bayes\"],\n", " loc=\"upper left\")\n", "plt.ylabel(r\"Exepected Total Regret after $\\log{n}$ pulls\");\n", "plt.title( r\"log-scale of above\" );\n", "plt.ylabel(r\"Exepected Total Regret after $\\log{n}$ pulls\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "IbZ7ODFfh3zt" }, "source": [ "### Extending the algorithm \n", "\n", "\n", "Because of the Bayesian Bandits algorithm's simplicity, it is easy to extend. Some possibilities:\n", "\n", "- If interested in the *minimum* probability (eg: where prizes are a bad thing), simply choose $B = \\text{argmin} \\; X_b$ and proceed.\n", "\n", "- Adding learning rates: Suppose the underlying environment may change over time. Technically the standard Bayesian Bandit algorithm would self-update itself (awesome) by noting that what it thought was the best is starting to fail more often. We can motivate the algorithm to learn changing environments quicker by simply adding a *rate* term upon updating:\n", "\n", " self.wins[choice] = rate*self.wins[choice] + result\n", " self.trials[choice] = rate*self.trials[choice] + 1\n", "\n", " If `rate < 1`, the algorithm will *forget* its previous wins quicker and there will be a downward pressure towards ignorance. Conversely, setting `rate > 1` implies your algorithm will act more risky, and bet on earlier winners more often and be more resistant to changing environments. \n", "\n", "- Hierarchical algorithms: We can setup a Bayesian Bandit algorithm on top of smaller bandit algorithms. Suppose we have $N$ Bayesian Bandit models, each varying in some behavior (for example different `rate` parameters, representing varying sensitivity to changing environments). On top of these $N$ models is another Bayesian Bandit learner that will select a sub-Bayesian Bandit. This chosen Bayesian Bandit will then make an internal choice as to which machine to pull. The super-Bayesian Bandit updates itself depending on whether the sub-Bayesian Bandit was correct or not. \n", "\n", "- Extending the rewards, denoted $y_a$ for bandit $a$, to random variables from a distribution $f_{y_a}(y)$ is straightforward. More generally, this problem can be rephrased as \"Find the bandit with the largest expected value\", as playing the bandit with the largest expected value is optimal. In the case above, $f_{y_a}$ was Bernoulli with probability $p_a$, hence the expected value for a bandit is equal to $p_a$, which is why it looks like we are aiming to maximize the probability of winning. If $f$ is not Bernoulli, and it is non-negative, which can be accomplished apriori by shifting the distribution (we assume we know $f$), then the algorithm behaves as before:\n", "\n", " For each round, \n", " \n", " 1. Sample a random variable $X_b$ from the prior of bandit $b$, for all $b$.\n", " 2. Select the bandit with largest sample, i.e. select bandit $B = \\text{argmax}\\;\\; X_b$.\n", " 3. Observe the result,$R \\sim f_{y_a}$, of pulling bandit $B$, and update your prior on bandit $B$.\n", " 4. Return to 1\n", "\n", " The issue is in the sampling of $X_b$ drawing phase. With Beta priors and Bernoulli observations, we have a Beta posterior — this is easy to sample from. But now, with arbitrary distributions $f$, we have a non-trivial posterior. Sampling from these can be difficult.\n", "\n", "- There has been some interest in extending the Bayesian Bandit algorithm to commenting systems. Recall in Chapter 4, we developed a ranking algorithm based on the Bayesian lower-bound of the proportion of upvotes to total votes. One problem with this approach is that it will bias the top rankings towards older comments, since older comments naturally have more votes (and hence the lower-bound is tighter to the true proportion). This creates a positive feedback cycle where older comments gain more votes, hence are displayed more often, hence gain more votes, etc. This pushes any new, potentially better comments, towards the bottom. J. Neufeld proposes a system to remedy this that uses a Bayesian Bandit solution.\n", "\n", "His proposal is to consider each comment as a Bandit, with the number of pulls equal to the number of votes cast, and number of rewards as the number of upvotes, hence creating a $\\text{Beta}(1+U,1+D)$ posterior. As visitors visit the page, samples are drawn from each bandit/comment, but instead of displaying the comment with the $\\max$ sample, the comments are ranked according to the ranking of their respective samples. From J. Neufeld's blog [6]:\n", "\n", " > [The] resulting ranking algorithm is quite straightforward, each new time the comments page is loaded, the score for each comment is sampled from a $\\text{Beta}(1+U,1+D)$, comments are then ranked by this score in descending order... This randomization has a unique benefit in that even untouched comments $(U=1,D=0)$ have some chance of being seen even in threads with 5000+ comments (something that is not happening now), but, at the same time, the user is not likely to be inundated with rating these new comments. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "dz-kHC8qh3zt" }, "source": [ "Just for fun, though the colors explode, we watch the Bayesian Bandit algorithm learn 15 different options. " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "MU7I5gGiFc6m" }, "outputs": [], "source": [ "# To avoid any conflicts with our 'other_strats.py' contents, we re-define our\n", "# classes here so you can run this notebook in one 'run all' call\n", "class Bandits(object):\n", " \"\"\"\n", " This class represents N bandits machines.\n", "\n", " parameters:\n", " arm_true_payout_probs: a (n,) Numpy array of probabilities >0, <1.\n", "\n", " methods:\n", " pull( i ): return the results, 0 or 1, of pulling \n", " the ith bandit.\n", " \"\"\"\n", " def __init__(self, arm_true_payout_probs):\n", " self._arm_true_payout_probs = tf.convert_to_tensor(\n", " arm_true_payout_probs,\n", " preferred_dtype=tf.float32,\n", " name='arm_true_payout_probs')\n", " self._uniform = tfd.Uniform(low=0., high=1.)\n", " assert self._arm_true_payout_probs.shape.is_fully_defined()\n", " self._shape = np.array(\n", " self._arm_true_payout_probs.shape.as_list(),\n", " dtype=np.int32)\n", " self._dtype = self._arm_true_payout_probs.dtype.base_dtype\n", "\n", " @property\n", " def dtype(self):\n", " return self._dtype\n", " \n", " @property\n", " def shape(self):\n", " return self._shape\n", "\n", " def pull(self, arm):\n", " return (self._uniform.sample(self.shape[:-1]) <\n", " self._arm_true_payout_probs[..., arm])\n", " \n", " def optimal_arm(self):\n", " return tf.argmax(\n", " self._arm_true_payout_probs,\n", " axis=-1,\n", " name='optimal_arm')\n", " \n", "class BayesianStrategy(object):\n", " \"\"\"\n", " Implements a online, learning strategy to solve\n", " the Multi-Armed Bandit problem.\n", " \n", " parameters:\n", " bandits: a Bandit class with .pull method\n", " \n", " methods:\n", " sample_bandits(n): sample and train on n pulls.\n", " \"\"\"\n", " \n", " def __init__(self, bandits):\n", " self.bandits = bandits\n", " dtype = self.bandits.dtype.base_dtype\n", " self.wins_var = tf.Variable(\n", " initial_value=tf.zeros(self.bandits.shape, dtype))\n", " self.trials_var = tf.Variable(\n", " initial_value=tf.zeros(self.bandits.shape, dtype))\n", " \n", " def sample_bandits(self, n=1):\n", " return tf.while_loop(\n", " cond=lambda *args: True,\n", " body=self._one_trial,\n", " loop_vars=(tf.identity(self.wins_var),\n", " tf.identity(self.trials_var)),\n", " maximum_iterations=n,\n", " parallel_iterations=1)\n", " \n", " def make_posterior(self, wins, trials):\n", " return tfd.Beta(concentration1=1. + wins,\n", " concentration0=1. + trials - wins)\n", " \n", " def _one_trial(self, wins, trials):\n", " # sample from the bandits's priors, and select the largest sample\n", " rv_posterior_payout = self.make_posterior(wins, trials)\n", " posterior_payout = rv_posterior_payout.sample()\n", " choice = tf.argmax(posterior_payout, axis=-1)\n", "\n", " # Update trials.\n", " one_hot_choice = tf.reshape(\n", " tf.one_hot(\n", " indices=tf.reshape(choice, shape=[-1]),\n", " depth=self.bandits.shape[-1],\n", " dtype=self.trials_var.dtype.base_dtype),\n", " shape=tf.shape(wins))\n", " trials = tf.assign_add(self.trials_var, one_hot_choice)\n", "\n", " # Update wins.\n", " result = self.bandits.pull(choice)\n", " update = tf.where(result, one_hot_choice, tf.zeros_like(one_hot_choice))\n", " wins = tf.assign_add(self.wins_var, update)\n", "\n", " return wins, trials" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 605 }, "colab_type": "code", "id": "1Ftd1BZCh3zt", "outputId": "8dba932d-feec-4432-a217-f8eed9309a22" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.0172457 0.12937312 0.05561968 0.01448225 0.00399406 0.25927782\n", " 0.19089568 0.17961572 0.0947165 0.06874209 0.14760731 0.12205219\n", " 0.11024221 0.03843859 0.00280095 0.03284306 0.12083174 0.0080839\n", " 0.03874031 0.06525674 0.08347301 0.01111632 0.03359018 0.13969518\n", " 0.24030052 0.07253537 0.03050376 0.00639055 0.05568663 0.03936087\n", " 0.04075121 0.04289632 0.00564652 0.05011275 0.00061852]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABi4AAAPACAYAAACiqoEbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzs3Xd8VFX6x/HvlISSIE0QUAQUOGBB\npAoibQFRF0URsfwsa1l77wVBsaCuay+rq+u6NkQUO6igFEHBClgOXUEBkRIhBJLMzO+Pe0fmTgop\nk9yEfN6vV17jPPfec58ZLnJPnnvOCcRiMQEAAAAAAAAAAFQFQb8TAAAAAAAAAAAAiKNwAQAAAAAA\nAAAAqgwKFwAAAAAAAAAAoMqgcAEAAAAAAAAAAKoMChcAAAAAAAAAAKDKoHABAAAAAAAAAACqDAoX\nAAAAAAAAAACgyqBwAQAAAAAAAAAAqgwKFwAAAAAAAAAAoMqgcAEAAAAAAAAAAKoMChcAAAAAAAAA\nAKDKoHABAAAAAAAAAACqDAoXAAAAAAAAAACgygj7nQCAqsMYEytm8zZJqyVNl/SgtdZWTlb+Mca0\nlrRCkqy1AX+zKTtjTJqcP7umkrIlNbfWbtnFMedKuk5SG0k7JPW31n5R0bmWhfv5bpeTb1BSS2vt\n6mL2byDpWknD5Xy+fEkLJT0j6TlrbbSI406SdL6kQyXVlbRK0juSxltr16XsA6WIMaatpCWSItba\ncEJ8tqTDJZ1urX3Br/wAAABSjf6MF/2Zqt2fMcYEJJ0q6SxJXSTtISlL0leSnrXWvlLEcS0k3SDp\naEn7SMqR9KWkx6y1bxRxTEjSuZLOkHSQpHRJyyW9Jul+a+0fKftgKWKMGSTpQ0nLrLVtE+KrJe0t\n6Qhr7Wy/8gNQ8RhxAaAwEyQ9lPDzsKSpkmpLukDSN8aYkX4kZow50hgTM8b0r4TT/aGd30F1dpyc\nm3xJypB0SnE7G2OMpH9JaidphqTn5dxAyxhzjPv996m4dEvOGNNO0hw5N+67/DfNGNNc0ueSbnL3\nf0HS25IOkFO4eMHtQCQf94icvxfdJH0g6b+Stku6QtKXxpj9U/F5AAAAkBL0Zxz0Z6pof8YtJLwu\npz9yhKRPJf1H0gJJgyS9bIz5TyHHdZT0taRLJW2S9JykaZJ6S3rdGDO+iHO9JulJOd/Jm+5560i6\nVdIcY0zj1H5CACg/RlwAKMyD1trPkoPGmHRJd0m6WtL/jDGfW2t/ruTculfWiay1G+X8Yrq6+7v7\n+rKcm/xzJT1VzP7d5PxSf5G1dlDStkr7/nfFGPN/cm6+a0kaLWlcCQ57TFJ797iL46Mr3ILGbDnf\nz0eSnk04z7GSLpHztFofa+2vbjwg6VFJF7n790vJBwMAAEB50Z8R/RlV7f7MFXJGgK+S1NdauzK+\nwRgzVNK7ks4yxrxurX3bjQcl/U9OEecma+3dCcd0kPNA1/XGmA+stdMTznWxe675kgZba+NFnHRJ\nr8opDD0gZzQGAFQZjLgAUGLW2lw5w20Xyvll8dk+pFFVbjSrBWNMGzlP7GyT81TOFkndjTEHF3NY\nHfe1sOmPqtL3f4mkjXIKBgWeLErmTp10vKQNkq5MnBLKWrtG0vXu22uTDr0u/hovWrjHxOR0en+X\n1NcY07OMnwMAAACVgP5M9bMb92fOc19vTCxaSJK1doqcwoXkFBXiBkrqKum7xKKFe8yPcopyUkJ/\nxn3Y6hr37UXxooV7TK6kCyXlSTrNnYIKAKoMRlwAKBVrbdQYM1PSwZI6J283xvSW8/TI4ZKayLnB\n/FHSREmPW2tzkvavJ+eXv8MltZXz/6V12jlH5zR3v7PkDJ2N+9gZAazbrLVjE9rrL+kySb0kNZa0\nWc6TJY9Za99LOndrOU/RZ7u5/lvOPKHzrbVDipsT1n065Tw5c5IeIGfI8gZJn0l6NJ53wv7x/N+V\ndKV7rm6S7rTW3uXu01lOR6qPpL3kTEX0i5x1FB5M/KV5KZwrKSBpsrV2gzFmopwO2nnu95SYY3xN\nhLi/JMwTnDyiYZb7/Y+21t6R0MZAOR2KXpIayRm+PF/SI9baqUWcL0vOHKX/lnSUpDnW2qNL8Nne\nlvSEtXajMaYk/56d4L6+Y63dXsj2d+TMf9vBGHOAtfZ7Y8xecoZd73DP52Gt3W6MeU/O00kj5ExD\nVayENSaOkXOt3ybpMEmZkn6W9KKcdTN2JBxzh6SbJT1jrT23kDaL3V4Sxpgucjo5h8u5/nLkXH9v\nS3rILe4AAABUa/Rn/jyW/oy//Znz5Iyc+KiI7fHPUS8hFu/PvFbEMZMk3SdpsDFmD3fdiu6SWkr6\nqbA1Pqy1a4wxcyX1lXMNP76LvBPXmDjQfb1RzjqAtSQtkzMa5rHEB8WMMS9IOk1J33dJt5eE+2d3\nmaSekvaUM1Xaz3K+l0cSizYAqgdGXAAoi83ua+3EoDHmIjnT7YyUtFLOXKIfy7mB/4ekGcaYzIT9\na0maKWmMpPpy5vj8j6TFkoZJ+tAYE38K6ns5c7PGF2Gb5L7/LKG9a+Ustnecu/9zkr6VdKSkd40x\ntxfzme6QM7foBDlzhBbJGFNbzjoHj8q5WZstZ80DK+lYSR8ZY64vugW9Imdx5+ck/eC2eYT7WU6W\ns0jac+5nDMr5ZfJnxph9i8urkDzDkv7mvo13kuJTIJ3mfv+JNsv5TuM3z6u0c07cae7rVnfbRPf9\nn7+oN8bc6O43TNIi9zMslHPzPsUYc2sx6d4lp3Pwipw/w12y1t7pDn8vqS7u61dFtLddznWTuO+h\ncjpK3ycWEpJ8mXRMSfWUc+3sJWmynLlm95Y0VtLkwtbaqChuB3mupJPkdDaek/P3MSxnJMpcY8w+\nlZUPAABABaM/Q3/G1/6MtXaWtXZSMb9Mj6+h931CbFf9mRVyCi0hSZ1KcoyrrP2Z4yW9L6fPMFHO\nQtpGzpoyuyyApJIx5jQ5f+5HS/pGThHpXTkFjHFyCoX1im4BQFXEiAsAZdHWfV0ZDxhjDtTORd+G\nW2vfTNjWUNIsOU97jNXOoarHy3nKabakAdba/IRjDnOPucsY8z9r7TxJ84wxw+U8dfKotfaThP17\nS7pHzlM9Q621MxO29ZRzYz7aGPOhtXZW0udJlzRYUidr7Wbt2q1ypieycuYj/S3hXEMlvefmPcVa\n+23Ssb3kLBA3wp1qKO5mOU+oXGCt/VdCewE53+ulcp78uqoE+cUdI6m5nD+naZJkrf3UGGPl3FCO\nkPRSfGdr7e+SrjDGnCtnOPZia23inLhzjTEnyhkZ8LC1dnZCnkdIulPO015Dk7b1ljRF0m3u9z83\nKc/akgZIOqSCn4LZz31dVcw+q+QUK9qV8hglHFNSN0q63lr7QDzgDnn/TNJQOX8/Xi9lm2V1i5y/\nB+daa59JyCcgZ12QC+U8vXRd4YcDAABUK/Rn6M9U2f6MMeYCOQWk3+Xci8eVtG/SUE7fZHYpjpFK\n358ZI+kka+2ffRZjzCA51+r5xpinrbVfFnl0at0m54GzoxJHC7kjiybK+T5PVyUXVACUDyMuAJSK\nMaalnH/0JecJ8bgL5BRDJyfe5EuStXaTnBtZSTo7YVqfNu7rvMSbfPeYz+TcFB8hKVKC1K6Rc6Py\nz8SbfLetz+U8ISU5C5MlS5M0oSQ3+caYNEnnu2+vS7zJd881Rc73EpQzrDlZI0n3J93kSzu/izlJ\n7cXkfHe9VYJ1HJLEF7F7Lul88V9Ml2lKoSJcK+f7/0fiTb4kWWvnyFnsTSr8+68l6cVKGLq7h/u6\npZh94k9gxZ/GKcsxJbUksWghSdbahdrZ+TqplO2VR3HX3w1yrr/7KjEfAACACkF/hv5MEXzrzxhj\nDjHGPGiM+a8xZrGcX65Pl9TDLcbEVbX+zEeJRQtJstZ+pJ0jfkaWsr3yaO2+Jl9/uXKuox5KKHIB\nqB4oXAAoEWPMHu7TN+/KWezsfWvt+wm79HVf3ytwsGOapJicpz86uDHrvp5tjDnBGBNKPMBa+4W1\ndkni3JhF5BaQ84RLceePL242oIjtHxd3jgQHyblZj0iaWsQ+8aHJvQrZtkPOlDzJ4t/FI8YYz5Mu\n1tot1tq5yZ2K4rgdsqGSovLOpSs5Q97zJPU3xuyffGxpGWOCkvq7byv6+y+P+CJ9ucXsE58Oqm45\njimp94uIxztKBeZcrkDx6+9Rd67enRus/cO9/tZXYj4AAAApRX/mT/RnCp7L7/5MO0mXy1k3r52c\n6ak+1s4pzeLXSHxqrKrSnynqu/KjP7PYfX3WJC0ybq1dZ62dX8LRSACqEKaKAlCYue5CZYWJyZn/\nNPlJk/gTNisKO8hau9UYs0HOHJP7ypkzdLKcpx5OlTP/6XpjzDQ5c2O+U4ob2/qSGrj/fb4xprAn\n1ePz1zZNWKgsUUnPFf+ca4pZ82Cl+1rYHK6/F9FxuVJSVzlDthcbYxbI6RxNkfSxtTavhPnFnSOn\nOP2BtfbnxA3W2nXGmHfkDG0/R9JNpWw7WSPtfDrnQmPMqYXsE78JbmGMqWut3Za0vcSdmHKInzO9\nmH3inYFtSa+lOaaklhURjy9a2LyU7ZXH5XI6FgMlLTHGfCvv9Zdf3MEAAABVDP2ZotGfKcjX/oy1\n9jVJAWPMHnIKS+fKWbPkYmNMf2vtYmttzBizXc51QH+moHPkTFF1sqSTjDHz5Fx/78tZLD15hBCA\naoDCBYDCTJC0NimWI+lnOTeOhd2g1E3Yryjb3dc6kmStjRpjTpczFPliOcOHT3Z/IsaYiZIusdZu\n2EW+mQn/fcYu9pWc4bLJN/pbC9uxEKX+nCU5j7V2mTGmk5wb/lPkLKYWf7/eGDPOWvtISRJ0nxiK\nLwLY3hjzSSG7xRdaPtMYM9paW5Lh60VJ/P7PKsH+e6jgTXFJv//yiP+ZFzcEOj6UOj7MuyzHlFR2\nEfH401DFdS5Sylq7xBhziJzr7WRJh7g/V0n6zRhzm7WW+WABAEB1QX+maPRnCqoS/Rm3GDVH0hxj\nzB9yHi56QtJf3F3+kFO4oD+TxFo7112n5lo5a58c5v7cLGmlMeZat0AEoBqhcAGgMA+6c7KWRrac\nG57ihpfGt/15U+c+rfOqpFfdJ0wGyplzdqScG/72xpjuuxhenXiTaKy1i4vcs/ziN2el+pwl4XZo\nbpF0iztdzxBJo+QMW3/YGBOy1j5YgqaGSmrp/ndr7ZzvszAt5Cx691Zpck2S+Dn3t9YuL0dbFWmx\nnLlNWxWzT2v3NT7UPX4tleaYkqpdRLy++/p7EdsLk1bKcxfgTgV1k6Sb3OH9R8q5/vpIeswYE7TW\nPlre8wAAAFQC+jNFoz9TUFXszzwrp3DR3xiTYa3NltM3aSqnb/J1EcfF+y01sT/zs5xF4C81xhws\n5zo6Tc4DWRONMcdaa98u73kAVB7WuACQKvGbu/0K22iMqS9nCK5U9PDrP6y1k621Z8t5OudXSV3k\nPLlUJHeuyvhTTIUNZ06l+Odsbowp7Akkaed3UOjnLAlr7VJr7ePW2n7auXjeJSU8PL6I3YPW2kBR\nP5Lucfcr76J2G7Rz/tWK/v7L4wv3tUdhG92OZkf37Tz39Ws58+oeYIzJKKLdw5KOKamivqsm7uu6\nhFi8oxtS4VqX8tzFcudiftRae4R2TqNQ0usPAACgOqI/sxP9mQpkjGlljHnYGPOCO7qkMPGpjYLa\nWSDYVX/mQDkjK7ZLWpB0TPdiUtod+zMLrbX3WWs7S7rPDRe2sDqAKozCBYBU+cR9/WsR24e6r79K\nWiJJxpgBxphL3YXGPKy1K7Rz0be9C2kv+Zjp7mth88HKGLOXMeY4Y0xxQ2RLYpGcJ0eCko4qYp/4\nZ/2kJA0aYxoaY0a6iwUW5iX3tbDvIbmt5nKeOJIKLmKX7Dn39Wj3uNL48/t35wuNL0ZX1Pff3Bhz\nrDEms7DtleR1OR2AY4rIY5ScG+n58aesrLUb5VxbaZJOSD7AGNNAO6+DV0qZT1F/3oe7r98lxLa4\nr80KyaGOpCNKee7E4xsZY04yxhxZxC4lvv4AAACqsU/cV/oz9GcKzSuF/ZlsSRfJGQ3Qt4h9urmv\nG90fSYpPdTSyiIJHfG2Ot+NrcFhrv5VzvbYwxhToMxhj2stZmyRX0hul/Byp6s80k3RwKc+deHwL\nY8zpxpjDitiF/gxQTVG4AJAqj0naIemvxpjjEje4NyJ3um8fTlgY6y5JD8uZ91RJx7SQM0WNJH2b\nsCl+w5M81PVBOb+UPsMYMyiprQw5N7WT5QxdLjN37tSH3bd3G2OaJG43xpwo5wYuR9JTJWx2Lznz\n8D5vjOlQyPZR7us3JWjrbDnTAH5lrV1Q3I7W2h8lfS7nl/V/K2GuRX3/D8j5/v9mjBmQuMG9uf+v\nnLl/byzheVLOWrtK0v/kTAHwSOLNvjGmjaRx7tvbkw69O/5qjNk34ZiwpMclZUiaZK39vpQpdTLG\nnJ8YMMZ0ljMnsCS9nLBpofs60M01MYd/yDsvb2m1kHP9/dftuCQrzfUHAABQXdGfEf0ZVUJ/xlr7\nu6SJ7tvHjTEtE7e707be4b59IX69WWs/lTRTUltJY5OO6SbpCkkROddlonh/5lFjTMOEY+pK+pec\nIs4j1tpNpfwofzXGHJ2Ux1BJ/eV8lxMSNsX7MyMKyeEJSfmlPHeiQyU9L+lZY8xehWynPwNUU6xx\nASAlrLVLjTEXSXpa0hvGmJly5tNsJucpkvqS3pZ0f8Jhl0uaKul+Y8w5coaxbnWPGSTnF8wPujek\ncV9IOkjOHKmjJK2w1l5krZ1jjLle0r2SphpjPnbP30jSYPf1K+3scJTHeDlPuA+W9KO7WNwmOdMM\n9ZZz03WetXZlSRqz1v5ojLlbzvoCC9z2VsgpLsfbzJZ0dXHtuE96neO+3dXTSXHPSeop6WxjzN0J\nnbCifCGpg5w1D06TtNRae6m1dpYx5mY5N8kfGWOmy3myp7Gc76mhe+z4EuZVLPcX7BclhBKfWBtr\njEmcp3aMtTa+0NyVcuY4PUtST2PMLDnX5jFyfvl/v7X2ncRzWWunG2PukNNJXGiMeU/OInf9JBlJ\nPyTlUlL/lPSgMeYMOZ3ZxnKe8Kst6XVr7ZSEfT+S9L2kAyR9ZYyZImfxvCPc/O9UGb9ba+0iY8y9\nkq6T8/k+kbRSzvV3gKRecv5eXlOW9gEAAKoD+jP0ZyqzPyNn2qwOkjpL+sH9zn6Rs7bHX+QsbD1f\n0uik486SMxJmtDHmKDenZnJGz9SSdKm1NvkX9M/JKSacIckaY96X82c8RM4i5zMl3VqGz3CvpDfd\na3WJ29bRcvpmDyQ92DVBTrFlL0nfGWOmySmODZZTTHpSzsLaZfGe2/4oScvdtlfL+T66yun/rVNS\nsQdA1ceICwApY619Vs6w0EmS2su5qTpCzi9lz5Z0vLU2P2H/eXLm53xETiF1uJz5TPtI+lTSidba\n5KeXbpE0zd2/lxLmyLTW3ifnhuxNSQdKOk/OjdNSOb90Pdxa+0cKPmeenF90XyxnAbPBcm4C95X0\noqQe1toXS9nmzXKmIpoi55fFZ0g6Xc7ia09JOtRaO2cXzQyS1EbOMN+XdrFv3Cty5kDdX9KAXewr\nOZ2Rj+VMnXSYEv4dsdbeLWcxwrfkDPU9T84N9GJJV0nqY63dktxgGe0rp6MY/7ksYds5Sdv+HE7v\nTv10uKQxcuZZPUPOItTzJJ1grS30l/PW2tGShsl5omuopDPd48dJ6mmt/a0Mn2GRnO9wnaQTJR0n\np7MyWs5Cjonnz5fz5/uinD/fEW4+8xLaKDNr7fVuDh/K+btzppzrr4mcp7A6W2s/L885AAAAqjr6\nM/RnVEn9GXch88PkjJL4Rs51d46ca2K+G++T/OftTkHWRU4BrYGc6/IIOffx/a21jxZyrpica/kM\n97OcIKe/sV5OMWlwfGqpUvpAzrUTkzNqfIikH+VcV54ilTuao5+ca7u2nCm5hsj5rvtKKsv5423H\nz3+upM/krOdxjpzPGB+h3tlau6ys5wDgj0AstqtiNAAASBVjzGw5HZPTrbUv+J0PAAAAAJSUMWa1\nnPUijrDWzvY7HwC7L0ZcAAAAAAAAAACAKoPCBQAAAAAAAAAAqDIoXAAAAAAAAAAAgCqDwgUAAAAA\nAAAAAKgyWJwbAAAAAAAAAABUGYy4AAAAAAAAAAAAVQaFCwAAAAAAAAAAUGVQuAAAAAAAAAAAAFVG\n2O8EyisrK4tFOgAAAFCt1K9fP+B3Dqga6M8AAACguqmM/gwjLgAAAAAAAAAAQJVB4QIAAAAAAAAA\nAFQZFC4AAAAAAAAAAECVQeECAAAAAAAAAABUGRQuAAAAAAAAAABAlRH2O4GKMvq5M//874hCOn/Y\neLVq3NTHjOCnJUuWSJLatWvncyaoqrhGsCtcIygO1weAVHv66aclScOGDVOzZs18zgZ+498Z7ArX\nCHaFawTF4fpAVVQjRlyEFNGT74zW1pwcv1MBAAAAgBKbOXOm3ykAAAAAlW63LVzkB/fwvA/HtuvO\nSTcpEon4lBEAAAAAlE5WVpbWrFnjdxoAAABApdptCxfXnHCXIkr3xML5G3XbpDt8yggAAAAASm/W\nrFl+pwAAAABUqt22cNE4s57OPOpWRZM+Ymzbct3zzmM+ZQUAAAAApcOoCwAAANQ0u23hQpLMXi11\nVJ8rFUuKb/l9nv498zVfcgIAAACAXQkEAp73jLoAAABATbJbFy4kqU/bTjrkoNM9xYuApJXL39Zb\n37LQHQAAAICqp3379p73WVlZ+vXXX33KBgAAAKhcu33hQpJGdhukFvseqVhC9SIgad7Xz2reyh98\nywsAAAAACtO7d+8Coy5mz57tUzYAAABA5aoRhQtJumjgqarbqLMnFlBMb35yn1ZuWOdTVgAAAABQ\nUDgcZtQFAAAAaqwaU7iQpJuOu1Kx2i09saAi+tc7tyorJ9unrAAAAACgoN69eysY9HbZGHUBAACA\nmqBGFS4kaczIMcoP1ffEwrHtGv/azcqL5PmUFQAAAAB4hcNhtWvXzhPLysrS6tWrfcoIAAAAqBw1\nrnCRFkrT9SPuUr5qeeLhyCbdPnGcT1kBAAAAQEGMugAAAEBNVOMKF5LUoG6mzj16rKIKeTds/0l3\nTL7fn6QAAAAAIEk4HFaHDh08sS1btmjlypX+JAQAAABUghpZuJCk/Zu20DFHXKWYAp74js0L9MDU\nZ3zKCgAAAAC8evXqVWDUxaeffupTNgAAAEDFq7GFC0nqvf9B6t75bMWS4hvWzNRzs9/wJScAAAAA\nSBQMBnXQQQd5Ytu2bdPSpUt9yggAAACoWDW6cCFJx3Xuq7Zth3uKFwFJS5dO1uSvP/EpKwAAAADY\nqXv37gqFvFPdzp0716dsAAAAgIpV4wsXknRWn+O1Z4t+nlhA0hff/kezFn/rT1IAAAAA4AoGg+rc\nubMntn37dv3www8+ZQQAAABUHAoXriuGnK1aDTp5YgFJU+Y8qEW/rPQlJwAAAACI69y5s9LS0jyx\nefPm+ZQNAAAAUHEoXCS4ZfjVUu1WnlhQUb304Tit3vy7T1kBAAAAgDPqomvXrp5Ybm6uFixY4FNG\nAAAAQMWgcJFk7MgxioQbe2Ih5euxN29RVk62T1kBAAAAgHTwwQcrPT3dE/vqq68UjUZ9yggAAABI\nPQoXSUKhkG4+6U7lBzM88XAsR+Nfu0l5kTyfMgMAAAAAqUePHp73eXl5+uabb3zKBgAAAEg9CheF\nyEivoyuPv0sReZ9kCkc2a+yE0YpEIj5lBgAAAKCm69ixo2rXru2JffPNN4y6AAAAwG6DwkURmtZr\noL8dPUZRhTzxYO4a3TH5Xp+yAgAAAACpV69enveRSETz58/3KRsAAAAgtShcFKNd0310XP9rFVPA\nE8/f8qPue/cJn7ICAAAAUNO1bdtWdevW9cQWLVqk/Px8nzICAAAAUofCxS70aN1RfbpdoFhSPGv9\nZ3rykwm+5AQAAAAAffr08byPRqOaM2eOT9kAAAAAqUPhogSGHnSYOnYY5SleBCStXvmeJsz/wK+0\nAAAAANRgrVq1Ur169TyxxYsXa/v27T5lBAAAAKQGhYsSOu2wo9V83yEFihcLv3tRU7/73K+0AAAA\nANRg/fv397yPxWKaOXOmP8kAAAAAKULhohQuHniaMht398QCkmbNf0Jzli3yJykAAAAANVazZs3U\nuHFjT+ynn37S1q1bfcoIAAAAKD8KF6V0w7BLFMxo64kFFNO7s+7Xwl9W+JQVAAAAgJpqwIABBWIf\nf/yxD5kAAAAAqUHhogxuPeEmRdObe2JBRfXyh3do+e9rfMoKAAAAQE3UsGFDNW/u7Z+sXbtWmzZt\n8ikjAAAAoHwoXJRBKBTS2FHjlB9q5I0rX/9+51atzdroU2YAAAAAaqLCRl1Mnz7dh0wAAACA8qNw\nUUZpoTTdMuou5QczPfGQcvXQ5JuVlZPtU2YAAAAAapqMjAy1bt3aE9u4caPWrGFEOAAAAKofChfl\nkJFeR9ecMF75gdqeeDi2TeMn3qDtuTt8ygwAAABATdOvXz8FAgFPbMaMGT5lAwAAAJQdhYtyapxZ\nTxcfd6ciSvPEw9E/dPvEmxWJRHzKDAAAAEBNkp6ervbt23tiW7Zs0YoVK3zKCAAAACgbChcpsE+D\nPXXmUWMUVcgTD+Wt15iJYyheAAAAAKgUvXv3VjDo7eZ9+umnPmUDAAAAlA2FixQxe7XUCQNuUFTe\nodmB7as07o17fMoKAAAAQE0SDofVqVMnTywnJ0fff/+9TxkBAAAApUfhIoW6tmqvIb0uVywpHtlq\ndfdbD/mSEwAAAICapWvXrgqHw57Y559/rmg06lNGAAAAQOlQuEixfuZQ9exyboHiRfaGr/TA1Gd8\nyQkAAABAzREMBtW9e3dPLD8/X/Pnz/cpIwAAAKB0wrveBaU1rNMR2ro9W999//KfE0cFAtKGNTP1\nrxmZOr/fKF/zAwAAAFB6xpjk55MK08Zau7Kic9mVgw46SN98841ycnL+jC1atKjQ0RgAAABAVcOI\niwpySo+hatXmr56RFwFJq1a8pxc+e9evtAAAAACU3chifpZKWu/+VAlHHHGE5300GtUnn3ziTzIA\nAABAKfCoTQU6r99IPbRjq9YkOM+DAAAgAElEQVT/8okC7tCLgKQff3xVb9aup+M69/U1PwAAAAAl\nZ619rbC4MWa4pLaSzrLWZlduVkVr1aqVGjRooM2bN/8ZW7FihbZu3arMzEwfMwMAAACKx4iLCnb5\nkL8pc0/v/LIBSfO/eUYffD/Pn6QAAAAApIQxpp6kRyTNstb+1+98kg0cOLBAbPr06T5kAgAAAJQc\nhYtKcMOwSxSu19ETC0iaOe9xzVr8rT9JAQAAAEiF0ZJaSLrY70QK07hxYzVr1swTW7dundavrzIz\nWgEAAAAFMFVUJbll+LUaO/E2aftPf8YCimnKnAeUHr5OPfc7wMfsAAAAAJSWMaapnILF89bahals\ne8mSJSlrq02bNlq7dq0nNnXqVPXs2TNl50DlSOV1gd0T1wh2hWsExeH6QLJ27dr5dm5GXFSSUCik\nsSPHKJre3BMPKqa3Zt6nb1Yt8ykzAAAAAGV0naTaku70O5Hi1KpVS02bNvXEcnJy9Ntvv/mUEQAA\nAFA8RlxUolAopLGjxmnMyzcolP/7n/Ggopo47U7VOnKMOjZv5WOGAAAAAErCGNNQ0oWS3rHWLk11\n+78um6V+Q89OWXtt2rTRf//7X0Wj0T9jy5cv1+GHH56yc6DixJ+A9fOpR1RtXCPYFa4RFIfrA1UR\nIy4qWVooTWNOGq/8UANPPKiI/jf1di377VefMgMAAABQCqdKqiupQhbk/mr9NG3dsjll7YXDYXXq\n1MkT2759u779ljX3AAAAUPVQuPBBrfQ03TJqvPKD9TzxkPL1zHu3atUmFsoDAAAAqriRknZIer8i\nGt8YCWvS61entM2uXbsqLS3NE/vyyy89ozAAAACAqoDChU8y0uvohpH3KD+Q4YmHlKcn3rxZa7M2\n+pQZAAAAgOIYYzIl9ZY011qbU1HnWR7L04wpz6asvWAwqF69enlikUhEs2fPTtk5AAAAgFSgcOGj\n+nUydM2Ie5QfqO2Jh7RDD02+URu2bvEpMwAAAADF6CQpTdKiijxJVIGUTxlljFFGhvfhqcWLF2vb\ntm0pOwcAAABQXhQufNY4s54uH363IqrliYdj2/WPSdcrKyfbp8wAAAAAFKG9+7qyok9UEVNG9e/f\n3/M+Fotp+vTpKT0HAAAAUB4ULqqAZvUb6cLj7lRE3vlmw7FsjZ94g7JzK2z0OQAAAIDSa+i+VsoQ\n6eWxPM364LmUtdeiRQs1adLEE1uzZo3Wr2etPQAAAFQNFC6qiJYNm+ico29XRGFPPBz9Q3dMuEE7\ncvN8ygwAAABAImvtA9bagLX2qYo6R53gzgWzowroy3UfpnTKqEGDBhWITZs2LWXtAwAAAOVB4aIK\n2b9pC51+5K2KKuSJhyObNfbVG5QXoXgBAAAA1ATtw3t73m+IhDXpjdRNGZWZman99tvPE9uyZYsW\nL16csnMAAAAAZUXhoorp2LyVRgy8UdGkP5pw/u8aO2G0IpGIT5kBAAAAqCwnnjpe+4TyPbHl0dRO\nGdWvXz8Fg95+x5w5cxSNRos4AgAAAKgcFC6qoC77ttOxfa9VVAFPPJi7RmNevZXiBQAAAFAD/KXb\nFQWmjPoihVNGhcNhHXrooZ5YXl6e5s2bl5L2AQAAgLKicFFF9dzvAA3tfaViScWLwI7VGjNxDMUL\nAAAAYDfXtmN3tQ+38MQ2RsJ67fWrUnaOLl26qHbt2p7YokWLlJubm7JzAAAAAKVF4aIKO6L9Ierb\n4yLFkuKB7as0duJtFC8AAACA3dyJp95TcMqoWL6mvfN4ys7Rt29fz/tYLKbp06enrH0AAACgtChc\nVHFDDuihXl3OK1C80PafNPa12yleAAAAALu5I3tcrbrBnff9MQX0zaY52vj7mpS036pVKzVs2NAT\nW7VqlTZt2pSS9gEAAIDSonBRDRzTqY96HHpOweJFzkqNnTSO4gUAAACwG2ttuqhDWhtPbHMkpMnv\n3ZCycwwaNKhA7KOPPkpZ+wAAAEBpULioJo49pK+6dy6keLFthW6bdAfFCwAAAGA3dvwp47RvKOqJ\nrYjG9P7r96ak/QYNGmjffff1xDZv3qwVK1akpH0AAACgNChcVCPHde6rbof8rUDxIrZtuW57/S5f\ncgIAAABQOY7pe4vqBRMfWApoYfYCrVm1NCXtDxgwQMGgt4s4c+ZMRaPRIo4AAAAAKgaFi2pm+KH9\n1bXTWQWLF9lLNWbiOF9yAgAAAFDxWrQyOjDjIE9sSySkdz++LSXtp6en6+CDD/bEcnNzNW/evJS0\nDwAAAJQUhYtq6PguA9T54DMKFC+i2Us19rU7fckJAAAAQMU7ZsQNah309gR+igb11oTUFC+6deum\nWrVqeWKLFi3S9u3bU9I+AAAAUBIULqqpE7v+RYccdHqB4kVk62LdNuluX3ICAAAAUPGGH3mX6oe8\na9x9v2OJfl62sNxtB4NB9evXzxOLxWIs1A0AAIBKReGiGhvZbZA6HfR/BYoX+Vt+1G2TxvuSEwAA\nAICK1XivfdSpfk8FEnoC2dGQ3p9zT0rab9WqlRo3buyJrVmzRuvWrUtJ+wAAAMCuULio5k7qNlgH\nHXhqIcWLH3T766npuAAAAACoWoYce6n2C4Q8sdWRkF594eqUtD948OACsWnTpqWkbQAAAGBXKFzs\nBk7ufqQOPOCUAsWLvD++17jX7/UlJwAAAAAVa8Rx/1CjUL4nZiO/acG8qeVuu169emrXrp0nlp2d\nrUWLFpW7bQAAAGBXKFzsJk7pMVQHdCxYvMj94zuNe+M+X3ICAAAAUHHqNWis7s2HKpTQC8iNBTVz\n8fPKzS3/Ytp9+vRRKOQd1TFv3jzl5+cXcQQAAACQGr4XLowxtxtjYsaY5/zOpbo7tedQdehwUsHi\nRdYiRl4AAAAAu6E+g05X20BdT2xdflgTXr6s3G2Hw2EddthhnlgkEtGMGTPK3TYAAABQHF8LF8aY\nAyVd72cOu5v/O+wYmfYnFjry4rZJd/uSEwAAAICKc9IpD2qvsHcUxLLYds2Y8my52z7ggAOUmZnp\niS1fvlxZWVnlbhsAAAAoim+FC2NMUNLTkr7zK4fd1em9h6l9u4LFi/wtP+rWieMUiUR8yQsAAABA\n6qWn19aAA85RrUD0z1hEAX25fpo2b1hb7vYHDRpUIPbhhx+Wu10AAACgKH6OuLhQUi9J1/iYw27r\njMOHFTryIpa9VGMnUbwAAAAAdicHdhkoE27miW2KhPX6u+Uf4N6kSRPtvffe3rY3bdKyZcvK3TYA\nAABQGF8KF8aYfSTdLekFa+10P3KoCU7vPazQBbu1bYXGThxL8QIAAADYjYw87T61DHnv8VdEpXcm\n3lXutgcOHKhAIOCJzZo1S9FotIgjAAAAgLIL+3TexyTlSbqqok5w+2PP6ZQhh1dU89VG90b7a+ve\nf9XPv7wjTzdj+8+6+eUbdVa3cxQK+b5Ge6VZsmSJ3ymgiuMawa5wjaA4XB9I1q5dO79TQA1zzBG3\n6MWZd2hLNPRnbFHO9+q0bKH23f/gMrdbu3Ztde7cWV9//fWfsby8PM2ePVt9+/YtV84AAABAskr/\njbUx5kRJx0q61lq7vqLOs2d6RPe+/4Oyt2ypqFNUGwNad1abfY4rMPIiLX+dnpv/tPIjPCUFAAAA\n7A72bt1BB2d2khLu/rOjIb03Z7zy8vLK1Xa3bt1Up04dT8xaqy30uQAAAJBilTriwhjTQNIjkmZI\n+k9FnitNUfWos04TvshV64yIzj9tVEWerspr166d3l7QRJ9/9W/PyIu0yHr978unddvJdystlOZb\nfhUt/gQsTz2iKFwj2BWuERSH6wNAVXLUCddpzX/P1IqEJ5d+iYT12ivX6JTTHypX2wMHDtS7777r\niU2dOlUnnnhiudoFAAAAElX2iIv7JDWSdIG1tsDSCxVhv8Am5W7L1t8fmqzsrVsr45RV1rBOR6hP\ntwsLjLwI5a3XmJev147c8j2BBQAAAKBqGDHsH2oUyvfElkQ36vNPJpar3RYtWqh58+ae2KZNm7R0\n6dJytQsAAAAkqrTChTGmr6RzJD0uaasxZp/4j7tLXfd9w1Sfu7Yi6l53vUa/+KFee+etVDdfrQw9\n6DD173mJYt4VLxTK36CxE67R9twdPmUGAAAAIFXqN2qiXi2PVTiw87GlvFhQc1dN1pbNG8rV9qBB\ng1ioGwAAABWqMkdcDJQUkHSFpFVJP5I00v3vB1JxsmWxRgViHYO/a9WaTbr4wfI9ZVTdDerYXYN7\nXa5oUvEiHNms2165Vtm5OT5lBgAAACBVDus/Su2Ce3hiGyJhTXzzqnK1W7t2bR166KGeWH5+vmbN\nmlWudgEAAIC4yixcvCRpWBE/kjTN/e+UFC5uPHmA5uXspdykj5ipXHXO2KxLn3hTn8yZmYpTVUv9\nzKE6us/VBYsX0Szd8cq1ysrJ9ikzAAAAAKky8uQHtHfSlFErYtI7E+8sV7tdu3YtsFD34sWLlZWV\nVa52AQAAAKkSCxfW2sXW2ncK+3F3We2+/zYV56u/RyM9fdmx2haso1WxPQps7xT+TZ9/95Ouevjl\nVJyuWjq87cE6tu91iiZdBuHoFo2feK02b6vZa4IAAAAA1V1aWpqO7HmtMoIRT3xhzg9a/uMX5Wr7\nL3/5S4HYBx98UK42AQAAAKnyF+eudNeec6ouGNZH83Y0UyRpdEEjbVfHOlt1weNv6Qf7nU8Z+qvn\nfgfohAE3FlK8yNY9E6/Vb1s2+5QZAAAAgFRo076zDs44SNLO9S62RUOaOv8B5eXllbnd5s2bq0WL\nFp7Y5s2btWTJkjK3CQAAAEhVpHBhrQ1Ya8+qqPZbNN9bT18yTL/k1dE6ZRTY3jVtnSbN/FY3P/5S\nRaVQpXVt1V6jBt+iqEKeeDi2TQ9Muk6rNq33KTMAAAAAqXDMiBu0f8Db/fs1EtarL19ernYHDx6s\nYNDb7uzZs5Wfn1/EEQAAAMCuVYnCRWUZd9FpGtbrQH2Zt1eBbXspWy3Ttunvj76tZT8t8yE7f3Xa\ne3/935FjFEkuXmiHnnjzRtl1q4o4EgAAAEB1cOIJD2rPsLegsDS6VbM/+l+Z20xPTy90oe4ZM2aU\nuU0AAACgRhUuJOmQgw7Rkxcdqx9yMrVJtT3bQoqpe621euGD+Rr7ZNlv3qurjs1b6cyjblNEYU88\npDw9//4YLfil5hV0AAAAgN1FZr0G6t1qhNIC0T9j+Qro8zVTtGHd6jK326VLF9WtW9cTW758uTZs\n2FDmNgEAAFCz1bjCRdw/LztF3Q7YVwvymxbY1kJb1Cy0Q+c9+rZ+Xv2zD9n5x+zVUucPu1sR1fLE\ng4powod3aO7ymrkWCAAAALA76H7ECTLBxp7Y5khYb0y9sVztDh48uEBs6tSp5WoTAAAANVeNLVxI\n0sDD++mRC4/TN9kN9EfSL+pDiqlHrbV65r25uuupF3zK0B+tGjfVFSPuVX6gjiceVFTvzrxP0378\nwqfMAAAAAJTXCSffp5ahiCf2UzSoiS9eW+Y2mzZtqtatW3ti2dnZ+uqrr8rcJgAAAGquGl24iHvs\nipFq36qpFkWaFNi2T+APNQxs13mPvKX1G9b5kJ0/mtZroOtH/kP5wXqeeEAxffzZI3p7wSyfMgMA\nAAD8ZYw5yhgzwxizxRizyRgz3Rgz0O+8SiotLU3D+o9V/aTixY/5a/Xlp2+Vud0BAwYoFPKumffV\nV19p+/btZW4TAAAANROFC9ewIUP10AXD9VV2I21VumdbWDH1qL1OD02aofuffcmnDCtfg7qZuuXk\n+5QfauiJByR9/tW/9cp8hn4DAACgZjHGnC3pPfft5ZLGStpP0hRjTH+f0iq15i3bqtuefRVS7M9Y\nbiyoWcsnaMvmsq1NEQ6H1adPH08sFovpgw8+KFeuAAAAqHkoXCR54ooRatm8oX6I7llgW6tAlmpH\ncnTew28p64+NPmRX+TLS62jsqPsUSfOuBRKQtOi7l/Tcp2/6kxgAAABQyYwxzSQ9LOkjSQOstc9a\nax+SNFDSJknH+JlfafU/6u9qF8zwxDZEwpr41lVlbrN9+/Zq1KiRJ7Zu3Tr99NNPZW4TAAAANQ+F\ni0Kc+NdjNe60wfoyu7GylebZlq6oetRZp3temaZHnn/FpwwrV630NI07ebxitVt64gFJS5e8riem\n15xRKAAAAKjRzpSUIWmstTYaD1prl1tr97LWln2RCJ+cdMrDahHK98RWRKXJr9xa5jaPPPJIBQIB\nT+zjjz9WNBot4ggAAADAi8JFETIyM/XkFSdozz3ry0YbF9jeJrBZgR3bdN7Db9aI0RehUEi3jbxN\nocz2nnhA0i8/T9UDU5/xJzEAAACg8gyWtEXSXEkyxoSMMbX8Tal80tLSNLTntcoMete7+C53hb77\nanqZ2szMzNSBBx7oieXl5WnWLNbJAwAAQMkEYrHYrveqwrKysir8A2Rv3aor//2hDsrYrDrKL7B9\neayhWtTO16VnnFzRqVQJd0y+Xzs2L/DEYjGpXpMeuv6vF/uUVfGWLFkiSWrXrp3PmaCq4hrBrnCN\noDhcHyit+vXrB3a9F6oaY8xqSeslnSPpAUmHSwpJ+k7SHdbaUg/JLqo/E///SmVZOP9VfZNrFdPO\nS7NpKF/9O1+r2rUzijmycNFoVHPnzlVeXp4n3r17d2VklL49AAAAVL6i+riV0Z9hxEUJZGRm6qkr\njldG/UwtiTYqsH2/wCYFa9Doi1uGX616TXoqseYVCEhbf5+nca/f619iAAAAQMVqJKmBpHclfSpp\nuKRL3djLxphzUnWiTZMfTFVTJXJw95O0n8Ke2G+RsL74smx5BIPBAqMuJGnhwoVlag8AAAA1CyMu\nSil761Zd+cxHOrjuRtVWpMD2lbEG2jOcpyvPPrUy0/LFwx88p99+/VjJ5bVA3f00ZsQtCoVCvuRV\nGJ6Exa5wjWBXuEZQHK4PlBYjLqonY0y+nBEWp1lrX0qIt5H0g6QsSS2stQU7CkUoqj9T95z++qBT\nV/W5/P5yZl1yOduy9cykv2tdJLGAEVOPuu007KTRZWrz/fff1+rVqz2x7t27q3PnzuXItObh3xns\nCtcIdoVrBMXh+kBpMeKiCsrIzNRTlw9Xet0MLS1k9EXrwGalR3J03sNvaf2GdT5kWHkuG3KWWrY5\nWsk9rdi25Ro94UbtyM0r9DgAAACgmtoqabskz5RQ1toVkj6W1FRSx1ScKJgvDVn0pT55suyLZJdW\nnboZGtTpQtUNJi6iHdCC7YvLvN7F4MGDFQx6u51ffPGFtm3bVo5MAQAAsLujcFFG5582SreedqTm\nb2uinKQh1emKqkeddXpo0gzd8++Ximhh93B+v1Ey7U8sULwI5a7T2AlXKysn25e8AAAAgAqwUkX3\noX5zX/dI1cmCudJRX8/Ux8/dl6omd6nDIX3UKeNABRLu8LdHg5r2/TPKyd5S6vbC4bAOP/xwTywW\ni2nq1KnlzhUAAAC7LwoX5RAffZFRP1OLo40LbG8VyFK9WI7Oe+Qt/brmFx8yrByn9x6mzgefUaB4\nEY5kafyrV+vXrA2+5AUAAACk2FxJ6ZIOKGRbK/d1dSHbyiy0XTrq8/c0Y8LjqWy2WMeMuEH7B9I8\nsfX5Yb3y2qVlaq9Dhw5q3NjbX/r999+1ePHiMucIAACA3RuFixQ456SRGnvaEM3P3lPbkkZfpCmq\nHrXX6cm3Z+uup17wKcOKd2LXv6h/z0sUTVrxIhzL0aNvXK8f1/7sU2YAAABAyjznvo4xxvx542uM\n6STpCEkLrLUpv/ENb4tpyMyJmvNe5Y3mPuWUx9QslO+JLY/FNPmVsk1dNXToUAUC3r7C7NmzlZ+f\nX8QRAAAAqMkoXKRIRmamnrrieDVqVF8/RvcssL1l4A81DGzXeY+8vduOvhjUsbuOH3CDovIuyh1S\nnv43Zaw+X/69T5kBAAAA5Wet/VzSI5JOlPSWMeZ0Y8wtcta3yJd0earOtbl5bc/7tK0x9Z/yb305\n+/1UnaJY6em1dWS3K5QR9K4z/t2OFVowr/TTPNWtW1ddunTxxCKRiD744INy5QkAAIDdE4WLFDt9\nxAm6/bTB+iK7sbLlHV4dVkw9aq/VU2/P0rgnX/Qpw4rVrVUHnXX07Yoo3RMPKqK3Z96rqd997lNm\nAAAAQEpcLulCSS0lPSXpGkmfSepjrf0kVSfZePm/tbWptz+RnhVVz0n/kF3wWapOU6y2HbvrkHqH\nete7iAX1sX1eWzaXfjrYLl26qF69ep7YL7/8olWrVpU7VwAAAOxeKFxUgIzMTP3rihPUtEkD/VDI\n6Iu9A1vUJJSjvz/6tpYs2/3mdW3XdB9ddvw9yg/U9cQDimnW/Mc1YT5PVQEAAKB6stbGrLVPWms7\nW2vrWGsbWGuPsdbOT+V5mjbfRyvPf1A5jb1T0dbeGFHH/96in1csSeXpinTU8VerXaCWJ/Z7JKyJ\nb11VpvaGDh1aIDZ9+nRFo9EytQcAAIDdE4WLCnTq8OEad9pgfZndSFuTRl+EFFP3Wms1YfoXuu6R\nypurtrI0q99IN5z0D+WHGnjiAUkLv3tRT8+Y6E9iAAAAQDXRuu2B+vrU0drR0Nttq/t7vvZ54mJt\nWr+2UvIYdcojap603sWKqPTaS9eXuq0GDRqoY8eOnlhubq5mzJhRrhwBAACwe6FwUcEyMjP15BUj\n1LpFE30XaVJg+17K1v61s3Xh42/psy8qZ8h3ZalfJ0NjR/1D0fTmnnhA0k8r3tE/p/zbn8QAAACA\naqJTt36ac9xlytvDu7D1HutylfHPvyln69YKzyE9vbaO7nG1MpPWu/g+71d99vErpW6vd+/eqlXL\nO4pj6dKlWr9+fbnyBAAAwO6DwkUlOf6YY/TgBcP1dXZD/SHvTXpQUpe0dZrx9RJd/uAEfxKsILXS\n03T7qDsVzGjriQckbVo7S3dMvt+fxAAAAIBqovuA4fpw4OnKz/AWLxr9mqPI+FMqpXjR2nTRoQ16\nKpiw3kVeLKhPV7+t335ZXqq2gsGghgwZUiA+depUpowCAACAJAoXle7xK07UAfs317f5TQtsa6Tt\nOijjD136xJt6b9rusw5EKBTSbSNHq26jLorFvNt2bF6g0a+OVSQSKfxgAAAAAOp7/NmacvhwRep4\nixfNVm1R9n1nVEoOQ469VO2DmZ7Y5khYb0y/VXl5eaVqq1mzZmrdurUnlpOTo7lz55Y3TQAAAOwG\nKFz44KiBg/Xohcfpu231tEF1CmzvFP5NPy5fowsfnORDdhXnxmMvV9N9BiqWvGHbCo1+5QZtz93h\nR1oAAABAtdD/tMv1XtcBinoHcKv1yo365fZRlZLDSac8pJYh70NHqyMhTXj50lK3NWDAAIXD3sXH\nv//+e23YsKFcOQIAAKD6o3DhowcvP1l/6Wr0ZV4zJQ+IrqdcdcnYqKv+9YZeeOMNX/KrCJcNPlNt\n2w4vULwI5f2m2165Wr9vzfIlLwAAAKA6GHDerZpycC9F07xxs2ydlt3xfxV+/rS0NI0YMl4Nkxbr\nXhLdpg/efKBUbYXDYQ0cOLBAfMqUKeXKEQAAANUfhQufde/SXU9eNEwrd9TVWmUW2N4x+Ls2/r5Z\nf39osrIrYe7aynBWn+PVtdNZBYoX4egW/fO1a2TXrfIlLwAAAKA66Hvp3Zp2QGfFQt54pyWrtfjO\nMyv8/I332kd9Wp2g9MDOx6+iCuirrC/148I5pWqrVatW2meffTyxbdu2MWUUAABADUfhooq4+5LT\ndOqQHpq/o5ny5Z23to7y1b3ueo17aYoe/u/LPmWYWsd3GaCBh12maNJnDSlXz79/qz5dutCnzAAA\nAICqr9dVD2pWhw6KJfToApIOXfKTfrj7bxV+/h59R+iAtJaeWHY0pI++fUw52VtK1dbgwYMLTBm1\naNEibdq0qdx5AgAAoHqicFGF7N9qfz11yTBtitXWz7H6BbcHNimUu03nPfKWfl79sw8ZptbADl01\n8i+jFZG3kxJUVO/Pvl9vfPWxT5kBAAAAVV+X657UvPb7KZbwLFAgJnWzK7Rw/LkVfv4Rp96l/QLe\nB5HW5Yf18muXlKqdcDis/v37F4i///775UkPAAAA1RiFiyropr//ny4b0U/zcvZSrrzjv9MVVY/a\n6/Sf9+fo5kdf9CnD1Onccn9deNx45Qe8i5QHFNOXC57T0zMm+pQZAAAAUPUdeOOz+rJ96wLFi8Ps\nUn1z798r/Pwnn/iI9gp717tYEZMmvnhtqdpp06aNWrRo4YllZ2fr888/L3eOAAAAqH4oXFRRTRrv\npacvO1bRWnW1LNawwPYW2qJ9a23TBY+/rc+++MyHDFOnZcMmuvmkB5QfauSJByT9tOId3fvu4/4k\nBgAAAFQDHW56Tt+229ezhlwgKh3+w2J9ed+FFXruOhn1NOiQi5URjHjiP+Sv1ewPny9VW0ceeaRC\nIe+DWwsWLFBWVla58wQAAED1QuGiirv0jJM1+tShmp+9p7KV5tkWlNQ1ba1mfr1Elz70qj8Jpkhm\nnTq6/dR7pTqtPfGApC3rP9etE8cpEokUeiwAAABQ07W9+Xktare3JxaISn1/+EHz/3FxhZ67w8G9\n1aV+NwUTSid5saDmrv1APy8r+dp14XBY/fr1KxBnyigAAICah8JFNZCRmamnrjhe+zRvpIWRJgW2\nN9R2daqbpSuenKyXJk/2IcPUSAuladyo21Sn0aGKxbzbYtlLNfqV65Wdm+NPcgAAAEAV1+aWF/Vd\n2+aeWCAi9f/+O312/2UVeu4hx12hDsE9PLE/IiG9M3e8crZll7id/fffX82aNfPEtmzZovnz56ck\nTwAAAFQPFC6qkRP/eqwevmC4FmTvoY2qU2D7gaH1Wr9+k/7+0GRlb93qQ4apcdOxV6h5qyFKql0o\nlLded7xytdZmbfQlLwAAAKCqazX6Zdn99/LEAhFp4PcLNOeBKyv03Kec8ahaBaOe2Jr8sCZMLN1i\n3YVNGfXNN99o8+bN5eQ7LREAACAASURBVM4RAAAA1QOFi2rokStGaWBXoy9ymymatK2u8tW97nrd\n+dL7uu+Zl3zJLxUuHniaDj7wtALFi3A0Ww+/cZ1+WPOTL3kBAAAAVd3et07Qkv28I7WD+dKg777W\n7IeuqdBzj/zrP7VnyLtY97JYVJNeurHEbaSnp6tv374F4u+++66i0eQeEAAAAHZHFC6qqe7/z959\nh0dRfQ0c/85syaYHQkICCaEvHSx0RYqidGxUwd59hZ8VFRUFe++9IkVRkWYBEUSK9F6WThIgCRDS\ny7Z5/0CUzSa7WbLp5/M8Pui9O3NP5LAzw5l774Wd+ejeIRy1BXJUC3Xrb6JkEOzM5/Z3F3DgyIFK\niLDsRnbuT7/uE3AWSVMdNr75bQp/WjZXUmRCCCGEEEJUbbFPz+Fgk0iXNtUG/bdvYMW7k8pt3PC6\nUVze9laCisy82GlLZvXSWaU+T/PmzYmNdV32Ki8vjzVr1vglTiGEEEIIUbVJ4aKae/aeG7hjyKWs\ny6+PFdfp1AacdAlIYdbitTzydvWcfdHHfCGjr3gah9vG5E6WrHmT7zYsqaTIhBBCCCGEqNqip/zA\nkcZ1XNpUG1y19W+Wvz+53MZte2FfOoV2ctuse/WxRRw9vKfU57nqqqvQ6/Uubbt27eLEiRN+i1UI\nIYQQQlRNUrioARrENuST+4dCQBD7nHXd+uuTS4vAXO77YB4LFv9aCRGWTbuGjbnv6pewK0Eu7Qqw\nbcc3vLt0euUEJoQQQgghRBUX+cxckhuFu7SpVhi4ZSXLP5xSbuMOuPpBWqohLm2ZDh3z/ppa6s26\n9Xo9ffv2dWv/5ZdfZMkoIYQQQogaTgoXNci940fx9Ngr2ZhXlxyMbv0d9WnsP5LCHW/OrXabdzcI\nj2Ty6Nex6+u5tCtAatLvPPvjSzgcjsoJTgghhBBCiCos4NEZHI93XV5WLYQBm5ez7JNp5TbuiNFv\nEa9zvUc/7tAze869pT5HQkICjRo1cmkrLCzkzz//9EuMQgghhBCiapLCRQ0THBLChxOuxdw0lm32\naLf+EGx0Dj7JtJm/VrvNu4ONgUwb/TJKUDO3PlvWLp6cPYlca34lRCaEEEIIIUTVFRgSgn7SLFLj\nXGdA6Apg4Ibfy614YTAYGDHwVSKLbNZ9UNP47puHS32efv36YTC4Lh27f/9+jh075pc4hRBCCCFE\n1SOFixpqYL/+vHP3MPbkhZBKsFt/U+U0Ic487nh3AbstOyshwvOj0+l4dsRThEV1O2fF3H/6bGlM\nm/UASadlzVshhBBCCCHOFRgSgvrYbE42dF1+9d/ixcdTy2XciMgYLm99s9tm3bsdqSz7+eNSnUOv\n19O/f3+39sWLF2O324s5QgghhBBCVHdSuKjhXpswmtH9u7KuIAZbkd9uPRqdA1L4acUWJr41u5Ii\nPD8PD7qbFi2ucSte6LU8Ppj3KGsP7qqUuIQQQgghhKiqAkNCsD06nfQGgS7tZ4oXS8ttz4t2F1/O\nReEXoTvn7t2uKaw9uYI921eX6hwNGjSgefPmLm02m42lS5f6NVYhhBBCCFE1SOGiFmiW0IxP/m8I\ndmMQ+4vZvLseebQNyub+D3/i2/nzKiHC83Njz2H07nofziJprMPBghUv8+OmZZUUmRBCCCGEEFVT\naHgkhZO+cS9eFMLATctZ/v7kchm3/7CJmHV1XNpynToWb3mPzPTSzZi+7LLLMJlMLm2JiYkcPnzY\nX2EKIYQQQogqQgoXtcj9N47mqbFXsjE3kuxiNu9urztBSmo6t781j8ys9EqI0HeXt+7MDVdOwVHk\n51HQ2LTtS95dOr2SIhNCCCGEEKJqOlu8OFVk2Si1EAZuXsmKdx4rl3FHj3uLxkWeQE849Hy36AFs\nNpvX41VV5aqrrnJr/+OPP7Barf4KUwghhBBCVAFSuKhlgkNC+HDiNbRv2YjNtvo4i/QHYadLUBqv\nzP6dqR/OqJQYfdU6NoEHr3sduy7cpV0BUpN+59kfX8bhKPqTCiGEEEIIUXuFhkfifPw7TsS57oen\nWuGqbWtY8c6kchl3zLXvUl/vui9FokPlu1n3l+r4qKgo2rRp49LmcDhYtGiR32IUQgghhBCVTwoX\ntdQVl/Xh/XuGcrgwiGOEuvUnKJlE6fK56/35rFpbunVnK1NkSCjPjnkNAhu79dmydvLl+o8pkLew\nhBBCCCGE+FdgSAg89i2pcSEu7aoVrtr6Nyvfesj/YwaHMqjLw4TpHC7tFmcuC+c8X6pz9OzZk5AQ\n15hPnjzJ1q1b/RanEEIIIYSoXFK4qOVeuG8stw++lHX59bGic+nToXGRIZU12/Zz15s/kJuTU0lR\nlo5BZ2DqyGcIjerqtmm3wXGSGRveIel06dbPFUIIIYQQojYIDAlBfWw2KfGuLzOpNui/fQOr33jQ\n72M2admJHg0GYFT+mxWtobAlbzdrl88p1TkGDx6MoigubevXrycrK8uvsQohhBBCiMohhQtBg9iG\nfHL/UAwhIexx1nPrD6eQi4LTmTrzN177fGYlROibRwbdQ4sW17gXL7R8Ppj3KOsO766UuIQQQggh\nhKiKAkNC0E2axbFGYS7tqg0u37GRNa9P9PuYPfuNpZ2xMZxz116oqfyVNI9De7d4PT40NJSuXbu6\ntGmaxsKFC3E6ZZlYIYQQQojqTgoX4l93jB7Ba3dezZbcCE5jcutvpqQT5MjjjvcWsGn7pkqIsPRu\n7DmM3l3vw1kkxXU4mL/8JX7ctKySIhNCCCGEEKLqCQwJwfDoTJIbRbi0q3bot3MLa1/7P7+PefXo\nqbRQjC5tmQ4di9a+Qk52htfj27dvT1RUlEtbbm4uq1at8mucQgghhBCi4knhQrh5b+L19LmoFRus\nMdhxnX6tR6OzMYUlf+/i3jdLN427slzeujM3XDkFB64PQwoam7Z9yZuLP6+kyIQQQgghhKh6AkNC\niJj6E4kJdVzaVTv03bmd9a/c4/cxR4/5gPgi+12kOvTMnvt/2Gw2r8cPHDgQnc51yds9e/Zw/Phx\nv8YphBBCCCEqlhQuRLE6X9iZj+4dQpYSxAGtjlt/XfLpFJzBgx/N5f1vZldChKXTOjaBB697HZvi\nOu1dAU4d+5OnvnsGm8P7A5EQQgghhBC1Rd1n53K4cV2XNsUBvXfvYuMrd/t1LIPBwMhBbxClt7u0\nH3GqfDvrPq/HG41G+vXr59b+22+/YbfbizlCCCGEEEJUB1K4EB49etsYnhxzFRtzI8kiwK2/lXoS\nLT+X299ZwL4DeyshQu8iQ0K5set92A1xbn1a3kGemvEAKZnplRCZEEIIIYQQVVO9Z37kYJNIlzbF\nAb127WbzS3f6dazwulEMvGgioUVmXux15vPT7Ke9Hp+QkECTJk1c2mw2G4sXL/ZrnEIIIYQQouJI\n4UJ4FRwSwocTr+GCNglsssVQdKs7I066mFL47o8NTHyras6+0OtUbulyE+H1e7pt2q13ZvH23Idl\n024hhBBCCCHOET3lB/Y1dd1DQnHCJXssbHvxdr+O1bx1Z3rEXolR+e9pQ0Nhe+FBVi752uvxffv2\nJSDA9UWro0ePYrFY/BqnEEIIIYSoGFK4EKXWt+dlfHDPEI7bgziihbv1R5NL26BsJn74E5/Mrpr7\nXzw04A7atx2LVmTvDh125i9/iW/Xy1tZQgghhBBCnBX79BwsTaNd2hQndN+zjz3P3+TXsS65fBwd\nTM1QznnVyKqprE5ZzP6df3s8VlVVBg0a5Nb+119/kZOT49c4hRBCCCFE+ZPChfDZlLvH8vCoy1mf\nF0UuBrf+troTWLOzuf2d+VVy+aiRnfszvM8kHOhd2hU0tu+cwau/fFxJkQkhhBBCiKrMbDZ/aTab\nNQ//TKzsGMtDw6e/Y3ezGJc2RYOLLIc5PHWMX8caNnIKLZUgl7Zsh45Fm94h/aTnDbcjIyPp1KmT\nS5umaSxYsACns+i8cSGEEEIIUZVJ4UKcl/Cwunw8YTjNEmLYaq/v1m/EQRdTKnP+WM//vfltJUTo\n2cUJrbj/6lewq+6bdmemruLJ2U9SaJVNu4UQQgghRLHuAa4v5p+FlRlUeYp/ajY7m8e6LLuqAO32\nH+P4M9f7dayRY94hQXUtNJx06Pnul4ewWgs8Htu5c2fq1Knj0paTk8PKlSv9GqMQQgghhChfUrgQ\nZTKk/1W8e/dQDhQEcVQLdeuPIo8OwVk88NFc3vu6au1/ERNel2fHvo4S1NS9syCRKbMnkpxxsuID\nE0IIIYQQVd0vFovl+2L+2V/ZgZWnhCdnsbllAprrqqu0OHiC008NJ99PSzIZDAZGXf0O9fV2l/aj\nDj3fzPK+MfjgwYPR6XQubRaLhaSkJL/EJ4QQQgghyp8ULoRfvPh/Y7n32j6sy4sudvmo1upJlMJc\n7nh3AVt3bK2ECItn0Bl4dsTTRDa4rJhNu3N4/6dHWH1gR6XEJoQQQgghRFXT8omvWNOqOVqRJ8n4\nIxk4Xxjlt+JFSGgEw3o8ToTOtXhxSINZX9/n8ViTyUS/fv3c2pcsWYLVavVLfEIIIYQQonxJ4UL4\nTVRkfT6ZMIxmCTFssden6CqyBpx0DkjhlzXbuffNOeRWoU3yJva/hYs63FTMpt0Ofv7rFaavWVRJ\nkQkhhBBCiKrKbDabzGaz3vsna5YOkz5leZs2OIv85PWTc9A9dz2nT6T4ZZz4pm3p23wsQUWWjdrt\nzGL+d896PDYhIYEWLVq4tDkcDhYurLGreQkhhBBC1CiKphV9z7x6yczMrN4/QA325PszQG+gkZJZ\nbP9eZyQNDAX87xb/buhXnH379gG4PbwUtSXpAN8tfQEdrvtbaEBovS48Ovje8gpRVLLS5oiovSRH\nhCeSH8JX4eHhivdPiarGbDZ/CdwIvApcBzQGnMB64FmLxfKzr+cs6Xnm7PdKVZay4D2u3LUFtcjW\ncFn1jawdPIl6sfF+GWfXhrlsse7Afs4aVUbFyYXBnWnZcUCJxzmdTtauXUthYaFLe0JCAk2aNPFL\nbEIIIYQQNVlJz7gV8TwjMy5EuZl6z1geGnU56/OiyMHo1t9SPYXJkced7y1g/ab1lRChu07xzXjg\nutew6yJc2hUg5+Q6npg5iVxrfuUEJ4QQQgghqoorgeeBQcATQAtgodlsHuWvAZb/9YW/TlVuYobc\ny8IO3XEEuLaHpVrpMf95jida/DJOm4uvxkw0nLO4q1VT2ZG3jqOHNpd4nKqqdOrUya39yJEjZGdn\n+yU2IYQQQghRPmTGhagQS/5cxo87s+lkSC22WpaBiQO5wbx2W3+CQ0L8Pr6vb8I6HA6mzn0RR85e\ntz67EsD4/k/QOjbBrzGKyiVvSwtvJEeEJ5Ifwlcy46J6MpvN7YEGwHKLxVJ4TnsbYAtwAoi3WCxF\nV00tUUnPM5988glWJYV+lw2mVYsLyhh5+Vr2yTQGblyKLt/1Rymoq2P99Y9yQY/+fhln+ld3sFdz\nnT0RqbMzpu9Uohs2LfG43bt3s3LlSpc2o9HI2LFj0eurx0pfcp0R3kiOCG8kR4Qnkh/CVzLjQtQY\nV1zWhw/uGUqaI4jDWoRbfwQFXBR8iudn/sLT739TCRG60ul0TLnuCerHX+6+abdWyDe/Pc3cTcsq\nJTYhhBBCCFE5LBbLdovF8tu5RYt/2ncByzlT1Gjtr/GMWgzLlv/FrO9e9Ncpy0Wf2yfzy6XDsQe7\nPr+a0h10+fZF1v76vV/GGTXmPRqrrnfnpxx6vl/2JPm5Jc+gaN26NQ0aNHBps1qt/Prrr36JSwgh\nhBBC+J8ULkSFevKusTw+ZgAbciPJIsCtv7GSQQNDPvd+MJ+5iyp/Q+z7+o2j+4W34yzyR0VFY+O2\nL3nl548qKTIhhBBCCFHFpP7za5g/T6onkOzMunzw2WSysk7789R+1XvsBBZfMQ5bmGvxIiDDSa9F\n77Hix0/LPIbBYGDMte8Rq7O7tB+36/nmx3uw2WwlHAlXXnklRqPr8rXHjx9n69atZY5LCCGEEEL4\nnxQuRIULDgnho4nX0K1DczZYY7Dj+nCjAp30qSQeS+P2t+eTmJxYOYH+Y1CHS7hp4FTsSqBLuwJk\npa3miVmPyb4XQgghhBA1nNlsDjObzWPNZvNVJX3kn1+T/D22goLemcD07z7l9+Wz/X16v+l19S2s\nGPp/FEa4PmYasjT6/z6DZdPfKPMYgcGhXN37GeoWKV4kOlRmzLqrxOP0ej2DBw92a1+3bh2nTp0q\nc1xCCCGEEMK/KrxwYTab25vN5ulms/mQ2WwuNJvNJ8xm8zyz2dy1omMRlatn1x58dO8Q8nRB7HVG\nuvUHYadLYCpf/7KSCW99WwkR/qdFdBxPj34LzRTv1qcWHmParInsSancAosQQgghhChXVuA94Euz\n2Vzv3A6z2Xw50BlYZ7FYkv0ymHrUrc2oRXBgXzqffvmEP4YoF12vuIaNY54kP1Ln0q7P1Ri4aj7L\nPnm2zGPExjdnQPu7CFUdLu0HnHZmT7+/xOMiIyPp0qWLW/vChQux2+3FHCGEEEIIISpLhRYuzGZz\nd+BvoC/wCXDbP7/2Af4ym809KjIeUTU8eMsYXrnzGrbmhXOCILf++uTSLiiLBz/6kXe+rrw3zEzG\nAKaNmkbd2F7F7HtRwPRfn2LelhWVEpsQQgghhChfFoulAJgA1AfWmc3mR8xm83iz2fwGsBDIBO70\n13j33joFfUASDlyXP1IxoNka8+6nU9mzb7O/hvOrDl37sPuWl8mNMri06/I1Bq37g5VvPljmMVp1\nupRe8YMJUFz3Qd/lyGD+t8+UeFzHjh2JiYlxabNarfzyyy9ljkkIIYQQQvhPRc+4+JAzK+z0tFgs\nz1sslukWi+VxYDxgAB6t4HhEFfLuhBGM7N+Ntfn1KUDn1t9KPYW+MIc731vA3xv+roQIz/jflbfS\n5YJbcbotcaWxfstnvPbLJ5UUmRBCCCGEKE8Wi+UrzryEtR94HPgMuA6YAVxosVi2+HO8m8c/S5t2\ncRQq6W59Af9s3D37u5f9OaTftGx3Ecf+9yFZ9V33tVOtcOW2jWx5qew1nm59RnFx+AXoznmtSENh\nS8F+/lj0YYnHDRgwwG2/i5SUFNnvQgghhBCiCqmwwoXZbFaBr4AJFovlcJHuJf/82qii4hFVU7OE\nZnx6/1Aio+qyzR7t1q9H42JjCis37+XON38kNyenEqKEoR17MX7AVOyKyaVdATJSV/LErMdl3wsh\nhBBCiBrIYrEss1gs/S0WS4TFYjFYLJZ4i8Vyq8ViOVge4/XqPpRbx96DQz2MhuvsAj2BZGWGV9mN\nu2MbNiPz4a841cB1VrXigJ67LRyYdkOZx7hq+AO0MzaAc4oXNk1l7alVbFy9oNhjZL8LIYQQQoiq\nr8IKFxaLxWmxWF63WCzFvY7e6p9ft1VUPKJqGzN8OO/cPYzDhUEkauFu/eEUcnHwKV6Y+TOPvTuj\nEiIEc/14nh79NlpAQ7c+tfAo02ZNxJLq970ZhRBCCCFELRMYGMpdtz5H3Xp52Mhz6VNQ/9u4e9nM\nSoqwZHWiYnA+8R3JjSJc2hUNOu5LJm3KteSX8WWk68a8iFl1LY7kOVWWHfiWg3s2FHuM7HchhBBC\nCFG1KZpWdLX+imE2myOAEOAS4FXObHbXz2KxHPLlPJmZmcX+AOkjh5EYEMyp1m1pdN2IMscrKk9u\ndjbvrziCOTibMAqL/cx2RzRmUxb9e3ar4OjO+Hb7zxRkbSqyeBQ4UWgeP4xLGrWrlLiEEEIIUbla\ntGhRbHt4eHjR2wZRS5X0PFOSw0m7WbT4O4zOBm59Tuyo+iTGj36KAJOpmKMrV/KzIzEfSHW7Z06N\nC8H5yFeEhkeW6fyff30jh1wnpVBPb2d0n6lEN2xa7DELFiwgJSXFpa1+/foMHTq0TLH42759+4CS\nv1OEkBwR3kiOCE8kP4SvKuJ5pqL3uDjXaSAJmAn8BnT2tWjhSSNTJpcoxxiy+3fCn3iY7GlTSP7t\nN3+dXlSg4NBQHh7UjuYNIthgjcHu9qgD7XVpYLPyym972HdwX4XHOLL9QJrGDy9234sDST8xa9vC\nCo9JCCGEEELUPI3jW3PvrU+jNyYWs3G3HuxN+OSb11m3aWklRViyuKe+ZX2rJmhFnkLrJ+cQ9PwY\nEg+V7T7+hlEfEadzuLSdtOuZ88eTZGcUvwRUcftdpKamsnHjxjLFIoQQQgghyqYyZ1z0BoKBC4B7\ngELgeovFUvxc3hKU9IZSyI293drsTpVD1giOBQYRMHIU7Qa4r2sqqr43v5xFUqGJVurJYvszCGB/\nbggv39Kb8LC6QMVVjvekJPLVb8+h1wrc+hyGaB65+mkigkLKNQZxfuTtAuGN5IjwRPJD+EpmXIiz\nfJ1xca4Va+azfecejFodtz4HVgJMadw87pkyxVce1r12H71370B1rbuQH6ln88gn6NC1z3mfOzP9\nBNMXTSTVoXdpj9c5uGnkpxiN7jNRTp06xY8//ujWPmjQIBo0cJ/ZUhnkOiO8kRwR3kiOCE8kP4Sv\navSMC4vFstxisSyyWCzTgB5AODDzn028y4VeddLClM5lWjIXzniDpJHXsu6W8Rxat668hhTlYOJN\no3ntzqvZmRfKcdyLABH/7H/x2uwlPPpOxe5/0SqmEZNHv4kzwP0BR2dL4+XvJrL24K4KjUkIIYQQ\nQtRMvboP5Zaxd+PQHcKJ60wDHUbsBXG899kzHKxi959dHnyXny/siaNIDSHwlJ2LZ0xl1cJvzvvc\n4XWjuKbXU0TqXPepSHLo+Gb2ndhsNrdjIiMj6dbNfcnZX3/9lYIC9xeShBBCCCFE+avMpaL+ZbFY\nDgNLgRZAM3+cc60jltSCkt9sN+octDadoq8jkRZvPc7hUdfx9203cmx31bqpFyV7c8Io7r6mL+vz\nosnB6NYfr2TR3JTHxA9/YtFfayosrmBjIM+NfoE6MZdS9PU5HTYWrHiJT1d8X2HxCCGEEEKImisw\nMJS7bnmemAYaViXbrd/obMCvS5cw67sXKyG6kvW+5zl+6TkYe4jry3rGTCf9fv6MP7589bzP3SDB\nzFWd7iWsyLJRh5wwe+Y9xR7Tvn174uPjXdocDgfz588/7ziEEEIIIcT5q7DChdlsbm02m5PMZvPn\nJXwk4p9f9SX0+6TtN7MI/nYhP9ftwHp7DOmFgSV+1qS30y7gJJfbjtBw6gQOjBrB6jtuITst1R+h\niHIUFVmfjycMo2ObxiXuf9FWdwKjw8Yrv+3h7w1/V1hsD1x1Gz0vugtnkT9mCnD4wAKemvMshVb3\nN76EEEIIIYTw1bBBdzPqmhuwqYloRV6fMRBEdmZd3v/sSU6lp1VShO56j3+IPwbdjjXC9X5Zn6sx\naM1C/nz38fM+d6v2PejbdARBqmvxYq9mZfb0CcUe079/f4KCglzaMjMzWb58+XnHIYQQQgghzk9F\nzrjYB5iA681mc5NzO8xmczOgJ3AC2OvPQXu98TatZ8zG9tFsfg1pxUZrfTKt7uuanhVssNExII3+\nhQcJnjCevWNGsuqeO8jNzPRnWMLP+va8jI/uHYLNGMxuZz23fgNOOgeksGrzXu546ycys9IrJK4B\n7btz17CXsauhLu2KAlruAabMup99ackVEosQQgghhKjZIutGc8+tUwkNO42NfJc+BQWDsxGzf/yG\n+Ys+qqQI3fUYOIYN454mr57r+2u6AhiweTXrXrvvvM99Uc+h9IjujVFxurTvcpxm7qwn3T6vqirD\nhg1DVV0fk/ft2/fv2t9CCCGEEKJiVOjm3GazeRQwAzgFvAccBJoA9wFRwC0Wi+ULX855PpvZZael\nsv2pJ4jOzKK5kkGIwer1mNOFgRzQhXEiqh4XPvM8weHhvg4rKtCDb80iLFChQTHT5QGOaqFkFWi8\nfv/oConH4XDw3LxXsWbtcpsT4kTh4g43cvWF578JoSg72YhKeCM5IjyR/BC+ks25xVll2Zzbk4MH\nd/HLsjkYne57rzlxoOkSuXH0YwQGhhZzdMVLPLSPhh/eR3hKoUu7psKGlk1o/ZhPj4kuFv3wIuuz\nd+E4505cj0aXsHYMuOYRt88fOnSI33//3aVNURSuv/56wivpOVCuM8IbyRHhjeSI8ETyQ/iqIp5n\nKrRwAWA2m7sDj3JmhkUEkAWsB163WCyLfT1fWW/00/bt5+DL06ifnUtz3WkC9Xavx5woCOagPoyT\n8XFc9uIrZRlelKMTp1J54ps1tArKJJTii1MWZyRRugIevW1MhcQ0fc0iLJY5KEWm72tASGRnHh54\nNzqdrkJiEa7kIi28kRwRnkh+CF9J4UKcVV6Fi7O+mP40hQXR6IrZE86qnKZdq+Zcdsk15RlCqWVn\nnkJ95UbqJ+W4tGvA/qZRRDz4BYEhJe9j6MkPMyex1XoM7ZzihVFxcknUpfQZeIfb51etWsWuXa77\nH5pMJsaOHes2I6MiyHVGeCM5IryRHBGeSH4IX9XIwoW/+fNGP3HLVo6/8xqxOXk0N5zGWGQzt+Ic\nLwjliCGE9MaN6TXtBX+FIvxo1drVfL3hFB2NaRhwuvU7UNhmi6ZvI7hu8NByj2fb0QPMWvISegrd\n+hz6SB4Y/jT1QmRGT0WTi7TwRnJEeCL5IXwlhQtxVnkXLgDWbVrKuk1rCdCi3Pqc2FD1yYwf/RQB\nppKX1K1IqVOuo9mhk27tJ+KCKZj4GXWiYs7rvLO+vo9dTtcZ2SbVSb/4QXTrM8rt899//z2nT592\naYuJiWHIkCHnNX5ZyHVGeCM5IryRHBGeSH4IX1XE84xuypQp5T1GuSosLJzir3OFx8QQN+xqwq8f\nwY6wWPbtOExhvoEItRBVKf55IlRvJU7NoUVWMidn/8De+Quw7NhGwmWy7E9V0SgunlZ1VHYnHmWf\nvS7Rap5LvwrE6nLJyCng09VJJAQXEBN9fg9DpVE/rC7d21zOX3s3ozhcH5xUZz6rdy3BGNSYhMjy\ni0G4S08/s+9JOE6AkAAAIABJREFUZGRkJUciqirJEeGJ5IfwlclkeqayYxBVgz+fZ0rSMLYpHdt0\nZuuueTidoSjnbHWooANnHdZt/wObNZNGcS3LOxyvQnqPYNeupdRPz3JZZjU4y4Z+8zx212tOVGy8\nz+dt33EgyVsXkX7Oy0x2TeFYtoXQAhMxca5/WdO8eXN27tyJ0/nf53NycnA6nTRs2NDn8ctCrjPC\nG8kR4Y3kiPBE8kP4qiKeZyp+jms10fry/lz8xXQafvsDa4fcwQqlIQfy6+BwllxMamDKprt6nIEH\nVpAxcijbxo3hr2nyTFpVDO7VgzfvGs6BgiCOaO4zGkw46GJK5bc127jzrR/LdQPvYGMg00Y/T1TD\nvhQtiemw89vq13n/j5nlNr4QQgghhKhdAkwmbr/5eZq1qINVyXDv1+qxfXsin375BIUFBZUQoavm\nT0xnRdvWOF337Cb4hI2OX05mxY+fntd5x9/4KU2KPNLlOnUs2TuTPdtXu7QbjUYGDRrkdo4tW7aQ\nmJh4XuMLIYQQQojSkRkXpRDTth2xw68l5PpRrEzN5VhyJlq+Sri+EKWEOkaYvpB4JZsW6YdJnfUj\nexcs4MD+/TTqeUl5hyuKcW7l+PKuHehqTuCrtccwGBWCsLl8NhA7DQz5/LbjKAtXbufKbu3LLa6u\nzTqhmeI5mLzRZd8LBcjJPMAfu9fTpXkPjAZDucUgzpC3C4Q3kiPCE8kP4SuZcSHOqojnmXM1bdyO\n9q07sHnnAtDCXGZfqOjAGcG67UtxOvKJa9isIkNz06DnYJYc3U+z9CTUc7Yi1BVqNE3azu/Jh2l8\ncW+fz9uu7WAO7/yJTO2/h7lCTeVo2lriQlsRXif63/bg4GCMRiPJycku5zh06BAtW7bEaHTfO6Q8\nyHVGeCM5IryRHBGeSH4IX8mMiyqo29330umrGUR+N48lHQexytmAxIJwPG0VEh+YRU/lGP23/8Kp\nkcPYMn4Mq954reKCFm6CQ0L4YOK1jOjfjXX59cnDvTAQp2TRKiiHBz/6kVc+K7/ZD/1aXcy9V7+C\nXRfh1qcUHuX5b+9nzcGd5Ta+EEIIIYSoXQIDQ7nrludpGKfDqmS69QdoUWzZsp/PvppcCdG56n3P\nNH69YjTWcNdHV12exsANy1n/yj0+n9NgMDD2ug+J09ld2tMdeuauep4Tx464tLdv357GjRu7tDmd\nTubOneuyjJQQQgghhPAfmXFRBvE9ehJzzbUEXj+aP/YkcyKtAKVQIUzvvukygKJAhL6QRko2TY/v\n5fisn9i7cAGHU1KI69ylgqOvXUqqHNeNqMvQrmbSM9JYnmYiWpfnVs2rp+Rj0Ox8vjYZa9p+Wrf0\n/7q/oaYg+rTrz99Jh7EVpLqs5aviYO+RVexOz6NLkw5+H1ucIW8XCG8kR4Qnkh/CVzLjQpxVmc8z\nLVtcRKvmrdm2+2cULQzlnLtQFR2aI4I1m39FpzhpENu4ssKkcZuL2Fy3EXUPr8KY91+hQHFC4xMn\nsOz4nTq9rvHpnAaDEXNCbw7uX0SO878ngDxN5cjhJZjje2EKDP63vUmTJuzfvx+r1fpvm91u5/jx\n45jN5jL8dKUj1xnhjeSI8EZyRHgi+SF8JTMuqpFLH5tMh+kzifh2Pj8368UaZyxHC0JL/LyqQOPA\nDC7hKH3XfE/aiOFsvnEs6z47v7VaRdkM7NefD+8Zis0YzC5nPbd+HRoXGFJJPpbK7e8uYP2m9X6P\nQafT8cSwB+jYbhxOXNcgU4CUxMU8MetxcvLz/T62EEIIIYSoncLC6nDXrc8RFWvHqmS79Qdo0azf\nsJPPv3qyEqL7T4eufUh98EtONQxyaVc06LAvmdNPDSc/J8enc4ZGRDLyipeIKjLzIsWhZ+aiieRk\n/7cXiKqqDB8+HL3eddONlJQU1q1b5+NPI4QQQgghvFE0T2scVQOZmZlV+gdYMfkx6h4+TIIth1iT\n+4NAUQ6nwuHCCI4GBuO8vD8XjxtfAVHWfPv27QOgRYsWpfr8I+/MJCBAT6Nips4DZBHAnrwwnhnR\nmQaxDf0W51kHTx7nk5+fQ+90zxkHBgZfOpEezdr5fdzazNccEbWP5IjwRPJD+Co8PLyEndJEbVOV\nnmcyMk4x64c30DnjXfa+OKtQSaVX1z50aN+zEqI7Iz8nh6xXb6LZoZNufRkxJpJvf43Gzdv6dM6k\ngzv5ftXzpDtcixJxOjvjr/2YwKD/Zl6kpqYyf/58t3P079+fhIQEn8b1hVxnhDeSI8IbyRHhieSH\n8FVFPM9I4aICrZj0CJHJSTS2ZVPf5P1tILtT5ZA1gmOBQegHDqbjiFEVEGXNdD5fwLk5OTz46W80\nDs4nkuJnOaQSzPFcAy/fNoDgkBC/xHqWw+HghQVvUpCxjaLfBBoQE38F9/W7wa9j1mZykRbeSI4I\nTyQ/hK+kcCHOqorPMz/Me5uUNAdG3O9vHRQSEJDGzeOfrYTI/rP7hZu5eO8hlCJbTOTX1fH30P+j\nc5/hPp1v/86/mbfpHTKKFC/idQ5uGvkpRqPp37YdO3awZs0al8+pqsqIESMIDS151n1ZyHVGeCM5\nIryRHBGeSH4IX1XE84zscVGBEi6/guhrrsN4/Rh+X72V9EwFo1UjWG8r9vOqohGpz6cxWTSwbCLx\n23nsXbSAE1YrMW3lbXtfnM9afUajkcHd2lA/wsR3uwqIMFgx4vpkFIKNGGMBC7Yns2T1Fi7v6r89\nKFRVpVerHmQ4IziWug2F/55pFSA36yBLd6/j4ubdMRmMfhu3tpL1HIU3kiPCE8kP4SvZ40KcVRWf\nZ9q06kqzJs3YZlmCqoUW2ftCj9MRzt+bf8agU4mNKb9ZBp5EXTqcPw9tpcnpFBTHf+2GfI24/WtZ\neuokjTv2KPX56kbHEe6MJPHkRgq1/2abZGkqiTsX0L7NYHQ6HQDR0dGcPn2ajIz/lpLSNI19+/bR\ntm1bVNX/KzLLdUZ4IzkivJEcEZ5IfghfyR4XNVivV96g7YxZBH27iJ/rdmC9PYaThUElfl6vOmlp\nSucyLZmuCz7m+Mhr2HTTWDbOnlGBUddOLZq15JP7h9K2ZQIbrDHYivlj01jJoJkpjwc+mstrn8/0\n6/jXXNiH24e8iF11f3tLLTzGS99OYPWBHX4dUwghhBBC1G6RdaO559ap1InMxUauW79Ri2Htum18\n9tXkSojujB7/e4OFPQZgD3F94c+QozFg5UJWvvWQT+dre0Fv+rccQ4jqcGk/7FSYPus2bLb/Xjjr\n27cvYWFhLp8rLCwsdhkpIYQQQgjhO5lxUQUkXDWAqGuvo/CKwfy1ZjsZOToCbQ4C9fZiP392JkYC\n2cTt3ULytz+xd+FCjubk0KBjxwqOvnrwR+W4WeMmDOliZsu+A2zLCyNKzXVbwilKyUOv2fl8bTI5\nx/fQztyqDFH/JyIohD7truTvpMPYClJdxlVxsi9xNTtPZtO1qfz+ny95u0B4IzkiPJH8EL6SGRfi\nrKr+PNO2dXcaJ8Szfe9SVC2syOwLHZojgjWbf8NuyyY+ruKXl2jS6RJW6UJocHQj+oL/ZiirDmiW\ndoztO5dT79LSLxsVE9cCY6ZGcuYubOfMvMjQIHnHIjp1GgaAoig0b96cXbt24XT+Nys7Pz+f7Oxs\nGjduXPYf7hxynRHeSI4IbyRHhCeSH8JXFfE8I3tcVFG5mZlsmjyJqFOnaebMpE5A8XssnMvhVDhs\njeCoKQh7rz50ufW2Coi0eiiPtfqmfjyDLC2QluqpYvsL0bGtMIpbukXR7eJufht37qZlbNj2NWqR\nZasAnMZYHh4+mYgg/+63URvIeo7CG8kR4Ynkh/CV7HEhzqpOzzPffv8Kp04bMBDs1ufAhk6fzPjR\nTxFgMhVzdPk6sGcrTT5/mLBUq1tfcqMIdA99Rmh46f8yZuXv0/nz2GIKnK6zrVsoBsbf+Om//33q\n1Cnmzp1L0efq7t27066d/5b3leuM8EZyRHgjOSI8kfwQvpLNuUuhOt3on6/czEw2P/4IUaczaOrM\n8qmIccwURGHPS+h2x90VEGnVVZ5fwA+8PYtQk0qcklVsfzZGdudH8Mig1rRo1tIvYx45lcaHi6ai\nd7qP6UBPv25306/VxX4Zq7aQi7TwRnJEeCL5IXwlhQtxVnV7njlx8ihz5n2I3hmHUswSqoVKOq1b\nNKHfZSMqPLbszFNor95Mg0T3e+TsaCN7Rk+h9YWl3/di+S8f81faX1g115+zpRLAuBs//ve/9+3b\nx/Lly92OHzx4MLGxsaX/ATyQ64zwRnJEeCM5IjyR/BC+ksJFKVS3G/2yOncmRlNnJnVLUcRwagqH\nC8I5FhhMQbcedLv73gqItGop7y/gzKx0Hv18OY2D84ik+N+TdAI5kBvMc+N6EBVZv8xjOhwOXlr4\nNnmnt7gtWaUBofW68NCAu/7dRFB4Jhdp4Y3kiPBE8kP4SgoX4qzq+jzzw7y3STlhx6i578PmxA66\nJMaPfozAQPf+8nZo2ljaHTiKUmSCsjVc5bce19JnVOmfhxbPe4u/Mza4LBsFYFZN3DD+o3//e82a\nNezY4brvnKqqjBo1iuBg9xkqvpLrjPBGckR4IzkiPJH8EL6SwkUpVNcbfX/Izcxk05OPEXXqFE0c\n2UQG5Hk9xqkpHCkI56gpmPyLLqb7hP9VQKSVr6K+gA8cOcAL83bSNjCdEGzFfiaFEFJy9bx82wCC\nQ8q+pNNPm5ezfutXxS4dZVfDuXPQEzT2Q6GkppOLtPBGckR4IvkhfCWFC3FWdX6eycg4xawfXkd1\nxqPi/rKMVcmgSXw9Bl55c4XHtvr1/3H5ns2oha7tDhMsaXMRl0x4rdTn+uXHl1mXvQO75vrHtpUa\nxNjxH/z73wsXLuT48eMunwkMDGTUqFHo9Xrff4hzyHVGeCM5IryRHBGeSH4IX0nhohSq842+P+Vm\nZrLpqcepd/IUTRxZ1CtVEQMSCyJINgWRe8FF9PzfgxUQaeWo6C/g5atXMHNzJh2NJzDiKPYziVo4\nuQUOXr9/dJnHSzp9gvcXTkPvyHDrc6LQtvUoxnS9qszj1GRykRbeSI4ITyQ/hK+kcCHOqgnPMwt/\n+YQjRzMxauFufU4caGoSY65/iLCwOhUa17Lpb3DVuvkYslz/F2sqbGneiBZPfF3qcy364UU25Owq\npngRzNjx7wPgdDqZPXs2ubm5Lp+Jjo5m2LBh5/lTnCHXGeGN5IjwRnJEeCL5IXwlhYtSqAk3+v6W\nm5nJxilPUC/tJE3s2USZcr0e49QgqSCcZFMwuR0voMeDD1dApBWnsr6AZ/70EyuPqbQ3pKGn+FTd\n76yL0VHA1HvGlmksh8PB6799Smba6mKXjlKDmvH48EcxGQPKNE5NJRdp4Y3kiPBE8kP4SgoX4qya\n8jyTn5/N17NeAEc8Ku6zC6xKFrH1TVwzpGKXrd22dhkd5jxPyAn32dDHGoWhPPRFqTftXjjnOTbm\nWrAXudturQtlzLh3ASgoKGDmzJk4HK4vL5nNZnr16nWeP4VcZ4R3kiPCG8kR4Ynkh/CVFC5Koabc\n6JenFQ/cT73UNBrbs4kuRRFD+6eIkRQQTJbZzKWTn66AKMtXZX8Bv/f1bCx5gbTVpRWzheEZuxxR\nNDDk8fCtY8o01p+Wzfy25j10xSxV5SCAYb0m0rVpmzKNURNVdo6Iqk9yRHgi+SF8JYULcVZNe575\nfdlM9hxIIkCr69an4cSuJjN80O00iGlUYTF52rQ7J9rAtpGT6XDxZaU614LvprIxbx+OIsWLtrpw\nRo17G4C0tDTmzZvndmy3bt1o3779efwEcp0R3kmOCG8kR4Qnkh/CV1K4KIWadqNf3lY89D8ij6fQ\n2J5NfVNOqY45WhBGoiGY9Lh4Lnvx5XKOsHxUlS/gqR/PIEMLopV6sth+Bwo77NFcEFnIrSOuP+9x\ncvLzeWne81CQ6NanAdEN+nB//5vO+/w1UVXJEVF1SY4ITyQ/hK+kcCHOqonPM4UFBXw961mc9jhU\nDG79NvIIC8nmhtGTKzSu/c+No+P+JLdNu21hKr91G0bvsRNKdZ6fZj/NloJDRYoXGm10dRg97i0A\n9uzZw19//eV27FVXXUV8fLzPsct1RngjOSK8kRwRnkh+CF9J4aIUauKNfkX58+EHqXf8GAm2bGJK\nWcRILQjhsD6UU/Wj6PX62+Ucof9UtS/gR9+ZgS7ASBPFfU8KABsq22zRDGpuYEj/89+b4suVc9m/\nfx5KMctUOfT1uH/IE8SEu78NVxtVtRwRVY/kiPBE8kP4SgoX4qya/Dyz6u+FbN6xjQAtqth+q3Kc\nS7v2o0P7nhUW08o3H+SK3RvRFbi2OwPg91YX0OOBN0p1nrmznmRL4RGcbsWLcEaPeweA1atXs3Pn\nTpfjFEXhuuuuIyIiwqe45TojvJEcEd5IjghPJD+Er6RwUQo1+Ua/Iv056WEik5NJsOUQa8ou1TEn\nC4I4pA/jZN06XDjtRYLD3Tfjqyqq4hdwbk4Oj326iLpBGg2V4v+f56Nne2E9bu0WRbeLu53XOHtS\nEvlq8Yvone7LhDlR6XrBzQzteP7r7dYUVTFHRNUiOSI8kfwQvpLChTirNjzPfPbVZGzWWHQY3foc\nWNEbjjFu1JMEmEwVEs/ymW/T/++fMGa6Tr3QVNjWLI5mk78p1Xl+nPkEW61JRYoX0EYNZfT4M3te\n/Pzzzxw9etSl32AwMGrUKEw+/LxynRHeSI4IbyRHhCeSH8JXUrgohdpwo1/R/pz0CHWTk2hky6Wh\nyX0d2OKcLgzkoBLGyYgwOjwzjdDo+uUcpW+q8hdwZlY6j36+jEbBBUSRV+xncjCyM78Ojw5qRYtm\nLX0ew+Fw8OLCt8g/vbXYjbsDwtsxaehEDDr3qfy1RVXOEVE1SI4ITyQ/hK+kcCHOqi3PM9u2r2LF\nuqUEOGOL7S9U0mnZJI7+/cZWSDy7N62m9awphKRZ3fpS40PIvfdDomPjvJ7nh5mPs82a7Fa8aKUG\nM3b8+zidTubMmUNWlutzVUhICCNHjkRVS9oBz5VcZ4Q3kiPCG8kR4Ynkh/CVFC5Kobbc6FeWFdOe\nJnzvPuIKc4kPyEQtRUpmWQM4SDgnQkNoPvkpoho1Lvc4vakOX8CJyYlM/WETLYOyiKCw2M+kY+JA\nbgjPjetBVKTvxaGft69m1cZPUXG49dkVE9f1fpCLEnwvjNQE1SFHROWSHBGeSH4IX0nhQpxV255n\nvpk1jaycUAwEufU5caCpSYy69gEiIiLLPZbszFM4Xr2VuET35VvzI3X8dfmt9Bg4xut5il82Clqp\nQYwd/wFWq5VZs2ZhtboWSWJiYhgyZEipYpXrjPBGckR4IzkiPJH8EL6SwkUp1LYb/cq05q03CNy0\ngQb5uSQEZKJTvf+vz7UZOeAMJy0kiAb3PUCjTh0rIFJ31ekLeOuOrbzzxxHaBaYTjK3Yz6QRTFKu\niZdu6U14mG97VJzMyeT1edPQ2dLc+jQgMrYX/7vy1vOIvHqrTjkiKofkiPBE8kP4SgoX4qza+Dxz\nLCWRnxZ9gt4Zh4L7jAMr2UTVcTLiuocqJB7L8zdx4f7DKEXe7XEEKfzWtiu97nvR6zl+mv0UWwoO\nF9mwG8xKIDfc+CFZWVnMmTMHp9N1eSqz2UyvXt6XbZXrjPBGckR4IzkiPJH8EL6SwkUp1MYb/apg\nwxdfoP65lNj8PJoYM9CrTq/H5Nv1HHREkBYURNi4WzD36V3+gf6jOn4B/7HqT2ZvzqJDwAkCipkh\nAZBCCMdzDbxy21UEh4T4dP53l04nJel3t6WjAOy6CO4c+DiNz2NWR3VVHXNEVCzJEeGJ5IfwlRQu\nag6z2fws8CTwlcViucnX42vz88z8RR+RdDwLo+a+UbWGhk09Sv/e19GiWftyj+Wvtx6m/+716PKL\nxKGDrU3jaT55utdzzPt2CpvzD7oVL1oqAYy78WOOHTvGokWL3I7r0qULHTt6fsFLrjPCG8kR4Y3k\niPBE8kP4SgoXpVCbb/Srii0//oB9/k/E5OfR1JCBUVf8X7Kfy+rQcdAWQUpQEMZrrqPDkGHlGmN1\n/gL+dv48licrdDCkoaf4dD+qhXIiT8fLtw3wqYCxKXEfc5a9hl7Ld+tzotCixdXc1LN8f2+qiuqc\nI6JiSI4ITyQ/hK+kcFEzmM3mtsAmwIgULs5Lfn4202e9gOaIQ8V9vzU7BZgCTnDz+GfLPZZV877m\nsuVfYUp3f55JaxhM5r1vE9uwmcdzzP/uWTbn7cdepHjRQjUwfvyn7N69m5UrV7od169fP5o2bVri\neeU6I7yRHBHeSI4ITyQ/hK+kcFEKtf1Gv6qxLFtO5vTPqZ+XRzNdBia93esxdqfKIWsEx01BWHv2\npNsdd/s9rprwBfz+N7PZnR1IO31aMRPqz0jSwsjIgxduG1TqAobNYeOlBe9QkOG+cTeAM6AhDwx5\njMiQ0POOvTqoCTkiypfkiPBE8kP4SgoX1Z/ZbFaBlYAJuAApXJTJqr8XsnnHVgK06GL7C5UTtDW3\npM+l15VrHMePHiD8/fuJTs516yuoq+PP3jfSc9h4j+dYOOc5NuZa3IoXzRSVsWM+Zv369ezcudOl\nT1EUhgwZQv36xc94luuM8EZyRHgjOSI8kfwQvpLCRSnIjX7VlbhlK8fffYPonFyaqhkEG4rfr+Fc\nTk0hsTCMowHBZLZsQa/Jz/gllpr0Bfza5zM5Yg2ire5EiQWMI1o4eQUOXr9/dKnPu3jXOpav+wgd\n7sUmBzq6X3gzQzpcep5RV301KUdE+ZAcEZ5IfghfSeGi+jObzfcC7wL9gKVI4cIvvvj6KQoKo9Bj\ncutzYkdTk7n+6glE1i2+wOEv+58bR8cDSe77XgTCktYXccmE1zwev3DOC2zM241dc/2j3kSFcaM/\nZenSpSQlJbn0qarKiBEjCA11f2FIrjPCG8kR4Y3kiPBE8kP4SgoXpSA3+tVD2r79HHj5eaJycmhK\nJmHGwlIdd6wglERDCOkxMfR69Y3zHr8mfgG/8MkM0hzBtNGdKPEzB7U6OAqsvHz/mFKdMyc/n5fm\nv4iWdxilyNePBhhCWzNpyIMEGN2n8Vd3NTFHhH9JjghPJD+Er6RwUb2ZzeY4YBcwz2KxjDObzRpS\nuPCbfQe2s3j59xicDVGKmRNsI5fw0DzGjnq8XONY8e4krty5Fl2e62+RpsKOpg1o8uRMj8f/MvcV\n1mdtw6a5vm6UoDq5YcRHLFz4M6dPn3bpMxqNjB49GqPR6NIu1xnhjeSI8EZyRHgi+SF8JYWLUpAb\n/eonOy2VbU9PJiozi6bOTCICCkp13MmCIA7rQjlZJ5wLnn+F4PDwUo9Zk7+Ap344g9NKEK3VkyV+\nZr+zLqqtgBfuG1uqc85c+ys7d3+Livum63YlgKGXTqB707bnHXNVVJNzRPiH5IjwRPJD+EoKF9Wb\n2WyeB1wCtLJYLCfKo3Cx9M0lNOwXh86kL1uw1djfG74nKzcAo1b8kqWFynFaNDbTNOHCcovh4Obl\nDPx7NoGn3Pe9ONUwiA1XTiS6QZMSj9+54Qd2WHdSWKR4Ea866N7pYTZt3oLVanXpCwgIoGvXrqhq\nSfOrhRBCCCEqRknPuFK4KAUpXFRvuZmZbJo8iXrpp0mwZxNtcl9LtjhZ1gAOEs6J0GCaPfwE0S2a\ne/x8bfgLpSffn0GBLpCW6qkSP7PXGUmgI49n77nB6/mSM07y3sIX0NvdCyIaEB7dnQeuvB2dTleW\nsKuM2pAjomwkR4Qnkh/CV1K4qL7MZvN1wBzgVovF8vk/bX4vXLyV8CqGUAPxAxJIGNaEwPpBZQm7\n2srNz2Xt+u/AGY+KexHHgQ1Fl0TPzqMJMAWWSwyZmSdo9dMLxCRlu/UV1lGZf+FQmncfVOLxls0L\n2FqwmQKnayEiTmenc5v72bJ1Jw6Ha2EkJCSEiy++2D8/gBBCCCHEeZLCRRlI4aJmWTHpEeokJxFv\nyyXOlFWqY/JsBg46wzkRFETYuFsw9+nt9pna9BdKk96ZgWY00VxNL/Ezu531qKPk8eQd3mdgvLv0\nG1KSlhS7cbddDWX8FQ/TOjahDBFXDbUpR8T5kRwRnkh+CF9J4aJ6MpvNEcBuwAL0sVgs2j/t5VK4\nOEtRFZpe0ZxON19Aw27xKEXX9KwFVq/9mU3bNxGgFb95tVXJJCbKwLXDJpRbDJbnb+LC/Yfd970w\nwVLzBfR4oOSlbVctncGKo7+Q53R96aeBzs6gS55myR9/4XS6znZu3LgxV1xxBSDXGeGd5IjwRnJE\neCL5IXwlhYtSkMJFzbXqpecJ3rmDhoV5NDJmolO9/1ZbHToO2cJJCQxC69efi8eNB2rnF/BDb83C\nGKiniZJR4md2OqKI0eUy6XbPBYztRw8xc+kr6J3uM2I0ILphX+6/4sayhuyV0+GgIDuLnLQUsk6d\nJDczk/y8PAqtVqw2G1aHA5vDgd2pYdM0nBo4UND+idMJaP886J/JJtfv2HMz7OynFEDRzvl3QAV0\naKgK6BUFnaKgVxX0qkqAQU+AMYBAkwlTUBBBIaEEhoURGh1DYEQd1BoyQ6U2qo3fI6L0JD+Er6Rw\nUT2ZzeZPgPFAR4vFsuec9nItXJwrslU9Ot10IebhrTEE1rx9x7yZPnMq2blhGHCfgaKhYVOP0q/X\ncFq1uKBcxl/+/mSu2rEKfW6RfS8U2NckmjoPfk5gSEixx65b8QPLDs8lp0jxor7OzmXtJ/D3+q1u\nx7Rp04aePXvKdUZ4JTkivJEcEZ5IfghfSeGiFKRwUTts+OILlD+XEpOfTxNDBkad+xqzRTmcCkcK\nwzkWGMTJZi1JGD221n0B5+bkMPnzhQSbVBKUzGI/4+RMAaOhPo9Hbyt5E2+Hw8HLi94jN31j8bMv\ndOHccuUjtIiO8zlOp93O6aTDpB89SubpU2Rl55BXUEi+w0GBU8OGglNRzxQWqvMbhtqZ4oeqOdED\nBkUjQFVOMjGdAAAgAElEQVQw6fWEBJoIDQ0lvG4kEbENiWgYj6qvvWtaV0VyIyc8kfwQvpLCRfVj\nNpt7AcuBt4DXinQncWb5qAeAXIvFcppSKul55qOO71KQUfJecKYIE21Hd6DDuE6ENQwr7XA1womT\nR/l+3geozjhU3F8KsVOI0XicG0Y+SYDJ5Pfx1y75ke6/vk/QSbtbX3Z9I1uGP8QFPfoXe+zWtT+z\neO9MshyucdfT2+mScBM79hx2O+aiiy4iNPTMPh9ynRElkXsR4Y3kiPBE8kP4SgoXpSCFi9pn9++L\nyZn5DVF5eTRVMwky2Lweo2lwtDCMJEMwp+Pi6fXiyxUQadWRm5PDpE8XUScI4pXil+ByArv+mYHx\nmIcZGMssm1iy5gN0WN36NBRiG13BvX3dj89LP8mxPbs4mZJCZnYOOVYreU4Nq6LiRKneBYny8E+R\nQ685CUAjUK8SGhBAWFgodaKiqdcogbCYhjKDowLJjZzwRPJD+EoKF9WP2WyeAjxdio/6NPOipOcZ\ne4GNPT/tYeuXmzi5+0SJxyuqQrMrm9Pp5gtp0CWuVi0jtXjpDPYeSiJAiyy2v1BJp3HDugwecLvf\nxz59IgX17TtomOh+b20PVvi1XQ963/Ncscfu3PQHv+78nIwixYs6Ojvt6gzjyHH3F47MZjOxsbFy\nnRElknsR4Y3kiPBE8kP4SgoXpSCFi9otbd9+DrzyHFHZuTQlkzBjYemOKwgmUR/CyYhwOj49ldDo\n4tfKrWlyc3J45NNfiA5y0EBx31wQzhQw9jiiqEsuT95VfAGjwFrISwvewJa9u9jZFyp1uUDXBkeB\ng1wnWBX13yWahB9pGjrNSYCiEazTERZoIrJOBPXiGlG/ZSv0Af5/w7A2kxs54Ynkh/CVFC6qH7PZ\n3BJoWUL3AmAp8CaQZLFY3Nf8KYG35xlN0zi6NpktX2zi4OL9aM6SP16vTdSZZaSGtUJvqj3LSH3+\n1ZMUWqPR437vo+HErh7lit7X06JZe7+PveOFW+ly4ABqkXepNB3saNqQJpNnFHvcwT0bmL/+DU45\nXGfYhukcNDf15WSG+wzzdu3a0b17d7/FLmoWuRcR3kiOCE8kP4SvpHBRClK4EGflZmay+fGHqXc6\ni8bOLOoF5JXquCxrAIe0cE6EBFL/jntp0qVLOUda+TKz0pn0+TIaBFuJIafEz+121iPMmceUu90L\nGNbcHBYsm8+2E3/iVNyXMVA1A3UdzQkq4Q248/bvcksaOjQMioZeUTAoCgZVxaDTYTDoCTAYMAYY\nMRoM6PQG9AYjeqMBg9GI3mhCZ9D/M1tBRVHg2PHjoCjExTVE0zScdjsOmx273YrTZsNht+OwO7DZ\nrNgKC7BardhsNmw2Oza7Hdv/s3fe8XFc173/zsz2XfReiEJUEmBXIyVRhbKaVaxuSbZjJ3GK4zz3\nuMR27NjPL46dOIlj5z0nUdwkUV2WZElWb5RESewkiCVIkGhEL7vA9p25748FJILALnZJgCi8389n\ntcuduzN3yKN7z53fPeeM19eI6AYRIYgKiKJgoGAoyplPcyUEmhDYFIN0s4ns9DQKS0oprG/AkZl1\n5vqxhJCOnCQR0j4kqSKFi6XFXNS4mA5vp4e9v9nN/vv3EfIkSCOVZafxrtWs/tga0orPjjRSra1N\nPPvyVkxGCQrqlONRQpjN3Xz8o7OfPurlX/6Iq3Y+g8VjTDk2XGSj9a7vULf6ginHjre5eeS1v6fv\nJPHCoepUKhsZDVqm/OaGG26goODs2HQlSQ3pi0hmQtqIJBHSPiSpIoWLJJDChSQer33pc+T09rEs\nMkaxbfrogpMJRTWORjPpsdvhhOLeS5UJAaPIGaYogYDRbORgC/u4Kl+hzzuG1wBdUUFREBh41U48\nasdEFetJOI18svTlqMxQr2E8esCMwKYq2DUNh81KepqL9MxsMvLzSMsrwJYxNwWuz8QkHfSM4Onp\nYnRwkDHPCL4xH/5gEH84QlA3CI2LHboyt6mzFGFgFQYuTSXL6SAvP5/i2hVkFMvUU4mQjpwkEdI+\nJKkihYulxZkSLiaIBCK4Hz/I7v/ZyaB7IG47RVOovrqGNZ9cT/G5JWdFGqlHn/wZ3b1+LCJz2uNh\nZYTCPCu33Pi/ZvW6R5r3UPqrr5NzfOrmqUi6wrOrt3DZp7855djQQDdbn/ky3SeJFzbFoEzfQFB3\nTvpeVVVuvfVWMjIyZrX/ksWP9EUkMyFtRJIIaR+SVJHCRRJI4UKSDC9+62/JbTtKSchHmdWLOs0D\n9pPRDYX2UAbHrQ48dTVs/uZ3z0BP5wePd4iv3/MSBY5o3BRSAB1kYCZKIb4px8KMMWhqIaJMPaYJ\nC9nRapwiE6swcGgKaVYrmenp5BQUkFdZRVpB0azeU6ostEk66PUw3NHOYHcXI8PDjPr8+CIRAoYg\ngjo34oYQWIVBhkklLzOd0uVVFDesxmSxzu51FikLzUYkCwtpH5JUkcKFZILTWc8IIeh8q4M9v9xJ\n6/NHEqaRyqnPZfXH11J/00oszqk7+ZcSoWCQ32z9HpFIESam+jECQUQ9zsUXXMXqhtlNvXT4f3+C\nNUfaUU7K9GSYYEdVBSu+8cspvxkbHeHexz9L50k1L8wYLIuuISomixQmk4k77rgDh8Mxq32XLG6k\nLyKZCWkjkkRI+5CkihQukkAKF5JkOHEAfue//wvt9VcoDPipNHuwaFPzx05HdzCNDpOTwZwc1n/v\nBziX0C6nobajtOx8j2P9/ewycnFpUQqmEScm6CQdDWNKlIbAwKO241U7ma74hW7O4zMf/hqlmbmz\nfQunzWKbpA1dZ6Sznb5jrQz19zE85mMsEiU4XlNk1kQNITAJgzQVcpwOiktLKV+zHlvG9LsYlzKL\nzUYkZxZpH5JUkcKFZILZWs942kfY+5vdHNi6j5A3ft03S5qFFbc0sPpja8mumeWUnguMliP7eP6V\nh+Kmj9IJo2pdfPzOr2O3p83adV/5v9/hqn2vYh6b+k/bX+qk91P/SEV1w6Tvw+Egv976Z7QZk4cG\nVQjKoqswmOx7Wa1WPvrRj2KxLG0RSpI80heRzIS0EUkipH1IUkUKF0kghQtJMsQbgA+/uY3B//4F\neT4/y1UPLnM4qfONhGwcVdIZcLmo+ptvkF9TPet9nkvGBvppfut12nr6GBEKhjJ5ISeADtKxYCSs\ngdFBOnrE4ALbGPlZmZRUVVFY38Dvm7azffcv0ZgqChkoVFffyKcuumm2b+u0WGqTtKe7i253M329\n3QyN+RmL6oQUFYNZiNQQAhWBA4Nsq5WSokIqN5yHM2fhCVKzyVKzEcnsIu1DkipSuJBMMNvrmYg/\nTPNjsTRSQy2DCduWbipjzSfWsvxD1aimqQ/2lwpPPP0L2o8PYxXZ0x4PK15yMw3uuPUrs3bNve+9\nSsNDPyCjZ6qIFMpUee6c67ns41+Y9H0kEuHe+z7NkZPX6ALKo6sQTN445XA4uOOOOzCZZkjJKjkr\nkL6IZCakjUgSIe1DkipSuEgCKVxIkiGZAXi0r5c9f/dN8jxeyvVRcm3JFff2R8wcNTLos9ux3nwr\nq6+/cVb6PJtEwyFat7/F4SOH6Q9Fk96RL4hFV5imia44kaMik2Awyvf++HqcLhcAnoCPHz/xj4jA\nsemCL4iacvn01V9mee78poia4GyZpINjo/QcPEBPRzuDXi/ecISAUN6vWXLKjBcDT1MF+Wkuyquq\nKV2zbkmlmTpbbERyakj7kKSKFC4kE8zVekYIQce2dvb+ejetzx9OmEbKVeii8a41NN65Gme+M267\nxUwoGOTeB/43oXA+JqYW5xYIIkoP566/kPPWb5mVawbGxhj4yZ9S39qDclLdbsMCb1XXsOar/znl\nd7/91Z/jFpOLrytCY1l0FeCa9H1aWhq33347qrp0hSdJckhfRDIT0kYkiZD2IUkVKVwkgRQuJMlw\nKgPwa1/5AtndPZSEfZTavEk9040aKsfCGfTYHPhXr2XTl2Zv11aqjA30c+D1VzjaP8AoWmoPpccL\nZWeoUJydRUFZJf/2ZitOu0aFMhL3Z8dEJmMBgx/8yYffFzAe3vEiu/bdizpN9IVAoXDZFj675eMp\n399sc7ZP0tFwiO6mfXS2HqFv2IM3qhNUUrSbkxECizDIMqsU5eawfNUacioXV3TSiZztNiJJjLQP\nSapI4UIywZlYz4we97Lv3r3s37qXwED8zTmqSaX6mhpWf2Ldki3m3dF5hCf/8Es0owQVbcpxnQho\nndz2kc+Tk50/K9d87adf48qm7Zj8U/+pu5elM/aXP6GopGrS9w/+5osc0Adi0bLjqMJMqd4IYrK4\nlJmZyS233CLFi7Mc6YtIZkLaiCQR0j4kqSKFiySQwoUkGU53AN72k3/CsXsnRUE/FRYPJtWY8TdC\nQFconU6zk6H8PDb83ffmvC5Gf4ubfe9up2vUl9pD5/E6BlkmhWUF+VRvOI+MopJpm37x3+7HajOz\nXBmOe7p2kcFIAP7hT67F6XIxODbKT576IQQ7po++UNO5a8sXWVVSmVx/5wA5SU/F0HWG2lppP9hE\n78AAw6EwAdQpqcVSQREGTmGQ67BRXlHJ8nMvwGSbuutxISJtRJIIaR+SVJHChWSCM7me0cM6h585\nxN7f7Ob4u10J2y71Yt7PvXgvh462YxXTp7qM4MdhG+aTH//OrFzv3Zcf59ynf4arLzLlWChT5fkN\n13LpJ7486fsnHvguu4JHiIoPhgtNWCjWV6EI+6S2eXl53HDDDVK8OIuRvohkJqSNSBIh7UOSKlK4\nSAIpXEiSYTYH4P3PPEXgoQfJ9/mp1Dw4zFMXH9MxHLJzTEljIM1J+Re+QvGKlafdF4Dug/vZ8852\nuoMRourUXWPxUIVBlgoVhQXUbbwo5foEX/7X+9FsFqrVobhtjpNGt8/C9z5+IXk5BTy840V27rt3\n2toXAsjI38QXr/pTNC35+5gt5CSdPL7BAdr27qLneBcD/gCj4jTEDCGwCoNcq4nyZcuoOn8TNtfs\nFcecTaSNSBIh7UOSKlK4kEwwX+uZ/qY+9v5mN82PNRENROO2W+rFvH/5m+/gD2ZhxjHt8ZAySEVJ\nDtdd8+nTvlZgbAzvjz/J8mMDKCf9qxtm2Lm8gvpv/HLS98898VPeHXmHoPGBr2USNoqiq1CYnJKz\npKSEa6+99rT7KVmcSF9EMhPSRiSJkPYhSRUpXCSBFC4kyTBXA3Bfy2EO/+gH5I75qDS8ZFkDSf0u\nGDVxNJpBr90Ol2zhnE99KrXrHnKzZ/ubdPpDyYsVQuASOsUZadSvW0dBXUNK14zHV396L8JioyaB\ngNGPg2N+J1/9yCpy8wv5p6f+GcN3eProC8XBDRd/lo3LZ6d/ySIn6dNjtLeb1l076OrpYSgUIXCq\naabG00tlmzXKigqoPm/Tgin6LW1EkghpH5JUkcKFZIL5Xs+EvCEOPnKAvb/ZzfCR+P4cLN1i3v0D\nXTz8u5+jGqWoTC10LTCIqMe5+IKrWd2w8bSv9+Y/f4Eth3ahTbN0GCq2c+S2b7Fi/ab3v3v75a28\n2vEUY8YHfr9J2CmMrkbFPOn3FRUVfOhDHzrtPkoWH9IXkcyEtBFJIqR9SFJFChdJMN+OvmRxcCYG\nYJ/Hw86/+wbZ/UOURccoso0m9TtDKLSH0jlucTJcUsol//CP07Yb6Wpn5ysv0T4WJJKkWKEKgxwN\naioqqLvoEkzWuUvJ8/V/v4+I2UadOhi3zQhWDgUy+bOLihi06Lz23n+jEZ7STgD2rDV8+Zq/xmox\nTz3RHCAn6dnF0HV6m5s42nyAnmEPXl0QOZUC4ONpzDI1hdL8XGrPOZ+M4tK56fQMSBuRJELahyRV\npHAhmWChrGdSLebdcOdqGu5YRVrRwoyUPBVee+sJ9h7Yg0UUoEyzxUYngqJ1cuetXyE9Peu0rrXt\nmQe46MX/wtk/NXo74lJ4bsVGLvnsD97/7qVn72dX/1OM6B8IK2bhpCC6aorYUltbyyWXXHJa/ZMs\nPqQvIpkJaSOSREj7kKSKFC6SYKE4+pKFzXwMwK9//7ukHXJTFApQnmRdDID+oJN2zcVgehqVX/oq\nXc37cB/vxZ/MDnYhMAuDQpuZlatXU7p6PeoZTrv07Z//llHVRb3WT7x9eD7MHAjlcNMKEzu8+wl5\n9k8bfaFj5fLzP80VK86dyy4DcpI+E4R9Yxzd+S4dbW30+wKMnWJUhsnQyTKpVBYXUrPxYhyZp/fg\nIFmkjUgSIe1DkipSuJBMsBDXM6PHvey/L1bM298fv5i3oipUXlHFqrtWU7a5AlVbGlEYDz78Y/pH\nwCKmr08XwYfL4eUTd3/7tK4TGBtj6J/+mNpjfSgnLRWECocq8sn+0j3YXS5aWloY6G7lvfZf0xf9\nQKiwGunk6w0oJxUar6+v5+KLLz6t/kkWF9IXkcyEtBFJIqR9SFJFChdJsBAdfcnCY74H4N2PPkLk\nycfJCwSoVD04k6yL4YtYOGIU0ppbSkdtCVH79IURLYbOMpeNtRduJrti+Wx2/ZT50X/fR3vYSYOp\nH43p/zcNorE/nEdD1gDdkbcxieCUNgIwuWr5yg1fxGmxTz3JLDHfNnI2Yug6xw/sofVgE92eMUZR\nEKnWyhhPLZVnNbG8spLqCy6cs8giaSOSREj7kKSKFC4kEyzk9Ywe1jn8bAt7f71rxmLe6aXpsSiM\n21fhzHeeoR7OHaFgkN9s/R6RSCEmpvctQsoAVWVFXHPlJ0/rWq/8/G+56sCbmMemmoIvz8wbW/6U\n/Or1AORlp7H16S/RdULkhc3IJE9fiXLStqGGhgY2bdqE5OxA+iKSmZA2IkmEtA9JqkjhIgkWsqMv\nWTgspAG4v/0YLT/4PjneUcr0MfJsvqR+FzVU2kK5HEkv4djyZYRzHJQ4rKy9YBN5NXVz3OtT5xf3\nP8iuYRuN5n4sTB91EkFlfySPHPMBhLk5TvSFifWr7uLWDVvmpJ8LyUbOZvoOHeTw3t0cH/bgEUrq\nRb+FwCF0Cp12alaspHTthlmLOpI2IkmEtA9JqkjhQjLBYlnP9Df1sfe3e3A/1kTEH38TjmpSWX5l\nNavuXsOyTWUo6uI29WMdB3n6ufvQjBJUpvoUE/UvLr/oRlbUrT/l6xzc+SZVD32P7ONTC1/oNnil\nupHsj3yOmpoawuEgv9365xw9wbW2G9nk6vVTxItVq1ZxwQUXnHK/JIsH6YtIZkLaiCQR0j4kqSKF\niyRYLI6+ZH5ZyAPwi1/7GzJ7Rij3D1FmG0RVkjPpnqCLDpOLwcxM1v3ghzgzpg9lXyg8/NQTPN+m\n0GAZwE502jY6Cm49E6f6LoqlZ8pxIUBYi/iLa77Esqy8We3fQraRs5nhjmO07HyPrv5BhnWBnmKd\nDEUI0jAoyUxn5fkbyS6vPOW+SBuRJELahyRVpHAhmWCxrWdC3hDNjzex7949DDYPJGybUZHJqjtX\ns+K2Rhw5jjPUw7nh5dcf5oC7GasomPa4ThhF6+KOm79EZmbOKV+n+QefZH3rMdSTtCEBdJVlEP7M\nz8gvitX7+u2v/hy3CMD4th+7kTMuXkweXtasWcN55513yn2SLA6kLyKZCWkjkkRI+5CkihQukmCx\nOfqS+WGhDcBh3xjvPfsULQMjhE8otG0ZDVHW0sHyoS6qTD3YTNM/4D8Zb9jKMZFOv9NB5sc+Rd1l\nl85Rz0+fl7a9yv07Pay0DeOapjD3BG3Cgknbia6NTDkmUCgovZzPXHY3mtxNf1Yx0tWO+53tdAwM\nnlJEhsnQyTVrVFdWUrPpopTSSkkbkSRC2ockVaRwIZlgsa5nhBD07Oxm3317OPSkGz0U32/VLBpV\nV9ew6u41lJxfinIKNa4WCvc/8EOGRk1YRPq0xyP4sFuHuOv2b2C1nVr6yld+/WM+tONprCNTo5VD\nWSrPn3sjl979OQAevver7I90o4+LFQ4jlxy9bop4sX79ejZs2DDpOz0aZXhPE8N73AT6hgmOjBEa\nDRD2R4gEdCIhg2gEDD3WXggQhsL7jxAEqBqoJoGmgWYCzaygmRRMVg1bmh17ThrOomzSKktJX1GN\ns6TwlP5OJDMjfRHJTEgbkSRC2ockVaRwkQSL1dGXnFkWygA83NHOmy8+x/GwkXjXuBDYQkHKDrop\nGh6gUnjJsk4NG5+OiK7SFsmgx2bHW1PD5m9+d5Z6P7vs3LeT/3i5kxq7hyym1raYYJAoUe0gIcXD\nyTmkoqqLmzZ/lvMqVpx2fxaKjUhSo+fgfg7t3U2XZ5QxUiz2LQQuoVOamc7K884np7I6YXNpI5JE\nSPuQpIoULiQTLIX1TNAT5OAjB9h/7x6GDg8lbJtVlc2qu9ew4paV2DLnrn7ZXBIIjPLbrf9ANFqE\nCeu0bULKMIU5Zm696QundI3uriM4/+8XKGr3TkmjaphhR1UlK77+PwA889iP2OHdS0jENnQ4jDxy\n9NpJ4oUwBGm7h7AcGyXk0wiMmQl4LeiR2dkElCwmi47VGcGeFsbm0rGnKTizrKQXZ5FZX0HhJedh\nL8w/o31aKkhfRDIT0kYkiZD2IUkVKVwkwVJw9CVzz3wPwO273mX7ezsYETOkuRGCQpPCeRduoqCu\n4f2vfR4PO777LbL7+ikJ+yi1eZN+PtsbdNFhcjKYnk7t1/+WvLKK07uZWaa9s53vP7yDcmeAfOLX\n+/Djx6e1EVAGJwkYArBmNPKVD/8vbJbpF47JMN82Ijl9jGiUtp3vctjdTK8/SEBJTcjQDJ1cs0pV\neTl1F16C6aRdktJGJImQ9iFJFSlcSCZYSusZIQTH3+lk3717OfzMIfSwHretZjVRe10tjXetoWhD\n8aKMwmhtbeLZl+9PUP9CEFZ6WVXfwCUX3XxK13j3R59h8+EmtGn2+YwUWtlz/efZcNE1bHv212zr\ne45RI9YPp1FAjj55ThIRQehBH8bR+P8u844icGaGcGaFcGUYpOdbyaoqpGjzBrLPXYNmMs18jrMU\n6YtIZkLaiCQR0j4kqSKFiyRYSo6+ZO6YjwHY0HUOvPAsu4+1E1QTO9hWQ6cuP4d1V12LxeGc8dxv\n/etPsO7cQWHQT4XZg0VLbvHhi5g5ZmTQb7ejXHU1Gz56d1K/OxN4vEN8/Z6XyHPolCreuO0iBPBq\nnfiUPjihHoiOiXNWf4yb1192SteXk/TSI+z3cfjtbbS2tdEf1omqKewoFAInOqUZaTRecCHZ5ZXS\nRiQJkfYhSRUpXEgmWKrrmcCQn6aHDrD//r2MHB1O2DanPpdVd66m7qaV2DJOLb3SfBKrf3EQiyiY\nkqIJwEBHV7u4fPPN1NesS/n8bz59Hxe+dA/O/qnpuPyYebJ7DceO5qFkhYj+RQv9aizywqUXkm1M\njigVEUHoIT9Ga3IpaRcSFkeEjPwA6Tk62cvSKNrYQOmNWzDbF3f9lNlC+iKSmZA2IkmEtA9Jqkjh\nIgmWqqMvmV3O5ABsRKO8+9RjNPUOJn5QKgS5quCcczawbO05p3y9w29uY+C/f0GeL0CF4iXDEj/t\n0onohkJHOJ1ui4PhwkI2fPM7C6LAt29sjG/81+9xOlQqlan1LSbQCTOqdjOmdmMosYXXRPHuv7z2\ny5Rm5qZ0XTlJL32GO47R9PZbdAyPMJpKWikhMAuDbE1QVFLKhiuvRZ2l2iqSpYMcQySpIoULyQRL\nfT0jDEHnWx3su3c3R/5wGCM6tW7DBJrVRM21tTTeuYri8xZfLYyHHv1neoeiWEXWtMdPp4D3jhde\nIuvx/6Zh9Dgak01GCNjeuZxXWusQNgPL5w7SaY/93bn0IrKNqsnto4LQgzHxwmSN4sgIY7ZFMVsM\nTBaB2QJmm4LZqmG2m1BNKoqqoKoqiqqiaCqqFjt/NBglGooQDevoESP2igqiYUE4qBAJqYSDGuGA\nidCYGUNPrT7ZTGhmPSZm5EXIq0ij/EPnUXj15rMyMkP6IpKZkDYyvwghiAYihH2RWF0oEfsudmzi\nP6CoCia7GbPdjMluQtVmd9yMh7QPSapI4SIJlrqjL5kdzsQAHA0F2f7EYzQPexMWDFaEQbndwsZr\nrsOVmzerffB5POz8u2+QNTBESdhHic2LmuQwMhSy06akMehyUPxXX6Bs7ZpZ7dup8Dc/vQ/DYqNO\nHYzbxkDHp/biVbvQlRAQK95duGwLf3npXUkX75aT9NlFNBziyPY3OXzkCP2hKBFlhjRuJ6AIg2wV\nqpeVUH/xZUlFSUmWPnIMkaSKFC4kE5xN6xlfn4+mh/az/749eDvjR9gCZFZm0fDRVay4pQFn3uKZ\na0PBIPc9+AMCoWzMTN/vCD7stmHuuu3rCQt4977yJgfve5GeI2EG2lzoEY18p5cbV+wi3zU6tf1Y\nGk8cXEdvwEXGXzbTmh+Lyk7Ti8kylk9qK4SgYVkFF3zo8jP2kF+PRhlrbWN4dzPDzW14jw/hHw7i\n9wqCPo2A14JvxAri9IZHW1qYzEI/2YUqhWvLqP7EjdjzZ3fdtRCRvohkJqSNzC5BTxBvhwd/vw//\ngB//gA9/v//9z8HhIGF/mIgvQsQfJuKPwCnM+JpVw2QzY7absLgs2HMc2LPtH7xnO7DnOHAVOEkr\nzcBV4EI1pS52SPuQpIoULpLgbHL0JafOXA7AYb+Pt554jMNeX0LBwmzorMjPYcO112OynpkQ+Lf/\n42eYt79FfiBApcmDzZRcSHgoqnEsmkmvzUZg7Xou/MKX5rinifn+L35Lr5HGSq0fU5yZXiDwK/14\ntS4iSqxWRirFu+UkfXYz0tVO09tv0jE4gpfkRYyJAt/LsjNZdeHFZBSXzm1HJQsWOYZIUkUKF5IJ\nzsb1jDAEba8dY/99e2h94QhCj/9XoJpUKrdU0fDRVZRfUnHGdp6eLiMjgzzw6D8h9BI0LNO2ma6A\nd9ujz9L0wDZ6j5nw9EwvfGiqziUVbi5Y1jrFZdGFwi5RxvGseo7XH+WQI4hAmTbyAmDt2rWce+65\np73U4hEAACAASURBVH6js0ygr5/uZ9+gb+8RPF0exoYFYyMmxgbtRMOnFvGqmnSyS3zkFAtK1pdR\n88e3YMvNnuWezz/SF5HMhLSR1BBC4OvzMXhoAG+7B0/7CJ52z/ufQ97QfHdxWhRNwVWURnppOukl\n6aSVZpBVkUV2TQ5Z1dmY7eZpfyftQ5IqUrhIgrPR0ZekzlwMwGG/jzcef4TWsSAi3kPO8Tz562tr\nqb90y6xd+1Q4frCJYz/5MTmjPsqMUfJs/uR/G0yj0+RkMDuL9d//h3lLKfU/Dz3C230WGi392Ihf\n1yOgDDOqdhFURhAKmNNW8KVrP4fLbo/7GzlJSyYwolFat2/DfegQfanUxhACizAotFtoXLeeklVr\n57ajkgWFHEMkqSKFC8kEZ/t6ZqxnlKYH93PggX0zRmG4itJYeXsjDbc1kr5s/lOcJkNzyy5eeu3R\nuAW8AYL+XvL3BwgdMDPc5Ur63MvLe7mxYjcOJTL1nNkaL5xzA17zKHsCbsJCnbbmBcCaNWs477zz\nkr+peSAS8NP1+1fofms/Q21evIMKnj47obHpRaFEaOYPhIyyTdVU/+ltS6JOhvRFJDMhbSQ+YV+Y\noUODDDT3M9Dcz2DzAAPN/QRHkkvFvWhQIL0kneyanPdfeSvzyanNpbWtFZD2IUkeKVwkwdnu6EuS\nYzYn6Gg4xFuPP4J7ZBQRL8JCCNIx2HjuBsrWLZwdTCfy6tf+hsyuTopCfsqsXkxq/HzDJzIatnJM\npDPgsGO96RZWX3/jHPd0Ki9te5X7d3qos42QQfxdDmHG8Gpd+JUBDEWlpuZGPnnh9P1dik6cEAJE\nFIwwQg+BEQIjSiyZpgEY4zk1jfECIcYHnxEg9PHPBijalJcy8Vk1Tf1OMYGqgWJedPmpT2bgyCH2\nvfM2nZ4xgqop6WgMzTDIt6isXLGCinM3yroYS5ylOIZI5hYpXEgmkOuZGMIQdLzZzoGteznyh8Po\n4fibVFCg7OIKGj+6iuUfqkazLPw59uQC3iIq0A9FiO6LYByJQhKuuCMjRF6Fn9JVeVTf9WEyG2rY\n8cpTrHnmp2T2TPWJDTPsrVxG19rL2D70EqO6Fle8WL16Neeff/5s3OoZQ49GGXxrJ+3PvElfywDD\nvSoj3c6UIzMsjgi5y3wUVNupv+Ny8i/ZOEc9nlukLyKZCWkjMYQhGDo8SM+ubnp2ddO98ziDhwZO\nKY1TqmhWExanGc1qQlEBRUFh/F2JvRtRnWgwSsQfIRpILmvGaffLouGqTCOjNpPai+vIX11ITk3O\nKaWckpw9SOEiCaSjL0mG2ZigDV3nvScfZV/fUPyUUEKQqRhcuHEjxY3zXyMiWXY/+giRp35Hrj9A\nheIhzRJO6ndRQ6UjlE631cFIYcEZL/B9pO0IP3x8H8scAQoZi99PgoyqxxlTe4mYXNx2yV+zvmyy\nLSwUJ04YEYiOISJjiOgYIuqDyCgi6kNExyA6ioj4ELof9BDCCIER/uCzHp70XVKr4DlFBc2GollB\ntYFmRdFsk76b8meTA0xOFJMr9jK7YPwzmm3ehJCWlhaiY6P4Oo/R2tOHR6RWFyNHhbqq5dReuBmT\nxTrHvZWcaRbKGCJZPEjhQjKBXM9MJTDk5+CjTRzYuo+hlvi1zgDs2XZW3NJAwx2ryK5JreD1fPDA\nz79H7xs2xE4VAon/6RVFkF06Rn65IPvcctKu2kTdiulToB78wSfZcPQY6jRuvLfAwovnXsfB0Hb6\noyacRgHZejXjj8vep6GhgU2bNp3yvS0EImM+jj3wFJ1vuRnqCjHcbcc3nFqa3owCH7mlEcovKKf+\nM3dhdi2OGivSF5HMxNlqI9FQlJ5d3XS+1U73zm56dncTnoU0T5rVRHppOs4CF45cB848J448B45c\nJ47cWN0Ji8uC2WnB7DBjdphTTncohEAPRYkEYkJGyBMkMBQgMOiPvQ/F3v0Dfsa6R/F2eggMBk77\n3ibur3BdISXnlVJ8XilF64uxOFOPcpMsXaRwkQTS0Zckw+lM0Iaus/e537Or/Xj8lDFCkKMKLtp8\nKfm1dafT1XlntK+XPd/9NtkjHkqjPoptUwv/xWN4vMD3gMNO1sc+Rd1ll85dR0/A4x3im//zAml2\nhUplJG47gyijajdepRtTZg1fvOav308fNVdOnDB0RGQEER5ChIZj7+Hh2Cs0/jk6BuNCBcbCzJO5\nYFC090UMxTwuZkx8NqejmDNRLCe8zJlgTkNJUH8mWU62ESMapeWt1znUcpj+iIGuJnmNcYGzprSY\nlZdskcW9lwhn60JQcupI4UIygVzPxEcIQc/ObvZv3cuhJ5tn3HladE4JjR9dRc2HazE7FtbDlYM/\n/RUHnmrheEs6Qk/sM6jlGmqjirail1vu/CvyckuSmmdefej/ctnbD+MYmPr3pNvgtepadhf6adc1\nnEY+2XrNJPFCCEFdXR2XXHLJKd7lwqTr2VdofXIbfa1+ho7b8Y8kL2RYHBHyy8coachgxZ/fQkbt\n1DohCwXpi0hm4myxEUM36G/qo2NbOx3b2jn+TifR4KlFLphsJrJrc8iuyiG9LIPM8kzSyzLIKMvE\nmedEUReeOxfxhxntGsXb5cXbGavJMXRkiKGWQTztI6ccWaJoCvmNBZScV0rJ+aWUnL8Ma7rckHc2\nI4WLJJCOviQZTnWCbn37Dd7Ys59QAsEiWzG49IoryKmcGnK9FNj2ox/i2L+XgmCACrMHi5YgbP8E\nIrpKeySDHqsdT1k5m7//f+a4pzG+/u/3ETTbqVcHiLckFBj4lD6GxQA1DVfw8U3Xn5KNiGgAEezF\nCPYgAr2I8OAkccIIDUHEwxmJOZXER1FRzBkolkwwZ6FYMsaFjayY0GHNRrXmolhzY5EecaIoZrKR\nnoP7ObDzPbrGgoSUJKMxhMCFzvL8XFZtvgxHdu4p36ZkfjlbFoKS2UMKF5IJ5HomOUKjIQ492cyB\nrfvo3dOTsK0lzULdjStYeXsjBasL5y1aMzTiZed3/4PD2wMMzVC7QslVMa0yozVaUDM+8GKjBDCb\ne7lgwx1YbfYZ55lRzyDef/lLatv6UKZx2/tL7DxcV8QhER2PvKiZEnlRWVnJFVdckfyNLiL0aJSe\nZ1/jyO/fpK81SH+7k7B/+kK1J6NqBjllYxQu12j4xIcouHRhRadIX0QyE0vZRgJDfo69fJTWF47Q\nsa2dkCf12hSZlVnk1ueSU59Hbl3sPaMsI+UoiYVMNBhhuHWYoZZBhlpiNT369vUy1hM/g0U8FE2h\naH0xZRdXUH5JBfmrCpbU35VkZqRwkQTS0ZckQ6oT9EBrCy+9+GL8VDBCkKHobL7oYgpXNM5mVxc0\nR995h95f/Jxcn58yMUq2NfkQxIGgg3YtjSGnnYJPf4bKOS4A+G+/up9mn5NGcz/mBOmSAsoQvdEQ\n59ZtpKG0YpKNCD00Lkz0IgI9kz4bwb5xUWKBo6ixFE2qBUWzgGKOfacogDq+kFcZT7A5fuyEz4y3\nFUasXsb77zrC0MfrYETH33XE+DtG9IPvFxOaDcWag2LNGxczclDGRY3OPj+6lsnyunUzRnB4jney\n9/VXaR/x4le0pEUMBzrLc7JZfekWnDlSxFhMLOWFoGRukMKFZAK5nkmd/qY+Djywj+ZHmwjNkO4j\npzaHlbc1UnfTSpx5ZybKMTTiZfvX/41Db5EwTZHFHqG0foziLZW8Y29FEaVoTP8QPcwodusIf/yJ\nv0+qDy//4ntctf9lLJ6pfrDuUHhiXQlvWRXMegE5eu0U8aK0tJRrrrkmqWstZiIBP4fveYS2Nw7R\n364y3OVCiOSG5+zSUYqqYcWdl1Fy9aVz29EkkL6IZCaWmo0MHxmi9fnDtL7YSvd7XQgj+enUmmGj\ncF0RReuLKFxXTOGaQqwZqaWVW0r4esfY9dwuvIdGiHZF6N3bi7/fl9I5bJk2ll1UTvklFVRevhxH\nrswssNRZksJFXV1dHvBt4CagABgB3gC+53a7d6Z6PunoS5Ih2QnaPzLMy48/wvGwEfdBo8uIcuF5\n5yzYottnkle/9hWyurooTLHAd1jXOBbJoM9mx1tTzeZvfnfO+vjY73/PM0cNVloHcRKJ3yf86JqH\nj9QGybP5EcFeRHh4zvoVF0UdT4XknJwGyXRSWiTNAdqEIGEF1RoTJlTr+J/HP6umM38PJyCMKOjB\n8fobQYQejKXDmvish8a/O/HPfkRkLFbrY/z1QSqt5OqvzCmKCcWajWIrQLUVoNgLxz8XotgLYmKH\n8kGUln9ogH2vvczRvgFGSUHEEDqVOZmsvvQKXLl5c3hDktlgqS0EJXOPFC4kE8j1zKkTDUY4/EwL\nB7buo/PtjoRtVZNKxWWVrLytkYrLl6OZZ7+gdyTg552v/hvNb0QYG7THbZeW56dqPZzzrT/Buazk\n/e/3N7/La9ueQDNKUJm+f2FlmLwsE7ff8sUZ+9N+tIWMe75McYcHZRorO7DSxQNFmUSjeeTq9Sgn\nxSsXFBRw3XXXoSabDnMJMHKgheZ7HqOryUPfMVfS0RhZxWMUVhnU33IRZTddOce9nB7pi0hmYrHb\niBCC/gN9HHqymSPPHWakNfn1uqvQxbILyyjdWEbRhmIyK7PmLRpvoXKifQghGO300vVO5/uvVP6+\nUaD4nBKqrqxm+ZXVZFZkzVGvJfPJkhMu6urq8oEdQA7wH8AeoBb4X4AJuNDtdu9K5ZzS0Zckw0wT\ntBGN8uajD9I8MoaIM3lZDZ1Nqxuo3njxnPVzMbP3yd8RfPwRcnxBKhQvGZbkQzN7gy46NSeDLicV\nX/gyxStWznr/du95k0feOkSBKYI1waghCFOWdpRzsluwm2ap3oQ5HcWSjWLJQrXG3mOvic/pJxSf\ntksHKgFCD48XKR8XNU4UOMKe8XoiI+N1RGJ/JpraTpHTRtFQrPko9nFhw1aAOi5uREU6B9/eSUtn\nNyPJFvceFzHKszNZe+nluPIK5v4eJCmz2BeCkjOPFC4kE8j1zOwwfHSYpgf30fTQfvz9/oRt7Tl2\n6j+ykpW3N5Jbf/qbA/RQmHe/8S8cfC2It88Rt11BlYe6SwpY/bU/Q7PGr8Hx2ltPsK9pF2ajaEok\nxAQhpZ+yohxu+PCfz9i/N3/yBS4/vBvT2FRTG87V+K+1BQxF8sjVV0wRTLKzsrjp5pvPKvFigsiY\nj+b/9wBt21rpa7MyOhBfjDqRzKIxSmoFjX90JYVbLpzjXn6A9EUkM7FYbWSoZRD3k80cerI56Yfn\n1nQrpRvLWHZh7JVVlS3X2TMwk334+n0cf7eLru0ddLzRxtDhoaTPnVObw/Ira6i6upr8xgL5b7FE\nWIrCxS+ATwO3uN3uR0/4/kbgceAht9t9eyrnlI6+JBkSDcCH33yN1/c1xS28rRkG68uKWHvNDXPa\nx6WEz+Nhx3e+RVZ/P8VhP6VWL5qa3P+qwaiJY9FYNEZw9Ro2fekrKV1bGGEMXwfG2BGMsaMYY20I\nXxsiPAiAIaDTV8Ke4VpGw9kJzmRQ6uxgVVYLWdY4KaGmPKDOi4kR74sT2bFaCmpyO7Ukc4PQw4iI\n5wNBIzISEzXCE0XTBxGhAURo8MwUR9fsqPZisBUyPBCloz9Cd8iFN5JOyLBAnAcUsZsR2IVORVYG\nay65jLSCornvryQpFutCUDJ/SOFCMoFcz8wuekTn2EutND20n6MvtSL0xH+9+asKYqmkbqzHlpnc\ng+kT2fHtn7LvD0N4eqZPiaGaDJY1eFj7sU1U3P7hlM791DP/ybGufqxienFFIAgrvdRWLufKLXcn\nPJd779uUPvh98jvGpngaURXuvySPA0YhefpKVCZH7DrtFm7/6N2YTPMbyTvfHHv4aVp+t52eI8qM\nNUsmyCnzUlpvovEvPkLuhtVz2j/pi0hmYjHZiLfDg/uJmFgxcLA/qd/krshj+RVVVG6pIn+1rLeQ\nKqnax+hxL22vHqP99WO0v5F8XZGM8kxqr6+n7sZ6cmpleuTFzFIULr5DLMLibrfbLU743goEgENu\nt7s+lXNKR1+SDNMNwN7ebp5/4ncMJahjUe2ycfEtt2Oynr25DmeDHVvvxfjDs+QGglQoHtIsyaf7\n6Q6m0WlyMpSeRu3X/5a8sor3j4nIKMbokXGRojX28rUnXVehL5DN9sE6vKH4u9kAbJZR0sxDXL6u\nHHtmRdyUQJLFjRAiFr0R6scIDSKCA+OCRuwVHD2OFh1BFcnXdkmViG7GG3ExetLLG0kjYpwkgI2L\nGOVZGay7bIuMxJhnFtNCULIwkMKFZAK5npk7fP0+3I810fTQfgYPDSZsq1k0ll9ZzcrbGim7uHzG\nB14dT7zAtn99ld7DGdMeVzSDspUezv/8NRRdcdEp3wPA1gf/kUGvgkVkTntcYBBRe1i1Yg2bN30k\n4bkSRV+8siGdZ12l5OmrpogXZjXMXR//NBZL/EiRs4meF7fR9NvnOX7YYLAjDWaoi6GoBnkVo1Ss\nTWPtVz+JvTB/1vskfRHJTCx0G4kGIxx+9jBND+6jY1v7jO1Vs0rpBctiYsUVVaSXTj8eS5LjdOzD\n0A169/TQ9upRWp8/Qv+BvqR+l1OXS+319dTeUE9m+fRznGThsuSEi3jU1dXlAv3Au263O6WKvdLR\nlyTDiQOwEY2y7ZEHaPb44goWBSa4/Pob5YPAOcDn8bDzm18je3iE4oiPEqsXNYmhzjCBL9PMQLad\naCFYizSsttl4gKxyzJfDawPVqNH8KYu0E+nHwdGAiz+7qJhz18saJ2cbE+NI9fJliGDfeKH2XkSw\n54wUbfdHbXjC6XjDaXgi4+/hdEKG9f3C3lW5OazdciW2DOn0nWkW+kJQsvCQwoVkArmemXuEEPTu\n7aHpwf0ceqJ5xoLerkIX9bc0sPK2RrIqJ+fl9nX18NoX/53D76VjRKeKG4oiKF05wvmf2ULJdZfP\n2j007TvA2zvvJxDOwcL0u/0NdKJqN+eu28x567fEPdeh/Tso2fp300ZfuCts3FtZTnpkNRqTRQqF\nUe66+y9wOOKnwzob6d/2Hgd++TRd7igD7TOLGGZ7hOKaMWqvqKXur+5Gm6VIFumLSGZiIdqIEIK+\n/b0c2LoP9xPNhGcYn1WzSsWlldRcV0/lluVY06xnqKdLn9m0D2+Hh9YXjnDkDy10vdM5Y/QjQMHa\nQlbe2kjtDfXYzuJC6YuJs0m4+CbwPeDzbrf7X1P5bTxHf+J/OInkREYONXGg8ziROAWL7XqEhpoa\nXCfs6pfMLe1PP0Xmrh3kBoNUqB6c5ggC0DMVwnkqkTyFSJ6KnqEkVw8gDgKNqCmfqLmIiLmIqLmQ\nqLmAqCkXlNhO9sfe+QNB/xC5ZGImfqoAP2aawjmsdo5w5YUXnHKfJEsTxQiiRYfQ9CFM0UG06CCa\nPogpOoQW7UcVs5uOKqhb8IbT8YTT8EbS8ITSiIQcZDtzKVy1Hk1GjEkk80q8xZ8ULiQTSOHizBIN\nRjny3GGaHtpP++vHYIa//aJzSlh5WyNVV1ex53//nH3PB/EPTzO3KoKS+hHO+dMLqbj12lnv98T6\ntrS0kPse/CGhcB5mphcQDKLo6nE2X3gDjfXxN9vEi74YzNT4r3WVqJG1mDj5oaCXG264i4JE6Sqj\nEZQxL/jHUPxjKL7Y+/t/DgUgEo61i0RAj0AkghKNgDBAiUXEi/F3FAVUFUxmhMUKVhuYrQirFSw2\nhMWKcDjBmY5wpo2/0sFmP631w6nQ9/o77LvnabrcMJxEOqm03ACl9RHWfPpqCi7ddFrXXogPpSUL\ni4VkI6HREM2PHGD/1n0zpoJSNIVlF5ZTe30dVVfVyIfac8Rc2UdwJMDRl1o5/EwLba8cRQ8nzpCh\nWTWWfyj5CEjJ/HFWCBd1dXXXAL8D9gKb3G538jlkkMKFJDkivlEOvvM2Q5imdV4VYVCb4aJofUoB\nP5JZQjECWEJHEUMHsHRvx5UVQj2NKPRQwIzIqiNiKSFiLomJFKZ8SCKtU0iP8sCOx7AEh8kUBdhE\n/HBTHYVmPRdbeJQ/uUYKGJIkEALVGMUU7UOL9GOKTrz6xkWNyKxdKmKYGAml4w+7ULVCrGXnoduX\nIVS5S1IiOZNI4UIyE1K4mD9Gj3s5+EgslZSnbSRxY0XE3Umfs2yU8z+1kpo/uWMOehnj5AdKXu8w\nDzzyI6LRQkxxNtzoRBBqF9dc+TEqlq2Yts2h/Tso3vodCjpGJ0VfhMwKv9lYypBxzhSBRCg+Nudn\nssqRgTIyOOmljgygjM5N9GmqCE1DONMR6VmIjGxEZg4ic/w9IxsjMxeRk4/IygVt9ut3dDzxAk1b\nX+V4izlh0XYAFEF+hZfyNS7W/M0f4SwpTPl6C+mhtGRhshBsZOjwIHt+tYuDjxwg4ku89ilcV0T9\nTSup+XAtjtzp6whJZo8zYR8hb4gjz7Vw6Ilm2t9omzESw1ngov7mlTTc1khWVaIapZL5YMkLF3V1\ndZ8A/gs4Blzidru7Uz2HdPQlM7H/uad5+1hHbMfOyQhBiUXl8lvvwOZKO/OdO0sR4RH0kf3ongMY\nI/swRlsBI/UTGQLTiMA0JDANGZiHBKZhAzUMA0EHHaqLQaedrLs/Rd1llyY81cmT9LHBXv7zuX/F\nGhgh3SjBIXJRiK/0t4kMBv0a37rjAoqLSlK/F8mCZ64dOSGMWKHwwHEMfxci0IXh7xr/fDzp2i0z\nESUNS1YtWloVqqsC1VWJ4iiVReRPk4WwEJQsLqRwIZlArmfmHyEEx9/tounB/bT83k3En9xGAqsz\nzKorVC745y/PWrqfeMSbZ/oHunj0iZ9h6MXTREfE0AmjaF1cf+1fUFxYNm2b6aIvDOC59XnscWzE\nwuS1kkGQC3pf48KW5IrmLmSEqiKy8xG5BRi5hYicQoy8QoyCUozCZZCWcdqRGy33PETzk7vpOuQk\nNJZ4h5bZFqWoZpTaLdXU//XHk7Yt6YtIZmK+bMTQDY6+2MqeX+2i4422hG3tOXZW3NzAytsbZeHm\nM8yZtg//oJ/Dzxzi0JPNdG3vnDECsnTjMlbdvYaqq2rQLLLW6EJgSQsXdXV13wL+HngP+LDb7U6u\ncstJSEdfEo/R3m6efeJ3jDD9gOYwoly++WKKVjSe4Z6dfYjwCPrwXvTh3egj+xH+mQttTTkHCiGv\nRrRXwd5nkDvixzwsUJJ4lhvRVdrDGfRY7YwUFnHON7+NM2NyJEW8SfqFg+/y4jv3YDWiuIwiXEYh\nGvEf8A5joyWYyXXVGjdeM/tpAiTzx3wuBoURjQkavvbYy9+BGH/HSClQcXoUDcWxDNVVOf5ajpZW\njWKRtTKSRT4skKSKFC4kE8j1zMIi7AvT8ns3u//fNgYOj83YPn91AStubqD2hnocOXMX1TjTPNPR\neYTf/+EeMEri+qpRgqhaNzff8Ffk5Y5vtIlGUbuOonYcoXffO9g63yG/c3Lti33LXTxTcgnmk4qD\n64Qpj2zntu2p+/aLCeFwjYsYMSFDFC3DKKmIiRqm1DZ+hEa87PvHe2h9d4DeI+kYeuIUKK6cAMtW\nhFn32Y+Qt3FDwrbSF5HMxJm2kdBoiAP372X3r3Yx2umN205RFcovraThjlVUXr5cPpSeJ+ZzDPF2\nemh+tImmhw/MGAFpz3XQcHsjjXeuJqNMrlfnkyUrXNTV1f0L8DngCeBOt9vtP9VzSUdfMh3v/u4R\n9vQOIuKkhVpXnM+G626ah56dHYioLxZRMbwbY3g3xtjR1E9iSkPLWIGaXj/+Xoti+iA89O1f/Afm\nN7eREwxSoXpxmZN/eDscstNOGoNOG7aP3MLq629MOEnrus5/vvYgHW3PoQlwGvmkGcVx8woDRFA5\nqOeSaYzxvc/cncKNSxYqC3ExKIQeKxQ+IWiMteHv2Y9qDGDWoqd9fsWai+qqQk2rQk2rRnVVodjy\nUc5wvujFwEK0D8nCRgoXkgnkemZhoUejvPFX/4f9L5uJhpKPolBNKhWXVVJ/cwOVW5Zjss5uBEay\n80xzyy5eeu0RNKMElen7oBMk13+UW0ZDuNqOoISDk44fqCiibqBnUvRFf6aZ36y6DEXkTWprEMVm\n3sMfv96Mfdz1EIqCSMsEpwvh+ODFxGerHcyWWM0Ksxk0M5jNCJM5Vt8CAcJAMWLvCMDQYzUxwiEI\nB1FCIYiEIBRECQXHa2mMgm8UxeeN1dU46b5mG6FpGAXLMEorY6+SCozS5Yj84lhNjhkY2rWf3T99\nhI4mwUh34noYimZQVO2lZnMJq77yJ2jWqVEb0heRzMSZspGx3jF237ODfffuITwaf53uyHOy6u7V\nNN65GlehzIAx3yyEMSSlCEgFyjdXsPoT66i8fDmKKl3rM82SFC5OiLT4H+DTbrf7tHJfSEdfciLD\nHcd45pln8CnTOOlCkKMaXHXTrThzZMjhbCKEjuFtQR/agT74HsaoO7bISAHFWYaW0YCasRItYwWK\nvSTph6Ojfb3s/v53yRoapijip9TiRVOTGxp0Q6EjlEG3xc5QVhbnfP//TInGmMAT8PGvz/w7YW8T\nigCbyCLNKMYushJeo01kMBDQ+MpH1lJVXpVUvyQLj4XgyCWLEIKot5Ojbz+O13sUu2WUDIuHDMso\nqnKa06YpDTWtajzVVDVqWhWKowQliRoyS5nFZB+ShYEULhYvdXV1q4C/AS4CigEv8CbwA7fbvT3V\n88n1zMKh79W3ePE7T9PXOtUXNFl0MvIVRgbM6MHES1hrho3a6+tYcXMDheuLZkXwT3We2bXndd56\n73k0oxg1TgS6IQJU9zdzzeGDWIzJZuixWQjmWsjvGmPCdQhpCvds3EyQ0kltBQZhczOXFa6h8fzr\nEOmZc1IzImUiYZRRD4pnCMUziDIyhOIZQp2oyTE8gDLYi+odntXLCpsDo6wavbwGo7wao7wWo7gc\nEqR8av31YzQ9/h5dh5wERxOnknLlBChriLDu87eSu2H1+99LX0QyE3NtI0Mtg+z4xbs0P9aETH1j\nNwAAIABJREFUEYn/PKDonBLW/NE6qq+WKX8WEgttDAn7whx+5hAHtu7j+LtdCdtmlGey5pPrWHlb\nI9a06dMmSmafJSdc1NXVXQa8CDwO3Op2u08hqf1kpKMvmeC9Jx9lV/fAtPlHVcNgRV42m26+bR56\ntjQxQoPjQsUO9KGdEB1N4ddqbAd3ZiNa5iq0jAYUS/wi2KmyY+u9GM/9gRx/gHJllAxL8rutvGEr\nbSKdQbuN6MZNXPBnfzmlzb6uo9z38r9jig4AYBYO0vRiHCIv7sIQwIsVdyiLzSVRPnaTjPhZbCw0\nRy4VgmOj7HvxOY709KBa/WRZvWRYPGRZPGRYvThNgdO7gGodj8qoQUuvRU2rHRczZt5tuFRYzPYh\nmR+kcLE4qaur2wi8AIwAPwM6gBXAZwEbcKnb7X4zlXPK9czC4O0v/5hdT0UIB6am/slf7uHyv7uG\ngks3EfaFOfJsCwcfOUDHm+0z5uTOqMhkxc0N1N+04rRSWiQ9z0TCaIcPoO17F23/ewz0dfJk/Vq8\nzvK49doMEaCm7yBXH2l+X8AQFitGSSU7LFHW9rRi8cSW7gLYet759Fiqp5xnVGul0m7mpjv//pTv\nc14IBWMCxkBP7L2/B6XvOGpvB2pP16xEbgizGaO0Cn15PUbVSvTl9YiC0imRGaERL/v+6R6Obh+g\n50g6RjS+L6WaDIpqPNRdXsHKL36K1qOxKHfpi0jiMVf+aveO47z78+0cfeFI3Daa1UT9R1aw+hNr\nyW8smNXrS2aHhbyeGXD3s//evRx89EDCKB6Ly8LK2xpZ88l1ZFYk3mAqOX2WonCxA1hHzLGPV9Pi\n6VRSR0lHXzLW38vTjz+KZ7pQaCEoMilUnXs+Jpt9QQ7AiwUhDAzvIfTB7egD2zHGWlP4tRLboZ21\nFjVrbSyi4oS0T3OJz+Nhx99/m8y+fgpDfsqsXkxqcpqpENAdSqPL5GQ4zUnF575E8YqV7x9/dOfL\nvLf3PjRiE6cqTDiNAtKMIkzY4p43ikKznost4uPbn7oRpytxaLhkYbCQHblU8A8NsPvlFzg6MIxf\n0UBRMKthMseFjEyrh2zrCBkWL5pyGvsLNMe4kFGDOiFm2AqWbJqppWIfkjOHFC4WJ3V1dXuAGmCl\n2+0+dsL3HwEeA55wu903pnJOuZ6ZX0IjXp771A9p3Tn1AYfJGqXxsggX/ezr0xZIHu0exf14Ewcf\nPsDQ4aEZr1Vyfin1N62k5sN1WNNT2xGacJ7xjmDa+QamnW+gHdw97YP2LqeLp+vWMOooiytg6ARI\nj7Rz/RV/RFr1SlBjG3L6ujsxfvF5qtoG3q8v9/yKRvbnrJnaFbWLLK2NO2//d+yOM+PvzylCoAwP\noPZ2ovR0oHZ3oB5vi9UFGTq9wuTC4UKvrMdYXo9e3YBe0wjOD9LlDO1tYtdPHqRtn8pof+L6KWl5\nfkpWhCm5+zIar95yWv2SLF1m21/tereT7f/yVsKC2/ZsO2s+uY7VH1+LPXvu6gBJTp/FsJ6J+MO4\nn3Cz/7499O7pid9QgcrLl7PuT8+hdOOyJbsGnW+WonCRzMUqT1wEzIR09M9u9j//DG8fbUdMs6vX\nZOhcum4NledtXBQD8EJERAPowzvRB7YTHXgHIomLJJ2I4liGlrUWLWsNWtYaFPPCyFl58IXn8Nx/\nL7n+AMvEGDnW5EvshKIabdEM+qw2vMWlbP6HfySiR/jp879isOcN1IktdwLsIhuXUTRjGqlOkU53\nwMoXrq5hRV3D6dyaZI5ZiuOIp7uLPa+9zLGRMUKKOiliTcUg3eIl2zpClmWELOsIWVYPZvU0ameY\nM9DSJoSM8XdrzizcyfyzFO1DMrdI4WLxUVdXpwKfB0bdbvd/nnTMCYwBu91u97pUzivXM/NH36tv\n8dzfPstgx1Q/NbfMy6VfvZSS6y6f8TxCCPr299L8SBPu3x0kMJQ4klGzmqi6sor6mxso31yBapo5\nQvHkeUYZ6sO04w20915Dc+9FSTJNa2daGk/WrSVgK40rYEQJYDL1cNtNXyIz84N5+pVf/5jL9zyL\nYyDmC+wpruCl5RvhpPP4lH5MloNcveGvqG64IKl+LUp8o6hdx8ZfR1E7WtHaD6P4Zy7qHg+9uAKj\nphG9dhV6TeP/Z++9w+O4zrvte2a27wKL3isJAmAVu0hKIkVVqsuyZctyiePYjpM4xY7f104+O5Id\nx4mTN06cuCVWEseWFFuR1ZslUSKpyt7RO9HL9sW2Kd8fC1AEsQAWJDrnvq65drBzZuYMefbMc87v\nPM+DllOAoijUfP+/qH+jjZ5G56ReGJJRIX+Fj+o9K6j+o08mFNx0rlxmyl7tfP8cB//5XTrfOzdh\nGWdpGhu/sJlVH1mNwTK9JPY688NiG8/0ne7l5M+P0/BcHUp04hCOOWtz2fTFLVTsqUzqfauTPEtO\nuJgNdEP/yiQc8PPyrx5nUEvQ6WgahSaRWz7+SQzm+Kr3xdYBzyda1IM8+B7KwLsorhOgTZIM6UIM\nDqSMjUgZm5AyNiJasqc+ZwGw/+v/F2d3J7mRMKVGLyYp+bQ7o0m+XTYLod27ecPajRxo4MKe26BZ\nSVHzsau5k4aRCmCkLprJ5swwn39AD2m2EFnq/YirrYXj7xzgXCBMTJyorWqkGAOkmzxkmN3kWryk\n2wKIWvIC4MUI5mzE1Cok50rE1GrElAoEafHFJV3q7UNn5tGFi6VFVVXVJuAI8Iv6+vrfmc65+nhm\nfjj53Z/w3mNuIoGx+QREg8qq64a5/t/+MmEC5KlQYgrt+9uo/c1ZWl9vnnQyBcCaaaXyzmqq7l1J\n3oaJ82E0NjZi8Huo7G3GcGQ/UnNt8nUqrURZsxll9UaUZavAamPv/ieoa6rFqOZNKGDECGG8SMAI\nBQJ0/eAPWdfegRiBdmcuz6zZhSqMnZgMC16CxjOsdVRzx4e/nnRdFz2ahjDYi9jeiNTeiDi6eYYu\n6XKqMx2laj3Kqg0oKzcw0Oni+A9+Q8dZI4Eh66TnOvOCLNsoseWhL2DNy7mk++ssLS7HXtU0jXPv\ndHDoX96j62DnhOVyr8pj0xe3svzWCkRJnyReTCzW8UxwIMjpx05y+tETDA9MPC5NLXay8fObWfXR\nNRitupg2E+jCRRLohv6VR9vh93nj2EkUcfxLUFJVdq5bRcX268Z8v1g74LlCDQ+gDLyDPPAOqucs\nkMyKLSE+2ZixCSlzM2Jq5aJOztvY2Eh/XQ3ic8+QERymUAmSZ0l+tZSqCXRFUmi22XhvlYX+LHXM\n6nVBk7CrOTjUAkxMPMhQEGhQMyES5q8/e5ceRmoBcSX1I12nTnDi6GF6YyrqlHkqNBxigBWpASqW\n2TGLg6j+RpAvcbWhICE6liGmViM5qxFTVyJYZyax6WxyJbUPnZlBFy4WP1VVVWmAg3iS7v8HRIEb\n6+vrW6dznYnGM6P9is7MokajtPz14zS+n4amjf0Z2tLCXPVgJun33TQj94r5o/Ts76brtXO4z04d\nSsqWb6PghiIKbizCURL3AhHkGM76E2ScepfUlrMISYzfoylp+JetxrdsFYGylcj2iT2fT9fuo3ug\nG9MUAoYk9bBl/X2kpMTzdLQc38eNR39DWm+YAXsa/7vuBiLSWBs3SpBBw1lKBJmtm7+CyTxxKNWl\njiHgxdbdir2rFVt3K7buNgyR6ecYi6akESirxltYQeuxftpPBulpcqIpE9trJluMopV+ij+8EfvW\n8eG9dHSmwl3jov6RGlynJhbgMq7KYsWnKsm4KmvB2+06SxMlqtC7v5vWp5vxNXgnLGdMNVF6Tzll\n95Zjci6+BXPzwURjXF24SAJduLhyUBWFfb9+jOZAeHwCbk0jW9LY87EHsTjGG+b6hNJ41FAvcv9b\nKP0H4pOMySDZkDI3IWVejSFzy4wm1J5vErWRd//xHzCfPklWOEyp6MNhnDgJ1MW0WCw8XZFJZ/ZF\n7tkaWLQ0bGoxds3JZL18Dw7ODdv4zLZsrrl6x3QeR2cWuBL7EVVRaHz3AGfr6xlSxfF978VoGmZN\npTzNwYZr12MxDKL4GlB9DaiBJlAuMbmlMRUptWpEzFiJmFo1Z3lykuVKbB86l4cuXCx+LgiDqwH/\nBfzf+vr6aS+r1oWLuSPa1snpv91LX/P4JNk5y7ys/eouzJWls3LvYFeArtc76XrtHKHeqTwVNVas\nktlc2UfJcD2G6NQT3MO5RXiqN+GtWk84u3Dqd/ZFnK55k+7BXkxq7iQhpMKIYg9XrdtDZlo+AN6n\n/5FrW+sZVmw8uXY3XsvY8YFClAGphnSjh7V591FQtm5a9VqyaCpmVz/2rhZsXa04zjVh6e9CmCrb\n+0VE0rLptRdx+qxAU1s6Qc/EC6QEQSO3wkvJtgwyPnEboh5GSmcKfC0+Gv6rlv73Js4lkLkxmxWf\nrCRjXdYc1kxHZ2I0TcN9xkXr/zbR9+7EbVeySJTcVUb5RyqwZF65wnoy6MLFZaALF1cGvr4eXnj2\nGYLCeONK0FS2lZew5ubbJjxfn1CKo4YHUPrfQu4/gOqrS+ocwZKPlHU1hqyrEdPWIIhL06Vuqjbi\n7+/jxHe+TZrLRV4sRLEpuSTftRkWnlueTq9jfKgBg2bBKJeTSjbmSbxcwkjUxrLIN/j55hc+keQT\n6cw0V3o/IofDnNr7W+q7ugkgJSViOFCoLMhj7Q23YLRa0ILnUPyNcSHD34Dqb0k+HN0YBAR7KVLa\naiTnKkTn6nlP/H2ltw+d6aMLF4ufqqqq6wE7sAH4QyAC3F9fX39kOtfRxzNzQ9cr+3j1mwfw9V+U\nHFbQqN7u46aff/OSQkNNF03T6D7SRe2TZ2l8qYGoL3L+mFGSWZfbyabCNrLtU3suKstXIm/ehbzp\nOrTcwhmp36t7H6OxtRmjNpmAEUGQutlz86coK15J7bF3KX7qb3H2Rnh25fX0pI4NGauiMCQ1IBgG\nWGtdyZ33/+WM1HXJMRxAaq5BajyD2HAaqbk2YaL1idA0qA2WcLwnn/burHEeRRfizA1SvkFk8zc+\ni714ZtqOzsInWXvV2+HhvX98h/pna5lISyvdVcbWP9lOwWa9/SwVluJ4xtU0xLGfHaHuqZoJQzdK\nZonVH13Lpi9uIbVo6SzOnQt04SIJdEN/6VO3by9vNzQlTMCdisIdH/owjqzJ8yksxQ44WbSoB7n/\nAHLfflTv2aTOER3LkbJ3YMi+BsFeekW4ek63jdS+/iq+Xz1ORnCYIjVItiU4YVlFgIN5Dl5elkbA\nND6clqCJCLEVWIQisogkuMIHtGtOBoYN/NltVXoy7znmSu5HLiY4NMjxva/S6vYSFpITMTJFjXUr\nq1m27VpEKf470NQoaqAV1VuL4qtD9dajhXsuqU6CKRMxbRWSczWiczWiYxnChLk6Zh69fehMF124\nWFpUVVWVAceAQaC6vr4+uUzJ6OOZuaDux4+x/0fthC/KZ2G2x7j6AScb/uoP56VeckSm7c1WOp96\nl5zWA6zLacdikCc9xyNkEVx/A44HPoSUlz9rdXvl9V/Q1NaGaRIBQyGKJvZw/bX3sbJqIwd++HWu\nbzzKG3lX05g11nNFQ8MjtuIXu1guSnzs/h9itS0s78kFhywjtjcg1R5HqjmO1HgaITr5WGEUT8jK\n0e4yTvQWE45NLMiZrDGKVwXY8LmbKLx990zVXGeBMpW9GhwIcugH73Hmf06hyolfYyU7y9j25R3k\nbyyYtXrqzA9LeTwT7Atw4ufHOPXoyTELBi5ENIhU37eKzX94Nenl6XNcw8WJLlwkgW7oL13kaITX\n/udROiNKwtBQqzNS2PGRjyd1raXcASdCU8Iog+8j9+5FcR0Fbaqxs4DoXIkh+xqk7B2I1tkbBC1U\nLreNvPWdb+FobIiHlZJ82IzjV5GHJYE3SpzsK04hlihRmQaW4QK8hvUsF30TDBHjBDFSG81kpT3A\nn30mud+BzuVxpfUjyTLU2sSxt9+icziCnIRQIKkqBRYDm6+9jqzlleOOa1HPiIhRF//0NYByCcm/\nJctIaKnViM5VSM7qWQ0vpbcPnemiCxdLj6qqqv8FPgJU1tfXJx3nSR/PzC6Hvv59Dj0ZQ4mNfUel\nFwa4+ds3kX/TtfNTMU1DOnsU42u/QTr5/qS5K4JRE2f7CznVW0RfIL4a1JxqpuL2SqruWUnRtmIE\ncXa6lNfffJz6lsZJk3grxFDFHq7duoe8rFLkf/8yvRRytGD8Ihu/2I1bbCHHILOr+jOs23LzrNR7\nSRKLIrbUIdUcw1B7HLG5BkGe3HM1poic6SvkSFc5/cHUiQsKGnnLvVTtLmTt1z+PpIeRWpJMZK/G\nQjGOP3KUIz85SCyYuE3lbyxgx9euo2hb8azXU2d+uBLGM9FAlNOPneTYz44wPJB48akgClTds5Kt\nf7pdFzCmQBcukkA39Jcm7nNtPP/SK0QSTIIZVIVbdmyjcO36pK93JXTAmqaguk8h9+5FHngHlKlj\n4YrOVRhydiHlXItozpyDWi5cZrKNDHS0Uf+975Lu9ZMfHabQ7EMSP+iq3GaJl5alcSQvceJtUdUo\n7zXhN65BdqbhECYfkDSpGfhDGt/42HYK8nVX3dniSuhHLpeO44c5efwEfbKa0EtuDCP5MCoynay/\naQ+2tMRGoaYp8RBTvlpUbz2KrxYt2MGEfusTIiI6yuMiRtqIV4Zlcm+96aC3D53pogsXi4+qqqqV\nwKvAa/X19Z9NcPw14CZgVX19fW2y19XHM7PHG7/7MKfftMNFIXMKqz3c8cs/xZozc++BpFFkDIf2\nYXz+UaSutgmLaYi0R4o43JBDkysHVZv4verIc1B5dzXV964ia1X2rHhLH3j3GU7XHseg5iOSeKGC\niowi9rBp/XWEW5rJrj/Ouzkbx9kEIcHFoFSPWYxRbSzkww/+3YzX94ogEkZqOhP3xqg9jthShzDB\ngjVNgw5vBkc6y6kfzEWbZImUMzfIss0Gtjz8hfn5jejMGhfbq5qqUfdMDe/+/dsEevwJz8mszmLH\n/7mO8huXXRGRGK5krqTxjByWOfvEaY7+9BD+rsRtX5AEqj+0iq1/sp200vG5sXR04SIpdEN/6VF/\n4A3eqmtCS/BSzBZVbv/4JzFN0614KXfA6nAXcs+ryL170SKDU5YXU6sw5OxEytk5o5N2i53ZbCMn\nn/gVkd++RMZwmBLNT4Y5Liqdc5h4YXkaDRmJk+iZFJXrOvzYgkWcKq5Gs5knvY8HM42RdLbnRvnd\n+z88489xpbOU+5GZRpVl6t56k5qmZtxackm9nYLCqrIyVu2+ecpkkVosEBcyPGdRvGfjXhlqcqET\nLkQwZyOez5OxBtFRhjCV4DIBevvQmS66cLH4qKqqMgA9gAVYV19f33rBseXAaSAA5NfX1ycOpJwA\nfTwz88RCw7z88b+h9fh4UXzFVg+3PvpXc5LPYgxyDMO7r2F64THEvq4Ji6kpaci77yK2+260jGxc\njUPUP1vLmSdPMdwztQdixopMKu+qpvLu6llZKXrw6GscPfEWkpqPSOL3tYqCLPawduUG5IPv0WEt\nJSaNzZMXJciAoQZFiFAmKtx769+RmVs04/W9kmg+cwpHRyPF3j6kU4eQutsSlvOFLRztLuV4dykh\neeLfgcURpXRdiM1fvZ+sTXpS9aXAhfZq53sdvPWd/fSf6UtY1lniZNtXrqHy7mrERNECdJYcV+J4\nRokq1D1dw+EfH8Tb5klYRpAEVn54NVv/eBvOEl3AuBBduEgC3dBfOqiKwr5fP0ZzIJwwNNSmwhw2\n3nHvJV17qXXAmhxCHngLuftVVO+ZKcsL9lIMuTdgyN2FaM2bgxouPuayjbz1/32dlHPnyImEKDH4\naM828MLyNDpTEgsT9qjCze1eVrngVG4VZ3KXo04ysasg0KBmooSifPuzN+NMzZitR7miuLCNaJqG\nElWQw3J8C8WIheKfckhGDseQwzKx0b9HjitRBTWmoMSUkX0VJTbyXfSC/ZiCOvK3ElPQFA1N1dA0\nLfG+qqGpKprK+X00QAAEIf4hCvF9If59PKRE/O/RYwggigKiUUI0iGO3i76TjKP7EqJBQDIbMJgN\nSGZpzL5gkHEN19AthAlLhilFDEFTyTOIrN+8iaJ1G5P6v9HUGKq/GdV7FsVbg+I5C7HEhuekGBxI\naWuR0tYipq+N58kQksuTsdTeMzqzjy5cLE6qqqoeAB4DhoAfAS1AOfAlIBv4bH19/X9N55r6eGZm\nCXb18sKnf0hv09jJBUFUuerWKLt++o25rVA0guGtlzG9+D+IQ4knCAGU0kpit9yHvHU3mMbbhA0N\nDXhq3QwfDdDwQh2hoam9q3PW5FJ5VxUr7qya8YSjp06/w9uHXkFU85EwJiyjoRIT+nBaHOA3EDKM\nXayjEGVAqiUq+smQZNal7eLGu74wo/W8krjYFhEGe5FOH8Jw6iDS2aMIkbGJvmOKSE1/AYe7ys+H\nIEuEaFAoWulj/ce3Uv6Je2bvAXRmncbGRoJdAc492kbLa80Jy1jSLFz9ZztY+4mrkBLkZ9RZulzJ\n4xlVVml8sZ5D//o+rsahhGVEg8iq+9ew9U+2kVIwSei9KwhduEgC3dBfGoS9Hp799a/wJZggMqkK\nd9x0Q8JY6MmyFDpgTdNQfbXI3b9F7j8wZSgowZSBlLsbQ94NI5Nv+vzIZMxXG+lvbKLh+98jzRfA\nnxXjYJWJIVviwV96SOa2Vg9XDYRpzCrlVN4KelOzJr3+IDaaQyncU23irlv2zMYjLCo0TUMOy0S8\nYcKeMBFvmEggStQfJRqIEAtEiY7ZIuf3A64A8nAMNawSC8bQVP31M11seTFSbjIwXOxAkaaOnWyQ\nZVIHwoit6UiiE6PNGN/sJkwOE+YUM6YUM+YU08inGZPDhCnFhMk0hBBuQPXWoHhr0IY7pl9hgz2e\nIyNtLVL6OkRHxYQJv5fCe0ZnbtGFi8VLVVXVduBrwDVAGuADDgPfr6+vf3W619PHMzOHv7mD5z7z\nCIMdYycUjBaZ7Q862PDQl+auMrEoxjefx/ji44iexJMgmiAib9lF7JYPo1asnlTcv/A9o8QUzr3d\nTt0ztbS82kRsePKwogD5mwqovKuaFXdUYc+ZuZxPtfXH2Pf2UwhqPhKJV+9raERxYVXtqKLlomMq\nLqmJoNiPhMYqBD70iUcwGhPbwxejahreqIY3qo5sGr6oim9k3x9TCckaIUUjPPqpaIRkjYgCsqah\naqCooGgaigaKFl//IQkgCiOfCEhi/G+jKGCWBCwSmCUBsyhgkeLf2YwCKQYBh1HEYRRwGAVSTCIO\ng0CaWSTdLJJqFGZlbDapLRKLIjWcRjp1cJw3hqZBpy+dQ53l1A/kozFx3XKWeanenc+6v/yCngdj\nkRENRvntt1+m7TfNqLHxIcUkk8RVn9nAli9tw+K0JLiCzlJHH8+Aqqg0vtjAwX9+F3ezK2EZySxx\n1ac3sPmPrsaanjh6xpWCLlwkgW7oL366Tp/gt+++j5JgMihb1Ljzk5/GYL68F+di7oA1OYjcu5dY\n10towbbJC0uWeILt3BuQMtYnvVJYZ+G0kcNPP0nD8edpK9QImxO/A/IDUe5sdrPSFWbAns7J/BXU\nZZcjTzIRHEOkTsnCEgvy0O/ejd2ROL/GYkKJKYRcIUJDwwwPDRN2hwl7QkQ8YcLe+BbxfCBQhEe+\nVyJJR+/QmUXS18Uw7DAznOlIGBpwDJqGORTBWBNkcK+IGkvOXV2QBEyOuLBhz4a8FV6ySodIz+vH\nkdaHKE6zLUjWeFipUSEjZQWCGJ9YWSh9iM7iQRcudEbRxzMzg7e2kec+9yiuzpQx31udEW74ShUV\nn/nI3FREVTEcehPTk48gDvQkLKJJEvI1txK980G0JMMjTZhUdzhK86vN1D9bS8eBNlQ5cY6D8whQ\ntK2YyrurqbitcsYmXVpaanh136OgFCAxcXhThWhCgcMnduIR20CAZWKEAueNrNj9u3QFFbqCCt3D\nCv0hhcGwykBIZTAc3x8MqyiL7BckCZBmiosY6WaBdLNIpkUixyKSbRXJsUpkW0SyrRI5VpEsi4iY\nhNAxHVvkvDfGyYNINR94Y3hCVo50lXG8p4SoMrF4lJYVpHyrxJZv/b6eB2OBo2ka9c/W8fZ39xPs\nCyQss+LOKq752nV6GJwrHH088wGqotLwfD0Hf/AunhZ3wjKmFBObfn8rG35vI0bbHIefXCDowkUS\n6Ib+4uboC09zrHsgYWiodTnpXH3v/TNyn8XWAWuahupvQO56Eblv/5Sx20Xnagz5t2LIuQ7BcGUr\nvpfKQmsjvV4XP33tx6i+RibKxbjME+b2Fg/LvREikpHanHJO5a1gyD65wdmLg46QnbsXmBeGpmlE\nfBGG+4MMDw2fFyRCQ8MMD47+HTr/d8QbnvqiOgseQdTI3i0jr7MTtlmSyodhcwdR3w/hOmaESVYF\nToZoUMkq85G3wkPuCg95lR7Mdnla19A0I4qxAiFlDQNyDkrqMiqrVl9SfXSuPHThQmcUfTxz+bhO\n1fDC7z+Bu3vswgxnXpDb//4WcnZtn5N6SDXHMP36p0htDQmPa0YjsZ13ELvj42iZudO6djK2asg1\nTNPLjTQ8X0fn++fibgOTIBpEiq8tperuapbdXIE5dfJ8asnQ2dPKiy//DFXJw8D0xiWjSbs1QcEm\nqFjCpXzb+PvjkntfaRgEyLNJFNgk8u0i+SP7BXaJEodEqcNAjlWkqakJuITxzKg3xsn3MRx7B3Gg\nm4hs4ERPMYc7y/FGbBOearVEqFjp5aqvf5TMbZsv5zF1ZoH+M33sf/gNug8nzquTtyGfnd/cTf6m\ngjmumc5CZKHNiSwEVFml/rlaDv7gvQlzYNiybWz9k+2seWDdFRdeTRcukkA39BcnqqLw20d/TmdE\nGTdJJWoqt2zdRPH6mTN8FksHrClh5N43kbtfRPU3TVpWMGVgyL8JQ/4tiDY9kd3lslCjCBTmAAAg\nAElEQVTbSF1vB7988ycIke4Jp2crXSFub/FQ6o+iAd2p2ZzKW0FjVklCT6ZRZATqlSyEaJiHP3PL\nrObCiAajBPsCBPsCBPqC5/eD/QECvR98r0SmN3E8n4hGEYPFgMFixGg1YLAaMVgNCb4zYrAYMFpG\n8j+YJESjhGQc3ReRjCPfmaR47oiR46JJRDJICAYBURTjuShEAVEaCTGQaF/84G+0uCCEpqFp8fwX\no/uoWnw+4+JjqhbPvSEraLKGIsdzcajyyBZTUBUt/imr58sqUQUloiBHZJSIjBxRxn6GL/5+JD/I\ncIxYKEYsGEMwhkm/BULLUpCTCBEhKgr2bj/+1xWGuy4vXIEgaKQXBcivdpNf5Sav0oMlZerQGxci\nx0SGzqXj7snH7ykiqpZjzXRiy7Zjz7GP+bSkWfQQflc4unChM4o+nrk8hg6f5PkvPYO3d2z4o/TC\nAHf/7BOkrZ59204814LpiX/DcOpgwuOayULshruJ3fYxtLTMS7rHdG3VQF+AppcaaHiujp5j3VOW\nl8wSZdeXU3lXNeU3Lrvs1aMezxBPPvN9ArEcPOTSK6TQJ6TQh4MBwU6R6uV+7TRGxnqIXJi0G2CV\nGuXX/k+xL/Wqy6rPUscqCeSZFQrNGivzUilLMVDqkCgd+Uw1JSn+aBpiVyvS0bcxHH8HobmB+sE8\nDnaW0+WbeKwgiQrVpX2sva+C3C/+XsI8LTpzR9gb5t2/f4vTj51MKGDac+xc+5e7qLp3pW6P6pxn\noc6JLARUWaXmybMc/Kd3CPQm9lxyljjZ/tVrqbyreiSf5NJHFy6SQDf0Fx9hn5dnfvU4fmH8JJND\nlbnn/vuxZUwet3+6LPQOWA31Eut8HrnntyAn7gQBEESkzG0YCm5Fytg8Yax1nemz0NvIey1nee6d\nR5Bk14QL0lcPDHNbq4fCYHyyddhg5mzuck7lV+CzpCQ+aQSfaqIumsGuIplPfuhD06qbHI7h7/bj\n6/Lh7/Lj7/Li7/bj7/afFyiigei0rjmbiEYRS5oFi9OC2WnBNJoXYXRLMWOymz7IleCI/93j6sVo\nN1C5tgqjzYhk1H9/M42masjhGLHhGL21Zzhbd4I+jalXWmoapliMlJ4ogcM2IkMKEV/08oQwQSO9\nIEheVVzIyK/yYHVOrx3LMZH+Jifdtel012Yw0JqKpsSfRTSK2LLs2LJt2HMc2LPj+7Zs+8j+ByKH\n0ZpcnG+dxYUuXOiMoo9nLp3+tw7x4ldewdc/dkV4ZrGfu3/+u6RWlM1uBfwezP/7MwwHXkJIMK7W\nJInY7ruJ3fNptNT0y7rV5diqvnNeGl6sp/H5evrPTJwgfBSD1cCymyuovKua0l1lGMzJLQ7oGVY4\nMRjlxFCMs64YdR6ZFr/MRGnBijUPv6McxclY73KFGINSHRHRC0CGKFPem85fpv4+3ebxk+cpxnj+\niFSjQKpJxGkSSTUJOI3xT6tBxCKB1SBglQSshg9yUkhCPHeFQSC+P7L2QxDiuR8UjXgOjJH8F6oG\nMVUjosRzZISU+H54JIdGUNYIxFQCMW1kUwnI2vmcG55I/O+5JsMsUpoS985YliqxwmmkymmgwmmY\nVNQQXP1Ix9/FcPRtet9r4dC5MuoG8tCY6ByNyuw+1m8KU/T5j6Ks3QqXGfZZJ3k0TaP2N2d5+7v7\nCQ2Nz4kpGATKP1LBrd+8DZPjygxtozMxC31OZCEgh2Oc/O8THP7RwQkjQGSvymHH166jdFfZkhcG\ndeEiCXRDf3Ex2NLI86/tRb54wl3TKLMaufHBTyNKMz8ZuBA7YE3TUN0niHU+izJ4kMl8uQVzFoaC\n2zAU3IponllRRyfOQmwjiXjx1Nu8feJxDGpwwjJlPTK3Nvmolv1AvGW1p+VzKn8FLRmFk08Caxrh\nkMZgSONLn/8QWRk5hD1h/J2+uDDR7cPfGf+M/+0nNDg8w0+ZJAJYM6zYMm1YM2xYMqxxQSItLkhY\nnBfsX/C90Wa8JANisbSRpYaqKDS8tY8zjY24NTGpUFJpgsrqiuWs2LYLOSQT8UeJ+iJEfJF4HpSR\nz7A3MpIH5YJ9b4iIN5JAbNNw5g2TX+0eETM82NMnD+N3MdGQRG9DGj21GXTXpjN0LgW0qduiKcWE\nLduOI8eBIz8FR74DR17KmH1bpu2KWdmzVNCFC51R9PHMpdG79x1e/D9vEBgaG44ou9TH3b/4Ao6y\nWfRIVlUMB17C/MS/IwR9CYvEtlxP9COfQ8ubmXrMlB3ibnHR8Hw9Dc/V4mpKnHj0QkypZpbfvJyK\nO6ooubb0vIjRH1I4OhDl+FCMkyNiRV9oivwaCUjVwnxGOUIxY/8dNTQ8Yht+sQsEENC4PuTH3JtH\n661fYk3lCrIsIlkWCYthcXWnUUXDHVFxR1XcERXXSK6O/pBCf1hlMKTSH1YYCKn0hRS80dntIgps\nIpVpRiqdhviWFhc1cqziWJs56Mdw6hDeZ1/k1NthTnYXE5kkD0ZRqottZa2U31yJsn03yrqrwayH\nNZ4thhoGefMbr9N1sDPh8fIbl1HyqXLsRQ59PKOTEH28mzwRb5ij/3aY4/9xFDmceLFc4bYirvna\nTvI3Lt1QbLpwkQS6ob94aHx7P/tr6scnYdU0tpcVseaW22fv3guoA46Hg9pLrPNZtGDHJCUFpMwt\nGApvR8rYontXzDILqY0kw68O/5aTNU9h0BKr/BqQ4jey/WyIcneYEsmP3RglYLRQk7ucM7nL8Von\n98IwR8NYXD5sQ/24Tlhxt86+aGawGrDnOLBl2bBl2bBm2uLCROYF+1lxscKSbkWU5i7m8WJrI0uR\ncMDPiVdfpmlgiJAgTSliiJpKvkli0/bt5E4z94QSU+IChztEyB0i7AoRcoXiieBdIUKuYYj14kjp\nIC27m6ySARyZ08u7Eg4Y6alLo7smg+7aDLy9Ni45Z4dRxJHrwFGQiiPPQUr+iLCRNyp2pGDLss3p\nb0ZncnThQmcUfTwzfXpef5sXv7qPoHvsSu6cZV7u/Z8/xpqXM2v3FtsbMf/395GaaxMeVyrXEXng\ni6jLV83ofWfaDtE0jaH6wbiI8Xwd3vbEsbsBVAGGMlPpqsrHtamMlpw0zsmX/z6xaxEyGSZXDbBT\nayWP8Z7nQaEfl9SEJsRFkQIhyscbhuh0FLP8j3+A1eEYd85SY1hW6QmqdA8r9Ixs3UGFzqBCe0Ch\n3S/jj818N+I0CWOEjJXpRtZkGMmzighyjPDe1zj9k1c4U5eNLzxxHoxMm5+ri1pYUzyIsHEr8pbr\nkddv00WMGSI2HOXgv7zP8Z8dQZXHi4fOsjR2PXQD5Tcs08czOpOit4/pE+wLcPBf3uPsr04n/P0B\nLL+1gu1fvZbMyqW3CFkXLpJAN/QXB+/95tecGfImzGexZ/vVFK5dP6v3XwgdsBZ1E+t8nljXCxBL\nvDILAGMqxoLbMBTcjmidXtI+nUtnIbSR6aIoCo++/wL1jS8gkTiEjQaoplxuq/4Q2n88SprPTU40\nRJHRR39GFmfyKmjKLJ40FwaaRomnl+zefoz9Q/gNZk6dLCHiSk26rqJRxJ7rwJHjwJ7nwJHrwJ5r\nx57rwJ7jwJHnwJ7rwOQwLVh3ysXYRpYyrrYWjr61n3PDkcnb7whmVWFZeiobb7plxsMRwkj7CPaT\nZxpC8ZxGDNcgMTStawTdJnrq4t4Y3TUZ41YRXy6iQcSea//AWyPPQWqRk9SiVFJGPs0pekzquUIX\nLnRG0ccz02Po8Eme/eJz+AfH9pF5FR7u+fVXsGTNUs6u4QCmp/4T4+vPIGjjJyfU/GIiH/sDlPXb\np/YOvARm0w7RNI3+0300PFdHwwv1+Hr99Oek0bwsj7ayHM4VZxGyXfr7ocQhsTLdyMo0A9VpRqrT\nDJSnGjj87hPUN9dhUPMQmfhdHiXAgKH2fN4LAxq3+rxsawuwr/Iarv/ity+5bksBTYt7cLxV00ZX\nWCDqyKY9INPmj4sa54IKsek7w0xIpllkbaaRNelG1mYaqTZFCH3nn2k+qDHonnh8YDeG2VLUysaC\nDix2EWXd1chbdyOv366Hk7pEWl5vZt9De/F3jp9fkMwGtn7pajb+/pbznlL6eEZnMvT2cel42ty8\n94/v0PBcXcLjgiiw5sF1bPvyDmxZ9oRlFiO6cJEEuqG/sFEVhZf++z/pUcYfs6oy9953H47s2Z+c\nn88OWA22E+t4CrnvDVAnTvQqOpZjKLoHQ+4uBEmfOJprFvNLWlEU/uPtp2hrfQWJxG6KmgbDwQzS\nf51PaoeIZB9m3ZY2MuUQTkHBX5RJTd4yXPa0Se9ljYZZ1d9CdU8Lwx6BPpOVQclGQ0s1ablFpBSm\nxreCFFIKUuOTo7l2LOnWBStIJMtibiNLndZD73Hy9CkGFCGpUFJOQWFVWRmrdt+MaLi8pN6jJGof\naqgXxX0CxX0S1X0CLeqe1jUDQ3a6zqbRVZNOT206Id/svxvMTgupRannBY3U4guEjcJUzKn6+2mm\n0IULnVH08UzyeBuaeebTv8TTM3aVfUGVh7t/9VXMGZPbMZeKdGgf5kd/gOgd349rJgvRez9N7Nb7\nwTB7OYlm2w5p98vs74nwZleY/edCuJTpd1FmNNZkGtmQbWZdppHV6Uaq0gw4jJN7Zxw6tpcjx/ch\nqvlIJP43vDjvBUCZEOHBEwNgNXNq9+e4+ub7pl3npcREbURRNbqH494ZbX6ZZq9MvVemwSPT6pdR\nZqAHMolQnWagoLMF56kOrHUR8nrdWMPjx79GUWZDQQdbi1pwWsJoFivyhmuQt92AsmbLrP6OlgrB\nvgD7Hn6DppcaEh4vvb6c3X99I86SsX2iPp7RmQy9fVw+/af7ePcf3qJ9f1vC46YUE1u+tI31n9mI\nwTIz49D5RBcukkA39Bcu0eEgTz/6S3zC+NUz2aLGnZ/6HQymuZkAmesOWNM0VM8pYh1Pogwdnrig\nICJlX4ux6G5E5+pFP7G7mFlML2klpuBt8+BqduFuceFujm8DzYO03OHCUnUOSUigFjIiYAQySX8i\nl9SOD36b1jwfq1a2E3WmE8rJoD8zG1ma/EVa6O1nTW8TK4Y6UKIC5+RUBkwWvJnpbPzWd7E7nTP6\n3PPNYmojVypyJMyp139LfWc3gSRCSQmaSp5RZOOWrRSsueqy7j1V+9A0DW24A8V9ckTMOAXy+JAY\nkyGTT3B4Oe6+IvqaMvF1RQj0+PH3Boj6ppdv41K5UNhIKUodK3IUOXVhYxrowoXOKPp4JjlCvf38\n5v4fMtQxdkV3QZWHe5/6C4yOWVjB6PNg/sU/Yzy8L+FheeO1RD7xJbSsvJm/90XMtB0SUTTe7o3w\nyrkwr3eGafUnth0nQlRU8nvdFHYNUdDtIr/HTfaAF4vVQPmNy1lxeyVlu8sxWJKfhG5pqeG1fY+h\nKnkYGL8C/+K8FwAmQeXOIQ/ba/20FmUT+cTDlFVMLzzkUuFS2khU0Wjxy9R7ZBo8MRq8Mg1emUav\nzPAMJBF3eoIU9Lgo6HJR2B1vK6NihoDK6pxutpU0k+sYyc1nT0XevBN5+40oVetAD5c8Bk3VOPvr\n07z13f0JbT9HnoOdD91AxW0rEs4t6OMZncnQ28fMce7dDt753gH6TvQmPJ5alMo1f7GTFXdULep5\nQF24SALd0F+Y+Pt6ePqZZ4kkSMJdnebguo8+OKf1masOWNNUlMGDxNp/heqrn7igwYGx4HYMRXch\nWrJntU46ybEQX9KaquE952WofjC+NcQ/3S0u1En8vWVJo/MTfmzLziEKicvFBYwM0p+Ie2BYM604\nS9Jwlsa3Vs8BfCYjplQLinXyiUiTHKVqoJ3V/c3k+YcQgEDMxDklhSGLBW9+AZv/4huLXshYiG1E\nZ2K8PV0cfXMv7f5h5CQGvSZVoTzNwaab9mDPnH4oqem2D01TUP0tKO4TqO6TKJ7ToE5DfBAkxNSV\nSBkbkDI2IotlBPuGCfQG8Hf7CPQECPT6CfT4CfQGCPT4CXuml4PjUjA7LThLnaSVpeMsSSOtLN6n\npJWmYcuxL2rDfKbRhQudUfTxzNREPD6evu8f6Gsea0vkLPPyof/98qyEh5KOHMD88+8j+sfnflCz\n84l88k/iYaHmiJmwQ/pDCq92hnmlI8yb3RGC05iYTjEKrDOplHQM4DzQQGZNN6bY5GKH0Wak/MZl\nVNxeRdnucozW5EQMn8/NE0/9I0qsADGBB8awMMiQ1Ih2wUKdFYR54NggqbLK8eIyyv74X6+I/BcX\nMpO2qqppdAYVGjxxIaPOE+OsK0aNWyZ0mS4amYM+CrtdFHQNUTgielWm9LKtuJny9MHz607UtEzk\nrdcjb7sRddnKWQnBtphwN7vY+xevJky+LUgCGz67iav/bAcmh2nCa+jjGZ3J0NvHzKJpGs2vNPL2\n3x3A25Y4j1T+pgJ2fnM3eRvy57h2M4MuXCSBbugvPPobannhzQMo4kUuwZrGdZXLqb7+xjmv02x3\nwJoqI/ftI9bxxKQJtwVLHsbiezHk34pg0JORLSTm8yWtaRrB/uAHAsWoSNEwiBxKHPopGWImjc5P\nebEXdyIKibtKDdBMhXx81xdYU1iWsMzDP3mMiCxSagowVV7fjGEvq/paWDnQiiMaOv+9L2rmnJaC\ny2zGX1zCzu/87SU+1fyhG3KLl47jhzlx/Dj9MmhJhJJKRWVlaRGrdt+ctGfg5bYPTY2h+hpGvDFO\noHrrQJs4vOA4DHaktKvOCxmCtWCcSBALxeJCxoio4e/y4evy4ev04ev04u/yTSqKXi4Gq+G8iOEs\nScN5gaiRUpCKaLiyEofrwoXOKPp4ZnKUSJRn7vk2nbVjQ55kFPm571dfwF5cOLM3DHgxP/qvGN97\nfdwhzWAkdseDRO98EObIc3yUS33PtPtlnm0L8Vx7iKMDMZJtbClGgWvzzFxfYOaaPDMr0wxIYrzb\nUhWV7sNdNL5YT9PLjQwPBKe8nuEiTwyjbeLJ1VFCw8M8/uufosop447FGGbQUEdMGD7/nVlQuW3I\nw3Un/cTSRfaXXMWOr/xTkk+8+JkLW1VRNZp9MmdcMU67YpxxxTjjjtEzfOn2g6iq5PR7KegaYuVg\nF3dxjDtNJ7AIH4yD1Ox85KtviIsYxctm4lEWDUpU4chPDnH4h++jRMeLhblX5XHj391C9qqcKa+l\nj2d0JkNvH7ODElU49csTHPznd4lM4CVfdc9KdnztOlILk88juhDQhYsk0A39hUXL+2/zxqmacRND\noqZy245tlx2K41KZrQ5YUyLIPa8S63gSLdw3YTkxtRpjyYeRsnYg6O6uC5K5ekkrUQVX4xD9Z/sY\nONvPYO0AQ/WDM7YS2mAxkL4sg/Tl6aQvzyB9WQZisZkn2p8h5D2FMMFwVQMwF/KxnZ9nbWF5wjLH\nTh/jp3vbybbFKBO8CcuMImgqpe4eVve1sMzVieGiJJaeqIVOzYHLYiFQsZyd3/jWpTzunKIbcosf\nORrh7N7fUnOuiwDJhZLKNYhs2LyJonUbJy070+1DU8Ko3przoaVUXyOQ/KSAYMlBSo+LGFL6egTT\n1B5PmqoR7A+MCBkjYsbIp6/Th7/Ll3DAPBOIBpHUYifOkhFvjdIPRI3UEuf5pJJLCV240BlFH89M\njCLLvPDhh2g7kT7me2dukHv/60HSVs/sO1k69g7mn/8jotc1vi6llUS+8HXUovmZNJ3Oe6YjIPNs\na4hn2kIcHUxOBDeKsDXHxPX5Zq4vsLAhy4hBnLqbUhWVniNdNL7YQNPLDQT7kxAxLAZKry+nYs8K\nym9Yhtk5eWLmI0eOcPz4UWCswK2i4JIaGRYHx3xfLkR44MQgOS6ZQI6JN1fuZvdn/2LKei125tNW\nHQwr58WMUUGjwSNzqdGmjDGZ1a5z3DR8hmsD9Wz3NpI5EmJTKSxD3nEz8vab0DJnP1/mfNJ/uo9X\nv/oyQ3WD444ZbUa2f/VarvrMBsSpVpeNoI9ndCZDbx+zS8gd4tAP3uPUL0+gyuPHdZLZwMbPbWLz\nH149qefUQkIXLpJAN/QXDsdfepYjnX3jJoKMqsK9d95OWmHJPNVsNiaUIsjdLxFrf2LSZKtS5tUY\nS+/X81csAmbjJR0NRhmsGWDgbB/9Z/sZONuPq3FoRib+7LkOMioyRkSKD7aU/BSECQaZQwE/P3n9\nZ4Q9kwsYmrmAj+38HOsKl094/+898jit0RQqjS5SiE5aV3MsQvVAG6v7WsgJukhUO1fEShcOXBYz\n4dVrueb/fG3Sa84HuiG3tAgM9HF072u0egPEkhCUjapCWaqdTTfcRErueFfeWffsk4NxEcN1DMV1\nHC3UNY2zBcSU5SNCxgZE5xoEafrGsKZqBAeC+M55x3hpXLivRGZe2BBEgdSiVNJG+7vy9PMCrT3X\nsWjfr7pwoTOKPp6ZmJc/9g0a3h/raeHIDHH3v95G9jWbZ+5GkTDmx/4V4/4Xxx3SJAPRez5N7I4H\nwTB/IupU75neYYUnW4Z5pi3EkYHkxIo8q8itxRZuLbawK9+MfYok2lOhqRrdR7toerGBxpcaCPZN\nnctJNIoU7yih4rZKlt28HFtW4lwl3d3dvPLKKyjK+PeMX+zGLbbCBR7GRkHlFo+P3ce8iAIMFNg5\nft2nuea2j136Ay5wFpqtGlE0atwxjg1GOTYY4/hAlDqvjHqJPV7VcDfbvQ3s8Daw3ddIZagXrWod\n8jW3IG/eCbalExpMiSoc+pf3OPzjg2gJQnOVXl/ODX9zE6lF0wvFu9DaiM7CQm8fc4O72cXbf7uf\nlteaEx63ZdvY/ufXsuqja5IWJecLXbhIAt3QXxgc+PWj1HuHx4kWdk3mvgcexJI6v7HtZ6oD1pQw\ncteLcQ+LCQULESl3F6bSjyI6Eq9c11l4XG4bGR4aZuBsPwMjnhT9Z/vxtLpJ2h9/AixpFjKrs8is\nzCKzamSrzMIyxcq0yRgK+Pm3vY8w7D45uYBhyuf+6z7P+uKJBYyOzg6+9+RBzFYDleIQ0hQPnBn0\nsLqvmeqBNuyxib1MBiM2unDgtpqJrd/I9j/9clLPNpvohtzSpevUCY4fOUyvrKIJUxiHmoYDhZXF\nhay58dbzoaTmun2ooT4U93EU13EU93GI+ZI/WTQhOtecDyslOpbNyOS/pmoE+gJ42z142jx4Ozx4\n29x427142t1E/ZOLnJeC0WYkrXzUwyydtPIRj7PyjAW/UkkXLnRG0cczidn/xe9w4uWx9o41NcId\n39tB4e27Z+w+Qlcblh89jNTVNu6YUrKcyOf/ArWkYsbud6kkes+EZY2XOkL8T9Mwe7sjSU0Ir880\ncmuxhduKLazLNCLOkvirqRo9R7tpfKmeppcaCPROLWIIokDBlkKW71nB8ltXjAuZEQ6HefbZZ/H5\nxr/zooKPAakeRRgbhqNYiPLA6UEKBmKoRmgrysT/wF+xvHp+IgHMJovBVg3EVE4NxTg6GOX4YFzU\naJtmYvhRMmJ+tvma2O5tYHuwlQ3LczFdcwPKmq3zKjJeLpN5WVgzrex66AYq766+JNttMbQRnflD\nbx9zS8fb7bz1N/sYrBlIeDyzOoud39xNybWlc1yz5NGFiyTQDf3557f//Z90JFhBni2q3P07v4e4\nAIyGy449roSRu14g2v4kxBIn1UE0Ysi/BWPJRxCtizOxzpXMdNpINBhl4EwfvSd66TvZQ9/JXnyd\n05g0TIDRZiSjMnOMQJFVmTWryWw9wwF+/NojBN0nEKcQMO675rNsKq2c9HpPv/giLzUrFFuD5DP5\n4FRUVcrcXazua6Hc3Y2kTR4Cpz9sp1u047aYUbbvYNsX/mDS8rOBbsgtfVRZjoeSaj+HDzGJUFIa\n2RJsWL+eSGo8jMn85MlRUQPNKK4TKK5jqN4zoCafH0MwpSNlbBrZNiCY0qY+adp11Ai7Q3ERo82N\nt2NE3Gj34Gn3EBocnvoi08SeYyd9WQZp57004gJHapFzQeTT0IULnVH08cx4Tv3tv7HvZ1405YPf\nqskWY883VlH+iXtm5iaahuGtVzD/8p8RomMnuzVRJHbXJ4ne/SkwJJdQerYZtUMqKio4PBDl8cZh\nnmoL4YtO3Xy25Zi4t9zKXaVWCu1zH7ZWUzV6jnXT9FIDjS83EOj2J3VezrpcKvZUUrFnBenLP0jA\nvm/fvvP/HmPuQ4wBqYGwOHaBmYTGDQEftxz1YFBBtgqcLi4m70v/RIoz8/IebgGxWG1VV1jh+FCM\nNw7U8k5rkKaUPAKO6eeDNKgy6wPtXDfcyo4CK1uvXouzqnrRJPWeysui+r5V7Pyr3VjTLz1X5mJt\nIzpzg94+5h5VUal98izv/sPbE+aLWr5nBTu/cT2pxfO7IDwRunCRBLqhP3+oisLzP/8P+tWL2qmm\nscxu4sZPfGZe6pWIS+2ANSUyIlg8AbEJYvqLZoxFd2Iovg/RvHQM3yuNidqIElMYqh+k72QvvSd6\n6DvVi6thCO1SfZwBR34K2atzyF6dQ87qHLJWZpNa5JwwxNNs4w0F+fFrjxBwHZ9UwFCNOdx+9ae4\ntmLdlNd86MeP0k8qVUYXdiafQLXEwqzsb2V1fwvZwQmEwYvoCzvoFm14rBaE3Tex+VOfTuq8y0E3\n5K4sgkODHHv9t7R4/ESTCCVlUBXyTCI79tyBM3+GE8VOE02JoHrPxr0xXMdQA4ndkBMjIKZUnBcy\nROdKBHH2FyBEA9HzIkbcUyO+72lzJz3BlSySSSKtPJ2MFZlkVGTEP1dkklaWPqe5NHThQmcUfTwz\nlvanXuGlvzxONPSBYCAZFW78cgEr/+hTM3OT0DDm//5+wgTcam4R4T/4Bmp59czca4Y4UtPIC/0G\nXhiy0eSTpyy/LcfEPWVW7i6bH7FiIjRNo+9UL82vNNL0cmPcQzkJMlZkUrFnBcv3rCB7dQ5NTU3s\n37+fRPMZQfEcQ2LHmNBRAHlijAdqBintiXsAhp0i75WsZMtXf3T5D7YAWCq26sW9oKQAACAASURB\nVOChk7z041d4x1dKa24u54qz6M1NQxOnt+hA0FTWRnq5xqmwfU0JOypzybIsnN/ChUzmZWHLtnPj\n393Cspsm9oJPlqXSRnRmB719zB/RQJSjPz3E0X8/ghIZ/46XzAY2fXELm/9gK0brwlhQAbpwkRS6\noT8/yJEwT//i53i46MWvaazPzWTLPR+en4pNwHQ7YE2NxZNutz6OFh1KXEiyYCy8G2PJfbOyOlVn\nbmlsbETTNHLMOfQe74l7Upzopf9sf8IXR1IIkL4s47xIkb06h+xVOdgybTNb+RnCGwryk9f/E//Q\n0UkFDEVKZ9eGB9izZtuU12xsbuCfnj+FzSpSIbqmDCXlGA6wqaeO6oE2bHJk0rLn66RBbySFHsmG\nx2pGvH52hAzdkLty6Tl7mmOH3qcnllwoKTsK1QX5rLt5DwbzpYd1mym0qAfFfWJEyDiOFulP/mTJ\nhpR+VVzIyNw0Lx6FsVAMT6sbd4sLd7P7g/0W14yGnxIkgbSydDIqxgoa6cszZmWAoAsXOqPo45kP\ncJ+u46nP/C+BwbErirc/ILD1e38+I/cQ2xux/OhbiH2d447Ftt9E5He+AtaFYatpmsaxwRiP1AV5\nqiVI5OIFYxexOt3AAxU27iu3LSixYiI0TcPVOETTy400v9LIQE1y76fUolSW71lB/q5C3m87SDgy\nPvyoJvroFseHjhLR2Bnyc/thN8aRoAHeTBPvlq3nuj/5+8t+pvlkqdmqgbZODn7rEVqOGXAPO+gq\nzKSjOItzJdmcK8okYpl+SMgqY4hrSlLZUeTgmjwz+bb5/Z0oUYVD//oeh380sZfFrod2Y0m7dC+L\nC1lqbURnZtHbx/zj7/bx7t+/Td3TNQmPOwpS2PmN66m4vXJB5PnThYsk0A39uScc8PPU448SFC5a\nlahpbF9Wwpqb9sxPxSYh2Q5Y0xTk3jeJtT6KFu5NXEiyYiy6C2PxhxFMC89VSyd5lKhC/5k+eo50\n0bC/AfdZF1F3cpPlFyMaRDKrsshZk3tepMhamY3JvrBjrCciEArxo73/iW/wCCITh3CSxRQ2rrqX\n+zfflNR1H3/mGd7oECmzBsglsRvkKKoGpsAw6zsbuNpVh0lLPvatpkFfxEGPaMNttcA1O9n6e59L\n+vyJ0A05HVWWqdn3OjWtbXi1qUNJoWlkSxrr111F2Zaphb65QNM0tFDXSJLvYyjuk6CEkj5fsBYi\nZY6ElUpbh2CYmYH0paBpGsMDw3haXbhb3Lib42KGu9WNt92TcALgkhDAWewc8dDIPC9oZFRkXlYe\nDV240BlFH8/EiXh8/Obu/8dA+9i8Biuv83HLo9+ekXsYDryE+Rf/hBAb6w2qmcxEPvVnyNftWRBh\nZYIxld+0hviPuiAnhyb3XM2yiNy/zMrHK2ysy1x8dueFeDs8cU+MVxrpOdqd1Dm2bDuWO2yECiPj\nJ3E0GY+xHp8w3qsjS4zxQMMQy899YPt3Zzs4vHwzN/7Bw5fzGPPGUrVVIx4fR775IxoPRvH2xZO3\nqwIMZDs5V5xFR3E254qzcGWmTPvay1IkduSZuTbPzM58MwVzKPhN6WXxtzez7OaZza+zVNuIzsyg\nt4+FQ+/xHvY9vJe+E4nnJQu3FbHr4RvJXpk9xzUbiy5cJIFu6M8twaFBfvPkk0QuDpuhaexeu5KK\n7dfNT8WmYKoOWNM0lIF3iLb+Ai3YkfgikhVj0d0Yi+/TBYtFSsgdoudoNz1Hu+g+0k3fyd5L9qZI\nW5ZO3lX55F6VR976fLJWZmOwzH8+l5kkEArx4zf+C+/A4ckFDMFCdcXtfHLbnUjS1MZ+MBDguz9/\nFreYQpVxCBuT/x+ENQklGGNdex1behrJt0yd3PFi+sIjQobFjLxpM9u/9KfTvoZuyOlcyLDHzbHX\nXqHF5R3/TkyAQVUosVvYtPsG0gpL5qCGyaGpMVRvLYrrKMrQkemFlRIMiM7V54WMmUryPRMoMQVf\nh3fEM8M95nMm82k4ClLIHBExMquzyKrOJmNFZlIeGrpwoTOKPp4BRZZ57t6H6DidPub7olVu7n3+\nW0iXmzNPljH96seYXntq/L2Lygn/4UNohWWXd48ZoGdY4d9rAvxnfRDvJLkrjCLsKbbw8QobNxdZ\nMM5TuNHZJNgXoPnVJppeaaTzvY4pxWixSMJ0nw0xdbxnpCqdo1MYHzpKQGNbNMidR1zYIvFjKtCU\nl8nJ6i3c9rtfn7HnmQuWuq2qyDInv/MTat8YYPAigRMgYLfQXprNueWZ9CzPpC0tZ9r3WOE0sDM/\nLmJcl2ciYxZCSylRhUM/fJ8jPzqIKo8fY1V/aBW7Hp45L4sLWeptROfy0NvHwkJTNWp/c5Z3vneA\n4YHx4xdBFFj7yavY/ufXzEp/kQy6cJEEuqE/d3i6Onj6hZeQL5qgETSVPdu2ULRu4zzVbGom64AV\n92mizY+g+uoTnyya4h4WJR/VBYtFhKZpeFrddB/poudIN91HunA3uy7pWvYcO7nrPxApctfmYnbO\nf/iXuSIcjfCTNx9loOcdJCb2fFAwUVyym8/tuh+jlFxYldr6s/zg5XpSrRrLRRdTRa51Y6E/ZOLa\n9kOs6T5HgRokxzK590YiBsJ2ugU7bquZyLr1XPPlqcNP6IaczkT01Z/l/QMHGFRF1KniL2saNk2h\nqiCXdTfeislmn5tKJokWdaO4jiEPHUVxHYNYcnlnYG6SfM8EYU8IV6MLV9MQQ41DuEc+ZyyXhgDO\n0jSyqrLJrMpk+59fm7CYLlzojKKPZ2Dv7zzEmX1jV0tnFvv5yDN/iiUrY4KzkiTgxfLDhzHUHh93\nKLbrTiKf+BLMc1i/s64YPzwb4MmWYWITrxUh36zy+TVpfHKFjRzrwg8FNVOEPSFaXm+m+ZVG2v9/\n9s4zPK7qXNv3nj6j3nuxiiV3y73i3ug9JLRAkpPwEUJCSE4InYScQEJOElIh4EOA0MGmuuCCLRs3\nuTdZzWqWrT5q03b5fshNnqJRtcq+r8t/9tp7zxprzWrPep93y0kkh5f5qFnAeI0Z7Uj3eaig2Kg3\nHKIZd4vBII3EtacamHSs9fxcVBQ0HI6PY29aBrd+9+le/DZ9x3Caqx776+scWpVPVUEIKJ6HU2ew\nFudUI00jo9hjiWVfYCpyZ5afFyEAY8P1zDsrZMyMNRCk71qejUupPnyG9Q+vofZYjVtZX0VZXMxw\naiMqXUdtHwMTR5ODXX/+mv0r93oUO02hJmY+PIex3xqPRtuzPqqrqMKFH6gT/f6hvrSEVWvWIV2y\nIaNRZK5dMJ+ozKzLVDP/8NQBy62lOIteRard6fkhQYsufgX61NvQGCP7o5oqPUBRFBoK66nYUU7F\njnIqd5Z7VKU7Q2/RtwsUOXHETIgjdmIsgbFdDzseirgkF69seZ+y0o1oPSz6ziGhJSpuNvctuAOT\nwej3+1e+9wHbT+tJMXVuJQVQqQRRabcwp/UwY04cI9Tu6LaQUeuwcIoAGkxG2rKymfvIY273qBM5\nFV8UFBQgSxJyVQWHCwtp9NNKKlKjMGHsGFKnzkTjR8RSf6IoMnJLMVJdHlJ9HrL1CPht23Z5knz3\nBEezg4aidkGjvuDCP2u5lU7S8/jkwdKHPV5XhQuVcwz39cyeR//ItjddHTYfA8Lt3Pjq9YTnjO3R\nuzXlxZj+9CiamqoO1xWDEce9P0Oc6Z/dZV+gKAqbTjn4y+EWNp7yblUqAEsTjSwPtjIzTCZ75PCe\nhzhbnZRuLqFwTQEnNxbjbHGfk+qmG9AvNCFoO3aziqSA4QTlQk37f+wlZGLn5gN1RNdfiAZ2anTk\nJaSyOymSm7/53wQHh7k/OEAYjnPV0g/XsG/lVsqPhiCLnjfsBI1MYkYj46aZqDJArhLFltBs9gSl\nIXZhbqITYHKUgblnhYxpUQZMOv+GclmU2f3XHez6845+j7K4mOHYRlT8R20fA5v6wjq2PLOJ0q9O\neiyPHB3F/KcWkjA9qd/qpAoXfjDcJ/r9QW1xAau/3Oh2OkEnS9xw9ZUDyvLCGxd3wLKjDlfx64hV\n68Cj/Y2ALnYR+hG3X5YkpCr+calQUbGjvFv2H4GxgcRNSUCfoidsTASTlk1Go+tflXqwIUkSb+74\nnGOFn6FTvHvjy2gIipjE9xZ8m4hA/8Wf1pYWnvv3KqoJYaS+niAfIkn750CRHI7VLvDduUlIO3eh\n3bXjrJDRRrSxpct21fUOM5UE0mAy0JKWzhVPPKNO5FR8cmn7sDdZ2bd+DYW19dgFbacihlaWSLIY\nmXzFfMJTRvR5fbuDIrYhNRxot5Wqz0OxVXX+0Dm0FrRhE9FGTEEbMRWN6fL6sXYF0e6ioaiBuovE\njPrCOhpPNviVR0MVLlQ6YzivZ06++xmfPXYI0XFh81BvElnx9BhG3HZNj96t3bMF00u/QbgkcbMc\nEYP9wV8jp1ye8VxWFD4ptfO7A80crveevyLcqOHukRbuzgogNUinzkM8IDpEyreVUbSmgOINRR3W\nApqEs9ZRIR7m9S2NNIYfocnDXohOUFjQ3MSSvY3nk3cD2HQGdiZmkRcfyJRpy5icM78PvlHPGM5t\npObrPHb/4SNOHgrAZfMe+R09wsrEWYGMH6nHlbednZoYNoeNZlPoaHYHpyMJ/h8iMWlhVoyRBQlG\nFsabGB2m82iZ2VDSwLqffM7pfe7zpv6IsriY4dxGVDpHbR8DH0VRKNlQzJanN2Its3q8Z+S12cz5\n5TyC4vr+AK4qXPjBcJ7o9wfVJ/L5ZPNmN9HCKEvcdPPNBEQMjkiEgoICBNlOsn4vrrIPQfZ8qkkb\nOQtD+t1oAlL6uYYqnaEoCvUFdWejKSq6JVQIGoHI7CjipsQTPyWBuMnxBCUEIwiCOkh3k/fzNpB3\n5CN0sneLFQXQBWZy5xX3kh4d36X3n6qq5H/eyUVjMjJSW4fBR64NAAdaTkgRCA47j90xn6iIGHa9\n8i/YvoVQm4M4qY0YYzNdtYJucJipJIB6o4mWpCQm/+wXBISo1nEqF/DVh9QU5JO3PZdKh9i5RYGi\nYFYkMmMiyVmyAkNAYF9Ut1eQ206dFzG6nOQ7IAVdxBS04VPRhI5B0PhnLzeQkJwSjScbqDtRS11+\nLXX5ddTm12AtbewQoaEKFyqdMVzXM63llbx74ys0VVvOXxMEhbn3mMl58ofdf7EsY1j9GoZVr7kV\nSVkTsP3waQjufys7SVZYfdLG7w40c6zRe36v9GAt/29MIN/MsGC56DCNOlf1jSzJnN5XRfH6QorX\nF7VbxJrAcKUZ3Wj3pOVKk4QQeIgKYzOyh/CLSI2Lm4rryS7pKHw1G8zsSB7DvphgwkKM3HjdgxhN\nA8NCVm0j0FR4kl2/WknxPgM2q/fI77D4FkbOsjD95imY875Cu287LYqWrSFZbAwby+bQ0ewPSu3S\nZ8eaNcyPN7IwwcSCeCORJg2H3zrIlmc2Idrcf/NZ149i/tML+9WbXm0jKr5Q28fgQbSL7Hslj10v\nfu2xf9Fb9Ex7cCY5905Ga+i7qH5VuPCD4TrR7w9OHzvMp1u3oVyyyWKWRW6+/Q5MXThBfTlRFJnK\n/W8SbP0Erdzk8R5N8CgMGd9FGzqmn2un4gtrWSNluaWU55ZSsbOiy0KF3qIndlI88VPiiZuSQOzE\nOIxBniew6iDdM9Ye2cnmvW+jleo9Rd4D7ft4iiGOq2fcycy0rv/Wtu3czmtfnyHMLJPmRz6MJowU\nuMKI1TTy1A/uPH897+03EdevI9RmJ1ZqI87Ygkbo2lBidZqolAOpNxlpioxk8hPPqELGMMefPkSW\nJAq2b+Hw8Xzq/bSSChdkxo8aRfrMOQPOSupi2pN8Hz2b5Duva0m+tWa0YTmDMhrDE642J/WF9dQe\nr6HueC1XPLHA432qcKFyjuG4npFEkVXXPEnF0Y62O+MWtbLw1Se7/2KXE+O/nkO/Y4N70cLr2vNZ\n6PpXKBVlhQ9LbPz+QDMnrN4Fi5kxBu4fE8iKJBNaDycs1Llq16gvrKN4fSGF6wqoleswLDUjGC6x\njpIVlNI6HNlHqJE9j7ETpDZu2FtHSEvHwzNWYyA7k8ZyIDoKjb6OeXNvITszp8++jz+obeQCjvpG\ndj3+Vwp3SR3E0UsJjLCRPllhxiN3EFR8AF3uGrQl7bkva/WBfBXaHo2xMWwMJyxdO4CV0tJK0v5S\n0otOk1xWg05qb0PmSAuLfrOE9GX9/3dS24iKL9T2Mfhormpm2/9sIX/1MY/lYenhzH9mEclz+uZw\ntipc+MFwnOj3B6cOH+Dz7TvcRAuLLHLLHXcO6BOgFyM1HMJZ8A+vGyiCJQFD+r1oI2d5DOtU6V8c\nVjvl28soyy2lbGtp+6nVLqAP0BM/JYHEmUkkzkgmamw0Wr1/G33qIN07bCs8xGc7/43GVe1TwJC0\noUwfewPXdzPM/vUPPuSrSh1J5jbi6Tyh7mkCKbMHMj6klQfuuq1D2f4PP8Dx+SeEtJ0VMgzNaDVd\nG1paXQYqpUBqDSaagoMZ+eOHic7sn5BvlYFBV/sQe0sz+9d9QWFNHTa/rKRkEkx6Js+dS2TawO+n\nepTkewhEY/iDKlyonGM4rme++v6v2L+m4ynjxNENXP/J02h13cyH09aC6cUn0B3d2+GyotXiuPNB\nxAXXdre63UKSFd4vsfH8/iaKmjznBxKAa1JMPDA2iKnR7lEBF6POVbtPa00reR/v4Xh9PkKoe9cr\nVYrozIc5E9eEXXY/GmMSZJbVW5m7v4lLVxaNpnYB40h0Ei5tLTERodx8/YN99E18o7YRdySHk33P\n/I3jXzVQV+794KUx0MmICTamPXI7EWEGdLlr0W1fh8bacP6eCmM4m8+KGBtDx1BhivC7HnqXSOrJ\naqZqXfzXvWOZkBp0WfYf1Dai4gu1fQxeKndX8NWTG6k5Uu2xfOQ1Wcx9bH6v529VhQs/GI4T/b6m\n/EAea3fmoVwykAYoIrfedQ+6ARIK6wvZVoWz8BWkmlzPN+hDMaTdiS5u2YBPFjqUkZwSp/edomxr\nKWW5pZw5cBpF9v8nrQ/QEz81sV2omJ7UJaHiUtRBunc5WFnEe1tfQ7GXehUwAETBRFrqYu6dcyPa\nbp4m/9VLb1LhCibT0EAI3pNbnqNMCeG03cS8JIk7brjBrfzwF5/S8sH7hNjsxLraiDd2XchwSFoq\nnUHUGMxYLWaiv/0dMmbN7tI7VAYXPelD6koKydu6hQqbC0nTuZWUSZHIjIpg4tIVgyL6sT3JdxFS\n3R6kut3I1uN4zjHlgSEWjXExqnChco7htp7Jf+lt1j1X1iGRbnB0G7d++B0CkhK69U6hvgbTH36B\ntrzjYSU5KBT7A88gZ43vUZ27gqIorKtw8HSelaMNniMsNALcPMLMTycEkRXqnzirzlV7jtPp5JPV\nn1DfWO9WprgUxD1WdHP2U+5lfZgoOLn5WB0pVe7519oFjHEci07FoWnBoK1j+ZLvkJSY3uvfwxtq\nG/HNkT/9H4c/KeR0gXerOJ1RJHlMM1PuX0HcghloD+9Bt3UNun3bEMQLOWkU4IQ5jvXh41gfNo7N\nYaNp1fq/TxJv0bAgwcTCeCPz441EmPonqlZtIyq+UNvH4EaWZA6/dZDtz+fisNrdyvUWPdMfnMnE\nXrSPUoULPxhuE/2+pmzfbtbu3ud28jNQEbnl7nvQGQe2aKGIbbhK38ZV9hEoHpLdaQzok29Cn3wL\ngs57yKhK33AuoXZ7RMVJKnaU42r1npTwUjoIFTOSiB4b02uJtNVBum+oaKxl5aaV2K1H0OC9u5bQ\nER4znR/Mv5NAc/d8XmvqzvDsG5uQjGZGausw4fl04zlk4KQSRq1Nxw1jLVy5aKnH+/I3bab+P/8m\npK2NGNFGgqEZncbPTdeziLKGKkcgZ3TtQoZp6XIm3Hpb5w+qDBp6ow+RJYninds4ePQodbJ/VlJh\ngszYkZmMnDN/QFtJXYziakaq34dUtxupfg+Ks6Hzh84ylKIxVOFC5RzDaT3TeKSA9+94h9b6C2sK\nnVHkql+PI/XWq7r1Tk1FCaYX/htNfcdThnJsEraHn0eJiutRnbvC7monT+6xsv2M+8Y2gFaAW9Mt\n/HR8IBkhXeu/1Llq77F3717y8vI8lkmFLjS2QlqmnqFBchcwBBRmOFu4ek8DFof7T7fBFMTOpLEc\nj05FFCQkTTVJsXFce9X3e/17XIraRvyj5J1P2f/vr6k4FoIseV5LClqZhCwrOd+cQtpdN0BLE7qd\nG9FvXYO25Ljb/cVNEbzYvJT9SSMoSo+lKj7c7SCoNwRgYqSehfFGFiSYmB5tQN/VhHx+orYRFV+o\n7WNoYKtvY9tzWzny9iGP5eEZ4cx/ZjFJs5N7/FmqcOEHw2mi39dUHNzLFzv2uG2UBCsSN337HnQG\n78mtLjeKoiCd2Yyz8F8ozjqP97RZJhEx4UE05ph+rt3wxtnqpHxbGSc3FXNyUwktVZ3b+pxDo9cQ\nPzmBpLkpJM9OIXpc7wkVl6IO0n1Li83GPze/Qd2ZHWjx7u8sI2AMHs09C+4hKaz7J6v3HtrLSxtL\nCDIJpGvq0foQTQBEBIrkcJptcM+ceGZMmeF2z7k2ItRUU/3aq4S0thHpspOoa8Ko8y2SXIqsQLUj\nkCqNhUaTEXHiJGY++JMuvUNlYNHbfYizrZUD69dw4nQ1bX5YSWkUmXijjskz5xA9MqtX6tAfDOdo\nDFW4UDnHcFnPSA4n71/5DKcLO552nnajzMz//Xm33qk5fgDznx5FaGvp+FkZY7D9+FkI6p8k3PmN\nLp7Ja+KzMvcTjgA6AW7LsPDQ+CDSgrsX7a3OVXuXhoYGPvvsM2w2m1uZYldwrG3BsuQgFaEyouLe\nXQdoJJbXNDLzYIubfRScFTCSx3I8KhVF0OAUGjHqGrly+feJj+35ZpEn1DbSNaq37mLXH1dTdjgI\nl9377zIm3cqY5cmMfugetDodmooSdNvWotu2DqWhgdzSTLaVZqJcFGfeajFQMiKG5pxADqZnckoI\n8LtewXqB+fFGFieaWJJoIs7SewdT1Dai4gu1fQwtqvaeYvPjG6g+fMZj+chrs5n76Lwe2UepwoUf\nDJeJfl9TdeQQn2372u1UQCgSN93zXTTd9ZrtB+SWkzhO/A258aDHck1QJtXmq3Ea09QOuJ9oKGlo\nFyo2FlO5swLJ6f+mbkRWJMlzUkiem0LC9ET0Ft9+v72FOkj3D5IksXLbRxSVrEeneF7cw9lE3sZ4\nrpz6LWZnjOvRZ3702Wd8XiQSbXKSKnTus+9EQ4EUgdMu8pNrxpOZPhLw3kaqCwrJ//MLhDRaiXA6\nSNQ2E6D3fNLSF7UOC1UE0GAy0JKUyuSHf64m/B5E9GUf0lB+krzNmyhrcyBpOlm8KgpGRSYjIoRJ\nS1ZgCumfTbveYjhFY6jChco5hst6Zv2dT3J0S8fF8YiJDVy7+tluvU+7azOmfz7bwb4FQJw0G/sP\nHod+iBSvtUv8Oq+Jfxe04cntVABuSTPzy0nBpAb1bD2lzlV7H1mWyc3NJT8/32O5oU2PvqwW64R9\nnJI9//3itC5uOFFHZplnu9J6cxA7k8aRH5WCImiQcCFpzhAfE80NV9/fa98F1DbSXawnitj1zGsU\nHzBib/J+WDM8oYWsuUHkPHUferOFhoJq1t73IWcKWtzvNbdw3ah9xAdbUYBjlgTWJc1mXdJstsqR\n2LoQvD02XM+SBCNLEk1Mizag60E0htpGVHyhto+hhyzJHP7PQbY/vxVHk/s4pQ/QM/3BWUy8d1K3\nbNdV4cIPhstEvy85k3+ET77KdUvEHYbEjQNYtFDEVpwlbyBWrAbFfeQXDBHo0+9BF7uQwsJ2v1u1\nA+4bRIdI5a4KTm5sj6poLPF/o8kSFXBeqEiak0JgzOVJ/K4O0v3Pqn2b2Xn4I7RSo/dE3gpI2iBG\nZ67gW9OWdzsPxjlefvs9dlYbSTS1kSB0Hv1jQ0eBGI7Gaeebs1OICInotI20Wq3k/eopgmuqCXM4\nSBBaCDV4F2m80eQ0UiEHUW8y0BQeSc4jjxIUrUaMDVT6qw8p3pHLgcNHqJUFv6ykQgWZMelpZM9b\nNGispM4x1KMxVOFC5RzDYT1z6PmX2fT3BpSLEh+HJbRw68c/whQZ3uX36TZ/ivH/XkC4ZC3rWngd\njjt/BJ2JvD3EJSu8fKyV3+5vosnp+c+3OMHIE5ODGR/RO4dw1Llq33Hq1CnWrVuHy+VuYSsIAhPG\nTqD44HuUmk7RLHtuW2MFG9fn1RFh9Xxgq94czM6ksecFDACnYEWvqWfx/DtISxvd4++htpGeYa+t\nZ9fjf6Nwt0xzjXdb6aBIGyHROqqKjEgO93nJ5PiTLEo/il7rec7iEHRsGXcl69MX8iWxHGzw/5Bf\nsEFgYbyJxYlGFieYiO1iNIbaRlR8obaPoUtbXRvbn9vKkXe82EdlRjD/mUUkzepaRKAqXPjBcJjo\n9yW1RSdYvWET8iWiRQgSNw9Q0UJRFMTTG3AVveL5JKagQ598I/qUbyLo2r3y1Q6492muaj5v/1Se\nW4qrzb9cFTqTjoTpiSTPTSV5bgoRWZEIfvp/9iVqG7l8bC86zGc730BwVvlM5H0uD8b35t9OiNn/\ncGtvvPDqf8hvCyLF2Ew0rZ3e34yBQlcYgVILj969nJBg/zdatjzzBAHFxYTZHcQprUSZ2rpcX5uo\np1IMpFZvoinQQvRd96oJvwcQ/d2HiHY7B9Z/QX7VaVrxz0oq1qBl8vQZxI4a2y917G2GWjSGKlyo\nnGOor2fqDx7l/ds/wnbRSWaDxcX1f5pN3NIruvw+/foPMb7xZ7frjpu/i+vq2zsXdXvIxko7j+y0\nkm/1bH05OVLPk1NCuCKud2121blq3yKKIuvXr6eiosJjeXBwMDOmTGBj7nOUKhKSh1mrXpCZ5Wpl\nxdf1GL04ozaaAtmdOIZj0SPOR1HKiIiaaiJDLFx/9QMYTd2LFlLbSO8g5mgHnAAAIABJREFUOZzk\nPfkX8rdaqa/w30LFEhXAkt8tY8RIDfrctei2r0PT6NnG+hyKycypactZn7WML+VoNlQ6qLH7H44x\nPlzP0sR2IWNKVOfRGGobUfGF2j6GPlV7T7HpsS+pOVLtsXzktdnMfWy+3weKVeHCD4b6RL8vqSsp\nZNX6DW6ixUDOaSG3luPI/wty4wGP5drwSRgy70MTkNThutoB9xxFUag9VkPRukKK1xZSc9RzR+eJ\nkJRQRixMI3XBCBKmJ6EzDTxBTG0jl5+i6lO8vmUlYksBgo+cFAoCusAMbptzF9m94BHc2tLC715f\nTZUcTLqhkTA6j46ox0SxM5RwpZnHvn0tAYFdixTa8fe/otm9k1C7g1ipjVhjM12N+j6X8LtaZ8Zq\nNiJPmc6M+3rXckDFfy5nH9JYWcbezRspbbEj+nHK2CBLpIUFM3nxUizhkf1Qw96nd6IxpqKNmHLZ\nojFU4ULlHEN5PSOJIh+seIqqEx1t6+beY2TSUw90+X36z97C+O4/O1xTtFoc9/4Mcc7yHtW1M4qb\nRH65y8qacs/zhPRgLU9MDuHaFFOfHMpR56r9Q1FREZs3b0aWPUT0CwKTJk1CsVeyu+htKj0k7wYI\n1kgstTYzI8+K1suvu9lgJi9hNIdiMxC1F97jogWttpaZ069m/JiZXaq72kZ6F0kUOfqnf3Pk8xLO\nFPq2b7WEOln+7BySrr5IjJVEtEfy0OWuQbc3F8FDRM/FyNHxOGYvZ8+4paxvtrC+ws6eGlcnmfou\nEGoQWJjQnhdjUYKRaLP7nFBtIyq+UNvH8MAf+6gZP57FhHs6t49ShQs/GMoT/b6kobyMjz7/AknT\nUbQIlEVu+fY96PrBE7YrKJITV+k7uErfBcVDCK8xGsPI76ONnOVxoaB2wN1DFmVO7a6gaF0hResK\naa5o8us5jV5DwvQkUheMYMTCNEJHhA2IqApfqG1k4GC1tfLKV29Re3oHWrxP8BVA1kdxxYSbWT7W\nPZl2tz67qZ5nX/uCFm0QGfoGgug8V0U9JkpcoYTJTTz27eu6LGIA7P/wA+yff0yIzUGMy0a8sRmd\npgvmt2eptVuoEgJoMBppiYtn8iOPqnky+omB0oeU7tnBvgMHqZHwy0oqWJAZk5rC6AVLBmSUpb/0\nJBpDEzgCbfjUdkupkFEImv75f1CFC5VzDOX1TO4Pf0PeJx2tkjKnNXLle7/u2osUBf3qf2P8aGXH\nyzo99h8+jZQzq6dV9YpNVHjhQDN/PtyM08PQHKwX+NnEIL4/KhCDtu9+1gNlnBkOOJ1O1qxZw5kz\nnhOahoSEcOWVV7L5ixc5YT9MgxcBI04rck2llezjLQhefuVtOiP7ErI5EDcSh+7Cb0VGwiXUEhoA\nt9zwsF9RGGob6Rskl8QX966kaEsD+IgP12hlErKt5Nw1gxG3XdOxsLUZ3c6N6LeuQVt8zOfnKYKA\nNHoS4twVnBk9i421sL7SzoYKB3UerKm8kROpZ3GCiWVJJiZF6tEIgtpGVHyito/hRVtdG9t+u4Wj\n7x72WB6eGcGCXy0icab3w6KqcOEHQ3mi31dYqyr54ONP3BJ8WhSRb9x1D7puhqb2FVL9fhz5L6LY\nKt0LNXr0ybegT7kVQeu93moH7D8um4uyLScpWldIyZdF2Bv98+YPiAk8L1QkzU7BENg/SbV7C7WN\nDDwkSeLt3Ws5fOJztFKzzz1YUTCTmrqAe+fciF7bOxYwp6oqee7dXGSDiUxdPWa8xPxfRAMminso\nYgCU7NpF1Sv/JLi1jSinnQR9MyZd559/KS0uA5VSEHUGI81BgYx44MfEj+q5h7KKOwOtDxEddg5+\nuZb8ilO0CJ1bSQmKTKxew6Sp04gfO6Gfatk39CgaQxeANnzSWSFjMhpjRJ/VUxUuVM4xVNczlZ9v\nYvVPduKyX9jUDYtv4RtfPIQxNNj/FykKhvdexvDZfzpeNhix/+jXSOOm9laV3dh8ys5D2xspbnb3\noBeAOzItPD452OPJ5t5moI0zw4ETJ06wdetWr9EXOTk5jM4eyYcf/DcnlWbsisb9PhTSBYlrS+pJ\nLLUheBmOHFo9B+JGsjc+G5uh47rWRRuCpoaRGeNZNO9Wr/VV20jv01jayJoHPuXMgdNdei42o5Gx\nV6Ux5qF73cqEU6Xot67xz0rKHIA4bQGuK1bgGjGK/fUi6yrsfFlhZ2+t/9EYUSYNSxJNTNA1MC1U\nImeU2kZU3FH7kOFJVd5Z+ygvriojr81mxYtXeyxThQs/GKoT/b6irbGBd995B9clooVZFrn1zrsw\nWHruG99bKM5GnIUvI57e4LFcEzYJY9YP0VjiO32X2gH7pq2ujZINRRSvL6Jsy0lEe+cbpIJGIDYn\njtSFaYxYkEbk6KgBH1XhC7WNDGy2Fx3ms13/QXBU+syDIaPBFDKa2+feQVpkXK99/rH8I7z4xVEM\nJj2Z2joMfmyCnhMxQqUmHr+n+yIGQHP1Gfb/5hmCGhoItzuJ13Qv4bdL0nDKGUS1vt1eSr94KZNv\nu73b9VK5wEDuQ5rOVJG3YT2lzW1u478nDLLEiNBAJi1aRmDkwEtq3VV6FI0RlHHWUmoqmuAsBKH3\nNidV4ULlHENxPeOytfHOkueoK7/gD6/VS1z923Gk3nyl/y9SFAz/+QuGdR90vGw0YXvot8jZE3ur\nyh2otUv8cpeVd4tsHsunRxv47fQQciL776DOQB5nhjJ2u501a9ZQU1PjsTwwMJAVK1bQUH2SjTv+\nQKncbmt6KUZBJl3UclVJDXGnWhG85GN2abQcjslgT+IoWowd1+YKCk6hAZOuiWWL7yUpMb1DudpG\nepdjHx5h02Nf4mq9JAJcgHG3jsRVsZuTB8zYW7z3AxFJzWRdEcqkJ+9Ha7zkPklEezgP3dYv0O3b\nhiB2YiUVl4RrznLEWUtRwqOotUtsqHSwvsLOhko7DQ7/hhKdoDAnzsSyRBPLk0yMCB68EbcqvYva\nhwxfZEnm0JsH+Pp3uR7tox4sfdjjc6pw4QdDcaLfVzhbW3jnjdexX2KBYJJFbrn9DkyB/iee6kvO\nJd92FvwTxGa3csEQhiHjv9DGzPd7o1ztgN1pOd1M4RcFFH5xglO7K1Hkzn9KWqOOlCtSSFuawYhF\n6VgiLP1Q0/5BbSODg/KGGl776t/YGg+j8SEetNtIRTN73HVcNX5Or3z2uTZSZ63j/3JPYTELZGjq\n0fstYoQQIjXzy7tXdCmxtze2/vppzIWFhDocxMptRBtbupwnQ1Gg2hHIaY2FBqOBtrQ0rnjimR7X\nbTgyWPqQ8v172Ld3L9ViuxWBTxSFICRGJScxZuGSAZn7qqucj8aobRcxuhaNEYQ2YjK6iKlowycj\nGEI7f8YHqnChco6huJ5Zd8cTHNvaMapi/JI2FvzrCf9fIssY//1H9Js+7nBZMQdg++lzyJlje6Oq\nHd+tKLxZ2Mbju60eNwFjzRqemRrCLWnmfj+wM1jGmaHKsWPH2L59u8foC4AxY8YwY8YMtm98k/2n\n13BG9LwZHKKVSBaDWFpcQXxVMxove9WSoOFY9Ah2J46m0eweoSQj4qKGyBATN1z7I4wmk9pGeglH\ns4NNj31J/ip3S6fA2ECW/u+VJM1qt06xVdew87F/ULQHWurMXt8ZFNVGxjQt0565D1Okh3VASxP6\nHRvQ5a5BW5Lvs36KoEEaOxlx7grEnNlgMCLJCnm1TtZXtAsZ++t8iyAXMzJEx7Kkdkup6dEG9F1d\nUKgMGdQ+RKWttpVtv93K0fc62kepwkUPGIoT/b5AdDp4b+WrtFwiWhhkiW/cdhumkJ4tvnsL2V6N\n8/ifker3eCzXJVyFIe0eBH3XTi6rHXA758SKgs/yObXbg/WWB4whJtIWp5G2NJOUK1LQWwaXBZS/\nqG1kcOFwunh56ztUVmxBp7ifCLgYESOx8TP5ztzbCDR7X1B0hqc2smPPjvMiRrqm3q9IjEZMFLlC\nCZaaefTu5b0iYsC5PBmfEGKzEym220sZtF6O8/nA6jRxSg6g3mCkOTiItB8+qNpL+cFg60NEp4Mj\nG9dxrKyCZvyxklKI1gnkTJ5E0oTJ/VTLvkdxNSHV5SHW7UaqzwOX1c8nBTTBIy9EYwRlIgjuFiG+\nUIWLwUtWVlYU8ARwAxADNAK5wK/y8/P3dvV9Q209U/DKO6x5thRZuvCbiE6zcuv6J9H6m0tHUTC8\n+SKG9R92vBwQhO1nv0Mekd2bVQagyCry4PYGck+757cSgO9kB/D45GBCDF37rfcWg22cGYp0Fn1h\nNptZunQpYWFhfPr+0xSKJ2mSPEfqRWpFkpUE5hYVklxVj8bLdFZGoCAyibyE0ZwJ8mxf6JLbwFlH\nYmoGo7Jnqm2kB5zeV8WaH32Ktcx9PpC2NIPFzy/DHOa+nnDZ2sh74m+cyG2h4ZT3vQpziIMRExxM\ne/xuQkame7xHU17cntB7+3o0Tb6jRBVLIOL0hbjmrkBOyz4/n6u2SXxZYWd9hYMNlXaaXP4NMyEG\ngUVn82IsSTASbup7GzyVgYM6zqic41L7KFW46AFDbaLfF8iSxIevvkwDHQcdnSxxy403EBgVc5lq\ndgFFkRErP8VZtBIk95BsISAVY/aP0IZ0b/NsOHfA3RErghKDSV+aQfrSDOKnJqLRXZ4FWn8ynNvI\nYGf1/i3sOLwKrVjn00ZKQUATkM7Ns77F+ATPCwVfdNZG2kWMSsxmDRl+ixhGil1hBElNPNpLkRjn\nqC4o5MQff09wUxPhTgcJmhaCDL5FHk+4JA1VziCqdWaazAbkKdOZcd/9vVbPocJg7kNaas6Qt2E9\nJdYWv6yk9LJESrCFKQuXEBTTe5ZslxtFkZCbC5Fqd7Xnxmg+4f/D+pD2SIyIKe3RGPrOo1hV4WJw\nkpWVFQ3kARHA34EDwEjgR4AOmJ2fn7+vK+8cSusZ2+lq3r7mHzRVX4jKNQa4uOnlJUTNnuL3ewzv\nvYzh0zc7XJODQrH//PfIyRm9Vl8AWVF46VgrT+9pwia5/ylGh+n406wwpkZf3sM7g3mcGWqcOHGC\n3NxcJMnzAZG0tDTmzZtHa1MDqz/5JSex4/KQ/wIgXiuSap7EhCM7Sa+qRuvZnQyA8uBo8hJHUxIW\n7/HAgYKCw2FF19TK0uW3kT6p9wW+oYosyeT9Yzc7/rANWew4h9cadVzxxHzG3T6h00grSRQ58vtX\nObK2nOriEK/36U0iKeNamPaT6733jaKI9tAu9Llr0O7bjiD5tnOW4lMR5y5HnLUEJfSCyOWSFb4+\n42RtuZ1Pipsos/m3ttcIMC3KcD4aY1SoblBbQ6t0jjrOqFyMLMkcen0/21/Yxn2HHvB4jypc+MFQ\nmuj3FR+/+jJnLplTaRSZG1csIywp9bLU6WLk1nIcx/+IbD3iXqgxoB9xB/qkGxE03fdeHG4dcHfE\nisjRUWfFisxBn6+iOwy3NjIUyT9Tztu5b+JsPo7GR6o6BZC0oYzPWsGtk5eg1fp3kqgrbWT33t28\nsqUMs0lLhrYeA51HPlgxUuwKxeBq46GbZpGcmOxXvfyl1Wpl7/P/Q0BlOaF2J7FKG9Gm1m69q85h\noQoLjUYjTeFh5DzyOEHRl18Ev5wMlT6k8uB+9u3ZzWlRRuksgkBRCEQiOzGecYuWoTOafN8/yFCc\nDYh1eWdzY+SB2OLnkxo0IdloI6a1CxlBnjdZVeFicJKVlfUS8D3gpvz8/A8vun4dsAp4Lz8/33v2\nXA8MpfXMJ9c/SvG+sA7XZt4mMO25n/r9Dv0nb2B8/18drsnBYdh+8b8oCam9Uc3zlDaL3J/rOcrC\nrBX474lB3D82cEBYpwyVcWaoIIoia9eu5dSpUx7LdTodV1xxBenp6Rzfv5Xcgy9RJgse818IKCRr\nFLJiV5C481NGVVWha/XeLdRagtkbP5rj0alIXg4cSIoLZ30TxlqYN/8aRszLwBg0+C0f+4KW082s\n/fHnVHxd7lYWkR3JihevJmJkZJffW/h/73Pg7X1U5oegyJ7nVBqdTOIoKznfnu07/09zI/qvz1pJ\nlRb4/FxF0CCNn4Zr7nKkibNAf0F0LSgooNQmkK+NZW25ne2nHYh+jkBJgVqWJ7aLGHNijZh0l79f\nVOld1HFGxRNtta1YIj3nQ1aFCz8YShP9vmDd669Sau+4YSYoCtfMm01M1pjLVKt2FFnCVfY+rpNv\ngOzuwagJHYcx+8doLAk9/qzh0AF3R6yImRBL5lVZZKzIJCR5YNiFXS6GQxsZLtidDl7N/YDy8i3o\nFB/H1gAJHSGRk7h77jeJDfEd7dDdNrJ7725e3VKGqQsiRht6CqUwZLuT/1o8kgljJ3TpM/1l1yv/\nQtm+hRCbkxixjThjCzqNn37/F2EXdZxyBVKrN9FkNmFeupwJt97WBzUeuAy1PkQWRY5uXMeRk2U0\nofHLSipKCxMnTCBlyvR+qmX/ocgSctPxdhGjbjdyS5HfzwYsXOPxuipcDE6ysrKeoj3C4vb8/Hzl\noutGwAacyM/P79Ix56Gyntn/67/x1cttHa4ljWngxs+f9fsd+rXvYfzPXztcUwKCsT3yR+SktF6p\nJ7TnsnjtRBuP7bLS4mHXbmG8kT/MCiU1aOAkrR1q48xQoaysjI0bN+Jyec4pEBkZybJly7BYLGzf\n8BYHTn3KKclzu9IJCilomTL+XvRfvML4qlL0Td67h1aDgb1xozgUl4lD512UcEk2nOWtmE+ayJkx\nk5R5qUSPjUEYAILc5aZoXSFf/mwN9ka7W9mEu3OY88sr0Jn0PfqMqnVb2P23tZQfCUZ0ejkwJSjE\nZVgZd10mox642+f7NGWF6LauQf/1eoRm3xaXSkAwrpmLEOcsR04dSUFhIXChH7E6ZTZVOlhTbmN9\nhYM6h3/rAItOYH68keVJJpYkmoizqJZSQwF1nFHpKqpw4QdDZaLfF2x9502ON3VcPKAoLJuaQ3LO\n1MtTqbPIreU4jr2A3HTcvVBrwZDxHXTxK7rsF+2NodoBO6x2Cj4/Qf6qY1TsLMfHIfPznBMrMq8c\nSXCS9/DV4cZQbSPDnQ3H97Bx7/sIzqpObKRANsQye+w1XpN590Yb2XtoLy9vKMFo0pLpp4jhREuR\nHEarTeEbUyNYOHtetz+/M0p27aJy5csEt7QS4bQTr2ntlr3U+aTfggWryUBLbDyTH3mUgJCh2+cM\n5T6kta6WvV+upbixGacfVlI6WSLRYmTSnLlEjOhdS5eBguyoQ6rbczYaYy9IbV7vVYWL4UFWVlYk\nUAPszs/Pn9aVZ4fCeqa5qIy3b3ydtsYLm6cBYXZuff8OgjNS/XqHbvOnmFb+vsM1xWTB9os/9GpO\ni8pWiR9ta2BDpfv4FqwX+M30EG7PsAy46OOhPM4MdmRZZuPGjZSUlHgsFwSBnJwcJk9uzxH1xUcv\ncKJlL7VeBAyzRiaFQJYveoTSN3/D1NMFmOu8zxldWg0HY1LZFz+OZpPvXJAORzPiCQf6PANpk7JI\nmZdKytxUAmK6lkNysCPaXWz99VccfH2/W5kpzMyS3y8nbXHXrWV9UX/wKLv+5y1OHjDjaPVuPRee\n2EzmrCAmP3kf+kDPp5wBEF1oD+xot5I6sAPBi3XZOaTENKqyJ9MwdgYjctzzlUmywt5aF2vL7ayp\nsHO43v8E3xMj9CxNMrE80cTESD2aAdZ/qviHOs6odBVVuPCDoTDR7wv2frqKvFPVHU9IKgrzR2eR\nOafvNr06Q1EkxPJVOItfA9k9JFsbMQ1D1gNoTFG9+rlDqQMW7SIlG4vJX3WMk5uKkZydb3zGTIgl\n88qRZFw5cthHVnhjKLURFXcqGmv595Y3aK0/iKYTsUDCQFj0ZO654ptEBl7YaO/tNnKxiJGhrcfo\nh4ghIlAih9Fo17FoBHzj2ut6pS7eaLVa2fuH32EuPUmow0mMbCPG2IJG6PrQ2+oyUCkFUq830hRo\nIeIbd5K1YH7vV/oyMVz6kKpjh9m7cwdVTskvKymTIjEiPJRJi5ZgCe+6zcJgQJFFZOtRpLrdiHW7\nUVpPdihXhYvhQVZW1mPAr4Af5+fn/6krz3pbz5zrVwYDR366ktIDFyIXBUFh2j1GIr61wq/nww7v\nJGXVKwgXncKRdQYKv/VjWpN7r19dV6PlfwoNtEjuP7/poRKPZTqJNarLS5XuYbVaOXLkCE6n+zoX\nwGAwMGbMGEJCQhBdLvbveoVK7RmsXhJ4B2slEqVoJk77LmfWrWRu1UGCzzjwNg1TBCiIjGJnwkRq\nA6N91lVBxtHchLjfhbBNT3ByCFFToomcHEXYuAi0hqF7gr65pIl9z+6h5WSzW1lETiQT/nsSpkj3\nBNy9hVhTR8VLn1F6wEBrvffPCQizkzTWTuJ3lmJI9J1TTNfaRNjhnUQc2Ia52rf7gqLRYs0YS/34\nWTRljkfRehbQTtsFtjVoya3XstuqwSH7N22J0CvMCZeYGy4xLVTCPHSbkorKsMHbGlcVLvxAFS7c\nKcj9is1H891EixkpCYxbdtVlq5fcdqo9ysJTLgt9MMbM+9DGzO+T002DfUNJlmQqd1RwfNVRCtcU\n4Gzq/AS0KlZ0jcHeRlT8Q5Ik3tjxKceL1qOVmzuNwlCM8cybcANLR0/r0zZy4PABXvryBBqjgXRd\nAwF0fsJJBsqUUKrtRnLC2/h/d/SPNdPBT1bT+vFqgm02Ilx2EnQtmHX+n8g6hyQLnHYGUq0x02Q0\n0JqUwuSHfz5oozKGWx8iiyLHvtrAkeISrErnVlIoCkFIZCclMHbh0iGXD+NiZHvNeUspqWEfAfNW\nebxPFS6GDllZWSuA1cBBYFZ+fr7nXUsvDHbhou7tNex8xd6+a3qWtMn1ZD93j1/Ph+TvY8T7/0BQ\nLliUyFodxd94gOa00b1SxzYJfl9k4JNq9w06s0bhxyNc3BArdtqVqaj4Q3FxMWVlZV7Lw8PDGT16\nNDqdDntbM/v3vkS5thWblzwIEVqRBCWVsVNup3T7x8wtySXqdAsaH7maq8MsbI0bRWlYJoLge+dY\nUlw4apqRd8oIB3RoDVrCxkYQOSmKyElRBGeEDAlbKUVRKP24hOP/OILs6miJJGgFRt4zirRbM/rt\nu4q2Ns788xNK80Qaq7xHvOhNIomjmki6KYfAGRN9v1RRMJ8uI/zgdsIP70Rn853PzmUJpGHsdOrH\nz8IW6z2/nl2C3VYNufXtQka10z9nDIOgMDVUZk64xJxwSRWGVVQGKapw0QNU4aIjVUcO8em2r91E\niwkx4Uy77ubLUidFkRErP8VZ+ArI7hvu2shZGLMfQDCEeXi6dxiMG0qKolB7tIbjq45y4uPjtJzu\nPClo9LgYRl6dpYoV3WAwthGVnrHr5DE+3fUucltJhxOenhAFIwFBY7kyawGTxozr03qdqqrkd+9t\nxaGzMELfSCj+WTWdUoKocAaQYrDyk29dT0Bg/4T8N1efYd/zvyWopppQR3vS76huJv1ucRk4dTYq\no9liJuCa6xh/Td9GlfQWw7kPaWtsYO/6NRTXW3EI/okYkRqFcaOySZsxB4126B7FU2QngsazHYQq\nXAwNsrKy7gL+BZwE5uXn51d19R2DeT1jr63nrRV/oanacv5aYISN2z75HgEJsZ0+rzl+APPvHkYQ\nLwjgikaD/YFfIU2a3St1PFDn5DubGyhsct/lnR1r4K9zwgZULgtvDOdxZjDS1tbG2rVrqa2t9Viu\n0WiYMmUKEya05zGrKi9k7cbfUIYLl+J5UzhKK5JuGcdVN/2C3ZtWkbr5dZJP16F1T89wHmeAhl0x\nKeyOzgad73xucDYfRkUryjYBTXH778IUaiJpdjJJc1JInpMyKNeZtvo2vvz5WorXu+eoCkkJZfmf\nryJ2ou+ohr5CEkUO/fZljm04RXWx9wM8gqAQN9LKmKsyGf2g7zwYALicaPd/3W4ldXAnguw7f4WU\nnIE4dzmuGYsh2PvfWFEUDtW3W0qtrbCTV+Pyx7EagHHhepYnmVieZCJHtZQacKjjjEpXUYULPxjM\nE/3exnqqgvc//Qz5EuuG9AAjC79112Wpk+yoxXH0BeSGfe6FukCMI+9DG7Owzz1kB1MH3FRu5fjq\nY+SvOkZ9QV2n94ekhJJ1/SiyrxtFWHrnk1EVzwymNqLSu7Q6bazc+gGVFdvQKd596uFsGhlTEoty\nbmRB1qQ+r5u1qZ7f/nsN9UIQKYYmovBdv3PUYKHUGUyo3MTD31pMVERMH9e0I3tWrkTM3UyI3UGU\ny068oRmDtnMrrEuRFahxBHJGMNNoNNISFUXOz39BUHT/fh9/UPuQdmqLTrB3Wy4VNieSH/kwNIpM\nnEFLzvQZxI0a2w81HDiowsXgJysr63HgGWAPcFV+fn51d94zmNcza257nPyvO260LfhBEOMf+X6n\nzwqVJ7H8+ocIbRcO5yiCgOMHjyHOWNTjuimKwt+PtvLUHivOS/brjFp4cnIIPxgdMGg2ztRxZnBS\nWFjI1q1bEUXP4RGBgYEsXryYqKh2q+TjB3LJPfBPymQBxUtscIxOJCNwMsuvf4iThUdQ3v4N2adP\noW/23pXIOiiPCWFNbDZN5gR0dG6F5HS14iqxoWzRoDl9YUwPTgoheU4KyXNTSJyVjDms72yVeoPy\nbWWs/cnntJ5xPwg46qbRzH9mMYZA7zkn+pOSN1ez/61dVBwLRha9z6PCE5vJnBnE5Kc6yYNxFqGx\nDt329cgbVmOu9a2vK1od0sSZuOYsRxo/HXS+hd1qm8T6Cjtry+1srHTQIvo3pMWYNSxNbBcx5scb\nCdD3Tn5Tle6jjjMqXUUVLvxgME/0exN7k5W333oL1yWbBDFahWvv/a/LUiexeiuO438C0X2CoI2Y\niiH7QTTG/vG7HugdsMvmovCLExx99zAVX5d3er85wszIa7LJvn40MRNjB1zywMHIQG8jKv3DtsJD\nrMl7D8VW6tNGCkAUTERGT+Huubd2yIXRV7S2tPCn/6yixBlCgqFdeCu2AAAgAElEQVSVBMHdl9cT\nzRgoFsNQHA6+fUUqUydN7eOaulNdUEj+i38gqLGRcIeTOKGVMKOtW++yiTqqXEHU6o00mY3oZs9n\nyj3+2ZH0JWof4s7J3Ts4eOgg1WL7ZmRn6GWJlCALkxYsIiQuoR9qeHlRhYvBTVZW1h+BB4GPgW/m\n5+f7pyx7YLCuZ0re/oRPf3kMWbqw2ZQ8toEbPnu202eFhlrMv7ofTd2ZDtft9/4McV7PrW1rbBL3\n5zawrsI9ajErRMcr88MZG67v8ef0J+o4M3gRRZGvvvqK4uJir/ckJyezYMECDIb2DfQdm99hX/nH\nnPKSwBsgViuSHTabRVf/P5qtdRT94xEmny7CXO/9sIgCtEbq2RSbwZHQGPREo8H3b0FBwWlvQSxw\ntIsYDRftOQgQPSaGpDntERkJUxPQmQbGb0tySez4wzb2/H0Xl4YEGAINLHh2CdnXj7o8leuEut0H\n2P3C+5QeMmNv8S6qBITZGTHBxZRH7yJkZOfJxAtOnMBSdZIRpUfRf/1lB+HYE3JwGOKsJYhzlyMn\npnX6foeksP20gy/K7awpt1PW4t/BJaMWrog1sjzZxLJEE4mBAz8KbiiijjMqXUUVLvxgsE70exPR\n6eDd/3uVVqFj5x6kiNx67/fQdKKQ9zaK2IrzxN8RT3/pXqi1YMj8L3Rxy/p1s30gdsCKolC15xRH\n3ztMwWf5OFt82yHrLXrSl2WSdf0okuekoNGpJxJ6k4HYRlQuH1ZbK69tfY+qqq/RKT7i72lfB8mG\nGKZmr+DaCVeg7Sfbm7+98Tb76i1EmxwkC4340yO40FAih2G1a5mbKHHnTTf2eT29sf2F36E/cohg\nu4NIyU6cvqVbURkAtXYLpwULjQYjzaGhZD3wE6IzM3q5xr5R+xDvyKLI0U3rOXaylEY/82FYFInM\nmEjGL16OKTCofyraz6jCxeDlokiLlcD38vPzu9d5nWUwrmckh5P/LHyW+ooLv09TkJNb37qRsHHZ\nvh+2tWH+zY/QlhV2uOy46Tu4rr2zx3XLPe3gO5vrOWNzt0W5e6SF30wLGZQne9VxZvDT0NDA+vXr\nsVqtHss1Gg05OTlMmnQhqnfjZ//geP1WqnwIGPFakdFRC4hPnwdA1ZpXmFWxn5BqO4IPdyBXkMDx\n6Fg2xqZi0wRjUMIROplRKsg4WpsRjzoRtuoQ2jrerzVqiZ+ScN5WKmpMNBpt///eGksbWfOjTzmz\n/7RbWWxOHMv/fNWgsLyyVdew+6mXKN4jYj3jPbJCbxJJGt3MpO8tJuHKBV7v69CPOB3o9m1Ht/UL\ntIf3dMgz5AkpdSTinOW4Zi6GwOBO664oCscaRdaeFTF2VTv9tpQae9ZSaoVqKdWvqOOMSldRhQs/\nGIwT/d5EliRWrfwXdZf4YBpkiW/ecQeGgP7xOD+H1HgYx9HfodjPuJVpQidgHPUQGnP/W3wMpA64\nuaqZ4x8e5ej7h2ksbvB5r0anIfmKVLKvH0XaknT0loERwjoUGUhtRGVgsfF4Hhv3fQiOik6jMCR0\nWELH8M1Zt5EeHd8v9QN45+PVfFmiEGaSGKFpQOfnsqBcCabKaSFZ18RDd1zXb3kxPFFdUEj+n18g\nyGolzOEkVmgjwti9A8xOSUuVM5AanZlmkwHXmHHM+unPernGHVH7EP+wtzRz4Ms1FJ6ppU3Q+iVi\nhAoyo1KSyZ6/CJ3B2D8V7QdU4WJwkpWVtQDYAKwCbs7Pz/e90+MHg3E9s+m7z3BwvaXDtem3wIzf\nP+z7QVHE9L+PoDu8u8Nl1/xrcHz7oc77BB8oisJfDrfwVF4T0iX/oyEGgT/PDuO61IFtaeMLdZwZ\nOhw7doyvv/4aSfKseZpMJubPn09SUtL5a+tW/5ETzbs5I3oXMBK0IsmWWVx50/0AbPnoVcbu+4SE\nMw0+82DIBjgTE8Tm1GlUaWy45DD0SghCJzNfWZFwNDUjHXQhbNchuNwFClOoiYQZSSTNSiZpVjJh\nGeF9foDx+IdH2fT4l+4HAwWY+v+mM/0ns9DqB1d+rfY8GC9xbENVp3kwYjOtjLk6g+z770B7ySFW\nb/2IUF+D7uv16Ld+gabKtwOEotMj5czCNXcF0tgpoPXvoGytXWLd2bwYGysdNLv8G/qiL7GUChyE\nwvNgQR1nVLqKKlz4wWCc6Pcm619fyUl7R79MrSxzy/XXEhTTf8mlFFnEVfIGrtJ3gUvWb4IeQ/q3\n0SXdgCBcnkHmcnfAol2keH0hR987TNnWUhTZd7ONzYkj+8bRZF6VhSXC4vNeld7hcrcRlYHP3iOH\n+Dx/E63Nh9EpvhNmK4CkDSVrxHxun3k1em3/hcxv3PYV7+yuw2zSkKZtwIxnT+VLqcdEqSsEvcvG\nj66fQnpK5+Hmfc2Ol/4OO3cQYncQ4bITr2/BpPPv+1xKo8NElRJAg8FIS4CFsJtvZdTipb1WV7UP\n6TrWUxXkbd5IWXObm9WlJwRFIUKjMDY7m/SZgz+ptypcDE6ysrLygBzgh4C3nBafd8U6arCtZ05v\n2MYH921FdFzYrIrNaOTmtU+5bZJ1QFEw/us59LlrOlwWJ8zA/uCv/d788kSTU+aHuQ18XOq+Ozsj\n2sBL88JIHuTWI+o4M7QQRZHNmzdTUlLi9Z7IyEiWLFlC4EUHS7748HkKWw9Q7TUCQyFRKzMx6Tqm\nz78FgJOFRxDf+S2jz1RisHrXWhUBWqIM7I4dSdO4ORSWH0JSIjAonUc+SoqIs6EZ6YCIsFOPIHoe\n4ixRASTObBcyEmclE5Ic0mtChqPZwebHN3D8o6NuZQExgSz745UkzUrulc+6nJS8/QkH3thBxfFg\nJJePPBgJLWTMtDDl6fvP58HotB9RFDRFR9FvXYNu50YEW6vPusgh4Yizl+KasxwlIdXv7+CUFLZ1\n01JqbqyR5UkmliWZSBrk/fpAQx1nVLqKKlz4wWCb6Pcmuz/+gP2n6zqcTBIUhWvnzyN6ZFa/1UO2\nVeE48lvkpny3MiEgBePo/0Yb1LkfYl9yOTpgRVE4c/A0R989zImPj+No8r3RaYkKYNRNoxl981jC\nMyP6qZYq51AHaZXOuLiNbDyex6b9q1Ds5QidRDfIaNAFpHHNtFuYktKJfUYvU1RaxIurduPQB5Cq\nbyQc37ZX57Cho1gKw+aQuW5sIFcu6r0N/p7QXH2Gfc/9hsDaWkIdTmIUG1HGFjTdmC7JikC1I4Bq\nwYzVaKA5PIxRP3mYqOTUbtVN7UN6RtWRQ+zbvZMqp4TsxyEHjSITo9cwfuJEknP6P29Lb6AKF4OT\nrKwsf9YeI/Lz80/6+87BtJ6RRJH3lj3NmcILJ371JpGb/nkFMfNn+XzW8OFKDKtf6/i+EVnYHvkj\nGLsfCXGswcVdm+opsLoL2w+PD+IXOUHoujNQDDDUcWZo0pl9FLT/zefMmYPurDDocrlYu+p5iuxH\nqfUiYAhnBYwx8SuYveh2AGwtLex7+XFmVB0hqNqJ4KPncQUKlERHUTXvLqpsVZSdKgM5Ej2dH6qT\nFBeO+mbk/TLCLh2C5P33F5QQROLM9miMxJlJBMV3bkHkidP7q1jzwKdYy9z/H9OWZrD4+WUDPol4\nV6nNO0je79/j5CEz9mbvzgyWUDsp45xM+emt1AW2R6761Y84HejyctutpI7mIXSydyiljcI1Zzni\n9AV+WUmdQ1EUjjeKrOmGpdSYMB0rkswsTzYxSbWU6jHqOKPSVVThwg8G00S/NynekcuGg0c7hlMr\nCosnjGXEdN+Lht5EPL0JR/6LILkfKtMl3YAh7R4E7eW3N+rPDthhtXP8o6Mceusgdcdrfd6r0WtI\nW5zO6FvGkjJvhJq34jKiDtIqneGpjbQ6bbyW+xHlFdvQyi0+A+oVBSSNhejYKdw5++Z+Seh9Ma0t\nLfzhP6spcwQTZ2wjSWjy6zkJgVIllFq7gTHBrfz429/s45p2jf0ffoDti88IstmIcDmI17YQoPed\nM8gbDknLaWcgtToTTUYDtvQ0Jj/wEAEhnf+t1D6kd5AliaKvczl0/Dh1suCXbYxWlkgwG8iZMbtf\nD270FFW4UDnHYFrP7Pjp8+x8v+N8dfySNhb86wmfz+k2f4pp5e87XJOj4rE9/heUkPBu1+fD4jYe\n2NZIq9jxvzDEIPDSFeEsSzJ1+90DDXWcGdoUFhaSm5uLy+XyWK7Vapk0aRITJ048f83lcvHZB7/m\npKuQOh8RGAna/8/eecZXdV15+znn3Kreu0SR6E0gejOY6t5L7MR2EpdJcSaOk0kytpM4npm8iVMc\n2/F4bMdx772B6WB6ESBRRUe9615d3XrK+0EIIaTbVEDAeX4/PnDO3mdvwdJu/73WUhiedBlzrrj/\n9NPV7/yDgr1fk1ZlRwywbNIkaEy1sjljHFPu+x2ffvkctU02RDUZA8HDNyqaD099M+pOBWGbEUEN\nPPXFDow7JWK0ChmRyf7zOgCoisqO57ex+a8bUOWO3iSS2cDsx+Yw5tvjzml+zXONu66Bbb/9X45s\nC5wHQzIqZAyzkTN/MBMfujesNoT6Ggwbl7WGkqouD1hWkwwo+dPwTV+IMm4KGMM7D6p3Kywr87C0\n1BVWSKlki8jC7NaQUnP1kFLdQp9ndMJFFy5C4EJa6PcW9ccO8/HyVWhniRaTczIYt/jqc9IHTXHj\nLXkOuXJZp3eCKRHzyIeREiZ0UfP80NcDsKZpVO2spPit3Rz6/CCyO3Aok+RRKYy8ZTTDrh9x0d38\nuFDRJ2mdYASzkaLyI3y8+T28zSWIZ4fMOwsNUI3JjM6bz20TF5yzhN5n8sbHH7P2pECsRWWw2Igx\nSJ/bqCWCk74YzD4nP756PENyh/ZxT8OjxWZjx5P/j4iyUmI9XlJUF2kmB5LYveVCs9dMpRpJo9FM\ns9WMcd4CCm6/s1M5fQzpfWS3mz2rl3GwtAI7IST1pjXHV050BOMvm0NcZv8OB6ELFzptXCj7meYj\nJ3n7+tdx2dsPKxOzm/nWykeQzP4PpsQDu7D+6WGEM+L5a1ExOB/7B1patt96gZBVjce22fjffZ3D\nmIxJMPL65QkMjL64Qojo88zFj6qqbN68mX379uHvnMZisTBr1iwGDhx4+pnP5+Oz93/LCeUEjQGS\neKcbZAZHFbD4+p+dflayZwemj//CsJpKjPbAQ5EnTuRgcgby9Q+RnTuUDz95iianhkFNQiJ4WFRF\n8+KpdaDuVBF2GIKKGACJQxNbRYzpOWRNzcIS1753bq5sZtlDX1G2qXNOhsRhSSx+5iqShiUHbeNi\nQZFl9vzpRfavqKD6SOBLN0kD7ORNjWHCb35wOoxUSGga4qE9GL9ZgmHrGgR34KiIWmQM8pS5+GYs\nRM0dGXYeI6+isbHaw5KTrd4YJ0IMKWUSYXa6mUWnhAw9pFRo6POMTrjowkUIXCgL/d7Cbbfx9ttv\nI58VCzov0szcO+46J31Qmo/g2fsHNGdZp3dS0jTMIx5CMHbPxbOv6KsB2GP3cOCTfex5q4i6/bUB\ny1oTrAy7fgQjbxlN8siUXu2HTs/RJ2mdYIRqI4qi8Pa2pew9vBJJrg+a0FtFRIoczOIJNzA9d3Qv\n9TY8CosL+efKIwhmE4MNTUQTmseCB4ljahzNbolJqV7uu/2WPu5p9zi8cQM1r/2LqBYn8V4PqYKT\nBLOr29+rc0dQTQRNZhPN0dHk3PdDPJGtoRP0MaRvcNtt7F65jMO1dTgJLam3VVMYnBhH/uULiEhI\nOjcdDQNduNBp40LZz3x586Mc3hZ3+u+ipHL1/4xg0O3X+K0j1FYS8bsHEBztXn6a0YTrV39DzRvV\nrX40eVTuWdPAmorOYVjvyIvgL9PisBouvl8vfa166eB2u1m+fDlVVVV+y8TFxXH55ZeTmNgeYnj/\n3r3s3PYSlVItTYr/SzEpkswA8wiuuOGXGI2tgoPL4aD4/37NxOqDQcNIqSaoTYli86BpzLv3Eeob\navjiy+do9kgYtMQwRIxm1J1ayCIGAiSPTCFrWjaSSaL4zd14bJ3HgbF35TPrkcswWM5djrn+xrF3\nv2D3G5so2x84D0ZEnJuBY7wU/MftJIwdGV4jHheG7d9gWL8Uw77CoMXV1Ex80xciT1+AlpIRXlu0\nXhY9aJNZekrE2FrrJUjq0NO0hZRalG2hIFkPKeUPfZ7RCRdduAiBC2Wh3xuoisK7/3wBh9BRLU4U\nVG6894E+b1/TNOTyz/EeehG0s1xYRSOmvPswZF7TL90we3MA1jSN6t1VFL+5m5LPDyC7/HtXCKLA\nwLmDGHnLaAbNy0UyXdiJRC9m9ElaJxjdsZHSxlreXP8O9vrdSHTt+n8msmAmPimfb02/hez483ND\nzGZv4P+9toQGIYYsk4M0HCHXrSSKcm8U0bKDn906m4z0zD7sac9oS/wd4/aQKHtIkxxEGoP/H3WF\nrIpUe6OoFS3YzCYcaelM/PWjIYWY0gmf5upKdq5ZyfEmBx4hBE8MTSMKhaHpaYyZtxBTRBg3C/sQ\nXbjQaeNC2M+c+Ggpn/28CFVpD70xZHITV77/X/4ruZ1Yn/gxUtnRDo9dD/4eZeLsbvXjkM3H7Svq\nOWLveOvWJMKfpsZx99CIfrkX6Q30teqlR3V1NatWrcLh8L8Wy8jIYO7cuURERJy2kQEDsvnsg99R\nqpTSEMADI1GSyZEGcvXNj2EytYdVW/fxy4za9QVZ1Y1IrsDDkyvRQFFyDsn3/J6U9Cxq68r5YskL\ntHgMGLUkRILfdFc0L167HaVQC5jYOxjmOAsL/3IFg+fndqv+xUhj8QF2PPk2x4uMtDT6D50nGRUy\nh9sZe8sEcu++Kex2hLoqDBuWYdywDLG68wXXs1GGjmkVMSbPgcjgyd+7ot6tsLzMw9JSNyvL3WGH\nlFqUZeHyTD2k1Jno84xOuOjCRQhcCAv93uLLV16i4qzB2KLKfOue72Iw9238Vs3nwHPgryi1Gzu9\nEyKyMY/69XlPwB2I3hiAPc0eDn6yn+K3dlO3L7B3RVRGNKNvH8PIW8cQnd69iVjn3KJP0jrB6KmN\nLCnexIa9X4K7LGhCbw1QpHiGDJzNnVOuwWw6fzfGnnntHYqaIki0eBkgNGEIMV2eEwPHlHicbo2F\neRI3X31tH/e0Z7SFmIosKyXa6yNZcZFmdGCUQguhdTYu2UiVHEm9ZKbZYsY1eFDI+TJ0Qqf+2GF2\nblhPWYsbnxjC5QBNI05QGZaTxcg58/t8/RQIXbjQaaO/72cUWeb9hY93CD1ijfVwx2d3EzUwq+tK\nqorl2d9i2PFNh8eeG76L7/q7u9WP1eVu7lnTgM3b8Z8rK1LitbkJTEg+/3n1+hJ9rXrpUlJSwsaN\nG/3mvwDIzc0lPT0dg8Fw2kbacmCc9B2mNoCAES/JZAnpXHPj41jPEPdrKsuoevV35NceJ6IucChk\nxQJVKTEU5s5i7j2/AKCi6iRfL3uJFq8Jo5YYmoiBD5/LhlaioC03gzu8qTJxWBKZU7LImppNxuSs\noDkyLhV8Lic7H3+eQxubqDsRODpG0gA7Q6bHMf7RB8ILIwWtoaSO7m8VMTavQmgJnFNPMxhRxk9v\nzYcxdjIYurfnaQsp1Zbg+3hz6CGlZqWbWZRlYXGOhZxLPKSUPs/ohIsuXIRAf1/o9xabP3qP4npb\nh2eSqnLrjdcTlZzap20rzYfwFP8Pmruy0ztD+iJMQ3+AIPXvxHc9GYBriqspen0XBz/bH9y74vLB\njLljLAPmDEKUdOX+QkKfpHWC0Vs24vZ6eH3TZxw9uR5JaQoaSkpDQLBkM23UFSwaOeW85MNoY8OW\njby5qQLRbGKgoYlYOrvnd4UKlGsxVHkjSMbOf9x1BbEx3U/Geq6o2L+PI889Q7TNTqzXS6rmJNnc\nEm543tM4fCaqlEgaDK1ihjx6LDMeerh3O30JU7FnN7u2b6PSq6AKIczBmkaCoDJs0ECGz56LwRQ8\nyWhvogsXOm309/3M9seeYsNrHdfAk29UmPa3X/qtY/r4X5g+ebXDM3nSZbh/+FsQw18jv7jfwa+2\n2FDO+peakmLi9csTSLFe/F7N+lr10kZVVbZv305xcTGq2vWlCkEQyMzMZNGiRYhn/J75fD6WffYX\njrmKqZb9H8zGSApZxHPlVb8hNqGj5++qV/7I5MPrSaluDpjMG8CVKLEvKQvDjT8jd/g4AMoqj7F8\n2cu0+CwYtYSQRAwVGa/chFDhRVoVh7csfM/Y+NwEMqdmkzUli8yp2USlRoX9jYuJQ4cOYVvyDWXL\njlB2IHgYqZxRHib89EaSJ48PvzHZh1S0BeOGZUi7NiHIgf//tKgYfFPnIU9fiDp4eNj5ME5/54yQ\nUl+XudlSE3pIqZHxBq7ItrSGlEoyIYmX1lJNn2d0wuWiFS6GDRtmAv4L+Dmw7uDBg3O6+63+vtDv\nDUq+WcPa/SUdB25N4+oZ00gfNabP2tU0DbniK7yHngf1rElGisA8/CcYUuf0Wfu9SbgDsOJVOLyk\nhN2v7qRyR0XAslHp0Yy6fQyjbh1NdEb/yu2hEzr6JK0TjL6wkRP1Nbyz6X1sdbuRQhABFCTM0UNY\nPP46pgwOMw5tL9PicPDk659SLseQanaRLdgI9SiqGRPHlDh8bpnrxsZwxeUL+rSvvcmujz7EtfRL\nop0u4n0e0kQnsSZ3t79n81qoViNoMJpxWMyI02Yy+fv39mKPLz1UReHE9i0U7dlDraKhhSBiCJpG\ngqgxMi+PoTMvQzT0/Y07XbjQaaM/72dcNbW8tfh5HPXtCXGTcuzcvvo3SH5+T6Rta7E++9sOz5Sc\nXFyPPgtma5d1/OFTNX61xcY/D3ROwn17rpW/z4jHLF0av0r6WlUHwOv1snbtWo4fP+63jMFgYOLE\niYwZ0/msYMXnz3KoaRMVATwwIkSFTM3CrGk/ZtDQ/A7vjhzYjfbhnxlRW465MbBXqmqCupRItmVN\n4LIfPHH6eWnZEZat/BcunzV0EUNT8LY4kA96Yb0Bsbl7lwRjB8aRNSWbzKlZZE7JJibz0tq/nzmO\nNBTtY8eT73K82IgzQBgpUVJJH2pjxKI8hj/4Hb9jf0Acdgzb1mBcvwzp8J6gxdW0bHzTF7Tmw0hO\nD7+9MzgzpNSqcjf2EENKJVlEFma1Jveem2km+hIIKaXPMzrhclEKF8OGDRsGvAUMBaKAtbpw4Z+6\no4f4eMXqTqLFjLyBjLx8YZ+1q8kuPAefRqle3emdGJ2HefQjiNaeTSDnklAH4JZqB8VvF1H8xm6c\ntZ03SG205a4Yfcc4Bs4ZhGi4+Cexix19ktYJRl/byPrDRSwr/ATFeQyR4OGJFMxEJ4zi5qk3MSTF\nT6iOc8jny5by5f4WTGaJwVITkSHk9IBWb4xSLZYar5UEzc7Dd8wnObFvPQl7mw1P/hHT/r1Eezwk\n+jykGx1YDIFDKgSiwWOlWougyWSi2WolYvFV5N8YfrxhHVBlmQPfrGb/4SM0aCHkwwAETSVJgpFD\nh5E3fRZiH3k56cKFThv9eT+z7M7H2L++PUSUIGhc+btB5N1zc5flxZOHsT7xYwRvu6CrRsfh+t3z\naElpYbXd5FG5e3UDays7CvsC8PjEGB4cHXXR5rPoCn2tqnMmzc3NrFq1ipqaGr9lzGYzU6dOZejQ\noZ3erV36MgdqV1GuiGh+/H8NgkaWAPm5N1Mwo3PIz7XP/idTy3cRX+NEDLLs8cSJHE5KxbbwfsZO\nmXv6eXs4KWPIib01VLxeOwapiQyGE1uTRfnmUmr31RBiRNPTxGTFkDk1m8zJWWRMziJuYNxFPa50\nNY74HC3sfOJ5Dm2yBQ0jFZvWwqB8kYJff9d/qMAgCNXlGDYux7hxGWJN4EuiAMrQsfimzWvNhxHV\ns5CrXkVjU7WHJd0IKTUzzczi7Is7pJQ+z+iEy0UnXAwbNiweKAMOAbcBB9CFC794Wxy89cYbnWI2\nD4+NZNatd/RZu6rjOO49/43mLO30zpB5Naa8+xGkCyuGbKABWNM0KndUsPvVnRz+qgRV9n9gGJUW\nxcjbxjDqtjGX3O2Mix19ktYJxrmyEZ/i491ty9h3eBWiXBdCKClQxEhSUgu4c/pNpETH9Wn/QqG2\nvpq/vLWCBiGGDFMLmUJzyHWdGDiuxtHiFpiU6uO+22/pw572HmfaR3NNNYVP/omo2mpiPF6SVHeP\n8mVoGtR5IqghgiazCUdkJEm33smwuXN68Se4+JHdbopXfU1JeSX2MESMFIPA6JEjGThpWq+KGLpw\nodNGf93PVK/ZyAf3fYPsbbf7geMaue6z/+66gr2JiMcfQKyrPv1IkyRcv/wb6rCxYbVd3qJwy7I6\n9jV1PA2NMgi8cFk8V+aE57lxMaCvVXW6ora2ltWrV2Oz2fyWsVqtzJgxg0GDBnV6t3Xdh+w+8Qll\nioDqZ9UpoJEhKQyOmczC6/690/uiLauJXvYiQ+urgnthGKApxcrW1JEU3Ps41qj20E31DTV8ueR/\naXaBpCYhCaGdOXgFO6LQSGpsOqMiLqdmZzXlW8qo2VONdnZ8uSBEJEeQMTGTjElZZEzOJHlEykV1\nSTHYOHLk1Q8per+Q8iBhpIwWmawRzYy9YzoDb72qe53RNMTDezFuWIZh62qElsD7BU2SUMZMRp46\nH3nC9LA9+Do3r1Fik0/nxQgrpFScgcU5rd4YF1NIKX2e0QmXi1G4SAV+Bzx08OBB97BhwzR04cIv\n77/4PE10nCxSRI3rvn9/n7UpV63Gc+ApUM8KWSJZMA/7dwxpc7uu2M/pagCW3T4OfnaAold3UbOn\n2l9VALJnDmDc3eMZdPngi2rhotOOPknrBON82EhNcxNvbvyQmupCJNURmoghxTM4ZwZ3TLuaSFP/\nONh5/cOP+KZMJMqiMUhsxEJot5sAqomkzBeN0evk3vnDGTd6XB/2tPsEs4+aQ4c5+I+/EdnYRKzH\nR7LmIsXUgkHsnpihagK1nkhqBCs2kwlHdDSZd3+PQZMndx1qGbgAACAASURBVPtnuJTwtjgoXrWc\nQ5VVNCOFJGKImkqqQWT0mDHkTJjUYxFDFy502uiv+5kPFj1K+YF2MdwU4eP2924gfszwzoUVGcuf\nfo7hwK4Oj933PIw895qw2t3X6OOWZfWUOzvOFTlREm/PS2RUQveSt17o6GtVnUCcPHmS1atX4/X6\nT0ARFRXFrFmzyMrqfFO+aOvXbDvwFuWaik/zv99NlmQypRyuvP7RDom821jz/G+YVFpIco0jaC4M\nX7TAieRESsZeyewbvgdAfUkdS//9S2oP1KBNkBHHC5iSozCIoeWh8uFEExuIizRz9bwHaNxrp3xL\nKeWby6guqgp4SbErjJFG0idktAoZkzJJG5+O0XrhjkGhjiO2/YfY/qc3OV4k4agLvJ9IHmgnb2os\n4x/7t/CTebfh8yLt3tyaD2P3ZgQlsAuPZrYgT5iJPG0+yqiJ0AshPhvcCsvLPSw96WZlmCGlFpwK\nKXX5BR5SSp9ndMLlohMuzkYXLvyz+u3XOOzoKB5YVJlvffd7fZI8UlNlvIdfQi77pNM7IXIgltGP\nIEZm93q754ozB2B7uZ3iN3ax5+1i3I0uv3WMkUZG3DSKcXeNJ2FI4rnqqs55Qp+kdYJxvm3kYHUp\nH235iOaGvSHlw9AA1ZTGiEGzubVgIWZT/9hkHTlxhH98uhWnIYpMo4M0HCHX9SFyQo2jwWNkgMXO\nQ3dcT2RU/0iy2B37OLZ1K+WvvkyUw06sx0eK5iLZ3IIodG9po6gCtd5IagUrNrORlsgoUr99N3nT\nZ3Tre5cKbruNotXLOVJVi0MIXcRIM0mMzc8nO39it9rVhQudNvrjfqb4zy+x6pmmDs/yFzm57IXf\ndFne9MFLmD5/o8Mz77zr8d7107Da/abSw52r6rF7O/6TTEo28ta8RJIvgSTc/jjf6xCd/s+hQ4eo\nqKjg+PHjAQWMmJgYZs+eTXp659DPJ48Us2b901QILlpU/79vMZJChhbD4kX/SWJqZyHk+OG9uN97\nklF1ZVjrgxxCC+BMMrDPksnaz0fgaTrrEFqCiDsVvANaELREjEQE/F4bCl4UoZ4Ik8yCBd8lNTaT\nysJKyjeXUraljOpdlSje0C/TAIgGkZQxqWRMyjwtZljj+8dFoVAIO/enx0vxky9RsqaCqsOxaJr/\npYs11sOAUW7G//AaUmb14CKNw4Zhy+pWEePIvqDFtagY5Mlz8U2bh5o3GsSeCwc+VWNjlZelpS6W\nlro5FmJIKeOZIaWyLQyIvrBCSunzjE646MJFCPhb6Lf9wl2I1BbvYm9dY4eNs6CpTM0fhzm+9w/Q\nRcVOfP3LmD1HOr1zRkzBFn8rmnhhhYY6G03TaNzTwLEPj1C9sZJA4eMjsyIZcN1gMhdmY4zsHwd9\nOjo6Omeyp/Yk20+sR/OcQArBe0FDQDYkMyC5gDkDxmOQ+s9NoGUbNrPbFk2EGQZJTUSEmBsDoAkz\nJ+VYvB6FWZk+puRP6MOenhsqd2xBXL2aaKeLOJ+XVM1JotkZyll6l7R5ZtQKVmwmI80REahz5pBe\nMKV3O36RIDuaqdy7m0qHC6doCEnEkFSFJEkjc8AAYgZ23uj52/zpwoVOG/1NuPA5Wnhz3p+xVbXf\nnI1Ld3DH6v/AaO18YCjt3oz1r7/q8EwZPg7XL/4S1i3Yj446+bdvGvGetU6/KsfCi5fFE3GJez3r\nB0o6wWizkdzcXIqKiti5cyey7F80iI2NZdasWV0KGM1N9Xz1+ROUU0tjgETeFlElUzMwdcJ9DB8z\nvcsyq175MxOOfEN6jQ3J3WWR06hGaEyIYFNVLrvWZhGbFc+iv19FxsRMADxuN1+t+CdV1ZWoWjwm\nLbTwzSoKPqEBs+Rg7Ni5TClYgOz2UbWzkvKtZZRvLaeqsAKfM/R1aBsJQxLJmJRJ5ikhIzorpt/m\nyejJOFK5Yj07/28pJ/dF4HH4Px8SRJW0XDt5M1MZ9+sHkMzdP0sSqssxbF6JcdMKxMqTQcurSanI\nU+YhT5uPmj242+2eiaZpHDoVUmpJmCGlRsQZTosYE5P7f0gpfZ7RCRdduAiBi024cFZVsHX/wU7J\nuPOz04nL68Itu4cYPcdIqP8nktIxJqaGAVv8rTijpvV6m+cSVVGpWlfJsQ8OYzvY5L+gAClTUhlw\n3WCSCpIR+vmEoqOjowOgKCpbKg9woGILoq8CMYSMhCoCqiGVQakTmZ09FqkfiRhNNhsfbtxPvRhH\nqslFlmBHCjHLogqUazFUeSOIUuxcX5BFempG33b4HFG2eiXm7VuIdrmJ93pJFZzEm/17DAZD1aDO\nE0ktVppMJhyRVnxTZ5E5Q/fMOBNvs53KPbupdLpxhyhiiKpCoqiRmZVFzKAhiJKkCxc6QelvwsWa\n+37P7mUdBYr5P01k1EPf7VRWqK8m4rH7EFrsp5+psQm4nngJLTYh5Daf3dPMo9vsnZ7fOzySP06J\n7feHPecC/UBJJxhn24iqquzYsYPi4mIUxf9Fl9jYWGbOnElGRud1k8/nY8nHf6TUs5+qAAKGiEam\npDIwdgpzr/g3jMbOFwBrKsuoeP335NceI7LWRzAHUzlSoDwpnuJhlzHnzs65NQDWrv+IAyXb8amx\nmLQ4BIKvazU0fIIdUWgiJSmFqxfdj9liQZVVavfVULGtnPKtZVRsL8dV5wz6vbOJSo9u9cgoyCC9\nIJOkEcn9Jtx0b4wj7roGCp94kaM7nNSXRgcsGxnvJmeUh/E/vI7kGd3zUAVa82GcPIxh0woMm1ci\nNtYFraJkDUaeNg956jy0pLTut30WDW6FFeUelpa6WVHu7uQh6I9Es8iCLDNX5FiZm2EmxtQ/bOJM\n9HlGJ1x04SIE+ttCvyf4S8Y9NjmOKdf3bnJSTdOQy7/Ee+h50DrewhDMKZjHPIYUc+EOVp5mD3vf\nKWbXv3bQXO4/yZM5xsyo28Yw5jv5xA04/wltdc4f+iStE4z+biM+xcc7W5ex/+gaRF9N0HwY0Cpi\niJZsCobN45qxs5B6MfFwb7B87Wo+3lmPYDaRY7CRQJBremfgReKEGkuDx0iWsZmH7ryC2JjQD9HC\n5Vzbx+YX/he2biba7SXe5yFVdBJrCv3f52xOJwAXIrAZTTisFiLnL2Tcrbf3Yq8vXJqrK9m1ZhXH\nm+y4wwgnlWIQueZ793X5XhcudNroT/uZ5iMnefPaNzrcps0a0chNS7tIyC37sP7PT5CO7D/9SBNE\nXL/6K+rw/JDaUzWNR7fZeG5vS6d3vy2I4adjovrtzeVzTX9fh+icf/zZiKqqbN68mf3796Oq/kMP\nBBIwAL5Z9gr7q1dQroh+E3kDJEoyaSSx+MpfE5fY9YHxug9eZmjhVwxorsdoDz4EuhIlShLSaVl8\nH2MnXtZlmT0HtrF58ye45QiMWgIioXl8ybhRxXoiTSrz53+XrPTWJOaaptF0rLFVyNhWRsW2cmzH\nA1yG9IPBaiAtP530gkzSCzJIn5COJe78hJfq7XHk0Mvvs/fjXZQfiEH2+t9HCFKrF8aQWRmM/eW9\nPfLCQFURS4owblyBYdsaBGfwsLPKkNH4pi1AnnwZRPfeuU9bSKmvy1wsPenmaBghpWakmVmYZWFh\nlpncGEO/mOv0eUYnXHThIgT600K/J6iKwocvv9gpGXeqBNf62fB2F03x4j34DHLV8k7vxPjxWEb9\nCsEU26ttnivs5XZ2/6uQPe8U4W32H9czcVgS4+4Zz/DrR2CMuLDDYOn0DvokrROMC8lGbK4W3t7y\nBSfKNiPJDSGKGCKiNYepIxaweNS0fiditDgcPP/eZxxwRBJnVhgoNmEKI8m3AyMnlDhaPDA23s2D\nd/XugXx/sI9Nz/4dYVchUW1ihuAkztwzMaPBG0GNdsozw2LFNG8eBbff2Yu9vvCwVZSxa90aTtgc\neAQxqIhx3326cKETmP60n1ly22OUbG7fBxhMCre8PLfLeOWmN5/BtOzDDs88t9yH7+rQxghF1fjJ\nxibePNTxRrNBgGdnxnN7Xmhx7C8V+sM8o9O/CWYjsiyzceNGSkpKCHQOFB0dzYwZM8jO7jrH5d6d\na9ha9ArlKHgCJPK2iCoZmkTBiG8xdvKi088bjzbw9U+/onp3FRoKI6ZWM3NACclNDsQgadxUA9iT\nLexOHET2tx8hJb1zfg2AiqqTLFv+Mi1eAVFNxEBoeUJbQ0o1YhKbGTVyOjOmXt3hfUu1g4rt5ae9\nMur216KFGjfoDBLyEtqFjIIM4nMTzsnBdV+NI7b9h9jx5FucKBaw1wQeuyMT3OSM9DL+x9eRPK2g\nZw37vEjF21o9MXZuQPAFzgivSRLK6EnIk+ciT5gBEb2XK68tpNTXp0JKbQ4jpNSgaIkFWRYWZFmY\nmWbGajg/S0R9ntEJF124CIH+tNDvCecqGbfqqcdT/HtU+8FO74wDbsU4+G4EoX8dVoVCdVEVhS9u\n59CXB9EU/yYx8PLBTLh3IlnTs/uFoq3Tf9AnaZ1gXKg2Uu9o5p2tn1FWvhVJaQpdxLBkMW7IHG7I\nn9PvRAyAQ0dKeO7LQpxSJBmmFjLw713XFfVYKZNjkD0yi4aYueGqq3rWn35qH1v/+RLq5vVEuTzE\n+bykCE4SehBmCqDBY6VGa/XMaDabUEeOZvrDv+ilHl9YNJYeZ9f6dZTanX5FDF240AlGf9nP1G7a\nwXt3L0f2tN9SHjq1iSve/a9OZaVta7E++9sOz+RxU3H/9H9CSozqVTTuX9fIJ8c7jkfRRoHX5iYw\nN9PSzZ/i4qW/zjM6/YdQbaRNwDh06FBAD4zIyEimTJlCbm5ul+9ryo+yfOWTVAjN2JUAt+3RyJAU\nsqyjyWpZwIY/rEd2yWcXYuQ9uaRYvmJs/Qmi6rwIAfJSAihmqE+KpDBlOAX3Po41qutDaJermc8+\nf576ZjuamoCJ0A+rvYIdQWgiMTqGa6/5N6zWjqGRPM0eqgorTntlVO2sQvEETkbeFZY4yykRo1XM\nSB2XhtHa+/k2+3ocUWSZA/94gwNLD1F5KAbFF9gLIz3PzpDZGYz5RQ+9MABcTgyF6zFsWoG0dztC\nANsG0AxGlDGTkafMRc6fDl3kcOoJjR6V5WVuvi51szyMkFIWCWanm08LGQPPYYJvfZ7RCRdduAiB\n/rLQ7wmH1q9lzb6OeS1ETeWW664lJrVzoqzuotgO4Cn+PZq3oeMLyYp5xMMYUmb2WlvnAlVRObby\nKIUvbqdia5nfcpLZQMb8TAbdmMv4+Rd+4ladvkGfpHWCcTHYSJ3DxtubP6WicjuSYgs5nBTmdEYO\nmsXNExZgNvX+Jqo3eOuTT1hzXMNiEcmRbMQS5MreWVQQTaUvEqPPyZ0zBjB14tSw6l9I9rH99dfw\nrVtDlNtFnNdLiuAi0Rx+DOczafaaqFEiaTSacJhMOFPTGf+zh4lOSe2lXvd/bBVl7P5mDSebmnGd\nEU5KFy50gtFf9jOfXvsIx3fHn/67OcrLHZ/eQUzewA7lhOoyIn77AIKrPbyTmpiK8/cvQFRwr22n\nrHL3qgaWl3ccp1OsIh8sSGRsou4N3RUX0jyjc34I10ZkWWbTpk2UlJQEFDAsFgsTJ05kxIgRXb73\net0s/fiPlHlLqFQkCLDCjEch4WA0zZ9lo54KSReVFsXCv11J9vSc0+W2LP+IzE3vMqi+FnNTEAWD\n1nwY1YkxFGZPZO79jwUs254XIwajFodIaBd0FLzIQiMWg4uC8YsZP25W5zJehZriaip3lFOxo4LK\nHeU4a8NfY4kGkaSRyWSc4ZURnRFaIvJAnMtxpLH4ADv/+g4n9ogheGG4yB7hJf/+K0id03WS93AQ\nbA0Ytq7BsHkl0uG9QctrRhPKuKmtnhj5U8Hcu6G8fKrGpmovS0vDCykFMCTWwIIsMwsyLUxPM2OW\n+m75qM8zOuGiCxch0F8W+t3FVlnO+59/gSaccTNJ01g4YSwDwjw0CYSvcgXeg38H1dfhuRCRhWXM\nbxAjc/zU7H/Ibh/73t9L4UvbA8aYtCZaGXvXeMZ+J5/yhnJAH4B1/KNP0jrBuNhspMrWwDtbPqG6\nqhBJbQ5JxNAQUI3JDBkwnVsnLybSdH7i8wajxeHg2Xc+47AziuhTYaWshH77TUagTIulxmshXmvm\nxzfMJCcr8Dx5odvH7vfeoWXFMqJcbuK8XpJxkmR2hpLKwS8eWaJajqJeNNNsMtESG0vuD35ExoiR\nvdfxfkpzdSW7163hREMTdz7wgy7L6MKFThv9YT9z4qOlfPpwEZravicZM6+Fy1/u6FWB14P1iR8i\nnTxy+pEmGXA98jRqbvDfbbtX5fYV9Wys7hjOIytS4pNFieTF9k9xvD9woc8zOn1Pd20kVAHDZDIx\nZswY8vPzEf14Vm375iOKj31KhaYGDCNlElQy6w1EHhvBtb9/EGu8/zXl6heeoKB0G6m1dqQQnEa9\nsSKlCQnsGz6Xubf/KGDZ46X7Wb36LVp8RiQ1IeSQUmcm+E6MS+CaK+/r5I0BreGD7KU2KrdXULGj\nnMrCCuoP1HUrvFRUWhRp49NJG59B2vh0Usakhu2VcT7GEUWWOfD0axxYfoSKkhhUOYAXhqCRMtjO\nwIJYxv/6XswJPc9HIdRUYNi8EuOmFYgVJ4KW10wW5PHTkCfPRRk7BXoxAkobh2w+lpV5WF7mZkOV\nB19wbQ6ASIPA7PTW3Bjzs8xkR/WuN4Y+z+iEy0UnXAwbNmwkcOaK9n1gH3DmivirgwcPhixJ94eF\nfndRZZm3/vkiLrHjYDMmMZapN97aK21oqoL3yD+RSz/q9E5KnIR51K8QDJG90lZf47F7KHpjF7te\n3hHw1kJCXgLj753I8BtGYrC0/tvqA7BOMHQb0QnGxWwjZU11vLf5E2prdiKpjhBFDFANieRkTeH2\nyVcR14sxYnubispynvlwDXVaDElmDzlCEwZCXz54kDipxtLoNZEk2HnwpjlkpGd2KHMx2kfR55/i\n+OIzIp2uU2KGiyRzC2IPlqeyKlLnjaBWsGI3GmmJjCDqqmsYe811vdfxCwRduNBpoz/sZ95b8CiV\nJe0HRFGJLr694sFOh0bmV/6KcfVnHZ557nwQ38KbgrbR4Fa4eXk9hXUdL1Llxkh8siip1w9gLjYu\nxnlGp3fpqY3IsszWrVs5cOAAiuL/RrgoiuTl5TFt2jRMpq49pGorTrB82ZNUC000aIE9GlIkmRRS\nWXDFL0hI8h9xorG2iiOv/J5x9ceIrXMh+vwWPY07QeJofAqVk29iyuKbA5b1uN18+uVz1DU1omnx\nmLTOQoQ/Wr0xGrAY3EwuuJKxY2b4b6fZQ/XuKip3lFO5o4LKwoqA+Tn9IUgCySNSTokZrX/iBsUH\nDIl9vseRhqJ97Pzre5zYI9JcG9gLwxzpJXNYC6NunsjgO2/oeeOahlh6pNUTY8sqxJqK4FUsVuTx\nM1pFjDGTwNj7HoEOn8q6ylYRY3mZh7KW0L0xRsQZToeUmppqwtiTRTrn3z50LjwuRuHid3QUKbpi\n0MGDB4+H+s3+sNDvLktf/Sel3o7SaqKgcuO9D/TK9zVfM569f0BpKOz0zphzK8bcCyOfhbOuhZ0v\nF1L02s6AE3r2jBwm3DeRAZcNQjhrwNYHYJ1g6DaiE4xLxUbKmur4cOvnVFXvDDmclAYoUhypqeO4\noeBqBiSm9HU3e0RhcSGvrjqE2xBBmtFJhmAneET2dtxInFTjaPIaSBIcPHjTZbQ4WgX1i90+9q9Y\nRv2H7xPlbCHG4yNJc5NsbMEohXhVrAvakoDXalaajCYcFhPamHym/ftDvdjz/ocuXOi0cb73M/uf\neZVlf67t8GzyzSrT/vIfHZ5JhRuw/v2RDs/kSZfh/tHvgiapr3Iq3Ph1HfuaOnq/jYo38PGiJFKs\n/X9Pcr65VNYhOt2nt2xEVVUKCwspLi5GlgN7rGZmZjJz5kxiYjqGMSrfUsrXP1uCvayJmJk1+GbW\nUG5t9d71h1lQSRcEhqXPZ+aCuwK2e+TAblwfP82oxlKiaoPnw9AEcCYZORSXhm3mbRTMuTpwBWDd\nxk84cGArXjUKoxaPSGji6pneGAnRsVyx+F5iYuL9llcVlYZD9a0ixqkQU4EiSwTCEmchNb9VxEgf\nn05qfjqW2PacQf1lHFFkmX1PvULJiuNUHIoO6IUBEJ/pYMAYifG/+E6n8IXdQtMQj5e0ihhbVyHW\nVQevEhGJPGFmq4gxqgAMve8hqGka+5tkVpS5WVbmZnO1FznEFUK0UWBORntujPSI8OfV/mIfOhcO\nF51w0Rec74V+d9mzfAmbjpV2WOQbVYU7vvMdTBE994BQnWW4d/8WzVXe8YVowjz8IQxpc3vcRl9j\nL7Wx44Vt7H13j98EV6JBZOi1w5lw70SSR/k/KNMHYJ1g6DaiE4xL0UbqHDbe3foFZeXbkZSG0EUM\nwUp03HAW5i9m4oDhfd3NHvPVymV8XtyMaDKSaWwmmfBiEZ8pZKRIDn50w2WdPDIuZmoOHebAc08R\n1dhIlFcmQXGTamjBagg/OeWZ2L1matQIGg1mWkxGWpJSGPnggyTnDOydjp9ndOFCp43zuZ9RZJm3\n5/6e+pPth47xGQ7uXPOfHRKlCk31RDz6PYRm2+lnakoGzsdfgCAed5VOhauX1HLE3vEW6cRkIx8s\nSCLOHI50fOlyKa5DdMKjt21EVVWKi4vZtWsXXm9gj4CEhASmTZtGSmIKm/+ygR0vbONs51bzQAfm\n205SGeXDpQb+vU82yCRrScyf9zOSMwYELLtj/RLi17zJkIYqLA0yQpARVRPBmRieiFHfUMOSr/8P\nu9MHagJGQj+zUfAhC42YxBaGDJnA3FmBPT+g9fJmZWHlaa+M6qIqFE/oN/HPJD434bRHhi9RJmpQ\nNMOGD+vWt/qCxuID7HrqXU7ugaaqwP+uklEhfYidofMGMfKn9yAZesFTT9MQj+4/JWKsRmyoDV4l\nMhq5YFariDFyPEh94zFo86qsqfCwoszN8jI3Va7QLwqNTjCyMKtVyJiUbMIQgjeGPs/ohIsuXITA\nhShcNBw/yofLVnS8maRpXDdnFilDu054FQ5K427cxU+A7OjwXDAnYR7zG6SYoT1uoy+pL6lj+3Nb\nOfjZfjSl6/9eY6SRMXeOY/z3C4hKC+7CqQ/AOsHQbUQnGJe6jdhcLby/bQlHSzcj+mpDEjEAFIwY\nIwcwedhcFo+ahiT1/1u1L7z9HttrTFjNMECyEU147vsuDJSqsTR5DKQZmvnJbfNJTrx0klQDtNhs\n7Pjzn7CWlxLl8RIve0gRncSYwkuafjZeRaLWF0m9YMZuMuKMiCBi4RXk3xg8TE1/QxcudNo4n/uZ\n7Y89xYbXOoqMc38Qw9hf3d/+QNOw/OWXGIq3tj8SRVyP/gM1N/DexZ9oMSvNxFvzE4k26qJFqFzq\n6xCd4PSljZSUlLB9+3ZaWlr8ltE0DY6reFa5UCs7/s4nDk1k0VNXkTwqBVtDLV9/+QeqqaZGCXzg\nazrlhTEkZTaXLb43aD/XffwyeUVLGdBQF1JS7+6IGAAr177HkSO78KrRpxJ8h35w7aMFTWwk0iQw\nb+53yM7KDVpH8SrU7q+hqrCSql2VVO2sxHaie14ZkkUibVw6afnppI5LIzU/neiM6IAhps4Vh/75\nLvs+K6LiYBReV2CPhqgkF1nDvIz93iLS58/snQ6oKuKRfRi2rMawbQ1iU33QKlp0LPKEWcgTZ6GM\nnNAnnhjQ+vtV3OBjRXlrWKktNV5CTZUSaxKYm2Hh8kwz8zItZEZ2vR/T5xmdcNGFixC40IQL2ePm\nzVdewSt2HCgmZqYw/sqex3f2VXyN9+DToHVcKIgxIzCPeRTRnNjjNvqKysIKtj+3haPLj/gtY4m3\nkv/dCYy7Ox9LXOhJYfUBWCcYuo3oBEO3kXbcXg/vbVvGwRMbELxVCCHmi1ARwZzG0Jyp3DxpYb9N\n7n0m7Ym+I4k0aeR0U8g4qcZi8xhIN9h58LYFl5yQ0camZ/+OsGsnUW4PsT4vyYKLRFPPkoADNHqs\nraGmDCZazCZcmdkU/Pw/iIyN7Z2O9wG6cKHTxvnaz/hcTt6Y/WfsNe1xxlMG2/jW6ic6lDMu/wjz\nG093eOa56fv4rv1OwO9XOhWuWVLHYXtHYWRRtoVX5yRgMei/AuGgr0N0gnEubKSyspJNmzZRXx/4\nQFc5IePb5EE9LDP+3gKm/2LW6fyTZ7J59TvsK11CJSruIF4YiZJMCvHMnfNT0rPzgvZ19StPMvbY\nJjLqGjE6gg+z3RUxauvKWbLsZZpdMoIaH5Y3hoaKT7AhCTaSk1K5etH9mC2W4BUBZ72T6lMiRuXO\nSqp3V3YrVwaANSmC1LFppOWnkTo2jdRxaVgTAueg6EtcVTXs+uO/OFbYQu3xmMCFBY3knGZyxlrI\n//ldRA3M6p1OqApiyR4MW1dj2LYW0d4YtIoWEYmcPx154myU0ZPAHNr/ZXdo8qisKnezvLzVI6PW\nHbo3xvA4w2kRY3qqGeup+VifZ3TCRRcuQuBCEy4+e/lFqs/y8EuX4Orv3dej72qaiu/Iv/CdfL/T\nO0PafEzDf4Ig9n4ioZ6iaRon1x1n+3NbKdtc6rdcVHo0E+6fyOjbx2CMCP/n0AdgnWDoNqITDN1G\nusan+Ph45xqKj3yD6ipDJDQ39ta8GPGkp+ZzXcGV/T4vRhstDgfPvP0pR1xR3RYynBgoU2Np8hqJ\np5kHrp1C7oDgt+0uVoo+/5Tmr74gsqWFWO+pvBmmFgxi9/NmALhlAzVyJA2imWaTkZaoSJJvvoNh\nc+f0Tsd7iC5c6LRxvvYz63743+z80tz+QNC4+vHB5N7d7sEklh3F+rsHEHztWXCVoWNw/fopEP17\n0FU5Fa7uQrS4MsfCK3MSMEm6+YeLvg7RCca5tBG73c6GDRsoKy0jkBuuIAsMHjaYqVOnEhHh/yDc\n1lDLsiV/olqtoDqIF4ZRUEkTNTIjRrPgmp9iMgU+VE+j9QAAIABJREFUHHY5HGx57Q+Mr9xDaoMd\nQx+KGAAr1rzD0aNFp3JjxCES+g381iTfTZjEFgYPGs38uXeEXFdTNRoO11O1s90ro/5gHVqo1/LP\nIiY7ltRxaaSNaxUykkenYoo892dK5V+tpujVVZQdMONsCvx/bTAppOXZyZuVxciH7sZo7SXxRZGR\nDuxuDSe1fS2Cwx60imayoIybglwwGzl/Klh7HhLeH6qmsbvex7IyNyvK3Gyv9YV4rQwsEsxIM3N5\npoU8uYpBVo2hQ/V5Ric0dOEiBC4k4aLwy0/YUdExXp5ZVbjju9/FYDL7qRUcTXHj2fcnlNqNnd4Z\nB9+DccBt/cLt70w0TePYyqNs+ftGaor8J0KKz01g4g8mM+y6EUim7ocX0Rf6OsHQbUQnGLqNhMba\ngztZu3c5LvthJM0T0k361rwYFqzRuUwfMZe5QydcECGloFXIePrtTznqiiLKrJIj2ojCF7ziGfgQ\nKdNiqPNasMpObp2WzYwp0/uoxxcGFfv3ceT5fxBpsxHl9RGveEiRWog0hvdvezaqBg2eCGqxYjO2\nemd484Yw4YcPnnPvDF240GnjfOxnXFU1vL7wRVy29j1I1shGblry3+2FfF6sj/8AqbTdG1qzRuJ8\n4iW05HS/365yKlyztI5DNl206E30dYhOMM6ljWiaxt53iln3hzWoAzSMU82IKYHXbomJiUyePJms\nrMA34rd98xF7jn5GpaAEzYURLSqkaEZGDb6GSbNuDNrvbokYArgTDJyIS+TIqHlcdtP9Qeu00dRU\nz5KvX6LR4UDTYjFqMQghB1wFGReK2IRF8jBmzBymFCwIuS6At8VLTVEVlTtbhYyybaV4G7sXtlMQ\nBRKGJJ72yEjNTyNpWHKPzmnCwedysudPL3N4QxVVh2NQlcC2ERHnIWOIk1G3TmfgrVf1XkdkGWn/\nzlZPjO3rEJyOoFU0gxFlVAHyxMuQJ0yHqL5dc9a7FVaeCim1stxDgyf0y0ApJpVFA6KYl2lhToZZ\nz0OlExBduAiBC0W4qDtSwscr13TIayFoGjcuWkDCgEHd/q7qqcdT9FvU5sMdX4gmzCN/gSFlVre/\n3RdomsaxFUfY8tQmavb4FyxSxqYy6YdTyF00BCGEJELB0Bf6OsHQbUQnGLqNhM/+yhN8XvgljfX7\nkNTmkLdpKiKYUsnNnsyNBQuJC5L4tT/QZh8pqYk8885XnHDHEG1WyBFtRIYpZCgIVGrRVMtWRK+X\nBUOs3HBVL264LlBabDZ2Pf8PpJKDRHm8raGmcJFgdtLTpUKLz0iNEkmjZMZhNOKMiiL55tv71DtD\nFy502jgf+5kVd/2WvWvb88SJBoWb/29Ghzjhprefw7T0vQ713A88gjzd/8FZ9SnRouQs0eKKbAuv\nztVFi56gr0N0gnGubMRebmflL7/m5DcnOjwXBxswzjAjDQjsMWE2mxkxYgTjx4/HECC5cnNTPV9/\n9STVSilVikRA1w4gWZJJ1uKZOfMHZA8eFfTn6I6IAeCJEymPj6c4awLz7n0kpDptFO3dxLbtX+KS\nTUhqPAbCCyXkxQFiExFGjZkzbmFI7piw6peUlOCucWFpNFO1q5LqompqiquQXXLwyl0gmSSSRiaf\nCjOVTurYNOIGxyNKfXvY3VC0j91Pf0DpPpXG8uD7hPhMB9kjRcb95GYSxo7svY7IPqR9hRi2f4NU\nuB6xOXjeEU0UUYbnt4aTmjATLT6p9/rTBYqqsbPex8pyN6vKPWyrDT03hihAQZKRyzMtzMs0U5Bk\nQuqF8zmdiwdduAiBC0G4kL0e3vzXvzrmtdA0ZuQNZOTlC7v9XdVxDPfux9A8dR2eC6Z4zGN/hxQz\nrNvf7m00TePossNs+fsmavfW+C2XPSOHiT+cQvaMnF71EtEX+jrB0G1EJxi6jfSMmuYmPtj2FaUV\nO5DkupBFDA1QxGjiEkawaNxi8rP7Z0glf/Zhszfw9DtLOOmOIvqUR0a4QgZADZFUylF4PQr5SR7u\nvv5qIqP6v6BzLti/Yhn1H39ApKOFaK+PBNVDiqEFi6F7m/A2VA0avBHUaVbsBiMtZhPOlDQm/Oxh\nolN6nqNEFy502jjX+5mW0nJeX/wqHkd7yI/cgiau/ui/Tv9d2rMd65M/71DPN20+nn971O93/YkW\ni7MtvKaLFj1GX4foBKOvbUTTNPa8XcT6/16L19E5TGbOrAEs+PNiqhzVbNu2DYcj8E10QRDIyspi\n2rRpxAbxety56St2l7xPleCjRQ18w19CI11SSDMNYeHVD2ONjA5YHrovYviiBWrioylKHs7E7/0G\naxhrM4/bzfLVr1NeeQyfGnMqrFTo3gut+TGaEQQbMREmLp97NxlpOQHrdGUjqqy2hpjaVUV1URU1\nu6uoO1CLKncvZKcxwkjyqBRSxqS2/hmdSnxuQp+JGcfe/YJ972+ivCSigxdhV4iSSmqunQHj4xj7\n87uxpiT3XkdUBbGkGMP2dRi2r0NsrAtaRRME1NxRyBNnIU+cHdCbsbdo8qisrfScFjLKWkIL8wut\nSb7nZLTmxrg8w0xWVOhJ6XUuTnThIgQuBOHiq1deotzXsZvZJpHFd3+/299UGgpxF/8XKM4Oz8Wo\nQZjHPo5o6R+xwjVV48iyw2z5+0bq9tX6LTd4YR6TfjSFtPy+Gaj1hb5OMHQb0QmGbiO9h8fr48Od\nK9l/bAOKuxwpxLwYAApGDBHZjBo0jevGXYalB6EWe5NQ7cNmbzjlkRFNhEkjS2omDnfY7TVhoUyJ\nxukVGGRp5ke3X0lsTEK3+n4x0mKzsePPf8JaXkqkx0us7CNZcJJgdvX4215FotYXQYNgwW404rRY\nECYUMPUHPwrrO7pwodPGud7PLP/Ob9i3rj3ZqcEs860Prm2/heqwEfHI9xGb2g9d1MRUnE+8BH4O\nABvcClctqWN/U+dE3K/NTcCsixY9Rl+H6ASjL23EXmZjxS+XUbr+RKd3BquBmb+azdi7xneIllBd\nXc3mzZupqfF/cbGNmJgYxo8fz9ChQwOWczlbWPHFX6nwHKRKEZGDXIWJEBVSkRiaPo+ZC+4K2g/o\nKGKkNNhDSuwNoFgFGhIj2BM/kAF3/pqU9PCSRNfWlfP1ilewt7hPhZWKRiD0w34V5VSibzuJsfEs\nXvh9YmLiO5QJ1UZkt0ztvhqqd1e1/imqovFIQ1g/z5kYI4wkjUwhtU3MGNP7YobP5WTvX17lyIYy\nqg7HIHsDi0BGi0xabjODp2cx6uFezIcBoKqIxw5g2P4Nhu1rEWsqQqqmDBiCPHF2q4iRnkNIMXd7\ngKZplNhkVpZ7WFXu5ptKNx419DaHxhq4LMPMnHQzM9PNxJr0sFKXGrpwEQL9XbjYt3o5Gw4d6zDg\nmFWFb3//XsQAbpGB8FUux3vgKdA6HvRIiVMwj/olgqEXB9xuoqkah5ceYuvTm6jb71+wyF08hCn/\nPo3kkX0rtOgLfZ1g6DaiEwzdRvqOTUf3srp4Oc1NJUhaS3jeGFIsCQkjWDB24Xn1xuiufbQ4HLz6\nyRfsqjNjMkukGxyk0BJ2+06MlKkxNHmNRGsOvjUzj0kTJoX9nYudXR99iHPZEiKcTmK8PhI1D8nG\nFkxS6OKZP5q9JmqVCJoMreGmWmKiSf/Wt8mbPqPL8rpwodPGudzPtJSW8/qiV/G0tHtbDJnSxJXv\ntXtbmJ97HOOW1af/rgkCrl89hTp8XJffbPapXLe0jsK6jt5ki7LMvHZ5oi5a9BL6OkQnGH1hI8G8\nLLKmZjP/yUXE5sT5/Ybb7Wbbtm0cPnwYWQ7sDWkwGMjLy2PSpElYLIHDKFWcOMjadc9SJzRQIwc/\nW0mQZBLVSPJH3sLYSaHnilj94u8ZXbabjKZGzE2heSGoJrAnmDkcm07L7NsomHlFyO21cfToPtZt\neI8WrwpqHEaiwsqPoeBDFpowiA6SE1O5cuH3KCurArpnIx6bm+riaqqLqk4LGo7K5rC/04bBaiB5\nZLtnRurYtF4TM5qPnGT3397gZJGb2hMxQctbYjxk5DoZsnAkQ+6/DambZ3VdommIpUcxbF+HtGMd\nUtmxkKqpqVnIE2YgT5iBmjcKxL7PJbLn4CF22UQOkMSqcjf7mkL3XpYEKEgycVmGmbkZZiYmm3RP\ny0sAXbgIgf4sXNgqy3n/8y/QhDMGXk3jxgWXkzgoL+zvaZqG7/hb+I693umdIetaTEMeQBDObzJT\nTdU4vKSELU9vov6Af9e4vCuHMvkn00ge0YuueQHQF/o6wdBtRCcYuo2cG2qam/ho+xJOVhQi+moR\nCH2aVzAgWTLIy57I9RPmE2uN7MOedqQ37eODLz5j1WEvqslMqsFJhmAP475dK215MmrkCDSvjwmp\nMndec6UeXqoLak8eZ98zzxBZV0Ok10es7CVZcBHfC94ZqibgfG11l+904UKnjXO5nznb28Jokbn9\n/XZvC2n7OqzP/KZDHe8138Z7871dfs8la9yyvI71VR0PNBdkmnljni5a9Cb6OkQnGL1tI4G8LIwR\nRmb8ajZjv5MfVk7KkpISdu7cid1uD1o2KSmJgoICcnIChz8C2L7+E/Yc+Ywa0UuzEvxMJNkgk6jG\nMqXgLvJGTQ2p7wBr332O3INrGdBUj6VBRghh9G5N7i1RFpvAgewJzP3er0Nu70x27FzDrqLluGUT\nghqHkfAurLYKGTYkoZnE2IQuPTLCpaXa0S5kFFVRU1yNq6H766ezxYyUMakk5CYiGrovZlQuW0fR\nK8spP2iiuc4atHxUoouMIV5G3DKNgTdf2e12/SFUlZ4KJ/UN0rEDIdXRomORx01DnjADZfREMAf/\nObrD2WNIRYvCqorWkFKrK9w0ekJfrkQaBGakmZiT0Zrke0ScoVfDwev0D3ThIgT6q3ChKgpv//MF\nnEJHpXZSVir5V1wb9vc0VcZ78Bnkyq87vTPl3Ych+8bzOghoqsahrw6y9e+bqC+p77qQAENOCRZJ\nw8+NYNGGvtDXCYZuIzrB0G3k3KMoCkv3bmJbyVq8juOImjdkj+nW3BhRRMcN4bKR85iRF17ywnDp\nS/vYsGUj720qxWWIIMnkJkuwYyT8uMNNmKlQYnB4RZJEB/deM4XcAf0zZ0h/YNdHH+JYvpQop5Mo\nr494xUOywUmEMbwcJY5X13T5XBcudNo4V/sZx/Ey3rjyNf/eFg4bEb++B9HeePq9MmAIrt/8L3Rx\n+9SnanxnVQNLSzuGu5uVZuK9BUlYDbqJ9yb6OkQnGL1lI5qmUfzmbtb/z1p8LZ3nvFC8LILR1NTE\n5s2bKSsrI9iZlNFoZNCgQUyaNImIiMCH9V6vm5VfPE1ZSzFVKni1wAfeAhqpkkIiScya9QMyBw4P\n+WfYtvoT4jd+SF5TNZH1XoQQnTd9UQL18VHsjR/IoDt+GXZIqTZWf/MBhw8X4lEikLQ4DIQXPlVF\nPhVaykFc1P9n773j4rrO/P/3vXc6MwMMM3QkBEKIoi6r2pIsW467YzvrJM4mm2xiJ9uSb7LZTdu0\n3fQtSXZ/2fSsY8fpdoq75abehRoSSAIJgWgDzAzTy7339wdFwkJMASQk3/frNS80t80BPXPvOedz\nns9j47ZNHyDPMTknDFVV8Xf66R0WMXqP9UxazJCMOpzznbjq8odetfk4a1zozfq0riMnEpz84a84\ntbmJrlNZRC6q83Q5cooClFSrLPzr28lfvzrTX+GyCP096A5sQ7dvK+KpowgpzM+qegNy3TISS9Yi\nL1mDmj11VrET3UNkReXQm4p8y2n0XgrM4qit1IZiE8VZV3fRtcbUoAkXKTBThYvXfvk4LcHomG0u\nUeHtH/xw2tdSEyGix76KPHBg7A5Rj7H2n9Dlr5tMUyeFqqqceaWFXf+54/KWUALMu7uaFR9dTd48\n55Vt4DBaR18jGVqMaCRDi5GrT3NPO88efJG+vkYk2ZNGsjwoiGAooLRwIXcv2URZ7tQK6FcyPk61\nnOTHz+/Dg40cQ4Iy0YeZ9AtRxxE5r9rpi5vQxSPcWmXh/rvumoYWXz8EfT4O/eB7SKeayYrEsCfi\n5KkRnIYQOnF8MUkTLjSScaXGM5vf+0WOb71Qo0JvSvDu37+d3AVDE3XGH3wF/a5XRverkkT4Sz9E\nmXVppriiqnx4q4fftY6djFrq1POn253Y9JrP9VSj9UM0kjEVMTLY7mPzP79Ex85zl+zTW/Tc+Nn1\nLHjPorSyLCYikUjQ0NDAiRMniEajSY/Pzs5mwYIFVFdXI4oT32f6ezp49eX/wi300J2QIEnPURoW\nMZxiMRtv/Rh5BakLCs1HdhN7/sfM954nuz+CeKmr1rgoevDnGTmdXcjg6vu54ea3p/yZFxONRHjp\n1Z/T1XOOuGJFr2Yjkt7EvoJMQhhEFAaxWUxsvPl9SYt9p8KomHG0Z/jVTe+xHsL9mYsZgiiQW5GL\nq64AV60LV30Brrp8zLmpZSLEA0Eav/NzWneep7vFRjySxBpKUHHO8lNSraPukXtwrViScdsv+xG+\nAaSD24cyMU40IMjJ+/aqIKBU1AxbSt046boY6dxDBmMKO7qjvNE59Gr2pTcWqR6uj3FzsZG1hUbs\nWn2MaxJNuEiBmShcnN23m80NR8bcMHSKzHve+14MlvRsK9SYh8ihf0EJtIzdobNiWvglpJz6qWhy\nRpzb3sau/9hOd0PX+AcIMO+e+az4h1VXTbAYQevoayRDixGNZGgxMrOIxuI8f2w7h1t3Egu0IRJN\nqzaGghGdpZT5s1dw78L1WM2TS7m+mvHhGxzge79+njNhKyaDQJEugItQRtdyY6FLthKNQrFxkEfv\n20hxUckUt/j6o/PEcU7/+AdYBjxkxePkJGK4hBA5xogmXGgk5UqMZ8bLtpi3yssdvxnKtpAO7sD8\n3c+NOSf69vcTv//9l1xLVVX+cZePnzWPrcdTk6PjuTucOEzaKsrpQOuHaCRjMjGiKhdlWYTGybJY\nXcat35pclkUy2tvb2bdvH/39l3FwuAhRFCktLWXFihXk5ia3O2o6tI39h5+kX/TTJyevX6AXFApF\nlXx9Bbfc/jFsOXkp/Q4AvV0dtP7yW9R7zpDnCaRc3FsVIJor0WXP4birmhXv/yzmDC0+Bwc9vPjy\nTxnweUioNvSqPUMhw48gDGI16Vm37i8oL6vJqD1vRlVVAl0XxIye4eyMcF9m/dcRrMU28uvycdbm\nkz+coWErsU/oThLu7uXwfz7OuUNeelrtKIkkWTqCinP2kIhR/8h95N0wfv2nSREKoDu6F6lhJ7rD\nuxBCqdW/UwpKSCxajbx4NXL1QtCl938+mXtIZ1BmS9eQpdSWzig94dSzwyUBlruG6mPcVGjkBpcB\nk5a1eU2gCRcpMNOEi4jPy5O/+Q3Km+pa3Ll6BSULFqd1LSXUSeTw51DDY4UBwVSAadFXELPKpqLJ\nadN1sJOd/7593FUYMKR+jwgWjqrUH/DTidbR10iGFiMaydBiZGZztr+HZxpeoqvnCGK8L63aGEO2\nUllk2Su5oepGbp2/HElKb+JtpsXHH557jldOhUjoTeTpM7eXiiLRqdroj5sQ4zGWFyt88KG/mIYW\nX58c/u2vWfTQu8bdpwkXGiNcifHM5r/8Ase3ja1tMZptEfRj+ez7Eb0XJgvlskrCX/rBuJMeX97v\n49tHA2O2ldskXrzTRaFFEy2mi5n2nNGYeWQaI57WAV79zMuc391xyb7pyLJIxkgx79bWVmKx5KkL\nFouFmpoaFi5ciC6FosoHdvyZxtN/pk8M40lBxDAKCvmiilOazYbb/h6Hsyil32OE1x77JjVtByj1\n9WMakFOqiwEgm2Aw10SLvRDfDfeyctMDaX3uxQwOenj51cfoG3CTUK3o1BykNIUMFYX4sJBh1sPi\nRZtYsuimjNt0yfVVlUB3YNRmqudoD+7GHkLuyYkZxmzTUFZGXT75dQU461zkVjiQ9Jc+r3wnTnH4\nv39Dx/EY7jbbkJo0AaMixnw9dY/eh3PZwkm1dVwSCaTmw0gNO9Ad3IHY35PSaarJgly/fEjIWLQy\nJUupqbSba/ImeL0zypbOCNu7YwQTqXd1TBKsyDdyU6GBm4qMLHMZ0F+h+49GemjCRQrMNOHiqR//\ngAHG3gDrcq2sece707qO7D9N9PDnUWOeMdtFWxWmRf+KYJhcEaVMcJ9ws+s/tnPmlZbxDxjOsFj5\nsdU45s4MwWIEraOvkQwtRjSSocXItYMsy2w+sY+9J7cS9rciqeG0bKVUBGRdLs68Wm6p38jisuR1\nIGZ6fLS0tfCTZ/bQp1ixGhRKpEGySW7JMB4+jHQqNvwxHTY1wENr5rBqeeqFLTWG0IQLjRGmezwz\nlG3xBNHghUmqi7MtjD/+OvrtF+roqaJI+Is/QCmfd8m1/vuony/sH1tUt8gi8sKdLsptyScANTJn\npj9nNK4+6caIHJM58MN97P2fXcjRSws0lK6ZxaZvvQ17WfaUtjMdOjo6OHDgAG63O2ktDEEQKCgo\nYPHixZSVpbbIc/srT3D6/Gu4xTiDKRT11gsKBaKCQyxm/Ya/Ib+kIqXPGeHA9hewbPstVd4u7AOp\nW0qpAsRyRHrs2RzPq6Tu4U+S6ypM67PhQoyUlhbywiuP43afJ65kDQsZyWs+vJk4QVRhEIMYoai4\nkk0b3oPRZEr7OhMR7A3ibuyht7EX9/DL1+ad1DUlg4Rjbh7OWhfOGhfO+S5ctS7Mjgs1VHq37eXo\nT5/nfDN4OpNnvgiigmu2n+L5RhZ8+O04lkyDO4qqIra3IB0cEjGktpMpnypX1JBYtAp58WqU2VXj\nWkpN13MmJqvsd8d4oyvKG+ejHOhLrz5Glk5gVYGBdUVDGRkL8/ToNCFjRqAJFykwk4SLg8/9kQOd\nY+s82FWZdz76kbSuI3sOEznyZZDHKsuSYznG+s8h6CZnZ5EuntYBdn97Jyf/3HTZYyo2VbLqH2/E\nVXNli26nitbR10iGFiMaydBi5Nql2zfAnw5t5lznYdRoNxIpVk8cRkFCNbgoyq/jtgU3U11w6WD4\nWouPYCDAk888z8EeHYJBT74uRJHgR0ojU2UEBejBSm8ii1hMocwc5CMP3oorr2DqG34doQkX1zbV\n1dUG4CvAJ4Gtzc3NGzK91nSPZybKtpAO7cL87c+MOT5273uJPfjBS67zu5YQj2wdu6jKYRR5/k4n\n83PSW7mrkT7X2nNG48qTTox0N3Txyqdfor+p75J9+iw9N31uA/UPL5zQYudKMlILo7m5mXA4eW0E\nnU5HaWkpS5cuJS8v+aLKeDzOlhd/yDnPPnqRCSrJRQwdKvmSjIN81qz9EGUVdSn9LiN43N2ceOKb\n1HtacHn86P2pPwoUA/gdRs7Y8+mp38Ta+96X0nmXi5FoJMLm15+gs+sMMSWzYt8AMjESwiCSEMCe\nlcXNG/5ySupkvJmoP0rfCTfuxl56G3voa3TTf6oPJZ5+dvHFZBVYcc534qzNx1UzJGrkVjjoeOYV\nmn6/ja7TOrzdye3fBVHBVe6nZL6R+kenScQAhIHeITupgztSrosBoOTkIS9aRWLxauTapWAaEmyu\n1HPGN1wfYygjI8rJNOtj2PUCawqN3FQ0lJVR79AjzpB71VsNTbhIgZkiXHjaz/H7F14co1qKqsK7\n3/EgFkfq9R0SvduINn4L1LG+klLBRow1n0AQr9xKpsHzg+z97i6O//4Y6mXk0LIbZ7PmkzdSuCS9\ndMkrjdbR10iGFiMaydBi5PrhyPkWNh95jb7+E0iJgbRspQBkdAjGfEoKFnDnolsozyu4LuJj38F9\n/Gr7afyClWxDnBLRj5UUlwK+iQgSnaqdgbgRKR5ldZnIex/M3OLgekQTLq5dqqurq4FfAvMAK7Bl\npgoXE2ZbhAJDFlGeCxOXckk54S//CPRjV95u6Yzwjs39XDwnZNMLPHO7k8XO9FfpaqTP9fCc0Zhe\nUomRWCDGrv/YzqHHDjJe92fWunJu+dqmq5plkYz+/n727t1LZ2cnipJ8otpoNFJRUcHSpUuxWCxJ\njw+Hgrz2wv/QFWykB4goyYsGi8OFvXNxcMPy9zG35oZUfpUxvP7Et5l7dg9lg/1YBuKIaczlxrJF\nBuxZNGeXYbvjg8yrXzbucaneR6KRCK9v/y3t55qIKmYkNRsd6S+gHbGXQhjErFOpq1/HymWb0r5O\nKiSiCQZO9Y9mZbiPD73iwUtrtqSDZLyQneGqyUfuO0Pv/iP0npPwpSJiDBf2LpwrUfueWym8Ze2k\n2nNZwiGkxv3oDu1COrIb0edJfg6g6vTI1YuQF66kJbuAaF4hVfMuzbicTs4HZd7ojLCtK8r27hgd\nwfQWmeUaBW4sHMrGWFdspDpbN2NE1+sdTbhIgZkgXCiyzK9+8iNCF4sKqsq6miqqb7o55evEO54l\ndvJ7vLkHoSt7AMPcDyEIyR+YU0HQHWT/9/Zw9MnDyLHxbxhFS4tZ/U83UrZm6tXz6UDr6GskQ4sR\njWRoMXJ9IssyrzYfYO/JbQQHW5GUQHq2Uioogh5F58SVXcU7b7qP0pzUFyzMZIKBAI89/SxHBwxg\n0OPUhSkW/BnVygDwYqJLseKP6TDLITbVZnPPbbdPcauvHTTh4tqkuro6F+gATgHvBJqYwcLFy3/5\nBU68Kdvi4acfJKeuCuNPv4V+6/Oj+1RRJPyF/0WZM3/MNY4NxLnzeTeD8QvN1Ivw1G1O1hWlvyJX\nIzO0fohGMpLFSOsrLbzxhVfwn/dfss/sMLPu8zdTfX/NNTPhpygKx48f59ixY/j9l/5O42G1Wqmu\nrk65HkY46Oe1F79HV/A4bhRCKWRiCKjk62RyFCs1lXexbO29KbXtYs6dOUX309+lxtOG0xdAP5hG\n7TYRIrkS3bYcmvIqqX/3J0ZtpSZzH3l1y29pPXOImGwExY6eLIS0es1DxAmhCIMYxDCu/BJuv+V9\nmM22tK+TCqqi4m3z4m7sGRU0+k64CfamVuzOl1gjAAAgAElEQVR6IqyFViw5Kgl/P+GAQNiX2vMw\ntzhAYYXCvPtWUv7QXZNux7goCuLZk+gO70I6tAvpbOqWUtHsPMSla0gsWIFcuwzMycW+qURVVc76\nZbZ2RdnWHWVbV3qFvgHyzeKokHFjkYG5dk3ImC404SIFZoJwsfU3v6B5cGy6YrEO7vrAIymdr6oq\n8bNPEj/zi0v26Ss/iGH2lSmCGQvEOPjjfRz80X7iofFVaWeti9WfvJE5GyuuqS++1tHXSIYWIxrJ\n0GLkrUEgHObPR7bQdG4viWAHItE062OAggHJXMTsooXcvnDDdSNkwFCtjJ89t4feRBZmAxRKAVxk\nXjSxHzM9spVAXMSqhrhzUQGb1qe+6ONaRhMurk2qq6sLgC8BH29ubo5UV1erzFDhwt9yjifvefJN\n2RY+7vjNvyEd24/53z855vjYXQ8Te+jRMdvaAwlue85NV2jspMFP1+fyYMWVncx4q6P1QzSScbkY\nGTw/yJYvvUbry6fHPW/+A7Ws+/yGMf7+1xqBQIB9+/Zx7ty5lAp6AzgcDhYsWMDcuXMRxeSLRGOx\nCG+88H06fIfoE2T8KdTEAMiREjgUPSU5i7hp06OYLclX6b+ZLb/7AbOat1E+6CZrIIaYRhKBYoBg\nroF2ax4nCuuouPmdU3IfOdF8kL17/0wwJqOoNvSqDZH0HUJk4iQEP6IQwGIQWLRwaot+j0eoP0Tf\nCffwq5e+E30MnO6/7MLdlBFURFFFkVNbdGxzhSicE6PyllrmfughpBTEtIya5e1HOrx7KBujcT9C\nNJLSeaokIVctQF64AnnBSpSyinFrY0wnqqpy0pdg26iQEWMgmp6Q4TKJrCk0sKbAyJpCI3W5Os1a\naorQhIsUuNrCRVfjUZ7dsWvMl1enyLz3r96PLoWiRKqqEjv9IxLtfxi7QxAxzP84+qLpSaO7GDku\n0/ibo+z5zk5C7vEnH3Iqcln9ibVU3VWNcA0WwdE6+hrJ0GJEIxlajLw16fD28cLh12nrOowS6UZU\n42n114eEDD2iMZ+igjpuq19PVX7ptLX3avDCa5t54cgAYZ2FHH2cEnGQLDJPy3djoUfOIhQTsatB\nHlg1m7Ur10xhi2cGmnBxfTCThYtX3vdFGrdcWMU6mm1RNQvL5z6A2Ns5uk8pnk3oyz8Cw4UVo96o\nwu3Pu2nyjvUr+bfldv5hwfSsjtW4PFo/RCMZb44ROS5z6KcH2P2dnSTCl/oO2cuy2fi1TcxeV34l\nmznt9PT0cPDgwZStpERRJD8/nwULFlBeXp7SZ8TjcbZv/j/a3DvpExP4UhQxzKKCU1DJk8q4af0j\naRf3Bujt6uD0r/6TOk8rLp8fgy+9SdyERWAwx0SLrQDP4ttYc+fDabdhPLzefja/9nMGvH3ElSwk\n1Y6OzAp1D2Vl+NGLIXKsuWzc+DAuZ8mUtPNyyHEZT+sAfceHBY0mN+7jbkLuyWdnpIIlJ0LBnDDl\nq2dT83fvQW9NX+BKiXgMqekw0uFd6A7tQnR3pXyqkpOHvGAFiYUrkeuWQdaV7wsoqspxz5CQsbUr\nyo6eKIOx9LpR2QaB1QVG1hYYWDNc7Ft/Dc5zzgQ04SIFrqZwkYhG+MVjjxEXL3pIqSp3rlpBycLF\nSc9XVZlY03dJdL08dodoxFj/WXTOlVPc4jd/vkrry6fZ8c1teFoGxj3GVmJj5cfWUPNgHaLuylhV\nTQdaR18jGVqMaCRDixENgLP9Pbxw+FU6eo6hRnuQSK+YHICMBAYX+c5qNtSsZ3FZ5TS09OoRDAT4\n6VPP0OgxIhp0OHURioVBdBkU/oah4t9usuiVswjFBBxCgHdtmM/SBUuntuFXGE24uD6YTuFi5LmT\nCQnvINs++OIY64q5KwaY97UPUPjGnyja/uzodhWBk+//FKHSC/eiqAL/cMxIw+DYybh3FsX5x4r0\nBFwNDY0rz8Cxfo595zCBs5daKAmiQPmDlVS9rxqd+crV0LzSKIpCX18f7e3tKVtJCYKA3W6npKQE\np9OZUiZGIh7nzInX6fHvxyPF8Mip/U2l4eLetoSNkqL1lFUuT+m8N9Ny4DXKW3dR4e8h2xtBCqXX\n34rbBbx2C63WAjoqV1OxZENG7RiP403b6HWfJqYaQLWjV60Z2UsN1coIgODHIETJzS2jdu569Kbp\nr7EU9UTxt/oYbB3E3zrIYKuPQJsfNTF9U5HGrDiu2X6ccy04H1iHoXSaasqqKsaBHuwtx7CfPoa1\nrRkxxQLfqiAQKi7HP6eWwYpagiUVIF35+4mswsmgwH6vxH6fxKFBkZCcXoyZRZWFdoUldpkl2Qp1\nNgXjtTv9OS1cbg5EEy5S4GoKFy889lM64mPV7blWIze/+31Jz1WVONHGbyK7t4/dobNiWvSvSNm1\nU9nUS+g60Mm2r22ha//5cfeb88ys+IfV1D+8EJ3x2u/MaBOOGsnQYkQjGVqMaIxHc087Lx99nfPd\nRxET/Uikn2KuIKLoHDgcVayZt5ZVc2qRpNRW7l0rtLS18PPndtEdt2EwCDilEIVCAGkSYkYPVtyy\nhUhMIFsNcvcNJWxYs25qGz6NaMLF9cFMFS7av/UkR1+2jr7XGWTWf2cZdoeB+T/6MqJy4V7lXraB\njjveM/peUeFzzQZe6Rs7Brg5L8HX58eQtMjV0JixRL1Rmn96nI4Xzo27P6cml/r/twh75cwtvj0d\nKIpCR0cHXV1dhMPh5CcwJGLYbDZKSkpwuVwpiRgArce30uPZzaAuRG9CQk1xot4hJciR9eQa51G1\n4B4MxvSzFaKBMB17/0RtbyOzBgeweNKzlQKI20U8djMt1kI6q9ZSMYW2TV09Z2hp2U44oQzbS9kz\nspeCEYupQUQhiEmnUjZrOeWldVPW1olQEgqBcwH8Z3z4Wwbxnx3Ef8ZPxJ1abKWDIKpkFwTJr5Ap\nuq2erLXTt3BHiEexnjuF/fQx7C3HMA30pHyubDASmF09KmRE8wqvuK0UQEKB4wGRAz6Rgz6Jw4Mi\nYSW9dugFlXqbwpLsITFjoV3Bcn0NzdJGEy4mwdUSLk7v2MLrjc1jvohmJcHDH3oUMclkgypHiB79\nCvLA/rE79DmYFn8NyZZ+umCqeM542PnNrZx+YfyBkM6sY+kjy1n66A0YbddPsT1twlEjGVqMaCRD\nixGNiRiJj4hFx6uNr9Pb1wwxd0ZChoqALNqw2GYxv2wJd9StxWo2T3WTrzonmht5fPNh+pQsTHpw\n6UIUEGAyC5z6sNArZxGIS5jlEOvmmnnH3ekXxbwSaMLF9cFMtIqSozF+vvYb+N0X/OrnLPFw7x++\ngukbH0fXdGh0u5LtIPSNx8FyQeT44j4f3z0WGHPNVfkG/vA2J2adFrZXC60fojERSkLh1e9s5uT/\nNZEIXDpTbcw2ceNn1lH3zgXXpPXzVBKJRGhoaKClpSVlEUMURZxOJ3V1dVRUVKQsYpxrOcruXY/h\nUXvoVQRiamrnGQUFl6iQjZPFC97B/MWZiQcedzfHfvmf1Ay0UOD3YfLICGk4S6lAPFvEY7PQYisk\nvurtLNtwd0ZtGY9w2M8LrzxOn/s8MdWEoNgyLvoNF1tMhbFbbdy45i8oK71ymc1RX4T+k/30Nbvp\nb+6jv7mPvqY+or7UakqkgmSQsebEKap3UPPXb8NVX4w5d2rGCW9+zgi9nUhH96E7sgfpxMGUa2MA\nKLlO5LrlyPXLkeuWodpzp6SN6ZJQVI70x9nRE2Vnd4xdPVG8aVpLSQIsytOzpsDI6gIDKwsMOE1v\ncSVjGE24SIGrIVxEfF6e/M1vUISLHjqqyoNv24Rj9pwJz1UTQSKHv4DiaxyzXTC6MC35OqJlenyv\nQ31B9nx3F8d+eQQlcemTShAF6t65gJUfX4O1wDrOFa5ttI6+RjK0GNFIhhYjGhNxufho7mnnlcat\ndPU0okR7EYmnPRRTAVkwojMVUlJQx6bam6jML56ahs8w9h3cx+92nGJAtWIxqORLQVwEJyVm+DDS\no1jxxfXoElHqnQn+6u13k2W9uv0dTbi4PpiJwsW+z36bnU9eEE0FUeHB769gti2G6UdfG3Ns5G8+\nT2LVLaPvnzwV5O+2e8ccMy9bx0t3ucjVfBOuKlo/RONynN/bwRtfeJW+E+5x99e8o44bP7MOi3Oa\nPPOvYXw+Hw0NDZw7d45oNJrSOYIg4HQ6qa2tTbmwN0DA7+WNF79PT7iJ/jSKe8NwNoaip8Bay7rb\nHsVqy0n53IvZuvkZshqeo3rwPI7BIHqfkla/dETI8NosnLW68NTezNr7kjuOpENr63F27nkafyiM\nrI7UyshsUa2KSpwgqhBAL4bJtuZw401/QWnRxPN2U4mqqoR6g/SNCBnDosbAyX4SkfQtZ8dDZwTn\nfCf5C0txVOWNvixOC0IaWQ8TPmfiMaRTx5CO7Bl6nT+bVhvlWZVDQkbdcuR59WC8OouyFFXlhCfB\nzmEhY0dPlN5wenViAObadawsMLAyf+hVlf3WLPitCRcpcDWEiz/85If0vUkpX1roZNk99094nhrz\nEjn0OZRAy5jtgqUE0+KvI5ryp7yt8VCMhp8cYP8P9hIPjp8jOOfWStZ+6iby5jmn/PNnClpHXyMZ\nWoxoJEOLEY2JSDU+2j1uXjq6hbauoyTCXUhEM1pTpiCh6h3k5s5leeUK1s1ddN3ZS43wxs6tPLPv\nPINCFlkGhQIpiJPQpK4ZQk+3asWTMKLG45RbwnzogVtx5RVMUauTowkX1wczTbiQEwl+uf7fGOi4\nUDCztMbDg7//FJZPvw/Rf0GUSNTfQOST3xrNIN/VE+XeF/u42Am3wCzy8l0uZtuufevYax2tH6Lx\nZgI9AbZ/dQvNfzox7n7HXAc3f3UTpavKrnDLrk18Ph+HDh3i3LlzRCKprSwXBIHs7GwqKyupr6/H\nYEit5kI8HmfPll/Ten4LXimMOyFBij1Cg6DgFBWy1Vzqqu9k0co7UzoPLr2PHHjjWfS7/0ilv5tc\nfyhtIQMgYRXw20y0W/NoK13Eqnf8DeYpXhyydecfOXVqP9GEiKra0Kk2RDLr96ooxAmhCn70YuSq\niBkAiqww2O6jr6lvODtjWNBoHRjyRJ0CTDmmMUKGoyqPvKo8sgqs4woa6TxnBE8fUuMBpMb9SI0H\nEH3j180dD1XSoVTWItcsIVG7BKWyFvTTX69k3LaoKi2DCXb2xNjRHWVnT4z2QPoZ87lGgRUuAysL\njKzIN7DUqcdyDdcJThVNuEiBKy1cHH/tZXacPjvGIioHmb945CMTnqdE+4kc+gxqcKzXpGitwLT4\nqwiGqU2bUmSFE79vZNd/7iDYExj3mPyFBdz02fWUrp41pZ89E9E6+hrJ0GJEIxlajGhMRKbx0Rfw\n8cLR7bScbyAa7EBSwxkJGSogi1kYLSWUF9ZyS92NlOW6MrjStcELr23m5WP9BLBgNijkS6FJZ2bE\nEOlWbQzIJmJxlWw1xJ3Li9m4dv2UtftiNOHi+mCmCRdH//NnvPbfYycP7v7XOdTKZ9Bvuaggt15P\n6Kv/h1owlO191p/glmfc9EcvzJaYJHjuDhfLXFdnMkFjLFo/RGOERDTBof87yN7/3jXu4kR9lp6V\nH13N4r9ehmS4Phc1TDeDg4McOnSItra2lEUMAIvFQllZGQsWLCA3N/U5ntONu9l/8Ff46MOtiERT\ntJQCyJFkclQJh34WK9f8JcWzqy97bLL7yJ7NT2M58PyQkDEYQj+Y/gy6bIJgtoEuay6nHZUsfOdH\nyXUVpn2diRgc9LD59Sfo7+8mrpgQVDs6LBlbTKkoJEZtpiLkWHNZe9M7rriYAUPfb+8ZDwOn+uk/\n1U/H6430n/YQDYmkKm4lw2Az4Jh7QcjIrXSQW+mgJ9KLKInpP2dUFbHjzJCIcWw/UvNhhFhqGUwA\nqt6AXFWPXLsUuWYJypzqq1Loe4RzgQS7emLsHBYyTvnSz4zRDdtLrcg3sKrAyMp8A4XXYaEMTbhI\ngSspXIS8Hn7129+OsYgSVIV3P/ggWXmXz1ZQIm4ihz6NGhpbCFvMrsW08F8R9FOrRp/f086WL7+O\nu7F33P32smzWfuomqu6qfsv4W2odfY1kaDGikQwtRjQmYqriIxKL8tLxPRxr209gsA1R9iFmUMBa\nVUERJNA7yM6ew6LyZdw8bxlGg35S7ZvJHDx6kN++cYJ+1YpRL5AnhSkU/OgyLAA+wgAmehUr/rgO\nMRGjyh7lfffdMunsDE24uD6YacLFrzd+np6WC0V3Cyp9PPzDd2L5yt+POS76wF8TH7b3GIwp3Pac\nmybv2IH5z9bn8kCFBY2ZgdYP0VBVldMvnGLH17fgO+cb95jiW0q54+t3X5f2z1eLQCBAQ0MDbW1t\nKdfEANDr9RQWFlJbW0tpaWnKllLhUJBtm39Cp/cwPjFKn5x6NoaASp4kk60YcFmrufHmD5LtuLCQ\nJd37yJ4Xf4+14Xnm+HuGMjIG039cKXqIZOvotdpptRdju/lhapauSfs6yWg61cC+fc8SCEeRVQuS\nakVH5nZEI2KGKvjRDWdmrFp9D+VlNVPY6tSR4zLtrx6m8Wev0NsSJeAxoshTu6Jf1ItYirMomF9I\n7lwHuRW55FYMiRqm7DSKxcdjSKcbh0SMxv2IZ08ipDH3rJrMyNWLkGuWINcuRSmrhBS/P9NBb1hm\nV0+M7d1R9vbGODoQR8mg5zbLKrEqf6hGxop8I7U5OqRrfE5WEy5S4EoKF0//5If0v0n5Xl1eSv2m\nOy57jhLuJtLwadRI95jtYu4STAu/iCCl8eVPgu+cl+1f38rp50+Ou9+UY2LFx1az4D2L0BnfWune\nWkdfIxlajGgkQ4sRjYmYzvjY39bE9uaduPtOosbciCQyz8oQzOjMhZS4qtlQs5b5hdd31uW5jnP8\n/NlttEcsSAYdDl2EQsGPKYOi6RcTQ6JHzWJANhONq9jVELcucHLHxk0pX0MTLq5Nqqura4Haizb9\nDjgOfPGibc83Nzen7Gc2VeOZ1if/wDOfHWtJu/Fv7awY3IXUcWZ0m1JURujffgp6A7Ki8q5X+tl8\nfuzKyE8ttvGZJfapaJbGFKH1Q97a9BztZtu/vcH5PR3j7nfWupj7SDWOBXlajEwjgUCAw4cPc/bs\nWUKh1G0rRVHE4XBQVVXF/Pnz0elSn49pbdrP/v2/xqt206cKhJXUJ3B1gopTlLErFkqcyyiYvRaD\n0ZRxjOx8/pfYjrxGRaCbHH8Ig09BSPMJpgoQt4v4rCY6spycL1vIygc+MuX2UgAHGt7gWOMbhKKJ\nYTHDho7M5+BUVBKEUYQAkhDGbNAxb94K1qRh1zVVxANBmv73l5zddZaeM2aCnqmbWxwPs9NCboUD\nR+WQoJFTOfRve2k2YjJLpIAP6XgDumP7kZoaEHvOT3z8m1CzbMjVC5GrFyNXL0SZPRfEq5e9EIgr\nHHDH2dMbZU9vjH29MQbj6XflbHqB5S4DN+QbWO40sMylJ+8aK/qtCRcpcKWEi2OvvMiuM+1jtjmQ\neXACiygl1DkkWkTHZj5IeSsw1v8LgjQ1adexQIx9/7uHhp/sR45eOhCXjDqWfHApyz+yAmM6Kul1\nhNbR10iGFiMaydBiRGMirmR8dHj7eOXYNlq7jhEPnc/YXgpAQUQRbZiyiikvrGHD/NXMzpv6mlsz\nCd/gAP/39Es0eQ2oegPZuhiFYgAbsUlf24OJXiULf0KPEI8xxxrlUx96eNxjNeHi2qS6uvpLjBUp\nxmNOc3Pz2VSvOVXjmafu+Bwdxy9Yk+SWBPjAZ6ow//7HY44Lf/rbyDVLAPjMHi/fPx4cs/+BOWZ+\nuj43rYKeGtOP1g95axLoCbDzW9s48VQj4yUQGrNNrP7kWhY8vIiWM0PCpRYjV4ZIJEJjYyOtra34\nfD7SmVvLysqipKSE2tpaXK7UrT1jsQg7X32cc+69+MSh2hhqGr1A43B9DJuazdxZN7N07dvR6zPP\nxj2yfwux139Dpb8TZ8CPySsjZLA2RDZB2G6gJ8tOq72UvNvey7z6ZRm3ayKmWswAkImREAKIQhCD\nJJPvmsWGmx7Cbp9aS/iJaP/Ty5z+8y56ziToO2dFjl+ZCXBRL5IzO2fUbiq3Yvg19/JZGkJ/D9KJ\nBqTjDUgnDiIOuNP6TNWcNWQtNX8RcvUilPJ5oLt6WeWyotLkTbCnNzYqZpz1Z7ZIao5NYrnLwDKX\ngeUuAwsceozSzO2PacJFClwJ4eJyFlEPv+NBLI7xLaKUYPuQaBHrH7Ndcq3BWPcZBHHyXypVUTnx\nVCM7vrmNkDs47jHz7p3P2k+vw17y1l4xpXX0NZKhxYhGMrQY0ZiIqxkf0Vic108e4EjbQbzeVogP\nIKoymc45KogoUjYWawkVRXXcUrOKwmzH1DZ6hhEMBHj6pZfZ2xEnIlqw6GWcUhgXQaRJWk098sgj\n427XhAuNEaZiPNP1ynZ+9+hO1ItsI9Y+EGN9YCtC7II/e3zt24g++hkAHmsO8v92esdcZ6lTz3N3\nuDDrtPCcaWj9kLcWsWCMhp/sZ//395IIX+qvLkgCC96ziFUfX4PZMWTppsXI1UNRFE6fPk1zczNu\ntxtZTn3SUpIkHA4Hc+bMoaamJuUC3wDnzzaxe+fjeBMdeAUZr5yes0aWKJMrgFXNprxkDSvWPTQp\nIaPrfAstv/9fqjxtFAR8WHxxxAzWhagixOwiXqtlKCujuJ7V75ierAwYFjOOvUEoNnVihoJMQgiC\nEEAnRLFZbNxww91UVS6YolZfnnCvm+Yf/Y72A+fp6zAy2Ht1bB/NeeZRq6kLP3Oxl2Uj6YeFFVVF\n6D0/KmJIxxsQ/d6JL/wmVIMJeW7tkL3U/EUoFTVgME7Db5Q63SGZvb0x9vTG2Nsb5VB/nHgGRdcN\nIixw6EeFjOUuA3Ns0oxZXKIJFylwJYSLp3/yA/rVsWrl6jll1N96+7jHK4GzQ4W4Y54x26X89Rhr\n/wlBnLxN0/l9HWz98uv0Hu0Zd3/+wgLWf3EjxctLJv1Z1wNaJ04jGVqMaCRDixGNiZhp8dHucfPq\n8Z2c7TpGNNSJpAQyzsoYrZehy8FqK6OqZAEb568kz2qb0jbPRE61nOQXL+2lK5aFaJDI0cUoEAJY\nubQY6uXQhAuNZEzFeOaZ+z9H68ELKzttzjCPvi+O6eDW0W1qlo3gN54Aew47uqPc92IfiYs+udgi\n8to9+ddl8cjrgZn2nNGYHuS4TOOvj7LnuzsJuce3Ipq9YQ43fW49efPGLqLUYmTm0N3dzbFjx+js\n7CQaTb1IMYDJZKKoqIj58+dTWlqa1rmNB1/jWOMz+HAzoEJQSe9+bhYVHIKCVbVRlr+C1RsfxmDI\nfALf7+vnwK/+h4reZopCHmz+KLpAZo88xQARu47+LCttWQWEFqxnzZ3jZ7VOBXsPvsqJxm0XiRmT\nq5kBl1pNmfQCRcVVrF97P2bz9PWru17eSvPvt9DbGsV9zkoimvqcpCCoQ0t41KnrtgqSgL3ETs6c\nXHLKc8kuzyGnPJecObnYS2zoe9uHMzIOIjUdQggF0rq+qtOjVMwfEjLmLUCeWweWq1v3J5xQaeiL\nsbc3xu7eoZ8D0QyUDMBhFFnmvCBmLHMZyDVenRogmnCRAtMtXBzb/AK7zo71kcwTFB740IfHPV72\ntxI59GmID47Zriu8FUPNxxGEyQ0EBjt8bP/6Vk492zzu/qz8LNZ+eh3z7699yxTeTgWtE6eRDC1G\nNJKhxYjGRMz0+JBlmd1njrO3ZS99/adQY32IxDMXMwAFHegd2O2zqSlbyC3VN2A1T25Ady0QDAT4\nw+bN7GmLEZHMWPTKhNkZmnChkYzJjmc8R5v45YN/HDMRsfLmAW5Vd445LvKBT5LYcDfngzIb/tyL\nO3JhwGzRCbxwp5NFeVNjZasx9cz054zG5FBVldPPn2Tnv2/He8Yz7jGOqjzWfX4Ds9fPGXe/FiMz\nk0AgwNGjR2lra8Pv96d1riAI5OTkMHv2bOrq6rBYUl85H4/HObDjaVrObWFQ8NGviETV9CY3jYJC\nnqhgVbIozlvMmpvfizlrchPsO174DdYjrzAn0ENuIIjJl5m9FEDCIhCy6em1ZHPGXoLj1ndRvXDV\npNo3ESeaD3Kw4UUCoSAJxQhY0atZCExu0lghQUIIAUEkMYLFaKJ6/mpWLku9dlqqRAe8NP/4t7Tv\nO4e7XY+vOyut8w2WOAaTgiAaiMeNRHyTt1q9GEESsJdmkzMiZpRnU2j3kxdvx9pzEt2pIwiBweQX\nughVEFBK5qBU1Q9ZTM1bgOosJOP09ClAVVVODybY2xvjgDvOfneMRk8cOcMeYaVdGhIynENiRm2u\nHtMVyJ7VhIsUmE7hIjTQxy9//xTqRRZRoqrw7ocewpJzqVfdZUWLotsxzP8ogpD5zSwWjHHg+3s5\n8KP9yNFLU0Ulo8TSR25g+d+uwJClDTjejNaJ00iGFiMaydBiRGMirsX48IYCvN60j6aOI/gHz0HC\nm3HhbxgRM/Sgz8VmK6WiqIb185Zf9zZTI5xqOcmTL++jM2pBNOjI0cXIFwJ84pG/Gvd4TbjQGGGy\n45mX3v15mnZmj7432aL83V0tmLpbR7fJ5fMIf/EHRFWBO593c6BvbNbQExsd3DP7+hcer2WuxeeM\nRmp07DrH9m9spedQ97j7zQ4zqz6xlvp3L5ywCK4WIzOfRCLB6dOnOX36NG63m0Ti0rmdidDr9Tgc\nDsrLy5k3bx4mU+rZEOFQkJf//D28kWb8ugj9skQizVX0BkHBISpYFRN5lkqWrXqIorK5aV3jzfR2\nddD01P9HxcAZioJesgZj6EKZPRZVAeI2kYDVSLc5h7bsUsruej/lc+sm1caJ8Hr7eW3br+nv7yQm\nS6BakVQrEpO3hx+qnRFEEELohRg2q53ly+6aUrsp964DnPr1ZrpP+envsBDypWexZHOGsOYmsORY\nMZbOIRo24G0dwHvWixzLUJG6DIIkYHlL6RwAACAASURBVC+zM3u2Qnmel0JdNzn+VvRhX9rXUnLy\nUObWIVctQK6qR5ldBbrJu+NMhlBC4XD/kIgxImZ0BDP7G+oEqM3Vs9ipZ3GegSVOPbW5U18vQxMu\nUmA6hYunfvwDBhibIbGmYhZ1t7ztkmOVQCvhhnFEi9J7MVR9JGPRQlVVmv9wgu3f2EqwZ/z0qKq7\nq7nx0+uwl2WPu19D68RpJEeLEY1kaDGiMRHXS3z0+r281rSH0+cbCQbaERM+hEnUy1BVUAUJRbJh\nshRS4qpiZeUyagtnIUlvbTsaTbjQGGEy45lwdy8/3/gTosELC5eWLe3idvuBMceFPvc/KPMW8NEd\nHh4/OdZ+5lOLbXxmyVu7Ht61wPXynNG4QM+Rbnb9x3batpwdd7/OpGPJh5az7MM3YLQnn0zUYuTa\nw+fz0djYSHt7O36/P60C3wAGgwGn00lFRQVVVVXokky8Xhwjfm8/u7Y8Tre3kYAYpl8RiaWZkSGg\nkivJ2FQJu+iiqvIW6pdvmlSdDICtf/gZjqYdzA66yQkFMfpkxPQ0nlFUAeJ2kUCWkR5zNm3ZpRS9\n7b1Uzl80qTZORDQSYc/BF2k5fZBIXEFWzYjDVlNCxkuELpAgjCwEEYUwBknG4SjipjX343JOziq+\n+cQJAlv3M7jvDO6zMfo6soiH0/u/tLlCOIqi5FdmU7huNUJOCZ7WATwtA3haB/Ce8V52bjMzVHLN\nIWY7PFQWDVJq7cNKehkZAKrBOGQvNSxkyJU1YL36c6zdIXlYyIix3x2joS9OIJFZt1EvDosZeRfE\njJpJihmacJEC0yVcpGMRdVnRoux+DHMfzbhoSl+Tm9c//yqdezvG3Z9fX8C6L95MyYr0fA/fimid\nOI1kaDGikQwtRjQm4nqOjw5vH6+f2MPZrkZCwfOI8iAimXmyjqAiIAtmdCYXztw5LJi1kLUVCzEa\nJr867VpBEy40RpjMeGbrR75CwwsXVtzqTQn+ft1uLLELhS3jq28l+pF/GbcY99vKTPzqFgfiDCny\nqHF5rufnzFsN9/Fedv/XDlo3t4y7X5AE6t65gJX/bw3WgtR92bUYubZRFIW2tjZOnjxJd3c3sVj6\nFjwmk4n8/HwqKyspLy+/RMiYKEbCQT87X3+Czv5DBMRgRtZSMFTwO0dQsSpW8nPrWb3uYWw5eWlf\n52I87m4OPfVDZvedojg0gD0QQT+oIGT49FQFSNiGxQyLnbP2UvJvfZh59csm1c5knGo5yr59z+IP\n+UmoRlCz0KlZiEx+pb+KMlw/IzQsaCjk5OSzauW9lBaNby93SfveFB/xQJCWx//IuR1N9LUL9J+3\noiTSiwmbM4yjOEJ+hZ25D6wjf/1q4qEY3jYf3jMevGc9eM948LV58Z7xEOwNpveLj4PdGGZWTj9l\n2QOU2j24svwZLcJSCkqRK2uR59aiVNSglFVe9awMWVFp9iXGiBknvAmUDL8LI2LGkjw9i50GFucN\nZWYYUhQzNOEiBaZDuIgM+njy179GScEiSgmcGRYtxqYmTUa0iA5G2f3tHRz+eQPqOAZnFlcWa/75\nRmrfUa/VsUgRrROnkQwtRjSSocWIxkS81eKjta+LrU27aetpIhLsRFT8iOPUd0iHIaspAxgc2G1l\nzC2uYUP1cpwzYLXTdKAJFxojZDqekRMJnljzVXw9F/ypF1af556ihtH3qsFE6JuPszeRw50vuIlf\npDlW2iVevTufnKtU0FEjPd5qz5nrkf6Tfez5zk5OPXfyssdUvq2KNf98I4656U/0ajFyfREKhThx\n4gRnzpzB5/OhKOkvGjGbzeTn51NeXk5FRQVnzpwBUouRWCzCrtd+SUfvPvzCIAOqSFhJ/3mhQyVX\nJ2NTdNh0hcybu5GaJRsnnZXR0nSYrhcfp8LXTkHIR1YglnHhbxgRMwSCFgN9Fhsdlnyi9etZe8c7\nJ9XOZEQjEXbue5azZ48SiSWQVTOCmoUey6RrZ8BQQXCZCLIQQhDCGIQ4NmsOixbdSk310jHHJruH\nBM93c/KnT3P+UCcDXTq8XVmoadqNWfPC5BZGcM4yU3bzYmY9eDvSRWJALBgbFTG8Z4d/Dr8PuTMT\nNYy6OKV2D6XDQkaJ3YNeSv/7pOoNKHOqh8SMyhqUylpUR35GbZpKAnGFQ/3xUSHjUH+c9kDmNl2G\nETFj2GZq0bCoMR6acJEC0yFc/PlnP6JHHvu3X1s5m9qNt43ZNtWihaqqNP3hONu/toWQO3TJfskg\nseRDy7jh71ZhsGp1LNJB68RpJEOLEY1kaDGiMRFafMCJrjZ2nT5AR+8pwqFORNk/KZspGBIzVCQU\nMQu9OR9X7mzqSutYU1GPyZCeB+9MQxMuNEbIdDxz5Bs/4vXvX8j4FgSVv131OjnGC+OI6AN/Tcem\n97DhmV66QhcG6Vk6gVfudlGT+9bJcrrW0Z4z1y6e1gH2/vdumv54nMtp/MUrSrnx0+soWlac8edo\nMXJ943a7aWpqorOzMyNbKQCdTofVamXevHlUVVWlX+x7+1Oc6dhBAC+DKHjlzFafW0SFHEHBoprI\nNc1h8bL7mDUFdRv2bH4a3aHNzA704AwFMAfiSBnWyxhBNkPEqsdrttBpcdBdMI/lDz6KLXtyWSTJ\n8Hr72brzKdzuc0QTAopqRlSzpsxuCiBBFEUIgRBCJ8Qw6g0UFFZzx6Z3p3S+72QLp3/xPF2N3Qx0\n6fF2WVDTFLcMlji5xSHyigSKl5ZT8Zf3YM53jXtsLDAsapz14DnjwXd26N/es55x51AvhygoFFgH\nKc0eoGxY0LAZo2m1ewQl14lSWTskZlTUDNXKMKf+vZou+iIyh/vjNPTFOdQ3JGZkWi8DwPuB8W3I\nNOEiBaZauGjdvZ1XjxwfU13egcyDj3xkzHGXFS1K346h6sNpixbuE27e+PwrdO47P+7+8pvnsP5L\nG8kpv7QouEZytE6cRjK0GNFIhhYjGhOhxcf49Pq9bGneT0vXCQYHz0Hci0hs0sOtoewMHarOjtlc\nSJGzgiXlC1hSWnXN1M7QhAuNETIdz/z21n+h61TO6PvKoh7eVb1v9L3iLMD31Z9z72t+dvWMtRx5\nbIODt8/RinFfS2jPmWuPviY3+763h1PPNqNexsejcEkRq/5xLbNunJ2xxfQIWoy8dVAUhe7ubk6e\nPElXVxeBQGY1A3Q6HTk5OZSUlFBVVUVubnrzTWebD9Jw8A94Y+0ExDgDSvoFv0fIlmTsQJZqw5VT\ny8ob30W2Y/wJ7HTY8cJvMB17g1mBXpxhP2Z/POPi3yMouqEi4H6LiR5zNu22Yuw33svC5esn3d5k\ntHe0sGvPn/AN9hFT9KiqBUnNQsfULeiRiSMLIVQhhI4oRr2EK382q1fcQ94EGQb+lnOceuJPdB3r\nYaBLwtOZlbaQIeoUcouC5BQkKKh2UvkXm3AsqU96XtQfHRU1vGe8eNuGhA3fOV8KNTVUsk3hUWup\nEruHfKsfMQMvMhWBaHYRiVlVCDX1CNW1KLPmwgxYcNUXkTnUF+dQf5yGvhiH0xAzNOFiEkylcJGI\nRnjiscdIiBcGvIKq8q7778PqKhjdpgTbCB/85ykRLaKDUXb/1w4OPz6+LZS91M76L21kzq2Vk+7I\nvJXROnEaydBiRCMZWoxoTIQWH6kTiUXZ0XqUo+eO0D9whkS0D0kNTcnasSFBwwj6bKzWYsry57Gq\nchFV+TOvHpgmXGiMkMl45vzzr/PU3+4fY9Hw3sU7mZUzMPo+/Pdf4h/lxfzoxFhrhY/VW/nyDden\nBdv1jPacuXboOdrNvv/ZTctLpy97jKsun1X/uJY5GyumbJyvxchbF0VRaG9v59SpU/T09BAKpb76\n/GJEUcRms1FYWMicOXMoKSlBFFOfeA74vezZ8ku6+o8QFP14VIGgktmCEnG48LdVFbEI2RQ66lm2\n+sEpETP2bH4a6dArzAr24Az5sQTi6IKTn1pMWAQiWTp8ZjPdZgddjnKq73kvRSWVk752Mo4c3cHR\nxi0EQwHi6oigYUGHKfnJKTJURyOCIoQRhDB6IY7FbGZW+SJWLrkNo2nsZwXOdnDq8T/TdbST/k4J\nT1cWqpy+/ZXNFSInP4qj1ETJqvmUP3QnemtW8hOHSUTiDLYP4js3JGSM/Bwc/pmIXFr5XS8mKLT5\nKLF7KLF7KbF7Ms/KUAV8ohO/rZRo4VyonI+uvgb77DyMtqsraLjDMof6h7IyGvrjHO6Lcz50qZih\nCReTYCqFi5ef+BltkbH/QUsLnSy75/7R90roPJGDn0SNecYcpyu9D0PVR1LudKiqStPTx9n+9cvY\nQhklln1kBTf87Qp0Ji2Fe7JonTiNZGgxopEMLUY0JkKLj8khyzKN3WfZffogne5TRMPdiLJ/0kXA\nRxgqBm5CMjiw20uZnT+XG+YsoMJZNCXXzwRNuNAYIZPxzLMPfI6WAxdWxrpsgzyydOto0nhi/mJ+\n8dBX+dDWscW4NxQb+f2mPHRanbxrDu05M/Pp3H+evf+zm7Y3zlz2mLx5eaz6xFoqb6+a8oWJWoxo\njKAoCq2trbS2tuJ2uzMWMgCMRiO5ubmUlJRQWVlJdnZ6wveRfZtpPvkyfrmXgJjAI2eelSGikiPJ\nWBGxqDZc2dUsW/UgeQWTX6By4I1niR94mVmBblxhP1mhKHq/gjDJrqgqQsIqErLo6Tdb6TQ78ZbV\nsfLev8ZstU663clobT3O/oYX8Q32E1ekYcspy5RaTgEoJEgIYVTCiEIEg6Rgt+aycNEtzK9aAgzV\nyGj5xZ/pOtzOQBd4OrOIR9K3G9MZZLILg+Tky7gqcym/cw0FG9Zk1G5VVQm5Q8NixlhBY2y2horN\nGBkjZBTZfOjEzAIkoYj0BOz0Rh0MGosJ581CKavAVpqLvdSOvTQbe6kdY/bUCU+p0hseycyI0dAX\n53B/jOPvHH/MpAkXKTBVwkVX41Ge3bFrjEWUVUnw7g//zeh7Jdw9JFpE+8acqyu9F0PV36Tc8XAf\n7+X1z79K1/7L2EJtrBiyhZqdM+5+jfTROnEaydBiRCMZWoxoTIQWH9NDp6+fnacP0drdzOBgB3Js\nAEmNIEyyEPgIQ4KGEUGfjcVSSHFeOQtn1V4RyylNuNAYId3xTOBsB4/f/gTx8IXFTXdVH2ZxUTsA\nqiBy5NM/Zv0+M4HEhUuXWSW23OPCYbo27NQ0xqI9Z2YmqqJy5tUWDvxw32VtnwHyqp3c8PerqLpr\nHqI0+YK746HFiMblUBSFzs5OGhoa8Pl8RKPRjIp9w1BWRlZWFk6nk1mzZlFeXo7BkHoN1nDQz95t\nv+O8+yBB1YdfUPDKEmqGk+jCqJghYFGzyLNWsviGBygqm5vR9S6m63wLJ//8GCUDZykKe7CHwhj9\nMmIs+bnJUPQQt4qETEYGTFl0WRx4C+ex7L4PTHv9DAB333m27/4jA/1dRBOgqGaEYUFDZGr7CTJR\nZCEMhJGEKHqdQE5OPovm34Swu5X27Y30t8fwdJsIejKbqDdnR8kpCJNbKFG4oJSKd99JVtn4WQLp\nMJKt4T3nZfBN2Rr+dg95ugFK7B6K7V6KbF6clswKiAPIioA7aKMnkE13wE63PxuP4MRcnIe91I6t\n5IKgYSu1Yyu2Y3aYr6o7jyZcpMBUCBeKLPOLn/yY6EUWUagqD75tE47Zc4aOibiJHPwn1Ej3mHN1\nJXdjmPd3KQXKqC3UzxvG9bi0l9pZ/+VbqLh1+tPI3mponTiNZGgxopEMLUY0JkKLjytLc087e1sO\n0e4+TSDQCXEfItEpWzc2ZDmlR5VsGM1OnLmzmF88n1Xl9VjNU1MXQBMuNEZIdzyz5dF/5dBLFwo/\nmvVRPrrqVXTS0CTU4Ib7uSn3XTR6LlgfGCV46U4Xi52pTy5pzCy058zMIhFJ0PSH4xz88X48LQOX\nPS5/YQEr/mE1FbdWIkxzppMWIxrJuDhG+vv7OXXqFJ2dnfh8PhKJS+1yUkWv12O32yksLGTWrFkU\nFxenZTHl7mxj/57f0jd4ipAYxIeAX57c5LldkrGiYlaM2PT5zJ61ioUrbsdgmNwK9nAgwN7nHifn\nbAOloX4c4QCm4JDVVAYlES5BlYYEjbBZj8eURY8ph15nOfPvfM+0W06dOnWKYDhIV/churtbicRl\nFNUImJFUCxJT34cYEjUiqMOihs6vYG4D/VmIdBnwdWeNscVMFUFUsOeHyXbFyC0yUrikktnvuO2y\nhb8zYTRbo82Lr/3/Z+++4+S66ruPf+707V3SqkuWdGRLcpF7t7GNKQEMDiWBBMeBOISWJwnkIQkl\nIYEkEB4CBEjokAQSwMYJxeCOe5NcJR2rWL1sb7PT733+uDOr2Tqr3dki+ft+veZ1tbeeGZ2Zub/5\nndJD34E+EgfaCB/ZQ3XffhrcY7RW9dBQMfUeT54HXYkqjvb7yQw/qVFHIuP/XwSjIapbq6lZXEvN\n4hpqWmuoWVJLdWuN//fiWiLVM3fvp8TFJJQjcfHAf/0HO/qGV6T1tZVc/ta3A+Cmukhu/RDe4PAW\nFKHW64ms/yCOM/EHsud57Pr5i9z/iXuIt43OvgWjQc57zwWc9x4NCzVTdBMnpaiOSCmqIzIR1Y+5\nl8vl2HpwJ1v3PseRjj0kEkdxsn0EyJY1oeERxA1UEoo2Ule7lJULTuP8lZtY0TT+ZIVjUeJCCk4k\nnslls3z34k/R13Y8cXHJ8p1cvdoC4FVW8+63foNvvzT8B6jPXVzPzesnPx60zD/6npkfEt0Jnvve\n0zz9na0kOsb/Mar1vCVc+IGLWH7FyllrDas6IqVMVEfi8Tg7d+7kwIEDdHd3k0pNbTz/gkgkQm1t\nLQsWLGD58uUnPF/GjuceZscLv6Q3dZDBQJJ+z6F/ivNlFIQdl/qgS6UboIIammrXcOY5r2XxCjOt\n8wK8+PxTHL3vhyzpOcjCZC+1iQTRgSzB5LRPDYDnQLbaIVkRpjdWwbGKeo7WLqH1qhtZt/Hcslyj\n1GfIdruFZ5+7m76BHjK5AK4Xw/Eq8r00TnzIp1JyZMimB/EOp3EO5XAOg3coTG5gatdygi51LQlq\n88mM1s1rWH7jdWVNZhRzcy6D7XEGXjyEu+15gvtepLJzL7XJQ1Q5U++ZAdCXjHEsXkvbQC1t8RqO\nDdTSlajC80a/xyK10aGkRnUhwZFPatQsrqF6UQ3ByNTeW0pcTMJ0Exdd+17ix7+8c9gQUVE3xzve\n9W4CwSBeupfE1g/jxfcNOy648GqiZ/wZjjPxf27fgV7u/djd7L1nz5jbV12zmis+rmGhZppu4qQU\n1REpRXVEJqL6MX8l0yke3vM8Lxx8gfbuvWSSHTi5eFkTGlA0MXiomkismab6paxesJrXnnnZmPsr\ncSEFJxLPPP23X+b+rx3/sdRxXN534T3UxvxfRr57w8e5uWfdsGNuXFXB169smNOhBGT69D0ztzp2\ntPPMd7ay47ZtZBPjt0xffvkKzn/fRSy5cOmsv+dUR6SUE6kjhQm/9+3bx7Fjx+jv7yeXGz1p74ko\n9MxoaWkZSmaEQpP/EXqv3cKzz/ycnsQ+EoFB+nDom2bPDICaYI4aPCrcCFWhZloXbOKs819LTf30\nh2x67I4fwQv3szTeRnOin+pEknC/S2DqHVyG8YBclUOqMkR/LEZntJpjlU0klm/kgle/44Tm0Zjq\nZ0gqmeSxLXewb+9zDCYTZL0wnldBwKsgRAyH8g2P53keXq9H7lCa3KE07uEcHHEgN8WhxoqSGY2L\noyw6Z2aTGUPX7enE2bMD94XnYfeLRI7uIZLoLn3gBLJugPZ4DW0DNbQVJTUGM6UnAK9sqRpKaFQv\nrvV7buSTG9WLa6heOHY9UuJiEqabuPj+v32FAafog9LzeO0lF7J441l4mX6SW/8v7sDuYccEWy4j\nuuEjOIHxPyDdrMvWbzzFo//voTFvbGqX1XHlX7+C1ddoWKjZoJs4KUV1REpRHZGJqH6cfJLpFE/u\ntzx/cDttXXtJDrZBto8A6bImND5503fGXK/EhRScSDzzg2s+yrFdxydGPaPlEG/csBWA7UvO4qLT\n/5x40bwWp9UGufd1C6iNzMyY+jJ79D0z+9ysy+5f7eLZ72zl4KMHxt0vEAqw7vXr2fzu82g548R6\n35WT6oiUMt06Mjg4yJ49ezh48CCdnZ0kEgmm+5tiOBymurqapqYmWltbWb58OZWVlaUPzDu0dwfP\nPPU/dA7sIhEYpB+P3mnMmVEQwKM26FKFR8yNUh1qoXXRmZx1wWuprplew+PEwACP/c83qTm0ncWD\nHTQlB6hMpInEyzN/RoEbgmxlgGRFiP5ojI5oLceqWvDWX8Tmy187KqkxE58hnV1tPPLY7bS3HyCV\nyZEjAl4FAS9GkFhZJgj3ch7usRzuofzjcA6va+qzqjtBl9rmBDVNaepaQjSvW8TSV19K87lnTrus\nE+rvIbhvF4F9Ownse5Hgvl04xw7iTPM9NpCK5ntn1NAer6U9Xk3HYA3ZE+jB9MF9fzbmeiUuJmE6\niYutP7+dJw+1DVu3PBrk+t+9GS87SPLpj+D22WHbg00XEt30VziB8Yd0Ovr0Ee7+yK/o2NY+alsg\nHODcWy7ggvdfqGGhZpFu4qQU1REpRXVEJqL6cerI5XJsP3qArfue42DHHgbiR3HT3QS8JIEpTAqu\nxIWUMtl45sDtv+LWDz7jjxeR985zHmJpXTeDgQgXX/cVXkgdH7s7GoS7fmMBmxoVc5wK9D0zexJd\ngzz//ed49t+fZuBw/7j7RaojbPytMzn75s3ULK6dxRKOTXVESpmJOtLW1saePXs4evQovb29pNPT\n/+U9EAgQi8Wor6+npaWFpUuXsmjRokkPNdXVcYStj95Ge/cO4l4PiUCOnlyA1BjD6Jxw2fCoDeao\nAircKFXhFloXnsnGc15JXeP0WuknBgbYct9PCNvHaI2305zye2hE4rmyDTlV4IYhUxUgEQvTF62k\nPVbHkcoWcqvP5ZrXv628FxtHe8chHnvyDjra95HKZMl6ETwvVpaeGt6gi3sk5z+O+ktvmjMNVNSl\nqG1OUtvk0bC8ltYLN7DkdVcTrph8ou2EJQYJHNhNcN/OfEJjJ4FDe3Fy0+uy43nQk6ykPV4zlMho\nj9fQOVg9ZkJDiYtpmGriItnXy7//4Ad4RfNThNwcv3PTTQRDAZLPfBS355lhxwQaNhM78xM4wbEn\nNkn1p3jkMw/yzHe3MlZc23reEq759HU0rWueSpFlGnQTJ6WojkgpqiMyEdWPl4fDvZ08tvtZXmrb\nTXfvAbKpTgLuIA65cduLKXEhpUw2nvnfN/4le7Y0DP29qLqHm899EMeBPzj3T/lmzeZh+3/+knpu\nMprX4lSh75mZ5XkeBx85wPPff5bdd+wklx5/SJzq1hrOvukcNv72WURrSw/BMVtUR6SU2agjruty\n9OjRoSGm+vr6pj1fRkE4HKaqqmqod8ayZcuonuRQSJlMBvvM/eza9Wv60odJOAkGoCy9MwAcPGoK\nPTS8EBVOLQ01q1i3/gpWrz9v2ud/6r6fknj6XpYMHKUl2UdNMkE0niM4WI7SD5eLQaYySCIaoTda\nQWe0lvaqZpx154/ZU2MmJBL9PPz4Lzh0yJJMJsh6Idx8UiNIbEpzasxEMiMYzlG7IEFtU4a6hVGa\n17Wy5LqLaTxn47TOO6FMmsCR/QQO7CFwYPfxZW/XtE/tetCTqKR9sIaOeE0+sVHDb237mzH3V+Ji\nEqaauPjfb36No8X3Ip7H1RvXc9pFl5B6/m/JdTw6bP9A/SZiZ30SJxhjJM/z2PWLnf7k28cGRm2P\n1ka57C+uZMNbN+EEFKPOBd3ESSmqI1KK6ohMRPXj5S2VzrDl4ItsP2Q52rWf+OAx3EwvATfB3930\nrTGPUeJCCiYTz/Tv3s/3XvOfZJLHA/XXr9/KpkWH+I+Fl/LO0/9o2P6/ubqCr12heS1OJfqemRmD\nHXG2/egFXvjBc/S8NPH44ksuXMpZ7zyH065fSyA0/4ZfUx2RUuaqjriuy7Fjx4aSGb29vWVLZjiO\nQyQSobq6moaGBhYtWsTSpUupqamZ1PHFvTMGvV4STpZ+zyE+zYnAi8UCLjWOSwUBYm4F1ZGFLFly\nNmecc820h52yzz7KsftvZ1HfYVpSvdSmElQkM4TiLoFMmZ5AkcLwU+lYiIFolJ5IJe3Renoal7Hq\n6jeycs2G8l90hFQyydbnfs2e3U8RTwyQcR1cL4pDLD8EVXTSQ1CNSmYczuH1Tf938lhNmpqmJNUN\nOeoWVdBy+jKWvvZKatesnPa5x+P0deeTGEUJjcMv4WSmXxEGvnPfmOuVuJiEqSQuDjz9JHc8vmXY\nhNxNjssbf//dpLZ9ltyxe4btH6g1xM7+NE5odPefvkN93Pexu3nprt2jtgGYG07n8r+6iqoWtXaa\nS7qJk1JUR6QU1RGZiOqHnCglLqRgMvHMvb//1zx71/F4oiqc4n0X381LVS2cd8HfE3eO9whfUxvi\n3te3UBOefz+sytTpe6Z83JzLgQf38fwPnmPPr3bhZscfCz0UC2FuOJ2zbtpMy+kzO1nrdKmOSCnz\nqY64rkt7ezv79u2jvb2dnp4ekskkrjv1uQmKFRIaVVVVNDY2smDBApYtW0Zt7eSGdTu0dwcvPHMH\nnX27SXh9JAJZ+t3yJjSKe2lEvSAxqqiOLmTx4jPZuPk6Kqoml3wZS2HYqcCLT7JosJ2mVD81ySSx\nZIZQ3MOZ3jzrY/IAt8IhUxEgEQ3TF62gK1JDe2UL3uqz2HzNm2alt0ZnVxtPbLmDtmN7SaaSZL3g\nsMRGiIl7ynkJF/eYi9uWT2a05fDaXSjDaxasyxJdkKSmIc2iBRW0nrWWpa++nKplS6Z/8rHksjjH\nDhE8sJvA/t0EDu0lcOglnPYjJzR3hhIX03CiiQs3l+N7X/8a6aKJtR3P4203vJ5w94/JHvrfYfs7\nVSuo2PxZnPDwDww36/L0t7bwSY408wAAIABJREFU6OceIjM4OntVt6Keq//uWlZcvvJEiiczZD59\nQcv8pDoipaiOyERUP+REKXEhBaXimVwqzXcu+Qf6OyqG1l224kUuXr2by8/5BE/Vrh5aH8vPa7FR\n81qccvQ9M33t29vZcesL2J9sJ94Wn3DfuuV1bHr7WWx42yZi9RUT7jtfqI5IKSdDHRkcHGT//v0c\nOXKEzs5OBgYGyJShxXixcDhMZWUldXV1NDY2smjRIlpbWwmFSg8/tH/3c2x77k66+/YwSB+JQI64\n6zBQxoQG+HNpVAddqhyPqOsnNWqii2hdvIn1m66kpr5pyufu7+3kyV/8gOqD21iU6KQxNUB1MkUk\nkfWTGjP0M7EXhGylQybqD0PVF47RHamho6KR1OI1nH3NjTS0LJqZixc5eOQltmy9k67Ow6QyabJe\nGC+f2Ah6MYKMvofych5ep+tPAn4s5yc2juVgsEwvVp2H05wl2JQh0pwm1uKxYN0Szn/1jTQ2LSzP\nNYqlkv5wU/lEhr/cS6D9yJi7K3ExDSeauHjoh99nW8/w4Zw2NdWx+ewEmb3fH7beibUSO/ezBKLD\nPxDanj/GXR/+Je0vDJ/YGyAQCnDuLedzwQcu0uTb88jJ8AUtc0t1REpRHZGJqH7IiVLiQgpKxTPP\nfOor3Pevx39kDTgu77vobv5+/Rv4hxVvGLav5rU4del7ZmribXHs7dvZfusLdGxrn3DfQDjAmlet\nZcPbzmTZJctPumGeVUeklJO1jriuS1tbGwcOHKCtrY3e3l4SiUTZemcUBAKBoWGnChODt7a20tDQ\nUHJi8LZDe3jhmbto77IM5rpJBVLEgf5ckGyZZ6Fw8KgKuFQ6HlEcIl6UCqeW2uqlLF9xDms3XkIk\nMnqY+1J27txJb287fc8/QMOxPSxMdlOXHqQqlSKays5YT40Cz8n32IgFSEbCxCP+UFQdsXr66ltZ\nfOErMWdeNHMFyNuzZxvPb3+A7q4j+cRGocdGlIAXzQ9FFcDzPLwBD6+QzGh3cdtzeB3l6Z0BQBSc\nZgeaPWjKEmjJEGhOEWp0qaisoK5+IevWns/6teeU53qpBIHD+44nMvKJjcF/+q8xd5+NeObEZzM5\nifUdO8K27v5hQ0TF3CznbHbI7BmRtIg0EjvnU8OSFtlklse/8AhPfvVxvNzo+KL13MVc8/ev1OTb\nIiIiIiJSFi/edwg4Pgb26S1HeGrhav5x+euG7fe6FTHeuW700LYiLzfJngS77tjFzp9ZDjy4D8+d\nuK1jw2mNbHzbJtbfuIHKJr2HROabQCDAokWLWLRoeGv8dDrN4cOHh3pn9PX1TSuh4bouyWSSZDJJ\nR0cHu3btGtoWDAaJxWJUVVVRV1dHU1MTCxYsoKWlhUAgwIIlq1mw5A9GnTOdTvLCU/dwYP8T9KUO\nk2SQhOMy4DkMTrGXhoffw+N4k+ws0AW9XTz87LMEn/021UGXSjwiXpCIF6My3EBj3SrWrL+U5adt\nGvfcdXUtnHfTn49anwJ6BgbYcvetOHueoWWwncb0gD+nRipNOOESSExvonDHg+CgR3AwR4wc9SRZ\nQi9wBNgOD96DG4VsLEA6GiIeidAXqaQ7UkVXRSOZRavZcOUbWNC6dBqlgNWrz2D16jPG3d7X183T\nz9/PoQOWeKSPTB146yLgRQh5MRy3gkB3ELfNxWsvSmh0uv54WiciBd4hDw4BhMgRIkcFmQAk6wP0\nNA5yoPEB7m58AK8hB01ZvLo0gWCaIFmCQY9oOEZ9/UJWn7aZtSs3EY1NkNSKVuCuWo+7av0JFnTm\nvKx6XPz4a1+li6IPBs/jhrMdKgd+PHzHUA0Vmz9DoHrl0KojTx3mzg/dQffu0bO0R2ujXPqRK9j4\ntjNPulYZLxcna8sCmT2qI1KK6ohMRPVDTpR6XEjBRPFM++Nb+f7b7sTLHW/p+brzt/L6a/6cg7Hj\nDawWVwZ48A0LaIyVd6gKmT/0PTOxZG+SPb/axYs/9ZMVE81bARCuCrP2NYYz3ryBxRcsPSUmslcd\nkVJeLnUkm81y6NChoYRGb28vyWSSXG5mugsUempUVVVRU1MzNKfGwoULiUQi4x7Xfngf25692++l\nke0k5aRIOi4D7tSTGpMRcVyqAy4xIOqFiHgVVIQbCAUaaGxey0VX/gbh8ImPILN31wvsvu8nNHQd\nYEGym/r0INWpFJFkltCgSyBb/ucykucwlNzIREIkImH6wzH6wlV0xeqINyxm8XlXz3jPjR07t7Ld\nPkxv9zFSmSw5L0guE4HOCE5bGNqD0O7htrt4PVNIaEwkCE59gEBjACf/CDQEcRoDeHUunpPBddJ4\npHCcDAEyhAIQjUSoqm5gyeL1nLXxYioqSs+xoh4XZWQfuJcuL0Bx+u/MuiNUDjw2fMdgBbGz/3Yo\naZEZTPPwZx7k6W9tGbMirXud4YqPvYKqBeqSLSIiIiIi5fP0F27Dyx2fSLSxYoBPnf+mYUkLB/jK\n5Y1KWsjLzmBHnJfu2cPuO3ay79d7cTMTJyucgMPyy1ew/k0bOO36NYQrNLSzyKkoFAqxYsUKVqxY\nMWx9Npvl6NGjHDt2bCihMTg4SCaTYTqNuot7anR2drJ3796hbY7jEAqFiMViVFZWUltbS0NDAy0t\nLTQ3t3Llq24e85xHDuzCPn8PHV27Gcx2kgwkSeIRn0ZPjYK0F6ArVzz0VQLSCeAwHHyBu//jNqqC\nLhWOR8RziLhhIk4VlZEmmhpXsXrdRSxZObpF/so1G1i5ZsPo6wG9AwNseeBn5HZtpWmgjcZ0P7Xp\nBFXpNJFUllDSJZCa1tMC8r02khBMukRJU02aFuJAZ36P5+D+X+JGIBdzyESCJCNhBsIx+sIVdEVr\n6atuJrLyDDZdej01dVObS2T92nNKDt+03W7hxV2P0XPsKKm2DJmOMG57FK8jhNcR8Is8leldcuB1\nuuQ6x/hODIJTF8BpCBGoj+DUB6AhgFsfIFkfIDXo0NW2j2ef3otLhhxpPCfN+941uhfObHlZJC6y\nqSQPbbNQNCH3wmgbGxc8CV7Rf2QgTOzMTxCsNQDsf3Afd//fX9F3oHfUOasWVPGKT13H6uvWzHj5\nRURERETk5SWXSrN/2/AfVo9c1siPFgxvJfj+jdVcuTg6m0UTmTPde7rY86td7L5zN0eeOjSpVqpN\n65s5/U0bMDecTvXC6pkvpIjMS6FQiKVLl7J06eihhOLxOEeOHOHYsWN0dXUxMDBAIpGYdi8Nz/PI\nZDJkMhn6+/s5duzYsO3jJTYaGxu56OrfJTbGsD5dHUd48bn7Oda2g4FUGynipJ0sCSDuBkh5E8/H\nUUoOh75ckL6hNS54/ZDsh8N74fC9RByXyqFeGwHCXoRooJrq2EJaWtayau25LFiyeugMFdXVXPrq\ntwJvHXW9dP6xfcvDHH3ybmp7D9Oc7KE+HacqnSKWzhJO5oeiKlPPhEAaAmmPMFkqydJIAugGDvs7\nPPYg3n//G27MIRd1yISDJMNhBsMRBsIxesJV9FY0kFm4itMufCXLV514L6bTzWZON5vH3Z5Lpdn2\n01/w4pYt9LVnSXWGyXREcNtDEJ/i/3EOvC4Xr8tlzFR/hUOgPoBTH8BpCODUhQk2zO095ssicXHf\nf3+fXFHSoj7Sy1VLHgOvKHXlBIhu+AuCDWeR6kvx4Kfu5/nvPzvm+Ta8dROX/+WVROtOfLIbERER\nERGRUp77zDcY6KwY+runsYJ/u/BVw/Y5qynMX22uHXmoyCkjl85xZMth9t67hz137h5z6OaxNJzW\nyLrXGda+1mgOShEpqaqqijVr1rBmzfDGya7r0tnZOZTQ6OnpIR6Pk0wmyWanP/ZRqcQG+PNrhMPh\noTk2ampqaGjZyHJzBc3NzaOGozqw5wV224fo7N7DYKaLtJMkFciR8GCgTJOFp70A6WG9NrKQ64F4\nD8Qt7P0pEcelIuARczzCnkM4P99GNFRLdeUCmptPY/W6C2ha6CeSTt98CadvvmTUtbL5R9uRg2y7\n91aiR/fQnOiiIT1ATSZJLJ0hnM6VrddGgeNBMOERTHhEcKkiQxODI/Z6En7xw6EeHNlwkFQ4RCIc\nZiBcQV+4kp5oDYO1LVSu3MiZF7+SiurJJdCD0QibbnwDm258w6htfbv2cvTeR+ncsZ+eI7109zoM\n9EVIdUZw49P4qT/h4SZycGREwu7TUz/ldJ3yiYvOl3bxUiIzNCF3VSjOK1ofIOikh+0XMR8k1HIx\ne+7ezb1/cScDRwdGnat2aS3X/MP1LL9sxahtIiIiIiIi5bLz18cn5c4FHP73rRcSDx1vOFURdPja\nFQ1Egif/2PwixXr397Dv/r3s+/VeDjy0j0x8cmNl1K9qYN1vGNb+hqHJNJ8S81aIyNwKBAK0tLTQ\n0tIy5vb+/n6OHj1Ke3s7PT099Pf3k0wmpz38VLFcLkculyOZTNLT0zPmPqFQaCi5UVFRQXW1YdXC\n86ivr6ehoYG6ujoCgQDpdJI9255g794n6O0/SNLtJeOkSTsuCWDQDZCeZo+NAj+5AcPHsElCJgm9\nbdD7POy+Pd97wyOKRwSHkBskQgWxUB3VVQtpaVnDyjWbWdC6lAW//YFR1/E43mtj764X2PvwL4h1\nHKAh2Ut9eoDqTJLKTJpIOkso6RFIlq/nRkFxD44KstSTBPqH7/TgPXj/8QXcKOQiAbKRAOlQkFQ4\nTDwUJR6K0Rupoj9aR655KYvPuox1G88d83q1a1ZSu2blmNt6t+/k6P1P0GUP0Ht0gHiPy2BfiIHu\nKOn4+HOuzFenfOLirjvvAsfvbRENpLi69UFioeEpuPDqm8jGLufuD/wMe/v20Sdx4Kx3nsMlH76c\nSNXJ958sIiIiIiInlyO7jvekuO+qjexa2Dps+6cvrGNdvcbol5NfsifBwUcPcvCR/ez79V569nRP\n+tiWMxaw+pWncdor19J8RouSFSIyq2pqaqipqRlzwvNkMklHRwcdHR10d3fT399PPB4nlUqRzWbL\nltgAf/6ObDZLIpGgu3vsz1DHcQgGg0QiEaLR5dQ0rWdRoQdHQwO9vb1+0iPq8dLOx+ns2sNgqoOU\nFycdyJB2PBKeQzwXIFeGXhsFhQTHcAnIJKDnKPQ8Azt/TDjfgyPqeIQ9CHsBQl6IsBMjEqymKtZC\nY+NyVlx0LUtXbRg1wXgm/+huP8pzD/wU54ClPtFNY7qfmkyCynSKaDpLKO0STHkEpjK/RAnFc3BE\ncKkkC6SAkY3nn4Bf3YYbAjfqkIs4ZEJB0uEQiVCYeCjGYChGX7iSeKyWbEMrTevOZu2G86k7fS11\np489dFXvi7tpe3AL3S8eoO9IL/HuLIP9ARL9YeLdMdxseZJW5XRKJy523Hc3ffmkRcjJclXrQ9RG\nhleG0NI3sPe5s7jv498i0ZkYdY6G0xq59h+uZ/H5S2alzCIiIiIiIl5+CIYDS5t44LIzhm17zfIY\n71xXORfFEpm2VG+SQ48f5MAjBzj4yH46trdPaq4KgEAowJKLlrH62tNYfd1p1C6tm9nCiohMUSwW\nG3dODZjdxAb4w1IVEhyDg4OTSHCsJVKxger8/BuVlZXU1NRQVVlJX+cB2o9up7d/P4lsF2kSZJws\nKQeSrkPcDeCWMbkBkPECZEYlOFzwBsEdhEwb9L8A+35B4GGPioBL1PGIAiH8oapCXpRIoIqKaAPV\na07DbV5OeOl6KhYsIxQOkwMKl7DPPsqhLQ8S6zpEfaqHuswg1ZkElZkM0UyGUMYlmHIJJCnzMz0u\nkIVA1iMU94ji4qdeElA0A8mQu27HC4AbATfikA0H/GRHKEQyGGYw36ujP1xJanEtwQ2trDp9M2vX\nn0tFdTW5VJqOR56k7clt9O5to789wWCfS6J/blMHp2ziIptO8YjdCYEgAVwuX/QITbERb8q6S7nz\ns63s/uXPRh3vBB3OveV8LvzgJYRip+zLJCIiIiIi81Q6HOS2Gy7CCxxvAbeoIsAXL61Xy3I5KXie\nR//BPg4/dZgjTx3iyFOHad/WNulEBUBlSyUrrljJiitXsfKqVZprUkROCaUSG9lslu7ubjo6Oujp\n6aGvr494PE4ikSCdTpPL5cqe3IDRCY7xBXGc1QQCawiFQlSGI0SjUWKxGLFolFyql8H4UdKpdtK5\nTjIMkCVD2smRBpKew+AMJDgAXBzibpD4qC0pyKVgsAsGd0P7I7AdgnjE8omOMBAGQl6QoBMk1Bwl\nEmikIrKaqqoWmpqXs3jZBupbFhMOh2k7cpAdj9wBh3dRG++mLt1PbTZJZSZJRSZLOJMlmPYIpDwC\n058WZUKOW+jR4REmRwU5/EG0xjEi2bEkFGBhKECmOkS6PkgiGCEZnNvevafsL/IP/Pi/yAaCgMeF\nC56ktbJt2PaUa7j1ljri7btGHdt8egvXfuZ6Fm5aNEulFRERERERGe7uV5xJZ/Pwybe/dFkDTbHg\nHJVIZGKZwTTtL7RzdOthDj91mKNbDhNvG/3T0UQCoQCLz1vC8itXsvLKVTSf3oITUKJORF5eQqHQ\nhPNrAKTTaTo6Oujq6qKvr4+BgYGhycPT6TTZbBbXdWesjJ7nDc3BkUql6O8fMa8DIaA1//B7c8SC\nQaryE46HgiFwE+QyvWSzvbjeADknTjaQJOukSJEjiUNihhIcBblxEx0ueAlwE5DtgMFd4yY7QnUQ\nqg0Q9CIEqSLsRAkHq4hF6qiqaqa2vpVcOkf/gb1Eug9Tk+ilNhOnOpugMpsmlskQyWaP9+RIUfa5\nOMYyMtnh9zkZPk7W6FmgZ88pm7jY1Z8Ex+GsxhdYVXNg2Lb+ngXc+pFWMsnhWadAOMAF77+Y895z\nAcGIggEREREREZkbe1e08OjF64etu2ldJdcuVWtzmR8yiQztL7TR9twx2p47yrFnj9G9uwvPPfFf\nWprPaGHpRctYevFyll2ynEi15pYUESklEomwePFiFi9ePOF+g4ODdHV1DfXc6O/vZ3BwcNYSHAXF\nvTlSqeL5h2P5x8KhNaH8owp/knQHF8dL45DCI4nnpPCcBK6TJudkyDhZ0uRIeDlSnjtz4zfljZ/s\nyE8X7qXB7YfMUYhbyLend/CI1nlEGjzCeISdGCEvRtALEPSCBIkQDkQJEsPJ5ajIJKlOpalNpmlI\npKjLpKnMpohks4SzOYJZz+/RkfZwRg2ldfI7ZRMXOA5ravewocEOW93fUcXtf7OeTHL4U1941iKu\n++yraFrXPJulFBERERERGeUnN1w07O/l1UE+eYHG85fZ57kefQd76djRQeeOdjp2tNOxo4Oel7qn\nlKQAaDLNLL3YT1QsuXApFQ0VZS61iIgUFOaoGG9YKoCdO3eSTCapr6+nt7eX3t5eBgcHSSQSQwmO\nTCYzY0NUTeR4UiWSf9QMG3IwmH/EgKF+qp6LP2hUBpwMkMULZPCcDDmy5JwsGbKkPJcsOVwni4v/\n8MjNWOLDwyHpOSTHTDJ4DA1nVZjHojB2VbUDxAgSJRKoJuz4iY+QA0EPgjiEPIeIBzHPo8L1qMzk\nqM7mqE5nqE5lqU5mqUpmqRh0iZwkyY5TNnGxpPIw5zVvHbYu0Rvh5/94Fsn+4603AuEAF37wEs57\nzwUEQvNv9nQREREREXn56W6oHvb3v1zWQE1Y8YrMnFwmR+++Hrr3dNO9u5Pu3d107eqk88UOMvFM\n6ROMIxQLsfDsRbSeu4TWzYtp3dxKRaMmlxcRmW9isRjLli1j2bJlJfdNJpPDenAMDAwM9eJIpVLD\nenLMdqIDACcABPAIAfnkeL4jRqE3RxSoHu/4oWGTsnhODs/JkiOHS44MOXLk8PJ/e46/LCQ9XKew\nLYtHeXt/5HBIuA6JUjsGgGjIf5JVozeHHI+I4xFyCj0/IIJH2POIeh5R1yXmuURzLteUr/gn7JRN\nXFy68HGKh8HMpAL88p/Por/9+A1S0/pmrv/ca2jZsGAOSigiIiIiIlLaLadXcXlrdK6LIaeAbDJL\n38Feevf30re/h979vfTs66F7Txd9+3txs9MfKqR+VQMLNi30kxTnLqb59BaCYQ3FLCJyKonFYixa\ntIhFi0rPD+y6Lv39/cPm4Sj05kilUqRSKTKZzFCPjjlLdgxT6McRwfH8+SYKzUdO5I7MwwNyeLj5\n5IY7lOjwcIsSHe7xRMgk95nOJBhZzyHrlcio5LM8L6vEhTGmEfg4cAP+7CwdwM+Bj1prj5TrOqHA\n8b4urgv3fGUTHS/5XaudgMN577mACz54MaHoKZu7ERERERGRMputeKbgtNogHz+vtvSO8rLneR6p\n3iT9h/rpP9JP/+E+Bo7003/Yf/Qd6GXgaP+w4TWmq5CkWLBx4dAyWqskm4iIHBcIBKirq6Ou7sSG\nvEwmk0M9OuLxOPF4fGjoqkLCI5vNDk0QPj8SHsM5+V//HY4nPkZ9D0+xyH4iw80nMvLJkaEER9HD\ncUevIzfOen//40mTmZ/7ZCKz+qu9MaYCuA9YD3wJeBJYC/wZ8ApjzLnW2u5yX/fh763nwDMtANSv\nbuD6z72GRee0lvsyIiIiIiJyCpvteCaAx1cub6BSQ9q+bHmuR7I3Sf++PtLdKbwdOQY7Bhlsj/vL\njjiDnYP5dYPkUtkZKUe0Lkbz+maaTDPN61toMv6/ozVKUoiIyMyIxWLEYjEWLDixkXKy2SyJRGJo\nEvLiuToKCY/CnB2FycILc3fMt8THRBwCOAQIFP+8P1bxT56nNMpsdzf4Y2AT8F5r7ZcLK40xzwC3\nAR8F/qScF3z6ZyvZcZ8/+czZN2/mkg9fTrgiXM5LiIiIiIjIy8OsxjPv31jDBQv0w/DJzs26pAdS\npPqOP9L9+X/nl+nif/enSHYnGeyIk+hKlGX4psmqWlhNw+oGGk5rpHFNEw2rG2hc10z1omocZ4Zm\nKhURESmjUChETU0NNTU1UzredV0SicRQwqOQ9Bgr8VFIfhR6fRQSIMcnFJfpcGYzk2SM2Q4sA5qs\ntami9Q6wH3+YsIXW2kkXqre39yTOG4mIiIjIy1FdXZ1+ATwJKZ4REREREZmdeGbW+hwbY2rxu1Rv\nKb7JB8jf2D8OtACrZqtMIiIiIiIik6F4RkRERERk9szmYKkr8suD42zfn1+unoWyiIiIiIiInAjF\nMyIiIiIis2Q2ExeFgcUGx9keH7GfiIiIiIjIfKF4RkRERERklsxm4kJERERERERERERERGRCs5m4\n6Msvq8bZXj1iPxERERERkflC8YyIiIiIyCwJzeK1XgI8YOk42wtjxu48kZPOxgzmIiIiIiLysqd4\nRkRERERkljie583axYwxTwNrgSZrbbJofRA4DKSstctnrUAiIiIiIiKTpHhGRERERGR2zPYcF98A\nKoFbRqx/B7AA+Posl0dERERERGSyFM+IiIiIiMyC2e5xEQYeAM4Fvgg8CWwA/gS/S/VF1trBWSuQ\niIiIiIjIJCmeERERERGZHbOauAAwxtQCnwBuBFqBNuA24OPW2q5ZLYyIiIiIiMgJUDwjIiIiIjLz\nZj1xISIiIiIiIiIiIiIiMp7ZnuNCRERERERERERERERkXEpciIiIiIiIiIiIiIjIvKHEhYiIiIiI\niIiIiIiIzBtKXIiIiIiIiIiIiIiIyLyhxIWIiIiIiIiIiIiIiMwbSlyIiIiIiIiIiIiIiMi8ocSF\niIiIiIiIiIiIiIjMG6G5LkApxphG4OPADUAr0AH8HPiotfbIJI6/BPgocBFQAbwIfA34krXWm6ly\ny+yYbv3In2MN8J/A+cDvWWu/PTOllblQhs+Qy/LHXwDEgAPAj4FPWmsHZqrcMnumU0eMMQ7wduAP\ngDOAavw6cjt+HemdwaLLLCjH90zRuWLAM8A64Gpr7X3lLa3MhWl+hpS6F22w1vaUpaAyZxTPyEQU\nz0gpimekFMUzMhHFM1LKfI5n5nWPC2NMBXAf8B78L9abgH8F3go8ZIxpKHH8K4B7gbXAJ4B349/o\nfwH4fzNUbJkl060f+XP8HrAVOH3GCipzpgyfIW8HHgCW4X+Ivwd4Fvgw8CtjzLz+DJXSyvA58jng\ne0AK+EvgfcDzwJ8C9xljwjNScJkV5fieGeGj+Df5coooUx3ZBrx5nEe87IWWWaV4RiaieEZKUTwj\npSiekYkonpFS5ns8M997XPwxsAl4r7X2y4WVxphngNvw3zB/MsHxXwaSwOVFGaLvGWN+AnzAGPMt\na+0zM1N0mQXTqh/GmD/AfzN+Ef+L+V9ntLQyF6ZcR4wxUeAr+K1NLixqafJNY8xt+JnoV+FnoeXk\nNZ06ck7++J9ba19btOnr+e+ZNwC/kT+PnJymex8yxBizCfgQ/o9L55S/qDJHylFH2q21P5q5Isoc\nUzwjE1E8I6UonpFSFM/IRBTPSCnzOp6Z79n138XPzHxjxPrbgYPAO/Ld2kYxxlwIGOC/x+jW8iXA\nAd5R3uLKLJty/SjyRmvtB4D0DJRP5t506sgi4Fbg02N0jy3c3J9ZroLKnJlOHUkBf4HfAnakO/PL\n5WUoo8ydcnzPkG/N+DVgH/pR6VRTljoipzTFMzIRxTNSiuIZKUXxjExE8YyUMq/jmXmbuDDG1ALr\ngS3W2lTxtvxYro8DLcCqcU5xQX75yBjbHssvLyxDUWUOlKF+YK39N2vtT2a0oDJnpltHrLX7rLU3\nWWu/Msbmuvyyr4xFlllWhjqyzVr7aWvtE2NsXp9fPlvGIsssKsf3TJH34d9z/CF+gCingDLXEYwx\njjGmquwFlTmjeEYmonhGSlE8I6UonpGJKJ6RUk6GeGbeJi6AFfnlwXG2788vV4+zfeV4x1tr+4Ge\nCY6V+W+69UNOfTNSR4wxEeBmYBBQoHhyK1sdMcZEjDENxpgzjDGfBt4LfMdae28Zyilzoyz1wxiz\nDPg74HvW2rvLVDaZH8r1GdJsjPku0A8MGGP6jDHfNcYsKUchZU4pnpGJKJ6RUhTPSCmKZ2Qiimek\nlHkfz8znxEVNfjk4zvbWAV4lAAAgAElEQVT4iP2mcvx4x8r8N936Iae+steRou6RpwMftdYennrx\nZB4oZx35baALeAF4F/AH1tqbplU6mWvlqh9fwR++40/LUSiZV8pVR87IL9+BP4HdbcDvAI8YY5qn\nVUKZa4pnZCKKZ6QUxTNSiuIZmYjiGSll3scz831ybhGRecEYUwH8J/4kdv9irf3cHBdJ5pc7gFfg\nd6N8NfBvxphXAu+01ibmtGQyZ4wxbwNeC9xsrW2f6/LIvPRq/Mnsnipa9yNjzAHgL/EDxI/MSclE\nROSUonhGSlA8I6MonpFJmNF4Zj4nLgpjLY43Nlb1iP2mcrzGczx5Tbd+yKmvbHXEGNMC/A9wEfBJ\na+3Hpl88mQfKVkestUeBo/k//9sY8zTweeA54JPTKaTMmWnVD2NMI/DPwP3W2m+VuWwyP0z7M8Ra\ne8c4m76Mf6N/LUpcnMwUz8hEFM9IKYpnpBTFMzIRxTNSyryPZ+Zz4uIlwAOWjrO9MA7XznG278kv\nRx1vjKnDn4xqy3QKKHNquvVDTn1lqSPGmIXAA/iTEf2etfbb5SqgzLmZ/Bz5Ov6N/qvQjf7Jarr1\n4zNAPfAJY0zxORryy5b8+vaRE6HJSWMmP0Pa8+euncKxMn8onpGJKJ6RUhTPSCmKZ2QiimeklHkf\nz8zbOS6stXHgWWCzMSZWvM0YEwQuAQ5Ya/ePdTzwcH556RjbLs8vHyxHWWX2laF+yCmuHHXEGFOL\n32V2OfB63eSfWqZbR4wxf2mM6TDGXDPG5vr8cj43EJAJlOEz5BogAtwLHCh6FIZl+O/83xeXv/Qy\nG8rwGbLJGHOLMWb5GJvXAg7HJ8STk5DiGZmI4hkpRfGMlKJ4RiaieEZKORnimXmbuMj7BlAJ3DJi\n/TuABfgZYACMMeuNMasKf1trn8ZvgfTm4sygMcYB/g+QAb4zc0WXWTDl+iEvG9OtI/8MnA38lrX2\nFzNZUJkz06kjzwNNwB+Pcd7fzS8fKl9RZQ5Mp37cDLxujMfn89v/Iv/3czNScpkt06kjG4GvAmMN\n11HoTn1r+Yoqc0TxjExE8YyUonhGSlE8IxNRPCOlzOt4Zr5nTr8KvB34rDFmBfAksAH4E/w3xmeL\n9t0OWGB90bo/ws8M/toY83mgB3gb/oRDH7XW7p7xZyAzaVr1wxjzao6P43ZeYWmMGcj/u91ae//M\nFV9mwZTriDHmTOCdwDYgaIz5zTHOrzpy8pvO58j/AD8FfsMYcz/wQyAOXIl/o39kxPFy8ply/bDW\n3jPWCY0xzfl/PmKtvW9mii2zaDqfIT/EDwh/P18vfg4EgTfhjwV7F/C1WXgOMrMUz8hEFM9IKYpn\npBTFMzIRxTNSyryOZ+Z1jwtrbQZ4JfBF4Ebg2/hfvF8HrrLWDpY4/jHgCmAH8DfAvwKLgJuttX87\ncyWX2TDd+gF8Bf9N9kPgvfl17y1a99flL7XMpmnWkc343drO4HidGPlQHTnJTaeOWGs94Abgg/g/\nGvwD/vfMlfhf/udZaw/PZPllZpXhe0ZOcdP8DMnit1L7ELAO+ALwT0BLft1r8vvISUzxjExE8YyU\nonhGSlE8IxNRPCOlzPd4xvE8bzrHi4iIiIiIiIiIiIiIlM287nEhIiIiIiIiIiIiIiIvL0pciIiI\niIiIiIiIiIjIvKHEhYiIiIiIiIiIiIiIzBtKXIiIiIiIiIiIiIiIyLyhxIWIiIiIiIiIiIiIiMwb\nSlyIiIiIiIiIiIiIiMi8ocSFiIiIiIiIiIiIiIjMG0pciIiIiIiIiIiIiIjIvKHEhYiIiIiIiIiI\niIiIzBtKXIiIiIiIiIiIiIiIyLyhxIWIiIiIiIiIiIiIiMwbSlyIiIiIiIiIiIiIiMi8ocSFiIiI\niIiIiIiIiIjMG0pciIiIiIiIiIiIiIjIvKHEhYiIiIiIiIiIiIiIzBtKXIiIiIiIiIiIiIiIyLyh\nxIWIiIiIiIiIiIiIiMwbSlyIiIiIiIiIiIiIiMi8ocSFiIiIiIiIiIiIiIjMG0pciIiIiIiIiIiI\niIjIvBGa6wKIyPxhjPEm2DwIHATuAT5vrbWzU6q5Y4xZCbwEYK115rY0U2eMCeP/3y0A4kCrtba/\nxDHvAj4MrAJSwFXW2idnuqwnyhjzFuBdwGagDugBHge+Zq39yTjHLAb+L/AaYCmQAJ4C/sVae9s4\nxwTz1/ldYCMQAfYAPwL+yVrbV8anVRbGmGuBO4Hd1to1ResPAkuAy621D85V+URERESmSnHLcIpb\nToq45WLgj4HLgWb85/cc8D3gG9Zad4JjrwO+A7QCH7XW/m2Ja70FuAU4B6gEDgA/Bf7eWntsnGPW\n4cdI1wCLgD7gEfxY5/7JP9PZY4x5ELgU+B1r7b/n170L+Bpwt7X22rksn4hMn3pciMhY/gv456LH\nF4BfAjHgD4GnjTFvnouCGWOuN8Z4xpirZuFyfRx/DU5mb8C/+QeoAn5rop2NMQb4V2AtcD/wXaA3\nv+21+df/spkrbmnGGMcY8238unoV8Gv8Mj8IvBK4zRjz1TGOOx3YCrwf6Aa+DdwNXALcaoz5+zGO\nCeInKL6K/5rcDvw7UAF8DHjYGNNU1icoIiIiIpOhuMWnuGWexi35svwJ8BDwFvzGT98GHgYuBv4N\nP3YZ9fucMSZijPksfp1uneS1voj/vjgP+BV+wiOJnzR5yhhz2hjHXAFsAX4PPwH2TeAx4NXAvcaY\nPzyBpysiUjbqcSEiY/m8tfbRkSuNMRHgU8CfAt8zxjxmrd0/y2U7f7YuZK3twr/BO9n9QX75ffyb\n/3fh3yCP5zz8xPbzY7RSmbXXv4S3AO/Eb6l0ibX22cIGY8w5+IHALcaYn1prf5pfH8Bv0bQA+Atr\n7aeLjlmfP+bPjTG/stbeU3St9wI3AE8A11lrC8FQBPhv/ADr/+H3xhARERGR2aO4BcUtzOO4xRhz\nPvBZwANuLO7hbYzZjN/w6vXAO/ATL4Vtq4EfA2fj9x7KAdeVuNbrgffhJx8us9Yezq93gC8Bf4Sf\nlLiy6Jgq4D/wE0Vvt9b+Z9G2y4G7gH82xtxnrd0xtVdBRGRq1ONCRCbNWpvG74b7HBAFbp6DYsyL\nG9CThTFmFXAtfpf59wP9wPnGmE0THFaRX47VjXi+vP6/mV/+e3HSAsBauxU/oVC8H8ArgHOBF4qT\nFvljduAHtwAfKqzP3+T/Wf7PPyokLfLHpIH3ABng7fkhqERERERkjiluOfmcwnHLHwIO8P2Rw9Ja\na7fg974AuHHEca8ENgEfx09YtE3iWh8uLAtJi/x1PPwkXgdwhTHmwqJjfgt/+NyfFSct8sc9gD/s\nUgT44CSuLyJSVupxISInxFrrGmN+jX8TdfbI7caYS/Bb+1wKtODfeO4Afgh82VqbGLF/Df5N1A3A\nGvzPpWMcn3Pg7vx+NwHfKjr0Xr9nMH9trf1E0fmuAj6A3+22CX/Ogyfy5/r5iGuvxG+NEs+X9ev4\n8x48Ya195URjxeZbcb0b+G3gDPwWKp3Ao8CXCuUu2r9Q/p8B/yd/rfOAv7PWfiq/z9n4N5uXAQvx\nu/Qewh+P9PPFN58n4F34N8o/sdZ2GmN+iB+4vTv/OhWXcQ2ws2jVNUXjB38U+GTRtgfyr/+wMVaN\nMa/ADzQuBhrxh2N6AviitfaX41yvF3/Oha/jd0d+2Fr7mhLPqy6/PDjO9kKLuoaidW/KL380zjE/\nBj4DXGeMqc3PW3E+sAzYN9ZYudbaI8aYR4Ar8Ovwl0uUu3iOiQ355Ufwx5+NArvxW5X9S/E4t8aY\nfwfezjhj2pbaPhn5/7sPABfij7vbh/86/hj//693gsNFRERE5hXFLUPHKm6Z27jlu/nzPjHO9u35\n5dIR6w8Dr7DW/jpfhgkvYoxZiD/8bQr435HbrbVJY8zP8XuJ34g/FBRMLkZ6b/6Y90xYCIbNMfFD\n/KGn/iZ/jVb8+OI+4K+stS8WHVN4fXPW2lG/U5baPhnGmFr8BmlvAE7Df/8eBZ7Ef8/dO5XzisjM\nUo8LEZmKnvwyVrzSGPNH+F1d3wzsxb9Juxf/xv6zwP3GmOqi/aP4cxN8HP+H6Fvxb5JfBF4H3GmM\nKbSO2oY/ZmthcrYf5/9+tOh8H8LvRvuG/P7fBp4Brgd+Zoz5mwme09/iT5T2X/hzHozLGBPDHy/0\nS/g/Pj+IP3aoxe/me5cx5s8nOMUP8CdJ+zb5G9V8N9xHgbdxfNzTH+N/Tn8IeNQYs3yico1RzhD+\nzSIcD56+mV++Pf/6F+vBf03vyv99gONj5d6dXw7kt/0w/3fhhhdjzEfy+70OeD7/HJ7Dv6m/wxjz\nsQmK+yn8oOEH+P+HpRRudNeMs31ZflncnXlzfrllrAOstS/hByxB4MzJHJP31Ih9J+uNwC/wb5p/\niD+RtsEfm7lkAqScjDFvx/9/fw3wNH4w9jP8BMYn8QPumtksk4iIiEgZKG5R3DKncYu19n5r7Vet\ntU+Ns0uh13bHiOP+p5C0mKRz8BM/26y1qXH2GStuKRXvFI5pMcaMTK5MpAK/7v02ftLmu/iJizcD\nj+eH6p0V+ffBA/hJrWr8+votYBf+e/AuY4yG/RWZh9TjQkSmovBj8d7CCmPMBo5PBneDtfb2om0N\n+DcK5wOf4PjQO2/Eb/30IHC1tTZbdMxF+WM+ZYz5nrX2cfwbnBuAGvzWQfcV7X8J8A/4rX1eVXyT\nl+8K+yvgo8aYO/NdXotF8Lvfnmmt7aG0j+GPC2qBK6y1Q912jTGvAn6eL/cd1tpnRhx7Mf7EcTfm\nu+wW/CV+i/s/tNb+a9H5HPzX9f34LcL+ZBLlK3gtfsuWveSDGmvtQ8YYi/8D+Y3AUHdga20H8Mf5\nVjLXAi9aa4vHyn3EGPOb+Dd7X7DWPlhUzsuBv8NvBfaqEdsuAe4A/jr/+j8yopwx4GrgrBNo1f8v\n+GPgvsUY87kRc1ysxx8iKs3wMXFX55cHJjjvAfxeGmvx6+VkjyF/zIn4OPAWa+2thRXGmGvx6+ot\nxpivTRDglNtf4wc6ry5udZdvofdD/MD2d5jlhIqIiIjINCluUdwy13HLuIwxFfi9psG/556OE45b\njDGV+D1mxj3OWttnjOkDavPHjdfjfaTr8XszrLHWxvPXi+A3jroW+Ef8GGM2/CZ+w7T7gWustbnC\nBmPMpfn1nzbG/Gfxe1tE5p56XIjICTHGLOP4DcbtRZv+ED8Z+pPim38Aa203/g0uwM35FjUAq/LL\nx0feIOQn2bsYvzVRjtL+DP+H18+NbJlirX0Mv+UU+N1cRwoD/zWZm39jTBi4Jf/nh4tv/vPXugP/\ndQngd3ceqRH4pxE3/3D8tXh4xPk8/NfuEuDvS5VvhMLkdt8ecb1v5JdjlW+qPoT/+n+2+OYfwFr7\nMP7k1TD26x8F/uNEbv6ttdvxA5g+4AljzO3GmH8xxtwKbM2vv8Fau7vosNr8sp/xFVpmFXoXTOWY\nybqrOGkBYK29i+Mt5958guebjpX55cj6l8avRxdQFCyKiIiIzHeKWxS3jGNW45YSvojfU3w7x+e6\nmKrpxDonetxkhIE/LiQtYCi2+ET+z1fNYo/uQp19rDhpkS/TQ/jv36sAFxGZV5S4EJFJMcbU5lvl\n/Ay/2+cvrLW/KNrlivzy56MO9t0NePit2QvdQm1+ebMx5k3GmGDxAdbaJ621O4vH+h+nbA5+y5eJ\nrv+z/PLqcbZPdkzLjfg38Tngl+PsU+iyfPEY21LAyJY7cPy1+KIxZljLfWttv7X2kZHBxkTygdqr\n8G++vjVi83fxJ5S+yhhz2mTPOcG1Avg3ejDzr3+xR/CDGQc/KP0j/NZwDn4X+KeLyujgBxrg98QY\nT6FbdWV+WZjw70SOmazxXqtCADVqLOYZVBh665tmxCTj1tpj1tonJtmqT0RERGROKW4Zorhl9LXm\nKm4ZVQ5jzBeB38cf9upNZWjpP5W4pXCMV+L6U4l3OvK9j0Z6DMjiJzY2nMD5pqNQZ99ljLkhXw+O\nb/RjnZLvXxGZfRoqSkTG8sgEk395+D8Kj2yBUmjF8NJYB1lrB4wxnfhj5i/HH0v0J/ituH8bf5zJ\ndmPM3fhj/f/0BG5464D6/L9vMca8ZYx9CuPaLjDHJ14uNtlrFZ7nkQnGDt2bX441tmvH/2fvzsPk\nqur8j39q66reu9PZE5IQCAfCIkuAQNgJEBYRFBB1RBQZdRT5jdu4i4MjKjgyLqOOOwiiCIogBBJC\ngEAAMSxhyUlCErJ00vu+Vlfd3x+3uqpvd1d3V6d6Sff79Tz9VM6559x7qnMDdep7z/mm+UD075JO\nkLuUe7Mx5lW5k6aVkp6w1kaHOL5u18kNTj9mrd3Z84C1tsIY85DcL/mvk/TlDM/d2xSlnr75hDHm\n/f206f6QO9sYk2etbe11fMiTGymZoG2t3KXNt8rdwqhC0ky5y62/KXdieba19g1rrWOMaZd7H+QM\ncOru4EZrr9dM+gzVW2nqu5MZzsrwfPvjOrnbElwtd/utF+Tef4/ITTrY+0k7AACA8YB5S3rMW/oa\n9XlLb4l8C3fK3b6oTtLF1tpNA/cakuHMW7pffcaY4ADBi+HMd7b1V2mt7TLGVMrN7TFa8537JP1J\n0lWS/iKpste/36pRGgeADBG4ANCfP0ra16uuTdJOuR8o+/vCNa9Hu3TaE6+5kmStjRtjPih3ifIn\n5S4rvjrxEzPG3CvpU9bamkHGW9Djz0NJqlUkdyuhnpr7a9iPjN/nUK5jrX3LGHOM3InA++Tuwdld\nrjLG3Gyt/dFQBph4gqQ7OeBhxpi1/TTrTqz2IWPM13ovmc1Qz9//tUNoX6S+H3qH+vvv9r+S5kj6\ntrX2Kz3qd0n6jjHGkbtE/XZJ5yeONcqdCA60JLl7uXT38u/u+ySTPkPVkqa++ympgSYdWWWtXZ/Y\n7/nzcrfgWpr4+YqkHcaYz1tr/zxa4wEAABgi5i3pMW/payzmLUnGmDK599AyuffoRdba14d7vl6G\nM2/peW8Vyg2kDKXfUKSb60ijPN+x1saMMe+TG7T4pNx5zvsSPzFjzB8l3WCtrR2N8QAYOgIXAPpz\ne2Kv1ky0yP1AM9Dy0e5jyQ97iad4/iTpT8aYIknnyN3250q5E4HDjDEnDrJss+eHR2Ot3Zy25f7r\n/gCW0fscisRE56uSvppYUXC+pPfKXc7+Q2NMwFp7+xBOtULuXqmSm7tgwQBtZ8tNhve3TMbaS8/3\neYi1tt+na7LFGFMiN6GbJP0hTbOVcgMX5/Z4UmqzpOmS5svNg9Gf+YnX7uXEm3vV92dBrz5DFUlT\nX5x4rc7gXKEMr91H4gm3GyTdYIw5Wu599AFJ75B0rzHmUmvtg/t7HQAAgCxi3pIe85a+RnXe0pMx\nZoqkpyQtlvQPSZdaa3sH3fZHxvMWa22bMWa33ODQfPUTuEgEWwp69huidHMdKfP5TjbmOnFJ90i6\nxxhTLPff77vkrnx5v6RFxpiTWWkOjC/kuACQLd0f+hb2dzDx4WBKophuWXajtfav1tqPyH1qp1zS\n8XKfaEorsfd+99NN/S1zzqbu9znLGNPfk0lS6nfQ7/scCmvtVmvt/1prz1Qqqd6nhti9O7nd7dZa\nX7ofSd9NtNvfZHc1cvdmlUb+9y+5TwP5En9Ot1y5e4m6X6kJ2YuJ15P665BYcVAo98mzV3v1OXGA\n8SxNvPa3h+tA0v2upiVeK3rUdU+AA+rfggyvPSBr7UZr7a3W2mPlbsUl9Z+gEAAA4EDDvCWFecso\nMMbkSXpIbtBipaSzsxy0kNwHs+KSFhtj8tO06W/eMuAcqUefXRmOud/fbyJpfHfgonu+0z3XSfcd\n5YIMrjsoa22DtfYv1tpr5T6ktU/ufO/kbF4HwP4jcAEgW9YmXi9Jc3xF4rVc0hZJMsacbYy5IZGk\nzsNau12pZHBz+jlf7z5rEq/97RMrY8wMY8y7jDEDLZ0ditfkPhnil3Rhmjbd73XtUE5ojCk1xlyZ\nSCLYn7sTr/39Hnqfa5bcJ5Gkvsntevtt4vWiRL9MJH//iadSupPUpfv9zzLGXGqMKejveIYqlFry\nfkKaNosTr/WSupf8dm91dGXvhGwJ3XvcPti9l6219hW59+tsY8zpvTsYYw5LjKFT7tLjTKT7+16W\neO25bLwp8TqznzHMlHR0htfu2X+2MeaDxpilaZoM+f4DAAA4AKxNvDJvYd7S77iyOG/p9gu5CdCf\nkHSZtXagbZSGJbHN0Rq5qxPe3ft4YtV6931wT49D3XOk96Y5dfcc6Z40x9OZY4w5qp/6U+Tek+1K\n5fzrnuv4jDEz+ulzfj91Q2aMOccY028wLbGd3POJIvMdYJwhcAEgW34iqUPSJcaYd/U8kPhi9b8S\nxR/2WH75bUk/lLsfqnr1mS3ptETxlR6Huj/U9F4Ce7vcBHzXGGOW9zyQeOLkt3KT6n116G+pr8Se\nqj9MFG8xxkzredwYc4XcCUCbpP8b4mlnyN2f9w5jzOH9HO/+EPnyEM71EbnbAG6w1r46UMNEErjn\n5T7F/+EhjjXd7/8Hcn//HzbGnN3zQOJD/+/k7uf6pSFeJy1rbafcZfqSdLMxZmqv602R9LVE8e7u\n5frW2mfkLs8+VNJNvfoskfT/JMXk3pc93ZJ4/bExprRHnzxJP5c7GfqRtTbdnrDpXGKMuajXOFZI\nOkvu7/KPPQ5tTLy+p58x/FRSukR6Q3GcpDsk/TrNRCGT+w8AAGC8Y94i5i0ahXlL4pwXyv3yv0rS\newZIlJ4N3fOWW4wxyRUPxpig3ByB+ZLus9a+0aPPvXIDdOcYYz7So17GmEvkboPWJPe+zURU7rZh\nydU+xpiwpG8mig9Ya9skKZEcu3v1hWdVTeLv6AMZXru370r6kTHm070PGGPmKrVS6pXexwGMLXJc\nAMgKa+1WY8y/yX2a5C/GmKfk7rM5U+5ep8WSHpT0/R7dbpT0qKTvG2Ouk7tMtTnRZ7ncvWdvT3xQ\n7faipKPkfgh6r6Tt1tp/s9Y+a4z5D0nfk/SoMeaJxPWnSDov8bpBqYnI/viOpNMT592USCJXJ+kI\nuR96uiRdb63dMZSTWWs3GWNukfRlSa8mzrddbnC5+5wtkj470HkST4BdlygO9tRSt9/KXRL7EWPM\nLUPY0/NFSYdL+okx5gOStlprb7DWPm2M+YrcSd1qY8wauR+Ay+T+nkoTfb8zxHEN5jOSjpW7tHer\nMeYxSZVyt1k6X1JJ4nq9JxzXyn2i7GuJScSLcu+3CyWF5SZl6z3R+q3cYMI1kqwx5hG5f8fny90P\n9ilJXx/Ge/iepAcS9+qWxLkukhsI+UGvCcUf5QZbZkh63RjzuNxJ5nlyJxI/k5tYezgeTpz/vZK2\nJc69W+7v4wS5v+MK9Qr2AAAAHIiYtzBvGeV5S3cAapekbxhj0rWLWWuTvzdjzE1y5zTduleaX9Tr\nwa2/W2tXSZK1do0x5luJa240xjwsNwH3mZKMpDcl/VvPi1prO42buHq1pF8ZY66R9IbcbcTOk7uN\n04esteUZvWvpabmrP7YYY1bJDWScI+kQuVt29Z6n/VDuPf+tRLCie360Qu698rsMr9/TpyU9Iul/\njDH/Kvfvt0Vu3pRz5W4XfJu1dut+XAPACGDFBYCssdb+Wu42N/dJOkzul8Sny31y4SOSLrfWdvVo\n/4LcvTR/JDeQepncfU5Pk/SMpCustb2favqqpMcT7U9Rjz3/rbW3yv2C+QFJR0q6Xu4XwVslfU7S\nMmttYxbeZ1TusuZPyk1Qdp7cL7XnSbpL0knW2rsyPOdX5C7pXSl3m6NrJH1QbjLp/5N0nLX22UFO\ns1zSwXK3Lbp7kLbd7pG7TPcQSWcP0lZyJylPyP0QulQ9/j9irb1F7ofRv8nduuh6uQGBzXIDDadZ\na5t6n3A4EkuhT5b7IXSj3Pf+cbl/FxvlJpnu8/edWMp/vNyJaInc+/J0SasknWWt/XE/13Lk3svX\nJN7Lu+U+eVQld1J2XvfWUhl6LDFeR9L75AZCNsm9rzyTvcRqjjPl3tsRuUvbz5f7uz5D6XN9DCrx\n/t4n9+mm5+Tu73qd3PcYlHSbpGMTy6gBAAAOeMxbmLdolOYtSq34OF5uAGygn54+2utY9wqXU3rV\ne/IyWGu/JumdcleorJD0IbnBh5slnWytrew9QGvtP+U+rPR/cv9ePir3IbF7JS2x1ma6Ja7kznFW\nSLpT7r+Ta+QGBf+UGEfvvCq3yJ0DbZL7b/HqRPvLrLV3DOP6Sdba9XL//f5EUo6ky+X++z1VboDl\n3dba4T4EBmAE+RxnsCA1AADIFmPMbrn7p55urV031uMBAAAAgGwwxnxU7mqmx621ywdrDwADYcUF\nAAAAAAAAAAAYNwhcAAAAAAAAAACAcYPABQAAAAAAAAAAGDcIXAAAAAAAAAAAgHGD5NwAAAAAAAAA\nAGDcYMUFAAAAAAAAAAAYNwhcAAAAAAAAAACAcSM41gPYXw0NDex1BQAAgANKcXGxb6zHgPGB+QwA\nAAAONKMxn2HFBQAAAAAAAAAAGDcIXAAAAAAAAAAAgHGDwAUAAAAAAAAAABg3CFwAAAAAAAAAAIBx\ng8AFAAAAAAAAAAAYNyZs4KJlzQrteeKhsR4GxoktW7Zoy5YtYz0MjGPcIxgM9wgGwv0BINt+99ht\nYz0EjCP8fwaD4R7BYLhHMBDuD4xHEzZwIUmdO1eN9RAAAAAAIGPlNdvlOM5YDwMAAAAYExM6cFE6\nfas6m5vGehgAAAAAkJHWjmY1tNSM9TAAAACAMTGhAxehcEwVTz041sMAAAAAgIztqdkx1kMAAAAA\nxsSEDlxIUqz6ybEeAgAAAABkrJzABQAAACapCR+4KJu5U61VFWM9DAAAAADISHn19rEeAgAAADAm\nJnzgwh90VLnur2M9DAAAAADISHnNDhJ0AwAAYFKa8IELSQq0PDvWQwAAAACAjJCgGwAAAJPVpAhc\nTJldoaa3t431MIJIT7YAACAASURBVAAAAAAgIyToBgAAwGQ0YQMXdfumespVz/1ljEYCAAAAAMND\nngsAAABMRhM2cBHNWeopR5x/jNFIAAAAAGB4yllxAQAAgElowgYupp9ymeLxVLl4er1qX3957AYE\nAAAAABkiQTcAAAAmowkbuMifM1e1e+d46upf/tsYjQYAAAAAMkeCbgAAAExGEzZwIUkqPs1TzI+8\nrHjPZRgAAAAAMM7tIc8FAAAAJpkJHbiYccZl6upMvcWC0lZVvfD0GI4IAAAAADJDngsAAABMNhM6\ncBEpKVVtxcGeupbNj4zRaAAAAAAgcwQuAAAAMNkEx3oAIy0062xJbyXLxSWvq6u9XcFIZOwGBQAA\nACBrjDE5kr4l6XOSnrLWntXr+A5J8wc5zdnW2rUDXGOwcxxnrX150MEOQ3eCbp/PNxKnBwAAAMad\nCR+4mHH6xWpa/TuF86OSpEhBVPueekhzz79ijEcGAAAAYH8ZY4ykuyUdJindN/ufkJSf5thnJB0n\nadsQLlcl6d/SHMtqIopQMEfRrk5JboLu+uZqlRZOy+YlAAAAgHFrwgcuQrm5qq9brBn5ryTruvY+\nLonABQAAAHAgM8aUStogaYukJZI29dfOWtvvfrHGmBMknSTpZmvtziFcstVa++dhDjcjheEpqu3a\nlyyX1+wgcAEAAIBJY0LnuOhWcMQ7PeUps3aotapijEYDAAAAIEtyJN0haam11mbS0RgTkPR/cldK\nfGcExrZfAvGwp0yeCwAAAEwmkyJwMfWEU9VUU5AsB4KOKp+6bwxHBAAAAGB/WWsrrLWfsNa2D6P7\nxyQdL+lGa21Hpp2NMXnGmBFLOuF0eBfHE7gAAADAZDLht4qSJL/fr9bYSSrUmmRdsOMZpd+eFgAA\nAMBEZYwJS/qypLXW2ocz6JprjPmhpA9KKpHUbox5VNIXrbX9blM1XIGOAimUKu+sfEubN28mQfck\nt2XLlrEeAsY57hEMhnsEA+H+QG+LFi0as2tPihUXkjR16RVy4qly6cwa1b3x6tgNCAAAAMBYuV7S\nHEn/mWG/6ZIWyF2tcbncraYukfScMeawbA4wRwUK+FLPmXV2tamloyGblwAAAADGrUmx4kKSihYs\n1M6nZ6lszt5kXd1Lf1Hp4mPGcFQAAAAARlMit8V/SHrVWvtEBl0/JClmrV3Xo+6vxpiNkn4h6ZuS\n3petcfrkU364RI3t1cm6nEJp0YKxe+oNY6f7CdixfOoR4xv3CAbDPYKBcH9gPMpa4MIYkyPpW5I+\nJ+kpa+1Z/bTJlfQlSVdLmi+pUdIaSV+z1m7O1ljSKjlL0h+SxcK8lxTriioQDKXtAgAAAGBCWSFp\nrqQfZNLJWvtkmkO/lvQjScv3c1x9+GM5nnJ5zQ4dueDEbF8GAAAAGHeyslWUMcZIWi/pE5L63XQ1\nkbjuAUlflfS0pI9I+p6ksyStN8Ycko2xDGTGmZcp2hFIlvOK21XxzKqRviwAAACA8ePKxOtfsnEy\na21cUrWkomycrydfR8RT3lOzPduXAAAAAMal/Q5cGGNKJW2QFJC0ZICmV0s6T9Jt1trrrLV3WWtv\nlXShpFJJt+7vWAYTLipWXaV3yVPHjkdH+rIAAAAAxo8LJO2w1g45CmCMWWiMuc4Yc1Q/xwrk5svY\nmcUxSpLCsWJPubxmhxzHyfZlAAAAgHEnGysuciTdIWmptdYO0O6axOsPe1ZaazdIelbSJcaYkiyM\nZ0CRhRd5yqXTt6qjoX6kLwsAAABgjBljZkuaKem1Qdod0ivZ9gxJv5T0g8RK8p6+KHfV+f3ZHKsk\nhZSngD+1rW1bR4vqm6sH6AEAAABMDPud48JaWyF3i6jBnCRpl7V2dz/Hnpe0TNLxcnNejJgZp56r\n6gd+qvySNklSKBzTvif/ovmXfngkLwsAAAAgy4wxiyUt7lU9zRhzRY/yw9ba1sSfu4MROwY59eNy\nAxwRSbLWrjfG/FbStZLWGmP+JKlD7uqNKyRtlPRfw3sX6fnkUySQr5Z46kGr8podKi2clu1LAQAA\nAONK1pJzD8QYUyhpiqR0KzK6l1UvVJYCF1u2bEl7rLP2COWXbEiWnbontGXLadm4LMa5ge4LQOIe\nweC4RzAQ7g/0tmjRosEbYX9cJekbveoWS7q3R/lgpQIVpYnXpmFc66OS1kn6pNxtbv2Stkv6lqTv\nWWuHc85B+bv65rkgQTcAAAAmulEJXEgqTLy2pjne0qvdiHIWnik3LYdr2kGV2rF3t3JmzR2NywMA\nAADIAmvtTZJuyqD9X+Ru6zRYuwX91MUk/SrxM2qC0XzPrK28ZsdoXh4AAAAYE6MVuBh1Az7dtmiR\ndt91p0pnpfaHzd3zghaecfYojAxjofsJWJ56RDrcIxgM9wgGwv0BYKREHG+C7j3V2xV34vL7spGu\nEAAAABifRuvTbmPiNT/N8YJe7fbb7l1vDHi8K9e7NVRe8B+Kx+PZujwAAAAA7LegchXwpZ43a+9s\nVU1jxRiOCAAAABh5oxK4sNY2S6qSlG4vpvmJ16xtDL36qUcGPD7jjHcrFk2tEi8sa1bVC09n6/IA\nAAAAsN988insK/DU7a56a4xGAwAAAIyO0Vxf/KykucaYef0cO11Sm3omnthP7a0Rtbc3pz2eO3W6\navYt9NS1bH4oW5cHAAAAgKwIxPI8ZQIXAAAAmOhGM3DRncTu33tWGmPOlHSCpHsSKzOyIqAcPfLY\n7wdsE5pznqdcWvamOpubsjUEAAAAABgWR07yz+GYN8/FLgIXAAAAmOD2Ozm3MWaxpMW9qqcZY67o\nUX7YWvugMeZ+Sf/PGFMkaY3cLaI+J2m3pC/v71h621vZNuDxmadfqPqVv1FuYYckKSe3S/ueuF/z\n3vmhbA8FAAAAAIbMCUTli+VIksJOkedYRd0udUY7lBMKj8XQAAAAgBGXjRUXV0m6t8eP5AYyetZN\nT9S/T9I35G4N9RtJN0p6SNKp1tp9WRiLR8gp0LPP/jXt8WA4rMam4zx1voY12R4GAAAAAGQkkp96\nxiygkHICqe2i4k5c5TXbx2JYAAAAwKjY7xUX1tqbJN00xLadkv4z8TMqXt20Raeemv546ZIrpPLn\nkuUpsytUZ19XqTlyFEYHAAAAAH3Naq3S25qRLIfiuepUa7K8u3qbFsw8fCyGBgAAAIy40cxxMSb8\nsSLt2LEx7fHSw49SbfkMT13dP/480sMCAAAAgLRy2rzp/0JdhZ4yeS4AAAAwkU34wIVPfj2x7tEB\n28SLzvKUiwo2KBaNjuCoAAAAACC91lCu4upKliPxEs/xXZVb5ThO724AAADAhDDhAxeS1NGWq9aW\nhrTHZ539HnW2pXbNyi3q0L61D47G0AAAAACgj2p/mfw5sWQ5pDz5fanpW1NbvRpba8diaAAAAMCI\nm7CBi7hSH/IDytEjq+5K2zansEh1NUd46qJ7B16lAQAAAAAjpSMe1txodbLsk185vgJPG7aLAgAA\nwEQ1YQMXvlCTp1xR3Tlg+4LFl3nKZbN2qmX3rqyPCwAAAACGIjfa5ikHY3me8m4CFwAAAJigJmzg\nYunxx3vKISdf69bdl7b91ONPUUNlcbLsDziqfOaPIzY+AAAAABhIazBPjlJ5LCKxXnkuCFwAAABg\ngpqwgYtjjjlXUV+jp27j5u1p2/v9fnUElnnqcv3PKR6Pj8j4AAAAAGAg1f4yOb6OZDnHKfQcL6/Z\noa5YV+9uAAAAwAFvwgYuJOnguVM85UCsUNu2vZS2/Ywzr1Ksy5csF5Y1q/L5tSM1PAAAAABIqyMe\n1hynKlkOKqyQP5wsd8Wiqqhje1sAAABMPBM6cLF8+QfUpdS+sD75tfaZx9O2z5s+UzV7F3rqWjc/\nOGLjAwAAAICB5MfaPeVQ3JvnYlfV1tEcDgAAADAqJnTgIhTMUVGxd6unzvY8NTZUp+0Tnn+Rpzxl\n+ma119eNyPgAAAAAYCBtwXxPORTzbhdFngsAAABMRBM6cCFJK869UnGl9n0NKKSHV92dtv2M085X\nS31ushwKx7TviXtHdIwAAAAA0J9qX5niSuW5CDvFnuO7q7aN9pAAAACAETfhAxdlZXPkz2nx1NXV\nSdGuzn7bB4IhNbcv8dQF254csfEBAAAAQDod8bBmO5XJco5TICmVl6+2qUIt7U1jMDIAAABg5Ez4\nwIUknXXK6XLkJMtB5Wr16rvStp+69Co5PXaYKp1Zo5qNG0ZyiAAAAADQr4J4Ks+FXwHl+Lx5Lnaz\nXRQAAAAmmEkRuFh02MmKBRo9ddt3p89bUbRwkWr2zvbUNbz05xEZGwAAAAAMpE+ei64CT5k8FwAA\nAJhoJkXgQpLecfihnnLIKdQLLzyUtr2/bLmnXDrlVXU2swQbAAAAwOiq9pUp7kST5UifPBcELgAA\nADCxTJrAxamnXqaor9lTt+G1N9O2n3n25WpvzkmWc/K6tHcNqy4AAAAAjLyQLxWo6IiHNcvZlyzn\nOIWetrurtynec69bAAAA4AA3aQIXknTQLO8HfH+sSNu2vdRv21Burhoaj/fUBZofH7GxAQAAAEC3\nqarxlAuVynMRVER+BZPljmibqhv2jtrYAAAAgJE2qQIXKy64Rl09PvD75NeaZ1anbT9l6dWecunM\nalW//I8RGx8AAAAASFJhe5un3BZI5bnwyaecuDfvBXkuAAAAMJFMqsBFKJij4uKYpy7WXqC6mv6f\nTio59HBV7/Em6W58le2iAAAAAIyswtI5nnLvPBfhPnkuto7KuAAAAIDRMKkCF5J0yQXvV0ypD/x+\nBfXw439M2z4w/UJPecrU19TRUD9i4wMAAACA0PEnZ5TnghUXAAAAmEgmXeCiqHi6QpFWT11jQ0Ad\nHW39tp951qVqbQwny6FITHvXpA90AAAAAMD+euHNRwfMcxHuFbiorN+jjmj/cxoAAADgQDPpAheS\ndO7pF8hRPFkOKqJHV/2+37bBcFhNLSd66kLtaxWPx/ttDwAAAAD7q75p34B5LvwKKuhEkmXHcbSn\nesdoDQ8AAAAYUZMycLFgwdGKBxs9dbv3NadtP3XZ+9UzTlEyo07VG9aP1PAAAAAATHJN8VblFc/0\n1FX7yuQ4Xcly2CnyHN9FngsAAABMEJMycCFJJx5zlKcccgq0bt19/bYtWrBQNeXzPHXNr/ffFgAA\nAAD2V8zXpfLZxX3yXMx09ibLffNcELgAAADAxDBpAxcnnHChor4mT93GzdvTtg/NudhTLpuxSe01\n1SMyNgAAAADYve/1gfNcxL0rLnZWblHcYUtbAAAAHPgmbeBCkg6ZN8VTDsSK9NrGJ/ttO/PMi9RS\nn5ssB3Pi2vvEPSM6PgAAAACTV2O0acA8FyHlyecEUsc6WlRVXz5q4wMAAABGyqQOXJx7zr8oqtZk\n2SefnnnxhX7bBoIhNXcs9dRFYk+RpBsAAADAiGh12uQr8D5sVaUyKZHnwidfnzwXb1dsHrXxAQAA\nACNlUgcugsGgZkwLeep8XUXasf3lftvPOP39isd8yXLRtEZVPr92JIcIAAAAYLLyOdpa2KEcX2ey\nqtMJa3Y8taqiT+CiksAFAAAADnwTNnDR3tIypHYXr7hWXepIln3ya/XTq/ttmz/3IFWXL/DUtW1+\nYNhjBAAAAICBNLRUaJrjza2X608FMiJOsefY2xV2VMYFAAAAjKQJG7hY/+kvDKldJJKn4uIuT12s\nI19VVW/32z684J2ectnMzWqt3De8QQIAAADAABpjrcpvb/fUNQVSwYocp0ByUqvCG1pqVd/sDXQA\nAAAAB5oJG7g4qflt1Q8xoHDJBe9XTNFk2a+gHl51X79tZ552gZprUwnxAiFH+564a/8GCwAAAGDY\njDE5xpjvGWPixpi1/Ry/yRjjDPBz+xCvs9gY82djTJUxpsMYs9kY83VjTE7W31RCly+q5iklnrrq\n+BTlxN1ghk9+hZ1Cz/EdrLoAAADAAW7CBi5mRJr16me/PqS2RcXTFclt89S1tYTV3FTXp60/EFBr\nbJmnriD4jGJd0T5tAQAAAIwsY4yRtF7SJyT5Bml+k6Qr+/n5zRCuc2TiOqdJuk3SRyQ9mTjnn4Y1\n+CF621+rAn9zshxXQLOdAfJckKAbAAAAB7jgWA9gJJ0a3ak9b76uOUccOWjbFcvfpQceXC2/ApKk\ngHL00Mo7dPWVN/ZpO+OcDyj6z9UK5sQlSfmlrdr7xIOae967s/sGAAAAAKRljCmVtEHSFklLJG0a\npMuT1tq1w7zcf0sqkHSatXZjou4uY0yLpBuNMZdaa/82zHMPqLGjSYuiOWoOFCTrfIFUjCbsFEva\nnSyToBsAAAAHugm74kKSSsLt2v2t7w+p7cyZh8qf0+Spq6v3q6OjrU/bvGkzVFNxhKcuvu/B4Q8U\nAAAAwHDkSLpD0lJr7Yjtj2SMmSXpPElregQtuv048frBkbp+i9OqUMxbVxeYkvxz762iqurL1dre\nLAAAAOBANaEDF5K01NmlTaseG1Lbc049W47iyXJQEa187Hf9ti065r2ectmcvap749XhDxQAAABA\nRqy1FdbaT1hr2wdvnZLIiZFJXoolcrehWt/PGLZKqpV0ciZjGEzI6TE8n6PdU0LyyUlW1ceKVRxr\nkOTm6As5+Z7+rLoAAADAgWxCbxUlSfmhqNp/9XvpvPMHbXvIoiVatW6tAl3Fybo9Fe3q6upSMOj9\nVU097iTt+v10TZldmayre/FulS4+JnuDBwAAAJBNVxljfiJpsSQZY16T9D1r7Z2D9FuQeN2d5vhO\nSccaY4LW2q5sDLQwkKvaeGeyXBWt0Xx/WDXx1EqLqb4qNcidu4TjRYoGWpLHXt70vIId3pUYOPBt\n2bJlrIeAcY57BIPhHsFAuD/Q26JFi8bs2hN+xYUknRTco3/85rdDarv02Hd4yiEnX2vX/qH/xlNW\neIvTNqq9tnY4QwQAAAAw8i6U9LPE642SiiXdYYz5j0H6dUcAWtMcb+nVbr8V5M7wlJtirSppr/fU\ndQbDyT9HnGLPscrGndkaCgAAADDqJuyKi5ZojvJD7hNKOYGYClY+Jn342kH7HXvceVq/4fsKxouS\ndZt3VGl5P21nnfse1T3yR+UVdUiSQuGY9q65Wwdf8alsvAUAAAAA2fF7Sc9JWm+tbUjUrTTG3CM3\nofc3jDE/t9bWpz3DKLvwzA/q53//uuRzt4eK+jrVHgx52lRrquTEJZ9fYafIc6y2pULzF8xTTigs\nHPi6n4Ady6ceMb5xj2Aw3CMYCPcHxqMJu+JiveZ6ysfn7NWTt3xnSH2PMvM95ZBTqPXrH+jTLhgO\nq6ltqacu11mreCzWpy0AAACAsWGt3WqtXdkjaNFdXynpz5JyJS0b4BSNidf8NMcLEq9N+zXQHuZO\nn6d8X66nbmd+h4K+1E5UbfFczYy5W9cGlKOgE0keizsx7aramq3hAAAAAKNqwgYuFnzzi6rrSH3Q\nD/gdzXtpw5D6nn7aFYr6mj11L7/R/x5vM874oGJdvmS5sKxZ+55eOYwRAwAAABgDFYnXogHabEu8\nzk1zfL6k7dnKb9GtKOwdUmNXk6ap2lNXEEzltei96uLtChJ0AwAA4MA0YQMXMxcdpvXhgzx1R+dW\nas3nBtu+1nXw3BJPORgv1ksbHu3TLn/OXNXs9S6j6tzZd3UGAAAAgNFnjAkZY95rjLkyXZPE60BJ\nIV6Q1KV+VmUYY46SVCJp3X4NtB8L55/oKTc7bcpr96bZaAmkFoGE4948F29XErgAAADAgWnCBi4k\nacn/fFf72gs8dUfu7H/lRG/nLf+gomrx1D338sZ+2+Yf4Z0DTZ29U/VbN2UwUgAAAAAjwVoblfRN\nuUm4PU8cGWMWS7pM0m65wYnu+kOMMYf1OEe1pL9JOssYc1yvS3w28frLbI/93BPfpaCTymvh+OKq\nyvVO4ariUxWIRyX1XXGxq2qrYvGsLgIBAAAARsWETc4tSXklpVpTOF+XRl9P1h2SW6u/Xf8pnfOL\nHw/YNxgMau6sfFXsTdUFYkV6beOTOuroMz1tpy5Zpr33TFHJzFpJks8v1a6/SyWH3py9NwMAAADA\nIxF4WNyrepox5ooe5YclfVLSSknrjDE/kbRd7kqLGyTFJV2fCHB0e1zSTEmRHnWfl3SGpEeNMbdJ\nKpe0QtIHJP3KWvtU1t5YQigUUmEgT3XxVGqOfaEWlUXb1BZ3t8XtcoKa7+zS2zpIQUXkd0KK+9y3\nEu3q1N6atzV32iHZHhoAAAAwoib0igtJOvV/vqftbaWeupMbd6i+ct+gfS9c8SFFlVqK7ZNP6178\nR592fr9fXQXneepKSl9SZ1Njn7YAAAAAsuYqSff2+JHcQEbPuunW2sclnSzpGUmflvRrSR+VG8xY\naq0dNEmdtXabpFMlrZX0BUm/knS8pM9J+ljW3lEvpUWzPOXGWKumdXnzXAQDbqDCJ58iTq/toshz\nAQAAgAPQhF5xIUmR/Hw9e9BhOrj6+WTdjEizVn72qzrtzoFXc4eCOZo5PUc1lak6f1eh7Kb1Moef\n4mk7e/l71bj6L4oUdEqSwnldKl99jxZc/q/ZezMAAAAAkqy1N0m6aYhtN0h69xDbLkhTv0VusGTU\nnHnSldr26LcknyNJ6vR1KN7VKeWk2tQHSqSY++ewU6TWHgm8d1Rs1rKjLhzNIQMAAAD7bcKvuJCk\nc77/Xb3SNsNTt6xrl7Y+9eSgfS9eca261J4s++TX2uf65t0L5eWpoWmJpy6n43HF4/FhjhoAAADA\nZLdw9qHK9+V66nbnefNW1MZKlR9vkiSF4948FzsrNyvuMCcBAADAgWVSBC4kad+yZYrGUm+3MKdD\nTT/91aD9wuFclZX5PHW+aJG2bdvQp+200/5FPeMUxdMbVPHM6uEPGgAAAMCkVxT2bv9U42tRiT+V\n98KRTzMdd5VFSPnyOYHksdaOZlU37BUAAABwIJk0gYtlN35aL3TN9dSdHNij537+s0H7XnrRtepS\nR7Lsk1+PP/14n3aF8xeqes/BnrqO7X8e5ogBAAAAQDrKnO0ptzitKuqs89TFQm6wwiefwo531QV5\nLgAAAHCgmTSBC0kKX/cvaommNoPNCcRU9vjg20VFIgUqKYl56uKdhdr59mt92uYe5t3ydtrcnaqz\nrw9zxAAAAAAmuzOOv0A5CqcqfFJtIiF3t2pNSf65d+BiR4Ud0fEBAAAA2TapAheHn3e+nvUf5Kk7\nNrJXa7745UH7XnrRNYqpM1n2K6DHnnykT7vpJ5+pun1TPHV1z98xzBEDAAAAgFQczPeUy0Ot8iv1\ncFVzvEBTY+52Uay4AAAAwIFuUgUuJGnRt7+mqvbUh36fT1q8bdOg/fLzS1VQ2Ompi3UUqnyPdxLg\n9/sVL77YU1c2faNaqyr2Y9QAAAAAJrPZM4/0lBvVqjJfraeuO+9F2CmUnFSevoaWGtU314z8IAEA\nAIAsmXSBi6nzFui5gnmeukNza7Xm+k8N2vfSCz/QZ9XFyjV/69Nu9vIr1FqfmywHc+La9zirLgAA\nAAAMz0XL3q+AE0yW476YnK5mT5u2gDsH8cnvBi96eLuSVRcAAAA4cEy6wIUknfLD27S9rcRTd3Lj\nDtVX7huwX1HxdOXlt3vqou35qqp621MXDIfVHD3dU1cYWaeudm9fAAAAABiKvNw8FfnzPHUVIe/8\nosKZpkDczX3RJ8/FvsFXmQMAAADjxaQMXETy87XxIOOpmxFp1muf/eqgfS++4GrFlEqE51dQDz36\n5z7tZi2/RtGOQLKcV9ShPav+uB+jBgAAADCZlZbM9ZQrfU2K+FPBiy4npIOcvZKksFPsabtt75sj\nP0AAAAAgSyZl4EKSzvn+d/VK2wxP3Wmxndq06rEB+5WVzVE4t81T19mWp8p9Ozx1kbKpqq16h6cu\n2LxS8Xh8+IMGAOAA4ziOHMcZ62EAwIRw3inv8+SuiPo7VRj35q7wB935Rtgp8rStbaogzwUAAAAO\nGJM2cCFJ+5YtUzSW+hUUhDrV+as7B+13yQVXKK6uZNmvoB5a1XfVxZRTr5HTI05RMqNOlc8+vn+D\nBgBgHHMcR6/VRnXbK00676FKTftduRbcvVfLH6rUx5+q1W2vNOmBHW16rTaqti4CGgCQibnT56nA\n590uqkGtnnK1f4okNx9f7zwX2/ex6gIAAAAHhkkduFh246f1fJd3ufVJoT168pbvDNhv2rT5Cud5\nJwjR9nxV7NvmqSs59HBVly/w1LVv6xvgAADgQNbe5WjV7nZ9bn29jr63Qqc9UKlvbWjUP6qi6nKk\nhk5HL1ZFdc9bbfrWhkZ96IlanfZApWbfWa4rH6vWm3XRwS8CAJAkFedO8ZT3BprlU+ppqcZYkabG\nqiX13S7qrb2vj/wAAQAAgCwY9cCFMeZIY8xdxpi9xpioMabKGPOAMea00R6LJBXd+DE1doaT5aA/\nrkNeenHQfu9c0TfXxd9X3d+nXWTRVZ7ytLlvq84yYQAAHPi64o6++3KjDv3DXl25qka/3NSi3S2x\nIfd3JK3a06HTHqjUF5+vV30H2ykCwGCOP/pCT7nF16JSf62nrtTfKEmKOCWe+u1732T7PgAAABwQ\nRjVwYYw5TtILki6S9EtJH5H0A0lLJD1pjHnnaI5HkhaeskzrcuZ76g7PrdbjH7thwH5lZXOUm9/u\nqYu2F6h8z2ZP3fSTz1LdPu9TUXXPD74dFQAA41l5S0yXrqzWLS81qXk/t3yKOdLP3mjRkvsrdOfm\nFsX5Ug0A0jpp8TJFFElV+KRovNnTpimYL0kKO4XyOakpX2NrnWoaK0ZlnAAAAMD+GO0VF1+VlCfp\nvdbar1lr77TWflvSuYmx/Ocoj0eSdNL//kC727zLqJfWb1fdrj0D9rv0gvf1WnUR0CNr/uZp4/f7\nFS++2FNXNv1VtVVX7ueoAQAYG6t3t+v0Byr1bEVnv8cjAemCgyK6/dQSvXblDG28cob+ekGZbl1a\nrI8dka9zJqhEbgAAIABJREFU54R1UEGgT7/q9rhueKZe5z1UpX9W9X9uAIBUHPLmrqgIeAMXVfGp\nyom3yye/m6S7h21sFwUAAIADwGgHLg5JvD7ds9Jau0lSpaQFozweSVIkP1//nH2Yp25GpFmbvvT1\nAfuVls1SXoF31UVXe4H27PYmvZu9/Aq11ucmy8GcuPau/t1+jhoAgNEVjTu66cUGXbGqRjW9tnWa\nEvbrwyZP9yyfom3vn6U/Li/TtSZfcwuCOqggqLNmR3T9EQX67tIS3Xf+VL16xQz9/pwpmtdPAOOf\n1VGd+1CVPv9cvWJxVl8AQG/z5h7nKdeoUXn+lmQ55gQ019knqe92Udv2kqAbAAAA499oBy66PyV7\nogTGmGJJJZJeG+XxJJ17+616pW2Gp25ZfKc2PvDXAftddtG/KKbUU6HuqouHPG2C4bCaot4UHoWR\ndepq9wY9AAAYr3Y3d+mSR6p1+8bmPsfOnh3Wc5dP1w9OLdWKg3KVFxz844XP59Ml83P1/OUz9KXj\nChXpG7/QL95s0SfW1RG8AIBeLjz1KgWdULLs+OPKidd52sRD7n+Leyfo3r7vTcUdcgoBAABgfAuO\n8vX+S9IFku4wxnxS0iZJsyR9U26Ozq9l60JbtmzJuM/bJ56oI155RDkBN7FoXigq/933asviIwfs\nF8ltVbQtJ1mOdRTq+ece05Syg1N1h5yhaOUahSKJcxd16I17f6rcpZdkPE4M33DuC0wu3CMYzGS8\nR16o9+vLm8Jq6PJ56v1y9LH5UV07t1UNu+vUMMzzvztfOuU4n27fHtKaGu9Hkz+91abmxiZ9/bBO\nBXxpTjCOTMb7AwNbtGjRWA8BE1AoFFJRIE+18dR/eWv9LfL3iEdUqUxy4spRgXxOQI7PnYe0djSr\nonaXZpXN731aAAAAYNwY1RUX1trXJJ0iKSB3u6gqSa9KOlnSBdbataM5nt7mX/YurY/N9dQtySnX\n9l/9dsB+xx19Vp9VF69sesnTJlBcor3lR3jqpuU8IycW279BAwAwgjY1+/TZN/oGLablxPXTozv0\nkYO65M9CQGFWxNF3j+jUj49q14yw90ngh6uCunlLjmIsvACApKmlCzzlCl+jAr7U3KIlnq+Z8Sr5\n5FOk16qLbfvYLgoAAADj26iuuDDGGEkPSwpL+ne5Ky6mS/qspAeNMe+x1q7KxrXmFPuVN/2QwRv2\nsvOzn1b9bV9RSdjdxingd3TMtjc1c5Cn5Ta+uU5tTalVF060WKFgixYcfGyyrjH4ccW33iB/wP3m\npWhas2I7X9Pc86/IeJzITPcTsDz1iHS4RzCYyXiPlLfE9IWHKtUe9wYSls8J62dnlGpqf/s77adF\nkk473N2WandL6gu4v1cGVVxUpB8tK1EgG5GSLJuM9weAsXXRGR/Ulvs3yvG5/42O+jtU6NSo3pme\nbFMQcPNeRJwStak2Wb9t7xtaduSK0R0wAAAAkIHRznHxS0lzJJ1urb3dWrvSWnuHpKWSmiT9xhgT\nGvAMQ/TIfTcNq9+8JSfomcgCT92hubV64rpPDtjvsouv7bPqYtVT3hhM0cGHqrrcmwRcVX9VPM4e\nswCA8aU5GtfVq2u0t9X7/6gvH1eoP51XNiJBi24LCoN6cMVUzcnzXuPura369LP1ijssvQCAsuJp\nKvTleepanRZPuTFQKEkKx70rLnbss4rFu0Z2gAAAAMB+GLXAhTEmX9IySRustdt7HrPWtklaKzeo\ncVjf3pl7Odev1//2rWH1Pfkn39fbbSWeumUt27R746tp+xQUlqqo2Pvh3+ks0rZtGzx1Rcd/yFMu\nnVWtyueeGNY4AQAYCbG4o48+WadXa6Oe+n87Ml9fOLZIft/Ir3g4uCiohy6cqtl53o8qd21p1Y3P\nELwAAEkqzp/mKe/1N3rKVbEy5cZbFFKe/D2SeXd2tWtP9Y7RGCIAAAAwLKO54iJXkk9SJM3xSK/X\n/fa3ik1q3PVKxv0i+fl6ZZ5Rz+9EpoTbVPHt7w/Y710XX6MudSTLPvm16snHPW3Kjj5e1bsP8tR1\nbL0n4zECADBSvvZig1buavfUrTgoopuXFKfpMTLc4MU0zeoVvLhzS6s+t75BDsELAJPcshMuk3r8\np7DF36R8f1Oy7MivOarsP8/F3tdHa5gAAABAxkYtcGGtrZa0RdIxxpjFPY8ZY6ZIOkdSo6TXsnXN\n1lBADz34PcWHkQD7nNu+q392zPbUnRrYpXX//YO0ffLzS1Va4r2Wr6tYr2180lMXPvRqT3nq3F2q\nfvWfGY8RAIBs+9WmZv3v696tRo6eEtIvzywdk9wSC4uCemhF3+DFr22L/vhW26iPBwDGkyMXHqv8\nXttFxZx6T7kz6KY1jMS9K8q37SVBNwAAAMav0c5x8dnE69PGmG8aYz5gjLlR0ouSSiR9wVrbkb57\n5t7MC+ql+74yrL6d732PWqOpJdWhQFzznnt2wD6XvfM6dSn1lKpPPj39j3942kxferbq9nqXdTe9\ndMewxggAQLY8vqddX3iuwVM3K8+ve5aXqSA02h8ZUg4pdnNezMz1juFz6+u1rZE92gFMbiWRUk+5\n0t/sLWua5MQVcbyBi12VWxXt6hQAAAAwHo3qtxDW2gclnSbpKUmfkPRbSd+QtFXShdban4/EdR9p\n3KPazU9n3O+Yd79HT/vne+oW51Zpzb/ekLZPJFKgGdODnrpgrFgvvPBQsuz3+6Xpl3vaTJ29WY3b\ntmQ8RgAAsuHNuqg+/EStYj22HMkL+vSHc8s0J3/kEnEP1aHFId1/wVTlBlKrPpq7HH30yVpF42wZ\nBWDyOvG4Sz3bRdX7ahX0pXIUtccjmhvfp4DCCjjhZH1XPKqdlcw/AAAAMD6N+uOT1trnrLWXW2un\nW2tD1top1trzrbUrs3mdnFg8+eeOoF9/Xf1TxYbxRNFxP75Ve9qKPHWnNrylfVs2p+3zzouvU1St\nnroXN1pPefY571JjVeq8/oCj6nW/yXh8AADsr86Yo4+srVVjNPXNl0/SL84o1bFTc8ZuYL0sLg3p\n2yd592jfUB3VLS81pukBABPfCWap8npuF+VzFPTVedpEgh2JPBe9tovax3ZRAAAAGJ/Gbt+HEXZB\n3gxPeXteSM//4fMZnyevpFT/nO1N1D010qpd3/h22j6hYI4WHOQNdoTiRVr7ZCoJtz8QUGdkhadN\n2fSX1Vq5L+MxAgCwP27f2KQ3671bLt18YpEunp87RiNK71qTp4vnRTx1P3i1WU+WZ3WnSQA4oBSH\nvUHdOl+Tt+x3j0fivRJ0l78xsgMDAAAAhmnCBi6WXPVdHdYa9dStitap4uUHMz7XObffqpc6Znnq\nlvl3af2Pfpy2z/nLP6ioz7u/7Btb9qqrK/XF0JwL3q/WhtSXL8GcuPat/nXG4wMAYLi2NER12yve\nL7iuOiRXnzyyYIxGNDCfz6cfLSvxJOt2JH386VrVtsfGbmAAMIbeceQFnnKNr9pbjpWqMN6osOMN\nXOyp2ab2Tu9KcQAAAGA8mLCBC38goEsv+oxyu1JbRnX5fbp//R8Ubct8S4mWy96ptq5Uou6cQEyz\nnn4qbftgMKjFh3qDHSGnQI+tvjPVJhJRc/RsT5uSwvXqbGLLCwDAyIs7jm58pl6dqf9VamrEr++c\nVCyfz5e+4xibEgno52dMUc8R7m2N64Zn6uU45LsAMPksO+Zs5Sq1Si7uiyrH33NO4dNMVSuosIJO\nqp3jOHq7Iv0WuAAAAMBYmbCBC0kqXrBEl5Qd4qkrzw1p7V2fyfhcx73v/Vrnm+epOyq3Ums+9um0\nfc4662pF/d4gxI5djYr2yLUx+4IPqaM1lcw7nB/VnpW/y3h8AABk6s7NrXq2wpv/6ZaTijUlMvbJ\nuAdzxqyw/v0Y76qQv+9s128sTw4DmJyKc7xb1baowVNuC7orvSNxb56Lt/a+PrIDAwAAAIZhQgcu\nJOmoS7+mY9q8W0c8HejUtid+lvG5jvjv/9Le9kJP3dL6t1S9c0faPiccdZinHFKeHvz7r5LlcHGJ\n6htO9rTJD6xRV3t7xuMDAGCo9rXG9LUXvV9qLZ8T1hULx19ei3S+dFyRjp8a8tR9+YV6baqPpukB\nABPXkYd7V3LX+Go85X3OdAWdTkV6bRe1bS8JugEAADD+TPjAhT8Q0MXv+aaKO1K5JRyfT/dvflqt\nlW9ldK6S6TP1wvRFnrrpkRZt++I30/Y5+eR3qivg/WKoorJL7e2p/Bczzr1OXZ2pv4r8kjbtXnmn\nAAAYKV98vkGNnaltlfKCPn3/lJJxvUVUbyG/T788c4oKgqkxt8ek65+sUyzOllEAJpezjr9QYaXy\n53X6mhX0pR6G6nKCmhcvd/Nc9PhPZEXdLrW0s1UtAAAAxpcJH7iQpLzph+jdh50uX499rxvCQf39\nvm8oHssskee5P/pvvdw201N3mn+nnr39f9L2Of3EE+X0mB0EFdFfH0ytusifOVs1le/w9MntWqlY\nlCdGAQDZ98jONv11R5un7ivHF2l+YTBNj/FrYVFQt57i3fZkY21Ud2xmyygAk09xqMfqcJ/U4av1\nHI+FAgoopJDyPfWsugAAAMB4MykCF5K08OyP6/RYjqfu1dyAXv3LNzI+V/0lF6qtK/XlTk4gpnnP\nPp22/VFHnykn6F11UV8fVGNDZbI87czrFetKPTFaMKVFe1benfHYAAAYSGNnXJ9b7/1/0nFTQ/r4\nEflpeox/Vx+Sq8sXeLe4unlDo+o74ml6AMDEZA5Z5inX9Apc7NM0+ZxYnzwXW8tfG/GxAQAAAJmY\nNIELSTrrA/+t2W3eVQwP1b+t2s3pgw79WXLNh/SUb4Gn7vDcaq39yCfS9ll+2tlylPoCJaAc3f9Q\najuowvkLVb3vKE+fnPYHFeti1QUAIHtu3tCoPa2p1YYBn/TDZaUK+A+cLaJ68/l8+q+TipXXY8uo\n2o64vvMyW58AmFzOX3q5cpxwstzua5Dfl5pPdMQjmhcrV65T6um3Zc+rchy22AMAAMD4MakCF6Hc\nIr1n2b8oGEsFEDqCft2/+qfq6mgboGdfx/34Vu1u8ya2O71tu7Y+9WS/7Q9ZtET+sPcLlI7WPO3e\n9UayXLbsesVjqS9dCsuaVf7YvRmNCwCAdP5R2alfvtniqbvhqAIdPSWUpseBY3Z+QJ85ptBT94s3\nW0jUDWDSKQ4VpAo+RzFfned4IBRX2CmSz0lNBZta61VRt2u0hggAAAAMalIFLiRp+jEX6cK8GZ66\nt/NCWnf3ZzI6T15JqTYsOFJxJxVoKM5pV9v//iJtn3ee/x7FlUoS7ldQDz/+91T/Qw5TVfnhnj6B\nxgcyzsMBAEBvjuPoSy/U98zHqgWFAX3h2MK0fQ40nzyyQPMKAslyzJG+/HwDTxEDmFQWzjvJU67x\n1XjKlf4y+Ry5Sbp72LJn44iPDQAAABiqSRe4kKQlV31Xh7d2eeqeUIt2PXNHRuc553vf1gsdczx1\nJ+fs0ZovfrXf9jNmLlReQbu3Mlqk1zY+kSyWLv2o4j225C6e3qA9q/+S0bgAAOht5a52vVjlXX1w\n+6klygtOnI8CuUGfbj7R+0XcmvIOPbq7PU0PABOFMSbHGPM9Y0zcGLM2TZsCY8zNxphtxphOY0yd\nMeYxY8y5Q7zGDmOMM8DPsVl9U8N0wSnvUchJ5fZr89XJp9SDUM2xAs2OVyrXmeLpt2XPq6M2RgAA\nAGAwE+fbigz4AwG9611fUkFn6gN83OfTn197VG01b2d0rsgnr1dDZyR1bp+j47ZtVGt9Xb/t333p\ntepS6gsUn/x6+oV/Jsul5khV71nkHW/tfYrHSTAKABieuOPoWxu82xVeNC+is2ZH0vQ4cF06P6LT\nZ+Z46r78fIM6Yqy6ACYqY4yRtF7SJyT1m7DHGJMraZ2kL0paLel6SbdKeoekx4wxFw3xclWSrkzz\ns3347yJ7QqGQioOp7aIcX1yOv97TJi/Ypty4N8/F2xVb1BHNbPtcAAAAYKRMysCFJBXMOUqXzzvO\nU1cbDurvf/pKRlszHXrGmXo692BP3UG5DXrpU5/vt31+fqlmTA966oLxYj351B+T5eIl13mOl8yo\n094nHhzymAAA6OmBHW16vS610tAn6cvHFY3dgEaQz+fTLSeXqGeu8W1NMf38jeaxGxSAEWOMKZW0\nQVJA0pIBmv673CDFf1hr/9Va+ztr7bclnS93TnTTEC/Zaq39c5qfhv14K1k1f4538Uetr9ZTrvGX\nKqiIgk5usi7uxPRW+RsCAAAAxoNJG7iQpMNWfFandHp/Ba/kBvTy/f1v9ZTOWb/+qWzbVE/dGc7b\nevGO3/Xb/tKLr1fU502O+vrmcnV1uV8qTTnyWFXtWug57lTcy6oLAEDGuuKOvv1Sk6fu3Qfn6qgJ\nkJA7naOmhPRhk++pu/WVJlW0kjMKmIByJN0haam11g7QrlHSfZJ+1bPSWvuKpHJJx4zYCMfAxae/\nX0En9d/5Vl+N1CPLUV2sRP+fvfsOj+I6Gz78m+3qXQiQhChi6MYGjE0xxQX3HvduJ7Hj5HXi90uc\nvGlOjxPHdhwncY3j3m2wjY0LzaaDDaYPQkIgJNS7tH3n+0Owq1kVBIhVe+7r4pLmzDmzZ2DZnZlz\nzvOk+qtwBBIN7fZKngshhBBCCNFLDOiBC4BzbnyEwU5jzO/F9Qcp3/rRMR1n3xkz8fhDCUGjLF6S\nPvy43boWi4UxI40Jwq16LIs/Dt1HxZ5yu2F/UkYlZas+PaY+CSGEEG/kN5NXF1ptYVbgZ6f2n4Tc\nHfn5qXEk2kLLLhq8Or8LC5clhOj7NE0r0zTtHk3TOk1mo2naE5qmXR2+KkJVVTMQQ8vAxjFRVTVa\nVdV2Q1P1tPBwUQHFh2IyLghJMtURpRvDReUVb0PXJbSeEEIIIYToeZajV+nfbDFJfGvWLTy54RU8\n5pZxHI/ZxNurX+aukWdii0k6yhFazLr/R6y6YSvzzaHQtqdElfL+d37A/Kf/0ab+/HnXoxX8DUsg\nFKqjpNRDc1Md0TEJpE6eRuGL2aRlHgju9x14DTj/OM9UCCHEQOPx6zy0xbja4vpR0YxK6L+rLY5I\ndpj52anxPLA+9KDulbxm7hwTw6mptk5aCiEGmOuBBOCxLtaPUlX1ceBmIBFwqar6CfBTTdN2d2fH\n8vLyTqh9csJwqqpDefdqqCaR0AqLWks8dn8Cim5CV1pWdtc2VbJp6zoSo1PbHE/0Dif6vhD9X3e+\nRwI6vFps4d1SC3YTjIoJkBsTaPkZrZNq01F65fCt6Ix8jojOyPtDhMvNzT16pZNkwK+4AEibeD4X\nxWcayg5FWfn8lfuP6Tgj/vxrylyxhrJZ9Xsp2LC+3fpnnjYJvdWSbQsO3vvw+eB29LhbDfWTh5RR\numbpMfVJCCHEwPXiniYONIbCI1lN8ONT+v9qiyPuGBPDmMTQHA0d+L8NdTKbWAgBgKqqpwH/BPYD\nv+tis3QgB/gucAXwNHAxsE5V1dEnoZvHbeqoc7HooYHaJlOVYX+lP4X4QDN23ZjzqKQmPyL9E0L0\nbrVe+OFOO38vtFHkMrG32cSSCgv/KLRx3w4HF26M4tz1Udyzzc7iMjMBubwSQgjRzQb8iosjJl/5\newqevpVvokLhntbaAgz/6C+MvfAnXTpGanYOS9NHc2nd18FZB8l2J9oj/4DXp7d9zVPPZf2Wv6L4\nQjOfGuptVFTsJy1tGOlTZ7L/paGkDi0O7vfkvwwzzj7OsxRCCDFQOH06D39jXG1x2+gYhsUNnK9+\nq0nhT6cncMWnoYd1a8s8fHHIw5wh9h7smRCip6mqei4tOS+cwEWaplUfpQnArYBf07RVrcoWqqq6\nDXgG+A0tKzi6RXfMbkv6OpYKX8up+RU3KI2gt0y00lEYTAUlehIuaoNtajwlPTqzTrTvyAxY+bcR\nHenO98j6Mjd3rKih+Cj5wep8CpvqzGyqM1NkjuHhMxJQZAlGryWfI6Iz8v4QvZGsuDjMZDZz0TV/\nINntM5QvLN5K7b4NXT7O2f94hE3uoYay6baDLPvfB9qtv2De+QQIXQyYsbJoyZvBbfuomwz1U4Ye\nonT1513ujxBCiIHp2d2NlDoDwW2HGf53AK22OGLeUAfnDjUOUjy0RXJdCDGQqap6B/ARUAHM0jRt\nR1faaZq2MmzQ4oj/AC7gnO7rZfcYOewMw3adYhyfabJGExUwhsYtLNXweN0nvW9CiN5H13We2N7A\nRR9XHnXQItxzu5v4w9cNR68ohBBCdJEMXLQSlTKMqydegKnVGsdmq5n3Pn4Mv7fTfH8Gyt13UOdx\nBLdNCkw7uJPKA4Vt6ubkTMQW1WgoC7ji0XavBSDjzHlUFQ827Pfue4lAIIAQQgjRngZvgMe2Gr9b\nvj02loxocwct+rcHTjWGQVlT5uHLQ/JQToiBSFXVHwHPARuBMzRNO+FAzpqmBYBKIP5odSPtvDOu\nxKaHBm+bw8JFlQXSiA4omFvV8Qd8FJZ1a7oOIUQfUOsOcOOyan6xsR5fWNin6ek23j43hYemJ3DL\n6GimpFqJMrddWfHw1gb+sV0GL4QQQnQPGbgIkzXjJs61GO85CqKtfPHyfV0+xph5Z/NF9AhD2WBH\nA/t++mC79S+/4Eb8eILbCiaWrVkd3Lbn3maonzykjNIvl3S5P0IIIQaWf+9opModGuCOsyr8cGJs\nJy36t6lpNs6WVRdCDHiqqt4C/A1YApyjaVrFMbQdoarqnaqqTmhnXywwFDjQbZ3tJlarlSRbQnDb\nSxO6EpqQ5dfNZOulbVZd7Dm4NWJ9FEL0vO3VXua8X85HB9pO2PzBhFg+vCCVczIdfHdcLI/PTGLp\nJekcvGkwn12URpLdOIDxy431vLSnKVJdF0II0Y/JwEU7zrzhEXKbvYay5TjJX/rPLh9j3nP/Yrsz\n3VA2y3SAL/7wxzZ1k1IGk5xsXEFh8SewYsXrAAw6Yw6VB43JwwPFr8qqCyGEEG3UuAM8sd242uKe\n8bGkOAbmaosjHphsDJO1qtTDqlJZdSHEQKGq6hjgKWADcKWmac1HqT8yLNn2IOBZ4FFVVcOnGf8U\nUIB3u7HL3WbC2PmhDQUaFOOqC6/VikM3DlzkFW+LRNeEEL1ArTvA1Z9Wsr/RGBoqwabwyvxkfjct\nAaup7eoKs0lhWrqNt89NJdZi3H/fmloWFTpPar+FEEL0fzJw0Q6zxcbllzxAnCf0xa0rCm/nr6V+\n/+YuH6fy4oto9lqD21ZzgDHfbMTV1Hb2wRWXfRcvxvKdeaV4fS0rMaLG327Yl5RRyaHlH3S5L0II\nIQaGf+1opN4bWt+faFO4d/zAXW1xxOnpduaFJeR+aLOsuhCir1NVdZyqqlcf+XO4OK11maqq0cAf\nAAfwMXBR2P4jf9JaHXopEFx2oGnaWuC/tOSxWKGq6r2qqt6lqupbwM+BbYdfo9eZe9oFRBEV3HaG\nDVyU6ulE+2NBDz14rG4oo6q+LGJ9FEL0nD9trjfkRQM4NdXKykvTuWhYVAetQqak2Xjl7BRsrZ4u\nBXT49spqlhd3PeS2EEIIEU4GLjoQn3UKV408E0UPPfxptJl5Z/Ffu5zvYuott7LSnGMoGxFVw6a7\nf9imrtViY1xuhrGMGN5d9BQA6VNmUnFwmLFR+Ruy6kIIIURQsy/Ac7uNg+D3TYwjwSZf99B21cWX\npR7WyKoLIfq6a4C3Wv0BGBdWlg5MObzvwbB9rf+MP8pr3XX4TxzwV+AJYALwe2Cmpmm9djQ00Z4Y\n/N2t1KMTWl3u0W0M18uw68ZwuXnFEi5KiP5uW7WXZ8KuHW8YFc2SC9PIibN0+Thzhtj5z9xkWqe9\n8ATgpmXVbCz3dNxQCCGE6ETXv4kGoJFn38u857eyjNBARUG0lZUv3cf8O57q0jGmPfkYBbffzIio\n6mDZnEAha//zHKffcaeh7ty517Gr4GEs/lAc2ppqE1VVxaSkDCV20l1Q/cvgvsRB1RR/9i5ZC65G\nCCGEeH2vk+pWuS3ibQp3jY3pwR71LmcMsjNnsJ2VrRJzP7SlgUXn2ztpJYTozTRNe5CWwYijyTnG\n47apr2man5bE3s8dy7F6g+mnXc7CNf9uCWilQJNSTaw+KLhft0KUnoSbumBZXvE2zhh7bg/0VggR\nCATIy8ujpKSE2NhYUlNTSUtLIyYmBkVpG7bpeOi6zk/W1RJolYh7WKyZv52ZiL2dxNtHc/GwKP4x\nM5HvraoNljX5dL71WSVfXpZOVqw8fhJCCHFsZArmUZx1098ZGZbvYoXiZO9nj3epvSMmBu20M/D6\nQ3/VURYvg5a0n1x7/oxZ6IQeOpmx8d5HrwKQOnkaFUXGpN/mmrcI+I2xKIUQQgw8AV3nXzuMuS1u\nHx1DnFW+6lsLX3Wx8pCbdWWy6kII0b9NUc8gRokObjebKg37DzGI6IDx83HfoV3BsLVCiMiprq7m\ngw8+4IsvvmDv3r1s2bKFzz//nNdee42XX36ZJUuWsGnTJvbv339CERjeyHeytsz4f/zP0xOIshz/\nwMgNuTH86fQEQ1mtR+d3X/faBWlCCCF6MXmacRRmq4Mr28l38U7hBur2f92lY8z+6U/4MmAM8zQ+\nqoKVt93dpq465gzMjgZDWcAVz86dqwCIn/od9FbXJgnpdRR/8kZXT0cIIUQ/9UmRi731vuC2RYHv\njJPcFuFmZNiZnWEzlD20paGD2kII0X8kR4dSeLiUWkO4KHfAzih/LWY99Pno9XvYX74non0UYiDz\n+/1s2rSJ9957j/Ly8nbruFwuioqK2Lx5M59++invvvsujY2N7dbtTJ0nwK821RnKFmTauSD76Dkt\njuae8bH8+BTjQOhb+U62VXs7aCGEEEK0TwYuuiA+6xSuzp1lzHdhNfPO4ofxuZ1dOkbuQ7+nxGn8\n8p7jKWDza6+2qXvlhTfiJzTzQcHEyrXrAEgeP5mK4lxDfUvje/h9chEghBAD2RNhqy2uHBHF0Bhz\nD/Wji9/DAAAgAElEQVSmd3vgVGMc9+UlbjaUy6oLIUT/Nm/GDaEE3IpOU1iSbt1qwqEnGcryirdF\nqntCDGilpaW8++67bN68+ZhWUdTU1LB48eJjHrz48+Z6ylsl5Lab4c/TEztpcWx+OjmOcYmh0FA6\n8NuwgRIhhBDiaGTgootGzLub+RjjhO+LtrLy5fu61D4payibRkzEHwgtu4y1ekh8b2HbuimDSUnV\nDWWWQALLlr8GQOL079L6WiY+tYGDH7cdABFCCDEwbKn0sLrUuNT/3vGy2qIjszLszJRVF0KIASY3\ncwxxSuh+pk24KH0QsX7jRKu8g5KgW4iTyePxsGrVKj744ANqa2vb7M/Ozmb8+PEMGjQIs7n9CSn1\n9fUsXrwYl8vV7v5wO6q9PL3LmJD7fybEMTy++3JQmE0Kv55qDBn1WbGbVaUyUUQIIUTXycDFMZh9\n06OMCs93YXaz55NHu9R+/p//yGpvtqFsYlQ5K25vGzLq8ku+g1cxXkzs3luO2+0kacwEKorHGvY5\n3O/j98qqCyGEGIj+GbbaYnaGjVNSbB3UFgAPTDauulha7GZjucRyF0L0bylxg4O/u5Q6Aq3CRXl0\nG6MDrpap0YdV1JVQ22gc4BBCdA+Xy8WiRYvYtWtXm31RUVGcc845nHfeecyYMYNLL72U2267jauu\nuoo5c+YwdOhQQ/36+nq2bNly1MELXdf58bpa/K3+n2fFmvnRpO6f8HJepp0zBxmvRx/cVIeu6x20\nEEIIIYxk4OIYmK0OrrrsZ4Z8FwBvH/iK6j1fdukY2X/5DYdcxplMc90FfPPmm4Yyq8XGBNV4MWIl\nmvfefxqAlFl3E/C1Wr2R3ETR4he7fC5CCCH6h4ONPt7dZwxb+P0JcR3UFkfMzrC1uZl+eKusuhBC\n9G8XzLkNRT98C6joNIWtutAtFuy6cWBXK9oSqe4JMaCsWbOm3VUWY8aM4Vvf+hbDhw9HUUL3/CaT\nieTkZEaPHs35559PTk6OoZ3L5WLLli2dho16q8DJmvCE3KcnEG3p/kdDiqLwm6nGz5NNFV4+PNC1\nlSFCCCGEDFwco9ihE/nW6NmGfBdOq5k3l/4bT1PNUdunZuewMXtCm5BRcW+/06buWbO/hc9sjANZ\nW2ultHQvCSNVKkonGPbFBD7E23TsibmEEEL0XU/vajLMmhudYOHcTHvPdaiPUBSFn042DvB8UuQi\nr05WLwoh+q8hqZnEm1qFi1LahouKCxjDu+wq+joifRNiICkoKCA/P99QFh8fz0UXXcTs2bOx2zu/\nljOZTJx99tntDl50lPOi3hPglxuNzxfOHWrnwmzH8Z1EF5ye3vb4v/uqHl9AVl0IIYQ4Ohm4OA7D\n536X88zGmQPFUVaWvPTDLrWf/9c/scaXZSibFFXGijvuaVP3nNlzCBBa4WHGyvtL3gMg9ax78HtD\nAyDRiU4OfvhMl89DCCFE39bgDfDfPcawgt8bH4up1ew80bGzBts5LdVqKPv3jqYOagshRP8wKHl4\n8He3Uoef0Oxrr25lTMBnqF9YuhuXpzli/ROiv2tubmbVqlWGsuTkZK666iqGDBnS5eN0NHhxJOdF\n+ODFX7Y0UNYqIbfNBA+dkWhY1XEy/GpKPKZWL7Gnzsere+UzRQghxNHJwMVxmnHj3xnXbLyo3+iA\nr9/6WZfaD/7tLyh1GeNIznEWsPVd48qL3Nxp2KPCHqJ4E1i//gPic0ZQWT7FsCshehmuKolDK4QQ\nA8FLe5qp94RmrKU6TFw7MroHe9S3KIrSJon5a3ubqXL5O2ghhBB93yVz78CkH07yq7RN0q2bHVj0\nqOC2P+BnjyTpFqJb6LrOqlWrcLtDSapNJhNz587FYjn25NhHBi+GDx9uKK+vr+fjjz/G52t5ZlHr\nDvDc7rYJuUd0Y0LujoxJtHL9KOP16Z831+P0yaoLIYQQnZOBi+NkMpu5/No/kuoyDl58UH+Qko1v\nHbV9Ru5oNmRPNISMirO5iXn9zTZ1r77sDnyE4kAqKHy1bS9en4eMBd/H4wxdbNhjvJQs+dfxnJIQ\nQog+xBfQeXKncSbdnWNiiLLIaotjcWlOFJkx5uC206/zvCazAIUQ/VdiXBKJ5tCgbdtwUenE+43h\nonZLuCghukVeXh779+83lE2ZMoWUlJTjPqbJZGL+/PmkpqYaymtra9m6tWXQ8c38ZpytYosOjjZx\n/yndn5C7Iz+bHIc9dLlFSXOAZ3ZJmGshhBCdk4GLExCVMoxrT78aqz+03NJnNvHG1wtpLs/vpGWL\n+X/9E2u8xpBRp0SVsfxOY8io2LgkhmUZLyqseizvvf800ekZ1NTPNuxLSVlH48EDx3o6Qggh+pAP\n97s40BhaGWA3w11jYjppIdpjNSl8d6zx7+2ZXY24/TILUAjRf2UOnhj83a3U4yc0+9unWxkb9hG4\n5+BWfH7jhC0hxLFpbGxk7dq1hrL09HQmTZp0wsc2mUyMGzeuzeDFli1baGhoaBNa9DY15qQk5O5I\nZqyFb48xPtN4ZGsDte5ABy2EEEIIGbg4YRmnXcFlSTmGsmq7hffe/hV+n6f9Rq0M/t0vKAsLGTW3\nuYBv3jSuvLjw/NvxmuqNr1Nlory0kMyL78HZEEreZbEFKF/2xDGeiRBCiL5C13We2NFgKLt2ZDRp\nUeYOWojO3Dw6hthWK1XKnAHeKZBVF0KI/uvyubdh1W0tGwo0tQkXFY1JD+UAcnudFJbtjmQXhehX\ndF3niy++wOMJPSMwm83MmTMHk6l7HsuYTCZUVcXhCCXD9vv9LPlyHTtrQgOPZgVuzo38ZJf7J8US\nbw1db9V6dB7b1tBJCyGEEAOdDFx0g1Ou/B3T3cbQHLujLax6+b6jts3IHc36zPEEdGPIqMS338LV\nZJwVMW/GmW0SdS/65C1scfE0+i8w1E0bvI0abcfxnI4QQohebkO5h00VXkNZeK4G0XWJdhM3jTbG\nXv7njkZ0XVZdCCH6J6vVSrItMbjdJlxUIJ1Ef7yhbNcBCRclxPHavXs3xcXFhrLTTz+dxMTEDloc\nH6vVyrRp0wxltcWFjAhUBbcXZDkYEhP5yS7JDjP3TYwzlD25s5GyZsktJoQQon0ycNFNFtz8KFlO\n40OkpXoTeZ88dtS28//2EKs9xpBR46Mq2PC9HxnKxo6dgS3KGAdS9ySwYcNiMi+6nYaq0EMrk1mn\ndp3kuhBCiP4oPLnieZl21ERrB7VFV9w9LhZTqzkIO2p8fHHI3XEDIYTo46aecjEcHp/1KA2GnHp+\n3YKKMWnv7gObZUBXiONQX1/PunXrDGWDBw9m/PjxJ+X1Ro8e3SZk1OWBnZj0lrBMt43uudCid4+L\nYVBU6DGUyw8v5ckqVyGEEO2TgYtuYo1O4lvn/Q/R3tBsAV1ReKvoKyp3Ljtq+6y//JYSl3H2wTxf\nAWv/YQz5dNUlt7VJ1L1p6x4wm/HGXGmom56VT/lXq4/ndIQQQvRSVS4/i/Y7DWV3j5PVFicqJ87C\nxdkOQ9k/d0jSSCFE/3XGhDnEKIcfYCrQHB4uyhSLooduF+ubqympKoxgD4Xo+3RdZ+XKlfh8oVBN\nVquVs846C0VROml5/EwmEzNmzDCUDaaBM/QDZMaYOXuovYOWJ1+M1dRm1cWLe5oIyKCoEEKIdsjA\nRTdKGnkG1ww/A6XVl67TYuL1lc/iqj3UadvU7By+yj0NXyD0TxJl8THyy2U019YEy+ITUskaagxn\nYdVjWfjBkwxdcC21pcmGfa6dzxIISMIrIYToL17d24y71Yr6nDgzc4f03A1ofxIebuvTg260Wm8H\ntYUQou9LjR0c/D08XFSpP52EgDFc1O6izRHplxD9xcGDByktLTWUTZ8+nfj4+A5adI9BgwYxatQo\nQ9mCQB63DTdjNp2cAZOuun5UNI5WkaoONPpZUSKrXIUQQrQlAxfdbOQ532eBOcFQVhZl5f3XfkzA\n33nsxnm//w0r/TmGshFR1Xxz7/8ayi6+8M42iborKxWqqg9iyrzFUJ4y9BClXyw5xrMQQgjRG+m6\nzn81Y5io29UYTCdpxt5Ac3q6jalpxpBb/5JVF0KIfuzieXcGV1V4lEa8hFb0BTCjYjPUlzwXQhyb\nbdu2GbaHDh3KmDFjIvLa1hGTcREaIYjGy8TGXRF57c4k2U1clhNlKAu/vhVCCCFABi5OijNvfIxT\nnMZBim1RZla//D9HbTvxX39jn9OYoGuuUsiKB39rLJs+DZ3QSgozNhZ+9CaDzzqfyuIhhrr6oZeO\nOmgihBCi9/vikIf8+tDnudUEN4yK7qSFOBaKovD98cbwBa/nN1Ppku9QIUT/lJEyhETz4c+9dsJF\nocQH82AAlNUUUdNQEbkOCtGHVVVVtUnIPXXq1JMWIircy/t1lpqMqy4O7NWorKzsoEXk3BqWZ+Oj\nAy7KnXK9JYQQwkgGLk4Ck9nMJTf+jcFhybo/CzQcNVl3dGIS2hlzcPtCMyOs5gCn7txETVHoomfc\nhLOwOBoMbXVPAmvWLCR6/HcM5YmDajj48WvHezpCCCF6ifDZaJcMiyItytxBbXE8Lh7mICs29Hfq\n9rdNhi6EEP1J1uCJwd/DBy7K/Okk6MYwehIuSoiu2b59u2F70KBBpKenR+S1a90BFhY6+VLJoQLj\nJJc1a9ag93BOiTMH2RidYAlu+3R4VZJ0CyGECCMDFyeJPX4Q1519z3El6551/49YbhphKBsaVU/B\nT/7PUHb1pbe0SdS9ZUchceMmUV5knFnh8LyDt0nCXQghRF9V7vTzQVhS7tvVmA5qi+NlMSltkp0/\nu6sJl0+SRgoh+qfL596GVW8JCeWlKSxclAk17KGnhIsS4uiam5vZu3evoWzSpEkRe/3X9jbj8oNf\nMbPINM6wr6ysjPz8/Ij1pT2KonBr2HXsC5KkWwghRBgZuDiJkkfP5prh048rWffUJx9jtzPVUDbL\ncoCl9z8Q3I5PSCcny/hwxUoMby98iqQZ9+L3hZagxiQ6Kfrg3ydyOkIIIXrQK3nNtH52nptgYVaG\nreMG4rjdnBtNnDX0HVrhCvBWgcwCFEL0T1arlWTb4VC1CjSbjKGgfCQbtveXaTS7ZUKUEJ3ZsWMH\ngUAotHN8fDzZ2dkReW1d13lhT2i1qGZKx5toDCe9YcMG/D0cTvr6kVHYWj2R2tfg58tDkqRbCCFE\niAxcnGQjz/lBu8m6F73aebJuR0wMpRdfQpM39FDKbNKZUbydgg3rg2UXnH87PnOdoW1TQxQVNFJZ\nNsVQnhy/gqYSY4xNIYQQvV+gnaTct6kxEYuRPNDE20zcEhZ7+ZldTT0eVkEIIU6WaadcGsxl0WQq\nN+yr9KeS3mrVRUAPsOfgN5HsnhB9itfrZdcuYxLsCRMmYDJF5vHLunIPu2t9wW2zAgvOmmF4/aam\nJvbt2xeR/nQk2WHm0jZJumWiiBBCiBAZuIiA9pJ1b48288WL3++03dRbbmW5Y6ShLM3RhPdhY56M\nC+adQ4DQhYkJM59/8QWDL/wh7iZrsNzq8FP2+d+P9zSEEEL0kOUlbvY3hr5H7GZJyn2yfWdsDK2H\nhbZWe/mq0tthfSGE6MumT5hNjNIyYOtTXLiVesP+4RgnYu0+IHkuhOhIXl4ebndo5YDdbmf06NER\ne/3nwya7XJDlYOSgJMaMGWMo37ZtW49PyghP0v3hASeVLknSLYQQooUMXERAR8m6lyrN7Hz/j522\nnfuff7PZmWEomxJ1iBW33xPczhk+mbgE45JKSyCez9ctpM69wFCeNmQrVdslLq0QQvQlz4clh748\nJ4oku3yFn0zD4iycl+UwlD27S0KjCCH6r7TYwcHfmxTjqouGwCBo9YAzr3gbPr8M5goRTtd1tm3b\nZigbM2YMVqu1gxbdq84LiwrDcqKNaRkcGD9+vKG8srKSsrKyiPSrI7MybIyMNwe3vQF4TZJ0CyGE\nOEyeekTIkWTdMV7j7IF3KnZRsuntTtsq37+HKrdxZu18917WPfVkcPtbV34Pr2J8sHWwxEXc7Itp\nqArlwTCZoHHzv473NIQQQkTYoWY/Hxe5DGWSlDsy7hpj/Ht+r9BJlcwCFEL0UxfNuxNFb3mA2Gyq\nRCcUn7/RH0u2OXRP4fG5KDi0M+J9FKK3O3DgAPX1oRVLJpOpzYDBybS43IK71aVKdqyZeUPsACQm\nJpKVlWWov3379oj1rT2KonBb2KqL/+6R8JxCCCFayMBFBCWPns11o+dgCoS+hD1mE6999R6Nxds6\nbDfqrDmszhiPPxAKWhFt9TJi6Sc019YAYLXYOP2U0eiEjm3BzntL3sKfeIPheKlDD1K8/MPuOi0h\nhBAn0Ut7mvC3uncbm2hherok5Y6Es4faGRYbmgXo9rckSRdCiP4oI2UIiYcHJwKKD6dSbdifrqcY\ntiVclBBtha+2GDFiBDExkZtwsrjcYti+dXQMplY50SZOnGjYX1hYSENDQ0T61pHrc6OxtnoylV/v\nZ1Wpp+c6JIQQoteQgYsIy5nzbS6JGWwoq7VbeH3Rn/A213TYbv5jf+VL3zBD2YioGrZ/7/7g9tRp\nF2KyGxN1654EDsaZqSo2hpsylb+I3yvLu4UQojfzB3Re3GN8UH67JOWOGJOicGfYqovndjcRkFmA\nQoh+KnvIpODv4Um6a30ZmFt9/O0u2kxADyCEaFFRUcGhQ4cMZZMmTeqgdvcrdinsaQo94lGAG3ON\nkRuGDBlCUlJScFvXdXbu7NnVU6kOMxdnG5N0v7inqYPaQgghBhIZuOgBU699iDM9xr/6/dFWFr94\nHwF/xyEoRv39zxQ6Ew1lc8yFLPt/DwS3r770ZnyE8l0oKHy1fR+2sXfR+r4iPq2eog+eO8EzEUII\ncTJ9VuziYFPoeyHKrHDNSEnKHUk35kZjDy26YH+jn6XF7o4bCCFEH3bZnFux6i1hZZxKDX5CE508\nARvDLfHB7QZnLQcr8iPeRyF6q/DVFkOGDCElJaWD2t1vZZXZsH3GIBsZ0cYyRVGYMGGCoWz37t14\ne3hS422q8fp2UaGTagnPKYQQA54MXPSQ8279F7nNxouDrxwK6169v4MWkJiegTZzPk5fKLGX2aRz\nZtF2Cjasb6mTmEF2pnG2glWP4fO9GykvHmcoj7N8hKvauARcCCFE7xGelPuqEVEkSlLuiEpxmLki\nx/i9+uxumQUohOifrFYrKbbDE6UUnWZThWF/XCDdsL1934ZIdU2IXq2xsZGCggJDWXhYppNtRdjA\nxcXDotqtN2rUKBwOR3Db4/GwZ8+ek9q3o5k92M7wuFD/PQF4Ld/ZSQshhBADgTz96CEWexRXX/07\nUl0+Q/kSXw17lvytw3Yz7/sfltlGGsrSHE14H34suH3RBXfiMxlDRjU1RNGozsPrDl0MOGI9lHz0\njxM5DSGEECdJUaOPz8Jm9ktS7p5x19hYw/anRS72N/g6qC2EEH3brOnXgt4SkrBJMYaLqvakE62E\nbiG3798g4aKEAHbs2GFIKN1eIuyTqcLpZ0u98fHORdmOdutaLBbGjh1rKNu+fXuPJsQ2KQq3hCXp\nfkGTJN1CCDHQycBFD4pOH8kNM2/G4Qtd7OuKwpsHt1C2+f0O2815/kk2O405K6ZEHWLF7XcHtxfM\nO5sAoYcqJsys2p5HZfUMQ7vUtHXU5ffs7AohhBBtvba3mUCre7VJyVZOS7V23ECcNFNSrZySEvq7\n14H/arLqQgjRP50yagoJppYBW4/SiJdQriUdEznmUHz8huZaisr3RryPQvQmPp+P3bt3G8omTJgQ\n0ZxkHxe50Am93oRkKzlxlg7rjxs3DpMp9Diovr6eAwcOnNQ+Hs0No6KxtPor21PnY3Ol5OUUQoiB\nTAYueljaxPO5JmsKSquZBG6LiZc3vEF90TcdtlO+fw9VbmMcyLM9e1n1yKMAjBhxKgmJHsN+qx7H\nV7YYmutCMy/MVp2a1Y90x6kIIYToJrqu8+peY1LuW0ZHS1LuHqK0k6T7xT3NuP0yC1AI0T8NTVNb\nflHaJuk2+wYZtrftWx+pbgnRKxUVFeHxhO69HQ4Hubm5Ee3Dh/uNYZUu7mC1xRHR0dGMGDHCULZ9\n+/Zu79exGBRtZkGWsd8LCyVclBBCDGQ9MnChquoFqqquVFW1QVXVGlVVl6mqOr8n+tIb5C74IRfY\nkg1ltXYLr3/4EJ6GynbbjDprDquGTMAfCD3EirL4GL9uBZUHCgG4+op78SoNxuPW2jkYmGMoS8ss\npGTFR91wJkIIIbrDmjIPhQ2hhIR2M1w9QpJy96SrhkcRbwt951a5A7wvN9NCiH7qynO/jVW3AdAU\nlueizptMiskW3N6xfyOBgISLEgNXfr4xSf3IkSOxWDpe7dDd6j0BVpQYw4t2lN+itfAk3SUlJVRV\nVXVr347VlcON/X6v0CnhooQQYgCL+MCFqqp3AEeekt8HPAiMAJaoqjo30v3pLaZf9zemu40zaYui\nrCx8+Yf4fZ5225z9yF9Y6c8xlGVF1VHyk18CLbEr554xlQChh18mLKyr9VNZnGpoZyp/Hp/L1Q1n\nIoQQ4kSFr7a4KFuScve0GKuJG0YZB4+ekyTdQoh+ym51kGJvCQnlV9y4lFrD/qGmlODvjc469pdL\n6FkxMHk8njYhlkaOHNlB7ZNjabELT6uxw5w4M+OTjj5wkpaWRkaGMQR1T6+6WJDlwNEqx3hRo5+v\nJVyUEEIMWBF9CqKqagbwOPA5ME/TtP9omvZ3YD5QA1wUyf70JiazmfNv+ze5zcYv5W1RZla88P0O\n20341yPscaYYymbYi1h+170AjJtwFtGxxhmhlkACX9sn0TqPXlxqA0WL/n2CZyGEEOJENXoDLNxn\n/NwOf2AuekZ4uKh15R62VcvNtBCif5p7xg2hJN1h4aLcnsHQahb09sINEe2bEL1FYWEhfn9oomBc\nXBzp6ekR7cOH+40TEC/OjupyeNHwVRf5+fk4nT23ojTWauLcTAkXJYQQokWkp2/eCsQAD2qaFnxs\nrmlagaZpgzRN+3GE+9OrWOxRfOvaPzHIaXwIssLsZvNbP2+3TXRiEmVXXEW9x24on9+cx7qnngTg\nmivvxqsYZ4WW1cWQXzLWUJYU9zlNB4tO9DSEEEKcgPcLnTT5Qg+DBkebmDfE3kkLESm5CVbmDDb+\nW/xnd2MP9UYIIU6u8SMmB5N0NytVhlXcTn802ZbQYO6Owo34A/42xxCiv2svTFQkc5K5/TqfHgwb\nuBjWeX6L1oYNG0ZsbGxw2+/3s2vXrm7r3/G4IscYLmqhhIsSQogBK9IDF+cCDcBaAFVVzaqqytOY\nVqJShnHD2fcQ6zFe+C9qKGLf8ifbbXPq9TewPGksgVbf5TFWDyOXLqG2vBS7PYozTxuLTmiJhRkb\na32DcTeHlpBaHX7Kl/6te09ICCHEMXklLEzUdSOjMZskKXdvEb7q4s18J3Ueie0uhOifsjLGA6Ar\nfpyKMfZ9EmnB35tc9ewv0yLaNyF6mtPppLi42FAW6TBRXxxy0+ANPQhItuqcnm7rpIWRyWRqs+pi\n165dPZq35jwJFyWEEOKwyGWMajEGyAcmq6r6KDATMKuqugP4vaZpr3fXC+Xl5XXXoSJPyeD8IVNZ\nWPYVPnPL2JLfpPDa3lVcFojGln1mmybZP7qXL3/1e+bY9gfLhkfV8uX/PEDs735BbNwIzPZvCLiT\ngvvN/iS+rJ7EOdFfB8vSs3az7YO3cIyZfBJPsOf06feFiAh5j4ijOZnvkYMuhdWlxllmM6wV5OWV\nd9BCRFquDmk2BxWelu/nJp/OE2v3c82Qlv3yGSLC5ebm9nQXhDhuV86/iz0vb8ajuGkylRPjD4XA\naXBnYLMcwEPLQ9Pt+zYwYvC4nuqqEBG3b98+w0qAxMREkpKSOmnR/T7cbwyjNCfFh+kYV3yoqsqm\nTZvw+XwANDc3U1JSQmZmZrf181jEWk2cl+ng/VYhsN7b52RKWtcHZIQQQvQPkV5xkQwkAouB1cDl\nwA8Ol72mquqdEe5PrxWtXsT5UUMNZU6rmU/zPsFfnd9uG/MPv0+B03ihNNO2n/0PPw7A9NPOw4dx\nJm+JewglZYmGsqSGd9B9stRbCCEi7aMy43yCiXF+cqJlaXxvYlHgigyfoWxhqQWJYCBEz1JV1aaq\n6l9UVQ2oqrqigzpRqqr+VlXVPaqqulVVrVBV9Q1VVUcfw+uMU1X17cNt3YeP9StVVfvlEzWr1UqK\nIxkAl1KLD3dwn0+3MtySENzesX+ThIsSA0pPh4nyB3Q+OmAMEzU35dj/D9psNoYPH24o6+mJGJdL\nuCghhBBEfsWFDcgBbtQ07dUjhaqqLgZ2AX9UVfW/mqad8BVvv5jdlvtn3C/cy2d6KH52tcPCF1+/\nyK03Poo9flCbJhvOv5j0z98g1uoBwKTA2fV7+GrtGqbecit1dfvYsbMChZYLKgt2ljsncyMrgsdI\nyqjFt3slOVd89+SeXwQdufDqF+8LcVLIe0Qczcl+jwR0nSVbyqBVDPE7J6aQmxvTcSPRI+4b4ufZ\notJgiMa8ZhM7G02MjwvIZ4gQPUBVVRV4FRgNtPvUUFVVBVgEnAM8D/wGGAL8P2Ctqqqna5rW/uyg\n0DHGA2sAJ/AwcBCYCzwInEbLpKx+5+yZt/Dy0r+AotNkKichkBXcZ/UPAWoBaHY3sK90F6OGTOjg\nSEL0H42NjZSWlhrKIh0makOFhwpXKKRTjFlnWsLxhXjKzc01DFbs27ePmTNnYrP1zJjseVkOoswK\nTn/LxdbBJj9fVXqZKqsuhBBiQIn0iotGwAUYQkJpmrYPWA6kA2PbaTdgzbrpcaa4jDMLiqKsvPPy\n/fi9rjb1T7/jTpbFqoaZn3E2N9kfLqS2vJSZM6/AZKsztFH8KXxZbPxrjzN/iLNSQpMIIUSkrCr1\nUNQYGrRwmOGK4VGdtBA9ZWiMmfMyjYkv3yuN9FwQIQSAqqpJwNeAGZjaSdXraMm397CmaXdqmtAa\nbNEAACAASURBVPaKpml/BS4AkoC/duHlHgFigXM1TXvo8DG+DTwOXKaq6qUnci69lZo9jkRTHABN\npjLDvnpPMmnmUMrC7fs2RLRvQvSUgoICw3ZaWhoJCQkd1D45PtxvfB4wK9mP9Tif8AwZMoSYmNBk\nGb/fT2Fh4Qn07sTEWk2cl2VMh7pwn7OD2kIIIfqrSA9cFHbymkeeksdHpit9g8ls5uLb/k1uszEZ\n1a5oC0v+czcBf9vFKfOf/gdrPNmGshFRNRT+z08AuOby2/Fh/NIvdI2iqjn0EMYR6+XQR49012kI\nIYQ4ilfymgzblwyLIsEW6a9p0VW3jo42bH9aYabJ10FlIcTJZANeBM7QNK2z7NC3HP75eOtCTdO+\npmUVxcWqqia2aXWYqqqDaRn4WKZp2raw3U8c/nnzsXS8L8keMgkAn+LCpdQa9g1WUoO/7zywCX9A\nPgxF/9demKhI0nW9TX6L4wkTdYSiKG1Wje7Zs+e4j9cdJFyUEEKISD8RWUvLzUV7WduGHf55MHLd\n6Rssjhi+dd1DDHYaBy/W2XXWvHJfu22y//on9juN916z7AdYdte9xCekMmlcJjqhL30zNj4pP91Q\nP23IFiq/Xt9NZyGEEKIj9Z4A7xcaZ83dmBvdQW3RG5yb6WBwdOgyyhlQ+KTS3IM9EmJg0jStTNO0\nezRNa7sU2eh0oEjTtPbuNdYDVlrCPXVkKi1hqNa204e9QDUwvWu97nsun3sbdlpmPzeajOFxmtxD\nMR++rXC6mygo2Rnp7gkRUXV1dVRWVhrKRowYEdE+bK/xsb/VSl27GWYknVjE7fCBi0OHDtHQ0HBC\nxzwR52W2hIs64mCTn00V3k5aCCGE6G8iHdfgv8DdwK9VVb1G0zQdQFXVScBsYKumaQci3Kc+ISo5\nixsvuJ9nPnmUOnvon+2TQAPx7z3IpCseNNRPyhrKhnMvImX5W8F8FwDnNO/hi0ceZdb9P2J3wcME\nXK2Ws/rT+LJsJLMHtcweMZnAtftx/JP+i9liPannJ4QQA9nCQmcwhi9AZoyZ2Rn2TlqInmYxKdyY\nG8PD34Ru6BeWWnigB/skhGifqqpxQDLQ0YqMI/cfI4BlHdTJOfyzo0lWB4DJqqpaNE3rliUHPZ0c\nN1ySLYlSTynNShV+vJhpuT/wBmyMsCeQ52sJR7t66+fglFCHJ0tve18MROEhlBITEykpKYloH17c\nbwVC9+jT4v1EH54/cSLvkbi4OMNgxbp168jJyTnu452oGYk2llaFnn88v7mExBEyeHGi5HNEdEbe\nHyJcT+ZxjOiKC03T1gP/AK4G3ldV9WZVVX9BS34LH9D+8gEBQELOVG6a9i0cPmPCrXdrCti34qk2\n9U//9rdZmjCWgB6apRBt9TJx3XKKd+3guivvxEuzoU1h43iqPaGQUUkZVRQteqabz0QIIURrr+01\nfhZfNzIas6nd/LKiF7k5N9qQBXhXo5lvqjwd1hdC9Ji4wz+bO9jfFFbvZB2jT5s46gIU3RRM0t2a\n3T84+HtRlYY/cGIzv4XorXRdp7zc+P5PT0+PeD9WVBlXec5L6Z4QbRkZGYbtsrKyHg3PdE6a8bNk\naZWZgESLEkKIAaMnMkneB+ykZeXF04AbWA08qGnaxh7oT5+ScdrlXF9bwouF6/AffqjlNym8tncV\ndyYOYdDkSwz1z/7331l5w23MsxYGy4ZG1bPpwT8w9I1XmXrKKLZ8cxDl8BiWGStLSqZzXfZKTIeH\ntRIcH9F08BJiMrMico5CCDGQ5Nf5WFtmfNh9g4SJ6hOGxVmYP9TO0mJ3sOzFPc387UxbD/ZKCNFf\n9OTstvbkksumXe9So9fRaColPjA0uK/ek0qK3UpVwIvH70KJdpGbNbkHe9v/HJkB29veFwNNVVUV\nzc2h8UtFUZg+fToOh6OTVt2rsMFHXnNZcNukwK3ThlFT1JIw/ETeI1lZWeTn5xMItEyWdDqdJCQk\nMGjQoBPr9HEakhPgt3mlwZXJZW4T9YnDmJYu11rHQz5HRGfk/SF6o4hn/dQ0Tdc07UlN0yZrmhal\naVqipmkXyaBF142Y/z2uSBxmKHNaTLy0/nVqC9rmpJj4zD/RnKmGsqmOEr649TucfvpF2KIbjQ38\nqayuDCUXs0X5KF/6l+47ASGEEEHhqy3OHGRjRHxPzCsQx+OW0TGG7bfym2nyBjqoLYToIfWHf8Z0\nsD82rN6JHKPnAsJHwJiRMwHwKU5cSp1h3xBTWvD37YUbItovISJl7969hu3MzMyIDloAbZJynznI\nRqqje/JsORwOsrOzDWU9GTYmxmpiQZbx7/e9wo4WvgkhhOhvIj5wIbrHKVf+jnOVWENZnd3CS5/+\nnaYy48WUIyaGmptvpdptjDV7jj+f5T//FddddQ9epcmwb3/DBCpcoRm/6Vl5lKz4qJvPQgjRXwT8\nARoONVCyqZg9H+zmqyc3sOqPK1nz11VseHwtXz+9kW9e3MyON7ahLdpFwdJ8avfXog/wtd7+gN5m\n4OKGUbLaoi+5MNtBelTocqreq7Ow0NlJCyFEpGma1ghUAJkdVDkyI6izp3MFh392dox93ZXfore6\ncNa1xNDyPRWepNvZKkn3rgNf4/VJ6DzRS/m8mHdswrJsEeZNX2LanwfNjUdtpus6BQUFhrKRI0d2\nUPvk+fSg27B9cXb35pQJn22dn5+Pz9dzH21XDDee3/uFLgI9GL5KCCFE5MiUzj5s1k2PU//sHaxv\nlb+13GHltXd+xc03PYY9PhRrc8Ill7Bs5SouLNuIxdQyE9Rm9nPm3k0UfrmKGVPGs2FTQTBklAkL\nn5WeznXZK4Iho8yVz+FtOgtrjHHARAgxsHidXko2FlO0aj+HNh+iobiOxtJGdP+x30BYo62kqKmk\njkkjdUwqKWPSSB2bhiMhsjPXesqqUg/FzaHYvdEWhcuHS0LTvsRqUrhhVDSPbQs98HhBa+bG3I4m\nZQshesga4DJVVbM1TTsQtm824AS+7qT9Blpy8s0M36Gq6gQgEfigm/raq2Uk5ZBfsxOnUkUAH6bD\nt5SegJ3h9nj2+upxe53sLtrMxOHTe7i3QhzmdmLeugHLV19i+WYtSnNTmyp6TByBtMHoaYMJDM7G\nO/M89IxQuOTy8nIaG0Pf92azmWHDhrU5zsnU5A2wrsw4cHF+VvdeN2dlZeFwOHC5XAB4PB4OHDjA\niBEjuvV1uurcTDvRFoVmX8u9xsEmP5sqPJyebj9KSyGEEH2drLjow0xmMxfc8RTjm42zH/ZHW3n7\n5R/hcxkvxuY//BCfY7zYSHU0E/vM04wePpWo2LCLN38KyyvU4GZschNFCx/r3pMQQvR6AX+A0m8O\nsfGf63nn+jd5atITLLz5bb56aiMlGw7SUNxwXIMWAN5mL6WbD7H9ta2s+PUy3rn2DZ465QnevOo1\nvn56I3UHarv5bHqXNwuMqy0uHuYgzipfzX1NeLioDRUedtV4e6g3QogOPHf4549aF6qqOgeYArx+\neGXGkfKRqqqOPrKtaVol8D4wV1XVU8OO/b+Hfz7b7b3uha457wdYdRu6EmiTpDsqEErSvSV/daS7\nJoSRsxnLqiU4Hvs5MfdeRtQTv8a69vN2By0AlKYGzIV7sGxcie39l4j+2a3YX3gUpb4GaBsmKjs7\nG5stsrkWVpd68LSKSDk8zszwbg4xajab26wk6clwUdEWEwsyjYMzsrpVCCEGBllx0ceZrQ6uvPUJ\nnC/cS0G0NVi+O9rCh/+9h0u//Twmcyje5ayXnmXLNdcxOSq0tHtMVCUr7/kh1/z3SZ576UmsemhF\nxaHGsRTGlZIT3RLDNjVtNTW7tpE0dmIEzk4I0ZOq9lTyzQubyftQw1XritwL63BoUzGHNhXz5R9W\nkjoujZELchm5IJfUMakoihK5vpxETp/O+2E3XdeNlDBRfdGIeAtTE/xsqgt9376wp4k/T0/swV4J\nMTCoqjoOGBdWnKaq6tWttj/SNO0DVVXfBX6oqmo8sIyW8E7/DzgI/F/YMZYCGUDrp2U/Bs4CPlFV\n9WGgBDgfuBF4TtO0L7rptHq16KhoUh0pHHIfotFUSlxgSHBfnTuNJHs+NQEfe4u30dBcS1y0fBaK\nyDPv2IT9yT9gOjzocDyUQADrskVY1nyK+4Lr2NdozCPRE2GilpUYr8nnDw1bbaHrmAp2YyopBJ8P\nAn4Uvx/8fgi0/NTjE/GdOhPiO/6/mZuby44dO4LbRUVFOJ1OoqJ6ZmXw5cOjeK/VdfOifS7+ME3v\nN/cFQggh2icDF/2ALSaJ6679E8+/+TMORYUGL75yKMT+927OufMZY/2f/JiSvz7IEEcod+BZ1v18\n+L3/x9z/vZ4vV28LLvk2YWZV6XSG5HyGzaRjtujUfvUwCerzmEwyK1iI/sbv9VPw6V6+eXEzxesO\nHlPbqOQoYgfHETc0nrjBcUSnx6D7dXxuH36XD5/bF/y9qbyJyt2VuOuOPiBSubOCyp0VrH90DYnD\nk5h082TGXzsRW2xkZ7h1tyVFThq8oZUq6VEmzhosS977qisyfIaBi9f3NvPglAQcFrmhFuIkuwb4\ndVjZOOCtVtvDgULgeuCnwE3AzUAN8CHwc03TSjkKTdMKVFWdAfwB+AkQB+TTMvgxoJYlnz/nLv77\nyR/wKs24lXrsenxwX6YpjZrAIQJ6gK371jFz/Pk92FMx4AQCWD98Bdu7/0HpJA9CIC4R/7hTUZob\nMVWUolSWovjaXy2puJzUfrYI5+QLgmVWq5WsrKx2659My4qNYaLmDzl87ejzkbRtHenrPyO6NDwa\nXlu6+VF8U2fjm3cp/jGTIWwAIDU1lcTERGprW1Y/67rO3r17mTixZyYwhoeLKm72802Vl8mpfft+\nQAghROdk4KKfiEoZxk0X/pjnljxMtT30z7rS7CHmlR9y5o2he6nsqVNYNX0+CZs+IsbacnGmKHCu\nS2PpWytInphIbVXoGCY9jo8PncplQ1vC/qYMKePg4pfIvuTWCJ2dEOJkayxrZPtrW9n+6laayo6e\nnDA+M57s2TlkzcombVw6sYPjsLYaOO0KXddpKmukclcFlbsrqNxdSeXOcqr2VHXYpnZfDV/8djnr\nHl3NhOsnMfn204gbEt9h/d7szXzjaourhkdhMclD7r5qboqfBItOna/l37DWo/P+fifXyCoaIU4q\nTdMeBB7sYl0P8NvDf45WN6eD8jxaBksGtBFDRpFsjqcqUEujqQy7P/Rd7HIPxWQ6RECBLXtXy8CF\niJymBhxP/QHLN+va3R1IHYTvtNn4pswmMHoCmFqtoAgEUGorUSpKMRXvw/bRG5gqSoK7C5KHGo6V\nlRiPxRLZxylFjT721IXCRJsVOCvBi/WjRVg/e4ec6oouH0vx+7CuX451/XICgzLxzr0Y36wF6PFJ\nLfsVhdzcXDZu3Bhsk5eX12MDF9EWE/OH2PnwQGjS00dFLhm4EEKIfk4GLvqR+GGncsvsO3h29fM0\nWkMXYR95a4h65xdMvur3wbJZ9/+Ipd/dx8XObZiUllkLDouPaTvXsm/GfXxRuxWLPyFYv9GVw9a6\nEiYltExGi9HfoansPGIGheLYCiH6nuaqZtY9spodr28j4At0WM+e4CBrZjbZs4aRPXsYCdknHvZB\nURRiM+KIzYgjZ14o/079wTryP91L/id5lGwoRg+0nS3nafDw9dOb2PKfr8m9SOW0b08lfeKgE+5T\npFS5/Hx20Lja5Fp5wN2n2UxwUbqPV0tCA3gv7GmSgQshRL81cdy5rNj+Fs1KBUkMD67YdgccDLfH\nke9roLTmAIeqDzA4ObuHeyv6O1PhHhxP/BpTxSFDua4oeM+9Ct+sBQSyR7VZWRA6gAk9OR09OZ2A\nOgnfWRdiXbYI28IXUZrq2Rc2cDFq/RLMI4binxS5BPTLS0KrLbJdFfy5+jMyHliG4jqxfA+msoPY\n33gS29vP4ps2B88130VPSW8zcFFVVUV1dTXJyckn9HrH64Jsh2HgYskBF/93at+cwCSEEKJrZOCi\nn0kZdzY3NVTy/LYPcVtCoZzeqz+AffFDjL3ogWDZ/KceZ/kNd3C2tSBYlu5oouqZZ7jwj7/g4+Vf\nYqZl6amCwtbKKeREf0a81YMj1kP5kj8x/NbHI3dyQohu43P7+Ob5r9nwxDo8DZ4O6w09I5NJN09m\n5IJczFZzh/W6U3xmAqfeMYVT75hCc1UzBZ/lk/9JHkWr9uP3+A11A74A2qJdaIt2kXlmFjN/ehYZ\nk3v/gOrCQie+VuMxoxMsnJJybCtWRO9zeYZx4GJ1qYe9dV5GJci/rRCi/zl76sVs2v4RjUoTTaYK\n4lol5o4ODAZawtJuyV8tAxfipLKsXIz9pcdQvMZQT3psPK57foV/wtRjOl7VnkpqCmpQlFNQLvoj\nga9XUt46RKmuk1O+H8djP8f93f/DN31+d5zGUR0JE3Vt2Rqe1Z4mKtB+aCtdUfBPmIqelAYmM7rZ\nDGZzcIWJZfMaTGVtQ8Iqfh/WdUsx7/gK9/d+Rcy40xg6dCjFxcXBOnl5eUyfHrnBmtYWZDlQgCOX\n0FurvRxs9JEZK4+1hBCivzI/+OCDPd2HE+J2ux/s6T70NvGZExhaXcK22mL0wzNKdEVhV2M52TWH\nSBo+LVg39fxz2Pv2UgZZm4JladZmdn6+i5hzJlBd40Gh5RgKFvKbExgXV4SiQExCFeUFscSPGBPZ\nEzwO1dXVAKSkpPRwT0RvNVDeI7qus/fjPBZ/ZyF5i/e0GQgAsEZbGX/tRM59+Hym3j2dlNGpmMw9\nk9PGGm0lfcIgxlw+lgk3TMIabaV6TxU+p69N3fqD9ex4fRt1B2rJmJyBLbZ780V053vkZ+vrKG4K\n/d3fMz6WmRmS36Ivq66uJskK290xHGz1bxtlVpgXnjhTCMDhcPymp/sgeoe+fD+zv3gvlc2H8Cse\nw8CF2x+NyVqKSw9Q01DBmePOw6RIfrwTMVCuVY9JIID9hUewv/c8SsC4ctg/YizOBx4hkDO6S4dy\n17vZ+dZ2lv3sM9b+bTV5H2rs+UBjz+K9FOgKltGhSQj+Yj95nySgBwKk7fwYc1IigeFqt55aOH9A\n5/41Nfyg8AP+lfc8Vr3tSumAxUblqbPhvt/hO+9q/KfNxH/qDPynnIF/0nT8E6fhnzgN7zlXtOS1\n8HowlR5ECTuW4nFhWfMZ2OzouRMoLCwM7mtsbGTChAk9khQ72mJiRYnbcJ01It7CaWkSLqqr5HNE\ndEbeH+JYReJ+RgYu+qnkEaeTVrSdHc1VweWwAUVhZ3URI1zNJGRNAsBis1EzLJvAl+uJs4RmXQ8z\n1bFnh5vakVHgDz1w0QOx1AY8DIupadmu34558AIsjqgInt2xkw9gcTQD4T1Stq2UJT9YzNdPbcRd\n526zP2FYImfeP4PzHr2Q3AtGE50a0wO97Jg12kbmmdmcctupxGcmULuvBldN26Xxlbsq2PbKN+h+\nnYzJGZgs3bNSpLveI4UNPn65sd5Q9vjMRBLt8kCnLzvy/khLTWFxqzAGBfU+7hkfi7kHbvBF7yYD\nF+KIvnw/M3b4FNZu/QSv4sShJ2HhyCC8wiCbl7JAAx6fm6y0kaTEZ/RoX/u6gXCteqxs7z2Pbclb\nbco9Z1+O+3u/gtiEdlqF6LrOoa9KWPvIaj7/8RIKPtlLU3lTm3rWsxyYUkLXk76vPDTkW8ivHsSm\ngzk0rP2GWFcpUdNOOWkP9DeXuZj0wT/56YEP2uwLJCThufhGdi24kbpxU0keNrzzgykKetpg/NPm\n4p13KXp8IqbKQyhNDaEq6Fh2bCLB2cBmexL64UTnXq+XzMxMYmNju/X8uqrKHWBFq5BZfl3CrR4L\n+RwRnZH3hzhWkbifkack/dj4S3/JZTFDDGUes4mXdiyhbPP7wbIRp0/nm2lzafaGZpEoCpzn0hhe\n0ISXZsMxDtRPoMTZcqESneCi5P0/n8SzEEKcKJ/Lx8rfLuf1S16meH3bZeH2eDuzfzmXmz+/nVNu\nOw17XO+e+W9xWJlw/SRu/vx2Lv3PFWSemdWmjs/pY90jq3lh3n/Q3t8dvNnqDd7KN36mnpFuIydO\nlrj3F5flOIi3hh5aVLgCfFLk6qSFEEL0XVarlbTodAAaTcbcAo2uTI7Mg968d3WEeyb6O8v65dgW\nvWgo0/8/e+cdX0WV/v/3zNye3nsnoTfpiIiIBVQQREUUsa/r7qq73/1tdXfVVbevrmV1V9eKiqgo\nFkCki9J7T0hIgSSk11un/P64ksuQQkILZd6vV17JnDln5szcydxzzvM8n8diw/2D3+K981Ewt++F\nr6kaO9/bzrtXv8mHN73P3g93txnN6z8RSBn6cZqSF5Bo8qkmtpen8u7fq3l/9HPseGdbmxHNp4Tb\nSfwrv+PB0mX665BMeGY9gvMfH+CbPAvFcRLGhNBwfJNm4PzzO3im3t2i2HAU+8aVZNQf0ZUVFBTQ\nXUxM0Uexri7z0OBtP0+fgYGBgcH5jWG4uMAZcsufmSjpk+i6zBJvb5xH9b4VLWVjfv5/fB3Si2Nz\n4NpMMpfu20APh4RKYPAlYmJF+Uh8qn9QE5e8nfJvl57ZCzEwMDgpqvZXMnfKHLb9b3NAEPZ7BElg\n4OzBzF51L5fcNxTJcnZyWJwuBFEg48osbpp7K1PfvZmontGt6jSVNrL4J1/w4fS51Byo7oZe6tE0\njXkF+igRI3nzhYXDJDI9U/+ZvpPb2nvTwMDA4EJh8pUPImoSzUIlCoEIblkzk2Xye23uLd6My2O8\nCw1OD2JRHtbX9M5zakg4rj/8G3n0VR229TR6+OKBT1n+66+pzm1nbChA0ohkMiZkkTA5CeEYhwTB\nJUBV2w4xlWUqKx5bykc3v0/DofquXVQ7CHXV2P/0KD0PbtJfhzUI9//7G74JUzs00nQaUcR342zc\nP/0z2nEGkJ4le3XbBw8e7DanoOwwE1mhgTmLT9UnLTcwMDAwuLAwDBcXAaNn/YsrVL0HdYNF4u1V\nr1FfGBgAXfmfF1gp68NKo61OBi1YTlBQk65cUMNYVD4oUFD6Ct6mRgwMDM4NNE1j2xtbmHvDHKr3\nVbXanzYug9sXz2bck1dijzz/F85Tx6Qxc+GdjH/mKuyRraXryjYd5r1J77D19c1oavdFX2yr9pFX\nH/DoM4twY7qR/+BC484c/f/U14c9lDafZu9LAwMDg3OExOhkIk1hIGg0ieX6nb5k0DQUVWZ30cbu\n6aDBBYVQX4Ptud8ieAOL1Zpkwv3wk6jJmR22rS2o4YMp71LwdX6b+4MTQhjx6CjuXnM/0+fNYPL/\nppJ4kz6yt9clvbj7uwcY+bPRhMS0PYYr31bOe5PeoWBZ2+fpLEJpEfY/PoRUmKsrL7JGcfjn/0Lp\nPfiUjt8WysAROB//D0pqVktZRu1hTEpg/Nrc3ExFRcVpP3dnEASBiSn6sf7C4tbSsQYGBgYGFwaG\n4eIiYdzslxnp1X/cNVYT7yz6J82le1rKBrz6Ittcev3ZTHsNgxZsxSfqNdkbXRlsrfVLUYVENXHo\n07+fod4bGBh0hebKZhbcNZ9Vjy9H8egXS0OTQ5ny1k3c+NZNROW0jlA4nxFNIv1vH8jslfdyyf1D\nEc36d57ikVn9xArmz5x32rzgusoHx8lETUiyEWk7vyJdDE7MwCgz/SID8ouqBu8dcHbQwsDAwOD8\nZujAyaBBk1iORkC2pVkOIc3s997eZshFGZwqPi+253+PWKNfNPfc+ShqzoAOmx5cls/cyXOoza/R\nlQuSQNY1PZj8xjTu/vZ+Rv70UkKT/bkxNE2juLhYVz81NZWQhBBGPDKau9Y/xJQ/j6BHXDXCcaHN\nnno3n9/zCWv+tArF13XnBaG0CMdTP0as0ss0bQlOZ/blTxGb06PLx+wsWlwSrsdewvd99IpZVcis\nOayr061yUal6g9GSQ27kbnRMMjAwMDA4cxiGi4sEUZK49p7/MNil1388Yjfz9oKncFb4vUFsQUHY\nn/gdJS59IrORtsPkrN+vC/8WENhdM4Qqj9/jISZ+PZWb157hKzEwMOiIg8vyefeaNylaebDVvl5T\n+zBz0WzSx50gYd95jjXMxmWPjeOOr+8m48rWnneH1pbw7jVvsXvezrMa5i6rGh8fJxNlJBO8MBEE\ngTuzW8tFqedQrhUDAwOD08mlA64gTAxBEbw4Bb38TpiaAEBRRS41DUfaam5gcGI0DevbzyEd2KUr\n9l51E/K46ztoprHhxXV8du8neBu9un2x/eO4a9V9XP/fG8kYn4koHefoV1NDc3NA4kySJBITAzkk\nRUkk/bbLuP6zh3ho4g56RLV+vje/spH5t82jqbwL6gQuJ/bnf6dLlg2wOHIA4wc9Rv8eCZ0/1sli\nteF54Dd47ngYTZLIrirS7T6Ym9ttclEjYi1EWAPyXbUejfUV3g5aGBgYGBicrxiGi4sIyWRh8j3/\npY9Tn3is1G5mzse/w1VTAkBS774cmDiVOq/ek+EGVx4RZYVox3iTiFhYUjYSWQVRBF/ec8huIwmp\ngcHZRlM1vv3rN3x2zye4qvWL45YQC9f86zqueW4S1tBzO/H26SQiI4Ib/jeVa56dhOW46/Y2eVn6\n/77i8/s+pbni7GhuryrzUOkOGI9DzQLXpBgyURcqt2Q5sB4TTFPUpPBNmaHBbGBgcOGSkz4KgEax\nVFde54kjQvQnN95W8N1Z75fBhYH56/mYVy/Ulcl9h+C97YfttvE2e1n4w89Y+7c1rXK99Zrah5s/\nmkFoSljbjaFVtEVycjImk6lVPS0+BfPvn+LmobsYn7kHAb2zYOnGw7w38W2KVhe2e67AwTSs//sr\nYpn+3K8ljOPGfv9Hk8nO+KSzNH4UBHxXTcP98FOk15fr5aK8Xir27Dg7/TgOkyhwdbL+HiwqNtYg\nDAwMDC5EDMPFRYbJauem2S+S7fTpykvsZt6b+0vcdWUADLv7LlanXIJXCay6SKLGbfu2XMtKZgAA\nIABJREFUIcjHeZIokSw50h+AsNh6ij957sxehIGBgQ6fy8fCH33OppfWt9qXOCyJ2xfNpteNvbuh\nZ92PIAj0mtaHO76aTcqYtFb7Dy71R6gUrylqo/Xp5XiZqMnpduwmoZ3aBuc74VaRyWl6DeZ38gy5\nKAMDgwuXyZffThBBeIVGvBybH08gWYwD/HJR3eWlbXD+Iu3ahOW9l3Rlamwi7of+AFJrQwKAq8bJ\nhze9z4FFebpyQRIY+/sruPrZiZhs5jbbHqUtmaj20BLT8DzwG0alFjBr0FpCLHpHIleNi0/v/Ihd\n73e82G/+6kPMG1fqyt6Ou4wHc+5DFk1YRBgddxqScXcBZdAo1FmPkFlzSFde/OXHCHXtJDg/w7SV\n58J4txgYGBhceBiGi4sQS1AEt97xHBnHGS8KHWbmvvd/eBv9iXzH//UZlpizdXUcZh8zVq7Dhz5s\ntdaZza56/4QkOmoVVduM5HsGBmeD5opmPr71Aw4s1CftEySBUT8fw00f3NqhJ9nFQkhiKFPfmc64\nJ6/EZNNPcF01Lj6d9RGbXtlwxiY8TT6VL4r0nmC3GDJRFzyzcoJ0258Xuaj1qO3UNjAwMDj/SYvt\nDQI0SvqoC6cnCQtQ21RJcUVe240NDNpAaKjF9u8nEbTA96dmc+B69BkIDm2zjeJV+PLBz6jaW6kr\nt4XbuPHt6Qy+dwiC0LHziMvlapWAOiUlpZ3a35936GV4b7iDlPBa7h36DZkRxyWw1mDZr5ew/7N9\nbbYX923D8sErurLK2Ax+lHM3fN/fUXFWgsxnfxlHHnc9mRl6CdY8RxTWZ38N7rPvmDE+ycqxt6Gg\nUSGvXm6/gYGBgYHBeYlhuLhIsYbGMnPGX0k9zniR7zDzwTuP4HPWAjDujVdY5dV7KSfYmhm3bjMK\ngbYCAtuqhlLntSKZNLz7/o7PpfcyMTAwOL1U7q1k7pQ5HNleriu3RzuYPm8Gw38yspVW78WMIAoM\nnD2YmYtnk3BJom6fpmp8+6fVLPzhZ3ibTr9G7sJiN045YBRJdIiMiT+73nIGZ58x8RYyQgKRix4F\n5uUbURcGBgYXLtOvehAbdpqFSt1cwadayDJHArD1wJru6p7BeYhl7isIzQ0t25og4P7hY2hJ6W3W\n1zSNFY8t5fB6fXRAdO8YZnx+B6ltROC2RUlJib59dDRBQUHt1A7gnXY38oARBFm8zBiwgcvT9+kT\nd2uw5KcLObhcn9xaqK3C9u8nENRjDDSOYH4z+ue4pIDk6fik7pN9TZh+J+ZjrqXZ6uBITS22Fx8H\n+ewaDUItIpfF6+/FohJDLsrAwMDgQsNY0bqIsUUmc/vNT5Pk0hsvch0mPnrzx8huv+5739f+zS5X\nrK7OcPkwyQV6TxERG4tKR6Cqfsmokvl/O7MXYGBwEXNwWT4f3vQeTaX66KeontHMWHA7iUOTuqln\n5z4RGRFM/2gGI382Go5ztjuwKI+5k+dQc+D0hr1/eNxi9fRMB+IJPP0Mzn9EQeCObP0ix1u5zYaU\ngYGBwQWL2WwmMSwNBI0msUy/05sMmsaOgrV4fIaDk8GJEfdtw/ztV7oy79S7UQaNbrfN1v9tZvcH\nO3VlSSOSuWX+bYSlhnf63F2RidIhSrgffAw1NhFBgDHpB5jebxOiEDBIqLLKlw9+xuH13xtHZB+2\nFx9HrK/VHarpgd/wYVOEruys5bdoA5PZTOpxURe50amYdm7A+uY/4CyPbyamGnkuDAwMDC50DMPF\nRY4jJoNZ0x4n/jjjxR6Hiflv/ADZ48IWFIT4i19y2KUPxZ1RugOx6bCuTFNiWFrRB4CYuO+oWL/6\nzF6AgcFFhqZpbHtjC5/f9ym+Zv3/bdrl6dz88W2EJhvSUCdClERGPDKaKW/ehDVMP+mpza9h7uQ5\n5B0nv3WyVLgUlpfqkzIbMlEXDzOzHYjH2Kj21MpsrfK138DAwMDgPOfWax/BrFlpEsvRjvXOlkNJ\nNQXhU7zsKFjXjT00OC+QfdjeelZXpCRn4LtuZrtNClcUsObpVbqysNQwrvvPFMyOzke6KorCoUP6\niI1OGy4AgkJwP/IUmtU/xsyJPsLkXts4NkO44pH57J5POLKzHMvcV5AO7NIdwjvlTr5LGELTMRG7\nsXaRvhFt5/Q4W2RkZem286JS0QDzN4swL/norPbl2hT9GH59hZcqt3JW+2BgYGBgcGYxDBcGBMXl\nMHvyr4l16xdSdtolPnn9fmSPi9ShQ9h/1Q3Ue/WDgwe3r0JW9R7flc092d0QiyiCWvw83sYGDLoH\nTXaiNhUgV65FLl+Br2wJvsML8R36DF/xfLxF8/AefA9fyQLkIytRaraiNhWgeqrR1AtUI9TrQSgr\nRty3HWn3JqTt65G2fEvY3s2E796A6dslmNYuQ9q1CbH4gD/h3FkOfW4PTdNY+7c1rHp8OZqq92ga\nOHswk1+fhjWk+8LHz0fSx2Vw2xd3ENNHH1Xma/ax8Ief8e1fVre6111l/kEXyjGH6BNhol9kx8kg\nDS4cEhwSVyfrvzvfyWvupt4YGBgYnHkcdgfxQXEoghenUKXbF675pRo37l/eHV0zOI8wL56HWFqk\nK/PM/imY2l64r86tYtFPvtCN2ywhFm7431TsEfY227RHeXk5Pl9gbmy324mOju7SMdTkTNz3/apl\nu29cKddm6yNBvE1e9j/8LJavP9aVy/2H4b1xNisO6x1fxiVauz1iNyUlBbM5MI5ttjo4HBoDgOXD\n/yKWFLTX9PT3JdhE/2PG1BqwxJCLMjAwMLig6F5zvcE5Q3BSf+6c+HPeWPQPqo9JXLvDLsHr9zP1\nnlcZfv/9LM8v4pqStVhNfk8Gq6YxbfsqPh18LeL3j5OAyNbK4STYlhIZ1cShT/5M5p3PdMt1XSyo\nrnKUul1ozkOo7nI0Vzmqqwx89ad2YFMwoiMZMTjj+59MxOAMBNOJ9V27FVVBLClALMxFrCxDqCpH\nrCxHqCpDrGtbAiizzdIAWlAIWmg4akQMamoP1JQs1NQs1MQ0MJ35RWhN01jzzCq2/HeTrlwQBS7/\nwxUMvOuSM96HC5Ww1HBu+eQ2lv/ma/Z+vEe3b9O/N1BfVMfV/5x00sc/PqfBLZlGtMXFxqxsB4uP\nmUh/VODiqWFh3ZJc08DAwOBscNM1D/PC/F/TJJYRpMS0lNd54gi3FFJWU8zhqoMkRWd0Yy8NzlWE\nyjIsC97Wlfkum4iaM6DN+q4aJ5/f+wnexkCeMkEUmPjC9UTldM3gAG3LRJ0omXdbKMPH4S28DcuX\n7wMwJKkYj2xmxcHeAITbmpmQpB/bq9FxuB98DESJZaX6Rfgru1Em6igmk4nU1FTy8/NbyvKi00hu\nqETw+bC+8hSuP7wMlrPjTDUx1cbOmoCRaVGJm5nZ5/hc1cDAwMCg0xiGC4MWwtIuYfZVP+GNpS9Q\na9UbL4TX7+fGe15l/J+f4qv7f8z1nt2Igt+bJau5nj5FW9iXNryljYiVxaWjuCV1BXHJWyhdvZjE\nsdee9Wu6ENE0Dc19BKV2B2rdDpS6HWjuijNzMrkJtWEfaoM+n4lgi0UMzkAKH4AUORghKOOkBvOn\nDZ8X8eA+pP07kXJ3IOXtQnCdXo9mobkRobkRsawE9mxpKdckE2pSmt+YkdELud8wtLgkOI33Q9M0\nVj+xgm1vbNGVm4PMTHzxBjLGn8jsYnAiTDYzV/1jInGDElj95ApUX0CHOO/LXJqONNP31wOwhHUt\nofaBeh9bjpMFmp7ZNa8/g/Ofq1NsxNlFjrj8z1WjT+PTQhe3GxNrAwODC5SosBhirJGUe47gpQkL\nwd/vEUiUktjms/Lkx98QVLebw6KVI+YgImQXfVQn/aMdDBuaRUbfFERJ6tbrMOgGNA3rnOcRvIFo\nAy0oFM+tP2izuuJV+PKHn1FfrHfYuuyxcaRf0fUxsqZpFBXpIz26JBN1HN7p9yEd2IO0fzsAo9Py\ncQkO1hWkcm32LixSQNpIM5lx//hJCA6j2q2w7bgx5BWJ50ZkdWZmps5wkRudyuUFmxHRkA4VYPno\nNbwzf3RW+jIpxcZftwUUIJYf9uCWNWwmI5ecgYGBwYWAYbgw0BGRNZK7VYU3lv9bZ7zY/n3kxY33\nvMr4V1/k6zvu4xrpQMv+iSV5HIqIoSn0GK8pJZKF5YOYnLgNU9V/cNcMxxYZeTYv54JB0xTU2u3f\nyzltQ/OcIUNFZ/vjrkBxV6BUrQdAsEQgRV6CGDHY/9t65j9noaYC07rlmLatRSzYg+DrHs14QZGR\nivORivNhzVdYATUmEaX/MOT+w1F6Dwb7yXvYa6rGit8tZeec7bpya5iNqXOmEzcg/hSvwOAogiAw\n8M7BxPaN44sfLMBZGTB+lW06TMMjdQx7ZhRkd/6Y8wr0yUfHxFtIDja+ei82zKLAbT0cPLezqaVs\nTp7TMFwYGBhc0Ewc9wBvfvUMjVIpUUpOS7nbHc9a6QqqLKGgV2pkxdE/NkPsd/vp21RGH9XJlT3j\nGD9lOAYXPtKWNZi2rdWVeW55AELaTqy98g/LOLxOn4+i74z+DLrn5KKR6+rqaGwMLIRLkkRSUtJJ\nHQvwJ+u+9//heOzeFmPM+JSdhIULZIVW6qqu84ymb2o2IrCq1MOxYqX9I83E2s8NQ15ycjJms7lF\nTstpsVMaGkNyg3+OavnqQ5QBI1D6DT3jfRkYZSbBIVLm9DuHNMsa35R7uCq5+6NTDAwMDAxOHWP1\nxKAVEdmXcjd0aLy4dM5rfDdjFqOtJS3779q5lhdGRCCYAoPKJlcWG2urGBZxiNLPnyJk6hPsLa8g\nv6qBkgY3ZU6FKo+AqgmIaAiCP/GK/7eGJEKUVSA5xERGRBA9Y6PIiY/BLF0cj67aXIRctgz5yHI0\nT9WJGxyPICHY4hBs8QiWUATBBIIJRP9vQTSBIKLJzWjeejRffctvfA1A57T9NW8tcvkyKF8G4I/G\niBmDKX48oj2h6/1uj6YGTBtXYV63FHH/DgSt67kHNEFAi4hBi4xFs1hAkkAy0eRyo0kSwWHhIMsI\njXUIDXX+3031XTqXWFmKuHwB5uUL0CQTSnY/lEGjkEdNQAuP6vRxVEVl+a+/ZvcHej1cW4Sdae/e\nTEzf2HZaGpwKCUMSufXTmSy4az41eQFpseZDzXz38Gri3oojftCJn2tN01rLRBlJuS9aZmUH6QwX\na494ya3zkRNu5DsxMDC4MEmJSkVWU2gWiwgnHQl/1KKsmbnfvIY/+TqWYaywhlFhDWMF8FINjPjn\nN9wX6eOmWZcbkRhnkOaKZsq2lFK+pZSyLaXUHqzF4jBjj3L4fyLtOKL9fwfFBpM8IpmguOATH7gz\nuJ1Y57ygK1J69EUe2/azkrcwl13v7dCVJY1M5oo/TjjpaPDjZaISEhJ0OR2OR1VVysrKKCws5NCh\nQ7jdbrRj5g0tf4+YTlhTHem1pWTUljJI0I/vi+oiWb4tmOYX1jHy0dGsLNPntzhXoi3ALxeVlpbG\ngQMBR8b9Kb1I3h1wrrO++mecT/8PgsPOaF8EQWBiip3X9wccjhYVuw3DhYGBgcEFwsWx+mvQZSKy\nL+UuTeXNFa+0a7zo8crz7HngAfrY/Z4iZk1j5s4VzBl0HZIQkFPZX3MJSbZ6ElP2cNfC1XztGgR0\nYSDRDNQARQAqolZGKG7CBBfJ5mZ6haqMTA5jQs9MIoLO/0VBzVuPfGQlcvlS1Ma8zjUSzYihvZBC\neyM4EhDtiX5jhS0aQTi5iZ2mKWieGtTmQtTGAtTmg6hNB9GcJaCpHbZVm/x1fQffQQztjSl+PKbY\nsQiWkxi4ej2YtqzxJ8zeuQFB6VyibC04FCWnP2pSBmp0PFpMPGp0AlpUbJs5KQ7m+e91dnYb7vSq\ngtDUgFBfi1BWjFR8ALH4AGJJPmJNZev6xyAoMqZ92zDt24blg/+g9BuKfOk1yEPGdKj9qioqX/98\nMfvm63Mu2KMdTHvvZqJ7xrTT0uB0EJocxs0f38aXDyzg0LqAgdZb5+XjWz9g4ovXk3lVjw6PsbHS\nS2FjIPzfKsHkNEMm6mIlK8zEpfEWvi0P6G+/k+fkj8PO7ITewMDA4GyjKgofv7OKfzQEUxwyg9n8\nnUaxjHA1raVOvNeDHQ8uofOLsesjMlmvwT9f2sy9phruvHs8FnvXJBwNWuOsaibvy1zKNvsNFQ0l\nrXPkuaCVFNNRBFEg9bI0et/Ul6xremCynbxB3rLgbcSawOK3Jop4Zv8MxNY5oTz1blb+fpmuLCw1\njOtenoxkOXnDVklJiW67LZkon8/HoUOHKCwspLi4GK/X26pOW1QHhVMdFM7m5D5YZC+pdeVk1hwm\npaaMr/L6AQLrn/uOpGHJfFOmf7bPJcMF+OWijjVc5MVmMm7PGqTv54liXRW2N/6B+8dPnFYJ3baY\nmGrTGS4Wl7j4hxbWvVLGBgYGBganBUE7CY/lc4n6+vrz+wLOcWpyv2llvAAY6FK48Z5XKd25h9C/\nPkGyvaFl34aEJNZkXY5AYKCgCo3cnLaUJhxcWfoklerpX6gRNZVYGkkxNdIrxMe1PaK4tk8OkiSR\n19Gi9DmC6q7EV/whcukiUE8geySaEUP7IEX0RwofgBjaC0E6OxM3TfGiOotQ6/ag1GxBqdsBiuvE\nDQUJKXIIpvjxSDGjEcQT9NfZhHn5AsxLPkKsrz3h4dWoOJSc/ig9B6DkDEBLTOvSIPmkn5GmeqTi\nfMSD+5F2b0LavwNBPrFslWYPQh52Ob5Lr0HN6Q+iiEfRKGmSOVgvs+iNbeQfbMBnkpBNErJJhGAr\ncaPTUB0WNE0j1CISbhEJswj+31aRMItItE0kO8xEjE00BuyniOyRWfr/vmL/gr26ckEUGPfklQyY\nNajdtj9fW8dr+wKTqMlpNt4e3/mIG4Pzi868Q+YecPLgN4H3WYxNZPct8Vgk4//0YiQsLMz44A2A\nC2s+s3zBBv6a72ZdRFZL2RV8wgC2kigPQySwoFxnb2SpL5KrPKH0iYyluKKR3c0qeyxh7A5Jwn2C\nsW2Kq4q7PCXcd+dYwqJCz9g1nSuc7vmMt9nLlv9uZMt/N+Fznh7JVUuIhexJPek9vS+JQ5MQxM6/\n5sRDBdh/fz+CEnD68F57C97bHmqz/rJfLWHX+4FoC9EsMuPzWcT0PnnnHq/Xy9tvv62LmJgxYwYh\nISEA1NTUsGnTJg4dOoRyTD9PB0qhjG+5G7VUwZMZxTN3Xt2yzyxC0e0JOEytDTjHcjbnvLIsM2fO\nnBa5KIAbgyDjq3d19dz3/hJ57MQz2he3rJH5fhlOOfC5rZ4cw4Aow7B5POfDuohB92E8HwZd5WzM\nZ4yIC4MOicy5jLugzcgL+X/3oQ56mIWj7+PZPW+T8b2U0fCywxyM2ENpZN+W+qIWwuelw5iesp5n\no19nVsUjaHQ88OoqqiBSThjlShgb6+CdTRCysZCepioGOhq5KjWsK9L0XULTNOq9GkVNMiVNCiVN\nCsVNMuVOFbeiIasaXhW8auBvTYMwi0APazWTxc8Zoq5EooMBsGTDdFR+KazfWTNUHI8gWZBCspFC\nsjGnTEFTfaj1+1BqNqPUbkVtyKVNiSlNQanegFK9AcESgSlxEqak61rlwxDqqjF/9RHm5QsQ3M7W\nxzkGJbM38qgrkQdfihZzGiWpukJwGEqfS1D6XILvutvA40Latx1p5wZMOzcilpe0aiILItulGL7L\nV9hSsYeC0EYOhiRRplgCdy41FdrKA1itQrW7U10LtwjkhJnJDjeRE+b/6R1hJi1YMgwancRkNXHN\nc5MISQ5l00vrW8o1VWPFY0vxNHoY9tCIVu18qsb8g3qDniETZTA53cYv1gs0eP3/6ZVulcUlbian\nG5E4BgYG5zeqovC7fyzkpZhLIEK/bwtj6cMmmsRyQtVAroBEHwxnORl9xzDpsmm6Nl6Xl61r9rB5\nXxmLvDa+iczheErs0fzRHs0bHxTyTHgdk2eOPXE/NZXDVQepbaxE1RRUVUFRFVRNRVX92w5bCOlx\nPYkIuTCjWxWfwu4PdrL+ue9wVnY81u4q3kYvuz/Yye4PdhKaEsbQh4bTb8aAExswNA3r2//SGS3U\nyBi8U+9qs/qhdSU6owXA0IdGnJLRAqCsrExntAgLCyMkJARZltmyZQs7duzgTDl+SukmpHuCkXd5\n2V2uz4E1NMZyQqPF2aYtuajclF6kpucgFea2lFnffR6l5wC0uFPIE3ICbCaByxOsLCoJzJG+KnEb\nhgsDAwODCwAj4sKgUxwbeVGrRbGfQeQyiHr83sM5zlK+2fIEUbJfv1sFXho+AdkSpztOYugOxsXk\n8VzZDSyWRxBp8hJlUbGK/jaK5l/QVzX/tlcVqPVJ1ChW6lUbDdhwCSc/AInX6ulnq2Vadgi3XtIX\n6ST0cTVNI69eZn2Fl/UVXrZWeSluUmj0de1RTDNV8JOwL5ketBaz0LbBQtUEtiq92WkaS1PYaDLD\ng+kVYaZPuAmpCx5MHaJp4HH5pZAa6/2/mxoQmurB1ewPzZZMIJnQJJM/J4TJBGYLang0WmSMP2+D\n2f+5aN565Mo1yOXLUet3d3xuwYQp7nJMyTdictqwLJyL6dslHUYsqAkp+EZOQB51JVpc8um5B5w5\n7wKhopSmTWvZtC2P9Z5gvgvLYUNoFk6p+3RXEx0il8ZbGR1n5dJ4C9lhJsOQ0QmWPfs1u57f7n85\nHcOwH49k1M8v1d3DxSUuZiytadkOtwjsn5GA1fCsv2Dp7Dvk+Eicq5KsfHh19Bntm8G5iRFxYXCU\nC2E+8/u/fc7z0a2TIQuaypTK3eTELcarOUmUhyAc47xktm/noOLkVzNewG4NatX+KGsWbuLlXdUs\niu6DKrS9gHtHxTaeuudSwmP0SZxVTaWk4gC7Cjewu2gjjc66Tl1TRHAMmQl9yEzoTWZCH4Lt3Svt\nd1JjVZ8XKW8X0s4NSPu2462up7nShexR0BC+n3cJqJpItTOI/JpYihtjCe2VRMIliSQMSSR2QDya\nrOKsceKqcuKqceGscuKqdnJ44yGq9nQsm5pwSSLj/3QV0b3aNypIOzdg//svdGWunzyJMrS1MUp2\ny7w78S3qCgIRjBFZkcxcdCcm66n5ZX777bfs2ROQae3Tpw+pqamsWbOGpqamdtvZbDZSU1NJT08n\nLi4OQRBaxoVHfyuKwpEVizm0eR2FEYk4Le07LciqwEopixViJl7BxC8HhfDrwSeOKjrb3tJFRUUs\nWbKkZdvhcHD7FWMI+sMDLYnIAZSsPrh++7x/TnmGeGt/M498F/jfHhZj5uvrjXyAx2N41Bt0hPF8\nGHQVI+LC4JwhLGs0wp4qPqmO45CY1mp/riORKf1/zpLtz+BQvYjA7G2reHXY9YhCwMv4cEM/9lnr\n+En0F/wgbjjRg0Z3uS+VDY3sLqtge1kN2yo9HHDaOKSEUiu0P9k5SrkQRrknjKW74Dc7Cxhmq+DW\nXuFMHdirXSOGrGpsrPSy7ojfULGhwkuNp+McDx0RI9bz64iPuSloLSah7eMcliN5u3Ec85tHUaoc\njUjwAf4BeqhZYESshVHxVkbHWRgcbTnxgqimIdRUIJYUIB4+iHjo+5+yYgRf53RZO0INjfg+6XUM\nalQsasoVyIk34TUdRK5ehdZc3LqRJiOXL0MuX4a5QkUqlDEpre+JZrPju2wS8phrUNOyz7hO6umg\nzKnwWaGLBYVm1h4ZiZYwsru71EKpU+XDAhcfFvgjAmLtIqPjrIxNsHJdqo04h5Hwsi1Sr0/HFm1j\n21Obkd2BXCsbX1yHz+Vj7O/GtUxO5+Xroy2mZtgNo4UBAHdkO3SGi2WlHg41ySQHG0MyAwOD85On\n/9620eLy6v38sl8Eo++5lqUbPKzaPR+nUEWQFlhMtCkpqOputhd8x8jeV7V7jjGThjJmEuz4bh//\n/iaf+dF98Yr6XApzYgfx7byD/CXezYRpI1qMFXuKNtHgPLHs6PHUNlWyOW8Vm/NWARAbnkxO8gBG\n9r6KsKDIE7TuPoTKMqQdGzDt3IC0ZzOCJ+CFbgfsFqANP7DU8BoGJ5agiSJqj77IA0ag9E9GTQkF\nUSQiq+1rrtxTwd6Pd7N/wd42IzjKtpTy/nXvMPi+IYx4ZBRmx3En1zQsn7ypK5L7D0MZclmb59vw\nwjqd0QLgyr9cfcpGC4DDhw/rtmtqanSGjGMJDg4mPT29xVghtpGH41jMPg+9F71F3/paNOBIcCQH\nI5I4GJnEkRC9lKhJ1JigHWC4UsJiMYcx8QNP6brOFElJSZjN5ha5KKfTyRHJRtJtD2F769mWelL+\nHsxfz8d37S1nrC/HJ+PeVOmjyq0QbTPmNQYGBgbnM0bEhUGHKIrCC6s382qhg8PHx30fh03z8mD+\nYv5SMg9J8H8se6KiWdx7AsIxerYqHq5NXoalwUzUdf/DEhxyWvp6sKqKpfuL2VTuZGejnQNqNF6h\ncwPYSK2ZEY5K7ugbyXX9e6NqGmuPeJl/0MWCQhdV7pM3VBxFRGVW8Ep+GTGfMLHtnBBFvmheaLiO\nj5pG4+uCXdEmwSXRFsYkWJmUYmNglBlBURDz9/gnLfu2IZYUnFB66UygSRJqYjpKYjy+MBcecx6+\nSC+0EzEi1akEb5exFqloweH4rr4J35U3QtDpeU7a43R4FxxuPmqscLG+wtuWYFaHCJpGSIOTiLpm\nwmubiWmsZ2RfF6Ejh2KNjsEqCdgkAYsEAtDg06jzqNR5Veq9KnUejTqvyuFmhbx6Wafz2uk+AKPi\nLExJt3NDmp3EIGOwf5Sjz4ijxsZn93yCt0lv8Os7oz/jn7mKJgVy5pbhPiaQauHEaEbHn1tJFQ1O\nL115h4xdUMGOmkBk2W8Gh/CLQRe+PruBHiPiwuAo5/N85u///IKnIgbrykJlJ/+ylzL1jst15f94\n68c0qwoJst7Iodm34BIauTfZjWh2gORAMAUhmBxgCkIwBSOG9MAUPRLB4o+mKNy6qDlkAAAgAElE\nQVRdzD+/2ME7MQPRjovAEDSVkcp3DDItwSTInG4k0cSQnMsZ2/86woLOXu6qDr9nNA3TumWYP5+D\ndLjwtJ5XDY1AHjEe3/Uz/VHW7dWTVYpWF7Jv/m7ylxxA8bSOKA9NDmXcHyeQMT6zpUzasR77P36p\nq+f8wyuomb1ata/cW8nc699BlQNzs/53DGT80+0bvTpLY2Mjc+fOPWG9oKAgRo8eTVpaWpcili1z\nXsDy9cct25ooIqj+6ygOi2NV5hCqgtqeb0eERXLNxKtbcm20R3d4Sy9btoyCgoKW7f79+zNyxAhs\nz/0W07bvWso1mx3nn95GizxzEmzHj69eviyC23oYUq3HYnjUG3SE8XwYdJWzMZ8xDBcGbaIoCi+v\n2cJ/CmyU0L5HkYhMBvvIYTuXu3Yxe8bTbHn4Ca6RAlqXi7Ny2JswTNdOE+uZnracutL+ZN75lzNy\nDY0uNx9v28vXRc3scIZxiAi0Tgwuk7RaksRKdqlJODsRxXEUmwSpwSZSgiVSgiRSQ0wkBUkEmQQi\nvPn0qHyFYPeBNts2SAlssE1lgzaaKq/I4WaF3HqZClfXDCaZriNcXbODyQ27uKxmN3ZfJ5JmdwOa\n2YQ3WsOTIuBNFFFChVZRFKIWgbnXfUiJVyC0IwlwOjnZL2m3rPHxQSdv7XeyobLzkSsxNpERsRZG\nhPiIXfkNe+dWEVLnaok4sUgytw9cS2JoPZogII8Yj3fa3Z2Wx1I1rcWAkVsvk1sns6/Ox9YqHy6l\n86/NEbEWJqfbmZJmu+g9wo99Rsq3lfHpnR/jqdfnG+k5pTeVD43lJ2sbWspSgiW2T49DPA8ihQxO\nnq68Q17b28TP19W3bKcGS2wznpGLDsNwYXCU83U+8+LzC3ksRO8JHiS7eTOqgqumjWpVf+XaOSzb\n9zUxSh/sWmB+EWY9wk41jzviaki2dpQkWkQM74spZjRS9GhEexxfffQdvzzioNDRejE0ggquZh6x\nQqmu3GKykpHQG6vZjiRIiKKEKIpIon+cc6S2hOKKAyhqx0YPSTQxJHssYwdc364BQ1O8aK7vzy+a\nQTQjiGYQzIHtTo5z2/ueEYsPYH3neaTcHW01O21oFiu+q27Ce91tJ3QoajjcwKrHl1OwpO25T/Z1\nOVz++JUExTiwP/kQUsHeln3yoFG4f/qnVm1URWXetPc4sq28pSwoLphZS+/GGnrqziF79+5lzZo1\n7e4XBIG+ffsyZMgQLJauSReLRXnY//ADBC0wt/PecAfStrVIJfkAqAjsyr6ErxMGIKqt5xQ2m40J\nEyaQkNB+Xr/uWHTMz89n+fLlLdshISHceuutiA21OH41C8EZiDL1Db8Cz4/+cMb68vSWBv62vbFl\n+8Z0O29ece5GR3UHxsK0QUcYz4dBVzEMF53gfB3on8v8Z81m/p1npoj2PWqytTL6ymuIMe/FJgQW\n7lJcPu646Y/sf/gJLrMGpIHeGDSSuuAs3TEslkNMS1pPg/YASVfpE/KdbvLy8ihvamJVpZuvy0zs\nUeLwCR17kls1H9naYZoFkYOCPktyiFlgWIyFEXEWRsRa6BNhJsYmtvK60eRmvAVvIR/6glbC+IDg\nSMGSPhMpdiyC2Lo/dR6V3Hof++v8i8/763xsqvTppKrSXRXMLl/NbUe+o4f7SBfuyjH9NFvQgkPR\ngsPQgkMhONS/7Qj259lWZFBkBEUGRQFFQfC4EGorEWoqEepqdAPxrqIEgTdRwpMo4kkWwRS4j0JQ\nOpaM25FiLj2jBoyufkmXNiu8vq+ZN/Y3U90J6bDe4SZGxlkYEWtlRKyF9BB/guyyzaXMnzlPJz0k\nCioz+m8gI7JKdwxNFJHHXod3yp0n7a3kVTS2Vnn59oiXb8s9rD/ipakTkRmi4A/BvqdnEBOSrKcv\nx8p5xPHPSOXeSj6540NcVfpIpnmPTmJ3eEAH+/8GBPO7Id2ri21w5unKO6TOo9LrA31UzqfXRDEu\nsfty3xicfQzDhcFRzsf5zKv/XswvbH110Q42xcvrwYeZNGOMrq7qrsSb+2+UqrW8fiiDetlEnDJA\nV8dl20istY4bohvoLGJwFlLMaJpMw/m/efv4JLK1XJWEjwl8TD/zfnqmDKJv+nBykgZgNnW88OyV\nPZRUHCC/bDcFZXsorS5sNymzJEpckj2Wsf1vIMwRitqwH6V2O0rtDtSGvdDGInQLgogYkoMUOQQp\naghiaE+EduYorb5nmhqwzH8d8/LPOhyHN3qsFNTEkl8TQ7UzmKQRSQy+azBhKaGgKn452eZGpL1b\nMe1Yj1ha1OG90RzBeCfdhu/qaWBtP08DQP5Xeaz8w3Kayhpb7QuOD2bKL7NJX/BHXbnz8f+gZvRs\nVX/r65tZ/cQKXdn1/51C1jWnZ4FtyZIlFBW1fe3R0dGMGTOGmJiTGH+rKvanfoyUH5CcUmMScT7z\nBuLhQuxP/FD3+c28+h80uOoZqx3EfNz8URAERo8eTe/evduM9uiORUev18ucOXNQjkmsPm3aNKKi\nojAv/QTrO//S1Xf9v7+j9Bt6RvqyqdLLhC8COVdCzQL5MxMwX4TzlvYwFqYNOsJ4Pgy6imG46ATn\n40D/XOVgVRX3L8xnk9K+R/cAsZRfDQlhUr9eNB/J5Z35j3PYrteXTXT5uGXCT6l+7J9cYisDQEbg\npZFXo5r0CUjjQ3Yx2lGA9ZKXCE7WGwdOJ8e/gI/UN/D8ml0sq7BwQItFPoERI1Grobe1hiv792Fs\ncji9O5EcW65YjTf3ZTRvG5q6kh1L5p2Ykia3abDoCFXTOFDZRNWqlSRt/oq+Zbs63bbBZKcqOo2g\njCzCs7JQkzNQkjIgNPzEjTtCkRHqa/xGjJpKxLJipMJcxOI8xKquGVNUE3hSRDzpEp4kEb7PCyAG\nZ2DOug9T1JBT62s7dOZLWtP8+U7+s6eZBYUuTrTePzjazI3pdqak20kPaR2tUJ1bxYfT5+q99gW4\n7qdZ9K9fgpS/t1UbAM1sxnflVLzXz4SQU/vsZFVje7WPlaUePitysb26I09HPynBEnflBHFHtuOi\nyofR1jNSm1/D/JnzaCr3J2xsCLHzz59N0UV3rZsaS69w/XvS4MKjqwP9B1bX6HKhTMuw8/o4wyvw\nYsIwXBgc5Xybz7z93yU8auqtS5JtUX38x1qkk4fSNBW5dBHeA/8DxW/kL3aG8F6Fgzh1AFYtIJEX\nbjvEbuUgP06qxC517XaoiGxvsjGndgBfqDfTROux0Y+qNvPHn12H2E5OuxPh8jSzq3ADq3d8QV2z\n3rEkRFLoG+Qm3eYj1aYgcgryVKZgpMjBSJFD/YYMa2Du1PI9k5WJadVCrB+9itDU2tCjiSKVJLLr\nQDD51bFUNIcAAoIocMVTE+h/e8f5EoSqcqSdG/1ys7s3tys1q4ZF4Jt8J75x14Op/XGOt8nLun9+\ny7Y3tqCp+s/WbFKZ0nMzPWP88wV58KW4H3261TEaDtUz56o38TkD49Ssa7O5/j9TOryWzuJ2u5kz\nZ04r45TZbGbo0KH06dPnhDks2kPauAr7i/ooA9fP/owy0J//zvrmPzGv+Azw+4sljX6ZCkso4ZqL\nG9Xd9NUqWh2zV69ejB49ulWOxu5adDze6DN48GCGDh0KqoL98R8iFeW27FPjknE+/TqYuxa10hlU\nTSNnbrlO5vmza6MZm2DItR7FWJg26Ajj+TDoKobhohOcbwP9c5VnV2zknwcjaRTa9vbsJ5Txi8EO\nJg/soyt3Vh7k3Q9/S7FDP1iNcfu48ZI7MP39f+TYqwGottp4c+hEXbJuDZWB0d8R3ySRMvPVk55M\nnIhjX8D76ny8sKuJeflOfCoEaU300EppEMIoJLZDOalgzc2E4DJ+e3lPsuPa9rjRFDfe3H8jly1p\nc78UMwZLzoO6iUin0DTE/D2YVy/CtH55p/JVHDGH8nVkf76O6M834b0otka3SDINijJze7aD6ZkO\nIqxnLpJB3L8D62t/Qqoo63Jb1QyeNAl3uog3QQRRQIoahqXHA4hBKae1nx19SWuaxpJDHv6yrYEt\nVR0v7A+NMTMlzc7kdDtpbRgrjtJU3sgHU95tWfA+yhVPTWDArEGgaUjb12H56LWWEPJW/QoKwXPT\nvchX3ABdNIC1R2Gj3JKnY/MJrtUkwPVpdu7rHcSlcZYu6fyej7T3jNQX1zF/5oc0lNTz7aheLLkm\noPU9MNLEqilxZ7WfBt1DVwf6a8o9XL8osPhlEWHfrfFEGkkkLxoMw4XBUc6n+cwnc1ZxvycdWQyM\ncUyqzIviAWbcfWVLmdpcgmf/86h1O1sd4/VDGTTKdmKU3i1lAip11g0M7zeBS7OHgexEk5tBcaI6\nS1Gq1qI2FbQ61rH4VFjdGMlf629ll9bao/uGil38+4HRhEScfN40WZHZlr+GVTs+x9VcwcjQZoaF\nOo8NFj6tSFHDMGfcgRTak7y8PKxVZfRcPAepMLfN+p4+w/l8Yyb7N+rHl2aHmYkv3aDLLdEpfF7M\nK7/A/Pk7iPVtJzhXE9Nw//D3qKlZbe4/SsXOIyz79RIqdh7v1KQxPnMvI1MKcD35X9T0HP1eTWPB\nXfMpWnmwpcwSamXW0rsJjgvu2vW0gdvt5vPPP6eurk5XHhwczKRJkwgLO4WoWVXB/ti9urwj8iWX\n4n7kGONMYx1Bv7gDwdnEbkcSA4f/tWWX1evld2u+wDq29Rw9Li6OCRMm4HAE5tbdteiYm5vLqlWr\nWrbDw8O5+eabARDz92L/40MIx6w7eW66F9/kWWekLw99U8t7BwLz5B/1Debp4Ubk81GMhWmDjjCe\nD4OucjbmM9Ljjz9+ps9xRvF4PI93dx/OZ4qra7j5ox28V5vUZiLrPkI5fxnk428TB9EzvvVCvTko\ngr5ZIzi09SvqzIHFFqdJouDQdpJGjIdtxYSaPTgUmQhnJbkxGQj4F8oFBMqc8WTE7aNu22Ei+o0+\nI9dZU1PDgWaB3+3S+NX6enbW+Djq8OMTLBwRoqgTgkkTKugtHqFedbR5P7yCiX2+CN7M9bJm926S\n7T7SogJJ1NSmg7i3/Ra1dkurtoItAWvfX2FJn+FPNthZNA1p1yZsr/0Z6ydvIBXlIshtLyhrJjO+\nnIHsGjyJFwfO4v6kW3k/chg7g9OoNwXp8kiUu1S+PuTh5d1N7K+XSQqSTm8iZlXBvGgettf+jNhY\n32q3EpuElpCK0FiPoLZO3gcgqGCu0bAXqNhzFUSvhs9Uiq9qIZqvHim0J4J0ejxoampqAIiK0kuk\nrT3i4f5VtTy3s4kyZ9th+KEWgft6BfPfsRE80j+EEXFWwjswBvlcPj6d9RG1BfoJ4IhHRzHkB8P9\nG4KAFp+CPO4G1MRUxJJ8hGZ9mL3g82Lavg5p63eoyeloUae+QB5uFRkRZ2V2zyBmZjtIDjZR6VLb\nzLeiAvvqZN474GRlqYdYu0RWqHTBGjDae0ZsYTayJ+VQuOIgH43qS1NIQDbhyr2FXDsmEVE683la\nDLqX9p6P9kgJkvgw30mt1/9lpGgQ75AYFnv6PRANzk1sNtsT3d0Hg3OD82U+U324mpm7VBrMgXGs\nqKk8q+zj9vv8yZE1VcZXNA/Pnj+juVo7rYgh2ZiC09hTU4RDi0biqPOTQJzFx9aqPC4bcjuSPR4x\nKAUxOBMpYiDmpOswxV+JaItFUzyoniqOH21IAmTaXNwWtp2kZomVcoYuKiQ3KJZV6/czLlQgPObk\nFjJFUSQhIpkhoR6GqBtJs7o4kQqNYI1GsEUjmBwIks2f20KQQABOILWquUqRSxejNuyHkkay5r6K\nqaq8VT01NpGaqQ/z9utmDu/WR2E4YoKY9u7NJI88CacfSULN6o1v/BQ0qwOpMBfBp5e+EhrrMa1Z\njBYS5jc6tDMODIoLpu+t/fE1eSnfeuyzIXCwNoa64DRS7p/casxUvLqQ9c9+pyu7/PHxpIw69Wj9\npqYmvvzyy1ZGC7PZzLRp006YDPtEmNatwPJ9NAWAJoi4H/6jPmLaagOLFdPODXwYO5LFUYNado2w\nqmS+sRO1XEHqYUY4xkLW3NxMQUEB8fHxBAX58zJ2dSxyuggKCmLnzoCR0u12k5WVhc1mQ4uMQayr\n1hnbpAO7kUdNOGGulJNB1uDTwkBEa51X5YHep27gulDormfE4PzAeD4MusrZmM8YhouLmH+t3Mj9\n66BAa/1Sitfq+Xv/Zp69bjC9E2I7PI7JHkqfnmMo27yQmmOMF26TSHFjIY70gYQcOEKQyUeMy4VT\ndFERGpCjEpDIb45lUMxymqqSCU5OP23XCFDrUXliSxNP51nIa2h7gTzKKvLogGD+dUUKDwzN4MG+\nQVjrcqlodFGjBbUagKuCSJEaztwiiS935GL1VtKbzXh2PQXeGv3BBTPm9BlY+/4KKajjAbamaTTL\nGnVeFZesImz9jqBX/4Rt4fuI1a3DhI+iZPXBO+VOPPf/CmX8ZCIHDGRMrwR+1C+EsYlW7CaBggYZ\nTxuXr2iwp1bm7Vwnyw97CDGL9AgznVKSWKGiFPu/HsO8eiGCqp+QqeHRuO//Nd7ZjyJffh2+a29B\n6T0ILTjMnzPD1XYkiSiDpULDsVfBXKUgu/fjbliMIJoRQ3q0qwfcWY7/kt5Z4+PhNbU8sbmRQ81t\nPzc5YSZ+c0kIL18WwcRUe6ciVzRV46tHv6RkTbGuvP8dAxnzm8tbL/oLAmpyJr4rpqBGxSIW5baK\nthHrazB/swih4jBqj75g64JhrAPCLCLDYy3c3dPBVck2ZBXy6n1tSmQdblb4qMDFl8VuIqwCOaf4\nDJ2LdDSQswRbUcdm8VJ14BkQVJWrX19J854j9Lg2G8HQ172g6epAXxAEnLLGqjJPS1lZs8I9vYIu\nWOOfgR7DcGFwlPNlPvObl5ezJiyjZVvQVP7q3s09D14DgNpcjGf7b1GOrGi9IC/ZsWQ/gKXXIySn\nj2HrjuW4cOE4Zh4iKyE0C4VER6QSE57Y6vyCOQQprA9HzD14a8d2qrwa0WYFm6gfmIio9A/dw0hb\nIUsb+uESA04uZbZwvjhQw+DaMlKy4rt0/ZqmoVStw7PrSdQjKxC1tiWhGmWRPJeVTY0OSoLHkDH8\ncYLSp2NOuRFz6jQsaTdjSb8VS/pMTIkTEYPTQbSgeWrazYdhzish4cstSF6985JmseGdehe103/K\n3Ie+pb5Y7ywUmR3FTXNvITL7FBehTGbUngPwXXGDPy9HYZ4/9933CKqCadtahNJif/6CdmSABFEg\n7fIMgt3lFG6qhmPMTxWVJko3HibzqixMNr9BS1M1Fv7oc5yVgQTPicOTGffElaf8XVlXV8eXX35J\nQ0Nrua0RI0aQnNy+fHKnUGRsLz2hk/OSR1/lj5Q+DjUtB2nTav4WMZZ9QUkt5fcPDiettJraLTUo\neT6kLBOCPTDW9Pl8HDhwgPj4eEJCQrpt0dFkMlFeXk5jY8DJyuFwtCQSV3r0w/zNQgSvf8wjqApi\nRRnyqCvbPN6pkOiQeGFXU0t2kBqPys2ZDiJthhMRGAvTBh1jPB8GXeVszGcMqaiLkJqmZmZ+spN1\ncmuvG1FTmRRUzMuThxBi71qSUJ+zlvlv/oRdx2ne22WVMbUJjNq8kwir3/vh7QHDqA7VhwGbzGVM\nDN5K6NiXccTGoyoqrionPpcPn0tGccvIbh+yW8bnklFlFbPdhNlhwewwYw4yY7b7f1uCrWgmkTf3\nN/P01gZqPW0/JukhEj/pF8xtPRw4TG0PZtblF/L39Yf5xp2ER2hfvzVbK+Oh0AXcErmxpUxwpGDr\n9xvE4Ax8qsbBBpn99TK5dTLFTTLVbpVar0qtW6XG4//xKSpTKzfym6JPGdRc3O75qqxhLM24nPW9\nJ+CJTyXGJpIYJJETZiY7zNTK498ta3xZ7GJOnt87vqN/nOQgiR/0DmJWTlCHkQOt0DRMq77E+v5L\nCG5Xq92+URPwzHqkfe8aVUU8sAvTuuWYNqxEbKxru973KEHg7GnC3T8Jy6BHkSIHd1i/I46GRZri\nMnhmawMfFbjavUfXJFv5QZ9gxiVau7w4v+7Zb1n/3FpdWfr4TG547cbOeeV7PZi//hjLZ++0eY81\nmx3vlNn4rr6pQ73hk6XOo/L+ASdv7G8mt759DeceoSYeHRDMrVmOCyYh3olCZ5/cXM8/dwSkGbLy\ny7jznZUA5EzuxTXPTkJs5z1jcP5zMqHV5U6FvvPKUY552Sy9PoahMUbUxcWAIRVlcJTzYT7z3eKt\nXF8arYtg+EHlVv7yi+sBUF1luDf/rM3cblLUMCw9f4JoCzhDrdyyiGXbPiBJGYZE4J0Xas+jzCby\n0NQ/Ufv92LjRp5LokEgKkqisL+W1RU/j8vgXskU0Bga7uDzSiw1Pq3MX+mK4q/Rh8tAbQoJlF89Z\nSpg++4pOXb/aVIgn96U2pa8ANHM429wxbDhSQ60sceyCfKgjgqlj7qNHYr8Oz6FpCmrjAZTqTShV\n61Ab/d8rtgMyod/JCMc9Jb5BQ/He+Qt8wZHMn/khZZsO6/Ynj0zh+v9OwRrWtTldZxDqqrHM+y/m\nb79qtU+NScT90O9RM3u13VjTsP9/9s4zMIpybcPXzPbd9E6AkBBI6L1Ik94FRRS7x97Rz+Ox92M9\n9qPYe0ewICKConSQltACJKGF9N63Tvl+RLKZbBISmujZ6w/MO+/Mzm5mZ5/nfcr92I0cSSnjm7SB\nuGStvRqSEMrMD88nNCGUjB/28dNtSzT7L1lyBVG9T6zKuKKigiVLluBw+NrSAJdccgkBASeWpa9f\ntwzzu8/Wb6uiiP3ZT1Cjmw6ICLu2Er8xkHKD93XXdTpIXHJfPpv4IZ5aD5gFTOdb0HXWfmYGg4Gp\nU6fWB2H+jDYve/bsYf369fXbERERzJo1q35bv+YnzO//R3OM446nkAeMOOnXMnNZCWsaJIY8PSSY\nW3r6qy7A3wrIT8v47w8/bcWvcdEK/gqG/plEWm4+F/9cQja+AqDRahXP9Jc5v3/LRnVLSC4HSz68\nkW1m7b1rlBWGZwUzfn8GAQY3MvD60EnIBm37qWBrJv3K81n/1Uhq8mpRpJbLp1vCEWimNNBKZYiN\nymArlcE2KoJtlIfa6NAtnNv7h3BOnPmYIttHySkv56nf0lhaGUOlYGl2Xhc1n6sClhHfIZHtxslk\nVKlkVEocqJLwHOPtTCjbxQv7P6OXPafZOT+H9uaN9pNYFtZH01+4MdEWkaRgPUkhBpKC9fQMMzAg\nwoBVL5JdIzF/v53P99s5XN10NQGATS9wRZKV23sFHruNlMuJ6YPnMfz+q88u1RaE6x93Ig1tnXMI\ngCyh27sd/abf0G9ZjeCobXaqKoKjiw7nmJEYBt+JYGy7YPWufZl8kG3gszxDs3+nyR1MPDQwmN5h\nxxcQyFiyj59u1Tpf4ckRXPjNJZgC29bySigvwfjVWxg2rmhyv9yhM67r7kFJaMZpPEFUVWVdgZvX\ndlfzc47vQsFROgXoeGRgELMSLH/5CoyWDDlFVemzsFBTnTPru43023G4frvbrB5MfHGKv23U35Tj\nNfQvWVHKT9nO+u1/JFn574jQFo7w83fBH7jwc5Qz3Z+RPRKT5m1iW0h8/Vico4S1FyUQHB6E6q7A\nse2fqI487YGGYExdb0IXPabJ7PgXP56LIgURonjPaxDd5Oi28JF6KyWNgg1BBgiSswlVcgmnkDAK\niaCAGYNmMqL7OKTcJXiyvgJJq+9QpVi4qfAmVru1Po5ekXhJTufKGya1+P6l0q24dj8FchOL3Doz\nhrgLMcTNRhWNbNq7gp+3LkBStJURAgKTB13E8J5TWlUpoKoqSlkKuq9fJGBDns/+mr46avtbMHS+\nipWvWNn37R7N/qSZ3Zj4whT0puZ9hZOBfv3PmD5+CcHl1IyrOj3uOTfgmXyhT+W6LmU9lv8+CEBJ\nrY2vdg2hwmnTzLFFB3D+Fxey+NrvqDzsTWRKmpHM1Hm+FQttwel08v333zdZaQFafYbjRpKw3ncl\nYrH3b+c5exqua+9p9pAdpW5GLy6u3w711JCX9hCu/3zMjgXprHr4Dx9LAMN4M4aztL6DwWCgd+/e\nBAUF/SmLjna7nc8//1wzdvHFF3vbbSkKlqduR7d/d/1+JSIa+9Mf17XLOom8nlbDg5u91UdjYk0s\nmtxGfcm/Kf6FaT8t4b8//LQVv8ZFK/irlFafCSzdvY/L1kgUCUGacUFVmWrNYvEF3enXsX0zR7cO\nUW+ga7/puLcuJVvn9cFkUSA72IXbGUl8VSVGUSG5OJuU2HgEwZtl5fKEI4SXEGYvoSD9xES0DG6J\noGoHUcVVdMwppev+fHqnHWHw1v10/zUN3YZDFKbmUXmkEskpYQw0YrA0vyAdZLFwTo84buxpQyre\nS3Y1TYqZlwmB/Obpz7elndhQVFdhUeJU6jU1mqKjs4R3973D04cWEOVp2oheHD6Af3S/mec7zSTD\n2k6T8dYUtZLKkRqZ1BIPK3JdfLHfziu7avjpiJOcWpmeoQbu6hPA+PYmSp0Kh5oIYHgU2Frs4b19\nNRTZFXqE6gky+r6uUJSH5fl/od+zzWef1Gcozn89V9fCqC2IImpULPKAEXgmzEKJbIdQXoxYWeYz\nVVDBUKpiTslC2f0dcoAM7fq0uoR8Za6Taze5WVOmb/LvdFaUkXdHh3JnnyCiLcfXkqpgRz4/XPc9\nquyNiljCLMyefxG2SFsLRzaDxYo86Gyk7v0RszIRq7QZjmJVOfrVSxFcTuSk3qA7uY6rIAh0CtRz\nYaKVqXFmKlwq6RW+FRiVbpXFWU6WZztJCNQT34Jg+ZlOS6WzGwrdvLXHG1wzi3DZ5j3I5d5FjpJ9\nxVTnVdF5Qhd/K6C/IcdbWm3TC3xzyHufHKiUuKGHDaPOf4/83fG3ivJzlDPdn3n99WV8HqxNhHjO\nmM3A4d1QJTvO7Q+g1mZp9uuiRmHp+290wd19fvMkReWXHBcrikOwuNYRqIE4lkcAACAASURBVLar\n179TVB2xJieqcoQ9DNAc51KgSg2miA4cpht7Gcg2RrPf0xFVMNClYx8COk4HUYdSlQlqnW1rEiTO\nDdhMpWJju9srTq0IIsvFCEI3bmDg4KYXaTx5y3DveRaUxvpyIvrYKZh6P4w+YiiCqEcQBDpGJtI9\nbgBHivdT49C2bdqft5saRyVd2vdGPIYdL6gq5kXfYlm1WTOuAtVn6bH3MgAKqZ+XsvMbbcZNh+Fx\nTH9rJnrjqbe5lLhEpMGj0WXs0tjogqqg370FMfsgUv8RXjtUVTG/9UT9XKvRQ7dJncgREqnO9fpA\nnlo36Yv3UVvgDUIJOoHpb52LJbT5BLJjXq+i8Msvv1BSUtLsnC5dutCx43HogTRAv2apphpF1elx\nzn0crM1n/S88aGdlnjcZaHLZDi7J/g0EgYiLppG9Mbv+M1IOSuiMeoQO3vtIURSKi4sJDQ2tb9F0\nOjEYDOTm5lJb67WHAwICiI7+ozpGEFASktGvXlIv1C3Y6+bKPQb4nO9ECDeJvLPXex25tTI39wzA\n5Let/K2A/LSI//7w01b8Ghet4Ew39M8U5q3ewj93B1PbaKE9Uq3mlX52Hpk4CJPh5LSVEUUdif3O\nQdy+nEOCdyFTFQSyIz3YS8JJclZgUyXaVeWzJzoBAe9icLkrmvg+GbgPmKktO/mlzVDXL9VeYqdk\nbzFH1hxm7zdpbHtrC3sW7qJoVxHOcgcGmwFziNnH2dKLOkYYNjDe+T7ZrlBy5Qjk49RXMMlu7sn+\ngS/3vEbf2myf/QoCi6OGcF2v23iz0zQKzKGaliJtRaVOlDulxMMPWU7e2lvLmnwXSSEGZne2EGPR\ncaBK8tEwkFVIKfHw7r5a8u0y3UMM9S2kdLs2Y3nhbsRGQoGqyYzrijtwX3ILWI5jYb4hegNKfBLS\nmBlIfYaCLCHmZ/uIeguAoVzGtHk7bP8ONTQMYro0e9pih8ydGyp4ZGsVVZKvIdszVM+8kaE8OjCI\njgHH7/zVFFTz7SULcFV5nRHRIHLux7OJ7N6yhsyxUCNikEZPRw0MQbc/TSOYKKCiy9yNfvMq5Lgu\nqBEnLt7dFDFWHeclWJjd2UKtR2VvuYfGRSsFDoX5B+xsLXbTI9RA1HEGgP5MWjLkXtxRzY5S76LG\nufEW7r62JweWZ+Ku9v5NSvYUU1tiJ2FcZ3/w4m/G8Rr6CYF6PsmopeaPB69bqRvrG+5vF/V3xx+4\n8HOUM9mfyc7M44YcG06d95k0qWQPj986AVXx4Nz5OEplmuYYXfRYTD3vRdBrF5j3lnt4dXcNt64r\n56MMO+muMHqzH4NQiVn1VssqSiCisIftDMbDsStS8+wKy7KdvL2nloxqgdDo/iQkjketzkR11WWw\ni4LKOMsuwsQaVjp7cbSVkyoIrNBHYlu7nqFDvcELVVXxHPoUz/53oVHzUF3YQMy9H8YQOwVB76sr\nFmAJYkCXs1FVhSPFmdprLT1MTvFBunXsj17XjO8leTC98wzG1T9qhhWdjrLxsbgT6uzJwymRrPuo\nOw3bUoUkhDLrswsw2k7jb0hAMNLIyeCoRXdwn2aXmH8EXcYupIGjwGBEl7oe4/KvNXPk2x8h6crh\nVOdUUbLPW3EgO7UJMb0u7UuPC9qYCNWIjRs3cuDAAc2YXq9HaaDJN2DAAIKDTyCBzuPGPO9RTbW4\nNHYG0vCJLR720o5qDjTQY7w5bwVDqg8gHtqLNGwC7UYns3v+TtQ/nEHpoIewpHDcAV7782jwIi4u\nDqv15GjetQW3201OjrdzgMfjITk5uX5bDQ5DqK1Gd8BbISQe2IM0dBwEaJMrT4Qws8jCg/b6dtGK\nCv3DjSSHnPw2un81/AvTflrCf3/4aSv+wEUrOJMN/TOFOxat55W8DkiNFteThCJ+Oq8Dwzp3Oqmv\n56pysf+nDPJXhNBR3kNuaIOMIkEgp4OCszicJFcFYW4nek8FR8LiEP4wugVE8uyxDBmRSsnu9pjD\nggmIDiCwfRDBnUIJ6xJGRLcIIrpFENQxGEuUjVKTkXKdHo9ehyII6CSZ41kSdFe7KdlXzKEVB9jx\ncSq7v9hJ4c4C7CV2jDYjlUYdn274iYf2hvNk5cUcVGLbFLQINagMiTYzqYOZ+0jjjU3PMTV/EwZV\nuwCvCgLSsAm4bnmEhNkXcvngjtzVN5C7+wbxzz6BXNPNxkWJFmZ0sjCuvZmzooz0DjMQZRERBah0\nt1zh0ZBaSWVvhcSafDdp5RLdQvUkBeupcSs4GhVhKCpsL/Xw3t5asmtk+qYsJfrDp+uF1o4it4/H\ncd8rKL0H+5SHnxCCgBoWiTxwFJ5x56IGhyLmHmhS60Ff4cL4+zqElKWo7TqjRnrbDSiqyqeZdi79\ntZRtJY0z6KCdVeSlYSG8MCyErsGGE1pg9jg8LLriayoOaSsiJjw3mcSJzQdV2oQooiR2x3P2NITK\nMnTZWodMqK3CsPYnqK5ATuoDJylI2Zhws47pnSxc3MWKW4Fdpb4BjIPVMh+m13K4WqJfuKHJCp4z\nleYMOZescuu6clwNvi+PDQqmZ8cAOk/swv5lmbhrvMGLol2FyG6ZuJEn99nr58/leA19URAocyls\nLPTeI2UuhSuSTjDg6+eMxx+48HOUM9mfueu9daQEebPPrbKLT0aEEhYTgmvvCyglv2vm68IGYOr1\nAEKDdqZVboW568r558ZKNhe5qW2QIVNKNAnCagLVmEZVFw5kSpEDe2GWi3EqOhRaTiKRVEgrl5h/\nwMGXWTpqw8bTNzIAffVu+MMi6W86RCd9Mcsd/VGPeguCwEpTDPqVaxg+LAlV8eDe9xJSzuJGryBg\n7HoTpuRbEYwtt/QTRZHE2J50jOrCviOpyIp3Eb6suoj07O0kd+iL2dhocVlVMb3/HIaNv2iHLTYO\nXDSXkp6ziejQh6Ltmfz8ck8UyeuHGK0eznmikuDkgQi6U5P81Sw6PXLfs5A7dka/e4smkUYsLUS3\nazPygBGYPnoJsaK0fp80eDSeiecj6kUSJ3WhMruSkr3FPqcXjTrOeedcjAHHH5DZt28fW7du1YyF\nh4drKgREUWTkyJGI4vHbp4aVizFs+q1+WzUYcN72eIuJXB5F5a6NlbgbGM7PHvySKE8VgqIglhdj\nmFKnlZa9zquBWJtSTZdzkql0eat7FEXh0KFDxMXFYbEcf3XK8WC1Wtm929sKqra2lu7du2No4HvI\nXXuiX7e83n8TVAWxoqRtLYVbQVaNxJZir59nNQhMjzu9n8eZiH9h2k9L+O8PP23FL87dCs70nrB/\nJi63h4sXbmGl23dxbJThCAvmDMRiPDnZOJJTYv/SDDKW7OPI2ixkt3cFL/GinWzuXrcY35AxG3TM\ndB5EEOCHrt3ZH60tEVWEGs427ib5sncQdU0HB1KK3Vy/pkyTnQIgygrD9B7ujIH2dgeHdx7CUeRA\nrBEozSylJq+61e/NbdCR1jOOXb07cTAhGvUEDFlRVThbd5i3i38hcdeaJufICd1wXXEHSmL3434d\nj6KSVS2RXiGRWSmxp8LDtmK3z+d0LKw6AQSwNy7B+AODInFT3goeyFpEpKfuM/UMHoPrunvAfJqy\nfCQJ3e+/YPz+XXRFvm2kjuLp0RPPRXdwMLwzt6wtZ0ODRcKjCKhc1z2AhwcEnZQFdVVV+em2JWQu\nSdeMD7hhEKMeHHPC528O3Y7fMX30ImKZr+OnhEfjuvYe5J4DT9nrH+VApcQTKVUsOty08KFVL3B3\n30Bu7Rnwl2iL01zPzx+yHFzxm/feCzeJ7Ls4pl6UvPxQOd/MmU9tkVanZcT9ZzPopiGn+Kr9nC5O\npCfswSqJAd8UasY2zYryZwb+zfFrXPg5ypnqzyz/egMXVWv9iH+VpvLgXdNxZ76NlLNIs08M7Iq5\n/3OaSouUYjfXrC5rUVPtevU9olQPIYr3tQyim3xdKjHtkjiYn4aqClQTTCkxENwPY+hg9lbI7G2i\nTWVDLDqBR7uVcrnyOoL9cP34ktqB3FpyA1KjYMi/yrdy19iNKOXbtScSjZh63IM+amSLr9cUheU5\nfLbiZSpqte2JAszBXDbh/+gQ4W1fZVg6H9NXb2nmKcFhOP/1HOl/ZI/HBscyf+Yn1OR77QpBVJhy\nVyrte5SDIQRzz3vQhZ3c9jutRSjOx/zKA+hyDmnGlZAIxArtZ2B/6gOUDg3ad0kKS2/9gQPLtJUq\n5lALV/x6Ndbw4/Mv8vPzWbp0qaaywmaz0b17d00wIzY2lunTpx/XawDgdmG9+1JNcMY9aTbuy+a2\neNiWIjcTf/Ta7RE6ifxf/6FJxHPc9zKern356tzPKdrttRmsUTZ6vNiHPelanROLxcI555xDSEjb\ntf9OhO+++07TimvEiBH06NFDM0e/4RfMbz+lGbM/NA+l6/FrbTZmdZ6Tc5d7/w6RZpH0i2P+8pp7\nJ4pfw8BPS/jvDz9txS/O3QrOVEP/z6a81s70hXvZo8ZoxgVV5bLQw/x35jB0zQQD2oKjzM7OT7ez\n4+NUHKVNL04CdJ6+l5SBbqRGorQT1opMl+qM2g/7DqUiUJuBLuiLGW3S0fXSezXjsqLy8q4ank2t\n8mlrpBfg/v5B/F/vgHrh7cYPYGeFg+I9xZTsLaZ4TxEle4opzSxBaaDKXBVoYfOQrmwd1AWH5dhl\n6l2D9YyKMTEyxkhufiYfZ6jsJ7LJuVbZye05y7j7yBKC/xD6UwODcV14A9KoqXACwZGWKHHKbCly\ns7nIzeZiNynFHhyt7D0lgk/2/FECJQf/yv6Rm4e2wzjNV4TvtKAoiFuWYfjuLQz5TeuEACyKGsJD\nnS5gn02r59LVpvBgFzfnDUg8aZe07e0trHt6tWYsYXxnznn3vFMv0OyoxfTVWxhW/tDkbveUObgv\nuA4Mp76VwNZiN49sqWwyWAR1350XzgpmdOxpzg5sI80Zclf8VsoPWV5Ryuu723j+LK2TWJZZysIL\n5+Ms1z4nxz87iV6X9DlFV+zndHKihv6Mn4pZW+D9jtzWM4Anh5yY1pOfMxt/4OL0k5yc3BqjJyE9\nPf3wCZwjND09veIYczScif6Ms9bJmPd3si/Qay8l1+Sx6qpe6Mp+wHPgA818wdIey8AXEYx1v3+K\nqvL67hoe3+ZrqwMEGgRmJVi4tIsVU8VOFq1/m1h5IGKDQEKQJYM0Tymq4A16dIpO4sqJ/8Kor7PN\nD1dLfLHfzpf77WTXNB8ciTHJfJy4lF6133O09dPP9r7cWHwzbrRB4ruCv+fO4MVec9YQjLnPo+iC\ntYuvbaHGUcnnv75CTslBzbhBZ+SCs2+kR6dB6Hb8jvnl++v7/wMoUbE47nkRNbIdmZmZyG6ZHQ9u\noyA1X3OeEVfupfvY3AYjIvqY8Qi2OFRXKaq7DNVVhqAzIpiiEMyRCKZIRHNk/f8F3bH9nda/4Sos\nLz+gEWJujNRvOM47n/YZX/v0KlLe3uozHtEjktlfzsEc0ras+erqahYtWoTT6bXV9Ho9M2bMICUl\nhawsrz7LkCFD6Nu3b5vO3xDDsoWYvny9fls1mrA//wVqSMvZyy/trObf27z+y/nxZr5c8xC6g3vr\nx+SEbjgefZPivcXMn/EZiuT1zPpdOwDDBDNpadq2bTabjfPOO++0to1KTU3VBIPat2/PtGnTtJMU\nBcvjN6E7nFE/JHfpieOheSfNj3TLKolf5lPt8X6ffjsnkgGR/9utOP0L035awn9/+Gkr/sBFKzgT\nDf0/G7vbxYQvdvsELYyqxH0Jhfxz7Iln+JYfLCP1/W3sWZiG7Go50yk4PoSk6cmEdE7hu4qtOPXa\nBdtJawSmyoeRgTeGTEAyavvwW82HGJ8wlpiRdX1BC+wyV68q07TVOEqXID3vnB3qY5C05gEsuSQK\ndxSwZkshn1aKbIqKQD7G4nLHI8X03pVFj4wcevWLJmlGNxInd8UUVGf4v7l2K/P2W8il6UyXSHcl\njx3+hsuSA+CCa09qb8/W4FFUUkvcdQKJuU5Sm2ib1BaiLSL39gviiiRrfbb5aUdVUTd9gfGHTzDl\nuJqcIiPwacwo/h1/PiUBUdzfP5AJxgL0wsn7kc75PZtvL11Q34cWIDw5ggu/uQRT4El0DI+Bbm8q\npvefRyzO89knd0zEddNDKB0STvl1qKrK8hwnj22tYl8z2ZHnJ1h4cnAwsbYzU/+iqedIhUshaX6+\nprT/l+mRDI7ydYoKdxbw7SULNG2jEGDqvHNIOqebz3w/fy1O1NBfcMDODWu8LeXCTSJ7L4r5S1Qj\n+Tk+/IGL009ycvIFLex+BgimLnBR29ykPwIXe4BHm5nyfXp6epsMqjPRn3n6hR94LlybsT8/4DAT\nzvbgSntWMy4YQzEPfBnRUud7FDtkbl5bzopcXzusR4ie/+sTyDmdzFgb+ASvfXYXTpdFU3WhF90U\nCtupFet+N9uFdeKaKff5tleiLlCyNt/F55l2Fmc5cDYTw5gZeoCXQ9/CLNdVSq529OSa4ltxqlrb\n7PagJdwb+h2y2B5n8D+pzDdQdaQCBAFzqBlLqAVzqOWPf82Ygs3HTEpxSy6+WfsOe7K0i/KCIHBp\n0kwGfvy+RhdBtQZgf/RN1Ji6Vl2ZmZnsenE72T9phdD7XJrA0Bk/oDq1enNtRbDFoY8Yhi5iGGJQ\nEsIxBMSPicuBed5j6HduanK3476Xkbv314zVFNbw8dnvITmbthWjekdz/ucXYgpuXbKLx+Nh8eLF\n9e1PjjJ+/Hji4+P55JNP8Hi8X9fzzz//+FukOO1Y774Mscr7W+6eehHui28+5qHnLS9hVQNh7peH\nhXCt/jDWJ27VzHPc9hjy4DFseH4dW+Z527QJOoFLf7qSTfs3k5entfmjoqKYPn06ev2pF2sHqKio\nYOHChd5rEwQuv/xyzGbt30y3NxXLs3dqxhy3PY48ePRJu5Z/rCzl+8PegNU9/QJ5oP/p9bfPNPwL\n035awn9/+Gkr/sBFKzgTDf0/E5fbw+QvU9muaLPJg1QH8wa6mdn3+DOFAHK35JDyzlYO/rK/sU6d\nhqPBiq7Tk4noEVmvEVCQsohPt35NlVG7MDltFUxUs6jR63lnyFQEUWtQRNnSGDfy/zhoi+XSFWXk\n2n29kauTrTw5OBibwdfIPtYDWFVVVuS6eD2tRmM0NkVMQTm9dmXRe3cWIZV2n/06o474sQkkzehG\nwoREdFl7WfTFIp6Kmc4BS0wTZ4QYtZI7kxzcOPLUt+9piSKHzK+5LlbkOPk110mF+/i+Xl2C9Dw2\nKIjpcb7i5qcLVapF+e0Z5J+3EVbcdDWQS2egauIcLLMuIzO7LkvtZPxI1xTW8OX0T7AXe+8PU5CJ\nS368guC401uuDYDLgfGbDzD8/LUmiw/q+u6659yEZ8KsU1bp0xBJUfk0w87j2yqbvL8C9AL39g/k\nph4Bf17wqxmaeo58nF7LHRu8ibUJgTpSZkc3e9/nbDzCon98g9xAEEM0iMx4bxbxY059AMnPqeNE\nDX2HpNLtq3wqG3wvPh4bxrnx/n7Mf1f8gYszh+Tk5POA74Cr0tPTPz7GXBVYnZ6ePuZkvf6Z5s9k\npB5g7Fao1XsXGmcV7eSDO4dj//06kBq0XNVZMQ94Hl1gXcXqqjwnN64pp9DhW6d7fTcbTwwOxqz3\nvfWzig7z0ZKniZH7N1F1UYLVEsBt5z5JgOXYlWiVboWv9tt5YWc1RU1cR5Sugi/bvUE3XZ0m2EZn\nElcW3YFd1S6sTl23jbNWZPgc3yQChHUJJ25kJzqO6kSHoR2b1GNQVIVfti1k3e6l9WNWj8yd2wqI\ncHgX61VBxHnXf5B7D64fW//ZOrY+qNUU6dDfw6Tb1iOKLSeStRXBGIYusi6IoQvtiyAeZ+tCScL0\n3rMYNq7QDKuCgPPOZ5D7nqUZ/+3BX9j12Y76bdEgairiAToMj+O8T2ajM7Sc6KKqKitWrODw4cOa\n8QEDBjBw4EDy8/NZsmRJ/bjFYuGyyy47bt/FsORzTAvf9b6+yUztC/MhqGXb3yWrxH+er6mC33Z+\nNInBesyvPYJ+q7e9sBLTEftTHyJJKp+M/5DqHG+VRofhcfR6rC8ZGRkUFGiDWImJiYwdO/a0+WUL\nFy6kosJrH48ePZqkpCSfeeaXH0C/fUP9thLdHvvTH4H+5LTK/DyzllvXea+jX7iBVTOjTsq5/6r4\nF6b9tIT//vDTVk6HP+MX5/4b4ZElZsxPYZvcQTMepVaxaFIAZycdfwucisPl/HzXMjY8u5byA03r\nCBgDjPS5sh/jnpzI8LtHEjeyE7Yom8ZACmjXje6BkRzI3Iy9QZZVZjyYDgaRrFYQV5bHrnYJCA2c\nlhpPJNX533LFnl4UebSLq+EmkffHhDK3V2CzmaktiQxtKnRxzapyXtlV02z/3RCxhqstv/J/xT8w\nPSOXyN1OdOW+QQsAVVYpP1DGwZ/2YVv+OYk7Pqdf5SFuzPuVGHcFKYEJ1DYSzKsRzKwoC2DxjkwS\nLQ7iI8KaPPepxmYQ6R1m4Nx4C7f1CmBEjAmzDo6UO3CorV/ULnMpfHvIwaYiN33DDURaTn8GvYKB\nl2uHcJ48kY1BSXSrzSXWre3coFcVbPt3oV+3DI/JiiO6PeHhESf0urJHZvHV31G+X/s9mf7mTGL6\nxzZz1ClGb0DuPQQluS+6PamabD5BUdDv2ox4cA9yj4GnXJtEFAT6Rxi5IslKhVthR6k2KdWtwMo8\nFz9lOxkYaSDGeuZUXzT1HHlgcyXZtd7nxo09AhjVrvkswKCOwUR0jyLzx/T64K+qqBxYlkmHszoS\n2P5/Owvsr8yJitkZRIE8u0xKg8q3Go/CnMTT197Bz+nFL859ZpCcnBwI/AjsSE9P/79jzZ83b95j\nQNbcuXM/OlnXcKb5M/d+sokdDVpEhXhq+XRKR8xln6NUNeijLxgw9/03uuA6XbY302q4YU05NY16\nQ4UYBd4bHcZtvQLRN5OUEGILYW/6RqqlGsyqd6FXlgORKGHG6GtpH9G6AL9ZJzAw0sjVyTZMOoHU\nEg8N175rVTNfVZ1FrL6M7roc2AsRW6rYFJ2ErPfaHfvjYrHYXXTIbV5DrSGOMgcF2/PJ+H4fKe9s\n4ci6LGryq9EZdXU+kSggCAJdYnsRZA0lM2cngqJw7a5iOtZoK8ndl92KNHxi/bar0snym5YiNwhu\nBMfUMvXOjeiNbdOwaxWyA6U6E7nwNzzZ36M68hFtcQiGwLadRxSRu/fHsGwhgur9IwiAfutqlK69\nUSPbAXWaYCvuXqZJjhv18Bhkl0xVgwX6quxKaotqSZiQ2OJCfFpamkYoGiAhIYERI0YgCAL79u3T\nLPDHx8eTkHCcSSQuB5Z5jyF4vAlwnmkXI/cffsxDNxW5+TjD61fGWkUeGhCEIAjIHTtj+G0xwh8f\nilBThRIWAV17ENg+SKOjV5VdSWB8EJ0GxCPLMlVV3s+svLwcURRp167d8b2/NuJwOJoMnjRG7tQF\nw8rF9YlVQm01alDoCWk9NiTGqmPe7pr67QKHwlXJNgKaSHT8X8EvvuynJfz3h5+2cjr8mf/dJ/bf\nDFmWmf3lZjZJ2qBFuFrDt5OD6dOhfTNHtoy7xs26Z9fw2cSPOLTiQJNzAmIDGfXQGK75/UbOfngs\nkT2jWjQiw5JGce3MB+ng0C5YLh4jsFbuQPvaGiZkrEXFa4QLCBy29+Zl9TXNMWNjTWw4L4ppcW3P\nSD1QKXHFb6VMXlrC5uKme+8n6At4OuxTtrS/m4civ2bSjO5MeucerttyMxctvowhdwwjPNl3oTvQ\n5ODK/hsY3j693tA0qjI3561g1/4XuEhMw6D6ZkbtUWM4f72R2V+s50hp65ykU4VeFBgda+L1qp/J\nXXkNS3b+hysL1hAkNR2waYpVeS5Gfl/EPb9XUOFqTiHj5FPkkDl3eQlPplQhI/JzWB+GDnySC3ve\nwUGbr+6IWFFKpx8+JPmDpxEzdp7Qa69/Zg35W3M1Y0NuP4uE8SdPO+N4kbv3x/7k+3iGjvPZp9+1\nBeuDV6NrkPV0Kgk363h1RCi/TI+kT5hvVtXuMg/jfijmyW1VuFqpw3K6ya6RfHQ75nQ+9iJz5wmJ\nTHphqmZMckp8f823FO8pOqnX6OevxRVdtffPr7kusmtObhatHz9+fHgYiAVuPdbExiQnJwvJycm2\nk39Jfx65+/P4IVzbvvD/7JnExlQh5S/TjBsSLkcXWqcH8O1BO/dvrvQpyB4WbWTtuVGc0+nYtvol\n0+/GKZSg4H3uSaqRTqZgAi2hbX4vAYa6FqapF0RzXTcbDQs9rGUuFi8YxEd3jeXnV/pj+FXhH5+s\nxOTS+ic/TRtEar+2L2YrkkLe5hx+f2k9C2Z9wYcj3mXrm5twVtRVAQ9KGsOc0bcwa38FSRVOzbF5\nffvhmThbM7b6seW4Sr3zBFFhzPVpGK1NBC0MISA00RZIH4gh8TqMSbdgiLsQXdRoxOAeCKYoWlwW\nkO1I+ctw/H4dzrTnUGqPtPpzADCsW4Yg+/6WCR4P5lceQDxQp+Pw+0vrNS1WgzuF0OeKfsz4YBbt\nBmiTf9Lm7yLlHV8djKNUVFSwefNmzVhYWBijR4+u91Nzc7X2eocOWj+6LRjW/IRQ6w0UqBYb7ilz\nWnXs2nxttf+odqb6a1RjOyGdrdWHMC76GFwOEid3IW5UJ82+vW+lobgUxo0b5yPKvXXrVg4d0gqm\nnyri4+M12zk5OZqWXEdRYzshjdaKoRsXfQT2Gp+5x0OURceACK2f8XOOs5nZfvz48ePnTMTfKupv\ngCzLXLLgd352xmvGQ1Q7X48zMyi+Y5vPqSoqe79NY/2za7EXN93mN6pXNP2vH0TX6UnHLNVtCmdF\nPgu+uItMawNjQla56FeJswx5rOyUQGrHYQh4vQwFN4q7lPut13Jzj7py8+YytxrSsOStxCnzn+3V\nfLivtkmxQIChpkxuDFrGRMsORKFukqHzVRjjL25yfkl6MZk/pJO+7b8NFAAAIABJREFUeB+BFQeZ\n3XMrAUbfYMiWnHhWHu5B+1GJmCbH8aJbZovS9N/Hprq4IqqAJ6YOwaA7PT1JNSgKxvlvYly+UDPs\nEvQsOe8+Pg7sz/JsJ61dUw4ziTw4IJCrkmz1oumngtQSN5f/2nQ7sesSarhfeJqQfbkEpEromtGT\n9wwZi/vim1DDo5ue0AwZS/bx061LNGNxZ8dz7kfnn3ox7jai3/ALpk9e0VRfHMU97WLcs6+D09QL\nV1ZUPkiv5YmUKqqaaB+VHKzn9VGhDPqTxfQal86+vLOaxxsIKQ6KNLDinNaXn+/4OJVVj/yqGbNF\n2Zjz7aUEdfSLMv/VOFml1WMWF7G9QSXSff0Cue9/vB/z3xV/q6g/n+Tk5CjgELAgPT396lYeowJp\nQApwPmADqoFFwP3p6em5LRzeJM35M0efK6eTTxbu4rV2Q+u34xwlfHW2gZjylzB6curHPfpoimPu\nA0HPjiqRW3aZcKveW1pA5dqOEtfGeWiiM1STSLKH735/G4McqNG60Alu7MZDTB524wm9tyMOgY/X\n1xK8cBddDjStB3G4UySfXT4Gj8FrAwmKwjUrNzIqTIegE3BXufFUuev+raz7V6ptXZBZNOnoMLEj\n8bM606kkhbifPtPsPxhs4o1+0QxInEL32MGgeqhauYJ1T2v9ir7TDzH4Am9SmUcfjdPaH4elP5Kh\nHaJSRVjx2xg92ZrjVMFAWfjVuCy9NeOCYsfsSMPs2InJuRdRbb51roqA09KP6qDJSMZjJMcpCj3e\neBBTRUmzUySLjR0TbmHZv/Zqqi36PTiQ2LF1wQRXhYsNt63BUdAggUqAAY8NIWaEtopAURRSU1Op\nrva2NNPpdAwePLheZ8Hj8bB+/XrNccOGDcNkOg4dOkWmxxsPad5jwYhp5I+d1arDb9hpIrXK60s/\n0tXFjGivH2OoKqfHGw8iSl7bIG/MeRSOnE7NkWrWXr9SE/BJvDSJ5Gu6Y7fbSUlJQZK896YoivTv\n35/AwDZWzrQRVVXZtGmTRhC9R48eREX52sn6mkp6vP4gugbVKgXDp5I/7vyTci3vHdHz9hGvDzEm\nTOL5Hk0nLfrx48ePn6Zpzsf1t4pqBWdaafWfwbVfb+BHhzYTKFB18tlIgWGJ8W0+X8H2fJbevJid\nH2/HY/fNjGg3IJZJL05l+L2jiOweedwLsnpzID17T6Fm6xLyj3o0okBavEhEppURNdnk21QqrV5d\nCAEd6HVcHFrC7RMHI7ayT2dZWRluBT7LM3LVyjph76by/6dEO/hv0AvcEbyYLoYCjp7ekHgtxviL\nmj2/NcJGx+FxDOqUzcDibzE16jNb4zLxzZ6BbM1NQFEEKg5XULoii/5ppQyLdXPYpqdS1GbaegQ9\nW+0hfLUjm2iK6d7uNPbjlDyY3n4a4+ofNcOqTo90w/10njiB2Z2tXJlkI9wsklUjHVMPwyGr/Jzj\nYkmWne6hBjoGnPxF8fn77Vz+Wynlja4l3CTy4dhQbukbg6X9RDwB5dTGHkEFDCUqQqNL1+UexrBy\nCeh0KJ27t0r7oSyzlMXXfKfpwxsQG8isTy/AaPtzF9ybQumYiHTWeHSHMxBLCzX7dJm70e3Zhtxr\nMFhPfSKpKNS1dLi8q5V8u8yecu33p9Sl8FmmnWq3ylnRxj9N+6Jh6ayqqty5sYISp/fvfUfvwDYF\nV2L6tUPUCeRs9C4qeGo9ZK0+TNKMZAyWk9Pf18/p4WSVVisqLG+QDXi4WubG7rZW/975+evgbxX1\n5zNv3rzHgVHAnLlz57aq1PWPVlGRwE7gKeAbQAGuBC6cN2/ep3Pnzm19eSrN+zONBYVPNW63h38X\nhlBt8NqkV5fuZHhCJja7VluhPPxqZEMU2Q6BW3absSveZ5ReUHm5p4tZMTJt+clOyVpJftV+UGWs\naiTCH1UAKjrCDOUERXTFqD+OhWVA8SgUzU/H8vYWwkqbz+aOtxUxNDKDtSE9UI6KUwsCu+JjGRFU\nxKBLehEzMpb24zsSNy2e+PMTSbwkifjzEwnpHoohyICnxoOnuml9dlVWqcyoQFqVwqiapTR8tJeZ\ndLzZLxqXXiSv4gAWpYTOJd+x6tlAPE6v3RzavoaxN+5GNkVjDxhFZciF1ARPw21OQtEFgiCgimYc\n1kHopQIMktfOE1Cw2FORDO2QDA209wQDkrE9TusAagLH4jYmoApGdHIFoqpd5BUAg1SArXYdek8O\nkj4GRdd0gD04PZXIlAYaDTo9BaOmE5jl1Q4RJQ8hGdvZVxCFU6qzowITg+h5a5/6ygO9WU/EwEjy\nfs3R2NpFvxcQOTgKc7i3TeeRI0coLNTatsnJyZoKhNLSUoqLi+u3bTYbcXFxTb6HYxGydxsRqWs1\n7/HwrOtRjMcWEHfK8NxBI0qDRL27OnsIbOAmKSYLOreTgOz99WPW/CxK+o/CEBGIZJeo2ON9VlTu\nK6fd2PbYwm0EBgZSVOSt5lVVlbKyMqKiok6pWLcgCDidTk27KqDJwIViNCMoMoFZ3rZX1vwsynqf\nhXISWthadSrfFXht6kKXwGXtJZrpMO3Hjx8/fpqgOR/3dPgz/oqLvzi3fLuOLyq1QQur6uL9IR6m\n9kpu07lkj8zvL61n65ubmxTetkUHMPL+s0k+r/tJFfZSZJnVn9zCb0KD8mdJ5fIVbgaYCvhw4FAq\nLF20x4iVnDdmCtGJvZo9r6oqoMqgyixOPcCLB3TkOOuyhGoVE2708IeRODDCwKNdcxiY/wg0auFk\n7HIDhrhjZHxIHkyfvYph5Q8+u/L0nVm4IYkae/PGoWAQOXBOEt/3TKZC72ugCarKCGM2r03pSkLE\niWkwHBPJg/n1x9CnaLOQVLMV5+1PIPf0FRBXVJW1+W4+zaxl8WEH7lZ0hbqki4UnBwcTbj5xDQNJ\nUXlkayVvpPlWD4yKMfLu6DAfrQSpcDWu9FcRy6sJ3CZhzmr6ouXYeFz/uBOlW99mX99d42b+zM80\n+i86o44LFl5MTL/T00v2uFFkDD/Ox/jt+wiK9jNQbUE4b7gfud+w03pJS484+OeGCgqaENTsHKjj\njVGhnBV9fAsXJ0LDjPqdpW7OXux1eHUC7Lsops16LqqqsuaJVWx/f5tmPKZ/O87/4kIM1jMv6OWn\naU5WxUWlW6Hb/AKNSOe3k8IZ1/7YCyB+/lr4Ky7+XJKTk0OBHGBFenr6uW04bgpQnJ6evq3R+JPA\ng8Cz6enp97flWs4Uf+azd3/hNn2P+m2L7CJljExQ3n0geW0sXdRozL3up8wpM/HHYg5Uaatc3xgZ\nwqVd25b4kFWYwfs/PY2KikGxYVHDGlVdeBCDirhqzmNtfl+Fuwr45V/LKN3XdNa/3iTReUghS/sM\nYFbPTQy17GepfQA3Fd+EjPd33SS7eY81TB4nosoOkB2okr3uX9mJYAhCtMQiWNtRUx5KTopM9sZS\nDv16EMnp9S/0osx1g9YQbvV+ppLewKsDYsi2aZNluiyJpmKLd7FXEBXOfTKb9lP+gS5s4DF9MlVV\n8Bz4EM8RbQU1goipxz3oo8cc43gZuXAN7qwvUZtrESWIGDpegCHhMgSd1j6zPHU7ugZtWD1nT8N1\n7T0Yv3kf4+JPNXPLHVY+TR1GtdvCtDdm0HW6ry97ZF0Wi678WlNhYIsO4KLvLyOwXSClpaUsWrQI\npYFN26lTJyZOnKj5rFavXk1Ghjd40qdPH4YO9VYatRpVxfL4TegOeRfdPaOn47rm7lYdvirPyXnL\nS+u34wN1bL8gxndibTW2uy9FqPVWkbinzMF9yS24ql18Ou4Daou891PC+M7M/KDOf927dy/r1q3T\nnC4qKorp06ef0uBFYWEhixcvrt82GAxcfvnlTb+my4H1nssRK7yfhWf4JFw3PnDC16GqKj0WFJBv\n994T/8t2lV982U9L+O8PP23ldPgz/sDFX5gXf9vEE1naXpwm1cOb/Ws4v3/zC/pNUZFVwbK5Syjc\n4Vs2rTPpGHDdIAbdOvSUZo5vW3Afi2vzUP4wKo8GL/qaCnhz2Dg8ukYLwLpi5gwNx6xzororUT0V\nf/xb+Ydz1fKtIakiDtWEwWDBrBPAXeozR99uMvrYKQimcARjOILouygpVJZhnvcouoxdPvvcM6/A\nPetqnFUu9n23l7QFuyjZU+wz7ygevY7fp/ZkVf9uSE28llV1cWlEPs9MH3pq2kd53JjnPYa+kc6B\nEhyG867/oHQ69g9YiVPmo3Q77+2taXLhuSFWPTwxOJirk48/m7jMKXP1qnJW5/uWtN/aM4DHBwU1\n205McRbh2vM8SsUuDIUKgZs9GMqavm88IyfjuuhmCNL2i1VVlWVzl5DxQ7pmfOxTE+hzeb/jek9/\nBmLGLsxvPI5Y7uvUu6ddgnv2taetdRRAhUvhoS2VfJbpm7QqCvDP3oHc2z/wtFZfNDTkHtpcybw0\nb8bmpA4mFkw8vqCiqqgsu933Hoof15kZ756HqD+z2oz5aZqTaejftKaM+Qe8vezOi7fw0diwEz6v\nnzMLf+DizyU5OflWYB4wOz09/duTcL5YIBfYmp6ePrgtx54p/szUl1azMdSbLDSnaAevzdiDVLDC\nO0lnxXLWu7h1Ycz6uYSNjbSe7ukXyANtbG/n9rh4ffHDlFV7s+QtcgBhSk90eDOlQ0z7mT7nYazm\ngFadV3JKbPrvBra9vUWz0H2UyM6VJJ+dS+chhbzsnMmrVedgFly8FfE2E607+LpmGHeUXqc5xiY5\n+cD+GiN772vdmxMMuORYMtYnkfajgZpCN+MT93BWx4OaaV/vHkh1v/7s7bcWT2BdMpcxPZCgL+I1\n87rNNjHphZsRxLbZZJ7cH3Gnz0PrHwmYQ+dgqo5GLCmoq9QwWVBNFjCZUU1mMFtQzVbkmA7Ijl14\nDn+JUnOwydcQLLGYut1Rr3siHkrH+pi2vZf9yQ9QOnYGVcX42asYV3yn2V9cG8D3pVOYs+KWZqv6\nd32+g98e+EUzFtkjillfXcjSX5ZqKpXMZjOzZ8/GavUmhqmqypdffkltrXehf+rUqcelcaHbm4rl\n2Ts1Y7XPfIwa26mZI7T8e1slL+302pNXJll5dUTTei6GpfMxffVW/baqN2B/7jPU8Gj2fbuH5Xcu\n1cyf+cGseo29DRs2kJaWptnfpUsXxowZc1ITEhuiqipffPEFdrvXlp80aRKdOjX92ehX/4j5g+e9\nxwsCjsffaZX/eSzuWF+uEUC/obuN584KaeGIvy/+hWk/LeG/P/y0FX+rqFbwv9oqalX6Ae7cFYgs\neBe3DarEiz0ruXhQnzada++3afxw7XdUZVf57Euc3IUZ782i67RkdMYTz4xvidieE7BmHySrOh9Z\nFEAU2BWvIzrTwpTCNLZ07AA0EPZTbaTn55HEKnBmo7qKQaoGpXU9K0VBxSRI6NW6jKmmUGoOIOUv\nR8r+Dk/WAqTClchlqSjVB1CcJegOZ2B96d/ocg9rjlNNZpw3P4w0YRYIAnqzgZj+7eh9WV8SJiQi\niALlB8o0pc4AOkWlU0YhfXYcpjLcSkm4ts+9R9CT4qhrHxWnLyMp2ldo+rjxuDG/9gj6HRu1n0F0\nexz3/7fVBrhVLzI8xsQN3QPoGqwnu0ZuNoDhUeDnHBdf7rczOMpArK1tTtjuMg8zl5Wwo0xbjm/S\nwesjQ7mjd2CLARFBb0MfMx5EE27PLpxJIopVwFCkIDSSyNAdOYBhzY+o1sA6A/qP86bN38XWN7Ti\nf93O78Hwu0eeMkfgVKCGR+MZMQkx5xBiobY9d13rqBTk3oPBcno0SM16gWlxFoZEGVlf4KbK43W0\nVWBDoZsVuU5GxBhPStVOazjqCIeEhjF3fTk1Da7p/v5B9Ag9vtZOgiCQMD6R/G15VGVX1o9XHCqn\npqCazhMT/1L30v8qJ6tVFECoSeSL/V4H+0CVxLXdbFj9Qay/Ff5WUX8u8+bNex5oB1w3d+7c1gkU\ntHw+J/AQUDt37tx5bTn2TPBnNv2ynWc8Wt21F5MKibR/qRkzJl6NGDaAm9eV83OONmlkTqKF/wwN\nbvNv1rKt88nM3akZ69q+PyXVeZhV7+KiSwkic/9y+vQee8xz5m/L4/urvuHgz/t9cpksQS7GXJ/G\nWRdnEhFfDe1G861wBWkVEhJ6ltgH0kFfxoUBG4nQVfGrw1t16xH1/Cb0YVR5GtFhvr6TLwp6oZLo\nTgfpMWY/HcMrGKAc0bSI2pbbiU05iVQfrMG6JQQUkMJcBH0Zj+j22jiB8TZ6PzyeyOg2to9VVQyl\nKvq8Mjz6XBp0JUJy7Ma0bj3mjdvR7duBPm0r+h2/o09Zh2HzKgwbfsGwZimmpfMx7tqPydUZvaEb\nKC5kXSWaNyJVIxWsQHWWoAvpienrD9Fle4McUo8BeKb9oRcoCMi9h6Dk5aDP8wpG24xukjpWI4yb\nAoamE+ai+8TgrnZRkJpfP2YvruXQ1oNUtavR3H+jR4/2aU9UWVnJ9u3b67d1Oh0jRoxAbEVr2MaY\nPv0vYqFX+0XqNxxp0uwWjtDyZEoVeQ0qAW7rGUDPsKbtSaVTV/TrlyM46uwDQVEQamuQB44kvFsE\n2euPUJ3nrcgo2FFAr0v7IOpF2rdvT3FxsaZ1U1lZGTabjYhTVM0vCALV1dWallw6nc5HuLv+/cUl\notu2FrGqou54QCjMRRoxSXufHQeKCt8e8vr7JU6Fm3rY/ift65Npr/r5++G/P/y0ldPhz/g94L8g\nhZVV3LDejUvwGjWiqvBkUglXDG2+nU1jXNUult3xIz/f+ROeWu3Cb0BMAOd9egHnvHMewXGnPhtB\nVSR2HtrFj3Iog0LN2MS6VWNVL/DZBCNpjiiu2roCBW1PWklqz/c5g0759dVdjIRqz0Yu2VhXbr3i\neWwv/8cnQ10OC6P23meQB4/2OYUgCET3jmHcUxO5dtNNjH5sHCGdfbNqQitqufjzdVz+2SrCS32d\noiOEccWWAC76cj0lNc336W01btcfQQtt/2IlpiOO+15BjWx7uyOjTmBOopWVMyJZNi2Cc+PNzT5w\njtTITFhSwuQfi8lrpbjhihwnk38sJqtGG2Fob9WxbFokF3dpXU9UQdBhjL+Ikui7kAzROJL0lMwy\n4UhsorqmthrzRy9ieeYOhPwjlGaUsOrR3zRzwrtFMO7piX9NQzgwBOedz+CacwNqI+dNt383lkdv\nQNy347Re0rj2ZjbOiuK6br4Bk9QSD2d/X8z7+2o4ndWD6wpcmnJzm15gascTKzfXm/Sc8865RPTQ\nBiP3LNjN7y+ub+YoP39XhkcbSQzyPoM8CpoKDD9+/JwYycnJAcBwYGN6enqrv1zJycm9k5OTb0xO\nTm6qGX5X6tbamumnc2bzYUqeZnto+QH6BC/WjAm2ePQdZvJ0SjVfH9R+bMOjjbw2IrTN9k9e6WF+\n36vNnh+SPI5LJ9+CTqxExpuQpKp6TJKKw+XbGrQhOz/bzsILvtS08DxK1+H5zH5qI/ED6xZTxaBk\nbAkX8mrk+7wb+QbBYi0Seu4svZq3Kifxj8BVPBSyQHOOMmMg10u3kZXXtoUdEYXuZfmaNdgKp4Xf\nDnav31Y8OiwrYwh7NRldtdfXU0WVmJti2pRIJuQexvjtB1jvvQLrYzcSuHA1QWvddau49ZMEqkYY\nsCcf+7xiQTaGDb9g/W4xoQv2EzVfIXS5gnW3hGj3nlPKX4Zj43VIeas0MSPP5AsbnVBkgzSW9OJo\nzXBAVTbmVx8GqXmfYOSDo0mYkKgZK9tSime1N5iWmJhI586dfY7NzdUm6MTExBxXyyQx55CP7+Q+\nGphpBVVuhZQSrQ8+ql0LrVCNJtyzrtYM6dcvR8w5iCAIjHl8vGZ1p/JwBanv1XW0E0WR8ePHa3Q+\noK4So7TUt+vAyaJxkCIrK0vTxkuDqMM95ybNkH5PCro925qe3wZGx5owNbjFs2pkMipPOF7tx48f\nP35OA/7AxV8MWZaZsyidIkFbgn1paBY3jvTVHmiOgtR8vpj6CemL9vrs6zypC5cu+wedzo4/0ctt\nEcVRgOfINzhS76N69WwSD93NvcELGBWazRUxZYTr64yJo8GLg1VhXLD3NxS02V1OqROLjzTdksej\n6nAoBmoUE1WKFY8uCPQBIJyY6K35gEzIbx6frHxXO5HSibXUZt2Pfd1lOHc+ivvwV8iVe1CVRlUB\ngSb6XT2AK3+9hvM+vaDO+G7k63Xdn88tb/zE+BU7MLi1xpUiiCx3xjNkQR6vr9l6/G/G7cL86sO+\nQYt2HXHc/wpq2IlVdQiCwFnRJj4eG07KBdFcmWRtVgxtU5GbXgsKuXVtGdWe5ttMfZ5Zy0UrSqmV\ntIvVw6KNrJwZSf+Itrc08xjjKI6+B327SahmgaqRBsqmGJFCfC9Wl7EL60PXUnDv06hur0NtsBqY\n/sbMv7aosijimX4pjvtfQQnVZmCJVeVY/nMnhp+/htMYKAg0iLwwLIRvJ4UTY9H+bDlklbs2VnLx\nilKKHHIzZzi5fNVoAfmcTmZshhP/OTUFmjjvo9kEddA+3ze/9js7Pkk94fP7+esgCAJXJmmDdZ9m\n1J7WAJ0fP39z+gAGYHdLk5KTk7slJyc3FJPrBbwFPNLE9KO6Fifcdup0U3ikiMXh3TRjV0bvR609\nrBkzJd/GgkNuXthZrRnvGqzn8/HhmI5D7faXbV9rtkMDIpk06CIAhg44jyoxW7O/wtWBxfOfbPZ8\nW9/cxMoHV6Aq2uelLcbG5PtyGX19GuaAP2xqQzAYQnFuuQ258DemWbfxU8y/6Wk4gorIExUX8UT5\nhdwcvJzbg5ZozpdtieD60rlUh83F1PtRzP2extj9Lgzxl6KLHoMYlAwG7e95QKqEvkp7XaUDzAS2\n922LKXi0gQTHyGI2e5ZQVJXtM1dzXHE+hh8+x/LgNdgeuArj959oKgIshxSCV3u0wQug+iwDtd3b\nVsEqeDwYC9wEbpOI+NpFyK9uTIdlkFVUqZKq0ToqzzagGOqSoeQ+Wg0Jj91N6kc7+G7vAA6Va21O\n/Z4UTJ+80qy9KepEprw6ncge2moKab0LKcOD1Wpl+PDhTR7bOHDRvn37Nr3voxiWaQNacmJ3lKTe\nrT5+Y6Gbhh3MkoL1Ppp8jZFGTEJpUAUvqCrGhe8BENkzirhz4jXzN7+2kZqCuu+r0Whk4sSJmiCN\nLMv8+uuveDxNi8mfKO3atcNk8gZjXC4X+fn5zc6X+wxB6jFAM2b8+v0T9jsCDCIjY7RBoeXZzmZm\n+/Hjx4+fM4nT17Dcz0nhlkUb2aFoxbgH6nL578zWi+emLdjFb/f/giI1alNk0nP2I2PofVnfU5Yt\nrtRmIxWvQy7+f/bOO7yKMvvjnym35aaTTkkgJKH3IhCKggqKoIK9d11lXd21rGXVte2uvaxd146g\nIIoNaUrvID0QSGgJ6e3m1im/PwKZDCkkoYm/+3mePHnmnfbeuXNn3vOec75nKVpVtnHuI7aLlDWu\nSShlVnEEuV4buizw2WgrV82HMeG/Mq/tWYh1bt+qQCdm5kfwBqMpVMKo0EJQkDjsCbg0McCdKQF6\nd6nR6tN8JXjW3AO+QtN55cRzESO6oPtK0X3FNf/9JWjeYgjUpK2GbFEIW1M/QqO6m4Srv1wjwA/o\n/hLU4hLU4pUEAEQrYnhXpMgeSJE9ESO6IEh2BFEgeUQKySNSqNhbzsaPN7B56kb8rpoJcVnVGLFk\nK7025fLT2H5s62pO4y8VnDy8y8mM3FX8d0wHuiY1UNCtMfw+7K88grx5talZS0rG88CL6JHHN0Uw\nJUzm1WFRPNgnnGfXV/J5tpsjJYc14LNsD1/leLi3ZxhTeobWyqPous7zv1Xx9Pqqese+uYuTZwZF\nYG2F0XwYXbRhy7gXKaoPvqzXCMR7KLnASshWldDfFIQ6X7ugBBgcvo7kfuF8l9WbAlcEZz41hqjU\nP4YOvZbeC/eT72F/+xnkTYYUlqBp2D57HXH3dnw3/A1sJ6+w3Vlt7Sy7MI6/LCvn2z1mY2POfh9D\nZxXyRmYU5xxj9kNTeFWYvcfsuLgstXnZPc3BGR/KhR9PZvqkqXjLjPP88o/5OONC6Tw2qDf6/4XL\nU0P459rK2mfk9nKFNUUBBsYFC7YHCXIcSD/0P/co220DsoDDs/pfAjcCN2VkZMQAP1AzjL0YGAPM\nA9493p090Xzw5Src0X1rl5N8pYzv+H3NoOwQcsIYyuxdeWBFgWnfNjaR6WPaEGVruQM/5+B2svPM\nNeLGn3ENNkvNe3xY79Gs2/AdAb8HS61crIhOCB5vNQ674eDVdZ3lzy1h9X9X1jtPjyt6MejKPMTi\nIwK2AhVoJebAnWRLMd8kPMPDpVczrTqTtyrHUqqG8lz0hxSqEXxRPbx22y3h7blxgY8vb+qFM8JZ\nz54B0JVqtModsOF7QrbOM61zp0uEDvQwsf8qdixOYs2Mznir6j/jdUFHifGiagoLtk4jtWNnEqLN\nST9CUT7WL9/FsnJBvf2PxL5Xg18CVIy0moww1yALape+OMoSwedB8HnB50WoKEU8kIugNx5UJOhg\n269h26+hWcHbUcLTWcKXIlIabcURfiYckc27ZdrmQ2MdiS83D+DqfqtIchpZMpZfv0NLbE9g3GUN\nntPqtHLBBxfxydgPCJQbE+/+b9z0m3Qmdnv98aCmaeTlmbOLWuO4EMqKkZeZM4X84y5vkaTR4iPq\n841oKtviMJKMb/LNOF59tLZJ3rAMcedmtLQepF/flfxf8ghU1tiRikdh+fNLOfv5sQBERkaSmZnJ\nL7/8Urt/RUUFS5YsOSH1LkRRJDk52VQIPScnp/FrLgj4L7kV+Qkj80LavQ1p/TLUfsOOqS/ntrMz\n/4Bxzefs9/LnnmHHdMwgQYIECXLiOeUZFxkZGf/MyMjQMzIyPjzVffm98/aStUyvSDG1JVLBtIu7\nIUlHj5DRdZ0VLy1l3n1z6jkt2nSJ4YrvrqbX1X2O+4BFc+cTc1LEAAAgAElEQVTh3/0R7hW34ll5\nC4HdH5mcFo1ht9i5LC2ZfmLNQPSw80LJkhhUvgy9jjUlIOBxRzPCt54SLRwFGRDoFCbxw7gY7ksN\ncDiARQ+48G54uJ7TwtJhMrau92BJGoe141XYutyNvfcTOAa+jnP4F4QM/4rI/SPqOS10oHKwjGug\npdZp0fCF8KOV/0Yg9zO8Gx7EvWgSnnX34c/9ArUqG13XiOgQyfBHRnHj8tvIfGgkoQlG8cHICjeX\nT1vCFVMXEV5ZPzJrndqWs37ycN/spQTUZqS++n3YX364ntNCTUrB8+BLx91pUZckp8RrmVFkXRbP\nhSn2IxNNAPCp8OyGKrpOO8hbW124Ahr3LCuv57QQgH8PjuD5IZHH5LSoi5xwFo6BryGGdgJRwN1D\npniiDV+7+o/MhLBKbuy/hElji+l6QecGjnYaExaJ995n8U+8tt4qy/J5OJ68E6Ewr4EdTxzRdomP\nzozmjcxIQmXz913s1bh0XgmPrq4goJ2YyPTFpRJVdWpbxDvE5hmaLSAqNZqJ/7sY2VEntkCHOXd/\nb9JzDvLHJj5EYuwRTriPdzQtjxIkSJBmc1ins34kRBNkZWUpwAXAfdQ4P14FXgBiD7Wdd2ib04aA\nz88XdnNR4qvsa5G1Os8b2Ym18008vqaScr/xDrRJMHVMNB3DWx4Lp+s6c9d+aWpLic8gra25Vt+k\n8/9KtWRW36ryJ/Dj548bx9J0fn1sQT2nhWSTueC9Cxn1cCpiiflcjSGEdCCi+928eeF5vDI0EqsI\n06szua34TzwZ/RljHBtM2y+L6sytby9BDTT8tQuyEym0G2FzskzjXTVUrgl4omY+v8vIPC751zIS\n0svqH0MXCJ/ZgdCv2hNw+fno5+cpqTzkQHJVYp36BiEPXtuk00KXLSj9huG9/q+4//4K6t++xNb3\nSRDNWcKe8M24xvbGd/sjeO9+Cu/9z+N5+gOq3/oO999fxnfprSj9MtEiGg/UEf0QkqXS5ns/UT/5\nET3gkr5BOTjf+PwBlXXvGjZIQJXZ3u9WtCPkaa3T3kJat6TRc3kkD+IFVnPWug/WPbEKxVs/i6Co\nqMiUXWC321ul5W6ZOwOhjr2lxbdF7Z/ZomMsOsJx0aRMVB3Ufpmonbub2qwzP6j5H24l/QZz9tTW\nrzZTtMWwe9PS0khPTzdtk52dbXIuHE+OlIvKzc1tMoNU69QFpZ/5WlpnvA+NSUw1kyMDm1YU+Cn3\nHdsxgwQJEiTIiUc4lbIDGRkZ3YF1gBX4KCsr6/qWHqOiouL/hW7C6ty9TFyg4BaMAY1D9zNjJAxN\n7djEnjWofpX5f/+ZbV9tqbeu93V9yXxoJLL9+CXg6LqKWrIGZf9s1NLmyRgVKBGs8qURE9+LM7v2\nQ3R2RBAlNFVlxef38JNSji4ICIrO5QsUSjND2GoZhFBnpKqhsFYOYzpncmf3UB7uF0aILLJz504A\nOnfqgHfDQ2gV5usgJ5yNteu9jTttVAXbB89jWfKT+XPKFry3Poi/Wwpa1U60qmy0yh1o1TmgtTDl\n1hKJ3KY/UnR/pOh+CNZIVL/Kju+2s+6dNRRvMwqb+awy88/qxarB6egN9LkjxTx3hoMxXdPrrTv8\neeyvP458hCGgtuuI94EX0cPr1904keRXK1y7sJTVRY1fM5sIR44tbRK8MyKaiSmOhndqAYfvkbQ0\nI6JdV/34s99BOXBIHkDXsedohK0KIPrqH0NLbI/3pgfQ0nocc39+b0jrlmJ/5xkEj3niVA8JxXv7\no6i9Bzey54kjt0rhtkVlrCz011s3INbC+yOjSQ47fs+1nTt3cs8WG0vKDEfxn7o7eWbQiakDlDN/\nF7NvmYVeJy3J0cbBZbOuOim1h4K0jIaeIcfKnH1eLptnaE87ZYHtlycQdhykyYKceiIiIk7DYkhB\nTgSn0p754n/zuR1jotOqBVid/BAxohH5bk3/E+ut53LO9+a6bk8MCOfuVkYsb9+3ns/mv2xqu+W8\nR+gQV/8Z+u70J/BVhmHTjXM55FImTr4NpyOceQ/MqWfjWJwWJnxwMW0HJeJdczeaa1eT/RGcKVg7\nXokUm4kgGM/Y9cV+rl1Yyj6XytmODbzc5j2uKbyHdX5zfYVrC9fz8t/GITYQTGb94k2sP04ztZWN\nDccfbx6/eCotTH9wGAFP42MXNdyP66L9hHe3McXRm/CfZiBUN+x/00URtVt/lMFnofTPBGf970ot\nXY934+Og1RnYCiK2Ho8ixzaR0a/rCCUFyGsWIy/+EWn/7sa3pUZOt7qvjN5nAta0W9k+ayc/3/Nj\n7XrJJnHD0lsJ9RcR8uSdpvGmbrXjeeQ1tGTzvaFpGt988w3FxcUEVvgIzDNn43a9pDtnPzfWZN+t\nW7eOtWuNmgmdOnVi9OjRTfa9Hh43znsvQXAbffReew/K6InNPkSZT6PT5/mmGiC7rkigjb15cl3i\n9g2EPPsXc7cefIntciiaqrHqrmWU7jTGD+2GduDizy+pvRaKojBr1izKygxHmSRJXHjhhURHH9/s\ncUVR+PTTT00OowkTJhAfH9/oPuL+3TgeuQmhzlyV9/ZHUYa08Ls6gjO+LmB7ueFw+mBkFBd3On6Z\n06cDJ2K8GuSPQ/D+CNJSToY9Iz3++OMn+hwNkpGRIQKzgDIgEfhtypQps1p6HJ/P9/hx7trvjlJX\nNRO/L6RUMKLvBV3nsdRCJvXt3sSeNfgqfcy+ZRa7ftppapdsEuNeG0//2wYiysdnEkT3VxDY/y3+\nrc+jHPgO3dN4NLamC6z0pfFO5Tk8Unol/664mFG9xjC5T19EW3St0SCIIu17jyMhL4usqkJUWWRz\niki/RT7E1AoqdUMaSUAkUfNwRZrKXUO7YzmUAVFaWgq6ijP/LbQys1a81GYwtu4PIIiNXAOfF/vr\nj2FZ9Yv5s9odeO95FrXvMERbNFJYZ+SYQVjajsPS4VKk2GGIYakgO0FxgVo/S8J8QbxorhzUoqUE\n9s5ALVkLmou43mn0uj6TxAFtqS5wUbmvAlnVSMvOJ21nHgeS2uAKM0/clxPCjH0ym3Zs5syOMTis\ndaKpNA3bB8/Vi8pS26fieeBFOMlOC4Awq8i16U4GxVmYt99LQ6UKjpSUirDAV+fEMKbd8ZEFKi2t\nMdDrRl0JooQcMwjRmVzzfegKSpSIp7OEVK0jl5s7JbgqkRf/hOD3oqb3gmZkQp0u6IkdUAaMQNq6\nHrGqvLZdCPiRV8wHi7XGYXMSi5JH2kSu6ByCRYRlBX6T8Zfn1pia7SY1XCYj8vjUHMk+WMq/d1nR\n6zhLnzsj8qh6xK0lqlM0zrhQcuYZky2KR2HPolwyJnZBtp/GtVT+gDT0DDlWUsIkPtlZjetQlk9A\ng45hMr3bBOWi/gjY7fYnTnUfgvw+OJX2zN8X7GGvw3huTQysZ3LM4tplwRaH1OVvXLWgnEKPEUGS\nESHzxvAopKayjRtB0zWm/fJfqr2VxvHa9WF4z/Mb3L5X+jCWb5qJTTfqrimag8JNM9n1no8d3243\nbW+PtHPRp5eQNKAtgT3TUQsWNtoXMTQVa8YUrGm3IYWm1AtiSgyRuDzVwabSAPPLYtnub8crMe+y\nwNOLMs1wBPzmTERdsJgRQ81BQ2L2FmwfPI9QZ5Ti6RKCO8OcoSGGd2XFZ+0p3GFMokoWFUEEXTP6\nJPok7L9F0XtHKd32z0NS6kfSqB1S8U+8Hv9N96OcNaFmwt/acDS/6EhECs9AKfgVQxtMRy1ahhTR\nDdHRiAStIEBIKFrn7ihnTUDpOwzdYkHM34ug1A9Ekl06jp0qUs52fP7lLPnIQ2WecQ16XNGLjAu6\nQHgkWkoG8op5tZPWgqogbViOMuhMcBjyYFlZWWzfXvPdi20l9GIVvdi4R4u3FhGaEEZcT2OCfM2a\nNbhcLuO8PXoQE2Our3E0LPO/Rl6/rHZZD4vAd8uD0IIC3/MOeJmZY0iC9oi2cFeP5jsB9ZgExB0b\nEYuMTFyx4AAF3QcjiCIpvTuS9Y0hjVa5r4K4XglEdapxSoiiSGJiIjt27Kgtlq3rOvn5+aSnpzdL\nzaG5iKJIaWmpyUlitVpp165do/vo4VGIB/ebHGLivl0EzpxYT3KsJexzqaaAJ5sscEHysQfAnU6c\niPFqkD8OwfsjSEs5GfbMKXNcvP76638CbgOuBq4j6LholIumrWObZo5IuCgsl2fOO3pdi6r8KmZe\nNZ2D68zyIvYoBxd+OImUUUfP1mgOWvVe/Nnv4tv+ElrpWlAakbMQJDxhfXi66Bz+UnQdH7rGsN6f\nSoUWyuuZUVyfEdrwfkBseiadAwF25G3HZxHZmiLSf4mXQKoHt2oYMgISrpICosIlotskAVBaUkJE\n2XTkiuWmY4oR3bD3ehxBamQSyOvG8cIDyFvWmpq1sEi897/QaAE2QRBrnBnh6chxmcjtL0JOPBsx\nLBXBEoauumucGU2g+4rRytaj7P8WpWgxEfEqXS8bQMrZ/XGXeCjfXUZ4lYd+63dh8wbY2yEWTTIG\ncrogsCMQyWebi3G499K/QyLoOtapb2Bd+K3pXGpSCp6/vwThpzaKu2O4hdu7heJXdVYXmieij6R7\ntIXz2jtIdB6fgXVTL2nRmYwcP4LKrJVYrC6QBXwpEkq0gKVAQ6xb+wIdaedmpLWL0VK7nVDJrZNO\naARK5jkIBQeQ8nJrmwVA3rIWoeBATeFF6eSVTxIFgWEJNkYk2vjlgM8k4+RT4etcDyU+jREJNuRW\nTK7U5YOtlSwrNz5bl0iZh/uFn7CaQABxPeNRAyp5q41Ckt4yDwc35JM+octxczoHOXZOxEBfFATK\nfTrLCgwju8ir1ivcHeT0JOi4CHKYU2XPrPt1M096zZOHzydNJUE2snwtKZfz4cGOfJZtDsD535nR\ndGqFRBTAxt3LWZ1lOBMEBC4bdSehjogGt5ckiaLKYopLC+rUugCfaKfgo0LQjfdwSKyTi7+4lLge\n8aiV2fi3/AsaGFEKthhs3e7DmnYrkrNDk+9yhywyqZODMr/GjIPR7Ai05eWY9/nR3Z9q3QigWRaS\nSJvly+g/8JB0qN+H44X7EasqardRQyXKRwpQR97Uknw5VdKN/PLUDlNXB12azaDJOynIjsRTaXY8\nFFREkl0aR6eoIuyWmoGoFh2L7+q78V/7F7TUrmBr3oSs6EhEdHZALVxS51ppKEVLkKL7ItqOMrEv\nCOiRbVB7DUY8kIu0r/HsC7lSx7GllLSOOyjHQXFhOIIoMO718dgjaq6lHpeEHh6J/JtRf0TwupG2\n/4YydAzIFrxeLz///DOqqh7qgkDq6DTUrICpRtjeRbkkj+pIaHwofr+fZcuWmfozdOhQU/Hoo6Io\n2N980pQREjjvctQeA5t/DOC97dWsKzYcPJM6OlocjKUltMOy6IfaZbG0kOp2nfBHx9Gpfyp5a/Ko\n3Gvce0WbC+lxZS/EQ/aiw+HA6XSyZ8+e2m28Xi/V1dX15J2OFV3XycnJqV12u9306NGjyd+d1r4T\nlvmzDAdWdRVamzi0lEYUBZqBVRL4vM6zLN+tcVf3UMSTGHh1qglOTAdpiuD9EaSlnAx75pTMeGRk\nZLQDngU+zcrKOnoFsf/HPL9gFSsUczHmHkI+71x8xlH3LdpayPQLP6NkuzmtO6JDBJfOvIKkgS0v\nRHYkmjsP39bn8Ky8HeXgvEblkcSwdKxd7qG4z6dk7voz75aPpFgzjJPnzojg6rSjT8RYe03mt7A/\nEVUNSAKzRkq0X15IqNU8QJawM3fhUg7sr4k0cbp+xVm91LSN4EzB3usJBKmRQaLXjeOFB5F2bDR/\n5pgEPI+8jtYx46j9rT2XICA6ErAkno2t672EDPkfjiEfYs2YghQzFKSmU1T16r0E9nyBd83dRHgf\n4NwHC7n6m2GkjU9H0nWGLd/OnW/8QNqOA/X2LRZCuW9HPOd8vJI9X32M9eev6n0e733PQdjvQ3rG\nJgn8c2AE089ug6WJMeS64gBnfVfEDQtLyak88XLS+9b4mPaXrmz7xfjd+DpIlFxow51W33kiHcjF\n8c87sMz6CJTTSu66aewh+O58DN9lt6ML5leIZfk8HM/8GaG0sJGdTxxD4m0snhjLuQ0U5n53WzXn\nfF90zPfJD4XmCZrLU0NOqNPiMEP/lkn6BLNe8YEV+5l3/5wmNYKD/DG4Ot38flhTFGBjSX15tCBB\nggRpKR+s2GNa7ufNoY99q9Eg2iiPPpun1leatpvcydHq+k6KqjB/w0xTW89OZ9QrNn0kE0ZehSAU\noNeZ2Vf0UOIuMSYhw9qFc8lXlxOTEYvq2oN33V8xVRg/hBRzBo5BbyLHDmn2e1wWBZ47I5J/DY5g\nsa8Hj5RezXsxrxEmmB06D9m78sP0GilWy4/TEPP3mdZXniGiW41zyu0mIHe8liVP/4pepz5XRLKT\nHheFEd2+momPrqLPqByOdMAUuCL4YO1wdlTG45t8C+5/f4qSeW6rItLluEysXe42N6pevBseQXPl\nNu8g1VXIq381H6J9aoObOg8oXBy3ngtGrCP9/M71JDCVsybiP2eyqU3aswP7W0+DprF27Vp8PiPb\nRJZlho4ayvlvTTDVCFP9Kt/f8S2eMg8HDx40jZvCw8MJC2uZ1Jm8aiFinXGubrHiH31Ri44BsKQ1\nhbmPQOvcHaWXWao18ddvamS8BIHhD4801f4o21XK5qlmuzY9Pb1evYudO3ce93oX7du3N2VxuFwu\nSkpKmtgD9Ph2KMPPM7VZv/kYAq0fAw2OsxJR5/dX6tNYUxQcUwUJEiTI75lTUuMiIyPjGyAT6JKV\nlVWUkZGhc5xrXBzWZjud2V9ZyTW/ReISjIm4GL2Kj/v5iHU2PdFdvr2MVfcvQ3GbJ+oiukQy4Mkz\nsEUdWzFZUSkjrHIOIdXLERowCAB0wYLH0Y/q0OEEbMmU+OGWjXb2ec2D6Vs7+Lmlw9EnFHPdAn/Z\nauOAVyRcreTe6pcoiagZ9F2wSWFbz874A+aoMVV3Max7DB19n5tStBUpmuL4e9GkhiO7RL+PTl+8\nSthe86DNE9eO7CvuRjnek/y6itWXg827DZt3K9bA/mbtpkhtqFB6sO2nSLK+qkbTYEv39vw4tn89\n+SiAUN3L3cWzeGLLbAACznB2XPcA/ui44/pxjpU9HoE/bbJR6G+e4SULOpcnKdzUPkDoCQj291f4\nWHzLQnylNfdb2rA8hl27Hdlq3PvWAyrhyxQkd/1HkjsxmT0TbsAbe+zOwt8TYbu3kjLzbWSv2WgP\nhEawe/IduNs1bKyeSHQdpubJvJZrQdHNkxGhks4T6X5GtGlAi+woZFcLXLHe+E0J6Hw30Euc7eS8\nQ1W/yqr7l1G2udTU3vmqdNJv6HpS+hDk1HHXZhsryw2D/+KEAH/v3MI6SkFOGY3pBAdrXAQ5zKmo\ncVFyoITeP5Thko1326thU5kUPa92WW57PncXXMUXu4wI9lBZYPWkeBJbKZO4avt8Zq/4uHZZFCTu\nvuhZosMb17s/zMZd61m48HtCdGNbQfDifcFNeGIsF312CWGJYSgla/BtfAz0I9/3Ita0W5HbTTym\nwIOf9nm46Zcy+shbuSPsR24smoIfQ74xUnPxXVIRg79+CsFn1F1wp0lUDTW2kxPGYO16L7kLcvj2\nxq9N5xj/7oV0OjsVtXAR4uxXCFtayt7SaL7d1odKn9kO1AWdxGvbcOkTNxxzQEVg7wz82e+a2gRr\nNPb+LyA6EhvZqwbLzzOwffZa7bIWE4/7uc+Rtv+G9at3kHbVyDrpQLEljD32GPbYY9kd3Z7cAePZ\nK4azr1oloOrYZYEQQeM/y55jSJ45833VwAv50p5ErF6F5ZAdOmDAAPr27QtA1jfb+OnP35v2SR6Z\nQtxtSWzZatRC6datG8OGDWv+xdF1HP+4BWlvdm1T4KyJ+K67p/nHAAo9KulfHKxdFgXIuTKRCGvL\nHU5iThYhj99matt16V3En1/j9Jl3/xy2TNtUu84R7eC6X2/GFm7MBQQCAWbNmkV5uSEFK8sykyZN\nIjw8vMV9aoyff/7ZlN3Rp08fBg5sOlNFKCkk5P6rTPJjvqumEDhnUqv7cfOvpXy123im3dsrlH/0\nb3hO4I9IsIZBkKYI3h9BWsofssZFRkbGZOBR4K6srKylAK+//vrjHGepqMMpTqcz961xsQcjRUvU\nNZ5MPkDX2KYLZlXuqmDVA8tQqs3OgPihCQx4cjCWsNZrY4tqJWEV3xFV+gnWwB6TM+AwihRDVfg5\nlEVfi9c5AE2OxKXAnZvt5HjMA7JLEwPclaIcVRZ/fYXIXVvsFB+ayPaJNn61ZnJOxRa89mp2xIuM\nzC2iINqJrhmZG6JgZU9BGUm2/TitNcaLJtgpiZuCKjec9iwEfKROe62e06I6MZnsq/+K6jx+Azjj\npCKqHI3fnoE7NJNq5xAUuQ2CriCpZQ1eZwBR9xAi7KFDWhbdJ7qISpWxrKik+5K9eG0W8tqaU/z8\ngsxiZw++adePMzy7qLjkDnyxTRshJ5vsaoE7NtkpDpjvlXBZx6c1fKNoCGyskvi2QMYpQVqoxjGq\nAtWi6zq/PbuWih1GqnXpgTAiRp9NROgeRK1m0l4NF/GkSYgesJSZvy+Lq4I2G5agWe2426ac1DoQ\nJxJ/VCwVXfoRmrMNi9uQPpP8PqI3rSAQHo0noX0TRzj+CAL0DNcYEqWxqlykSjWutV8X+LlYJqBB\nv4iW3SOfHrCwscqYpBkcqXFJ0snLpBElkfghiRQsyydQaRhvpZtKsMc6iEj7fWRMBTkx2EWYV2x4\nZfd4RC5NVGjFHEeQU0Bj6fZBqagghzkVUlFvfbCQuSHGOzo+UM5zSe8iCcYYZmvc3dy/zrzfP/qH\nM7pt6+qL+RUfXyx8Hb9iTOYPyBhFn86Zzdo/PjqRNb9+i2SNRqgNJZeJ6lLCRc/cRmh86CGnxeP1\nnRaiDVu/F7HEDTvmyf3OERbObmfjvZxQtnuj+EvEd8zx9K1d7xWsnL3qY7pXGpO0mg3Kz7KCXHNu\nKXYotm73o6nw3a3fmOSN2g1pz9D7hyP4vTi+mEbI0i0IOkTaPfRO3Eep20mJ28gUEBBw/eZh17os\nupzbHcnaehlVKaIb6Cpa+WajUfWgFq9CihuBIDciP6Xr2N//N0IdWSz/uMvRuvRBj00kf+BYZsb0\n5zk1nbs6X8+THSfxXtJZfBV3BvPDurK2SiK7UqHQo1Hi0yjwaOx363wZ0YdxJRtICBjHbZu3nXfC\nhvFm6HA2iEnss8ZBfCc0BJKcEnFdY/GWeyjYYDgHKvaUU+WuQk8yuty7d2+ioppf20/csQnbd58Z\nH1kQ8N7xCIS2zDacs8/LN3uM30DfGAu3dWtcLrkp9KgYxL3ZiPl7a9vsxXnooy8EQSC+VwKbPvsN\nLVDj4FE8Crqu02F4Su32kiTV1rs4HNSqaRrFxcWkpaUdt+xiVVXryVJ1736Uep0hTgRXBdIuo16H\nuGcngdETQW5drTevqjO7zvWv9Gvc1KV11/90JCgFFKQpgvdHkJZyMuyZkydEDmRkZEQCrwG/Av87\nkec63T2Ezy9YxTrdPOF3vnMPN44e0eR+pTtLWPjQzwSqzJGYva/ry4jHzqzVtGwpuqYQ2Pc1gZxP\nQatfBA5AcHbA2vFaQmKHElFHQsar6EyaW8yOanMa5uRODt4akXRUTcmvdru5a0sZ/iMSO0a2dXLz\n1f/mwE//YkbRNr5OsXBZ6UaWR/YF1XjQSmIYP+UNZ3zbX4hyqjh6/p2OMYNpEJ8X+8sPIe/JMjWr\nyenoD7xAJ2fL0omPjUEA6IEq1JJVKEXLUUtWN3r9bRSS1rOQtH9DRUkSfb7dw8JPuvP1uWdQGGee\n1PxN7khml8e5pSqfx4Z0Oq4F2I6FDcV+7lxdQmnA/GVf0snBa8MieXNrNc+sryTQcJIPZQGBZ3dZ\n+aY0hGcHRTAyqfmGdWPRBVumbaJg6UFT26C7zqDPRZnoytn4tr2AWlSjl6tbBSozLfg6iISvBNFt\n/A5FVaHd3GkkHNyN7+YH/0C1L9JQe/VFefNJkxaxqCokz/4fiYFq/JfdBuLJvcfSgDN7aPx5aRnf\n5HpN6z7cb2G3Gsr7I6OIdRy9X6qmM3ftQerKTdzYK4a01KYz304EbT9vy/QLP8NTakxwbHllI6l9\nO5NcxwgNcvI5kRFKKak6L+89SL675h50qwJrhURuSvv/Y2gHCRLk+DJfNUu0XmFbjVUwJvuFqP5M\nWR8GGE76bpFyqydYAVZum0eVx4jqtkhWRvWe2Oz9K/aWI33cHu/teThEI8u6MiqB3G1LSO/WBt+m\nJ0A/IrBAkLEPfB3JefyCKXq1sTL/gjgunycxzQX3RnzDixU1n6VvVQ6TClebtnf1kdFtNTaPGNUP\nW/cHEUSJTR+to2xXnYA7AUY8eiZi3h7srz9uqikGYJcVxl28Afmgm82zOyHUyS4tXlTKJ+e/z6QP\nLycypfkT8kdi6XgtulKNst+oiad78/FtfAx73/806LwQd2xCzDMmpQOShSXdxzJ3bSXzDnjZUBIA\nYqCFhbBdsoOJPf/G8nX/INFv3Dv/2/4WQ/s9wTZnOwrVUNZucAEuIq0C57S3M+6aM4jaUkzZakOq\nq+qncmzxTqR2MoIgkJSU1MAZG8cy1yxxpvYdih7feIHpxlh0HGSi6uK/6AbkdUtql0MK9uNZuwh1\n4Cic8aH0v30gK140ants+GAdva7uQ3h7I8sgOjqaIUOGsGSJcZyCggI2btxInz59jql/h0lOTkYQ\nhFrnSHl5OWVlZUd1HgXGX4Xl1+9rs5fEyjIsP88kcMFVrerHmLY2RAEOK7NtKVPY51JofyLS9oME\nCRIkyDFzsmP1ngOigduzsrKCwtyNkFNczMu55knNRCp4Y8KAJvcr31POzCun4ynxmNoH3DmYkU+c\n1WqnhVqxHe+aKQR2vd/gpLngSMTW7f4ardi4TIQ6Tniy1aAAACAASURBVAtN17n511KWHjQ7LUa3\ntfFGZlSTTgtd13lxYxU3/1rfaXFVWghfnt2GCKtItwkPcVPviUT6FKZF2hiurkEXy0zbS1IE3+8b\nQZlzAnJjTgu/D/srDyNvNYeWqclpeO5/Hk6q08JAsIQhJ4zG3vMRQoZPw9bjIaTYYSA2HmUS0SaP\n4Tds5eEHZ/K58gITtqxEUs2RZx7JyqsHk8l8fwPr9zZPmupEsrrQz4Q5xZT6zF/2NWkhvDU8Crss\nck+vMH65II6e0U1H2GwtU5g4p4TL55WQXdF6OZXy3DJ+fdxchie+TwKD/jwEAEF2YuvxKNbON1P3\ncerrIFF8gYg3tb5xL29aTcgjNyJtWFZv3WmLw4n3L0/jP//KequsP03H/uo/4Ag5qZNBhFXkw1HR\nPDMo4nCAYy2L8n2M/LaQVYUNOwLr8mu+j4Me474MlQXGd2hdtOmxEpkcyQXvXYRkM4wrTdH44Y5v\nKd5e1MSeQU5nLKLANUcU5H5/e3WwxkmQIEFaRd7ug6yI7GRquzjhF9PyXP1ctpaZHQDPDYnE0sqU\nVo+vmsWbzPI9g7uOITykeRPsAbef7279Bn9pAO1HDa2OQ0VAZsPO5TVOiwbq7Vkz/nxcnRaHSQyR\n+GFcDFFxvVnlTeNS5xLQdZ7P/gyxTrZ0IFzAk14TKCGGd8Xe6x8IohVvhZeVL5vHg90v7UmCkkPI\nE7fXc1qoFhu5F96McuerDL3Sx4C7NqE5zN+RK6eaz8//kNxfcmgtgiBgTbsdKf4sU7tWtRPflmfR\ntfqSm5aFNU6OIksYTyZfRMqwNzh3kZ/nN1Ydclq0nv32Nlza/W78ghFsEqZ6+Wrzy4Qr5vFluV9n\n+i4PNywu52/jM5l63Zms6Z9KdYgNdPB/7Ub36sTGxraoKLdQWoi8dpGpLTDm4lZ9nsUHzWPP4cfo\nuNA6pBIYdKapzTrzQzj0PfW7ZQDOeMMmUf0qS/+zuN5xunTpQvv25t/JmjVrKC4urrdta7DZbPWc\nRbm5uUfdT4+IJnBEvRPrD1OhuqpV/Yi2SwyKNStQzN1/dHsgSJAgQYKcGk6a4yIjI2MEcBPwBuDK\nyMhod/jv0CYhh5ZbHx7yB+HmH3aZ6lqIusa/+0GYo/GJssoDlcy8cjrVhdWm9j439WfofZmtSvHU\nlWp8Wf/Fu/YeNFf9wa9gi8Xa5W4cg99FTjgLQagfufzUukq+22uOdh4Ya+HjM6OxSo33SdF0/rKs\nnH+uray37uG+Ybw+zGw4JQ2YzG3j/06KV2Ga4GSUdSW6WGHaT7RE8eOaCnatXXHkIQ85LR5B3mLW\nUFU7dMZz/wstTgE+UQiSHTluBPaejxKS+QXWrn9DajMQGrj2AJKs0nVIHm+e9w6zwp4lzZ1Xb5tt\nlgTG/qRw7xeLUNWWaf9rmobP78PlrqKssoTCkoPkFexjf34u+UX7KSotoKyyBJe7Ep/fi9qAoQOw\n9KCPi+YUU+k3T8Ld0tXJK8Mikep8192jLcwfH8v9fcJo4hYC4Kd9XobMKuTJtRVUN5am0dhnUzTm\n/OUHAnWyJmSHzLkvn49kMa63IAhYOkzG3udpsBj3iW4XqBgWoGJUKLrd/NsVqipwvPQQ1o9fBp/5\n93HaIkr4L70V7+2PoFvMxoC8fimOp09N0W5BEPhT91Bmj4shwWF+5eW5Nc77oZi3t7qanACemm02\niiekOHBaTp1GT2L/JM59+TxTwUV/lZ9vrp+Jq8DV+I5BTmuuS3ea5M22limsKgwWlAwSJEjLmf3j\nBtQ6mZAZygFSLUZ2qWZvy5StZsfGZakOhiW0foJ16ZYf8fgNO8VuCWF4z/Obta+u68y9bw7F22oc\n9ML6CALeA6ZtXGoSy7bWryUmRnRDTjy71f0+Gk6LyKdnRZPSYQCFSjgPVn7NyIptpm3eihkDooAY\n2gl77ycRpJpx4cpXluMtN8aBFqeFzHMt2F952FQbA0BNSiHrpocp6zEYKbI7jkFvMHDiMAY9uB4l\n3hy0FnCpfHvDDDZ9ur7Vn0sQRGxd762xM+r2o2QV/p1vmMdNVeVkb97BHek30vGMV3mi42QKxKaz\nUi1+hU6SjzHiVm4rmMuzu6by+ZbXWLLuMX5bdT8r1zzMwn1v801/hWlj2nD7hWfwfX+zoyDDk8//\ntr2FoDc8xvfrsL1jArMvGMSL907k64mDyXNE4v/e3fJsiwXfImjGedSkFNRu/Vp0DID9LoVdlYY9\nJAtwRlzrZZwP47/oevQ6wYNSXi7yyoUAWEKsDL3PLMe249vt5K8z24WCIDBixAjsdewWXddZuHAh\ninJ85FE7duxoWm6O4wLAP+4y9BAjgENwu7D+OK3V/Ti3vdk2m7PP08iWQYIECRLkVHPSinNnZGQ8\nDjzWjE1bVKT7VBSzO5E8v2AVT+0xD7ovCMnhk8sa136tLnDx5aVfUJFbbmrvcVVvznp6TIudFrqu\noxYtxb/jTXR/Sf0N5FCsHa9Gbnsegtj4QGv6Lje3LjJnPnSNlPnhvFiibI1P+gU0ndsWlTEzxzyA\nsIjwemYUlzUhzxJwl/HjR3eyRbBwSXQ18yuHIurmTAnRV8jg1D70GHfIWFIU7K8+YpK5AVDbp+J5\n8EUI/f0X69IDlSiFi1Hy56FVbmt0O0UXebviHJ4vvxC/UD9roVPpQR4Z4KZ9lEhpeSmuqkp8fj8B\nfwAloKIqWo1ksCYiUPPX4r6ioQsqCDqCBJogUKLoeHWJamQqBQelOOnbNo6b+yUTEx2HpREN0/XF\nfm5fVEZWxdEH0+2cEs8MiuCCZHuDv4kjZV5WvLyMlS+Zo+BG/+scelzRq9FzaJ6D+DY9iebaZWoX\nXTqRq6Ow7D1Yf5+kZLx3PIrWofNRP8PpgpizHfvLjyCWmyO0tMgYvPc+i5Z8aqT8CtwqNzaQAQZw\nRecQXhoSif2I1IxKv0bGFwfxqMar5tuxMcec1n88WPfOahY//aupLbZbHJO/vBxr6LEbwUFaxsko\nZnfl/BJ+qBMMcFmqg7dHNF33Ksjvl2Bx7iCHOdn2zGXPzWVOTLfa5T87f+CBmBm1y7PlG7h9l2F7\nhFsEVl8cT3wrC3K7fS5e+PJe/IoR1Ty67yRG9Z7QrP3XvLmSpf8yR4jbRqnomQ5kDNkiUSznsuR5\nCHW8vPb+L9bUbTjB6LrOM6tKuOvDm2nrNmyyOVG9OL/3Azxe9SV3334dgrUmRq9sdymfnv0hmmJM\nhmdekcSIwvcRjggkCgw9B9/197DzUIZ03feMWr6ZXxa8wJoP2mLfVL/eVb+be5D58Lmma9Kiz6W4\n8a67r97Y1pJ6I5YOl7Ao38+bC7P4yX90CdSkvBI678wnLTufNJ+XW5begkgV3rWPELJoGyHbVIQj\nfgm61Ybv6j9T1HMIM2bM4Owdy+leuNu0zfIR1/BG+sXM2eetl7ndEB32FHJlosbfbumH3Jzr4vcR\ncu9liFXG9+q99h6U0c2XOTvM1Gw3dyw27OMh8VZ+PC+2xcdpCNvbz2BZ9nPtshbfDvezH4Iko2s6\nU8d/QtEWI4gosX8Sl8y4op5dlJOTw7x580xtPXr0YMiQIcfcR7fbzWeffWZqu/zyywkLO7qygeXb\nT7DNeL92WbfZqX7+CwhveZ23rWUBhs4yroVdgt1XJhIi//GLhwWLLwdpiuD9EaSl/KGKc7/++ut5\nwM/A1Ab+rgTmA3cDc6ZMmVLQ3OOeimJ2J4qc4mJuWyniFwwJkEQqmDWpOzZLw5qL7hI3M6+YTvlu\ns4Ogy8XdGPPvlg9SdX8Zvq3/IpA7FdT6kQdS/Fk4ej+BFN2nwQyLw6wt8nP1ghLqzPUR5xD5flxM\nk0aPX9W58ZdSU8EygAirwPSzYzivQyMF4Q5TtZ0O6g+ElvtZWBHBeYk7yfYkIWBM4umyk4OFO/D+\nto32/fpje/8/WFabJ//Udp1qnBZhp0fBW0GyIYWnY0kai9wmE8uq5WiiG91q/v5FQWeQPZvxztVs\n8XcgTzUbGWWOUH4oDaNsfz5hxQfwVgUIuDVUn4CuiAiahKBLh5wWrXs+CQgIHDqOJiGqEk5dIgKR\nWKCdHiBNdxNaWcSOrJ2s37CeNetXsm7jKjZtX0927nbyivbhclfRPtzGzd1j8Os1UlNNURnQ+TrX\nw5oiPwNirETbzQPTuoWo8tflMfevP1K3Jnqns1PJfGhkk45AwRKKnDAazVuAXp1b265bBTzJHoTw\nZCz7KxDqOIyFqgrkxT+CzYHWqesfonC3HhWDMngU0rb1iBWGbrPgdSMvnYvWriN6YoeT3q9Qi8hl\nqSH4VJ2VR9wvm0sDLMzzck57O2F1sim+3O3m2zrPowSbxr+HRB23QoXHQkK/JDwlHgo2Gg4xd1E1\nxdsKSR/fpdWTFEFax8koZhdpE5m+y3g3Z1cq3JThxPH/wND+IxIszh3kMCfTnqkoqeS+XDuKaNgW\nj7WZSoJck6msS04m770Oj2asf2JgBKNaUDfsSFZsm8uOAxtrl532cC4ZeQeydHRN+dxfcph730+m\ntjYZMVz9ya1s2DYTUTNqJui6nVKXTkpkTeCEFJuJtcOkVve7JQiCwOhNs4lab9QIUBCZ3PMeiqzh\nLLJ1pfOOX+nWs6YY8S+PzqN4uxHgER5j4SL7NCTMTgvfVVPwX3oryJYG3zOiPY6UtHMpaTOfA4FK\nLLtDTWP0/HWFFG/ZSadzeyC24l0hiBakmDNQC5eAamTMrDlYzvWbuvLSFj/ZasNBZWEWgYkpDv7c\n3cngf31P/5830Sm3kIhKNwNvG0D7Yck12eRJZ+GN2Ic3Kg9rgYZYR7VHUFXk9cso37aRXc4YdrVp\nR0pZHqH+OsXM925i3Ki+/Gl0BiOTbETZRIq8KuX+hv2BFZFOlkihfLytCj8CXSItOGQBVdMp82nk\nVavsqlTJqVIo82kE1ixFXrcEi64ioqOHOPHd8mCrikO/ucXFplIjm/uKziHHLRhGa98Ry7xZCIcM\nGKG6Ei0mES25psB2ZMcots3YUru9K7+KmC6xRKeZxy1RUVG4XC5KSowAxsLCQhISEggPPzYVAovF\nQl5eHi6XkSHsdDqJj48/+udLTkP+9XsEf824XFAVEEDt0bScdkPE2EU+2+mmMlBzrRQdBsXZ6Bzx\nx69zESy+HKQpgvdHkJZyMuyZk5Zx0RQZGRk6Lcy0OMwfKeNi9McrWasaBb5EXePD/lVM6N1wlJC/\n2s9Xl3xhipwASDs/nbGvjm/x4FQtXY9v63/Q/WX11gmORGwZU5Cij54Sm1etctbsQpMmvE2C78bG\nMrCJVFivonPdwhLmHKEx2c4pMeOcNmRENj041LxFeFbfBYEaw6vgoMTSvDYMy3Axt2Akom4eVFu8\n+fTP2sOQKnMEkdquI54HXmpV9MYpR9exvf00luXz0IHS9jZKujpwxvuRRXMEkqYLfFR1Js+UT8Kt\n1zdGU/RSLlE3EUd1vXW/JzRUBIsKNitb/SFsU9qwQ2hPmdD492cV4c89wri3d2htZM3h6ILkpGQ+\nH/cxFXuMqKqQ2BCumnM9IW2aV4xZ13WUfV/j3/UeHJG+bqmKJXKxD7GovmyS0mMgvlv+QIW7vW7s\nbz6FfEQ9D10Q8F/+JwLnTj5ljprZezzcubis1mA5TLxD5JOzohkUV2NEjv+xiCV1MjRubB/gxTEp\nJ7OrTaIpGt/dOouc+ebow55X9+bMp1qecRek9ZyMCCVN1+k3o4DcKmNi68mB4UzpcWpqMAU5NoIZ\nF0EOczLtmS8+mM/tQpfa5UShlNXt76t9HW+wj+f8rItq17dzSmyYHN+8yPQGUDWVl2b8jYpqI5Dh\n7H6XMKLX+KPuW7m/gs/HfYyv0rANbBF2Lp99NWERB9i85BGWFgzGohnjJg0fFyb8SGgoOAa/jRjS\n8uLJraKyHOf9VyF4jHHzu0lnckf6zbXLIYKX6XHb6Nr5DD4950NTgMzEbuvoEWdI9+iCgO/G+1BG\nnFfb1tR7RtM0Pv/5KXJ+KSTsqw4IAbMdmNBd4oKPbyYkpnXvC616D56191Lmg2fLL+Zz1wj0RjKv\n24cI3N4jnGvSQgi3iuyem83sm2fVrpesEjcsuxVnrCH9o+sq/h1voubOJmxFAMfu+pkTZfYwfuiS\niUe2cf3WechuY/JbDwnF/fhbtcWydV1nW7nC93s8fLClnHx/44FzAmCVwNcMxVyn6iVC0oltE073\nKAs9omv+ekZbmlQUONynnl8WsL/aONHssTHHXOOiLt6XHiFmg+E802IScP/7k1ony7c3fU3OPMP2\njewYxdVzrzfJ4AL4/X5mzpxJVZVRR8LpdDJp0qQW1QZpiE2bNrFihaF0EB8fz4QJzcu+svw0HdvU\nN2qXdasN9/NT0SNann36t+XlvLfd+L3emOHkxaGnof3fQoIR9UGaInh/BGkpJ8OeCYbo/U54fsEq\nk9MC4DznnkadFrqm8/O9P9ZzWnQck8q5L5/fIqeFrqv4d3+Cd8ND9Z0WgoQl+XIcg95qltPCo+hc\ntaDE5LQAeGVoVJNOC7eiceX8+k6LlDCJH86LOarTQtcC+DY/U+u0AIhP0Bh/7li2bwllTOIiNMxZ\nHAF7ImszktmgGQMdLTYR733Pn5ZOC0VRyJn6Gt+X5PPWgJG8OOxCPk6ezPfu85mZO56Vhf0o8Rol\nZERB54bwBcxPfIxM+9Z6x8sVonlJymSh0Am1iewKHQ0NFQ0FTQjU/0NBQ0WnZTUmmouIhBCwIrig\nu9/NZG0fD6nLeFb5hr+qs+mp7a6nfevX4PmNVQz+upDv9nhMOr2L/rnQ5LQAGPOfsc12WsDhuhcX\nY+/9jKnuBUAgrIjisQF8A/vX20/efKhw97qlzT7X7xp7CN67n8R/REE9QdexTf0vto9fBvX4aOa2\nlAuSHcwbH0vncHNkVYFHY/yPxXy6s5q9LsXktAAYF3tq+tsYoiwy9rXxxPUwR6pt+vQ31r29+hT1\nKsiJQhQEbsgwF+n+MKsa7XcQhBIkSJDTg3lF5vfa2ND1dWIIRB7aN8K0/vZuzlY7LQC27V1nclpY\nJCsD0kcddT9d11nw0FyT00IQBca9Pp7wBBXf5qfoHOJBEPebxpgiNn4u6oecdN7Jc1oAtq//Z3Ja\n+C0Sc9K7I9bpm1u3c2NRR+a/M8vktIhzVtA9to7TQhTx3fqQyWlxNERR5JLR9xN9RjgVN+xGCzUX\nxD64RWXa+P9Sun1XI0doGiGkA19HPM3IvKf4zDWqQafFwMpsPvEvYP0lidzZPZRwa8026z9YZ9ou\nfUIXk9MCQBAkrOl3IqdeSuVwKxXDLOhHBL9Heau47Lc59MaD/64nTDUdBLcL+6v/AJ/n0PEEukVZ\nuDQ1hHH2fNK0IiKrGq4DptM8pwVAtWQnDwe/lQT4PNvNQ6sqmPBTMR0/z6f7tINcNreYf62vZF2R\nv967eY9LNTktbBIMjD2+0p4HM8ej1alfIxYfrMnsPsSwB4abMnLLc8rY/PlGjsRqtTJq1ChTW3V1\nNUuXHruNkpKSYlouKCjA7XY3vPERBM6cgFbHSSH4fVi+n9qqfpzTzhy49/N+b5M174IECRIkyKnh\npElFNcWUKVOemDJlyqyjb1mfP4JUVFFlFTct0/DVqTmQSAXfNCERtfKV5Wz69DdTW4fhyYx/eyKy\nrfkpjpqvBN/Gx1EPzqu3Tgzvir33P5ETRiGIRz+mruvcvriMBXlm58Ofe4QypWfj0T3VAY3L55Xw\na77ZkOocLjN7XCztQ49+bv/Od1GLlpjaLB2vITTjKlL6j2bnd/PonprN7qp2CBjH0+QwDiSEIuxz\nkRhpw/P3l9BjEo56vt8Le/NzWLrmFxYv/5U1q9aSE7BR7kxAkcMRBGMgrCFR5o9iV1VH9lUnoSMQ\nZnEhiRoRkpvJzuUkSmWs8Kbjx7gPNUFkpxjDVk8UHfbnM7BXMr3O6Env3r0ZOGAQAwcOZMCAgQzo\nP4AB/QcyoF8Df/1r1vfvP4C+ffti6ZDGY3tDWaNHskMMI0ewsV+wEB1lJTFSBFlFExRUFHRdQ6B1\nesoiEqGI9NaL6akfpEAIpUwwOx8q/TozczysK/KTbvfhWZXPxtfNhQx7XduHvjfVdzI0qw+OBOS4\nEWjlm8xOQUHBG1sMaSOw5BYhBIx7X/D7sKxcgFBRitq1L8inecqyIKL2GoQWHoW0aZVJJkvKyULc\ntQ2l71CwnPyaDG3sEpemhrC1LGAqlKjq8MNeL6uL/OS5jQmHHmEq17dXfneps5JVotOYVHZ8n4W/\nyriX9i7ZQ5v0NrRJj2li7yDHi5OVWt05QubNrS60Qz+lMp/OkHgrKWGn+bPi/yFBqagghzlZ9ozf\n4+evWeCRjIjpByNnkmypkSzKcwzkyfzhtevCLAJvj4jGLrXecfHtsg+pqDYkZ/qlZdKz4+Cj7rf9\n662se3uNqS3zwRF0uSgd38Z/oLv3AZDkqGCXOwxBMwJFAnoYJQXFpPUe2ep+twRxfw62D/5jCvNx\n95WIy7Cz1x3CXtWoYVCt29mR6GDg7p0oFTXP7XHpm4hx1jg9dEnC+6d/oJ4xut55jvaekSWZ9HZ9\n2FC8GFd6IZZdoYhu493gc4lkzdpEQjeF8COKJDfFtrIA1y4s5Z1sGY9eP9r+XMs63tv4Dk/smkHn\nq65FiEusXVe8vYilzy4ybX/2f8bijA+tdxxBEBCj+oIg4hc34e0goudLWOt4FUR02ubtQg8JQ+0/\nHHnLWmNdZRlCSSEHug7l02w3f19ZzqNrKlnvC6dUcOK1WRkzdwPRZVUUxUagScc3hrMqoLOrUmXJ\nQT8f7XDzYVY1O8oVdB3aOiV+2uflx31GIN2wBBvXpDubOGLLKXJ7sLgqcObn1raJe7MJnDURJJmQ\nNiG4ClwUbjKUuQs2HqTHlb3rzSGEhoaiqioFBca2ZWVlREZGEh3d+vpaNpuNvXv3mpwVYWFhxMXF\nHX1nWQbZgrxxpenzKcPHgaP5QWYASU6JN7a4UA6NpyoDOhckO4hztM72PF0ISgEFaYrg/RGkpZwM\ne+Z34bg4Fv4IjovbZq1mk2IMaEVd47/9/fRql9jg9jt/2MEvj5gdDTHdYrno08lYHM3X2lRK1uDd\n8DC6e+8RawQsKVdh6/ZXRFvzByUvbnTx1jazrNC57Wy8NiwKsRG5kkq/xqXzSlhaYHZadImU+XZs\nDEnOow8clIJFBHa9a2qT2gzEmjEFQRCQLDY8Md3wrVpJWvLOBp0XBxNDqMx20+7a65r7cU8Jla4K\nVm9cxuLlC1i+fDm7s/ZQVepGDzS/ULZXtbPfE8NOX0f8cjROi4JdqKanbS8XO1eQo8SxWzE7b6qs\nIayJSKFgdj6Jq4roPLgzoW3CWixDk12pcOHcCvb5HJQKkRwUYtgrJHJ+z648NLof3TN607t7P/r1\nGsiAvoMY0G8gPXr2IKl9HGHRDmQH6LKCih9VU0CnWZ87FD8D9APE6tXkCpGmOjIAu6tUZuRLHNh4\nkLbZxUiHZgSjUqM5/60J9dKnW0JN3YsxaN5C9Ooc07qAdR/+vn2wuCIQS8zZU1JuFvKaRahpPf4Q\n0lFapy5onbogr1+GoBhRgGJhHtKGZai9BoPz5Mvd2GWBizs6UHSd5Uc8h+o6LQCub6/QPUz7XQ7k\nrKFWOgxPJmvWNlS/YeDvnreLdkM6EJZ0bJrEQY7OyRroh8giOyoUtpYZ2T9uReeiji0z2IOceoKO\niyCHOVn2zNxZK/hENTL0IoRqnm7zOdKhisiPl1/DZo/xDLu5q5Pzj1ZfrgnySnKZt36Gqe3izFsJ\ndTT9Tqou+j/2zjswjupc+7+Z2b5qq96bJVsucu8F22AbGwM2OCSk0MKlJFxIAoSUSxJuKLkQUkhC\nGiQhhBYgYIqNe+9dkpssWd3qvW2dme+PtbU7WkmWbLAx3z5/WWfOzM7uHu+8533f53m6+Oju9/E4\nfL9zSdOTueYXi3AV/0XTrGTVqRzrkpE9cYhn43sBgTbFybjcaUjSZ5+ENP75SaT6mp6/PaEC7XND\nyZj2P0zMzCX/dB7VfgzvJjUMxxQDY4+XEUk3C7OOIwig6vQ4Hvw58qQ5fb3MoJ4zJoOF1Njh5FXv\nwD6mCd0ZC1KrrzlEdkkUra4iKqEM26jcAWN5t6Ly9KF27t/WQkVnICUhU1fLH6P/zEORq4mPaMFo\nT8D1lW9rZEB3P7+T+qO+xHfilCSmPji939cUBAHJNhZEI86ufN43LUJyKcR3NmvmSSUnQFWRU7OQ\nanx7WamyhB8WG/llW0JAHAdQlRzFTSv3MHfbMUx2FzWJNjz9NApaJUjpqiNUdgAqTnFoTTZdHpX8\nZjfvldp58VgnB+pddHp8DTy3DbcyM/7Tk4kC7xqxx6UQc2gLguJ9/4K9GzXMhjLMq+QQlxtHwet5\nKG7vcY/dgyiJpMwM9J+Lj4+noqICu93nKVJdXU12djZ6/dA9Ps7B6XRSXe1jGXk8HoYPHz6oc5WU\nTHQ71iA4vIUPQZFB9nj3EkOAXhQ40OCiuN33O5NolT717+TzhmBiOoiBEFwfQQwVwcLFIHClFy4O\nlVfyRGE4ih/VdaG5nMcX9N3h3XC8ng+/+R6KxxeImaPMrHjzy1iiBtexoaoy7pJ/4ir8PShadoRg\nsGHK/Sn6xGsRhMF3oXxcbue7u7TyOjkROt5ZGN2vaWiHW2HFukb21mupzKNtOj5aEj2obgelqxJH\n/s9A9QUcgjEW0/inESQf/bO5pQUpcxbmY7tISTodULyQdaG0JuhRfvsytsXXojNc+u7v/tDS3sT2\nvRvZsn0TBYeP0VjbituuIqjn/3xUVFTJjTlCR3xKDDmjRzBr5mxmzbiKCWOnkTp8PqEZNyFFTQXF\ng9VxiuXm3WTo6tjtHIFD9WNtiCIlGfEcjYC259YiVnYRPy4enWlwXb6l7R6uX9NIXS8ZsW+NsvLk\nlPB+N046SUdYaASJcSlkp+cwJmc8E3InM3nCXX8JFgAAIABJREFUVCZMmEhSahyGUBFV58KjOnHL\nblCEAPNwAUigg2lqJTIClYSj+r2mgkBZXCxH56Rjm9BOZGQLVz+6kNj085vFnQ+CqEOKmYmgD0Fu\nOYy/PoAi1+DItiAlL0AqPqk17u5sQ7d9DVhCUDJzrnjjbjUuGXn8DKS8PRo5BbGjFd2eTcgjxqJG\nxgxwhc8GoiAwN9FEdriO9VVOPH2wxHUC/CzbiUn6/AZylmgrcWPjOfXhSdSzxTdVVindcJphS4Zj\nirhwY9Ugzo9LGehHm0ReL/Z1Kha3e7h9uFVjLB/E5x/BwkUQ53Cp9jMvfpzPEauvMWqp9SDXW70d\n693GdO6rWg5n4ydRgJeuiiTiPLr9A2Hdwbepbans+TszYRSzx5xf/mjDY2upz/cluyWjjmX/XIHO\nuRN3yT+0kw1RpBqbOG03gOz7/RVUC6cOv8PYSQsv+P4HA/HYAYwr/6kZa5+pRzfrB0i2ccSYJaYm\nxrLr9Cka1PCeORVKDOHTu7mzbRvRum5UvQHHd59GHtd/Un+wz5lwayS2kGiOVx/AOaYNsU2Prs5X\ngFJkkaKN7YQY9hAzcTKCGLinqOmWuXVDE++U2APEXk0SPJJ0lN+FPcswvbfxRrEKuNMSEDOv64np\n7S121j2yBlX2XWHO4/MGxQSVIkZzvEqkrFGgNDKJZnMYGS3VSH5xsthQg9vlokEfSqjTJwO1oKWA\nj6MmUm8ID7iurJOQR8QxcncR6eUNTDpYDCrUJEeiiNq17lahRR/Cl+t380HB8zzZtYt7Hvo6d+WE\nsDjFxOhIPbFm7zktTmVAUVxZRVO0APhKppmxUZ/unrO5uRnFaCbKoEM67ZMCFiuKcF+9HHQ6DCEG\nZLfMmT1VPcfr8msZdctoDCHapL0oisTFxXHq1KkeGSVZluns7CQzM/OC79NisXDsmJ9ReGcnI0eO\nHFwxRNKh6o3o8nw+GV7WxWIwD43B0uFSWVvlY8F0uRXuGPHpsmA+bwgmpoMYCMH1EcRQESxcDAJX\neuHiGx+epEr1+SmEqA7evSGNMHNggqm7qZv3vvY2jmZfx4OoE1n2ygpiRg6CWgmosgPn0V/gqVkT\ncEy0jcc0/hmk0KEFISXtHr60vgmXX7RmMwp8tDiGeEvfyXWHR+WrG5sDOpzHRen54NpookyDSMrL\nDhxHfgzORt+goMc0/ilES5JmbnNzM6bmOkas24g5qgtbXC0lnUkIfrJIsi6UxiQjYb9/CcfoUYTF\nDO4z/SzQ1NrItr3r2bJ9E8fyTtLW1IXqEQOS8b2h4EbnbiYyQs+ICbnMu+pqZk2bw7hRE8lOzyE+\nOhGTMbBzTjRGoYuZiT5xKYIhjBzPPm4xrafCE0ORO1Ezt9kQysHcYZg4TPuv1+JxhBAzJhZxALp1\nTbfM0k8aOdOlDen/K8fKs9P6L1qcD4IgEGoNJyUhnZysMYwfM4nJE6Yydtw4IuPCEEwyLrUbp9uB\nqnjZGToURgwgH+UQDBSY0mlIiIfaPI7m76C4/Dhdjg4iI6LR6y5sgyEIAlL4SKSIMXia9muLhp52\nnCFVqHPuRl9ahdDlM8ITFAVd/l7EqlI8YyaD4cruAlLDbXimXY10qgCxxfd/V3A60O1ajxKfgpqU\nflnubZRNz8JkIxuqnAGm3YIAOSEKmRb1cx3IhadGEJoYSsm64p4xj91DxbYyRizLQWe68O64IAbG\npQz0k60SH5bZaXR4f1NVINwgMOsL3iX4RUOwcBHEOVyK/Ywiy/ww30Gb3peU+174Rww3eJkC/3Kt\nYHO7r+N6WbqZOy8igddpb2Plzr+j+vmMLZ32DaLDB5ZkPb2umD2/0uroz3psNmnTBZwFPwfVr/Pf\nEAmuFkyiSpHdiVuOQlB9eyi7YEYQu0lMGLws0pCgqhj/8Bhimy9uc8UJOJbdjCHtlp6xaIue6ZEh\nbCssp1nysUuPK6lEjOlgTn0Zru/8H/LoyQO+3FCeM/GRKSiKTHlDIa6cdlBBX+4nz6QKlO5S0XWt\nJX76eASdLx7eUevkprWNFLYG+notTDLy9sJolrmbkIo3IIf54n9FbAHRgBQxBoAj/zhExdaynuOh\nSaFc/fRCjcdCf3A6nWzamY8se7/vJmsESoqH5KYGRL+eN529E9xu1LMxPoBeVZjfcpxX4+fgEvWk\nq81MUyqYr5bw3AwbP7wxB6NVT8W2MvQehWGldYw/XELE1GRKJAO9+1cOhWbyavxVJI4cwdjRGUQY\nJdJDdUyLNXJDmpm7c0L4bm4oN6abmRCtRy/CmS5ZszfuC6srHayvciCJXhlI/UV4yZzDuTVimzAN\n/cYPEM56yQlOB6olBCXb+93E5sZz/J0C3N3eD1PxKLg6XGQuzAq4ptlsRhAEDUOitbUVm82GzWYL\nmD8YXJRcFGdZFzvX9TRCCYqC4HYhj58xpPuIt0i8eMxX9KrpVryNIIYvbiNIMDEdxEAIro8ghopg\n4WIQuJILF2/tz+elOm3wfkdMFSvGBdIkZZfMR3e/T+OJBs341c8sJGtx9qBeT3W14DjyPyiteb2O\niOgzbsOY8xCibmgbFIdH5eZ1TVT6GY3pBHhrQTTjo/tO8HoUlbu2NLPhjJbtMTlGz/uLorENpmih\nqjhP/Bql5Yhm3DD82+hiZgbMb68sJ/u159G3t2KqUDCmeIiKrgkoXihSCGeSrWT/63WK3QoJubnn\nvZdPC3aHnR37NrJxyzqO5xfS3tQNHmnAYoWKguhpIa69jOnlR7jx5D4mzlnEiJvuIikuFaNhaB3W\ngmRCihiNLuVGQsNSWarbwDD5MLscI3D4adrKSBwyDqN8rI1Jjjcp+9sBMMRjGxYVUIRodSosW9NI\ncbuWYn77cAu/mhHRr4zYxUASJSLDo8lMySZ35AQmj5/KmNyxbOsUONTeCXQTSRfT1Vqi1S7KBFuA\nfFSDEMJeIQWjArFdzdRXN5Kfn8fhY/uoqitFr9cTHmobctGlx/ei7Siqy4/2rrhxOw7jnrcCiTik\nimLtedXl6PZuRs4adVlYCZ8qTBY8MxYg1lYiVpf3DAuKjH7/FlSdHmV47mVhmMRbJJalm/jr8S5N\n55wKbGzUIauwMOPCi22XAjGjY1EVhTN7fZ10jhY7tUdqGLFs5IBFxiAuHJcy0BcEAUWF9X7P0ZJ2\nmftGWT+T39QgPhsECxdBnMOl2M/s2ZDPiw5f/GDEzXNRr2IQZFRBxzeq7sDpx7T9/SwbSYOQbO0P\nO459QkmNr+M7MjSO66Z9fcDnp7PNwQd3vYe7y9fYFJsbxzVPz8KZ9yNwt/kmiwZEayqq07s3SjW7\nKOgCUY7viZ1F9NTWHmbSxEC/iE8DwqH1mNat1oy1X5eNfvpPEQTtZydUddD96FpKpsbTKfqaiLZ7\nRmMd3k7mpEWYzxO3D/U5kx6fQ11LFY3tNbgzulAsHvTFoX57C4HKQ2Y8Z1aTND0VwRjN7492cv/2\nFjp7NXAkWET+ONvG4xPDsBkljG+/hHlvKc5UEdXkx2BuOYIYkoFqSGLtd1fj6vR9l1P+ezpJUwdn\nmH7o0CHOnDnT87dedDM17RCHUlKx15qIdfiKRUZVRkTR7JiiPZ0sNbcQbW7nKrWMTFqIppur58zE\nYDAQPz6BmkPVtFV415TR5SF1dzGP3j+ONrORU23aok2XZGKlI4pDDS6mxRoCmEiSKBBnlhgXZeCm\nDAsPjAlhZpyBcINIg0OhzdW36XNNt8LqCgcvneyiwSEz2qYn5CLYk+fWSGRiMoK9C6noqO8eK4pw\nz18Gej2SQUJv0VO2qaTneOOJBoYtycYSHZgPiI2NpaqqSlNoqKmpYfjw4RcsGdVbLsrtdjNixIjB\nnSxJqEYzuiO7eobEitN4Zi0CS6B/Sn8I1YtsOOPQyIplhklM7CeP8UVAMDEdxEAIro8ghopg4WIQ\nuFILF7Is8431jbThC1wTaOPtm8ai60OLdfNPNnL6kyLN2NjbxzPtocF1FShdlTgO/wC1u1wzLhgi\nMY19An3CgiFJQ53DY3vaNPRKgF9MC2dFZt9a24qq8uDOVt4rtWvGJ0TrWXltNOGDpKN7qlfjKf+3\nZkyKm49h2F2BGyK3C9sfn8BS703iCQoYK2TkVD0JkZWc7qN4UZxiY9bG1ezOLyJj3rxB3dOF4sTp\nAtZtWcX+PQdpaeg8b7FCEV2ERBoY6Wlm2e6PuaqikNz6GuK6u5BnL8b15fsuOuErCCKiNQV9wgJG\nJ2dxo7iaqvZuijxa9kW9HMEH0jRSRlcyvuNvnHr/BDpbBiHxXhZRl1vhlvVNHGnSyoF9eZiZ38+y\nIX0KnUWDhU6SmJWRRHLyCH5Vl857nhEcFGIIoZGZ6kmMqNQQoZGPkgWRQjGGk0IsKWobYbhAluhq\nc1J6upyDeXs5VXYUu7OT6Mg4dNLgZLO8vhfX9OF7oaK05+POyUTIvQXdsUMaPwihuxPdjjVgMHl1\naq/kBKVOh2fyXPC4kYoKtIeOH0JoqkceOx3ES59k31ztDPiNOofD7RJHmtwsSjZdlFnpZ43kGSm0\nlrbSVOhjtXRUtdNR3U7moqzPdeHlSsWlDvSzwnX89UQXZyWq6XCrjI/Wkx0eZNVcKQgWLoI4h0ux\nn3npvf3stfhkouabC/hyiDfpd0rI5a8tPl+FqTEGfjjhwr2RPLKbd7b9GbfHV1ydP345qbGB3dz+\n2PrEJs7s8UlLiTqRG/6+HH39b1A6tPsgXcpNyPVbe/42iNAaOQVHexOK4mM1KGoIp459SO64qy/4\n/fQFVVEw/u67SH6JeWeyDuXOPyD2IVG06Ydr6CpsJP1kLccnpeISfL/VO1yjSK59meTkCVgHYNYO\n9TkjCAIjksdz6kwenfY2PMl25CgnhpNhCKovDqg5EUpL0XaekFL5azEBjIP5iUZWXhvNhGgDgiAg\ntLdgfOVXiB4VwxkFR6bk7Vw7C7lxL9WFcRS85dt36kw6Fr9w3aCYn52dnWzevLlHmgggLj2JnzTO\n4unOW/h77HwSnC1M6PRrfunjOnFNFch6PfWh3s/LZrMxfvz4ns8mZVYaJ9491uOloioq9kNVPP7D\nqSzc/Bf2CtE06bX+ayUdMq+e6sYgwaRoQ7/NAjpRICNMx8JkE/ePsrK3zklZHz4h5+CUYX+Dm5dO\ndtJoVxgTqb8g+Uf/NSKnZ6Pf9GHPXkJwOVFNZpQRYwGIGRVL0apCHC1nY17VGyvmLB8VcF1BEIiN\njaWwsLDne/F4PHR1dZExBKN3f/QlF5WTk4NhkJLNSnImut3rEbq9jAlBVRCcduQJs4Z0H00Oha01\nvt8qWYWvDPvi+oYFE9NBDITg+ghiqAgWLgaBK7Vw8eS6vazt1LItnhjextSMwC6U/H8dYd8LuzVj\nyTNSuPaFpYPqnJVbCnAc+RG4tKZmYkgGpgnPDVka6hz+U9LN/x5s14wtTzfz5JSwPpNiqqry+P42\n/l7YrRkfHu414rYZB9fVJbcX4Tz6NPj1QwvWNExjn0AQewXDqorx5WcxHzugGfbMXopj1vcQK9eS\nbKsIKF6oooXjKXEsPraDHWt3k3H90kHd22DR2t7Chh2r2bJ1M5Wna7yeFQOYTCuSC1t8CNNmTGPh\nvCVMbKxl+HuvYFB8n4GcNRrHf/8vDDJ5PlgIhnAiE6dxc04yofXrOdwVhQM/7wtEdjlHskMaxeLs\nrUQ1vUP55hMI0cP4r4My22u1cmCLU0y8PDcS3SUsWvgj0Srx9WwLDXaFvc0SZUIiR8RhnBEiMeDE\nigOnoA2Y2wUTe4UUHIKODLUF6eyWTlAl3HaVuupGDucdJr9wP41tdURGRGE2Dhzw9vhe6CzIzUfw\n3yaqXaW4zY0o1/0AXclpxNYm33mqiu7oAcSyQq90lPEK9i0QBOTRk1CiYpHy92j8PaSKYsTTx/FM\nnAX6S9v19LP9bZz2YwiJaDfxp9s9rK5wMD/RSOQgGGKXA4IgkD4/kzN7K+mo9nUlNp5oQBAFkqen\nXMa7+2LiUgf6JkmgvNNDnl9huMWp8JWsL+5m+4uGYOEiiHO4FPuZnx5ood7oS6h/O+wTco1eU+Pn\nm5eQ70rrOfbMtHByIi68CJpXspv8Et/exag3sWLOfeik/q9ZuauCrU9s0oxN/vY0Msfux1OzTjOu\nS7oepbME1eHzwRAjcsmY+CibCv6NSYlDwPt8FhDpVDyERYQTbbt437IebPkj5h1a5nf317+KmDE3\nYGp9fjXbn94OgLXLRVJVE8fGpvZ4HMpI7HNmkVX3F2yJ0wg19v05XchzRpJ0jEgeR37pHlweJ3Kc\nE09SN8YT4QiKLxZvLg2hucJF4YgkVL8Y/bHxofxuZgRWvyS6ftOH6Ar2ASC6QFKicSZ76ImWVBnR\nnkfxzlg8Tu++ZNSXxzD8+pxB3fPu3btpbPQ1Xnh0Jr7XNo3Ss8bysiDxUdREWnUWFrQUDLCDgtTW\nGkojk+g2mMnKyiIlxRf/GEIMRKTbKPq4sGfM0WLHWVnL4so3uLtmC6KqsDssW+NH6Va8TS6bqh3M\niTdiO0/jnQr8eH8bDr+6xZQYfZ/m4bIKBxvdvHyykwa7wmibfkiyRZo1YjAhuJ1IhT61BansFO75\nN4DBiCAKhCSEcuqjkz3HW8taSZqaTHhqYPGtL8molpYWIiMjL0gyqi+5qJCQkEHLRSGKqGYrukM+\naTmx8jSeGQsgZPCF10ijyMsnfd57VV0y940K+Vw3KF0MgonpIAZCcH0EMVQECxeDwJVYuGjs7ORb\nexScfp02Y4Qa/nBjoCF3/dE6Vn3rwx6jVYCwlHBuev0WDNbzJ/M8tZtxHn0KFC0rQoqciGncU4iG\niH7OHBjFbW5u3dCs0e7MCJX498IoTP2Ycf8qv5Nf5XdqxpKtEh8viSGuHy+M3lA9dm8Rxp8qLpkx\nj/8FojHwx1X/0WsY1r2rGfOMmojzWz/FGBmNi9EYG9eRFB7IvEA0U5CUyNKqQ+x9fxOpy5cN6h4H\nQknFKVatX8mRA/l0tjgRlP7ftyK5iEoIZfrM6Syadx2jh48lKiIGqegopj88geCnGaxExuB47Fdg\nDe33ehcLQTQwNXsM18V7KCg7TZWiDVDr5Qje6pyDZFC4JmkbQtMqnPZ6St2xNJ/tfJsZZ+CNa6Iw\nXuZA0CAJzBZc1P16C8WpsXj03k2VLOh6ihZ6ERT/bLUgUC7YOCwkEk0XMWgLcAIiqluktbGTY8eO\nc/jYXmoaKwkLDSPE2nfw7PW9GIUYNgK5aS8ovgSk6mrG03kAZenDiIRoDPYAxLoqdLs3IGfkoEZ/\nihvxywAlLRtl+Fh0h3YiuH2FLrGhGilvr1evdohmexeK6i6ZR/e0aQoVv5sVwcFGF11+popNToV/\nn+5mYrSe9NBPt1j4aUHUiWQuGEbx2iKcrb5nQNXuSiLSIogeeYVLjn3OcDkC/QSLxCunfL9FpR0y\nKzLNg/KJCuLyI1i4COIcPuv9TOGBYp5u8zOuRuGXUa9iEV0oiHyv8Y4eSdC0EOmipDxVVWXlrr/R\nYffF6lNHXM3ItIn9nuO2u/ngzvdwtvmeVbZhkSz832Q8xS9o5ophOehSluMpe00zbhz9IwzWRGRR\noKMxD8XPqFuHhdLyzUye+OkYdSv2esx/fgqp2xcXODMiUL7+bJ/NW5vveImWRt/cUZ4zLEwqZfVZ\nLwgAh2qkwJVCZv1LWONmENEHM+FCnzMmg4X0uOHklexCURWUKBfu9C5v8cLj27fF1bcRX9fKiZHJ\nhJskXp0fxZ0jekkQqiqmv/8SocP3/cpX34YyejZy076eMb3RTfzwVop3xaMqIot+vQRL1PkL683N\nzezcqfU4+Q85VIi9EuOCgDtGJDvpDGnVTQj9+EmIqKS01nE8NpNxk6cQHq5NyEdmRdFZ00HDsfqe\nsbrCNhJCWokzdzCv9QTLI7rJS59KVZeWMVHdrfB6UTexFpHcSH2/bNaCZjd/Ou5LjIcbBPbfHMdX\nsyyYdQLF7R66exl3+xcw6u0KYwZZwOi9RuTULPSbP+qJrwW3C3QG5JETALBl2qjcWaFpcmk61ciY\nW8f2+X7i4uKoqKjAbvcxk89JRul0Q4+HXS6XRhLM4/EMXi4KUJIz0O3Z2OMPKKgqgr0bedLsQV8j\nyijynxI7zU7vIlJUyI3UM8r2xWSwBhPTQQyE4PoIYqgIFi4GgSuxcPHtlfvIc/s6CSRV4aVZBtKi\nIjXz3HY3H9z+Lt2NvqSE3qrn5jduITw5sAvCH6qq4i5/G9epPwDaSE6XcC3G0T9EkC6sU9vuUbl5\nXSNn/LpEDCK8d200af0k8F4+0cnj+7XsjBiTyKolMf2e0xdcJ38X4NFhHPUYkm1swFxp3xZM//yN\nZkyJT8H+/efB5JXoMsfE0dmZRkj3FtLCKzjVkYjgxyZAMJGXkMKihnyOv/kJ1rkzMFqGVhxQFIX9\n+TtZs+FjSk5W4nH0z65Q8BASbWDmrBlcO38po4aPJTI82nc7TXWYn3sE0eFbE6rBiOP7z6PGX5oO\n6qiQEL4xLg2l8Tj57UZc+L4/L/sih/Xd45hsLmaBpYC7wjYz1lCOxRrFnxaMIORzYHamKiqr7v8A\nw4EKxuaXUR8XTkuk9ntVVLDqhB4ZlnNwCHoOi0nUYyFdbcFIIO1bQABZoqPFzqmTRRws2ENlXQkh\n1hDCQgOLhaIlEV3MLOTmw+D2+38iO/DUb0WZvATGLEZXsE+T2Bcc3eh2rAVRRMm+PJ4QnxbUmAQ8\nE2ehy9/bQ/kGENtb0O3bjDxqImp45ABX+HTw1xNdGrr4mEg9v50ZwYpMC5vL22h0+davU4Z3SuzE\nmiQmfE61cPVmPWnzMihceaJHCgGgbHMJSdOSCTvPsySIweNyBPrxFolNZ5yc6db+Di1KvoKZWP8f\nIVi4COIcPuv9zD/+vYvtJp9M1FRjEd8M87Ib9jpH8s+OeT3Hfjg+jKlx/csVnQ8V9UVszf+o528B\ngS9ddR9mY/+687ue267R2keA6/98Hcbm58Dj1/Skj8A08f9wn34F1e5Ldoq2CRjSbwUgKTqDT46u\nJFy1ovoZdatqKMcLVzMu1/deLwSqqqJ+9BiWw/Wacce3f4oQnRowv+nlN9n6H+0eaPGcBmY98yNa\nt+7igJ98V6sSQo0nnLj61zDGziDSpN0jXcxzJswaSWRoLMfLvSx0JdzN6exoLCctGF2++CC6qYPh\ntWd47vrNTMuZHLBfFE8fx7DqjZ6/VUnCec+PEGPGobo7UNp97AVrpJPQGAeyeTKT7p0yqPvcvn07\nra2tPX/XY+U/Yq5GynWWrZNfhv2OH0S8T6ytDWeKiLFK0Zh2+8PscRHh6CRu2VeR+pBkTp6ZStGq\nQk2TR2lLNLnxVRgkmdCv3c2ts0eQaJHYXefE6ffIdSmwusLBiRY3cxOMmPto4Hv7dDebq32x5TVJ\nJm4ZZsFmFJmXaOK+USEkWiSOtbhpdwcWMA41uvlHYReyqjIx2jCgiXfAGjEYQfagO3G4Z45YXoR7\n/vVeRoYgEJUdzbG3fLKtXfVdRGRGEp0T2OByTjLq5EkfS8Pj8dDd3X1BklEXKxeFKKJaQtEd3O4b\nqizBM/2aQbMuBEHgTJfM3nrfHksnCixLNw9w1pWLYGI6iIEQXB9BDBXBwsUgcKUVLvKrzvD4iVAN\n3fRqUwWPzRsXMHfbzzdTtrlUM7b4haWkzAgMinvDXfoa7tJXA8b1GbdjyLoHQbzwbszv727VGIIC\nPDc9nCWpfT/c3y3p5sGdrZqxMIPAB9dGM3IInQyeui0B70mXtBRD2pcD5oolJzH/9scIii+y9Jit\nOH70W+hlbGxNTKWlNoYQz04ywioo7ExA8DOiFgQDeQlpzG4/Qds766nUdxGbM+G892t32Nm0aw2b\nNm2kvqoF1dP3Z66iIpk9ZI8axvWLlzFhzBSiIvrohHbaMT/3KFJ9tXb4vseRx0w+7/182pgzLJnr\nE90cKKmkVtUGhg1KOG91zkZBZLKxmOGGGhbpd6BW70IyhyBYUi7IU+XTQt4rhyl4zVsAM7o85BaU\nkTElmmPGEI21n1vxygSFGQTNJgWgTgjjoC6NUJObWE8jIv3/nxIUie42F8WnSjhYsIczDeWEhYUT\n6sfEEPRhXt+LznLNZhwU5MY9yNERKEseRSotRGxu8J2Hiu7EYcTiY951YLqCg+zQCDzTrkYqzEds\n8UkECI5udLs3oKQPR41L+sxeXlVVHtjRQqufgeLDY0OZEmskzCAyTaqn1ilQ3O1buyqwtspBm0th\nfqLxc2mMbLaZSZiUSOEHJ1Bl73tTZZWS9acZdm0WZtsVvGY+R7hcgb5FJ/BhuS/ZcqrVw90jrV9Y\niYMvEoKFiyDO4bPezzy9u4ZKs6/4/82wDUw2ngbgxbZryXN5E45heoG/zLVdFDN2zf43aWjzxao5\nKROYNnJBv/MbCxtY//AajSbjuDsmMGL6fpRmf6lXAdO4/wUV3MV/1VzDOPJ7iGavBK8kSljMoRSf\n2YxOTvAz6pbokLsIj7QRE3HhTFVPzTqsb61E8rPCco0chrz8vwPmSicOs/FH62m2+1ijibYOpr/2\nCITZuHpaFic27abQ4rufajkKUfVgqP0AffQ0Ysy+4sXFPmfibMmoqkpZXSEn1ImsDvkKx0emMvxU\nNRaHL2kb2uTAUdhBcup7GGInIvh5dhjefwWp3Oc3Ik+YhWeuV1JXsk3E3XQcXLU9xyNTOokbn0xI\n5tTz3l9VdQ0H9u/XjL0r5lInepuLMkIl/j4vksenxpNm8aA0exkeqknAkS5hqFGRHH2bYEd1tyFG\nRKJkjgw4Jhkk4scncPydoz3r0K3oaOwKYeQoBddtDyGIIuOjDXw920Jxm4fidq15d2Gbh7dLuhkT\nGcjEfS6vg9IO30bi3pFWJsX4EvM6UWBCtIG7c6wk9VPAcCuwvdbFOyXdJFolRoTr+mRE9LVGlLRs\n9Fs+QnB59++Cxw2CiDzaq/YQkhBKc1HVrxYPAAAgAElEQVQjzUU+adr6o3XkfmMcYh+FGIvFgqqq\n1NTUaF43OjqaiIihqTlctFwUoCSno9u3GaHTWyAUUBG6O5AnXzXoa1j1Av8q8t1DVZfMA6NDLpu0\n8WeJYGI6iIEQXB9BDBXBwsUgcKUVLm5beYJK1fdAt6hO3l2aTLhFmzgq3VTCtp9v1oyNumUMU/57\n+nlfw1X6Gu6y17WDgg7jqEfQpyy7KFPWd0538+ShDs3YzRlmnpjUt6/Fjlont21qRvaLvcySwLuL\nopgcM/huLsVeiyPvp6D6GRVbUzGNeRxB1AaHQlMd5mcfRvTr2lZEiZJbHyRkbN8J/tC0YTRXhBGi\n7iUrvILCzlhQfd+JIOg5GpdGrr2YmD3H2HZ8B5nz+va9sDu6WbN5JTu276S90Y6g9p3QVgQ30Ulh\nXHPNAq6acQ3pycP6N3dWVYx/fQbd8UOaYdeNt+FeeHPf51wCRIWEcOe4JGg6wZE2Ay5By77YfZZ9\nMdFYSqzUhqi2IjfswHVmI4LOgGhNv6gi2oWgpbSF1fd/iOLxUSnS5qSx9JtpzI2SOe4w0+jwHVPx\ndtYnWUS6PKpGQsitihyVY+mKz2XhyEgkuZFue3e/3zl4ixhdrQ5OnSzm0NE91DRVEhEeidUSgiAa\nkOKuAlVBaTuqOU9pL0R2V6De+BMEVUQq0h4XG6rR7VqHkpqNGqs1Ub+iYDLjmbEA8UwpYo3PoFPw\nuNHt2YgaGYOSlv2ZvPTOOhd/POaj8htE+NMcW0/3XHtLM/OiZJLjotharS3eHmhwc6TJxbUppssu\nhdYXwpLCCEuN4PQaX7LB4/BQtrWUEcty0Ju/mHT4S4nLFehnh+v416kuOs/KTLgUiDNLTIn9fLKA\ngvAhWLgI4hw+y/1MdUkt/1MThurXMPJM5OvYpC4UVeD7TXfSfZaZcO+oEBanXHgxu7WziY/2/BP/\naOmGGXdgC+1fmnD9o2toLW3p+Ts0KZTFz+Ugl/xeM0+XfCP65BtwFf0ZtctnyiyG5aDPvEOzD4m3\npbK3ZBfhSjse2ScxpFdDKSrbwNSJ117Q+1OcjfDx/2A9po0BHA8+CxHa336hvYWWH/+MTSe0XoIL\nnpxL+BSv+bEgiizOTWLn7gKqTL7CUqE7mWG6atqqtyFFTibe6o2vP43nTHr8CN4sN/OxYz4g4DAb\nOD4qheyiGqzdvvfV0WCh9riO5OQ3MUTlIJrjwNGN6W/PInh8SXvnrff3sL4FQeTYKj2S4xCmUN+e\nzSicQrSmI1r7b76r6HDz2scbsCi+ilAZEawSc9BLAg/nhvK3eZEMP+u9IoUNR9CFIJ8tbql6AUeG\niK5ZRNfRt26UdPwQ8thpqLbogGMhCaGgQpWfOXyLPQTj2JHELvLtH616kRUZZuLNEttqnPgrPHW6\nVd46bafDrTI73ohOFHB4VB7d3aaZ98zU8D4lHQdTwGhzqawss7Or1snYKAOxZu11+lwjej0IAjo/\nz0exvAjP3Ot6Gp5iRsdS8Hpejzy1q92JKcxIwqS+G4bi4uIoLy8PkIwaMWLEkCWjestFud3uIclF\nIYioIeHoDmzrGRKryvBMnQd9MN37QoJF4h+FXT2ysC4FZsQZyAz7fMrBXgyCiekgBkJwfQQxVAQL\nF4PAlVS4ePfQMf5Uo+0e+EZUFV+ZoH0wdzd2sfL2/+Dp9gV84WkR3PDSciTDwEleV+nruEu1mq9I\nFkzjfo4uZsZF3X/RWV8Lf+mcYWESby3o29eiuM3N8rWNdPs1pOgEeP2aKOYmDl7GQlVknPk/Q3X4\nujoQ9ZjHP41o6rURsnf3yUqoWHoHbTkTBvwBDs0YQX2xiVDxIMPDyjnZGQOqT4tVEHSciEknwXOG\nyWXVfLx9C2kzp6M7S33vdnTxyeYP2Ll9F12t7h5TwID3o3eRPTKdZUtXMGbEeE3XfX/Qr30Hw5p3\nNGOeibNx3vHw50IeaHZmMqGii/U1CqC9n3PsCw8SU4zFSIKKoHQhN+3DXf0JoCCGpCOIn32STZEV\nPr57Je2VPl1eQ6iB5a9+iS53F1EGeHBaCu0uhUONWr55h1slRO8NbNtc2k1EVZfCh3VmsrPG8q1F\ns4lNCKfd2USXvXNAHxNkic4WOydPFHL4+F6aO+uJi07EHDcN0ZKC3LQfVF+HluqoxdO4E2bfjTJy\nJrqj+3u6pwAEpwPdrvUIioI8PBfEyy/LdUHQ6bybje4upJITPcOCqqI7vBMU2avN+ymv/acPtXOs\nxfeDtSzdzK1Zvi7J5uZmBAGuG5nA6Eg9aysdmt/D0+0yaysdLEg2EXEeo8bLgeicGARRoGq3b1Pu\nbHVQfbCaEctG9tlVF8TgcbkCfUkQ6PaobK/1dcuWtHu4d6T1ohoVgvjsESxcBHEOn+V+5o03drDO\nEN/zd46+iu9ErAJgrzObf3R62RCSAC/NtRF+EZKeW/M/orz+VM/fsRHJXDv5K/3+FlXtrmD381o/\ng4XPLyTU9YLGz04wxWIa8xNURz2uwj/gT88wjPhvJKtWLlUQBOIiU9h8ajU2olBVX4ypqlYKitcy\nYcy8Ib03VVVxHX2W0DXFGraFe/wUPEu+qp2sKJj+8DM2bLLQ1O2TIk0YEcqMX9yk+Tz0Rj0LEy2s\nOVZNs94np7XPOZxFpoOcrDyGLnIcSVbdRT9nVFXlmUOdvFyu9YtwGyUiRxUwotqAu9UXB3U2mak5\nbiU5+d/ow2Ix5Bej37/V9zYjonDd/t2eeFORFdZ+bwOnd4YwbEYtOoMvSJIb9yJFTUE0Bsp+rq10\n8NgnJ5jqOq0Zf0Maz8j4CP69MIqbMy0BEklSeA6CZEJuPtvYJQk40gXELj36Fi0jAkBQFKRjB3HP\nutYrodQLKcYzVK0+QrvTV7yrKPaQtXg45ij/PaG3wLAs3cT+ehe1dm2hZH+Di01nHMxPMnKsxaPp\n5E+ySDw+se+Gv3M4V8D4rxwr8RaRgw1u7LJ271HRKfPKqS4a7AqTY/Q9TTb9rRElNQvdtlUITi9D\nU5A9oCjIuV4mjCnCjKPZTu0R3367Lq+WMV8bi64PvxVRFImNjaWw0CcN5na7sdvtpKen9/ve+oLV\nauXoUV9DVldX19DkogAlMR3pwFbEDq/Kg4CK0NmOPGXuoM4XBIHiNg95Tb79X4hO5NqUL570ZjAx\nHcRACK6PIIaKYOFiELiSChe3rammBV8SLE5t550VY9D7aW2qqsqah1bRcNSnmypIAjf+/WYi0gbu\nGHCVvoG79F/aQcmCafwzSH7mbxcCl6yyYl2TxpTMKMF/FkWT2odHRbND5oY1jdT0CuT+OtfGDWlD\n6+Ryl76GXKdlnxiy7g0sxCgKpj8/ie7kEe29X/dVKiZ4g5bz/QCHZ42irlAkRHeEnPAKTnZGoiq+\nTYQgSBRHp2GghUW1FWzaeAAh2s62kyfZuX0X3f0ULFRU9CEKk6dNYsnVN5KZmo00SKaBdOIwxr8+\ng6D6AlY5ORPHw78A/eejo3ZfvZN7d3bhUfsOwhVE9jhHsK57PBMMJcTpzm5GFQdKy2HcZ1aBx+4t\nYFyg98pgcPCv+700cD9c/YuFJE9L6XlIx8VEsSjFxNgoPZurnZqNgkvxdjpNidHT4lQ13VOKCrvq\nXHxYbmdOehwLx49n0vipJKbG0eFqprOrDeS+v3MBATwSrQ0d5BfkcbToIC5jDIk5N0HLIZB9LAA8\nnXhqN0LmDJRr7kIqO4XYVOd3LZAK85BO5iGPmQLm8xshfi4hiN6uOIsV6egBTTlMKsxHqK/2mnZ/\nSoydNpfCgztaAzriMsL6lmgYEaFnQbKRdZUOOvy64RocCu+W2JkWayA55PPXpZU0LZn2qnYaj/vk\nxjqrO2iraCVrcXYw0X0RuJyBfna4jr8c7+xhN7a6vDrYWeGfvzUYhA/BwkUQ5/BZ7md+ubWU0xZf\no8/XQ7cyy+TVp/9L+7UcdnkZATdnmLltuLXPawwGHtnNu9v/jEf2Jf4WTFxBUnTfuveqqvLJAx/T\nVedjSCdOSWLqVypRGnZo5hpH/xgpJBVX8d9ROn3MQcGajiH73j6fXbaQaKpbKrF3nUSQfT4SEno6\n3K1YwsKIjxw8Q1Wu24S44y2sJ7Taoc4Hngzw4NKvfpOOVZtYWzQG/4aeBb+5gYj0XibTQEi4ldl0\n8mG1nW6/OHiTPZd7Q9ewtawavW00Vpc3fr6Q54yiqnx/TxsvHuvUjIt4WMxbZBvz6cppJK4+E2eT\nrymmq8VE9fEIUtLew1h1CkN5R887ci+42RtrnkXZllLyXz2Cs0tPQ0kYWTNq6SH6qDJy0z6kuLkI\nOm9s6lFUfn6wnUd3t3KL+wjh+F63SIxl2ZxJPDstnBhz/7GeFD4KEFBa88++IYHK6Cgq2lNIam8I\nmC90dyLWVuGZOj+gAcb01otkOo6QV5uCfJY9rcoqNQerGXXLGERJW9SLMkl8LcuCrKrsqXNpjtV0\nK7x1ups2l8IJv2LQjelmlg5yLyyJAhOjDdwx3IpDVjnc6NYwv1W8/hevFXWTbJUYGTFAcUunA0mH\nrsBnoC5WFOOZs6RnrxA3No6CN/KQXd41LjtlVEUl7ar0Pu/PYrEgyzK1tT5psKamJmJjYwNM0AeC\n0WiksrLyouSiEATUMBv6fVt876+6DHnyVahhgf/n+oIkCLxT4scg6Zb59uiQL1xsHExMBzEQgusj\niKHiUuxngu2Vlwj/3HOE02jZAd/J6sLcq5Pg6Bv5lG7QdptMfWgGCRMHDqxdZW8FelpIFkzjn0IK\nz7nwGz+L/zvSTkGztgP92WkRjI0KTJw7ZZWvb2qmpEMb2D8+MYwvZQ4tiSq3FOAue0szJkVNRZe8\nLGCuftUbGmMu8LISXLfcM6TXTL3uazR3fwWDqPKllJ3o9Vr2hoiO3Rmz2ThsGDe4S+n6w0d0HdrQ\nZ2e9gkxItI6lNy7mrq/ez7icyYhD6IIXmuoxvvi/CIqfdJElBMdDT4Lp85GQLj7LxHH4fd0ikCU2\nBsw94U5hae3jPNe6HKfql1DzdOEuf4vuXXfgPPVHFHtdwLkXi8bCBvb8StvVl7FgGCNXjO5z/nWp\nZnYuj2VeYmBH1v4GN/EWkRlxgev/VJuHJasbeWR3K+0uhYSYZK6/ZgX33PEA1y9bTFx6BKreFXDe\nOYhIuDtECg4U8s//bGRl3VWUqr08cGQHzoIncbatpfux53Etu0NjWgje4oX5J/+FVKDVCr7S4L72\nFhwPPIHaq0in37Ue0/OPQVdHP2cODf8psWuKVMlWibl9fPf+GBdlYOMNsUyI1naiNToUbljTyNun\nu/s58/JBEASu+cUikqdru1NPfXiSPb/e2c9ZQXzeEWuWuDlDmwj5y/HOfmYHEUQQ/7+gramdbbZh\nmrHFZp9J7yfdE3v+fXfOhRctAAorj2B3+hotzEYr4zJn9ju/aFUhdXm1mrGZ383CU/FvzZgufiG6\nqEkojgY8tRs0xwxpXxnQM23JlK9SrTqxGqs041YliS3bXsXt7sfNuRdUVxvOwj9hPaLt4ndPmYuS\nqv18xaKjGN59mT2Vw/AvWsSMjiG1nwQwwKipw/lLXCcmxRcjykjc2/Atlpp38/7Od9jXemFbd1lR\nuX97C3872aUZN0sqN4mvkSV4zZE9Zhc1txYQlatNWDWWhbH6uUk0RbbTOUXXkzx3X7VEMy//X77m\nsZrCSEqOzdccV52NOAt+jio7qe7yNrn9tqCTkWo9KbRp5t6zeAa3D7cOyjtMn/41dCk3+V7bHs+O\n9AlsypyM2sd83cHt6Ne9qxkTGmqQ8vYQYbZzbba2yanhWD27f6Utpp2DQRL46aRwPloSTbJVuxds\ncaq8V+rQjM1LGLrxfYRR5P+mRbBzeSxX9xGbNjkV7t7awtc2NtPg7P/zcs+7AcVPJktwu9B/5FNq\nMEdamPztaZpz8l45rGGq98bEiROx2bSFge3bt+Ny9b/X6QuZmVpJtZKSkiGdDyBPmoPs9/9RUFUM\nK/856POvSjASovN9frX2QAZ+EEEEEUQQlx7BwsUlwosntWFTNg18+yqt30LL6eYAX4uEiYlMPY+v\nhavs37hLXtEOSuazRYtRF3zP57C7zslvC7QJkJvSzdwxPDBxrqoq39nZwu5eXSe3DjPzyNiQgPkD\nQXV34Dz+HOBL2gsGG8aRDwd0Pkj5ezH852+aMTl1GI77fnxBcjlpN95FQ9tN6ESVFcm7sZi0JukC\nIkeTpvLeiDFM01ez4GA9hoZdGF1eeqqCTGisgRVfupmv3nQXSXHnN1QPgMuJ6fc/7aG8AqiCgOP+\nxz9Tg+KhoN4us2JdE81OLbPmt7MiOHDHOB5PO0Ooqg3YZSReaLuBJdU/Jc+Zpr2g4sRT9SH2Pd/E\nefx5FD8N44uB7JZZ//Cang4iAFOEiWt+sWjALpoEi8R7i6J4cnIY+l7LqLRD5kC9i1uHmYk1Ba6x\nv53sYvr7dayu8HXuJMSmcOPCW7j3zgdYcv1ColNCUXQDFDFUPV1NKrtLsni9bDGb6ofT4fElyd2l\nr+E88QucN96K4/vPo/Tq+BM7WjH96jEM774MciBl/kqBPGUu9h/+BjVU272lO3EY81MPIjTW9nPm\n4PFakXYz//Vsy6A2ywkWiVVLolmWrmUKuRS4d1sLTx9qR1H72jZfPkgGiaV/XYZtmHa97Pv9ngBG\nUhBXDu4fpX3Gbqp2Utga3HAHEcT/z/jkw/3YJV+iM0FqJtfgja0OOjOpkb3PgSSLxPQ+mjGGgsPF\n2sTuuMyZ6HV9X1N2yex6Tjt/2OIsIo2vaiQyBYMNQ/a9ALgr3wPVF8sIpgSk2IHNd22hMczJXUqp\nUo4o+ElrIiIpqbzy/lODem+ukn9iLGlD3+J7nquCgHv5ndqJne2Y/vQknXY9BbXaWH3S/dPO27l9\n9bKpPK8UI6i+uLpTNXN7/Xf4VujHbC87yM7moe1rVFXl0T2tvH3arhm3GQU+XhLLd6/SGqd3S+00\nf6OI+EkJmvHmylBWPTuJxkQL7XP0eEaORY1L7jneVtFK2WZtsjlu7m3okpdrxpT2QioOPc+cD+rY\nXedCUFWuVYo0c9LS0shOGny3vSAIXjZ+wiIAau1es/O8xBGsHjE7oLkHwPDmnxBPH+/5W7/5ox52\ne27cGXLS2jXzD/5lP1W7K/q9h9nxRnYsi2XxeaSFztcUMxByIvT8Z1EUb1wTSUZoYMPcJ5UOvnzI\nxAe1EmpfsafBiOvG2zRD+i0fa+LoCd+c6PX7OAvZJbPr+b6LNgCSJDF37lzN2u7q6mLv3r1DeWtk\nZGiZWXV1dXR2DrEBQxRx3XSXZki3fytieVE/J2hh0gksSNZ+f6vK7f3MDiKIIIII4lIhWLi4BHhr\nfz6nVG3w9UCONpiQXTJrvrMKj8MXkOutehb99roBdcdd5e/gLvmHdlAyYRr36RQtOtwK929rQfG7\n3USLyK9nRvQZfP8qv5O3egXGM+MMvDDLNiSapaqqOE++gOrUUnwNIx9FMGgls4S6M5j+9KRGSkm1\nhuF46KmLYiWk33Qf9U1LEUVYnnSIKOtJ7esiUB4zjlfHTiHN3MI3jtbBmZNEuwv40i03c+uyO4i2\nDYHi2gvG136PVKp9TdfyO5HHnd+g/VKg063w5fVNlHdqmTWPjQ/l9rNSA49ePZVtN4YzRaoKOL/Q\nk8T1NY/zVP2XtOwLAFXGU7sB+977cOT/HLm9MOD8oWD/i3upP6plccx/egHW2PN3F4qCwIO5oaxf\nGkNWL4M2twpvnbaTY9Px5cxA2nd1t8LXNjZz1+Zm6u3azyk5IZ2bFt/KfXc9wNyFswiLNaII/ScZ\nBdlKbUcuH5Yv5e2KGeS1xaMoIDfswn7we7gzE7E/+TKe0ZO056kqho9ew/zsIwgtgSyYKwVK1mi6\nf/IiSq+inVRdhvnn30YsO9XPmefHsWa3pqNKwFu4GCwsOpF/zIvk0XGhAcd+mdfBN7e00O3p2yjy\ncsEUbmLZKzdjjtKu240/XEflzv435kF8fjE+2sC0XobcL53o6md2EEEE8f8D9tZrY/JF5iM96jir\nun3xwvIM86CK9f2ho7uVojP5mrEJWbP7nX/0jTzayn2NOYIkMPU2O0qHNsFoGP4Agj4U1dWK58xq\nzTF92i0Ig5CLvCr3eiRTKJJRG0sa1TBaO5zszN/cz5leyB1FeM6sDmBbeKbOQ0n2S7aqKqa/PYvY\nVMe+qsweqSGA8NRwsq8bft57BfjGPQv5QUueZqxajuKOhof4WcQbbCw7OqRk6s8PtvOPQi0DNMEi\nsnpJDJNiDORmTGP+eG1xocFxBuc3a0manqwZb60OYdWzk2iKsNA2zYnq8V234PU8f+sRYsfEETc+\nHkPWPUiR2ma96I7t3Gb6EIDRah1JaIsEkydr5w8GgiBgyPkO7og5NDt9e8VTMWk0LskKYO4KqoL5\n2UegvQXcLvTbVvldC67+wWRC4v0aAlRY+/AnONq0DVn+iDCKvHFNJD+bFIbYx38nvQCVvfZNQ4Ug\nCFyXambPTXH8z4RQelvSdMoCTxUbuWldE2UdgU1LnquuQ4n2ed4IsgfDhz6paZ1Jz4xHZmnOKVx5\ngvqC/tnwMTEx5ObmasZOnjypMdw+H0JDQ4mJ0apTlJaW9jO7f8gTZiGnaf+vGVa+Mujzl6b2KlxU\n9P99BxFEEEEEcWkQLFxcArxwTBs0ZNLInTMmaMb2/nZXQEAw94mrB/S1cNesx31ayzLoKVpE9C1/\nM1T8eG9bQGL6xdk2bH0Yz75X0s1Th7SB57AwideujsQoDW0z5KlZj9xL31afugJdlDYpi9OO6Xc/\nQej2dWSogojj2z9FjdF2Cl0IMm55kLqGhQBcG3+M5LAjqL1Ix01hw3lp0hxCDE7urSzFmtfJ5jcf\nprv+dF+XHBR0Wz5Gv/VjzZhn/AzcvbpkLhc8iso3tzRzpEmbaP96toUfjdcmbzOio1l/+zR+mh7I\nvlAEkT/ZlzD3xFPsacju87Xkxl04DnwH++EfIrfk9d1BNADqCmrZ//s9mrHs60cw/PqhSaiNjzaw\n5cYYbusjob2txsWmaic/nRhGZh8dUO+X2Zn6Xh2vF3X1ef/D00fxlWW381/fvI+J08dgigCFvhkS\nAhIedyLHGmfxRtl1rKrJpbapAfv+h/DIFTgefQ7nzd9E7SWd4JOO2tfnda8EqHHJdP/kReQsrWeP\n2NaM+ZmHkPL29HPmwPhXL7bFvEQjqUP0pxAFgccnhvGXq2wBm8iVZXau/6SR2u6L26x+2ghPjeCG\nl25CMvrWrOJR+Pj+D2guarqMdxbEheK+kdpi7JvF3bQ6P19FsyCCCOLS4ZBRK/lzztsCYLVf4WJF\nxtD853ojv2Q3ih9LIM6WTEJkWp9znR1O9v5ut2Zs9JeGYfW8qRmTYmaji/UWP9xVH4Dix5gwRKJL\n0DIF+oNBb2TJlK9y2tNGiKFecyxMSWPngffosvfd2a2qKq5Tf8JYKaNv1bItXL3YFvr176E7tBOH\nW8ehai3TeuK9UwZsROuNx767hK/Xaz37jrrSeLDpHn4T9RJ/372VlaXnL168UNDBb3qx5hMtIp9c\nF8NIm4/BO3/ccsakT9XMK2rMx/KgEiBv1VZr5eP/m0RLQx2Owz/wFpUcHo79W8vYHHv7eARBQBAl\njGN+hGDRSlR+P2Il15v3s0jRNp5kZmYSGRlo4D0YCIJEQ+gK/CW6bIYWlJhK2pYPR+0l0Sw47Vh+\ncg+63RsROnxySKrFin7BIhb9+jr/S9FZ3cHmxzcMuBcRBYHvjQ1l5bXRmHptCdwqLF7dwKunLr6p\nwCgJfH98GNuWxTIlJtA8e0u1k5kr63npRKf2fnV6XMtu18zVbf8Eoc5XZMi5eRTRI7VFhO3PbB3w\nfU+aNCnA12Lbtm1DkozqLRd1IYULBAHXzb1YF4d2IpYOrgluYbIJP7UoTrV5KGoLsleDCCKIIC4n\ngoWLzxjvHT7KCTVOM3ZftjYh2XiygQN/1iYTs5ZkM+qW/g215eYjuE7+VjsomTCNffKijbjPYVW5\nnX8VaTt07htpZX5SIAV2X72Tb+1o0YzZjAJvL4gmsnfUdh4o9jpcRX/WjImhWegz79ROVFWMf/sl\nUpWWluy65R7kMUPv1OkLnd0d7DNFs//gSACuijlNTuQ+FLQJyG5zKn+ctgCHQeRmRwmjt8n8+d8/\n4/TGF4f8muLpExj/9YJmTIlLwnHvhclefdpQVZVHdreyrsqpGb8mychv+2HiADw8fyo7brT1yb6o\ntMZwS+djfGvrvdRVh/V5vtJyBMfhH+A49AiepgODKmB4nB7WP/wJil+3uyXGwvwnrznvuX0hRC/y\n+9k2XpkXSbhB+z4bHQo/P9TOvEQjD44OoXetrtWl8sCOVpav7bsDCkASJSblzuC2W+7h9tvuJGt0\nCsL/Y++8w6Oq8jf+uXfutPSekAQIoQy9995RUAG7CPaua19dXduube1l195wFbEBFqRJl95Ch0CA\nEEJCes/0e39/DDI5M0lIQhD87bzPkwfm3HPunJm5c+db39fk9EuW/Q5ZM1NW3YGlxycwO6M3K5a9\nT+XRH3BcMgPbo6/VSh1lfvVPTh0VGoH10ddw9RXpISS7DdMbj6Ms/7FRp7O7Nb7x0aKoLTnVUFzV\nNoifLoghxoc+bFuhkzE/F7CzqHGcv2cbLfokMuGNicKYo9zOjzfMoaogUK3/Z8PFKWZaBHmvvSqX\nxqyM809rJYAAAjj7KM4rZXeo2KXY3+TpaNhpb80xlycwmRKq89Nqagw0TWObD01Ur3bD6rQHt32w\nGWuRN+iuD9LTc8IGqKHtgBKCocNdnvO7qnBm/yScQ9/qMiS54dRW3VMHkRzbjmzpMJLktX9kFMxq\naz797qla17lOLEMt3UPQbp9uiwGj0RK9iRn5yH4MX78HwNac1jjc3vfTHBNE5ysaV1Am63S8ce84\nRheJnddLrT15rvRK3o9+hw82rHAY1j8AACAASURBVK9XS2tmehVPbxELyqKMMvMmxJASKhZnSJLE\n1KG3kBQt0vWsz1hMy7/F0jZFtF0qCoL45V99KMnIxrr1QQ78sBFbifczNYYZ6XCJt0CoSjPz14r7\nKXGLyfW3Yj6hs+GYMNa7d2/OBMePi/ShLYI8hYH2oAxKr+7t13khlxZi/O8bwphz6IVgNNFySCt6\n3yr6lAd+2k/6vH2n3cfwFsZaqWSdKty7tpRHNpTiUs+cSrRjhJ5FE2N5oX84QYr4nat2eQTZr1pa\nJHR+u4aMFzqYJVXF8KNXK1PWyQx9TLSzs9dlcXRl3YkERVEYMWKEMFZZWcnmzQ3X2msWuijA3WMg\n7radhDHDvM/qmC0iwigz1EeHZEGg6yKAAAII4Jzi3EdB/5/j9R3iD11rirhlUM9TjzVVY/njv6LV\nEIUNjg9hdD3c+2rVUWy7nxU4YJH1mLr/A11kt1rXNBb5Vjf3rSsVxjqEKzzTN9xvbk6Vm+nLi7HX\n2I5ehi9GR9M2vHFVy5qmYt/3GrhrGOKyEWPnR5Fk0anSL/4O/cblwpiz30icE69u1HPWBlVVWb1p\nKbO++oKKfAcHIzqzaauHeqtPZDa9Y9ehIlZfuPVxfNj/Qk4EB9HPkMuNayr4cds2Fn54E46KhlH0\nSOUlmP7zFJLLe27NYPKIcQf709CcC7y+s5LPD4iOUo9oPTNHRaGvrS+6BlrHRPHrdQN4JuU4YZpY\nKabKMj+lDGDC8af5YNZYCjNrf71q2V7sO57AtuVeXAXr0bS6q4k3vLGOogNi5fiYF8djjjozYfMp\nbcysmRzH4Fr4oD9Nr2ZZjo1PR0TSI9o/ELAq186gefn8e3dFvQ6L2WRm1OALuGXGXUy8aDyRiUF1\nUklJSGjuGI6U9mHW0jy++vpl0s36WqmjAA911L8eRCouqOVsfwIYjNjufgbHBVcKw5KmYvr8DQzf\nfgBqw6rMF2bZKLF7P4cIg6cF/0wwMN7Isoti6RQh3v+OV7u5cEHheceX236ShSF/GyaMlWeXM//W\nH3DZAlVmfyboZYmbO4paFx/tq8TdDMGRAAII4M+F1b/uwF2DSilVOUGszhPIrtltcWkbc6PoXH2R\nW3yU/FJvUYosyfRIHVTr3Kq8SrZ9vEUY6zEtBpMkdhcY2t+ObPQUXziP/wKuGol0JRQlUUy4nw6S\nJDFp4HTKVRdmo1jhb9LCsTpNfLPoXWFcc1XhPPQJ+jwNQ4F4D3VOmuZ9YKvG9O4/kdwuXG6Zzdli\n8LXnDb1RTI1PDBnMBj6e0Ydu5WJgf2bFGL6sGslnsW/z7oZtfhpd4OmCf8DHjwvVS8wZH40lova9\nGBQj00bfS6hZ7Pafv+Vzenf/DUtMrjBeWWT2JC8Ol7Ljo1+FY52v6Ire7HmevGo3kxYWMis7glsK\n7sZZg0LLJDsZ3mI9Jp3HX27Xrp2f0HNjoGka2dligdTviQsAh7Sd0uuGo+l8EjdOMTHjHH3Jqf8P\nengosZ1F6t8VTy2tV7Aa4GiFi6yqum3RD/dVcdmSIkqaoStSJ0vc1SWEdVPi6Bvu3927JNvTfbH4\n2Mm4hE7BMfl6YY6y7lekHK+2YKvhKbQcKnZNrXlxNaq77v3Gx8f7UUbt3buXnJycBr2O0NBQ4uLE\n97rJXRdTbxKGlB0bBE2T+uBHF3U0kLgIIIAAAjiXCCQuziJ+3rmP3ZpIV3RbWwc6nddg2/PtbnK3\nij/mo54bizmy9sCZai/GtuNJ0YAHjJ3+ii6yR7PsW9M07l1bSqHNa5goEnwwPBKzTyWH3a1x/Yoi\n8q2iEfPW4AiGJjRefMyV/RNqqciRa2h3M3Kw2F6s27sNw9diV4Y7uQ32Wx6BM3C+ALJyDvPZV++T\nvuMIsuY17jMiOrFhq6ebpXNYPkNbrEZFNGQkOYxZPS8kPSqalqYyHkw7RvEhHe/Puo+stZ/X/8Sq\nG+N7zyL7BJPttzyCmpxax6I/FnMOV/OsDx1YqxAd346NJtRXvboe3D+qP2smRzFA8e++KIiL4NnB\nV3H32lv56fW+5Oyr3YFRKw5i3/UPrJvuwpW3Gk0TDfWcLcfZ9oFY5dPpii6kjmvX4H3Wh5YhCj9f\nEMMTvcP8uiv2lri4/bcSprUz88++YZh9JljdGk9uLmfs/IZV4Ce3SOHySddyy02303NAZ/ShKhq1\nOw4yeqoro1jx63o+/OErFg4eQ/Xk6/2pow7sJOipPzF1lCzjuOYu7NPv9Xtthl9mY3z/OXDY61js\nhS9N1JVtgzApZ3YPAWgdqrB4UizjksT7YJVLY/ryYt7eVdFo2rOziT539KfL1aKzeSItl8UPLEQL\nBL3/VLi+Q5BAV5ZZ4WZJdsDpDiCA/zVszhHttQEmb8C+pr7F1DZnVszhK8rdPqk7IWb/QieADW+u\nw2X1di+Yo810GSwGvXVRvVESPDRQmtuOM2uucFzfcgqS0vgCg+SYVHq1Hcp+VxGhPpRREWprDuXu\nZV+m1wdxZn6F5igh2LfbosdA1FZtTz02fPshcr7Hl9uZl0yV0xv01Afr6X5dT5qKqPgIPh/dgkRb\nsTD+z5IrWWPrxJdxr/Ofjbv5bL/Xlvk128Ztq0uEXl2TDmaPjaZXTP1dKmHBUUwbcx+Kzuv/uDU3\n/+0WzYjeO+gcJ2oWVJea+Pn5vuRniAnzbjM8rzm91MnYXwrYcZJadoPdwmPF04W5wYqV4Qnr0ckq\nvXqJVMqNRXFxMVZrjW4eRSE2UgxCO1xrqLhuQq2C3QCuTj3RWnipvhSjwoS3JqIzepMdjgoHix9Y\nUG8Qf1WuaINaIhS/johVuXZG/5zP/tLmKRJJCVV4t6udv7ezE6r37wy/amkRf11fitWl4Ro0BrVG\n15CkqRh+8PqqkiR5ui5qnKYovZB93++pdw99+/YlLEzsnl+9ejVOZ8Neo2/XxeHDh+uYWT/cXfvi\nbi+yUDS06+JCH4H1zQWO847uNYAAAgjgfwmBxMVZxKtpYmtjS0q4Y4jXILMWV7P2xVXCnDZj29J2\nfO2BVc1tw77zaTSbaGzr296MEj+81jVNwRcHq1l0TAxyPNoztFZj9/FNZWwuEA2RB7qFMK396UWP\nfaFWZeE49KkwJkf2Rkm6SBiTivIwvfsPpBqV9lpQiKcr4QzEuK02K3MWfMWiX35FtfpXI6mSEwaP\nJr9kMgApQaWMT1qBKlWIe5ZMzO88lvVJyYToHdyam0HvjQof71vKrx/fgqOqxO/cAIYfPkfZu00Y\nc1xwJa4Bo5v8mpoTG/Ps3OVDBxZhkPh+XDTxQY2jAwNoFR3F4hkD+EebHL/uC02WWTO0C08On8aH\ns8bz8/N9ObYzutbzaFWZ2Pe8gHXjHThzl6KpbpzVDpY8JAZcQ1qEMuKp5n0vdbLEwz1CWTQxltYh\n4ntgc8OjG8tZn+fglwujGd7CP5G3vcjJqJ8L+MeWMqyu0weHdbKOft2HcMPVt3PFVZeTmBqNptST\n+HAYydh3nPeKrSwcdgGuUDGQIFWU/empo5zjLsV277NoBvH91W9cjvmVh6GyvI6VcKzSxfLjomM5\no0Pj7111IcwgM3tstJ/ugAY8taWcv6wtxeE+P5ICkiQx6rmxtBomVtdlLDjA2pdWn6NdBdAUxJp1\nXJYq/hZ+EBDpDiCA/zmkKWLwsL/RQxO1z5HEYZdHnLdDuELXyMZ1R9eEy+1kx+F1wlhdotzFGUXs\n+WaXMNZ3hhm9VIPaR9Jh6HDXqQ4Q14ml4KzROaAzo0++hKZiXJ8r0OtNZEmH0Ele+0lCJtzVlp9X\nfIDT6UStysJ57AeUYhXjcTE47ajRbaHbl4Zh2Q8AqBpsyGorzO02rQemcH+K3cYgtVtrPmvnJtTl\ntZU1ZO4pvJVMVzyz41/j7c3pvLenkvV5dq5bXkxNk1KRYOaoqAYXlCXHpHLp0FuFsSqDjs96xDKh\n63a6DBaTFPYq0T9sOTCMyDaRrD1hZ8IvBX5i1HsMY7DHi59hjKmYMW0O+GkkNBZ+3RaJiQT3eh7J\nIPoQVnUZVVPH1XoOqbQYrGJneXSHGIY9LvraOZuPs+Xduot/VvjYl1ekBrFoYgzJwaK/cKTCzbj5\nBd5uiDOEJMGUBDe/TY5jQJy/7/7R/ipG/ZzPzhI39qmiFoR+43LkY95EQVzXeDpO7SzMWf/aWpzW\nupMQiqIwfLj4XlVUVDSYMspX5yI/P5+Kioo6ZtcDScJxqU/Xxa7NyAd21bHAi+QQRaDP08AvNhJA\nAAEEEMAfB90zzzxzrvdwRrDb7c+c6z3UhkV70nknWzSSHkgpYXBq8qnHK59cRu42b7eFYlaY/Nml\nGMP8DVxNc2Pf/bxfN4KSOBFD2xvPqMW7Jo6Uu7h2WTHOGjZ6v1g9/xkaiezzHF8erOL5baIhMSbJ\nyL+H+M89HTTVhX3nU2j2Gt0GSjCmns8j62sYyC4n5tcfRT7hNUw1ScL2l3+ithUNq5ooLvZUKkVH\n1x783rJrPYsWLcBWriIh7l1DJSzOyOVTrqZj265Edu5Hzg4rQfp9hOidpIZmcaAyGjRvoEhC5lhk\nK4oNLiwlhbTTykg5oGdRgoGde34iyWUnLNlb3azbsRHTzNeE53VbemC//fzQtThS7mLy4iIqnF5P\nSC/Dd+NiTlu9dToMTEnislaQdugI2arosFQHm0jr1YaSylCc3ygcT4vGFOogIrEWTl9nOe7CdbhO\nrCBj8VHSF1ahad7PcuJ7lxDdIabOfZzuGqkPScE6rm0fxPEqN3tKxARARrmLxcdsPNcvjGEtjKw9\nYRdo1TRgQ76DHzKr6RKlb7AotNkYRIfUTvTp1Z/gCAOFpUex29xI+CeRJHQUaWZ2RSUTay0hwioG\nMXUHdqLbt92jDWNuvsD9HwWtRSvcXfuhS1uLZPc6FnJRPkraGlzdB9ZKtfb+3kp+O+ENXPSM1vNo\nz9o1VqBp14gsSYxLNhFrlll23C5UQO4sdrIuz86FLU2YGyHaebYg62RSx7bjyLJDAv947pYcguOD\nie+WcA53d/7jTO4hzY3kYB0za1D6ZVa4mdLGTEwjNacCOLswmUz/ONd7COD8QHP7M9YKK49lyLhk\nr03xdOQ3ROiq+bxiFBvsHv2BWzoFM6xF0wPr+46lsb1Gx4XZGMzkwTciy/73mmV/W0LxQW/nQHjr\nMIZevQgJ7++wknwJ+gSPDpmmadj3vQpOLyWPvuVklNjaaagaAqPehE7Wsff4LmINlbhdXh1CHQYc\nONmdsZxu0hY0aw4hm52CKLe7XRecU2/0RIdt1ZhfexSp2lOotq+gBWm5NXQv9DIX/uciDCGN70D3\nRXLbBNrs28V8V/ipLlMXCoure3J58HquClnLgwe78PkhqCFlgISnY35ySuMKu+Ijk9E0jcw8r6Bx\npUFHXqiRSU/9jepSN/m782pdO2DqJtaZorl2nYkqn5qYcUlGvhsfTV5ZKFV5aYTqvfZoEAWgM6GL\naJweSE1s27ZNCHJ36dKF+MQ26KL64MpbKeioOI1HMVS3QFcsFrjIlWXo9m/H1W8E1NDDiO+RwInt\nJyjL9CbScjZl03pkCiEJoo2pahoPrS/DWqM45ak+YfSKMXB5qplN+Q6OV3k/KIcKcw5bMSsSA+IM\nZ+TX/26LtG0RyzXtglBkWJfnEOzPQpvKrIPVBLduw4Bjm5DLvYVpUlmxUDQX1y2eXV9uP0Vr7axy\noJj1JPVPpi6EhoZit9spKPD69QUFBSQlJRESElLnOgCDwUB2djZVVd5rw2w2k5DQeBtUi0lAt387\ncqH3WpWK8nANnXDatQVWt+AjqJrGFW3PrDvtfMH5ZK8GcP4hcH0E0Fj8Ef7MuY+U/D/Fy1tF3stE\nSrl3uFds7PimbPZ+t1uYM+C+QYQl+1eaaJqG4+AHuAs3CuO6qL4YOtzdbEkLVdO4e00JVTXKdIIU\niQ+GR6H4aBekFTp4aL3Indo6RMfHI6LQnUbnoDY4j36DWnFQGDN2uAvZFCuMGb75AN0hURDNMfVG\n3D0GNvo5wSO+PWvOJ6Rt2I2s1hKANzgYNW44V0++npAgr1GaMuVWiqquRFMhRHFyRavVGH3E5SRk\nDiT04ctufVEBi6mIh9fnEnosmI/2LWLZJ7fhrC7xdJB88LywVg2PxHbXU6BrehVcc6HErnLl0iKK\nfDhY/z0kkiFNoAOrDa2io1g0YyDPpeYQXkv3xdohnXj/zgtIc7Vh6X96MOfJgRzaGE9t8haaLZc2\nliVc+dJaOo85hk7vptv0HrQentIse60LYQaZD0dE8cHwSL/27BNWlalLijlQ6mLN5DimpPhTHBwq\nd3PRwkLuX1tCaSP5bju27ca1l9/BddOuICX+GJpce1eP1RDE3E5jWNu6hx/R1CnqqJ0ba117vkNN\n7Yj1qXdRW4i0cnLuMczP3o3sc99QNY1ZB31EuTucPYfk5o4hfD8umjAfUfe1JxyMmV/AgWaiCThT\nGMOMXPLZpQTFiu/FiieWcnR15rnZVACNRs8YAwN9Ki3f29N4gcsAAgjgz4n1y3Zg1XlttARdCa0U\nj96ar77FmSAt4zfhcfc2gwSaod+RvzuPQ4szhLH+M2zI1LgvKcEYUrzdDGpJGlpVlve4JKMkTzmj\n/QIM6jyehMiWHHSVEW4UqY/C1GSKqivYkpmJrkLFlFlLt8VJv8vw3UfIBR7dB02D9Vlix3zHKZ39\nAtpngqnTR/BYkagPUqSGcW3+A5gkB9/Gv0qIJvqfrw4Kb3KwdVTPKXRzi0HmPdEmlh5cwugXxtHj\n+lponSSNbcY23LwjBYePoXldhyBmj40mSAfb0nawJm8A5Q7x/M5Dn+Iq3NCk/bpcLk6cEIW5k5M9\nwXU5JAVTj3+CLPotJf3yUWuR/NBl7MH88sNQ5U2CSJLEuFcuwBzl/c6oLpXF9y3AUSV2P+8sclJc\nw5YPM0j0Oql7F2fW8dMFMUxvL34uGvD0lnLuacZuXEWWeKRnGIsmxpISKiYTHSo8trmcK3s/SpnO\n+5qUrb8hZ3pp5cKSwuh5oyiYvvW9TVQX1t/J2a9fP0JDxet/1apVuFyn7/Bu1078Lh08eLBp9KqS\n5NdVouzdhrx/ex0LvJjUWrw3rsyxU+E8cz2SAAIIIIAAGo9A4uIsYPn+DNJcicLYDS0rT2lbuB1u\nVvxd5HONah9Nr5v71no+V/YPuLJ/EsbkkFSMXR9HqqWiqamYmV7NujzR8HqhfzipYWLwvNDmZoaP\nGLdZJ/HlmGgijY2/pNzlB3FmfiWM6WKHoosXaX10W37DsOR7YczVYyDOi0Wu1IZiy651zJr9X6qL\n/Y0QVXKS0qkFN8+4k/YpnWpd33ryTRTbpqO6JRRZY2rSJqKC0/3mFYRbeL/faKoVhQijjTuzMhi9\nRsdKbHz4+d3kfvwgUpW32keTZOx3PoUWce6z3A63xozlRRwsE43MR3qGcnW75g/y3jOiH2unRjNI\nOeZ3rDA6jE9uHsfi8T3JPxHOive78f3fB3FgbQtUt3+yLCTazuDp6Vz92noG3ViM5v5jWnyvahvE\nb5Pj6Bvr7wm9vbuS6cuLeaJ3KLNGR9EiyP/7MvNANQPn5fFzEwSczcGxjL3oaa4fHsmghGWYjFmo\n+DgIksSmll35vttYKg2iUS5VlGF+7VEM3330p6SO0mJbUP3EO7gtot6PXF6C+V/3o9vmrQpdnWsn\nqwZ9gUkHl50hz/fpMCrJxNJJsbQJ9acJGPtLAStzzo829LDkcC7+ZCqKyXvv19waC+78icL0P6mg\n+/8gbu8sdk99faiafGuAozmAAP4XsD5DvFf3Nx5EkiDDmUC6MwmALpFKnULNDUGltYyD2WIneF00\nUVveEyl14rpF0artYmHMkHINksFbwOU89qNwXBc7xK+gqSnQyQqTh9wESGRoRzHIXntLQiLK3Z7V\nJaGwW0OqESt1J6bg7unp9pD3b8ewdN6pY5klMZyorFF8JkGf2/ud8V59MXlqN27OEd/LTFc81+ff\nR7yulK/iXydC9iSDHu8Vys0d669urw9ydRXTNmaQVCFSHq3ZvYDth9cy/OlRGMN8Cpg0ieP/jiY+\nW0ygPNk7jLcGR6DIEgcOHKCiogKnamDVicE43DWvQQ37npdQKzMbvd/c3Fzcbu9vXGhoqKC1oAvv\njLHbkyDVsMH0EkUTDWi11NzpjuzH/NJDUOl9LcFxwYx95QJhXumREn57dqUw5qtvMTzBKBT2GXUS\n/x4SwYv9w/Gt95t1sJrLlhQ2uoipPvSLM/Db5Dim1eK7/VQWTN+BL7MtJOXUmGGuSN3c764BmCK8\nnVmOSgeb3q4/waTX6/0oo8rLy9myZUsdK7xITU0VCjNLS0spKio67braoHbsiauzmHgxzvnEk22s\nB50iFMFed6iwNKAXFkAAAQRwThBIXJwFvLipSBD8StDKeGCUt7op7ZMtFB0Qf3xHPz8WncE/CeEu\n2YHj4EfCmGSMwdjjn0hK8wXZsitdPL1FNDLHJBm53qcC2aVq3LSyhOwqMfjx1pAIukU13vnR3Hbs\ne1+BmsLK+giMlnsEg0XKO47pk38Ja9XoeGy3NZ5KqbK6gi/nfELahj1+XRYaGuYomauuvIZxQy9C\nPs25W100nTL5dlwOGVmGCxJ2kxK+1U842W5swQf9LyA3OBidrDHJdYRbllgpcxl4N07H3O6R2E8K\ntjkuuxl3pzMTp2sOaJrGfetKWXNCTGZdkWrmsZ7NV0Hmi+TISBbOGMjzbXMJ18SKeE2SWDe4E+/9\n5QKyWsZQdiKY1R934bvHBrF/ZRJul7/nYQ61oWZ9RvW663Bkfo3mOvtc7ymhCgsnxvJwj1B8d7Sj\nyMnwnwootqusnxLHTRZ/aqYTVpUZy4uZsbyo0WJwkqzD2P5WLH1v4dJW27m09S+0CN3lp8VyPDye\nL3tO5GiEf+u1Yf4szP96AKk43+/YeY+QMKx/fQXnwDHCsOSwY3r7SfS/ekQ+P90vXgeXtDYT0YTE\na2PRIULPsotiGRwv3nvKHRqXLSny29e5QkKPFkx4a5IgyuiodPDTjXOpygtU7v8ZcHFrM61qaO/Y\n3fDh3vPj+goggADOLtI0sTDhd2HuhdW9+f3GfukZJut3Hl6PWqP1NS4iicToFL95JYeLOfiLWNjT\ne0oOEl77RjLFoyR5dQ/U6hzcRWKAXt8M3Ra/IzkmlUGdxmHVVFzG/eLzYMasJbFEFqkjnZOu9vgc\ndiumj18Wjq3LE+lq245vR1T7s1OAdNtlnZmSL/L0pzlSuaPwDjroc/gy7k2CJSvlDrVpVeonoWxY\nhslu55ZdBYTaxWKWH9d9xpbla7CX2/3WmexOrvtiBcnHCpFQeb31Kh7s6qE/crvdpKWlnZpb4Qwl\ny3gFSDXsL7cV285n0BxlfueuD776FsnJyX6sBEp0X4ydHhbG1AiZsiG1d7jrjh7A/K8HodzLMpA6\nti1drxULZHbP3smhxV7mgJU54vsyMtG/Q12SJO7s4unGDffpxv3thIPxvxSQWdF8RUShepl3h0Xy\n2chIwnw6w4/ooxjW+2k+SByDBig7NiBneEW4jeEm+t8rUrTtmrWDkiO1d3j/jsTERDp1EgsAd+3a\nRV5e7TRjv8NsNp/qlvkdGRkZdcw+PXy1LnQHdqHbVbc+CXg+n0mtxPvovCONLyoLIIAAAgjgzBHQ\nuGhmrM04zGtHIoTExR3J+Yxq7+E8Lc8uY8HdP6O6vIZ+pyu60OumPn7nUu1F2Lc/Du4aP5K6IMy9\nXkQOSmq2PWuaxi2rSthX6jWOQhSJ78ZHE2EUkynPbCnn28Pij/YdnYO5r1vTAtmOQ5+iFokVG8Yu\nj6ILa19jkh3za48iF3rbfzWdgu2hl9AS6ubXrInfufqO5KSzePFi3NX+AUpVdtB/cB8mjLgYk7Hh\nrfNhqR0pzYtHqtyETq/SMqgUWVdCbnULUW9AMrEzoQ0htkLiq6uIU6rpdcRONlFsT1ZIiw8iJjaK\n0BlPnGpDP5d4dUcF7/oEuQbFG/jv6Gg/6rCzgf6tE7kyRceOQ4c45qN9YTUZ2d4rFXukgVaH8nFX\nKGTtiOXg2kRkWSOqZSWyzsdZU+2oJdtxHl8AbjtySCpSDRqF5uZz1EkSw1sYGdrCyKocu6AP4lRh\n4TEbRypc/GtABOOTTWzMdwht5QAHylx8cbCKaJNM9yh9o2jhdKGp6KL6IBdvJMWUTdfwQ+j1RRQ5\n9bjVYCQkXDqFfbFtUGWZ5LJ8IckiF+Ujr1mE1rItWnzDvmfnDXQ63H2GgduFroYInwQoOzdy3Kpy\nX3GKwPf70sCI0+qLNNc1YlZkrkgNIrfazc5iL0WUBizOtlFiVxmVaGy0VlBzI6pdNIZgA1k1KKIc\nFQ6y1x/DMqVTrcn2/2Wcb5ywsiQhSbC0hkDo3hInt3QKxqA7978xAQQ0LgLwojn9GbfTxWP73Nh0\n3gT5YxFziNWV80bZJWS5PF0Lbw2OaFKnNHh8h5/Wz6TK5u0YHtp1Iq3jO/jNXfviagp2ewshotuH\n0P/iJYKpa7Tciy7UK2ztODILtdybUJBD26NPva7Z6HEBWsW3Z8ehdeTZy2lt1LC5Irz70UI5Emon\nxFFJcqUDNSoO+00Pg6zD8PX7KDWCnrkVYaw4KL7uca9eQGiL5i/yKS4uRpIlpo3qzsY1O8kye39v\njrgSKHCHMyNkFX1Nh3gyswf5dpmxScYmvW/Gma8jlxVhcmukltnZkhiOetJy0jSVw0V70e8MRbbr\nyI8NI7ja+1ujuFW67slicrdNXJ0wH3fZHpTYIRzIOCIEoGVZZti4KzAGReEurlGJ76rEXZ6OEj8K\nSWqYrbFhwwZsNm9FfK9evYiIiPCbJ4e0QXJIuCu83ULuKBnZpUdf4J8okMtL0O3cgLvvcDB5/MOW\ng1pycOEBbCXe58tak0WnqZ1RTXoe3lAqCKS/2D+CKFPt37U2YQqTWpn49biNUod3UZFd5fvDVgbF\nG0kKbri9dTpbpFOknikpL3rnyAAAIABJREFUZtbnOcizev0Ot6RjQXQvMswJjC/ZiTE/W9CCiO0S\nR/oP+04lqzRVoyqvkg4Xdax3PwkJCRw6dAiHw1sIl5eXh8ViqbdAUJIkjhw5cupxZWUlXbt2bdK1\nrEXHIR/Zj5znTW7JOVm4Rl5Ur88dZpD5bw29sKOVLm7vHILxT25DnW/2agDnFwLXRwCNRUDj4k+I\nFzbkodaoGonTyvnrSC8F1KpnluOyeo0iU4SJoY+N8DuPprqx7/kXmkOsZDB2+RtySGqz7vnbw1Z+\nPS5WhjzdN8wviPfDEStv7xYrbQfHG3i2n78uR0PgLt2N69g8YUxpMd5PdM84+110Rw8IY46r76hX\njNsXTpeDNVuX1dllERyjMOPaG+jVuX8jX4UHCUPG4kr4O7ZKT9dJ1/A8RrZYiSqJgX9ZMrLUMprF\nqZ7ETJTRyp1ZGUxYJVGsKHwUAT9/dCPWoqNN2kdzYe7hap5PEyv0U0N1fDk66g811pIiI/hl+iBe\nbJdLRG3dFz0tvP/ghRxr7xFXrCo2sf4rC9/8dQg7F7bGaa/lFueqxJk5y9OBkfEpmqPUf04zYmiC\nkbVT4pic4i9++WOmjaE/5qMBaybH8XD3UBSft7fMoXHv2lIuWVTI4fLGVV7pwiyY+r2NHNYRWYZO\nYflc0Wo9k1ouIDp4H6pkq0EdNcaPOkqpqsD82qOUvPsMqvP80GBoMGQZxxW3YrvhITQfx+iL/ZXU\npA/uFKEwJP7MROYbC8NJmoB/9g3z68r5YF8V1ywtotyXIPocoNctfeg+o6cwlr87jwV3/oTbGaAd\nOt8xo30QkcYadAsOjS8OVNezIoAA/v/DYrHMtFgsWj1/9zfgHIMtFstCi8VSYrFYbBaLZafFYvmL\nxWI55xGtrav2UKL3UgSFy1V01B/HoenYbPckB3rF6GkT1nQdtdziLPJKagQBJZkeqYP95lXkVrBv\n7h5hrMfEI0KsUA7riC7OSymjuapw5S4R1ijJk5s1aQFg1Ju5aNB1AOx3ZWNWRB8n2t2eue3jyQo1\n4LzwSlD0yPt3YPh1jjBvg3uk8DhpYDIteouUwc0Nc6iZW8d19qO7mVU5gjfLLmawKZ0PY99j5r4y\nHlhXitrIzgv56EHB92pV4WRqr6uEOS6DnfJpR9nZK5l377iAlcNFUW2jw4X9PT256RGopbuo3vpX\n0tK2CnM6duxISEgISvIlKIkXCsfU0l04DrzboK6RyspKSku99rwkSSQm1v0ZBO91ELxDtKkreqk4\n42rX7tMdz8T84v1IJR6dGH2QgQvenoSseO1LW4mVX/+6iA0nbNhqmEfJwTpSw+pPPHSI0LP0olj6\nx4q2aKFN5eJFBfzQzJX+bcIUlkyK5eaO/l3fs+OHMKDPc6Rn5qHb400mKUaFwY8ME+ZmLDxI7tac\nep/LYDAwbJi4rrS0lG3bttW7rnXr1uj1XjaH6upqcnNz611THxyX3Sw81h09gG7L6nrX9InR07JG\n56rNDYuyAnRRAQQQQAB/NAKJi2bEkcJCNjnETohpiaUYDZ4f3UNLMjj86yHh+JC/DSco2r9V23nk\nv6ilYhuwPuUalJimBdbrQoHVzd82ioHbQfEGP0PmSLmLv6wVkygtgmRmjopC34Tqe81tw77vdahR\n8yyZ4jC0v12Yp6xfhn65yHHr6jsc57jLGvxcGVn7Wb1uBa4Kf6NRlR30H9KLaVNvJMjkb7w1BrF9\nBiG1fY7qMk+AOjmonMmtliHpCoV5Ejr2Jvbni+79cAM6WeMCNZO7llQSVqxjkxHemfM4+xa8XMuz\nnH1sK3Bw1xrxs440Snw7Lppo07mpsL5zWF/WTo1lqD7L71iROZRPpo3il2t7YztZAW4tN7Lp2/Z8\n/fBQ0n5OwWGtxTl3W3FmfUv1uuuxH/wA2d24lvTGIMIoM3NkFG8PiSDIJzORXeXm4kWFvLqzgkd7\nhbLykjh6x/jTrv12wsHgH/J4c2cFLrXhDqhsjMbU+2WUFuO9+zHYmZCwl2kpv9C5VR66IBfZ4XF8\n2XMimREt/M7RcuNKyh+6ht8WfoXV9udqk3aNuhjb/S+iGT3fS6ek4+PEUcKcmzoGN3tApCGQJIl7\nu4Xy5egov+vi1+N2JjQzTUBTIEkSI54ZTcqoNsL40VWZrPj70jOioQjg7CNYL/txnL+7t7JR95AA\nAvh/jLuAK2r5m1/fIovFMhpYAbQHngFuBQ4AbwNvnL3tNgxrd4uUOX2NGciSRpo9FZvmCcw2tyh3\nu6RuhAb5V7enfbQFtYagbViSgZRuoi6God2twm+wK/dXcHsTrJIhEiVe5MpvLnRs2YsuKf1woFGh\n7KemX6LDQKTWkU+7xrKjVSuw2zB98pKwviykNft3i+fsfVvza1v44mCZk3t3uWqtFn+1bAqzK4Yy\nxryLd2I+5MsDFdy9phR3I+77yuoFwmN3175073EBI7pfLI4n2LBOzkTTSawY3Z3lI7sJx112hcWv\n9yJnfySHclUqK72fqyzL9OjhoVySJAlDh7uQI3zW5yz003msDb40UXFxcRgMdRSkuFwoK+cTvN2F\nOb2GjaWTKB2modbRhSTnZnmSFydpVOO7JTDwwSHCnKOrMln/iRiQH5XYsI6XGJNHtNv3u2lzww0r\ni3lzZ0Wz2lwmReK1QRF8PCKSYB8bND0okcF9/sn8X9YIybEOF1mI7yFSzP72wqrT7is5OZmOHcXO\njJ07d5KfXzclraIopKSkCGMHDx6sfXIDoLZuj7PfSGHMOPdTUOsuwpEkiakp4ucxN0AXFUAAAQTw\nhyOQuGhG/GvVfpw12lnDtWoeHe2hgHI73Pz27Aphfos+iXS5SjTQAFyFG3Ee/UYYkyN7om/TNBHq\n+vDIhjJK7F5jw6iDt4dECBQldrfGjSuLBaobvQz/HRVNnLlpgWzH4f+iWcUKDWOnh5AUb/JAys3C\nOPNVYY4am4jt5kcaRKWkqioLVsxj+eJV6FSxgkZDI+Rkl0XPzs3nYER16YGh+8tUFnteR6ji5IpW\nqwgyHfGbWxjWgff6j6HyZDVJO3Mxf92STbddBsoMCl/l7+Hrd6+lLPP0ImbNheNVbqYtKxIqhfQy\nfDE6mnbhTRdwbA4kRUYwf/ogXmp/gshaui82tbfw7iMXsb+3N/BurzSwdW47vn5oCFvmpmKvrsWJ\nUe24js0jPucZwou/QbXWz7vaVEiSxHUdgll1SSw9osX3UtU81FwTFxQQopf4dVIsz/cP9wtm29zw\nzNZyRv9cwPZCUXuk3ueWDRg6PoCh/R0Cj7AsQ0/9Gq5pv5uJFwxAnxzOnC7DWNO6B6pPH0ByWSEj\nv/+c1W+9yLc/f0FuQbbv05y3cPcYgPXxt1HDo5gf3YscY9SpY8GqnatDz27XzekwqbWZhRNjSAoS\n76f7Sl2MnV/Axjx/Duk/ErIic+E7FxPXNV4Y3/PNLja9vf4c7SqAhuK2TsHUZH08Vunmh8yA4x1A\nAMDC9PT072v5Ox2Z+ruADRiWnp7+Vnp6+hfp6emXAz8C91oslh71Lz+72GYXizX6Gz3BvnU2b+DQ\nNxjXGLjcLnYeFu/9tYlyW0us7J4tJim6X3BIoPLUxQ5FF+Gt1Nc0FadPoFpJnIgkn72uyEn9p2OU\nJXLcNsLN4kdv0iLQ9G34acNnqF+/j5wv+i4bgy8W6H8jUiNpM6p5O+N9UeaEq5cWUVaDVsi38+LR\n4utYWt2dScFbeTV6Jl9nVHLb6hKcDUleOOzo1y8VhpzDJwEwuteldEwWhY7bSvsYxK8ArBnVlYib\nBwjHXQ4di9/oybatIp2WxWIhJMSbWJdkPaauTyCZxMC4I+MD3MX1V+fXpm9RF3Tb1iCXFiEBoRtd\nGGvURKkhMuWD6/Zt5bxszC/cj3SSvrjPHf1IGiA+l/G/G4nL89qVtelb1AWTIvHxiEge7u5PM/bM\n1nIe3lDWqARUQ3B5ahArLo6lc4R436jSmbgm9gr+MX/PqeeUZImhj4lJxNwtxzm0+PT6EwMGDCA4\n2Ovna5rGqlWrBEF1X7Rv3154nJmZicvV9IIex6U3otX0g3KOoqxbWs8K/yTvsuM2ys6DjugAAggg\ngP8lBBIXzQS7w8mSsjhhbFxYHuaT1R67v9pBWZa3olvSSYx6fhyST7eCaj3hEauuAckQhanLow3m\n+Gwo5h+1Ms8nePFYzzDa+wSon95SxvYikSbm+X7h9ItrmhPhLtvrTxGVdBG6yBp+nt2G6T/PINWo\n7tb0emz3PANBYvVobSgqLWTm7A84nlGI5HOZ/95lcU0zdFnUhvC2HQgZ9BZl+Z7KM0WGKUnbSAzb\n4Sfa7TQk8EG/iRw6ycEaondwU+FBLlvqRmeHPUEK/176Fpu+egi38+y2plY5VaYtK+KEVdzjm4Mj\nGJrQcKP7bOP2oX1Yf1kcw2rpvihTgph9yUjmPjwULDGnxh1WPdt/TuXrhwaz6dt22Kv9aZskXARX\nrcG64Sbs+95Ara6/9bmpaB+u59dJsdzb1f863lzgZNiP+cw5YuXuLiGsmxLHqFocnp3FTsbML+Cp\nzWVUuxpmPEuShL7lFEw9ngNFfG618hCRmS9w+YjezLjuek6MGc23PUb4UUeZXXYu27uarhvWM3/e\nfD6b/T7b925GVc9/A15N6YD16fd4N1WsFrz2xBoSXrwL+eDuOlb+MegRbWDZxbF+3TYemoBCvj10\nbul9DMEGLvnsUsKSRbHSDa+vY8+3u+pYFcD5gDizjmvaip2db++qDHTLBBBAE2CxWAYAFuDb9PR0\nX96S/+CRU2r+SqMGQnW72RomUuQMOJm4WG+3ADAwzkDyaTSd6sOB7O1U2720SmZDMJbknn7zdszc\nhrPa6z8ERcm0G1CjYlpSMLQVRXPdRZvFwiZJQUma1OS9NgRBjmxGRXh8NHPWQRJksQo8XG2FS9Uz\nq2SvMF45bAo7F4qXQK+b+/j5ds0JtwZPpBs5VC4Ge6ebSjG5vQUtbnTcXngHm21tuTJkHc9GzmbO\nkWpuWlmMw13/vV/ZugapyksXq4WE4e7loQGTJZmeVaNwFYuB9b7SKrpI2/h0ZBTXPzWMwY+K1EBu\nh46yr1TchzzXg4xKt1T/5JlkCMfU/RnQ1Timqdh2v4BaXXvBjKqq5OSINnt9iQv9sh+8z6dBkDQO\nObLXqTF7Kx1VnetJXhTkYH7xPqT8HGSdzPjXL8QQ6vWJdS6Vy+auR+fyfEbDWzTOh5IliSf6hPGf\noRF+9LGf7K/iuhXFWF3N+/vdIULP0otjmdbOnwXijcJILltSSPHJqrbkQa1oM0ZMzq19afVp6UOb\nQhnVokULgoK8e3I6nRw92nQ6ZS2xNa4h44Uxw7zPwFU3HW6PaD1tQr3Xg0OFBQG6qAACCCCAPxSB\nxEUz4d9r0iiRvEFwRXPz6DCPg+CodLDRpyq16zXdie0UK4xpqgP77ufBVYNjVZIxdn0cyRDZrPst\ntas8tF6sMu4Rrecen2Dq/KNW3vcRaL64tYlbOzUt4K+57bVTRPk4Lsav3kGXfVgYs0+7BzXFX/TP\nF5t3ruX777/FXe3vlOlDVa656tpm7bKoDcFJyUSNf5ei497q/5GxGfSIWYeKWCkvyyH80HUCK1t7\nqViG6rJ5cHkxicf02BWZnx2FfPrRTZzYJiZ8mguqpnHnbyXs8ElQ3ds1hGvbN39y50yREB7OT9cO\n5J6cDURplX7Hd4S05KWrR3D4zu4YwrwOg9OmsHNhCl89MIj1X3XAYavltWluXLmLsW64Bduel1Gr\n/BMkZwqDTuKf/cKZNz6aeLN4G65waty2uoTbVhcTZZSZOz6a94ZFCjz14HFe395dyZAf8lmV0/CK\nfF1Ub8x930YKbi0ecJZhS3sUfdFKLhgxmYn3P8WOmx/kaHSC3zn6Z+/lyl3LMBXZ2bx2Ox9//h7L\n1i3E6Wp4F8i5wAElihVB7YSx248vRaosx/zSA+g2rzpHO/MgIUjH/AtjmOJTCetQ4bbVJTy3tbzR\nPNXNieC4YKb893JMEWLib9nflnB0lX9XWQDnD+7pGiL0UO0sdrIq99x28gQQwPkCi8VislgsDY3k\n/87ZWlu72caT/w6o5dgfggPbDpNj8nYVGnHS3ZiJXVPYelLfYuoZ00StFR53Sx2IXhGLmRxVDrZ/\nliaMdR13GEXvLXRQki9GDhKTLK5skR5WFzccuUaXZHND0zQcGR/TI9hKssHOmKwKJqX9hlH2BiYl\nJGLcFjLCVRa1aQmAGtuCHdKgU0LF4NEt7HRZF7/naE58kqVnQ6kYVL+mXRD/vqYLr3EISfO+vzbN\nyPUF97HfkcSNYcv5W8Rcfj5qY8aKYmz1BL6V1b8Ij52Dx4Pe+/n++Es2X4XcRpUm+oxjpHl0N2YC\n0O+uAQx93EfD0QX2b6txZzhJDctEOfAPXIUb8YUckoKxy6NQ81fLVYlt59Nozgq/+QUFBdjt3s/B\naDQSExPjNw9AOp6Jsn+7uK0xUzF1ewo51OtjVvZWcMbUnYCSC/M8yYsT2YQlhzPq2bHC8YS8UsYu\n20G3KD2xTWQnmN4+mDnjYwgziPv4JcvG5EXeREJzIUiReWdoBK93dqNXxa6GlbkORvxcwI4ij50/\n5G/DhQRd6eESv+6q2tCyZUs6dBB9+R07dlBYWFjrfFmWadu2rTB2JnRRAI4p16PpvLd7ufAEyqoF\ndc6XJMmv62LekYBWWAABBBDAHwnpz15xV1ZWdl68gL6fbScDbyJioHKMRTMGArDhjbVsfNPr3+iD\n9Fy/6haC48SgqT39HVzHfxbGDO1uQd/q8mbf7z1rSvjyoPdHV5FgxSVxdIvyVvtmVboY9mO+0Irc\nKkTH6kviiKiD//N0cGR8gjPrO2HM1PMFdFHetmPdppWY33lGmOMcOAb7HU/USxHlcrmYt+hrSnKr\nkXxoblTcxCaGc+mka5q076bCZbNx7JtHiGvpFbjLsYWwPGcIsuZfcR9bls41u7bwu4nrdMssMrVm\n+SA36CRkVWOoamD4lS9gDIvzW99UPL+tnFd2iM7AhJYmvhodhe4sVo6dCfbP28vi+xfgCJFYeVtX\n1od2RpX8r8v2aj53Hsyh8tv9aD5VZjrFTccx+fS57DgGfV10QRK6uKEYUq5BDmn+9v9Cm5u715Sy\n+Jh/9U7rEB0fjYikf5zxpB5NGXPq4Fad3j6I5/qFN/i7qbmqse99FXfhOr9jStJFGNrfjiTrQVWx\nfv0O0YvnIiO+f1bFyKIOg8iM8mj7qJKT+JZRjBw0gYiw5k22Ngce21jKezUSsYPKDvBb2j9OPdYk\nCcfVd+KccEWt95rfnSXf1vXmhqppvJhW4fedBJicYuK9YZEEKeeu7iBn83HmXvstbrvXadYH67n8\nm6uJ6xZfz8r/3/ijro+mYvqyIubXqBIcnWhk7oTagzsB/DEIDw8/P39g/5/DYrHMBK4HXgUuB1IA\nFdgM/DM9Pb3OKJbFYnkNeBCYkJ6evqSW4yVAVXp6et0l37WgLn+msUG6BT/s4ukYb95koDGdOQkv\ns85m4Yq8R5DR+KW/lZgmMi85XDa+3fQGqua9/0/sfiMxoaLG3+HvM9j/vleUWx8M17yyAoPZs06V\nzOS1eBpNV6Poy3mCuBPPC+cpiHsYp9Gn0KIZYareTlTRJwDYj2i0Wu0JgGekJvJz4khqBs+tUgmF\n8j7u2FkC46/nl+dOUH3ca1O0ndYBy02dztpe15fI3LfHiFZjT91D3bzXzY7hpEkwZ+5O/hU3UFiX\noCvhh4QXaakU8WLJpfynfBIDIty80smOb0zdUFJAl3ceF8b23fYMtjjP55uWXs29x8KwmQzEk8Wl\nfIwieYPcBsXEhd1uJDwoGoAjcw6x7z2fjlYdDL9zHx36HEdDpjTqWqzB/hqOIeVLCSsTE1k2U0eK\nY+6AGiwER44cEarwY2Nj6dKl9gRS8qKviN3ipW6uaNWBjOv+CoDsriQ6/030Lg9lrFypEv2zA7me\nmhxHaAQZ0x/CHp1A2vNbyF1xXDie/cAwbpt0Zom3Q1US9+4xku8Q7b7WZpW3uthJMjV/KCRv4SJu\nM4wUqFUBjLLG4+0cTIxzs+v17Rxb4H3fDREGRv53LEpQ/dTCTqeTzZs343B439jg4GD69OmDLPvb\nthUVFWzdKoq6Dx48uG4NkwbA9zpwhoSz5+7n0fS1d8ccqJS4drs3eaGTNBb3t3KOWZQDCCCAAP5Q\n1OXj/hH+TKDjohmwaE+6kLQAuKu7h06jKr+KbR+KGgW9bu3rl7Rw5a30S1roYgahtGy4CHVDsSrH\nJiQtAO7vHiokLZyqxs0ri4WkhSLBpyOjmpy0cJen48yaI4wpiRcKSQup8ASmz0SqLDU+CfsND9Wb\ntPBQQ31Iaa7VL2mh6R1079GZbh36NmnfZwLFZKL19DfI39Hq1FiiqZJLWy1F0fsyDEBBuIV3B4yj\n9KQxptepXOw8wl1LKgkvUlBlidWKk3dmP9Bs4t3fHar2C5B2jlD4eETkeZu0qDxRwcqnlgFgqNQY\n//ou7t+zmkT8kw8H5Tge7dCV3U/1JWmE6Py6XTr2LG7BF3f2Zv33PbE5/YUlQcOd/xvWTXdh2/kP\n3OUHapnTdMSYdHw9JopXBobjq31+tNLNhQsKeSGtnAijzCcjo/h6bJSfFgLAlwer6T8vjx8zrQ2i\ngJGUIIzdnkCfcq3fMdfx+di2P47mKAVZxjztL9geexN3uOjAmF12pu5dydDMNGRVRdb0FGRV8M03\n3zBr7qccPX6ocW/GWUS1S+WrDPG+d2uCmCySNA3j7HcxfPl2vWJ9ZxuyJPH33mF8ODxS0CYA+DHT\nxqSFheRWn7v9JfZLYsKbk4RiSGeVkx9vnEv5sbMnch/AmeHebmKyfHmOnV3FddMjBBDA/wAmAC8A\nk4C/4xHbnm+xWK6uZ83vHDl1ldxW1Zjzh2O3Uwzm/a5vsd7m6QLvHa42OWkBcKz4gJC0CDVFEh0i\ndk24HW6OfCf+/ncZc+xU0gKgMmyskLQACK4Qux4dhjZnNWmB5iaszOt7JaR7A6ntDufQTksXppu1\nSEK1JD7tHse2bFlIWkiKROvJbThbOGGXeDJdTFpE6TX+1dFxKmkBcNml3bkjV+xiOOGO5Jq8Byl0\nh/JY5FxuDF3GxlId9+w2UuEjFxC1QyxmqUpscyppkW2VeDjHk7QAyKMVvyIW1zlcNpbv+xqb0/P1\naD21DUEX+Xwd3LDmPQtH02KQUIks/oLgiuV+r7kydAzVQWKHvMm2n7DSH4SxoqIi4XF0dLTfuQBk\nh42onWKjVGGfkaf+r+pCKI69C7fO4wuoITLlQ+qPTBsqSmn/xasYC3Ppel8PKiJEqqWWMzfjKDuz\nbuS2wRqf9rDTLkikZT1qlblph4n9lc3vqyUP7s+GtGcYUrpfGLerEk8fMPLGYT2p13VEV8NxcZQ6\nOPzt6bUu9Hq9X9dFVVVVnRRQISEhAl0UUK+od0NwYshE1BpdYvrKMmK3rKxzfvtgjdZm7/vv1iRW\nFjUvhXcAAQQQQAB1I9Bx0Qy46Mv1rHF6A9NtKCTtRo9ew4onlrLzC29LqjnazPWrbsEY6s3oq7YC\nrBtvB7fXB5JMCZj7/QdJf3o9h8bA5tIY8mOewI1qCVdYPTkOo85r+Dy9uYy3dosUPM/2C+MvXZvm\ni2mqA+vme9Bq0O5IxljMA973CnK7XZhfuB9dhrcyR9MpWJ98B7WNpc5z79q/lXVrNiJronGpoRGR\nYGbqhVeRecRjDJ2LSlhl7RJMH77AvhZxRI4tP6WNrKqwNL8zBVUd/TtEtGom7VtNx2KvMV7t1DMv\nuhVb+ni9jE7VLi4YewdRHUTO0IZiS4GDSQsLqFE4TYxJZtlFsbQObTr/8dmEpmn8eP0cjq7KPDWm\nMypMWzADc6tQ7vtpE3PLW+GqRRMmmRIeMZTBJ+mUHCr2Oy7JKn2ucdJ9wiFkd90aF7qovuhTrhEE\nJZsDe0uc3LKymL2l/sJzvWP0fDA8kvbhesodKs9uLefj/VXUdgOc2MrEqwMjSAxumFHtyl+Dfd+r\n4PYJ5BvjMHZ/Gl2op01bKi/B+MELKLs3+53jeFgsCyxDqDTWEN5DQwl206tnH3p07FtrJdUfhS8O\nVPGXtd7EVrRRZu9VCQSvXYhx5mtIPuKArl5DsN35BBi9FVbnoqJ+U76da5cVU2ATHdbEIJnZY6Pp\nEX32BEtPh+2fbWPVM2KwISI1kivnXIM5yp8n+f87zveOC4ALFxSwPs8bRLky1cyHI84eDUsA9SPQ\ncXFuYLFYugGJwMr09HR7jfHOwHagAGiZnp7uJ+BksVg+BG7FI8y9ppbj2UBoenp6eGP21Fz+TL9/\nb+VgiJficVbc64w07+GyE4+wwW7hpQHh3N656b7FF0tf50D2jlOPh3e/mHG9xeD17tk7WfY3bzOK\nYpK4+uWVmEJPJkqVUIIGf46keH8nNGcF1Wung1qD8qfLYyjxPnRDzQhn9nwcB/7j2VKRSvR8McD8\nWt8WRIR1p9zh7UzT0MjX7Ua2QtCrLZFUz1e40+VdGP/ahWdlnw63xsSFBWwp8CaaZQl+mBBTq36C\n6nZz36uL+CJO1B3pbsjku/hXCJFtPFR0A19XDqNblJ6546M9dEaqm6CHrkYuLji1xnbDQ7hGXcyJ\najfj5+eTVSV+Je4MtnNBxz0s3fa9MN46rgM3THiEI4czWblyJc6tdpwLfWxMncqYO3eR0sfzfPrW\nV6FPvQGpRqGa5nZgS3sEtVwMoBss96FPupDKykpmz54tHJsxYwYmk7+WnbLiJ0wzX/e+T+GRVL/+\nLSii/6hWZWHd9jA4ywEI2ewkeG/9xSJqeBQH7n6FSV+Vc8PMZUJlaLsL2zPxvUuE19UUlDlUpi8r\n4rcT4nUaokj8d3QUo5M8r7m5bBHD7Hdh8Rz+2vZa3kme4Hd8bJKR2/ccZO+bXuo4xaxw/apbCIk/\n/T1mxYoVZGR4Ex38+BMtAAAgAElEQVSSJDF16tRaE0/bt29n82av7xEXF8fkyZMb+5IEGL75AMMC\n77WjBYdR9dpsMNdOkfxCWjkvb/cW+o1KNDLvT9q1+mewVwM4dwhcHwE0FoGOiz8BjhYWs9EhVhpd\nkeyhcik54s/32P8vg4SkhaZp2Pe9ISQtkPUYu/292ZMWAG/uqhCSFhLw76ERQtLi12ybX9JiQrKR\nu7s0fT/OI18JSQsAQ8f7vEkLwDBvppC0AHBceXudSQtVVZm/bA7rf9vil7RQJSe9B3blyotn+PHu\n/pGQco5i/NxjJHfKzafy52BcTs/XTpZhfMJeutameyEF8UvncSxo533tQXon15Yf4rpFNkwVnnPs\nC1L4928fsnLmnTirSxq1t+xKF9cuKxKSFgYZvhwddd4mLQD2fL1LSFoADH5kKFHtojEbDHx4+VDm\nDXPRlgK/tdlEcr+9FQtu6UCfJ4f5cfVrqsyWWUY+vaET+7dORKuj0s9dvAXbtoewbnsUd/H2ZhO5\n7RypZ9nFcdxWi4bMtkInw38s4ON9lYTqJV4ZFMHCiTFYwv0/qwVZNgbOy+Oz/VUN0kRQ4oZi7vM6\nkkmk+dHs+di2Pogrb7XncVgktodewn75LWg+tFxJ5QVMT1tISrG3TV5Cwl2lsGXtDj7+/D2Wn0Md\njE/2i1o9MzoEYdRJuIZPxPbgS2gmMdCupK3F/OIDSGX+Ca4/Ev3jjCy9KJbOEeLnnFOtcuGCQuYf\nrZ067I9Azxt70/tWsZOt9HAJP944F2f1+a138r+Kv/joWM05YuVYpX+iNIAA/j8jPT19V3p6+uKa\nSYuT43uBlXiSGnVx/pSf/LcuAbCQGnP+UBw7mCMkLWRU+hgPYdMU0uweqstRiY0TCq4Jq72KQzmi\nnd4tRaT4Ud0qW97fJIxZRuR4kxaAvtWlQtICwJW7WEhaSMYYdLFDmrzX00FzWXFmzjr1OGiPeB/M\niDSTHWrgqHQQg4/eRbS7A/agamw3eXn5e93c56zt9cnNZULSAuDvvcLqFH2WdTrefHACFxWIn9VO\nRwo3FdyDXVP4P/bOO0COun7/rylbbm+v11wvyd3l0nslIYQklIQmHWli/yqICraviqLiTwEVERUV\nBWlSFBAIaUAa6T2Xy9Vc7/1u+87M749NbnZuL5DcXYJ83eefZD47s/fZ2dmZ9+f9ft7P88v4p7kh\ncitHunxctraDRoeCdHSvoWihma34519Ej0flmnUdIUWLCw5V8eBVWSyZspoZ4xcbXqttK+df257i\nwIGAz4lplgXzZUafAE0R2fTEFKr3BKRvfbX/wFv2GFpQR48gmbFM+QGCxZgg9pY/jtJ1gLo649oy\nJSVl2KIFmoZpk1F2yr90dUjRAkCMzMI67UGQAu8znN+FNqQIIfZ2kfGbb2BL8rJ9sfHWUbm2gmMv\nD5HLGgFizCKvrEzkU0P8Fgb8Gtdv6OSFyrH1XfCuuQWT1cpvKp/hr6W/N5i/A2xs9PCdzFwGxuuq\nE36Xnw9+ufWM3n/BggVEROifRdM0Nm/ejKqG1IsZP97oT9fW1kZv7+g6fL2X34gWVKQQHH2Y3nn5\ntPsP9bnY0uyhY4x9RsIII4wwwhge4cLFKPHzLcfwCXpCKVpz8bWlMwDY8fA2VL/+8I3JimHKLdMM\nx/ub3kbt3m8YM+d/Filq7CucVb1+Hj1slAT6TFEkc5P1wLfJofDFLcYEeJpN5IkL4hBHyBRR+irw\n1b1kGJPHrURO0BNe0rH9mN58zrCPf9p8fKuG9/cYcPbzzEt/orm6C2HoZWz2ctVVVzF7ysIRzXfM\n4PVg/d2PEDz6giff0Yfbfzsehx4oT4tpYUX6u6iicZ0rIlGWOps/zroAp6xfYzMsrXzrg2YmHQ28\nh18S2YSTJ575CpUbHjujqTl8Kjdt6qLVZQwOf7MojvkpI1/Unmv01fey5cH3DGNpczOY8RnjgvGC\nCXnsvm0KX0yqJUIzBtqqIPKOJ5c7xFh4ZC7TPzMTcahfgCqw7XEvT3+miBOV1yNEDv97VHsO4T74\nbdz7v4G/c++YFDAiZIFfzI/lpYsTSB5i3O1SNL65s5frNnTS4lSYn2Jhy5XJ3D89CtOQj9Dn07h3\nRw+r13ZQ0fvRcjCiPY+I2Y8hxk41vqB68JT8DG/V39A0FUQR35pP4/r2r1BjjQvJodJRwRD8ZqpK\nGnjqb3/m9XX/oLf/7Apto8H+di8Hg4znBeCOQn2xokyejet7v0WNM34e6cRxIn78ZcSGj9d4OjtK\n5p3Lk1iZYfxtOv0at77bxa8P949Z8exssfi7SylYYywutx5s4a0v/RvFF17Q/afhkkwrBUHFTkWD\n3x8b+JAjwgjjvw6tJ/+NPs3r1Sf/DfGwKCwsjAFigNG5x44QWzYfM2xPMtcRJbrZ5xmPBxPpNokJ\nw5AdzhSldftQgmQUE6PHkRKXadin8u1yemv07kZRhikrguRjZDumjCsMx2iqgq/hDcOYnL4aQTx3\nJBpf/ato3kAcIjo0rDXGmMVx0RoA+lUFn6UUgvpbZSwkKoU4MlrxXNlLxsIskorHzncuGP+sdvLH\nUiPxYnGcwr1TP5xMJplk/vSlJSzpMsqbbndP5Csdn0MDHk54musjt1HR6+eSt9up22pMOPvnLsVp\niuCGjZ0hncDTDp7gO9kSsllGEASuWHAnualFhn0qqyoMyWXTLAuLfrzEIDOpqSLv/WEyVbsCxBl/\n01o8R3+GFpQkFy3xWKY+AGJQDKQpuI/+hPY6o9F2VlYWw0GsOIJUr8uXaYKI78I1w+4LIEUXYp3y\nAxBkkAR6lppQg3hwgqahWYyJbLujh00Hf0rrnDiaxhl93jY/8C49tafz0jtzWCSBPy2NCyEh+DX4\n0tZuHjnUz5iFg/YYvJfeAMCtrdvYfOBHpHuMZJ7KfoXff/oiqvL0gmnpyyW0HAqVQx4Kq9XK4sXG\ngldnZycHDx4M2ddut5OammoYC+7WGBHsMXhXXWcYMr/zEgwMXxApijUZSESKBv+uCfUnDCOMMMII\nY+wRLlyMAh6vj3U9xkB1eVQLNrOFlkPNVLxp1EZdcN8FSGZdukV1NeOt/JNhHzF2GnLG6QOpkULT\nNL6+owdvUFyeZBX5/kx9XaZqGl/a2k2nR99JFODPS+NJGCq+f6Z/V/XhKX0ENP09BXMC5vGf13fq\n68Hyx58iBEVaamwC7s9+e1hfixMNlTz34jP4+kMv36gkE3fc8jlSEtNCXjvfsDz7W6SGasOY55a7\nSbn8BoSCn9PfqQedKVYH12VtQjaFyhM5I7L4w9zLqIrV/RdizW4+217JTet9mB2Bc9RhlXm6cR8v\nPnELXeWnZ7uomsYXtnSHaJt/bYqdm8b/58q7aKrGhm++g88RxNqzmVjx8CUIw3hxSJLEz1cvZMMq\nC9PE0PPaIdj5Vn06P82NZOGLa0iaF2oq7HcrbPppF89+uYjmzrsQo4eXhlJ7j+E59L+4996Nv33H\nmCSRV2Za2XFVMquzQpljGxs9LHgt4GdhkQS+OyOazVckMzsplDn2QauXxa+38cihfnzqh89LMMdg\nnf4z5CFJBQBf7Yt4Dv0A7WTrvFo0DeeDf8Y/ZU7IvnMajnHt0fXYPY6Q10TNRFtdHy+++A+e/+dT\n1DVVh+wz1vjzkG6LFRkWcoZ0FalZ+bh+8ARKZr5xvh0tRPzkK0iHjZrR5xvRZpEXlifwpWIjyVcD\nHtjXxxe2duP2n//ihSAKrHjkUjIWGpMFte+fYNO31n1sBZUwhocoCHxlSMLjmTInPZ5QhmMYYfxf\nRGFhYXRhYeEthYWFl5xul5P/1p/m9VMmAMO1A5zS7QyRkDof2NtpTKKd8rf4wB1IKF+YbhmVXM3R\nGmMnxeTcuUZZH01j7++N+4xf2IY9Qe+kMGVeZei2BlA6d6O5gzTrRTOmtHMjuwSgebvx1enSRrZS\nP0LQo0odl0mhYmNiZ6CjsdbvIDrCGKtYtVji1Fz6Z9TTu6zhnMyzvMfH3duNye40i8oDBZ4zIpNF\nREXwt0/PYGZvjWH8bedsvt11GwIajyT8jesjt1E/oHCxdAklNt1k3XPB5XxhSze72owEoMKyBq56\nazdTb9bJeLIkc+Oyr5IQfTK5rEGMYixqTZgwgdm3z2XFw5eEFC/e/+NkKncEjlXat+M+/AM0v95B\nIEWNx1J8n/ED+h0UCa9iEfXr63SFi6HdFsqMhWgJH15skuJnYim+HxCG9bsQPC7UBOPaIdnXx/qj\nD3H4khxEqx5n+hw+1t3zloHQOFKIgsCDc2J4aG4MQ6+CB/f38f+qTChjFHr5Vl2LGh0owswaqGHn\nvu8zB6OnyAAiz356KTvnFQyW97Y88N4ZxX85OTnk5xvj7gMHDtDVFdrtPFS2prKyctQxpu+S69Ds\nei5EcDsx//u50+5/9ZCui3+eGNsulzDCCCOMMIZHuHAxCvxu+wG6BD34ljWF7yyZgKZpbH9oi2Hf\n5MkpFKzWWamapuIpfdSoKS9FYJl4L4Iw9l/LK9UuNjcbOuL52dwYg9H2EyUDIft8d0Y0C1NHzsD3\n1b6E5qgxjJmL7tZlsDQN659/jtijB0GaIOD5wvcgOtQoedfBraxfuwFRMco/qSgUTsvlxqvu+Fil\noU5B3rER0+Y3DWO+eRfhv3A1AHGFk4hZ9gSdjTp7xCKpXJuxg3FRh9EwMpUFMYrXJq9iXZ4xaJtr\nauLbW1uYeEz/zCUn5aPefeoLePpCzct+ur+PN+uMi9vLsqz8YNbpyIX/GTj09AEadhrzCIu/t5TY\n7OEMtXVMTk9j8+1z+G5WA9FaqKzObiWDNUdkdl6XxsyfziOhIFRb1dXh4q1v1vLKtyfRzdcQ46aH\n7AOg9lfgOfIj3Hu+jL9ti6HdfSRIsEr8/aJ4frc4liiTcXnS7dG4/b0uvrili16vSnGciXWXJfHz\neTFEysZ9PUpgMXPhG23sb/9wCR9BlLEUfBlz0T0BplkQlK69uPZ8RTcoj47F/fX/h+fazw0jHdXJ\nHUfWkTdEIu4URCQcnQrvvLWRp57/AweP7Rm2PXy06PaoIQuLzxQNr/ChxSfj+t5j+CcbizGCy4H1\n0e+QtHsTY0dlO3tIosBD82L51YJYpCGr1ZeqXFy+tv1jMe2WLTKrn7ySpEnGJEDpq8fY/vMtpzkq\njI8LN+TbSAnq5hrwazxZGu66COO/Bl7gd8DfCgsLDW12hYWFFwNzgN1lZWUNJ8eKCgsLB12Xy8rK\nDgL7gesKCwszgo4VgHsBH/D0Of8Uw2C/xRi/zBssXATWH6ORiXK6B6hqMnZ0TB4iE9W0p5H2kqC4\nU4CplwSxoiUbpoyrQt7b3/iWYVtOuRDBfFYWIWcF74nnB9dfgk8josIYe/gWrMTy1nPccLwT28nO\nwRJfE9HmDsN+UWoakVoStaajbNxtTIyPFg6fyu3vdTEQREgwi/BQkZeYD/eLNiA+JZZnr8inYMDI\ngH9+YAkPdN9gKF40W+JYNuP77I7KQ03N5Af9Wfy71rheyK5t47qXP6BgxfgQHwObxc5tF38dm8WO\nTUvChE6GEgSYMSOgSFB87WRWPXqZgXSkaQKb/zSJiu3jAFC7D+I+8C00r164kZMXY8q/y/A37SYH\nF6TuQETBbrcTF2fsdAAQeruQ9xiN333LQ6/D4SCnLMFc8D8AeLIkHMVGIp/Y2Yo/v9gwluTr543G\nX3Ph/xjJTi0Hmtn9W6M5+GjwpUl2/nphvMGcHeDVFhPfLjXjGgsyi9WG74pbBzfHeXt4d9v93Jhu\n3E0VRdZeOos31szBL4k072+i7PXjnAkWLlxokPdSVXVYyajc3FyDV15fXx/t7aGywGeFiEi8l99s\nGDJt/BdC+/AdI0MLF9tbvbR+DHF3GGGEEcZ/G8KFi1HgxVpj5DhTbqYgJYXazTU07DAmWBd9Z4kh\nQPM3vI7ac8Swj3nC5xEjjG2QY4Eej8p3dxvbHpeOs3Btnv7wPdrl48f7jFJFF6SauXfKyH0tVEcd\nvpoXDWNy6nLkxHmD26b1ryAf2mnYx7f6FpTimcb3UlXe2PAyh/aUIjKEKS15WXnpxSyZe/GI5zqW\nEFrqsfztEcOYmpKB585vGDpIIhKTSbvuD7TWTx4cE0VYllzBvJQtKIIxyS4icyxtLn+asQhPUOAW\nZ3Hz+dYKbljvw3wyP+uXRN4T3Tz+wr0cff1B1JPGwy9VOXnksDFBNTnexJNLRi4Fdj7QXd0VkgDN\nuiA7RHrtw3D/8nl8cHUCi0yhiXSnYOaZgSK+6osm4eH5LP/5SmxJod0nXRVdvHrnUdb+cibuuO8j\nJYR2GwCoAyfwHP0Zrl1fxN+yCU0deVArCAK3TIhk65XJLEgJLcq9WOVi8ettbG/xIIkCXyy2s+Pq\nZC5OD01QlHT7ufitdr63uxeH78OLBKa0S7HO+H8IZuMiUHO34d73DXyNbweYTqKIb80tuL7z6xDp\nKJPbxZUHtvJppYXIGC2kIAenfDAk9mw/yJ+f+T3vffDOmPpgPFfhIFiCNtMusSJ9GP3jU4iIxH3v\nQ/iWrjbOU1PJWP8iGWufA//H6wlwZ1Ek/1yZQIzZ+Jvd1+Fj2Rtt7PuI4tS5gCXKwpV/+xTRmcZk\n074/7GH/n/ee9/mEcXpYpMB9IhhPlAzQ5w13XYTxfx9lZWVu4B4gBdhdWFh4f2Fh4W2FhYW/At4E\neoEvBB1SCqwd8jZfBiRgS2Fh4d2FhYW3AW8BFwE/Lisrq+I8o6u1h6NRxmziXGsFLtXMQU+g7rL0\nNJ4IZ4LSun2oQWSMpNg0UuKMalkH/2qUvs2e2U3sOJ04YMq8KsS/T3U1o3TtM4zJ6WPfea7/vVb8\nTfrXaa1QEL16gleLikEqP4zg8xHjVbiuLMD81gSBE1QQIRmJEPHKeGTNxgclb1JaY/Q1HA3u29lL\n6RB5pp/Pi6U46uzv02l5qTy7OI50l5Ep/+f+lTzceyWiECheXBe5nS5TFCumf497Z3yFx44au1WT\nW3u46YUtmPwKU28dnsATH53CTcvuJkY1dj44xU5cir7OLLqmmFW/uRxBGlK8+Esx5VtPFi/6K3Dt\n/waqq3VwH1PWtcjjVhrnFdHJvOT9ZGVmDttRJG95G0HRz6WakhGyzvwwmDJWY8oNJO+H87uQqo+z\nL8tYxIvz9jOv9LfkLTSu63c/tpPmfaFd4CPFVbkR/HNVYkg8+H6XzJXvdNA1Bh4MvmVrUJPGDW5H\n+N08VfkXfjw7OqTjY/+s8Txz2zIcNgvbH9p8Rn5nVquVRYuMDWwdHR0cPmz8PVkslpCOmlMmwqOB\n7+KrUeN1nw7B78P86l+G3Xd8jIkp8Xr+R9Xg9ZqPz2sujDDCCOO/BeHCxQixsbSccs3ILv3ilEg0\nVRs2wZq1WDf5VR31eKv+athHSpiDPO50Xeujw4P7+2h364GuWYRHFsQMBnduv8bnN3cZZKRizAK/\nvyAOaRgJnjOBpql4jv8atCA5IlMM5gn6WlCsrcD80pOG45Txk/BedYdhzOV28ezLf6G1pgdhSIhk\nilK59eY7yM0wmnZ9bPB6sP7uAQS3HsRoJhPu//khRISyvGWrlZxbf0FbxyXBalqMt3dxddYGBDm0\nY2IgMofH56+mMtaYUJ5vauJbW9qYeEwPqHosMv/oruTpP97K7i2v8NXtRl+BJKvIC8vjsQ81SPgP\ngqqorP/6WvxufdFhjjJz8S9WnbXkQUZcHG99egGPFXeQooV6Z9aQyC377PyEfla/eSNz756PbA3V\nWK7fXsezV+9gyzMLUXN+jpQ4vJ+K5qzHc+yXuHZ9Fl/TO2jqR3tNnA45UTJvXpLIj2ZHh/hZ1A8o\nrF7bwQ/29OJRNLLsMi+vSODJJXHEW4w7qxr8rmSAha+18V7jh2uzSrGTsM75LWL0EI9SzYe37DG8\npY+iKYEuLbVw6mmlo5J2bOKuI7u4ackCEjLsqMLw50HwmaksqQ/4YKz/B30Do9MDVjWNp4bIRN1Z\nGPnR9zVZxnPnN/Dc/D8hnSRJ+zdjffRb4Og/zcHnB0vTrGxanRSiV97iUrlsbTsvVZ3/9vXI5Eiu\nfvZaIhKMjLStD77P8X8dO81RYXwc+ExRpCHR0ePVeLI0VNotjDD+L6KsrOxpAkWGSuC7wF+Aa4Hn\ngJknuyo+7PhdwBLgOPBj4I9AKvCZsrKyn5zDqZ8W2zYdRhF1Nnie3EKS1MdeTz5eTEyON5EUMTLZ\nVxhGJmpIt0V/Ux9V64xJxEkXBckrSRGYMq8Oed9AEUEvHIhRE5Cix97n7xR8Nc+DdjKeVDUijxtZ\n6f6i6chH9wxuT293MiMqBwCHptBrKkES9HhUQCRRKUIFXnv/93T1GYsDI8Gr1U6eH2K0fH1eBHcW\njlzOtWBGPs9PlUnyGIlsv+69gid6L0EUNB5N+CvXRW7HIVn5nctYlLL3u7jl+c1EuH3Ej48nY4FR\nBioYikPGpAWZLqPRLZzg7xsfoc+hSwAVXlHEpb9dbSheoAlseWoSxzcHJH81ZyPu/d9AHagBAmQe\nc+FXEWONxKXcqDoK7EZCIACqguldo3+Kb/mVAabYWcCUc3NARlUS6FlqRg2qAQqaSnbLcf6SeqHh\nGNHZxxrbP7HF6aQjTdVY97W38A6MHcFkcaqFdy5LIt1m/H3vbvey8q0OavpHSbaRTXiv+YxhyLzr\nXb5mq+fFixNCOsJrs5N58vMrqdTkEOm40yEvL4/c3FzD2L59++juNq5bh5p0V1VVoSijLM6YLXg/\nZezkMe3YiFg7fFFkqEn3v8KFizDCCCOMc47/3Gzlfzge22dsF86mk2tmTKbstVI6So1ti4u+tWTw\n/5qqBDwf1KCARbZjLrpnVLqzp8Pedm9I4u7eqVGMD+oz/tG+3hDTtV8tiCXDPnJTPH/jm6i9xkSV\npeBLCKaTckQeN9Y//ATBrycwNVsk7i/+LwQZUbd1NvP3F5/CMyTHrKGRnB3Nbdd/Dpt1eNmXjwOW\n5x9HqjMS7Tw3fwU1+/SLMFEUyb3+a/Rqn8fn0YNOu+zjhsytJEaUoqEOOSaK1yev4o0JEw2vxFtc\nfL61klvWeYno06+napuJN6ve4OGebzPFH5D5MYvw3PJ4MkfxPZ8P7H9yDy0HjC27Sx+4iKi0kUtb\n3TZvGntvyuXaqBOYhsg5qYLIO+4cFr7dwa6ZZm7ffBfF100mhFakQekrJTxz6fscWH8R8uTHkJKX\nErojaK5mvMd/jWvHXfga/m0wHTwbSKLAPVOieHdNssEg7uR0eOzoABf9u42SLh+CIHB9vo3d1yRz\nfV5EyHvVDihcvb6TL23t/lBGlmhJxDrzF8gZV4a85m/ZgHvfvajOk+yxU9JR130ObciiUKqrIvXh\n+7neaueOWz9D7sQ0VHn48yBqJtpq+3jhhRd5/l9/paG55kPPy+nwbqOH6n79s5lEuHXCGS78BQHf\nqutwf+2naFbjMXLJPmwPfhmh5dzoWp8pxseY2Lg6iRVDums8Cnx+SzcP7O1F+Qhfk7FGbE4cVz79\nKUyRxo7EDd98h5r3P16T8zB0xJhF/meSkfn8u5J++j+iEyuMMP6voKys7L2ysrKVZWVlsWVlZaay\nsrLMsrKyu8rKyqqH7CeUlZUVDXP83rKysstOHh9RVlY2s6ys7K9D9ztf2NVgTEjPswZivVP+FqOR\niXK4+6hu/nCZqCPPHkILEtaPy3AxbqKedDRlXIFgijIco6lefE3rDGNy+uUjnudHQXU24W/ZMLht\nqVORgmIETTYhVRw1HKMUTOWy1fcTY4sHoEXxIFlLjXPGQqIyEafm4q//egCfb+QklZp+P/d+YCRt\nFMbI/Gph7KjXidMWF/NMnpc4n7Hz+qc91/G3/mWDxYvrI40WLSafn1ue30xsb6CYMvXW6aedi6Zp\n7N9v7LxxCG34BTe9ji6e2fgobq+e6J1weSGX/W4NomyMGbf9rZhj7wY6iDRPB67930TpDZx3QTTh\nSPsyvd4hUlVdr+Nvec8wJh3cgdilk8A0swXf4rMnCgqCgHnCF5FSLkS1C/ReYCI4ukr09jHJ0cBj\n6asMx9n9XazON3ad9tb18t73N571HD4ME+NMrF+dRHGccW1Q2edn1VvtHOocXaHEP385SpaxaGB5\n/glWZVjYsDqJ3Chj0aQn1s5f7rqYv7/XRF/98GbXQ7Fo0SIsFv0+paoqW7ZsMUhGZWVlGfbxeDzU\n1NSM4BMZ4V+4AiUjzzBmfvH3w8rDDpWL2tHqpckRlosKI4wwwjiXkB544IGPew6jgsfjeeB8/82G\n7m6+X2JBCWLi3jWugwty01n71Tdxd+sBWcEVRUy/Q29H9dW+jNJiDFYsRfcgxU5mrOFXNW7a1EWr\nS3/g50VJ/HlpPPJJxvG7jW7u22kMKG7Ij+D+6SNPCqvuNjxHHtQZTYCUMA9T3h2Dga75+ceRh5jd\nuj//PdSCKYPbRysOsv6d4f0sps4u4uLFl59xEH/K5CshIdS/YKwg79yE5WWj2bpv3jJ8131+WJPx\noYjOn8iAowBv807M1sC5EwTIj2rHLHbS4EoxyGQJiHTbx7EvJZnCzkasQYyTNGmAubUu+vriaB53\n8vsXBDotAoXafq5z7uCaxUtZkROqBfufhPbSdtbd/ZZhMZy3Ip9F31oy6gWcxSRzRXEWS6K72VfX\nQQfGBZBbMPN+TzQbqmv41I15LLp2Jj013SEBuOpXadzdQMm/6rHlLSd12XUIqgvVUQMMCXgVB0rn\nHvzN6wAB0Z6LIJ594SglQuKWCZG4FI09Q2SB2t0qz1Y4sEgCs5PM2E0ia3IimJVkZkerlz6fcU5H\nu3w8X+kkI1KiKFYe9rwKgoScMAfRloHStdfw29a83fhbNiJGZiPaMkAQUAumohTPRCrdj+DUC6eC\noiAf3IG5uY6sS29i5pxFYPHR1tmE5g+towuI+JwqFeVVHC7fg8kikZwwLmS/0+HrO3qoCUpKXJMb\nwU3jz67QqZRn76sAACAASURBVKVmokxfgHR4p/GzDPRh2rEBNW8iWtKZz2msYZUEPpUbgVvRQgw0\nd7Z5OdTpZVWmFctQU4xzCHuKneSpqZT/+zjaycKJpmpUvVNBxvxMotL/s/10Rorz8ZwZS0yON/HX\nMgeekz8RtwJRJpEFKSNPcIZxdrBarT/6uOcQxn8GRrueeWRXC/UR8YPbd0VtZJK5nl/2Xk2TEs+3\np0eRGz0yosqhqg84Xn9gcDs5NoOLpuseAX63n3Vfexu/S48NZl1VSVLuyc5EyYp10ncRJKNMo9K2\nFaVlkz4gR2KZ+I0RxUVnAm/FH1AH9LpUzE4BKSjhqGbkIbU2Dm5rkoT73oeQ4pNRqyWqXAHpmi7V\nQ5bFh8evn28ZC5JmoVto5vjxHcydapQzOhP4VI0bN3ZyIihusUjw6srEQTLZaJ8zmfmpTGus5q1+\nE15RJxi865pKptzBZEs9l9gO0qFEc8gbYMBPKqlj7p4KBMBkM7Hy0cuQLcN/R9XV1ZSWGgs7HfJx\n1JNdKg53H00dJ5icO2/QryB+QgKJE5OofKd8MGYAqD+chGz1kzK+F1Qv/tb3EaMmINrSKC2rYn+V\nRk5UPbKony+lczdS7DREa0AVwfLMrxGD/Ar8i1ahzLtoROdOEASkxHmofeX4TS0ggLlFX2NneLvY\nHZ1PU+YkJraXDY4nmHtxapE09+qxT0dpO9GZ0SQVf7hB+Nkg2ixybZ6NbXW9NHn0mNrh13i12sXM\nRBM5USP8bQkCWmoGpu16oVHsakPJyCUhP5/r8yLY3+GlbiDou5AkjhRn0bDlBGuWpH3kus1kMmG3\n2zlxQie5OBwOzGYzKSkBE3RRFBkYGDB4W3i93hDj7rP/fCJaUiqmHXqORmxvRhk/CS3FKMEXaxFZ\n3+Cm2al/9+mREnOSP36PzTPFJy1eDeP8Inx9hHG2OB/rmXDhYgT43jv7OODRf8hRmpsXriykdn01\nR549NDguSAJr/nQV1phAoK4OnMBT8nMI4shLiQsNCf2xxB+OOXhhSKvxUxfGMyE2EKh2uRWuWd9p\nMH7LtEu8cHEC1hEmuTRNw3vs/6E5avVByYZ12oOIpkDCUDq4A+vzvzMc57vgUnxrPj24vWXXBg7s\nOhrqZyF6WbHyYqYWzTqreZ3rG7DQ0kDEr76D4A/WUE3Hfe9DYDrzQMaWmg7xS+k8uAtbtM6ISrQ6\nyY2qpXwgATQj+1uV7exLy8fs6yVtQJevsUgKUz1dZB43UxVvxWMLfM+KKNBt8eOtXkdU4zESJyxG\nOMuW6fMBv8fP67e/iqNVTxZb4yK48m+fwmwfu+AwIz6WO6ck46zdy3FXJB7ByBRv06J4oVqhw3mC\nL913EZmzMmgvacPVZWwN9jt9nNhUTeX6ZmImryRp0adA8Z4sYAxhMSsulK59+E5KJAQKGGfhtgjI\nosDydCsLUixsa/EYChKKBu81eXi/ycP8FDMJVon8aJnbCmw4fBr7O4xsQKdf4/VaNwc7fcxPNhMz\n1OnvJER7DnLifJTug+ALaoNSfSit74PqR4ybgiCIaAkp+BZfgtDRgtRYY3yfplrknRtRcwsZN2kO\nM6fOIS4pipbuenwuJUQSTkBA9Yo01Dax/+hOnN4+0lOyDCZ9Q3Gky8cP9xpbtX67KI60yLOXytBi\n4vAvuBjvkb2Y+3QGqeDzIu/YiBaTgJpTcNbvO1YQBYFl6VZyomQ2NLoJqvNR1afwdp2b5elW4izn\n73cemx1LbHYslWv1VnvVr1L5TgU5F+YSmfSf0yk3VvikBfpWScCjaGxr0Qteh7u83FUUeV4LXf/N\nCBcuwjiF0axnXP0uvlMp4g9K+P8w7h+YBT8/6LoZkyTyyII4TCOUf12/7yW6B/RE4byJF5Obqjeh\nHP/XMYMRr9nmZ+lnS5DkwMPIlHkVclKopKan/Hdobp0NL6ddipy0YERz/Ciojjq8ZY9zilBialOx\nHzQW+wVHH0IQu9u36jr8iwIFiN3f30NfSy/+7MC6ql3pJ8tkxaPopBczdlT8dGmtlJftZfbk5Wc1\nx4f29/PKCWNs+bO5MVyWpTO8x+I5k1uYTlHVMd5yR+IPkhfb4JpOgamJAnMzF9sO069GsN+bT1tK\nLC6rmfyqZiZdP4UJlw0f72iaxrvvvovbrcuQ5ufnY45R6ehrGRzrHminx9HBxKxZg+vf+Px4kiYl\nU7W2wkBWaixJADRSC3sQUFDaNiNGpLGnpJWeAT8d7gRyouoYvLQ1FX/HTuSkBUitHVj+8QfDHD13\n3Y8WO/JzJwgSUtIilO6DeGM7MXVoyP36fOf1V1G/8Aoy87MN3TvZ0W2UdaXh9Orrl7qtNYxfNYGI\nhJFLgA2FVRKYJbbR4BKocuoxn1eFV0+4yI2SmRR/duuNU9CSxiHWlCEGdRtLJ8rwLbuCCIuJ6/Jt\n9HjUkDXGsehoDlX3cVmB/SPvQXFxcXR2dtLbq5PEWlpayMnJISIi8Duw2+2G4lh/fz8TJkwwdGKM\n6PMlpyOWHzEUusSGavwXroYhsrF9PpX3mjz6tlfltoJPTlz7SYtXwzi/CF8fYZwtwoWLM8DHUbj4\n5s5++tFZQ5fa67luSi7rvvY2znY9yTrxU5OYdH2gg0DTVDxHfoTmCZKRMkUTMf1BBDlUxmW0aHIo\n3Pau0bfi2rwI7pkSdXI+Gl/Y2m0ILkQBXliewISYkQU0AErr+/jqXjKMmSd8ATl+BgBCbxfWR76F\n4NGDWjU5Dfc9PwWT6aQJ90vUlrcgDFEyE6w+rr/mZsYlG3VXzwTn9Abs9RDx8P2InUGtyLIJ932/\nREs8e7N1sz2KyKJLadpZgT1aD54sksKk6Fpa3CID/jjD+REFmdr4HI5H2ZjS3mQ4c8myk3mNA3jb\nYqlLUzkV3btlkRJ3FzU7XyHZ7yY6c+rZf/ZziA9+sZWqdZWGsZWPXkrqjLFnt4uiSKassDrRRVN3\nOzX+GEOXjCKIHHbH8cKRJiZkebnxmyuwj7PTergFn9MYoLu7XVS8WUbdB50kzr2UuNmfAtWP6jiB\nwcgEQPWgdh/A1/gWKG7EyJwQRuJHISdK5ubxNpqcCiXdRsm3RqfC38sdgYVMohmrLLIiw8rydCt7\n2710uI3zqerz83S5E1mEWUlmpOG6L8yxyKnLUZ1NaE6j0bnaexSltxQ5YXbgc5gtKLOXoiamIpXs\nM5gjCi4n8vZ1CIqCUjCVuLgkphbPJCc/h9beehwDTgSGKTIoEh2tPew/vJvW7gbSUzMxD1Mc/OGe\nXo4GnY8FKWbuG0UnGZYIKtMmYO7pIKJNZ2QKmoZ88ANwO1EmzQxZ3JxPTI43sSzNyvp6t6Eg3elR\n+UeVk+mjYduNAIlFSVhjrdQGSUQpHoXKdRXkrRxPRNzYP/s+TnwSA/3J8SaeGtJ1ER3uujhvCBcu\nwjiF0axntq07wLNuvYM2VermvtjX+MBTxMuORSxOtXDrCJNqA64+3tr1d8PYmgW3E2nV1xOb7l+P\noy1o/XNRPdnTT3o9iBask78XEtuojlp8VUYDXEvRvQjm2BHN86PgKf8dmqNmcDvqgAm5Wy9cqNFx\niC6d7KXGxOH+6o/BZKb1cAs7frkNU00kvpwB1FgfCAJ9WjdJYhy+IMMDqxaLV+in299GbU0pMyZe\ncEbz29rs4e7tRomoVZlWHpobYyC3jdVzZsKkLHKPHGStEoN6Mm7REHjHOYNJ5nryTa1cGFGCV5PZ\n7SmgMSOR7vgovnRnMVGnIR6cOHGCY8d0STFBEFi+fDnTCxZQ3XSMPqdO/GjtrkfVFPLGFQ+OxeXF\nkzw1lcq1FWiKHp82l8Xj94qkF3choDHQvJ/9zQEWvNNvw+GzkWkPMrxWPSgde4jY04xco8v3KgVT\nDSS5kUIQZeSkRfg7d+FJ7sd6QkEMWgrkntiP99a70Wx2pPKA74YkamTHdHCoJRNVC5xv1a/SuKuB\n4usmIcoj958Zit7uLpYlKFij49gd1JWtavDvWjeRJoF5ySN7xivZEzC99wbCSQklwTmAZrOjTpiM\nJAiszLSSZBXZWOdCC7puKz0Cmxo9rMiwEn0achQErplx48ZRXl4+6F2haRptbW0UFBQgiiIRERE0\nNDTgcOj3HJPJRHp6+une9swgCKjpOZjef3NwSOztRk1ORx0ik5Vmk/j9Mf3vNzlVbhpvI/Y8EoRG\ng09ivBrG+UP4+gjjbBEuXJwBznfh4t+HS3mmOWZwW9A0/rgkDveBDvb/KUjDUoBLH1s9yKLwN63F\n3/S24b0sxd9Eii48J/P82gc9HOrSo6hos8CLyxMGTZifq3Ty6yNGjdOvT7Xz6VGwBTRvL+7DPwRV\nZyCIMZMwF/5PIOjWNKxP/BipTk9Ga6KI++s/R0tOw+f38eJrT9Pb4g5hXEclmbjpU3cQOYzB9Zng\nXN6ALc/+FvngDsOY59N3o8xYNOL3FGWZuGnLaT6qYBaOIUonA0QB8qPbidA6qPMkIaInbAUE3BHx\n7EjPJrmvjfig4pBJVJno76bwuEC9NYr+GH1B0GOS2NdZReeOV0mNisOWaDRH+zjQsLOeTd9Zbxgr\nurqYuXefGyYeBK4Rm9nEly+cTpHYwL5mF30YE6v9WHmzxcq20mNcuSKHJZ9bgCgLtB5qQfUbiwAD\nLQMce7mEtmP9pCy6jOgpAVNKdaAahvhqoHpRe44E/C98fYiR2QjymV/rVllgTXYEhbEyW5o9BFtW\n+DV4t8nDluZA90W8VSI9UuK2gkhkEXa1eQm2QfCp8H6Th7dqXRTHm4b1QBFEM1LyBQiyLdB9ESSJ\npblbAu38McWI1sTAQiB7Av45FyJVHkXs0Y0rBUAqO4xUsheleCZERmGz2iieMIVJxZPp8bTR3dOF\noIUu6ARNor/bxaEjB6luLCUxIQm7LZBIaXYq3L29x/C5fj4vhoLYkRdlATp7eugtnEF8cjJy6QHD\na1JlCWJtBf7pC8E0ur8zGqRFSlyTa+ODVg8tQW3sbgVernYRYxaZlWg6J11+wyF1xjgEERp21A+O\n+Z0+qjdWMf6yAixR/3cS5J/EQN8qC7gUje1BXRdHunzcVRSJOdx1cc4RLlyEcQqjWc+8vvYg71t1\noszSiBKuiNzLCwMXsNtTwJ2FkcwfYTHyYNU2yhr0bvLUuCwunHbF4Hbzvib2PL5TP0DQuPBzJVgi\nA8QBOeNK5OTQeNhb8wJqny6nI8ZOwZx9/Yjm+FFQB6rxlj+h/61+legdbsNKI5hQBeD59D2o4wNJ\n9W0/3UxnWQeCJmCqisI/uw9VUvADmtSNTU1GPUm0EBCI0OJxid10ultoaa5nyoR5Hzq/QAd8B/1B\nnbOpESKvrkwg0mRMhI7lc2ZylIuMV55jbdqMwSSzisha50wmm+vIM7VyQUQpAho7PIW0psRxTDNx\neXao/KSmabz33nu4XHrHSH5+PhMnTkQSZSZmzeBY7X5cXj3ZW9tajt0aQ3rQuiM2J4602WlUvl2O\nGuS51FYZi7vfROaUTmodGTQ60wZfM8VMoKiwELUnyJzbP4DfV0NEtYJw8rR6bvoSWnrOqM8bgCBZ\nkBLn09u2FS3ZTUSl/ncExY90bD/uz30bRBGpPCAxFmn2Yjd7qOjUf6uuTieuLhd5F+ePybwgcI0I\nAlw3NQ27SeDdoM4ACHRk9/lUlqVZzj4WjIpF6OtGOqF3WEnVpfiWXg6WQHFyZpKZov4B1jV68Jv0\nNUSLS+Wf1U4WpFg+tPvZZDIRGRlp8K5wOgNFxbQ0/Xuvq9PJU729vUyePHnUsa0Wl4jQ2oDUoEvK\niTXl+C66AiT9s8SYRd5t9NDo1Bdc8RaRRamfjJj2kxivhnH+EL4+wjhbhAsXZ4DzXbj47qZyTig6\nG6hQbON/lxay4b536G/SZXrGXzqBabcHugw0by/uIz82GHJLSYsw5916Tua4tdnD94dIpPxkTgxL\n0gIBRU2/n5s3GrsxZiSa+OOS+GEZ1mcKz/HH0Pr0QAbBFJCIOsmeMm16DfP6Vw3HeK++E2XBxQw4\n+3j+5afx9Q8JhNHILkjlqktuQBJHzkY5Vzdgedd7WF76o2HMN+dCfDd84Yx8LT4KsYXT6e/Nw9e6\nG5NVZ48n2JwU2E9Q4YhFU43eDKJo4XhKPjVmmUldLYaFWZzJzfyObiJORFE9TkANyq+2mkT21B3A\nuecN0sYVYI5KGvX8RwJPn4fXbn0Zb5/+e7GnRXHFX65Gtp47tnjwNVKUmsRdk+LoaDxKqdOOIgRd\ne4JAvRrD38tdtLQc59Zb5jHlxql4+710lLaH2Fr0nOjmyHOH6G/2MW7JZdiLrgJBQh04AdoQA0dN\nQe07jr/h32juFsTITN3Q/gwwMc7ETfk2qvv9VPQauy8aHArPlDuwySKzkkzIosDiVAtX5ERwpMtH\n4xBjuXa3ynMVTuodCvOTzdiGGCcKgoAUU4wUNw2lcw8oQYt+xYm/ZSOCKQoxqiCwkLBH47/gEvD7\nQswvxe52TFvfQUtIQc0MmOOZZBPjswuZOW02iuyirasZ/MMUMBDxOBSOHy+jpPIAEZFWnqm3GhKx\neVESv5gfizjK32RXVxcIArELl6Fk5CAf3IEQ5C0jtjQgHdyBMm0e2Owf8k7nFlFmkRvybdQN+DkW\n1HWiARsbPTQ5FJanWwe9js410udl4Onz0HJA7yDz9nmoff8EBWsKMUV8fIWescQnNdCfEm/iqeMO\nPCdjApeiEWMWR5zoDOPMES5chHEKo1nPPLO5giORejL06sidzLdW8Iueq2lW4nlgdjSptpHF0Ov2\n/oOegY7B7fnFK8hJ0UlX2x7aQmeZ/nrmtA4mLT8pJSOasEz+LoJslMLRFDee0odB1WMgc96diPZz\nQ5zxHP8tmlMvntuPRWJu1RPsmsmMoAZp8+cW4r31HhAE+pv6ePc7Gwa9F0SvxKKbL6baEUiSuzSF\nWHMvmj8FTkbcAiIRajxOsZ12RyN9vf0U5Uwbdm6apvG5LcYOeAF4dnk8xXGh3aRj+Zwx/+uvVPQ5\naDHHUm9N1D8/Em87ZzHVUkOuqY0F1nKsgpet7mJq+hU2NXi4NMs6SIYDqKmpoaSkxPD+y5cvH5T3\nMcsWCjKmcrh6Jz5Fj88qGg+THJtOcqzOlo/OjCFjQRYVa8tRPPr30nEihoFOK/2ZifQrutH7xKJC\n0osvQXO3GTxMVJuAP1bAUquixSfjvf1eGENpXEGO5IHqAiZZdmC1ebE06AtrYaAPsbUBz+33AiCV\nBYp/KfY+ulyRtDv02L7tSCtx+fEkFiYyFgi+RuYmWxgfI7O23m0g8+xp91HR6+eSzLOPBZXcIkzv\n/xvBH7hmBZ8PfF6UqXqBrignmqSX97JfM+GI1LutBvwaL1U5yYmSKY47fewXFxdHd3c3PT16F1Jr\nayvp6enY7XZiYmIoKSkZNO72+/0kJCQQFzd670Y1ewKmd98YlI0TXI7BrpJgeBSN9Q16UahuQOEL\nxZHnjRg0GnxS49Uwzg/C10cYZ4tw4eIMcD4LF06vh2/t1/AJevL09nFdjO8S2PVrI+N+5a8vw54S\nSFx5y/+A2qe3ziJZsU798Vkxqs8UPlXjlk2dtAdJwEyNN/GbhYGknaJq3PJuF9VBxm8RksA/VyWQ\nFDHywoC/c29Iy7cp79ZBlpXQWIP18R8aFwbjJ+O56z5aOpt5+V8vgdcYwKgozJg7iaXzVox4Xqdw\nLm7AQmsDEY9+ZzBwA1CT0nB//SEwj13CJzItE+KW0HVoJxFRQW2xksbk2Hp63Brd/ljEIFkdARGH\nPZkPxmWS2dlMjF9fJIgC5Ah9zKry0uOMpTVFv1Y0QaBB0thTthWObCI1bw6y5fxqdr773Q007mow\njK1+8iriJ5zbh+fQa0SWJC4pyuLSZCcHahpp0YwFBJ8gccAVx/NHGkk0d3L1nYsYf1kBA60DdFd1\nhbx/x7F2jjx7EO+AwLillxCRfyWI5kABQ/UO2VtFHajC3/Bv1IEaBNs4RMuZfX67SeSa3AjyomW2\nDdN9sakx0H2xMMVCnEUk0SpxywQb42wSO1uN+0OAff33CgfxFpEp8aFMfdGajJSyDLWvHM3TFvSK\nitK5B9XVhBQ/K+DhIUook2ejFExGOroXwaMnDgS/D3nvFoT2ZpTiWYNdC4IgkJGazcxpc4iKt9LS\nWY/fow7rg6F4oKK6iUfbU/EH/R6+NzOa2SNsiw9G8DWipeegTJmDdHAngluXlxD7upF3bkIpmIIW\nP3ami2cLkyiwJttKhCSwudnItjvc5WNbs4dVmdYQNue5gCAIZC/Joa+pj45julyiq8tF/Qd1FKwp\nOq3R5ycJn9RA3yoLOPwaH7Tq96Gj4a6L84Jw4SKMUxjNeubRPe00W3VS1eej1pMi9fCD7puItcj8\ndIjc0Jmi39nD27ueM4xdseAObJbA+magdYB3v73eYKi88NYyopMDz3Y57VJMKReGvK+/ZRNK2xZ9\nwBSDZeI9CMLYyeWcgtJXga/yycFtwasRs81rIB0Er00A3F/9MVpCwAx4z+M7adqty0PG5cez+sfX\nIAgCJ1oCZK0e1Uu61YXXpyeeRWSsaiwOsY2WnlpURSIvLdQb4qkyB4+XOAxjX5ti547C4ckPY/ac\ncQ5w5MV/cO3EuzlhS2FRz/HQ4oVj9mDxYq61khjRwWb3JFpdGq/Xurg43UKCVRr0thjabVFcXGz4\nkzaLnZzUQg5X70AN6jwurdtPVvIE4oIIU1FpUWQvyaHqnQqD6XtXfRR9LRGIhSaEkwn3GXF7iUqb\nF/Ce6D2O5tZJEkqMiGoBZt6IWjh9dOdsCHyqxuc/UNjkLGJ15m4inH5MXfpvQWyqRZNlfFfdjgbI\nxw8iCJAb187x9nG4/Ea/iwmXF2CNHb2E5tBrpDjOxLxkC2/VuQykxdIeP7taPVyeHXF23pYWK4gS\ncomuNCHWluOfuwyidFWK/CnJCPe/Rkt8NJ2J+hrKr8EbtW78GixONQ97bxIEgbS0NCorK/H59HV2\nc3MzhYWFmEwm+vv76ejQi6Y+n4/x48eHvNdZIzIKwdGPVKXnbqQTpfguXA1mvQiTFy3z+2MDg75y\nvV6NxakWss+jJOtI8UmNV8M4PwhfH2GcLcKFizPA+SxcPLZ5Hxt74we3rZqPpy/NY8cP36e3VmcE\nZC/NYfYX5wKg9JbiLTcaUZvybkdOnHNO5vjHYw5erDIauz2zLJ7Mkw/RJ0oGeKbcaNj9i/mxXJxx\ndrr6wdD8LjyHvg+KHngLkTlYiu9DEETweYl45H7Ebj240Kw2XPc/TFlbPeveWY+oGllFquDjohUX\nnrUJ9+kw5jfgQV+L1sEhTTbh/uYv0JLTPuTAkcFsjyKy8DKadlVjj2o0vJYd1UGC2k61Lx5RM36P\nohTB0bR8GhCZ1NtmeC1C9jPD1UXGcTPV8RF4bHo0q4gC1Xg5eGgt1qrdJI9fjCife1Z0xdvl7Pjl\nNsPYjM/OYuqnx3axMRxOd40kR0dxx7R0ovvLOdQl4BSM12o/Vta229h0pJRFhXYuuGUOWYuz6a7u\nZiCoCwtAUzSa9zdx5LlDIFoYt2QFlpyrEEzRqAO1oBh/uwCasw5/01rU3mMIlkQEa8pHJiAEQWBy\nvIkbxtuo7PNT1Tdc94WTKJPAzEQToiAwPdHMLRNstLsUgzcEBGSG1ta7eb/Jw8xEM8lDipyCbENO\nvQhN8aD2lRpe0xw1+Ns/QIqdgmAOMKG05DR8i1YhNtcaTP4ApPoq5N3voeQXo8Ubu34S4pKZNmkW\nmTnptHTX4Rpwh3jh7BSyOCrqPih20c9v5tuxmUd//Q69RrS4RPzzliEdP4TYGySB5XEjf7ABLS4J\nNXvCqP/uSCEIAvNTLExPNLGu3m1YsDY4FP5Z7WJhqplxI2Tinu1cci/Kp7Osw1DYc7Q5aN7fRMGa\nwjHVeP448EkO9E91XZy6Rpx+jTizyLxw18U5RbhwEcYpjHQ94/N4+d9SFV+QMff/xr3MQW8urzoW\ncUmmlatzR2b+e7ByG+WNukxUWkI2S6auGdze98fdBhnAmHEO5t9YcbLhWMAy6f5hu0a9xx9D8+rP\nTFPGlcgJs0c0x4+C9/iv0Vy6/0FkdRyWGt34VxOMNAjfwhX4V34qcKzDyzv3vG1g/S+8fzEpU1PJ\nTimgob2Krv5AbN2uOsm2qLj9egFJwoxFi2JAbKWhrYJIayLpSZmDr5d2+7jtvS6CLKmYmWjiyaWn\n74Afq+dMx3sbuFRaQbcpUCCptyaypKeUWqsedylIvOWYzXTLCXJM7cy0nCBd7mKjayo9XnjlhJMF\nyWb8HQ0f2m0RjJjIeFLiMymp2Y12skVZ01SO1e5jfNpkom06Yz4y2U7ORXlUvlNh8JNTOzTUFgWp\n0ITN7GK6/X3Urr1ISYswpS5DqX8fTdPXpP5EES1vGlLC2Hr5bW/x8rdyJ21KLAe8+Vw6fi8RjX6k\noFBeOn4QNacA/7I1aJKEXHoAWdTIjOnicEsG2skYVvEqNO9tYuK1kxDl0RFKhrtGcqJkVmRYWVvn\nMnig1Q0obGhwc1lWBFFnQWRRsycg79iI4AzITguahtjZhn++bkhvibIg+xRi/rQdv0miPssY03/Q\n6uVYt49VGdZhSRKyLBMXF0dlpS4x7fF48Hg8ZGVlYbPZOH5cV3ro6+ujsLAQszm0U+lsoeQWBrpK\nfEFdJaqKMkXP31hlgePdfkp7gjqbNY3V2f/5/m2f5Hg1jHOP8PURxtkiXLg4A5zPwsW3trTQpumt\nqfPMjVxhiWTbQ1sM+614+BKi06PRNAXP4R+heXUzMsGWhaX4G+eEVdTqVLj9va5BuQeAm8bb+EJx\nICgt6/Fx5/tdg8wAgBXpFn42QibWKXgr/4zavT9oRMQ67QFEa4BtbH75SUz7thqO8XzmPnb7nOzY\nugcRIzNBk71cfdU1ZKWNXcv4WN+ALX//DfKhnYYx781fQZl1ZiZ8I4Eoy8RNXUZbpQ3JfQjJpH/R\n0TY3vwlUagAAIABJREFUE201VDrt+FS7IZkrINEfk8L2cWlktLQRoxnZ/cmykwWNfUgNMZxI09CC\ngkePJHLcN8Cxva9hbzpGQv4CxFFIdn0YHK0DvH7nP/G7gySxChK49PE1ow7izwQfdY3MyU7jjqJI\n6muPUemJQhliwtykRfNcpY/K6qOsWTSeGTdPJ3lyCh2l7bi6jAUJxatQv72OYy+XYImOJGX+UkxZ\nVyBYklGd9eA3FjwANFcz/paNKF37EEwxCLb0j/zdRplErs2NICdKZmuLB8+Q7ouNjR62tXhYlGoh\n1iISaRJZnR3B4nEW9rV76fQYfTsaHQpPlzsY8GnMTTYbFhqCICInzEKMzEbp3AtaUPHD14e/eQOC\nORbRPj4wb4sV//zlaFGxSKX7B1uyAQRHP/LWtQiqijJhSkhrf6QtikmF05g4cSKdjmZ6e3sRNAkV\neEGajiuouLRYqcZ7dAO1LRWkJI3DZh1ZAgdOc41EROJfeDFicz1iU63+GVQV+cB2cPQFOkjGUJ7g\nbDE+xsRlWVY2Nbrp8eoPgH6fxotVTtJsElMTRr/Q+ygIokDeivG0HGiir15PHPU39NF2pJXxlxWc\nl9/6ucInOdCPkAWcvtCui89OjMR0niTF/hsRLlyEcQojXc8c3VnGkz06Oz9O7Of+2Nd4fmAJez0T\n+PIkO9NGeH9ft/dFehx6gWF+8SqyUwJdA36Pn3Vfext/UEJ51lXVJOcFpGqlxAWYMq5gKJS+Cnw1\nzxrGLMXfRDBFhew7Wii9x/BV/VUfUDVit4Pg1rsQg+9umsWK+56fwkk/vSPPHaJ6nZ40tcZFsPKR\nSxBlCUEQmJA+hcPVO/H4AlKZbUovOSYz7iAZIxkrsmbFIbZR03iU5NhcEmOT8Soa123opCnIi8ou\nC7y2KpEE6+nj7LF4zrh9Ktdu6uZ4kC8KwLdXFDD7yE42B40rSLzlnMUM8wmyTe1MNtdTZG5gnXMG\nA4rIK9VOaKki1qMTEvLy8kK6LYKRGDOOWHsipXX62lFR/Ryr3UdR1oxB43cAW4KN/JXjqd5Qibdf\nfz5pXSpqnZ/cWW1kxjajebtR2rchJy7A/vouvDHdaGb921X6DiPashDt2SM7acPgT6WOQfPren8S\nyUk5TBy3l4hqP8LJeFsA5IPb8c9egjJ7CZrFilyyF7vFg9Xko6orZfD9HG0OfANeci4c3fr3dNdI\nSoTEmuwINjV66AqK79vdKq/XuFiebiHxQ649AyQZLTYBec/mwSGxpR6laBpakk4eSpk2joo3jpOx\nv4bYHgcV48ehBcXD5b1+NjZ4WJFhGda0OyYmBpfLZeis6OjoIDk5mXHjxlFXVzfofwFgNpsNPhgj\nhtkKgohcsk//fDXl+BeugEj9+owyCfwjiDBa3a/wuYmRIR4w/2n4JMerYZx7hK+PMM4W4cLFGeB8\nFS4qWtt5qMw6aF4G8L1iPx1PltBVoQf1aXPSmX9vQB7J3/gm/majwbB18ncRbWPPyAe4b2cv+4I0\nUqNNAs+fNOT2qxo3buykwaEHKjFmgVdWJg4bKJwplN5jeMt+axiTM6/GlLYKAKlkH9anHzW87pt3\nERvS0ji6v9wgbwQg2vzcdO2txMWM7Y1yLG/A8o5NWF75k2HMN+dCvDd+cUx8LT4K0fkT8Uqz6Cvf\njdWuB0uSrFEc28hAr5d2opAwLlRFycbRzFyqNRNTelsNU5VFjfFaDzMq/PR6YmhLNiasnfL/Z++8\n4+O66rT/vWW6NNKod6tZxUVyjWucOIlLCgkpJKTQycLLroGFBRZYFpZdYMOy1LDvwrtLCaGmkOrY\nsZ3u3iVbVrF672363PL+MbbuXMtFckv56Plvzty598ydM/f86vOIHAsM0bD3aRKG2vEULEW4jIFY\nXdfZ/LcvMFhr0MiIFpH3//Ye4rMuvzN7NkxljdgsFm6fk8dNyV6q2rom0UepgsTxkIfHq/uw+FpZ\nv3Ye8x+sxJ3jpu9YH2GvOWkU8YVp3t5Iw4t1OJPjSF20HEvu+xBds9ADXaak52nooQHUvtdR+nci\nyA4EZ160s+kcEASB+UkW7ity0jAaoXHMTInQ7lX5Xb0ft1Vg4SnR5rw4mY+UuHDKAvv6wqZqQB3Y\n1xfmL40BcuMkShJkUwJFdM1CTl2FOlIFkdGYD6qoA3tPUUctilJHCQJaYTnqwtWIdUcRx43ONUHX\nkeqOIlXtQS2tgHijivE0rBYrJYXlLKhYRJAxXhsU2YPh8Em6yoPaUezoBMYj1NTUcKL5KHHx8Rf1\njDnnGpEtKEuvA02dEGGcmEPTCcSGapTK5RPChW8HUuwS9xY6ODwYodUbQ9mnw+a2IINBjeuzbEhX\nOEgtyiJFG2bTvqsVX493Yny0dYTBugGKb56NKL07kxfvdkN/XpLM/57ZdWETueYy0KzN4OyYSVzM\n4DQu1p/Z8tIhtkgGLeESWyMfiNvNIyN30qN6eGR5AgkXYeeP+Yd5ad8fTGN3rPwojlP0ofXP1VL7\nV4NKxWJXuO6Tx5EsUYPBVvb5iQKmWESafofmNZIBUtJiLLl3THt+U0HoxA/Rgz0Trx29mdiPx3RK\nY05chO/8KOqCFQBoqsbWz28mNGrody16eAmz1hg2hlW2kZNSyJHGndHuAUFgUB8hR3IR0owiCSsu\nQMAnDtLQcoj0pCJ+2WTjmRazIPhPV3m4NvP8z9tL3Wd0XWfTlla2hpJM45uKRT67MIkVy0vw/fpZ\n9mUa31NB4kX/EhZZm5hlGWC2pYfFtpO85F9EQLOwP5yEizC5RG2+G2644azdFrHITMrDJts52WVo\nnkXUMLXth5mbvxS71fi8PdFB0YbZNL/SRGjEuGf6mE7wJBQu7sViV0HxQc124t9ox9qlESyUICaA\nrA7sQUqch+gwkgWXgn/cO2oq8PlQZTlleRkE9X3Ym7SJtSUoClLVLpTVN6PNWYTuikeu3kdm/Cj9\nvngG/Iaf03Okm+TSFJIvgR73fGsk0RYtaNrVGzIlzcYiOk+d6qDJiZsa1ZGWnY907ADiUIzv1t6E\nct1tE/6wKIskFnioe+YEmT0jFDT3Ul+aTcRqXKM3oPFkc+Ccot2ZmZk0NTURChkJx66uLkpKSpAk\nifZ2o+trbGyMuXPnXhadCS2/BHnnVoRANDEiaBriUD/KsrUTx+TFSfy+wc94JPrci2hQ4JYvOll8\ntfBut1dncGUxsz5mMF3MJC6mgKuVuPiX7Yc5EjSMvFR9nO+UpPH6N18xHXfDd9eRWOBBDw8TrP5X\nk/CclH491rx7rsj89vaG+MreUdPYN5cksDY7Gij7UZXXVBEAUQN5xSXQQOhahGDVP5uCk4I9A/v8\nryOIMnhHcfzgSyb+dy05nWcXr6TpZP8kihdXssSDd38cu+3yt1hergew0NWK48dfRVCNanIt7fLr\nWlwI9qQUHEU307Wnljh3r+m9XM8weWoX9WoCaA6TFoCIhD8xjbdyckjsHiFNN9OGueQIC/1R+qiO\neDv+OLPS9LhF4qi3h9Y9T5IcGiMhb+Fl+T7Vvz/KkV8dMo2t/PJqZt9Seo5PXH5MZ41kJrj5aGU2\n6YFGjg4oeAVzQNov2NgxFM+LVfVUeFQWrCqh4qFKbPE2eqt6TLQDAMHhACc319P48kniMuJJmr8Q\nOftWxIQy9GD/GdoRpxAZQe3fhdK9DQQB0ZUfTQacA/FWkXsKHeTGSbzVHTJ1ZkU02NYRYldPiBWn\ntC8kUWBFuo0PFDpoHlcn0U2NRXT+2hzgyECYpWlWEm0xXT7WBOTMdejhITRvo+lzUeqotxAT5iPa\nTlFHJXhQrr0Z/F6k5lrT8eLIIJY3NoPdgVZQdtbkoCiKzMou5CedKXTEiIwv1rtYrBsUEQICSlCn\n+WQLR2r3oQsKGakX7lw5jfOuEUFAnbMILSMXqWqvWbR7oAd532uo5QvQE5Imf/YqwSFH14BP0djf\nbxaGPzQQ4a2eEOuyzYKbVwKSVaL45tm0vNZMYMB4Bg03DjHcNEzRhtkT3NXvJrzbDX2HLOJVNHbH\ndl0MR7UuZrourgxmEhczOI2L9Wf+tOMEB1xGhfNGxyEW2xr55vD9FMRb+PKCyVRNU8Ghhjdp6DQS\n8dnJBVw7/9aJ19v/casp+Vy+toP8RdGqaNFdiqXgw5P2Vl3xETrxnxCjb2AtfhjRlcvlhjpcTaT5\nsZiL6yTucyCOjU0Mxc5OS80i9KmvgRQNqDZtO0n14wZNlmSV2PjT27C6zAHJxLhkrLJtIgCvAePC\nEGlCIhHN8AvsegIqYfziCLVNh/lVzxyCgvH+nfkOvr4o/oL2yKXuM48e9/KzBrM9tz7SyqPvL0cU\nBAbq+mn8p52UWrs5mFs0cYyCxAv+xSywtpBv6SfPMsBq+4lo8gIbtWIaISTWz4pn3ry5U5pLXtps\nFCVCW1/DxFgoEqChq5r5+cuxyMa9trntpKxMpXbrCfAZvkl4zELroVTyFvZjcyrEHQhgGdaRgiAP\n6NHkxcQt1VD6dyIlL0G0XZot1jym8N3DRne0LMCPViXiTCxB88QTGT+IrcswtEWfD6GtBnX5erTi\nuWiJSViO7qbQ009NfxYhxbDfW19vpnjjbBxJF+cPX2iNnLYFjw8rnIyx7YMqPNnkpzzRQkniFOhV\nBQEtOz9qo5/+nqNDaCkZJprUxHwPg/UDDDUMkjDmZ+7xNlqKM/DGiHb7FJ0/N/qZFSczN8l8bUmS\nSE1Npb6+fmIsEong9XpZsGCBSaQ7EomQmppKYuLkYqdpQ5LR49zIhwwKY7Gr1dRVIgoCwyHN1K06\nFNL4UMnV1YecLt7t9uoMrixm1scMpouZxMUUcLUSF/+we5xxjA325vgukp9rYeC4UWWQOieN1V+/\nDkEQCNf9HG2szjiB5MRe8S0E+eJpSs6F04LbvQHDQCpPlHl0tQdJEKgeivDwG0PEaOdxW56dbyxy\nX1JFQqTlj6h9Zgoo+7yvRR0QXcf+y+8iNRl897ogsGXpGppGpUnCummz3Hzgtg8hXiE6lcvyAA4F\ncfzgS2atDouF4Jd+YGqLvVqQLBY8les4fEDFI55Ako0f2OFUmBffjhJx0hOxImE2AkXRQX3uLGos\nTsr6+7CI5g6LNNnPst4xHC1uGjNBP6P4ZsQicWiohe5dT5CkhnDnzL/o7zHUMMiLn34OTTHmkLU0\nmxv/ff1VDV5ezBpZmJvJJ+Ym0N9xnPqAC+UMCrg+PZ4/Nuscb6hmbVEaRSsLmPdgJeg6fdW96Ko5\nMeQf8FP/XC2tr7fgzk0gsbQcS9YGJM8C9PCwiad5Aqofdeggkc4XQfEjuPIQ5LM7O4IgUJFs5QOF\nDupGFZrHzQmUNm9U+8IiwpJUK6IgTFRnzU+ysLc3PFFVdBqNYyq/qfOhaLA41ToR4BREGTl1BYI9\nA3XooClQQWQcpedlBEsCYvzs6HNIklErl6MWliHVHDILd2sqcvU+xPoq1PKF4JwsWnmgP2xyIgE+\n7j6GNeiblCQF0CMi3R19HKrey0hgkNzMWUgXoEGbyhrRcgtRK5cjVe1DCMTo/vi9yDtfRsvIQc/O\nP+91riQkQeDGbDuFbpntHSFTN02HT+WpZj/L0mxkn6Xq7XJCtlso2jib5h1NBIeN33qofpCxjlGK\n1hdfloq5q4n3gqE/L8nC/9b6iJx6HPsUHZdFvKQihxmcGzOJixmcxsX6Mz/f00GL0xBV/nD8awxp\n8TztW8ldhU425F5cp9/WA39iNIYmauXcDeSlRYORPYe72fvj3abjr3/4GPa4aBDUWvwppLj8SedU\nuragDhg0q4ItBWvJ3523a/RioOs6oRM/QA8aRR82XwHOvU3n/Ezwk19Gzy2ceL3jq9sY7zSSHGV3\nzaH8zrPTH+WmFtM32kn/SNRGU9BRxCHcegpqjAFt1z1EBD8hcYwKvZpaKggJNjIcIk+sT8ExBarE\nS9lntnUE+du3Roi14kr9XTy1VMeeHU0e7f7hLvqqe4lvDFAyKXkh87xvCXOs7RRZesmUR7jRUcXW\nwEK8uoNWwcOoK51b86ee7C7MnMOYf4juIYNq0x8cp7W3jvkFy5Ek4/41tjfRlziA1q6gjxnfIuSz\n0HwgjdzZA6RX+RFOvSV7ddRVd6FEYvxxPYI6sBspZeUl0ZP9udHP9k6jA2BlhpWPl0VtUymhnEiq\nDO2HsQwb85T6etAjY2jzlqMVlKIlp2Oreosc9/ApvYvoPVPDKh272yi/Zy6SZfq22FTWiEUUeH++\ng96AytFBo5BF0eGZlgBpdomFKRfuGtCT0hC6W5E6WybGxJPHiVx3q6mgL2tJFsf+WIUW0bCHIlQc\nbSFQkUOX3Xg+qTo83xokrOlcm2kz2YBxcXGoqkpPj9FBNTw8TFJSErIsMzhoPKsURaGoyFi3lwIt\npxCpai/iiOH7iy31KNffNkEBmxMn8YsThr3f6VO5u9BxXsq3txvvBXt1BlcOM+tjBtPFTOJiCrga\niYsXq0/wm66EideCrvMfZVaO/esu9JhswPX/cgPJJSmoI8cIN/y36RzWoo8hJ18eoekz8Zs6P481\nmCvnf319EgVumbCqc+/2QXpi2kGTbSJPrk/GdQlVtZq3hVDN94nWFkUhZ6zDkhcVtJPffAnri+YW\n88PFcznoMvN26ugUlGdxy9q7LnouU8HleADbfvtD5Or9prHQhz+PumDlJc3tUtA4qnB7bQbbO8pY\nq1QTFx/D2ytCVlw3mYFx2qQ4NNU2qfsiHJ/MnvwclI4Q+bq5Y0cSdQqEURY3RlCH3LRnaHCGIzJg\nkTg40BhNYChB3LnTE75TQgrPfOQpvN1G1Z7FZeHO392Dw3N1xc0udo1YJImby/K4PSvMseZWOlW3\nqStAE0TqIh4eOz6If6CBNaW55K8poPzuuYTGQwyc6AdzLgBvj5fap2vo2NNOYr6HhKJi5IwbkFJW\noitedF87kz6khdFGj6F0Poce7Ed05pxVFBPAbRW5t9BBtkvirZ6QSbRZ0eG1rhBb2oMsTLGQ4Yxy\nOZckWvhIqZOIBgf7w6arKzq81RPmiSY/OWfQR0nxhaeoo6ohYlBBoWuog/vQfK1ISQsRpKiDo2fk\nEFm9AbG/26QZAdHOBcsbL6EnpqDlFpnu89f3jVIbI5B3Q5aNn9y+lJLSYgbGOxkf8yIw2YkQNInh\n/jEOHT1AZ38TWRk52KxnD/RMdY3oickoK25CaqpFHDQ6ogRVwbL/NVAiqOULon/Stwlzkyysy7Gx\nozPEWIzuhfeU7kWqXWJBsuWKJg+sLitFG4pp2tZoouMYONGPr89HwY2F76rkxXvB0HfKIt6Ixp4+\no3rw8ECYD5c4cb6L9UfeqZhJXMzgNC7Wn/n2UR/jMcUK/5D4DG8Fy9kdKuMLFfGUTqVy+gx4A6Ns\n3vt709gdKz42QRO185E3GYih9syZP8C8dR0ACPY0rKWbJiUjdF0nVPsjU5e2Je8u5KQF057fhaAN\nHybS8kfTWEJ1ClLfWbpXAWXuYiL3fHLCpug52s2eH+w0HbP+h7fgSj17FbUgCJTkVHKys4rxQPT7\nBdGwWYawqmkTAswCAk49mbDgRRFHqNSPUUMFv1ybOanK/Fy42H2mcVThrm0DBGNqSBIUH1ub/5vU\nhz4JokhwNMi2L740UUjkbgywqMDH7sScic+c1rwotvRQau0iRRrnFufBqGC3FkejV+fVrhAbc6fW\nvSkIArNzKukdbmdgtHtifMw/TOdAE3Pzl04Ulezbtw9/2I80x4LWo6IPG8ZrJCjTtC+d/PgB4m1R\nX0iJEwisKUNKW4U2fMS4qBpEHdiHlLbmnIU+F8J3D42Zin8eLnOxLCbBL3nmE0oPI584ZhLrlhtq\nUdKT0HNL0WbNRk/PwXN8O3YpTOOQQa0WGAww2j5K8c2zp20HTXWNiILAxlw7AlEb/jR0YGtHEEWH\nazOsF7y+ll+K5dXnEbTo/RDCQQiHUCuWTRxjjbMhWWXa3mgBQFY1Zu9toPiuuRwOmM+/uzfMsaEI\nG3LNot0ZGRm0tbURCBg3tKuri4qKCpqajKTk5RTpRhDQcgrMXSVjI+huD1phOQAem8gb3SHaYzq+\nXbLA9VlvHz3shfBesFdncOUwsz5mMF3MJC6mgKuRuPjqjgaaVaPlsETs54bdPfQcNgysxEIP13/7\nRkAjWPUtU4BOcOVjK//CZa8oAhgKqjz4yqDJEL27wMGm+dEqku8dGeeZFjNF1H+v8bAo9eI3c11X\nCVV/20RfI1g90Y4SyYbQ24HjJ1830Sn1uj1sLliJHnMPNFQqlpRx3bL1Fz2XqeJSH8DyW1uw/fXX\nprHI8huJ3PPwVdG1OBuGQxrv29JPl1+jy5bM78PXUdrRSVG6mToqzu1jttyBZsmkJ6hN6r6QsNOZ\nm80hj4eslmHcFrMOg1OOMCcyTGmtSEBz0ptyRsCcUwmMwUa6dj2BJxIgYYoJjLe++zpNL580jd34\nvfXkrsyb0ucvJy51jSTHxfFQZQ5FehtHegOMYXaGgoKVnWMJ/PloKx61l8WleRStL6bkfWUEhgMM\n1g1MOud4xxg1fzlGz+EuPMVJxOfmIqddi5y+FnQVzddi7mQA0DW08ZMoHc+jeZsQ7GmI9tRJ5xYE\ngcpT3Re1IwotZ3Rf9AY0HmvwMx7WWXZKiNsqCdyQbee2PAc1wxETLRPAaDhKH7WvL8yiFMtEtVGU\nOuom9PCIidsaQPe3ofS+huguMfiwbXaUpdejpedEhbsjRjWYoESQD72F2NGMUr4QbHZaxxX+fre5\nivAHKxIpdMvYrHZKi+ZSWVGJNzLE4PAAgnaWBAYSvtEQ1ceqqW+rxpPowX2Grsa01ojNgbJiHfjG\nJtFfSfXViCdrUCqueVt1LzKcEvcVOagaiph+f02POq1tXpUbsm1XlCbIGmejcH0xjVsbCI8Zide+\nY70ER4LMur7gXZO8eK8Y+guSrfymzjdhV4Q0CGs6N+W8c53wdytmEhczOI2L8WfaG7r4fpdha1iJ\n8M2kv/A/4+toUTP44YpE7PL0n59VzXuobT888TozaRZrKm4DIDAcYPtXtpo6Rlc8WEdCetTXsBZ8\nCClxcmeCNlqD0vYXY0AQsc350mXvRNd1nVDN99FDhk1lEcqJe7nq7MeLIqHPfQc9wTMx9uZ3XjfZ\nZLmrZ7HkU0vPe11JlCnJqaS6eS9hJZqI9+oKHssIKGmc5iuKJi9SCAljqOIoS6jixvIKEl1To7a5\nmH3GG9G4c+sAnTE6h6Ku8dSxH7Fw9VK0OYsAqHrsMC2vNE8cE5cZz2d//QCWN97kTbvRWa4hstm/\nmFx5gLnWDhLEALe79rMzWEafmki3X+OZlgDXZ9lIdVy46lwURMpyF9HW18CI17jvw95+eobamTNr\nKaFQiN27o10+giQgzbGQF5/L8ElDFFxRJGr6ssmKH8Hj8OOrkAk5GkGwICUtQRuP6bxQvGjDR5DT\nr0cQp+cTeyMaX9w9QmzT9CPLEiZV2IvJiwimDGKtqkeMYeeSqvYQmV8Jnky03EK07Fnk1j/PiM9B\nn88oOBqsG8CeYCdj4fS0MaezRgRBYHWmjUynxMsdQZMdvas3TMu4woYc+/n1z1zxoKrItUZySGyu\nQ124Ej3RmEN6ZQZN207iP0URKgAFDd3c/unFbO8Kme5nw6jC1vYg63LsExo9oiiSnp5OfX09uh49\nWFVVvF4vFouFYNAogLFarWRmXh42BD0pDaGvC6ndoL6VGmtOdZUYdtHmNuP6LeMKn54Th/gOtV/f\nK/bqDK4MZtbHDKaLmcTFFHClExf+cIh/PKQRFoxW1Qfdvfh/csRktK/+2nWkz89A6XgOtWe76Rz2\n+f+E6Mi4IvP72r5RdvcaQT2XLPCHm5JxW0UO9Yf5zFvDJiPknkLHRfPdnobS8TxK9xbTmK38C0ju\nElAUHD/6KuKA0coZESWennMjgRihNQ2FlWuWsXjeikuay1RxKQ9gsaMZ+0/+ycRZr2XmEvz8d8Hy\n9ohvhdWo2PrRQcMSjogy81bcxOxAKniPIluN+coWjSxHM6leiW67FSViNXVfCIhotkSOFmfT4ZUp\nHBvBIpnpozyWIAvGhkmrdeJ3iQzFTzbGBi0SBwebppTAaHmtmdf+eYdprOT2MlZ8cdXbEqi8XJv0\n3Mw0Hq5Ixtt1nBM+BxHBzLM1ipMX+py8XF3LnASVosIMZt9SQtHG2fj6fAw3Dk0652jrCMf+UMXA\niX6SSpJxZWYgp1yDJetmEG1o3hbQwpM+p/vbUbq3og4dQbC6ERxZk+5tglXkviIHeXESu3pCpiSo\nDuzrD/NUU4DSRJkCd/S7pDkkHpjtJMclsb8/jF8xJ7NaxlV+XedjLKyzJNWKTRJOUUctR3Rkog4d\nAj3Gi1P9KN3R56aYODea5BUEtNwilBXrENsbEfu7TdcQu1qRd25Fy8zjez0JJs2GOYky/7Y0wfRd\nJVGiILeYhZVLkBwqvYOdaBFhEm2dgEjEr9FQ30hV/X5kq0h6StT5mfYaEUXUyuVonhSk6n0IekzQ\noL8Led+rqKWVJsfuasN5ius4pOrs7TOvoWNDEbZ2hFibFdU9uVKwuW0U3FTEyc31RHzGHHqP9BDx\nR8i7dta7InnxXjH07bKAJMKrXUYi6ehghHuLnCYtmxlcOmYSFzM4jYvxZ17fepi/qgZXf7m1g4/E\nv8a3h++lPNnN38yZTKs4FWw/9BRD40YRzDVlN1KQUQZENclig9vxqX5WPFAfreGRXdFkxFn0tiJN\nj6F5japoKWUFluybL2p+54M6uB+l7QnTmLuxELmt9azHR264I6qxdQrjXWPs+OrLpqbWtd++kcQC\nz1k+bYbd6mBWRilHG3ehndrvR/QwmdZxIkoqZyYvgsIoijhObcM+CrIqcLsSznP2KKa7z+i6zqfe\nGDFV1AM80vgHHurfTehvvgpOV1SM/O9fIhRTQLD4/1xD7oo8Vq0owfXmW7xmTZso1tIR2BJYRJrU\nmTOzAAAgAElEQVQ0SqWtFZcY4k7XXqrDebQo6YxFdP7S6Kcy2UKh+8Jiz5IoUZ63hJOd1XgDRlfO\n4FgPA6PdWMIJdLR3TIynpKZw+xfuwD/gp6/aWKuqLnK8L4vEOB+2m4MgCeiBLnRdQUqYg+43hJz1\n8DDq6AnktOsRLkAVGottHUGeaDKKAvPjJb62cDL9siAIiJnLCdkasR1rM8S6NZAO7iByzWoEpwc9\nOx8tfzazm5+ioS8Ff8To3Gh/s4XcVXnEZ0/dd78YW2RBipWKJAub24ImCtHjwwp7+8LckmfHLp3b\nDtOKypH3vILgj1K2CuiI7c0o126cWDOCKJBSmkrNXwxB9sBQgMosBw/cXsTWjiC+mIv3BzWebAqw\nLEYw3OFwYLFY6Ogw1oLP5yM5OZnxcYMudnx8nHnz5l0221ErKsfy6nMTRZlCJAyhIGrlcgAK3TK/\nqDFoNr1K1P8pSpia0PnVxnvFXp3BlcHM+pjBdDGTuJgCrnTi4tE3DrNt1DBWbXqEv28bpm9v58RY\nXFY8Nz2yAUHznxLkNoxDOeMmLLnvvyJzOzIQ5u93mel9vr7QzfpcO0FF555tg/QHjUBZukPkL+tS\ncFxE9dVpaIFeQsf+1RR0lFJWTIjwWZ/5DZY95mD0q0VLafUY1SKaEGHdxnWUFc676HlMFxf9AA76\ncfzHlxBHDO5M3WqL6lokp53ng1cOuq7zuV0jvBhT2QFwX5GD716TgLuwDD3uWgaqDuJ0mzn/3QmD\nzFJ7sLjz6fQHkTAnXiSsjKWmcbAgHZpCZAtjpoYSQYBM2Utlrxdns5tgksqofXIg63QCo3PXkySF\nfSTkVZre9/X7eObDT6L4jWBzfI6bO/73TmT79GkNLgcu5yYtiSI3leTxgTyd2uZG2hQ3+hnGc7fu\n5o/NOodqj7Eix01GbjKlt5eRv7aA8a5xRltHJp13uHGI6sePMtI0THJZKo4UD5KnEkvO7QhWD5q/\nDRTfpM/poT7U3tdQ+t4E0YboykWI0eM4rX3xwGwnXT6VEyNm4cbRsM6fGwM0jyusTLfilMWJjo0P\nl7gIKDpHBiOmJKlGNOnxh5N+UuwScz1R+igxrhA5bTXaaA16ODZJo6ONVKGOVCN5FiLIpygZnC6U\nlevQ4xOQThyeaEUHEEJBLHt2MNDZwysJ5YRPBUu+ucRNZfLZk4qCIJCZlsPCiqUkpSfQPdRGJKBM\n0sEQENDCIh2t3Rw6tgdfeAynLR5REKe9RrT8EtQ5i6Ki3cEY7Q6/D3nnFnRPqknI8GpDFATWZtsp\nTYzqXkRicpZ9AY0/NvopTZSZnXDl/pv2RDsFNxTSsLmOSMxzoftgF0pQIXf1Oz958V4y9CuTrPy5\nyT9BI6bp0B/QuCP/6lL4vdcxk7iYwWlcjD/z9MvV7HQYVcXX24+x0NrMD0ffz4OzXazJnL42TTDs\n5/k9v52oaAa4ddlDxDnc6LrO9i9tNekSVd7SQkZp1Bex5NyJnHLNpHPqkfEoTVSsKPfsTyE6p1dJ\nfiHouk645hGTbSE7FxH3wn5T8dHE8U4Xwc/+q6nzcf/P9tC13/DxkoqTWPONtVPef9xOD8nudI63\nGtSyA3qQLEuQiGpokQiIOPUUAuIwIcHPiYa95KbPITH+/AmS6e4zPz3m5b9rzHbhB3t38f2mP6Au\nWI5ywx0ANL/SRPXvjIp5ySax4ce3YnFG9/1ly2aTvHs3O+RUkz27PVCJW/Sz2NaEVVC5w7WPLiWJ\n45E8who81RQgdYp6CbJkYc6sxdR1HMUfNPyX/tEuegY7sITdE8Umc+fOJSsri4IbClEjmuk30xGo\n68tEdqmkF5/yk8PD6EoQMa4APWTQnOnBvihlaerqKTMj/Py416QLcW+Rk/W559aWEwqvI+I7gLXJ\nuK4Y1hCqthJZsQ7BGoeekYtQMofZDU9Q3ZmJqkdtdF2HtpeqKb17Pta4qf2fL9YWmZ1g4bpMG5vb\nggRiijNbvSovtwfZkGvHbT3HPZJktLRMUwxAHOpDS8tEyyueGIvPduPtHqf/uMHa0H2wixsenMd9\nlYm81ROmL0az069EE2A5cTLzT9Gppaam0t/fz9iYoUEzPj6OKIoTz61wOEx6ejpu96UVa07A4QRB\nQK45ZHy/lnrUxdeiJ3iwSgLN4wpVQ8a6CGs6dxZcfm3Ty4H3kr06g8uPmfUxg+liJnExBVzpxMVX\n3uiiVzfEu5bJnWT8qgolYAT2VnxxNVlLsom0PI42bLRWIzmxV34LQbr8jr6u63zstWETVUuxW+b/\nrvEgiwLfOTTGC2cEtn91fRLzpsiheq5rho//O7q/zRiUnNgX/Cui7EKsr8L2P99HiAlfnkzK4c38\nhRPVFpoU5o7b309uZv5Fz+NicFEPYF3H9qsfmIwUgNBHv4haMdkxu1r4SbWXnx3zmsZWpFv57dpk\n5FOtvFa3G/e82+g6OIzd2kis5rnVrpBurSdt3EWPQyYckU1B26hT4KIlP4PaxCQSWn0kWcx0Y7Ko\nUyCOUtYaxtqVSCQ5yJh1crXSoEXk4FCzKYGh6zqbP/M8AzWGAS+IArf/7114CpMmneNq4Ups0glO\nBx+syGWJvY9jnYP0Y65+1ASRk0oivz3hpbPtOGsKM/BkJ1J+1xxyV+Yy0jLCeNf4pPMO1g1Q9bsj\njLWPkVyagsMTh5RQhpx9O6IrDz3QjR4enjyhyCjqwG6Uri3oahjRlYcgGQ67yyJyR76DRSlWdveG\nGTtDiPv4sMLvG/xkOI1EhF0WWJdj532zHNSPRGjzmoMDPkXnxbYgr3aGmJ90SjPD4o5SR6lhtLET\npuP1YB9K9zZERxai6xRlmCCgFZWjLFkT1Y0YMdNqVY63cF/fHo7EzSLkSefR1Z6J/8L54HEnUTFn\nEflF+fSNtuPz+s+qg4EqMdg7QnNbA8P+PgryirFOs9tKT047pXtxAnEwhmZP05AP7UQYHUKduxik\nt0/Mr9xj4dZZdt7oDjEYMhzHkApPNQcIazqrMmxXrPXdkeRg1nX5NLxQjxI09tjuA11EfO/8zov3\nkqEviwLJdpEXWg074sSIwoZcO5nOd67g5LsNM4mLGZzGxfgz//tmE7Wu9InX98btJKxbeMa/nK8v\ncpMXN/1q3+OtBzjeYgTdk93p3LjwLgRBoGt/J4d+YbwnSBrXPVyDxa6CIGGb949npX5Sul5CHdxr\nfM6ehrXk05edQlcd2I3S/lfTWHxPJZYTx896fPieh9HmGvqDYW+YLZ/fjBoy7JiVX76W9Irpdc2n\ne3LQdZ2WXoOaaED3k21RCKtGYkJAxKmlEDyVvKht3EdqYj4piecujJrOPvNqZ5DPnCHGXeFt5a/H\nfohVVwl98DPomVFR7le/sYOxNqMYruyuOZS930z5tXhpMRn797JNTDElL14LzsciKFxja0ASdDY6\nj6AisjdUgo7A1o4gg0GNtdk2pAvs4VbZxpy8JZxoO0wgbCRcAuooqhDGoSchILB69WrsdjuCIJCf\n4SPurWdoGjbft87jyYSDEtlzhqJuqOpHj4wjODIhYgS9dX87emgIKWXZhfUcdJ0v7BrBG9MZ8LVF\n7vN2lQiCiD53PVrzDiy9hk0veRX0k1tRl21EkB3oqZlYK+eTXvUcJ7qN7xIOC/Rv3UfpA9cgyBfe\nfy/FFsl2SbxvloNtHUGGw+buh7+2BLguy076Oei/9IxcxJZ6xB6jq0VsODZJqDtzcRbH/1w9Yedp\nisZY+yhL75nLfUUO6kcU6kcNG1DV4cW2IAFFZ02mDVEUyM7OpqGhAUUxjotNXMDlFekG0ArKkPfs\nQPAZXSVCdxvKqg0gCHhsIr+P0RxtGlP4RJnrHakP9l6yV2dw+TGzPmYwXcwkLqaAK5m4aOob4Dt1\ndpNx9rC/l8g2I3BvddvY8KNbEPRhQscfMVUTWfLvP2vl0eXAU80B/uuMCppfrvFQkmjh8ECYvz3D\nUH1otpPPzo/nUqD2vkKk7UnTmLXk08ieBeD3RjsT/IZB5rPY+eu8tShSNFmiW8Lcd/cDpCRd/U6F\ni3kAy29sxvbc70xjkdUbiNz5sbdN1+LZlgCf32WuxC+Il3hmQwrxZ1TBCKKIZ+5yxsdKCLQfxOYK\nmd6PT+glJ9SHO30ebePDSLq5kkdEJmxPpKYklY5RO+kjXpxyxHSMXVaYrQ8zq0nAOpwIniAjlvMl\nMJ4gcrCR6sfNnULLPr+S8rvnTvt+XE5cyU26MDWZTyzIItl/kuODCuOYueIjgszhgIffVfUgjLVw\nTX427pwE5nxgHpmLshhqHMLXe0YnhQ79NX1UPXaY0bZRkkpScCQ5EePykbNuQUqcixYaRg+aKZYA\nUINoI0eJdDyHHuxDdGQhWA2KgqIEmQ+VOPFHdA4NmH/zgKrzQmuQA/1hlqVZJ6hjUh0S9xc7KU+0\ncKB/ctKj06/y23o/3X6Va9KsOC0W5OTFiO6yKHWUFpNo1cKofW+gB/uQPJUG7UR8IsrqjeiiiFRf\nhRDjoHgUPx/ueZNr3WEyFy0CeeoBG6fdSfns+cyfN5+RYB/DI0MI+uR1LCIT9qkcrT5CY+cJUpJS\niHNNo5rL7kRZuR4CPqQmc8JGaqlDOn4Adf414Di7AOjVQIpd4oPFTprHVJPYOUQFE/f0hbkp24Zr\nCqKbFwNniou81bNoeLEeNRSTvDjURXg8TN6a/Hds8uK9ZujP8chsbguaqh+bxhTuL3a+Y3+Ddxtm\nEhczOI2L8WceOTTEgM3Yg/424SUOhoqoUsv5/vLE8/PSnwOvHXmW/tGuiddLZl9PcXa0Q3rX999k\nsNYoHChY3EfptVEbQ864AUvmuknni4py//gMUe57kD1T00KbKnRdI3TsuyaNQcmzkrhn9yCEgpOO\n19KzCT38VYihCDr62GGatxk89o4kB+t+sBFxCsHiM5GfUUr/aBf9I8a97NfHyZM1QjG6iSISTi2Z\ngDhIWAhS13KQOEcqWSk5ZzvtlPeZ1nGFO18eIKbODk/Ey7aj3yUtMo6WlEr4Q58DUWSwfoC3vvO6\n6fPrvr8RV/pkqjFnvEqkpZpjQjpaTOJpZ3AOXs3OGnsNggCr7LWkS6O8GpiHjsihgQh7+8JsyLHh\nuEAg12axU563iBOtBwlGjEBwRPChoZCTNJuFCxcax//+Z+T5jpLk8NIwmI4eQwHa15jIWK+TvMr+\n6E+tKxAZR7B6QDXWheY9ia76kZIWn3d/290b5hcnDHvcJQv8YHniBYtlBFFCW3ILwtEXkUaN68qD\nYSK929EXbECQ7OhJaSSumAtvbqdjyLDLx0ZF2P0auXcuB+n89u2l2iIem8jdhQ5294bo8hv7vzei\n82STnwXJlgnq2DOhFs+5oFC3xWHB7nHQvN34rw03DZNckkxGWSrvL3CgalGNjVjs7QtTdUq022Wz\nkpycTENDw8T7sUkLgNHRUYqLi7HZpt95dlZIElpKBpa9r0wMiQM9qDmF6Nn55LgknmzyMxwyOlWz\nXBJLLkFX9ErhvWavzuDyYmZ9zGC6mElcTAFXMnHxrW2HORw0KmNSdC+3Pn8Cf0wAcf5DCyhaV0y4\n4Rdo4/UT44I1KVp5JF5+bkNfROOBHYOMxwQGN+Ta+coCN2FV597tg6ZAQ5ZT5A83JZ+Xm/JC0MMj\nUdFxzQh+i4nzsZb8HwRBwPar/0CuMwvfvVB+LYOu6P0T7BEe+MBHcMddmL/1SmC6D2CxrRH7z75h\noqVRs/IJfu7fQH57qIwO9Yd5YMeQiXs0wSrw3MYUcs9TVefMzMZeeCtd+1pwuTpNORebM0wS1aQH\n0vEm2Rn3qYhnVJyLup3RtGTq5+Yw1BAhW/NhEc36F/FymLLIIMknLTjDHsQ4/zkSGBJ1ln7SF7eT\n5fYy3JhI1pJc1v3HRoQrKAA8FVyNTXpxXiafnOvB13OcOp/dpJ0D4BNsvDIcz9NHG8mWRylJTyUx\n38O8+ytInZPGYP0ggUG/+aQ6DNT0U/XYEUZaRkienRxNYDgysWTeiJSyHF0NnOqUOkNYXVejQt6d\nz6ON1SFYExHsGdH/tBTtpLgpx86B/rCJdg6geVzlsXo/NgkWpVgRBQFBECjzWPhIiRNJEDg4EDaJ\n7UGUK/+39T5cskBlsgXZlY2ccQO6rxk9YE6yaN5GlN43Tgl3nxIYF0W08gWolcsYPnoEV9ComhOA\nnO465L2voOYVo6dMr0pSlmSKZpWyqHIJmhygb6gblLMJeYuEfCp1tXVUNxxEshg6GBeEKKJWLENL\ny4rqXsTQV4jDA1h2vYyWW4yenj2tuV9O2CSBO/Kjgoivd4WI/eVbvSpPNvlZmGK9qGreqcCVFkfe\ntbM4udncedFzuJvQWIhZ170zkxfvNUNfEAQK4iX+3Gh03LV51Shv8xQ4y2dwYcwkLmZwGtP1Z3yj\nPr5xUjQFj7/l+RO/9d5Abuos7p89/QR4RAnz7O5focXYvhuX3k+CK4nAcIAdZ4pyP1CPO+2UKHf5\nlxBtk2mOrpYot9r3Jkrn8zEjAvG+NVj37zrr8cFPfBk9p8D4fERly2dfJDxuBEsXf2opedfmX9R8\nBEGgOLuCrSeOYNEMO6VPH6VU0vBqxr0SkXBoyQTEISJCiMb2KkTszMqcXC0+lX0moOjc9fIgrTEd\nsIKu8cTxH7N0PKpPEr75g2jl0eD/rkfeNFH3ZC7O4prPTtYg1DSN7du3kxAaJo8RqoVM0/o7GC6m\nVUllneMokqBTYWtlrrWNrYEFKMi0elWebQ1wXeaFRbvtVidluQs43rqfcMQI9IdFL+6EeCqKr4nS\nMPW0Y/vdTxCAtLhxctzD1I7NQotxloY74+hrTGDWon4ky6lxNQiS3UR9rI3VAhqSZ8E55/XTaq+p\noOeOfAd3FU5tLQuSBWXpOqTdzyPG2DbWzgDB0BsIZTdGkxeJyWSvLaPn+T2M+o1Cp85uCxknNpO4\nbvl5NRYvhy1yWv+s7ozuh9P0XxlO6eyUrFMU6k6dk0bbm614u42Cx469Hcy5dx5Wh4U1WTaK3DIv\ndwRNfsTJMYWtbUFuyrGTm5KIoij09hoaJ2dCEARyc3Mv8i5Mhp6Ri3iyBrHPSEhKTSeIrL0dQZbx\nKTqvdxuxkt6AxsfL3r5ipHPhvWavzuDyYmZ9zGC6uBr+zFXvXSstLU0tLS39WWlpaUdpaWmktLS0\nv7S09K+lpaWLrvZcLoQdw+Yg+0qlh/4q8+ZY+eEFaL5WlO5tpnFLwUMmCpbLiR9Xe00VEBYRvrs0\nOtcfVo1TM2yukv3RSg8J5+KknCJCDb8wtdUiWrCVfQ5BEJF3b8eyy/z9D2WVTehaSC6VD933cVzO\nixMJvOoI+LH//FtR4a1T0K12gn/3LbC9Pfze7V6F+3cMmjhHZQEeW5tMSeKFEykWp5PCh/4Fr+vL\neIfMBpQoQlb2bpYHX+PG2VnolhH0MwLcIjKhQAJHr1vAkzetZ18wG1WbHDic7Rjijt4TrHlN48YO\nDwX+yKRjAJrdNg6sDGH9yhGK7zmGpobOetx7ETarhe/dtooDd6fyPmczFn0y73K9nsaD++K45fHd\nHO/sRhAEijbM5sEtH2HjT289q0ikrunU/rWGx278FS9teoHB+mhVpBRfjH3uV3As/xVyzvvhHNR1\n6uB+gke+RmDf/yHS/TL6Ka2eJalWXr89jW8scmM7w8/0Kzr/tH+Mm17o51C/8X9xWUS+vsjN3jvT\nuSVv8nNwNKzz5b2jXPtsHzs6g4i2JGyV/4al6BNwRjJHD3YTPPgPhJt+h64Zz7ahrBIWLPo3fpK9\ncdL5xb4unN/7HNbHfwqhwKT3LwRRFLlmwbV88kOf4bp1q7AlgI426TgBkci4yJ43DvLL3/ycV3a9\nRESZLJJ+Niir1hP4xs/RUs0c38L4KPb//DLWp38N2uS1cbUgCAKfmRvH8zenkOEw7x/dfo33bRng\nP4+Oo51R4Xa5kDYvnbv+cC/2RPP6OfKrQ7z+zVcmVdbN4MpgbbadtVnmasVv7h9F1Wbu/wxm8Hbi\n8K5alJjiqBxpgETJT3V4FtekXVyF78muY6Y9zO30kJ0SDe7XPl1jolCKT/WTVR4NboiehUjxhWc9\np9L1kum1lLwc0XZ5gyG6rhJuNndIS2lrsL72ylmPV8oXoi5abRpreLEebww1p2STqfjwwjM/Oi38\npkHhT5EH8eoxnZmCwD69gyzZLBYuYyNNmY+sO4gIYXYc+Qtbdj817Wvqus7ndw2buPYBvt38BBuH\nogVmumxBuf42AHy9Xmr/WmM6duEnFnM21NXVTQggl+iDPKzuI04x21hP+1bw8b6/w69F1+B651Ge\nSP8PUsVox03LuMq6F/p5qe3CtlmSO50PXvtZRN3s59T3HWDH4afRdR3r5j+bum/zFiRyzxP340w1\nJxO6apJ58d+X4BuO2c/U4CSbM9LyR8ItfzrrfFRN59lW87zvnKbukxCfTPDL/4VmN1/XvaOLyJbP\noYej90nIK2DDHz5OvMNsU774iofRf/gKQoz24pWCUxb57dokPlVu9hsVHT67c4RvHRg9qw0YufV+\nk20r6Bq2x34CmmFHC6LADd9bhxjTvRsY8PPGv7w68foDRU5evDmV9DNs0JoRhRue72d3b4glS5aQ\nmpp6zu9QV1dHKHQZfUxBIPTg36HHcDCLA71YXvozAB8schJbh1c9FOHo4NT8ghnMYAYzmMG5cVU7\nLkpLS9OAQ8Aq4DfAL4EW4H7gk48++ujmTZs29UznnFeq42LL8Tp+1WkkLgRd52+qmgnXGYJvs64v\nYMHHFhGq/RG6v8M41pmDrezzl527FaKtvw+/Ya66/7u5cdxd6OTYUIS/eWPYFF67r8jB5ysujSJK\nGdhLpOnXpjFLwYeRU1ci9Hfj+NHXEBTDQB5wJvBi2bXogojVrfPQBz6O1XKZ2jQvElPOHOs6tv/3\n78h1R03DoU982cSDezUxHtF4/9YBmsfNQcwfr0qctlBqXG4BlpyNdO+rJ85tTsLZXCHi1IOk+5Kw\n5GXTOzyKiNlZkLDg1+y0zE6kOz4b2vykWcwURoIAGRYvhQN9iE3xZKZkousjZ+3A8FokatUxqg4+\ng1i/k9RZC5Ftb09lytWuLoiz27hrXh4bkr3UtHXQpcWbKcgEgXYtgcdPRjhSd4xl2fEkOB2klKVS\n8dACPIUehhoGTSKZpzFYN0DV40cYahjEU5yEM8WFYIlDTl6CJed9CJYENF8HqJOFvImMxOhghBBd\neUiyg5UZNu7Md1AzPFnHoieg8Vi9n/6gxrI0K3Y5+j0SbSJ3FzpZkmrl0ECEoZA5+D8Q1PhLY4D9\n/WHmJ1vJyJiPlLIUdeSYOVGKjjZSjTp0CClxPoLFzY+rx9narfByciVvJZRy3WgtCYq5G0VqOoG8\n5xW03CL01Cl2RJyB5MRUKucuJjc/m5auOiIhdZKQN4CgSQz3j3Ho6AHaek+SlpqJ037+Kjw9IYnI\nqvWI7U2IvYawpABIdUcRG45F9XTepoQpQG6czAcKnRweDNMe87vrwBvdIQ70h7kx23ZFOHxdaa6o\n5sUZnRe9R3sIDAbIX1vwjuq8eK9WKJV7ZH5bZ/y3+oMas+IlKs5WbTmDaWGm42IGpzFdf+aFLUfZ\nYTX0LZbb61hpr+U/R+/gCxXx56RyOR/erHqBnmGDDndB0WpKcxeg6zrb/mHLOUW5raV/d1ah7asl\nyq30vILavSVmRMQl3o5t+4uT5yQIhDZ921T9res6277wEv5+wyaad/98Sm4ru+g51Y1E+OirQwR0\nO63MpoQqZOHUPiYIdOijlEsi45rha4rIOLVUguIIihCkc+AkoyMjlBUYHQAX2md+ecLHj6vNOnh3\nhE7y0+O/mCBQUlasQ1m1HoAD/7WXjj2GJoE7N4G137lpUhe0qqps376dSMTw91aWF3CPXWX7oIpP\nNooMmpV0dgbLudl5CIcYIVMe4X2u/bwVLGdASyCswdPNAWySwPI063n38fbWLgbavPjFAXTBsCFb\ne+tQA+OUP/s0QkxAPHz/3+JYXEHxxtm0vNZMcMTo1giM2mjen0FW+RDOhNPBZA0wX18bPoIgu5AS\nyk3jb/WE+Z9aY424LQI/Wjk1TTUT4j2oRXOQd29DOOXPCzpYW0bxxR1AyrkOQbJjSfGQOT+ZE8/W\noeuntCJ1kcY2O5Wtf0BcfA3ETaYrvZy2iChEu6/jrSKvdpoTAHv6wtSORNiY68ASew8kGS0t64JC\n3c4UF+g6HbuN9TdQ209aRfqE5mGWS+KuAic7e0L0xrBJBNSoaHemS+bm+fnU19ejaZMLjDRNw2az\nkZExvQ7s8yI+EcE3htRoUL5KjTUoK9cRn+hmf1+Yphif3SpG7+E7Ce9Ve3UGlwcz62MG08V7jirq\n0Ucf/RGwFvhgXV3dTzZt2nR006ZNrzz66KM1wIeApE2bNj0xnXNeqcTFP79SR4NicJDO1vqZ+5vD\nphbp6791A/GeTiKN5qC+rexzSHGzrsS0+OzOYY7HdFSkOUR+szYJSYAPbh80dWKkOUT+fFMKDvkS\nKKIUP6Gj/wyqEbQQ44qwlX8RQdNw/PjrpoCbIog8Pe9GfDYnzmSJB+7+GPIFuDivBqb6AJZfeQ7b\n5j+axiLX3Urkjg9fsbmdD6qm85FXh9jdZ66c+uy8uItOSMk2O57KdfS3JKKNVmGxG+tJECDO3Y17\n5CSzsq6jS+kjHBYnBWpF3c6Iw0FXZSbtQ3E4hwIkWswcwqKgkyOPM6uzB605gbguGzaPnxHb5PUQ\nlEXq1QAHqragVL1MWlYJ1riru1m+XZt0RoKbD1XmUCa0U90zzjDmxI0qiDQoHn5zwkd903FW5SXj\ntNtIKU9l/kOVJBUlMdQwSGBocgJjqH6Q6t8dZbB+AE9REq5UF4JoRUqYg5xzO6IrHz3Uhx46S+WW\nGkQbqTLpYCTHJ3F/sZNsl8Su3hChMxoCDg9EeLzBT6pDYt4p8W6AQrfMR0tdxFsE9veFCRHejP0A\nACAASURBVJ/hWzSPq/y6zke3T2VJdgYJeRvQVT/aWJ3pOD00gNK1lXESefhQ0sT1mx1ppGx8H8vi\nFaTmWtNnBL8Xy1tbo+LXpRXnba8/H1zOeJxWN5lZmejWEKOjI2fVwRCQCIyFqampoabpMA6Xg+TE\nc1eDYbWhLL8RXZaRao8ixHQ7if3dyLu3oxaWo6ekn/scVxhxFpH7ipyous7uMziHm8dVnmjysyjF\nel7KuouFK9VF/vUFUdqoGLLu3qoefP1+CtYWvmOSF+9VQz/DKdE0rphsj6MDET5e5jIHK2Ywbcwk\nLmZwGtP1Z373Wh1HXUZC/nbXfgTgWf9yHlmeOG16WFVTeHb3r1FUw95cv/gDeOJTzyvKLTjzsM7+\nm7M+h5WuLVdclFvXFELHvwOKEayXM27Ete2Yic5lYk5rbkFZe7tprH1nGwdjvh8CbPzpbTg8F1c0\nENF07t02SIcvauwEiWNELmSOWIV2OokjCHTqo8yRhDOSFxIuLZWgMIIihugZaaW3t4t5xUuB8+8z\nO3tCPPy6uYCtxKXzwutfwR5DiRT6xJfQPSmEfWG2fG6zSU9qxRdXkblocmLpxIkTNDU1TbyWJImb\nbrqJ4jmzuF4Z5NW2MUYshv3arSaxPVDBescR4sUgbjHAXa7dnIjk0KxEg8ivd4doGFW4MduG9Rzr\ndffu3QR9EexaIj6xn4lIP9A62ExE0CgZDiIAWkoGoY9+AUQRe4KdkveV0bmnHV+vsTYiAZnGPZkk\n542TkH7urg916CCCNQnJPXti7CfVXg4PGv+P9xc4uLPg4ijP9NQstMRkLEd2T4yJCljahvG6DyBn\nXosgOYjLTyUu2UrTK0aHTli10NljZUHLY+jzFpmScHBlbJFr0qyUeyxsaQ+YiifrRhRe6wpyc57d\npH02ZaHuRVk0bW/EP2DEGTr3dDD33nnIp7pS3FaRewsdNI4p1MVor2k6vNQexKtbuL00mbbWlrPO\nfWRkhLlz515WW1EtmoPljc0I4WgyR1BVxN4OlOU3YpEEnm0xfOKmcYVPl8dNP8F1BfFetVdncHkw\nsz5mMF28FxMXi4Fu4DubNm2KHW8Bvg7ImzZtenQ657wSiQtVVfnqgQB+wdhYb+tqJnG/0QySkJ/I\nmn9eS7jme+ghQ6hOdJdjLf7kFQmkvNEd4lsHx0xjjyxPYGmajZ9We/lTo9kA+7/XeliQcmkVkeGT\n/w9t+HDMiIit4l8Q7alYnn8cy86tpuNfL1xMc3IOCRl27rv9w0ji9AXtrgSm8gAWW+qjFFExFRtq\nbhHBTd++oBDalcLX9o2a+MUBbs2z89NViZe8xtwFJYhpN9FzoJ64hD7Te1ZHBBcHSBqykb/0Ohq7\nGxF1c7WIgIgStjKY6mJ0VTmN9QpJ/gCuMwS8JVEnTx6jODJGpC0JV5ODxGQfgzZpksh5RBJpFhT2\n1b2O78DzpLhTcSTnXdL3nCre7k26LCONT1akYh2po2ZExC+Y/7sRQeJ4yMOvjw/T2X6C1QXpWC2W\naAfGhxaQVJLMcOPQZA0MYKhhkOrHjzJwoh9PYRKuNBeCICLGzULO3IiUvBhd8Z3qHDu3DoY6UoNg\niWNBziweKI6j0zdZwNmv6LzYFuTN7hCLUqwTPMaSKLAs3cb9s50MBlWOnUFppwNHBiP8utaHLsgs\nLV2FNbEMbfiISUARXeVnzam86jcqIROtAr+4IR150QrUskqkumoE/7jp/FJLHfLOl9HSc9AzL47v\ndmhoCFmysHzJKhYuWIwi+ekf7jmHDoaAEoTWpnYOH9+LPzJOVlouoniWgI0goJVWopVWRHUvYoRE\nhWCA/8/eecfHUd75//3MzBaterd6sYpt2XKvYGNjYwwGTAv9IEDqJU75JSHhAncpl9ylkMsRcpfk\nUiCkQICEDgZX3Hu3umT1Xla7q60z8/tDWKPxymDZsk3R5/XaP+bZaTv7zMy3fj7K9nVgsaIVlITd\nMxcLkhBckW5nTrKVDc1+E22dO6jzTM0AFkkw/32qJ88FjqRIcpaFJy86jrbjbHCSv2LiJdfIgUv/\nDLmQKE2w8PtyzxDXtCuoE20RLEi9tN2UH3aMJy7GcQqj9Wf+e08bTREJQ8sPxqzneCCLbvtUvjh1\n9IUtda1l7KvcPLQcYYtk9fx/QhISO3+yja7yzqHvhotyW/PuQY4tDtvfoCj3f5lFubNuQYmfPupz\ney+EWt9CbVtvDAiZiLh7sL/wx/Bzskfg+9K/w2ndkJseWY+z3hD1nnh1IdPvPbPOwfvhR4dcvFBn\ntt1/eFkuVxcWcrRuj0HHKqBZ72eqBP36sC5/JBx6En7RT0jy0elqoa7mKLOmXHHG90yzR+XGdV24\nh0WVoy2CNwJvkFV7YGhMLSghuOY+AI786RC166qHvrPH2Vn5X9cgn9YhHQqFWL9+PaGQ8f4tKSkh\nP3+QHiw1M4lrooJsK2uiw2b8jm4thtcGZrMs4hiJshurULnBsQeXFsGBQD4gKOsL8UaDj2XpdhLs\nZvvI7Xaze/dg4kvGil2PI2h1og6jDT0Za8enSBT3+Aje/MCgnfQuLA4LxWsm0VXeSV9d79C4FpKo\n3TMBe3SA5DyzrTgcavcepIg0pKh8QprO2u19DAy7vo/OjqEg9tx1D/XcYnS/B6XaoOqSfaC09eGO\n2oucehlCcZAyPYNAn4e2Q0anvMsfgcsJU6r/glo41aTpdqFskUlxFpal23mz0Ydn2HVoHdB48aSX\nZelm7ZKRhLqFy4k667KhdSRZInX6BI4/e3TI/Qh6Anh7veRfZXRnWGXBmtwIdGB7m7mA5kBXkBOB\nSFYmBenv6+V0BINB4uLiSEhICPvunGG1oTuiUQ4ZGjpSexNaei65kwv5Xbkb37s5Sp8KuTEfrC7V\nj7K9Oo7zx/j8GMdo8ZFLXKxdu3bz2rVrXxietAB44okn4oGHgLq1a9f+32j2eSESF2+eqOTpFsPo\nl3WNm5/bB/1Gi+T8Ly0kJauOUOPfTdvaSr6FFDH2lbEhTefujd0mgdxZSRZ+siCOKmeIB7b0mMSr\nbsyN4Jszw9tHRwPVeYJAxS9MY5bsm7GkXYVUfRzbb35oaq6ti09nc/5sknNiuOXauz8wVbBwFg/g\nATcRP/oakttwsHR7BN5vPgaxY2jojAK/LXPzw4Nmg3p6ooVnViRik8emWs3icBA/YyXdjUkEu49g\njTAnHaJiO1Ha95AbPR8m2OjsCaePkrDgdgs6s6LQVy6l+kAPycEB7LI5MG2RNPKUPiZq/XiaE5k1\nfzGOvnraJR3ttLmiSoImWWd3wz56dv2dBFkQlWZu2R5rfBBe0pIksSgvg/snRdHdfIJqr4Pgafy7\nfmHhgDeOJ4904GyvYlFeGrIsk1iUxLS7p5M4KZne2h5T9dIp9Nb0cPTPh2k/3Ep0egwxGTEIIZDs\nySipS1AmLB8MonvqTYKFp6D7WlHbNxNq20iUonNTSRHzJkSxryNAb8Cc8Gj0qDxV4cEV1JmbYsX2\nbjVdtEXiupwIVmXZqe4PhdFOBbTBJO0z1QOkJGRROnkVurdliI6vX4vgC12fw6cbDsDXSqO5MmMw\nsaYnpxG84lrw+ZDqyk3PKOEbwLJrA6KlHq24FOyjq6YcPkckIZGZlsOs0rnEJ0fT3tuI3xsakUYK\nVaarrZcDR/bQ2l1PWmoGNmt427ienEZo4VXIdRVI3YaDKnQd5fh+pLpyQlPngu3StZznxyjcmu/g\nYFeAJo+ZOmpLq589HQGWpduIsowtdZQjKZLcZflUvVFJaJh2Tld5J90VneSvLEC6AHRVo8EH4Rly\noRBnk3AGdPYM07I50B3g7kKHqcpyHKPDeOJiHKcwGn9GU1UeOR7CLxv22MNxL/CsZzEFE3JZnTP6\nToEdx9+kuatuaHla3nxKcubg6/Oy/iGzKPeCU6LcsgPblK8jpPDgrdZfRqj+wopy61oQ/7EfQMig\n71HSVxG5qRy5qTZs/cCNn0SdvsA01lnWybYfbDGNXfWTVUSnn1tX8/7OAP+8tddUAnJ9jp1HZ8WQ\nGDuBhJgUTtTvM74U0Ky7mSZUnHrcsOFTyQsXquSjL9BD2fEd5KRMR5Il03vGr+p84u0uqvvN9tQf\nFjlY9sz3EeowceXbP4eWmY8W0gbFyIf5trM+PYecK/I4HceOHePkyZNDy4qisHz5ciwW43+PS47l\nhswI9u4vNyXUXLqDFz3zmW2rIVPpRhKwLOIYKbKTzd4SNCS6fBrPVA9QFKuYdPvKy8tpbja6+tNT\nsrj2yps5fnKvqTOoPtaGx2En97ZvIJTTKG4tMoXXFeN3+mg/NIyNWhc0Hkkm6JPJmNJzxpoQtXMX\nUmQ22/pT+f0wysQYq+C/FsYjn2fRhDZlDqKhCnlYZ4Li0pH6nAzYdyMnL0RYoshanEf7wRacDYaf\n2uGJxaZ5yS1/Hi0zHz1tsNDrQtoi6ZEya3Ij2Nzip2tYTKI/oPNczQDTEy0GTV1kNGiaSahbrq9C\nLZqKnmJ09USlRhHyq7TsNf7rzmMdpM1JJy5n2D0hBIvTbBTFKrzV5Dd1fjR6VPaHErlcaUcNhmtK\nuN1uJk2aNKaxCS27ALnsAFK3UfwnVR5FX7qaTtXC3mH2Ur0rxAPFkR+Y2MhH2V4dx/ljfH6MY7S4\nGP6M+CAIXBYXFz8CfB/4SkVFxX+PZlun0zniD6iqqjrn83l0dzNvBo3W0GJXK3c9tnloWbbLXPnX\nFWS4f4ISMl5WXvs0epM/c87HfS8816rw4xpzpv53pT5KojU+fcTGUZdR4RCr6Dw7y8t5Jfb1IMlt\nP8YSMoy8kJJEZ+rDiKBK/v88QrTH6P4YsNh4euZq5MxYZk9ZdB4HvgTQdfJe+BVx5QdMw3U3fYa+\nkrmX5JR29kp89bgNdVjYNcWq8eR0P8m2C3PPqgMe9L1/Iiv3GCN18Xc0pOLM+ASHOsrwD0QhEd6F\noqOjKX0UJmYQ+ewGFuhNRFlGFiVzBWzsljIQN8ynt28X++UQvvcIPBZ6ApSkTiZ66q0I+dwrnD5M\n6PZ4+cXxbtb78/CLkX9zmt7HPclt3FKYifxuQkvXdNp3tlH9dAX91c4RtwOIL0kg/85CUualmirW\nhebF4dlJpGszihpevXQKmrDidcylN3IJv2vP5slGCwE93ChPsmp8KTfIqmTV5BzqOrzTI/N4nYUG\n38j//eQola/kBrhc2U5M3995vPcqfuK8aej7WMnD5ol/REu6CU02J2sjG6rIfvVJ7D0dp++WkN1B\n84rb6Jm+aMy6GDw+FyeqD9Hf7UXWz/wA1lCxRGpMzC0mPXmEjiJNJW3zS0zY8UbYV8GoWE6ueRB3\n3oVN5L0fQjr8qt7CU03h8zLeovNvhX4uSwjnGz5fuOtd7H5oB/5uMzVd4qxkZn93HkrEpacm/KjC\nGYSb9kXgUo37ZXVKiO8UjQtPvh8KCwtHHI+Njf1gRDHGcclxJn9mJFTsq2b+USM5ESW8lGWtZW7z\nT3hoXh4PTBqdVpima/z0ua/iGjC6Du5e/hUmZc3k4O/28873DMHc6OQBbvvPHQgJlMw12Io+P+I+\n/Sd+SmhYJ4SctAh76b+O6rzeD8GmVwlUDmvUFxYcRf9J1CNrTd3TAFpiKgP/+UcTTQ3Auq++Tvnf\njYr3tNnp3Pb3u87pfAZCGkte6qS630zpu/PGFBLthp+288RbvL7nz6ZtZc3C5VoKdbo5caCj0SmX\n4ZMGbbF4EcPymQ8yvdToCPny9l6eqjQXq3xjejTf6VyH7S+/HBrT4hIZeOxZUBQqXi7nzbWvGse3\nydy//TNEJpvnTjAY5JlnnsHnM965paWlzJ8/f8Rr4O7z8OD/7WBd0hTTuIUQjyX+gVuidg2NbfVO\n5rNdn8epGcf8WmkU/zIzBlkSvPjii3R2Gp0+CxYsYNq0abS0V/PkK9/DexoV8rziK1m9YLBLaCQc\n+sMBtnx3Y1hjcc6sDpZ95hiK7Qw2i5D5s7yWh2qmDQ3dVeDgfxbHj7z+aOH3EvGDLyHXm2MXnqky\nnkXp2Gf+CMmRjt/p45k1fzZ1j4DO7dP2MjGpC/+9XyZ05ZqhGMiZ3jtjAWdA4/5NPWxsMeteyAL+\nc34sn54cNTgQDOD4108jtRhUV1rSBAZ+8HtT51PIF+Kvq/9IT7WhJRqdGcM9b30Sa2S4PX2kO8Dd\nG3tM2msAuaKfL6g7QVPDtlm9ejXp6WOrryNa6nE88qApORhcdj0Vt3yZWS+0ow2bay+vSmJJ2gej\nS/VizJFxfHgxPj/GMVpcDH/monZcjITi4uJrgF8Bh4DPr127NvxN8x44U4XSqUzhueCxOgeeYTRR\nS/eXk1pj7C9rVQ4TZ5/EMbBnaExH0Jv0IJp8fkLYI8EZhIfKbPg1Yz5ckxzijowQz7YovNRuDhw9\nUhCgNOb8gtvR/W8S4T1kGutJfADVkkrUX/+LtM5W03evTrqcQEEGsyYvPK/jXgqk7FxHyt6NprHO\n2UvpWLTqkpxPtUfw5eN2/MMCwBGSzi+n+sl2XLhEo2SxIuXOoastA6mvCnukORgVGeshTt1LVE8C\n8cXTaO1rQGh2xLDkikAgaRF0e7x0T4xi/6Zk/JGCCXhQJLNDYJNV8qVeko9X0d0Qw8T5q8hyN9MT\n8uEfoaOkxypTHuiltXozUS1HiEwsQFjHrnLvgwiH1cLSjBhWxvfR0d1OkxqLdppD5hZ2dgwksaGp\nn+hQBwXxg10UUdnRZK3OIbYoDk+zG3+3P2z/vk4vrRubadvaguJQiMqOHkxgCAtBWx6eqCUELWnI\nqhNZ7QvbXqBiDTYS49nGQnslN6RZqAqm0ugz0wwMqIJN3Qp7nRLFkRqnGOyEgFyHzs0TQsRZdE64\nJNNzDqArIPFqh4UTwWySE+fwveap+HXjmbc25jVWWDYT4dmDqiQRshjt8sHYRLpnLEboGpFNtWb9\niFCQuMpDRDVW486ciBpx/qLwVsVGRkoOOdm5+PR+XJ4+hBYeSBdI6EGZ7s5eapvK8QZdJMSlGM62\nkHDnTWYgLZeYmmNIIaOyUA74STi6C6GpuLMLGTHLeBEgCZgXp1ESpbKzVzb9bz5N8GangicEs2M1\nRkm1/p6wxtmYcFka7TvbCLmN6+JtHaDnSDcTFqcjWz8YFIUfNdhlUCTY1Wdc3yqPxNxYlTT7pS+C\n+SDjTFVr4x0X4ziF0XRcvP3GAV4ThnbSDFsdyx1HeMy5hm/PiiHVMbpnYFNXLTtPGNSvVsXGDQs/\niSQk1n/jTZOGVuk19aQVD9oDtinfQFjCu7svhii3rgYGtS2GafApGatx7KhDqT4etr7/k/8PLccc\nhHG1utjwzbfQh0UXl373ShIKzq3K9F92O1l/moDx75cmMO20SrKs5IlomkZ9u6HjpQuNJuFnuu6n\nDyMgLhA49CRU4ScoPPjwU996lMzUycRFx/NUhYf/PGTuzl6ZaeO/F8YQ8ZsfIjzGd4Fr70SbMnNQ\njPxrb+LpMDpVSm6fRvEN4QURhw8fprHR6AawWCysWLECRRm5SMBqt3LjnCwaNuzkeKRhj2lIvOGd\njQAW2CoQAnIsXVzjOMA232R6tEH/eWd7gH2dARbEBjl6YK9p30uWLMFqtRJ/YDdT17/N4WQHwWH+\nQnN3HW6vk6LM6SNWtk+YmUZKSQq1b1ejhQyfxNkaSdPxZLJKO7FGjBSG0Jmi7qEmmEZlMAOAf50d\nw8SYMSqUUCyosy5H2b/V9H9ZO3RUeQCfvh05cS6W6ERyFudS9vcTqIFT5ymo7k6hOLGNmBPvQDBA\n54QcEOKCVkvbZcEt+RF0+lQODdP90IG3m/x0+jSuzLAhKwpqbhHK1jeGvEUx4Aa/D7XUSH5JikTK\ntFSO/+3o0Fig30/QHSB3WX7Y8VMdMrdPjOBgV8DUud2HjV7dzlS9PWwbn89HQUFB2Ph5IToOoarI\nFYeHhuSTlUTNnMNRkUCl00ho9Pk1bs3/YPit4xX143gvjM+PcYwWH/mOi+Li4nuB3wIngSsqKipa\n33uLcIymQuls8NaJSm7bbQSwJF3jGz/+Bw6vEcS9Z90dRHR9Az1gVDwoaauwTf7KWJ7KEL6xq4//\nKzOMy0hFsO+WVHwhnUUvdpi4xldl2fnr8oTzakXU3Cfx7v2iiSpGSbsa2+SvcvT3P2LhFnMV8MG0\nIk6uvoGrFl93zse80DhT5lg+cQD7j7+O0IfpWuQU4n3kibCqrIuBDq/K8lc7TRUkAvjL8gSuyT43\nkcBzQdDrpfEf/0VS4lZkS/gt5u6JRE16gCYH7DtSgUUfOWEXwo/U14P1+QFm5TYz19KCVR45N9kf\nsLFHZJD65QfobXid7d0n6bCfubPCHtKYrVuYu+ReEouXntPvHI4PQ3XBwYYmvv1OI7sCmWEJjFOY\nItr49mwHq6cZDqiu65zcVMeex3fSdvDMj9nozBhmf3oOU26fhiXCfO1VVxWhxpcJdWwGLTjyDhgU\n36x0rOKfK+dxwhM+ZyUB9xdH8sisGOJt5t/Q59f46WEXvy5zExyh8E0SmKqXYiUPuzK+SYxkBFXk\nlCXYiv4ZYY0zb1tfhe13P0Gurwzbr26xElhzL8FrbgflzHPuXOZIWc1R9u7bha9fG5lG6l1oIkhy\nRhxLFqwgKT5laFx0t2P/3+8jVx0L20YtnIrv84+iJ1464W4Y5Nb+zDs9YbzD8K42wtL48+KBHgnu\nNhf/uPs5U3UeQPKUFG58+hYcSeefiBotPgzPkPNFUNNZ8lIHZcO0babEKWxZkzIu1H0OGO+4GMcp\njMaf+defvMLjSbOGlu+P3sAy+1E+1/tVGu5OG7UI7Lp9z7Lt2OtDyyW5c7lj6Rdp3tvE87c+MzQu\nZI07H9uGIzaAnDAb+4wfjLi/YONLBKr+19jOnkLEwj8gxNgllYONLxKo+pUxIFmJKP0F0d/6rEkn\nCgZ1HbyPPBHWXbn1B5s58BuDtikuL557Nz5wTppJG5t93PxWt2nsviIH/33ZyFX5uq7zys6n2Fu5\nyTQu61YuVxOp0yeGbdMn1dMvNYIAG3aKJ93FFyoKCAyzl/KiZTZdn0Ji2W4i/uth43iKhYGfPYse\nm0Djjgb+fudwGi+4d8MDxE80U+N6vV6effZZgkHD5ps5cyZz5sx53+uhqSrf+9nr/HzYPD2FWyJ3\n8JPEp7CJwfeIW7Pxpa5Psc5rrJtqVbl9YBdZDHYNp6amcsMNN4Cm4fj2/Ugt9bREWvjfGam4TytW\nmJ6/iJsufxBZGjmx0H60jVce+IcpcQPgiA+x4gsHSJnYP+J2qi5Y2/VptoQWUHVn2pi/80R7ExHf\n/yKSyygU0gHnFRb8hQlEzPwPpKh86t85yUv3vWBKuMXbPXxy1jYc1iA9JfNouP6TFEyeMsJRxha6\nrvPL424e3dt/eiMLiydYeWpZAgl2Geufn8D61vPGdkLg/ZfH0YqmmbZ55/ubOPjb/aaxW5+7g4x5\nmSMeP6jpPLrXya9OmP/LW9SjLNAbw9b/xCc+QVxcXNj4eSHgx/Hop0xC5Gp6Lhu/8ATXvG10vQtg\n/y2p5I9Vwus88HGwV8dx7hifH+MYLT7SHRfFxcWPAo8DB4EVFRUV4anxs8BYa1x8d1MZFUHDyCzo\nbGP2zpqh5cyFWUxb1YDaZbS6ItmwlT46prytp3CiN8iXtveZjIGHZ8awIsPGfZt6qHEZQeAYq+C5\nq5KIsZ57Ba6uq/iPfg/db1CrCGs89tJ/Y9Orf+Xyt19CGRbk73LEUn7znVy55PpzPubFwEiZY9Hd\nQcRPvmZycPTIaLzf/BnEjLFRcxbwBDVueaubitPEjn8wL5a7Ci9uEE62WIiftpgBdSa95cdwxJir\nuawRQez6HqjpZu7ie+gJNNLn8oXRR0koCHs0/ll2tLn59KTPoL2im1ThQZbMJq5NVsmXe4ncsY3G\ncsGU5fcwza7R39mC0xLu7IYkQaOss7vxIK07n8fR30ZczmzESOLHZ4EPQ3VBWmwMd5dmMd/RRXlz\nO216eKVjJ1H8o9nKuiPlpCpuClOSEEIQnxdPye3TyFyYzUCnxyREeQqBfj8nN9dx7C9HUAMqiZOS\nUeyD/6lkS0RJXoQl/VpQogY1J9RwHQ1CHhK9h7k3aj0rk/o46omjXTXEGnXgYFeQP1Z6iLYIShMs\nSO8GE+yK4MoMO5/Id9DmVcPuhdOdos8m7We5dY95HU89wda3kGxJiMjcoSSuHpdIaMk16HYHctVR\nhDosOaipKCcOIO/bipaVj540ciLgXOZIckIq06fOJjsviw5nIx73AIKRxLxlvP1Byk6UcbRqP7Ii\nSE6YgIiMJnTZStA0pKqjJs0OqacDy7Z1aKlZ6Ok5Z31OY40Yq8QdEx1YJNjRHjD9T+1ejT9XDZDq\nkJiWYBkzfl9rlI3C64pp3FbPQKfhsA50eqjbUEv+ygJs0Rc3+fxheIacL2QhmBxv4S/Vxr3f6dOI\ntQrmpXwwKBA+TBjvuBjHKYzGn/nVjgZqHEbHxd1R71AbmkAgppR7i0ZnL+q6ziu7/og3YDxHl5be\nQGp8Fjt/uo2uMoOqJ3e4KHfh55Ac4cHEQVHun0PQsDHGWpRbV32D2haqYb8rmTfgONiKcnRP2Pq+\nL34XPSHFNObv97PuK68Pq1yHRQ8tJnX6hNM3f1/0+jVueasLd9B4++VGy/x5eSLWM7QcCiEozCil\n191Je68R8NSFSpMIMF3zvdt5YWxv1+OQsOATvagiRFfnMaIkKzX6IOWkQxG8tCqJrCgF29OPI3W0\nDG0bWnjVoC0BbH50PX0njf8nf2UB0++bGXaOe/bsob3dcM9tNhvLly9Hlt8/ASUkiaWXFZOyayeb\npHjUYUmrsmAWe3yFXBVxmAgpiFWorInci4TOTn8RIPCoEvtEJjZCZNPH9OnTSUlJQT64A+v6QX3J\n6KDG5F4fh/LSCKpG4UR7byOt3Q1Mzp6NLIWfa1RqFIXXFdOwvR7vMD24oE+iemc62akiXwAAIABJ\nREFUUYleErPcYdtJAlY5DpAUl8GcvEnvew1GjagY1EkzUHauH6IeEoCtUSOQFMTv2YocV0p8cQHW\naBv1W04ObeoLWWl0JlCS0kxUVxORjdWIeUsveBGeEIPv/tJEC+safaYkWoNb5aV6L0vTbcRPn4Gy\naxNiwDX0u+TqYwSXrAbZ8B3T52VS+UoFfqdxbzfvbWLKbVNH7KaVhWBFpp3sKJn1zb4hvc8qkcQk\nvZMYzB1Qbrd77LsuZAUtMw/LNqNrTXL1kRln5zVHMe1ecyXWVZmXTqfuFD4O9uo4zh3j82Mco8VH\nTpz7FIqLi38OPAy8DFxXUVERHkE7S4x14uLh3W7cwnihLN5cRlqL0Vmx5NFFOLy/As14EVqyb0VJ\nvmwsTwMYNP4/taWXk8OSE7nRMr9enMCfqgb4Tbm5uuCnC+K4/Dy5E0NNLxFqXWcas03+Om/uPsT8\nN14iwWcEsENC4tDN/8SCFbee1zEvBsIewMEAEY99E6m9aWgdXQh8X/weWv4FMEbfByFN575NPWw7\nrWL5/mIHj8yKuWRiXhFJKcRMu572MgnhrcBiM3dLRMb2one9RVRfEnOvuYPa5gMEAnJYZbmMBY9X\n0KT3k3DdZbTET6K1vIsJwh2WwLDKKnlyH/EHdtNwyEfW/Ju4PCebUFMVnbJAP/1aCEGXReJQfzNl\nu59Hqt1NYvZ0FNvonPcP00s6NymBT87IYJJopKzdSTdR5hWEoE2P4YUWK28cqSBVcQ0lMGIyY5l0\n0xQmrizA7/LTU9UdlhEIeUM07WzkyB8P4uv1kVichDVqkOpAyHbkuKkomWuQovLQ/b2mROcQdJVU\n7SR3R23hxtjjuEMStaEJhN4N2vtUeKvJz6v1XvJjFEPMD4i3SdyU5+CKdBvlvUFaB0bmHa5Ss7HH\nlzBZ3YsihiU5ND9q53Y0VzVS/DQjqSxJaIVTCc2/Eqn5JNJplHeSqw/L1jcQ3e2ohVPDRLDPZ45E\nRkQxpaiU6aXTGdD66O7tBHWkBIZACwiaGlo5cHQ33a520tNykErnoxWVIh/bi/AbHSYiGMCyZxOi\ntwt18oz37Bi5kJCE4LIJNq5Is7G5xU//sABOUIPXG3yU9wW5Is1GxBiJaFscFoqun0TLvmZcLca7\nydfrper1SnKvyCMi8eK15X+YniHng+wohTpXiOO9xj23pyPAHQUOos+jcOLjiPHExThOYTT+zL8f\ncuG0GDbOV2Nf5sWB+ZRm5nFlxuiCYh19zWw58vLQsiwprFn0ACFXKFyU+85BUW5hT8Na9DnECJ2f\ng6LczxoDF0CUO9j4D9SuHcaAZMM+6SHsv/5xWLdFcOEKQitvCdvH4ScPUrfBEPCOSIxg5WOrkJTR\nd4V8cVsvezqNrgRJwF+XJ5If897vYyEEk7Jm0efuou305IUUYJrqxyVi0YfZ1DY9GqsehVd0owmV\nJK2G6XIH+/Wp/GZJPEvS7IiWeux//aXpWP4Hv4Een0R3ZRfvfG+z6bvlP1pJTIa5EMbpdLJli1m0\nfN68eaSlpZ3VNTmFmXMLKK09wUa3jFc2fNQmNYl1AzNYFnGUOHkwebDQXsk0awMbvNMIYEEXggop\nmRaiuXf+RKLtVuy/+zHSMN0y++xlTLzpy5yo30cgZPjm3f1t1LdXMiVnNsoIuni2aBvFN06mq6zT\nlMTRNUH9gRSCAYn0yT2oCHQEp5orJAEl+j6EPRU5Orwr5nyhxyeh5RSi7N6IeJcVQ+hga1Dxp4cI\n9m9Bii4kfdEsXC0uOo8b18Llj6BrIIpJya3Ynd3Ih3aizlgIjqgzHW7MUBhr4eosO+ubfTgDxjOj\nL6DzbM0AU5Md5JUUYtluxBiEux80DbVk9tCYbJFJmpxM2fMG3Zu/z4e3a4D8q86ccJiWaOXKdDvr\nm3y4gjqakKgUSczWm7EwjBbM6SQ3NxeHY2xtQz05DdHdjtxQbfyW6mPEL1nOC50GVVxFX4gHJ0di\nH0sO1XPAx8VeHce5YXx+jGO0+EgmLt7ttHgY+ANwT0VFxXmpOo5l4mJDWRW/bzYobyRd44YXd2MN\nDgZrozOiufyzA2jdO42NZAf2qd9GyGNf0fBKvY+fHzVXfDxxeTzRVsE9G3tMVQ3L0m38YF7s+VFE\nDbQMVjAN46SVkxfxVp2DzHe2MrWj1rR+5eKVFN3+z+d8vIuJ0x/Atqd/jnJwu2mdwE33E1q6+qKf\nm67r/L+dfbxQZ3a2rky38ZsrEpAvMf2GEILYolKklKtp21dLZFSbqdteknWiourxVb2No62I+ud6\n0Kf4EJJZ/wJAxkZn5wBN9JBx69WcdOTTXt5F6ggJDIukkaM4STmxn9qdHURNWsF1y9dgqz1MV8hP\nYAQdDI9FpiLkYe+RN/EdfJ2E6EQiEkcQPx4BH8aX9KQJKXx6Rhqp3hrKu304CTfE2/VoXmix8dqR\nSpIlJ8Wpg1WakSmRFF5bRPFNU9CCKt0VXaYABYAW1Gg90MKRpw7S39RPbE4cjncDwUJISJE5WNJX\nIictAj2ENtBoen6cQoLoZZXjIA9EbyJJ7qcxlEjvu3zGnT6NZ2u8HOoOMiPRQsIwAcusKIV/KnKQ\n7pB4q9Ef1nHhVWFTTwIvBK4lxqYwSVQgCWMt3dtMqOVNhDUGKarAeD5GxRC6bCVa0gTkyqOIwGni\ngg3VWN55HT0mDi27YIheYizmiCzJ5GZOZPaMeUQn2GnvbSLgU0ekkRKajLPbzaEjB6luOkF0wSQi\nV90+mHRpbzbvt74SZe9m1Pwp6AnJYfu6WMiMUrirwMFJl0r5aR0zFX0hnq0ZYHK8Zcxa5RWbQtH1\nk2g/0m7qIgq4AlS8VE76nAyiM8I7ky4EPozPkHPF/BQrT1V68L97uwc0aB1QWZN78SgNPwoYT1yM\n4xTO1p/paurm+42GzyGh8Z34Z/jPvlu4b0oyk+JGl7zeW7GRurbyoeWC9KnMLlrC0b8c4eSwwH50\n8gAL76xECLDm3okcVzLi/oK1T6G5je3kpIVYMq4Z1Tm9F/TQAP7jPzytgOwW7GV9WHab9ep0xYLv\nKz8IC9yqAZU3v/QqAbfhgs75/DyyL88d9fm8UDsQpjHxlWlR3HOWnS+DyYuZOD3dtPU0GOcuVJql\nAMWqil9yoA7r1LQQgV2Pwyt60IWKorezUj7CHfOvwGqxYv3Hk8h1xn+qFpQQXHMfANv/4x06TxjB\n7gkz01jw/y4L8x+3bdtGb69RuBcdHc0VV1yBdA5dzQVTsljm72RLQx+9VuO/6NWi+btnAaXWenIs\nXQBMtLSzynGQrd4php0ooni5KcR8XwN5b/zBtG//Zx7GMSGXKdmzqGg8hC9gdFD0ebqpbj7G5OzZ\nWC3hfvop+0H1h2jd12L6rqM6jq76OOqLk3nMcyOrHAeH7EsBqF27ELZk5Ogxrt4H9AmZ6EmpKAe2\nDY0JDWyNKr4sjVDfViRHJvmrl9Gyr5n+JoPaqnsgGl/IwsSETiRXH8ruzahTZqLHXXi7JCVC5hMT\nI9jbGaDJY/gCAQ2er/USkZbOfIvLRNkq1RxHnbHQdH4xmbF4ewZoP9w2NNZ5vIPEokQSi5LOePz0\nSJlPTHRwoCtAo1vFJyy0Ec0s3fzfNjY2UlJSMuZFgWrRNJStbyICg/680DSKXE38NukyPO+awwEN\nkiNk5qWEC45fTHyc7NVxjB7j82Mco8VHLnFRXFy8jMGExYsMJi1GLqMdBcYycfH9TWWUD6OJym9o\nZ+5egyZq7hdmkRTxlKk12ZJ9C0rSfMYa3pDOXRu6TVULS9NtPDIzmk9t6TUFhKIUwfMrE4mznTt3\nrK5r+I99H9077OWuRLLRuRjtSA2rKneYwmrdOQUkfPVHYXyxH1QMfwAr77yB7e+/N30fmrGQwH1f\nvSS/56eHXfziuLl7ZlqChedXJo5ZZfJYQImIIH76Cpy9E3HXHyUiymv63moPkZhSSUqKi44/x+Lv\n9KJODCIzgs6Bbqe5pZcW0UPuPTdRY82iraKLFOFBOS2BoUg6WUo/mTVHqF53BG9kEZ/49L+S1HAM\np7Mb10g0UrJEvaSxq2EfbTufx97TSFzODCT5zMHSD/NLemZWGp8pTcLurKCyT8dNeMVlhx7NP1pt\nvHq4kgR6mTRhkDbBHmcnb/lESm4vRbJIdJV3mqgTAHRVp/N4B0eePkTrgRYciRHE5sQNGf2SLR4l\neSGWjNVgiUEfaAbVE3YONhFktq2W+2M2stBegU+3UhdMRUOiuj/E78s99AU0ZidZsSuD+xZC8Fyt\nlz2dZ85xu0KCda4iXguuIEnqoVBpNm5lPYjatRvVeRw5dgrC8m5yWgi0nEKCS65BuPuR66tM+xQB\nP8qB7cgnDqLlFqHHJoz5HEmMT2H6lFkUFk2k291Cf38/Qh+pC0Mi4FGpqazlQM1hnLPmkZY3CUv5\noaGKPADhcaFsfWPwtxWWwDnSpp0v7IpgTa6djEiZzS1+QsNuaXdI5281Xnr8GpdPsI0JR7RskSlc\nXURPVTe9wzQvVH+IipfKSSxKPGex1dHgw/wMGS0iLRJRFsHbTUbwsKwvxMJUK7nRl56/+cOC8cTF\nOE7hbP2Zd9Yd5PmAQWdaaGnhhsi9POZcww/mxY2aLvb1PX/G7TV42BdPu5a0hBw2fOstvN1GEHhI\nlFuyDXZQjFCwNbIo92eQHBmjOqf3QrDhebTuYXRQsgP7lG8R8av/GBT9Hb7udXejzl4cto+Kl8oo\ne+HE0LJiV1j1+Oowba/3Q4tH5fb13fiGmUxTEyz8dpRFR0IIijNn0u/pofW05EWr5CMrJCNkmaBu\nBDsVbERoifikXjQRwq8PcPD4FpIdE8h85jdDVEMAgds/h5aZj7vdzfqH3jRpIyz5tyvDgsEdHR3s\n2rXLNHb55Zef17stNTuZ65MEew/X0Gw3fG2fbuUfnvlESV5mWWsRAhJkN7dG7aAmOIHq0KCge39A\n5y9tFhyqn/n91QggNG0uwWvvACDCFkVJ7lyqm4/h8RmBfLfXSXnjQSZlzcRuDS/uEZIge3EucTlx\nnNxcayrg6W+PoP1QPC9mzuewJY9VjoPIw4pj1K5dCGs8ckzROV+XM0HLLkBXLCgnDgyNScFB2ih/\njiDUtx3JHkfhLddSt7HWdK+2uOKxKiEyY3sRvgGUHW+jZeShp51dIdf5wKFI3JbvoN2rcrjbrIe3\nqcVPRc4sVjVuw+odvFeFriPVniC0ZLXJZs1cmEX1G1X4eg1fs2FrPcU3Tn5PGtBIi8RtEx0MhHT2\ndgboEpFIuk4+hm0YCATw+XxkZ4/x9bDa0eMSUfZvHRqSu9rIy8/kOdV4BlY7Q3xmcuQQTe6lwMfJ\nXh3H6DE+P8YxWnzkEhdPPPHEC0Aa8ASQ/cQTT0wZ4XNy7dq1Z1Z+PQ1jmbh4eI/bFPC7fOsJ0lsH\nq01km8zKb0vofcNak2U79pKHEfLYcxX+/IiLVxuMBIks4K8rEnm7yR8W5P7hvFiWjbI1/HSEml8l\n1PyqaWyj5xq6T/q4+dgmHMPabwMRDqRH/wciLr746bni1AM42dWN/RePIjQjZ6alpOP92o/DaGEu\nBv5c5eFbe8wicJmRMq9ek0SifexEDMcSkelZRE25kbZjQUSgOow+KjrZR/HSZmwejVkL7yViQpDm\nzjZkzIamQCDpdhoaO2iVein+5J3UJxZx8mgbKboHi2TOa8qSTrrioqCrhpMvbKS5N5pb/+V/KHD3\nEmyppUsZmUaq0yJx2N3G4X0vEji2gfj4NOxx4a3uH/aXtCRJLMzL4LOl8Vh6Kqjp13CNlMAgmhfb\n7Lx8uIpYrZcpaYMJDGuklezLcyi9ZwbWGBvdlV0EB8Ifxc76Psr/UUbVa5XIFpmEwoQhagUh25Dj\nSlCybkCKLoCQC907shh4ltLNdZH7uDv6HeIkD/WhZPq0SPZ2Bvlj5QB2eVD/osGt8rmtvSZR7sUT\nrHT7tDAB756ghVc9s1kfmE+W1E6O0jmUwNB9bYRa3gAEUkyxIRJqs6POuozQ5JnItWUIl9O0T6m7\nHWXLqwh3Pz1J6eiKZczniN0WQfHEEmbOmE1IHqCrtx0tJMI6lgAIyXS197HPPUDltFIS/QPEOo2q\nSKHrKGUHkY8fGKSOiowO38dFgBCC6YlWbsixs7czQNtpHL/7u4K8Uu9lbrKVCY7zf9ZJikTBNUUM\ndA/QcdTg5NZVjarXKolIdJwTd/lo8GF/howWMxItrGvymfib93cFua8octTiwB9XjCcuxnEKZ+vP\nvPTWEd6xGzbMEvsJEiQ3u7iMh2eOrrus19XJ2weeG1oWQrBm0QP0Hutl7y93G+OSxtJPH8diV1HS\nVqKkLhlxf6Hm11CHJRWEPQVr0edHpJQ6F+hBN/7j/wGaUchgybkNW0MA66aXTetqMXH4vvCdMPpE\nXdNZ95XXTYHeqXeVUri6eHTnouvcv7mHsmGFZFYJnr8qibTI0b/ThBAUZ82gf6CX1p564zhCpUP2\nkBCyE6Wo+HTDrpOx4NCSCQg3qvATJEhZw0EiJJ2cnsHfp8Ul4r//6yBJ7P3lLpp3GxS5sTlxLPv+\ncpMYua7rbNq0CbfbSAIlJSWxcOHC865Qj46P4uYpSVS/s4+KSENzREdis28ajaEklkYcRREaNhHi\nhsi9xEhetvsmoSGhCYm3E0rZH53Hit6jKPeuRU827gWbJYJpefOpb6+kf8AIVHv9bo6f3EdhRimR\n9pFtoqTJyWQvzuXkxlqCHsP2VTwqpYdPsiNuEttjJnO9Y6+pxk3t3gOS9YwdSOcDrWgauJym7hkp\nALZmDV+uhOrci2yTmXjLjVS/VmnqIKrrTSbJ4SI50o1QQyh7NoHVjlZQcsGL9GRJsCrLTrxNYmOL\nuVv6hFPj1ZylrGzaQXxocI5Kzl50RUGbZOjgyBaZtNnpnHju2FCiTfWrdBxvZ9LNU0xzNuz4QrA8\nw05xnML6Jj/legI59JKIkQTp6uoiMjKSpKQzd3CcC7TMfKTqEyZ9maLWEzydehlOabCQzxnQmZZo\noXiU3XFjiY+bvTqO0WF8foxjtPgoJi5+zWCH5WrgtjN8frt27dqz1rwYq8TF5ooafttotK8KTWfN\ny3uGaKIm31pEdvYLJjFaS9YalORFY3F4E5o9Kg9s6TUF5T4zOZJl6Xbu2NA9RM0AsCjVyk8Wxp0f\nRZS3Df+x74NuGN8behfS3hHH8pq95DjbTOsHvvAdtLzRGfiXGj09PcgDbtL/7/tIbiNRoFtt+L7x\nGHryhQ1ojYQNzT4e3NzL8HBenFXwyjVJH/iKVSFJxE2ahZRyNa37G3A4WhnulwoBybkuFM8GpDYH\nS2/+LL2uKrqcLmTMhppAIDQ7tSdbaFbbKHnwPlqzp1Oxv5FkbQCrbE6MCAHJlgEm+VpofeZlyss8\nrPjW48xNysVae5hONUBwBBopnyJRS5BddbtG7ML4qLykZUnisvxMPleaiK2vnBrnyAmMTqJ4ud3O\nS4eriVG7KEkfFKRWbAoZczOZfu8MotKi6a3uxu/0h23v7fFSt76GY385QsATIKEgEWvkuzoYQkKK\nzEKZsBwl9UqEZEEbaDJRO5xCpORnvr2KB6I3MNNWi1uzU+ZL5u3mAC/UDrCh2Uejx7hLMiNl3r4u\nhQcmRRLUdI50BzmN4Yr2UBQveBay0z+ZiZZW0pV3A/u6itZ7iFDnTqTofCS7QamkJ00guPQ6dKsd\nueoYQhsm3q3ryLVlJBzeTsgRjWNS6QVx/CQhkZmWw6zSuSSnxdPR14RvIDAyjRQyPp/geGwGe3Ny\n8OMnw9k/tKbU04Fl6+vosYkmuquLjUS7zF0FDnQddnWYhbu7/Rp/qhpAFoJ5Kdbzrj4TkiDvynyE\nJNG00+ALR4eTG2vRQhqZi7IumGbQR+UZcraQhGBagoWnKw27qMev4VAEC1PHhbrPBuOJi3Gcwtn6\nM394p4YTkalDy7dE7qRFTcSaMJ2b80fH236geivVLceGlnNTi1kweQW7fr6DzmMGnVDOjE4mXTEY\niLNN/hrCGh+2r0FR7scgaNAmWbI/gRJfOqpzei8E659F69lvDChR2Esexv6/P0TqN7uO/nu+jDZx\nStg+at+q5vCTB4eWhSRY9fh12ONGV7z0u3IPvy4zF5L92+wYrj8PurxTyQvXQN9pyQuNHqkfmxpD\nqjyARzcKxyRkIvUUdFQCwoUmVMqjbXSlJFDa3Evg2jvRpszE7/Kz7suvow5zIhd+/TLSZqabzqGh\noYHDhw+bxpYuXUpMzNhQLlrtVtYsyCO4cSu7IlJNtsmJYDZbvSUsizhKtDRYvDfbVsuSiBO8452C\nSx+c31WONP6cfgWTphaE6YhYFCvT8hbQ0l1Hj8uYw/6gl2N1u8lJLSI2cuR3dNSEaIrWTKZlTxOe\ndiNxY1E1ph1roN0fx6rp+zndxdB6D4LqQ4qfObb2hRCo0+Yi2pqQm+uGhiU/WFs0fLkyqvsoVruf\n3BtuoeKlclPHdFVXKtlxPcTavQhAOb4P0d2BWjofRhAtH0sIIZiTbGVuspU3Gn2m2EVHSOZPGcuY\n0V/LRN/gfyRXHUOduQg9NmFovciUKCx2hYatxr3gauof9FPmZb7vOUyOt7A6x86W1gA7/InM0Fux\nY8Q66hsaSZ0wgZiYMSzwEQK1oATL5leH/AgpGOBKrZVfxy8cmu/tAyp3F166AtCPm706jtFhfH6M\nY7S4GP6M0PXTWcM/XHA6nWPyAx54bht/d+cNLefVtfHJpzYNLd/913QifH80NpCsRCx8EsmWwFjj\nU1t6eL7WqApIsEnsvzmFL2zv4/VhXRgRsmD7jSnnxRWu6zq+Q99G6zVaUTd0ltDeP4nCrgauK99q\nWj945Rr89331nI93qVBVUc7Evz5OTN0J07jvs98mtOiqi34+h7sDrH69C/cwDhWbDC9enfShC/hs\n/ffN1LyyhQV3VpJV2j3iOgNOOwPS9Uy4+g7efPtPtLT5UUagkALQUJGsLpYvXoHSo9Hys18yR28h\nzuobcX2ADl8kBy1pZH3l80wozuHoGz9ld3cDre/T9h/vDzHbFsuMZZ+iIzBouBYWFp7lL/9wQFVV\nHn/nAL87GUET4cGGUygW7Xy5ROGuueYggxbSqFlXxcHf7ad1f8sZtgbZKlO0ZhIzH5xD8uRwjQVd\nC6B2bCfY/Bqa89gIezDQHErgWfdl/NG1lE4tzvTdr5fEc/tEIzjT4A7x40Mu/lI9YOrKGI6VEQd5\nKO4fTLYO14UQKBnXYs2/H2Ex81+LjhZsf3oc5bCZKuEU1IIS/Pd+BS3nws+VAZ+HbXs2crK2ARF8\nb05cTfeR5qxjeU05qV4jmByasRD//V+/KBzH74Vd7X4++04v9e5wHZRZSRb+Z3H8qPnZz4Rjfz3C\nxm+/HabbMuW2qVz5w6uQR6CYO19UVQ3SjX3UniHvhy9v7+WpYcmLCFmw++YUsqM+2An4DwJiY2PH\nW1PGAZy9P7Pkv3dyJMagOPlLys940rWMy0qu4MvTRheA+7/X/52GDoMm8Zq5dzEnZxm/nfu/po7L\nlV8+RPaMLqS4aUTM+smI+1J7DuI79LAxIBQclz09YpLjXKAH+xnY8UlzAVn+fdj9JTh++CXzuaRl\n4/3hk2F0ibqu88x1f6LjmNGVV3TDJK75xXWjOpdqZ5DFL3XiHfZ+WZhq5dVVSWOiS6fpGq/sfJJ9\nlWZxbHRBaiifQkmlQQsP3LpFOz1y9aCaM5CuO7jr6oeITc9jz+M72fmYoe1nj4/ggZ2fMdFjaZrG\nCy+8QF+fkQTKyspi1apV5/2bRsJzT27ka8Es+k8Tbk+R+vi/lP9hjs2ga3aqDr7U/SnWe6eb1v3s\n5Ei+MyeWCMV83UNqiBe2/ppjJ/eYxhXJwi1LPsvU3LlnPK+QL8j6b75FxYtlYd9lTHWx9NMHiIgJ\n70iWJ1yFbdJXEGOdFAiFsP/y31AOnKbNmCToW2lFtwjklCV09NzOS/e/hBYyin3sSpD7Zm4nKdJI\nxKhFpXi/9D2INtvXFwo1zhD3bOw2dScBCF3j3+v+xkMNryAALT2Hge/82sSAoGs6L977vCl5ISkS\nn/j7nUyYfnZC8f0Bjc9u7uRwUzdfUHdhxbBB/ZKVVdfdQEHq2DynTsHy+jPYnv2VaeyLhZ/kVxlG\nzGHz9cnMSLo0WhcfV3t1HGeH8fkxjtHiYvgzF12ce6wxVh0XD+9xmaqSL99eRkbLYLYxoTCO6cs2\nQsiorFEyrsNyhlbp88HOdj/fPo066IfzYmkdUPnpETN363fmxHB11vkJYYZa3yTU9OLQ8ob2Ytpd\nU4jye7jpxGaUYVXHWnoOvi9+F5QPXzAi4m+/IuHYbtNY4KqbCa6+66KfS70rxA1vdtE7TL9EAL9b\nmsCKzItPV3U+qHi5nK3/vhm/20rNrgl0nowhOc+FPcps0FvsIRy2E/TuX0dG4mIuu+5WGlr24R4I\nImGeTwIJVDu1dU1Ud5cz9d7bYNVt7Nh0gmifnyglXOsgUglSIPXg2L6Joy/vIJQ1ixse/B6FA05o\nqaVT6GgjOJPDuzD85RuJdreRWjj/PbUwPmwwKKQSiXJVUtMbxDlC0qibKF7rcPC3Q3X4nI3MzZqA\nJEkISZBYlETJ7dPIXZpH0BOgp6aH05WydVWn60QnR/90mJa9Tdjj7MTlxg9VnwkhI0XlYUlfiZJ8\nOQgJzdMIerjzFyN5mW+r4tWBObSphjMRaxV8c3q0iUYt1ipxbXYEN+VG0OFTqTjNMQKoCaXxtPsK\nKoIZTLS0kSwPPmM1VxWhtrcRthREZLZRKRcZTWjBctScIuSaE2G82VJPJ8rm15D6ulHzJ19QmjmL\nYmViTjGzZ8zDEWuhw9lyZjFvoeCxJ3MkvZgDqSmoIkiGqx+5rQnL1jfQE1LQMvMuWfdFZpTCPUUO\nOr0aR3rM/3vrgMbTVR6skmBu8vl3X6RMSyV5aiq166pNTnzn8Q7aDrWRvzylD+NAAAAgAElEQVQf\nxT629/nHtUJpfoqVp6sGhoJ4IR1OulRuyYu4YN0tHxWMd1yM4xTOxp8JeAN8u1xHHRYYfTT+b/zM\neQOfLR1dstA10Mcbe/5iGluz6JPUvXqS6jcM8VxHnI9F/1SBkMBa8GmkyJyRz636d+gDhj6DnLIY\nS9rYFQYFT/4ZrfeQMWCJwV7yLSKe+B6S01w041v7XROF0CnUb67jwG/2mcZW/WI1jqSzr3wOaTq3\nr++mYZj4cJQi+PvVSSSMEcWrEIKizOkEQwEaO6uHfQEeqReXGk8JXfQQNzj4LqxEDRPt1nCJIAdr\ndqP6FY5+55ip22LOP4eLkVdUVFBZWWkaW7FiBQ7H6Dp5zhYlM/JY5mljW1MfPcNEuz26nRfcC0mQ\nXZRa6xEC7FKQmyJ3YxcBdvqK0d61gfZ3BXm9wcuCVBspEcb1lySJKdlzcHudtHSfHBrXdI0TJ/di\nVWxkJReM+I6SFJn0FQX8tNpPdk0bw6X3XB02avdlkVrQQ2S8uYtYd9ei9leiJF8+tskLSSI0ezFS\nbbmJgkgeAEvHYOeF7m0gKrqe+FnXUfu28XtDmkxVzwQmJbVgVwbtY6m7HWXvO4RKZkPMhU9eJNgl\n7ihwUNMfMtvoQrAxfionHJms6jmMvb8b4Xaizlg0bBVB1mU5lD1/nJBvcFtd02na2ciU26YiW9//\nOttkwS35kdQ0t/P2QCLTdYNJQtFV9lU14E/IIT9u7AoHtYmTkcsOIXUbSdIrnSd4Lnk+Pe9q7flU\nnetyzi+Oc674uNqr4zg7jM+PcYwWHzmqqAuBsUhcbK+u5dcNw2miNNa8vBdrcPAFuezrCtERw1qT\nhQXbtH9BKGNryKmazj0be0x80dMSLHx7VjR3rO8xVfbMSbbw34vizyu4o/k68R/57lDgcEN7Me3u\nqQhd44ayrSR6h1EqyQq+r/8YPTH1TLv7wELZ9iaxL//RNKYWTsX/uUcueKvs6ejwqlz/RhdNHjPf\n+3/Mi+Weog+PZghA54kOXnnwH8OCggJNpDLzoYfpqvIjq3UoVvPvtEf6set76Nz1DhPzVrFg5TXU\nNezB69NGSGAYFFJlDQeZdvdNxP/TF1i//ggWd5B4S3gHhlXWyFacZNUdo+LZddS161z78C+Zlzmd\nuJNHcXr68YxQaa0LQZdVpjzQO6SFERebjD1+7AQlLzUkSWJ+bgafKU0izl1FdW8AJ+HPsF4cbO6L\n5o+HmmlrrWJuZjI2y+B/E5UWTeG1xUy+dSqSLOiu6jY5wqfQ3+ik4qVyKl+tACB+YgKKzfh/hTUO\nJXEulqw1iIgJ6P5u9ECPaR8vDczj9y5z0OPuiLf5VXmAo+5oShMtRFuM4H2iXeamPAdXZ9lpdKvU\nuU4/L0FlMIOn3csoC2SSb2knRXaC6kPt3IrqLEOOKUJYY99dXaCnZRNcdj3IMlLNCZM2jkBHPlmB\nZcsroFjRcosu+PMkOSGV6VNmUVRcSJ+3HWd/3xnEvAWqEk1TfC47swqoj4kgua+TuJ0bkBprUSfP\nBNulcZZssuDa7AimJljY0uI3vddUHTa3+NnU4mNBivW8dX7i8xPIuiybmreqhxxeGNRpqX27mtxl\nedhjxy7p9HE19CMUiXibxBuNxjO5uj9EXrTC1IRLx+H8YcB44mIcp3A2/syBrcf5Q7/RVZEi93FP\n9BZ+1n8jP5ofh1U+e5/gSO1OKpqMREB6Yg6Lp61m0yPrcbcZyfqSFY1klPQgbElYi780ol6F5u8m\nUPE4wysabEVfQIoYG59BD/TiP/4jk+i3Je8eLP2RWF980qQGpRZOI3jzA+H70HXe/n9v4m41qKwm\nXl3IjPtnjepcfnrYxd+GdcUDPLYwjivSx7aAQQhBQcZUKvtlXL3DKv8F+OQ+uoljSqgX1/9n77zD\n4yqvrf87Zbp6L1avbnLvuNGCTcemhhICCZckIgVCAslNyE3IdxMIkODcNAJJaCYEMN1g3I27JVfZ\no2L1XkfS9Jlzvj9ka+ZYxbJlmxC0nkd/nHfOvHM0c8re795rLSkEhcCzUsaAWYnFLXTjFzz48FHd\nepTQDCf+vX1yT4YwA8uevVoTl/l8PtatW4fXG2gqyMnJYcKEgXJb5xIJaXHckGTg0J7DVJkDfgMK\nIuudU6j0xrPYdAS90PfbzzaWs8BoZatrAj1qXxzT5lJ4qcyOSe6TJwo0zAjkjZuKikpVs1XzueUN\nh7G7e8hOmoQ4yDm9ts7F0x4Llenx5JQ3YPAEYgivQ6RsezLGUA8x6d2aXhDV2YCvbQdyQp9M6jmD\nJOGbuQip9JBmMVyyg65dxZUuonpaiYy2YjfPoP1AwK/N7ZMp60pifHQ9ernvexQcPei2r0NJyUZN\nOL3s0mihlwSuSzdhlgW2NGp9L45axvFOzEyWdJWQULYXf0oWalKgQKoP0ROVFUXpOwGvD3eXC0eL\nnazLs0f0+YIgsHBcCLVHithPAukEWEVm1cOOyhb2qgksSDCcG9NsQcQ/fiq6LR8i+PquKVn1M7u7\ngr8lLEIVRKw2H3flWgjRnRsPoDPBFzVeHcPIMHZ+jOFMMVa4GAHOReHifzYcocQT6OpNr2phzp4+\nipQowcK7ixH8gSBeTl6GLn7paD92AF4qc/C3ILkFgL8tieLJA73sawsEknoRXr88RtNZcqZQVRVP\nyf+i2vuolyeLFgAz60uY3Fyh2d9z8334Z557hsn5hlh+BOOzP9WacUfF4vrBU2AOGead5x42j8J1\nH7VjtWk7wr85MYQfnKGh4mcNV5eTN299HWdHIHmT9BLX/WMl0blxRE6YjRh7BU1FDRiNDYiStj3f\nHNaL3rOVlh27yJ90PdMXLuZ47R5cbnXIAkZldSPFRz8l95qlZBU+wodbj+Lv8BIj2wc0kIuCSoKu\nlzx7LfWvruHApoNMuPsRFi65c+QsjKrd1Ox4HaF2P5HJE5ENF/Z8OV8QRZFZaUl8vSCGaEc5FR0u\nugYpYPQKRnbbI3j+UAellSXMTAonxNiXmBvCDKQtSmfKndOwxFnoOt4xqA+Gq9NJ1cZKDvy9mN7G\nXkKTQzWdjYIoI4Vmo0tejhQ9G1QVxVGLSxG4p+VbdKuB41pm2sczsS9we+hmYux7+OvRbvbZY5gc\nY8EYJBGQaJa4OdvMggQD5TYvDY5THLyBcl8SL/Uu4ZAnjXS5hQS5C9XV2GferbgQw8cjiCfOQ0nG\nP34avrmX4qguxxiUMAIIXi/y4T3IuzehxCagxo8774wGg95ITsZ4pk+ZiT5EoLWrAZ9bHdTMWxB0\n9JpiOZSYz97EBFwtVaS/txpiElCT08/rcQ6H3Agdt2abqez2UXrKPbHBofCPMjtGSWBmzOjYF6GJ\noWRdlk3l+grc3YFz1NnhxPr2URJmJBGWfG7uv1/kQH9ylI6N9W7qHYGFxS1Nbm7KMhOmv/BJ+ecF\nY4WLMZzESPKZtWuL+VgOFANmGcpIljqw6hdy/8Qzk4n6pOgNjQfA7PxLCe2OZvuvt2n2W3RPCQaL\nD13a0H4V3tq3UDoDvgiCJRV91j3njHHlOf4PjcSkoI/EMPFhTE//CNEWaHpQAecPfgMh4QPmqNte\ny55VWvnHK357JZb4kcd2+9s83LdF6023LMXIz2aGnRd2WUmnl3v3RNCqRJHOMUQhEEu7xW5aRTNp\nXgVBBx41IDkjImNR4/oMuwU7qqDSE+rEtMiJWGxi5r0LSFucrvmsAwcOUF0dkOORJInLLrsMvf78\nS9mYw8xcPTmO1g/WczAiVfPaMe84PnRMY77RSozUV3RKlju4JeRTqn2xlHr7Goz8KmxocLOz2cNF\nCXrCTzx3BEEgM3E8EZZoSusOogYtmde3VdLYXk1eyjTkU5jW/1vcw7EuH7YICwcnpzOzswu5LbAW\noCpQeyCG7tZwkie0IumC8hxvF96GtcjxS89tk6Ms45u5GKmkCLGzLTDcoyJ3qrhTRfD3kJxZRqer\nAFt5IEdzeWQqHKlMiKpBJ/WdwYLPi7xzPYgSSs7k8x67CoLA3HgDs2P1fFznwhXUX9SmD+PvCQtJ\ndbczbddb+OZdAqZAvhCZFYWjzU7LwUAM3lrSQlROFNG5IzPY1uv1mN02lObj1BBBVJBZdywO9jY5\n+XtLGEuTjZrGqLOGJRQ1PAq5OCDxlezpxC+IbIkYj6KCWSewMPHCS0R/kePVMZweY+fHGM4UY4WL\nEeBcFC4e2dVNT5B0yoLtAZmo2Xf7iR93KLCzIGGY+OgATfTRosut8OUNHTiCPA9uyDCRHirzeHGP\nZt9Hp4VxzSjM3wB8Tevx1fwLgA0tgaJFXG87y6yfakRIfBNn4LnzO5+ZvMjZQuhoxfSr7yE6AxJf\nqk6P6/tPoiakXNBjcfpUblrXrilAAazMNPH0/NGZq19oKH6F9+57h5ZD2gXcS/7f5WRemtW/LZtM\nRBYswSPPo+1gBZbwtlOnwhJmQ+7dQOvug0yedQvTF8zneO3eIRkYomKkrqGD3fs3krxoMpMf/Akb\nKztpq7YTgwNZHLhIHalzkUsbrP2A4jfXY4/J5JJ7fnZaFgaCQIdOosRtY9ehj+jYvQZDbwth4woQ\nLzBT53xAFEVmpibxtYJY4pwVVLY76WAg68ct6DjsjuS5Ejv7rEcYH6kj7oSRnaSXSJiWSMFd04ib\nGIe9xU5PffeAORSvQvPBJg69eIC6HTXIJpmI9EjEIIdD0RCNHDsX3bhr+EPTRN5rCyzOyPj4a9zv\niZT6ruV42cZS00EKXB/wUVkZh7sNZMYkog+aLy1U5o4cM1OidZTZfBom20kc9yXwSu9i9rszSNW1\nkSS1o9iO4Gtaj2CMRTBr5aMqErNxJGUQ0VqHYNfel4XebnQ71yOWl6Ck5aCGnVu93MEgCALxMUlM\nnTSDzJwM2u2N9HR3D8nCUCQLTeEp7IpPo7J8H5FFWwnLLQDj+ZGBOB0sOpHrM0zkhMtsbXJrkli/\nChtPsC9mxeqJHUWh3hRlIvfqfBr21ms6iX1OH9Y1RwkdF0bs+LjR/CvAFzvQFwThhGSUnZNhjNsP\nxzq93JQ1Jhk1FMYKF2M4iZHkM69sOEaRJSCBdKV5Hx1KKBFxU1mWOvK8wOm28+7Of2gWca+aewdH\n/3qUpuLG/rGk8R1MurwWBB3GiQ8jSANZBarix3P0CY33hD79NqTw/BEfz3BQ3O14Sp7QsC30mV9B\n16ygf+9lLdtiylx8l60YdJ5PHl5Ld10gPklfmsGM+4b2OTgVDp/Cio/baXUFYokYo8gbl0djOQ8d\n011uhWvXttHiUmgnkWbGkSUcQQoqm3gFOx2iSqg3lBi5m94g024BAbMajaQacAldIKg4RQ/KPDsx\nkxLJSg38Pk6nk/Xr16MENXlNnjyZzMzMc/5/DYXyinI8tnIKjpdzMCwFrxjIATqUUF7rXUCS3MFE\nfR0ABsHL1Za9jJPb2ebKx0sfu6G6189LZQ6iDSJTonX9z57E6DRS47I5WlOEXwk0S7R3N1HecIj8\nlGkYdH3nd6vTz7e3d/X7pnkMOn74venECwpNRYHrA6Cz1kxlUQrxWe2YI4KkbBU3vrp3EEIykSzn\nkNGg0+GbtRjp0G5EW2f/sNytoutQcaWJiIKX9AlWehzT6QxiBzmcElX+LCaGV/bnSwIgHy1GrK3A\nN2UO6M5/oSojTOa6dBPbmjy0BMXmXlFmTewsmgQTlxW/CfMvgSA2zLj5qVSsLdM0zdVsqSL7ihxM\nUSO7/0VHR1Nx9Ahhip1uDBiD/C7S6WJ/r47fVOjIDZfJCR89Y0ZJzUasqUBsDMjoXdRlZW3UFBoM\nURzt9PHVfAuGM2DLnQt8kePVMZweY+fHGM4UY4WLEWC0hYudFVX8oToo0FNVrnlndx8lVFC59Fsl\nSEIQ2yLxsnOq2XoS/1NkY3NjIOAxSQJ/XBjBPZs7sQcVMwqi+gxMpdFIRLnbcR98DBQPG1ryaOrp\nK1rofV5WHF6P2Rc4DjUkDNf3nwTz50vGCI8b05MPIzXVaobdX38U/+SRJyrnAj5F5a6NHWxs0Hak\nX5ps4PklUcjnwMjvQmLbLzdz7C2tyfnk26cw54F5g+5viIgkcuoVdHfmYKsoxRx2yoKvAJbwDoTO\nj2nZfYypc29l+rz5VNXtxTFUAUM10trqZFfxZkJyopn90E84FpNCyZ46InwuTPJAnwOj5CNdsjGu\n4iDW1R9weH8ZCx/+DTOnX0eOw4ZSV0GbyKAsDL8o0CgLFHfVcmDPW7gOfkyYKQRzTMaZfn3/dhBF\nkempiXx9WgL5Qi3Vre00K6EDCpU+QaLcF8Hfy31sPlJCot5NRkwUAIIoEJUdzYQbJ5FxaSZeh5fO\n8g7UQdyye+q7Kf+glMOrD+HpcROREYkhNNBt1OaWuHuHiCeozvDV8K3cYNk+YC6doJCnqyPPvZna\nynWUtncTG5GAfEIrWRAEcsJ1fCXPzLQYHRXdPpoGYWBU+uJZ3buQve5sUuVWkoU6/C0D5aM6Ojpw\nR8UTtuIuVHMIUsXRfgp4//fZ0oC86V3ErnaUjDwwXhhJJpPBTF7WRKZPnQkGL21djfg9DMHCkHEa\noiiVwik6tB1b5SESMsejuwAJ68BjEZgQqePWrD794/LuQdgXpXb8KsyO05/1/VJv0ZN/3Xhs1V20\nlwb00FW/SsUJH4xx81JGtcD+RQ/0o40SZllkfX3gWVfZ4yfeJDHtMzKg/HfHWOFiDCcxknxm1a56\nqk2B+8vdoRvY7JrI0uxspkSP/Borqd7Lkeo9/dsxYYksGn816x5cq5HVm7minKhxduSEpcgJlww6\nl79tZx9b8SREA4aJ30cQz8017yl/DqU7IBEjGGIwjH8I868eRAzyn1IFEeePnx3Uc6phTz07n9Ia\nG1/+1HJCk0bOUnlkl4119do4/i+LIs+Lua5fUblzY4em2clGNCsnT8XTUaxZePcJLmxSD4ovgWyx\nkU60ngV6QjAr0bhFG4rgxSf4qGkvpay8iILci5AkiR07dtDSEmDfGAwGLr30UuQL5Gmoqipbt27F\n6XQSEgFzmstpFEJoMwTYkD5k1jqn0+iPZKGxBJ3QF8tN0tdyrWUPxe4MGv19MalHgbW1Lva2elgQ\nr+9n/UWFxpGbMoXSuv24vYHF7x6njcNVu0lPyCfUHMFfjtrZEJSzZYfJ/Hx2BOmLM4jOjaZqUyWK\nNxBLuntFSrePQ2f0EpsZLB2l4G/ZhOLuRIqeOajM2llBb8A/cxHy/h0IvQFJKLlbRdd2onghqaRO\nKKGzbSK2usD50tsjUKOfyISQMiQh8D+IjTXI+7b1+V6EDmQsnWtEGERuyTZRb/dzuFMb9xWFZrJW\nTeTipn2E54/vH5d0Ekkzkyl5/TDqCZlRv8dP7afVjF8xcUR+FzqdDp/PR3NTE0b8+E5xjMtXWynx\nR/JclUCHW2FhgmF0ebog4JswHfnTjxDcfXKaIioLu47xQuJiehQJkySwIOHCsi6+6PHqGIbH2Pkx\nhjPFhchnBFUduLD0eYLNZhvVP3DfG9t4rTuw+JhW1cJX/7YegNzFHSz6SlHQ3iKmuc8hmpNG85ED\nYO3ysmBNC0H1CR6ZFkp1j59XygMdTLIAG66OpeAMkpNToaoq7oOP4W/fxYaWXJp6Jp98geXWT8lr\nq9bs73zg5/hnLDzrz/tMoKoY/vxLdNvXaYab51+B5b4fXtBDUVSVb27r4tVyrQTY7Fg9b33p/HRp\nnU8cevkAGx7Vfq+JM5JYsfrmEQWMAI1bP8Zf8yKRia2Dvq74BFqbJhK94OsYkpN4+/0X6OgAmaH1\ng704iI+VufKKu3B197L/hz9jUm8j6aauId8D0OAK5bAujqi7bkZKz8Bvq8dW+g7FtibqTafvtEl3\neJkak8KES76BKXpww8rPI3ZWVPH/djaw3T0OrzD47yqoKpOkJr45Qc8tswbKR/Q29XD41YMcfuUg\n9hb7IDOcmEcSyLwsm4I7ppKyIJWHdtr467HA/hF6gaIbogjr2Y2n/iOUziKEU53BT0GLfiKJ6Zdh\nSFiIIAeKrqqq8km9m1/t72Zv60BT8JOYbzjKdyPeZZ7BiiBKyOOuQZ/+Zcqr+jrtcnJy+o69uxP9\nG88jb34fQR1YEFGNJjzLb8V7xY2fiadEe1cb2/dspKG2BdE//HNDwUdImMj0mfMZnzX5Ah2hFqqq\n8s/jTh7e2YXNM/A3zguX+d2CCObEn32CpyoqO5/Zzu7f7hjwWvbyXC5/ahm6EVz7g6GsrE9i8uT5\n8UWEoqpcvbaNT5sCDRAWWWDbtXFkhF2YRbDPE8LDwz9fnQv/IcjLy4sFfgJcD8QDXcA24OdWq7Vo\nuPeeeP/pco9Iq9U6fAByCk6Xzyh+P7nPldKmDyzmbkr6Mbc2f483r85nfOTI71uvbnyWkuqASfXC\nyVeS3ljAh998r3/MYPFy69NbkXUKxpm/RQrLG3Qu1/5H8XcEvjI5aRmG/G+P+FiGg2Kvxbn7vj5d\nnhPQ534LU60R4x9/odnXs+hKPPd8f9B51tz5L6o3V/VvpyxI5YZXbhrxcXxY4+TW9Vofri/nmPn9\nReeHWfmTPTZ+d7hXM3ZnrpnfLYhk74GdfFLyCna3TfO6qMrE+POZ5O+gUkrFr2rvtwp+OqUK7EJL\nv593KBbmTbqRY8Xlmn3nzJlDQcHgsmDnA62traxZs6Z/WxAErsnO4pHNHbyROnfA/uN1tfwx9o9k\n6wImy35V5CnbNTxrW44/yPMjTCfwi9nh3JFj7m9M6HZ08tInT9PYoc15dZKea+d/lTuLMqjuDXTi\n/2JWGN+aFChydZS388E33qXdOpBJnjq1nUX3HMYYoo0xBXMKxim/OGe+LwBCZxum//0u4ilNep4E\nka6Ldag6AZ9H5OP/u4SGA9rbS9qMSG6OewedU3seqUYzrvsexT/9onN2nMNBVVVeLHPw8M4uDesW\nIMzn4PeTVa6em6sZ3/9CEZsf26AZy16Ww/I/XDOi5hO3283q1avxePriFBU0LT5OZP4gzaVRCGNi\npMxfl0SRHzE69oW0fzumpx/VjK1Kvpzv5NxFmE7gwI0JRBou3JrAWLw6huEwdn6M4UxxIfKZLzzj\n4tFdNrqDZKLmbz/KuPoOQOVLD5Wh0wcWnKX4JeiSl43m4wZAVVXu29pJRXfgaZ0SInFbtpmf7dNK\nrjw4JZQbs0Yn6eFr/Ahf7RvaogUwqbmC2XVHNPt6l16Dd/kto/q8zwK6D19Dv/afmjFb9mRqrryL\n6JiR6WCeC6iqyo/32HjBqi1aTIiQeeuKmM+d7nf1lirWfvv9YO9FLPEh3PDyjRjOwOA2NC2LkEnX\n0VoZiqe1HKNFa7ItiBAS1gLta2neeYTJs25k9qKLaWwupqvXicTABVgJHU6HRPHBIirq9jPv3nuI\nu/t+1u4qpbfVR4zoRBIHrgmEyh6yxE5iirfTum4XNWX1zP7WL5g7/1YmImOoK6PL58UtDf5bdekk\njnl72XF0PW273kTXUUP4uMmI8ue7u3hcVAS3FqRwfZKH5oZyaj1mvMIpi46CQIsaynstZlbvr6K1\n5TizUuPQndAJ1ocYGDcvlSl3TycmPxZnu1Mj09APFTrLOzj2ZglbNtexKiYBNSiF+O8Z4SxOMiNa\n0tAlXoKceDk+0UJPTyMG1TFwPsDib0Vt34mreg2KvQpBNCAYExBEkaywPgmpuXF6qnv81NkHmovX\n+mN53b6AT13jSZA6SLFvwdf4EX70eHXjiI4+cR8xmPBPm49/+gKEplrEtibNPILPh3y0GHnrWlST\nBSU1S0N7P98wG0+wMKbMxBAq0mZrwuPyn9JfduJYEfG6BWoq69h3cCeN7TVER8VgNl44tp0gCEyK\n0nFL9uDsi3a3wstlDtpdCnPj9WdFrRcEgZR5qURkRFK18Xh/1x5AR1k7lRuOk7Yo/axMu8c6lPq+\n3wUJBl4qdfSzprwKHGj3cmu2+dyYXv4HYYxxceGRl5cXBxQBC4C/AX8GqoBbgXtXrVr1QWFhYdOQ\nEwCrVq16DCgBvgG8PsjfocLCwoHV7GFwunymtrSB3zQG7ktGwc39YWv5s+M6fj4rfMTXlsfn5p0d\nL6AogWffstm3sf/J/dhqAouY+YvrSZvahhiWhz7j9kHnUhwNeMr+qBnT538H0RA1omM5HdzWZ/u9\n+AAEUxKG3Acw/epBBG8QO1zW4frRsyANbLRoPtjEp/9vi2bssie+RFjKyLrKmx1+VnzcjjPoWZER\nKvHyJdHnRd5ldbmD/96rjZVmxOj4+9JoZFHA3uMkPXoCNncLPc5AbUwVFOxCC11CLCleB6JOxa0G\nivwCImY1Glk14hI6QVDx4KWy+TCyakR3wussIiKCJUuWXFB5v3379tHeHmBCpqakMHfHGm6qeA9z\nh5Ntcfn4giRa25RwXuu5iAiplwJ9NYLQ5223wHiMhaaj7HTl0qX0MW/dCnx4CvvCoDNRkDmPps5a\n2rsDsreK6qekZi+9Hg91ZAICBgn+tDASkxyIm0xRZibcOBFXl0vjuQBgazJTsSuZ2AwbIdFB+Y23\nG1/9+2CIRQzJPDffr8ncJxt1cDdiT+BckHpVdE0K7jQJUQ9pU6ppLE3G3hH4Dm2NLppSLiIvxYbU\nHSjKCT4vul0bQFXw5025IL4XU6L1fCnFxOY6B51B9R63qOOtNj0ddg8Lk0z9zIf4qQl0VXXRfixQ\nOOoo70A26UiamXzazzzJJGpoaOg7hlNe16EwUW3mkJBAjUvi5TIHMUat9NiZQk1IQehsQ6ou7R+b\n3VPBzrAcSgzxSAIsTjrzuPNsMRavjmE4jJ0fYzhTjDEuRoDRMC72VtVy6UbtAs6Dv1lDWI+TlII2\nvvTd/UGvCJjm/AnRojUNGy0G6+L548JIflHUrVlQGx8hs+mauFEFyYqzCefu+9nYmEJjUNEi2t7J\nbQc+Qg5KYvwpWTh/8n+gv/CGUaOBdGAXxqcf0XQ/K4mpHPrygyhG8+Z586IAACAASURBVAWtHD91\nsIf/OaX4lBYisfbKWBLNny+PhDZrK6+veBVPTyBRlE0yN75+K3GTz757SPH7qfvoNfT2NwmN7h1i\nH4HWhnwi532N0MxcNmx8hfLqNnTq0BR/BT+ivocFM+YwYdIiDr29Bsdr7zBNaSTK4BzyfQDNrhAO\nSXFYbr6Gyddeh8/tpHLTnzhwfC9H9AK+IYoYJ2Hx+pmkSEzKv4iUBXchfc6LGABtvb38/JMDvNsR\nS4cw9EJ2mOrkkpAmfrgoh7yEgedFe2kbB1/cz7E3S/D0ejSvqcCLty+hIjug352qhz03J2KQB37n\nqqrQ3VJMeen7ZHh2YxAGyoNpoItETliCnHAJYkgWgiD0yRM0efj1/m62NXmGfOskfTXfCFvLlea9\nqPoEQic+gBQ19dQDQirahmH1HxBbGgadx5+cjufm/8JfMOcz8wzqdfTw6Z4N1JRXgjJ8UUJFQTYr\nZOfkMGfqRRj0Fy6pUlWVt6tcfH9nl0ZT/CSSzRJPzAtn+Rnoup+Khr31vPf1NTjbtfcEQ7iRK353\nJelLzkwKbqxDKYB/lNp54FNtw/nPZ4ZROPnMDIT/0zHGuLjwyMvL+zPwNWCF1Wp9M2j8WmAN8LrV\nah22Hf8E42Kz1Wpdcq6O63T5zNrXP+WW3vT+7Un6ah6OeIvnpB/wzhUjb8opqd7Hqxt/178dZo7i\n63N/yt8WPqfZ7/r/2Ul0Si+GCd8fUibKU/4XvDVv9G+LYfmYZj4z4mMZDv5uK669WuaGYeKjmHZU\nYnjrBc24++rb8a68d9B53vv6Gio+CjAKEmcmc+O/bhnRAqSiqty4rl0jfycJ8NGVscyMPfex3b5W\nD8s/bMUd1E+RaBbZcHVcf95w8jmTnpHGmk9+x8GmQwPmsSjxJHiTSZQ7qFEG+it4cdAmW/EKAXar\nWYklyp/FVcuvITn59Iu/5woej4eXX34Zny8Qw12Rk874Fx7v394i5XDv9Ps5bhkYV15m2s9vol8g\nWgrkEG5Vzy86V/BCz8WoQY0aoTqB/54exj35FiRRwK/4WbvnVXYeXTdg3mo1l4+4meuyovjToqEL\ncWXvW/nkBx9p8iMAQVSZelUl066uRJS1l7YYuwBj3gP9MqSjRncXpiceRKqp0Ax7owU6L9OjGgTc\ndpn3n5hDR7U2Zsq9KpdrJh3GsPPjAdP6Js3Cfd+jF8SzDaDbo/DA++Ws6RoYm57KfPA6vfzzhldo\nKwmw9wVR4LoXV5J60ekZ8F6vl9deew2nc+icsBUzv5fmYRf61kKuTjPyzPwIoo1nmcO7HJh/fC9i\nayBHaNKFM2vm49gsUexfGU/cKPzczgRj8eoYhsPY+TGGM8UY42IEGA3j4lebDnPAFdACTa1pZd6u\nvkr40vsrsEQEAjopbiG6cVef/YEOArdf5db17XQFSWIsSNDj9qsavwtRgNWXRpMScvYyC6qq4D70\nP2yotmiKFrLfx4rDGwjxBrpCVIMR58O/gYjPV5VVrCnH9NQPNJrzqtmC84dP06b0XUsXqnL855Je\nfrxHW7SIM4m8tyyW1FH8jp8F7K123rz1nzjbgrrbBVj+f9eQMn90hTxBFAnPmYwx+1qaj6oovVXo\nTafQq0UICW9D6PqIpk93k55xCYuvXInLVU1jexOCahig4y8ggt9ITV0bu/dvwhCnZ/53H8F7+dWs\nX38Y0a4QJTsHXTsOkT1kSp0kHN5N2eoP2L91F5Pu/T4F829hTtoMomqP4u7upGswQ2/AK4nUy1Dc\nVUPR3rfoKXofo6eXkKSJCOLni2VzEma9nmX5qXx9Yii0H6OmR6VnEOkut6DjmDeSF8q8fHLoGCZ/\nFxMTA6bH5mgzGRdnMuWuaYQmh9JT342zve+8OliQzvYF4zXzXfHKVrr/tgefy0dEegQ6c2ChQBAE\njCFJJKUtxhaznPWtofQ6u0mUOxkUigul+xi+hg/wtX6K6ncimuJJjwjjthwLCxMNNDj8VPUMZGC0\n+CN43zGTt+xzMShdZLX/HbG3HDE0B0EXevKAUJPS8F58DWpoBFLlMQSPVg9b7OlCt+MTpKP7URJS\nUKNHbwh9ptDrDGSn5zNj+lwidW7aaw7hFPQIg0iCCQioXpH25i6KDxRhrTqIKAvERMaf925MQRDI\nj9RxR66FdpfCwQ7tfaHHq/JGpZMD7V5mxeqJOAuKfWhSGDnL86j9tKb/PATwu31Y3z6KKIskzUwe\n8f861qEUQEGUjuI2j4ZN+mmTm6vSTKMyWv9Pwxjj4sJj1apVM4BG4PHCwsLg8SrgR4BcWFi46jRz\nPAZUFxYW/u1cHdfp8pm16w+zwZDQvz3PYMWnyiQlTTujTt3Nh96luTMgLTMt+yJ6P/JSv6uufyw2\nw8a0a6pAF4Fh/HcGfT6ofg/uo0+CEnjO6TLvQgrNGvGxDAVVVXGX/BrVFehmF0NzMMTfjOnZnyAE\nmUirBhOuB38Ng8RXrUdb2fKzjZqxS//3ciLSR7YQ+8cSO385ppW6fHTa6Nnvg6HR4eeatW0amUSD\nBG9eHkNukEzNyedMbGwc0zZswlBVTnmkUdMM4RXsOEQ7HiWNPKUamxiqWcCX0BGixAMqbqEbBPAK\nDuxiM93drRTkDu5Zdz5gtVqprg6waiwWC5fs+xCpK8DASJ6Sz3Url1Gxcz9lFm3cdNyXwL9655On\nrydD1+fTIQt+LjYdZqHJyk5XTj/7wqPAuno3GxpcTI/Rk2CWyR1XQIQlmrL6Q6hBTW8RQjuZHGHF\n5KlkRml9Q4IRnRtD7lV5NBY3YG8KasBSBZqskdQeiiE+txNTaFBu6qjF2/Axoike0XIOZGYNRnyz\nlyKV7EMM+t4kJ+gbFFxpEpJZJX16EzUH4nD3Bs6n9tJ2WkLzyVw5C/noPoSghlaxpQF5xyco6bmo\nsYmcbxgkgWvzo4g7uIWN/liUIIZyq0vhpTI7UQaJqdE6JJ1E2qJ0jr5Zgt99ouilQtXGSnKvysMQ\nNvw9UZIkRFGkri5w3zs11rPgJVPtYL+QhF8QKbX5WF3hIDdcR3b4WeTysg5/Rh7y1rX9krchipvZ\nPRW8ELsAjypw6bgL0yA0Fq+OYTiMnR9jOFOMmXOPAKMpXPxsZxtthPRvz95VSmptG1EpPcy83qrZ\n1zD++4iGc3vxrjrcy5qqQMFAFOChKaH8slhrXlw4KYQv54xOrsNX+xbr9ldoihYAl5TvJN2mpbm6\n73kYZcL0UX3ehYbQ0dqn89kbKBaogojr279AyZpwQW/Af7PaeXCnVjM0TC/w9hWxo9bIvNDwuby8\nfdcbdASZ2QIs/PESJt406Zx9jijLRORNw5RzA81Hwd9ThcF8SvfSCRNvnWsjjds2ERsxncXXfBmj\nwU5tcwWqohsggdNn5G2gq9PH3v07qGo4wKL7v0HsHfewsbKTxhonEYobozSwW18SVeJ1dvK9Tdjf\neJvitz6hU9Yx45bvMX3WCgr04Zhrrdg8LlyDMAIA3JJIraSyr72Cg3vewH5gLWb8mONyP5dFDJ0k\nsTg7hf8qiCbaUU5Np4N2Bt6bVEGkQQ3j3WYTr+yvprn5ODOSYzHo+gJ9SS8RX5DA5NunkLIgjXaf\nyqo5k/HpAolARmUzl35yAFenk5qt1ex/vojWIy3oLHrCU8MRgszyQgxGJqZNQkq6gj+3zWRXh44k\nuZ1wcYhOKm8XSmcxvtq38HcdAVTSYpO5NTeCpUkGmhx+jg9SwLApFtY7p/BK70JcjkayWv6EwdeG\nFJqDIJ1INkQJJWsC3iVX9W1WWTWLLABiezO6LR8gVh5DSU5HDT83shpnisj4FCbNWMS03mY8R7fQ\nYdChSKbBDb0R8TpV6qob2HdwF7VNFUSERxBqOb8mjiZZYHmqiXnxena2eDSFfoDybh9/tzoQBZgR\no0c6QxNFQ7iR/Osn0FXVSUeZ9j5Xt72GtmOtpC3JQDacPkkdC/QDEASBixINvFxm79et9quwt9XD\n7TlmpDHJKGCscPFZoLCwcFNhYeEbwUULgFWrVkUCDwOVhYWFfxlujuDCRV5enrBq1SpLYWHh0MZJ\nI8Dp8pl/brJSZAksHi43F3HYk8ry/BxywkcWW/oVH29vfwGfP3Col029kT0/3athQU6/tpKY9B50\nqdcjR80YdC5f80b8zUFFATkEw/jvIYijb87xd+zDV/2qZsww4fuYXnsVqaZMM+5ZeQ9K3pRB59ny\nsw20B8WvcQXxLPjhohEVow93eLl7UwdBClHMi9fz7ILIcy555/KprPy4jbJubdzxfwsjueyUhcyT\nz5kYxYPxhSfJ6nKR3OOhJNqEP+j55xfcOMRWekgh2duNpFNOkY4SMKoRGNUI3IINRfChCgrtjiaK\nD2wgMmIcsRHnzo9hMASbcp9EQUw4mZ++r9nP9Y2fYEoZx/VzM4jcvp2dYhgeMXDOO1Qjb9rnYVMs\nzDMeQz5hOp0st3N76FZ6FCP7PemcFAVqcCj8vdSOw6syJ15Pamw6WYkTKarcrynEmQQnTY07iY1I\nJjZ86IV7Y7iR8Ssn4vf4adyrZdw6ugyUbk1CZ/QTmxFk3K248bdsRemtQoqcjCCN0gdNb8A3ZymS\n9QBiR4CFIDnBUKfgTpGQQxXSp7VQVRSHxxFUDCvvoNkZRfp3bkJ3ZHe/iTSA4HIif9rHSFFyJ593\nuVNBEJg+IY1lHz7DRn0qXbpAjuFT4aM6F4c7vCxNMhAZbSZmfCzWt48G9nH5aNhdz/gVExDl4Zsk\noqKiKCsrw+sN3A/DwsJwuwPnQDhuxmHjgJCIKgjYfSr/Ou6k0eFnYaIB/RkqYajRcQiKgmQ90D+W\n6m4nxO/mN4zntmzLBZGSHotXxzAcxs6PMZwpxqSiRoCzlYpq6+0l/58d+IK6iL75+/eJa+1m0b0l\n5C4IBB5ixGRM058Y/cEGocnhZ+YbzfQGOXLfmWtmS6Nb0/GbFSax7dp4TPIoJKLs1Xzw3tM0dk/U\njOc3V7CsbKdmzLtwGe57f3DWn/WZwOnA9MsHkGq05nLuLxfivXwFcOEob6+U2fnmti6NdbDxRMfU\n/ITPl+yWqqh8+K13KXu/VDM+6ctTuPjxS89rx7Xf56V+7Wr0jncIjekZcr/OphjU6OtIvvR6Wlor\n+WjD2zjtxkF9ME5CwYeo7+2XkepqaaL4kZ+T29NMjrEdURj6luJXBI65Y6kIjWXaY48SmZKM3+eh\nZuvzHLRu54is4hyiiBGMOJeXyYZwJs2+npiJl592/39nfFxSyrNF7ezyJOE51QcjCKGqiyWWRn5w\nUSaTkpM0r927uYN/HQ8krrLXxzf+8CHRHYPLh4UkhDB+5SQm3jyJ8NSBnXC1vT6e2m/DWnuA6807\nuMqyl7ChihgnIeiQomchxy9GiplDUYfIM4d6eK/aNaQVuElwc0vINu6J2EZu9sXoUq4LFDBOTtve\n3Gfgvf1jTSdbMLxzL8Fz/d2oCQMlHS4UhK529C89S8vRvWxJy6EhIg1xGFkwABUV0eAjLTOVedMX\nE2I+vzJADp/Cr4p7WHWkV7OYdBK54TJPzotgUeKZ32tVVaXoT3v49FdbURXt5JFZUVz1p2uJyhk+\ngB+jVg/EG8cd3LNZy4J6aEooP54eNsQ7vlgYk4r690FeXt6PgZ8D37Farb89zb4qcIQ+r4wbAAvQ\nQ5/U1CNWq7X+TD9/qHzm5H3lkbcq+SQ2EMc/G/1nftm1khdmGIkeoWpRQ9dxPjnySv+2QTaxhNvY\n96Pd/WOy3s9tz2xBZ1JpTnwMRR6cnRDT/BR6T2X/dm/IUrojbxjZgQwHVSG2+dfovIGv0GXMx+m7\niry//kJTVvcZTBz+7m9Q5YGFm97aHrZ8dYPGl23Gz2YTv+D0neMuP3zlgJEKRyCeC5FUXpnmItF4\nbvNmVYXHSvV80KqNn+5I9vJAxtC1sHEfvkzsvk3929VJiTxXEEev+xRPeBXClTRifDEkym3UKCkD\n5lLw0yVW0is29Qv+i6pMgimZJQW3IuvOD1O8u7uboqIizdjtx3cQ23C8f7szfzpVK+/X7FN9pIHH\nK2WKI9IHzJkn1/NMzF8pMGiNt/e4c/hO291U+bTFmCSDwg+zPcyKULhpt4e53ldJELRm1wATkuYy\nPW0pojj8Ynjr7mYOPlmMu8M94LWkCe0s+moJIdHa1/yihe6IlTjNM0YtIyq6XWS+9iyhNdrczW+G\nzkv1+CNFelqNvP/rGfS2aYslMTNimfNQLtkfPE9IrbZACNCTPp6q6+7FF3L+n9+GtkYS/v40D6Tf\nxur4+QNej9Mr/CzXw8wIhfKXrZS+cEzzevKXUih4aNppc9WGhgZKS7XfVVhYGN3dWtWEIiGJ1eIU\n1KD5ko0Kj+V4mBp+RnZGoChkrf4tYcdLNMM3T3gApWA6j2aPqgY+hjGMYQznDUPluGNSUSPA2TIu\n/vTpATbaAp2iEZ29XLLhEOYwN4vvOYoQZOSrz/kvRMvAQG80eGhHF0XtgQdThF5gYqSOjQ2BjicB\nePmSaDLCRiERpfj44L3f0NiVqxmPcHRxfek2xKBOYCUpDde3fw6DJAD/tvD7MK76KXLpQc2w57IV\neK//Sv/2hagc/+u4g/tPKVroRXj10mgWXUDDrXOFHU9s49DL2u81dWEaX3pmOeJpfB5GC1GUCM+d\nginvepqPyXg7qzFaBiYBphAHJqmIzn3v4qqH+cvvZnLBZGobi+hxeJAYeC4Hy0jt2r8JW08Ni7/1\nIO0zZ7PbptJc6ybc58EkD2RhiALE6ezkKa1IH73HkX+u5fCuvUy44wEmzb+ZuflLGdfWZ9LcKaLp\nfguGXZaoFLzsajiEdcfruEo2YJZlLHHZo//yLjCyYqO5rSCFm1MVupvKaHDpcAoDV1E8gkypN5K/\nlyt8dMiKwdPO+IQY1tV7BnjBFMYozHHZ6arqGrCIDODp9dCwu479LxRRv7sOURaJSI9EPFE0CteL\nXJFqZkF6Cm91T+F71Ysp8YzDKHhJlVuHKE4pqI5a/K3b8Na+Rbxayw2Zodw4IR2XX+Rol5dTD8WH\nzH5PJi90L+JwczvRza+QbPQihmYgnOxKM4fgn7EQ/7QFCG1Ng/pfSHWV6DasQexs6zPwNocM2Oe8\nw2jGP3sJluQMpuxYz7xjezG7Wmgzibhky5BSUvglutp6OXjoAEfKi3D7HMTHJCGdJrk/G+hEgaXJ\nRpanmjjS4aXeoe1ObXcrvFru4Hi3j1lxekJ0I79PCYJA0sxkEmcmU7WxEp8rcP27Op0cfeMIocnh\nxOTHDjnHWIfSQEyI1GHt8nGsK/B97mj2MCNWT9YoYpv/FIwxLv49kJeXtwz4I7AfuL+wsHAg5S4I\nJxgXscBB4HHgDUAB7gRuXLVq1YuFhYWOoWcYiKHymZP3lefrRDp0geLwbaFbWOddzD2pwx6qBkfq\nd9Le29i/nREzEcebfuw1gSaB7HlNZM5uwWWaijNk4IIhgOypI6z7Pc1YZ9QdqNLo2OEAJsdeLPZt\nmrGOqLtJf+NF9L1aNnP9JStxpAweN5X8/jA9lYHYIjQzjPH3TxpR080zlTq2dmrvTz/NPYsFyhHg\n5XqZlxq0ser8SD//neNhKAKh3Gsj7Z3nNX5+tiU3kjB5GbVl5bh1WmlXt2jDKTpxK2nk+GtwyGb8\nqhy0i4hJjUKvhuIWbKiCH1VQ6PHZOF5fDIJhWMbB2aKyspLe3sC5lyDBnMMBI3UVgaoV9+GzaBfK\nI+JC+VKKHrnoIMUhiZrF5HYljNW9F+FSdcw2lgWxLzq4PXQLXlWk2J2BcoKh3eMX+LBVZq9NpNRp\nxspULPQQKzRqPrO1p45GWxWJERno5aFzOktyCOMuT8HRaKe3Rtt809NqpnRrEpYoN5HjevtrFKLq\nxeQ8gOypw2PMRhXPPmdUZZnOCTMxN1Ri6AqYV4teMB73440VkeP9pM9ooeZADG57IF53NDpoL3ei\n/+YNSBJYass1hUJDVxtRh3biSEjFEzl0LHQu4DeHosbEcc/m35PpbGF95CQNy8buF/igRcLpF1g6\nPwLHcRv22sD33VPRjT5cT0T+8LJwFouF5uZmjceKxWJBkiQ8nsCaTCI9GPFhFWL6i0s9PoH3WiRc\nisC0MIURky8Ege6sSUQe2YPkDjRVXdFxgCdMs5iZZCbsc7QUM4YxjOGLg6Fy3DHGxQhwtoyLq17a\nwTZvQJ9/9u5SrvxgH9Ovq2D6tYEOIsGYiGnec4Mu2pwt9rZ6uPS9Vs3YNydY+L8Su2bR++vjLfx6\n7tC6miPBB+8/TX2DdhFM8nu4u2wLoW0BiShVp8f52B9RxmWO6vMuKFQV/Yu/Rb9+jWbYN3V+XwEm\naOHsfHfCvl3l5KunUMp1Irx4cRRXpIyS/vsZ4OBL+9n4o080Y1E50dz05m0Ywi48c0RRFBo3vYfS\n8AZRSc1D7ue26+jqnkXc4q9gTEhi69bXOXa8HkkJG1T+5iT8eNAZ7ORnTmDBRVfh6Opk58M/Ibur\niTxDG5I4/G2m1WXhiBiDa9ZULvred/uOpbuF8k1/4lDdMaxGCd8IJGzinV7G60PIL7iExOkrEaXP\nnxa81+/j91uKeLVaxqoOLzOQgI0ewYxdDUToBVE6NlwdiywKONrsHHuzhCOvHaKjvGPYuQzhRvKu\nzWf8ionET0nQLE5U9/j47aFeXiqzE4aNay27WWnZMaAjb1DIFuSY+dgiFvL44Wj+1WTA7h/6t5yq\nP859sUVcN2U2xri5AxZJxGP7Mbz+HFL54UHfr0oyvkXL8Vx9+2figQGA24X+vZfRvf8qgt+HWxTZ\nlppOSVwmXn3sAEm2U6EIXkIiDUwcX8Dk/OnnpYihqCovlTn46V4bne6B12eILPDQlFDunxiC4Qyp\n/N21Nt7/r3doOTzwXjPx5sks/tnF6EwDs8oxxsXgaHf5mb+mhWZnkH64XmDzNXGkhX6xixdjjIvP\nHnl5eXcCzwFVwGKr1do4/DsgLy/vCqDVarXuO2X8F/T5ZPyv1Wp95EyOY7h8xuv2kPxyAx4hcN/5\na8zveD/0Bzy/ZGRSg4qq8OQ/v0uPM9CRf+O0b7D5hk9RfIFr8+pH9xCfY8M4/UmkiMElQd3Hfouv\n4cP+bTFyGqZp/29ExzEcVMWDc+fXNN4WUvwSQmwzMP7pce2+llDsz/wL9ANj0pbDzbx65YuasWW/\nv4rcq/JPewzr6lzcuE4rG3hzlmlYg+azxce1Lm5Z365pisgJl1l3ZeyQvk1lZWUkrf8X8Ts+6h9T\nouNx/Ppl7B1u/rb0L9jm1OFc1DrgvZKqJ9qfR7wPLHonDf6EAfso+OiUKrELzf3sC0EViTfEcsd1\nPybMfG667Qcz5b7m+G6yGgKd/t75l+G+70fDzvPxGzt4qNlMjWmgQX2uXM9TMS8wzVCpGS/3jeN7\nrXewzzNUs5DK1+L2YW5bg6Jqi1Umg4UVF32dvJSpwx6Xqqoce6uETT9ZP8C4GyBtWgvz7ziGJfKU\n12QL+qyvIictCzTAnCHKysoQfF4mfbIaee8WzWuqCLaFOtzpEo4uPR88MZ2uU9YJEqcnce3fV2Cu\nPojhT48j9mhZPKog4F1+K54b7j7vzY66t/+B4c3nKTfFc/v4b7I3bKCHzvgImd9ND6HkK6vpOh5g\neAqiwFV/vpbMy4ZvCisvL2fjRq0XzuLFiykuLh7AvNhnzGW1N2sAM2ZChMyqiyKZHjtC+hsgVhzF\n9Hghgj9wDZSYk3hy5RP87pLkEc9zNhiLV8cwHMbOjzGcKcYYFyPA2TAu/H4/Pypy4w5KAJZuPERc\nt42L7z+CrA90L+kzbkcKn3BOjhX6Flvu2NBBoyMQCOWHS5R1++lwB8ZSQyT+cXHUGWsnBuPDdS9S\nX6sNelQUVnaVElt9iqzSXd/FXzDnrD/rs4Duo39heEebmPjTcnF975eg0yYy57MT9oMaJ3dv1BYt\nJAFeWBrFlamfv6JF6bvHWPf9tZoxU4yZlatvxhI3+m66s4EgCIRl5BFecD2dTeOwVdViCbMN2E/W\nK4SE1qI0v0fT9iJS0hazePmNhIUp1DRZ8fkkRAYuoopIqH4TLW097N6/EVt3DYu/8V2ib72Nnb0C\nx0tthPk8mOXB6bsW2Uu6ZCO72Urjq2sofvsT7CEhTLrma0yatYI5aTOJayhD7WqnQxI13WHBsOsk\nqkQ/e1vLOLDnDbqK3kfX20Jo8kRE6fOxwCeJInMzkvna1ERmm1pobmmg0WfBP0jxtxcj3qDfQ0Dl\n1YsjSQ7puzfrzHoSZyRTcOdUUhemA9BV2YniHdj16Hf7aD7QxJHVh7C+fQy3zUVoUijGcCMRBpEv\npRj5co6FHsXAS02p/K1nMe85ZmJTzMRLNiIl+4A5AVC8KL3H0bdtZIm8hbviGylIjKG4J5yegaQc\nmvyRvN8zgVeO++lt2EBOiA9LSKCQosYk4Fu0DH9GPmJ9FWK3VkZHUBWkKiu6T95C7GpHSckC8wW+\n7mQZ/4Tp+GYvQWyoRt/SQGZXJ3Pqj5PTWk6X3ofNaARh8K5AAQmvU6Whtol9+3dTXluCrJOIiog9\nZxJzgiAwJVrPHTlmujwKB9q116ZHgU2Nbt447iA1RCI7TB7xZxvCjYxfMYHepl7aSrSLP61HWqj4\nqJzkOeMwx2h/lzHGxeAwyyJTovW8VuHob85w+WFns4dbsszIZ+hL8p+EMcbFZ4u8vLz/Bn4HFAOX\nWq3WoTsjglBYWFheWFg4oMCxatWqY8CDgPF0PhmnYrh8xlpUwZ9bA/fbaLGbSfpaklLmMjtuZAtl\nta0V7Dj6cf+2XjaSXj6F2q01/WPhiXZm3ViOFJqBLvPuQe+Zqrcb99GnQA3KlbLvRbSkDtj3TOGr\nexd/y+bAgCBhzH4I07OPa3T3ATw3fR0lt2DQedY9tBZbdWCxNTo/hsWPXazxxhoMjQ4/Kz5uxxEk\n45sWIvHqpdFnXAA/HQ62e7hpXTtBqR9heoF3r4ghyTJ0vNdTCBGIrAAAIABJREFUVUH6288jKIHv\n37PyXpTsiWx+bAPNxU3oK0OQ68x4c3pRdUFG5oIfu9CCWzTi8SeQSxXdYgiKJg4TMavRGNRw3EIP\niuADQaXXb2ffkY00NtcxKXvWqP//U025QwSFi49s6W8xUg1GXN9+HEzDxz9ZE1K4KUlH3Y4ijlq0\nzTIn2RcO1cAsQxm6E+yLKLGbW0O3ESfZ2OPOxq2eeg0J3Dwpn5umTKO8/jBub6Ar3uf3crByJ16f\nh4yEfMQhiguCIBA7Po68a8fTVtJCd512AdzWZKF0SxKGEC/RaT1B3hde/O278XfsQwrLRdCPzEg+\nGB0dHSBKhH/peujtRqoMyCgJKhiqFRQDCCkqGbOaqT8SjbM7kDf3NvZQ82k1WV9ZAkuXIVVZEYOa\nHQVAKjuEdGAn/twCCBtdk+VwUHInI9YdJ6amhDubtuAVJLaH52gKB20uhVerXORclYdlwzFUz4lr\nQ4XjH5eTelEaIYlDS5lGRkZSV1eH3R7IA9rb27n88supqqrSFNeSfO3MiNWzzan9n1tdCi+WObB7\nVebGG9CNIK5Ro2JRQ8KRDwRku2O9PTgbG1FmLSLGdP6a18bi1TEMh7HzYwxnijFz7hHgbAoXa0tK\neSWou0Dn9XHV+3vJm1dP1pygnEUyY5jwfQTx3HUTvFLu4K/HtOzxixKNbG/Wdlz8Y2kUuaMwcv5w\n45vUHdd6A6goXC53kr1HS8H2zrkY78p7R62reSEh7d2K4flfa3rolag4XI88DSEDzWLP1w34kzoX\nd2zowBtUtBAFeG5RJNdlmM/pZ10IVG+u5INvvIsaVIWRDDLX/WPFsBIpFxIhKelETLmaHvsEOo7V\nY7K0D/CKE0WwhLehc22k+dN1yK4oLrrqK0wYn09dYzE9LvegPhh9Zt5GursV9h3Yw6GSLWTOmsrU\n/yrEt+w61m0qwdEjEIkLWRxcMiBC5yJb7CDh8C6Or36Pog83EjpjJtkX3UjBrBXMTppIdH0Zvu5O\numRxyOvOJfcZexd31bC36G069ryN0HacsKTxSLrPR0EsIyaKWwpSuC0deptLaXDKOIThGDsCH5S2\ncOT4MfKiDUSH9N2nBUEgNCmMrMuzmfKV6YSnhuNsd9DbNLgHhqvLRd2OWva/UETN1ir8Hj9hqeFE\nhem5dJyRO3PNSAJsbjWx0TGe53su4RPnFHoVI0lyB6Gia9B5RdWD0VtLnnsTX4vcxg2J3bhViRJH\nJOopLIRe1cQ2exp/KddTUb2HcSYvCREnOgIFATUhBd+Sq1GSUhFrKxDs2vu1oCpIlVZ069cg2DpQ\nUjJPm8Cfc4SG41twOUpiKmLZYQS3E7PPx4S2FubVlhLV20CrERwGCwKDL7QISHjsfmoq69h3cBfV\njeVYzGYiws5N96pZFlmWauLiZAPF7V5anNrrssuj8kalk90tHqbG6IgxjiwRFGWJzMuzMcdaqP20\nWnNPdHY4KfnnEcwxZmInxfUv7o0F+kMjLVTGKAlsaghI/jU5FVpcfpZ9Dgv85wpjhYvPDnl5ec8A\njwDvAFdZrdau07zltFi1apUL+DFgLywsXHUm7x0un9m64RBvK4H7yiR9DRIKXxpfwLiQkTU17Cj5\nmNrWQNNS/rhpNP6+E3dX4Hk3ZXkVCTk2dJl3IYUN3mnprX0LpSNANBEMMejzvnXW3eEnofrsuA4/\nrjFHlsddjWVLOXKJhtiCEhLe14kvD/zfa7ZVs/Op7Zqxy564gqis4Z85PkXl/7N3noFxVPfa/83M\n9pVWvctqVnOTe+8NGww2vfcEQkh8E1IghfQQcpMAuXmdCoGE3mJsDLYxtnHv3ZYsWVbvvW7fmXk/\nCLwa70qWbENC0PNtzszOnpmdPfOvz3Pb5haKOvxBSkmANxZHkXGZeVtq7TLLNzbT0qtbUBTg5QVR\nTIrtv6vZ/PqfsNaVn9tWwiJwP/B9Ggta+Ohxf6e01Gpk7uJleOLtdNh7dZB8TB3lFjrpVlOJkbux\n6h04VK3PosNEiNLTkeEWukAAGR+N3dUcOb4FSRdKcmzqRV1/MFHu8VWnSOnw++Ce6+5DHjdtQOez\n2CysmJVF+vFDHHZJdOv87xQVgUPuLN63T2S0oYIknb9YZKyxgttC91DjC6fImwS9vMrNNW5KXaE8\nMG0BHmctLZ3anGZlYzGldQUMTxiNydC3v2e0GRlx/SiMYSaq91VpbAnZJ1F5LIb6onDis9sxWv3P\nnupu7ulqkh2IYaMGJXp/zhaJjkbOm4qqN6Ar8GuJCICxRkGQVdQ0lfQpDdSejsDR7k+O2hvslH5Y\nQvqy0UhLrwZAPHNC43eLHa3od6wHsxUlI/fTiSMIAr68aUhHdqPvamNhez6zOor4KHwUnTr/fVeA\n/Z0qdXNzic+vxmrvWUcUn0LpprMMX5qFKTy4rSEIAjExMRQW+hM8Ho8HvV7PlClTKCkpQelFrW2x\nN3HrcDOHPOF09QoAqMD+Rg9ryh2MidQzbABrs5KeA421SFV+XZfR9mo2tOoZPWXsQO/SoDFkrw6h\nPww9H0MYLIYSFwPAxSQu/ndHIQUefwVDZkkd446XMfeBfMw2f9WmLnk5upiBGU0DQadH4Y6trdh7\nVfLMjDOwuUbL3X9PtoWHRl28yOmGj9ZQfbZZM6aiMDXSzsStmxB661rEJeN65FegH3hr478bYkkB\n5v/7oaa1UjVZcD32NGpc8NbKT2MB3lTl4s6PWvD0ipMJwJ9nR3DT8M9f0qLucC1r71uN7PZXcQmS\nwLK/riBl5sU5J58mLLEJRIxbitcwi8b8FvRiAzpDYDLBHGrHrDtO16k1tOXXM37GzcyctwS3u4qG\ntlpURR+U+kZEh+ozUVnZxP6j26lrKGDug18n4Y47qcwex/69ZahOiJCcQXmIRUElRu8gR23GtGUj\np9/cyInN24lbsIiMqdcxbvINTIzOIKr2LEpXB+39dGJ4JJFaHZzobmDf8fU07l+NUptPaGwGenNg\nou4/DTaziStzU/hqXjgR3WepbXfQrFqDOjkOwUi+O4Lnz/hYf+IMzs46xiXHIok9v5FkkIgdE8fo\nW/PIWpaNZJDoqGjH5wzS/kBP5Vj51lKO/v0wjScbECWBxIwIFqRYuC/XilUnUNDmo9wTxg7XaJ7r\nWsQO1yicioFkXQtWMVBbBQDZSYTnLIsNu/l61HamhtTT6pGo9UUi96pelJE45YrlH2VGtp0twiq6\nyYwKRxIEEASU5Ay881egxMQjVpciOLTJGEFRkMoKezowWhpRElPgMxBG9E/g4znOXQayD7Gs8JzI\neLTTyfiGGqZUngbRTktUGB5F6pNKSlAlnF1eSorLOHxyHzVNFYSHRVwWUe8kq467sy1Em0QONnlw\nnUf7Xt4l80KRnRaXwsRoPWbdhYNsgiAQlxdP+sLhVO+rwtXmD7KoskLZ5hLaSlpJmZ2GzqgbMvQv\ngKmxBk61einuFRg83uIlySoxdqDqwv9lGEpc/HvwcafF94EXgDuLiooCuVz6/uyYVatWXbdq1aqm\nlStXalo/V61alQt8DTi6cuXKl4KfITj682fe33KKHWa/xsBs02kq5Ti+PilzYJW9qsp7+17E6fFX\nFI/1zaXiTX+3hahTmPdAPjqrBeOIbwcNlKqKB0/+r0H2Jzv0abehixhzwTlcCN7yN1BaD/oHJDMW\n222YXvi/AKJPz/X3o+QGUvWoisqGr63D3ui/zqRpycz47qwLdtw9caSTN0udmrHvjw/l5uGXt2Cg\n26tw7QctlHRqX1L/OzXsgr6DWFmC7bU/au6H+7aHkYePZMPX36Orxl/VH5kZydLfXMP4rFmoqkJF\ng1ZsWRbc2MUGXKINrxxNtlBOhxCqKcIQEDCp4ViUaLyCHVnosYfceCiuOUZ+wS7SkvOwmgeny9Xc\n3MzRo0f936OqLC3ag1Hu8cGVmETcX/kBDLLTePS4dG6JE6jbf5SC87ov2tRQ3uieSb0cziRjCWax\n57vMgpurrYeZZDzLCU8arYrfHinp9PHSWQ+ZKVOZkRBOTWMBai9S5w57K0eLdxJmjSQuIrnPZ0wQ\nBBImJJK5NJvGkw0BRTfdzWYKdyQh6RViMjp6mcYqSsdpfPVbEczxA9bb1NgigoCSnYcSk4B0fO85\n+w3A0Kii6xSR01UypjVQVxSBvc2fvHC1OTmzrohhs9IwzZ2NkjUGKf8IgstfgCkoMroT+xHPFiCP\nnADmT8H/1euRx0xCv3sTgtdDuquJe+u3U2+O5vh596RZETg6ORPR4yO5ugUB8Dl9lH9URvbyXPSW\n4ElIi8WCx+OhsbHx3FhjYyMjR45k+PDhlJaWapIXztYGvpwbgmyL4VSb1v9oc6u8ctZBi0theryh\n/24tQUAeMwX7gV2Y7f7c+ZjaExQn5xGRePm1ZWAoMD2E/jH0fAxhsBhKXAwAF5O4+Mn+Ntrxv1in\n7S1iSvhZ8q6s7HWUiHHUYwj6yyeS+sSRTrb2qjY0iCADHR6/EZFslXhl4cW3JK/f+g41JYFJi9Gx\n9czddQyx22/UqgYTrsd+hxrVPw/9fxLE6jLMv/m2xmhSRRHXN55AyQrOxQuXfwFeV+Hkno9aNUkL\ngD/MDOeOrH8PndKloLmoiXfueBtvt9Z3X/LMVWRdlfNvmtXAYAgLJyJvHlLi1dTnu1EcNRgtgTEI\nvclHSEgFSsN71O7aR2z0OOYsu5201Fiq6k7gcPuCinkDSBhx2kVOnDrBkZPbMIQITH/4EcJvuZWD\nbgNnCtswuhVs+uBBbr2kkKjrIsfXgLj+XYreWM/xzduJn3MFmTNvZNzkG5iSOIa4+jKE9lbaRVD6\nCEbIokCDXiTf1cqe01so3/sWzqIdmCUJS2wg9+t/EiRRZHJqIo2qld0N/ceJVEGgQQ1lS1sozx1r\n4ljxaVJDRRLC/EF7S5SF1LnpjLt/IjGjYlG8Ch2VwQW9VUWlraSV4vfPcPzFo3RUtBMWbmLphBge\nGGkl3iJR1O6jwwO1chRbXXk827mY/e5sPKqOZF3zOUc34LpUN6lCJdeH7OOh8M3k6qtQVIEaOQpf\nr06Eak8oa6t1vFhQT6eji+ERodgMIogiSmoW3gXXokTHIVYFSWCoClLFGfSb1yDWV6HGJaOGDZ5C\n4KKhNyCPmYxvynzEpjrEhupzu0Qgpb2NyeVFjHe34RwxnDbBh+xR+05iKBL2dheFhWc4cmo/dS2V\nhNnCLymJIQoCE2MM3J1tweFTOdbi1ehGqcDhZi8vnLEjCjA2yjCgoJ81xsqIG0dhbwikjmo508KZ\ndUXEjonDa+pxXocM/eAQBIFFySbWVTg1uiRba10sTjIRb/n8afpcKoYSF589cnJy5tOTsFhDT9Ki\nX8XlnJyc3FWrVoWuXLmyHWDVqlULP/68beXKle/2PnbVqlVPA3nA71auXHloMPPqz595bccZTlj9\nAazl1gNUGSdy94hAXv9gaGirYsdJv5i2JOqI2p5B21l/9XnG5AayZtajT74GXXRw6lhf/UfIDVv9\nA5IJ08jHEKRLSzwq7hbcBb8G1R8A1A+7iZCX1iB2aPUm1BAbroceD8qtX/x+EcdfOKoZu2rVNYT2\nQxMDPd3Tj+zV0o/OSzTy+xnhiJexilxWVO75qDWgy/6hkVYeG3/hggTjs08iNdac21YSU3Hf9x3O\nbjjLkb9pH7crnrmKyOGRiIJIamwOlWfq6fA2ogq9q61UXGIbHqEbu5pGjNyFTd9Ft3qeNiJ6QtQ4\nJNWAW+jsOYegYlccHCncQVlFPqOHT0MaoC7b4cOHaWnx/67pbTWMrfd3A7keeAz1IjUXrWFWls/K\nIuvkEQ45Bbp6dV8gCJz0pPFG10yipC5G6qvOJQnS9E3cGbKdCNHOEfdw3B/7A7IK+xq9fNSWwNTs\nGRjsp/D6elFHKV4KKg/T1FFLRsJI9Lq+/wvmKAsjbxqNOcJMzf4qjbaMKovU5EdRdSKK6LQuLOG9\nnhHZjty4HaWrBNGWg6Dv/3kO5vMqKZko6bnojuzSFP7p2hWM9Xp8qQppMxtpLAmju9l/z7wOL0Vr\nTxM7Og7b5JF4Zy9FaK5HqinXfKfYWIt+50aU2ETUpLR+53dRCLGhpAxHt28LAmBSvKxoOshYnZ1t\nMeOw98oDKgiUDk/gbFYCSTUthNhduDtc1B6oJmfFCCR98Oc0Li6O4uJivF6/rd/a2sr48eNJSkoK\nSF40NdRxTZqFq/NS2dvgodOr9T2ONHt5q8RJdpiODFs/STidDmn0RDzbNmJQen4bCRXj8b2Ik2d/\nKsVKQ4HpIfSHoedjCIPFkDj3ADBYce6y5mYmvOvSVDY/8sxabrl/N8Py/EaUFDML05jHL9s8T7d5\nmb22kV7NFkyI1nOkWRsIW7MkinmJwXnDL4T3t6ymtvQ8Ax+F7JjTLC0W0Z06otnneuhH+KYvvKjv\n+ndAaKrD/MuViO3axIzrvu/gm3d1v5+9nCJDb5c6+MqONo2mBcDvpoXx5RGXL9H1WaGjsp23bnhN\nU6EGMPenCxh334R/06wuHoosU/vROpS6NUQl1fd7bGeTDZc4m/j5t1DR1EJJ2V6q6lsQ5NCgWhi9\n4cOJxeplxqRZZGX3OPnbf/EEtvwiRtFEpNHZ7+cB7F4Dhb4oasKjGf+j7xExrKdjyN3ZQMn2v3O6\n+jSF+h7aqIEg2uUjRzKSlT6BlJl3ozd/hpX5A0RBm5e57zbSW6ZiUqgdr72DU3I8cj90E4Kqkis2\nsizRzcMz8ogMCUwSutqdFK8/Q+HqAmoP1gQ5ixYhiaHkLM8l6+ocIkfGsqbcxe9PdpF/XgWVHh9z\nzPmssBxgqeVo350Yveei6tniGMMG50Q2O/LoOo+KQUJhaaLCl0fHMTfR6A+Q+Hzodm3EsO4lDa/w\n+fCNn4nnmjtQhl8+HaaBQjq+H+NrqxDrqoLul9NzaL3uHvZ0t1NeVoHsFC8o6g2AwUN8YiwT86aR\nGDew6sK+kN/q5fsHOthRF/y3SrZK/HCCjVuGmwccnDq9Op+PfrgZr+O8JJYAGTdnknVPLrmjLiwA\n+0VGfquXRe814ez1Ek0Jkdi+PJaIPgRp/1sxJM792SMnJ+cwMB74OtDYx2Hri4qKHB8frwJFRUVF\nuR9v64ANwCJgLbAekIDrPx7bDFxZVFQUvA2wD/Tnzyz//VZ2hPmLSH4f9Rz7wr7OX+YOLKiw9dg7\nfHRszbntzNA8Oh8VNIHTZY8dIiG3A/P05xHNgVW+qqriOvg1lG4/pYkueQXG7K8OaA79wV3wO3z1\nfpoj9GGEda/A9PrfAo+96QG8V98RMC57ZV5a+IJG2yLzyiyW/WVFv99dY5eZvbZRozMYbxbZuSKW\nmMvMMf/ovnb+dlpray8dZuKVBZFIF0iiS6cOYf7tdzRjzm/+CveIKby48Hm6emkopM1PZ8U/bji3\nffDgQY4dO4aMhxapGJeo1daCno7ICDkDqxJNllpJtS4BlxLojyr46BAr6RLregQTPoYVC7mp07h2\n/j39Xofdbuf111/XBICXF2xjeGuPveYbPRnXd35zWWiHWmpa+OHL+3k9NjjlzjRDIU9GvUy2QStX\n06GG8kTrdbzWPRvlPLslI1RkgWEbppaNAVMMtYRz3cwvk5V04Q6kjsp2tv7gQyp3VgTuFFRGzK9m\n0vUlGvqonn169CnXo0+9FUEXnPqoP59XLCvE9NT3AgS3FauR9jkqzggd258dRdlBbVGjIAks/PUV\njLp5DKgquj0fYnzp/xCcgfpw3inz8dz1P6i2y19co3//VYxvateFhqwJPDzte6ytCiwuEmWFmXtO\nM3d7PnqfTMbi4Sz76wpEKbitUVZWxubNmzVjc+bMIScnh4aGBjZs2KBJbABMmjSJ4aPG8tNDnTxf\nFFwv79o0M7+aEkaite815dSmrUx75eeasc6IBMSf//my64gMiS8PoT8MPR9DGCw+C3/mC5e4+NnG\nvTxT5xeQi21o54dr3ubGX+3VHGea+PRlE+VWVZVlG5o1FTbRRpFmt7bI60u5Vp6afnEvpve2/Iu6\n0lbt96KQHXmYRZ4sTBvf1+zzLL4Bz50rL+q7/h0QOloxP7ESsUEbiPSsuBvP9fdf8POXawF+pdjO\n13e1c/5D9/T0cO7P/fx1Wtgb7bx142saRw9g6jenM+2Rmf+mWV0+tJw6QseRN4iMOYXeKPd5nM8r\n0lCdhjtqNqOW30JLSxVbtq2htUNFr/b/u6qo+IRuoiP0LJx7LVHRw3DZ7ex+7EckNdUzSteEuQ9R\n795wePUUytFUh0WR9/h3iE5JA8Dr7KRi1z84XXqY04JMl2FgjrTRp5DpUciOSSFz2q3Yhn16XKkD\nhcOnsGhdEwXtfkcsziyy/7o4wo0iRfUNPL27mC0d0TQL/VeUGVUv4/T13Jhh4N5peeiDUAp0VLZT\ntLaQwncKaCtpDXIWLcJSwshclkPWVdmcjAzjT/l2TZfcJzAJHuaY8rnKcoSrrMewCo4gZ9PCo0rs\ndI1kg2MCmx1jaVK0FF8ZVpn7RkZwW6bFr8Pg86Lb9QGG915FbKrt89y+EePxXnkrct6Uz1aryOdF\nv3kNhjX/COq8AvjGTsNz84O0hIax78hOqitrUT06hADyj0Coeg9xCdGMz5tCSkL6RU1RVVXeq3Tx\n+IEOKrqDrwGjI/X8YpKN+UkDKxpoK2ll/dfW0Xy6KWBfSFooy/90HTGjYi9qvl8UvFni4MEd2uDZ\nFclGXl8UdVkrnP/TMZS4+OzxcSLiQkgvKioq73X8ucTFx2MmehIf9wMZ9FCsnwFeBv6vqKjowi/9\n89CfP5P31+NUGvzdFX+IepaO9G+zcszAOtRWrX2chjZ/knlixVIqnvfb02EJdm58Yi+6mKmY8oIX\nzcltx3EdfazXiIB52t8RLYkDmkNfkDsKcB3+lmbMGHsXYf/vZQSXtgBECY/G8ZuXwRi4Vh9/8Sjb\nfrTFPztJ4K4P7yOiH20Lr6JyzYZm9jX6/TNRgHeXRjMrvn+ticHiLwXdfG+/tqsjL1LP+quiCdFf\nIGGryJh/8iBSZcm5ITl3LM7v/Z4Df9zP3t/6tQtFncgdH9xDZGZPUqupqYm1a9fyib+vohISD6Wd\nh3F7A/W8zEokEfJwwmQP0fp2KpTgBQQe7LRLZbhErf8QJoQycfQy5k+8Mujndu/eTUFBwbltm6ub\n+w69i4iKKkk4fvk8auLlpadd99pOftpipcQayDCgw8dDtg/4Zth7mEVtJ0yhN4XvtdzOQXeg7zgq\n1E6e/RWi1fKAfVNzF3LFpFsw6Pp/hlRV5fS/8tnx8224OwJ/C1Oohyk3F5M1sy7AtBMMURgy70eK\nWxBAUXUhn1doqMH0+x8i1WrnrkoSndMMODNU9r+ZxakPAn+HqY/MYOo3piMIAkJzPaa/PYlUdDzw\n2kJsuO9YiW/6ostrl6oqxj//Av3+rZph75gpvLrix3z7QCftnsClNKqlk2vWHSS9vJExd45l/i8X\nBaX2UlWVTZs2UVnpZ+EwGo3cfPPNmEymfpMX48ePZ2edm//Z3UZZV6C9GaoX+MF4Gw+MsKILkqhU\nVZV3fvtH7s5/WzPuTh+B9/vPBF33LhZDgekh9Ieh52MIg8VQ4mIAGGziYtGL+zkkJ5/bnrWrgJ8m\nvs6I+X4DXrTlYJr4+wvyoQ4Ur5118NWdWgc9xiTS5PInLlJDJHZfG3th4zUI1m1+m/oy7flVFHIj\nDzLHlkPIy9qkhZw1Guf3ngnaZv0fCUc35ie/iVR5VjPsWXgtnru+MSCD6HIswM8X2vnWXq2BLgrw\n/z6n9FDONierb3szIPg29p7xzP1ZoCH8eYartZW6ra9iVrYTGt3V77FdzaE41RnEzr4Za2IShw9v\n5Mipk8gea59UUp9AQUaRukmKDWPB3BsJCY2g5nQ+Z363ipSuVnL0LZh0Fy7CdHj1FPmiqLZFMeKx\nbxCflQ2A7HVRve9VCgt3UyS7aDINnP832ekl2xRK1oi5JEy8Hkl/+QzggeJ/drfx4hltkP+f8yNZ\nkaatGpNlmZcOnOCVYg9HfQn4hP6TNWGqk6nmBu4dE8VVowOr3VVVpfFkA4XvFFD0biHO5gsnGj5J\nYkizMnhFtfBmqTOAGg56nN4ZpkJuCz/GYvMRzEpH4EFBcNSdzmbnWD50jCXfO4xPRCH1gsrVqWbu\nzrb6uzBkH7r9H6F/75WA9vzekJPS8C69paeT7jPULRI629Cv+Sf6besQ5EBnTRVEfLOX4llxN2p0\nPHVN1Rw8uof6miYE38Dmqeo8xMRHMiFvMqlJmYOeo8un8uzpbn53oktDz9gb8xON/HiijfHRF56T\nz+Vj15PbOf6PowH7RL3I1G/OYNJDUxAH2C31RcR39rbzXKE24fXImBB+Muk/X7fncmEocTGET9CX\nP9PdbmfY6lbUj7sRBRSeiHiFnMnfZOEAkq2tnQ08s/rRc9uCKpD23HS6qv220NRbzzBmSSXGsU+g\ni5oY9Dyu4z9Bbtl/bluKmYFpzI8HdnF9QFUVXIe+gdLl118QrGlE7ItCf2R34By+9Ci+OVcFjHvs\nHv4x5znNu330HWNZ+KvF/X7/Tw918PuTWlrGxyfY+M7YS9dd6o0NlU7u2NpKbxbLJIvE5mtiSBgA\nRZ5u10ZMz/5aM+b4yV/otCbz4ry/azoAx90/gbk/WQD02FLvvPMObW1+H9FisXDjjTfi9Haxetdz\nlNWfDvg+QZUIU1IIVRJJk6tpM4TTKQe/Jw6hhXapDJ/QK/CuQqQUzvypdzIuZ/K5YbvdzhtvvIHc\ny05YWLyfvIYe/85zxY147vj6Be/HxcDeYee3f9vKnyNG4w5CbZYotvDDyLdZYTkQ4Faud0ziibbr\nKfcFJj5GGUoZ63mXKEHbvBVli+f6WQ+QEnthe8XeaGfbT7Zwdv2ZoPvjstqYcVcRUcO6A/aJthEY\nsh9Csvk7sgbk8zrtmP7yBLpjewJ2OfIi6Rpr59TmFPbUa+FqAAAgAElEQVS9ng2q9oaMvHk0C361\nuIdySZHRb3gTw7/+rqGg+gS+sdNw3/st1MjLWMzhcWN66jF0hcc0w97pi6i48zEePdDJuxWBiSCA\nCYfPcsWHx5j74ESmf3tW0GO6urp46623NM9pTk4Oc+bMAegzeTFmzBimTp2KU1b51ZEu/lTQTRDm\nWvIi9TwzI5yJMYHP4dl2DwVP/pzb63dpxn0TZuFa+TMQL08X2FBgegj9Yej5GMJg8Vn4M18ojQu3\nx8vjx3x4BX+w78pdh7j25oOIul5iVZkPIIVcXHXn+WhzK9y2pQVHL46oZKtIvVMbAXtlYRSZYYNP\nJLz74Vs0lGuD6SoKIyIPMC0qDNvbRxC8/goSJSwC16NPg/XyGuWfGjxuzE99D6lUa1h7py7Ac/93\nQRxYUOhSufr+lN/No+dVSkkCPDsnglsyP39JC0eLg3dufysgaZGzYgQLf30FwgB43z9P0JnNRIyc\ngmXEjbRUx9BV0YA5pINgrERGiwertQSlYR11u3diE5OZvewuRo8eSWPzKTocXQiqPmjFuICIqJqw\nd8OJUyc4dGIbXrWDWQ8/Quxtt1M1ciJ791XgtEuECy50YnBqbb2kkKDvJkdpwrJ1A2VvvMeJ9z6k\nS1DIWXoHmRNXMHXSDYw12IhsrETt7qKjH3FvgE69RJng43BzCQeOrKX+wGpcZfsxm0IxRyb3+bnL\nhTdKHDxxRJs0uinDzHfGhgYkyURRZNywBO4em8wtw2ScTWdpdAl0EzxI4xb0lPjC+VetkX8eq+Zk\naREpIRLxH+thCIJASFwIafPSGf+liSRMSAAVOiraNVQZmnN2uKk7VEPN6lNkHCrlnhiIscqcNZhx\nKf75KohU+GJ5vzuPVe2LOeQdRZItlHhdO6LSd4IkQdfOTFMhd4Vu59aQXaTrG1BVgWpfFKfaVd4o\ncfLaWQfdXoX0MAPW4Zn45i9HTstCbKwNoMwDELva0R3djW77++DzoSSng+HyVo0GhdGMPHYavqkL\nENtbEGu11AcCKlJFMfotaxA6WrGOmEDO6MlMHD+FmIQIOt3N2B3dCErfDpmgSDg6PZQUl3PoxD4q\naovRGXRE2KIGlGTViQJT44zck23Bp8LxFk8A3V95l8w/zzg41eolJ1xPbD80IaJOJG1+BomTk6je\nW4Wnlz6QqqhU76mkcmc5SVOSMUcEp3P4omNuopFttS5qHf7/4L5GD5FGMahD/9+IIY2LIXyCvvyZ\n43sKebHDb2cmSy3ESp1ckzeB0AEUOx0s2kZpnb/CPbllBI7N/gCjpJOZ+0A++ohkDJkPBl1PFXsV\nnuI/a8aMud9ANF1aMNJX9wG+2vWasRBlGab1awOOlZPT8dz7LYIZbof+vJ/yLb0orMw6rv7LCgwh\nfa8jH1S5+M4+rV2/MMnIMzPCL2vhzuEmD7dt0WrihegE1iyNZnh/vPefwOPG9IcfITj99kTbyMmI\n19zOtp9uoeG4nxLVFG5i2V+WozP1+JOHDx+mvLxcc7oFCxYQFRWFyWBh7PAZWE2hlNcXoqi9ig4E\nFZfYjlNsxSEkgM9MplBBpxCCch6Nqh4LIUo8IhIeoftj/Qtwqi4Kqw5xKn8ncTFZhIdGcOjQIRoa\n/PSXoS47V5zdh4iKEhreE5j9lGwWg8nAvJk5LPU0UFpUToVFqw/TpVpY75jEducocgw1JOj8vnWW\nvpZ7bduIljo57k7Dqfrn2CRHcIqptBNFFPWYhJ4uIae7m6PFO7G7ukiNy0Yn9e3jG6wGsq/OIX58\nAvXH6nC3a4Pu9lYzRdsTcdv1xGZ0oDP00sZwN+Or3YjqrEcMzUTQWQfm8+oN+KbOB0VGOnNCu6vB\nibErBtuMRiJS7FQejUZV/P+7pvxGqvdVkb4gA73ViJI9Bnn8TMTSwgBNGrGhGv2O9aghYSipWZen\n+0LS4Zs0G+nkQcQOfze1VF1KiM/J8uVzGRWpZ2+9m26f1tCrS4zk2Lh0OracJbahjWHTU84/O0aj\nEUEQqK31dzq3tLSQlJRESEgIISEhxMfHB2heNDY20tnZyfC0VBYNM7Mk2cTxVi/1Dq2f0eBUeOmM\ng0anwpRYA2ad/55EmiTeixyLXJRPhsvvo4t1leDoRh5zeTqrhzQMhtAfhp6PIQwWQ+LcA8BgEhdv\nHslnTZM/YG92uvmu/A4pvbQtBGM0hpz/QeiHZ30w+OGBDo0IrV4koIXxKyOsfCl38NoI/SUtJkR2\nE7nZh9jirwBRRRHXI0+iDrs4wbPPHD4fplU/RZevFZzzjZmC+2s/gSDUMH3hYhdgVVV5+kQ3PznU\nqRnXi/DC/EiuTbf08cn/XNib7Lxz25u0FGkDn6nz0rnyj1f/V1cIC4JAaGom4eOuxmecS8NpO7gb\nMJgDWR0EEay2DszSUeyn/0XL0WIyh89l9pU3kBhvo7apAIfHi0Rwx1hARFRMdHTIHD1xmCMntyOL\n3cx86BvE3nYbtXnT2LWnFKddIkxwoe8jiaETFWL1drJoIanwIPWvreHUOx9w9tQpRtx0L8PyljJu\n8g1MS51McnMNprZmuhQFTx/8rQBeSaRBL1Lo7WZv5SFO7XuL5iPvoTSeISQqFd1l1sY40+7l9i2t\nGl2LTJuO1xZFYexnngDhFjNX5qbw1bxIcoUqutoaafKZ8AjB///dmMh3R/DPUpV/HSulvKaE3Bgb\nNnNP0kMQBcLTI8i8Mptx900gKicaVJXO6g7U8yPZH8Pd4ab5SC0hO8qYf7qMhVZwmQ1U6g0aB0JF\noMIbxZttI/l96yIaTBNJi4wkSuwEX9+dPjbRyThjOdeH7OcB2ybGGcuwiB7OOGxsrBP4c0E3R5o8\nGHQiqdkZqPOvRs4eg9DahNgcqOMiuJ3oCo6g3/wOQnsLSlwShHwGVewhYfimzsc3ZjJiXSViq7YC\nUVAVpLLCngSGvQslNZOw6ERyM0czcdwU4pNj6HS30G3vvGASw9nlpaK0isPH93OmIh+3z0lMVBzS\nBarRzDqRhUkmbhpuodmlUNAWWCF4psPHC0V2znb6GBmhI9LU9znDUsIZddNouhu6AxLB3fXdnHr9\nJIIoED8+oU9O5S8qdKLAgkQjb5Y6NcUdm2vcjIjQkxv+OekKvQQMJS6G8An68me2bTnJejHm3PZY\nYxk+KYS78rIGFGBft+9F7C6/DRu3MwdXlZ8Ccfi0BjKnN2DIuBfJFry60lP2oqYrQgzNRp9x9yUF\n+FVvN66TPwPFPxdd+HRC39iB4ApM+ru//H3UhEDaIkeLgw1fW4fSy8CY+NAUhl/Rd6V7VbePGz5s\nxtUrVp9oEVm9JBrrRXS+94Widi/LP2jWiPaKAry8MIrpcQML0Os3vIH+8M5z24qko+ymh3G36Nn2\n+BbNsbN+MJfkaT33qKmpie3bt2v2Z2VlMXasnzZUEASSY4YzOn0KtS3ldNi1lJqK4MUuNOATZOxq\nKjbZQbyuiQ7VBr2KdwQEjKqNECUeAI/Q3aN/8bGA9/Gzu8gv2ElHgxNV9dtus8qPkdDd44O77/g6\nSvaFtSEuFXHJ0dwyNYXWTbup1RnpPk8nok6O5LXuOZT7YhlrKMMm9iQRRFTGGcu417YdCR8nPGl4\n+eRaBFpI4CTT6MZGNHUYhZ7nuqa5lGMle4i2xRMdFt/v3MLTIhh9Wx6SQaLuSB2q3MtoVgWaSsMo\n2p6IpFOISu3S1O4p3aX4at4Dn4NOJRYE/YV9XkFAHjkBJWEY0on9mo5Zqb0bc00IIeNVYsfVU3E0\nBtnrt4W6aro4824+SVNTCIkLQQ2LxDfnSlSjCenMCYReAX3B50V3bA9i4XHk4SMg9DLoNegNyBNm\noTu8E8Hut6+lkgJUvYHMKRO4K9tKp0flaIvWx/MY9JweMYydDR7CTlQzZmpSwOljYmIoKyvD5fIn\nkZqamsjNze0phgoJISEhgbKyMk3yorW1lcbGRtLS0kgKNXBXloUYs8j+Bg/nMYRztMXLi2fshOgE\n8qL052gyJ8aZub9rJFNrjxDn9a/dUulpVJMFJWv0Jd26T+YJQ4HpIQTH0PMxhMFiKHExAAwmcfHk\nzrMU+/wvyxFF1aycuwGD2f+i1qfdhi7i8hhOh5s8AdRCITpB8+LKCJX45/xIDNLgjP+1m96gsUJb\nKaQiMzLyIBPCq4k4loq+uEiz33PrV5GnfU7EuBUF499/g/7gNs2wnDka17d+NeiKnItZgGVF5bED\nHTxzXhu5UYKXF0RxVcrnr4rW3mhn9W1v0FqsdU6SZ6RwzbPXojMOPBn0eYfBFkbE6JlYcm6kpTqa\n1tJ6LKGdQZt4dAaFEFsdetc2Wg68h7uqm3FTr2XWgivR69upaynH6xMQCX7/RCQExUR7m4+jJ45w\n+MQ2HN4WZj70MPF33EVd3jR27y3FYZcIw41eCp7EEAQI17tIl9rJbiul8/U3Of2vDZzauoOYqTNJ\nmbyM3EnXMW3s1eR6vdiaavA5nXTq+w/mOnQS1ZLKSXsTu09voWzvW3Tkb0ZytBMSn404iCTh+XD6\nVK7f1KypqjZJsHpJNMNCBn5eURQZkRDLLWOG8dVRIUQ6Sujs7KBJsaAESzQLAq1YOegI59nTLtaf\nKKK2qYrcmDCsxp71QzJIROfGkH1NLmPvnUBUTswFkxi+bi9yfj3D9xSzpKiCkS4HbT5ot1lQNZ1K\nAiftNv7RmM3znfORYmeTFRODRXCjelqCnhtAL8hk6utZYjnGQ2EfMN98khipg2PtOp4t0fNcoZ0a\nh0J0SjJRi69CHjcdnA7EugqE86gfBdmHVFqIYfM7iKWnUUNsqDGJn7oOhhoZi2/2lcipWUiVxQjd\n2sSvoMhIZ/PRb12L4HYhp2SCwYgtJIyc4aOYOG4KiSlxdHla6bZ3oMpin5oYgirhdSjUVzdx5Nhh\nThUfoa2rhaiIaIyGvmlUwo0iy9PMLBlmoqTTR2UQ/YuCNh9/L7RT1S0zKkJPeB/C0TqTjsylWXjD\nvLQca0Z2+8+lygpVuysp2XSW2NFxhCR8TrodPyPYDCIz4428XerUJDY3VDmZGWcc1BrxecRQ4mII\nn6Avf+bdrfnssfjFsuebTuEJyeW6rAt3OzS217D12DvntsUuPeLbNnoLtc24q5CQeCPGEd9GEAP/\nb6qnA/fpp6BXRb4h69I70z2lL6C09aJ6EY3YzqSjP30i4FjfyAl4r78/6Ltrz292UnvAT/drijBz\n1R+v6dOedfpUbvqwRcNBLwnwxuIoci5jsrSq28c1G1podGntud9OC+Om4QMseupsx/zHnyH4/IHX\npikLaRs5mf0/2kN3rT9gG5kVxaLfLEEQBWRZZuPGjTidfo0Qi8XCkiVL0OkC74vFGML4zNnYLBFU\nNJ7BJ/cK9ArgEbvpFhvwCiE41ASG+Wox6L04VO11CIiY1HBClDhUZDyCHQRQP05gdNKARdeNTgnB\n6vZwRXFPt4Wclo3nnm8G7ab5NFDSJfNwdSh6l5eFdScps8UG2JGnvcN4uWsuHnSMM5ShF3qeF73g\nY4apiLtCd9OtGMj3DOsl4C3QRBInmIYTK9HUYxDcuL1OTpTto6m9jrS4bAz9ULWKOpHkacPIWZFL\nR2U77edRQcteiepT0ZQeiCMk0k1YvMP/t1AVlI4CrPY9qIiExOUhDIBaSEnOQM6binRin6azR3C5\nMBU7CU1PJGF+MZUnYvA4/P8RT7eP02+fwBpvJXZUPIgiSvYYfJPnIVUUBxSviM316Le9h+B2ImeO\nunTKapMZ37jp6A58hOD2P+u6giMoUbEYMrJZMszEnAQjB5s8tJyXOegIt7Jeb6XgQC3zx0Rh6tX5\nIIoikZGRnDnjp+9yuVwoikJSUk+iIyQkhOTkZCoqKvD5/EUwXV1d1NTUkJqaisGgZ2KMgdsyLdQ7\n5YBiGZcMm6rdvFfhJDNMR1qoDp0okBVt4bbWHG5q3IdN9idPdKcOoSSm9nRUXwKGAtND6A9Dz8cQ\nBouhxMUAMJjExY8OdtHVi2rkutp9LB7Xy0AWjZhGPYogXXqbqqyo3L61VUMJFaoX6OpVdSMAry6K\nIsM2uBf3mg9ep6lSW72rIjMq6gDjI2qxlWVjOnBSs983eS6e27722Qq3XiwUBeMLv0O/a6NmWE5O\nx/noU2AePDXTYBdgl0/lgR2tvHpWKwxolgReXxTFwuTPXh/gUtHd0M3q294MEClOmZPG8r9fi978\n31/dGgyCKBKalkVraC7tymQ8tSZkRxNGa6AoM4DJ6sZqLUVse5+G3R9i6LYyfeGtTJ4+G6ernOaO\nehRFRCS4s/BJEqOrU+H4yRMcPL6dTmct0x54kKS77qVp8hx27DmL3S4RqnowSH2Lilt0XobpOsn1\n1qP/YB0lb7zPife34A41kzHnWtLHX83EyTcwKSqDuMZKdB3tdAng64cKTBUE2vUSZXg53FLK/qPv\nUrtvNc6SvRhUBXN0OsIAKdqgh8d+c432Xj41PZwrhl38f0gvSUxJTeTuscnckyEithXTbnfTqlqD\nrnGKIFKv2tjdGcZfChy8d+IMVfWV5MTYCDH1zENn1AUkMVSl/ySG3O3BUtpM3vFy5h4qJqmpHdWr\n0BFmQdb5f3+XDDuazfyxOoM9wgJsKcvIjE9DEgVUV5MmIHQ+elNK3Rm6nXSxivxmO785refNMgV7\naBTJ8xdinLcUEBCrS4PyDIsNNej3bkb3saChkpgK+k/xPy8IqAkpeOcvR4lOQKwqQXBok8CC7EM6\nc6IngeFyIA8bfk58MNRqIztjJBPHTWFYWhLdnla6HRdIYiCieARaGzs4deoURwsOUNtcSYg1lNA+\nOk4SLBK3ZVqYFmvgbIePuvNa+lXgRKuX507bqeyWyQ3XE9FHAsMT4iXpimHQBu2l2mCDs9lB/hsn\ncbe7SJyUhGS4PDzF/w1ItEqMidSzusx5Lp4qq/BepZOlw0zE9EPZ9XnHUOJiCJ+gL3/mpd1nKbD4\nK7WvsRyE6FksHnbh4pm9BR9S0eAvYkrMH4HvtH/9jEjqZvKNJRiGXYcualLQc3ir3kFpPXxuWzDG\nXHJnumKvwHP6aXpnUEz6xVhWr0cg8H3r+vrPUCOiA8Y7KtvZ9O0NqL2I5Gc8Opvk6cEFpVVV5Wu7\n2wJskh9PtA08mTAANLtklm9sofy8hPh38kL5Zt7Ak9eGt/6Grsjvp6qWEEpveIiaXU2cfUNbnLbk\n/5YRkR4B9E8R1RcEQSApOp0JmbPpcrbT0Fat2a8KCk6xFZfQhkOMwyOHkamW45SM+FStLSEiYVYj\nsSgxKIIXL45zCYwunHQKjRgNXWS0tRPqlnt+3+j+uxEuJx7d30F+mw+nwciZ8EQWdtcwvKuWUkuM\n5jgfOva5c3i9azZGwctIQxU6ocdGMAtuFllOcKttH52KiUJP0rkEhopIA8M4wTTs2IikEZPgorG9\nhiPFO7CYQomPHNZvx5IpzETOihHEjo6l/kgt7k7tM+u2Gyg9EE99UTiRyd1Ywv3sDoLqxeQuxFe/\nGfShiCFpF/y/quFR+KYvQjqbr0k4CKqKoaKFMCmJ5Osqaaq00N3sX3tUBUo/LMXRUEfK3JyeztLQ\nMHyzlqKGhiEVHdfYpIKqIBWfQrf7Q5So2B4h9kuJTVhDkUdNRLdviybBJx3bi5KUhpqUxrAQHXdn\nWxEFONDgQWPlCQJFOiMvHO8gOkTHmEj9ud8lNDSUrq6uczEE6NG3iI2NJSysx6a0WCykpaVRVVWF\n2+3/jRwOB+Xl5aSkpGA0GgnR9xTLTIszcLDJQ5tbu841uRReL3FystXLhGgDeVEGijwGnlZyuL1h\nN0a1F73f0T0oWaNRYxK4WAwFpofQH4aejyEMFp+FP/OFEec+XlnD3F4dtYKq8oH9p4wa5TfMdElX\nY8y5PKJgfysI1EQ4H18bFcITUwZH3/HOxtdprtImLRRkRkcdYFx4LebaGGwfVmn2y8npOB//I5g/\nB7RGnyQtdmg5b5WYBJyPr0INv7gFdDAiQ+1uhdu3tLCnF8UXgE0v8NqiKGbGfwac8ZcZXXVdrL7t\nzYDKndS5aVz9t2vRDULk+b8VvZ8RRVFoObqfrvy1hEfkY7QGUkn1huwTaK1PQYyeS9ysZagGPTt2\nvk1pdSOCz9pnJ0ZvKMgoYjcxUWbmTFtGbHwajvY29v7oF0Q3NZGpthFnChTmCzofRaDKHUa5FEZH\nQjzTf/w9LOE9Dq3sdVF78G1Kzuym1NFBhUmHMghNk1CPTIYMqREJpI1eRNSIRYhS8MDimyUOHtyh\nfeZuyjDztzkRn4r4e35NHX/cX8L2jghquHAruk6VyZUaWRjr4YFpI0iOiAg4xt3lpmxzCcXrz1D+\nUamGjqIvKJJIaWosRTlJFOUk0REemGwN0Qlcl27mruESE3SnkVv2I7ccQHUHalcE/Q5V4IQnle2u\nUWx3jSE0cgQ3DA/lmmgvEbveQ//hasT2vjs7VLMV78wr8M1ffsmVWwOCz4tux3oMa18Kqs8BoBqM\neOddg/fKW1AjY4Ie09LeyMHje6mpqkV2iggMLHim6DxExYQxMmcMOcNHB6WUUlWVDVUunjjSSX4Q\nCinoofm4Md3Mt8aGBlAZfbKGZGZmUvhOATt+vg1XmzPgHCGJocz/5SIyFg4f0Ny/KHi52M7Xd2m7\nVJMsEh8siyb5v7TzYkicewifoC9/Zsmq7ey3+mmPfhHxCqEjvsa9Of0X8aiqyjOrv0tb18cUdgok\n/Wki7ia/bTv9jiJGLa7DPOOfiMZA+1pVPDj33IPq8b/HDZlfRp9y46Cu7fx5uY79AKXt6LkxwRBD\n1CYjUsXZgOO9Mxbj/soPg57n3fvfoXyrX9siNNnG3Vvv77Pb4g8nu/jxedSvS5KNvLYo6hxNy6Wi\ny6uwfGMzR5u1duN9ORaenj5w/QyhvhrLD+7R0Pe4b/0qx2JGs/OBrbhb/UHS9IUZLH/+eqCHzmbt\n2rX09u+zsrKYN2/eoK6jpDafdftepKUzkI4SwKxEES6nYVUEUsVayoVkvGpw6lQPdjqlKhxCc2+G\nKURVIk6wMGP6PRoR708TBW1eZq5p1KTHXpgXwXXpFta9tpMnmwwUhAbXfRsmNvGtiHe5wboXSdD+\nXWvlGH7Xtox/2afjO8/mF5DJ4TgT2U6k0PN/HBaTybKpd5IUfWH7y+fycvT5IxxctQ+vPYg/Iqhk\nTq9nwopSbLGBNodgTcGQdgdS7OwLJxx9XgxvPYth45sBu5SwCDoWpbBjncKpTakB+xPGSCx77h6s\n8ZH+726qw/iPp9GdOhj868ZMxn3nN1DjL01rTyw8hvl330XoJZitiiLuB3+Ab/qic2OlnT6+uamB\nHX2wt06M1vPLKWHnqNxcLherV6/GbrefO8ZkMnH99ddjtfrXYKfTycaNG2lu1tq3ZrOZK6+8UhMA\ndvlU/lTQzVPHu7D7Apd9gwgPjwrhvhwri95rYmztcdad/C36XkVOqsGI65EnkUdOGOAd0mJIfHkI\n/WHo+RjCYPFZ+DNfmMTFd9ft5tnmtHPbafUN7J76A80x5il/RrwMotwNDpnJqxs0nKYGEY0wW1aY\njh3LYzWCTBfC6g2v0VKtDVwqyIyJ3sfYsHp0LQYiNzo1FQdKaDjOn/z5krLynxkUGePffxvQaaGE\nR+H8wR9Q4wI5KAeKgS7ANXaZmzY1U9CuDVolWETeWhzN6MjPX1dCZ00nq299g45KbSItbUFGj4jf\nF4geqj/09Yx4nU7qt72L3LSFqIQqRKn/JcfnEWlrSEOKmUXsrGV4BYVtO/9FdUP7gJMYKgo+oZvI\nMB3TJi8gLa2Hvm7nb36L/vhpMrztpBrbkMSBrd92r55SXwTVxjD0syYy7SsPndvnaq2mfP+rlFSd\npkRx02Qa3DNu88iky5AWmUja6EVE5i5ElCSKO7zMe7dJY5Rn2nR8tDxmQIKil4pNBWd44UQTex2x\ntAsXTtpKqkyO2MSCWDcPTs0lJSoy4JiCYwU07qun63AnlTvK8bmCB7fPR218BEU5SRTmJlEfHxFQ\nXZYVpuOOTAu3DDcTq5QhN+/H17gb1V42sIsFOhUzO50j2OMZjS5yIlekJXJF7T7Mm1cjlZ7u97Ny\ndh7eBcvxTZoD+k9ZFNnjRv/Ru+jfexWxsy3oIapOj2/2UjzLbu/33dXt6OLoqf2UlZXh7PQN6L8F\nPbzd5lA9w1JSGDdqEhE2bcBOUVXWljv51dEuijuC/8YCcE2qiW+PDWVsVM89O38NcbQ42PnLbRSu\nLgh6juFLs5jz+Dxswz4D/ZHPCX53vItfHtEGFkeE69hwVUyfVF2fZwwlLobwCfryZ7KfK6BR8q8R\nP454jVkzVjIltv8imuqmEv76/s/PbRuLwwl92d+JIBlkbn9mJ9aMuRhHfjfoObx1H+I5/ZR/QDJj\nmfESgn7wunyfwNe0B/fJn2vGbHUzMG/aGnCsqtfj+PVLQavxi9efYf1X39WMLXnmKnKvHxn0ez+s\ndnHzhy2agHV2mI4Pr44hzHB51ha33ENDtaNOWx2/Is3E83MjkQZaJKKqmJ56DN3JA+eGlOg4HE++\nyJsPrqbuIz81lqgTufPDe4nIiMTj8bBmzRo6Ovz2vsVi4cYbb8RoHHzRlU/2svPUenYcX4dPCRIw\nVwVClQRsyjBsiot4qYVykpHV4O9iLw46pCocQpMmgYEqECHZGDtiMQsnXzPoeQ4Gd29t4d0KP/XO\nqAgdO1fEnktced0e/vLXzfzBkEaTMfi7OUtXy6MR73Cl+UhAs0C1HMNTbVfzL/t05IDOa4VM8pnE\nNmKEOgQEJmTNYdGEGwkZgLacvcnOvmf2kP/acdQgNTSCpJAzp5bx15RhjQjsGhesqRjS70CKmXXB\nBIZ0bA+mv/0awa59H6uCiHvhbA5XN7Dz+XRkj/YarZFeFv96AqlLlvT6kIp0cDvGV1chtgUWrqg6\nPd4rb8Gz7PZLKrKUDu3EtOonCL1ujioIuO/7DtydDBwAACAASURBVL65yzTHvvpRDT88ZqctSGER\n9Nh3P50YxvAwHXV1dbz//vuaZGBCQgJXXXUVYq8OdI/Hw+bNm6mpqdGcS6fTMW/ePNLTtTGmOofM\nzw518HpJYLIJINIosiipRwfsrvodvFD4V81+VW/A9civkEcF75brD0OB6SH0h6HnYwiDxVDiYgAY\naOJi1j8OcUr1B0DubtjKk1NeObct2kZgnvTMZZnTA9tbeavU/xKShB7ag0+gE2Dz1TGMix54gGj1\n+ldpqbFrxhRk8qL3kRdWj2hXidqoQ+z2H6Pq9Dgfe/ozETu7ZChyj6bFrg+0w+HROL//DGp88Lbv\ngWIgC/DpNi83bmqhxqFt7c4J0/H2FVGfS67t1uIW1tzzNl012tKSjMXDubIfDuAvIgbyjNhra2jc\n8w56zz4i4i9cGX8uiRE7m7hZy1D0Ijt2rqaspgHVa+lT2Pt8eAU7JqOP7PR0Jk++CqPRTMHG9TS9\ntpZhznay9K2Ydf13hfRGgyuEMsJpDIsge+UDJI/JO7evrWQfpYfXUNpSzVkdOC6gj3E+bB4fSbKe\n35ofoUz1UzuYJNh8dexnnvzzyj5eP5TPmpJuDrli6RhQEkMhS2xiXrSLL03OIiuup/q/9zPidXqp\n3FlB6YdnKdtSgrMluONxPjpsFoozEzibmUBpRjzuXokiUYB5CUZuybRwdYoJs9KG3LADb+0GVEcV\nBKHQ6AvF3gT2e0ajho9nhmRh0vEP0R/cpqnePB9qaBjeWUvxzrvmkqvfLgi3E/3mdzBseAOhK3h3\noiqK+KYtxLv0ZpTU/o1nn8/HqTNHKTyTT0eLHVEZ2H9LRUUweImMiSA3axS5vboxfIrKmyUOnjrR\nRUln3/dtcZKRlWNCie+qRBAC15CKneVs/f6HdFYFXqdk1DHxK5OY9PDULyxdX2+oqsp393XwXKHW\n3pkeZ2D1FdGDKvb4PGAocTGET9CXPxP+gj8IpsfHQ7aNPLr8gQsWAKw/8Ap7Czad205cnYfnuP8r\nsmfVMudLBZgm/z+k0MD1VVVVXAcfRun2J9B1ySswZn914Bd1/jllN879D6K6Gs6NGdyZhL9ZoBHz\n/QSeq27Fc8tDAePuTjcvLXwee6N/nUicnMSNb96KECQ5UNzhZeF7TXR6/NdvMwhsvTqGzLDLs+7K\nisp921o1QXGAeYlG3lgUhXEQWoa6nRswPfe/mjHXQ49zunUY6x9epxmf8j/TmP7tWaiqytatWykt\nLdXsX7JkCSkpKYO8Gi1aOxvYdPgt8iuCV82Lqg6bkkyIkkCU3EmYvosKJRm1j45IL046pWrsQmOP\niHcv2AghLWkcNy1+4JLmHAzHWzzMfbdJM/bKgkiWpQbSrrXUtPDbl/fwYtQoHH1QSI/Tl/KtiHdZ\nYDoZJIERyx/al/J29wzcBD5jwyhmPLtIoRizwcKC8dcxJXcBUhCdmfPRXNTEzp9vpnJXTdD9kl5m\n5MJqxl5Vjik00DcQrGkY0u9EipnRbwJDaG3E9OdfIJ05GbBPTs+iIjOBdU/r6W457/4JKuNv8jD9\n8XvQh/WyJV0ODGtfRP/BW0FtUcUWgef6+/DNuQouUltPt2sjxud+o0leALjv/B+8i6/XjJUdqOG7\nf81n29QcfPrA79MJ8KVcK4+OC6Xy9AkOHTqk2T9hwgQmTpz4/9k7z/g4yqvt/2e276pLK1ldlmy5\nyd2WO7ZxNwZj0wk1BBJIgBSShyedvJBGSHgSQkgIvRcDxr33XuUiF8lW771sn/J+WFvyandlSbbB\nTnR90U/3zszO7M7Ofe5znXNdPmOyLLNlyxbOnDnjd7wRI0YwZswYv66r/TVunt7TyP6awOs4o8Yr\nOftkyQpeOPO+z2uqTo/z+79FzuoeedGbmO5FZ+i9P3rRXfQSF11AV4iLZoeDfh9U4xbaJ6UvQ59l\ndFR7MK4f9EN08bMv+Xy2lLtYuKbzhOavRofxgy5qnCqKwmerPqCh3O47jszwmF0MDa9C8KhErTeh\nrfaVWHA+/L9Ik+dw1UORMfz7j+h2BCItXrwsCbSLPYB3Vrq4a0MdTW7f22lcrJ4PZ0YH1TS/mlG2\nr5RlD32Bq8l3EZUxpz/zXlrQq7HeAd2dpBvzT1K/7wvMmgOExgTpOb4AklukoToZIWI81gnz0YSF\nsWv3UvIKS5DcJrR0rRpOxgMaG7HRIUwaN4e4Puk0lJRx8HfPE1dXSz+hnhiD/eIHOgePLFLkjqBI\nG4EtLYmJP/sfjOfan2WPk8qDn3P25HYKbQ0UGjS4NZ3/FhRVYBV3c5YhPuNPiKt5uL+BPiNvQteF\nyrIrAVmWWXI4l09ONbPfaaVBuLhfjqCqpAj1jAlpZmqMSnZ8LAMHDvDZRpEVKg9WcHZ9PmfXnfHz\nkQl6PqJASXIM+f3iyesX79ONYdEK3JBq5M4MM1PjDQiKE6n4Ezzlq8HdteOfh6SKHPP0xaH2Y0SZ\njZTD+xFbGjvfZ+AIpOvme7swDFfQ08flQLd5ObqVHwWVkAKQhozGM+8O5KyxXdJDPlt8miMnDlJT\nWYfq1gX1xegIRfBgDNWSnJzMyCHZRIZHIysqnxc6eCGnhRONwbtsBoXI3JMo8e3xfdF2SJ55HB72\nvLiTg6/uD+iZEpIQypSfTqX/ggFXREbtWoKsqNy/qZ7lxb5z15Q+ej6YGU3IV9Cx9VWhl7joxXl0\nhbjopy1nYlglf13YeVW6oig8/8n3aXV4yVKxSUfUiwO5UNz9pp/vpc/oVEyjng94DLn+MM7DT18w\nImCa8Dqiqecd3O6C9/EUvH3BmwjErAtHU+UvR6RawrA9/x5Y/NdLm3+5gZy32qWmRK3I3avuIzrT\n3wej0aUwc3kN+c3tz25RgE9mRTMj8fLMbYqq8oOdjbx12jf2GhWjY+ncmG51mQoNtZh/+oCPJ5Sc\nOZTab/2W9+a+jaO+vUjCOjiWO5Z+A41ew7Fjx9i1a5fPsTIzM5k6dWoPr8ofRVWnWb3vA0przwZ8\nXVR1hCvJhCh9iJNrMeg9lMgJEGT+lXDSIpbTKlahCr6JbBMm4sKSuW3u44SZL0/MeMf6OtaUtM8r\nI2N0bFxg7XTOLcot4U/LcvgwZiieIKRClq6IJyOWM9d0CLEDEVOnhPNK00zeaZlGi+pfOBNFFSPY\nzgByiI+M5Ybse8hIGOK3XSAUbDrL9t+sov5s4MIZnVEia04xQ2cXoTf7EwViSDq6tDvRWCchCEHW\nhLKE/vM30S1/D6FDzkjV6WiZOpPPPrBRdtz/O7KmNzPrmVRiJn0DQdP+WxNLCzC88yKakzmB3zIx\nDfcdjyIPy+6R/4V29wYM/3zOjwx13fYwngXf8Bkr31/GG99byfLrhnJiUOAiyTC9wA+HhpBWsoOa\ncl/vl/nz57eZdZ+Hqqrs3r2bY8eO+R0rOTmZ66+/Hr3et7hGUVU+Oevg1/ub/LzWLsTCmn18evxF\n34YlnQ7nk88hD80Oul9H9Came9EZeu+PXnQXvcRFF9AV4uLlrfv56Zn2QDvS2crRzCfb50KtBfOk\n93wm1Z7A5lGYtLSawpb24EDAt0Z2YpyeZXNjutQurCgKH3/5Ni0dGHgFiRExu8kKrwJVJWKHCcMZ\n3ySU+4a7cd/+yKVczlcDRcbw6h/Q7VzrOxwZg+Ppy0NaQOcP4LdO2XhqdyMdpetvSDHy76lR12SF\nZ97K06z5/gpkl2+g2m9+JnP/egOablbR/zegp5O0oijUH95H8/EVhFiOYom4eOW9Igs0VMYhm8YQ\nPWY+5qQU9u1bQW5+Hm6nHi0XN90Eb7W4JNiwmBUG9RvIqFFz0Gq1bPvj82iOnCTZ3UxfXQNGbdck\njQBsHj1FUjilujBcfZOY8L8/aSMyJKeN8gOfUpS/lwJbA0UdiAxVhS3cxFHG+xwzk8PM5mMEAXSy\nQrJLJsUQQnLiAJJG3Yw59qvX+pdlmaVHTvDxySb2OWKoE7omfRGp2hhmqGVOsp57xg4hzOT/XTWc\nqefsunzOrDtDxYGyLjdKtIQYyc/wdmOcyeiDw+wls/qYRBanm7ilr5lRMTqU5pO4iz5Cqd0DqEiq\n2GYY2RW4JA2OUivxZ12ElVR0uq1qsni7Hq6bj9J3wKWZKHYGjxvt9tXol7+PWBtYUxu8nk2eubcj\njZ/RZVmr2oZqDh7dQ2lpKR6bgOgn3xAYKiroPERbI8jsN4jM9CzWlMn8KaeFI/XBO5ySQzQ8NjiE\nezPNfkn2muPVbPzZOioPBf7cE8clMfXX12MdHNulc/xPhUNSWbSmlt3Vvl5T2VY9H8+K/o+Rjeol\nLnpxHl0hLmabDpEYk8JfZg4LtGkbzlbk8saa9or90M0JGDa1S+JFJbew6Jk9GIf9Aq11UsBjOA49\njdJwuO1/jXUSxqG/6NrFBIBiL8Ox9zFQ2iVswo4nY9qfF3B7113fxTP3Nr/xypwKPlr4ns+8Ova7\n45j4kyl+28qKyh3r6/zMuP/f2DAez+q6SXZnUFSVp3Y18fop3y6xzHAtq+bHEG3sRrytqhhf/Bna\nwzvbh3R6bP/vNZb/6gBn1rR7gIg6kbuW30vMQCuVlZUsX77cR8omKiqKhQsXotVe3s5qRVU4VrCH\ntQc+ockW2EdLo+rPdWD0oY9Ui0HvpkRJCNqBoSDRKlbSIpYjC+4Ox9IRo49g8pg7LskHY1+1m1kr\nfLstPp0Vzcykrq39T+7L448b8/nCmoUSpEthgLaMJyKWc6N5n58Hhk018WbzVP7dMotq2d+DzUQr\nw9jFUPYwNDGdWaNvJyHa30eiIxRZ4eSSw+z58yaaKwIHm3qzxODrS8iaXRy4A8OUgC7lNrTxMxDE\nwHGV5th+DP98LqDEp5Q+kO1NSexY4v9Z6owSkx4sZ/CDt6KNndJOEqkq2t0b0H/wMmJT4GIcacgY\n3Hc+ipLS/TWC5uB2jH9/xkc+G8C98D7cix70iWXL95fxxX2fkhcTwdrZIylLDOynGW8SmOo+wQhX\nAZpzDyCTycTixYsxm/1JqRMnTrBz506UDgRKeHg4s2fPJiLC/z5o9Si8fLyVvx5tpTWA/wVAorOO\nt0+8zNSmk21jqk6H84lnkYeNC/KJ+KI3Md2LztB7f/Siu+glLrqArhAXN7+3k83u9sl/oWc3L/d7\nte1/bdJNGDIfu+RzeXpPI6/k2oK+HqYX2LEwtkuSQ7Ii88Fnb+Jo8J3sFCRGWnczJMzbZh2So8Ny\n2LfaWxo1GefjvwHxKl/YSxKGf/8e3a71PsNKlBXH039Bjbt8UiWBHsAeReWne5t49YT/d/bNARae\nHx/edT3aqwiHXj/A1t9s8kuWZt01jOnPzkTUXuX3xdeEyzFJK4pC7cFdtJ5Y02USA6CxKhKXMhhL\nxnVEjMgm98Q2Dh8/isOpQadevCvgPGTcCFo7CbERjM+ejdWa6u3G+MOfiKqto6/SSIKxme7c1q0e\nPUVSBOX6UJx9k5nw9I/biAyPo5mKA0soPLOfQlsDHxtmsF2c67N/NJXcyivoOyxGL0Scw0OqqCM5\nJpnkrJlE9psS1PD7SkCWZVYeP82HuXXstcdQI3QtoaFXJQZoapgc7eKBMf0Y0CfObxt7rY2CjWc5\nu+5Mt3wxFEGgLDGqrRujPCEKVRRJDdGwuK+JxelmBpvqkctX4SlbBVITigqtqgmL4PRbNAeDpklB\nf0rAclZC4wouhwRe0kCaMh9p/PWoEYEXdpcMSfIuZpe/i1hREnQzJSIaz/ULkabfiBrmb6oeDC63\ni6OnDpJ/9jRNda2IctclGxUkdGaIjbPijBrIP0tj2FcX/DML1ws8kGnhoUEWUi6Y91VF5cRnx9nx\n+63Ya/y7owRRYPBtWYz7wURC4y9Pcu1aRINLYcGqGj+j9GFROj6fE929hOBVil7iohfn0RXi4pHQ\nNYSnLeRnYzp//n6x43UO5G3x/iND7N+GoTS0H37ivScYMl/GNOG1gJXW/t0WYBz1ApqIrlWCd4Sq\nyjgP/hilqd3vR19lJHJ14M4/xRqP/Xdv+ZHTiqTw4Y3vUpNb3TYWnhLOPeseQBvAn+uX+5r46zFf\nb8A7M0z8Y0rkZelsU1SVH+5s5M0OnRZJFg2r58eQ1E2JWe3OdRj/+ZzPmOuuxzhqz2LND1b6jE/8\nyRTGfnccdrudzz//HLu9/Rx0Oh2LFi0iPPzK+Sd5JDe7ctey9egyXB5nwG00quEcgRGHVa4nROeg\nWElECUJgqCjYhVqaNWV4hA5rM1UgXPTKSC2cej86XfckvhatqWVTeTuBNS5Wz+r5Md2+D/ZvPMKf\n9lex2hrYSwWgr7aS74WvYpFlNwbBd/7yqFo+bp3Aay0zOeXxX+dq8NCfIwxjNzPTk5g58haiwvxj\ny46Q3TLH3lrP3r8fwt4Q+L7TGmQGTi1l6NwiLJH+Mbmgj0KbvAhd4nwErf/aQ2iq9xptH9zu95qq\n01M5dBYfvSFjC/D+GeMqmfK4hpDhD6EJy2x/wWlHv/JDdKs+QnD7+3Kogog0aRbuhfejxiZ09hH4\nQXN0H8a//tzvuO65t+O+81Ef8qL6WBVLH/iM1lobx4eksn7mMBojAhc0Ral2Zip5jFLL0aCSmJjI\nvHnzAt5LlZWVrF+/HofDdz2o0+mYPn06qamByakah7dI5vVTNr/CyvOY2pDLLwuXtBEYqk6H8/Fn\nkYdfnLzoTUz3ojP03h+96C56iYsu4GLEhSzLZL6V71NN+5r1Jeaa21uMTdmvIIakXdJ57K5yMW9l\nbaeFta9NjeSW9Ivrq3skD+99+jqeFt/Azkta7GJImDdgN51UCdvjOxnLKRk4fvY3MPbc3OorgcuB\n8aVfoz2yx2fYS1q8eElG3IHQ8QFc75S5f1M92yr9A7efjQzlqeGh15xch6qobP/tFg6+ut/vtQk/\nmsTYx8dfc9f0VeJyT9KKolB7YCetJ9cSYj6GJbJr8k0um46m+jQ0UWOJzp5FnbOOPQc2U9voRJS7\nZu4N57sx7BgMEqnxcYwft4CQ0EiOfLaEhi/XkWBvIl3TQLg+8IIzGFo9egrPERnujBTG/+QpjBYL\n7+fZeGy7bxIiRG3kNuEVQoTmIEcLjFC3TLKkkmiJIDFpMAkjFmDqQuXZ5YAsy6w9kc/7x2s4YI+k\nHP+KqEAQVJVkoYHRIU0sHhDN/CGZaDqQL5LTQ9neMoo2F1C4uaDLklIAdqOewrRYCvrGUdA3jhpr\nGJkROhb1NbEoVUs/z148pctRmryt6R5VpFKKRC9IxGkDe0j4npyKsVDBdFpCX9N5XKCKIvKQMUiT\nZiONmgSGrnUIdQuKgubwLvSrPkJz+kjwc9HqkLKn4Zm5CCV9ULc7QiqqS8g5cZDysgo8NrrcjQFe\nWSnMGgrFGL6wp1MhBO6SEAWYn2zk4UEhXBevb3sOu1pc7Pvbbg69fgAlwMpUY9Ay4oGRjHksG2PE\nFfiMrwE0uBQWr63lUK1v1eSgCC2fz4mhj/naJi96iYtenEdXiIunwr9g0IgHO11LSLKHP370JA63\nN/Grzw0j7KP2+VNrkLj7L9sIGfYtdMmL/PZXVRXnwR/5kAxi5AhMI3/f/Ys6B0/xZ7jz/9X2v+BS\niVmpQ2xuDbi943vPII/1lzg6+Op+tj272Wfs5nduJfW6NL9t382z8b0OMckYq47lc60YL0MntaKq\nfH9nI293IC1iTSLL58aQGdG9xLrQWIf5pw/6mCHL/YZQ89BveXfO27ia29d74QMjuG/FN0GElStX\nUlHh28E3a9Ys0tLSun9RPYDN2cKOY6vYfXIdHilwgYpG1ROqJBCi9MEqNxOma6VISUTpZL51Ck20\niOU4hHo/HwwjRqJNMcyc9AD9ki4es++odHHDKl8pyqVzYpia0H3D8vPYvuoALx2tY7U1OJkXJzby\nQNgG7gnZQpTGv0huh3MgrzbPYoNjWEAyJ5ZShgt7uTMzktkjFhBqvng86rG72PGHf3Hy01ZcrYHv\nQVGrkDm5nOHzCwm1BlgDaC3oEm9Am3QToqGD/Nq5TgnDO/+HYPOXyXX3Hcy6M305vNX/NxYS7WDS\nfSdJmzkEffoDiOZ2IkKor0a/5DW0O9b6SVIBqBoN0pT5uG+6FzW66x2p4skcTH95GsHpSxx4xs/A\n9dBPQN9+DzSXNrH0gc+oz6vDoxXZm53J1uuG4DQGLnCxqq3MUvIZrpaTPWYMI0eODLhda2sr69ev\np6amxu+1kSNHMmrUKB+T7wtR2CLx24PNfBxEDgy8BMYvij5jWuMJVK0O17eeRpowI+j20JuY7kXn\n6L0/etFd9BIXXcDFiItteWe5cXv7pKRVJHJTn8AiegNAMXwwptF/vqRzcEgqU5ZW++indsTtGSb+\ndV3URY/lcjt579M3kG2+yUkFD+PidtA/xNuWazwrE7bd4xPLKeGROH71Cmr0xSszvlY0N2L689No\nCk76DCtRsec6LS4vaQG+D+DcBg93ra+jqNW3UtasFfjHlEgWpl17CSLJJbHuqdWc/tL3MxW1IjN+\nP5vBt2V9TWd27eBKTtKKolCfs5/m3LUYNUcJj+1CIhlQFWisjsEtDCE0cxqWgUPYs3cFZ0rK8Lh0\naOk6QamiIAk2zCaVfqlpjBkzD2SVXb9/HvPZYlI8TaToGjFoO6+674gWt4EiOZz9ISmsSxjG0pSJ\nOHUmwvUCK2aGEFm4gpL8vRQ311CkgeYeeKsIqorVJZGEhsTwOBLTxxI3fAFaY9e7UXqKQ8WlvHOo\nkF0NJvIUK1IwHeAOCFGdDNTWMj5G5vZhqQxL8n+uNZc0UbS1kKItBRRvL8Jj67rBeovF2EZiFPSN\nw5oWzo1pJm6JrSLDtgapaiPI3oWOWxU57UnApphI1taSoPVv9b8QmkYFU76M8YyM5iK8lmo0IY2+\nDmnSLORBI0G8/Ilk8cwJdKs/Rrtvi5/h4oWQ+w7AM3MRUvZ0n8VoV+GR3Bw9eZC8M6dprG9BlLre\njQHgFlxUCFpOEsc+YSBNgr/m86AILQ8PCuGODBOWczJSDWfr2fLMJoo2F/htD2AIMzD60WxGPDjq\nv9LAu8mtcMe6Oj/ZqPRQDUvnxnSpi/VqRS9x0Yvz6Bpx8Tm3TP82gyKDPwdOFB/k/Y3/1/Z/5Ov9\n0RS1S7gMuK6MKd8qwjzpnYBV1VLtXlxHfukzZhz9FzThg7p+MRdAsZeek4g69/tVVSJ2h2E47Z/E\nA5BGT/F2jXcgoZtLm3hn5htIjva11oCFg5j71xv8jrGq2ME9G+u50E6oj0lk002xxF8GslNRVZ7Y\n0ci7eb6kRZxJZFkPSAtUFeNLv0K7f2v7kE6H7ZlX+eJ/91O0pbBtXNSLTH5lGiNnjGLv3r3k5Pj6\nBAwfPpzs7K5r3V8utDqa2X5sBXtObkCSA8cygqohVIknVEkgSnZg1dRTIibgUoLP1zJuWsVKWsVK\nPxkpQRUIF0NJ6jOYxdd/K2AXhqqq3LCqlp1V7ftO6aNn2TxrD6/UF/s2HuGlfeUssw4JKiFlxMXt\nITv5Vtg6MnRVfq+XSDG83nw9H7ZOoTmAD4YRO0PEQzyQaWLxyGlYjJ13Yubl5aE2V1P7+VaOfK7i\nag0cywiiSt+x1QydXYQ1PUCBkaBBY52MLvlmv9+/0FiH4Y0XfGTNzkMVRSqSJvHhJ2YcDv/vJGN8\nBePvPkPooNno0+5G0LcTMmLhafQf/gPtiUN++4G3WMUzbQGeG+/pcueveCYX059+4uMbA96Y0fnk\nc6iR7eSMs8nJikeWUrrb2/FrN+nZct0Q9o/tj6QN/OyIU1uYpebz/elD6JfeN+A2kiSxffv2trXm\nhYiNjWX69OmEhQX3cjlS5+aZA81sKPPvSjmP6xpz+Xnh50xvzMW9+Jt4bro3aDFPb2K6F52h9/7o\nRXfRS1x0ARcjLn705Q5eq0tr+3+i9gSfJP6p7X/9oB+hi591Sefwq31N/N+xwFVD4NW73r4wlnB9\n5xI9NnsrHyx5G9XpO8krgpvJfbaRZvZWDunLZCI2SghK+6WregOOp/+CkhG8dfVqgFBTgen5HyNW\n+ZpbKdZ4HD95odttoF3F+QfwaX0S397a4KcbmWTR8P6MKIZFdy9RdTWgtaqVlY9+ScWBcp9xnUXH\nDf+4idSpgYOoXvjiq5ykG/NO0HBwNVrPISL7VBNkreMHR4ue5sYMdLHZxGTPorTuDPtzdtPYLCEq\nlu5ViyMhi3bCLCKD+g9i+PCZtFRUcfCFFwmrriFJaiFF34hB0z0iwyOLlLjDKdGE02S2EHPD9Qxb\nfIv3PWWZxjM7KTm2lpKaYooUD1VGLWpPzPdkhUSXTJLOSEJMComDp11xiam9R46wqqCWPS0mjrpj\naRG67osUpzYzxNjA1AQdd48aiDXMd+Epu2UqDpRRuMVLZNTmBk7qBENDuIWCvt6ODHdWAvOGmrkr\nfB9JretRm0+1bedWRfa7+lHqicEiuhhrzCNWE6QjRlExlCqY8mT0ZUrHokf/zSOikcZOQxo33TsX\nXWa5QqGmAt2aT9FtXYHgCs6oqKHheCbNwTP1BtSEnnfqVNWWczj3AOVlZbhb1S53O4G348mOm3LB\nwGkhjkNCfx8iI0wvcGeGmQcGWBh8LglZsOEM257bErQTxxIXwrjvT2DwbVn/dT5FNo/C3Rvq2VLh\nu2hPsmhYNjeGvmHXJnnRS1z04jy6Qlx8L2wFv1r0MLpO9B4/3vIyRwu83czaYjMRr/nqwy/+zS5i\nJ87G0P/bfvuqqopz3/dQWs+0jWmix2Ec/kz3LqbteP4SUcYiLeGbA6+ZVLMF+2/f8kkknj+vZd/6\ngoL17edlCDNw78ZvYrH6ki+7qlwsWlOL84LQxaCBlfOsjLZeeowvKyqP72jk/Xxf0qKPSWTZvBj6\nh3efXNbu2YTxZd/P2HX7IxxqzmLD074egIO+k0XfWzPQ6XSsW7fO57X4+Hjmz58ftHr7q0BTaz1v\nLv0rte5Cv06JNqgCFjWWMDkRs6IhTSij5bsR/gAAIABJREFUSmulWQ6ekFdRcQj1tIoVOIVGP79v\nnWog2hDBxNG3MHJAu1TO6hIHd673nVNXz49hfFzPuy0C4ciOE/x1eyFfxAxGCmLiLaAw03SEh8PW\nMtFwyi+n7FD1fNo6gXdapnLcEzh2SRYKuDHBzffHjyQ2iEzmhesZZ/lhcl75mCNLLdgbg19zXGYT\nWbMKSR1VEzB0E8MGoEu6GU3sZATx3D2uqmh3rMXw3t/8SAEAKSSSzSWD2ZMTQccvzBDiZvxdp+k3\nuQl96q3okhcjaE1tx9Uc3oXh438ilhcFPF9Vp8cz42Y88+7oEoEhFuVhev4phBbfwjElIgbnk8+i\npA9sP2+XxPofr+HU0hNtY01hJrZNGcKhMf2QgqxZolUbjw+x8OiYBAwa/21UVeX48ePs3r2bjvk3\nnU7HxIkT6d+/f6fqCLurXDy6rYGCluBrszHNZ/hxyXJu6B+J9M0fBfSD601M96Iz9N4fvegueomL\nLuBixMXUt/aRo7Qnw5+OWMLj4ed0QrUh50y5ex68HKjxmn0pQc5CFGDFvBgmXCRAam5t5KMl74G7\ng56r4OL6+C0kmLztmLoahci1EoLUXnWqajQ4v//bLhsyfV0Qi/IwvvA/fiZccko/nD/6w5XTTAdO\nnM7j1WIdr5f4LygmxOl5e3oUVtO1lwgq21vKyse+9NNJN1stLHxjMbFDr/Lum6sIX9ckbauqoG7v\nOuT6fYRHFWKwdK3qXpEFmmqicauZmJKzMQ4Ywt6cjRRXVCO5DV02+D4PGTeqxkF4iI7Mvv0ZOmw6\nLVVV5PzpJcJqa0mWmknRN6HvJpEBUO20UEoY1foQ5H6pjHvqB20+GfaaAsoOLqW4NJdiVyslBg0e\nTc8W3WaPTIJHIUFvJt6aSp/+k4jMnIxGe3kIyQvvEY8ssezIST4/3chBewRldN1nQaMqpAl1DA9p\nZV5GBDdlDcCg9302tVa1UrSlgKIthRRvK8LV1D1Jr5roUAr6xtGQGcfk8RpuSdpHkm0LSO0khUfV\nsMM5gH2ufrhVHaMMZ5lgOEWExl/WTLSrGM/KGM/K6BouHjcoUbFI2dOQxl1/+U29bS3otq9Gt+EL\nxKqyTjeVM4fhmbYAaezUHnVhtB1HkckvPMGp/FxqqmuRHGK3iEIVFQduqgQd+YKVw0I/qgXvnDfW\nquP+ARYWpZkwCZD7yTF2/2UntqrAyb3QpDDGPJrN4Nuy0BquzYR9T+CUVO7fVMeaUl/yIs4k8v6M\n6MuSlPyq0Utc9OI8LkZcmAUn34w+wrM3+ss7nYfb4+L3H32vTbIn9MMUDCfafQ6SsmqZ+6MjmCa8\njmjq47e/VL0d17FnfcaMY/+OJrT75rgAnuIluPPbPQVFm0r0cgHRGXg+cz74FNK0BX7j+avzWPHt\npT5j1/9uFkPvHu4zdrzew7xVNTS72z9KUYA3p0Vx02XoppYVle9ub+DDM76yLfFmb6dFvx6QFjQ3\nYvnp/T4JVbnvQKoefI53573r04mZkJ3E8GdH4XA6OHz4MG53exeB2Wxm0aJFAU2Cv0ocOniQ/QcO\nIOGiWSzFJlahCsE7JY1KJKFKPEYlnAylhFa9hWq5824ICSetYhU2sRpZ6FCBrkKIYCE6JI4J4+7l\n1p0mKuzt7z8j0cCS2R3kjy4jTu3P56UNJ/ksahA2bfDilv66cu4N2cytITsJF/1lgHJcqbzXOpUv\nbNnYVP97V4+TKZF1fH90OpOTon2S3R3XM6qq4Cxaz/E3l5PzpZXWuuC/hVCrkyEzi8icUo7e5B/v\nC/ootIk3oE2Yi2jwxjBCfQ2GN19Am7M74DHrTGks2ZZKTas/MZU4pI7J958gNEGPLnkxuqQb2zvB\nFBntrg3ov3gTsbrcb1/wdiZJk+fhnnfHRRUbhKoyTC/+1I8MUXV6XA/9j4+8kqqo7Hx+G/tf3uuz\nbUOEhQO3jWNnUpxPR9eFiDXA40PDeGCghVCd/3qmvLycjRs3+vleAKSnpzN58mQMhuDxqqKqzF1R\nw96azteLGY5KnnTlcNs3F2MK95UZ601M96Iz9N4fvegueomLLqAz4sIjS6S+VYxdaH/4L+/zLCMN\nXjmGSzXldskqU7+s5mRjcImop4aH8vNRwVv/AKrrKvn8yyV+shSK6GJ2wmZiDd7khaZBIWqNB9Hl\ne8nO7/wcacLMHl7FVwNN7kGM//dzBKdvQkwaPArnE/8PTFdO8qXMJnPP6jIONfsnmR7INPPH8RHo\nA1RGXM1QVZXDbxxk+3NbUCTfBUFkRhQ3v3ULYclXzpTvPxFXwyQtSx5q9+/EdmYrBjGXiLjOJX18\n9vUINNbEImkGYk4bjz06lEO5e6ltsKFIJrR0L2l7viPDYoLUhETGjJ6Ds6GJnOf/SnhtPUlyz4kM\nm0dHqRROpcZCU2gY1htmMHThzQBIThvVR1dSdmYvZY1VlKoS1T3sygAwSgoJbpl4nZH46ETi+40n\netAMNLqud0ucR2f3SE5xGe/mFLKjzki+EoNb6HpC2ay66a+pZUykm/n9Y5mWme7jj6HICrUnaijd\nWUzJzmLK9pZ2S1YKvIutitRoBgxzM2NoLunRhxHF9meHR9Ww0zmQlfaRFEpx9NNVMM6QR7bhNH06\neGRo65U2EkPTBf95OdrbiSFnz/SSGJerGlRR0Bzbh27952iO7Amoi3weqtmCZ8IspGkLUFL6XfJb\nu9wucvNzyD97msa6JlS3FiGI4WgwOHFRI2g4I0STI2TQrI/n1nQz9w8wM9gskPPmQfa/vNdH2/xC\nhPQJYfR3ssm6a2hAY9r/RLhllYe31rO00DfxadDAixMjuavfVe7v1QG9xEUvzuNixEWWvojZiQZ+\nOW100GMcObuLT7a+AoBYpyfyb5kIavstNu+pg6RMG4hx6C/99lVVGcfex1Bt7Uk9TewUjFk/69H1\nKLYSHPu+2y4RpahEbjahLwlsyC0NGonzf/7sR3K7ml28O+sNWivbidz40Qnc9uldCBd0nhS1SMxZ\nUUOlwzcmfnFiBA8MuPQ1hltWeWx7A5920JpPMIssm2slI7xnJLLh5WfQ7dnU9r+q0dL8vy/z8ff3\nUH2sXVZIa9LyjTUPUNZaxqFDh3ySnoIgsGDBAvr08Sejvko0Njay5JNPuPAbSK/NRx/eyvZIsLuC\nqxNoVAOhSjwWJY5kuQ6Dzk2JGo+kdj63OYVGbGI1dqHWjyARVJFQ0UKdkMxb0s24xBA2LrAyIubK\nk9w1xTX86+PdvGdJo9wYXCraJLi42bKHe0M2M9zg311gUwx8Ycvmvdap5LjT8Gs1AZINLdw7IJx7\nB3ml0ILFqqrsxHn2E05+tJUjKxJpLA9sPg2gM8n0n1DOwOmlRCX5+3MgiGiix6FNnI8mahQCIpqD\n2zG89xJinb8clipqONIykPWHEnF2yHdo9TKjbj7LkJnFaEwWdMmL0CUtRNCdOz9JQrtjDfqlbwc8\nNpwz8c6ehueGu1BSO1nH2VsxvvJsQJLFfeM9uBd/0ydGPfLuYTb/YgNqhwpVR79Ycr97PcubQAnw\nnQCE6wUeHhTCI4MsxHYojnQ4HGzbto2iIv/v3GKxMH36dOLj44NeRqNLYeqX1X6y14FglVp5ZJCZ\nh8YkEGX0nsfVsObtxdWL3vujF91FL3HRBXRGXHyZk8t9B9uTt2GCnaPJT6I9F9hcqin3sweb+VOO\nvzHVeYy16lg539ppS3dBaT5r16xBVDqQFhon85O2EaX1VseKrSpRq9xo7L6X67rnCTyzFvf4Gr4K\naHdvwPDq7xEk30SbZ/wMXA8/Ddorl3BZVezgse0NNHQgezQC/GFcOA8NtFxzhtUeu5sNT6/zaWE9\nj5Tr0pj3txv+a41cLwVX4yTdWlpM3YF1qI0HCI8pRm8KTpJ2hMeloam2D4p+EMa0bOrMCsdO5tDQ\n4kGQzWjo3u/O65FhR6+XiIiM5A3bMA40R7GoaDszK44ywlZGuthAqD64/mpnqHOZKVdCqNaG0BoV\nRt/77iI929tF5qgvoeLwMspKjlNqa6RUK/TIK+M89LJCvEsmXqsnPjKeuLQRWAfPRm/pvGuiq/eI\n3e3ik4MnWFdk44g9jBI1slvES4jqJENTz/BwF3Myopk9uD86TXtSRPbIVOVUthEZ5QfKUdzdI5Cc\nJh3G/gJDBpWRnlFITFozGp33OamoAsfcKax3DGedYxjNiplsQx7jjKcZZ8ijr66acxuir/SSGIYi\nBbELt6ccYsSTNQh53EyUYbMQLlM3jFBVhm7jUnRbVwaULPA5h+QMr7H4hJmXrdOv1d7M5h3rqamr\nxm2XEeXuX5cbN7WCQKEQSUtIKlMHDWJhrJ7i1/dz+M1DyK7AH7DZamH0t8cy9BvD0Jmvva6D7kI6\nV/X80Rl/1uyxIRZ+MyYcbSdx19WEXuKiF+dxMeLiJvNesgdO5nvDg1ejv7v+L5wqPQyAZXkCpn3t\nz7eo5BYWPbMH05jAfhVS5UZcuX+8YETENO4VREtKt69FVWWcB55CaW6PU0MOCliOBma6VZ0e+3Ov\no8YldTiOyorvfMmZ1e268KJW5K6V9xIzoP1zqHHIzF1Zw5lm33nwZyND+fGIzovHuoImt8K9G+vZ\n2kGqLtGsYdm8GNJ7KFWn3bUe4yu+HS7Omx9k6dpI8lee9hmf/uxMBt4xmCVLltDa6jvHjR8/nqFD\nh/boHC4XVFVl+fvvUGlv/4xMHif3lOfAz/4Pt07Lofzt7Di+ioaWTqQwVQGLaiVEiSdM0pAiVlKj\njaJR7tyYWkHCLtRhE6txCU1++X1R1RKmCSExdgA3Tr0Piyl40v5ywmlz8v7bW3jTHcaRsM5/S8P1\nBdwTsoUbLfsIFf27knLdSSyxTeBz2ziqZP94VUAlO1pmTpTM9GiZkYMCx6qKqxZ3/jsUrj/AsTXJ\nlB3vPA6K69/AoOllpI2pRqvz754RDLFoE+agTZiDSAj6Ze+iW/WR37ofwKMxsuNsX/YUpSEpvnF8\nWKyd7NvzSB1Vg6CzoEu6GV3yzQi6c50akgftlpXov3wHsbHW79jnIQ3NxnPDXcgDRwTu9lVk9B//\nC/2qj/z3HTUJ57eeBkt7d0jJjmJWP7ncT91A0Agk/2QanyREsKZWjxxE91cvwi3pZr49yOJDmqmq\nyokTJ9i9ezey7B/DZ2VlMXr0aPT6wHFdTp2bOStqfGTxOoNRULm1n4VHBlkw1XsJk6tpzduLqwdX\nY06kF1c3eomLLqAz4uLRz7bzQVO7vv9s0yHeiH0JuHRT7pw6N9cvqwnaJhhtENm6MJZES/Dk2tFT\nB9m5dY+fbraqc3Fj8i7CBK8Rt+D0khbaZt83cy+8z1sZcLVCkdF/+m/0Kz7we8k9+1bcdz122TXQ\n244vq/xqfxP/yPWvEokzifx7ahRT4i+vvulXgcbCBpZ/eyl1J/0DtrHfG8/4H05E7KHMzn87rvZJ\nWnI6qd2/DXvhdky6E4RZg/gSBIHbrqWpPhHVNBhjyghKlEZOFZ6hxa6i6aY/xnl4cCCLTlpEPXJk\nBk9Om0TOv15DPZ5HrLOVJJqJM7T2SCVIUaHaFUKFGkqN3owzLoZhTz5KTEoaAI0Feyk/tp6yqrOU\nuu2U6TW4tD2/90VVJcYl0UcViTOHExfbl7gBUwhLHdPmm9HTe6S4rp73D+WxvVLhhDuKOqF7C2aT\n6iZdrGNYqJMZfSO5Ias/pgsWMpLTQ8WBCkp2FlO0o4jqnEqC6hcGgxZi0ltI7F9Ln/6NWNObMYZ6\nF52VUgQbHMNY7xjGVudgwkQH2Ya8NjJjsK4UUVYwlCkYC2UMJQpCFxZSikHAlRGDlDUEedhkxJgh\nCMY+l0Ymu11o921Bt2UFmlM5nW6qCiJy1mikibORRk8Gw6URvhfeHzX1VeTm5VBaVkprkwNB0iEE\nqcoLBgWZZkHCYTATG5VA/D6JkvfykIOQVMZIE8PuHc6we0diib3yxvVfJxRV5df7m/lrAH+xaQkG\n3pgWRaTh6p8Le4mLXpzHxYiLb4auZ+64O5idHLhb0O5q5Y8fPYGsyAh2DVF/Hojgaf8NTH34GAMX\nJGIc8Zzfvqoi4djzCKqjXY5F22cGhsE/7tG1eIo/xZ3/77b/jWdlwrcF7xJ03fEdPPPv9Bs/9NoB\ntv5mk8/YmMeymfQ/17X93+xWuHF1LTl1vsd/ZJCFP4wLv+TipDKbzG3raslt8CWOL9VfRzx7EtNv\nn0DwtMs9yan92Rh2H3v/tsdn274zM5j3ygLWrFlDRUWFz2sZGRlMnz79ay/Cyt2ygR2nz/qMzS06\nSMqTv0S1tleOy4pMbtF+dh5fTWnt2Y6H8YFONWNRYrHIMfRVakEHpUo8ykXiVQkXdrEWu1CDW2j1\nIzE0qpZwjYW4mP4snP7gV0JiKLLM2s9281aBjXXRA4L6YAAYBRfzzQe53bKDScaTiB28QmRVYJtz\nMEtsE1hlH4VD9V/P6gSF+Skm7uxnYUaiMaCygGIvx1P4PtX79nBsXRL5u+JRpODzpiHEQ+bkMgZO\nLSO8TwASUhDRRI1FGz8TrScR4/v/QHtsX8Bj2VULm05nkFOZhKr6vmefAQ2Mv+s0MaktoDGjTZiH\nLnkhojHWu4HbhW7LCnSrP0KsDdyBASCnZOCZudirShFAKlS7fTWGN17wI1iUqFhcj/wv8qCRbWO2\nqlZWPbGcst2lHQ9D3xnpqPck8O8Cid1CMp5OOq4nxOn59qAQFqQa2wosGhoa2LRpE3V1dX7bWywW\nJk6cSFpaWsDjvZtn43vbfbvY4nQy9W7wCMF/J8PDZG6Pl3hkfN9OC2x78d+Jqz0n0ourD73ERRfQ\nGXEx4c2DnFDbNf5/E/k+D4VtAEA/6Cl08T2TV3LLKtcvr+FYfeAgXAA+mx3N9MTgUiS7Dm7hyIET\nfslC0eRmYeoBTB7v4kFwqkSuc6Or971Mz/SbcN3/g8urG3450dqM8R//L2DA4rrjO3jm3XHFzr2g\nWeLBzfUcrvP/fmYkGnhlSuQ16WeRt+IU659ei7uDbIg+VM/sP88nY/aly5/8N+Nam6RtpSXUHd6C\nVHcYi+UsIVH+vgSdQXKLNNVakYQMBOtAigQnRTW12B0qomLulhHxeShIyIIDvUEmNjKCrMGjcZ+p\npfyTZUS2NJEgt5Kka8Kg7b68FICkiFS6QqjCQp3ejCMqkr733EZ69jhkj5P6U1uoyNtFRW0JFR4H\nZXoNzksgMwBMkkIft0yc1kC4IYzQ6HQGXncnhrCe+8fsPlPIp8fL2NugJ0+OwSF0r0per0r0FevI\nstiZlhLKwmGZhJnak+7uVjdle0oo3lPK6Z0l2HKrEeTgGtPBEBZrx9q3GWt6E7EZTUSltOLRaNjp\nGsh6+3DWO4ZRLkcTKtgZbTjDKMNZRhnOMlrMx1pu85IYpQqdyFu3QRXBHS/iSjHhGTQAITELMaw/\nYmh/BGNcj5IyQkUxui0r0G5fg9gSWJ6k7f2NJqTR1yGNm448ZHSPOgE7e4Y0NNeRm3eEkpIimhtt\n4Ok+kQHgFtzIsoJ8yga5KsIpLYLiexyNXkPmwoGMfGgM1kGda4Vf6/j4jJ0ndjT4VRymhWr4YEY0\ngyKvbgmtXuKiF+dxMeLi22GreXzO/SSFBJ6b95/ezNKdbwBg2mLFsrFdNsgc6eTOP+7APO4FNOGD\n/fb1lK/GffLF9gFBg2ncq4jmBL9tLwavRNRjoHhjcG2dQtRqX2++CyGnZeL45cug8b2uigPlfHr7\nhz5yqNYhsdz+2d1ojd5tnZLKHevr2NKhE+LWdBP/ui4S8RLXGcfrPdy2rpZyu++5p4dq+GxODGmh\nPSMthIZaTL/+NmJje6JS1eo4PPlnrPz1fp9towfEcOund7J191Y/WZnExETmzJnjIy35dcBWUsgn\nK1bhueA77NtQzqyFN6MOGB50v9Las+w9uYGjZ/cgKZ3IX6pgUqOwKLHEyHoShVrqtRHUycElmM5D\nwolNrMEu1uLBFrATI1y0YI1KZc6kbxAbdeXltgqPF/P6yhw+DelcRgogUVPHrSE7uc2ys73b9QLY\nFAMr7KP5wjaOHc6BSAFi9zAdzEsxsTDNxPUJRoxa3w9BsZXgLniXlrxdnNiUxIlNiTibOy/ui+vf\nQP9JFaSPrUJvDhDTa0PQWqdgrI7B9MVSxHr/cweoc4ayKT+TU7V98PlyBJXMyeWMWXwGc4TbS4pY\np6BLWYwmbIB3G0lCu2cjuhXvoykrDHquqiUMz7Qb8My4GTXaN3YX845h/OsvEJt9pXlVQcAz707c\nt3yzLR5UJIXdf97Bvr/7EosA5rgQ4n+QRH5rLTvENHYIqdg7ie2TLBoeGmjhnv5mrCYNsiyzb98+\njh49GnD71NRUJk6cSEiIP8n25I4G3jrtuwYcGQHX1R7jDdJp1gaX0OxjEnlwoIX7Mi3Em6+93Egv\nrgyutZxIL75+9BIXXUCwQN/udpH2bqWPzvjG+F8wQF9+yabcz+xv4i9Hg0tR/HRkKD/ppDV57dZl\nFJ6q8EtaGMIVbk49hsbmfViIDpXItW60jR1Ii+zpuB79OYhX5wQjFud7g4Aa36ogVaPF9dBPkCbN\nviLvq6oq7+TZ+dneJlo8HaShUHkszcMz09IueSHzVcPZ5GTzLzYElIaKzozmhn8uJDL94sF7LzrH\ntT5JN505TeOxbSiNRwgJK8Ic3j0zZ4Dm2lAcjlQIzaQmzExBQx2NLR5U2dhtj4zzkHGjik7MJkiM\njSU9JYvCVz/GUFGD1WMjgRZiDTa/irKuQlGhzmWhUrVQqzXTEhJC2OSxjLnvfhRZpiF/G5WntlNR\nU0SFy0aZTsSmu7Rnp6CqRLlkYhWINZixRvYhJjmLmAHTMYTFdutYLreHpUdPsvpsE8dtZgqU6G75\nYwBoVJlEoYl+hhZGRgvMHZDIqOTEtmSG5PRQmVPJoa3F5O0qRc6tRO/onkcGgKhRiEpuwZreTGx6\nMzF9myiPimK9azgbHUM55EpHRoOAQoa20mv2LZ7m+tpjpJfXYCxTELqoduaJFHAlibiTNHj6hCGG\nZ6IJ64cYmokY2q97ZIbkQXNoB7otK9Ec24+gds6kqJZQpNFTkLKneyvutF37PrrzDGm1t5Cbl0NR\ncQGN9c098sgAb1eGx2lHqnGjFioIJ0SE6vbzTZ6UwsiHRpM2Pd1HD/4/CYdq3dyzoZ4yu2/yJEQr\n8PKUyMtiynul0Etc9OI8LkZcfCd0Lb+75YGgz73XV/+OgsqT4BGI+ssARFs7aZd9+2lGfsMapNvC\njWPXt1Bd7YlFbcI8DAOf7PY1qLIL58GnUFq8z0LBoRK9woPGFviZq2o0OH79Tz/fIUe9nffnv0Nr\nRbscrz7MwN0r7iU8xSsZ1OpRuHuDv3zT9QkGPpwZfcnedVvKXdy7sY7mDuuJsVYdH8yMJsbYwzjC\n7cL02yfRFJz0GS68/gk+fK7YRxLQFG3iji++weGCHE6f9pWOio2NZf78+eh0Xy85qzrtrPvX3yky\ntUs56SUPdwxIxnj9jV06ht3ZysH8rew9uZGG1k5kpPASDWbFikW1kiI5CNE6KBficCgXf857cOAQ\n67ALdbiFFj8SQ1BFQgUzYZZoxo9cyPB+wf1kLgfcDjeffbCND+oFtkb1Rw0iNXQeow35LDTvZYF5\nP3EdvMcAGmQLK+2jWGYfy07nQOQAnSmhOoG5yUZuSjMxM9GI6QISQ2ktwF3wDu6KXRQdtHJiUxIV\nJztfX2p0Mmmjq+k/qYKEwfUBhRQEbRwhRbGYdhxHcAQusipvCWdnUT8/AkNrkBg6p5is2cUYLN7f\nhhg+GF3yYjTWCQiCxut3dmQ3+mXvo8k/FvRcVUFEHj0Zz8xFPjJSQl0Vxv/7BZqi0377yKn9cX7n\n56gJqW1jBRvPsvYHK3E2dlhnCRD1vVic4S5caNgrJLNDTKVOCN4BqxNhfoqR+zMtTEswUFFezrZt\n22hp8Zci12q1jBkzhiFDhiBe8EE7JZVb1tWyo9Lts/3YGC2feNbz0cEyXk6cTZExeCGLRoBZSUbu\n7W9mdrKxtwvjvxzXek6kF189eomLLiBYoP/Onhwez41p+98qNnEo6YcIAmiTFmLIfLRH77e+1Mmt\n6/xb+c5jVqKBj2ZFB0yOK4rC0jUfUVvqT3qE9zGwIOk0aoO30ka0nSMtOshDSUPG4Pzh766oL8Sl\nQLt7A4bX/ojg9l1IKBHROB//DUq/IVfkfYtaJJ7c2cjmcn99/SSLhmcybAwLU665B3DR1kLW/3i1\njynheWTeOIAZf5iD3vKfr2n+VeA/aZJWFIWm07k05W5HbTlKWGQxxpDuJ6qdrTpaGhPIMw5mmSec\nOE8jobIbrWJAi6lHFeMAEg4EjQuLWUtiXB+iCKNuyXpCGpqI9dhIEFuINnSvg6QjWtwGKuUQqkUL\njUYzaloCwx96iPCEPjQXH6DixGYqq85Q4WilUgMNhp5VTl4IQVWJcsvEymDVm4iJiCM2OYvoAdMw\nRgQ32bsQDreb5cdOs7GgkZwWEwVKVLc7MgBCVSepmgYGWpxMSrCwIKsf1jCvZq+qqJw+Us229YWU\n7CtDd6KS0Kaefd56kwdrejPWvs2Y0l3kJ/Rhn7Y/25yDyZfaq3UtgoOxmnzubN7J9KpcUivq0Lq7\nFn8oOnAniLgTRFyJGhSLALowxJB0xJC+7X8tKQhi55+V0FiHdvcGtDvWoinOv+h7qyFhSGOmIo2d\n6l3odkJiXMozxOF0cPLsUQqK8qmrbUR2Cmh60PUEIKtuPHYHcq0HtUhFOCESGWIl665hDL5tCKao\na8vAuiuossvct6mePdVuv9fu7mfmd+PCCddffdJRvcRFL87jYsTFD2N28csbbw28r62eFz75ISoq\nhgORhH7Z7hWhM0rc9cI2wqY8H7jbovRL3Kdfbh8QdZjGv47YSZIrEFRVxZX7PHLVRu+A4l3H6KuC\nP+fdN96D+9Zv+R5HUVn6wBKKthSBrM9CAAAgAElEQVT6jC/410Iy5nifrY0uhdvW1bKvxjeuGR2j\nY+ncGEJ0l/Zb/+SMnce2N+DpwLfckGLk1amRmHvayamqGF55Ft3uDT7DdRNv451/i9iq2+VtRZ3I\novdvo1Qp86vCNpvN3HLLLRiNwTv7vxIoCkX/+ANr9TE+w1ONCpn3frsHh1PILz/K3lMbySs9gnKR\nIgONasCsxBCqRNJfbkTS6ahQYy9q6A3eohq7WIdDqMMpNEHH4hkVTIKJcF0oKckjmT1hMQbdlfu8\nj+85xXtbTrM0JJUyU+eeEwIKEwynWGjZy3zzQaI0/mvEOjmEVfbRLLePYZczM2AnhkUrMD3BwLwU\nI3OSjW1knNJagKd4CVLVJhrLDZzcnMTp7fG47Z1/ruZIJ/3GV5KeXUV0aoufsILgUgk5FYrpaAOC\nFLjzusYWws7ifhyvTvCRkNKbPAyZXeIlMMxeAkMw9kGbOB9d/CwEvdfzQzx9BP2qj9Ac2onQSY5L\niUvEM2U+0uQ5qJEx4HGjX/IautUf++2n6vS473wUz4yb28iO5rJmVn13GZWHfIs00YLp3lCERO+5\nK8BJIZY9+n7kXsSnJSVEw739zdyZbqDiZA5HjhwhUJ4uOjqacePGkZiY2DbW6lG4bV0du6p8Y6Dx\nsXqWxZ0m9I0/stLQj5eSZrMxMqvT84g1idyVYebeTDP9wq/OfFMvriz+k3Iivfhq0EtcdAHBAv0H\nPt7OF7Z2f4ubzbv5u/VVoOem3OU2mSlLq6lzBQ6kkiwatt5kJSpAFY5HcvPhF2/jbOgwGaKSmB7N\nzPizSJXeQFZsUYha60HT2oG0GDwK5/efu2Qd7isCWUL/yasBja7kflk4H3/mspmgXghFVfn3CRvP\nHGjGJvnfCgtSjLw0OZKa4jPAtfMA9tjdbHtuC0ff9ddo1+g1THr6OkZ8c9TXrmn7n4T/5ElakWXq\njx+m5dQOsJ8iJLwUc1jPTLTzPX044k7FaA/HLMpUOVWcLg2iauq24feFkHCB6MRoAGtUBJYmBWlT\nDpEtrfSRbSRoWgjrofF323soIjVuCzWqmXqNiRazGe2Avox+5FsIcjPVuRuoKs2lurmGStlD5SX6\nZlyISJdErKxi1ZmIDosmOi6D6IzxhCRktXloBIJHllibm8eaM3XkNBk4I0fRKnR/8SyoKn2EZtJ1\nTQyPUJiREct1mX3RabR4FJXtR+rYtamIiv1lmPNriKtqRNPD+MAQ4iY6pQW1PxT0jeNYVCp7hIFU\ny+2diFrFw20te7izficTa/KItHedOJHCBVyJIu54EU+ciKo79xwUNAjm5AvIjHQ0oeltC9qOEEvO\not25Fu3O9Z0aPZ6HarYgDZ+ANHoyclY2mHwJgMv5DFEUhaLys+w7mUtpZSVapxujqu85Wai4kOxO\nlDqJSGM0oyePY/DUof9Rc4hLVvnx7kbePu1/LyVZNLw0OYJpCV9zoq8DeomLXpxHZ8RFtNjMExnN\nPDl5XMB91+7/mG3HVoACEX/vj7a2/T4fOqeIiY+FYhzxW7/9VNmJY9eDqO52mRRt0s0YMr/T7fP3\nFC/Bnf9q2/+hezyYTwaXhVTik7H/5t9+2vN7/7abXX/a7jM26uExTPn5NMBrxL1obZ2fXO/ACC0r\n5sUQ3dNOCLxriudzWvjdIf9q54cHWvj9uHA0l1CJrFv2HoZPX/UZcwwez7vbBlN91FdKZ9af5uLu\nL7Fvn6/krsFgYNSoUWRldZ58vOKQJeTX/8T7HgvOCxL6CbKT+Q8/hnCJ8lUt9kZyzu7kYP42ahrL\nL7q9VjViVqxEyGFkqI04dQYq5LiL+mGAV+bUKTTiEBtwCPUogn+hj0bVEiqaCbfEMmHUjQxJH9Gj\n67oYZI/Eik928lmJnTXRmTguog6hQeY6Yy43mPczy5xDjMb/3m2UzWxwDGOtYwSbHVm0qv55BAHI\njtUzL9nIvBQjmeFaVFctnpLPkMpXIdndnN0Xx8ktiVTnd56ABwiLs5GeXUV6dhVRSb5+k6JNJeTw\n/2fvvOPcOst8/z1VvY403R733pK4JrYTp/dCDbCBy3JD2YUEdhcubS/c0AkLC8suHUKAkAAJCaQ6\nCYkTx0kcO3bcy9jTe9GM6pFOu3/ITZam2WOnMN/PRx/NHB2dc0Zz9L7P+/yeYuA8ZBbpRUeJZdy8\n1JLvgWGe0MS7lICBICNFV6FUX4UYWoIgiAg9HShPP4iy4RGE9NBVMmxRxFy0Ev3CazAXr0DavwPH\nz76B2F+c+WMsXEb2ltuxK/LCsJkzefk/N7Hlx5uxT2x66gDnLV7EysJ7b9AV5VD1Sh5stcgM1SQV\nEI9kP1xXYeE49CIDPaX7eNTW1rJ8+XLKyvL+lYRu8fYn+tjcUyhenF+hcv8ym9Avv4m851X2uGv4\nUc1l3F25hpQ0vE20qkLl5ulubpjiIvgm6Bs2wfjwVvaJTHBmmBAuRsFQhv65v3qNwxyPAPlO+Fe8\nx7fxlJtyG5bNdY/3FinZR1FFePzqKOdGi6M9Y4N9/OmheyFb+JqNxeyFU1jhfRWzewMA0qBFaH0O\n6aR1t7F4JdrH/1/J5lKvN0J3O86ffQPpQHFdRv3iG8i+7+NnJEOkflDnEy8MlPyfuGWBO5b6+dAc\nD4IgvKkG4PYtbaz/18cYbCyuyR6ZG+Xy7139lq9b/nrwZrpHThfLskg2HmJgz8sY/btwKE34o7GS\nKd4jYVuQ6POTSlfS64rShkJ/VkTXFSTbdUpNv49iomMJGopiEQq4cHTGcW5pIZRKUW6mqRBTp52Z\nAZAzJXpyHrpxE5NdJL0e3OctYNHN70br2kXXwU109TTSmRqkS4I+h4w9Tg5fp2ER0U0iSJQ5vURC\nVYRr51E2a03JPhqmafLsgcM8drCbbQMKh4wQA8KpRdCrtkGNMMAUNcX8EFwwuYyLZk0laUpsaEiy\n+aUO2ra14zrUS21bH6GB1MgHHQLJYaAtUGmdF2FvVS073FPJcGROtG3mpdu4pu9V3tH3MksGm5AY\nnW1iC6BHBXKVIrkqCT0q5HPeT0BQQwWZGYKnDtE96Xi5SMtE2vca8svPIG/ZgJAcufG9rSiY887D\nOHc15pJV2MGyMzqGGJbN+sO9PL9nJ1pvMxVWioAtIp9iVgaAYWcRBYtwRYjqmlqm1E6nKlpbUILg\nzYZt2/xiX4rPvjxIiVgGbp3j4ctL/XhOMyJ7vJgQLiY4ynDCxTLHQd6/ZDa3zCvO3MvqGt/546fQ\ncmmU/T4C90w59pogWbz7Wy8QufwbJbMtcofvRm+85/gG0YH7/LuGFHuHwux/FW37F8nHF4PzoEFg\n09B1AW1FIfOF/8KaOqdge8umZv78vj9iW8c/iqrzqnn7fe9GUiTaUiY3PtHLwcHCYy8pU7j/8rLT\nEi36NJMPPxfj6bbiAIk7lvr5xALvaQm90qsbcX3/iwXbzKo67o/dyMHHDxVsP+fD5xG4NszmzZsL\ntrtcLhYuXIjb7X59bVVDR/7RV3kw56DDf3w9ItkWb7vxBoLl49cnwrZt2voa2HbweXY0vISWG9nm\ny2dilBG2vEyzkqQVD11mFGuU5RhzJI+JGKVKSgE4ceGT3UTDU7lk5TvPSG+MvrY+fn//Zv5ietkc\nnDbi/gIWyxz1XOHexhWu7SV7YmRtmU3aHNanl/BkZjEdQ/QJmeqTuLTGycU1DtZEcqjdj6G3PAj6\nAIOdLg5uqqJ+UxXJvpGDKYPVSaYt72Lqsi6CVeljmRhSzMoLGM1DZ9Yksg62tk1hW8dk0vpxH8hR\nAWP+pS0FGeWCqyrfzLvqcgQ1CNkM8qanUJ56AKm1YdjrtAJhjAsux1i8CuWpP6O88mzRPrasoF99\nM7lr3weOvNO/e1cXT336CXr2nPB5uwUc73Yj1RTaaIqisHTtJTyTDnL3gXTRWHYyPkVgbTDLlN6d\nTNa7St7BM2bMYOnSpfh8PuI5i7et72XLSdloaypV7rskSGD9H1Dv/wWCZTEoubi7ci2/rLqInd7J\nw16HKubFlHdNd3N5bWGJsQneevw9+UQmGB8mhItRMJShX/bLZkzhuAH7Us1nmCT3oc6+DaXm6jGf\n56tb43xnR3EUw1G+uyrIP84prmFY37yPp598GtEqFC0sDJauXMR8nsbs2QTkJ/DQ+hzSSSUTjaVr\n0T7272+88lC2jfzcozju+SGClil8SVbIvv+TGBdeM+6nzZk2P96T5Ovb4kUNOQHWVjn4wQXBgqZ5\nb4YBOBPL8OJ3NrLrnh0FizYAQRRY+rHlrPjk+UjqG7O3yZudN8M9cibRBmLEdrxMpm0but1AMNqF\nVzq1DAfLgkRvgKRWSbsjRKelMJhTMI3TKzEFecHXQEOQdFwOAbcNjj1tRJpilOsaFSQpd6SQxbE3\noz6ZjCHTq3vow0VMdpJ0uNAry1h4yw1YicP0tO6kJ9ZJTy5Dtwj9DmncBA2AQNYgatqUSSplngCh\nshrCNfMJTj8f1XPcsbSrrZ1H97WwtdvgoOalxQ6ij7FPxlFk26RaGKROSTI3YHH+pCCzauvY0i+w\ncd8ADVva8TbkhYyatj5c2thLkAEYkkj7pBCdi0I01ZVTH6pGE/NzXFkuwZX927mifweX9+8gYgwd\nLXcytgS5chG9UiRXIaJHioWMPAKCqxLRU3fsIXgmI6pVyAf2IG9+Bnnr8wipoef9EzHrZtJTO5P4\njIVUX3T5Ge1BlTVtnm7TeOBQil3Nh5luNDLF7idiG7hREE+hV8ZRLAxE1cLjc1FWFqG2uo5pk2bi\ncr65yktt783xsedj7B0odgpM9Un8aE2IlRWvfyDIhHAxwVGGEy6ud7/Mxy66hlUl7tmX9j7JIy//\nFoDAr6aiNB5v3jp9ZQeXfNaB65zibAszUY+25XawjxvSSt27UKf/45iu20q3k9lyGxwZp5Uei9Dj\nOYRhpmDt1s9hrL6iYFuqK8k919xNuue4Y9oVdvGeR9+Pr8pHQ9zg+id6aUkWGv6rKlTuvbTstErB\nvdKd44PP9tOaKjy2KsL/rAnxjmmnN/6JLYdxfeWfELLHF3im28df5Q+y+y+HC/adcslUwh8sZ9++\nwh4YiqJw7bXXEovls2NeN1s1l0X9r//LEzmV+kihs3P5/LksPn/1GTu1buTY37qdnQ0vc6D1NQxz\nZPtDtGVcdpiw6WG6lSWnOOi0RldOCo5nY2jCAJo4iEGmWMiwBTyCC6/ioaJ8FpetfCdB39jEv5HY\nv6WePz27l8eVKDv9k0b1ntlKG1e4tnGJewfnqIeRSqQ37MnV8kxmAc9mFvJKdgZ6iWAIRYRVFQ4u\nr4ZrXa9QMfAoVuIgtgUd+0Mc3FhFw5YKjNzIdo+/IkXdOT3UndtD+fRBRDHv//DsMnA2WENmYBiW\nyJ7uKra2TaE9cfyzlRSTmed3MP+yFkI1JwTXCBJS2VLkikuQIisQRBVp33bkZ/6CvHUjgjH8vWNV\n12FW1SHv3IyQK+4ZaEUqyL7n45jnrQZBwNRNtv7kFTZ//0XM3JFxRAH1Rjfy7MJ7TRAEVq9ezezZ\ns3mxK8evD6R4qDFT0qdxImFJZ6HezDlWO9UkCm5DURSZP38+S5YsQRNUblrfy7bewr9xbZWDu9eF\nCbfsRfqvL+E4kmlsA1t80/hl1UXcW3EBiRGyMPyKwLV1Lt45zcXqKsdEP4y3IH/vPpEJxs6EcDEK\nRqoJC1And7Op5nMgKrgvuAdB8Y3pHH9r03j7+r4h4z/fNd3FT9aEiiJxXty2gR1b9hZFHFtijnXr\n1jI58QfMvnwKsNxnEXoyh3iSn1BfdSnZWz8L0unXXx9PhHgMxy+/g7zthaLXrGAE7bY7sKYXR3ed\nLutbND6/eZD6eLEzwqcIfHVZgPfPchf9L97IA7BlWuz6/Q5evHNjcaMvIDAlyBXfvZqq86pLvHuC\n8eKNfI+cTX53MMW/vThI1jSZrbSx1HGI8xyHWKw0MEPt4HTs03TcQW88QrNYRo/lIWU4sUwn0mmK\nGZBvUmwKGqKo41BsHD1xQo0xaroGqbRTlMspvErpjLmxYloCsZyLPttNn+girjjJBnyE15xDxXQX\nPc076Y110J1N0SNC7zgLGpAXNcpMm7AoE3b5CAUrCVXPIjxtJfiqeGJvPRsaY+walGkwAvQKY5v3\nTkSyLSqFOJPlBLN8BpODLixXBVsGnezd00uwMS9kVHbEqOwcwKGPsgP3CZiiQGdliKbJUVqnldE8\nuZyE04VoW5ybaODy/h1c0b+DFfF6ZEYvStnikYyMinxZKT16QmmpkojHBQ1XLXLMQtnfjLplB9JA\ncTPMkuf0+DAWLMNcvBJz/nlnpEziUdKGxfqWLA82ZniqVUPTc8yiiZl2O5PswWNixqk0/j6KjY0t\n6agumWDQT2VFNVMmTaeirPoNnZ2hGTbf2BbnB7uSRfabAPzvuR4+t8RXsrzn2WJCuJjgKMOtZ97r\n3cDXr7+5qFSHZVn8558/QyzRg9zmIvjTwibXN375ZWpv+jJSsLC/nG3paFtux0oed5oLagjXip+O\naY1kGxkyWz+FnWoEQO7PB2CdvJY5kdzl7yD3vo8XbDM0gz/f8ifaN7ce3yjAjXe/g7q1U9gb07np\niV46M4Vj/8XVDn57SfiUe07Yts1P9qb491cGi/pZRJwid60Ls7ry9AROoa8L19dvR+ztPLbNQOLP\n5gc48HxhRHx4bpjIJ6pobW8t2C5JEldddRVVVVWvr62aSeP8z8/xfE5he/XsgpeqI2GuuuGmszYn\nZPUM+5q38dLBl2jq3IXECF5fAFvAYfvxmj5mYyKJCl2Uo1mjLyFokEUTBsiKg2jCAKZQbFcKtohb\ncOFR3ETLprF26fVUR2pLHO3U2PHCXh7YVM9jzkr2e0e3NgyKSS507madaycXuXYTlYozS1OWg43a\nXJ7NLOBZbQHNRuns/gqXyPsqW3m782/UZTYi2Dq5jETz9iiHN1fQurMMyxz5PnD6ckxe0kPdOT3U\nzOvHkTVw7zZx1ZvDCp/t8QBb2qawp6e6oIxU7YJe5l/eQu2CvsL+GpIbuXw1csXFiKGFCKkkyqYn\nkTc8MmIWBoDtdCNopTN9jAXLyN5yG3ZlXkzqr+/jqc88QcfWI+XNBFAuc6IsLx5HlixZwtKlSxEE\ngYGsxR8Opfn1gRS7YyPb0GE7xUK7k0VWJ5MYPLaCUhSFuXPnMnnWPG5+PsNrfYXixRSfxG8uLsPd\ntodJj/2O8O7CrK6U6OD+6HJ+MfN6XpBHvrdCDoGrJrm4rs7JumonzolMjLcEEz6RCcbKhHAxCkYj\nXLzX+xx3lv0aKboa58Ivltp9SDrS+b4WvVrpGXRRWOGxqyMFZQcsy+Lhp++nszFW7IxTc9x07Q14\nmn+IFdsOgKPRJLBRRzjJ5tLXXk32g/96RiM3TwXp1Rdw/PJOxERxKSNj0QqyH/rMuDtq9g/ofGHz\nIE+VSOGGfFP0750fpNZbWuB5ow7A7a+08eyXnqZnd3E6L8CiW5aw+vNrUdwTDbjPNG/Ue+RskTYs\n/u3FQe6pLzbO5wZlfr0uTJ2YJrb7VTKtOyF9CJerHV9kdBHpQ2EZAr19AZrNcrosP4OmG8N0IZ5m\nmaljx8fAFLKIko5i5HD0JQl3xZncNUC1kSKqJHHJY3e0D0VKV+gz3PTjYlBykFSdGCEP/gURHGU5\n+gY66dOS9GLRq4xfD40TcesmEd0iJIiEVDdBX4icZxJbjCo2pyPsz/pptYKkT6Hp94n47QxVYpxK\nOUNAsdBEJ9tSYayeHFUdMao6+qnqjFHVEcOdGZtoZAN9ZT6a6qI0TS6nuS5KLOQloKe4eGA3l8R2\nsS62h9mZjhGPVXBcAYyggB7NZ2PoUREzIFDURbIEghRESivIHXGUriRS3EYetBBTJStJHMOsmYI5\n/7z8Y/aSot4Y44Vm2GzoyPJIc4ZHm7Vjdoti55hNEzPtDmrtQcrGQcyAvFgoKCYuj0ogGKQ8UkFd\nzVQqIjVvKEHjpa4sH3s+RkOi2LEVUAU+s8TPrXM8qCUzc84sE8LFBEcZbj3zQc8zfO9d/1D02p6m\nLfz+mf8CwPfHSTh2Ha89Xz2vj2u/LpTMtsgd/g164+8KtjkWfRk5snLU12vbNtldX8PsyfejkGMW\noSeGFy2MueegffrOgmAsI2vw8K0PFjXjXn77Klb9ywX8rU3jH5/tZyBX+PFcV+fk5xeGcZzi9zae\ns7jthQEebMwUvbayXOWXF4Wp9pyeDSK0N+G6898K6uXrpsgfB95Bw85CW8s1yU34E+XE4rGC7aqq\nctlll1FdnXcivm62ajKO6z/+D9uy8PzUcwteCvl9XHfjTTgcZzeLrSVpcNWjvfSkkkxjDzPYRS2H\nkIXR2XSireAyg0y3JcKCyKAYpM8MMfyMXohOhqwQJyvGyQqDGGglMzJcghOP5MTvr+K8BZezaPo5\no/9Dh2HzU6/x8LZmnlFHn4kBsEht5CLnLta49nCu4xDOEp9ZsxHhBW0OL2hz2aTNpsssziIJiUk+\nHN7Eez3PECG/ls2mZJpezYsYbXvC2NbI9oAkm1TOHqB2YR9TZnRT1Z/AfcBkuH9lWlfY1VXDzs5J\ndCb9HP3gg9VJ5l/awvSVnaiuwnlfcESQyi9ELr8A0TcbqeEAynOPIr/09JDixEjYkox+2dvQr74Z\nOxDGMi123L2dTd9+Hj2dFw7k5SrKZc6iwMpJkyaxdu1a3O68XWjbNq/16fzhcJo/Hc7QnRk5UCdg\nZ1hod7LQ6mQKMUTyGRh102fy3b5aNsULv5cuSeCz0zWujhrMGWjH8bsfluzzdsA/id9e8FHuladz\nuIT9dDJeWeDySU6uq3NyWa0T7xukJOcEY+fv3ScywdiZEC5GwWiEi/+J/IQbPJvHbJSbls0NT/Sy\nsbO0w2WSV+LJa6JUuo8bttmcxh8e+g1asU8fZxDeec3bsfd+HWtwF9g2nu0G3h3Fk0HukhvJ/cNt\nnFLR+TNFKoHj3h+hPPdo0Uu26iT7no9hrLt+VA6g0TKQtfjGtjg/35eiVB+roCrwzRVB3j3dNWzt\n2TfaAJzqSrLxm8+x74E9JV8PTAmy7quXUrdmytm9sL9j3mj3yNlkT0znQ8/2lyyr8r6Zbu5cGRgy\nolEbiDGweyuZtl2QOYTL3YGvbPSlfYYim5ZoiJfTZpTRb/nQTDdYbiTGR8SzsTHJYgs5JCuLI54m\n0J+ktjvGjHiMCjWFKo0igm8MpHWFmOGiHxcDooOk4iAXdKBMc6OWGQxkB+jTNXpFgb4zkKUB+Sbd\ngZxJ0LQxhDBd0iSaxFrqhUkcFqpInGK/jBOPX0aSCiFBQMpg2Tathptk3ENFZ4LqjhiTOnuo7ezD\nMUJt35OJ+1w0T47SVBeltaaMrsogVfoA6wZ2sy62h4tju6jNxUY+0ElYCugRET16VNAQsZ1j+OwN\nGzlu54WMuI00aB15thFPqkZgiyLWtHmY88/FnLMEc/q8Y3WSxxPTstnck+PhJo3HmjNFi07FzjGH\nRmbYnVTbg4RtAy/yOImFeUHD6VYJBP2URyqZXDOVymgN0usUiJHSLb68Jc7P9pXu0zLNJ3HHsgDX\nTC52LJxJJoSLCY4y3HrmNv9G7nj7u4te+9mjX6W5+yBSj4Pgf89EsI/fTlf8yzZmfuDzRdkWZuIQ\n2pbbCkpESRUX45z/mTFdb67hHvSGu/Pvj1mE1+cQi5OGj2FFKkh/6SfgPy6umDmTRz76EA1PF5ZL\nmrS6jut//Ta+vzvNV1+NF2VMvXu6i/9eHUI+xRTQbb05bt0QK5m9/fH5Xr601H/a5U/Ew/tw/cdn\nCnomaYbMfS1X0tpUuK9nrg/X+7ykT3KcejwerrzySsLh430IXg9bVRjsx/ntf+OgZvLYnMJSUB6X\ni+tvvBGv1zvEu88M3RmTqx7t4VC8cG7757kK76lsZF/LNg60vEYmN/reXIrtpsx0MxUJQXTTY0fI\nWmMTY0xyaMIgWSFOTkiQE1KUqn+k2Cpu0YFb9VIRnclFy66nLHB6/Qv3b6nnL8/v429WvieGOcr5\n1inkWOqo5wLnXlY797JIbUIukfJQr1fygjaHF7U5bM7OKBAyBCzOd+7nnZ5NXOvZgutIJoqWUGjc\nWk7j1ijte8OjysQA8IQ1pi7sZHFlKzXJQZTU8P6q7qSPnV217OqqIZnL21SSajJtaRcz13RQNSuG\ncNKpBTWMFD0fOboa0TUDZftLyC8+hbTrFQRz7Pa/rTrQL77hmICR6k7x0n9uYvfv8yWgpdky6o1u\nhJOyflVZZfXa1UyfPr1gu2HZPNeR5b5DaR5u0kiVatx1Eh47y2y7h7l2D7PtHlwYtDireUCfQqtQ\n2FT9XVU6P7ysDjWXRv3zXShP3o9gFf/fzbIKXrriI/zefw4PNGmjElNUEVZXOris1skVk5xM87+x\nKodMMDx/zz6RCU6NCeFiFIxGuHit9pNEnEK+TJQ4+oHz69vifHt76WjigCqw/poos4PH6xY2tR3i\nifWPIxgnN+G2qZoS4uq1l5Pb+SWs+D4E3ca/US/ZkCp39XvIvevD4yoAnBaWhbzxcdQ//gwxXuwU\nMqfPRfvwF7Arxy8NVjNsfn0gxbe2J+jPFn9GAnDLLDdfPNdPuWtkw+yNMgBn+tNs/ekWdvx627Eo\njBORXTLLb1vFOR86D9kxMcmfTd4o98jZJKFbfGtbgh/vSRY1snVJAt9ZFeB9M4t794yE1tdLbM+r\naO27QWtCVbvwhQeQlNOfb/oyThrj5XTpQeKmD910g+1CYvx6AFmYmGQRLA05q+FJpgkPJJncH2Nm\nqo+Qemq9P4Yja0rEdBcDtpNBwUFSVsm4ZPSQiF1lk/Vk6Td1+iSBAfXMiBq2DRm8pPQq+u1qusQa\nWsQa+sXTr9Us2SZlpAiRxEkawbbIahJ0Skzp6WV2bxuRrgR0gjmKOskAuizSVRGitSZMe00ZbdVh\nQp40awf2smZwH2sH9jE522AQ06YAACAASURBVHdK12v4hLyQEcmXlzJCQ/XKGB5Bs5ESNnIi/5x/\nWEgJGzEDSBLW1DmYsxdhzl6MOXMBuMffAXRo0GB9q8aTrRobO7PkSqw7BdtkEl3MtNuYRD/ldga/\nDY5xEgstTATZRHXJeL0eQuEyKqPVTKqqw+8NjnyAceDZdo3bXxigKVnaKbG6UuVrywMsLjs7WY4T\nwsUERxluPfPNafV89MILC7a39Bzip4/cATb4756Cevh4iadQTZJ3/DCL+9xvFLzHtgy0Lbeddoko\no3sj2V1fA2ykgXymxcn9+QrOqzrIfPGHWHXH7StTN3n0n/7K4fX1BfuWzSrj8t++i0/t0nikufig\n/3uOh2+vDCCewhyY0i2+sS3B/+xJclIrOfyKwA9Xh7h+ysjNhkdC2r0V5w++WND/L51TuOfQpXR1\nFc5v/hVBhKtk9JNq7peVlXHFFVfg8RTaYGfbVhWb63H+8Eu0aQYPzF+HdYIzXFEUrr/++gJh5Www\nkLW49vFedvUXfma3zHTzgwuCx8Rn0zJo6jrIvuZX2d/6Gv2JrjGdRzVdTBHcRFHJ4qPPCmPaY1ub\n2VjkhCRZIXFMzDDJDZmV4RIdeJx+yqMzWHPu1ackZhw8eJBY2wDbdvfxfErgheAUYsro7QqvkGGF\n8wArHAdZ7jjIIkcjjhKpD416lFeyM9mcncFmbSb1RhUg4BEyXOPeyju9mzjfuf/Y/rmMRMuOCM3b\nojTviKBnRvlZChZLZrVwXk0jFVZi2HwYy4aG/ig7umqp76sgZ+bP4YummbW6g5kXtOMtK2HDK37k\nyEqkyCokZRrKtpdRXnwaaf9ro7vGE7AVFf2SG48JGH0Hennhm8/R8PRhxGoJx7vdCJ5iAac6VMUl\n116K01kczJLSLR5t1ri/IcMz7RrZUegqom0xhRhzrB7m2t0kUXlZnMQuoRLjSB/YFeUqd60LU+WW\nEJvrcfz6e0j1u0sez4pWkb7u/TwzbS1/bMzxWEuGWHZ067rpfikvYtQ6Ob/SccqZchOcHf4efSIT\nnB4TwsUoGEm4mKu08FT1l5Frr8cx659GfdyHGjP8r2f6S/a1UEX48xURLjih7ukzmx7nwO7G4n4W\nmCxaOpcVMyej7bwDO9OBmLQI/k1HiRUe3ZZksh/41BlpaH2qiIf24vjtD5AO7y16zZYkcjd8AP3a\n945bD46MYXPX/hTf35koqmV7lPMrVL6xYmyOhdd7AM70p3n1Z1t47a7SggXArOvnsPrzF+KrOvVa\n9BOcOq/3PXI2sW2bPzdk+MIrg3Ski79nswIyd60LMy80fmKAkc0Sr99Hsmk3Rqwe0WzF7e3BEywu\n0zBWLAv6dReN8QjduSBxw49uuhFsN2KJRoOng42FSRasLHJWw5XOEE7EmTw4wNxUNwFrfPponEzG\nkBkwjgobKklFJe2WyAYFcpEsg26dAVmgX5Uxx7lRXsb20EMV3dTQRyX9djn9RLFOsQH4yfhsjTAJ\nvHYKhSzeVIZp/T3M624j3J0i06Yy2OkeVbmBjFOhoypMa00ZbTVhxAicYzayZnAfawb2j7m01FGO\nlpgyQgJGWEQPCxihMWZmnIxRLGqISRvROwlqFmHNWIg5Yx52ec24BjIkdYvnOrKsb9H4W3uW5iGc\n+Efx2klm08JUu4sqO0HY1o80AR+/7AlL0BEVG6dbxef3URaOUlVRw6TKKTjU8c1I0Qybn+5N8p3X\nEsT1YitPAK6tc3L7Qh9Lo2dWwJgQLiY4ylDrmfl37+DrK8LcMLswOOi+Z/+HXY0vo+7x47+vruC1\nS/5pB3M/8hmk4IKC7bmG36E3/KZgm2Phl5Cjq0Z9nUbnM2T33gm2hTSYb8Q9nGgBoH30ixirLj32\nu6mbPP6Jh6l/7GDBfqHpYRb+/B3cui1TlA0hCvDv5/r55ELvKWVFDSdaLggr3L0uPC5RwdKW53D+\n6CsFzX/jWSf31F9KX88JOwoQuCGMudDGsgvtsNraWi655BJUtXj8OWu2qm2jPPVn1Ht/RJ/q5g+L\nLicrH78eURS58sorqampObPXcRIp3eKmJ/rY3FNoa904xcUvLgwhDWP/9Me7ONi+i/q2nRzu2EPO\nGFsQimqpTBc8BHChESBmhLBPoeSiSY6ckCx4lOqVgQ0OwYlLUHGpbsLByZwzfx2zJw/fQ/LkeySX\nybHhsa08U9/LRkeEHf7Jw729CAc6ix0NLHccZLnzIOephwhKxWWV+k0vr2ansS03jW3ZqWzPTcUn\nZHiH90Wud29mttp+/DMwBDr2h2h+NS9iJHtHJxgGnSnOq2nknJoWHOLwWbuGJXK4P8q+nioO9pWj\nGSoINtVz+5m2vIsp5/bg9JVYkwsKYnA+ctkyZGEays79KFs2IB0q9oUMhy1JGMsuIvfOW7EjlbS8\n0MzzX3uW3rYe1BvcSJOKxxshK7B4yiKWXrNsyHEunrNY36rxl8YMT7VlSY8iEwPyJaVm2H1MtgdI\novKaWE234KXcJfKztWEurHbkg1WffwzHfT9BSBX3QQGwyqvJ3fABMisuZlOPyV+bNB5uygzptzkZ\nlySwskLlwioHF1Y7WBRWhv3eTnD2+XvyiUwwPkwIF6NgJOHiQ74nuSN8L86l30fyzy61axEb2rO8\n88nekhGJAL+4MMTbp+XLaWS0NH96+B60WPFlWGKOSy+7lDpHJ9m93wUri9JpEXy2uAas5QvmG1rP\nWjSqazzTCIP9qH/6ecmyUABW1WS0j3wea+qccTlfSrf41f4UP9iVHDIFcbJX4ivLAlxfN/ZSDq/X\nADwawaJsdoSL/t/F1K4amyE5wfjy9zJJ7x/Q+fRLgzzXUXrB9q5pLr57fvCs1SbN9PUyeGAHWvs+\nrFQDqtSBJziA6jr9vhOWBT05N+2ZED1agEHdR9b0YFsuJMa/PA/kF6S2lUU0sji0DL50img6Tl0m\nRl1yEK9eehw4XbKmxKDuJG47iAsOkrJCyiGT9ggkAxaxsiwxj0hcHR9ns2lLDBChj4oTHpXEGb/I\nS9k2CZEiQIqglSCaiVE32MPUrh4CrWm0dgfxbteIgkbc56KtJkxbTRmZqEqtJ8Yio4XliXqWxw8R\nNkZfSuJkdLeIFQb9iKBhhAVM3+h6ZoyEmLaRkjZiVkZQowjBOoTKediTliCEpiJIp19P3LZtGhMm\nz7ZneaZd47mObFEt+dJvtKimh2l2O5PsfqqMOAHBwikq4yoW2tjYoo6kCjhcKl6vl3AoTDRcQXXF\nZIL+U88G6smYfGNbgrsOpIqir49yQaXKJxf6uLTGcUZKSE0IFxMcZaj1zFX3PM2dV6xhwQnBOgPJ\nXr53/6exsjahH85CGjz+WvW8Pq75mo373G8WHMdMHEbb8omTSkStwzn//4z6GvX2x8jt+wGQL4kX\neiKHNELsQe6qd5O7+WPHfrcMi8dvf4SDD+8v2C84LYTze2/jX3ZmikqihB0iv7gwxLqasc/bA1mL\nL7wyyO8Olq5ff8tMN99eGcQ1Dk1l5ecexfHL7yCcIES0DIR4sGk18RPWiUJIxPveAGaoeL0ze/Zs\nVq9ePWSfoLNiqyYGcP7828jbN9HtCfHQvItIOgrLSK5bt44ZM2YMcYAzQ9a0ufmpPp5pL7RfL6tx\n8LtLysbUp8gwDZq7Dx4TMdr7GxmrT8Rhi0wWvYRsD4btJ2aGxpyRcZQTxQxdSOcfZEqWmZJtFbeg\n4pSd+HzlzJy6nOVzV6Mo+WCjke6Rlv1tPPb0Dl5OwEu+GtpcY+9LOU3uZImjgXPUw5zjaGCe2lIy\nK+OQXsG27DS25aYSMz3MVtq40r29QMSwbYh3uWnZWUbrzjI69odGzLyVRJOZZV0sqmxlergHscTn\ndCKmJdA4EGFfTyUHeitJ6w4E0aJqToxpy7qpO7cbl7+0fS44y5HKliGL03E0xJG3b0Hat23U5aRs\nwA6EMc9dTW7tNezdprPpP18kU51BuciJUGLskRpFFs1cyIKbFuEMDD3upQ2Lp1qz/LUpwxOtGvHR\n2G9HKLcTlNtJUqi0CEFumu7ljmUBqtwSJAZQH7ob5Zm/FoiwJ2JVTiJ3+dsxzr8cy+nile5cXsRo\nztA4ip4YRwmoAmsq8yLG6koHs4PyKWXUTTB+/L34RCYYPyaEi1EwknDxq+gPuKKsD9fKn41q0bm9\nN8e1j/WSHEK9vmOpn9sW5iPiDzcf4MmnnkQ0iyNiJI/J2659J+7uB9Cb7wfLxr3bxLvNKLJBzMnT\n0T75deyyihGv74yTy6L87S+oD96FkCl25tiKSu6a96Jf8x5QT99pktAtfrUvL1gM1QDdIwv8yyIf\n/zzfi/MUFxZnewAebB5gx2+2s/N3r6GnSk/4roib5R9fyaJbliCegQa9E4yNt/okPZC1+N6OBP+9\nu7gsFECtR+Jry09NGBxvLMsi3d5KomEf2e56rFQLstCJyxvDHRghtHOUZAyJNi1At+YnlvOT1H3k\nTA+C7Rr3LI0TsdCxrCySkcWRy+DTUpRrg1Sm41QlEkQy6XGMYy8krSvETUde3BAdpGSZlEMi5RYY\n9EJPyKQnbGOfhgMnZ6v0U04flcfEjD4qyDC+5Y8E2yZAhrCdIJqLUZ6MUREboLw7Tqg5jdEskcsM\nnTGUcqt0VYTorAziiBpM8vQzl3aWJQ6xONmMzOgix0qhyyJaSEEImVghMAMCRkDEcjGumROCoSCK\nAQR3FUJ4GoK3BsERQXBEEZ0RUAIIJxd1HgHTstnRr/NMe5aNHVle7s6Nqq7yMWyLSnqZnWtmRq6b\nclnDo9gojK+gcRQLA0G2kB0Sbo8Lv99PJBShIlpNZbQWxyjslL0xnS++MsjTbUNH384Lydy+0Mfb\nprpOu/b9iUwIFxMcZaj1zHvvfYi73nl9gVP2sVd+z6bdj+N+ugL3c+XHtguSxdvueIWqG76F5Jt2\nbHu+RNTtWMlDxw+sBHGv/CmC4h/V9ektD5I7+GOAfHmo9SOLFsb8pWj/+s1jWdmWafHEJx/lwF/2\nFeznnFHGgS9cyy+aiqPOF5cp/ObiMJO9YyzRY9s81KjxmZcHSgZE1Xokvnd+kMtqxyGIwTJRHr4H\nx/2/OLbJtASea5zFiy0zOXGpLS9VUS9zUWqiX7p0KUuWLHlde/ZJe7fh+PHXEAd62RudwpMzVmCe\nlFW/bNkylixZckbOPxT9msmHn4vx1Enj9KoKlfsvLxuyD9toyWRTNHcf5HDnXho69tLZ34xdsu7C\n0Ig2VEsuovgQLR9JM0jGOvXSYzYWOhl0IXVMzMgJqXzW70m3iGCLOAQHTkFBlVQcaoCpdYtYsfBi\n/O6hv+OWabLr5YM8+8phNmclXgpMplcd3ZhwIio689UWFqpNLFSbWKA2M1ttKxIzTFugXq+iyYgi\nCybT5U7qlMLG0EZOpPNAkNadZbTvDdPfMnwlAo+qMb+8nUWVLVR4S5f4PpmORIBDfeUc6o/SlggC\nAlVzYkw5r5vahX34y4ca3ARE71Qk51wc7RLq/lbkPdsKysKNhK06MGYvoVOYzMub07TM80B1sb1q\n52zMrTp1gcksetdialZOGnZs0C2bl7tzrG/RWN+qsa9E38LhCNgZFMHmwroQnz8vwDS/jBjrQf3r\n75A3PIJglj6e7XSjX3A5+iU3YtdMwbZt6uMG61vzmb2burLoYzCpQw6BFeUOVlWorCxXWRJRJ0pL\nnWXe6j6RCcafCeFiFAwnXEiY7J50G+EZ70ad8p4Rj1U/qHPlo71DOtBvnevh2ysC2LbN0y88yuF9\nrUWlEmwsaqZHufL8deT2fgsrth1pwCLwgo7SW3ypxtK1aB/+HDhOv6bqaZHNoDzzV5RH70Uc7C+5\ni7F0LdmbP4YdrTrt0+0b0PnF3hT3HkqTKFGqAcAtC/zjbA+fWOClwn16rryzMQDblk3ThgZeu3s7\njc8cZih71xVxs/Sjy1n4D4tRXONXimeC0+OtOkl3pU3+Z3eSX+5PlfyuKSJ8YoGXf13kw3OWsixO\nB20gRvzQHrT2eox4E6LZjsPZhzeYRJRPfz6zLIgZLtozfvpyfuK6h4zuQbfcYLkQx7GXRilsLCw7\nl8/QM7I49QyBXIpgNkk4naY8laQqmcBRooHeeGBaAknDQdJSSdgqSVEhqSgkHRJxt0i/X6AnbJHw\nG2MSODTbyQBRYkSIET32GKQM6wxINQ5bJ2SlCGUThJIJwgMJgt1J/B0anhYNdyKHeNLtYkgiPVE/\nsQovgfIMkz39zBHaOTfdeMq9Mk5Ek2USfidWUEQJ6IhBAyNwJEPjTKTJC/IRISOC4IwgOqLHfhaO\n/qwGhxU3dMtmR5/OC51ZXujK8WJntmR5pRGxLaak21lstjPVGSfsyObLPBg2gikjnEK5jRFPiY0t\nGAiyjeqUcbqc+Lw+QsEwkXCUikg1Pk/gWGTzU60ad2yNs6N/6KyoWo/Ee2a4ee8MN1PHoazMhHAx\nwVGGWs989N4/8OOb33Xsdy2X5jt//BR6p0Xov2cinNDsduEVTaz+7HLUabcUHOPERtpHcSz8d+To\nBaO6tlzjveiH78q/r8HEv0lnhCotGItWoH38/4EjLwxk41me/PTjHHq8sDxU6wUzefS6ZbRpxX/+\ne2e4+Y9VY8+GeK4jy1e2DvJKT/F3WSC/nvv38/z4xsHmEbpacf78W0gHdh7b1pvy8NDec+lMBo7v\n5xdQr3MjTS0eNxwOB2vWrGHq1Kkjnu+M2aqmgfrgr1H++lssBJ6beg7bq4uz6ufOncsFF1xwVgNc\nNnZm+fCGftpPKm26uEzhL1dGCKjjP39ksikau/bT3H2Q5u4DtPU2YlpjzwT2ixLlohef5cW0/CSM\nIKZ9ejaPhXEkIyMvZOhCGkPIDNk7Q0XFKSg4ZAduZ4BI2RTOmX8hdeVTio5t6gZbN+xm065WXs3J\nvOqtovUUMjIAZAxmKe0sUJtZoDYzV21ljtJKWCoOjIyZHkxEgmIS+aQITy2h0LE/RMfeEO37Qgy0\nDx0IU+6Js6CilTnRTkKu0llWJ6MZMg39UQ71R2mIRYlnXQQqU9Qu7GPSwl4q5wwgK0PZ3AKieypq\nogJHaw7lQAtSe/OoznsUS1LplMK0RsJ0BKK0+yNoynFB1c7Y6C9mcXc5mf+2hcx9+/xRlZVuTBg8\n2aqxvkXj+c4s2hj7jYcVi4tq3Cwtd7BUSbD0hfvwPf/XYTNNjDlL0C+9EfOc1SDnx7qEbrGhPcv6\nVo2nW7O0pcd2IQ4Jzo2oLIuqnBdVOTeiUOuRXvcgu7cyb1WfyARnjgnhYhQMJ1ycqx7ir1Vfx7Xq\n14iu4bMZ2lMmVzzaQ8sQtZ6vmezk7nVhOrqaeOLpR7FKRHJaYo61F61lVtRJdudXsDNduPccybIo\nMd9lb/og+vW3wBDpwGeFTBrl6T+jPP5HxMRAyV2s6jqy//AJzPlLT+tUumXzSJPGz/cl2dg5dB14\njyxw61wP/zzfS3QUjbdHw5kcgLWBDLvv28XO325nsHlwyP0mBIs3Nm+1SbohbvCDXQnuqU8P2cRt\nXbWDb68MMDPw5r8fjWyWZPNh0m2HyfU1YaXbEe0eHI4Y7mBymEXH2IjrKl1ZH71ZH4O6l5TuJmt6\nsCwXgu1EGLZt4Phh2TrYGrKRxWFmcOsZvLkMfi1DUMsQSacoT6dwG6dfcqv0+QWSukrCdJBEISGq\npBSZpCoRd0kk3AJxL8R9Fknf0CKHaYvECR0RNY4+IsQoR8Nd8j3jgWwbhIwkgUyKYDxNMJYk0JPG\n06nhi2n4EhmcWt7pFfe7yJQ78EU1or4Ek5V+ZlqdzNHaUe0xrgRLoAsifV4vKZ8DQuAM5HD4M9h+\nAcvJuGZpFCHICGoIwRFGUMuOPIdPeC5DdISPZW+Yls2umM7m7hybu3O83K7RXMLhOFpUw2CqnuE8\nTy8zfHGCcgIxm8TQsphZEO0zOzZZmCCZyKqIw6XidrlpkKt5OF7LtsTwkdjnV6i8d6abG6e4Trm0\n3oRwMcFRhlrPfPbe+/jmze8+9vsLux/n8c2/x/+7OtSDxyOj3cEs7/p+G/6130cQj39vjL6tZHd8\nCezjc4FUfiHOBZ8b8Zps20Y/fBd6031g2vheMXDvH3nM01dcTPbDnwM5fx2d2zp47BMPE285biPH\nfS6eumkFr00rDoZSRPjWiiAfnO0ek3Nqa0+Or7wa59n20tlTswMy/7U6yPLy088Yx7JQnn4Q9Q8/\nQcjlz2fbsLW9jqcPzcOwjqxfBJCWKKiXuBBK9ESaPHkya9aswe0e3Xx3JmxVadcW1Pt+jNRcT1Jx\n8sicNbQHyov2mzdvHqtWrRqyjNV4Y1g2d76W4M7XEkXl/GYFZB69OkLEeaZyVE+6FlOnva+J5u4D\nNHfX09JdT1Ibes03FKINUVklKHhw2l4s00fSCJy2mAH5+cxAwxAy6EIGQ9AwyP9soReJGpKt4BAU\nVEFGlR24HAFCwWpmTFnCvLpFx0pPHXj1EBtfrmdr3GCbK8I+bzXWGLM5T6RCGmC20sYcpZU5av55\nmtKFTyzMqLbt0uZPelClY1+IrgNBuuqD9Ld4se0ixYYKb5w50Q7mRDqJeJKjvr4BzUXzQBnNA2Ga\nB8uImw6q58aonhujanaM8OTEsK4bSQ/i6A3i2N+P0tqLYI59/RFz+uj2hunyhuk+8tA0GX1jFmNb\njqrF1Uy/cibTr5xJsC444vGyps3m7hzPtmV4sjHOroSINcb1iiTAfB8sHzzI8gPPsjR+iLnpdpQS\ndrAVCGMsvwhj+TqsGfOP+bps2+ZQ3GBDR5YN7Vme78yOusH3iZS7RM6NqJwXUTg3qrIorIybz2iC\nt55PZIIzz4RwMQqGEy4+4X+Yz046gGf5fwx7jFjW4upHe9g7RErdxdUOfnWhnw3PP0RHY1/JhpSK\nz+Lt174DR8/j6E33IsWy+DfqqCWyLGyvH+2Dn8ZcumY0f+KZIZVAefIB1PV/QkiVTqu0XR5yN/4v\n9EtvOqaanwqNCYPf16f59f7UsI2bfIrAh+d6+Kf5XsrG2RAd7wHYyBo0bWjkwF/3ceiJeszs0M5B\nV8TN0o8sywsW7jPb6HOCU+etMknv6Mvxg11JHmjIDFm3vcYt8fUVb4yyUGcDyzRJtTaRbK4n29eE\nlWxHNLtQ1BieQBzFefrOZwDdEujSfPTmvAzobpK6h4zhRrdcWJYTwXackcjy4bAwwMoh2VkUQ8Np\naLhzGXy5DL6sRkDLENQ0Ipk0bl0/I1dn2ZA2VFKmSspWSAsyKUkhqcgkVZmkSyTuhoTXZsBvkvFY\nIAlototBwgxSduT5+M8pAiOf+DRR7Rxhc5CQniCkJQgMpvH0ZHF1Gjg6dRyGScifIRxOUeGNM0Xu\nZZbRQcgcXZTfaMhICj1uHwmPE90rongN3H4NdygDPvIrybOBIOaFjGMix5Gf1SBx28e+lIdXep08\n2yyxOeMhLZ6e4OCyTKYqMC9sMdfbR5nZhyM3gJVJoqWzGDnrjGVqHKUVP8+K09ghVGEPM066Jbiu\nzsl7Znq4oNIxplJSE8LFBEcZaj3zg0ce47ZrrgLAtEy+d/+nybyaw3/PlIL9Lvrwbhbc9nkk33Eb\nxujbSnbnl8E6IfNACeBe8VMEdfgx1LYtcgd/gtH6EGLSJrghVzJz/GT0ddeTff/tIErYls2rP32F\nTXduxDLy9r8lCLyydAZPX7aYrFo8TtR6JH55UWhM4sLufp2vbYvzaHPpUpKKCP+yyMe/LPKNS8kR\noacDx8+/hbxv+7FtiayDR/Yv5lD/EYe/ANJ8BWWNA7GsxLpRUVi1ahWzZs0akx02nraq2LAP9Q8/\nRd7zKgBtvigPz11DWi2sAiBJEqtXr2bWrFmnfc7R0po0uPW5GC92FQe6nRdR+O0lZfla/K8Ttm0z\nmOqnrfcwbX0NtPU20N7biKaPff4XbYjIKkHRjcN2I1heNMOHZo5fNYa8qJEXM/KiRuaIyJEdsvSU\nKqg4kFEkBYfixuuJUFUxnanhhRzc1sGrTf3stBzs8FaeUp+MkymXBpgudzJN6WKa3MU0Jf/zZLkH\nVRjaTs9lJLoPB+g6GKTrYICewwF0rdBvEXEnmBPtYFakiyrf2ASnRNZB80AZrfEQ7fEgMdNFZGaC\nqtkDVM6KEalLDJ3xbdvIAwKOFhFHUwZ5wC4ZzDoajokZcpCudi+du13E+xxE5pUz44iIUTYrMqrx\nZNveg7zYrbM5JrJlANos77B2zlCols78VCuLk00sTjYfeW4iYB4vnWWFoxjLLsJYsQ5r2twCNcqy\n81m9z3Vkeb4jy8s9uTH16TiRSpfIwrDCwjIl/xxWmOqTJxp/nwJvFZ/IBGePCeFiFAwnXNxXficX\nn3MVSvUVQ74/bVjc9EQfL3eXzgB421QXn6xp46WNzyEYxU5nG5O6WdVcPL8a/eCPsJOtuPcOnWVh\nnLeG7Ac+hR0Yvwamo8a2EQ/uRNnwCPLmZ49FCBXtpjrRL74e/eqbT/k621Mmf27M8MDhNFt7h29G\nW+ES+eBsDx+Z5yXkODNOiPEYgE3dpGVjEwce3s+hJw6SSwydNQJQvrCCRe9fwqzr5kxkWLwJeDNP\n0l1pkz81ZLivPj1smZOIU+Rj87x8ZJ7nrDXffqNjWRbZ/l5SLY1kupsx4u3YWhei3YeiDOLyJnF4\nxqehtmFBf85NT87LQM5LXHeTNt3kDBem5QJbPeOlqIbDxsS2dQQ7h2TlUMwcDiOLU9fw5LL4chn8\nWY1QJk0ooxHMamekH4dpCaQMlbSlkLYVMoJMWpTJyDIpWSSjSsSdMt1eH23eAK3uMC3uKH1ylEHC\nJAhinqXPUbAtvHYSv50kYMYJGQnKsknKtSQVmQTV2ThTtT7mptup1QfGNR/HQqDH6aPP7SXpdWB4\nRBS3jtuj4fOncfh1UF6PBZuIKftJWj66Mm5aNA/NdpBuO0Cv5aPX9NNn+ui1/PSaPlK2k+L6FqWR\nsalzCMyJqMwJyUxVom2b9wAAIABJREFUB/BpXYhaL9nkIKlkipymY+nCuGVr9OLmOXEqW4RadGH4\nO96Jzhyhi4VKD0vcg0S9Kh6Pl0vOv6rk/hPCxQRHGWo98+Teei6bm2+CvLPhZf7w1I8I/fcspNjx\nNUnlrBg3/mgGjhkfPLbN7H8VbceXwSq0VR0LvohcvnrYa7HSbWT3fhdrcDdqm0ngeR3xpCWDTfG3\nNnfdP5B7+4dAEEj1pHjyXx+jaUPjsdebJ0V4/IpzaKuNFJ1TEuBj87x89hzfqOwT27bZ1JXj53tT\nPNiYGbIbwVWTnPzf8/zMDY3DeGDbyM/8Bce9P0LI5kWSVE7lpZbpbG2rQ7fyzlJproyy1okYLT1e\nVFdXs3btWny+kcu9nMx42KpCZyvq/b9A2fwMAIYosa1qNpvqFmOdFEru9Xq57LLLiESK/2dnikea\nMvzzxhgDJRyYn1zo5Qvn+se119B4YdkWsUQ3rb0NdPY309nfTEd/MyktfkrHcwkiEcmJFxcKbizT\nS0b3odvjGwRnY2OSPSZinPhsCBomWeyTnBqiLaMKMgoSiqhg4yKVCxDLhmk1o+xTptDsHJ/enSIW\nk+UepsldTFW6jggbnUxVuqmSYsgnXZtlwWCHh54Gf/5x2E9/iw/rSFk9t5JlWrgn/wj14FGHX8+f\njGkJdCX9tCeCtMeDdGV8iBUW0elxotPiRKfG8ZZppZNlbRu530btNFHbLZReG3Fspy8gI6j0aD66\nen30JH2kPJW4l8yjcu0cas+fjCfqKfm+E8cR27Y52NLBX/Z0sLE9QzN+mglijGDvDEed1sPcVBvz\nUq3MS7flf0634QkFMc5bg7lwGeasRcdKCR7Fsm32xAxe6sryUneOFztzYy4tdSJuWWBWQGZ2UGZu\nUMk/hxQme6WJBuDD8Gb2iUzw+jAhXIyCoQz9yrsa2FnzKSLrfocglx60B7IWH3y2n2eGSCn+wAyV\nFb2PkOzNlS7/oea4eM0KatLrMTs24Dpk4tlhUKJ0I7bHT/aW2zFWXnxmyz6UQIjHkDc+gfLcI4gd\nLUPuZzvd6JfeRO6Kd4J/5LTDk+nJmDzUmOGBhgwvduVGbGl2foXKrXM9XDPZVdB08ExwqgNwNpGl\n7aUWGp4+TP3jB9FiwzffklSJmdfOZvH7z6FiSeXfRTT7W4U32ySdNiweadK471Cav7Vnh8yuAJj0\n/9u78+hIsvLO+9/YcpVUKpVqX3upjqL3LnCzNk03mAOY1cAxY8A2eLzBDNPGg895x6cHjz0zvO+8\nYGPDC17wgMeeYbAx2IxNs9gsDTQ09L5Ud3T1VqVaJaWUSinXWO77R6RUqiptVUpJWdW/zzlxYstI\nXVVdZd4nnrj39jh84Ooe3rW3eM5jRUs6r0Z16BmOPv4AVnWEolvFisdwnQrZ/BT53npH5tcAqEUO\npVaRsbBAJSwyFeapx3lacY4oyUGSxSKzakNSLcRgZhIddtLCbSc7MlFILmqSD1sUwiY9YZOeZpO+\nZpP+Rp2+VmtFnpNvxg712KOeeExZGSa8PGOZIqO5HkZyfZzM93M8v57j2Q2MZvopuwUm3AIVJ09s\nr/yTm7aJ6DNTbAgn2BxW2NKYYFuzwrbGBIPhJBvDSQbDysz2uqi27P/lspunlO9lIp+nUfBICuAU\nI4rFBn19NfJ9zdXrtTGPeuJRSnoZj3sYT3ooJ0XGkyLlpEg5Lp52bDxOtyeSAtEZk33nrfSz7pJ1\nLrt6XXblQjaaEsXmCHazTGOqQq1Wo9kIiVsGKzm3Hht1XB6ytnCPvYNnrcUf6rBNwh7GuTIZ5q//\n9avmfI0SFzJtvnjmUKXJ7r4sURzxZ//0e5S/VKf47VM3BC3L8Jb/dpgdb/sYlp3e0JwvaZHZ+xt4\nO980bxmMSYiO/AOtpz4HYYPiQxHFh+IlfQ41/9X7CF+TzsVx+PuH+Ppt/0RtpIYBDu7dxvde9jwO\n7z57+CGA/YMef/iSfq7bsPgN2YlWwheerPHZoDpvT3mAl2/Ncvv+Pn5qUwdu8sYR7k++i/fV/41z\nKG0rzpmwuMLFuzmHvXnu7xPHcbjxxhu56qqrzjs+WE5b1Ro+RuaOL+B+9x+x4pjYsnlk82XcvfNq\nqtmzh6ravn07t956K7lcByYwX4L7Rlr8wUOT/OMcPWc25W3+9Kb13LJ9dcrSSZO1MifGhzjeTmYM\nl48yOnH8vObMwBj6HJcBO0eRAo4pEsdFGnGRMFm5Xv0x4amkhtUkpkVshe11i5jWWcNR2cYjIUeT\nIhXTT8ms54S1iUlrHTV6ZpaE8x/VwSZhizPODrfEDrfEdqfEdndsZn+HUyJvt4hDi9JQL6PP9lE6\n3MPY4V7GjvSQhDZbeie4bGCYS9aPsq2vjGufe5eIMLYZqfYyXO3j5FQfpVaBVo9L754amy8vs+my\nCn0b65w1wpYx2FXIDCd4IwnecII7brCWGVJUWxlKtR6qmQ2YHXvIX/c8+l98Dd6lu8HLzPs5kiQJ\ndz4+xP+59yCmMcWoVeSw1c+QtY6SNff9tHOxszGKXzvOFfXjXNYc4fINeS69dCfbr70ae/dlc94j\nOzwVcc9wi3tHQ+4bbfHAaEg9Xt4/UN6x2LvO5fJ1Lpf1pcvl61wu73PpX6GHaC8kF9o9EVl7Slws\nwXwN/dd//pt8/rK76L3xw3Ne98Boi3d/q8RQde4vp5/tO8KN4/fizPHEXkLE7r1buWVPRPTMX5N7\nYoqeh2Kcqbn/LaP9L0t7WfQvvxvlkjVqOI/cg/fDf8a5/wcLTqRkCj2Er34rrZ9+K/T0zfu6M4WJ\n4Z6RFv9ytMm3jja4fzRcNFnR41r83OUFfnlfkSs78fTTEi31AziJE4YfOcnhOw9x6M5nOXHfsZnu\n7Qvp3dHHNe+8jqt+7hoKG1ZuXHZZORfCl/TxWsy3jzb41rEmXzvcYCpa+C9uX7/Lbdf08tZL8135\ndNqFZt6GfhxTP3mC2okhmqVjhJUTmMYoVjSGY0+QyU2S66njZTszJFWUWJRaecZbRcphgWqUoxbn\naMY5wjhLbLLtBIe36kNTLYXBYIjAhNgmxE5C3DhMe3jEIbmwST5sUghbFMMWhbBFT6tJT7NFb9gi\nF0Ud/61qZKjYOSbcAhNegVKml7JXoOwWqbh5ym6RCSd/+n57PenkqDpZzDLGfJ6Lm0QzSYwNs9b9\nUZX1UZWBMF33R1XWh1UGoinWR1WKcfOcEh5lt8B4tsBULkc95xHlbMgb3EJMPt+gt1ij0NPCrPR8\nG+eokuTThEbcTnIk7STHrP1KkqeSFKgkeWy3QH+hl8GeXnb0ZtmSsxhkgkJrGKteIqpPUJuaotlo\nErVikoh5kxsjFLnH3s691nYmrMWH8yi/Z/ucx5W4kGnzxTPGpJ+Yf/e9P+ORe+9h/SevwIpO1ckr\nXzXErX/4Ppw+H4B47H4aD334nJMWM70sxh8h91RMz4NzP4h1Vvksm+Z7P0T08tdSemKUn3zyboKv\nPEZsWTx61S6+/7IrObl57oehej2L2/f38cv7iosO5/HAaIv/HlT54tN1agu0fZ4/6PEfn9/Hzds6\ncIO71cT93h1k7vgC9shx4OyEhbXOwrkmg3uNN+eQUACWZXHFFVdwww03nFcvi9nOua3arOP+5E7c\n790xM7RVgsVjm/bwo13XUMnNXZ7rr7+e5z//+Ss+n4Uxhu+fSBMW8z1I+MrtWT5903o2XURj2MdJ\nzPjkCMPlIwyXjzJcPspI+ThjkydpRXP/OyzIGAq2Q7+docfOkTU5LJMnjovUoyLRCs8XBdM9N04l\nMmIrTWacOhaSWCExIYZ4JsnRNDmq9FGdSWb0tpd0v0GBOkUaFAjJsNQemtMG7MlZSY0SW91xNtkT\nbLQq5MsN3CMJzUMe40M9VI7l6Y8b7Oovsat/jB19Y3jO+c+RV2nmGK32MFYvUqr1MBHlqXke1kDM\n+u1VBndPsmH3JD0bmqfm4osM3pjBLSV4pQS3ZHAnlp/MgHR+urrdS7WwnnDTFgZuuBa27cAMbMJs\n2ITpWw+2TWIMX366yhceOALjx9lnRhigxpC1jiH6GbL6OWb1Lqn9sxReErGnVWKP22Jnn8eOwT52\n7NjEzv4cO4sOWwvOzHdElBgeK0fcP9rinpEWD5VCDoyHtDozlSEDWZtLeh129rjs6nHYOb0UXXb2\nOPRlui+u6rQL4Z6IdBclLpZgvob+R778x3zophfhDt542nFjDJ8Lavz2j8qE8/zqb0oe4mXJkTnP\nuT0xr7l+gHXj3yB74BDFByPcytxvZIq97V4Wr1yVYN8qDeM8cBfu/XfhPHY/VrTw8CbJwCbCW99E\n+Ko3Q37xLLoxhqcrMd853uBbR9OxCCvz/SOe4cWbM7zt0jxvv7SwJh/4830AR42I4UdOcuKB45y4\n7xhDPzhMozz3GLlnyg8W2Pu6K7jiDfvY9oLtWLoxfEHrxi/pemS462STbx1t8u2jDQ4s8HThNAu4\neVuWX9lX5LW7cuoK20HLqSNJktAcH6Nx8hiN0gnCiWHiWgnTGsOKJ7DtCp5XJVuok+tZRr/x034m\nTERZxlsFJsI8U3GeapSjEeVoJVmiJEOSZMBkujbJMRdDgjExEGGZCNtEafIjiXDjkEx7yUYh+ahF\nLgwpRC2KrSbFMGwnQkLyYdjRoa4mnVx7yTPp5JhyT22n+/nTzk+6OaZmnZ9sn59yctTtzHm3G9wk\nShMbUZX+dnJjZgmn2ts11odp0mNdVKMvrtMX1emN6/NOOB4DVS9DNeNRy3o0si5h1iHJgZ0zeIWE\nnkKDYqGFyVkkWaBLvxerSZZKkmdyOrFh0u2WVcA4PdhuAS/bQ9bLk7ctvKSFFYZErRaNRotqPabR\njGmFhifjzTxk7eCAtYmqNfe4/EpcyGLmi2cAvn7PF/j+fXfQ9/k9ZJ7umTme623x83+9kd7rfwWA\neOyBdtLi9Bufmb2/jrfzzXO+90wviyc/S/bZOj33R7jzF+U0ybr1NN/72xxzLuEnn7ibp75+kFo+\nw8PX7OauF++jvL5n3mvfuDvH//3CfrYV5/4UTozhvtGQOw7X+erhxoK9KwCu7Hf5nf19vG5XB+bu\nmqrg/cvf433zS9iTZeLE4unxjTw2vJXHR7YSei7O8zzcazI4u+d/WtyyLC6//HL2799PX9/SHwxb\nyJLaIcZgP3UA786v4t79baxGOu9CgsXBwZ38aNe1jBXmnuMkk8lw8803s2fPno6Ud/4iGr5+pMEf\nPDjFj0fmbvO4Fnz4+X28/+qe50xb1hjDVH2CUuUEpcpJSpMnKVVOMlYZXlZSo2g7rHeyFMmRYTqp\nkacV52kmq9+LxZCkiQxCYiskIZpJapw6FpJYUXqOCGMlRMalQaGdzCjQoHjGOk1yNMnTIE+LPE2y\nmEVaezmrxUZ7gk3uBBtNhd56jZ5Kg+JIg0uPj3BJeYRdyRi78iXW55Y/j1krdhirFSk3CozXC5Qb\nBcqtAlNWllbepnewQf+mKr0b6xTWtcgXm/SaJsVmi6ScxR6H/qkpMufTa2cBxnZI1g1iNm7GbNhE\nsn4jz2YG+FKllzsmsmQzsNWZ4gpKFAmZIsMxq5dj9HHM6uO41ccwxWVN3j4XF8P2HOxYl2Fnj9te\nHHb1OOwoOmzI2RyrxjwyHvFwKeThsZCHxlrnNfH3YtZlLHa1f/7O4nRiI01ybC04DOZs3C5t+y5V\nN94Tke6mxMUSzNfQ/9Y/3MYtb/gY1qzhH6phwr+7a5wvPj33jWnbJLwjeZAbzPGzziVWiyt31/mp\n+vfIHZwi93SCO08PC+N5hLe8kfD171zZuSwaNZynH8d5/AGc++/COfzkopcYxyG+4aWEN/8M8dUv\ngAWGxxhvJtw7kmaz7x1Ju+iNNZeezt4/6PGzl+R58548O3rOvxtoJxw8eJAkStjoDnLy4ROcuP84\nJx44zuiBkSX1qJiW689x2Wv2csUb9rHjRTux3QvjRp8sbq2/pBNjeHIi4v5SyP2jLR4spV1im0t8\nSP/K9S7vuKzA2y4tzHsjQJZntepI1GzSGD5OfeQErfGThJPDJI0yhBNYySS2PYXr1shkG2SKs57S\nWoYkgVriUQlzVMIck3GWWpSjHmdpxllaSYYozhKbDBgPjIe9jO793SIhBhMDMZaJ24mQGDuJcE2E\nE8e4SYgXR2TaS7adFMlFEbko7QGSjSLyUdQ+li7L/Sus2lmqTpaanUnXTpaanaXmpPtVu31s9mum\nr3Ey7ddmT3vt9PvVnOy8gWU2adEX1U9LZqTrxmn7ffH0sdppx3riJsW4QTFuEtsJdc+h7tk0PJtm\nxiZ0LcKMRZK1MFmIs2AykHhgshZkLCzP4NrgWgbPMum6vT99zGZtO4BExqFOjpAcoZUlMhkebu3k\nztpe7qxdwTPRxpnXKnEhi5kvnvnhgW/wtW/8DX2f34174vSnW1/+68e5/rc/guVkiEbvpvnIf11y\n0sLETaLhO4mOfAU3eJye+yK80tJjwvDm13No7xv50Wce5tGfHOPxfTs4cOVOnrlk81nzJMz2yu1Z\nbruml5u2np3kq0UJ3z3W5I6hBl8bajBcX/i7zbHgdbty/PK+Ii/fml3WzW1rYgznwR+lD3898hOS\nRotny4McGN7KE6NbaBaz2LtdnMtcnCs8rEXmD7rsssvYv38//f3nPvTuQuZth1QncYIHcQ7cj/vw\nj7FPpEMDx5bN0LrNHBzcyVMDO6ln5r5J7TgOV155Jddddx35fOcmhZ4tMYYHSyFfG2rwlWfrCyaj\nrt/g8bEX9/P8jSs3/NGF5rSkxuTwTHJjfHKEieoYtebkeb2vi0Wf7dJrZ8iRIUMWy2RJkjxhkqcR\n5TFd8GCLIZlJYsxOaMy/HWOISYhpYtMwOZpWniY5muRnJTdyM+sWWUKytMjSIjOzHZKd+TfY0Rzl\nZeXHeWH5KW6oPMOV9WMMJEvonrbU39PAZCvHZDNHpZGn0sxRaZ5aT0Y5ql6GpMfBLkDWS+h3awza\nkwxSYaOZoOg0yXshebdF1o062laq2RmOZAcYzfRRz2SJPRfHtTAZl5qXo+wVeDa7kUPeIEecdZy0\nejlp9VCi0PGExmwF12JjzmZz3mFT3mZT3qbo2kTGUA0NpWbMsVrCM5WQcmeeD5uTBWzIpT9/uiyn\nr6e3bdZn7a4cVnyt74nIheeiTFz4vj8AfBh4M7AVGAW+CtweBMHZGYNFzNfQP/m9j7L5pn8/s39w\nIuRt3yhxaGruu4A5E/LO5H72mdHTjifEbHaP8tqJH9N3qIU3Nv+/l3Fcwle8Pk1YDGyc93XnxRis\n4aM4Bx/FefJR7KcexR56Bsss7YZVsnUX4c0/Q/TSV6fdAGdpxYanJyOCckRQDgnKEQ+WQp6snHsW\n/5oBj7dckucte/Jc0rc2N7XiVkz52XHGDpYoHSwxdrDE8UeOUT0yhVlkaJ25rL9sgF037WbPKy5h\n50t342R0U/hitFpf0sYYTtQTnqpEPDUREUyEPDAa8lApXHTopzNtydu8/bICP3dZgasHNAH8SuvG\nhlySJISTlTTJMTZCq1IirpZIGuOYVgWSKrZVxbHrOG4DL9skU2h1JNnRjG3KYY5KlGcqzFGLMzTi\nDM3ESxMdSYYo8YgTD2M8MC7gYa/IlN7dxxBjSMAknEqMJFgmTpMjJsYxMXYS4yQx3vQ6jvCSCDeO\nycYRXhy3EyZpgsRLYjJxe4lisklEJk7InmOypGF5VJ0sDdujYXvU7QwN26M5ve9kZs6lS+aM9enX\nTV87ez+0nPTpXwy2SciYiGwSUzAtinEzXZImhVnJjul9lxYuIa7VwrYibCsCK8SyYrBDLDsCJ8I4\nFpFnEbkQuxaJC4lrkXjtbQ8c28K1DI5lcC1wMO19Zo7PbNN+jTXHa+C091noobpD4SD/XL+O7zSu\n5kvv0OTc3Wa58Yjv+y8BbgdeBOSBJ4A/Bz4ZBME5Nzbni2d+7z+9j94v7MKunt6m3nTZBG//u3dg\nEdN65n+SlB8869rM3l/D2/mW044l1SHCY1/FBF8j+/QkuUMx3ujSi9sa3MGBLW/gXx5wubPhcOCq\nXTy7eyNmgWSFbcGbdue57dqe0+axOFqNuaf9gNQ9Iy3uH23RWMLDGtsKNr/oF3n33uL5P6hhDPbQ\n02lP9QfuwnrqcUrVIscq/QxNDPBEaxutHXmc3S72bhe7f/EbbrZts2fPHm644QYGBlbmwbWZdsjO\n7WlM+Nh9OAfux372iZmYMLIdnu3fypODO3l6YDtNd+6eYNNl3rdvH9dffz3F4vLHsD/TZJjwnWNN\nvj7U4JtHGpxcJBn10i0ZfuvaXm7Zlu3KG3rdrBU1qVTHOfDEQ1SbE2R7XCrVMcrVEhPVMSaqJcLo\n3O/YWsbQ47j0Wh4FK0vG8nBMBstkMCZLFGdpJbkVnWOjEwwm7bnRTmYYq70+bT86dWxW4sMQE1kW\nLRxaODTxqJssLStHiwxubNEfNhlsVtnanGRXrcye+hiFKCaTGLzYkEmS9jrd95J0Od9a3oxcqmGG\naitLrZWhGmbT7faxaitLNcxQa2UILYe8G9LrNmYSGjkvJOeG5N2QrBuSdSMyTkTWjcg6ERk3IuuE\nZJz4vBMfkWVTy+SoeznGM0UeL27nyfwWnslu5FB2kCFvgKNuP2VndYfZ7vUsej1rZhjlMDHUI0Ml\nNCxz+oxz4tmwMWfTn7UZyKaJjPVZm/WZU9v9px23WJ+1KbjWin4+dmO8K93toktc+L6fB+4G9gGf\nBO4B9gL/HhgBnh8Ewfi5vOd8Df144iDOur08UQ75zONVPvt4dd6hoa5MTvKW5FH6SXtieFHIxqkR\ndjee5erKEMXhaMEvFWPbRDe9ltYb340Z3HIuxT9bEmONnMA+fvj05dghrKnKub3Vxm1EN7yY6Kdu\nZmzXVRypJQxNRRypxhyZinmmnax4qhJxHvfzARjM2dy6Lcut23Pcsi3L5sLK3pAyiaE+Xqc2WqV6\nskrlyASTRypUjlSoHJmgcqRCdXiKRSfbWEC2L8vOl+1m98v3sOum3fTtmLs7tVxcOvUlHSeG4UbC\niVrMsWrMiXq6fqoS81Ql4ulKRPU8/+BsKx2/+Zb239uNGzOLjgstnXMxNeTC6hTNsVGa5THCyhjh\nVJmkMUHSqGCiSYinsEwVx66lCY9Mk0y+iZdb/jwdrcRiKsoyGWWpRlnqcYZanKURpwmPVpwmPCLj\nkSQuxriAC8bB4twmVH6uMSTtZIkBkpnFMglWO4lim3Tfnlli7CRdO0mC01677eOOSbATg2MS3GT6\nNQmOMWmPFJPgJgnurG0vTnCShEwS48btY+3kjBcbjGXTslxatkPT8mjZLk3bbR87tW7a3qntWeea\ntktouzQtj9CyibGIsYmxSX9TC0N6w8XCpA9/GAMY7Ol/EyudO8CyDJaVYNpr7CQdf9uOMW6CsWOM\nE2O5CcaKMXYCdkxiJWBHWE6C5UY4VozjgN1OcNjtpIeD4dd//vNz/n8pcbE2lhuP+L5/K3AHMAR8\nAhgD3gS8FfijIAhuO9cyzRfPfPzS/4YVn/6ZN7Bzktf9lyKF3lGS8kNzvl/m8l/F2/WzAJioSjxy\nN+bBL+I9GpA9nOCVz60dEuHwBfelfGzg1Ty7YzOVvsVvNGVs+Pn2vHZYFk9X0pjjvpEW9462OF5b\negLdseAV27K8xy/ymp25cxuKI46wjw9hDz2NPfQkPPsUtYOHGT5mONTYwFF3I6X8OuINGexBG2uj\ng71u6d8zmzZtYu/evVx66aWdn8i61cQ+dgj76LPYR5+h/sSj5EaOkZkoYRlDy3EZKaxnpGc9I8X1\nDBfXUyr2Ey/Qox7SYaz27t3L/v37lz3vxrTxZsKB8ZDHxkMeK0ccGA+5d6S1pLHnX70jywev7eVF\nm+dPssjSzNdWNcZQb1aZqJYoV0tM1SeYrJeZqk/MLJPtdRQvPNz0XFwseiyXou2StzwyeDicSnAk\n7QdaWkmG2Fz4PXbhVJsraT+oYmi3E6a3p89Z0/unnzNWkj68Qtr2cpMEJ0nbUl6SPriSLkn6AEsU\n40UxmSTBTcBJDG47AeKadPvUQro2BjuGVuwRRh5h7BKGGVotj1bk0oxcWi2XZugSNh3ClkMz8mhE\nHs3YJYxtLNtg2YasG6cJjXaSw7NjPCs+tXba23Os3TmOu06MbUHFyfNkfjOHc4Mcyg3ybG4jz+Q3\ncji3kaHsAOPu/MMOPhdlbFiXsen1LHo8mx7Pore9P31s9rrXs+nNWPS4FgXPpuBY5F2LgpuuMzan\nJUIupnhXVsdqxDOr/a1xG3AN8P4gCD41fdD3/QeBL5M+ufTBTvygDz68gX86fJRyIySy5n4SuTep\n8+7mvbyw8Qybp8bYMjnKlqkSG2oTS8p+G9cjetGttN74C5jNcw8DMCMKoVbFqk9hTU5gjY9ij49i\nlUexxktY5fb+yPFF56ZoWQ4VN0/FyVNxC0w4eUpeL8OZPkY2X87wlks5uW4bo1aOkXrC0R/HVH5w\nYgm/0eJ6PYv9gxlesS3LrduzXDPgnVPXbGMMcTMiakSE9XQd1UNak02alXRpTDRmtpvlOrXRGrWR\nGrXRKrVSDdPhVHjfznVsuWErW67fytb929h07WZsRzfGnsvixFCNDFOhYSpMqEaGyfZ2pWUYayaM\nn7GMNRNO1mNO1hOSDlbRnT0Or9yW5ZbtOW7emqU/q7opy+cVe/CKPfTs3HNO18VRSDgxQatSJpyq\nEE5NENcqxI0pkuYkSViFqApxHcvUsaw6ttXEcZu4Xgs3E+LlQgYyDQYyS5tP6EzN2KYaZ6hGGeqJ\nRz320p4esUcrSZcw8YgSl9i4xIlHYqYTIA4YB3Auyp4fFnaa2Dnza3nW/vQ9pM5MFX9+DIbp5x9p\nb6fLqaSL1d6fTjjMJCDa27aJyRNRMOlrLTNraffwmN62klO9PjDgTJ8zaULGbm/b5tR1jjHYYdI+\n1k58mPZzEQb2LPEWAAAPUUlEQVTASouKTWKyaamMRWzZGAMJNsZYGD013I2WG498CmgAN83qnfFX\nvu//PfAB3/c/GwTB2V0gzsOZSYvd+0e45QOjuPFRkvLc17gbfxp76Bjmh/8W+8QR3NIEhZEE5zyH\nZv9O//N43xXv5YnCtiW9fjBns7Vgk7EtvjbU4HNPnN8P7vUsXrU9x2t35fjpHTnWz9X+MQZaDazx\nEoyPkJwcoXHkJNWTZaqlCpXRKcarIWWrQDWTp57J0crvhi2XYD/PxupN39NuL0vV09PD3r17ufzy\ny899OKgogvoUVm0Kq1bFmqqk8WC5NCs+LGHGR2hNTVH1ckxl0/JPZfJMbbiUqW1XMZ7vo5w/t7kz\nMpkMe/bs4brrrjuncjciw8l6zHA94UQ9Zrjd3j1Zizk8FfPYeMiJRXpTnMkC3rQnz2+e0RNHVoZl\nWRRyPRRyPWzdsHve1xljaIaNdjKjPJPMmF5qzSlqzUlqjSq15hT11hTGGCIMZRNSjkOgPvebt//Q\nPCwKtkPBcslaLhlcXFwcPCzjgcmQmAxx4hElHmGSIenCh1am21ynDZ06Vwy41Lhw1gdR2F7mYtrt\np+k21KlkSLttZZmZV516jTlj3W47tc9bs/YtY7BpYlFvt43SBz6aBlrGUJ1+8LndLmK6jW3S9o9J\nrLSzcWK1m3YWJrJIEjCxTRJbmMRqr+32cYukZWEaNfriw1ybHOaaxMKK0zaUZdnQblMllk1sO0S2\n037oJUPouCSWlR53XELbo+U4RJZLSPqwS8vyiFyPlpVeG1sOkW2fth066TqxHRLbIrHt9vrU9pqO\nUwq0EhhpJIw0oBOteQsoOJBvJzKcJEfeMfQfHKHgWuQci6yTJjiyjkXGscjYFlkHMvb0fnou66Q9\nWbI2p7/OscjaFp6TnvNsC8cG17Jw7fThBGdm22oPF4t63smM1e5x8RiwE9gQBEFz1nELOAxkgc3n\n0sV6ocnsRERERES6kXpcrI3lxCO+778Q+BHwmSAIfuWMc68Cvgl8NAiCD51LmRTPiIiIiMiFZjXi\nmVVLXfu+30faJfu+2UECQDsw+DGwEbhktcokIiIiIiLPDR2IR25sr384x7m72+sXdqCoIiIiIiLP\neavZ5266T+KRec4fbq8vXYWyiIiIiIjIc8ty45E9810fBMEkUF7gWhEREREROQermbiYnvlrvoFO\nq2e8TkREREREpFOWG48s5XrFMiIiIiIiHdB9sxyJiIiIiIiIiIiIiMhz1momLirtdXGe8z1nvE5E\nRERERKRTlhuPLOV6xTIiIiIiIh3gruLPegYwwI55zk+POXvwXN50NWYwFxERERGRC95y45Gn2+uz\nrvd9fx2wDrjvXAuleEZERERE5Gyr1uMiCIIq8BCw3/f93Oxzvu87wEuAoSAIDs91vYiIiIiIyPnq\nQDxyV3v90jnO3dRef78TZRURERERea5b7Tku/gIoAL92xvF3AZuAz6xyeURERERE5LljyfGI7/v7\nfN+/ZHo/CIIHSHtUvN33/R2zXmcBvwmEwF+uXNFFRERERJ47VnOoKIA/Ad4JfNT3/d3APcBVwAeB\nh4GPrnJ5RERERETkueNc4pHHgADYN+vY+4BvA3f6vv9xoAy8A7gVuD0IgqdW/DcQEREREXkOsIwx\nq/oDfd/vA34XeCuwFRgGvgx8OAiCsVUtjIiIiIiIPKcsNR7xfd8AQRAE+864/gXA75EOLZUlTXB8\nIgiCz67KLyAiIiIi8hyw6okLERERERERERERERGR+az2HBciIiIiIiIiIiIiIiLzUuJCRERERERE\nRERERES6hhIXIiIiIiIiIiIiIiLSNZS4EBERERERERERERGRrqHEhYiIiIiIiIiIiIiIdA0lLkRE\nREREREREREREpGu4a12Axfi+PwB8GHgzsBUYBb4K3B4EwfElXP8S4HbgRUAeeAL4c+CTQRCYlSq3\nrI7l1o/2e1wO/C/gp4D3BEHwuZUprayFDnyGvKx9/Y1ADhgC/g74/SAIplaq3LJ6llNHfN+3gHcC\nvwpcCfSQ1pF/IK0jEytYdFkFnfiemfVeOeBB4ArgliAIvtPZ0spaWOZnyGJt0fVBEJQ7UlBZM4pn\nZCGKZ2QximdkMYpnZCGKZ2Qx3RzPdHWPC9/388B3gN8g/WL9JeBPgZ8DfuD7/vpFrr8V+DawF/hd\n4FdIG/p/DPzhChVbVsly60f7Pd4D3A88b8UKKmumA58h7wS+B+wk/RD/DeAh4LeBb/i+39WfobK4\nDnyO/AHwV0AT+B3g3wCPAL8FfMf3fW9FCi6rohPfM2e4nbSRLxeJDtWRA8Db51mqHS+0rCrFM7IQ\nxTOyGMUzshjFM7IQxTOymG6PZ7q9x8VtwDXA+4Mg+NT0Qd/3HwS+TPoH88EFrv8U0ABumpUh+ivf\n9/8e+IDv+58NguDBlSm6rIJl1Q/f93+V9I/xE6RfzH+6oqWVtXDedcT3/SzwadKnTV4460mT/+77\n/pdJM9GvIc1Cy4VrOXXkhvb1Xw2C4GdmnfpM+3vmTcDr2+8jF6bltkNm+L5/DfAh0ptLN3S+qLJG\nOlFHRoIg+OLKFVHWmOIZWYjiGVmM4hlZjOIZWYjiGVlMV8cz3Z5d/wXSzMxfnHH8H4AjwLva3drO\n4vv+CwEf+Js5urV8ErCAd3W2uLLKzrt+zPKWIAg+ALRWoHyy9pZTR7YAXwI+Mkf32OnG/bWdKqis\nmeXUkSbwH0ifgD3TN9vrXR0oo6ydTnzP0H6a8c+BQ+im0sWmI3VELmqKZ2QhimdkMYpnZDGKZ2Qh\nimdkMV0dz3Rt4sL3/T5gH3BfEATN2efaY7n+GNgIXDLPW9zYXv9wjnN3t9cv7EBRZQ10oH4QBMGf\nBUHw9ytaUFkzy60jQRAcCoLgl4Ig+PQcp9e115UOFllWWQfqyIEgCD4SBMFP5ji9r71+qINFllXU\nie+ZWf4NaZvj10kDRLkIdLiO4Pu+5ft+seMFlTWjeEYWonhGFqN4RhajeEYWonhGFnMhxDNdm7gA\ndrfXR+Y5f7i9vnSe83vmuz4IgkmgvMC10v2WWz/k4rcidcT3/QzwXqAGKFC8sHWsjvi+n/F9f73v\n+1f6vv8R4P3AXwZB8O0OlFPWRkfqh+/7O4H/AvxVEAT/0qGySXfo1GfIoO/7/wOYBKZ836/4vv8/\nfN/f3olCyppSPCMLUTwji1E8I4tRPCMLUTwji+n6eKabExe97XVtnvPVM153PtfPd610v+XWD7n4\ndbyOzOoe+Tzg9iAIjp1/8aQLdLKO/DwwBjwK/GvgV4Mg+KVllU7WWqfqx6dJh+/4rU4USrpKp+rI\nle31u0gnsPsy8G7gh77vDy6rhLLWFM/IQhTPyGIUz8hiFM/IQhTPyGK6Pp7p9sm5RUS6gu/7eeB/\nkU5i9/8FQfAHa1wk6S5fA24l7Ub5WuDPfN9/NfCLQRDU17RksmZ8338H8DPAe4MgGFnr8khXei3p\nZHb3zjr2Rd/3h4DfIQ0Q/681KZmIiFxUFM/IIhTPyFkUz8gSrGg8082Ji+mxFucbG6vnjNedz/Ua\nz/HCtdz6IRe/jtUR3/c3Al8BXgT8fhAE/3H5xZMu0LE6EgTBCeBEe/dvfN9/APg48DDw+8sppKyZ\nZdUP3/cHgD8CvhsEwWc7XDbpDsv+DAmC4GvznPoUaUP/VShxcSFTPCMLUTwji1E8I4tRPCMLUTwj\ni+n6eKabExfPAAbYMc/56XG4Ds5z/un2+qzrfd9fRzoZ1X3LKaCsqeXWD7n4daSO+L6/Gfge6WRE\n7wmC4HOdKqCsuZX8HPkMaUP/Naihf6Fabv34f4F+4Hd935/9Huvb643t4yNnToQmF4yV/AwZab93\n33lcK91D8YwsRPGMLEbxjCxG8YwsRPGMLKbr45muneMiCIIq8BCw3/f93Oxzvu87wEuAoSAIDs91\nPXBXe/3SOc7d1F5/vxNlldXXgfohF7lO1BHf9/tIu8zuAt6oRv7FZbl1xPf93/F9f9T3/VfOcbq/\nve7mBwRkAR34DHklkAG+DQzNWqaHZfib9v6LO196WQ0d+Ay5xvf9X/N9f9ccp/cCFqcmxJMLkOIZ\nWYjiGVmM4hlZjOIZWYjiGVnMhRDPdG3iou0vgALwa2ccfxewiTQDDIDv+/t8379kej8IggdIn0B6\n++zMoO/7FvCbQAj85coVXVbBedcPec5Ybh35I+B64F8FQXDHShZU1sxy6sgjwAbgtjne9xfa6x90\nrqiyBpZTP94LvGGO5ePt8/+hvf/wipRcVsty6sjVwJ8Acw3XMd2d+kudK6qsEcUzshDFM7IYxTOy\nGMUzshDFM7KYro5nuj1z+ifAO4GP+r6/G7gHuAr4IOkfxkdnvfYxIAD2zTr2PtLM4J2+738cKAPv\nIJ1w6PYgCJ5a8d9AVtKy6ofv+6/l1DhuL5he+74/1d4eCYLguytXfFkF511HfN+/FvhF4ADg+L7/\ntjneX3Xkwrecz5GvAP8IvN73/e8CfwtUgZtJG/rHz7heLjznXT+CIPjWXG/o+/5ge/OHQRB8Z2WK\nLatoOZ8hf0saEP5yu158FXCAnyUdC/afgT9fhd9BVpbiGVmI4hlZjOIZWYziGVmI4hlZTFfHM13d\n4yIIghB4NfAJ4K3A50i/eD8DvCIIgtoi198NvBx4HPg94E+BLcB7gyD4zytXclkNy60fwKdJ/8j+\nFnh/+9j7Zx37T50vtaymZdaR/aTd2q7kVJ04c1EducAtp44EQWCANwP/jvSmwf9D+j1zM+mX/wuC\nIDi2kuWXldWB7xm5yC3zMyQifUrtQ8AVwB8DHwM2to+9rv0auYApnpGFKJ6RxSiekcUonpGFKJ6R\nxXR7PGMZY5ZzvYiIiIiIiIiIiIiISMd0dY8LERERERERERERERF5blHiQkREREREREREREREuoYS\nFyIiIiIiIiIiIiIi0jWUuBARERERERERERERka6hxIWIiIiIiIiIiIiIiHQNJS5ERERERERERERE\nRKRrKHEhIiIiIiIiIiIiIiJdQ4kLERERERERERERERHpGkpciIiIiIiIiIiIiIhI11DiQkRERERE\nREREREREuoYSFyIiIiIiIiIiIiIi0jWUuBARERERERERERERka6hxIWIiIiIiIiIiIiIiHQNJS5E\nRERERERERERERKRrKHEhIiIiIiIiIiIiIiJdQ4kLERERERERERERERHpGkpciIiIiIiIiIiIiIhI\n1/j/AVykqAaSr2meAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 480, "width": 791 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "# Now we run our code\n", "plt.figure(figsize(12.0, 8))\n", "\n", "hidden_prob = tfd.Beta(1., 13.).sample(sample_shape = (35))\n", "[ hidden_prob_ ] = evaluate([ hidden_prob ])\n", "print(hidden_prob_)\n", "bandits = Bandits(hidden_prob_)\n", "bayesian_strat = BayesianStrategy(bandits)\n", "\n", "draw_samples_2 = tf.constant([100, 200, 500, 1300])\n", "[draw_samples_2_] = evaluate([draw_samples_2])\n", "\n", "for j,i in enumerate(draw_samples_2_):\n", " plt.subplot(2, 2, j+1) \n", " evaluate(tf.global_variables_initializer())\n", " [wins_, trials_] = evaluate(bayesian_strat.sample_bandits(i))\n", " N_pulls = int(draw_samples_2_.cumsum()[j])\n", " #bayesian_strat.sample_bandits(i)\n", " plot_priors(bayesian_strat, hidden_prob_, wins=wins_, trials=trials_,\n", " lw = 2, alpha = 0.0, plt_vlines=False)\n", " plt.xlim(0, 0.5)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "l1klOI7hDcOy" }, "source": [ "## Eliciting expert prior\n", "\n", "Specifying a subjective prior is how practitioners incorporate domain knowledge about the problem into our mathematical framework. Allowing domain knowledge is useful for many reasons:\n", "\n", "- Aids speeds of MCMC convergence. For example, if we know the unknown parameter is strictly positive, then we can restrict our attention there, hence saving time that would otherwise be spent exploring negative values.\n", "- More accurate inference. By weighing prior values near the true unknown value higher, we are narrowing our eventual inference (by making the posterior tighter around the unknown) \n", "- Express our uncertainty better. See the *Price is Right* problem in Chapter 5.\n", "\n", "plus many other reasons. Of course, practitioners of Bayesian methods are not experts in every field, so we must turn to domain experts to craft our priors. We must be careful with how we elicit these priors though. Some things to consider:\n", "\n", "1. From experience, I would avoid introducing Betas, Gammas, etc. to non-Bayesian practitioners. Furthermore, non-statisticians can get tripped up by how a continuous probability function can have a value exceeding one.\n", "\n", "2. Individuals often neglect the rare *tail-events* and put too much weight around the mean of distribution. \n", "\n", "3. Related to above is that almost always individuals will under-emphasize the uncertainty in their guesses.\n", "\n", "Eliciting priors from non-technical experts is especially difficult. Rather than introduce the notion of probability distributions, priors, etc. that may scare an expert, there is a much simpler solution. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TW3MuT7ph3zw" }, "source": [ "\n", "\n", "### Trial roulette method \n", "\n", "\n", "The *trial roulette method* [7] focuses on building a prior distribution by placing counters (think casino chips) on what the expert thinks are possible outcomes. The expert is given $N$ counters (say $N=20$) and is asked to place them on a pre-printed grid, with bins representing intervals. Each column would represent their belief of the probability of getting the corresponding bin result. Each chip would represent an $\\frac{1}{N} = 0.05$ increase in the probability of the outcome being in that interval. For example [8]:\n", "\n", "> A student is asked to predict the mark in a future exam. The figure below shows a completed grid for the elicitation of a subjective probability distribution. The horizontal axis of the grid shows the possible bins (or mark intervals) that the student was asked to consider. The numbers in top row record the number of chips per bin. The completed grid (using a total of 20 chips) shows that the student believes there is a 30% chance that the mark will be between 60 and 64.9.\n", "\n", "\n", "From this, we can fit a distribution that captures the expert's choice. Some reasons in favor of using this technique are:\n", "\n", "1. Many questions about the shape of the expert's subjective probability distribution can be answered without the need to pose a long series of questions to the expert - the statistician can simply read off density above or below any given point, or that between any two points.\n", "\n", "2. During the elicitation process, the experts can move around the chips if unsatisfied with the way they placed them initially - thus they can be sure of the final result to be submitted.\n", "\n", "3. It forces the expert to be coherent in the set of probabilities that are provided. If all the chips are used, the probabilities must sum to one.\n", "\n", "4. Graphical methods seem to provide more accurate results, especially for participants with modest levels of statistical sophistication." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "9amNroash3zw" }, "source": [ "### Example: Stock Returns\n", "\n", "\n", "Take note stock brokers: you're doing it wrong. When choosing which stocks to pick, an analyst will often look at the *daily return* of the stock. Suppose $S_t$ is the price of the stock on day $t$, then the daily return on day $t$ is :\n", "\n", "$$r_t = \\frac{ S_t - S_{t-1} }{ S_{t-1} } $$\n", "\n", "The *expected daily return* of a stock is denoted $\\mu = E[ r_t ]$. Obviously, stocks with high expected returns are desirable. Unfortunately, stock returns are so filled with noise that it is very hard to estimate this parameter. Furthermore, the parameter might change over time (consider the rises and falls of AAPL stock), hence it is unwise to use a large historical dataset. \n", "\n", "Historically, the expected return has been estimated by using the sample mean. This is a bad idea. As mentioned, the sample mean of a small sized dataset has enormous potential to be very wrong (again, see Chapter 4 for full details). Thus Bayesian inference is the correct procedure here, since we are able to see our uncertainty along with probable values.\n", "\n", "For this exercise, we will be examining the daily returns of the AAPL, GOOG, MSFT and AMZN. Before we pull in the data, suppose we ask our a stock fund manager (an expert in finance, but see [9] ), \n", "\n", "> What do you think the return profile looks like for each of these companies?\n", "\n", "Our stock broker, without needing to know the language of Normal distributions, or priors, or variances, etc. creates four distributions using the trial roulette method above. Suppose they look enough like Normals, so we fit Normals to them. They may look like: " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 508 }, "colab_type": "code", "id": "e2Ao0_kHFxgc", "outputId": "1c2af3a6-c336-44c7-da6f-3c6ff18a3fef" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABikAAAPWCAYAAACV+XvkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZIkSZJUCpMUkiRJkiRJkiSpFP8/QZ1w+8MxdTEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 491, "width": 788 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(11., 7))\n", "colors = [TFColor[3], TFColor[0], TFColor[6], TFColor[2]]\n", "\n", "expert_prior_params_ = {\"GOOG\":(-0.03, 0.04), \n", " \"AAPL\":(0.05, 0.03), \n", " \"AMZN\": (0.03, 0.02), \n", " \"TSLA\": (-0.02, 0.01),}\n", "\n", "for i, (name, params) in enumerate(expert_prior_params_.items()):\n", " x = tf.linspace(start=-0.15, stop=0.15, num=100)\n", " plt.subplot(2, 2, i+1)\n", " y = tfd.Normal(loc=params[0], scale = params[1]).prob(x)\n", " [ x_, y_ ] = evaluate([ x, y ])\n", " plt.fill_between(x_, 0, y_, color = colors[i], linewidth=2,\n", " edgecolor = colors[i], alpha = 0.6)\n", " plt.title(name + \" prior\")\n", " plt.vlines(0, 0, y_.max(), \"k\",\"--\", linewidth = 0.5)\n", " plt.xlim(-0.15, 0.15)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "dEAv79VVh3zz" }, "source": [ "Note that these are subjective priors: the expert has a personal opinion on the stock returns of each of these companies, and is expressing them in a distribution. He's not wishful thinking -- he's introducing domain knowledge.\n", "\n", "In order to better model these returns, we should investigate the *covariance matrix* of the returns. For example, it would be unwise to invest in two stocks that are highly correlated, since they are likely to tank together (hence why fund managers suggest a diversification strategy). We will use the *Wishart distribution* for this, introduced earlier." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "lQmwe9Agh3z0" }, "source": [ "Let's get some historical data for these stocks. We will use the covariance of the returns as a starting point for our Wishart random variable. This is not empirical bayes (as we will go over later) because we are only deciding the starting point, not influencing the parameters." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "kQYQK919Hdbs" }, "outputs": [], "source": [ "#@title External Stock Data\n", "import datetime\n", "import collections\n", "import pandas_datareader.data as web\n", "import pandas as pd\n", "\n", "n_observations = 100 #@param {type:\"slider\", min:50, max:200, step:10}\n", "#@markdown We will truncate the the most recent 100 days by default.\n", "stock_1 = \"GOOG\" #@param {type:\"string\"}\n", "stock_2 = \"AAPL\" #@param {type:\"string\"}\n", "stock_3 = \"AMZN\" #@param {type:\"string\"}\n", "stock_4 = \"TSLA\" #@param {type:\"string\"}\n", "stocks = [stock_1, stock_2, stock_3, stock_4]\n", "\n", "start_date = \"2015-09-01\" #@param {type:\"date\"}\n", "end_date = \"2018-04-27\" #@param {type:\"date\"}\n", "\n", "CLOSE = 2\n", "\n", "stock_closes = pd.DataFrame()\n", "\n", "for stock in stocks:\n", " stock_data = web.DataReader(stock, 'iex', start_date, end_date)\n", " dates = stock_data.index.values.tolist()[-n_observations:]\n", " x = np.array(stock_data)\n", " stock_series = pd.Series(x[1:,CLOSE].astype(float), name=stock)\n", " stock_closes[stock] = stock_series\n", " \n", "stock_closes = stock_closes[::-1]\n", "stock_returns = stock_closes.pct_change()[1:][-n_observations:]\n", " \n", "dates = list(map(lambda x: datetime.datetime.strptime(x, \"%Y-%m-%d\"), dates))\n", "stock_returns_obs = stock_returns.values.astype(dtype=np.float32)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8v4Jr5Psh3z6" }, "source": [ "And here let's form our basic model:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 179 }, "colab_type": "code", "id": "rA2nnMW6Hx04", "outputId": "3d6a94ee-0b50-4db3-ad32-278822cf499c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Observed Mean Stock Returns: \n", " [-0.00133401 0.00164485 -0.00130407 0.00288011] \n", "\n", "\n", " Observed Stock Returns Covariance matrix: \n", " [[0.0002607 0.00014366 0.00027718 0.00020595]\n", " [0.00014366 0.00025097 0.00017884 0.00013886]\n", " [0.00027718 0.00017884 0.00041375 0.00028782]\n", " [0.00020595 0.00013886 0.00028782 0.00066597]]\n" ] } ], "source": [ "expert_prior_mu = tf.constant([x[0] for x in expert_prior_params_.values()], dtype=tf.float32)\n", "expert_prior_std = tf.constant([x[1] for x in expert_prior_params_.values()], dtype=tf.float32)\n", "\n", "true_mean = tf.to_float(stock_returns.mean())\n", "print(\"Observed Mean Stock Returns: \\n\", evaluate(true_mean),\"\\n\")\n", "true_covariance = tf.to_float(stock_returns.cov().values)\n", "print(\"\\n Observed Stock Returns Covariance matrix: \\n\", evaluate(true_covariance))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ybjhB13Ch3z9" }, "source": [ "Here are the returns for our chosen stocks:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 293 }, "colab_type": "code", "id": "wNEjA6F9GJoB", "outputId": "edb6ad5d-54f8-46e4-f36c-5fe17cfd38b5" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABo0AAAIECAYAAADMy2ffAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 258, "width": 838 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(12.5, 4))\n", "\n", "cum_returns = np.cumprod(1 + stock_returns) - 1\n", "cum_returns.index = dates#[::-1]\n", "cum_returns.plot()\n", "\n", "plt.legend(loc = \"upper left\")\n", "plt.title(\"Return space\")\n", "plt.ylabel(\"Return of $1 on first date, x100%\");" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 511 }, "colab_type": "code", "id": "I0142HOhGZZC", "outputId": "96c971f8-d0c3-4538-feab-0d0755d9f9f0" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABhgAAAPdCAYAAAB4D2IhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzs3Xe4ZFWVsPG3CQp0E4QxIRLEdgGG\nERWQQSXMGBgTgiQVRYUxEA0joiitKKjwITC2oqJkRFEwgAIKgoMgQRQVddEgTRhAEAk2oqT+/ti7\nuEVRdW/VraqbeH/Pc59T95x9Tu2qU+nstffasxYvXowkSZIkSZIkSVIvlpjsCkiSJEmSJEmSpOnH\nAIMkSZIkSZIkSeqZAQZJkiRJkiRJktQzAwySJEmSJEmSJKlnBhgkSZIkSZIkSVLPDDBIkiRJkiRJ\nkqSeGWCQJEmSJEmSJEk9M8AgSZIkSZIkSZJ6ZoBBkiRJkiRJkiT1zACDJEmSJEmSJEnqmQEGSZIk\nSZIkSZLUMwMMkiRJkiRJkiSpZwYYJEmSJEmSJElSz5aa7ApIkiRp8kTE4nrzE5k5bzLroskVEcsC\nBwHbAE8B7gXenpnfGdDxzwM2Bc7PzM0GcczRjhsR84D9ATJz1qDuT5IkSdIIAwySJEnTSFNj6pWZ\n+Zwu9zkdeDVwXWau2bL5irq8ZYB1fAvwTAMW087ngXfV23cB/8f0GPF8NbBSXc54EfEa4EXAYZl5\n52TXR5IkSY9tBhgkSZIewzLz+UM47IHA04F5Qzi2hud1dflL4KWZee9kVqZbmbnLZNdhgn0IeClw\nDGCAQZIkSZNqOvRIkiRJ0jQREU+hBBc0/Ty5Ln88XYILjzURsSTwgsmuhyRJktRggEGSJEmDtMFk\nV0Dj1rg2+Oek1kKjWQ+YPdmVkCRJkhpMkSRJkvQYNtokzxHxLGBPYDNgDeDxwK3A9cB3gGMy8/Za\ndjPgpx2OfWxm7tyybUvg7cCLgScB9wM3A/8LzM/My0ep8xuA3YD1gWWBa4GTgENrPf9Qi26emee1\nqc+OlLknDgM2BG7JzHVb7mMT4L+AfwNWBR4H3A78qj6ekzvUrfk+vkdJZ7MjsDqwCLgU+GRmXlzL\nvwz4MKVX+hOAG4FvAfMyc1wN/b0+t011btg/Ivavt9+emcd0eb9PBvajzPexKnA35Xn+QmZ+r4v9\n1wT2ALYA1gaWA/4G/BE4rR7n7232O48uJo+OiCWA64DVgLMy81WjlF0W+DOwPHBkZr6ni/rPo0wq\nnZm5TkTsQ5nT4mnAzpn5jZbyrwHeAWwEPBG4p9bvDODwzLy1qeyalNd5s2sjgubHHRELKe+BR73n\n2tTzEZNft7yHn0qZ5+EA4FnAcY3noOU1/i1g1/o4ngnMAW4CzqS8zm9uc//LUt5bW1MCJitRXiu3\nAD8DjsrMX7aruyRJkqYeRzBIkiTpUWrj528pDfnrUib9vZrSoL8xcAjwu6gtnJTG8ysojbINV9S/\n65uOu3REnAD8ENiW0gC+sO63NqWh8rKI2LdDvT4LnAr8O7AicAOlYf5TlAb0J3Xx8FYAzqIETm6m\nBA6a72MecAHwVmBNSlBlIbAy8CrgGxFxUm2w7mRp4EeUeSiWqvfzL8B/AudGxL9GxJuBcynP5+3A\nP4BnUAIOx3XxOB6hj+e2cZ4a/ty07q9d3vdalODL7sBalNfLXyiN59+NiP3G2H9L4PfA+4HnUwIL\nCyjP44uBzwKXRMS/dFOfdjLzIcq8BQAvj4jVRin+GkpwAeDoXu8rIt4HfAZYhvK+Wdy07XER8S3g\nB8AbKK+LhcAs4F+BjwBZg08N91HOxw1N6/5Q1w1jcusNKe+ztSiBjXYps5akBBqPpLxPbqnl1gTe\nDfwiIp7QvENErAxcQgnuvawe42rK58e6db9LI2LvQT8gSZIkDYcjGCSpRUS8ANiJ0vD0dErPun9Q\nLup/CZwC/KA2VIx2nCWBHSiTZm5I6Z24BHBbPc4PgBMz874u6vRUYBfgFZQegqtQLsZvovQ2PDEz\nfzGRj0/SzBURSwNfp/TaPxPYJTP/r26bBWxCaQBfC/gysFlmXgY8v6V3dLsJpD8BvLnePgD4TKNX\neu0B/wXgjcCBEfHbzDy9qV5bUEYEAJwHvDkzb6rbXgGcSGmIHssulMbQDTKzOSBCRLy4UX/KCIT/\navQkj4g5wMGURtAd63PTKRDwPsqIj2dn5u/r/i+s9Z4DfJ7SQ/zDwGGZ+UBEPA74CvA2YLuI2Dcz\n/9TF42kY13PbOE9NPdOPbB3N0oWvUnq9/xN4U2aeWo+5FCWwcQQdJiSuPdpPpASvrgZe3/SczaL0\nkP8i8Gzgc/V443U08FHK9/HOlMBUOzvU5e8z85Ie72MZYB/gnZn59TbbP08JAN1PeZ0c1RitUl8j\nX6WMzvlBRKyTmTfX1/nzI2JnRgIe/5mZC3usW7f2owRj9hhlJM37KL8jXpmZZ9f6LwnsS3n9rU55\nrxzUtM/HgOcAdwDbZeZPGhvq/C2fo/xGOSQiTs/MYQRPpKGKiN0on7cAB2XmR4a5f5tRaM3+ThkZ\ndy7luyZH2X/jbq8nJElq5ggGSaoiYnZEnEhpZN+bEoQ9k3Kh/xNKg8Gbge8CP4+IVUc51vMpPTFP\noPROXAh8s/7/R2BLSuPdVTUNx2j1+gBwDfBJSpqCC4GjKCkUHqT0Fr0oIr4TEStMxOObSBFxUU1/\nIWniPIcSFAXYrxFcAMjMxZl5AaWR92fAwtowPqba+/z99d/jMvPjzSlvamP/m4Cr6qr9Ww6xV10u\nArZtBBfqvmdTGs9f3EVVXgS8pTW4UG1Vlw8BuzanqcnMRZQRHY1e5DvQ2fOArRsN5XX/X1JSOQFs\nDpyamYdk5gN1+32UxtmGf+visQADeW7HLSKeTRlRAiWocWrT/T6QmV+hNBw/ud3+lID3SvX2Pi3P\n2eK6fyMl1RtrI/a41IBNIw3QzjWA0fp4VqCMNIGREQ+9WAP4SbvgQkTMpTS6A3wwM+c3N+DX18jL\nKQ3wK1ACUJPhicBuY6TpeiHlNX52Y0VmPgh8mpLqCcrrvNkWdXlic3Ch7nsL5XPlLEpwb0r8DpHG\nYdem228bx2fWePf/JnB4098RlPfTMpTPnV9HxLY91mVKiGJxDbJKkqYYRzBIEhARj6f07NmQkhLk\nnZl5aUuZWZQGh69TGrB+FBEvysz7W8q9iNJDdTZwLPDfmXlbS5kVKRfguwHnRMSWmfmI3OW13Gcp\nvXX/RrnoPrZ1ZEHt7fg1Si7jZ0TEJq05qgf5+CZS7fn6fODiyaqDNIWtHRG/7rLsWj0eu7kTymqU\nwOQj1LkNNu3xuFtRevUD/E+7Apl5f0QcTen1/KKIWC0zb6zpiBqN2Kdn5l/a7Ht+DUhuNkY9Ls3M\nq9ptyMwP11EYq7R+dtftD0XEJZSe288Y5T5+1q6nKHBl0+2j2hz/5oi4g5L2qZcG1nE/tz3cRyfN\ncxkc36HMlym919vV60c1SPUkyii/dn5BCYIvT2n8vmV8VQXKd2ZjnoeXAee3bN+K0iD3IJ0fz1hO\n7LB+R8r7axHlOXmUzLw9Ik6i/EbYhpHA2kT6Vhff/xdl5s9bV2bm4vrZtAbl86NZ47OlbXqqGmzr\nODeGNNVFxIaUVGdXUX6/v5AyL833J2D/w9qNQKifrwcCHwCOj4iLM/P6R+09tW0w2RWQJHXmCAZJ\nKj5NaXy/Cti0tfEdHu5FeQalMeJeYB1GeroCDzfkf5MSXPhCZu7coYHqrszcnZKa4fHASTXo0Hys\nV1CCC/cDr8jMo9ulLaq9HTelNFo9n5IXfSiPbxI8l9LII+nRlqE0QnTz13F0Uwe/pcwZAOXz6SMR\nscYA6vyiuvwnJV9/J5c13V6/LlejfLYCdJwAmjIyayx/GG1jZv6jedRGG4vqcrTPpys6rP9b0+3f\njFFm2VGO36qf57Zfz67LRZl5TbsC9fns+JzWkQ43jdKovajpdr/fC6dSRghA+3RLjZEpZ9Ze9ePR\n6TXWGJWyYIzRAY1GwqdFRDfzigzaqO+R6lG/JZrcXZetr+Gz6nKrOvLyZf2MSJGmoMbog1PqH5S0\nfBO1/6PU0XEfony3P57+0sxNFgMMkjSFOYJB0mNeRKwCvKf+u2dm3jFa+czMiNgY+FNm/q1l806U\nHq03Av/dxd1/gpLSYx3gvyi5vRs+XpeHj5UPNTPvioh3USYl3SUiPt2UL32Qj6+jpvytT6bkt34T\n8NfMjKYyK1J6Ym4NzK2rr6f0yvpMc90iYiGl9yPApo3jZ+asiFiTMukkmdkuvUXb7bVn86aU3Ndz\nKJOvrgqsnZk3tGy/nJJDegvKnBd/pqRs2Lf1eYmIzerj2ojSs/ZuSgqVU4EjMrNt3nGpT1dm5nO6\nKRgRp1N6QHYlM++LiO0o780nUIKUn46IayjpZc4GzmgdLdWFp9blzTWVSic3N91+Sl02N7KO1ujb\nbtRAq0695AGIiJUoDTpbUiasfTIjwY1u3d1hfXOu7E6fsY0yj/p8G0U/z22/Gufm1lFLlft+WrsN\ndcTa9pQe++vVYz6hXdl+ZeY/asrA3Skpl3ZvfK7X78yX16LH9HE3nV5jjed8/THypjdbjbGf20Eb\n9T1Sjfbd1ugQ0foa3p/SI3szym+BrYG7IuIC4BzgtCHOKyENVUQsz0iA8kTKZ/yBwH9GxFMz8+aO\nOw9g/9HU0Xc/o3TeaTc/0kA0zRNzBnWOGUoA/NOZeWBTufUpaf02pXzHLqIE3Y/KzBObym3GSFo7\ngKPrSLxjM3PnGJn36djM3LlNfR61vek64R7K7/ajKKO4L83MVzRvz8w5EfFGyuiP9ShzU/0B+H/N\n9azHfRzle2V7yrXdspTP7t8BX83M73T1JErSNOQIBkkqjW7LUfIFnz1GWQAy84oOje/b1+XRmfmP\nLo7zACMpMh7O5R0RT6NMogrwpS7r9HPKD9ilKRfsDYN8fN3YjZLG4nuU+RyAhyeqvowSVFkFOK1u\nX4bSq+qKlh7SXwd+XG//HyP5ZAdhfcrzekm9n9ZztQal92jUOp5OaezajZE84I3HtQMl/dSrqRdG\nlIuqlSmP9fzR5saQpqos8yysTQl2NiZaXZvS8P4t4KaI+GhNXdStRiP9vWOUa35PNvZp7gk9Ws/v\nRaNsa7in04aIeB5lRNjBlADjGpSG1CspoxKuYKT3+2jGbDzOzG4bmLvRz3Pbr8a5Ge28tN73w+pn\n5PmMzFsUlNF7f2TkOb+h3b59+FpdLscj59J4I6UT1u10mdKknczs9BprPOd/Y+SxjfU3GTq+R5r0\n/Pqtz8sWlPN8LvAAsCLlO/RQ4NqI+H5ErN7rsaUpYEdKB5aLM/MPNQXd2cCSwNsnYP+xNIKCEzU6\n+GTKZ+wxNI2Kiog3UdKfvoXSKetYyu/ujYATIuKYpvlxbqT8/m+MgPtx/b+ra5oufAp4KWUE+jmt\nGyPivZTvpptrmd9RriNOaDOfxWnA/6P8bjidck3wK0oQ5ds12CFJM5IjGCRpZELQnw+gsWfjuvzf\nHvZp9Mp5fkTMyTKJaOM4N9UJKXs51nOAlzCSg3uQj68bOwEvzMzrWtYfDTwT+A7w5kZqiJpW6svA\n2yiN/f8OkJmfrL2gXg5cnZl7D7CO7wZ2zMzvdtg+D/hcZh7QWBFlMu4LKL3I1srMa5vKzgJem5ln\nNZVfmnIh8gZgZ8pEe9K0UkcVHQAcUCenfTnlPfpKSqPgp4DVgXd1echGo+VyY5Rr3t4IGNzXtG7p\nLvftSQ2WnEIZ2fRPSvDzpNb5HiLiGMpn1lTSz3Pbr0bgYKzJvjvV7f8xkjroS8ChmXl1c4GmXrED\nkZm/jojLgRcAbwW+Wjc1gg0n1bQig9Z4zn+XmV1P4j1gvYyMGbj6W+S7wHfryMYt6t+rKfPFvJYy\nR8hzM/P2yaup1LNGeqOvNa37GmVekXdExEFj/Bbvd/+xPLMuF/ZxjG5tTAkcb9Nc54hYi/KYlgR2\nyMxvNm0LSuDgbZTG/uPrd8HeEfF8ygi4kzLzmAHV8XGU3zXP6zDa+PHAfsCGmflwSsOI+ArlXO1O\nTWMVES+mjIK4Gli/Xs81yj+TklJu34j4QutvCkmaCRzBIEkjk2i2Noj3pF4kN3om9nKsRgBhCUZS\nXDRSSPRap8axmidPHMjj68E5rcGF2iP4lZSGlV2a807X27tT0olsERHrTEAd/zpKcAFK2qZPNa+o\nI0Qaz+/zmjY1Js+9sKX8/ZRAxoaMf5JQacrIzAWZ+cXM3IbyGfXtumnXevHcjUYPxKfUlDidNH+G\n3VSXzaMGnjjKvjHKtrFsBDyr3v5UZh7RoSFg5T7uY1j6eW771WgEHu28wEjau4fV/Ptvrv+ek5nv\nbQ0uVMN4zhuNeJtExNMjYjXKPETQX3qk0TQm1W47yfEAdJNeayipp8ajzkl1WmbuQRkh9VbK5NpP\nBQbZsUAaqtoA/iLg7zxytOv3gb9QXt+bD2v/Lur3dOB19d/vjfc4PViZkkaoNSCyB2UExTeagwtQ\n0rRSGvShjBoetqWBb46SynQpSqra1vmSGr/r210P/KY5uABQv9NeRklNdVd/VZakqckRDJI0EhRo\nmw6g5kM9oN02gKae9XOaVneTWqCh+Ufo8i3H6uU4zcdavmndoB5ft37aZt0WdXlRux/xmbkoIs6n\n9FrcnJIWY5ja1bFZp9EeN1Hm2GiekDsp+Wy/FhHva54YNjNvZeLzZksDExFL1VRuj1DnfXkPJZ3M\nLMpE0u0ahVtdQpkT5vGUhpRO88ts3HS7MSnxQkrD45KUkVqdvKqLenTS3AB+frsCNZ3Ppn3cx7D0\n89z2q5H6YoWIWKPNCDbqCJhV2uz7REZSLLV9zqvX9lfFtk6ijJ5YhpLicClKsP83mTnaROL9uBh4\nDbBaRKyemde3KxQRS48y4fVoGqNJRkvNt9E4jjswo3yuLAaOj4jtKaMZhpYnXhqC/6rLU5rTjNY5\njY6nzEewCyU12DD2b6t+Z/0b8DnKZ+2PMvNHvRxjnP4JXNRmfeOa4Icd9jujLjeMiNmjpJsblLGu\nCdqNSm8E51uvBwBeHRG7Ase1dKj67firKElTnwEGSRrpSdLpYnw2ZQLfThoN8M09UlZgpDfpWJqD\nAY3G97HqNNaxmhvxB/X4utWuQX3NulwjIg7rsF8j3/LcDtsHaaxG/065vhsTpzaPANyFkg92W2Cb\niLiUMqz7TEqg4iGkaSYiDqH0JP4uI40erZrTFDUHSh9+zUfEMi3z0XwXmE9JlbMXbRrBI2I5Slox\nKD3ab4WHG1l+QZmf5nURsVzrJNMR8VL66OFJ6Tna0Kk3/sGMfNZOVB7rboz7uR2A5rzVbwIOalPm\nPR32HfM5r/m6m4M6A3neM/POiPgOZQTFDoy8po8ZxPE7+AbwSUpg7qN0Ti92dES8BJifmQc3rW/+\nTmn3PNxImVy0beN8RPwbZWTdhIuIzSkpsFaJiGeMMtdT4zwMKoWXNFT1s7UxEutrbYocRQkQvCEi\nnlDTDw5s/yYXlSxDbS2mzHUwESMDAP7S4TfwmnW5bUR0+iy6n/I5sDZlfrNhGs81QeN64OGRYpl5\neUR8Bvgw8BXg4Ig4j3KNcHq7wLskzSQGGCRpJA9p29Q8mXkLLakGImJN4NqWcosi4nZKD825NE1m\nNoZGg/r9lAnEmuvUbdqR1mM1/4htHKuvx9eDdg0CjREZz2Ik/UgnEzEh8liNFl33Gs3MSyLiOcB/\nA9tQeoZuBHwEuC4i9mkdAi5NA7+nNPbuEhE3Af/TnAu95lBu5Ky/DfhZ0763NN3eBjixMb9MbdA9\niDJqaoeIuAb4dGbeW4+7Wj3u0ymTv+7HIx1FCTA8ETg2InbJzLvqvq+kTMT4M8Y/wuAXjDRsfDQi\nLsrMm+vx5wIHUtIcHAp8AHhSRERN6zCpBvDc9nPfl0TEL4EXAh+LiCsy84f1fpemBBf2oKSfW71l\n37sj4grKKJi3RcTxmXlp3XcVYE9gX8pnaiNw8TIGN9LtKErD3gvr//dTXkdDkZnXRMSXgPcC/xUR\nf6Wcp0UAEfEUYH9GGhsXthyi+f21dT3ns5tScpwH/AewZkTsC3y20cgXEf9OeWyXMDlBht8ATwZW\nAn4YEbtn5sOTWEfEbEpqwZfXVd9+9CGkKWl7Rn6/HtChkf8BSlBwJx49L1e/+zd8k0d+RgDcS/ns\nPTszr+n8EAau02/txjXBVl0cY7pdE+wbET+lBIM2A15f/74QEWcC722aw02SZhQDDJIEP6c0FL00\nIh7fPJx1nMd6HWUS1O93uU+jIeySRkMQZUjxYmDliFg/M3/V47Ga00wM8vGNV+PH+zcy800TcH+j\nTQA7cJl5A6URbM8abHgVpRfv+sDJEfHPMeZ8kKaaoymTxb+d0ti5X0TcTJkr5QmMzBfzN8okjfc2\n7XsOpSFkKeCEiDiaMqKrkZ/4oHr7HZQe3B+IiGspqRvWoAQ87wPekZmtvfCPp6RlenVdvi4i/kRJ\nU/BUysihwxhngCEzb42IgymN2S+gBAkX1rqtRpkH4nX18X2g1vXyiLgOeHFm3j2e+x2gfp7bfr2d\nEtxZCTgjIm4B/koJKMwBPk1JbbV6m30/DJxOaUy6OCKupzzHa1BGjO0FfJ0SyF0Z+GJEvA/YKzPP\n7rPe5wPXUHrKAvwwM2/r85hj+QDwJMpr+MPA++rrbDnKvElLUn4DHJiZp7TsezHldfgEynM6j/Kd\n1+go8EXKqKPVKQGx/65Bwn+hNO5/j5IaasID35l5e0S8BfgW5fPl17Vjxq2UhtOnMTJR+Bcz8zsT\nXUdpnHZtuj3W9887eXSAoN/9Gw4bwmf7oC2ifGe/cgCf392Y6GuCs4GzI2JZyrl8NbAj5drgZxGx\nbuscDZI0EzjJsyTBjyg9cJ9ASQnSj0avx50iYsxJFOvklu+o/z48EXDtKdzIj7pnN3ccEZsA61Hm\nWji1adMgH994NXKzt2tYGo/mFCxLttm+5oDup2eZ+bvMPCQzX8BIb9vdJ6s+0nhk5uLMfAcl7/0p\nlAbY2ZQJlJej5O4/CFgnM89t2fcaSu/rpPT8WwT8smn7g5n5TsrF9rcpEwSvTWkA/T1weD3uiW3q\n9SCl1+MHgF9TGqGfQklh8G5K4/99Tbv0nKIsMz9Kaey5rNZ/LUo6hCOAF2TmBbUB56OUUWdLUvLe\nPyqn/ETr57kdwH3/lpKW52uU87EKpUH7UkoQaj86zAWUmWdSAvNnUdL6rUYJNpwGvDQzv1DTYe1E\neV09SJlrou/JMmve/683rTq632N2cZ//yMxtKe+vUykTuK5FOU/X1jpsWJ+z1n3vogQmrqDkOL+X\nEnRobL8DeDFwJGX0w2xK0OI6SmqUbRjH+2JQMvMMSqDpUOByyvv1mYy8j08E/j0zJyqNi9SX2rFk\nY+r3UWbOavdHaVT/O/C85tRA/e4/DQ3rmqDd9QBM0jVBZt6bmWdmmcB+HeC3lO+2bkZuSNK04wgG\nSY95mfmPiPgUpeHlsxFxXmYuGGO3jTusP5WSAuB5wJERseMYOfj3o/zovIaSF7XZAcArKSkjvpOZ\np3c6SJ2o+Yv138My86+NbQN+fOPVaIDcqNOklhHxKuCGzLyyzf6zWv5vztv8FB4938Urxl3THkTE\nUymNYn/KzAvbFDmJktrjaRNRHz02ZOZm49jnNaNsa31/NW87ndKzvNf7+xall/JoZc6iNCj3euwH\nKI2Th7bbHhFzmv59RI730R5rS7mjKKlzRitzIKWHeOv6Ue8jM49hjBz/mbnmWHUcY//xPrddPT+j\n7H8dZV6aTtvfzEjqn9Zt5zP6JM/UtEuPmhi003siM+dReviPpZGD+xZGJhjtWQ/31yg/3vfXuYwy\nAXJN69VpzgsowadHnevMPK/d+jbluimzMyPzfbRuu5YSJJRmgsbogx9l5p87Farp4E6jfAbuQklV\nNoj9p5tzKSnptqPN92zt+f864CfZlJqxSadrgqe0OdbjKSn1hi4iNqBMpv3VbJkfKjP/EhFnA8/F\nawJJM5QjGCSp+B/gO5Re/v8bEdtExKMuoCPi6RExn5GRCmc2b6+9a3ekpC/YDjit5r1uPc4KdbLj\neZQfxtvmIydCpfaQ/Rjlh/S3I2LviHhUYDgi1qfkXH5eXc4b1uMbr8z8PaWxaylgfr14aL7fV1HS\nNlwcEc2TfDYuGlZvrm/todkIKjyiMSsiNgXeRkkvMWzPo4w8OboGG1ptX5e/noC6SI8ZY4wQW68u\nF/PI+WikR6nfLe+r/361BrAkaUwR0ZgTAbob/XRMXe4QEbP73b/bek4xX6KMvHp5ROzUvKFe53wB\nOJmRjlMNjWuCNVrW/7YuN4uIh+euqyOcD6aM/JgI76ekaDyo9RorIlagjCwErwkkzVCOYJAkSoqE\niNiekvJjb0rvvhsj4ueUFBMrU4bwv5DS4H8b8BnKD8nWY/2+piv6JqUHzqsj4kJgASWtw+qUnJzL\nUCaC3r6mlmhXr4Mi4g7gc8DnKZNnnk/pZTmH0sD9r5SGtKMpk4c9qnFkkI+vD++k9Fp6DXB1RPyY\nkhrh2ZQePw8C72rJff0rytDnNYFfRcRtwEeyTAB6BPBZYF5EvAy4itIraEtK/umv0nm49EBk5lkR\ncSKlN9nVEXEucCMlh/T69e824OPDrIf0WBER7wE+BTwhIp6ZmX9q2b4kIz3kr2gezSV1sCsj6QW/\nMMl1kTS9vJHSeecvdDca6VxKKrCnUzqh3Nfn/l8fvXjP9q7z53Ryfmae1s8dZOa1EfFO4DjguPq9\nfgWwPGVi5KdR0ru1jnK6jHINsW9EbAwsysxtgJ9SggzPBS6LiB8Bd1LmeVmF8pvhs/3UuUv7AZtQ\nUtu+rl5j3VXrsAXwROC0OsJQkmYcRzBIUlVzV38IWJcyceJNwOaUxof/oAQETqA0Xq2VmYd2Sn+U\nmX+gpC/YgTJyYLV6+y2UlEin1+M8t1NwoelYR1Ia/z9KyaG9MaXX/mson+OHU/KCv6N1FMSwHt94\nZOb/ARtQJoy9jXJRtjMl4HISZYLUY1r2+RPlh/pNtd7PZCS/+sGUXqd/oFxE7Ei5SNs6M4eeQ7vJ\nTpR5NC4CXlRv70AJMhwK/GuiTd93AAAgAElEQVQXKakkdeenlNz8jZFd6zY21FENR1EaGaB8Rkgd\nRcRbKSP8AA7KzFtHKy9JLRrpjU7MzPvHKlx/Vx9X/91lAPsP2vbAXqP8jTUBdVcy8xuU38wnUIIl\n7wTeQAm0fBJYPzNvbNnt85RUtPdROiYtU4/1ICU16vGUeWneSOngdTllPpqbBlHnsWSZf2ojSget\nRcB/Au8CXg5cSTlf205EXSRpMsxavHgiMkhIkiRJ/as9H79CCbAupjQeLAKeASxdix2emXtPTg01\nlUXERpTXz2qU0XtQ5l14fW2okiRJktQDRzBIkiRp2sjMr1HSuR0DXAv8CyWN2p8p6d9eYXBBo1iC\nMpJwReBqYF/gDQYXJEmSpPFxBIMkSZIkSZIkSeqZIxgkSZIkSZIkSVLPDDBIkiRJkiRJkqSeGWCQ\nJEmSJEmSJEk9M8AgSZIkSZIkSZJ6ZoBBkiRJkiRJkiT1bKnJrkC/7rrrrsWTXQdJkiRpIqy44oqz\nJrsO04nXCpIkSXqsmKxrBUcwSJIkSZIkSZKknhlgkCRJkiRJkiRJPTPAIEmSJEmSJEmSemaAQZIk\nSZIkSZIk9cwAgyRJkiRJkiRJ6pkBBk1JCxYsYMGCBZNdDQ2I53Nm8XzOLJ7PmcXzKemxwM+6mcXz\nObN4PmcWz+fM4znVMBhgkCRJkiRJkiRJPTPAIEmSJEmSJEmSemaAQZIkSZIkSZIk9cwAgyRJkiRJ\nkiRJ6pkBBkmSJEmSJEmS1DMDDJIkSZIkSZIkqWcGGCRJkiRJkiRJUs8MMEiSJEmSJEmSpJ4ZYJAk\nSZIkSZIkST0zwCBJkiRJkiRJknpmgEGSJEmSJEmSJPXMAIMkSZIkSZIkSeqZAQZJkiRJkiRJktQz\nAwySJEmSJEmSJKlnBhgkSZIkSZIkSVLPDDBIkiRJkiRJkqSeLTXZFZAkDd6XL72z533etcFKQ6iJ\nJEmSpClr/hHdldttz+HWQ5I0bTmCQZIkSZIkSZIk9cwAgyRJkiRJkiRJ6pkBBkmSJEmSJEmS1DMD\nDJIkSZIkSZIkqWcGGCRJkiRJkiRJUs8MMEiSJEmSJEmSpJ4ZYJAkSZIkSZIkST0zwCBJkiRJkiRJ\nknpmgEGSJEmSJEmSJPXMAIMkSZIkSZIkSeqZAQZJkiRJkiRJktQzAwySJEmSJEmSJKlnS012BSRJ\nkiQ9dkTEJ4GPAcdm5s5N65cA9gbeDswF/gH8HJiXmZdOQlUlSZIkjWEgAYaIeC7wIeAlwKrA3cCF\nwIGZeXEtMw/Yf5TDHJ6Zew+iPpIkSZKmnoh4NrBPh81fAd4JnAocDKwI7AX8LCK2yMyLJqaWkiRJ\nkrrVd4AhIjYGfgLcCcwHbgDWBXYHtoyIzTLzwqZd5gFXtjnUgn7rIkmSJGlqqiMUvkq5Fli/ZdvG\nlODCKZm5XdP6U4GrKNcZL5i42kqSJEnqxiBGMBwJzAI2ycyFjZURcQlwGqWH0uubyp+fmecN4H4l\nSZIkTR/vATYG/h04p2XbW+vy8OaVmfl/EXEa8OaIeHZmtuuoJEmSJGmS9BVgqL2QjgX+1hxcqH5c\nl6v3cx+SJEmSpreIWA04CDghM8+NiNYiGwIPApe02f1i4M3ARrQfCd2zBQscPD0TeB5nFs/n5Fj1\nnnu6KndTj+fH8zmzeD5nHs/p9DZ37tzJrsIj9BVgyMyHgEM7bF6nLn/TbmNEPK4e475+6iBJkiRp\nypsP3A+8v8P2NYFbM/P+Ntuur8tnDKFekiRJkvowkEmeGyJiJWAOZbLnQ4BrKXMuNNsuIuYD69V9\nfgd8LjOPH2RdjMTNDJ7HmcXzOXEW3bNcz/ssWHBbj+U9nzOJ53Nm8XxOf1OtV1I/IuKNwOuAd2Zm\npy+b5YE7Omy7p6nMQMyk5/exqPEZ53mcGTyfk2z27K6KdXt+PJ8zi+dz5vGcahiWGPDx7qBM8nwS\ncBawQWZe21JmS8q8DVsCewErAsdFxD4DroskSZKkSVQ7IP0PcD5w9CRXR5IkSdKADXQEA7A5MBtY\nH3gvsEVEbJuZlwEnAL8ALsrMu2r5MyPiZOCPwP4R8eXMvHMQFTESN70ZUZ1ZPJ8Tb86dvX+Uzp37\ntK7KeT5nFs/nzOL51BR0MLAy8O7MXDxKubsp1xHtzGkqI0mSJGkKGWiAITPPqzfPiIgTgMuBkyJi\nncy8Gri6zT63RsS3gV2BTYAzBlknSZIkSRMvIl4GvBM4HFhUJ3putlxddw/wJ+CFEfG4NnO0rVGX\n5v6SJEmSpphBp0h6WGYuBM4B5gJrj1H8z3W5wrDqI0mSJGlCbQHMAvampFFt/gPYtt7+PHAh5drk\nxW2O89K6/PkwKytJkiSpd32NYIiIdYGzgR9n5jvaFFmpLpeJiO2BhzLzlHaHqsvr+6mPJEmSpCnj\nJOCyDtt+QOmMdBgjAYc9gfcBP2sUioi5wGuBn2bmNcOrqiRJkqTx6DdF0gJgGWDbiDigeULniFib\nkvLoNuD3wCnAGhHx68xc0FRuPWAr4Ebgkj7rI0mSJGkKyMyrgKvabYsIgBsz8/SmdZ8H3h8RpwGn\nAv8CvB+4F9hj6BWWJEmS1LO+AgyZ+UBE7AGcCFwcEfMp+VPXAnYHlgV2y8wHI2I34EzgglruWsrI\nhT2Ah4BdM/P+fuojSZIkadr6IOUa4V3AV4G/A+cB+2Xm7yexXpIkSZI66HuS58w8OSKuA/ahBBVW\nAu4GLgUOzcyza7lzImIjYD/K8OcVgdspQYeDMvPX/dZFkiRJ0tSXmbParFsMfKH+SZIkSZoG+g4w\nAGTmRZQ0R2OVuxzYehD3KUmSJEmSJEmSJs8Sk10BSZIkSZIkSZI0/RhgkCRJkiRJkiRJPTPAIEmS\nJEmSJEmSemaAQZIkSZIkSZIk9cwAgyRJkiRJkiRJ6pkBBkmSJEmSJEmS1DMDDJIkSZIkSZIkqWcG\nGCRJkiRJkiRJUs8MMEiSJEmSJEmSpJ4ZYJAkSZIkSZIkST0zwCBJkiRJkiRJknpmgEGSJEmSJEmS\nJPXMAIMkSZIkSZIkSeqZAQZJkiRJkiRJktQzAwySJEmSJEmSJKlnBhgkSZIkSZIkSVLPDDBIkiRJ\nkiRJkqSeGWCQJEmSJEmSJEk9M8AgSZIkSZIkSZJ6ZoBBkiRJkiRJkiT1zACDJEmSJEmSJEnqmQEG\nSZIkSZIkSZLUMwMMkiRJkiRJkiSpZwYYJEmSJEmSJElSzwwwSJIkSZIkSZKknhlgkCRJkiRJkiRJ\nPTPAIEmSJEmSJEmSemaAQZIkSZIkSZIk9cwAgyRJkiRJkiRJ6tlSk10BSZIkSTNXRDwX+BDwEmBV\n4G7gQuDAzLy4lpkH7D/KYQ7PzL2HXFVJkiRJPTLAIEmSJGkoImJj4CfAncB84AZgXWB3YMuI2Cwz\nL2zaZR5wZZtDLRhyVSVJkiSNgwEGSZIkScNyJDAL2CQzFzZWRsQlwGnAPsDrm8qfn5nnTWQFJUmS\nJI2fAQZJkiRJAxcRSwDHAn9rDi5UP67L1Se0UpIkSZIGygCDJEmSpIHLzIeAQztsXqcuf9NuY0Q8\nrh7jviFUTZIkSdKAGGCQJEmSNHQRsRIwhzLZ8yHAtZQ5F5ptFxHzgfXqPr8DPpeZxw+yLgsWOKXD\nTOB5nFk8n5Nj1Xvu6arcTT2eH8/nzOL5nHk8p9Pb3LlzJ7sKj7DEZFdAkiRJ0mPCHZRJnk8CzgI2\nyMxrW8psSZm3YUtgL2BF4LiI2GciKypJkiSpO45gkCRJkjQRNgdmA+sD7wW2iIhtM/My4ATgF8BF\nmXlXLX9mRJwM/BHYPyK+nJl3DqIiU63Xl3rT6HXpeZwZPJ+TbPbsrop1e348nzOL53Pm8ZxqGAYS\nYIiI5wIfogx3XhW4G7gQODAzL24qtyywL7ADsEYtdy7wscy8ahB1kSRJkjT1ZOZ59eYZEXECcDlw\nUkSsk5lXA1e32efWiPg2sCuwCXDGRNVXkiRJ0tj6TpEUERtTehttAXwV2KUuNwf+NyL+rZabBXwP\n2A/4X+AdwOeAzYCLImLtfusiSZIkaerLzIXAOcBcYKzrgD/X5QrDrJMkSZKk3g1iBMORwCxgk3qh\nAEBEXAKcBuwDvJ4yauHlwMGZ+aGmcucAlwEHA1sPoD6SJEmSJllErAucDfw4M9/RpshKdblMRGwP\nPJSZp7Q7VF1eP4RqSpIkSepDXyMYImIJ4Fhgr+bgQvXjuly9Lt9al0c0F8rMyynplF4TESshSZIk\naSZYACwDbBsRazVvqKOXNwFuA34PfIIymfPclnLrAVsBNwKXTESlJUmSJHWvrxEMmfkQcGiHzevU\n5W/qckPghsy8sU3ZiykXGC+gzMkgSZIkaRrLzAciYg/gRODiiJgP/AlYC9gdWBbYLTMfjIjdgDOB\nC2q5aykjF/YAHgJ2zcz7J+NxSJIkSepsIJM8N9QRCHMokz0fQrkwmBcRywMrA9lh18Zw52cwoABD\nY1Z0TW+ex5nF8zlxFt2zXM/7LFhwW4/lPZ8ziedzZvF8Tn9z584du9A0kJknR8R1lLSpu1PSIt0N\nXAocmpln13LnRMRGlPna9gRWBG6nBB0OysxfT0b9JUmSJI1uoAEG4I66XAwcDXwoM2+PiFXr+r93\n2O+eulx+wPWRJEmSNIky8yJKmqOxyl2Oc7JJkiRJ08qgAwybA7OB9YH3AltExLbATQO+nzHNlF5f\nj1WNnpeex5nB8znx5tx5Z8/7zJ37tK7KeT5nFs/nzOL5lCRJkiRNpIEGGDLzvHrzjIg4AbgcOAl4\nUV0/u8Ouc+ry7kHWR5IkSZIkSZIkDccSwzpwZi4EzgHmAk8GbgNW61B8jbo0YbAkSZIkSZIkSdNA\nXwGGiFg3Im6IiK93KLJSXS4FXAisFhGrtyn3UuBeyogHSZIkSZIkSZI0xfU7gmEBsAywbUSs1bwh\nItYGNqGMXLgK+Frd9L6WcpsCLwROzsxFfdZHkiRJkiRJkiRNgL7mYMjMByJiD+BE4OKImA/8CVgL\n2B1YFtgtMx8EfhARpwJ7R8QKwLmU1EgfBG4EPtJPXSRJkiRJkiRJ0sTpe5LnzDw5Iq4D9qEEFVai\nTNZ8KXBoZp7dVHxH4MPAW4CdgDuA04GPZuYt/dZFkiRJkiRJkiRNjL4DDACZeRGwVRfl7gM+Wf8k\nSZIkSZIkSdI01e8cDJIkSZIkSZIk6THIAIMkSZIkSZIkSeqZAQZJkiRJkiRJktQzAwySJEmSJEmS\nJKlnBhgkSZIkSZIkSVLPDDBIkiRJkiRJkqSeGWCQJEmSJEmSJEk9M8AgSZIkSZIkSZJ6ZoBBkiRJ\nkiRJkiT1zACDJEmSJEmSJEnqmQEGSZIkSZIkSZLUMwMMkiRJkiRJkiSpZwYYJEmSJEmSJElSzwww\nSJIkSZIkSZKknhlgkCRJkiRJkiRJPTPAIEmSJEmSJEmSemaAQZIkSZIkSZIk9cwAgyRJkiRJkiRJ\n6pkBBkmSJEmSJEmS1DMDDJIkSZIkSZIkqWcGGCRJkiRJkiRJUs8MMEiSJEmSJEmSpJ4tNdkVkCRJ\nkjRzRcRzgQ8BLwFWBe4GLgQOzMyLm8otC+wL7ACsUcudC3wsM6+a6HpLkiRJGpsBBkkSAF++9M6u\nyi26ZzkA5txZyr9rg5WGVidJ0vQWERsDPwHuBOYDNwDrArsDW0bEZpl5YUTMAr4H/AdwNPAJSjDi\ng8BFEbFhZl4zGY9BkiRJUmcGGCRJkiQNy5HALGCTzFzYWBkRlwCnAfsAr6eMWng5cHBmfqip3DnA\nZcDBwNYTV21JkiRJ3TDAIEmSJGngImIJ4Fjgb83BherHdbl6Xb61Lo9oLpSZl0fEhcBrImKlzOxu\nuJ0kabDmHzF2GYBXbDncekiSphwDDJIkSZIGLjMfAg7tsHmduvxNXW4I3JCZN7YpezGwCfACypwM\nkiRJkqYIAwySJEmShi4iVgLmUCZ7PgS4FpgXEcsDKwPZYdfr6/IZDCjAsGDBgkEcRpPM8zizeD4n\nx6r33DOU43o+ZxbP58zjOZ3e5s6dO9lVeIQlJrsCkiRJkh4T7qBM8nwScBawQWZeCyxft/+9w36N\n1q/lO2yXJEmSNEkcwSBJkiRpImwOzAbWB94LbBER2wI3TXRFplqvL/Wm0evS8zgzeD4n2ezZQzms\n53Nm8P0583hONQwGGCRJkiQNXWaeV2+eEREnAJdTRjO8qK7v1Mo1py7vHl7tJEmSJI2HKZIkSZIk\nTajMXAicA8wFngzcBqzWofgadWmyYEmSJGmKMcAgSZIkaeAiYt2IuCEivt6hyEp1uRRwIbBaRKze\nptxLgXspIx4kSZIkTSEGGCRJkiQNwwJgGWDbiFireUNErA1sQhm5cBXwtbrpfS3lNgVeCJycmYuG\nXmNJkiRJPXEOBkmSJEkDl5kPRMQewInAxRExH/gTsBawO7AssFtmPgj8ICJOBfaOiBWAcympkT4I\n3Ah8ZDIegyRJkqTRGWCQJEmSNBSZeXJEXAfsQwkqrESZrPlS4NDMPLup+I7Ah4G3ADsBdwCnAx/N\nzFsmtOKSJEmSumKAQZIkSdLQZOZFwFZdlLsP+GT9kyRJkjQN9B1giIgnAh8H3gA8GbgTuAA4IDMv\nbyo3D9h/lEMdnpl791sfSZIkSZIkSZI0fH0FGCLiScAvgVWALwFXAM8C9gReGRGbZOavWnabB1zZ\n5nAL+qmLJEmSJEmSJEmaOP2OYPgUsBqwTWae2lgZEZcC3wX2BbZr2ef8zDyvz/uVJEmSJEmSJEmT\naIk+978J+AZwWsv6M4HFwPP6PL4kSZIkSZIkSZqC+hrBkJnzOmxaHpgF3N1p34h4XD3Gff3UoZMF\nC8y4NBN4HmcWz+fEWXTPchNwH/cAsGDBbUO/Lw2f78+ZxfM5/c2dO3eyqyBJkiRJY+p3BEMn767L\nE9ts2y4irgT+CfwzIn4bETsNqR6SJEmSJEmSJGkI+p2D4VEiYkvg45TJn7/UpsiWwKGUSZ2fBXwQ\nOC4iVs3Mzw6qHvb6mt4aPS89jzOD53PizbnzzqEduzFyYc7s2QDMnfu0od2Xhs/358zi+ZQkSZIk\nTaSBBhgi4q3AUcBC4LUt6Y9OAH4BXJSZd9V1Z0bEycAfgf0j4suZObxWMUmSJEmSJEmSNBADS5EU\nER8DjgWuAF6SmTc3b8/MqzPzzKbgQmP9rcC3gWWBTQZVH0mSJEmSJEmSNDwDGcEQEYcBewHfB3bM\nzL/3eIg/1+UKg6iPJEmSJEmSJEkarr4DDHXkwl7A0cCumflgmzJLA1sDD2XmKe0OU5fX91sfSZIk\nSZIkSZI0fH2lSIqIzYFPAKcBu7QLLgBk5v213HER8YhZByNiPWAr4Ebgkn7qI0mSJEmSJEmSJka/\nIxgOqcufAFtHRLsyP6wpk3YDzgQuiIj5wLWUkQt7AA9RRj/c32d9JEmSJEmSJEnSBOg3wPCCupw/\nSpm1gIWZeU5EbATsB+wJrAjcTgk6HJSZv+6zLpIkSZIkSZIkaYL0FWDIzFk9lr+cMheDJEmSJEmS\nJEmaxvqag0GSJEmSJEmSJD02GWCQJEmSJEmSJEk9M8AgSZIkSZIkSZJ6ZoBBkiRJkiRJkiT1zACD\nJEmSJEmSJEnqmQEGSZIkSZIkSZLUMwMMkiRJkiRJkiSpZwYYJEmSJEmSJElSzwwwSJIkSZIkSZKk\nnhlgkCRJkiRJkiRJPTPAIEmSJEmSJEmSemaAQZIkSZIkSZIk9cwAgyRJkiRJkiRJ6pkBBkmSJEmS\nJEmS1DMDDJIkSZIkSZIkqWdLTXYFJEmSJEmSpHGZf0R35Xbbc7j1kKTHKAMMkiRJkoYiIp4IfBx4\nA/Bk4E7gAuCAzLy8qdw8YP9RDnV4Zu49xKpKkiRJGgcDDJIkSZIGLiKeBPwSWAX4EnAF8CxgT+CV\nEbFJZv6qZbd5wJVtDrdgiFWVJEmSNE4GGCRJkiQNw6eA1YBtMvPUxsqIuBT4LrAvsF3LPudn5nkT\nVkNJkiRJfXGSZ0mSJEnDcBPwDeC0lvVnAouB5014jSRJkiQNlCMYJEmSJA1cZs7rsGl5YBZwd6d9\nI+Jx9Rj3Db5mkiRJkgbFAIMkSZKkifTuujyxzbbtImI+sB5ARPwO+FxmHj/ICixY4JQOM4HncWbx\nfE6OVe+5ZyjHncjz2e1juMnX2Lj5/px5PKfT29y5cye7Co9giiRJkiRJEyIitgQ+Tpn8+UttimwJ\nHFmXewErAsdFxD4TVklJkiRJXXMEgyRNYV++9M7JrsKYxlvHd22w0oBrIkmayiLircBRwELgtS3p\nj04AfgFclJl31XVnRsTJwB+B/SPiy5k5kC/GqdbrS71p9Lr0PM4Mns9JNnv2UA47oeezy8fga6x3\nvj9nHs+phsERDJIkSZKGKiI+BhwLXAG8JDNvbt6emVdn5plNwYXG+luBbwPLAptMVH0lSZIkdccR\nDJIkSZKGJiIOo6Q7+j6wY2b+vcdD/LkuVxhoxSRJkiT1zQCDJEmSpKGoIxf2Ao4Gds3MB9uUWRrY\nGngoM09pd5i6vH5oFZUkSZI0LqZIkiRJkjRwEbE58AngNGCXdsEFgMy8v5Y7LiIekRA4ItYDtgJu\nBC4Zbo0lSZIk9coRDJIkSZKG4ZC6/AmwdUS0K/PDmjJpN+BM4IKImA9cSxm5sAfw/9m79zjt7vFe\n/J9nO5Qc0aJIJbSPS9Nuu872VlsoWntXFakd3c6lNmkJVUWFUK226CaVllYq1CFEUYc0PYiUOEZT\nfg51eRSbiEOoiDxxTn5/rHuYTGaemTVzzz0z9/N+v17Pa82s9b3Xuu75zkrua671/X4vzTD64Tub\nHzIAADCGAgMAALAZbjHZnrSPNjdK8unufmtV3TbJU5I8OsmhSb6SoejwrO7+wKZGCgAArIsCAwAA\nMHXdvWtk+3MzrMUAAADsENZgAAAAAAAARlNgAAAAAAAARlNgAAAAAAAARlNgAAAAAAAARlNgAAAA\nAAAARrvyRk9QVddO8tQk90py3SQXJjk7ye9197lL2l49yZOSHJPk8CQXJTkzyfHd/fGNxgIAAADA\nNnfSiWtrd+yjNzcOADZsQyMYquo6Sc5N8mtJXj3ZvijJzyU5u6puvqjtriR/m+QpSd6R5KFJ/jjJ\nUUneXVU/vpFYAAAAAACA2dnoCIZnJjksyX26+3ULO6vqnCRvyDBa4b6T3cckuWuSZ3f3Exa1fWuS\n9yd5dpJ7bzAeAAAAAABgBja6BsP5SV6V5PVL9p+R5LIkN1u074GT7eXGwU2mUXpXkl+sqmtsMB4A\nAAAAAGAGNjSCobtPWOHQwUl2ZVhjYcFtkny2u89bpv17k9w+yS0yrMkAAAAAAABsYxte5HkF/2ey\nfUWSVNXBSa6VpFdo/5nJ9saZUoFhz5490zgNW0w/zhf9Od7Few/Y6hBWdPHevRt6/Z49F0wpEqbB\n/Tlf9OfOt3v37q0OAQAAYFUbnSLpCqrq7kmemuRfkvz5ZPfBk+0lK7xs75J2AAAAAADANjbVEQxV\n9cAkL07y6ST36O5vT/P8Y3jqa2dbePJSP84H/bl+B1144VaHcAULIxcOOvDADZ1n9+4bTCMcNsj9\nOV/0JwAAALM0tREMVXV8kpcm+WCSn+3uzy86vLAWw0p/jTpoSTsAAAAAAGAbm0qBoaqel+QZSd6Y\n5I7d/aXFx7v74iQXJDlshVMcPtmaMBgAAAAAAHaADRcYJiMXHpPkJUnu3d0rrbPwriSHVdUNlzl2\nhyTfSHLuRuMBAAAAAAA234YKDFV1pyRPT/L6JA/r7u/to/nJk+1jl5zjjklumeTUyUgHAAAAAABg\nm9voIs/PmWz/Kcm9q2q5Nqd39yXd/aaqel2S46rqkCRnZpga6fFJzkvy5A3GAgAAAAAAzMhGCwy3\nmGxP2kebGyX59OTr+yV5YpL7J3lAkq8meXOS3+3uL2wwFgAAAAAAYEY2VGDo7l0j2387w2LQz9jI\ndQEAAAAAgK214UWeAQAAAACA/Y8CAwAAAAAAMJoCAwAAAAAAMJoCAwAAAAAAMJoCAwAAAAAAMJoC\nAwAAAAAAMJoCAwAAAAAAMNqVtzoAABjjRedcuK7XPeLW15hyJAAAMGMnnbi2dsc+enPjAIAJIxgA\nAAAAAIDRFBgAAAAAAIDRTJEEAABsiqq6dpKnJrlXkusmuTDJ2Ul+r7vPXdL26kmelOSYJIcnuSjJ\nmUmO7+6PzzJuAABgbYxgAAAApq6qrpPk3CS/luTVk+2LkvxckrOr6uaL2u5K8rdJnpLkHUkemuSP\nkxyV5N1V9eMzDR4AAFgTIxgAAIDN8MwkhyW5T3e/bmFnVZ2T5A0ZRivcd7L7mCR3TfLs7n7CorZv\nTfL+JM9Ocu8ZxQ0AAKyREQwAAMBmOD/Jq5K8fsn+M5JcluRmi/Y9cLI9cXHDyTRK70ryi1V1jU2K\nEwAAWCcjGAAAgKnr7hNWOHRwkl0Z1lhYcJskn+3u85Zp/94kt09yiwxrMgAAANuEAgMAADBL/2ey\nfUWSVNXBSa6VpFdo/5nJ9saZUoFhz5490zgNW0w/zhf9uTbX37t3Te3OX+PPc63nG2u1/pzm+5j2\nz4Qrcn/OH326s+3evXurQ7gcUyQBAAAzUVV3T/LUJP+S5M8nuw+ebC9Z4WV7l7QDAAC2CSMYAACA\nTVdVD0zy4iSfTnKP7v72VsWy3Z76YpyFpy7143zQnyMdeOCamq3557nG84216vWn+T6m/TPh+9yf\n80efshmMYAAAADZVVR2f5KVJPpjkZ7v784sOL6zFsNJfiA5a0g4AANgmFBgAAIBNU1XPS/KMJG9M\ncsfu/tLi4919cZILkhy2wikOn2xNFgwAANuMAgMAALApJiMXHpPkJUnu3d0rrbPwriSHVdUNlzl2\nhyTfSHLu5kQJAACslwIDAAAwdVV1pyRPT/L6JA/r7u/to/nJk+1jl5zjjklumeTUyUgHAABgG7HI\nMwAAsBmeM9n+U5J7V1qqCLUAACAASURBVNVybU7v7ku6+01V9bokx1XVIUnOzDA10uOTnJfkybMI\nGAAAGEeBAQAA2Ay3mGxP2kebGyX59OTr+yV5YpL7J3lAkq8meXOS3+3uL2xSjAAAwAYoMACwJV50\nzoVbHQIAm6i7d41s/+0Mi0E/Y3MiAgAAps0aDAAAAAAAwGgKDAAAAAAAwGgKDAAAAAAAwGjWYAAA\nAABg+znpxK2OAIBVGMEAAAAAAACMpsAAAAAAAACMpsAAAAAAAACMpsAAAAAAAACMpsAAAAAAAACM\npsAAAAAAAACMpsAAAAAAAACMpsAAAAAAAACMduVpnaiqrprkmUken+Tt3X3UkuMnJHnaPk7x/O4+\nblrxAAAAAAAAm2cqBYaqqiSvTHKTJLtWaX5Cko8ss3/PNGIBAAAAAAA234YLDFV1zSTnZigQ3CrJ\nx1Z5yT9391kbvS4AAAAAALB1prEGw1WTvCzJ7bq7p3A+AAAAAABgm9vwCIbu/mKSR4593WTNhnT3\ntzcaAwAAAAAAMFtTW+R5hPtW1UlJjkySqvpwkj/u7r+e5kX27LGkwzzQj/NFf4538d4DtjqEFV28\nd+9WhzDKnj0XbHUI25r7c77oz51v9+7dWx0CAADAqqYxRdJYd0/ywsn2MUkOTfKyqvqdLYgFAAAA\nAABYh1mOYHh5kvckeXd3f22y74yqOjXDwtBPq6oXdfeF07iYp752toUnL/XjfNCf63fQhVP5T+JU\nLYxcOOjAA7c4knF2777BVoewLbk/54v+BAAAYJZmVmDo7k8k+cQy+79UVa9N8vAkt0/yllnFBAAA\nAAAArM9WTJG0nC9OtodsaRQAAAAAAMCazGQEQ1VdJcm9k1za3act12Sy/cws4gEAAAAAADZmJiMY\nuvs7SZ6eYTHny00KXFVHJvnlJOcled8s4gEAAAAAADZmwyMYJgWCI5fsvnZVHb3o+9OTHJvkjCRn\nV9VJST6VYeTCbya5NMnDJ4UIAAAAAABgm5vGFEn3TfK0JfuOTLJ4KqQbdfdbq+q2SZ6S5NFJDk3y\nlQxFh2d19wemEAsAAAAAADADGy4wdPcJSU5YY9tzM6zFAAAAAAAA7GAzWYMBAAAAAACYLwoMAAAA\nAADAaAoMAAAAAADAaAoMAAAAAADAaBte5BkAAGBfquqqSZ6Z5PFJ3t7dRy05fkKSp+3jFM/v7uM2\nLUAAAGBdFBgAAIBNU1WV5JVJbpJk1yrNT0jykWX275lyWAAAwBQoMAAAAJuiqq6Z5NwMBYJbJfnY\nKi/55+4+a7PjAgAApsMaDAAAwGa5apKXJbldd/dWBwMAAEyXEQwAAMCm6O4vJnnk2NdN1mxId397\n6kEl2bPHjEvzQD/OF/25Ntffu3dN7c5f489zrecba7X+3Kzr7stafyZckftz/ujTnW337t1bHcLl\nGMEAAABsF/etqo8k+VaSb1XVh6rqAVsdFAAAsDwjGAAAgO3i7kn+JMOaDTdJ8vgkL6uq63f3H03r\nItvtqS/GWXjqUj/OB/050oEHrqnZmn+eazzfWKtef5Ouuy9+x8Zzf84ffcpmUGAAAAC22suTvCfJ\nu7v7a5N9Z1TVqRkWhn5aVb2ouy/csggBAIArUGAAAAC2VHd/Isknltn/pap6bZKHJ7l9krfMOjYA\nAGBl1mAAAAC2sy9OtodsaRQAAMAVGMEAAABsmaq6SpJ7J7m0u09brslk+5nZRQUAAKyFEQwAAMCW\n6e7vJHl6hsWcL7fiYFUdmeSXk5yX5H1bEB4AALAPRjAAAACbYlIgOHLJ7mtX1dGLvj89ybFJzkhy\ndlWdlORTGUYu/GaSS5M8fFKIAAAAthEFBgAAYLPcN8nTluw7MsniqZBu1N1vrarbJnlKkkcnOTTJ\nVzIUHZ7V3R+YRbAAAMA4CgwAAMCm6O4TkpywxrbnZliLAQAA2CGswQAAAAAAAIymwAAAAAAAAIym\nwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAA\nAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAAAIymwAAAAAAA\nAIymwAAAAAAAAIymwAAAAAAAAIx25WmdqKqumuSZSR6f5O3dfdQyba6e5ElJjklyeJKLkpyZ5Pju\n/vi0YgEAAAAAADbXVEYwVFUleXeSRybZtUKbXUn+NslTkrwjyUOT/HGSo5K8u6p+fBqxAAAAAAAA\nm2/DIxiq6ppJzk2yJ8mtknxshabHJLlrkmd39xMWvf6tSd6f5NlJ7r3ReAAAAAAAgM03jSmSrprk\nZUke293fHAYzLOuBk+2Ji3d297lV9a4kv1hV1+juC6cQEwAAAMDOcNKJq7fZAa7/+tcOXxx44NYG\nAsDMbLjA0N1fzDA10mpuk+Sz3X3eMsfem+T2SW6RYU0GAAAAAABgG5vaIs/7UlUHJ7lWkl6hyWcm\n2xtnSgWGPXv2TOM0bDH9OF/053gX7z1gq0NY0cV79251CKPs2XPBVoewrbk/54v+3Pl279691SEA\nAACsaiqLPK/BwZPtJSsc37ukHQAAAAAAsI3NZATDVvDU18628OSlfpwP+nP9Drpw+y1LszBy4aAd\nNq/q7t032OoQtiX353zRnwAAAMzSrEYwXDTZrvTXqIOWtAMAAAAAALaxmRQYuvviJBckOWyFJodP\ntiYMBgAAAACAHWBWIxiS5F1JDquqGy5z7A5JvpHk3BnGAwAAAAAArNMsCwwnT7aPXbyzqu6Y5JZJ\nTp2MdAAAAAAAALa5DS/yXFVHJjlyye5rV9XRi74/vbvfVFWvS3JcVR2S5MwMUyM9Psl5SZ680VgA\nAAAAAIDZ2HCBIcl9kzxtyb4jk5y26PsbJfl0kvsleWKS+yd5QJKvJnlzkt/t7i9MIRYAAGCbqaqr\nJnlmhoeL3t7dRy3T5upJnpTkmAwPIl2U4aGk47v747OLFgAAWKsNFxi6+4QkJ6yx7beTPGPyDwAA\nmHNVVUlemeQmSXat0GZXkr9NcpckL0ny9CTXz1CQeHdV3aa7/302EQMAAGs1jREMAAAAV1BV10xy\nbpI9SW6V5GMrND0myV2TPLu7n7Do9W9N8v4kz05y782NFgAAGGuWizwDAAD7l6smeVmS23V376Pd\nAyfbExfv7O5zk7wryS9W1TU2J0QAAGC9jGAAAAA2RXd/Mckj19D0Nkk+293nLXPsvUlun+QWGdZk\nAAAAtgkFBgAAYMtU1cFJrpVkpREOn5lsb5wpFRj27NkzjdOwxfTjfNnf+/P6e/dO9Xznr/HnOe3r\nLti7SefdiLX+TLii/f3+nEf6dGfbvXv3VodwOaZIAgAAttLBk+0lKxzfu6QdAACwTRjBAAAA7Fe2\n21NfjLPw1KV+nA/6c+LAA6d6ujX/PKd83YWRCwdO+bzTsN//jq2D+3P+6FM2gxEMAADAVrposl3p\nr1EHLWkHAABsEwoMAADAlunui5NckOSwFZocPtmaLBgAALYZBQYAAGCrvSvJYVV1w2WO3SHJN5Kc\nO9uQAACA1SgwAAAAW+3kyfaxi3dW1R2T3DLJqZORDgAAwDZikWcAAGBTVNWRSY5csvvaVXX0ou9P\n7+43VdXrkhxXVYckOTPD1EiPT3JekifPJGAAAGAUBQYAAGCz3DfJ05bsOzLJaYu+v1GSTye5X5In\nJrl/kgck+WqSNyf53e7+wqZHCgAAjKbAAAAAbIruPiHJCWts++0kz5j8AwAAdgBrMAAAAAAAAKMp\nMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAA\nAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAA\nAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKMpMAAAAAAAAKNdeasDAAAAAGCKTjpxqyPYuab9\nszv20dM9H8A2YwQDAAAAAAAwmgIDAAAAAAAwmgIDAAAAAAAwmgIDAAAAAAAwmgIDAAAAAAAw2pVn\nebGqOiXJg/bR5LHd/bwZhQMAAAAAAKzTTAsMizwqyQXL7P/ArAMBAAAAAADG26oCw99196e36NoA\nAAAAAMAGWYMBAAAAAAAYbUsLDFV1taraqlEUAAAAAADAOm3VH/ePraqjkxyR5NKqOifJM7r79Gld\nYM+ePdM6FVtIP86X/bk/3/i5A7Y6hKm7eO/erQ5hlOeetb54f+kGl0w5ku1pf74/55H+3Pl27969\n1SEAAACsaqsKDD+f5A+SfC7JzZL8dpI3V9WvdvepWxQTAACwRarqlCQP2keTx3b382YUDgAAsAaz\nLjA8N8mrkpzV3d+a7Du9qt6Y5ANJnltVr+nuSzd6IU997WwLT17qx/mgP5ODLrxwq0OYmoWRCwcd\neOAWRzIbu3ffYKtD2FTuz/miP5kTj0pywTL7PzDrQAAAgH2baYGhuz+U5EPL7P9oVZ2V5K5JfjLJ\nR2YZFwAAsG38XXd/equDAAAAVrelizwv8cXJ9pAtjQIAAAAAAFjVzEYwVNUhSe6R5CvdfcZyTSbb\nz84qJgAAYHuqqqsl+W53f3erYwEAAJY3yymSvp3kpCTfrKqf7u4vLxyoqrskuXWS93X3eTOMCQAA\n2F6OraqjkxyR5NKqOifJM7r79GldYGG9EnY2/Thf9vf+vP5knbN5sXcbvp/z1/g7Nu2+WOt1t7P9\n/f6cR/p0Z9tua+7NrMDQ3d+sqsckOSXJ+6rqhUm+kOTmSR6Z5GtJHjGreAAAgG3p55P8QZLPJblZ\nkt9O8uaq+tXuPnVLIwMAAC5n1os8v7SqPpPkSUmenOTADEWGVyT5/e7+5CzjAQAAto3nJnlVkrO6\n+1uTfadX1RuTfCDJc6vqNd196UYvtN2e+mKchacu9eN80J8TBx641RFMxcLIhQO34ftZ8+/YlGPf\nyb/b7s/5o0/ZDDMtMCRJd78tydtmfV0AAGD76u4PJfnQMvs/WlVnJblrkp9M8pEZhwYAAKxg5gUG\nAACAkb442R6ypVEAjHXSiVsdAQu2qi+mfd1jHz3d8wFskAIDAACwparqkCT3SPKV7j5juSaT7Wdn\nFxUAALCa/7TVAQAAAPu9byc5KckpVfUjiw9U1V2S3DrJ+7r7vK0IDgAAWJ4RDAAAwJbq7m9W1WOS\nnJLkfVX1wiRfSHLzJI9M8rUkj9i6CAEAgOUYwQAAAGy57n5pkjsn+USSJyc5OcnRSV6R5Bbd/YEt\nDA8AAFiGEQwAAMC20N1vS/K2rY4DAABYGyMYAAAAAACA0RQYAAAAAACA0UyRBOx4LzrnwtGvecSt\nr7EJkTCP1vP7tV5+LwEAAICdxAgGAAAAAABgNAUGAAAAAABgNAUGAAAAAABgNAUGAAAAAABgNAUG\nAAAAAABgNAUGAAAAAABgNAUGAAAAAABgNAUGAAAAAABgNAUGAAAAAABgNAUGAAAAAABgNAUGAAAA\nAABgNAUGAAAAAABgtCtvdQAAAAAA28JJJ251BDAdU/hdvv7evcMXBx6YHPvoDZ8PmE9GMAAAAAAA\nAKMpMAAAAAAAAKMpMAAAAAAAAKNZgwE26EXnXLiu1z3i1teYciSMsd5+AwAAAAAGRjAAAAAAAACj\nKTAAAAAAAACjKTAAAAAAAACjKTAAAAAAAACjKTAAAAAAAACjKTAAAAAAAACjKTAAAAAAAACjKTAA\nAAAAAACjKTAAAAAAAACjKTAAAAAAAACjKTAAAAAAAACjXXnWF6yqayV5WpJfTnK9JF9OcnqS47v7\n87OOBwAA2B7kCgAAsLPMdARDVV09yVlJHpnkb5I8OMmLkvyvJO+sqmvOMh4AAGB7kCsAAMDOM+sR\nDMcl+c9Jju3uP1vYWVUfTPL6JMcnedyMYwIAALaeXAEAAHaYXZdddtnMLlZV/5bkx5L8cHd/a9H+\nXUk+k+SHkly3u9cc1Ne+9rXZvQEAANhChx566K6tjmGzyBUAAGD9tipXmNkUSVV1SJKbJjl3ccKQ\nJJMk4X1Jrp3kRrOKCQAA2HpyBQAA2JlmuQbD4ZPteSsc/8xke+MZxAIAAGwfcgUAANiBZllgOHiy\nvWSF43uXtAMAAPYPcgUAANiBZllgAAAAAAAA5sQsCwwXTbYHrnD8oCXtAACA/YNcAQAAdqArz/Ba\nn0pyWZLDVji+MO/qnjEn3arVsQEAgKmRKwAAwA6067LLLpvZxarqA0l2J/nh7v7mov1XSnJ+km91\n9w1nFhAAALAtyBUAAGDnmfUaDCcnOSDJI5bsv3+S6yR58YzjAQAAtge5AgAA7DCzHsFwlSTvSHLL\nJH+a5P1JfirJ4zIMd75dd18ys4AAAIBtQa4AAAA7z0wLDElSVYckOSHJfZJcL8mXkrw+ydO6+z9m\nGgwAALBtyBUAAGBnmXmBAQAAAAAA2PlmvQYDAAAAAAAwBxQYAAAAAACA0RQYAAAAAACA0RQYAAAA\nAACA0RQYAAAAAACA0RQYAAAAAACA0a681QHsS1X9tyTHJ7ldkqsn+XiSv0zygu6+bMR5HpDkBUkO\n6e5dyxw/Ksnb9nGKD3b3z4wInRXMqk8XtXtQkt9IcmSSS5P8S5I/6O5/WPeb4Ps22p9V9Z+SHJfk\nIUl2J/lmkncmOaG7z1nU7qi4R6emqq6V5GlJfjnJ9ZJ8OcnpSY7v7s+v4fVr7veqOjLJM5LcMckh\nSf5fkpcn+cPu/va03tP+blZ9WlWfTnL4Pk518+7+wPreBQs22p+Tc/xEklcmuXWSh3T3KSu0c49u\nsln15/54f8oV5o9cYb7IFXYmucL8kSvMF7nCfJmXXGHbFhiq6s5J/i7JZ5OckOQ/ktwzyYlJfjzD\nB43VznFokj9PckySb6zhsqclec0y+y9cU9Ds06z7tKqekuT3MnzY/M0Mv++PSPJ3VXXf7v6b9b4X\nptOfSf4iya8leV2SZyc5NMljkry9qu7c3e9e0t49ukFVdfUkZyW5aYbE+/0ZErbHJ7lzVd2yu7+6\nj9evud+r6qeSvCvDvfqcJOclOWryultk+B8oGzTLPp24IMmjVjjdp9b7PhhstD8n53hIhv5b7Vru\n0U02y/6c2G/uT7nC/JErzBe5ws4kV5g/coX5IleYL/OUK2zbAkOSP8vwhMIdFlVs/rqq3pDk0VX1\nku7+4Crn+LskN0lyjyS/naHiti8f7e7XbiRo9mlmfVpVN0zy1CTvSXLX7v7eZP+rknw0yUlV9cbu\n/s5G39R+bEP9WVX/NUPCcFp333fR/tdleCLipAz/01rMPbpxxyX5z0mO7e4/W9hZVR9M8voMT6Y8\nbh+vH9Pvf5LkoCQ/290fmux7RVXtTfKYqvql7n7j1N7Z/muWfZokl7gPN9WG+rOqfj3Ji5L8aZIP\nT75eiXt0882yP5P96/6UK8wfucJ8kSvsTHKF+SNXmC9yhfkyN7nCtlyDoapum6SSvGaZ4SAvSLIr\nyf3XcKoPJ/mZ7n7LlENkpC3o0/sluUqGIXvfW9jZ3V9P8tIk101ytzWGzxJT6s8HTrbPX7yzuz+X\n4T+kN59UzJmuBybZm+TkJfv/NsMTCfevqmWnEhjT71V1vSR3TXLmog8ji9smyQPW+ya4nJn0KTOz\n7v5c5F7d/egkKw5bdo/OzEz6c38jV5g/coX5IlfY0eQK80euMF/kCvNlbnKFbVlgSHKbyXbpkMck\nee9ke9vVTtLdv97d5429eFVdaTJMhemZdZ9O5XqsaBo/39sk+V6S9409h3t0farqkAxD787t7m8t\nPjaZO/N9Sa6d5EYrnGJMv98qwwfOK7Tt7k9kGFrrHtygGffpctc/YA0feFijKfRnuvsvuvsNa7ic\ne3STzbg/l7v+PN+fcoX5I1eYL3KFHUiuMH/kCvNFrjBf5i1X2K4FhiMm2yt8OJw8VXJhkhtvwnVv\nXlVvzTD865Kq+lxV/V5V/dAmXGt/c8RkO6s+XfF6ST4z2W7G79D+4ojJdiP9eUSSL60w9HylPnKP\nbszCgj4rJd6r3RtHrPT6Zfp9xbaLrvVjVbWdp+rbCWbZpwuuXlUnVtVXMzxtcUlVvaGqbrrmqFnJ\nRvtzjCPWcC336MbMsj8X7C/35xGTrVxhfhwx2coV5sMRk61cYWeRK8wfucJ8kSvMl7nKFWb2i1BV\naxk2dX53n5nk4Mn3l6zQbu+iNtN05wwLYzwnyY8meWiSpyS5ZZL/sQnX29G2eZ8enOR7vfyq9nsX\ntWFiC/rz4CQrLVazUh+5RzdmLf22uN16Xn/wiLYL7fa5aBH7NMs+XXCdDB84H5FhGOadkhyb5Kiq\nuk13f3yVmFnZRvtzs67lHl2fWfbngh17f27zz5ULfA4ZYZv3qVxhJLnCfkGuMH/kCvNFrjBf5ipX\nmGWl6a/X0Obvk5y52YEs4/9Lcvck3d3fXzW7ql6aYTXvu1fVz3f3329BbNvZdu5TxtvO/ekehe3h\nQRn+IHP2on1vqKoPJfnLJE/PMK81MHs7/f70OWT+bOc+Zbzt3J/uUdgedvpnEZhnm3p/zrLAcM01\ntFkY/njRZHvgCu0OWtRmw7r7P5Kcscz+S6vqhUnukOQuGT4w8QPbtk8n57pSVf3Q0rnMJtdaHBOD\nWffnRau8/vvXcY9OzVr6bXG79bz+ohFtk+TrKxxnbWbZp+nuf16h3V8l+dMM9yHrt9H+3IxruUfX\nb5b9OQ/357b9XOlzyLpt2z6NXGE95ArzT64wf+QK80WuMF/mKleYWYGhuy8c0fyTk+1hSw9U1aFJ\nDk1y7jTiWoMvTraHzOh6O8Y279NPZhgKe1iSf19ybGGesz1TvN6OtwX9+ckkt6yqqy4zPH1MH7lH\n1+5TSS7LMv02sdrPfUy/r9h20bU+1d3f3VfArGqWfbqiSQL/5QxDLlm/jfbnGO7RzTfL/lzRTrk/\nt/nnyn3xOWQF27xP5QojyRX2C3KF+SNXmC9yhfkyV7nCdl3k+V2T7e2XOXaHyfbsZY6tS1XdpaqO\nrarlfh412X5mmWOs3Uz7dAuut7+Zxs/3XRn+G3S7fZzjnYl7dFq6e2+GIeS3qKqrLT5WVVdK8t+S\nfLa7V/pZjun39yX57nJtq+qnk1wj7sENm2WfVtWNq+rXJv13OVV1UJIbxH24IVPozzHco5tslv25\nH96fcoX5I1eYL3KFHUiuMH/kCvNFrjBf5i1X2JYFhu7+QIYq6K9U1fcrOVW1K8ljMwy9fOmi/YdW\n1U2r6lrrvOSvJHlBkl9dvLOqDkjymAwVpTes89xkS/r0VUm+keQ3F69qX1U/nGHesX/PMB8n6zCl\n/nxJhnvrsYvPXVW7k9wjydu6e+GJMvfo9Jyc5IAMi/osdv8MFesXL+yY9NmNFr4f0+/d/eUkb8yw\nWNDNl1zrtybbF4dpmEmfJrnu5Fz/d3J8sScm2ZXkddN4Q/u5dffnGO7RmZlJf2Y/uz/lCvNHrjBf\n5Ao7mlxh/sgV5otcYb7MTa4wyzUYxnpUkrcleXtVPS/JhUmOSXLnJMcv+jCRJPfK8AHkSUn+MEmq\n6tpJ7riozbUn+49etO+c7v5/GRay+J9JTq6q2yU5J0NHPizJTZI8vbs/MvV3uP+ZWZ929xer6neS\nnJjkn2pY4OtqSX4jw/DY/9Xdl27Ce9yfbKg/u/uDVfV/kzyuql6f4T9mP5LkcZkkfIte7x6dnhcm\n+d9JnlNVhyd5f5KfyvBz/1CS5yxq+29JOslNF+0b0++/neS/J/n7qnpOkvOT/MLk+id399un//b2\nSzPp0+5+d1WdkuTBSc6qqtck+VaSn09y9ORav785b3G/sqH+rKq75wfzeN5qYVtVF0++vmDR/Jvu\n0c03k/7cT+9PucL8kSvMF7nCziRXmD9yhfkiV5gvc5MrbMsRDEnS3e/N8Iv8sSTPSPKiJD+a5KHd\n/cw1nOKnkpy26N+Rk/2L991pcq3zk9w6yV8kuWeGqs7vJvlcknt39wlTeVP7uVn26eR6f5rhKZYD\nkpyU5I8y9OmduvvMKbyl/doU+jNJHp8hOfiJDKvWH58hIfhvi5MA9+j0dPd3ktwtwyI+90lySoYn\n9V6c5KjuvmSV16+537v7kxmG9Z2V5AkZqvO3yNDvSyv0rNMs+zRDov6wJAcneXaGpwV/Oskzk9y+\nuy2IuUEb7c8kf54f/D/x2Mm+Yxfte/qia7lHN9ks+zP72f0pV5g/coX5IlfYmeQK80euMF/kCvNl\nnnKFXZdddtlGXg8AAAAAAOyHtu0IBgAAAAAAYPtSYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZT\nYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAA\nAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAA\nAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZT\nYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAAAAAAAEZTYAAA\nAAAAAEZTYAAAAAAAAEa78lYHALATVNWxSV4w+fZZ3f3kVdpftujbm3f3B1Zpf7Ukn09yjcmuG3X3\npyfHjkrythHhPr27T1jmtX/R3Y9YJY5PJzl88fUBAIArqqoTkjxtHS+93GftqrpekkcluUuSmyQ5\nJMl3k3w5yYeS/E2Sl3X3d5Zc/8FJXpKku/um64hj4Tyjch0AWEyBAWBtHr7o6wdV1fHd/b01vvah\nSR69Sptfzg+KC0udl+T5q7z+OknuN/n631do87CqOrm737fKubZcVT0iyQuj0AEAwPb1niz/Of2B\nSa6Z5B+TfHSZzeygDAAAIABJREFU4xctfFFVv5DktCQHJfl/Sf4hyVeS/FCSmyW5++Tfw6vqbt19\n0RVPt2EbyXU2XVU9O8lju9vfsAC2If9xBlhFVd0myX9J8vEkX09yyyT/M8kb1/DyTyb51ap6fHd/\nex/tHpTkm0m+luS6iw909yeSHLeP+HYlOX3y7Zu7+6+XafbVDEnOn1XVbbr70jXEvpVuvdUBAADA\nvnT3GUnOWLp/UjS4ZpJXdvcpK72+qn4kyaszFBeekOQ53X3Zkja3SvKWJLdN8vQkj51W/JPzbyTX\nmRW5AcA2Zg0GgNUtPNFz2uRfkjxsja99S5IfTnLPlRpU1fWT3DXJP2coMox1XJJfSPKFDKMllvOm\nDE9Y3TLJ/1nHNWZNEgEAwLy7R4bpkP69u5+9tLiQJN39/iSPyTBl0m2r6kpTjmEjuc6mq6r/lCGH\nAWCbMoIBYB+q6uAkx0y+fUWGp3r+IMn/qKrrdffnVznFm5L8ZoY//J+2Qpv7J7lSktcnedLI+H4m\nyR8muSzJg7v7ghWaXpZhXtdzkvx+Vb22u7805lorXP+UDKMvfjvD8O/nJrlxkp/r7rMXtbtXkl/P\nUDg4JMN8su9M8ifd/e5F7U7I5eex/VRVJclDuvuUqjoryR0Xvl8mniscXzQ37VsyPPH14iS3SvL7\n3f0HS47fM8PTYw9KcsMk38lQmDl+6dRSVXXdJL+TYcj64Ul2ZVhH451Jnj9JBgEAYCXXmWy/sEq7\n1yR53SojokebQq6z9HxnJ7l9kntleMjqqUmul+TwhXNNCgYPyTCN1H9JcvUkX0zy1iR/2N296Hwv\nT/K/F32/UIC5Q3efXVXnJbnBwvfLxHOF41X1zCS/m2Fqq1cn+bMkP5nkQd396iXHn5IhN7nP5Dxf\nT3JWkidORpkvvtZPJHlikjtN2n4nQ27wj0me1917xvwsAXYSIxgA9u1+GYYsv7e7/627z8swL+qV\nMnwwXs3bMvwx/W5VdYMV2jwoyfeSvGFMYFV1QJJXJblqhg+tf7+v9t39r0n+PMNaD3885lprcL0k\npyb5RJKTk/zHojhfkOR1Se6c5L1JXpphnYijk5xdVYufkFo6j+1LJt8vN3ftepya5IAkpyT5t2WO\nvzLJ4yZxvmbyPu6W5MyqOmKh0WQ4+zkZChbfy5CcvDTJ+RmSoLOr6uenFDMAAPPpU5Ptbavqdis1\n6u5Lp11cmNhorrOSW2VYNPo9Sf4qybeSpKqunGHqpRcnuXmSM5O8PEO+9OAkH6yquy06zxkZPrcn\nwwNTz5/8+9wGYltwQIYc5T8y5C9Lz3mVJP+U5L4Zih+vTXJphmLDWZPiTCbv6yeTvD/JryW5YPKe\nTk1ycYaHvN5TVTebQswA25IRDAD7tjBk+ORF+07OMCXRQ6vqWcsNZV7Q3d+tqldlGMXwoAxPBH1f\nVd06yZFJzujuL06e1l+r5yW5aZIPZHhaZi2ekuRXkjywql683JM+6/TgJE/t7uct3llVxyQ5NsMH\n7aO6+6OLjt0jw4f6k6rqbd397wvz2FbVYybNnjHFRZ7/a4ZpqO6zQp/dMUkn2d3dF05iPCDJuzMs\nsPeQ/GB0xcOS/FiSU7v7fotPUlX3yZCA/EGSfRZ9AADYr52e4Sn36yV5e1W9MsMDL+/o7m/M4Pob\nynX24ZFJfqW737xk/xMzrO/wsSR3XjxCoqp+I8mfJnl5Vf1Ed1/U3S+vqvdkyDUu7e4V16Vbh/sk\neUl3P36F4w/M8LDYHbt7oUBy7SQfzjBC4ZeTLKx991tJDk3yzO4+fvFJqup3Mow4f0qGYgXA3DGC\nAWAFk+mHbpXkkgxPoCx4Y4anbH48wxDY1bx0sn3wMscW9r1sZGz3yZAQXJLkV9f6RFN3fy3DdEa7\nMiz4PK1C81UzjI5Y6gmT7ZMXFxcmsbwpw/u+an6Q3GymayV57j6SpIOSHLtQXEiS7r4kQ7EgGYoM\nC2402b5r6Um6+2+S/GyGERoAALCs7r44yS9leHr+KhkeSPr7JF+rqndV1R9V1Z2m+Jn9+6aY6yzn\nS0uLC5P3sLBA9SOXTr/U3S9I8vYk185s/hB/zSTP2cfxH0ry6wvFhSSZTEe7sKj3mnKDJH+S5A4Z\n1s0DmEsKDAAr+/XJ9rTu/vrCzskf8xeeVll1AbTu/pckH0myu6rusLC/qq6aYc7Tr2fE9EhVdViS\nv5x8+7juXm6qn33F89dJ3pHkP2cYWTEN71784TtJqupaSX5m8u3pK7zuLZPtepOXMb6VYTTCvo6/\nb5n950+2hy7atzA37G9X1RVi7+53dvenlu4HAIDFJut23STDH6D/ZbL7KhlG3z4hwzRCn6yqX1/+\nDOs2lVxnBW9bZt/PZHjgZ2+GUcXLmWVu8LHu3tfaF59Y4fi+coNnTQo3PzjQ/Z3uPru7zw/AnDJF\nEsAyJlPjLCwodvIyTV6c4Qmce1XVNbv7q6uc8qUZ1j14aIY/7ifD00rXSnLKWodATxZFe3mGJ27+\ntrtftJbXLeNRSf41ydOr6tVT+MC73ILRN8wwUiJJnlRV31umzcLCdrs3eP21+HJ3X7qP459bYXTD\nQtyLi/J/nuQXMyQ/Z1bVZzPMzfoPSU6fjBQBAIBVTUbNPj/J8yfT8Pz3DE+93zHDH+Z/LMmLqqq6\n+7c2er1NyHWWWi43OGKyvSzJ/11hatibTLazyA2Wi3Gxz66wf7nc4GlJjsqwaPW/VtXHM6zf8A9J\n/mFG010BbBkFBoDl/a8kh0y+/r0VPgB/N8nVkjwgyYmrnO/lSZ6V5Feq6jcnw6EfNDk2ZnqkJ2VI\nNM7PsIjYunT3h6vqxAwLGj83wwJvG3HxMvsOWvT1b6zy+kNWOT4Ny8W42HfWeqLu/kZV/UKGKa4e\nnuQWk68fnORbVXVyksdLJgAAGGMyDc/fTP6lqnYnOSnJXZMcV1WndPeHNniZaec6S+0rNzgoyWOW\nOb7YTssNLqiq22RYe+5BSX4yQ7HkUUm+XlXPTfJ7qzzsBLBjKTAALG/xmgB3XKXtr2WVD93d/fmq\n+scMC6YdXVWnT77+bJKz1hJQVd0uyQkZnvp5YHd/ZS2v24cTMkzRdExV/WV3n7nB8y218KH9siRX\nXzqF0ia5ygyukeT7w8f/IslfVNWPZEj67pXknhmSiYXF3wAAYF26e09V/VKSTye5bpK7JNlogWGq\nuc4aLeQGn+3uG07hfGsxy9zg4iR/lOSPJlPa3i3DWhJ3zZB3HZxkpQWlAXY0azAALFFVP51hztPv\nJvnR7t613L8M825ekuRmkydWVrOw2PM9k9wnQ5H3FftYdHhxTIckecXkNc/p7reOf2eXN5lrdWGI\n9UlVNe0P4J/MUFzYlWFY9zQsPPVzpRWOHzGl64zS3V/u7ld1932T3C7D78U9J8kFAABcTlVdpapu\nW1WPmEyDuqLu/maSj02+3dBn9k3MdVbzicn2elNctHrF3GAyDdR1lu6fhe4+r7v/qrt/IcO0uEny\nyNX6GWCn8h83gCtaeKLn77r7iys16u6Lkrx+8u1aFkB7Q5KvJblzhifdkx8soLaaP0ty4yTnJnnK\nGl+zqu4+NcPCcTfND4oN0zr3RUneP/n2vsu1qardVXW3qrraCqfZteT7hQXofnSZc/10kuutJ9Yx\nqurKVfULVbXsFFXd/a9JFhbevsFmxwMAwI50rSTvTPLCJEfvq+HkQaCbTr6d1uiFaec6q/lwkgsy\nPDB17+UaVNUtq+pnRxQgVswNMowc2HRVdWBV3bOqlu3D7n5LhhzwgAzr6AHMHQUGgEUmf+h+wOTb\nl6zhJadMtsdU1YH7ajh58ug1GeYUvUuSf+nuj64hpgdkWIRtb5L7TabmmaZjM8wxenySa0z53H8y\n2f5WVf2XxQcmC9idmuTvkzxkyesWhlAfvmT/QkL1v6vq6ovOda0MCy+vNpfqNFyaYeG7F1fVfZYe\nrKojk/x0km/lB0+aAQDA903+uP/CybcnV9UvLteuqg7NkJdcN8lHkvzjeq+5mbnOarr7u/nBVEu/\nX1WXG+FcVT+R5HVJ3pHkTosOLRQRrrTM6OCF3OAhVfX9UQxVdUSSP1702s30Q0leneRlkyltL6eq\nfj7DaJDPJvmPGcQDMHPWYAC4vKMzPFny5SRvXkP7MzN8WPyxDIul/dUq7V+a4amhXVnD6IWqukaG\nRd2SYcqhR62wCNvldPdxqzb6QduPVdWfJPmdtb5mxLlPraqfzVDEeF9V/UOGn9ePZpiX9MAkZ2T4\ng/1i709yVJLTquqcJO/t7qcnOTnJcRkWTvtwVb09wzRM/yNDwvXaXLFYMe33dGlVPTLJaUleW1Xv\nz5DcfDPJDZP8XIZE47ju/tpmxgIAwI72uP+fvbuPsq0q70T9OyOEqzl8SFrUdLgBhMNrEzo3oK0O\n0YiJDmPUdEIIAxMxDhNuYuyIXo3xG0Ts2KIJMdLRRjpINNpo42eQ3BsIGpD4hXg5pn09RyHINRoS\nRU1hRIX7x94nKYqqU7XO3rv2qeJ5xmDMU2vNNddbNasYteu355oZrWR4SpL3V9XnMvo9+GsZPbP/\nkIwev/kDGa0AePL4D/VL3a+qzl3lXudk9If7Wb7WWc2rM/p8npjkb6rqsoxWNRya0YqD70/ypu7+\nlxClu79SVbtquLqqPpPkku5+c5I3JPnFJI9P8qmq+miSeyd5cka/qx+Z1feYmEh3f7WqnpfkD8f1\nXZXkc0m+l2Rbkp/I6HFUz17Lo3EBNiIrGADuateS4bd193dW69zddyS5aPzhqkuHu/vqjJ4/+t0k\nb19DPffJ6MVFkvz7JKev8b+hXpnRi4ep6+7/lNEjoa7I6AXF/5nRi5tPZvT1ftIyX+v/lOTjGX3u\nD834+ardfcP42v8nyX0zejH2qIwCiifmX5/DOlPd/f4kj8joRdYPZvTC5rQkxya5NMlPdfcfrEct\nAABsTN19e3f/UkZ/hD4/ye0Z/XH8NzJ649MDM1rt+9Qkx3b3jSsMdVBWf31wcGb8WmcN4303o/3o\nfjWjR78+dlzTQ5NcnuQXuvs3lrn0aRk9gvSHkhyX0errdPdVSZ6U5JokRyT5pSQ/ntGmyqctM85M\ndPd5GQUk/zOjPeF+OaM3PT0wo9d8D+3u96xXPQDrbcuddwpQAQAAAACAYaxgAAAAAAAABhMwAAAA\nAAAAgwkYAAAAAACAwQQMAAAAAADAYAIGAAAAAABgMAEDAAAAAAAwmIABAAAAAAAYbJ9JB6iqg5O8\nPMnPJ7l/kluTXJXkld197aJ+ZyY5YzdD/UF3P2fo/b/+9a/fOfQaAADYiA488MAt865hI/FaAQCA\ne4p5vVaYKGCoqvsl+WSSf5Pkj5J8OslRSZ6d5PFVdXx3f2rJZWcm+cwyw+2YpBYAAAAAAGD9TLqC\n4ewkhyT5he6+ZNfBqvp4kvckeVGSk5dc86HuvnLC+wIAAAAAAHM06R4MX0ry9iTvXnL8siR3Jvmx\nCccHAAAAAAD2QhOtYOjuM1c4tX+SLUm+sdK1VbXveIzbJ6kBAAAAAABYf5OuYFjJb4zbty1z7uSq\n+kySbyf5dlVdX1WnzqgOAAAAAABgBqYeMFTVE5K8PKPNn/9omS5PSPLGcXt6kgOTXFRVvzPtWti4\nduzYkR077Pu9WZjPzcV8bi7mc3Mxn8A9gf/XbS7mc3Mxn5uL+dx8zCmzMOkmz3dRVU9L8uYkNyZ5\n8pLHH701yV8nuaa7vz4+dllVvSPJZ5OcUVVv6u5bp1kTAAAAAAAwfVNbwVBVL0vyliSfTvLI7v67\nxee7e2d3X7YoXNh1/O+TvCvJvZMcP616AAAAAACA2ZnKCoaqOjejxx29L8lTuvu2gUN8ZdweMI16\nAAAAAACA2Zo4YBivXDg9yR8nOa27v7dMn+9PcmKSO7r7ncsNM25vmrQeAAAAAABg9iZ6RFJVPSbJ\nK5K8O8mvLRcuJEl3f2fc76Kq2rZkjKOT/FySm5N8bJJ6AAAAAACA9THpCobXjtu/SHJiVS3X59Lx\nI5OeleSyJFdV1XlJbsho5cJvJbkjo9UP35mwHgAAAAAAYB1MGjAcN27P202fw5Pc2N2XV9XDkrw0\nybOTHJjkHzMKHX63u6+bsBYAAAAAAGCdTBQwdPeWgf2vzWgvBgAAAAAAYAObeJNnAABgc6qqg5O8\nPMnPJ7l/kluTXJXkleM3Dy3ue+8kL0pySpJDk3wjyRVJXtbdn1vj/Y5OclaSRyc5IMnfJnlrkld3\n9+3T+JwAAIDpmWiTZwAAYHOqqvsluTbJryb5H+P2TUl+KqN91Y5d1HdLkvdm9DjUv0ryjCSvSXJC\nkmuq6og13O9Hk1yT5JEZ7fX2jCQfSnJmkoun9GkBAABTZAUDAACwnLOTHJLkF7r7kl0Hq+rjSd6T\n0WqFk8eHT0nyuCTndPcLFvW9PMknkpyT1R+V+ntJ9kvyyO6+fnzsbVW1kOT0qvrZ7n7f5J8WAAAw\nLVYwAAAAy/lSkrcnefeS45cluTPJjy069rRx+/rFHcePUfpIkidV1X1WulFV/VBGAcUVi8KFXd4w\nbk8dVD0AADBzVjAAAAB3091nrnBq/yRbMtpjYZeHJvlid9+8TP+PJjk+yXEZ7cmwnIeMx7xmmTp2\nVtVXkzxsbZWvbseOHdMaijkyj5uL+dxczOfmYj43H3O6sW3btm3eJdyFFQwAAMAQvzFu35YkVbV/\nkh9Msly4kCQ3jdsH7mbMw8bt7sb436vKG6QAAGAv4hd0AABgTarqCUlenuSTSf5ofHj/cXvbCpct\nLOm3nCFjfG31Sndvb3vXF8PseteledwczOfmYj43F/O5+ZhTZsEKBgAAYFVV9bQk701yY5Ind/ft\n860IAACYNysYAO4htl+8feIxjjn5mClUAsBGU1UvS3JWkk8keWJ3//2i07v2Yti6wuX7Lem3nLWO\n8c1VSgVgTs7feWEWbhstONu68+qpjXvakU+f2lgATJ8VDAAAwIqq6tyMwoX3JXn0knAh3f1PSW5J\ncsgKQxw6bne3m+AXxu3uxrihu7+7pqIBAIB1IWAAAACWNV65cHqSP05yYnevtEfCR5IcUlU/ssy5\nRyX5VpJrd3OrjyX5bpLjl6nhmCT3SXLVgNIBAIB1IGAAAADupqoek+QVSd6d5Ne6+3u76X7BuH3u\nkjEeneTBSd4xXumw6/gRVXXUro+7+x8yWiFxQlUdu2Ts543bN+/RJwIAAMyMPRgAAIDlvHbc/kWS\nE6tquT6Xdvdt3f3+qrokyXOq6oAkV2T0WKPnJ7k5yYuXXHd5kgckudeiY7+d5CeS/HlVvTbJl5L8\ndJJfTnJBd394Op8WAAAwLQIGAABgOceN2/N20+fwJDeO//2UJC9M8tQkpyb5WpIPJHlJd395tZt1\n9xeq6hFJXpXkBUn2T/L5jEKKc/egfgAAYMYEDAAAwN1095aB/W/PaDPos9bQ97AVju9IcvKQ+wIA\nAPNjDwYAAAAAAGAwAQMAAAAAADCYgAEAAAAAABhMwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAAAIMJ\nGAAAAAAAgMEEDAAAAAAAwGACBgAAAAAAYDABAwAAAAAAMJiAAQAAAAAAGEzAAAAAAAAADCZgAAAA\nAAAABttn3gUAAAAA8K/O33nhzMY+7cinz2xsAO55rGAAAAAAAAAGs4IBgHWz/eLtE49xzMnHTKES\nAAAAACZlBQMAAAAAADCYgAEAAAAAABhMwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAAAIMJGAAAAAAA\ngMEEDAAAAAAAwGACBgAAAAAAYDABAwAAAAAAMJiAAQAAAAAAGEzAAAAAAAAADCZgAAAAAAAABhMw\nAAAAAAAAgwkYAAAAAACAwQQMAAAAAADAYAIGAAAAAABgMAEDAAAAAAAw2D7zLgAAANh7VdW+Sc5O\n8vwkH+7uE5acvzHJoasM85juvnI391htjGO7+7pViwUAANaVgAEAAFhWVVWSP01yVJItK3R7ZpKt\nK5z7v5Icm+QLa7jdLUl+c4VzN6zhegAAYJ0JGAAAgLupqoOSXJtkR5KHJPnscv26+4MrXP/gJA9N\n8sruvmkNt7ytu9+1h+UCAABzYA8GAABgOfsmuSjJw7u7h1xYVd+X5L9ltPLg1TOoDQAA2AtYwQAA\nANxNd38lo8cf7YlfT3Jckid297eHXlxVP5DkW9195x7ef7d27Ngxi2FZZ+ZxczGfd7Vw28LMxp7V\n13pxzQsL06vf98b8mYPNx5xubNu2bZt3CXdhBQMAADA1VfW/JXlxkiu7+9IBl967ql5fVV9LspDk\ntqp6T1U9aCaFAgAAE7OCAQAAmKbTkvxwklMHXne/JIdltPrh9iSPSfKsJCdU1UO7+3PTKnBve9cX\nw+x616V53BzM5/K27rx6ZmNvO3I2X+utO6/+l5ULW7dundq4s6qX1fn53HzMKbMgYAAAAKZivPfC\n7yT5f7v7Lwdc+itJvtfdVy069p6quj7J+UlekeQp06sUAACYBgEDAAAwLT+d5JAkvz/kou7+0Aqn\n/nuSP0zy2AnrAgAAZsAeDAAAwLT84rh99zQG6+47kvxDkgOmMR4AADBdVjAAAADT8vgkN3b3DWu9\noKoemNF+Cx/t7u1Lzu2X0X4On59qlQAAwFRYwQAAAEysqv5tkgck2b5KvyOq6qhFh+6f5M1Jfr+q\ntizp/sIkW5JcMs1aAQCA6bCCAQAAuJuqOjrJ0UsOH1xVJy36+NLuvm38712hwY2rDH15RkHEvZKk\nu6+pqguTPD3JlVV1cZJvZ7Qa4qQk1yd51Z59FgAAwCwJGAAAgOWcnOSMJceOTvLORR8fnn8NFA4a\nt9/cg3v9WpKrkjwryTkZrbS+IcnZSV7T3XsyJgAAMGMCBgAA4G66+8wkZw7o/+6MHme0Wr/Dljn2\nvSQXjP8DAAA2CHswAAAAAAAAgwkYAAAAAACAwSZ+RFJVHZzk5Ul+Psn9k9ya0fNTX9nd1y7pe+8k\nL0pySpJDk3wjyRVJXtbdn5u0FgAAAAAAYH1MtIKhqu6X5Nokv5rkf4zbNyX5qSRXVdWxi/puSfLe\nJC9N8ldJnpHkNUlOSHJNVR0xSS0AAAAAAMD6mXQFw9lJDknyC919ya6DVfXxJO/JaLXCyePDpyR5\nXJJzuvsFi/penuQTSc5JcuKE9QAAAAAAAOtg0oDhS0nenuTdS45fluTOJD+26NjTxu3rF3fs7mur\n6iNJnlRV9+nuWyesCQAAAIBN4PydF85k3NOOfPpMxgW4p5koYOjuM1c4tX+SLRntsbDLQ5N8sbtv\nXqb/R5Mcn+S4jPZkmNiOHTumMQxzZh43F/M5XwsLCxOPsXgO92Q+p10D0+PrurmYz41v27Zt8y4B\nAABgVRPtwbAbvzFu35YkVbV/kh9Msly4kCQ3jdsHzqgeAAAAAABgiiZ9RNLdVNUTkrw8ySeT/NH4\n8P7j9rYVLltY0m9i3vW1se1656V53BzM595h+6e2TzzGtm3bJprPadXA9Pj53FzMJwAAAOtpqisY\nquppSd6b5MYkT+7u26c5PgAAAAAAsHeYWsBQVS9L8pYkn07yyO7+u0Wnd+3FsHWFy/db0g8AAAAA\nANiLTSVgqKpzk5yV5H1JHt3df7/4fHf/U5JbkhyywhCHjls7EgIAAAAAwAYw8R4M45ULpyf54ySn\ndff3Vuj6kST/sap+pLtvWnLuUUm+leTaSesB2Ky2Xzz5/gXTqGFhYbRtzjT2UwAAAABg45poBUNV\nPSbJK5K8O8mv7SZcSJILxu1zl4zx6CQPTvKO8UoHAAAAAABgLzfpCobXjtu/SHJiVS3X59Luvq27\n319VlyR5TlUdkOSKjB6N9PwkNyd58YS1AAAAAAAA62TSgOG4cXvebvocnuTG8b+fkuSFSZ6a5NQk\nX0vygSQv6e4vT1gLAAAAAACwTiYKGLp7y8D+t2e0GfRZk9wXAAAAAACYr4n2YAAAAAAAAO6ZBAwA\nAAAAAMBgAgYAAAAAAGAwAQMAAAAAADCYgAEAAAAAABhMwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAA\nAIMJGAAAAAAAgMEEDAAAAAAAwGACBgAAAAAAYDABAwAAAAAAMJiAAQAAAAAAGEzAAAAAAAAADCZg\nAAAAAAAABhMwAAAAAAAAg+0z7wIAAIC9V1Xtm+TsJM9P8uHuPmHJ+TOTnLGbIf6gu5+zhvscneSs\nJI9OckCSv03y1iSv7u7b96h4AABgpgQMAOtg+8Xb510CAAxWVZXkT5MclWTLKt3PTPKZZY7vWMN9\nfjTJR5J8K8lrk9yc5ITxmMcl+bk1lgwAAKwjAQMAAHA3VXVQkmszCggekuSzq1zyoe6+cg9v93tJ\n9kvyyO6+fnzsbVW1kOT0qvrZ7n7fHo4NAADMiD0YAACA5eyb5KIkD+/untVNquqHkjwuyRWLwoVd\n3jBuT53V/QEAgD1nBQMAAHA33f2VJM8cet14z4YM2DfhIRk9fumaZWrYWVVfTfKwoXUAAACzJ2AA\nAACm4eSqOi/J0UlSVduTvKa7/2SV6w4btzevcP6mJD9eVft093enUeiOHatuC8EGYB43F/N5Vwu3\nLcxs7Fl9rRfXvLAwu/qnxffc2vlabT7mdGPbtm3bvEu4C49IAgAApuEJSd44bk9PcmCSi6rqd1a5\nbv9xe9sK5xeW9AMAAPYSVjAAAACTeGuSv05yTXd/fXzssqp6R0YbQ59RVW/q7lvnVuESe9u7vhhm\n17suzePmYD6Xt3Xn1TMbe9uRs/lab9159b+sXNi6detM7jFNs/o6bCZ+Pjcfc8osCBgAAIA91t07\nk+xc5vjfV9W7kpyW5Pgkf7bCEN8Ytyv9NWq/cfvNSeoEAACmzyOSAACAWfnKuD1gN32+MG4PWeH8\noUlumNb+CwAAwPRYwQAAAOyRqvr+JCcmuaO737lcl3F7026G+ViS72a0ymHp+MckuU+S909YKgAA\nMANWMACXku3lAAAgAElEQVQAAHuku7+T5BUZbeZ8l4f5VtXRSX4uyc0ZhQi7jh9RVUctGuMfkrwv\nyQlVdeySWzxv3L55BuUDAAATsoIBAAC4m3FAcPSSwwdX1UmLPr40ybOSXJbkqqo6L8kNGa1c+K0k\ndyQ5bRxE7HJ5kgckudeiY7+d5CeS/HlVvTbJl5L8dJJfTnJBd394ap8YAAAwNQIGAABgOScnOWPJ\nsaOTLH4U0uHdfXlVPSzJS5M8O8mBSf4xo9Dhd7v7utVu1N1fqKpHJHlVkhck2T/J55M8P8m5k34i\nAADAbAgYAACAu+nuM5Ocuca+12a0F8Na+h62wvEdGYUaAADABmEPBgAAAAAAYDABAwAAAAAAMJiA\nAQAAAAAAGEzAAAAAAAAADCZgAAAAAAAABhMwAAAAAAAAgwkYAAAAAACAwQQMAAAAAADAYAIGAAAA\nAABgMAEDAAAAAAAwmIABAAAAAAAYTMAAAAAAAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgAAAAAAIDB\nBAwAAAAAAMBgAgYAAAAAAGCwfeZdAAAAAADr4/ydF867BAA2ESsYAAAAAACAwQQMAAAAAADAYAIG\nAAAAAABgMAEDAAAAAAAwmIABAAAAAAAYTMAAAAAAAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgAAAAA\nAIDBBAwAAAAAAMBgAgYAAAAAAGAwAQMAAAAAADCYgAEAAAAAABhMwAAAAAAAAAwmYAAAAAAAAAbb\nZ1oDVdW+Sc5O8vwkH+7uE5acPzPJGbsZ4g+6+znTqgcAAJjcar/nj/vsl+R3kvxykkOSLCT5eJL/\n0t2Xr+EeNyY5dDddju3u64bWDgAAzNZUAoaqqiR/muSoJFtW6X5mks8sc3zHNGoBAACmYy2/51fV\nvZNcleRHk/xxkquT/HCS05P831X15O6+dA23uyXJb65w7oaBpQMAAOtg4oChqg5Kcm1GAcFDknx2\nlUs+1N1XTnpfAABgdgb8nv/cJP9Hkud19+8tuv7PklyX0RuM1hIw3Nbd75qkZgAAYH1NYw+GfZNc\nlOTh3d1TGA8AAJi/tf6e/40k/zPJBYsPdvenk3wpyY/NrEIAAGCuJl7B0N1fSfLModeNn+Wa7r59\n0hoAAIDpWuvv+d39hiRvWHq8qr4vydaMAohBquoHknyru+8cei0AALB+prbJ8wAnV9V5SY5Okqra\nnuQ13f0n07zJjh22dNgMzOPmck+ez4WFhXmXMHXz+pzuyd9Hs+TrurmYz41v27Zt8y5hGp6S5MAk\n566x/72r6vVJTk1ynyT/XFV/nuSF3b3aY1gH8TOyOZjHzcV83tXCbRv79cNGeP3je27tfK02H3O6\nse1trxWm8YikoZ6Q5I3j9vSMXnRcVFW/M4daAACAKauq45Kcl+Rvk7xyjZfdL8lhSX49yc8n+W9J\nnpTkr6vqqBmUCQAATGg9VzC8NclfJ7mmu78+PnZZVb0jow3jzqiqN3X3rdO42d6W5DDMriTVPG4O\n5jPZ/qnt8y5hana9G2nr1q1zuf89+ftoFvx8bi7mk71BVT0uoz0ZvpXkid391TVc9itJvtfdVy06\n9p6quj7J+UlekdGKiKnwM7Kx+X/d5mI+l7d159XzLmGPzPu1whDbjvQ9txo/n5uPOWUW1i1g6O6d\nSXYuc/zvq+pdSU5LcnySP1uvmgAAgOmpqmckeVOSm5L8dHevaf19d39ohVP/PckfJnnsdCoEAACm\naR6PSFrOV8btAXOtAgAA2CNV9dwkFyT5eJKHrzVc2J3uviPJP8TrBAAA2CutywqGqvr+JCcmuaO7\n37lcl3F703rUAwAATE9VPS3J65JcluQXuvu2Adc+MMljkny0u7cvObdfkh9O8vkplgsAAEzJuqxg\n6O7vZPTc1Iuq6i4P+aqqo5P8XJKbk3xsPeoBAACmo6oelNFjkT6W5MTVwoWqOmLJps33T/LmJL9f\nVVuWdH9hki1JLpliyQAAwJRMvIJhHBAcveTwwVV10qKPL03yrIze0XRVVZ2X5IaMVi78VpI7kpw2\nDiIAAIA5G/B7/quS3CvJB5M8saqyjA919y3jf1+e5AHja9Ld11TVhUmenuTKqro4ybeTPD7JSUmu\nH98DAADYy0zjEUknJzljybGjkyx+FNLh3X15VT0syUuTPDvJgUn+MaPQ4Xe7+7op1AIAAEzHmn7P\nT/Lg8b/P3M1Yj0ly5W7O/1qSqzJ6U9I5Ga20viHJ2Ule093fXGvRAADA+pk4YOjuM7P7FxOL+16b\n0V4MAADAXmzA7/mHDRz3bv27+3sZbRB9wZCxAACA+VqXPRgAAAAAAIDNRcAAAAAAAAAMJmAAAAAA\nAAAGEzAAAAAAAACDCRgAAAAAAIDBBAwAAAAAAMBgAgYAAAAAAGAwAQMAAAAAADCYgAEAAAAAABhM\nwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAAAIMJGAAAAAAAgMEEDAAAAAAAwGACBgAAAAAAYDABAwAA\nAAAAMJiAAQAAAAAAGEzAAAAAAAAADCZgAAAAAAAABhMwAAAAAAAAgwkYAAAAAACAwQQMAAAAAADA\nYAIGAAAAAABgMAEDAAAAAAAwmIABAAAAAAAYTMAAAAAAAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgA\nAAAAAIDBBAwAAAAAAMBg+8y7AAAAAADYDM7feeFMxj3tyKfPZFyASVnBAAAAAAAADCZgAAAAAAAA\nBvOIJAAAYEVVtW+Ss5M8P8mHu/uEZfrcO8mLkpyS5NAk30hyRZKXdffn1nifo5OcleTRSQ5I8rdJ\n3prk1d19++SfCQAAMG1WMAAAAMuqqkpyTZJnJtmyQp8tSd6b5KVJ/irJM5K8JskJSa6pqiPWcJ8f\nHd/nkUleOx7jQ0nOTHLxhJ8GAAAwI1YwAAAAd1NVByW5NsmOJA9J8tkVup6S5HFJzunuFyy6/vIk\nn0hyTpITV7nd7yXZL8kju/v68bG3VdVCktOr6me7+317/MkAAAAzYQUDAACwnH2TXJTk4d3du+n3\ntHH7+sUHu/vaJB9J8qSqus9KF1fVD2UUUFyxKFzY5Q3j9tQhhQMAAOvDCgYAAOBuuvsrGT0aaTUP\nTfLF7r55mXMfTXJ8kuMy2pNhOQ/J6PFL1yxTw86q+mqSh62paAAAYF0JGAAAgD1SVfsn+cEkK61w\nuGncPjArBwyHjdvlAopdY/x4Ve3T3d/dkzqX2rFjxzSGYc7M4+ZiPu9q4baFeZcwkYWFvb/+WX3P\nzWru5vkz4udz8zGnG9u2bdvmXcJdeEQSAACwp/Yft7etcH5hSb9ZjQEAAMyBFQwAAMA9yt72ri+G\n2fWuS/O4OZjP5W3defW8S9gju1YubN26dc6VrG7bkbP5npvV3M2q3t3x87n5mFNmwQoGAABgT31j\n3K70l6T9lvSbZIxvDqgLAABYBwIGAABgj3T3PyW5JckhK3Q5dNzu7kG/Xxi3uxvjhmntvwAAAEyP\ngAEAAJjER5IcUlU/ssy5RyX5VpJrd3P9x5J8N8nxS09U1TFJ7pPkqinUCQAATJmAAQAAmMQF4/a5\niw9W1aOTPDjJO8YrHXYdP6Kqjtr1cXf/Q5L3JTmhqo5dMvbzxu2bp141AAAwMZs8AwAAd1NVRyc5\nesnhg6vqpEUfX9rd76+qS5I8p6oOSHJFRo81en6Sm5O8eMkYlyd5QJJ7LTr220l+IsmfV9Vrk3wp\nyU8n+eUkF3T3h6f0aQEAAFMkYAAAAJZzcpIzlhw7Osk7F318eJIbkzwlyQuTPDXJqUm+luQDSV7S\n3V9e7Ubd/YWqekSSVyV5QZL9k3w+o5Di3Ik+CwAAYGYEDAAAwN1095lJzlxj39uTnDX+b7W+h61w\nfEdGoQYAALBB2IMBAAAAAAAYTMAAAAAAAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgAAAAAAIDBBAwA\nAAAAAMBgAgYAAAAAAGAwAQMAAAAAADCYgAEAAAAAABhMwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAA\nAIMJGAAAAAAAgMEEDAAAAAAAwGACBgAAAAAAYDABAwAAAAAAMJiAAQAAAAAAGGyfaQ1UVfsmOTvJ\n85N8uLtPWKbPvZO8KMkpSQ5N8o0kVyR5WXd/blq1AAAAAAAAszWVFQxVVUmuSfLMJFtW6LMlyXuT\nvDTJXyV5RpLXJDkhyTVVdcQ0agEAAAAAAGZv4hUMVXVQkmuT7EjykCSfXaHrKUkel+Sc7n7Bousv\nT/KJJOckOXHSegAAAAAAgNmbxgqGfZNclOTh3d276fe0cfv6xQe7+9okH0nypKq6zxTqAQAAAAAA\nZmziFQzd/ZWMHo20mocm+WJ337zMuY8mOT7JcRntyQAAAAAAAOzFprbJ8+5U1f5JfjDJSiscbhq3\nD8yUAoYdO3ZMYxjmzDxuLvfk+VxYWJh3CVM3r8/pnvx9NEu+rpuL+dz4tm3bNu8SAAAAVjWVTZ7X\nYP9xe9sK5xeW9AMAAAAAAPZi67KCYR6862tj2/XOS/O4OZjPZPunts+7hKnZtXJh69atc7n/Pfn7\naBb8fG4u5hMAAID1tF4rGL4xblf6a9R+S/oBAAAAAAB7sXUJGLr7n5LckuSQFbocOm49MBgAAAAA\nADaA9VrBkCQfSXJIVf3IMuceleRbSa5dx3oAAAAAAIA9tJ4BwwXj9rmLD1bVo5M8OMk7xisdAAAA\nAACAvdzEmzxX1dFJjl5y+OCqOmnRx5d29/ur6pIkz6mqA5JckdGjkZ6f5OYkL560FgAAAAAAYH1M\nHDAkOTnJGUuOHZ3knYs+PjzJjUmekuSFSZ6a5NQkX0vygSQv6e4vT6EWAAAAAABgHUwcMHT3mUnO\nXGPf25OcNf4PAAAAAADYoNZzDwYAAAAAAGCTmMYjkgAAgHuwqrpzDd0O7+4bJxjjoO6+dVBhAADA\nTAkYAACASf3ibs79bpIDk9yyhnH+Jnff322XhaFFAQAAsyVgAAAAJtLd71rueFX9XJIjkzy9u9cS\nENyy0lgAAMDexx4MAADA1FXV/kn+MMlfdfdb5l0PAAAwfVYwAAAAs/CyJP82yc8MvbCqtiT5gTWu\negAAAOZEwAAAAExVVd0vybOSXNTd1w+49L5VdVGSE5NsrapvJnlPkhd19/83rfp27NgxraGYI/O4\nuZjPu1q4bWPnqwsLe3/9s/qem9XczfNnxM/n5mNON7Zt27bNu4S78IgkAABg2l6Q5F5JXjXwuqPH\n7VMz2jj63UlOTXJNVd13euUBAADTYAUDAAAwNVV1UJJnJvlAd+8ccOkTMtrk+ZOLjr2rqr6Y5CVJ\nnpfkRdOocW971xfD7HrXpXncHMzn8rbuvHreJeyRXSsXtm7dOudKVrftyNl8z81q7mZV7+74+dx8\nzCmzYAUDAAAwTb+U5AeSDNrYubsvWxIu7PJfx+1jJy0MAACYLgEDAAAwTb+Y5NtJPjil8W5JcmeS\nA6Y0HgAAMCUekQQAAExFVe2X5BFJru7ubw247t+Pr/tgd9+05PS2JFuSLD0OAADMmRUMAADAtPxY\nku9Psn13narqQVV1+KJDxyR5Y5KXL9N9174Ll0ylQgAAYGqsYAAAAKblqHF74yr9/leSTvKg8cfv\nTPKMJL9aVfdNcmmS70tyYkZ7L/xFkvOnXSwAADAZKxgAAIBpOWjcfnPIRd393SRPTvLbGYUUr0/y\nuiQHj4/9zLgPAACwF7GCAQAAmIru/v0kv7+GfluWOfbPSV47/g8AANgABAwAa7D94t0+Spp1NOlc\nHHPyMVOqBAAAAOCezSOSAAAAAACAwQQMAAAAAADAYAIGAAAAAABgMAEDAAAAAAAwmIABAAAAAAAY\nTMAAAAAAAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgAAAAAAIDBBAwAAAAAAMBgAgYAAAAAAGAwAQMA\nAAAAADCYgAEAAAAAABhsn3kXAAAAALARnb/zwnmXAABzZQUDAAAAAAAwmIABAAAAAAAYTMAAAAAA\nAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgAAAAAAIDBBAwAAAAAAMBgAgYAAAAAAGAwAQMAAAAAADCY\ngAEAAAAAABhMwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAAAIMJGAAAAAAAgMEEDAAAAAAAwGACBgAA\nAAAAYDABAwAAAAAAMJiAAQAAAAAAGGyfeRcAAABsfFV1YZJf2U2X53b3uauM8YgkL0vy8CT3TvK5\nJOcneUN33zmlUgEAgCkRMAAAANP0m0luWeb4dbu7qKp+MskHk3wxyZlJvprkPyZ5fZIjkjxnqlUC\ncI92/s4L510CwKYgYAAAAKbpg9194x5c91+T/HOSR3X3342P/UlVvSfJs6vqj7v709MqEgAAmJw9\nGAAAgLmqqoclqSQXLwoXdnlDki1JnrruhQEAALslYAAAAKauqu5VVWtdMf3QcXvNMuc+Om4fNnlV\nAADANHlEEgAAME3PqqqTkhyW5I6q+niSs7r70t1cc9i4vXnpie7+ZlXdmuSB0ypwx44d0xqKOTKP\nm8tGnc+F2xbmXcJeaWHB12Xa5vkzslF/PlmZOd3Ytm3bNu8S7sIKBgAAYJoen+Q/J3likpck2Zbk\nA1V1ym6u2X/c3rbC+YVFfQAAgL2EFQwAAMA0vC7J25Nc2d3fHh+7tKrel+S6JK+rqou7+465VTi2\nt73ri2F2vevSPG4OG30+t+68et4l7FV2rVzYunXrnCvZfLYduf4/Ixv955O7M6fMgoABAACYWHdf\nn+T6ZY7/TVVdmeRxSf5dks8sc/k3xu1Kf5Hab1EfAABgL+ERSQAAwKx9ZdwesML5L4zbQ5aeqKoD\nkxyYxMOCAQBgL2MFAwAAMJGqOiDJk5P8Y3dftlyXcfvFFYb4yLg9PskFS849atxeNVGRAADA1FnB\nAAAATOr2JOclubCq7rv4RFU9Nsl/SPKx7r55fOxBVXX4rj7dfV2Sa5P8YlUdsujaLUmem+Q7Sd4y\n888CAAAYxAoGAABgIt39z1V1epILk3ysqt6Y5MtJjk3yzCRfT/Lriy75X0k6yYMWHfvNJH+Z5MNV\ndW6SW5OckuQnk7ysuz8/688DAAAYxgoGAABgYt39lozCgJ1JXpzRo45OSvK2JMeNVyns7vqPJvmJ\nJJ9NclaSNyV5QJJndPfZMywdAADYQ1YwAAAAU9Hdf5nRKoTV+m1Z4fgnkvzMtOsCAABmwwoGAAAA\nAABgsHVdwVBVFyb5ld10eW53n7tO5QAAAAAAAHtoXo9I+s0ktyxzfLfPZQUAAAAAAPYO8woYPtjd\nN87p3gAAAAAAwITswQAAAAAAAAw214Chqu5VVfNaRQEAAAAAAOyhef1x/1lVdVKSw5LcUVUfT3JW\nd186rRvs2LFjWkMxR+Zxc9nI87mwsDDvEvY6G/VrspG/D2fJ12VzMZ8b37Zt2+ZdAsCmcv7OC+dd\nAgBsSvNawfD4JP85yROTvCTJtiQfqKpT5lQPAAAAAAAwwHqvYHhdkrcnubK7vz0+dmlVvS/JdUle\nV1UXd/cdk97Iu742tl3vvDSPm8NmmM/tn9o+7xL2GrtWLmzdunXOleyZjfx9OAub4eeTf2U+AQAA\nWE/rGjB09/VJrl/m+N9U1ZVJHpfk3yX5zHrWBQAAAAAADDPXTZ6X+Mq4PWCuVQAAAAAAAKtatxUM\nVXVAkicn+cfuvmy5LuP2i+tVEwAAAAAAsGfWcwXD7UnOS3JhVd138YmqemyS/5DkY9198zrWBAAA\nAAAA7IF1W8HQ3f9cVacnuTDJx6rqjUm+nOTYJM9M8vUkv75e9QAAAAAAAHtuXfdg6O63JPnJJDuT\nvDjJBUlOSvK2JMd193XrWQ8AAAAAALBn1m0Fwy7d/ZdJ/nK97wsAAAAAAEzPuq5gAAAAAAAANgcB\nAwAAAAAAMJiAAQAAAAAAGGzd92AAgHnafvH2icc45uRjplAJAAAAwMZmBQMAAAAAADCYgAEAAAAA\nABhMwAAAAAAAAAwmYAAAAAAAAAYTMAAAAAAAAIMJGAAAAAAAgMH2mXcBAAAAAMDKzt954czGPu3I\np89sbGDzs4IBAAAAAAAYTMAAAAAAAAAMJmAAAAAAAAAGEzAAAAAAAACDCRgAAAAAAIDBBAwAAAAA\nAMBg+8y7AAAAYOOrqoOTvDzJzye5f5Jbk1yV5JXdfe0arr9zlS4HdfetExcKAABMjYABAACYSFXd\nL8knk/ybJH+U5NNJjkry7CSPr6rju/tTaxjqb5KcscK5hWnUCgAATI+AAQDg/2/v3oMsqasDjn8n\nkPBYdjciqFQwLIb1bMGaElQgKBG28EFSREVBjPgWTURFUZJYugpqUqbcCspLFAgQY6wChA1VAU0M\nEEpAQYkrRHIAQUGwFEoRMusLmPzRPXgd5s7evt23507f76eK6p3uX3f/es7+7vbh3F+3pLo+CuwK\nvDwzL55dGRE3ABuB9wFHDnCc+zLzotF0UZIkSVLTfAeDJEmSpLruBT4PXDJn/ReBGeAPW++RJEmS\npJFzBoMkSZKkWjLzxD6blgNTwINVjhcRU8D2meljkSRJkqQxZoFBkiRJ0qj8Rbn83IDtd4qIfwIO\nB5ZFxEOUj1jKzHua6tRtt93W1KG0iIxjt4w6ntObrVe2aXra3/dSsqXx5+dt9xjTpW316tWL3YXf\n4COSJEmSJDUuIg4FPkjx8udPDbjbnuXyaOAIikcuvQa4LiJ2aryTkiRJkmpxBoMkSZKkRkXEa4Gz\nge8Ch2XmLwfY7VCKlzx/o2fdRRFxN/B+4D0UL4uubdy+9aVqZr91aRy7oa14Lrv9mpEeX4XZmQvL\nli1b5J6oitV7zD/+/LztHmOqUXAGgyRJkqTGRMR64HxgE/C8zPzBIPtl5hfnFBdmnVEuD2moi5Ik\nSZIa4gwGSZIquvmCmxe7C6w9cu1id0GSHiciPgEcB1wKvCozNzdw2PuAGWBFA8eSJEmS1CALDJIk\nSZJqK2cuHAecCxyTmY9U2PcZwAHA5Zl515zNq4EpYO56SZIkSYvMRyRJkiRJqiUiDgZOongp85u3\nVFyIiDURsXvPqrXAmRQvhZ5r9r0LFzfRV0mSJEnNcQaDJEmSpLo2lMsvA4dHxHxtLut5ZNItQAJr\nyp8vBN4IvCkidgIuA7YCDqd498KXgbNG03VJkiRJw7LAIEmSJKmufcrl6Qu02R347nwbMvPhiDgM\neDtFoeHFwKPArcAJwCcz8+HGeitpbJ11+3mL3QVJklSBBQZJkiRJtWTmVN32mflzipkQGx6/hyRJ\nkqRx5DsYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmS\nJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYY\nJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZRYYJEmSJEmSJElS\nZRYYJEmSJEmSJElSZRYYJEmSJEmSJElSZVsvdgckjc7NF9y82F1g7ZFrax9jHK5D6prZcTU9PV38\n/N/tj7Nx+Hxoog+SJEmSJE0qZzBIkiRJkiRJkqTKnMEgSZIkSdIiOuv280Zy3GP2eP1IjiupW/p9\nBk1vLmY7L7v9mqGO62dQYVSf8TC637H/LqkKZzBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJ\nkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBI\nkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTK\nLDBIkiRJkiRJkqTKLDBIkiRJkiRJkqTKtm77hBGxI/Ah4KXALsD9wGXA+sz8Qdv9kSRJktSMuvf6\nEXEAsB7YH9gOuBU4CzgtM2dG1W9JkiRJw2l1BkNEbAdcBfwl8AXg9cCngVcC10TEE9rsjyRJkqRm\n1L3Xj4h1wJXAauBE4BiKAsMpwMkj6rYkSZKkGtqewfAu4BnAsZl5xuzKiNgEXELxbaXjW+6TJEmS\npPrq3uufAfwcOLBntsNnI2Ij8M6IODczN42m65IkSZKGMTUz095M44i4BXgq8MTM/EXP+ingLmAb\n4MlVpj//9Kc/daq0JEmSJsLKlSunFrsP/dS514+I/YCvAmdn5jFzth0C/AewITNPqNIncwVJkiRN\nisXKFVp7RFJErADWADf2JhwAZZJxPbAzsHtbfZIkSZJUXwP3+vuWy+vm2fa1crlfA12VJEmS1KA2\n38GwW7n8fp/td5XLp7XQF0mSJEnNqXuvv6rf/pn5EPDAAvtKkiRJWiRtFhiWl8vNfbZPz2knSZIk\naWmoe68/yP7mCZIkSdKYabPAIEmSJEmSJEmSOqLNAsOD5XJZn+07zGknSZIkaWmoe68/yP7mCZIk\nSdKY2brFc90JzAC79tk++9zW26ocdLHeji1JkiTpMXXv9e8ol4/bPyJWAiuBG6t2ylxBkiRJGq3W\nZjBk5jTwLWCfiNi2d1tEbAUcANydmXfNt78kSZKk8dTAvf615fK582w7sFx+pYm+SpIkSWpO2+9g\nOAfYHnjrnPVHA08Czm65P5IkSZKaMfC9fkSsiYjdZ3/OzG9SzFA4IiJ27Wk3Bbwb+BVw/ui6LkmS\nJGkYbT4iCeBM4NXAhojYDfg6sBdwPHATsKHl/kiSJElqRpV7/VuABNb0rHsbcCVwdUR8AngAOApY\nB6zPzO+M/AokSZIkVTI1MzPT6gkjYgVwIvByYBfgR8AlwIcy88etdkaSJElSYwa914+IGSAzc82c\n/Z8NfJjikUrbUBQiTs3Mc1u5AEmSJEmVtF5gkCRJkiRJkiRJS1/b72CQJEmSJEmSJEkdYIFBkiRJ\nkmuv910AAAs2SURBVCRJkiRVZoFBkiRJkiRJkiRVZoFBkiRJkiRJkiRVZoFBkiRJkiRJkiRVZoFB\nkiRJkiRJkiRVtvVid2AhEXEAsB7YH9gOuBU4CzgtM2cqHOc1wGnAisycmmf7QcCVCxxiU2Y+s0LX\n1UdbMe1p9zrg7cCewKPAN4C/y8x/H/oi9Ji68YyI3wLeBbwBWA38HLgGODEzb+hpdxCO0cZExI7A\nh4CXArsA9wOXAesz8wcD7D9w3CNiT+DDwPOBFcD3gH8GPpaZv2zqmiZdWzGNiO8Cuy1wqL0z85vD\nXYVm1Y1neYw9gH8BngO8ITPP69POMTpibcVzEsenuUL3mCt0i7nC0mSu0D3mCt1irtAtXckVxrbA\nEBHrgMuBu4ETgR8DLwFOAf6A4kZjS8dYCXwKOAr42QCnvRC4YJ71DwzUaS2o7ZhGxAeAj1DcbL6D\n4u/7W4HLI+LIzPzCsNeiZuIJfAZ4E3Ax8HFgJXAccHVErMvM6+a0d4zWFBHbAVcBaygS769TJGzv\nBdZFxLMy8ycL7D9w3CNiL+BairG6Afg+cFC53z4U/4CqpjZjWroPeFufw9057HWoUDee5THeQBG/\nLZ3LMTpibcazNDHj01yhe8wVusVcYWkyV+gec4VuMVfoli7lCmNbYADOoPiGwoE9FZvPRsRG4J0R\ncW5mbtrCMS4Hng4cBpxAUXFbyLcz86I6ndaCWotpRPw+8EHgq8ALMvORcv3ngW8Dp0fEpZn5q7oX\nNcFqxTMi/ogiYbgwM4/sWX8xxTciTqf4R6uXY7S+dwHPAI7NzDNmV0bEJuASim+mHL/A/lXi/g/A\nDsDzMvOmct3nImIaOC4i/iwzL23syiZXmzEF2Ow4HKla8YyItwCfBk4Fbi7/3I9jdPTajCdM1vg0\nV+gec4VuMVdYmswVusdcoVvMFbqlM7nCWL6DISL2AwK4YJ7pIKcBU8DRAxzqZuCZmflvDXdRFS1C\nTF8F/DbFlL1HZldm5kPA+cCTgRcO2H3N0VA8X1suP9m7MjPvofgg3busmKtZrwWmgXPmrP9Xim8k\nHB0R8z5KoErcI2IX4AXAFT03I71tAV4z7EXoN7QSU7Vm6Hj2eFlmvhPoO23ZMdqaVuI5acwVusdc\noVvMFZY0c4XuMVfoFnOFbulMrjCWBQZg33I5d8ojwNfK5X5bOkhmviUzv1/15BGxVTlNRc1pO6aN\nnE99NfH73Rd4BLi+6jEco8OJiBUUU+9uzMxf9G4rn515PbAzsHufQ1SJ+7Mpbjgf1zYzb6eYWusY\nrKnlmM53/u0HuOHRgBqIJ5n5mczcOMDpHKMj1nI85zt/l8enuUL3mCt0i7nCEmSu0D3mCt1irtAt\nXcsVxrXAsKpcPu7msPxWyQPA00Zw3r0j4j8ppn9tjoh7IuIjEbHNCM41aVaVy7Zi2vd8wF3lchR/\nhybFqnJZJ56rgB/1mXreL0aO0XpmX+jTL/He0thY1W//eeLet23PuZ4aEeP8qL6loM2YztouIk6J\niJ9QfNtic0RsjIg1A/da/dSNZxWrBjiXY7SeNuM5a1LG56pyaa7QHavKpblCN6wql+YKS4u5QveY\nK3SLuUK3dCpXaO0vQkQMMm3q3sy8Alhe/ry5T7vpnjZNWkfxYowNwFOANwIfAJ4F/MkIzrekjXlM\nlwOP5PxvtZ/uaaPSIsRzOdDvZTX9YuQYrWeQuPW2G2b/5RXazrZb8KVFWlCbMZ31JIobzrdSTMM8\nGDgWOCgi9s3MW7fQZ/VXN56jOpdjdDhtxnPWkh2fY35fOcv7kArGPKbmChWZK0wEc4XuMVfoFnOF\nbulUrtBmpemzA7T5EnDFqDsyj28BhwKZmY+9NTsizqd4m/ehEfGizPzSIvRtnI1zTFXdOMfTMSqN\nh9dR/A+Zr/Ss2xgRNwFnASdRPNdaUvuW+vj0PqR7xjmmqm6c4+kYlcbDUr8XkbpspOOzzQLDEwZo\nMzv98cFyuaxPux162tSWmT8GvjjP+kcj4kzgQOAQihsm/drYxrQ81lYRsc3cZ5mV5+rtkwptx/PB\nLez/2Hkco40ZJG697YbZ/8EKbQEe6rNdg2kzpmTmf/Vp94/AqRTjUMOrG89RnMsxOrw249mF8Tm2\n95XehwxtbGOKucIwzBW6z1yhe8wVusVcoVs6lSu0VmDIzAcqNL+jXO46d0NErARWAjc20a8B/LBc\nrmjpfEvGmMf0DoqpsLsC35mzbfY5Z7c1eL4lbxHieQfwrIj4nXmmp1eJkWN0cHcCM8wTt9KWfu9V\n4t63bc+57szMhxfqsLaozZj2VSbw91NMudTw6sazCsfo6LUZz76Wyvgc8/vKhXgf0seYx9RcoSJz\nhYlgrtA95grdYq7QLZ3KFcb1Jc/XlsvnzrPtwHL5lXm2DSUiDomIYyNivt9HlMu75tmmwbUa00U4\n36Rp4vd7LcVn0P4LHOMacIw2JTOnKaaQ7xMR2/Zui4itgAOAuzOz3++yStyvBx6er21ErAV+F8dg\nbW3GNCKeFhFvKuP3GyJiB+D3cBzW0kA8q3CMjlib8ZzA8Wmu0D3mCt1irrAEmSt0j7lCt5grdEvX\ncoWxLDBk5jcpqqBHRMRjlZyImALeTTH18vye9SsjYk1E7DjkKY8ATgP+vHdlRGwPHEdRUdo45LHF\nosT088DPgHf0vtU+Ip5I8dyx71A8j1NDaCie51KMrXf3HjsiVgOHAVdm5uw3yhyjzTkH2J7ipT69\njqaoWJ89u6KM2e6zP1eJe2beD1xK8bKgveec6z3l8mzUhFZiCjy5PNbJ5fZefwNMARc3cUETbuh4\nVuEYbU0r8WTCxqe5QveYK3SLucKSZq7QPeYK3WKu0C2dyRXafAdDVW8DrgSujohPAA8ARwHrgPU9\nNxMAL6O4AXkf8DGAiNgZeH5Pm53L9a/oWXdDZn6P4kUWfwqcExH7AzdQBPLNwNOBkzLzfxq/wsnT\nWkwz84cR8dfAKcCXo3jB17bA2ymmx74yMx8dwTVOklrxzMxNEXEycHxEXELxYbYTcDxlwtezv2O0\nOWcCrwY2RMRuwNeBvSh+7zcBG3ra3gIksKZnXZW4nwD8MfCliNgA3Au8uDz/OZl5dfOXN5FaiWlm\nXhcR5wGvB66KiAuAXwAvAl5RnutvR3OJE6VWPCPiUH79HM9nzy4j4v/KP9/X8/xNx+jotRLPCR2f\n5grdY67QLeYKS5O5QveYK3SLuUK3dCZXGMsZDACZ+TWKv8j/C3wY+DTwFOCNmfnRAQ6xF3Bhz397\nlut71x1cnute4DnAZ4CXUFR13g/cAxyemSc2clETrs2Yluc7leJbLNsDpwN/TxHTgzPzigYuaaI1\nEE+A91IkB3tQvLV+PUVCcEBvEuAYbU5m/gp4IcVLfF4OnEfxTb2zgYMyc/MW9h847pl5B8W0vquA\nv6Kozu9DEfe5FXoNqc2YUiTqbwaWAx+n+LbgWuCjwHMz0xdi1lQ3nsCn+PW/iceW647tWXdSz7kc\noyPWZjyZsPFprtA95grdYq6wNJkrdI+5QreYK3RLl3KFqZmZmTr7S5IkSZIkSZKkCTS2MxgkSZIk\nSZIkSdL4ssAgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8Ag\nSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIq\ns8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIk\nSZIqs8AgSZIkSZIkSZIqs8AgSZIkSZIkSZIq+3+eLSB9gEj1OwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 494, "width": 780 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(11., 7))\n", "\n", "for i, _stock in enumerate(stocks):\n", " plt.subplot(2,2,i+1)\n", " plt.hist(stock_returns[_stock], bins=20,\n", " normed = True, histtype=\"stepfilled\",\n", " color=colors[i], alpha=0.7)\n", " plt.title(_stock + \" returns\")\n", " plt.xlim(-0.15, 0.15)\n", "\n", "plt.tight_layout()\n", "plt.suptitle(\"Histogram of daily returns\", size =14);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XliwM2I0h30E" }, "source": [ "Below we perform the inference on the posterior mean return and posterior covariance matrix. " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "Ox3yBj3DIAvX" }, "outputs": [], "source": [ "def stock_joint_log_prob(observations, prior_mu, prior_scale_diag, loc, scale_tril):\n", " \"\"\"MVN with priors: loc=Normal, covariance=Wishart.\n", "\n", " Args:\n", " observations: `[n, d]`-shaped `Tensor` representing Bayesian Gaussian\n", " Mixture model draws. Each sample is a length-`d` vector.\n", " prior_mu: Expert Prior Mu\n", " prior_scale_diag: Expert Prior scale (diagonal)\n", " loc: `[K, d]`-shaped `Tensor` representing the location parameter of the\n", " `K` components.\n", " scale_tril: `[K, d, d]`-shaped `Tensor` representing `K` lower\n", " triangular `cholesky(Covariance)` matrices, each being sampled from\n", " a Wishart distribution.\n", "\n", " Returns:\n", " log_prob: `Tensor` representing joint log-density over all inputs.\n", " \"\"\"\n", " rv_loc = tfd.MultivariateNormalDiag(loc=prior_mu,\n", " scale_identity_multiplier=1.)\n", " rv_cov = tfd.Wishart(\n", " df=10,\n", " # scale_tril = chol(diag(prior_scale_diag**2)) is equivalent to\n", " scale_tril=tf.diag(prior_scale_diag), \n", " # For computational reasons, let's make all calcultions in Cholesky form.\n", " input_output_cholesky=True) \n", " rv_observations = tfd.MultivariateNormalTriL(\n", " loc=loc,\n", " scale_tril=scale_tril)\n", " return (rv_loc.log_prob(loc) +\n", " rv_cov.log_prob(scale_tril) +\n", " tf.reduce_sum(rv_observations.log_prob(observations), axis=-1))\n", " " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "bDmQXEN3h30E" }, "outputs": [], "source": [ "# For such a small problem, its faster to use CPU. A way to leverage GPU\n", "# might be to use >1 chain and then flatten the results.\n", "with tf.device('cpu'):\n", " \n", " # Set the chain's start state.\n", " initial_chain_state = [\n", " expert_prior_mu,\n", " tf.diag(expert_prior_std),\n", " ]\n", "\n", " # Set the unconstraining bijectors.\n", " unconstraining_bijectors = [\n", " tfb.Identity(),\n", " # Maps between a positive-definite matrix and a numerically stabilized, \n", " # lower-triangular form.\n", " tfb.ScaleTriL() \n", " ]\n", "\n", " # Define a closure over our joint_log_prob.\n", " unnormalized_posterior_log_prob = lambda *args: stock_joint_log_prob(\n", " stock_returns_obs, expert_prior_mu, expert_prior_std, *args)\n", "\n", " # Initialize the step_size. (It will be automatically adapted.)\n", " with tf.variable_scope(tf.get_variable_scope(), reuse=tf.AUTO_REUSE):\n", " step_size = tf.get_variable(\n", " name='stock_step_size',\n", " initializer=tf.constant(0.5, dtype=tf.float32),\n", " trainable=False,\n", " use_resource=True\n", " )\n", "\n", " # Sample from the chain.\n", " [\n", " stock_return_samples,\n", " chol_covariance_samples,\n", " ], kernel_results = tfp.mcmc.sample_chain(\n", " num_results=int(15e3),\n", " num_burnin_steps=int(2e3),\n", " current_state=initial_chain_state,\n", " kernel=tfp.mcmc.TransformedTransitionKernel(\n", " inner_kernel=tfp.mcmc.HamiltonianMonteCarlo(\n", " target_log_prob_fn=unnormalized_posterior_log_prob,\n", " num_leapfrog_steps=2,\n", " step_size=step_size,\n", " step_size_update_fn=tfp.mcmc.make_simple_step_size_update_policy(),\n", " state_gradients_are_stopped=True),\n", " # Since HMC operates over unconstrained space, we need to transform\n", " # the samples so they live in real-space.\n", " bijector=unconstraining_bijectors))\n", "\n", " mean_chol_covariance = tf.reduce_mean(chol_covariance_samples, axis=0)\n", "\n", " # Initialize any created variables.\n", " init_g = tf.global_variables_initializer()\n" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 53 }, "colab_type": "code", "id": "xNpzHKy_SvmO", "outputId": "29d94639-154f-4b6f-e33d-03bc9260c9ec" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "acceptance rate: 0.6618\n", "final step size: 0.0011185656767338514\n" ] } ], "source": [ "# Can take up to 5 minutes in Graph Mode\n", "evaluate(init_g)\n", "[\n", " stock_return_samples_,\n", " chol_covariance_samples_,\n", " mean_chol_covariance_,\n", " kernel_results_\n", "] = evaluate([\n", " stock_return_samples,\n", " chol_covariance_samples,\n", " mean_chol_covariance,\n", " kernel_results\n", "])\n", "print(\"acceptance rate: {}\".format(\n", " kernel_results_.inner_results.is_accepted.mean()))\n", "print(\"final step size: {}\".format(\n", " kernel_results_.inner_results.extra.step_size_assign[-100:].mean()))\n" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 280 }, "colab_type": "code", "id": "LYDbCkha2pAw", "outputId": "e42e940c-b777-4267-a924-b161e2139184" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABogAAAIPCAYAAABAJVxYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAgAAAAAAmBFEAAAAAAAAMwHcxgsHPRLJxAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 263, "width": 836 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(12.5, 4))\n", "\n", "# examine the mean return first.\n", "# mean_return_samples_ is a 4-column data frame collected for each stock\n", "mu_samples_ = stock_return_samples_\n", "\n", "for i in range(4):\n", " plt.hist(mu_samples_[:,i], alpha = 0.8 - 0.05*i, bins = 30,\n", " histtype=\"stepfilled\", color=colors[i], normed=True, \n", " label = \"%s\" % stock_returns.columns[i])\n", "\n", "plt.vlines(mu_samples_.mean(axis=0), 0, 500, linestyle=\"--\", linewidth = .5)\n", "\n", "plt.title(r\"Posterior distribution of $\\mu$, daily stock returns\")\n", "plt.xlim(-0.010, 0.010)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "2HfSPPBKh30I" }, "source": [ "(Plots like these are what inspired the book's cover.)\n", "\n", "What can we say about the results above? Clearly TSLA has been a strong performer because the distribution is mostly above zero. Similarly, most of the distribution of AMZN is negative, suggesting that its *true daily return* is negative.\n", "\n", "You may not have immediately noticed, but these variables are a whole order of magnitude *less* than our priors on them. For example, to put these one the same scale as the above prior distributions:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 511 }, "colab_type": "code", "id": "ivxBl93vh30I", "outputId": "7d27a241-d5f5-4102-822f-38605f871649" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABhgAAAPdCAYAAAB4D2IhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 494, "width": 780 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(11.0, 7))\n", "\n", "for i in range(4):\n", " plt.subplot(2,2,i+1)\n", " plt.hist(mu_samples_[:,i], alpha = 0.8 - 0.05*i, bins = 30,\n", " histtype=\"stepfilled\", normed=True, color = colors[i],\n", " label = \"%s\" % stock_returns.columns[i])\n", " plt.title(\"%s\" % stock_returns.columns[i])\n", " plt.xlim(-0.15, 0.15)\n", " \n", "plt.suptitle(r\"Posterior distribution of daily stock returns\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "HwOhEcsfh30J" }, "source": [ "Why did this occur? Recall how I mentioned that finance has a very very low signal to noise ratio. This implies an environment where inference is much more difficult. One should be careful about over-interpreting these results: notice (in the first figure) that each distribution is positive at 0, implying that the stock may return nothing. Furthermore, the subjective priors influenced the results. From the fund managers point of view, this is good as it reflects his updated beliefs about the stocks, whereas from a neutral viewpoint this can be too subjective of a result. \n", "\n", "Below we show the posterior correlation matrix, and posterior standard deviations. An important caveat to know is that the Wishart distribution models the *covariance matrix* (although it can also be used to model the inverse covariance matrix). We also normalize the matrix to acquire the *correlation matrix*. Since we cannot plot hundreds of matrices effectively, we settle by summarizing the posterior distribution of correlation matrices by showing the *mean posterior correlation matrix* (defined on line 2)." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 508 }, "colab_type": "code", "id": "eRN-k-VuVN5n", "outputId": "a414a7a5-9daf-41de-e04a-a791f447a2de" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABhkAAAPWCAYAAAD9CvncAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEmSVItBBkmSJEmSJEmSVMv/AzEo6sznoRRgAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 491, "width": 780 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "mean_covariance_matrix = tf.matmul(mean_chol_covariance_, mean_chol_covariance_, adjoint_b=True)\n", "mean_covariance_matrix_ = evaluate(mean_covariance_matrix)\n", "\n", "def cov2corr(A):\n", " \"\"\"\n", " A: covariance matrix input\n", " Returns:\n", " A: correlation matrix output\n", " \"\"\"\n", " d = tf.sqrt(tf.matrix_diag_part(A))\n", " A = tf.transpose(tf.transpose(A)/d)/d\n", " return A\n", "\n", "\n", "plt.subplot(1,2,1)\n", "plt.imshow(evaluate(cov2corr(mean_covariance_matrix_)) , interpolation=\"none\", \n", " cmap = \"hot\") \n", "plt.xticks(evaluate(tf.range(4.)), stock_returns.columns)\n", "plt.yticks(evaluate(tf.range(4.)), stock_returns.columns)\n", "plt.colorbar(orientation=\"vertical\")\n", "plt.title(\"(mean posterior) Correlation Matrix\")\n", "\n", "plt.subplot(1,2,2)\n", "plt.bar(evaluate(tf.range(4.)), evaluate(tf.sqrt(tf.matrix_diag_part(mean_covariance_matrix_))),\n", " color = \"#5DA5DA\", alpha = 0.7)\n", "plt.xticks(evaluate(tf.range(4.)), stock_returns.columns);\n", "plt.title(\"(mean posterior) standard deviations of daily stock returns\")\n", "\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pU9pYDdyh30M" }, "source": [ "Looking at the above figures, we can say that likely TSLA has an above-average volatility (looking at the return graph this is quite clear). The correlation matrix shows that there are not strong correlations present, except perhaps GOOG and AMZN expressing a much higher correlation of about 0.80; if you look back a few cells at the original plot of the returns over time, you'll see how closely they follow each other.\n", "\n", "With this Bayesian analysis of the stock market, we can throw it into a Mean-Variance optimizer (which I cannot stress enough, do not use with frequentist point estimates) and find the minimum. This optimizer balances the tradeoff between a high return and high variance.\n", "\n", "$$ w_\\text{opt} = \\max_{w} \\frac{1}{N}\\left( \\sum_{i=0}^N \\mu_i^T w - \\frac{\\lambda}{2}w^T\\Sigma_i w \\right)$$\n", "\n", "where $\\mu_i$ and $\\Sigma_i$ are the $i$th posterior estimate of the mean returns and the covariance matrix. This is another example of loss function optimization." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "NVFx5oT5h30M" }, "source": [ "### Protips for the Wishart distribution\n", "\n", "If you plan to be using the Wishart distribution, read on. Else, feel free to skip this. \n", "\n", "In the problem above, the Wishart distribution behaves pretty nicely. Unfortunately, this is rarely the case. The problem is that estimating an $NxN$ covariance matrix involves estimating $\\frac{1}{2}N(N-1)$ unknowns. This is a large number even for modest $N$. Personally, I've tried performing a similar simulation as above with $N = 23$ stocks, and ended up giving up considering that I was requesting my MCMC simulation to estimate at least $\\frac{1}{2}23*22 = 253$ additional unknowns (plus the other interesting unknowns in the problem). This is not easy for MCMC. Essentially, you are asking you MCMC to traverse 250+ dimensional space. And the problem seemed so innocent initially! Below are some tips, in order of supremacy:\n", "\n", "1. Use conjugancy if it applies. See section below.\n", "\n", "2. Use a good starting value. What might be a good starting value? Why, the data's sample covariance matrix is! Note that this is not empirical Bayes: we are not touching the prior's parameters, we are modifying the starting value of the MCMC. Due to numerical instability, it is best to truncate the floats in the sample covariance matrix down a few degrees of precision (e.g. while TFP holds up to instability and unsymmetrical matrices much better than higher-level tools like PyMC, it's stilll better to try and avoid them for the sake of model accuracy). \n", "\n", "3. Provide as much domain knowledge in the form of priors, if possible. I stress *if possible*. It is likely impossible to have an estimate about each $\\frac{1}{2}N(N-1)$ unknown. In this case, see number 4.\n", "\n", "4. Use empirical Bayes, i.e. use the sample covariance matrix as the prior's parameter.\n", "\n", "5. For problems where $N$ is very large, nothing is going to help. Instead, ask, do I really care about *every* correlation? Probably not. Further ask yourself, do I really really care about correlations? Possibly not. In finance, we can set an informal hierarchy of what we might be interested in the most: first a good estimate of $\\mu$, the variances along the diagonal of the covariance matrix are secondly important, and finally the correlations are least important. So, it might be better to ignore the $\\frac{1}{2}(N-1)(N-2)$ correlations and instead focus on the more important unknowns.\n", "\n", "**Another thing** to note is that Wishart distribution matrices are required to have certain mathematical characteristics that are very restrictive. This makes it so that it is impossible for MCMC methods to propose matrices that will be accepted in our sampling procedure. With our model here we sample the Bartlett decomposition of a Wishart distribution matrix and use that to calculate our samples for the covariance matrix (http://en.wikipedia.org/wiki/Wishart_distribution#Bartlett_decomposition)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iRX-m7quh30M" }, "source": [ "## Conjugate Priors\n", "\n", "Recall that a $\\text{Beta}$ prior with $\\text{Binomial}$ data implies a $\\text{Beta}$ posterior. Graphically:\n", "\n", "$$ \\underbrace{\\text{Beta}}_{\\text{prior}} \\cdot \\overbrace{\\text{Binomial}}^{\\text{data}} = \\overbrace{\\text{Beta}}^{\\text{posterior} } $$ \n", "\n", "Notice the $\\text{Beta}$ on both sides of this equation (no, you cannot cancel them, this is not a *real* equation). This is a really useful property. It allows us to avoid using MCMC, since the posterior is known in closed form. Hence inference and analytics are easy to derive. This shortcut was the heart of the Bayesian Bandit algorithm above. Fortunately, there is an entire family of distributions that have similar behaviour. \n", "\n", "Suppose $X$ comes from, or is believed to come from, a well-known distribution, call it $f_{\\alpha}$, where $\\alpha$ are possibly unknown parameters of $f$. $f$ could be a Normal distribution, or Binomial distribution, etc. For particular distributions $f_{\\alpha}$, there may exist a prior distribution $p_{\\beta}$, such that:\n", "\n", "$$ \\overbrace{p_{\\beta}}^{\\text{prior}} \\cdot \\overbrace{f_{\\alpha}(X)}^{\\text{data}} = \\overbrace{p_{\\beta'}}^{\\text{posterior} } $$ \n", "\n", "where $\\beta'$ is a different set of parameters *but $p$ is the same distribution as the prior*. A prior $p$ that satisfies this relationship is called a *conjugate prior*. As I mentioned, they are useful computationally, as we can avoided approximate inference using MCMC and go directly to the posterior. This sounds great, right?\n", "\n", "Unfortunately, not quite. There are a few issues with conjugate priors.\n", "\n", "1. The conjugate prior is not objective. Hence only useful when a subjective prior is required. It is not guaranteed that the conjugate prior can accommodate the practitioner's subjective opinion.\n", "\n", "2. There typically exist conjugate priors for simple, one dimensional problems. For larger problems, involving more complicated structures, hope is lost to find a conjugate prior. For smaller models, Wikipedia has a nice [table of conjugate priors](http://en.wikipedia.org/wiki/Conjugate_prior#Table_of_conjugate_distributions).\n", "\n", "Really, conjugate priors are only useful for their mathematical convenience: it is simple to go from prior to posterior. I personally see conjugate priors as only a neat mathematical trick, and offer little insight into the problem at hand. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "boR5QieIh30N" }, "source": [ "## Jefferys Priors\n", "\n", "Earlier, we talked about objective priors rarely being *objective*. Partly what we mean by this is that we want a prior that doesn't bias our posterior estimates. The flat prior seems like a reasonable choice as it assigns equal probability to all values. \n", "\n", "But the flat prior is not transformation invariant. What does this mean? Suppose we have a random variable $\\textbf X$ from Bernoulli($\\theta$). We define the prior on $p(\\theta) = 1$. " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "dAizKLxwh30N", "outputId": "12576249-349d-4302-f372-80399fb3eb82" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABn0AAAJkCAYAAADUc+QcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzs3XvQZ2dB4PlvSwoFQhpmuSwlIQlT\nyZMJ6AqmhOIikdJVtxwFBqixAGGVKUbcERV0oGa5iFBrjSmvDFoSwGGUrRUGIjsTpcpRSbEgrLIw\nccTHFnJjpFwuQ8gmXER6/+hfV7312m+6O++v091PPp8q6vCe85znnF//8fzzzTnnwOHDhwMAAAAA\nAODs9jWn+wYAAAAAAADYP9EHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+AAAAAAAACxB9AAAA\nAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAA\ngAWIPgAAAAAAAAsQfQAAAAAAABZwzn4nGGM8sHpF9dTqwdXnqvdWPzPn/NAJzvG46uXVY6t7VX9Z\nvaF63Zzz8K6xl1Wvrp5UnVfdWP1m9bNzzi/v9/cAAAAAAACcjfYVfcYYD6r+tPrvql+tPlJdUv1o\n9Z1jjMfPOf+f48zx5Op3q5urV1Wfrb6v+uXqH1Y/tmPsI6r3VV+orqw+UV2xOe/R1VP283sAAAAA\nAADOVvt90uc11UOrfzLnfMfRnWOM/7u6unpZ9czjzPH66ovVE+ecn9zs+3djjKurHx1jvHnO+ZHN\n/p+vzq2eMOe8brPvt8YYt1UvGmN875zzXfv8TQAAAAAAAGed/Uafv67+9+qdu/b/XnW4+sY7OnmM\n8ZhqVFftCD5Hva4jT/w8u/rIGOMh1XdU/2lH8Nk59kXVc6qTij633HLL4eOPAgAAAAAAuPMOHjx4\n4FRfY1/RZ875qj0O3bc6UH3+OFN8y2b7/mMc+8Bm+5jN9vLNnH9v7Jzzr8YYn90xFgAAAAAA4G7l\na07RvP98s/2t44y7cLP9xO4Dc85bq89VDz/e2I2bqvPHGPt9egkAAAAAAOCss/XoM8b47uoV1Z9W\nv3qc4ffdbG/f4/htO8acyNid4wAAAAAAAO42thp9xhg/UP1OdUP1j+ecX97m/AAAAAAAABzb1qLP\nGOPl1b+tPlI9Yc75yRM47eg3f+6zx/Fzd4w5kbFVt57AdQEAAAAAAJaylegzxvjF6tXVu6onzTn/\n3xM89eOb7UOPMefB6mB16HhjNy6orp9zfuUErw1wt3Ho0KEOHTp0/IEAZynrHLAyaxywMmscwHbt\nO/psnvB5UfXm6mlzzr2+uXMs79tsH3+MY0/cbN+72X6w+sqxxo4xHlndb8dYAAAAAACAu5V9RZ8x\nxrdVP129s3r+nPPvjjP+0jHGRUf/nnN+uPpQ9YwxxkN3jDtQ/Xj1tx15ZVxzzk935EmiK8YYj9o1\n9Ys326v283sAAAAAAADOVufs8/wrN9vfr542xjjWmGt2PP3z0WpWl+44/sLqD6trN6+J+1z1T6sn\nVy+fc35sx9ifrL61evcY48rqr6vvqp5VvXHOee0+fw8AAAAAAMBZab/R59Gb7b+5gzEXVTfsdXDO\n+YExxrd25JtAr66+tiNx6AfnnG/eNfbjY4zHVa+tfqq6b/Wx6iXVL97J3wAAAAAAAHDW21f0mXMe\n2Mb4OeefVP/TCc5xqHrmyVwXAAAAAABgdfv6pg8AAAAAAABnBtEHAAAAAABgAaIPAAAAAADAAkQf\nAAAAAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAA\nAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAA\nAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAW\nIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+\nAAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGiDwAA\nAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAAAFiA6AMAAAAA\nALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAWIPoAAAAAAAAs\nQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+AAAAAAAACzhn\nWxONMe5ZvaZ6SXXtnPOKEzjnedWbjzPsPUfnGmPcUF1wB2MfNef88PHvFgAAAAAAYC1biT5jjFG9\ntbqkOnASp/5h9Yw9jj20+oXqv+za/6nqhXucc/1JXBsAAAAAAGAZ+44+Y4z7Vx+qDlWXV39xoufO\nOW+sbtxj3qurz1Sv2HXo9jnn2+/c3QIAAAAAAKxpG9/0uWf1luqxc865hfkaYzy1+r7qX845P7ON\nOQEAAAAAAFa27yd95px/U/3wFu6lqjHG11a/VH2wetNxxt67+sKc8/C2rg8AAAAAAHA22so3fbbs\nn1XnV8/ZI+bca4zxy9VzqvtVXxxjvLt66ZzzhF8tdzyHDh3a1lQAZwxrG7A66xywMmscsDJrHLCS\niy+++LRdexuvd9uazVM+L62unXO+Z49hD6ourF5QPbX69ep7qj8eY1xyV9wnAAAAAADAmeZMe9Ln\nedXXV/9ij+PPrf5uzvneHfuuHmNcV72h+unq+7dxI6ezxAFs29H/YsraBqzKOgeszBoHrMwaB7Bd\nZ1r0eX71meo/HOvgHTz986bqV6pvP0X3BQAAAAAAcEY7Y17vNsa4sLq8+o9zzr89mXPnnF+tPl2d\ndwpuDQAAAAAA4Ix3Jj3p852b7R8c6+AY4+HVt1UfmHP+2a5j53bktXAfO6V3CAAAAAAAcIa6S5/0\nGWNcOsa4aI/D37zZ/tkexx9cXVX9whjjwK5jL60OVO/Y/10CAAAAAACcffb9pM8Y47Lqsl27HzjG\nePqOv6+Zc95efbSa1aXHmOqSzfaGY11nzvn+McZvVM+r/miM8dvVlzryhNDTq+uq1965XwEAAAAA\nAHB228br3Z5ZvXLXvsuqt+34+6L2iDk73H+zvfUOxjy/em/1I9XPdeRJpeur11T/es55R+cCAAAA\nAAAsa9/RZ875qupVJzh292vZdh77H07g/L+r3rj5HwAAAAAAABt36Td9AAAAAAAAODVEHwAAAAAA\ngAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGAB\nog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgD\nAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAA\nAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAA\nAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMAC\nRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEH\nAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAA\nAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAA\nABYg+gAAAAAAACzgnG1NNMa4Z/Wa6iXVtXPOK07wvMPHGXL/Oefndoy/rHp19aTqvOrG6jern51z\nfvlO3DoAAAAAAMBZbyvRZ4wxqrdWl1QH7sQUf169co9jt+24ziOq91VfqK6sPlFdUb2qenT1lDtx\nbQAAAAAAgLPevqPPGOP+1YeqQ9Xl1V/ciWk+Ned8+wmM+/nq3OoJc87rNvt+a4xxW/WiMcb3zjnf\ndSeuDwAAAAAAcFbbxjd97lm9pXrsnHNuYb5jGmM8pPqO6g92BJ+jXrfZPudUXR8AAAAAAOBMtu8n\nfeacf1P98BbupTHGgerec87bjnH48o68Ou79x7iHvxpjfLZ6zDbuAwAAAAAA4GyzlW/6bMEDxhhv\nqZ5W3WeMcWt1dfWyOed/3Yy5cLP9xB5z3FR90xjjnDnnV/Z7Q4cOHdrvFABnHGsbsDrrHLAyaxyw\nMmscsJKLL774tF17G69324bLNttnV8+o3tmRV7W9f4zxgM2x+262t+8xx227xgEAAAAAANxtnAlP\n+nx39ak555/u2Pf2McbN1b+qXly97K6+qdNZ4gC27eh/MWVtA1ZlnQNWZo0DVmaNA9iu0/6kz5zz\n93YFn6Nev9l++2b7+c32PntMde5me+u27g0AAAAAAOBscdqjzx34VHW4Om/z98c324fuMf6C6vpt\nfM8HAAAAAADgbHNaX+82xviG6nHV7845b9p1+OLqQHV0/werr1SPP8Y8j6zuV/2fp+5uAQAAAAAA\nzlx36ZM+Y4xLxxgX7dj1yOrXqlccY/jR7/i8o2rO+enqXdUVY4xH7Rr74s32qi3eLgAAAAAAwFlj\n30/6jDEuqy7btfuBY4yn7/j7mjnn7dVHq1ldutn/tuoHqx8aYzyguqa6R/W0jnzL5/erN+yY5yer\nb63ePca4svrr6ruqZ1VvnHNeu9/fAwAAAAAAcDbaxuvdnlm9cte+yzoSdI66qLph94lzzq+MMf5x\n9b90JP58V/XV6i87Enh+aec3euacHx9jPK56bfVT1X2rj1UvqX5xC78FAAAAAADgrHTg8OHDp/se\nTqtbbrnl7v0PANwtHDp0qKqLL774NN8JwKlhnQNWZo0DVmaNA+5ODh48eOBUX+Mu/aYPAAAAAAAA\np4boAwAAAAAAsADRBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg\n+gAAAAAAACxA9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4A\nAAAAAAALEH0AAAAAAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAA\nAADAAkQfAAAAAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAA\nsADRBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA\n9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0A\nAAAAAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAA\nAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAA\nYAGiDwAAAAAAwAJEHwAAAAAAgAWcs62Jxhj3rF5TvaS6ds55xUmc+4TqldW3VF9X3Vz9++pn5pz/\n345xN1QX3MFUj5pzfvhk7x0AAAAAAOBst5XoM8YY1VurS6oDJ3nus6rfrGZHws/nq++pfqp64hjj\nCXPOr+445VPVC/eY7vqTvHUAAAAAAIAl7Dv6jDHuX32oOlRdXv3FSZz7tdWvduTJnsfMOW/ZHHrT\nGOOd1VOq76qu2XHa7XPOt+/3vgEAAAAAAFayjW/63LN6S/XYOec8yXP/++od1f+2I/gcdTT0fOM+\n7w8AAAAAAGB5+37SZ875N9UP38lzb6yet8fhg5vt5/c6f4xx7+oLc87Dd+b6AAAAAAAAqzhw+PB2\ne8kY43D1njnnFfuY457Vh6sLqovnnH+92X9Dda/q/6ieU92v+mL17uqlc84TfrXcUbfccssx/wEO\nHTp0Z24dAAAAAAC4G7v44ouPuf/gwYMHTvW1t/F6t60aY3xN9YbqH1UvPxp8dnhQdWH1guqp1a9X\n31P98RjjkrvwVgEAAAAAAM4Y+3692zaNMe5VvbV6SvVv5pw/v2vIc6u/m3O+d8e+q8cY13UkFP10\n9f3buJe9ShzA2ejo04vWNmBV1jlgZdY4YGXWOIDtOmOizxjjgdW7qsdWPzPnfMXuMXPO9+xx+puq\nX6m+/dTdIQAAAAAAwJnrjHi92xjjwdX/VV1e/c/HCj53ZM751erT1Xmn4PYAAAAAAADOeKf9SZ8x\nxnnV71UPq753zvm7e4x7ePVt1QfmnH+269i51ddXHzvFtwsAAAAAAHBGukuf9BljXDrGuGjX7l+q\nvqn6/r2Cz8aDq6uqXxhjHNh17KXVgeodW7tZAAAAAACAs8i+n/QZY1xWXbZr9wPHGE/f8fc1c87b\nq49Ws7p0c+43Vs+t/ry6x65zjvrUnPM9c873jzF+o3pe9UdjjN+uvlR9Z/X06rrqtfv9PQAAAAAA\nAGejbbze7ZnVK3ftu6x6246/L6puOMa5j+7IEzq7x+/0nuqKzf9/fvXe6keqn+vIk0rXV6+p/vWc\n89aTvnsAAAAAAIAFHDh8+PDpvofT6pZbbrl7/wMAdwuHDh2q6uKLLz7NdwJwaljngJVZ44CVWeOA\nu5ODBw/u/nTN1t2l3/QBAAAAAADg1BB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAA\nsADRBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA\n9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0A\nAAAAAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAA\nAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAA\nYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAAAFiA\n6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAWIPoA\nAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+AAAA\nAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsIBztjXRGOOe1Wuql1TXzjmv\nOIlzH1e9vHpsda/qL6s3VK+bcx7eNfay6tXVk6rzqhur36x+ds755f3/EgAAAAAAgLPPVqLPGGNU\nb60uqQ6c5LlPrn63url6VfXZ6vuqX67+YfVjO8Y+onpf9YXqyuoT1RWb8x5dPWU/vwMAAAAAAOBs\nte/oM8a4f/Wh6lB1efUXJznF66svVk+cc35ys+/fjTGurn50jPHmOedHNvt/vjq3esKc87rNvt8a\nY9xWvWiM8b1zznft5/cAAAAAAACcjbbxpM89q7dUPz7n/OKRh35OzBjjMdWortoRfI56XUee+Hl2\n9ZExxkOq76j+047gs3Psi6rnVFuJPgf++fO3MQ3AGeGS030DAKeYdQ5YmTUOWJk1DljR4V+76rRd\ne9/RZ875N9UP38nTv2Wzff8xjn1gs33MZnt5R14d9/fGzjn/aozx2R1jAQAAAAAA7la+5jRf/8LN\n9hO7D8w5b60+Vz38eGM3bqrOH2Ns5TtFAAAAAAAAZ5PTHX3uu9nevsfx23aMOZGxO8cBAAAAAADc\nbZzu6AMAAAAAAMAWnO7o8/nN9j57HD93x5gTGVt16xbuCwAAAAAA4Kxyur9/8/HN9qG7D4wxDlYH\nqw8db+zGBdX1c86vbOPGDr/sf93GNABnhJtuvrmqh51//mm+E4BTwzoHrMwaB6zMGgewXaf7SZ/3\nbbaPP8axJ262791sP1h95VhjxxiPrO63YywAAAAAAMDdyl0afcYYl44xLjr695zzwx15kucZY4yH\n7hh3oPrx6m+rf7sZ++nqXdUVY4xH7Zr6xZvtVafw9gEAAAAAAM5Y+3692xjjsuqyXbsfOMZ4+o6/\nr5lz3l59tJrVpTuOvbD6w+raMcYvVp+r/mn15Orlc86P7Rj7k9W3Vu8eY1xZ/XX1XdWzqjfOOa/d\n7+8BAAAAAAA4G23jmz7PrF65a99l1dt2/H1RdcOxTp5zfmCM8a3Vqzf/+9qOxKEfnHO+edfYj48x\nHle9tvqp6r7Vx6qXVL+4718CAAAAAABwljpw+PDh030Pp9Utt9xy7H+AG2+4a28E4BTyYUxgddY5\nYGXWOGBl1jhgSRdceMzdBw8ePHCqL32XftMHAAAAAACAU0P0AQAAAAAAWIDoAwAAAAAAsADRBwAA\nAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAA\nAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAW\nIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+\nAAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGiDwAA\nAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEAAAAAAFiA6AMAAAAA\nALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAAAAAWIPoAAAAAAAAs\nQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACABYg+AAAAAAAACxB9\nAAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGiDwAAAAAAwALO2cYk\nY4x/UL2yekr1kOrT1TXVy+ecn7yD855Xvfk4079nznnFZvwN1QV3MPZRc84Pn+h9AwAAAAAArGLf\n0WeMca/qj6pLq9dVf1JdXL2kevIY45vnnP9tj9P/sHrGHsceWv1C9V927f9U9cI9zrn+xO8cAAAA\nAABgHdt40ufHqm+ofmTO+fqjO8cYH6neWb28+oljnTjnvLG68VjHxhhXV5+pXrHr0O1zzrdv4b4B\nAAAAAACWsY1v+vxAdVv1xl37f6f6RPXsMcaBk5lwjPHU6vuqfznn/MwW7hEAAAAAAGBp+4o+Y4zz\nOvJatw/NOb+089ic83D1weqB1UUnMefXVr+0OfdNxxl775MNSgAAAAAAACva7+vdLthsP7HH8Zs2\n24dXHz/BOf9ZdX71nE042u1eY4xfrp5T3a/64hjj3dVL55x/cYLXOK6bbr55W1MBnDGsbcDqrHPA\nyqxxwMqsccBKHnbBhaft2vt9vdt9N9vb9zh+265xd2jzlM9Lq2vnnO/ZY9iDqgurF1RPrX69+p7q\nj8cYl5zIdQAAAAAAAFaz3yd9tu151ddX/2KP48+t/m7O+d4d+64eY1xXvaH66er7t3EjDzv//G1M\nA3BGOPpfTFnbgFVZ54CVWeOAlVnjALZrv9Hn85vtffY4fu6uccfz/Ooz1X841sE7ePrnTdWvVN9+\ngtcBAAAAAABYyn5f73Z9dbh66B7Hj37z59DxJhpjXFhdXv3HOeffnsxNzDm/Wn26Ou9kzgMAAAAA\nAFjFvqLPnPO26j9Xjx5jfN3OY2OMe1SPq26ec950AtN952b7B8c6OMZ4+Bjjh8YYjzzGsXM78lq4\nE7kOAAAAAADAcvb7pE/VG6t7Vy/Ytf/Z1YOqq47uGGNcOsa4aI95vnmz/bM9jj94M9cvjDEO7Dr2\n0upA9Y6TuG8AAAAAAIBl7PebPlW/Vj2runKMcUH1J9Ujqp+orquu3DH2o9WsLj3GPJdstjcc6yJz\nzvePMX6jel71R2OM366+1JEnhJ6+udZr9/dTAAAAAAAAzk77ftJn8/2d/7H6leqfVL9RPbcjT+Vc\nMee8/QSnuv9me+sdjHn+5n/3rX6uel31yOo11ePnnJ8/2fsHAAAAAABYwYHDhw+f7ns4rW655ZZj\n/wPceMNdeyMAp9BNN99c1cPOP/803wnAqWGdA1ZmjQNWZo0DlnTBhcfcffDgwd2frtm6bXzTBwAA\nAAAAgNNM9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAA\nAAALEH0AAAAAAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADA\nAkQfAAAAAACABYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADR\nBwAAAAAAYAGiDwAAAAAAwAJEHwAAAAAAgAWIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA9AEA\nAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACRB8AAAAAAIAFiD4AAAAAAAALEH0AAAAA\nAAAWIPoAAAAAAAAsQPQBAAAAAABYgOgDAAAAAACwANEHAAAAAABgAaIPAAAAAADAAkQfAAAAAACA\nBYg+AAAAAAAACxB9AAAAAAAAFiD6AAAAAAAALED0AQAAAAAAWIDoAwAAAAAAsADRBwAAAAAAYAGi\nDwAAAAAAwAJEHwAAAAAAgAWXxUKkAAAYtUlEQVSIPgAAAAAAAAsQfQAAAAAAABYg+gAAAAAAACxA\n9AEAAAAAAFiA6AMAAAAAALAA0QcAAAAAAGABog8AAAAAAMACztnGJGOMf1C9snpK9ZDq09U11cvn\nnJ88zrmHjzP9/eecn9sx/rLq1dWTqvOqG6vfrH52zvnlO/0jAAAAAAAAzmL7jj5jjHtVf1RdWr2u\n+pPq4uol1ZPHGN885/xvx5nmzzsSjY7lth3XekT1vuoL1ZXVJ6orqldVj+5IdAIAAAAAALjb2caT\nPj9WfUP1I3PO1x/dOcb4SPXO6uXVTxxnjk/NOd9+Atf6+erc6glzzus2+35rjHFb9aIxxvfOOd91\n0r8AAAAAAADgLLeNb/r8QEeexnnjrv2/05EncZ49xjiw34uMMR5SfUf1BzuCz1Gv22yfs9/rAAAA\nAAAAnI32FX3GGOd15LVuH5pzfmnnsTnn4eqD1QOri05wvgNjjPvscfjy6kD1/t0H5px/VX22esyJ\n3z0AAAAAAMA69vt6tws220/scfymzfbh1cfvYJ4HjDHeUj2tus8Y49bq6uplc87/uhlz4Qlc65vG\nGOfMOb9yIjd/R266+eb9TgFwxrG2AauzzgErs8YBK7PGASt52AUXnrZr7/f1bvfdbG/f4/htu8bt\n5bLN9tnVMzryLaDnVO8fYzxgy9cCAAAAAABYzn6f9NmG764+Nef80x373j7GuLn6V9WLq5fd1Tf1\nsPPPv6svCXDKHP0vpqxtwKqsc8DKrHHAyqxxANu13yd9Pr/Z7vUdnnN3jft75py/tyv4HPX6zfbb\nT/Jat+51LQAAAAAAgFXtN/pcXx2uHrrH8aPf/Dl0J+b+1Gbu8zZ/H/0m0B1d6/ptfM8HAAAAAADg\nbLOv6DPnvK36z9Wjxxhft/PYGOMe1eOqm+ecNx3r/DHGN4wxXjDGeNgxDl9cHaiOnvvB6ivV448x\nzyOr+1XvvbO/BQAAAAAA4Gy23yd9qt5Y3bt6wa79z64eVF11dMcY49IxxkU7xjyy+rXqFceY9+h3\nfN5RNef8dPWu6ooxxqN2jX3xZntVAAAAAAAAd0PnbGGOX6ueVV05xrig+pPqEdVPVNdVV+4Y+9Fq\nVpdu/n5b9YPVD40xHlBdU92jelpHvuXz+/3/7d1/sK1XXd/x9xUKCUIu0oYfU0ICiiuCUAmWUASM\n0SKtv7BIlSEKohYVfyACw2gjKFCdmqr8EFQIoKidAQXEFsSONSCCMAwl0BGWKD8SikMTKwETQKy3\nf+x9ndPDOTf33r0PN3nyes3cWTnPWut5vvv8sbLP/uz1PPXCHfOfXD24ev0Y45LqI9VD19e/dM75\nxi28HgAAAAAAgBudjXf6zDk/Uz2kem718Oql1aNb7bq5YM553THm/l31Da3CnC+unlP9p+rM9bF/\nvfMZPXPO97e6Zdxl1VNa7TI6r3pSn73TCAAAAAAA4Cbj0JEjR051DafUNddcs/cv4EMf/NwWAnCA\nrrjyyqructZZp7gSgINhnQOWzBoHLJk1Dliks8/Z8/Dhw4cPHfSlt/FMHwAAAAAAAE4xoQ8AAAAA\nAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAA\nAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAA\nLIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACw\nAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMAC\nCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg\n9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAALIDQ\nBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACwAEIf\nAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0A\nAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABbj5Nk4yxrhd9bTqYdWdqqur11YXzzn/8jjmP3A9/37V\nadWV1W9Xz5hz/s2OcR+szj7Gqe4z53znyb0KAAAAAACAG6+NQ58xxunVZdW51fOqt1d3r55UXTjG\nuO+c86+PMf9R1a9Xs1Xw8/Hq66unVA8aYzxwzvn3O6ZcVX3/Pqf7wGavBgAAAAAA4MZpGzt9nlDd\nq3r8nPP5Rw+OMS6vXlVdXD1xr4ljjFtWL2i1s+f8Oec1664XjzFe1Wrn0ENb7Ro66ro5529toW4A\nAAAAAIDF2MYzfb6jura6dNfx36k+XF00xji0z9w7Vq+sfnpH4HPU0aDn3luoEQAAAAAAYNE22ukz\nxjij1W3d/mjO+emdfXPOI2OMt1X/prpr9f7d8+ecH6oes8/pD6/bjx/j+reqPjnnPHLi1QMAAAAA\nACzHprd3O3vdfnif/ivW7d3aI/TZzxjjFtVjq+uqV+/qPn2M8Zzq26vbVp8aY7y+euqc873He43r\nc8WVV27rVAA3GNY2YOmsc8CSWeOAJbPGAUtyl7PPOWXX3vT2brdZt9ft03/trnHXa4zxedULqy+p\nLp5zfmTXkNtX51SPq765+pXq66s/GWN88fFeBwAAAAAAYEk23emzVWOM06vfrB5W/eKc8+d2DXl0\n9X/nnG/acezVY4x3twqKfrJ65DZquctZZ23jNAA3CEe/MWVtA5bKOgcsmTUOWDJrHMB2bRr6HH3e\nzufv03/rXeP2NcY4s3pNdf/qGXPOn9g9Zs75hn2mv7h6bvU113cdAAAAAACAJdr09m4fqI5Ud96n\n/+gzf953rJOMMe5Q/XH15dV37hX4HMuc8++rq6szTmQeAAAAAADAUmwU+sw5r63eVZ03xjhtZ98Y\n42bVA6or55xX7HeOMcYZ1e9Vd6m+cc750n3G3W2M8V1jjC/do+/W1T+t9r0OAAAAAADAkm2606fq\n0upW1eN2Hb+oun31oqMHxhjnjjHuumvcs6svqx4553zdMa5zh/W5fn6McWhX31OrQ9UrT7x8AAAA\nAACAG79Nn+lT9UvVo6pLxhhnV2+v7lk9sXp3dcmOse+pZnVu1Rjj3tWjqz+tbjbG+JY9zn/VnPMN\nc863jDFeWj2mumyM8fLq09XXVt+yvtaztvB6AAAAAAAAbnQ2Dn3mnJ8ZYzykenr18OoHqv/dalfO\n0+ac1x1j+nmtdujco3rFPmPeUF2w/u/vrt5UPb762VY7lT5QPbP6j3POT2zyWgAAAAAAAG6sDh05\ncuRU13BKXXPNNXv/Aj70wc9tIQAH6Iorr6zqLmeddYorATgY1jlgyaxxwJJZ44BFOvucPQ8fPnx4\n96Nrtm4bz/QBAAAAAADgFBP6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8A\nAAAAAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAA\nAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAA\nAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAA\nAACwAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAA\nAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAA\nAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACwAEIfAAAAAACABRD6AAAAAAAA\nLIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFgAoQ8AAAAAAMACCH0AAAAAAAAWQOgDAAAAAACw\nAEIfAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAsg9AEAAAAAAFiAm2/jJGOM21VP\nqx5W3am6unptdfGc8y+PY/4Dqour+1enV39WvbB63pzzyK6x96h+qvrK6ozqQ9WvVz8z5/zbbbwe\nAAAAAACAG5uNQ58xxunVZdW51fOqt1d3r55UXTjGuO+c86+PMf/C6nXVldXTq/9TfVP1nOoLqyfs\nGHvP6s3VJ6tLqg9XF6znndcqdAIAAAAAALjJ2cZOnydU96oeP+d8/tGDY4zLq1e12sHzxGPMf371\nqepBO3YFvWyM8erqh8YYL5lzXr4+/nPVrasHzjnfvT72G2OMa6sfHmN845zzNVt4TQAAAAAAADcq\nh44cOXL9o45hjPGe6qzqH885P73j+KHqiuqW1R1236ZtPeb86k+qF805v2dX39dU/626ZM755DHG\nnar/Vf3BnPNf7hr7RdX7qt+acz7iROq/5pprNvsFAAAAAAAAXI/Dhw8fOuhrfN4mk8cYZ7S6rds7\ndgY+VeuQ523VmdVd9znF/dbtW/boe+u6PX/dfnl1aK+xc84/b3VbuPN39wEAAAAAANwUbBT6VGev\n2w/v03/Fur3bPv3n7Dd/zvmJ6mM75u47dse1zhpjbOOWdQAAAAAAADcqm4Y+t1m31+3Tf+2ucScz\n/zYnMPZY1wIAAAAAAFisTUMfAAAAAAAAbgA2DX0+vm4/f5/+W+8adzLzP34CY6s+sU8/AAAAAADA\nYm36/JsPVEeqO+/Tf/SZP+/bp//96/az5o8xDleHq3dc39gd1/rAnPPvjlXwbocPHz50IuMBAAAA\nAABuiDba6TPnvLZ6V3XeGOO0nX1jjJtVD6iunHNesc8p3rxuv2KPvget2zet27dVf7fX2DHGl1a3\n3TEWAAAAAADgJmUbz/S5tLpV9bhdxy+qbl+96OiBMca5Y4y7Hv15zvnOVjt5HjHGuPOOcYeqH6k+\nU/3qeuzV1WuqC8YY99l1rR9dty8KAAAAAADgJmjT27tV/VL1qOqSMcbZ1dure1ZPrN5dXbJj7Huq\nWZ2749j3V39YvXGM8QvVx6pvqy6sLp5z/sWOsU+uHly9foxxSfWR6qHr618653zjFl4PAAAAAADA\njc7GO33mnJ+pHlI9t3p49dLq0a123Vww57zueua/tVWQ897qp6pfru5YPXbO+cxdY9/f6pZxl1VP\nabXL6LzqSX32TiMAAAAAAICbjENHjhw51TUAAAAAAACwoW080wcAAAAAAIBTTOgDAAAAAACwAEIf\nAAAAAACABRD6AAAAAAAALIDQBwAAAAAAYAGEPgAAAAAAAAtw81NdwEEbY9yuelr1sOpO1dXVa6uL\n55x/eRzzH1BdXN2/Or36s+qF1fPmnEcOqm6A47GFNe6B6/n3q06rrqx+u3rGnPNvDqpugOOx6Rq3\n61ynVZdXX1x91Zzzsu1WC3DitvBe7pbVU6uLqrPW8/9r9eNzzqsPqm6A47GFNe6i6nurf1bdorqi\n+i/VM+ecf3VQdQMcrzHGLapnVk+q3jjnvOAE5h5Y7rDonT5jjNOry6rva/Uh5mOqX66+tfrjMcYX\nXM/8C6s/rO5ePb36nla//OdUP39AZQMcly2scY+q/qjVBwRPW5/nXdVTqt8fYyz6/xHADduma9we\nLm4V+ADcIGzhvdzNWwU8/77Vh6DfXf1W9V3VG9YfQgCcEltY4/5D9bLqH1U/1ir8uaz6wepPxhhn\nHFDpAMdljDGqt7Ra5w6d4NwDzR2WvtPnCdW9qsfPOZ9/9OAY4/LqVa3++H/iMeY/v/pU9aAd30B4\n2Rjj1dUPjTFeMue8/GBKB7heJ73Grb8V+oJWO3vOn3Nes+568RjjVa2+ifXQVt/CAjgVNn0f9w/G\nGPeqnlz9j+o+2y8V4KRsus59b/XV1aPnnL+2PvbrY4yrq8dW57f6gg/AqbDJ36u3a/Xe7YPVg+ec\nn153vWS9xj21+s7q2QdWPcAxrIPrd1Tvq768eu8JnuJAc4elf4v7O6prq0t3Hf+d6sPVRWOMPVO4\nMcb51ahevseW0+e1Su8u2m65ACfkpNe46o7VK6uf3hH4HHU06Ln3tgoFOAmbrHH/YL1r8YXVh1p9\nuxTghmLTde7xrT5oeNnOg3POZ8457zbnFPgAp9Ima9xdWn1R/W07Ap+j3rhuz9lSnQAn4xbVr1X3\nn3POE5n4ucgdFhv6rLd5nlu9Y/f/INb3xHtbdWZ1131Ocb91+5Y9+t66bs/fQqkAJ2zTNW7O+aE5\n52PmnC/Yo/vwuv34FksGOG5beB+30w+0es/2vdXuDw0ATolN17kxxp3X83//6D3fxxinHU8YDnDQ\ntvBe7gOt3rfdfY++c9bt/9xKsQAnYc750Tnn9805P3US0w88d1hs6FOdvW4/vE//Fev2bvv0n7Pf\n/DnnJ6qPHWMuwEHbdI3b0/re74+trqtefXKlAWxsK2vcGOOs6lnVy+acf7Cl2gC2YdN17tx1+xdj\njB8eY3yw+mT1yTHGq8cYX7SVKgFOzkZr3PpuFM+o7jPGeO4Y4wvHGLcfY3x99ePVO6vf2GbBAJ9D\n56zbA8sdlhz63GbdXrdP/7W7xp3M/P3mAhy0Tde4z7LjFkhfUl085/zIyZcHsJFtrXEvqP62+tFt\nFAWwRZuuc7dbt4+uHtcq4P6mVrex/IZWD0m/0xbqBDgZG7+Xm3M+q9WDzb+7+vPqo9XvtnpG44Un\n+e16gBuCA88dbr7JZACWYYxxevWb1cOqX5xz/twpLglgI2OMb6u+rnrsnPOqU10PwJbdYt3eofrS\nOedfrX9+zRjjo61CoB+tnnQqigPY1Bjj+6rnVL9f/efqqla3O3pK9doxxr+ac37sFJYIcIO15NDn\n6LMoPn+f/lvvGncy8z3vAjhVNl3j/sEY48zqNdX9q2fMOX9i8/IANrLRGjfGuF317OoNc86XbLk2\ngG3Y9L3c36zb1+wIfI66tFXoc8FJVwewmU3fy41Wgc8fzDm/bkfX68cYl7e6FfmPtQqAAG5sDjx3\nWHLo84HqSHXnffqP3l/0ffv0v3/dftb8McbhVg86f8cmBQJsYNM1rqoxxh2qP2r1AM3vnHO+dFsF\nAmxg0zXuZ6vbVk9fP+z8qC9Yt2euj1+1++HCAJ8jm65zH1y3N9uj7+r1uc842eIANrTpGndhq88s\nX7lH3+vW5/6qTQoEOIUOPHdY7DN95pzXVu+qzhtjnLazb4xxs+oB1ZVzziv2ml+9ed1+xR59D1q3\nb9pGrQAnagtrXGOMM6rfq+5SfaPAB7ih2MIa99Wtbn30h9WVO/4dvXXly9c//4vtVw9w/bawzv1p\ndU31ZXv0nVUdav8HqAMcqC2scUe//X7aHn23bLXG7dUHcGNw4LnDYkOftUurW7V6sOVOF1W3r150\n9MAY49wxxl2P/jznfGerRO0RO78hOsY4VP1I9ZnqVw+udIDrddJr3NqzW31Q8Mg55+sOslCAk7DJ\nGvfYVg8y3/3vF9b9P7b++d0HUjnA8dnk79W/bfU8xvuOMb5h1/wfWLe/u/WKAY7fJu/ljn4g+q3r\nz+F2esSuMQA3aKcid1jy7d2qfql6VHXJGOPs6u3VPasntvoj/5IdY99TzercHce+v9U3RN84xviF\n6mPVt7XaZnrxnPMvDvwVAOzvpNe4Mca9q0e3+pbozcYY37LH+a+ac77h4MoHOKaTXuPmnP99rxOO\nMf7J+j/fMue87GDKBjhum/69+rTqa6tXjDF+ptUt3y6svr165/r8AKfKJu/l3jzGeEWrgOdNY4yX\nV1dV/7x6fPXRVs8uAzglxhj3qO6x6/CZuz5fe+2c87pOQe6w6J0+c87PVA+pnls9vHppqw85X1Rd\nsP6lH2v+W6sHV++tfqr65eqO1WPnnM88uMoBrt+Ga9x5rbbE36N6xT7/fvKgage4Ppu+jwO4odvC\n36tXVfdv9U3Qf1f9SvWVrW5lecGc85MHVjzA9djCe7lHVj/Y6nZuz1rP/+bqxdV9j3Urc4DPgX/b\n//8ZWn32Z2y332/yQecOh44cObLpOQAAAAAAADjFFr3TBwAAAAAA4KZC6AMAAAAAALAAQh8AAAAA\nAIAFEPoAAAAAAAAsgNAHAAAAAABgAYQ+AAAAAAAACyD0AQAAAAAAWAChDwAAAAAAwAIIfQAAAAAA\nABZA6AMAAAAAALAAQh8AAAAAAIAFEPoAAAAAAAAsgNAHAAAAAABgAYQ+AAAAAAAACyD0AQAAAAAA\nWAChDwAAAAAAwAIIfQAAAAAAABbg/wG4uYaiRj9eHwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 306, "width": 830 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(12.5, 5))\n", "\n", "x = tf.linspace(start=0.000 ,stop=1, num=150)\n", "y = tf.linspace(start=1.0, stop=1.0, num=150)\n", "\n", "[\n", " x_, y_\n", "] = evaluate([\n", " x, y\n", "])\n", "\n", "lines = plt.plot(x_, y_, color=TFColor[0], lw = 3)\n", "plt.fill_between(x_, 0, y_, alpha = 0.2, color = lines[0].get_color())\n", "plt.autoscale(tight=True)\n", "plt.ylim(0, 2);\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "tfk_ynA6h30P" }, "source": [ "Now, let's transform $\\theta$ with the function $\\psi = \\log \\frac{\\theta}{1-\\theta}$. This is just a function to stretch $\\theta$ across the real line. Now how likely are different values of $\\psi$ under our transformation." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "CsaJ4hkWh30P", "outputId": "f91ba5f3-b0b9-4f52-e07f-cff9499eec4b" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABngAAAJkCAYAAAAyWi9YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 306, "width": 828 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize(12.5, 5))\n", "\n", "psi = tf.linspace(start=-10. ,stop=10., num=150)\n", "y = tf.exp(psi) / (1 + tf.exp(psi))**2\n", " \n", "[psi_, y_] = evaluate([psi, y])\n", " \n", "lines = plt.plot(psi_, y_, color=TFColor[0], lw = 3)\n", "plt.fill_between(psi_, 0, y_, alpha = 0.2, color = lines[0].get_color())\n", "plt.autoscale(tight=True)\n", "plt.ylim(0, 1);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "LFRbEVl_h30Q" }, "source": [ "Oh no! Our function is no longer flat. It turns out flat priors do carry information in them after all. The point of Jeffreys Priors is to create priors that don't accidentally become informative when you transform the variables you placed them originally on.\n", "\n", "Jeffreys Priors are defined as:\n", "\n", "$$p_J(\\theta) \\propto \\mathbf{I}(\\theta)^\\frac{1}{2}$$\n", "$$\\mathbf{I}(\\theta) = - \\mathbb{E}\\bigg[\\frac{d^2 \\text{ log } p(X|\\theta)}{d\\theta^2}\\bigg]$$\n", "\n", "$\\mathbf{I}$ being the *Fisher information*" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vPAasBXPh30Q" }, "source": [ "## Effect of the prior as $N$ increases\n", "\n", "In the first chapter, I proposed that as the amount of our observations or data increases, the influence of the prior decreases. This is intuitive. After all, our prior is based on previous information, and eventually enough new information will shadow our previous information's value. The smothering of the prior by enough data is also helpful: if our prior is significantly wrong, then the self-correcting nature of the data will present to us a *less wrong*, and eventually *correct*, posterior. \n", "\n", "We can see this mathematically. First, recall Bayes Theorem from Chapter 1 that relates the prior to the posterior. The following is a sample from [What is the relationship between sample size and the influence of prior on posterior?](http://stats.stackexchange.com/questions/30387/what-is-the-relationship-between-sample-size-and-the-influence-of-prior-on-poste)[1] on CrossValidated.\n", "\n", ">The posterior distribution for a parameter $\\theta$, given a data set ${\\textbf X}$ can be written as \n", "\n", "$$p(\\theta | {\\textbf X}) \\propto \\underbrace{p({\\textbf X} | \\theta)}_{{\\textrm likelihood}} \\cdot \\overbrace{ p(\\theta) }^{ {\\textrm prior} } $$\n", "\n", "\n", "\n", ">or, as is more commonly displayed on the log scale, \n", "\n", "$$ \\log( p(\\theta | {\\textbf X}) ) = c + L(\\theta;{\\textbf X}) + \\log(p(\\theta)) $$\n", "\n", ">The log-likelihood, $L(\\theta;{\\textbf X}) = \\log \\left( p({\\textbf X}|\\theta) \\right)$, **scales with the sample size**, since it is a function of the data, while the prior density does not. Therefore, as the sample size increases, the absolute value of $L(\\theta;{\\textbf X})$ is getting larger while $\\log(p(\\theta))$ stays fixed (for a fixed value of $\\theta$), thus the sum $L(\\theta;{\\textbf X}) + \\log(p(\\theta))$ becomes more heavily influenced by $L(\\theta;{\\textbf X})$ as the sample size increases. \n", "\n", "There is an interesting consequence not immediately apparent. As the sample size increases, the chosen prior has less influence. Hence inference converges regardless of chosen prior, so long as the areas of non-zero probabilities are the same. \n", "\n", "Below we visualize this. We examine the convergence of two posteriors of a Binomial's parameter $\\theta$, one with a flat prior and the other with a biased prior towards 0. As the sample size increases, the posteriors, and hence the inference, converge." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 780 }, "colab_type": "code", "id": "6Q4-vPI_h30R", "outputId": "74d5a989-5c69-4d8b-9cff-29261d5aaf0e" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABl8AAAXTCAYAAABdsyqyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nr73CaioAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 745, "width": 815 }, "tags": [] }, "output_type": "display_data" } ], "source": [ "p = 0.6\n", "beta1_params = tf.constant([1.,1.])\n", "beta2_params = tf.constant([2,10])\n", "\n", "\n", "data = tfd.Bernoulli(probs=p).sample(sample_shape=(500))\n", "[\n", " beta1_params_, \n", " beta2_params_, \n", " data_,\n", "] = evaluate([\n", " beta1_params, \n", " beta2_params, \n", " data\n", "])\n", "\n", "plt.figure(figsize(12.5, 15))\n", "plt.figure()\n", "for i, N in enumerate([0, 4, 8, 32, 64, 128, 500]):\n", " s = data_[:N].sum() \n", " plt.subplot(8,1,i+1)\n", " #params1 = beta1_params_ + np.array([s, N-s])\n", " #params2 = beta2_params_ + np.array([s, N-s])\n", " params1 = beta1_params_ + evaluate(tf.constant([s, N-s]))\n", " params2 = beta2_params_ + evaluate(tf.constant([s, N-s]))\n", " x = tf.linspace(start=0.00, stop=1., num=125)\n", " y1 = tfd.Beta(concentration1 = tf.to_float(params1[0]), \n", " concentration0 = tf.to_float(params1[1])).prob(tf.to_float(x))\n", " y2 = tfd.Beta(concentration1 = tf.to_float(params2[0]), \n", " concentration0 = tf.to_float(params2[1])).prob(tf.to_float(x))\n", " [x_, y1_, y2_] = evaluate([x, y1, y2])\n", " plt.plot(x_, y1_, label = r\"flat prior\", lw =3)\n", " plt.plot(x_, y2_, label = \"biased prior\", lw= 3)\n", " plt.fill_between(x_, 0, y1_, color =\"#5DA5DA\", alpha = 0.15) \n", " plt.fill_between(x_, 0, y2_, color =\"#F15854\", alpha = 0.15) \n", " plt.legend(title = \"N=%d\" % N)\n", " plt.vlines(p, 0.0, 7.5, linestyles = \"--\", linewidth=1)\n", " plt.ylim( 0, 20)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8K7Ps7Myh30S" }, "source": [ "Keep in mind, not all posteriors will \"forget\" the prior this quickly. This example was just to show that *eventually* the prior is forgotten. The \"forgetfulness\" of the prior as we become awash in more and more data is the reason why Bayesian and Frequentist inference eventually converge as well." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XUkMJLSUh30T" }, "source": [ "### Bayesian perspective of Penalized Linear Regressions\n", "\n", "There is a very interesting relationship between a penalized least-squares regression and Bayesian priors. A penalized linear regression is a optimization problem of the form:\n", "\n", "$$ \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) + f(\\beta)$$\n", "\n", "for some function $f$ (typically a norm like $|| \\cdot ||_p^p$). \n", "\n", "We will first describe the probabilistic interpretation of least-squares linear regression. Denote our response variable $Y$, and features are contained in the data matrix $X$. The standard linear model is:\n", "\n", "\\begin{equation}\n", "Y = X\\beta + \\epsilon\n", "\\end{equation}\n", "\n", "where $\\epsilon \\sim \\text{Normal}( {\\textbf 0}, \\sigma{\\textbf I })$. Simply, the observed $Y$ is a linear function of $X$ (with coefficients $\\beta$) plus some noise term. Our unknown to be determined is $\\beta$. We use the following property of Normal random variables:\n", "\n", "$$ \\mu' + \\text{Normal}( \\mu, \\sigma ) \\sim \\text{Normal}( \\mu' + \\mu , \\sigma ) $$\n", "\n", "to rewrite the above linear model as:\n", "$$\n", "\\begin{align}\n", "& Y = X\\beta + \\text{Normal}( {\\textbf 0}, \\sigma{\\textbf I }) \\\\\n", "& Y = \\text{Normal}( X\\beta , \\sigma{\\textbf I }) \\\\\n", "\\end{align}\n", "$$\n", "In probabilistic notation, denote $f_Y(y \\; | \\; \\beta )$ the probability distribution of $Y$, and recalling the density function for a Normal random variable (see [here](http://en.wikipedia.org/wiki/Normal_distribution) ):\n", "\n", "$$ f_Y( Y \\; |\\; \\beta, X) = L(\\beta|\\; X,Y)= \\frac{1}{\\sqrt{ 2\\pi\\sigma} } \\exp \\left( \\frac{1}{2\\sigma^2} (Y - X\\beta)^T(Y - X\\beta) \\right) $$\n", "\n", "This is the likelihood function for $\\beta$. Taking the $\\log$:\n", "\n", "$$ \\ell(\\beta) = K - c(Y - X\\beta)^T(Y - X\\beta) $$\n", "\n", "where $K$ and $c>0$ are constants. Maximum likelihood techniques wish to maximize this for $\\beta$, \n", "\n", "$$\\hat{ \\beta } = \\text{argmax}_{\\beta} \\;\\; - (Y - X\\beta)^T(Y - X\\beta) $$\n", "\n", "Equivalently we can *minimize the negative* of the above:\n", "\n", "$$\\hat{ \\beta } = \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) $$\n", "\n", "This is the familiar least-squares linear regression equation. Therefore we showed that the solution to a linear least-squares is the same as the maximum likelihood assuming Normal noise. Next we extend this to show how we can arrive at penalized linear regression by a suitable choice of prior on $\\beta$. \n", "\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pxcl7cMcCsRd" }, "source": [ "#### Penalized least-squares\n", "\n", "In the above, once we have the likelihood, we can include a prior distribution on $\\beta$ to derive to the equation for the posterior distribution:\n", "\n", "$$P( \\beta | Y, X ) = L(\\beta|\\;X,Y)p( \\beta )$$\n", "\n", "where $p(\\beta)$ is a prior on the elements of $\\beta$. What are some interesting priors? \n", "\n", "1\\. If we include *no explicit* prior term, we are actually including an uninformative prior, $P( \\beta ) \\propto 1$, think of it as uniform over all numbers. \n", "\n", "2\\. If we have reason to believe the elements of $\\beta$ are not too large, we can suppose that *a priori*:\n", "\n", "$$ \\beta \\sim \\text{Normal}({\\textbf 0 }, \\lambda {\\textbf I } ) $$\n", "\n", "The resulting posterior density function for $\\beta$ is *proportional to*:\n", "\n", "$$ \\exp \\left( \\frac{1}{2\\sigma^2} (Y - X\\beta)^T(Y - X\\beta) \\right) \\exp \\left( \\frac{1}{2\\lambda^2} \\beta^T\\beta \\right) $$\n", "\n", "and taking the $\\log$ of this, and combining and redefining constants, we arrive at:\n", "\n", "$$ \\ell(\\beta) \\propto K - (Y - X\\beta)^T(Y - X\\beta) - \\alpha \\beta^T\\beta $$\n", "\n", "we arrive at the function we wish to maximize (recall the point that maximizes the posterior distribution is the MAP, or *maximum a posterior*):\n", "\n", "$$\\hat{ \\beta } = \\text{argmax}_{\\beta} \\;\\; -(Y - X\\beta)^T(Y - X\\beta) - \\alpha \\;\\beta^T\\beta $$\n", "\n", "Equivalently, we can minimize the negative of the above, and rewriting $\\beta^T \\beta = ||\\beta||_2^2$:\n", "\n", "$$\\hat{ \\beta } = \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) + \\alpha \\;||\\beta||_2^2$$\n", "\n", "This above term is exactly Ridge Regression. Thus we can see that ridge regression corresponds to the MAP of a linear model with Normal errors and a Normal prior on $\\beta$.\n", "\n", "3\\. Similarly, if we assume a *Laplace* prior on $\\beta$, ie. \n", "\n", "$$ f_\\beta( \\beta) \\propto \\exp \\left(- \\lambda ||\\beta||_1 \\right)$$\n", "\n", "and following the same steps as above, we recover:\n", "\n", "$$\\hat{ \\beta } = \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) + \\alpha \\;||\\beta||_1$$\n", "\n", "which is LASSO regression. Some important notes about this equivalence. The sparsity that is a result of using a LASSO regularization is not a result of the prior assigning high probability to sparsity. Quite the opposite actually. It is the combination of the $|| \\cdot ||_1$ function and using the MAP that creates sparsity on $\\beta$: [purely a geometric argument](http://camdp.com/blogs/least-squares-regression-l1-penalty). The prior does contribute to an overall shrinking of the coefficients towards 0 though. An interesting discussion of this can be found in [2].\n", "\n", "For an example of Bayesian linear regression, see Chapter 4's example on financial losses." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "m6fFxaLFh30V" }, "source": [ "## References\n", "\n", "[1] Macro, . \"What is the relationship between sample size and the influence of prior on posterior?.\" 13 Jun 2013. StackOverflow, Online Posting to Cross-Validated. Web. 25 Apr. 2013.\n", "\n", "[2] Starck, J.-L., , et al. \"Sparsity and the Bayesian Perspective.\" Astronomy & Astrophysics. (2013): n. page. Print.\n", "\n", "[3] Kuleshov, Volodymyr, and Doina Precup. \"Algorithms for the multi-armed bandit problem.\" Journal of Machine Learning Research. (2000): 1-49. Print.\n", "\n", "[4] Gelman, Andrew. \"Prior distributions for variance parameters in hierarchical models.\" Bayesian Analysis. 1.3 (2006): 515-533. Print.\n", "\n", "[5] Gelman, Andrew, and Cosma R. Shalizi. \"Philosophy and the practice of Bayesian statistics.\" British Journal of Mathematical and Statistical Psychology. (2012): n. page. Web. 17 Apr. 2013.\n", "\n", "[6] James, Neufeld. \"Reddit's \"best\" comment scoring algorithm as a multi-armed bandit task.\" Simple ML Hacks. Blogger, 09 Apr 2013. Web. 25 Apr. 2013.\n", "\n", "[7] Oakley, J. E., Daneshkhah, A. and O’Hagan, A. Nonparametric elicitation using the roulette method. Submitted to Bayesian Analysis.\n", "\n", "[8] \"Eliciting priors from experts.\" 19 Jul 2010. StackOverflow, Online Posting to Cross-Validated. Web. 1 May. 2013. .\n", "\n", "[9] Taleb, Nassim Nicholas (2007), The Black Swan: The Impact of the Highly Improbable, Random House, ISBN 978-1400063512" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "RD-EgGMch30V", "outputId": "8637df03-bda2-4b7f-8cd3-d1b74ef2658d" }, "outputs": [ { "data": { "text/html": [ "\n", "" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()\n" ] } ], "metadata": { "colab": { "collapsed_sections": [ "NVFx5oT5h30M" ], "name": "Ch6_Priors_TFP.ipynb", "provenance": [], "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }