{ "cells": [ { "cell_type": "markdown", "id": "configured-prescription", "metadata": {}, "source": [ "\n", "# Classification" ] }, { "cell_type": "markdown", "id": "individual-capitol", "metadata": {}, "source": [ "In density estimation we estimate joint probability distributions from multivariate data sets to identify the inherent clustering. This is essentially unsupervised classification \n", "\n", "If we have labels for some of these data points (e.g., an object is tall, short, red, or blue) we can develop a relationship between the label and the properties of a source. This is supervised classification \n", "\n", "Classification, regression, and density estimation are all related. For example, the regression function $\\hat{y} = f(y|\\vec{x})$ is the best estimated value of $y$ given a value of $\\vec{x}$. In classification $y$ is categorical and $f(y|\\vec{x})$ the called the _discriminant function_\n", "\n", "- Using density estimation for classification is referred to as _generative classification_ (we have a full model of the density for each class or we have a model which describes how data could be generated from each class). \n", "\n", "- Classification that finds the decision boundary that separates classes is called _discriminative classification_ \n", "\n", "Both have their place in astrophysical classification." ] }, { "cell_type": "markdown", "id": "realistic-recruitment", "metadata": {}, "source": [ "### Classification loss: how well are we doing?\n", "\n", "The first question we need to address is how we score (defined the success of our classification)\n", "\n", "We can define a _loss function_. A zero-one loss function assigns a value of one for a misclassification and zero for a correct classification (i.e. we will want to minimize the loss).\n", "\n", "If $\\hat{y}$ is the best guess value of $y$, the classification loss, $L(y,\\widehat{y})$, is\n", "\n", " $$L(y,\\widehat{y}) = \\delta(y \\neq \\widehat{y})$$\n", "\n", "which means\n", "\n", "$\\begin{eqnarray} L(y,\\hat{y}) & = & \\left\\{ \\begin{array}{cl} 1 & \\mbox{if $y\\neq\\hat{y}$}, \\\\ 0 & \\mbox{otherwise.} \t \\end{array} \\right. \\end{eqnarray}$" ] }, { "cell_type": "markdown", "id": "floppy-cylinder", "metadata": {}, "source": [ "The expectation (mean) value of the loss $\\mathbb{E} \\left[ L(y,\\hat{y}) \\right] = p(y\\neq \\hat{y})$ is called the classification risk \n", "\n", "This is related to regression loss functions: $L(y, \\hat{y}) = (y - \\hat{y})^2$ and risk $\\mathbb{E}[(y - \\hat{y})^2]$.\n", "\n", "We can then define:\n", "\n", "> $ {\\rm completeness} = \\frac{\\rm true\\ positives}\n", " {\\rm true\\ positives + false\\ negatives}\n", "$\n", "\n", "> $ {\\rm contamination} = \\frac{\\rm false\\ positives}\n", " {\\rm true\\ positives + false\\ positives}\n", "$\n", "\n", "or\n", "\n", "> $ {\\rm true\\ positive\\ rate} = \\frac{\\rm true\\ positives}\n", " {\\rm true\\ positives + false\\ negatives}\n", "$\n", "\n", "> $ {\\rm false\\ positive\\ rate} = \\frac{\\rm false\\ positives}\n", " {\\rm true\\ negatives + false\\ positives}\n", "$" ] }, { "cell_type": "markdown", "id": "beginning-channels", "metadata": {}, "source": [ "### Comparing the performance of classifiers\n", "\n", "Best performance is a bit of a subjective topic (e.g. star-galaxy separation for correlation function studies or Galactic streams studies). We trade contamination as a function of completeness and this is science dependent.\n", "\n", "**ROC curves: Receiver Operating Characteristic curves**\n", "\n", "- Plot the true-positive vs the false-positive rate\n", "\n", "- Initially used to analyze radar results in WWII (a very productive era for statistics...).\n", "\n", "- One concern about ROC curves is that they are sensitive to the relative sample sizes (if there are many more background events than source events small false positive results can dominate a signal). For these cases we we can plot efficiency (1 - contamination) vs completeness" ] }, { "cell_type": "code", "execution_count": 1, "id": "integral-badge", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "from sklearn.naive_bayes import GaussianNB\n", "from sklearn.discriminant_analysis import (LinearDiscriminantAnalysis,\n", " QuadraticDiscriminantAnalysis)\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.svm import SVC\n", "from astroML.classification import GMMBayes\n", "\n", "from sklearn.metrics import roc_curve\n", "\n", "from astroML.utils import split_samples, completeness_contamination\n", "from astroML.datasets import fetch_rrlyrae_combined" ] }, { "cell_type": "markdown", "id": "according-coach", "metadata": {}, "source": [ "We will use the RR Lyrae dataset. We get the data here, and split it into training and testing sets,\n", "and then use the same sets for all the examples below." ] }, { "cell_type": "code", "execution_count": 2, "id": "furnished-highland", "metadata": {}, "outputs": [], "source": [ "#----------------------------------------------------------------------\n", "# get data and split into training & testing sets\n", "X, y = fetch_rrlyrae_combined()\n", "X = X[:, [1, 0, 2, 3]] # rearrange columns for better 1-color results\n", "(X_train, X_test), (y_train, y_test) = split_samples(X, y, [0.75, 0.25],\n", " random_state=0)\n", "\n", "N_tot = len(y)\n", "N_st = np.sum(y == 0)\n", "N_rr = N_tot - N_st\n", "N_train = len(y_train)\n", "N_test = len(y_test)\n", "N_plot = 5000 + N_rr" ] }, { "cell_type": "code", "execution_count": 3, "id": "equivalent-shopper", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GaussianNB\n", "LinearDiscriminantAnalysis\n", "QuadraticDiscriminantAnalysis\n", "LogisticRegression\n", "KNeighborsClassifier\n", "DecisionTreeClassifier\n", "GMMBayes\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#------------------------------------------------------------\n", "# Fit all the models to the training data\n", "def compute_models(*args):\n", " names = []\n", " probs = []\n", " for classifier, kwargs in args:\n", " print(classifier.__name__)\n", " clf = classifier(**kwargs)\n", " clf.fit(X_train, y_train)\n", " y_probs = clf.predict_proba(X_test)[:, 1]\n", "\n", " names.append(classifier.__name__)\n", " probs.append(y_probs)\n", "\n", " return names, probs\n", "\n", "\n", "names, probs = compute_models((GaussianNB, {}),\n", " (LinearDiscriminantAnalysis, {}),\n", " (QuadraticDiscriminantAnalysis, {}),\n", " (LogisticRegression,\n", " dict(class_weight='balanced')),\n", " (KNeighborsClassifier,\n", " dict(n_neighbors=10)),\n", " (DecisionTreeClassifier,\n", " dict(random_state=0, max_depth=12,\n", " criterion='entropy')),\n", " (GMMBayes, dict(n_components=3, tol=1E-5,\n", " covariance_type='full')))\n", "\n", "#------------------------------------------------------------\n", "# Plot ROC curves and completeness/efficiency\n", "fig = plt.figure(figsize=(10, 5))\n", "fig.subplots_adjust(left=0.1, right=0.95, bottom=0.15, top=0.9, wspace=0.25)\n", "\n", "\n", "# ax2 will show roc curves\n", "ax1 = plt.subplot(121)\n", "\n", "# ax1 will show completeness/efficiency\n", "ax2 = plt.subplot(122)\n", "\n", "labels = dict(GaussianNB='GNB',\n", " LinearDiscriminantAnalysis='LDA',\n", " QuadraticDiscriminantAnalysis='QDA',\n", " KNeighborsClassifier='KNN',\n", " DecisionTreeClassifier='DT',\n", " GMMBayes='GMMB',\n", " LogisticRegression='LR')\n", "\n", "thresholds = np.linspace(0, 1, 1001)[:-1]\n", "\n", "# iterate through and show results\n", "for name, y_prob in zip(names, probs):\n", " fpr, tpr, thresh = roc_curve(y_test, y_prob)\n", "\n", " # add (0, 0) as first point\n", " fpr = np.concatenate([[0], fpr])\n", " tpr = np.concatenate([[0], tpr])\n", "\n", " ax1.plot(fpr, tpr, label=labels[name])\n", "\n", " comp = np.zeros_like(thresholds)\n", " cont = np.zeros_like(thresholds)\n", " for i, t in enumerate(thresholds):\n", " y_pred = (y_prob >= t)\n", " comp[i], cont[i] = completeness_contamination(y_pred, y_test)\n", " ax2.plot(1 - cont, comp, label=labels[name])\n", "\n", "ax1.set_xlim(0, 0.04)\n", "ax1.set_ylim(0, 1.02)\n", "ax1.xaxis.set_major_locator(plt.MaxNLocator(5))\n", "ax1.set_xlabel('false positive rate')\n", "ax1.set_ylabel('true positive rate')\n", "ax1.legend(loc=4)\n", "\n", "ax2.set_xlabel('efficiency')\n", "ax2.set_ylabel('completeness')\n", "ax2.set_xlim(0, 1.0)\n", "ax2.set_ylim(0.2, 1.02)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "featured-cooking", "metadata": {}, "source": [ "## Linear and quadratic discriminant analysis\n", "\n", "Linear discriminant analysis (LDA) assumes the class distributions have identical\n", "covariances for all $k$ classes (all classes are a set of shifted Gaussians). The\n", "optimal classifier is derived from the log of the class\n", "posteriors \n", "\n", "$$g_k(\\vec{x}) = \\vec{x}^T \\Sigma^{-1} \\vec{\\mu_k} - \\frac{1}{2}\\vec{\\mu_k}^T \\Sigma^{-1} \\vec{\\mu_k} + \\log \\pi_k,\n", "$$\n", "\n", "with $\\vec{\\mu_k}$ the mean of class $k$ and $\\Sigma$ the covariance of the\n", "Gaussians. The class dependent covariances that would normally give rise to a quadratic dependence on\n", "$\\vec{x}$ cancel out if they are assumed to be constant. The Bayes classifier is, therefore, linear with respect to $\\vec{x}$.\n", "\n", "The discriminant boundary between classes is the line that minimizes\n", "the overlap between Gaussians\n", "\n", "$$ g_k(\\vec{x}) - g_\\ell(\\vec{x}) = \\vec{x}^T \\Sigma^{-1} (\\mu_k-\\mu_\\ell) - \\frac{1}{2}(\\mu_k - \\mu_\\ell)^T \\Sigma^{-1}(\\mu_k -\\mu_\\ell) + \\log (\\frac{\\pi_k}{\\pi_\\ell}) = 0. $$\n", "\n", "\n", "\n", "Relaxing the requirement that the covariances of the\n", "Gaussians are constant, the discriminant function\n", "becomes quadratic in $x$:\n", "\n", "$$ g(\\vec{x}) = -\\frac{1}{2} \\log | \\Sigma_k | - \\frac{1}{2}(\\vec{x}-\\mu_k)^T C^{-1}(\\vec{x}-\\mu_k) + \\log \\pi_k. $$\n", "\n", "This is sometimes known as _quadratic discriminant analysis_ (QDA)" ] }, { "cell_type": "code", "execution_count": 4, "id": "typical-mercury", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "completeness [0.48175182 0.67153285 0.67153285 0.67153285]\n", "contamination [0.85300668 0.80590717 0.80467091 0.80590717]\n" ] } ], "source": [ "#----------------------------------------------------------------------\n", "# perform LinearDiscriminantAnalysis\n", "classifiers = []\n", "predictions = []\n", "Ncolors = np.arange(1, X.shape[1] + 1)\n", "\n", "for nc in Ncolors:\n", " clf = LinearDiscriminantAnalysis()\n", " clf.fit(X_train[:, :nc], y_train)\n", " y_pred = clf.predict(X_test[:, :nc])\n", "\n", " classifiers.append(clf)\n", " predictions.append(y_pred)\n", "\n", "completeness, contamination = completeness_contamination(predictions, y_test)\n", "\n", "print(\"completeness\", completeness)\n", "print(\"contamination\", contamination)" ] }, { "cell_type": "code", "execution_count": 5, "id": "stupid-asian", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "completeness [0.48175182 0.68613139 0.73722628 0.78832117]\n", "contamination [0.85201794 0.79249448 0.77555556 0.75675676]\n" ] } ], "source": [ "# perform QuadraticDiscriminantAnalysis\n", "qclassifiers = []\n", "qpredictions = []\n", "\n", "for nc in Ncolors:\n", " qlf = QuadraticDiscriminantAnalysis()\n", " qlf.fit(X_train[:, :nc], y_train)\n", " qy_pred = qlf.predict(X_test[:, :nc])\n", "\n", " qclassifiers.append(qlf)\n", " qpredictions.append(qy_pred)\n", "\n", "qpredictions = np.array(qpredictions)\n", "\n", "qcompleteness, qcontamination = completeness_contamination(qpredictions, y_test)\n", "\n", "print(\"completeness\", qcompleteness)\n", "print(\"contamination\", qcontamination)" ] }, { "cell_type": "code", "execution_count": 6, "id": "nominated-encoding", "metadata": {}, "outputs": [ { "data": { "image/png": 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4Pd9iSLb/HCevle+Hlj+f++k9C7TsJsqefwNw6mEewJdr5F1BIFK+Ctj9bWvwerM5sDLLiMzrbgIuvDhx0s4sJzlJ14H+s8a+8+gUNCfztsOXJiGDJZnmBnPM5iSfnAfWDOJYClJdsiUPxBmZebwpcuPmKi/5esxcdzJYgMZokx1gmPs388WFjYxAnX5sGrKbYiotYV+gU+04TCAz2g0suQcqdx5krA/Y/10jLOsBPBl8X3MBnnRjJSr83Hgv1KK3QZWtZOrm9B+BokXQChZAgkOAO4OpQwDSegBy4ndQi9+RkDawm0SDBDH2FNMbbEqpAyLyptIfmYm/0Pd+h4A/qwLIrQbK1xAANz0JVb0RKqcaACCj3ZBd/8E033A7J5ol90ErWcL99F+gr+g7D9TfDJwwcJWd4zBvC1TNdsi+7zENEH9/CMiuAAZb6GcuvjwxupBRRPASCQMD5/ia6Sug6OsGm5HIU5nENGMii0ckk8esSp3+TGUmz202FudsJPFgEs7RAFXJvsI8XqoIUFYlo0YTjmf4irxaoGoDcOKR1IT/hH1V0HfbrWQ5oxzebC48G+8geAgMAXu+SVDozqCfHR9g1N7pZfRVdAKh4AA5H1UbmLo5/Ucgrw5acSMkOAy406CMBbV0HoUc+QVUw+1QlesmnCJg8KH0KJQd1L7Btnr1auzfv//NS5J9LUyM8KbSnEBOFSeQvnNA7Q4oTwak6wTQcwriMVYqZasgZ5/mAOg+YUQ4FB0FAAmPAQd/wJ17sy2mekYR0Hg3sPe7DNEFR4ALLwGlS4DBNmDgIh9+zcUHvHYHJ85ogK85XAQksSBTDb58hkbNydtcsWQUEpwAqcGJ5uZAjwU5APWwwUw3TDmSCF/6zEHHVOz3VGau7niy9jcA2PZlhqCTr8d0hMkrFuiJqSD7/s1r67sABIaSwEkqkCSJqyPTOo4aVTadQHY104UXdwEdR4DGu8nlCI9CRnsY6dLDgO4zwFSIDklzAml50KMRfsedR/nsbfsilDdp1ZOeR6A0gZNjO/tUOXeQHAulQamUY3/OZmgJviK7ksBz4AIwbws0Twb0/vP0FU4P3ytfzWiI0oC+s5y8AQIaABKLACb51pvNKgyA3/GS+4C93+HkFYtxP4ULuTruv2D5isEWoHozx0BkzPAVTj7G0QAjKU6fERFJ8hX+EgOcACnBieamr4oGADj4DCuHbYPk8SIzAydAijE7jZkkdAAJ4ES5AbHtywQfyb7CBEMp01NDqY9p+oqBS0A0kgROJllQDbVNfK3nJI873gNkVUApjZH3lr3AwjtIqo5FyC07/RjvjdNDXxENcjHq9AAZBdCjYXKYuk+QfF/cODEVk2b4ivTJi+eU0wPAM+F1+gp11UVg35IART/5CKt1AKB2O7SFd0AvXAgc+D5w5gnIkndYJWy9ZyGt+zjxjA9w4MZiJLFm5EMzygslapQG67pRbuzh//FVbQyAAlp2WSeSVUmnNdzOCbOgAapqI5n+LbvJ1h9qtUKoeszieCSX/Q53GiWqMYbwJly0bTBLlGmu9ALg4kvWa6YVLgG6Z5CmSWnTVAsAFjixR5b4xmUe02b+YqAvCaTYWfOxADBiOJOCBt7birV0Rp2HkRDVsbPozdC53QEONkMGmxliD4+RvFi2EvLUf08k0EWD/H/l+4CLu4GxbkjLbq6usquA6s1QLi9XSGefApSTJOyarVA51VAbPg4RgX72Gai0PKjSZTyVaJAVOMVLoHKq4oeT8X6mCHZ/Hcgqh1rxvld/X9+ipjc9Sd6JCKRqA7T6W6AXLeIKuOlJSFoulAif+MFLkI7DTN8E+o3nLgZUbgCySqGZJd7RIHkbsag1+Xmz6SuU4mckyVf4S7iQGunkZ/LmQ83bzFX0hRfJSwgNW+lg0a3oQLKvGGkn102PTu4r4lggxn1nVwPnnzU3sLYtWQl0HJzFHZ1FFSJggZNkXyGzBDqpLK3Akiswze4r9LB1DwsWEuCVrSYfpXU/eB3mNRifsfuKqM2fDV0il8mbRY5Mx2GotR+G/sz/TlwIRsN8Bla+nwuX7hOQjqPAgR9A/MVQ1ZsB0SGxCH0FHIDDCVW7AyqzNE5ulfMvMLpSziCmxCKQpiehCupJxjZvY2AQojmAPd9iumjNA6/+vl5Be8sBFBEduLQf5sCQ4Aik7SCjCnnzgaFWyEv/Cqz/BKMSDhegOSC+HKiNn4QE+qF6zjCsfughyLJ3s1Ko5zQfdlMPIRbm/8EhEh+3/TnQ3QSc/K11MkOtAHSgcCFUzkagcj2ReL9RoTncDtReDxz/NQcONAtoKC+Z/noIgCLBUo8w/VDQmMjxSGW9Z/hjT8+YYdBZgxN72HUyh6MmRmkSwMllWnJId9BwKA43ry08Mnn+vOcUgdrJh6fef1a5DaAY1+fJ4grM1KMAgNAwlFKQsjVc6aTlczKp2gj4S4Gmp8kv8viZAtKcgMcPbf513HX/BZauai4+p9Ub4+FbRAPA+echGQVxgIKhNuDSXkgsEgcoEhzi85tTbRwnSfdkzmZnLXus5yc0Cr3tEKvxChqAgWbIS/9CX+EvjpfqSloe1LqPQsYHoLpPQpQCXvkxZNHbocpWQHrPEhibkS/dWKUHBxmJ2/pFRmDN8mOAUZaRDiB3PlTlWoKe0W5GVSAEJgvvBEwSrcNtK0/2AYgZ0QvFiiCXD2jdSwKqneMBYAJw6L/AHzvx3PQbswInSIrSTuUrtMRxfSV8RfJ1mSkZhwtwZgChgSl8xUlW55x+dOpD5M0ngIEYOkk64MkmT82Xa4EWsxqoYg2rST1ZJPuWr+Y+zj5l8Iv8XABpTsDtJ/cEgAy3M7XncDOCXbU+vhgWPQo59yzgyYgDFIx2AS27IcHhOECRyDh9hb/4qvUV1zxAkWiIpMicKqgFNwMtLwPL3mWE1EIAdOD4b7mxL5eDuKCBX/xotzEB6lDhcaiMdKiMIkYq+s9DBpshpx6FDF4CqjcCZ54wSFwhwOsHFr8DaDvEunbRrTCpueLWjFRL71mIO5218K/8xHB0BmFWj/CzZg5WOQHoUJs/Aek+AZx+nA/mWI81OZuhXNOSSagOtyVGFwtZq4ZUYVDT/CW8H5NxW6bTBIBM8/5szOZoylcD7a/wOuz57VgYgJZYgeTO4ApnpNO6H8MdE3c/fwdw9lnjnGOJZdcmGDPDw6FRhlaH24DxfugvfIXkwPBIXPNAzdsCXNwFGbwIteQ+oP5WKE8G0HB74lXlzgNW/AnE4YZyOC1wApBfsuYBSMcR6C/8XxK4c2sYHckqt3biSmMkLnfepHnoOZvMhHy0jEKoxruBi7uAJfcATU8xOuHyAsd/w03TCzjO8+cTbI50wRQIVOExKF82VEYBkFHAyEpONeTcM1xF191MUGyG8l1pTO20v8KIpoKVFjIFvUxfMXAB4stm6ujILzg5aU5DqC1ijc9oyPJd6x7khHbsN0wbjPcCo8aYSI6gJPsKuzChmeox/cZkll7IyrjJxvuMfMU0vJgZmy1iU7KM9y08muQrIgACBj/MKIN2+YyqxB4r4mveM7vVXg+cf8YCNgMXEfdNpj81SfThMSCrDOgfAcIB6o34S3k+4VEACqpmK9BxBDLYQs5Z3U30FUnaJiqzFFh5P0RzQSmVwD9TmhNY+yCk4xj05/8Ras0DUFnlwMr7LfFAgM9Y4UIof3Ec+Fxtds0DFIjwQYyGgO6TRJbVm+gc3GlQleuZf4uGgJptUB4/lDcTEgtDzIoJpVhibNutyq0B0gsgL36VZaQLbgS2fI7M6NAoxOEiYClezHLC5pesQZdXz5WHuRrRIwwZ9p3jg14wnytwADjxO1g1/jqjI0UNkL3fQXyijozHGd2IjAKhJMJcMtlWwPSRWcZsOLKUVrKM/JycKoNXMwmp7oqBj5mYbRXUdw5Y82GuOJJXgrEgoHsZ1YoZpb+128kjuPA8r9tekggAUMBAi0G2NcBLYJBCXV3HJzrmnGqSXXtOA637+L5Z0qs0i+dTtRGqoB7SvBM4+gtI5Qao0mV0NPajFyxIVczM93KqyI0ySbFKTdDAUQ4X1PJ3T3Hv5mxKiwYJCPrOQs49QwDs9ADiZyowGuJP9WYoXxaUN4tCeN4sgmKlQVy+RF+RXQEsfw/kxa8AfeehGhz0FZoTiIyzku/MH/ld+rKZfja5GgWNQPsBy1dIDGjbz4k2Fk6MgBz5OTg+jZRD3gKmHA/+EHGl5vA4fzIMEKEnayEl+woBihYBnUemv3eFjfRFOfOYDpqMrP+6+grb9Q02A6veD5x/wRJRNC0WBGIuS7E7EiD4LKynzpVysPoobsY33HuaadqBC/x/pIPR7K6TE++lvxSqZiskvYCimzFYflc5+B0pjVGPnGpI6z7gxO8h5WugylYQZNjPIL9ucl+RVQ7pOcNKReM7Vvl1idtoDqgppAmuBrv2AYrTA2z9Aqfygz/ghFK1icjUJA9Wb4K8/DU+IJXroB/4AVTjncDmzwDP/E9u07IHkl/Lig0RolaPH5KWB4x2QsIBqNAI5OBvgLqbSZ7sZHkxxgcTB2pCmZyJ8BWw8A7WuQ+1MUoz2sWcpdNnaXF0HwOC/RbJM7Oc+wgPkyQXEkAfxQRzuJh3Hm6nszPBCUCAVNDAlIfdNDdTRoBt9WBcx2SqkYClmPiqLQUYspfvAlwBBvq4+kESQHF4GDb3ZFnlwpf2W3nn7AreD3My8GTT7+gxrjQ1F5BZDjV/O9N87SnC2cFBqIIFdCYAc9QON/UmfDlcjZvPWXo+tU0AoOVlSMvLwKZPszR1hqY13Aqpv/mqI7NdG6aAzZ+DpmnQDz5EYmPNNoIQY8xL7XWQnV/lM1N3A/QDP4RquIW+4qn/zt1cfBlSUE/5AdNXuHyQjGJg8CLD7HqU2jY126E86ZCOIwCMtIadSJpQ8WIbDw23Ma08eImr8JF2jjtvtkWW7z3DVbv5vGcUMYxvingpjWmFZNPcjBCNdhFM2MGJxFKnhTSXtaga6ba2BSaXEQDilSqv3pII9sBEXxEYZKQr1XhzeEiwd6VboKH9FQIVgCnToUs2X5FFX6EcTOUoF+Avgqq7DnD7SRtItvAIVG6N9V7xUvqt/nP08+l5MNtZKLuvaN1H/7L+TycsaKYybf51kNrtb2pfcW0DlLEeyDP/E1BOSF41Q/vp+QyZ2UxiMT60BQuYGx7rhpx/Dmi4k4Nf04CLOyFt+4G1H4bs/gakcj20uhsQX83v/Cpk4e0c/Ed+wQiK28/cbTRkcFk8DAPXbgP6moyJMJ2TuTsDWn4d9N4mVo9Ubzbq2hUwcD7xujzZAIy0w3DbxHyt3RxeHicW4QCb7GHtbzb+sIVE7cTaZO2BqVj7My0jTHYgdsso5ndhCqfFywRta4b5N/AeH/lF4vWXriagC/TRny97F3DyETrxuOga6Lgr15Fk6PRZoVg7a3+kjaA0ErBAo9MHtfoDkEiAKT8AqmQZxJXGktFn/ze/59xawOGCDFyMc0TUqg9AWg/wufBlJfaAmqHNxOGICKNEaQVQxYtmfYy3pA13AC/8E3R/Mb9nly9eVWWCTNEjhq+o5/Mz1g05/wJUYxYku8rgZRxmtcaWz0J2/QekdBm0htsR9xW7/gOy+G30FScehigQWAxcNPrhOPk86lHqNPWe4bPv8jLd4PBCK2yAPtxOX1G+hpGXSDDx+QYSeQWjXTznaDB1ib3Dw4iJHiaRPKFyx2b9RrTAnmq1p4eTfcVUukuTjf9kmwrk+PL4XsQ4BzOFZB8n87ZxwXDi94nnWrLcEFcb4He39D76g/5ziemv0S6oeVtJTHWk8hUKGO2AypsPiYa5cBxupc9f8yEqwRrASBUthkBBNdzOqBrAKIw3g/fW4Iio5e+FtB5ktMydPmUl32Q2U3AizTvJcTH5bVeJXdsARTdWI950TipbPjdh0ElkHDj6cyAwQO2J0AjDn33nSE4daQe8OVCL3gYJjULG+wCnB8rphj7cQdY1YKSMMih7fuAHQDhIUDJqRBKWvgto3sk0Q1ohULiYVSMi/Gw8VG9MwM07bWdpe8gyiknYsq7ACqXaS/LcGUZzwSASJvX0IspIA4ArgykhwAY4ZtHzwp3BFRokkUA3FZfFbpEpHFeyozX3add7aNlNp2OCE/M+dB5OPAeXl0AgWdMkMEDHp7lTOz9XWryMXLl8kPR8OvlYmD0p1jxgOYDChVCaA9J5nDn40W6S3yQKCfRDml+CKmygXHXtdqaaLtMkNAKMdE4I2SZYeAxy9lmu6uYAygxNOGZdXqhNn54A5iUaIgl1rJd5/vAYQetAM+T474HBi4AzDarxLlZSmU3cHB7oo91MrQAGAPECax4ADj1khOGjBhdCgMa7KPA43k/gUrYCuLSXK3uHh6kHwPJlZvQOAKMshqUVGD1ebGamdOyLA2caJ/SYQbg3zZcPjBtVg/ZeVvGFyzQVOHZz+uiLJZboK2YqZTAVyEnm3JkppLAtkty6z6hyNEGM4Su6Tyaeg9NLTlGyhUdJXHd6J/EVPs4bAJTTDcksIUCRCHDi91DrPmxxyow0rvSesTRSOg7x1IfbIa37oXKqoCrXQ9VsAWounx8i4XEuTPMXTCo3ILEwpOkpikdeZQDlzRv7mYn5cqgw6HACmgPK6YVyuKB3nYB+8CHo0TA1MQIDRLBFiyHdp/jA1N5gkU4bbiNh6fxzwNFfQW35HKR0FbDvuwxPZldxEjz4A+DQj4G8GotdbVrTk4x2BIcIPgqMySUyyoHbfYJ6GskOBUACaBjt5GBPeNsY7PYBWb3JWp37bWFBE5yYx341Fh4FIMZq73LK/mbh4OyO05VuHd8MgwIWUDGdUOUGYPG95P/0nLQ6UdvN1Cpx+1nRY+7blwO17J1AZhn0F/8ZMj5AotqCW3icwRbIc/8APTROsbX934e88hPgxG/5HWkalXyzyoGxPqDnNBtVvtqmZwCJ2Qd/CDGfzxSmPBlQq95PUu6czcxcPgIA5WT/HIcLeu9Z6Ad+CD0c4PM21ktBxbIV5B2NdQPzbyQ4AYCFt0EVLybH4JWfABv/jNV5+77HFXl2JdOHB38EHPwhUwcOj6UIDdA/DF5kZPX8c3wuAU6MsRDQewZyYeckbR5skcRxQwvF7ubNcWqPXJSvttIeWZW2z3dZf0dtC4PLsWiA48bhuUxfMRuzXa85niPj1ncEGL5CWeCkYh3Q+DamszoOJ5JJTTv3jKFPks5KGzM65c2GWvx2oHAh9Of/iTL1NduA+lsJKkfa6SuCwyzaOPRjNqw9+kvDVxj8k5x5TEN1n4R0nSQ38lWaND0BOfQQozCTmHK4oVZ/EGr5e1718a60XdsAZbyPZXuBQausC2CYr/c00PIyVGYJ1KZPQ626n6ShFe9jtMOs+fflQitkdEPNv47kpef/CXj+7618pNkSPb2AA7HnNBVj7Q2hAv0ELQBTNiYQcRsPuQhVAktXJk6kGcVATi3iE7TmTS31bJfGd6bzXIqXGvfBxj73ZF1WqHBKm1Y6P4VlV1vXbpqpWGk3Zaw6ylawOgZgRVHc7CBHAdnz+GdaPlR2JXDsl5TT1lyJzwBA4m+mQTwz5OfjYDA4Auk6SacUGICMdAI7/5Wh8fI13CYyDrzwj9QciAtfAVhyH1TdDVDzb+D/egRY/UGg7xzk6K+nuzPTmipfzUlvmgZ/Kq+WlSRzNjOLBIzWBbb0x/HfMh17/llq0Gz+DJ255oRa+k7qVZi+wu2HZjQUVTXbKSf/0r8Az/+DFS10uOkr/MX0Hz2ngLobElsYjNt9xQVrcjEnW80JaXqCRHf7M+DLJTHWdOvKYyxCkkCxXaPH4QFyKql9BCRGLj1+g9t1BW3WitOgQnbyeWhOIJkiavqKokareZ6dWJq8OMg3otYeP1TBAi4uLu4yCLFJPi27mmqxACNhvhxrf8Fh9sIx1KllrBfY+VVGUas3c5toEHjhK0yl9J6x9tt4F1TdjZxbNI3PxOoPGe0xfjKj2zOVqbKVJHeb5z7ZdjnVV2XD0Gs7xaM5iUoLG9g0y7SMIg58M3xvI00plw8y3m+hfVPGvr/Z6L/Rnkhiq1hHlvv+/+QE6nDzAfdkcgV/4QX6B5fLclLRMFGzK52Tbd+INcnnVkOr2Qz91GMsiXansVTRlKtOz7GqSyo3WY3B9IjBNwkDbp+hoaAm5m4nU08EmC/VL8OB8M4BZp+PmaSJJDaRSJtqZWWGa9tesfbbf856v2IdV7X953jvs0rZMTk9H9J3zgrl6hGjyslYCVZtIsCIR6x0oP0QQ+0ON7c1mfneHE5C3mwoXw7k0h7reiXG0lB3BvUl0nKhihdb4dTKdUzjxcJMEaXlTn9vpjGVV5sottR9EnL+eagl986KcDtnSeZwU8nZ7isyy4CeYUY+AIqwGaacHrYmMJ8Z4zvRhzsosjXWZ3vGhZGK0uXAvv9k+tXpAaCMbrlbjWgeAKfLNmYVt3WnE0z3nraiH1ll0Gq3Qz/3HIG0y8t+NGYX4LRsS9ixajNw0Ugb61FAeQGEuV9TbyVBtRWGKvMkZPdUvbBmbTOQ2QfoA5LLofUoJgAU01d0nUDcV9jBQPkaahb1nubckF3Kbuhp+ZC+85avkBjvpekry9aQUxZPrYvlKzQX+T8DRnTGk8moly8bKi2XVXfWSQPnX+TCtWQZ/UnpinhbC1Rvjpd0S0ZBajLvLE1lV3KhZp5531mKOzbeDZVZMsUnrw67tgFKRiErLE4/BqXH2OIegFr+LrK5/cUkOtoiHRIYoH5ERgEVFGNh6GceZ/VHLMTQ/4qPcBUz0smcdG8TULqcPXs8mQzftbzMSg4zbxkJ8LfmIrIODBBV99kGUPFS4OAPIOs+ymqNwoWQ9Dw6NNMcHmsgJeSeYfFIAoPm1UwT3UgSLjLBSbw8cIZgw3SyCoBulHXn1tDZJXNJTEvuWzHprs1zMc7D7WfKLjDA417aw23KVjGlZirj9jYB/sJE8mx+ndGwK0SRI/u1la3m931pD9TCO6D8xdBDowz3BgaBS3uh1n4YKruCIn3nnqPDiwYAPQaVUwlVuX7C6YvowFA7tJzKlC3MJ7PkPhtT2kgnq5GCg1fEqb1lzZXGktJo0OhWDKglbweG1gFZZZDwOJTb0puQwABTv55MRuNEp/Js60ECYbcfasMnAKeXYf9DP+Iip3QFVHoeGwru/y9G+ExfYbaBcHr5XI/1Wr7CXjlTugI4/DPImgeh1W6H5NVAvNmJ4m6a0wISbUm+QkxfYVuw2MHJdGaCE3N8zqT/Fz9gRZY1B6OauXUEcvb0s93GelK/npwinuAr0ukvTVXf1n28J8VLeX/PPsPtBi8SbNjPP7uSUdXw6MR7V7qCnMGLu6AW3EyfEAmwOic8BjTvhFr1Aai8WjZ4HOmkIFtoFNA0qIyilLojSmnQB5uh5VSz+eQMTUIjgEFfmNZGu+krAgPAmwCgXNspHoCN4ao3k4timHKlsTLj5a9Ddv07AEDG+6GfeRzy4j8DXSdYY645OdE1v2QR5jyZUBmFUGYXUeUAAv1QC26CqlhLIuTWL5CXYpLYsquM3hZBDkRfzsRKl5LlROmxCOTADyA9p6Fyq4ETDyeuHgabbVyLFBEHt9/ohpwiXWI35bBKac3QsWnxgTpTvoShxRIeN9JPOpsZxsHJJNUAM9p10jmERxiyNCaQ+PlGQxPLIYeN42eVAxs/ZW2nHDxHzWW1ImgzpKv9JZALL0BiEWieDGjVm6AabgU2fBLSvJMroraD3FfBfF53zylG0cA2CnLuWes8DvwQ2PcdrnJnesljvZAXvwI5/ruZfaBmG9TWL0LlzZ/xMeYshbm81DcpXRl/STm97EC89zuQl/6FmieBQehNT9NXtB2Eyp/PyaH/AitAzInTnUYRLF820yVGKljN2wxVvYlielu/QOBs+oqMIhJ1o0ECFU/mRF9R2BjvryOHHoJ0HuMq+ewzltQ9QFK4CSSSu3IDJIN6Mhh5ndKU0UPKxfSx3UxfMWNhNcNXRAKGXpMA/WcscJKycmgytY+Ju06w8BhQuozNV+PVRlH+tO61fU63eun4S+grPH4DsBl+3+4n2w8ZomsV9AnREJTLR19RdyOw6c8grfshHYepbyUx+iClgM7jlq848zj0M0/ET0N/5SfAvu8xej5Dk+AQ5MV/Zsn6DExVbYTa+gWqn78J7NqOoABQ3kyoBTeRHd17xpL+BUhm1XVIy15I84ts5JdZmrAKlYKFDN33X2Aor3oL9Jf+Fap8LQeZxJguGO2BfvRrZMkvvAPK5YH4sijaI8LVj3Lw7/FeC+2vuJ9VRB2vGCesAcFB8h8CQ1xxAeSNlCwHzj1tnb/Hb2uOp5HAiRiP+cL/Ne8AWOmTFJKVmFGBA4Ka5G6oM7/D3P+UhNcUzmvRPRShm1a0SSxZeYDneu5Zptmyynk/h9vYByfVZwEgPA4toxB6n1GuLTGrbNkEQBnFbN5opm/qbooLrimlAbEQUyl955jj9hcD2VVQI50s6XV6oA+1A20HIJ5MRtKaX7Qce2bZNNdpM3cakF1Jga/p7k7bIciF56GWv2/m+5+z1KY0aAtuYifilr1AxWqrSit3HnlJbQdZPTbWw2fA1phN8mq5uu45zWe29nrou/4dqniJ8bxFGamLBqE//0989upuhHJ6Id5Mjlunz5AV0Di0zE7lepS+4tgvLb0RQ0FWOo8TxJg+xJNJn3TGNtHZuyRDAQtu5PAoWwHs/DfrdQg4LSRJ0pvRlUkaU87wBsPyE5P4jFRAZ+EdwOknZpB+jhmViQbwcWcwUhoNEnhoDpLqe06n+KypED1CX3HiYev15E7I6UWMypjR2uCQVcFjqAlL13EKpZUs4YIxvw4qMg4JjwIuH3kqlxjREX8JG9F6s8mjSRJkm9KcXvqKnMppN5XO45CmJ6CWveuy5A3eCLvmAYp0HIWMtBMhDzRTfMlfRFKTcgDFiyCHfkhnU7yU/AEj9CWxCEluABALQa19gA/f+AD32XEEyCiCVn8z9Et7LbBw9JeQ7ErW1p95kumitDxOqqEROg/z4T73LFc3phOqv5Xpg66jFAaL98pR5LP4coCcGiohhsZgpWF05phDw1RKTK4MkEiSk7JZsH+WdzXZ0czATMlu047/KvV2qdqxezItgOL0WHn90V6mtez9hACrlYBpwSHox35r9fMwj2GWPgLsl2N2Ly5dxlUvuEKB0hjGrdwAXNrNFXZgAPLM/wKWvxvavK3c9twzLG2vvw0y3MYw6ng/ULQIKm8e9NOPkYxWuHDKW6VcaTNv2hUaYgrqcojKszCJhuncChuu3UhNNMjVa6Af6DkNlVkMZFdChtqYPqxcS65ZegFQuZGTj+krRIBd/87toiGode/nRDQ+ABnpNnoz5QELbyegMIm4J34HyanhMZueJkcpLZ/Pc2iEZOiW3dz2wvMcQ+bipvY6lh/3nIZ0H7fGgcMNnH2S4z2vDug6ykk0ngIRoHkXQce55wBPuhH5NMdydHJfMWsBxsvwFck+YLJeWU7PxMiQx29VJzo8FrAaH0jtKxI6qwMIj0E//luL52eei8MWkS5bYQGpwoXsSgwj1SIClVEIqdkOnH8OqrCRka5n/w+w+B3QVn8IAKCf/AN9T+OdfBYCA3wG8mqhihdBP/MEo2+2yH8qU04P1OoPTrlN3EIj9BUz1Z65TBM9CjnzBFRuDVRhw6va1zWf4pGWlzkYqzdDLbwjjnSl/RXmJBWg6m+FWnwPlDsNsvvrkDajJv3cs8wb+vIAdwbk8M/5MG76DNMHogOjXexgao69nGoOnAESNeM9fSrWGpU+hdTBKF4CQLMmTV8uP9d51JBdNnO8xldkkvECA1bvGaVI9DUreDSH0W47D9j4CZK77KZHqdHxam0muU7TNLcVQdA8ttedqQmjqUTeTGVMwCjVrObfJudGN8CXabkGgdTsZyIxoP0gr9+XC7X+Y/xuRLeY/BdegKreTEb9gpv5MdEptPXy16Gff4GRmvWfYOrNncaVkcsHGemEvufbdFYNt0EV1LEB4LYv89mq3UHHcPFlSMuemd+7GZiq2Q614y8TiHCviY12sTFh64HX9jhvpIXHyB0rWwlVf1t8JSsdR8gTCY9DNdwBteQeqIx8djS+xFSBNO/kd+zJBHw59BW+HGDLZznRSwwY74NqOwBlTtQ51ZwA+88a49/N57tiNX2FL5e+omw1AI1gF+Cz7vQA3cc5AZtRyLivGES8q3rbfo4ppRgdNidaAa8vPRdY+zGgYj0SUinRwBRRvxmmXADyxWZqygXASTKw3VcoR+pqolRpKzuPJdBHLhxggZJYONEHmmRzzY04mGo7yO08fmD9x42qSkWwBwAXX4aqWENfYeunJbu/AXnp36A3v0TS/rqPsTrI5aOvcKdBxnqh7/0Oe8PV3wJVtBiqehOw4y+hGm5niig0CjS/BLn48szv3QxMVa2Huu6vXvsFxvgAGxNe2jv9ttPYNR9BUUvvA4LD7GMy2EIk23ArVN1NXNnm1wH5dRRhu/AiQ/Nnn6YS5FgPADH0UPS4A1CxEGS0iwPY4SLZLTDE8G7D7cwFtx3gRNlxCChexZ4/Hj9w6lHI+edIoOo8ajQWzLb6BSVrWzg8BhEzArj8QGQEQIzaJoH+xNr+wCCw6G3AqUeBA99nPtqVRkfYd44Dzu23IgUT7xZmtMqxVzFNakZkx+TJxOvwHXRaJYvZSHEyK11JbofSeM6m43F4mVcebCa48PhJZHU4geIlUFUbIb5cakcULgT2fouTa/EyqJLFEHcaZM+3+V1dfMkiHioFkRi/p5e/DvGXGDoSXq5wzj0LSAwqXkFRAUAZ+f8qYOgSVPEiHj8aYj2T2wcpaoTs+RYnvdUfuiJVPMmmnJ7pN3q1x8iuAFZ9ILWWzLVivmyo1R8iP22kE/LcPwC1Owgw82qB/PlQSoNEgtSWcPshzbu42AkOAxDyrsQaQ0qPslFfRgkBSFYFJBZiFcfC24Hml1namlvDKEvJUj6Dvjzg1COQpqfpK9r2c+XrzeJxoiGLN2Ga0/QVUVtaVDghR8YTiemRUaDqVnLcDv2AxEmnh2XKfU0cc5N2t51FtZ5dC2pSMyvijG37DV+hXNQSKmiw0lqprHQFq3UETMsOG/dFc5HI3n+eKbqMAvociZHHU7WBC7r8OvqK/f/JzxYshCpfBfFkAHu/zX5qLbutKh6lyDup3kRQ4sk0osOKi54zTwAQKDOinlnGVE7HUWrkDLawEq92B32FHoXm8kKKF0N2f4MLnTUPENRcYXtdfEVGAUulr4CcxbUPUHw5Vk28rrPcc6QTqqgxQYlTggMcxL4cKjsOXeIDrlx8oGu2A6UrmBrKKIba+nnAnQ6lORkCbnqKpLTgEAeENxuqbDmkdR9UWi5zk9mVFN8JjULG+sgp6TiSOpRqmpn71JwGODEGs8sLNH4I2PN1vu9wA9BIyoqFCE7MJoAGh4Jhyw4rnTTxbmFyZrz9NecMuCOTOa8Y5es7jjLiE0uxXe58OpxIwDofTyaBQk4VtPJVkNx5dEZjvXTeY71A8TKuEvf/F7+LvjMEJ0oDOo9Aqjex4awehXL7IOmF/L7c2QSjL/xfyJbP857rETpXXzYZ+8oJVbWWzxPA89IjgB6FKlnCLqW+HOiBIaYFXWlQ277I+x8ztsudN809u7rNXtp8TZpyWN+R8b3JaDeUAlfChklolBEOt58pveF2o2LGSXBStREoX0UhvfR8Kli7fFAOF2S4A2h6hgA7OMK0s9MDVb2RkRpvNnkvORX0FeExLmRKljO6avbVSWVxXSa3AU6M8exwAiseBHYa6WpT0r5lDxdGw+0cIyIWmT8aJECfzFeYHdCT7t9EDslMgMwkiyKJkL7WfcIgz6Y4D3+5IWpnpml0+nCjSkUrXgTJ+hz9R3CYEczxPoKA7ArIKz/l4m2o1WgbwnJiqd7IMnI9Qt+aWcZ+ZN4MLgxf+Apky+fiYxsxo2S7aDF9Y+UGVmqZ1xejT1EFC4DNnwV82ZDwOKXulQPY8WXef9NXGK0x3qx2pXzdNQ9Q7KZyq4Gl90EO/5S9EOqNUL4eYxmxw8MH2ZVOmWKHG2rBTVyxQ7HV+f7/Ysiu5jqgZDFk3zcYkfCXAOVryQ4vWQ5VsQZy+OeAHmGorqgRKi0PsvkzwPP/xIc4uxLqxv8H8vLXufJyuPiAliyzdRo2wrYCrp5EOFEvuInOzTTTOZmrJFcGPxQZm9i5E4qprljUqBYwc5L6RMfzWnQjVYYgkdMHIJKYZzevxTwnE5gAnACKl5Ab1HsWKGL+VxruAE49Apx7mmXZWWV0UB3mPXQYzi7McuDr/wb6uWf5vTkMZ+42qiyO/BwoaoRWfyvvyPP/ZN3ngro42FXudKjtf2FdkhkZGe2E6FFD44IAWV33V6/ufs3Z624qsxRY8V7Ige9DIFCNdwEwfEXrPj43aTmcnMKjfMbqbwbKlhNgjHSy47jTyx4uFashL3+Hi4S0fGoktbwMFC2GqljLKoxYCGjdDyleQp7c5s8Cz/8jX08vhLrhv0H2fZdRVoeb46RoMUmfpgx+ZJzn5M3iOAsMAHU3skO3aWa6w4zWutI5MYdHLaKtdSfIuRHhws3kd5i9bqbzFbNpnZHSNENnxvCDZasYnY7vPmKBNl8uwUMkAMABFC/m99V7liTVtBzIknup4Nq8E5KWB5VVSrmIS8Y+lZO+IhKk3Px1fw29ZQ/Bi8PNxaTph4/9hpGZhjvYYHLnV4GWXdxNXi1T7TB4Itu+aN1Rw1fIaDe/Q182F7CeDKgdX36V9+vasrcEQBGze2d6ATkbxUuhikhUlLE+yO6vc0LRnFxBjFIjBSOdkOO/YaM5p5dRi5xqDvbmF4BzT1l5UD0GuDzA6g9BZVdCBlqI1AEO/PA4B8uFFzmQXRlANEQV0qxSoHgRcNao0DE7CHsyGSrb8y0ep2gxux1DAbu/CWvlkWKVEhm1mo6ZPTBM0yNANJqaHDtbKXZ3FuD1E9AlWzL7PfkYJt+k9WDi+0OG48wopNhV/HNRo5RYIKceYXl3/S3QKtdCDwwwZXPk51CrP8ioVnAQgGIXUD2aKExk3o+KdXTUgQFg7QPAS/8ODLZAbz8CVG+wCHL5C6ZVbgXAUP3Sd0LFeyslXXpgkKvp1yHUOmezNxnthgjIMfGXACXLoIyyUAkOU5bA4ebk7Epn6jKrjCvwk78HzvwRorm4iMmuBoZaIC27Kd4VT43qVA1d/SGorHL6mxFDUC0yzr4v4y7g/PNcRLjSAKVBzj7DMZFfZ/kKc/HhSgNWvZ/tN8LjTEuYImEHf2iNuVRRjsgYF0dOr1WGa5oeobZRIEkoDZi9r3ClEUQMt2FC1GQyX2H6NTNV1HEk8W0zXe3LTWqAGGNJrzcbcvJhoGwV1KK7oZUshT7Wx+/jxO+A5e9l1DVo3Kt1H4bSdWpaxXdl3I+SFQRAw23Aho8DL3+dXMPOo5Da63nfNSfTZDOpxMkup6+YpKeWBIcAhwfK9Woqp97cds0DFGndDznxewAGGbZqA9TSe633m3cChsqjqtpohTRHOiFdx4GuU+xcGYmRwR4cgtrxF9SoMMvVTF2NCy9Cla0moj/6c+5XuYCihUBWOUvJTPARHSeIMLuLlq1KbKIFEIEf+7VVoWFW/thNOYC1HyaIgSAhTaO0yas7THDiL+XxY1EgPJx625RmHCc8xB+7NdxG52Dnx0z2eWCinotyMEw+dAlwkizI1u86UH8LpannXwdRDuj7v8/va/AiAM3oBuuCWvV+frfREJQvC8rOwgegsiohOVVQFashoWFWabnTIRs+yRSNw8WqCnc61JbPpRRBkrE+IDQEZRLxAMipPzDPvf5PJwghSXAYsvNfgNx5UKveP/XtnbPX3yKBuC4Saq+Dqt0OteSe+NtycRefweLF5KVoTk6qY31Mz/Sc5gQWi3LSDwwA274EnPkj0zMAx6TmAppfgipZxmO+8hOCBs1D6YPcedReajc4WtEQEOnkgkePMN2TrBCdUUhfYVatNNt8RRycaHwuX/4aJvgKqMm7kJvgJL2A20dCs6zmMY4TGZ9YQbLgFqZY+ppSfjLh88BEEKM0FiCM9vD80wpINDYrIjMKoObfAFEa9AM/JEgcvGhEph2Mki+9D3JxDxAeYcQzqZRaZZVCsiuhqtYyRRQcYPpn06cZDXe4IWceZ7+3HV+e4GsAQAIDJEnbCKpy5klG0VY/AORWJ24fCUB2/ivgL4Za95Ep7+61bNc8QEFmKX9EqAYpOgd871muYvrPk19Qsw2AYl42s4QPduYNrFrwZgOL72EaIbcacuw3zHkWNrIL8roPM0wYGgPcPq50wmOMeDg9DEmWLIWat4XliBd3WasYhxuov5XCOY13smRwvJ+KlmZbc4cnUbMDGglUZoRgqNUgyBlsfQGY90ya+DUjLD3aZb0WHgM2fhwY6yehNNns+ikmgPJk2vRXUtipR9khdUozQVQqjosGNL/Iv4uXQPlLWLZbdwPQfgjScZSg7IV/Ms7LfIx1Q5Omm6ROp5eEZ6cHklHErqJ1N0KVrYAMXgQGLkIGLkKl50GKGgksOg1uzIKbgKO/AJSaVKFRjv4CGO4Atn4ByiC0qdx5VIFNRXBz+djJ9E2eX75mzWFUm+kxILuCYzUaZIovFqGvAKDmXwflcEMu7SMRMLMYqv5mSPsh8hCWvQc4+QfAXwScfpSTZ8kyYLgdat1HqYERHAK8WUz/hkYYoUvPp2/oPM4WCbEIGweaEQ2nB5h/G/lzS97B5pOhEZbhmmlIzc1IY9xXKEMvaZg+cKDZKPk3gIKZpkn2FcrJCh8z+gwwQrDhkwQnu78+8f4pNyA2HoweNsi6Uyx8zvxxovjbBJvCVwCc5AGmcQoaGDGZtxWq7yzklYeg1n4EePEr1j4AXnPVBnamzqsBPGmQpj9ClILk1gDHfgNVs5Wq4oOX2Bx04CKUOwNSdzNbbxhziKq7CXLidwBUSnACAHL8t/Tnmz4db0ehcqpYbJGKOO9wA4X1UNcyKX0Gds0DFJVZCrX+T+P/6yceZhkZhOh582cg0SCjLP4SOhRvDrsU114PtfkzgMMFOf88MNYDteQeyImH6VSCQxRKan6J3YozSyHDXaBgUBpQsgTK44c4XJRObjtoTbxAXGgJkXG2bO86QWXHWMQirSkHsOw+Vo288lOD0AYLnEiUTapE54M+/3rg5KN0rIULCUbG+1i6N9SSCE4A8i+e/XskhFzt4Va7uJv5WoLDSRZ1MixVQ8NUZjqczDKufKJhxFvCAxRpigRYznnuBYbTg4MEfQUNzKcHR/jZjCKGWwODkN4moGo9Wfzdp4yQuIqn5FTtdUDpckjLHpbDuf0Q26pQ6VFg/g2AO52AUSkbQdbYpnoLZLQzoT27KlnGlXEKUw7XjDqGylAbkJ43YSU3Z6+xaU5o6z8W/1c/8wQBg8n32PYlpmVPPw7JKARO/cHiSFVtgtr0Zxy3l/ZCRjuhFt5GvxEaAQYiwHgvQc3px4DMMlb3KMX9lyyHysgnfymvhqnc889Z56YcjI4EBoDhdujtrzCyGBknoNYN/tiit0EV1JHT0neelUOhYQuInPoDAEUeRe11HBfhUaCgkWNotMtIY19IBCcAo0Iv/CMSfIWdMC82kBP3Ffbo6mS+YoYikaavMCsYo0Hj+MbrDXfwXlzcBTTvguTXAqERgsDiJfQTkTES6tPygN4myFg3pK+JujYVa7nYa97Je2RGqOZthipsgLQfpviiJwtiv65oiFWhSmMKV2IJPZsAsLovs8wq2AAINCdRdFWag80op7slwx2ALwvKNd2C8M1p17wOSrKp9HyWmy16O9Syd5HsGIsQPPSfZ+mquZoIDVOJ1uUj+tVcVBJd8wCjL5ExYMm9rJwBOKCdxmo7Mg688hPI8d9R1trlhZjt0V0ZbGLozabj6T0LOfpLhnSbXwbaDxtIn9U6Km8+lFKsFtn6eWDF+8CvznAUZgTB7QeO/ornJTFOzIUNjCBNKc6TlA9OmQu2bZcgR21zOKbuiN282QBcFtl3MhtuJ3goWUYuDxSw7N3QXD6SykqWckU6fwcrI/wl0Fa8FxjppmPVnFDla6CW3MteG90noEZ7oDXeyZUfwJLRKvbLUZoDKr2AHAKlUVkT4Gqz8W7mkL2ZgAhk57+wnHDgIsTWtlwVL4I2/3pLbfQKmAy1QfZ8E3LykSu2z9fDRCTh51owlZbHtEbD7VDL3wPNnUYNk9b9QPdJRkh1Y3IMDkF5/EwT9p2nrxhoBpa/h89UoB9YeBfHNkCyrNNrRS+O/hxy+GeUInenW77C6QPy5gO+LE7GgxdJvu84zMhB6wFGLiCAwwVV1EAwXdhAX7Hq/fQPdg4KhMDqxO+MyIrOSpmiRkaPJ0v1AJjgKyYlzE/jK5y+iR/xZgNwJn0mhY20GwuwBjZGBSiClpZDf126gn245m0B0gugssqhLb2PC5uxHkY9ylZALX67IWdwGmq4DdrCO6wuxpXr2JEagFIa9a/6zgJQJB1DkYNUfxvJ8y4vxOWB7PwqZNfXoA+2QGyKtaqgHtqCm6zGgFfAZKyXfunYb67YPq82u+YjKMmmqjZAVW1IfM1fDKz9MFc7/RcA4eQIPQp9zzc5YYVHGbk48zgHd8lyApiCehJiW/cSHVeuZ8mxib5HuyA7/xXiy7aARGQUCDionaCcXK2YDqR4EZ1e1zEAGksdx/qgek5Bmp6kboHmBKAb4eUy9nbov0CAM4FVr8jnOP5b/u3wWAJn01lWBYHDdH02lJOrPnvnUNOCg0ZEJgWhLkEx0nBo4VGoqvWQCzuBwz+FDsV28AMtJCm37IVaeCeBYv58S5125ftZ1rn3u5QPL1sB5M6DjPdB1d3ANgdVGyeeevkaSHCIUY+MQvJbPH7oB3/IPkxFi3lukSDk4A/43dzw3+KgRKIhyEv/BmRXQFv2rvh+WU4+PCHqws+EIbv+Dcgsg7b83YlvpuUxrWUQM98Mdq0AkmRT5augylclvpaWC6z7KJ/PnlN8rpfcB2hO6Lu/SW0T01ecfZqTWMkSYKSI2j/jg5xgPZnA/OuA03+0Fg/jfZCX/g3i9VvCg9EABdoC/RxHg63WeMydxzHUfoggW4+xLHqo1QC4DxvRlSh9U1YlJ9PhLgq4JZBcde63aiPTU4DVHX0mZNiMEoMjM41GknICuVXknSS+QV+RrPRqWqrXg2NQlevot4/9GvqxX5Ok3n+BQornnoNa9DaCvcJ66z4vfSfTsHu+xT5Wqz4A5FQzUjr/OqDrGDlGyWdYvooSFcWLCIBcPihvFvQjv2BquHgp75UAOPgjSDQEXPeX8Uio6FHIS/8OpOVCs3HQRHQgMASVlsJX6DH6Cl8OtFUfSHzTm0kSd/41quyMt2AExW766cehn3iESDernIPdmwVs+QxXICcfoRhSyx6Gb1d+gNucfpRlwJ3HIPu/R3DiSmPI9OTDdCrKwVSRmS6JBq3VFGCUxgkwbyMnJaeP+zbF39IKAOiclHf9GySu3mjob3j8LFXsPEJuzKXdHMD27rdlKyiP3/S0NdEmgBOFCeaz5UOHWuONrRJ6NyRPSC5fIjjJSGKwO9xAzY6JTQk1l6WCa55L6XIjdWNzdAMXESf1SYxkxQsvsPKhZiu3ad0PnH2K27W/Aml+CXJhJ0mpkXFoS+5hyXevFQEBAFW9CVrDbYxQZZZCGd+PqtkGNf96YPHbgdUP8hoLG6Ea76JY11Ar9AM/IJ/AYb8O4xY1PckmXmYb9oSDGteegtuiXF5oS++bVg7/jbZrLVoynelnn4F+7Lf0Ff5irtw9GcCmT0MrWcIKnuE24MJOppTXPEA+StMTQNdJRigO/hi4+AIn24Y7WKYaGQegsfRYMzSXomFg4Z3WWDTVpsvXEEQ7fdxHZhk/k2aoIrt8wO5vQCLmRC4EJ640jpPOw8Dpx4GLLxo+yub+S1eyauj041SyBegr7FyWZHNnW3+PdlgNWd3p1vbJixt3RiI4iVew2Mi687YTwNlNKVsfIGPfJUuZxo4vcpTBEzL2JQK5tIcpm8FWwAQd7YfJk4MAHYfpKy7uhuz8KtRYD6MtAKTnTMLzrSrWQmu8i9FXfzGU4RNV9SYCmkV3A+s+RnCUNx9q4e3sszTSRV8x1E5NmuRxf/55yM5/Zu+eVKZN9C8AoBxuaEveMa0c/pvZrvkIisTCDP+bK14RyP7/5CAauAhEg5DWvcDie+IPJgBIJEhH4Upnp2KnFyq7HHrxEmvQh4a4yhjuoKM59Sg/bFYC5ddyFe70MP1z4vfA0ncyDZNZAmRXsOlgzTbIU38HQAh+zIdRaQaQ0VjB4y9huiI0xN9KJeqEABahzpcLdBqlc4G+xAfcX8pQZ6pUjukMAe6/+wwJb2bokwcxfhvlzcmM/tGkkuPMUq4i2w8B9kNKjOegOaEa74K0HWRFjFLxMm9oDvJqsipYQhkcglr2bkjxUkaeoKiUmVPN80groKO+8DxBZ1ZFvDxYTj3Klc6aB+NEVYmGUpb8quxK6tQAXPHt+DJXOi17ISNdfHb6zkIVLyFPybyk5peoQly1gV2sUzTlUg431OZPT7z3bwK7tgGJQERPSNnpB3/ESTowAAQG2R9r4Z3QDF0UgCtjREIsCW28k7oXmaXQS5ZzrPry6G/S8ynQFgsBpx4GIBbxM7scGIgSeIx2MeK57J3A4Z8DGflsTFm+Bsp1C/Qn/1+e09mnDAJ9lPsJDQNQ9BWZZSTABwcNdVmbgJl14vztyWI0COAY6rZV1GQUMeqTqlFfeND6W2nkzWguShhMEHw0ODChwcTXe5OqdzIKgfIV7B9kN11ndEZpjFi17IYqrCdoySrnYkppjIDk1lABNjgItfjtkPwFkJEORj8zClkxEwtzbPqyGenyF1OCIquUt6bpSaB1P9SKPwEMkb5JfYVRiKEAcuS2f4njpHUf+WQjnfQV+QugNn7Kuv2X9rHSsHoLj52CLKs0B9TGT068928Ru7YBiuiQ5/+RaDYefhdKwsfCUOv/lBU3fWeBY7+CeDIoK91xhFUjm/4MyuWDcvnYDdnpIbPbmHREj0JO/5GDeLSLaL5tP9Ugl72T5Fm78mMszGqZ0AgQzoJWvZn7iUUQd1a+bEPpsNFQUDQGdniMP6YYnMQmNtGydzd2pyeCjbFOAIolz748hpmByZnxxv2DJKWD3H4bILGHfu0li0nW1wS8ZHNE/jIgs5iA69QjbKaVM49E4dFO6jfMv549lAYuMP+bXQ4paDCiRxlQSkHMVuXKAa1idXzlJ6LzOv0lLEfuPgX95CMGv8UH+IspZd57htGlVR8gk9/4rDQ9BZWeD1W20roVwSE6m9OPUoVy2bvYDCu5lNggT6vceSRGu1OT12S8jyJe7ukqGK4Ou7aBiWEjXZCDP0osATdJj2sehFx4gc/myYfpKwoXWh2uN36Cixh3Op8thxuqcp3VdFJ0lqL6S8g/KVjIcexOh1p5P8mzgUHruKKz31doGHB6oM3bkvieKaA21s199ZxEfAya5bzl64DWPYx4nnwECePT3iHcmQaM2XrYjHXyd0EDz/f8s/x/UgVq45ySU8f2Umh7miiVCq1pQy3Ai/9s/Z9eCORUEUCcfJifyy4H+guob9VzmlyT1v1AbxOULxcqqwx60SL6QpeX/vvoL63Dl6+BqiQXTUQYxfEXMzLadxb6id+TjwOwmmukCzJwATj1GLD8PQkN8PSzz0C5M6Aq11q3IjQCGe7kPc+dB7Xqg/QTyTpK4VG2YckqJUCZpLWAjA8ADmc8uvtWsmsboEAxkmBnTisN2PwZTjhHfsYSwFiEOV+DCS2X9gKDlwzCWhqk5zR7b2hOiNMLtf1L3O7kIyTXOjzAmg9Tt6R1LxAeI68lqwLS30wiWUEDK0/GeuPcEP3gDynUVL0ZVthyOXDuaYZBG+4ECuqguo5DvFns8ZCK52F0yJXBFkuBdugSHU9CNY3Q6ZkCTlCcQENjZPvbQ6WpwIZyJmov5DcAQxfJA6lYY8hFd6T+rN1G2vhjZ6n3nOS9DAf4dywCbc2HCN6ad1LsKhZhmWRwiPLz1ZuAln1AZgn00ChF2kqWQpWvZtTGvOrW/bxvvhyo6s2Qvd9mRCtnHp8NF4l2MniJFVqjXRB/USJA2f1NIBaFargDyK3mc5QETgBAq78FMv96YLidqp/lq+MqpPF9RcaZi/YXs3HhVWqXA0re1EBGc0xYxaoNH2efriM/49iNBBJ9hTkxVqyF8mRABpoh+75HbQwoYMeXoTQHNS8uvszw/soPQOVWQy7tBiIBKH8RAXjvaa7y8+ZT0fVMXxwQ6K/8hNyFBTdbFX7lqwmY+88BdbcAJYuhOo9A0nKZqjHKomnG95JZClWylNWGHYbOyljHxK6+AK/XjKwAXJwEB1gWnND9OOXNTAQzBfVMs0TGmMYd6SJQm47fMtbNn0VvQ9wvdZ8kIAkOc1yHR6GtvJ++4tIe6Pv/i5GcgWYKPebWsFVJ8y4go4BVm0d+AVWwgLw0u69oe4Vpc48fqNlB5fCRDi42fNnxBYeMdEKO/ZbK0d6sRICy73s8t4bbobIrqRJrO4ZpqnYHff94H+Tl/yD3zBbFB7h4lV3/zkqdTW/OqOursWsboCgFbcPHIeExrqC7T0Kt/zgnpNFuDpjSZQQiZhqg5wwn/AU3xSMl8BdzgOnCCiAYK+WRLkYgYiFWkngy6IB8Rm6yci2Qngc58H2u/H25VkQlpwq4uAuix6DV7oAU1HM1YLK8YyFgrAvoPwsZaqX08or3EPBceAGAIuoebOHDrzSGS80S6YxioGwlJfyDA1Y6xx5VMRuJhZuNkj0Hr9VstmVa/kJGTbyZVtMudybQa3deGSTUpv4ieKxktciWvQRu7nSoinUQzck0mHIA6YV0ymM9RuuBdqrqHv4ppOkpaMvexe9AN4SXjv2auia+HAIUgCvb4Xbeh9Eu4MzjELO7tC+X3T0Nrof0nGHTt9FOYN4WCu7ZrWwFoMcSHNFkphwuSHo+Iy35CyZu4PBQF8forH0lTT/yC2CoDWrjJybVZJiJzRZovKmBiWnpBVDzr2N5cdshgkdvJiOag5fIQZq3mSF9gNU6GcXslG5+l2n83qHrgDeL4CQ0akQsSXrHeA+fD6c3Do5V6XIgPZ+NJaNBI8VplPnmVDM9GjRSucVLDMFH457HwuSANHWyZDYaphxCaNhKO2dXM73kL2Zko/s4I6mBPvqA8jWU8A8OWWTU8ST12LRcRnSiY7wWU0HXbvn1jPSm5Rqqz2Aa2lbRAm+2IfWQygxfYfYRM6+x9QCjGpoDWuV66E4fxzw0IK0A+tFf0Rem5zP9uvZBYKwL0vQktFXvh0SD9BXDbZS672/mYtMgzsvARaaMS5ZycXfuWfq0kQ5GxCvWxrke0neOHe9H2tlzpyLRJ6jSZZDgCLTKdZNco21bhwvizWbj2oKGiRtoTqB0OZT3ykdP9BO/J7je8PGrtkz52gYoACQ8Bnnxn62SPgBy+jHg0j5g5Z8wTG8r/ZKzTzFnaHvolDcLqN5MZOwvhH7yD8ClPWRQr/wTNiA89ShDegtutcKDAEHEvK2McCzIYoSj/QgHyubPxGWM1bJ3Ug5/z7eYG13zIDVU9v8nB7wI5NwLwPAlppTM8OmGTwGn/8gBFgtb5NL5O4Cjv6azWXAr9VdMlUlnmhWSHbzIiI7Jkk8AJ4az6DVKHkdspLqEyIyisFTnUaMDNKxwcHoB897Z1exp1LLHkMVXwGAzRa+Mcj5kVRgaczHm1/PryLUJB7hi9GYSwImQhT/UhrimQ99ZoPFuqFJLg0TOPcOJJafKEMbK5qqycj1bndu4BvHvfd1HoaWQqdbqbkzxdHEFLYMtJM/aCMrKnT6p5onSHCxxfC1MBPFKgsv6+FssamI3EciLX+Uiw5gc5ezTwIWdwLJ3QRXUJ/qK888CAxdZMWaY8mQANdvZlbZ8NfSmp9jeoqCe/Vj0CPd5+nGqIhfafIW/mFUlefOps9JxlD8jncCGT1q+YtHbgLobuPBx+YC1H4PyZVKRNhwAoJMcOthKAr43i+mODZ8Azj7L92JhghMAmLeZ1YnhMRL92w5xUQOwhNnpYuRjsCXRVySAE9NXGEDE3vrCrLQztyxfzYWguY3pK3x5TDtlVzKS3H7QEqAbugTkbGIECWCjPwCAzrYjRYvYK2i4k2PAnW6QjnVIeIyaMAAXcH3nKI5Zbi1C5Pzz9CG5tfRXnkx+pnw1VMPtid/7uefoN1d9ECp3HiMk9uur2Z6KUgzpOAzpaaKvcFqLB+Xy2igIiaaUgmq8M+V7r9pEnz6C9QbbNV/FI8Pt/BIyigCHB9J1jHobWWWMmoRHIS27GUqLBBliLVrELqIGyhc9ygc2s5Qkq24j35tVYa2uMopJhj31MFTbvvjxlcMNre4G9na4tIdCScOXOBgO/gjS9BT0SBBycQ+5ExLj+fWcYoVIZinP3+nlCkg5mBcebGZUYKCZ7cmTox5nnjQImgo481iitoACwYkn0yr/TSDMphpeSHyYi5cy5QMwevPC/2VI2Lpw/h7ro7MYbKbw1HArgYLHD5SvhQy0QH/p36EHhxjqNgdq7jxoK/+E1xAZJ6HY5YO25XMszR3p4L2v2gi17iNQi98BVbo8ESQ03s3qpfA4AWdwkNowXccnaJeoxe+AWv7elOBkKpOOo+wPEh6bfuPXwbRl74S29fMJDnA6m21FzrWoeQLAUGuOMQri8kE6TwLBUaZF/CWUpb/4MkvLYxESY/MXcBJs3c/7oUcZSc0qJ+DoPglAGG0IDQP9zfQVLh99gdFcDgCU5qSuTk4VVNsB8rOGjJX9oYcgpx+DHg1TXFCPAtEI/VVfE/kYWRUAdAKI/gvGccsJysd6CDB6Tk6MdJ59mhM3FHDuGSSgW6eT4MTjR7x6L1l1djoraLAR/x0EgfZzMMdioI8p14FmarwMNPO43iygbDUw2gt9579AH+9jufeq+/m5rHKW+PuLuAjLKoNypUHb9GfQVn+QafyxboKN9R+DWvQ2qIo1CQrRquF2Rk+CQ+zPFTLSRx1HkazhpBrvglr2bmh5NRPAyVQmnce5iEsQr3vjTFv0Nmjb/vyqjZ4Ab4EICsIBonPNwfSGEfJUaz9MvYuTj1CltLeJJMrgEOAvYkRk8CKk/zwntca7GbY8/jvmUEtXQGWVQZ77e4ZkqzZyksoo5oBMYapwIWS0h3ldVxon2NFOhi/1CJ1VNMTzNUOzFWsIUsaM1IzTw6hMxytA4WLAl0nw4s4wBMuMNEosbEyaQm5MwFZpE4vQQZrVP2Y0JqvSaNQndNJ5NdRgcPupy2KCGG8OVzemSQyIxaxuogBXWE4Pu7VmFLBvTUYBOSpZ5SS8te417wzbly+4yeL0FC/mOyvvB6LBuDx0/F4W1APrPgpkFNHRlC6feL8zCunIg4NQ87ZSOdbhmTB5iwG87OS3mZpa9i5qt6So1rkSJuN9kOaXoOZtSamp8qr3fwVTOW96sCK6NTYGLgBNfwTAZ1Cl5UBvepLRELuv8PpJ1u49QwDQeYx8CV82SZXFi4CFd1DW/Pl/5Jis3MiJNL0Qyh5BsVt+PSMU3ac5joKD9BWdxzi2zz8PmO0sTHXYkmUEKWaDTc0F5NUxHZQ3nxVuTh95FON9FkE+FuG+IVw8RIKIR0R0o7LIJN87fEAsYFXOAAQVefN5jk4f74/JVfPmJFbkSMwCgWYKKRbmMQoWsFXEUCuJ9EMtjGgc/zWLD/htADv/DXrNVi7yHG5DQsEci2MTUqcqt5o9iNLyOfZt3LL4Nul55AwFBihvX7qcRRHKkQBCRITnfxkyAGrx20mgTy+Y9WdnYhIcgpx/nlpfr9ExXm+7aiIoSqlblFKnlVJnlVJfTvH+nyqljiqlXlFK7VRKTTKykz5n5lPTco36fBARGytlVbWRiLm3iWHOrV+gZkdRI1F1Wh5XRF3HrT4t3SeBQz+CjPdaxNJoCGr+9VCr3h/ns0w4l8xSqPqb6QjDo3Rkbltu0ZfL8kC7jQ8wAmAy5EMjlNUHmAM9/nueQ8EChkrT862SQ7M6x5WeKKCkRyislF9vnHuAIGeohekfpQG12xklySyFtuTtjEB4soDF91rhX4BgSTmBRXcRxMUv1gHU3Qxt0d10Mq37gcFWaIvfDq1ijdF4DHSitdu5UnKlcbXk8gEnfg/pOQPlyYiDE7m4G/rBH0GPhqDv/Q7k8M8SVnPSfYodQM3/I+P8XtMLqTCZVQ4to8Cqwuptgr7vu5CmpyAvf40clFmacqe9JlySuHUZhMDu09NvO0O7nOjHdNu/nuDktfIV8QiBN9NWUaEoiAaQa1C5kRPj6ceALZ+hkmjefKj6WxildWcQrHQetXp9HfwRRcDMKFt4BGr+DVCr7mfPqFTXmFEAtfBOjuHIOMeWx494dNOXxVSIdfIEHdGglX6NBqxKv7Fe4Ngv+VpBvaGfksMJPjJukyfIM3yNLVriL7JSUbEA/ehQK/2K0kj0LF/N61/8Dt4jt58q2wm+opJ+of6WRIK8cgA12yjzkFcLtL8C9J6GtuQeaGXL2aYDoJ+ZtxXwZrL6zfQVZ/4I6TzKtKoxFqX1APQD34dEAvx96KEEgr/0nGF1jPl/LMLiAV8OK/iyyqCl58fF02SgGfre70LOPQN5+Wtc1M7SlMs36dxwRaznDH2FWShxDdhVEUFRSjkA/AeAGwG0AtinlPq9iJywbfZjEfmGsf1dAL4C4JZpd55VDuTWkODkL4Yc+zX7XhhhO5WWC7Xwdui9TUBolKS2Y78GhtsgRYsYOqzdAf2pv+P+YmHyLcLj0DKKoK94H7knbQeArV+E8mRA778AHP4Z1IKb4uhejv6C4GL1BznRh0dYPrj9zyFth6x+EaeNyElmOdMh/ecJaBweOpPwKFdUepSOJRqks3GlQy25l9yMQB/zp2M9Vgk0AMAAHuefBwbOJwqnZVeT9JpdTvXFSJBdTyUKfazHCFVjYn+Q3Fqo5e+FcqdDv2Skttx+Smwfegj6+WfpjAoWQOXP50TW8jJZ9U1P0YFFQtC2fZG7LFsB6W2CnH8BcuJ3kLKVUFWbIHu+yXB2aISOfqiNzjs0ArjTjVz/CyQ4r3mA5+HwkHzmL4Kce5aNH8tWAK0HuM1QKwl1+fVk+qdg2r/hVrmO4eyCFGTbWZgJIGT/fwIA1OoPzfgzs3n/tQYqr6mvcLjoK4oWUYX4lZ+QGGukDZU3C6rhFuj954CxPigBK/n6z0Hyaqn0Wb0J+jP/i/uLhYGKDex4nZYLWfkBpm06jwKbtlOFdKgNOPQjqHnbgPJVTBedfJi8kzUfNqKSA4Do0Lb9OaTzGPkSJctI5ASsyOdQK+JkdIebE7LDcPGRAKOaDje77i57F9NC0SAjxGPdjISMdpp32qh82cnIkN1XZFUwCuwvhlr8Noiu01fEQjxv02c1PW3/5nhvl74TypsJvfMYX3alAas+ABz5BfTmlwxfUR/v+iuX9tLfXgjRn4WGoW39PPdYuY5VU01PQ848Dhm8BFV3I31FNGz0ShulCrUeYRm3Nwt68y42KfSXQG34OM9DczJq682illHzS1yUXdoDtfL9TEkNXqR6dW5NfIF7VVnZSnKg8mqvyO70Qw8BoRGodR+9ou08ZmNXBUABsBbAWRE5DwBKqZ8CuBtA3OmIiE2NDOmYIQ1QZZYwXHdpHyfnyvUJ5Kj4dus/BuhRdimt2sg+FYaz1XUbmUhp8X4ZAKAV1DNFMNIJePxMKRz6CVchsQjLxwCuyqJBVlbU3ww5+ksok7SbVwsc/w2dlzuT4KV0KQGKqXlgEt38JUDDrXR4UJyoX/kxcPZJ64YsuBUozWKkJbfG6vYJnekkM7JiLys0K3J6z7Ck1p4n7T7J0G9oOJHZrzTg/HOQWBSih+kMAJYsx1u6A2jdB23F+3it4/3Ujskqpyz46UcB6NCP/BwoXgZ0HoUqWw403gXs+Qbz/qf+YHR8rSO51ZsFffNn6HSjIUpKm3lUfzFEhOQyzQG19F6u/o/8wlhdhow0WoyExOKlDO/m1VgRtqvIlMOVSLq+DEsADdGgFSmY6Wdm+N7rFEV5zXyF2c9J2g4CtdezQsNGujZNrf0wI6buNEjVemOc2jYw+/NAARWroZlVffm1kIbbSGj35fJ+HfwRx2EszPL30CjHeDQEpWlAw22QV37MHkAAUylHf2m03MgiCCpdYaVmoRgtDgwy3Tz/eqjMEn56pBM49CPgwosQ7OT2NduNcuXHGFlp2W3eRVYOmWldu68wS4/7z5HUb+9s3neWaZ3QUGL0xPQVoVGI083GfQAjt/bOyBdfIvcMRoHDyUdYXbXwDkoAKA36kV8yddZ1gmBy6X3Arn8zfMWjrHbKroBa8yEoXw5k82fjPYckEuQCDwAyS+LCfEqpOHFdP/ZbjpNY2Eq5V26g0Fp6Pisur0ZfoTkuK/U0qUWC0/Rleu3tagEoZQAu2f5vBTChRksp9UkAnwfgBnBdqh0ppT4K4KMAUFnJEKg07wRGuylf3nBbyhNQLh8kGoS+99tQeXXAdX8VR42apkG//m8ZLm07wNV99WYCg8IGlmrl1UIpBV0UkFMBeLKI8AdbABFoy94ZnzhRvJiTTixC4GSW4Ll8QNjwrcM24aSMQqh1H4Ec/TXLfI/9BmrLZ5kl1hyQZP9rVuxklhqlfhpDz+FhOo7cWg5ik7xqN83JbVzpBq+lBxBldE82zOzRUbacLccv7uTr7nT2qWk7CGnZQ30VXzYJbuZ9TsulQ0kvgDi85LiYTnG0l7oConMFFIswZXXqUSC3JqHXjebLhoz1QA7+0NJVyKvjvrIqqFxrmHQcIYcmowRaw20QewVPeh5B0+5vAnk17MtxjVhKwLDuT2e3/TTvvwG8kyvmK4ztEvyFXHwJGGrlIqTh1tSfcXogSoO+73tAVjnUjr9K4CloN/wt9FOPcWFw/nno868DDv+UqaIBygIozcF7l1NFYFSzFRIY4IrVAPNKKUbObvhv7LNzaR85caJbStaAJboIsHx+7YOQ00+Qt3H8N1Dbv0RfEfDE+VZxRNV2kJN3VgX5LcrwFaFhjvmceUBoHPD4rIqa+I1wGGJoRmp2tAuAlgRM3ACijA4Pt1lcEoeHvqLzGOT8i1xseDIYLYl/NJ090bxZEH8RF0fmAmm0i3pFkXEjWhQisDvzONPSK++3vg+vHxIcgOz9DgsgAoOsEGw7yIWSvZqn5zT5db48aAtugtTdYPMV+QRYu7/B73DdR1M+H9eKaWsftOasN+oc3rAjX4aJyH+ISC2AvwDwN5Ns8y0RWS0iqwvycqGP9VL3Ij0/ruo4qUXDwHAnZLRrQkhL0zTmmQsa6Hi6T3KQjHQCwx0U7olFgJ1f5faLKM6lLb0P2jLmWxO+6OAw5NBDDOc63Jxk132Mmge5NYDHQOhOH4/TcRSo3ghAAQ6XNTH4izn4YVTNFDRYuenhdiPvrbNBoWn954Al9yRW/pSu5AS/8n4CGD1GHRbRASQpzS68jUSz/HoCEDOvqjmhaU5qBix6G3PhI+02ghtNFS9hLtbto5PTXAA05rqhGKruO8NUUedRAp9Fd2OC+Ut47VkV/B6cBmEuOa+fVWYQAqPG95D02HszgbIV1KK4AibhMTrON8Cm45copSaQ/qbaPtX70712NZBlZ+IrjO0sf5Gfy2fPk8mKsqlMj7KSbKQjpQNXdTdwIdK2n8/wcAd/jM+I6JCX/pUiY0vvBQBoi+6GtvJPJnxHCI9BDv2YvkJ0Vpus+yhD+dlVFl/GlQYE+iCX9rNpqdLYVdkEJen5TA1pBkk8u4pEeIBlvOFRix9n2sAFYNm9PG/TChcl+gooS3Qtubtx/U30FcWLOM78hrih5qCvKF1OiYXIGNNLSdwOVdQIlVXGMau5jMpBm/DZeD85F650LvScXvbPSrb0Al57bg19hdIIVnKqEzYTf4lR9szI0QRf4fIBZasSRBxfjUl4nGXQV6m9keAEuHoiKG0A7LNKufHaZPZTAF+f4n3aaBdw5glGTWysZgmNAsPtUEl5feXNhGz5LHDyD+SEFDWyO6gepWSx0wssuJEKoqXL2Z3U4TFY6G4AYpSk8UvVTz4CaC5o9TcnHEeG2ii9PE6VQ6YtMvmmwZ8QEcDkXkQDzHH7sqE33gWc+B1TR2s/QhLp0vugN4aAI79i+LViPc/B4WZeON0ov7OHacd72YjQmcPzGLrE18IjHMB285dyRRUe5Yqj9wxXW60HeM0ZhXQQxUute5ldAdn6BQpeTVIdozk9kB1/AYGC0mM8n/pbeW9EZ7jy0h6WQ4fHoB//HVTdjSzZBqxrP/MEz6NsFbQUnT219HzIji9PKBeMn6vmJKC6AiYi7G7s9EBt+dwV2edsjv167y95m9cBnLw2vgIAxgeo+muTFJfIOKMeBfUJzlq5fJDNnwNO/QFy/gWgbAVkuINp25xKlm7OvxGSlg9VuoL+wuFmVNDkhSiFuK848zgQDUNL0ryQkS5LxTa7CmrBzYxCAuRumNtVrKHqaWQcyKuF5i+EvuRe4MjP+Tyu/QgJ3UvugTRGIMd+w6hiZinPwexy7svj5Gzv7zXczonfk83zCPTTR4THEqM3AH1NNMDPpxcQuLQdsPmKIvoKW/WS8hdBtv450H4QahL+hFIae9wA9MeuNGDBTZATj9D/Fi3mwtGdDsQi0Pf/F/VIcqvj35dacg/k/PMQiQEly6EVL5pwHM2bCdn+F8Z3k+I8NMcV1SWR3d/g+W//izccDFyNdrUAlH0A6pRS80Bn824A77VvoJSqExGzocvtAJownTm9UHk18b4LejRI3Y/Tf2TqY80DUDYELdEQ8/M9p6k82NsE9J1lMLR6E51DegFQu4Ohvn3fBYqXQJvPCLJEAgwfak466s6jdEr1N0Pvb2ZKqHItlDuDoMDpA5bcS2KTzaR1P4lwK97HgZeWS3By6jEy3DU3a/tDJNrq+/+LOd3xHkYKnG6odR+l4+w5yUhIRiGw4GaCFHc6tJKlQMlS6C/8Xx40t4YkNAHiJYamjbQbqxcHOS9DxnxgasOYOenBZk7Q+74LuDOoV1K7PfHa9BgVWc1S3/F+qIGLkNwaYPfXoWq2xVuRS/95tjdvvBMYvMTw9lArIyLm/syyP18uc+LZlfF9SzRMQqDmmNDkS6LBeBv0V2P6qceAvnNQ6z7MXixKQQobDMD62tuVFlabKb/kDQAmpr02vgKgvzDC/Xo0zIn67DNA6z6mXQrq45tK1Kge6z7FCp2RDqDrOEeN0d5ApeWwF1QkwPRCfh20enJ1RY+xQs9t7KfzOPlUC+9gY7v936cQZGYJQYHDAyx+uwVOzPPoOAI58wRFAQsWAmUroWWWQD/7NJWaHR76muAg4E6Dfugn9B2BXo5nh5spoUv7KV0Q6Ge6ZvE9BDsON1TpMqiyFdBf+ncAOiM3Ix0EW8l9dca6jO67Tp63qY3kNrRhek/Txw5d5H0+8H0AIMHY7ExuXptR9h0fu4FBqL6zkPx6YM+3oCrXQVvOtK8MXoIMt3ExOt5PX5E7j40B7fuMRcmRGbwIyauBMttcxMKAmsRXRIJxkbxXY/rZp4HOY1BrHrR8fmE9r3EOnKS0qwKgiEhUKfUpAI+DuYrvichxpdT/ALBfRH4P4FNKqRvAfrgDAKYnC6TlWk2hYhHguX9g6mLJPUwvmOFGABIY5EqjaBF7Hrh8wGALxJcDiA5VsgxiNPNSvmyGeM2KEtOcXqja7RCnl5VAi97OXjsAc9DRINUdV32A4cjhDqD3DPShNkZRTOGg8DjJcsMdZNHn1zFPOnCRqxN3BtTaj0Ol5XH7gYuWk3B6gQsvQAYvseFeyVKmci7tA9oPQjMrXAxTNduA8DhUzVboo53AwCUQnDiQkNrRI3Ro6fnAWA9icKHj1AmUVQ9ycM3bStE7PUJ+S2CQ3B+AA9BodS6HHjJUdD8H5fJSVbO3CVj0diA0yiZbsTA7/ubWQK01QtAZhQQmGVboXYZaIZ0n2OMEAJpf4ndaspT9bl78KpBTFc/pxy/l7DOs+Fnz4KRlnjO28CijTrp1rzQjGiPD7Zb2whW010Ltdab8kuS0TvLfrzVQec18BUAOBIyJ8fl/4Mp28T1cTdtKeiU8Btn5VUY/N/0ZU4vDnRCXDxCBKl3Bcnc9RkAhOsdzyEqdKM0BzL8OohzQj/0GqL8FKqucAPeVH3OcD7VALbwN0nOKlTGDLdAvvEhfYU6ikQDH3Wg3cOE5nmfVBvoZQz5Abfq0pSPUd9YqKdacwIXnIX1ngYZbOVmOdnM8XdwFzaxwMc953hbIeB9U7Q4er7cJcWKufUFjEmv9pcBIO0TzoO30KZRVDUNphq8IDhHkBUeAyBjk3LOAKw0SGo6rNsuRX/AYmz9DVe0LzzNy6/IBoRF2FTc6DKvsCpKXAS6a0gvibUkAjkXpOcMu5wDQshuSng9VsRYSC0Ne+Gcgo8CqADQ/1/wSdW5WvX/S6M6MLTzGZ8DWnFVruJ3HGekEfNlXZNF0LdlVAVAAQEQeBfBo0mv/zfb3Zy57392nIN5MOqBoiITWkqWJGznc5Kmk51q1795MYLiN+ib+YujP/m9W8Wz/C4KUHV9OVC5VCqjdAXQeh3Q8Box0QW38BN/MqWbKafl7ud3K95NVfughOo2q9fE0lKrZSr6JKaSUVcHoTk4VVySVGyxwAnCVMNRmKCkGWK54cRew7ztc4Wz+HFM4xv6l/wKvI6cqsaLJXwrEooxGFNRTN8HhA3IqufIpboRafA8kFsWu//VhPPvjn+Bt99+JpZvWUT56uA2qegvOjeXD3fICyiPjBEzREFCzndftywWGLkEu7qLMfd1NkOwq5p7zaoDWvRAIVOOdXHm+8hNKjFdvStAQiDdwzJvPaoZokDLi+fUMmitDEyYtUeANIMCUtFyr8udVmFpyLwGsTQobgNU0rmwVVCr+zOtoVwKcTAdMZnKcK2Wvqa/obWKawJvFTrO51RMreTQnn6u0PKtbsTeLaeN5W6GyK6C/8BVGIHb8Jcme2780IcWo5m0Bes9CzvwRGGyB2mycdm4tCakrGUnUlr+HndOP/pppmfLV8SiiqlwHlK+C0pyECP4iLsYySznmK9Ymihzm13Gs+ot5fgULgUu7gb3f4fubPs2yYqNKRQZbWN2YW8NIinmfMkusNE5BPSuLlItdxDuPAPkLoFa8FxKLYt+/fA5//PYPcOt9N2HNdZu5oBq8CFRtwMVQIXD6j6iKjBt9xIYgNdtY7ZiWCyhFocL6W6Bqr4NkFJHcavQnEolRXiEWhhz6MVRONVTt9gQOkfQ3Q/Z/z+D2ZRoSDQFLUFM5gIz8BBpA3LxZiRpar8K0xrsgDbclzBkAwYm8/DWgeDGUXR9mzq4egPJamQSHuCLxlzCa4s1KaHEfr+CoWDNhxYDAAPOvo90c2GWrEp1Mz2lIcCjecCq+z4J6o9LFhpSXvzthG6UUB8bid0DGehiKtb9vpony5nNCvfCiVS6cRMBU829guZ8eo55B+mZrlZS/ANj3XTq0wAD0J/9fmGWm4k6HWvG+OKcDhQsZ3ShYAK10KfTWfXQkmcUEKN5srgabX0TNdfegvW0A5VveDgSbCGycaYgefwQPfeEjSM9Ix+f/6W+BhtuosxANsfV57TZI+yF2++07z/0Pt/O43kzqTpih9EiQqR1PxkTxfX8xm/FVrCPLf/c3GEbe803Ixk9CGWmuVKbKVs6a5Kbv+TagRyeuKs3vMdnSC3gtl6FOm2wiwmhUeoF1b2bwmdm+P9M0zhsNUF4zE4Ec/BGQlgNVtYmpUptCsIRGILu+BpQsgZbchTo4xGd6pJPEzrKVkEjAAq59Z4HRbkj15kQuS/58iIu8CdO0FCRPpTmBhXdAylfHIz0J7wHssu3LYWVg84t8LRKIl9ICgJp/PSMyEmNKt2qTJXaYWwsceoh6KHoM+hP/T5zHJk4fsPzd0AzROhTUE2jkVEMrWQq94zCjHT4jBWUAN3XxJVRvvh0LzrSgasc9QOQ8x7s7A3L6cfz4s58EAPzlV/8WWHgH20bEIkwtVW+BtOylJtVgC8FjYMDQZfFRpdosq42G6Ss0x0RfkWGMxbIVgL8Esus/6Gv2fgey8VP0FWseTPFAAKp4MZShaj1T0w/8gOrVGz45YeGSDE7i96p48eSqwrM0ufgy4PHP+ryvRrvmAYryZpFM5c2BHPk50z5FdnKU4qTbdRxStioePQHAh3/rF+JOSltwU8K+pekpsshLV8ZzlBIagRrrA7Z+jj07+s5NHRp0pwH7fkdVw01/ZqmmRkPU/2h/hVyUkmVAYIgibBdf4orN44dc3MXBuvETrPRJK4BWupx8m1OPEagojT9mKsjoQYTQKKTpSajVH4S07Lbk9YND7PJcdwPbyZ9/nuBstAdy4EfAwHmU5dXi3f/4TajMUuoS9DUBkXE4oqO47T13wZuezr467YdYtlewgOq8Hj+w9fNsR3/oIYaul9zLCb16MzS3FdVQaTlU9k2R/1XeLIg3m03+Moqo8OtwTUpue9Wm1KQk25Sbu9OhkkDpbC0OCEz1YLOr9gw+M9P3Lzd6Mt3vN6UpBdVwK8TjZ3rBlQZVkhQ9gZB3Ur4GypZCUHk1wNYvxsGDqt2eMFHKuWcZYSlZavTIYqoII11QWz7D8d7bxAXJZARNdxrk9GOQ0S5g/Z9aXZVjEWoLte7jWCpq5KJqvJ+vef0Qfyl5bU4PqwV7m6iaWrYcojTg+G8tTonSjOZ6wohDLMyS5jNPAOs/xk6+x3/DkxrtBirWEPi4M5hmKlnOFMzBh4C+JhRmVeA9f/81RpZO/I58m/Ao4HDhtve9g2Bpxfu4COp4hdyRshX0qVs+x6rFo79k5eSit5HEXLUBmifTujeejLhfmXjf0iHp+bz+9AL6CqOR4GtiSmE2BbLK6b1ikROJhvgs+LLnAMqbxVT1ZmZJXfcnKiKCk6BUreckPNJB+WfDZLgDGGqFlK+e4DREdGDxPVDRRAKVHP8d0HsGasMngYu7GC1Y/UHqfuz/L5bVzdtibR8JkljrcBKsmK+fe4bgxJ3OBy49n11/lQYZ/RHfz65kGBfgoG47QG0V/S6o0pU89lAbsOQeaAULqHC7/z/JwM+pZT60/wL0lj0k3vpLmBap2sR9ZpZC1WyHjPcZLdIPGEqUTmCkE7L7G5BVH4C29F7IcAfkxO+B0hVYdWs6m5Ud+hHvQ3ZFfGIV0cnNOPkI0z4Va6GKGsmVSfXdeTIgfWehn3iYTb6MFZyIEPhEw0BgANqOCYrnV9Q0M7/9Opl9olceP2T5+yhvPsPPzOa9ybabKd/kmgAnhqnK9fQVq9IIeO3vefzsat70BMnado7DaDef+Yo1E/YporPTdmg4MSJz6jGg8wi5E53HIC27oZa/B5JTTcXfgnpo86+Pb6/HolYPHXul0YUXCURcaZDzzwHtr5Bb5k6DHOimKmpurc1XVHP7MAXiVMliSOs+Rl8b74JWvJgKt3u+ReJ9djUBynAbfYXDzXRweq5RMQhG9+ZfR1+RnscGhE4vwU5oBLL325Cl74TWeDekapOh6L0Uy3y5XDgd+D4Xg+kF8T5cIjrv6/HfAPO2UJ5giklXudMhgy3Qj/4KquG2xGhj+yH6u9EeqB1fnhDZuJJm12B5vU05PVTxNsi/b3Z7SwAU00z55Amv12xnuiCzlGWFkSCVWs88DvSfJ5EyqYeC7PsegcWWzybuq3w1xJcN8fjJGVEaJ/7IOImjgUErjxsNUQExvQhY+b6ErpKqeAmZ9eExdk0d74NEAtDWfpjE3cEWknSrNkOVLuX5xMLApk9z8GkOlikf/SX7Bi1+ByMr7gxD58BYPWRVsNlYTjWQWcLSPF825eYP/ojCSZmlUFUbgIIFEIebIlNNTzHXbISmVWYJ1PqPQX/565ZmQuEiAoyixVxpZZZADv2Y+fVYmIz5SVRSJTTK3Lcvm4JvgYFEQnL/eeaQS1dCpeem3Mebzaac4NPzU0aSrnRFzuWCkqtF/+RKmQmEJ1j1Rr6XWcrFRXiMSsRnnwG6T5D7kKytceghYKh9oq8oWw5xuiFpeezBVbaSi45YhBU+gQFrH3oMeOlfmA5YcT/BkrmfokZGQCPjTLWO9UJCI9A2fhKSUchoyXgfULGex3zlJ4ySbvikRcqs2crzPPJzSHgMWuU66N6sRIHGzFL6iswyILMYqnoLr33gIgFV2SqKSlasBQoaIA4XwV7zSwRERud0lZ4Pte6jFLozxd+Kl0Fzp0FKllJ0MbMEcvRXTA/rESiRScGJhMfJLUzLYYFBYDCBkCwDF8k/KVlOjuFrCE6uCkvLmwCu36z2lgIok5nSHHHhHzn0Y0Ydtn2RvXQGWxMqR+Jmir4lh/2DwySynvoDZdvXfYyaCYOXGF4dH7BywkrjamS0A6r9FUjpcmDwEkO0vhyCg4wiIL8W2PefzJ9e3EXwMW8z0PwyEBmHqr+JlUlm1UD8HHNI5osGIE4fU1xOLwligX6ibIlRv2S4DRhoJi+l7kZu5800yoovseQxuyIOrtTSeyGNdyaU5InoLJ32ZAGly6GMEmM59yyrZpa/h/ctnG842cmJZ7LveyTh7fgySYqFDYnHajtARn/5auaec7QEp/1msmnTMuExYNe/k0e05sE3pCInFRC51kFKKlNKixNU9aO/IOF082dYpZZTndTAzzBvNifOCb5ihL6i6Smg7QDU6g8yCtB/gX4hMAzRo+QtKEPXaKwHaNsPqdxAEbWiRdx/xVqO96JFwP7vAf5SpmdjEWDeNvLXgkNQC2+j6GF4PFGMzpvNbsfRcfa2OvYbS0AxOMBxrTTKHoz1AG0HIdCgFt1laKRk8vWBZvI98udbvqLxTsiCmyaU78LpYSSoeClUnREpan4J0vQkmw6aBNUV90P5MjGZycEfsgBh25+T83XdXyX6ivZXgI7DTK8Nd1B3aTrRzjepSTTMatS0XKiNn3yjT+dV2xxASTJV1AjxZbM8LzN90gZy2pJ7U74ugxc5SBfczHTLcJslbhQeZf2/HgMcGsuKV97P/hG51YzYdB4lYdZfDAxeZG5Sj1FrIS2X5YsDLeyiml8fj7qkJE+OdlN8bcGtJKP2NgHQCEqCQ3RmXSdY/RMzSLVeprhUdgXU1i9Q76X7FFdXtdvjZdsAJjocPUbNFF82tDorNK1ya6jtkFEMbaa9IooXA+FRq1Fb0rFUvaFmq0cIvEqWQy15x6S7088+DbQdhFr7kRk7J4kGWUFQsow9OIxW91dKRRKYYVrE6aUSp60sfjb7m42GyWTgZDql2em2uxZNFS6EONws+/e5DCXkiZYsvmaaDF1ieqNwIZC/gGN8fIDiiuERIyISphS+0ugrTj7M8XTuGXaudT7MRczgRajGuwHokLE+wOmlINlgC7DgJjbrNPgZKSPJYz1M59ReT45Lzykj4qFz0VVQT4FGb5bF3TCJsP4iqK2fZ2l/9ynIsV+x51nNNuteJWuLiDBN5nAnClnmVLMyL7MMWulynvt030NRIySjIN5jZ4KvWHAjF31OL8FM4ULqxkxicmEnx/3aBxMroKYwiUUoCVG4EMpfDOk+BYSGGU16Pc3hBEqWQPlypt/2TWBzAMUwGbxE1Fm1cSILPHnbgWbIxd1QDbcm5JQBUJF0wU18vWoD9Kf/P4gI1PV/DRQ0QHn8UA4XxdiG2qAW3hEXJgMURHMRpPiLuVLLq6WY0JbPGSF+xY7Fe79NkltyNYH9XMpXQSJjQPdxOqqqDdQgOPEwe/r0nSPvpXwdCbhlK6FV2PpSdB6jI8yp5krMrAxKvh+iA/0XIE4vsOqDCSkXGWie0BtjJmaK3016bZ4MwDOfWgrVm5OIzylMjxrpqFlMoL1ngfPPU6hp4e2Qk3+gtkTp8lfV3XPWk7jSgEXvSPnZ1yKNY/49k0iJboTtzdfeCgBFhtpYDVi+OmXj0eRt5cKLUAtumiCyphpuA+ZtJWCu2gD9+X9kavP6v6HGijsdypUG6TgM6T0H1XinNY5cabzXnUdJ/MwqpdqtK42pJKNrscy/nr7C4YHa/OlJz1MVLyYZu8vwFWWrgPk3sOtvx2EuihxuoHoLcP4Z8mNswmrSc5p6IdkVQCwK0WMp/Sh9RTPE5QVW/EnCPZHBFiAt3+YPZ2Zq3pYpfbZypQH5dWzkOm8rVAq16cSTjFLLZTYk2oFmRorHB6CWvIO8wcAAULJ0Sm2TKzle2CJBu2Kq2FeDvSUBioz3kdBWthJKaaxD3/vtaZF1/PM9ZzjBly6LM/JNUw4XRPMTlChliIQJQ7zHf0syaPUmSPthpk5qdzCVAiNqkV0BLH6bdazQKBvvla5gePLE74D6W6nKaBB69Z7TUMrBkkU9lphj7TvHtFHdDXSorjTofWc56WUUsb7/yE+Yt1VGOW3uPGh1N0DajzD6Ex6Huv5vJq0ukEv72YkZANILoTZ9iufVcRQ4+gugdEW8U+iVNuV0MxWXfE79FyAnHoZqvBMqdx60BTczqjUbK2zgYM+v47GWv5v58BmCExHd0GyYx1D1dNsf+TkgOtSydxuff31TOVMBlKn+TgYr15JJYJCRx7KV5F6N97OkP3ce1OoPTr+DvrP0FYUNE54BpTkh3sx4ylcte1e8e64c/x0r32p3QDqO8hxqtpKLBIPztejuhB5VEgnQV5QsI2ft6K+g6m6EZFfGq1v03nNQEoUqqJ/oKwaaCU5qdkBVrIHypEPvOwdAUSjR6aYPG+0EQuPkkPiL2YCz8zijMIFBqOv/etIxIh1HgWO/4j+eLKhtXzDO6yxw8Acz9sGXY0pzskdS8jkNtUGO/QpqwS1QBQvIw6vZPrud59VCLXp7vLeRWnov+UlJ4GTKBUXHK0BmGVRG4bSHk+O/JQdxxfvi9zp539eCOu1bE6A0PQ10HSN6z61h7X7ZSqj8BfySx3qmfEhU7Q5OXinyzaJHITv/leHEzGKohXdAOdwMu471QMZ6ifaX3Qece47gIUVPiPj+WnYDF15gqsPhBsZ6oUIjUEZLcv3s01zlay5g4ychL38NUthIDYd5W5kiCo0kiJxhyb3A4Z9B5deySqdlN1eF87YAe77NyqG+s0CvIWEfCUD2fCtltEYiAeDc02zsFw0CEMhoD51xr9Gl+Y0INwaHmd4KDie8LIMtkM5jFN9LTlElmdKcTCOZ/+dUze4cBi6ysqlo0czKCEc646u2q4H8OhuAcq1GUOT88+SHeDKYivFmUhjNIMLKaDcrWCabDKo3c9tU3BQA8tK/83dWGVTD7VRXDg5TMyUtBwrgivzsM+SDTZVyaN1P2QA9yqjKWA8r3Iwu4HJhJ9D0BAQKsuVzwMtfg+TVspy6ejPBeM12yuubtuQ+4OAPgewyaAtuhrQeoIx87XXA3m8BUIx8dB4BVzhRyK7/oMJu8rXGwuw27Eo3lKkVZKyXqSKzXcYbwQ0JGbxBQyncNBluh7Qdgpq/I6GAIZUppQFlK6z/TQVxzDBKMtJJ8Jc3n00Yp92+i+ctgsnCRwmVgG9SsPKWBCiqZisb/mVzwlFOdzwsJi17IaceYVlg+arUn3e4JnU4gGLaZKwHGO1kjrrhdqj0PGDbl7gKARgybd0PGW6HmgKgqIo1LOstamSqJ68Wyq4V4vRSYrt2B8mzrjTySwYuUJyufBUBhwgbhHkzoUqXQdzpgNMHvelJIDQKtfBOoLcJsuWzRP3DbRQ+K2pkxcxkSopme/acKuaUnT7Irn8DarbRoTu9UNWbpvw+roRJJMCoWGEDV6Oly4CCugmORVr3s3y7oJ49RVLta7QbcvIRqNodk1dzpPpccBgY6YQqINCVrAqg7kY6nZnYuj/lfmYYGUn1+usBSuxpneS/rzWAoqo3cdI0vkOlOdlQEIC0H+bKu/4WIEmsMf55zcGxMZm501n11tHLe7fkHWwcuv3PDZIqIINsVSF95yaq2tqtdAXBSelyQ732ywm+gs1Bfewr5nBB3GmsjOs6zvR29aZ4eap+4vfkvlRtpFCi0wc59xxFJRfexZ44Gz8N5fKwt487nWNqsDVltZlxM6gTk15ITp7S2NG5cgOjlHoMqnbq1O6VMImGmL4tbGAlYeFCkvGTfUX7ITYrzZ1HP5hqX+MDkBO/haraFB/3MzqH0Cj9pdmE0l/ECO+k80qSrX0QqRSsJz1eivN6M4CWtyZA8RdPLBvuOWN06y2Nl9xe1r41B9T6P6VewNlnKOFeuNDgkhhiboEB4MjPWZK35L6p9+fNSmi4l+BwAIokVawliIkGoW39vG0A2oizepRCR94sqLoboLZ9kefy0r9SsM2bBZx/jkClbCWQUQht+5emv+DhNqBsNdB+AMiqYL+OE7+Dyq6CHP4Zz3nhHfHNJRKE7P0Wc+x1NxBgnX8e0nqApLSklNlMTc4/B1x8mZEKoxwx5aqnbBXQfRoy2jO5gN5oF8PdQ610TtMdW48y7B8eB0LDkLUfZYt4zQFUb57+86bzmKQ08EoTX19NKic5pWN/7VpM8aj0fIJtm0nfeUbnsqsMX1F22fvX1j4Ive0QuR6dRzgRFjXGUwMSHgcO/ZB8s2lSH8qTwYWK+X+yryhZBlWylBHdyDi0zZ8lubPnDNNJdus6AThc1BPZ+nkAgL77myTeZxRBzj4FVXcTW3L4cqBt+/PpL3a4nemnzqOALxeq/mbI8d9C5VZDTjxMsGT3FbEIx1VmCVT9rayGvLgb0ryTFU8zJLAmmzS/RF/XeDfbgmASX1G6Eug4Sl+Rmv/MhWj/BS5GjFTwlMcWncrewWFGQFZ9gL5QaZOC3FSWUpF2lmbSEK5me0sAFBnvg5x9himPSZj2cuoPQGAA6rq/ntBQ73JMq1wHySxh5Yct3AcYDg4AcuczsnKZJiIsKXN4gOxy8h3WPMhURFJURjlcwKY/s1q9m6+v+TAgMXZSjYwDBfXUTultoqaKd/LyPgCQ049zBehOZ841LRdq9Yf4Zop8LyTGibznNMv/Nn+G0Y/I+KQk3JTHHevlhK7HACiokuUQXU8AFDLSBbjTE7pFK4cbokegYkGmtdLzJuSJVfESOmHjnFI5AxnuAHxZdGyi85o8foKjGeSQgSvDMXm1FTmXC0rsf9sByps9giLBIXYHrtqQEKZP2ObMHxkp2/rFK+MrylZA/EVcsSd33+03fUXNjLgJU5ns/gYQC0MKFwItu0lSLViQMsWsNn4KyarMatX7WVUkwmrCokamMDuOABs/mdgfLNXxm54i8Hf7Sdr1ZkGt+gDfDI8D0UBiREB0+oX+85Dn/xHY+CmS1GfrK8b7AShejx6DKlnCsW0DFGa7Ebu/Uw43AVwsmDje7fekYAFk46eA8DjEaHI64fijhh9yG34oPGZI9Te+KnB7JexqTwO9JQAK+i9YlTGTABS1+B0GqWlqXsJsTGVXJvBUpOcMpdnL11AZtmj6klvpOEziVIrVglIK4i9mdUrbQZajTtHUKhXYiK+yPH4r0pFRSEfdcRjSfQpqxXsT+hclfL7xLkpqFy8CLr4Mfe+32d/HlcZGZhOOx8Zpcu45EggdLmj1t0Dqbpx5uFKPQl7+OgFKJAC4vNB2/CVU5u3WNqERyO6vA1nlVpdTkFyI6/6aSrh7vslV5ZJ7Jh5ktJuiVTXboGxqngDBkez+Bh3civcxFL/lcwDUtIP8SoOSmf49k7TOZBU5k0VK7K/run5NABQMtACdRyG+nEkBimq8Gwj0TwveZ2MqszQuXQ+AJO9Tj1ILKT1/+io1gIuh9IJJF2HwF1N7pWU3FzVT6AappH4/AJhiNlJAyiydTs+HpBewiqfjKNTyd08aBVUNt5FrUbIUcmk/9N3fpG/x+FOm05XTw1YXzbsgXccAp4f8v3lbZyW2Jru/yYWRHgOUBnXdX0GzR2qiQfZYSs9P0A5R6XnAdX8FBPq5ECxogFrxXn7G/pwHhhjlqljH3mP2YweHgd3foCDmmgdYlLHp07ATR670mLlcoHE1gpW3BkApWwnly2VX3kls1gTIy7GxHq68PH6oTYklfxIJQM4/D1W6Iu5gZKiNaor5dVA24pT0X4Ac+AHLDle8DxIeh5x6BKpk+WWHPe2mandA1e6gWNNwO5v2md1NRSdT36hIUFlllnDVSCcVMyPBKTsFK6VBzb8OsJUSz8bhKM0JqVjDKqjBS0CqJluuNObksyauUJTmoHpn8RLA4WJTtAU3QrOlYySzlKTk3iYgCaDAm8VqLBu3ZCaVPbMFJ7PhoqTaZrZcE/v/k/1owQGk9R7DaP5yiMM7Aby86QFK8WIKCGZVTLqJ/Zl/zWy8HxjtgnK4J/qKaAhy/jmoosXx51vGelkFll2ZAMhlqA2y73tQdTdAW3ofP3viYaiihYlk2Ms0Vb0Zqnoz9FOPMpIaHrd6DYkwKm36CltqXUa7rO2nAkpKA+Zthppnjc1ZK8FWrLEqlAoXTvy8w03ic4pKO6U5mP4uWQY4vPQV87bSf5nmL+LisO/sxGO704HS5UmRktd28r8SQMPcx6sBKhIYhFx8Gap642Wn7t8SAEUpLV7+9UaY3vQkEA1DW3g7J7ZYBDLYklgF1HeOvXtE50oDAPzFUPNvmBD2pQKti6RYMApyJZpNyXA7pOkpajb4ixkdWXBTYvfnc88B558DVt4PlZxzzalmROMyWpNL53FIx2GoRXdTTTMShBz/DVThQqjS5RO21+pvIVgKj6de7WkOlmEmHyc8Dgy3QeXXQS29D/r5FwAIG5jZAIryZUPSchN7npgDX3My4jaT60qesFt2k7fTeDdgdqyewedmGymxvzeTNA4wMYKSKlLi6z+FjP6jCLuyMJq1IP7etRJBUUqxsu8NMjn3HCQ4CNV4N9MvokP6m6HsPmCwhYqr4XGoLKN8Py2P5fbJKYO4r7AED9XS1CKTszrP0W7I6T9yMZNdQaLwvK2JY/HiLopPLn3nRJn6nCrqhFyG+rP0nIFc2gvVeBeUN5NclWO/gcqdx6KCJNPqbpjaVygtgScXP04kyHudXwdtyT3QL+0DICwbty+uPH6I2YQwed+aA7LQIFXPdmy0HeC8sOhtKZsgzsSSjzlbwPGqeCqdR6lg7MuaFb/Gbm8JgPJ6mgx38KGuWGt9sR1HyPFouA3K4zf61XRSmtkcMIULSZi1ETeV5qD2QZKpnCqo6/6Kk0Y0DOW8vId3gg22cBUw1EhwpDkmgA2VVUZdhVS6Hr1N/AmNxFUdk01EZx44iRAqfU0sNQxs5TFDw+waqxwpAQpAxyIuryUHDkD0GOTkI1wxVW2AlqTkKGceZ+OwVR+EyquBVrOV/UqS2hkopUFt+ETihB4NzSgFOKUj6j5JBdH5N8U73072udmkcmYaJZkKlMyEXzKYtQhBhx+j6ZXQI5FrDqC8niaj3ZyAKtbGV/XSeYwTt+krzH41mz9rrfDzarkgsUV9lVIpCdkqswTKaKQ50+d3RjbURl+RVwtkV3ARmDz5+0sYiUovmPj5vrP8CQwkNEm1G31FdAKvQ/rOUdV2rIdl3+ExoPsEJBpMCVAA01f4En2F6OTQ9ZxmsUHVxoTJWM49wwXFsnfTP5evZjQlhWyCGbWKP//R0KQ+cOJ1TjJmek7Tn9ZePyMdpZkAicsBLJcdkalYxzToTNXDU9i1DVD0KPRjv6bwzgy+4Cth0vQk0HeWgmtGTlmt+yggevzLVdUb6Zzs5cKaA5JdMTvy1+nHKHe9/uMJrd8v2yrWMqpjSKrLUFscqEhwiOdZUJ9SVl+6jvN6Nnw8ZZpJhjuo6RIYZJXM5s8mdIFWDbcBVRvjRECVUUhSnJHnl/F+hrXnbWHHU3O/u/4DUCoeBpcDPyDQEh04+QikoD4hvKhKV0A0Z0ILA1XYMO2tkfPPUW9m9QP8bifbbpoJOrboXjz9lb9G0djvsfTOFPnsFPuZCpAkvzYZYLG/PxPgkgqciAh05cRIevWE964JgBIYhIx2v2oy6kxNzj0LdB1n6sMgd6s1HwJiEUuWvnId0432Z1hphq+IzfhY+tmngQsvAms/kjLtOVtTZSsSOH0y3M6qRM1J3oXoUHk1UCki19JzBoAGrPtYynORsR52aA6Ps0XHps8kEt0X3AiUrYhrOylfNn2FQUKV4BCLIqo2JOg/yd5vE8xs+Rzv4Ss/Ndp/6NRnya9LILirkqUkydoi3ROixqmsZTf3t+JPJpUyAGaQ8m18O5796t8iu/83WHnfg9Me9nKAxGxTObOJqCinm6mxV2HXNkCJBKl5kVkOVL4+PRHYYHBhQt+U5CZ2qmTZhCykiM7J1uWLl/VNeyxfNjsbX6EIilKa1TSx4wireao2AlnlkJMPA8oBtf1L0E89xj4TS98Zf1il6Sl2TC23VjD68d8CItAWvx3SfYKRi9xargaSwqHK4Z5Q/ZIAunqb+F1mFCauyNLykNCELS2XIG/+dVDB4YmtCHKrE8PlKSyl4/AYK6dZdhRO3mZsZAR7fvJtlB49iCV3vCflNgDQcfwgAsMDmLf+uoT3ZvN7qvRNqp/kCIo9xZMKiMRisYTPmv+/aS0yzije6wRQVO11TIvaIyHJEcuiRSkJsibxU+34y5kdy5tl+IrJZddnayaHRXpOs1dX+Rogp4q+IBIArvtLgrCRTqhl77aiRGefipNlTdNP/QEIjUEtvQ/oPs2xnjefIppJVXRKc06QiUhYFPVfANoPQbyZiQKVaXnG9RveNy2XkdMFN0EF+hOAqYiwOKFxejA34Zn3+KmdY+PhXc64CIfCePlHX0du5fwpAUp303EMdVxC3dZbpj3epGrgswA3V4KfMlO7tgGKJx1qGhR7pS1ZY0WiQb4+jWNQSoOUrZg8NRKLsFGdzYGpqo1Qs8jtSSQIaX4RqnR5QhQipWWWAfkLgOF2dlAuWmypPA5cAAJDkCM/hwx3QG38BCfv8QEy/U3rOwdEQ9CfOUlJ5qwKIH/+5fWxKV/NBlhJKzLNUNSV0AjgSoOWgncyE5uQXhlsAfrOA/O2kM9StiJBKTLVZ6bbJwBk5BfjAz98Bv7CktTHNf7/9Rfvx1D7RXz+pXa4fOkJ703GO5ksAjLTn8mqcuxgJRqNpgQl1wRAScu97Fz55ZjKKABsIFyiIUYe7GNoMitbMWkERfQoEAkmRh1m0DcoYR/RMH1F0aLEST6V+Ysp0hYYgLTuI/ncnUaf1t8MjLBFh/RfgNrwCQKFka7EhVvfBSA4CHn6fwIr3hP327MmxALsf+NKm8Dd05ZSc0pCoxCXF1r9LbZ36Vdm+vwmbDfcRi2Z6s3k+xQtopo3N5zZPlKYO92PDz30PDz+7Cm3/e2XH0DXqcP4zLPn4S+gX3k1QGSmYOWyUz+zsGsboECRaPYGmuz6GgCB2vqFabfVkkrUEvZz6CEKh235/EQBpplabxNw4UVILGIRcScxlZ4HtfJPKA3f2wRVs83qLLzmQXZYPvkwUykCikhFg5DhToov1Wwnh6N1P3D+eSiH61VVSinNMVFMyjD90j7g5MOTlwxPYykH/4UXmefOr0tZsXE54MR8rXzZxPLr5M9s/8x/x2hPxwRwkrztbACK/bOpoibm/8BEDkpyNCYViInFZp5yuCrN6b0iAliXa7L3O+RvbfvzaSdmre7Gyfdz5Jd8djd/5rKrJzDQzJRmcHjaPlrKmwW14n0k2WeWQM3bFufFqZX3s+N405P0FRCO0fpbmbbd/yirPNZ9GNJ2GGh6gn3FCi5/UamUNrmv6DwKHPlFQsnwbG3C2L74MtB1jJGw3JrL8g2TWcmi6Tunb/vU36L3/Kk4OEk+xlRAZCbRkjey5PgaByhvjNmJWMitnhJFz9iyKwGlJlUbnZEVNULpb5+R4qFpyVouAOJEO2X0+DBNIMArDwGiQ7LKoeVWQ83bwh4/MzQJDHA1Ur5q5pPFcDt/z2TlaR5nuu+k/hYCHhs4ERGcfOI3ePqf/wb3fuXHKF6YmF+dCpRM9lqqv0UEDTe+fVrwMdXf0xFeze3t7yWnbFKBj1gslpDiiUaj8WO86SMob4Al+IqcKiA0mpiyvAxTWWUUP3w16Zz8+axUm0VFU7KWC2DwEOCe0GFXPH5g51fZuyc9H1p+HVTVOqAqNXhPZRIcpuJt+cqUAmkpzfQVTstXXFbUxG51N0Dy64Ds6gRff/bFJ/DH//U53PU/v42KFRtmt89ZWN2221C37bZJQUmqY8RT81O8l+rzVyJFNBubAyhX2KTvHOTgD8nCr1gLbYblqNOZZq+7v0xTmmNCmmIyk57TDMnW3TBjoKAcbkj1JkDXoWzy/AAdsTQ9BZVbM2VUS5qeBjqPzIr9rRpuYwpoBuS/mToElZYHpOVN2H6oowX9LecwNtAz5f4mi3jM5O9Uv6eLkiT/P136JtXfdoBiByLJACUZpJjbmOmfOZuZyeAlyL7vkS81b0uCeNirMTVvCxcGr2YfSqN+xwxM+s5Bek7TV8wQKCilgHlbIZHxCR2GRXT6iqxyqEl64ABgI8fWfSTbz/Bc1fzrgcLGONF9Js/rVNuICPlpxUsnbD/c1YaBlnMY6+2a2X6ugE0FPKZ6PxWgSQU0Xu+oy6uD6nM20Zwessmn6X55tZh++nHoR381cUJt2QNc3EXBqFmYVncjtPqbJ4KasT7qIlzaM/UO+s8xSmQTQQsHxnH0Dz9DJBhI+RHlcF1RcDKVrf/AZ/Chh56Dw+VOub/ffvkBPPkPfzHlcftbzuHczicSgchQK9RIx6QgZbK/ZwpKptomVbQkFQcl1bbmj/0z12JPntfEHG6W5r5ZfMXZZ6Af/hkkifsirftZuTLSNav9qdrt0BpumwhqgkNA805y36ayvnOAckDyrQVPNBzCsUd/jtDYaOpjas4pq/CSbaoFyHTR0RX3fBAP/HQn3On+lNs+9nefxqP/49NT+qWh9hY0Pfdo4osjHUz3T3FeM104TfX6bK99Jp+drc0BlCtsKqsc2rYvThQmulqt9wzr7SVxUlGL7oZa9YFpSy6j4TCCI0PTHkb5i6BWvT/eCXZSK1lK5V9bKmvfj7+OX33hT7D/Z9+KvybhsWmPCQB6aGRGAyq+36QJPNX7v/vLB/HDD92M0Ohwwmei4TCann8MTS/8ESKChz5yB/7zfdvj70dCQYwPDeAP/+1P8bNPvB39Lefi7zmPPATn0Z9MCwzMCIY9kmF/PRqNTvht/4lEIil/wuFw/CfVa+FwGKFQaML/9p/BwUH8/Oc/x9/93d/N6F6/1U35i6Bt/cKkXdOvOus7Sx6bHkl4WTXcBrXy/mkn/lgkgsDQwLSHUb4cqNUfmp5PVrIEKF2WQCp+5dffxy8//z68/F9fjb8m4bGUEc0Jr4VHp3x/0s+l8Bfm/4/+jz/Djz96B4a72if4ljPPPoKm5/4AEcGvPv9efPedGxGLROK+ZHywH3/8n5/FLz59H9pPHIqPdceRn8Dxyg+h2yKel7tAmSoiO9lr092jmb4/E5tL8bwFTQYuAv4SKKebAkN6bAIpT3mzErQXJrOffvIdaDn4Ej79L/+I9GV3Tt4HBACyq9iUMXce1CT18Vr9rRNea7z5Hgx1XELjTUyXSe9ZptHqbkgZyhYRVvW0HwbOPglZeOe0FQyzWRFs++TfYqjj0oSVkcPlwsd+dxAOF1eEwZFBhMfH4p//+SffgY4Th3DL3/wLKlZtRmZJpQVuqndAlDbBWdj/Nv9P5pc4RtqQ1nsUIyUboDvTUzooM0UzGQAyt0n+2w6AzM+YvJNoNApd19Hf34+HH34Yjz/+OMbGZgYc5+zNYTLYQn0Tp9doFhiZ2FzT45+RIuyvv/QBnH72EXzqK/8HWavumrTXEQAgu5K9iDJLJh27WnILCgALdtyBtWdPYMkd746fv+z9LqvxjFTSRGAyRtXT049B6m5KWck1kwhDqv83feRL6G46joyC4gnvP/iL3fHxGRwZQnBkCLoegxIHfvul9+PCrqdx63//GgrmL0J+TUP889Hq7VCxMIQHSXlvAKZoko+pRjuhWnZBr7mOHbKTUj6pUkCTbWO/zplU+1xO2mcOoLzFTHrOQA79CKhcz5XPLIilqax44TJEhrrhGjwHOfB9YPHb42JGInpiSXFoBGg7COk6CRQtmpTboh/7NRAJQjNY9jnl1bjtb75qbeDxG3ooKQThzIF1+GcMg6blTavCON0qINkW3/6uSZ1TRn5R/P8P/fiFBDBR1LAMuq5j/vbb0WCCLROglKxMCUrsf7tad8M9fAEjtXdBHJ74e+7hC/AO/f/snXV4HNe5h9+Z5ZW0YmbJbMvMzDGE0zA20DRQbtKkvW3vLdMtNzdpG2jaNGw74JAd24mZmS1Ztph5cWbO/WO0q93VriQ7Tpqm/p5nnz175pyzM2fmfPM7H57CFV+MLzYfCAUi4buqcHVOf8eiAZeKigpWrlzJhg0b8Pn0XfXQoUO57LLL+NWvftXnnF+kTz+JljOInU/qOa1GXaUDk49geJs+tIS2s8cxd5TrXonDLwvYmPTiFT4nVO5CGEyQURI1Aq52dDU4m/QEpbIBR3pWKK8wx0Jcet9hFQ6t0KVD3XZn/VF/wCS4buiCyxky/7KIx2wJPf914xNvoGlaAFSkDSmhq7mBohmLGL441I5RyxjTa6xgkiQJqXIHhvpDKCOvA0tsT5DQplPIDUcRyYMRtsSowKQ/wHGuIOV86SJA+TcncXYbyKaBi4kdmfqC/wjhh/2k7f0n8yckwpc/hDPboHQdOHURrmiv0SM3Fs1F6g7XL9mTELYkcLfpIfrNUR6/tmpQXL2ZVjdJcekhWUcjAozscXqUy6HLIrpsnisoiVQf7Xc0EfDcr+qqj/a6KrY//RvG33gfCTkF/UpNhBCUb1nL6kdu5/KbLyU7bxEqxgCQaEsej9Oeg8eWgdZtqBoeaM0PLICIsUuCjVwNmoccXxlVIp1O7L28dY4dO8aKFSvYsWNHgDFNmDCBJUuWUFz8ycUcukjnRqJyly4tjZBlPCLFpukxRQaQSbk/0g6+ysyhMjM//yHU7NMjrTob9fPqakJs+z9E3pSA+7RkidNTUHQ16CHso4WNb6/WA0QKDYiQC8ee1CtlRS/KHKNveoYuC/GS7Gu9fxzHoCeg4rR7HmbaPQ/jbGnkwz/+gDHXfJ6Uor4jXvsBwtndm3nx3ku55JpFjB68HMwxPXwlZyqaIwcRn4cUdl4DARi9JCyKG6nsAz1DdXB07igGttGORaOLAOU8SPjcerCy1KHnHHRMNJ3SU6IPMD6BaClHlG5AGr681y5ACKHnkjB2G9ulDInuBuZuh656pORBerTGC0FGq54CXTIgFc9F5EzsCQ4lG7qPhxnAGUwgVCQR3ZBSmnovRAEnwdQXyJCyJ0B2b9AmhOCFB66h7tgBPv/PDTjSs3sd79WnvRpXWxsVp0oZPKd3/JhIDCjaN8CJ9W+y58U/Y09OY8rnvx4RlBhay1GsSWgmPQ6KbDJjjnHgKlyEYoxFBEk6BDJuazpaGAgJByiRQEl4WdM0ktR6crRKfEKjVcsPAJQ9e/awYsUKDh8+DIDRaGTGjBksWbKEjIyMgJ3LReohoXh1w++UIeccdEw0nwZrApK9d+6XiO3bqxEn3kMacknETMXi5FpQPQhLHFLasKjrS3g6ob0aKXUIUslHTywI6M4DJguSLCMVzEBkje0JOinLegyacGNZg0XnA32E9Jcm3qG3+SjhFzJK9E8Q+dfkiodv5+zOjdz6zBqS8noHc+tV7qzH29nK6SPHGTR7KbLBcE4AJfx32eY17HnhCYwWK7O/9N8RT19uO4OwJCC6A2kaTGYscQkwbKmexDB4TElGxOf5/6ynOkgdNNAyAC1noGKbHr07CKD0BXjORdpyEaCcB4my9XBmq56w6xyMYUVHnZ4rJmWwHsBoINR6FprLoL22V9ItSZJg0ucRpzcj9j6njxklxok48rpuEDvtfj28s+rpN7pt1OsQGpzdjpQ/NSTuQUjkytg0pLkP6+01BYTQvW3GXAfu9ohZRQN9g5iNVnMATryLVHJtSIj6vsBJ9PPW+5zeug6f20lT+ckAQAkfb/+qvxOTkkFWyUQMW55gw2vr2L1xJ9f98ZUASPH3qdizhZUP3cYl3/41g+dd2uv/wr9LLr8FqyOB4llLAoCkqfwkK79yLeNvfoDxSy4l9uRKvPFFdBQtRwhB5thp3P7afn1OIkR89df3ZV8yUIBSo6Xg0QZTr8ThUTx88MEHrFixgrNnzwJgs9lYuHAhCxcuxOFw6CqqbqPc87kvn2US5ZugbAPSiCvgHIxhhasVsetpSMgLJKLrl1oru3lFlS4pDSNpwm2I8s2w/wXog3eJ42/rNhmT7kRKLED43CF5s86VxNkdSJmjQzIGh0TEtiUizfmm3lZT9Q2MwYxUcrWuvulDRRvCK+qOwrE3ezJB+///HKSl4b9LN63B3dZM3bEDJOWFBmHzlw+//TImq528iTORtz/J1rfWs2XtFi77yV8ZsfS6kLa1R/ex8us3MevB7zFyWXRVsZ+GLr4ag8lM/tT5gWPttZW8dO9ljL76DqZcdxvWwy+iOvJwj7weSZLIGDmeB9ae0udE0/oFA37gESwdGXA5ZQii5FpIKIiQvuWjg5SLAOU8SMoci1CVQIKvAVNMsp4Q71zSuRfMREoZGtX4VErIg0IQ1jjow+hMypuCiEmGmBQ9quOZLXqyrgiMrF/qqNWZmDkOptyjJ+vqg/QImZ16kq6Y1MjZTSP1O7sdjq0GJH3nd44vv2jt739zP61VZ8ibODMig3B3tPH6d+7BEuvA09mOJMtc/o1HIXMMJuHG3dGGOabHKNDd0UZXUx0tVWciqmvCf8smM0MWXhUCHLzOLrqa6nG1NOE1x+NKHYMnNjegdomUJyccoPg9eSK1iQRE/MAiGMT4253oMvHee6/zxhtv0Nioi+ITEhJYvHgxs2fPxmazoWkaHo+n15gXqYekjBLdO+QcgiMCepLMgpl9G5KGU+4kpMS8Xpm5A+fiyIKCmQijtU/eJeVMRJjtEJeJKPsAcWodTPo8UmLBuV0D3eqbY2/qrtST746YSDSk/e5n9WSis76uA5MBJnkV1ft0WxKA7vQi56rGjcQLvrhqNw2lRymYMjfimtZUldce+TwGswXN50UIwWVfeYgxjiHE2Aw4W5qwxvfYeng6O+hsqKWloqzXeokIViSZQfN1z0f/2va6nHQ11dPV3IBqjsObORE1NjvEvT/45d9XOZJUJJLUpE8wkTq8l0HuQGxaBsIrLgKU8yDJkYk04rL+G4b3k41IIfkfBtBHkgMZQ6O2iRDttVeblME9mTjtSYhA4qzzoLhMPfdGw3E90NSY6/uOQxKTqkd5DRMpi/LNeoCnsTdF3qFZ43WjtRFXQqJ+fVuf+R3H33+dG/70KlZHQsS/E3WH8WDjyMYPGLnkc5hjQqU18Vl5ODJ7u0QGFpMsIxkMmGx2jGYrsslE7qLbSDnwFk9+6RZGzl/Ckh8/wytfuZ6CqfMYd+3dSAYjh974JxNvuo/WqnLeeOROJtx0H8MuuSYwdjB4MVXvxNhaRmfxZahCpvHUYW5+bhNxGdloQtCROUNnOCLUFiUYlISXAxIMTSG/eTOdxkRqbEOjApRIYKWlpYU333yTt99+m85O3e0yKyuLpUuXMm3aNGRZDnFzvhhJtm+SYlP7d62P1E+S9cSj59RH6pVEr1ebAfAuKakQqRvACFuivgbPM1aLFJOMyCiB2oOIXc9Ayef6TtYZk6Lbk8hhvKJiJ6Jmv550MJL01RKng5lhlyKl6DGUdr/0JPtXPct1v38pYLzei+qP4ZNtHPpgHUMXXIEtXlen+Z/j2NQMYoIM34O//WWD0YTRbMXoSARNI232dWTV7uWJBz5P8aQZXPbbV1n1jZtJHz6Wafc8jMFs4cjqF5l298N0NNTw5iOfZ+RlNzHq8ltCr7n7f8z1+zE1HcM56DI0g5XaI3u46e8bSMwtRBPgypml3/tzWHsBQCE0zEdXIOwpKIXzQo77zyEYpAxEuhKJzkWtE0wXAcp/IA00cZhoOYPY/azu7RMknpYkCTHiSji1Bqr26EZqfQAUOUo8A9FWBa0V+o4nEkBJHYqUOrSnvauF6oM7qdy/HVd7CxbJDTufguK5gaSJoqMODrzE7i0nWPvCq7jampl+p54dOtrLM7zebI/lzhc2YY2NJz47v6feN40RUyczZNHVuNvbqNq/HbM9lmGLrqJw2nxUrxfV56OjvoaaI3uoO36QQfMuZeuTvyJ/8lyyunPwCCGQO2swdNaAz0XZtk2s/fFXGHH5Lcz++k9DgEikcqQswtBjdyKrbuy+JjQhUExKVGPYYIBSVVXFypUrWb9+PV6vF4DBgwezfPlyRo8eHTjvYFVOsMTlIkD5bJKUORopKOtwNBLtNYidTyINmt87genwy/TQ8pU7oKuhVxK/YJKjgCfRXq175fmcur1d+HkmFyPN/Grgt+ZsofrQLioP7KCruZ4YmxF2/BnypkLRXL2Ruw0OvMCB3WWs/tuLtFadYc6D3+v5zwjSjfBvSZa5/Z8fIpvMJOUVB+oVG4ycNpW8eVfhczmp2r8N1euho66awhmLcDY36JKQ5gZqj+whZfBIhi29nl3P/o7MkonkTpwd+B+5sw5DZy3C28XZI7t497/vZ8iiq7jkv/9PP4dI7sQRpCaRgIZQvcjtlWiKq9f1DlQ11F/5XMYMp4sA5RMmUb4J0dUIsRnQXqUHRPsXJCgT3i7Ekdf1zMbRPHokSd/JRHqo9v5DBybTv4RmTeSNR+8ifdhopt3+lQGfg1Ryda+sqwEGoLjh8GuQNhwpc7Quwj28kivuvZNL7v8asTmFiI7awLkFFldMChTPpyRvCc7YQt0luK1Kl+DYEnv9T/hvTVEo3bKGgslzMVqsIe3M2SO5/PH3A3VffOswpz58mycuG0NS4VCaTx+n/tQRskZP5gurD2FPTGXNT77G4Teeo+HkIS4tmRQAFjsONXN2+17mDrmd9DFTKZ5/OYMXXdMrW3C4lMQPDFxtzbSePk7KyIkR4phI7LbNwqdJCK+3F5DwuwRrmsbx48dZuXIl27ZtC1zXuHHjWLp0KcXFOsP1+Xy9Qt1HUh1dNJC9sCTO7kC0Veg5XlpKkUZcGUjC94meh+JGHH4NqXstRiRJ6paQRuAV+1/QNyJT74O4DN74/v3EZ+Yx+4uPDPgcpOGX6ikBIsRbEapPT1CaVAjZExD1R2H/Cyy7+Wrm3noHcYNLEM6mbl4R9MI0x8GgRQwtMNJiymXMVbfr6mvZAPaUqCrawLemUbZlLdnjpmG2xYSobKTkQhb/5s1A+ztX7uHsjg958spxJBcPp6n0KNWHdpM9dip3rNiDLT6JjX/8H/a/+ATZ46aTNW5GYKw9J1opW7eLuY/cTNrwcQxZfA1Dl14Xkpwz/MUf/Nvb1UHdkb3kTZ6DHCSZ0lU8RjrH3oUkm5C6VUSRVD8RwU0/gCMSUImkBuqLPjUARZKkJcDv0H3F/iqE+FnY8a8DdwMK0ADcKYQ484mf6EckUXNQ30U4GvUdwZDFAwpyJFTfR7NUDydnE9QfRZjsIQBFNJ9GHFqJNPJy3eNn/ndCummdDUhNJ3WVi9WBFJOMu7WFg2++QGPZ8XMDKLIxZDcUWPjudtj1FLhadKaSOVpXEzmyMbSWEtNWiUjPRYrLQMx9JHxQKJxNHLDga1N06cyHv9TF1FPv19vsfx5JCMSYG3XPF1UJBFfbu+IZ3vnhl5n75f9m2l264d5LD16DbDRx1S//rgdGM5kQQmBPTCGleAQZI8Yz8ZYHkGQDiXnFWI68jEHIuB2XUrlnEwazhZkP/DdyRyWyu42zdW72vfIkLaePM+nub9F85hSl617HEpdA8tDRaKqKqviQDMao0pT9T/+Ksx+uZsb3Hidp6Nje0hRMqEJFaGpEFc/evXtZuXIlBw4cAMBgMDB9+nSWLVtGZmZmL3uW/gBK8Ofjpv8YXlF3SDeS93Tqxq+DFoBxAHE6LjSvcLVB3REEUghAEW2ViAMvIw1dooOX+d8O6aa5WqD2sG4bJxuQYlJQPG4OvP4cCdkF5wZQZENEPim8XXogNmcjwufSvffsSeDIRu6oILblDCI1Sz+HOT0pKHT7Dgnyp2MXgvlfnaTnEPvwp0imGLTpOh+Tj6wCbwfq6JsRmoaq+AJpLo68+ypvfvsuJt/xVWY/+H2EELzx6J2421u46rcvITQV2ajfB6sjkaSCwaSPGMfoa+7CYDKROrSEmNI3sXndtDsuo2rPJmSjien3fxe5swajq4nKFtj34l9oOLaf8bdX4HV2cOK9V0GSyBk/Q48mqyoYzJaoL/ytT/yUgyue5tJfPEvRzEt6NzBY9bmIsHYHouoJPh5yb85BBRSNPhUARZIkA/AnYBFQCeyUJOl1IcSRoGZ7gYlCCKckSfcBvwCu7z3ap5ukCbeB4tFVGl5nxB1BOImqvYjDKxHDL0POnRS9XWc92BIGlLBLSsjTPXrCjdC8XeBuBU/viKCisx62/AmB0L1quqO+2hOTuf+NfVjjQ90hhVsPBS9ZHX1fX/jCUL16ULeMEl08DLqNy5QvIOqP6W6bQUGG+hzPYIG86boLnh/NO5tB6C/8f9y5hOaKUu5/6zBGs4XU4hEk5hWTMmhEYJzm8lMgSTx1wwx8zk6+8Pp+6F6kGSPGcfPf1iKE4P1fPszb/30/X/jO/bz4p2fRrL/kmsdeR/V5iE3PwX70OYzuZjY9/g7NpUdZ8tNniM3MQ7baGXzJtRTMuRRVVVn9tetwNtVx+Z/fQZINAdWK/9pUVSV75lIwmrBnF+HrDo8dDCqCgUSwvcjGjRtZsWIF5eXlAFitVubPn8/ixYuJj49HVdWAxCSS8Ww0L6AQG5iPkf6jeMXYG8Dr1IONeTr0BJb9kKg7jNj/ImLwYuTCmdHbdTWAxRE9vkjwecSlw/QHekeW9jrB1aqv1fDxXS2w6XcgNKQRlweiuJoMJu5/Yx8ma6hNi/B0gqb0a3DfizQFPO2QOhxGXqGfb2y6ziuaTkHMUT2eS/B/RVDdAAhJgjzdiDgAtl3NSJ4ONE3lla/eQPWBnXzhtb2YYx0kFQwhMa+Y5OIRgfatFaU4W5p44Z5ldNZVcvvL2zGY9fESC4dy7Z/fQgjB1id+wns//BJ3Pvogbz37Eu2un3HVn1bhczuJzy4gpnQlZmct2579kIZj+1nw3T+SWDQMb1cHwy69ieK5y1FVlbcevpWm0qPc8I8PMduDPKOC1DqDFlyBz+0iddg4VFUNOTbQcjSJSV/Aoy+blfC5j0afCoACTAZOCSHKACRJegG4AggwHSHE+qD224BQi6J/E5LMMeB3sRuo4ZnZDpIBjq5GpA0PVYm426H1LMKaoOtYu6M+RiPt4CtgsutJuiIY1EkZo3Q36CDGJar3I6p269IeWzzEpiOMFsS2J/SdUdowkgt6M0OxrVtHOlffuQjFref9SR+pX08UkmJSEHO/pQegC3+gU4fqn/D/ivCwB+qKuzNBV+9Dqt2PNuYmMMcihCA+Kw9NVZC6w8yf3r6elrOlNJw8TPGsJbz5X18gf+o8jq9dhau1ieSCwQjA09FG6YfvMGjepRjMFoQQxCRnEJeWhXvUTcQW7AEkrIm614KqqrRnzcLgaWPK/ZNpPHWE7ImzURQFY4yDaV/5UUCdYk/NRDIY8PkUJDlUfdNwaBcGewzxQ8bgGDwaVVXxer29gERw2el0smbNGl5//XUaGvQszPHx8SxevJj5c2ZyZV47NkMra+tk6r3GXskCI2U2Dlc9BZc/ZvrP4RUmew+PGKibr8kOshFOrkGkjwyJoSK8XdBUhohLgy2P6erTsTdEHUo78joIDXnklRFzckmpQ2D+t0N5Rd0RPcnfkCVgTdA3ErZExLY/67wiuYjE4nm9xhI7/6pviuY9ooNy1Qv1R3UPkT7UWpI1HuY+jJAMveK6SMmDEEmhgQPD1TThdaJglv4irT+CoXInytArEJZYBBJx6Tk4MmvBYNQjKe/eRMvZUhpPHkZddBXv//ybJBePwL1/O3WH9xCXkYOGhOrq4tSG1RTOuASjzY4QAltiKrFpWXQMugxr/jFEaxPm+CTM8UkoikJr2hRM7ibG3zmN7Kl7yJtxCYqiIFtsTP+yHvBRURTsqZl6iPygTQzo4KD24E6MZgtpw8eROnwckiQFNjDBwCP4d/ixkHqhYj3yMpKnDd+Qy9AS8qICl2h2Mf+uKp5soCLodyXQV7jDu4C3Ix2QJOkLwBcA8vL69mz5dyEpdSgMWaQbioWFphf7X4S2ChhzA6QO6/HUiUBCaHqyL1NM72O1h3SblDE3ICWHukGL1rPQcgYJCWlWt8Fp+WZEexVIMsJoRYoAUAjLtyPKt0DZBlC8EY10RflmKN8MEz+v275U70PkT+/X20h01EP9IbS0Erb880nyJ83G6+yk4dQRptz25Z6G7ZXQepam0sM8e/+NTLntS1z247+ELJry7esAyBg5Qdcxb3oPqyOBwukLObL6BXwuF3+7cSaD5l7K1r/8nPkP/YLR13weIQSTbv8KE279EgCX/eo5WipP8/SVYym56g7G3fIlvPZMhC2D1HhB8pDR1BzcRe2BbQy/+i5kgyHwgp/+jV/0imOiaRrerg62/vRL2FMzmfmzf4Z44gC9QEVrayurV69m9erVdHTou9z09HSWL1/OtGnTMJlMWISbFLMXWYIEk5eaLqlP8BEMVqLZyXzMdMF4BXz2+IWUVAjDliGaysASus7FgVd06WPJNTo4iQD0Q6jxJOFJRAFE40ldtTPqaqS00Oimok1fY5LmRZr1Vb2ucheivRIkAwKQIgAUMkp0ibI/mF3FTsSJd3VPpkibn8pdiJNrkCbcjjDZoXInIm9aSHyV8GdRCKFnZ6/Zh0gfzbYX/0bGyPHIsoHK/duZesdXAzZtUns1cnsF7ZUnePb+Wyi54hYWPaKnb/C785Zv03Fw+sgJCCEo3/o+qtdD8bzLOLjiaQBeuH0+wy+9ia2P/ZAp9zzC2Jv0qLYjr7qDEVfejhCC+d/9E12NdTx/43SK51/OpLu/hceSgseSQlI8JBWPoOHEQSp3rKfk2i9gMOuAUJIkZnz1xxGvV2gabz10M+ZYB7e8sisESPjLcpinVDBFAhNC8SB3ViMJDamrHpGQF1FCEg2EnI+a59MCUAZMkiTdAkwE5kQ6LoT4M/BngIkTJ35mXAqk/OkRA+HQVgWyESllUCCvRdQxJBmRPqoXyNEH00D1gegdtVEatkxPthUsfs2frtuuyMaouzs5yKVaCKEDFsUDqVFCNgu1O1OqBpV79Fgt9uReQCcwnp8qtyNV7abuw5dZ/7unKJ65GGdzIzVH9jBs0VU4MvRYEmLQJZA3g+Zd2/E5u1A8nh5RrqZC61mmff4bHEx5nhe/eDmTb/8K1z/yMKlSPUy9h+n3PsrL919Be00FQxZfhbujjaLZSwMv5w9/+1/EpmWROnQ0qUNGU71/O+62ZpwtTb0iu2qaxr7n/kD17o2kjp5KYtFwavZtpfTdlxlz58OYHYm91SdGM0Ou+yImR1KI1CRcFVNbW8uqVat4//338Xg8ABQVFXHppZcydmyPvYrX68WpaDxXnopRUmh0yWiar9e44Ya74W7N4cc+LdQfr4DPJr+I6qXXVglIkDwEOUqyzhBKHxnZdVVTo/OKwQv1eCxBBulSzkQ97orBrH8iUK/EfxmjwN0O6VECYfrPQVOhai+c3qjbqORGxqoBflG9G+nMFlp3vc77v36cnLFTMZjMnNn5IcWzLiGlWLfHUwrmoGSMpeXoEbyuLnwed8/6VRUM7RWMv/FezDFxvPnI7Yy+5k6u/MqXSaMK35hbGHvDF1n98G20154lZ9JcRl1TRWG3WkYIwY6//hyjxUbG6CkkFg6l7tg+XC2NdDU3BNZbMB186QnObHyHlOETyBg9mfojezi66hkm3v0IsUHRsIOlIJO+8ChGqx1FUQL1flAiSVJIEDdZlnt5+/jLgT4GK11j70FS3HoCSU2LCHwGAkIiSVgi0acFoFQBwYEpcrrrQkiSpIXAd4A5QgjPJ3Run1qSJAkm3KqLTgdgdyI0FWr262Lgbp1wYKwgd0JRuh7ReBJp/G1IJqu+qwnTDUuSFDGIkhBCT0ZojkUaeWVoH3sSRIgDI7oaoOWsvlMq6M5OnD9DBydBeUB6PdDOZmg5jcifibCnkBl3kCu/9V0yZlyD4nXTUnmauPRshBA0nj5O5Z6tjL7qNl5/9C5kk5kZ9z6CEILSTe+x7mdf5Yrr5lE8//PY7vgKTaePseNvv2Ofzc5Df/wpLoOV2LQUJCRUn4+Y1Cxmfum/dbWMx4Pi83L49X9gdSTR1VjDqGvu0s9ZVckcPz0QEA16AMq4u75F3uxlxGQXoigKFdvep3LrGnLmXErKqMkRY5dkzbsKRVEiqnVOnTrFypUr2bJlS+C/hiTZueL2LzB0pM7o/eHog8d1BwCHtxcoAXqBoEigJLjuY6aLvOI8SRp3MwgVyTzABKHV+3SAMiw0w7iUNgxp0feBbq/EmoNI429FssTqapYgcBLoE8V+Rtv/IgiBHKZqkqzxSGH/CyCczdBUCjkTkfOm6M+bPVk3tvfzr0iSE3cbouEEZE9BmONIchzhmke+R+KkS5FkmfoTh0gpHq7bkVSe5vTWdZRccSurv3svmuJjxn3fQdM0Kvdu4f0fPsDyq2ZRNO8mrHd8lebyExxY8TSHVxl4+P9+jku2Ykt2IBuNaD4fFkcik+/9DkIIvB43SDLHXv8HksnE3md/S/Giq7GnZCBUhYyx00M2BH4queUrZIyfRcKgkfh8Piq2r6diyxryZi7BkqSr38Jdiwct1ec0GKBEUt9IksT+l/7CqbUrWfqzvxGTnBYCUEKkJEY7kikGVLUXqAlWB0Wic/EA8tOnBaDsBAZLklSIzmxuAG4KbiBJ0jjgCWCJEKL+kz/FTydJyQNPzibJBph2X5/2H9BtDNtZ3y3NOMdgbkKDjlrdsG+gdHItNBzTXYT9AefMMRFz6YRQ2XqkukOIsbdA7hRE7hRGBm2C04eODiy0NT97iNNb3ydl0HAm3/IgQvSoI1qqTtNUWUGbSCAlIZ+0jERu+ft6/jivAIsjEVfJLXpbIbj6TyvxuZwBS/7SD9/mnf+6mwXf+T2X/fpFDrzyJIq7C3Osg67GWi756d/IGj8jYnh62Wyh/shedj72Axb88nlG3PggWdMWkVA8ss+w9eFSjH379rFy5Ur27t0L6LuhGTNmMNnSSXz9SbLyc0P+O1wlFE1NEw5EArc4rD68/cdMF3nFeVKfAdIitZ96L/RzO0VXo+6VqHqAc1jzfmqvOafmonQ91OxHsiUgkvWAbJLJBt0So4jgBKB8I3LVbjRzDCJnMiJnMsMm9DyzKUXDAm3X//Z7nHj/NRxZeYy/7gs4W5sC672jrprmqgqavHaS4gtIsCRx7V/f4a/LhiMbjDQP+lxgzEU/ehJvRxvmuHg0TaN67xbWfOdOJt//PRb//B8ceuUv+Jyd2FMz6WqoZc53HyNj/MyIEWYlg4nW8hPs+r8fsOBn/2DEdfeSOWEWKcPGBiQhwaAi+NplWe4FCIJVPELoxr0tZ07i6WzHnpQaIl3xX0/4f0RS5fRSC0UAOucCUj4VAEUIoUiS9CDwLrrr4FNCiMOSJP0A2CWEeB34JfoKeLn7os4KIc49RON/OA3EE0Aq+RxovgHl6hFdTeBpQ0rqzlMhyTDjy4RHjY3aXwgonAMJueDoFlWeeFdXBY24POILL1CXPwMRm64nvwpb0MFlxeOmYu9WYpLTSB8+jsxRE0NepopbD43tShyBaklAaBqSbODet4+CbAhIDTb+4ft4OtqZ961fBeoMFhvm2PhA6OqyDW9QOGc5e/72GwCyJ8/D5/OFqD8URcHn7OKtBy7HaIvB7EhAFaBJMjF5Q/B6vTh8dXQIOx5hDpFotJ06hGSxYUjKYOvWraxcuZLS0lIAzCYTs2dMY+llV5CUlITP60HzetBMFlSvNwTU9FeOBFygd8TYcOnJxw1QLvKKT46kCJKQXm1GXA5DlgwoV49wtUBXUyDSKxCSlXxA51Q4C2JTEYkFSIDwZ1AfdVUvI9kQPpA7FWFxBIxmI4Fw/7N+Zvt6zLEOssZOI2/y3BDJodelezd2xhbhMyfqbr5CcMvLOxH0GKrufubXtFefZeY3fxGQnkpGM+ZYB+1VZ7AkpHDmw7fInrKAg//8EwCpoyaFeOsFzlFTeecrVyHJBsyx8brhrQBH0Qh8Ph+xnjo8xlgUY1AuNEmi5dRhZKOJhMKhATDil3rU7ttKXFYejkzd0HXyfd9jwp0PYY6JC0hc/B9/n3B1TriHT7D6KBwURQIj/n598YxPBUABEEK8BbwVVve9oPLCXp0u0sdCkmzQsxH3Q0JTEAde0oMbzfp6wJ14QOqm4IfSkal/fE6QbIiGY+BzwbBLA0ZrvfqoXoQtCfKmo/p8bH/6NxTNWBQiNZGrdiHsKcjxeQxbeAVxGdlIsoymabjbW7HE6W6TGSPHkzNhJilFQ7Huewo1Ngt34SIMFhu7/v4H9r/6FFf9/lVKP3wHT3srs77+08B5ZY6dRlLRMHY/82tGXXsPc77zO+JzB9HVVE/KsDGkjZkWYFD+l7mrrRmD1U7GxNnY03IovuIOnfl5vQjVR4zazghlLw0ksZ8RgSBoisvJ/j88yiFfLNu7zNTV1QEQFxfH/OmTGVK6gSR7Bw6HA6/Xi6pqCNmoR7g9Bzfh8HKw1CVYmhIsQQmu+7jpIq/49JAkyQPyMBKaiji0Qs9+O+PLgZw85xqvRYpN0zP0+lwISda9Ap3NoCkIuWesYACC6gOLQ1cFaxrbn/ktOeOmk1XSs1GRa/ahmWMhoZChi6/GaLZiMJnRNA1XazPmuHhd0jJoJFljp5EyaCTxx15AsSTQkj0fyWji6Ov/YN9zf2TRj5/i7LZ1tFeV43F2YrDoeasSBo0kedhYjq58Cq/byZRv/JK47EK8XR3E5RaRPnFOIIii/7z8EpiMiXMxxTgYfqMO6Hw+n+5Vo3ZS2LGJDmMyJx0zekCAEGz47p2YYuJY+sS7IWCiq66S9d+/h9QRE1jwk2cAHbjIFpvuKSTLIYAmGJQEl4OBSzD4kLt5rP58SH0a4/ZHnxqAcpE+GdJOrtXtSiJ53ZwjiT3/gK4mKJgeCLgm3O1w8j3InYKUED3fTS9qPQu7nkYUzoaJd+uqoghiQ/0iNKStf0Qyx6JNuoeKvVtY/9vvcXrbeuyJKcz76g9xJDgwnHoXKTYDbdznWf7DJwLjbHrsR2x75jfc+Ne3yRw1kazRU7ju/17Ts7bu30RbTQXvP/UFxt90P6Ub38HZVIfi9XD1Y68jVCUAcvxMZNQ1d9FRU8Ghl//CpX9YRXxuMYt/9mwvw9jmsqM0HT/A/id/xtgvfo+xX/x+iH2JEIKx3h3UnznDydQhtFsz0YQObNra2njrrbd446yBDlcLAGlpaSxdupSZM2dilKDpAwvm3J7cO9ESB4bbk0RSP4WDjkhqnL7aXaR/fxJlH4AQSMVzP/pYB17SDfpzpwRsVIS3C3H8HaTsceeUQFV01ML2J/SxJtyhA5AI4MRP0vbH9bhFUx+g9ug+3v/fb5MzdhpxGdnMuu87JGRmYTr1Npo1EWXc3Sx69NeB53rX3//Apsd+yBW/foGcibNIGVLC5b99CaH6kE8coquxlvV/+wrDLruZM1vew93aiOJxs+DHT+FzOZHN1hBVavGS62mvKKX07RfImjyfmMw8pn/njz1SnO611H72FK3lxznw5x8x4ravM+pOPVRDsKp1WOdWWstPcjpjJEpMXohaRpIkht1wP8ZucBQMJGwpGQy96k6Sh5T0adTuN6T1l4MNasPVR8F10dQ8ker+LVQ8nxSJjjrEoVeRBi3o38XuM0hCU+HMVoTZft4AJeRhi03TgUTx/B7xalulnqrd6tDVNmF9ynd8wLs//QbL//tP5ATlpsFk16PF2pLArMcKIOzBDv3v9EAsk9zxM1j6vT9Qe2w/e1/6K8WzljBi6bX4hl6OZkvqpX6IzykkqWAIFkdiyMsZ2UTb6Ls4+fbLnFizkvjsQhpPHsKakIwjpzDQLjgDsBCCjPEzmfvdP9F48hBxeYPwer10NdSw+edfI3fWUgxmG/GDRrHhWzcTXzicmMx8jPHJIZmA/Qzx1OlGXvv1X0gaN5uCG79CXV0Fb7zxBu+9917AI6egoIBly5YxceLEANDwagL7tEsxCB/FtjaOtZjwKr1jl4SDkvDf4aoc/7wH10cDJZ8mD56PSsLZhNj/ElLhTKSMkn/16fxLSJzZCkK7IACF2DTwdCINXtjjStxRAzX7EQZzRIBSeWAHb3z3i1zy6P9SNHVez/o32SAmDezJSCabnp3Zf85h6l0hBFJcOgL9BZo+fCzL/vsxGkqPsPPvfyR3/AxGX30HnqFXopnsvcB6bGYuifmDscQnhcX/gZqi6zm9+T09CnRCCk2njmCw2IgvHIamaRiNll7q3cRh45j0zV/RdGQvcUUj8Hq9uNua2fO7R0kbNxNTTByJw8az5b9ux55ZgD0jD1NCSsAoPmR+6jp5+Vd/JaVkCmO+9BPweEJe+DnzrwYI5NYKlnoMvuYejJJGbNtxWi05YLSESE387YLLkiRhMBhCJCj+Y/556cudOZLqpz/6jwIouNt0A87OhojBvs6VhKcDseVPkD4yapKrTxNJsgGm3qu7Bp8H9ULCQ3tb2ZM2XN/VdCcPDO/TfOYUdccP0lpZTvboyT0H7MlUx0ziyHPPM+u+Qsz22J7+nnY92ZjB1IPSR9/YA2IkiTFX38FIj5uhC68kd8JMfcHEZqJZEwK7Ej/jGbH8BoYvu76X9EBytbDjxWdIzB/M5b95kfSREyicu5z2mgqeXDqMMTfex5gb7w/0K9/0Lht//nVmPvxrsqfMIzZHj+p65OU/c3zl06g+XbXSXn6ckru/Q/aMJSQNH0/6lIWByK6aptF2+hgHf/swOctupnPifJLGzaItpZD//d//ZfPmzQGgUFJSwrJlyxgyZEgAXPg/fiY4OqmLaWkuhGJld73+IohkWxLJviQ8xkm4pCQSMAmXrnxmQIqnQ1dddtZHyi5zziR8LsSWP0JiIfLoz12AET9+kibfQ79WsgMkedACPVR/8PjJg2Dinbp6NwK1VpZTd/wgTeUnKJoalGnXGk9d8kz2/fPvzLq3OJCBGNDTAhjMiCDVkTbq2pDntOSKW1C8XopmLCZnvJ7zRrWnoJocIc+0pmkUzV5G4aylIYBdVVVkdyv7X38Ja1IaC3/yDEmDRlK48Go66qp4+capFC36HCNvejAwTt3+rez834couftRMqcuInNmBoqqUv7uS5xa8Rc9vYXXQ2fFKQbf8CUyZiwlNncQWbOWI4QIqH66as6y7xdfJnvBNbgXfY60yQtIGjFBV/mEefFEciEOBhvJ3nJy3EeQFRf1McN6ARTQU2AEg5Lwsf1gww9EwqUsfnVPJCPagdB/FECRUofAnIcGFF5+gCOCwQSGf59pjBQRsj86l4dKkiRIKgxhCME0/tq7GDx3Gc7WZp6751Lmfun7ZI/Ww/fvfOEJDqz6OwVT51E8Y5He392GvO1PkFSEWtITrTxcnCiEwGC2kDdRd1OWa/ZhLn0HT/ElqOljIr5Mgz/m+v1oh95k+1/+QMqQEj7XHZI6PrcYTRMYrTZkoylMDaK/uKt2f0jmpDk9QMdgxGizM/XR32O0x1K15T3Sxs8kfapuGtHLMBUJ2WxGSAYOnzjFypPt7H7hycB8Tps2jWXLlpGbmxsCTAL9g8DGoSYjsjBzrEXuBUL6KgeDtUjzE5yYLJrqJ9z74N+ZpMQCmPOQHsX5ggwo6WqIfydeEdO/Qf1H/o8+PItGLbuO/Imz8Lmd/OOeS5lx90MUTNaz/O555Wl2/P2P5IyezIglerZ04XXClt+DIwvG3x7xWfaTwWQib9Js/SXacATryTdx587BnT4O6G38Hfzb2nqSuPL32P3kb4nNyOHSx3VeEZORiyZJGM1WZJMpRMUqus+jft8W0icv6AHyBiMGs5WSe/4LS1I6NVveIWX8bDK6gUl4+ggByGYLGAxgMDH4Fj1wZnAIewh1+w2WWASXGw0ZmMwe6o3Zgf8JHyM48my4oW34JxiI+PtomhZigxJ8LZHUP+EkfVYYSiSaOHGi2LVr17/6NM6ZhOIZUI6MPsfwdEL1XsiZqLvhnWv/CM+FcLXC7r/pgZjCUqoP5DkKbrNv5d9447/uZdHDPw9Ee+1srOXsrs0MW3Qlkt8FTvEgH34VkViIljMlZJxI315nJyZbDHJHNabT6/Dkz0ON1UP6h79YTU3HsFVvob1gGRv+8CMaDm1n7K1fJbZoDKc/eJOyNS+z+Ed/wZJWgGQwcnbbOpxNdRxd9TfyZy+jcMFVvHHvJSQPHUP+nMuwJqeTNGxcgJl1NdVjiksAenLjVG9cjS0jH3ve4ADj83g87NixgxWvvsopv0eO2czs2bO55JJLSE5ODgEi/tw74QAlUkh6/3WH28ME948kKekPlIT3Cb/HzzzzzG4hRIRoYZ9e+nfkF0LxgiE0JcQ5j+FzQeUuPU2G5TxchSON6elE7HoKKWP0R1YRHXl3BS995XrmPPhd5j7wXQC6mhso27qOEYuvRjJ0q4w0FQ6+hIjLCoSsh+jPrKerA5MtBjrrsJ5eizt7Ot7Y7IiSRlNbGYl1W2lIn822vz9BzY73GXPzgxgyh1J/YBtlbz3HjId+iSG9EMlgpP7gDjprznLm/RUkj5pMwbKb2fiNa7Bn5pO76FoMVjuJI3oykXvamjDFJYYAosad67AkpRFXPKoXf1W9bmSTpRcg8FOwWiX8058qJ7zsl6AEl/3qHn+74HJfKqLwMsDMmTPZs2dPxAf43wfO/4eQaK9GbP8LomAG8uCP4IxQtRtx6n09Y3D+tHM7h2hgQ/Xq6hZP58Da93F8zJW3kT50NOlDe4IrxSSnM/ySq0N35rIJteSGXuOE794Bdj//OOt//W2u/v3L5E+eizLqJv3FGkEdoWkaeLvYu/5D6jlBW3MLra1dpE1ciCkmjpZjO+loqOPNb9yMJSmTZb97lS2/eRRPRxsGs5nWs6cwxyex6NevoGmCtV+9CltqNknDxpA3/yqOPv9HWk/sZ9gdD5MxdRGqqtJVW8mp539PTP5Qhj34UzweD+vWrWPVqlXU1OjxIGIsZhYvW86CBQuw2WwgNCbENVDnMnKyw9rLqFZVVcYmezDLgs3VhhAxdCQgEklyEr5T9M9PNGlKJI+d8HtxkT5+El2NiK2PQc4EpGHLz3+gmv162HhNhQthbwJ6DCV3O8LT/pFUZEIIhi++intX7CBtcE9UWXtiCqOWXRdoA+hePaNviPpcBpcPvv4c7/7gQS792TMUz1lG5/DrI0oX/b8ln4tDW7ZR3raP9jYnba1dxAyfjikugVOvPkZXcwObf/E1FMnCnF++yMGnfoazvhqD1U5ndTmYLEz47l+QjEZ2fOdWjLFxJI2cQvLEeVSvW0HbkZ3kXHYn5pIZVFZWUnG6lIMrnsZptCOyBtPa2orT6cTr9eJxu1E8bgxGIyarDZPJRExMDHFxcWQ5jCQlJ2NLySMtLY3s7Gxyc3Mxm3XPynxjIzbNQyn5yLIhBKwYuoFeOCjxS1bCy/65jAaOw8FTsCFt8L3piy4ClE8bGa161NaWM2gHXkYefe35jZMzUQcnWWMH1HwgD4sUm4aY+0jANfB8gElwXcbwsb3q+nvpRWM4prI1xHsrcWTmYYlL6AVIwl+smqbhTBnN5s3H6Kh9n1tX7EU2GpGMJk6uXUXZ9s1Mvvp6yo8ep6WijB2P/4jMrCRaGwXt7S4qNq9h7D3fxpaapYOE+/6bzpqznFr1FMYYB/akFNoMBkyxCQF7E1NSGoXXfwklNpmXXnqJN998k9bWVgBSkpOYEqcxb/llpExaEJC42GUfI+M6STaZONZq6gVQNE1jUpoXmxE2Vgg0TURksOFgJXgegkFbX5474e0j3ZuLAOUTJINZ94jpqEPb9zzSmOt7xQIZEGWO1cHJAHnFQEiyJcLcb523vVs4+XkFROcXwb/D13/wMWP5BhJcp3Bk5WGNT+rFFyKtn464QWzaWkbL6WNc+pc1jL/v+8hGE1U7NlC2eT0jFy2lsbaRplNHOfDkz8jMiKfB10mn00fTge24WpswJ+oB0Abf/jCuukrKV/+dozVNnK5v4WSVSt3jz9HW+eewK++C+n0R58TnU3D79Bxbzc3NQFDGzCCSZZnMzEwKCwtZNsLBrOEZePKTMVljQoxc/WAjeM78oCW4PtxjJ5oUp69ysD1LX3QRoHzKSLInwbhbEJt/D7IRIbTzYjqSOQYKZkQ8pm17XM8UPOnOcz9B2djnS6g/UBKpri9Q0pfUJLgst55h5LA08l/ZjkBCU1VMNbtQrUmotmRUU2zIS7qt6gwr778cR1Y+07/yRSSzBQGoikJC0XCyJs6hXbOROmYa9Uf3ceLN5zBaLCgeD0gS9rRsVGQUrxefz0fKhDkkKgrWrEKsqVmMTe4k66bJrNx4gs1/+SGD7/keXdYE3thXypo1j+NyuQA9QZ3fI0eSJBRFwe12B4CIWwheLnfQ7gVPd+6gYKNYTdP4+yEJowwery8i+IgGSiJJRMLF4OHlvu7RRXDyyZJkdcCE2xAbfwNIoClRc930OY7JGp1X7HwaFDfytPvOfdxzjHESTgPlG9F4QqTnWQiBua2CIQXxZLy0FU3SpY7Whv0ohhgUazKKbEMLkjp2Ndax+itXY09OZ8ydD2OMjdc3HV4vtqwCUsdOp9MQj70wnbqDO6n68E1MNjs+lxMkCXNCMopsRPN4qK6uZuvxSnbv3s3R06Cc3B50dV1YZMjKziYrr4D09HSSk5NxOBzExcURExOD2WzGbDYHjE9VVcXn89HV1YXT6UQ4m6ltbKWmsZWGhgaqq6upra2lqqqKqqoqNm3S/8ls/gcjRoxg7NixjB07lqKiooiqnHC1jslkCoAao9EYUvbbwRi6E5/2N1Zf99lPFwHKp5IEGM2QM/n8dkT9Dq8RKUtpv93OEZhEqu8PmASXw7876mtoqzlLVsmkXoyoa+SNIDQE3Ujf0469ahOq2YHB205n1kycKaODXsoqquKl4dg+rPFJFC24CtBVI7GZecz81q956doJGG2xzPj2H2g4vIuUkqnU7FxP3oKrsCZnoIXvuISgct0KWo/tRfvioziHZtKhNtHgUnn/7y+wefe+AFAYMWIEl156KcOHDw+MoShKryBq3prTVMYmICwxIe2CwUWDs7caJ3gXGFwXSZIUzMSD5zSaKmeggPIifUJktEBGyYACJJ476bwifKf8r6C+JCfh7ZzNDTSUHSdn3LRAXYBXDLsGofgQshFNVUFxE1O1Ec1oJ0Fx0pYygbakMaFr2+ejpVR3I86bf1VgbZkTUhjz4I9Z+4UFSJLMqC//jObDO0kqmUr9zvWkTV9Cmyrz0suvsHnzZsrLy0PONcMCY8aOZuGssbjbFXybVpJ9w21Y84eFXGdf1y5JEgkJCXhqyjFmDGHo2KQQEODz+aipqaG8vJzS0lJOnjxJZWUl+/btY9++fQCkpqYydepUpk6dSklJCSaTKQA2/P8hy3KIMW24S7G/XXjwtkiGtOHePdHoopHsZ4SEpugqnf7ancf9vtASk8BvTUF05wUayEvvxfuu4OyOD7hr5W7iswtCjkcy4jS1lqGpPmIa9tKZMRW3PQvVnwSve3GVrX+DpMGjiEnPCXmp+zxuVt0yA1NMHMv+/F4vtYofJLSWHaWj6jRpk+Zx8PeP0lFxCs3tBLMV+dL7eXPtenbu3AnoC3Xy5MksXbqU/Px8oMd41g8wggGKt7Ea5yu/Qc4sxrT49qiB18Lrlw02kh8v8fgOFz7twhq/9gdQ/PSPf/zjopHsp5QGyiv+ldSLX2hKSA6xvqQmAK9+7UZOrHuD2/75IelDR4eoL8NdhjVNw9R+BqF4iW3cR1vSaLrsuXg9HjRN1SWymkbFljXEZhdiS88JjOdfsx9+aTnIBqb84mWEELhcLjZv3szatWs5cOBA4LysZhPjJkyk0FNLjqcBm+IGg5Gcu76PMSlDP0dNBdkQdc1FIqWtibonv4cpPY/0Wx7p5WYMoXFQ2traOHr0KJVHd7J17xHqW3rsCpOSkpg9ezbz5s2juLg4AFZkWe4lNfFLRKLVB7sp+/uHx1SZP38++/btu2gk+1klUboeUfYhTLkHyZHV+3gkwKB44NRaSB+pu1QOoE+f4w0UlHR/y2XrkCu2og65FC1jdK8XXaTFWXLFbSTmDSImNTPE+ySShEBoGpuff56UoiEUT5+PYnKgKQqv3rkQo8XGst+vQAhBzoxLdEDSHVApABR8Pj1qrCR1h40PBQ8d1eVUrn2VtrIjuGrOQIyDzppyTInpHCqvYuPZTip++gsAjLLEuGQrV3/1v0jP1M/dr67xM7lwgOI9uh3fltcgewgUlgQCNfnbBTPbcDuTZJuR1BgZSagoykcHJbIkSI81Ut3uC6kf6I72In16SJzZgjjxHky8I+K6j9hH9SFOrkVKGYSUMvjjPUEi8I3TG3VeNfgSyJ8W8YUdzgtKLr8Fa0IyiXnFEe2xggGKqqrseOUVYlIzGDxzPh5jLJrPx3vfvAGvs5OFv3kVVVVJHT9L3zgEpY7wSz390oDGxkbeeecd3nrrrYBdiMloZGRWEiXxRvLcdWQumEbT239HdiSguTrRXJ10lB3BHpNI82uP46s9Q/Lt30UyWQJrNdr8SJKE58QeOt77O6aCkViKR+N2uyN68UCPi7DVamXChAl8dWEe2eZL+M1Oja279rNjxw7q6+tZtWoVq1atoqioiCVLljBnzhzsdntAxeOXpvjHM5lMOuBAYPK48Fr1TPdGozEASgwGQ0DiEhwnpS+6CFA+C2SOAUtcRP1z1BdHezVU7NCT8oUxqnMFJ/21i1SWmkv1ZF9C7fXCi7Y7GrLwCgYvuDxim/BPV2Md+55/jMyCfKal1VFT+Dk0Yyz25HQMVlvICz2S9b5kNDH2i9/HYI/tZZhav28zLScOULv5bcyJqYDE0Sd+yDERx7ZaJ5VVTgBsJgNzp0xikkPF6mojNS2VrtKDyHFJuE4fxnP6MLGLb0UzhMdXEQiTFexxyKNmQnJ2ICmZqD+DMJgRjhSEqxOpsRI1rTAgEdI0jad3OzFIArcvctRX/9xZDDAy3cLuCieqiK7KuWZsAkuGO/jF2jqO1Loi3iv4bEWS/cySya5nGjecQxiDrgY4uxXhavlEAEovajihfwul16FwHuGn4tlLKJy5uBdfiNTH09nOvuf+SGJ6GvMK2jmbuQyXwYE1KQ3Z0sMrQiPJhvKL1Cvv5a2N2/npXXcFIj5nZ2czZ9xIRiWa8ex4B6M9FcUr0bjqCQwxDtJv+zadh7fTseVNXGWHEEYLki0Oye5AEwLfmWNIdgdKbTmek3uJXXwLkqV3XB5hsiDFOLCOnokpZ0iPKrj2DJLBgDEtF7wufBUnsA4eh9wtuRBCsLE5GYOURFa+keuKhnLttddy+vRptmzZwpYtWygrK+Oxxx7j6aef5rIF07nkiuvIyskLAA0IjZeS5TlJtvsEZxKm0WnrkTSFuxaH35NodFHF8xmkAYOIxpPgyEIyx5wXKIm2iwH06K0+V0/Y+rA2wtWK5G5FJOT3yTwiARGIbMQZLEEBqN63jWRTJ+mxCg3ps1AxhDCV4F1UuHTCeOQt1vzxNwy+9j5Spi2jdsc6VEXBlp7Dvp9/ifhh44nJG0TdwR1sPFnF9iaFdrcuYUhOTmZampUSpRazLJH70ONomoanuY7Gp/8HY2YhkjUW35nDxHzuG2C2gMXeCwgFzqumFGnbayhjF2Hc8SYiJh73gs9j2vseporDdE28DCU1v1/j1+D5Arh8ZCzLR8Tx1PZmtpx2RgUoo7OsLBzq4KltjTR3KSFt/BQOTp5//vmLKp7PEInGUxCbFkgIekHHFgJ8zoh8SAjdnozOBkRQOPxovCH8+fc/l31l8FYUhbrDu4mX2sh2KFQlTEbBGIj07DdEDbcV0zSN5uZmVj/7R15esxVf9xIYWVzAvLEjGDtzLhWPfxtLzmCshcNxlR7C11KPOXsQxsQ0YqdfqkeafvfveE/uASD+rh8jmcyozg46nv0hclI6cnIWyqm92K76MrI9DskaE3EeJUlCqS3H/d6zWGZcjnvDy0gWG/G3fx/XltfxHNhI7OLbsA7Rg9H1FwfF5/OxZ88e3n//fY4fPx74j8mTJ3PNNddQUlISouIxGo041CZy1TNUxozGZ3IEVDx+A1m/KihY3bN06VL2799/UcXzWabzAprJg6L2PR9QEvxbLl2LVLkDZfznEd2B0kJegBYHmjkOuhd96cZ3Ofbuq8x76OdYYnUmuOeFx2mrrmDWl/8nYGDVHygJZkopI8ajaRo1QuBua6GtspykwaMCTCel8zgGzUOlbXgIw1JVFcntwuNy43XpsQeO/e1XaIqXku/8mfR5V+FLLeCVZ5/gw4p2PN2MKScnJ+CR460qpXn105gLR/aoiCyxWCcsQkrJRsoowOheinvvOtRTezEs/yI4kkPAkj/1uuTxYPR5dVXU8BkoZrvOMHNGoMpGPI40RLdNTCRQEg3YbT3dhcUAB6pcvQxig+/Vvkon+yqdveovSkz+c0hKGfTxDV62AVG6ATHhjpDIsoFnzeJAmHuif5/evoE9Lz/Jood/QUxyGkII9r7yFHXH9jP/mz9HMoRuRMIlIOF2X4qikDRkND6fj3JVxdvZQeuZk8QVDg/0S/OUY9W6OE4hiqLidrt56623eOGFF+jq6gJgdEEW13z+Xlj1W7RD7+GZOJW4qUsxpudjOvAObdXl+nUZjJgnLg7k4jKMnI5Ucxo5oxCfALxeNNmEcdx8pPgUpJyhmEpm4zm2A+3oNoxL70ZOyY44lZrbhfB5UNxujBMvAZMZj8eDVDQWo6oi0vIDEp7wrMXB4MQPPCZMmMDkyZNpqi5n09rVvPHhXrZv38727dspKSnhxhtvDBjVKoqCR4ql1TQWo2pE0jwhKh6j0RiQvPjVPeGxUcLpIkD5jNPhd14hKbeYzJHjPvJYAwUnAJo9BUNsOsJoG1Cf4++8yNF3VzJ+4XzSZum5Mw6ufJbWqnKm3P0wZntMv7um8PqA7llV2fHYD6jY/C4LfvFPEgqHIYQgyVWGSfNwoMKLq6WJtG4ds6ZpOIcvY8bvFgU8deKHjaPl4DbKDuzmvVMtbPjrygCAKEqN54obb2XshEmBnZUlZxBpd/8gJFeOACwTF/XYkNgdCIsdbHFoRnMArAlNQ5w+AImZiNhEtMxivMu/hBZ2vUp8Gt64lH4lJoF7EmZjUtuh8Pye1oigJPz3RWDy2adj779OTHIauWOnfrJ/HJMCcemBjOh9kRCCY++8xJG3X2b0jCkUXX4fQggOrHqWmiN7mXbPt7AnpQbaBvfrS8rib6sqCgef/Q1nN7zOxId/S8KQMQghyNSqseNk71kvmzZu4vm1m6murgZg1KhR3HDD9eTnF6CqKvVFo+g6tBVfQyWx05ajaRrFmSbyTh/i0JkOzFOWhwAnOTkL23Xf7LWG5RI9rL/OK+K7eUUsmskCQWtQO30QKSENKTEd0gsw3PgdZEOPQbGmaUgJaRgnLUV0e89EIjnsWLAKJykznytvf5CF13SyZs0a3n33XQ4ePMjBgwcZOXIkd9xxB6NHjw6oe4JVOn4Vj3+u/XXB1xuNLgKUf2PqT2rSXlvJK1+7icwR4/jCq9v77TMQSYoQAjQV6fQGSCxCBNmvhLzoMsagZeiLmzAA4f8OLi+47+tMGeEgrSATV7fq5fJfP4+nswOj1RYiloVQSUk0C31N09j+x+9TuW0to2/9GhiMWFIyAxKNYzFTQFXY9+d7cdZWMPPXK5CtMb12WgCucZew+ngzu3/1p8AuYOLEiSxfvpyCgoKAoW1wpuOQ8PStjWhmG5LRFDKu1lILXa1o7U1oRou+uJtrMO16C9ILcU++IqK0KMBQw4xfI83v+XrknCsoOS8p3kX6VJC7o40XHriGpPxBfPndoxdsXCE0ROl6pPicqBnkpYwSSB8V8Zg+RujzOO/erzMqWyFneDFq9zN85a+eo6ulAVtiSkTbskhSE7+U0l/e98z/cub9lQy/5Stkul1Y03PxenXJ5S51KK1N9fzPf32TA3V6cLSsrKyABAEI8BXH/OuxDJvI1BGpVLs6Odtl4rDIReTnYMoTKKoK3ekqwl/UQghEV5tug2YMC4jZUgfOdtSWBlRrt0SpvQlp8wpEai7SgtsCcxYONILBRrhXD/SdwTjYQ8dms3HllVdyySWX8P777/P2229z+PBhHnroISZPnsytt97K4MGDe4GScIASbCT7kSQokh6I4xEhxE/6a3uRPn46l5eAIyOHJd/5DSlFwwassgnUu1rB2QTdet+Qdl31yGe3oHXWoyXk9xor0s6lv7KcPhTHlf+D02DRJQhCYE/JwJacHmKcFv6SjiTKDf5tsNox2WNJGTOdjOk9Hju1+7Zw9r2XGXrr1ym65l5cTXUIkxWv1xuQjPh8Pnbt2sWqVas4ckSP0WgxGbhq3gTGzLuK9PR03bYkzCMnHKCorQ24V/wOKW84hlmfCwVRQ6ch4jPQ4lLR/Hru2CS0YTPwJfW4RX9SoCS83B8wCe935MgRRo4c2Wefi/TpI2tcPJf+z2M4MnLOua/wdEB7jZ6MNZxcrVD2ASIhPypAGYjkLvjblFpI5s2/QjXaAs9zTEo69uS0iCkd/Ost2PMmGKD4c1vJZisGeyyOwWNInjgfn8+H1+ul5fh+Vj31f7x5qh6n04XZaOTqz32OxYsXAwT6+4EPQGJ2NhNT2jjT4eNUi72XnZv/WnpJPZ3tSKv/D9LyUWfqUcT9baTiCUj2eLTETOjObow1DrlkHiIxA+H1hsxjMBDxf0fy6PEfCw917y8He+v4y0ajkeXL9ZQc7777Lm+//TY7duxg586dLFy4kFtvvZWUlJQQDydFUQJB5oLH7+udNiAjWUmStgghpvfb8FNGnzWjt/PZoZ6rxMRfL+17Dqm5FG3yFxExqb36SI0n0WJSwRofUt/Xd3g50u/wj6m1jLiqD2jNXYjHltGL+UAEV1ufC002oyo+vC4nBostRAetaRrHX/o/zrzzAqPu/wFxg0qQjGa8Ha3UbnqLuPFz2Lp7PytWrKCiogIAu93O/PnzueOymbjcUL9/G3ETFoDJgqIoOA9vBbsD5453kWxx2BfdgvvIdnx71mKcez3KvvWQMxRpkG4XI/atg6rj+GbfiDDbel1X+DxEsr+JNHfhtiThc9/XPQovnws48dOaNWtYtGgRL7zwwkUj2f8Q0va/CHWHkSbfjZSQ1+u4aDwJ9mQ9SnYEGihA6euZF0IgtZZjObkaV8EifPEFIRGXgwGKz+frOeZ14tVkVEXB09WJMPakk/D5fDQ1NfGL7z7C/jKdD4wdPZrb7riDxBgbbbvXYR0+GcnuiCilybO7qWvqpPnATuShk5G6pbNq2QEwWRDHtwMSYs4NiDOHkfa9jzrlMuQTO9FSctAG61ne5WPbMJw5gHfWDWCLYyAUHgCtr+SBwZ/g5H/+fuFxTCLFO3E6nbz++uusWbMGVVWx2WzccMMNXH311dhstkBfv5uywWAIlK+//noOHz78kYxkD0iS9H3gh0KcRwjSi3Te9EmCkmDSsichxaQibEmRGUbyIL0cxjjCv/uToET6BL9kjT4XsuJC+NwoJqVnN+FuRSCjGHrAB0B8xwmyO/ZRFjeF9//vd9Qf2M7snz+PKS6B+v3bqNu1gaJrvkD20ptJHDeb0hf+gLvx14x69HHObljNmy/+gx1/fZnWTt0oNDExkUsuuYQ5c+ZgNptpFYKqZx9F62xBM1mxjpqBr6uDjrXPg8kCZhuyquqSmK52hLtTZ1qz9WRkdO/eDK4OZFcnqs+HJpsigpJoczJQUDKQ7/Dy+YCS4PqEhAQOHjzY5xgX6bNFUs4khCUO4jIiH+/DNflcwEl/vEPyuZF8XQjFHQALqqoie9oRqopPsoZIUBxd5eS276TUNoYNf3uWmu3vM+G/nsCclEbLif2sffk5XtpbRlt7OzarlcuGpDGCchxWM62HttH6wUpinF3YpiyNCFBOuMGz6ilobwRNQxo5C6EqiC0rwWDUbdAkGcXnQ3Y7MXi60BQfypQr9GvqlsaYXJ3g7kL1ehAmW582JCHzHsENOJIUxf8dDFL87cMBSiRpiizLWCwWbrjhBubNm8fzzz/Pvn37ePrpp1mzZg0PPPAAY8aMwWg0BqQp/rLfWDYaDRSgJAFzgPskSdoOHAAOCCFeHmD/iwQIrxMajnWHpe47T8UnAUz6Yg6kDEZLHtTrWH+7m/DfkRiJvz74xRosDQlu2xlXTPugPJAMAXWH0BSKqt5AkW2cSl8WInVwY8Etx+DWjNjScojJqEGTdJe5qi3v0LBzPcmT5hOTPxRjciamxDTqzp7mj9/9BltP19Pl0gAnqXYTSxctZObyqwK5JfyiXFN2Eb6ackRMIu3rX9aN14xm8HkwzLwadf8HeEsPIIZNRRRPQJFltCDbFE3T8I1eCKPmQf1ZhNGMlpBOQYIMQnCqSe01P5HmNFyNE+2e9AVc/HPeHw0U2Hq9Xurr6wHGSJL0Ghd5xXmRUNxQdwTSRyEZP44Q9heOpOQipOSi/huG0UB4XKTnOxyc+9eBklCMa+wDCEkOkZqkla0AJMpyrwkAFJ/PhxsTbtmOUzViSc3UI8QajLjdbv7y+P+x9lAZoKeluPvuu9F2vk3n4W3Uv/0s9jGziZl1FVJyNs0v/i/mMXOR80K9ATVNg/QCUHxo8RmwYzXCFo9sNCMpXjzDZ2I6uQNx+gDevFGI7GFoSAH7FD8pw2cihkzF0FIDXe1oSVnkxctYjRInmnoHYIToSfii2aAEgxa/WzD0qHiCc+n4AUqwPYkfbCQlJfHVr36Vw4cP849//IPKykoeffRR5s2bx5133klaWlqIMW5wwM1INCCAIoS4rvsiLMBIoASYDFxkOudA4sxmOL1RTz+ePT56u09IatJXG/9vuWw9UvVulPF36plTg44P9OU40HL4izdQRg7YpejHJFpjilEkcy8m1WpMoyl2DkIIiq68k4LL7wgwq8Jrvkjq1MWY4pNRfF6qa2p5v6aTt452ogg91POQIUOYP7KQtMNrSUg0ITwuFElCGM14W5vAGkPswptRVZW2v/0PwtUJZisoXkjMQKsuheZqtNK9iJRc3TtHhKqkAuBDVYnd+RoAHbNv5Z6F2cgyfHN1i77T8LpI2vEqnuR82oZMjwjuwuc/EgAJ//1xgROA6dN1TfCLL754APgfLvKK86OzOxCn1iIpHsif9q8+mwGROL0RUfahruqJS/9oY/WzoYrKSyS59yYnfmhEO7V2QzL77LPx+XzkLr6ezPnXUFNTw8+//wOOHClDliWuvfIKll56GUKSSZs7l90HPsRzYg9KSx0J130D18n9aA2VKFUnMabl6y9ckwWtq11f+xMuQRu3COnNx5CcbQiTBRQvakwCcmsdUkstBsmANyVPN4wl8joVkkzMztdACDpm3sjtc/NwWCUefqcdVQNJ9eHY9DxKYibOMXqAumCQ4i8H845goBAsfQm2cQvvH0kqE3yefkAzatQofvSjH/H222/z2muvsX79enbt2sV9993H/Pnzo/YPp3Py4hFCeIA93Z+LdI4kZU/QH7+0Yb2OnSso6a/9OUtMiPwSE0hIkoyAAEgIbjMQwOGvj2RHERWUiB6DMn/Zb9gGUGnX45mIbsv5SNb6wUarmqahGc0oqsbaRz/PTimd/WdqAuOVZCVy7fIF5E1fRuvejbQc0Y26ap78PrLFTuziW2h7+TeYh0/FMuMK/T9sceDqBK9bn5CWWt0rB6D6FLzzF5Ql9/YwhYYKNLsDrTvxH0j4UvIwttaiqCovHuhEloJ2Fd1thEQvgBPtHkSqDz92oUFJlONCCHGRV5wvZY0BxQ0Z0b1bPnUkSSDJ+nc/NCDeE4W/9GV/Frze/QHVGhPG6B523ZIJb3cGcn8bfxqJgwcP8uMf/5jW1lYSExO558bPYVv3DPWGVhxzP0dbTTlfePSLvLBiC45BI2jzeVC8ekwRVRMor/0JVAXm34J4+89oOUNRJ12KEAKDLRajsw183TFIulqRT+0GwNBcRcz6Z2mb93nwSy5aatDMdrQgmxNvaiGmprOoqsqKQ13EmGW8vm4woag6OBOgKEpEcBJcDk7cF3wsWDoCod49wflzIuXf8UtagmOfLF++nKlTp/L0009z+PBhfvGLX7Bu3ToefPBBsrKyLpiK5yJdAJLsSUiDF4XUXUhgMtCXSl+Sj/A6tWA2Sv6sQN25SENkTxuxJ1biSh2DJ3V0RFACoUwmGKD461Oad2H3NlGWNBtVyAEg0hcoCa731+3evZsVL7/E4TMqUI1BliiJk1gwcTSxVYdZmuXBbWnh4OBxOISAuCTEvg1IyZmoZhtyWj4kZwXciXF2uxvOWUJHaxvtp0+iZg0Gsw2prhxhMMLxHagFoxGdrcRufQVfci6dEy8LXGv72KWBedhx1h0K7Axmaqdcp19n0K4m/H71df/OBZicLygZaJuLNHCSrPFIQxb/q0/jnEgqmIlUMPP8Ons6YM+ziIzREDZGf5ufYH5hr9mGpf0M9XnLUDU5ZP1Hci32l9euXcsf/vAHFEVhxIgR3H///ViEQv3xQZgy8mnb8R41297idPEYvKX7mTg4CW9iMZuyBiNNuxIRl4Qo24+IS0YzmpFTctASswK8yOjsQABJk2bjdrnpLD+JJ7UQYbFjbK4GoWEu348reziS6iVhx0oURyotE68MzEPbqAWB8p4qT+iak2Sapl2vl/tY5+GeO/7v8GzD4eqe4OP+30L05NLxz7+/3t9OCEFiYiLf+MY32Lx5M88//zy7du3igQce4P7772fevHkXDqBIknSZEOKNc+lzkSLT+TD0Cw1O+itH+o40XlQG4nMje9uRvR0hTASi74LCpSaqqmJWOjEpnWiKDxVjVIACvbMDezweNm7cyMqVKwOpzm02G/PmzWPu2BGYTu1g2cxCtm0zI+WO4FR1J62b3sOUPxwUHygKhqxBYI3FsuzuEIYYm5aGu9bLzUuH0eiRefr7WzG2NyIkGc+82zCU7sZy5ENUSwxKWgGe/NH4EjN7zUM05vtJGr9Go48ATuLP6w8v0meeIvIk1QuuFnC3BeoiSQH7AipCCAzedgy+doTqQxOmHumpFupy7C/7fD6efvppXnnlFQAWLVrEzTffHEgSmnLdV/X2dRXYWuu4YsEwdmwRiOwhHK3qQtu+DpGWD0IDxYdIzUMzWlBmXKuv7e7/iU1Lx1Pt4o7LR+M12vnTozuxd+5BINE25WrMtaeIObkV1WDCnTkYZ95olNjk6PPVx7yG258E/w6WjAghAoAi3HjWT+HGtcFj9mWE6z+fYMPbWbNmMW7cOJ588kn27t3LL3/5S7Zu3donjzmnXDySJB0QQowecId/MX2a3AYvNCDp6/jHBUqCy6azHyK7WnANWo5AisowNMWDkHQc3JdoNhJAaSk7hqu9hZTh40GoKBq9QEmc2oqqabRoMYGxFEXB5XKxZs0aXnvtNRobGwGIj48PeORYrVY0TcMiKSxNr6e0w8zOplicBzbh/PBVAIwjpmEcv5AlRQJFE7x9OjSE9p0lKulWlTVnZarbBUlntnNq63Z8kpGuEXMRmobsasedOwpN6vH3DwclxpZqhGzEG5vcrxqnr3sVXv64JCYDeZZfeukllxCid2azTzF9mvjFZ4lE2QeI1gqksTeAZOh93P8cK16QjQErjHCVcDDvCJaYKopC0+njtNdWkjl2OpriRUUOxDQSQlfrmN2NoCk0qTH4fD48Hg+/+tWv2LhxI7Isc/vttzN79uzA+MHxjXw+HwahcMNgF6fbJNaUS4jyQ7B1FQBq3kh8oxewfJgFmxGeP+gJ4YP3TrJRFA9vnvRR1aaQWn+Y01u24NNkmofMBCEwuNpxZQ1HGE1R17SpvR4AnyMt5Hg0o1iIrOLxl4N/RzKYDZaeACEqnmDpSnA52P04WN1jMpkwmUxIksTmzZt57rnncLvdFBUVUVpaekFy8fSvXLxIvejTIC0J/t3Xy85fFkIgt1cht53BlzUZul+w/nbGtjPI7hY0xYeQjSHHQlQ5krFPUOKvD1i902ODsf3XD9NVX83ix99Bttiwe+qJVduoNOShdvcp0faBkHjPNwGAlpYW3nzzTd5++206OnQVTGZmJsuWLWPq1KmojdV07XoPw8RFCNmATwieO2Ki7aX/xVgwCvOUpRjdbpQdq1HKD2OauIhhiQoeFd5sqkfsfhdtxAzU5BxeOgqxRonyVp0J1ta4kWUTbRMuJ27LyyBJNM+/K3BNRhlMBgmnGiQd0VSSD7yDZrRSPfnaXvfhqtEOlo9wsGJ/K28ebh/Q/buoyrlInzSJ9mpoOA6Fs5Dk0NeKaC6D1ko9c7opFLOGPL8GU588yl8OlzIKIVj346/QePIQn/v7h1gTUzE564jtqqLWOghN6OtvqGs3RnxsYAZtbW385Cc/Yf/+/dhsNr50370MHzEyNEFgUw3u47sxlcxGlQ14VY2/7tVQVz+BSMlBm7gUbdwlGPe+i1xzCsYuYmyGjCxJ0NGC7eA63AVj8KXm89zeTpLtBk426sHUaiucWIRMfckSkg68i6y4qZ15O0KSQNMwSGAxQpc3dF1nHHwPhKBq2k297sHiobF8boyD94538sr+9hD1i5/6k4KEux8LIUKAS/g4wWqdYPVROGgKB0IzZsxgxIgRbNu2jb42BecKUC5yp3OgT0pqMlBgEqkshKBq/3YS8wZhS0gKqTdWbsHQUobiyEeLzQhhDB1DrgHVhyYZIIhRQChACS+Hg5LgcrAERdM0hnzuCzgb6wLB0HK9p4gXrdSJRDyaHhb+OAWomkZ1dTWvvfYaa9euxdsdUTHbJjN/eD7zv/Q9QGdSrdvfxXV0B1JqHqbcIT0SG8WHULxoAowjpiI0BWGLIz9OxWyAI42gHfwQueEs0gEv2pybaalpoP3AOhg0CTU5B49XweT1EbtjFcJowlk8KXDdAPdNdZCXaOQ7bzfiVAWy143B1UZr4SQ0Q+9dkxACQ/e6NhqkjwxMIj0b0erOp81F+uxT1cGdxGfmEZsS6qUjyjdD7UGkhHwIczmWxt4ManRwEk7hEtuo0tmgzc64W75E0+njWBL06KVprQeJdVfTLCXSKcejKAplhmJkzUdDYxPf/e53KS0tJT4+nm985SuI135L9b5Mkq/7WoAfOfdvxHdkKyI+DXKH9aiVVQWhKqiaQMsfhVC8CIOJXAfEmGUO1Powle3G1FKF5OnCk5xLW2ML6vFNmHNG4UnJw+NTMCoqiYfWIgmV9sJJaPpFA3D31ARGZFj4zuo62twa+NyYnW20FEyAMImqnwxS9+ZRJsDXogVsC59rP1jxA4tIvCTcdkVRlICkJLhNsLonvC8QCAKXnJzMZZddxs6dOyM+B3DRSPaC06cZlET6rjt+gH/csYjB8y/jil88G6gXQuDOm4ecNAzFnoYIAhBCCAQGhCz3ro8ARIIZieLzIsmGXiGpIxm5Jo+bRUKQqPWIKMKudVK2dweyPRZ73lDWlDazYsUKtmzZEriuMWPGsPSSxTj2voU5qzhgsa+qKtbJS/A21dB1YCP2dD2HjmYwY7nhEYQQeKpKUbe+BuMXI9ILOVrWyJOHy2lIG4V31FyMBiOa3YHaXIvx9F6MTZVInS2I4okolhi6ZtxAzLFNaAYjzsyhIfNzutmLKgQen4qqaiQc34i9pZKaMZfii0nskVz53GQcXUdnSgEvasN4cU9LVJAZzEjsZplvLcpid0UXrx9oOafnJxJdBCUXKZiaz5byl+tmUDRtPrc99U7IMWnwIkgZDEHZiAPHjGYwmvvcKPm/gyWxqs8XMTNxsPG7X8WTPWU+GRPnBPLhVMWMwmRI5+S+g0gGA7HFJZz1JdLc1Mi3HnmYyspK0tPTeeihh0iId9CQWYickBbIMKyqKvKoWUiNVXiP7YC0Qj1xqJBQl9yrr7umGsy7V+MZMg1fehGnzjbxWGkFDclD6SqahKaqqJY4pNZ6zHWnsLRUY+xogvzxqAYTdROuxFG+B0lVaM8cFmIIX97sxW6Wcfn0a04q20ls42lqR12CJy41AGQkxUv60fdxJWSzWoxm9ZGOkLkPl2T4wYPZIPH1OSmcaPCy8qAumY2k4gkGLf42wXYlwUa1frASru7x/6fJZAoJle8v97WxughQLiBdaHAyUFF8tN/97bgBEnKLKLniVopnLenNKKwJqJb4fncyfgZicDfjM8WHZN0NZiyla1ey44/fY/ojvyNj3IyINiiRwIr/WIdmpbHLx4mnfkKFIYE95hz2798P6Kh8+vTpLF26lMzMbkPUIUMDroaapuHr6sC5+320rnZwdfXy9gH0Y+1NiM5WRNMWqDxGVUst3hkOtIQMhKpgPrYVqaka2aXHThGSTMyRD/QJdXYErO2lzhZUSwzIOpNdebADg7uD2IqDKFkj6EorRjNZ8VliQ+ZSUryYXG2YXNFVOtBbYmI1yuQkmqlt953T83O+bS7SfxY5MnKYcN3dFEya3euYZEsA29iofXs9T10NYEsC2RDx+LE1q1j50K1c9tOnGLrwyj75TiQDWJ8cQ5vByL4/3IjRGsPkn72AqeEg//3oz6isaiY3N5dHH30Uu92O1+sl8cr78Pl8Pe7Hbie+gx8iXF2geNBUFSVs0yW5OpA7W5C6WjGd3oep9hSNrbV0jDajJuUCEFe+C29LBULrli4bzSSUbgXA0NVK0yA9bpDR1Y5qsumef8Cbh9t5e28t8ZWHUDKH0pWcj5AkPFZHyFzJqg+Tsw3FHDPgNStJEmaDRFa8iS5vqOQbektZ/Pcn3P3YP1Z4lNnw//J/+yU6wVIbg6G3TVIwnStAqTvH9v8RdK7M/EJITMLrBrI7Cf8WQmAyyiy9736UxEG9Fr+/XbDhZnjZ39bScoLkmg20pEyiLWFkiD1J4KE2WzHHJSJ3q2wUn499j/8AW2oWRVfcEbJD8peDswN7vV42btnGK21JnK1rAJqwWc3cuWQCY+ddiSleT97nrKtE7WzDlF0cSN6laRqeypN4Dm3GOGwyxklLAwZ0IfYvWYPhii8zJNXEySd/AxYbvhGz8CVkQHMtpqrjqHHJuAdNBp8XuasZX0wShuZqJKHhytAzeZra6kje+yZdmcNoHTQ1ML69oZzY2hP4rHG0Zw7HmZSrz3XQvPsssZwZdxWabAjslPoCJn5qdio8+OLp7l1X7+OfMDDxXaiBLtKngwwyXHrf/RHjOJ0LiYbjsO+fUDgbUTQv9JifL9ljsSUkY7LFBOre+9FXMMc6mH7/dyNuYvzf/k2JoigMu+NhMJioqqrivx79JVW1zRQX5vH1b34Lu92Oq6Ead2MtxpzBoa7IdWfRjm6D/JFoE5agBEuB/fGYUvLomH8XI3JiqHjuMQQynUWTcCdmIztbsdccx2eLp71Aj39l6mjEHZuCpaUaCYEzpQAAU1cLGfvfpCulgKbBMwPzYG2pIq7uBKrRQktOCc6ELP8kBeZLMdk4O+4qhMFAxEUfaf6FoMMjeOi1anyqQAhCgEO4LUo0d2RN0wIAQ4iezMR+ft2XPUow4OmL55xroLZF/bf6dJLwueDsNsgej9Sd4O68x7rAkpJoxz8uUBJcNldswVyzC2fxMnxJQwPHBgJKQoxhjfG4rOk4zUmBXQgQAjbSJsxm0dgZAbDhcXZSu/sD7Ok55Cy9KfDQJ6n1yEKhWksJeOS8//77vPbaa/4w6jgcDhYtWsS8efOw2WwBq3tN02h6/S+oTTXE3/H9QCI+X30FvsYajHOuR8oowKcJNMXbswvzuDC8/ywiLZ+SxQv43AgTK6+9gV07j2Aq24uaWoDqSEUbvwzVGodiT9Cv0ZFGzMltWBrKEQYTho4GWobNQdVU3XNH0UXOss9N+sF3cCZm0zBkFs6ErF5gMORe+W1SwnY3/T0/Tm/kZ6K/fh+VIoxz8oIM/C8goXjg7FbIGB01wd1/JJ3ZiihdhzT8MsidNOBuvZ4NewokFiLi8wLHw/lSwdR5PLDmZM9Gxefj1IbVWB0JTLn32wG+Ymo/g9HTQYtNTw7o99zxB2BLGD2D+vp6HnnoIerqGigqKuIb3/wmJpMJr9dL01vP4KsuI/aGbyFi4vVEgs21qLVnUKddhZqYiRASqqr0gCKfl9itr6A6UihesIg7HMKMrwAAgU5JREFUJ8bwuvdaNm05gq3yEK6kHLz2BBpHLUIxmPHFJiOEwBWTjKNiP7H1pShGC5b2euqHzkYTGkIyIKn6ZkxSfWQdfg93bAp1g2bijM/oc536pS7RAEp4Xz9AcHpD64K//RRuTxKs4okmDQlW/QSr+xVFCXjxBPIkXVTxdFPdYUTpehAa0qAF/bf/BGkg4KSv3+FAJLyur76+lBGgKShxuX0CGegd/TX44zHFU52ph1jWgnY34eobWXFi0Lw4pRhkk4WpP/wbdllFKE7cmNE0jRGcwigpHG6RWb36LVavXk17u67uSE9PZ/ny5UybNg2jsXdMFEVRsE5YgNpShzDbeqQve9ehnT2K4ZI7EUZLz3kpClpTFYkpCXg0F6rq4nijypazEidECshGJK8bVH3XJHe0ELvnLdrGLMGbnIuhownZ04WseNBUBauzlZS9b9KePQokCdUS6590ZJ8Hg+KjKykvRGoS6b7kJZpo6FBw+rQBg5N/Bf0r//tjo4YTiFPrwOtEGrbsX302nx7KKAFvJ6QOHXCXiM+HPQkm3N7rhdqrrc+J5G5Hs6ciyTI3/eMDDEoXkqcNIdsRQpBUvxWT0klLRiaakHvxm5aWFr797W9TV1dHUVERjzzySACcaJqGddw8pPQChN3RoyY6tAnKD6LN+BzCYg/wGKGqGFprcaQkY8GDT/NwvN7LhlInh90OhNGE7PP08ApXBxml22gYMhtXSj5GZxsGT5fOB4SE0dlK1v7VNOeOAUlCsejSIknTkH1uZMVLV7eqqK91lptopsWp0OmJzieCgUfwWOFSjkhgJriPpvUEYAtW5/hBh/9YuDQmOIBbcNv+6JzioPy7UXBcA6F4oXovZIxCMsec81gXXGrSehZxbDUMWQqJ+VH7BHbRYQ9KcHkg332Vw3fy4UAkksFruAQlkheOv02wOHZ45yZitA52WGbh0QxImsIMdTNuYWaTNg5VVXHXneLFVat5Y81GPB49NHRRURHLli1j/PjxIQhc0zQ8tWdoW/0U1nHzMY+YEjmqbEs9Wv1ZROHokGPy0c0Yj27BkpDE9BmjaMidyJazvtB50FQE+n+aG04Te2IbzrxRuJMLSN32AubUTJRJi2k+dhxbUzkGTxcmdwd1IxfhdqQH3UcNQf/3MTfexI+vyGVHeSe/31Ab8jzEtNWgGs24Bpi6/nzbfNQxXn755d1CiIkf+Y8+QfLzC6EpULUHUochWR3/6tNCtNcgDq1AGrK4z8zA0Fuc/q+maJujSDwIQuOdmA7+E7mtgs4xd6EYY1AUheSDf0FIBiqLbtAlKF01aJ5OWk0ZASmqX4Lb2NjIt771LU6fPk1ubq4OTtwd1L74WywjpmIbPz8k1L1f8qK1NyNqy/DljEDrPkdVVTGV7cF2bDOm+EQmTx5GR9Ek1pxwhkiYhaaiiW4VTWs1iaXb6EgfTGf6EHJ3vowhPhFt6jIajp8gpqUSo7sds6eTmsGzcCXm9MyX0PS0Af3MZ0qMgV9dncfhGhe/XBvKK2xttQjZgCcoZko49RUjJbwcXhes/glXBQVnQPYDEYPBEIiJ4i/Lsszjjz9OVVXV+cdBkSTpJHAQ2A/sA/YLIcoH0negJEnSEuB3gAH4qxDiZ2HHZwO/BUYDNwghXjmn8Y1myJtyTud0wUFJ8HFnM1JnHcLVjEjIizqGVLMf6fhqtNE3IBILo4KQ8LpoDOB8QUlweSCgJNiexG8HoqoqtWRgl2Lp8miomr7TOEsqLs3I8ZPHWblyJZs2bQr85+jRo1m6dClDh+oJv3w+H76WeohNpGv72zj3bsCQnofW0Yyn7AAibziq1wPWmNDdlD0eLW+kLjEJrk/JQ6RWIZoq2XKwhnrVE2LkS0stmjUWYbYhdbXiOPIBIBF3chsxpTr4HV6QTJyphs1l22jLHok7cziJZ3bjOLsf97C5aN1xIfSp1gMyKda4XvdP0zTMXS2Y9mzgb22jacsNi4moeMkq3YTPHMPpkUsH/MwNtM2FGOPtt98mPj4eIFOSpCv4d+QVshFyJ1+gs70A5G6FzjroatQ9ZaKQqDuMOPAKjLkOKW34J3d+0c6nHwlJf/zKlzwC2RSHarAGNiTOpBGoQgrYprnkBLwGO2p3+gl/nh2n08n3vvc9Tp8+TUZGBl9YMImGx76JpWAEalsjnrKDGIZNwefsRDFZAxsWn8+HsMSg5Y4M2Jr4+Zgan4mcnItoqWHbgQpqlRGoao8NhdTegDDaEBYbsqeL5BObAEg6u4/4ysOAYHB+CvlJbbxXvoO2tMG0ZAwl5cweEmqO4opJRhgt3bMjgRCY3B34LLFoEdaeyd1O3N51PNU8DGXYpFBJqxBknfwQ1WiibPQVUaUVgXMPU9dEKwdLVILvZ7C7cXCU2mCA4n83+A1qL6SK5wmgCGgClgLPSZJ0GlgJ/FAI8ZEM4iRJMgB/AhYBlcBOSZJeF0IcCWp2FrgD+OZH+a+B0oUGJ72OZY5BJBUhzLF9thOSjGQw6Rl9+wEn/UlMWqvOsO4XDzH+pvvInTh7QMAlUn2w9CQ4lknwsWCwElxfKWUiEGhaj2HbCwdaWbFiBXv26Hnl/IF8li5dSk5OTshYzuN7aF39JPbplyJkI5LRhHnUTHwJ6ZjGzsP9zlOI5lrIHYY8/aoQsBGcPTMAwhIy8E66HDxO2o1mhLMdg7MdX2ImxoazxO97C81opmHWbUiqgpAk3SjW40T26UkCD+w6jG3uYNpySuhMLUaxxmI6tgEz7Vja63AlZAfmM66hlNTTO6gvmESXIxOzux2XQzfujbPIFJ7cjltT2F3pplnrCn0uDCbqcsehmGwDeubOpc2FGqOoqIiuri4Ahf8QXvFxk5Q2HOY8hGSJ66ehAQymiNFaz5U66mt4/btfZOL19zB0/qUfebxgirSp8peDf/tSR6ImDeuu0zdD7WmTdeDQLfXw9wvmET6fj5///OccO3YMhxHunTsWR1wsrSYLtpHTICYBQ8ksnO8+g1pzGrIGwYyr+4yILYRAiUmkbcwS8LpRJRnZ1YW5sxlXfAbm9gbSDr6NkA1UTr2pOx+OwGtLwOB1Iqk+ZA2OHzhBZeJgmrNG0pmUj8/mwOTtRHar2Ntq6EwuCFy/vekMWae30ZA9mvakAiyuFpyODABsJpnhZ3fRqfo4XOuiwRTqXowkUZc/UTe0J9SGrS8vnf7KPcOHCjz8wCO8nV+lE1wO9ubpT309UIByixBibNDJPQ7cCbQDvwa+NMBxotFk4JQQoqx7/BeAK4AA0/HvwiRJOr+kIgOgjx2UhNd3g5O+dhoibSRa2ki9LmwBDwSUBC+whlOHObNtHSmDR5EV5OYLkSUlweVIwCNcUhKtHCl5n6IobN68mVWrVnHq1Cl9OkxG5s6bzyWLF5GSnIyiiYCuWIhuj564JAwZBZCYiSGzCPtI/TrktAJ8mgbphdDeBGePooxdhGay9AJLcs0phKqixadhrD6BN2ckwmAGAbEH38fcUk3T1OvxWWNRjWY0sx3hcWGrOY5B8SJ1NiGrPhoHz8ReX4q9rYYhoo4p18zlme3NCE2jduhszJ0tOB2ZIffNY43HFZOMxxpP2pldxLRVUz5sEV57AmkOE6PHDaG8rpMTMSMjPhttKcX9Pnf9PX8DpfPpf+bMGRYvXkxpaWmDEOKLn1Ve8UlTv+AEkNKGIc3/9gX5v6byk5z84C0ScwouCECJtLmKtgmKJolVVZXWijLe+86dDLn8NgoXXYPi86J43fhUnT94PB7+9Kc/sXXrVuw2G3eOySSteBjGvOEkDdEDJ5rTC/VgjhmF0FSDqDqJ1tWOaonpxa+MDWfA50FxpGOrOYEzcyhqtwF7wonN2JorqBmzHMVsRzVadON2j4uYupMYFC9mZwsG1UdDwSSsbbXEtVSQ7a5h5g3z+dOH9SAE1YNmYeuopz0hJyTRn9fqwBWTjNueSGrlPhwtZzk7ZB7u2BSSYoyMHjuY0rOJnIgZG3HO24PATjBFAwXBwCUaSAk/HinGCoQa1Qb38fcLL0ejgQKUNkmSRgshDnT/0T5JkuYIIcZIknQh0qlnAxVBvyuBc9PHdJMkSV8AvgCQl5fXT2udzpURn8/LIVKfvnYS4eWBfAcv+hC9aPcnf9pCrnvqPRLyB4eAiGiMwT9OJOARCaD4H9Bg1+DwBe9yuVi/fj2vvfYaNTU1AMTa7Uy0e1h82eVkzLqUS1MrMctnef5sGooSqkYSccnYLr23Rxwbfl7F49HSi9BMFjCYULvb0NmKKkkISwxxe94BIfDkjsB65gCK0YIrfRAAzuzh+GzxaD4vSmwi3sRsbA2nSd/yT1yJWagGM7KqG7pKihd7Ww2q0cKYiSPoNBkC8+aKz9LBiX4TAvfFHZNExZB5WJwttCYXohhMaAYTAKUNHtwJw6iL8yLUvp+XaPSvACUT82MpyYrhHzvqMZlMtLa2Bo/3qeUVcH784j+BCibP5r7X95KUP+ic+/a7MSMy34rEh8I3N56uDpyNtTib6lEUhaKWjVjUTrYZp+JTBS+88AJvvfUWJpOJr3396xQVFYXYpgghAmogrXAMWlIOimxEM9nQum1QcLajCYFqsuE4tB7Z60TKG0Ps2f2osoGOdD0CdUf6YBSTDaFp+ExWXEm5xNWfInf3Clzx6SgGMwbVR1dcBopkJLalAtVgYuzkEowxPSlAnLGpOGNTe82X1xZPxdD5WLqaaUvORwCqQVcBVbV6eTe+iOaEPFA+uoQUegOXSIDFf9/CA7gFg5Vgz59wIDo0xcDYLAuvHXXj8/W4JkejgQKUe9FFtfvQbVCGAs7uY+YBjvGJkBDiz8CfQTd6G0D7C/3/59wuUHa1IB9ZhZY7BZE6fMCgZCBl/ye5eESfTCFSfV8qm2AgEq29qqp0dnby5ptvsnr16sALLDU1lWXLljFz5kxkoSEZ9eyjrV4jZllD06LvqPzj+q/Rv7ikD17A0NGMtvyBnnNVfNg/+DuaNY7O2TfTNWYxQmgoscmolhhc3fEIANwpBVhrTpCyeyVKTCKdmcPw2RzY6sqQVBWD6kVIEo2DpmNtq0FIMq64NH602YmmOQPj+Off3lpFYvVh6gqn4LPqngKOpnIyzu6iPquEuNZKbF3NlI9cAkBli2dAz9UDczJwejWe3loftc250vn2nz80gfF5saw52sKECRPYvn07QL4kSV/iU8wr4Nz5xaeFhKcDsf9FpOwJSNnjPpb/SB8y6oKME22zNpBNWzgvSiwazlX/2IzabbTuku3dfAE2bNjAs88+iyRJPPDAAwwePDgASiLyuA9fQmqsQrvkCz08TNOI2/QCGIw0zriJ9hFzkXwePI40VKMZZ2pPGH93Yjb2hjKyDr6N155Ae+ogfNmjiG06gyQERtWLAOqLp2JytiEkGXdMMj/d4kTD2evabR31pFYdoC5vIh57AgCxLRVknd5GU8YIYttriOmsp3SULtGqbvX2GiMS3TU9DZNB4olN9f03DiI/Tw1W3UTy+okmafHPefDxKXlWJuZY2F7hoaL9Aql4hBDHJEmaDFyNbnh2Cvi+JEkxwAsDv+SoVAXkBv3O6a77WOh8GHFfffpbaP397gEorcgdVYiOGtTkoSHHBgJEIklNwuujeeH0p76JVO83IvODheB6P3iora0N5Mhxu3WbjYKCgoBHjt9IyqcKRHcck3eqYrvH8kZUF0Fv1VMAtWcUYexoRjq4Ad/IOfr1aQJv1lBdhOtxY2qpwZ1SgGKy4csZpc9P91jm5koszVX4bA7MXS1IXheW5kpUs5WGYXOwN53Ba43HUX0Ejz0R1WRFM5hQ1Mguw+auFqxdzRhcnXi6VXrumGQ6HRm44tJo9zrxmaz9PkNGWcJulml3q0jAqCx7SBTI86ULAdCf2FhDpsNMZasXh8PBwoULeeWVV9qBNP7NecWnljwd0FqBiMv42ADKhaD+wMlApCZ+nhKQzMoGvG43mqZx0jgcl8/F0SOH+dWvfgXADTfcwLhx4wJSE398lECUWEXB5/NBxiDk5loMBzfgGrNI/09Nw5M1VI9hpCoYW6rxJOWgGC20Z3ZvGrvP2dLRgL25Aq8lFpOzFaO3C3NnE0IyUDtoBjHdx+IaynBb4lDMdjTZSAThKAAWVxtWZwtGdwduWzwAblsCnY5MuuJSkVQfYgCuuQYJYq0G2lw6TxyVZcdkiK5K6c/ra6D2K8GAJXhMRVECx17Y28bGMiOlTWrAiPZCSFAQQqjAy92fYPrRQMfog3YCgyVJKkRnNjcAvdM1fgS60KAk2vGB7AqilUV8Hp7JD4C5J/R5cLtg0BH8218OByLB5YGCkmiSimhAJLze/33mzBlWrFjBxo0bA+Bh1KhRLF26lOHDh4cwoGBGFP4fwTk3gs89GKyEXFd+CYbTBxAitE/nsFkIITDWl2M/vQfJ3Unb0FnIzjZkxYsvRnfbNTVVgBDEjRzHWSkZt8GGreksINBkIx0pRZicrSRWHsAZ1y2WFVqvewX6wm5KH0ZbUj6KuSdRmtfmoKpYjxjptif2+/wAPDg3g7E5MXz9lXKMJ3bxP78/Rmvm+XtqXAhg4qc2l0qbyxX43c2cWoQQ3w1r+m/BK/4dSHJkwexvwHmETPg4Kdpz1R8/E0IgtVUgTA402RIRrPilIX6w4q+rq6vjBz/4AV6vl9mzZ7No0aJA2PpgUOIHOP6yyBuJ+eSuEJ6nKAodg6YghMDQXEXcmX0Yu1pwDpmNwdOFwecOrFlLcxWSpmEfMopKczpdkoXM4xsAgSYZaEvKx+h1klt1ALctAYQAIgM2gJbUQXTEZ6IE3VOfJZaq4hkAuLrVQP2t3btmpjOj2MG3VpSjHNvDz/94mPa8knO6Z9FAS19gJZJUJVz10+bU6HAPDJzApyRQmxBCkSTpQeBddNfBp4QQhyVJ+gGwSwjxuiRJk9A9ARKByyRJ+h8hxMiP8ZzO+diApCR9lAGwOKIu5vDvvsBK8GfX337LmS1rWPKzZzHFxPUCKNA7u3B/Bq/RbFAOHz7Mq6++GkihLcsSy2eNZeria8jLywv0lzUfQ2I6ONlhw6v2VuNEAkvpdo00m8beutB5CL4O1WilY8GdgesIngdN01BScmgbPgdPgp6vJ+ngexjcndRMuxFVMmBytiJJcO+lI/mgCl4/1E7t6GV6LBRNBUnGa4unbtAMvLYEvFHchUEPXTNviINTe85QqybhtYXG1DDIoGogSzrb6mutnmpwYzcbcLp95DeXE58QR2HuRLaUdUTvFIUuJDj5pOnTyCv+VfRxxGjZ8vRv2LfyWW7961vEpWVe8PH91AucdNRiO/w8xsRBtBcsDT2ueIlrPYpiysQrWUJ4hMvl4gc/+AHNzc0MHz6cO+64AyEEDoOH5Lgu9jca0LTeOXuEEAijma4Fnw8JlxB8bj5HOi3DZuOKSQEg5dgGzF0tVEy4GtVowexuQ0Jw9/JR7G4188LuZqqHzgOheykiyShmO1VFM/BZYvB2S0WC5yCY5g52UH6gghqnF0/YxkWWBKqm8xRJ6ptXlDW6SYsz0eFRyWoux24xMrxgGuuOtw04Rk4wyIhGmqZFBSl9jefvF2lTF06fCoACIIR4C3grrO57QeWd6OLccx33grT9OEBJf+AjuBzpmH+hBZeDX8b+cmtFGW0VZbi7OpAstpCXvx+UqKqK0deODzMKhl4SjcALPoLURFEUtm7dyqpVqzhx4gSgZ66cN2cWD18zCa8jjxq3FY/Hg0H4MEkqeTYX01M6kYWPbXWWqDFVgusXDRUUJEiUNfuo7wwCJd1tos1D8Lx9d1ESXnUSP1nbSEasTEvmcAyeLhRkEILGQTNJMng40mZkT0V7oP/QE+8iVI3jw3Tm2ZmoR96NaT6LtauZhsxRgWB6fhqaZmVxpkLliZ2kODIDOyGAe2akMbkglodXnOF7y3Nod6t8740KIpEQgjcONPPGgWb99/TlfH5RLm+fimyvEm2Mzwp9XLziIkFLRRlN5SfxdHUQR3SAIlwtYLQiBbm892oT4QUUDkwCGwxLAt7UEjyOgh6piccJng6szjpSm3chbIOotI3A6/UGQtr/+te/5tSpU6SmpvLggw8G4i5NSGumINZLRauV6k4pIE0R3RIYfzmShBh0PvLtBcnYTKl8561ash1GWtKHYHK2oshGEIL6gsnEF4ziuNPKjvL2wBijzn6I5uriyJBLQJLp6s6hE9NWg629jsasUQg51BU8P8nClcUG/u+l7aTFpHB28JzAsVsmpzJ/aDyPrjrD1xZkYZDhoRVnos77mqNtrDnaBoB38lK+tCiLTZU9fDAaRfLU6eu4f578FG5U6+8TLk3xuxoPhD41AOVfSf0x70jH+6sbCCDxl89FOtIfKPHXB5enffUnTLrvuxit9l7Bh/xjGHydDGtZS7sxleP2iSFJ9iLphFVVxe12s379elatWkV1dTUAsbGxLFy4kPnz5xMXF0e5qqJ2qgih64KXZTeSalF4rtSBpFk41GwIiGsjSlDqzyAd2IA6ZiFvn0olKw5UVePucUbeL/NyorG3N1Lwwx8OUFqcKl5VcMXIWJYMj+M3lhIO13p65tRopgEzf9nSGHJPstMT0FSVsq5mJMWHOy4VSVVIrjyA2dNJS3IRiiVU3H6i3s36xDi8g8fTKIdGfm1zKbQ4FXyqRlOXQoe794KN9lwe7zDytTfqcPk0JuXHcqLORds59L9IFykaLf2v37Hw6z/BEhvdrVl4uxCbfg/x2UiT7+6p74MnRgImIR/ZiDN/ga6G6eZRSVXvY3VWU56xlNrYUdQb0gPqGUVReP3111m3bh1ms5mvfvWrGNobqHvvn9imXcpWsihr1dfZ9YNVtlUJDtWFqqGDeRr0juXU7FSxmTSWDovl6jEJPBZrYMeZrp7rMZhoFg7+sqUh5EWdl5mAq8NIubcD4fXgjE1F0lSSqw9idbXRllwQkKb45+dMk5vV5RZ8QyZSL0Lnvt2t0OpS8KmC5i6FAZihBKjcaeSh1Q24FcGEvBhON3podiqR72s/gCT4eF9gpb8Q9n5pSrCKPhr9xwOUjyo1OVcJykeRmkTbfUDfcUyQJAwWW4g9RzAYEEKgCAMtxnTajckhbsLhAEVRFLq6unjrrbd44403aGlpASAlJYUlS5YwZ84cjEZjoF84qCltN9NmlWl1w7YuU+Acg5lEsNRENNVgaKpCaWvgTGwS5S2CockSxUkGTjbJnCitxVJXhjNvNBiMfYI/IQT/u0EHHiPSzeQkmKhp72aGp7Zg6WikpmRpILiREEI3TBNwPHcGkgQZG17F6HVRNv4aHPUndXCSUoxmNCNpasjOSNUE7xxth9gey3//uC/ubuLdd3eimWz88C2NrHgzj91QxOsHmnnnSGu/4MLl0yjJsvP1hdl8cKKNxzfW9tn+Il2kgZAsy32CEwCMVkgfodvBdFNffLAv6ouvOe05KELGa7DTYR+Cu9swVlVVjhw5whNPPAHAnXfeSXZ2Nq17P8RXXYapvpK65GzOthjIsqkUOARVbYKDJ5swVBzBmz8GIRv7/G8hBH/cqPOKwSlmDtW4ONOsSyyTyncT01ZFxfBFgbxeAJKqv/j3pUzAmimT+uHrmN3tlJZcRmxrlQ5OEvPwme16vp4gXiGA9462gT2/1xy9fqCFDRv2IWQjv1ijkBJr5I/XF7H2WCur9jf3O8duRVCcauUbC7PZUd7Bb9fVDPjeQGQw4gcZkShc9RMJ+PTVP5j+IwHKuYKS/hZfX0DEX47WJhooiSQpiVQOByXhUgS/Csb/H30FVDtiHKWXvd6IUpPGxkZee+013nvvPVzdRpG5ubksX76cCRMmBDxyPB4P7ZteB6MJ6/gFPWP5vGwuK0dKzw9IVPznGK7iCTCL/NF4k3NR7fGI7p3VoVrBj9Z7aexUsZ/ei7X6OB57It6UvJD5CQdxwffgUI2bg9WuQL2s+JBVH5qm6tF7fW7Mrg6yjq9DM5goH3slmqYRlzkKo+JGRaIjIQej10lrSjGFB9/Uo8xaYqkYNKcnw2iUZ0ZWfWRU7sVrjqEsPhODDDazjNnYd+CiYDpR7+LNg81sO90R8T8u0kX6OEiSDUijr416PNrmKxII0DSNbU/9L15nF1Pu+VaPhMTn5XRZM/GDJoIiAmodTdNoaGjgxz/+MYqisHjxYiZPnozX68U8dCKx8WmI2KSA106pS+U3OzQaO31Ip/ZgKt+HxxKHN60o5ByC+U74OR+vd3PsfVfgmKz6kBUfQtXQZA1Z9WF2tZN96kMATo25EoDYjBGYPR2oRgsdjgzMKcW0pBRRdOQdJE3FZ47h7KDZaMbe3vcha1loZJ7djWo00x6fhYweSdZyDrziTJOb1w80sa+i6//be+8wOa7rTvutzmFyzoMZ5EgSBAgGgDkgkKJFWStKK0u2ZWutT7K12rW92l0l27Ktldf2Oq7sVbBMZYogCTCKBDMIEgRJZAKYPJicu6dzd/X9/ujpRnVNVXfPYBIG9T7PPFNTdbvqdnXXmd8959xzs3pKMvZF0T6TRyWXZFplGz2uKoGS7cOca3GSq9ck04OstT+T10TtGVGGTrREiTIHRSvvRJZluru7efzxx3nllVdSYmfDhg3s3buXjRs3pnlXhEjEeP3HX0Wy2rFsuS11vdDxV4i99yLmm38NqfmaaQJF+V6S7zUmy+AsAMX7AhiaTGz7VmwlnF9BqKgmNVVYT+hl+iwGV+8EIRI59kJQ0XGUvInE7FUpFkldd7L00ggnZnczXH8deeOJ6YSO4ASWwDgO/yjBgkrM0SB1bYeZKF3BxFQF2CRxs5WeppuIWRJTjLvHwvzmD1uYCeGY4MdHhxFC8JlbKinLs/Lt53swZIrBQpLrgE/v2Tv52PeJ+H1s/8wfpezPuad+wjvf+SabP/VfaNr9sZR9ikajfPvb32ZkZITVq1fz8Y9/nOjUOjyyLEN+KbJilk8sFmM0BjE5jtx8HTF3EeHyFWmDFvUAJpMNBhho3AYN16dyzsovvk/hWCInRHknfMV1qdfKVidDddeSN9FH2OrGFRzDEfLgmhzCV1yHKRamvv0w3sJaxirWpN9EycTFpptSa3oNTkb57UdmZiuisuCn7yQ8Qv/xhnKaSu186/leYnEx7fPLVbCoa57ovT7X0I8WV4VAmanHRGu/1oOWbTubMAHtiq/J/eptpdBQCpFkm+Qxt68Dc2SS0fz107wTerVL1KEYWZY5d+4cjz32GEePHk2p3u3bt3P//fezYsWKaXUKlPkj+R/5IkimNBFE9Sqkxn5EWT3xDDVN1N4gvfsAINvdxKoTlR3RGKGpP0P1Z6Hebw16KRw8j9M7gK+wBlM0iGy2UXbxfYJ55QQKq9Ncs/kjnVR3v0PIUUjQVYIrMEaed4BgQSWmaBh70IM9pD3TZrLg8mdJJPvdXOagNM+KaWpmkJq9m4rxh+O82uK57GsaLB/E0AcwOQDNtyFprJ474/PpDPIyDbY+8s8HiEbDaQOoyi07qLvpHko3bk/ZkFgsxi9/+Uveffdd8vLy+P3f//20lc2VokRtU2RZJm5zEa7bgJATM/LUNlSrf+r+p5AkrKFJCofbyR+/iC+/CkmOIExmKi6+T8Bdhk9lK9yePmo7jxC1ufDnlZPnGyZvcpDJolpMsWjCVugsaeCfWoNnLlhRaqex1IHVLBGLT/+87lpbAEgcOp/ZViT/J+S6Xx36UbbXY9kLlFy8Inr7ZyJKchEjuXhMtH5yESXKPI6SiVPY5UmGrPVEsWSsY6IWKLIs884777B//37OnTsHJGbk7Ny5k927d1NWVoYQgnA4nJbTMi105ExMl45PhYsA5PxS4js+lGgTViSm6ogSvfugde+0wji5fDbWoAeTHCXkLqVguI2KrmME3GUIk4XBhusp7zlBwXg3TA4ihlvxlDUzWL81dY2i0XYAAu4SSkY7iEsmxsuaEUIQcRbSsun+VCn7TN+9maB1jm881Y3ZJGmKE7MEn7ihAm8wZggUgzRE+2vg7UWq3QqOwrk5p47t07Jj8Xgcd2VtmsiIRqO4qhq4/g/+nFAoRDgcJhKJcOrUKb7//e8D8Du/8zvk5eWljiVDQ8nteDyeNnMneX6ljQLtGYDKviuPWUM+LLEgwbzyVIVXv7uMuMnCYMNWSgfPUTTSDr5hikbamCyqo2/FpVUYikfakQCfu5KS8Q4EEqPliaUEonY3LRv2EjfP/7/k//V8L1azRDCqHWL5+PZyJCRePDcx7ViuM32S+zN5U/SEjJJlL1ByIZuIuRxxomw7E4GSyWuifsiVIw8hBJ0FN2CWQ0SEmWTBMqV3RCsBNhQK8corr/DEE09w8WJiuqvb7eauu+7i7rvvpqCgIJXPknytckZQphCTnndEKbTURdeU22ovU3LbLAnuXO3ivYtBBibltHsNYPcOYfWPM1m1JvXagoHzFA6cp2/t7cQc+VS3vI4l4qf92ocIu4oJ5JUhxeNYYmHMsQjDdVuYLKrFHAtT4rnIQ3es48K4n3cuDKf2B9ylxC02QvYCxstXEbW5E/ksZmuqcIHyu2A1S/zpAw2UuCwc7/Hzf1/LLcE1k7iJyoKoTolKWcCfPtVNODbdIP3erVXUF9v5+sFuzdGUwfJG2vwRCHmQZilOchHcWgM/LXunZSeS9snr9fJXf/VXyLLMnj17uOaaa1IeE6X40BowCSGQENzebOfcUISeieg0G2zzjWLzDuGpWJ16XvOG2yjpPU3/6lsJOQqo7jiCPThB++YHiDgKE7ZCgEWOYIkGGa7agD+vAuQYpRNd7L11PX2xMIdP9uItacQSDRJwFiNbbQTtBXhKG4k4ClS2It3DIEnwjfsbqMq3cm4wyN8e6pvV56QkFhcZn/U/f7ZHc/+nb6xgQ7WLbzzVTUhn/R+16NATIUlvSrbvz1UjUPRuhJ74yHQskyDJZVsv/jlTUaLlQRFCEMGFjB0x9QAr2ym9JrFYDJ/Px/PPP8+BAwcYG0tkhJeUlKRm5Njt9tSoJnmNpJhQh4uSfdQTLmnJrypRoiXOIH1UI/k95He+i69+M1FXMRurbDy0pYByt5kfvjM+7V4Xdb2HwzdCoLCKqD1RZt4UDWGOBpHkRB/HqjdgiQQgFiEmmfCUrSR/rIux8tVE7HlIIk7M7sZXVIujeS3bbmzg8J/8X6q9XgJ55ZhiEWyxCC7/KO3r7iHiKKC87xQlwy2MlzRRPNpO18pbCeaVpb4/ZhMUOS04rCaKXIlHcGWZg+7xsK7IyOUfQSYuDAU19xc5LRS7LJhyq99ksMyQ3GXgLsveUINM9lK9T0+QqH+UYkMpQP7u7/6OgYEBmpqa+OhHP5oqYR9T5ZukXu/3Yj39KnL9JuTCCpqKTDy0yc27PWb+31vhad6Sou7jOD39BPPKUkXSzLEIllgIYlEAxivXYgslFhI0iTjj5WsoHG1nrKyZkCMRFonanIRcJVjqV3LjrY383299n+qREfx5ZYnziTiuofN0rLqdkLuE0sFzlA+cZax0JSWjbVxsujktnGMCil0JW1E8ZSuaSu30eSKE52iRQDXtIyHN/UVOM8Uuc6KwZAbvh9p7ksmbki0vZdkLlJl4RzId0xIb6r/1ttUPw1yJEj1vSKbRRFKgjI2NcfDgQZ577jkCgcTCVbW1tezdu5cbbrghNRUsFAppFk5TXk8tUJQJr+rkVzkcwnnsKWKltUSar0+7P+p7o/wBcI734hpqJ+IoJFRXwKn+ID8+Ns6JvqBmiGek8XqsgQkiNncqP2WsdjNj1RuII0E8jqekEYD6c4dwBMcJuktx+kawOgL4JwcpGO+hcKyTrjV3MEgpn/1JG9aK67CUhCgc7SDkLGSkagP2sI/IVGXPiNWVmClgdxOx52MPeansO0l//fWEnYWEooLP/6wNt3eAqNnONatr+fLuep45PcYjbw/rfm/ng28934NJAsN5YnA55DowU9owpRBRlq5Pio9QwM/xf/ifnPZJvPLKEex2O5/73OcQIhFiVoZxlK+XZRlpqAtr7zliVgfhvFIuDMn8+D0P54ciabYq+TNSfy2O4npCjkKY6vNYxRrGylaRLDziLU4sAVXX+hquySH8+ZXkTQ4SdhQQ8A7i8o1QMtLKxeZbGBOVfPZHrViLNmFz+cj39BOxuRmq3oQj7E2Vy4/aXETs+UTseYk1fSIBmi4cor/uOkKuEmQB//kX7bgmh5AlM6ubavnTBxp5+fwE/zKD0gK5VpDNxN+93I9ZIrWWkNpG6YV/Ms36Ueb/aLHsBYqSbEY/kzjREzqZHsxsAkf9kOh5EvQEilYbLSGh3N/T08Pjjz/Oyy+/nFgwC1i3bh379u1j06ZNaUln2Tw2yW0pHsNpjuOLTDdE04RGLIx5vB9hMmu+X617lPztK28manUSKqgEICYLXmrxabYFiLhLCLuKcdtM3L+pkFcuTDIwGQWTGVQPxmRJI3GPFadvGE9xA0Xj3dSYA/z6g1t5/kWJiD2xREBMhtiUN6RopAOnf5Q87wAj1RtT154oa8bcuIaJQAx/fiVVPcdxBiewRgKEk+WuY1Fq298kYnPTVbqX031+TJPjVA2cZrBsDUKRtzLfGOLEYKbMRECntY3HIOxHmBwZbV08HicWDtJz/jQ/vpDw/n3iE5+gsrKSSCSi6YVRDpBE1Spi2x4gnF+eOC4Er7cHdW1z1FVExFmIwwIf2lzMG61eeiYiaFVF8xbXIwS4fMN4iuopnLhIOT7+40Nbefa5WGqhP1mA7C4h5C6htvMtnIExCjw9DNVsTs0A8hY3YKltZjIYw19QRVXP+ziCHmxhPyFXorhjPB6nru0wssVGX/H9nOjxEfd5qBk8zUDpGs1pyrl8XrMRLXoLHSavoZc0q76eXls1V4VAmamXRLmt9VvZTmvEr/5b7x+xMr9C8yHT2dbyoGhNE1aOVM6dO8f+/ft5++23U1+Obdu2sXfvXlauXJk2TTi5nexXJq9JfKyfqtZD7P21O/hJbzmT0cyCSlideG77DeImC3E5vYKj1n1UhoFAIlRUk9jWETFan+O1tU72bixCjicKpCWpGDxLqTVGp7WayeJaonY3Tv8ovuI6Rms2UV9dTPOGWooDRcgaGe3D1Ruob32dsqHzTJSsIDpVSXZtpZOv7avn6VPjvPjESdz+EYYq1hGzOlKvdU8OIQFBdymTkwEC/X3EulopHrzApLME3xzM8DEwWAgyDd6UNm+k4zyv//lnue2urbh2/xFxS/600EwynCzLMrLJygvmFQRjp7nuuuvYtWtX2iKA6hCPOhE2VlSj6WFW9lltszdUOrl/UxEOi8S/vTWcej+lQ+epkAJ0Ourw51UQsblxtr+Jv6CK4drNVJYVUL+qgapb84mdGp92P0Yq1uGaHKJ0pA1PSSNhZxGQKHH/Fw828tJ5D0/uf5k83xDD5auJWJ2pfiVshcDvLiUQCOPt6UHu76VosAWfrTDl2bncz20uvCxaYkR5bKYiZVkLFK2R+Ey2cxEpegJF7T1QChHlPi2BohcyUR/LNk04Ho9z7Ngx9u/fz9mzZwGwWCzccsst7Nmzh4qKCmRZTs3IyVWUKPvFQCf9Le0cP7MKn6OIqKwhStT3wWxLHI9Pz0EBtShJ/2xyFSVJ4vE4h9u9yHHB8R5/2vejYvIi8WCA+uh5wvY8utfeRdumfRSOtBN0FtM+EuJ3f9yWam+JBGk++yxIEhc2P4hrchCzkIla7ClxAjDqj3K+38+JX/wCZwx6G7ZRNnie8qHzXNh0P/agh8reE4TteXiK6qnoPclzZy7yod/8MG+830nJcJshUAyuKPT+4St/+k4do+34SepXNbFOsqWJimSOm1J8PP7445w4dZr8/Hx+67d+K7U/WYQtabOSBdyUeSta9lHPNiv3v3vRzz+9OsCZ/mCaHakJ9BL1jFMvtxKxuuhaeyetG/dRNNqOiMfpmYjw2R+3ptqbY2FWnX0WhKBl4z6cgVEs8RiyyZISJwATgRgfDAQ4+vNHyQtE6K3bSvFoB2XDLbSs340lGqK6533CNjee4gYqBs7w8pkOHvjkAwRcpZSMtOMtqp2WXHs5n6Ga2QgX5bky1UtRD/jVLGuBkiTTDVC3yeW3+qZqfdm1/jkn9+vlWWiJGi2Bk6l+iBCJqouvvvoqjz/+OF1diQJCLpeLu+++OzUjR0v4KB9UvbCOum/yimuQiqo4bC1HyNOTXDUFisY917qnM/1s1NupPJg4HNZY9Xfymru5pcHO0Z8+ij3so2CkA0wmKvpOIcVlRqvWA1Ay+AHmWJSJ0iYkkt4bmbGKtax1Rwnml/PgSgvjkovXWryM+GL89S/eo8E7Tp7ZzHh5PaPxOLaIj7jJgkUOY42F6K3aij+/AgCb3cq/nhEUCoEt4k/EwedgRGNgsBho2dwNez9GceNqSlZuQI7HE/VIhHZ4p6enhx/84AdAYkpxQUEBwWBwWn6dni2dic1I7zcc6fBN2z+67lbuaHLw1s8fwxYNUDTcStSeR2XfKSzRUCJsAxQPt2AL+xmtWIMkpkrgx2UmSppY7woSdRext1Ei4ijkxXMTTARj/O9HT9A0NoLLZMJTWceYZMIZnCBmcWAPTWKNBhms2YKvoBrZbMNhhu+dk3BLYIsEkIRAzKOpECK3cMx8sOwFSqZ/Ytn+0eUyKlArcK1/xjMN5Wjlk+SyeJ/P5+OFF17gwIEDjIwkqgYWFRVx3333cccdd2C321MjECGm10HJtq0buskvQ54KDynvg3Jbz5Ak9ymPa30Gen+rX5O8Zi7fiU6fic6zUaoKq3H5RhKxZcmEJMdSybMAZf0fYEIwWVDN+Y17Mcdi1He8RbykmtI8wWD3B1w4cYQb7ruNN+R84mYb/rxyKjdtYvD0aRqGTnK69JrUtb0FNXyw8YFUOXx/fkVCqIRhbPXtIDDEicGSRP2saf2tfq6V9qJ87RbNwmpJj0g0GiUUCvHXf/3XhMNhbrrpJq677jpCoVBaG+VrY4rZilqe5CRqL7ayj5nepxCCnoCJR85EqCysJc/Tj6e4gZjFgbl6E96iSwtnl/efxSxk/PmVnN/4ACY5SnXP+8QKSqkshYHeVjqOH+XG+3ZhiuYjW+wEXcWUbb6GkVMnqO8/zomy61NhG39+BecUtiLoLqXTXQoRGGnemRAnqpWR5wP15zwTwaJ8rZ43RQ9DoKh+57KdzQMCuZWh1wvraIVxtEI5SYExPj7OU089xbPPPovfnwhj1NTUsGfPHm688caUKy0yVTRNWaRI75rK96Rsr96vdV+0RIlyv9Z9VH428ylKtPb3N96Qtm+sci0ADv8YhaOdRG0ubJEAIDALQVPbq5hjYXySidaeYex5bsgv4ehzr1LvLsUW9tG56nbecTTRWDlBl6l0uiHXK8gkmWDqGbZEAhSPdTBWtoq19cWsLHfw1Mkxo5S9wZJAyz5q7VfaOmVYRykwlLNwDh48yIkTJygoKEiVso9Go6lQjrLsQfK1yvPPNKyj9Z7U20kG67cyUHdpf7IsvT04QdFoBxGbC0c44YExEaep7dVE/ZN4jPMDE9hcTigs4a3nX6fOVYI97KNr5S6OOhtYVTVOl3n6lO9MtiLpOTFHQ5SMtjFe2kxTbTEba9wcODE6bwnweqIj19fl+pplL1BgZiJFa1stUNT7tX70ck3U/8g1PRJZhExyu6+vj8cff5yXXnqJSCQCwJo1a9i3bx9btmxJLcikV69ES0Qp+5jpt95ISf0e1cZLq736nufyuSi5HHECCSEStbuRLXaquo/h9I3QteZOSofOk+9JFEaKIxE320AIJBFnomQFg7XXcEeDmdEXn8JZWEKvtQlLNIQ9LgMCv7BypnJ76noryx2M+KJ4grJWd6ZRNN5F+dAFYhYnH31wNeurXRzr8tHviWi2t0YCmOTopZlCBgaLRC72UW3TZFlmYGAgFdr59Kc/jdvtzhpyVl5PvZ38W/n7crD7x4hZHcSsTip6T5Dv6adj1e2UDLdSNN4NJGxFzJyYWSOJON7COvrqr+OWOjvB157CabPTU9qMJRrCGfKAEISEhdMV16eus6LUjicoMx6I5dSvwokeyocuEDdZ+PC+1WxtyONkj1+3poklGsQSDRNyFV3eDWF2IaBcX7PsBUqmnAetfXpttASGlhDR+uevVRdELRi01H9yWx2KuXDhAvv37+fIkSOpPl533XXs3buX1atXE4/HUyWelQJFfd5soRy1J0TpTdG6D1qiREu0KdH7HNTH1dszESWSBP/tnhpGfDH+3+HBtHZFw61U9Z4g4C6le/Xt5Hv6MMmJdTEGqzbgd5eS7+nD7R/FHAsTdhbSuu4+Vre9TMXkOQ73rmVdURn9Uj6W8CQF3n4CjkIa2l6ja+VtiaXVRZyqQjt//uAKTvT4+MvntCs1Jsn39FIxcJaBuuvoszjxFNfx3cMD1BXbdcUJQH3Hm9gjPs5v2JdWXl+LQqeZL99Xz+utHp45PZ6xrYEBZB8sZBqoqb0nSs9J0jsSi8X4m7/5G4LBINu3b2fr1q2EQqGUPcsU4lF7ULRsl5Y913o/X7qzmogc5x9fGUg7nj9+kdrudwg7CulYexcFE71YYyHcwVGGK9cRchaS5x0kzzeEJRYiaC6hZd29rG17mWu8Z3m7fxMbC8sYlR2YohEKvX34HUU0dBymq3kXEUc+iDiFLit/8eAKWodDfO1gV8bPxD05SFXfSQZqr6Wv9lq8RXX8+1uDHG7z6ooTgLqut3EGxmlZvydtdqEWLpuJ/7G7nvcu+tj//qhmm3R7m5tYyUUwLnuBApnDBnr/TLMJlGyiRCt8A9oCRflw6e2XZZn333+f/fv3c+rUKQDMZjM333wze/bsobq6Oq1QUS5CJKf8EpHdVaoWJpnund5noPVbvZ1NlKjbJzEBgyeOI1vtQEHaMUnEEYDfnQjDdKy8jVXeFj7RHOPwi68zULOFkcr1RMe7EUhU9hzH7y7DFPJjGuykqfM87Y07mCyqxT3RiykaJi8wigBMcoQiIVF15gU8pU288EEJZ/sDadd3+YbJ9w4wVLUhFUu2RQLYwj7+613V9JlL+O7hQXonIvROTBcn5lgYhEC2OhgvbcYW8adWPc2E02qitshGTWH2GgoGBnroDey0bIQ6T0QpUGKxGL/61a947733cLvdfOpTn9Is4JZ8vTLvRP2jHERp2flsYZ2Jc6cRmICitOOmuIxEYt0tgM7Vt9E89gEfW2Pm8IsvMlSxnuHKdcQsdmJmK1W9x/HmV2MK+hADYVZ1t9NRdx2e8kbck4NYo0HyfMMIwBwLkS/ZqT3zK7yFNTz/QSmdI+G0fjr9oxRM9DJctT41ALFGAtjDPj5/SynBkmv4h5f7GPBGGfBGp31W5lg4URnb6mS8pImQs5hYDjVU7BYTdcV2Bienn1OL2YgVPZa1QMnk6puJQFH/U1aq8WxiRWtbKUSUya/KdsmHLxqN8vrrr7N//346OjoAcDqd3Hnnndx7770UFham2mdKslX2y2GSqXbJnB8TxOPTc02U71WdZ5KrOFHfH63PQOu3+vObyWett1+WYxx+/nViVhds2J123FPaRMxkw1uSSEqLW+2IgW5ORyaQbA5ks5VAfgWB/Aoqe09QMtpOwF0GK9YhmQRyVwfWcKJYnK+wBn9+BTXd7xJ0FRN2FvHV+8p5ujePUbOV7015bywmiesb8zh+0UfJSDsF3j48RbWpwkyj5auJVTdTXF/PhQ5vxvfd3PIyUlxmvHQF1miQvrrrc0qwHfBG+U8/biWks2CYgQGAiAZgrBMq1pFKjkoeUz1zWs+0lr1QD8Di8TgTExP8y7/8CwAPP/wwhYWF02btqG1b8hpKu5upP7m9YcEbz7yKMFlg8wNpr/UW1yGAyakEVtniwDR0kfePjGCyJ2xF0F1K0F1K+cBZSkY7CDmLiK/YgNUsE+zswDaVn+LPryTgLktNIQ7mlfO1uys41JuH12znh0eGADBJsK0xn1O9forHOika78ZXUJWa/TdR2kS0rJ6KVSs53Zc++FHT2PY61miQ0fJV2EOT9DZsy2l68nggxud+0kpIYy2v+WZZCxSYXqdEbzvbz0yEiDpGqvZUJEWJVpJq8vWBQCA1I2doKPFlLSws5N577+X222/H5XKlaphoCRS97Xg8zr3NMa6tgB+eErSMpk9ZTvZLT5xpZcXPhSjR2jeTME6m/cJkoXvVbcim6asKlwyep2zoPLevLeCWXdfx1QNddK3cRbvFTqQ+fenzkYo1hOx5VPSfIibiBGNhIs4iKgfO4C2qJWpzI0wWeqdWMC0a7eAX//Q8Wx64nyMfXBp93LG2kM/cUsUv3xvmieAWJkoaU+IkiSdm5kuPtuu+d5tZQgDewhqkeJx8Tz/WaBCpNo6Qpmf12y0ScUHaWj96q5kaGCQRbS9D99uw5WNIlRsS+zSEQCbbqPZ6qD0nkUiE7373u0xMTLB27Vpuuumm1CrFyrCOMjFWy3uiHoypB1DZPCcASBLdq29DMH0hu5KRNir6z1Df4GT3nhunbMWtidomjnTP7GjpSiIWB2WDF5CFTCAWIuwuo3z4At6iOsLOQoTJTF/DNgAKxi/y+D89x7UP7OHNC4JkJvzNKwv4wu01PH1qjJ8EN+EtqMGfV552Lb+w8IePdeh+hlazhARMFtYkvDbeQRwhLyY5plmFNtk+Mge24nK9KcteoMzGU6LczlWUAGm5HplEgtY04eSD5/F4ePrpp3n66aeZnEzU7qiqqmLPnj3cfPPNmM3mtFDObIqrvdMnCESga0I7xKPnJVHHcZX3Tul90br3mX6rt2cbysk0Ugq6SzXbeIrrMclR6latoMBhxmyS0hb2s4Z9CMlEzOaiof1NzLEQprhM1OrEEgvjd5Xhz68kanWlXuOwmqgrsuHr9RANBHj87YugWADszLEz/KL9XR746L28fN7DqNWZ9f0qkYC//Wgz/ojMH++fcj/HIpiErDnlUJIS7T1Bmf/+RGdqv8UksbLcwflB7YUEDQykmq0IAZSsSNuf7VnWEinqkHVSqJw+fZrnnnsOs9nMb/7mb6YJmmR+iTJsrcw50Rs4qu19TuJkipCrRNOWeAvrsESC7FjdTJ49YSt8ioGFdap+UdSeR0PX29hCXpAgZnFgjYUIOQoSnlX7pYGPzSyxotTBeL+XWCjIE291IxSVYS+cvMBPO47xaw/v5tC5fPos9lw+tjS+9eEV2Mwmfv/nU7ZCjuqKE4C/eqgJSYIv/uLSAMkkwZoKJ+cHg7OeRSjEzJNprzqBkunLq/XPWP3l18vP0PKe6AkG9ayaZPb6E088wQsvvJCakbNq1Sruv/9+rrnmmlT/tKYZg743Rv1e4vE4XRNxuibS82TU4R3lazN5obQMlNZ919qv3pe8Xi6fp95+kxylrv0wvoLq1HThJJbQJHVdbzNSvpbJ4kTtgoijgMG6a/nntzxIb3tIO70QNF84hGy20bphDyFnAeaYg4srbsLtG6Zp+DSuhka65PTR06dvrOCOtUX8Sct7SKMkirspsA60c65thDU7rp/VyEQAnWNh/GGFN8tiQ+9MQkDnaBhvKH1GwK9dW8qvby3j71/q5U2NQnYGBlJBNeTvTf2dbQCSbVCnzkOJRCL8/d//PUII7r//fqqrqwkGg9METbbQjnrwpOyP7nuLy9S2vUHQXZpaSyv5OkskQF3nW4yXNuMpXQFA1O5msO5a/u24nx+eaCWumsPb1PoqUjzO+U33E3IWEDeZ6F5xE87gBM2Dx3HXNdAuitNe8/C2cvZuLuHPO08hD08F0YRIhWltQ520tPbzwY6t+CO5zf5T0zkaxmq+JAziZmvGJPqO0RBqGbF7YzGfurGS//fGAIfOTcyqH3DpszGmGTP9S5zJU5Lc1vrHrOUx0RIlmZJR1V6T5LGWlhYef/xx3nzzzdT1tmzZwr59+1i9ejVCiJRrUylK1NdQPsh6/VTfD/WMHC2vida9U9+3ZDvldjYhkqsoyWRgtI6Z5CiOwDixKa+Eso0lGsIe9GAPe9H6d2wOBygdbknkgNhcIEmMlTYTN1kRQtBXvy3VtqC2lq986VbODQT4xlPdaed5u2MSm8VET9k6EAWUDLdR1XeK1rV3g2Sip2E71miQb702ofvesvFXv8o8E0jNtzXaH7/oo77YRsuQfra/wdVNJk+Dcp9aiCgHY8nfynBNJBIhEonw6KOP0tHRQXl5OQ888EAqtBOPx1Nt4vFLs3jUNjR57mQf9OyY1nuQpmyFmMrDSLMVsTCOoAd7aHoOmBACUyRE5fAFxkubiEx5RMZKm1LVYwdqr021t5VV8NUvfp6u0RD/7fHOtHMd6/ZR7LZwsXgVcoODwvEeKgfO0LrmboTZQn/ddYxG1vDtN6dXt82Vf3i5b0bt/+6l6e1P9wV4u2OSD/oz57nkSq5CZVkLFMgtxySTKFFuq70huYgSYJpAicVinDhxgv3793P8+HEgMSMnuUZOfX39tDUllHkrmQSK2khoxWS1kmH1RJtarCi31fc4099a25frLdEiZnPRumEPstlKqctMudtMT0sn/vxygnlltGzYi6zjJi3w9FIy0kbU6mSsYg1CCIaqN01rVzZ4Hi76eOStPDpGw9OOH+/xc7zHjyPopeniO0StzrQRi2x1IGeZ2rcQtA6H+NtDMzNeBgaQ3Zuq9aOcZhyPxxkZGeGRRx4B4JOf/CQWiyVVTDJTKEctRLSuqddn5bZssdO2YQ/CZKbIaaa6wEr3hUQSfMhVTMvGvchmm+Y58icHKB1pI26yMFyVyM0ZqVw/7Zolw604g+P84HAe/d7pNU3O9gc425+Ytbey+xhRq4O4ZE7lI8sWO8FZhHXmmu6xMH97qHfOz5vJlsMyFyhailpLnGj9rRXKUYZTtESCut6IWmDIssybb77JY489RltbYhE6u93OHXfcwX333UdxcXFqtKDngdEKF4H+tGble1E/1Ll4TbTaK+9vpt96++ZDmCjbJAXI52+rJtTZwsEXjjBStZ7hyvUZhcF4aRMxiwNvQdW0a0lyDLd/BCkuUzTWiTUa4OUjFwjkl+ucDaJWJwF3GRPFDWml8w0MrmS0BiNqG6EO0WhNMf7ud79LIBDg2muvZcuWLWmrEiu9I5kGXVoe8mS/9OxMmi2y2BBC8JlbKnGOXuSXzx9hrHw1gzWbpw1klK+bKGogLpnxKXLLkpjkKM7AOJZYiKKxLuxhL28eOcOkoiS+mpglsTzGZGE146XNWT6Bq4dlLVCAaR4E9ZdaK06q9U9dz2uiFCXq8EtSPAQCAV588UUOHDjA4GBiqmlBQQH33HMPt99+e6paYjgcnhZ3VV9P6ZlRChH1tlZIRy1ElDNytARK8lx6giObEFlIUaLFc2fHaXIXs3H7Zmq2bOHvj11KBi12WTCbYMR3aQ0hIZnxaBiR8oEzlA23IEtmzHGZwcoNVA6eQdLN+kggW+x0rdyVtf8GBksRredK6/lX2xatgVkyxJP8OXXqFC+88AIWi4WPf/zjKc+JOqyj9Kaoc1G0PMFqG6fVb639h85NsL6kkA3bt9B4zSb+5p1LYc8Chwm7xcSQsg6IyZRaL0dJ6dAFKgbOpBJj+6o3U91/CvUUbTVxs43u5lsytrkaWfYCRS1EkvvUYQs9gaK1rXwA9Y4lZ+Q8++yzPPXUU3g8HgAqKirYs2cPO3fuxGq1ai50Bel1UZQPo3r0oBQbaiOhfP9a9yF5PHk9vfujvpfq+6veVreZL3GS7fjRTh/vSvCVvXfSMxEBLgmUP3ugAafNxDefuYjbbuJUr35sNWp1EbG5GSlfQ9xsZbKwhvHylTkv0mWKRcifHMBbWLsgC3vpIUlwc3MBZ/r8TORYbt/AALI/o1qCRT3AU3pF/vmf/xmAffv2UVFRQSgUmiZAtGxv8vxa3l71Ma0+6vH+RT/vX4T/sft2vCEZ6E+95it7G6jIt/InT3VT4DBzvMeve56o1ZmwFRVrECYL3qI6PKVNudsKOUq+pw9vUW2iFssiclNzPi1DQUZ8uZXbnw+WtUBRej6yeU0ATYGg/Iev9bBpeTeGhoZSM3JCoYQSb2pqYt++fVx//fWpayfrAGiJnUy5JnphKGX75PvXer/KY1pGJfm38j4q22jtV78mmyhRt89lv7qNSYIChznjP1tZwJ88fXHa/ldbPNgtJr54Zw3leVZ+698vEI5pX3eitImJ0qapC8cpGzyHP6+MoHv6wl5alA1foGy4BYSYcajHZTPx7YeaONnr519fH9BtJ8kxJBHXnToIcF29m9+/o4aXzk9kPJeBgRZaz7vWAEgrvKOcNvz0009z4cIFiouLeeCBB9LK2GdamVjremo7ptdnCShyWVJr2+i1/wvFMhTJNm+0eijLs/K7O6toKnPwn37coruelre4/pJnRQhKh84TchanCqtlo2S0nYqBs5jiMcbLVub0miRWs8S3H2qiczSkmeiaRIrHMMVl3Vw8gPWVTr54Zy1H2r0ZzzXfLHuBooxhzkSUqEWBemqwMsST3G5vb2f//v0cPnw4dc7Nmzezd+9e1qxJrHqZfBC1rjFTUaLlQUm+71xESXK/2quibJvcVv7W27cQokTJb+yo4N71RXzlQJdmsmqm1//i3REALgwGKXZbdMVJZd9JZLM1lQDnCHqoGPyAyUAlF5tyEygTUzUktOLValy+YUpG2hiouYaYzYlEwvORbVLeirbXsEYDtKzfoztau6bOjRCCM336I0ADA9AP1WqJE7XdVIZllKXqI5EIXq+X73//+wB87GMfw2w2EwwGMxZk0xoU6gkUpQ1S9vsj15Xw4DUlfPPZnqwzUdR25skTYwBsrXdTU2TXFSflA2eRRDyVWG+L+KkcOEvAVZqzQJkoqscUizBZWJu1rdM/RtnweQaqNxO15wGJeiWmLMaioeMIjuAELet360433lLnBpi2NMdCs6wFCuQ2i0f55dbzSGTKTTl16hT79+/n3XffBcBkMnHzzTezd+9eGhoapiW55hpKyiZKlH3Ue69a4iSbqMgkTvQMV/I8tsAENR1HGKnehK8kPUY7W3Gid7xjJETrcCincIXeOd7uzFD/QwiKxrrSBErIVUxPw3aCzqKs14RErYWIPU9zNpAWeZODFHj7mShpxGdz4o/E+fxP27K+LuAuwxoNpKZMatE6FKKpNMQH/emF2RxWE1/ZU8/pvgA/OzacUz8Nrl60PBZa3li17RJC8LOf/Yzx8XFWrlzJ1tUr6PnXr2K/5jaklddq2lYtW6S+Ri797RoL0z4SYsw/+3DFexf9vHdRX9wXjXViUgiUiD2Pi407CE+Jh2xIcZmYzcVQzeac2rt9Q+R7B/AU1hG15xGVRVpxNT0C7hLiJnNitpAOHaNhWoeCnOxNf78Wk8RX9tbTORrm344M6rx67ljWAkXtQcmUUwLp3hSlZ0Tp3VCODN5++20ee+wxWlpaALDZbNx2223s3r2b0tLSVNJXplk4egm3eg+qsk+ZxEimeG0u+SUzFSZJzHIEa9iHNRqY1lb92eTy+WXitVYvr7VmXqsml+voIQmZi407EquMKvBmyMZXkkiYO8tI+WqEycxI5bqsrxmuXI+3sJaQqzhrWyWDtVuytnm91cvrGvfLZpaoKbIxehnG22D5kM1jov5bbSf1PCh9fX388pe/BOATn/gE0cAksYkhzJ4R0AjxqAd0mcI8ep6T5PbRTh9vd2QvRjhbeyHFZXrrt6U8GUkmC2tyen3xaDtVvScZKV8NksRw5fqsa2qNVKzBn19BULVMRjaGqzZmbXO0c5KjGoM3y5StUJbBn0+uGoGS6zRhdegn2SY5IycUCnHo0CGefPJJ+vsTiVR5eXncc8893HnnnbhcLoQQhMPhjKIkuZ1pscClIkrUD22mUE4wv4LWLQ8mXIcao6xcPrPLZS7OAVDdc5zCiYu0r74jVfgNIM/bjxSPUzrSSn/tNYR1vCmyxUbU6qBo4iKWaIjR8lVZE9+EyZwSJx+5rpT6Yjt//3If8Xm0B96QzOd+0rpgRsfgykZPmChtZTweT8stiUaj/OAHPyASibBjxw5WrFhBOBym+DPfJBS7NIMxOdsHmBbima04UW/rvafLobL/NCWj7XSu3EXUdmnZC/fkIFJcpmy4hcHqTaklN9TIZhsxq4MCTx+2iI+xspUZc0QAkEwpcXL/5hLWVTn5u5f60tbbmmtC0Thf+Gkbsfk0SAqWtUABNP+5Z0s0Tb5O2WZycpJnn32WgwcPMjExAUB5eTl79uxh165d2Gw2TU+J1rn0BIeWAMnlmPJ9wvRRj544UZJNlCjvZyaEEAiNuOZ8G4i5PM8964sYmozSMV6JWY6mr7MTmKCh8y1C9nwc4UkcIW9CoIg4zS2vELG76WlMLBY4UbKCiZIV2EJezPHYjLPyr6nLo6HEjt1imveF/fRycAwM1PYkUzstT0s8Huf8+fMcOnQIi8XCww8/fMk+WmyIaDCjh0bPVs31+5sNt68pZDIkc8FTjjXiJ2K75EGxhn00drxJ2ObGHvHjCHpSAmVF6yvETdbU1GJvUR3eojqsYR+WWCi7OFGxpdbNuionLptJN0dmrljIgcySESiSJO0G/g4wA98VQnxLddwO/DtwPTAKfEwI0ZnpnEKItPLIWl4TvYJoye3h4WEOHDjA888/n5qR09jYyN69e9m+fTuQ+Ked9JioXZIwfZ0crZFHNuGkFiJaXhItw6D1cOfiKVFuz2fy61LymADk28185pYqLo6H+aMe/7RaByFHASPla/DllROzOVNlrhFgiicW4VITUa10mit/+dxF7BZpQVcdzrebKc+30j6ydMvfz4etMEig52HV+q2VGKv2oCRD3N/5zncQQnDvvfdSUlKC3++ftqqxcsaP2gYqPeDZvCfzLWiSWM0Sn91Vxbg/xue7fdPCOVGbm+GKtQRdJUTs7ku2AjBr2AkgkUuSY86Kkr9+sQe3zTzv4kSJ22aiutBG6/D82YolIVAkSTID/wTcA/QA70iSdEAIcVbR7DPAuBBilSRJDwP/C/hYpvMKcSlsMxNRIoSgq6uL/fv389prr6WExsaNG9m7dy/r16+f9mBqnUtLiGTz3qh/Q3ZRovw7WyhHb7/62HyKklzbzOfr9ZgMy/zvF3r0k+lMJoaqp8dwS0bbQMBY2eyqQFojfuo732a0bGVqKnIwGicYzfLCOeZzt1WztSGPLz3aTr8nsrAXz4H5shUG2dHzbqhDPOppxW+99Rbvv/8+LpeLffv2pRVsU7ZLhnhymbEzF+Lkcm1IVBZ8+/keAnoDCElKlcFXUjTagSRkxsqy56RpYYmGqO88wkRxI+NT9iYcE4RjC5tD9tu3VHHLygL+xxOd8zagWRICBbgBaBVCtANIkvQz4EFAaXQeBL4xtf1L4B8lSZJElm+Z0qOh/lGLhFgsxpkzZ9i/fz/vvPMOU33hxhtvZO/evaxYsSL1EClfq/SUaAkOtfrXCzsppwqrQzZa4kPLY6I8rm6j3Kdmpg/rYnpM5ptjXTNbmMsUi1DVfxoAW1g/y3/Hinxqi2zsPz467Zg5FsYe8mIPL+6qwq+3epgIxhjxLbAyyp15sxUGl9AbuGgJBeV+tY2NxWJ873vfA+BDH/oQLpcrNY1Yy0usd93LfQ8zOTYTMhVt075wnOre4wDYwvp2Zmu9m1UVTh59bwR1V01yBEcosejpYvJmm5eYLOibx4HMUhEotYCymlYPsEOvjRAiJkmSBygFRpSNJEn6LPBZgMrKyrTy8UpBoRQlsViMo0ePsn//fs6fPw+A1Wpl165d7Nmzh7KyMmRZTkvkyiVcpPSAqEWMcr+WKFF7UfSES67Jr1oPvvohzSW/ZCb7cz2eK0v1/0vcYqOv9lriJotm+eskH76ulIYSOy+em5iqVplAAjaua+BC/j4mY/P7SDaW2JGkxBLsWhxpn+RI++KKpCzMma2AdHvR0NAwH/29IsgkSJK/1d4LrRCPetXil156idbWVoqLi7njjjtSpezVCbTqlYq1BnDqQZ5WH5c8kom+uq0AeIr1v28PbCllfbWLVy94GJxMHyxsXF1Ne94DeKL6JQXmgrpiG3aLiTadEM673T7e7Z79Ksu5sFQEypwhhPhX4F8B1q1bJ7RCPMl9kUiEl156iSeeeILe3sRKjW63m3vuuYe77roLtztR2EqruFo2gaJOklUnzGZKelULj0zHFO87p9/q7dmKkmzHcjmeCwthdDbVuCjLs/LKBc+sz5GqNDtFdaGNbY15PHdmPJVV//cv9VHssqSJE0hUeP2DXeW80uHmB2/Ob22Br9+fMIq//e8t83qdKwWlvdi2bdsV8B9u4dATJ2oPsdK+KqcWh8NhfvjDHwLw0EMPYTKZUjkpyrBOpkGelqcmmziZT7u0rtJJXXFikDFb1NWky/Os3Lwyn+fOjKeS1b/zWj+VBbZp4mRDlZMv3lrOOz0F/NOr/bPuQy789/vqKXRa+PS/nWexJvgtFYHSCyiHnnVT+7Ta9EiSZAEKSSTA6aL8kiu/+MoZOWNjiSqBpaWl7N27l127dmG326cpeeV0YL06Jlqho+RrtB7sZB/VwkPvuPq9qbfnWpxkuq9z0eZyzpHnHSDf08dgzWbdaoi58ls3V1JbZOedrkn84blJSP3QlhLuWFtET98Yp3t9RO159Hkimu7QoWNv8e1n2wlvvw/QX215JlQWWPn1rWU8cXyU3olL1/zFuyNZq9IucebFVhjkTiahorR9Tz31FH19fVRVVbFz585pi6FqeUmU59fang0u3zCFY10M1WwmZtZfCiIXPrmjglUVTk70+BmeozDonk3F7N1UwtDIJO+2jxGx5zM4GZ0mTgDGTr7Ht184T3z7PYB7Tq5f4rLw8e3lPHN6LK0i92Pvj5BnNy+aOIGlI1DeAVZLktREwrg8DHxC1eYA8GngCPDrwEsiyzdWCJF6KGRZZmRkhIMHD/Lcc88RDCaqadbV1bF371527NiBJEkp5a+sfZKrylfXWlE+eEkPip43RE+ULB2PieCW5nzO9gcZC2gnYy2kx6Rw/CKFnh4mSlfMuFCRmn95fYASl2XOxAnA/vdHaR8JMfnG86yMhTm38X7QqfLqN7uw2fLo9sRhNvZTCAomegi6SojaE0ZrS62bXasK6RoN0zsxlmr63Jnx2bydpcS82AqDdPQGUGoRogzrxONTtU8iEZyTHfzokX8H4KMf/ShCiLTQjvI16hk8eomxWp6TTNtJCsYvUjTejaeonliOJef1+P6bg9QW2eZMnAAcPDnGoDfK0CvP0xya5MKGvbqDrqDFRdiWx0WPgJnNRE6RP9FL2FGQKkC5vtrFrtWFDPuiaQLlpfOz9yjPFUtCoIhEnPgLwPMkpg5+XwhxRpKkPwWOCSEOAN8DHpEkqRUYI2GYsp2XWCxGd3c3jz/+OK+88kpKdKxbt47777+fjRs3poV+9KYGz6S4mtYxPcGht51JmOQiVNTbl5tfsqXWxf93WzWvtXj4zuuDmm0uh5meY6B2C+NlTZriJM+eWGDveE/mBfaSXBgMZm2TK2V5FkZ9MYZ9UV74YIKy4kbMckRXnACMl62c8cJgSpyBMeouHsNbUE3PihuBxPLxg94IZxZ5LY25Zr5sxdVMLv/stWyYVm6fLMs4o2O8euBHjIyOsWLFCrZu3ZqyrUoxohz4qQdwWtfM1nc9hmo24ymqI5BXPu2Y3SLxvz/STOtwMKdF8dpHQnM2Y6XUbWEsEGM8EOP5s+OUFNVjC/uJZ6iX5ClpnPGCo0rsIS/13Ufx55XT1bwTSCS7eoIxzs+hHZwrloRAARBCPAM8o9r3NcV2CPjoTM4ZDAb55je/ydGjRxFCIEkSN9xwA3v37qWpqSklKrSmGWuFcpQiRC1K1Emt6odO7SnRc2cq22cSIurXah1LMhtxot53biDI/vdHeUcxw2UxhEkS2WInoFPMSABxAfICVTtMcm2dmy/vrufnx4Z5/PgoplgER3ACT5F24myh00xNoY0PBi7PMASdxQxVrsefd2l0GBdwsnd5iZMk82ErDC6RzcZoeVGUQmPIL/EXP38LSOSeKG2rur3WxADldWdiH/Taxs1WTXGSRI6LBbcVayudfP3+Bp46NcZPjg4jyTGcgfHEgqIaJe7z7WYaS+2c7ru8Zzpsz2ewagNB16WKtgIu+7zzxZIRKPPB6Ogovb29WCwWdu7cye7du6msrESW5VTRNfWMHK0pw9nyTJIPktaMHD3PifoBzEWUZPKSqB/OTKJkNqORiCz45fujiypKcsUfjvOFn2VfYG+uGZyMcmEwSOdo4rtli/gp8PYTN1uRLXYs0WDaLJ/f3VnFtsZ8/nh/B91j+qsx28wSX9vXQMtQkB++NTS9gcmU0zo/ubBrVQHDk1HOLcHRlMH8ksljoiVI9Gbu7H/iSUYnJlm1ahUbNmxIm7mjXJtMXftEaWuVfYDpqxTrDcYyvSctwjHBf340+wJ7c82oP0rLUJD2qRky1miQAk8vkogTsbmxhX1pnpJP3VTBrlWFfP1gV0ZPh1mCr+5roN8T4V+0vMeSxGjF2jl5Dzc25eMLy/Mqbpa1QCkqKmL79u3ce++95OXlpT1YWsmzaoGinoWjFiLq0YSeIEmeB2YXysk1pJNL0uvluEovV1jMtzBZLExyFEs0RD/5fO1gV2p/yFVM2+o7idjdNF94CXvEz7n8SuKWRKLJS+c9jPpjaQXRzCaoK7LTpRAsFrNEZYGNYDROvt3MZHh+qkXmO8x8/vaaRBXdxzrm5RoGVx5aYkUvzOPz+VILAj700ENpNlc9a0crBK6+JkwXJzPp91JDkmNYowFGKODrB7tT+yOOfNrW3EXM6qSx/Q2cwQn8eeXEptb1efWCh1A0nmYXTBI0lNjTSgaYTAlbYTZJFDrnr7Ks1SzxB3fWJKrozuNgcH4nUi8yDoeDj3zkI7jd7tS0tlgsRiQSSftb+aOOk2pta40ktB5YtchRe1/Uwgamuza19s9GnOi5S3Nxo87U1TrXr1/q1Ha/w8oLh7BGphdtCjsLESYL/XXX0Vt/fUqcALzX7eMHbw6mLe71QIPg89dYuLYukeya5+0nNunlDx9rZ22lky/vzm0lZTWSBDc355Pv0F9ifTIk80+v9PG9w9nzdgyufDLZGb1tPU9K8ueXv/wlXq+XNWvWsGnTpjSbqg4FqQWKlliZrThZqtT0vM/KC4ewB6cnoEYcBcTNVgZqttBXd11KnEAiBPO9w4OEFFVr762H/7RR4qbmRLKre3IQye/hP/+ijboiG1/fN/u6Pjc25VPs0vdfRGXBP7zcx3den9+pzsvagxKPp6+SqfSAaHlKtEI5WrNy1LklyodJL7dE/RAq0TMI6uPq7ctNfJ3Na3NlORiTXJDiidhx1OogppMTY4mGqO0+hr2hmZs3FvPsmXGIxzHHo9MWBbvw3LO0xKIM3PAQtvAkDZ1v4XeX0e3YxZvtXnrGZ1e1cVtDHn9wZy3Pnx3PWGvl9dbFrU5psDRQh57VuSPKAV0ydOP1enn00UcB+MhHPpIK7SRDQOo1d9SzJJPX0/Ko6PUt0/Elh4jj8o8Qs9jTVjxWYopFqO0+hq2qlp2bS3jq1BiIOGZ5uq3oOvQCj4T8jO/4NSzREI0dbxJ0FNKx5k7eaPPO2nuyqcbFf76rltdbPBlrrSxEQcdlLVCAad4NdVhHKSoy5ZdohWNyOab8W0tQ6IkS5XH1MSOUs4QQIExmgq6SDKsVCyQhUy57KOt+n0JHM3nnj5Lv7adt7T1pxqq3YiOmuMx4QAZbHkOV6xLnFvCd12bv2TjdF+DgyVFDgBhkRWvApPxbL8Szf/9+JicnWbduHevXrycUCqUJm+RrlLl6mbzHWt6TK9q2TNmKiD1PdxqxhMAkZEqFn/zWo1TmrcF07j2KxrppW3Nn2sKjveXrsUSDjAUAi53Bqg2EpxYk/N7h2Rd8vDAY5MkToxztXPyK0staoAiReTVjLS+JlndEz2uSi2iB9Oz0ZLtMvzNtz3Xy60zaLMQ5FgtTLELhxEU8xQ05FX5zTw5S1XeSvrqttKzfndgp4unTiYWgaKyTQF4ZFzbej9TxKoPdJ/Ctr8biLEosq666VtoUQklipHL9XLw9gtE4Pz46PCfnMlhezCSkoxXWicViad6TD33oQ9NC58nXqdcxS9rWmXhO1Nt6beYLkxylcLwbb1HdNK+GFk7/CDU97zNQcw2t6+5N7NSwFYXj3YRcxVzYsBe632T07dOMrashz1FE0DU57VreIkW4dw6TXyOy4KfvLA1bsewFSiQS0RUlSkWfbK9+aNT7F0KUqB8yQ5TMP8VjHVQOnEUSgrHyVVnbWyMB7GEfllgiC989OURDx5v0116TKnvv8o9S03scT2EtvY030Fq3A7McQbbYGa1Yw2jFGs1zW0wSD28r40Svn1PLdKqwweKifm4zeUqUdlIpSpQzdw4ePIjX62XVqlWsXr06beZOsq1SqCgHjECaPV3qeSeF4xep7juJWY7mNHvOGg0lbEU0MfvG6R9jRftrDFZtZKx8NQCOkIfanvfw5VXQ3XwLbTXXYykPEbW5GC9rTq1arMYkwce2lXN+MMh787wuzmKw7AVKpunByTbKtnpT3HIN5SjbK/uR6bfevtnmmOSCIU7SmShuRBICT4bF/tLalzbhLaxNJb3GTWZiFlua9yXgLmGwaiO+/EoAZKsD2erAYpK4vjGP4xd9qbU3lNQX27h/SylVhbZ0gSIENRffJWpzaS7jbmAw1+h5VZT2MhgM8thjjwHw4IMPanpdtAZ5yn3J82fqh9a2Xpv5xFNUh1mOMJFjwTRvUR3n8irSbYXZTtx0yVaEHIUMVG8m4E7UJ5EtdmSLHZME2xrzOdXrJxid/v+gIt/Kg9eUcqbPP02gVF98j7jZymDN5tm+1UVn2QuUSCSRVKguQ6+Xd6InRJRThdUPVS7CJJsYmQthshBekytZlNgtEnFB2qyZJLLVMeNaIsoZOUF3KS0b9qY3kEyaXpI71hbymVuq+Ok7Qzx5YiztmC3sY/LsOf7SCt3e9CQ3Scjke/uJ2NwLKlDcdtOcLgNgsDTR8pyoxYZyVk5y++mnn2Z0dJTGxkY2b96M3+/XnAGp9p5oCZZs9mWhxInVLCGRCHeoiVtsl2Urws5CWjbsSW8gSZqe25tXFvCF22t44vgoPzuWHnaxRALEWrr5sycFQ0FVcTchyPf2ETfbFlSg5NlN+ObQVix7gZKMec6FKEnuN0TJ4rOm0knHSEhTbGghSfC3H23GG5L58uOdc9cRIXAFRgm4SjKWs1fybpePuuJx3uqYnoRWMtJGyWg7o29NMD5Vtj51KZOFtrV3E5fMVBZYkeOCEZ/2ukhzxSe2l7NvcwlfPdA1ZyW+DRYXLU9uNi+JOu8kOSsnFArx05/+FEh4T5ThnGQb9WuVibJa11P2cy48J6srHHSPhTW9lXp8+6EmTBJ88RdzWMRNCJyBUYLOEjDlZitO9vh5/sw4b7ROn5ZcMtpB2fAFJv0jDDfdkl6BVpJoW3M3SBLleVZMEpqLD84lv3ZtKf/h+jK++cxFzs7REhvLug4KaNcfyeRy1FLymUYVeu2UZDIIyT5mYjHFyVJkx4p8/vSBRh66rjR74ymEgM7RcKrK61xRPNbJirbXKRnRL1ZkikVY0foqJcMtAIwFYvzgzUEGvdMNxkjFGmJmG3mTg6DxvYhZnQiLjf/14Sb+z0dXcsvKgmlt5pI+T4Se8TCTofkp+GSwNMlkF5U28Fe/+hXDw8PU1tayfft2TVurnrmjvIby93ywpdbFn31oBR/fPrNFAjtHQ3TMsSAvmOihqe11yofO67aR5BiNba9TNngOAG9I5gdHBumZmF5eYLR8FVGLA7dvBJM83ZbIVgeyxc43H2zkbz7azJ1rC+fuzWgw6I3QOx5hIjh3g6aryoOSKQ6abL9Qya9LXZQsZWHTOhzkrXYv73dPL4yWiW//qmfO++J3l+EtqMGfV0HJcAsxiyOtnD2AWY7iCE4QsV1aHn1TjYsv31fPv7zez5vnhhGSRMFELwAdq29Hisu6oywBvNM1yS0rC6grnvnyx3s2FvPx7eV846nurF6RVy54eOXC4q9qajA3ZLMrShupziNRzsqJRqOEw+GU92Tfvn3TvCZaRdr0PCdq26vu62ztYddYmCPtXo51zWzKbC4LB86UoLsEb2ENvoJKikfaESYTEyUr0tqYpuoqxc2X/jWvKnfwtX0N/OjtIV48NYSEIG9yEHMsQseq2zDL0bQQkpq3Oya5e30RDSUOYGbP8u1rCvnMLZX85XM9Wb0iR9on57w2ylUlUJL75mpGjvI1Wvu1to0ZOZfPqD/G/5kHAzIbIo58elbsQIrHaG45TdTmmiZQonY3Let3p00pluOCUDROVJZZef5FZIsNSzSEJATnNn8o63X/6ZV+HnlraFaejaicuHb8Cvm8DeYXvfCOVohHKVDeeOMNuru7KS0t5frrr59WjE05xTjbtOJcajvp9TsTnqA8L2JjNkRtbnoad4AQNLa9TtxkmSZQZKuDC+t3p61oHBcQisWJxgUrW15KuIMlCUs0xHhpU1rFWS2+/+Ygj743gm8WS2REZUE4Kogt8GKKSZa1QAGy5pHo5ZaoX6NGzz05G2GyFLhSxMlSRZgsdDXvRDZrj2TUNQw+GAjyOz9KhHxq8iuRLTa8RXU4faPkT/QyWVQ77RwmOUrxaAee4npiVifekMwf3lOLzWLiL569mHNfXzw3wYvnJnJ/cwbLjmzhFbWN1BIvv/jFLwDYu3cvJpNJc8mPbGGimfQ1274rBkmiq3knQidnTe0NaR8J8dkftQJQlV+JhGC8tBnX5DD5nr5pAyIAKS5TMtKGt6iWqM3NZEjmC7dXU5Zn5U+e7ibX23e4zcvhtsUr7risBYrSc6J8WDJNE9ZyNSqPZdqvPpaLKFlMr8kV/ZBrsKLUzu6Nxfz82AjjgflNHtUi05Lumehr2Jbaru84glmO8kFhzbRl1wsmeqkcOEPh+EX66rcSchVTnmfFZln2qWQGc0C2wZTaa6L2nCRrm8iyzHvvvcfZs2fJy8tj165dKc9JsrS9OiFWua28Hsx+peLLoabIxoNbSnns/RGG5jl5VIugO/f8OSUDddeltuu63sYWCXCuoGpaccl8bz+VA2coGu+mr+5agu4yyvKsqYTZHOcWLDrLWqAAaW7FJEZ+yRXy7ZwhO5ryuX1NEad6A4um+r94Zw2eoMy/HUmUms63m/nS3bUcbvNyKAevRW/DNkxxeZo4gUT9BZd/hKKJixR4egm5ivnvT3TO8TswuNrIlBOiVUU2Foulck/uvfdezGYzwWBw2qKqaqGinEU5kzwTrf5eLtsa8rhtTSEtQ8FF8yb+3q1VCAH/8npiCQun1cR/ubuW4z1+nj41luXV0Fe3FUssrFn5erKgmrHiFZSMd1I40UPQXcafPN2NiStHnMAyFyjq2KZerDWbx0T9Wq22SQxxsng8/v4o5waCnOyZWfLsXGGSYGONC0/gkhjOd5pZW+lkaDLCoXPZz+GfKuqmhTBb6Ku/Hk9xfaqg0yKFhg2WCVpelWxCpa2tjbfffhur1cq99947TcCoQzvq82pde6HDOM+cHqd7LMzJ3sWxFQCbatxpf7tsJtZVOQlE4jydw+szeWyFycxA/XVMFtUSdBUn9gm40ubiLWuBAqSFeCD3MI7yWCZxojy3HrMVJXP1gC5nUaIkIgtOLJI4gYRY+NKj7ciKr0PfRIQv/KwNb0g/5GSKRXCEPNMMjtUs8dmdVZzpD1yaSSNJ+PMrqSu2IcuCfo2pygYGarRsmHJbPZNRKyk2uWrxT37yEwBuvfVWnE4nPp8v48wdvXwULbuZyVbNpR2LxQXHF9FWAPzx/o60XJBRf4wv/KyNQET//4lJjuIMjOPPT582bZLgd3dW0Tka4vmzE6n9/vwKagptmCQ0pyovdZZ18Fr5IGj91vOo6P0k2yZRui0zXT/X/eo2l4PWiMVg/vGH44RUJanHA7E00aKmqu8kK9rfwOkfTdtf5LRwy8oCbmzKT9svAX/+4Aq+uq9hrrptcJWil4eil48yNDTEoUOHkCSJ++67b1q1WPWCgGobnMmToiWeljOBSHxa+XpPUM5YfLJi4AyNHYfJ86avbO62m9m1qlCzLtI37m/gzz7UODedXmCWvQdFr8ZJEj3xkckdOZ/Jr0YYZ3748LWlTARivLwEa3p4iusRJhNhR7pxGfZF+eP9HYyrCh8J4MkTo9OEkIGBFtlsUbaQjlKAPPHEE0SjUbZv305paalmKXvlOfRCPbn2cTG4f3MJUTme5olYKniL6pDicipsk2QyJPPH+zuY1JhKfODkGBbz9Jy2K4FlLVCESF+VWLk/l/CNIUqWBzazxEe2ljHqiy64QFlRasdmMXFhMKjbxp9fqZt7ouWWXVvp5N0uH11j4Tnrp8HVhZY40SprnwztRKNRfD4fBw8eBOC+++5LzdhRz9xRzthRi5ZM4Z1c+rsQfPT6MsLRhRcodcU2ChyWjAXRAu4yAu4yzWN9num2YlW5g7P9gSt2mYplLVBAf8ZNJhejenspJ74awiQ7EVnw9YNdmquBzjd/fG8dBU4Ln/7B+Vlnz2+odtFYYufZM+NYTBJf3dfARCARrzYwyJVMgzI9waIULi+++CJer5eVK1eycuVKAoFA1gRZLa+1uk96dnex+PrBrowh2fniS3fVUl1g43d+1JIxDyUTayqcrKl08vSpMQTwlb0NyHHBZx5pmdvOLhDLXqCA9kOg91AshDCZq4dwKTzMVwptw/M3gqgssPLxbeU8cWKUztF0r8bPj43gspkua2rfJ7aXs6rCybEuH8O+KD85mnsF2fI8K793axU/PzbChSF9L47B8kTLe6z1t1ZoJ1nePhnCefTRRwHYvXv3tJwT9aKsmcI72URLpv4uBOpneC4pdVv45I4Knj0zPs2r+sv3RijPs85anAD8+vVlbKl1c7LXT/dYmB8fHSKe41S/IqeZL9xew8FTo5zomZvF/i6XZS9Q1LN3kmh5TZTt9TBEiYGadZUubmwuoGM0NM24vdpy+SGl//fGANWFNoZ9iRk7z5wez/m1+zaXsLHGzcPbJf706e7L7ovB8iBbzoly3Z1IJJIqa19SUsK2bdsIBoOpom1JoaIuyqY1KUFPnFwtdm1luZObmgsY9EanCZS5WMfmh0cGWVGaWL0Z4IUPJnJ+7d3rithU68ZtN3Oip/Oy+zIXLHuBki18o8RYJ8dgNrzW4mFwMkJLhjyTy6FrLDzrfJOnTo1SV2zj58eG57hXBlcqmZJU9YRLsqz9vffei8lkmiY8lPl+yXOpC1/m2pflzNHOSb5xsIu2ecoJ6Z2I0DvL6cQvnJtgTaWTgyezF4lbKJa1QMk0QyfJbJNfDWFy9fBbN1USiwseeXtI87gAzg0szfDJiC/GN5/JfZ0eg+WJXrhFPeNGXf8kFovR1tbGu+++i91u59Zbb03VRVEm0qqnFudS92Q5ipdPbC/HZTPx3cODum3OzdNA5nLxBGX+4rm5X/H9cljWdVAg+9z+XF6XaV8ur7ucPhssPjc153Njc372hnOA07rsH0mDBUIvjK0lTJRJrkpxEo1GeeyxxwDYuXMnVquVSCSSNrtHHd5JhnzUdld9fXU/tfp+pbGjKZ8bmwu0VqqYc1y25W8rlrUHJclCJL7m2mYhzmEwt/zR/o55v8ZD15ayvtrFhmoXXz/YRescJvWuKnfQMRpalJkJBksfvUGcEILJyUlefPFFAO66665p+Sp6IiR53tn250rlKwe6sJgk5vMt7NtcwpZaN5trXfzFsxc53Td3Ca0ryxP5K5mKxS0ky16CKeOheuIk0wNmeEwMPEEZT3B+V7F4YEsJK8sd9Hsi+DSKLc2Wm5rz+eaDK/jwtdq1EwyWJ3peiWwe5aTnJBm6eeaZZwgGg2zcuJHq6uqU90TpZVEvCqh3Da1+LTebNxmS530l9X2bitlQ7WTAE8Gb42y+XLi2zs2fP7iCj22b3ars88Gy96DMNPF1oTwlc3meq5WyPAujvhjL4S5+5UAXcQH9GsWWMlHqtjAeiOkuGtg6FOJo5yQnenxz0EuDKw11mEf5Wyu8kwzRJNfdeeKJJ4BEcmyyIJuWKMnkVVGLE73Qk96+uSDbc3Il8adPd2MxSTNeW6fYZcEb0l92o2sszNsdkxy/uHRsxbL3oOixmOLA8JZcPptqXPzjw6v46PXLwzPQOxGZsThZVe7gHx5eySd3XFo4bF2Vk2LXpXHHsC/K37zYS8vQlVlJ0mDu0bM/amHx9ttv09vbS2lpKVu3bs2aBKvev1RIPie/saMie+MrgAFvdMbipK7Ixj8+vJLfuaUqtW91hYNS9yVbMR6I8beHeuc0ZHS5XFUCZTFDOUYYZ24Z9kW5MBiY1wJsS50xf4wLg8HUPagptPGN+xv5vVsvGSG7RWLf5pI00WKwvNELo+iFdtSzdpLJr8nCbHfddReyLKclx6pn8uS6YnEm78l8kXxO5jKv60rDE5Q5NxCgZapYY7HLwp880MgX76xNtbGaJfZuKqY8z7pY3ZzGsrZamQSBkfR6ZTPojfK1g1d34bGxQIxvPHXpHgxORnj29FjaWh43NhXwGzsqKHSY+ck7Ri2UqxX1AEntDVELla6uLo4ePYrFYmHnzp1pokQZEso1aTaXAeB8oX5OrkYmwzJ/pig3MBGM8cypMToUhSWvq8/jUzdWUl1o43sZpkkvJIsuUCRJKgF+DqwAOoH/IISYVipTkqTngBuBN4QQ91/ONQ1xYrAckePww7fSa7W81eEl32HmcJt3kXo1dyyGrViOqIWKOjQTj8d58sknEUJw0003kZeXlxImytdohXYMrgyEgB8dTR+wvH/Rx7+/Ncg7nUYOipIvA4eEEKuBQ1N/a/FXwG/M9iLGjByDxaIi38p/uL4M9yLULQjHBE+dGpv3mQULxILYiuWCltdEKSiUqw8rQzs+n4/nnnsOgDvuuINIJDKt9kkyvBOLxaaJm5nO3DFs5SVKXBY+tq2MAod5wa8dlQXPnB5PLamxFFgKAuVB4IdT2z8Efk2rkRDiEDDjxQpyEQtzISgMUWKgx13rinjoujK2NS5MsbdlzLzaiuWAXo6HXh6Kllh57bXX8Hg8NDY20tjYmCZGkm2EuFTa/nJn7hhc4tY1hXz42jJuXlmw2F1ZEix6iAeoFEL0T20PAJWXczJJkj4LfBbA5XJlbT8XwsTgysIscVmrC8+Up06OMeCJ8Gb7lR9mWWTm1FZAur1oaGi43NMtSbIlyapzSg4ePAjAPffcM23WjvK38tzLFZPEgk5Nfv7MON5gbFmEZOeCBfGgSJL0oiRJpzV+HlS2E4lv+2V9HYQQ/yqE2CaE2Ga32/XaGDNyrlJWlNr5wafX8OFrSxfsmpNhmZcveNKqM9otEhX5SydbfqmwkLZi6jwpe1FevnQKVM0GLS+FXnhHqzR9NBrlwoULnDx5Ervdzvbt21PhHWWBNvXsHa3Vi7P1S31sKVJdYOX7n1rDJ25YuO9FMBrnpfMewrFL98VqlqgsuDptxYJ4UIQQd+sdkyRpUJKkaiFEvyRJ1YD2imyX34cldR6DxSESE0yGZPxzWK11Nnzh9hq2NuTxpUfbGZpcOjHfxWYp2Irlgp7nRLlP7UF5/PHHAdi1axcOhwOv1zutkJveTB3lNZXXyNa/pUo0nrAVvjms1jobfndnFTtXFfDlxzvpnuWq5lcqSyHEcwD4NPCtqd9PzvUFjBk5Bkn6PBE+/7O2xe4GJ3r8SBJ4gssieXWhmHdbcaWiZ5+0BIPW9GBZlpmcnOT5558HLtU+0apzot5erh7lEV+M3//54tuKU71+8uxmRv1X30BmKSTJfgu4R5KkFuDuqb+RJGmbJEnfTTaSJOl14FHgLkmSeiRJui+XkxszcgyWIv5IYn2fhYpvX1fv5nO3Vl/pqyXPq61YTmgJE7XHRF2Y7YUXXiAQCLB69Wqqqqqmzd5Rl7fXSpI1Zu7MPYFIPGOJ+rlmQ7WLz99eTf4izCRSs+jWSggxKoS4SwixWghxtxBibGr/MSHE7yja7RJClAshnEKIOiHE8/Pcr/k8vcFVzm2rC7lrXVFaqWktnFYTd60txHGZwuLmlQXctqaQ2iLbZZ1nMVmqtmKpojVjR+snKVoOHDgAwO23365ZiE29GGDyGsrfWvsMW3p57FxVwO1riqjOkodit0jctbbwsssZ3NiUz65VhTSVaudwLiSLLlCWEobH5OrFbTfxnU+s4nO3Vs/5ue9YU8gjv7WGDdWXZpX986v9/I8nOhnwZnbb3rO+iN/dVc2dawsvqw8/eHOQrx3ouqrLfV8N6OWF6M3cSf60tLTwwQcf4HQ62bZt27QFAZW5J1pVYyHzwqzLCZtZ4h8fXsl/ubs2e+MZcmNTPj/6rbVcV+9O7fvu4QG+eqAzreqrFreuLuR3d1Wze2PxZfXhJ+8M842DXZzsXfw1eZZCDsqiYogRA0hUVgzH4kTmwY8ajQtCUUFMMYvHG5JzWir99VYvDqvpsqcdBiJxLkytw2GwvNCbHaPnKYnH49PW3nnqqacAuOWWW5AkiXA4PK0om1Z4Rx3aUfdpOYZ2BBCKxgnH5t5WxOKCUCxOTBH79YfjOS32+VbHJMUuC69c8FxWH0LROOcGl4atuKoFynJ4WAwun8/uqqKh2M5//WVHmmGYK95o9fJG6+wExnggxi/eHZnjHhlcLejloghxqdBaOBzm0KFDQKJyrFYyrJZ3OZMwWq58akcFG2pcfOVAF6Ho3AuUY10+fueRllm9djIkLztbcVWGeJb7Q2QwM0rdFkrzrJivyqfBYLmgN61YnRyrLnH/yiuv4PF4aGhooL6+XjMpVlnWPpNoWe6UuC2Uuq1YDFuxIFw1HpSr6SEymBnfeq4Hk4kFy5KfT9ZXOfnkjgq+d3iQ9hEj32S5ky0hVTnLRmsGTywW48knE7O177zzzmkze/TK22vlnlwNM3f+z0t9WEzSvHhaF5rmMgefuaWSR94aWjIhHTVXhQ5cDg+GwfwhmL04eWBLCVtq3dkbLhB1xXZWljupLtSfrXPfhiK+/6nVrFgCWfoG84NWOEbLq9Ld3c17772H1Wrl5ptv1vWQ6HlKrkbbOltxsmdjMdc35M1xb2ZPTZGNleVO6or17cCuVQX84FOrWVfpXMCeXWLZe1CuxgfIYGEodVv4jzdU0DoU5GSvf7G7A8ALH0zw/kUfI77sBeCkBeiPwfyhZ9uU3hT1VOFkmEadHLtjxw5sNhvBYDB1TDmTRy1cktta19Tq29Vuh902E79xYwX9ngjvdvsWuztAIjfu3EAgo62QJJAkadGMxbIXKAYG88WoP8Zf/aqHwcnIYncljWzi5PmzEzx/dmJhOmOwYGh5O/TyT2KxGJFIhGeffRaAnTt3poqyRSKRlDhJihmt8M5M1ty52vFH4nz7+R4mlljl6Gy24rUWL6+1LN7ChYZAMTC4DJbKaMjAQEkuBdreffddhoeHqaioYPXq1Skhon691nln2hcDON6zNLysVxKGQDEwMDC4gsmWb6JX3j7pPbn11ltTHhXlqsV64R296+n1zcBgtlwVSbIGBgYGy51sxdmSAkWWZSYmJnjjjTeARHE2rcqxysJsuU4rNgSJwVxiCBQDAwODK4xchECm8M7LL79MOBxmw4YNlJWVTUumVQsRdVKs3tRiA4O5xAjxGBgYGFyh6BVn01rkTzk7Jzl7Z9euXWkrFifL2ivDO+rkWL0ZO8bMHYO5xvCgGBgYGCwjMgkVWZZpb2/nzJkzOBwOtm3blhIkSnGi5U0xck0MFhrDg2JgYGBwFTE+Pk5jYyPNzc04HA6CwaVZRdTAQFrOyleSpEng/GL3Y4oyYCms5GT0I52l0g9YOn2Zi340CiHK56IzC8USshfL6XswFxj9mM5S6cu82orl7kE5L4TYttidAJAk6dhS6IvRj6XZD1g6fVkq/VgEloS9WCr33+jH0uwHLJ2+zHc/jBwUAwMDAwMDgyWHIVAMDAwMDAwMlhzLXaD862J3QMFS6YvRj3SWSj9g6fRlqfRjoVkq79voRzpGP6azVPoyr/1Y1kmyBgYGBgYGBlcmy92DYmBgYGBgYHAFYggUAwMDAwMDgyXHshAokiTtliTpvCRJrZIkfVnj+N9KknR86ueCJEkTi9SPBkmSXpYk6X1Jkk5KkrR3PvqRY18aJUk6NNWPVyRJqpuHPnxfkqQhSZJO6xyXJEn6+6k+npQkaetc92EGfVknSdIRSZLCkiT94SL24z9O3YtTkiS9KUnSNYvUjwen+nFckqRjkiTtnI9+LDSGrZhVXwxbkX7csBXpx+fPVmRaUOpK+AHMQBvQDNiAE8CGDO1/H/j+YvS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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#------------------------------------------------------------\n", "# Compute the decision boundary\n", "clf = classifiers[1]\n", "qlf = qclassifiers[1]\n", "\n", "xlim = (0.7, 1.35)\n", "ylim = (-0.15, 0.4)\n", "\n", "xx, yy = np.meshgrid(np.linspace(xlim[0], xlim[1], 71),\n", " np.linspace(ylim[0], ylim[1], 81))\n", "\n", "\n", "Z = clf.predict_proba(np.c_[yy.ravel(), xx.ravel()])\n", "Z = Z[:, 1].reshape(xx.shape)\n", "\n", "QZ = qlf.predict_proba(np.c_[yy.ravel(), xx.ravel()])\n", "QZ = QZ[:, 1].reshape(xx.shape)\n", "\n", "\n", "\n", "#----------------------------------------------------------------------\n", "# plot the results\n", "fig = plt.figure(figsize=(8, 4))\n", "fig.subplots_adjust(bottom=0.15, top=0.95, hspace=0.0,\n", " left=0.1, right=0.95, wspace=0.2)\n", "\n", "# left plot: data and decision boundary\n", "ax = fig.add_subplot(121)\n", "im = ax.scatter(X[-N_plot:, 1], X[-N_plot:, 0], c=y[-N_plot:],\n", " s=4, lw=0, cmap=plt.cm.Oranges, zorder=2)\n", "im.set_clim(-0.5, 1)\n", "\n", "im = ax.imshow(Z, origin='lower', aspect='auto',\n", " cmap=plt.cm.binary, zorder=1,\n", " extent=xlim + ylim)\n", "im.set_clim(0, 1.5)\n", "\n", "ax.contour(xx, yy, Z, [0.5], linewidths=2., colors='k')\n", "\n", "ax.set_xlim(xlim)\n", "ax.set_ylim(ylim)\n", "\n", "ax.set_xlabel('$u-g$')\n", "ax.set_ylabel('$g-r$')\n", "\n", "# right plot: qda\n", "ax = fig.add_subplot(122)\n", "im = ax.scatter(X[-N_plot:, 1], X[-N_plot:, 0], c=y[-N_plot:],\n", " s=4, lw=0, cmap=plt.cm.Oranges, zorder=2)\n", "im.set_clim(-0.5, 1)\n", "\n", "im = ax.imshow(QZ, origin='lower', aspect='auto',\n", " cmap=plt.cm.binary, zorder=1,\n", " extent=xlim + ylim)\n", "im.set_clim(0, 1.5)\n", "\n", "ax.contour(xx, yy, QZ, [0.5], linewidths=2., colors='k')\n", "\n", "ax.set_xlim(xlim)\n", "ax.set_ylim(ylim)\n", "\n", "ax.set_xlabel('$u-g$')\n", "ax.set_ylabel('$g-r$')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "solved-intensity", "metadata": {}, "source": [ "## GMM and Bayes classification\n", "\n", "The natural extension to the Gaussian assumptions is to use GMM's to learn the density distribution. \n", "\n", "The number of Gaussian components $K$ must be chosen for each class independently\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "variable-generator", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/bsipocz/.pyenv/versions/3.9.1/lib/python3.9/site-packages/sklearn/mixture/_base.py:265: ConvergenceWarning: Initialization 1 did not converge. Try different init parameters, or increase max_iter, tol or check for degenerate data.\n", " warnings.warn('Initialization %d did not converge. '\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "completeness [[0.48175182 0.68613139 0.73722628 0.78832117]\n", " [0. 0.11678832 0.41605839 0.68613139]]\n", "contamination [[0.85201794 0.79249448 0.77605322 0.75675676]\n", " [0. 0.33333333 0.13636364 0.21666667]]\n" ] }, { "data": { "image/png": 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phy+A3R945uwOLrv2krEuj1FcV6ukX5rLob0ec9mj4m3iaJEfZaCGnAwHVqAbD6CKL4eisyWNOOrc4LtKHgKTrkZb7CiLFRUQhVG2aJh2A7riM8xlvxEBd/JQiY4EEihbtETikoeg8oO8Dk8YaK2XKaUK+xhyIfBXLfmtVUqpRKVUltY6xIcdRhhhDFac8AQFrWXRcnVB9Tb0ng+gcLbnG3Y0Kn8m2nTL/qHzUBFxqMh4tNuB9lZMKCUlxgGnVclDISYN/dH/kzLSkafDyXeC1Q5drWiLTQhL5jiITYX9y/2Le0oRVGzwR1tMJ5StEw2MNiFtuOhcALa+hj/QZUp0JGMUes2z+BZqZ7tEY6KSwNkq0aBAdBehaiR95BXRekhYSGRNEEfbpAKPribAoC3onEeKfAwEAZGOuj0w7SbY/V5wBROIVsWMlHSb21P6O2w+JObDvg/lvh3dNSsKGkokGuXVEXU0QvZkeV7ddTlJhaicyeiaHVC2VvZ7S3qVR2gMUDALlVaE3v8xbPonOv8kVPYEVHx28NXTRoZUxACopAKJ2Lk6PaJY1cMDR1lsEon7ciOUM3UO0IOgBDpPZ2RksHTp0qMxP1pbW4/atY4Fwvd3/GIw3duJT1CsETD3blnKN/xVFpSC2TDiDPkDD1A4G73yD7Kg5M/AXP9X1JjzYc4d8L8HZUzJanTqMKnY0FoqgSLi0NEp0FqJdnSgulrQG16FEWeKeLJSyotpbwyOPHhLYQG/M6yC0eeJJ0ZTuURpWqskBWGN8ntxVG+Gznq/yDM+V87haBbvli4NZmvP52CxiTiz+aAQo+4VPmmjJOURCMMuFSsArd7qHc99dHdUDYQ9LsTCfzgIQYYCy3dBUloddVJVQzeCYokQPVBEgr9cuHSd3yY/MU+eh1dsG5EonM90gz1aUl7xuajh88GwoA+GkDF0NqLSRqLLPJqmnKlCfhv2C2GMTff/nsWkircJQMlKdMlKmH07Kia153l7gTHqbHTRmeGKnSOE7s7TR8tB80R2IoXw/R3PGEz3dmITlLYa9P8eBGVFpxRKaD8mVcLrAdButxispY0U0WRbNXrvUhh1vugIDAMOfIwuXwfTb0KvegqdPxNjxGn4vs1//P/Qo8+VNMhn/5QIij0O6vfJ4mixiWZEKRg2D+p2eRbCGFnM7bEYqSMwa3dJ9UjhHI+TqIKGvcH3FZEIeNIOzeWeFE0vqRdLpFzH7ZQqod4Wtvr9nhcBVvqBwtogUkXv5AT8aZb+0J1sBCI2Uz4Lr3Gaz8clIL4w/DR5xp/9M/j+s6d6Kp7qhN9M+Apse1NKhn2mawhRyZ8hJd3WKL+fSWAPoZZyIaXODj9ptEahpn4N7eyQlB+gsiagbdFQdCZ88Ev5nJOHgcWGbjjgE7GqKV9Dl62X34uohOAeUAPEQMiJ1lqiRNFpqMyxh3yN4xz9OVOHEUYYxwFObIJiuuXbcWSMLCon39lDVKmd7bDpZehokPLOrhYRPtbtgS2vyKIWmYQae5F4o7TXgTUCZbVjNleAy7OIW+yicZh2I6z/Kzg6hZS0eiIJ478C+z+WNEN0OqSPk6oRreVYX6jeswDv/zhglgELUmwm1AS6p2q/74m3LwzIa1eXh0gELOoxGdDqiXTbYiUlBAGE4xD649hjRUuDDnZu7UvLEghnR+/7AolE4DmdAemrklUSpfCSE+9zqPw0eA42TwPHIE8ThABZo2TuobxYbNG+MnJli0LHpApBcTvQ2xejpt3gJwvpo1GGBV25RZo4tlZLKwXtQnfUo/cvR6WPQuVMRg2bL6mmw4TuaoGWSlTqiN4HOdrQuz+AuIwvI0F5HfiWUuolpOloU1h/EkYYxx9ObIISlQRZ40UIaVjEsh4wq7aKeHX85aiOJlmoEgsgYxx63XMiTh12Gux5T84z6hxUehH6/Z+L6HH+PWhnF3z8mBCgxAKJBGz4qyx4KUPlG3KgT8eud/1VK/s/hrQRspB6CUL1VnRsqghleyCANLRWBjumgp8YOAJSO4WzoWy9pEDisv2lta0Bf6edIVJBhwLv9Xpzgu0Xh+LRESCM9TrqOlo9BMl7Og9R8ZKT/JPE/G7/ciF13ghIILyuvPY46VPUVC7njkpCjb0Q3VCC+dFjqCnXwcgzICEPdv4XGkvQS3+FnnU7ylDojX+Hxv3+8xpWiaLE5kJbnUTzALInfu70jN6+WFJ0029CJeaHfloRsTDlWhHsnmBQSv0dmA+kKqXKgPvxmOhorZ9CDB/PAXYjZcbXH5uZhhFGGJ8HJzZBaa+Dis8kPdAVsBhvfV0IRclK1NB5MPt2iIyXCMqkheiGA/DpP2RsVDJGukQ31PBT0PX70R8+EpyaMKwSefH6ZdTsgNHni3DTGyXoqPc7nzbs9ZMVr15Da/SO/8LwM4S4eBfS2ExZkBv2IpGKyJ7pFgi2srfGyFwyx8Pe/wX30YlIEK2Kt3vvkcDhkJPEQplDoFale/8c8FcH5UyC2t2ivYnL8jvpdu+gnFgoDQmjU1GJ+ejPPJ9j998BEOGv2w3NZT77eZo82srOFnTVNk8HadAtlfDZy5ISyp0mglhnOyz7NTp/ZjA5Kb4c5WgBlOiQTCdMvQ42/A296RXU+MsO/XkF3mXuVHREnAh5+xqXMuxzXWewQmv91X72a+C2ozSdMMII4wvCiU1QDCskDZGKlexJ/u2xGeJP4g3fB4gUlS0K3V4v38YtEdLEDTDr9wvxaDoYHBnJmwEZY2Hdc/Jt1WKXVENEvHyD37dMAiA2m5+suBzih2GLkcW2rsW/yCcXYgydg7n9bSmJtkdDbBo07JH9MUn+6pL82VDiMVoznR69iQPsUR6bfdUzuuEtjw35vCLAHKB7bA94IxwBGpa+oN09hbTdyQn4q4PKP/Gft36Pf3/eDGirlW0WOyRkC0GJSUXX7fGnfUynp8rJE3EpmC0EwxexMuHgRjFns9hlbIOn83JkEuz9ACITUVFJ6NLV/vvVbvGTscdKB+voZFTmOL8wNn+GpPHcDkkRRSf3/2z6gUoZFkQ+dPU29N4PUcWXHZLgNowwwghjMOPEJiix6VJhseNtlOmWFveAmvgVaKmCuEwROtqifIfojgbxj4hNg+Qh4HZg7lwi1R/uLgn9T7oZDKt8q/70JVnksidKL5WIePQni4RcNOyX8l1rpJATa6R8k2+tlrSSqxPqdvrnmzkeNvwVPeMWqdZIH42OSYG1z/nHWCL8i663csQLr46ko9F7N/1EN7q5vnrJiff8AyUbKNFrKMD0lHUnD5UUTHctiRfeSEW/p/bOxTMPe5xEgDoa5Lqlq2VMzhQRAnudcWt3QVx6sHg2dYQQNFcXHFgZfG85U+XzLl2NGn0eKi4Ts6tVqpg6GqF0DWr6TajEPLSrE/YslUiKqwNMNyopH5U/s8f0tTah6SBGUj7qpG8O7J4B3dksZfDGAP6LtlRKNVJno4i9wwgjjDBOAJz4tYqZxVIRkzXet0nZoqUyY+WT6BW/B8Qe3Ny5BP3RY1C1FZU6QhaH2l2iYfDqBiLiUbHp0kDQHiOLY0c9auQZqLzpIoSce7foUryC3MQCiZi4OiVqEJXUs9Ila6JoFtxO9Pq/omt2oJILYesbwdb1jfsDtBYhIg72OE83ZHvfz0VZ/KW0tpjgfb5FfaCCWY8Xi6Pdk37yNDP0kZPufX4OAd39WRwtYk0//NTg+bq6oPKz4G3Nnusn5MKsb/nHKYvM0dvrCKB8nWyLy0LvWyZNICNiMQpno0adDSfdht7/sfiQlG+Qc6UNl/uu2S5RNKSNgt7zgX8e61+Atc9i7lk68Ftuq0V/9Ch6y2sDO2DoPNTc76JShg/4GmGEEUYYgx0ndgQFUJHxqJFnoJsPomt3onKn+nemDAXTRJesEQvxzhaIzw76FqrTRkvovn6fGHAVnoy5/HFU7nSJimi3pAtaazA3/UF68Yw+D2WLQEcliAW91mIipizyur3WHxmYdI1UEVV84pmwAZ2Non/oaJK0EohbadZE2PO+f/4RcQHN8QwYeRbglmsu+433CSCVPjbQAZUt2u0XmNrjgqtjDu0J420b0DtClECPvVRM6Po1eNOim/GmpuxxsOcDSbMl5MrzbC6XPjihjgVwtGPEpmPWecq1tduv2fESoNhMaCz3aE6UdJT2GK4pZYC7S1IpdXsgY4zoPxILUC2VUtJrjcBsOgjl69ER8RJJ2/+RpH4Mm4h1Bwp7tDQiTMzrd6gu34je9yFq4onVbyeMMMII44QnKLpiE7rloFRnNOyHhDxUXAa6Yb+QhMyx6I0vyIKTOV70A/FZcqzbCct/Kydyd6Gm3yBi1vYGOWfFZxCbgVF0JmbpGj9Z2PQvdGK+NBfc+a6ki6JTZFHtahFC401F7PlAvtUbVtE/FJ0t6YOqTWIMZonwuJcq0bNEJUHSUKja7HGM9aZhTDjg6dK7d5nnOAe+RVo7ITIx2OPDi85D7YkTmBoaYCWOLSq4rHjLv0OPC7Sr9yIi3k9QrBF+7UprraS1fM/IA28rAS86mzA3/8cvTPZewxrl1xMVzPJ3L86egPKQE93ZJJVbiXno/JOgdBUqezJ0NKD/9wuYeCXGkLkyds//pLS96Bx0c7mkodrrIWMsKmUI5o63pflf+ug+H5WyRaOm3dDnGB+6miQFdVhVVAOHdjnQu96RCGE4UhNGGGEcBZzwKR5dshL2r5COsaPPE48TQB/8RDQcClTR2ahxl6Ls0ehVT6LLN8qYPR9I5UdUCthj0Z++jIpNh9l3SPpAm9JcsOJTlHedTiqURbRBhJq+nj550z2VPunig5FZDBj+RTMqWY6r3CSLrtsT7fCmljqbhMB0NPh7zyglQl9vkz/DIqLbmBSYdas0rQuE6RKPjs8Lr337QGDY/REEX3NDhJCFEoyGMnlrDtCrtNdKpQ74NTemh3x5kewRkHobIWo3HNwg9x+VjJr5dflstAmpHv+ZfctQhXNQI06Xnk2IfkSveAK98knMvcskUjPzVkm92aMllWaLQrdUYq5+RrxQRp2DShuBMfwUmPd9+d0atkBIxIGV6JLVA392A4AaOh+14Ae9lhsfMbRWSWPCsvVf7HXCCCOMMDw44SMoavzl0NksfUwaS9AfPASjzkaNOEO+2aaOgNQRYsK27yMJze9+H122TkqG0Z4mfKaPLCh3F7q1ShZdiw3is9EdTVIpNOpc2P0/KF8vC2XFRsicIj1/IuJg+2L03qWolGFSgurqksXV2y/I2/DPC0uER4jpBFscOFsAt3ibdNRD4wH/2I5GGHsRbF8M6/8i4klbtJCmuj2SErLH+SMFPZ8WA4qIuENoX3rAE9nx6mTqvGXBFhG5Zo0TL5rekD1ZtB3KkDl7/VsskZA9QbQ4qUVyTxWfyjkzi1EFs9BRyZA6EtJHw5qnZXHNnIDKGoe2R6NXPyOf1YHl/v49SqG1Wz6nlU+i47KkPNsaKVGpPR+AdqO85eUJeUgZ8WZUYgE0laIyx8r1XV1Sz2SPQmeMQa9+GnImo6Zef0SqeLpDWSP6H/R5r5GYB1O+JhVwYYQRRhhHASc+QYlKkrQIiD7E7UC3VKIyxgQ5cerOBhE8RiWBs1OqTAybR7vhhqHzIXuSpIZiM1Fz7wJ7DMqwopvKYdd74lTa2QT1e6UkNWciumwtKjpZyk4T86UxYVcruq1ONCUVn4VOu3jh9TYxrB5y4iERtkgYcz2s9nSSt9gBQ5oOuruEnHibAHo0FFKeXOFPJ/V8WvQgKL4qmsBt/XUuht4Ftm7xHqnYJBEfd4hxycOhdqcnJeSZT0S8EIWkAozcKejkIaIRaauVFgRttZA5QTRE656Xz6Jup5ATZUDlZ+jC2SgF2nSh7FHomHT5vOyJQkaX/QZ98l3yzE2nRLGiEsXlV1lRBdPl9wlkXqYTTBcqqxgSciAqCbOjSdKCtmjUvO/K83d7xiUP6eeZDW6cqL4qYYQRxuDECU9QAqGSC2H85ehPX0KjUEWeUL7pljJiS4QshLYYMe+y2FEjz5Bv7Cho2Ide97zoKYaeAlnj0GufkohEXBbkToeyNZA1EZU3Df3py2A60QdWQsYYVHQKes4d8OEjssAn5qNOvx+98kmpeLHYZDHLmhDQadiT4tGIkZjWslCPPEM0NV54oxre8l1brBzkbBO9SvCTkFSX2yWRG5/pnIfMBFbOhOrx83k7FytD5muNApyQP1Ns6wPvxTsnLzEBIUaZxaINqt0NGaNRsenoUefB9jdhz/tSlp2QI6mwisBuzU5wO6Qc+NQfYe75QD43i110HPY4IW6fvQwZYzCKzpYn8uEj/uecNsJHdpU9BjX///y35I2MtFaiTZek6xCCrE754ed7XmGEEUYYX0J8KQiKbvWkNGLSRLOROR6VIUJF3VaHXvWkLCiGVb7Vt4pHCi2V6C2vSqM5a6RELZIKoaEE9i8TK3xvl1zTDbYImHq9OJg2lPjdWh2t4GgXIrTvI1n0bdIrR+9dJuZimWNht6dCx9tBOCIepl4Pq5+W62SMk27HKFj1R/zRjhB+Jc5WuR+vEDSQaJhOcLlCi2O7l/X2B3sCRMYJoeuOQHfbUNfw6k3KunUJbvKkuWLTxSbed5zLU0qs0dvflPLuorMw8qdjdjRIyuazl1FTr5OoVmcjoGDmN1Cmyyd+lnN5nkfeDEmrdTTA9Btg+e+hsQTz4GdQeJLM0WKXlFE/zq2A+L+MvwLl663U7dY7GsEWdVTSMmGEEUYYxzNOeIKiy9aht74OeMSwBScFWY3r/R8DGnKnogpm+dMfLZXoqi1QtV263Do9zqedTagF/yceFd4SYK+vxr6PUDlTJW2w6WV85b0ZoyEhF737fT/5cLULiehskkUwZ0pPq/eYFNj8ir9Cw1v5Ewhlgek3CYlBE5SmUUbv1R1echKXLdd3u8DRfAhP1nMdR5P8BGLUOVC5JVgf09vxEMLe3iJVNU2lYG0RAXFrlRCborMgIk7aDigL5rq/yOfVeAAwhGAaNtSUa+WzdXWhohJQlmBfGJWQj04qQOVNRXc1S5WWPQZ90m2SorHYYNf7ksY7+U5UCGGwbquDriZU8lD/tu1vibZm5jekt0/g+M5m9Me/heQhqCnX9v14vwRQSt0BPAe0AM8Ck4Dva63f6ee4s4DfIgY7z2qtH+q2Px/4C5DoGfN9rfXiI34DYYQRxheKE56gEJ8tP1pDQo44e7q6JEVgGKIXUVbpyYOCktWysMSmoeJPk6qFyEQYd6mkEZIL0ZtflTLW9DHSBXnGTeIq29UG9ij07v/J/oxxEpkpXw9Z41FDThbPjAMr/N/gLXYoOhuVMQbGnA81O8Rqf+cS8V4BST0FenZgSAWJN0LQVCbXcXVKZY8G0D3FrIYdopOCG+Y52mDWN6GtXgSl3RHon+IlUBHxAf4rIbB9sTQ07BNeEhVK42LA/o/kdWYxKi5LynZHnAYHN6IrNgkpW/aIZ17eX2PT40lTLaJOa6QInq0R6NgM2Pq6VOnkTEI3HoCGA+iGA6iYFHTGGCEWlR5tzMgzYNM/QamQ5ARAb/qnNKKcezcqUpryqeQh4gIbGaJJny0K0kaikgr6eTZfGtygtf6tUupMIAm4BngB6JWgKKUswBPA6UAZsFYp9brWemvAsB8BL2utn1RKjUGaBxZ+QfcQRhgnDCoqKrjjjjtYsmQJmZkDiBh/wTjhCYqKz0bN/Ibvvbn1DXECRYvGZM4daFenRFnismDHYum90tkAw05FzbkDLDb03g+hrQZVfCl66xuyQHc2QVczev9y6VYcn41urgLcUj2TVYyKiENbbJCYL9f1LrzgaTLYLHqLhv3iUhoRKzoUZQipUhaYcLlUjXzykliaK/zkRLtgx9tCXqKTxWF122IhK+mjhYy010F8rqROunfz7WqCDx4mSBwbmJoJNHfzbusKjLRYgRCalFANDUPBS07ic6SE2OUQMbMXo88TsWzpGtizTPQlnY1C+tJGifi3s0WOjc2Ayk3ojkZ07S4omCl29NXbPekz5UvJqWGnQPZEdMlqdOkasMehA3oDKdMFw08De4wQRqUCBLKeMYUno1sr5TPzbsuagMqaEPJWlcWGmthnnzt5JE3lEJPi6759AsPTsIhzgBe01luUr4lRr5gO7NZa7wVQSr0EXAgEEhQNeBliAnDwyE05jDBOXDzwwANs2rSJBx54gCeeeOJYT+fEJyjdoWJS0bFpUDAbFRGLssdAVwu6fIMs6KlFEpEA6Gr2fTPW9fvAsImT6LQbYMXvZGEsvsyvHWmtBqsNXG4hHZ/8HR2bgZp8NcoWiVm9TcbZYsW8ratFtA+1u9F7l3ps2K2SXvAKO22RYozldkBWMXrilUIy1j6PT3diWGW/PQ42/dsfaaneLjqK+n3B3Zd7oFvlTijdSOC4oKhHADnpbpgGHnO4NlDuvvUtzQfl/FkT/RU8E76CYYsSr5Gs8XIfwxfA1hZUXBZq2ALMDx4WIbBhReVOg/hMdMkaqPxMmuqNOR9z2WNyjWELUAXSL0cZFohJQ9ftFjI48nRJp0XEwbBTxKW2uRzcLknL2CJh4lVgOn1GZSpzLIqxfTzXQ4duKkev/qNE3Io/X9fj4wDrlVLvAEOAHyil4ui/v0IOENjIqQyY0W3MT4B3lFLfBmKA03o7mVLqFuAWgIyMDJYuXXoo8z9stLa2HrVrHQuE7+/4QXNzM5WVlZSUlPDMM8+gteZPf/oTp556KsnJR94W4VDw5SMoBSehCk4K3haXCdNvkihJ/T7QCiZcCaYLc/UfYcyFInRVSOolIl4W0q5mVFqRCGLL1kiFR/5MKTn2aj9aq9AfP46OSvSnIpyt0GGBzmYhJA37/It35lgR3FZtBgzpzdNWh6rZjt71rvTmMayAKe608TnSB6Z+n3Tj7VGBo0TPseU/8toS4Tc46w8JeUIcQlXyBD1Aq7QNqN3Zc19noyciE2LdCXKN9drSt6IKZqL3fQyfvoSJgqR8ESbbIqFkDWr0+UIUU4f73WknX4tuLIE1fwJPGofkIej2OtSI06TNQcGsnlPPnYbubJKoR2y66Fsi4jA3vCB9mDLGydycnegNf5XP5rQfi/09iOfJ8t9BYh7GhK/4zivl5M09oi5yjAO94ncQn4Mx8crgndEpktbKOLLEZ5DiRmAisFdr3a6USgauPwLn/SrwvNb6N0qpk4AXlFLjtO7JkLXWTwNPA0ydOlXPnz//CFy+fyxdupSjda1jgfD9HRtorWlra6Oqqorc3FwiIiJYv349ixcvpqqqiurqaqqqqqiqqmLFihUkJydz77338otf/KLHed5///1jHkU54Z1k+4K5Ywnm1jfRNTvkG7M1Ukp5T74DlT5KqneayqFkNWr2t2Hy12TMjsVSBly5Gb3uz0JObNHyzXvbG0JOlEVSRd50iasTJn5VvqGDpIfQMGSWLErWKDm31/wtOg0wZVFe8Tu0Lxru8d+IiIP8k6SqZfubULpKoheB3W9zJok9/q73/QttEDkJEU2PCmDMTWW+JnhEJvi3624RF1tUMDmJzQ3eb7HD0AU9mxIaNr8Lrncu2RM9qZsA/UzDAXwCYO1GH1gh99VSBUPFZp6ydbD7PRl38BP0/uXofR9L9MPZjlF8qZR81+4mEKpwNsaoc1BKSTrQ8/moofNQw0+FcRfD1BvlHtPHoMZcgFIGuqkMc/1f0W218nkZwToVvetd9EePoRtCCIWV595DaFuULRJj/OX92uGfIDgJ2KG1blRKXY1oR5r6OaYcCGxSlOvZFogbgZcBtNYrgUgg3OY5jOMSpmlSW1vLli1b+OCDD3jppZd4/PHHKSuTSP8777zDzJkzGTJkCDExMcTFxTF8+HC2b5f+ZGvWrOHHP/4xL774Ip999hlaa4qLi3E6JVJ+5ZVX8uyzz2K3+wsJHA4Hzz33HJWVvXSjP0o44SMo2u2Q8L/3G6/W6HXPSb+WhgPg6kSXrYFxl2KMv9x/nLNT9BC2GOlUbI1EJeZiZhZL1YgtWvQblkgRSjrbRRwK/kqg1GHyLdwaIemfra/D+CskDROfBYl50nRw6Dz0ew8AWsiPd7FThofIGFLBE5clHYO7muRfpYJ9QsBvwBaVDJWetHxHXfACGpctxmShUjle632Q81fvFHGsI7AaKECsi+nvjeNFa7eS4/hsyCqWCE/gJbVb5mBYUWMuQJdvkIoYpXxl3hgW0dUk5MHaP0kV1YQr0ZnjJfKEEvv+pEKZR3SakIl9HwrpTMjzlQfr7YtFBDvtRp9QVbu6Qpb8qsR88akBSC6ABd8XgXXJGnRLlfzu1O1GZRaLTsl7S/uXiwtxwUnSxTqQ2HnPbbGj5tze89l/+fAkMEEpNQG4G6nk+Sswr49j1gIjlFJDEGJyJXBVtzElwKnA80qp0QhBqTnCcw/jS4ojISR1OByYpklkZCS1tbW8+eabQdGN6upqfvjDHzJ//nyWLFnCOeec0+McI0aM8EVJEhISGDFiBBkZGWRkZJCenk5OjjQovf7667nxxhuDCEggiouLefLJJ3tsd7vdx1yLcmITFG2iP/w1pAxH+cLvWizh3Q7UzG9IxU3dbtj8b3RErFjQV3wmVSOzv42yRaFsUdIN2RqBGjoX5Vl0tOlC7/iviDNbq0TDUr5OXGQnXCHi2c6AL4Ruh1TLdLWAIwGjcI6cx+2UeSmLOJe210mFUPVWv3Gao01+vGZw2i3RmkAEdje2xwSTjbZKQEnJc1SKOK1C6CqagOeH7pYOsscFEJLAiHkfNvl1u2D5Lv/7uByIzxTCtf1NMF3opCEiFG6thKqtQkr2r4CGfdL/KDEXnTbKEz2KRSmF3vmO7x6MvKmQJ52qtTblPuOypBy5ejvmtjfFAM8WBXGZ6JZKdO1OiS5N+RoqZajvWL3rPVRMKipnsv9RdDaJeHXHYum5M+ErqOShwd4qgPaIp1XyEBFG20NXM+n2OrBGigbqywuX1lorpS4Efq+1/pNS6sa+DtBau5RS3wKWICXEf/aIa38GrNNav46QnWeUUnciv5TXad097BdGGIeHUEJSrTWtra0+klFdXc2wYcMoLi6murqa2267LYiANDY28sQTT3Drrbdy8OBBrr9eMptRUVE+ktHVJXq+4uJifvvb3/qIh/dfrz5k3rx5zJvXO6ePjOxfbL9y5UocjuCqT4fDwYoVKw7rGR0pnNgEBSWRhAAdgFIGzLlDFpzP/gGtNVI1E5koURGQqo7GUlTBLGkgWLMDvfFFMKxoayRq/j0ybtubUpljiYBpN4lvSdkacLSJriUhD12/Xypt0kZJ5UlbrU8bYm54AZWQC4Vz8KU4sibCnveld86o8yFtBKpqCzoyAXa+E1rn4emQqxtL/A60TaVS6htUTaOlyWGVt+BByQLa1QZWe4AepBeyoazBviqpo6DpgOhA8qZJSqi5IvSxgWgpl5/xV/i31WyTZ+nokNduJ8a064W87f8YXbJKPqeG/UL60oqgcDaUrIX4LMyuVjFpyxqPyp0qURvvXZetk+cWlYQqnINe84xEtJKGyO+GLUrGNZZKhVZrFTouI5igrPojuF2oUedBcqH8HnUjJwBG0Vno4adC80H02j+Jv86YC4LGaGc7evnvIS5TGhd+edGilPoBUl58spIwZ7+dKD2eJou7bftxwOutwOwjPNcwvqTQWvPBBx9QXV3Nzp07fULSZ555hvvuu4+4uDjS0tLo6Aj2nPrhD39IcXExNpuNzZs3k5GRwfjx430EY/r06QCMGjWK3bt3k5GRQUxMDN0L2XJzc7n99i824rpxo78v2mDS15zYBEUpjJO+iXa0yTfo6m2omd+UBam1GhrLIHuCEBFvGqBmpyz4I8/wRUqIy5QF0dRSfYPnm3JLlUQg3F1S5hoRK7qCKDlO5U+HmBT0+r/IN/+oZH9EJakADqxAm26MYQvQaUVi/GZYZL+7C9qqoH43uqkMnJ2oSV8VwrNvGaDEFbexRBZjZUg6yVsiHZsJOZPFwr+zwZ/OCYyqoCU94tjv8VCxyL02d0vpp46WqElkvER1AOzxULvdP8Ye66nECflByLW6O8uWrBHiZo9B5c1AG1ZJgykLxKRjfvJ3SUXZYuTcU6+HT19C73oPY8JX5DMwHWLStvkV8TWJShKCAiKkbT4oz6G1CnYuQXu7S0clowpm+rQeumandLhurYQhJ4vhXiByJoHpls+0HyiLDR2TKpGW1JE9B1gipEon9gh0lu4G87N/QlM5atatPczpBiG+gqRnbtBaV3oM1n59jOcUxgmMrq4uampqqKqqwjAMJk2aBMBPfvITdu/eHSQkPf3003nhhRdQSnHRRRfR0hKcyjZNkwceeIDf//73fPvb3yY1NTUoylFQIGnkpKQktm3b1uuc7HY7w4aF+1yFwolNUADtaEN/9JgIUD0ifr3jbShdC5OvljC9lxQAevd7on3I8y9EKjIBCueg1/4Z4tIxt70FpashawJq8tXSgHD7YhHVjjwbMsb4J5CYB0PmSoRjZIJEOA5+JiRgzh0om4Tf1IQrxA5/9dOiW5h2o3iorHtOUjtao/csg+ZSSSlZoySacdK3YMd/RYzpdvjFpcMXwKZXhOiMPFv8Vxytss8aLc/C3SmLu3b7S4SDyImHWNR6/nO1BGiqgyIzCvJniL6jzZPq9+pwYtKklDqxUHoalaz22OIraNyPGn4Kauh8OSYhz+Mx5xbBa+oI0do4OkSYGxkvBE5rMUNrKpfzRCZImm7MhahsvweJ3vM/aCwVMtjZJFGy+r2QPxNVdJZPlxT0uc+4BSOhm8gXMEacHuK3y+NU3Fgi4tkAgbKyx/TqeaIMC2rcxSH3fW5o7UnNfTGnP5LwkJJ/A96unbXAq8dwSmEcpygtLaW0tDRIwxEdHc13v/tdAC688EKWLVtGY2Oj75i5c+fy4YcfAvDmm29SV1dHRkYGhYWFTJ8+nVmz/FV/77zzDl1dXZx11ll0dkqk2e1289xzz3Hffffx8MMPH72b/RLhxCcozQflD3ZsBrTXoas2i99IQo5ETRyt6OptYjVvuuUnYyw42tB1u1E5k6X5W0S8RCpi06WMGCUCzPY60bTEZkqKY/sbKFebdD/GI4gcITYMevf7sPdD/+Q2/A2dXIgedgqUrZcSY+3p9luzXXQZ8dkSJbFGQeN+qYiJy4KKT+QcDfuhPrgyBYCd78rC3VYDO9+GiACxpkIiJhHx0OUhLUGC2V5SPIFVmpnjpROzdkn0ZtlvJAXjO4UFcEkvncg4mXtngzyvyEQ5V9oodEOJpDumXIMRl4Ge8BX49B+QPARj8tWYK58U4pBUKHqgk++UqdTskHMVzEYVzpKUWGZxENlUYy5E71kq0ZO86WL21tUC9mjUqGDRmRp3CXQ0SsrtEKArNgnJG35qSEHs0YYx4Yr+Bw0SKKVuRjxIkoFhiMfJU4jANYzjFJ9XROp2u6mrq6Ouro7RoyXC+cYbb7By5Uof+aiursZqtbJ8ubT/+PrXv87bb78ddJ7Jkyf7CMq0adPIz88PGeEAWLduXZ9zmjlzJrfeeitmN7uEwSAkPVJ48cUXuffeeykpKSE/P58HH3yQhQsXHtM5nfAEBUeHfJM3LJLe8FTaqOk3id/Ftjdl4ardJSLKziaIy5CISOMBdP1eMTwbc6E4tW55TUphsyehEnLQSx+Wxb5glkQ6YjMlbRECKn00urUGaraL3qW9TlIKZeuFIJSsEPJkuvwVQXnThKS0eVIz1giJylR8AunjICpeokP2WEkzedMobofMBy3amI6A8KTbKWkub/WPNxqTkO9p1KchOlW8TdrrRRhbtdlPYiKT4GBAgz8vqYpK9qeQ3F0y14xxqNg06VsTmyYalYRcEfiWrfE+GVj2KHrkGX5NT+Y42TP5GnB1omKCq0RVWhHMuAViM8SKPntiz+cdmy7ksrMRNWSuOMdaIlDW4NSH1x5DpYf+3PqCmvAV8W75gsiJbq9D71+OGnJySE+V4xy3Ic6wqwG01ruUUkc+7xXGUUUoEanD4ejhw1FdXc3dd9+N1Wrl8ccf59lnn6W6upqamhpM08RiseBwODAMgzfeeIPnnnuO9PR0H8HIy/NXm//oRz/ijjvu8O1LS0vDZrMF7f+8GKxC0iOBF198kVtuuYX2domMHzhwgFtuuQXgmJKUQUNQBtAA7BvIHzQ30Arc0q3/RujzurskFhCdLJUtjjb5xu/5pqwKZonHSOlq+aY+926JKtTtRmWOQzvbRVtStUX0FxY7VG+Dqi3o6Tf6haWuLvHNyJmCCrA+D5pLfDYUnYmu3irpluLLYcd//eeISoYogpvstTdImsPrX9LVIrb6IJU4W/Z7mg1OhtJGiEkVjUVg6bEtJrgrsOmU6I/FBrU7hJxYI4WcWKPlWsPmS6SjdifGiNMw7dHSSXnE6bD5X/5zJeZBUwWMOQciU2D9c56btcCIMzHypkpZ7o4lkFmM4WnUaJaskuiOYYMhc4Sk2aIlCuF2wtbX0RHxqLSRPit5fWCVOL+Ovxw2vCDVMjO/4fMT0dXbIT7LX2XlbBfiGZcpjsCR8UHOL7p2F3rfMnkW+z+GcZegQhCdvqDs0b1W6hwRVG0Tj5eYdLHuP7HQpbV2eEWBSikrx0VyKoze8NFHH/lEpE899RQ333wzEydO5JFHHuHee+/tMf7aa68lKyuL2NhYhgwZwsyZM30kIyMjA9M0MQyDxx9/nKeeegrDCG3dFZiO+aIwWIWkRwL33nuvj5x40d7ezr333hsmKANsALZIa/2UZ/wFwKPAWf2ePCEXkoeissZLeenmVyBrok9/oKKTUaPPxazdBV2tKMMiY5rL0RljxR102ALM9x6Q87kdordwtGPEZmBOWijak/L1MPe7qIhYzPp98Ok/UCPP8BikIY3lulpg6nWSbnG0gDUCY/730OUb0QdWQmaxlLGC9M5pLhPNhDYlqmCxC7GxRkiUxdku5MSwiV9L8WWizeiog7q9QgC8JdAAGEI89n4IDXuDjdMSC0X0mpiLGnuR+MCs/ANoF2ZbjZAygL1LAz44CyQPQ028CmWPwSxdK9vtcTDlWtj4IubeD6RaJ20kKnW4NEssWSkpsF3vSdrH2YUxT0KxKmeSEIe9y9BbX0PnTEYVzBb7d9PtKdFuE/2J9ry3x2Duek/Ew0mFqGk3yDwsEZAxFhWXgd7zgTR+zJkEZetlTFOZ+JmkFkHy0KDKn0GD/Bmo6GRICyG2PQyYa/8MgOF9RscWHyqlfghEKaVOB24F3ujnmDAGIdauXcs3vvENNmzwR1a11jzyyCP87W9/45xzziEtLa1HqWxMjPwNuuGGG7jhht5/JwdSKhvG4aG9vZ0DB0J3ni8pKTnKswnGoCAoDKABmNY6sENdDAP8pqXisyS0X7pWFuf8mb4qj6BxM78OpgtlsaMLZsHW13yOqaZp+vUXyvCUH8t/LCOtSFIELZUQEScphY1/lyiE24le6clNRsZLqsJilyjKpn+hvKLdlGGw5VXxBLHHC3nJHi8ERZv4hKBdLaI/GXU2KjpZIj9N5fDJItj9rv+BjDwbshMk0pI8VAiB3IlEKry+J842/wPwVuTU7pSS2q4A/5bqbRJN6WqWNJLvoRmwdyna7UKbDr+exWoXcuOdUdlajEnCwnV7vXjHJOTC6HM9hMzE/OxlyJwAlZtQORNhzAWw+ilwdqC3vyX3njpCxK2RCZhz7pDyZlcX2tXlKxEnLhOttTjDGhbU+MvEnO+zfwqZc3V50mhuGDoPlTleuhmnDJUI2yCDstiCRdefF67Onk7Axw7fR1xfNwFfR0qHnz2mMwpjQGhoaOCVV15hyJAhnHLKKWRmZuJ2u7FarbhcYhapteaVV16hsrKSiRMnMnHixGM76TCCUFdXxxNPPMHjjz/e65j8/PyjOKOeGCwEZSANwFBK3QbcBdiBU0KdKLD5l/fh6v0fQ2u12Jd3E0f6jrNFoV2dmGueQaWMgFN+6IuyGIaBeep9opsoXy/f7gvnCDFIHwW1u6QxnVKYWkFSHkQkoPJniDeJ1hgTrvAtnGSOk0XH7RTiVLNDJmGLAoeHhzVX+CcXm46acTN60yuSZtr8Kurk74iU1bCgu3M1b8VOfLZY4WOIRsXRLMQjeZj0AbLHiHg1EIZVxthiPLqWGtDK0z3ZA0uklPfmTITa3XDgY9luj5E+NeUb0CWrxV8lKhECSnZVdLKkaGLS0JZI0biUrJKdrbXQWimEz+WQVE9MquhxkocG9boxohLRbTXoDS+I/qSlClJGyLkS8sS51gNd8ZloaGKzMEadgw6s4IlJEdK06o+QMhQ15Wshfz9OFKiZ3zzWU/DB0xvnGc9PGIMcHR0dvPnmmyxatIjFixfjcDi4+eabOeWUU8jLy2PWrFk9ymlPJBHpiYKSkhIeffRRnnnmGdrb2zn//POZNGkSjzzySFCaJzo6mgcffPAYznTwEJQBQWv9BPCEUuoqpG9Hj9UkqPnX5EnabKsVTUZMKioqse8LuBzQXImOiMdQwblOwzDQRWehHW0SkYhOkdRJVCI0V6DtMbKgLn8cYtMxxoo5V6B9fpABT2ezpJIa9ksaKHuipD22/EciExGeb/PWKLlOxSYonCXRDIvNT3biMiU1VLkVcItAVxlCZAJ9SZyt/tf1e2DGN8Q63ovsyRKlGDIH9i6TyExbFSEx+hypLEotEuM5a4THlt6KYVilYiYuSwzRWtrFXTe50P8cMoU8aFeXpImUIRGNOE86qqlMCJE9TkqX7TEw9sKe84jLkntPyIODnwrpyxgnuphAJOR4HHNdns+hWx47Mh5yJon76xGAdrSBUijbF6hNOUx0N4E6llBKzUY6Dxcgf4sUoLXWQ4/lvMLww/d3BjjllFNYtWoVWVlZ3HbbbVx11VVMmTLFN/ZEFpGeCNiyZQu/+tWvWLRoEQBXXXUV3/ve9xg3TmQII0eODFfx9IKBNAALxEtIH4++0VoFO9+RqElMmm+z7mqF5oMiwAyAioxHn/wd2PaWaEIyxqBbq1GmC5KHoKyRMPJ0cRDNnghZ4zz+IQ7Rh6BlsfVIMc1tb4Jhwyg6M+g6uqkcvelfUsWTPNSTtoiXnR5tgNYavNoLVwc6ZRhGVCLmmAtg62uSOpp+MyoiFjX+cswxXfDZv6VCKG+mzMFil2qamAyJqASmdNprpRGhNUnm0VQq2xwtQjYCEZct6R1Hq6RmaneKYLZsvdxzbLpEXDLH+59lYh567t1QvrHX6hjDGoFe8H9oFMp0y3yKzpZno01pHVC6WsqhHW2YW15DjTgdlSA9Jnz3vvMdmUfOFIzU4T2vE5OKXvB9z2fTE8qwosZeFHLfoUJrLd2NrRG+kugwesWfgDuB9Yj4PYxBAK01a9asYdGiRfz3v//lk08+ISoqih/96EdERkYyf/58LBZLj+NOZBHp8Yzly5fz8MMP88YbbxAdHc23vvUt7rzzzh7pm4ULF7Jw4cJB9dkNFoLSbwMwpdQIrbW3ocu5wC76gzUSlTIUlS/VD6arE0xTKmcqP4NpN6CSCn3DtatL8vM1O9CuTqkAqdstCZTC2aiRZ6Ji0mDYAnRXq1iZZxZjDJdsk3Z2iCeKYRWCUblJSELRmZj1+yUllD8dZY8VUmCNguLLelT96LJ16L0fwqSFEhGIThZysv1tOPiJNO9rrZGIhzUCc93z0Nki6RhlAasdNeMW9N5lYhvfViUkYuSZQlLsMRhZ4yFrPOay38hFk4eKqFZDDx+UloMixFUWiaw0ebij1xumxqNfadwvC/TaP4E9FmPilaL7Cbw3j9eMr9S3vR7VcACdPBRWPYkaOg9jyrUytn4vuqUSNeZ8aCyVku+mMomIeM+ntWhqopKhfg86Md93bu1ygGERLUq3hoDa1SmE83PC3P421O1BzbhJGkoqhU4f5SGsYfSDJq312/0PC0Z/FX+eMVcg0RkNfKq17t5QMIxuKCsr4+mnn2bRokXs2bOHiIgIzjvvPOrr68nJyeHcc8891lMMY4AwTZO33nqLhx9+mOXLl5OSksJPf/pTbrvtNlJSUo719AaMQUFQBtgA7FtKqdOQfrgNhEjv9EB0so+caLcTlv5KUgnFl4I9SlIE3jl0NMo334yxqNm3ix6ksQQdlQTaRGVNQHc0AkiqyHT5K0q8sEaihs1HWyMlfTP2Yr/x16cviUCxsQymfE10J80VULsTs6lcoiieclnpWNwq+/d/LI6quVM93Zc7wB6Lmv5NVLTnF63hgF/Ea42EfcvQjaViHpY1XtxhS9fCwQ09qjfU0HngaEcNnYvZWgkNpcjfdAtBX2pNp8eCPhXaanBjo2L7VnIKGyUEPGSumN6ZTtG3dDSK9gfA7UQNWyDPeeOLHhfdO1G2SDGvq90FYy+GrlZ0c6U0crTYxeV3uifaH5suxCQ2w/+ZNZWhK7fCAY8IeL+n43PWeOl389H/g6QC1KTgMKW5+39S8TPtRlT3dNChwtEqUSfT/6wMTzRGNx+E6NQevivdcTh97AZTquZz4AOl1K+BV4Au70at9YbeDhhIxZ9SagTwA2C21roh7K3SO8rKynC5XBQWFlJRUcGDDz7IKaecwo9+9CMuvvhiEhKOvflgGAOH0+nk73//O7/61a/YsmULBQUFPP7449xwww2+iqnjCYOCoMCAGoDd0eOggZ67ejs6Ml78NFxdImjNGh88yGIXnUpMMipaDLF0ZDw0l6OGn4qKy8T84JdSxTP//4SkLPh+sL25UjBsAVRuQVe8DS1VqFm3ys6kQkk5TbxKxk2+FrQpC3bdbvG48KSh1NC5ojfxdhpOyJPoTlKBaD7yT/KTExB9R1O5aDgcHZA7BQ6sgLXPSlpjzp2SwvGcX9fvk/tIKgiuaIrLBrdLohFpReJ3YomCpHzxS8kcgxp3KdrtYsUvbuKDRX/nomvOZ/zsGeLk2lyOKjyZPW2p2EuWketsF8Lk6oKh8+W+o5KhqRR9YIXY3I84A51YIGZ5KUOhbA0ajRpzPtrZgf7k76i0IlThbF+/JMDfwDFluJRtuzrBdKJTiyTBpqxCpqKDDd5ACKaOTvZX/nwOqOLLhMAawSFv3bBfWiPkTEGF0M983ua6gccfx2TFK4QPLKvT9CKA96Dfij/gZuAJrXUDgNa6+ojN+ARAfX09//73v1m0aBEffvghN954I8888wxTp07l4MGDZGRk9H+SMAYV2traePbZZ/nNb35DaWkpxcXF/O1vf+OKK64IMqw73jBoCMoXBd3ZhP5kEcRlSTQlMiGoxb2vgiNvGsZJ3SocOhpEaNpaLVGMnCnBOoaaHejOJlRBsEmQTivyVLoEfKueeGXQGKWUEJBxl6DbakTLErjfmyZKGS4L6r6P/OXCzmBDHTX8NOnhY7qhrRpi5kiEByB1pIhhE3KgowHz3Z/4yky1PQY1aaFP00H6aIlupI3EyB6PWbZWTOPiM4WgeC3q93/E0FMu5WB5A7knXwydu4TYWKNxbXmTF+++mZjYGO565D4YdY448bq6wBaJGjYPfXCjdPut2yvnbz4o142Mh/Qx4hIL4OyU1E5ELD2W4LhMacaXNwMiE9CrnpKqo9V/RM+6DeVJc4WCypkc1Kl4IDBXPwOmq8fviO9z7I6YNEgfA2lFh0xGQo4/sBxi0vzPpp/xxwNp0VovOIzDBlLxNxJAKbUcCQX+RGv931AnC6z6y8jIYOnSpYcxpUNHa2vrUbtWIB555BGWLFmCy+UiLy+Pr33ta8ybNy9oLn01thsojtX9HS0MlvtramrilVde4T//+Q/Nzc2MHz+eW2+9lRkzZqCU8rUCOBQMlnuDLwFBUZEJMPIMdGQS+rOXJe2TMTZwhCy6VVvQOVN80RMQa3rm3u1zJjVGnhF0br3rPSmTzZ7sa/qnu1pQbXUw9060qwtdtweV0kenSns0rH0N3d4As7/ts3TXri7x/zj4iWhRsiZAR5OYsB1Yjo5MEN+VAyskHTXrVqn0iU7DyJ4oepvtbwtRUYb8eFNBnh5EdLWid72LmnodumSV316/s0m6PI84DV22TozdcqZAaw16/d+gYS85KcO48td/RMVnY372L6jbBc52LK5WzvnqBUTGxMCEr8DBjWKLnzYSMsagIuJg7l1gsUsEpH4vFF8mC3rhHIwAV1YVnSTOvraeWhEVmYCOTJQmf7EZ0srAYoMvamFWqleRbSB8ZMEWLTb4fY0ZKLzuwbGZ6BDdkUORkeMhwqKUygB+AWRrrc9WSo0BTtJa/6mfQ/uDFWlAOB8R3C9TShVrrRu7Dwyq+ps6VR8tceDRECK6XC7ef/99Fi9ezGOPPYZhGCxbtoyioiKuuuoqJk+e/IX9bgwmoeUXgWN9fwcOHOA3v/kNzz77LB0dHVx44YX83//9HyeddNLnPvexvrdAnPAEBUAVzhHZp+2aYPdUZBHUBTNlEW6pgACCopsroKkMnTu1x39krU0YdynK1ekjJwB6y2tQuxN10m1wYIVEC6ZeJ74f655HZU9EDTnZP97ZKcJaizXIMl3v+Z+QE3uMGJvFpErXX2WgW/8m+xPzJXUDkDxE3GzdTrR5ASp7sly7qRyKL8VIGykOt+ue8zTfGyY6l/p9mCWrRXgblyVpkYLZcs74bNTQ+Whvg7/y9ZIKM6zQUole9RR6ytcwxl+Gbq5Ab30dsicx5ewYqN8HG/8mzyExT1JGnuemmw+K++7Q+ai86aiMMaKVCfXZRcSi63Zjbn0DNfYiXymw1lqIj8sBHQ0YC74/4N+Hw4Ex/aZ+x/RFPAZCSnodY49FTbyq12aE3uN6W2wCS0UHGZ4HngO8Hug7gX8g1T29YSAVf2XAaq21E9inlNqJEJa1R2DOgxpaa1avXs2LL77Iyy+/THV1NYmJidx+++0MGzaMH//4x/2fJIxBi02bNvHwww/z0ksvYRgGV199Nd/73vd8TRVPNHwpCIoXKqVnCSogC3/6aFR8tvRvcXaKU+vOJVC/V4SUAfoHQPQFHY1w8neCz5U7FR2ViI6IE82IMmThd7aLcLSj0Zeu0K4uWPE7KQOevDDIN0NlFqNL14kI19klnZidHRjTbxLhbmOJfLMumIPKHi/zcTtg9u2ihzAsUqa86V+w8W/ocZdIZMUeK9ETPKLahDzY/pZoZOKzUEPnS0qpdhd6w9/E1j8+G1VwEqSNRFvs0g5g13tSCeXpYKzis1Azv+7pPuwxmUsfKwQjY5ykyeKz0BsXifeL2yHVNb24pOquVnH2jUoUw7eOhmBBcv1e8XzJnoyKSe7voz/i6I1MDHT7Iad9olJEz2OaPciG931fUZP+SMwxQqrW+mWl1A/AJ5bvr9y434o/4D/AV4HnlFKpSMpn7xGd+SCDy+XCarXyzjvvcNZZZxEREcH555/PwoULOfvss4mIiOj/JGEMSmit+eijj3j44YdZvHgxsbGx3HHHHdx5553k5h5a9/XjDV8qgtIblGHx9WHRGxdJ1GHed6WXTmNZUOWID17Tt+5h/85mEbJuf0ts22d8XVxqG0vF0Ky9Aa1NMQtThkQkWitQBz9BZ0+ExlIxHItKEnIQmwGpw2Dtc2J+dmCFkI8hc2D/SnC2o4rOkMok0y1Orb45JolI1NWBtkZJissaKRbxHfWSGtJu8S9pLoeG/aJLGXG6jIuM95QVl0LWBFRino9cqfGXocecH1S+q7UppdMRCZA9EeUpMdZ7PpCqmYlflefmSIVJ16AieleV67V/Fu+VBd9HZU+A9FHB1ypfL14suVNFp5JkSProKCAUueiPgAyUoIQkEo52jFV/gPhszMnXBY1XSoUkJr1FTQZZNKVNKZWCt7hdqZlAU18HDLDibwlwhlLK417I97TWdb2f9fhEaWkpL730Ei+++CIXXHABP/vZz1iwYAF/+ctfuOiii4iPjz/WUwzjc8A0Td544w0eeughVq1aRVpaGj//+c+59dZbSUo64Tqbh0SYoHSDyhiDjkqUkuH4mF4byBnFl4XcrhsPSIRg5JmSbmkuF8LSUS+Ri6YDIma1GFJWPPka9PbFkFwoEZvKTSKYjcuExgOo8VeA6Ua310N0MrqzCRpKoOgcSC3yRV1CiSdprRbztZFnixi1dhdgCCnpbIKMsVC1Vap/3B5RbaT84qvEPNTcu8XvpXq76EWGzfeVbQM9vEUw3eKZEpWIMeJU/7jkoeiWCojNxEgfYCgycxw4Wn1VUt2vpYrOkQ7OplOIV9ZEVPElvZ7O3P0+lG9ATb+5f0dhD7SrE71/OSprAiomFbNik0R+uglsAwnCQF6Het/j2oH7LXZ0+mh0bFbQvkByEoqYDNKoSSDuAl4HhnkErWnA5X0fMqCKP+05911HdLaDBM8//zzPP/88y5YtQ2vNjBkzKCqS//92u51rr732GM8wjM8Dh8PBokWL+NWvfsW2bdsoLCzkiSee4PrrrycqKupYT++oIkxQPNCNpSKgLZjVs2Kk+9iG/egDq1CjzvYJaL1QYy+CkWfI9oKTMN//uSwap94LaaNQEXEoi03M2JrKUaPP8xmTgUIbNiEpcZlSeZMyDGWLgpPv9IhFlXQsXvMMRCVJk8NeoHKnoJ1tUL1FUkIFJ4lfydY3xAq/bo/oXnJniAA3ZzJGnr/iU1duFq1LUqGkcryVQd2fhzahfh/aGglTrgtKueiG/RCfjTH5mn6eajC85ne93ltELEQMFzO2wjndhM8hYLo86ahDSK3U7oa9H4oB36hzRUTs6kBnTfBFzkKRkO7/el/3RVj6g1kkrROUKak5LznpK2LS275BRFy2APOAIsQdcAfQvxL5S4b29naWLVvGWWdJ8/Y33niDyspKfvrTn3LVVVcxbFgfIvwwjhu0tLTwzDPP8Nhjj1FWVsaECRNYtGgRl19+OVbrl3Op/lLetW6vExFnzmSUMtAtldI3Jn00auJX+z++Zqcs8NkTeggXlcWGNuL8HXUnLQS0mK9t+Y+IQQtnow9+KqmTYQsklYInapGYB+Mu8l+rq1Ua72VPkp4/W1+DorPFct4j6DVrdqCUBZU6HG26gz056vZI2mjEaajcqShbNGbdbllgYzOkz81nfxc9jfKU0yYPwRhxGvrgZxL9cbSjTv1R7yLM0nXSiRkgJh01+1syr4pNsOmfkD0JNe7iAX02hwpltUsqrvuc6veht76BGnM+KnkIxsgzJao1QGitpVx8zIVSYg4w4QqJNCljQMREmyaqYiNmYgE6MqnX8V7Ytr+GwsQxyv+supOM7v/2eB7dxnTf1v0ejzFJWam1nowQFQCUUhuAQ6sBPwHhcrl47733WLRoEa+++iqtra3s2rWL4cOH85e//IWYmJhj/dmFcYRQXV3N7373O37/+9/T2NjI/PnzefbZZznjjDO+9J/xl5Og7HofqjaLXiN5qJiH5UxGpY6UP+ptNajY3s0n1bAFoolI7NmKWpsu9MePgzUSHZ+JGn0eymJHt9VBWw26rVYiNBMuhz1LhTxk9v7tX5esgn3LJNVhsUNbLaqrBTX5asCTutj7oUReZt2GXvkHdPoYsbsfMldSRF0tQSZnFF8Gn/4DlTpMqnRKVqGbymHIybD6GakcqtsNtR4Le2cHevXTIaM12tkBe96Xxn6uTkCjW2sgOlm8U0C0MEcbnc2S3upsDp5vYwm6crOY73VPUdFNaGpYJY3k3Z5Y4HvdG0EJIh8NB7Dteht36iicoy7qM8ICYLRVgTYxu0VJvK/7Qm9Epvu9DYY/eEqpTMTPJEopNQl8Qct4YPB1WDzKWLFiBRdddBE1NTUkJiZy5ZVXsnDhQoYMkQq22NjYfs4QxvGAffv28cgjj/DnP/+Zrq4uLr74Yv7v//6P6dOnH+upDRp8KQmKGjpXGv55FhxltfuaxemSNejtb8KYC1G5U0Ifb7FJiW/ovZI2aauB1kq0xQ6jzkXFpMC8e8Bre95QAmXr0M0HUX0QFJU3Tcp6M8ZIqidlGCrQK8QaibZFSSTGsIg7amcTNOwTc7rcKUI4tEZvfhUi41HZE6T7sjUKc9e70NWKGn0+1O5Cn/wd6VHTXC7GZxljpGLG3ougVRkyLqlA+uRYo9ArfgdD54nxmzUSVTi7z8/jSEA7OyQqlj4KpQwR1qaN6NFRWJetk/LttCLw+NP00Ie0VovIeeh8SW8RgnwEbPO972xGtVbhThJ7fjM6A/Ln4kooxO109qtPcY0V0onL23VZ+f7t/tr73jCMIELSGznpK91zDEjLmcB1SInwowHbm4EfHu3JHG1UVFRwxx13sGTJEjIzM9myZQuLFi2iuLiYK6+8klGjRnHKKafw1a9+1VeRE8aJg08//ZSHH36Yl19+GcMwuPbaa/ne977n0xGF4ceXk6DEZfYsG67Z6enWm+0ruT2scxsW1MxviLfI7v+JhXv6aI+WxGPm1tEAn70Msemo4r41gSoyIajhXiA5ASBvGipvupAYVyfG3LukfLl2N6QH/MKbLqjeJk66I05DzfuuzGX542LYFpkAe5cKUcmZDLHpGPPv6f+Gm8shZyocXA8JeaghJ6O3voZKLEB/+g+Z8+jzfMO1sxO95mnp4jziNCFYez9El61HTb+xh6ZnoNB7l8KBlRIxypT24d3JCSCGc9U70K01vRvotVSJ0LmpTGz4CZ3G8f24ndg++Qs4OzAcLXSOvwZ3TCZaGXRlTZMxptmrNsUPD/EIiKB4/w0kJUH33Y1cHQ9eKFrrvwB/UUpdqrX+97Gez9HGAw88wKZNm7j44ovp6Ojg008/xTAM7rrrLq688kqSk5N56aWXjvU0wziC0Frz4Ycf8tBDD7FkyRLi4uK46667+M53vkN2duhCjDC+JARFt9ehd/9PUh5xoftM6O1vQUcD6pR7ezTUOxwY+TPQ8Vnoys2iFwm8Vp3HkiF5uERWDhNaa2lwaImAxFwo3yAN8JIKeqSNlMUGs78thnCB26fdJFU9ri7xgEkrEu+U2l3iqRLZd6mi3rFEfE/sMeBoQ0Uno6ZeLztHnBbiALfocWp2oA9+AnPukOiHs71XEW7I67bVinOs6QYUKmsi2jTFsM47pqUK7DFB3aKVxS4NDV2dmI1lEJMS1NVYay0EJzYd7WiXJpOetgNBBKOlEtMeJ40h3W5wtqPtsThSinBGJKPd7mAS0+343kSy/UVNuv+Ypolh+HWloQhLf/qVY0heliul/sSRd5IdtKioqOC5555Da82qVauYPHkyjz/+OFdccUW4B84JCNM0ee2113jooYdYs2YNGRkZ/OIXv+Cb3/wmiYmJx3p6gx5fCoJC/T5/ZUwvBEWNu0QW2BC6hMOFSswP0qnomp1izZ47TZxhM/ovudUVn0J8js8CP+j8SqHjMqU6pXyDeJf0loqBkGTDF5GJiPNHOmLTpYdRxafo6u2oSVcF9S8KOn7MBWL3nzkWDqzEXPOM9PexRaPyu7dIQc4z/x70nqXSJNFiwyg6Cz3i9B4N93qDNl3olU8KQXF2gC0SY8EPUPH+dvC6qwW96klIyEV5XGC11vI7sOCH4qa75mnpfDzWX57sIxGt1Rib/4UumIM5ZH4wyWivw77hT5hJQ+kcdSmmVjgn3ITWYGqNdmu0dmJ6oiYDJSgDJSXetI73tReGYWCGMHILPP8gIynPcehOssc1HnjgAZ/GyGazMXPmTL797W8f41mFcaTR1dXF3/72N37961+zY8cOhg0bxlNPPcXXvvY1IiN7tu4IIzS+HCV9OZNRU66TMtteoJIKenU1PWJoq4GWSlREHMbs2yXS4YF2dmDu+K986/duaypHb/o3esfbQafR9fsw3/0punwDxqSFvrSGKr4sJJE5VKhhCzBm3CIVPM0HpWmf99raFE8W79iEHFRWsa8aiqbg8SHPrwyM4adgzLjFF70YKDmRsVbImwYxHo+v9BCfmy1aqoeyJ3rmHSh+tUB0CmQWi8X/ez+F/SuCIySxmWiLDer29CAZpi0WV9pYnCmjME0RtZoecmKaJm6327+9209f+/r6CRWNGUiEpq9y5kMtdQaJXJnb3xan38+PVK31y3hsjbXWLsRY7YSEN3ricDgAcDqdPPfcc1RWVh7jmYVxpNDc3MwjjzzC0KFDuemmm4iJieEf//gHO3bs4Otf/3qYnBwivhQRFKUMSBl6zK5v7noXXA6M0edKmbHbiW4sCa4CqtsjvXu0iRp1jmyLy0QNPw2SC4NPqAyJHngWdWWPFpLyOaGbD6J3vYcaeQYqLlOiIyPPCO7+vGcp7F0Kk69BectvvUgqlIhGH1GcXq9duQVd8Slq7IUoe4xoVba8ikof7SMZgTCKzkJrU0qgI3pWNSjDghp7Yc+KG0e76GZShsO4S2HfR4BGV29B58/0L+wR8Vgik8Ae6yMI3m++JgbOIWd69Cdu3AHpnMDXZoDuxPs6rnErEZ011KTPpnsX5O4RlMBISaAItvtY7/vAe/2ioiS64lPpqh2bDr2IyA8Bh+wkezwjMHrihdvt5oEHHuCJJ544RrMK40igqqqK3/72t/zhD3+gqamJU089lb/85S+ceuqpg0b7dTziS0FQjiZ0c4WYouVN9/9iVnwmGo9R56Ai4jz9aiph3vf8i2v6aBHMBgg3lWGBoXN7XEMlFaBO+aEsSC4HylsZ9HnRWCJpl6YxQo4MSw+yoRJy0In5UkbcHbW75KerRWz9Q0BrUyz5Lbbg7XW7oGY7dMyVa3Y1Q/V2tLKEJCggxFPbItGmy+c4q003etsb0rk5f6YIiH3X1rBzCVR8gp50rehVCuego1PRMWkQFI0A9+QbZUHxRj8cHWCx+yIhXhISGOXoTlC8C5J3W1TLfqK6aqmIG4/bEtWDZPSWyrFYLL5tWmvfvsBjA19316Z4t/dVtjwQAqMKZkvn6SMTbQzlJBvaovkEwMqVK33REy8cDgcrVqw4RjMK41Dx4osvcu+991JSUkJ+fj533HEHO3fu9EXGLrvsMu655x6mTp3a/8nC6BcnNkExXZibX5EGeKEW1C8Aete7ULdbDNc8Nvlqxi2g/doAVThLSlkDy4UNCzox79CEojvehrJ1MPObqNi0zz/5vOkS1YnzWKo3lfuIiu6UL7YqrSikrb6u2iL3c9I3Q6aZdHOFeLp0NEJrFcz5TlAXaDXqHCiY5fOfUbHpMOtbPhM73V6P3rsUNeRkVIz/XvWKJ0Ap1Ozb5f36vwrR0iZsfwudVhRcGZQ9USqe4v228Tp1pP91L2kTa+lyostX0Vp0OWZ0RnDKJ4CgBKZjAgmK9/X+hBlsfuG3xA17j4K5fs0MiIYkkICEqvbxakz6SucEEo2+IiqHA2WL7LXz9KFCa71BKRXkJKulA3Hfc1DqLOC3SC+eZ7XWD/Uy7lLgX8A0rfW6IzLpz4GNGzf6Xg+mlvZhDAwvvvgit9xyC+3t7QAcOHCAu+66C4vFwo033sh3v/tdRowY0c9ZwjgUnNgExdkpnhfxuZB/dMxvpMHgaN8iD/RoYqeyJvSw09falMXWFoWaO7AWIioqUTobH6EIilKGv2lixWdSzVMwCxJyJSqhLKj592Bufxu6mlHjr/AvhLveg/Y6EQB7YG75D2iNMe5idPVWOLgRkodJ9KWb5kRZ7JI2CNwWSLpqd8lnGZsu3+C9iE4JdnaNThaSN2yBRHIi4oMX8MQCSCyQ1yGISCiCobUGawymPR4XVlwuV1AExasr8UZQvKTEHaKSp7Ohie2L/0nSsC1kn+R3ivRGPbwRk6Z9O3C2N5M1cZYvEhIYVfG+7/46kMB0Jyqh0j3HQhyrlOqtadJIz5xe6eNYC/AEcDpQBqxVSr2utd7abVwccAew+ghNO4wvOe69914fOQlEZmYmf/zjH4/BjE58nNgEJSIGNenqoLTJF43uHivaJYLRwFLWkMcpA50zqffUiNspjeoCUi6qYBaqYNaA56adnej9H6GyJwZFIUIiPgdSR0LzQemgnDHO38G5YR90NKE/exndXIGadau4xbY3iJmcF3V7wNWF+b9tMGkhKiEPUocLETpU5E5FRSX5tES+yMCkhfK+qwVs0aKbCdjvu/cQUYbupMT72jRNVHMZlsb9ODKmgjJwJBbREjdcSIjT6SMfbo8GpTtB6R5N8f4YMfGcdN+TRCam4nRKsCDQdM1LRlY8cjdtNRVc9JePsMfE+qIqgSmj3qp+AsmHF729P0b58fP72KeBXgkKMB3YrbXeC6CUegm4ENjabdwDwMPA9z7HPMMIA5Do14EDB0LuO3jw4FGezZcHJzZBQaHSRh7TGegVfwA0au7d/Y41vOLYUOfZ+KI4tZ58V0+ztoGidhfs+wjtdvqFuL1AxaSgJl8t1vC1u1BD5/k7C0+7UTosb3tDUika6WHk6kQ3V6K3/EfSaifdKs6tez9EWWxBVUuHCmVYoJfPUpetg21vQNYEGHfJIZGT7mkU709E+WqsjXvpis3HFZ0eMn3T/XV3PUpvZcYJQ0W/ERjt8EY/QMjD6Ctvw9FUhyUyKug8fc3f+757CmiwifS01td/jsNzgNKA92VAUD27UmoykKe1fkspFSYoYRw2tmzZwv3338+///3voC8IgcjP781VPIzPixOcoBwbBIo2SS6Ewyjn7IHEfFBKqncOFxljUObF/uZ3A0B3LxfA5xWjJnwlaLtGwycvgjbRCbkYyYWoISdLj58BQnc0QM1OyJ3if4b0UxLb7PkGY40Kqdvwvu6+wPdGNkzTpD13LipxBF0RKWhPSsftdrPvo7dZ/+dHmP2935A4pAiXy9WjjDjwXG63O+R8fM8ygDxYLBZfBCVj6nwsFgtutxvDMHA6nb79vaWFAiMqoe53IC6zR5PQeCp47gfmIJGTj4Gfaa3rPsc5DcQ+/7oBjr8FuAUgIyODpUuXHu6lDwmtra1H7VrHAsf7/ZWXl/P888/z/vvvExUVxXXXXUdKSgq///3v6erq8o2LiIjg6quvPq7vtTsG02cXJihHGLpuD3rDCzDqHFTedIxxvaXbDw3G8FM+9zmUYYGcSQMaq2t2oOv3iR29MbBfE2Wxowtng2miAuz5wWOutus9VPLQPqNaetf7UPkZKjIenTZqQNdl5Flizx+fI+cIQVK6L9ihSoCDUjS2ONzx0bhcLt92l8tFc0UZLRUltNXXEJM71Le9ux4F/BqU7tcPema9uMJaLBbf3AzD8LVbDyQQ3St9uv8ERlP6S+8cI5LyErAMuNTzfiFi1BbCgtiHciAv4H2uZ5sXccA4YKnnHjKB15VSF4QSymqtnwaeBpg6dao+WsLVE10ke7zeX0lJCQ888ADPPfccdrude+65h+9973ukpIjj96RJk4KqeB588EEWLlx4jGd9ZDGYPrswQTnSsEZI87xQfWAGIcwdS8DRihp3SfCCVbJaSo49fXkGCmPE6aF3tNWJz0tbTd9pt/o9YLGhk4f5hMTOjnZ2/O8Nik69AFtkVM9jLDYfOQlEX2mc7u9D/YRK0RRdcA2Jw8bgdHT1SOeYpslnz/wce1wiwy/7hm979+t21Byks+YgyWP9guJYdyPKsNCuEn0EwktOeptTKPIR6v4HW4onAFla6wcC3v9cKfWVXkcL1gIjlFJDEGJyJXCVd6fWugnwlZEppZYC3w1FTsIIw4uKigp+8Ytf8PTTTwPwrW99i+9///tkZgb3bFu4cCELFy4cVIv4iYwwQTnCUAm5vkZ8xwVqd0q1izaDjMPU2AuhrdZX9tsbXA4Hrq4OIuP6bvKn4jJgyrXBFTgB8C2ymeOlJDsglbVm0ZO898gPOPP7jzDza55y4q7WII+W3qImONrQtuheIyihfEy8kQ9vtY43MuJN56z+3X20VZZx5h/fwYiI9IldXQ4HtZ+uwhaXSMGFN7Lpdz/A1dlB8Z2PeMS1Dkyng50vPErL3i1M/NHTRKVlYxgGE/QnmG6DFZwcZGFvmqbPAyVQKBv4PlQEpju58d53X3b3xwDvKKWuBF72vL8MWNLXAVprl1LqW55xFuDPWustSqmfAeu01q9/oTMO44RCbW0tDz/8ML///e9xuVzceOON3HvvveTl5fV/cBhfOMIE5UsI3XAA4rJQVrv0qTHdPazmVWQCDKCz8Eu3XULJhuXc/ttfEzPh/F6bMQJS3rv9LTFIywztpaGKzuqxbexZl9JcWcboMy6WxbZuN2z8Gww/TYzWQulOulpQFZ9i7P0frpHnQNakfnUn3QlKYPrG5XL5XhddchOtNQdR9gicARU9JjDp3qfAsOByuXC2t+Lu7PARmB1P/5T20t3kX/ZNYoeOwRKf7CNAO1UB2hDNSW/OsV54x3hJSWRnNbENW2nLmY22JAY9i+5pm75SO8cANwPfAf7meW8g7rJfl6npkJ0qtdaLgcXdtv24l7Hzj9Rkwzhx0NjYyKOPPspjjz1Ge3s7V199Nffffz9Dhx47x/EweiJMUL5k0DU70Rv/Ji6ro84JLgs+DGSOnoCzqRpb4x70+r/AuIt9Fvham8ElxV0tUL4BXbUN0sf0qm3Rm18FV6dUBgGJOYWcfe9jfvIRESdpp+jQnaC11hib/gnNZeioZIhMGlBqp3tKp7coS/ZJp+N0OkOSHGtsgu/96Nt/FXTdqOwhaNMkcex0jAmzAX+k44DOwMDAokJrZrTWpLZuJ8lVRWnqPLT2R1UiWw4Q3bKXrvYRuD2ksj/ty2CA1jqu/1FhhHHk0NrayuOPP86vf/1rGhsbueKKK/jJT37C6NH9N24N4+gjTFCOc+iSVWDYUAPtixKfBZnFqPTP/x/S3LiIU6Ykwe3L4MAq2PM/aG+QeTVXoNc8gx46DzXEY9cflQRRydDZBC4H2Hv59Ws+CK4OH8HpscDGZsDMW2V7N52JT/iaNQFi0nEPP8Nn5NadfPSV1vG+9qVvPBEUb7rH6XQGHes9lzfKEngdkKiHWTyf+pSRbNqwjqh9G8mZfwFRadm+lI33HIHW9t7oRu2m1fz3t9/n/IXnE3H2DNyG3ZfiaUyeSEdsPmZcLtZuxORwhLDa0YbetwyVO7XfFN/nhVJqPFBIwN8i3YdRWxhhHA46Ojp48skneeihh6ipqeH888/nZz/7GRMnTjzWUwujD4QJymFAOzvFrCyt6JBNx3TdbohJC7Zf72t8w370nqWo0ef2MFfTWqN3LBEn2YhYSB3Z+6LT2Qxt1aiU4ajxlx/SnHuFNRKsEShlQQ2bj86diooQUzGtDNlv6eZya9hAu/E0sA0NX2uAEOTEez+h0jqB77MmoTMnok2zh2Psq3d9lZpdW7jsqTeISc3sIXYNdInVWmPvqsfZ1MDBXXtIHX/SgDoUg/xR/OCDD3j//fcpLS31kR0v0t9azuwFp3H55ZcTFRUVVFacohrpdMfjNCJFk2K1YYmOozxxCrlGNJbACI+y0hWVgTVElMj7b3dRbZ9pnbrdULIKbVjFGfkLglLqz8B4YAv+X4j+jNrCCGPAcDgc/OlPf+LnP/85Bw8e5PTTT+eBBx5gxowZ/R8cxjFHmKAcBvTeD+DASukgnDlu4Me1VEmvmNQRqMnXDOygxhKo3wvNlT0EpkopmHY9et9y9MYX5Zy9eJzora+LIPakWyUC4e7q19221/vQJpSsRhXMRHms8QGwx/grR2LTYZ54ZGnTBVqL8HXC5dDZgrL37EDsuy+LzZ+aqPgMdr0DxZdJt2R690QJlcIJfO39KVm7DFdnBw0le4hKTg+Z1tnz3qtY45JIGDqaIbVL+N/rH7Dh43VM+PYvSCmeEURGmnZvZvdff03+xTcTN3oqbW1t/Oc//2HJkiW0tLQwZMgQzjrrLHJzc8nKyqK5oYEd61dS1tTBq6++ykcffcS1l19C8obXyVpwMcPnzGOK2kqNmcJmNQ6tNYlFEznld29gsVhC3n9Ikna4yBgn6bcv3oF5ptb6iHQdDCOMQLhcLl544QV+9rOfsX//fubMmcOiRYuYN2/esZ5aGIeAMEE5DKisiWi3S8Seh4KYFGmIl3wIQqzCOajUol7FpyoxH4aAjoyDhNze55w/Ax2TAjGp0tDwwAqY8XVUfFavx/SKlkppVGiPQ0+/CeW1wO8Na/4Ejlb0nO9IFKi/Sh4vStfAjsWAkm7QvSzC/WlLuqd0rl60nMby/WSNn+6LgAQKY9ubGlj123uxRsfgam9jsTKYff0t5FqziLa66GxpAluE75yOthacLQ101FZSvn07jz76KLW1tUyZMoVzzjmHUaOC/VyUUkyZLr2hdu7cybPPPsujTz7N2HiDW6c20eyOYJ+RQb2RElSx4xXHeq/rregJVbET8nkOEMqwoA6BeH8OrFRKjdHd+uiEEcbhwjRNXn75Ze6//3527tzJ1KlTeeqppzjjjDOOpRg8jMNEmKAcBlR8FmpMX+1EejnOsIasUunzGGVAX5UxhHZ77TEmdYRPvEp0Mjo6RVIwh4O4LEgtgtodsO7P6PFfQSX09CHxITYNuqKgWzpM718uUZ0JV4aeS2S8NP8bc5E46WrNqr88zo7/vc4Vj/+TyPjE4PN5F+jqrXQRxfaPlzHytAuxRcUE7Y/LyCY6NaOHJb0vPaMUyrBgsUdhWO0YFitq9ClMSvuENx7+MblTTiLrijvZ8ezPiRsxnuTpp4Fh4aMlb/Hyrnri42L5+uQ8Jp5+EnFFRX5djCf1YxgGo6Lqyba3Yisazi8ffJC///F3vLV8LZvc8eRoxTZ3AVZlxQggWYEpmr5Ev0q7id31BmZcDo7cgfdqOgb4K0JSKoEupKOx1lofmXbJYXxpoLXmtdde47777mPz5s0UFxfzn//8hwsuuCBMTI5jhAnKlxAqdyoqd2q/43TDAfT6v0q1j0eE61sUx1wIe96D8g3QXg99EBTVm5tuczk0lkrX6VAEJW2U/Hiv29HIwU1rKf90DR3NjUSqTtSG56FwHmaeJ6fcVoNt26usWb6D9//xCu2NdUy75tt9Rla6R1gsEVEseOgFlD0Ke1KaT/zqUiMYPnkiEeNn42xrpWXfdpQ9grix09lqz+Rfn+xn+PDh3PbVS2h4+TE6K0uILppM/UdvED10LFH5YlBnmiZJlnZSrB1YcdGxZxNTajawMyOZF154gRkzZpCSkhKSjPRKSgL/CLsd2NoqcHkI4WCt4gH+BFwDbKJPUVIYYYSG1polS5Zw3333sW7dOkaOHMlLL73E5Zdf7vMECuP4RZigHGXo/R+j22ohNhOay1FjLxywlfwRnYejDb31dels3FtFj1JgGGjo2U/okxehvQ5mfRsdkcjrP7yJjKLxPiO1kNfsfo6xF0NRpzjvdoerE7a+jk4rEs+Uik9RW//DhV+/gTO++R1icgvRLZUipA04v45KxlUwj1GZp9ISmc+oMy+VjsyGHW2P7yFm7Z7icXR1UrFxOSmjp2Aqw1e543K56IzMJP26B33+KGN/8CSNW9fy5k++xb/KTIbFKO6+6VpicoaQcMejGDFxVL31F1o//Yiu6hIicod7Hqvi7WW76dy7mdTz84ksGEV88UlcP3QKP37sCV544QVuv/12H3EKdJb13mdXcwPNB3aRM2WO/969JMYaRcPY67DYo3xuvD5t0OD6Nlmjw8ZqYRwmPvzwQ370ox/x8ccfU1hYyHPPPcfVV1/tawsRxvGPQUMxlVJnKaV2KKV2K6W+H2L/XUqprUqpz5RS7yulDr817jGErtgkws+qzVC5CZwdAzvO7ex/0KGgvQ6qt6FrdgZfp34f5rJH0XW7JXW04IeonMn+/a216AMrJOWSVAjRyXS2NLHpzZfY8vY/Q8+9WzrCB8Mampx0NsPqp6B6K9TskG0xqej4bCyNe4jb/ya01UBsBubJ30PnzfCfXxm482cRM3wa827/CTGJSURtWUT0rtd8Y+L2vkXC/sWi63C5cDm6fHPc//5/WPnQd9izeJGPFGz87ffZ9OT9uJ1O3C6nb6w1Jh5nTDKvVSuy01P49m23EpWRy4KEMk7ObEGbJp0HtoPVStIpl5NqbacwspmO8r00rnmX5m3rcLU00lGyg5bNq4iu2sWpp57Kxx99REdba1Dn1O6Rk01/fYzlD95GzZb1oUWz1ih5voMbG5VSi5RSX1VKXeL9OdaTCmNwY9WqVZx++unMnz+fvXv38uSTT7Jjxw6uu+66MDk5wTAoPk2llAV4AjgdaZ++Vin1ejfx3EZgqta6XSn1TeBXQH99OwYd1JRrwdUFtkhwtKMi+veq0uUb0VteRY8+HyNvWu/jWqshKhHVvbQ31DwS86WiJzo5eIejDTobxUq+uyi1tRpW/gHQUHyZT08TnZTCN1/fSFRCUvD4ziZ5ERHSELR3uB3Q1YrOGAejzpNt8Tkw7WZ09XZo2CueKiHQIy1isePImorbHu8jHJauBvC8fvuehTSXH+C8P76NYbURmzuUmMw8YnKG+lI+7VVlAHzyq9sxu9oZ9/0nfZGXv7y+hA43/Oiu7+He/AH7Fj+H+56befOZf9DqtpF59T1olwtbYiozEkpJsjlZ+d4/cFSXkfGV72BPzkBHxxI/cS7x42YyLd/BkiVLeOsn3+KKXz+PNkKXWufNPRdrRCSJQ4oO7dkOLkQh2pPAWuZwmXEYIfHJJ59w33338eabb5KWlsajjz7KN77xDaKiPp/ZZBiDF4OCoADTgd1a670ASqmXgAsBH0HRWn8QMH4VcPVRneERgrLH+HvIDLShoD1a+uRsewudPhoV4Y866M5maCxBRybCmqchexJq3MW9nsrc9C+wRWOMOgcVF9wIS2sNGWNhwQ9R1gj/9opPRWsy4nSxv4/NAGsEevXTMq/0UaQUzvafw4vVf5R/50q5Ma5OqNkJGWP6/Havo1Ng7j0yppvRGGlF6DS/8LQ3wahvH9CVOwfTNLFVbyKibjsNhefhUHZM0yQmPQe304lGzNSqPltNW2UpzaW7SRwzlc3P/oKkUZOpWr8Md1szkenZaMDZ0cZ7/3yR1atXc+WVV5KTk0P9/kSsccm831xIZ2wmVsCIFnJmmiarGlKIs7lIWHAF0TXlRA+VEmIVGUP6eddjtVoZozURVgu7Oo0e9661pn77RqITk0kbN42M8TOw2YPJaF8eJyG3uxyw8a9SZdWf2PkIQ2t9/VG7WBjHLbZt28b999/PP//5TxITE/nFL37Bt7/9bWJje7cqCOPEwGAhKDlAacD7MqAvJ50bgbdD7VBK3QLcApCf33dly/EClVYEI09HNx+Ebtb0+tN/QFOpVMKkjfJX6oSA1ibU7gJbTM99lZvFK2XCV3qWQTeWQsMBQKFOvlPG718uIldlSDSocHbPb/rd++0cWAn7PpQISSiR7oEVsP9jmHKdEJ+KTyB/lpy/L7TVYKneijN1DKv+/mdyp8zB0d5K7Z5tTPzK1/0pmbZKbG0HaTqwg1fuuZmxl1zPnLsfxul0+kzUajatASBh6Bi0aVK3eQ22mFiSxkyhdu3/MJ0Otj52F3Gjp/La4rfJTkni3HPPBSB59nkkzDwbrTUZV9yBo6Gasie+R9yk+STMOpcqRyRVDojIjiMyZxgdpbvoKttF8qxzUR5Bn9VqJbegEGdCAnRrAOjqbGfDb75LdFoWp/0/CTIEpoHgMDQmrg5x7kVL2uwoEhSlVC7wO2C2Z9NHwB1a67J+jjsL+C3SLPBZrfVD3fbfBdwEuIAa4Aat9YEjPP0wvmDs2bOHn/70p7z44otER0dz3333cdddd5GYmHispxbGUcJgISgDhlLqamAqENJxR2v9NPA0wNSpUwdt+cKhQhXMovvSo7WGpnIwrKjU4aiMvj2vlDIkbdKd5GiNNt3gdoIZopii6GzxYwn0OymYBemjJcphjQitMRl5ZvD7rAng7vJV5vSA6UKbTkktHVyHKlkp0ZSsCSGHe69plK/DUrGBquX/ZtkTf6Zw1ql0NNRRte0Ths47l9j0bLTWtGafTGvqJOrWr8XV0Y7L0eUvLdYmUZ1VjLjgWg58mMLah+8g/8wrOefWbzAyxcmnkTOoPONKtj95H86GWuric6nqgusuO8s3l9p3FmGJS8KWkY89s4DO0l2Y7a24O1pDilSbVrxFx97NxAwrJjKrkNY9m2je8CFWQ+F0OoO6GgNYI6MZcfnXiUn1R7683Yz7QqBlfg9EJsCcO8HZiYrvu5z9C8BzwCLAa218tWfb6b0d8GVKB39ZUVpaygMPPMCf//xn7HY7d999N/fccw+pqanHemphHGUMFoJSDgT2t871bAuCUuo04F5gnta66yjNbdBCKQVTrgHDMiDdiTbdUPGppJZGnBZEKlTWeMiSiIfe84HYnU+6BmWLlE7H3czYlFLoUDoQraXCxx4LYy8K3hedDCND+MC01aAbSqBgDhSeLNsKZqOjUyXlRC/W9h31qIb9uPNOwoxKJjN2C+d/917SZl6Is6uTxrJ9PnJSv38n5Z+sZuTZV7D0l9/BsNkovvJWTNOkfN0yNv/5F1zy1dMYNeYsjNiraD24j5IlL3FwaSRDfv1jutwWbAkpGErhcjv5eN0nREREMGfBqWjTjely0rzxQ4yoGNwtjcRNOdVT/WQSWTi659yB5NO+grPqJCIy5Fe/dfsGmresxnDn4nA4gp61FwVnXIHd3v9nDbD6z79h3/J3uez3/yYmMbn3gZHx8nP0kaa1fi7g/fNKqe/0c8yXJh38ZUNlZSW//OUveeqppwC49dZb+cEPfkBW1mGYSYZxQmCwEJS1wAil1BCEmFwJXBU4QCk1CfgjcJbWuvroT3FwQh2CHbkyLHDSNyV90hfaaqC1GkwncIhmbtqElkrpDTRQ7H4fVbMdHZMGiR6eao+BgOoh3+kD9CXGvg8xqrdgFn8VM2caZs40Rk3w98JJHT4Gt9sNwEe//TGlaz8koWA44y69Ebfb5Ttna1U5jRUHqWqPIMKaSlxeBNN/9EeW3n4+RnQca5mAS7sAF8Nv+Smurnaeuv9BiouLcZdsY8/Lj5N+wc1kfPW7NK99B9PhQEVE425tIPXy24ksCF3GrWwRdJTupmbxX8m/+Weknf4VkibNpfahxxgxIrvn+D4iJYFREu+/9ft3Urd3O872VuiLoBw71Hkion/3vP8qUNfPMUcsHQzBKeGMjAyWLl3az+WPDFpbW4/atY4FDuX+mpqaeOmll3j11VdxOp2cffbZXHPNNWRkZLBjxw527NjxxU72MHAif36D6d4GBUHRWruUUt8CliB55T9rrbcopX4GrPN4JfwaiAX+6fkDXKK1vuCYTfo4hYpOAfox7xp3KZjOXnv1BB3bXidlwV7bf8MCs2/v4RrbG7TWMGQuJORJpQ5I7x1XJ4y+oM+5mvmz0THp6IT8HuMCxbPOzg4qNq0hKjmN1JHjSS2agNPp9Hczdkgw7qCRQ6aKxjSdGFYrs371D1xuv6Fb2RvP4+poI3r+5VRWVnLqqadi2CIwImNw1FdhA9q3ryd61FSaV7wBQNTwXtJTzi7Kn74PIyISS3QcWCxY7JF0JWZQU1PD5ecsIBIHThUVRD4ad20iOjGZpMKRvu3en9I1S0kfMZa4jByUUpx1/x9wdXUSFe9vTBk4fhDgBkSD8hhSvbMCuO5Inby/dDD0TAnPnz//SF2+TyxdupSjda1jgYHcX1NTE48++iiPPfYYra2tLFy4kPvvv5/hw4cfnUl+DpzIn99gurdBQVAAtNaLgcXdtv044PVpR31SJyAG4iqqDIsQjf6ON12w6Z8SMTn5Ln858UDSTYHnicuSH2cHqEio2S6vR51Pr7N1O9BRSej8WbgdDta88P8YMus0UoeP9RETW+VGiEjCHZPN0HnnEp2aiTIM3G43nS2NWKNiMU2T5OFjSR0zhcS8oYxt+ZBmI5Hd1lEY9kgO/vclKpe9QdE3H6Bx6xrc7a2UZhYDUFRURGThEOzpuTR+9BrxM84i9cKvY03JwtXaRET2UCKHjO0xdbOzDUtkDNEjJ2JPziBl3sU+rcmeXeJLc9FoO2Ot+/lES/RFKYW7q4P1v76T6PRsTv9/rwSRjfo923j3RzdScNJpnPPQ86JfsViItMcPNlISiJ8BX9NaNwAopZKBRxDi0hvC6eDjHG1tbfzud7/jV7/6FQ0NDVx22WX85Cc/YezYnv9XwvhyY9AQlDCODvTu98AahSqc3f/g7seGcpNtq4OC2X7Dta5m2PUu5E73p2sGgsYSWP+8RFOm3iSpIqWCvFh81zdNLKv/APZYXFNupOyTVXz4+E/Yv3opUYkpnPyt+4lLiCWq5ANs0ek4i77CqT/8fz5X2A1/eYxN//gjpz30V5JHFJMyaiKzfvQHlNuBrXEP7TWVbH7zX+Sccgn1m1bhbGnAdDkZeesvMN1u3v1oBQBpadL0MHHGmdQ21tC8+r9kXXcfttQsMq/6bg8bekdVKY6KfTS8u4jU824g/YKbg0SwSim2fPwWSTGRpOSPoURnBZELa1QMwy6+gdi07B6kIzF/OMVX3EL+9HlB5+sPx5i0jPeSEwCtdb0nldsXwung4xSdnZ089dRT/PKXv6S6uppzzz2Xn/3sZ0ye3DOVG0YYMIicZI8GdEsV5so/oGsGX07zaMB0u+DAKihdfcjHhoy8xGRAfDYMW+BP6TSWiUNuzfaQ59i3eilPXTSVsk+7zcEeI12Oo5LF96UvDYtS6NgMdKxUneRNnsWZP/otSXnD2L7k35RtXImOiKdtyFm05i3oYd4Wl5VPfN5Q7HGJQdvdysqGmFNYv99B9doPqN20ivbyvVhiEohMz8USHYc1NoHW1la5/Rgp144ZMYHMy28n9dzrsXsEr67meqpe+CWtG/5H62cf46qroOqvv6Bt0wpsKZlYE1J8BMNbidPS0sJbK7dSZO/io9fepZ7EHkRk+PnXkj/3nKDthmFgjYhg5td/SMHkmUTWb0WZrpCRk0N9/QXDUEr5lNaeCEqfX5q01i7Amw7eBrzsTQcrpbwp38B08CdKqbCd/jGEw+Hgj3/8I8OHD+fOO++kuLiYFStW8Oabb4bJSRh94ssVQelsknREaw2kfX4HTt3Vgl7xBGSMxTiM7sZHE1prlGFBz7jlkC3Qe00LherMnD4aJn8tyE8j8Pj6A7up3rmJxrL95E4I0DZGp3AwZhpbX3yJud8cij0mgKB0NUOAdbsG9Piv+iMUhsGES67D2dnBiFMvIGfSLCEcMZm4bXHQjaAMP/0SCuafH9SDR2uNzdnC9jdeJjIjjwnf+RUxBUUkj59NR10lG++9ivT5F5E+/2La29uxWq2079xAxb+fJPOSW4keORFbWg6madK04i2aV/0X7XKiTRNndSnJZ3+NmHEnEVlQRPz42UHEoatiPyXPPcia2BG43CbzZkwjeeJsH/nw/lgslh6ko7sOJap2EzGVq+lQGne232smlIh2EOA3SDdjb4+Ey4EH+zsonA4evHjxxRe59957KSkpIS8vj7POOot3332Xffv2MWvWLF544QUWLFhwrKcZxnGCLxVBUWkjYd73BmQvP8AzgsUGluPnMarY9C/4AsovmA2ByZffyIj559DR1MCLN5/H/G/fT854se9f99If+fQ/LzBk5gKGzTldiE1nE2rl7yFlGLrYb2XRnTRprbFGRJI/9WRM08Ra9RlR+9+lJW8BncljeoztjtTOfSRVrOTVV58lLn8EU374B1wuF1GZeWg0hs2OstoASExMxOVy0dYh0ob2PZuIHjnRc/sKZbWi7BGkfeU7GJExtG9dQ0zRZOI8xMQ7Djw+JhYLrVh5b/0WZs2axUnfuGdAZCTQA8WXRkoZg6HdOJOLfOHRQyEkR5O8aK3/qpRaB5zi2XRJNz+TMI4jvPjii9xyyy20t7cDUFJSwtNPP01BQQGLFy/mrLPOGkzkOIzjAMfPynqEcOTICaiIWNTcu4/Y+bzQrq4gq/nDOkdXKxzcKI6tvVTjDOg8gYt5RyNs+CvkToOCkw79eA/i0rLY8/E77F3xHsPmnOEjKKd85wGGzz2LobNO9Q+2RUFSITqxZ2/IUOd2tLdiiYjCjE7FFZOFO9JftRRoia+1JrZtP2lNn7I/bgYfLXqR1t2fMP3WH0L6MA689QJ1q5cw+hv3Y0/JZMJPnqd+8xrq1ryHc418ee+IluyEs76S1k0rsMQlE1lQROLMs0mceTau1iassQlEzrvI94e5eeOHRGbmE+XpbGwYBlFZhXwUOxqT9Vx33XVYLBbfT2D0JPDf3n60NY7O3NlBBAd6Vu8co5ROD3gISZiUHMeoqalh/fr13HbbbT5yEgitNWefffYxmFkYxzu+dARlsEM3H0SvfgZdOBtjxOeIVJevR+9+H2VYIX/m4c2lOwFwO6CrCRwth35sN0y8+GtkjJpAZpHfDj82LZMxZ14aPNBiR09c6D1pn9da//en+ODRH3LRY/8gf/o8HKOuwOVyBZES779aa6zuTj5btpwD7ZtpqW+ksaGN0aNOQkVEUV66lfaGOjb99gcQm8Lo7zxC6b/+gKu9hXinVDiV1dQz87aHcJuakifuwZqYSmR+EfGTF1D3/st0le4k5dzriR8vgmRXYw11/32BiJxhFNwoGQmlFP/6179YvXo1p6ZZcH/yP8ha6CcUaIa6dtJhpNBkzeuR9lFKEduwBYvppDN7Ro8oyyCt3gnjOEVdXR3r169n3bp1rFu3jvXr11NSUtLnMaWlpX3uDyOM3hAmKIMN1khxbW04gPnZPzHGX97vISGRO1XISfbEwzo8JMGITYd535e01qEeGwJZoyce8jl6227b8y4JjjLis/J7dFUOPC7w+LqYESxbtpW26oOc/oe3wWLBRHFw5TuUf7KOcWefT8mOXbRVlFH6nz+Rk5NCY52Bbmwj0QbLP/6YuXPn4na7ybjoFhx1VTR89BqW6DgiE5NxlFuwxSX4SII9OYP0867Hnpbr2/bf//6Xf/3rX8yfM4tTzFIiktKCCEikcpDtKKXV0UpLdEHIiEhc3WcY7k66sqcPSGsyCLUoYQxC1NfXs2HDhiAysn//ft/+ESNGMGvWLG6//XamTJnCtddeG5KMnCg90cI4+ggTlEEGFZ0Mk65GL38cDCtam6gBmp4FncceE7qBH6BX/REsNtS0vuwmekE/5ORIIOSc+yE9RtMBxo1KZ8gra3GbGrQmonIdyp6EKyIJt8XfOVprTWtlKUu+91ViM/IYf+O12KJjpC+P00lcQRHJxTNocNiJHzmZ5r3bqV7+Fha7HbfDgUIxIT2WZVu20NzcTHx8PAnjZ+N2u4jMHoItOZM5hZrhUQv4+3v72P3IU+Qs/C7ReSNInDzfRz4++OADnn/+eWbMmMG377wbu92O1WpFKeVL8biNGLZaZ6Lt8b70jtVq9aVwDMOgfsj5WDBRhj+t012f0ls0ZbCkesI4tmhsbOxBRvbu3evbP2zYMKZPn86tt97KlClTmDx5co+mfb/85S+DNCgA0dHRPPhgv7rnMMIIiTBBGZTQYLVD7vTDIif9Q5rjHWkMNHJyuGipqaCx/EBw9Y8HncVXe7xTDMCNcrYSXb4cuz0eq6OZpsxZNCcE9MQxNabLRcPuzdjjk8g9+RzfvuiMXMbe8mM++va5WCKjGXnzj2nevYmYERNo2rya5BmnE9/SxbJ77uFf//oX119/PQAWi5XGNe/SsW8Laxd+m65x+TS7ysDjheIlAK2trTz//PMsX76c4uJi7r77bqxW+a8YSC6UUjTt2YorI5v49GgsvaRvzMgktFJY+ykrDkSYjHx50dTUxIYNG3ypmvXr17N7927f/iFDhjBlyhRuueUWpk6dyuTJk0lKCtF3qxsWLpRUrLeKJz8/nwcffNC3PYwwDhVhgjIIoWJSUafce0jHaNMlKZ3Abb0QBjXzm32f6wsmGj6YrkMqeX79Bzexf/UHfPOtTSTmdqsU8oqKPX14TFssLUPPw+1yEFOzEVdEkpQee8zaYrPyuPiFjyn5+L/EFYzscS0FKIsFZbWRPHYa8UWTME2T+GHjME2T/BQ3Z599NosXL8ZZX8nNd/4f5X/7FZ0V+wHY9fLTuFIeJGHqaSRMPRXleaRr1qzhueeeo7W1lSuvvJJLL72UiIgIMWLrFhlpqzjA2l/eRsrYqZx835M+4hKoPwl87f2JKPkQS8tBXOOvQlntYR3KlxgtLS09yMjOnTt9+wsKCpgyZQo33HCDj4ykpKQc9vUWLlzIwoULB5VdehjHL8IE5QSA3vMBeu8ymHEzKl6azPVHMrSrC3a/BxljUUmFn38Oh0pqdr8HB5bD6AsHrJOZdNkNpAwZSXxmbq/X9WlNTJNl/3iJlCEjGT7rdBzWWHC5eO3r52CNjOKM3/wDgLzZZ+J0On1NBX3nAbTb7YtgGYbhO7dSCkddJaclOmnJTeDDDZtpfegXnG45SEJyBo6GaszOdhwVB4hMyWT70z9l7e4yNjhjqaioYMiQIdx///0MHTrUl8oJTOsYhkHFx4vZ/sJjpE+aQ96cs3zkpbdKnsDIi9HZgNFRh9Ju33y9/x4OWdGmC9rrv/gS9TA+F1pbW9m4cWMQGdmxY4fv9zYvL4+pU6dy7bXXMnXqVKZMmUJqauoxnnUYYfSOMEE5EWCPgYi4AfXA8aH5IJSuAVcXHAGCcsio240C9CGkmsacdSmjz7wE6J8QtdVVsf5vvydrSAEzUiuoHv4VXEY0MakZWCKi+jxWKYXFZqfoa/dgRMX0WNCbt62nZe8WmtZ/wJk5qUR1tfDulm3/v73zDo+q2vrwu2YmvRdIJQkJoXdCUxAQURQRUQTs7YoNexcVlct37e3qVbliQxQUEVG5dhFUREB6rwmhhpDeZ2Z/f8xkmEkmDdLZ7/OcJ2f22efsdU6Smd+svfZarAHi44No4x2Od84hct/9gEzzHA4fy8RiVSR3iODmSeMZOvxsivZuYvfST0i6+gFM/gGVvCEefoF4h4TTcdx1hNlXOokIGZvX4BscSniHrhRlH+PYlrUknz3WRXyUdh6PASsGD+/qA2LNJajMXdC2C4ZqcvmonT9C6h/Q79o6Vc/WNBwFBQWsW7fORYxs3brV8X8RExNDSkoKV1xxhUOMtG2rBaamZaEFSitA2g1A2g2o2zmh7VF9rrKlqnfiZKZ33J6jlK3gn6dv5WMAPSejirIqJXU7mQBZd/3820Qx/rXPCTbkUOJXhtXkA1Y495kPsVqtlJWVVXstv10/kbbgdeLH3wjA8XW/YTGb8W4TzZ4PniGgUx8iR04gZ/vfnBlbSu+e7diaD+mlBvbt38/xzCKCTUWEewoXjr2IM888k7jQQLY+P5WD2Tvx8A8ib+cGrEV5WE0GPP2DHB4UgJhBI0kYOhqj0UjGhj9Z9dpj9L/1Cf548QH8I9sx6cOlrHn3Bbb/71O8/QNIGDzSSaQYEINHJXFSSaSk/gZ7lyPdxkNM1SVwJLQ9Kv8o+Olv201BYWEh69evd1neu3XrVqz26cyoqChSUlKYOHGiQ4xERkY2sdUazamjBcppjIQnu7yuN3ECsOt7W82flJsgMKrycZ9g22Zn56//Y9OS+Yx+9GW8A23tf815neyDqZzzwLMnFUMR3XsQFouFHKUozj7O8bRdhCX3cBwPy9+G0VJCus+JisHlUznKXEJJcTGqrBQRYc8nr2E1l9Jj2iwiR1yCf4ceZC/5L0UHDgLQrm97Bl5wtePaeXs2kb7gTQI796PdxdfZigIqK1GjJuIf15HgTr2wFORx8MfPOPLnD6Q8/jbesYkuq3hMJpPtPKuFsqICjCYjfa+/j4C2MRiNRrpedBU+gSHE9BrkNhbFXbCs808V1QvMpVDh76Ai0qYTUg+lIeoLERkNvAoYgXeUUs9UOO4FfAj0AzKBSUqpfY1tpzucU8G7CyItLi6uJEa2bNnimIKMiIggJSWFSy+91CFGoqOjqxpO00IoKysjPT2d4uLipjaFoKAgtm7dWu/X9fb2JjY2Fg+P2q8E1QKllbP52wWEtksiqltNRWLrGb824B9ZtQelAlu+mcumbxbQb9Q5tBtpe8P++7PZZO3fw7CpT+DpW03xwBpQViu/vTKNvb9+w5jXFhKSaBMkIQW7MVmK2ZhupvB4BhH9znKcU9z1Qoa8dh5We1K3oM59yNr4J8WH04gdczVWq5WkiVeQtW0duzMsRJ59qYsgCEzqQbeH33SN/zCYiDnvckcMiYe3Lx4BwXgFh+PpF+joB5D+2/9o07kXQbGJxA48mysWbXAIlnIRE9m1L7E9BzhiWBzjVBAmVa7k8WsDnS9oUQG0ImIE3gBGAenAKhFZXCFF/o1AllKqg4hMBp4FJlW+WuNSMRV8amoq//jHP/jpp58wGAysXr2azZs3YzabAVu17JSUFMaNG+cQIzExMS3q96WpHenp6QQEBJCQkNDkv9+8vDwCAuov4zrYvshmZmaSnp5O+/ZVl0KpiBYorZByr0bu4XQW3HMFUV37MOXzulcwrhKrGXb/ggpNhNBE932i+9q2WnLenY/Qr6Mfse2jKffJXP72YkoL809JnPz6wkPs+fUbBtw8DYOHJ4HRJ1Lmp4YNB2Vm7TPXkn8wlXP+8z8M3icElRgMYLEgInS85gHy03bQN8mfI5ZcjhsCORZ9BipqMPFU9iRV9GKUZR/DMyAYo5e3Q6CICEWHUinOPEzJ8SMEtInEZDKRvWcr6956mqh+Qxn2+H/c5j6puIoHqNaDUm6T88+K+y2EAcAupdQeABGZB4zDNV3+OOBJ+/4C4HUREdVoy9PcM23atEqp4IuLi3nvvfcICwsjJSWFMWPGkJKSQkpKCrGxsS3x96M5CYqLi5uFOGkoRISwsDAyMjLqdF6NAkVsyxgeVkr938kap2kaAiNjGT3tZdokdamxb6X37uIcKDgG7oIi8zNsK3Dyj1YtUOqIV0xXYq5+CeVxIoA1KKqde9vqgKevP57+gcQPHknSOeNtydisVg79/RvbF8+hz83T6H71vRQcPYBXQBBms9mtN8Lk7UO7DvG0l434SjHHywJrXBFTLhiKMw6y/pnbCOt1Jl1ufNSlMnHi2GsI7diTsOTuDhESntyNHlfdRVSvQS51eSqu9qmYM8XdVvE+WgExgHO60nSgYmIcRx+llFlEcoAw4FjFi4nIFGAK2KZPli5d2gAm26gqJbyI8Nlnn7n8jnbv3s3u3bsbzJaGJj8/v0GfZVNT3/cXFBREfn5+vV3vVLBYLOTl1VzO5GQoLi6u03OrUaAopawiciGgBUoLZOBVt5/ciVsXQ+ZuGHSbLcW9M4FR0Oty8I84dQOdcTcdlLEdw/ZvsHa7BNwUDHSLuRiMXlgtFlKuu5dBtz6GxWJxuM4Bjm5azZH1K8hN3UVYl76E9xhASW4We39cSPSQC/AICAbssRp2gZRDIGutnTl8LI+Dq+bTdsiFmHz8ADj21094BIVy8IdP8QwIIfn6h8lY+QMHvptHh2sfJLhTH4I79XaIhT1fzCZj3W8MeOR1wpK7V/KMdLnkBjw8PGolNqrzmlSkFQmVekEpNQuYBZCSkqIaMndHXFwcqampbttHjBjRYOM2Ba09D0p939/WrVvrfVrlZGmIKZ5yvL296dOn9uEGtU1TukFEpkvDpDXVNEfaDYS4weAb6vawCu8I3kENb4e5GEoLbMuhnSnKgpLKKt/jyDqC1r6JKXsP3z95Kx9OSKHwuM2teGD1cv54ZRqlhfn0vHIqo15ewPZF7/HjXRdjKS0hffkSdi18h4O/f1ulRyLTEM7615/k4HfzyF67HKPRiCouZN+nr7N7zguU5WRSlpeFwWDAWlRAWV42JpOJnnf8H+2GX+QIfjXn51CacxwDCpPJ5HYr71vRi1LugXGeKqrOe1IVLVSsHADaOb2Otbe57SMiJiAIW7BskzJz5kx8fV1FuE4FrzlZDh06xLBhwzh8+HC9XE9EuO+++xyvX3jhBZ588slanz969GiCg4O58MIL68UeqL1ACQUmAwdF5EsRmSEiJ1nF7vRFlRaiDvyNslS/xPWUxqivafbwjtDxPLeZXut7Kr/a60X1wjrsEZs95VgtmFb/F4/1H7l0FRGsngFYvIJRJl+C2yUSHJeEycsbgN0/LWLX9wvISd2JweRBULsk/CJisZSVsuG9Zwnt1JvOV9xJUGJXVj49heNb1rj94A9M7olXeBTebWNIXfhfjvyxBIOXN9biQhIn3IqymMnauIK48yZx5suLCE7q5hAU5YKj502Pcs4bSyg4mEruvm2YTCb8yzLxLztWSZBUFCfVZZItfw7VvS5va6GsApJFpL2IeGJ7X1pcoc9i4Fr7/gTg56aOPwFbltVZs2YRH28r+hgfH8+sWbN0KnjNSTFjxgx+++03ZsyYUS/X8/LyYuHChWRmnpyWf+CBB5gzZ0692FJOrYJklVITwbF8rxvQA1uw2mf1ak0rR6X+bss7ARBT+wDSJmXXT5C+CgZMqdKb0uAYjJVeW6N6ozwqTwlZQpLID2qPUorBNz9C/xsfsKW4t1gYeNvjJI+eiG94JFaLBYPBwMCLLuTz3/7HgeX/oyjjMAMefo39y74hL20n2TvW4x/XAcSA0duX0uxjmAKC6XTN/Sil+OvRKzHnZ2P08cdaUoxvTCI5O9ZRsH8XR//8gbAu/fDws7lKnQVCuaiwmMtY+ezdIDD634vpov5CUOxrf6UtdiXnOItuvoCEIecx4oHnqvWO1MZjUrFvS8QeUzIV+A7bMuN3lVKbReRpYLVSajEwG5gjIruA49hETLNAp4LX1AZ3fxsTJ07ktttuo7CwkJEjR/LXX39htVp56623WLt2LVOmTOG6667j2LFjTJgwweXc2sR9mEwmpkyZwhtvvMHzzz9fZ5tHjhxZ73FHdVrFo5QqAf62b5o6IjH9bCtU2nZukOuf7JfEas8Tg32TUxqjvrF2ONdmi5vVM+4QEbwDQzAYjXxxw0g6XXQNXSfeQuHhg9zy2G1888MmEs8YjgGFsp7IbvvXkzdi8g2gyw0P8/czdxA15AKSJtniejyDQjHnZ2MpygcRCg/upfCArQJs1uZVrJl5C2c+O88hKnJ3b8a3bQxe4RE2b4qvH217D+b4jg2YPDw4FjAAo+FEECweHhhMHhjty4urSm9fvoqnFQfGuqCUWgIsqdD2hNN+MaA9vJpWS2pq6omyHkq5jW06GW6//XZ69OjBY4895tI+d+5ct6KlQ4cOLFiwoF7GdodeZtyIiG8okjyqqc1woUbBkTTCtp0MRVmwbi7EDoAqMt3WRvDIzu+QnHSsfa6pNOXkHMTq9twKx33bRNGmSx/Ckruz5bO32b7ofWIGjeTAn0vpEe9DWKcOlJ1xLgaTCa/wKNJ//gLvmEQ8g0IJTOpKQEKnE0uH87IA6DPxWnKzsjm0aR1hfYbg6R9M1tbVGL282f/j58SOGIc55xh//Wsq4d36c8a01x2rcM567A1HMGxh+VSOXXT4hoRzzYJVdRIlzj+dn4G7fY1G0zypzhORk5NDVlaWi0DJyspi9OjRAISHh5+0JyMwMJDJkyfz2muv4eNzYkVlueevsamTQBGRsUqprxrKGE0rw1wCRdlQkuv2cG29MVKUZRM7Vkutqx9X9aHs3zaa0c9/jNlsxjciltLso5zZM4w1MpCQnmdwKEexZfFLhPUYhDKbsZaVENK1H97B4fS+90WH3SJCaHQMx0uLOKdvCMXGeP79w5cUHkpFDEb6T/8vB37+gp2f/gff8Egi+w0l4dzLCOvS12WqpmKQa03LhiveV3ViRKPRtD5mzJjhKHNQjsViYcaMGbzxxhunfP3bbruNYcOGcf311zvaWooHZSagBYrGFptSmAk9JtimgNwREAnDHqxbEUMnjmzbQGHOcRL6T7SJE6NH5Smd3HTEqpCAaJdqw1WJH+cP8LAO3Qi79XGij/2Cb4+RHPLtzMEfPufA8iUcWL6E2LPHM/SVxXQx7sFq3s4OY0eXa026ZTK+5mxSvbtQIAEMvPAC1v7wI+LlS/GRdMK69cc/sh1te5+BydOLntfd78hjUu4FMZlMHNu6FpOXNxFdervkN6mYmK22HpSK7e7uXaPRtExWrFhBaWmpS1tpaSl//PFHvVw/NDSUiRMnMnv2bG644Qag6TwodV02rN/hTiey98PeZTZxUJHje2yb1Vz5mDNViJPaeE8W3HsFH980hpLCAps4ydqHpP3hIlJMGz7Bc/N8t+eX5GVjKbUtT3YsE969hfVzX3e0W4zebPIcwJxHHmbThy8Re9aFdLp8KgAZa3/Dy9uLcMtRQq0ZFBxKZd1L95O9Yz0iwjbPHmz2GcghUxy5xhCOWgIwePvR+76X2PTO/7H53X+ReMEVeHj72EQFVkyqzCE+DAYDymrhh0ev45enbnW7Msf7wB8ErnoZrwMrq11KXFMuFC1ONJrWwdq1a231wipsa9eurbcx7rvvPo4dq5TXsFqGDh3KZZddxk8//URsbCzffffdKdtRVw9K84iQ1NQr+9f9SVhCMr7BYa4H9i2DYztt2WQDY1xFRd9rbOLkJL0jtWH4HdPJO3IAb/9AlFIY9v6K5KRhDu8EPrYVRZakcyo6VQAoys7k/Uv6EdljAGOeO7H0bfPn77Ln5y8J69STtj0H2T0RCktpCdayUoweHrQ/bxJYrXgGhxNszcSIhQxpQ+pXH5KzcwN7v3iHkIdfJ/PgYXZ/+h/ix1xFSKfemM1WykpL+fuFezF5+5B8yT9cREP7nD/wNWexM+JCxORLSW4WhUcPMODmR/H0DXA/paNsrlxRliqFiaZ+2LdvHykpKY0yVkFBAX5+fo0yVlOg769uPPfcc02+AOGvv/5iy5YtWK1WR20ogC1bttRwpo233367UlvFcw8fPszVV19dsVuVS1p1kOxpjFKKw1vX894Vw+g86mImvlrBE9FxNET2gMCYyiebvACvOo9pKSvDYKrdn123810XYlg7XQD5R9m+4nd8gsOI7TMYa1QflNUCyvUD28Pbl4iufYno0tvlQ7zvdfeSk76Hnd9+SkSvwSil8A4K5fy3v0MpxbFt61g/ayZdrrqL0K4ppB/cx74thwkdOpgOk27H4OOHT3gkhYfSOLh0Mdk71lN09AAJF16NT1gkZ/zzQ7Z/8hoePn7EjRjnEltS7BmKGAwYTJ4YDAZWvTGd9JW/MP7tJYQmdnZ4VoqyM/n6gavofO6lpFx1O5bEs2uX0t5cDGvnQJvOSOIwxz1rEVM7EhISHG/KDU1rX2as769ubN26lS5dai5J0hg0ZCZZEan0PyYiVa4K1gLlNCc0vgN9Lr2ejsMvqHzQN8y21Zb8DPALdyxJrsj6RXP46vGbmfTGQjoMPa/uxvq1oVR8+Pye/gTHJHDrkk3IvuUY036npOfVKKfU+x4+vox/bQEWi8XxzaQkL4fNC96h6HgGJbnZLpcuj1spzj5GweE0io4dZu+Sjzmy5ldy926jd2Q3Att3QZlL2bf4fXL3bKE4y+4CNZnY/tHLtjGyj9H7tqcREQoO78evbTQmTy9EhKOBPSnMOMTOWc/Q7dIbSRx5MT4hbQiMjncRG2WF+Rzfu52stJ3VJl+rhKXUVh+pLr8zjUajaabUVaAcaRArNKfMyboHPT0MjJ16J7TpdGoGHN6IbF6I6jAK4s9wP5ZfAL4hbfCw169RVitfPnIjIe0SGTb18drZ6+vPmKffxC/MLkZM3uDh67K6JyttFwXHjhDVa5CjTUQ4smkVWxfPIfmCSfS5/kGXY+U/owecTejrXxNqyOazO67Fwz+YDpdOIbhDd3JTd3D0r5/xi2lPwthrsBQXUXRkPwHtOpC1YwPKaiHmDJvwyt69mZX/vJX4cy6h1w0POa5/YOXP7Pp2PoExCXS75HoSz7oAk8nkIj5C2iVy0zeb8fYPdCtKqvSIeAfBsAdcpt2090Sj0bRU6pqorXkl8agDqqwI0v6EmL5IY9SQaSnsWw6pf0D3S23TOSeLfwQqOAGCYqvs0vmccXQ+Z5zjdVlxEdt//oqwhGRXgZKxDSxlVdrT6+JrAJsos8akYInuZwuctYu0bx79B8d2b+EfX2/CKzAEpRQZOzaSvX8PIx57nYieAzB6+2C1Wk/kNCnM59fHriO8W3+GTryU9kWbGXPvg2xYt4v9vyyiTd+hBCV2pcfUf+IdFol/dIL9pvqwa8HbHFv3O0YvHwr276bnLY+DUhg8PLGUFANQmpfNr49dT1TKMIY89BLtBp7tsqy44k/vgCDHKp7qYk8qLT02eZ/Y1+JEo9G0YE6fKZ4jm1G7fwFlRTqMbGprmg9RvcBihtDEarvV6KHxbwv9rq2+D0BJPpQVgn9bPH39uPXr9XioYijOBe9AAGTb12AuQkV0d0wXVbV02F37gOvv4fi+nfgEhzlEyN8fvsq+379nzMuf4hUQ7KhsbCkr49j29QSHBWHOzcSSf5wcUxuOeMZj6NQOw+Y0yvJzUBZb/8LD+9n4xuP0vOP/COvWn/wDeyjJPkZZQS6W0lIKDqexcsYttB9jW5Ln2ybKZqPVQkleNuaifOLOPM/hNSm/B+efAIaCI7bSAh4+NU/tOD0LjUajaS2cPgIlsiditUBk96a2BACVlYra+jXSeQwSmlB9X3tisAbBPwI6u4k/aSBkwzzIP4w6817w9CUwPAJZ/hx4BaIG25b3qu6X2kRTFffsLEpsgb7rWHT/1fS/5i56T7ieTudcDNiSF5Uz6OZHaTdoJG279nV5nlsXvsPmeW8SFBnF4GF9iR//D44afUjz6Y7VaqXDJf8g6eLrQQxYrVZ8wqPwCm1L0ZF0iqMTWDXjZsKTOnHuv/7L7lV/kbHmV4qPH2XDW08z6NHXadu9PwA+IW246N1fMHlWv+pJRDAUZuC/ZS7m0I6UdRnvcnzXsm/xDQkjttfA01asiMi7wIXAUaVUpX9osd38q8AFQCFwnVJKl+fQaFoYtcqDIiI7RWShiEwXkXEiklDfhojIaBHZLiK7RORhN8fPEpG/RcQsIhPcXaPa65s8kbiBiGczWfpWlAX5R6DoeLXd1IG1qB+fRmXubiTDGhYV1Qui+4CHfSrCaIKYfqhop5VmIe0hPLnKa2Tt34NSiuVv/R8vnRHFsn8/Rc7BVHYvW0JJfi6FxzMA1+mP4LgkOp0/sVIys+i+Q4jsfQZ5mZnsPmoh07u9y1g5e7dTVpgPQFHGQba+/xyWwgJ2zn+DldNvAKWIDjFhXvkp2z96mcCEznS+/A78ouPZ8cW7mIsKHNcyengAkH8ozcUG5+3otg28cdEgfvhxE5bwzi79Sgvz+fSOCSx66PpaeVRaMe8Do6s5fj6QbN+mAG82gk0aTaMxd+5cEhISMBgMJCQkMHfu3FO+pohw3333OV6/8MILPPnkk7U6NzU1lb59+9K7d2+6devGW2+9dcr2QO0Ttb0NHAYysf3zbxKRjSLytIh4nKoRImIE3rBfuytwuYh0rdAtDbgO+PhUx2sOSHRvZNgDSE1VjQ1GW9BjxYq+J0H2gX3MnTKWPSt+PuVrnTSx/VGdxrhkn1XJ51UZWFuRbT8s4j8XdOfP917G5OmNyduHlCtvI+XqOxj7r3f57LbxvHNRb5Y8dhNW+zRORVHiTFjHngx57A1Gv7mE3ne9QNHxo2RusyU8ytiwklUzb+GPabZ1+5bSEsRgxK9dB3wiYu3LpYWNa7ZgThhM+wuvJnb4RbTpNZjCw+kc3/o3mdvWuYy358eFLL75fHZ8+ymFmUc4uPZE9kcpK2LJg5MpKypAte3iECjlNnv5BTB62iuc+9BzlZ7L6SRUlFLLsFUpropxwIfKxp9AsIhENY51Gk3DMnfuXKZMmeIoGJiamsqUKVNOWaR4eXmxcOFCMjMz63xuVFQUK1asYN26daxcuZJnnnmGgwcPnpI9UPspnquUUr3LX4jIW8ANQC7wEnDHKdoxANillNpjv/48bG8yjiwvSql99mNWdxdoiYhXzWvNJaonEtWzXsY7smMTu5Z/R2TX3iQOPrvW5zV0AqEj2zbw6Z2XMWzqdHpedIU9c61yW3cnrH1HYnsPIrJrHxIGDmfwDfeilCLxzFEopUgYNIKs9D3sXPoNw+97Bg9/e1yL3UOhlCJtxY9YLBaC23ciddn/SBg1Ae/AEKxWK2vffIrMrX9z1nPz8YuMxeQbgFdgKKUFeRz6/VvMhXnkp+3AUlxIlxsf4cifP3J88yqKNvzAuedfxF4f2+dgn7v+Rf7+XbTpOcjxDK1WK4FxHQjv3JuQhE6seO0J0v/6hQnvfEd4h64YS3Po3DWBQtWVwTc96LDbmX6TbqpRjJxOYqUKYoD9Tq/T7W2HKnYUkSnYvCxERETUe7n4qsjPz2+0sZoCfX91IygoiLy8PAAeeughNm7cWGXfVatWUVJS4tJWWFjIjTfeWKXnokePHjz77LPV2mAymbj22mv597//zZNPPklJSQklJSUOu2pDaWkpmZmZWCwW8vPzK51bXFxcp+dWW4GSIyI9lVIbAJRS60RkmFKqV3VJVuqAuzeUgSdzIec3nLi4uFO3rBXRacSF3PzFKtokVXRONS0lBbnkHjlA4fGjAMjq2bYg2cF3VopDadOhK9fO+dklBsWZvpffQtKwC/AKDMYnONQRh5J7MBVMHviEtGHZs/ehlJXk0ZPY9uUHeASF0m7I+bZsr+ddhn9Me6wlxfjFtiesWwpHVv3C8nvHE9atPya/QMxFBYT3GYq5qJDjm1fh4RdIj96d8FTFjiyMbXsNJqrvEMRgcLExLLkHo579iJy9W+l4/iS8g0Ix+dqmHct8Izhj+hyUd3Cdnl91HqLGQB3disrcjXQ8DzGeskO1UVFKzQJmAaSkpKjGSi6mE5m1bBoiUVt5cjRPT0+Mxqo95hXFiXN7Ved5enrWKvnavffeS48ePXjiiSfw8vKirKyMgICAWhUL3L9/P2PGjGHXrl08//zzdOzYsVJ/b29v+vTpU6Md5dRWoNwMzBWRdcA6oBO24DOAhst1fhJUfMNpYnPqhCrMQm38DIk/E4ns1iBjRHbu1SDXPRXi+g3hwZUZeHjby3v7hoG5qMog2aoQET67fTxZqbu45dttjnZzSRHzrz8H/7bRTHj3R0ZMew2zuYzghE74hEUQM/CENyl6wNmk/foNvz1+Lf6xScSOGIdvZDsOr/wJS2kp5oJcxGCky/UPkbX1b8TkQXDnPuxuNw7EUKlY1eG/l7Pry/dJmfo0QbG2lVJ7fljIytefoO/197Nv2RIytq3j8jlLAbD6hNVOZGz63JYDpsuFdXpGDYFKX20ridBugG01V9NzAGjn9DrW3qbRNHteeeWVao8nJCSQmppaqT0+Pv6UvTqBgYFMnjyZ1157DR8fH0d7bYoFtmvXjg0bNnDw4EEuvvhiJkyYQERERLXn1EStYlCUUtuwTcN8C7QFdgEXiogfMO+ULLCh31AAirMhJx2Vd+pzdy0NhzjBtopH9b6qUh93H9wV2zqcdT4g/PbmTEeb0dObTudNIHnUJZQVFXJ0y9/4tYnGr00UXS6+Fk8fvxNBqhtXcmzjSvyi4slP301Zfg6ZG//CMzCEHrc9Radr7qPvQ6+x/8cFIIJnYAgmbx+UGFwEVXkBr5x9O8jatZmCI7Y/Z6vVSlinXsSkDCOy1yA6jLqE5FHjq5xGc7RbzVBaUN4Ix/dC1t5aPduGRrpdjPS/AWke4gRgMXCN2BgE5CilKk3vaDQtkZkzZ+Lr6+vS5uvry8yZM6s4o27cdtttzJ49m4KCEwH+c+fOpXfv3pW2CRMqr1eJjo6me/fuLF++/JRtqfUyY6WUBfjMvjnzz1O2AlYBySLSHpswmQxcUQ/XbVFIaHs46z6oRWxKi+H4XgiIBA+fmvvWAeelxuUiRSlFn4k3sf6LD8C+lLg8+dnw+5/FbDaz748fWf/JfyjIPMqgO2eQf3g/RXk5BMbZVg0dXbcCZbXQ48LxeHcajDGoDUfXLEOUAZO3L9Fnnk/+gb3sW/w+gck9QCmU1epiS/k0j1KK5HHX0e6sMQRGnkhgFxSXxIgn38JgMBDRpTcmp9pE7paUK6UwbluEZO7CMvB2vn/lafxCQhk65VRDv+oH8Qpo1L9ZEfkEGA6Ei0g6MB3wAFBKvQUswbbEeBc2T+/1jWacRtPAlHsypk2bRlpaGnFxccycObNGD0dtCQ0NZeLEicyePZsbbrjBMWZ1109PTycsLAwfHx+ysrL47bffuOeee07ZlmaRB0UpZRaRqcB3gBF4Vym1WUSeBlYrpRaLSH/gCyAEGCsiTymlGmYepAlpiCy3v77xT7b//BVXv/stPkEh9X79Ksnah6z9EBXVG7qOcz1mLoFDayGiJ3j6uj29EnmHkLzDtutVgX94BLd9t90RlFqR2JShDHvwBdr2tIU4/fLULRQcSWfse79i9PIm78AeUIoBMaXkBxSQJm0Z+MQsrBYzVqsFMRjxj2lP15sexz82Ed+I2KqnZJQirGQfG9euQnU/g5D4ZNccLlYzGI2grCirQhkM9tMqe1NUQAyYS7AoYd3C9wkI9GPoJRdDPQVQtySUUpfXcFwBtzeSORpNo1ObKZdT4b777uP111+vdf+tW7dy3333Od7f7r//fnr0OIXM5HaahUABUEotwfbNx7ntCaf9VdimfjR15HjqLo7t20FZUUH1AqXwuE0sOKVLPyX8I21iwp6yXkRQpYU2cXJsB4ad32M1l0L7s2p1OdnxHZKThiUw1laUsOLxCl6VSmngRYjY+zltO5g4FNYWQ9FxOl90DflHD+Dh44tSipQ7/knp0TQsYcVkmyIw2BO0/f30DVjNZfR7+iMA2vaz2Zzx93JyU7eTdPENiNHk4gHxN2di2vo9a9//kMi+f3PGw684bAw/+jv+BWkcSriENulLsJp8yOl4meP88imi8mtZ2g1C4gZjFOGmD77Ec8dXtilBGjiRn0ajOS3Iz8937EdERFBYWFhNb1dGjRrFhg0b6t2mZiNQNCdPTcuAx/1rNmOKX8fTz7/qTkXZsOLfENoB+tSTMvfwruQ5kfWfQP4h1IBbsFrOhmq8IQBpf//OL688wehHXyaiwzmovEM24fH3B1jjz0SFJlU6x136e8cHvYc/SowEH1tDYNZGjCNGkucZ4Uh97xUQjNHHn1TsmWjtq4DCgrywmI3k79+NuaSQoKTumEuK2LPoXYqOphNz1lh8wiMd41itVvKMIfh2GknPy30I7TkUOPG7shh9MJt8UWLA4uGH1ejjdmWSO/ER0nUIhs4Dbflxjm6BoDjwDqiyv0aj0bREtEA5DTAYjdWLE7B5TsI7Q1j1NXlOmbadwScE8QlBJQypsfvhzWvZ//cfHN21mYjOl9uKER7bjuSkIbntOXq8hG0/fsmAa+50CbR1h4iQnXgRVqsVU84+ikoyKfW0TamtfuNJMndsYNjMDxAPT4dIMBcXImKg290voawWvn/0ZkqzjzHk1a84+OtXFB1NJ3rYRZh8/bGUlWLwcvI+iYEM3w60uyAZo9Ho4h3JDOnNypU7CDi6AjljLJ5lOYRteY/iyP6URvSpJFIqooyeyPE9sOFTWz2l7pfU5ulrNBpNi0ELFI0Noyf0mlRvl/v51Sfw8PZl6M0nqhZYSkvZf8RMfMrFiKHyktyKKKXof9XtJA09j7AEp9T34Z2wDLwNfEJZ+cQtbFg0h8guvUkaep5DAFSc4qlY/bfYL5ZCn2hbMUGzGXNRAWWFebZikiKU5uWQe3AfK/91B0ZvX4a9/AVWrCSOu57SvGyMHp606XsWJVkZRJ01lhWPXoWI4NMmir73v+yYMqooNMpfl+Tn8td/niIgOp74weegrBYMljLEUlrJk+J8Ty4ekqB2qLjBSEQ37TnRaFo4rf1/+GQSfmqBoql3lFKs+ug/ePoFuAiUFe+/zC+vTmfsP9+m9/iaKx+X/7O6iJNyfMMAOOu2x4jtPZjEM86p9EHufI3y/Yrt5T/PePBFLBYLVqsVi8XC+nf+j8Orf7Xdj/VE0cGowec6hIZ3WATJk27nyOql+LSJIj9tJ3mpeeTs2UJ4txSKs46x9tWHaTf8IhLPneB4NlarFU+/AM6a9m/8wmx5Asq8QjnS9UZMHh4YqN0/szJ6IMnn2pY3b/0KVZwLfa4ADK36jU6jaW14e3uTmZlJWFgt8yC1MJRSZGZm4u1dt/hGLVBaIerwRijKQmoZfFrfiAj/WPAnhgpZDZOGnseR7RuJTxlab2MFRbWj9yXX1viBXtGDUr7v7G0xGo3kpu9hx9dzydiwkrZ9zqQo+zhefoFs+/g1Qjr2JqzHAMTk4Tj/0J/fs/395/GLaU9A+67k7d1C5saVhHdLoTQ/h7z03eQfqJyvRClFzIARmExOgbVOy6XLf7qs+qnuG1beISjOAWV1qXPkGC/1DzB511z7SdPgHDp0iLvuuovvvvuOyMjIpjZH0wyIjY0lPT2djIyMpjaF4uLiOguJ2uDt7U1sbN3WuWiB0hrZsxQKMlGx/ZF6yD/iLui0JsLiO1Rqi+rSm0tf/KjOY0Nlj0JVNlU3xeO8X56nJGf/bopzcwhJ7s7uHz5n9X+eIrRzb0w+vvS88RE2f/Qqh/78AYD0n78geugYOl11Yn3/oWXfABCQ2JXDy7/B4OFJzPBxKKUIiE1k+Ctf4uUf6Ha6p/xnxc2dKHEWJ26FSr/rAYW4qV+krBbUju/B008LlGbAjBkz2LhxIzNmzOCNN95oanM0zQAPDw/at29fc8dGYOnSpXVKR9+Q1LaasaYl0XMS9LuuXsRJs8ZiRlJ/h8JMt/VoDqz7k3ULZru0b1gwm48mDSbnwD5EhJ+fvIXvH74ac3EhIYldCO/SB2U2U5JznLKCXDpffju975hJl+seJCS5O30SfTBu/IbDK77HXFxIWX4uQR164OkfhG9Me5In34FPmyjMRbYsjGIwVPKMYDUTf2gJiemf0+bob67HcBUvVR2rhNEDMXm5PSQGoy3Ta5/K2Xmtm77A+udbtpwsmgbn0KFDvPfeeyilmD17ttvCbxqNxob2oLRCmlHK8XpDRDi+fy+//vspzrjxPtp27A5ZuzHs+RmKjmPtVLkmza+vTefghr+IHziCoJgEAIpzjlOUlYGlpBiAXlfcTt6RA1hKivHw9iHpvIns+/Ubki64HL+IWMpKivEJi6BtnyEknXEWvYpX8NrTs8g7lsHAjj0pK8jFXJhHzq6N9J/+Dv7RCez+fBb7f1pI9NAxHPj1KwY+8m/Cu9i+kSilEKUwWYoxqDKM5iIAPIsysPiGo4zGKqd1avSiVPf8gqsonFmSZ9tUqykS3qyZMWOGI4FgSUkJAwYMACAsLIy+ffvy/fffA7bU4nl5eURHRxMdHU1MTAxt27attoicRtPa0AJFUytOZprHHaWFBXx6xwTiBwxzCaCtDakrf2HTN/MIT+pC247dkbBkrMmjUWHJDhvhxIf3yAefI2PXFkLaJdpW64gw6KaH6HfNXbb8IxYLHc+bQFlZGUvumUjWni2EJvfg2Na1FGYkEt5jEAf++J705d8wcNp/CGjfhb98zib5+jaU5Bzn8B/f4R/XgYSx11J0eD9+UfEA+LSJxjciFt+2MfhFxpJ3YC9bP36NPjc/TlB8MhYxsSt6HIf//g3fsAji8/cTcfAH8kO7Uxh7ltvpnqpS4Du3nYyAkb5X21YuGZrmg09EjEAETu9FSqm0JjGmgSn3npSWljraPDw8uOeee8jLy3Opr/LKK6+wevVql/MHDx7MH3/8AcA999xDSUmJQ7xER0eTlJREhw6Vp1Y1mpaKFiiaU8dSZssO61VDrhWgtCCP/ev+xORV9+mnXuOvJTAqjrgUe/4Ug9FWQVcp22an/EM9sktv2nbqCWVFeB/4k6LQrli8gjF6eGI2m11iO9qPGIuHrx9HN6+h3dAL2L98CaVpmxnc2Y+/CgfiG2nzQCgxENKxJ1arlYPLvyZn10aOb/iT9hdd5xg/ZthYEs8aRZnBhzY9B7J1zsvk7ttO4bFDBMXbxFRJfh7L/u9OAqLiiHprEUU+URzbvZ0NXy+j37X34O0fWOfnczLYgnObTJzcga2OzhGg3IWjgGrz94vIaOBVbGUx3lFKPVPheBzwARBs7/OwPVN1k+LsPSlHRMjPz+c///mPS/uKFSs4evQoBw8e5MCBAxw8eJCgoBNlMNatW8fGjRvJzMx0tF166aUsWLAAgJSUFLy9vR3iJTo6msGDBzNkiO1/p6CgAD8/v4a6VY2mXtACpRVQX96Nk+Hw1vX8MuMfnH3BYCIum1lj0Tj/NpHc9eNOPH1rFjMVMRiNJJ15Tq3u1TlI1pi1G89Dq7EqKIo509G+9oOXKclII2bEBOLOPBf/iFiObVtP7OBRdLtiKsF+RhJzfsN34MUcMQVhtVodnhgRof2461n30gOkffsJUUPOx7dNNCJCoDWbHqWrOWhK4MdlP5K1fR0dLr4B7+AT6fmPbPgTlKJNl74UFBRTtGkDO1atZt0f64jsOZCkoaMreU6qmvYpv98WyF1AJ6VUZo097dg9Lm8Ao4B0YJWILFZKbXHq9hjwqVLqTRHpiq2ERkL9mX1yrFixwsV7AlBaWurwijhjMpkcwiIlJaXS8V9++QWwrbg4dOgQBw8edHhglFJ06dKF9PR01q1bxzfffENBQQF33303Q4YMoaioCH9/fwIDA12mkCZNmsSYMWMoLS1lzZo1REdHExUVhaenZ53uU69S0tQXWqBoTon9f//BrvUbSe7Tk4ha1vDxDalcR6cuVJfKHlw/tEUES5uuFAOlgQkuwmXX9/MpOJ7Jpm8XERjbntEvzuei2T+y89vPCO3Yg2LPIDaGjrEJAouFkuxjLHtgEoiB4f/+mqwtf2MtLcYjMATfNtGO8UvEi2zlz4KZM1FefvS46TH2fvMRu7/6gNFvf09W+h7Wvfe8LUnbsDGsevv/2Lv0Ky6bMon9x2Hj5++SOOQ8l/upbjrH3esWwn4gp47nDAB2KaX2AIjIPGAc4CxQFFDuggoCDp6infXC2rVrHftLly5l+PDhp3xNb29v2rdv77ICRESYM2eOS7/c3Fxb6QZsZRieeeYZDh486PDQLFu2zCGE0tLSOOOMMxzntmnThujoaKZPn8748ePJyMhg4cKFLt6Ztm3bYrAXu9SrlDT1hRYomlMi5fKbiek1gKiufcDQPBaFVRIwBiPmNt1QFovLVNDFL3yA8eBa5jz5T3LT97L7h89RYmDjnJexlBbRcfyNAOxc9D6lhbnEDL0QZbGtdrFazMSfNxE5uJmQjj0IPvA7npHtyTDFUCI+LN9rIudAGkYPD2L6DAKrmaKjBzF6+1Kal03x8Qy63/4Ukb0GYTQY8PTyxGfU3Vh/vpHcA6m1y33S8tkDLBWRbwDHUhal1EvVnBODTdiUkw4MrNDnSeB7+xSSH3BOVRcTkSnAFLAVSFu6dGkdzD958vPzG20sdwwcWPGR2Vi6dClFRUU888wzHDt2jGPHjpGZmUlmZia7d+9m6dKlrF27lnvvvdflPIPBwIwZM+jUqRPvvPMOSineeustUlNTCQgIwNPTk/PPP5/IyEj279/Phg0b8PDwwNPTEw8PDzw8POjevTu+vr7k5OSQlZXlOF7ex9vb2yGCmpLMzEymT5/O008/TWhoaFObU+809d+mM9JUUwONQUpKiqoYaNZaOZnfY2Od0xBUtKNiXhHAMSVTvm+xWByZXC0Wi+P1j/+8g8MbVjHmtc9RCDv+N5+4YRfiGRiC2Wzmq6vPRFnMDHjk3/hGJWApKWLze8/RtmtvLFt/ISMjh+yMYwy/+Hwsw27B0y8Aq9nM0U//xeZffiHhjOF0vWUmBoMtw6vJZEKVlmDy8cXDwwOTyeRIFGfAJkg8vLwxmUwYDAYMBgNG++qe8n7OniB3uV7KXzcVIrJGKVV5bsK1z3R37Uqpp6o5ZwIwWin1D/vrq4GBSqmpTn3uxfbe9qKIDAZmA92Vqn6pUmO+X9SXB6UpMJvNHD582MUDc/DgQa699lpeeeUV/vvf/zqKb3p4eNhKR9insgYPHsy7777LjTfeWOm6GzdupHv37rz22mvcddddlY7v2bOH9u3b88ILL/DPf/4TLy8vvLy88Pb2xsvLi2XLlhESEsK7777LggULHO3l2xtvvIHJZOKbb75h7dq1Luf6+Phw9dVXO+zIyMhwOe7r60tioq1O2ZQpU3jnnXe45ZZbKsUOtQYa+2+zuvcK7UHRtEhqE3dT/oHtnLjNud1gMGC1WhnxyCsOsWI2m+lyyQ0opcjYtp69Py/Ct20UhUcPImIASxkrZ9xMaV42YjKRtSMN/5AQgtslsPSL/xG86QCFR/bT/5E3aHvR7WRl5RPUa3gl20w+J+IFnL0kBpOHYz/vcDqbF39En8k3E+RRgqngCJbYge7r8rRAyoWIiPjbX+dXfwYAB4B2Tq9j7W3O3AiMtl9zhYh4A+HA0VO1WWOLj4mNja2UFbR8lVK5OCnvu2fPHiIiIhxtkydP5txzz6W4uJiSkhLHz3IBcP755xMREUFJSYljKy4uJjzcNjXcq1cvrr32WpdzS0pKHLEyhYWFHD161OX8kpIS3nzzTQC++uor3n77bRfbnQXKM888w8cff+xyvG3bthw5coRDhw4xe/ZslFK8+eabvP/++/j4+NC5c2d+//13AG6//XY2btyIt7c3Pj4++Pj4kJyczIwZMwB48803ycjIwMfHx9GnXbt2nHeebVp35cqVWK1WvL29HccDAwMd3pqG/L9vbvFDWqBoWj01iZmjW9fhHxGDZ2AIK157nKMb/2LUi/PZvug9Dv5lC0YUowkPvwBQCqvFTPSQC+h0xZ34H1rDd88+SXBgEDHDL6IkOxNLWSnKasUjqA097nrRMY6vOYsyoy9QOUDYnX1blsxj1Qev4N8mijO6+WPMS8calgz+bdzeR/aBVEoLconoVO0imGaDiHQH5gCh9tfHgGuUUpurOW0VkCwi7bEJk8nAFRX6pAEjgfdFpAvgDTR9DvFWjrtVShaLpVIsiq+vr8uS6ookJyeTnOym/padUaNGMWrUqCqPT506lalTp1Z5/M033+Tf//63i8BxDl6ePn06U6ZMcTlenn9mxowZji82RqORjh07MmTIEEJCQhzn+/j4YDQaycvLIyMjg6KiIoqLix3HZ8+ezZo1a1xsGjFihEOgXHnllezevdvl+NixY1m8eDEAMTExZGdnuwicSy65hOeeew6AceNsmaydj48YMYJJkyahlOKFF15wET/e3t507dqVrl278tRTTzWr+CEtUDQtlppyfjg8DVYLXls+xeoZQHH7c12mRjYv+oDfXn2ciO79ueDFT0j/80dK83LI2bed7lfeSVjnPhxctZTMrX9TlpdNYLskznp2HiumX0/6py/R7pLbCU3siE9CNwqOHuLYut/xj0tmzQv32qaE2kTZxqeIznnLyfVoQ2qo+xpJ5d6Uvcv/x+p3X+TsB5/D/+EX6TJ6AiVSgrH4OMo3DHG+N6d7/+SWcWSm7uLBFYcc6fWr+qalSvJRf89BonoiCWfWzy+k7swC7lVK/QIgIsOB/wJnVHWCUsosIlOB77AtIX5XKbVZRJ4GViulFgP3Af8VkXuwBcxep5rL3GQrpi6rlJoSEXHEvfj7V/6y0LFjRzp27FipvaKHyGKxsGPHDr799lsXb8MLL7xQ7firV6/GbDZTUlLiEC/OsTUfffQROTk5jmNFRUVER58Iwp86dSpZWVkUFRU5+sTFnUjEePz4cfLz813ODwwMZNKkSZSWlvLggw9Wsunhhx/mzjvv5IMPPkApxXvvvcfjjz/e5F4ULVBOY05meXJTLmmuK44PcBQrFi7AN7QtHW85z0WgWMpsb6gR3VMQEUY//wkb33+W0mXv8MuPf9Lr+gfoMuEmUpd+hRgMbP7wJUI79aYo8yhpfy5l59If6HnLdNr2O4uja3+jND+H7O3rASgrzKP0SAnLpk8hbvhYoi45hzwP1xVMRzas5PDfv9H7mrsx+tryUuQd2k/2/t14b11I/zPPp9jLB2UKwOLXBqnw7AsybbMWAW0iSbniFrL278XTr/ql3oAtb01BBqowkyacJPIrFycASqmlIlJjcg57TpMlFdqecNrfAjSZ6jpdaYhVSs2J2nqIaoPJZMJkMrnNRTNo0KBqz3300UerPb58+fIqj3l6elYSL8XFxYSGhrrc38neV32jBcppiCrNh+x0aNPppM5vaSKltKSUpV/9QkBENB1vcc2R0m3slXj6B5J09jhEBJ+QMPatXE5WWBDeAYF4+PrTtscAwrulsP79F0j98XNCOvWm46ixWEsLSV2zmoIj6QC07TOEsK792PzecwS270xQfEcSD3zFWn9vPPyC2O/fyxYkqywEFB0k3yuKnUvmkf7njyScdQERXW3p8HtOnEK30RcTdfRnykzVJ7R7d/IQzCXF9LnsBvKOHGTc/71TuwyyfmEw7EEw1S3HRT2zR0QexzbNA3AVtpU9Gk2zo6V4iKpDRPDz86skjCpmOS4tLW0WXhQtUE5HdvwAh9ZB32sgNPGkLtGcRIqzLe7SwXv6+nH5O0vw8PWvFCi77pM3Wf3hq/hk7aBPSjLWdmMZ9cwHeAWF4R8VR1lZmeNayWOvwT8qnu3z/4OltJjSvGwCEzqxe+F/iR40Ep/wKAw+fvS+zbYIZf+vX7H8i1lcOPV2CjqfqBUUUrSPmLx1HPXvSr8pj5B83gTCK8SNeIZEkdPmWlswL27S2FvNKBE6n3Mx5tISdvz8NbmH07GUlSKeXpWfg7kURBCjx4nn5lH/JdXryA3AU8BC++vl9jaNptnRmj1E9ekdqk+0QDkdiU0BD28Iiq25bwunXLzE9h6E1Wp1WYYsInQcNZ7ivGwSu3XEYClCUET2GIBSCovFQsHh/WA04hsexZ/P3kVJThaWkiK8wtpSmptFaOc+hHfrj09YxAnxYy3DVxWQl7aTwtxc9hSHEukkGDau2siaDT9y/iWK/LhkAvoPc2t7lTEkSmFa9SaYvBn10HOICEU5x7GUlmDy9Kp0DVCo318FTz9k8G0njlnNkHMAguOaZDWQUioLuLPRB9ZoNC40V++QFiinIRLcDoJtKzWbixfkVCkXIsV5Ocy//RI6nHU+g29wTSaVlbabxQ9fT/9r7iR5pC3SPSyxM2fd839YLBYyrBawWBF7xk1ltfLD/ZPw9A/igrf+R1BCJ0rzshlw3/Mc2fAX2+Y8T0Lf/ngn93d5jgml22hbls4Ggy0xnLJ/MykXAXt+/ZZjW9YwYPQ5WA0e1Dn1lAjKLwI8Tkz/+ASFViMyBAIiwdM1IFDtWQZ7liI9JkBU4638EZFXlFJ3i8hX2IJYXe1S6qJGM0aj0TRb75AWKKc5pzJV05jTPO5S2bvrU5Kfw6HNf+PfJqrSKpeCY0c4umMjmXu309EpD0p5TpS8jEOsnfcWXS++Dr+20RhNJpIvuByTj22+tv/Upx0emLju3Rn9yDXkmSxsNxhcbMoyRWLESvJlQ/Hv1J9933/K1o9f4+zn52P08GDAXTMpyTrG8aSumAwmtwKlpudq6TEJoFbiRkRsVYsrtocno/KPOsRqI1Iec1L9cgeNRnNaowVKK6GphEZDixR3XoHqxgyKiuPOn3bh5RcIxTmovAx2bdxG/IBhtOt3Jrd/vwPv4DCXBGnlY+z+9Rs2L3wP39C2dL/sJkSEPtfd55juKR9z28LZ5B/eT+CVEyn0CHGxUylFrmeEbUvdybr/PIlPWFtb/IvB1sc7OBzf0La1fgbOWXKd2051WkaC2yG9J5/SNU4GpVR5EojeSqlXXWwSuQv4tdGN0mg0zQ4tUDSnTEOJlOo+gKsb0zc4zNZnwyI2fPsVX32yhKG3PsoZUx7GL6ytQ3BUDJjtdtHV+ASHETtwpEumWQBLSTGHN67EUlxM6s+LKMw4xNYzRxPerSMGp7gWZ3xC2xDWuTexQy8gfvjYSqnpy1Pfn8ZcC7xaoe06N20ajeY0RAsUTb1QXyKlLh/Yzl4Ld3ZYYwfQfoSJ3qlH6NrO5HJtY1kBVqsZq2egQ4x4+frRcdQlDm+JUgqDwcDaD15my8LZGL18MBcV0v3KO9g451WwWlymiSomT/MODuOMx/7jsKuiOKkLNSWja0mIyOXYsr+2F5HFTocCgONNY5VGo2luaIGiqTdOVaTU9wetRHQlILwjY73KsPqGY3E65rXxI8RSQlHnyzCUFVEa0K6S0Cn/6dc2Cv+IdnS+5AZMPn5EDxhB4nmXYfDwqiRKnAVD+c+yglyOrP2ddmeeh9HDs9JxZ+HSUM8CQCkrHN4IoYmIVy2SuTUcfwCHsNXHedGpPQ/Y0CQWaTSaZocWKJp6xZ1Xo7bn1BmrBcoKEa+AKr0oGIxY+15nEw5OfSxtu4OlFO9dXyMluZT1uRWDwQOr1YrBHvRa/rPzmCtIHj3JVgHZXMbmz2YR3jWFsM69HeNVFCnO97Xr64/YtfhDRISE4WOrvHe38TbmEgK3zsUcFE9Zh/OrfBSlhflYzWZ8g6su/64ytsPGzyGmL9Lt4ir7NTRKqVQgFRjcZEZoNJpmT51XOGpaJ/XuvXCa0qhpO2l2fgfLX4Lcg5WuVdFLUdEuS8IwzInnUBY/nJL44YjJyzHV47ytmvUv1n/8uuN1bupONs97k+2L3qvUtzympOJ+wohxJF90DdEpZ1XymlS0++DaP/j+iSnkHz1kb1FgT9dfjjvx9+G1o3jj/G6YS0sq9XHsH9tl+xnS/uSedz0jIoNEZJWI5ItIqYhYRCS3FueNFpHtIrJLRB6uos9EEdkiIptF5GN3fTQaTfNGCxRNvXJk+0ZeP78bm//3WcMPFhANQTGV8nu4oyohZAnvRFlkX7diwWqxsOPbT9n53QLHsbDk7pz5wAv0/cfDjuu6m6pxCKGyUvyj4uhx1V14BQQD7oNjy1+nr1pG6u/fk7nLVtBXmbzJ7fUPihNHV3lvSina9T2DuP5DMZo8quwnwe0gKBYJTXA931yC9c+3se78ocpzG4jXgcuBnYAP8A+g2rSVImK09zkf6ApcLiJdK/RJBh4BzlRKdQPurnfLNRpNg6OneFoR9REDcqqBroXZmWTt30POwbRTuk6tiO5t26rAXWxIxaXF5f2c98undpTFzDlPvklQuyQXAZNw1gUugbTguhS4fH/Hl++zZf6bdBx7DUZvH7pOuMkxhjsPj4jQ7/p7SBw+hsiufaqNUanIeY+8WGM/ie6NuHteljIoPAbeQdWO0RAopXaJiFEpZQHeE5G12MRFVQwAdiml9gCIyDxgHLDFqc9NwBv2TLUopY42jPUajaYh0QJF48KpipT2A4fz4J9H8PIPrEerak9V9lcVyFp+zHm//PVvLz/Kjh8WcslbX+MbFuG47v6VP2MuKWHb4g/pd9OjBCV0dKljUX6+d1AoPiFtSFu+hOLsTDqOvQpPH79qg2RNnt5EdOltWwV0aCWmokyKOowBjPX4lCo8Gy9/OOsBMDb620GhiHgC60TkOWyBszV5dWOA/U6v04GBFfp0BBCR37E9uCeVUt/Wj8kajaax0AKllVEfXpBTpanESU3UJF7K970zNmDxDKTdgOEU5+XgHxHrEBHHdm5i6dO3Edguidz9u8lJ20lQQkewWvjhwSvwj2zHoPueByDh7ItpP3I8uel7KCsswNPHz2VM558V2wE8c1MxFmVSZCmDaqZu6gNpmqrGV2MTJFOBe4B2wKX1cF0TkAwMB2KBZSLSQymVXbGjiEwBpgBERESwdOnSehi+ZvLz8xttrKZA31/LpTndW7MRKCIyGluCJiPwjlLqmQrHvYAPgX5AJjBJKbWvse3UNH+cVxJVXFXkdqWMc/xJaSG++5di8Q6l83lXknzOxSilHIUGQ9t3ovvEKUT0GoxfeAT+UfG2Y2LAXFSAuaig0hiBsYmOuJO6BAzndhiHUVnB5FoAsL4Dmp1RpQVQlI0ExTTYGI6xbKt5AIqxVTWuDQewCZlyYu1tzqQDK5VSZcBeEdmBTbCscmPDLGAWQEpKihreSDVImlO9k4ZA31/LpTndW7MIkq1N4BtwI5CllOoAvAw827hWnj405AdgU1JV3Ed53ImIgKcvBR3GUtT+PLerejy8vOl/44PE9DmD4HZJjvadSz4GhI4XXoXRaKy01SRQ8g+n88UtY9jhFJArJm+UZ2WvS0OiNi1ErXwbVXCswccSkTNF5AcR2SEie8q3Gk5bBSSLSHv79NBkYHGFPouweU8QkXBsUz41XVej0TQzmosHpTaBb+OAJ+37C4DXRURUU89naJotFaduKv6pVNVmCU22eV8qVCEu3y/fyj00pfk5rHvPVvcu/1BalV6bgML9eJblkB1SuXJwcc5xsvbuIDttV4331JBIVG+UV0BjBczOxja1swZc8uhViVLKLCJTge+weVvfVUptFpGngdVKqcX2Y+eKyBb7dR9QSmU2yB1oNJoGo7kIlNoEvjn62N+kcoAwwOWrnvOcclxcXEPZ26ypjziUih+yrYXarOhxFiDOSdugcuE+q9WKT1AoA25/Eg9ffxLOusBtcT8RITR3E56lWeQFdwKD34nxgLjYEK6e/xs+YdHVxqWcKirXll9FAqPcHpeoHkhUj3obrwZylFL/q+tJSqklwJIKbU847SvgXvum0WhaKM1FoNQbFeeUm9gcTQNSGxFVMR6l4goepRSG7H1QnIMloqeLYCkXJ+48IhWFS+cxl7ssMfYozcGvMJ2cwM4og20FztG2Z2G0FIKH60oe7/w0/Hd9jXdMXwoMsY52Z1vqS6So1e+CAhk5rV6ud4r8IiLPAwuBkvJGpdTfTWeSRqNpLjQXgVKbwLfyPukiYgKCsAXLahqQ5rAqyB27ln/H1u+/4LxHXsDLz1ZX5mTsFBGMu75Dio5jCU1GTN5VTg25Wxbs3O5MSM5mAvJ3czyvlEKPcAKi4jB7BWMmGHE6T0RY9tH7bFk8l4mvfkRIu3rylhRmovb8Cu2HIv5tT9iaNBJoNr/Pci9pilObAs5uAls0Gk0zo7kIFEfgGzYhMhlbtVNnFmMrz74CmAD8rONPGpHyQnMhCU2S0AtchcCGLz9i05JP6XvZjcT2GuByvDZ5UJzbLJ0uhJJcDF5+jsrEFb0sVe27m/JRSpET1ptSnzZ8dfftFOccZ/JnqxCDya1nJDA2iaC4DhjbtK82R0pVzwJg0zfziO01kNC4JFvD8T1weAMERICzQIkfVPUDbmSUUiOa2gaNRtN8aRYCpZaBb7OBOSKyC1tJ9slNZ3Hzpz49HyKCytwLm7+AqF7QbXy9XPdUOP+xV0m5/BaHOHGhrAhW/AfCO0DXcZUOV5r2CY6zPatqPCVVTf2UC5pyTOYCLCY/rF5B5HsG0uG8CZTkZjtS0LsTKN3HX0f38dc5pouqmtapSqgcWL+SRQ9dT6eRFzHp3/YSA9F9wTfUJiibGSJylVLqIxFxGyOilHqpsW3SaDTNj2YhUKBWgW/FwGWNbZfGTkgctD8L2nZp9KHdfTD7hoQRnzKkihMAgwGk+lX0FUWcs3Bw1+5uWsf5mGdeGuH7vyUnvC+5YX0oycvm+K7NJI4Y67a/wVyIR1EO5oBYt54Td8/A3bOI6taXs25/nKQzzznRaDAiYR2qvf8mpHztdECTWqHRaJo1zUagaOqfevWiGD2hw0ig8Vb2nGxgqHj4wlDbl/OKQqO8raqAWefXzit3nPetVqvjdfl1lVJYvYIo9WlLmXcbDAYD+YfTSfvjBzz9AvAJCafw2BGSzr7IIVBCDv+Gd14qmR0mYvENd+uxERHEasZr81xUQAzmpFGVnovRw5Ozbn20XgJp1cF14BOMNKDnRSn1tv1nbZOzaTSa0xAtUDR1pjECZ+tr1UpdbHUXn1JR1JQfc94vyc+lMPMoQe0SyUwcb+sLtO3ci/GzlhAQGceiWy8k98A+2g0YjndgMCJCYUhnrB7+WLyDT1zTasFUkoXV70TcCMqCoTgbq8ETygrBq+bqzSeDKi1AbVoIfm2QM+9okDGcscec3QEk4PRepJS6qMEH12g0zR4tUFo5DSUmGlKk1Gfej/LrVfSkVBUwW3Eap6pcKc7LjH/65x3s/+tXJn/0KwGR7Vz6hSXapsSG3PN/FBw77BAnIkJpYHvMwUkuYidn2RyMRzcRNvoOrKFJ7PntO8ISOmLscyPea97Gc/OnmPveUOfnpJQVDm+CsCTEKTuty3Py9IPul4B3cK2ve4oswhZb9hVgrb6rRqM53WgWqe41LRN3sRnN4VpVXb+6cSva4IgTsaeod/7pvG8pKSJj2wb82kThHx6JwWBwpLYv34qzMlj6r3vI3b4K/+ObbOLGYqYkN7vSOAuee5YPX/8Es1cIWWm7+PK+K/l+5t3g4YslvAvWNicZA3R0G2rjAtTuX6p/TtG9kdCEkxuj7hQrpV5TSv2ilPq1fGuswTUaTfNGe1A09cLJelQaSpDUZlx3XhV3fdz9LN9XCoyenkR264OHt49j6bGLR0aBpayEzM0rWf7qNlIen8vPzz7Ivt9+4Iq5ywiMOuF1GXLHU5QVFyK+IQT7BDP4poeI7pECYsDccYxtbE7iuYUmQvyZSHSvU3ls9c2rIjId+B6dqE2j0VRAC5TTgMaIGSkfxx3VVRJuTKqb6inMzmTT1/PoPvYKvPwDgcpxJ86k/bWUpS89yqhpr3L9F3/bgmTNZsTuCSlftrzl64+J7j2Y6xdvZOGU0axduZGepRbadOpFYWYGXgFBLmN0HXNi9bzBaOSMKQ+5XZpcm3t1ee3hjXQ67ySeWoPSA7gaW2K28ikenahNo9EAeorntKEpxUFDTt3UlaqW7/792Wy++9d9bFg0x/2S4ApTPHlHDpCVuouCY0cwGAwc+Ps33hyZwJav5jr6HN64imUvPsyqd5/HYDBwwbMfMfHdH/AJDqXflbdzyRtf4G0XKC6bsuCd9ivGnNQqlzfXdF8thMuARKXUMKXUCPtWozgRkdEisl1EdonIw9X0u1RElIikVNVHo9E0X7QHRXPa4c6j1Hv8tVjNZnqMvdzRByovUy5/3fPia0geMRbvwGCsVise3r74BIc5vC8iQmSPFAbf+hhxA4YjIviGtcUvPAKsFjyz91AW1B6MrgncAIzFx/E8vAZzSQ6lIe0d4yurla8fv5ng2ASGTX3Cxc4WyiYgGDha2xNExAi8AYzCVlR0lYgsVkptqdAvALgLWFlv1mo0mkZFC5TTiMaa6mmuKEspIIhdFJQjIviHR3DWrY+6pK8vP+YOg8GAb3CoYyVPdM8BTPlmM1bricUoHp5e9Lvy9krX8jq+Bb/9SymKPoOS6AEuHpvs/XvY8eMi+l9wPp7hCS7HzCXF7Fz6DSFxiQyb+kSdpnxOFqUUmItsuWXqn2Bgm4iswjUGpbplxgOAXUqpPQAiMg8YB2yp0G8G8CzwQH0arNFoGg8tUDQtEpWdBgFRlcRGlf2VFX57DTz9YPCt1caj1BYRwWqxkL7uT6J79Efsq3eqEjjl1zeHJFFSfJyy0I6VYkvWfjqL9Z/N5si29Vzy0scu1/Dw8WXKl2vx8PFBirJs2XJ9QtyOVV+onT9A6h8w4CYkKKa+Lz/9JM6JAfY7vU7nRNFBAESkL9BOKfWNiFQrUERkCjAFICIigqVLl56ESXUnPz+/0cZqCvT9tVya071pgaJpcagjm2HDp9B+KHQ4p+YTABAIjALPE56Ak/EoVZz6Wb/wfX585j6G3TWDflfeVtlWpSjOzeKrB64mafiF9L38FpRnAMUJIx21f5wZcO3d7Pj+C/at+BlLWSlGD0+XcQPaRtky+S9/DpQF1WUcRPWs0z2U21WrYFu/cJRfG5fnVl80xJJiETEALwHX1dKGWcAsgJSUFDV8+PD6NsktS5cupbHGagr0/bVcmtO9aYFymtEqpnkCY6BtVwjvWOtTRAT6XOm2vbpkbVVR7imJSxlK8oixJAwazpq5b+AXHkmncy9xuX5ZQR5Ht60nKCbekSLfmJOK744vKG5/LnkekYjRxM6fF4NSXPnhz5hLijB5ep2w3eknIqjwTsjRTUhBRu3u3QmVusLmGel/Y41eEYnpi8T0rXGMk0FEBgH/BroAntgKhRYopQKrOe0A0M7pday9rZwAoDuw1H7fkcBiEblIKbW6Hs3XaDQNjBYopyHuAkBbEuITDL0mNcy1a5j6qShgwhM7cfELcygtKmDZlcMIjGxHl9ETXHKhBMe256avN+LpH3hCbBiMYPBEKeH9iYPxCQ6l4NgRrBYLd/92oMr4EkcOlm7joeN54OFLnSd2DCYwetZYTLEReB1bVfLPgBTgGqAm1bkKSBZbmvwD9vOvKD+olMoBwstfi8hS4H4tThqHuXPnMm3aNNLS0oiLi2PmzJlceWXlLwYaTW3QAkXT6qjkMahBiNXkVXLnZak4jqePHxPf/BKvgCCXfuV9fILDXK5pDYqjoP9UANqfcQ4+QSF0Pu9SDqxfyY6fFtPpnHEu44vYav6s/Ww23S+cTGBEDHj6IRvmgdUMfa6u8v4r3U+7/ki7/tX2aSyUUrtExKiUsgDvicha4JFq+ptFZCrwHTaPy7tKqc0i8jSwWim1uHEs11Rk7ty5TJkyhcLCQgBSU1OZMmUKgBYpmpNCC5TTmFYx3WNHRFC5h1Bpf0KHkYh3oMsxqF6oVCU8aptkTkSI73+Wo7+7Wj9VMWbG244+X9w9meL8HDqNPOZI+lbOtu+/4JdXHmfTN/O46J+ziOrWF4pzwFJW6V5bCIUi4gmsE5HngEPUIjeTUmoJsKRC2xNV9B1eD3ZqasG0adMc4qScwsJCpk2bpgWK5qRoch+vRnOqOATIkc1wcC1k7a2yX3Uf4O6OuTun4sobxz7guf1LPPb8cCLpmrkI782f4HFkfeWEbBU2gAtn/peLn/sQg9FYaYyu50+g+4WXk7FzM1u/X2gzpv8UGHR7SxMm5VyN7T1oKlCALbbkkmrP0DRb0tLS3LanpqaSmZnZyNZoWgPag3Ka06q8KIlnQUg8hCVV36+W91xVPIq717Z9K4bsVJSnn+OYwVyEIfcAyisYInu7HcN5v/0Z51QpNjx9/blo5n/pPmYScf2G2BoreFlaGBcrpV4FioGnAETkLuDVJrVKUyf27NnD/fffX+3/VGRkJOeccw6TJ0/m4osvJigoqBEt1LRUtAdF0yI/4Cp6HgDE6ImEJyO1CP6s6p7deUsq/qxqMxhNlPW/hbJe19heGwzg14aS/rdhTj6/cn+7uCjOzWL/mt8qe2aUBdO2xcihdSfaDAY6DD0PT2sBUnT8pO+zmXCtm7brGtsIzcmRl5fHI488QpcuXfj++++57LLL8PV1XY7u6+vLP//5T+699162bt3KddddR9u2bRk3bhwff/wxeXl5TWS9piWgBYoGaPYfZA1CdSKlomfDXbtzm6Pdw8dWmM/5HO9AMBjdTukA/PT8Q8ybciHp6/50PVaajxzdjCFjq+u4SiGr34E175/iE2gaRORyEfkKaC8ii522X4CaVZemSbFarbz33nt07NiRZ555hsmTJ7Njxw4+/fRTZs2aRXx8vC0mKz6eWbNmMW3aNJ599ln27t3Ln3/+ye23386aNWu48soradu2LRMmTOCzzz6rFL+i0egpHo2DljDdc7JCSu1ZCp4BSGy/Stc7mXt2d17F4NraBsl2v/ByTF4+tE3u5not72As/aeAp79jKbHjOvFDwORZo43NlD+wBcSGAy86tecBG5rEIk2t+P3337nrrrtYs2YNgwYN4ssvv2TAgAGO41deeSVXXnml22RfIsLAgQMZOHAgL7zwAn/88Qfz58/ns88+4/PPP8fPz4+xY8cyadIkRo8ejbe3dyPfnaa5oQWKxoXarHhpKk5anFhKUbuXgndQJYFSfl1391s5xqTuCd0k/whYSlFB7arsk3jGOSRWiD1x7Pu1qTzNlLMf2nSCgEj35zRzlFKpQCowuKlt0dSOtLQ0HnroIebNm0dMTAwfffQRV1xxxUn/zRkMBoYMGcKQIUN45ZVXWLZsGfPnz+fzzz9n3rx5BAYGMm7cOCZNmsSoUaPw9KxejGtaJ3qKR9PsqWn1TY3nGz2RAf9A+lxV7Rg1tVeMEal2TPtx06b5mDbMRZS12r7Vjp+1D0m3F+W1muHvD2D9J9WO3xIQkUtEZKeI5IhIrojkiUhuU9ulOUFBQQHTp0+nc+fOLFq0iCeeeILt27dz5ZVX1psgNhqNjBgxgrfeeouDBw/y3XffMWHCBL766isuvPBCIiMjufHGG/n+++8xm831MqamZaAFisYtpyoK6tOOerlOUCzi3+akxqqpXYqyMGxaAHmHKokYa/sRWBNHuo1BqS6mxfn6ht0/Ydj5PRRl27LAdjgHks6u1X1bC49jXfUu1qzUWvVvZJ4DLlJKBSmlApVSATWkudc0Ekop5s6dS6dOnXj66ae56KKL2LZtG0899RR+fn4NNq6Hhwfnnnsus2fP5siRI3z99ddceOGFfPbZZ5x33nlERUVxyy238Msvv2CxWBrMDk3zQAsUTbU0hVCp6sO7scauqb3SapucNCRjK3J8T6WAWhXVC9VuYLWrfyreb8V91flCrN0uRXxDbO1xg5Ho3rWb3kn9A7L2wc4fT/XRNARHlFJbm9oIjSurVq3izDPP5KqrriIyMpLly5czb9484uPjG9UOT09PxowZw4cffsjRo0dZuHAhI0eOZM6cOZx99tnExsZyxx138Ntvv2G1Vu2h1NSOuXPnkpCQwNlnn01CQgJz585tapN0DIqmdrSEANr6orb36ugX1RvlE2orYljh/LrG9LgVHQGRtq0W51Qi/kzIz4AOI2s1fiOzWkTmA4uAkvJGpdTCJrPoNObgwYM88sgjfPjhh0RERPDuu+9y7bXXOgpcNiXe3t6MHz+e8ePHU1BQwDfffMOnn37KO++8w+uvv05sbCyXXXYZkyZNYsCAAc3C+9uSaK5lCpr+L0/TYmhIr0ZTek3c4bIiZ9s3qO3fVjklgwiExCNGk0u7O69LbTwoFcev+LpWwbnl00O+IRj6X48hJK6Wd96oBAKFwLnAWPt2YU0nichoEdkuIrtE5GE3x+8VkS0iskFEfhKRxv3q38IoLi7m//7v/+jYsSPz5s3joYceYseOHVx//fXNQpxUxM/Pj4kTJ7JgwQKOHj3K3Llz6du3L2+88QaDBg0iMTGRhx56iL///vu0+VJ1qjz66KNVliloSrQHRVNn3H1A1vWNoLkIkepweEIOb7LFfnQa7dru1A8qVzp2t9Kn2npAAJYSMJ1YXlnbYNyWiFLq+rqeIyJG4A1gFJAOrBKRxUqpLU7d1gIpSqlCEbkVW6xLw5S/bsEopfj888954IEH2LdvH+PHj+f5558nKan6TMzNiYCAAK644gquuOIKsrOzWbRoEfPnz+ell17iueeeo0OHDkyaNIlJkybRvXv3Fv3/cqqUlpayb98+du3axe7du11+VlWmoKr2xkILFE29UJupjBb75jD4NqB+bK9SwOxdhmSnQvY+VN/rISjW7fM6mWeosvdDYBRiaF7/7iISC/wbONPetBy4SymVXs1pA4BdSqk99mvMA8YBDoGilPrFqf+fQNXLt05T1q1bx913382vv/5Kjx49+Omnnzj77NoFXjdXgoODue6667juuuvIzMxk4cKFzJ8/n3/961/MnDmTLl26OMRK586dm9rcBqGgoIDdu3dXEiC7d+8mLS3NJVbH39+fpKQkunfvzqFDh8jNrbyALi6uaT2v0ppdYCkpKWr16tVNbYamFVDV/4m79tq2OSO/PmPb8QpE9ZyE+IW7Hq/DCiMXEXR4I2rDZ5A4HEOHxvsAEpE1SqmUGvr8AHwMzLE3XQVcqZQaVc05E4DRSql/2F9fDQxUSk2tov/rwGGl1D+rOD4FmAIQERHRb968edXfWD2Rn5+Pv79/o4zlTFZWFrNnz2bJkiUEBARw4403MmbMGIxGY72O01T3547jx4+zbNkyli5dyoYNG1BKkZiYyIgRIxgxYgQxMTF1vmZT3l9ubi4HDhzg4MGDlX4eP+6aiDkoKIjo6GhiYmIq/QwODna8V/z444+88MILlJQ4QsHw8vLi/vvv55xzzmnQ+xkxYkSV7xVaoGhaLKooG7wDqU3tnXoZrw4ipbp2t+Rn2GJZKggTqF6EqOIcW6ZZg9FtX1WYhdrxLZJwJhLceN+GailQ1imletfUVuF4rQWKiFyFrVLyMKVUScXjFWnM9wt3mVYbktLSUl577TVmzJhBYWEhU6dO5YknniAkJKRBxmvs+6stBw8eZMGCBcybN48VK1YA0K9fPyZNmsTEiRNrvVKpIe9PKcWhQ4fcekF27dpFdna2S/+YmBg6dOhAUlJSpZ91Kco4d+5cpk2bRlpaGnFxccycObNRAmSre69oXj5fjaaWqMzdqDUfQOIwpIlXqFS16qdOK59qyNHiDpWTDn+9A3EDodP5trbj+8A31Fb/B2xLk3tfXudrNxKZdhFRnnXuciCzhnMOAM5peWPtbS6IyDnANGopTlorSim+/vpr7r33Xnbt2sUFF1zAiy++2GqnOGoiOjqaO++8kzvvvJO0tDQ+/fRT5s+fz4MPPsiDDz7IoEGDmDx5MpdddhnR0dENZofZbGb//v1uBciePXtcAlaNRiMJCQkkJSVxxRVXuAiQxMREfHx86sWm6soUNBVaoGhaJj7BENQOCWy4N5GKVBdnU9WxijEndR2r2mNeARDczrG8mcJjqNXvQlgS0s9WKFiZSyB9NUT2cIiWZsQN2GJQXgYUtho919VwziogWUTaYxMmk4ErnDuISB/gbWyelqP1bHOLYfPmzdxzzz388MMPdO7cmf/973+MHj26qc1qNsTFxXH//fdz//33s3v3bodYufvuu7nnnnsYOnQoEydOZMKECURERAB18zIUFxezd+9etyJk3759Lllxvb29SUpKIikpiXPPPddFhMTFxeHh4dEoz6S5oQWKpkUivmHIwJuaZuxqPCO1ETGnMq7La+8g6H/jiQafEIgbhIQknGg7shm14zsoLUA6nntK4zcATwPXKqWyAEQkFHgBm3Bxi1LKLCJTge8AI/CuUmqziDwNrFZKLQaeB/yBz+zPLE0pdVHD3krzITMzk+nTp/PWW28REBDAq6++yq233nrafsjVhqSkJB555BEeeeQRtm/fzvz585k/fz5Tp07lzjvvZPjw4SQkJPDJJ59QVFQE2HKF3HTTTezbt49OnTpVEiLp6eku7wNBQUEkJSXRt29fLrvsMpfpmKioqGa5pLupaXKBYn9Tmg8kAPuAieVvWBX6fQsMAn5TStWYK0GjaUhqmr5pisR2YjAhnS9wbYzohpQVQmTPRrWllvR0/l9XSh23ez+qRSm1BFhSoe0Jp/2GjeprppSVlfHWW28xffp0cnJyuOWWW3jqqacID68c16Spmk6dOvHEE0/wxBNPsGnTJodY+fnnnyv1LSoq4rHHHnO8joiIICkpieHDh1eKBwkLC2u5KxmbiCYXKMDDwE9KqWfsSZceBh5y0+95wBe4uTGN02iqoqal1Y7jhcfhwN8QfwZ41H2++FRyoYjJCxKG1HnMRsIgIiEVPCjN4T2pxfHdd99xzz33sHXrVkaOHMkrr7xC9+7dm9qsFk/37t3p3r07Tz/9NEajsUrP6Nq1a0lMTCQgIKAJrGy9NAef0jjgA/v+B8DF7joppX4C8hrJJo2m1tT4rejAGti3HI5tr9M3qOaUWbeBeBFYISIzRGQGthiU55rYphbFjh07GDt2LKNHj6a0tJRFixbxww8/aHFSz4hIlTlB4uLi6NWrlxYnDUBzECgRSqlD9v3DQMSpXExEpojIahFZnZGRcerWaVodylr/VVCrr4dzBnS9CCK619i3rin/W7KAUUp9CFwCHLFvlyil5lR/lgYgOzub++67j27duvHrr7/y3HPPsXnzZsaNG9ei/yaaMzNnzsTX19elzdfXl5kzZzaRRa2fRnGnisiPgLtqZy6J/pVSSkROaeJeKTULmAW2vAanci1N60PlHkL99V9IPAtJHF6v165yJY+nH8T0c+1sKbUFrvqGnvJ4LRl7ivotNXbUAGCxWHjnnXd47LHHyMzM5IYbbmDmzJmOVSaahqN8tU5T5Ao5XWkUgVJd0JqIHBGRKKXUIRGJAk7bZYGaRsBoAg9fMNVP7gB31CpAdtNCOLYDdcYdJyVSWoM40dSNpUuXcvfdd7N+/XqGDh3KK6+8Qt++fZvarNOK5pgrpDXTHKZ4FgPX2vevBb5sQls0rRzxa4Nh2P1I3MCGHacmARHWAcKTwdOv/q+taVXs2bOHSy+9lBEjRpCVlcX8+fP59ddftTjRtHqag0B5BhglIjuBc+yvEZEUEXmnvJOILAc+A0aKSLqInNck1mo0taTaeBIPb/D0h1qm6a9rbEpFVMZ2rBsXosqKT+p8TeOTl5fHo48+SpcuXfj222+ZMWMG27ZtY+LEiVqkak4LmnxJn1IqE6iUq1wptRr4h9ProY1pl+b0w6W6cAPgMvVzcB1k7oL4M8EvrGqbyorhyCaI6mlbMnySqMMb4dAGaNffln1W02yxWq18+OGHPPLIIxw+fJirr76af/3rXydV1E6jack0uUDRaJoDqqwQ9fvrqLAOGHpcUr/XTl+D2vo19LsGCW1va+x+CRTnVCtORAQOrELt/BGsZbbVQCeJdB4D7QYgWpw0a37//XfuvvtuVq9ezcCBA1m0aBEDBzbsdKRG01zRAkWjAUDA6GHb6huDCUyeYDhR0l68/MGrFuXao3qDufSUM8GKhw80YjVjTd1IS0vjoYceYt68eURHRzNnzhyuuOIKnf5cc1qjBYrmtMe6eRHkHUHOvAMx1P+/hET3QqJ7ndy53oFI8mmZub1KRGQ08Cq2WjzvKKWeqXDcC/gQ6IetOvIkpdS+xrbTHRWLzU2fPp3U1FSee+45lFI8/vjjPPTQQ/j51T14WqNpbWiBotEU59g2q7V5hI1rqkREjMAbwCggHVglIovt+VTKuRHIUkp1EJHJwLPApMa31pW5c+cyZcoUCgsLAVuxuRtvvBGlFBMnTuS5554jPj6+ia3UaJoPWqBoTnuk79WgrA3iPWls1PG9qB3fIV3GIkGtMqhyALBLKbUHQETmYSuX4SxQxgFP2vcXAK+LiKjGrt5YgWnTpjnESTlKKSIiIpg/f34TWaXRNF9a/juyRnOKiBhqvdzXGaUU7PsNAiKR8OQGsOwkyM+A3INQmAlVCBSVthK160ck5XokMLqRDTxlYoD9Tq/TgYpRpI4+SimziOQAYcCxihcTkSnAFLBVol26dGkDmGwjLS3NbfvRo0cbdNymID8/v9XdkzOt+f6a071pgaLRnCzFOaidP0BgTLMRKBI3ANp0RHyCq++oi0AAlUtjNGR20Li4OFJTU922t7aspK0902prvr/mdG96xl2jOUnEJxjpfQXS7eKmNsWFmsSJxA3EMHJaS/SeABwAnNdKx9rb3PYRERMQhC1YtknRxeY0mrqhBYpGcwpI285IgC7U1oisApJFpL2IeAKTsZXLcMa5fMYE4Oemjj8BWx2XWbNmER8fj4gQHx/PrFmzdLE5jaYK9BSPRqNpMdhjSqYC32FbZvyuUmqziDwNrFZKLQZmA3NEZBdwHJuIaRboYnMaTe3RAkWj0bQolFJLgCUV2p5w2i8GLmtsuzQaTf2ip3g0Go1Go9E0O7RA0Wg0Go1G0+zQAkWj0Wg0Gk2zQwsUjUaj0Wg0zQ5pBqvvGgwRyQO2N7UddsJxk8myCdB2uNJc7IDmY0t92BGvlGpTH8Y0FiKSAVTOpNYwNJffdUOh76/l0tj3VuV7RWsXKKuVUilNbQc0H1u0Hc3TDmg+tjQXO1ozrf0Z6/truTSne9NTPBqNRqPRaJodWqBoNBqNRqNpdrR2gTKrqQ1wornYou1wpbnYAc3HluZiR2umtT9jfX8tl2Zzb606BkWj0Wg0Gk3LpLV7UDQajUaj0bRAtEDRaDQajUbT7GgVAkVERovIdhHZJSIPuzn+soiss287RCS7ieyIE5FfRGStiGwQkQsawo5a2hIvIj/Z7VgqIrENYMO7InJURDZVcVxE5DW7jRtEpG9921AHWzqLyAoRKRGR+5vQjivtz2KjiPwhIr2ayI5xdjvWichqERnSEHacbtT03Fs6ItLO/h63RUQ2i8hdTW1TfSEi3iLyl4ist9/bU01tU0MgIkb7Z9TXTW0LSqkWvWErub4bSAQ8gfVA12r634GtRHuj24Et+OhW+35XYF9TPRPgM+Ba+/7ZwJwGsOMsoC+wqYrjFwD/AwQYBKxswL+TmmxpC/QHZgL3N6EdZwAh9v3zG+qZ1MIOf07EqPUEtjXUMzmdtpqee0vfgCigr30/ANhR3ftxS9rs71P+9n0PYCUwqKntaoD7vBf4GPi6qW1pDR6UAcAupdQepVQpMA8YV03/y4FPmsgOBQTa94OAgw1gR21t6Qr8bN//xc3xU0YptQw4Xk2XccCHysafQLCIRNW3HbWxRSl1VCm1CihriPHrYMcfSqks+8s/gXr3bNXSjnxlf7cC/LD97WpOkVr8T7RolFKHlFJ/2/fzgK1ATNNaVT/Y36fy7S897Fur+r+we9LHAO80tS3QOqZ4YoD9Tq/TqeIfQkTigfac+GBubDueBK4SkXRgCTZvTkNQG1vWA5fY98cDASIS1kD2VEWtf3enKTdi8zA1CSIyXkS2Ad8ANzSVHZqWiYgkAH2weRpaBfbpj3XAUeAHpVSruTc7rwAPAtYmtgNoHQKlLkwGFiilLE00/uXA+0qpWGzTG3NEpKl+B/cDw0RkLTAMOAA01XPRVEBERmATKA81lQ1KqS+UUp2Bi4EZTWWHpuUhIv7A58DdSqncpranvlBKWZRSvbF5NgeISPcmNqneEJELgaNKqTVNbUs5rUGgHADaOb2Otbe5YzINM71TWztuBD4FUEqtALyxFWZqdFuUUgeVUpcopfoA0+xt2Q1gS3XU5Xd32iAiPbG5WMcppTKb2h77tESiiDTE36qmlSEiHtjEyVyl1MKmtqchsL9X/gKMbmJT6pMzgYtEZB+2sICzReSjpjSoNQiUVUCyiLQXEU9sImRxxU4i0hkIAVY0oR1pwEi7PV2wCZSMprBFRMKdvDePAO82gB01sRi4xr6aZxCQo5Q61AR2NBtEJA5YCFytlNrRhHZ0EBGx7/cFvIAmF0ua5o39b2Y2sFUp9VJT21OfiEgbEQm27/sAo4BtTWpUPaKUekQpFauUSsD2mfGzUuqqprTJ1JSD1wdKKbOITAW+w7Z65V2l1GYReRpYrZQq/2CeDMxzCvxrCjvuA/4rIvdgC666riHsqaUtw4F/iYgClgG317cdIvKJfZxwe9zNdGyBZSil3sIWh3MBsAsoBK6vbxtqa4uIRAKrsQUxW0XkbmyrD+rVPV2LZ/IEEAb8x64PzKoBKovWwo5LsYnHMqAImNRQ/zunE+6eu1JqdtNaVa+cCVwNbLTHagA8qpRa0nQm1RtRwAciYsT25f5TpVTTL8VtxehU9xqNRqPRaJodrWGKR6PRaDQaTStDCxSNRqPRaDTNDi1QNBqNRqPRNDu0QNFoNBqNRtPs0AJFo9FoNBpNs0MLFI1Go9E0OiKiRORFp9f3i8iT9XDdfTqpYOtACxSNRqPRNAUlwCVNKSbsSSL152AzRf9iNI2GiKwQkfb2/RgROamaDyLSRUSWicgGEXlARHbVr6UajaYRMAOzgHuq6yQi/iLynohstP/PX2pvv9zetklEnq3i3HvtxzfZky8iIgkisl1EPgQ2Ae1E5H17n432RJqaZkCLzySraRnYv6XEA/vsTT2BDSdxHRMwF7hRKbVWRN7E9iaj0WhaHm8AG0TkuWr6PI6tDEYPABEJEZFo4FmgH5AFfC8iFyulFpWfJCL9sGWnHggIsFJEfrX3TwauVUr9ae8Xo5Tqbj8vuJ7vUXOSaA+KprFIAvY6pUvvCWx07iAiPzp923Hexjl1uwRYr5Raa3+9BVjf4NZrNJp6x15K4kPgzmq6nYNNyJSfkwX0B5YqpTKUUmZsX1rOqnDeEOALpVSBUiofW42rofZjqUqpP+37e7AVw/y3iIwGWk315ZaO9qBoGoseuAqSFGzuXQdKqXNqcZ2ewDqn192Bb0/VOI1G02S8AvwNvNeIYxaU7yilskSkF3AecAswEbihEW3RVIH2oGgai1AgGxyVnMdwElM82CrqdrRfpzdwFdqDotG0WJRSx4FPgRur6PIDTsVMRSQE+AsYZq/KbgQuB36tcN5y4GIR8RURP2C8vc0Fe5CuQSn1OfAY0PcUb0lTT2iBomksvgNGi8hc4DIgUyl15CSuMwdIEZGN2N7Q9iml9tSjnRqNpvF5EahqNc8/gRD7dO96YIRS6hDwMPALti8oa5RSXzqfpJT6G3gfm5hZCbzjNDXsTAyw1F59+SPgkVO/HU19oKsZa1oUIuJvn09GRB4AgpRSjzWxWRqNRqOpZ7QHRdPSuEdENtu/7SQAM5rWHI1Go9E0BNqDotFoNBqNptmhPSgajUaj0WiaHVqgaDQajUajaXZogaLRaDQajabZoQWKRqPRaDSaZocWKBqNRqPRaJodWqBoNBqNRqNpdmiBotFoNBqNptnx/woyaLLixSw8AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# GMM-bayes takes several minutes to run, and is order[N^2]\n", "# truncating the dataset can be useful for experimentation.\n", "#X_tr = X[::10]\n", "#y_tr = y[::10]\n", "\n", "#----------------------------------------------------------------------\n", "# perform GMM Bayes\n", "Ncolors = np.arange(1, X.shape[1] + 1)\n", "Ncomp = [1, 3]\n", "\n", "\n", "def compute_GMMbayes(Ncolors, Ncomp):\n", " classifiers = []\n", " predictions = []\n", "\n", " for ncm in Ncomp:\n", " classifiers.append([])\n", " predictions.append([])\n", " for nc in Ncolors:\n", " clf = GMMBayes(ncm, tol=1E-5, covariance_type='full')\n", " clf.fit(X_train[:, :nc], y_train)\n", " y_pred = clf.predict(X_test[:, :nc])\n", "\n", " classifiers[-1].append(clf)\n", " predictions[-1].append(y_pred)\n", "\n", " return classifiers, predictions\n", "\n", "classifiers, predictions = compute_GMMbayes(Ncolors, Ncomp)\n", "\n", "completeness, contamination = completeness_contamination(predictions, y_test)\n", "\n", "print(\"completeness\", completeness)\n", "print(\"contamination\", contamination)\n", "\n", "#------------------------------------------------------------\n", "# Compute the decision boundary\n", "clf = classifiers[1][1]\n", "xlim = (0.7, 1.35)\n", "ylim = (-0.15, 0.4)\n", "\n", "xx, yy = np.meshgrid(np.linspace(xlim[0], xlim[1], 71),\n", " np.linspace(ylim[0], ylim[1], 81))\n", "\n", "Z = clf.predict_proba(np.c_[yy.ravel(), xx.ravel()])\n", "Z = Z[:, 1].reshape(xx.shape)\n", "\n", "#----------------------------------------------------------------------\n", "# plot the results\n", "fig = plt.figure(figsize=(8, 4))\n", "fig.subplots_adjust(bottom=0.15, top=0.95, hspace=0.0,\n", " left=0.1, right=0.95, wspace=0.2)\n", "\n", "# left plot: data and decision boundary\n", "ax = fig.add_subplot(121)\n", "im = ax.scatter(X[-N_plot:, 1], X[-N_plot:, 0], c=y[-N_plot:],\n", " s=4, lw=0, cmap=plt.cm.Oranges, zorder=2)\n", "im.set_clim(-0.5, 1)\n", "\n", "im = ax.imshow(Z, origin='lower', aspect='auto',\n", " cmap=plt.cm.binary, zorder=1,\n", " extent=xlim + ylim)\n", "im.set_clim(0, 1.5)\n", "\n", "ax.contour(xx, yy, Z, [0.5], colors='k')\n", "\n", "ax.set_xlim(xlim)\n", "ax.set_ylim(ylim)\n", "\n", "ax.set_xlabel('$u-g$')\n", "ax.set_ylabel('$g-r$')\n", "\n", "# plot completeness vs Ncolors\n", "ax = fig.add_subplot(222)\n", "ax.plot(Ncolors, completeness[0], '^--k', ms=6, label='N=%i' % Ncomp[0])\n", "ax.plot(Ncolors, completeness[1], 'o-k', ms=6, label='N=%i' % Ncomp[1])\n", "\n", "ax.xaxis.set_major_locator(plt.MultipleLocator(1))\n", "ax.yaxis.set_major_locator(plt.MultipleLocator(0.2))\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "ax.set_ylabel('completeness')\n", "ax.set_xlim(0.5, 4.5)\n", "ax.set_ylim(-0.1, 1.1)\n", "ax.grid(True)\n", "\n", "# plot contamination vs Ncolors\n", "ax = fig.add_subplot(224)\n", "ax.plot(Ncolors, contamination[0], '^--k', ms=6, label='N=%i' % Ncomp[0])\n", "ax.plot(Ncolors, contamination[1], 'o-k', ms=6, label='N=%i' % Ncomp[1])\n", "ax.legend(loc='lower right',\n", " bbox_to_anchor=(1.0, 0.78))\n", "\n", "ax.xaxis.set_major_locator(plt.MultipleLocator(1))\n", "ax.yaxis.set_major_locator(plt.MultipleLocator(0.2))\n", "ax.xaxis.set_major_formatter(plt.FormatStrFormatter('%i'))\n", "\n", "ax.set_xlabel('N colors')\n", "ax.set_ylabel('contamination')\n", "ax.set_xlim(0.5, 4.5)\n", "ax.set_ylim(-0.1, 1.1)\n", "ax.grid(True)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "determined-chicken", "metadata": {}, "source": [ "## K-nearest neighbours\n", "\n", "As with density estimation (and kernel density estimation) the intuitive justification is that $p(y|x) \\approx p(y|x')$ if $x'$ is very close to $x$. \n", "\n", "The number of neighbors, $K$, regulates the complexity of the classification. In simplest form, a majority rule classification is adopted, where each of the $K$ points votes on the classification. Increasing $K$ decreases the variance in the classification but at the expense of an increase in the bias. \n", "\n", "Weights can be assigned to individual votes by weighting the vote by the distance to the nearest point." ] }, { "cell_type": "code", "execution_count": 8, "id": "optimum-withdrawal", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "completeness [[0.22627737 0.3649635 0.46715328 0.54014599]\n", " [0.00729927 0.23357664 0.40145985 0.53284672]]\n", "contamination [[0.78014184 0.53271028 0.44347826 0.41732283]\n", " [0.875 0.44827586 0.24657534 0.23958333]]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# perform Classification\n", "\n", "classifiers = []\n", "predictions = []\n", "Ncolors = np.arange(1, X.shape[1] + 1)\n", "kvals = [1, 10]\n", "\n", "for k in kvals:\n", " classifiers.append([])\n", " predictions.append([])\n", " for nc in Ncolors:\n", " clf = KNeighborsClassifier(n_neighbors=k)\n", " clf.fit(X_train[:, :nc], y_train)\n", " y_pred = clf.predict(X_test[:, :nc])\n", "\n", " classifiers[-1].append(clf)\n", " predictions[-1].append(y_pred)\n", "\n", "completeness, contamination = completeness_contamination(predictions, y_test)\n", "\n", "print(\"completeness\", completeness)\n", "print(\"contamination\", contamination)\n", "\n", "#------------------------------------------------------------\n", "# Compute the decision boundary\n", "clf = classifiers[1][1]\n", "xlim = (0.7, 1.35)\n", "ylim = (-0.15, 0.4)\n", "\n", "xx, yy = np.meshgrid(np.linspace(xlim[0], xlim[1], 71),\n", " np.linspace(ylim[0], ylim[1], 81))\n", "\n", "Z = clf.predict(np.c_[yy.ravel(), xx.ravel()])\n", "Z = Z.reshape(xx.shape)\n", "\n", "#----------------------------------------------------------------------\n", "# plot the results\n", "fig = plt.figure(figsize=(8, 4))\n", "fig.subplots_adjust(bottom=0.15, top=0.95, hspace=0.0,\n", " left=0.1, right=0.95, wspace=0.2)\n", "\n", "# left plot: data and decision boundary\n", "ax = fig.add_subplot(121)\n", "im = ax.scatter(X[-N_plot:, 1], X[-N_plot:, 0], c=y[-N_plot:],\n", " s=4, lw=0, cmap=plt.cm.Oranges, zorder=2)\n", "im.set_clim(-0.5, 1)\n", "\n", "im = ax.imshow(Z, origin='lower', aspect='auto',\n", " cmap=plt.cm.binary, zorder=1,\n", " extent=xlim + ylim)\n", "im.set_clim(0, 2)\n", "\n", "ax.contour(xx, yy, Z, [0.5], colors='k')\n", "\n", "ax.set_xlim(xlim)\n", "ax.set_ylim(ylim)\n", "\n", "ax.set_xlabel('$u-g$')\n", "ax.set_ylabel('$g-r$')\n", "\n", "ax.text(0.02, 0.02, \"k = %i\" % kvals[1],\n", " transform=ax.transAxes)\n", "\n", "# plot completeness vs Ncolors\n", "ax = fig.add_subplot(222)\n", "\n", "ax.plot(Ncolors, completeness[0], 'o-k', ms=6, label='k=%i' % kvals[0])\n", "ax.plot(Ncolors, completeness[1], '^--k', ms=6, label='k=%i' % kvals[1])\n", "\n", "ax.xaxis.set_major_locator(plt.MultipleLocator(1))\n", "ax.yaxis.set_major_locator(plt.MultipleLocator(0.2))\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "ax.set_ylabel('completeness')\n", "ax.set_xlim(0.5, 4.5)\n", "ax.set_ylim(-0.1, 1.1)\n", "ax.grid(True)\n", "\n", "# plot contamination vs Ncolors\n", "ax = fig.add_subplot(224)\n", "ax.plot(Ncolors, contamination[0], 'o-k', ms=6, label='k=%i' % kvals[0])\n", "ax.plot(Ncolors, contamination[1], '^--k', ms=6, label='k=%i' % kvals[1])\n", "ax.legend(loc='lower right',\n", " bbox_to_anchor=(1.0, 0.79))\n", "\n", "ax.xaxis.set_major_locator(plt.MultipleLocator(1))\n", "ax.yaxis.set_major_locator(plt.MultipleLocator(0.2))\n", "ax.xaxis.set_major_formatter(plt.FormatStrFormatter('%i'))\n", "ax.set_xlabel('N colors')\n", "ax.set_ylabel('contamination')\n", "ax.set_xlim(0.5, 4.5)\n", "ax.set_ylim(-0.1, 1.1)\n", "ax.grid(True)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "excess-refrigerator", "metadata": {}, "source": [ "## Support Vector Machines \n", "\n", "Find the hyperplane that maximizes the distance of the closest point from either class. This distance is the margin (width of the line before it hits a point). We want the line that maximizes the margin (m).\n", "\n", "The points on the margin are called _support vectors_\n", "\n", "If we assume $y \\in \\{-1,1\\}$, (+1 is maximum margin, -1 is minimum, 0 is the decision boundary)\n", "\n", "The maximum is then just when $\\beta_0 + \\beta^T x_i = 1$ etc\n", "\n", "The hyperplane which maximizes the margin is given by finding\n", "\n", "$$\n", "\\max_{\\beta_0,\\beta}(m) \\;\\;\\;\n", " \\mbox{subject to} \\;\\;\\; \\frac{1}{||\\beta||} y_i ( \\beta_0 + \\beta^T x_i )\n", " \\geq m \\,\\,\\, \\forall \\, i.\n", "$$\n", "\n", "The constraints can be written as $y_i ( \\beta_0 + \\beta^T x_i ) \\geq m ||\\beta|| $. \n", "\n", "Thus the optimization problem is equivalent to minimizing\n", "$$\n", "\\frac{1}{2} ||\\beta|| \\;\\;\\; \\mbox{subject to} \\;\\;\\; y_i\n", " ( \\beta_0 + \\beta^T x_i ) \\geq 1 \\,\\,\\, \\forall \\, i.\n", "$$\n", "\n", "This optimization is a _quadratic programming_ problem (quadratic objective function with linear constraints).\n", "\n", "\n", "Note that because SVM uses a metric which maximizes the margin rather than a measure over all points in the data sets, it is similar in spirit to the rank-based estimators \n", "\n", "\n", "- The median of a distribution is unaffected by even large perturbations of outlying points, as long as those perturbations do not cross the boundary.\n", "- In the same way, once the support vectors are determined, changes to the positions or numbers of points beyond the margin will not change the decision boundary. For this reason, SVM can be a very powerful tool for discriminative classification.\n", "\n", "- This is why there is a high completeness compared to the other methods: it does not matter that the background sources outnumber the RR Lyrae stars by a factor of $\\sim$200 to 1. It simply determines the best boundary between the small RR Lyrae clump and the large background clump.\n", "- This completeness, however, comes at the cost of a relatively large contamination level.\n", "\n", "- SVM is not scale invariant so it often worth rescaling the data to [0,1] or to whiten it to have a mean of 0 and variance 1 (remember to do this to the test data as well!)\n", "- The data dont need to be separable (we can put a constraint in minimizing the number of \"failures\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "allied-council", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "completeness [1. 1. 1. 1.]\n", "contamination [0.90108303 0.83901293 0.83573141 0.81561238]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# SVM takes several minutes to run, and is order[N^2]\n", "# truncating the dataset can be useful for experimentation.\n", "#X_tr = X[::5]\n", "#y_tr = y[::5]\n", "\n", "\n", "#----------------------------------------------------------------------\n", "# Fit Kernel SVM\n", "Ncolors = np.arange(1, X.shape[1] + 1)\n", "\n", "def compute_SVM(Ncolors):\n", " classifiers = []\n", " predictions = []\n", "\n", " for nc in Ncolors:\n", " # perform support vector classification\n", " clf = SVC(kernel='rbf', gamma=20.0, class_weight='balanced')\n", " clf.fit(X_train[:, :nc], y_train)\n", " y_pred = clf.predict(X_test[:, :nc])\n", "\n", " classifiers.append(clf)\n", " predictions.append(y_pred)\n", "\n", " return classifiers, predictions\n", "\n", "classifiers, predictions = compute_SVM(Ncolors)\n", "\n", "completeness, contamination = completeness_contamination(predictions, y_test)\n", "\n", "print(\"completeness\", completeness)\n", "print(\"contamination\", contamination)\n", "\n", "#------------------------------------------------------------\n", "# compute the decision boundary\n", "clf = classifiers[1]\n", "xlim = (0.7, 1.35)\n", "ylim = (-0.15, 0.4)\n", "\n", "xx, yy = np.meshgrid(np.linspace(xlim[0], xlim[1], 101),\n", " np.linspace(ylim[0], ylim[1], 101))\n", "\n", "Z = clf.predict(np.c_[yy.ravel(), xx.ravel()])\n", "Z = Z.reshape(xx.shape)\n", "\n", "# smooth the boundary\n", "from scipy.ndimage import gaussian_filter\n", "Z = gaussian_filter(Z, 2)\n", "\n", "#----------------------------------------------------------------------\n", "# plot the results\n", "fig = plt.figure(figsize=(8, 4))\n", "fig.subplots_adjust(bottom=0.15, top=0.95, hspace=0.0,\n", " left=0.1, right=0.95, wspace=0.2)\n", "\n", "# left plot: data and decision boundary\n", "ax = fig.add_subplot(121)\n", "im = ax.scatter(X[-N_plot:, 1], X[-N_plot:, 0], c=y[-N_plot:],\n", " s=4, lw=0, cmap=plt.cm.Oranges, zorder=2)\n", "im.set_clim(-0.5, 1)\n", "\n", "ax.contour(xx, yy, Z, [0.5], colors='k')\n", "\n", "ax.set_xlim(xlim)\n", "ax.set_ylim(ylim)\n", "\n", "ax.set_xlabel('$u-g$')\n", "ax.set_ylabel('$g-r$')\n", "\n", "# plot completeness vs Ncolors\n", "ax = fig.add_subplot(222)\n", "ax.plot(Ncolors, completeness, 'o-k', ms=6)\n", "\n", "ax.xaxis.set_major_locator(plt.MultipleLocator(1))\n", "ax.yaxis.set_major_locator(plt.MultipleLocator(0.2))\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "ax.set_ylabel('completeness')\n", "ax.set_xlim(0.5, 4.5)\n", "ax.set_ylim(-0.1, 1.1)\n", "ax.grid(True)\n", "\n", "ax = fig.add_subplot(224)\n", "ax.plot(Ncolors, contamination, 'o-k', ms=6)\n", "\n", "ax.xaxis.set_major_locator(plt.MultipleLocator(1))\n", "ax.yaxis.set_major_locator(plt.MultipleLocator(0.2))\n", "ax.xaxis.set_major_formatter(plt.FormatStrFormatter('%i'))\n", "\n", "ax.set_xlabel('N colors')\n", "ax.set_ylabel('contamination')\n", "ax.set_xlim(0.5, 4.5)\n", "ax.set_ylim(-0.1, 1.1)\n", "ax.grid(True)\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "round-pledge", "metadata": {}, "source": [ "## Gaussian Naive Bayes\n", "\n", "In Gaussian naive Bayes $p_k(x^i)$ are modeled as one-dimensional normal distributions, with means $\\mu^i_k$ and widths $\\sigma^i_k$. The naive Bayes estimator is then\n", "\n", "$$\\hat{y} = \\arg\\max_{y_k}\\left[\\ln \\pi_k - \\frac{1}{2}\\sum_{i=1}^N\\left(2\\pi(\\sigma^i_k)^2 + \\frac{(x^i - \\mu^i_k)^2}{(\\sigma^i_k)^2} \\right) \\right]$$\n", "\n", " Note: this is the log of the Bayes criterion with no normalization constant " ] }, { "cell_type": "code", "execution_count": 10, "id": "convertible-civilian", "metadata": {}, "outputs": [], "source": [ "from astroML.datasets import fetch_imaging_sample\n", "\n", "def get_stars_and_galaxies(Nstars=10000, Ngals=10000):\n", " \"\"\"Get the subset of star/galaxy data to plot\"\"\"\n", " data = fetch_imaging_sample()\n", "\n", " objtype = data['type']\n", "\n", " stars = data[objtype == 6][:Nstars]\n", " \n", " galaxies = data[objtype == 3][:Ngals]\n", "\n", " return np.concatenate([stars,galaxies]), np.concatenate([np.zeros(len(stars)), np.ones(len(galaxies))])" ] }, { "cell_type": "code", "execution_count": 11, "id": "considerable-pillow", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data, y = get_stars_and_galaxies(Nstars=10000, Ngals=10000)\n", "\n", "# select r model mag and psf - model mag as columns\n", "X = np.column_stack((data['rRaw'], data['rRawPSF'] - data['rRaw']))\n", "\n", "#------------------------------------------------------------\n", "# Fit the Naive Bayes classifier\n", "clf = GaussianNB()\n", "clf.fit(X, y)\n", "\n", "# predict the classification probabilities on a grid\n", "xlim = (15, 25)\n", "ylim = (-5, 5)\n", "\n", "xx, yy = np.meshgrid(np.linspace(xlim[0], xlim[1], 71),\n", " np.linspace(ylim[0], ylim[1], 81))\n", "Z = clf.predict_proba(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z[:, 1].reshape(xx.shape)\n", "\n", "#------------------------------------------------------------\n", "# Plot the results\n", "fig = plt.figure(figsize=(10,10))\n", "ax = fig.add_subplot(111)\n", "ax.scatter(X[:, 0], X[:, 1], c=y, zorder=2, alpha=0.5)\n", "\n", "ax.contour(xx, yy, Z, [0.5], linewidths=2., colors='blue')\n", "\n", "ax.set_xlim(xlim)\n", "ax.set_ylim(ylim)\n", "\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$')\n", "\n", "plt.show()" ] } ], "metadata": { "jupytext": { "formats": "ipynb,md:myst" }, "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": "3.9.1" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "277.833px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 5 }