diff --git a/tp/clustering/agglomerative.ipynb b/tp/clustering/agglomerative.ipynb
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+++ b/tp/clustering/agglomerative.ipynb
@@ -0,0 +1,358 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "063e4e3e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from IPython.core.display import HTML\n",
+ "\n",
+ "HTML(\n",
+ " \"\"\"\n",
+ "\n",
+ "\"\"\"\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "370d673f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "plt.rcParams[\"figure.figsize\"] = (10, 5)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "019ab614",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "# A connectivity-based algorithm: Agglomerative clustering\n",
+ "\n",
+ "## Outline\n",
+ "\n",
+ "- Algorithm\n",
+ "- scikit-learn implementation\n",
+ "- Choose K\n",
+ "- Linkage"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ec775a8c",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Toy data generation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "13f522d1",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([5, 5]), np.array([5, 1])]\n",
+ "covariance = np.array([[0.25, 0], [0, 0.25]])\n",
+ "n_points = 10\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance, size=n_points)\n",
+ " for i in range(3)\n",
+ "]\n",
+ "all_data = np.r_[data[0], data[1], data[2]]\n",
+ "\n",
+ "plt.scatter(all_data[:, 0], all_data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "babc0d81",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Agglomerative clustering algorithm\n",
+ "\n",
+ "__Objective__: Recursively merges pair of clusters of sample data.\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2f77e30b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## K-means using scikit-learn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "58cc2222",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import AgglomerativeClustering\n",
+ "\n",
+ "ac = AgglomerativeClustering(n_clusters=3)\n",
+ "clusters = ac.fit_predict(all_data)\n",
+ "\n",
+ "plt.scatter(all_data[:, 0], all_data[:, 1], c=clusters)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1abc56c1",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Visualize dendrogram"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "d52284a0",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Plot Dendrogram\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from scipy.cluster.hierarchy import dendrogram\n",
+ "\n",
+ "print(\"Plot Dendrogram\")\n",
+ "\n",
+ "ac = AgglomerativeClustering(n_clusters=3, compute_distances=True)\n",
+ "clusters = ac.fit(all_data)\n",
+ "\n",
+ "children = ac.children_\n",
+ "distances = ac.distances_\n",
+ "n_observations = np.arange(2, children.shape[0] + 2)\n",
+ "\n",
+ "linkage_matrix = np.c_[children, distances, n_observations]\n",
+ "\n",
+ "dendrogram(linkage_matrix, labels=ac.labels_)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cc1f919a",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Choose optimal number of clusters K\n",
+ "\n",
+ "Plot the height of the different successive merges.\\\n",
+ "Find the elbow."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "7676f1a2",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = np.arange(3 * n_points - 1, 0, -1)\n",
+ "y = ac.distances_\n",
+ "\n",
+ "plt.bar(x, y)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9b95a0d2",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Linkage\n",
+ "\n",
+ "The linkage represent how the similarity between different groups of points is computed.\n",
+ "\n",
+ "Different linkages in scikit-learn:\n",
+ "- __average__: uses the average of the distances of each observation of the two sets.\n",
+ "- __complete__: linkage uses the maximum distances between all observations of the two sets.\n",
+ "- __single__: uses the minimum of the distances between all observations of the two sets.\n",
+ "- __ward__: minimizes the variance of the clusters being merged."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f823699e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "#### Visualization of the influence of different linkage strategies\n",
+ "\n",
+ " "
+ ]
+ }
+ ],
+ "metadata": {
+ "celltoolbar": "Slideshow",
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "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": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tp/clustering/ensemble/data.txt b/tp/clustering/ensemble/data.txt
new file mode 100644
index 0000000..48cccd2
--- /dev/null
+++ b/tp/clustering/ensemble/data.txt
@@ -0,0 +1,6 @@
+To download the FEI dataset and the corresponding extracted CNN feature representations, used in the Ensemble clustering hands-on, please use the following link:
+
+The representations are .h5 files (read using h5py)
+Each .h5 representation file contains:
+ - a "data" key (containing the features)
+ - a "labels" key (containing the corresponding ground truth)
\ No newline at end of file
diff --git a/tp/clustering/ensemble/ensemble.ipynb b/tp/clustering/ensemble/ensemble.ipynb
new file mode 100644
index 0000000..b85ae12
--- /dev/null
+++ b/tp/clustering/ensemble/ensemble.ipynb
@@ -0,0 +1,1159 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "109aea99",
+ "metadata": {},
+ "source": [
+ "# Hands-on clustering #2:\n",
+ "## Ensemble clustering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "82577d25",
+ "metadata": {},
+ "source": [
+ "### Imports and formatting"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "0545f90c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy.stats import ttest_ind\n",
+ "from scipy.special import binom\n",
+ "\n",
+ "from sklearn.cluster import KMeans, AgglomerativeClustering, MiniBatchKMeans\n",
+ "from sklearn import datasets\n",
+ "from sklearn.metrics import normalized_mutual_info_score\n",
+ "\n",
+ "import h5py\n",
+ "\n",
+ "plt.style.use(\"seaborn\")\n",
+ "plt.rcParams.update(\n",
+ " {\n",
+ " \"font.size\": 18,\n",
+ " \"xtick.labelsize\": 18,\n",
+ " \"ytick.labelsize\": 18,\n",
+ " \"legend.fontsize\": 20,\n",
+ " \"axes.labelsize\": 20,\n",
+ " \"axes.titlesize\": 20,\n",
+ " \"figure.figsize\": (8, 8),\n",
+ " }\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8d141cd4",
+ "metadata": {},
+ "source": [
+ "## 2. Understanding ensemble methods"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e408f004",
+ "metadata": {},
+ "source": [
+ "#### Binomial distribution functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "d211c30c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def P_k_np(k, n, p):\n",
+ " return binom(n, k) * p**k * (1 - p) ** (n - k)\n",
+ "\n",
+ "\n",
+ "def P_supk_np(k, n, p):\n",
+ " P = 0\n",
+ " for i in range(k, n + 1):\n",
+ " P += P_k_np(i, n, p)\n",
+ " return P\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d13b174a",
+ "metadata": {},
+ "source": [
+ "### 2.1 Probability of correct classification when ensembling 1001 models with an accuracy of 51%"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "757f4d8e",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Probability of correct prediction: 0.7366309083614334\n"
+ ]
+ }
+ ],
+ "source": [
+ "p = 0.51\n",
+ "n = 1001\n",
+ "\n",
+ "# If k models predict the correct answer, the ensemble is correct when k > n/2\n",
+ "k_min = int(n / 2) + 1\n",
+ "\n",
+ "print(\"Probability of correct prediction: \", P_supk_np(k_min, n, p))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "98fc8ec6",
+ "metadata": {},
+ "source": [
+ "### 2.2 With 1001 models, what accuracy is needed on the weak models to outperform the expert model?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "1aec0784",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n = 1001\n",
+ "k_min = int(n / 2) + 1\n",
+ "\n",
+ "P_ensemble = []\n",
+ "x_plot = np.arange(0.50, 0.60, 0.01)\n",
+ "for p in x_plot:\n",
+ " P_ensemble.append(P_supk_np(k_min, n, p))\n",
+ "\n",
+ "P_expert = [0.9 for _ in x_plot]\n",
+ "plt.plot(x_plot, P_ensemble)\n",
+ "plt.plot(x_plot, P_expert)\n",
+ "plt.legend([\"Ensemble\", \"Expert\"])\n",
+ "plt.xlabel(\"Accuracy of weak models\")\n",
+ "plt.ylabel(\"Probability of success\")\n",
+ "plt.title(\n",
+ " \"Success rate of ensemble learning with 1001 weak models for different accuracies\"\n",
+ ")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2671b819",
+ "metadata": {},
+ "source": [
+ "#### Comment\n",
+ "With 1001 weak models, each with an accuracy of 0.52, ensemble performance is 0.9 (equal to expert here).\n",
+ "\n",
+ "Hence, with an accuracy > 0.52, the ensemble outperforms the expert."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f071e0d1",
+ "metadata": {},
+ "source": [
+ "### 3.3 To work as expected, three conditions must be verified by the set o weak learners"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "131310e7",
+ "metadata": {},
+ "source": [
+ "#### 1. The number of weak learners must be \"large\"\n",
+ "\n",
+ "The following example presents the ensemble accuracy for different number of weak learners when the individual accuracy is 0.53"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "3aebc1bd",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "p = 0.53\n",
+ "\n",
+ "P_ensemble = []\n",
+ "x_plot = np.arange(51, 1011, 10)\n",
+ "for n in x_plot:\n",
+ " k_min = int(n / 2) + 1\n",
+ " P_ensemble.append(P_supk_np(k_min, n, p))\n",
+ "\n",
+ "P_expert = [0.9 for _ in x_plot]\n",
+ "plt.plot(x_plot, P_ensemble)\n",
+ "plt.plot(x_plot, P_expert)\n",
+ "plt.legend([\"Ensemble\", \"Expert\"])\n",
+ "plt.xlabel(\"Number of weak models\")\n",
+ "plt.ylabel(\"Probability of success\")\n",
+ "plt.title(\n",
+ " \"Success rate of ensemble learning with 0.53 accuracies for different number of learners\"\n",
+ ")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d9ad01f6",
+ "metadata": {},
+ "source": [
+ "#### 2. The individual learners must be \"good\"\n",
+ "\n",
+ "Individual models in ensembles must be at least better than random classification.\n",
+ "\n",
+ "The following example illustrates the behavior of ensemble when individual models have an accuracy of 0.47"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "fc9b0f2f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "p = 0.47\n",
+ "\n",
+ "P_ensemble = []\n",
+ "x_plot = np.arange(51, 1011, 10)\n",
+ "for n in x_plot:\n",
+ " P_ensemble.append(P_supk_np(int(n / 2) + 1, n, p))\n",
+ "\n",
+ "P_expert = [0.9 for _ in x_plot]\n",
+ "plt.plot(x_plot, P_ensemble)\n",
+ "plt.plot(x_plot, P_expert)\n",
+ "plt.legend([\"Ensemble\", \"Expert\"])\n",
+ "plt.xlabel(\"Number of weak models\")\n",
+ "plt.ylabel(\"Probability of success\")\n",
+ "plt.title(\n",
+ " \"Success rate of ensemble learning with 0.53 accuracies for different number of learners\"\n",
+ ")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0e34cd80",
+ "metadata": {},
+ "source": [
+ "Obviously, there is a strong relation between how good the individual learners are and the number of weak models that is needed for good performance. For example, if weak models have an accuracy of 0.7, 13 models are sufficient to generate strong ensemble predictions (> 0.9)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "ac994535",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Probability of correct prediction: 0.9376247882008\n"
+ ]
+ }
+ ],
+ "source": [
+ "p = 0.7\n",
+ "n = 13\n",
+ "k_min = int(n / 2) + 1\n",
+ "\n",
+ "print(\"Probability of correct prediction: \", P_supk_np(k_min, n, p))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f462f1e4",
+ "metadata": {},
+ "source": [
+ "#### 3. Weak learners must be diverse: \n",
+ "\n",
+ "If all weak model predict the same thing, i.e., make the same mistakes, then the ensemble is not better than the individual weak models. \n",
+ "\n",
+ "_Note: All the computations above assume that all weak models are independent, which is rarely true in practice_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a84b2325",
+ "metadata": {},
+ "source": [
+ "## 3. Ensemble methods for clustering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6d4cc40c",
+ "metadata": {},
+ "source": [
+ "### 3.1 Generating clustering partitions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b69e6eff",
+ "metadata": {},
+ "source": [
+ "#### List of possible ways to generate clustering partitions\n",
+ "\n",
+ "1. Use different clustering algorithms\n",
+ " 1. Different approaches\n",
+ " 2. Different parameters\n",
+ "2. Use different features\n",
+ " 1. Subsets of the features\n",
+ " 2. Different modeling of the problem\n",
+ " 3. Different data transformation\n",
+ "3. Use different initializations\n",
+ "4. Use different subsets of data\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "afe8bfa0",
+ "metadata": {},
+ "source": [
+ "#### Generate data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "fe7e42d9",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n_samples = 500\n",
+ "noisy_circles, labels_noisy_circles = datasets.make_circles(\n",
+ " n_samples=n_samples, factor=0.6, noise=0.05\n",
+ ")\n",
+ "\n",
+ "plt.scatter(\n",
+ " noisy_circles[:, 0], noisy_circles[:, 1], c=labels_noisy_circles, cmap=\"tab20\"\n",
+ ")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2c798ca8",
+ "metadata": {},
+ "source": [
+ "#### 3.1.1 Run regular Kmeans"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "e0b9d09c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "NMI: 4.6166733759236576e-05\n"
+ ]
+ }
+ ],
+ "source": [
+ "kmeans = KMeans(n_clusters=2)\n",
+ "clusters = kmeans.fit_predict(noisy_circles)\n",
+ "\n",
+ "plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters, cmap=\"tab20\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\"NMI: \", normalized_mutual_info_score(labels_noisy_circles, clusters))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8e29b727",
+ "metadata": {},
+ "source": [
+ "#### Comments:\n",
+ "\n",
+ "Kmeans clearly did not work for these data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9ff4ecf2",
+ "metadata": {},
+ "source": [
+ "#### 3.1.2 Generating 100 partitions using Kmeans with 100 clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "8438ed79",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "kmeans = KMeans(n_clusters=100)\n",
+ "\n",
+ "clusters = []\n",
+ "for _ in range(100):\n",
+ " clusters.append(kmeans.fit_predict(noisy_circles))\n",
+ "clusters = np.array(clusters)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c1a97583",
+ "metadata": {},
+ "source": [
+ "Let's now display 3 of these cluster assignments."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "2696b7e3",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(24, 8))\n",
+ "for i in range(3):\n",
+ " plt.subplot(1, 3, i + 1)\n",
+ " plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters[i], cmap=\"tab20\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "93f33467",
+ "metadata": {},
+ "source": [
+ "#### Comments\n",
+ "\n",
+ "- Clusters are definitely \"good\" (better than random)\n",
+ "- There is \"a high number\" of partitions (> 100)\n",
+ "- Regarding diversity, all three clustering partitions shown above are slightly different but most points appear to share common clustering within the three partitions."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5bd5d602",
+ "metadata": {},
+ "source": [
+ "### 3.2 Consensus function"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2a8dfcc2",
+ "metadata": {},
+ "source": [
+ "- The grouping strategy presented in Section 2 (simple majority voting) is used for supervised classification problems. For clustering, it cannot be used straightforwardly because of the label correspondance problem.\n",
+ "- The most straightforward approach to consensus would be relabelling and voting. Other approaches exist, here we will see one based on counting co-occurrence of points in clusters between different partitions."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5d9fde89",
+ "metadata": {},
+ "source": [
+ "#### 3.2.1 Co-Association Matrix function"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "ff6a6ed0",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def compute_CoAssociationMatrix(clusters):\n",
+ " n_samples = clusters.shape[1]\n",
+ " CAM = np.zeros((n_samples, n_samples))\n",
+ " for i in range(clusters.shape[0]):\n",
+ " for j in range(n_samples):\n",
+ " for k in range(j + 1, n_samples):\n",
+ " if clusters[i][j] == clusters[i][k]:\n",
+ " CAM[j, k] += 1\n",
+ " CAM[k, j] += 1\n",
+ " return CAM\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "219e25a7",
+ "metadata": {},
+ "source": [
+ "#### 3.2.2 Cluster the Co-Association Matrix\n",
+ "\n",
+ "- Agglomerative clustering can be used to cluster a dataset based on precomputed distances\n",
+ "- The Co-Association Matrix represents the similarity between two points in dataset. As Agglomerative Clustering requires distances (dissimilarities) we need to pass the opposite of the Co-Association Matrix as argument."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "abeb4f13",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
+ "\n",
+ "agg = AgglomerativeClustering(n_clusters=2, affinity=\"precomputed\", linkage=\"average\")\n",
+ "clusters = agg.fit_predict(-CoAssociationMatrix)\n",
+ "\n",
+ "plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters, cmap=\"tab20\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f0dd2296",
+ "metadata": {},
+ "source": [
+ "#### 3.2.3 Initialization issue\n",
+ "\n",
+ "- The algorithm did not work as expected\n",
+ "- Previously, we noted that the diversity in the partitions was limited, this is due to the default parameters of Kmeans. Indeed, by default, Scikit-learn Kmeans runs the \"Kmeans++\" algorithm to properly initialize parameters and conducts multiple initializations (10). This has the effect of limiting the diversity in the partitions because each run converges to a similar local minimum.\n",
+ "- To correct this issue we need to set Kmeans initialization to random and the number of restart to 1. this will \"reduce the performance\" of the individual partitions, but increase the diversity."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "3c700bb1",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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oo5JT7YnDh0HD4Vjr4LyLe6ZPY0txBi/Ux0bqNhdnsCYvkLL32l2eze7y7Gk9VpIksud4FX26Y4h/e6SWnpFa97Dp8ExdL+1DOv999058s+ggFzIsPvLQyQmdAM93D3O2M8g33rqDgGfx5yEJ5oaUTlGbm5s5fvw4x48fp7MzWoN67ty5sWOGYfDQQw+xefNmnn322bHnfeQjH2FoaIg///M/5/nnn+eJJ57gAx/4AFlZWbz//e9P5RAFggXljVuLme5ueseQHrcU7HDzQMLnHGrqB6LObsnqy1UZ1uXPfrV4Kbz3igpKMid2g8tP03j3vvJ568lu2Q7PnOvhmXM9WAlK6lLNT4+2jQn7eGq7hvn5sdmV+97/fH1Mi1+AM51BHjjcMqvXFCwPUrpy//KXv8zPf/7zCcc+/OEPj/3/448/juM42LaN41z8QW3atIn777+fz372s3zwgx9EURT279/P5z73ubE9eYFgOVCZFyDdqzCk21M+Nj89fmJdsmS70azsp8/1EDYTi9beyhzWLpC4by/N4pt37eQnr7TQMaSTF9C4c2cJFbmpW7Un4+HTHdz/UhPne6JbJGvyArxzXzmv21SU8vcKmza/ON5OULe40B2bazFKyzQMgeJRG0fYR7nQs/iTjAVzR0rF/ZOf/CSf/OQnkz6mrKyMO+64I+b4rl27+P73v5/K4QgEl8ywYfHg4VZaBiJk+zXesrNkRj3IJ6PKErvKsnj6fPJyLQm4vjp+Iuk1a/P4zamOmP1pVYZr1+YBJHWP8yjwzylKppsthRlePvyquUtaS0Rd9zCffeI8feGLuQh1PSE+98R51uenJbWznSlPn+/mc0/UjX0XSpKgRNEsr6n2gcS1+GkiJL+iWXATG4FgsVLfM8x7f3yErz5bzy+Ot/Pdl5t494+P8Fyc/e6Z8O59lZRmTdzrVmXwa9GfY0mml3fsLedd++L3O3/1ujzu2L4Kzzi10BSJN+8o4eo1UWOXXWWZY683mX2VuXETy1YCPz/eNkHYR+kLWzx0vD1l7xM27QnCDtE8iniszg1w586SGb/Hz462cTCBi166R+ENW1MfiRAsHRY8oU4gWKx87bkGzk1qBNIxpHPf8/XsX52DPMv94S2rMvj6W7bzo0PNtA3qZPs13ri1mPIcP51DOhU5/qTJVZIk8X9eU80N6/N56lwPSHDdunwuG5c8tqU4k/1VufyhtnvCczN9KrdvL57VuJcDA3GEfZT+KexqZ8Ivj7cnjJ4EPDIRw0FTJHaUZvEX16yO6+KXDNd1+eWJNuLtvMgSvGd/BVuKF7YNrmBhEeIuEMTBtB2OJ6jHPtMR5ETbINtLptdqNB7FmT7uvW5dzPGZZGzvrshhd0XimvL/9/qN5D9dx8sNfQwbNlW5Ae7csYpr1q7cPJayrMTVAWXZqbOGDSbp716VE+BfXr8RnyrPqPPceEKmTVN//MmD48L6FG4vCJYmQtwFgjg4LtgJiq4dwEwUY11EeFWZv7l+Ha7r4rikzHZ2KXPXZaX8obZ7LJlulLV5gZQ2ddlflct3X2oiHKcrzdr8NKouMXnQqypk+zUG4/gYpHkUSpJMYgQrA7HnLhDEwavKbCmOb+1YXRBgZ+nsV+3zjSRJQthHyPRrfPLWTdy4IZ9VmV5WZXh5zfp8PnnrJjJTWOe+uTiD12yITYgsz/Zxz55Y74KZosoS+xM07rm8PCulUQjB0kSs3AWCBLznigrqekITypSy/Sp/vKdciOUSpiovjX9/w+axfu1zVVv/9zevpzLXz0sNfYQMh7X5Ae7ZXXZJbnTj+ctXrcEAHj/VwaBu41NlLi/P4v/eGNs+W7DykNzRK3yJs5jM/BOx2JoOLDVMO+oBfqYjiF9TeP2WwqRJQ1N93q7r8krzAOe6hrm8PIt1cfYp2wd1fvJKNPEtx6/ypu2rKMv2c757mFUZXnTbJc2rkLtCs88nI67x+aWgIIPDtZ0cbh6guiCNjUVLo2PZUmWxXd+LunGMQDAdgrrJRx46ySvNF5PcfnOqg/ftr4xr0ToVHYMR/vnhsxxtGcB0ou0/r1ydwz+/buMEb/HiTC9/9eq1QNT17QtP1vF4bTcdQzoy0f33NFXi8socPnr9unm3cxXMjrBp8/2Xo53mFFlmT3kWf7SrdFYRmaBu0TGksyrTN292ryHD5venO8jO9rO/JHPMclggGEWIu2BJ8K0XGicIO8CwYfP9A028bnPhjFfO//7oOQ42XbRxDZk2j9V0kxOo429viM1iB/jm8w386JWLlp6jqVLDlsvT53vpD5/mm3ftnHWJnGB+iJg2H/7pcY60XLyenj7fw/G2IT5xy8Zph+lN2+HTj5/j2boeuoZNitK9vKo6j79+9dqUteyNxwOvtPDDkTJKgLJsH+/ZV8EbhMALxiES6gRLgkRlaT0hk1+f6Jj267iuywt1PRxqjm1cAvBifV/cLHnXdXnyXHecZ4wbY+sQj9d0TXssgoXhBwebJwj7KI/XdPHM+Z5pv85/Pn6Onx9vp2s4Wh/fEdR58HArX3qqLmVjnczRlgG+9lz9mLADNPdH+MLTdcJuVjABIe6CJUGyVqDJ2oiO58nabt79oyP85c9PolvxnzMUMdHjlC8ZtktvnKYfE8cBDb2J7UAFi4PTHfH3TG0XXmrsn9ZrBHWLZ+viTwSeruvBiHMNpYJfn+xg2IjtS9Aftnjo+OyazwiWJ0LcBUuCRGVp2X51Wg0/arqCfPKxWk60DyWdClTkBuLatnoUaUr/bxlYncKWpYK5QVUS3/a0aYbT2wYidA/Hn+x1BfWUut2NJ6gnNscJxql5F6xchLgLUo7juvyhpovvH2jiZHv8cPpMee/+CrZOEnivKnHXrtJpNXL5WYJ2m+PxazK3bSuOu+cqSRKv21SImuQXs700k+uqV67721Jhf2VO3La7AU3hdZsLp/UaJdk+ijLi53kUZ/jICcxNb/jKJOY3a/LFxFJwEZFQJ0gp57uG+cQjNZwcWSH7VJkrV+fyr6/fiCeZMk5Btt/DV9+ynZ+80kJtZxC/R+GmDQXsq8qd1vO7g4l7m6d5FLasyuCNW4q4OUkU4O7Ly3Bcl9+e6qS+N4Q74mKX4VW4rCKbj163ViTTLQFu21bMsdZBfn+mE2PEaTDdo3DPnjI2FE6vlCzNo/KqdXk8eDg2FH5ddf5Y691U87bLSnnqXHdMz4Mtxem8ecfMm88Ili+izn0eWWw1kqnGdV3+9MGjHGmOXa3ftauEj1wfPwt9rhj/ef/n47X8z5H4e5J/dlUl776iMu45Z+TnMV60HddlMGLh12T6QiYBj0Kmb25WakuNpXSNH2jo47kLvShyNCoTz+cgGZbj8qWn6ni6roeuoE5xho9XV+fzwaur5nSS19If5lsvNnCybQhVVdhSlM4HrqoiL014Lcw1i+36FnXugnnhaMsgJ1rjh+Ffnmai0lxx544SnjrXQ+ekFfzqXD93bF/Fb0620xsyuaIqh+qCdGq6gnzrhUZOtQ8iSxLbSzL5s6uqKM32I0vSWIOX4kzRM3upsqcyhz2ViRvvTIUqS/z1dWv54DWrGQib5AS0lK3YXdflYGM/57qH2VGaxeZxW1Kl2X7+6bUbgejNva1jkN+e6qCxL0xFjp/Xby6a01I8wdJAiLsgZbQNRkiUJBzULVzXnTOrz2S8WN/Lw6c7xxLiBsMmmiqzrSSL66tz+bP/OTYW5vzWC43sX51DbdcwjX0XM9/bBru40BPiW3fvnHF7TsHyxqvK08r7mC6dQ1GDpSPNUYMlryqxKtNHaZYfnyazvzKHN47khlzoDvLnPzrMqY7g2PN/drSVf339JspzhL/8SkaIuyBl7K/KIT9Ni5tFvDovEFfYO4d0XmrooyLHz45ZNmOxHZfvHWji5YY+IpbDuvw07tldRkFBBj840MR9LzQQHtf4uiLHxz+9dgObizL4kx8enrB/GTJtHq+JX89e0zXMg4dbeMfeilmNUyCYDp987BwHGi8aLOmWS31vmPqRMss/1HRzrG2Qf7h5A5/49ekJwg5wsj3I556s47O3b5nXcQsWF0LcBSkjO+DhdZuK+OHBZsYv4LN8Km/ZNTHZx3Fd/vPxczxe00V/2MKjREPfH79x/YxXHP/y8Fl+d7pz7N8n2oY43DzAV+7x8pPDrROEHaCxL8JPj7TRUhWhtmt4Ru81fjUvEKSatoEIh8Y5J8bDBR4+3cnVa3J5ub437mOOtPTTHzLJnqOsfcHiR4i7IKV86NrVFKR7eOpcD/0Rk7IsH3fsKOHK1ROz2r/9QiM/PXoxwc2wXQ42DfCJR2r4+lu2Tzt8f6xlgD/UxrrCNfSF+ZdfnaJjSI/zLDjZPkR14cwSqACyReKcYA7pDOqEzFiTmskYtstzdb2E4xjaAEQsh5Bpk424XlcqQtwFKUWSJO6+vIy7L0/ezOWZBO5ex1sHeKV5gMvLs6f1fi/U9yV0m+tMIOwQTYa6cnUu336hgWCcG6QqE5M/kJ+mcecuUW4kmDs2FKZTluWjeVyb4URk+lQ2r8rkWEvsSn99QRqrMlOXByBYeggTG8GCMJDAwct0oL53+h7Z6d7EyW1l2X4qE4T4t5dmsiYvwA3rY01nCtM9/PHuclbnXnxudUEaf3tDtej6JphTfJrC6zcXokwRuErzKLx+cxHvuqqKDO/ENVqGR6EqJ8DHfn2aj/3qFD892hq3X4JgeSNW7oIFoTzHT+tg7Mo606uwbwblSbdtW8UDh1snNNIYJSegcfOGCr7wVB0945L8dpRk8MGrqwD4+E3rKc328fyFPoK6zeo8P3ftKmV7aRbvu7KSF+t7UWWZvZU5s2oHKhDMlPfuryTTr/H42W56QgZB3ZrQ1yCgKdyzu4x1BensL8hAtR1+eaKd7qBOXrqHjkGd34zLQXmsppuDjf382xs2CZOlFYQwsZlHFpsBwkLyeE0Xn/h9TUxI/NatRfzjzRtm/FpfeKoursDvKM3ko69ey+O13QzpFtX5ady2rTipv7hg9ohrPPW4rssz53t4qaEfTZF47aZCNhZF694nf94/PdrKJx87F/MaEvCvr9/IzZumZ68riM9iu76FiY1g3nFdl2cv9NLSH+Gq1TmU50z0vb5hfQGuCz871kZjX4gsn8b+1bl84KqqGb/X2rwAl5dn8/DpTqxJ4cejLYM8cKSVf3rtzCYMAsFiQZIkrl2Xz7Xrpu5bEM8dEqIZ9i839gtxX0EIcV+BDIQNHnillfYhnbw0D3+0sySlJhy1XUH+49FaTrYN4QD3Pa9wXXU+H79x/YTQ9ms2FPCaDQWX9F5nO4P83S9PJU1AOtI8sGAGOgLBfJJs50gEq1YWQtxXGGc6hvj735yhYVy99sOnO/n7m9fPaK97PC39Yb57oImazmE0WaJ1MDLB5nVIt/nliQ4K0728fxYr82R8/0DTlJnFpu3gQtxOYALBcmL/6lwePt3JZKNIVYZr1+YB0Za0hu1QkukTE95ljBD3FcY3nm+YIOwA7UM69z3fwN6K7Bn/2DuHInzkFyc53z11hvsLF3pTLu7TMaHZUJQuEokEK4KbNxZwoKGP35zqYKThHR5F4rZtq8gPaPzF/x7jaMsgluOwsSiDe3aXccP6S4ueCRYnQtxXEEHd4niCxi6n2gep7w2xOi9tRq/5g4PN0xJ2gEF9anOOmeKdoo1scaaXP9lTnvL3FQgWI5Ik8fc3r+f69fk8W9eLJEm8am0e20szeecPD1PXc/G3eqJtiE89VktxhpctqzJT8v6n24f4zakOQobNxqJ03rRt1SW1ehbMHiHuKwjHdcdamMaeAztB05dknO+Zfk16ZW7qG1nsLs/m9CRvbYj2kb9tVyl3bC5kTf7MJiwCwVJGkiSuWpPHVWvyxo59/0DTBGEfpS9s8bNjbSkR9x8faua+5y+aQv3qZAePne3is7dvId0rnPLmGzGlWkFk+jS2FMcvndhUlMHa/EDcc8kITLNDWrZP5c6dqXd3e/9VVVy7Jpfxi4PSLB//8YZNfOrN24WwCwREt94S0TWpDfJs6AsZfO9AU0xp6+GWQe57vvGSX18wc8TKfYXxnisqaegLT6gJzwtovGtf+aySa65Zm8fT53uYbIDl12TKs31ETJeKXD937izhqkn+8qnAq8p85k1beKG+jyPNA2T6VW7fvoo0j7i0BYJRSpJY0RamX3qlzG9OdcbtBglwvC3+VqBgbhF3wBXGzrIs7nvrDh54pWWsFO7NO0pYnTfzVTvArVuKONc1zK9OthMc2VMvzvDygasruWVzcSqHnhBJivrET25OIxCsBFzX5efH2nj+Qh+6ZbOuIJ0/2VNGTsAz9pg37yjh1yc7JrQ3BsgNaNyx49J/p04Se9vlYZO29BDivgIpzvTxl69em5LXkiSJe69by5t3rOIPtV34VIVbtxaT7hWXlkAwH/z7o7X84ng7oxr6YkM/Bxv7+cIdW8lNiwq8T1P419dv4svP1HG0ZRDTcdhYGM2W31x86fvtr91UyA8ONtMXp2dEoq1Awdwi7sCClFCZG+Bd+yoXehgCwYriSFM/D5/uZPLi+ExnkPtfbuTe69aNHVtXkMbn79hGX8jAsF0K0z0pq3MvzPBy12UlfOelJiLj2iluKU7nPfsrUvIegpkhxF2w6LAdl58eaeWlxn4sx2HzSD1umogGCAQTePx0+wQxHc/ZzvgeEOPD9ank3VdUsnVVJo+c6WTYsKkuTOOuXWUEPNNLuhWkFnG3FCwqXNfln393hofPdI0de/5CHwea+vniHdvEjUIgGEeyBkieFPnNdgd1fnGiHdNyedW6PDYlCbPvrcxh7yydLgWpRZTCCRYVz13o5bGarpjjR1sG+cHBpgUYkUCweLlrdwW5gfg15Lsrsqb1Gpbt8JuT7Xzv5SbOdk7sePbTI63c8/1X+PpzDXz7pUbe/8BR/uPRGuI1E7Udl9aBCEMRa+Z/iCDliJW7YFHxckMfCaKMnG5fPK0WBYLFQFGWj/ftr+Qbz9fTH46KqirDq9fl8/bdUzszHmke4D8fP0dtdzSE/60XZa5bl88/vHYDnUMRvj7udQHClsPPj7WzoTCDO3asGjv+wOEWfnG8jQs9ITK8GrsrsvjbG9aR7Z+bLQDB1AhxFywqNDlxMEmLY2PpuC4hw8avKRM6zgkEK4U7d5Zw5eocfnG8A8O22VORzf6q3CmT5SzH5dN/uCjsAGHT4benOynJ8uG4TBD2UVzghfreMXH/zckOvvR0HboVXc33hU0ePdvNkG7zpTdvS90fKpgRQtwFi4rXbS7kZ8faYpyugAld61zX5QcHmnn4TCftQzq5fo1r1ubx59esFiIvWHGUZPn5s6urZvScx892UZOg8dJLDX1sL0lcIhcxL/4+f3e6Y0zYx/NKUz8Hm/rYXS724BcCsecuWFSsK0jnHXvLSRuXOOdRJG7ZXMjt2y+GAX9wsJmvPHuBmq5hBiMW9X1hvn+wmf964txCDFsgWHL0DCe2nR3WLS6vyEZJME+uLkgf+//OBNa2hu1ypmPqro2CuUGs3AUJMSyHh4630dgXJieg8dZdpfNiTvPOfRVcuy6f355sx3JcrlqTy56Ki7N/x3V5+HTnWEvL8TxR2837r6wkS+z1CQRJuXpNLt96sYGhON0aV+encfXqXF5dnc/jNd0Tzm0oTOOePWVj/y7I8HKhNzz5JdBk2FAgejssFELcBXFpG4zwf355akLHtV+f6ODvb17P5eXZc/7+a/IC/MW1a+KeG9Zt2gYjcc91D5vUdg2zu0KI+2Jj0LJpMy0koMyjElBEWeNCUpEb4Ib1BTx0vH3C8cJ0D3dfVookSXzilk1sKGziYGM/pu2wsTCdP9lXQe64WvnXbizkSPMAxqTZ9q6ybHZXZM/HnyKIgxB3QVy+9NSFmFaqzQMRvvLMBb59986UOVvNBr9HITfgYUiPXS1keBUqcmbnky+YG1zX5WRYp8kwGV0j1usG63xe1vjEJGwh+diN1ZRl+XjuQi9B3aYqz89du0rZXhoto1NliXftq+Bd+xK7zN26tZjOoQgPvNJKX8TCo0rsLs/mn27esKD3iZWOEHdBDKbtcLR1IO65U+1DnGofSkn/59miyhLXrM2j4WBzzLl9lTkUZlx6lytB6mgxLOqNiZ7jBlAT0SnQFDLECn7BkCWJd+yr4B1JxHsqTrYN8dvTXfSN1Lcblsv57hC13cPsSxOTt4VCiLsgBseNlsnEw3YhNJIpO2xYPHSsjcGIxeXl2eypyJ63mfqfX7OasGnz5LlueoZNMrwKV1Tl8n9vrJ6X9xdMn04rvqmJBTTpJpsDQtyXMvc9X09j38QoWseQzjefb2DvPNwTaruC/PJEOyHDpjo/nTt2rMITp2x2pSHEXRCDV5XZWJjO8/V9MefW5gXYVZrF0+e7+ewTdbQMRPe+f3CwmavX5PKJWzahpcj2MhmqLPF3r6nmA1dWUts9TGVOQKzYFylWkp6fdkzLE8FSYjBiJuzXfrJ9kIa+MFW5c7dN9rOjbXzlmToGx5ICO3i0ppPPvmkrWf74zn0rBTG9EcTlHXvLKcqYGFLL8KrcdXkptgtfeOrCmLBDtOzlD7U9fOuFxnkdZ3bAw54KEYpfzGQlCbvnqWJ9sZRJ1qvdcYlrU5sqgrrFd15qHCfsUY61DvGN5xvm7H2XCuKXJYjLZeXZfPGObTx4uJW2wQi5AQ+3bC1id3k2Pz/WFhOGG+VAYx9/RtX8DlawqFnj1ei0LAbsib7CharCKk3cgpYyWX6NzcUZvNTQH3NuS3HGnK7af3s6amAVj6fPd9MV1DFtlw2F6fzxnlLSvStrJS9+WYKErMlP4+/i7GEH9cSNISJmAmP4BAxFLMKmTUEKe0sLFheaLLMvzc+5iEG/bSNJEnmKwjrf0vzOLdelXjcYth00SaLSq5G2gpMC37u/kqb+MK0DF4W2IN3Du/aVp+z7HQyb/PJEO7rtcH11AavzAjh24ntNx5BBx1APEG1GdaCxjy/csZUM38oReCHuAgzL4bsHmjjSPIDtumwtzuCd+8oTznSvq87n/jjhMIDqaZpWdA5G+MyT5znSPEjIsFlXkMZbd5Xwus1Fl/S3LBVMx0WWQJnGzc9xXRoNkx7TRpIgX1Uo92jzJoz9lk2zYWK6LhmKTJXXgzrFe7uui0N030+SJDyyzOaAb17GO5eEbJuDw2EGxyWcNhsmWwI+Sj0rRzjGs7M0i/veupMHXmmmY0gnN83LH+1YRUWKVu2/PNHON56rpzMYddT7wYFm3rC1mHfvK+N7B5roGjaneAU43jbE9w8288GrV6dkTEsBIe4rHNtx+dtfnuS5CxeT5w41DXCkdZA/v3o1zf1hLi/PoiTLP3a+LNvP6zcX8eDhVsbPncuzffzxnmgnql+faOcPtd0MRizKc/y8dVcJG4uifaAd1+XjvznN0daLXd5Otg/x6T+cJ9uvsX917tz+0QtIu2FSpxsM2Q6yJJGnymz2+fAlSEJ0XJdDw2E6rIsTqVbTotu02ZXmmzOBd12XVtOiKWLQ6zgXv2cT2kyL3QE//gRjbtQNGg2TkO3gkWUKVYWNfi/yElylT+ZsxJgg7BAt66uNGKzS1GXxN86GogwvH37V2pS/bvugzleeuUBv6KKABw2bBw+3sL4gjbsvL+ObLzQQnkbE8NQK6yopxH2F8/DpzgnCPsrRlkE+8OBRHBcyfSqvWpvHx2+sRh25od973VoqcwM8W9dD0LBZkxvgbZeXUpWXxteered7BxrHWrcebR3kYGMfn7hlEztKs3jsbBfHWmN/aEO6xS+Oty9bce82LY6GIozdplyXVtMm4kTYn+6PK9RNhjlB2EdptSyKTGtOVou67XAoFKHXjn1fgAHboVbX2R7wx5yrGRjmRFgfmwwYjkPQcDBdlx1psY9favQl+EyCjkO7aVGyQlfvc8VDx9smCPsojgvPnO/hP2/bwqaiDB4+08GwbtMdNDjSGj973zMPVTyLCSHuK5yjLfHNaiD6AwIYjFj86mQHWX6Nv3xV1BJWkiTu3FnCnTtLJjynP2TwyxNtMT3Z24cMfniomR2lWVzoDSUsgOoMxk+QWQ40GibxAoi9tk1rAqHuiSPso3RbcyPupyJ6QmEfpc9ycFyX9hE72aKRVWvtYJh4a6gO0yJs2/iX+N50stxvUdQHx1oG+NXJDoZ0i/JsP2+7vJScwOyNbMJm4utwdLW+u+KizW1TX4h3/vBw3C3DPSvMCndlTWUEMXi16V8Cz1/onbK05YlzPXQn2AOr6Yx2iCrPTryCy09fvo5WYSdx6HAoQXJQsiDvXASAXdelN8mEYhTTdXhqKMQroQiHQhGeHgrRHDEYMuMnWxpAb5IEqKBt02qYhKeYVCw0OQkmJ2myRPEKz/z/6ZFW/vJnJ3joeDuP13Rz/8tNfODBY9T3zL4z3K7SLBJ1cF6bH7unX54T4J37KsjwXvyeVBlu2lDAW3aVznocSxEh7iuc120qJKBNbzU1EDaxEzjXjZKdxDjCNzKRuHljIVuKM2LOBzSFW5ZxQp1XSvxz8ye4gxUkqAOXgKI5qBF3mJ6xjO7C8LjJStBxOBXR8ST4OySgz7IwJk1wDMfhQDDEsyMThaeHQhwdDuPMYX30pbDO5yFdnvg9qsBar2dayZHLlYhp84ODzQSNiZOzup4Q335x9t4Xr1qXx9VrYrfp1uUHxvJ7JvPHe8r59t27eMeeMu6+rJT/um0rn7hlI0qiWcIyZWVPNQVsLs7kXfvK+d6BpritH8dTlu0f23NPxLVr89hQmM7ZzmDMud0j3eQUWeJfX7+R/3riPIdbBggbNtUFady5s4RXrcuf9d+y2Cn1qHRZFpM/5UxZojxBeL3Uo9JtqTSPWxFLQIVHo3AOVoqKJJGpKHQnWb1rEHd7wQAyEgicC9QbFm2mRb4a9ZNfpamcjugTcgpMoMm0UMI6W0ey61sNk0bDHCs9K9RUNixQGV2morA/zc+F0fHIUO7xkKMu7e2GS+Xxmi6aB+J3ajx5CYlskiTxyVs38+0XG3mleQDTcthYlM479paTl8S3fnWSrpIrBSHuAt65r4KbNhTw61MdOA40DYR45MzEHs5+TeaN24qnfC1FlvirV63hk4/V0jBidKNI0YYuf3HNxTKU8hw/n79jK91BnaBuUZ4TWPYz61UejYjj0mCYBB0HmWiYd0sgcSa5JEnsCPgoNi26RjzaizSVAlWdM3Fb49UYtG2MSYvnTFlmlUdlwLJpTyD+WR6VdCTaTDPm+RBd8beYNpg2NREjYYygy7LG9vSPhSKMTm3CrsugbqA7zoIl6HkVmY1+4Yg4HlVOPOmfbQWB47o8UdPN+Z5hKnL8vG9/5bK/R6QSIe4CAEqy/fzplVVA9EdVmdPAM+d76Q0blGX7uXVLEW/YMrW4QzTB5Qd/fBm/ON5OX8hkS0kGV6/OjStG+ele8tNXzo1ytc9DpVej37bRkMiYxopPkiSKPRrFs0ye6zVt6nSDQcdGQSJPVdjk9yYMIxdqGrsDMg2GQdhx8EgypR6VVSPvfzasJxF3jVJVY73t4YXhEMEk2zjJipd0x8V2o0mI8Xbx202LatueVk9423VpHWk3u0pV8a6wrOmZ4rguj9d08UrTAB5F5vVbCtlQGLuNNp7rqvOpyvFTH8e5clvJzDtIdg8bfPxXpznaMjB2nTx4uIV/ed1GKufQ9W45Iblzaf47j3R1Lf4axoKCjCUxzvG4rrskXcRgaX7eqWbAsjkwHCYy6WdeoCrsTYtffjcVhuPwfDBMcNL+eYYscdvqIvpHEqieGRxmIEkSYTIyZZlrMgL8YXCYcIJb1Da/l0pv8gTMNsPkbMQYG6tXgkqPh/XLZOWd6mvcsh3+7lenefp8z1hUJc2j8M695bxzirawD5/u4HNP1NEbvrhps6konc/ctpnCjJkZGH3816d49Gx3zPH9VTl88c3bZvRaqWSx3VMKChJPusTKXZCUpSrsgigXDCNG2AG6LJsO05pVNMAjy+xO81ETMeizbSQgW1FY7/OgjQvPZqoyA8bMxV0CykYc+DRJiivuEpA+xQpctx1OhvUJf7/uQq1ukK7IoiY9Dj842MxT53smHBs2bL5/oIkb1udTnpN41fzaTUVsXZXJT4+0MqhbrM4LcOeOEnzjEnYtxyVkWKR7Exv+hAybQ439cc8dbh6gfTBCcebSdzuca4S4rxBc1+XJcz08c74Hy3HZUZrJbdtWoYo9rGXNcJLyswHbYXobLbGkKwqXpfnHSiPjTQLXej30WU7MCn8yWbKMAxiug1+WKdU0VvuiK/JCTWVQN2Kek6so5E4Rkq83zLgTGxdoMxIbzoRsmw7LIiDJFGpzl9uwGDncHN/3YlC3+c2pTj5wVVXS55dl+/nLV8c61VmOy+efPMcfaroZNizKsgO8dlMh9+wui/l8I5bNQCR+SWXEchgIm0Lcp4EQ90XAsZYBHjjcQn1fmEyvyjVr8rj78tKU3lQ+/Yfz/OxoK/bIve53pzt55nwPn75ty7z0XxfMPRHbZtB2yVQkfCPCl+yblVNgu5LsGk1XFPak+ajTTYZsm6DtMFmm02SJy9N8+OXoaCav5jb4PBiOS5sZNQCSiAr7toB3yt9Hsj7yZpy/3XVdToR1WseZDWUrMlv9PrJXSDa8lSRHwrJnf72898eHOdl+sYKmpmuY2q4LyBK8fffEkrZwksZUPlVmbf70+lesdIS4LzCvNPXz9789Q1fw4m3vUNMArYMRPnr9upS8x6Gmfh463sbk3+ZzF/p44JUW7klQLypYGtiuy7FQhE7TwiRaqlaoqaz3eggmWbm3GCZlHm1OXePSFIVtAWVsnC8HQ/Tazpi06o5Li2FR7ffGNeWRJIntaT7W2Rrdlk2aIpOrKNOa+Eb7yMc3VJpcqw5wXjdoMCY+vt92OBaOcE16YEWs4DcXZ/BynJC4X5W5bn3erF7zfw63TBD2UVzgd6c6edvlE1fvr7QMxtyrRlFlSWTMTxOxZFtgfvxKywRhh+hF//sznbQPpsaK9alz3ZgJfi1HWuL7MAuWDidCEVpGhB2ictZiWhwIhUl2BQVH9p/niyHbYWCcsANYRMfQbSbv7BVQFCq8HvJmUAJY6lHJizNxSZMl1sTpeNiRwF1v0HZoS3BuufGOvWXsKJmYpCVL8IatxWwpnnnWO8BvTnUkPNfQFyY0yWJ2XUEaXjX+d1yWM7sk0JWIWLkvMBd6QnGP94ctvvxMHb0hk84hnfx0D6/dWMibtq+axbuIH8NyxXLdsfr3yQxP4SYI0ZKyQESnXNPwKjKO69JkmPRYNjLRCMCqFO07Nycoa3OITkbytdQluBmOS8ix2Rnwcl436bVsbKJh9rU+T9wSOjPJx5XMOng5ke7V+NKd2/nRoWZOdwTxKjJXr8nltZsKZ/2aiRYWELW/9k3a8thUlMFlZdm8UB/b0OratbOLHqxEhLgvMH5P4pDoY2e7xsJTDX1hjrcOMqRbCW0XE3H9+nx+dqwV3Yr9kV1WljWj1xIsLnTHJZLg3jmdHVLDhTMRgwu6wTqvhy7LpnNcDXuzaVGhadPa456KZHvgkxsNzRbDcXgpGGbQiUYIVKBUU7kmY+qwerosx03+U0lsA7wc8WsK77miMmWvV5kboKYrvr/87rLsuGH2f7h5Pf/+aC2HmvoJmw4FaRo3rC/gPVckL8cTXESE5ReYfRU5cY97FSlm38mwXX51sgMryT5qPHaWZnHH9hIm94i5dm0eb9lVEv9JgjFCjkPQsqdsmrMQ+GSJQII9yJm04NFHRL4zjjlNk2kmjA7MhKwke/uZ6qXfimzX5cmhaG396DdlAQ2mxemwjuE41OsGjbqBHee7rPJqcT+zQk0lc4Uk1M0Fd+woJssXOzkqSvfwiVs2xn1OQbqXz92+lW/ftZO3X1bCu6+o4C+uXTNrt7uVyMqZji5S3n9VJa2DYZ4530tkZPlSleunKY7TE0B9T4iWgciMXZruvW4teyuzeepctBRuV2kmt2wpFskpSeg1Lc7qOn1WVCyyFJlqn4eiFIaPZ4rtupwJ6/RYNjYumYpCjqIQcmLFt8KjYRPtCT8daU7kJu8CnaZN4SX+3RVejTbTimknm6XIrJ7CjGY61IaNuJa3AHWGSYtpoo+cP68brPd6KR23956vqaz1aTQZFqbj4pNlCjSV9b7l26lwPthdnsM/vnY9P3mllZrOIJoisbs8m7+9YV3SXhW/PNHOd19qorE/ei/80aFW3rG3jNu2zWZrcuUhxH2B0RSZf3/DZk60DXKgsZ/8NA/XrMnlru8eoicUm2SU6VfJStJ5LRlXr8nj6jViz2o66LbDkXCE0Lh9637b4VgowhXpMhkzzDB3XJc208JwHVapGr5ZlB+6rsuh4fCE1fWwY+GXJCo1lV7bIeI4+GSZEk1l3UhzlSqvRqtpYToODhLtppkwlD8VrYZJu2lhuy4ZisIar4Ynia/4eBRJYneaj9oR8xvXhRxVodrrQU3BiqzHTj6F0cf9zcOOy6lIhBxVJqAo6LbD4XCEHivaE08hGhVZ5/OkfLVouS6nw/pIHoBLpqyw1ushZ5rdGZci167N59q1+eiWM62M99quIF94qo7BcfXuTf1hvvhUHRuL0qe0wxUIcV80bF2VydZVF7NRd1dk8/szXTGP212enbStqiA11BvmBGEfRXehXjfHyruS4bguNRGDVsMg7F7cA6/FoNzrYdMMLVC7TCtu2DzsutgS7EvzcUE3MV0Xl2hIWiNajlY9bjKihCXOzyBLXgKKNZVToQgXjIsV4h2WTadpsTfNP+3JikeW2RKYaEAStm3OhHUM1yFDVqjwarNqnzrTCYLuwvFwBI8k02tZhMd93TbRv+9EKMLOFDaoGZ2gdY37HkOORb9tszfNv+zD/95pbr/84nj7BGEfZVC3+cXxdv72BiHuUyHEfZHytzesI6hbHGjsx7BdPIrEZSOhLMHcE3ET5zXo08hCBzgSitAap4TKAOp0g3RZonwG4ejeZG5zpsXzlj1hQtJqWuwMxBqwrPVqdJkmg5P+jgJVQXZdOsa9jwRUejR8skSjEWv9Mug4nNONsfasM6XNMDkZjoyLJFg0mya7A378M4xuFKjqBNGcDl2WQ7IWNt2Wje26KevV3m5acccYcV0uGAY71IXpdLfYiCfsowwlMbkRXESI+yIl06fx+Tu2caRlgFPtQ2wsTOeykX7ogrnHLyUWFt808hT6R7zbE+ESvdHPRNw9SQQm4oI5KUks6DicDevsy5iYn+GRZfakBTivG/SPeMPnqtG9ZRloMSx6LAtJgiJVpVBTqY0YCfftB+yZCeooo5GNyVsEA7bDWV1nZ2BmQlfl1eg0DLqnOfmaDqbrYrkuEtBqWERch3xVnbVjXX+SyUcyq+CVRmVu4u++IltMgKaDEPdFzs7SLHaWinK1+abKq9FimjG14j4pem4qui0rYYLaKJPFeCoqvBoNhhG3fj2RBUyfbWM4Lp5JExK/IidcbZd5Ncom/Y3J5jOzXdN2mBZDCerH+2a4Aoeode2+jDReDIboSZFQpskyw5bDiUhkLNKhYFCoqewK+Ga8H+9Nkp+gJZlQrjTuuqyUP9R0x5TQVRekcfflZQs0qqWFuJoEgjh4ZJldAT8FqoJKNMEqT5XZEfCRPo1kOu80btRpCcLOjuvSZVh0m9aE8jtVktji95IxTiA8QLmWeI7uAm4KPOTLNQ1vAh3LnWUNeDL5na00S5LEFekBqr0eMmUZvySRp8ps8noo01TSZZlMWWY62Q4yUO5ROanrE7YwbKDNtDgbmbmDZIVXi1u6KAGrknyPK400j8qnb9vMLZsLqcjxUZHj4/WbC/n0GzeT7hWf03QQn5JAkIBsVWFfegDDcXAA3zSzwiFqfXpBlxlMsDL1S1Lc8q8m3Yg2Whl5XqYss97voXikDK1Q08hX1QmZ97br0GNZhOJoeLaqJF0tThevIlPt9XI2ok+IEhSoCtWzLBUr1lQCshQ3cTH7EvzuJUlig9/LhiQJi4eCIdqSRAdyFZlyj4YmSQwkiAJ0mTabZhghViWJbX4vp8PG2LXhk6Dc44mJlqx0SrL8/PPr4tfBC6Ym5eJ+5swZPvvZz3Lo0CEsy2Lbtm18+MMfZu/evQmf89GPfpRf/epXcc997GMf453vfGeqhykQTJvplnqNR5Yk8pTE4r7Wq5E5ScD6LZtT4YniOeg4nAhFyEyXxyxTZUmi1KPhjDSM6RjnKz8enwTrUigYVT4PeZpCs25i4ZKjqJR64lvTOq5Ls2ExYFuokkSFRyNt0t+rSBJrPB7ORPQJ+/lpskR1Curek7HW56EtGN9LIl2W2T/SKOaCnnh1bs0yIlIwMkFrNy1M16VYU2d1jQkEyUipuDc2NvL2t7+dNWvW8JnPfAaABx54gHe/+9388Ic/ZMeOHXGfFwwGWb16NZ/+9KdjzpWUCAe1mdLQG+JHh5q50BMizatyzdo8bt9WLBouzDMdSVaGHZZNFdHSqNHvpckw4op0xIUG3WTTpPK702Gd5jhJex6gxKNR6dVmXI8/FRmKEjOOyViuy4FgmJ5xiXZNuskmvzcmgbDK5yFdkWk2TUzHJSDLrPHObac6gGxVpUBR6IqTDFigXuw6V6yq1GLEtKqF+J3lposkSaxK0E9eIEgFKRX3r371q9i2zTe+8Q1yc3MBuOqqq7jpppv43Oc+x/333x/3eUNDQ+Tl5bFt27ZUDmdFcr57mL/55akJDnfPX+iloSfEX1+3dgFHtnTpt+yoy5vrkqnIVHk9Y6VRtutiui4eSYpJrkqWMDdg2Tw9OIzuuqTJEmUeDSPJRrMx6bVc16UzgSWsA6z2xq6U54uzYX2CsEO0/K8mYrDKo8XUo+drKvkLsN+8PeDlWCg6VofozbBIUyf4D/gVhRKPRv2kVrBeop+xQLBYSdkvynVdHnvsMa688soxYQfweDzcdNNNfP/732dwcJDMzNi2gUNDQxQXF6dqKMueg439vNzQh9+jcPu2YrIDF1dD3zvQFGNd67jw61MdvPWyEkqyRBnJTKiPGBPCxi1mNJnqcr+PWj3quW640RVnqUdlrdczturzyBJmgrIsg2iTEwDddukP6+QlMfgITEq+s4l2PouHBQzbLmkL5IfSmyBiEXZdmg2TqjkIudsj5WozyV73Kwr7MgL0WRZDtkOeqsSdEG3xe/HLMp2mieFGM+hXezXyRALcosEaaSWszcL5cbmSsquztbWVoaEhqqurY85VV1fjOA41NTXs3r075vzQ0BDr1glzlqmwHJd/+t0ZnqztxhjpKvO/R1r5i2tW87rNRdiOy4tx2iRC1BTiD7U93LNblJFMF8t1Oa/H1nf32w4vDIcJjVtNDzkOZyIG/ZbN7vRoXXmlpnFqmk5wDhCxnbgJZhlybPKdQjTbvj9OspdPguwUNGKZLcl2ouM1bLkUukyT87rJoGWjSBI5qsImn3dGBjg5qkpOkjuhJEms9XlYKzzmFx0t/WG+/OwFjjUPYrsum4ozeNfecraL8uHUiXtPTw8AOTmxXc5Gj40+ZjJDQ0N0dnbywQ9+kGPHjjE4OEh1dTUf+tCHePWrX52qIS55vn+gkUcmWdJ2Bg2+8mw916zN47+eOE9vHD/6USJJTFUEsTQbJuEEYhRKcLzdsqkN61T7vaz2eRh2HJpMa6y0S4WEZjA6sNvv47xu0m9bSETFaoMv1ntdkiTKNY1BW48pG1ulTd/vfS7IUmUG4+wxeIi2X00V/ZbNkVDkome86xI2LUKOw5XpgUvyhHdHDHY6TQsTlzRZptKjUSz2yRcNYcPiPT85Qs/wxXves3W91HUP85U7txMybX56tI2uoE5Bupc7d66iuiB9AUc8v6Tsl2YY0RWKxxM7u9VGyngikUjMOdd1GR4e5tSpU7zvfe/jve99L729vdx///28//3v5z//8z+57bbbpnz/nJwA6hLwZS4omL0n8pG2YNzjHUM6Pz7WxpPn40+eRuk33Ut6/6XIpfy93f1BCM+8lrnNttmXl44iS1xPJsOmRUMwQkBVyPIo/LqpGyvO3MBy4bRpsirdy2ty81Hl2H388RQAGQPDnBsMEzQtfIpMRbqPnbkZC5o8uW9VLsG2XvqMi9MYGdick055fuy23Gw509E3oRnMKP22w6BXpTprZp0Tx/N8Rz+146IuIcdmwHHIzPJTmb64trZW2m96lLu+8cIEYR+ldVDny8/Xc7R5gO7gxe/w2Qs9/Mcd27lhU9Elve9S+bxTJu5ebzQJxTRjP+xR4ff7Y38UkiTx9NNP4/f7SU+/OKu69tprufXWW/nUpz7FrbfeijzFSqSvL3Qpw58XCgoy6OoamvXzh0KJQ7zHGvoIJvFjBqjrGLqk919qXOrnneW6+CSJyAxDyYOWTUPHABnjJpsFAJaFFbHIVZS4DWAcoM+w6DMsuoMR9qT5pxTpXGCvz4s7utfvQHd3/EngfFBQkEFkIMxur5c6SWbIttEkiVWaSrErpfT66wslnni19g+TbczOFjdk29QNxd5PDMflWNcggfDiiYBd6jW+VAnqFkea+xOef/lCL0P6xO+/c8jgi4/WsC1v6t9VIhbb551sopGy2F1BQQEAvb29Mee6u7snPCbec8cLO0QjANdccw09PT20tramaphLmvUFaXGP+zWZ3eWx2yGTyfAu/sjGYkKTJKpmEYbVSG4zut3vizZpSfIaXZZN1wy2URZbmaNXkdnk97I3PcCuNP+chLM9Sf3/Z39r67TshHa+0/F/NxyHuojB+YiOPvL4XsviXESn1TAnuA4KZseptiEiZuLvIqjHn9id7hiiMzj9johLmZSt3IuLi8nJyeHs2bMx586ePYumaaxfvz7uc+2RshllUqaqPmIgMRoVWOn88Z5yDrcMUtdzcVUhATdvLOSePWU8VtvFmY74qzaPInHDhviTK0FiEpnQJCNfU2K83MfjU2T2pQcYsGwOhcJxHdpcoM92KJzxu68cSj0qnWash3+6LFOZpExNdxx0xyVNkeN2e0uXZSTiJwZq4x7vui4R10WVpLHj9RGDc7o+1gznfMTAM5IkOXolZSkyO/y+Zd/edS4pzfET0GRCCQReU6SxpOOJx2XUaTR+Wg6kNOvm5ptv5vnnn6er62LSVygU4pFHHuHaa68lLS125Xns2DG2b9/Od77znQnHw+EwTz/9NFVVVQlX/CuN0mw/n79jK2/ZWcJlZVlctTqHj163lo/fWI0iS/zdDdVsKopNGClI9/CufRXctEFIxUwI2VOvnj1cbJwiEzVA2eafXvvTLFVJaoSSrAucAIo1jY0+L2kjN2sJyFFktvt9cUXbcBwODYd4cnCYp4Mhnh4apjZOTkWeqpCTINu+cCQhsD5i8MxQiD8MDvPEQJBDwyG6DZMzEX1ClzsDCI4Tdoh2vTsejogV/CVQmuVjT0V23HN7KrLZVRY/W377qkzy0lZG1UNKCzU/+MEP8vDDD/OBD3yAD33oQ2iaxje/+U3C4TD33nsvAA899BAf//jHue+++7j66qvZtm0b+/bt4wtf+AK6rrNnzx76+vr4zne+Q2dnJ1/5yldSOcQlz6pMH3+ToKf7llUZ3P/2XTxZ203bQARVkfCoCjdU55PpF1m+M2XIdhKGZyEqJlsDPgKyTJ9tka0o5MywiUqxpsbdf0+TZSqEScqUrPZ5qPBq9Jo2mgxZipJwi+JwKDKhl/qw41KjG9Htl3FlbpIksT3g41goQu9IWF0l+l1t8Hlo1k1OR/SxiIEBtJk2faadsBJiMn22Q49tkz/pegnaNkHbIUdR8CoypusStm38ijIhaiCAj9+0HvvhsxxsGiBiOQQ0hVety+Ufbt5AbdcwHYNnqB/n+bE6188Hr6lauAHPMykV96KiIn70ox/x6U9/mnvvvRfXddm5cyff+973xurYHcfBtm2ckXCnJEl8+ctf5tvf/ja//vWvue+++1BVlR07dvDd7343qSe9IBZZkrh+vYh0pIIsRUYjcTvVdR6NkpG95Nn2967wehh2XJr0ixanEqDg0m5alIrSqylRJIkCT/JbWa9l0R1nEuUCraY5QdwB0hWF/ekBui2boGNTqKpjBjctphm3nW9sLVBywuO2fAzH4WgoQrdlYxPN2/BIEjYuERe8kkSxprLF772kEr/lRG7Aw+fu2EZN5xA1XcNcVppFyUiv983FGdx/zy4ePNxC55BBUYaXP9pVQtoU18lyQnKXSWxoMWUwJmKxZVoudy7183ZdlyOhMC1m7K18nUdlYyB1JVHHgyEaJomPAmyN48e+mFms1/gFXedkOH4iVUCWuD5z+vXPTw0OJ+xDP128ElybnobuurSaFq2GmdA7YTxVHo2tgYvbPov1815MREwb03bJ8F26sC+2zztZtvzKmcYIBNPEcV1OhXW6LAvdcRldO9tAQJYp0dRZtzmNh+m6dMTJwraBRsOkzKMtumz4pUa2Eq1OiCfJ/hkmWHlliaFL03ZKNY3zukGjYU47lA/QYVpsct24OQWCiXQFdT7/5HkOtwwSMW3WFaTxtsvKeHV1/kIPbV4Q4i4QTOJIKELrpEQ6Gdjg87Da60l5WLTXtBLW0g/b0V7yIq/60shRVfLVWH8BiajQzoQyTaXXsuNOFEbxSuCTZLJVhVxFos10GHYcPDIUqxpeCQ6H9Rk3jY24LrrrEhDinhTHdfnYr09ztGVw7Njh5kEu9NSQ5VPZVZ69cIObJ4S4CwTjCNo2nXEy5B2g07JY60t9WaZflhOuKjVZSm1JywpmV8DHibBOt2VhutGStzKPRsUMtz3KvB4MF85EYq1/R1nt9bBu3LVSOumyOTwcnlU3eL8s4RXCPiWPnOmcIOyj9IctfnqsTYi7QLAcsVyXcxGDfttGAnJVhbUjK/JuK3HGcyhO3WwqyFQV8hL2FldFSD5FaLLMrjQ/1kibXp8kzfqzXePz4LguZ+I0BvJJEhVTJEImaOg3JatUVYTkp8EPDzYnPNc+OHNL6aWIEPdFRlNfiJ8da2NIt1mTG+COHavwaSIomyps1+XlYJjecULaZdn0WTZ70vxkKYkNTOay7nxbwMvRkE6vbeMS/WEWaMqE3uKC1KBKUkwjntmw1udhyHFoG9cYyCtFt2+matyTqcq0JZhFKkC6HB1j2HWJOC5+WRqp6186yZULxdnOIc53Dyc8n5e2MipQhLgvIn53qoPPPVlHX/hi8dUjZzv5zJu2kr9CjBfmmgu6MUHYR+m0bFoMizKvRp6i0B3nMcVz2L87oChcke6nx7IZcmzyFFU4mC1yJEmKWuvqJud0I9o9DgmQcF03aVRglapyDiOmpC5Dgqsy0lBHJge262K4Ll4peRMhwUWeOtdDImdaCXjdJTaOWSqI7bxFgm45fPvFxgnCDnCyPcjXnq1fmEEtI3TboS6i02okzk3utaPndgS8FKjKWBKbT4I1Ho11c7xqkiSJfE1ltdcrhH2JELZtanWDAcch5Lh0OQ5HwxFOTdFN8JwRK+wAziQRVyQpmpMhhH3aeBK4CwKUZ/tEtrxgfnm8pouGcW5K43mitotz3cPIwLZVGbzvykoyfCsjtJQKasM6FwwDY4p9TnnESNavKOxLDxC0bYZtlxxVXtD+6IL5w3FdgraDV5aSNv8ZpVY34vYfaDJMKrwaGUr8SVpfHEMdiLrmtQnzokvitm3FPHC4he447WBfv2VlrNpBiPuiwUzSbWpItznVHjVOONE+xOnOIF++czteVQjOVHQYJrW6kbRsCaL7nCWT3KvSFYV0sYBeMZyP6DQaFsOOg0rUY36r34c/yUpwIMHv1gLaTSuhuCebZzqui+u61Okm3ZaF7bpkKgprvRr+BK8nuEhOwMOfXlnF156tH4uEqjJcuzaPd+ytWODRzR9C3BcJN24o5L9fbKR1GpmcR1oG+fmxVu66rGweRra0aR2X7JQICShWFXJn6AsvWD406QZnIsaY6FpAh2VjhSJckZ64/3ey6XWyc9mKQsiJ3SIKyBIlHo0joQgt40oye22HXstmT5pPCPw0uH37KvZX5fKL421ELJvd5dlcuTp3xtURjuvynZcaeeZ8D/1hi9WF6dyyoYDXLIEOm+JutkgIeBTetruMrz1bz7ARP2Q3nrOd8Vu7CqKlbucjBkdajGn1RHeJ3sgbdWPGNc+C5UGLacVdTffaNl2WRWECo5s8VaXPTlQOF/9aCtk22bJM/0gr2FFUYI3HQ59lx5goQbT9cJ1usiUgxH06FGd6ef9VVZf0Gp994jwPHG4d+3fLQITDDX3YjsPNizwxT4j7IuKtu0pZX5DGb052ENRtmvpD1HSF4j42MIeZ20sZy3V5ORga6+Y17ecBZ8I6WbJMlvhsVxyRBIXnLtHugIUJtsCrfR4GbXuC850HWO/zoE2ytbVdl6OhCJ2mhcXFkrc0WcYjS5RpGnmayplQJGHYfiBOFYdgbugNGTx2tivm+LBh87Nj7ULcBTNjV1k2u8qyATjY2M+9D50gPKmuI82j8Potojd7POoixoyFfRQDeG44TJVHY3Ngej3ZBcsDvywRjHPZSETbyCZCkST2pPlpNy16LRtFkqjwqATiPOf4JFtjm2iv91xFZvv46y1J5Hi2Bja67XDBMAk7Dh5JosqrjXW5E8TnQGM/PaH4PSGb+sI4rruoqxiEuC9idldk854rKvjRoRZ6Ry6y/DSNP9lTzpbizAUe3eKkP8nKRgP8kkTQdRPuwzvABcMkV1UonmbGsuu6dJjRlqISUOrRZt0CVrAwlGkavSPtVseTryrkTxHJkSSJVR6NVUmuF8Nx49oaA3SNJM0pksT5iEGTnqjJcNSxcKb0WzaHQ2GGx0UnWk2T7QEfRTP01V9JVGT78SgSRhxnykyfuqiFHYS4L3resbeCN2wp4nenOpEkiVs2F5IdEPvCk7FdlybDJJhk1V7u0Vjr9XAoFE66uneJZjpPR9xd1+XwpBVZo2Gyxuthg3CXWzKUejUs16XBMKPZ8lJ0P31rir7DiOMQv+FstBmM4boMWhY1ET1u/bsMlGgqq70zF+OaiD5B2AF0F2oiBoXC3jghm4oz2FmaxcuN/THnrlidO/8DmiFC3JcAeWle7tlTvtDDWLQM2jaHh8MMJTHsVoFh2+apoWEMSGgxO8p0beQbDDMm+ckm6oRXpKliBb+EqPR5qPBq6K6bMovaUdIUGb8sEY5zjbrAkeGox0WiuFOJqrIzzT/j97Vcl/4ENfUDtsOAbZO9zKtEdMvhewcaOd46hAvsKMnkj/eUT6uU+OM3VvOvv6/hWOsAphNdsV+9Ope/uLpqzsd9qSzvb3WJMRQx+fGhFhr6wmT4VG7dWiTC79PgdEifUtgDsjShZ/pU2p01TQ+BbjP+jdMCWg1TiPsSQ5IkfHOwklUkiZKRHu7x6LGdZFvtqJOS8wYsm0bDwGk1kEybSo+HrFlca3PTCmnxYNoOH3noBC819I8de7G+j6Mtg3zu9i2oCTwMXNfFBUqz/XztLdt5pWmAC70hbtpZwlK5IwtxXyS09If5m1+conZcw4Pfn+niQ9es5o4dqxZwZIubiOPE9YqHaCizQlMp8WocGo7v/hev1WquIrN6miVxTpLb43K/cQpmxkafBwVo1A0icc4nu14yR0QoYju0mAbnI2Y0zD9ip9xuWGwL+GL2/VVJIjtOH3uALFkme5kn1T10vG2CsI/yYkMfvzjRzpt3lEw4HjZtPv9UHQcb+wkbNmvzA9x1eRlXrc7l8opsCgoy6OoamqfRXxpC3BcJ973QMEHYAYK6xfcPNPH6zYWiM1wCbDdxKFMC1vq9mI6LnuDO6QBVHo2g4+C6LtmqyjqvNu2s5Gwl/o1TAgrFdyYYhyRJrPd7sVyHugQ9DuJNNnMUmWJN5ZXhMF2mRbx0OwM4rxsUa7F76Ot9XoYnJdR5Jaj2e5b9fvvx1sRCfLx1cIK4u67Lx351mucu9I4d6xo2ON0xxK7SbAZ1i5x0L3vLsrh9e/Gi/+yEuC8STrbFvwibByJ88ak6goaFabtsLErnrbtKhdiPEJAlsmSZgTj+3rk+DZ8koSkS/pH2mZNJkyU2+72zznxd6/PQbdkx0YNSTSV/me9lCmaHT1aIbtzEkqsqqEgMODYykKtE2/6eCOtxjW3GM2A7hB2XgDLxWs5WFa5MC3DBMAk5Dl5JotKrkb7MV+2QvImMNuncyw39vNzQG/O4gYjNk+d7xv79xJlOzncP8zc3rEvdQOcAcfdZAvz0aNvYbP6xmm6eu9DH52/fSsAz8cdpWA6O664o4ZckidVeDyfDkQkrGg3Ykp2OFLFQibZrvWDErnlWadollbQoksS+dD91ukG/ZSMjka8pVHi0RT+zFywMlV6NRsMkOGlCqgKrvVpMeVrYtqfltCgDiS45ryKzcQVWb1y/Po/fne6IKWfzKBI3rJ/YHe5E+2DCVrHjcYDfnOrgzp0lrM4LpHC0qUWI+yJhW0lmwq5wk6+3w80DfPHpOtI9CrrtUpXj42DTAEdbB7Fsl01F6bxjbzmXlWfjui6DEYuAR4mZqS4XyrwafhkaDQvddfBKMhUejdUZfroi0YjIZr8XRZJoM00ijotfllmlqaxPQRtXRZKo9q28G6dgdiiSxE6/j1ORCH12NGsjXZap8sQKO0DQduOG4ieTrSj4RffCCVy5Oo+3XlbK/x5pHTMDC2gKd+4s4YqqieVsRenT/w0PGzZPnutmdd7ibUQjxH2R8GdXVnKua5gz4zzjExkoADx0rC1hudbz9X3U9YR449YinrvQS0NvmEyfyr6qHO599dplubLP0zTykhhySJLERr+X9T4P1kip02I3oRAsX7I1hSu1NAYtGxOXHEVJeD1mKjIeiaQti9NkiU1ighmXD1+7hps3FvDomW4kyeXGDYWsL0yPedz+qmzyAlpCV7rJBBb5fVRy3TgbkUuQpZDBOFWmZciwefBwCw29YdJ9Crrp8PPj7bN+P1mCyRViN6zP55O3bp71ay5WXNdl0I6GxdMVGUmSyM9Pp7tbNNiZT5ZSNvFS4uhwhCYzVnTyvSp5kkyV14M2bnLQa1m0jSTtFWkq+ZpKv2XTa1mkyzIFcRLvVjJnOob4h9+coX5S9NSnykSs2Fh9SaaXH79jd8zW6HxTUJCR8JxYuS8iAh6Fd+67GOa50BPi0ZougvrsmkXEK/1+4UIftV1BqgtiZ65LlRbD5HzEYNCJ1gqPrt/VoWHSJYk1Xs+UFqICwWJmW8CLGo56J+hE99cDssSO3Az84Yn78adCEeoNc2w774Jh4pck9HG2y7mKwo6AV/jLj/CN5xtihB1gTV6Aogwvz9b1jO3HF6Z7+PNrVi+4sE+FuOPNAMd1GYpYpHmUhOYHqWR1XoC3X17G915uIhxn9jgbQqbNkZbBZSPufZbNidDFZDoXxmw+DdshBAzYYfakBYShjGDJIksS2YpC08iV7hBtOvN0ex+bfN6xVsVdpskFw4ypmZ9cKdJr25wI6+xLX7wJYfNFULc40ToY99zZziD/cPN63rxjFQeaBijKCXDT2hyy/IvfAlyI+zRwXZfvH2zm96c7aR2IkBvwcPWaXD70qjUxzlGp5r37K9lXmc3vz3RhWA4FGV6+91IjkSn8UeOF5CG6j19dkDZHo51/Gg1jymQj3YV63WCnOnP7ToFgMeC6LhcMI6aAznShXjcpH6nOaEvQlz4evZZN0LZXRElcMlw3Nml5/DmAfVW57KvKXVLbTkLcp8EPDzbz1WcujCWwBY0wP3qlhbBp8/Gb1s/5+28ryWJbSdbYv3uHDX42rjwOwK/K6LaD48La/DTW5AV4vKYrRuB3lWWzszSL5YKexHZ2PMNx6uAFgqVCxHUZTNDsaNBxCNoOGaoyI1dEGwg7LukrW9vJ8KlsKc7ghfq+mHObitNZm780F0NC3KfAdV1+f6Yrbmb60+d7+LOQQc48d2n72xvWsak4g+fretBtl+r8NO7ZXUrzQISw6bCjNAtFgvJsPw+f7qB1UCfNo3B5eRYfu3HuJyPzSbT0Z+qchFQ2AREI5hsFCYX4K0wF0EYiiLmKSlMCg5zJyIBH/CwAePcVFTT0hWgd0MeO5QU03rm3YlaJh11Bnf890kpfyKQ8x88f7SyZ9yolkS0/BcOGxW3ffJmBSPwfzBffvJX9VdNr/7cQIZ2waXO2M0hRupdVWb55fe9k9FoWrYaFi0uBqlI0g+xd13XpMi06LBvTceiy7ClD8zv8Xsqn6RcvmD1LKWy51DgYDNEex+q4UFXYO7J37rouh4bDcR8Xj1xFYX+6X2TOA+2DEX7ySgsdQzq5AQ9v3rGKNZNW7dO5vp85382nHj9Hx9DFJkEbCtP41K2bKc1O7dagyJa/BPyaQm6aJ664Z3oVVucu7oQUv6YsujD8mbDOBd0YW283GBYlqsquNN+UNxnXdTkWitA8aW/RN5INHG+mmqvIQtgFS57Nfi+RUIT+ceH5PK/G5nHNYiRJ4rI0P/W6SY8VvWflqAqNukEozo+jd8T9rtAz8z7xy43iTB9/9eq1l/Qajuty3/ONE4Qd4GznMF99rp5/u2XTJb3+TBDiPgWyJHHt2jwu9IRizu2tzKE4c/GshpcC/ZY9QdhHabUscg2TqilEuMWwaIpjxam7Ljv9Hroth/ZxzTVkQEVi0LbJXOGJQ4KlTUBRuCo9QIthMew4+GWZXaU59EzycpAliTU+D2u4+FtqMixw4+/ZBx2Hwjkd+crhlaZ+znbG99Y41jKA7bgoc5yEPYoQ92nwZ1dVETFtnqjtpjNokOlTuaIyh4/fWL3QQ1tytBhmwh3ybtOmagqTrS4r/vaIC/TaDmt9HrosC3NkleIAnbZNaDjC1RkBsfcuWNJIkkSZ9+Iqe7ouiwFZYjiOtitArmhwlDIMK370EKIdLOdzD1x8q9NAkSU+ev06PnBVFbVdw5Rl+yiYgQ+xYHok/lmMf0xiWgyLDtMiEudBQcehXjdYJyw6BSuQco9Gn2XHpNoVaIrwf0gheyuzWZPrp6431hBnc1HGnJdOj0d0GZgB6V6VXWVZQtgvgQJNIdHlPZ2bTG6Sx1gQV9hHCYlyOMEKpcSjsdXvJUeR0Yiu5Cs0jV0B4f2QSlRF5u17ysn0TVw3l2X5eNe++W0yI1bugnmlQFUp1VSaJ+2b5ykKa6aR9Fbh0eg0LTqnmQ08Hq8k5rKClUuZ10OpR8MmuqobDek7rsuAbaMikSFW8ZfMG7cWszo3wC9PtNMXNinJ9PK2y8vmPT9LiLtgXpEkiR0BH7mGRddIxnuOGm18oUxj/1CWJHaPZAN3mxZdtj2tfSwJsB0H13VF2Y9gxSJJ0oSbfqNucEE3GRrpy5CjyGzy+chZ5B3PZoPjurgu85LQtq0kk20lmXP+PskQ4i6YdyRJosKrUeGdXfnNaDZwpVfjycHhGN/seLhAnWnh003WpKCHu0Cw0Fiuy9mBYYZ1gxKPNq3J8Xi6TZNTYX1sH340KfVoOMLV6vJJPu0YjPClZy5wrHUQy3bZVJzOu/dVsGXV9MT3XFeQh0934eBy++5yygNLo2xQiLtgyaJIEnmqEhPiT0arKcRdsPSpixhc0I2xie053aDa66FsBn4OTYYV18su6Dg06CZrl8HvRLcc/uaXpzjdcbE8ret8L+e7h/nKndunNJW57/l6fnyohaAR3Qb8nyOt3LqlmL+5fu2ijwCKTUjBosV1XXotix7TIpGR4ha/l0JVmXAhpyX50UWm6UUvECxWuk2LsxF9QsRq2HE5FdYZtqefi6IniXhFlkny6c+PtU4Q9lFaBnR+/EpL0uceaxngBweax4QdIGI6/PRoK4+e7Ur5WFONWLkLFiUdpklN2GBg5CaTIcus83oonRTK12SZvekBei2LPssmQ5bxyRLPB8NxVyW+eSxFEQjmgmYzvleEATToJpsD09sv9yf5LaTNQ0vr+aAhTknaKK0DkaTPfeRsV9xW244Lz9T1sL0kk2+/1MiZ9iEUWWZHSSYfuLoK/yLJVxDiLlhQgrZNg26iuy5+WWK1R8MBjod0IuNWFkOOw8lwhHRFJitORm+uqk4w48jXFNrNibdACSjVlsZ+mUCQiDh6c/FckvRS13VpMkw6TBsbFy/gITopGE+WIlOxTOxos/yJ/45k5wCMBF34AIZ1i3sfOklt1/DYsZPtQ9R2DfPFO7fNaz17IoS4CxaMDtPkWCiCPu5+1GZaZMvKBGEfxQAaDZNtI+Juui4Dlk2aLOGfZC27K+Cn1rFpCkYwXZc0WabUo7J6GewjClY2aYpMosZvGXLiVePJsE69MbHFkp9ohnzQdpAlyFEUNvm903a+W+y8ZVcJvznZQfuQPuF4ukfh1i1FMY/XLYeHT3cS1C1W5waQiG+cFTKcCcI+yoGmfn57sp03bluVor9g9ghxn0ccx+XZ8z10BHVetTaP/BVshuO6LrURY4KwA4QcF9tNnCBnOC6u63I6rNNqWkRcFwXIVxV2BHx45Gg4UZEkrinOoa1zENN18UrSsrlhCVY2azwaHaZFcNK+eLYiJ6xAGbRsmo3Y3olhoFBR2JsWQJaYccb9Yic34OFjN1bztWfrOdsZxAWqcv3cfVkZl5VnT3jsk7XdfOmZCzT2RUP5WT6V0iwfzZPC95eXZeHXEm9bnO4I8sZtqf5LZo4Q93niRNsgn3/gKMeaB3CB+55r4HWbC/nLV61Z9FmXc8GQ7UzobjWeyYI/Hr8scS5iUDfuRmUDHZbNkVBkrPXlKKokLZuSHoEAwKvI7E7zURsxCAK27ZCrymzwehOK84WIkbDL+4Btj/WDX45cuTqXK6pyeKWpn4jpsLcyB486UZyDusVnnzxP2+DFFf5AxGJIt7ihOo+I5eC4sG9tPm/eUsi/P1KT8P0CHrHnvmKwbIf/eLSWmnFhnN6wyQ8PtfDUuW4kSaYww8PrNxfxxq3FCzjSxY0EVHo0XgnFT4TpsWwGLZtM4bIlWOakKwq70vxT9hcftm2OhXR6kmTRR2yHJt2kzKMu24WGLEnsrshJeP6nR1snCPsojguG7fL5O6JL8dHP+4YNBTxe241hT1yJZPtV3rRtcdzDhbjPA78/0zlB2MfTPBC9oJr6wxxvHSRs2Lz1stL5HN6CkKHIZCtywtV7IlSJuPvxEF3Bd1sWiiQRWMYrEYFgukwl7AAR4Gg4QpOhsDvt4tbWSmJIT/wZDRux5161Lp8/2VvOT4+00ReORhGLM7y8d38F5TmBmMcvBELc54HOYOyMMB6G7fLLE+3cubNk3nr+LhSSJFHt88RkxfslCdN144YQA7KEJssEZAndji/wpyIGpyMGWYrM5QEPoi2GYKXSZ1n0zqDuvde2ORPR2b4Cm8nsKs3kB1K0LetkqnLjfx7vv7KK27et4pEznaiKzBu2FJHuXTySuvKmaAvA5WXZeNXpiXVjX5ju4cnFKcuTIk3jynQ/azwapZrKOq+Hq9MDFGvxfyDFmoosSZRpWsLOchDNbu23HZ7v7GdoBjc3gWA5MWQ7M+4f3puszm4Zc+XqXK5anRtzvDzHz9suL0v4vMIML/fsKeeuy0oXlbCDWLnPC9tLs7hqdR5/qO2e8rEZPpWMRXaRzCUBRYkx3dgW8CGFInRaFrobXc0XayobR3qxV/o8uECTYRJyojeweCv9sO1Qr5tsm6aph0CwnMhXFTQgNkc+MTOfDiwPJEniP27dzDeer+dQUz+65VJdkMY79pRTmbs4wuwzZeWoyDRp6A3xwOFW2gcj5AQ0bt1axM7S7Et+3X99/UbWvtLCU2c6GTZsdNOhOxS7Qt9Tkb1osi0XCkWS2JHmx3Rcwo5DQJFjMt6rRhrHWC6cDIdpNuOv0HVhNytYoQQUhWJNpWkGvReylJV77/GoMh+6ds1CDyNlCHEfx5GWAf7xt2cmZE0+UdvDX716zSVnsXtUmf97y2b+dG85AL0hg3/+3VkONfVj2C4+VWZvRTZ/c/3aS3qf5YQmS2hJTDkkSUKTICArENeQU9jNClY22wM+egaHCU2jc6JXgrUzaDwjWNwIcR/H/S81xZRDDOkWPzrYzOs3FaJeot+yYTk8eLiFMx1B/B6ZD1xVhWE7nO0MsnVVBluKF7b/71KlyqvRYpoMT1qlBxSZqlm2lRUIlgOSJFHm0ajRp87j0V3oMi2yRSnpskCI+wi65XC6I3696PmeEIdbBtiTpE5yPF1BnUfPduFRZF6/uYiARyGom/zFt1/ipQu9Y4/77clO3ndlZdKEjZVAv2XTZVl4JYnSWfSl9sgyuwJ+zkZ0eq3oCj5LldldmI0nNJMdR4Fg+bHG56HDshiYRtnpBd2g3KPhWyaNY1YyQtxHkCUSmv3LEvimOZv95vP1/O+RNnpHah+/f6CJ9+2v5Fz38ARhBwgaNt870MRrNxWSG1h54bBBy+LgcGRCyLBON9ni91KQIGM+Edmqwr70APpIgp1PlilI89ElxF2wwlElib0BP7W6TqthxTSKGY9BtOvcOmXlWmMvF8T0bARNkdleEj8svqkog62rMqZ8jSdru7n/5aYxYQdoHdT50tMXONjUH/c5PcMmvznZMasxL2WadYNnguGYvcCg43AqrONMY48wHl5ZxrcCTTgEgkREHAdXgq0BPzdlZ3B9RgBfkuDYSs5ScVyXAw19PHu+B3OGBluLDbFyH8dfXLOa5v4IZzqDY8dKMr382dVV07JlfLymK8aOEKJWs3KSxK7ZCtlSxXFdToX1hEU3Q45Di2FRLvbLBYJZ022a1OoG/SO16zmqwnqvBxs3Wn0S577jk6B8mbR7nSnPXejl65MazLzt8jJu377wHd5mgxD3cZRm+/nmXTv4+bE2GvvD5Pg13rKzhOxphMxN26GmK5jwfLZfjWtOk+1Xed2m2NaDy5kOM3loEKDZMIS4CwSzJGTbHJnk/tht2fRbYRwg3ppUBdZ6vSvSfrY3ZPAfj9bSMa41bH1vmC8+VUdVjp9dkzrILQWEuE/CpyncPcMEN9N2+OhDJ6nrCSd8zG3binnsXA9HmwbGjnlVibt2lVKYsbL2t6YTpxi0HSK2jW8F190KBLPlgm7G7cGQqOI9XZa4LOBfsU2XHjzcOkHYRwkaNr861SHEfaXy4JFWnq/vS3h+d3k2f7SzlPdcV82XHjlDbecwAY/CTRsK2Vc1vQz85USRppK4Mj2KCbSaFmuEuAsEMyYyQ/MmCWnFCjtAfzhx4u1AknOLGSHuKeBYy2DCc+vyA/zXm7agyBIBj8q791XO48gWJ4okUe5RqTeSO2d1WzZmWKfUo5IuRF4gmDZzYd40bNvU6SbDjoOGxCpNpWSZbJ0lag4DUJLpm8eRpI6Vt7kyByhJfkeXlws72XhsDfjZ4NWSXoCdlk2tbvDsUIiz4el11hMIBFFjJ98M/CJyp1i1D9o2Lw2HaTBMui2bNsvicDhCzTL5Xd6+vYRNRekxx0uzvNx9+dJswS1W7ilgT2UOj9bENoXRFInrq/MXYERLg2q/jzU+LweCYbqTdG+zgPO6QZ6qkD/D+neBYCWSpijsCHipjRj0TlHSlaPIbPAlTxo+FzEITQr1u0CDYVDp0fAuMtObh0918FhNNwMRk9IsH2/dVcqm4sTlzF5V5lNv3MyXn77A8bZBLNtlc3E679xXQUnW0myBK+6UKeC2bcUcaurn0bNdjF7/HkXizp0lXLYEEzHmE0WS2Jfup8206Ldsui2bQSf2ZuQAraYpxF0gmCYFmgYuvBSKxD0vA5t8Hiq9HuQpVvmJ3O10F9osiypl8ZhwffuFBv77pcaxsuQjLYMcaOzn/71+I5cnuR+vyvTxb2/YhOO6OG5iU7PZEDFtajqDFGV6KcqYnzC/uFOmAFmS+NfXb+SG9QW8WN+LIstcX53H7mna1a5UHNflgm7SbVm4QLai4JcgUQaDaPAmEEyfiO3QaiZOBtMkpiXsAMmC9uoisr0J6hY/P94e4zfSGTT44cHmpOI+iixJpErXXdflvhcaePhUJ80DEdI8Crsrsvm711STnza3EyIh7ilCkiSuq87nOhGGnxau6/LS0DA9zsQ6XH+SG41oaCEQTI9zEZ26iJHUTyJbURMKe79pc043GHRsZOIb3gCkyzIlnsUjI8+c74lb0gZQ2xXEdd1pGZKlip+80sJ/v9g4tjAZNmyeOtdDxHT48p3b5vS9F8+3soyp6Qzyh5puMjO9XF+VS3Hmyqprn4xuO7w8HGIgzlI8nOAmEgAqVqhzlkAwE7pNi9qIkbTUNE2WqE6wzz5k2xwKhcf9FqP/VZlYJ++TJDb6prfyny+y/dEk3XibCD5VmVdhB3i8pjtuxPFwcz9HWgbYWZo1Z+8txH0OcV2X/3riPL880U7YjF5u3/GrvHNvBW/fvXI7wR0LR+IKezIcVrbntUAwXVpNM6GwBySJVR6V1R4toUHUBd2IO8m2gCpNizbZkqRFmUi3ryqHjcUZnGqP7fB5WfncCWkieuK4kgIYtkttV3BOxX1xfTPLjIdPd/I/R1rHhB2gP2zx7RcbqOseXsCRLRxB26bHSramiE8EMFeYB79AMBvMJMnxuarCJr8vqfPjcJLselmCzQEf6/3eRSfsEN0v/+tXraEqNzDuGOyrzGZLcQYffegk7/3xEf7xt2c43jqQ5JVSQ6IorV+V2ZGgUVmqECv3OeSZ871xQzJDus2vT3bw4Vetmf9BLTDDtpPQAjMZMsy4z7tAsBLJVGXaEvzIsqZhBqVJiQLb4JkDc5xUs7Msi+/fs4tfnGind9hkU1E69b3DfOrxc2OJdkdboxn0//za9eyryp2zsdyypYjjbYPo1kQhuKIqh/WFU3cavRSEuM8h9b2JV+f6LFavy4FsRcErRUtoZkKGLAtxFwimwWqvh3bTiilfy1FkKqbhKFeiqXSMVLCMJyBLVHoXT8lbMnyawlt3Rc1nwqbN5548H5NB3z1s8MnHznFFVQ5VuQHetH0VXjW10Yg3bClGNx1+caKdxr4wmT6VvZU5fPS6tSl9n3gIcZ8j2gd1mvrj15cC7Cqb//2fxYBXkVmladQbsSU6qzWNIceJMbTRgL3pS9NIQiCYb1RJYm/AT61u0GfZIEGuolDt80xrglzi1Rh2HBqMi81nMmWZjX4P2hKcYL9U30frYPwM+uaBCP97tA2A35zq4D/fuJniFNvNvnlnCbfvWMVg2MLvUVI+gUiEEPc54hfH24hY8UNbuQGN69cXzPOIFg9b/F5USaLTtNBdh4AsU6ZpVPo8OK7LuYhBp2lh4pKnKmz0rcw2lALBbPEqMlsDsxepar+XKp+HNsNElSSKtcRlc4ud7ICKIoE9RbTwdEeQLz19gX97w6aUj0GWJLID81vtI8R9jjCSJKWszQss2R/KbDEch2bDAlzKPBob/V42+r0xdaeyJLHe72W9f2WXCwoEC40mSVQskTB8MnaUZLFlVQbHWmMz6CdzvHUQx3WXxf1ZLIfmiL2VOXgSdJTZUBjboGA5cyFi8PRQiFMRnVMRg6eGhjkfiYbJ5rvuVCAQJKbHtKgJ69TrBvYyqU6RJIm/fvVa1uYHpnysNWI9uxwQK/c5Ym9FNq+uzueRM10Tjm8oTOOP95Qv0Kjmn37L5mxEn5Ahr7tQEzHIVhTyhFe8QLDgGI7DS8EQg447lkhXr5ts8XuiHvVLnK2rMvne2y/jlyfaaR/U+e2pDrri1KBvKkpPqaf8QiLurHOEJEn8v9dtZGNhOgca+zFsh52Vudy5tYjcOfYUXkw0G2bc0jcbaDFNIe4CwQJTFzGomTQBBwg6DqfCBteoS3e/fTweVebOnSUAlGb7+OJTdQSNi8m7JVle3rGMFl4pv7OeOXOGz372sxw6dAjLsti2bRsf/vCH2bt3b9Lnvfzyy3zxi1/kxIkTyLLM7t27uffee9m4cWOqhzhvKLLEH+8pH1upFxRk0NU19b7PciKZ8Yw1jfCX67rURgw6LQvLjXpZV3k10R1OIEgB3aYVV9hHGXIcWk2LsmVm/Xz79lVU5Pj5zckO+sMmJVk+7tpVSlnO8qnKSekdsrGxkbe//e2sWbOGz3zmMwA88MADvPvd7+aHP/whO3bsiPu8Q4cO8e53v5v9+/fzla98hWAwyHe+8x3uueceHnroIcrKVq5V61InU1FoMePfOjKm4XB1NBShedzzg45Dr21xWcAvBF4guESazfiRtfEYcVowLwcuL8+eVpe4pUpKE+q++tWvYts23/jGN7juuuu47rrr+OIXv0h+fj6f+9znEj7v85//PPn5+XzlK1/hqquu4uabb+arX/0qlmXxta99LZVDFMwzVV6NnDginqXIrJ4iE3fItmmPMzEw3Oh+oEAguDTMKbLHNKBYTKKXJCkTd9d1eeyxx7jyyivJzb1o5+fxeLjpppt46aWXGByM7dTd39/PgQMHuPHGG/F4Lt7sc3Nzueqqq3jsscdSNcRFyW9OdfA3vzjJBx88yn8+XktLf3ihh5RSFEliT5qfKo9GliyTKctUejT2BvyoU+zjdZlWwlVFt2XxwtAwrwyH6UrSs1ogECQmfYroWalHIzANy1rB4iNlU7LW1laGhoaorq6OOVddXY3jONTU1LB79+4J52pqanBdl/Xr18c8b926dTz22GO0tbWxatWqVA11wTBth18cb6OpL0xJlp/mvhA/PtzCqNfNgaYBXm7o5z9v28yavLSFHWwK8cizM9TwJTGusYAe2wHbodO02OJ3KV8GNbkCwXyyxuOhw7QJTgq9q0C1z8Ma8ZtasqRM3Ht6egDIycmJOTd6bPQxs3neUhf3xr4w7/nJUY61XOxEFM81qaEvzPdfbuafXrdhnkc4v4RtmzrdZMhxUIBCTaVcU5HHCfoqTSVLlqZsD2sBF3STMo8m6uYFghngVWR2p/moiRgM2DYSEjmqzEbv4uz6tlD0hgy+/WIj53vD2JbNztIs3nNFBT5N4XDTACc7hliXF2BfVc6iuQelTNwNI1ozOD60Poo2UicZicR6reu6PuEx033eZHJyAqjqpYWPOgcjfO2p85xqHcSjyly1Lo/3XbMWJQV1jx/77dkJwg6J7RDP9YYoKJjbjkELyZBh8WxbL/3GxaB7h2VzKqxT6PewISuN1RnRrNWrM3y82DVAzxR77IOOgyfLT/akxhjL+XNcrIjPfH651M+7AFidmqEsWWzH5VdHWznU0IdfU/ij3WVUF0U/18Gwwd9MWpgdaRnkbFcQj6byQl03huWiyRK7q3L5/Ft3UJS18Fn3KRN3rzdqF2rG2f8cFX6/P/YP9vl8CZ83eize8ybT1xea/mDj0Dts8OGfHeds58VObs/UdnOorpd/u2XjJc3G+sMmL9V1T/vxCizrkrnjofAEYR/FBtrCBl1hg6HBMKs8GhJwhc9Lm6IwbDuc0w3i9dNTgMH+EOa4lf9KLD1caMRnPr+Iz/vS0S2Hv/3lSV640Ddm4POTlxv40ysreetlZXzjufqYhRnACxf6JvzbdFxeqOvhbx88wmfetHUeRp58YpeyuEtBQbQRSm9vb8y57u7uCY8ZT35+PgB9fX0x55I9L9V8/0DTBGEf5cnaLl5qiB3bTIiYdsImMvFY7h3j+pP47kM0zH4monM8FOZsWEd3XEo8GtV+L/kJojO5ioJfNJcRCGJwXZegZTNo2bjLxFI2lXznpQaeHyfsAIO6zX+/1ET3sM657sStu+NxsGmA7jjud/NNyu6GxcXF5OTkcPbs2ZhzZ8+eRdO0uElzGzZsQFGUhM8rKCigsLAwVcNMSE2CL9B04OWG/kt67aIML+sL4ifIje/+J0tw5eoc3n9l5SW932JnOpsnw45Lg2FRqxs8GwzRPtIidpPfS9akvcAMWWJTQDSaEQgm02NavBAM8VQwxNPBEM8OhWiN0245Hq7rxp0MJDq+VDnSHFvFBdAbMvnViQ58M2zROmzY9C4CcU9pAePNN9/Mz3/+c7q6usZW26FQiEceeYRrr72WtLRYgcvIyODKK6/k4Ycf5qMf/ehYmL6jo4MXXniBu+++O5VDTEiyHrueS+y/K0kSd19WymeeqKM/fPGHlelV+cBVlQzpFkHdZntJJq9al7doEjLmijxVpdee/sUfcV3ORAwKNZV0ReGq9ABNhsmw7RBQZMo92oQ+1brt0GfbeKZ5ExMIliOG43A0HCE0LiF1wHE4EYoQkGWyE0TBQrbN2YhBn23jAtkjveBNx+W8bjBoO8gS5CkKm/xLvx2zlSRh13JcXl2dz+M1XZiTAo6yRNwmM5W5fqpyp25SM9ekVNw/+MEP8vDDD/OBD3yAD33oQ2iaxje/+U3C4TD33nsvAA899BAf//jHue+++7j66qsB+MhHPsJdd93Fn//5n/Oe97wHXdf54he/SFZWFu9///tTOcSEXFmVw7Pne5n8XeX4Nd607dIz9W/eVMSakmy++2wdXUGDgnQPt24tZl9lbJXAcqfa56HPNOmeQfuloOPQblqUeDRkSaIyTomO67qcCOu0mSaGC0caI+QpCtv9PpH5K1hxXNDNCcI+igGcDkfYnxG72LJcl4PDYQbHPS/sWPRbNrbrMjYldyHkWAw7LvvT/YtyQdI5FOGbLzRysm0IJNi2KoP3X1kV09tjU1E6R1tjV+9pHoUb1xdQlRfgVHuQh461MqhHM37y0jQuK83i2Qu9hMepvkeRuHVL0SUvCFNBSsW9qKiIH/3oR3z605/m3nvvxXVddu7cyfe+9z3WrVsHgOM42LaNM66uctOmTdx///189rOf5YMf/CCKorB//34+97nPje3JzzVv3lHCmc4gvz/dNbY/nhfQ+NMrqyjOTE3I98p1+VRnrezwsTmymugfuXmM3hKmI/NTtaA8GzFoGLdat9xoFv6xcIQ96Qs/kxYI5hPdTZzb0mM7XIgYrPZNFLp63Zgg7KOEE/z2em2bVsOi1Lu4vOeHDYuPPHSKM53BsWO1XcOc7Rzm62/Zjk+7GLV41xUVHGsd5FTHxceqctR/viovet/40LWredO2Ip5rGkSPGNy6tZjcgIdHznTy65MddAxGyEv3ctOGAt60fXGUbUvuMtk8SVXG6Im2QZ4534NHlXnj1mIK0lMnxiKzFQ4Nh2gz4+W7J8cvSbwqMy2hq53rujw1FIox44DoHv/VGQEyhNPWnCOu8fkl2ed9LqJzJpJ4+ytTlrkmIzBh1X10OExTgl4QiVjj0dg8C5OqueTbLzTw9ecb4p77y1et5p7dE7u/DUVMfnSohZquIH5N4VXr8rhxQ2yu12K7vpNlywvT4ElsXZXJ1lWZM35ebVeQXxxvZ9iwWJuXxp07S/BpCq7rcqE3hG27ZOek8ejZLrqGdK5ek0vFItiXmU8itk33LIRdAVZ7PUntal3ATLBSsYEh2xHiLlhRVHk9NBrxQ/MQ9YaIuC7+cb+rqSyh4+FdhHvudT2JS6PPdcUmT2f4NN5/VdUcjmj+EeKeAn5+rI0vP103th8D8FhNN3+8p5QfH2rlZPsgtgNeTSYysj/zrRcbuGF9AR+7sXpZ9EqeDmHXZaYpbjmyTLXfQ2Eck6PxyJKEX5bR45TZeYBcsecuWGGoksQOv5cXhuObgEmANuneU+XVaDFMJq/3FYjrL5EmS1QuspA8QJo38UQ+3bsyZE/c8S6RkGFz/0uNE4Qd4GT7EP/v4RqOtg5iOdGVZWRc4sWQbvPQ8Xa++3LTPI947gjbNidCEV4YGualYIgLEWNCyUyGokxYJUxFliJzZUZgSmEfpUzTiPfqRZqGT6zaBSuQLFVNepN3Ju3KpikKWwM+0setxtNkiS1+Lxt9ngm/3yxFZpvfN6vV/lxzy+Yi0jyxv/kMr8IbtxbP6LVc16V1IELb4NROqYuJlTGFmUMePt1B66Ae91xocu1EHJ6r6+Vd+ypSPax5J2zbvDwcYWjcnneXZTNo2+xIizoMqpLEKk2lblKJmgQUqAohxyU44jWfoyhsDXhnlIVbNZIc1GiYY3vvKiDjYjjOki/ZEQhmipkkpcoFIo6LZ9LPosSjUaypdJgWLlCkqWOlplVeD52mhSZJ5KvKosySB9hRmsUHrqrkBweb6RiKxiGKM728c0856wvTp/06L9b38u0XGznZHt1n31WRwzsvL2XPEqhyEuJ+icygmisuQ/rMklcWG47rIgHnRprATKbVtKi07LGa2k1+L6ok0W5a6K6DT5Yp1TTW+Dw4rsugbeORpFm3mSzzajQZBqMjMYAG02LQcbgiPTChHl4gWO74JIl0WWYwzm8zTZZIS7BdJUsSqzyxETNVkiiJc3wxctdlZbxhSzG/O92JLMHrNhURiLOaT0TrQJhPPFIzNjkAePlCL009w3zzrp0UZSzuyich7pfIazcVcv/LTXQMxV+9T8ViMDuYDU26ETWScRw0SU6azNZhWmPiLkkS6/1e1vu9OK47Id9AliSy1Uu7JC/oRtwucn22Q4NussYnWlgKVg6SJFHm0Tgd0SeUm0pEt7GW+2Q33avyRztLZvXcBw63ThD2UdoGdR483MKHrl1zqcObU0Sc8hJJ96rcs7s0Zn9nXX4aZdnJy0Py0zy8ddfsLryFpFk3ORHW6bUddDdqMKMniWAoCe4fc5FIOJTEt37AnnmmvkCwWHFcF3PcirzbtDgdilAT1icklq7xedjm95KnKgRkiVxFZovPS7V/ca88F5ruYOIywmTnFgti5Z4C7rqsjE1FGfzmVAfDukVVXoC7LyujdTDC15+t53jrILbrkpvmRRqZP6/JC/DWXaVcVp69sIOfBU2mGTdzNh5eCcqnmRCXCtQk84XJmcECwVLEcBxOhnV6LRtnaJg0CUCiz3bGVucNhsEGn5eKESfHCq9n7P8F06MoI/HnpSVasSwihLiniB2lWWwvycR2XNSRfaz1Bel89vatBHULx3VZW567qAwQZktoiq5uo3gl2Ojzzqv1a6mm0WJYMZMPFShbInuFAkEiXNfl0HCEntEolAv66P+MQ3fhbESnSFWF9fIsecuuMh483Ipux4YlWwYWf+a8EPcUYDsuX3u2nmfreugLm5Rl+XnD1iJuH7EhXG51lR5JimtHKQEbfR4Mx0WRJCo92rzfWPI0lfU+D3W6MbZV4JNgjdebsFGGQLBU6DCti8I+BbobjbKtU5KH313XRXddVEmKKWvrME0adJOw4+KRJVap6lhVynLHo0rIsgRxxP10R5CeYYO8tMX7WSwv1VkgPvV4LT8/1j72796QyZnO6Ar99kXiM5xKijSVAT12zylXUVjrW/h9vLU+L2WaRr9XZjhoUOZRRRmcYFkwMM2o2ShxdGkCjbpBgx4tHVWlaMfGrSOd3loMk+OhCGP1PA70WDa667JhBezX65aTsGOcbtno1sy+i/lG3PEuke6gzpO1PTHHDdvl1yc6FmBEc0+1z0OVR8M7MsmXgQJFYeci6qnuVWS25mSwxucRwi5YNvhncC0rRCfiiWg1TE6GdQYcB5voSr/VtHglFMF1XRp0g3iFus2GibU8WpIkpTjDy4aC+DXxGwozWJWihmJzhbjrXSLHWgfpC8c3VW0ZCGPNcKa9FJAkia0BH9emp3FZwMdV6QH2ZQTwCxc4gWBOKfOoZMrTS+ZapalJt6KajfiJsT2WTadpJaw8CbsuvbPoEbHUkCSJt+8uI9s3cYKU5VN52+Wli9bAZxQRlr9EqnID+FR5rE3seLL9Gso0f4hLEU2WcO1oiVlAkVOejT5s2zQb0bVDqUclXUweBCscWZLYGfBHs+VtGxcIyBIlqoKNxKBtI0sShapK1RSe7+EEIWeXaEmpJkuYcR4jA75lfF8bz2s2FJCf5uEXx9vpDEYoz0/n5uo8dpVlL/TQpkSI+yWyJj+N3eXZPHuhN+bc1WvzONjUzwOHW2noDZGT7mVPWRbv3lex5EW/3TA5EzHGbF5rIgZVXo11KdpzrwnrXNCNsUYzF3SD1V7PitjrEwiSkakq7M8IMGDZ+DN9KMPGmBnNqGPkdFaVPlliKEFgMV2RyXcUGp3YwHyuopC5gpJTd5ZlsbMsi1ea+vlDXR8/fqWVZ+v6eNvlpSKhbrnzDzev518fqeFgYz8RyyHXr/Hq6jz2lGfz9785Q28oKlH1vWEON/bTNhjhH2/esMCjnj267XAirBMZt+8WcV1qIgYZskzRJZacdZsW5/SLFrIAFnBON8hR5Wk3khEIljNZqkJBmo+ukEm3aVGnGwyMrNxzFYXNU5Shlmgq3ZbN5LV5rqJQpKnkayr6cJguyx77LeYoMlsXUW7NfPE/h1v4yrP1DBsXtyOeOd/Nf75xM1V5aQs4ssQIcU8BuWkePnf7Vuq6h6nvDbGjNJO8NC9/84uTY8I+nidqu3nHnnIql6j1bL1hThD2URygxbQuWdxbTZN4CwoXaDMtIe4CwTgGLJsjoTCR0Z+k69LiWIQdl/3p/oSr+HKvB8N1aTKssYZNearCNn+0YZMK7EkP0GNa9Ns2abJMkaYu+r3mVBM2bX54qGWCsANc6A3zrRcb+cQtmxZoZMkR4p5C1uSnsSb/4izuQs9w3McFdZvn6nqXrLgn6zSV7Nx0SdaMZ6rSnskYjsMF3STkOHikaO9psXcvWE7UG8ZFYR9Hr23TYliUJdl7X+vzstrrYci28coyvjjZ+HmaSl6SrPvlzuM1XQlNa061L15TspX7jc0xvzzeTutA/GYyEiz6jkLJyFQUIH6FQFoKys6yVYVmM363vOwZCHOvbvB8MDyWFwDRqMBWvy9uxyuBYKnQrJu0mCZ2KMyQkbiz5KBtA8mvdVmSyLrEhk3LGS3JPW0u+mOkClEKNwe09of50jN1cTNNATYWpfPq6vx5HlXqKPOo5MYR2YAssWaKDN3pUOHRyIvz+rmKQuUMXv9wT3CCsEO0lrc2YuCugDpdwfKkLmJwLByhy7LpNawE0+wo3llOtgcsm3bDxIjTKnalcf36fKpy/XHPbS/JnOfRTB8xXUsBluOijst+//nxdvrD8WfTGV6V/3ND9ZLOlpclid1pPs5EdHotBweXLEWh2uuZdR/2ya+/N91PbcSgz4p+jtmqSrXPE7dF5ZBtU68bhB0XryxRoWlkqQpdkfidmwYdh17bJk+sVgRLDMd1aTTi56RMJk2WZjQZhmj56fFQtMzOIdoPvtSjstHnXXF77aNoisz79lfy2SfO0zMuh2pLcTp/dnXVwg1sCsTdbZa4rsv9Lzfxh5puOoM6RRlebtpQwNt3lxFKEibbXprJllUZ8zjSucEjy2wPxJ/NpgJFktjo9wLJty+6TJOjociEPcd2w2LzVCVzYuEuWIIM2nZMNCoe2YrMZp8XVZIwR0xn/LKUtITNdV2OhiL0jjOvibgu53UTrySzZgl4ytuOy6Nnu2juD7O+II1r1ualZFJy08ZCthZn8NvaHjr7QlTlBnjzzhK86uINfgtxnyVff76B+19sHJtB94ZMznYG0W2HLasy4Uhb3Oety1uaSXSLlfO6GZNMZAL1ukm+T6MpFJv3kCnL5K6gOl3B8sEjSSgQ11nOK8Fmnxe/IpMzEkE7E9ZpHqlukYlubW0LeEmLE2HrMq0Jwj6eVsNAlqDPslEkKNE08hdZkl1Db4h/+t1ZTo4kuckS7CrL4t/fsIncwKVPTEqy/Xzs9ZuWTGfPxTvtWMTolsOjZ7piQmOOC78/3ckN1fnsq8yOed6mVZm8bXfZvIxxJWA6LgNWfBvMAcdhTYaPtEnbHx5gnc+zYkOMgqVNQFHISzAxzVNVSr0eclUVF3gpGOKcboyVrTpAt21zdMQ7fjLDbuKIwKDjciKs02JaNBoWLw+HORuOnzC8UPzXE+fHhB2i9+NDTQN87onzMY+NmDb3v9TI3//m/7f33uGVlnX+/+tpp6b3zCSZnplMZ2aAAaT3pgIqKqwI6Lq4fhVZ229xi+X7FdRVF0R2sbKCKOhSLPRepwLTMyWZ9N5z2lN/f5xJJienJJlJz/26Lq6Lecp57vPkOc/nvj/l/dnP/3v+IO/Wd0/iSCeH6TX1miE09Yao6w4l3FffE6YrZPDDD63igbdqeL+xB8NyWFmYzh2XV+Ayk7vsBWNDkqKVBwn3ATluF2f6fVTrsaVw6aIUTjCDWeV1YwTDdA1ZZecqCquPhaKiPd9DtCdZhXdaNq0J9ChyFBUFPaFXIG4hA1RFdOa51Gnxe6rvDvFufU/CfTvrewgbFh4tOs7OoM4dj++NmQg8s6+Vz5yxgE+dVjop450MhHE/AXJ9bnJ9WkxyxQA5Xo0Mj4ZHU/jiuYtj9uVne9l5sJUHt9VxsLUfTZHZVJrFrZvLGFhgqkMUpcKGhe2AzzX1P57piCpJZKsKLQlW79mKTKZLxVDkY7F7gWB24FcUzkzz0WSY4NFQwgYFQ8Rl2kyT1iQerQECCeL2mapCgabQNMqmMBbQqJss9079+6k7ZCTs7wEQ1C3Cpj1o3H/xdm2MYQcImTa/21nP1asLyR4HF/50QBj3EyDdo3L6wmz+tq81bt/mRTlJjXFjd4ivPLmXqo7g4LZdjb08ubsJSYpmia+Zl8EHVxfxxO5mdjX0YNkOFUXpfPq0UjaUZk3UV5qxVHjdBAMh+oaUHfplaU5n9wpmP5IkMc+lkZ+bHhcD7jDiJWWHogA5SSpF1vu8uEMR2kwTw3FIk2UMB/qSJPFNl7zU5QVpLMz2crQr3qO6OM9P5pDObnubehN+RkfA4K/7WrlxloROhXE/Qb5x0TJ00+admi76IxYZboUzFuXwlfOXJD3n569XxRj2AYZ6AF482M7rRzrQh0ixvX20i+rOID+9bs2MVbUbDabj0KQbyJJEsaaOSiAiTVH4QLqfoxGDoG3hkWUWul3j3qFOIJgpqCOU2eZrStJWsD2WhQwUKArFLo0cTeVAKEJfJL6sVCWqTz8d0BSZa9YV87M3qomYx9+d6W6Vj60vjp3op3g3zOAK5Timx19mBuLVFL539Urqu4JUtvZTUZTBvExPynMOtowuy1JPoLHa3Bvhsfca+coFS09ovNOdqrBOdUQndCzR55AsU+5xMW8USnKKJLFkBpTpCASTwQKXRk0kcf+HHEXmlAQlrI7jsDcUiamhrzVMFrpdlHtcdJkWHdZxd70ELHC7plV3uE9uLCHP5+LpA610BHSKM9x8aE0xZy7KiTluTXF6QtnYPL/GFRUFkzXcCUcY95OkJNtHSfboVtN+98nd7qbexPrGM512w+RgOMLQVMN+22ZvKEyWIo+LMI5AMFdwyTIrvW4OhCMEj4WrFKBUU1nl8yQMVzUbJkf12Bwii2jSXL4qc1qal9qIQbdlIUtQrKnTsoHTJRUFXDKCgf7sGQvY39LHrsbjBt7vUvjUqaVkHYu3H2ztZ09TH2vmpbP0WL+QmRbmE8Z9ErlwRSEv7GtJ2RglFeNRqzkdqdcNEtUQRByo0U0qpkHCjkAwk5jn0kiTJQ6FdRQJlrpdpKVQZGxJ0svBARoNkzxNY9Es8Y5lejV+9tF1/PH9Rg619uPTFK5YVcjq4gz6wgb//sxBttV0ETqWoCcRdddn+TRuv2gZly2dGdLhwrhPIh/bVML7Rzv4y55meiNRF5dEfFKKLMV3Rsv0qHxoTdGkjHOySd1lTmhbCwRjwXEcdgXDNBvHdecDdoQ1PulY06d4Uv3KZmMbBrcqc8PG+MS5u188zGtHOmK2OUS7UXYEDP71qX0ELljKdevnTdJITxxh3CcRSZL48nlL+Mi6Yl461I5HVXBrMn/Y2cDh9iASUF6QxvnLcnmzqpN9zX1YDpTn+7lxUwmri6dvk4KTIdpJLnH5TbosVu0CwVg4GNapG7YS77JsdgfDnJnmS+hezlYUGpOs3pNl1s82esMGW2u6Ux7jOPDQ9jquXVc87d30c+OvNs0ozfZx02llg/++alURO2u7UWSJU0ozkSWJW04v42BrAN2yWFmUMaMbzYzEIrdGi2nF1d5mKTJl49BlTiCYS7QmMdJdlk2bYVHgin/tL3BrtJgm7cPq4wtUhZIEx89GukMm3aFUPfaitPTp9Ecs0j3T+75M79HNEVRZ4rSF2THbJElieWHaFI1ocvEqChv9Hg6HdbotCwmJHFVmhdudsAvciaDbNkciOr2WjYJEoaZS4lKn/exbMHcxHYcuw8KrSKSNIanUSFF9HnAsEr32ZUniVL+XqohO1zEDn6sqLHLPHanmDLfC/CwP9d2pE5e9moJXm/7K7cK4C6YFGYrCBv/EdJkLWzbbAkF6hiQyNJsmPZbGal/q8kWBYLJxHIcDYZ2GYw1fFKKGdo3XjTeFke+3LGoiBnaSILkGFKRwsSuSxDLP3FNz7Azo/PDlw+ys6xnVyv388rwYJdHpijDuglnP4YgeY9gHqNcNylzatKrVFQiqIgZHhojGWECrafF+MMLm9MRltw26wd5gmHipmeMUaWrCbnBzGcdxuPOv+9leF6tLLwEuRUK3nEE/iARsXpzDV2eI1ogw7oJZT4+VOFnPBJoMUxh3wbSiyUi8euywLDpMk9xhq2/bcTgU1hMadgVIk2UKNJXyWVLKNp68Wd2ZsOGMA5y2IJv/e1UFD2+voztocs3aIjavLJ4xLV+FcRdMG2zHocmIaloXqyo6DtURnaDt4JYkSlwq+ScgnJEqF1GZG+FEwQxCT+JWd4Bey4oz7i2GSX8S7Xe3LHF2hn+8hzhrONQWIIEgKACt/RG8msJnzlg4qWMaL4RxF0wLWg2D/SF9sEHFAaK9oofm/TYYJm4pTJGmsdzjwiWPLu6Vq6h0mPHrGrcEpdNQZUswt/HKMkE73tukEn2Wh5OqDN0h6nqeK0lxY2VRrg+ZxHX+ef6Z7emY/lkBglmP6TjsCUViOk+ZkEK1zmBbIJw0cWg4Sz0uCoe53jVgmduNewYkxgjmFqWaRqJAUb6mJAwhFWoq/iTuqWxFEYY9BecuyWXt/Hj9EI8qc3lF4RSMaPwQK3fBlFMTMQY1sEdLl2VFE+LcI8+uZUlik99Ls2HSaVookkSpSyQXCaYnJW4NG4da3SBg2WiyRL6qstKbOJNdkSSWuF3sC8X2Z0iTZZZ5XNiOw8GwTrtpYjmQocgsdrvIFLkmSJLEd69YwQ9eOsyOuh76dYsleT6uWVPMpSNo1NuOwzP7W9la04XjwKllWVyxqnBU3SwnA2HcBVOOniReOBK9SRLlEiFJEsUujeJRdJkTCKaaMreLUpeGRdS9KksS7YZJk2ECDnmqStGQdqtlbhcZikKtrmPY4FNkFrs03IrMjkCQJuP4b6XPtumyLDb5vUnlaOcShRkefvjh1XQEdPrCBiXZvhHb5tqOw7/+7QDPHmgb3Pa3/a28fbSL71y5YloYeGHcBVNOlqqAPnJ96XBU6cRd6iIOKZjuSJI0+ILeFwxTrR+Xp6nRTeZrKhc76YPHZ6kKPtlNZVin1TBpNgw8kkSHFT95DtrRZNV1Cdq/zlVy/S5yRxlnf+5AK88NMeyD2yvb+MDiHC5fOfUufWHcBVNOkaaSryq0maNfibslWDhGWUzLcdgfitBuWpiOQ5ois8itUSiS6gTTmPZj7ViHB64aDJODvUEGupU7jsOOQDim73ogRbpdo27ikiKUe1zjpgQ5V9ha0530zm6p6ZoWxl1kEwmmHEmS2Oj3stClkczMDn31+GWJVV4PnjG6FN8NhjiqG/TbNmHHod20eC8Qpi1JXbFAMB1oNsykXdsag5HB/6/TzRjDPhIWcCSisyMQwpmNrd8mkFRzoeniERTGXTAtUCWJFV43apIfhgdY5XGzzuvmnHQ/88YYO+80TVqN+BefAbwbCHM4HBEvOMG0xEmx+h76yI4lB2UobaaVtNmMIDGbF2YnNJ4SsHlBdoI9k48w7oJpQ9CyCSUxsBGgyKVS6o51IRqOgzkKo9xpWklXPzpwIKzzbjB1wwiBYCrIT6EHX+g9HiPWUqwYUwWwHKK/D8Houag8nytWFsQYUBm4fGUBl6zIn6phxSBi7oJpg1eRcUvRWvbhuGUJ15CXV6dhciii021aSEC2qrDc606a/ZtM9WsoTYZJu2GSp4mfhWD6UKipzNdUGoatrvNVhRVZfjrb+wFY4NKo1fW4348MrPG5ORw2YrQkhqLN4pbSE4EkSfzrZcv5wJJc3qruAuCMhVlcWJ4/bdzy4i02g+gI6PxuRwN1XUHSPSpXrCxkY2nWVA9r3NAkiQJVpS6Bi7BQVQdX7EHL4t1gOGaV32JaBAJhzkr3xa1g9ociVEdGjqs7QJsw7oJphiRJrPd5yNVN2k0T24EcVWGhW4vxYnkUmVVeD5VhncAxI+6RYIHLxXyXC9OB3aFI3Od7JYkFo9CLmOvYjsO9Lx7i6V2NdIUMSrK8fGh1If9yaflUDy0h4i02Q6jpDPLVp/ZR3REc3PZCZTuf/8ACrt9QMoUjG19W+zw4wTCtholONCu+UNViBDyqI0ZC932/bXM0ose0rew1LWoiekqJzqGIrGHBZGI5DofDOl1W1AOVoyosdsdnr0uSRJlbo8wdm2viOA6dpollQ66mMM+lUaipNOoGFjBPUwdlmstcGgHLpk43GJjq+mSJlR53Spf+TCBi2vzv+40c6QiS5lK4dm0xZTmJO+idKD9++Qi/f7dx8N9NvRH2NvViOXDFNMiOH44w7jOEX7xdG2PYAYKGxa+31HH16iJ8YywLm64oksR6vxfddgjYFmmyEucyDKVQswsOczs2GmZCGdtEuKWoa1MgmAwsx2Frfygmw73NtOg0LU71e0cUQmk3TLbUtdN2zCvll2UWuTQWelyUJliJS5LESp+HhW6NJsNElSRKXNqMn9B2BnT+6Ym97Gk+3q3tr/ta+NK5i7lqVdG4XKMrqPP8wfi69qBh88Tupmlp3EVC3QxhX0tvwu0dQYNrf7mVypaZ0YZwtLhkiWxVTRgLdKd4at3DhG1G+9pyS7DcI7TmBZNHTcRIWLrWZlrU66mnpIbjsCsUHjTsAAHb5kA4MmJpp09RWOJxsyCBh2Amcv+bR2MMO0B3yORX79QRTlAhcyLsqOumI5D4vtZ1hTDHKJ89GYg32TTEtKOaxQ9urWXfsYc21Sy+I2jy7WcPTssHbCIoc7lIFCH0ShILh62857vUpO6pUk1lmdvFCo+Lc9L8o9KpFwjGi+4UpWtdZmrjfvRYK+ThmDDixGC2sbsx8cKnrjvE85Xxq+0ToSzbi1tN/A7O8GjTsnX07PDlziL2NvXyvRcOUdkaAMCr1fKBxTmsLsrgaGco6XkH2wI8d6B1WrqHxptMVWG1z8PhsE7vMTd8tiJT7nHhGbbyTlOiMcwjEZ2hr9L8Y58xXisXx4lWI08HTWnBzCDVymqkx0hPMZGPzDG9hlTdIY0E0rsnQnlBOuvnZ7Klpjtu3xkLs6dNhvxQhHGfRtiOw/dfOjJo2AFChs3zle18dH0xXk0mZCR/WJt7506d9jyXRrGm0mNZyEikK3LSH1ieqtJiGPQceyH65OgKfzwMu+M4HArrNBsmEcfGK8vM0zQWe4QXQJCaomPlbcNNkwTMG0ESOS1F+MgnSziOQ5NhErBs0hWZQk2dlgZoPFhZlE51goVPUbp7xM5uY+HOS8q566UjbD/aiW45pLsVzl6SyxfOXjRu1xhPhHGfJLbXdvP8y0do6gwyL8PNx06Zz+I8f8wxb1R1sL85cex8d2MfFyzN46/7W5NeY0Vh2riOebojSRJZKQQ+ACKWzXuhUIwLM2hH45VnKDJpJ9kVa38oQtWQpjcRy6bHiuDgsMSTuEWnQABQ5NLwh3X6hyWBOkDAsslLYd9LXRp1ukH3sJWpR5IoUlXe6g/SNWRfjqKw0eeZlTklt25ewIHWfo60H0849mkKN2yaj38cE42LMzz87rObef7deo50BDi1LIuy7PHNyB9PhHGfBB7f1cQ9r1bRrx93DL9R1cm3rlgRU6fe0pe8ZKs/YvKp00t5s7qD7nDiWN2epj7OXJQ7jiOf+RyKRBLGJiMOHI0YrPaduHE3j62OhuMADbrJYrdr1q6WBCdP2LKStjs+FNEpc2tJnx9Zktjo81Dl2DQHItg4ZCgKS9wuqiJ6jGEH6LQs9obDbPBPX2N0opRme7n/o2t5ZEcDNV0h0t0Kl0+gBsj6kkzWl2SOeJzjOERMG7ea3Ks4kQjjPsGYls0jOxtiDDtAS7/O/2yti3kAz1mSywNvHaU7FG8wFuf5WJzr5/zyfB7f1ZzwWruSJJbMRUKWzQuNHdSlSC4Kn2QCYp9lJZXLDdg2uuPgFsZdkIROy0ZPsi/sOFSGIqzweZKe71UUzsvPoqW1F4doGWnYtulIIiXbcawbYrL+DTOZbJ+Lz08T97hlO/zXm0d5/UgHnUGD4gw3l1UU8ImNk6tHIoz7BPNeQ09cffoA+1v6CRsWHi26emztC5Pnc8UZ90y3gozEv/3tAE0p4upzLI8mKY7j8F4wPGKHLM9JSm56JQkNSFQg45KlGS8MIphY0mQZBUj2lDYYBsscd1xuSKdhUmcYGDbkYVNkM5hIqttO0s8zHWatcZ9O/OiVIzw6ROymK2RwqK0fB/jkJBp4YdwnGK+mIEuQaJGoKRLKMQPz8PY6HnirluCQukyPKrMwx0t9d5hXjnQMbpcgoft+dXHGOI9+ZtJhWnSOYNjdEix0jyxY4zjRl6VCfCtHj6KQpyk0Jail1RzoME3y1PhEJttxaDZMLByKNU28bOcoGapClqIknYSGnGgzJUWCWt3EcGwM26HFtAYNeHO3SbUss9HvIUNRSFNk0mU5oYZ8uiILT9IE0xsyeDmB2I1hw9P7W/n4hvmTVlEjjPsEs7IonVVF6exuik+UWzc/E02R6Qzq/HZbfYxhBwibNo29kTiXfiLD7tcUrlw1fpmhM5k+20opN5ujyCz1uFIm09mOw/5QhFbTRLcd/IpMqaaxYFgW/BqvB4cw7YYVo4TX6zhsDYQpUlVO8XsGf9BNukHlkCSqg7LOIpdLZNfPUdb63LzSF0z4vGpEu7VVRiLoKR7ogG1zKKyz8ZiqXZlLY384EtMFUSWqvihyQCaWyrZ+2pKI3TT2hAnqFmnuyTG7sy91cpohSRJfOHsRpVmxsbOVhWn8n3OiMaK/7GmhI5j4gegNj06QImBY/PztmpMb7CwhW1GTPtjZiswZaT4KkpQaOY7D0YjOS739VOsGAdvBALotmz3hCFXh2MYbLllmk9/HaT5P3EzZAZpMk6pINLIatiz2hsIx2dEh26FyFKpigtmJX1EoSdKoKFdVOKLrKQ37AEMFcRZ5XKzzeihQFTJlmcJjE8xEkrSC8aU0y0u6O/GiIdurDYZgJwOxcp8ENpRm8T83buDpQx3UtPaxMMfLh9YUo41zWcr7Db3YjjPnhVSyVIV8VaFlWGKRQrRDVrLVi+M47AiEaE6SkOQA+8I6raZFudtNzpAfaqdtJ9WwbzMtlgJHdZNwghe1RTS7Pn+E2mbB7GS1z4MZDNFqRN3tKpCnKeTIStJncTjDn+j5bo35owg7CcaXogwPp5Zl8dKhjrh9H1icgzqJrXWFcZ8k0twqnz9/KW1t8e75yyoKeGh7PV2h+NVbululLzK61btpO9gOzMXWzK2GQaNuYjgOaYrCKo+bDMmhvj+M7jikyTJlLo2SFC+8Bt0c1cu03bToMYMUqQrZmkqJS8NKsbpyjmU6Gk5yASJDZEPOWRRJYqPfR8Cy6LJsMhWZdEWhOhLfnjUZOSep1yAYP755STkOB9la001At8jxapyzNJcvnLN4UschjPs0oCDdzSc3zudXW2pjFOjWFKdzRUUB//12TUwGvSpLCXXkVxSkTerMcLpwJBzhYPi4vGyLadFimFxSmsdSWcFyHDRJShlvtByHGj1ZYVI8BlBnWtH/dINlblfSzOeMYy/edEWBJOt7nywiZHMB61guR7tpYTkO6YrMIrdGvqbhVxT8Q4z0PFXjsKQTGWHel6nILBc5G3E4jsPrRzo40NpPcYaHyysKUCdBxCfdo/H9D66ivitIdWeQlUXp5PonX9BKGPdpwqdPL2N1cQbPHmglaFgsz0/jY6fMw6MprC/J5PFdzfRFTEqyPHg1mV+8XReTgFec4eam00qn8BtMDbptUz1MNx6ivd13dfaxQlFHlJltMwz2huKVwkZLl2XTYJjM1zRqh8XO02WZJce8BWUujfoEqmJ+WWKxcKHOCXYGQjHhopBp0W1abPJL5AyLvSuyRKas0Dosm94nS+TKMpIsUZjhI8+wZ0V3t/GkN2zw//15P9vrugcrlf7wbgP/etlyyvMnR8mzJNtHyRQq2EmOMzv8gYnc3dON/Pz0cRvnO0e7+Nu+FrpDBvMzPVx/yjwW5vpHPnGWcTSisyeU2H2Z6VI52+dNeb7lOLzeFzxhwz6AV5I4P91HrWHSeqzMLUOONq3xDlktRKxoW85OK5rRn6koLHO7yFBnh1t1PJ/x2Ua7YbIlEEqYGT9PU9ngjz6rjuOwJximwTAH/TwSUWnZYk1lids1KCMr7ncsuxt72N3UxxtVHWyr7Ynbv7Ekk/+6ft0Jf/50u9/5+elJ94mV+wxl88JsNi/MnuphTDmp1iujccA16MZJG3YAGwckiYVuFwtTZCW7FZl1/tQTDsHspMtMXqIZOObNCVkW24MheoYlcThAyHHwKfKs1Ic/WcKGxTf/up93arqImMnXq7uaejnY2k95wdhW747j8PbRTt59uxYjYnDxinxWFU1vXRFh3AUzmhKXxpEkva0LUsQhayM69YZBrzk6wz4wiUj22shUlDlfpSCIJWhZ1OomluOQrSq4Ujwf2rFcmb3hSJxhH0qLYaacPM5V/uPlI7x6pHPE4wzLoSM4+twaiGpefOuZSp470MrA6+J/32/iE5tKuO2shScw2slBTAEFMxpFkljmdjH8dZetyGzITeyyqg7r7A5F6DSTl68NZ5FL5fx0/2Di3FA8ksRi8cIVDKEmrPNGX5DDEZ1q3WBnMEyLaZKWxL4Xayqm49A5QrWGNTuiqOOKadlsq+0e1bElWR5OmT9y05ehPLW7mb/tO27YAUKmzSPb69nTNH37eYiVu2DGU+p2kaMq1EQMzGPdscpcGh5VYXh0zHEc6nQjpYLdUFxAoaaywhtVmVvudZOlyjToJrrjHOsNP3ti5oKTJ2LZHIxE4prCtJoWpZqKatuDSZVuKep9ylFk9gXDIwrWpIuStzgilk3/KMqF3YrEh9cUjVlI5p2aroTbQ6bNcwfapq3stzDuglmBX1FYOYr2rRHHSRlj9wI5mkqBqoAkkavIeIa9UAs1jUIhOCNIQp1hJC1fC9g2Z6X5aDMswo5NoarSbVtsCYQSChwNxS/NnaoKx3F4u7qLuu4QmxdmsyAneda5T1NYkONL2BXTo8oszvWR63dx8YoCLq8Yu0S3lSJMYp1kZ8mJRBh3wZxClaLd2iIJ3Jsa8IEMP+5pVHPeYZhURQx6bQsFiTxVocIb3ylMMH1I9b63iUpSF7iir17HcTgc1Ec07NmyzDq/J6YOfrZytCPAd58/xO7GXmwH0twK5y7N45uXlCfU8ZAkievWFXO4LRBTHqxIcOOmEj53knHxVcXpMY27hn7+dE5qFsZdMKdQJYl8VaHeiHfj5WrKtDLsXYbFzmBoyCrQoV+3Cdo2p/q9ognINKXYpVIV0RPmc2QNM85B24nTPRiKDJS7XSz1Tr4IylTgOA7/7/lDvN9wfBXeH7H4694W8vwuvpCkZ/sVKwvxaDJP7m6mqSdMtt/FRcvy+Ogp8096TJ/YWMKWmi6218WW1l28PJ8PLM456c+fKIRxF8w5Vvs8GIFQVCWM6As0V1VY6/WMdOqk0G9ZVEcMmgwjYQy2zbRoM82kzW8EE4PtONTrJj2WiYJEqVtLGANPVxRKXRrVeqygUZrEoKDRACNNz2yiIklzhZ11PexOkqT2dnVnUuMOcMGyfC5Ylj/uY3KrMj++ZjWP7GzgUEcQy7Q4dUE2164tntYTbGHcBXMOVZI4Nc1Ht2nRZZlkKQrZ6tT+FAb6xveZFu8GwwRTZEU7QJdpUyBse1KClkWjYaJIEqUuDTXBSzhgWeiOM6oyRtNx2NYfium9XqcbrPC449oAA6z0ujEch+YhQjSqJBOywTtkPuBTZLIVmc4UBrzHsnAcZ1obkvGitjtEsurU0fbYmAg8msLNp5dNOxGbVIzrG82yLB544AEef/xxGhsbyc3N5YorruBLX/oSHk/yVVFNTQ2XXHJJwn3p6els3759PIcpEADR7nFZ0yDLvS6iUx2O0Ockr6MfjmcO9hAYLQdCEWoj+mC2elVYp9zjGmx52m9Z7AlGVQJtIE2WWeDSWJRCF+FgKBJj2CHaX+BQRGeeW0MbZnjbTTPGsAN02za7QmE+oPpiJhvlHjc7A6G47PoB5tKf+sxFOWR51ZheGgOUZQvxp7Ewrsb9u9/9Lo8++ihf+MIXOPXUU9m3bx8/+clPOHr0KPfff3/S8/r6ojOhb3zjG2zatCl2gFO8ohIIJpJG3WB3KMJYHK9pskyJSyzbE9EYMTgS0WMmSSHHYX84Qq6q4JFl3g2G6RmyUu63bfaHI3hkieIk97XTSlx/HnYc6iIGi4dNDOp0M2HMvd+2qYnoLPEcj6HnaSpnp/l4uT+Y8DnIVuQ5sWoHKEx3c2F5Pn96vylme7pb5bp1xVM0qpnJuFnOuro6HnnkEW655RZuu+02ADZt2oSqqnzrW99i+/btcYZ7gAHjvmLFCtasWTNeQxIIxky/FY1np8kKeaoy4S/VWt0Yk2HPlGVWimz5pDQZZkLvh+5ArW7il+UYwz6ADdTrZlLjnko7xk5wRT3FCeEE6fQ1up70OciQp967NJl87cKl5Ke5eP1IBz1hk7IsL9etL+acJXlTPbQZxbgZ9xdffBHHcbj66qtjtl955ZV8+9vf5oUXXkhq3Pv7+wHw++de4xPB9MB2HN4PhmkZ4krNUWTW+jykTWD5UWgMuvYKsNyjkasJb1YyEpv2Y/sch2CK+x12ku/LUmV69Pj9LmB+gr+HN4Uv3T9MG77dMDiiJ48n94xD74OZhCxJ3Lp5AbduXjDVQ5nRjNtborKyEkmSWLJkScz2zMxMCgoK2L9/f9Jze3uj2ZFpaZPTim+60B8xeHh7A4faA3hVmXOW5nLx8rGLLAhOngOhCA3DyuM6LZvdwQhnpE9c20aXJBEYZaTdAqp0kwKXkLpNRpos0xbXADhKtqKQyuHhlZKXQS51u+gyLXqHrLolYIHbhTfB5G+hy0WrYcaJ2WQqMmXDvAO1eqopSWqvgUCQjHEz7h0dHaSlpeFK8OLJzs6mszO5qP+AW/6xxx7j9ddfp66ujrS0NC655BJuv/12MjPHpgU8E+gK6tz++B72NfcPbnvhYBt7m/u5/dzFUziyuUlbEk3vTsuiyzQnLJu+WNPoshK3rE1Er2lhOY5wyydhsdtFm2nFqRDmqQrzjgnH5ChKXAxdBcrcyf/GXkVhnqqiHytPVInWsy9PUn+eqSqs83moihj0mBayBDmqQoXHHZeZHx5hZZ47RrlUgQBGYdwNw6C2tjblMenp6UQikYSGHUDTNHp64nvrDjDglt+3bx+33347WVlZ7Nixg/vvv5+tW7fy+OOPJ/3sAbKzfajTIPN5JAb67/7XX/bFGHYA04an9jRz8zmLWVqQvE+vYPSk6nc8gOM4WH2BxPsA2e8iP2NiQkZ5joPS0ceBnn6MUXhfJVki4lMp9XunbRe60dzziSRb97Orq5+2UARFkijwutiYlzmobnZxjp+tbT20hHQM2yHbrVGR5Wdxemw2tu04dEUMNFniaH+YA0Pq1nWgRjfJ8jtsyEusLZ4PrAJ0y0aWQE0ikJRpGnT2hxPuy9IUNs7PSfm3nur7PdeYKfd7ROPe0tLCFVdckfKYa665Bo/Hg2EYCffrup6yFO7mm2/m+uuvJy8vbzCBadOmTeTm5nLnnXfy2GOPccMNN6QcQ1dXcIRvMvUMrZHcWR0vZwjQFzZ59O0aPnvm+MebArpJT8ikIM2FOgd6Qo+lJtUrSSR6glyAO2jSFhlbbavtOBwK63SYJpYDmarMErcroXzoAiSK0/zsDITotOyUCXYR2+Glpm4y5F7KPS6KplnW/HSoA7YdBzNsYFgOAdvCtGyUiBVTj75K1ViRpmI5DpokIYVN2sLHx10X0amOGPTaNjLJSxR3d/Uzz3JQTkLZMN+BOojLrvdIEpu9Hjra+xOdFj13GtzvsdAbMvjjrkZ6Qibl+WlcVlGAMoNq/abb/U410RjRuJeUlFBZWTniRe688076+vrQdT1uld3R0cGKFSuSnuv3+xMm01188cXceeed7N69e8TrzzTkFA/0eNvdkGHx/RcOsaWmi66QQWG6m3OW5PLl85bMmRKbkVjg0ugxrbgXbLFLwzPGP4jjOOwMhGge4urv0W06TZvT/Z64GK3jOGwLhMakRNZr2+wJhclU5IQx37nM7mCYuiH5E7pl02tFQIrGyAdQJClheKPdMNgbigw+C6n+KjZQrZssTVEjPxIFmsZKr8PRY5MJhagLf5XXnXS1PxN5u7qTu144RGPv8TDUk3ua+MEHV5HpHdsk9YXKNl4+1E7IsFic5+fGTfPJ8opclKGMWyCxoqICx3E4dOgQq1atGtze3t5Oe3t7zLZEJJoUhMNRV9VILvmZyCnzM9lRFx+qyPFqXL26aFSfUdUR5Jl9LdgOXFCex8qixLO4bz1dyYuH2gf/3dAT4ZGdjbx6pIN/v3QFp5TOvpyGsTLv2Aq4VjcI2jYuSaJQVU/opd1qmLQkiOH32zZHIgarh3Wve3eMhn2AsBN1Da/wCuM+QMiyaEnQN8AGKkMRqiI6ClI0/p2kpDBZjXoyIsfi972mRatpokkSJS5tTHkRZW4XpS6NgGWjyhKeWWTUIdo97aevV8cYdoB363v56etV3HnJ8lF/1k9fr+Z32+sGw1ivV3XyztFOfvThVRSkTw8J6enAuD1BF198Maqq8uSTT8ZsH/j35ZdfnvTc2267jfPOO49AIDbu+dxzzwFw2mmnjdcwpw03n17GWYuyY7Sl090Knz69lPy0kZtE/PztGm595F1+vbWOB7fV8Q9/eJ//ePkIzrDU2qMdwaT9iBt7Inz7uUp6Q4nDKXONeS6NzWk+LshI4wPpfpZ53Sfk2egwraRu3H471uh3m1bMCj8RqX6keoryrblIp2UnVXrTgYDt0GvbHNUNtgdCcb8XIGHHwFT4FZldgTBv9Qc5ENbZHYrwWl+QliRhymRIkkTaMaGd2cYbVR0cbEuc1/JufWIt+UQ0dod4/P3GuPyUytYAv95SdzJDnHWM28q9sLCQW265hV/+8pdkZ2dz2mmnsXfvXu655x6uvfZaKioqBo+9+OKLycvL45FHHgHgpptu4jOf+Qy33nort9xyC5mZmWzbto0HHniAU045hcsuu2y8hjltcKkyP7pmNc/ub2VXYy8eTeGqlQUsyR+5HHBXQw+/3VpHaIgIc8i0eezdBtbPy+DC5cebJ+xp6iWgJzce9d1hHn2vkc+cIWpKx4tEOuYDKMNahbQaZkq3r0eSKFBkapNMANLmmMDJSKTLMgokKYaLpc2MrvKH5y2kqlEfThpgOlA7zJAHbJu9oQh5qioqG4D+FLrw+hi8Vs9VttEbSfzX3d+SPDdhLjKu9T133HEHmZmZPProo9x3330UFBRw6623DirWDWBZFtaQUpTNmzfz4IMPcv/99/Ptb3+b7u5uioqKuOmmm7jttttmrQStLElcvrKQy1cWjum85yrbYgz7AJYDrx3piDHuK4sz8GlKTJ/j4XQEkq11BCdCmUujRtfjapwBCoYJnqSaCADM01QWuTU6AiECw5TNMhSZBe6JTahzHIc+y8bEIWsUDVammgxVIVdVaB3BGzJAl2nFGfcyl4tW3WR4gaJE1ItiHfv/vGNx8d2hxKWMQduhNqKzyDM32rWm4vxl+fz3WzU09cbfq4rC0eubpEoETtTrfS4zrlZTkiQ+85nP8JnPfCblcS+99FLcto0bN/KLX/xiPIcza9GTtU0CIsP2Lc71cfrCLF4+lDg7H2BepohTjSceRWaFx83BsE7omItXBUpcWpyASalbozpy/LihZMgSFcdCAxt8Xg6FdbqtaM10tqKwwuOa0FVhp2FxIBymy4oKrKbLMovcGmXu6ZsD02Na2LaDxPEM96H/PxxXAoOQrSqs9XuoCut0WsfFZR2ihj1Nktjg95BxbNFhJpCTHaBON4RxB3wuhY+sn8fP36ohPOQdNS/Tw6dOLR3151y9qoDf7ainrT9+QbK6eG6JoI3E7FwSz3LWl2Ty+O7mhPtWFscn1f3bpcsxzQO8Ud0Z95JbmufjI+vnTcAo5zal7miZWl3EwHQcil1qwt7fmhQ14PtDkTgDH7Ad3guGWefzkKkqbPR76DRMdBzyVXVCM6lNx2FXKBwjBtNn2+wLRfDKEvlDeskPtFeVkcicwt7jEctmZzDew6EQX2YGUfd7solKoaYhA1sC8fXn/Y5Dg2ENGvf0JNK0EP0bBiwrYQnkXONTp5ZSlu3luQNt9IYNSrO8XH/KPBbmjl5DItPr4jObF3D/m9VxneNePtTB/CwvH10/f7yHPiMRxn0GcumKAl6obOP1qljVv1NKMvhYAkPtd6v86NrVvHKond9uq6OqI4CmKKydl8E/nr0Qr1DAmhA0SYrrFpaIeS6NXFXhtb5AjCvfAhoME29YJ19V2DGkLahMhCJNYYN/YqRxayJGnMobRI1kvW4OGvcDoQg1EZ2BiHNNbStLtPFb3TuOE10xOw7tpoVXlshUEjf0OaobcYZ9YMzZskzAsdGP7U6TZSq8rrhWrUNpSxHK6hkSVlzsdtGQRELWAlpNk0XCuANw3tI8zlt6cg1grl1XzPwMN//01L4YT2Vjb4SfvX6U5flprJ0vKoCEcZ+BKLLE3R9cyUPb63m3vgfbcVhVlM6nTy/Dk8JQn7csj/OW5dEbNlBkCb9L/PmnC+2mlTBGD9BmmFRH9JgkMRtoNCw8wTArfeMfVkkliTqQTZ6ovWrAtDlgRshTFXwnYdAcx+FIRKdRN+m3o65xh6iLPUeRWeXzkDHs81M1hfEqMps8XhpNA5ckU6ypI+YPpNo/9MoZioJflhNOhgB8KTTr5zK24/D8gTa213WjKRIXLMtjU1k2juNQ3REkZNisKExLKHLzdk1XXAgSoF+3+PPeFmHcEcZ9xqIpMjefXsbNp4/93AzP9FI1E0AkhWEK2HbS7O963ZgQ454qY3xgX5OZpL0q0WYoJ1N/fyisczASH1d1gA7L5v1gmA+k+WJW8O4UxtgtSbhkCbckE7Bt2g2TfE1NWepY6lJjvBJDyR+WGFmkqRxOMN4sRY5LohRE8xTu/Mt+Xj7UPvgMPbm7mQuW5dHSF2FPUy+GDcvyfXxyQwlXHdP+6A4a9OsmveHk2fepMvPnEuKpEwimAYWaysGwnjA2nGp9ORGvsYhlU68nrtF2S9GOZ4btpJyQGCfRysx2HBpGqBHvsWwaDZP5QxIUF7g1GgwjzgPilqBAlXmrPxgjFpSnKGzwe3AlyV3wKwrLPG4OhSODBl4i2uJ1wbDEyEJVodWQCNjO4EQs61jLYKECGc+f3mvkpSHCWgC65fDMgbaYbYfagvzolSrcqsRzle3sqOsmqFtk+5IvUEqzvEn3zSWEcRcIpgF+RWGeS6N2mFH1SJAlyzQnSVSbiB/woYge09p0KOVuF1URnTbDTCoWA9HOaydK2HYIpshAH2C4G96vKKzxeTgU0gd7oGfIMss8Lqp1I04FsN2y2BOKsMGf3Bgs9rgo0hTqdBPbccjXVPKGrMQtx+G9YIhWwxo06l4pGodf6HYJw56E7XXdoz62L2Lyg5eq6BoittUeMBJWQSzJ9fGJjSKhDoRxn3XUdYV4eHsdVR1B/G6VsxZlc926eRP6kmnujfDK4TayvS4uXJ4v6k1PkDVeNz5ZptUwMBxIV2QWulxkKRLP9gYSuubna+MfYum2kieSHdUN+kYwvEPbq54ILlnCJZE0BwGiK+jsBBOIIk2jUFUHv0OWohCybd5LUvcebeyTuoWuT1FYniTEsD8UoWlY4l3IgSbDZOE0LhmcakYxd4uhK4GKpgMUprvwqAoODqsKM7j1jDKyfeK+gzDus4qaziD/9MRearpCg9vequqkuiPEVy9cOm7XeaOqgyd3N9PcG6Y3bNIdMgdFch7cWseXz1/MqWXZ43a9uYIkSSz1uBLq2W/2e9geDA8aPBkoUlVW+sa/hjrV1CxRNvrAeDIUmZJ0L6WOdFKTSVWSKFDVmOYvw8lXlZgV9FAkSSJ7iPBVxHGS5iyYTrTs70T1AtqTTBq6LJtOyyJ3lgpwnSxr56Xz2pHk2hujJcfn4n9u3DAOI5p9iCdvFvE/W+tiDDtEs6r/tr+Fj50yjwU5J1829fS+Fr7/4mH6k0jaHmoP8IMXD/Pbv9uIWxVZwuNFtqZxcaZGr2ESsh1yXeqI6napaNYNGg0T03FIk6PtaN3H1L+yFSVhIxuV5DF+TYIz03wU5meM2BLTcRxaDZMey8avyMxLkNhW7nHRaVkxkwkZ8MgSecrYJjWZioJflhJOTNIVGdcJ3kfHcTCT5BY4QGisy9MZQn/E4L43jvJufQ+GZbO8II2bTi1leWGsxoZu2vzxvUb2tvThVmTOX5rL2cfK4D6xoYRttd1sqekePF4G0j0qPcOS5dLdCv2RxP0aCkbRh2OuIoz7LOJgW2Jt5f6IxSuH27nptLIRP8NxHLpCBi5FJs2txu179N3GpIZ9gOrOEH/e28xH1glxnPEmQ1PJOMnPOBiKcGhICVsrFm2mxSa/B7+iUO5102PZdAxxz6vAQpdGjW4kzB73SPKopGl122ZHIBzz2dWKzHqfh7RjbnbdttkeDMcZ43xFZqPfizxG8R5ZkihzaVSG9Rgdf5Voq99EXoYuw6Ja1+mzbFQpKhu8dFgMXZIk0hSZcILVu1uC/FlY2247Dl97cj/bhsTMa7vC7G/u5z+vW0NZdjR/IWxY3P74npjOl8/sb+HjG0r44rmLcakyP75mNX96v5FdDb0oisRZi3JYWZjOfW9U815DL6btsLwgjRs3zefXW+p4ryG2wYxPk7lq9diku+cSwrjPIjxq8peJbxTlOK8daeehbfVUtgVwyRLr5mfyxXMXD/5gO4MGRzoSd3YaTldAdJobiV7T4nBEp9c63sN7RZI2pONF2LI5Oqw2HaLqc4cjOut8XlRJ4vQ0L3W6QbdloRBtYZqlKoQch4YE7vLRxtj3hiIxhh2g27LZE4ywOT3qWToSMehJ4DlosWx2h8Msd3vwpNAYT8QSjxu3JEez6W0HryxR6tYoSpCz0GVY7AyGYhQDuyydgGWzfljy3UK3Ro9pxU145mvaoCdkNvHcgdaEyXD1PWEe2VHP1y9aBsBvttbFtbQ2bPjT+01cvrKAZflpaIrMxzeU8PFhXvW7P7iKkGFhWg7pnuhztTTXzw9ePsK79T0EdJOleWlct674pAVxZjPCuM8iNpVl8V5jfPvEkiwPV48ww93b1Mv/fe4QncHoayoIvHqkg5a+CL/8xHpcqoxXU/BpCqHh/RaH4VIkNooe8Snptyy2B0MxWeE9uk3AtjnV752wBMhGw0ia5d49RBREliQWuF0M7xW41udBDoZpMy0ijoNflpmvqSweRfKY5Th0JI1RW4MyrX0pEvrqdIsWPUCpS2PFGFvylrg1SkbRaKdaT6z132yY9JoWGUMm0UWahuyHmohJ0LbRpOi2RRPc0Geq2N/Sn1Snv677eEhwd1PiNq5Bw+L5yjaWjdD90qspMOQWFmR4+MGHVtEdMgjoJsUZnmnfxGiqmX1TyznMrZvLuGBZLtqQv2pRupsvnL0oqXKdZTs88NZRbn98z6BhH8qB1n6e2tMERJs/jMZon7U4lw2lWSf0HeYK1RE9YblX67E2pBNFqhfiaF4G9bpB0HFQiSrFLfdoo+57bx1LXku4j+PKd3LKlL6oSM4R3YgrGxwv+pKUHZpEpWSHU6BpnJrm5dwMP2em+1nsmb0lcBme5OvB9CFhvFTf/mTuTJZXY36mVxj2USBW7rMIVZG56+qVbK3pZkddN363wrVri0lPoUj3nWcP8td9LSk/t677ePOMfzp/KR0Bg3cbegbLWTI8KululQyPymllWXzurIXj8XVmNckMCCRuQzpelLg0jkT0hMle2SnCOhAfq++3HHqCESI2FLtU3CPEwjUpmsCWKFnPf0wzHqBAU2hOYESH02yYLJiAcjM1hd1wz3Ep2Y+sK+bJ3c1xrVtdisRFQ1pNr5ufEZMsN4DfpXBZhYiTTwbCuM8yJEni9IXZnL5w5FK0g639vDxMJSoRhenHM1Jz/C7u/9haXjvSweH2AGXZXi4szxcz6TGSqmGJNoE6AaokUe52sT8UiXHP5yrReH8yTMehTjfiXLImsCccYX84QraqcHqaO+nKTJIkFrpc9IXCMVn3MlDm0gZzDUpdGj2WTZ1ukCoAFErhvj8Z8lWVLis+eJEuy8yf4/0YMr0uvnrBEu57/ShHOoIAFKS5uGZtMReWHzfunzq1jN2Nfbx9tGtwm1uV+MSG+SzKHZ9mR+/V97Clpgu/W+XDa4riEoDnOuJuzGHeOdo1WJ+ejCV5Pq5dWxyzTZIkzl2ax7kimeWEKdJUWhLEn73HYt3jieU42ByfUJS6XeSqCjW6ienYZCoqJa7UjVS6DCthHHrwGkRrvl9r7mKz15M0mWy+W0OVoS5iErJtXLLEfC02Fi5JEmt8HiQHjqaQoQ050G6YSevdT5RlHhdB26bZMAcnIemyzCqvW0xigbOX5HHGwhxePNROf8Tk4vJ8Mryxnia3KvOja1bzlz3N7GrsxaXKXLw8n43jEK4zbYd/e/oArxxqR7eiz+Sj7zZw+7mLuWDIBGOuI4z7HCbXn9z1KwGnlmXxf85JHq8XnDilbhf9tkNdRB9cQafJMitGaEM6FkKWxb5whE7TwnYgQ1VY7NYo1DR8ikLFGBq7eGQJGVKupAH6TItq3UjpBSjUomMYCWWE22ABVRF93I27JEms93vpNS1aTRO3FF2xC8N+HFWRuXRFQepjZIkPry3mw8MWByfLg1treW6YBn1Tb4R7X6vmjEU5ooX1MYRxn8NcuqKAh7c3cKg9vrztho3z+dJ5SxKep5s2bYEI2V4XPpf4IZ0oFV43i1wqjYaJJknMd2njZkBsx2FHMEz3kPh2h2nRZ1mc6pdHjK8DdJsWrcfGVurWyFEU2kfhCg+laCgzFjJVBUZImuu1bBzHmZAEtgxVicmMF0wPthztTri9vifMn/c087FThLY8COM+p1EVma9duJQfvHSYg21RA5/mVrioPI//c+7iuOMdx+G/3qzhhco2GnpC5KW5OGNhDl+9YCkuoUZ3QngUhcUTIHZSrxsxhn0A3YFaXSdbTd4sxXEc3guGaTbMQdnWal1nsUvDwkmYEDcUzzjlDBRrKnmqklTiFUC0MZh7JBINGkC0ez2OMO5znPUlmTx44wZeqGyjPaBz9uKcpDK1v3inll9vqR1Mqmrp03lidzOGZfPvl6+YvEELRqQ/hQEe3k1tOIcjepxQTdB2qNINzknz0W5adJkmtboZJ96iAqZto9t20laqo0WSJDb6POwPRag3zIQhgVxFmbVlZ4LELM3zs78lXo3T71I4Z0nuFIxoeiKMuwBVlrisInX8zHYcXjrYllDA4s3qTtoDEfL8Qud5uuBJYVhHKudqT1JnH7Qd6o91OytyaeRqBofDOl2WPfhcmECNYVFnBFjk0qjweU7wG0TRZJm1fi/zDZNdoVhJ2hxFoSJFbF8wfvRHTFRZmpD8G8dxePZAK29Vd2I7sH5+JuvnZ/Db7fVUtvajyTLr52fw+bMX4dUUPnVqCe839FI7RDRHAi5ens/SEcRx5hLCuAtGRVC3aO1PrG3WHTI50hYUxn0ascAd7Q3fP2yVrgIlI5RzmSn6nehDjGuBppGvqmzrD9I6zFNgExWayVEVCsehZj9XUzlH9VMTMYjYNhlKtK2sWLVPLG9Vd/LQMSPrUqKS1F86dzHFGSc3aRvAcRy+8+xB/rK3ZXCC+OyBNryqTGiIYuKB1n6qOoLc+5E1LMz186NrVvHw9nqOdATwuVTOWJjNJzaIWPtQhHEXjAqfS8GVJH053S2zJH98alcFo8NyHFoMEw2JPC3eNa1IEuu9HvaFw4Mr63RZZqFLo2CETPUMVaZHj3eCK0Bhgsz0VDH4IxF9XIw7RL/T4gTtcAUTw77mPr797EE6Ascn9S8ebKe5N8wvPr4edRy089+s7uRv+1riPIJDDfsA22q7ee5AG5dVFLAgx8c/X1J+0tefzQjjLhgVEdMmkuAHB5DhcYlV+yRSFdY5qh+Xr808VkKXP8xoZ2kKZ2p+ek0LE4csRRlVNv4it4sO04qTxy3W1GgG+zBSRfAjKWrjBdObP73fGGPYB9jb3M+f97ZwzTiUuL1Z1Yk1ykfEITrhGCmEKIgijLtgVDx3oJW+SOIsVVWkLE8aLbpBZTjC0L9Ej22zOxThbFVNWCM/1nKuDEVhk99LdUSn17RRZYl8VWVJgmYokiThkyX6kvQuTzvJpDrB5OM4DhHTprk3nPSYo53BcbnWWMMqaW5RmjhahHEXxLGvuY8tNZ1ke11csbIQlyqjpDDgwrZPHg1DytOGErQdaiI6Sz3j40HJUBTW+ZKXyw1ltcfNO8FwnGtVIiolK5gZ2I7Dz9+q4ZXD7bQHDOwUXpeCtPEJj5y3NJcndzcNKs2lIj/NxUfWzxuX684FhHEXDGLaDt95ppKXD7UPxrx+t6OBr1ywhIvK8/nlO7XUd8fP5tfME+1dJws9xQs3kmT1PNHkujROxWFXKEL42BC8ssRSl2vCGuAIxp97X6vmoe31Ix63KMfLdevGx8ietiCba9YW87/vNzLQSVoCFub66AkZg50qF2R7+IezFpHjEzkXo0UYd8Egv95Sy9/2t8Zsq+4M8h8vH+Ghv9vAzaeXcc+rVfSEj5dKVRSm8bmzhnf9FkwUvhRukvQJEMMZLQUuFxe5XPizfTS39ZGmyCKTfQYR1C1ePNiW8hgJWDs/g9vPXTyuJXFfuWApZy7K4bXD7Vg2nLYwiwvL8+kK6jx/oA2fS+XSigLcQihrTAjjLhjknequhNurOoI8s7+VD64uYnVxBk/saqIvYrI418dH188T2vOTyCK3i1bDIjxsBZ+tyCOWuE0GPlUhXUi2zjhqu4JxbVyH4wCbF2Szujhj3K9/5qIczlyUE7Mt1+/m4xtLxv1ac4WpfxsIpg2pOsR1HXOPLc71ccf5iTXnBRNPuqKwweflcCRCr2UjS8fEXDyiY5ngxClK95DlVekOpZZvfbe+Z5JGJDhZhHEXDLIkz8fhBE1k0lwKZwtZx2lDjqZwmubDObZ6F+5vwcmS5dPYvCCHZw60pjzOnKK8DsHYEUEMwSCf3FhCUUZ8tvVFy/NZlCtEaqYbkiQJwy4YN/75kmVcVJ6HT0v+TK0sFPKuMwWxchcMsrIone9fvZJHdjZQ3RHA71Y5c2EON54q4l4CwWzHqyl87+qVNPaG+eGLh3mzqjNGoGh1UTqfPr1sysYnGBvCuAtiqChK59tXiA5vgulDwIqq5WWrCqrwVEw48zI8/MeHV/HsgVZeP9JJ2LRYnp/GJzfNJy2BkJFgeiKMu0AgmJaELIvdoQgdpoUFeCWJ+S6N5R6XCEdMMJIkcVlFIZdVFE71UAQniDDugnHDsGz+Z2sdO+t7sByHisJ0bj69lAyPmO0LxobjOLwXjNBhHa/gCDkOhyM6LtFARiAYEWHcBeOC7Th8/al9vF7VObhtR10P79X3cN9H1+JzidpnwejpMC06rcSlmU2GIYz7FPHUnmb+uq+Flt4IOT4XFy/P4+Mb5gtPyjREGHfBuPD8gTbeGGLYB9jT3MdD2+u4elUhj73fRHfQYH6Wh+tPmU+aWzx+gsT02VacVv0AqSR4BRPHH95t4D9fOTIoE9vQE2Zvcy+9EZPPnblwSscmiEe8XQXjwnsNPUlfxm9Vd/Lk7mZa+4+3j3yuso27rqpgUa5/cgYomFFkKyoKesImOV7RaW7SsR2HX79TN2jYj2+Hp/e1cNOppUKpcpohfiWCccGVQve5riscY9gBqtqD/NebNRM9LMEMJUtVyE9gLBSgVJu7ORyO4/DakQ5+vaWWN6o6BoWMJpoDzX10BON7uwM09ESo7hifFrCC8UOs3AXjwlWrCnlqdzP9euxaSwJ6I4klLfc09WJYNpoi5piCeE7xedkbDNNuWRi2g1+RKXNpzJ+j5VitfWH+5W+VvNfQg+2AIsEf3m/i3y4pJ88/sTkIrx3pSLpPkSBvnFrACsYP8VYVjAvL8tP4zBllZHqPzxd9msK5S5PL1tqOgwifCpKhSBJr/V7OS/dzQWYaZ6X5KHPPXSPyw5eOsLM+atgBLAfeqerkhy8dnvBrqykm4Gkelfy0eGVLwdQiVu6CceOGTaVcUJ7PX/a2YFkOF5TnsSTPz989tINDbfFuu1VFGSnd+QIBgCxJc34V0h002JGkacuO2m56w8aElpxeUVHA73bU0xeJz4K4ZHnBhF1XcOLM9d+MYJwpzvDw2TMW8A8fWEh5QRqKLHHTqaVke2PnkaVZXm7dLKQsBYLR0K+b9IcTh7f6dZP+BEZ3PJmX5eUTG0vwDJuMbyzJ5AtnL5rQawtODLFyF0w4l1YUsijPz+PvN9EdMijO8PCJjfOFK08gGCVFGR4W5/k43B7vAVuS56cwfeJ/S589YwGnzM/k+cpWQobNyqI0rl07T3jfpinCuAsmhfL8NL5+0bKk+x3HIWzaeFRZCGIIBMNQZYlr1xZzz2vVhM3j9Wh+TeGaNcUo8uT8ZjaVZbGpLGtSriU4OYRxF0wpjuPwy3dqeelQG219OgXpbi5ans+nTyuNM/KdQZ0/7GykrT9Cfpqbj2+YR7Zv7iZYCeYWHz1lPplejb/ta6WtP0JBmptPnLGQ04pFG1ZBPMK4C6aUn71xlAe31g0K4HSHTQ63BTAtm88OUb16r6GHf3+6koae8OC25ypb+dZly1k7P3NyBy0QTBGXrCjgkhXHE9jy89Npa+ubwhEJpisiWCIAYGddN7/f2cC+5sl7UURMmxcOtsUp29nAs5VtGNZx9+N/v1kTY9gB6rvD/PdbQghHIBgPTNvhb/ta+NU7NWyt6Zo0gRzBxCBW7nOc9oDOvz99gHfre9AtB48qc+qCLL5z+Qr8E6z93tIXob47nHBfQ3eI9oBOcYaH1r4Iuxt7Ex63q7GHqo4Ai3J8I8bqHcehI6DjdSn4XeLRFwgGONjWz3efPcj+ln4AXIrEqWXZfO/qCrxCVnZGIlbuc5zvv3CILTXd6FZ0lh42bV4/MjnCGDk+jVx/4trcXJ+bLG90n+042EmU68Omw80Pv8ff/+F9XjrYlvRaT+1p5tO/e5drfrmN6365jX/+8z46k8hpCgRzCcdx+OFLRwYNO4BuObxZ3clPXqmawpEJTgaxfJnDtAd0ttd2J9y3rbaHsGFNaDOINLfK0lw/HYH4MWxelD24YihMd7OqKJ33GhKv3oOGxXsNvRztCJLl1dhQmhWz/5XD7fzHS0cIGtFa4LBp8/zBdrrDJvd9ZI3IzhfMafY297G7MbFAzva6qHte/EZmHmLlPofp6I/QpycWv+iNGASS7BsvQoZFfU8o4b7y/OPd4iRJ4rq1xeT4UitwdYdN/ndXU9z2P+9pHjTsQ9lZ181b1fFtagWCuURrXwTTTrwvoFtYIvQ+IxHGfQ6zMNdPWZY34b4F2T6yRzCmJ8uTu5po6Ikk3DdgdGs6g3zpT7v53guH6QwaZHlUclOMq6Uv/vMSbYOoNvfBtsAJjFwgmD2cvjCboiQiOEvz/KiTVEMvGF+EcZ/DuFWZK1YVMFxgyq1KfHBNIfIEu+J6kshpAvRHTEzL5l/+doC3jnYNrry7wya9YSPpebkJumMl2gbRh39Rjm9sgxYIZhl+l8pVqwvj3gNZXpXrT5k3NYMSnDQi5j7HuXXzAjI8Ki9UttHWb1CU4ebKlYVcuapwwq+9fn4mmgxGApfgghwff93XEpPkM4BhR1vJDvcW+jSZK1bGj/vyikJ21HUTMWPPWDs/g3NSdK0TCOYKnztzIYXpbl6sbKM7bDA/w8t164o5dUH2VA9NcIII4y7go+vn89H18yf9uqctyOLMxbm8eji2V/S8DA+f2FDCcwdak57rALIU/c+0YUmej4+um8c5S+KN9WUVBXQFdZ7Y3UxVRxC/S2FDSSZfvXDphHsnBLMPy3Z49kArVR1BitLdfHB10bTVV7cdhxcPtnGwNUCuT+PDa4uTJsl+eE0xH15TPMkjFEwUwrgLpgxJkvh/V1bwX28eZUd9D2HdZGl+Gn93aglL8/1UtqZ2mdsObCzJ4IvnLmFpflrK2OAnNpbw0fXzONoZzajPE01rBCdAa3+E/+/P+9jVeFzs6U+7mvj3y8pZXpA+hSOLpy9s8OXH9/D+sLHeeXE560uEquNsRxh3wZTiUmW+eO7ihPsuqyjgj+81sieFal6/brOicHQvVVWRWZqfhmU7/HVvC1UdAfL9bj68tmhCS/4Es4efvHIkxrADHG4L8J+vVvGzj66bolEl5qtP7o0x7ABHO0P8+JUj/OaGU2LK2wIRk19tqWNvcy84sGZeBrduLhO/ixmMMO6CaYsiS/zfqyr457/sY29zfOwdoCBtbI1j2o6tvIa+9B7f3cS/XFrO6uKMkxqvYHYTPqankIj3G3o52hlk4TRJ0OwLG0nHuq+ln601XZy+MAeIykB/+Yk9vFt//Pgd9T3saerjnutWoynTM+QgSI34qwmmNfMyPfzqk6ewujh+dS4Brf06z1cmj80P5z9frYpbzVR1BPnPV6uElrYgJYblEE6glwBRRbe+FFUck82Tu5tT1qd/74XD/Om9RgD++F5jjGEfYHtdN0/sjteNEMwMhHEXTHtkSeLuqyo4f2kuXu34I+sA+1v6+fYzB/nDzoYRP8ew7KSrmT1NvVS2ipp3QXLSPSrL8hO3V12S66NilOGhySCUqARlCA09YX786hH+sreZAy3Jw157m0THuZmKMO6CGUFBhoe7P7iSBQncnmHT5k/vN/LH9xp4aFsdjUlU7yzbIZJEisu0SVk/LxAAfHLjfLK9sdFMnybzkfXzUKeR+/qsxTm4lNSVIBHT4S97W0jlsBIx95mLiLkLZgwdAZ2jHcGE+6o7Q9z94hEAfr21jqtXF/Hd69bGHOPRFMrz/WxNoKe/IMfLKSKDWDAC5y7NI8Oj8fiuJpp7w+T4XVyxsjBhCeZUsrIoncsqCnhqT0vK45p7I/QnEZNSZbh0eUHCfYLpjzDughmD16XgdyuEkwlhH6M3bPL7HfWsW5jD+QuyYvbduKmEqvYA7cHjq3SfJvPRdfNE4pAgBsOy+dveFpr7IlQUpnH2klwkSeKUksyUE8EtNV08tbuJ1n6dPL+Lq1cXcuaiyTf+d15SjkdV+ON7jST7xXhUmerOxBPmHJ+LU0rFhHemIoy7YMbgd6lsKMnk+cr2EY+1HHh+XwvnL8hib3MvW2u6yfFpXLGykP+4ZhWPvddIU2+EbK/G5dNw5SU4cUzLprE3QqZHJdN7Yv0RDrT08Z1nDw72HpAl2FSWxV1XVZDuSf6Zz+xv4QcvHaF3yGr4naNdfPn8JXxwddEJjeVEkSWJrpCe1LDLQFmOlyNJvGFisjuzEcZdMKP4p/OX0hkweLehB3uE5Pa+sME3/7qf1450DCYYPbKzga9dsJR/u2zFJIw2NbWdQf66rwXTdjh7ca4QFhkHHtxay9/2tlDdGSLTo3Lagmy+duHSMRl5x3H40ctHYpoK2Q5srenmx69W8a+XLo85vidkUNcdYkG2l9/vbIgx7AD9usVj7zZy1aqJ79cwnLquxPknAKeUZPLZzWVsrelO2AFyXqZnIocmmGCEcRfMKHL9Lu7/2FpeP9LBofYAwYjJwzsaEpb99EdM3qmKbel6pD3If7x8hAdv3BCnaOc4DltruqnpCnJqWTaLcieuZvm32+r49ZZa+iLRl+rvdzZweUUBd15SPqW9sx0nmnToVuUZ18P7T+818t9vHh3sVdAdNnmuso23j3axINvLisI0bj69lIL01EZrb3Mfu5sSV1XsrOvBdhxkSSJi2tz1/CHerO6kK2SQ41XpDCWOXx9s7aeuK5QwIXQiSeVluHJVIcsK0jlzYTbPH4z1hnk1masnob+EYOIQxl0w45AkiXOW5nHO0jwcx6G6M8Trw4z4gmwvlp3YIXmwLcCLlW1cWnE8WaiuK8R3n6vk/YZeLAfSXApnL8nlXy8tH/cs6CNt/fxqSy39keOrJd1yeHJPC1UdQe66qoKCjMldNTmOw6+21PLSwXZa+yIUpLu5sDyfm08vnVZGvi9scN/rR3m3oQfdtFlekMZNp5VSUZTOswdaEzYh6ouY7GnuY09zH7sae7nvo2vI8iYXP+oM6En7m4cMC8t2kBWJu184xF/2HU9YS2bYIarE6HdP/uv23KW57KjtjnPNL8v3c/mx5//fLl9BpvcI7xztoi9iUpbt5cNrirk8QRMmwcxBGHfBjEaSJO66eiUPvFXDjvpudNOmvMDPp04t5c6/VSY9ryOgx/z7ey8cYucQIY9+3eLp/a3k+jS+dN6ScRuvZTvc+3p1jGEfyu6mPr7y1D5+/vH1uCexGcl/vXmUX2+pG+y01x02OdwWwLBsPnfWwkkbRypsx+FrT+1ne1334Lb6njAHWvv4z2vX0NqvJz/5GAfbAjy0vYEvnL0o6TGnLchmXoabxt5I3L6FOV6aeiOkuxXequ5McHZicv0aeUlaD08kH1s/j6aeME/va6UzZCABFYVp/NP5SwYnrW5V5usXLcO0HSKmhU9TptWETnBiCOMumPG4VJkvnBP/sl5WmMah1njZ2gy3wrlDWr3ua+7jvYaehJ/91N4W/u60UnJ8J/9i7g0bfPXJfeysT3ytAfa39PO/7zfyiY0lY75GULf4/bv1VLcH8btVrlxZwJp5qWP5j73XwG+31ce10LWB5yrbuPn0smnR9ey5A63sGGLYB2joifDIjgYK01009IRH/Jwj7anFijyawjVri/n52zXoQ+I9miyxv6Wfj/xqG/OzPHQER6+LsKksa9THjieSJHH7eUu4cVMJrx7pID/NxQcW5yaM/auyhOoSJmG2IP6SglnLrWctYnt1Z8yKTgIuWVHA/Czv4LbariBGEq3O3rDJ7X/awz0fWZ3SlTsa7n2tekTDPkB1Z/JEqGS09Uf4pyf2sr/l+ITmmf2t/MNZC/j4hsQThZcPtXPPq1UYSbIT67tDtPZHKBlyv6aKypb+uAnIAPXdIS5bUciepr4Yg5wIrzqyMMunTy+jMMPD8wda6QzqNPZE6AoZg/epvnvkScQAHlXimrVT20o1L83NdevmTekYBJPL1E/HBYIJYuPCHO7+4EouXZHP8gI/G0sz+eI5i/jahUsHj3Ech+X5aWT7kice7W/t57fb6k96PMm8A4nI9Ix93v3A2zUxhh0goFs8tK2e/kjiePBf9rYQNpMbw1y/K+W9mUwyvMnvSbpH5Zp1xXz+AwtZkudDJjqRG44qw7nLckZ1vcsrCvjRNau5ZfMCek5QvVCV4Zq181hVJJoSCSYXsXIXzGpWF2fw3SsTv1hfPtTG73Y0cKgtgGmlFsY5OA668/oI4jsD5Ps1PrJ+7KusvUkyvFv6df62r4WPnTI/bl9rX3xceShnLszGP01ctdetncfju5ppGhYLdykSFy3PB+CGTaVcv6GE1r4Irx5u57fb62k75rnJcCt8aE0xl64YW6JYVXsgadlltlcl3aPR3q9TmOHm/KW55Po1djf2oykS5y7N5dyleWP/sgLBSTI9frUCwSTzbn03/+/5Q3SnyHAeyngkty0vSEuYpCVLDBqPJXk+PnfmAgrT3WP+fCnhWvXYviQJUgXpLg4kaaq3fn4GX71w2ZjHMVFkeDW+fuEyfvp6FYfbo8IrBWkurltXzIXl+YPHqbKET5ORJLhx43wipo0jwcXl+ZRmj70UbWm+H0UiYbnlqqIMfvChlfRGTDI82mB55cdOObHvKBCMF8K4C+Ykj+9qHrVhl4AzFmWf9DVvOq2UytYAjb3H47VuVeLTp5VRlu3FrcqctTg3rv5+tKwuTo8RXhmgMN09WPY0nKtWFbG9tpvgsBqylYV+/vv6dRMiuvL8gVZeOdxB2LRYmpfGjZvmp6zHHspZi3M4fWE2rxxqoz9icdHyfNKGlZj9ekstj77bQHsg6kovyfTw2TMXnJBhBzhrUQ7LC9LYNyzkIQMXluehKvK4JFwKBOOJMO6COUlLCne0R5UH9es9qsxlFQVcOw4JUauKM/jJtav4/c4G6rvDZHhULlmRz/nL8kc+eRR87syFVLb2s7f5uBFKc6vcdGpJnAEc4PxleXSHlvCn9xs53BbA745K/H71/CUTYtj/89Uqfr+zfrCO/LUjnbx9tJOfXLOanFGWiqmyxEVJGpq8UdXBL9+pITIkj6C+J8x/vlLF+nkZzDuBxEBJktASOG5sYGd9D1dNsqysQDAaxt24m6bJPffcwwMPPMDll1/Oj3/841GdFwqFuOeee3j66adpb2+nuLiYa6+9ls997nPIssj7E4wvuSlWWrdsLsW0ozHyc5bksmZe8mSobbVdvHiwHd20WTc/gytXFaVceS/K9fP/XVx+UmNPRo7fxX99bB2PvtfIkbYAaW6FK1cVsbIodZ/xa9YW88HVRTT1hklzq2SdoB77SBztDPL4rqY4gZj9Lf38ekst/3TB0pjtpmXz87dr2VLTRciwWJLn44aNpawqTv59nj/QFmPYB+gMGfzvria+cM7iMY/7UFs/+5LkXGyv68a0nRP2tggEE8W4GvempibuuOMO6urqcFI1CU7Al770JbZt28ZXvvIVli1bxo4dO7jvvvvo6Ojgm9/85ngOUyDgylUFvHW0M05Tuzzfz42bSkfVNONnb1Tz8Pb6wdKrP+9t4eVD7Xz/g6umrC7coyl86tTSMZ+nyNKElbs9va+FP+9t4UBLX0INc4B9LX1x2/716QMxTYKqOoLsburjBx9cyYrCxAa+X08eakl27ZHoCOhJSyVDho1h2QQiNo4DWdOkskAgGNc30Ne+9jUUReHxxx8f03lbtmzh1Vdf5Stf+Qo33HADp512Grfddhs33XQTDz/8MI2NjeM5TIGAsxbn8qVzF7MsLxqHdasSp5Vl8e+XLx+VYT/U1s8fdjbG1VS/Wd3FwztOvmxutvDk7ia+98IhttV2D+roJ0Id5p3b1dDDa0c64o5r7o3wux0NST9nYQrt9vKCtFGMOJ718zMpyUosB1yU7uIbT+3jml9u5ZpfbuUfH9uVUGhHIJhsxnXlfv3113PZZZehqmP72Oeffx5Jkrjyyitjtl999dX84he/4MUXX+Tv/u7vxnOoAgHXrC3m6tVFHG7rJ82tjmnl+uz+NoJGYmM1lnr22YzjODyxu3mwI18q1s+PDX1sq+tO6F6HqHs/GTdsLOHN6k6OtMcec0pJxgk3QvFoCh9aXRSnWJfukmkPGBwY4rLfWttNbVeI/75+LfMyp174RzB3GVfjftVVV53QeZWVlRQUFJCVlRWzffHixUiSxP79+8dhdAJBPKosJXXxpiJV0GmMEakZQW/I4I/vN9IdMlma7+eKlYUjxpkDukVtipajcLwS4dbNC2K2p4r7J0sOhGjewQ8/tIpfvlPL/pY+VEli3fxM/uGsBSfVAOjTp5eR73fx/ME2OoMG8zI8uFSJp/e3xR3b3BfhDzsb+fL549eTQCAYK9MiW76zs5Ps7PhSI5fLRVpaGp2do2/QIBBMBheW5/HYuw2EEgjTrEmR8DWd6Anp/G5HI/U9IbI8KtesLWZpfrzr+p2jnXzv+UMxNfpP7Wnm+x9cSVNvmL/saaFfN1mY4+MLl6wYPMajKWR41Lj+5hA16htKMvjw2mIuWVEQl5l/1aoi/rCzIaEMb09I555Xq/j4hvkUJNADKMny8m+XLY/bfrJcubqIK4dkxn/nmeSNiVr7U4sDCQQTzYjG3TAMamtrUx6Tnp5OQUHi0pTREIlE8PkSx8o0TSMcHlnHOTvbhzoKzeipJj9/Zrz4ZwsTdb/PzU/nhppuHnzraIwu+1lLcrnjipV4tOn9LB5q6eO2P+7h8JDGOi8c7OBfrl7JNUOU7Czb4b8feS9OfOf9hl6+8dcDHG7tp2+I8X6juouf37SJ4mMu6XOXF/Dwlvj3hwMcbA/i8rooLEhcjfCda9fwnb/so7I5tr78YFuQg21BXqvu5J6Pn8K60qyxfv1xobQgDfa2JNxXkueftN+6eKdMLjPlfo9o3FtaWrjiiitSHnPNNddw1113nfAgPB4PhpFYu1nXdTyekXtbd3Ulj8NNF/Lz02lri88KFkwME32/P3d6KStyvbxyuAPDslldlM616+bR1x1kLFd1HIeHttfz0qF2Oo7JmF5RUcg16yau2chdf9kXY9gBOoM6975wkM3FaYMu7DerOtnbmFjWdlddd5xq257GXr735338y6XRcr/bNpfR3BnkpUPtcaGMvrDJr16v5rwFWQlr6pdnevjNx9fz7IFWfvb6UVqHtemt6Qjyw6f386NrVo/hm48fVy3P4/Ed9XETnzy/iyvK8yflty7eKZPLdLvfqSYaIxr3kpISKiuTu5/Gg7y8PKqqquK2RyIRAoHASXkFBIKJ5NyleSetHf5fb9bwmy21DDj4m/oi7GvuQ7dsrt8Qrwd/stiOw97mxAa7qiPIO0e7+MCSaEvcgG4mzS9I1nxtzxCNe7cq8+Xzl/Dq4XYS5ccdau2nvjtMWXbi5DNVkSnL9tIWSNyrfW9zH2HDmhJPSZ7fzb9cVs4Db9awu6kXx4GVRel8+vRSFuWemBqeQDBeTIuYe0VFBe+88w5dXV0xsffKykocx2HVqlVTODqBYOIIGxbP7m9heORetxz+vLeZj54yb0KU4lLp0A/ddc6SXOZnekbVJz3B6QB4NRm/W6UnQezdpUq8c7QTx8lmQZIyNkmKjjbRXGKqpWM2lWaz8fosGrpDmA4syPYm1fEXCCaTaSH9dtlll+E4Dk899VTM9ieeeAJN07joooumaGQCwcRypD1AQ4JmMgB1XWG6QyfWajQVsiQlVXlbkudj88LjLVE9msJH1xfjHaa/WpTuJs+fOKN9dXFsDD3Do3FKSWbCYw3L4QcvHeHTD7/LN57aRzCB0MzKonRWFCWuUV89L2PK8xskSaIk28fCHJ8w7IJpw7it3HVdj3Pf9/b2snv3bgCys7MpKSkB4OKLLyYvL49HHnkEgHXr1nHllVfyk5/8BFVVWbFiBW+//TaPPPII//iP/0hubu54DVMgmFYUpLtJdyn0JTBqkuTQH7FIoctywvzDWQup6gxSNaQePMerccvpZXElbjdsKqUs28ezB1rpCRnMz/Lw8VPms7O+l5++Xk3fkF7xa+Zn8PdnxZa1Adxx/hI6Ajq7m2LjlQOu/X7d4sVD7bhUmW9fsSLmGFmS+MzmMu564TCt/cfd84tyvHzuzPhrCQQCkJyx6sQmob6+ngsvvDDp/qFJdxdccAF5eXk8+uijg/t1Xefee+/lz3/+M+3t7ZSUlPCJT3yCm266aVTXn05JDsmYbskYs52Zcr+//tQ+XjrUnnBfcYabf7m0nFPLTr4r3XD6IyaP7GygvitEllfj2nXFSV3jyTjQ0sef97TQHzFZnOvj85csp787SEtfBK+mkDmkXt2yHZ490MqRtgCP725KqFiX49P4482nku6JX3c09YZ57N1GukI68zI8XH/KfDImSAd/pjBTnvHZwnS736kS6sbNuE810+mGJ2O6PRiznZlyv7tDOt96upK3qrviYu8QrQf/7+vXJz3ftB1+9XYN79R0EYiYLMz184kN81mfxBU+kbzV0MsDrxzhUFs/Hk1h/fxMbj9nEQfbArxT04UsRd3sd71wKK6BDERj6I/dvGnMk4y5ykx5xmcL0+1+n1S2vEAgmFiyvC7+5bLlfOjnWwdbzQ5ld1MfTb1hijMSl4R+55lK/ra/dfDfVZ0hdjf18r2rKlg3f/IM/LbaLv7tL/vpDkXd9Lpl8tqRDt5v6KE3fDzr/oldzfjdaow7f4DSbG/S7ykQCEbPtEioEwjmOo5Dyqz4ZP61g639vHI4vsFKW7/OH3Ymb7AyETy5u3nQsA+lJxxbTmcTDQkMf/nIEly2In/KOuoJBLMJsXIXCKYBuX4Xq4rT2VbbHbdvVVE6xRnxMqsA7xztStrAJpF060TS2jd6yVUHWF2chu1Aa59OfpqLi8rzufHUkokboEAwhxDGXSCYJnxmcxn13SGahpTGFaS5uHVzWdISq7y0VA1WJrdELC8t8QQkGUvy0rjzknJsx5mQWn6BYC4jjLtAME3YUJrFA9ev59F3G2jpj5Dnd3H9+nnMS9GK9pLlBTy0vYFDbYG4fWctyklwxsTxwdVFbKntojeBa344MrB5QbQCQBh2gWD8EcZdIJhGFGW4+eK5i0d9vKrIfP2CpfzgpcNUHjPw6W6Fi8rz+dRppRM1zIRsXpjNv161kl+8WsXBgWz5eRmYts3W2tge95dW5HNB+cnJ9goEguQI4y4QzHDWlWTymxs38GJlGx0BnQ8syaEse2pKyT6ysZSzSzNp6A7jdSnk+V1YtsNTe5rZUdeNLEmcviCby1cWCDU3gWACEcZdIJgFqLLEpRXTo8GSLEmUDmkEo8gS16wt5pq1E9flTiAQxCJqTgQCgUAgmGUI4y4QCAQCwSxDGHeBQCAQCGYZwrgLBAKBQDDLEMZdIBAIBIJZhjDuAoFAIBDMMoRxFwgEAoFgliGMu0AgEAgEswxh3AUCgUAgmGUI4y4QCAQCwSxDGHeBQCAQCGYZwrgLBAKBQDDLEMZdIBAIBIJZhjDuAoFAIBDMMoRxFwgEAoFgliE5juNM9SAEAoFAIBCMH2LlLhAIBALBLEMYd4FAIBAIZhnCuAsEAoFAMMsQxl0gEAgEglmGMO4CgUAgEMwyhHEXCAQCgWCWIYz7BGGaJj/60Y9YsWIFX/7yl0d9XigU4u677+a8885j9erVXHzxxdx///3Ytj2Bo535WJbF/fffzyWXXMLq1as599xzufvuuwmHwynPq6mpYfny5Qn/27Rp0ySNfvpz4MAB/v7v/56NGzeybt06brzxRrZu3TrieVu3buXGG29k/fr1bNiwgb//+7/nwIEDkzDimc2J3O+vfOUrSZ/l3/zmN5Mz8BnMgQMHuPTSS1m+fDlHjhwZ1TnT+flWp3oAs5GmpibuuOMO6urqGKuMwJe+9CW2bdvGV77yFZYtW8aOHTu477776Ojo4Jvf/OYEjXjm893vfpdHH32UL3zhC5x66qns27ePn/zkJxw9epT7778/6Xl9fX0AfOMb34gz5qoqfh4AtbW13HDDDSxevJgf/vCHAPzhD3/glltu4eGHH2bdunUJz9uxYwe33HILZ5xxBvfddx/9/f38+te/5sYbb+SJJ56gpKRkMr/GjOFE73d/fz+LFi3iBz/4Qdy+efPmTeiYZzq/+93vuOuuu8jIyBj1OdP++XYE486NN97o3HDDDU5ra6tTXl7u3H777aM675133nHKy8udhx56KGb797//fWfFihVOQ0PDRAx3xlNbW+ssX77cufvuu2O2P/zww055ebmzbdu2pOe+9dZbTnl5ufPWW29N9DBnLF//+teddevWOR0dHYPbIpGIc+655zo33XRT0vNuvPFG59xzz3Uikcjgto6ODmfdunXOP//zP0/kkGc0J3q/P/nJTzqf/OQnJ2GEs4stW7Y4a9ascR577DHnnnvuccrLy53Dhw+PeN50f76FW34CuP766/nNb35Dfn7+mM57/vnnkSSJK6+8Mmb71VdfjW3bvPjii+M5zFnDiy++iOM4XH311THbr7zySiRJ4oUXXkh6bn9/PwB+v39CxzhTcRyHF154gTPPPJOcnJzB7S6Xi0suuYQtW7bQ29sbd153dzfbtm3j4osvxuVyDW7PycnhrLPOSvk3mcuc6P2GqBdKPMdjJysri9///vd85CMfGfU5M+H5FsZ9ArjqqqtOyKVbWVlJQUEBWVlZMdsXL16MJEns379/nEY4u6isrESSJJYsWRKzPTMzk4KCgpT3beBFmZaWNqFjnKk0NjbS19fHsmXL4vYtW7YM27Y5ePBg3L6DBw/iOA7l5eVx+5YuXUp3dzdNTU0TMuaZzIneb4gad/Ecj53y8nJWrlw5pnNmwvMtjPs0orOzk+zs7LjtLpeLtLQ0Ojs7p2BU05+Ojg7S0tJiZtADZGdnp7xvAzH3xx57jKuuuop169Zx1lln8a1vfYuenp4JG/NMoaOjAyDhczmwbeCY8ThvrnMy962vr4/W1lY+//nP84EPfIC1a9dy3XXX8corr0zYeOcqM+H5FhlDo8QwDGpra1Mek56eTkFBwQlfIxKJ4PP5Eu7TNG3EzO/ZxmjveSQSSWjYIXrfUhnpAbf8vn37uP3228nKymLHjh3cf//9bN26lccffzzpZ88FdF0HSHgPNE0DSPhcRiKRmGNGe95c50Tvt+M4BAIB9u3bx2c/+1k+85nP0NnZyW9+8xs+97nP8f3vf58PfehDEzv4OcRMeL6FcR8lLS0tXHHFFSmPueaaa7jrrrtO+BoejwfDMBLu03Udj8dzwp89ExntPT+Z+3bzzTdz/fXXk5eXhyRJAGzatInc3FzuvPNOHnvsMW644YYT/xIzHLfbDZDw/g4YIq/XG7dv4J4nOm9gW6Lz5joner8lSeK1117D6/XGuObPOeccrr76au6++26uvvpqZFk4a8eDmfB8C+M+SkpKSqisrJzQa+Tl5VFVVRW3PRKJEAgETsorMBMZ7T2/88476evrQ9f1uBVPR0cHK1asSHqu3+9PmIR08cUXc+edd7J79+6xD3wWMZAUmii00d7eHnPMUPLy8gDo6uoa03lznRO938m2u1wuzj77bH7729/S2Ng49eVZs4SZ8HyLadw0oqKigtbW1rgHprKyEsdxWLVq1RSNbHpTUVGB4zgcOnQoZnt7ezvt7e0j3reBFdFQBlxqc9klD1BUVER2dnbCSVZlZSWapiVMKlq+fDmKoiQ9Lz8/f85NVkfDid5viAo5WZYVt33AhTzgFRCcPDPh+RbGfRpx2WWX4TgOTz31VMz2J554Ak3TuOiii6ZoZNObiy++GFVVefLJJ2O2D/z78ssvT3rubbfdxnnnnUcgEIjZ/txzzwFw2mmnjfNoZx6XXnopb731Fm1tbYPbgsEgzz33HOecc05Cz0d6ejpnnnkmzzzzTEzssaWlhbfffjvl32SucyL3e9euXaxdu5Zf//rXMdtDoRCvvfYaCxcunPKV5GxiRjzfU1ZhP0uJRCLOrl27Bv8rLy93brnllsF/19XVDR570UUXOR//+Mdjzv/yl7/srF+/3nnooYec7du3O/fee6+zYsUK5957753srzKj+OEPf+hUVFQ4P/vZz5zt27c7Dz74oLN27VrnG9/4Rsxxw+/522+/7axatcq5/vrrnWeffdZ55513nHvvvddZs2aNc/311zuGYUz2V5l2NDc3O6eddppz7bXXOi+//LLzxhtvODfddJOzfv1659ChQ47jOM7jjz/uVFRUOK+//vrgefv27XPWrl3r3HLLLc6bb77pvPTSS86HP/xh58wzz3Ta2tqm6utMe07kftu27dx8883O6tWrnZ/+9KfOli1bnGeeeca5/vrrnRUrVjgvvvjiVH6laU1dXd3g+/mb3/ymU15e7jzzzDOD2yKRyIx8vkXMfZxpbW2NE0N44403eOONN4DYpLtEbrS77rqLe++9l5///Oe0t7dTUlLCN77xDW666abJ+QIzlDvuuIPMzEweffRR7rvvPgoKCrj11lu57bbbYo4bfs83b97Mgw8+yP3338+3v/1turu7KSoq4qabbuK2224TErRAYWEhv/vd7/jBD37AHXfcgeM4rF+/nv/5n/9h6dKlANi2jWVZMT0QKioq+M1vfsOPfvQjPv/5z6MoCmeccQY//vGPB2OWgnhO5H5LksRPf/pTfvnLX/KXv/yFBx54AFVVWbduHQ8++KDwQKXgpz/9KY8//njMti9+8YuD///iiy/OyOdbcpwxip8LBAKBQCCY1oiYu0AgEAgEswxh3AUCgUAgmGUI4y4QCAQCwSxDGHeBQCAQCGYZwrgLBAKBQDDLEMZdIBAIBIJZhjDuAoFAIBDMMoRxFwgEAoFgliGMu0AgEAgEswxh3AUCgUAgmGX8/yCbsIvGWbMmAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "kmeans = KMeans(n_clusters=100, init=\"random\", n_init=1)\n",
+ "\n",
+ "clusters = []\n",
+ "for _ in range(100):\n",
+ " clusters.append(kmeans.fit_predict(noisy_circles))\n",
+ "clusters = np.array(clusters)\n",
+ "\n",
+ "CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
+ "\n",
+ "agg = AgglomerativeClustering(n_clusters=2, affinity=\"precomputed\", linkage=\"average\")\n",
+ "clusters = agg.fit_predict(-CoAssociationMatrix)\n",
+ "\n",
+ "plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters, cmap=\"tab20\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "35af2f72",
+ "metadata": {},
+ "source": [
+ "#### 3.2.4 Find the good number of clusters in each partitions for 100 partitions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "4207b096",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "8 NMI: 0.00011566251563091068\n",
+ "10 NMI: 0.00023373198039611758\n",
+ "12 NMI: 0.0\n",
+ "14 NMI: 0.00214617865119764\n",
+ "16 NMI: 0.0024818544496891283\n",
+ "18 NMI: 0.006031990097249684\n",
+ "20 NMI: 0.9999999999999974\n",
+ "22 NMI: 0.9999999999999974\n",
+ "24 NMI: 0.9999999999999974\n"
+ ]
+ }
+ ],
+ "source": [
+ "nmis = []\n",
+ "for k in range(8, 26, 2):\n",
+ " kmeans = KMeans(n_clusters=k, init=\"random\", n_init=1)\n",
+ "\n",
+ " clusters = []\n",
+ " for _ in range(100):\n",
+ " clusters.append(kmeans.fit_predict(noisy_circles))\n",
+ " clusters = np.array(clusters)\n",
+ "\n",
+ " CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
+ "\n",
+ " agg = AgglomerativeClustering(\n",
+ " n_clusters=2, affinity=\"precomputed\", linkage=\"average\"\n",
+ " )\n",
+ " clusters = agg.fit_predict(-CoAssociationMatrix)\n",
+ "\n",
+ " nmis.append(normalized_mutual_info_score(labels_noisy_circles, clusters))\n",
+ "\n",
+ " print(k, \"NMI: \", nmis[-1])\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "5d493dd4",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(range(8, 26, 2), nmis)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3ddc626d",
+ "metadata": {},
+ "source": [
+ "#### Comments:\n",
+ "Ensemble of 100 partitions containing 20 clusters appear to work well for the concentric circle data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4ab5df10",
+ "metadata": {},
+ "source": [
+ "### 3.3 Repeat the process for the elongated blob data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "41ef8c72",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "random_state = 170\n",
+ "X, labels_blobs = datasets.make_blobs(n_samples=n_samples, random_state=random_state)\n",
+ "transformation = [[0.6, -0.6], [-0.4, 0.8]]\n",
+ "blobs = np.dot(X, transformation)\n",
+ "\n",
+ "plt.scatter(blobs[:, 0], blobs[:, 1], c=labels_blobs, cmap=\"tab20\")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "6a9c5ea9",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "kmeans = KMeans(n_clusters=20, init=\"random\", n_init=1)\n",
+ "\n",
+ "clusters = []\n",
+ "for _ in range(100):\n",
+ " clusters.append(kmeans.fit_predict(blobs))\n",
+ "clusters = np.array(clusters)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "e0dda8f6",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
+ "\n",
+ "agg = AgglomerativeClustering(n_clusters=3, affinity=\"precomputed\", linkage=\"average\")\n",
+ "clusters = agg.fit_predict(-CoAssociationMatrix)\n",
+ "\n",
+ "plt.scatter(blobs[:, 0], blobs[:, 1], c=clusters, cmap=\"tab20\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ccd385ae",
+ "metadata": {},
+ "source": [
+ "## 4. Practical implementation of Ensemble clustering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "102ff7bb",
+ "metadata": {},
+ "source": [
+ "- The objective is to group together images representing the same person. The dataset contains 2800 images (200 persons and 14 images per person). As there is 200 persons, the number of expected clusters is 200."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "16c718c0",
+ "metadata": {},
+ "source": [
+ "#### 4.1 Running Kmeans on a single representation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "97ed54f1",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "filename = \"representations/densenet121.h5\"\n",
+ "\n",
+ "f = h5py.File(filename, \"r\")\n",
+ "data = np.array(f[\"data\"])\n",
+ "labels = np.array(f[\"labels\"])\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "79acab21",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "NMI: 0.8851436238144947\n"
+ ]
+ }
+ ],
+ "source": [
+ "km = MiniBatchKMeans(200)\n",
+ "clusters = km.fit_predict(data)\n",
+ "\n",
+ "print(\"NMI: \", normalized_mutual_info_score(labels, clusters))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "84971b19",
+ "metadata": {},
+ "source": [
+ "#### 4.2 Running Kmeans on all representations"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "f09a04e0",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "directory = \"representations/\"\n",
+ "files = [\n",
+ " \"densenet121.h5\",\n",
+ " \"densenet169.h5\",\n",
+ " \"densenet201.h5\",\n",
+ " \"inception.h5\",\n",
+ " \"inception_resnet.h5\",\n",
+ " \"nasnet.h5\",\n",
+ " \"resnet.h5\",\n",
+ " \"vgg16.h5\",\n",
+ " \"vgg19.h5\",\n",
+ " \"xception.h5\",\n",
+ "]\n",
+ "\n",
+ "km = MiniBatchKMeans(200)\n",
+ "clusters = []\n",
+ "for f in files:\n",
+ " ff = h5py.File(directory + f, \"r\")\n",
+ " data = np.array(ff[\"data\"])\n",
+ " labels = np.array(ff[\"labels\"])\n",
+ " clusters.append(km.fit_predict(data))\n",
+ "clusters = np.array(clusters)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "6cba086a",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "densenet121.h5\n",
+ " NMI: 0.8817267641060259\n",
+ "densenet169.h5\n",
+ " NMI: 0.8788637674639859\n",
+ "densenet201.h5\n",
+ " NMI: 0.8794119764315856\n",
+ "inception.h5\n",
+ " NMI: 0.8952033782797599\n",
+ "inception_resnet.h5\n",
+ " NMI: 0.8385824811497752\n",
+ "nasnet.h5\n",
+ " NMI: 0.8866301868250733\n",
+ "resnet.h5\n",
+ " NMI: 0.8700830295425884\n",
+ "vgg16.h5\n",
+ " NMI: 0.8444703426760213\n",
+ "vgg19.h5\n",
+ " NMI: 0.8845026162210827\n",
+ "xception.h5\n",
+ " NMI: 0.8718054429574429\n"
+ ]
+ }
+ ],
+ "source": [
+ "for i, f in enumerate(files):\n",
+ " print(f)\n",
+ " print(\" NMI: \", normalized_mutual_info_score(labels, clusters[i]))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "70e0899a",
+ "metadata": {},
+ "source": [
+ "#### Ensemble the results"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "950c9cf9",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "ensemble\n",
+ " NMI: 0.9372664229280685\n"
+ ]
+ }
+ ],
+ "source": [
+ "CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
+ "\n",
+ "agg = AgglomerativeClustering(n_clusters=200, affinity=\"precomputed\", linkage=\"average\")\n",
+ "clusters_ensemble = agg.fit_predict(-CoAssociationMatrix)\n",
+ "\n",
+ "print(\"ensemble\")\n",
+ "print(\" NMI: \", normalized_mutual_info_score(labels, clusters_ensemble))\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "afe6880b",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x_bars = [i + 1 for i in range(len(clusters))]\n",
+ "y_bars = [normalized_mutual_info_score(labels, c) for c in clusters]\n",
+ "\n",
+ "plt.bar(x=x_bars, height=y_bars)\n",
+ "plt.bar(x=[11], height=normalized_mutual_info_score(labels, clusters_ensemble))\n",
+ "plt.ylim([0.85, 0.95])\n",
+ "plt.xticks([i + 1 for i in range(11)], labels=files + [\"Ensemble\"], rotation=90)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d1b7e9e8",
+ "metadata": {},
+ "source": [
+ "## 5. Going further"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1a257f41",
+ "metadata": {},
+ "source": [
+ "Here, we propose to test combining"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "4a5ffd91",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(150, 4)\n",
+ "(150,) {0, 1, 2}\n"
+ ]
+ }
+ ],
+ "source": [
+ "data = datasets.load_iris()\n",
+ "X = data.data\n",
+ "y = data.target\n",
+ "\n",
+ "print(X.shape)\n",
+ "print(y.shape, set(y))\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "6c2f0b42",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "NMI kmeans: 0.7581756800057782\n",
+ "NMI agglomerative: 0.7700836616487866\n",
+ "NMI spectral: 0.7979885217013317\n"
+ ]
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import DBSCAN, SpectralClustering, AffinityPropagation, MeanShift\n",
+ "from sklearn.mixture import GaussianMixture\n",
+ "\n",
+ "kmeans = KMeans(n_clusters=3)\n",
+ "clusters_km = kmeans.fit_predict(X)\n",
+ "print(\"NMI kmeans: \", normalized_mutual_info_score(y, clusters_km))\n",
+ "\n",
+ "agg = AgglomerativeClustering(n_clusters=3)\n",
+ "clusters_agg = agg.fit_predict(X)\n",
+ "print(\"NMI agglomerative: \", normalized_mutual_info_score(y, clusters_agg))\n",
+ "\n",
+ "spectral = SpectralClustering(n_clusters=3)\n",
+ "clusters_spectral = spectral.fit_predict(X)\n",
+ "print(\"NMI spectral: \", normalized_mutual_info_score(y, clusters_spectral))\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "5bbf35f5",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "NMI: 0.7979885217013317\n"
+ ]
+ }
+ ],
+ "source": [
+ "clusters = [\n",
+ " clusters_km,\n",
+ " clusters_agg,\n",
+ " clusters_spectral,\n",
+ "] # , clusters_affinity, clusters_shift, clusters_db, clusters_mixt]\n",
+ "clusters = np.array(clusters)\n",
+ "\n",
+ "CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
+ "\n",
+ "agg = AgglomerativeClustering(n_clusters=3, affinity=\"precomputed\", linkage=\"average\")\n",
+ "clusters_ensemble = agg.fit_predict(-CoAssociationMatrix)\n",
+ "\n",
+ "print(\"NMI: \", normalized_mutual_info_score(y, clusters_ensemble))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "10d768ca",
+ "metadata": {},
+ "source": [
+ "#### Comments:\n",
+ "Although ensemble did not allow to reach a better classification, it still allowed to reach a partition corresponding to the best algorithm (here spectral), which was not known a priori."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "3e24cf64",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "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": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tp/clustering/ensemble/stater.ipynb b/tp/clustering/ensemble/stater.ipynb
new file mode 100644
index 0000000..db9e2cf
--- /dev/null
+++ b/tp/clustering/ensemble/stater.ipynb
@@ -0,0 +1,123 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "0f7e586d",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "from sklearn import datasets\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "plt.style.use('seaborn')\n",
+ "plt.rcParams.update({'font.size': 18,\n",
+ " 'xtick.labelsize' : 18,\n",
+ " 'ytick.labelsize' : 18,\n",
+ " 'legend.fontsize': 20,\n",
+ " 'axes.labelsize': 20,\n",
+ " 'axes.titlesize': 20,\n",
+ " 'figure.figsize': (8, 8)\n",
+ " })"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cb55d2f5",
+ "metadata": {},
+ "source": [
+ "## Concentric circles toy data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "6204f88f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n_samples = 500\n",
+ "data, labels = datasets.make_circles(n_samples=n_samples, factor=0.6, noise=0.05)\n",
+ "\n",
+ "plt.scatter(data[:, 0], data[:, 1], c=labels, cmap=\"tab20\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1599ee1a",
+ "metadata": {},
+ "source": [
+ "## Elongated blobs toy data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "26808f66",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "random_state = 170\n",
+ "data, labels = datasets.make_blobs(n_samples=n_samples, random_state=random_state)\n",
+ "transformation = [[0.6, -0.6], [-0.4, 0.8]]\n",
+ "data = np.dot(data, transformation)\n",
+ "\n",
+ "plt.scatter(data[:, 0], data[:, 1], c=labels, cmap=\"tab20\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "8b5f5c69",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "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": "3.9.7"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tp/clustering/ensemble/subject.pdf b/tp/clustering/ensemble/subject.pdf
new file mode 100644
index 0000000..82901fa
Binary files /dev/null and b/tp/clustering/ensemble/subject.pdf differ
diff --git a/tp/clustering/gmm.ipynb b/tp/clustering/gmm.ipynb
new file mode 100644
index 0000000..7ee876f
--- /dev/null
+++ b/tp/clustering/gmm.ipynb
@@ -0,0 +1,2463 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "e268ad08",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from IPython.core.display import HTML\n",
+ "\n",
+ "HTML(\n",
+ " \"\"\"\n",
+ "\n",
+ "\"\"\"\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "58fa497c",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "plt.rcParams[\"figure.figsize\"] = (8, 8)\n",
+ "sns.set_theme()\n",
+ "sns.set_context(\"talk\")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "51539fa1",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "# A second partitionning-based algorithm: Gaussian Mixture Models\n",
+ "\n",
+ "## Outline\n",
+ "\n",
+ "- Recap of Kmeans and limitations\n",
+ "- Derivation of GMM in 1D\n",
+ "- Implementation in scikit-learn\n",
+ "- Parameter selection"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "48cd7431",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Kmeans: recap and limitations\n",
+ "\n",
+ "### Recap\n",
+ "On a simple 1D example, present how the Kmeans algorithm works\n",
+ "- Training\n",
+ "- Inference"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "eaf998b0",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Exercise\n",
+ "\n",
+ "Build a 2D toy example containing 2 natural clusters (coming from two multi-variate Gaussian distributions). The clusters should have different scale (one very dense and one more spread out). Each cluster contains 500 points.\n",
+ "\n",
+ "_Use the code from the Agglomerative clustering slides as a starting point_."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "d02121b3",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([4.5, 4.5])]\n",
+ "covariance = [np.array([[0.1, 0], [0, 0.1]]), np.array([[2, 0], [0, 2]])]\n",
+ "n_points = 500\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance[i], size=n_points)\n",
+ " for i in range(2)\n",
+ "]\n",
+ "data = np.r_[data[0], data[1]]\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.axis([-1, 11, -1, 11])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ac0dab3e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Exercise\n",
+ "\n",
+ "- Build a 2D toy example containing 2 natural clusters (coming from two multi-variate gaussian distributions). The clusters should have different scale (one very dense and one more spread out). Each cluster contains 500 points.\n",
+ "\n",
+ "- __Try to cluster these points using Kmeans? What do you observe?__"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "bd1dfe95",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "\n",
+ "km = KMeans(n_clusters=2)\n",
+ "clusters = km.fit_predict(data)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.axis([-1, 11, -1, 11])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1f829a11",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Exercise\n",
+ "\n",
+ "- Build a 2D toy example containing 2 natural clusters (coming from two multi-variate gaussian distributions). The clusters should have different scale (one very dense and one more spread out). Each cluster contains 500 points.\n",
+ "\n",
+ "- Try to cluster these points using Kmeans? What do you observe?\n",
+ "\n",
+ "- __Can we solve the problem by normalizing the data?__"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "6aa5c368",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.preprocessing import StandardScaler\n",
+ "\n",
+ "ss = StandardScaler()\n",
+ "data_scaled = ss.fit_transform(data)\n",
+ "\n",
+ "km = KMeans(n_clusters=2)\n",
+ "clusters = km.fit_predict(data_scaled)\n",
+ "\n",
+ "sns.scatterplot(x=data_scaled[:, 0], y=data_scaled[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "520d81fb",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Gaussian Mixture Models\n",
+ "\n",
+ "Derivation on a 1D example"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "47e24912",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [1, 4.5]\n",
+ "scale = [0.1, 1.5]\n",
+ "n_points = 50\n",
+ "\n",
+ "data1D = [\n",
+ " np.random.normal(loc=means[i], scale=scale[i], size=n_points) for i in range(2)\n",
+ "]\n",
+ "data1D = np.r_[data1D[0], data1D[1]]\n",
+ "labels = [0] * n_points + [1] * n_points\n",
+ "\n",
+ "plt.figure(figsize=(8, 2))\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "be07984f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "Let's suppose we manage to find the true cluster centers (using KMeans for example). Then, the decision boundary is:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "e4ab9fe2",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(8, 2))\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "\n",
+ "plt.scatter([1, 4.5], [0, 0], color=\"k\", marker=\"x\", s=200)\n",
+ "plt.axvline(x=2.75, color=\"k\", linestyle=\"--\")\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b4bbef06",
+ "metadata": {},
+ "source": [
+ "Does not allow to properly cluster the points. "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "aa7b582b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "Now if we also have access to the true variances of the distributions of the centers:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "ce7d1263",
+ "metadata": {
+ "scrolled": true,
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import scipy.stats as stats\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b8fd29f9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Question: In which cluster should we place the black point ?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "4c49e48a",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([2], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "87da1c72",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Gaussian Mixture Model algorithm\n",
+ "\n",
+ "- If we know the correct parameters of the clusters (mean and variance): we can correctly classify a point $x$ (cluster with maximum likelihood)\n",
+ " - Likelihood: $p(x|C_k) = \\frac{1}{\\sqrt{2\\pi\\sigma_k^2}} \\exp \\left(\\frac{||x - \\mu_k||^2}{2\\sigma_k^2}\\right)$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9d11296f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Question: In which cluster should we place the black point ?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "87e7c92c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([0], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "03d5be72",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Question: In which cluster should we place the black point ?\n",
+ "\n",
+ "Let's zoom in!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "fdacd9f9",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = np.linspace(-0.7, 0.7, 100)\n",
+ "\n",
+ "plt.figure(figsize=(8, 4))\n",
+ "\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([0], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "48509178",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Question: In which cluster should we place the black point ?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "65280fcc",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([1.315], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "13867b50",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Question: In which cluster should we place the red point ?\n",
+ "\n",
+ "Let's zoom in, and compute the likelihoods. __Can we really conclude that the point is in the blue cluster?__"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "b50b205b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = np.linspace(1.3, 1.33, 100)\n",
+ "plt.figure(figsize=(8, 4))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([1.315], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "f08f136c",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.02794258414879452 0.027912633932334185\n"
+ ]
+ }
+ ],
+ "source": [
+ "p_x_blue = stats.norm.pdf(1.315, means[0], scale[0])\n",
+ "p_x_orange = stats.norm.pdf(1.315, means[1], scale[1])\n",
+ "\n",
+ "print(p_x_blue, p_x_orange)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "62cb755e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Gaussian Mixture Model algorithm\n",
+ "\n",
+ "- If we know the correct parameters of the clusters (mean and variance): we can compute the probability that a point $x$ belongs to a cluster $C_k$\n",
+ " - Likelihood: \n",
+ " $$p(x|C_k) = \\frac{1}{\\sqrt{2\\pi\\sigma_k^2}} \\exp \\left(\\frac{||x - \\mu_k||^2}{2\\sigma_k^2}\\right)$$\n",
+ " - Probability: \n",
+ " $$p(C_k|x) = \\frac{p(x|C_k)}{\\sum_j p(x|C_j)}$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "383c80a2",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "P blue = 2.6043079246504417e-19\n",
+ "P orange = 1.0\n",
+ "Sum = 1.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "x = np.linspace(-0.7, 0.7, 100)\n",
+ "\n",
+ "plt.figure(figsize=(8, 4))\n",
+ "\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([0], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "p_x_blue = stats.norm.pdf(0, means[0], scale[0])\n",
+ "p_x_orange = stats.norm.pdf(0, means[1], scale[1])\n",
+ "\n",
+ "p_blue_x = p_x_blue / (p_x_blue + p_x_orange)\n",
+ "p_orange_x = p_x_orange / (p_x_blue + p_x_orange)\n",
+ "\n",
+ "print(\"P blue = \", p_blue_x)\n",
+ "print(\"P orange = \", p_orange_x)\n",
+ "print(\"Sum = \", p_blue_x + p_orange_x)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "90a00923",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "P blue = 0.5002681058054131\n",
+ "P orange = 0.49973189419458686\n",
+ "Sum = 1.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "x = np.linspace(1.3, 1.33, 100)\n",
+ "plt.figure(figsize=(8, 4))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], scale[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], scale[1]))\n",
+ "\n",
+ "plt.scatter([1.315], [0], color=\"k\", marker=\"x\", s=200)\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "p_x_blue = stats.norm.pdf(1.315, means[0], scale[0])\n",
+ "p_x_orange = stats.norm.pdf(1.315, means[1], scale[1])\n",
+ "\n",
+ "p_blue_x = p_x_blue / (p_x_blue + p_x_orange)\n",
+ "p_orange_x = p_x_orange / (p_x_blue + p_x_orange)\n",
+ "\n",
+ "print(\"P blue = \", p_blue_x)\n",
+ "print(\"P orange = \", p_orange_x)\n",
+ "print(\"Sum = \", p_blue_x + p_orange_x)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a1f46623",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Gaussian Mixture Model algorithm\n",
+ "\n",
+ "- If we know the correct parameters of the clusters (mean and variance): we can compute the probability that a point $x$ belongs to a cluster $C_k$\n",
+ " - Likelihood: \n",
+ " $$p(x|C_k) = \\frac{1}{\\sqrt{2\\pi\\sigma_k^2}} \\exp \\left(\\frac{||x - \\mu_k||^2}{2\\sigma_k^2}\\right)$$\n",
+ " - Probability: \n",
+ " $$p(C_k|x) = \\frac{p(x|C_k)}{\\sum_j p(x|C_j)}$$\n",
+ " \n",
+ "#### How do we find these papameters ?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "5f5da58f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(12, 2))\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0])\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e43506b9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Gaussian Mixture Model algorithm\n",
+ "\n",
+ "- If we know the correct parameters of the clusters (mean and variance): we can compute the probability that a point $x$ belongs to a cluster $C_k$\n",
+ " - Likelihood: \n",
+ " $$p(x|C_k) = \\frac{1}{\\sqrt{2\\pi\\sigma_k^2}} \\exp \\left(\\frac{||x - \\mu_k||^2}{2\\sigma_k^2}\\right)$$\n",
+ " - Probability: \n",
+ " $$p(C_k|x) = \\frac{p(x|C_k)}{\\sum_j p(x|C_j)}$$\n",
+ " \n",
+ "#### If we knew the correct cluster assignements for the points, would we be able to compute the Gaussian parameters?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "5a4da38d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(12, 2))\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "02e988d0",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Gaussian Mixture Model algorithm\n",
+ "\n",
+ "- If we know the correct parameters of the clusters (mean and variance): we can compute the probability that a point $x$ belongs to a cluster $C_k$\n",
+ " - Likelihood: \n",
+ " $$p(x|C_k) = \\frac{1}{\\sqrt{2\\pi\\sigma_k^2}} \\exp \\left(\\frac{||x - \\mu_k||^2}{2\\sigma_k^2}\\right)$$\n",
+ " - Probability: \n",
+ " $$p(C_k|x) = \\frac{p(x|C_k)}{\\sum_j p(x|C_j)}$$\n",
+ " \n",
+ "- If we know the correct cluster assignements of the points we can compute the mean and variance of the Multi-Variate Gaussians\n",
+ " - Mean:\n",
+ " $$\\mu_k = \\frac{\\sum_i p(C_k|x_i).x_i}{\\sum_i p(C_k|x_i)}$$\n",
+ " - Variance:\n",
+ " $$\\sigma_k^2 = \\frac{\\sum_i p(C_k|x_i).(x_i-\\mu_k)^2}{\\sum_i p(C_k|x_i)}$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5a208100",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Gaussian Mixture Model algorithm\n",
+ "\n",
+ "- If we know the correct parameters of the clusters (mean and variance): we can compute the probability that a point $x$ belongs to a cluster $C_k$\n",
+ " \n",
+ "- If we know the correct cluster assignements of the points we can compute the mean and variance of the Multi-Variate Gaussians\n",
+ "\n",
+ "__Does it ring a bell?__\n",
+ "\n",
+ "__How can we compute the means and variances ?__"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d17f69b1",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### The Expectation Maximization Algorithm for 1D GMM\n",
+ "\n",
+ "- Fix K, the desired number of clusters\n",
+ "- Initialize the K means and variances at random\n",
+ "- Repeat:\n",
+ " - Compute the soft allocations of data points under current parameters of the Gaussians\n",
+ " - Update the parameters using the new soft allocation values\n",
+ "- Stop when the total likelihood is not changing anymore\n",
+ "\n",
+ "__Exercise:__ Try to implement EM to fit a GMM to the 1D toy example"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "800f6b20",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Initialization\n",
+ "\n",
+ "means = [0.5, 0]\n",
+ "stds = [np.sqrt(0.5), np.sqrt(0.5)]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], color=\"k\")\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "5053cfe5",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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zcXkaEVHuyJioq1evRiQSwbZt2/rdvmXLFsyZMyfj5LdzPfvss2hpacGSJUtGV9M8J7tCvTPZVYW5PZN9mDC3n8sMqQnz2tRzhaNxdPUklJRJRETOZBwzX7lyJVasWIG7774boVAIdXV12LJlC/bs2YPNmzen77d27Vrs3r0bBw4cSN/2nve8B+95z3swZ84cuFwuvPzyy/j2t7+NWbNm4YMf/OD4vKIcle7mFgJaquvbiaRhoqkt1TIfZFmaTSud1v/5Haop6x13b2zrwrxpU2sSIxFRLsoY5kIIbN68GRs2bMDGjRsRiURQX1+PTZs24brrrhv2sXPnzsUPf/hDNDc3I5lMoqamBrfccgtuv/32KbeJjN0yFoFKCJfHcXkt4R4YpjWTvbZs6IltWqqbXXZHIHs6IQoGznofDb/PjUChGx1dCZxpZZgTEeWCEc1m9/v9WL9+PdavXz/kfR577LEBt23YsGHsNZtkVI+Xn0mNl7t0DWXFBUPer+/zGaFGuGrmO37u2rJCdHSFcaaNp6cREeWCqTULLYvMkNqZ7HaQVpf5oGnDLB30+CCKSlN1UDNuXlNu9QSc4VGoREQ5gWE+QZS3zFNhXjNMF7tNUzyjvaasqF8diIgouxjmE0DGuyGj1gYv2Qlze0a7oklwqZZ5U3sXzNS4PRERZQ/DfAKY4ab0n1WFedNowlzxjPbaVJgnDYmWKbQDExFRrmKYT4D0THavH1qB88NJumNJhKNxACMM8+JqAIDsbIE0nJ92VhEsgEu3xunZ1U5ElH0M8wkwXuPlAFA9kjAPWmEOKWF2NDt+fl3TUFVqPW8jJ8EREWUdw3wCjFeY+31u+H3ujPcX/jJAt1Yhyj5d/k7Ya9vZMiciyj6G+QRQviytdeTj5QAghJbuajcVhbk9CY4tcyKi7GOYjzMpTZgRO8xrlJQ5mpnsNrur3T65zakatsyJiHIGw3ycyWg7kJp0Juyxa4fSM9nLRx7mQnXLPBXmkWgc3THnk+qIiGjsGObjrDc8BbRApfPypMSZ9tTub6VjaZmrCfOqUl/6z83tXJ5GRJRNDPNxZkas2ePCXwahZ56slkmoI4Z4wjpbfjQtcy1odfHLaBtkMua4Hn6fGz6vNamuOcQwJyLKJob5OLPHqDVFXeyNqS52IYCqEl+Ge/fq+/z2FwwnhBDp1nkTx82JiLKKYT7OZCo47dnkTtnBWREsgNs18rdPFJYALi8AdV3t1akwZzc7EVF2MczHmRlOhXmwSkl5dnBWjWK8HLBa0nYd1I2bF6bqxJY5EVE2MczHkbUszQpOoahlng7zUXSx29Lj5oqWp9kt8yaOmRMRZRXDfBzJaAgwEgDUdbOfTQVn5VjCXPHyNHvMPNwZRyxuKCmTiIhGj2E+juxWOSCgFTtflialTId5delYWuaqw7y3q7+JXe1ERFnDMB9H6WVpRaUQLo/j8to7YognrWVplWMIc2F3s3eHIePOu8aLC93wenQAnARHRJRNDPNxZB9qompZ2pk++6CPqZu93/I0561zIQSqU/XgWnMiouxhmI8juztb1Xj5mbYoACDo98Dr1kf9eFEQANxW+KpYaw70jptzRjsRUfYwzMeRHZiqlqXZLfOxzGQHUsvTiqv61c2p3uVpbJkTEWULw3ycSCmVL0tzGuYA0hPxZOSskjqll6cxzImIsoZhPk5kVwhIxgGoa5k3pbrZxzL5zSZSh72YHWrC3O5mb++IIZbg8jQiomxgmI+Tvt3Ydte2U+mWuYMwt1vmpqKWed/laWc5CY6IKCsY5uPEnskuCksgUnuiO9HZnUBnt7UBTVXJ6LZy7cv+YiE7WyFN5+eQl/g98KT2iG9qY5gTEWUDw3yc2N3Y6lrl0fSfnbXMU/WRJmRnm9NqQQiR7vZny5yIKDsY5uPEDnN7jNop+7Q0n9eFogLXmMsR/jJAWG+7qhntlcFUmIcZ5kRE2cAwHydmRwsAQAtUKCmv70x2IcSYyxGaC8JfDkDduLm9gU1LqEdJeURENDoM83HSe465om52BTPZbenlaYpmtFeUFABgNzsRUbYwzMeBTMYguyMAAKGoZd6kYI25TbOXp6nqZrdb5uEemFIqKZOIiEaOYT4O7C52QGXL3PmyNJtQvDytMmi1zJOGiXBnXEmZREQ0cgzzcZDeXU13QRQGHZcXTxhoDVvj0Upa5n22dJUKWtIVferErnYioonHMB8H6WVp/goI4fwSnw33TixT0TLXAqnegkQ3EIsOf+cR8Lp1FBdZR7wyzImIJh7DfBzY3dd2d7ZTdkC6dA0lAecb0Gh96qVu3Nzqam8Jc0Y7EdFEY5iPA3uWuKZojbndxV5RUgDNwbI0m/AWAR5rFzlVe7Tbk+DYMicimngM83Fgqg7zSGq8vHTs27ieq3fcXNHytKC91pxhTkQ00Rjmikkp07PZVXWz213XlQomv9l615qr7WY/y252IqIJxzBXTPZ0AAkr0FR3sysN84Dq5Wm9R6EmkjwKlYhoIjHMFZP91pirCnOr61rF7m820Wd5mgp9v2hwEhwR0cRimCuWDkdvEYTH+Rh3PGEg0mUdfaoyzNNHoUbbIA3nR6GWBrzQNWty3lnu0U5ENKEY5or1HrCidvIboHgCnF0/KSE7W52XpwmUB+3laZwER0Q0kRjmitkTylSdlmaPl2uaQJmCNeY24S8FUsvc+m4/64S9rSuXpxERTSyGuWLplrmiPdlbUi3z8uIC6Lq6t0toLoiiMgCA2akozHkUKhFRVjDMFUvv/qa4Za5iG9dz2b0HUlXLnBvHEBFlBcNcIWka6fFnVS3z8ViWZhN+K8xVdbPbB66cDXcrOcCFiIhGhmGukIy2AdIEoG7M3O5mr8iLlrk1Zt4dMxDtcT5DnoiIRoZhrlDvBiwi3ep1qrebXd1Mdpsd5qrGzO0tXQF2tRMRTSSGuUL2nuyiqBRCdzkuL2mYCHXEAIxTN7vdMo+GII2E4/KKClzweXUAvV9CiIho/DHMFZKplrmqnd/aOmKwR57HI8y1dO+BhOxsc1yeEALlxTwKlYhoojHMFbK7q1XPZBewjj9VTfjLAGF9BJRNgkt1tffd7IaIiMYXw1yh9BpzRePl9k5qQb8HbpeupMy+hKZDFJUCUDdubrfM2c1ORDRxGOYKpZelKW6Z29ukjgfVM9p7t3RlmBMRTRSGuSLSSEJGQwAUdrPby9KC6sfLbXZd1XWzp1rmEa41JyKaKAxzRWS0DUhNV9P85UrKTLfMi8exZe4fn5Z5d8xAV4xrzYmIJgLDXJHelq1I73nulN1VXTEB3ezq1pr31pXj5kREE4Nhrog9Xi6KSpSsMTdNifbUGvPxHDNXvdbc73PD47Y+Vhw3JyKaGCMK82g0invuuQdXX301Fi9ejJtvvhnPPPPMqJ5ISolbb70VCxcuxJe+9KUxVTaXqZ7JHuqMwTCtbvtx7WYPqF9rnl6exjAnIpoQIwrzdevW4YknnsCdd96Jhx56CPX19Vi3bh22b98+4if6yU9+giNHjoy5ornOtFvmATXj5X1btePaMi9Sv9acG8cQEU2sjGG+fft27NixA/fccw9uueUWXHHFFfjyl7+MpUuX4t577x3RkzQ1NeG///u/8fnPf95xhXOVVNwyt1u1gUI3vG71a8xt47HWvHdGO8OciGgiZAzzrVu3IhAIYNWqVenbhBBYs2YNjhw5gkOHDmV8kn/7t3/DpZdeihtuuMFZbXNYumWuaCa7fVraeHax28ZvrTkPWyEimggZZ2odPHgQ9fX10LT+ub9w4UIAQENDA+rr64d8/K9//Wvs2rULTz75pMOq9icEEBzH9dejIU0THVFrvDlQMw0FCurV0W1NRqutKEIw6IMrtQPceLxmo6wGXY0H4OppV1L+zNpiAEBbJJYz7xGAcb2GUwWvoXO8hs5NxWsoxPA/z9gyD4VCCAaDA263bwuFQkM+tq2tDV/60pdw1113oba2NtNT5S0j2g6YBgBAV3TIytl2q1VbOQ7nmJ9LD1p1TqaPcHXGPhSmszuBrh7nM+SJiGh4I1pDJYb5SjDcz770pS+hrq4OH/rQh0ZfswykBMI50o2bPHMy/ecoiiAU1OtMWxcAwO91IRzuTn8DHY/XnHBbX8wSoWYl5RfovZ+Jt06EUFfld1ymCuN5DacKXkPneA2dm4rXsLzcP2zrPGOYl5SUDNr6DofDADBoqx0AnnvuOTz55JN49NFH0dnZ2e9n8XgckUgEhYWFcLmcr8nONnusWRQEIFxe5+VJibYJ2MrVdu5ac6G7HZUXKPLApWtIGiZaIj05E+ZERJNVxm72+vp6HD58GKZp9ru9oaEBALBgwYJBH3fw4EGYpom1a9di+fLl6f8A4Ec/+hGWL1+OHTt2OK1/TuhdlqZmJnskGkciaV3v8VyWZlO91lwTIl1vrjUnIhp/GZvFq1evxs9+9jNs27YN119/ffr2LVu2YM6cOUNOfnvnO9+JRYsWDbj91ltvxQ033IAPfvCD6Ul0+U52pE5LUzyTHZiY2ezptebShNnRAi1Y7bjMimABmtq6GOZERBMgY5ivXLkSK1aswN13341QKIS6ujps2bIFe/bswebNm9P3W7t2LXbv3o0DBw4AAGpqalBTUzNomdXV1VixYoWil5B99vpsZaelpQKw0OtCYcH4D0PYa81lZ6vyc825PI2IaPxlTAohBDZv3owNGzZg48aNiEQiqK+vx6ZNm3DddddNRB1zXu+GMYpPS5uALnabFqiA0dmqbK15Bc81JyKaMCNq9vn9fqxfvx7r168f8j6PPfbYiJ7QbrlPFlJKmKlxZk1Ry7wlPflt4sJcBCqAxgPqtnTlLnBERBOGp6Y5JHs6ACMOABCKt3KdiPFym70NrdmhZq25/UWkoyuBWNxQUiYREQ2OYe5Q325pTdEhK9nqZgd6j3J1qu8XEbbOiYjGF8PcofSEMY8PwlPouDwpZfa62WGvNU86Lq/E74WuWTsccNyciGh8McwdSi9LUzReHu1JprulJ7Rlnp68JyGjCtaaawJlxdYGOmyZExGNL4a5Q3bLXPXRp8DEjpmLojIAVkta1SQ4e/c6Lk8jIhpfDHOHzA7FR5+mwtzr1uH3OdtWdTSE7kqfa6563JwbxxARjS+GuUPSbpkrm/xmtWLLgwXDHmIzHuyudnUtc4Y5EdFEYJg71NsyV7vGfCK72G32JDhlu8Bx4xgiognBMHdAxqJAwmpJq5oAZ7diJ3Imu81umduT+pyyX0M4GkciybXmRETjhWHugNlnbFnVmHk21pjbelvmisbMg33XmseUlElERAMxzB1Ijy3rHoiCgJIyW7PYzd67cUwb5DlH3o5FacALTdhrzTmjnYhovDDMHbBnfWuBCiWT1bpjSUR7rA1bstnNDmlAdrU7Lk/XNJQGPAA4CY6IaDwxzB2wW+ZC8TauQJa62fsMFSg7cMVensaNY4iIxg3D3IF0y1zVGvNU4Ll0DcVFHiVljoZweSB8xQAUrjVPbRzDljkR0fhhmDuQbpkrPy2td6x5oon06WmKj0JlmBMRjRuGuQN9x8xVyOZMdpu9+Y1UtNa8gueaExGNO4b5GMlEzDrLHOq72bMx+c3W2zJXu6Vre0cchoIZ8kRENBDDfIz6rTFX3TLPwrI0m90yV73W3JQS7VxrTkQ0LhjmYyTtMWVNhygMKimz777s2dK71rwFUjpvSZenjkEF2NVORDReGOZjZO9fLvzlEML5ZYwnDES6EgB6jw7NhvRkPiMJ2R1xXJ7bpSOYmpnPPdqJiMYHw3yMVC9L69tqzWo3e5/XI1XPaGfLnIhoXDDMx0j1aWn2eLkmBEoCE7/G3CY8PsBbBEDhuDnPNSciGlcM8zEyFZ9jbs9kLyv2Qtey+7Zoqme0s2VORDSuGOZjZHdBK19jnsUudpvqteb2a+KYORHR+GCYj4E0kpBdYQCT4+jTc43XLnBtkR6YUiopk4iIejHMx0BG2wBYoaQpGjPPhQ1jbL0tczXd7BWplnnSkIhE40rKJCKiXgzzMUi3WIWA8JcqKTOXutn7tsylgpZ0394GToIjIlKPYT4G9ni5KCyF0FyOy0saJkId1u5oudEyT/U2JGNALOq4PJ/XhaIC6zpxEhwRkXoM8zEwFa8xb+uIwW7/5sKYuTae55qzZU5EpBzDfAzsMBeKlqW1hqxtXAWAshzoZoe3CHCn9lRXNaM99SWlhS1zIiLlGOZj0Lv7m9rJbyUBL1x69t8SIUT6tUnFp6exZU5EpF72kyMP2V3Pypel5UKrPEWkT09TvKUrw5yISDmG+ShJaaaWpqnb/S2X1pjbelvmijeOifQomSFPRES9GOajJLvCgGkAULgvew6tMbepPte8osR6bbG4gWhPUkmZRERkYZiPUt+WqqrZ7C252M2uehe4Yq41JyIaLwzzUUrPZPf6Idxe5+WZEu2pNeY51c1urzWPd0HGuxyX5/e54XFbHzeuNSciUothPkr2hDBVy9JCnTEYpjWGnEvd7KLfWnPnXe1CCM5oJyIaJwzzUbKXailbltYn2HJijXmK8BUDuhuAwtPT7LXmDHMiIqUY5qOU7mZXvCwtUOiG160rKVMFa615ahKcorXm9oEr7GYnIlKLYT5K6Q1jFHWz59JpaecSqXFzrjUnIsptDPNRkFL2aZkrWpaWgzPZbcrXmgfZMiciGg8M89GIRYGEFUTqNoyx9mWvCPqUlKeSUL3WvNh6jZ3dCcTihpIyiYiIYT4qfUNN3b7subcszWaPmatumQM8cIWISCWG+Sikx45dXutkMaflSZnT3ewiUAkAkD0dkMmY4/KCfg90TQDo7ZEgIiLnGOajkF6WFiiHEMJxeR3ROJKGCSA3J8Bpiteaa0KgrNjaaIeT4IiI1GGYj4LqZWl9u5pzsZtdFJYAwloup2yteZ8DV4iISA2G+SjYY8eq9mS3W6eFXhd8XpeSMlUSmgbhLwOgcK15aqIfW+ZEROowzEdhvJal5WIXu83eo131LnBcnkZEpA7DfBTGa8OYXOxit/WenqamZc792YmI1GOYj5BMxiB7OgBMjQ1jbL3nmqttmYc740gkTSVlEhFNdQzzEeq/xlztmHlOd7OP01pzCaCtg61zIiIVGOYjZC9Lg9CtWd5Oy5MyP7rZ7THzrjCkkXRcXlnAC3tRH7vaiYjUYJiPUO/ktzIIzflli/Yk01ua5nKY9+50JyGjbY7Lc+kaSgJca05EpBLDfITGa1kakJv7stuEvxRIbZBj8sAVIqKcxDAfIeUbxqTC3OvWUVSQe2vMbUJzQRSWAlA3bl7BGe1EREoxzEdI9bK03tPSCpRsDTuetPE615wtcyIiJRjmI2R3MaveyjWXx8tt9mtWvda8hS1zIiIlRtS/G41GsXHjRjz11FOIRCKor6/HHXfcgVWrVg37uJ/+9Kf4+c9/jqNHj6KzsxPl5eW45JJLcPvtt6O+vl7JC5gI0kxCdrUDUHf0aT6sMbeN1y5w7R0xmKaEpuV2zwQRUa4bUct83bp1eOKJJ3DnnXfioYceQn19PdatW4ft27cP+7j29nZceeWVuOeee/DII4/gzjvvxBtvvIFbbrkFx44dU/ICJoKMhgApAajsZs/9Nea23pa52sNWDFMi1On8aFUioqkuY8t8+/bt2LFjBzZt2oTVq1cDAC6//HKcOHEC9957L1auXDnkY2+77bZ+f7/sssuwZMkS3HjjjXjiiSewbt06h9WfGH03jBFFZUrKbM2jbvZ0yzzaDmkaEJruqLy+vREt4R6U5UHvBBFRLsvYMt+6dSsCgUC/LnUhBNasWYMjR47g0KFDo3rC0lJrZrTb7R5lVbPHnsUtfEEIl8dxed2xJKI91gYsedHNbg8tSBOyK+S4PK9HR6DQev85CY6IyLmMLfODBw+ivr4e2jkbpSxcuBAA0NDQkHH82zAMGIaBkydP4itf+QoqKirwnve8Z+y1hrX0OThB67MjyTB6ALhLKpU8Z+hMJP3nOTNKEAxkDnSXy2oNT9Rr7ksWTUc09edCMwJvsM5xmVWlhejoCiMaMybsNWXzGk4WvIbO8Ro6NxWvYaZFTxnDPBQKYfbs2QNuDwaD6Z9ncuWVV6bvN3v2bHzve99DdXV1xsflCiNitcz14kol5Z1tt5aluV0agkVeJWWOJ+HyQCsqgRkNIRlpgYoaV5b6cPhUGGdD3QpKIyKa2kY0m324ddAjWSP96KOPoqenBydOnMCjjz6KW2+9Fd/97ncxf/78kdf0HFIC4fDEBEFPaxMAIOktUfKcxxutlnlZwIuOER42Yn8DnajXPEBRGRANIdp8Gsk653Uo9lnd7KfPdk7Ya8r6NZwEeA2d4zV0bipew/Jy/7Ct84xj5iUlJYO2vsPhMIDeFvpwzjvvPCxduhTvfve78eijj0IIgQ0bNmR8XK6wJ8BNpdPSzmWPm0tVa82D3AWOiEiVjGFeX1+Pw4cPwzT7nz3d0NAAAFiwYMGonrCoqAjz5s3D0aNHR/W4bJFSKt/9rSX1bbI8j8Z7eneBUxPm9paubZEeyNSyPyIiGpuMYb569WpEIhFs27at3+1btmzBnDlzRr35SygUwptvvolZs2aNrqZZIrsjgJEAAAhFG8a05GHLXPla89RrjydNdHQllJRJRDRVZRwzX7lyJVasWIG7774boVAIdXV12LJlC/bs2YPNmzen77d27Vrs3r0bBw4cSN9200034aabbsKcOXPg8/lw9OhRPPbYY+jp6cHtt98+Pq9IMdmnJaquZZ5/Yd67C1wrpDQhhLOdgPu+9tZID4qLnC/5IyKaqjKGuRACmzdvxoYNG7Bx48b0dq6bNm3CddddN+xjlyxZgl/84hc4ffo0YrEYysvLsXz5cmzcuHHU3fPZku5W9vggPIWOy4vFDXR2Wy3RXD769FzpXgkzCdkdgSgscVReYYEbPq+O7piB1nAP5tQWO68kEdEUNaLZ7H6/H+vXr8f69euHvM9jjz024LYvfvGLY69ZjrD3I1e1J3tLn01S8mH3N1vfXgnZ0QI4DHPA2jDn5NkoD1whInKIp6ZlYJ8Upuq0NPvoU5cuEPTnT9eycBdAeP0A1O/RzhntRETOMMwzUD+T3QqusuICaDl+jvm5ROoa8FxzIqLcwjDPwFTdzZ6Hk99s47XWnN3sRETOMMwzUN3Nns9hLhSvNU93s7NlTkTkCMN8GDLeBcS7APQuzXKqNQ83jLHZO+BJRWPm9mz+7lgSXalT5IiIaPQY5sPoO9FLKAvzfG6Z946Zq9i1rfycteZERDQ2DPNhpMPc5YEoCDguL5YwEOmy15jnX5in5w0k45CxTsflFRe64XZZH0HOaCciGjuG+TDs7mQtUDGi0+Ey6RtY9nhxPuk71KCiq10IgbJiexLc1Dn9iIhINYb5MMyOswDU78muawIl/tw/x3wATyHgtsa5Va01ryi2rgO72YmIxo5hPozelnmlkvLSk9+KC6Bp+bXGHLBa0vZ6e6l6rTm72YmIxoxhPoz0GnNFk9/slnk+beN6rt7T01StNbda+myZExGNHcN8CFJKmBErzJXNZI/k70x2W9/T01So4JauRESOMcyHEu8CEla3uKpu9nzeMMZmz2hXfa55pCuBeMJQUiYR0VTDMB9C37BS3c2eT0efnkv5/uzFXGtOROQUw3wI9kx2uAsAb5Hj8uIJA5FoHEB+j5mn15rHuyFjUcfllQQ86QNn2NVORDQ2DPMhKF9j3qfVmc/d7H3nD6jYo13XNJQGrOVpLWyZExGNCcN8CHY3O9eY9ycKAoBuncOu+vQ0tsyJiMaGYT4Eu5td3QEr9jnm3rxcY27ru9Zc1bh5Bc81JyJyhGE+BLvVqX4me/5OfrP1rjVXOwmOLXMiorFhmA9CSpludapaY96SPvo0f8fLbarXmpezZU5E5AjDfBAy1gkkrGBR3c2ez5PfbGKc1pq3d8SQNEwlZRIRTSUM80HIcV1jnv9h3rs/u9pd4KS0Ap2IiEaHYT6IdIvT44NQtMY8bK8xz8OjT89lrzWXPR2QCefhW1bcO7uf4+ZERKPHMB+EVD2Tvd8a80kwAa7fWnPnXe1ul45gkbXcjePmRESjxzAfhKn66NNInzXmAY+SMrNJFAYBTQegbq25PfxwNtStpDwioqmEYT6I8dowpjTgha7l/yUXQutdnqZorXllidVj0cJudiKiUcv/ZBkHfbdyVaElNHkmv9m0VJhLRTPaK+wwZ8uciGjUGObnkFL2tswVrzG3A2sysL/oqNifHQAqS1Ld7GyZExGNGsP8HLKnAzCsmeeqxsztceDKSRTmqteaV6YmBrZ3xJBI8lxzIqLRYJifw57JDvSup3bqbKqb3W59Tgaq15r3/aLDcXMiotFhmJ8j3dL0FkF4Ch2X19WTRGd3AsDkbJnLrhCkkXBcnjU50DqAhjPaiYhGh2F+DlP15LdwbzBNpjDv22uhonWuaaLP8jS2zImIRoNhfo70hjGKlqXZweR16wj43ErKzAWiqBQQVkvaVLTW3P6yw5Y5EdHoMMzPYUasMBfFqie/FUCI/D3H/FxCc0EUlQFQeK45w5yIaEwY5ucw7ZZ5cZWS8s6GJ99Mdpvqtebp5WnsZiciGhWGeR/SNNLbk3JZWmZC9VrzoL0LXDeklErKJCKaChjmfcjONkBaa5w1Zd3s9rK0yRfm6lvm1jXqiRvpFQBERJQZw7wPu4sdQijZl900JVrDvWPmk409FGH2WZvvRN8vPOxqJyIaOYZ5H2akGQAgisogdJfj8kKdMSQNq7t4Mhx9ei6RGoqQ0XbIZNxxeYUFLhQVWNedk+CIiEaOYd6HTIW5sslvfQJpMh2yYut7nVS1ztMHroQZ5kREI8Uw78NMh7na8fISvwcet66kzFwiikqAVA+G/UXIKa41JyIaPYZ5H3brUihumU/GyW+Ada65FkiNmysLcy5PIyIaLYZ5H/aGMXZAOTWZ15jb7M117GvnFFvmRESjxzBPkT2dQLwLgMpu9skf5ukZ7Yq72dsiMSQNU0mZRESTHcM8pe8ELnUT4Kyu4sk4+c1mXytlY+apa2VKibaOmJIyiYgmO4Z5Srpl6SmE8BY5Li+WMBCJWsu1JnfLPNXN3tECaTpvSZcVF9jnt7CrnYhohBjmKenxckWt8pbQ5Dz69FzpyYJmErKr3XF5Ll1DebE9CY5hTkQ0EgzzFDlOy9LcLg1Bv0dJmbnIOio2dRSq4nHzFs5oJyIaEYZ5Svq0NMUHrFQEC6BNoqNPzyVcHutsc4zH8jS2zImIRoJhnpLeypVrzEfN7s2Qipan2VvfMsyJiEaGYQ5AGknIaBsA9Vu5Vk7CPdnPNV7L0xjmREQjwzAHIDtbgNT52arGzJtDk/e0tHPZB66oDvNoTxJdPUklZRIRTWYMc/QJIaFDFJU5L8+U6VZlVVmh4/JyneqWeVVp36NQ2TonIsqEYY7eZWkiUAGhOT8Qpa2jJ330aXXp1OlmR7wLMhZ1XF5RgQuFXusAl6b2LsflERFNdgxzqD8trbndak0KMTnPMT9Xv6NQFbTOhRDp1nlTO1vmRESZMMwBSMXL0uwwLy8ugNs1BS6xtwjwWOGrqqu9OjU80cyWORFRRlMgaTJTvfubHeZVU6CLHbBa0srHzUvYMiciGinXSO4UjUaxceNGPPXUU4hEIqivr8cdd9yBVatWDfu4n/70p3jmmWdw4MABtLa2oqamBtdccw1uv/12lJU5n2imivCXA20noE9bpKQ8e5y3qnTyT36zacVVMFuOKTtwxf4i1MwwJyLKaERhvm7dOuzfvx+f/vSnUVdXh8cffxzr1q3Dgw8+iJUrVw75uK9//etYsWIFPvWpT6G6uhqHDh3CAw88gG3btmHLli0oLi5W9kKc8K1eBxnrhFZYoqQ8O4CmwuQ3W2/LXM3GMXY3eyQaR3csCZ93RB9VIqIpKeNvyO3bt2PHjh3YtGkTVq9eDQC4/PLLceLECdx7773DhvmWLVtQXl6e/vtll12G+vp6rF27Fr/85S+xdu1aBS/BOaG7IBQFuSlleo35VOlmB3p3zhuP5WnN7d2YVRNQUi4R0WSUccx869atCAQC/brUhRBYs2YNjhw5gkOHDg352L5BbrvooosAAGfOnBlLfXNeqCOGRNI6CnRKdbOnJg/KaDtkMu64vIDPnW6NN3OtORHRsDK2zA8ePIj6+npoWv/cX7hwIQCgoaEB9fX1I37CnTt3AgDmz58/mnoOIAQQzMFlX8dbrHXWQgD1M0vhcTtftw4ALpdVTi6+ZgBIarNhRa5EkYzAHZzhuMxpFUU4fCqMcFdCyevO9WuYD3gNneM1dG4qXsNM53VlbJmHQiEEg8EBt9u3hUKhEVcmFArhnnvuwezZs3HjjTeO+HH55EyrNfmtPOhTFuT5QPeXQriso16T7Wp6XWrKrZ6NM63ON6IhIprMRjSrSAzzlWC4n/XV3d2NO+64A+FwGN///vfh8Tg741tKIBzOve7XY6fDAIDKYIHS+tnfQHPxNdtEcTVk2wl0nD6OeNWFjssr9XsBACeaOpS87ny4hrmO19A5XkPnpuI1LC/3D9s6z9gyLykpGbT1HQ5boTVYq/1cPT09+Pu//3vs378fDz/8MM4777yMj8lXTVNwJrtNC1YDAGRETcu8msvTiIhGJGOY19fX4/DhwzBNs9/tDQ0NAIAFCxYM+/hYLIbbb78de/fuxUMPPYRly5Y5qG7ua56Ca8xtWrAGAGCGm5SUZ89oD0fj6Inz9DQioqFkDPPVq1cjEolg27Zt/W7fsmUL5syZM+zkt3g8jttvvx0vvvgiNm/ejMsuu8x5jXOYlHLK7f7Wl90yVxXm1X2+ELF1TkQ0tIxj5itXrsSKFStw9913IxQKoa6uDlu2bMGePXuwefPm9P3Wrl2L3bt348CBA+nbPvnJT+LZZ5/FHXfcgcLCQuzduzf9s7KyMsycOVPtq8myUGcc8fSytKkX5iLVMpddIch4N4TH2TUIFLpR4NHREzfQ3N6NmdVca05ENJiMYS6EwObNm7FhwwZs3LgxvZ3rpk2bcN111w372N///vcAgAceeAAPPPBAv5+tWbMG9957r4Oq556+h4LYe4tPJXbLHADMSBP0itmOyrNPTzve1MmjUImIhjGi2ex+vx/r16/H+vXrh7zPY489NuC2vq30qcCe/FYa8E6pZWk2URCwTk+Ld8MMOw9zwOpqt8Kc3exEREPhqWkK2a3HqTiTHUidnpaeBKdmRjsPXCEiyoxhrlBTmz35berNZLepngRnhzm72YmIhsYwV+hMmxU4NWVTOczVtsztaxnutE5PIyKigRjmipimTE+As7chnYpUrzXv+8XI/rJERET9McwVaQl3I2lIAEDtlA7z1Iz2WBSyp9NxeYFCD/w+NwCGORHRUBjmijSmDljRNYGKYEGWa5M9/ZanKe5qt68xERH1xzBXxG41VpX6oGtT97IKTyGErxiAwq52+/Q0tsyJiAY1dVNHMTtoasuLslyT7FM9Ca62zD4KlWFORDQYhrkidtBM5ZnsNtXL0+yWeVN7F0wplZRJRDSZMMwVaeSytDSRDnO1Y+aJpIm2cI+SMomIJhOGuQJdPUlEonEAU3tZmk0L1gIAzNAZSGlmuHdmlSU+6JoA0PuliYiIejHMFeg7MYstc0ArtcIcRhyys9VxeS5dQ2Xq4BqOmxMRDcQwV+BMWxSAdWSnvSZ6KtOKqwBhHTRjtjcqKdNeu8+WORHRQAxzBRo5+a0fobl6J8GFTispsyY9oz2qpDwiosmEYa4A92QfSCuxx80Vhzlb5kREAzDMFeAa84G00mkAVHazW9c2xANXiIgGYJg7ZJoyffQpW+a97Ja5EToNqWBteN9VAmydExH1xzB3qCXSg6RhLb/isrRedsvcOnClw3F5fl/v5ELOaCci6o9h7tAZHrAyKHutOQCY7YrGzTmjnYhoUAxzh+wu38oSH1w6L6dNuL0Q/nIA6ibB1XJGOxHRoJg+Dp1usc7snlbByW/n6p3RrnYSHFvmRET9McwdOtVitRIZ5gNpJakZ7YrCfFpF7+lp9jwFIiJimDsipcTpVJhPZ5gP0Ls8TU03u/2FyTAlmtu7lZRJRDQZMMwdaO+IoTtmAGCYD8buZpfRNsiE89POyosL4PVY28TaX6KIiIhh7ogdKJoQqOYa8wHSy9OgpqtdCIFpqXHzUwxzIqI0hrkDdqBUl/ngdvFSnksrCEAUBACo62q3e0BOne1UUh4R0WTABHLgNCe/ZaR6Rrt9rdkyJyLqxTB3IB3m3JN9SOkZ7e2nlJQ3vdK61s3t3ZzRTkSUwjAfIyklTqc2L7EDhgbSyqYDAAxVYd5nRjv3aCcisjDMx6jvTHZ2sw9NK6sDAMjIWchEzHF5pQEvfF7OaCci6othPkb2mK2uCZ6WNgw7zAGppKu934z2swxzIiKAYT5mdpBUlXJP9uFoBQEIXxAAYLSdUFKm3RPCljkRkYUpNEbp8XJ2sWdkt87NtpNKypvOGe1ERP0wzMeIy9JGTnWYT+szoz2R5Ix2IiKG+RiYUqZbhdMr/VmuTe7TlbfMrWtuSolGHodKRMQwH4uzoW7E4tZM9hlVDPNMtLIZAADZ0wGzK+y4vBK/B0UFLgDASe4ER0TEMB+LE01WgHjcGqpKfFmuTe7TSqcBQgBQ0zoXQqAu1SNyoplhTkTEMB8DO0DqKv3QNJHl2uQ+4fJAFFcDUNfVPqOaYU5EZGOYj4EdIOxiHzl73NxQFeZVvWEupVRSJhFRvmKYjwHDfPTSM9rb1YT5zCrrNLaOrgTC0biSMomI8hXDfJS6ehJojfQAQHrcljLrXZ52ClI6X042raIQWmocnl3tRDTVMcxHqW9wsGU+cnY3O4w4ZKTZcXlul47acmsbXYY5EU11DPNRsoOjIlgAn9eV5drkD1FcBbgLAABGy3ElZdqT4I43dSgpj4goXzHMR8le18xW+egIoUEvnwkAMFuOKimz7yQ4IqKpjGE+Spz8NnZaKsyNVkUt89R7cKatC/GEoaRMIqJ8xDAfBdOU6dPSZqRmU9PI6RWzAABmyzEly8ns90BKHrpCRFMbw3wUmtq7EE8d7GGP19LIaakwlz0dkNF2x+UFizwoLvIAYFc7EU1tDPNROJ7axrXAo6MiWJDl2uQfrXQaoFmTBs2WY0rK5Lg5ERHDfFSOnokAAGZVB9JrnGnkhOZKrzc3WtWE+cxUD8kxzmgnoimMYT4Kx85YgTG7luPlY9V33FyFOTXFAKzlaYbJs82JaGpimI+QKSWO2mGeChAaPXvc3FAU5rNrrC9W8YSJxtYuJWUSEeUbhvkINbV1oSd1hjlb5mNnt8xltA1mj/Ou8fJgAfw+NwDgaCO72oloamKYj5DdKvd5XTzD3AGtrK73bHMFrXMhRLp1bs9pICKaahjmI2S3+mbXBCA4+W3MhMsLrWQaAIVd7bV2mLNlTkRTE8N8hOxWn90KpLHTKmYDAMyzbykpb3Z6ElwnkgYnwRHR1MMwHwHTlOmlT7NrOfnNKb1qDgDAaD6ipLw5qfckaZjpHfqIiKYShvkINLZGEU9YLT62zJ3Tq+YBSE2CU7ATXInfg2BqJziOmxPRVDSiMI9Go7jnnntw9dVXY/Hixbj55pvxzDPPZHzciy++iH/5l3/BTTfdhAsuuAALFy50XOFssMdiiwpc3PlNAa1sBqBbO8GpaJ33nwTHcXMimnpGFObr1q3DE088gTvvvBMPPfQQ6uvrsW7dOmzfvn3Yx+3cuRO7d+/GrFmzcN555ympcDak15fXFnPymwJCd/WOmzcfVlKmPfzB5WlENBW5Mt1h+/bt2LFjBzZt2oTVq1cDAC6//HKcOHEC9957L1auXDnkY2+//XasW7cOAPClL30J+/btU1TtifVWIye/qaZXzoXZdEjZuLn93pw824lE0oDbpSspl4goH2RsmW/duhWBQACrVq1K3yaEwJo1a3DkyBEcOnRo6MK1/B+STySN9Dauc6dx8psqetVcAIDRchRSwTas9iQ4w5Q41sRDV4hoasnYMj948CDq6+sHBLM9/t3Q0ID6+vrxqd0whACCwfHfvOXNY20wTOvs7YvPq0bQ7x335xyMK9XSnIjXPBGS887HmW0AEj0oSrbCXTnTUXnBoA81ZYU409aFU61duOT8mgH3mWzXMBt4DZ3jNXRuKl7DTCO8GZvOoVAIwWBwwO32baFQaEwVyxcHjlmzrWvKC7MW5JORHqyC5kvtq954UEmZ580qBWB9ASMimkoytswBDDvpK1sTwqQEwuHucX+e1w+3ArBO55qI5xuK/Q00m3VQTVTOBY6/gs5jbyI560rH5c1MnW3+xtF2hEJdAz6bk/EaTjReQ+d4DZ2bitewvNw/bOs8Y8u8pKRk0NZ3OBwGgEFb7ZOFlBKHTlmvs75u8r7ObEmPmyuaBFc/3XqPItE4zoZ7lJRJRJQPMoZ5fX09Dh8+DPOcSUoNDQ0AgAULFoxPzXJAa7gH4WgcADCPk9+UszePMdtPQcadf8OeVlEEn9caSzt8Muy4PCKifJExzFevXo1IJIJt27b1u33Lli2YM2dOVia/TZRDp61A8Hp01FX6s1ybyUevmmfN6pASRtPQqyJGStME5k2zWucHTzHMiWjqyDhmvnLlSqxYsQJ33303QqEQ6urqsGXLFuzZswebN29O32/t2rXYvXs3Dhw4kL6tra0Nu3fvBgAcP34cAPDUU08BAKZPn46LLrpI6YtR7fBJa3353NpiaBo3i1FNeHzQymfCbDkG40wDXDOcfx7qpwex7602HGLLnIimkIxhLoTA5s2bsWHDBmzcuBGRSAT19fXYtGkTrrvuumEfe/DgQdx55539brP/vmbNGtx7770Oqj7+7PHyedM5Xj5e9JoF6TBXYV5qbsOps53ojiXh845ojicRUV4b0W86v9+P9evXY/369UPe57HHHhtw24oVK/q11PNJV08Cx5utzWIWzGCYjxe9ZgES+7bCaD4MaSQgdLej8ubWFts99zhyOoIL5pQpqikRUe7K/y3axknDyTCkBHRNpGdJk3p6TWoCpZGEcfao4/J8XhdmpOY3HDwZclweEVE+YJgPoeF4CIC153eBh12140UrDEILWru1GWfU9OLMn1ECAHgz9R4SEU12DPMhHDhh7fy2YGZJdisyBei1VuvcaFQzbn7eTGsnuCOnw4gnDCVlEhHlMob5ILpjSRw7Yx3WsXBGaZZrM/npNdY+/0bTQSWHriycWQIBIGn0bvpDRDSZMcwHcfBkGKaU0ITAfO78Nu70WivMEe+G2XrMcXl+nxszUlu7vnm83XF5RES5jmE+CLuLfVaNn0ubJoAWqIAorgIAJE/tV1Jm76ErISXlERHlMob5IOzJb+xinziu6ecDAAxVYZ4aN3+rMYKeeFJJmUREuYphfo5oTwJHGq2d3+zWHY0/3Q7zMw2Qybjj8hbMKIEQgGFy3JyIJj+G+TneONoOKQGXLrCQM9knjD5tEQABGAkl+7QXFrgwq9o6L/2NYxw3J6LJjWF+jtePtgEA5teVwOvWs1ybqUMrCECrmAlAXVf7+bOt3d9eP9KmpDwiolzFMO9DSol9qV/8F3Ib0AmnT7O62pOnXldS3kVzrffweHMnQp0xJWUSEeUihnkfTe3daI30AAD39M4CV90FAACz5ShkT6fj8uZND6LAY/Wu7GPrnIgmMYZ5H6+/Zf3CLy7yoK6K55dPNL1mAaB7ACmRPPma4/JcuoZFqUmM+95qdVweEVGuYpj3YYf5BbNLoQmeXz7RhMsDffoiAEDy+CtKyrxoXjkA6701TKmkTCKiXMMwT4knDOw/lgpzdrFnjWvmEgBA8sRrkKbzfdXtuQ/RniQO8xQ1IpqkGOYp+4+1I54wIQSweF5FtqszZdlhjlgURvNhx+VVBH2oLS8EALx04Kzj8oiIchHDPGXvwRYA1pI0v8+d5dpMXZq/HFpZHQDAUNTVvjjV1f7CG01KyiMiyjUMcwCmlHjlkBXmF89nqzzbXDOXAgCSx9SE+cXzKwEARxsjaGrrUlImEVEuYZjD2r87HLW2EF3KMM86PdXVbrafhBlx3jVePz2I4kKrt2X3/jOOyyMiyjUMc/R2sU+rKEJ1aWGWa0N61TwIXzEAIPnWC47L0zSR/pK263V2tRPR5MMwB7D/qLV399J6tspzgdA0uOZcCgBIHHlRSZnLFlhd7W8ea0Mk6vwgFyKiXMIwB3DezBJUl/qwcum0bFeFUlxzlwMAzLNHYHa0OC5v0awy+LwuSAnsPeS8PCKiXMIwB3DLtfX4r09cgcoSX7arQil6zQKIAuvUMxVd7W6XhmULrdb5C282Oy6PiCiXMMwpJwlNh2vOJQDUdbVftdjqedl/tC094ZGIaDJgmFPOcs1JdbU3H1bS1b5sYSWKCqyu9t1cc05EkwjDnHKWPu289Kz2xMEdjstzu3RccVEtAGAnZ7UT0STCMKecJTQdrvlXAgASDc9BSucHpbxt6XQA1t4C3ECGiCYLhjnlNPeCqwAAMtIEo+mQ4/LOn12G0oAXAPD869xAhogmB4Y55TS9bAa0ilkAgGTDnxyXp2kCl59fDQB47rVGmDwWlYgmAYY55Tz3gqsBAInDL0AmY47Lu2aJNau9NRLDvrdaHZdHRJRtDHPKea76ywFNBxLdSB7a5bi86rJCLJpVCgD4w8unHZdHRJRtDHPKeVpBAK65lwEA4q8/rWQinL3b3yuHW9AW6XFcHhFRNjHMKS94LlgFADBbj8NUMBFu2YJKFBe6ISXwp1cbHZdHRJRNDHPKC1rVPGgVswEA8defcVyeS9dwdWpHuN+/fAqJpOG4TCKibGGYU14QQsBz4fUAgOSRF2BG2x2XueqSOuiaQCQax459XKZGRPmLYU55wzX3MuvwFWkg/upTjssrDXjTy9Se2n0CpoKxeCKibGCYU94QLg/ci98JAEi88XuY3RHHZd6wYiYAoKmtC3sP8mhUIspPDHPKK57zrwM8hUAyjsRr/+e4vLpKPxbPKwcA/Ob5o0pmyhMRTTSGOeUV4fHBc+FqANZEOBmLOi7zz6+YDQB4q7EDLzWwdU5E+YdhTnnHc+FqwF0AJLoRe/nXjsurrwtiSap1/vifjnCLVyLKOwxzyjuiwA/PkhsBAIl9W2F2nHVc5ppr5gIATrdEeQALEeUdhjnlJc/iGyCKSgEzidjunzsub2Z1ACtSM9t/8ccj6IknHZdJRDRRGOaUl4TLC+/yvwQAJA/vRPLMQcdl/uU1c+F2aWjviOFXzx11XB4R0URhmFPecs2/Mr0rXOyP34E0Eo7Kqyjx4c+vsI5b3frCCZw62+m0ikREE4JhTnlLCA0F13wUEBrM0GnEFUyGe+eKmagq9cEwJR596gAnwxFRXmCYU17TK2bBs+TPAADxvb+G0XLMUXlul46171gIADh0Kowndzorj4hoIjDMKe95lt0EEawBTAPdz2yGjHc7Ku+COWVYtawOAPDLZ9/C0TPOd5ojIhpPDHPKe8LlgW/V3wOaCzLchJ5nH3W8k9t7r52H2vJCGKbEg1teR2e3s/F4IqLxxDCnSUGvmAXvFe8DACQP7XS81avXreMTf3EB3C4NzaFufGPLPhimqaKqRETKMcxp0nCfvwquuZcBAGI7f4TEkRcclTezOoCP3ngeAOCNY+344daD3LudiHISw5wmDSEECt7+cWjV9QAken7/MJKn33BU5uXn1+BdqeVqv3/5FH6+/QgDnYhyDsOcJhXh8sB3w50QxdWAkUD3bzcieXKfozLXXDMXV15YAwB4cucx/PLZtxjoRJRTGOY06WgFART++T9BFFcBRhzdv/sfJA7vHnt5QuCjN56HS8+rAgD86rmj+N7vDnAMnYhyBsOcJiXNX47Cd/8LtGANYCTR88xmhJ/9CaQcWwDrmobb3n0+rrjA2r99+97T+NpPX0WkK66y2kREY8Iwp0lLKypF4U3/Cr3WmsTW8fzP0fKTe2B2to6pPJeu4eN/fn56DH3fW234wiO78caxdmV1JiIaCyHzdPDPNCVaW6fO3tnBoA8AEA472xBlKpJmErHn/xeJ15+xbnD74L10DdwXXAehucZU5s79Z/DoUwcQixsAgLctrsUt19bD73OrqnZO4ufQOV5D56biNSwv90PTxJA/Z5jnian44VXN07If7U89BLMrDADQgjXwLP9LuGZfAqGNvpOqqa0LDz/xOt5q7AAAFHpduOGyGbj+0hnwecf2JSHX8XPoHK+hc1PxGioJ82g0io0bN+Kpp55CJBJBfX097rjjDqxatSpjBY4fP457770Xu3btgmmauPTSS/HZz34W9fX1o3sl52CYj50QAm63FV6JhDnimdkej4bCQm/6A2UfQjLcBwwAenoS6OlJQtc1uN06pJToHsWOarou4PW6AUh0dyfT9XW7dQghYBgmDGPwsXBd1+DzuSGEgK4LJKMRtGz7IRJv/gFIlSOC1fBcdAPc81ZAeItGXC/AugbWkrXD6Em10v0+N65ZOg3XLK5FVWnhiMsSwnpNqb8BAAzDhGma6dsHe790XYOua5BSpt5XgWTShMtl3RaPG0Nen5HWJ5k0YZoSwaAPQgBdXQlomoBpSiSTxpAH0rjdevrzIaVMl2PV235frecyTSAWS6R/br+/fcsXAvB4XNB1DYZhIhbrf+583zonEmb677quIZk0EE+9R+fW0aqn9ZFIJKz7eb2DP89g9eqroMAFTRv6+TL9W/Z6Xel/J7GYgWRyYBmZaJqAy2X/GzeQrSaby6VB0zSYpolkcuBncLBrmen6AsNfw77vuWlKGMbgz51vlIT5Rz/6Uezfvx+f/vSnUVdXh8cffxxPPPEEHnzwQaxcuXLIx7W2tuKmm25CeXk5/uEf/gG6ruMb3/gGjh8/ji1btqCmpmZsrwoM87EQApCadV738681AgCuWDwNpX4PMMwve00TSAqBcDSOgM+DcGcMLl3DrtcbMX9GKSpLfHh+XyO6YglcsrAahQUuvHSgGRfNq0BliQ+aAEwARxsj2NtwFkG/F29bMg1elwaZ4XkNoeHU2U68sL8JPq8Lb7t4OooKXEgkTezc14jWSA8unFuOedOCcAmkQ0vXrTonkxI7XmtEa7gbi2aXYeGsMng1iZ6mY4jt/hmM46/0PqHugmvmUrjmXAq97gJoBYERX9vO7jh+u/sEnn7hBBJ9fnHU1wWxbH4lli2sRFWJb+gCNA0dPQmcao5iepUfrxw8i5ZUnedND2LPG004G+rB5RfWoDxYAM00rcCQwJvH2+F16ygL+nCiKYL5dSV4/a02HDsTwfRKP5bMr4TPo0OTcuShrmvo7EniuVdOI5YwsOKCGtSUF0JKYO/Bs3jrVATTKotw/pxyJBIGSou90KXs/eWraehOGNjxaiM6u+O4aF4FSgJeQAJlxV5ACHR1J+By6Yj2JLDj1dNIGiauXDwNlUEfEkkDz756GuFoHMsWVGJGdQBuXUNPwsSxMxG8evAsAkUeXLV4Gnwe3fr8ahoi3Qk89+ppGIbE5RfVoLjQi217TsAwTKy4sBalAS90SMCUEJqAIQS6epJwuzQca4xg35FWlAS8uGrxNLSFe7DjtUbMqPbjkvOq4dYEuuMGnnvtNDqicVy8oAozqv3p1627dMRNidcOt+DwyTBqKwpx2fm18GiA2ee6D/VvWdM1JCSw580mnGruxIyaYpw/pwyFXheEaUKO4AQ/IQBT09AS7sHOfWfg1jVctbgWgUL3sP/GVdN0AQMCrx1uxeFTYdRV+rHsvCq4AZim9V51xQ0898opdMeTuHRRDWorChGLm9jx6ml0dMWxbGEV6qr8/T9XKUP+PtQ0dCcNGIbEvsMtaGzpwuxpxVhSXwGX6P8+5BvHYb59+3bcdttt2LRpE1avXg3A+ob9gQ98AKFQCL/97W+HfOx9992H73//+9i6dSuqq61ZwO3t7Vi1ahXe/e5349///d/H8poAMMzHxKXj6z/ei70Hz/a7ednCKvzDLUsgB2kBCF3gZEsXWkLdqCwtRLQ7gedfa8QfXjqJdbcsQcPxEP5vV/+Txeqq/Fh3y1L816O7sWxhFW65fgHWP7QDLaGefvdb+2fn4bpLZgz+vML6RfuFb+3Eyeb+7/O7rpqD2bXFeOBnvUFcEvDiS393JfyeVKtMAi++2YSHH38NfX8PBP0e/McnrkRpoRuJhAGj7RTirz6F5OFdgNF3ZrqAVjkbenU99Mo50CvnQhRXDd0d79Jx32Mv4s1hJsNVBAswvy6I+roSzK4JoLa8EAUeF4RLx3d+sx/BIi+qywvxyK/29atzcZEH/7T2Unz7V/vw1ukIzp9dhn+69VKEOmL41wd34KPvvgAHjrUj1BnDO1bMxH3fexHxPl8ovG4dn/rgMsyoCqDQrWX8hSZcOh773ZvY9sKJ9G2XnFeFG6+cg/seexGxRO/75XZpuOv9y/BKQzP+8rr58AjAFAK/+tMRbPnjkX7lTq/04x/+ailMU+KPL5/Emmvr8Z0n9mPnvsZ+91swsxR3/vVS/L+v/THd2zF/Rgk+/aFL8O/f3InTLdF+93/Pynm46W1z8c1f7sOO1/qXtXBWKdb+2SL8xyO7EIsbuPzCWvzV9QtQ6vfg8KkwAkUe6JrAf39/D5rauvo9ds3b56E0UIBHnngdHpeGz966HP+36xh2vX4mfZ/qskL8xyeuQIFbR2NrF774yC5E+/Q6aZrA//vAMpw/qzT9xXWwf8uaS0PDyQjue+wFJI3eN9/ndeEzH7oEXreOaWWFkJmWQw7xObx68TR87C8uGPTfmmqaLtAcjuHfvrkT3X16NFy6wL98+DLMnVaMn247iCd3HE3/7LY1F+FMSxS/+lP/z0xteRG+eNvlcAv0C/RBfx+6dGzdfRwzqgPY+L8v9ftS7XXr+MLHL0dtmS9vAz1TmGccKNy6dSsCgUC/LnUhBNasWYMjR47g0KFDQz726aefxpVXXpkOcgAoLS3Ftddei61bt470NZACukvDr599a0CQA8BLB5rx5PNH091yfRkQ+NqP9mLR7HI8/odDaGrrwh9eOom504OQEgOCHABONnfif//vAG66Zh6WzK/Evd99YUCQA8Bjv30Tze3dg39AdYGv/3TvgCAHgN889xY0TWB2bXH6tlBHDF/89i4kJGAKoKMrgQd/0T/IASDcGcd/fHsXYqlfmHrZdPje/jH4134NBW//W+gzFgO61aVvnn0LiX1b0fP7hxH9yT+j85HbEP3J59D11P+gZ8cPEdv7JBINz8I4tQ+/eWI7mk6cgE/EoKH/Lwt7/Lwl3IPnX2/CY787gP949EXcvuGP+Mw3duDzDz+P5145jWhPAt/65b4BdY5E49jww5fwgRusWfn7j7ahJdSNf/vm86gqK4RpSmzdfQw3v70eXz4nyAEgljDw1e/vQSQaRzJD487l0rDnQHO/IAeA9143f0CQA0AiaWLDD1/C2y+Zga98fw9MIXDkdGRAkAPAqbOd+P5v34Bhmrjsgho8u/fUgCAHgIbj7fjFHw7hPSvnpW9729LpuP/HewcEOQBs2X4Ybx5vx8mzAz8rB4614/d7TmDV8pkAgJ37GvHygWb0JAy8+GYTemJJfOMXrw4IcgB4/A+HUVniQ3VZIeJJE//16At4z8p5EH0+rk1tXfjKD15CT8LAl767u1+QA1YAffUHe9CdGD5AYkmJe7/XP8gBoDuWxFd+sAemBGIZQkjTNfzv/x0Y9Avls6+exrOvnobLpQ/ySLUMiAFBDgBJQ+I/v7sbXbEkftfnaOG6Kj/8PveAIAeAxtYovvq/L8HA8EN5ukvH07uPY3F9BTb8sH+QA9a/gS98a2fGz38+y9gy/+u//msIIfCjH/2o3+2vvPIK/uqv/gobN27EjTfeOOBxPT09WLp0KW677TZ86lOf6vezhx9+GF/96lexY8cOlJeXj6nibJmPjiEEPrlh+4B/YLaiAhf+51MrofdJErdbx/ZXGyFNCa9HR4HHhe8/9Qaa27vxtzddiGdePIEjp8JDPue9d1yFnriBL3xz55D3uXRRNf7hvYthnBsSEPjEvc8M+bh5dUFce8kMfOuX/Xd3++9/eBtKA1784Hdv4vd7Tg75+C/9/VWYXuqzuvzOIZNxGGcaYJzaD+PsWzDOHgUSo7vucakjJt2ISRekpqMkWIRYAuhKSHTFJWKGgCE1JKHBhICEACSQGhmGBKzbUv8vYa11N0wJCQGPW0dP3EBBgQvxhAkhrNvODZO+ios88Lh1uHTruYb6/dgS6u4XKh63Dp/XhXBnbNiyY3Gru70tEkM8MXQLsKrUB03TcLa9C8YQXcdCANWlhTiTCtmqUh+a24d+DzxuHYUFLoQ6BtZRCKCixIezqccX+dzQNYGCVC/OcOUWeHR4PTrCnVavTdDvRU88mV7FYKspL8SZ1oFfCGyBQo/V1Q0MmHMihEBHVwKR6NB7FpQWeyGlNcnS/pScS0KgsTU61I+hawJVZYWpT9N4EehJGGgLD/zybisuciOeNNETs65h0O9BdyyJ+DBfeGrKC9H3O7+W6iGz//1KCIQ6euB264h0Dn8dfZ6hr6FqeuUcXLD6JiVlZWqZZ5xyGwqFMHv27AG3B4PB9M8HEw6HIaVM36+vkpKS9GPHGuZC9AbcVGB/ox7ra24J9wwZ5AAQ7UlCyv7la5rAkZNhXLG4Fq8easHyRdXpX3wVJT40DtJK6sswJFqH+UcNAKfPdsKQA1/X0TMdGR4XRXmwYMDtTe1d8Be6cfrs8HU71dyBRbNKhpgY5APKlwMXLAcASGkiGWpCsu00ku1nkAw1wQg1wegKw4yGYUTDgOz/y90jDHiEgfSoeyQMNwA/YPWHqdjhwX759mo42ee2wRip/zKY5+5Tpi05grJ1AFFgnp7681BS2TnPk6EiXcA8+zm7gfnDPT8AJIapYzewwP6ZTNU3VY+M5fZ97UlY7925j4n2qetgTACZ2h7DPd7OpwzzRud6MzzHRLV/Mn1WBPpf00yfmeH/OVsEMn9O4+i9lhOhcy/M+CqUVlY6LkoM3zmROcytQoYZdM/wDJl+ThPD7dLg9egDWhQ2n9cFl94/YaQEZtYE0BLqRm15ISJdcZQVF6At0oNQRwyVpT4cHyZ0XbqGsuLhf1NWlxXC4x6YbEUZ1mtXlxUO2gqrKi2E26WjqsyHA8eHHr+urSga8QxfITS4S2vhLq0d9OftHT2468tPwiPjKBBxFIgkvCKR+i8Jv0fgvdfORYEuIY0kpGkAqf+Px2J49uWTqC7zwTBNNJ6Nom+b3Poibv19RpUfZ9qi0GBNImtu60JFsACRaAy6ZrXMh2vd+Qvd8LhSLfMhmBJoj/T0azG7XRq8bn3YM92LfG4kkib8PjciXfFhZw+XBrwQQiDUEYM5xJsgAJQUe9Eesd7jkoB30Pfb5tI1FHh1dHYNrKMQQLDIi1CqZ6HAq0MTAu7UF+ThehzcLq1fj0dRgfU64+eMPZcGvGgfpn4+rwtFPrf1vtqXX9r/IxDtSaC7Z+gv20WFbkACPu/QiWdKDNsiFgIoLS5AhsUnjsUSBjqiQ39WfAUuGIaZbokX+dyIxZMDhhj6Ki32Qu9X8X4XEaYEOrvicOkauoa5jv5Cd7pHZiJolXNwuYIgH4mMYV5SUjJo6zsctrpXB2t527cLIQZ9rH2b3UIfCymn1hpDp93smkvD9ctn4jfPvTXoz9+xYhb0Qcq/ask03P2N5/Dvt12B7zzxOm68aja+/9s38cyLJ/DOy2fj4S2vDVre+XPK0HCiHaWBAtSWF1ndf4O4+dp6GPEkwucEhUfXcd7sUrx5dPBAfucVs/HMC8f73VYeLEBZwAtNSPzF2+bhT3tPD/rYkoAXtRVFyj4/uq7h4ovm4I9DPN+Hrj0PvsV1MM4JOAGgyK3BVXQKD287hM+svRRfe/j5QcsoLvLgH6+7GI9+excA4KsfuQYPPvw8prv8ePu1dfjWr/bhP//+KnzuG88NupzHpQvc85GrUJGaCT8Ul1vDn149g+/0Gb4QAviv26/Gvz743KC/cDVN4EsfvhLf3LIP//rR5XjzWDvu+/6eQctfMLMUH/oza+z/9KEW/OSZg4Pe721Lp2HOtCC+96R16t1t77gIz794AgdPhAa9/13vvxi/+uMRHD47cNjnbUuno6y4AL/842EAwPuvXIirlk7D754/hkvPr8Yvf7kPx5sG/1L6qfcvw4+fbsCpaGf6dd794I5+13h2bTE+95Hl+MeN24cMkk1/fy0KXVYADfZvOSaB2+/bNugXTK9Hx/r3rkBpoAAFw/ToCF3Dd36zf+jP4Z+dh6WXDPwcqmZqGm6/b9uAuRsAoAngf/7u7fjU//wRydQcgNnFxXj3dXNx/0/2DlrevOlBfO7DyyH6fG7PvYa6S8OvnjuKSxdVD3h/bC5d4BufvA76BK/TU/V7przcP2zrPGNnX319PQ4fPjxgbLGhoQEAsGDBgkEfV1BQgBkzZqTvd+5jy8rKxtzFTqNnJk385dvrMX9GyYCfLZxVipuumQtjkJmuLkh87C8uxNHGCN6xYhbmTAvi0kVVaDjejmK/tTToXJWlPtx64/nYsv0wdr1+Bp/76GUoLhrYp3rTNXMxvcIPY7CAkCbuev8yVA6ynOuaZdPh97n7/WIvKnBh/d+sgFtIaFKiJODBh9553oDH+rwufP5vVkDpl3PTxIffdT5m1gxcyrZkfgVWXTpjyF+gyYSJt19ch/kzS/D64VZ84IaFg9bZDhXACo/yYi++8PEVOHYmgmK/B1dcWIvf7ngL/+8DywaMq+mawCf/+mIUel1wieF/kSUTJq64qBaXnd+7bFRK4Fd/Oox/fN+yc1pHVpCvu2UJ/vTyKXzmQ5dAkxLnzSrFdctnDCi7oqQAH/3z81Hg0fGHPSdw/WUzsbi+YsD9ZlYH8P53nIefb+sN+mdeOI673r8MFSUDe3quWz4Di+srBt19b1ZNADdeORtbd1sTrhbPr8BlF9Sg0KNj/owS+H0u3HHLEmvZ3DnesWImYgkDp85aQX7X+y7GU88f7RcUpQEvPrv2Uvg8Lnz21uXwugd+sP7+LxejaJgWNQAUuDTc+dcXD/hl7XZpuOt9yxBLGChwZWhSD/M5XDq/EqsuGfpzqJILEp//2IoBPX2aAO56/zIECt24cnFvL9fRxgg0IXDdJQM/M2XFBfjMhy6xlhMOw0iaeNdVc/DKwbO4471LBv038LmPXAb3JO4pzjgB7g9/+AM+8YlP4IEHHsD111+fvv2DH/wgWltb8dRTTw352C9/+cv4wQ9+gGeeeQaVqa6GUCiEVatW4V3vehe++MUvjrninAA3evYa1MbWLvx+zwkICFx7aR1qSguhSXPIbmehaUhIiUhXHIECD8JdMZgmsP2lk7hkURWKi7z4/Z4T6O5J4rILalBV6sOOVxtx4bxy1FUFoGvWpK19h1vx8oFmFBd5sHrFLPgLXMOufdV1gSQ0HDjejl2vn0GhV8eq5TNRGihATyyJZ148jtZwDxbXV2DJ/Eq4+60z15AE0B0z8PQLx9EW6cGi2WVYfn41vJpAYpgJWmOhpdYsn2jqxPaXT8Lt0rDq0pmoKLFawpkaA1LX0BruQVNbF2or/Hj+tdNoCXXj/DnlWLqgEjteO43jZzrw9mV1qKvyQ0utk05I4KU3z6A8WIginxsnz3Zi0awy7Hr9jLXOvMqPKy+qRaHXDR1yxMtypKahvTOGrbuOI54wcPXS6Zg7vRiGIfHsK6dx5HQY0yv8uOyCGnTHEtbwRp/rb6/53rr7OKLdCSxdUIm6Kj964klML/fDFEC4owdFPg/Ohrqx/aWTSBomrrm4DjOrA+iOJfC7XccQ6Yzj0kXVOH92GdweDd0xA2+81YaXG86iqMCFd6yYheJCN4RpwhTW+uqnXziOpGHi7cvqUFlaiN88dwTxhImrl05HbVkhXFpqhxpNICkFYgkDLl3g9cOteO1wC4qLPLj+slmIRGN4+oXjmF7hx8pldfC4NESicTz9wnFEonEsP78Gi2aVpvc3EC4d8aSJ5/c14sipMKrLCnHdpTPgc2swk0O3Km1C1xAzJLbvOYlTLZ2YVVOM5edXo9CrW62uEawzd/o5VEXoGpKmxPP7GnHoZBh1VX5cc/F0eDQBmBJS0xCOxrH1hePo7kniyotqMa+uBJ1dcWzdfRwdXXFcdkENzptVChcwYH+Ewa6h/futsysBUwK7Xm/E6ZYo5kwL4qrFtXBrgBymKz/XOV5nLqXEhz/8YRw4cACf+cxnUFdXhy1btmDLli3YvHkzrrvuOgDA2rVrsXv3bhw4cCD92JaWFtx0002oqqrCHXfcAZfLhW984xs4evQoHn/8cUybNrBVN1IM87Gzdoeyd/YaepelcxUUuOEtcEHXBAxTQhMCUgJCs+ZGmGbvWC8grE1qJBCPG+jpSfTbDay7Oz7iXyz2Dl1CCPT0xNMteY/HGiUaancpwJo46PO5ISXgdguY5vgOz+i6gO7SgXN2OxuJ9K5dQsDOG5na6MW+PZkY+H7Z10bTkNoJznqcPV8lkTDG9OUlvVOgEDCS1i571g5wAt3d8dSuauaQ19/erc3+symRLgew3huPx/pMSCkhpbUDnGHI1C5eA99fTROpx1i72/X0JPp9jvpew2TCsMrxuKCldgqMx5MDPnder6vfTmX2jm8FBdbOgX13LLRfk5SDf+6EAHw+T6reVv3Olenfss/nhq7rACTi8eSgu8hl4uRzqJL92bReS//XIYT1Xkr0fi4yXV/bcNfQ/v3mcmmpHRSl8i/v2aBkB7jOzk5s2LABv/vd7/pt59q3pT5YmAPA0aNH8eUvfxm7du2ClBKXXHIJPvvZz2L+/PkOXhbDnEaP19A5XkPneA2dm4rXkAetTBJT8cOrGq+hc7yGzvEaOjcVr6HjHeCIiIgotzHMiYiI8hzDnIiIKM8xzImIiPIcw5yIiCjPMcyJiIjyHMOciIgozzHMiYiI8hzDnIiIKM8xzImIiPIcw5yIiCjP5e3e7PYpS1OFfQzvVHrNqvEaOsdr6ByvoXNT8RoKgfRJiIP+PF/DnIiIiCzsZiciIspzDHMiIqI8xzAnIiLKcwxzIiKiPMcwJyIiynMMcyIiojzHMCciIspzDHMiIqI8xzAnIiLKcwxzIiKiPMcwJyIiynMMcyIiojzHMCciIspzDPMcF41Gcc899+Dqq6/G4sWLcfPNN+OZZ57JdrXyxvPPP49//ud/xg033IAlS5bgmmuuwbp163DgwIFsVy2v3X///Vi4cCFuuummbFclr+zatQt/8zd/g0svvRRLlizBjTfeiB//+MfZrlbe2L9/P26//XZcffXVWLp0KW688UY8/PDDiMfj2a5a1rmyXQEa3rp167B//358+tOfRl1dHR5//HGsW7cODz74IFauXJnt6uW8//3f/0UoFMJHPvIRzJs3Dy0tLfjWt76F9773vXjsscewdOnSbFcx7xw8eBDf/OY3UVFRke2q5JXHH38cd999N2655RZ85CMfgdvtxpEjR5BIJLJdtbxw+PBhvO9978OcOXPwuc99DqWlpdi5cyc2btyIQ4cO4b777st2FbOK55nnsO3bt+O2227Dpk2bsHr1agCAlBIf+MAHEAqF8Nvf/jbLNcx9ra2tKC8v73dbJBLBqlWrcPnll+P+++/PUs3yk2maeN/73oeLLroIDQ0NiEQi+OUvf5ntauW8xsZGvPOd78S6devwt3/7t9muTl66//77sWnTJmzduhUzZ85M3/6Zz3wGTz75JPbu3Qu3253FGmYXu9lz2NatWxEIBLBq1ar0bUIIrFmzBkeOHMGhQ4eyWLv8cG6QA0BxcTFmzZqFM2fOZKFG+e273/0uzpw5g7vuuivbVckrP/vZzwAAa9euzXJN8pfLZXUk+/3+frcHAgG4XC7oup6NauUMhnkOO3jwIOrr66Fp/d+mhQsXAgAaGhqyUa2819bWhoMHD2L+/PnZrkpeOXHiBL7+9a9j/fr1A36h0vBeeOEFzJs3D//3f/+HG264AYsWLcI111yDr3zlKxzvHaGbbroJJSUl+MIXvoATJ06gs7MTTz/9NB5//HF89KMfHfB7cqrhmHkOC4VCmD179oDbg8Fg+uc0OlJKfP7zn4dpmvjYxz6W7erkDSkl/vVf/xVXX301rr/++mxXJ+80NzejubkZ99xzD+68807U19dj586dePjhh9HY2IivfvWr2a5izps2bRp+/OMf44477uj3Gfy7v/s7/OM//mP2KpYjGOY5Tggxpp/R4O677z48/fTT+K//+i/Mmzcv29XJGz/5yU+wb98+PPnkk9muSl6SUiIajWLDhg1417veBQBYsWIFenp68Mgjj+CTn/wkZs2aleVa5rZTp07h7/7u71BZWYkHHngAgUAAL7zwAh566CEIIaZ8oDPMc1hJScmgre9wOAygt4VOI7Nx40Y88sgjuPvuu3HzzTdnuzp5o62tDf/93/+NT3ziE/D5fIhEIgCAZDIJ0zQRiUTg9Xrh9XqzXNPcVVJSAgC4+uqr+91+zTXX4JFHHsHrr7/OMM/gq1/9KqLRKLZs2YKCggIA1hciAHjggQfw3ve+F3V1ddmsYlZN7UGGHFdfX4/Dhw/DNM1+t9tj5QsWLMhGtfLS1772NTz44IP4zGc+g1tvvTXb1ckrTU1N6OjowFe/+lUsX748/d9LL72EhoYGLF++nKsCMsj0b3Wqj/eOxP79+1FfX58OctuFF14I0zRx5MiRLNUsN7BlnsNWr16Nn/3sZ9i2bVu/MaItW7Zgzpw5qK+vz2Lt8semTZuwefNm3Hnnnfj4xz+e7erknZkzZ+J73/vegNv/8z//E11dXbjnnnswbdq0LNQsf6xevRo/+clPsH37dvzFX/xF+vbt27dDCIGLLrooi7XLD1VVVTh48CC6u7vh8/nSt7/88ssAgOrq6mxVLScwzHPYypUrsWLFCtx9990IhUKoq6vDli1bsGfPHmzevDnb1csLjzzyCO6//35ce+21uPLKK7F37970zzweD84///zsVS5PFBUVpbsz+youLgaAQX9G/V1zzTW45ppr8MUvfhHt7e2YP38+du7cie9973t43/veh+nTp2e7ijnv1ltvxR133IGPfexj+PCHP4xAIIBdu3bh29/+Nq688sr0Kp+pipvG5LjOzk5s2LABv/vd7xCJRFBfXz9gNicNbe3atdi9e/egP5s+fTq2bds2wTWaPNauXctNY0ahq6sL999/P37961+jvb0dtbW1uOWWW/Dxj3+c3ewjtGPHDjz88MNoaGhAV1cXpk+fjhtvvBEf/ehHUVhYmO3qZRXDnIiIKM/x6yAREVGeY5gTERHlOYY5ERFRnmOYExER5TmGORERUZ5jmBMREeU5hjkREVGeY5gTERHluf8PZWMVjFI/MRcAAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 23.403336833443856\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "f554246b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parameters update\n",
+ "\n",
+ "means = [np.sum(p_Ck_x[k] * data1D) / np.sum(p_Ck_x[k]) for k in range(2)]\n",
+ "stds = [\n",
+ " np.sqrt(np.sum(p_Ck_x[k] * (data1D - means[k]) ** 2) / np.sum(p_Ck_x[k]))\n",
+ " for k in range(2)\n",
+ "]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "0a3549db",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 40.54875472662691\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "2e683d8d",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parameters update\n",
+ "\n",
+ "means = [np.sum(p_Ck_x[k] * data1D) / np.sum(p_Ck_x[k]) for k in range(2)]\n",
+ "stds = [\n",
+ " np.sqrt(np.sum(p_Ck_x[k] * (data1D - means[k]) ** 2) / np.sum(p_Ck_x[k]))\n",
+ " for k in range(2)\n",
+ "]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "e6914262",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 75.62518759531767\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "7c983975",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parameters update\n",
+ "\n",
+ "means = [np.sum(p_Ck_x[k] * data1D) / np.sum(p_Ck_x[k]) for k in range(2)]\n",
+ "stds = [\n",
+ " np.sqrt(np.sum(p_Ck_x[k] * (data1D - means[k]) ** 2) / np.sum(p_Ck_x[k]))\n",
+ " for k in range(2)\n",
+ "]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "391e5c32",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 106.90526584779028\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "4d1af9dc",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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TfNSBddmlUJvsss+ciChtGOYUH39feKgFYwBApwfA0exEROnAMKe4aH3hoaalIWCEO2vmREQpxzCn+Pia2UNNSwMQsGgM+8yJiFKNYU7x0ZrZw+yiK3NqGhFRujDMKS5aM3u4mjmnphERpQ3DnOLjb2YP12euY585EVG6MMwpPmxmJyIaMRjmFB//wLYwNXPuZ05ElD4Mc4pLpD5z7mdORJQ+DHOKj6/GHXZqGueZExGlDcOc4hOwnGtIXAGOiChtGOYUl4grwHE0OxFR2jDMKT7aCnCRRrOzz5yIKNUY5hSfSBut+MNceCCEmp4yERGNUgxzik+k0eyBze8c0U5ElFIMc4qLf2BbuBXgggbGcRAcEVFKMcwpPhFHsw/U2Lk+OxFRajHMKT4RVoALGhjHZnYiopRimFNcot01DQCb2YmIUoxhTvHRVoAL12ceEPJsZiciSimGOcVH6zMPUzMPaH4XnGtORJRSDHOKS8QV4FgzJyJKG4Y5xSfSCnCcZ05ElDYMc4pPtCvAgVPTiIhSjWFO8YnQzA4p4KXF0exERCnFMKe4iAgD4CRJGqids2ZORJRSDHOKT6SpacBArZ2j2YmIUophTvGJtGhMwHXsMyciSi2GOcVFRFjOFQiotXM0OxFRSjHMKT7RNLP7a+2smRMRpRTDnOITRc3cf53gaHYiopRimFPMhBBR9ZmzmZ2IKD0Y5hQ7ERDOw45mZzM7EVE6MMwpdgFTzaRhR7P7m9lZMyciSiWGOcUusKY9XJ85B8AREaUFw5xiJtTomtklrgBHRJQWDHOKXcDo9GGb2XUcAEdElA4Mc4pdjM3snJpGRJRaDHOKWdDyrFFNTWOYExGlEsOcYqcGjmaPYgAcR7MTEaXUMO/EXrt27cKrr76K/fv3o7GxEVarFbNmzcJ3vvMdTJ06NeID1NfX4yc/+Qn27NkDVVUxf/583H///aitrU3KE6AMCAznaFaAY585EVFKRayZv/TSSzh9+jRuvPFG/PKXv8QPfvADnD59GldddRUOHDgw7LFtbW249tpr0dDQgMcffxxr1qyBzWbD9ddfj8bGxmQ9B0o3NrMTEY0oEWvmP/rRj1BcXBx02aJFi7B06VJs3LgRa9euDXvsxo0bYbfb8dvf/hZlZWUAgNmzZ2Pp0qVYv349Hn744QSLT5kQNKAtqtHsDHMiolSKWDMfHOQAkJ+fj3HjxkWsXW/btg0LFy7UghwACgsLsWTJEmzdujWO4tKI4G82l3SQpGFeQlqfOcOciCiVItbMQ2lvb8fhw4dx+eWXh71NX18f6uvrcdlllw25burUqXj99dfR1tYW8sNCNCQJsFpz4jo2GymKNxhHwnN2tOngACApyrDlETkmuAAoshgR5R5J5zBb8RwmjucwcaPxHErS8NfHPJpdCIGHHnoIqqpi1apVYW9ns9kghIDVah1yXUFBAQCgs7Mz1oenkcATecc0AJA4AI6IKC1irpk/8cQT2LZtGx577DFMmjQp4u2lSB8n4iQEYLM5UnLfI5H/E+hIeM6url7vD5Ju2PL0uwQAwO10johyj6RzmK14DhPHc5i40XgOi4vzhq2dx1Qzf+qpp7Bp0yY88MADuPLKK4e9rdVqhSRJIWvf/sv8NXTKMv4BbcNNSwO4AhwRUZpEHeY///nPsWHDBtx777244YYbIt7eZDKhpqYGdXV1Q66rq6tDUVFR3P3llGH+ZvPhFowBp6YREaVLVGG+bt06PP3007jrrrtwyy23RH3nl156KXbu3ImWlhbtss7OTrz99ttYtmxZ7KWlEcFf0x52kxVgoObOFeCIiFIqYphv2rQJa9euxZIlS7Bw4UIcOHBA+zp48KB2u5UrVw5ZEW7VqlWwWCy49dZbsW3bNvz5z3/GbbfdBkVRcPvttyf/2VB6+GvaEWrm3M+ciCg9Ig6Ae/vtt7Xv/p/9qqqqsH379rDHlpSU4MUXX8Tjjz+O++67D0IIzJs3Dy+88AIqKysTLDpljNZnHmE0u8zR7ERE6RAxzDdv3hzVHYW73fjx47F+/frYSkUjmoiyz5w1cyKi9OCuaRQ7Xx+4FGk0u9ZnzjAnIkolhjnFTo1u0RiwmZ2IKC0Y5hQzbd54pKlpOjazExGlA8OcYqdGOTVN5tQ0IqJ0YJhT7PzN5lGuAAfhgRBqastERDSKMcwpdlHOM5cCr2e/ORFRyjDMKWbC32we7QpwAMOciCiFGOYUO63PPFIze8D1nJ5GRJQyDHOKndZnHmkA3MD1giPaiYhShmFOMYt+ahqb2YmI0oFhTrGLempawPVsZiciShmGOcUu6qlpA9dzFTgiotRhmFPs4mpmZ82ciChVGOYUs5h3TQPYzE5ElEIMc4qdv8884mh2NrMTEaUDw5xiF/WuaQHXs5mdiChlGOYUs4EV4CL0mUvSQKCzZk5ElDIMc4qd1sweoc8cGAhz9pkTEaUMw5xiF+0AuIDbcAU4IqLUYZhT7DxR9pkjoPbOmjkRUcowzClmItqNVoCB2jv7zImIUoZhTrHzN5lHmpoGaLV3NrMTEaUOw5xiF0OfucTR7EREKccwp5gIVQWE8P4SzWh29pkTEaUcw5xiE9BcHnHXNCCgz5xhTkSUKgxzik1gKEczAE7nn5rGZnYiolRhmFNMgkI5lj5zNrMTEaUMw5xiExDKETdaATg1jYgoDRjmFJugZnZOTSMiGgkY5hQbT4zN7DrWzImIUo1hTjEJqmFHtdEKp6YREaUaw5xiE1DDjm45V/+iMQxzIqJUYZhTbGLuM/dNTWPNnIgoZRjmFJOgUI6qz5zLuRIRpRrDnGLjD2VJgiRH8fLh1DQiopRjmFNs/M3s0fSXAwErwLGZnYgoVRjmFBtP9DumAVwBjogoHRjmFBN/DTuqTVYAbrRCRJQGDHOKjT+Uo5ljDgSsAMc+cyKiVGGYU2z8zeVR1sy5AhwRUeoxzCkmWg076po5V4AjIko1hjnFRuszj62ZnX3mRESpwzCn2Gij2aMcAKfjCnBERKnGMKeYiBjnmUtcNIaIKOUY5hQbXyhLMY5mZzM7EVHqMMwpNmpso9k5NY2IKPUY5hSbeKemsc+ciChlGOYUE62GHfVodq4AR0SUagxzio2vhh11n3nAojFCiBQViohodGOYU2zirZkDgGC/ORFRKkT1jtzY2Ihnn30Wn3zyCT799FP09vbi+eefx3nnnRfx2LVr12LdunVDLi8pKcG7774be4kpo7Spaboo+8wD+9Y9nug/BBARUdSiemc9ceIE3njjDUyfPh3nn38+tm/fHvMDPffcczCbzdrver0+5vugESDmXdMCbqe6ARiTXyYiolEuqjBfsGABdu3aBQDYtm1bXGE+Y8YM5Ofnx3wcjTCe2BaNCVzDXageSCkoEhHRaBdVn7kss2udfGLsMw9aw53T04iIUiJtHZjLly9HW1sbiouLcfHFF+Puu+9GcXFx3PcnSYDVmpPEEo5siuJtrs70c3bJAm4ARrMpqrK4pTz0+H625CpQMlj+kXIOsxnPYeJ4DhM3Gs+hFKFZM+VhXlNTg3vuuQfTpk2DXq/H+++/j2effRa7du3C7373O1it1lQXgZLIv2FKtH3mgbfjZitERKmR8jBfsWJF0O8XXHABZs+ejZtvvhkvvvgiVq9eHdf9CgHYbI4klDA7+D+BZvo5u51OAEC/O7qyiL6BAO+y9UCnZK78I+UcZjOew8TxHCZuNJ7D4uK8YWvnGekMv/DCC1FaWooDBw5k4uEpAbHumhY8mp3zzImIUiFjI9uEEBxYl418+5lLcYxm55KuRESpkZE0feedd9Da2opzzjknEw9PiVBd3u9RLhoD9pkTEaVc1H3mb775JgDgo48+AgDs27cPHR0dyMnJweLFiwEAK1euxN69e3Ho0CHtuBUrVmDFihWYMGECFEXB/v37sXHjRowbNw7XXXddMp8LpYHwxDg1TZIBSQaEypo5EVGKRB3md911V9Dva9euBQBUVVUNu4jMxIkT8atf/QrNzc1wu90oLy/H1VdfjdWrV3MRmWykxrjRCuANfo+TYU5ElCJRvyMH1rbD2bx585DL1qxZE1uJaGSLdQU4wNsk7wnYPpWIiJKKI9AoJgMbrUQf5tpgOQ/DnIgoFRjmFBs1xtHswMAgODazExGlBMOcYuOJvWau3Zaj2YmIUoJhTlETQgzUrqPdAhXQ+tfZZ05ElBoMc4qeGAjjWJrZtduymZ2IKCUY5hS9wGbymKamsc+ciCiVGOYUvcAwj3VqGgIWnCEioqRimFPURGDNOtrlXMFmdiKiVGOYU/TUwD5zffTH+ZvkOQCOiCglGOYUvbj7zH2j2Tk1jYgoJRjmFLWgZvYYpqZJHABHRJRSDHOKXkDNOraNVvxhzmZ2IqJUYJhT9ALDOKbR7FwBjogolRjmFDXhcQ38EtPa7FwBjogolRjmFD1/GEsSJDn6lw6nphERpRbDnKIXz17mwECfOZvZiYhSgmFOUdNGs8ca5jp/MzvDnIgoFRjmFD1fGMc0kh2BU9PYZ05ElAoMc4pePHuZB96eYU5ElBIMc4qeP4zZZ05ENKIwzClq/uVYpRhWfwMQMDWNYU5ElAoMc4qeGl8zO6emERGlFsOcohfv1DQdB8AREaUSw5yiJuKsmQ/smsYwJyJKBYY5RS/OPnPumkZElFoMc4qev5lcp4/tOG60QkSUUgxzitrACnDxjWZnnzkRUWowzCl6WjN7fKPZOTWNiCg1GOYUvXgHwOnYZ05ElEoMc4qaiHvXNH+fuQdCiOQWioiIGOYUA22jlVj7zP23F4BQk1smIiJimFMM4qyZB+2yxkFwRERJxzCn6MW90UpgmLPfnIgo2RjmFDUR537mgVPZBOeaExElHcOcohfnfuZBU9nYzE5ElHQMc4pevM3sgQPmWDMnIko6hjlFLeGpaQBr5kREKcAwp+jFOzUtoFmeq8ARESUfw5yiF+/UtMC13BnmRERJxzCnqCW6nzkA9pkTEaUAw5yiF+dGK4FhLthnTkSUdAxzil6cNXNJlgFJ8t0Hw5yIKNkY5hQ1Ee/UtMBj2MxORJR0DHOKnscFYNCAtmj5juFodiKi5GOYU/S0FeD0MR8qsWZORJQyDHOKilA9A9uXxjqaPfAY1syJiJKOYU7RCahRS3HUzP21eeFrqiciouRhmFN0AkM4nmZ2/zEMcyKipGOYU1QCB67FvAUqMNDMzj5zIqKkY5hTdNyBNfN4wpzN7EREqRJVmDc2NuLRRx/FN7/5TcyZMwdTp07Fnj17on6Q+vp6rF69GvPmzcOcOXPw7W9/G0eOHIm70JR+Qk20mZ01cyKiVIkqzE+cOIE33ngDZrMZ559/fkwP0NbWhmuvvRYNDQ14/PHHsWbNGthsNlx//fVobGyMq9CUAUkaAMc+cyKi5IuqvXTBggXYtWsXAGDbtm3Yvn171A+wceNG2O12/Pa3v0VZWRkAYPbs2Vi6dCnWr1+Phx9+OI5iU9oF1qjjaGaX2MxORJQyUdXMZTn+rvVt27Zh4cKFWpADQGFhIZYsWYKtW7fGfb+UXkEhLMdTM2czOxFRqsQxkil6fX19qK+vx2WXXTbkuqlTp+L1119HW1sbiouLY75vSQKs1pxkFDMrKIp3OdRMPee+DhkOAJB1KCjMjfl4j8kENwC9Ts3Yc8j0Ofw84DlMHM9h4kbjOfTvVRVOSkez22w2CCFgtVqHXFdQUAAA6OzsTGURKEn8NfO4pqUBkBR/Mztr5kREyZbSmrmfFOkjRRyEAGw2R9Lvd6TyfwLN1HN22Xu8P8j6uMrgdHtfAy5HX8aeQ6bP4ecBz2HieA4TNxrPYXFx3rC185TWzK1WKyRJCln79l/mr6HTCOfvM4+zZu4/jgPgiIiSL6VhbjKZUFNTg7q6uiHX1dXVoaioKK7+csqABHZMAwKms3GjFSKipEv5CnCXXnopdu7ciZaWFu2yzs5OvP3221i2bFmqH56SJNE+84F55gxzIqJki/qd+c033wQAfPTRRwCAffv2oaOjAzk5OVi8eDEAYOXKldi7dy8OHTqkHbdq1Sq89tpruPXWW3HHHXdAURSsX78eiqLg9ttvT+ZzoVRKsGbOZnYiotSJOszvuuuuoN/Xrl0LAKiqqhp2EZmSkhK8+OKLePzxx3HfffdBCIF58+bhhRdeQGVlZZzFpnTTlnONdzQ7V4AjIkqZqN+ZA2vb4WzevDnk5ePHj8f69eujLxWNPG5/M3uiNXM2sxMRJRt3TaPoqEkaAMeaORFR0jHMKSpajVpOdAAcw5yIKNkY5hSdhEezs5mdiChVGOYUHW3RGDazExGNNAxzioq/Rh3/ALiBeeZCiCSVioiIAIY5RStJy7kCAhCepBSJiIi8GOYUFZGsZnZAm+ZGRETJwTCn6CTczD5Qoxdcn52IKKkY5hQdbZ55nCvAyQEfAjiinYgoqRjmFBXhTqyZHUpgmLOZnYgomRjmFB01wXnmAYvNcLMVIqLkYphTdBLezzzgQwCb2YmIkophTlHR9jNPdDlXgM3sRERJxjCn6Phr00oSRrMzzImIkophTlHRAjjOmrkkyYCs8/7CZnYioqRimFN0PAnuZw5oTe2smRMRJRfDnKKT4AA4IHCzFdbMiYiSiWFOEQlVBYTq/SXeqWmBx7JmTkSUVAxzikwdCF82sxMRjTwMc4oscGOUhJrZ/TVzNrMTESUTw5wiCtwYJe4V4ADAvz47a+ZEREnFMKfIAsM3kTBX2MxORJQKDHOKKCh8E2lm989R5xaoRERJxTCnyNzJGgDnDXPhZs2ciCiZGOYUWbJq5oph6P0REVHCGOYUkXA7fT9JCYU5/GGu3R8RESUDw5wi8/jCV6eHJElx342k84a58DDMiYiSiWFOEWl93PHumObHmjkRUUowzCkyX/hqfd5x8h8vGOZEREnFMKeItKlpusTCnDVzIqLUYJhTZFrNPMFmdq3PnKPZiYiSiWFOEWkD1hKsmWvN9O7+BEtERESBGOYUmW8AXMI1c/9yrlw0hogoqRjmFJE2YC1JA+BYMyciSi6GOUXma2aXkjQAjjVzIqLkYphTZEmaZ659GOBodiKipGKYU0QiyTVzCE/QHulERJQYhjlFlqyaeWCfO5vaiYiShmFOESVralrgADquAkdElDwMc4osWcu5Bn4YYJgTESUNw5wiSvpGK+DOaUREycQwp8iSNAAuuM+cYU5ElCwMc4pooGaeaJ/5QM2efeZERMnDMKfItJp5gqPZZQWQdN5fGOZEREnDMKeIkrWca+B9sM+ciCh5GOYUWbI2Wgm8D9bMiYiShmFOwxJC1ZrZoRgTv0PffbDPnIgoeRjmNLyAldqkJIQ5a+ZERMnHMKdhicDtSpNaM+dyrkREycIwp+G5BsJc0ic+AE4bEc89zYmIkkaJ5kY9PT146qmn8Oabb8Jut6O2thZ33HEHli5dOuxxa9euxbp164ZcXlJSgnfffTe+ElNaJb9m7vtA4GHNnIgoWaIK8zvvvBMHDx7E97//fVRXV+OVV17BnXfeiQ0bNmDx4sURj3/uuedgNpu13/X6xEdFU5q4A2vmyegz901NY82ciChpIob5jh07sHPnTqxbtw7Lli0DAJx//vk4efIkfvKTn0QV5jNmzEB+fn7ipaW0E1ozu5T4rmnAQM2cfeZEREkTsc9869atsFgsQU3qkiTha1/7Go4dO4YjR46ktICUYf4atGKAJEkJ351/fXdOTSMiSp6INfPDhw+jtrYWshyc+1OnTgUA1NXVoba2dtj7WL58Odra2lBcXIyLL74Yd999N4qLixMoNiBJgNWak9B9ZBNF8S6Dmu7n3KsXcACQDaakPLbINcMFQJE8aX8umTqHnyc8h4njOUzcaDyHkepSEcO8s7MT48ePH3K51WrVrg+npqYG99xzD6ZNmwa9Xo/3338fzz77LHbt2oXf/e532n3QyOVvZk9GfzmAgeVc2WdORJQ0UQ2AG655dbjrVqxYEfT7BRdcgNmzZ+Pmm2/Giy++iNWrV0dXyhCEAGw2R9zHZxv/J9B0P2dnVzcAQMiGpDy20+Nt4XH39aX9uWTqHH6e8BwmjucwcaPxHBYX5w1bO4/YZ15QUBCy9m2z2QAg5tr1hRdeiNLSUhw4cCCm4ygztAFwSZhjDgzU8IWLNXMiomSJGOa1tbU4evQoVFUNuryurg4AMGXKlJgfVAgxpA+eRihfc3gylnIFACgmAIBw9SXn/oiIKHKYL1u2DHa7Hdu3bw+6fMuWLZgwYULEwW+DvfPOO2htbcU555wTW0kpI7QadJLCXDJ4wxwMcyKipInYZ7548WKcd955eOCBB9DZ2Ynq6mps2bIF7733Hp5++mntditXrsTevXtx6NAh7bIVK1ZgxYoVmDBhAhRFwf79+7Fx40aMGzcO1113XWqeESWXO7kD4CTWzImIki5imEuShKeffhpr1qzBU089pS3num7dOlxyySXDHjtx4kT86le/QnNzM9xuN8rLy3H11Vdj9erVXEQmS4hkN7P7a+bufgihQpLY3UJElKioRrPn5eXhhz/8IX74wx+Gvc3mzZuHXLZmzZr4S0YjgzYALlk184D7cfUDhtEzT5SIKFVYLaJh+VdqS3rNHJxrTkSULAxzGpYIWM41Gfx95gA4CI6IKEkY5jQ8X+BKelOEG0ZHCqyZM8yJiJKCYU7DEk7vCktSsvq2A5rruXAMEVFyMMxpWFrtOUlhLsm6ga1UXaNnKUYiolRimFNYQgjAXzPXJ2/UOZd0JSJKLoY5hedxAsK7jG/SmtkBQM+FY4iIkolhTmH5+8sBBE0pS5Q2mI5hTkSUFAxzCs85ELbJbWZnzZyIKJkY5hSWCBiglqypaQAGVpNjnzkRUVIwzCmsgWZ2KWnLuQIBNXMnR7MTESUDw5zC0mrmelNSN0SRjGbv/TPMiYiSgmFO4fn6zJM6kh0ADP4w703u/RIRjVIMcwprYPW3JPaXA5AY5kREScUwp7AGmtmTWzP3N7Ojn2FORJQMDHMKL9nrsvuwZk5ElFwMcwpLJHnHND9tABxr5kREScEwp7BEfw+AgZp00hhyvd89TgiPK7n3TUQ0CjHMKSwtzE15Sb3fwA8HnJ5GRJQ4hjmF5Q9zGHOTer/aADgAYL85EVHCGOYUlujrBpDimjn7zYmIEsYwp7C0ZvYk18yhGABJ530M1syJiBLGMKeQhKpqTeDJDnNJkgKWdGWYExElimFOIQlnj/azZExuMzuAgSVd+3oi3JCIiCJhmFNofYFhnuRmdgz0w4u+rqTfNxHRaKNkugA0Mon+bu1nyZT8MJdz8qGCYT7aCCHgdKnoc3mgqgIeVfV9F9p3SZKg6CToZAk6Wfb+rPN+N+h1kCUp00+DaMRhmFNI2rQ0nR6Skry9zP0kk8X7OA6GebZShUBXjxPtXf2w9zhh73Wiq9cFe48TXb1O2Htd6O1zoc/p8X250ef0QIj4H1MCYDIqyDHqkGNQkGNUYDLqkJejR77ZAGuuAfm5wd8tuQZ+AKDPPYY5hZSykew+Uo4vzPvsKbl/SpwQAl0OFxrbetHU0Ys2Wx+6+9xo6XSgqb0X7fY+uD0JJHM8ZQLg6HfD0e8G0B/VMYpORrHVhJJ8I4qtOSixmnxfOSgvNiMvR5/SMhOlA8OcQvI3f6dk8BtYMx9JVFWgqaMXDS09aGzvRVN7Lxp9Xz197qjuQ9HJsObqYTF7a8QWs/fnXJMCk0GByaDzfvfVqI16GYpOhix7m9Nl/5evBu3xqHB7vM3w3u8CLreKPqcbjn6PN9Cdbi3Yux0u2Hqc3haCHm8LgUf1ftBwe1Q0+Z4X0DGk7Hk5elQUm1FRbEZ5Ua72c0lBDmv0lDUY5hSS6LUBACSzNSX3r4U5+8zTqtvhwqnmbpxs6cbJ5m6cau5GQ2sPXG512OOseQaUWnNQVpyL0sIcWIw6FOWbUGw1ochiQo5RB2kEBZ8qBHocLti6nWi196HN5v1qtTnQautDq60P3Q7vvgDdDhcOn7Lh8Clb0H0Y9TpUl+aiZkye96vMgurSXJgMfNukkYevSgpJTXWY5wzUzIUQIyoIPi+6HS4cP2PHZ2fs+OxMF040daGjK3zTtFGvQ1lRDsqLzN6vYjMqinIxpjAHOUbvW4XV6t0O12Yb2Wvqy5IEi9kAi9mA6jGhW5cc/W40tvfiTFsPzrT5WiN8XQpuj0C/y4Ojp+04enqgK0gCUFqYg7Fj8jCu3IKJFfkYX5GvnR+iTOErkEISvZ0AACknVTXzfN8DebyL06Sob3606Hd5UN/Uhc/OdPnC247mjvCBO6YgB9X+GueYPFSPyUOJ1TSqmpVzjAomVORjQkV+0OUeVUVLZx9ONXejvrkbJ5u6cLKlG+32fggAzR0ONHc48LdDLQC8AV9ebMbEinxMqPTeX82YPCg6zvyl9GGYU0jC4a2Zy+aClNy/v2bufayulA20+7xqt/eh7lQnDp+04WiDDadaeqCGGCYuSUBVSR4mVFgwvtyCmjILqkpyWZMchk6WtdaJ+WeN0S7vdrhwstnbPXGyqQufNXbhTGsPBIAzbb0409aLdz9uBAAoOgljy7w199pqKyZXF6DQkvxZIUR+/I+mkFLeZ54zUBtSHTbIBeUpeZzPAyEETrf14vDJThw+1Ym6kza02ftC3ra0wKTVNidU5GNcmQVGgy7NJf58ysvRY9q4QkwbV6hd5uh343ijrzXktB3HztjR0dUPt0fg2Gk7jp22Y9t7pwAAJVYTaqutmDW5FGeNK0S+SRlVLSGUWgxzGkKo7oHR7KkKc50ekskC0dcF0d2WksfIVm6PihONXTh8yoa6k5040mDTBmsFMup1mFSVj8nVBZhYmY/x5RZYzIYMlHj0yjEqQwK+o6sfx894g/1ogw3HTtvhdKvawLvdnzRpx9ZWWb019yorJlTmw6jnBy+KD8OchhC9AQN+UhTmACDlFUH0dUHtaU/ZY2SDPqcbRxvsqPPVvP1v/oNZzHpMqS7A5JoCTK62YmxZHnQy+2VHmkKLEYWWUsyZUgrA++GsvqkbR0514nCDDUcb7Ojs7oej342PjrXho2PeD7M62ds0P6XG2yw/udrKD2cUNYY5DeEf/Aakrs8cAOTcIqitJyC6R1eY23qcviZzG+pOdeJkU3fI/u4xBTmY7Htjn1JTgLLCHI76z0KKTsbEynxMrMzHFwHk55vQ1N6L9//ehMOnbDjSYMPp1h54VKENXnxr70kAQEWxWQv2yTUFKLWa+BqgkBjmNITqb/bWmwB9TsoeR8or8j3e5zfMhRBo6XSg7qQ3uA+fsvkWLwkmSUDNmDwtuGurrBww9TklSRLKi3Nx4cwKXDizAoB3cN2RBhsO+14jx8/Y4fYIbWDdXz44DQAoyDNor5HJ1VZUl+ZBlhnuxDCnEESXd8qNnF+a0lqAlFvsfbzPUTO7qgqcbO7WgvvwqU7Yup1DbuevrfmbVCdVWmE28d9xtMrL0WN2bQlm15YAAJwuD443dvm6Xmw40tAJR78Hnd1O7Pu0Gfs+bQYA5Bh1mFRl9Xa/VFsxsTIfeoX97qMR3z1oCNXuC3NLaUofR/bVzLO5mb3f5cGx03atRnW0wYY+p2fI7cxGRWsqnVJdgHHlFugV9ndTaAa9DlNqvDVwwPsh8VRLt/YBse5kJzq7nXD0e/DxsXZ8fMz7P6ToJIwvz9dea7VVVq49P0owzGkI1Vczl1Ic5lKer2be3w3hdEAypK5JP1nsvU4c8Y0yP3zKhvqmLm0N8ECFFqP3zdg3x7iyNJfTkChusm9w3NgyC5bOq4YQAq22Pu1DZN3JTpxp865cd6TB2w//xz31AICq0lxv07zvtVhsNWX42VAqMMxpCDWgmT2VAueWq7ZG6EonpPTxYqUKgab2XhxtGKh5N4bq78bAG+ZkvmFSGkiShNKCHJQW5GDhDG+/e5fvg6Z/YOWJRu8HzYaWHjS09ODP+xsAAEX5Rq1ZfnJNASpL+EHz84BhTkGEqkJ0tQIAZMuYCLdOjGyyaHPN1Y7TGQ/zbofLt9CHTVvwo7d/6K5hik7ChIp8Lbxrq63INbEpkzLLYjZgzpSBKXH9Lg8+O23Xxm8cabCh3+lBu70fuw82YfdB73z3XJN3vru/WZ4LDWUnhjkFEfYmQPX2+crWspQ/nlxQAU9jF9TOMyl/rEBuj4pTLd042jAQ3k1h1jI3GxXfkpzeWveECgsHGdGIZ9TrcNa4QpzlW9DGo6o41dyjrWdQd8oGe48TPX1ufHC0DR8c9c5i8S4BnBu0kmBVaS7Xmh/hGOYUxNPm7WeD3gQpxc3sgD/M61Ia5i63itOtPWiua8HRBhsO13fiVEt3yG0/ZUlCzZg8bV7wxMp8lBWZ2QxJWU8nyxhXbsG4cguWLaiBEALNnQ4cHjRtUgjgVEsPTrX04K8fev8v9YqMsWPyML4i37dTnIX/FyMMw5yCqL4w1xWPhSSl/pO4XFAJAPC0n0rK/fW7PDjV3I0TTV040ejd9rOhpSfkIDXAO1BtUmU+JlZ6p/WMK7dwSU0aFSRJQlmhGWWFZiyaNTDf/Xijd8tc/5K0tm4nXG5V2w72T77jjXodqsfkomaMBWP9u++V5rGJPkMY5hTEXzOXi2vS8njyGG8/ubA3QXXYIefkRzjCy+1R0dThQENLt3eAT2sPGlq60dzhQOjYBgosRkyqtKKy2Ozd0aoynwuzEAXIy9FjxoRizJhQrF3W0dWvrUzn/eqCo9/t3e+9wY6jDcH7vZcVmVEzJg9jy7wBX1mci6JRtr1uJjDMSSNUFZ7mYwAAXfG4tDymrmQ8IOsA1QNP0xHI4+cGXe/2qGjpdKCxrRen27yjck+19KCxvQduT7jYBorzjRhb5m1SHOf/XlUAALDZwu/zTUTB/GvNz/UNrFOFQEuHAyebu1Hf3IWTTd593zu6vPu9N7b3orG9V1vYBgAMehkVRbmoLDGjsiQXFcW5qCzJRWmBifsLJAnDnDRq63GgvwcAoKualpbHlBQD5JLxUJuPovnQh6hrH4Mz7b1oanegqb0XLTYHQixbrjEadKguyUVVaS6qSvJQVZqL6jF5yOcGFUQpIUsSyorMKBu033tXr1Pb772+qRsnm7twpq0XHlXA6VK9XV9NXUH3pei891VRZEZpYQ7KCs0YU5CDMYU5KLAYWZuPAcOcNO5THwMAJGt5Uld/E0Kgq9fl2wLSgTbfVpAtvp8X9Jmx1Ag4jr2Pzftr4G2sC6ZXZJQVmlE9JhdVJbmoKs1DdQmb74hGCovZgOnjizB9fJF2mb9l7XRrD0639uBMW6/3e3svXG4Vbs/APPjBFJ2M0gITygrNKPUFfFG+EcX5JozX67iy3SBRhXlPTw+eeuopvPnmm7Db7aitrcUdd9yBpUuXRjy2vr4eP/nJT7Bnzx6oqor58+fj/vvvR21tbcKFp/hIkgS93tu05XKpEEJACAH30d0AAKV6RsjjDAYZZrNR29hBVQU8qkBXrxPt9j602/rQbu9Hu70PbfY+dNj70NLpQHO7A/2uoUuc+r2vG4ulxo9QprNjRkEPUDQW5YXeT/7lRWZUleaivCQPsgw4HG4IX1Vdr9dBkiR4PCo8nqEj0wFAp5ORk6OHJEmQJAxby08GWZagKP5z64np8STJ+5x8vwEAPB4Vqqpql/v/XoF0Ohk6nQwhhO/vKsHtVqEo3sucTk/Y8xNtedxuFapvEKEkAQaDAlmWoKoCbrdHu24wvV6nvV6EEEH3o9NJMBr12n2qKtDf79Ku9/99A+/f/9g6nQyPR0X/oHUAAsvscqna7zqdDLfbA2eIpXb1ep2vnN7Xh8vlvZ3RGPpxQpUrkMmkQJbDP14kRqMCvV4HIQT6+z1wu2O/j0Reh8lkMioYV2FFTZkF7oDZI6oq0Op7f2ho7cGZ1h40tfeiudOBDru3ud7tUbWNZkIx6nUoyjeiKN+EIos35At9YV9ckIOifBPMJgVCFUGP/XklicHvDCHcdNNNOHjwIL7//e+juroar7zyCn7/+99jw4YNWLx4cdjj2tracMUVV6C4uBjf+c53oNPpsH79etTX12PLli0oLy8Pe2wkqirQ1tYd9/HZxmr1LnWaSH+vJAFmnRNSbwd6DnmDO3fqBRDmQtjqj8Dx+uMAAOUrP0RPTgW6HC509Trh6HOhz9ELm70bXU4ZNrsDHb0etHf2wtYvIcz7eEhmRUVpLlBeVoSSwlzkW8wosRgx4b2fQtfdDP3Ui2BafDMA7xuSR5LR0NKNfQebkGNU8IU5Vcg1KXC5Vez++Aza7H2YMbEYkyqtUCRooaXTSXBLEtxugZ0fnUGbzYFp44swdVwRjLKAy5Xcf25JAlRZRqutD7s/boReJ+PCWRWw5Oi9KRWJLKOrz4WG5h5UjcnDB4db0Oor86QqK977exNaOvtw/oxyFFtNkFXVGxgC+LS+w/vGZs3BySY7JlcX4JPP2nGi0Y6q0jycM7kUOQYdZCGiD3WdjO4+N9794DT6XR6cd3Y5yovNEAI4cLgFnzXYUVmai+kTiuFyeVCYb4ROiIFwk2U4XB7s/PAMuh1OzJxUggKLERDeFcggSeh1uKAoOvT0ubDzw9Nwe1QsnFWJUmsOXG4P3vnwNGw9TsydUoqaMgv0Ohl9LhUnGu348HALLLkGXDirEjkGHeBRAVmG3eHCux+ehscjcP7McuSbjdj+3kl4PCrOm1GBQosROghAFZBkCR5JQm+fG3pFxokzdnx8rA0FFiMunFWJdlsfdn50BjVleZh3Vhn0sgSH04N3PzqNrh4n5kwZg5qyPO156xQdnKrAR0dbcfSUDRUlZpw7vQIGGVADznu4/2VZJ8MlgPc+bUJDczdqyvMxfUIRzEYFkqpCRPGPFvZ1aNZ7z1GayDoJHkj46GgbjjbYUF2ah7lnjYEegKp6/1a9Tg/e/aABDqcb86eVo6LEjH6nir/uP4Wmjl6UF+V6++fbe9HU0YuWTm8FwRlDMEsSYDbpUWI1oSDPiHyzHtY8A6y5RljMeuTleL9yTd7vBr08YreYLS4efoe8iGG+Y8cO3HrrrVi3bh2WLVsGwPsJ+9prr0VnZyf++Mc/hj32iSeewAsvvICtW7eirMy7AElHRweWLl2Kr3zlK3j44YfjeU4AGObhqKpAv8sDp8uDPqcHvf1u9Pa74ehzQ3X3oXX/DnS1tcIhDOgTejiEAS5TAf7R8FeMEW047i7FU/Yvx1VGPdywyr0oMHpQVlMD4+n9GDOmGOPmLIC08zlYHQ0wyy7t9oWLr4VpxhJ0u/RwHtyO/neeByQZ5q/9EErpBHgkCf/67G6cag7+O19+4QSMr8jHL37zgXZZgcWIf7t9IfJ802JcAvjbp0145pWPgj5sWPMM+PFtC1Fo1sM1TGtBzBQdntj8N3x6oiPo4kWzKrHqq2dDDFO7khQdnnvjIKy5RpQVm7HptY+Dypyfa8B9K+dj42sf47PTdkwfX4T7bpiPzq5+PLhhJ276ytk4dKIDnd39+OJ5Y/HE838LesMz6nW457q5qBljgVkvBwVLuPJsfutTbN93Urts3lljsHzhBDyx+W9BrSx6Rcbd35yLD+qa8Y+XTIZBAlRJwmt/PYYtfzkWdL9VpXn4ztdnQ1UF/rL/FL62pBbP/f4gdn8cvMbAlLGFuOsbs/G9n/9F27Rmck0Bvn/9PDz8y9043RrcJLti8SRc8YWJ+OWrH2PnR8H3NXVcIVZ+eRp+vGkP+p0enD+jAl+/dAoK8ww42mCDJdcAnSzhP154b8jWtF+7eBIKLSZs+v0nMCgy7r9hAf53zwns+aRRu01ZkRk/vu0CmPQ6nGnrxSOb9qDHMfAal2UJ37t2LqaPK4TwnfdQ/8uyIqPulB1PbN4XNLAzx6jg3uvnwajXobLIDBHpg2ECr8NkkXUSmm39+NEvd8MR0KKh6CT8n2+di4mV+fh/2w/jDzuPa9fd+rWZaGztwWt/DX7NVBTn4pFbz4de8r63CSHQ7XDBqQKtNgdOnrF7WwO7+tDW1Y/TLT3oc7rjbolQdDJycxRvyJv0yM3RIy9HQa5JD5NRQY5BB5NBQY5R5/vd97NBgcmgg9GgS1m3X8Jh/uCDD+LNN9/E3r17IQeMOvz1r3+Nhx56CG+88UbYJvMvfvGLmDhxIjZs2BB0+fe+9z3s2rULO3fujOW5BBlpYa76Pp2rqhj4WQAe1VsbcnlUuH19RG6PCrf/Mo/wXT5wncsT8Lvb+zskCX1OD7p7+tHvUrXAHvjuvSzUQijDKZB78HXzbpxtaIAqgJ/Zv4wTnoH+ckUnIQ+9KCwpgsnRjAKrBfrmv6Mw34Ty2qnQffwGrHIv8qVe5Egu+F/HOeNnwTR+JhRLITp3vQpX68mQj19xw6PoNdfA43Kh5zcPQNiaIJkLkHPpbVj7jhMfHmkLedx3vj4bv//rMRw/MzAtpqzIjH+7fSF0MtDZ7cLdP9sR8tjSghw8tvpCyNHUmKMg62S8uLUOW/fWh7z+5q+cjYvPqQzZXKroZbzzUSM2//FTPHDTuXhwQ+j/iaJ8E/7pH2fh357bCwD46T9/AT/etAfF1hx8+YLxePq3H+Cx1Yvw0H/tDPkaMCgyHrltIUp8tfpwFEXG3kMtWPf/Pgi6/LHVF+Jff7k7ZHeJopPx49suwHO//wQ/uGE+jp2241FfOQebMbEY31g2BS63is9O27D5j5+GvN3SBTUoLcjB/2ytA+A9h3s/acTHx0K/Hu6/YT5e+t9DqG/sGnLd0gU1MBoU/OHdzwAAK788DQtnVeDVvxzFBTMq8Pwf/46jp2yh73flfPz3GwfR1N6rPc9/Wf9uUFhMGVuI7183F9//z7/C3jN0u1tZAtbdewlMvrfPUGHugoR/emJ7yGZ7s0nB//nWuSgtMMEwTE5Eeh2u+urZWDwr9OswmYROxp0//XNQkPvpZAn/+b2L8c9P/llb+6F6TB6+fukUrPnV+yHv76zxhbj32nmQ1PCtGzpFh7f21mNmbQke3LAz5LoSOlnCvLPGwN7dD1uPE/YeJ3r73GGnssZDAmDyhbtBr0NtVT5uXj4tKbX9hMP8G9/4BiRJwv/8z/8EXf7BBx/g61//Op566iksX758yHF9fX2YPXs2br31Vtxzzz1B1z3zzDN48sknsXPnThQXFw85NhrJDPMDO3ej5+/vQAgVEN6WBwEAQkAIQMD7HUMuh68TVmgviHCnWgrzkpGiuk3kYxFwG2nQjSR4X8g61QWd5IEOKgySG/mSAwW6gTeUlrFLYa/9MixmPSxmA4ryTTAd3wEJApLeBFlvRMeOl+C2taB42c3o+vBtOJs+C/OMvUEtnH1o/J9Hw94mp3YurJfdiR6nDE/7KfS++ijg6gMA2NQcNHvy0S1McAkdhLckUAVgyTOisiQPnx4ProGcP6McRoMOh0924nSIQTV+555djlyjbkj/czwEJPzlQEPY2oBRL+P8mRWQQtxAQMLuTxpRUuB9c2poDv+anj2lFH8/3g5ZAiaPLcSHh1sxbXwhGlp6oOgklBTmoO5EZ9jjp4wrRJHFiBxD+OctIGHv35vg6Bt4Iy6wGFBWlItDg2p7gSbXFKDN1oezJxbhoyOt6Ayxh7vfeTPKYVBk7D3YhP4wfcqSBCycWYF3fSuQnXt2OfYG1IgHs+YZUF4cuoyyDMw9qwx/861FXjUmF0a9om2Gs893eShFVhOK8o04ctIW8DwdaLf3B93uwlmV2PnR6bCvgfGV3mVRharCYPAOVXI6vedYp5NxvLEr7AcKAJg+sQhCBSqKzd5m6hAivg4NOpw/ozzk6zBZJElCW1c/PjzcGvY2E6ussPc40drpfe+ZMq4Qze296OzqD3vMF2ZXQhfwxjb4HApI+PuJduTnGrS/VSgzJhWj1GrSXv9CYKAC5as4udwq3G4x8LPveu/YHAG36v8uEOmTwElPMa657SZYkjC7JlKYRxwA19nZifHjxw+53Gq1ateHYrPZIITQbheooKBAOzbeMJekgU9nico9uAWT1BBvFBLCp/Pn0JzLrwTySrTfZVlC+57jyJ16HhwnPoa5di7cNu+Oakp+MVwdEZZg9bjh7gpdk/Jzt5+BAhes1gLAOhmWlf+Gjjf/C87TdbDKDljlMN0KbgCNwIWDNyc7Ugc3gAkAJgy3cdnROoSPm9gtjLD2jPtg6BooAMyXAfgaGMYPV+b6Ou9tAeCk77k3AkUA4AHQBJQOd3yT9yvS854LAIH34/IeVzLcfbcAYwConwJnDz5+sCN1UOF73sPdrq5u4O97tG7o3zqQO0IZjwUc72/M8b00h73ffgAtQJn/Nr7nOaTcdXXDvwbaAad3y3G4Bl3lAlAOoHy4cpz2FSf85xkA0bwO/z78DZLAggjntA2oADDVf5smoBQY9rWgfup9zfgNPocAMBkAegP+VqE0AM6GoRfrfV9RJYrs+4pShfVm6MyJZ1Wkyn1Uo9mHayKI1HwwUgcTBKq49Dq0vbcNgPCOegYA3+hnCb7vvt/hu977u/e5DVw/cJ12vCRB9v0syzJk2X+ZPPDHCXOOAs+d5OviGDIIJuhYKeSPgATJ04/uT/4adjCWZDBB0ilBHzSFAAwl1XDZ26AvLIfq6IbOUgRPVzvcPZ1QrKVwtYRuPgcA6PRQ8orCXw9AsY6BpBi0x9UXV6P02kfQfPwoXvi/v0eB3IM8qR+K5PHVy70tFZYcBeXF5iG1mXOmlMKgl3H8tB0tYTZOAYCZtcXIz03OXHSXW8W+g01ha0R6RcacqWOgV4b+nV1ugf2HmlFcYILqEWgepsxTxxfi+GkbJElGTVkeDtd3ora6AKfbumFQdLDmGXDizNBmZr9xFRYUWIzDTulxewQO1DWj3znwOsnPM6DIYgrq0hhsbLkF9h4nJlVZcai+A929od5uvWZNLoFekfHh4daw3UKSBMyZMgbvH2rWjhmutpdr1qOs0IxjDUNrZZIEzJhUgo+OeI8vKzZD0cnegXgAPgrTlQMMfe7+5zm4Fjlnain217WEralVlHo3LvG/JwAIaB2RcKLRjlNN4VtlJlVbIQRQUWIOe5tEXofJ1NLZh7phWnGqx+Sht9+Ndpu3BW5CVT5aOhzDvmbmTxsTtEzs4HPocqs4esoGc44eJ0N0tfjVVhegrDg5lcBoGMomQWeOblXLREUM84KCgpC1b5vN+08Tqubtv1ySpJDH+i/z19DjIUTyVvLKGz8TeeNnJuW+UiXR0exGRUAymNH1XugBi5bZy+BQjegfdP/WaQtx5oUfoeKbD6Ft+2bkz/0SOna8hO4P/4z8OcvQ9r+bQj9e9VnoP30YSm4BlMJyuDtCVymsF6xAV78MT2/w45pKx6K94jzsPB76TeH2L83C5n31ONzTqV1WbDXhC19eBFkGymz9+Onav4Y8tsBixBf+4QuQkzS6V6+Tccx5EH85cDrk9ddfdhby5lfDEyK4THoZrtIG/GL7Edy7cj7+45ldIe8jP9eA754/B89s3AMAeHLlRfjNM7tQ5cjDxYuqsfa1j/Hv/3ghNq9/N2S/q6KT8OiXLkR+hD5zk16GKG/E/331Y+0yqRd47KpFeHHDuyFX3ZNlCf/2pYV4ccvHePCyBcg90YFfvPBeyPufMrYQk847CwBgt7bi1386HPJ2X5hdCbXciuff99Ykb50wEzvbTuLwyc6Qt7/7q3Pw/F+O4WjP0DD/wuwqdOSb8GrPUQDANxdOxYWzK/HWrhOYP70Mbzd+jPqm0AFwz1fn4tltdWjo6dae579t2Bl0jsdX5OPCLy3A/zu4A719Q/uJAWDdPy3RQjTU/3K1AP79ie0hg9ho0OGHl5yHQosJyjA1woivwy+fhbx5oV+HyVQmy3j4ie0hR53LEvCzKy/GPT/7C9y+/7/xXfn4ypKJ+L+/PhDy/iZVWXHRFxcM22duVGScePc45k8rw+ZBfx8/RSdh/ZWXQJfGeXoqkpdTxcV5w9bOIzYW1NbW4ujRo0P6aerqvANTpkyZEvI4k8mEmpoa7XaDjy0qKoq7iZ1i1++WkH/+Chgrhg5WNFZNgeXcryDEeBU4hAnFy26Es/kE8mcvhaFsPHJq56L/9GHozFbknnXBkGOU/FIULbkOtj2voaduH8quug9yiE+n+ef+A+TCKnhCBYRQcfc356K0YOin6IvmViEvRx/0xp5rUvDDm8+DXhKQhUCBxYDrLztryLE5RgUP3XwekroXhKriW5dPx9hyy5CrzplcgqXza8K+gbpdKi6eU43JYwvwydE2XPulqSHLfM835+Llbd7/pfEV+SjON+JfbzkPJxrtyM8z4IIZFfjjzs/wvWvnDulX08kS/vkbc2A2KlCk4d/I3C4VF8yswLnTB6aNCgG89tej+O41c6EbdN+yLOHOq8/BX/c34N7r50EWAmeNK8QlC4au7V9SYMJN/zAdJoMOf37vJC49dyxm1ZYMud3YMgu++cWz8NvtA0H/p331uPubc1FSMLQN9ZIFNZhVWxKyxWFcuQXLF47H1r0nAHhr+OeeXQ6zQYfJNQXIy1Fwx9XneKfNDfLF88ai3+VBQ4s3yO++Zg7e3HU8KCgKLUbcv3I+cgwK7r9hQchNev7pH2ch1zj8C86kyLjrG3OGvFnrFRl3XzMX/S4PTJFq1MO8DmdPLsXSeeFfh8mkQOChVecN2TJVloC7vzkXFrMeC30buwDA8TN2yJKES+YNfc0U5Ztw7/XzvNMJh+Fxq7j8wgn44HAL7rjqnJD/A/9y47nQZ0FLcbwiDoD785//jNtuuw2/+MUvcOmll2qXX3fddWhra8Obb74Z9tjHH38cL774Iv70pz+htNQ7QrqzsxNLly7F5ZdfjkceeSTugo+00eyplqx55rk6J9TOM+j5+G0AMnJnXgzZWo4ejyFs85xBp8IsOeDp7YJsyoOn1wYIge5P/gLzpLnQmS3o+ugvEP0OmKfMh2ItRc+nu2EaezYMxVUQsg4SBBz1n8Bx7AB0OfmwzF4K1WhBtyt8U7dOJ8ENGYfqO7Dnk0aYjTosXTAWhRYT+vrd+NPf6tFm68Os2hKcM7kU+qB55jLcABz9HmzbV492ex+mjS/CgullMMpScqelwT8nXsLJpm7s2H8KekXG0vljUVLgrQlHqgwInYw2Wx+a2ntRUZKHXR+dRmunA9MnFGP2lFLs/Og06hu7cPHcalSPyYPsmyftEsD7nzai2GpGbo4ep1q6MW1cEfZ80uidZz4mDwtnVsBs1EMHEXFamlYeWUZHdz+27qmH0+XBotlVmFiVD49H4J0PTuPYaRuqSvJw7tnlcPS7MKbQHHT+/XO+t+6tR4/DhdlTSlE9Jg99TjeqivOgSoCtqw+5OQa0dDqw4/1TcHtUXDSnGmPLLHD0u/DWnhOwdzsxf1oZpo8vgt4gw9Hvwd8/a8f+uhbkmhR88bxxyDfrIakqVMk7v3rbvnq4PSounluN0kIz3nj3GJwuFYtmV6GiyAxF9q1QI0twCwn9Lg8UnYRPjrbho6OtyM814NJzx8He049t++pRVZKHxXOrYVBk2Huc2LavHvYeJxZML8e0cYXa+gaSooPTrWLXx2dwrMGGsiIzLplfgxy9DNUdvlbpJ+lk9HsEdrx3Cg2t3RhXno8F08tgNuq8ta4o5pkn+jpMFkknw60K7Pr4DI6csqF6TB4umlMFgywBqoCQZdh6nNi6rx6OPjcWzqzApOoCdPc6sXVvPbp6nTj37HKcNa4QCjBkfYRQ59A/x7671wVVAHs+OYPTrT2YUGnFhbMqoJcBMcx+DiNdwqPZhRD41re+hUOHDuHee+9FdXU1tmzZgi1btuDpp5/GJZdcAgBYuXIl9u7di0OHDmnHtra24oorrsCYMWNwxx13QFEUrF+/HsePH8crr7yCysrKuJ8Ywzx+3tWh/Ct7hV+9azCTSe9b3Ury9t1LErRxBr55oP5V1vzjDgDvKlZ9fW7vSlyyd+Spw+GM+o3Fv0KXJEno63NqNXn/iFZVVcOu8KQoOuTk6CEEoNdLUNXUbrSi00nQKTpg0Gpn0dBW7ZIk+PNG+BZ68V/udg39e/nPjSzDtxKc9zh/v6LL5Ynrw4u2UqAkweP2jua1WnMgSd6/n3dVNTXs+fev1ub/WRXQ7gfw/m0MBu8KccI3Q6S/3wWPR/hWbhv695VlyXeMd3W7vj5X0Oso8By6XR7v/RgUyL6VAp0h5iAbjQoURYYsy1BVVVvxzWTyrhwohIDDN3fc/5yECP26kyQgJ8fgK7e3fINF+l/OydFDp9MBEHA63XGtIpfI6zCZ/K9N73MJfh6S5P1bCgy8LiKdX7/hzqH//U1RZN8KiiLpH94zIeEwB4Du7m6sWbMGb731VtByroE19VBhDgDHjx/H448/jj179kAIgXnz5uH+++/H5MmTE3haDHOKHc9h4ngOE8dzmLjReA6TEuYjEcOcYsVzmDiew8TxHCZuNJ7DSGHOjWSJiIiyHMOciIgoyzHMiYiIshzDnIiIKMsxzImIiLIcw5yIiCjLMcyJiIiyHMOciIgoyzHMiYiIshzDnIiIKMsxzImIiLJc1q7N7t9labTwb8M7mp5zsvEcJo7nMHE8h4kbjedQkqDthBjy+mwNcyIiIvJiMzsREVGWY5gTERFlOYY5ERFRlmOYExERZTmGORERUZZjmBMREWU5hjkREVGWY5gTERFlOYY5ERFRlmOYExERZTmGORERUZZjmBMREWU5hjkREVGWY5iPcD09PXj00UexaNEizJo1C1deeSX+9Kc/ZbpYWWPXrl34wQ9+gC996Us455xzcNFFF+HOO+/EoUOHMl20rLZ27VpMnToVV1xxRaaLklX27NmDm2++GfPnz8c555yD5cuX4+WXX850sbLGwYMHsXr1aixatAizZ8/G8uXL8cwzz8DpdGa6aBmnZLoANLw777wTBw8exPe//31UV1fjlVdewZ133okNGzZg8eLFmS7eiPfSSy+hs7MTN954IyZNmoTW1lY8++yzuOqqq7B582bMnj0700XMOocPH8Yvf/lLlJSUZLooWeWVV17BAw88gKuvvho33ngj9Ho9jh07BpfLlemiZYWjR4/immuuwYQJE/Av//IvKCwsxO7du/HUU0/hyJEjeOKJJzJdxIzifuYj2I4dO3Drrbdi3bp1WLZsGQBACIFrr70WnZ2d+OMf/5jhEo58bW1tKC4uDrrMbrdj6dKlOP/887F27doMlSw7qaqKa665BjNnzkRdXR3sdjteffXVTBdrxDtz5gwuu+wy3Hnnnfj2t7+d6eJkpbVr12LdunXYunUrxo4dq11+77334g9/+AMOHDgAvV6fwRJmFpvZR7CtW7fCYrFg6dKl2mWSJOFrX/sajh07hiNHjmSwdNlhcJADQH5+PsaNG4fGxsYMlCi7/fd//zcaGxtx9913Z7ooWeU3v/kNAGDlypUZLkn2UhRvQ3JeXl7Q5RaLBYqiQKfTZaJYIwbDfAQ7fPgwamtrIcvBf6apU6cCAOrq6jJRrKzX3t6Ow4cPY/LkyZkuSlY5efIk/vM//xM//OEPh7yh0vD27duHSZMm4X//93/xpS99CdOmTcNFF12En/70p+zvjdIVV1yBgoIC/Ou//itOnjyJ7u5ubNu2Da+88gpuuummIe+Tow37zEewzs5OjB8/fsjlVqtVu55iI4TAQw89BFVVsWrVqkwXJ2sIIfDggw9i0aJFuPTSSzNdnKzT3NyM5uZmPProo7jrrrtQW1uL3bt345lnnsGZM2fw5JNPZrqII15lZSVefvll3HHHHUGvwdtvvx3f/e53M1ewEYJhPsJJkhTXdRTaE088gW3btuGxxx7DpEmTMl2crPHrX/8aH3/8Mf7whz9kuihZSQiBnp4erFmzBpdffjkA4LzzzkNfXx82bdqEf/7nf8a4ceMyXMqRraGhAbfffjtKS0vxi1/8AhaLBfv27cN//dd/QZKkUR/oDPMRrKCgIGTt22azARiooVN0nnrqKWzatAkPPPAArrzyykwXJ2u0t7fjP/7jP3DbbbchJycHdrsdAOB2u6GqKux2O4xGI4xGY4ZLOnIVFBQAABYtWhR0+UUXXYRNmzbhk08+YZhH8OSTT6KnpwdbtmyByWQC4P1ABAC/+MUvcNVVV6G6ujqTRcyo0d3JMMLV1tbi6NGjUFU16HJ/X/mUKVMyUays9POf/xwbNmzAvffeixtuuCHTxckqTU1N6OrqwpNPPokFCxZoX++//z7q6uqwYMECzgqIINL/6mjv743GwYMHUVtbqwW534wZM6CqKo4dO5ahko0MrJmPYMuWLcNvfvMbbN++PaiPaMuWLZgwYQJqa2szWLrssW7dOjz99NO46667cMstt2S6OFln7NixeP7554dc/u///u/o7e3Fo48+isrKygyULHssW7YMv/71r7Fjxw589atf1S7fsWMHJEnCzJkzM1i67DBmzBgcPnwYDocDOTk52uX79+8HAJSVlWWqaCMCw3wEW7x4Mc477zw88MAD6OzsRHV1NbZs2YL33nsPTz/9dKaLlxU2bdqEtWvXYsmSJVi4cCEOHDigXWcwGDB9+vTMFS5L5Obmas2ZgfLz8wEg5HUU7KKLLsJFF12ERx55BB0dHZg8eTJ2796N559/Htdccw2qqqoyXcQR74YbbsAdd9yBVatW4Vvf+hYsFgv27NmDjRs3YuHChdosn9GKi8aMcN3d3VizZg3eeust2O121NbWDhnNSeGtXLkSe/fuDXldVVUVtm/fnuYSfX6sXLmSi8bEoLe3F2vXrsXrr7+Ojo4OVFRU4Oqrr8Ytt9zCZvYo7dy5E8888wzq6urQ29uLqqoqLF++HDfddBPMZnOmi5dRDHMiIqIsx4+DREREWY5hTkRElOUY5kRERFmOYU5ERJTlGOZERERZjmFORESU5RjmREREWY5hTkRElOX+P6JfOJWKWHbUAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parameters update\n",
+ "\n",
+ "means = [np.sum(p_Ck_x[k] * data1D) / np.sum(p_Ck_x[k]) for k in range(2)]\n",
+ "stds = [\n",
+ " np.sqrt(np.sum(p_Ck_x[k] * (data1D - means[k]) ** 2) / np.sum(p_Ck_x[k]))\n",
+ " for k in range(2)\n",
+ "]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "de2c408b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 132.1856163952867\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "id": "2f7810ef",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parameters update\n",
+ "\n",
+ "means = [np.sum(p_Ck_x[k] * data1D) / np.sum(p_Ck_x[k]) for k in range(2)]\n",
+ "stds = [\n",
+ " np.sqrt(np.sum(p_Ck_x[k] * (data1D - means[k]) ** 2) / np.sum(p_Ck_x[k]))\n",
+ " for k in range(2)\n",
+ "]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "4e622b8c",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 148.44003898677062\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "id": "b23cdf1d",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parameters update\n",
+ "\n",
+ "means = [np.sum(p_Ck_x[k] * data1D) / np.sum(p_Ck_x[k]) for k in range(2)]\n",
+ "stds = [\n",
+ " np.sqrt(np.sum(p_Ck_x[k] * (data1D - means[k]) ** 2) / np.sum(p_Ck_x[k]))\n",
+ " for k in range(2)\n",
+ "]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "id": "77c8bf21",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Total likelihood = 149.84601632054645\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Allocation update\n",
+ "\n",
+ "p_x_Ck = [stats.norm.pdf(data1D, means[k], stds[k]) for k in range(2)]\n",
+ "\n",
+ "p_Ck_x = [p_x_Ck[k] / np.sum(p_x_Ck, axis=0) for k in range(2)]\n",
+ "\n",
+ "labels = [np.argmax([p_Ck_x[0][i], p_Ck_x[1][i]]) for i in range(len(p_Ck_x[1]))]\n",
+ "\n",
+ "sns.scatterplot(x=data1D, y=[0] * data1D.shape[0], hue=labels)\n",
+ "x = np.linspace(-1, 9, 1000)\n",
+ "plt.plot(x, stats.norm.pdf(x, means[0], stds[0]))\n",
+ "plt.plot(x, stats.norm.pdf(x, means[1], stds[1]))\n",
+ "\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(\n",
+ " \"Total likelihood = \",\n",
+ " np.sum([np.max([p_x_Ck[0][i], p_x_Ck[1][i]]) for i in range(len(p_x_Ck[1]))]),\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0366af23",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Extension to multi-dimensional data\n",
+ "\n",
+ "- The mean value becomes a mean vector\n",
+ "- The variance becomes a covariance matrix\n",
+ "\n",
+ "The principle remains the same: EM-algorithm\n",
+ "\n",
+ "- Use current estimate of the parameters to allocate soft clusters to the data points\n",
+ "- Use the soft allocations to compute the new estimates for the parameters\n",
+ "- Stop when the total likelihood stops changing"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1b1f7634",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Exercise: Understanding covariance matrices\n",
+ "\n",
+ "Play with the parameters of a covariance matrix to understand what they represent"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "id": "da23dc88",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "mean = np.array([5, 5])\n",
+ "cov = np.array([[1, -0.5], [-0.5, 1]])\n",
+ "\n",
+ "n_points = 500\n",
+ "\n",
+ "data_test_cov = np.random.multivariate_normal(mean=mean, cov=cov, size=n_points)\n",
+ "\n",
+ "sns.scatterplot(x=data_test_cov[:, 0], y=data_test_cov[:, 1])\n",
+ "plt.axis([-1, 11, -1, 11])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "7572f6f5",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## GMM using sklearn\n",
+ "\n",
+ "__Exercise:__ Solve the initial example problem using GMM.\n",
+ "\n",
+ "- from sklearn.mixture import GaussianMixture\n",
+ "- GaussianMixture(n_components=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "id": "1bb3f99f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([4.5, 4.5])]\n",
+ "covariance = [np.array([[0.1, 0], [0, 0.1]]), np.array([[2, 0], [0, 2]])]\n",
+ "n_points = 500\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance[i], size=n_points)\n",
+ " for i in range(2)\n",
+ "]\n",
+ "data = np.r_[data[0], data[1]]\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.axis([-1, 11, -1, 11])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "id": "c1d47c17",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.mixture import GaussianMixture\n",
+ "\n",
+ "gm = GaussianMixture(n_components=2)\n",
+ "clusters = gm.fit_predict(data_scaled)\n",
+ "\n",
+ "sns.scatterplot(x=data_scaled[:, 0], y=data_scaled[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fcda2826",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## GMM using sklearn\n",
+ "\n",
+ "__Exercise:__ What is the probability of the point $[-0.5, -0.5]$ to be in the blue cluster? The orange?\n",
+ "\n",
+ "- gm.predict_proba"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "id": "3fa2d2e3",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "new_point = np.array([-0.45, -0.45])\n",
+ "\n",
+ "sns.scatterplot(x=data_scaled[:, 0], y=data_scaled[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.scatter(new_point[0], new_point[1], color=\"k\", marker=\"x\", s=200)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "id": "e90c9136",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Proba new point in blue cluster = 0.5714547896575101\n",
+ "Proba new point in orange cluster = 0.42854521034249016\n"
+ ]
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data_scaled[:, 0], y=data_scaled[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.scatter(new_point[0], new_point[1], color=\"k\", marker=\"x\", s=200)\n",
+ "plt.show()\n",
+ "\n",
+ "probas = gm.predict_proba(new_point.reshape(1, -1))\n",
+ "\n",
+ "print(\"Proba new point in blue cluster = \", probas[0][0])\n",
+ "print(\"Proba new point in orange cluster = \", probas[0][1])\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8a083be9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "- How many parameters do we need to estimate for a GMM with $K$ components on data in dimension $N$?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d52ccd83",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "- How many parameters do we need to estimate for a GMM with $K$ components on data in dimension $N$?\n",
+ "\n",
+ "$$n_{params} = K \\frac{N^2 + N}{2}$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "31465c4f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "To reduce this number of parameters, we can place constraints on the Covariance matrices\n",
+ "\n",
+ "- No constraint: _covariance_type=\"full\"_\n",
+ "$$n_{params} = K \\frac{N^2 + N}{2}$$\n",
+ "\n",
+ "- Force all components to share same covariance matrix: _covariance_type=\"tied\"_\n",
+ "$$n_{params} = \\;\\; ?$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c9ad72db",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "To reduce this number of parameters, we can place constraints on the Covariance matrices\n",
+ "\n",
+ "- No constraint: _covariance_type=\"full\"_\n",
+ "$$n_{params} = K \\frac{N^2 + 3N}{2}$$\n",
+ "\n",
+ "- Force all components to share same covariance matrix: _covariance_type=\"tied\"_\n",
+ "$$n_{params} = \\frac{N^2 + 3N}{2}$$\n",
+ "\n",
+ "- Force diagonal covariance matrices: _covariance_type=\"diag\"_\n",
+ "$$n_{params} = \\;\\; ?$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4a5e49cd",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "To reduce this number of parameters, we can place constraints on the Covariance matrices\n",
+ "\n",
+ "- No constraint: _covariance_type=\"full\"_\n",
+ "$$n_{params} = K \\frac{N^2 + 3N}{2}$$\n",
+ "\n",
+ "- Force all components to share same covariance matrix: _covariance_type=\"tied\"_\n",
+ "$$n_{params} = \\frac{N^2 + 3N}{2}$$\n",
+ "\n",
+ "- Force diagonal covariance matrices: _covariance_type=\"diag\"_\n",
+ "$$n_{params} = 2KN$$\n",
+ "\n",
+ "- Force covariance matrix to be diagonal, all dimensions with equal variance: _covariance_type=\"spherical\"_\n",
+ "$$n_{params} = \\;\\; ?$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "01254e31",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "To reduce this number of parameters, we can place constraints on the Covariance matrices\n",
+ "\n",
+ "- No constraint: _covariance_type=\"full\"_\n",
+ "\n",
+ "$$n_{params} = K \\frac{N^2 + 3N}{2}$$\n",
+ "\n",
+ "\n",
+ "- Force all components to share same covariance matrix: _covariance_type=\"tied\"_\n",
+ "\n",
+ "$$n_{params} = \\frac{N^2 + 3N}{2}$$\n",
+ "\n",
+ "\n",
+ "- Force diagonal covariance matrices: _covariance_type=\"diag\"_\n",
+ "\n",
+ "$$n_{params} = 2KN$$\n",
+ "\n",
+ "\n",
+ "- Force covariance matrix to be diagonal, all dimensions with equal variance: _covariance_type=\"spherical\"_\n",
+ "\n",
+ "$$n_{params} = \\;\\; K(N+1)$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d262990f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 1:__ Can we use _diag_?, _tied_? _spherical_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "id": "42f02614",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([4.5, 4.5])]\n",
+ "covariance = [np.array([[0.1, 0], [0, 0.1]]), np.array([[2, 0], [0, 2]])]\n",
+ "n_points = 500\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance[i], size=n_points)\n",
+ " for i in range(2)\n",
+ "]\n",
+ "data = np.r_[data[0], data[1]]\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.axis([-1, 11, -1, 11])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "7a50c8fb",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example :__ Can we use _diag_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "id": "14578c29",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "gm = GaussianMixture(n_components=2, covariance_type=\"diag\")\n",
+ "clusters = gm.fit_predict(data)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b0dfbfb3",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 2:__ Can we use _tied_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "id": "f98428b6",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "gm = GaussianMixture(n_components=2, covariance_type=\"tied\")\n",
+ "clusters = gm.fit_predict(data)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e6ead7ef",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 2:__ Can we use _spherical_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "id": "babfc60f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "gm = GaussianMixture(n_components=2, covariance_type=\"spherical\")\n",
+ "clusters = gm.fit_predict(data)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "867ab7a2",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 2:__ Can we use _diag_?, _tied_? _spherical_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "id": "f18d6086",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([1, 4]), np.array([1, 7])]\n",
+ "covariance = np.array([[5, 0], [0, 0.05]])\n",
+ "n_points = 100\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance, size=n_points)\n",
+ " for i in range(3)\n",
+ "]\n",
+ "all_data = np.r_[data[0], data[1], data[2]]\n",
+ "\n",
+ "sns.scatterplot(x=all_data[:, 0], y=all_data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fc3a2fc2",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 2:__ Can we use _diag_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "id": "3619b61a",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "gm = GaussianMixture(n_components=3, covariance_type=\"diag\", n_init=50)\n",
+ "clusters = gm.fit_predict(all_data)\n",
+ "\n",
+ "sns.scatterplot(x=all_data[:, 0], y=all_data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fa6d0f23",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 2:__ Can we use _tied_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "id": "69dcda32",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "gm = GaussianMixture(n_components=3, covariance_type=\"tied\", n_init=50)\n",
+ "clusters = gm.fit_predict(all_data)\n",
+ "\n",
+ "sns.scatterplot(x=all_data[:, 0], y=all_data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "625a8ba7",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Constraints on the covariance matrices\n",
+ "\n",
+ "__Example 2:__ Can we use _spherical_?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "id": "2201e847",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "gm = GaussianMixture(n_components=3, covariance_type=\"spherical\", n_init=50)\n",
+ "clusters = gm.fit_predict(all_data)\n",
+ "\n",
+ "sns.scatterplot(x=all_data[:, 0], y=all_data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "72aa50d3",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Selecting covariance type / number of components\n",
+ "\n",
+ "- Increasing the number of parameters (number of components/no constraints on covariance) generally results in a higher total likelihood.\n",
+ "\n",
+ "- However, models that are too large are not very informative (e.g., each point its cluster)\n",
+ "\n",
+ "- Hence, we want to find a good __balance__ between __number of parameters__ and __high total likelihood__.\n",
+ "\n",
+ "### The BIC criterion\n",
+ "\n",
+ "$$BIC = -2 \\log(L) + \\log(N)$$\n",
+ "\n",
+ "$L$ total likelihood, $N$ number of parameters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ccb9efb1",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Selecting covariance type / number of components\n",
+ "\n",
+ "__Example 1:__"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 46,
+ "id": "69e56569",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([4.5, 4.5])]\n",
+ "covariance = [np.array([[0.1, 0], [0, 0.1]]), np.array([[2, 0], [0, 2]])]\n",
+ "n_points = 500\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance[i], size=n_points)\n",
+ " for i in range(2)\n",
+ "]\n",
+ "data = np.r_[data[0], data[1]]\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.axis([-1, 11, -1, 11])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "id": "aafff2c4",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "spherical__2 5475.201351795416\n"
+ ]
+ }
+ ],
+ "source": [
+ "n_components_range = range(1, 5)\n",
+ "cv_types = [\"spherical\", \"tied\", \"diag\", \"full\"]\n",
+ "\n",
+ "bic = []\n",
+ "names = []\n",
+ "for cv in cv_types:\n",
+ " for n_comp in n_components_range:\n",
+ " names.append(cv + \"__\" + str(n_comp))\n",
+ " gmm = GaussianMixture(n_components=n_comp, covariance_type=cv)\n",
+ " gmm.fit(data)\n",
+ " bic.append(gmm.bic(data))\n",
+ "\n",
+ "index = np.argmin(bic)\n",
+ "print(names[index], bic[index])\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4bb70f17",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Selecting covariance type / number of components\n",
+ "\n",
+ "__Example 2:__"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 48,
+ "id": "c3d414c7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([1, 1]), np.array([1, 4]), np.array([1, 7])]\n",
+ "covariance = np.array([[5, 0], [0, 0.05]])\n",
+ "n_points = 100\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance, size=n_points)\n",
+ " for i in range(3)\n",
+ "]\n",
+ "all_data = np.r_[data[0], data[1], data[2]]\n",
+ "\n",
+ "sns.scatterplot(x=all_data[:, 0], y=all_data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 49,
+ "id": "dade282e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "tied__3 1941.9421774610244\n"
+ ]
+ }
+ ],
+ "source": [
+ "n_components_range = range(1, 5)\n",
+ "cv_types = [\"spherical\", \"tied\", \"diag\", \"full\"]\n",
+ "\n",
+ "bic = []\n",
+ "names = []\n",
+ "for cv in cv_types:\n",
+ " for n_comp in n_components_range:\n",
+ " names.append(cv + \"__\" + str(n_comp))\n",
+ " gmm = GaussianMixture(n_components=n_comp, covariance_type=cv)\n",
+ " gmm.fit(all_data)\n",
+ " bic.append(gmm.bic(all_data))\n",
+ "\n",
+ "index = np.argmin(bic)\n",
+ "print(names[index], bic[index])\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "celltoolbar": "Slideshow",
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "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": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
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diff --git a/tp/clustering/intro.ipynb b/tp/clustering/intro.ipynb
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--- /dev/null
+++ b/tp/clustering/intro.ipynb
@@ -0,0 +1,1006 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "f3218f39",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from IPython.core.display import HTML\n",
+ "\n",
+ "HTML(\n",
+ " \"\"\"\n",
+ "\n",
+ "\"\"\"\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5d92ea1e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "# Introduction to clustering\n",
+ "\n",
+ "## Outline\n",
+ "\n",
+ "- What is clustering?\n",
+ "- Why is it used?\n",
+ "- How to evaluate it?\n",
+ "- How to choose a clustering algorithm?\n",
+ "\n",
+ "_Question: What do you know about machine learning / data science?_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8c3562e9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## What is clustering?\n",
+ "\n",
+ "__Wikipedia__: \"Cluster analysis is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).\"\n",
+ "\n",
+ "### Example 1: How would you group objects in the following example?\n",
+ " \n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "13f28171",
+ "metadata": {},
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3628e5cd",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## What is clustering?\n",
+ "\n",
+ "__Wikipedia__: \"Cluster analysis is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).\"\n",
+ "\n",
+ "### Example 1: Classification based on shape and color features\n",
+ " \n",
+ "\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5284963b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## What is clustering?\n",
+ "\n",
+ "### Clustering is Unsupervised Classification\n",
+ "\n",
+ "A clustering problem is defined by a set of data points on which we don't know the labels, but that we want to group together in a smart way."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5afb7fd9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## What is clustering?\n",
+ "\n",
+ "### Toy data generation\n",
+ "\n",
+ "Let's generate an unsupervised dataset in 2D, composed of three natural clusters coming from different multivariate Gaussian distributions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "07379552",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "from sklearn.datasets import make_blobs, make_moons\n",
+ "\n",
+ "plt.rcParams[\"figure.figsize\"] = (8, 8)\n",
+ "sns.set_theme()\n",
+ "sns.set_context(\"talk\")\n",
+ "\n",
+ "n_points = 100\n",
+ "data, labels = make_blobs(\n",
+ " n_samples=n_points, n_features=2, centers=3, cluster_std=1, center_box=[-10, 10]\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6a08cb2a",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## What is clustering?\n",
+ "\n",
+ "### Clustering problem\n",
+ "\n",
+ "A set of unlabeled data points"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "382785f6",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "44fe3c81",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## What is clustering?\n",
+ "\n",
+ "### Objective of clustering\n",
+ "\n",
+ "The objective of a clustering algorithm is to retrieve the intrinsic clusters in the unsupervised data. In other words, which data point come from which distribution."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "44f55473",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2e139f0b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Features used for clustering\n",
+ "\n",
+ "### Example 2: How would you group objects in the following example?\n",
+ " \n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c1565bcd",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Feature used for clustering\n",
+ "\n",
+ "\n",
+ "### Example 2: Classification based on semantic features\n",
+ " \n",
+ "\n",
+ " \n",
+ "\n",
+ "Why not classifying objects based on their size/weight/color? Such classifications could also be useful for different applications.\n",
+ "\n",
+ "$\\rightarrow$ __The choice of the characteristics, as well as the distance metrics used to compute clustering is paramount and can change drastically the results. These choices are application dependant.__"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c9ff2a1e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "source": [
+ "## Take-home messages\n",
+ "\n",
+ "* The classification resulting from clustering depends on the __features__ used to represent entities."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f52c1c55",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Why do we use clustering?\n",
+ "\n",
+ "### Unsupervised robotic sorting\n",
+ "[video1](https://www.youtube.com/watch?v=NpZIwY3H-gE)\n",
+ "\n",
+ "[video2](https://www.youtube.com/watch?v=korkcYs1EHM)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6be005a3",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Why do we use clustering?\n",
+ "\n",
+ "### Recommender systems\n",
+ "\n",
+ " \n",
+ "\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3503f8d9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Why do we use clustering?\n",
+ "\n",
+ "### Image segmentation: Tumor identification\n",
+ "\n",
+ " \n",
+ "\n",
+ " \n",
+ "\n",
+ "_source: https://www.mathworks.com/matlabcentral/fileexchange/27022-image-segmentation-using-fuzzy-c-means-with-two-image-inputs_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8b022889",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Why do we use clustering?\n",
+ "\n",
+ "### Image segmentation: Ecological studies\n",
+ "\n",
+ " \n",
+ "\n",
+ " \n",
+ "\n",
+ "_source: https://www.kdnuggets.com/2019/08/introduction-image-segmentation-k-means-clustering.html_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "dbebfe62",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## Why do we use clustering?\n",
+ "\n",
+ "### Epidemiology: Covid contaminations prediction\n",
+ " \n",
+ "> Pereira, I. G., Guerin, J. M., Silva Júnior, A. G., Garcia, G. S., Piscitelli, P., Miani, A., ... & Gonçalves, L. M. G. (2020). _Forecasting Covid-19 dynamics in Brazil: a data driven approach._ International Journal of Environmental Research and Public Health, 17(14), 5115."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ebfa4500",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## How do we evaluate clustering results?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "727d66f4",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Internal metric:\n",
+ "\n",
+ "- Silhouette coefficient\n",
+ "- Davies–Bouldin index\n",
+ "- Dunn Index"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2df07841",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Example internal metric: Silhouette coefficient\n",
+ "\n",
+ "For a point $x_i$, which is associated to cluster $C(i)$, we note $a(i)$ the mean distance between $x_i$ and other points in $C(i)$:\\\n",
+ "$$a(i)=\\frac{1}{|C(i)|-1} \\sum_{j \\in C(i), j \\neq i} d(x_i, x_j)$$\\\n",
+ "and we note $b(i)$ the mean distance between $x_i$ and the points of the closest other cluster:\\\n",
+ "$$b(i)=\\min_{k \\neq C(i)} \\frac{1}{|C_k|}\\sum_{j\\in C_k} d(x_i, x_j)$$\n",
+ "Then, the silhouette for point $x_i$ is:\n",
+ "$$s(i) = \\frac{b(i)-a(i)}{max(a(i), b(i))}$$\n",
+ "And the silhouette for the entire dataset is\n",
+ "$$S = \\frac{1}{K} \\sum_{k=1}^K \\frac{1}{|C_k|} \\sum_{i \\in C_k} s(i)$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "db712288",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Visualize silhouette: correct clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "205e9450",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import silhouette_score\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6e34f696",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Visualize silhouette: random clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "33081e44",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "random_clusters = np.random.randint(0, 3, n_points)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=random_clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "71dafea5",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Visualize silhouette: only two clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "197f0652",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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KSKOvXVcexpbmfavw/PIh7g3zUQ1MnFQ4uDfMx/PLh60bWBKkRJf+//3f/9GmTZs6x0aPHs1hhx3GI488wt13352kyIQQqcZyaeasKufip74G4gMPd5Q7Y45Dcy7vb1uaH4pD3P7uEhavraBfhzxO3KcrFx/cm5vfXMSAbaYrJrJvj0IspWh4Lz3RXHKWvIxRurZFn4hRmpwlLxPpcVgrRtb6UiLhb5/sAfLz89ljjz1Yu3ZtEiISQqSqkAOvfbuauycOJ+hz0yE/hysO7cMjn/xIVaR+t2z3Ij85loZmGiTnWJo3vlvH399YxKieRfz71OFUh2NsqAzjcWn+fepeFFeG6VLgY1VpqN7rvW7Nr4d2IhbN/C7kVKCrN8af2TfGOOjQptYJKIlSIuEnUlxczNKlSzn22GN3+T2UgmAwtfekcm1+jpfqce4MqVN6SNc6rauMMLRrATe/uYg1ZTXkuDS/2asLj50zkquen1svyf7p6AG0z89ptgFyG6oiTHnrew4f2J6T9unG716YS2l1tLZ8QMc8/t8JQ7nn9OFc+dxcft5mpb5Cv5tHztqHtrkerAa2H04kXT+rxjRWp4oKi1jMbpZtlk1uW9gyUK8hSmP8bZtpW+f4e1hNGKKxZfyeZakmXVvr+M+tod+DHQ1VScmEb4zhhhtuwHEczjvvvGSHI4RIEdVRh6mf/8yDHy2vPRaOOTz/1Qpm/7iJW08aysSHZgPx5PqnYwYyqmdRsyV7pWDOzyUoBReO6c2Zj8wmvN0c/e/XVvD7/37L/5swhFd+ewDl4SjfrSqnyO+hZ9tcCnwudBMHEYrdF+k/gZwl0xo9RxmHyIAJrRRR8qRkwv/Xv/7Fu+++y5QpU+jdu/cuv48xUFZWv0stlWy5U0v1OHeG1Ck9pGOdQkrz8MfLE5b9tKma5RureGvyQSgg4LHwabBDEZqrii6XpjwU5fCBHZj+3dp6yR4g3+vikkN6E7ENt0xfjAF+s1dn9ijy4YrFqCjf+Sf36fhZ7UhjdYpsfjRjN8OugnbXQ/C2G4Jrw3cJB+4ZFLF2g6npcjA0w/W2tOwbi/2DD94FYNGihQDMmTOH4uISvF4f++9/YIOvc5z4z6ah34M2bQKNtvJTLuHfcccdPProo1x//fVMmJD5d1xCiKaxLM23v5TS2Mq0r3y9ioP6tKVjXg5lZaHmemxfy7YdRnQvZHVZDXN+LqlX7rE095w2grveW8pX25Q/9+UK9uoW5D+njcC1g4V8RDPTFmXjpiach6+MQ6zdYMrGTW3VxXduuOHaOv9+9NEHAejYsRMvvvhai103pRL+nXfeyf33388f/vAHJk2alOxwhBApxtlB37xj4pvh7CylFB6PhTHx1QUbap0ZA4U+F4V+N0W5nnrlxwzpxHvfr6+T7LeYu6KM+z9azuVjemJ2ZWF+scuMvy2lJ76+daW90CYcX5ukrLQH8MknX7Xq9bZImYR/zz33cN999zF58mTOP//8ZIcjhEgxtu0wrGsBSjU8De83e3UiP2fnvtZilmZ9ZYSXPv2JqnCMcUM60b9DHjnGSbg6n9tx+PXQzvRpn8dbC+rOIvr1sE5Mfm5ug9d6/qsVnD+6J97N/9ZaEVOK2ObL5GjkZqClaItIj8MyfupdY1Ii4T/66KPcfffdjB07lgMOOKDOYjsej4dBgwYlLzghRMrwWYrT9u3O01/8Uq+sU9DL4QM77NT72S6Lv7+xiDe3Sdwvfb2Knm1zefKcffGp+CDibRkDrliM/h0CnLpvN577ckVtmdvSCVf826Im6hCxHfwuhW1gXY3Nre8s5uMfNuKx4rMNLjq4FwFlmuX5tRDbSomE/8EHH9T+/5b/3qJLly68//77yQhLCJFitO1w+djedCrw8vAnP1JaHcXSisMHtuf6owfi3Ynh+C6X5p3F6+sk+y1+3FjFDf/7jv83fk90gsRrDLhjNpPH9mb8sM489PGPrK+sITfHIt/rorwmcdL3eyzWlNVg5+VQUh3ltIdnY2/uRYjaNk9/8QtvfbeWVy85AL8ysta+aFYpkfCnTp2a7BCEEGnCitmcNrwzvxnWmXDMwW1pvDq+69/OtIqrHfjPzMQj/gFmLtlAxEDApTGGhDsHumyHfoVe/jl+EDFj8Lo1Z+6/B/d+sCzhe04Y3oVp367mwN5tufO9pbXJflvFVRH+M3MZvx/bG6R7XzSjlFhLXwghdoYdc8hxHPI1+IyDsp16Xe87pEi4Eh5A56CXu04dzrqKMK98t45Pfi4lbGksj4Unx4XbvXWQl+MYlO3gdgxOxOaMUd05qG/9ndf27VHIrwZ34n9zV9MuL4cfN1Y1GNqr36wmLK170cxSooUvhBCtzsAeRX5+2mYlPICO+V7+fepwrn9lPkvXV9Ye91iam34zGMcYwlGbQwe0x6cMZnOvgtaKGqW59/0fOG5YZ846oAcfLdmAUnDskE6sLAnx26fmEI45CVv22wpn+dQ9rTW2Hd3xiVnEGIPj2FjWrqdtaeELIbJSrqW45JD6C3tdeURf/vrad3WSPUDEdvjjy/PoUujjjveWcuS/P+bn8gh68xK5YaWZ9NgXPPPFCv7w4jz++OI81pbVsLashhfnrGRDRZiKzQP6Yo4h6HM3GNuBvduQzZvnut1uYrEoVVXlyQ4lJRjjUFlZhm1H8Xp3fXllaeELIbJSNGozpk9bThzRlRe/XgmAz23ROejju9WJE40x8MKXK/jNXl14/LOfOOeJL3nz8tHkuhSzfyll2Yat3fSbqiK8s3Bd7b+fuWAUPrdFKGrz369WcMVhffj764vqXUMruOZXA3Ab08CGrpkvNzdINBqloqKEUKgSpdLn9mfL+vjNteiTMQ62HcMYB6/Xj8+Xu8vvJQlfCJG1rJjN1Yf14YKDevLavNV4XJqKmsa7kr9fW8GpIwsAKA/F+H5tBcO75PPS16safd1XP5UwsFMeX/9SStDn5ug9O4KBO99fSnko3vLvVuTjr8ftSYHPTVSBRXY+yFdKUVDQlqqqMqLRKE5zL5nYgrZsChRJsHPjrrAsC7fbg8+Xi8fj3fELGiEJXwiR1SzHoY1bccF+3VFKsboqyuTD+qIVfPVzCZ/8sLHO9LgO+d46u+P9uLGavbsGd7xTmVYM6VLAVYf3o2/bXKyYzfGDO3LUnh1ZXVZDJOawqSrM3e/9wDcrSjl9ZHcuH9sbK0uf5yulCAQKkh3GTkvlfQ8k4Qshsp4xEIs5hLXm25WlfLZsI7YDB/dvx2Vj+/DnVxfUPtM/ce+u3PHuktrX9m0fQDmGE/fuyvvfr2/wGkcO6kDApXFjcOx4Erdcile/XMmt7yypd/7TX/xCj7Z+ThjSqZlrK7KVJHwhhABqlObMR75g+TbT5b7+pYT2eTncfdpwLn36a0b3aUdNzK7d475Nroc+7XKJRm326hKkb/tAvcF+ACeM6EKuW2PZTvy5vKWpdgxrysI8/MmPDcb04Ec/cvSeHQkQ35rX5bKwbVsW5BG7REbpCyGynnJpHvx4eZ1kv8X6ijD3f7iMx87elxF7FHDDqwsAyPe5eOLckfhUPPvmGIcnztmX00d1J8cV/2otyvXwx1/15w9H9MO1eeEeZWkWb6rm8Ds+orQ6WufxwPY2VIYxCtZVRnjxm9W8OH8tq0M2UUvv8BGCENuTFr4QIuvVOPDCVysbLP9wyQZuPG5PYrbhjFF7MLx7AXt3L8SLwdmcyB3H4HZsrjqkF78d04uYY3BphV+Dvc1z+BrggifnELUNSoHbUkQbWCHw/349iFe+Wc0d7y6p06of0b2AeyYOxyOtfbETpIUvhMh6jjGEog0PjjMGojGHCYM7cOXBvRjdvQCPbdcm+zrnbl4FMBdDjuNgb7M8rmVpvl1ZVnutDxdv4Kg9Oya8Zt/2Adrn5XD7jCX1kvrXv5Ty19cWYmv5ChdNJ78tQoisZylF18KGFzTJy3HhdWmiUZtIJJZwXf2m0Fqxonjryn7//WoFk/bvQfcif71zzzuoJw9+1PBa/zMWraNmmxX7LEsR05qIpYlojXbJ17uoS7r0hRBZz69h8mF9+cOL8xKWn3NgD3w6vpiKZWkihvhmOZaGnehWt22HgZ3ya/9dXhPjdy/MZcqEISxdV8l7369DoThx7y7svUcRf/3fwgbfyzFQURPDn2PhaM3y0hr+39uL+WZFCQGPi5P37ca5B/TAaxycHSzlK7KDJHwhRNaLxRwO6t2GSw/pzf0fLa9d614pOHFEV07btxtOzCZmWcxZVcbDn/xISXWE4d0LufCgnhS4LVQTFodxHEOfdrm0C+SwoTIMwMqSEGc+8gUjuhewX682nDayG7kKqh1Dh/ycemv9b8vvcaEtxWe/lDL5ubm1xyvCMR755Eemf7eW5y/cD4+TnXP5RV2S8IUQgviqe5NGduOUfbsxb2UZMcdhr64FeC2FtTnZ3/Dad7y7aOtc+2Ubqnjlm1U8cMYI9uqYh2lCV78Pw1PnjeT0R2azsTJSe/y71eVcPrYPORhiMYPfpTl/dE/+PO27hO8zpEsQn6UIATdMW5DwnJUlIV6du4qJw7tgNzJGQWQHSfhCCLGZth18wAHd8gEVf1ZvGyxLM29teZ1kv4XtGK56/lvenjwaTxOuYduGdjmaaZccwOJ1lSxYXU7HoJehXYKEYzYRFD5LEYs5HDagPe8uWs+HSzbUeY+2AQ93nDwMD4ZfKqK1S/Mm8t+vVjJ+SCdydu5HITKQJHwhhNiObRvYZh37KPDwpz81eH5FOMaPm6oZWORr0vNy2za4tcJg+OqnYjZWRli4Jr5hT5cCH1PPHUmBS0HM5ubf7MkvJTU8MesnqiM2Rw7qwCH92uEj/mw+uoNehXAsfdahFy1LEr4QQuxAzDGUNbJADkBJVQTVpmlblyoFJVGb85+cU2/A36rSEOc+8SVPnzsSDwa37TCiW5AhXYZSXR3FpQyxmM2WDvrOQW+jc/nH9m+H11KYmAzcy3Yyb0MIIXbAa2n27VHY6Dn9OuRt7hnYMWVZPPrpTw2O7v9pUzXrKyN1VtNzawW2TWy7FrtHwdkH9Egct1tzwUG9MNLKF0jCF0KIHXJiNmftvwduK/F6tvvuUUh+TtP3bA87Dos2d+E35IcNlegmLKyjbIfzDujB5MP6kOvZGsPATnn898L9yW8gZpF9pEtfCCGaIM+leeKckVz27DcUV20dXb9fryJuO3EYbsdp8u71bq3oHPTy7cqyBs/pHPRimjjB34rZTNqnKyeN6EplxMZtKXyWxqvY5UWCROaRhC+EaHXxrmrV5ISWEmyH/kU+Xrv0ANaUhSmpjtCzbS65Lh1P9jtRF+0Yzj+oF299ty5heaHfTY8iP04T5vZv4cQccoAc1+YWveMgE/HEtqRLXwjRapQVX/r158oo35eECCmNY6XP15BjO3hshx55bkZ0DBDU4NrJZA/xBXi65Odw8Zhe9cq8bs1Dk/YhR3riRTOTFr4QolU4lmbOynKufWVe7bxxreDEvbty1WF9ccXSpz1qDLvdO2HZDmeN6s64oZ2Y+vnPrK+IsE+PAn49tDN+RZMW8RFiZ0jCF0K0OK0VqysjXPrs13VGpjsmvi2t16W5/OBekGWjyV2OQ0evxbWH98U2BkspYlG7yWMBhNgZ6dOXJoRIW1GluC3BNq9bPPflSmqyK9fXMoZ4ko85xGT5W9GCJOELIVpczMCcn0saLI/YDqWhxhe2EULsHkn4QohWke9zN1rudTV9Hvv2rM17wK8L23y6vJjlm6qJao3WMvJNiC3kGb4QosX5NZw+qju3vrMkYXnPtrn43Zs3nN9JlqXYELG5aOqcOlvJ9u+Qx/1njCBoqSavgCdEJpMWvhCixdkxhwnDu9C3faBeWY5Lc9tJQ/Hv4rdRCMXEh2bX2zd+8boKTn94NiGklS8ESAtfCNFKchyHJ87ZlxkL1/HMFyuojsYY06cd5x/Uk7zN28HuLJdLM3NZcZ2V77a1uqyGJesqGdYhV1r5IutJwhdCtArHMbgdm+MGtefw/u0wsHkXNwezi8lYac3M7faK396nyzYxonMeti0j4EV2k4QvhGhVsZiDZ/N/7+6WrQpoG8hp9Jy2AU+D0wGFyCbyDF8Ikbai0Rin7NutwXKl4Fd7diS6E/PbtVZ1tqUVIlNIwhdCpC1joMBjccFBPROWX3NUf7xN+JbTWhHVmvURhzlrKlhVHSMi0/pEhpEufSFEWrMch/P234ND+rXjPzOXsbIkRM+2uVx6SB+6BnOwdrAmvWUpymy4cOpXLF1fWXu8a6GPh8/cm3ZeF46say8ygCR8IUTas2yHAUU+bp0wBGVpclwauybapEQdQnH6w5+zoTJM0OemMhzDdgwrS0Kc8tBs3rx8dO2YAyHSmSR8IURGcByDhSG4eRBfWXXiqXrb0lqxqjTE1Uf1p20gh7JQlPZ5OcxbVcb9Hy5jU1WEHzZU0KddHuU1UZRS5OVY+FR8bQEh0okkfCFE1nK7LVyWxd3v/8CPG6tqj+/Xq4j7zhjBkrUVLFlXxeXPza3d0rddIIe/Hrcne3fJQzsy/F+kDxm0J4TIWuUxw9mPfVEn2QN8vryY179djaUV/3hzUW2yB9hQGeaSZ77mh+IQliVfoSJ9pMxva1VVFTfddBOjR49m6NChTJgwgffeey/ZYQkhMpTLrXl7wVrKa2IJyw/o05Z/v7u0wdff/Nb31EgDX6SRlEn4l112Ga+99hqTJ0/mgQceoE+fPlx22WXMnDkz2aEJITJQ1MDMpQ2v0pfrcbG+Itxg+Xery9nNdYOEaFUp8Qx/5syZfPbZZ9xzzz0cccQRAOy3336sWLGCf/7znxx88MFJjlAIkWkspcj3NvwVaO1gDr6lFVoBkvRFmkiJFv6MGTPIy8vjsMMOqz2mlOL4449n+fLl/PDDD0mMTgiRkWyHs/bv0WDxD+srGNY12GD5r/bsgEfW5RFpJCVa+EuXLqVPnz5oXff+o3///gAsWbKEPn367PT7KgXBoK9ZYmwpLpcFpH6cO0PqlB4ysU6wc/Xq6XFxzJCOvDl/bb2yfK+bm48fwoT/fEZ4uyl4QZ+ba44aQMEO1vFvLpn4WWVinSC59drRktApkfBLS0vp0aNHvePBYLC2XAghmlswx8Vfj9uTcUM6c/9Hy1hXXkP/jnlceVg/erbx43Vp3pp8EHe+t5R3F67DshTHDe3MRQf3pn2uLMcj0ktKJHyId+HvSlljjIGystCuhtQqttwFpnqcO0PqlB4ysU6wa/Xav1s+e00cjmMMbq1wGUMsFKESyFfw5yP784cj+gHg1WBiNuXlrfdzy8TPKhPrBMmtV5s2gUZb+SmR8AsKChK24svKyoCtLX0hhGgJsZiDe8s/bMO2HfjGALbNls57IwvsiTSVEoP2+vTpw7Jly3Ccun9JS5YsAaBfv37JCEsIIYTIGCmR8I844gjKy8t5//336xx/9dVX6dmz5y4N2BNCCCHEVinRpX/wwQczatQorr/+ekpLS+natSuvvvoqc+bM4b777kt2eEIIIUTaS4mEr5Tivvvu4/bbb+eOO+6gvLycPn36cM8993DooYcmOzwhhBAi7SljTMauE+U4hk2bKpMdRqMycaSq1Ck9ZGKdIDPrJXVKH8kepa8bWSEyJZ7hCyGEEKJlScIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILSMIXQgghsoAkfCGEECILuJIdwPTp03nrrbeYP38+GzZsoG3btuy7775cfvnldO3aNdnhCSGEEBkh6Qn/4Ycfpm3btlx66aV07dqVVatW8Z///IcJEybw0ksv0a1bt2SHKIQQQqS9pCf8+++/nzZt2tQ5ts8++3DEEUfw9NNPc+211yYpMiGEECJzJP0Z/vbJHqBbt24UFhaydu3aJEQkhBBCZJ6kJ/xElixZQnFxMX379k12KEIIIURGUMYYk+wgthWJRDj99NP55ZdfeOuttygqKtrl9zLGEI3azRhd83O5LABisdSOc2dIndJDJtYJMrNeUqf0kcx6ud0WSqkGy5v1Gf7s2bOZNGlSk86dNWtWvWRu2zbXXHMNixYt4oEHHtitZC+EEEKIrZo14ffq1YspU6Y06dxAIFDn347j8Kc//YkZM2Zwxx13cOCBB+52PMZAWVlot9+nJQWDPiD149wZUqf0kIl1gsysl9QpfSSzXm3aBGikgd+8Cb9du3ZMmDBhp1/nOA7XXXcdr7/+OrfccgtHHnlkc4YlhBBCZL2kT8szxvDnP/+ZadOmMWXKFI499thkhySEEEJknKQn/JtuuomXXnqJk08+mR49ejB37tzaskAgQJ8+fZIXnBBCCJEhkp7wP/jgAwBeeOEFXnjhhTplI0eOZOrUqckISwghhMgoSU/477//frJDEEIIITJeSi68I4QQQojmJQlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAIpl/CvvfZa+vfvzyWXXJLsUIQQQoiMkVIJ/9NPP2X69OkEAoFkhyKEEEJklJRJ+FVVVdxwww1cfvnlBIPBZIcjhBBCZJSUSfi33347wWCQs846K9mhCCGEEBnHlewAAL7++muef/55nnvuOSzLarb3VQqCQV+zvV9LcLni9U31OHeG1Ck9ZGKdIDPrJXVKH8msl1KNlye9hR+JRLj++us5/fTTGTx4cLLDEUIIITJSs7bwZ8+ezaRJk5p07qxZsygqKuKee+4hHA4zefLk5gwFAGOgrCzU7O/bnLbcBaZ6nDtD6pQeMrFOkJn1kjqlj2TWq02bQKOt/GZN+L169WLKlClNOjcQCLBs2TIeeeQR/vnPfxKLxSgvLwfAcZzaf3u9XjweT3OGKYQQQmSdZk347dq1Y8KECU0+/8cffyQWi3H11VfXK1uzZg377rsvN954IxMnTmzOMIUQQoisk9RBeyNGjODJJ5+sd/x3v/sd3bt358orr6RHjx6tH5gQQgiRYZKa8IuKihg1alS94zk5ORQWFiYsE0IIIcTOS/oofSGEEEK0vJSYh7+9999/P9khCCGEEBlFWvhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFnAlOwDR8nwuG6+pQMVCGJeXsMolZHswJtmRCSGEaC2S8DOYUlDgqsT65FbU3KcgVgPawhrwa7xH3ESpU4jjSNYXQohsIF36GSxPV2L972LUVw/Hkz2AY6MWvor11HjydVlyAxRCCNFqJOFnKKXAFVqPWv5h4hM2LcNa8w2WJb8CQgiRDeTbPkO5XBZq6TuNnqPnP49b260UkRBCiGSShJ/JXO5Gi43ljncFCCGEyHiS8DNUNGpj+h7d6DnO8LOIxCThCyFENpCEn8Ei7gLMsNMSlplu+2MX9ZNR+kIIkSUk4WewSttPdOyNOL+6BfI7xw/6CnHGXIN9wmOU24HkBiiEEKLVyDz8DFcW9eMecDr+fseijY1RmmoVJBJNdmRCCCFakyT8LBCNOpSRn+wwhBBCJJF06QshhBBZQBK+EEIIkQUk4QshhBBZQBJ+FtNa5uALIUS2kEF7WUYpRUBX4bbLYdMv4C/C8benkiAxW+bkCyFEppKEn0WUUhRYZVjTLkb99FHtcSu/M8ETn6Ai0J+ILZ0+QgiRiVLm23369OlMnDiR4cOHM3z4cH7zm9/w7rvvJjusjJKnK7BeOrtOsgegfDV66nEETElyAhNCCNHiUqKFf++993L//fdz1llnccUVVxCLxViyZAk1NTXJDi1jKAWu8CbUyi8SnxANob55kpx9riQclWf7QgiRaZKe8OfNm8c999zDbbfdxjHHHFN7/KCDDkpiVJlHa41a823j5/w0E9fwiwjjb6WohBBCtJakd+k/88wzdOrUqU6yF83PGAO+osZP8hZgdNLvAYUQQrQAZYxJ6tDsww47jIEDB7LPPvvwxBNPsHbtWjp37sxpp53Gueeei9qN/dqNMUSjdjNG2/xcLguAWKzl43SF1qHv2RuioYTl5oxXiHYfs/vXacU6tRapU/rIxHpJndJHMuvldluN5sykN+fWr19PaWkp8+bN46qrrqJjx47MmDGDf/3rX5SXl3PVVVclO8SMYXsKUOPvQ710Lmx3n2f6H4PpMDhJkQkhhGhpzdrCnz17NpMmTWrSubNmzaKoqIjBgwcTjUZ5/vnn2WuvvWrLr7jiCj788ENmzZpFbm7uLsXjOIZNmyp36bWtJRj0AVBWlrjV3dx8VgRfeDX641tRa+ZCblvs/a/A7jyKstiu/Zy319p1ag1Sp/SRifWSOqWPZNarTZtAowuqNWsLv1evXkyZMqVJ5wYC8b3YCwoKCIVCdZI9wJgxY5g+fTrLli1j6NChzRlmVgvZHmrcPfEdfjsuU4OjXNSoALGYk+zQhBBCtKBmTfjt2rVjwoQJO/Wafv368e239UePb+l42J1n+CIxYwzVtgfwbD4iyV4IITJd0kfpH3HEEVRWVjJnzpw6xz/66CP8fj99+/ZNUmRCCCFE5kj6oL0TTjiB5557jsmTJzN58mQ6derEO++8wzvvvMPVV1+N1+tNdohCCCFE2kt6wvd4PDz22GPcdttt3HbbbVRWVtKjRw9uuukmTjrppGSHJ4QQQmSEpM/Db0kySj85pE7pIRPrBJlZL6lT+kjlUfpJf4YvhBBCiJYnCV8IIYTIAkl/hi/Sl1Lgt8LkOFUQrcK4c4noXMCX7NCEEEJsRxK+2CVaKwp0Cfrta1BL3gbjgNJYA8bBr/5J1Nch2SEKIYTYhiR8sUvydTnW0xNg45KtB42DWvQ/KF6G6/RXQLbZFUKIlCHP8MVOsyyF3riwbrLf1rrvUMU/NDpaVAghROuShJ9ilCLlE6XLZaG/e6Xxkxb9r3abSCGEEMknXfopwmVBgHJ05Sqo3gRFvYi6glQ6AVJyqQT3DgbmuX1ACsYthBBZShJ+ClBOhGD5AvR/z4SqDbXHdfcDcB//ECV2AcYYtFZ4VRhtItjaR41tbb+tfauIRGycYadjfflQwycNOYlo1G69oIQQQjRKuvRTgKt6Pfqp8XWSPYD65TP0S2eTpyvIc1VTUPYN/rcuxvffk8j98E8UxlbgsyJNuobWioAVolCXUKiLybOqsKxd+/iNMcT8nTADj0tcPuQknNwOSbkZEUIIkZi08JNMmxh89TDEwgnL1covcZsQfHYP+qtHth5fOx9r3rP4JzyK02UsYbvhj9Jj2QTCK9HT/4T66SMAXJ1H4Dnqn1Tl9aHG9jT42oaU27kEj7oFV48x6M/uhLIVULAHzuirYMA4bE8BhDJryUwhhEhnkvCTTEUqUT992vAJgfaoitWobZJ9LWPQ0y4m99I5hClI+HKtFYHIKqxHDq17U7H6a/TjR5F75v+IFe5NLObUj02B14qRY6oBiJJDteOtHVNQFs3F3W8i/r7HoJXBMYpqVYDfk9Pk+gshRKqyLI3WCscx2Hb978h0Iwk/yYzlBl9hwyf0PxbmPN5weSwMK2bj2eNYfHYx2omAtgiTS8jJwadC6Bl/TtyDYAz6ravxT5xGhQrgcSm0iRHDjXEc8s1G9MxbUN+9Ak4UV58jyBn7Fyo9nYjY8RH40ZihjPxt3jT9/yiEENnNbdkEVAVqxeeojUsxHfbEdN6bShMknYcmScJPMseVi9n/MtSy9xKf4C9ClfzY6HuoynXkbfoC/fqVULwctIXVfxzew27EaB9q+QcNv3jjUtxEKAwvQ3/6KKpqHU7Pg1H9j0a9/UdYOn3rdRa/ifXDDAJnv01Z7sCMuOMVQohteSybvNL56GdPhmj11gJvkLwzXqHC3y9tk74M2ksBpsNgzIBf1y9QGqfPUTjdD2z09arDIPTL58eTPYBjoxZNw3rsCCwTAd3Ifd2v/omafR/WQwejvnkClrwdf9Z//2gYdSF0HlH3fDuK9caV5FK+k7UUQojUF6Ac/cwJdZM9QE0Z1tTxBChNSlzNQRJ+CojlFBE96lacU56B7vtD276YoadgX/QpVXl9MENObnjee5s+qHA5VK6vX1a1EeY8gTno6sSvLegO+Z1Rs++vXxaphGmXwUG/q1+2dj4uu7r+cSGESGNut4X6/n8NDqImHO/md7nSM3WmZ9QZqCyWS2mHQ6j+zZPUTPwfVWP/SYmrGzW2hwpViHPm/yC3bd0XtR+EmfgcvHNDg++rFrwIe05I3MoffAJmzhMNB1WxJv7/icYYOLEm1EoIIdKHpQx69deNnqPWfIPW6Zk65Rl+CrFth6otW8tu83g8amvKAgMInDcTXfZLPBG37YPtbYdVvQ6r9OeG39Q4xCwf+uy3sd66GtbMjR9v2xez5wmoJdMbfi1Axdp4wg+VbD2W1xHHHYA0fY4lhBCJOCicoj6Nt4Tb9MFx0nOREUn4aSJmK0oJovKGooNDcRyDsaHQb8e7+6OJ57w7g8YT0kFigSL8Jz2P26kGY7AtHzHLj6/9nqj1Cxu+cOEe9RYEcsbeQLUKkmjpXI/HQhsb09i4ASGESEGRiI0Zeip8/C8SrhxmuTG9DycWS8/WTnr2S2QxYwy2bWp/F0MqgDPmj4lP9hZg9r2QcFRh2w4Vdi7Fph3FtKfMzqM66sI5YHLDF2s/EMKVEK6I/9tfhDPuTsI9jyQSq/vH4LdqKHJWk/f5P3D97yJcXz9CkVWK20rPO2EhRHaq1kGc4/4TX4hkW9rCOfFJqshLTmDNQJmU3JmleTiOYdOmymSH0ahgMN6FX1a266vS5bmq8Sx7Gz1zSry7XylMr0Nxjvon5a7OxOyGP2K/Fcb301vo1yeDs81da8EeOGe+SszyY4XLwDg4njyqVT6RWN0/hFyrBu93U9Hv/bXum3tysSe9Trm/L2l6Q1yrOT6nVJOJdYLMrJfUqXX5rAg+uwQ1dyp64xKcDkMwQydSrQuoaWRVU0huvdq0CTS626ok/CRrrl8Ot1uT65Si7BBoNxHlJ2R8TXrW5LWi+KlELf8QKtdhuo/CKehNBUHsRm4WAJRSFIaXYT00JvEJ/jZEz/+IclOAMaTmzn9NkMpfTrsqE+sEmVkvqVNyeDway8SwcRNp4uT7VE748qA1Q0SjDqXkA/nbDPhrWnKtsd3UUIir9wkoFe/+d2zTpNd7XTH0zHsaPqF6E66SpRSgQFmYwp5UmUDtSn1CCJGqIhGH+JPvNO+i3EwSfiuzLI3LpTHGtMr2sUop/DqEx1ShYmGM209I5VETq59wE62nvyPaiaBKf2o8hjVzsRa8DGvnQU4eecf+m+quhxCyZc19IYRoLZLwW4llKfJUOda6b1FL3sb4izBDToFIe2xP/o7fYBevGTSb0G/9AfXDO/FRp24fucMn4T3gKkqjgd2+hq1yMO0GolZ80fBJhT2hcm38v8MV6JfPw3fee4T9A9J2eosQQqQbGaXfCrRWBM0G3I8fiX7uVNTXj6M/uR3rP6PQH/8LK1LaItfNV2VYTx6LWjp96xSTaAj9xQO43ryKPKtqt68RtjXOyN/WH9FaG0QX0Fa9lQD1BzfhU7JanxBCtBZJ+K0gV1VivXxufM/47ajZ/0Gv/hrLat6PwuXS6B8/THhNALXkLdyREnJdYYp0MUU1SygyqwlaFTsVizEQ8rTfPI1lu9fltoPj74cPbq5//VVf4SayM1USQgixG6RLvxW47QpY1fByjeqjf+Gb8DSV+Jvtmh7C6IUvNXqO/mkmvqoNqE9uBxN/fm+17UtwwmNUeHs0eUeokO3B7HEk/svmon54B1W+Errui3J7Yfp1kGhhH18hhoZHkwohhGhekvBbmFJA5cbGTyr5CctEm/W6BgXa3fhJdhS17P14ss/vDENPgUAHrO//R97wsymm6WMLamwPNRTh6nc6gUAOVrgY9dhRsGlZwvOdfc4n1MBqfUIIIZqfdOm3MGOov+nN9gp7YKsdJOedFDEenBFnN3yCUqguw2HdfDj8Rjj6X7DuO/jqEVgzF128hHz3zs8jjcXs+GqAOYXYxz+ceJe/jkNwBp9Ub7U+IYQQLUda+K0gauVhdRnRYLe+GXMNIQLU2TFnN9m2g91hGKrzCFSC3Z/MvhfEF9o54Ir4xjjPn7G1cONS1NJ38Iz9M/4hZ1Nte3f6+sZAhb83eRfPQn1xP3rZe+DOxdnnPJxeh1May0da90II0Xqkhd8KqkwA+/hHIditXpkZdTFO5xHYdvMl+y3K7Hzsk5/BOehq8BbEDxb2wDnuXtjnXPj8Puh1CHx6Z8LXqw9uwmuX7vL1o7am2GlL5X7XUTPxf4ROfI6yXidSEstL2xX3hBAiXUkLvxU4jqHMakfe2dOx1s1DLXkL428Tn4ef2w7bE4RQ8y/DaIyhJBogZ+/J+Iafg8LgoKlWBeSZYqxeY2HpO42+h1rwIp4Rk4lEdn2RoHBME96y4YSTGStWCSFEupGE30ps21BKPlb7Mbg6H4IxhkjEJuhJ8Iy7mYWjijDBbY44VFu55I68CD3vuUZfqyrWoRqaYy+EECJtSJd+K7Nth3A4tlst5uZQY7sJtxmM6TW20fOc3mN3acldIYQQqUUSfharjLixux0QXyAnkdx2mM77tMj4AiGEEK1LEn6WKzdB7LPegKJedQuKemGf9SblpiApcQkhRHOzLE3QqqDIrKXIXkmhVUaOO3sGEMsz/Cxn24YyV1cCZ7yBFVoPZSsh2BXb155KgtK6F0JkBI9lk1exEP3apbBxafygt4DAQVfjGXQyFbHmW+k0VUnCTwKt44PgUmWnONt2KCMPlZOH6tAHYwzGhqauC+ByaXJNKZYdAhSqJoDta9OSIQshRJMppQhE16CfPBbsbVY1rSlFz/gzHscmZ/C5hGOZPUA5JRL+559/zv3338/3339PJBKhe/funHLKKZxyyilonTlPHXxWGB9VsHZ+/ECHIZhYAY4rt8nvobXC5bIAQzRq05zT2Y1hp+fH+60afGu/RL/zJyj5KX6ww2DUsbeTE+hH2E6JXzEhRBbz6TD6vZvrJvtt6I9vwb/nidvNZso8Sf82njVrFueeey777LMPN910Ez6fj3feeYcbb7yR9evXM3ny5GSH2CzyXdW4v7wX/fk9W+eiawsz6hL0gVcCOY2+XilFvlWBVfojetE0jNuL2fMEot72VNhNv2FoTm6Xxrf2C/Tzp9UtWLcA9fjRBM57j6i3b8r0ZAghspOHUHzfkIZEKtHhEnBJwm9R06ZNw+Vy8cADD+D3x5+hHHjggSxdupRp06ZlRML3uBTuJa+hP9tuRTvHRs26Gwq64el3eoNryysFBa5yrOcnotbMjR8D+PTf6IHj0Uf9i7Jo6yd9vylFT782caFjo2bcgP+4R6mk5dcaEEKIhigFuDw0tiO30larxZMsSe8vd7lcuN1uvN6667Xn5eXhdjfvhjLJ4jdl6E9uabBcfXwrflPaYLnPimK9f2Ntsq/z2kXTcC16Gbe79T9KK1YFpb80WK5++hg34VaMSAghElAuGPSbhsvzO4Mrh6BVgcuV9LTYYpLewj/llFP43//+x0033cRFF12Ez+dj+vTpfPLJJ9x444279d5KQTCY/NalVbkRKtY2fELleiyiDcbqqi5FLWh4b3v92V3kDzqeWLCB+fTNQDthdLgcMBjtwc4pQJfv4I5YabSlCQaS/xnsrvi4idT4fWoumVgnyMx6SZ12jw5VwrCJ8P0bULmubqFScPiNqP9djqd8Ne4JDxJrNxijPbt0rWR+VjtaFDXpCX/IkCFMnTqVyy+/nKeffhqIt/qvv/56TjrppCRHF6ftEDpSCYDtLcKonez60W7QLnBiDZS7Gt27XkWrG34tQMUaNg+rbxHu6rXw6b9Rc5+GaDV0GYE+/G+Yot6otv1g45KErzN9jtipAYlCCNESnJwC1IqXUCc/Ad88BQtehlgI9hgNB14Bi16Hnz8FQD0xDtdvPyea1z3JUTe/Zk34s2fPZtKkSU06d9asWRQVFbFo0SIuvfRShg8fzoknnojH4+GDDz7gpptuwuVycfLJJ+9yPMZAWdmub0rjsWwCsXXoj29BLXsPXD7Y63TM8LMoMwXYdtMGo/ldfvyDfoNa8GLiOAceR8j4qG4g1kLLi0tbDW88E2hPzFG7VdeGFLnKUI8fFZ+fv8Wqr1FPjMMc/xDOCY+iHxwDZrspfG4fzuF/p6zGhVPd/HG1ti136y3xM06WTKwTZGa9pE67r2jAeKyp46DnwXDRR1D6M6yZB2/8vu6jyVgYPruLyOj/IxTb+RSZzM+qTZtAo618ZZpxn9INGzbw8ccfN+nccePG4fF4OOWUU4hGo7z00kt1Nmn505/+xNtvv82sWbPqPd9vKscxbNpUuUuvdbk0wYoF6CfGgb3dSI9gN+yz36Y4lnhEp9YKnwphmTCOclGj8sg3m7CeOLpu4gTI74I552022YUNTrHzuyL43/0D6rvE3frOEX+nYtC5DQ7621UeF+TNvQ898+bEJ3gLsC/6BCrWYs24DlZ8AUpheh8OR95EmasTUTsznofJF276yMR6SZ12n6UVQTahZ9+L6ro3vHxhwycX9iB8xpuUO/k7fZ1kJ/wt67wk0qwt/Hbt2jFhwoSdes3ChQsZP358vR3ZBg8ezMsvv8yqVavo3bt3c4bZJLmmDD3tkvrJHqBsBeqL+8kZdQ3haN24c60Q3rKlqI/+H2rjYsjvTM4BVxHrMgpz9jvo719DL3geDDhDTkbtOZ6otz2mkV+OkO0h5/C/4dqwCNYvrFNm+h6FvefJRKK7n+xz3IYcuxwFRHQubqcaPe+Zhl9QUwqV6ykLDCRwwlO4nHgdjCeA7Skg2gK/8B63wueUoRTYxqKaPFkNUAixQ7ZjKFFFePf/E7kVS2j0cbcnF5P8Me3NLunP8Nu3b8+CBQtwHKfOIjvffPMNWmvatWu5gWiNsWKVsOmHBsv13Kfw7ftbwmy9A/RZYbyLnkfP+PPWEyvWov97Ju4hpxAe+zdqBp5JTr/fABC28vB7G59/D5sfTTgF5E98Cb1pMXrBi+Dy4gw7jVigC+W7OSXPsjRBVYKa81h8u1w7grvvUZjRv0t8w7MNZUcJqnLU3KfR858Fx8YMGIceeREuq5BYMw0tUEpR4KpAz3sW/eUDULUBd8eheA65nnDbYVTamTOYSQjRMoyBUMyFN9AFl7cg3mgp7AluX7xbf/NYLWfvc6nR+eBkVmMi6Ql/0qRJ3HzzzVx22WWceOKJuN1u3n//fV577TVOOukk8vN3vkulWTSwIlOtcEW9Qz5TiX73LwlPV/Ofxz3yQip9A4iazQl6J36ZHMdQ6uShC/fFfeh+AEQiNqYZuvGDFGM9ekR88N+WeL+ZinJ7MX2ORH39eOIXunJQwU7oxw6D8tVbXzvrHvhmKvnnvEOpq2uzLLwTtCqwXjgNtfrrrQdXf4N+5kRyjvwH9oDTCNmZMY1TCNGyqlQeeac+hzbR+AqhNWXQYU8o+RnmPY/T7xii0cxK9pACCf+ss86iXbt2PPnkk/zpT38iGo3SvXt3brjhBk455ZSkxWVy8sGTC5GqxOV7HEiUrQnG5dKoJe/WH7y2Df3Vw+Qcegs1jTeaG+U4hnC4kRH7O8nrslGf3F4n2dea+wxq0jSY/0J8dP52zH6Xwo8f10n2tWrK0G/+Dv/4x3d74R2XS6NXza6b7Leh37sR34DjCFG4W9cRQiSmFHitGC6nOj4uiUBaP0qzTBRVvhJeuxyiWx89mm77wQkPb352n3krhCY94QMcc8wxHHPMMckOo45qlU9g/yvQM6fUL1QK59D/I2T8bPmlUEpBTUmj76lCJSjHBlJnRSevqULPezZxYaQK3r8Jc85bqNeugDXfbn5REGf/K2DYRPS9ezf43urnT/GYatjNhJ9jqrHmPNLwCXYU1nyD1emwJs+cEEI0jdeK4o+uR3/8b9TKL8HfBu9+lxHrPJKyWPpNu1VK4Q+tQr18fv2yFZ9jXrsC37EPZOQKoSmR8FNROKbJGX4ObjuC/vxeiNXECwLtccbdRSi3B842ycW2HcweBzX6nk6fI4kpD9Byc+Z3lsLUucOtZ/mHOJ58oic9j9uuBieCcedRrfLx26Xoxl4L8TEAu70BldN4jLC5XJGJd+VCJIvHcshd/wX6hdO2Tgve9AN6xWzcfX9F8Jh/UxYLJDfIneTTYdTH/2qwXC17H49dwe42VFKRJPxGlEf9+Pa+HO+Ic1DVG8Dy4HgLqSJIdLtn545jsIPdsdoNgA3f138zXyGm71FEo6mT7AFiuHB13QdWfpX4BG8BRnuosANAIL4Y8+Yq5FguXA3VF8BfhOPy7/b9TVTl4vQ/Fr3yy4ZP6rx3WncxCpGKAq4QWgGn/Rcq18KcJ2DFbADU0rdxrfsWq/1BafW35zI1qC29lQ0pW4Eq6LDTu4emusybd9DMQjEXJXYBxTl9KXbtQWksv16y36LCycee+CJ0369uQdt+2Ge/RbkpaPmAd1I1eTiH/bXBcmf076jWiQdOVqsgzqE3NvLa31Otdn/3qUjMYAafCL4Ez+iVwgwcTyTDd7kSojUppShyV8R7N1++AJ6aAB/dCkNOgnH/rl3DVc++Fy/1x/ekMgcLcts2fpKvMOOSPUjCb1aOYyhxCqn5zZPYl87BnvQG9sWfEz5tGmXu7sRS8PmybTuEggNwTngM/EVbC9w+nDHXEt3z1HprDWwRiznUdNgb55jb4wMct7A8mIOuJjrwJCLNNL6w3BRinzMdOo+IH2g/EH7zH8x5M+DAyXhMiFxLNuoRojkErXKsZ09EfXYXhMvjB4uXw5tXx5fSHvXb+LFQCco03yDilmRZmjyrCrcLzH6XNXxisCu2bwc3BGlKuvSbmTGGCtsP+FH5HeKr59kAqdvlVW3nEOt6OP7zP0bXbAI7igl0IEQeNbHGBxhW2T5ifU/E3/coVNlKcKLoNj2xPUHKd22Rw4RitqHU6kLuic/iVhF0qBj18vmojUsBsJTGN+h4PEf8g9JYoMFVC4UQjXO5NHrFLFj3XeITZt8PZ78Os+/H6X4AUe1P5a83AHKtGrzFC+LTptfOg5OnYvocgfphRt0T3X7sE5+kiiCZOB5IEn4LSqekE4kpIgTBHQQ3sBM37eGYJkwQFYh3q+f7tgx2ad6V9hzHUEEuRVYY9fixtYtkAGAc1HcvYUUqCBx9z+abLiHEzsoxIaxvnmj4BOPA2vnQYRBm3wsJxxrvKM5xG3xOOTpaCdpN1MqlmtYb6OdxGbw/v4d+9aKtB1+5CPXrO+OPKOY/DzVlOD0Pwex1JhWqKCV7Y5uDJHzRbLa/wcm1QniIYJQijI8a273bN0EeF6hvnqqb7Lehlr6D+4gyUJLwhdg1ZocrbOLYOOPuotJq2+ig3HxXNe7vXkB/chuE4tOWrc7DcY+7Gye3L0a1fArKNeXot/9Y92C0Oj42oU1vnCP/QbTDcGqMn0hst6cUpTR5hi+anbZDuDd+h++183HdPRj3vcPJ/fA6CtVGXNbu/UF5nCr0D+82ftLaeViW/GoLsSsiyocz6PhGzzF9j6Dc34+I3fAjP68rhvubR+NLjYe2WaNk9TdYjx2JqyrBYl8tQFVviC+hm8imZeg3/wC2nfHJHiThi2bmcmmstd+iHh6L+nFmvNkfC6O+fRbr4bHkmw2Nbt+4I0ZZ4NlB690TyMgRtkK0hmjM4PQ/FgIdEpabPU+gRhewoxnGPlOJ/uzfDVykGj69E223wkBbZwfPJ51ofD2SLCAJXzSrXFOGeu3yrYt0bCtUgv74FrzWDvYpaEQNfux9G9nW0uXFtN+zWdbvFyJblZtC7LPfxvQ+tHYKHm4/zv6XEzvi5iZtVqUq125dsCxR+eI30ZHy5gq5QSbQMb45TkPl/Y4motNr8aBdJc/wRbOyYpXx6TsNUAteJGfM9YTYtY1ubNvB7jwS3X1/1C+z6pU7R99KqBUHBAmRiWzboVS3x3fsg+SYKoiFMW4/IZVPTbSJ7URrB3/jlmf3A22CEAFyD7wK/eHN9Qs9uTj7X0FoB7ORMoUkfNG8Gtk8CAB797vPyu0AwQmPYS1+Hf3Ff6BqE6bTMMwh1xHK602NLb/WQuwuxzFU4aUKb50VNpvK+NrGF8va9vn9tuXDJmJ7CyGy6z1+TVFju/AMOwe3Jw/9yS1QXRwv6LI39rg7qdCNDzzMJPLNKJqV4w5g+Yu2/lFtx/Q6hAg5u3UNY6A0GsDd7zR8fY5FKYcYHkLGX2d/AyFE8lSpfPKOvgWdYJMa8jrB3mdvHqXfsgkfoDzmwzPwTPwDjkNHq8ByE9V+qkwgq74z5Bm+aFbVKog59IbEhdrCHHYjIdM8m1JEYw7lTh5ldpAq2yfP7YVIIZGYItT1EJxJr21dIdPlxYw4G/ucd4j6Eg8KbLl4oNQOUqw7U2zaUWHnZt13hrTw04hS4HZbgCIWs1PylzUSA2fAeLSyUO/9Fao3xQva9MYZdxdVOd1SMm4hRPOrtr2EC/bGf+KzuIhiUIRVLjW2i8Q7dIiWJAk/TQSsEJ5oMXreixCugH5HY9r0oZyilNuBz/YEcQafCj0PR0fLQVnYrgBVKkgsluJrcAohmpVtO1SQu+MTRYuThJ8G8t3VeD66GfX141sPzr4f1W4AwVOfocpVSCiWeESsUiopc9KNsiiz82HLTnspvp+AECK1KAVaaxzHyLoazUSe4ac4l0vj/vmjusl+iw3fo966Bn94DS7X1o/SZSmCVjlFkeUUln5FEevIs6pRu7PijRBCtALLUgStCgprlhJc+RaFlfMpsMp2e5VOIS38lOd3ytCf3NrwCcveQx/8R/yecsoJ4LYM+aFl6P+eCaW/1J6mexyEe/z9lNgFcrcshEhJlqUJ2muwnj2pznoeVqA9wVNfoNzfZ4cr/DU3pcBnRchxKlHRanD7CSs/1Y4v7b5LpYWf4rQyjS5kgzEQrsBlVwOQRwn6iWPqJHsA9dPH6P+eQZ6uaMlwhRBil+WpUqypx9X/zqtcj35yHHmUtmo8SikKXOX437sW170jsO7fD+ueYfjevoxCXYzW6dXrIAk/xTlGQUH3xk9ye0EpPG6FmvcCRKoSnqZWf4MrtG631rIXQoiWoLVCb/weylclPiFSiVr8xuaZSq0j36rA+u+ZqAUvbF2T3xjUkrexnhpPvi5rtViagyT8FFetCzAHXtnwCT0Pho1LiWkfbieE/vGDRt9Prf46JXaS2zLFsDX/eIUQrcuyNHlWNYW6mEJdTMAKNdgqtiyNWvF5o++nf/4Yt7bJ05UUWGXk64rd+g7xuKDAKqPQKiFoleN2b/1utCyNu/IX1Ko5iV9cvBxr7dyU+D5tKnmGn+JiMZtoryNxDz4BteCluoWFPeGQazHajWUpXMQw3gIaa8Abb+Fu70m/u/KsKtyRYtT3MwCF6XskUXchFbbsYS9EpvBaUfyVy7Cm/xE2J01rjwPJOeqfVHjr91oaY+Ir8DXC5HXEV74U/caVsHEJ5HfBfcBkYr2PpCza9Kl/SkHQVYk1d2p8ee7qYsjvjOuAK4kN+A3lMT9BdzVq4bRG30cveBF354OxU2tmdIMk4aeBsqif4OE3497/UtQ3UyFSDT3HQMEeGFcO6vs3cH18G3QYgjn0elj8RuI3sjzQZR9sO3nT4wrcVbje/j3q+9e3Hnz3BvTgE7AOv5nSnfijFUKkJsvS5JYvjo8n2mZ/DfXzp6hHDiVw3gfYgYF1XhOLOZjeh4G2Eu+2CTDkZPTU8RDevMveph/Qr12Oe8A48o+8lXK7aRtn5VuVuF69APXTx1sPlq9Gv30N7lVzCB72d/TXT+xwgx/j8mJQkCbb66ZPX0SWK4vmUuLrT+SQG7GP+Ad2z0Mw2oV65SL4+Lb4Sevmo6o3Qf9jEr6HM+7fVCdxAYwcl4P11UN1k/1masFLWPOewSO3oEKkvVzK0W9dnXgzLTuKfudPWJH6z7+rCeCMuyvhe5rRV6F+nLk12W9Dff86rsoVTRpEp7XCKl1eN9lv+17zn8dlV6I+uxt6HdLoezkjziYaS49kD5Lw04ptG8pCFsU13vjAkSePg41L6570xu9h8AmYCQ9Bl72hoDum/zHY539IaI+jqLF3bVva5uAz5egvH2ywXH9+D36TXoNghBD1uZwQrFvQYLn66eP4FLft1Ngeqnv8CvuiTzHDJkKnYZgB43DOnQFDT4Hu+8EZL8f/t9fpoLe2EPScR3E3ocHgdin0N082flKoNH5jsXouDDkp4Smmz+HE8vdIq6XCpT2VhrRWsH4h2JH6hbEaeOk81NBTiZ34JLYDMe0lZHsxSd4VStnhhHfntao3oZyW3zlLCNHCmjRQKPE5ITuHGvceeA+ZguXUYCwvXqcC3pgMyz+Iv7cnF4afAadMhf+eDbEwKlKJMg40OooJFGbH3zPaBW4fvP93OP4B6DQMvnwYSn7avNPfOZjhZ1AeSa9HkJLw01Us3Hj5+oVEHYtKJ7B5RdsUuAu1cuLPxBLdqAC4/Rjtbra9qXPcBq9TjgKi5BAysqOeEK0hZvmw2vaLD6xLpOu+GHfDg3SNgVDMBQQo1OXox46AirVbT4hUwewHoGIdHPxHeO9vOAOOI2YsdrSEd9RWOINPQm8/CHrb67v9mOGT0F88AC+dB3scGL9OXkcIleBYXspNwQ6vlWqkSz8NOY6BDoNpbEK9038cEd20ASytpUYFMA10jwE4wydRo/J2+zpaKwpd5QTm3Inn0bG4/7MPvjcuojC0FJ/VwM2GEKLZVKsgztG3JC7UFvZR/8T2FOzwfdwujV78Rt1kv62Fr0K3kVDYA6f7gU3anMu2HewOw6Bt34TlpvsBRF152AdchelzePzgz5/Cq7+Fqcfj/PA+sU77EI2mV7IHaeGnrbDOwzfkFNS85+oX+goxw04jEmv9uBpTY7vwHnw9rlVzYMP3dcpMx6E4B0ymJrr796BBqwzXk+PqrNallr2HWv4+/lOeJdZhNNEU+9kIkUliMYfqwiH4z5yGfvsa2LA4XtBxKM7Rt1Lt70VOE97HY6rQC19u/KRNy3HOehPl2BSqDTg6h2pVQLSR5F/u5FNw+qvoGdejvn8tPivAlYMZeir2mD9REYt31ecdcy+u8EbUDzPAcmP6HEXElU9lND2nEEvCT1NVthf3oX/Fym2L/uoRiIbiBV33xf71vZRTSEp042/DGChzguSf9grW2rnob58GpXH2OhO7/WDKYvnsbswet0J/+1zi5YiNQb92ObnnfUgpwd26jhCicSHbQ7RoX/wTp8WX/laKmPZRRT627TQp4YOqMzCvno5DMN32Rb19DXrxm/FZAcFuuA65nkiPw6iI+RK+zHEMJSaI7/DbyTnsb6hYDcbto0blEYpuvV65nYty5+IachFAfCvyRh45ut0WWrF5ql7qUSbdVv/fCY5j2LSpMtlhNCoYjP9ClpWFdun1XpeNz5SjIlXgyiGq/VSZQFKfVTelTpalcesYoIg6VrOtDZCvy8l56pj44JoG2Bd+RLG710697+5+TqkoE+sEmVmvbK2Ty6UJ/vIm+pXztx5UCvxtQFlw8hPw3OlQvanea53D/0bVnpOoibV8u9ZtGfIoRS2djl45G1PUG2fwyYSsAkJ243P5m1ObNoFGpyZKCz/N1cQsaigEqzDeOLZBa8i1QuSYarAjOC4fIR0kHE2du07bdrDtLd33zfcsTGEgwXSfOqJhSN7sRCFEE8ViDnb3A9HtB8YfC4y8AAYeF19v352Lceei+h4J3z5b77V65hR8e55ATQv35rktQ37l9/EFgTZ/9yjA+uj/4R93F/Q8hpDdtP6MliYJP8O4LEW+vRb95u/ii1QAlrcAa//L8Q49k7JYej57aqqIzsXdayxq3vOJT7A88Wk1abIUphDZrtzJJzjxJazyX1ALX4GpvwE7Pq1OuX0w+io44m8w4y91XxgNocp+QQWG4HZbKKWwbUMs1rx//AFVjn76hPoNjc2PEH2XjCKkOjfrNXeVjNLPMPmqBOuxI2uTPQA1pegP/o5r1m34rR1M50tzNbYLZ/TVDS6J6ex7ASGVXnNnhchmjmOoIh9WfhWfimdvM4c+GoIPbgZfYXyhse0oYyhUG8n7+i7y3ruK4LLnKbJKcVvN88jTshR67beNri+i5jxKTor0KErCzyAeF6hvn0v4PAtAf/kQXhJvnZspjIFKV3ucSa9B0TbP6d0+nAOvJLbfFYRiKfLXJ4RoEr8pQ31yW8MnfHYX7HNO3WNuHyq3COue4eiZU1DfPot+/Uqs+/cjr/oHXM2Q9LXW9Vc73f6cjUvRJjUWFJMu/QzicSrQi15t+ATjwLqF6PYHZfQCNBHboix/CLlnvI4VqwI7jMkpIKTyqInKdrxCpBsdq4ZQScMnbFwKeZ2hoDv0OSI+ha7zcNSse+uv+hepxHp6AoELPtnt2Tq27WDaD2z0HKf9IBzlIRVmTUkLP6PsYAoLxHeiygKxmEOZnU+x6kSxqwcldgE1seyouxAZR++gV86VEx+bc/iN8R7Okh/j3f1DT4Z2A+qfHypBb/q+SZvtNMZxDKb94PgjhUSUxow4m3A0+ckeJOFnlLDOwxl2WsMnWB5oNyCjW/dCiMwT0bmYHmMaLDdDTsYsnwkvnhtffW/JdNTrV8LLF8C42yG/S73XqE0/7HbCB6gw+ThnvAre7XoLtIUz4RGqrQZuBpJAEn4GicYMTv9xUNgjYblzyHVJ3R5XCCF2RbXx4xxze+KWdH4X2P9S1If/qF9WsRbe+xvs99t6RaZNv2Zp/MRsKPf1JnbRZzjHP4QZeRHmV/8P+9JvqOpyCDWtOA9/R1rsGf7SpUt56qmn+O6771i8eDGRSIT33nuPrl27Jjz/tdde46GHHuLHH3+ksLCQ4447jssvv5ycnNSYv5guypwgBZPeQH16O/rbZ+LdWm1644y9gUiXA6mJpc4vnxBCNIXjGMpdnci/4GPU14+hF02Lt6CHTkQNORE17RIIVyR+8S+fw6E31D3mb4PTph9OM+0gGrWhhCCu7scSGHQCYCgtTb1Fklos4S9YsIAPPviAQYMGkZuby+eff97gudOmTeOaa65h4sSJXHfddSxbtoxbb72VVatWcccdd7RUiBnJcQzFThDvgX/Be8DvUMbGUW6qVLBJG0sIIUQqitmGYgrI2edKPMPPAxRhnY/fKcP982c7ePE205G9QZwzXqGSApp7IF0s5pDKi9e2WMIfP348xx9/PACPP/54gwnftm1uueUWDj30UG688UYA9ttvP9xuNzfccANnn302w4YNa6kwM1Z8Bb5tnylJshdCpL9wVBEmP/4Px5BjadztBsC6BYlfoC1MoAPscx6m23443Q+gwgSJNVPrPp202DN8rZv21nPnzmXDhg21Nwdb/PrXv8btdjN9+vSWCE8IIUQGCKl8nDHXNlhuBhxH2NeZ8oP+QVn3YymJBWnmxfbSRtLn4S9dGl+0oG/funsT+3w+unXrVlu+K5TaukFDqnK54lPFUj3OnSF1Sg+ZWCfIzHpJnRpn9jgAM/r3qE9vrzPv3nQbhfnVFLQ3n9b6ySXzs1I7mHSQ9IRfWloKQDBYfwGEYDBYWy6EEEIkYnuCmP0vxxpxJix7H8KV0OsQTF4nYjlFyQ4vZTQp4c+ePZtJkyY16Q1nzZpFUdHO/4BVA7cmDR1vCmNSfzvJbN32Mt1IndJHJtYr2+uktcKnqvGYGsAQUzlUk7fdttouoC2uPqeilCIWszE1QE3r/syS+Vm1aRNotJXfpITfq1cvpkyZ0qQLBgKBJp23RUFBARBv6RcW1p1jWVZW1uA0PiGEEJnPY9kEwivR71xXuymYq8veeI6aQlVuH2qculONZTZSw5qU8Nu1a8eECRNaJIA+ffoA8Wf5PXv2rD0eCoVYsWIFY8eObZHrCiGESG1aKwKR1ViPHFp3at2qOejHfkXupNdwivYmEoklL8g0kvSV9vbaay/atWvHtGnT6hx//fXXiUajHHnkkUmKTAghRDL5VAg94/q6yX4L46Df/D35NcspdJVjWUlPZymvxQbthUIhZs6Md78sXrwYgI8++oiioiKKiooYOXJkPACXi9///vdce+21/O1vf+Ooo46qXXjnqKOOYq+99mqpEIUQQqQwDzWo5R80fELFGpQdxfXuDQQP/TOlur3sFdKIFkv4mzZtYvLkyXWO/fWvfwVg5MiRTJ06tfb48ccfj9aahx9+mBdeeIHCwkJOPfVUrrjiipYKTwghRMoz9be3BXD74ci/x/cNWfI2FHbHKl9JQYGHYmf3trzNZMqk8jqAu8lxDJs2VSY7jEZl++jbdCF1Sh+ZWK9srVPACuGddjbq50+3HrTccOqz8Pl/YNl7dc43A39N7KhbKY0mb5OwZI/Sb2wHQHnoIYQQIiVVGz/myJtBW1sP7jkBfni3XrIHUItew/p2Kp6krzCTmiThCyGESEmOY6j0dcc5+23oODR+cPAJMPfpBl+jZ9+H35S1UoTpRe6DhBAiw1iWxuXSGGOIRNJ74fiw7SYW2JPcU/6LJ1qKMnbDW+ECVBejnGjrBZhGJOELIUSGsCxNvipFrf4K/cO7mNy2mKGnEnYVUmWn7zr8tu1QTi55bkVOaDXKlZN4qh6AJxej3ZDe9zktQhK+EEJkAK0VQXsN1pPHQsVaABTAJ7fjPehq9PALqbD9SY1xd1XE/OjcLriHnoL6+smE5zjDJxFSea0cWXqQZ/hCCJEB8lQ51gun1yb7bemPb8VduqTREdy7w+228HrdBLwOhVYZhVYZuVZNi1yvLOLDHnMtdNizXpnptBfO/lcQjklqS0Ra+EIIkQGsSAls+L7Bcv3JrfjGPUwV3ma7pldH8FOOmv8KasNiaD8A1W0UfHIHlnHIOexvVOZ0IWJbO36znVAaCxI89SX0+gVY854GFPZeZ2K3HUB5LB/I2Nnmu0USvhBCpDmtFZSsbvQcVfITlolAMyV8rxUld9VM9MvngdlmwxpXDkx4GPX1E1gPH0zgnHco8/ffbme73WOMoTQWwGp3AO4j9gMFUVthxwyS7Bsm/R5CCJHmHMdAfudGzzGFPbCVp9FzdobfKa2f7CE+mO6Vi+DAyWBHsd78PX4aGVW/G2zboSYKNRGw7dRN9G63hddtyPHoRrevbWnSwhdCiAwQ8xRitRvQYLe+M/oPhIyP5mgBe9wW6utn6yf7LaLVsO476DQMVn+N2wkByVv9LlncFuRRglr0JvrnjzF5nXBGnEM4p11SZk1IwhdCiAxQafJxnfx0nVH6WzgH/YFoYT+cWPO0gjUx9IZFjZ9U+jME2sf/22TfHDmXhvzQMvQTx0IkvsS7AqwvH8I7+veoERdT2cpJXxK+EEJkAMcxlFmdyD/3ffTqr1HL3sME2mEGn0TYKqAq1nzJxVEunPaD0Ytea/ikwp7w0ydQ2BPb8mfdvPiAKkM/e1Jtst+W/uQ2PP1+hc4d1Kq7+8kzfCGEyBC27VASy6e006FUHDKFir2volh1ospp3pZkJGJjhp5Sd437bXkC0H4grJ2Pc+Q/qFIFzXr9dKDLf4HK9Q2Xf3YnOTrSihFJwhdCiIxj2w7hcKxFl9WtJohz0lTQ23UUe3LhhIfgq8dxTnyCUIeRxGJZ1rwHKFvZaLEqW4HlNLBaYAuRLn0hhBA7rcZxYzrsT+5lX6OWvI3auCQ+SK/nGBwDzmF/p0oFiTZx3IBSkIqbtWutMMbsfGxFvRstNu0HYWsfNN9sxR2ShC+EEGKXhG03YYpwDzgTpRSO4xCLbZvBdpwlc60QOU4VlK8AbyGOt4hKgsSSOM3OshQByrFqNsZb6vmdsX3tqSTY5PUE7NxOWEW9oHh5wnJnv8uoaeYFiXZEEr4QQojdEo3uWpe9q2YD7rcmo5ZOrz1mBbuSf8LjVAb6EbFb/6mzZWmC9mqs5yfCxqVbjxf1InjKc5S7uzTpZqSSfIIT/4s19TgoX7W1QFs44+4ilNOx1ScvSMIXQgjR6qxIKeqVi1E/fli3oGwl1tRfE7h4FsW0bfW48lUp1pPj6u9JULwc68ljyDt/JiUEd/g+th2fNZF3zgz0xu9RKz6HvE6Y3odTTS41dvMtgtRUkvCFEEK0Oh0qrp/st4iGUHMeJ2ff3xOOtd7SdJal0Wu+SbgBEQBVG1ErZuHqdsx2jy4Ss22HUvLRRaOw2u2PMaZJr2spMkpfCCFEq7IsDWvnN3qO/vFD3E51K0UUZ1katfz9Rs/Ry96Lx78THMcQjdpJTfYgCV8IIUQrM8aAbwfd4t58jGrdQW3GGEygY+Pn5HVKydkETSEJXwghRKtyHINpNxDc/obPGflbami4vCVEozZmzwmNnmOGnkokEmuliJqXJHwhhBCtzvYUYMbfS6Lt40yvscQ6Dm/WLXWbqsYK4hz6fwnLnDHXEHYVtXJEzUcG7QkhhGh1xsrB7nU46vyZ6I9vQa3+GvxtcEZdgt1zLOWx5OyuV217UYPPIKfHaPQnt6OKf8AU9sQ58CoiwT5UxbxJias5SMIXQgiRFI7LT3lOb3xH/huXqcFgEdL5xKKt17LXWqG1wnFM7UY2VbaPUO4gvEffg+WEcXQOIcfbbLsNJoskfCGEEEljjKHazgFy4gec1kn2Lg0BVY4uXYYq/gnTpjdOQQ8qTXyVP8cxVDub43KgKasGpjpJ+EIIIbKK24L8muXop0+Aqg21x628TuSf/hLlnj2SurRvS5FBe0IIIbJKnipDPzGuTrIHoGIN1pPjyFOlSYmrpUnCF0IIkTVcrs2L64TLE59QXYxa9eVOL66TDjKvRkIIIUQDLEuhf/640XP0L7NaPOHnuB0Cugq/K4rWrbN8sDzDF0IIkTWMASe4R6OtXRPsFl8NsAV4LJuAvQn1+SPoFZ9jctvh3e9SYgX9KLdbdiqiJHwhhBBZIxKxMUNPhY9vSXyCUpgBv97lLX8b47YMeSXfop85Aexo/HKAteRt9NCJ5I+9sUXXH5AufSGEEFmlxirAOfLmhGXOsXcSUnktct0A5ej/TqpN9ttS857FVby4Rbv3pYUvhBAiq1TbOagBJ5PTYwx69n3x1fTa9scZ9VtqPB0ItcBe9VorVMkyqClt+JxZd+M95gGqaf7rgyR8IYQQWajK9lLt6YH3kH+inRps7SVsa0zz9+QDoJSCynWNn1O1Hm0iIAlfCCGEaD7GQCimAf/m1fRajuM40G5g4+d02YeYbrlY5Bm+EEII0cKMgZi3LXQalvgEbWFGXkxNrOXSsiR8IYQQohVUmjzsk56CjkPqFuTk4Zz6HNWudi16fenSF0IIITZzuTRaaxzHIRZr3r51xzGU6iICJ/8XV2gdat1CTKAdpt1AqkweEbtl2+CS8IUQQmQ9j+UQoBy1fCasXwDtBmF6jaWSPCK21WzXcRxDOQFUTgDdoy/GmFbbdrfFEv7SpUt56qmn+O6771i8eDGRSIT33nuPrl271jlv/fr1PP3008yaNYuff/6ZWCxGjx49OOOMMxg/fjxay1MHIYQQLcdjOeSVzUc/cyJEQ1sLXF7yJr5AReGwZk36EH+mb9utsxXwFi2WTRcsWMAHH3xA27ZtGTFiRIPnfffdd0ybNo3999+ff/3rX9x5553stddeXHvttUyZMqWlwhNCCCGAzQviPH1C3WQPEKtBP3sSARrYaCfNtFgLf/z48Rx//PEAPP7443z++ecJzxsxYgQzZszA7XbXHhs9ejTV1dU8/fTTXH755eTn57dUmEIIIbKYy6VRP7wLsZrEJ8TCqCVv4R5wZosst9uaWqyF39Su+GAwWCfZbzF48GBs22bDhg0JXiWEEELsPsvSqLXzGj1HrZnbajvataSUHbQ3e/Zs/H4/Xbp02eX3UAqCQV8zRtX8XK74c6FUj3NnSJ3SQybWCTKzXlKnlqMU0H5A4ye1H4TP58Hrrd843V4y66V2cE+SkiPiZsyYwfTp0znnnHPwer3JDkcIIUSGMgbofwxYDSRz7YJB41tsu9zW1KQW/uzZs5k0aVKT3nDWrFkUFRXtckBz587lmmuu4YADDuCSSy7Z5feB+AdZVhba8YlJtOUuMNXj3BlSp/SQiXWCzKyX1KlleXSAvJOeQr9wOjixrQXawjnpSapMHjVNjDOZ9WrTJtBoK79JCb9Xr15NHjEfCASadF4i8+bN4/zzz2fgwIHcd999uFwp+8RBCCFEhog4LirbjyL30jmoha+g183HaT8Ys+cEqlWQGjszclGTatGuXTsmTJjQooEsWLCA8847j969e/Pggw/i82XOsyohhBCpLWy7CNMG95CL0EPBMaT9qPztpcRty8KFCzn33HPp1q0bDz/88G71EgghhBC7KtOS/LZaLOGHQiFmzpwJwOLFiwH46KOPKCoqoqioiJEjRwKwfPlyzjnnHJRSTJ48mWXLltV5nz59+sgNgBBCCLGbWizhb9q0icmTJ9c59te//hWAkSNHMnXqVCA+SK+0tBSACy+8sN77PPnkk4waNaqlwhRCCCGyQosl/K5du9a27BszYcKEFh8fIIQQQmS7lJyHL4QQQojmJQlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsIAlfCCGEyAKS8IUQQogsoIwxJtlBtBRjDKleuy17F6d6nDtD6pQeMrFOkJn1kjqlj2TWSylQWwJIVJ7JCV8IIYQQcdKlL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfhCCCFEFpCEL4QQQmQBSfgp7Nprr6V///5ccsklyQ5ll02fPp0rr7ySww47jKFDh3LooYfyxz/+kZUrVyY7tCapqqripptuYvTo0QwdOpQJEybw3nvvJTusXTZr1iyuvfZajjrqKIYNG8aYMWO47LLLWLx4cbJDa1Z33303/fv3Z/z48ckOZbfNnj2bc889l3322Ydhw4ZxzDHH8Pzzzyc7rF22cOFCLrnkEkaPHs1ee+3FMcccw4MPPkgkEkl2aE2ydu1abrrpJiZOnMjw4cPp378/s2fPTnjup59+ysknn8zQoUPZf//9+ctf/kJ5eXkrR7yVJPwU9emnnzJ9+nQCgUCyQ9ktDz/8MOFwmEsvvZSHH36Yyy+/nG+++YYJEyawYsWKZIe3Q5dddhmvvfYakydP5oEHHqBPnz5cdtllzJw5M9mh7ZJnn32W1atXc/bZZ/PQQw9x7bXXsnr1ak488UTmzp2b7PCaxdKlS3nooYdo27ZtskPZba+88grnnHMO3bp14/bbb+f+++/n9NNPJxqNJju0XbJs2TJOPfVUVq1axXXXXcd//vMfjjjiCO644w7+/Oc/Jzu8Jvn5559544038Pv97Lfffg2eN3v2bC688EI6duzI/fffzx//+Efef/99LrzwQhzHacWIt2FEyqmsrDRjx441jzzyiBk7dqz57W9/m+yQdtnGjRvrHfvll19M//79zZQpU5IQUdN9+OGHpl+/fuadd96pPeY4jjn11FPNr371qyRGtusSfR5lZWVmn332MZdddlkSImpetm2bk046yfztb38zZ5xxhjnuuOOSHdIuW716tRk6dKh58MEHkx1Ks7nrrrtMv379zM8//1zn+NVXX20GDRpkIpFIkiJrOtu2a/97xowZpl+/fubzzz+vd94JJ5xgxo8fX+f8Tz75xPTr18+88cYbrRLr9qSFn4Juv/12gsEgZ511VrJD2W1t2rSpd6xbt24UFhaydu3aJETUdDNmzCAvL4/DDjus9phSiuOPP57ly5fzww8/JDG6XZPo88jPz2ePPfZI+c+jKR5//HHWrl3LVVddlexQdtuLL74IwJlnnpnkSJqPy+UCqNdzmZeXh8vlwrKsZIS1U7Tecdpct24d8+fPZ/z48XXOP/DAA+nQoQPTp09vyRAbJAk/xXz99dc8//zz/P3vf0+LX/5dsWTJEoqLi+nbt2+yQ2nU0qVL6dOnT70/8P79+wPxemSC4uJili5dmvKfx46sWLGCu+66i7/85S9p/ygM4Msvv6R379688847HHXUUQwcOJAxY8Zw6623ps3z7u2NHz+egoICbrzxRlasWEFlZSXvvvtu7aOLpiTTdLDluyHR31S/fv1YunRpa4cEgCspVxUJRSIRrr/+ek4//XQGDx6c7HBaxJY6FhQUMHHixGSH06jS0lJ69OhR73gwGKwtT3fGGG644QYcx+G8885Ldji7zBjDn//8Z0aPHs3hhx+e7HCaxfr161m/fj033XQTkydPpk+fPnz++ec8+OCDrFmzhttuuy3ZIe60zp078/zzz3PppZfW+ZwuvvhirrzyyuQF1sy2fDds+a7YVjAYZOHCha0cUZwk/BYye/ZsJk2a1KRzZ82aRVFREffccw/hcJjJkye3cHS7ZlfqtC3btrnmmmtYtGgRDzzwQL3yVKSU2qWydPGvf/2Ld999lylTptC7d+9kh7PLXnjhBRYsWMCbb76Z7FCajTGGqqoqbr/9do499lgARo0aRU1NDY8++ihXXHEFe+yxR5Kj3DmrVq3i4osvpl27dtx7773k5eXx5Zdf8sADD6CUyqikDw1/RyTru0MSfgvp1asXU6ZMadK5gUCAZcuW8cgjj/DPf/6TWCxWO3XDcZzaf3u9XjweT0uG3aidrdO2HMfhT3/6EzNmzOCOO+7gwAMPbIkQm1VBQUHCVnxZWRmQ+O49ndxxxx08+uijXH/99UyYMCHZ4eyy4uJibrnlFi666CJ8Pl/t304sFsNxHMrLy8nJySEnJyfJke6cgoICAEaPHl3n+JgxY3j00Uf57rvv0i7h33bbbVRVVfHqq6/i9XqB+E0MwL333suJJ55I165dkxlis9jy2TX0/ZGs7w5J+C2kXbt2O/Ul+uOPPxKLxbj66qvrla1Zs4Z9992XG2+8Mand4Dtbpy0cx+G6667j9ddf55ZbbuHII49sgeiaX58+fXjnnXdwHKfOs8Utz+f69euXrNB225133sn999/PH/7whyb32qSqdevWUVFRwW233Zawm3vfffflggsuSPi3lcr69evX6FTJdHzevXDhQvr06VOb7LcYPHgwjuOwfPnyjEj4W57dL126tN4N25IlSxg+fHgywpKEnypGjBjBk08+We/47373O7p3786VV16Z8HlyqtvybHXatGlMmTKltmsyHRxxxBG8+OKLvP/++3WeN7766qv07NmTPn36JDG6XXfPPfdw3333MXnyZM4///xkh7PbunfvnvBv5+abb6a6upqbbrqJzp07JyGy3XPEEUfwwgsvMHPmTI477rja4zNnzkQpxZAhQ5IY3a5p3749S5cuJRQK4fP5ao9/8803AHTo0CFZoTWrjh07MnjwYF577TXOOuus2puzWbNmsW7duqQ1eiThp4iioqLarq1t5eTkUFhYmLAsHdx000289NJLnHzyyfTo0aNOiyUQCKR00jz44IMZNWoU119/PaWlpXTt2pVXX32VOXPmcN999yU7vF3y6KOPcvfddzN27FgOOOCAOp+Hx+Nh0KBByQtuF+Xm5ib8+8jPzwdI27+dMWPGMGbMGP72t79RUlJC3759+fzzz3nyySc59dRT6dKlS7JD3GmTJk3i0ksv5bzzzuOss84iLy+P2bNn88gjj3DAAQfUzoBJdW+//TYA8+fPB+IzKkpKSvD5fBx88MEAXH311Zx33nn87ne/45RTTmHdunXceuutDBs2jF/96ldJiVsZY0xSriya5NBDD2XAgAFpm2AOPfRQVq1albBs5MiRTJ06tZUj2jmVlZXcfvvtTJ8+nfLycvr06VNvhHE6OfPMM/niiy8SlnXp0oX333+/lSNqOWeeeSbl5eVMmzYt2aHssurqau6++25ef/11SkpK6NSpEyeddBLnn39+WnbpA3z22Wc8+OCDLFmyhOrqarp06cIxxxzDOeecg9/vT3Z4TdLQjcn2f0MfffQRd999N99//z25ubkcfvjh/OEPf0jaM3xJ+EIIIUQWSM9bRCGEEELsFEn4QgghRBaQhC+EEEJkAUn4QgghRBaQhC+EEEJkAUn4QgghRBaQhC+EEEJkAUn4QgghRBb4/0zvI7qrjVx2AAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "\n",
+ "twogroups_clusters = KMeans(2).fit_predict(data)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=twogroups_clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fcf0235a",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Visualize silhouette: many clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "fe519d51",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[ 2 6 13 12 13 7 1 7 11 7 7 18 6 15 7 0 3 4 8 9 12 11 7 13\n",
+ " 4 10 1 12 9 0 9 16 0 1 2 4 12 12 12 7 10 16 8 15 12 4 4 12\n",
+ " 15 8 1 2 10 9 6 5 13 0 6 7 5 3 14 1 7 17 6 14 7 2 7 19\n",
+ " 8 2 15 9 12 14 5 1 18 3 8 5 2 16 17 7 10 18 19 13 3 11 6 18\n",
+ " 11 14 3 10]\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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mTEh0dYQQScI0DTYvr2qxt75k5kZ67VNAIM9b/4XbzrfJHceltLQXVVVVrF69Ok4dTc466yymTZvWqHz27Nn07NmTs846G9tOioejRAZKqt+8v/3tbzz00EPceOONXHjhhYmujhAiyexqYVCtNZZv96fjK6Xw+Sy8XhPTbL6LpDX4fAECgQBZWVlNyocMGcLixYvjXgysW7eO6dOnY1kynC8SI2kC//777+fBBx9k4sSJXH755YmujhAiyTiOS0nf3BZ3ttvrgK54/LsX+KbpEg5X8sknHzJ16hS2bFmPZbnNLlHqugZDhgxlxIgRTcqGDh3K119/3exnzZ07B63thv82DEWWGSHfrCTfrMJvycx90XGSYkj/iSee4L777uOoo47ikEMOabTYjtfrZd99901c5YQQycOEfcf2YMEn65sUZRf46DOs+a1+4/F4NFOmTGHhwgUNx77++muKioo4//wLUMrTZFRBa7BtRUlJV0aNGsXs2bMbygzDIBKJNPt5tm3jODFM04OFTVZkHcbU36NWTAXTh7nf2QQPvZ5KilJmHwOROpIi8D/88MOG/7/9f2/Xs2dPpk6dmohqCSGSTMx12f+kPuQU+Jj7wRoitTGUoeg7rAuHTBiAo1q/E51lGSxdurBR2G+3bds23nrrTcaNOxUnzip99aFvMHbsEQwduh8zZnxGTU0NXq8Xv99POBx/Yp7X66WqqorsbJf80DKMp34E7ve9esfGmPUELHyNvMs/pFwVylr7ol0lReA//fTTia6CECJFRJwYAw4uYeABXXFjLoZlgKmJuS56N3rFWttMn/5ps+XLly8HHCyr/hn+eFv/Oo5BXl4x48adius6eDweDjjgAD755JO47zls2DDmz5/Pfv260nXatTvCfmd12zA+vQf/YbcTiiXFV7RIE0lzD18IIVorFnOxcXAsjY2D7bi7nND3Q0oRdyU8gLy8PM444wxqaqpZtGgea9euwDQdvN76yX0ez455Aq6ricXAdU2iUZfRo0fHfZy4d+/e7LvvvsybN4+ibA9sW9583ea9gE/X7VZ7hNgVuXwUQmQkraGgoKDRSnhQv6z3hAkTeOONN9iyZUvDcdM0OfnkUwCNbdvstdcgwNNwr90wFIYR4+OPP2Ho0KGMGTPm+1GC+tn7FRUVPP/88/XP7sfr2e8sFkalyPbEInVID18IkZEMw8vYsYc1OX7kkUfyzjvvNAp7AMdxeP31/5GXl8dHH33EP/7xIDU15WxfIdcwHJ599hlmzZrFa6+9xv/+9z+qqqqoqqpi7ty51NTUNEzoq3MtCBQ0Wzfd7wiiytd+jRUCCXwhRIaybYf+/QcwfPjwhmMej4e8vDw2bNgQ9zVaa+bMmcOwYcOwbZt///tZlHKwLIN169awdevWhnNra2tZtGgRixYtYs6cOfTo0QOPxwPA9LlLcA+/OX7FlIE+5nZCbnqtMS8ST4b0hRAZy7YVRxxxNAcffAjffjsfy7KanWG/3aZNmxg1ahQA4XCYzZs30b17zxafvwdYvXo1Xbt2Ze3atXh8Qex9jsKDxpj2JwhX1J9U0Bd90l0QLCSgQ9Tib49mCgFI4AshMpzjGFhWkNGjD0YpRV1dJUcccQRKKdasWcOKFSsaTQjMyclptDteWdk2evTotcsNcQzDoEePHhx55FEUFXWhyjbw7XMB2Xufgqpah3IiULsF9fFdqLVf4d//Uqyxk6iMBTus7SKzSOALITKe1vUz/w3DYf369axcuRKtNQMHDuSwww7jzTffbLinP2LECD766KOG1xYXF+O6MHz4CJYsWdLsZ+y9996Ypg+tDWKx+gsI0zRgzguoqX9ocr4x6wmsooF497mofRsrMpYEvhBCAIYR45lnnmbbtm0Nx9asWUNOTg5nnnkmL7zwAgMGDCAWizXM7M/KyqKoqBjbdujRoyfFxcVNJvsBDBs2HNP0fr+Ij8ZrOmTrCoyqMtSM+5uv02d/Jbj3eDTdUKp+r3XHcWRBHtEmMmlPCJHxLEvx2WefNQr77aqrq/n000/58Y9/TGlpKW+++SZQvw3u+edfwPZ+k+uanH/+Bey//2gsq/5YMBjkmGOO5eijj8Fx6r9uvaZLTvlczAdHo0LlECpvvmI1mzFw8NSuw/rmWfIW/pOCyHJyzZoWt0EVIh7p4QshMp7WMebOndNs+bJlyzjppJNwXZf99x9NaWkpvXr1Qmur4Tl819W4rsHYsUdy6KGH4rouhmGilAfb3rFKX5aqxnjuPHBsUAaYnvr/Hc+Jf8L45jnUtDtB64Z9g4zSMeSf+SQVsVzp7YtWkx6+ECLjae1i282ELvWP48ViDnvvPYxDDz2S0tL+xGJm3A1uYjGN41ho7cVxTGKxHWFvmgZq3Vdgf7+K3rL3YO8fxf/Q4r3ROd1QH93BD1Ndrf0C852bCBrNb9QjxA9J4AshMp5SBvn5+c2W+3w+LMvCth2i0VjcdfVbwzAUqnzVjgNznoExP4WCfk1PPvhq1Gd/a77Oi9/Cp2sa/ts0FdlmLQVWFflmFT5Luv6iMQl8IUTGU8rDEUcc0Wz5gQceiFL1i+aYpoFpuhhGDMtit+6lO46L7jZ0x4FwJbzyMzjlXjjxTuh/JPQ/CnfCY+h+R8LmRc2/mXYhUgVA0IyQX/UNgVd+gvX3IXgePojsmX+k0KrEMORmv6gn9/CFEBkvFnPp23cAY8cexmefTcd163vwSimGDx/OqFGjsW2NZbls2LCWzz+fQV1dHT17lnLIIYfg8fjjbqP7Q66rcbvsjZldAjWb6w9WrIKnT4PSA6DvYbj7X0IlRQR1Jb6cblC2ovk39GbhNTWBNR9hvHzZjuORKozPH4BFb5B30duUu7lt/8cRaUMCXwghgFhMMWrUAYwaNYp169bhui49e/bEMDzYtsKyXN5++y2WLFnc8JqtW7cyb943nH32OZSU9MDZxZ44ADU6j9wL/of59I+gdqdH+DbOwz38Jmp1DjHHJWTl4Tn4Wow3fxH/jXqMxDayyNJVGG/9X/xzKlZhzHse77AriNoyxJ/pZEhfCCG+5zgKx7Ho2bMvvXoN+H7incI0DTZv3tgo7LdzXZdXXnkZpVqR9kDM0VR5e2Ff9hHuef9FH3UrevwD6J9ORQeL8as6TNPAjrk4e41DDzyu6ZtkFeOc/ii1OhtVu2nH0rxxGHOfxu/E3wZYZBbp4QshxA/Uz77fuUfs8Pnnnzd7fiQSoaxsG/n5XXHdXfekY44mYgYIolGrZ9T39DfOwwTMvF7kXfAalWZXKuwscsfdh7dyOXzxCMquwR18Cu7A46nS+WhXgxPdxYdFftAWkakk8IUQYhe0dhutnx9PXV2IguZ3vG1EKQjYWzCeO6fJI3dUrsH8z5lkX/AGleRS5WST1/MgjPGjCIfCxPBhx1waQjy3tMVn+fVex2Mb2dC2BwtEGpEhfSGE2AXDsOjVq3eL55SUlMR9Lj8en+lizHywadhvV7YCs3ZDoycAXMNLKOb5Pux3CKks3DE/i/8+ngDuwdcRipmtqpdIbxL4QgixC7GYZsyYMZhm/ODs3bs3Ho+v1e9nuSHUpnktnqO2LMEwdv0VHYp5iB14Le4Rk8CbvaOg61Dci9+h2ujS6nqJ9CZD+kII0Qqm6eP88y/gxRf/S11dXcPxvn37Mn78aTiOSWvvlTuGD51bilo3u9lzdF5po215W1JpB/GNuIrg8AtQ0WowvcTMLGrJbfMiQSL9SOALITpd/VC1anWgJQPHgfz8Yi6//Aqqq6uoq6ujqKgIy6pfQnd32hJxPQQOvg5z4f/inxAsxC3oj9vKWwQAkZhBhHww87+vMMiNe7EzGdIXQnQaZRpETYNVNTaLykOElIFrps7XkONoHMckK6uAkpJSlPLjOMZuX7i4riaa3Qf30OubFnoCuOc8Ry157VNpIb4nPXwhRKdwTYNZa6uY9Mo3VIViABgKzty/lF8csxdWrHXPsScDrdnj0YkaJwD7X4V3yBkYXz6KqtmI2+tg9NAzqCEfO3X+OUSKkMAXQnQ4w1Csr4ly9X9mN5qY7mp44au1+C2Da4/oD7HMGoKucYIobz+8R96B4cZwlJeonVn/BqLzpM5YmhAiZdlKcfd7S5p9Cu25L9cSztCc0xoiUQjFLAl70aEk8IUQHS6mYdaq8mbLo45LRaj5/eiFEHtOAl8I0SlyA54Wy/1W2xeHMU2DqGGwKeIwfUUZK7bVYRuGbA0rxE7kHr4QosMFDTj/wN785d0lccv7dcki6DHA3f0hbdNUbIk6XPn0LL7btuP5+MFdc3joglHkmarVK+AJkc6khy+E6HBOzGXCyJ7sVZLdpMxnGdx91jCCbfw2CqE479GZjcIeYPGmas5/bCYhpJcvBEgPXwjRSXyuy78uOYD3Fmzi31+soc6OcfjAYi4/rB85piLWhhn6lmUwbXkZZbXxd4xbXxlmyaYahnfNkl6+yHgS+EKITuG6Go/rcOq+JRw7uBgN+E2FjrnoNoaxMgymLdnS4jnTl29jVI8cHEcebBeZTQJfCNGpYjEX7/f/W8f2rNetgC7ZLW9a0yXb2+zjgEJkErmHL4RIWbYd45wDejVbrhScOKQb9m4sW2cYqtG2tEKkCwl8IUTK0hryvSY/Paxf3PKbThiMvxXfcoahsA2DzVGXWRuqWVcXIyqP9Yk0I0P6QoiUZroulx3chyMHFfOPactZWx6iX5csrj5yIKV5PsxdbA9rmopKB654+iuWbq5pOF5aEOCxn+xPsd/ClS1mRRqQwBdCpDzTcdm7MMBfJuyHMg18loETtlsV1CEU5z/2OVtqIuQFPNREYjiuZm15iHMenclb145tmHMgRCqTwBdCpAXX1Zho8r6fxFdZF/9RvZ0ZhmJdRYgbThhMl2wflSGbkhwf36yr5KGPlrOtNsqyLdUMLM6hKmyjlCLHZxJQ9WsLCJFKJPCFEBnL4zGxTJP7pi5j5dbahuMH9S/kwQtGsWRjNUs21XLtc3MbtvQtzvbxu1OHsH/PHAxXpv+L1CGT9oQQGasqprn4n180CnuAz1eU8cbX6zENxf97a2FD2ANsqYlw1b9ns6wshGnKV6hIHUnz21pbW8vkyZMZO3Ysw4YNY8KECXzwwQeJrpYQIk1ZHoN35m+kKhyLW37IwC789f2lzb7+jrcXEZYOvkghSRP411xzDa+//joTJ07k4YcfZuDAgVxzzTVMmzYt0VUTQqQhW8O0pc2v0pfltdhcHWm2/Nv1VezhukFCdKqkuIc/bdo0PvvsM+6//36OO+44AA466CDWrFnDH//4R4444ogE11AIkW5Mpcj1N/8VaO7iGXzTUBgKkNAXKSIpevjvvfceOTk5HHPMMQ3HlFKcfvrprFixgmXLliWwdkKItOS4XHRw32aLl22uZnhpXrPlJw7pilfW5REpJCl6+EuXLmXgwIEYRuPrj8GDBwOwZMkSBg4cuNvvqxTk5QXapY4dxbJMIPnruTukTakhHdsEu9eufl6Lcft14615G5uU5fo93HH6fkz4x2dEfvAIXl7Aw00n7E3+Ltbxby/p+LNKxzZBYtu1qyWhkyLwKyoq6Nu3b5PjeXl5DeVCCNHe8nwWvzt1CKfs14OHPl7Opqowg7vlcP0xg+hXFMRvGbw98TD+9sFS3l+wCdNUnDqsB1ceMYCSLFmOR6SWpAh8qB/Cb0tZS7SGyspQW6vUKbZfBSZ7PXeHtCk1pGOboG3tOrhXLiPOG4mrNR5DYWlNLBSlBshV8OvjB3PjcYMA8BugYw5VVZ3375aOP6t0bBMktl1FRdkt9vKTIvDz8/Pj9uIrKyuBHT19IYToCLGYi2f7fzianQfwtQYch+2D91oW2BMpKikm7Q0cOJDly5fjuo3/kpYsWQLAoEGDElEtIYQQIm0kReAfd9xxVFVVMXXq1EbHX331Vfr169emCXtCCCGE2CEphvSPOOIIDjzwQG699VYqKiooLS3l1VdfZdasWTz44IOJrp4QQgiR8pIi8JVSPPjgg9xzzz3ce++9VFVVMXDgQO6//36OPvroRFdPCCGESHlKa52260S5rmbbtppEV6NF6ThTVdqUGtKxTZCe7ZI2pY5Ez9I3WlghMinu4QshhBCiY0ngCyGEEBlAAl8IIYTIABL4QgghRAaQwBdCCCEygAS+EEIIkQEk8IUQQogMIIEvhBBCZAAJfCGEECIDSOALIYQQGUACXwghhMgAEvhCCCFEBpDAF0IIITKABL4QQgiRASTwhRBCiAwggS+EEEJkAAl8IYQQIgNI4AshhBAZQAJfCCGEyAAS+EIIIUQGkMAXQgghMoAEvhBCCJEBJPCFEEKIDCCBL4QQQmQACXwhhBAiA0jgCyGEEBlAAl8IIYTIABL4QgghRAaQwBdCCCEygAS+EEIIkQEk8IUQQogMIIEvhBBCZAAJfCGEECIDSOALIYQQGUACXwghhMgAEvhCCCFEBpDAF0IIITKABL4QQgiRASTwhRBCiAxgJboCU6ZM4e2332bevHls2bKFLl26cMABB3DttddSWlqa6OoJIYQQaSHhgf/YY4/RpUsXrr76akpLS1m3bh3/+Mc/mDBhAi+99BK9evVKdBWFEEKIlJfwwH/ooYcoKipqdGz06NEcd9xxPPvss0yaNClBNRNCCCHSR8Lv4f8w7AF69epFQUEBGzduTECNhBBCiPST8MCPZ8mSJZSVlbHXXnsluipCCCFEWlBaa53oSuwsGo1y/vnns3r1at5++20KCwvb/F5aa2zbacfatT/LMgGIxZK7nrtD2pQa0rFNkJ7tkjaljkS2y+MxUUo1W96u9/BnzpzJhRde2KpzZ8yY0STMHcfhpptuYuHChTz88MN7FPZCCCGE2KFdA79///7ceeedrTo3Ozu70X+7rsstt9zCe++9x7333suhhx66x/XRGiorQ3v8Ph0pLy8AJH89d4e0KTWkY5sgPdslbUodiWxXUVE2LXTw2zfwi4uLmTBhwm6/znVdfvWrX/HGG2/w5z//meOPP749qyWEEEJkvIQ/lqe15te//jWvvfYad955JyeffHKiqySEEEKknYQH/uTJk3nppZc4++yz6du3L3Pnzm0oy87OZuDAgYmrnBBCCJEmEh74H374IQAvvPACL7zwQqOyMWPG8PTTTyeiWkIIIURaSXjgT506NdFVEEIIIdJeUi68I4QQQoj2JYEvhBBCZAAJfCGEECIDSOALIYQQGUACXwghhMgAEvhCCCFEBpDAF0IIITKABL4QQgiRASTwhRBCiAwggS+EEEJkAAl8IYQQIgNI4AshhBAZQAJfCCGEyAAS+EIIIUQGkMAXQgghMoAEvhBCCJEBJPCFEEKIDCCBL4QQQmQACXwhhBAiA0jgCyGEEBlAAl8IIYTIABL4QgghRAaQwBdCCCEygAS+EEIIkQEk8IUQQogMIIEvhBBCZAAJfCGEECIDSOALIYQQGUACXwghhMgAEvhCCCFEBpDAF0IIITKABL4QQgiRASTwhRBCiAwggS+EEEJkAAl8IYQQIgNI4AshhBAZQAJfCCGEyAAS+EIIIUQGkMAXQgghMoAEvhBCCJEBki7wJ02axODBg7nqqqsSXRUhhBAibSRV4E+fPp0pU6aQnZ2d6KoIIYQQaSVpAr+2tpbf/OY3XHvtteTl5SW6OkIIIURaSZrAv+eee8jLy+Oiiy5KdFWEEEKItGMlugIAs2fP5vnnn+e5557DNM12e1+lIC8v0G7v1xEsq769yV7P3SFtSg3p2CZIz3ZJm1JHItulVMvlCe/hR6NRbr31Vs4//3yGDh2a6OoIIYQQaalde/gzZ87kwgsvbNW5M2bMoLCwkPvvv59IJMLEiRPbsyoAaA2VlaF2f9/2tP0qMNnruTukTakhHdsE6dkuaVPqSGS7ioqyW+zlt2vg9+/fnzvvvLNV52ZnZ7N8+XIef/xx/vjHPxKLxaiqqgLAdd2G//b7/Xi93vasphBCCJFx2jXwi4uLmTBhQqvPX7lyJbFYjBtuuKFJ2YYNGzjggAO4/fbbOe+889qzmkIIIUTGSeikvVGjRvHUU081Of7LX/6S3r17c/3119O3b9/Or5gQQgiRZhIa+IWFhRx44IFNjvt8PgoKCuKWCSGEEGL3JXyWvhBCCCE6XlI8h/9DU6dOTXQVhBBCiLQiPXwhhBAiA0jgCyGEEBlAAl8IIYTIABL4QgghRAaQwBdCCCEygAS+EEIIkQEk8IUQQogMIIEvhBBCZAAJfCGEECIDSOALIYQQGUACXwghhMgAEvhCCCFEBpDAF0IIITKABL4QQgiRASTwhRBCiAwggS+EEEJkAAl8IYQQIgNI4AshhBAZQAJfCCGEyAAS+EIIIUQGkMAXQgghMoAEvhBCCJEBJPCFEEKIDGAlugKiE3hNQpZB2NX4DYXfcTGiDlonumJCCCE6iwR+GlMK7KCXv63ZzHMbywi7GlPBuC55/LZ/d4KhGK4rqS+EEJlAhvTTWNRnMXHxGp5cv43w98HuaHh9SyXnfLOSsF+u94QQIlNI4KcppWCr6/JxRU3c8hWhCF/XhDBN+RUQQohMIN/2acqyTD4oq2rxnJe2VIAlvwJCCJEJ5Ns+jXmU2mV5y2cIIYRIFxL4acq2HY4rymvxnB93K8S1nU6qkRBCiESSwE9jucDZXQvilh2YG2SAzyuz9IUQIkPINO00ZoVj3NKnK8NzAty/ZgsbIjb5lsmlPYr4SfciPHVRJO6FECIzSOCnOavOZkJOFicMy8UBTCAYc3FqJeyFECKTSOBngJjt4rPdhv+Wu/ZCCJF55B6+EEIIkQEk8IUQQogMIIEvhBBCZAAJ/AxmGLLsjhBCZAqZtJdhlFLYPpNaBavDUQo9Fl0sk0DUwXXcXb+BEEKIlCSBn0GUUoSDHiYuXsP0nTbV6e7z8Oi+feirTHRM5vALIUQ6Spoh/SlTpnDeeecxcuRIRo4cyWmnncb777+f6GqllajP5GcLVzUKe4ANEZuzvl5OjTdpfh2EEEK0s6To4T/wwAM89NBDXHTRRVx33XXEYjGWLFlCOBxOdNXShlJQrjVfVdXFLQ+5mn9vLONnRfk4sr6+EEKknYQH/jfffMP999/P3Xffzbhx4xqOH3bYYQmsVfoxDIN5NaEWz/m0ooaLiwvwdFKdhBBCdJ6Ej+H++9//pnv37o3CXrQ/rTUFltniOfmWiSkL7gohRFpSWuuEfsMfc8wx7LPPPowePZp//etfbNy4kR49evDjH/+YSy+9FLWLPd1borXGTvLhaev7EI51wmS5ra7LoTMXEmpmh7znhvXnkJzgHn9OZ7aps0ibUkc6tkvalDoS2S6Px2wxMxM+pL9582YqKir45ptv+MUvfkG3bt147733uOuuu6iqquIXv/hFoquYNnKV4q979+ZnC1Y16cefUJTLvln+hNRLCCFEx2vXHv7MmTO58MILW3XujBkzKCwsZOjQodi2zfPPP8+IESMayq+77jo++ugjZsyYQVZWVpvq47qabdtqdn1iAuXlBQCorGz5/np7cb0mWxT8bfUmvq4O0cVr8fPSYkZnB7Dq7Hb5jM5uU2eQNqWOdGyXtCl1JLJdRUXZLS6o1q49/P79+3PnnXe26tzs7GwA8vPzCYVCjcIe4PDDD2fKlCksX76cYcOGtWc1M5oRdeimFP+vd1eiSmFoCDgusXYKeyGEEMmpXQO/uLiYCRMm7NZrBg0axNdff93k+PaBhz25hy/i01qjIg6+7/87ltDaCCGE6AwJn6V/3HHHUVNTw6xZsxod//jjjwkGg+y1114JqpkQQgiRPhI+ae+MM87gueeeY+LEiUycOJHu3bvz7rvv8u6773LDDTfg98tEMiGEEGJPJTzwvV4v//znP7n77ru5++67qampoW/fvkyePJmzzjor0dUTQggh0kLCn8PvSDJLPzGkTakhHdsE6dkuaVPqSOZZ+gm/hy+EEEKIjieBL4QQQmSAhN/DF6lLKXAtm4iqIxQLEbAC+HQQCCS6akIIIX5AAl+0iWEowp5q/vTVnUxbOw1XuxjK4OheR3PzmEkUeooSXUUhhBA7kcAXbRL11PLzqVeysnJlwzFXu7y/+n1WV6/moWMeAuSRSiGESBZyD1/sNtNULK9a1ijsd7akfAmrqle1OFtUCCFE55LATzJKkfRBaVkmU1ZNafGc91a917BNpBBCiMSTwE8Spqnw6DDhbWspX/kthMuxiCbtXgJ+09diecAKQJNNeIUQQiSK3MNPAtqJUbtpFW/ceyd1lRUNx3vuM4STrr4BWwXQWmMYCoMY2olhWF5iriIRyyZFow7jB5zGc4ufa/accf3GYdtOJ9ZKCCFES6SHnwRCVRW89P9+3SjsAdYt/JY3//YnTB3Go6LUbFjBh4/+lTf+8jtmPPc4bu02TNW6UDUMheuJEPFWEfZWEvOEMM22/fi11nTxFnNs72Pjlo/rN44u/i4JuRgRQggRn/TwE0y7Dl+/+yaOHX8/+g1LF6FjUb568xW+ee/thuNbVq1kwcdTOfm6GykZNBxHNx/eynLZ4m7kzzPv4ouNXwAwpGgIN4++mZ6+vqjY7v8amNEAk0b/ijHdDuSf3z7BhtoN9MzuyWVDLuPo3keTbeVSSXotmSmEEKlMAj/B7EiYNQvnN1sezMuntnxbo7BvoDXvPHgvF9/zMI6Kv9iNYSi2uZs4/60fE3WjDce/3fYtF025iEePe4xBgSHEYm6T1yoFWA5RIwyA5XoxYl62b79ghP2c2O0UjuhxJCgNWhFwc8iyWr6/L4QQqcA0jfrRUVfjOE2/I1ONDOknmGGa+LNzmi0feMBBfPNB8zPiHdtm/ZKFeL0Wlg5jxmqw3Dosw0EpRcwMc/esuxuF/XYazR1f/D/CRg1KgeVVKI+LZRkYJtR5Kvjb/Ls57fVTOfm1k/jDrNsoNzaCueM2Qiym8USz8ESy8USz4l44CCFEKlGmS9RXw4zyaTy78p98VfkZtq8GI8UfPJIefoJZXj+jTz6NVV/Pjlvuz8mlYtOGFt+jrrKcitVLeP/R+6nYtAFlGAw84GDGnncRjtdkxoYZzb72u6rvcJRNmV7Df799ga2hrYzpdiBH9TqSP33xRz5e93HDuR+t/YhP13/Kkyf8i17WgLS44hVCiJ0pS7MitJhrPryGUGzHbckcTw4PH/swPay+uCk6H1l6+EmgS+9+DDzg4CbHlTLoN+IASvcZ2uLri3v14a37/txwYaBdl6Uzp/Pcb2/EG9aYLVyW3nzAzTy98GnOfescXlr6EtPWTuPPX93Fma+fyXn7nMeQoiGNzo+5Mf7w+e+JmMm97bAQQrRF2Kzm5x/8vFHYA1Tb1fz0/Z8StqoTVLM9J4GfBLxZORxx8c/40f/9mp57D6GwRyl7jz2KC/70d7K6dGfvQ4/C8sa/L17QvSeRUF2TGf4AoapK5n8whZ8NuSLua3tk9aAkWMK/F/27SVldrI7bPruNnw77aZOyxeWLiejw7jVSCCGSnMdj8sHqD+LeAgWotWuZs2UOlpWa0ZmatU5DtvbSZeB+nHDNzYyf9AcO+fHlGFlFxLSJ9mRx5q8nE8jNa/SaLr36cNpNv2Ha0080+76Lpn/MqT1PxlJN796c1O8kXl76crOv3Vy3GYA8X16TMidVx7SEEKIZSmnmb5vX4jkLtn2LYaRmdMo9/CRSf0/cA4YHdro97rgQ6FLKef/vXqq3bqa2vIyC7j3x5+QRqiqnasumZt9Taxef8vPkCU9yxxd3sKBsAQD9cvtxYt+T+Hjtx82+FmBL3RZyvblURiobjhUHigmYQZDMF0KkFUXf3L4tntEnty+um5qLjEjgpwjHBVSAYElfsrvV/8LZGgI5eVheH7FoJO7rBh04FsMK0IuB/O3w+4joMFprfIYfn/KzV8FeLK1Y2uzn9szuSVm4rNGxa0dch19n48RZOtfrNXFxMOOMKAghRDKLRh1O6fcjHv7mYXSc7zfLsDi0x6HEIqnZ20nNcYkMprXGcXTDKnba9HHQGefGPdeXlcXwE07BdupHD8xogKBdQFasECsaxI2aXLzvJc1+1sD8gdTatdTatQDk+/L57UG3cUjJWBy78R+D64lSZW7mkcUP8OvPbuXFZS8Q9VWn/GMsQojMEtA5/OGQySga72NiKpO7D78Hn5OVoJrtOaV1+i6A6rqabduSezZ5Xl79gjmVlW1flc6jbFZ//SUz/vtvasq3gVL0HTaSIy78KUagAKeF4Sftsfl08zR+//nvcPSOq9ae2T155NhH8Sk/NbEqXDRBK4uAm43zg0UBXU+U11e/wt/m/K3R8YAV4PHjnqCH1SdlH2PZrj1+TskmHdsE6dkuaVPn0pZNrarilWWv8F3VSgYXDOZH/U8l4OZArOVeTCLbVVSU3eJuqxL4CdZevxwey0DbdTh2FNM0wfLhKk+r7jVpK0bUrGPmhs/ZGtrKiJKR9MrujT+WjeO0/HqlFJv0as5965y45QW+Av4z7nn8dg5aQ6r+uiXzl1NbpWObID3bJW1KDI/XwCGGqT2t3gwsmQNfbrSmCTvmgvKD108M6nembWW4qpiFL5bL0SUnopTCcVzciI57j77Jay2Hp795qtny8kg5q2u+A60wlUlpdileJ4iOyd0kIURys6MuYOCmyQxlCfxOZpoGlmWgte6U7WOVUjhWhKgKEXEiBKwAPjcLbTcN3LYsi2tjs7ZmbYvnLNi2gHe+e4dFZYvI8mTx24NuY3ThgSjbs9ufJ4QQom0k8DuJaSoMJ8TWFStYMfsLAtm57D32KGyPiyfQMZNATFNRa1bwx6/+yCdrP0aj8Zt+Jux1BpfueylGOP6GO7vDg4eBeQP5esvXzZ7TK6cXW+q2APULV9z8yU08c9KzlJr9U/bxFiGESDUS+J3AMBREqnlh8q+o3rql4fgXr/2XUePGM+a0s+mIByYiVg2XvXspG2p3rMUfdsL8e9GzrKtZy6/3vw3T9u/RZ+iYwfn7XMDLy16O+xhL12BXDGWwLbyt0fEH5t7PH8bcgeHKznpCCNEZ5EZqJzDcCG/f9+dGYb/d7LdeY9PypZhm+/4oLMtg5qbPG4X9zqatnUa1WwGeKGFvJRv1d1RZW7C9dbtVF60hTxXyh0MmY6jGryvyF3HH2Dt4cO6DTV73zdZviCm7yXEhhBAdQ3r4ncCNhti4fEmz5Z+//BwnTbwF8LbbZ8ZUlHe+e6fFc77Y+AVl4TIem/8Yrq6/f98vtx9/OuwuSsyerX6UTsU8HNzlMN4Y/yafrv+EjbUbGVY8DJ/l464v74q7sE+eN6/Jc65CCCE6jgR+B1MK6iorWzyncvNGtOu063iLQmEZLf94bW0zff10XO3SNdiVU/qfQpdAFz5Y8z5nDDwDy8lu/efFLPzkcWK38WRn+6i2K7lwyoWsqloV9/xzBp9LQGcTa8WTAEIIIfacDOl3MK0hmNd085md5ZV0Q7XzknSG6+GMgWc2W65QDC0ayuLyxVw/6npuOfAWlpQv4YXFL7Bg2wK+q/4O7Y+/XG9LYjEHrTU5nlzuPPSP+M2mcwQGFwxmXN9xxGwJeyGE6CzSw+8EhtdPtwGDmh3WP2jCOWjT//2C+e3DcVz2LtiHoUVDmb9tfpPycwefy+cbPufiIRdTGank+g+vbyhbWbWST9Z9wjUjruG0Pmdi2Lt/q0Fr6G715qUfvcy/Fz3LZ+s/I2AFOHvwORza/VCsSFbcSX5CCCE6hqy01wkMQ6Gi1bz4g1n6ACNPOpUDTz+Humj7D7YopYj56nhh6fM8v/g5qqJVlGaXcsV+V7Bf8X6c/9b53Hf0fVz27mXNvsf/xr9Otl20W5/7w5WmDI8mQh0KhV/nEIul3iIWqbAq2O5KxzZBerZL2pQ6ZKW9DOe6GtOXw9m338XWVStYMWsm/pw89hl7FMH8fDz+IETb/5dDa40ZDnBB/4s5c8BZaOWitEHAzaHOrOTg7gfz8bqWt8d9e+VbnN//YqLRtoe0ays81K81EEuTFauEECLVSOB3EsfROPgp7D+UkkHD0FoTjTp4/Hu++M0uP9umIXABYrh4CXLe3ufxxso3WnztlvAWlJLZ9EIIkepk0l4ncxyXSCS2Rz3mdhEz2StnMAd1P7jF0w7udnCbltwVQgiRXCTwM5gTNhlVPIoif/x79EX+IoYWDcNpx8mEQgghEkMCP8P57GweP/4Jeuf0bnS8d05vnjj+CfyxnATVTAgh2pdpGtjeOqqtrVSYm7B9NZgZtIeX3MPPcI6jKTC78ugxj1MeLWNj7Ua6ZXWjwFuI38mR3r0QIj1YLquiy7lt2m9ZWbUSgFxvLj/d76ec1PtkjMie7SuSCiTwE2D7YxPJslOc47h4nCy6qiy65fRGa42OgkPrwt6yDOpcCMdclFLocIyCgPxqCSGSg1KKcr2FS9+9hJgbazheFa3i7ll342iH03qdhWun9wTlpPhW/vzzz3nooYdYtGgR0WiU3r17c84553DOOedgGOlz18EyTJQL21bXoIEuPbNxbBfT0/o2GobCskxAY9sO7bmKgtb1j/LtDtcw+HJ9NX94cwFryuofLdynew6Txw+lV44XlSQXNUKIzKU9UR6c/UCjsN/ZI988wol9xuGl9cuJp6KEB/6MGTO49NJLGT16NJMnTyYQCPDuu+9y++23s3nzZiZOnJjoKrYLr2kx/8O1fP3BWvT3IagMxfCjSxl5fO9dvLr+CtWjDKq3RVg5dz2mZTBwdAneLAu7tbvctDPLMvhiXRVXPjO70fGFG6o5+5HPeeXnh9AzaCXNSIYQIjPZRPhs/WfNltfF6qi2KymSwO9Yr732GpZl8fDDDxMMBgE49NBDWbp0Ka+99lpaBL5lmayau5W5761pdFy7mrnvryGnyE+vEUXNrkCnFHiVyTuPzGfLquqG43PeXc2AkcUcctZAIk78K9eOVOfCH95cGLfMcTV3vL2Qv545DFOW0BVCJJICr+mlLlbX7CmGYdLKu5gpK+Hj5ZZl4fF48PsbT5jIycnB40mP6ZPKgVnvxN81DmDW26tQLeS1ZZjM/N+KRmG/3fI5W1gxewseq/N/lKGYy9ry5lcI/HxFGbI/jhAi0SzD5Pg+xzdb3jXYFb/pI+atw0rAd2lnSXgP/5xzzuF///sfkydP5sorryQQCDBlyhQ+/fRTbr/99j16b6V2rGucSKHKKHWV0WbL66qioCEvP35dw9U2y77c3Ozr576/mgH7lxDM8+1xXZtju5rqSAytwWMqcn0WNZXhFl9jqPrHYPJyOq5enaV+3kRy/D61l3RsE6Rnu6RNe6bCDnHqgFOZumYqW0NbG5UpFNePup7bPruNjXUb+ePYP7JX3iAs1bYOZyJ/VrtaFDXhgb/ffvvx9NNPc+211/Lss88C9b3+W2+9lbPOOivBtavn2i521EUBnqC520vNGobCMFSz97INQ2GYzb9nLOq2eB+8tiJKu87e+4GttVEemraC/85aS8h2GF6ax6ST9qZflywGFGezfEv8DYqOGlxCcDcmJAohREfItnKZu/lt7j7ibl5Z9gpTvptCOBZmdLfRXDLkEj5Y/QFfbfoKgEunXMor41+hm79Hgmvd/to18GfOnMmFF17YqnNnzJhBYWEhCxcu5Oqrr2bkyJGceeaZeL1ePvzwQyZPnoxlWZx99tltro/We7ZjkWkY6Ihm1tvfsWZBOZbXYPBB3djn0B44hoPjtC5kPaZJ//2Lm+2l9x9ZjItutq4ey0QZqmGy3w8Fc704bvOv3xNR0+Ssh2ewfqfe/NdrKznv0Zn89ezh/P3c4fzo/un8sGp+j8HNJw7GCdtU1jU/upEq0nFnr3RsE6Rnu6RNe+7Y3sdx+XuXcVD3g3jhlBdYV7OOhWULmfz5ZNbXrm84L+pGeXL+k1y170S0vfsdlkTvltdSf7Rdt8fdsmULn3zySavOPeWUU/B6vZxzzjnYts1LL73UqOd8yy238M477zBjxowm9/dba0+2x7Usg9A2m9f+Ogc31vifKKfQz/hfjiSq4994NwyFiVEf0AowQcUUr90zh5rySKNzswt8nP5/o4gSa7aT7jFNZr68gmVfxb9gOHjCAPodUNzu285alsFTs9Zx7/tL45bnBizeuvYwNleHmfzmImavLkcpOGJQMbeO24cCy0C76TELRr5wU0c6tkvatOcMQ1FnVfDsomcY2mUot3x6S7PnlmaX8tgx/8RrZzV7TnMSHfidtj1ucXExEyZM2K3XLFiwgPHjxzcZJh86dCgvv/wy69atY8CAAe1ZzVZRjuLDpxc1CXuA6rIw8z9ay5BjemL/IGQ9hkHNtgiz3lpF2YZasgt8jDy+DyV9czjthlF8N3cLS77cBBr2GtOVgaPqH62LVDY/ay/mOhx0+gDK1tdStr62UVmfoUUMHF1CJLbns/RNy6TOcQGF31TUOi4vzl7b7PlVoRhbayL0zfHy4HkjiLgaBWR5TXJ8Vof8wntMhTdUjQJcwyTiy5LVAIUQu+S6moCdx08H/4zVkZUtnhv0BFGk3yI8Cb+HX1JSwvz583Fdt9EiO3PmzMEwDIqLixNSL8d2qdjU/CMcCz/bwJAjezY6ZhkGK2ZtZcbLyxuO1VVGmfLIfAaN6coBp/ajz6gieg8vAg3KAm/Wrn8EWkNMOYy7ej8qNoVY9tUmTI/B4AO7E8jz7PEjeaZpUIfiuS9W8/LsddiO5qi9i7nqyAHYcS54dmY7LmEMXpy9jlfmrCPmupw4pBsXHdyXgGngtlMYK6XIjtVR/fKrbHn2GWLbyvDvszdF116Hd+99CRmpPzFQCNGxtAZtm3QNdCPXm0tVtIrSnFICZoB1NesaHts7a6+zCehsYmn2nF7CA//CCy/kjjvu4JprruHMM8/E4/EwdepUXn/9dc466yxyc3MTUi93F/fn7XDT4XPlKD5/ZXmcs2HJF5sYemRPPLnWjtXsdiOnXVcTxSG7q48DTusHQDTqtMuiO3XAGQ99xqaqHbcbXvhqLX6PwVF7F/OfL9bEfZ3PMuiWF2DCQzPYWLXjHv+jn6zk+S/X8OLPDqbIY7TLwjtZdi0brruW8Lx5DcfC879l3ZVXUnzzTfhOHk+kjbNqhRCZxetkcd9R9xHTMdZUr6HGrmGvgr1YV72ON1a8wZGlRxILp1fYQxIE/kUXXURxcTFPPfUUt9xyC7Zt07t3b37zm99wzjnnJKxeHr+Jx2diR+IHavdB+aA029eUsSyD1V9va3Gy/Lcfr+eA0/oStdse0q6riUTab5EdZRn848MVjcJ+uxdnrePZyw/k1TnrCcWp82Vj+/H58m2Nwn67qnCM37z2LX87a88X3rEsg8hXcxqF/c623HMv/Y47nohPAl+IjqAU+EwT0wGtIKJ0St9Kc1SMDbUbuH3G7YSdHd9fI4tH8qfD/4Q3moWThguGJTzwAcaNG8e4ceMSXY3GTBhxbC++fPO7pmUKDjq1f6NfCKUUkdqWgzhSa3fk03NtEtHw0pz49+nrog5/eXcxL1x5MJNe/oZv11cBkOu3uOLw/kwY2ZNj7pnW7HvPXFlGxNUE97COVjRM2XPPNX+CbROe/y3mmENa/eSEEKJ1fIaBz9bUTF2DvboaI8tD1tgemKXZVLfD3KHOppRiW2wTkz6d1KRszpY53P7Z7fxuzGRMJ/12z0uKwE9Gdsxh8KHdcRyXrz9Yi2PXX80Gc70ccf5gfHkWsZ1moDuOS49B+S2+Z++hRSTbPBANhO3mr9SnL9tGts/k0fNHEXY0tuOS5TUJGIpaRxNq4bUA0ZgmaO5ZHZV20ZGmIxA70+EQ9f+4EvhCtBePaWBtDLHlmYU7lp3dGiK6qgrf3gVknzqAmgQs670ntCfKw7Mearb8sw2fEaaOLCTwM0rUibH34d3Zd2wPQtU2pmXgCZhoUxOLNQ4619VkFfgo7J5F2YbaJu/ly7LoPaSIqJ1cfxyGhpG98pmzpiJueW7AwmMqPI6LRwGWAtfFdevXKdirJJulm+M/+lgQ9BDwGLCHj+bFvAGyjj6a0Ny5zZ7jHzaMmhQeYhQiGQVNE0cpulw8FKc6Su0XG4muqh/piywqJzimDrObP6WG96M6wsKy+HuAbLehdgN7+Yp2e/fQZCfLoO1CzHGJagcz2wA/2NppEvbbOcpl3NX70X1AXqPjBd2CnPbLkThGYna1a4lfwc0nDm62/KojBhJsZiWHoAE3ndDCa48cQFY7/IbZjibn5JMx8/ObFipF9gkn4ATTe5crITqTUoo8y0Pd9PWUPbeYrU/Mp3rqaoIjisk/fWDDSGXd9HV4k23YchcMTAr8BS2ek+fLS7uwh3ZeeCfZ7MnCO22llMLCwI1paisiBHI8WD4T14g/ySUZFtRwDYOZayq47X/fUl5nA/Ur5V15+ADOG12K2cKCPo5p8P7iLdzx9iLqovXneU2DKw7vxwVjerf42t1hGopA+SY2TppEeP58fHvtReFll+Lr2w8MhSooxPYFCCtvu3zeDyXDz6m9pWObID3b1dltyrEsKv+1AHtj00eTs8fWLzlb8+l6PN2zyL5gMHVtGMXr7DaZpkHErMUwFbM2f8nNn9wc97xuWd3413FP44nu/qI7kEEL7wjQWmPjgAmBLh60rh8VIPk69w0M1+XQPvm8cfWhlIdsbEdTnOPFr0DvIrBNx+XEvYs5cnAx6yvCOK6mT5cscrwm4dqW77vvDsfV1BV0peS+B7DcGG55OetvvJHoyu8X0DAMck48kS433USNFUy6yZFCpArLMoitqo4b9gA109dTfMUwaqavx9s3F8dQSb+trPZEWVS7hHtn38OiskXce+S9jO0xlk/Xf9rovIAV4O7D78HvZMssfbF7Uil03JiLF+jq+36GneO2+tddx1x8QP/c+t51brD+8biW99JrQx1dTZ0VICdcyeqLLsStrdu5kOq33sKtraHwd5MJmek34UaIzuDRitCXm5o/QUN0fQ1WtyyCB3enahedAq9l4nNB2S4YBo4F4U68QjAszfStn3Hr9F81HPvVp7/itoNv4+T+J/PGijeojlZzYPeDOH3A6QTdPJxdLDiWqiTwRbv54QVOwI1gxupvEdi+AFHMPb4I8ppQ+fLLjcN+J7XTPqa4thpyJfCFaCu9q0l4rib/9IGELVocvcy2LOxvtrLto7XoUP2EZU/PbPImDISgrt9Du4NFzFr+9OUfGx0LxUJM+mQSfXL78H/738C++UOwHD9uNOkHK/aITNoT7S8Sxlm2hG2TbuK7Y49h1UknUv2XP5FdV4G5h3/gZiRE3S42aAovWIBpyq+2EG1hK41/vy4tnuMfXEgo2yTawoWBzzKJfLWJqre/awh7AHtdDdse+gZV0zlPLJVFyqiKVsUtW1W1iju/uAPHdXCT6wGqDiHfiqJdWZaBvXAB3511NnUzZoDW6GiUqldfZfXZZxOsLW9x+8Zd0YaJEQy0eI6RlZWWM2yF6AyxmIt/n0KMnPgrVwaGdSFq1T/B1BKfVtRMWxe3TNsuNR+vRXXCQlnOLpYfj7kxdBrer49HAl+0K1+omg2/+S04Tf/InIoKtj30D7zNbCvcGrbHT/6Pz2+2XPl8+AYPbpf1+4XIVDW4FF0xDN9e+Q2P4CmPQdZhPcga14+6OH/fP+RWR6GZR5gBQgu3QTNLl7enLoEu+FuY03Nk6ZH49ng90NQggS/alQrVYa9a1Wx59Rtv4om2fTqf47h4R4wgsP/+cctLfvMbIt6WRwCEEC1zHJcawyV4+gCK/29/iq8fSZfrR2Ee0p1q227Ve6hd3L5TnXTbzesGuXTopXHLAlaAi4ZcjLYzIwpl0p5oX7t4Hle3w9rbtVaQrnffTd3771PxzDPEysrw77svRddeiy7tQ1h+rYXYY66rqds+I88E3NhuzWhTWR5UwGp0/35nwVElEDChlRcQbWabTOh/JlmebB6d9wgVkQoA9uuyH7898DaynYK0nqi3M/lmFO0rmIWZn49TURG3OOvgg3GsPdvVTmuoMYNYJ59Gt6OOQaFxLQ8Ryy9D+UIkiRAueaf2p+L5JU3KjFwvWWO64e7JhJ7dYET8nNLzNI4pPZawU4dlePASwOsEdrkVejrJjHEM0WkigRy6XH99/ELTpMsvf0nEap9H5mIxlzpvFrXebEKGT8JeiCRiOy70zqbo8qF4Sr9f+toyCI7pRpcrh+EGO7e/6djgjWaT65QQtAuw7MzrIEgPP4UoBR6PCShiMScpf1ltR5N3/PEoQ7Hl3r/ilJcD4O3bl66/+x12cfekrLcQov2FXBez0EvOeYMxUWggamiqnBi57NlIn9h9EvgpIua3qETz6pZKamMOx3XJpX+2j+yIg20n2bq92Tlknzoe/6GHoWtrUaaBDgSJBHKa3XhICJGeHMel0f6h8hWQMBL4KcAJeLh77Wae2VDWcOzRdVsZHPTzz/36km2AaubxFqVUQp5J14ZJjTcbvDvtYidhL4RoJaXAMAxcV8u6Gu1E7uEnOcsymF5d1yjst1tcF+bXS9exTdWft51pKiIBDxu8Bt8ql8qAhe23UJ00QUYIIdrKNBU5hkl2nca7qoasqhg5holpyvfXnpIefpKrtQz+vnpzs+UfllXzy77dqLMMvDEXZRmsMeDyeStYE442nHdIfjZ/H1yKvy4mV8tCiKRkmgZZMSj/17fEtu1Yr8PI9lB40b6EssxdrvDX3pSCgBnF59ag7DrwBImoIHVuIOW+S6WHn+wMxcpQ89vMaqDacQh/f/Fb5zU5/evljcIe4LOKGi5fsIqoX67xhBDJKYhB2ePzG4U9gFtjs+3R+QR150aWUop8q4rgB5OwHhiF+dBBmPcPJ/DONRQYZS3uPZ+MJPCTnavp5fe2eIrfMFCA6TF5cXM5dc1cAc+tDrHFcfZoLXshhOgIhqFwt4RwKqNxy3XUIbKw7PsnlTpHrlmN+d+foOa/QMPuOlqjlryD+cx4co3KTqtLe5DAT3JZMc3VvUuaLR9bkM3yujB+DVGl+KSipsX3m1tdlxQ7yW1/xLAz/3iFEJ3LNA2yTJNcVf9/QdNstldsmgbR7+LvardddGUlllJkGSY5hkmWsWffIV4L8s1KCsxy8swqPJ6d50IZeGpWo9bNiv/ishWYG+cmxfdpa8n4bpKLxRyOzsvitJJ8Xt1c0aisj9/LjX27YaEwTANtQZ7V8i9/vrXne9LvqWAshKqqoPaTT1BKkXX44bg5eYRa2OBCCJFafIaBtzpG1Rsria6pBsDbL5fck/sTDjYNSa01Vm7Lo5lmjgerMkrlq8uJbQlh5vnIOrwn/r3yqd6NZbuVgjyrBnPu0xhf/APqyiC3B9Yh1xPb+zSqYkHyPHWoBa+1+D7G/Bfx9Dgi3l5hSUkCPwWYdTa/7duNK3sV858NZdQ5LmMLsunl9+I1FG9vqeTvqzczJMvPTf27887W+FfJXqUYlRPEqevgtatbkOOE2PL//kDN++/vOPjnP5MzbhxFN0+ixpDQFyLVmaaBp8Jm66Pz2Hnn2ejKKrb+42u6XDUcshu/JhZzCQ4qqB93bmZeXnBkV7Y+Ph/9/WPIsa0hKl9ehn/fQrJO6UdtK5M316zBevWnqO8+2XGwaj3GOzfhWTeLvGP+gDH7X2C2fAGiLT8aBSmyvW7qjEVkOE+dTZ+Y5pZeXbmtX3cOy8vGUoprF65umMX/bW2YcjvGCUW5cd/jrkGl+BK4SI/X0FQ+9+/GYf+96rfeoubVV/DIozdCpDy/VlS9viJ+Djqa6jdXoqJNv4siuOSfvlfc98w+spTIsoqGsN9ZeEEZqspu1SQ6w1CYFSsah/1O1LznsZwa1Gf3Qf8jW3wvd9TF2LHUCHuQwE8pjqOJ1UagJoKrNWfNXc6yusYz+CctWctpXQt4YJ/ejMwN0svv5cSiXN4ZtRdHZQVQduIWv/GGa6h45tlmy8uffBJfqLoTaySE6AimC/aG2mbLIysqwW4alBHXRQ/Ioct1IwmMLMHTIwv/voV0+dkwgiNK8PbNpculQ+ly6VCC+3eFnQI+9MVGPLu4pQngsRTGnKdaPilUAZEqWD8X9jsr7il64LHEcvuk1FLhMqSfggxDsag2TDTOzfiwq/n5glWc1bWAR/fujXY1Xq0xoy5aJ3ilu2gUt6b5SYVOeTnEbGh5FE0IkexaM1GomVPCjkvEC77je+F3NFgGhguVrywjsqwCNCivQdbobhRdsA/b/r0QYho34rRqZF2hUe4ubmsaFngCMPUPcPrD0H04fPkYlH8HOd1h/0vQIy+gKpq16w9MIhL4KSqyiz+ohbVhlOPi+374KymuQT0elMeDbmb/axUIgNV+v5JeEzyhGhTgyPa5QnQa11RYxQFiW0Jxy729c8DT/PC71hCO1X935bkGW//xDW71jsf1dNSl5rP1ONVRco/pTdWUVfiHFGG3olNjOwp36FkY819q/vM9QfTICzG+eBheugz6HApH3Aw53SBUjmv6qdL5pNrGADKkn4JcV7NvVoCW7lad1CWXQJL9Ltr+LHJ+dEqz5XlnnIHt2/MrZsNQ5Ni1hP/1BGvPOZtVJ4+j7NZbCKz/Dt+uruyFEHssbGhyfzQgfqEBuSf3R/t2PfxuWQbhhWWNwn5noXlb8fXJxSzw4emb26rNuRzHxek6HLrEnyugex+CbeXgHPIL9MBj6w+umg6v/hyePh132VRi3UdjJ/D2aFtJDz9FBV3NmV0L+O+m8iZl+ZbJ2SUFCZ2NH08Uk6JrriX8zTyiy5Y1KvPtsw8Fl11GdTuspJUVrWHtxRdhr17dcKz200+pnT6dHg88gDV8tOzjI0QHisVcrCIfhZcOpeqNFcQ21wHg6ZFF7o8GEMk2CbTifTwu1M3b2vJnbQ3R5YphuK4mV5toE0KGbjH8q9xc8s9/FeO9W1GLXgfXAcuHHnYuzuG3UB2r73jkjHsAK7IVtew9MD3ogScQtXKpsYOt/rdIJkqn2mLAu8F1Ndu2tbwQTaLl5dX/2ldWxh/6akks6OXh9Vv51/qthL4fqt4/N8i9g3pRZLu4nbzm9HYttckwFMFoDdEFC6h+5RUwFLlnnIFn0GBqPdl7vDa1x1TYLzzL1r/+NW65WVRErxf+W7+T327Yk59TskrHNkF6titV22RZBn5XYTgalMIxIKw0juO2qk0BwyT00rL6SX5xeLpnUXDOYKre/Y7wwjLQYOb7yDm2N0b/3BYf01MKAkYUn65BxcJoT4CwyiEUs5qcZ30/GXBXW5F7PCbZWV40ioqKuhbP7QhFRdktPqkgPfwUZtVFuaakgEt7FFHruviUwq/BF3WS9l6162pqrCzMkQeSN2I0KIWNQcRxWzfRZxc8oWq2vvhis+XOtm3oinIo2b3AF0LsvljMpQZouP+4m30Q29AEDujaOPAVGEEPGJA/fgBbH52HW7tjNNOpiFDx4lJyTuqLb78iIs2EvtZQ53ipo7D+5nYzWa51K4Le1ORQgVo8BWPtTHThAAqHnk3IzCfkJM8sZAn8FKejDoGo03h4zFA4fouwUkS1JmAosmwXJ4HP4P+Q47g4bf0WaIEC3HC4xXPcSPObEQkhkkcs5hLsk4vVNUhscx3ZB/cgMLQLscoIymugvCb+wQXUzW66o2jN+6vpsl8XOvqv3WNqcmsWYTw9Huz6Xr0CzI//RPCUv0O/cYQcXwfXonUk8NOMaSrKvSaTlq3jk/L62xl5lsnPS4s5pyQfK8nu67e3mNdP1iGHUPW//8UtVx4PVknzexMIIZJLjXYovHhf3Ioo4Xlb2fL4PHDqRwOVxyDnyF7kndSXyre/a/Q6bbu4FRFUbv16+0qp+rVMYu3b8clWVRjPntEQ9jsqoDFev5bAVQcSUj3a9TPbSmbpp5lav8Wpc5c1hD1AZczhj99t5P61W3FbMTM2lUWVReGVV6I8nrjl+ef/mKgvNSfcCJGJXFcTwiW6ppqaz9Y3hD3Uh3rVe6swgh68vXKavlhrsuoqiDz9T2ru+B363TfIiVZjtVPymabC2Ph1/SI9zVCznsAX/+uo00ngpxHTY/LfTeVsa2bo/p/rtxJOoZ2d2kJriOQVUfrkk3j69Gk4rvx+Ci+7jLyLLyMiA1tCpBSfq6j5aE2z5dUfryXrwG6NjimPgelz+O6EE9h2//1Uvvoam267jVWn/gjvuu+w1J7PGTIMA7YubfmcrUsxdHKMrMo3XxqpM+CNLc3vz+wCi2rDjDatpJ3U1x5sbaD7D6bHP59EherQ0ShGTi5Rf5Aand4jHEKkIxXTuHXN74YX2xLCzPVhFvjwDcxBGeDtXcDWRx5oMhnYra1j3RVX0Oull3f7aZ0fchwXXbJPi+e4JfviKi/JsPyZBH4aUSgs1fLmEZmyN00s5hLzZIFnp4V8Ev/3JoRoi11timMpjByTrNFRqv73CDoSJvvoo8gbdwKh2V81WffDqajAXr4MY8jIPer8uK5GlwyFQAGEmq6JgjLQoy4mEmffgERI7/HdDBN0XM7uWtBsuVcpBgVleVkhRGqJmeDrn9dseXBEMdVT32Ld1T+leso71Hz0ERt/exvrb7qJ7rfdhtWtW5PXRL/7rlW76+1Ktc7FveBV8P+gfoaJO+Fx6szmv5M7mwR+GonFXE4qyqO3P/5znzf27Yo/BZeDFEJktrB2yR0/ABVoOiht5nnJPqgLW+/5S5Oy2OYtbL73Xgov/EmTMm+/fu3S+Yk5UBUYQOzKz3BPfxQ95kr0iX/CuXoOtT2PJJwJz+EvXbqUZ555hm+//ZbFixcTjUb54IMPKC0tjXv+66+/zqOPPsrKlSspKCjg1FNP5dprr8XnS47nF1OFP2zz8vAB3LdmMy9sLCPkavoHfNzctxsHZvlR4ebvgwkhRDJyXU2tB4qvHUHdFxsJz98GhiIwspjg8C6s/8XPcWvjb8cbmj2b4l9c3+iYWVCAp/8AIu002mk7UE4eVu+Tyd73DEBTUZF8qyJ2WODPnz+fDz/8kH333ZesrCw+//zzZs997bXXuOmmmzjvvPP41a9+xfLly/nLX/7CunXruPfeezuqimnJdTW+2ig3divimtJiXA0WmqDtEpOwF0KkKMfRVBLDe2BXckeXAIqoCbG6SupmzW7xtXqnxbaMnBxKH3uMkD8H2vn2Zizm7vHy4B2pwwJ//PjxnH766QA8+eSTzQa+4zj8+c9/5uijj+b2228H4KCDDsLj8fCb3/yGiy++mOHDh3dUNdOWjjr4ozsez5OoF0Kkg2jMoWHvvBh4lIFvwAAiixfHf4FpYhUXk3/eefhHjiSw//6E/Dk4GTiXqcPu4RtG69567ty5bNmypeHiYLsf/ehHeDwepkyZ0hHVE0IIkQaigWyKrr662fKc447DKSoheP2NcNjRVHtzMna3zIQ/lrd0af2iBXvt1Xhv4kAgQK9evRrK20KpHbtMJavtuzAlez13h7QpNaRjmyA92yVt2oXRoym88krKHnmk0XP3gZEjKbnlFsjNobMWu0vkz2oXT2UnPvArKioAyMtr+shFXl5eQ7kQQggRV3YOBZdcQv4ZZ1A7/VPc2jqyDj4Ys6QE8vITXbuk0arAnzlzJhdeeGGr3nDGjBkUFhbudkVUM5cmzR1vDa2Tf//oVN3nuiXSptSQjm2C9GxXprfJMBS+WBjTjoDWuJaXiC8Lx9l5bN6AQD7WiadiKUVtzKnv7Hfyv1kif1ZFRdkt9vJbFfj9+/fnzjvvbNUHZmfv3lKF+fn5QH1Pv6Cg8QIFlZWVzT7GJ4QQIv15lIt3y0a2/PGP1H0/+ds/bBglkyYRK+1LVDWOsVim3qBvhVYFfnFxMRMmTOiQCgwcOBCov5ffr1+/huOhUIg1a9Zw1FFHdcjnCiGESG6GofBt3cSqs89GRxvm5hP+5htWX3ABvZ78J97B+xGNynNIrZHwlfZGjBhBcXExr732WqPjb7zxBrZtc/zxxyeoZkIIIRLJFwuz5a67GoV9A9dl0+//gHfjanLsWsw03wm0PXTYpL1QKMS0adMAWPz985Eff/wxhYWFFBYWMmbMmPoKWBb/93//x6RJk/j973/PCSec0LDwzgknnMCIESM6qopCCCGSmGlHqP3ss2bLY5s2gR1j61/+TJeJE6nNLpS9QlrQYYG/bds2Jk6c2OjY7373OwDGjBnD008/3XD89NNPxzAMHnvsMV544QUKCgo499xzue666zqqekIIIVJBnJXrVCBA1xtvxNOrlJqPPsLbswfOhg1k9/ZQ5dmzLW/TmdLJvA7gHnJdzbZtNYmuRosyffZtqpA2pY50bFemtinghNl64y8JffnVjoMeD70euJ+yp56i9tPpjc7POf44im79DTWGv0Pq3BqJnqXf0g6ActNDCCFEUop4ApTcPAlMs+FY7kknUfPJp03CHqD63feoeflFvGaTIoEEvhBCiCTluppo1x70fuZpfPvsA0DeuHFUvvxys68p/9dTeEPJPbKbKAlfaU8IIUT7Mk0DyzLQWhPdaROtVGRj4fYZRLcHH8KoqQLXbXYrXACnogJiNiTPNvRJQwJfCCHShGkaGE4dmxYv5ruvZxPMy2OfsUdj+rOIddpq8u3PcVxqrQDBHIWxdRPK643/qB6ggkGwJNrikX8VIYRIA4ah0KFynvvDr6gtL2s4/sWr/2XMaWcz9LhTiOnUDX2AOtNPdkk3ck89lcoXX4x7Tv6ZZ2L7s0EW3GtC7uELIUQaMJwwr99zR6Ow3+6LV1+gauPaFmdw7wmPx8Tv9+D3Kjw6hEeHsFSsQz6vRvkovPpqfIMGNSnzDxlC/iWXEnE7pp2pTnr4QgiRBuy6GratXd1s+RevvsCxP/s/3Hb82jeVA7EQi6d/wrZ1aykq7UXPQfvwxWsvol2Xw86/BCurEEe3b9+yxpNN94cfwV6ymKpXXgGlyDvjDKwBA6nxZMV9dl9I4AshRMozDEVF2dYWz6nctAHtxMBon699UzlsXvINb/39L2i9Y/zc9HgYd+0NzJv6Ls/e8gvO+f1d+At7/mBnuz2jtabGCmLutz+5w0YCCltD2NES9i2QIX0hhEhxrqvJKezS4jl5XbujzHbs40XrmoQ9gGPbvP3APRxw6hm4ToypT/wDFQu33+fu/FmOSyQGkZjGcZI36D0eE59P4/UaLW5f29Gkhy+EEGnAk5VNUWnvZof1x5x2Dq7ytEsP2OMx+Xbq1CZhv10sEmHrqu8o6TeATcuXop0IWJn3nJxlgddbxdZt71FZMROvtys9epwLdCES8XV6faSHL4QQacA1/Pzol7eSVVDYpOzA088hr1vPdttYRmmXrWtXtXhO5ZaNZOUVAKAzcEMb0wTD+I4vvzqJZcv+wJat77Ju/dN8+dXJbN78L3z+jhn1aIn08IUQIg24rsYM5HPu7+9m88qlfPf1bLLy8hl86BGYvizs9nwkzzAo7t2PZV/MaPaU/K7dWfPtPPK6dsPweDPuKTmvt4Y5cy/HcZouErRq9YMUFR2FYQzq1N39pIcvhBBpwnFcbOWny17DOejcyxh64gS0L7/dF92JRh32HnsUyogfIR5/gKLS3mxZtZIjLrgcPFnt+vmpIBpdSzTa/ETK1WsexeOxO7FGEvhCCJF2HMclEol17LK6niCn/OIWDLPxTjUen5+Tr72Bbz54h1Oun0SXfoOJxVJ7ed+2CEfWt1geCa8D4q8W2FFkSF8IIcRuc7RBl/77cPG9j7Bi1heUr19D1/4D6TVkGFprDj3vUrACxFo5e16p5HyizjAUWuvdrlsw0LfF8qysQWjduRP3JPCFEEK0iaNNMIIMOOQYlFK4rosdc3c+YZfvYSkbbUeo3roFf3Y2vqwcXCuQ0MfsTFPh9dbgOGWEw+vx+7thmEXY0dxWrydgWSUEAn0Jhb6LW96r1+VEo527j68EvhBCiD1i220bso/UVPLR4/ezYvaXDcdyioo5+fqbCRT1pB3X6mk10zTwejcxb/6V1NWtaDgeCPRlv6EPA91adTESjeYwbL9Hmfv1hUQiGxqOK2UyeND/Q+viTh/RUFon4yBK+3BdzbZtyb0vcl5eAIDKylCCa9J+pE2pIR3bBOnZrnRsU8Dr8PZ9f2H1vLlNyiyvj5/8+X4cM7vT6xUM1jB7zgSi0c1NyjyeIvYf9Sp1dTnNvn7nn5VpGvh8VdSFllJZOQuftyuFhYdj20Fsu/03Mioqym5x/wKZtCeEEKLTRWqq44Y9QCwaYd777+Dp5DFo0zSoqZkXN+wBbHsblVVfYVmti07Hcamry8ZQo+hSdCXZ2eOpq8vrkLBvDQl8IYQQnco0DbZ8t7LFc1bPn4trRzqpRvVM06C8/NMWzykv/wTT3L3odF2NbTvEYoldjUACXwghRKfSWuPLanm43hfMQhmdO6lNa43XW9LiOT5vSVI+TdAaEvhCCCE6letqikp7Y/mafyxt5Emnoo3OXX/fth1KSk5u8ZyuXU8nGo11Uo3alwS+EEKITucNZnHCz64n3vZxvfcbQXHfge26pW5ruW4O/fvdELesT59r0Dq/cyvUjuSxPCGEEJ3OsDz0GTaK8++4l5kvP8+mFUsJ5OQyctxp9BoyHBsvJGDoPBLxUVR0Fvn5B7Jq9UOEQisJ+HvTu/fP8Hj6EQ53/i537UUCXwghREKYXh9WbjcOv/gqtGOjlAGeANFOnNxmGArDULiubtjIJhLxYRiD6N/vTuqXv/Vi2z7C4RS9ef89CXwhhBAJo7UmhgXG93HUSWFvmuDz1RAOr6K2dhWBYD8CgV5Eozk4Tn34RyJeYPs8gtQOe5DAF0IIkWEsCwxjNbNnX0LU3tZw3OftyrBh/wR6JnRp344ik/aEEEJkFK+3mjlzf9wo7AEi0U3M/fp8fL6qBNWsY0ngCyGEyBiWZVBe8SmOE3/Zddsup7p67m4vrpMK0q9FQgghRDNMU1FZ8XmL51RUftnhge/1any+ED5frMX179uT3MMXQgiRMbQGn7+0xXP8/p501L5yHo+LZZWxbv2zVFXNxuMpolfppfgDAwiHAh3ymdtJ4AshhMgY0ahDt66ns2rVA82coSjucjx1dW3b8rcllqWJOd8ye86laG03HN+2bSrduk2gd68bCIeD7f6528mQvhBCiIziOLkMHHBr3LLBg/4fsVjHbMvr9dbw7bdXNwr77TZufJlIdHmHDu9LD18IIURGiUa95Oefyuj9D2Ltun8SqvuOYHAgpaUXo3UXotH2377WMBSh8HfEYs0/AbB2zWP07/8XIpGO2T5XAl8IIUTGiUZ9KNWL0p6/BhUF7SMaVR22E55Sikhkyy7qtBWwAQl8IYQQot1oDdGoAfg7/LNc1yUruFeL5+TkDkfrjquL3MMXQgghOpjWYBhF5GQPiVuulElpz4u/vwDpGBL4QgghRCeIRrMYMuRBsrP3aXTcNLPZb+gjOE5Rh36+DOkLIYQQ37MsA8MwcF2XWDtv5OO6mnA4nyH7Po7jbKGmZjFebxeCwb2IRrOw7Y7tg0vgCyGEyHiW5eL11lBe8Rm1tYvICg6ioGAs0Wg2sVj7BbHrakKhIEr1IRDoh9aaurrO2ainwwJ/6dKlPPPMM3z77bcsXryYaDTKBx98QGlp4xWONm/ezLPPPsuMGTNYtWoVsViMvn37csEFFzB+/HgMQ+46CCGE6DiW5eLqRXzx5aW4brjhuGH4GLbfY3g8Q9q99601OE7nbAW8XYel6fz58/nwww/p0qULo0aNava8b7/9ltdee42DDz6Yu+66i7/97W+MGDGCSZMmceedd3ZU9YQQQgigfkGcb765pFHYA7huhG/mXYbHU52gmrWvDuvhjx8/ntNPPx2AJ598ks8/j79ZwahRo3jvvffweHY8dzh27Fjq6up49tlnufbaa8nNze2oagohhMhglmVQVvYxrhuJW+66UbZt+4Dc3LOw7fZfbrczdVgPv7VD8Xl5eY3CfruhQ4fiOA5btrS8UIEQQgjRVqZpUFP7bYvnVNfM77Qd7TpS0k7amzlzJsFgkJ49e7b5PZSCvLyO3X1oT1mWCSR/PXeHtCk1pGObID3bJW3qOEpBdlbLC+JkZw0mEPDi9+96BbxEtkvt4pokKWfEvffee0yZMoVLLrkEv7/jV0ASQgiRmbSGLl2ORan4Ya6URUnJiR22XW5nalUPf+bMmVx44YWtesMZM2ZQWFjY5grNnTuXm266iUMOOYSrrrqqze8D9T/IysrQHr1HR9t+FZjs9dwd0qbUkI5tgvRsl7SpY1lWFkOHPsj8+T9H61jDcaVMhgy5n0gkC9tuXT0T2a6iouwWe/mtCvz+/fu3esZ8dnbbtxX85ptvuPzyy9lnn3148MEHsaykveMghBAiTcRiJl7PKA4c8z6bt7xFbe1CsoJ7U1IyDtvOwbbTI4ta1Yri4mImTJjQoRWZP38+l112GQMGDOCRRx4hEEife1VCCCGSm22b2HY+Bfk/oagQXBfq6lJ7Vv4PJcVly4IFC7j00kvp1asXjz322B6NEgghhBBtleqP3rWkwwI/FAoxbdo0ABYvXgzAxx9/TGFhIYWFhYwZMwaAFStWcMkll6CUYuLEiSxfvrzR+wwcOFAuAIQQQog91GGBv23bNiZOnNjo2O9+9zsAxowZw9NPPw3UT9KrqKgA4IorrmjyPk899RQHHnhgR1VTCCGEyAgdFvilpaUNPfuWTJgwocPnBwghhBCZLimfwxdCCCFE+5LAF0IIITKABL4QQgiRASTwhRBCiAwggS+EEEJkAAl8IYQQIgNI4AshhBAZQAJfCCGEyAAS+EIIIUQGUFprnehKdBStNcneuu17Fyd7PXeHtCk1pGObID3bJW1KHYlsl1KgtlcgXnk6B74QQggh6smQvhBCCJEBJPCFEEKIDCCBL4QQQmQACXwhhBAiA0jgCyGEEBlAAl8IIYTIABL4QgghRAaQwBdCCCEygAS+EEIIkQEk8IUQQogMIIEvhBBCZAAJfCGEECIDSOALIYQQGUACP4lNmjSJwYMHc9VVVyW6Km02ZcoUrr/+eo455hiGDRvG0Ucfzc0338zatWsTXbVWqa2tZfLkyYwdO5Zhw4YxYcIEPvjgg0RXq81mzJjBpEmTOOGEExg+fDiHH34411xzDYsXL0501drVfffdx+DBgxk/fnyiq7LHZs6cyaWXXsro0aMZPnw448aN4/nnn090tdpswYIFXHXVVYwdO5YRI0Ywbtw4HnnkEaLRaKKr1iobN25k8uTJnHfeeYwcOZLBgwczc+bMuOdOnz6ds88+m2HDhnHwwQfz29/+lqqqqk6u8Q4S+Elq+vTpTJkyhezs7ERXZY889thjRCIRrr76ah577DGuvfZa5syZw4QJE1izZk2iq7dL11xzDa+//joTJ07k4YcfZuDAgVxzzTVMmzYt0VVrk//85z+sX7+eiy++mEcffZRJkyaxfv16zjzzTObOnZvo6rWLpUuX8uijj9KlS5dEV2WPvfLKK1xyySX06tWLe+65h4ceeojzzz8f27YTXbU2Wb58Oeeeey7r1q3jV7/6Ff/4xz847rjjuPfee/n1r3+d6Oq1yqpVq3jzzTcJBoMcdNBBzZ43c+ZMrrjiCrp168ZDDz3EzTffzNSpU7niiitwXbcTa7wTLZJOTU2NPuqoo/Tjjz+ujzrqKP3zn/880VVqs61btzY5tnr1aj148GB95513JqBGrffRRx/pQYMG6XfffbfhmOu6+txzz9UnnnhiAmvWdvF+HpWVlXr06NH6mmuuSUCN2pfjOPqss87Sv//97/UFF1ygTz311ERXqc3Wr1+vhw0bph955JFEV6Xd/P3vf9eDBg3Sq1atanT8hhtu0Pvuu6+ORqMJqlnrOY7T8L/fe+89PWjQIP355583Oe+MM87Q48ePb3T+p59+qgcNGqTffPPNTqnrD0kPPwndc8895OXlcdFFFyW6KnusqKioybFevXpRUFDAxo0bE1Cj1nvvvffIycnhmGOOaTimlOL0009nxYoVLFu2LIG1a5t4P4/c3Fz69OmT9D+P1njyySfZuHEjv/jFLxJdlT324osvAvCTn/wkwTVpP5ZlATQZuczJycGyLEzTTES1doth7Do2N23axLx58xg/fnyj8w899FC6du3KlClTOrKKzZLATzKzZ8/m+eef5w9/+ENK/PK3xZIlSygrK2OvvfZKdFVatHTpUgYOHNjkD3zw4MFAfTvSQVlZGUuXLk36n8eurFmzhr///e/89re/TflbYQBffvklAwYM4N133+WEE05gn3324fDDD+cvf/lLytzv/qHx48eTn5/P7bffzpo1a6ipqeH9999vuHXRmjBNBdu/G+L9TQ0aNIilS5d2dpUAsBLyqSKuaDTKrbfeyvnnn8/QoUMTXZ0Osb2N+fn5nHfeeYmuTosqKiro27dvk+N5eXkN5alOa81vfvMbXNflsssuS3R12kxrza9//WvGjh3Lsccem+jqtIvNmzezefNmJk+ezMSJExk4cCCff/45jzzyCBs2bODuu+9OdBV3W48ePXj++ee5+uqrG/2cfvazn3H99dcnrmLtbPt3w/bvip3l5eWxYMGCTq5RPQn8DjJz5kwuvPDCVp07Y8YMCgsLuf/++4lEIkycOLGDa9c2bWnTzhzH4aabbmLhwoU8/PDDTcqTkVKqTWWp4q677uL999/nzjvvZMCAAYmuTpu98MILzJ8/n7feeivRVWk3Wmtqa2u55557OPnkkwE48MADCYfDPPHEE1x33XX06dMnwbXcPevWreNnP/sZxcXFPPDAA+Tk5PDll1/y8MMPo5RKq9CH5r8jEvXdIYHfQfr378+dd97ZqnOzs7NZvnw5jz/+OH/84x+JxWINj264rtvw336/H6/X25HVbtHutmlnrutyyy238N5773Hvvfdy6KGHdkQV21V+fn7cXnxlZSUQ/+o9ldx777088cQT3HrrrUyYMCHR1WmzsrIy/vznP3PllVcSCAQa/nZisRiu61JVVYXP58Pn8yW4prsnPz8fgLFjxzY6fvjhh/PEE0/w7bffplzg33333dTW1vLqq6/i9/uB+osYgAceeIAzzzyT0tLSRFaxXWz/2TX3/ZGo7w4J/A5SXFy8W1+iK1euJBaLccMNNzQp27BhAwcccAC33357QofBd7dN27muy69+9SveeOMN/vznP3P88cd3QO3a38CBA3n33XdxXbfRvcXt9+cGDRqUqKrtsb/97W889NBD3Hjjja0etUlWmzZtorq6mrvvvjvuMPcBBxzAT3/607h/W8ls0KBBLT4qmYr3uxcsWMDAgQMbwn67oUOH4rouK1asSIvA337vfunSpU0u2JYsWcLIkSMTUS0J/GQxatQonnrqqSbHf/nLX9K7d2+uv/76uPeTk932e6uvvfYad955Z8PQZCo47rjjePHFF5k6dWqj+42vvvoq/fr1Y+DAgQmsXdvdf//9PPjgg0ycOJHLL7880dXZY7179477t3PHHXdQV1fH5MmT6dGjRwJqtmeOO+44XnjhBaZNm8app57acHzatGkopdhvv/0SWLu2KSkpYenSpYRCIQKBQMPxOXPmANC1a9dEVa1ddevWjaFDh/L6669z0UUXNVyczZgxg02bNiWs0yOBnyQKCwsbhrZ25vP5KCgoiFuWCiZPnsxLL73E2WefTd++fRv1WLKzs5M6NI844ggOPPBAbr31VioqKigtLeXVV19l1qxZPPjgg4muXps88cQT3HfffRx11FEccsghjX4eXq+XfffdN3GVa6OsrKy4fx+5ubkAKfu3c/jhh3P44Yfz+9//nvLycvbaay8+//xznnrqKc4991x69uyZ6CrutgsvvJCrr76ayy67jIsuuoicnBxmzpzJ448/ziGHHNLwBEyye+eddwCYN28eUP9ERXl5OYFAgCOOOAKAG264gcsuu4xf/vKXnHPOOWzatIm//OUvDB8+nBNPPDEh9VZaa52QTxatcvTRR7P33nunbMAcffTRrFu3Lm7ZmDFjePrppzu5RrunpqaGe+65hylTplBVVcXAgQObzDBOJT/5yU/44osv4pb17NmTqVOndnKNOs5PfvITqqqqeO211xJdlTarq6vjvvvu44033qC8vJzu3btz1llncfnll6fkkD7AZ599xiOPPMKSJUuoq6ujZ8+ejBs3jksuuYRgMJjo6rVKcxcmP/wb+vjjj7nvvvtYtGgRWVlZHHvssdx4440Ju4cvgS+EEEJkgNS8RBRCCCHEbpHAF0IIITKABL4QQgiRASTwhRBCiAwggS+EEEJkAAl8IYQQIgNI4AshhBAZQAJfCCGEyAD/H6t+W6FAhdNxAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "many_clusters = KMeans(20).fit_predict(data)\n",
+ "print(many_clusters)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=many_clusters, palette=\"tab10\")\n",
+ "plt.legend(\"\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "15330967",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Compare Silhouette scores"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "8b41194d",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Silhouette true labels: 0.8474469113729575\n",
+ "Silhouette random clusters: -0.04685894742512662\n",
+ "Silhouette two clusters: 0.5806310922637636\n",
+ "Silhouette many clusters: 0.44519330790414796\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(\"Silhouette true labels: \", silhouette_score(data, labels))\n",
+ "print(\"Silhouette random clusters: \", silhouette_score(data, random_clusters))\n",
+ "print(\"Silhouette two clusters: \", silhouette_score(data, twogroups_clusters))\n",
+ "print(\"Silhouette many clusters: \", silhouette_score(data, many_clusters))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a97921ee",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### External metrics\n",
+ "\n",
+ "- Purity\n",
+ "- Clustering accuracy\n",
+ "- Folkes-Mallows index\n",
+ "- Normalized Mutual Information"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "21c511f8",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Example external metric\n",
+ "\n",
+ "$\\to$ Need for specific clustering metrics when ground truth is known\n",
+ "\n",
+ "#### Example: Purity\n",
+ "Let's call $\\mathcal{C}$ the clusters found, and $\\mathcal{D}$ the ground truth classes:\n",
+ "\n",
+ "$$purity = \\frac{1}{N} \\sum_{k \\in \\mathcal{C}} \\max_{d \\in D} |k \\cap d|$$\n",
+ "\n",
+ "_Issue: more clusters $\\to$ Decreasing purity_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "222307f8",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Choosing a clustering algorithm\n",
+ "\n",
+ "#### Different families of clustering algorithms\n",
+ "\n",
+ "- Partitioning-based\n",
+ "- Connectivity-based\n",
+ "- Density-based"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "64f4880a",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Partitioning-based\n",
+ "\n",
+ "#### Pros\n",
+ "- Can conduct inference on new data points\n",
+ "- Usually fast\n",
+ "\n",
+ "#### Cons\n",
+ "- Number of clusters required\n",
+ "- No outlier detection\n",
+ "- Need access to point values\n",
+ "\n",
+ "__Example:__ K-means"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "41392ab9",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[2.184988 6.51544932] 0\n",
+ "[ 6.12525812 -4.12924726] 0\n"
+ ]
+ }
+ ],
+ "source": [
+ "clustering_algo = KMeans(3) # Number of clusters required\n",
+ "clusters = clustering_algo.fit_predict(data)\n",
+ "\n",
+ "new_x = np.random.uniform(-10, 10, (2, 2)) # Can conduct inference on new points\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.scatter(new_x[:, 0], new_x[:, 1], marker=\"X\", c=\"r\")\n",
+ "plt.show() # No outlier detection\n",
+ "\n",
+ "print(new_x[0, :], clustering_algo.predict(new_x)[0])\n",
+ "print(new_x[1, :], clustering_algo.predict(new_x)[1])\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d7ceaa6b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Connectivity-based\n",
+ "\n",
+ "#### Pros\n",
+ "- Does not need access to data points values (only distances)\n",
+ "- Can handle non linearly separated clusters\n",
+ "\n",
+ "#### Cons\n",
+ "- Number of clusters required\n",
+ "- No outlier detection\n",
+ "- Usually slow\n",
+ "- Cannot conduct inference\n",
+ "\n",
+ "__Example:__ Hierarchical clustering"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "662b7e06",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "data, labels = make_moons(n_samples=500, noise=0.05)\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "161afdfd",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "clusters_partitioning = KMeans(2).fit_predict(data)\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters_partitioning, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "ea478879",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import AgglomerativeClustering\n",
+ "\n",
+ "clusters_connectivity = AgglomerativeClustering(2, linkage=\"single\").fit_predict(data)\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters_connectivity, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a70c1f25",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Density-based\n",
+ "\n",
+ "#### Pros\n",
+ "- Does not need access to data points values\n",
+ "- Can handle non linearly separable clusters\n",
+ "- Does not need number of clusters\n",
+ "- Can handle outliers\n",
+ "\n",
+ "#### Cons\n",
+ "- Usually slow\n",
+ "- Cannot be used for inference\n",
+ "\n",
+ "__Example:__ DBSCAN"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "id": "5259f58c",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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UEUm88OMun+uv7B+HTZaOGg0UCARnJ67EsbgjeqOWbEWi+YPAQMIT0QtX4tjTel4//7wAgO3btwGwYcM6qqoqsVptDB8+sk0+U4gAwVmHx6Nz7YB41udU8vPOkibr+iUE8ch53TBcJ95sSSAQdHBkhapLZvr0CZAMHU9EL6oumXnaywP//Ocnm/z8zjtvAhAdHcNnn33TJp8pRIDgrETxaPzr8p6U1Ln5akMBbl3nkj4xJIf5EWxVqRIiQCDo1Bj2cCqv/hZzziIsmXOQG8rQbWE4u13ljQCcAX+ApUvbvlfAkQgRIDhrUTWdWJvKQ+ekAODxaAQIoyCBQHAQWcGVPP6s9wJoDfFEFDRDUWXqNW87QpsioXfgTHrDMHC5Wm+RLBAIBJ0VIQIETXApCnPW5fPF+nw0w+DCntFMHpqInwTaWdpASFEknIaEUzfw6AZWVcauSGii14BAIDjLESJA0EhxnYtJry+jqNrZuOyNJVl8vDqHz+8ZQagqoevGGTzDU4+kSBQ2aPzhyy1syK0EINzfzEPnduX8jEgUTQgBgUBw9iKKpQWA10DnpQW7mgiAg1Q3eHjqq624JekMnFnbIUlQo8Gk15c3CgCA0loXT329lS837UcWfgICgeAsRjzhBADUujS+3lDQ4vrlWWU4z7IogKHIvLZ4Dw0thP2nLdxFw9k5AyIQdDhkWcYwRGTuSAxDO6k2xEIECACv1a7rKHP+bu3sEgEODRZsL25xfZ1Lo7wV+2GBQHD6MJlMeDxu6uqqz/SptBvq6qrxeNyYTKYTPobICRAAYJIl0iL82FNS53N9qJ8Zq+o10jAUGecBPaAAFgy0DigQJECRW5/iONp6gUBwevDzC8LtdlNTU0FDQy2SdPrr+E+WgwN2/RREGA1Dw+NxY7HY8fMLOvFzOvlTEZwNhNpN/O6CjBbX3z82DX9Vol6SeXbBbs79zxJGPbeI+2dtYE+VE13peF8lmwKX941tcX2I3USw8BUQCNoFkiQRHByOv38QinLiI98ziaoqqOqpES+KYsLfP4jg4HCkk8jXEk84AQCGAYOTQ/jrpT14dt7OxnlysyJz1zmpXNwrmhqPwZWvLqOsztW437qcSq59cwWv3zSAwXGBaB3IU0D36NwyPIkv1uc3uaaD/PXSnljlU6PaBQLBySNJEv7+wWf6NE6YoCAbAFVVDWf4TA4hRICgEX+zwiXdIzmveyT5lQ40XSchxI5F8ob9X1+61+fL0jDgT19t5ct7h9Ny7772iZ9kMOfeEfx34S6+2ViAWzPoGRvIkxdm0C3M3qGNkgQCgeBoCBEgaIKh6ViAtEDv69w4MAxukGW+2thy9UBJjZMap0aY2rHm0DXNwE8y+P2Erjx6XlcMwyt4rGexOZIvJFWmQQeXR8esylglkHQdo+OleggEguNAiACBT3w9/I9WHaDpBt50u46FYQAer/g5SGcpRJIkcCsKb/yyl09W59Lg1jApEpf2ieXx87th0fUTMohSFBmX4a06sSoyuqez/EYFgo6FEAGCY8Isw7j0CL7ZtN/nen+LSrBNhU40ej4bcMsyj3++iV93lx1aphnMWZ/PloIq3rtlMKbjlEQeRWFdQRXvLttHZb2bYSmh3Dw8mUBVwhDfD4GgXSFEgOCYkDWdh8Z35YdtRTh9zJM/NL4LVgnEI77jIElQWuduIgAOJ7Oolp1FNfSN8j/mqRGPovD7L7ewKLOkcdmOwho+WpXLjNsG0yXEJoSAQNCO6Hh1XYIzgmFAsCrxyV3D6B4T0Lg81M/M3y7twWW9YkQSXQdDVRV+3F7U6jZz1ucjK8c2xaOqMmtyKpoIgIO4NJ0HPl6PQ+QYCATtChEJEBw7ukGiv5m3Jw/Eoel4dAO7ScEugybmfDskRzNDko+j/tihwzu/7mtxfWmti5JaFwl+qkg4FAjaCSISIDguNE3HpOsESBCiSFh0vUN5AwgO4fFonN8jqtVtrhuUcMz3VzMMyuubl5AeTkW966SMTQQCwalFiACBoAMiSd6yPqck4ZYlTKbjdyEzDAi2qlzcO8bn+kFJISSH2Y+5OsAsSwxICG51m6TQYz+eQCBoe8R0gEDQ0VBkqjw6by7azfKscgKsKpOHJjK2WwSmFpLuZFnCJUk4NAOXR8fPrGCTJVSPxp8vyqB3XCDTl+6ltNZFoFXlpqGJ3DwsCZOmcayvbFnXuWdMGl9tLMDXe350lzDsJllUkAgE7QjJMDrX7JyuG5SV1R7z9u3R5rEtaO06ZVlCUb1BI13TO2SzoIN09PupKDK7KhqY/M6qZr4NI9PC+M+1fRvn282Gge7RkBWZMpfGE59vZn1uJQB2s8LUEcncPDQRxaOhmBTqNQPNMFAkCZssnVBtv6FIbNxfy6OfbqTG6WlcPjw1lP9c0xezpp2yfICOfi+Plc5wnZ3hGuHMXGdYmD9yK7k/IhIgaBFJApcsk1Vaz+y1eeiGwVX940iP8sesG3Qy/dguaDDg4U82NhMA49IjuWdMKv+cu51FO0tQFYnL+8Zy+6gUVEni6teXU+049FKud2m8umgPFXUufjMuDdzaIbMkwzjhfgmSZtA/JoB5D49iX1k9lfVuukb5E2BWvFEF8ZURCNoVQgQIWsStKNz30To25FY1Lvtm034yogN455ZBp3RUJzg2qhweCqsdTZalRfhzy4gkbn5nVRMPh/eWZ/P1pv18cPuQFu/TJ2tyuWdMGvZTeI6GpmMGMkJtEGrz5gBo+jFPKwgEgtOHSAwU+ERWZd5Ztq+JADjIjsIaXvppF0YHbB/c0Tg8kV6SoPawEPtBbh2ZzPPzd/o0cSqvc/HmkiyuGhjv8/i6AZlFNa2GC08UXTdEEqBA0M4RT3GBTxp0+HhVbovrv9pQgEPkd7UZuiLTIMvsqnRS4tIx2c1gMREZaOXI93VKuB9bC6pbPNZ3mwsZ2y2ixfUWVTwGBILOivjrF/jEoxs+R50HcXp0XMIf4KRQFBlN9pb5ociN9fOaqvD8T7u5+vXllNe7Kal18uKCXby6aA/1Lg+X9o1tchztKKNtl6a3aApkUWVSI/yaj9gVGYcss9+hUe4xcMkyioj8CARnHSInQOATVZYI9TNTXufb/MXPrGBWZU44g6yT41EUNhZW8+YveympcdIjJpB7x6YR4W/mPz9k8sO2Qt6aMoi/frOV7ftrGvf7aFUOH985DE03mLt5P4bhFWRH3itJgj5xQYTYzfhZVAqrHL5Og99PzGjSPRG8IuTNpXv5YEUOrgPlfHHBNv59TR+6hNhEiZ9AcBYhSgSPQmctXVFVmQ/XF/DvHzJ9bn/H6BTuHZHU4foFnIn7qaoydTo0uHVkGawmhefm7eSrjQVNtpMk+M81fVmcWUJcsI09JbXM3+r19g/3N3Nl/3hig61UN7gZnhaGWZXJLa+nW2QAK/eW89TXWwG4pE8MU4YnsSGnkuIaJ4OTQ+geE8h3mwp4dVEWNU4PPWMDufucVAYlh2ByHyoFNBSZV5fu471l+5pfhyzx3UOjCFWldpEQ6uteqiaZOg0ONrW2y1KHt7TuDM+gznCN0AlLBAsLC5k+fTpbt25lx44d1NfXM2PGDIYOHXpM++fk5PDMM8+wcuVKdF1n0KBBPPHEE3Tp0qUtT1sAeDw6V/ePY2tBNd9vKWyybnTXcG4fkSx6xB8DmiKzLLuSp7/bQWG1g9ggK09d2qOZAACvg9/v52xmxm1D0A14ffEeAO4bm8ag5FBmrcph4Y4iYoJspEX6kxRq5+9zt/PFvcM5PyMCpyeDfWX19IkPZvL0lY1lhG8v3UuYn5k3pgzkjYRgPDrsK6vj1UV7GN01nHsOiDlJAgfw4crsJuflZ1awmBQq611M+3k3f74gHakdRgM0VeG7rUW8tjiLwmoHQTYTNw9P4sbBCaI8USBogTYVAdnZ2cydO5cePXowbNgwFi5ceMz7lpWVceONNxIWFsazzz6Loii89tprTJ48mS+//JLo6Og2PHMBgOLReGpiBg+d24Uftxej6wbndY8kzG5CFQLgqKiqVwA8PGtD47Lze0bzxfr8FvdxenQyi2rJiAlAN+DGIYkEWFVue2914zZ7SupYuruUKcOSuHNUChigaDpX9Y6m0m0w4cXFzRz7yupc3PvBOp6e1Js73l/TuDyvooFbhiVhAdyyTH6lo1E8DE8L4/ZRKRiGtyohNtjKhpxK3DqYAUWR0JDRDAOLLOE5g98JjyLz0k+7+GRNXuOyqgY30xbuZtmeUqZd169FN0WBoDPTpiJg8ODBLF++HIAFCxYclwh4++23qa6u5vPPPycqytvkpF+/fowfP57XXnuNv/3tb21yzoKmqLpOhFnm5oFxgLfpjOgHf3RUVabOgKe/29Fkud2sUFnvbnXfaocbq0nBpEhc3j+WG95c0WybnrGB9EsMpmdMIFUOD34WFZui8PGyLJ+WvQAltU5qnR6uHRSPphvsK6tnbXYFumEgyxINhxkQXdEvjnMzInjis02UHcg1kCS4oGc0l/aNxaPD1uI63l+eTZ3Lw7huEVzSJwa75HWVPN3UufUmAuBw1mZXsqe0nh5hNlGyKBAcQZuKAFk+8WziBQsWMGLEiEYBABASEsK4ceP48ccfhQg4jRgGuN1i5H8sSJKES5ZZkV1BVJC1ibGPJEFueR19E4JZube8xWMMSQll6a5ipo5IZs2+isaXut2s0CMmkIHJIQxNCeXv325nb2kd4M3yf+Havmzf33KpIEBxtYPuMYFsyK1kQvconrwwA7MqY1ZltmeVY1Jk0iL8uHZwPFPeXtWk8sAwYN6WQkyyxOiu4fzu882N61btLee1xXv45O5hRNvNoOt4fOSLHJyzlyTAALtMs+1kWUJVFcDA5Tr6985kUli4cX+r28xancvfL84AXXyPBYLDaZfVAQ6Hg5ycHC688MJm69LT0/n2228pKysjLCzsDJydQOBFkkBWFXRAVWQ0j45sUnjlh0x+3F7Ei9f2AyDIZuKuA0l4FXUuukUFMHN5Ng0+hFWPmEAcbo2RXSIItJr4eFUOFlXmtxek0z0mkFV7y/GzKFhVhRuHJvLvAyZBgVYTaRH+xAfbgbIWzznIZub1xXvYW1rHVxTgb1H5+M6hmAIsfLAiB4Bnr+7De7/ua7H08NvN+5k8PAlZoknUodrh4YGPNvDHi7vjcHkYmhKKrBtIhoHHo+FRFL7ZUsjbS/dRWO2ga6Q/D53bhQHxwSiahixLOCWJPaX1LM4sITLAwriMCAJUBeUoVSjuo0QfPLpwLBQIfNEuRUBVVRWGYRAUFNRsXXBwMACVlZUnJAIk6VCG5rHgHZEc3z4dkc5yncgS5XUuGpAwqTL+ZgX7CbThrXFp7K9yMGNRFsU1TvolBHNuRiTV9S6uH5zAhB5RhPqZGJAYwhMXpvO/n3fz/PydAIzqEs7rUwbwu882UVTtbDzmgMRgnpzYnQc+Wsf4jEjO7xnNqK7hDEoO5bO1ufxj7vYm53Bhr2heubE/93ywjv9c25c/fLGZ35zXjU/W+DZ58reoxAZbG6MH4J3rn/ruar66fyTFNQ72lNRR5/CwLruixWs3DCischBoMzWb2sgqrSUmyEpZrYsXFuyirM7FkORQLugZxfKsMtZmVyLLXm+DHYU13PfReu4fl8Zdo1KocnjYVlCN1aQwLiOS/MoGciscBFhU0iLs+JubPq4OfmftdjNjMyJ5voVKFvBObwT6mTtkcmBn+NvsDNcIZ+Y6paOYgbZLEXAQ6WhnLxAcB9VOD5+uyeONJVlUNbiRJZjQPYo/XdKDKH9zk211w6Da6UFCIsja9M+kxqnx6uLdvL10X+OyRTtLeHNJFu9MHczCHcWc0y2Ct5Zk8dzVvXns041szDtkv7x0dyk1Djd/v7wXkQEWdpfUERNkZXdxLQ98tI5BSSHcOjIFm1lGQuLDldmNpYKHM29LISlhftw3No0t+VWsy6lkRVYZj5zXlRcX7GqyrUWV+c+1fXlt0Z5mxymrc5FdXs/w1DD2lNSRVVpHoM1EQQveAuAVFE63jkWVuaxvLBf1jkE54C0xf0shL/20q/Fzh6eGkVlUy7aCagKsKo+fn45FVXjqqy0EWFXO6xHFxvwqVFmma2QAs1bn8O6v+/AcCDPEh9j4340DyIjyp6UnQlSAhVFdwlm6u7TZuuQwO/0TgzukABAI2pp2KQKCgoKQJInKyspm6w4uOxgROF4M4/hqNEX96tmBJstMW5zFh6tyGpfpBszfVsSGvEpm3z0cVQKbBHUGfL4un+82F6LIElcNiOOiXtFYDoSk91Q5mwgAgLHpEdw5OpW9pXXYzApldS5uHpFMg0trIgAOsjGvirtmruWvl3bn0t4xZJbUYTPJzLprGN9v2c/S3SWE+lmIDrTyUSv2zR+vzuGD24fy2882AvDqoj3cfU4qH94xlHlbCimucdAtKoDL+8Xxwo87WbbH91TBvtI6bh2ZzAcrc5i3pZAr+sXxzLwdPreN8Leg6QYmVeK1mwbx/ZZCHvhoHVaTwvNX92kUAAAvXd+PL9bl85dth0TMrNW5dIvy5383DiDIppJb0cD0X/ayLqeCQJuJK/rF8cEdQ3l41nqKqp3kVTQw5e2VzH1oNFbt0BTK4d9ZSYLnJ/Xm1cV7+HRNHk6P1yVxQvco/nRxd0wejaqqlh0w2zNn+98mdI5rhDPnE9DaeLpdigCr1UpCQgKZmc3De5mZmYSGhop8AMFx4TQMPlqd43NdUbWTLzcUUNvg5rohiVzzxvIm7nvb5lbz3rJ9fHzHUCwyvPlLVpP9L+odzcReMdw5Yw31hyWyxQRZeXPKILpF+ZNZ5Nug6odtxVzUPYpuwVaSQu1c/9ZKesQGMjg5hN98soEZtw2hqqHlaoKD4fjDP/eNJVnMWJ7NuRmRhPtb2JhbSffoQFbvbTnEnxrhR6BJ4T/X9OHJOZu5d2wafeKD2HSEgFFlieeu6cPri/bwj8t78e/5O1mfWwnApIHxfL7uUPnjiLQwskrq+GFb8yhGZlEtb/2SxZ3npHL7YSWLJTVO3voli4U7ivnPNf2Y8s5KDMObb/DjtiKu7BnpM+HQMED1aDw8JpW7RqfiOBClsMog61qLFRMCQWen3ZqBn3feeSxbtoySkpLGZZWVlfz8889MmDDhDJ6ZoKOhKBKb8qpaDQcv2lnMqG7hPPX1Fp9WyXkVDfxv0R48Buw/LExuVmRuGZHMo59uaPIiBu92d81cw+Pnp7f4uf4WFVmSQJaYsTybnPJ6bhySyEs/HhpNt9bgx6LKeDSdISmhTZY3uDXmbt7PhytzWLq7lPToAMrqnD6PERlgITrIhlM3GJYSysLHxtDg1Hh2Uh/+cUVPesQEEh9i47K+scy8fSg1DW4u7RuLIkuNAgAgzN9CQeWhEc7VA+P5aKVv4QWwYHtRiyV7e0pqWZdTwYi0Q2J/6e5Sjpbbb3h0rLpOsAI2Q0fSdDENIBC0QpuLgHnz5jFv3jzWr18PwOrVq5k3bx6LFy9u3GbKlCmkpzd9UN5+++0EBARw1113sWDBAhYtWsTdd9+Nqqrcc889bX3agjOAJEnoiky9JFHuMXDIMpyiDndHa5UrSRIRAdYWw+UAX6zPR5ZluscENi47t3skP2wtajTYOZL9VQ4cbo2YIKvP9VOHJyPpOg06zFqTi9Uk4/To1Bxo3vTDtiIu6RPT4jld2jeWbzYVcNPQpBbFwhX94sirrOcPF3Vv1oEwxG7ixev6IWNw/8frGfncIq5/cyVJ4Xbe+iWLn3eUMGlgHPeNTSPEz8zdM9fw0KwNyJI3D6LJtVY2kBLh1/hzuL+F/MqWw576gb4HLfHtpgLO635YibDd5BVMAoHglNHm0wEPP/xwk5+nTZsGQFxcXKvmQeHh4Xz44Yc8++yz/O53v8MwDAYOHMgHH3xAbGxsi/sJOiayLFGPxJ+/2srizBIMA0yKxBX94nj0vK6t2r4qqoxTN1AlGZNsUK+BUzdwazp2k4Jdgt5xQc1K2g5n0oA4nJ7WR41Oj45b07h9ZDKfr8vDMCAhxH7U2vzcigbigm1NIggA47tHkhJmR9c0JEWi1uHBpMjoh53EnHV5vDt1MJvzq5pNKaRHBXDv2DT2ldSxt6SW1ycP5K/fbCW7rB448PvrH8ekAfFsyatid0ktH981jOV7yiitcZIRE0hSmJ1PVudwTrcI/nBxdx76eD35lQ1kldSxYHsR1Q0eftpR3OyaVu2tQD2iqGLupv28NnkgX6zPxzCgtNZJXLCtRSEgS2BqpTNhg1vDfNj6KcOOrVeFLEvIsoxhGGjC2EogaJU2FwE7d+486jYzZ870uTw5OZnXXnvtVJ+SoB3ikGRueGsFeRWHXhhuzWD22jyyy+p46dq+zWxfJcXbmGf2qlyWZ5UTYjdxy/Bk6lweHp61AadHJ8Ru4smJ6QxNCefm4ck+G+MkhdnplxBMvUsj2N687O0gyWF2ZCTCrCovXNOX332+icoGF1GBR/bha77fU5f04Nl5O9hRWENkoIU7R6UyIjUU5YDVrmzAoKQQVuwtJ8CqYjXJONw69S6NBz9ez7+u6k2d08O3m7ymOOd1jyLUz8z1b66gpMYb5u8ZG8jL1/fHz6LgcOv4W1Rmrsjm5rdX8b+b+rNkdwk3vrWSIcmhBNpU1qzIpqjawf9uGsAf5mwmOsjKLcOTeW7+TgqqHKSG+7PhsHD/4azeV85zV/fhs7WHcgBqnB5+3F7EXy7tyd+/3cZna/O4cWhiY2nkkUzoEcXSXSU+1wEMTw1nU743J+H6wQlE+ZtbdatUFJkGvKJr+/5q+sQHkRBqxwK4WmmLLRB0ZtptToCg86CqMmtzKpoIgMNZta+Csjp3kwxXWZHJrnZywX+X8MrPe1ibXcGC7cVMeWcVX6zP5+mregNQUe+mtNbNH77YTPeYQP54cXdiD4TmLarMpAFxvHx9fzKLaiipcXLzsKQWz/PRCd2wyxISkBETwKy7htEnLojrBye2uI/VJNM3Pog4u8p/JvXmq/uG8/bkgYxLDWkUAABmDH57gXdK7Mv1Bdw2MqVxXXGNkzveX0NeRQNjukUQE2Tl7aVZ3DljTaMAANhaUM3e0lqSQmx0i/DDIsPW/Cpcms7Dszbwh4nd+e/1/Qi0qdQ5NS7qHcPrUwby9Hc72FdWz4qscgYkhQAwe00uU1r5XSSF2Qmxm+kb39TL4/1l+9iSX8Xn945gQo8oRqaFcVHv5n0+ukX585vzulHt8P1ytppkrhucQGFVAy9e25d7x6ZhacXuR1FkKjw61721ktlr8+gRG8T8bcU89fU23lmZS50kYbQSdRAIOivir0JwxtElqXGE2xKLd5U0Gm0AOAy458N1ONzNR4bztxbh0Q26RPoD0Dc+mGV7ynji800s3lnMv67qzRf3jeCD24diMyncNH0FCaF2thVUc3m/OG4flYJy2OS5RZV54sJ0hiSGoGkaFS6Ny175lWvfWI7LoxHub+bh8V2bnYcqS7x200AshoGuGyiajkU3MPmw1NV1g/gAC6/e2J8fthUSH2LjtxekE+Z3yL9gS34VqeF+zFie7bPawKzI9IgJot7lPbZJ13nx2r5cNzgBsyKj6QaBVhP3j+3C7aNTyCqt5fo3V7A5/1AFgCpL2EwKu4prqXV6uHN0arPP6RLpfYE/9ukGXrlxANcPTsB2wHDJ36LiZ1GpbnCzcEcxEYEWHp3Qja8fGMntI1O4cWgC027oz6MT0rn9/dWM7hrO5KGJTfIZ0iL8eW/qEEprHAxICmXawt1Mem0Z9UbL+QANwC3vrmZwciiDkkO54a0VvLkki3lbCvnvT7sY/8IS1hdUYxwlN0Qg6GxIhtG5cmd13aCszHe5li9E/Wrbo5gUnvpuR6tC4E8XZXB1nxjcbs3rwV/n4crXlrW4/ZCUUEZ1CeeFHzOZcdsQbn5nFRN7RTN1RDJLd5eSXVZPfIiNMekRzFqVy13npOJvVrBKBgYSTgMyi2tRZYm0CD8sAJqOocj8fd5O1mRX8MHtQ1meVcZna3K5ckA8GdEBfLY2j4KqBvrEBXHtoAT8FQmOY15aVmUadCitc2FVFfwsKk6PhipLWGQJSZb4v7nb+e6I9s4Af7q4O9v3V/Ob87oR5W9uvJeyWaHWY/D64j18sT4fp0dncHIod52Tys87ivnwQAa/RZWZfc9wGtwav5m1gcJqB98/NJrKBje/7i6l3qUxPDWMlAg/zIqEZIBdlSht0Nhf3YCEhEc3+GZjAfO2FPLXy3qyMbeC+8elYdF0rFYTW4vrePyzjeSWe8/NpEhcPziRib2j8WgGYf5m9pXWMW3hbnYU1jS5vnenDqJPhF9jRcHB72xNjYPdVU5unL6Sj+8cxg1vrfBpeazKEgsfG4PtKBbE7Y3O8AzqDNcIZ84noLXE6HbpEyDoXBiazo2DE1oVAeMyoqjXDKyKN+GrrNZ3udtBSmucBNpMgLf2fPKwRAYnhzL57ZVNMvnfWJLFM1f1JtimYpckNE1H03SsQL9Ib6b74V3xXIa3VO2Tu4bz0Kz1bC3wJgVuyKsiyGbi0j4x/OniHkQFmNEa3NBC1UBL6B4dCxBnU5EkMHQNqwxggG6gKgpThicxqmsEs9fkUlLrpFtUAJOHJbEyq4zP1+UzKCmUqwccSp5t0Ayufm05JYf9zlbtLWf1vnL+fU1fskrqWJ5VxmX9YvlsbR5Ld5Xy7KQ+fLQqh0U7S3hxQSYDEkOwqDJzN+3n+av7NHbk01wQbpUxq378uK2I3SW1JIfZee+2wXyxLp8bhiRi9Z46Hs3gw5U5jQIAvHkfM1dkM3NFNgCThyVRVO1oJgAAtuRX0z86AP2IJkCyLLF9fzXDU8P4ZVdJiz0PPLrBj9uKmNQ7WjTEEggOIESA4Iyj6wbJYXaGp4Wx3EeJ3nWD4pm/tZDvtxTy0Pgu9I4OIDHM3uoxM2ICyCnzeuR/uCKbZ6/pw8X/XdqslE/TDZ6cs5nvHxrN9DU5DE0JIyM6EJMMsmGgHPlCMeC6wQkszixuFAAHqWpw88HKHJbtKeOtmwcRrEgn1brWV4xOM2D60r0UVDZwed84Am0mcsvreeLzTY35AeX1TjhgsCurMu8s3ddEABx+/Ofm7eBvl/XCrMpc2ieWO2eswenRyS6v4/ZRKUyevhKnR2d5lve+DEwKJi3c3kQYaW4df0Xm8r4xFFY7yC6rp7bBzQPj0rBxSERJQESAudl5HE6QzcTeUt+RuoRQ362ADVmif2IwkiSxfX9zd8bD2V1SiyxLmEyKtzzBAM2jiRbDgk6LEAGCdoFZ13nh6j58tbGAtw+8tJLC7Nw8PIlgu5nffbYJTTe4c8Za7h2TxpShCQxMCmGtj0Y3kgTXD07koVlebwpJlli+pwxXC2F5TTf4ckM+u4vreHvpPqICLbx8fX++2VjA3eekYpcOtFOWJBwenYFJISiyxBtTBvLG4j2sy6lscrys0jpqHG7CgyzH1Ar3eFAwOKdLOH/5Zhvb93ttfaMDrVzYMxo/i8Lu4lqGJIdxcJavQYcvNxS0eLyiaicJoTbGpkdwzwdrG+v2v95QQNfz/QnzM1NQ5SDIZuKW4UncMDjBW655xHEMzWvME+9nIjEgBE3T0TWdw3/jbreHawcmNLNcPpxzuobz1pKsZsstqsygpFAMQ8dsUcGAWpdGTkUDby/NYn+lg56xgUweloxbM5o4Fx7OiLQwajSDlVnlzN9WiNWkcOOQRBJDbKgeER0QdD6ECBC0Cw7avl7bN5ZL+8Tg0g3WZlcwa1Uua4540b+2eA/XD0rgv9f1454P17Il/9CI3GqS+b/Le/HT9iIq6930igvkH5f3ZFYLnfUOUlDVQHq0Pznl9eSW1/P7OZt54Nwu3DB9JZ/dPQxNh0dnb2Tl3vLGfSIDLPzzyt58tDKHn3c2raVvcGtHb991Ang8OuO7R/GfBZk0uDT+emlPwvwtfLUhnz0lbvonhhAVaEU7LIzgOkptfVmti//7dluTyIOmQ3KIjU/vGoZueAfNdtk7am5tzKxpBprm+2VqGBBkVrhrdApv/rK32frfnNeVGqenmVhTZYnXJw9ElWFHSQNz1udz3aAEft5ZzGuLDwmGNdkVfLAyh2cn9abW6WnWdCkx1EavuGCueX15k+ZIX20oYFx6BE9f2RvF3bRaQZIkdNmbI+LRDEyKhJ8CHh8JqQJBR0SIAEG7QVVl6nQDRZF4ZcGuFkdzAD9sL+TavjG8edMAyuvdbM6vItTPTM/YQCwyjEgN5Y5RKSiAnyrT4zCXv8ORJLh1RDLXDEpgc14V8SPtpEcH8MuuUkLtZirqXJTWufnTF5vZcISPfnGNkwc+WscHdwzl192ljS8vVZaICrTiaaN5ZzsGn9w5jD2ldczfUsg3h+VSLNtTxru/7mXWXcOIs6uYgXO6hfPd5uaJhAB+ZsWbe3DEm/3SvjFYAOVgEp1xXPmNLaLoOrcNT2JseiSvLtpNXkUDyWF+3DA0kd3FtazLrmDm7UNYtqcMf4tKhL+FfglBhNjN3P7+GjblVzFpQBxWs9JEABxE0w3++MUW3r9tSBMRYDcrvH3LYJ78fJPP7og/7yxh/rYiLuse0Vi5oSgyNbrB03N38OP2IjTdICrQwoPnduW8bhEoLYgdgaAjIUSAoF2gKTK/7q3g+R8yGZseQa2z9QdsrdPjdRXUdKKtCnHdwr0hcAkcmoGChFX2jpx1HfonhjQa8BzOP6/ozZ6SWi6ZtrQxoUyS4OoB8UQGWkkItVHjcDcTAAdxenS+27yf83tGNSY2Xt4vFptJQXe3jUGNpunE2E3sNytNBMBB6l0ad85Yw5y7h2MxDH4zvisLthX7nA65bVQKc44QW1GBFs7vHoWnjcLjiqaTHmLlhUl9qHRpfL9lP3/9eiv7qxzEBFkZmhLK0JRQ5m8tpLTWSc/YQLYWVLO9sJq4YBsPje/KS0e0Sj4cp0enpMbJ9CkDWZtTQbeoAIYkh9Lg0ZpEco7krV+ymJARienAzw1IXPPGcooP82Ioqnbypy+3UHxuFyYPikcSjoSCDo4QAYIzjqzKfL+9hKe+3gp46+Ev7xfH/K2+R68Ao7tENFrCGgeyz+sNic/W5rFgezFWk8JNQxIZlhqKxzB4bdFuXr6+Pw/P2uAN1QPDUkNxuDXeXto0NG0YMHttHolhdv56ac8mLwFfbMytZEy3CCQJLuoVzWPnp2PBoP7AdIBNkdFP8QvVoRu86WPu/CBF1U5K6lzE21VCzQqz7hrKE59vZlexN+ku0Kby4Liu9E0I5o73VwPekP+49EieuqQHNoyjNus5GQzD+49dlbmyXzzDUkLZXFDNuG6R3DVzDXtK6hq3fffXfVzeN5ZvHhwFBvy0vZjSo1SH7K9ycH2/GAbHB6LrBpIEha10YwQorHJw0IpAURW+3JDf4r1/bfEerhkYj++OEAJBx0GIAMEZp8GAf/9wyFp2Y14Vv70gg6hAC0XVzR/CPWICiQ2yNGadK4pEsVPj2jeWN3GgW5tdQY+YQN66eSBfb9xPWa2Ld28dzJb8KvaV1nHt4ATu+3Bdi+c1/Ze9DEgMwaMbTLuhP4/P3uiz4U2gzcTY9Egu7RuLv1nGpRlMX5XD1xsL0HWD83tGc9vIZPykpuWGJ4NHNyj28bs5nNIaJwl+JnRNJznAwvtTB9Hg1vHoBn4WBbskYQDfPTgKh0fHrMhYZFB0A+04SxuPC0WmxOHhhQW7WLm3DD+zyvWDE7iyfxx//mprEwFwkK82FtA3IZghKaGs3FvWOGXTEr1iA3G7D2X9q6qMv8XUav+ItAj/Rve0Bk3nm40tl6y6NYPdxbX0ifQTlQWCDo1wDBSccaoa3M3sY//6zVZevqE//ROCG5dJEoxLj+CtKQMxH/bgdRgSj3660acF7bb91cxZl88lvaNZsquU699cwTcbCyiucWJW5Batig+el6YbPPrpRr7dVMBfLu3pc7tbRyTz/eb93Pn+avIqnVzx6q+8umgPeRUNFFQ5eG/ZPi6ZtpQyl3bUbobHikWWmnQz9EVCqL3xBaVpOiZNJ1CGUFXCoune0jiPhkXXCZK9rXdlTact/cNkRWZ7ST2XvPIrP27zNijaX+XgxQW7KK5xsqSVXgIfrszGpEgs3FHM+T2imzQXOpz4EBuJoXZUVcZiUTGZFDwenQCL0qQr4ZHcP64LNuk4rl2YDwrOAoQIELQDmj9NdxfX8sisDVzaN5bZdw/nmwdGsuixMTx9eU8sutbkReXQdLa10slvxopsbjrMB39jXhU/bCtif5UDq6nlPwFZotE+eP7WIsL9zUQGNG0WdH6PKEprXby+JItx3aOYvjSL0lpXs2NVOzz85ettuE/Rm0PSDe4d09zS9yB944MINCstrj9TOAz47ecbfRr6+EpQPJzssvrGroPTf8nipev7EWBpGsxMCLXx3q2DUWV4f00eT323ky+3FuGQZSwSPDkxgz5H9DsAuGVEEkOSg3EfyBmxKTKX9m25hbNJkegS4S+iAIIOj5gOEJxxgm0qQTYTVUfM2RZUOfi/b7dx87AkHh6T6p1X1wwUVQZJQpIkPG4N51Gy8CvqXIT7W+gVF9iknPDHbUVc2ieW2WvzfO43plskK7IOmRd9t3k/D4/vylu/ZBHub+HO0Sm4dYPHPt0IwDldI7jtvdUtnsfyrDKchkHrNkfHhmEYRNhN/OfqPvz+iy1Nkv66Rfnz6k0DMOtN6/TbA9VOj88pnot6R2M3q60KgcRQO4VVDi7pE8sX6/Opc3n4300DKK5xUFTtJDXCj9RwP9wejeEvLmk8zpcb8nn6+x28f9sQ9pXW8uK1/dhf1cCvu0vxs6hM6BFNSY0DTTc4KJs0j8YVfeN4f1m2z7yAe8ekYRGRAMFZgBABgjOOFfjjRRn87vPNzdYF2lTuGJWC7tEOtIqVWLynjJ92FBNkM3HDkET8LSpmRW7RDKh3XBBLd5fyp4u7U1HnZvbaPDyaTnq0P+d0i2TVvnKyy+qb7BMZYOGesancf1jOQLXDwwXdIxjTJQxVliipc3Pp/35tsp/nKCNDj2acsvibrOmMTg1l4aPnsDankvI6J/0SQogLsRFsVdulD7uvnArwmjstzixhdJdwlrQw13/LiGSm/byLe8d0obTWyS+7Svl1dxnxITbC/Mxc0jeWvnFBjHzu52ZCwunRue291Uy/ZRAXT/uFqwfE0zs+iMp6N5Onr6Sk1sl7UwfTJ9LemA9hw2D23cN5dv4O5m/1lghGB1p58NwujE+PQBLmQoKzACECBGccXdMZkxbGW1MG8sy8HewpqUOWYHxGJL+fmIGfDBgS5W6d699a0STcPmt1Ls9O6s2kgfF8vCrH5/F/M6ErIBFoNfH3b7czLDUMWZL4akMBby7Zy7OT+rCzsJq5mwvRdJ1xGZEMTw3jT19safJZ4zMiUQ2wGAayQTMr3qJqB2kRfj4T2wAiAizebnmnsIGNpHl7DYxOCkaSvGY9gdb2+2cd5mduJtgCLCr1Lo03l2Tx+uSB5FU0kFXa9Hd4Se8YBiWF8Jevt7Ipdy2PX5DO3eekkV1Wh92sMDApBLsqMX1ZdjMBkBLuxy0jkukW5Y+fWeWdWwbz4cocnpyzucm2v+wqoX9MKprmzS3RNB0/Cf4yMYPfX5hxhFmQEACCs4P2+7QQdCpkTWdQbAAzpg72Zq9bVRQMJM3A7dZwyzIPfLzO53z7U19t5ZsHRlFZ7+L7w7rrWVSZh8d3ZUNuFZ+syuHJiRkMSw1rVhI4+e2VDEkJ5aXr+rJkVyk/bivivz/tavKCCPUzM7ZbRGPjGV03SA33axK+/mhlDnedk8YTn2/yeY0Pn9sFP1nCo3ub3hiG0eoc+PGgdZB6dYsEk4cl8s6v+xqXybKEW9Mpr3Pxm1nr+dvlPal1aizfU4bVJDM+I5L9VY7Glsd1Lo2/fbONUWlhTLuhP4bL471+XWFvaR0X9Iziiv5x+JlVFFlCkSX+9d12Nh3wegiymZg6IpnnJvXhd59varwHof5mDMPAYlFwGRL1bg3dALMBfhJokrcW9SgGjAJBh0K0Ej4KosVl2yKpCg7DoKrBg1mV8TMp1Lo8fLomj8JqByNSwzinWwQNbo0JLy5p8TiDkkJ47PxumFWFnPI6PJpBYqidT9fkNnEe/O/1/Xjrl6wmuQEHmXZDPwYkhvDbzzax7LBGRt2i/PnfDQMIM0tNSuc0Reaf83Y2Mex5/Px0VEXilYW7qXV6R5RWk8yD53Zl0oFEM4dmkF1ej79FJSrQ0qTJzqmgvX9nNVXhraV7mbkipzEi8Nk9w7nhrRWNDZ6Sw+z0igvCrRkszyrlsr5xON0as9fmocoSl/SJ4fcTuxNiOzTtYTIp5Ne5+XbTfj5Zk4vDrTHz9qFMnr6y0RvicO4cnUqw3USI3UxUoIUukd4Swbmb99Pg1hiUHMru4lq+2VjAkxdmkBRkQT4DiYDt/X6eCjrDNUL7bCUsRMBREF/OtkNTFab/uo9P1+TSNyGYG4cmsre0jufm7WyyXWyQlReu7cf1b61o8Vjh/mZ+f1F3DMPg6w372VNSS35l82vpGunPHaNTfY7Wp08ZyICYAFx42++W1joJtpnxM8lYJd+185qq8NwPmXy1saAx433KsERuG5VCRZ0L3YDoQAsWwCNJ/PP7HczdvL9x9BlsN/Gfa/rSO8oP6RTV5neI76wq4zSgvM6NRZUJtKq8vyKb131YAftbVOY+NArJMKh3a9jNKlYZgv28lRoHr9OjKvz2880s3e3NKbhxSCJuTW8x8dOiynz9wEju+3AdOeX1JIbauWloEuH+Zh6bvRG3ZjC+eyQ3DU3i7plrmHnbELqF2E571KVD3M+TpDNcI7RPESBKBAWnHZNJwa3IbNlfTY/YQN6YMojecUGs2ltOdKCVt24eRGLooRz6wmrHUevrUyP82V/pIDLAypJdJT4FAMCu4lpigpr7vNlMChkxAWiajqLp+GOQEmAmWAGTrrdonqN4NJ6c0JWfHxvDnHuHM+/h0dxzTipBMiTYTST7m7Ac6Kb3zPydfLtpf5MpgMp6N3fOWEOZQ0Nqg4ZD7RaPjkXTibEqhKoSqkdj6rAkfntBNwJth2Yp+ycE89ndw/CXwGYYhKkyNl1HOiImb6gKu0vrGgUAwICk4FZ9B5wenX1l9aSE+zEsNYySWif/9+02ftxWxJMTMwCvO+GyPaVM7BXDX7/ZhqNTDZkEnQGREyA4bciyhFOW+SmzhE9W5+HSdMZ2iyA+xM6vu0vZeGDONiHUxn+u6cdDH6+nsNqBbsDm/EoGJ4ewel/z1sEA94xJ46OV2fQ7zFyoJY5810oSPH91HyxHbHesMTJJ07HhfekDoOmNlrsHj+HQ4ZuNvlv66gZM+3k3f52YccqiAR0RxaNxfb84Lu8TS71bw6TIWBUJs2G0Ol2iqDLby+r46oiWyZpOo69AS4T7m+kWFYBHN7hjVAq5FQ38c+52rh4Y702wlCCnrJ57x6ZxyzurcOpGY28BgeBsQIgAwWnDKcvc/O5qdhcfmo7ZWlDNBytzeH3yQH772UbyKhrILW/gX99t556xafz1QD+B1xdn8fGdQ7l75tpm2fd3nZNKaa2TMd0iCfc3MzQltMVGMcNSQwmxmxmYFEJprZM+8UHcOyaNcIsKmo6iKtTrBg1ur7ufTZGxSieXeCdJUFjV0KJdLcCafRW4dKOZEOls6B4NC2BRJLytC42jeh3U617PB88RAmpxZjEX9opmuo+2xeAtP61xeHh10R4A3lySxZhuEbx60wCW7SnjP9f2xaTILN9TxqKdJUy7oT+qIkEnFmqCsw8hAgSnBVmVmbE8u4kAOEhVg5vn5+/klhHJ/HPudgA25Fby+4kZdInwp6jaQUmNE4dLY+atg8mpaGDp7lKCbCbO6x7FL7tK+d1n3jn++BAbT1/Vmw3vr2lWk25RZR4/P50dhTX85+o+KLKEVQJJ1zF0HU2R+WlXKf/5IbOx/K9rpD//urIXSUGWEx6lGwb4WVr/UwuymbzTAZ0rReeU4PToLM4s5YFzu/DlhkNJoD9sLeKjO4fxzcYCnwZFj01I58OVTctKF2eW0C3Kn6sHJvD099tZtLPpdML5PSL5v0t7ogiPAMFZghABgtOCQ4ePWqjjB1iXU8FvL0hvssyp6dw2KoWoQAtuTSfcz4zi0egabKX7sEQMwztCH5wcgkWVcXp08ioaePuXvbx36xDeXprFzwce4uPSI7hjdCrTFu5mcaZ32eShiTwwNg3F8IaUf8ws5Q9fbGlyDruKa7nhrZV8/cBIoizKCdvEBttMLTZEArhleBJ2GVF+dgKoisTe0joCLCpdI/0bOyV6dIPfz9nEtBsGMHtNLl9vLMDp0ekVF8i9Y9LYkl/Nj9uKmh2v1uHhqw35zQQAwA/biukeE8Qtg+LRhBAQnAWIxEDBacGQ8Nng53DcR4TcVVniz19t4fb31/D8/J00eHQURcaQZWrcOvWagSzLRFhUvn1wFBf0jEKRJZbsKmH2mhyeuqQHix8fy6y7hpEeHcgDH61rFAAAH6zMYV1uJaoqU6/Dv3/I9HleHt3gufk78ZxE4p5dgv9e1w+T0vwYfeODGJ8RiUcogBPCIksMSw3lT19u4R9X9mJir2jUA4mkueUNfLE+j/vHdeHrB0ay9HdjefXGAby0YBevLd7T7FiSBLePTmHm8uwWP+/dZXupFz0DBGcJIhIgOC3IBnSPCWD7/hqf620mpUnCXo+YQPaV1jeW3e0pqWPy26uYddcwpi/JYunuUmxmhclDEzmnawShqszfL+7OUxd3B7xfbEU3qNUNrnl9eYvn9crPe+g3uT91Lq9ZTUssySzBA5iP+8q9aJpOWoiNeQ+P5s0lWSzPKifAqnLzsCRGdw3HpOmI18qJYTIM/u+ynlz12nLufH8N1w1O5P3bhqDpXoe/MD8z17+1gnqXh+8eHIUELXaPPDc9EoAaZ8uCtbrBg1vkbwjOEoQIEJwWrJJ3DvaOGWt8rp8yLIkQu5kPbh9KRZ2LlHA79360rsk2+ZUNrM2p4KcdxY0P8SfnbKFXbCBvTRmI6tGavKQNoMbResg2u6wOHQn5KKN8kyJz0m9pzduy9/Fzu+AcayBLEjZZwuPRhAA4CXTdINSsMPehUby2aA9fbcjnm40FXNArmkv7xPDIpxsprHIAUNXgIcqucvXAeGauaD7av2dMKrUOT+P0ki9sJsUbaRDRAMFZgJgOEJwWJAnC/M08MqGb1z//sOWX94vliv6xvPhjJpPfXsmLCzLJq2xgaEpYs+Nsza8mOcyvybItBdV8u3k/qo+2wAFH8dGPD7EjAXaTTEKorcXtLu0bi/kUlPEbBqDpWAwDk67jEfPKpwRD01HxujM+cWEGj53fjap6Nze+tZKtBYfcISUJDI/OvWNS6RUb2Ow4wXYzc7fs57J+sS1+1jUD47GJJ6fgLEFEAgSnhTodHvhoPSO7hDPjtiFkl9fj9uh0ifJn2e4y7pyxhj9e3IOfdhSTVVrHfR+u482bB7FmXzn7DuvwF+pnarTjPZwZK7KZ2CO6WYjWIkut+gvcNzYNu+x9Of/zit5MfXdVswFeoE3lgbFp3iqCk/1FCNoMi+ytFHhs9kaf64PtJm/tv6Zj1nTenDyAPaX1jY6C1wyMw6LK/LC1kGeu6svW/Gq27W9qL90zNpA7z0nFEOJNcJYgRIDgtODWDfIrG/h0TS6frsklLtiGIksUVDY0tt/1P6yMTjfg1Z/3cNOwpMayQUWWGJgUyvPzdzY7flWDGw6Ulh+OGYN/X92Xm95e2Wwe+OoB8QxNDmkcjWeE25hz7wie/n4HK/eWY1IkLu4dw2/GdyVAlk64MkBwejA8Oveck8bcTft9JqH+fmIGFllGwWsBbdIMeoTZ+L+LvFUpmkdHMsmMS4/igY/W8Y8re9Hg0vh5RzEA53aPws+s4CO3UyDosAgRIDgtqLKEKkuNL/wjbX1liWbz8utyKvjNeV0bf/7HFb34bG2uz6nY/gnBmHw8nHXdwF+GT+4cxvb91czfVkSAVWXSgHhCrWqTem9JM0jwM/HSNX28fjCSNxFQ1nUhADoI/jLMuXcE//xuO4sySzAMbyvhe8emsb/KwV0fruPJiRkkH2gGpOsGuuvQd0Dz6Nw8PImvNuRz7wfrSA6zM+TAtNR/F2Ry95hULBzdwEgg6CgIESA4LVgkuLBXNN8e1nHvcMZlRLI8q6zJMlkCi0nm0j4xXDMogTA/M3/5amuzfSUJHjmvG6rh++Gs6wZmNAbEBDA2PQLDgKqqegy9+da6bqBiNPnDEK//joOu6YSoEs9c3hOH4a0CKKx28OGKHNbleKeErntzBS9f34+RScHohyX/abLM7PUFzN9WyOtTBvLO0r0s2F7MvrJc0iL8eHJiBuH+Fmo8BlZFRukg7ZsFgtYQIkBwWpB1nd+dn86qveUU1zQ1zAn3N3PXOanc90HTaoCx6ZG43DrBdjO/n7OJmbcP5bwekXy/pbDRWC/AovL0Vb2J8TcftR2vph0a0QtjvrMXXTcwqTIfrM5l2s+7fW7z1NdbmXv/yCbVJA7d4IUFmRgG3PvBOq4dFM+7UwcjyxIeTScuxMarC3dTWONkWEoo1w2MF86Bgg6PEAGC04JhgL8CX9w7gi835vPVhgJ0Ay7pE8PItHCe+noLZYfV6dvNCnefk0pWSR2X9I3h/J5R1Ls0Jg9L4o7RKewursNuVugeE0iISUbz0S9e0Hmp13TmrM9vcX1lvZvyBjfRFgUAVVX4eWtRozgsr3Px/rJsksL8iAiwUFHnJNzfwsDkUMrrXHSL8qeiwUOsnwmXq3UTLIGgPSNEgOC0oWk6ZuCG/nFc0TsG8Jbm5de4CLF7x2SKLHFuRiR3nZOKzaQwe21eYxgXYFBSCE9cmMFHK7PJLqvnlRv6ExTScmmfoLMi4TqKA6PXodIrAiTpQHLpAWQJXrmxPzOWZzMoOQQ/s8rl//u10bwKIC3Cj3enDsbvQNKoJHnFBOD1fhDRJkEHQFS7Ck47mlvDrkggQZ3HINRuYtq1ffnld+P47qFRPHRuFyL8LNzzwdomAgBgTXYFj83eyAPndsXh1kkKtWOIp63gCCwKjMuIaHm9KhMZcKigVNN0RqQd8qU4NyOSDbmVxAVbGZEaxv99u62JAACvi+UDH6/HiYRHkSl26ry/Jo/31+RR5NTwHKWNsUDQHhCRAMFpR1MVft1Xwf9+3k1OeT2JoXbuG5tG/8QQLpm2lKQwP+4cndqitWtOeT1V9W6em9QbiyQEgKA5kqZz75g0vt5YgMPdPCJw1+gUrNKhpE9dN4gPtjY2ILpqQDwfrczmtxdmMO2nXS1+zqa8KmrcGtN+2sW3mwsbl7+4YBfj0iN4+speKGKqStCOEVJVcFqQZQlNkXGpCi/8tIvffLKBXcW1OD06u4preeTTjbz00y6euDCDHjGBrNlX3urx1uVUMCotTPR2F/jEMCBAlph913B6xBxyBgy0qvzugnRuGpKIcWSracPg3amDGZoSir9F5aoB8ewuqmnsStgSO4tqmHhgeutwft5ZwswVOcgHpggEgvaIiAQI2hxdlil2eKhxefA3q3y6Js/ndl+uz+eq/nFsya/Cbmn9qxlkMyH7KPETCA5i6DpxfiamTx6AQ9NxawZ+ZgWbLKH7yOrXdQOrpPPS1X1w4+0XsWpfOdGBVrIPc608En+LiYo6V5M2xgeZsTybGwYniGZDgnaLiAQITjmyKuOSJNyyjMWiklvtwOHWCPez8MV63wLgID/tKMYwYHxGZKvbXd43FrcIswqOgqbpmHSdAAlCVQmLrvsUAAcxDANV1/GXJawmma/W53PtoIQWt48PsSFhsL+qgScnZpAeFdBkfY3Tg0v4CQjaMUIECE4aVZUxmRRkRaZOkvjf0n1MnbGWez9ez7zMUiKDbDg8Gv/7eTe1ztZf3A0uDd0w2La/mkkD4nxuc/PwRALNisi+FrQZmkcjwt9Caa0Tj25wuY+GQjFBFj64fQhmVWF3cS1z1uUzdWQy70wdTFywt2LFapK9HSgFgnaKmA4QnDC6LNGgw5LtJdQ6PQxOCaWgsoGvNxZQWuut+d/42SZ6xwXyp4t7sCG3ggfO7conq3NbPOa4jAiem7eT77YU8sxVvRmYFMpHq7LJKa8nKdSPB8al0Tc2ULi1CdocmwQPnNuFP36xmT9e3J1L+sQyd9N+qhrc9E8KZlL/OB6fvZHlWYfyV+Zu3k9KuB8vXtePu2au4ZLeMdhkMMTXVdBOESJAcEJoisyn6wt48YDD2kF6xgby2uQBvL8sG8OAXcU1bM6vZtmeMpJC/YgPtvKfa/sQaDVRUuPks7X5jWWAyWF2+sQFMf3mgXy1oYA12RVc0iua128aCIaBDFglb4hXIGhrdI/GZb1i0HV44YdMzKrM+O5R9I4LZHx6BJ+uyW0iAA6yt7SON5fs4eHxXbmwR5ToOCho1wgRIDhuFEVmW0kdL/yY2WzdmG4RKLJMUqgdWZa4fkgCwTYz/12wk8cvSGdTXiXvL8tmX1kd8SF2bhqayG0jk5m9Jpd/XNELP0VC0iVuGpyAn0nG5dLQtMMavJzOCxV0ehRN45q+0VzSJ4b8qgY8mkFFnYuyOjcfrMhpcb+FO4r508U9qHdp2MyK10wIsCvg8VGyKBCcKYQIEBw3TgP++1NzT/YnJ2ZQXufit7M38edLulNU7eS7zfsJspl4YmJ3csrr+eOXWxojB3tKavm/b7dxWd9Ynr6qNwAfrsnj+62FmGSZawbGMzY9Aoto4ys4g+geHUOWufGtlY2GQTNuG9LE5rrZPgZUN7ipdniYuWIfa7MrCLCauGloIhf3isak6cLkStAuECJAcNxowO6SmibL4oJtJIba+XBlNv++pi8Pf7yBwmpH4/rXF2fxwLguPHlhBk9/v6PJvl9vLOD2USk88skGskrrGpevz60kNdyPmbcNwSxiAIIziEc3mjgGlte5iAu2NWuJfZDRXcIprnVy14w1ja2vS2td/GPudj5bm8e7twxCFdMEgnaASFsVHDcSEB1obbLsxqGJVNS5mH7zIHTdYNLAeML9zU22eeXn3SSE2on34fX/yeocesQGNlueVVrH9F/3CsMVwRnFpEjEBB36zn+6Jpcpw5Iaf76gZxTvTB3MjNuG8MHtQ/nb5T35dHUOvgJYOwprmL+tCFUVj1/BmUd8CwXHjV2Gu89JJSrQws3Dk/jXlb0YnxHJkl0lXPzyUia/vYodhdVMu2EA49Kb1vt/vCqHK/s3L/2rd+mYW3gofrI6F4eYDjghvE1tZBRRpnZSmGWJO0enNv68bE8Z8SE2Lusby+8nZjAgMYRHP93Aze+sYvLbK7nhrRWc3zOam4cn+TzeBytzqD+QGqCqMh7Z660hxK7gdCOeDILjQlIVanXoHR/MB7cPZVSXMNKjA7ny1WXM31rUGDb9aXsxU99dxa0jk0kKszfuv6+sjqgjoggAw9JC2ZJf5fMz610aIpXq+PEoMqUug+92lLJobzkNkowuxMCJYRgkhtm4Z0wq5gO/w0c+3cD5PaIItpt5+vsdVNYf6kJYVO3k8dmbGJ4WRlqEf7PD1Tk96IBHUVi0t4J7Z23g5vfX8tLiLGoMCRTpdF2Z4AygqDIuWaZSgxoD3PKZE+oiJ0BwzGiqwjvL9zFzeQ4Nbg1Jgucn9WHmikwafLj3OT06//1pF1OGJfGPudsBSAixU1LjbLJdfIiN2CAbmUW+PdrTIvwQ46Pjo9Lh4XdfbOGXXaWNyxRZ4tHzujKpX6zwWThOZM0gwt9CrcPDzNuHsL/KgUWV6R4TyLVvLG9xv9cW7WHysET+9s22JssHJ4fi9Og8Mmcza7IPdcrcU1LLp2tymXnbELoEW0U57FlIrcvDz1nlPDtvJ8UHnoXpUQH868peJAZY4DTboYthgeCY0BSZf83byZtL9ja+8A0DooKsLN1d2uJ+a7Mr6H5YA5cpw5KaWAcPTQnltZsGsjm/ssVjPHJeN2zim3rMNHh0np63o4kAANB0g+d/yGRbUa2YHjhODMMg2s9MRnQAN05fyT+/285TX28lp7y+8UHui015Vc0iASZF4pYRySzZVdpEABzE6dF5+JMN+E45FHRkdMPgpx0lPDZ7U5Pvzc6iGq57cwWlTg+yfHqjQOJJIDgm6j0GX28saLbcMDiqfe/BrOqbhyXRJdKfmbcNZe6Do/j5sTFc2CuaO2euIS0igEkD4pAO+/6bFInfXZDOoIRgPB4xIjpWapwevtnQ/F4d5IUFmThEisVxI2s6E7pF8PNjY3jkvK7cMTKFuODmU1uHox7xQI8OtPLf6/tTXudk1uqWfQb2VzmobPCckvMWtB8qGjw8c0R11EE8usHz83fikU6vCBDTAYKjoigy6304owHkVTSQER3AjsIan+uTw+xYTDIf3jGUNfvKMSsSdkPHbpaRFUiP9Kes1smDH6/jnjFpzLprGLuKarGbFQYnh2ABJE2UUh0PtQ4PnlYSKXcW1iA0wIkh6zo24KL0cBqQ2ZRfRa+4QLbkV/vc/oKe0SSH2fn4zqH4WVQq6ly8vHA31w9OaJJD4Isah5soi+g/eDZR6/S06i+xeFcpHsDc4hanHhEJEBwTLTVB+WBFNg+M69Lifo9M6MbPO4q5a+Ya4oJtWA9Tubpm0DXMzryHR3PdoAR+3FbEywt2kRRmZ1RqGFZNRxJzoseN1dR6BkWEv+WMigBV9XaXNJs77hikQYfffbaR5+bt5PHz07H4qGwJtKncPCKJy//3K3fMWIPbo1Na52RtdgV7S+uYOjKZ20elcGX/OPyPaJ0tSRATZBVNsjoYRxvEy0fZ4MjI0emg4/4VCk4bmqbTLyEYWaJZ3fO2/dWszang1ZsG8I9vt1FQ5TUIigq08NsL0ql2uKl1ePji3hEEmRXkI1/qmk6gBI+MTcOh6yhImCXQ3CIUeqL4WxT6xgexOb+Kc7pFkBbhT63Tw4/biiivc3HryGTsssTp1leKItGAxPLsShZnlhAZYOWq/rEEmJUOl6hY69L4ZXcZADNXZPP+bUN499e9LNpZgipLTOwdw9QRyfzpyy1UHBjx/7SjmIm9orm8Xyzj0iP5aUcRu4triQ6y8trkAfy6u5TXF2cBMLFXNFZZAk2ogPaOokg0GBLVTg+1Dg+RgVasMii63kzE+VsU4kNs5FX4zvi4uE8M5tOsAySjk3lX6rpBWZnvLHRfBAV5jW2qqs7uNJ2jXadhUnhnWTavL8lqti49KoB/XdULm0lBliR0wyDYasKuSjjcOiZZwtC0djGqaU/3U1Zl6nVwuHUsqoxFBkU3TtpONijIRmGNk+IaJz/vLGFLfhUhdjOX9I2h1uFmaHLoaXerUxSZMpfO9W+taBYOfWBcGpMHJxy3EDhT91JRJH7NqeLBWRsal4X6mbluUAIDkkLQDYNdRTVYTTL/mHto/nfSgDgePLcra3Mq+N1nm5o4EAI8OqEbtU4P+0rr+NulPRrvUXv6zrYVHfUaJUUmt8bFg7PWN77YJQku7BnNUxd3x3TEcy8oyMaKfRXc8u6qZs/DQKvK1/ePxF8yTumzMizMv9VkwzaNBNTV1fHiiy8yb948qqur6dKlC/fffz/jx49vdb9p06bxyiuvNFseHh7Or7/+2lanK2gN3aBfYjD/d3lP3v11H3tL6wiwqFw5II6LesdwzwfruHVkMsVVDu46JxWTR8OtgcJpr3jpEHhUhZkrc3h/2T7qXN5yy3HdIvjLpT0IUOSTKg3TDaiodzPl7VVNSje/3JDPlGFJDEsKQZJAVhU8hoFJkvD4KPE8lTQYcOfMNT7nQ1/5eQ+ju0bQJcjSIXpEGAYE2kxNlpXXuXht8Z7Gn4elhjIkJbTJNj1iApEk+MOczc0EAMALP2Yy/zejCTYrKJom8jY6ALW6wQ3TV+A4rCmUYcD3WwpxenT+dWkPlCP6SPeLD+Tze4bzz+92sDa7AlWWuLBXNI+e140ARUI/zdGfNhUBDzzwANu2bePxxx8nPj6eL774ggceeIDXX3+dMWPGHHX/d999F7v9kNGMyWRqZWtBW2KSJVbtLWdDbhX3jU0jKtCK06Px7ab93Pz2KlyaTmKInav6xWHShLlPa2iKzDPzdvLVYdUWhgELd5awbf9K5tw7nJP5plc63Nzx/hqf3g0zV2Rz09BEdN3g/UVZFFQ56BMXxNUD4/FXJNpqjqCiwc2+svoW17+2eA/PXt4TuQO8+nTdIC3cD7tZod7lWzxd3i+O937d1/izn1nhot4x/Lq7FGcrlS6frM7lodEptLEmE5wCZFXmw2XZTQTA4SzcUUzdxAwCj0gXsaoKSf5mXrmuLx7Da8NulrxJp7pmNOYVnK7IaZuJgMWLF7Ns2TJeeeUVJkyYAMCwYcPIzc3lmWeeOSYR0KtXLwIDm/vJC04/HrfGTUMSeXfZEtblNK9tDrGb6JcQjOrx+PRLFxyi3mM0EQCHU1jtYOGOYi7OiDihskhJksivaKCk1nft+iPndeXrjQW8uujQqPWXXaW8+UsWb988iO7h9uaJHyeJLEvsr3K0uk1OWT1u3aCj5MJbDxhlPTBrfbOH9bDUUAKtJnYWeStmgmwm3rt1MH6qRG5Fy0IIILeiAY/4++kQODVa9UgBb/3/0LjAZhEuXTdQMZq8gA1FxmFAQWUDiiwTHWjBKoHRxvkybSYCfvzxRwICApqE/iVJ4sorr+TPf/4zu3fvpkuXlrPKBW2PqsrU6wY6ErLLQ8BRsrX9TTIvXduPR2dvbBLODLSqzLhtCDYMIQCOgqLIrG2h3PIgX2/az3ndIk7IJVGWadK9ESAywEKXSH8UGfolBHPLu6ub7efWDO7+YB0/PjKaU107oOsGsUepp08Ot2PuQIlwhqYzKD6Qbx8YxcsLd7Epr4pQPzPXDIrnnK4RbMqr5KHxXUgMsTM0NQw/CTwuD73jglo9bt/4IFQJWi8eFLQHJIlmVR1HEmA14ZRkNNlAbSXhT1MVPliVw5tL9uI68NL3Myv88aLunNstvE0TZ9tMBOzatYsuXbogy01jIenp6QBkZmYeVQRcdNFFlJWVERYWxtixY3nkkUcICws7qfOSpENJKMeCeqChx/Hs0xGodnpYvLuUN5ZkUVjloGtUAI+c1430KH/8zS2/fsalR7Do8bH8uK2I7LJ6BiQGMyQllFCb6ajlMe2BM30/JclrgtQaqixhtarYj1Lq1xIp4d5YcnSglT9d3B1FkdiYW8mAxBDmbt7f4n4Nbo3N+dWMT484oc9tDaPBTVqEP3tKfCfl3j+2C8H+xxcHONP3EiAkAP5xeS92Ftews7CGr9YX8Nevt5EYaic6yMqI88IJs5saS7/So2VC/cyU+8iNMCsyl/eLw25vWiXeHq6zremI1yhJMHVEMqv3NY+MgvclHmBVGf3vRWi6wcCkEP50cXe6RvoTFGRDkiTAQNNh5qocXvl5T5P961waf/hyC+9MHczotNATnh442nO5zURAZWUlycnJzZYHBQU1rm+JhIQEHn30Ubp3747JZGLdunVMnz6d5cuXM2fOnMZjCE6MKqeHP3+5lXlbCxuXrdpbzg1vreDJCzO4YXA8thZeQFZVxupvZsrQxANLTm0m69mOYcDApFCf5ZYHuX5wAn5m5YR/r8F2M8NSQnn0/HT+8MVmdhd7X7x3nZNKQWXrYfm8igYk6dTPRwbbTEy/eSDXvbmimc3u4+d3IzXc79R+4GkkyKrSPSoAm0lh9d5yBiQG0zsuiCnDkwmyqY0CoKLBzT++3cbL1/fnN5+sp7T2kBCwmxXenDKQMLvIe+ooGIa3B8Tg5BBW76tAkmBkWjiX94slyGYizN/MnPX5jVHTtdkVTHptGTNuH0q3SH++27yfjXlV3DYqhf/9vLvFz3n2+x30un0wwda2+W60aWKg1IoEaW3dFVdc0eTn4cOH069fP2677TY+/PBD7rvvvhM+J8M4vjKUjlq60hKyLLG3ytlEABzOc/N3cFGvaFz1LbtadWTaw/00KzJ3jk7lDR/llt2i/BmUGEJl5bGdnyxLOCWJsjo3e0rrCPM3Y1Zknp3Uh8dmb2wUAAC55fV0i/JvdR6zR0wA1dWONsnSD1Jkvrh3OJvzq/l1Txnh/mYu7ROLXZHwNLg43lvSHu7l4aQGWnjqkp6sz6lgya4SLpn2C+lRAfx+YgYpITYKalzM31ZEflUDz1/dl/J6F1kldcQEWUmN8GNXUQ3dw+3oR+SCtLfrbAs66jXKErx8XT+W7iklLsTOuuwKXl64i5IaJ92jA5k6MpmYICvPztsJeIX/H7/YzGMTuvHXA02lruwf16p75M6iGhwunSrnif1uwsL8W40GtJkICA4O9jnar6rytos93tH8yJEjiYiIYMOGDafg7DovkiIzc0V2i+t1A5buKWVit/DGxDRVlQEJrZ3U+nd0ZE3n1uHePgr//WkXeRUN+JkVrh+SwO0jU7Do+jFVV8iyRK0hccf7a9h12Ms+1M/MG5MHNpuv/Gl7MTNvH8KM5dk+bYWjA60kh9rR26imU9N0zMCQuECGJwZjGAZut3bKExHPFLUGXPnq0iYj/I15VVz/1kpeu2kA5gPTQFvyq7n1vdUkhHq7Z5bXudhVXMvApBDOT48QDm4dCMMA1aMxKi2cRz7dyIq9h/J91udWsn7WBh4a34XJw5L44MBzN7usnlA/C33ig5jYK5rwgNanwSyqjCwDbVQx0mbfty5duvDDDz+g63qTvIDMzEwAunXrdtzHNAyjWY6B4PjQDIMaZ+tufDUOD4Yi40LCrRks21lKvUtjWGooYXYTJh9OWILjQ/FonJcWyoiUoWiGt328VZbQPcdeXumUJKa+u5q9pXVNlpfXuZj89kpm3j6UX3aXNoYjXZrO/K2FzL5nOFsLqsgua+CL9XmU1rqIDrQy8/Yh2KQ2e9Y0omn6WdciV1Zl3v81u4kAOJw/f7WFj+8c1mRZbnkDueWHRndRARavsdZZIoo6C4ois7mwpokAOJxXf97Dh3cO5cOV2V6PCatKbLCVqwbE8+X6fELsZgYmhbDWR0dJgCv6xWKVpDYrnm0zETBhwgQ+++wzFi5cyHnnnde4/MsvvyQlJeW4KwOWLl1KaWkpffv2PdWn2qlQgfMyIlm0s6TFbQYnh7Ihv5plWWW8vXRvkxf+kOQQXrquH2YRFThpPB79UKMQ4/hMlWRZIq/S0UwAHMTp0Vm4o4hx6REs2F6MKkv848pemBSZ5+btpLDaQbcof169aQABFpVAq4oNzrqX8+miQTf4qpXOjaW1LtyaTqBVpdrRVIQPTw1jyvAkksP8KHNo+JkVr63zaXZ1FJwYGjCjleiqRzfYVlBN10h/MotqmXZDf34/ZxMr93pf+qW1Tp67ug93z1jbbIAWHWj19mZpwyZqbSYCxowZw9ChQ/njH/9IZWUl8fHxfPnll6xdu5ZXX321cbspU6awatUqdu7c2bjsiiuu4IorriAlJQVVVVm/fj1vv/02SUlJ3HTTTW11yp0Cj0dnbHokIfbMRk/zw+kVG0h5vYuyWhfTf9nbbP2qfRU8/f0O/nxheps19zlop+vWdEyKjE0GQ7QSboIsezvYtcaW/Gp6xAbC9mL+dEkPVuwp58sN+Y3r95bWMX9rEU9f2Ytzu4T5dLETHCtSY2lXS+i6wRtTBnLzO6twHyiFvHVkMj1jA/m/b7Y1lnaG+5v5/cQMRqWENu+1IWh36IDjKO5ODS4NsyozIDGYgkpHowAAbzLuCz9k8s6tg/lyfT6LM739J64aEM+k/nHYDlQQtBVtJgIkSeLVV1/lhRde4MUXX2y0DX7llVc499xzW903NTWVjz76iOLiYjweD9HR0VxzzTXcd999wjzoFGBH59O7hvPAx+sbDU0AzukazqPnp7O3pJYZy/e1uP93Wwr57QXptEUxj0dV+GBlDjOWZ1Pj9GBRZa4eGM/9Y9Mwa/pJ++qfLRiGQcRRSurC/c1ouk6Ev4W4YCt//Trf53Z//morox4bg7UDuPW1VywynJsRyRfrff+O/cwKNrOKWzP46dExLNxZzNb8aoanhXHXjLVNti2tdfHY7E28fEM/BieGUOvSWi3bFZxZzDKMz4hkRSv+H6O7hhMZYKF3fBCPfrqx2fo12RVMnr6SS/vG8u7UwdhUqTEa1NbxINFA6Ch01KzVo6EoEg5Dot6jU9XgJiLAgixJXPa/pcy+ewQX/ndJ42jFF98/NJpw06k1BvAoMn/8eisLdzSfqugRE8j0KQMxnWRY7Gy5n4qqUOz0cPkrv7ZoQ/verYMJsKhUOdx8tb6gRZdCgOev7s15aWEn5FJ4pmhP91KSoEqHi15e6vN+PHhuF/IqGvhifT4RARZeu2kAMUFW7pyxlm37q30eMz7ExhMXZjBnXR5PX9Ub1e05a6fg2tO9PBGcisIlryz1meU/PDWMy/vHMmNZNveOScWkyjz48foWn68zbx1M9zD7KRvwHK2BkMiy66RomoFJ1wmSIdHPRHSABY9u0D0mkIp6F1GBrTu8GUCFZuBRTs1XSJKgvMHjUwCAt2VxZnEtylGMdjoLHsNg/pZCnpnU22f5zzWD4tlTUsuk15ezr7SeyobWPejKal2tlu0KWscwIEiV+ezu4fSM9UYr0yL8+dtlPfjq/pGcmxFJYZWDAYnBXNI7hm37q9ENo0UBAN4wcZDNxM87S3jgo/W4RVJ0u0SWJTy6zuuTBzbeewBFlri4dwwPju/Cv+ZuZ9v+ah6ctYG5m/fzh4u6t3i8+NBTJwCOBVGNImjEZlK4sn8cs9fkcu2gBF74MdPndgMSQ1i1t4y/frONS/vE8MeJGSgnmcSkqgoLNrTsZgfw+bo8+l2cgdaGSTIdBUWWyCyqweXR+fbBUUz/ZS+ZRTVEBli5emA8ZXVO/nagDnlxZgn9EoJZnNlyMujApBCRFHiSGJpOQoCJV27oj1s3yK9o4OWfdvHsvJ1EBli4dWQyQ1LCmPbTLgqrHSSG2nn5+n788YstLVbsKAdGcGuyK6ho8BBpkc/aaEBHxYXEw7PWU9ng5o5RqXSN8sdmUnC4NRZnlnDn+2uoO6zR1Dcb93NFvzhC7KZmeVnndY/Cppxe+2whLQWNhNpVesQEsnRXKb3ighie1tyiOSLAwr+u7MXHq3IB+GbTfj5bn3/AS6BtESPVw9B0bhmezP8W7eHZ73fw0Lld+NtlPekW5c8/527jqa+2Nib6/bKrhJFdwlv0OU+L8CcuyNoh2vi2dxp0mL+1iG82FnDre6tZn1tJvUtjX1k9f/l6G3//dhvn94zm+y2FTH13NR+tymHajf19RnP6JwSzs/BQzs76nEqUUxR5E5w6HJrBxrwqssvq+fNXW5i2cBfztxZy3ZsreHXRniYC4CALthdxQc/oJsvGd4/k75f1QD3NvddFJEDQiGFAmM3E0NQwHvxoHf+8sjc3DE5g7uZCHG6N4Wlh9I0PxqXpZBYfeji9vXQvV/SNPakOcB6PxoTuUby4YFeL21wzMA6tA81ZtyW6bpAQbOWyvrF8vbGAW95dzZMTM3y6EOoG/OeHnbx180Ae+3QjBYd19OsdF8SrN/bHYhii/fMpwKkZDEgK5vo3V/hcv2xPGdcOSiAx1E5OeT0rssoZ2y2Sp6/sRVyIHcOAsjoXs9fkcM+YLjz11ZbGfQNsqogCtEOcR0TQLGrLLaYPUuvwcPfYNMakR1Dd4KFLpD8xgRZMZ6D0WogAQRMUTeO+sWl8s6mA33yygYRQG2O7RWJWZRbuKGb7/mrigm1NvqgV9W7cmoHlJAbqhgEhNpXze0Tyw7biZut7xwWSFu6HLkLWjaiazu8vSOfi3tG8sWQvoX7mFnvcr9xbTmW9m39d2RuTKtPg0kgIsRFgVrBgiCjAKcKsKuwpqWvVBHHu5v2cmxHJe8v20TM2kEHJIby5JIufdhSj6QaJoXYeO78bNrPMvjJv62GTIjEgIVhM2bRD/MwKVpOMw+29NzsLa7iyfxzvLdvX4j6DU0J54rNN5FU0YDMplNU5+ezu4cTZTXCaq3REbEnQBMOAIJPMzNuGEBNkJbe8gZkrsnlv2T7iQ2xc1jeWt5c29Q+wmmTUU5Cwp2o6/3dpT34zvitBNm+zDJtJYerwJN6YPBCzeFE1Q9U0BscG8r/r+pIUbOX5q/v4DC0PTw3DAP701RY+X5vLxrxKAq0qJl0XAuAUoSkyP2wvbNYg6UjqXR7MqoxZkfnrZT25a+ZafthW1Dh9k1Nez8OzNrA+p5JnJ/UG4C+X9sQsifvUHrHJcNOQxMaf8ysbMCkyaRH+PrePCrSQHObH1oJqqhrcFFY7cGsGS3aVnpZp1SMRJYJHoaOXrhwrR16nyaTgQKLereFw6+iGwdcbC3jv133NTFEmD03kN2NTT5mhj6Iq1OsGbs1AVbz1svopck872++nLkuUOTVe/mk3G/MqCfUzM2lAPCnhfnh0nXqXxvI9ZZhVmSv7xxETYDnppM4zRXu6l4ois7G4lodnbeC/1/fn1vdWt7jtY+d3Y0VWGWF+FkL8zLzfwojRblaY9/BoSuucpIb54T5Lm3pB+7qXJ4JHVXj+x0y+WJ+PYUBMkJWXb+jPCz9msnxPWeN2feOD+MPF3fnDnC3N2mr/+ZLuTOoV7e2ncQo5WomgmA7oBKgHXqqa4e16ZTvKS1VXFbaV1vHur/uodngYmBTCtYPjSQv34+9X9MLl0flpRxFLMkvoFhXAfWPTME7hi0TzaFjAO72gG8dlp9vZkXWDLuF+PDepNzuLa9mUV8nPO4oYdnF3fsksIa/CwZLMEgqqHMxYns0lfWL40ymo7ujsOA2YtnAP1Q4PhdWOFr3gQ/3MDEkJ5YUfM/nXlb1bbSFb79LYW1ZPj+gA7CaF1v0hBWcS1aPxxHldeWhcF7YX1mBRZWIDLbwwqQ9OTaei3o2fVWXZnjIe/WQj+T66hI7rFnnKBcCxIKYDznI0RWHR3nJufGcV5/x7ERNe+oWXl2ThUpRm6rDK4aFcgxXZFTg8Bpf3j6PG4WFHYQ0l1S7W5lTw0oJM3v11L/0Tg/np0TG8P3UwZjFP2e6wmWTWZVfw7cb9/OHiHvy8o5hfdpVRUuvkDxd35/mr+2A1yXy7aT8LdhSfkTDk2YSGQXaZt4/DM9/v4PHz07mgZxSH/4n1jA3kfzcO4P++2YZheL0xjhaHbXBp/OGLLVQfpemX4Mwjazp+GAyJDaBvpB9mTUfVNAJkiAkwYzcpdI8OYGx6BH5HOEDeMSoZu3pmqp/EdMBR6MhhKkOR+XBtHv/9qfloIzXcjw9uH4LJoyHLEg5Z5r4P17Ex79B4Iz7Exn+v70+d082dM9Y2c0JLDfdj5m1DMHeguv2OfD+PlYPXWFDlIK/SwX0fraW6oelL5PweUTwyoRvvL9vHmuxy3r9lMOYOFnJpT/fSLcvc+/H6xr+fAIvK1JHJjOoSToNbw25WiAq0UlDpYNmeUgJtJi7qGc27y/f57NEB3nyYt6cO4sa3VvL9w6OIMJ29HgHt6V6eSgxForDOwzPzdrAiqwyLqnBZ31iuG5LAn77YjEc3eOjcrgxKCEZpo+eomA7oxDgNeOXnPT7XZZXW8cuuUs7vGk6DYXDLu6vZXdxUHOVVNJBXUc9LC3b5tELNKq3jkzW5TB0cL0r32iGqIvGXr7c2EwAAP2wrYlTXcGKCrTw9sI/XiVHcwhPGKsF9Y9O4+4N1ANQ4PUxbuJtpC3ejyBI9YgK5ZlA8//khk/ToADyazn8X7OLL+0cye00eVT4cHe86J5U567y9CBbtLOGGfrFnJFwsODFUVWZzST1T313VWC3S4Nb4ZE0uP+0oYs59IzAZYDfJ1Lh1qjUDRZKwqd6maafLwlvEAM9SFEViS0F1q53hPl2bh9MwKKhyNhMAB4kIsLTYrhbg41W51IuXR7ujyuGh1qk1Sz46nFmrcgm0mrj57VWU1rqFEc1JoGk6feOCuHFIQrN1Ef4W/nRJd95YnEVVg5tVe8tZl1NJrdPD8/N3MOfeEYzpFtFY1RETZOWpS3oQ4mfms7V5AJjFvWmXKIqMrsh4ZAlFbRrirzfg93M2+ywXLa11MX3JXlRV4ofMUq58bTnnv/QL419cwpT31rCrwoHRyuj9VCIiAWcxnqPM1Wu6gSRJrNrXcvcr91HUaLWjdU96welFliVK6lw88slGpo5MbnXb4hoHQTYTDW6N332+iemTB2A6Pad5VqJ4NB4ak8bkYUnMXpNHZb2b83pEEmA18Yc5W3wmg83fWsQTF2bwxMQM7hydim4YVDvczFqVy9LdpY3bjcs4M0ljAt9IkoRLllmVW8mHq3JwuHXO7xHJJX1isGOgaQb1Ls3nPbeaZPzMKt9sKuC6IQn89rNNTdbvKanlhukr+fr+kURblTYv4RUi4CxF0wx6xwW1mnx0SZ8YbKpEmJ+5xeOYVBmLKrfYqW5QUoj4ErUjnJLE1HdXs6e0lj9c3HKTEoCuUQHkVngfUtv2V+PQDE5xY8hOh6LrRJplfjMmFSSo12D4swtb3F6WvHXlVfVu3vl1H+tymlcU3DgkkWCbCa3h7C0R7Gi4FZl7PljHpvxDOVTrcip4Y0kWs+8eTogqobmbPjN7xwVxz5g07GaFygY3MUFWJAmCbKZm00GabvDs/B08f0Uv5DY2DxIxprMYqyJx7cDm4Unwhign9ozG6fAwIi2ssVHJkXy3aT+ThyX6XCdJ8NsL0jGJPvTtAkmSKKxxklNez6s3DqTO4WZUl/AWt795eBKz1+Q2/nyk/4PgxDAMcLk8uJweDAxG+OjBcZDzukexKbeKXcU1PH1VLx4Yl0aw3RuPiQu28c8revHohK74H5FNLjhzKKrMZ+vymwiAg1TUu/nd55vwyDL+VhMBB/p1nNM1nEcmdOOfc7dx63ureeSTDVz/5gqenruDN6YMJMTePAb3y65STkdNiBABZzGKpvPI+C48PL5r45dRkmBMt3A+vXsYtgMvbwvw98t7+jxGg9vDrSNSuHl4EuphQiHEbuLVGwcQ42cSjnPtBEWR2JBbyR8u6s6cdXnc//F6Hjy3C73iAptuJ0s8OqEbmUW15B2IBPiZFfGiOcUoiszOwhoePLcrgdbm8bJgu4nfXZhB95hANudX89CsDdjMCnPuHcGS347l0zuHclF6OIEtNH4SnBnqdXh/+b4W16/LqcQNzFy5jztGp2BWZB4c35X7PlzbpG8HwC+7S3l+/k4ePz+92XFMp6l1tCgRPApnQ+mKrCo06AYNbh2zKmGVJVTjkF+8oki4FYWCKgf/+3k3mUW1RAdZuWVEEt0iA8gtq2djfhUjuoThcGtEBVrB8DpcB1gUbJJXTSqKjK4b7Xru8my4n0diMsl4DAmTIrEqtxKTqjD1Xa9jXVSghReu7YfNpLAmuxxJkugTH8TXGwr4cGVO4zEePLcLUwfHo3egKo/2fi81WebB2RvRdPj9RRl8vjaPn3YUI0swoXsUk4clsWpfOU99tbXZvk9emM4VvWNQdL3dX+epoCNdo0uRGfX8osZpVkmCUV3CubxfLEE2M/UuD4ok8cDH63nmqt6E+plZkVXGO7/ua/GYM24bwr0frG3ScfDK/nH84fyucJJ/k6JEUIB+0IFPwRur1A51jJMVmWKnxqOfrqekxsmkgXFM6BFFQoid9OgAbnhrBZlFXtG0paCKm4Ym8cBH6xurCS7oEckjE9JZl1PB1oIqukQGcF5GJBbJQDqNPbE7I7IiU2/AV5uKWJZVRoS/mcnDkympdqDIEhLwt8t68dP2Ir7fXMg9Y9MI8zNz94w1VB4oGzQpEjcPT+KmwQmnzJpZ4MVjGJTXudlTUsuUt1dyWd84npyYAQas3ldOrdPN/koHH9w+FKtJJshmwuHWqGxwU+/S0GUJpeNosk6DZECPmEC2FlQTYFF5+Yb+bMqv4qUFuyipcZIeHcDto1L448Xd8bOoWFSZdTmVrR5zf1UDr9zYn5d/2s36XG9fj4fP7YKk6W0+2SoiAUehIynUE8GpyFw0banPWvKx6RGM6hLOP+ZuJ9Cq8tbNg7j5nVWNSYLndA3npmFJPDxrfWMHLfC+WF67aQB9ovyR2tlUwdlyP2VFIr/Oww1vrWjWr3zKsCS6RPpTVO2gpMbJ7ANlZgATekQxeWgiLk3H36ISH2zDKgEdMB+g3d9LReb5hbv5dE1es1U3D0vi+iEJvLRgV2P3wDA/M7ePTuGCntHsr2wg3N9CkFVtTNxtt9d5Cmj39/IwFEVmXWEtd8xYwys39GfGimxW7W1eYfXAuC6M7BLOkswSthZUsWRXqY+jeXl2Uh8+X5vLLSOSKalxMKZbJIGKdEq6ph4tEiByAjoxiirzxfoCnwIAvAYlPWIDsZpkbhmRzOa8KsamRxB64KF037gu/GbWhiYCAMCtGdzzwToaDJFq3lY4DIk7ZqxpJgAAZq7IJszfzISeUXy+rukL6MdtRdzy7mp+M2sDK7PKsMtShxQAHQFJ17lzVGqzpFtJgmsHJ3Dbe2uadA8sq3Px3LydvLN0L7/sKuXC//7CPR+uI6ey4ax1CuyIaJpOr2h/nr6yF05N9ykAAF5bvAebWeHHbYVc3i+uxeNZTTIJoTZW7avgoVkbGJQcRpDCaWubLkRAJ8apw8Idxa1us6eklpev78/w1DD2ldURGWDluav78MaUgWwtqKKhhfl/j27wzaYCTCaRbHaqkSQorHG22rL2szV5eDxGi33t61wa32wqpEEIgDbDMCDYLPPWlIFNEgNHHxgdFlY7fO738aocxnePQpElNuZVcfXryynz4SgoOHMoms749Ejmbtrf4jaabrAhpwKT6m21fk7X5pU6kgR/vKgHH6zIbtzn+fk7cHP6BlAiJ6ATIwHWVjLCrSaZkWnhPPbpRtbnVjYun7kim39f04eCSt8PsYPsKKzhNH6XOw2SJFHUwgvkIPurHFhMzTV+QqiNm4Yk0SM2ELMqoyiyd95RDDXbBk2nT5Q/3z00iuyyeirr3fSIC+ThWRta3EU3ILOohvgQW+M+32ws4No+MXhE3ka7wdD1FgdBB3FpOmZF5vdzNvPva/pyXo8oPlubR1mtix6xgUwemsjPO0v4bnNh4z6/7i7DY0DL7i2nFiECOjFmyTt/fHi/68O5dmACby/d20QAADw8vit2s0pMkLXV43eL8hcaoA0wDIOkUHur26RF+hFgVbGZlMYH1eX9YrmyfxyvLtrDM/N2IEtwbkYUT16YTrBJwhCJnG2CoelYgPQQG3KYDYdxSBtHB1o5v2cUdrNCZlEti3YWox9o+X24Lpu/tZDLekWLB3Y7wizB+d0jW3x+grdq4PXFWdS7NO77cB2944J4/po+rM+pZF9pHY/N3khpbVMTKNtpjp6K6YBOjKbp9I8PYkBiMJLk7RqYGGrHZpIJ8zNz/ZCERu/ygwxNCSUq0Mp9H66jV1wQlhZa0CqyxGV9YnH5mLMWnByGASE2E92i/Fvc5rpBCcxYto9HJ3QDvNnMF/WO4fb31zTOYeoGLNhexKWv/EqF22shLWg7DMNrJ2uTJSYNiONfV/bmqUt7UFzjZGNeFRnRAcy6azgj0sLoEhlAXkV9474Wk8JpspIXHCMej875PaIbc6SOZERaGLkVDTw7qQ/Rgd4B0+b8KnYW1vDaoj28sSSrmQAAuGpAHNbTeLNFdcBR6EhZqyeCJIFHValyuMksqiU+xIbNrFBU7SA60MoFL/3SZPtpN/Tnme93kF/ZwLj0SK4eGM+jn25oYiusyBKv3NCfQXGB7S7p7Gy5n7IsUWPAlHdWkVt+6FoUWeLvl/dkUFIIxTVOFFmi3qXh9Oi8+GMmu1poFDWhexT/uLQ7cju7X63Rke+lS1X459ztfLelsMlyP7PCO1MHsymvkn9+t6Nx+Ws3DWBoXCBaB7o/x0NHvZeKIlHuNnh09kY2HWgjrcgSF/eO5smJ3Zm2cBfb99dw1zmpWE0KVQ1u0qP8qah3c/M7q5o1eIvwtzDn3uFYT2Fbb+ETIGgVjywze20ec9bn8eykvvzl662NX+aZtw9p1jcgyGZqbIrx885iZNlrdLFqXzl7S+uIC7YxaUA89g5adtZR0HWDAFli1h1DyS5vYG12BWH+ZnrHB/PD1kKem7+TqwcmkFtRz+zVubx4fb8WBQDATzuK+Msl3bGcxmvorCiKzLaC6mYCALwJm498sqFJ34c+8UEMTApBc4rkwPaGphmEqBKv39Afp27Q4NYItpvRdAND13lwbBfq3BqfrsmlwaUxoks4+RUNLNlVwnu3DuadpXv5dXcZVpPMVf3juH1UCnaM09rVW4iAToyqyizLruQ/P2by5pSB/O6zjewrOxSC/GFrEZf2jW0yJSAfETL+aXsxC3cUMyQ5lOggKxtyKrh2YDzSKVSyAt/ouoEZg65hNtyazn9+zOSPX25pnEtesL2YW0Ykc2m/WMp8hB2bHOuAA6Sg7XEZ8MaSrBbXF1Q5sJtVEkPtXDsonmsHJRBsVakSIqBdousGkirz09Yi+iYE8/m6vXyxPp/qBjf9E4P57QXp3DYyBe2AS+uafRVYVYVwPzP/uqIXhmFgABZJwvBop1UAgBABnZp6HV78MZP4EBsOt9ZEAAB8tjaPd6YOZmdhDZsPNMvYW1pHz1ivW9ZBDANWHphnPq97FBYxd3laadDhtvfXNAst8v/snXd4FWXah+8pp6d30iCN0FvovYhiRQW7IIoFFburbvFbt7jquta1YEUFFUEUGypWRHoLEGpICOm9t1Nm5vvjwIFDTgK6lITMfV1eXsz7zpyZzDkzz/uU3wO8uyaH924aSqPdRWywxdMr4FiGJYToHQRPEy5Na7O8E9ylYi9dO4DEMCtGUS+zbW9IskSjquFQVGRJZO3+cvrEBvLIJ9vJKmvwzNuYU8WVr63j71N7U1LTTKifiaQIG7emJCIpCk2qRlmDgyaHQkyQBZMknvaQnG4EdGIUDXIqGhmfGk76MRUAAE1OhTve38w/pvbBZBD5YXcpZXXNPHZJb659Yx3OY7LJbUaJR6akIqraWbuqlGSRJtXttpUkAYskYhY4Y7FaWRZZtbfcpwFglETO7xuF1SgRajPy32sG8tDH21uEBUQB/nR+Dwza6XVDdlaMokCvLv7kVja2OsffLGOUJAQFPX27naHIEou2FPDmrweoaXIiiwL3TEqmrtnlZQAczdPf7OWj20bw4JJtNDpc3D4ukRA/Ew8v3UFlg9tLJx1KGL1/UgrSaSwF1Y2AToYsizSooGgaoii4S8gcCv7mlq0swd0ac+6HW7ltXCI9uviz8UAVhdVNvHPjUN74JZtfMssQBYHz+0Rx3zkpBErCWdtVUJEkvtxVwgs/ZFLd6HbNdo/048nL+xLvb0I7A4ZAa5oB0YFmnrtqAMszirnp3Y3UNrnoGxPIHy/owf7Sev51KOksJcKPf17ah8gAE/VOFbuiYTVIWERB7yVwihBVjTvGJ/PNzhKf44Pigwn1M2KQRBobHZ6kOZ0zjyKJPP3dPpZuKfBsc6kaNpOBjzbmtbpfnd3FwcoG8qsbMUkSXYKszJq/wUvMS1E1Fm/KRxZF7hufeNpyqnQjoBNx2IJ9e/UBqhqd3DiyK9PTYlm0MZf7J3fnxR8zW5UnHZ4Qyr0fpVNzSLnsl8xyrhkazz8u7YOIhkEAUVHPWgNAlEU+3VHkeXkeZl9JPVe/vp4v7xpFiCyedtEdRVEZ3C24xfanr+jPHz/ZQXb5kZXJjoIabnpnE/+Y2psf7x9HvcOFqmlEB5q5e1E667LdIR2bUeKGkd2YOSz+tK5IOguaphFlM/DvaX3587IML49ajyh/np7ej7VZFZyT2lJhTufM0ujSvAyAwxgkkebj/FaaHAoGUeSKwbG8uzanVTXPJZvzuH1cIm2rsJw8dEdTJ8EpiTzyaQbPfLePqkOr2ECrkWuGxhEbbGXFrhJuH5fkc99pg2LYX1bvMQAASuvsvLc2B0HTMCoqgks9q/XNmzV48Yf9PsccisrzP2SinoFCblXVSAqzEX2UcNPIpFC25FZ5GQBH86/leyiqbWb1/nIi/M1MeeFXjwEA7lDHKz9n8cz3maiS/og4FSgIVNTbWTh7GH+9uBf3nZPCGzMHM2dcErmVDZzbMxxJr65pV8iyyPoDvoWBmp0K41LCW91XEgVigi1UNjroEeXP5oNVrc51KhoVDW0n8p5MdE9AJ0AQBErrHfy8r8yzzSiJDE8M5Zb3NvPUtH5kFNYQ6W/k87mjUFSNBoeC1SAhCHCgooGHlmxvcdzrh3fFZhBx2c/+h1VNs4t6u+9GS+ButuSY0uOMlNhZgIWzhzH7vU0cKG9gQo8IPvWxWjlMk1OhvN7OgnUHOadnpCcmeSwfb8nnzvFJ2E7ReXdWJElkS2ENT327D4DUSH+sRol31uRQ1ejE3yTzzT2jjysbazBICIKAoqhnrX5Ae0GU3W27e0UHsmD2UBodCu+syWFtVgV3TUzGapKYOjCaJZvzfUoJXz4whp/2lKJp0ORU8TfLnpCiL06naqBuBHQCDAaJZekHvbb1iw1kfXYFBdVNXP/Weib3iuTBc7vz/PeZns5mggATUyOYOzGZCH8ThTVHYs8jEkMZlhBKg1PtFLXl0nHU9IytKCeeDhRFJUgWWHjjEMobHCDAog2txycBHC4VRdXIrWykV3QAu46q9jiMpkFGYS0j4wJQdEnhk4YDmL8mx/PvvSV1XuN1dhcHKhrpG+WH04fhqYkCzZrAVztLyKtsZGB8EANig7AIp6/zXGdCkUS+3VPG0yv2ebyhkQEmHjw3lfHdwwn1M/Lgku1uieDrB/H48t3sK3En35pkkauHxjMyKZS5H2wB4JsMd1fBl3707VmMDbbgZ5L0nACdk4cguFf+R2OQRa8WwFP7R3PfR9vYVeRd+vfDnlIOlDcw/8YhvPJzFgZJ5JyekTQ4XDy8dBsf3Tz8tF3HmcTPKBEZYKKk1ndp16X9ozGLAtoZegYrioZREgjzN9JgV5jYM5ysMt/iQKIA8aFWyursVNTbefyyPlz/xnqfbYmNknBWh3nOBIqqeYXWfJFf3UR5g520+BD8NM2jz6GJImtyq3hgyfYjFSGr3SJeH94yjEizhKobbCcNSRZZmVXJXz7b6bW9pNbOHz7ezoKbhvLW6gMA/Lq/nJLaZmaPSaBriA2nomIzSQRYDFzwwipP7sfKfaXcMjaBFTuLPcbCYQySwLNX9McCnK5sHD3gdxajSiJNokh6UR3jUsNZOHsYF/XrAsCeolrSDiWUdQk0IwiClwFwNNnlDewqrCU60Iyiavz18wweWLyNsd3DMXeSEmaLCI9f2gdfDoFQm5HZoxPQzmASnSKJLMsoZuIzv3DRf1dzXq8o/E2+bfxpg2JZubcMDegaZmPh2oNcPii2xTyDJNCzS8BZm+x5pjBLAsMSQtucExds5ZGlO5j26hrya5o937tal8p9i7e1KAmtaXJyw9sbadZ0sYeTSZMK//52b6vjT6/Yy/jUCM+/M0vreWTpDq55Yx0z397AtFfXYpZFnrtygKedtKrBfR+l8/T0/vzlwp4kR/gRHWhm6oBovrp7DAlB5tMa3tE9AWcpiiwx75dsFqzP9TwwbEaJ+yZ3p2eUP+sPVGKSREYkhuJnllmX3XonLHBXAwB8utUda/Yzydw2NgnN1Tncj4pLpV+kPx/fNoInv9nDxpwqTLLI1AHRzB2fjE3QTpvlfiyyLLIhr8ZLa/6pb/bw6ow0nvp6j0foyWKQuHpoHMMS3K7JS/pHs2Z/BV9uL+KNmYNZsM47ZHTfOd114adTgOpSuWFEVz5Yn4vDx8N+RGIo+0rqaHaqNDvtPLhkO69eNxCTQWLByuxWPTNl9XayKxrpFWrRDbeTRJNLbVPYaXt+DQ+em9rmMTQVhscFsvzu0RRUN5Nf1URsiIXvd5ewI7+GGcO7YjKI1Dc5CTCIp11uXTcCzkJEWeS9jXm8s9b7od7gUPjnV7t558YhSJLI6qxyHr2oF00Ol08d86MxyiKNdheCAKOTQnn0ol74iaB1ogoyQVXp5m/kxSv6owjudrAmQQBFQTmDf4dGFZ5Zsc9r28acKv7y6Q7uP7c7PaICqKh34FJVvthWxINL0rl6aDzjuodx5/tbcSjuRCU/k0y93UVSuB/3T04hLTYQQY8xnxL8JYEFs4cy98OtlB31khmTEsadE5K5bcFmz7b0vGoanSqiJLRwHx/L/tI6+oRbdSPgJCEdp+JnQFwQUYFmnpzWl5zyBj7enO/VGXBUUihG8Ug76d5d/BEFmLNwMxUN7pDQz/vKGJ4YwjNX9EdW1NMutKZ3ETwOHbG7lV0SOe/5VT5jvOBOCrxsYAx/+2IXAFcMiuGmMYmc/8Iqn/MBlt0xkgg/Ey5VwyjiVpfrgA+ajng/j0eTIDL2Pz+3Ot411MprM9KoanDiVFREQWD5jiKWbM7DqWj4m2S+vmc0HOofIAJW0d0qtT3T0e+lKIk0ASV1dnIqGokOtLA9v5qXf95PbZN3QuDnc0cR42/iqe/2sXhTvu8DAvNnDaZfuK3D/Tbb6710SiK3vb/V4007jMUg8cyV/altcvL++lwq6u30ig7g+uFd+WVfGW+vzsFqlPj09pGEGUXP/QgMtKBoGpX1DgpqmqludJAQZsPPIGHQtFOiM6J3EexkiKJAnV1p1QAAtwvrgUN95gGWbCngsrRYpvaP5rNthS3mT+4VSWZpPaIgEGMzoCqqLi/bjhAFWnR7PJqDFY24FI1r3ljnc3zGiK4tMsvb+fv/rEBTVaqbFfIrG/k8vYDV+ytw+Xh5C4e8Ts2qxiX9o1s1AgItBpIj/FHPpFvqLMOMOxfoitfWev2+nri8L4s25HrCpOBu/PT97lL+fklv/npxL8alhBMo0yJRUxIEjKpKYoARIdDkNhDU0+8BOIyeGHiW4RAEGo4pKzrWCPQzyS1ikQ8s3sYdE5L54/k9iA+xAm7p2QfO7c4Dk7vzwfpcZry9gZYCtTpnGrMocOmA6FbHRya5k9DO6x3ZYmxyzwhmDotH1d/6px1BlmhwKgiiwKUDYjwGwNCEEP5zRT/eu2koz181gDvGJfHT3jJ2FdWyu7iWP5zXMgZtNUo8e2V/hI7lAGj3KIpKF6vMl3eN5sK+XTAbRHpHB2CQBC8D4Gj+9fVuJveMIEDU2qzU0DTahcdG9wScZTQrGhmFtYxJCWNUchgD44NotCtYTRJbD1bz1q8HOK9PFMt3eOcAFNU0U1LbzA97Srl7UjIR/mYqGhx8vDmPbXnVDIgPYmteNRmFtQyJDtDFSdoTisLcCcn8ut+t+3A0QVYDd09K4Y73t3DDyK7cPi6JtdkVaJrGhNQIgsyyLg18BtAkgUYVXvg+kzVZFfztkt7MHt2NfrFBlNXZ+e+P+zlY0UiXQDM3j04gKcKPN1dlMz41gsoGO4tuHc53u0oorW0mNSqAIQnBLFx7kId9GAg6/yOqRrAk8NfzU/nj+T1ocrpzq1qj2amyu6iOQVF+p11G/PegGwFnGc1OhW8yivjXZX3506c7ePLrIxnjIxJDmTcjDVGEq1/zdg0HWGSanQobDlSy4UCl19jkXpEenevdRXUMiw08o4lwOt5oGlgFjSW3DeeT9AK+3FaES9UYnxrOeb2j+PsXu8itbOQfX+5m+qAYHrugBy6XisulnJGmR50dSRbJqraTV9XImix3Vc5jX+zknVlD+GpHkZe7v6immX98tZuxKWFcNTiOLkEW/vnVWhauO8i47uEEWgysyizjme/28sRlfbBJeijnVKBpGoKioQkCP+0tpa65bZ2H6iYngiBAB+inqocDzjJsJplbxiRy4zsbvfTgAdZmV/DA4nRqm1wt4sdXpMXxWXrLfACAc3tFsnq/2/WVENbxko46A6qqYUFjQEwQ09NiuXZoPIXVTVzz+jqvpKbkCD9cLhWnU9FFgM4QjSqk51fz4YZczzaLQUKWxFbj/b9klhNsMxIfbGbuhCQUVWPFrhKWbM5nS24Vd09MZnxyOC6nbgGcSgQgq7SegfEtm3YdTZ/oAFS1Y9wL3RNwlmGTBBodCgcrfPcqz6lopLzeTrdQKzmH5gztFsylA6K5/NU1Leb3jg4g0GJgf2k9FoNEWtcgPRTQTnG5VLqFWblt4eZW1P9ELujTBacPbfMTQRAEBKF9xDE7Mg0OBQG8tOPTugazKrOs9Z2Az9IL+eP5qdwwJI6rBseRWVqPgNuwMwkg6O65U45FEvEzGTivdxQfrM/12SdgSLdggi2GMyoe9lvQPQFnGQZRYM1+3wkrh9mcU8mMEV25dEA0H948jOev7E90oJk/nt+TcH93JwCbUeKG4V155or+2Ewy7900lC/mjkIWhDbLTXTOLBY0Fswehs3oLeVokkXmzxpMgFHEIYrUqFDh0rCLIuJx+h6IkoBDEsmutbOxsI5qRcMliYfcnTq/FYeiknnMalIWRRzH8ePbXSqLN+XjFARsIvSPsNEvwoZZVXU9h9OE6lKYNbIrb/2azSvXDSImyOI1PiY5jMcu6c0Pe0tRTmMToP8F3RNwlqFp4Gdu+7YGWAxcMyiGi/tE4VRBQ8MgiVw3NI5ze0agaBqCIGB3qXywPpdFG/M8Fu/wxBAev7QPwbKgN5Vph6iKRs8oP76/fxzrsyvYXVzHoPhAekUHUdvkZFtxHTajTHpeNS//tB+nonH7uESmDYzxShCUJJFm3BHNnMom5n6wxdOCGtzeo+evGoBRUTtE8lN7Ithi4Ltdxbx6fRqfbs3HqWjsLKzh6qFxvL06p9X9RiWH8eaqbPwtBhRFY1z3cKx6OcBpxyrAQ+elsnBdDn88vwd+Zpm6ZrfIVk2Tk2vfWE9Nk5MfepTy+CW9kdu5gaZ7As4ynE4Xlw+MaXPO1AExZFU2cffibYz690+Mf2Yl//f5Torr7FgAq6ZhFODln/Yzf02Ol8trXXYlV762jib9q9NukQSBUKuBcQnB3DG6G9FBVq55Yx0X/vdXbnh7I9PnreWH3aXMm5GG2SDy9Ip9fLQ5H0F2r1xUUWRvZRN3fZROfnUzs+Zv8DIAADbkVHH3onScujfgN2MS4LphXXlndQ4vXD2QMD8jpXV27E6FPjEBPvfpGmol3N9EZmk9Szbl0+Bwce7zv3Cgxo4o6b/F04mqqARJAnNGJ9InJgBZFDCIAl9sK2BZegEX9u3CLWMSSInwp9bhavceM/3bc5ahaRBskrlycMuGMABXD4lDBKa+vNqTOOhUNJalF3LxS79Sd6iFcNOhbb6oaHDw1Y4iJLljuLs6Ky6XSq1T5erX15Ff5V06uDa7gse/2s3DU3oAMG9lNs2qhiSLbC+u4+9f7eKcnpEsSy/wdD87lk0Hq6htQ5RKpxUUleuGxJEa5c+iDbk8cXk/Xp+RhiAKzLs+jQv7dfHI1QoCjOseztPT+/N/n2UAUN3oYOyhyoDbFm6mWXcGnBZEUcBkknCIIk0ICKLAj7tLWbI5n2A/I2aDxGUDYhiVHEpWWQMZhTWsyqzAIYlI7dhQ08MBZyGSqnL/pBRGJ4fx8k9Z5FU1Eh9i5c7xSaR1C+b6tzbgK7ertsnFf3/az5/P7c62Y8oEj+XrjGIu7hOlf4HaMZJBYtnmglbVI7fn1xDqZyLAIlPb5KK6yYVsMxBkNXLl4Di6hdr4YltRm5+xr6SOUfGBemjoNyK5FGakxTJ9YAx1dhcGWUQUBPaX1PHwealcP6wrTkXFKIusy65gzsLNVDa4Nen7xQbxw+4SXrxmILPmbyC3uomUQLMeljlFCJKIA7cGy/rd5cxfc4CyOjs9ogJ4+PxUIgLMzHhrA2/OHMy/v93Dltxqz76r91fw2i/ZLL51OAHtNJdKf4afpUguhTFdgxg8Mw0Vt8vHIkKFXSG7rAFJFJjYI4JL+kcTYJY5WNnIog15fLm9iD+c2x3jcSxXgyzSEWpgOzNOzd3jvC12F9XSNcTGjoIaDLLAntJ65izcTLNTZe7EZIKshjb3D7Ya9VLD34nqUjABJoP7tyaK0C/CDwfw+i9Z/LS3ZbWAJApcMzSeW9/bREF1M1MHxFBWZyc12Kxrd5wCVElkQ141qgZLN+d7qQSuP1CB3aVy70fpTOgRwbrsCi8D4DBldXb++MkOnrui32k88xOn/foodP5nXC4Vg6piUt3/d7lUVE0jyGrgnRuHkBLhx9+/2MWsdzby4YZcZo3qxkNTUnGpGn1jApHbsFyvHhyHuZ1atjrgUjUqm52eHuat4W+WaXIqdAk0IwoCt7y3ieZDteZf7yji8kGt55cEmGW6hekd604WqqqhKCqyqvL4pX0Y3z3MazzIauCZK/qzeFMedXYXn6cXMqV3FEkdsGFQR0CWRRoUjcLqJsL9TKzO8m63PiwhhE0HKnGpGlP7R7OkjcZO6w5UYm+n3jLdE9DJsBplnrmiP8+s2Ed6XrVn++6iOh76eDt3TUhGEgQkTeOeSSk8892+FsfoHunH8MQQXB2kDrYzUt3sYtPBKqYPjuO73aU+5xglke6R/mSV1bNw9lA+2eId/88qa0AWRSakRvDTXu9jSKLA81cNwIzuDzrZaBoYFYW/T+1DZYOT4tomBAQMssjbvx7weHeanAoWg0Sw2YDWQYRpOgouSWRfRRPvrMmhrtlJvV3hw1uG88IP+yioaqJ3dAD3Tu7OW6sOAG5juqze3uYxm9uplKNuBHQiBEHApag02F1eBsDRvLIyiysGx1LvUrlkQDSJ4Tae/S6TrLJ6/E0y1w2LZ+aIrphUvZNge0UQYEtOFcnh/hRUNzKxRwQ/7mlpCDx8fiobD1Ty1g1DqG1ysa+0rsWcRz7ZzlPT+jGlTxSfbMmnssHBwPggbhmdSJBR1GWHTxGq4HbSbi+oxu5U6RMTwO6iOrbkVnnmhPuZiA4yY0LTf4snEZck8dhXu/h2Z4ln29bcavxMMn+9uDdbc6sIshppsLuYkBrBoo151DQ76R7px74S323qjZKIxdg+E6l1I6ATIcsimYW1fLzZ222VEuFHapQ/jQ6FtVkV/Ly3jIXrD7KvpJ4RiaE8Na0vkQFmBE3DIgqoLkV/6LRrBJpcCmuzy3ltZTb/uaI/E3tEsGRTHuX1DnpE+XP7+CQCLTLVTU4kQaRRFogNsrY4UrNT5Z5F6aRE+PHktL5EB7jDBi5FxaWBSdL1Ik42iiTy2Y5inv52r1dr4XHdw5l3fRq3LnCHbG4dl0iALOB06L/Gk4Usi6zPrfYyAEyyyKvXp7F4Ux5PHNWLxSSL/PH8Hjx4XnfK6uzcMiaRP3y83edxL+7fhcKqJqIDTO0uh0Y3AjoZBkn0uKWSI/x49MKeFNY0szW3mqhAMzePSUBRNE9i4NrsCqbPW8sjU3pwRf8oVD0E0O7RNI2EMBtZZfXYXSp3fbiV3tEBXNw/mkCLgbzKRm5/fwuPTOlBTZODp77ZiyQKvHnDYN5dm+PzmIXVTXQJMLOjsJZXfs6ioKqJrqFW7pqYTGq4H9IxWWmHVSX1WPWJI8sSLgF2F9d7vWwOs3JfGSE2I9cP70pNk5OL+0bh1Es0TypNKry+Kttr29VD4/l2ZzHfZHh3XrW7VB77YhfzZw1hf2kdfiaZ2aMTmL/6gFf11ejkMC4dGMOBigYGdw06DVfx2zilRkBDQwPPPfcc33zzDbW1tSQnJ3PnnXcyadKk4+6bm5vLk08+yfr161FVlcGDB/Pwww+TnJx8Kk/5rMbpVEgMszEqKZSimiYev6wPd3+4lZLaI7GsN1cdYM64RK4YHEfG5zs921/+aT8X9YvCdCZOXOc3ExtsYWhCCPNWuh9oOwtr2VlY6xk/LD7zwJJtnm0/7SnjwXNT+c+KvV7HMkgCH98+gv/+uJ8PN+Z5tpfV27lh/kbuGJ/EzCFxSKoKkogdOFDeQJNDoXukP2ZJQNLDBq0iigJ2UeTnrAoMkshbvx5ode6X2wv59t6xfLm9iOJaO3E2Q6uGlt7r4bejahpldd6x/fN6RzLr7Y2t7vPCD5m8eM1AftlXhiDAh7cOZ1teDXaXwoC4ILLLGpizYDPv3jSU4lo7kf7t6yl6So2AuXPnsmvXLh588EFiY2P59NNPmTt3LvPmzWPcuHGt7ldRUcG1115LaGgoTz31FJIk8eqrr3L99dezbNkyoqKiTuVpn9UYgHN6RhIXYuX/lu30MgAOM29lNv+9ZiDxIVZyK91NhursLuqaXZ5yJp32TbDZQEKoH2ldg9l8sKrF+OzRCfz3x0x6dQng2mHxxIdYsbtU6pqcfHDzMJbvKKKwppm+MYFMGxRNXbPiZQAczSs/ZzFtUAw2WeSXrAr++vkuj8qkIMAl/aL545RUL1linSPYRZFZ72xkX0k9b88awu6i2lbnOhWN/Komnv1uH2uyynluej/kY1IzhUOGWH51M3VNThLD/bBIAgZNbXeu6PaCIAioooAoCPTs4k9RTbNnzKVoONowYncU1JBVWk9qlD/zVmYxf3UOPaL8kUWBeT9n0eBQmNwrkq151by16gDL7hxJe8oOOGVGwMqVK1mzZg0vvfQSkydPBmD48OHk5eXx5JNPtmkEvPXWW9TW1rJ06VIiIyMBGDBgAJMmTeLVV1/lb3/726k67bMKQQAkEafqbizEofKjCD8jghDA3pKWiWCH+WBDLtMGxfDc95mebW2VDOq0LwQBAmX47zUD+c+3e/lieyFOxa0GOS4lnHHdw2l0KIT7m3hzVTa7i+qwGSUuGxjD1IHRiAI8emFPgg0ioijw1q85bX7e1xnFTOoRwUNLd3ht1zT4bFsh/maZe8Yn6s3uj0GUJRasO+hJKKtpchLmZ6K4trnVfYyHGj6tP1DZIjdHkwS2Fddx/5Jt1Da5PNsn9Yzgn5f0xqDoLaSPRZAEqpwaTy/fw/b8ah6/rC8/7jmi0WA4jmZKiNVIvd3FY1/s5NkrB/Dmqmy+312Cqrkbsc0a2Y2x3cO5feFm7C6VNVkVTEgIxtVOfgunbFn33Xff4e/v7+X6FwSByy67jOzsbPbv39/qvt9//z0jR470GAAAwcHBTJgwge++++5UnfJJ50xqRquiSLlT498/7OeORen8/Zs9FDS6UCQRwalQXtf6QwYgr7KRcH+z59+xwRasHaQrlo4bxaVicLr403nd+fGBcay4dww/Pziepy7vi0kSUFWNBxZvY3eR2xhscCgsXJ/LQx/v4Lw+XVA1DafT/dI4tnfAsVQ3Ovl8m2+ZaYDFm/Kxt49nXruiWdV4f32u599fbCvkilYkvwH6xwayp9h9v4yS6FWfKQhQ2axw64LNXgYAwA+7S/nrF7twibon72hEUaDCoXLJS6tZsauE4lo7G3Mq+cuFPT15UftL6+kd7bunA8C0tBi+3F5IQVUTmSV13D0pmYU3D+O9m4byynWDqLe7uG3BJuyHXvpf7SjC3Uy6fXDKPAGZmZkkJycjHvOlS01NBWDfvn0+4/vNzc3k5uYyZcqUFmOpqal8+eWXVFRUEBoa+rvOSxAgMNBy/ImHkA/p4/+WfWrsLmqbXJTUNBPubyLQYiDoOKItJ5Nml8KKXaU8eFSm6ta8aj7fVsRD56VyzZA4oo5zPXHBVsoOGQqSKPD09H6eNsMdmd9zP9sbh23L1lZ0vq7x2EdYeaOTF37IxBcHyhvYll9Nz8Fx+BklBAHO7RXZ5kt+XPdwHvtiZ6vjDkWl3qEQEdqyAuH30tHvZbNLxWF3Udt85IX9895SbhzVjYFxQWw9pow32GrgkfN78tBSdx7HZQNjCLQaPC+rZpfKyysyfEqCA3y3u4S/XNjzuL/9M8GZupcNDoV/fZbu1SRt3spspg2KYcHsoewvrcdqlPj39H5c8/o6r3sF0KtLAFMHxLB6fzk3jU5gXXYFP+4p41kf+iqHMcsiNosBSTSesus6muOtRU/Zm6m6uppu3bq12B4YGOgZ90VNTQ2apnnmHU1QUJBn399rBJxqiusc3PnBFnYU1Hi29Yjy59XrBhEbZD4trriaZoWHlvouVfn3t3s5t3ckQVa5zbrWa4fF8/z3+5iQGs4fzkslLrj9PTg6G3aXSq3dxdbcaqqbnAyMCyLC30Tg7zAwD1cOtMZX24u4YpB7RappMLhbMBH+JkrrWuaQdA21khhuo97uajF2NCZZX4UC1DS72FtSx1u/5jBtUAw9ovw9q3tVg7kfbOXf0/tR2eDgq+1FNDsVRiaHMjo5nH98uYu8yiZCbUbunJDsJe/d6FR85n8cRtMgv6qJqLPAmD9ZNDoVLyngwyzdUsDSLQWkRPjx1qzBvPZzFm/NGsKKnSWsySrHbJCYNiiWuBALz363j8LqJh5fvhuDKLJg9tA2P3PGiG6eBlHtgVO6PG3LHX48V/mpcqVrGtTUNB1/4iEOW6Ynso9TErn2zfUtOrbtKa7jytfXsez2kRhPscC3wSB54lGt8dHGPO4em8i86wZxzZvrWyQHzhmXSFp8EO/dOAQZkDWN5no7bQcQOga/5X62J1RR5Kesch79bKeXql//2EBeuXYQJlX1NJA53jWKooDd2fb30KmoOBwuauzuMIBREll0y3DuWrTVq8pgUHwQz181AD9J4PphXX0qTAKkRvpjkoST+nfviPfSJUv89YtdrNjlrkMvrWvm5jEJPLjkiNFe0+TktgWb6RHlz73npNA7OoBPtxRww9vrMUgiM4d35ZYxCdhQva5dFQWCrEYKa1r/pdqMcrv8e52pe6kIYpsLs8zSeg6WN/L+hjw+2pTP5F6RXNSvC05FI8zfyCs/ZbE2+4icsENR+SWznBtHdWP+6pwWxxudHEpimO20XmdoqF+b3oBTZgQEBQX5XO3X1LhXyL5W+oe3C4Lgc9/D2w57BNoTkiSQUdrQwgA4TFmdnS25VYzuGnRKE0IEAYqO8wUrrG5GUVWCZJFP5oxkR0ENP+0tI8zfyKUDYvA3iF6Z3Hoo98wiigL59Q4e+SSjxdi2/BoeWrqd/0zri3yCoj2qqpES4Y8o0KqxeF6vKKyyiKa6M8oFAQKNIi9dM5DKRgfFNXZC/YyU19upbnIiYGDaoBiWZxR5cgwOYzNKPHNFP8xAZ64PkCSRjXnVHgMA3KWbFfUO7pmUwqs/Z3my0AXB7WoeEBNIiM3IzBFduXygu4+DWQTNpbb4W1pEgRtHduMPrXgBI/xNhNoMoEsMe5AF6BcbyPb8Gp/j8SFWKg51b3SpGl9nFPP1Ib2A6EAzf7qwp5cRAPDqz/v59t6xpMUH8+KPmewvrScqwMzs0Qlc0j+aQLPsMa7bA6fMCEhOTmbFihWoquqVF7Bvn3ul0L17d5/7mc1m4uLiPPOOZt++fYSEhLTLUIAkSfyyr2XXr6P5cU8Z4xJDTqkRoCgaafHBQOu1xsMSQkADRVExAkNjAjinZwSaBtXVjaDXdLcrXILAiz/6jt8DrM6qoFnR8PsNxzSLcM3QeK+ktMMEWGSuGBLL9uJ66uwuUiL9sDtVXKrKla+tQwOsBokGhwtVc7v537phCF2CTLw9czC/7q/g/Q25NDkUJvYI55qh8dgE9/etM2PX4I1VLX+XT3y9h6uHxLFg9lCqG504FZXe0QFYJMFjjFsNEs5G98tIa+XP6HKpjE4OZWi3YDbkeIcFjJLIC1cPwCLoRv3RmAX4ywU9ueqNdT49AndNTGbBuoNe2wySQGKYHxoageaWXTajgyxYDSKj4gMZNHMwmgBoYJXAdhpzw06UU3ZGkydP5uOPP+bHH3/knHPO8WxftmwZCQkJbYr+nHPOObz//vuUlZURHh4OuL0AP/30ExdeeOGpOuX/CU3TCLG1negRYjOc8pwARVHpEx1AmJ+R8npHi3GbUWJij3CcR7mDFUXVBUXaMU5Va7G6PpbimmZSgo5IkmqAQxSpdyiomoa/WcYiCB7FR1FRuWt8EsFWA/NX59BwSHluUHwwf5/amwcXb/N6kUzqEcGc8UkYJJEmp0LdUfF/u0vl5Z/2c9nAaMYkhTI5JZTRSSGoqoZZElBdep8JAEXTKG/w3WRm0cY8Fm3M46Nbh5ESZHEbTL9DjtmgKLxw1QA25FTxzpocapudDEsI4ebRCfjLImonN8SORVFUugaaeXfWUB79PIODFW5dlOhAM3+5qBc78ms8eRayKHDnhGRGJoeyI78GQYAuQRbunJDMvJVZKKpGry4BvHLdQCxouFwaR5sI7aQisAWnzAgYN24cw4YN489//jPV1dXExsaybNkyNm/ezCuvvOKZN2PGDDZs2MDevUdUymbPns3nn3/Orbfeyp133oksy7z66qvIssycOXNO1Sn/TzidChf0iWo1JgpwRVosTmfbyVMnAwsaH9w8jBvf2URB9ZHQQKjNyNs3DMaC79VAvUPBLggYRAFZ03TDoJ0gCgLh/m3XjgdZjxiYTU6FjQer+fOyHZ58jwCLzP3ndGdKzwiPep/kUrhxaDxXD46j0aFgkEUUVWPWOxtbhLV+2FOKxShx0+gEXv6pZXnv2uwK7piQRLOikVXeiEvVSAq3oWi0o2KoM4tRFOjdJZC8ytbDdWE20//kMdE0kF0KY7sFMTR+AIrmNsQ0l6p7+FpBVFX6Rlj54KahNLncuTVWg4TFIPLp1gL3HAGev3oAP+8t4+rXj3gN/insZsawrnx771gURcXfKGFC61D9NE6ZESAIAq+88grPPvsszz33nEc2+KWXXmLixIlt7hsWFsb777/PU089xUMPPYSmaaSlpbFw4UKio6NP1Sn/z9hkkbkTknjpp6wWYzeM6EqQWT4tXdcURSPMKLH4lmEU1jaTXdZAXIiVriEWzNBiNaBIEmsPVPLKz1kU1jSRFO7H3AnJxAaYdLnXdoBFhFvGJHD3onSf4/EhVgJMMqgqkiSQWdbALQs2eXmdaptcPPbFLgySyPmp4SiHPAKqS8EEmGQBRRJ48LOMVvNalu8o4sNbh/PGL9nEBFtwKqrXXE2DvKomZr69AXCvnG4c1Y3ZI7vpaoGAqGrMnZDEt7uKfXoEhyeGYJXFkxKzd7lUd1IvoLk6zgvpTOFyuUOjRhFAAFXFocCtYxL5NbOcsd3D2VdS16L5mqbBe+sO0i3MxmW9I3F1wOZqgqZ1Lv0oVdWoqPBdFueL35q1qkgiWRWNvPRTFgfKG4gNtnDnhCR6RvidkReqIAiIooB21Mr+8L81DVyiyMu/ZLPQR2z4T+f3YGqfKMSzKJGoI2aUw+Gs8p2s2OXdEtjPJLPolmFEWw0oiopLErnjw/QWNeaHCfMz8tntIzH6uKd2UeSCl35tITRzGLNBZOmckdTZXewtrsNskOgaamXJpjwyS+u5dmg8wTYjty3Y7LXfw1NSuWpANMpxKhJ+Kx3xXqqSyLqD1Ty0dLtXieaA2EBePqbK4zAd8Tp/K+3tGkVRYE9lEy/9nMXdE1MQBLh94eZWRbPC/U18OmcEpuM8K8/EdYaG+nkaevmi/WUpdHAkRaVHiIXnpvXFpWlIgoDpDCZFaZrbNSWKAk5JpM6ukFvZQJifiagAIxUNTp8GAMAT3+zhvN6RnDx5F53fi+xSeOyiXswa0Y35a3KobXYxJiWMqQOisXLk+6VotGoAAJTXO2hwKhglHw8FTSPEavRpBJhkkXnXp/Hyz/tZvqPYa/u956Qwa2Q3sssaWO2j5nreymwu7ttFbz6FOxdjRNdAfrh/HBkFNdQ0OekTE0CwxYDRhwGgc3KQJAEQTvg5LMsiv+4vZ21WBftL63nrhsFtqmaW1dlxKhqmDhj70o2AU4Cqakho7iYRmnbGy6JEUaARgbs+TCf9qBfEzBHxONtwFWoa/LCnjMv7RHolEnYERFFAEQWcioZBFJDOghwHg6KSGmLhX5f0QlHdMWblGPejILizl51txCRb6wFhkwRmjezGY1/sajF27bB4vtpe5GUAgDsp8Klv9tLzxgD8TDI9ugTw3FUDePjj7Z5yt5omJ01OFZOuOg2AoGiYUBga4w8IqKqKpqh07G9n+0STROwaZBTU4FQ0+sUEYpEExOMYA5oGwVZ3ondZnR2jJCKLAq5WniEmWcQgtVFz247RJbw6AXZB4Ob3NnsZAAAuBSqPowlf2dCywqC9o0giB+sc/OWLXcx6bzN/+XIXOXUOlOM0AukIqKoGLhVJVT1x/aMxAhf27dLq/r26BGA+SrlPkkRcoohdcD8sL+gTxaD4oBb7ndc7imXpBa0e98UfMsmuaOBPn+7gu13F/N/FvbzPS+6AS6RTjKJoKIre2e9UoUgiH24pYMIzK7n9/a3cvSidCc+u5Jkf96PIbVukTqe78x+AxSDib5aZ0rv17rUX9uvi9bvqSOiegLMcQRAorXf47Bi4r6SOc3pF8u3OYh97uhmRGNKh6rtVUWRpeiFPrzhSpZFZWu/upXBud64fGo/VePYuSQVV5f7J3Vm5r6yF+9Iki/zrsj4e0R6XJJFeVMurK7MprG4iKdzG3AnJvHTNQLbkVvPeuoM02F2MSAzFzyS36V3YUVDDnRPcZb/LdxRz2cAYwv1NlNXZGZEYikkUflfJm47O70GWRdbkVPPc95nYjBJXDYyhZ5cA7C6F73aVsHBDLjOGxWPUtFZ1WyyiwH3npJBX1cjXGcXMHNmN9PzqFomzXUOtzBmXhMOl0FI1oP2jGwFnOZIktPAAHGbTwSoeODeVIKuBah8ega6hVhJCbainWOr4ZFKvqF4GwNH8Z8U+LuzX5aw2AjQNIv2NfDF3NPNWZvH5NncL4Qk9wrl3UgrBBtGTQPj8j5l8tOlItnNxbTOrsyp48NzuXDkwhsFxgWgaKIJAdVPbHqNgq5G6o5qrfLGtiIk9Ivh2ZzH/mNobg6Z1uKxpnY5LowrPfb+Pyb0iuXlMAos35vHaL1n4mWQu7hdN39hADlY1sa+4jnN6RCArCpIk0qi6dTkkUcAkwtVpMTS6NK58bR0Wo8RT0/qRUVDDj3tKEQSY1DOSnlH+OJwqoixDBwzq6EbAWY6m0aaI0RNf7+atGwbzwOJt5BwSygDoExPAK9cMwqR1HKEXo1Hiiw35bc75dGsBd41vXajqbEAQBCL8jNw7PpE5YxMBMAruEjVN1RAEgfIGp5cBcDTPfLePi/p2wYaGwSDx0bYi/EwyvboEsKuo1uc+1w/vSojNiM0o0eBQqLe7uLBvF+6akIQFDVX3AuicRhQNAiwGrhwcy4w3N+BQVGKDLaRE+LO7qJZf95fzr8v6ctXr6/h6ZzH/mdaPNQer+M+KfeRWNiKJAuf2iuThKamYJJGyerfexnVvrmdoQgjDEkLQgG8yinn8q918MXc0RqFjymLrRsBZjqKoDIwLwiiJnkSto9meX4NBEvno1uFUNjoprWmmS5AZP4Nb9KIjJdMJgtCmoA5ASY39uK01zxY0l+qVkX/4TsoGiQ9+yW59P80tDjStbxSaphFkMTDvl2z+MbUPd7y/uUU71d7RAaR1DeaVn/bz6vVp3PzuJsZ3D2d4fCAOu6vDGJE6Zw+iALeNTeRvX+zC3yzz96l9UFR3cx9REJjZL5qqRgfn9YrEbJD5KqOYf36127O/cqhPwIYDlSyeM4L4YAu5h8IAGw5UsuFApWeuQRIItMgdKmx6NLoR0AkwofHUtL7cv2RbiySkywdGE241EGxx/xduEN1lSmrH8QAc5rB2+qKNea3OGZMS1unLsDRBaLPcCaDqkE69y6UyIimUPy3L4Lnv9/HBLcNZvqOIXzLLMMsSF/WPJj7Eyt0fbqWiwUFKpD/T02KY2CMcx3FaC+vonCosokCXQAtVDQ7emjWEf3y5y6v75eJNeQxPDOEfU/tQVmfn5vc2+TxORYODD9fn8qcLezJn4Rafcy7qF425Ay8sdCOgEyCoGiO7BfPV3NG8sjKLXYW1RASYuG1sIj0i/JCPsmA78gvS7fUIJtRm9HT+OppQm5HB3YI7bTa2KAk0aALfpRcwuGsw32S0nhA6MinMs7IxA49e2JPHvthFaW0zhdVNXNCnC05V45Mt+V4d2D7enM+Xd412hwBO9QXp6LSC6lIQBJg+OI6PNuaxs7CWuBCLO2HVz0xxbTOfbMnn64wi+sYE0eho3ZH/7a5ipg6I5qJ+Xfhye5HX2IDYQB46LxXR5eqA2QBudCOgkyAqKhEmib9OScWuasiigJGzr7ObBZVFtwxj9nubya08kuMQH2LlrZlphFg651deEARqFbjs1dVUNzr58JbhrRpLCWE2uoVYPPLSgqpyfs8I+sQEomqwLL2wxT4Wg8TUAdGkdQ0+9HkiHTNCqtMREWWRZsWd72KTBepc7oZuk3tGcPO7m/jrxb0I8zOxaGMu+VVNdAu18deLe1NS24TJ0HZpn6bBrqJa+sUGcdWQOH7NLMehqIxIDCXMz4RV0HB0VAsA3QjoVGiaBormjhMrZ17E6FSgKBqhRokPZw+lotFJQVUTMcEWQq0GLAJ01nY2qijw7+V7PFUg//xqFy9dO4hHP8tgf+kRGe2BcUG8ePUATMdk84uKSoK/kSZBwGqUvFZOwxJCePC8VJZsyuc/K/YiiyKXDojmmqHxWNG8DE1ZFmlQNBAEZAF31UAHyjvRaV8IkkCDCgvXHOSXfeVYjRLXDI2jS5CFouomEsP9uHNiMlllDfztKBGsgxWNrNxXxh3jkxjfPQKzQaTZ6XtBNLFHBGuzKlmWXoDNKJHWNRhJFPlyWxGLbxuOow0vQkdA7x1wHNqbpvWp4my8TkFwr4AP90mAs/M6j8XXNTaLIuOfWYly1As3IczG7eOTiA60UNlgp2eXAGyy2GZCqChLvPzrAd5enQNAXIiFJy7rx20LNnnaER8m3N/E0ttGYD1kTrgkiRW7S5m/JofKBgd9ogO4f3J3YgNMx1VwO9HrPBvpDNf5e65RkkQKGpxc+fo6mo5RNO0TE8BLVw9ElAQOVjQy460NrR5n1UMT+HJ7IU99s7fFWKDFwOLbhnPxf1e3SKz+8wU9uKR3JOJvMGL13gE6OqcRTevYOQ4nE1XTvAwAgAPlDTz08XYMkoDVKPPJnBEYjpMQqroUbh+XyIQeEYT7mzDJEhsPVBBkNdLg8H6wldXZefGn/Tw8KRknAvd8lM7GnCrP+OqsClZnreXp6f0Ynxisiwnp/CaagHs+Sm9hAABkFNSyYncJfWIC+WF3acudj+KTLflcNTiOYKuR57/PpLi2GUGAsSlh/N+FvQgwSSy+bTivrzrAwYoGEsJs3DomgQib8XcZr+0N3QhoR0iSSLMGmgBo7haySitqVjo6vwVZEEiJ8COztKUXzKloWAySW/b0OF3QVFEgq7SBfy3fze4itwrl8MQQnpzWlzdXHWDlvjKv+Z+nF3LvpBS251d7GQBH8+hnGXx/31hMHTa1SudM0ORUyS5vaHV8wbqDPHNF/+NKn5fVO3hlZRZzJyQxOikUh6IiiyImEWRNQ3UqxFoN/O2CVByKhlEUEFTttLSFPx10TLHjsxBFEtle2sCtH2xh9NM/c8kra3h3Uz4uWULoLIXtOqcMqwiPTOnR6vgD53bHehwhRUkS2VXWwLVvrvcYAADrsiu5+d1N3DYukXA/E4O7BnPH+CTuGJ9Er+gAVE3jvXUHWz1us1Nlb3F9my5LHZ1jaSujH6C6wYnZIDEyKbTNeQPiAlmVWU5eZRNmTcNfAIumIiqqJyymae6eHUZNA+Xs6vaoewLaAZoksHxXCX//8ohYRUWDgxd+2M+KXSW8NWMwhg4k3avT/nC5VPpE+fGf6f345/LdngRBf5PMfZNTGJMYgquVxKjDNGnwf5/v9Dlmd6m8ueoAC2YPZdX+cn7cXQoCXDYwBlEUCLUZuW5YPOf36YKqaRgkkW351by7Joeimmbq7a5Dxu7Z83DVOTWIooBTEAiytd3Zr29sIAZJpGuotdVKmOhAM0nhfhwob2BrXjWJfaJw+WjMdTajGwHtALsm8OTXLZNSAHYX1bHuQCUTEoNbbXSho3MiiIrKxKQQht85ippmF6qmEXyoakI9ge9Wk0slr7L1hKaf95Zyy5gEHj9KeW1tVgXvrsnh3ZuG8uav2cx+dyP2Q581NCGE568awGNf7KR3dMBZV66qc/LRRJH8BgdPfLOH/rFBXNQvutXulndNTKaqwcHjy3fz0rWD+POnO7zCB6mR/rx07UBkUeCKtFjC/Ixn1Qr/RNGNgDOMKArsKa7zKel7mA825DKiW7B+s3T+Z5RDUsIRxkORQOXkKUNq4LPTYHZ5Ay/+kIlJFj0GALjlV+/8YAtvzxqCzSCCbgTotIEsi+wqb2TG2xtQNdiaW83rM9JocipenVCtRom/XtyLYKuB0joHOwtr+cuyHcydmEyozUijU6FLoJncikZuencjFfUOpg6IZnC3ELTj5MScjejvlTOMIECzj+zWo7G79J7jOmcei0EkNtjSopXqYcamhLMl13fy3+fbCnl9RhoL1+d6bS+vd7DhQCWX9Y9CFKRO54rVOXEaVfjjpxkc9v7bXSq3LdzMXRNTuGlUN/Krm4j0N5EQasMigV3RsJkMBJhlssoauH/xNm4a1Y0Qm5F7F6V7GaQfbshjfXYlC2cPxaB2ru+gbgScYRRFo09MYJtzJveKxCyBokux65xBrAL830W9uHXB5hZjRknk1rGJ3PdRus997S4VQRCY0ieKaYNiMMnuLMQVu0r4aU8pZoOIURIZnRyG8ajEK1EU0EQRRdUwSALKcQxmnbOXRqfqpQIK7qTS99cdRBRgUHwwEf4mQENQQVZUjLLIny7oySOf7EAQ4LzeUVz35nqfeQTZ5Q2syizn3JSwTmWM6kZAO8AiCVzSP5rPt7WUYw2wyFw+MFovFdQ547hcKgNjAnhjZhpPfr2XrLJ6TLLILWMSuWxgNGuzK7xWV0cT7m8iMsBEUrgfD328napGJyZZ5KJ+XXhoSg/WZFXw1Dc76RHlz9s3DMbgUnBJInnVzbyzJoeqRicjk0K5dEA0VkFvTdwZUX24Q0ckhTJ3QjIv/bTfI/bTs4s/95/TnX5d/MGlMj45lNeuH8SCtQfJKqtvNZEQ4KNN+YxNCu1UL8bOdK3tFklR+dOUVIKsBj7amOd5kPaPDeTp6f2wgN6MRad94FQYGBvEoxf1JC7EAprAR5vyePSznUQHWXjh6gGk51Xz/PeZXrvdMiaBH3aX8PJP+z3b7C6VpVsK2JZfwz+m9gZgT3EdH23K45ohcTz1zV6vPgVrsyt4dWUWH9w8jDg/w+m5Xp12g80oEWw1eDpgBlhk7j0nhRvnu5NNbxjZjfP7RFHT5MQgi1Q7FCKsBrC7GB4XSJ/ofmxqJVx1GJfa+UKvuhHQTpBcCneNTeCW0Qk0OBRMsohJFNwSrnrClE57wuGiR4Q/W/OrmfvhVi8lwo8353P7uCTunpTMiz/sRxDgmqHxnNc7ivsWp3Ne7yhKa5vZmlft2Wd/aT0Hyhvo1SWAXUW1rN5fQb/YIJ+NihodCnMWbmHpbcPxPx3XqtNusIrwh3NT+dOyDACuSItjwdqD2F0qL1w9gPJ6OzsLakCATTlVbMmt4p9T+9Cviz8Oh4JJEukXE4gg0OqL/oI+UVgkAVcnCr3qYkHtCZeKWVUJlQX80NwSrnpzFZ12hqZpuDSVez9KbyFFDPDqyiwmpkbw7JX9+HjOSCZ0D6fZqXBBny5E+Bu5fFAM3947hmuGxnn2+W5XKcMTQwAY1z2cFTuL+c8V/Vg4exjv3TSUN2amMSE1AoDi2mbKj6MCp3P2obhUJqaG89jFvQjzMzIsIYQfdpcyZ1wiiWE2qhqcLNmcz6INecQEW3jp2kG88GMmJQ1Od26JomKVBK5Mi/N5/DA/Ixf1j/YZdjib0T0BOjo6vwlJEtl0sKrV+D/A4k15hPmb+DajmGlpcVzy0mqv+SZZ5PWZgxmTEsYd72/12jetazA9owN4YvkessrcMsfhfibmjE9kWGIIT369h/J6O+i+gE6HqqjkVzXxxOX9SAizYjNJTE+L5fo3N1BQfaRqJbO0nqWb83n1+jTe+jWbP56XioSGqKjcNymZiAAT81fnUG93L/lHJYdy96QU7l2UzqMX9SLWZug0HljdCNDR0flNiKJAQStlgocprGnGbJC4aUwiM9/a4DEAwv1MXDE4lt7RgVQ3OOgfF8QtYxLoGmrjww25RAWY8bcYmPn2Bq8ErrJ6O//4cjd/ubAnk3pGEBdiPaXXqHNmEQS3salpGspRSaBGSaS0zs4t723iplHdeGByd179OcvLADhMVaOT//6YyaikMBQNDqtiSy6F64fGM6RbMCBgkEQ2Hazkrg+2Ulpn5/o31/P1PaPdLdc7AboRoKOj85tQFPW4Za2pkf7IksCmnCMeg8sGxnD5oBjmr85hwdqDWIwS09JimTmiGwVVjewvree92UN5+ts9rWZwv/pzFi9eMxB/43EaHeh0SERRwC4IlDc42ZFfSYifgb4xQRhRERS3bv/NoxP4fFshH2/J5/M7R/PYF7taPd6arArumpiCJInYD7n5/Y0Sy3eX8sdPM3zuU2d3sT67kolJIZ1CpVU3Ajoosizi0NwJLiaRTvFl1WkfqKpGcriNCH8TpXX2FuNGSWR6Wizvr8+lpNY9PqRbMBN7RDBr/kZPHkGd3cWrP2fx5fZCPrxlOD8/OA5Ng18zy1v97IoGByE2IyX1dqxmAxZZT2s6m2hC4LaFW9hZWOvZZpJF/j29H2nxQdidKiE2A/+9egB/+3IXLlVrMyylaRBsNfL6qmxW7CpBEgUuGxDD5N6RJIX7ecJNx7I1r5pzUsLoDHVZ+i+ogyGKAk5J4ucDVdy3dAf3Ld3BN/vKcUgSkqR3YdM5PViA92cPJSrA7LXdZpSYf+MQQs0Sd45LJDXKHbe/cZS7p4CvRMK8yiYWb8qnrM5OaZ0dWWz7sVTd6OCyV9eyObeq05VztSdEUUCVROyCgCKJSNL/9jqpsbu4+6N0LwMA3KWk936UTnZ5I9NeW8tVr69H1eCzO0eRV9lAQpit1WMGWQ0UVjfx9uoc8quaOFjRyPM/ZHLTOxt54vK++Jl8r4O7hlo7TR8B3RPQwWgWRGbO3+hlwa7NriAmyMKiW4ZhETT9wahzylEUlVCjxNI5wzlY2cTuolrC/E3EBFnYkltNsNVAiElmSq9I/v3NHvzNMsW1za0eb/HGPLqGWMkorGFKnyifwlkA8SFWSmrtaBr85dMMPrljJHpg4PSjSiK5tXZe+mk/maX1dAk0c/u4JHpF+SH9Tq9kdaOTLbnVPsc0DRZtzOXygTG8vTqHez5KZ/k9Y3htZTa3jEngT6249m8c2Y3Fm/JabC+ptfPB+lwuGxjDgmPaXIsCnNsrCmcnUafUPQEdCEEWmfdLtk8XVkF1E48v34N6nFWUjs7JQlFUDJpGo8PF8owinv8+k+nz1vKv5bu54MVf+TyjGKMk8MmckXQJNPPeTUP52yW96R7p1+JYjU4XJllk6eZ8ZozoSoCl5fpEFOCh81J5Z00O4E4+PJzd/XuQZQnHoRi0JomHWhnrHA9VFPhqVwnT5q3lp71l5Fc1sTGnipve3cTzP2bh+p0egWMlgY9lT1Ed8aFHVv0FVY1kFNbS5FS4Z1IKpqNCQ7IoMHt0N+JDbXxzVHOho/k6o4hJPSO8tgkCPHflACxi51lJ6Z6ADkSzCks2t7RqD/Pd7hL+fEEPzK3O0NE5udgRmLNwi89EvmXphUzuHcX8tTl8sa0Qp6LRJyaAeyZ1Jz2vmjdWZXvmDk8IJaOwhtpmF49/tZs3Zg5mwdqDfLuzGKeiMTwxhFvHJrF8RxHpRwkNqSr8VleAIIBTkvgxs5z5a3KoPFSlcM/EZMItMqKuzdEmdgT+eVS76KNZtDGPa4fGE22Rf7M7PdTP2OZ4mL8Jq0EkOcKP/aX1/LSnjEv6R/OPL3dz5eA43r1pKEU1zSiqSlyIFX+TgYv+u6pVz6jdpdIt1MaNI7uRVVZPSoQf1w6Nx08WETpJeSDoRkCHQtE0mp2tfzmVQ0kyZt0ZoHMakGWRVXvLfRoAJlnkb1N7M/3VNVQcJeyTUVDLnR9s4V+X9WF893B+3leGLArMGtWNuz5w6wWk51Vz63ubmZ4WyxszBxMXbGXFrmL+77MMrw6GwVZ3hzicv80b4BQl7l2czvoDRyRkv9tVwve7S/jv1QMZHheI1oleAieKKIkoksh3O4poy05auP4gfzon5Te706MCzK0mm4LbtV9U08yNI7vRLczG/NUH+MuFvfg6o4jFm/JYvCmPcD8TggDlDXa+vnssQVYjla0IS6VG+mMSBe4em4BT1TCIAi6ncsiy7Dzor4sOhCQIdAlsfZ0fYJYx69nSOqcJURTI91GfDXBRvy58trXAywA4mmdW7OP6EV2JCbLw32sHsmhDntfcmiYnb/16gNsWbKawpomnvtnbooXxQ1N6EOgjbNAWsiyyOa/aywA4jKbBw0u306w7AlogSQLFTS7+smynp+KjNaoanbT1+hcEAYNBQj7mWRVsMTDv+kGYDS2fYVP6RNHoVPj7l7v487IMbn1vE9PT4qi3O1gyZyTT02IxSiJl9Xa6hlr5+LYR1DQ6uGl0t1bP44Fzu2MRweVUEBTVbQB0QnRPQAfCJsGd45P4y2c7fY7fOKobFlHobIaszhlCUTQGxAX5HBuTEs4/v2q9fruiwUGXADNPT+9HZkldq4mA09NiiQ400zs6wJM1HuFv4qHzUpnYIwLp0AtFFAUURT1uqWyzCu+uzWFgXBCXDIgmwGIgr7KRxRvzKKxppsGhkFPRSM9QywlLdsuySKPqTsg1SwLaWViu26QJ3LpgM6qmccnA6DbnjksJQ6Jlcd1hDYCiWjubcqoIthkYmxKGosL2wlqyyurpEeXP8rvH8NHGPLbmVRNkMXDpwBjqml386ZMdnmM1OBTuWbSVpbeP5I1V+/nDOd25b1Iymub+HIeisnJfGSMTw5g7UeWNX7I9pYR+Jpm7JybTOzqg0yT/tYVuBHQgXE6Vc3pEkF3ewPw1OV6xrssHxnDN4DjUTtQHW+fMoigqvbv4E2oztljxS6LQZstWgHq7i9zKRrqF2RiVHMrq/RVe4wPjg7hzQjIWTeWN6wZhVzVciobVIGIRQRKguM7Ol9uLyK1sZHDXYEYkhWIRQGnl4a6hMXdCMtnlDSzelEd5nYPUKH/+NrU36Xk1vPzTfmqbnbiLINtGEAScksi3e0p5f0MujQ6F0Ulh3DwmAX9JOGtCCm73usOjyieJAglhNg6UN7SYG2CRGZ8a3uLlKooCjQjc9M4mMkvdic09u/gTH2rjgcXbvBT/IvxNvD4zjd7RAUQEmHhwyfYWXiBwx/R/2lvKuO6R1DkVbLKIIAn8/avdLN9R7Dn3a4bE8/HtI6lpdNDgULAZJfxMMiZNQ3f6gKB1lmLIQ6iqRkWFb4EIXwQGuh8GNTVty6SeTlRJpFnV2JhThaq5hVgskoD0Pzx02uN1ngo6w3WezmuUJIEyu8qMtzd4xXJvG5tIWZ2dT7YW+NzPZpSYNyONDzfkctOobliNMrXNLr7NKEbRNEYnh9HoUPhwQy7PX9kf+RjjVhVFfjlQyUNLt3sZw/4mmfdmDyU6wITkUtC0I+5n0GhU4Y/LMvh5b1mLc3rk/B5kldYzZ2wiAScQVXPJEje+u4k9xXVe202yyAc3DyMx0HRSRLzO9HdWFAW2lNRzy3ubAYgNtvDslQP451e72J5f45kXH2LltesHEWmWUY55FrlEkTs/SvcqAXznxiH8Ycl2yupbhhesRolPbh/Jks35vPXrgVbP7bzeUYTajHywIZcL+kRxx4RkLn9lDQ4fz8LHLu6FWRYYmhCKvyyAcvpffWfiXoaG+iGKrVe+6J6ADoioqFiBiYe6rimKeka+0Do6iqIRbhL5dM4IciobySytJz7ESmqkH3aXxvKMIp/JrDePSWTp5gKW7ygmNSqAoqpGCmuaCfc30eBQePSzDE/s+b11B7l5eFePl0sQoMap8IePt7c4bp3dxU3vbOTV69PoGmIBVaOw1s43GcWE+hnp0SXApwEA8MyKvXw8ZyRWgwjHMaglWWLptsIWBgC4V6j3L9nGBzcNpe18946BUxAI9TuipJ9f1cTdH25l7sRkHp7Sg+KaZqKDzMQHW7GgtTAAAOpdqpcBkBhmo7TO7tMAAHfL6PS8aqKD2vbIRAWaKT2kP7E8o5hgm5HpabF8sCG3xdx5K7NZOmcERkXRn5dHoWeRdWAURfX5g9PROZ0oioZRVekRYmFqrwj6R9gwKioBksDHt42gX+yRPgNhfkYemdKDMD8Ty9LdXoKh3UL4aHM+v2SWsyGnkgGxQTw9vT/v3jiEW8Yk8uX2IpwCOEURhySiGmQWrGv5kD9MVaOTwuomtuXXUNrgdgF3j/LHZJBaCMMcjVPROFjRgPkE5AIaVY2F61s/h4MVjTScBfFmQRAoqXewr6SO3tEBnu3Ftc38ZVkGN87fyJNf78HPJOHXSqmmIAgUHZNAGh9qZU9Rre8dDrFyXxnDEkIwtqE7cM2QOAZ3CyH+UEOppVvyOb9vlM+5xbXNuPSEqRbongAdHZ2TgqpqXsl0mqoSbZV57dqB1DlVimuasbsUPtqYx/e7Sz3znIqKpsG0QTFc1C+aeSuzePKbPciiwORekbw1awh7S+r5z4p9ZBTWcO+kFPaXth3Sq2hwUNMo8NDS7dQ2uUgIs3H7uCSmD4rlxz2lrdaO1zWdeLlhTaOzzfFmpwrS6dUzlGSRJhXqHQpORSXIYsAs8ruTFTVJ4I1fD7DlYBXPXz2Qhz7eRk7FEVEfRdO4e1IysijyUXoRXQLNDIwPwqRpHK4j1DSNEJu3T6S2yeXlXfBFqJ+J1fvL+dflfXh46Y4WktMPnpvKks35bMur5p+X9uGdNTlt3lubUUISBHRJVW90I0BHR+eUoSgaMho2g8Sjn2VwsKKlKpwsCQztFsLEHpHMfnejpwbdpWpYjBLf7y7h39/s9czPrWwkPtTK2uyKFsc6TNcQKwvX5VJ76KV+oLyBh5Zu55YxCdw8OtFLqOhoBsQHnpB3zSDAoK5BrNznu9mRQRIIthpOa825KgpklDTwyCfbPaEUi0HitrGJXD04Ful3JA07VY38qiYKa5p5YEk6f76gFy5FJaOwhmCrkcm9IvloYx6PHlWxZDaIvHLdIHpH+dPkVHEoKoFWA3EhFvIq3R6B9LwqHjm/B5Io+OwnATB1QDSPfb6TKX2i+Oqu0XyytYC9xXVEB5m5sG80v2SWefIFbnlvE2/PGkJGQQ2GVjwHVw2J06unfKCHA3R0dE45Zk1lwU1DSesa7LW9d3QAXUOsPHBed57+dk8LEZorB8fxwveZXtu+ySjmkv6tl6kFWQ34m2VmjuzK+X28XcNv/XqAc3tFIvlIlBoUH0SIxXBCC0VZ07h/cndaUxq+Ii0W80mQIRZkifJGJwermqhHwCWKPpO8RFGgpNHF7Hc3etXxNzkVnv8hkyVbChB/h4aIURQ8Ms95lU3MWbiZx5fvZkdBDf3jgpj51npe+yWbo0+p2aly63ubKai1c94Lqzj3+VXc8+FWnr9qIP6HGvaoGizelMejF/Xy+Td8YHJ3KurtTE+LRVE17lm0lUk9IhgUH0STQ+W2BZt4/Zcjhpzd5S4DvG9yCvtKWoYZekT5c/PoBL16yge6J0BHR+eUo6oaNhFeuqo/TS6Nino7wTYjVlnEpKqE2oxebmZwK8gVVDe1aBXb4FD4fncJf7mwJ48v3+310vYzyTx/1QCe/nYvxbXNvHJtGgXVjWzPd78YVA0OVDQwvns4P+w5EpIYnxrO41P7YFDVEyobU1WNKKuBV64dxMOfbPd4HEQBLhsYw90TkuF/fOEossR763N5Z00OjQ73sQbGBfHUtL6EGSUvj4VTEHwaUYeZtzKLywZE07YD3tdJqNw0KoHFm/IBd1JmUrgf1wyNI9Rm5Okr+mOUJeqanciiSJ3dyfzVOWw4UMln6YWc2yuSL7YXsSWvhieW72bRbcNZl1XBqsxyXIrKiMQQvrlnDO+syWFvcR2xwVZuHp2AURaZ8sIqr1NxKCrPHWMQHs3KzDL+PrU3RknEZpT5bFshkiBw5ZA4BsQEYlRO7N52NnQjQEdH57Sgqu7QgL8AAQFG98tbVVEPjR2LLAnYW5HJnr86h+uGxbN0zkhWZZaRV9VEapQ/faID+XhzHreNS8KlaGw6WMk9k7oT4W9i2dYC3l6TQ3WDg/vP7c5D56VS0+Qkwt+EWRKQVeU3hYtFVWNoTADL7xpNcY2dJoeL+FAbZhHE/9EAUCWRF37cz4cbvXuFbM2rZvpra/nqrtFePUIUDdYdqGz1eA0OhTq7C9MhNT5RFJAkEU3T2ixj1DQINkk8Pb0fj32xk+euHMDekjr+9dVu7j83lczSOt5dc5CmQ0mQkQEm/nh+T7qF2thXUseA2CDPsTYdrOKSl35lzUMTuaRPJJIgoLpUQOMvF/TE7lJRnQqCqpJ9HFXC1pAEAcnpYlJSCGMSQxBxt5ZQFEU3AFpBNwJ0dHROO8e+bG0GiTA/I+X1R0SHimuaSQq30Vou1/vrcwmxGTDKEg6XyvLtRXyyJZ//u6g3DyxOp7DmSOvioEOr9ssHxYAgEGY1IjpdhAYY3Y1ulNaFYyRJRJIEVLXlC1NVVExAN38DYETTVNrUzD1BmlX4yEcLXHAn1S3emM+Nw+I8okgaYDFKONtIbJQldyihWRDIr25mY04lYX4mRiaFYgaEQ8HyI9cLLpeCqKiMTQjm23vG8tgXO/l+dymXD4ohq6yeeSu9cytKau3cvzidt2cNYeXeMqoavUWkFBW2F9QwOCbAS6bXIAoYjBI1TQ40IDrQjL9Jpu6oLpFVDQ5igy0+hYMAJqaGIwvuu+hyqZ5Ytx4AaBs9J0BHR+eMYxEFHp7Sw2ubS9VYk1XBxf18x/8DzDKXDYzlhe8z+XxbIVvzqnl4Sg/uXrTVywAAd6/62e9uotGpIgkCRs39wmtr5S9IAnZJZNXBauatOcjPB6qwSyL4SDzTNH5z17zWEEWBfSV1LVz7scEW/npxLxbdOpzhSaHUK9qhFshgEWH6oNhWj5kQZsPfKNGgCVz/9kauen0d/1mxj0c+2cGEZ1byXWY5gizhkCQ2FdYyb81BvtxTSpMoookikgbl9XZPVcelA2J491BL52NRNXhz1QGmp8X6bONbZ3eRUVqP1kbbcxPwt0t6e217d+1B7p/c3fd8WeT28cnUOVSE39nKuLOiewJ0dHTOOIpLYUxiCP+Z3o+nvt1L2SH1wW93FvPydYMIthr4aFOeR3ioX2wgD0/pQX5lI12CzORVNpEQZqOszu7Z91ianAqr95dTWN3MvROSMLRxPqIkcqDWzg1vb6DBcWQtaTFIvD1rMCnBlhaywLIseZL2HA4XsiwiSSKqqv1mjXrjMUl8vboE8H8X9+KJ5bv52xfungySKHBBnyj+dH4PDIrCTSO78XVGMUXHGEAGSeCpy/uiAbd/sKWF3K+iaixcf5CBXYOZ8eZ6LwloSRR49or+jE8OZckqb+W+o/8ux7L+QAUabuPraEyySHSQhWvfWMcXc0cTaZJ8Gk+aojKyWzCLbhnGv7/dR3peFZmldZhkkQWzh/KPL3exr8RdJjqkWzB3TUzh5Z+yWJNVzrI7RhJhkk6490NnRzcCdHR02gWSojIxKYQRc0bQ4FSQRAGLLPHJ1nycisabM4egahpRgWbWZFXwp093EGoz8odzU7nno3S6hlh9Kvgdze6iOsL8jNQ7FYIl77R0QRDQRAGHqqEhMOOtDZ5Y92GanAqz5m/k+/vGemLygiTSpMH23GpsZplgqxFZErAKAhm5lVTU2xnXPQKLKCCdQH2aqmokhdswyaInKfL/Lu7Fne9v8XpBK6rGF9uLKK+38+z0fljRWHLbCN5ff5CPtxTQ7FAY0z2MeyelEGyQqGh2eZowHcv9k7tz0/yNXscfmhBC35hANh6sYnhSCM1H/S1kqe3KB4tRIq+qZTno7eOT+GRLAaoGL/yQyT8v6onQinqfpKp0Dzbz8tX93c2INDCLbsnoe85Jwd9kQBBgV2Etf162w1N++M+vdvPMtL5IehbACaEbATo6Ou0GxaViBIyHXjKCqnBhv2guePFXjxTsezcN5bHP3XXpBysa6R5ZweszBvPD7hLCjyNAE+5npKbJSU2jk5DDyYmAIomUNjh49ZdsTJLIgLigFgbAYewulR/2lHJp70gUVaWw0cl/f9zPtcPi+edXu9lfWs+0QTFcMTgOkyzRLcwPDWjWNKwGCdF1/AREE/DH83vw2Be7GJkUysacylbbMq/NrqSq2UWEUcSkKdw8vCvXDY0HwCi4ExgFNCrr7fztkt4khfuhahpl9XYWrD1IYXUTdqdK8SH53R5R/vz14t5sy6tmXXYFZqNERkEtc8Yl8U1GMQ0OhZJaO91CrS0qOg4zbVAsDc0urEaJRodCSoQft4xJpLbJyeJDuQ6bD1bhULU2KxYO60wcRlWhAY0739/a6j6rsypwau6EQJ3joxsBOjo67RZNA38JPp4zgkc+2cGOghokUcBsED2hgUUb81iXXcH1w7sysUcE/1mxt9UOhuf1iWLOgs08MLm7xw2tigJfZBTz+PI9AJzfJ4q9JW17FLbn13B53ygaVIE7PtjCs1cOYMZb62l2qjwypQdOVWXW/A2ec5RFgauHxnNRvy7EB1swqWrb7mpFZUrPCLqGWNlf3sDPe0t9TusXG0hUgJkDZQ10iQ/E5VJRXYrXi1UDNFHEapL5JbOMp77ZQ6NDITHMxl2TUiira/a8zGODLfztkt7M/WCrl67/NxnFjE0JY971acx4ewNv/3qAP13Qkzs/2ILzmJV8VICZC/t2IdAi88p1gwi1GTEbJKoaHdhMMivuHUthTRO/7i9H+B0KfuoJzD+ROTpudCNAR0enXaMpGl0sEq9dOxC7oiJJIjeNSuCVn7M8c3IqGvnnV7vZWVDLf67oz32L01u8W+4Yn8S67EoGxQdjlo50kWtQ4N/f7uWKtFgu7h+NURbxN8tEB1lYsPagV3fEwyRH+KFpkFfVxMikMJZsyqfZqdI3JpAQPyMPHdPcyKVqLFx3kECLAbvTxS2jEzCKWgup5aORFJX+kX70jQlk/THqiGNTwrhjQjI7Cmo4WNFIZaODOg2MsoQRDeWoKgaDQaLapVHR6GBSj0hmDO9KRYOD//6QyX0fpfPslf0JsbozJGaPTuCJr/f4bOzzS2Y5k3tFcse4RF79JZtl6QW8d9Mw3llzgDX7KzAbJC7s14Wrh8TxydYCRieHYpbFQ23PNS4fFMurP+9jXXYFFqPEZQPdlRrScUILx2KSRBLDbGT7aGUMbsPIoMsDnzB6K+HjcKbbeJ4u9Os8e+gM16jIEu+sO8j81TmeuHm4v4knL+9Lnyh/ahwK76w5wL7ieqKDLFw6MIYd+dV8t7uEV69Lwya4X5QGg8SH6YWkRPrza2Y5izfl0ehQEAQYlRTGXZOSeXRZhicJDdyCQD89MA5/UeCH7EocLpXXfskmt7KRJy7vy1u/Hmi1t0GAReaT20eSVdpAcW0TqZH+xAVZsAi0Klds8zez4WAVs+ZvBGBc93CuHRbPvYvSvUIWJlnkuasG4G+SSQmzIimqu9WzQ+WW9zaTW3nEdZ8U7se/LuvDn5dlYHcpvHvjUC5/dQ2vXZ/GVa+va/Xv3jXUyjs3DqGk1o7DpWIxSFQ3OlA0jWanyo97SlmdVcY/L+1Lr6gAXvlpP5ll9cwencjdi7a2kAjuEmhmyW0jiPBz9xY4ke+sLIukF9dz47ubWowJAiy+dThJgeZ22VxNbyWso6NzxhBliSZFRRDAKgm4WhHi6QhILoU7xycxc0Q3SmqaMckigRYZM6C6FIJFuHdSCtVNTgqqm9lTVEvvmEBig61c8/o65l0/iGirAUEQSI7w45Mt+SzfcaScTdPg1/3l7C2p47/XDOSaN9ahaW4D4IWrB2AR3AuKhFAbOwprMB8S4YkJsrTZ3Ki2yUVRTTO3Ldzs2RYdaGb+jUNB07CZJMzCkYY/giiSnl9Dvd3F8MQQ1mVXcsf4JG44KtRwGLtL5d5F6Sy4eSib8qoZFR9EowZXv76OqmOy9LPK6rl70VaemtaPWfM3oqoab98wmEZH29+J4ppmtEPHbPXeiAKR/mZkSeDjrQW8cNUAnvh6t88eAUU1zby7Nof7J6X4lHL2hcul0ivCxpsz0/jbl7s8CYGJYTb+PrU38QHt0wBor+hGgI7OWY4oCdSrAvNXHeCnvaUYJZGrBsdxQd+o48em2zEmScRkFTE4DwnKKG71QXBr7r/8UxbvrTtIzy4BmGSJ137J9pSsPbR0B29ePwizohIbbPUyAI6mrM7Otrxq7pmUgqKoXD4oFqsIguoWF+oSYGLh+mou7BfNvu/24VI1r3wFX0iigCQKRPibcCoqhTXNzHhrPU9c3pc73t/CLWMSuH5oPJJLwS64m+OIgsCL1wzk8oGxbM+vafX4DkVlXXYl+0vqGNothHX7y1sYAIcpqbVTWmcnKdyGLAh0CTDT6FQRBVqVH06J9MMoiZ6EP18M6RZMl0AT+VVNKKpGsM3YqsAPwMeb85k9OoEQS1tFm96IqkZaF38WzR5Gk0tFAMyyiFWkTQVEnZboRoCOzlmMJAkUNSlc+dpar7rufy7fzcL1B3l/9jCMZ6Gmml3TWLw5H1XDZ1ncrqJamhUNsyy0WjZ3mO92lfDy1QMwCbjr/Y96x5jRuGN8ElWNTpLCbXy3q5iL+0WzZHO+z2ONSgpFUTQ+uGUYOeWNmA0iYX4mFm3IdUsYB5h46acsjJLI9UNi2ZFb47lvN727kfvO6U5JbbPPYx8mp7wBSRRRNXccvy2251UzPjUCg0Fk9nubmdQzgsm9Ivl2Z4nP+fdNSsFfEpg9OoH//ri/xbggwMNTemBU3KECoNUugYdprQrjeLgOV5IcllRQVfT3/2/nlBoB5eXlPP300/z888/Y7XZ69erFgw8+yKBBg4677yOPPMKnn37aYnv//v1ZvHjxqThdHZ2zjmZN4KGl230Ku+RUNPLuuoPcNiL+kIb72UVrK9XDNLkUQoyypxzxMD2i/Am0GMirbKSwphmDJKKpGk4fNf6qqhFmFAkwW3hj5mCWbc1nXGoEa7MrWqx+Q2wGHr+sL89/v4/PthV68tYsBokHzu2Ov0kmLthKXmUTr686wLRBseRXHzmGpsGqzDLGdY9o87pSIvwItRkRBIg4TslkoNXItEEx/PfH/ewqqiWvspE3bhhMWZ2dLbnVnnmCAHeOT6JXdAAOh4vrhsThVFSvnIxQm5HHL+tDtM2AU3RrHIT7mxAFoU3PwaikMMy/o8OhzsnhlBkBdrudWbNm0djYyKOPPkpQUBDvvvsus2bNYtGiRfTq1eu4x7BarcyfP99rm81mO1WnrKNz1tGsaG2udBdtyOWGYfEYT+M5nQ4Ezd1xb2tetc9xP5NMZYODILPMgNggJFFgcq9IZo3sxu6iWsrrHVw7LB6rUUYUNJpVDZcKFh8uZ0XRkBSFIEnk5hHdaFI1Ft06nOU7ivhkSwFORePc3pFcNTiWt37NZll6ode5NDkV/vnVbt65cQi2Q6126+0u6uwuekb5e83ddLCKB89LxSAJLUrzwB1qSOsWzK7CWjRVY9rgWN749UCLeYeZOiAaQYBPtxYAbknfOQs386cLejJ3Ygpbc6uwGiUm94oko6CW73aVcn7vCCSHwuzh8Vw/NJ6SOjsmWSTIYsAiuEWXPthawKrMcv56US8+31bAzBFdW/QZOHy+D0zujtWgV/WfKU6ZEfDxxx+TmZnJJ598Qu/ebg3ooUOHcv755/Pss8/y5ptvHvcYkiQxYMCAU3WKOjpnPY7jJEjV2V3wv7e9P60IgoDBIKIBreWSmQV4eEoqV7+x3uf4jOFdWbq5gKsGx5IUYuH5K/tjV1RueHsD/WID6dklgDVZFewurOHZqwbwVUYRT3+7j6RwG09N60fXAJO7G85RqKqGQ3PH2ptdCmnxwYxODsPPJJNdVoei4mnJ64sXf8hkSp8ufLfL7Yo3iALdQq1EBZgpqWumd5cAekUHsOVgFc9c2Z/7P9rmpYcgiQL/uqwvn6UXMrV/NH/+bCf9YgO5cVQ35q/OafF5fzivO6IATQ7Fq11zdaOThz7eTpDVQEqEHw6XyvjUCL7fXYKqaUQEmOgfE4hRVTGpGvE2w+E/ACpgF0XeWHWAmiYnUYFmrhoSh+uQwfLe2oMej0BssIWnLu9LmEWPSp9JTtlf//vvv6d79+4eAwDAaDRy0UUX8cYbb1BfX4+fn9+p+ngdHR3Azyi16YrtHxuE0IHyAl2SSFmDkw9/yaW+2cV5vaMYGBeEBc0rI1xRVOKDLfzrsj48+c0eag911zNKItcOiyc1yp95v2QxITWc1BALvaIDuWfRVt65cSjb8qvZmFOJzShzx4QUMgpqGZMcToNd4ZWfs7jmjXV8dddoQmTRS/feKUusyChm/uoD5FQ0Ehlg4pqh8Vw2MIa7F21j/o1DvF62x7Itv4a5E1MAdwmfxSBiBpbMGY7DpZFT0YCmudv1BloMfD53FMszijlY3kBciJVxqeEs2pDHqORQnvh6D+l51fy4t5Q/XdCTl68dxOJNeeRXNZIQZuO2sUmU1DZz3vOrePuGwT6/I9WNTjbmVBFsNZBb2ciX24sAWL6jmO6Rfrw9awgmQWthDNldKjVN7mTEz9ILWbmvjOlpsZzTI4LLBsZS2WAnxGbEzyhhofXSSJ3TwykzAjIzMxk2bFiL7ampqSiKQnZ2Nv369WvzGI2NjYwcOZKqqiqioqI477zzuOuuu/SQwO9AFAVcgoALd2zRLB4pQ9I5ezGLArNGdvMS1jmah85LxSx0jHariizx5Dd7+WzbEXf6F9uLiAow8+EtwwgQBa9KB6MAdqfKi1cPxKloOFwqYX5GvtpRxP2HxISSI2wgCny1o5C/XNRSn//zbYVM7hXJH85NZUxyGB9syKW60cmLP+7n/6akenTvVVnixR8z+XDDkfa/JbV2nv8+k805lfz14t5tGgAAQRYDjXYXRknk6el9MQMOQeDdNTm8szrHs+q3GCT+e80AvskoprTOTmSAmV2Ftbz+SzZ+ZpmL+0eTfigMomnw+Fe7iQ40c+nAGManhpMc7seOgir+/qVbIfHLHUVcNjCG99fn+jyvq4fE88mWAq9t+0rqefrbvYxJDmNUUiiy66i2wJLoVWFQ3ejkzVUHePNQAyKTLPLDfWMxKmqH+N6d7ZwyI6C6uprAwMAW2w9vq6qqanP/Hj160KNHD7p3746iKKxZs4YFCxawadMmPvzwQwyGEy8nORpBOCLYcCLIsnTovE98n/aG3aWSV93EU9/sYfX+CkyyyKUDY7h9XBIRfgZAOCuu80ToDNd57DXeNKobDQ4XC9flejK1/Uwyf7ukF726+HeIeKwgwNc7S7wMgMMU1zZz3+JtvDkzjUCT9yNtTPcwzn3uF4yyiCyK1B/Vn75XlwDC/c0IokBKpB9/+2KnT33+73aVMLlnJA5F5aJ+0ezIr2ZKnyiqnSqaphFgNqCoKos25rXYF2DV/gquGdaVoupmenbxZ3eRb0niywfFUFpn55t7xxDlb0IA3l+T43l5HqbJqfDST1lcOTiWP32a4TWWFO7HNh95EIU1zR5DcGxKGPdMSuH9m4ehqBqCAAFmA1ll9azLrvTab3xqOIO7BfP6qpbx/K93FDM9LZbHvtzFE5f1xc/o/h4ZnArn9orkm1YqDKYNiiXIasB4VMvfzvC7hDNzncJxwn0nZASsX7+emTNnntAHrl27lpCQkEMf3vqntzUGMGvWLK9/jxkzhoSEBB599FGWL1/O1KlTT+h8OjuCADuL6rjurfWeF4DLofD++ly+ySjmsztHedS6dM5OAkwy95+Twi1jEjlY3oBRlogJthBokjH8RsnWM0VVk6tVbwZAel419XaFgGOMgEg/E/OuT+OeReleBkBqpD+vz0wjyCzjVDWiAsytvpwB5q85wH+vGUiIzeB2ty/f41Hg8zPJ3Do2gScv78cjn2z3qVb77c5iYoIs/N9Fvbn53Y0tqjVSIvyYNSoBf6PkyZSvaHTyxi8tX76Hr/cvF/YkwCJ7Qh2AW8XP2LZRZzvUQ+CFH9wlfv4mmdvGJfLnC3pRWtfMmqxyzAaJc3tFsT2/hjs/2OKzzM+hqGgafLuzhD+e39NjBFgNEn+5sBfpeTWepkSH6RZq5a6JyV4GgM6Z5YSMgMTERJ544okTOuDhOH9QUBDV1dUtxmtqajzjv5VLLrmEv/71r6Snp/9uI0DTfptkY0eXYHVKIg8t3e7zR1zR4ODVn7O4b0IiATZ3KVFHvc4TpaPfzxOhtWs0AanBFkBDc7podLpa7txOcYgiBW0IzgDUNDqwaS1d7oO6+PPdvWPYeSjrv090AOF+RkyqSk1NE4IgeBLXWqOoppnimmbigq1c+soar99Tvd3Fs99lMndiMpcOiPFk2nudv0ulyakQYJZ5b/ZQPt9WxOr95ZgNIhf1jaZPTACV9c1YrEZqDsXI6xSN2ubW79G/lu9m4exh3PLeJkpq3Vr/u4pq+evFvdoU/Lmwbxee+HqP5991dhf/WbGPZpdKdaMDEYE547qRWVLP89/va1WYyGaUPI16dhbUECAGoBz6O1olgaVzRvDDnhI+21aEKMD0QbGMSQnDqCjU1HhfV2f4XcKZkw1ua819QkZAeHg4l19++W/64OTkZPbt29di+969e5EkicTExN90PMCThCOKuhV5ojQ6VS/N8GP5NL2AO8b/9nuh0zHpqK1CRCAh3Mb2/JpW5wRaDOCjh7ymqJiAIdH+CIKAoqhoh9QFBUnEDoQexxuWHO6Homk8/31mq+I376zO4dXrB/k0Ai7s2wVRhFdXZrFiZwnn943i2qHxOBSVn/aU8uQ3e+gR5c/bM9I4HOg83mp5d1EddqfCx3NGUFTdzMHKRoKtRsL9TcydmMyLP7QU8xmXGo7dpVJQ3fIldPj8D1Y0IqgaKRE2bhrdjae/bfkcB5iWFutJFrQaJS8PiKJoGFG4uGcEk1MjEACTKOByKeiZSO2LU/Y2nTx5Mvv27WP37t2ebQ6Hg6+++ooRI0b8rsqAzz//HFVV6d+//8k81bOa46l12V2qr+emjk67wizAXROTWx0flRTq7gzYBoqi4XKpR15WokB2dTOXvLyGFTtLGJUc2uq+M0d0RRYFft3fugJfvd3lMxQQF2JhYHwQ/WKC+HZnMQ5F5bP0Qv7+5S6e/HoP6w+44/A5FQ04jzqASRIYFB/c6uddMiCaqkYnNlEgLtjM0i35lNY2c99H6VgNMi9ePYC0rsEEmGWSI9wNg64bFs9flmX4PF693YUoCHSP9OOatzbw5q85XDYwhov6dmkxd3RyGOf0jOTz9ELMBpGUSD+f8tMul4qsqkiqisulpwG2R05ZYuD06dN5//33mTt3Lg888ACBgYG89957lJaW8vzzz3vNnThxIgA//vgjAAUFBTz00ENceOGFxMfHoygKa9euZeHChQwcOJALLrjgVJ32WYfNJLWIGx7N6ORQ5I4RFtbpxCiKSt+oAG4dk8DrxyTKJUf48dS0fsiq+pvs2UYNZry9AbtL5bVfspg3I42qBie7io6IKwkCzBmbRHGtHUkUMRukNrP8bSYZWRRwHUq4G5sSxj+m9sGsqjThW+AnLsTC3RNTiAwwk1naQJcAE0EWA1YBnry8D9PnrW0RFogNtjBjeFci/Iw0KSrNLo3z+3QhKdKPLbnVbMmtJiHMxlWD47hxZDeqm5x0DbVx5wdb2pTpDbYamPn2BsrrHWSW1rN4Ux6f3DGSuyYl88W2IlyqyojEUPKrmpizcDMOReWpqX0x6SuJDsspbSVcVlbGv//9b1auXOmRDX7ggQcYPHiw17xjjYCamhr+/Oc/s2vXLsrLy9E0jbi4OKZMmcKtt96K2Wz+3efU2VoJS7LEpxnF/OOr3S3HRIHP7hhJF4uMv7/7b9pRr/NE6ej380Q4m69RkUQaXCordpZQZ3cxrns4cUFmTJr2mxohSbLEG+sO8upRKnbhfib+clFPLAaJ9LxqIvzN9I4J4JuMYt769QDT02LxM8m8sybH5zFjgy18dMtwFFWj0algMUiYRJBVDU3TcIkicxdvY/PBI5VRSeE2/nV53xbtihPCbLx+/SDCzDINGixYe5AVu0qQRYGpA6KZOiAGSRR45af9fLwln2anSu/oAP5zRX/Of2GVz/ObnhaLSRZbLQWMCbLwxwt6MPeDrV7be0T5M39mGkaDxLoDlbz0435yKxvpGxPI/ZO7Ex9kRvofa/3P5u/s0bTHVsKn1Ahoj3Q2IwBAkSS+2lnMCz9mejwC8SFWnry8L8khFgRFPSuu80ToDNfZGa7RYJCw2Uxomva7rtMlCtz50Xa25LYsVQ7zM5IS4c+Vg2OZvybHk4cwtGswz1w1gGmvrqG0zu61jyQKvHPjEHqHWlEUFVkWURAQBXdOgqpqSJLAgVoH019b6wkbvD1rCH/+dAdFNS2bAoXajHx+5yjC/Yy4VI2qBgeiIOBnEKl1qVwxby2Fx+z37+n9eG1lNlllLZ9xJlnko9tGcMt7myg75vxFAZ6/agDvrT3IpoMt/yY/3D+WAAEkWaTx0PteBgz8NuOrNTrDdxbapxGg6zV2AiRF4bI+UZzXO5J6uwtJFLHqbTd1OjBOp/I/JTnKgkiozbfWSHm9g/L6Ci4dGE11o9Ojq/HAOSl8u6uEl64dxLKtBXy5vZAmp8KIxFBuHpOI1SghSQJNSPx6oJKvdhRhkkWuHRpPQqgVQVWJ9Tfx9szB/HlZBmaDRHm93acBAO7qnQ05lVzUNwpZFDAeamDkFDQ+2VLYwgAAt8fg3nOSuevD9BZjDkUFTeOTOSN489cDLN1SQLNTYWRSKLNHJ/Dl9iKfBgC4qxswiCgud5LlYfSnR8dHNwI6CYpLwYR7NQDobTd1OjWipnLTqAS+213qc9xikBiZFEZafDAmWcQsupNo//3NXpyqysX9onlqej8MkkhGQQ1/+Hgb3UKt/Htaf659c71X9v1XO4oZmRTKM9P7IbsUBkT5sfjW4YiiwGs+RHiO5pd95VzYJ8prW6OisXSL7x4EOwpq2JJbzWsz0vjnV7vIq3SfR9dQK3+7pDddbAZEVeWusYncOjoBBBAQeOzLXazY5VvcxySL+Jlk8NFFUafjoxsBOjo6nQ5V1egWYmFq/+gWKoSiAM9e2R8zGmYR98tPdb986w4JDi3ZnM+Szd4v4uuHd+XPy3b4LL9bk1XBZ9sKubJ/NK5DBrlBko7b6jfMz4ggCC28Hr4SDA8zf3UOU3pH8tyVAwiwGBBp2f1QcymezpGSJHDTqG6tGgFXD4k79Hdo81R1Oih6wb2Ojk6nRFZU/nhed96ZNYSRSaF0j/RjelosX989hrTogBaNcY5Xtz+0Wwi/7q9odfyt1Tk0HRU/dzoVzu/TsvzuaKanxbYwACySyDk9I1rdxyiJxARZSQ4yEyxCoAhGVW019KcoGgnBFv49rS/Wo9QGBcEtZXz72ER0t+HZi+4J0NHR6bRIikq/CCvPTeuLS9UwSSIoCpoP17dZFBjSLZiNOb7j5lIbyVeAOxnvmClWSeDBc7vznxUtBXluG5tIoA8JYNWlcNOoBD7enN9Cfhhg9uhumNBwtqL05wtRUZmQFMrIe8aQU9FIk1MhJdIPsygg6fX9ZzW6J0BH5xQgyiIOyf2fSxSRdK30douiaIiKilHT0FyKT8EfcGfC/+vSvoeUCb2JD7ES7m9CbsMQSAiztRDmklSV6QOiWXLbcCakhtM11OruVnjzMG4cHo/UShzeT9RYMmcE/WOPNGkLMMv84dzu3DC8awsvxgmhqJhUlZ6hFgZF+WHTtP+59E+n/aN7AnR0TiKiKNAsiixYe5APNuZS2+Sib0wgfzivO93DbPpDtQOjqhohRpEv545i8aZ8vtlZjEESmZ4Ww5TeURiBS/pH84kP2WBwKx5axZaedUlRSQww8eTU3jhVDYMoIGsaahvfFVXRiDJLzLtmIM2qhlNRsRokLKKA+j+u3E9GyZ9Ox0E3AnR0TiJ2UWTGWxvILm/wbNtRUMPMtzfyr0v7MLl72O9bpem0C1RFxQzcODSOq9NiQADrIU18DfjDud0pqG5k/QHvkMGNo7oxMiGkVelcVdUQ0dzld4p2Qjl4iqIho+EHIAmgqnoCv85vRjcCdHROErIssnxXiZcBcDT/+Go3Y1PG0HY+uE5HQDmcXa+B66iVs0FReP6K/pQ3OlmVWYbZIDG+ewRWSY+t67RPdCNAR+ck0aTC4s2+67cBmpwKBysbSQ22dNhufjpto2nuqoMuZolrB8agabhX/7qLXaedohsBOjonCVXT2mwuA9DsUhEEWk0+0zk70DR3CaCOTntHT1nW0TlJWCSRc3q0Xr8tCpAS7rvlqo6Ojs6ZQDcCdLwQRQGXJGIX3f9pkogg6L2GTwTVpXDtsHj8Tb4dbFcPicek/+J0dHTaEXo4QMdDs0slr8HJ48t3szGnClkUOLd3JA9OTiVAFtH0rPbjYhVgyW3D+cPSHewocHefsxgkbhjZlVnDuyLqyWE6OjrtCN0I0AHcEqEZhbVc/9Z6Tw6TS9VYvqOYVfvK+XzuKPz1WPZx0RSVCLPEa9cOxK5oOBQVm1HCLLr12nV0dHTaE7pzUgeAykYnf/x0h88k5jq7i+e+34cq6l+XE0FRNAyqip+gESILmFQVTdde19HRaYfoT3UdABocCgcrGlsd/zqjGOdpPB8dHR0dnVOPHg7QAdzlbW3h0jPaj4vBICEIAoqiouj5Ezo6Oh0A3QjQAcDPJBPuZ6Ks3u5zfExyGC37mekAqKJAowrfphdSUmtnVFIoPbsEYEHTjQEdHZ12jW4E6AAQbDHwx/N7cP+SbS3GZFHg4Sk9MGgnpmnemVAkkc93FPOvr/d4ts1fk0NUgJkPbh5KkCygKLoXRUdHp32i5wToAO425+NTw3n2iv5EBhxRt+8e6ceHtwwjwiLpIjfHIIoChbV2LwPgMMW1zdyyYAtNmq6xoKOj037RPQE6HvyMEuMTgxl22wganAqSKGCRRMwCulvbBy5B4NWVWa2OZ5XVU93kJMKkB1J0dHTaJ7onQMcLxaViVFWCJYEAAQyqnuTWGk5VI7u89YoKgILqJkRR9wbo6Oi0T3QjQEfnd2IUBeKCLW3O6RKodwzU0dFpv+hGgI7O70TSNOaMS2x1PD7ESojVoKss6ujotFt0I0BH53eiqhrdgi3cMT6pxViw1cAbM9Kw6JEAHR2ddoyeGKij8z8gKSozh8YxtX80SzbnU1pnZ2xKGCMSQ7Gg51Po6Oi0b3QjQEfnf0RSVEINAneNSQBAVVVcLgW9XZCOjk57RzcCdHROApoGDofrTJ+Gjo6Ozm9CzwnQ0dHR0dHppOieAB0dnXbL4aZMoOFw6AEWHZ2TjW4E6OjotD9EgWYEPttRzPb8GpLCbUztH41VFBBUPdlSR+dkoRsBOjo67QpBEtlX2cSN72zE7jrywn/+h0yevaI/I7sGI+qGgI7OSUHPCdDR0WlXNCNw07veBgC4ky/vX7KNRr2RlY7OSUM3AnR0dNoNsiyyMaeSZqfvlb6mwZLN+RgMelMmHZ2TgW4E6OjotBtEUWB/aX2bc7LK6tGDATo6JwfdCNDR0Wk3KIpGjyj/Nuf0jArQH1w6OicJ/beko6PTblAUlYHxQfiZfOcsy6LApQOicTr1ckEdnZOBbgTo6Oi0KyxovHfTEGxG77i/QRJ49bpBWEW9K5OOzslCLxHU0dFpV6iKRld/I9/eO4YNB6rYUeDWCRjXPRyToCHoTZl0dE4auhGgo6PT7lAVDRMaExKDmZQciqpquFx6CEBH52SjGwE6OjrtFpdLBb0WQEfnlKHnBOjo6Ojo6HRSdCNAR0dHR0enk6IbATo6Oj4RBAFBlnCJAqKsK/S1VyRZwi6JVCkadRo4JRFJ0h/tOieGnhOgo6PTAkUSKal38NbqHAqqm+gZ5c8NI7oSYJQQ9ez8doMiS3yyvYiXf95PbZMLgJ5d/Hnysr7E+BnR9Hulcxx0c1FHR8cLRRJZtLmAqa+s4fNthWw+WMXC9bmc+8IqNuRVo+l1+u0CQRZZvDmfJ77e4zEAAHYX1XHl6+uocakI+q3SOQ66EaCjo+NBEKCq2cXzP2S2GNM0uO+jbdjR3yztgWYVXlmZ5XPM7lJ5+ecsNFF/xOu0jf4N0dHR8SAZJN7fkNvquEvVWJNdgSzrj44zTUWDs9VuiwA/7SmlWe+6rHMc9F+yjo6OB0WFklp7m3OKqpsRdD/zGUeW2r4HRllE0I0AneOgGwE6OjoeZEEjLT6ozTkD4oJQ9ISzM06QRSbUZmx1/PKBMViOYyjo6OhGgI6OjgenU+WCvl0wG3w/GiIDTKRE2FBVfYl5pjED/5jax+dYhL+J64Z1RdWllnWOg24E6OjoeGEVYOHsYQRZDV7bY4MtvD97GJYzdF463qiKSlpMAItvHc6g+GAAzAaR64fFs3TOCKzohprO8dF1AnR0dLzQFJVu/ka+nDuKA+UN5Fc1kRzhR3SAGYuAHgpoR4iqSnKQiZev7o8CCIBJAM2lovsAdE4E3QjQ0dFpgaa6u/j1CrXSJ9yGomhoqv5iaY8oioaM5nmY6+t/nd+CbgS0Q0RRwCipCJqCCyNOl77y0jkzqKqmx/91dM5iTpkRkJmZycKFC9m5cyd79+7F4XDwww8/EBsbe8LHyMjI4Omnn2bbtm0YDAZGjx7NI488QmRk5Kk67TNOgNSAXJuDuOlNBHs1avJ5aN2nUKsF41L0h7GOjo6OzsnjlCUGZmRk8NNPPxEWFsagQYN+8/5ZWVnMmDEDTdN44YUX+Mc//sGuXbuYMWMGDQ0Np+CMzzyBcgPGH/6I9M55CBlLIPM7xK8fRHp9DAHOPL0piI6Ojo7OSeWUvVWmTp3KL7/8wrx585gwYcJv3v/FF1/EZrMxb948xo0bx5QpU3jllVfIy8vj/fffPwVnfGaRZREpfw3Czk9aDjZVIS2ZiY2a039iOjo6OjpnLafMCBD/B81qp9PJzz//zJQpU7BarZ7tSUlJ9O/fnxUrVpyMU2xXWNRapDUvtD6hfB+ys/b0nZCOTjtAEASMRhmjUUbUGxfp6Jx02mViYF5eHs3NzaSkpLQYS01NZdmyZb/72IIAgYEnXuksH+qj/lv2+T3ITfVQV9jmHLG5isAuyafm80/TdZ5pOsN1ni3XWGN3UVjTzCdrDuJSVS7pH023UBtBZvdj62y5zuPRGa6zM1wjnJnrPJ7Cd7s0AqqrqwEIDAxsMRYUFERzczPNzc2YzebTfGanDk02oYX3RKgvbX2S39mbEKmjczQ1zS4eWrqdn/aWebYtXJdLv9hA3pgxmGBLu3x06eh0OE7ol7R+/Xpmzpx5Qgdcu3YtISEh/9NJHaatJiW/t4GJpkFNTdMJzz9ssf2WfX4PomgkeOwjCAdW+hzXuo2lWbBRf4rO41Rep9EgIuFCQcbRRtez08Hpup9nko5+jZIs8uGWAi8D4DDb82t45ru9/GFSMoE2E9Bxr/NE6ej380ToDNcIZ+Y6Q0P92vQGnJARkJiYyBNPPHFCH+jn53dC89oiKCgIOOIROJrq6mrMZjMmk+l//pz2hKpqNAelYD73ccTvHgXtqJdlZB/Uqa/QoNjoSFIgJsmFTatG2LIIsWQ7amgy2oCZNEnBNKln1/3TOXk0qvDOmoOtjn+WXshdE5Jp6SfU0dH5rZyQERAeHs7ll19+qs/FQ1xcHGazmczMzBZj+/bt85krcDbQ4DKj9rgaS+pFbo9AUxVa11H8f3v3GhTVmeYB/H9Od0NzR5ARA8SopAWyirdFRR1WvAxrMt7KpKaIZlmdcuM1NbkoVcbJTtVsqUk2TmJGkyqjo2CcdbaCcSsW3uJlEhDHRGLQDOAliTpjFKRBoKHpc9794NCxhebSF7oP/f99kve8p3keHul+OOc95yjhCbinRkII7TQAQToF4XfOQv6fXEC1AfjHKtTSrQj9+VbgsdmwKM6fgEaBSxECd5usTre32lS08gZaRB7hlxeeGwwGZGVl4fDhw7BYfjxscu3aNZSXl2PWrFk+jM67LEow7qqxqB++EA0jl6EuNBX1SoTm7toWjnuQ9y+yNwB2QkD+v9UIUcw+iYv8n06SENPFI3KD9TKC9X751kWkOV77TbJYLCguLkZxcTEqKysBAKdPn0ZxcTHOnj3rMDc7OxvZ2dkOY2vWrEFjYyOWL1+O06dP4/Dhw1i+fDkSEhKQm5vrrbD9hs2moq1N0dRf/+30ehnStROA4uSvOSEgfbUXQUFc3EUdhcpAXuYQp9vnjn4ERvYARB7htXfh2tpavPDCCw5jv/nNbwAAGRkZKCgo6HL/5ORk7N69G2+++SbWrFkDvV6PyZMnIz8/7883TwAAEyVJREFU3yPrDsh7ZFkC7l7pes7dK5Bh63IOBSbFpuKZsYn48jszTlY5Lg4clRCFX01/HLDxUUZEnuC1JiAxMdF+BKA7n376aafjo0aNwp49ezwZFvUBRREQ8eldzlEfGQtF6AA+l446obMp2DjvCdxutKKo/G+wKSp+PuoRJA0wwqCoGloeS+TfeDyWPE5RVIjEDMAYBbR0cqtjXRBE6ly0tbEBIOf0ioqEUAN+lTUMAGCzKVDZABB5FM+skVfcE5FQF30MGKMdNxhCoOb+Lxql6M52I3IghIDVaoPVatPc4lgiLeCRAC+SZQnBchtk0QabbERrW+Dc+9ymSKgPHY6IZZ9D+vuXkH6ogIh9HCJpIpoQCavC/pOIyNfYBHhJhK4JhoarkM/8HlLTHahJExE2Ng+NcmzAfADaFAl1iIJu8HTICTOgqgKKwuu7iYj8BZsAL4jUNcHw599CPv/jFRDy9TKgbDsinv0IDdGj0BYgjQBwf42AwtP/RER+J3A+iTxIliWE6ywYIN/FAKkGkbp70P/j5iWyLEFvrnJoAOwUK+Q/LUY47vVxxERERB3xSEAvGXQqIqw3IBevg/TtnwEA+oEmGGb9FywDxwCQIZdudf4CljpIdVcgR4/jQiciIvIpHgnoBUmSEGH7AboPptsbAABATRXkD59GyN8/h14nun4cMAA0/uDyUxCJiIg8hU1AL4TIrZBP/BZo6/wxkHJxPnRqC8QjY7t+obgRUFUukCMiIt9iE9ALQbBAqjrkfMK9v0OyNkKdsByQdZ3PGfRPsBl/Ag0+EoCIiPoZNgFe0KwfCPWZD4GgMMcNP0mF8syHaBQRvgmMiIjoAVwY2AtWhEBvmg3pm487nxAxGKohAi2KAWrcRIQtPwv5h6+BxtsQ8SOhhMbfv5MeFwQSEZEfYBPQCxY1GMZpr0J3+Uin6wLUnE1okqIACFhVHaxqFOS4qZAHSffvp68A4J3PiYjIT/B0QC8IIXBPPwjK0uMQj039ccNAE9TcP8EyeDLabI4f8qoqYLOpXANARER+h0cCeqlNkWE2DEHonJ0wCAsgFCiyEc1SFGw2rvgnIiLtYBPgAlUVaEQIgJD7AwoAsAEgIiJt4ekAIiKiAMUmgIiIKECxCSAiIgpQbAKIiIgCFJsAIiKiAMUmgIiIKECxCSAiIgpQbAI0TJJ8HQEREWkZbxakMTqdhDA0QG+tB5prgPB4tOkj0CTC+WAiIiLqFTYBGqLXSYi03YTuT4uBO5X2cV3ieBgW7IRZjmUjQEREPcbTARoSIZmh2z3boQEAANw4B93e+YiUG3wTGBERaRKbAI3Q62XI104CTTWdT6i9ArnuCmSZCwWIiKhn2ARohF5WIFcf7nKOdO0kdDqWlIiIeoafGBohoIMIGdD1pJDYvgmGiIj6BTYBGmFtE1DHLXE+QZIgTDloa1P6Lig/JssSQvQ2hMnNCDZwsSQRUWd4dYBGCCHQFjIY0ph/g3x+d4ft6r9sQIscAbAHQKS+CXrzZchntkFqvgM1aRLCxuahUY7xdWhERH6FTYCG3FNCEfnT9TCY/hXy5/8NNNyEiH0c4qdr0RplQrNi9HWIPhepb0bQif+EdGGffUy+fhYo246IRUVQwv4ZQtL5MEIiIv/BJkBjGmyh0A36KUIWjIUs2qBIQbCIUKgKD3nLsgR97TcODYCdYoW8fxHwfAlsIT/p++CIiPwQmwANUhQVjQh9YIQNAAAY5RboSt9xPsFSB6nuGsAmgIgIABcGUj8iq21A052uJzX+0DfBEBFpAJsA6jdscgjEI2O6njRwRN8EQ0SkAWwCqN9oVXRQJ64EJCf/rQenQ4TF9W1QRER+jE0A9RtCAM36OKjP7AWCwhw3DnoCytOFsAXzMkEionZcGEj9SotigDooE2HLz0L6oQJS422IwaOghAzCPRGBCF8HSETkR9gEUL9jVXSwIgpy3BTIgyQoigqhALyKgojIEZsA6rdUVUBV+cFPROQMmwDyOEmSYDDcX27S1qZA8HOYiMgvsQkgj5EkIELXBH3T3yCdP3j/oUapc2ELjUeDLaz7FyAioj7FJoA8JkrfCP3H/wHp2qkfBz97C3LyLEQ/tRXmNjYCRET+hJcIkkcE61Xoyn7v2AD8g3T5CHRf7uQjfYmI/AybAPKIENEA+YudTrfLZ99HiNrQhxEREVF32ASQR0hKK2Btcj6hxQxJtfZdQERE1C02AeQZumBAb3S+PTgCQjb0XTxERNQtNgHkES1SBER6rtPt6rh/h0WK6sOIiIioO2wCyCMsNh2Uqa90+hQ/kTQBasYKtNokH0RGRETO8BJB8hizLRKRT++Drq4a8lcfApIOanoulOhhaLCF+zo8IiJ6CJsA8hghBOpt4ZCjxsIwfTwgJLTZFKg2XhpIROSP2ASQx6mqQGur4uswiIioG1wTQEREFKDYBBAREQUor50OqK6uRmFhIS5evIjKykpYrVYcP34ciYmJPdo/Pz8fRUVFHcbT09Oxf/9+T4dLREQUcLzWBFRUVODEiRNIS0tDWFgYzpw50+vXCA0Nxa5duxzGwsL4EBoiIiJP8FoTMHfuXMyfPx8A8Ic//MGlJkCn02H06NEejoyIiIgAL64JkGUuNyAiIvJnfn2JYHNzMzIzM1FXV4f4+Hj87Gc/w+rVq906JSBJQFRUSI/n6/U6AL3bR4uYZ/8RCDkCzLM/CYQcAd/kKXVzo1a/bQJSUlKQkpICk8kERVFQUlKCgoICnDt3Dvv27YPBwIfREBERuaNHTUBZWRmee+65Hr1gaWkpYmJi3AoKAPLy8hy+njp1KoYOHYoNGzbg0KFDmDt3rkuvKwRQX2/p8fz2jq03+2gR8+w/AiFHgHn2J4GQI+CbPGNjw7s8GtCjJmDYsGHYuHFjj75heLj37hE/Z84cvPbaaygvL3e5CSAiIqL7etQExMXFYcGCBd6OpVtC3L8HPRcdEhERuU9Tn6YHDx6EqqpIT0/3dShERESa57WFgRaLBadOnQIAVFZWAgBOnz6NmJgYxMTEICMjwz43OzsbAPDpp58CAG7evIm1a9fiySefxKOPPgpFUVBaWorCwkKMGTMGs2fPdjkuSbp/jqQ384He7aNFzLP/CIQcAebZnwRCjoBv8uzu6gBJtB9j97AbN25g+vTpnW7LyMhAQUGB/euHm4D6+nqsX78ely5dQk1NDYQQSEpKQk5ODpYtWwaj0eiNkImIiAKK15oAIiIi8m+aWhNAREREnsMmgIiIKECxCSAiIgpQbAKIiIgCFJsAIiKiAMUmgIiIKECxCSAiIgpQbAKIiIgCFJsAIiKiAMUmgIiIKECxCSAiIgpQbAKIiIgClNceJaxV1dXVKCwsxMWLF1FZWQmr1Yrjx48jMTGxR/vn5+ejqKiow3h6ejr279/v6XBd5m6eAFBRUYE33ngDX331FQwGA6ZMmYL8/HwMGjTIi5H3Tk1NDd544w2cPHkSra2tSEtLw8svv4yxY8d2u6+/1bKpqQlbtmxBcXExGhoakJycjJUrVzp9WueDvv/+e2zatAllZWVQVRXjx4/HunXrkJyc3AeR946reW7duhXvvvtuh/GBAwfi888/91a4Lrl16xZ27NiBixcv4q9//Suam5uxZ88eTJgwoUf7a6We7uSplXqWlpbi448/xvnz53Hr1i1ERUVh1KhRWL16NUaMGNHt/r6uJZuAh1RUVODEiRNIS0tDWFgYzpw50+vXCA0Nxa5duxzGwsLCPBWiR7ib55UrV7B48WKMHDkSb7/9NiwWC7Zs2YLFixejqKjIL/JtbW1FXl4empubsWHDBkRHR2P37t3Iy8vDH//4R6SlpXX7Gv5Uy1WrVuHSpUt4+eWXkZiYiKKiIqxatQrvvfcesrKynO5XW1uL3NxcxMbGYvPmzdDpdNi+fTsWLVqEAwcOID4+vg+z6J6rebbbtWsXQkND7V8bDAZvhuuS7777Dp988gnS0tIwceJE+2PUe0JL9XQnz3b+Xs99+/bBbDYjLy8Pw4cPR01NDXbs2IGFCxeioKAAo0ePdrqvX9RSkANFUez/3rVrlzCZTOL69es93n/dunVi3Lhx3gjNo9zNc82aNWLy5MmiqanJPnb58mWRkpIi3n//fY/G6qrCwkJhMplERUWFfay1tVVkZ2eLpUuXdru/P9Xy5MmTwmQyiSNHjtjHVFUVv/jFL0ROTk6X+27evFmMHDlS3Lp1yz529+5dMWbMGPHrX//aazG7wp0833nnHWEymUR9fb23w3Tbg79/R48eFSaTSZw5c6ZH+2qpnu7kqZV61tTUdBirr68X48ePF6tWrepyX3+oJdcEPESWA+NH4k6ebW1tOHnyJHJychw69OHDhyM9PR1HjhzxRIhuO3bsGEwmE5544gn7WFBQEJ566imUlJSgsbHRh9H1ztGjRxEREeFwSFySJMyfPx9Xr17F5cuXne577NgxZGZmOpymGTBgAKZNm4ajR496Ne7ecidPLXHn909L9QyE99PY2NgOY5GRkRgyZAhu3brV5b7+UMv+XyEfaG5uRmZmJlJTUzFt2jRs2rQJTU1Nvg7LY65fv46WlhY8/vjjHbaNGDEC1dXVPoiqo+rqaphMpg7jI0aMgKIouHr1arev4S+1rK6uRnJycoc31fZzjlVVVZ3u19LSgu+//97pz6G2tha1tbWeD9hFrub5oNmzZyM1NRVTpkzBq6++6lf5uUtr9fQELdbz7t27qK6u7vQ9sp2/1JJrAjwsJSUFKSkpMJlMUBQFJSUlKCgowLlz57Bv3z6/O5/lCrPZDACIiorqsC06OhotLS1oaWmB0Wjs48gcmc3mTmNsH6urq+tyf3+qpdlsxmOPPdZhvD2X9po8rL6+HkIIp7Vq37ezv2Z8wdU8ASApKQkvvvgiUlNTYTAY8OWXX2LHjh0oLS3FRx991OnPQGu0Vk93aLWeQghs2LABqqpi6dKlTuf5Sy37dRNQVlaG5557rkdzS0tLERMT4/b3zMvLc/h66tSpGDp0KDZs2IBDhw5h7ty5bn+Ph/kiT+D+YVpXtrnC1RzdidEXteyKO7l4uh7e5Gqe8+bNc/h60qRJGD16NJYsWYK9e/dixYoVngrR57RUT1dptZ6vv/46jh07ho0bN2L48OHdzvd1Lft1EzBs2DBs3LixR3PDw8O9FsecOXPw2muvoby83CsfHH2d54Nd6sPMZjOMRiOCg4Pd/j4PciXH6OjoTmOsr6+3b+8tb9fSme5ycfZXUVRUFCRJclqr9tf2F67m6czkyZMRFxeH8vJyD0Tne1qrp6f5ez23bNmCnTt3Yv369ViwYEGXc/2llv26CYiLi+u2EH1BCAHAe4tk+jrPpKQkGI3GTs/9V1VVdXkezFWu5JicnNzpOeTKykrodDoMGzas13F4u5bOJCcn48iRI1BV1eF7t+fX2XlFADAajUhKSur051BVVYWYmBi/OnTsap5dEUL0mwVqWqunN/hrPd9++2289957eOWVV3p01NJfaul/P8l+6ODBg1BVFenp6b4OxSMMBgOysrJw+PBhWCwW+/i1a9dQXl6OWbNm+TC6H82cORNVVVX45ptv7GNWqxWffPIJJk2a5NJREV/VcubMmWhoaOhwnfWBAwcwdOjQLm8sMmPGDJSUlODOnTv2MbPZjBMnTmDmzJlei9kV7uTZmc8++ww1NTX95ncP0FY9Pc1f6/nuu+9i27ZteOGFF/DLX/6yx/v5Qy379ZEAV1gsFpw6dQrA/b8YAeD06dOIiYlBTEwMMjIy7HOzs7MBwP6GdfPmTaxduxZPPvkkHn30USiKgtLSUhQWFmLMmDGYPXt2H2fjnDt5AsCaNWvw9NNPY/ny5ViyZIn9ZkEJCQnIzc3tw0ycW7hwIfbu3YtVq1bhpZdeQlRUFPbs2YPbt2/jd7/7ncNcf69lVlYWJkyYgPXr18NsNiMxMREHDhzAF198gW3bttnnLV68GGfPnrXXFACWLl2KgwcPYtmyZVi5ciX0ej22b98OvV6P559/vk/z6I47ec6bNw/z5s3D0KFDodfrcf78eXzwwQcYMmQInn32WV+k06Xi4mIAwNdffw0A+Mtf/oK6ujqEhITYb4qk9XoCrueplXru3LkTW7duxbRp05CZmelwqiIoKMh+UzJ/raUk2o9vEgDgxo0bTm9PmpGRgYKCAvvXD39w1NfXY/369bh06RJqamoghEBSUhJycnKwbNkyn6+Wf5A7eba7cOEC3nzzTVy4cAF6vR6TJ09Gfn4+Bg8e7L3Ae+nOnTt4/fXXcerUKfttg1966SWMHz/eYZ4WatnY2Ii33noLhw8fdrid7owZM+xzOnujAYBvv/0WmzdvRllZGYQQGDduHNatW+eVUzfucjXPF198ERUVFbh9+zZsNhvi4+ORnZ2NFStW+OV5cme3lE1ISLD/P+wP9XQ1T63Usz32zmihlmwCiIiIAhTXBBAREQUoNgFEREQBik0AERFRgGITQEREFKDYBBAREQUoNgFEREQBik0AERFRgGITQEREFKD+H2g9p/XcBwlgAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "noise = np.random.uniform(-1.5, 1.5, (50, 2))\n",
+ "data_noise = np.r_[data, noise]\n",
+ "\n",
+ "clusters_connectivity = AgglomerativeClustering(2, linkage=\"single\").fit_predict(\n",
+ " data_noise\n",
+ ")\n",
+ "sns.scatterplot(\n",
+ " x=data_noise[:, 0], y=data_noise[:, 1], hue=clusters_connectivity, palette=\"tab10\"\n",
+ ")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "4c7927fd",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import DBSCAN\n",
+ "\n",
+ "clusters_density = DBSCAN(eps=0.2).fit_predict(\n",
+ " data_noise\n",
+ ") # Does not need number of clusters\n",
+ "sns.scatterplot(\n",
+ " x=data_noise[:, 0], y=data_noise[:, 1], hue=clusters_density, palette=\"tab10\"\n",
+ ")\n",
+ "plt.show() # Can handle outliers\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "6b17e3dc",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "7d75e468",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "celltoolbar": "Slideshow",
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "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": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tp/clustering/kmeans.ipynb b/tp/clustering/kmeans.ipynb
new file mode 100644
index 0000000..9fe274f
--- /dev/null
+++ b/tp/clustering/kmeans.ipynb
@@ -0,0 +1,974 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "5a26d281",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from IPython.core.display import HTML\n",
+ "\n",
+ "HTML(\n",
+ " \"\"\"\n",
+ "\n",
+ "\"\"\"\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "d4ab1a0f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "plt.rcParams[\"figure.figsize\"] = (16, 8)\n",
+ "sns.set_theme()\n",
+ "sns.set_context(\"talk\")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "92b42e41",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "# A partioning-based clustering algorithm: K-means\n",
+ "\n",
+ "## Outline\n",
+ "\n",
+ "- Algorithm\n",
+ "- Implementation\n",
+ "- scikit-learn implementation\n",
+ "- Choose K\n",
+ "- Data preprocessing"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "68ece225",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Toy data generation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "a327ab4d",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets import make_blobs\n",
+ "\n",
+ "n_points = 250\n",
+ "data, labels = make_blobs(\n",
+ " n_samples=n_points, n_features=2, centers=3, cluster_std=1, center_box=[-10, 10]\n",
+ ")\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4ad865a5",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## K-means algorithm\n",
+ "\n",
+ "__Objective__: Find _cluster centers_ or _centroids_ representing the different clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "5c1cba55",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a3de7f5e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "#### Formulation for M data points and K desired clusters. \n",
+ "\n",
+ "We call $c_k$ the centroid of cluster $k$, $a_{ik}$ the membership variable and $d(. ,.)$ the distance metric used.\n",
+ "\n",
+ "$$\\text{Minimize}_{A, c} \\sum_{i=1}^{M} \\sum_{k=1}^K a_{ik} \\times d(x_i, c_k)$$\n",
+ "$$\\text{subject to} \\sum_{k=1}^K a_{ik} = 1, \\forall i \\in \\{1, ..., M\\}$$\n",
+ "$$a_{ik} \\in \\{0, 1\\}, \\forall i \\forall k$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0054eea7",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "#### Solving with the EM-algorithm\n",
+ "\n",
+ "- Fix K, the desired number of clusters\n",
+ "- Initialize the K centroids as random points from the dataset\n",
+ "- Repeat:\n",
+ " - Allocation update: Choose the new allocation as the closest centroid obtained at previous step\n",
+ " - Centroid update: Compute the centroid of the new class (mean), defined by the new allocation obtained\n",
+ "at stage 2\n",
+ "- Stop when the centroids are not moving anymore\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "888d9a4d",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### Demonstration K-means\n",
+ "\n",
+ "K=3\n",
+ "\n",
+ "#### Initialization"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "87f3cd19",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "centroids_idx = np.random.randint(0, n_points, 3)\n",
+ "centroids = data[centroids_idx]\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "833cc340",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "#### Allocation update"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "28e72b56",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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iNg3Wx1dh0qrpHK/WihJdhX72l6jPHw+2HzphEtscTXTib6jyivIG6SHHUFz5IfrOI8DPBs8CmHo1sX0vhWGHk/ajrX5vhBBtSDtUHzglbx1YZQ1e962pPnAKaKfDpvTb3/5fsz/fdNP1APTq1Zv773+s3caVAFYIIYQQXUqJW4tz73Go+e/BZjvADmdAohuEYnDyo/De7ZCpbPUZqrEWaH0ZNOXW4Sz5BOfzx8HkMGWDsSOOoMEpwRl9Knra1Xnvs1scTKNONAtgY06W+PdvoB89DxqbthfrLQ+mZJ9LqcoVtXiO60DSLEY/9yfU54+B8XB7jCA06U80dNuOej9KUtfg3H4ILP2y6UY/i3r/dpylsyg+7FZq/JbPLlK16HuOXRG8rkw//QuiA3cj4/RdpxVqIcS6sfFuVB35OOE5LxOZ+SA6sxQTK6dx2OHBymsHBq8Ar7/+doeOt5wEsEIIIYToMiKuQU+7Kghed/sFlGwOr1wKFbODDgN3g0m/h/ol8P4dBZ9jhh+AtZYipx7HehjlkqYY3w+izpRbT+izB1B9R0GPLYIV015bw9w3iPUciR13Hvab11ALPmj+4LJBmEl/JuOHV1xSShHPfIe+/2RWjQjVZ4/iOhESe15Cvdd8xTNJBc5Ne0K6ouniok/Rdx5J9NDr8QcegPP9B82D15WfPXc6bv18VGw4dqVxHUej5r0D2fqC3x/99o2Ed/4djbmCXYQQ7UE7ZAfs2eVL5bRGAlghhBBCdBkxWxNk/x26NyS6wyPnNe/w9Stw60Fw5gvQayQs+LDlQ7oNRXUbSvL7l9CvXQaVX0PpAMK7/Jxc7x1JU4RbNwflZ+HWg8F4TfduNga9z1/J0g1zzN04Cz9Av3crGA9/m2Ox/cZTbVLNAsa4bkC9ckmL4HU59ckDRHb/LfU0BbAR16Cm/ad58LoS/cxFxM7dA/3xfa1+v9TMJwmN2bLZVmmtFapyduv3Vc5G2xytbW8WQoj2IAGsEEIIIboMZbxg5XDM6fDoD/N3ytbDq5fBYddjn/k/1OyXl92ssIP3xB5wJbx7K/rVS5vuyVSi7z2R0JgzKd71AnR6Kbzwx5bP/u5teOVS3H0vZantgdNjAuH9xoO15AgvO5vaPFB1bQNq3owVc6D3dhAtCUr7VH4dnHOrW4BKlK2IcaOmFv3xA4W/EZlKdC6NdcKtb4R2oi3iZt832J5bt3YXptdIfBVu8bUIIUR7kwBWCCGEEB1OKUU4HJzX8jwf31//QCjkWByAWCm40WCbcCEzn4JtjsLufxlGuUFQGy4iqxOEc5U4y4PX7sNh8B6gHPjuLfTbN6B2/hFM+2/hZ3/5PMr6KBXEo74K4xu7Yvvxqiw6mPOACcF53fnvQd0i2PaY4Przf4RwnmRLtvUEUzZbjx11Cs4HdxXus8WBeF7z5xhjsd22DM4N5/seage73UlkcxK8CiE6ngSwQgghhGhTUdfgmgxGhWiwEYwJAh3H0YAlQR1uej56+p2Qy2BGHIbpPoIak1zRd21prSjOzkG9fiVsf+oa3WMT3WjUSer8OLjdwEDYdYh8+B+Il8FB/4aGKvjs8aBO7JYHw+6/hlwGFn3S+sPTSyktjqFmPQtV32L7bo/tvT21lOCtEqxndIrQPn9D186HKYc1T5xU3AuOvBkT7wYrXc7qBKHhB6Dem5J//EgxNpLEj5ShB01sWmVe+evf5hiy4bK8cXAtJSRPfARnykHNtyk7YcxRt5HWpdB6/CyEEO1CAlghhBBCtImo4xH3l6DeuBY9721sojvRcT/CdhuK8hrgu3fRTig4Y/r9+/DBXZCtw3n/dpxuQyk54WEqbWqdMtvGVT3Okz+D72bAMbeDEy68ggjYLQ/GFvfF9XNEXZ8GL1gNVkqhGmrhyFvg+d8Hq6HLffUCpDaDkx6Gop6tr/BGkzjXbA9+Y9O1WCnJkx+nJjKgWRCb8wyqpB/cdUzz87QAtQvgwbNQpz7b7HKD7xLb+Wc4nzyYN9mSmfgr0hST9TWpg6/D+fBO9PRrgjkn+2J2/ine8IOpy8XzTt/zLTWRARSf9Rp6wYcw/10oHYgdMIE6W0TWl18hhRAbhrK2cyVAN8aydGmBumptJJWKAVBdnWnXcYToSPJei65K3u2NQ9gxFC+Zjr77WDDLlua0C0ffiv3kEdRH9zZ11i7s/BPY5mj4/HF46WKwBjtsPzL7Xk29H1nr8cvUEpyrtwv+4EbhiBuDcjQPT84z2SLsKY+h7joWvAbM1kdid/oJNZRjUZSkv0B/cj9MvSbvWHbcedBra1S+ZwN0GwoTLoIHz2zZluhO7oyXqfJTwVRcSxE16Jo5qFw66PPuFPj04Wa3+ac8RVVyZLMV6pBjKc7ODQL3OdOCi8W9Mbv/muzAfaj1Yk1fckgRN9UofAwOaZUi563Zr4COo9FaYa1dUV9WiHW1Kf3MXrp0IQDl5T038Ew2Lqv7vpSXF6F14dP77frx2aeffsrVV1/Nhx9+SF1dHX369OHQQw/l1FNPJRwOr/4BQgghhOgUEqoW/cDpTcErwDZHwTdvNA9eIVhlfO1ySPYBHYL9L4Mnfoaa9QyRfeqpZ+0DWLvyyqXXAPecEGz3Pfx/8Mrfg1IySmEH7Y7a5aeo534LdcEvUfrtG+HTh0ie8RKVtjxYuX2vcIkdNf0/2J98hB22D2rmM80boynsIf9BPfqj/DfXL0YvnYku25GYyhD9+hn0c79pqksbTcGuP4c+o4IV4OVjLv4MXbJtswA25yuqQpsTP/Q2wiaNNR7WjVOvS8jlmgea2ZwlS3Ll71jhb+YqfN/gy3ZhIcRGot0C2K+++opjjz2WgQMH8qtf/YrS0lKmTZvGlVdeyZdffsmll166+ocIIYQQYqOntUIt+hQaa5s3bHMk3HtK4Run/Qf2/VtwxrLbUFgyC3JpcMrWeg7WjQfnRWsXNF186WLYbEwQEKb6YVObob58AR46B2rmN39AugL96t+JTrwYYxW6oaqVwSyqei5sdThsczT24/tRjbWYIXvDVoehp14Diz8P+kZT0HPrIOHS/PfBa0At/oxQz52IznsL/egqZX4aquG538EBl8OAXeCb14MhS/rnPR9sjKWOOBAHRXAutUCyKCGE6AraLYB98sknaWxs5KqrrqJ///4AjB8/nvnz5/PEE09w8cUXEwpJ7TAhhBCis1NKoeoX52uBbCvHfpZ+BcW9oWoubHscvPgXCMVhHeKvepUiuduv0I//uHnDd2/Dd29jjr8f6xucJ39e+Ov4+H5iE3+FCcVg99+AdqBmHnz8QNMKKUAoBl5jEAiXDkQN3xdi5dhtjqXexij2G1HhItjrT1C6OcyZGmyb3v3XMHc6lA0m6legn/9d4S/ojX/BpD8EAWw0he2+JWYNt/wKIURX1m4BrOsGjy4qKmp2vbi4GNd1cRynvYYWQgghRAcyxmB7btWywVnNB9XhIqj+DqJJKO6F3eIgGnVinQLYnGfJDt6P8D6XoF/+a9NqcKwUs8/faei2HRGvovWH+FmcbC266mvswo9QVXOgbFBwnnb2S/DmVUG/kcfAp48E/7vy6xUldVRDFex4EWaHc3BGHBwEoatm/932WBh5PNprDLY1F1I1Z0U5IHPcvdTZZOG+XZjjKLTWcv5WCLFCuyVxmj9/Pocddhhjx47lwgsvXLGF+MILL+SUU07h/PPPX6fnWmvJ5dr3IIbrNtWlE6KrkPdadFXybm8c3Mal6DuOgAUfNV3c4zfBCmKeEi4AjDkj2DL8/Qdw8FXY4j7kYj3Wax7aZNGNlaj00uBCrATrRDGhYpzMQtT/9oDlbavqNxZ2uwhuP7xl295/CQLO6u9g3Llw93HBKuzKEt0wZ7+OdcPol/6CevumvMPYA6+EIXuh/jUSbOGgzJ7zOsRSeNHuWL1p7VpTCpz0ItTCT+C7t4Lsz4P3wI+UYJzY6h8gNlqb0s/s776bi+f5dOvWa0NPpc3NmPEWTz/9BB9//BELFy4gmUwxYsRWnHnmOQwZMrTVe5csWYDrOmy2Wb+87aGQg1IbIIlTnz59uOeeezjvvPOYNGnSius/+MEP1jl4FUIIITZFCovTsCQIdpTGj3ZfixQ8HcOLlBM69i7U3cfDgg+DizNugCNvhoWfwKpbjLsNg60Ph9uPAK8BG++23sErgNFhcOM4DV+jXvg9fPc2KpxAHXkTzJ0BO/24WXKkFZSCSX+ER87N/+Dnfof94QzUly/CPSe2DF4BvCxgUbkM6v07C85RvXY5Zti+MHRv1Myn83cauBuqZh62uPcmGby6VbNRtx64ItEWANrFOew6GLw3xs1f/keIrs63Pm8tmsaz3z1DVbaCknAZe2+2Dzv2GIejOm6H60MP3U9NTTXHHHM8AwYMpKJiKXfccRtnnHEy11xzPVtvvU27jd1uK7Dz5s3jjDPOoHv37pxyyikUFxczY8YMrrvuOs4444x1DmKljI4Q60bea9FVdfV3uyRUj/PJfeipVwW/zKf6YXb5Gd7QA6guUMNzQ9FaUaRqcRsWB0mMinpiu22BYxpQ798R1FHVIdjyIOi+BTxyHtR+D04I77z3qVxWWmZ9hF1D8bdPoR8+p3nDKY/BrQfBfpcG5XXevCpImARBNuQ9/wC9R8J/xhV8tt33b6hZz0FDJfQdE2Rc/urFYBsxYLc6gvSky4hmF+P8d8dW5+n95BO0l0HfuGfTPJaLFMPx98LjP8UecwdL7KZVgqPEqSF06z5QPbdlo1L4P5hOpdNnneoFiw2vq//MXllbl9GpbKzglzN+zsyaL9BoDGbFv4clh3PJDpdTGln7JHjrNJfKCkpLm49VW1vLUUcdzPbbj+Hii/9R8N6NtozO5ZdfTn19PQ8//DDRaBSAsWPHAnDNNddw5JFHstlmm7XX8EIIIUSnl3TqcB//MerLZ5suVs9FP/FTQiOnUzTxT9T5G08Qa4ylhiJUuAjdbzDWWkzWUuRArLEWhu4TZOP95CH4bsaK++yIw2hQbfN1JKhFP3VhnsktK7Pz1C+C7MFH3gSoIFFTQzW8dT2U5VmZXVnN99gDr0TNfAq+egmcMOzxa1AanvolZreLyPghIm40uFZoe3CsFGvBc4sIn3A/vHtbU6Kn/uNgx7Nh3nvBtmXjox2VNwPx2tBaEVf1hG0achlsOEGjKiLjhzeqQFApha6Zkz94BbAW/da1RHb5Aw2e7tjJCbEB+dbnlzN+zqyamQCYZckClv97Vs1Mfjnj51yz8w0dshK7avAKQa6jfv36sWjRonYdu90C2E8//ZQhQ4asCF6X23rrrTHGMHv2bAlghRBCiAK0Vrh1c5sHrytRH95NeKfzUW58owpAAKwNaocul9NxoiOPQd1yQMusxIluMPGXNPjrv01WKVC13wcrrPkmFU5Ath4+eTD4Z2XdhrZ6HhWA/mOD+q5fvxL8OZyA8iGwxQHYE+5BKUWxriOnkzjD90d9/njex5gdziKjk4RMBmY+A2NOD0oO5TLBavDnT8BrlwXblPvvROnhN1Jhi9f579lxFCm7GP3oj1HfvBpc1C7OiMOJTPojVd66P7utOY5CLZnZah+16BMc0wBsPB/eCNHeZiyexsyaLwq2Wywza75gxuLpjOuxUwfOrEllZSWzZ3/FpEn7tOs47fbRVY8ePZg1axaZTPPtAe+99x4APXtuWtthhBBCiLURcjX6vSmt9lGfPbIiIcrGLGaqUS//DU68H7Y7AYp6BOVzdjwLjrkdO+9dXKeNfiXxs/mvf/wAjD658H3jzgM3CpEC2X6LekK8rCl4jRTDsXdB5Tdw096o6yeir9mByN2HE2mYj9n3Migd2OIxdrMdMaNPpzGnsNrFlg8OtjbfdgjcdSxcv1uw/fqoW8EJo+a8iXr6FyScPGdu11BSVePcekBT8ApgPNTH9+I8cBrFun2PZq0NYyy2pH+rfWzJ5hgd6aAZCbFxeG7eM+jVhG4azfPznumgGTVnreXSSy/GWstxx53UrmO1WwB78skns3jxYs444wyeeeYZ3nzzTa688kpuvPFGdtppJ4YPH95eQwshhBBdgvJWc0bMy9BKosYNRmtFkZOmTC2mrHEmbv18mPlUkLDJCcNef4Y9fxds3b3tEPTrlxE11S2eE3YhqWtI6Wpirrfar9VaINUvf/meD++BAbvANkcHS7XaDeq5ahcm/hJMDp7+PzjqliBYXVnpAOzJj6KeuKDp2p6/D8rkfPJgcBZ2uUWfom/ZD6yHd/IT+EfcDMP3gy0Pxj/hQfwjb8U3hqRbT7R6Furhyc1Xpa0Ngu0vnoIxpwGgvniCiK1t/YsvwHU1+ptXg3q2eai503AzC9vtPVJKEQkpoiG7Rh+2GGMxZUODEkKF+ow7jwa/3TYRCrFRqspWrtguXIjBUJWtbLVPe7nmmn/x2msvc8EFv2TAgJYf3rWldvuvf9KkSdx8881cf/31/PGPfySdTtO3b18mT57Maaed1l7DCiGEEF2C51vMVkeiP7qvYB87/ICNrjam1ooSVYHzyDnw7ZvBquV+lwaN2Xp45+bgn5Vl61Er5VXWWpHS1egP70K/PwVyGUKD9yS2y8+oc7qT9QsHQhmKiI+djH7z380bjAeP/BDOehF2uxAy1eA1BAFv1bdBULvNkUGgd/KjULsgWAkt6Y/puRXW83AWfhw8KxQPkjg9eUHLCQA0BHOvGTkZs9k+hDbbA601EVuHfuu/uJ8+DON/iF1eSzafD+6CEx+A6deBNahMJYS7Fe5fQIgc+vNWxgHU7JdwtxnW5mUKi516Qun56HduQmUqMUP2wQzeg1pbgucX3rNcR5LUcfehpxwclFlaidn9NzTG+mBbuV+IrqgkXLoiYVMhGk1JuPCHP+3luuuu4e67b+cnP7mA/fc/qN3Ha9ePr3baaSd22mnD7MEWQgghOjPfN/g9R6LLhwT1R1dh+4zCL+qH2ch+kU/qGpzbD4WlXwUXMpXBuc5WkhrZgRPI6TjLfy8r0VU4tx0QbM9dRn1wJ84nD1B08hNUF41odsZ2ZRk/RHiHH+JGkkEQu/w8bO/t4KB/BsmRnvk/qFuWZMQJw6iTYOAEeOsGCMeCMjtKQ7wcYmVkD7kZ11FBXz8LPUbAwo/yjr9ivrOeJTryVGq8GL5yKfUW4Nw0Kfh+AKT6oua9U/gBfjb4R6ll53eLWh2vEKs01o3S6gJrKNbmZ2CTbprQK39Gv3/7imv688fR8TKSpzxNdWizgn+Hnq+oKRpO8eS3UJ8/gp47DVvcF7P9qTSGulHvR/PeJ0RXtlfffXjp++db7WMwTOrbvudPV3XDDdcyZcrNnHvujznqqGM7ZExJ3yaEEEJspGpMEv/Eh7HDDwgCKgDtYrc5Gv/oO6kxxRtkXjE3R6mupMzMp9SpJO7mgl25WqGXzmwKXiEIvr58EbY+Iv/DnDBmp/NXbAmNuAY143/NgtcVvEacRydTRMvtxiur9uLUbXs2/g+mYs98MSihs+M5kKmCB89sCl4hCBLfvhHmvAmbj4d570K6AuqXwOIvMNufQUYnaVDF2JHHBPek+oCzmjOY4QRKBVFh3GlAP/frpuAVgtXoVrbJLv/eYC302gbPTbTet4CsrzHbn95qHzt4Lzyv7VZfHUcTWvB2s+B1hXQFzv0nkVjN32HOV1T4JdSMOJ3aff5D7c6/p9LZTIJXscnaofs4hiWHowp8HKVQDEsOZ4fuYztsTjfddD233HIDZ575A44/vpUcA21MAlghhBBiI2WMpdIvIbPPv/B++D7+5Gl4P3yX9O5/W5Y5tmNXX5WC0lAtiVd+i/uf7XH+uyPu1aOIP38hpU41oZCTP2vy1KuC7bnbHR+cOV2upD/mpEepc7qvWAGM2jr0+7cF23QT3Zv3B1gyC8dbfdKhxpymTpdhP38iSJJU9U0wj0KZht+5FbY6rNklu/VRsPl4QjTS4Lv4u/0aO2ACVH4LvbYJAsxCtj0OTwXBVtikUbNW+b58+ggsD4jz6T4cquZAvAx72P+otetWI9cYi186FDto9/zt435Io27bD0Ji1KHfuLJwh8Vf4GZbD2CXy+V8GnKKxqy/0WRKFmJDcJTDJTtcztDkMIAVCZ2W/3tochiX7HB5h5TQAbjrrtu56abr2WmnXRkzZiwff/zRin9mzvy8XceWE/BCCCHERsxaqPej1BMFXQZte0xxrSR1Hc79J6NWquGK8VCf3I+z6GPiJzwM0ZKWN3qNcM9JMPYc7FkvYb0cNhTHDyeppwRvpa2k2nHhoH8HwWGmElKbBauir1/RtILp59boNxjPM0HA+frlQcD55lWtdG4IVlVHHIoNJ2D7U1FLZ6Nu3ofEgF2J7fJz6mx3oof8DzezGO2EUUfeDG44CLKVA7NfgndugW7DsH1GLVtVNkGCqFUD55lPw0k/gFnPwqJPm7eF4rDfP7BV38JZL1OryvFzax+9hV1LxNRhjMI/7Ab0R/egp10DtfOh23DMrr8g129X6r3YWj+7NdrmCiaNWiG9BJXcTIJSIdZCaaSMa3a+gRmLp/P8vGeoylZSEi5lUt992KH72A4LXgHeeCPIav7mm6/x5puvNWvr1as399//WLuNLQGsEEIIIfJyXQfHUcEqnm9w6uY2D15Xtvhz1OJPsNscBS9f3LLdz8KbV2G2PprK2LAgcPGBlRKShB2DU/0tPPULqJnfdO+g3eGYKUEQ7DViI8k1CuSNsZjyYTilA4MANVLUIinQymw0hd3vUvQXT8LdxwXbiAH1wV04nzxI8cmPU128FX44QWmoDv3dDNTbN0JjLWgHhu0Hpz6B9RrIhVL4ueBrM040SBZVPXelyfnwwJlw2LWw4GP4+H7IpbGDJ8HYszFuHPqMwdcRGquDbNRKQczJEjF1KL8R60bJqCQNXvNfWl1HkaQS9d5t6M8eAe1iRh6P3eowsiOOQFsf3yrSKtUuScB8FcGWD0Wt/He4qqJeErwKsQ4c5TCux04brNbrcldfff0GG1sCWCGEEEI0E3IsxVSjvnoe9d3b2PIh2G2PR3/xeKv36Y/uJbv3pajxP0JPbbnaabY7kVy0J7ZA8FlkK1G3HRQEmyub/VJwbY/fYqrnkVFrvuW1xiQpOfFhnHdvgm2OgqnX5O9YOhA/lERPvy5YsV2V14h+ZDKJEx7D1y762V+hPnlwpS/Oh88fh4UfwymPU+M1nVlNqxLcib9GP/KD5s+sWwhTDsOc8BC5o4/GGkNWJ2j0NPiQijadsw2yO1ein/klauaTwXihOIntTyU67idU5RIr+iX973Fu2qvZmVv93K9hxnVw8pNUmpJlwWP7ZLDO2BjRCRehltfMXVW/Hcm5xRt0N4EQovOSAFYIIYQQK4QcS7Luc/SUQ1asViqAOVOxPbdq/WYnQqMfwe74I8Kb74J+7VKomA0l/fF3/hle33HUevG8t0Zci5pxc8vgFYKzsL1HYjffGRMtpzG75tvkjLFU6W4UbT+ZsMqivngqmFOzeYcwh/wXqxz0e7cWftjSL3G8ehxs8+B1ZZXfYL9+HWfAwStWN3OeITtgT8J7X4x++RIYuCsM3hPcCKaoJ9luW1PrxVAKongU63qMCqFUU3bglK7Bue0gqPy6aaxcGj3tP6ilsyne/9/UenFiKo1+8ufNE0YtVzUnqLm76x/JeO231dAYS2PJMCJ7/gH94h9pttTabSj+YTdSb4sAWYIVQqw9CWCFEEIIsUKRqkHfcXjLrbZzp6HGnhOcRS3AbHcSOc+n0cRxeuxK7PDtcPAwyiGjkq1uVw2ZNPqbV5tfVAp2/w303Ao+uAv1yGSc7ltSOu48MuFeZPxWkiitPC9jqaEoWMU8+XHUB3eh37sNcvXYQbtjdr2QOrcncVMXbAdujdao2S+33uXjewkP2BuPpvnVejGiI06maMTB8OG9qOnXgp9DDd+PUPlw4iGXaHYx+o2rgm3a8XLsTj/C9tke102g57zRPHhd+ds062lCjUtRbpyITRde+QTUh3cT2eVCMqxbUqg1VedF8bc6idiWhwaJvTIV2AG74acGUGuTGCPBqxBi3UgAK4QQQgggKH+i5r+TP4hrqIYlM7FbHoL67JEWzXbQHnjJ/hgvCEx831DHyqVfWt+uapUL0VWCql0vCOq43tVUW1DNexfn/TuIH3w1dsD+NKxhEAtBIFthkoS3/QHRrY9DYcnqOA1+COtDyAnj9h9fOEANxbChBEqvZvVSKVip1IXWiiJVR9irQVXNDcr1+I0w7VrU9Gtxqr8jPuok1D3HB1uDlz/m2zdg+AEU73cZ+uN7Wx9y9ks4W54GuWzrc/MaUIX2cLexjB8hQwR3+EkoFbwTQd1iCV6FEOtOyugIIYQQAggCLbX4i8Idnv89auzZ2H0ugeJewbV4OWaP3+Ed/F9q/XWrVQrQQAwzdnLThXARDNgF3vhX/rk+9mPidjWrpQVkc5Yak6TapMh4oRU7XDM2jtnj98sC0JbMjj8gY6LYAbu2+nx/1Kk02uD8qusoSvx5RO47GnX1DnD74XDLgbDwUzj2jqAW7JjTUQ+e1Sx4XU598QR64ceQ6t/6F6VDgA2SP7VWX7Z8CL4Ktf6sNuZ5PrmcL6uuYpOjtcZ20AdGnYW1FmN8VIGfs2tCAlghhBBCAMEKpe2+ReEOXiNm1guktz6V7Gkv4v34I3JnvkbtNmdTlUusV1ZZ3zd4PUZih+4dXBi6F3zWShkGa1CznsV12+4spzGWTHxzzNF3QLy8qSG1GfbYu2H7U4jnFoETxo45M/9Dem6F6TMGf1lpoKSqwrllX/j+g2Zz5/PH4aWLYb9LIVMRrDQXoKdfgxl9Sqtzt4P3wPMMaZXC7HR+4a9x99+SVu27fVgIEQiFQnhejvr6wv99b0qsNdTVVeP7OaLRdS/fJVuIhRBCCAEEQaTtMxoiyfwBldLY7U4g3eADyTYfv9orIrX/VThz38Cp+hoWfNj6DbXz0W38UXzGD+P13JXEma+hM0sAhY7E4akL0bNfChISxcqwx9+H7bEF6vUrgpI/4QRm1EmYcT+m2k8ClpCrUF88DumK/IPNmQZ7/j7IXNyadAU2VortMwo1/70WzWb702h0gtJCWQ9y2xxHKL0YPf1aMF7QyY1idv812b47tUvpHCFES4lEilwuR21tJZlMHaoD67RubKw1+L6HtYZoNE4stu47diSAFUIIIcQKdTZJ8oQH0bcfAtn6pgalMYffQNopbdfyJ9VeArffvsQHNBL+7D7Upy3P267Qb9yKlc62lPMVVSQhnKTMrUbdMBHqFweNyT7QY0vUC3/AbHEQ5rRnscbHKpeMKg5K4Cw74xmyDeiZT7U+2Jxp0G/HVruYfuNIqxSxo+9Cz7gO/c5NwZnk1GaYnX+GN+xA6nNNqxk1uTixHX5GbIdzYMkXoF1s2RAyFNHgya9+QnQUpRQlJd2or68ml8thzKb74ZHjOIRCYWKxBOFwdL2eJT/FhBBCCLFCzlfUFA2jePJbqNkvoua9jS0fit3iINIUr1XSpHXleYYaL0TZ0P1xXvxz/qRSRT3xe2yN77ffucqwC+rj+4PgNdkH9rkkaPjuLQgn0L22wmCpMOV577fKgdBqtsk5IahdgO23I2ruW3nb7Y7n0JBTNFBEZMzPiG1/Jsr6GOWSVilyuZbfg4wfJkMYXT4ea8G24/dJCFGYUoqiopINPY0uRVm7PidWOp4xlqVL69p1jFQq+D+b6upMu44jREeS91p0VfJutx/X1TiOxhhLLtfxiUhCDiTTX6LvOqppBRSgZHP84++n2u3bLiuwyxXpemIPHAvVc+Ho2+Dxn8Hiz5v1sbv8lOyYc6nJtQxUtVaUVr6Fvv2w/ANoB055HDv7FRh1Ijx4FmrO1Kb2eBn2yFupKRlJ1t90tx6KrkV+ZovVKS8Pyp4VIiuwQgghhMjL88wGPS+Z86E6NoSiM15GV3+LqvoWWz4Ev6gvdZS0a/AKBNmIlYbxP4KX/9YieAVQr19JqP8uON3Gt5iPMRbTbUvUwN3y12ad+EuIJLF9RlOryokceiuhXCUsnQWxclTZAPxoOdma1ZTGEUKITYgEsEIIIYTYaHkGqkihirdFp7YLMiX7ltXVlW0LjaqIyHYnonsMh+d/X7CffvVvxA6/gzriTde0IqYbUNaiDvonfP4kVH4DQ/cOthXHy4Kt0fedDNsci+25K7V+HHQc3XMzrIVkbP3OiQkhRFckAawQQgghNnrW2nY977oqpcAlFwSciz5pvfPSL3FsbsUfw9qjKDcf/eKfUF+9AE4UTnoQsPDQ2ZCpDDr2GQX7/QNbvBme17RFW+qlCiFEYVIHVgghhBBiJdGQpUwvIVE/C131NXQbBtscGUS1+ST7YgjOqLquprjuC5zrJ6BmPg1+DrY6FL54Ep79TVPwCjD/PbjnRLQj51uFEGJNSQArhBBCiI1ayFWUODWUmXmU+d9R4lQTbqc9ZPGQT1HVh+g7jkTdMAluORCumwBlg+Hgq/IGsWbnn5LRQV3cuK1BP/ajpvqrACOPhunX5h8wl4Y3/kXU8fK3r8R1HWJujljIx3EKJzgRQoiuTAJYIYQQQmy0Yk4jyYWvE7plL5z/jsW5dhyhG3ej+JvHSDhtm8VUKUW8cT5qyqGw9MumhsYaeOXvUPE1bHtcs3vs1kfh9d91RbIr16+DJTObOrhRyNZBrvBc1cynCJv6gu2Ooyh1a0h9/SBFT5xF0VOTSS2eSsqtK7goLIQQXZWcgRVCCCHERslxNPHqz9F3H9O8oX4J+pHJRA+/kWy/fcl5bXNmNOY0wgt/C7b95jP9WjjjecjWYyNJzOjTyCX6UptrSt6EWaXckDWgV/PrlhOmta8gZRfj3HIA1MxruuWLJ9H9xlJyxK1U5opaf74QQnQhsgIrhBBCiI1SnFr0s78u2K5f+D1xW91m44VtBjX7pcIdsvWQXkpu38upnfh3KmPDqfUTzbqYUHGQYXg5f1kJnFhpwceakcfS6CTztjnZGvQTP20WvC6n5k5Hf3B7u22nFkKIjZEEsEIIIYTYYLRWqAL7YF2bhe/fL3xz9Xc4XrrN5mIt4EZa7+OEaPQdGrMGa1uum6ZVEjNxlaB7xg2wx2/zP7C4F3b702jM5f8eqFxtq0G1nv5f4ram1TkLIURXIgGsEEIIITpcwmmgTC+lZMmblNa8S6lbTcRZZfutUqBW86uKbrsMvg1OMXbksYU7JPtAUU8a/FDBLlkPskMPxuz7d4iWBBdnPgOZCuyJDwalcwDcKHb0KfinPUe1LSv4PNXK2VkA0ktRrW5AFkJEXEOpU02ZP5cyO5+UU4PrSBjUWcmmEyGEEEJ0qJJQPe4rF6Pevz04IwoQTlC0z99xB+5LvR8FIEsMZ/h+qM+fyP+gPqPJ6Tj4+ZvXVmNOk9jxHJyP74PaBc0blcLufzkZpwy7mvFqvRjh4ccTH3YgOlsNysUPFZFxSokceTcuOSyKRpWgwXexy78HedhwEcoJN21FXlX5YHxZjxCioKSbJvTRHeg3roDGWgCc0gG4B11NfcnWNPgSDnU28hNPCCGEEB0m5vo4069CvXdbU/AKkK1HP/ZDolWf4yxbGUmbKGbPP0Ikz/lQJ4zZ/wrSFLfp/KptGf7pz2N3PAcixaAd7MDdsGe8QKbnWOqza/arU9ZTVPkpKpz+VOg+VPtJslmfWj9BpV9ClZ8i47nk2YXcjImksKtkPm7WvutFpFVqbb5EITqUUhAOO4TDTsHjAu0l4togeH3xjyuCVwAqv0HffgjxxnloLam8Oxtl8x3g2IgZY1m6tK5dx0ilYgBUV7dten4hNiR5r0VXJe9251LqVOH+Zwx4Dfk7bDaGhsPvWJEcyXUsSbME/erfUZ8+DMbDDtsXs/tvqQv1Iuu33RbilUVdQ9QGZWpyhEibOMZ07K9My99tnV6M89h5qK9eaGpUCjPuh+R2/DE1XqxD5yXEmip20oSyS1GfPQxeI3b4AajSAXiRsg75mV3qVOFeN7558LoSO3QfMvv9h3q/9bPvomOVlxe1+sGCrJkLIYQQosOobE3h4BVg3ru4qmmPrucrKlV3orv/jcjE3wGQUxHSfhTrt19A2eBpGlh55XfDfd5f5RVRdMB/CGUrUF+/EpyfHbgbjbqYei+6weYlRGtSoTSh53+N+vi+potv/BPbdwzuMbcD7V/+SWVrCwavAOrrlwnRAEgA25lIACuEEEKIjuOsJuCKlbTYVmstZDyXzEYSUHY0a6HWT6DcBM4WJwPgeabNzv4KEXEtMVuDMjmsDpFRxTR6637SMBTSuJ8/0jx4XUbNexte+BOxiReT8QonRGsTajU7NEJxQLYQdzZyBlYIIYQQHcZzEtBrZMF2s/0ZZHTbnmvtKqwNAlfPK5z0SYi1VRKqp+jdfxG6fifcq7cjdO1YiqZfSmko2EK/LuKmCv3mlQXb1cf3EbXteyRQKfDDSSgdWLCPGXkcGdX+K8GibUkAK4QQQogOU08R/iH/DRIkrarbMMz2pxesibqpcB1FyqkhVDmT0MJ3KXMqiLuNG3paogtKOvW4j52Lfu0yaKgOLmbr0NOuxnngFJLOugWZGh9q5hfu4OdQubar4byykGMpcaopTX+Gu+Qz7PH3wu6/htAqZ8WLe2HHnrteK81iw5AtxEIIIYToML5vqY1sTvHZr6PeuRE982kIxTCjTsEM249qP8mmtD14VWHHp7j2c/SDZ0L1XAAc7RDf5hjCu/+OqpysFom2oZTCTX/fPDnYyu1zp+NUzUYnt13rBGYWBxLdoX5x/g7awboxaOPNBFEnR2LJ2+iHz4F0RXBRKeyWh8LJj6LuOAoAs+1x2LHnUU0ZbT4J0e4kgBVCCCFEm4mEwLFZfBWmMZe/T86HCsqJ7HgB4e0nBzVRdZJczrApB69KQZG/BH3bQc3rvhof9cGduH6WxB5/W1EnV4j1EQpp1HsPt9pHf3gXoYmjaMyu3YHrtE5RPO5c9At/zNtuhx9Io0qs1TNXRylFPPs9+q5jmpfoshb16UNY7eD/4A2MUWRU0bKVVwleOyNZMxdCCCHEeos5jZSZeRS/8ScSj59J0bRLKLMLiDrZgvc05jS1ppg6U0RuLc51aq0Ih13CYXedz+htjKKOj552dfPgdSXqkweI2PoOnpXo0lZXTXMdq21mcxZ/m+Oxg/ds2dhtGOx7CRnTtpl/Y04j+tVLmwevK1GfPAi+R5WfXO224ZADJU4NZd63lGU+p8ypJOYW+EROdDhZgRVCCCHEeonpRuKzn0A//uMV1/RXL8L0/5I4/EboO5EGf/2zjSqlSDq1ONXfoD99COuEsFsfhRfrRY3ftqs5G4Jr6oMyOYVYCxWzUaXdsOsYWAixXC5nsCMOhTf/VbCPGXnsWn24tLKqXILkgf/BrZmDfv82lNeAv/UxqN7b4EW7YbNtWwfWNRnU3OmFO1gDNfNRxeWtxuVRJ0di6XvoRyZD3cLgohMiPvpUwjtfQHWu8/+s6ewkgBVCCCHEeomZ6mbB6wrWoB86k/h579FA2XqPU+LW4Nx7PGr+e8Cy4hdTr0YP35+S/a6kqg1/sYy6Jigrkq0DJ4TnFAUJqNqx9qxFQ3g1Z1zDCTblbdai7Vhr8eK90YMmoma/3LK97/b4pUMw3rq/bzVeAl00gtDESwHwfEtRtH1qrlo0RFNQ+33hTpFEq8GrUop443z0XUeBWWnbtJ9Dz/gfrnKIjb+o/cv/iFa1+xbi6dOnc/rppzNmzBi23XZb9t9/f+655572HlYIIYQQHSAcdlAf3V24g/FRs54mFFpNPcbViLk5nJf/siJ4XZn64kmcj+8m7LbNfuJUqJ7EO//CvXYszrXjcK7Znsi9R5Fq+JqQ037BY6NOYsacWbhDrBRT3Hddd3UK0UKtKcI7+DrMTj9uygweimN2OBv/qNup8dc+aZjraiKRYIs/gDGWxqxPY9bH99vvzGmDTmF2OLtwh+LemGi3Vp8RcxrQr/ytefC6Ev3OTcRkG/8G164rsA899BC//vWvOeqoozj11FMJhULMnj2bXE72kAshhBBdgQJ05ezW+1TMRq3nYdWoqUN9dF/Bdj31auIjjiJLcq2frZRasSU37mZx37wC/dZ1zTst+BDnln0oPudNKihf6zHWRM4z+EP2RvXeDvX9+6tOEnPwNaSRGrmi7VgbbPWN7HAhsTFno/wsOGEyqpiG3Np96OQ6imJVhZ7zJuqrF7DFvbEjj6MxVNYhicdynsEftj/q/dtR899t3uiEMIf/j7rV/HwImQbUt68X7uBnIb0YIiXrP2GxztotgP3+++/5wx/+wE9/+lPOOuusFdfHjx/fXkMKIYQQooMZC2azceiP7i/cZ7MxGLN+Ky/KyxRMbgRA/WKU9db4eVorilQtbrYqKPVR3BPPTeEqH/32Dflvytaj3rqOyLj/a7fakdVeMSXH3IX+7BH02/+DTBV2sx0xE39FJroZWV/yb4q21+gpGikJ/rB2CYcBcBxNMjcX59b9Ib0UWLbF/40riU64CLXdmdT5sVafsSqtFVorjLFrXMan2ismddQdOLNfQM+4HhprsAN2wYw/nzq3O95qvjaLCrbxZyoLd3IlC/iG1m4B7P33B/9HdtJJJ7XXEEIIIYTYwHI5Hzt0H3j+d5BLt+wQTWH7jcdbx0Qwy9lQDJwQ+AV2cSW6YdWa/VrjOJqUNx/n/pNg0WdN1/uMwh5+PaT6Q+XXee/Vs54msuMPaVyHld41Ya2lMldMaIuTKd7qMJQ1NPhh0iaKbcfzt0KsjyKqce4+ZkXwujL96t8JD94DXbR1s0BUKYg7jURMPeTqIRQjqxJkVZQENeiFH0HVHGyPrTAlA6mlZLVbkK21VHnFuIOOIDpgEhpDTsdp8F3sGgTmDU6K0OhT0S/9OX+H1GaYcGqdgnzRdtrtY7wZM2YwePBgnn32WfbZZx+23HJLJkyYwGWXXUY228onqEIIIYToVGopwZz4MERWCeriZZiTH6PWptZ7jAZVhN36yILtZux5pNWaBZVJVYVz2/7NglcA5r+HuuMo2PeSwjc74WCVpp3lPIMf7YYX60G9H5Gsw2KjpRQ46YVQ+U3BPvqNK4mqhmbXSpwaYs/8BOfq7XCuHY9z1XZEHzuTpL8Q9+5j0Hcfi376Fzi3HUDolr1IefNwnDULXTzPp84UUWOSZDx3jc+NZ3MWs+3xUD4kzxfhYg65ljrW/+eZWD/KttNPxH333ZdFixbhui4/+clPGDJkCNOmTeP6669n33335fLLL1+n51pryeXa92MP1w32/Hur22cgRCci77XoquTd3jgo6+M0LEEt+BCWzILuW2J7jsCPdseqtvm8PNSwGO48BrXgg2bX7ZBJ2EP+ixdZfaZjpcD97CHUg60kSzrsenj5kryrsHafS/C2P6tDglh5t8XGRPsZdLYOsFg3ih9q+sAo9NXTqHtOKHxz9+H4Jz2GHy3HdR1U/WK448gW/y0DULI5HHA53LHKB1bFvTFnvoQX6942X1Ar3IbFqA/vRr1zC2TrsAN3gwkX4Rf3xTiyhbi9hUJOq3kT2m0LsbWW+vp6rrjiCg444AAAxo4dS0NDAzfddBM//vGP2XzzzdtreCGEEEJ0IKscvFhPGLgXatBe7ZIpNxftjnv8fbB0Fnx0Lzhh2PZ4bGqzgsGr01iJziyFBR9CtATbdzRq5lOtfy3fv4/qsUXLALZsEHarwzokeF1f2s+gvAZsKI7R7VO2RGwaFBa3bh68einq4/vBz2IHTkTv9Sf81CCMG4WS/q0+w5YNwa58drTqm/zBK0DVt1AzD3puBQs/abpe+z1qyefQb80DWO2lcbLVULcIQnFsrCT4UG0193nR7qgdz8PZ5jjAYkIJjBtf43FF+2q3ALakpASAXXbZpdn1CRMmcNNNN/HJJ5+sUwBrLVRXt23h41WlUsEh8/YeR4iOJO+16Krk3d7UxNHJ7QhN3B6AbNbHNlhoaP73rxSUuLXoh89GffNa0/WRx2JjZa2HoPFyzOhT0fWLYd47EEliRp+C2eEHVOeKMY0d866ty7td7GYI1XyNnvovVM18bM+tUON+SCbUg4wfbq+pig3McTSuq7HWks223Yq9UlCqlqBu2L1ZYiM1+yX430T0SY9SWzKKRKQb4fLBsPSrvM8xO/+U6oyDMRlKSuK4M59ufeDZr0CfUc0DWMDOe490+dg12o1ZEqrHefVi1Pt3ggkSvKlUPzj8BupTI8j6eg2SQy2rLZ0FkP+P6Sjl5UW0lri+3QLYYcOG8f777xds11qy6AkhhBBi7RljaWxsPeNwwsngPHF+s+AVgJlPoY68GWb8r+C9auAEsqES7OF34CoPaxUZXURjTsNq1242nCInTfitq9FT/73impr/Hs77dxA/7H/YvnvSYEIbcIairTmOIqmq0QveR816Bhsvx25zzLLSNWuX9TefqJNDv/z3/Fl5jY9+/MckTnicOpKkjr0H59YDoG5h8257/oHGogGYlZOQhRKtDxyK5U3YZlP91igjccJpxH35T6j371jpiymBnX6I9hsp+u55TKwcWzqYeoolu3cn025/W3vttRcAr7zySrPrr7zyCkopttlmm/YaWgghhBCbuLBfh5r1TMuGhmpY+DGMPiX/jTv9GL54Cm09av0ElV6KKj+5LHjdeCkF4YYFzYLXFaxFPzKZuKrr+ImJdqO1ImUW496yN/qe41Hv3op+/Qqc/44l+tY/KXbzZAVfSxEyqE8eLNxh6Vc4Xh2+b6l2+uCd/TrmrJewx96JOeIW/PPeJbPVic3qwFprYcuDWx94i/1h9kvNr7kRbL9xq81EDBCxdagP7mq6EC2BY2+Hzx6H2w5G3X8azpSDca8bT/GiN4k6BbKbi41Su/00njBhAhMmTOBPf/oTt956K2+++SZXXHEFt912G8ceeyx9+/Ztr6GFEEIIsQlTiuAMXSEv/BE23wmOuQP6j4NkXxiwKxx5MxT1gPembMTrrPmFXdAzCtSvBfBzqG9fx3U37kBcrLkiVYvzwKlQ/V2LNj3tGsKLP1zjrL2FKGi9/jKA9VEKilUNas6b6Od+i3rtMlj6BTghsrRMemRi5Zgx+ROp2WH7Qv3S4NzqctrBHHkr9RSvds6Oo1BV34BdKdCdcAG8ejmsuiOjsQZ9z/HEswta3bK6Mq0VRU6aMrWEUruAEqeGUEj+u+pI7baFGOBf//oXV111FTfccAOVlZX07t2b888/nzPPbCXznxBCCCHEerCWYMWlEOPD1Gtg3GQYujckekDtfHjhT1D5NWa3X5JZw5I8GwttPVTdgtY71X7famZP0bm4Xi18/37Bdv3aP4gdNoU61j35UNaGcAZMQH39Sv4O8XJMKEmJrsO5/yTUdzOaxp/3Lky9huSpT1MdGdBs5dQPJ7G7/IJQ/3Ho1/4BS7+EVH/MTj8OAtj0EvS2J6Cq52B6b4cdfSppp4ys77Q6X8dRpMxClFlpRdUJQZ/t4Nnf5L/JmqDMzx5/J+O1vsU+5BiKs9/hPPFTmDs9uJjsQ3L339K4+STq2mDbtli9dg1g4/E4F110ERdddFF7DiOEEEII0YwfLcMp6Q9Vc/K227GTgy2GX7/avKHHCMx2J5Nt/YjtRsdXYUz/ndGzni3Yx/bdYY22X4qNn1JA7aLWO1V+g2PXb2tsxsaJ7vXnIImTaZk4yezxW7JuithHNzcLXldorMF5+CwSx9xPzSqrpzW5OG6//YkfuzNaW4yFjCohlzWoUDGR3f+GNo34OoJvlweurb+/KVWJc/PecMh/IF4G6QqIlxf8ObCcmvc2rskAhQNYpaDYLMG5aS/I1q/0hcxHPzKZyH6XkRt2DI2efEjU3mS9WwghhBBdTj0p/CNuCZLBrMIO2h1/4O74B12N2eXn0GME9N0ec/A1eMc9QLXpXKuvANmcwW51GIQKrLaV9MeUDl6jBDhi42ctwXb31pQOwFfrl7TLGEt9tB/mxEegbFBTQ7wcc8CVZAcfQChXjX7rusIPWfgJrleft8nzDDWmmCovSY2fJOcFAaq10JBTaCyJ7EJSs+4iNetuyuwCEk7+bMBhVwXndeuXwPRrYZ+/gtKQTbe+IwMgXoZVra/rRZ0c+vXLmwevK9Ev/Zm4rWl9HNEm2nUFVgghhBBiQ/B8S21iKMU/mIZ671b07JchmsTsOBmv57bUeEVYC5Htzyc06ixQigaVxPN8NuZMw62ppZTkSY+i7z4G0kubGsqH4B93L7Wk6Kxfm2jJc4txem9XcBux2fVCMiRYn7/zmNNIzNZBQzX28P+t+IDECyVJqxRZD0qcLKSXrGaymdYWN/NKheoJvfA71Ef3NJ/Ttsfj7v4HqnPNP6wJm3r0Z48Ef/jqRUhtBic+ANOvA+0GAX9d/lVrf+wPaVBFtLbCG7Zp1BdPFp5wQzWqoRJCqTX6+sS6kwBWCCGEEF1SzldUUE5kzE8JjToHq1waiOF7Tb+kNnqKRoqW/ant6mduCDlfUV00nKIzX0NXfQ0130H5UPxEb+pI4vsSvHYldbYY94ibcaYc1CKRkxl3HtnuI/G9df87L3YzhD+4Bf3KJc0SItl+Y1FH3EJu2TZ7jxChXiObzoSuSrsQTa3Vf15hF9wPprQIXgHUB3cS6j6Mkm1OoM4k8Jav2ioFzkq1jt+9DWY+DaNOAuXAYdfBnce0SEplB++Jv9n4Fc8pyMJqMz0p2dzaESSAFUIIIUSX1phTNLK87mTnPwMaCgXnAT3PBCVJVuL5iiqS6NR2qJJRGGOwPsjKa9djjKXa6UHy1GfRCz5AzXq6eR1Yb+0TCoVcTdxWoTE4uXrUwg+DoG2l10fNnY7zzEXE976Cei9KhgSR3X+Lvu3AvM+02xy9bHVzzcVtNXraNQXb1ZtXERoyiVTdEtJl25DxIzSqBNFRp6DnTG3qWLcIXrscuBy2PBg7+U3s9OvRc96EaAoz7jy8XqOp8VdTlxZo1EW4Wx2BLlRDOl6OiZR09s/BOgUJYIUQQgghOoEiJ0M4V4H68Anws9ih++DFe1Nrgu3QKwvOukrQ2tX5vqWSJE7P3XD77o61lmzWX6cgKhVK4858HP3GFcGKbrw8WL08/j6471RobDrfqT5/nMikv1BPFN+3NJRsQXT/K9DP/hK8xhX97PD98Xb/HelcOM+IhWnTCJnKwh3SS0E56PtOIn7ETeS674znGcyA3dDdt4DFn7e4xfTalrQuw+z0G0Lj6pftyEg025HRmgbPIT7+R/Dx/XnnZvb9O+lOlr28s1J21Y/uNnLGWJYubd9C3KlU8IlVdXX+Q+JCdEbyXouuSt5t0VWt/G6nQmlCL/0B9cGdzfrY/jvhH34Tlbm1W+ESYmVFTprIa39GvzelZWP/8bDDGfBA8zKY/tmvUREauOLPUccjTh1q4cfYXD30GknWTVHnNz+ruiY/s8vcKpyrRxeuQetG4fSn4bnfQdVcsic9SbVfjNaKlFONfuta9Du3BEF3t2GYib8m23cnalezKh0KaSJ+LQCNTjG5XPPg1nUUSbMQ/cIfUV88HmRm7jECM+lPNHTbjnq/Zc1bsfbKy4vQuvB2bVmBFUIIIYTYiIVcjfvFoy2CVwA1502cVy8htusfyXjya51YN2GvKn/wCjBnKux4NqxalirUfNttg+/SQAm6x64opYKSTeu4nTbnJHC2Ogw+bHkGFoCtDoPKZXOp/BrHqwdVjDGWSpMkssMFxMacg8Li45BWqVbPuDqOIqmq0Z89iv7oXgAi2xyF2eJgamzJivPjnm+pVD2J7XUFkb0uBuvjq/Bqny/alvykE0IIIYTYiMVtFfqNKwu2qw/vJrrLBWQo7cBZia4iFHJQHz/deqfPH4dBE4PESAB9RpNzEnkD1LbYvp72IkR2+wVq3juw9Mvmjd2GwagTg9XP+e8H11ZarFMKGj1NIytnAy4cXCoFKZbi3LJ/s2RYev676KlXkzrlKSpV2Ypt+tZa0n6ENJE1er5oexLACiGEEKJTUUoRcxqI0AAWskTJ2GiXrXGq8aFmXuEOXiMqlwEtAawIRFxD3NagsrUQimGdMMr4WGvwVYR6ksEK6XIrnVvNy88F2YQBEt3xD7ueeltEe52z9n2DDcdRB/4zOM868+kg0hy2X1Ae590p0Hd0sEW4bBC+kyBBIxHqoWouhBPYRA88HUF5jXgqSoON5P0ZEdNZ9At/apHJGYCaeegX/kBsr8tIe2t3jle0HwlghRBCCNFphBxDcW4B+vk/oWY+BdbiDNmLyKQ/UhfqTdZ3NvQU25zFgXgZpCvyd9AO1o3KIpAAIOWmcd+7AT3tP9B3e5hwAbx2BXz9MliL23Nr3L3/SqZ0KzJ+BM/zsUP3hpcvLvzQLQ6AhR9jDrgSM2RvamwJpp3LMplcI1oRvPc9tgLrwccPQt9RsPXhcN8pQb/9/oEORYg9/xvUh3c3lfxJdMfd/zL4bgbhitlEd72Qhng/0qucU41Qj/rs4YLzUJ8/SmTSH0kjAezGQooVCSGEEKJT0FpRnP0O54bdUJ8vS6BiDWrWMzjXT6C4YU6riT86q7RKYnacXLDdDj+ARi1JnDY1WivibpYiXU/U9VEKYm4Od/q/0K9eCm4YdvtFUPt09kus2AO78GOcKQcTXzSDkKuxFvxEb+zmu+QfqGwQ9N4WBu+BHbo3dTbVMTWFlYI7joba72GL/WG7E2DiRVC/FJ7+JfTaDnvyo+S6b4Pzwm+DM+Ir1aulfjE8cDoM3Rs1dxrODbsT++oxok7zxFDKeGC8wvMwXrAC3QEcR5N0ailTiylTSyh26nEcCddWJd8RIYQQQnQKMZVGP/NLyOXJXupn0U/9nISq7/iJtbOsB/52J2EH7NqysXwIZu+/kvFldWhTUuykKal+j/iTPyB2/9EUvfY7Sv15xFUGPeP6oNOok2DafyGXzvsM/dSFxG0VAHUmAYdcDdsdD86yd0lpGL4fHHIN3HEUTDkM53+7kaz5mLDTfLlfKYi7OUqdSspYSIlTTSS0flsCPBWDXlvDOzfDTfvAkxcG2Yd3PAv2+A120u8wpYNx8YKV13yMDzP+FwS/gH7qAuI0/xlhdBiKexWeSFFPrBMp3N5GojpLSdW7RO4+AufqUThXb0f0vmMoqfuEqNNKgL0Jki3EQgghhOgUwjaD+vqVwh3mvoVr0kC8cJ9OqtorInnI/3CqvkK/eyvK5DBbH43fa1tqTIpOVhVRrIdiN0349UvQ79y84pr6/gOc96Zgj7wZhu0Lnz0GA3aBqdcUflD1XJxcHegkvm/xnAih4j5wwn0QLQGvAWY9B3cf31T3tH4J+vZDKJr8FhWUA8FKcImuQr/wB9SnD4HxcCJJnB3OJjbmLKpyicJzaEW9TRDa7wqcmyZBsg/s8Rt47Cew6NPgawacZF/sMbfDZjsG2ZLzmfsWDN8/+N/GR339Cu6gw1dkDU6rEop3uQD91AV5bze7/Jy0KqE96yq7riZR+Ql6ysE0K+r8/fvoW/Ylftpz5BLDO2bluxOQFVghhBBCdA5rEKQp2zUPglobBLFVye2onXQltXtfRVXP3ajykl02eZVoSWtFqPbbZsHrCtagHv5BUPIGCEK81b0bFq0VCbcRpcGOPBqe+TXULQhWPV+7rCl4Xc5rRL0/hfCyZbCUrsGZchDq4/uatuI21qBfvwz32YsodvKvAK+OMZZMYgBm8lTscXfDw5NXBK8r1MxD3XYI7PnbYBk4n0hx810b6aWolfpmPUtu2MGYnc4HvdIZeu1gxv+Y3PBDyXrt+99Y3Nagn7ow/8844+M8+38tVo43ZbICK4QQQohOwdcR3J5bw8KP83foNhTfia1z7cnOwBhL44ojfF0zWBeFRbQXJGcqJJeBpV9Bt6EwdxoMmQQzn8nft7g3NlxMibcA/dT/ob56HsqHwoH/xC76NKhM44SDbbvZ2mbBlf72DUKjzsG4CdTcqVAxO+8Q6tOHCe32K9BrtytCa0XKqUF//gT6iydh+5Oh8pv8nRtr4NupMGBX+PrVlu0jjwlWpJex/cY1z8AM1HhxYmN+TGzMGbDgw+Bir5E0ECfttf/2YddPB9mWC5n7Fq5toCvuLlkXsgIrhBBCiE6hniT+3n8t2G72uph6lSrYLkRnp20OlV7cah+bawhWHd+9Dcb/ENz8AZjZ+68ox8G5aRLqy+eCAHXJTHj0h6jiPnDULXDc3XDwv+HUJ2Di/0E4SBZm4+UYFSJEFuejAudPl1GzX8J11y7kSDm1uHcduWxbr4V577R+w7x3oPsWLa/32gY22yHIwAzQbRh+qn/eXQsZP0yFX0pVz4lU9ZxIhV9K2m//4BUovHos8pIAVgghhBCdgu8bMqVbYY69B0r6NzWkNsMcNYVM99ErzrUJ0RXlVBTTb1yrfexmYzB7/w1KNoepVwdB6GY7NHUoG4Q55k5y/XZBTftPyy3C3YZCvASe/S3cfjjcdyrccgAs+BiOvQMixZix59JoQkF/tZpwQq9daauwq9Af3QMLPwkuZGshVtb61xzvjtnpJ9iRxwTnZbsPhz1/D3v9GR48KwjO+47GP/4Bak2y1WcZYzt8W76nY9Bz64Lttv9O5HSsA2e0cVO2k536N8aydGldu46RSgUvSHV1niyHQnRS8l6Lrkre7U1PyNXEbRWOVw/WYkJF1KsUuXY+p9bR5N0W+ZTppTj/3RG8xpaN3YaRPf4R6kgSpx5X5bDKxQKOlwFr8J0Y9SpF3FQRuX3/YGuuE4ahe0GyH2x7DNy8X5DEaVVD98KOOoVs7x2o8RI4jqZkwUvoe08oOF//vLepoCnL7+re66RTQ+S2/aDq2+CC0nDq43DrQUFW4XxjnPUqVdFBRLRHyNSD0mgnhK6bD3WLoKQfuVCKelu8UZ4ZdxxNSc0H6FsPaF4KCMAJYU5/nsrokI1y7u2hvLyo1ZJosgIrhBBCiE4l5xmq/SQVqjcVug9VfrLLBa9CFFKnSjAnPgKx0uYNPUbgH3c/tTbIKlzrx6n0UlTlElTnElTYblTQg2q/eKWdCiooMXPSQ1A6AEr7w/t35g9eAWY9h+2+BXWmCKWCXRF+79HQc6u83c12J9LotL7iuSqFhYbqpgvWwAf3wJ5/yNvfjv0B2VgvjIGM51JjUtT4xVRlo1SEB1HVbTwVui+1ftFGGwD6vqE+uQXmtGeg7+imhv7jMKc/T21swEY79w1BVmDzkE88RVck77XoquTdFl2VvNuikJC2JFQNuuprqF0QJDCL9aDWrnlW6kjIUjTnWXSuDh7/aRAo7v2XIIBdNdvvSuzRt2Gi5eCGMUV9SKtUMJc3/41+77ag7mxRD8xO5+ONOJLqXPPEQ6t7rxNOI7GnzkXNWiX51M7nw4Cd4d0psOQLSG4G487FdhtKle2G53fO4wOOo3EcjbXB1uU4tcsSNilyKkraJja54HV1K7ASwOYh/4chuiJ5r0VXJe+26Krk3Raro7VCKYUxZk2qTAFBvqC4biBi69GNlahsfXDedOrVMPrkoPbr3OmFH3DEDfDMr4KtufEyzKHXU99tDChN1NagjIfVYdIqlbf8zOrea60VpQ1fom+Y2LKsTKIb7HMJ9BgBGFj6Jbz+L8yh11Id6ofXieqkuo6iWFWh5r2N+u4tKOmPHbovaVVMgx/e0NPboFYXwEoZHSGEEEIIITqhYGVuzYM2pRQlTjXOkz9FfflsU4DYdzQc+l+YcSNsc1ThADZSDPFuQfAKkK5A330M8bPfoNLdjAZbElz3Wat5rfo1pWP9iB99B/rR85qSTCkNg3aHaBL+tzv4Weg1Evb7O/qhsyg+5h4qCbYra62W1am15HzdomzOhuY6imTjtzi3HdA8idYzvyRx8H9Qm+9NZhMPYlsjK7B5yCeeoiuS91p0VfJui65K3m3R1lJuHaF7j0V9/37LxqKewepqYy288a+WQaxScOC/YObT8MWTwbV4GYw6CbvFgZiiPjQQI+NHaC28WNP3OuwE26SdmrmoXBpCMfjyBZh6VfMEVj22hF1+hgklqO41kQQ1OFVfod+9BWU8zNZH4/fajhqz5tur21uJU0Popt2hbmHLRqXwfzCdSqfPGq+qdzWyAiuEEEIIIcQmTimFU/td/uAVgmDq+w/gqxdh15/D4i/ggzshXYHtuz1qhzODwHV58DpwN9jtFzDtv6hb9sexlviw/Yju/lvqQr3I+uuXKzbrK7KkKCmN4r57I+qVv7XM0Auw6DMIJ2DhZyT7bI9+8AzUt2+saNafPITuNpSSEx6m0qY2eFCotUJXfpU/eAWwFj3jOsK7/IHGnNSHzUcCWCGEEEIIIbo419Wor19pvdO3b0D5YLjzaBi0O+bYu/Gsi2syqFv3b9o6nOwbBLl3HBUkbVpGff4YzpfPUXTG81SFB7bJimfOs4S+fjl/8Lrcos9gwC6od29tFryusGQW+rlfE5t0BekNvDVXa4VaMrPVPmrxZ7imkUaiHTSrzkXK6AghhBBCCNHFWUtwhhVAO/k7heLgZSFchNntl9RQRrVJ4TvNMwkz5jR47fJmwesKXgPOUxcQV/VtMm+jXGy8W/5GpWHYvjB4T1SyN/qt/xZ8jvr8MSK07zHENWGMxZYNbLWPLRuMryMdNKPORwJYIYQQQgghujhrLQzbB055DI67G059Anb6EbhNq3x2uxPwh+yDN3k6NcVbkPODLaz1JDGH3QhOKOjYdwy0tpo7Zxoh2zZntxtNCDP23JYN8TI48UHouTXcfRxq6ZfNEyKtyvioXIH6th3IGIstHx7Mv1CfHSfT6Mn24UJkC7EQQgghhBBdWMixJBu+RD94Jizfvqpd2PoIOPYOuOdE7KA9yHXbijpTjO81366b86GudCSJc95ET/0XqtAK7sqM3yZzN8bilwxGb3sc6oO7mhoOuQZe+CPMfy/4c0MVJPtAzfz8D3IjWDcGG0FC4lqSJI+/H+e2gyHbfFXY7PM3GiI9sG3z7euSJIAVQgghhBBiA3NdjavBosjm/DZLNuQ6kGIJ6pb9ILvStl7jwYf3QC6DPelRcsn+VOcSrBrh1b33Loltt6MRh6zuTXTCX4hRh9NjS+zCz6io7k55yeLmg5YPxjixZeV01p9nFOEtDoAhe8L7d0GsFOqXNAWvAO/dAWPOgBf/nPcZduRxNOjijSKA9XxFbXwoxT+YhvryWfTcNzGp/thtj6fBKSXtt9/2YaUUWoPfiWrmrkoCWCGEEEIIITYQx9EkVSV6zpvoWU9jo6WY0aeQjfakzo+v/gGreXbKLkRNv7Z58Lqyzx7F7vnHZcFrc0seeYiKxx4hufOubHbGGUSpQxuLFymBPf/C7L/9lkUVfejXazb9e89ecZ/Z62LqVYq2ixYtTL0Gar+HrQ6HgRPg1X807zL7RRh9Mmx1GHzyUPO7N98Zf8L/kcltPKFPzldUUEJo2HHo4cdi0WSzXpsF/asKOYYialFVs6F+KXTfgly4lDpT1GrZo43RxvO3KIQQQgghxCZEa0XKn4+zUoZfBThv30Bk+9PRu/wfNd66B7FFVKO/fgW+fb3VfnbRJ+ieu2OMRWtF3M1RO2MaFY89AkDNG6+xuO4bhvZ5D+WlMQN346tPylhU0QeAuQsGkYjVUt7PxexzCZkeY/C8tlvqzKoE0W2ORj/xU3j9CgjHwVvljK218OCZsOfvYftTsXOmY63BDt0XL96LWq+ozebTlnK55RFr+y0NRx2PxNJ30A+cDg3VK67rfmMJHX4TlX5JpwpiJYAVQgghhBBiAyhStTj3ndxUnmYl+p2bCA3dB6fHrvj+ugU3TrYK0kshFGu9YyhYfS1200SqZsHUq4jWLqR6aF8WzQoSHy3+YC5qbpYh/Wfx1TvuiuAVoMdO21F6yp/JhVPUqxQ5r22DoZxnMEP2QZf0h6o50GNEkC153rvNO/o5ePY3EE5gzp1BLaV4nsF24u2y60spiHuL0Xcd3eJcspo7Hf3QmRQdegu1fssV+I2VZCEWQgghhBBiA3Bz1bDo04Lt+o0riK1j6RelCLLyznwqSNZUSCiO7TaMhKon8sbfUbcegJr5NOr79xiSeJwe5U1JkRZV9OHN9/dsHrzuMoYhB4xEffU82jTimMZ1mu/qVJsU/slPYCf+JghiB+8O0ZK8fe2g3cnaELmc36lWFttDxPHR064umFRLzZlKKFfVsZNaTxLACiGEEEII0cGUAuoXt96pag7a5tbp+dYCxb3hu7ehbDD03i5/v/0vJ0Mx4fo5qLdvbDHHIf0+pUe3hXnv7VE2nyGH74SafjWq72ic+04m8f1rRJ11m3NrjLFUmlLMtsfCm1fBc7+Do2+D3ts2dXJCsO3x2P0upc5rWnVWSqHUplmWxjVp1Hdvtd5pyUy07jzfH9lCLIQQQgghRAezFijq1Xqf8qH4KrzOY2R1EdFBE1EPT4YjboQ5b8IHd0O6AvqMwk78JZnUcJSyqGn/zfsMpWDIZh+zaEnPFm1D+n+GsjmY+xbcfxoceRP6tkOIn/cuDZSv87wLsRasl4WaecE/j58P48+DbsOC7cNOCL54CpMLAuiI4xNXdaiqb4L2ssFkSJDx839PXVcTsWnAklXxtdoKrZQirtPB/bkMNpygQRWR8ULr/4WvB6tCEF/N30W8vM2yXncECWCFEEIIIYTYAHJuMU7f7WHeO3nbza4XkLFxYN2ii3oTI3TQNTj3n4y6/TAYvCfsdhFEU9h4OQ0lw6nPhok7Daj6ludwIQgav5yzZd62L+duxRAVQkFwjnfuW9B/J9RnjxDa+qyVEhS1Ie0GUbW1UDEbnvj5Ku0O7DiZBBmiXz6Gfu43kEuvuDc+9geEd/wx1Sslx9JakdI16Dmvod+bAiZHdMThmOEHUmNLVnsG2XEUKbsE/fj5qNkvLbsYIrH1UUR3/y1VXvEGCxAbiBMd90P0NwUSecVKManNO9U5YdlCLIQQQgghxAZQb4vwD78ZSge2aDO7/R+5shEYs+6BhbVQ5ZeQPeIO/DNfxgzdF9+J4PfcjrriLajLBiuRnopi+4/Le/+Xc0Y0O/O6skVLe/HldTc3BWdfvwp9R6OWfN5uW1KzKo4dtHvBdjtsf3JuMdHF76Kf/FlT8ApgPPTUq3E/nEJpOE2pWkKpU02pU41752Hoh86Gb16DOdPQT/8C96Y9SJlFq91+nFQ1OLcd2BS8Avg51Ad34jx0FsW6QAmjDuD7Bq/nKOwWB7ZsdEKYI26mnuKOn9h66NAV2Kuuuoqrr76aLbbYgkceeaQjhxZCCCGEEGKjYoylSpeTPPlJ9NIvUF+9EGzn3PJgGnSStBdd7zGstdT4RahIEc6woVhLixXFrAdm2xNx3vw3eI3L7msZvPYom8+Q/p/x5dwtWbQ0uL7oi1ooG8GQ/p+i3Cj4OWzv7dcr8G5NxsaI7HMpzk2ToKGqeWO8DDPpT2ivAf3inwo+Q0/9N3qz7WHKobDdidhwHBZ/3rJj7QL00xcQ3/9a6v38fxeuq9HfvgbVc/O2q29fx21YhAoP3GCrsNVeguQ+lxMadXKQ0Cldgek3Djt2MvVON3J+51rT7LAAdtasWfzvf/+jW7duHTWkEEIIIYQQGzVjLFWmGF26A+64sVi7rDZoG+++tZZWa7PWqRKSJz6EuucEyFRSUd29efC661gGHzYWVTOHISUD4frbWPTpUiDITlyWWkz5VofCG1dhj5281tuHXTcIonzftBroGWOpcXqRPPtV1FvXoT99CJTGbHU4dsxZ1FBGMZWw8JPCD2moBrvse7HlgagHzizYVX31AmFbTz35A9gQWfSnD7b6tamvXsTd5uz22VK9hmq8BE73XYgeNBplc3g6QYOn2/w96wgdEsAaY/j1r3/NUUcdxcyZM6mpqemIYYUQQgghhOgUjLFksxsumvAJYXwP59i7IJemvGY+/d5ayNynptJju34McaZgyk/ALPwI/djBDAn7UBas0PbrNZvykYMhFMfs9w/qSK3xuAmngYipRc16GfwsduAEcuGyVuuSegYqKCMy9iIiO5wLQKOTpDGnAIt1VFD7NpcpPLCzLLmSG4FsK6WKrEV5jQUPXlo01o3Q6ibjUHSjKOfj+2ZZIB6FdSstvFHokAD2lltuYcGCBdx0001Mnjy5I4YUQgghhBBik+S6mqitRVkfT8dp8N3Vbl+NUYfz8sUwdzoU94KyQfS3tSQGL6GM51HVQNVcsiOOIVw6EP3KJQzRn1LW26dsvxOxWxyI7yaos8VrvCU16aYJTfsnevp/ml3XQ/fGPfAqqnKJVufd6GkalwfLKwVkDaoIZ9vj0auUBVqh31j4/oPgf9cthLJBQUKofMJF2FC84Epl1jiY0afjfFr4eKQdvFerq99i7bR7ADt37lz+/e9/c9lll1FUVLTez1MKUqnY6juuB9d1gPYfR4iOJO+16Krk3RZdlbzbYl24jUtR376JWnbW0fYbR2KXn+IX9cE4hc/UOg1pyFQEf6hdEPwDlCeb+ujGKnS8FH/IPtjNdkAZj1Kl8GPdsCishXieZzeb37L3uiQVw/3kMdQqwSuAmvUszmuXUj7+PGy4CC+69iV51K4/gy+fg6o5zRuiKdj91/Doj4I/v3MrjD0Hnroo73PsjmdDohspVbgcjgqPwA7YFfXNay3vHzsZGy8jFZL/jtfU6kr2tuuJXWstv/nNb9hll12YNGlSew4lhBBCCCFEl6WwuJlFuPXzcDML0Sbboo/buBT18A9Q958K370NFbNRH9yJ+u84nO+moaxX8Pk2VITt1zITcTPlQ4K+FvxIGV6sB160O8aqtU5Q5DQsQb16acF29f4dqOq56CkHE6rLnyCpNblYL+zpz2D3+gt03wLKB2N3/gkcfy+89Beo+jboOGcquFEYNxlU89DIbnMMduy5mFaCVwAvUoY94kbspD9C0bJ6ueVDsIf/D7vrBZhQ58ryu7Fr1xXYe++9l48//pgnn3yyzZ5pLVRXt7KfvQ0s/6SzvccRoiPJey26Knm3RVcl77ZYLhVK43z2EPrNK4OV0XACRp0E439ClZfEWovrapLzpqK/erHlA4yPevBMOOt1qv3851OVgtLxP8L54E4wLffL2kETadTF1K7mfXQchdYa3zd5MxEvf6+1l0NXfg2RJGx7DAyaCCiYMw3emwKZyiDR0uLPUVMORZ30FFX+2gaCxYRHnEZkiyNwlMGpnYv65MGgXu3KHj8fdr0Q+6N3sd+9izJZ7GY70OgkqWuIQsOa/DcYJ7zVmcRGHIVWFt9q0iqFlzGQkf+G10Z5eVGrq7DttgJbUVHBP/7xD8455xxisRg1NTXU1NTgeR7GGGpqamhsbGyv4YUQQgghhOj0Ek4G99W/op+5aMW2XrL16OnX4t51JCknSI4asXU4b/238IMylejqOQVrmloLabcH5rh7IVbavG3gbvgH/4c6U3iDcMgxlLrVlCx8heQnN1JSMY0SpxrXKTAeCgbvCcffA5kqePJC+Opl6DUSTn0Stjoc9LK1tspv0FVfrVVtWaUg7mZJ2Epc5aGVRb96KfQZDbv/ChLLKqMoDUP3gcEToX4Jauks1BdPop77LeGqmRS76VbHWVnWs1T7SSq9FDV+sZx7bSfttgK7cOFCamtrufzyy7n88stbtO+www6cddZZXHDBBe01BSGEEEIIITq1iF+DfveW/I0LP8H5/l2cXrujrR+sWramoQqVpOB23wbfxS/fkcRZr6Orvw2e120YOTdJnVc4oVLYMRTXfIq+62hobKo24iS6kTzxYWoiA/H85jdndAnunr9D3XYwjDoRDrkG3r8Tpv8HUv1h/HngN22TVnOn45Rtj8mzOrwq11EkzSL0839BffYIGC8IXHf9OXzzerB9+MB/QigO2oGvX4V7TkId9C+YdjU01qIA54snUTueQ9G4n1Pnr+50r+go7RbA9u/fn9tuu63F9b/+9a+k02n+8pe/0KdPnzx3CiGEEEIIIVxXB+VlWqHfu5Xw/juTU3Ei/XdCLf6icOfyoXm39a4s5yuqSKGKt0Ulg/I+q6sVWkQ1+vZDwWto3lC/BOe2gyg++3UqVymt45oGePVSGHEoFPeGKYc1Nc57Fz59GCb+Ena9AF67DIp7rXEpmqRdgnPjHs0D+vnvwj0nwCFXw+LP4J4Tm98UTQUBbWNts8v6resIjzwOFR26UZTCEe24hTiRSDB27NgW/ySTSeLxOGPHjqVfv37tNbwQQgghhBCdn1nNNlRrAEuj72DGnddU33TVboP2IOcm87bl7W/taoNdgFDIQX3+eMvgdblMJWr+OzhO87AjTAY189ng/Otzv8t/78uXwMAJEEliB+y2RltyY66PfvOfhVejX/wL7HBmy+t7/Abeuz3vLXrG9URc2Q68sWjXLMRCCCGEEEKIdeN5Bjtwt1b7mG2OJUcEa6He6Y45/oGm853L2MGT8A++howqIhJxCYddlFp9uZI14SiDnvdWq33UvLdxVj0Law302yHY0mtbCQ4/fwxzzB2kSazRfCK2LkjUVEjtAmxRryB5lFKw9ZHYc6dC3+1hmyPgtKdg4v9BpClhlKpf1GoGZ9Gx2r0O7KqmTJnS0UMKIYQQQgjRKWVDJURHHIr69OGWjWWDMP13WrEy2eg7mNJRJM54FV03L0iOVDaInJvEwSO16HXU1y8HyZNSm0F6KSbeHc8tps4Wr9GK66oMDqZkQOurYiUDWjzbV2HcXiOhfnHrA9QvJdt9JA0NzlpMqvVg07oxvHOmoRyNk16CuvcUWDIzaFQKhu8Px94ZbDNuqMZsviu+igCyCrsx6PAAVgghhBBCCLFm6vw47t5/xykbhJ7xv+CMpnaxWx6CmfRHqk0KaAoOgzOsSVQ8iUoE9VlLbQXOlEOClc5D/wvP/TaoEws4gNNrJO4RN1Pt9Mb31y5Iy2Y97LYnwBtX5u+gXeyQvVps/60nSWirI9BLPm/1+WbzXWjww6z2IO7y+agY7pB9UJ8WWIWNlmAiJVT5ScqoRN2yf7PEU1gLnz8BDdWw5+/g2d9itzqcbE6C142FbCEWQgghhBBiI1aVS1A35nxy50zFO/dtvPPeIz3pH1T6JQVXTa0NEjAldD36sR9CxWzY9xJ4+NwVwesKCz7Eue1AkqpqneaXcUsx+7WsOoLSmCNuJE3L+q2+b8gUDcT2GwtFPfI/OFKMHboPudyaBa8AGT+MmfhLcCN5283uv6FeJQm7oD68p3nwurJvXofyofinPEEtJWs8vmh/EsAKIYQQQgixkWvMaar8EipVLypNKWkvXLCszcrCJo36+hUoHRis3lZ+nb9j7feo797CdVsPD1xXU+zUUeLWkHJqCLmKjB8hM/QQ/MnTsTucBYP3wIz/Ef65M6jvPYEGP/+mz7QfpTa8GfbkR6Gkf/PGoh6Ykx+n1qby3luItVDn9sSc9iz0GdXUUNwLc9DVZIcdQtZThEwa/dVzrT+rag71xcPJ+W1wWFi0GdlCLIQQQgghRFeVqw/+3XMEzG092ZKe+QRO/70pdIK02E0Tnj8d/erfYPEXkOyLO/6H+MMPpiqXIOP0Jbzz73FMFl9HaMytvgRPY9bguf0pPvlpdN081NIvsSWbY1KbU0dJi/qxayLra6piQ4gfeTchkwbjYdwEaZUi6wXPs8qFcFGrzzGR5DqNL9qXBLBCCCGEEEJ0VeGiIDFRLtMss25esVJQmnzJihJOA+G3/4N+459NF6u+RT91IWrWMyQPuJoar4jGHEAY1iLw832z7NxuCl20FcZYrG9Z+Wzv2vJ9Sy0JIAGKZYF00/MaiRLb8Rz0Vy/kf4ATht6j8SWA3ejIFmIhhBBCCCG6qEadwA7eE759Ewbv0WpfM+oUstn8668RU9s8eF2J+vJ5QlWz0Xr9ttpaa/F9g12TvdHryfcNXo+R2EET87abff++xqV7RMeSAFYIIYQQQoguKu3HMPv/E0o3h69fhbE/yNvPbH8a2Uj3vOdqXddBfflsq+Oot28g7HauTL01fhHewddhDvw3dBsGsVLswN0wpz1Nw+CDaPBDG3qKIg/ZQiyEEEIIIboMx1EYQ4es4nUG1lqqbCnJ4x9GV8xCWw8G7IqaejVUfAUl/TE7X0Cu12jqvHjeZygFZNOtjqNyaZQxKOUS1w24tgFQZHSSAou6G5y1QYbn0OAjiQ3cC4XBU2EyNo6RrcMbLQlghRBCCCFEp6aUoljX4WYrYMEXkOiGLRlIHUnJIEtQTqfKFKNLtsd1HbQG97AdcEwOX4XIUITvFV499TwTbLV98Y+Fx9jyUJRWlDZ8jX7pYtS3b0CkCHfUqZhRJ1LtpwqW/NnQcp4h16zUz8Y5TxGQAFYIIYQQQnRaSilKnSqcB05pXt80VkryiJupKxtFo+9suAluRFxtifkVKN+SI0otiWUrja1v/bXW4sV7ozfbEfVdnkzGyT7YgROILZqBvvMosMue11iDfuWv6I/vIXXSY1SaZNt/UWKTI2dghRBCCCFEp1Wsa3HuP7l58AqQqUTfdRQJf8mGmdhGRGtFqVtD8XtXEb55D0LXjiX21LmUNM4m6uTW6Bm1pgj/yFuxIw5dlql4mf7j8E9+AoOLfuTcpuB1ZUu/Qn94D+GQrIaL9ScrsEIIIYQQotNysxUw7538jX4O9dZ1RHb6DY3eprtuk9LVuFMOhIrZK66pWc/gfPkciePuxe82ntxqznxaC1VeMbG9Lie6558gWwehGFmdIG0TlGS+gbqFBe/X791KdKtjgGgbfVViU7Xp/pcshBBCCCE6NcfRsOizVvvo76YTMpkOmtHGJ+yC/vCuZsHrCtagHz2PBNVr9CxrIe1FqDBlVLj9qbDdqfPjwdlWr6H1m7N1KDlbKtqABLBCCCGEEKJTstZCvFvrneLlWLXpbjqMmhr0e7cW7lC3EN1Yuf4DJXqCU7jsjB0wkZyKrf84YpMnAawQQgghhOiUjLHYsiEQKZwcyB97Hg2b8LZVhYVc6yVwVrt6ugYyKoEZc2b+Ru1iJlxIxoTXexwhJIAVQgghhBCdVh3FmCNuBt1yldWOOBSv+9b4m3BNz6yOYwfsVriDEw5WT9dTxgvhjT8fM+48cCNNDal+mJMepj7UCynNK9rCprufQgghhBBCdHo5X1PfbXviP5iKnv4f1HczIF6OP/5HeN23ocZLbOgpblANfojYhF/gfP4o+C0zDpsdziKj2uZ7VJ1LEBt7IdEdJ6MyS8GN4oeKqacEz2+9VI8Qa0oCWCGEEEII0ak1+C6NujeRXf6AazJYFaKBKL4nS37WQp3bk+ITH0E/Mhmqvg0a3Chmx7PxdjyPTK7w2dW1lfFcMpRAuCS44MPq6swKsTYkgBVCCCGEEJ2etdDgOUDR8isbcjoblaxxqU5tR+Lkp3BydeA3YqMlNKhiMjkJB0TnIm+sEEIIIYQQXZznG6pJgk4GWXD8DT0jIdaNBLBCCCGEEEIIwq4iZqvQxsNqh4xK0uhJzlexcZEAVgghhBBCiE1cKpTG/ewh9JtXQu0CCCdwRp1EfPxPqPKSQc1dITYC8pGKEEIIIYQQm7CEk8F99a/oZy4KgleAbD16+rW4dx1JyqnZsBMU6y0c0sRcj0hIbeiprDdZgRVCCCGEEGITFvFr0O/ekr9x4Sc437+L02t3fCmFs0EoxTrX0I06OeKmCvX2FPTCjzBlg0mMPo2GUDfSfmT1D9gISQArhBBCCCHEJsp1NWrWy6320e/dSnj/nclI6NBhwo4lTg06vQi8RkhuRkYlyHhrXvIorD0Si6aj7z0BTJC1S/McTL+W2P5XYAcfQsZ0viBW3kIhhBBCCCE2ZWY1K6vWIGWJOk7MyRL//jX04+dDpjK46ISIjzmT8Pjzqc4l1ug5RaoOfd/JK4LXleknf0bs3F3JqN5tOPOOIWdghRBCCCGE2ER5nsEO3K3VPmbkceTofCt1nZHWiljdV+j7TmkKXgH8HHr6f3Hfvo6ou/oaSK6rUbNfAj9bsI/64A7CYactpt2hJIAVQgghhBBiE5YNlWBHHJq/sWwQpt9OeJ6cf+0IcZVGv/ingu16+n+J2drVPkdrBZWzW+9TMRttvbWe44YmAawQQgghhBCbsDo/jrf33zG7/AwiyeCidrFbHYF/0qNUm+SGneAmxCWHmjutcIdcBtW4+qzQvm+xfUa32sf03R6/E54o7XwzFkIIIYQQQrSpqlyCyJjziY0+A+VlwInQqBNk/LDUgO1AFiBSDOmKwp2c8Gqf4/smCGBjpc23Ii/nRrBbHkYut/rtyBsbWYEVQgghhBBC0JjTVPkpKlUvKk0paS+8zuVbxLppUMWYUacU7tBtGJ5btEbPqrUpzEmPQryseUM4gTn+AepUaj1muuHICqwQQgghhBBCbAQaPUV8zFnoTx+Gyq+bN7pR/EOupZ7/b+++A6sqDz6Of885d+RmD8IMewdkKUNxI2JVFGnVqhX3aB246uy0trZqRSu1TtzzrXsUHDgBURHZyhTZI2SQde894/0jEolZEHKT3PD7/NNynnPP8+TmSczvPisVqH9Nsu1AYUIPUi78BHPbEti8CC+rJ17HgygmlagTn2OZCrAiIiIiIiItRKGbRtqktzAX/x/m109CtAyv5zG4h0ym2MrGcfZ8Qy3b8cgnDSt7NGa7w3Bdb69e3xIpwIqIiIiIiLQQruuR76YSGHghCbmnAS5RM4lyx4fXwCWrjuPhOPG33rUmCrAiIiIiIiItTMT2iJBS8Y/4HjRtVPE58VlERERERET2OzEbgZ0zZw6vvfYa8+fPZ/PmzaSlpTFo0CCuuOIK+vbtG6tqRUREREREpJWKWYB97rnnKCgo4Nxzz6Vnz55s376dRx55hF/84hc89dRTDBkyJFZVi4iIiIiISCtkeDE6mTgvL4+srKwq14qKihgzZgyjRo3ivvvua9BzXdcjL6+4MZpYq7S0EACFhWUxrUekKalfS2ulvi2tlfq2tEbq11KfrKxkTNOotTxma2B/Gl4BUlNT6dq1K5s3b45VtSIiIiIiItJKNekuxDt27GDFihWccMIJDX6GYfz4yU2s+HwWEPt6RJqS+rW0Vurb0lqpb0tr9NN+bdqlmJFCjGgZnj8RN5iOayU0ZxOlmRm1D74CTRhgPc/j97//Pa7rcsEFFzRVtSIiIiIi0gL5y7bAjFswvnkdXAfDF8QYfCbmETdiJ7Rp7uZJC9VkAfaOO+7gvffe4/bbb6dnz54Nfo7nxX7OvObmS2ukfi2tlfq2tFbq29Ia7erXRslWjGcmwPblPxbaYYx5j8G2b/FOeYwiO6l5GinNKisruc5R2CY5B3bKlClMmzaNW265hYkTJzZFlSIiIiIi0kJZWxZWDa+7Mb6fja9kI0Z9c0llvxTzAHvvvffywAMP8Nvf/pZJkybFujoREREREWnBTFzMxS/WeY/x7dv4fE0y1iZxJqa9YurUqdx///1MnjyZCy+8MJZViYiIiIhIPDAMPNNf9z1WsGnaInEnZmtgp02bxn333cdRRx3FIYccwtdff11ZFggEyM3NjVXVIiIiIiLSQrmegTF0EtbC52u9x+t3IrbtNGGrJF7ELMB+8MEHlf+76//v0qlTJ2bOnBmrqkVEREREpAVz0ntgdjsM47tPqpV5B5xGNJCJp/wqNYhZgH3qqadi9WgREREREYljRU4yaRMexpr/JOYXD0DpDkjtiHvIVdj9JrAzmtjcTZQWqsmO0REREREREYGKozELoskEhvyGxMG/wsDBxaLUTCcadZu7edKCKcCKiIiIiEiziNgQIfXHC47Cq9RNe1OLiIiIiIhIXFCAFRERERERkbigACsiIiIiIiJxQQFWRERERERE4oICrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhcUYEVERERERCQuKMCKiIiIiIhIXFCAFRERERERkbigACsiIiIiIiJxQQFWRERERERE4oICrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhcUYEVERERERCQuKMCKiIiIiIhIXFCAFRERERERkbigACsiIiIiIiJxQQFWRERERERE4oICrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhd8zd0AkbpYlknYLMHFwcJHwA3hOF5zN0tERERERJqBAqy0WG6gnIX5i3hkycNsKt5E55TOXDLoEnqn9MOMBJu7eSIiIiIi0sQUYKVFcgLlPLDk37y04qXKa3nlefz6/V9z4cAL+WXPszCjCrEiIiIiIvsTrYGVFscwID+aVyW87u6RxY9QSnETt0pERERERJqbAqy0OH6/xcsraw6vu7y79l38fquJWiQiIiIiIi2BAqy0QB5FkaI67yiMFGAYTdQcERERERFpERRgpcVxXTgy58g67xnd8VBs222aBomIiIiISIugACstjm27DGkzlOxQdo3lnVM60z2lB66r43RERERERPYnCrDSIgXtFKYd+xj9M/tXuT44ezAPjXmYQDSpmVomIiIiIiLNRcfoSIvkOC4pXhb3Hj6VMreE/HA+mQmZhEjCb4c0+ioiIiIish9SgJUWy3U9fJEQKYRI9bXBi/5wHYVXEREREZH9kaYQS1zwlFlFRERERPZ7MQ2wJSUl3HbbbRx66KEMGjSIiRMn8v7778eyShEREREREWmlYhpgL7/8ct544w0mT57Mgw8+SK9evbj88sv56KOPYlmtiIiIiIiItEIxWwP70UcfMXv2bKZOncrYsWMBGDVqFOvWrePvf/87RxxxRKyqFhERERERkVYoZiOw7777LikpKYwZM6bymmEYnHLKKaxevZqVK1fGqmoRERERERFphWI2ArtixQp69eqFaVbNyH379gVg+fLl9OrVa6+faxiQlhZqlDbWxuezgNjXI9KU1K+ltVLfltZKfVtaI/VrqY9h1F0esxHYgoIC0tLSql3fda2goCBWVYuIiIiIiEgrFNNzYI064nNdZXXxPCgsLGtok/bIrk+EYl2PSFNSv5bWSn1bWiv1bWmN1K+lPllZyXWOwsZsBDY9Pb3GUdbCwkKAGkdnRURERERERGoTswDbq1cvVq1aheu6Va4vX74cgD59+sSqahEREREREWmFYhZgx44dS1FRETNnzqxy/dVXX6V79+4N2sBJpCUy/A6R4E42ed+x3dhANFCMFdPJ+SIiIiIi+6eY/Zl9xBFHMHLkSG655RYKCgrIycnh1VdfZd68edx///2xqlakSbnBcp5Z/jTPLHuaiBsBICshiz8e/CcGpAzGsJVkRUREREQai+F5nherhxcXF3P33XczY8YMioqK6NWrF5dddhnHHHNMg5/puh55ecWN2MrqtLhc9oThd3l29RM8vOjh6mUYPHv8s3Qwu+G6MfsR2yvq19JaqW9La6W+La2R+rXUJysrGdOsYzPgWAbYWFCAlZYiEtzJKW9MoMyuuZ8c3OFg/jLib5jRYBO3rGbq19JaqW9La6W+La2R+rXUp74AG7M1sCKtXXG0uNbwCvDlli9xzGgTtkhEREREpHVTgBVpIL/pr7M8yZ8EcTW/QURERESkZVOAFWmgBDORrqlday2f2GsiQS+5CVskIiIiItK6KcCKNFDITeYvB/+lxpHYTsmd+GXfM3A1g1hEREREpNHojA+RBrJtl87BHvz3xJd4aNGDzNk0h6AV5JReE5nQcwKBSDKu5hCLiIiIiDQaBViRfeDZJqlGG64ddAORQeWAQYgknHIUXkVEREREGpkCrMg+8jwg6iNAxXpXp3mbIyIiIiLSamkNrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhcUYEVERERERCQuKMCKiIiIiIhIXFCAFRERERERkbigACsiIiIiIiJxQQFWRERERERE4oICrIiIiIiIiMQFX3M3QFo2w+8SNkuwXRu/6SfBTcaJNnerRERERERkf6QA24JZfo8yoxjbs/EZfhK8ZNwmCo+maRAJFPPQogd5Y/UbhJ0wacE0zu53NhN6TsQsT2iahoiIiIiIiPxAAbYFMgxwgmU8t/x5nv/2eXZGd5LsT+a0PqdxRt+z8IVDeF5s2xDxF/Obmb9mZcHKymuF4UKmLpjKyoKVXDv0eqyIQqyIiIiIiDQdrYFtgWx/Gb+bcwsPL36YndGdABRHi5m2ZBo3z7oRO1AW0/oty2Rp/tIq4XV309dOp8QpimkbREREREREfkoBtoUxDIOt4S18tumzGsu/2PIFm8s2YppGzNrgmQ6vr3qtzns+3TgLv9+KWRtERERERER+SgG2hfH7Lf733f/qvOfNNW8qPO4nTNPACZRR4t9BgbWFSHAnpj/G88dFRERERFoorYFtgbx6Fri6nhvT+g3X4qSeJzNz3cxa7zm006FEo05M27G/My3I8zbyh0/+wJK8JQAk+hI5q/9ZnN7rDMyw1iCLiIiIyP5FI7AtjG07HNdtXJ33nNDthJiGR8dxyc0YQK/0XjWWj+s6jiQzNWb1S4VSq5BJMyZVhleAUruUhxc9zLSlj+D5dZ6RiIiIiOxfFGBbGNf1aJ/QkWFtD6yxfHCbwXRK7IzrxnYaaSCaxP1H/4df9P4FQSsIQGogld8M/g2/PfAGrEgwpvXv70y/xwvLn6ckWlJj+QvLXyBixHYzLxERERGRlkZTiFsgXzTEHYfewWPLpvHyipcps8sI+UJM6HkK5w84v+IYnRi3wXU9fOVJXJZ7FRcOuIioF8VvBAh5yTjljVOHYfDDWl4P1wXbju3U6HhSTikfrv+w1nLHc1i7cy19EwbVO+VcRERERKS1UIBtgTwPzPIQF/X5NWf3nUTUjeI3/SR4SbjlZszDa5W2RE0CpBD44d+NNXHZCZSTF9nGy0tfpihSyNGdj2Zwm6Ek2Ck4joKsgUHADNR5T8D0N1FrRERERERaBgXYFsz9SXhsLbHODZbzrwX38Mbq1yuvTf9uOm0T2zJt7GMke5kNniJt+j3KzRJK7ZKK0G+ECDiJOE58jVKGSGZCr1O488s7ai73heiUnIMXjq+vS0RERERkX2gNbAtlWQb4HTx/BJ+v9XybfD6T+du/qhJed9laupUbPr2eiK+0Qc92g+U8t/opJr4xgYlvnML4105k8idXsM3biBlnpw7ZUZexXY6lc0rnGsuvP+h6Ak5iE7dKRERERKR5tZ5k1EoYBtjBUhaXzOdP827hprnX89bGV4gEiytCbZwrN4p5dMkjtZYvyVtCubf3AdbzR3ls2aM8uOgBSu0fX780bymTpp9NqVXYoPY2p0AkiUeOeZRJ/c8hyZ8EQG5mLg+OeZDD2h2JZ+vHV0RERET2L5pC3MLYwTJunnUTX275ovLa55s/56FFD/H4uCdIM7NjvgNxLLmGy8bijXXeUxQuItnM2qvnRswyXvj2hRrLSu1Snvv2WS7ocyluNH4+BHBdD384mfP7XMxZ/X4FeBieRdBJwom2lgnlIiIiIiJ7TkM4LYjPZ/LeunerhNdd8sP53DTrRqINnF7bUliej66pXeu8Jz0hDWMvcqZhGKzb+T22Z9d6z4frP6Sc+Hzv3KiBP5yEP5yMLxLSJlciIiIist9SgG1ByoydPL3sqVrLl+YtpdyL77M/A24ilwy6tNbyg9odxLf53+L6onvxVA9/fTv2WgEM4mf0VUREREREqlOAbUkMj+1l2+u8pdxupENYm4njuPRJ78tZ/c+qVtY9tTuXD72cv3/+dyLGngd1z4MOSR1J9NW+qdGEnqeQQFKD2iwiIiIiIi2D1sC2IKZn0TujN4u3L66x3DIskgPJEG7ihjUyz/VIC6Yxbdw0Zm+cTWm0lMFtBxMwA9zw8Q1sK9vGzmgRQVL3+JlBJ5Ebht/IH+f8oVpZTkoO47qOwymP37XDIiIiIiKiEdgWJeAmcdngy2otH9t1LAE31IQtihEP3lj1Br9+79cs2b6EDcUbuHfevVz94dVsKd0CQOgno6mG3yUS3EmZv4BooATLX3U6sGebjG57OA8d8zADsgYAkORP4uz+k3j0mGkEIslN87WJiIiIiEjMxGwEdsaMGfzvf/9j0aJFbNu2jTZt2jB8+HCuuOIKcnJyYlVtXHMcl97J/Zg8dDJTv56K4zmVZSPaj+TaYddhhv205HFEn9+glGIwPPxeENMO4HlVWxzyUji7/yT+9vlfmbNpTrVn5GbmEqQiqJumQSRQzMOLHuL11a8TdsJkh7K5YOAFHJNzLGY4ofJ1ZjRA39ABTDn0X3imAxgE3UTcsIFbz7tm+QzKzWLKnFIwIGQmEnJTsG1tmCQiIiIi0lIY3k/TRSM59dRTadOmDWPHjiUnJ4cNGzbwn//8h4KCAl566SU6d+7coOe6rkdeXnEjt7aqtLSK8FRY2DwbJnm+KBGrjK+2fkVptJRhbYeR6kvDFw0Rm+/WvqsImiW8sfp1/rvi/yiJljCs7TB+M/gy2vjaQbTqZyVuQhm3zL6ZuZvnVrmeEczgsXGPk+62xXU97GAJl7x/MWuK1lSr85d9z+DCfpdgRuvewKk+rj/Cgvx53PHlHZUjwJ2SO3HziFvolzwAw/ZXfI1+l3KzhOLoTnyGj5CVRIKTEje7Ajd3vxaJFfVtaa3Ut6U1Ur+W+mRlJWOatW++GrMAm5eXR1ZW1bM8161bx9ixYzn33HO58cYbG/Tc/SHA7mJZJoZRMTLbUoPrLk5CKRe/fxFrCqsGTdMw+ddR93FA8lCc3U65MQywA2WsKlrJ88ufoyxaxlGdj+KonKNJsFNwHA+fz2RW3gfcNOumGus0MHhjwpskRjIa3G6fz+Kros+46sPJNT7/0WMfpWcwl6ivlBdXvsBTy56kzK7oF52SO/GXQ/5Cj6TemJ4P16ZFn9HbUvq1SGNT35bWSn1bWiP1a6lPfQE2ZmtgfxpeATp37kxGRgabN2+OVbWtiuO42HbLD6+W32D6d/+rFl4BXM/lj7P/QLlV9UMHzwMrHKJ/4iD+OOwv/G3kHRzf4WT84WQcp+ILjhrlvLb6tVrr9fD4astXWFbDu3GZWcRd8+6s9fl3fnkntr+MF1Y8x0OLHqwMrwAbijdw8bsX8335Gu5fdi/fR1dgB/TLWEREREQkVpp0F+Lly5ezY8cOevfu3eBnGMaPn9zEis9nAbGvp7UojObz35X/rbU8rzyPgmg+vdKy9+q5ZY6H69UzPdfwSEkJNjjkby7PZ/3O9bWWL9uxjChhnlz2ZI3ltmfz+JLH6Z7anUkzJjGmyxh+N/L3pPrSGtagGFK/ltZKfVtaK/VtaY3Ur6U+Ru2Dr0AT7kIciUS45ZZbSE9P54wzzmiqaqUJuJ5XZWTypzqndCZoBdke3sr2yDaK7Z179NxEXyIn9jixznsObHcgngeF0QJW71zJ++vfZdGOBeRH83B32wSrNkY9PwI+w0dBuICwU/vZRV9s+oL+Wf0BeP/79/l4/cf1/uCJiIiIiMje26MR2Llz5zJp0qQ9euCcOXPIzMyscs1xHK6//nqWLVvGgw8+WK18b3he7OfMa27+3jH9AUa0H8Gbq9+sVjau2zgm9JzAn+f8mflb5wMwrO0wrj/oBtr6OoJt1fnsUe0PJic5h/XF1UdJT+p5MiGS2VK2mckfXsmKghWVZZkJmdxz5L109vfAc2pPkz5/gAFZA1iSt6TG8oM7HIzfrHuTqARfAhEnUvnvx5ZMY1Tbg/FHk+p8XVNTv5bWSn1bWiv1bWmN1K+lPllZyXUOBu3RJk7btm3jk08+2aMKTzzxRAKBH//gd12XG2+8kbfeeospU6Zw7LHH7tFzarM/beLUlAzDwPWFsc0oAH43iGH79mhqrmFAobWNX7z5c2y3Yqcm0zA5re9p/Kzbz7hgxgXYnl3lNT7Dx1M/e4qOVrfKNa81MU2Dcn8R98yfwntr38P2bFIDqZzd/2xO6flzXNfhopkXsrZobbXXJlgJvDz+FRIitU/ntSyDjc5aJk0/m6gbrVIW8oV49mfPkuhLZtKMX1XuUPxTZ+eezdbSrcz4bkZlva+Of73FnT27P/Zr2T+ob0trpb4trZH6tdSn2XYhhorwevPNN/P6669z5513csIJJzTCMxVgG53PpcDbxr3z7+XTDZ9gGAZjuozhssGXk+pm4dY/Exd8LmvDK7nl05vZXradu464i0RfIvfMv4fF2xfX+JLB2YO565ApWNGEGst3MQxwfTYRo5SoGyVgBgl5ybi2wff2Cs6ZUfvsgMsGX8bp3X6FHa2jm/tc8t2t3DP/Hj7d8AmmYXJU56O4YsiVpJKFicmykgX8ZuZvqq3J7ZDUgdsPu50L37mwMrz3z+zPvYdNxRdtWWs79rt+LfsN9W1prdS3pTVSv5b61BdgY7aJk+d5/O53v+O1117j9ttvb5TwKnvHMMDyg+1F8RGoMcRZlsEmez1n7z4C6cGM72bw8fqPee7450k329Z/PIxt0iPQj8fGPoFjRJny1RRO7XNqreEVYMG2BUSNMBZ1B1jPAyPqI0gqwR+uOYDPZ7B4y6I6Xztv6zx+3u00wF9n27PMDvxp+K3YIyqmAvvcIKYdwPM8HDz6JOXy/PEvMHXBVL7Y/DkhX4jjuh3Hsd2O5fezfl8ZXgEuGXQpQTcJh/g4H1ZEREREJF7ELMDedtttvPTSS5x22ml069aNr7/+urIsOTmZXr16xapqAVx/mAInj+eWPMfGko0MzBzIhF6nkOim4O227jRslvKX2X+pNn0WoMwu45/z/skfD7oV0617HShUHPsTcJPYYWzm3bXvcmqfU+t9jUfDJwB4HmQntK3znsyETCzDR32DyK7rYUQC+Pnx66zSNttHWzOHPx74Z2wjgmu6/N/yF7nonYuqvHfnDTiPgemDcCIKryIiIiIijS1mAfaDDz4A4MUXX+TFF1+sUjZixAieeuqpWFW933P9YV7//lX+Nf/eymtzNs7hsSWPMfXoqfRNGohnV+y+G6G81g2MAD7d8An2iDAB6g+wULE1+odrK773G4o30CejD8vzl9d4b25mLoHKMdW95zgug7IH4Tf9NQZwgLP6nYUbNWEfgvIuruthuBUh1zAMftnrTI7KOYrZG2eT5E/iiJwjCZGEGWn41yQiIiIiIrWLWYCdOXNmrB4tdTAMKHDyqoTXXWzP5qoPr+LVk14nYFdsMFTfOasee3AW60/suv+5b57j0sGXcu2H11YbaTUwuH74DQScfZtqG3AS+dvov3H9J9dXq+P0PqfTNtgBL9L4y7w9z8MXSaSzrxdndu8DQDS6J4uFRURERESkoZrsHFhpGpYfnvv2uVrLy51yFm1fiGVVfOuDZgKdkjvVen9uZm6VabX1sW2HI3KOBGB5/nJmbZjFXUfcRc/0npX39E7vzaPHPkrnYHccZx+n2toWwzJG8NL4lzm558n0zejLYZ0OY9rYaVyYewlWpO71tfvKdT2iUUfhVURERESkCcRsBFaah+3ZbCrZVOc9G4o3YGYaOA6E3BSuO/A6rv7o6hrvve6g6/ZqlNTzICOQxeiOo5m1cRYvrXiJpXlLmZQ7iQ5JHfCbfjomdSQhmoZjN846UcP2k2G046qBvyVCOX7Dj2kHcGMw8ioiIiIiIs1HI7CtjA8/A7IG1nlP/6z+lSOftu1yQPpQ/nHYHWSHsivv6ZjUkalHTaVLQo+9HiW1Ign8edStnJN7Lom+RJbtWMZtn93G26vfplNSDsFI6r6PvP6E54EXNfFHEyHir3/XZBERERERiTsxPQc2FnQObP3KAgWc/PpJVY522SU7lM3Txz2DP5xc5brlMyg3iyl1SjAMg5CZSMhNwd6HUVLT71FuFBNxIwSsAAE3EcO2iK8e13gMv0vYLGFHeAc+wyItkE6Ck4xT/dsUE/Her0Vqo74trZX6trRG6tdSn2Y7B1aaT6KbwtSjpnL1R1dTZv/4yyE7lM1DYx8mGE3B/cmGR47t4SeJNJIqr9l7OG3Ysgxct2Jjo925UYMAKRUraH8IafuSXX0+kzJjJ57hYXl+/E5C3Iy0usFyXl3zCo8ufqTye5IeTOemETdzYOYIzOierzMWEREREdlfaQS2BvH+yZBhgOOHIruQr7cuZHPpRvpm9KNfVk9CpIHjYcE+TeM1TYOIr5TCaD5ritaQFcqiU3Ingl4I0w406hRhwwA7WMbMde/x1DdPkV+eT7/Mflw2+HK6hLq3+PBn+eGtDa9yx5d31Fj+yNhH6Z0woNGnVf9UvPdrkdqob0trpb4trZH6tdSnvhFYBdgaxPsPlu2zuPz5+cxbW0CvtslkJPrZWFDOpsIyppw2hBVbdzIoJ52BHVIJuM5eT+k1TYNyfxHXfHQ1S3csrbyeFkzjL4f8hfRgBh1CHfFFQo0yXdhLKOfur/7J++vep9wpr1L2u5G/5+h2Y8FuuZMJosFiTnv7VArDhTWW52blcs+h9+GLhmLajnjv1yK1Ud+W1kp9W1oj9WupT30BVps4tTI+n8mc1XnMW1sAwMqtxXzxXT4bCspwPfjD60sY3i2Ti5+ax2XPzydqWXtdR8RXwuQPr6wSXgEKw4Vc+9G1uDj8ee4fsQP79ovJ8DlEg8Us2rGQgdkDuW/Mfdw44kZS/CmV99zxxT+IWC37F2CZXVZreAVYmrcU12yihbAiIiIiInGs5Q5bSYOUuR6Pz1lba3lhWZSSiEN6op/53xfw4rz1nH1gpz0+0sYwYEckj2/zv62xPOpGmb5mOmnBNGZvnsVR2eOw7b0/I9XzR5m7fTa3zr21yjreUR1GMeWoKVz1wVUURys2iFq2YxlDU0a22PWwPrPuH7OAGcDQZ0kiIiIiIvXSX82tiGGAYxgUl9c9mrez3CbBVzHy+sSctZTtRe4zTZPl+cvrvGdp3lK6pXXj6WVPUWbs3POHV9ZhsCWykZtm3VQlvAJ8tukznl72NOcOOLfyWqldimEYGH6XSHAnecZGinzbiAZK8fmav4sHjRC5Wbm1lp/Q4wQCbkITtkhEREREJD41/1/3rYjlt3BME8Nn1TlvO1aipsn0xZs5sFtGnfd1y0pke3EYgB0lkXp3BjZNA3/ARyDgwzQhKyGzzvvTE9Ipjhazo3wH3h7uZLw7xwrzwKIHai3/aN1HHNT+IAwq3uMBWQOI+kp5YsUj/PmzP/HdzjVsKdvMxrJ15Btb8AWa5nthGAY+n4llVf2xCjgh/jTqTyRY1UNqm1AbLh54Cdh7P5VbRERERGR/oynEjcEyKXE8Xpizlq++LyA7Jcj5h3SjQ2oQX4x3lt3FMGBHaZQp763gsfOG89r8jURqqHtsbju+XJuP/cN0215tkzFqSbCGURGKv8sv4//mrcd1PSYM6UTvTr0J+ULVRkd3Gd9jPFPmTaF/Zn/8FYfoYJoGhs/Dw8V0/XVOK44aEZZsX1xruYdHXlkeSf4khrQdQpIvmceWPkpaMI1juh7D3fPuZlPJJqAi3N4y8hY6+Lrg2bH5vMY0DcK+YjaVbWTZlmW0S2xLbtZAAk4i2CaO45FtdeK/J/6XR5c8ykfrP8Jv+jmh+4mc3uc0Euw0HK9p+omIiIiISDxTgN1HhmnybV4p5z7+BVHnxyT45sJNnHtINy45tFuThFifz+KjFZspjThM+3QN9505lD++toTNRRW79hoGHJvbnl+N6sIlT82rfN3ko3uRaEJNS2CjlsXkF77m8+/yK6+9+vVGJh3SiTsOu5OrPpyM41UNouO6jqMkWsLGko3cefhdWE6QSKCUdSVreXHRC5Q5ZYzpfAwHtz+YoJ1S7egYwzBwDJvMhEzyyvNq/XqTA8kc1fkorhxyFa5ns27nOrqmdeUvn/2lyn1L8pZwzvRzePHEF0k32lc7q3ZfmaZBiW8Hl75/Ket2rqu8PrzdcK496Do6JXQhWu7hOQZJbiZXDriGSwb8GoAQSThhA6cBo9QiIiIiIvsjHaNTg73Z3jtimRx376fsDNe87vS/lxxM99RAzDcY8vst/m/hJv769jcADOuSzoWH9SAxYOEzTVISfMz8ZisPf7Ka0oiDacBvjuzJr4Z3wXKqj4aaPotHPlvLfz5aXWN9fz2lL6P6mDy97CkWbV9EViiLk3qeRMSJcOcXd3LD8Bs5OHs0nuXyp8/+wKcbP63y+jahNjx27OOkOFm4rvfD2bVhwpRRFC1k2Y5l3Drn1hrrzknO4eFjHyHghDBtP9/bKyiMFPLnOX+uNfQe3flobhn2R4yof2/e1npFA6VcMvNCviv6DoCDOxzMRYMuYtH2RawtWkuPtB4cnTOGoJuE0cxH/Wjbemmt1LeltVLfltZI/Vrqo3NgG2BPf7BM02DhthLOe/zLWu/52cD23HpCv5qHOBtZoQvHTPm4yrWgzyQj0c8lR/RkRPdMvlqbT9BnMap7JkEDTLfmdoVNk5/9q/ZgHrBM3r/mCDYUFpIYChMKGqwqWEnQ56NvRh/8dggfft7Z/Ca3fX5bjc8YnD2Yu0ZPwRcNEQns5C9zb60Muv86+l88ueRJvtxS9b0N+UI8cuwj5Fg9cH4Y8d7K9xRGC7nk3UtqfW98ho+3JvwPfzip1nv2lmEYbHBW86vpZwEwov0IfpX7K274+IYq06stw+LOw+9kSNpBzXperf6DIa2V+ra0Vurb0hqpX0t96guwmkK8D0zTYGtRuM57thSFsd2meaOTfCanH5TDC1+ur7wWtl02F4V5Y8FGjuvflhP7ZeN5VEzdreOjC8fzag2vABHH5fv8Us565CsAQn6LnIwQqQk+ppyeSsBzKfPt5IllT9T6jAXbFlBOKcGgw+QPr+SbHd9Ult30yU3cesitjO85njdXv0lJpIQhbYcwrts40oMZOOEfG58RzGKnXfNuxznJOZzR7wz6ZfajzCmBgEfIS8GO7vvnNpZlsDJvReW/Lx50MVfOvLLa2mDHc7ju4+t4/aQ3SKTuDbZERERERKR22oV4HziOR592KXXeMygnjUATvcs+1+XqMb259aQBdEir2PE2LeTniqN78e8zhuJ3XWzbrbbutCaWYZCZFKi1POS3sHd7TlnUYcXWYuZ9X8A/pn+La5pgeGwt3VpnPVtLt7CmaHWV8ApQEi3h2o+u5emlT3PRARfxy36/ZEf5Dm759BZ8XtVpwEEniayELNonta9y/aB2B/HHg//IO2vf4YJ3LmDC6xM4c/oZzNj0Jm6g7g8e9oTrerT7oc4+GX1YU7iGUru05ns9l9dXv47fr92GRUREREQaSiOw+8DzPNomB+iZncSqbSXVyi3T4OxRXXCbYPpwZZ22w/j+2RzdNxvXA9OARNPAsZ16j8vZXaIJ54/uxl3v1Hzm6ylDO/H24s01lk1fspkbxvXFb1r0TOvJ0h1La7zPNEwSfAnM/H5mre1YUbCCZ5Y9Q8fkjkz/bjp3HHYHITcZe7evxrUhMyGbvx/6d7aWbSUtmIaJSbukdvz1s7+yYNuCynvzyvP46+d/pXhoCad0+QVutOGfLriuR4/UHqT4U8gOZfP9zu/rvH9lwQpcwwaa/oglEREREZHWQCOw+ygBj2nnHET3NlXXVob8Fg+dfSApvqZ/i23bJei6hLyK/3XqOLKmNo7t8vOhnTg2t121soN7ZvGzA9rz6vwNNb/W9bBdl6CbxKWDfl1rHUfmHMnSvKUk+hPrbEuiP5GgFeR3o37H4Owh2Hb1KG7bDoWRQu6Zdw+XvHsJF717Eb9+79ec3Otkzux3ZrX7H1r0IOVmzaOleyPgJDHlyHvID+fTOaVznff2TO+J6WkEVkRERESkoTQCu49c1yPZNHj6/OFsLgqzZGMR7VKDDOiYStDzoBGO0PH5LMpcF9eDkGXiNiCQNqhe2+HPJ/bnqjG9mb5kM47rcWxue7KSA0yaNpdwLSPLGYl+ApaJ63r0z+rHBQMvYNriaXi7jZoe0OYAfpX7K6754BqmHDUFA6NK+e5+0ecXlEXLeHrZ0wzbmE5a7igMs+KDAdM0CAYtvi5YwFUzJzNoUxIbO1a8bkPxBm7+9GbuOuIu5m2Zx7f531Y+s8wuI698Ox2M5H16jzzboGeoL3cedhelTkmt5+OahslJPU4mGm2c0XjLMgibpYQpw3ZtQr5EQm4yTrRRHi8iIiIi0iIpwDYC1/UI4NE1OUCP/tl4nrdH60zrYxgGUcvkg5Xbeeqz7ymNOBzWuw3nHtKNZBO8pjhf1nFpGzQ5f0RnDAOiURefZXDuId35w+tLanzNJYf3JMmEsK+Ey2dezuhOo5k2bhpfbf2KcrucIW2H0Cm5E3+Y9QcKIgV8uP5DzhlwDo8vebzas47IOYL1O9fzx9l/5NfrhrD1i4coH72MjuefjxFyyQtvp6A4nzu+uINffdWO0WvTeLNfHm/m/niczkMLH+KMfmfw5zl/rryW7E8m2Z+E5Zn7/L3ybJMQ6aQE0/jPmP9w6XuXUu6UV5abhsk/Dv0HiV7qPtVT+TyfxxZnPX+a9afK6dmpgVQuGHgBJ3QdjxlOaJR6RERERERaGh2jU4OWsr237bO46Kl5LN5YVOV6gt/khYtG0Tk50ChBuT6WZeIYBq7nETQhP+qxcEMhX6zZwbOff8+uI24NA84a0YUrjuqJH5cXvnua+xf8GwCf6WNA1gD8pp+VBStpm9i2Sqi8fvj1tAm14emlT7OmcA1tk9ry894/p11iO27+9GYGbkjgotm7TWc+eCBvHRLBNC1O6H4CZY+/RvDzH3cE/s+oDSzo+OO65AfHPsgl715CaiCVq4ZdRafkTqwtWkuiL4lhbYcRdBMx7H0/I9awPMK+Yj7d8AmL8hbRPa0Hx3YZS9BNbpRzYA0DSvz5nPrmL2oc6b100KWc3v0svGj1qcotpV+LNDb1bWmt1LelNVK/lvroGJ04ZfksXlm4qVp4BSiPulz14gKePm84te8TvO8MAyKmycLNO3nm83WEbYfjctszpEs6D3y4isP7ZPPcxaP4ZtNOXM8jt0MqSzcV4Tgejm8nLy5/ofJZtmtX2UypIFxAl5Qulf++44s7mNBzAncefhflThnf7PiGZ795lgXbFjC83XB+e+x12NYMij6pOCeWOYtJ31jIM0O3kPriZ4xem1b5rFldC1nYoeqmWgYGSf4k7j7ybv6z4D/M2zKvsswyLC4fcjnju07AjAT36T3zHIOAk8K4DuP5WaeT8DyPcq+MsFlCxBclwQwS8lIaPtXX5/LYksdqDK8Ajy15jFN6TsTPvk2NFhERERFpiRRgW6hS1+XJz9bWWr5mewmlUYeAFZsdbU3TwAj4uO/d5bz45XqcH4ZZZ63MIzs5yNQzhzL5+a955NM1dMtKBAzW5pVgux5H9G5Dgt+gMFzI+O4TOKHrL3GdBCzToNDezDPf3s+C7QuwvR/PmR3VfhS/GXwZ/nASCWYqw7KSOWD0IAwMfF4Qv5OAe/45fFOwhI6L8gEYvTatSnAF+H5ACk/3WY6329tyULuDWJq3lDP7nckL375QJbxCxTmt986/l/6Z/emfOKRRRrWjUQfTNCj27eD2L/7G7I2z8fBIDaQyKXcSE7pPbNBU3zClfLz+o9rLnTBby7bSyVSAFREREZHWRwG2xTIoLK17mK4s6pJuNe6utqZpEDYM1hWU8+nKDeRkJPLsRSN5a+EmnpxTEai3FYf557vLOXd0N/7+v2+qHSHkuGC6Fnceej9frUjk4kfXURKp2HgqJyPETSf8kW4pz9EpuRP3HTWVrildCBnJ+MIJeB44jovlhLAIVT7TxSMSKOcffeZzWlFGteAK8Hn3UoZecjnehz8G1KAV5MbhN5IWyCDqhTnx1RNr/drvX3A/d42egs8J1XrP3gj7d3LO/yaRV/7jetyiSBFTv57KtrLtnJd7LuVOmJCZSIKXjBPds9n8frPuqc5+Uz/WIiIiItI66RidFspnwNAu6bWXmwYZifu+ZnN3pmlQisHZj33B6Q99xn0zV3LnjG8546HPyEoOcvUxvSvv/XzNDoZ0rt6+tilBEv0mASOJpWsy+ffMH8MrwPr8Mq58dgUnd7uIFNI5IOlAku02WNGK8FqXiBsh7EV4ZuiWGssfH7ye1IQ0TMPENEyOzDmS549/gSyjPVZ5iOJICa5X++jq8vzluEbj7PDs8xm8/d3bVcLr7v5v+YtsLtvMnfPu4KvtX7LFWYedUFrnfH+AEMmM7zm+1vK0YBoZwax9aruIiIiISEulANtC+T2vSmD8qYnDOhFs5O9e2DC48vmvq42ouh5MeXc5/Tqk0j71x2mvkRqO0bl+XF8SLYNS2+PBj9bUWI/jevz7/XVEbR+uu+d7iAWsIIlWiLPmVz+bFuC8BZ3xGRbPHv8s/ztlOr8/6M+ku+3wnIo3KuSre2S1TWIbDBpnSnY5pby79p1ay13PZVvpNg7rdBj3L7ifC9+5kD/M+R3rndV4/kitr3OiMLFnxeZWNblp+M0EnaQay0RERERE4p0CbAvluh4dU4Lc+8shJAd/nBJqGDB+UAeuGdMbo5ZzWBuqNOoyf11BreXPzv2eXxyUA4DfMkjw/9h9MpMC/H3iAQzrmsHiLcUUhW2Kw3Ztj2L2yjxqL61Z0E7g+m+H1jh9GGD4mhBr73+YLH8W/vJkjIif3TfZTjBC5Gbm1vr8s/udTchtpLWjBphm3T9eYSfMk0ueZN3OdRRFivhs02f86n9n8dn22eCr/XubYKfyxLgnObXPaSRYCXRN7cqlgy7llfGvMKLNwbh7+8aKiIiIiMQJLZZrwUzHZXSXdKZPPpR1+WWUhm16ZieTYBlYduNMdd3FMAw21bOd+cqtxYwb0B6AiUM70SUjxLtXHY6LR8AymfrBSm58eREAz1w4ss5nJQTMeqcM785zXTY/9gTtF26vvDara8UuxGfNb1cZajPnb2Lbg8/T7pzzMH4SIP12In879HbOm3Eu+eH8KmUj24/k6M7HYJc3zqlSCV4SE3pMYPH2xTWW+0wfOSk5bCrZVK3strl/4dXxr+G3aw7TjuMScFK4PHcyFw68gFWFq3h7zds8uexJJvQ8hQ6hTvijob16f0VERERE4oECbAvnOS5BoHdaAoZRMTKL0/jJxPM8spLrPpSnfVoC+aURDu+TzVVjemNFHdItKMFk3L2fEN5tRHh7cZjOmSHW7ag5FP9iWA4hE9w9HEQuWfA1RbM+qfy3b/QQfEclcb5pMfaEY3Cemk7Rx7MBKJr1CclDhpI8dFiVZ7iuR4bRluePf4GZ62fywbqZhHwhftn3DHqm9sYXDtFY76xtuxze6Qg6pzzBup3rqpWfm3su09dMx6uhxjK7jDVFa+gXGlTrFGvDgLBZym9m/oZVBasqr7+y8hVGth/JXw/5G2Z542xGJSIiIiLSUijAxgnP82I+opYe9NEtK5Hv8kprLD9vdDf6d0hl4uAO+B0HDzB9Jk/PWlslvAI8Nus7bj6+P5c/O7/yCJ5d2qUGOX90dzxnz0eRk4cOI3P8yex44zVSRx9G+3PPp98PU6ujUQf3VxeCY1E06xMyx59cLbzu4jgefieZEzpM4NiOx2FgYbk+nHBNUXLfBKLJPHLMozyy5BHeWPU65U45OSk5XHTARQSsADd9clOtry21a/4e7OL5bKZ8dXeV8LrL3M1zeXX1q5za9cw93tlYRERERCQeGJ4XXxMNXdcjL684pnWkpVWMXBXWM6W2tfH5LDaWRTnz4bkUllU9wmfCkI4cN7A9C9cXcsHILrg/TGGOmgYXPTOfJRuLqj3vpMEdOX14Zx6btYZPV24n5LeYMKQTE4fl8ME3Wxg3oD1pAQtrT4dhgeL5X5E0eEi16cFQMc24ZMHXtYbXXQwDPJ9D2Cih3CknwUog6CVi2L6YfEhg+F3CZime54Lh8c7ad9hcupnnvnmu1te8cfKbJEUzay0PB4oY/9qJVc7S3V1GMIPnf/Yi/siPGzrtr/1aWj/1bWmt1LelNVK/lvpkZSXXeTKHRmBlNx5r80p46OwDmbc2n6++zyc15OdnAzuwPr+UK56bz5DO6Zw9vHNlx7EMg9RQzcf5LFhfwHmju3He6G5c2a6E9R168+432/jFA7MJ2y53v7eCm37Wj5Ny21I+/6t6gydQ5z2Gae5BeDWIBov594KpvLXmLWzXxmf4OLbbsVw15Gr8kWQa+zMdL2oSoGI9q2kZjOl8DCVOMa+ufJUyu/ov76M7H03IqHsn4bBTXmt4BcgP5+PSuOukRURERESamwKsVHJdj6BlcvpDnzGyeyZ92qVQHnW48aWF5JVUHO3SNiWI3zTYdZyqHzjvkG7MWVX1vFPTgDt+PogrnpvPP5LXsvOdN9nYeSBHnX8hpwzthOd5vP/NVqa+v4Jhc14nMudTMsefTJuTT2m0r8fyQ7lZzM7oTnymj5CZSMAKcPWHV7Ekb0nlfbZn8/aat1lZsJL7j/oPpusnQjkACV4ibrTxNut2HY8kN4OkQArTjp3GjZ/eyNqitRXtNSyO6/4zrhpyNWZ5sM7nBK0QftNP1I3WWJ4dysbEarR2i4iIiIi0BAqwUsl1Pfq1TyUpYDF3zQ7mrtlR7Z4LRnfHcN3K9aKO43JAh1QO792Gj1f8uEPwEX3a8unK7Qwu/A5mvwVA/3WL+eL+B7g362ACfoufDWjPg8GlRObMAmDHG6+R0KXrHo3E1vu1BMp5/fvXeXjRw5REK8617ZjUkT8c/Ad6pPWoEmB36ZjckcJoAQ8ufJBPNnyC3/RzXLefcW7uuSQ6abiNNKDpeUDYR0erOw8f/SilbgmldikZwQwCbgijvOYR7d0leImM7zGel1e+XGP5eQPOI8FLxmn0lb0iIiIiIs1H58BKFUE87j9rGH6r+rzzcw/pRofUYOXOuJZl4pgmeC7/PHUw9/1yCINy0sjJCPHL4Z2Zvngz27r0I3rgqMpnDN/2DRdu+pRo1Cb7fy/gfT6rsizt0MNIGjxkn78G0w9vff8G93x1T2V4BdhYspHL3r+ME3ueSLvEdlVe0zO9J6f1OY1fvvVL3ln7DmV2GUWRIl5c/gJn/O+XlFgFGLVPxW8Qx3HxRRJJtbNpT1eC4VSMaP3hFcCLWvx60G8Ykj2kWtm4ruM4tstx2sBJRERERFodbeJUg/1+cbllUux4PPv593y9roC2KUEuGN2dDqlBfI6LYUDUtFi0qYjHZn9HSdhmdM8szhjRhaBlELVdMAwmPfYFtuvyyKQDeemG2zm8YEWtVRYOHE6/K39Dut/E2cdjgqLBYn7+5kSKozX3k0M6HsKQ7CHcv+D+ymu/H/V7Xvz2Rb7N/7bG15zQ40SuPeAGiLacabmGAba/jC3lm3l/3fsELD9juxxLmi8DK5JQ7f79vl9Lq6W+La2V+ra0RurXUp8Ws4nTjTfeyCuvvMKYMWO4//7763+BNB/HJRm49JBuRFwPv2lguC6uU7HwNWpZXPfSQmat/HHd68L1hTw+ey3PXzSSzsl+PMNg3IB2vLloE8u3lvBQ+0NxPTiysHqIXdRxAO6Yidz+xJc8f+FIAvs47bU4urPW8Arw+abPObPfmVWudUntUmt4BZjx3XSuHDwZP3VvrtSUPA+sSIhOVg8u6N0LqDhSyIs0c8NERERERGKkSaYQz5o1ixkzZpCcnNwU1UkjcW0Hn+vi2U7ltGGfz+TTlXlVwusuZVGHy56bT5ln4NoOZ47oQkqCj+JyG88weLTD6Brr+V//Y/AMk3U7ylhfUF7nJy57wjLr/lwmwZdQbfMj16v7KB/btSl2dlIWKMDzt6yE6HkekYhDJOLE/KxgEREREZHmFPMAW1JSwu9//3uuuOIK0tLSYl2dxFip4/HorDW1lq/PL6MoXHG8S6IB9542lH4dUrDwuGDTrBpfc97GT/lidUUgXrShELOGM173RshMJCclp9byk3qehN/00ybUBoCshCzSA+lkJWTV+ppBbQYxd9NnnPjqCTyxfBpuMLxPbRQRERERkb0X8wB79913k5aWxjnnnBPrqqQJuFB5pE5tisqiGAa4jkum36Btop/b7a9rnD4MkL1sHn0+fgXD82ifmrDP57CG3BT+fPCtWEb19aptQm2Y1P8cBqUcyDPjnuV/E2bw7HHP0ynYhcsGX1brM88/4Hxe/PZFPDyeXPYkc7Z8is+nPdBERERERJpSTNfAfvXVV7zwwgs8//zzWFbjbH5jGD8u/o4Vn6+irbGuJx75ow6DOqXx/jdbayw3DOiQHiI1peIcU8912f7Ag3RaMb/yng/TevNYx9HcUjqPPmsXAXBEwQpMw2Bo56NITq77DNQ9kRvK5cUTX+S++fcxe+NsEnwJjO95EufkTqJNMBvPgySqbnR0TJdjiHo2//56KkWRIgDaJrblyqFX8tnGz/iu6LvKex9c+CCHHDea9KSMfW5rU1G/ltZKfVtaK/VtaY3Ur6U+9Z38EbMAG4lEuOWWWzjrrLMYOHBgrKqRBjAMsF0PqwHnwiT6LSYf07vWADumXztSgj92q4J589j+wYeV/0467HB+9otfcaTtMXtlL3a8GGFUXsXmSYflL8dYsgBGjtijthSFbYrKbbYUlZOZFCAj5Cc9VHEMTcAM0i25B7cefBtlThmmYZDqT8Vn+GtdJ5rkS+GUnqcwpsvR5IfzKSgvYGd0J8998xxfbP6iyr3ri9fjePYetVNERERERBrHHgXYuXPnMmnSpD164Jw5c8jMzGTq1KmEw2EmT568Tw38Kc+L/bbbjbW9t2WZlHlQEnWI2C7piX4SDPDsujcMihXTMinD4OMV2/hkxXaykgKcMaILmQk+AnhEMCh1XApKo2QmBQiZBj7Pqzalt12inymnDeamVxZRHv3xazm0Zxa3npSLUx5h11tn9hlI5viT2fHGa6SOPox2Z5+L4/exqSjMmu2lbD7weDqvSaTTivlknjQBf78D6n3fTdOgFIPJLyzgq+/zK6/3aJPEf84aRpugiQMURT2enLOOJZuK6JiewAWjA7RPdrGcut9/z2+SYCVw8bsX49WyI3KKPwXPia8t4LVtvbRW6tvSWqlvS2ukfi31ycpKrnMUdo/Ogd22bRuffPLJHlV44oknsm7dOk466ST+/ve/c8QRR1SWnXTSSfTp04e77rqLhIQEAoHAHj1zd3FzDqxlsGJHOde/tJD1+RXPCfpMLji0O5NGdsGyncZo6h4zTYNtEZfTH/qMwrKqO/BeP64vPxvYntcWbKRv+xR8psHX6wpZuXUnvzu+P4l4lbsQV7JMwsDyLcUUlUXJ7ZhKit/C77k1jnAWz/+KpMFDMH7YoMk0DTzTIOqCH5ed874ieeiwPfpaopbJ2Y99yapt1ftBeqKfNy8/lMUbC/nNM1/x02b/aXwuJw/qgOm6RCLVvwdOsJx/L7yPHund+WLzF3yyoeZ+f96A8zivz8XY4fjZ9lf/wZDWSn1bWiv1bWmN1K+lPo1yDmx2djYTJ07c40rXrFmDbdtcd9111co2bdrE8OHD+dOf/sQZZ5yxx8+MJ4ZhsD3sMmna59i7Jaiw7XL/h6vwPI8LRnVp0pHYcgwueurLauEVYFT3THaURtlUWM60T9cQtl0O7d2GCw7tziOzvuOSQ7vh/+lIpOMSBAa3TcIwDBzHBdet9QTXn4ZT1/XA9fABXg3ltTFNg/UF5TWGV4CC0igfLt/G9MWbq4TXgZ1SueG4fqzeVsLtM5bTIS2BkwZ1IMlnYrkV3wfLMlmcv5hXV73C9cOv5zdDfsPy/OVsKd1SpY5+mf04usvRlHsl+Ejco3aLiIiIiMi+i8ka2GHDhvHkk09Wu37NNdfQpUsXrrrqKrp16xaLqlsE1zS4570VVcLr7qbN+o6zRnZh37cq2jOGATtKo6zbUf2TrpHdM0kO+Tnz4c/YXvzj7sLvL9vKx8u3cf9Zw9hWHCEnyV99FJYfgmitsbXxWZbJnNXVz6Dd3YffbqV7myQ+XbkdgD7tkrn5+P5c/ux8duy2g/K976/ghuP6csqgDliOS8Qs5dEljwLQM70nN35yI7cdehvL8pYxe+NsfKaPMV3GkJWQxeQPJvPkuKcUYEVEREREmlBMAmxmZiYjR46sdj0YDJKRkVFjWWsS8WD26u21lodtl/ySKO0TGmdn5voYhsGWovIay35xYA4Pf7y6SnjdJep4/P1/33L7xIH4fGaNU25N08A2DGzXI2AZGE7NU4gbi+d5ZCTWPfU8LeSnPPpjW68c05vr/7uwSnjd5R/Tv+XgHlnkJPpxcNhcsrmybG3RWi565yKGth3K0LZDcTyH5755juX5ywFwveZZyywiIiIisr/SQZax4EHIX3c4DTThGaKu69Epo+atynu0SeKNhRtrfe2qbcWE/FaNodS2TJbmlXHdK4s576l53DZjOVsjLq4Vu6/Ntl2O6NOGOqbFc8aILsz8YZfk1JCPoM+sXIdckwc+WoVrGvjw0SOtBwCrClYxOHswAPO3zmfa4mk8seSJyvDaNbUrQVPbv4uIiIiINKUmDbAzZ87k/vvvb8oqm0WiBacd2LnW8vapCSQHm2b0dZe0oI9+7VOqXS+LOoTrWYvrs0yi0aqjr7Zl8q8PVnH2tM/5ZMV2lm8p5rWvN3LCfZ8y+7t8vLoS5j5KMAxuPK5fjWU/H9aJDmkJBH/4gCArKciGgppHn3dZu6OUqOvhcxK4ZNClALzw7QtcdMBFmEbNPyLXH3QDITd5H74KERERERHZWxqBjQHHdvnl8M7k1DDqaZkGd/xiEKHY5bsaBfF44FfDqrVp4fpCRnbPrPV16Yl+koNVZ5obhsGmojDPfbGu2v2eBze8tIgwsfsCTdflpAPa8+LFozisVxs6pCUwrEs6D519INcd04eQ5/HUBSPonBkiryRMp/SEOp/XLSsJv2nguh45oS5cM+wavi/6nunfTefuI++md3rvynu7pHTh30ffT7+UAdjNdBySiIiIiMj+ao+O0WlJ4uUYHdM0KDdMnvtiHS98uY7SsM3BPbO45pg+ZId8UM9ZpLFgWQZlGKzaXsJnq3eQlRzguNx2bC+OcMp/Zlc7cgbgDyfmMmFAW5zdwprps7h1+je8tmBTrXXdc/pgDu+aUbE7cYyYpkH0h/W3lmEQNKisb9cZvJuKwiQELC59el6t04hf/c0h5CT6K8+7df0RIkYpn2z4FMs0Gd5+eMVIrGcQNBJIcJPjMrxq23pprdS3pbVS35bWSP1a6tMox+jI3nNdjwAO54/ozC8PygHAb4DlenjNEF4BHMcjgMeArEQGt0vG8yAadWif5GfaucO5+eVFbCysmG6bEvRx5ZheHJ9bNbwC2J5HXkn143h2t704glHXCcSNwHU9LDwsAM9j90nOjuMSALqlBPD7TaadcxBnPDyXvJ9s5HTjcX1pnxyo8j3xOUESfImc1GUijuNg226VHZht4i+8ioiIiIi0BgqwMebYTpXjclrCcLfrelV2FDZdj8Ftk/i/i0dREnVwXI+UBB8hw8C1q+88HDAMRvXIrDympiZDctJjOvq6pzyv4mttEzB5/bJD+Or7AmavzqN9agLjB3UkyTIwf2inYRhETIPv88t4c+EmfJbJKUM60jY5gK9FfOdERERERPZvCrACVOzuGwAClgGWAY5b6zijbTucNLgj//5gFWXR6gG3Z3YSHdOCzTbSXJNdo8+ju6RzRI/MymC7a960YUDEMrnk6Xks2lBU+brHZ3/HUX2zuX3CQKwawryIiIiIiDQdbeIkDZJkwLMXjiQ7JVjlem6HVB47ZzjBFrq02nFcwmG72pm2nmVy93srqoTXXT74dhsvf70Rq56jkUREREREJLY0AisN4jouXVICvHLpwWwuCrN1Z5huWYmkJ/gI4lVZMxoPyl14/evaz8N99NM1nDSoA8Fa74gd0zRwrDBRMwwe+LwAPich7t5jEREREZF9pQArDeY6LkGgW4qf7qmBikDl1j71eG8ZhoFnGdgu+E3AcYnVwG551CVSx5TnvJJIjbs0x5pheeSzlSnzpvDJ+o/x8BjRfgTXHngd2b4OYGtUWERERET2Hwqw0mCmz6TMrdiYygQSfUajHS/jmCabiiM8MmsNG/LL6NMumfNHdycjaFVuutSYEvwmAcusNcRmJQUwDZp0Fy7TNNjBZs58+0zKnfLK659v/pyz3j6Tx8Y9Thd/rxaxWZaIiIiISFPQGljZa4YBts/iiS/Wc8LUWRx254ec/shcpi/fjuPb9xFBxzJ57qv1nPKf2by1cBNfryvgxS/X87N/fcKnq3fg1XEuVEMlmHDSkI61ll9waHcSrdgeC/RTthXmn/P+WSW8VpZ5Nn/7/K+ErZImbZOIiIiISHNSgJW9FjFNLn9+Pv+auZLCsorzYNfnl3HTK4u578NV2GbDu5VhQGHY4d73V1Yr8zy4/uVFhGn8IGk4Ltcc05sDOqVWKzuqbzYTh3TEqWHH5ViyzTCzN86utXzZjmVEvOrhVkRERESktdIUYtkrlmWwdFsJ89YW1Fj+zNzvOX90N1IbmDF9fotnZq2utdxxPT5avo0T+mU32nRlAM+omB/8z1MHs7kozIwlmwn6TCYM6UR2kr9ZjtBxPQ+vnjnLrqfpwyIiIiKy/1CAlb3imSbPfbGuzns+Wr6NUwa0x25A6HM92FIUrvOezUXlGEYjjsJaJgs27+SK576mLOrQMS2BIV3SaZuSQGain4DnNdrGVHvD7wU4oM0BLNq+qMbyzimdCZoJTdwqEREREZHmoynEsnc8sOvZNChqezQ0X5rAiG4Zdd5zYNeMRt24qDDqcsnTX1H2wxThjYXlvL1oM4/P/o7zn/yS8hhMWd4TATeR3x74W0yj5h/T3x50PSE3pYlbJSIiIiLSfBRgZa+YeIwfVPtmRwCH9WnToNFXgGjU4djcdiQGat4Mqm1KkD5tkxvtDFTTZ/H47O9wanne8i3F5JVGGxzI94XjuHQKduOhYx6iW2q3yuudkjtxz5H3kpt6QKNOoxYRERERaek0hVj2im27DO+aQefMEOt2lFUrP6x3GzISfHj7MEKaaHg8e+FILnjiS/JKIpXXczJCPH7ucEJAY61IDbsuizYU1nnPii07yemR2SzH1Ri2jz6hgTx49COE3TI8PBLMECE3BTuq8CoiIiIi+xcFWNlrQc/l2QtGcuubS3n/m624HgR9JqcemMNlR/bE7zj7dFyq63h0Tg7w+mWHsHZHGRsKyujRJon2KUFCBo0aJP2mQXZKsM572qYm4HlNeADsT9i2i59E/CT+eK1ZVuWKiIiIiDQvBVjZa67rETLgtvG5/O6E/oRtl5DfImSCZ+9beK2sw3EJAH0zEuiXGcJ1PTzXbbSR111M1+PCQ7vz3rKtNZanhnx0z0rEdRUYRURERESam9bASoN4nofpuCR6HhmWQYLr4sVgPabrejiOG7MRUNf16JYR4qwRXaqVBSyTB846kASj+UZfRURERETkRxqBlf2e5bhcfmQPThnaiWmz1rC9JMKBXdI5/aDOJFvGPq3nFRERERGRxqMAKwL4HJfuqQFuPaE/tusRsAycqIPnaPRVRERERKSlUIAV+YHreuA6WIAGXUVEREREWh6tgRUREREREZG4oAArIiIiIiIicUEBVloly2cSNk2KMSg3TfCZGEZzt0pERERERPaF1sBKq+P4LF5ZtIkHP1pNXkkEv2UwfnBHrjmmDyHPrVjrKiIiIiIicUcjsNKqOJbJfR+u4m9vf0NeSQSAqOPx8lcbOPORuZQb6vIiIiIiIvFKf81Lq1LmeDz7+fc1ln2/o5RZq7bj81lN3CoREREREWkMCrDSaliWyby1+Xh1zBB+ef4GwppCLCIiIiISlxRgRUREREREJC4owEqr4TguB3bNqHO34YlDOxE0tR2xiIiIiEg8UoCVViVkGZw5okuNZV0yEzm0Zxts22niVomIiIiISGPQMTrSqliOyxVH9qRrVmKNx+gEPRe3uRspIiIiIiINogArrY5lO/xiUAeOH9CeqOPhswwSTDAch6bcv8nvtzAMsG2dPSsiIiIi0hgUYKVVcqIOQSBoAK4HLjRVhHRMk1LHY8b8jewoiXBo7zb0yk4iwfMUZEVERERE9oECrEgjciyL5+et5573V1Ree/jTNeRkhHjmgpEkmyjEioiIiIg0UMw3cZoxYwZnnHEGQ4cOZejQoUyYMIH33nsv1tWKNDnTNFizo7RKeN1lfX4Zlz83nzDaAVlEREREpKFiOgL773//mwceeIBzzjmHK6+8Etu2Wb58OeXl5bGsVqRZRA2DqR+srLV80YZCSqIO6ZZCrIiIiIhIQ8QswC5cuJCpU6fyz3/+k+OPP77y+mGHHRarKkWale16rNleUuc9W3aGycgI4XmaRiwiIiIisrdiNoX42WefpUOHDlXCq0hr5jMMOmWE6rwnOzmo8CoiIiIi0kCGF6O/pseMGUP//v056KCDeOKJJ9i8eTMdO3bkzDPP5Pzzz8cwGjaN0vM8olGnkVtblc9nAWDbsa1HWp/Za3Zw7mNf1FjWu20yz1wwgvSQv4lbVUH9Wlor9W1prdS3pTVSv5b6VBxFWXtWjNkU4q1bt1JQUMDChQu5+uqrad++Pe+++y533HEHRUVFXH311bGqWprBrk62v48uDuyYyqSDu/LknLVVrrdJDvDg2Qc2W3gVEREREWkN9mgEdu7cuUyaNGmPHjhnzhwyMzMZOHAg0WiUF154gSFDhlSWX3nllXz44YfMmTOHpKSkvW6w63rk5RXv9ev2RlpaxTTQwsKymNYT70zTIGyYrN5ewofLt5Ea8nPCwPYk+Uws123u5jUb2zLJL7d58cv17CiJcFTfbEZ0yySEh+M03/uifi2tlfq2tFbq29IaqV9LfbKykjHNfRyB7dGjB7fffvseVZicnAxAeno6ZWVlVcIrwOGHH86MGTNYtWoVgwYN2qNnSstjmgalGEya9nmVjYvufnc5Fx/WnfMP7obl7J9TQ3yOS9uAyTVH9sD1wHNdbNth/3w3REREREQazx4F2OzsbCZOnLhXD+7Tpw8LFiyodn3XgG9D18BKyxAxDK79v4U17rr70CdrGNk9i6Htk5t1xLE5eR6Ew3ZzN0NEREREpFWJ2S7EY8eOpbi4mHnz5lW5/vHHH5OYmEjv3r1jVbU0gXLH4/M1O2otn/rBSsr37+WwIiIiIiLSyGK2idPPf/5znn/+eSZPnszkyZPp0KED77zzDu+88w7XXXcdCQkJsapamsCOkkid5WvySnAAbVkkIiIiIiKNJWYBNhAI8Nhjj/HPf/6Tf/7znxQXF9OtWzduu+02Tj311FhVK00kPbHuaJqTEcJCQ7AiIiIiItJ4YnYObKxoF+KWIWqaXPrcfBauL6yx/P4zhzIqJ22/XQPbEqlfS2ulvi2tlfq2tEbq11Kf+nYhjtkaWGndgnjce/oQ2qdWnwp+6oE5DOucrvAqIiIiIiKNKmZTiKV1c12PNMvkpUsP5ut1BbyzbAtpIT+nH5hDZqIfy9ahMSIiIiIi0rgUYKXBHMclABzcOY3R3TIwDYhEbDyNvIqIiIiISAwowMo+cxxX04VFRERERCTmtAZWRERERERE4oICrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhcUYEVERERERCQuKMCKiIiIiIhIXFCAFRERERERkbigACsiIiIiIiJxQQFWRERERERE4oICrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhcMz/O85m7E3vA8j1i32DB21RXbekSakvq1tFbq29JaqW9La6R+LfUxDDB2dZSayuMtwIqIiIiIiMj+SVOIRUREREREJC4owIqIiIiIiEhcUIAVERERERGRuKAAKyIiIiIiInFBAVZERERERETiggKsiIiIiIiIxAUFWBEREREREYkLCrAiIiIiIiISFxRgRUREREREJC4owIqIiIiIiEhcUIAVERERERGRuKAAKyIiIiIiInFBAVZERERERETigq+5G9CSrFixgqeffpolS5bw7bffEolEeP/998nJyanx/jfeeIOHH36YNWvWkJGRwUknncQVV1xBMBhs4paL7L2XX36Zm266qcayhQsXqh9Li1dSUsKUKVOYPn06RUVF9OrVi8suu4wxY8Y0d9NEGmzu3LlMmjSpxrK3336bnj17NnGLRPbe5s2beeSRR1iyZAnffPMNpaWlPPnkk4wcObLavbNmzeLee+/lm2++ISkpibFjx3LdddeRmpraDC2XeKAAu5vFixfzwQcfkJubS1JSEp999lmt97722mtcf/31nHHGGdx8882sWrWKu+66iw0bNjBlypQmbLXIvvnHP/5Bt27dqlwLBALN0xiRvXD55ZezdOlSrrvuOnJycnjllVe4/PLLeeCBBzjiiCOau3ki++S6665j+PDhVa7V9oG6SEuzdu1a3nrrLXJzcxk1ahQzZ86s8b65c+dy8cUXM2bMGK666iq2bt3KXXfdxfLly3n22WcxTU0WleoUYHdz8sknc8oppwDw+OOP1xpgHcfhzjvv5Oijj+ZPf/oTAKNGjcLv9/P73/+ec889l8GDBzdVs0X2Sd++fenfv39zN0Nkr3z00UfMnj2bqVOnMnbsWKDi9/C6dev4+9//rgArca979+4MGTKkuZsh0iDDhw9nzpw5ALz33nu1Btg777yT3r17c88991SG1ezsbM4//3ymT5/O8ccf32RtlvihjzV2s6ef8nz99dds27atMuzuMn78ePx+PzNmzIhF80RE5AfvvvsuKSkpVaYLG4bBKaecwurVq1m5cmUztk5EZP+2J39Tb9myhUWLFnHyySdXuX/06NG0a9dOf09LrRRgG2DFihUA9O7du8r1UChE586dK8tF4sGFF15I//79GTlyJFdffTVr165t7iaJ1GvFihX06tWr2h9Jffv2BWD58uXN0SyRRvOHP/yB3NxcDjzwQC655BIWL17c3E0SaVS7fk//9O9pgD59+ujvaamVphA3QEFBAQBpaWnVytLS0irLRVqyNm3acOmllzJkyBCSkpJYunQpDz74IKeddhr//e9/6dy5c3M3UaRWBQUF1dZuw4+/l/V7WOJVSkoK55xzDiNGjCA9PZ1Vq1bx0EMPccYZZ/D0009riZK0GvX9Pb106dImbpHEi1YbYOvaxe+n5syZQ2Zm5l7XYRjGXl0XiZWG9PfDDz+cww8/vPL6iBEjOOSQQ5g4cSIPPPAAf/3rX2PVXJFGUdfvWv0elniVm5tLbm5u5b8POuggjj76aE488USmTJnC448/3nyNE4kB/T0te6vVBtgePXpw++2379G9ycnJe/Xs9PR0oOKTo4yMjCplhYWF2iVQmlxj9fc+ffowcOBAvv7660ZqmUhspKen1zjKWlhYCNT8ib5IvMrOzubQQw+tdSMckXi0+9/TP1VYWKjf41KrVhtgs7OzmThxYkye3atXL6BiDVb37t0rr5eVlbFu3TqOOuqomNQrUpvG7O+u62rbemnxevXqxTvvvFOtv+5aU9WnT5/mappITLiu29xNEGlUu9a+rlixgkMPPbRK2fLlyxk6dGhzNEvigP5KbYAhQ4aQnZ3Na6+9VuX6m2++STQa5dhjj22mlonsm+XLl7N06VKtsZIWb+zYsRQVFVUbkXr11Vfp3r175QeNIq3Btm3bmD17to7VkValffv2DBw4kDfeeKPKBzRz5sxhy5Yt+ntaatVqR2AboqysjI8++giAb7/9FoCPP/6YzMxMMjMzGTFiBAA+n49rr72WG2+8kVtvvZVx48axatUq7rrrLsaNG6f/wEhcOO+88xg1ahS9evUiMTGRZcuW8fDDD5OSksKll17a3M0TqdMRRxzByJEjueWWWygoKCAnJ4dXX32VefPmcf/99zd380Qa7Nprr6Vz584MGDCA1NRUVq9ezcMPP0x5eTnXXHNNczdPZI9Nnz4dgEWLFgHwxRdfkJ+fTygUqjyr+7rrruOCCy7gmmuu4fTTT2fLli3cddddDB48mOOOO67Z2i4tm+F5ntfcjWgp1q9fX+VMwd2NGDGCp556qsq11157jUceeYQ1a9aQkZHB+PHjufLKK0lISGiK5orsk7/97W/MmjWLTZs2EQ6Hyc7OZvTo0Vx22WV07NixuZsnUq/i4mLuvvtuZsyYQVFREb169eKyyy7jmGOOae6miTTYQw89xFtvvcWGDRsoKysjPT2dESNG8Otf/1pT4yWu7DrW7Kc6depUZfbMxx9/zH333cc333xDUlISxxxzDL/97W+1BlZqpQArIiIiIiIicUFrYEVERERERCQuKMCKiIiIiIhIXFCAFRERERERkbigACsiIiIiIiJxQQFWRERERERE4oICrIiIiIiIiMQFBVgRERERERGJCwqwIiIiIiIiEhf+H5jRmJrjnQLqAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "labels = np.array([-1] * n_points)\n",
+ "for i_d in range(len(data)):\n",
+ " dist = 1000\n",
+ " for i in range(3):\n",
+ " new_dist = np.linalg.norm(data[i_d] - centroids[i])\n",
+ " if new_dist < dist:\n",
+ " dist = new_dist\n",
+ " labels[i_d] = i\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6180bd63",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "#### Centroids update"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "ceb75ec6",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for i in range(3):\n",
+ " centroids[i] = np.mean(data[labels == i], axis=0)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3203bdaa",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "#### More steps"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "03e38e93",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Allocation update\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "labels = np.array([-1] * n_points)\n",
+ "for i_d in range(len(data)):\n",
+ " dist = 1000\n",
+ " for i in range(3):\n",
+ " new_dist = np.linalg.norm(data[i_d] - centroids[i])\n",
+ " if new_dist < dist:\n",
+ " dist = new_dist\n",
+ " labels[i_d] = i\n",
+ "\n",
+ "print(\"Allocation update\")\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "39a9d09e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "centroids update\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for i in range(3):\n",
+ " centroids[i] = np.mean(data[labels == i], axis=0)\n",
+ "\n",
+ "\n",
+ "print(\"centroids update\")\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "d47ec2b3",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Allocation update\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "labels = np.array([-1] * n_points)\n",
+ "for i_d in range(len(data)):\n",
+ " dist = 1000\n",
+ " for i in range(3):\n",
+ " new_dist = np.linalg.norm(data[i_d] - centroids[i])\n",
+ " if new_dist < dist:\n",
+ " dist = new_dist\n",
+ " labels[i_d] = i\n",
+ "\n",
+ "print(\"Allocation update\")\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "32dc752f",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Centroids update\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for i in range(3):\n",
+ " centroids[i] = np.mean(data[labels == i], axis=0)\n",
+ "\n",
+ "print(\"Centroids update\")\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "707f9581",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## K-means using scikit-learn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "8c28a2e2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import KMeans\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "77415efb",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "-"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "K = 3\n",
+ "kmeans = KMeans(n_clusters=K)\n",
+ "kmeans.fit(data)\n",
+ "\n",
+ "clusters = kmeans.predict(data)\n",
+ "centroids = kmeans.cluster_centers_\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d40bd57b",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Selecting the optimal number of clusters K\n",
+ "\n",
+ "- The Elbow method\n",
+ "- The Silhouette method"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "60fd5659",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### The Elbow method\n",
+ "\n",
+ "Plot the inertia $I$ as a function of the number of clusters.\n",
+ "$$I=\\sum_{i=0}^n \\min_{k \\in \\{1, ..., K\\}} (||x_i - c_k||^2)$$\n",
+ "Inertia is always decreasing when more clusters are added (clusters get tighter).\\ \n",
+ "However, when good groups are formed, inertia start decreasing _less_.\\\n",
+ "Hence, __choose the number of clusters corresponding to the last big drop in I (the _elbow_ of the curve)__.\n",
+ "\n",
+ "__Exercise: Try to compute the inertia curve for the toy example. Make K vary from 1 to 10.__\\\n",
+ "*Hint: The K-means in sklearn has a kmeans.inertia_ parameter.*"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "826af521",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "inertia = []\n",
+ "for k in range(1, 11):\n",
+ " kmeans = KMeans(n_clusters=k)\n",
+ " kmeans.fit(data)\n",
+ " inertia.append(kmeans.inertia_)\n",
+ "inertia = np.array(inertia)\n",
+ "\n",
+ "plt.bar(range(1, 11), inertia)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2e6ef3cd",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## The silhouette method\n",
+ "\n",
+ "The silhouette was seen in the previous slides. It takes into account both the points within a cluster but also from other clusters, Hence, it should not be always decreasing when K increases.\n",
+ "\n",
+ "By plotting the silhouette curve for different values of K, we can simply choose the number of clusters with the highest silhouette.\n",
+ "\n",
+ "_Exercise: Try to compute the silhouette curve for the toy example. Make K vary from 2 to 10._"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "65ca9744",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import silhouette_score\n",
+ "\n",
+ "silhouette = []\n",
+ "for k in range(2, 11):\n",
+ " kmeans = KMeans(n_clusters=k)\n",
+ " clusters = kmeans.fit_predict(data)\n",
+ " silhouette.append(silhouette_score(data, clusters))\n",
+ "silhouette = np.array(silhouette)\n",
+ "\n",
+ "plt.plot(range(2, 11), silhouette)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "7e350864",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Data preprocessing\n",
+ "\n",
+ "**Example:** We want to identify groups of people that are collected from a population.\\\n",
+ "The data measured are the **weight (in kg)** and the **age (in days)** of the individuals.\\\n",
+ "The objective is to identify the groups corresponding to men and women.\\\n",
+ "The average weight of women is 60 kg and for men it is 80 kg. The variance is about 5 kg for both groups.\\\n",
+ "The average age of both groups is 50 years and the variance is 10 years."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "06543a11",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Mc+fORWxsLL766ivbZ19//TXCw8OxZMkS22cMw+CWW25BbW2tpIebIAiCIAiCIEYqpPh5h8lksVbDVonrQWoVi9z02FFdcX204LOiXyqVCrfddhv++c9/Ys6cOZg9ezba29vx4osvIjo6GjfffLPD8fX19Xjttdfw0ksv2ZRqZ6qrqwEAkyZNcvnb5MmTcfz4cdu/jx8/jrS0NBflfsqUKbZrpaWlefxcDHO52Tchj1ptDeWh9zU6oPkeXdB8jy5ovkcXNN8jn9l6Hd79vEI0LFutYjFLH4eQEFfn1mjHbOGwdvksrHvnkMO7U6tYrL1rFiJDAyQVan+CfuPyMG6i6n1aJXvVqlUICwvDww8/bMsvnjBhArZv347Y2FjbcTzP4+mnn8a8efNw1VVXSV6vo6MDABAZGenyt8jISFRUVDgcm5ycLHqc/bUIgiAIgiAIYjQRFqyWVfzCgzVDODr/Ra1iMTVpDLasXoJD5Zf7MM/K0CEsWD0slGWi//hUYd6yZQu2bt2KRx99FNOnT0d7ezv+/ve/4+6778b777+PxMREAMC//vUvlJWVYdeuXYquy0io/c6fSx3n7m9y8DzQ2XnBq3MHA6H5PMfxQx4SIlit/Pl9Eb6D5nt0QfM9uqD5Hl3QfI8OJsSEYtMTi1FU0YSTBqvilzstDmoG6O7qHerh+TUMgPmZOizMjrftubu7hk8oNv3G5dFqw2S9zD5TmGtqavDqq6/iySefxB133GH7fM6cObjyyivx5ptv4tlnn8W5c+fw4osv4t5770VwcLCt0JfZbAbHcTAajQgMDERgYCDGjBkDQNw73NnZ6eB5HjNmjORxgLiXejjj0Hz+krUrL52azxMEQRAEQRCu8BwHFYAFWTpcNycZPM+jo+MCeEpdVsRQO6aIocNnCnNVVRV4noder3f4PDw8HElJSaipqQFgLeR1/vx5vPzyy3j55ZddrpObm4t77rkHjz32mC13+fjx45g3b57DcdXV1cjJybH9Oy0tDf/+97/BcZxDHrOQBz158mTfPKgfINV8/t3Pqfk8MfLxp6gKgiAIghhumEwWKvBFEB7gs8D7cePGAQBKS0sdPu/o6MDJkydtOcxCTrPz/6ZOnWr7269//WsAQFxcHPR6PXbu3OnQc7mwsBDNzc24+uqrbZ8tXboURqPRpeXVjh07kJKS4lXBL3+Fms8ToxGGZWFhGOwrMeDdXVXYV2KAhWHAKKjiTxAEQRAEQRDeoNjDvHv3bgCXFeLi4mK0t7cjODgYCxcuxBVXXIGMjAxs2LABPT09yMnJQXt7O7Zu3YoLFy7g9ttvBwCEhoZi1qxZLtePiLCWu3f+22OPPYa77roLf/zjH/HrX/8azc3NeOmll5CdnY1rrrnGdtzChQsxa9YsPPXUU+jo6EBiYiJ27NiBH3/8ERs3bvTwtfgvGo0KhSUGt83nF2TpyPtGjBgoqoIgCIIgCIIYChieV5a5ILRnciYhIcHm1TUajXjrrbewZ88eGAwGhIeHY9q0aXjggQccwqfFuP3222E0GvHpp5+6/G3fvn14/fXXUVVVhdDQUFx11VV4/PHHXfKSu7q68Morr+Crr76C0WhEWloaHnzwQdlK3O7gOB5tbV1en+9rAgPVeHdXFfYUn5Y8ZmneBNx57VT09poHcWRUUGC0MZjzbWEY3P/Ct5LtMDY9sRgqnhTmgYR+36MLmu/RBc336IPmfHRB8y2PVhsGlpUpHq1UYR6t+JvCrNGosK/EgLc/LZM85p6b9EPiYaYf4+hisObbn7/zown6fY8uaL5HFzTfow+a89EFzbc87hRmSv4bZphMFms1bIm+b2oVi9z0WFIciBEDyzKoazTKHnPSYJRd6AiCIAiCIAjCG0hhHoaoGQZP/z7PRWlWq1g8vTwPGi97ThOEP8JxPFLiI2SPSdZFUMVPgiAIgiAIwuf4rK0UMXjwHIekcWEOzeeTdRHIS7c2n6fiR8RIQoiqePfzCskcZoqqIAiCIEYT1GKRIAYPUpiHKfbN5xdNj7ctmJSRToxEhKgK5yrZ9lEVVI6BIAiCGOkwLAszz6OwxIC6RiNS4iOsqXoMQw4TghggSGEe5pBVkRgNUFQFQRAEMdqhFosEMTRQDjNBEMMCnuOg4jksyNLhzmunYkGWDiqeo80BQRAEMSow87yLsgwAZgtn/ZwCrQhiQCCFmSCIYYXJZEFvr5miKwiCIIhRg0ajQlFFs2gtD8CqNBdVNEGjUQ3yyIY3Go0KgYFqem+ELKQwEwRBEARBEIQfQy0WfQvDsrAwDPaVGPDurirsKzHAwjBgWFKNCFcoh5kgRgkjraKmPz2PP42FIAhitDNQa/JQrvXUYtF3UC444SlkRiGIEc5Is6L60/P401gIgiBGOwO1JvvDWi+0WFSrxO9JLRaVQ7nghKcwPPVikYXjeLS1dQ31MIYFkZHBAIDOzgtDPBJCQMqKqlax/baiDsV8D+TzDOexDAb0+x5d0HyPLkbCfA/UmuxPa73sWJbnISlG+VhGwpx7g0ajwr4SA97+tEzymHtu0mNBlm5EGR9G63wrRasNk01nIDcIQYxgRpoV1Z+ex5/GQhAE4Y8MZkGlgVqT/Wmtt2+xeM9NeizNm4B7btJj0xOLPVKWRzOUC054AynMBOHneLvhGGkVNf3pefxpLARBEP7GYIcwD9Sa7I9rPbVY7B+UC054AynMBOGn9HfDodSKGhAwPNop+JNV2J/GQhAE4U8IYcP3v/At3v60DHuKT+PtT8tw/wvf4lRL14AozQO1JvvzWk8tFr2DcsEJbyCFmSD8EF9sOJRYUcfHhmFX4alhUazKn6zC/jQWgiAIf2IoQpgHak2mtX5komYYPP37PBelWcgF1zBk7CYc8d/dMUGMYnyx4VBiRZ00Pgrbv6wYcOu/L/Anq7A/jYUgCMJfGKoQ5oFak2mtH5lQLjjhKf65MyaIUYwvNxxyVtSVy3Lw2f5aCHXyh0OxKo2KxZo7c0WfZ82duQiQ2NQMBGShJgiCcGQoQ5gHak2mtb5/DGbhN0+gXHDCE9RDPQCCIBxRuuFYND3e7bXsrahFFU04aTBifGwYJo2Pwmf7a1FYanA4XlDG/bWdgsnC4Zvieqy7Nx9ltW1oautBnDYE+lQtPv+hDuOvT8dgiWSxd5usi0BeehzUDEjoEgQx6hjKEOaBWpNprfcOhmVh5nkUlhhQ12hESnyE1VvPMH71zvxxr0P4H6QwE4Sf4esNB89xUAFYkKXDVTPHY1fhKazZVACpDuxKlfHBRqNRobDEgIKSRhwobURGihZREUE4Wt2Kf3xVBZ4H0lPGDqqyb/9uF02Pt80JyzLgOIYEMUEQowohhPndzytEo6QGOoRZbE02mSyS8m6orztSkeoX/e7nFYPeu5ogfAGFZBOEnzGQuVh9fWYEaFhZIe+vBUzsPe88D5TVtmH/zw0oq22zPY83oX6+CBczmSzoM3G4aOZcqpqrA9R+GY5GEAQxEPhDCPNAVZCmytTK8Kfe1QThC8jDTBB+iLDhcBY49hsO3gvT9lBb//uDrz3vvgwXk7Omr/7dTDSf6wEA0etrNKpLHmneL987QRAjH4YBGIaBRqPq9zpEIcyjGyEazF0dFn9N/SIIMRjem133KILjeLS1dQ31MIYFkZHBAIDOzgtDPJKRgVWhg883HFLKnaCMK60QORTzbWEY3P/Ct5LK/sYnroRawZIm+w68CBdzN6519+ZjzaYCqNjL1wesVviiima/zu8SoN/36ILme3QgGA6LK5tR22hEis6369BINAiOlGcaqN94YKAa7+6qwp7i05LHLM2bgDuvnYreXrNP701IQ2u6PFptmGyEIinMbiCFWTn0YxwYBkI4+0IZH4r59pWy707B3fTEYqh4Ze9Bo1FhX4kBb39aJnnMb6+ZiqPVrSirbbNef9ViNPhQYR8M6Pc9uqD5Hvn42nA40hGMC8PFyOmOgfqNK5GJ99ykJw/zIENrujzuFGYKySYIP2cgBIqnBUz8xaLui1A/X4eLKalq3tTWg6iIIIfrF5W7tg4T8rs2PbF40Kp9EwQxOnGXZ0rr0GWGQxErf5HTwzn1iyCkoKJfBOFnDGbPQncFTBiWhYVhXApZMezQLR397Z3oqz6hwjwxDOM2tzpOG4J240Xbv+sajYgIDRA91pM+2wRBEN6g0ahQVOFqtBMYTuvQYMhMfy5i5Y9yur+F3/y1dzMxeiEPM0H4Cf7Ws9CdRX1aiEaykvdg4K11ur/Fw8TmKTc9Ttaark/V4h9fVdk+S4wJxeHKFsn7+2trL4IgRgZKDYf+vA4Nlsz05yJW/ur59jYazN/2QQQhQAozQfgB/ij03FnUt6xegjFh4l5Sf6Y/4WJS81RRdw5r7szFM9uKXXIBVy7LwWf7a23h7moVixnT4vDerkrJMfpray+CIEYGvu46MNgMpsz0F+OCWMi1P4fVe5r65Y/7IIIQoJBsgvAD/C3cS0m43qFyAwahneaA4G24mNQ8FZQ04pviemx6YjHuuUmPpXkTcNeNGVh/3xwUHG1EYanB4fohgSqoJMLlKL+LIIiBRjAcSkUJ+fs6NJgyc6iNC1Ih1+oA9bAIq1fau9rf9kEEYQ95mAliiPHHcC8lFvW6RiOYAdSYB7KAiTfhYu7mqaCkEekpY3FlTgL46fHgeOCiiYM+VYuwYI3D9cFjQPpsEwRBKEUwHA63dWiwZeZQFrGS87quXZ7n9nx/D6sXUDKnxZVNWHxFIkwmi98acoiRCynMBDHAuFP8/CXcyx4lFvWU+IgB2UwNVg6Tp+FiSueJnx5v6y0pd/3+VvsmCILoD/aGw+LKJtQ1Do91aChk5lAZF+S8ruveKcKGRxeCYSApt3zl+R7oCtxK5rS20Qi1qhEmM0d5zcSgQwozQQwQShW/gQz38lbIKbGo52XESQppb/Emh6m/glzpOQzDYF52PJraulFe1yb67GLzJHV9TxV2giAIXyOsQ9fMTgLDMOjq6vX7dWgoQqR90dLQU5R4XY+eaEVWWgyOHm91+bsvPN+DZcBWMqexY0Ow70gDymrbKK+ZGHQoh5kgBgBB8bv/hW/x9qdl2FN8Gm9/Wob7X/gWp1q6HNo9DEQumS/aTLjL8w0P1ii+llI8yWEarFYawn2+PdKAH442IntyDJ65fy7yM3UOx3m7OVGa30UQBDFQ8DyGvH+vUoYq/7q/LQ09RZEnvdGI5f+R7nX7Jjk82cf0FyVzqk/VoryuDQDlNRODD8P7Y4KKH8FxPNrauoZ6GMOCyMhgAEBn54UhHsnQY2EY3P/Ct5Le2U1PLIaKv/w3Kc+qIPSSYpRbUWWv5aFF1mpdhqhFPSI8EIDv5lujUWFfiQFvf1omecw9N+mxIEsHs4X32TPKIfcuVy7LsRX08maehhv0+x5d0HyPLobbfPtSZvorimVidjwumjiPPd/u5tzTfUx/USpv7RH2BMPB0DPUDLff+GCj1YaBZaUNTKQwu4EUZuXQj9GKJ4qf/SIvp5x6IvgHQsiJhT33d76drxkYqMa7u6qwp/i05DlL8ybgzmunoqfPgjf+pwSRYQE413nRIUTal4Lc3bt86Q/zUV7b5vc5f76Aft+jC5rv0cVwnG9fyUx3DHT+rhzuZNDGJ66E+pLw83SccnPu7T6mvzjPaUJMKKYkjcVn+2tdlGXg8p5AqBtCSDMcf+ODiTuFmUKyCcLHKC1I4vzD9EW4l5J2UN60mfBl2LBUKDXHQ1FeGs8AvSYO+olaaNSsS4i0r1ppKHmXFXVtuDInYUDD8giCIAhXBjpEerDSfuTwpAWiL+W0t/uY/mI/p3fdkI44bSjWbCoQVZYBYHxsGEwcP6hzQoxOFBX9ampqwtatW1FeXo6qqir09PRg+/btmDVrlsNxfX19eO+997Bjxw40NDQgLCwMer0eDz74IDIzM23H/fTTT3jzzTdRXV2Njo4OhIaGYvLkybjrrruwcOFCh2vefvvtKCoqchnTddddh1dffdXhs+7ubrz66qvYvXs3jEYj0tLS8OCDD2LJkiWKXwhB9Jf+FiTpj7Dzx4rb9rgr6pWXHidbaGy2Pg41DUase0c8ZAsACksNPnlGpa21Fmb7f8sOgiCIkcpgt3MazGJTQ1FsDBj63tNC66iJCZFQsazknmDS+Cjc8+w3eOpOKgBGDCyKTDKnTp3CF198gZCQEMyePVvyuL/85S945ZVXcNVVV2HTpk1Ys2YNDAYDbr31Vpw4ccJ2nNFoREpKClavXo2tW7di3bp1CAgIwIoVK/DFF1+4XDc5ORkff/yxw/9WrlzpctxDDz2EnTt34pFHHsGWLVuQlpaGhx56CN9//72SxyQInzBUBUkAayXn1IShE3LucFfUi2XlrekcBxdlWTh/w0dHcOP8VDCMb55xqDcMBEEQxNDgSQHKgWawi40BQ7OP0WhUCAxUO0SHyXnYVy7LwWf7a2EyUwEwYuBR5GHOzc1FYWEhAGDPnj3Yu3evyzEmkwk7d+7EDTfcgEcffdT2uV6vx9KlS/Hll1/i4YcfBgAsWrQIixYtcjj/yiuvxJIlS/Dxxx/j+uuvd/hbUFAQpk+fLjvG77//HgcOHMAbb7yBpUuXAgBmz56N+vp6PPfccy6ea4IYSAa7Z6PQ+uHbIw1IT9VCrZK2yA6Usi4glUelCVCjsKRRNsT5YJkB87PjRa3pQRoW+47Kn19W24astBifPKOS1loD/S4JgiCIwUVJO6eiiqZBLzY12LJmsPYx7lpXJY0Lw+ZVi3GgtBGnmroQpw2BPlXrkNc8VHNCjB4UKcysgtwAlmXBMAzCw8MdPg8LCwMABAQEyA9ErUZ4eDg0Gu9a1Xz99dcIDw93CL9mGAa33HIL1q5dixMnTiAtLc2raxOEpwxmGJVz6Fh+pg4rl+Vgw0dHBkVZtx+HlNADgHNdfaht6JS9hhBKLVjT7fsTswzrNkS6qa0Hy/8j3WfPONiGD4IgCGJo8ffUpsFiMPYxSkPfgwPVsFiAPpMFR6tb8Y+vqlx6hY+GOSGGDkUKsxJUKhVuu+02/POf/8ScOXMwe/ZstLe348UXX0R0dDRuvvlml3M4jgPHcWhra8PHH3+MkydP4oknnnA5rq6uDrm5ueju7kZiYiJuvvlm3HPPPQ7K9fHjx5GWluai3E+ZMgUAUF1dTQozMajwHAcV4KL4+Vq/cg4dEyyu6+7NR1ltG1rO9QyIss4wVqOURqOSbPMkCL3xsWF4Z2c59BO1DudnpGgxNjLIVunaPsTZ2UqsJEQ6NSECY8MCYerzTcXMocofIwiCIIaG4ZSOM9AVvAd6H+Mu9H3TE4uhgnVOAjQs9v/cIHktb+ZkKCugE8MLnynMALBq1SqEhYXh4YcfBndpIzlhwgRs374dsbGxLsevXLkSX331FQCrJ3rDhg1YsGCBwzEzZszAddddh9TUVPT09GDPnj147bXXUF5ejjfffNN2XEdHB5KTk13uERkZafu7NzDM5VLshDxqtTXvhN7X4MEwwO6Dp1yETWGpAQfLDMhI0eKXSyYhO00LX+l2ZguHrgtm7D50GrUNnUiNj0Buepys0Nvw6EKU1rTiN0sn20KZb5yfirLaNjS1dSN7cgxuu3YaxkUFIyREOhpltl4nGyI9KyMOIcEaINi7SBU5rs1PAnPJozwancr0+x5d0HyPLmi+HXEra/RxsrJqoBHk8P5SA2objUiNj8CsDB3CgtWSecfODPWcS+1fBMwWDsWVTbhmdhJ43rdz4ov3N9wY6vn2dxg3Bd99qjBv2bIFW7duxaOPPorp06ejvb0df//733H33Xfj/fffR2JiosPxjz/+OO6++26cPXsWn3/+OVauXInnnnsON9xwg+0Y5+JeV155JaKjo7F582YcPnwYM2fOtP2NkXlaub8RxHCFYRjUSoSO8TxQVtsGXXQostOiAfRfyzNbOFSd6sC6dw7ZhJY+VYvui2ZZoXe4sgnpydaco/9aMQsd5/uwdkuhS5jz2uV5CE2KkhRYYcFqrF0+y+H+tnPvmoXwfijKgsdcSiHmeXgUfu3uegRBEIR/MpCypr+IyWEAeGdnBdYun4WpSWOGhdInt38RqGs02uSor+ZkpLw/YnDxmcJcU1ODV199FU8++STuuOMO2+dz5szBlVdeiTfffBPPPvuswznjx4/H+PHjAQCLFy/Gfffdh7/+9a+47rrrZPOmb775ZmzevBk///yzTWEeM2aMqBe5s9OaMyl4mj2F56nJt1KoKfrgo9GokKJzHzrW1dXrk3AjC8O4CJmxkUFoauuWPe9MazeiIoLww9EG/GrJJPzXW4dEvdHr3rkUgsVLu8MnxIRKhkh3d/V6/ExC7nVRRbNowZGhvp6/QL/v0QXN9+iC5tsVX8saXyEmhwFBhh5yK0MFhnrOvdm/+GJOfPX+hhtDPd/+jlYbJutl9pnCXFVVBZ7nodfrHT4PDw9HUlISampq3F4jMzMT3377Lc6dO4fo6GjJ44Rwb3ulOi0tDf/+97/BcZzD59XV1QCAyZMne/Q8BDEc8LSSs2QFawV5PFKVQ891XkT25BjZcabER6CovBkZqVr8XN3ar+qjvsyp8nWvTX/p3UkQBEH0j8GqQ+IJ/lrB2xu86UTR3zkZSe+PGFx8FnMwbtw4AEBpaanD5x0dHTh58qRoDrM9PM+jqKgIERERGDNmjOyxn376KQAgOzvb9tnSpUthNBpdWl7t2LEDKSkpVPCLGLHI9SkUKjkzLAsLw2BfiQHv7qrCvhIDLAwDVq0S/ZwRifCQqhxaXtcG/aVWVqLjU7HImxaH26+Zigf+n2w0tHbJPs9JgxEs6z6FwmSyoLfX3C+h5utem/7Uu5MgCILoP76QNb6CVbnvFqFUhvoDSvYvYng7J0oroA+X90cMHoo9zLt37wZwWSEuLi5Ge3s7goODsXDhQlxxxRXIyMjAhg0b0NPTg5ycHLS3t2Pr1q24cOECbr/9dtu1/vSnPyEhIQEZGRmIiopCa2srPvnkExw8eBBr166FWm0d1uHDh/HWW2/h6quvRkJCAnp6evDNN9/gf//3f3HNNddgxowZtmsuXLgQs2bNwlNPPYWOjg4kJiZix44d+PHHH7Fx40afvCyC8EfcVXIGIOr1rKg7hyW54/HMtmJF3lCpyqE8D3y2v1a+lZWKQddFE97fXeVQKVuMwao+6mtLM1muCYIgRib+UE2ZYVkYzvUgVhsie5y/VPBWwmB3ohhOFdAJ/0KxwvzII484/Pv1118HACQkJGDv3r1QqVTYtm0b3nrrLXz22WfYsmULwsPDMW3aNHz44YfIycmxnZuTk4OdO3fi448/xvnz5xEeHg69Xo9NmzZh8eLFtuNiYqxhnq+99hra29vBsixSUlKwevVqBwUcsBYP2LhxI1555RW8+uqrMBqNSEtLwxtvvOFwTYLwV/ojkKXClNRqFcCy+OT7GljsBA/DADfMS3EpvAW4tnMQkAufKiw1gGUYbHxiMYpFhJ7JwmH9O0WwcJytUrbSEKyBwte9Nql3J0EQxMhCqElRWGIY8poUZp7HkxsL8NcV+X4hQ33FYIa+exMGThAAwPCelH0dhXAcj7Y2+RBSwgoVFPCOgSgSJVyzuLIZNQ2diNOGQp9qrVJdWGqAPlWL7Mkx+HB3leQ17rlJ7+INlcrRFTzJSTFhUKsYB8Vfo1FhX4kBb39aBgDIz9Rhbna8pDc6KWZw8nydxyWG2DsYrOv5G/T7Hl3QfI8uaL5dkZV3g1yTQqNRofxUOw6UGqDThmJ8XLioDF27PA8TFMrQ0TrnSvYxQ1lrZKCiGUbrfCtFqw2TDcX3aVspgiA8YyCKRMkJg5XLrJEeGjXrtrK1mDfUPnyquLIJdY2u4VMmp+E6e14LSw0AgHX35l/qw9yD8eNCMS87ASr4PgRLCl9bmslyTRAEMXJwV5PCOQproGBYFr0WHk1t3dCoWajVLOKjQ/HyH+ajqLIZTW09iNOGIHdaLKIjAtHXa+73Pf0hBH2gGOwwcKX4UzQD4QopzAQxhAyEQJa75oaPjmDdvfn4x1dVmKWPk71Ocrx4Ho8QPnXN7CQwDGNr+SAVqyKWM1RYasDBMgMyUrSIighCnDYUgSpm0AWzUHBEytKsudT/caiuRxAEQQw+/lKTQsoA/vHX1Vi5LAd9Jgv6TBYcrW5FSKAaC7J0/b7fcFHaBiKNbajEM3XY8H9IYSaIIUKJQC6ubMLiKxJhMll8VniqrLYNKboIZKXFyOZBZaXJt4rieWt1e3fjkvK88jxQVtsGtYrF7ddOHRIrtpjHPCU+ArnTvLM0+6vlmiAIYiQx0B5Qf6lJocQAvmZTAVQsiz/8enq/3sVwUdp8qdT7i/fcX6IZCGl81laKIAjPUCKQaxuN2He0Ubbdk6fXbGrrQVx0KEpOtGLlshzRdg4rl+Wg9Hirz1oreNs6YvDgMTYiCJPGj8HYiCAA3puZeY6DiuewIEuHO6+digVZOqh4zi82GgRBEMMZqRaJ7mSjp/hDNWWNRoWiimZZA3jlyXPISouRlaMajQqBgWpoNPIqlzulzR9US0Gpv/+Fb/H2p2XYU3wab39ahvtf+BanWrp8/j0YDJTMc1FFk9v5IwYW8jATxBChRCDHjg3BviMNKKttU2TllbsmwwAZKVrkZ8YhJjIYZXVtKDja6JBLHKcNsRUH06dqfbYZ8FfP60AWdfEXyzVBEMRIoL8eUE+80v5Qk0KJAbzxbDf+dOsV4CwcOLPjWDzxxCqJTjtQ2ogF0xPAW/ghk9kj0RPrL9EMhDzDzxRDECMEQSA7e10F1CoW+lQtyuvaAFwWCGYZHVbqmvmZOjxz/1xkT47BwdImlNe1IXdaHFiGwZpNBTha3WrLg1qzqQDFFc0+3wz4o+fVnfCVe9cEQRDE4OHteu2tV3qoI6OUGtVf/sdPONl03uF5PPXEKlHaTjV1YdsXlYo8uUq92p4wUj2x/hDNQLiHFGaCEGEgFnsx5ATyymU5+Gx/rUMRCiUCwfmaQhuntVsK8eHuKuwpPo23dpThgRf2YknueMzJjEdZbRv2/2z1ZKvYy5uBgXgPJpMFvb3mIffAajQq1DR0Yk6WDvpULZz3PsNV+BIEQYw0vFGWNBoVAgLVONXahTf+pwTHTrejqa0bWz9TFsJrHxl1z016LM2bgHtu0mPzqsVIi4+AWjWwCrNSo3rJiVYXg4GnxgUlSlucNgRnOy4MiHFCDvt9iBJPrK9SyQYLJfNMHTaGHlKYCcKOwcqPEhATyHdePw3r7s1HwdFGWwsme9wJBOdr/vqqyS79GgGr4HxmWzHuvD7dYTOw6YnFSI4Nh5nnUX6qHQVlzSg/1T6g72GwcW7TkT05Bs/cPxf5mY4VRoej8CUIghhpKA1bZVnGQY53XjAjKEAN/UStw1qfmx6rKIrIITLqummYm6XDofImbJPYH/jayKzUqG5vMFBqXLA3EnsS8SZlTPZ1frHzfuznE2eRkjD8PbFi3xFfRzMMltNnNEE5zARxiaGqEGnf3mDJjET8fOIs1mwqkGxvoEQgCNe8MicB3/3c4FZwXpmTAP5SawWzhcfZzoswczzqW7rQ1NaNOG0oxoQHQc0y0IYHDusCVkr6VAuGiuEgfAmCIEY6isNWedjW91sWTURjaxee335Ycq1X2hrKbOFxytApuT9IjguHycL5vB2TYADfvGoxfjjagPqWbodaI/ZGdfs8VyXGBcapzaFcW0TniDexnFpf5heLyelvDp/Gsw/Mk+3u4c+eWHc55b6o8yJ3j4FmJPfuBkhhJggbQ11MQmgdNTEhEirWNwKBZRnUNrgXnPz0ePT2mgEAvIpFU3uPi1daEJpREUFgYC0ixlwK2x6sxdEXC7KSNh0HywxQsf4tfAmCIEYLSotwXTRZrBWdOQ5zMuPx+Ov7Zdf6vYfrFRVTkpMbXxedxtK8CQNmbOc5DoEaFeK0oahpMOJodSv+8VWVi1Hd3sCrxLjAO13AXjk/UNqIU01doso5wwAzpo6DSsXa5L+v+1aLvW+eBz7dV4OVy3JE9yeCJ9b5uewZKqXOnUNmYnwEWAZQc7zXvaHd3WNaiEYygqA/DKfe3f1hZMRXEkQ/8adiEr4IzRFCmX4+cRaJ40Jlj7UXshqNChd6LZIh3Bs+OoILvWawGhV2HzyFN/9vyYCHrds/T39C5TUaFUJCAlDT0AmLxCIu9Kl216aDIAiCGFzcycYgOzmekaLFkeoWWZleVtuGGVPHuY0iktsfMAxww7yUAS8eKRjTC0sNKKttc1Gi7I3pSnNixRQxnuPAchwWTE+AxcLZCoEKynJ+pg7PPjAPbcaL2LqzwiaLWRXrs/xiufddWGpAwdFGbHh0IVbc7JhKlhQjbZgY7HQ7Z6QMLrnpsQgKVGNfSaNtXBfNHPpMnMcKvTunT9cFc7+fw5mR2OZLCvIwEwT8q6x/f0Nz7K2MFo7DM/fPVRzCpNGocPinM7KbjMOVTTBbeHywu8r2+UCGrfc3VN7Z+pk4LhTP3D/XJZxNoPlcDx679QqYTZYRZR0lCIIYzriTjSrmcijy2MggNLR2yV6vqa0Hv5iVBFOvSfY4uf1BRooWZbVtkjLTwnGoaejA9LRomzLrLXIh087eVSXHysFbeCy6IhHr3y2yKdZCAdGnNx9wkcXPPTgXqQkRQLH0NZWmOLnbjxWWGhAWrMFdN6TDks259cQOVbqdgJT3Xe59ejouJR7+Q+UGXDM7yfsHEbvuCGzzJQUpzAQBgONhLSbhg8XeF9jnNXsamuO8gH22v9ajEKb6FvlNxpnWbsSOCYY+VYuxkUE4Z7wIhge+O3IGd16X7nPB058F2ZN8ZYHU+AiAG9p2VwRBEIQrcrKR4xhbKPK5zovInhwje61kXTgYBUJVLn96bGQQmtq6Rf+Wn6nDjfNTcezUOWytbOl3qKonxvT+Gt7Fzr9pwUSsfPV7F1ls4Ti8/2UV/nTrFThU3oySE62yHnB3CO/btsfovIjyOkeverIuQrEBYqiVOjEDAMMAN85PxdothT4ZlxKnT12jNW/dV/g6DN/fIYWZGPUwLIuaRiMmJozxu2ISnt5PbAETFMJ19+ajrLYNzed6kBofgdxproLTZLIgNSES3xTXS94jRRcB/UQtwDJoauvGbH0cstJiUHKiFft+PoP8zHioobxIhf3YnXOL+rsgK81XFgSxWsVi5jTKWyYIgvBnxNZo+zzn8ro2/PaaqbIyfXaGDqY+92GqcvnTUoq5fTtHX3o1PTGm98fw7nz+khmJ2CsSfSYYBcpq2/DergrMnDYOy66egk/31dj2HkrziwXMFh656XHo6TWjqa0b2ZNj8NtrptqiwjzZj/mDUidmcHEXmeDpuJQUxUuJd81b7w/+FJk5GJDCTIx6BKUqNz3Wq2ISnhaRGMiiE1ILWGGpAQfLDMhI0WJBTgIWZMejp6fPRXCaTBbkTYvDuzulC6vkTBmHR175Diazq8e24Ggjtu+q8mhDIFcwoj8LshJBWVbbZhNcngp1giAIwr+wD0V2F12lZqBYeZQKcT52uh0P/iobH39dbfvc195De+z3D0KhTnf0d59hMllEC4hKGQXUKharfzcTmalagAHy0uOggjIjuiZAjXNdfXhnZ7mDp1rYY7AMg6WzJiiW0/6g1IkZXOQiE7wZl5KieHkZcYq/70pQXLl+hHQaIYWZGNXYK1XOntimth7EaUOQr9chIkQDs5Ml2tPKgL6oJOhO2ZZbwHgeKKttQ36mvMVSzQBPL8/D+ndEcp9+n4cPd1c5KMuAo8f2ULkBn3xfg8duvQLgGNl7Kakc6e2CrERQNp/rwYKcBKvgz4qHRsWAs3AwUTQ2QRBEvxnsqsTOocTG873Y8OhCHD3RipON3rXqEbuufYizRmVVpv+2rQhTJkQha1I0Kk+e86lXc6grETvvLdwZBZ7bfhivP7YIB0ubcKi8yTpWlpUtymV9vkbUNnRCP1GL3yydbPMqC3uMTU8s9mju/EWpcza4KEsZ8Gxc7vLWw4M1Xo9fDKWV60dKxB7DkytFFo7j0dYmn9NJWImMDAYAdHZeGOKRKCcwUI13d1VhT/Fp22cMYw2XiYoIQrvxInTRobjz2qkO1ly53Fgx76qnxzsjCJOiima3wtLCMLj/hW8lF7CNT1wJtZufvfV+QHFlk9394lDb2Ilntkknej/22xnQRYfip2MtaGrrxsSESOSmxyFYw4IX2TC5G+umJxYD4L16Ho1GhX0lBrz9aZnkeFfcrMeVVySi66IZReVNI7olQn8Zjr9vwntovkcXvp5vT2TWQGGvrAPwmeIuZgRg1Sr0WXgcLGtEUIAax063y6Y2Lc2b4LKvkKK/+wcpPJ1ze3mtT9Uie3IMPrQr/unMb6+ZiqPVrZcjuCTG6q7WSMHRRptD456b9B6HT/tiT+QLhH2Vu5zw/ozL+R72BqKI8EAAvl3TZb+by/NkK5f7G1ptmGwVd1KY3UAKs3KG4wZLiVIltkArUfRUPOf18fb4VDn3cAGz3xiwLONiXLAnP1OHRVck4sUPfnS57+O3zQDDWPOfhQ2T1LsXDBZjI4MwJ1OH9OSxqG00evU8St57Q6vvNyLuGKpekP1hOP6+Ce+h+R5d+HK+B0rB81ecn1eJMumJ4tef/YMcns65/XPOydJBo2ZljQJLciegz2TB/p8bZMfq7vnW3ZuPNZsKwPOeGRrExu0PSp0g/y08vN7bKL2H/R5joNZ0OSV9OP3O3SnMI6dBFkF4gdJ+hfZCzdOezf3t8SxXuOpv24rAqFgEBqpt59uHjt1zk/I+hWKYTBb09pphMlnA8UCSLlz0OCE8y1lZFsb54gc/IjwkAA+8eLk3n1jIdH6mDs/cPxfZk2OgUbNoautGn5lDcly4V8/jrm8ny2LA+2faM9S9IAmCIAYad1WJfb2uDjXOz1te1wZ9qtajfYUU/d0/+BL7vcWcTB3GjwuTPT5OG4J240Xbv8XGquT5hFojgHfh077cE/kCYV9l7jMP2Ljs924DDc9xUPEcFmTpcOe1U7EgSwcVP/I6jVAOMzHq8aS3IeB5EYmBKlwlVKfc9/MZnG7qcgl56091TDEumiyYND5KtOqokoqPZbVtmDIhylbwRO2UWyRVQOSD3cdsXglPn0cu7yxQw2L/0cZBq5451L0gCYIgBhp/qEo8mIg9L8973s5RCl8XrXIOU/fkeJPJYttbZCRFIS1xDD7YfUzSM6xP1eIfXzl62Z3HquT5mtp6EBUR1K+cWLE9kXB/zk2tlYFkIPZqQ8VI+D3LQQozMerxtF+h0iISDMMgMFANhmF8XrhKacsKXy1gwqagrLZNdBMQHRXstuKjIPTsN0xCwQgLxymqKsp70WaLZRmoOd5FIKkYdlCrZw51L0iCIIiBxh+qEg8mwvM69wy2LyJ67NQ5NLR222qBuKsYba+k+qpolVjRsNl6HcKCxdUAd0XGTCYLVCwr6WxYuSwHn+2vdVH8nMeq5PnitCEoq2nzSRcLk8miKL9+sNOmlN5jOKZzjRRIYSYIeGblc1cZcG5WPHLT4/DtkQbbYpybHoeKunMoKGl0OV7OaiomTAayZYUUwqbApadzWw+S48MxW6+z/U2KOG0Ijla3Ari8YRK8+598X+PTnoRKKorav1v7vGlhw8PzvqueOdq8LgRBjE78pSrxYGHhgZsXTkRhmUG0Z/DBMgNW/W4m9BOjUXqiTbZitJTcmq2P61clYrnoprXLZ2FCTKiiOijOBnlRZ0N8BCYmjHHowyw3ViWVlmfrdViUk+iTnFh3z5YcFw6ThRuyauRy4x7KKukEKcwE4YBSZUUqjHtuVjyW5I7HAy/sdVmM19yZCwA4UNpoU846u/pwy6KJklZTMWGSkaJFlZuWFcWVTZjvpn2UJ9hvgux7Os/SxyFzYjT2HWlAzpRxouHagGt4lrBh4jkOE+Mj8OTvZmJX4UkwMn0xlXollAp74d1W1J3DDfNSLrUSu7zh+fyHOp+1RBhqrwtZpQmCGAxGU6sZhmUlizatXJYDACiuaEZkaCAef32/TbaJpeHIyq3leXjugblYvbHAq/Buueimde8ccjGw2x/vbEz+27YibHz88vEuzgYeqGk0orii2eFecmOVS4tbuzwPkZfaevoiTNldpNfrjy3CH17+zqF15lCnTVE6l39AVbLdQFWylTNYVVX9ZfMvVhkwNz3ORVkWUKtYbFq1GL19FhyubEJ9SxdSEyKRN02+mqDzYrkwJwEaNYs9PmpZoRTnSpZCWLgQnu38b/vntm8NIbRL0DCMQ1jUhLgwTBofZbPMO6O0qqgnFUVZtQq1BiOe2VbsMuY1d+YiVRcBztz/75i31dj7iy9bu1DV5NEFzffoYtCqZA+zVjNyuJM16++bg7OdFxzaItn/3V4WuZVbqxYDXlQiFpM9zkpwfqbOJnvsjxfqpAjG5DhtKPSpWpzv6YM+eSx4nhfdh3lTNXkwKi0rkcP2rbDsEavwPVh7UbHvhjCH0VHBuPO6dHAm93s9WtPlcVclmzzMxLDB30JSnC2rajWLytMdmJoUZQvptcds4XCwzIDDlS04etwamvxNcT3e3SlvJXQOe4oMC0SbUX7BGx8bBoaR/uF7g70VWCzn2Dlcu+VcD8aNDYE+VWtTgoUNU4CKxcmm87KWefsNhlKvhKehzyYL56IsC8c9s63YZ6HtQ+F1Ias0QRBDgad1QXzNYCgySmRNzZkOGLv7RA3A9rIIgHu5VW491jltTK1WgdWoJZ/VObrJWQnOnhyDjFQtmEuKgnC8VJ0UoU1k47ke7C48hdSECOROc9yHeVPIajCKX3lSYMwZ+/kyW/hB24uKfc+c53Dfz2eQnxkPNYZXG6fhBinMxLBgKDf/7oSv2cLDbOZQfLQRNQ2dLjlM9pw0nEdEaIDT+e7zju2FSUCAGo3nemTDnzPTYtwWxvB0U2G/Capp6MCxU65h4fbh2r9cMglpCWPw/ZEzCAvW4J6b9LYNk0loLyKiqG746AjW3ZuPg2UG8LxnVUU9CX0e7LxiT6ux9xcqMkYQxFAxFNV/B9OorkTW1BmM6O2Tlh32aThK5ZYQNSa0KHT3rPbpVFJK8MdfV9s8/8LxqQmRknVSXvzgRzz/0Dx8c/g09hQD7+ysEI0c8EZuDqSnVmmBMaHWijMnDUYsnB6PUwZXY/9A7UU1GhU0ahX0qVqU17Vhtl58DrfvqiJD+ABDCjMxLBiKzb8S4SsXeibmKZVajJUqZ8LfWtt7JFtWrFyWg9b2HkSHBYheoz+bCmETND0tGlurWsSP4YGy2jbookMxKT5C1CJ+oKRJVlE9Xt+OO65Lh0bNYlZGHII0LHiOh8mNHFBUcCY+Ahw/+HnFg+l1oSJjBEH4A4O1vgy2UV2JrBk/Lswll9ce++JnnhRK8+RZheimbV9UyBcLfedyJ4q5WTp8XVwvKz9+Otbi0E5y/TtF2LxqMQI1Kr+VKUoivcRaYQkk6yJwwSRt7PflXlTYp+396YyDIyYkUI0/vbafDOFDgHhXdYLwI5Q0ti+qaIJG47tlQhBI97/wLd7+tAx7ik/j7U/LcP8L3+JUSxcY1vrTkVPkN3x0BDfOT4UQGS0sxuV1bc63A2BVzuTyJwRMJgtSdBEoLDFg3b35+O01U7EkdwJ+e81UrLs3H4UlBiTrIkSFlpLn0mhUCAxUy75Pk8mCVIUC3mSyoLfXbBuPEkW1vrkL1+YnYW6WDofKm7BtVxX2lRhgYRjbu5caV156LNQq8WPUKhap8ZGoaTSC4z3bpPgCnuOg4jksyNLhzmunYkGWDiqeGxLvh9Lv22Ci5LtHEAThjDujutnHnm2rrImTlTWz9DocO90u+XchDUeJ3LJP2fH0WdUMg2cfmOu+E0VlEzQBagQGqBW3ibQ//4ejDSg/1e5WTg8lQqSX87sWIr0+/6FONApCrWIxN0uHonJ5Y78v9qL2+7S3dpThm+J6fLi7Cmu3FKKl4wJy02MH9P6EOP75jSYIO4Zi869EIClR5Mtq25CRooVaxWLV72aK9iUU8EQ5UzMMluZNwJ/fKsTR6lb0mSw4Wt2KP79ViKWzJkAjkb8s91xfF52GiQf2lRjwrhsF1WSyYFaGTrGAt0eJZX5CXDjOdlzE3c98I2uwEL23jEAUekOuf7cIF02cR5sUX+JsRPA1w621ixBeqOS7RxAEYc9QGNUBgGWBlctyJGUNz/F45DfifxfScGyfuVHkhGO9eVae46AbG4Lmth7Z56ltMOJcVy/A80iKC5c9Nk4bgnbjRYfP6lu6UVBiUCSnvcEXBlX7SK97btJjad4E3HOTHpueWIzk2HAszZsgPQcqdlD2onL7tOe3H3ZwxAzE/QeCkWAMp5Bswu8Z7M2/0nDWJTMS3S6ezed68B/zU/HbawIwNjxIMjzLU+VMrWIwKTESbz95FQpKGnHSYC3S8civcyTDe+WeKz9Th/wsnWg7LKlwtrBgNdYun4V17xzyKCdXSVhUWuIYnL9ggoXzPOyI5zikxkdgw6MLL/XG7EGc1rH4GGCtxjk/O35Q84oHi+HU2oWKkxEE0R+Gom2fUHG5o6sXLz48H0eqW9DQ2u0gawxnu9FnsmD9fXNwvL4dp5vOS6bhyKXsBGpYqBiA4xjFz7pkRqJDjRLOwinK331nZwUe/lU2rpgSi+27qjwKXRZSzgYqPNlXuelS+fWcGbJpU0reYX/3okr2n4IjxrmSty/u72v8rVhvfyCFmfB7Bnvzr1QgAe5DehNiQlFWexb1TV344605eHp5Hta/471yJrr4ZMRh4fR48JcWSauQZFzeh9RzMQxw4/xU/PPraszJ0uFc50VblW85wadWsZiaNMarnNxAjQqrfzcTz20/LJqD/dn+WkwaPwbLrp6CkuNnHaqOK8m/VTHAju9r0NTWjaiIIBytbsU/vqpy8O4LG6ihrObqK8QKuA12kTFvoeJkBEH0h6GIqGFYBumpWhyubMbnBbXITIvGbH0cvv+pAWs2FYDngdBgDeZmxUMbEYSE6QlgGcgWPxPraXzRZMH+o40O8j4vIxZ7ik+Ljis/U4ebFkzE3p/OoLbhsoLCWHjF+buHypswLztetk6Kc7ScsxLtqzoZA2lQFRuXXLE6E4cB34v2p5K3PxnCgZFnDCeFmRgWDObmX6nwVaLIZ0+KQZ+Jw/GodmzfVYW8jFhsemIxiiubUNfomXImt/g898BcRIYFoqiiSdKKJ/Vcv1w8CaHBGugnam1tJuyrfMsJPrWKteXkelIJVcVYve9CCyoxL3BosAaTxo8RrTruzlsgPKvUpgK4vIEaimquvsKd9dbfjQFUnIwgiP4y2EZ1hmVxotHoYPz+prjepkzO1utQWGpAanwEpiRG4uJFE0x9ytdbk8niVtmYmxWPgpJGh/OEKtgrX/3e5Zy1y/OQoovA2uV5WCditLdXgk8ajFiUk4C4qBCsv28OSmvOormtBynxEciZOg4fflnl0vZx5bIc/FzdivnTE2xGd1949YfKoCr1XRnovaiy/Wc4Dlc6Fl31N0M4MPKM4aQwE8OCwdz8KxG+eRlx1v+WWTxX3zETJpMFT2++XJVyT/FpaNQsnn1gLhZOTwBn4RQrZ1KLT256LJrae7B6Y4GkFU+tsoZyzc3SYdsXFTCZrcflZ+qQljgGf9ywT7bKtzvB5+lGRLD0r9lUgIwUragXOHZsCPYfaUBZbZvLeNx5C7zZQA03hUyp9dafjQFDEUpJEMTIYzCN6mYeLpFigGNbxMOVzZg5LRYXL5o8urYQLdTjphrz648tQlFFk02WMwxw04KJeHrzAdFz1r1ThA2PLkSyzn26UrIuApyFgzY8EGYeyJyoRc7kGLz/ZRXKattw4/xUJMdHoKmtB8m6cFwxZRxYloFGzSIwQIXxseH47TVTcb6nDwzDIDBQuk+0u3fhbwZVT/ai3vQDV7J3mZ2hw+wMnd8awgH/nLv+QgozMWwYzM2/O0W4qLwJgDU8Jzku3GXxnJURB5ZlsOLZb1wWDJOZw+o3C6zWNV7Z4ia1+Ajh1JKtIi5Z8Q5c8kCmJkTgjceuxPtfVqKgpFH2XPt+yPYKqiAEGAZev3t7oSCWhyMW3mW/EVHiLRguIcne4on11l8F0nArTkYQhH8yWEZ1TYAaBT83uM0xffaBuR7JGPtooT4TB5UKsvc4cqzFoYbJjKnjUNPQIXtOYZkB5TVtuPc/M1FW04aI0AAXQ7WzMVkFQBsZjPufv1zf5GCZwWbojggLAMsy+OFoI5rauhGnDYU+VYuqU+cwW6/Ddz83OISGe5K7KpdGlpGixdjIIJjM3KAXuXK3F+1v3q67vYvwffZXQzgwMo3hpDATw47B2PyLCd8JceGYND4Kn+6rsVli7b159osXYK027Y117bJCahW2HMdLLj72fRCl7vPdkTM4Wt1qVUyLAbXKOub/c9Uk/FTV4lbwZ6XFIDc9FmYLDwvD2IRAakIEZmXowLKsV5sROaEgliPl6UZkoDdQ3liPfcVIsd4Op+JkBEH4N4NiVGcYWw0TKVrO9SA8JED5JZ2ihRbkJECjlq8wXddoxMLseNuzsmoVtn5WJntOU1sPwkMD8MGXVbhl4URFxmQxWcPzQFltG/IzdQgPDsDDL33ncp0n78jFB19WOYSNe5q7KmZQzc/U4cb5qZdSubrBskCPiYPay31If5Br3elJ3q7zXkLp3sWf5eJINIZTzw5i2DFY5ente+b+7tppOFzZgic3/uCQu2PfZsq+VZA3rbCE1jr7S62tdfb8WI8WYy8q6ztg4nikJrguPmMjg9z2S2xu60FWWrStDYEw5ojQQJxpcd9rcfl/pCNA5dq/+a0dZbj3uW+8bh8h1t7hzuunYd29+Sg42ujwngVazvVANzZEsWAciL7H/tACabj2WRZDaTsVgiAIJQxU2z6NRoXyujbEaUMBWD2d+lQtFuQkQJ+qtclYXXQoNv7fEsW9n52jhc51XrTdQwpB2RCetbfP7PYcoRVUQUkj+swWbFm9BCtudmytlBTjqNDJeXl/uXgSntlWLBrl9Ox7xbhhXopD+yNPe2I796cWcrTXbinEh7ur8E1xPd7ZWYH7n987IG2svMGTHtlye4mB2LsMJp72Fh8OKPIwNzU1YevWrSgvL0dVVRV6enqwfft2zJo1y+G4vr4+vPfee9ixYwcaGhoQFhYGvV6PBx98EJmZmbbjfvrpJ7z55puorq5GR0cHQkNDMXnyZNx1111YuHChy/0LCgrw3//936iqqkJoaCiWLl2Kxx57DBERjgpEd3c3Xn31VezevRtGoxFpaWl48MEHsWTJEm/eDeFnDGV5+n0/N+Do8VbRv4l58zy1rklZJQVv69ufluO2a6dCrWId/n6u8yKyJ8fI3idhXCiiIoLwzP1zHQp5/Xy81aqEF0ufm5oQgbFhgbhosgxI8QZ7j8CSGYn4+cRZW4VRMSbEhXtlkfRlsRd/qPo4kqy3w6E4GUEQBMsyOFzZgiW54zE3Kx43zEuxeTqF4pSf/1CH6ZPH4f0vKxVF+Wg0KhwsdfTglte14bfXuMp7AWdlQ6NRYX+pAfpUrew59mlOxRXNyJ0Wi2tmJ+HCBZOkN54TjPVO+4SMFC1KTrR63P7I0+gnwaD6t21FitLPhrKIlCeRX2YLr2gvMZwUSmdGWlqcInPMqVOn8MUXXyAkJASzZ8+WPO4vf/kLXnnlFVx11VXYtGkT1qxZA4PBgFtvvRUnTpywHWc0GpGSkoLVq1dj69atWLduHQICArBixQp88cUXDtc8dOgQVqxYgbi4OGzevBmrVq3C3r17sWLFCnBOG6mHHnoIO3fuxCOPPIItW7YgLS0NDz30EL7//ntP3gnhhwiKir2H8+1Py3D/C9/63LLo7MH2xpvnqXVNziq54aMjuGFeCj7cXeXiiSuva0PmxGjZ+0xNGov//ucRrN1SiLnZ8cjP1AEASk+0IWfKOPkxTosFeB5FFc1uhUB/PP4mkwU9PX2YmBAJlcRcCv2ZL5qU5337OhLBE+vxQDLSrLfD3ZpOEIT3DFbUWH8RDJWVJ9uweOZ4B0/nh7ursHZLIRbnjsfpJqOt2rRclA/DsgDLoqah0+Fzngc+21+Lv9wzC4tmJDp4r8Uib1iWQW2DEZ/tr8XKZTmi0TrOaU7JugjwPA+eh6w33mSyYOa0OJdrjo0MwpmWLtn3JdX+yJPoJ8Gg+vaTV+F4ffuA7kP6iyd7RX/ZSwwkYlGEUpEMwwFFHubc3FwUFhYCAPbs2YO9e/e6HGMymbBz507ccMMNePTRR22f6/V6LF26FF9++SUefvhhAMCiRYuwaNEih/OvvPJKLFmyBB9//DGuv/562+cvvvgiJk2ahA0bNoC9tJGOiYnB8uXLsXv3blx33XUAgO+//x4HDhzAG2+8gaVLlwIAZs+ejfr6ejz33HOinmti+DAY5emlPNgW3n2/ZTFvnlLrmtJG9R3ne9FntmDzqsU4VH7ZExczJliyv7O9kHQu5BWnDUFdoxGr75iJ595z7YcsjHEwizco6c+sT9XKWqcHKhJhIPOGvcmHHmnWW8C/c7IIgvAtQxk15inCGj03S4emcxckq1E/u60Y6+7NB8PIR/kIToBPvq+BfqLW4W9Cnm7VyXNQswxyM2Jx9016tLT3IEUX6RJ5wzAMJsSF4Z2dFQCAdffmo6ahA3WN50WrYAsGVSXiQaNR4UR9h0tPZiXRbXHaEBytdo3M8zT6iec4BGhYnG6SV9CHuoiU0sgvhmEUOSH8vQaJEvy9U4cnKFKYWQXeO5ZlwTAMwsPDHT4PCwsDAAQEyBdAUKvVCA8Ph0ajsX3W3NyM0tJSrF692mEMc+fORWxsLL766iubwvz1118jPDzcIfyaYRjccsstWLt2LU6cOIG0tDT3D0v4HYNR4MhdqO1sfZzHhYmUhpp60qi+uKIZGUlRLotPUkyYrb9zbaMRsWNdhaTwroRCXvpUa6hUn8li64fccs7aazF32uUxchwzaOG/SvozhwVrJIXiQIZMD4ThoD8bRgplJghiuOIv6S0CUkZL5zU6N30cznZcVFwsU2pPIjgBLByHO66fho+/robZwjnk6cpVSLaH53lkpsVArWJRWGrAoXIDHvzldPxycRp+rm7F7oMncb67DwwDqFjPakOwLIOi8mZ0XzS5yOX52Qm2cTvjHAJu/7k30U/DIQ1JaRFLnudHXAVpdwx3xR/wYdEvlUqF2267DZ988gn27NmDrq4u1NfX47/+678QHR2Nm2++2eUcjuNgNpvR3NyM1157DSdPnsQdd9xh+3t1dTUAYNKkSS7nTp48GcePH7f9+/jx40hLS3NR7qdMmeJwLWL4MRgFjtx5sDkeXhUmUhJqqkQQCMU6nAt9CIuQcJ/FVyRi8vgxOFrdijWbCkQLZzW19eDWX0zB5z/UQZ+qxf/sPY41mwpwtLoVJjOHOZnxtjEKm4i8DNeQLPt34KvwX44HOJ63jafPZHF5FjmhOJBhTr4W2L5IM6BQZoIghiP+EpIqVXhJE6BGQKAap1od1+iCEgNqGztlrykUy5TaF2g0KpuHcbZeh55eE1Yuy4FGzeLG+anY8NERWDjOoaCYheOsUWQi74XjeLS292DlshzMzYrH3+6bi0CNChf7LDBbOGhUKszSx+H1P12JLauXeBQOK8i9wlKDi1x+b1eFZAj4k3fm4vMf6hw8if0p5Dhc0pCUFLEcDso/4YpP20qtWrUKYWFhePjhh235xRMmTMD27dsRGxvrcvzKlSvx1VdfAbB6ojds2IAFCxbY/t7R0QEAiIyMdDk3MjISFRUVDscmJyeLHmd/LU9hGCAyMtirc0cbarU1KNrb98UwsLVSsl9kGQZui1OlxEcgOFiDoCCN9EEy99198JSsxbi4oglL8yZgy+olOFR+2Rs4K0OHsGC15CKulNl6naxVUp+qxb/2VGPlshyEyLSrYJjLFm4pUuLDceRYK/KzdA45TcI5kyeMwVW543G+x4z9pQbUNhoxKz1WMux77V2zEBkaYHsHUvMoh3DO+R4TJo2PgoplJfszz9LHubwD4fwvD56Un8fKJlwzO8nrcCB38yQ2NrFx8jyP9vN9shvGLauXYIzC35I379xT+vv7JoYXNN+ji8Gcb0Uyt59rtRLMFg5Vpzqw7p1DtrHkZ+owMXEMTtS3I2NitIvMUxKKnJoQgfjoULASiiHLMqgzGMEwsBWyyk2PxUt/mI+fq1uRmx7r0DpJKCj22f5ayfcyMWEM9v18Bktyx+PzH+qwICcBj7+230leV2Lt8jxMTYqCWsUqnnN7uecsl1mGwaZVi1FY2ohTTV22iLDKk224YV4KkuMj0NTWgwmxYdBPjMa5zguIjAj0al7NFg5rl89ymC/rc7nuQ4aSaSEat3vF/u4lvIHWdHnc2XF8qjBv2bIFW7duxaOPPorp06ejvb0df//733H33Xfj/fffR2JiosPxjz/+OO6++26cPXsWn3/+OVauXInnnnsON9xwg9NDiD+F8+dSx7n7GzG0mC0cui6YcajcqpylOi0uPA/MytDhnZ3Si0teRpzkAuxOmWAYBrVuPNh1jUaoVSzGhAXgmtlJPldOwoLVkoJg5bIcfP5DHZ76fR5CAuV/skreVXZaDLoumFzCtS9fBKg81YF1f788lj1FpzE3Kx6vP7YIR461WIVAQiRmZcQhLEhtq8wpN49iOJ8zITYM2WkxePy2GXjxgx9d3sXqO2YiIkQjer5arULNGXnLf12j0TZ33iA3T2vvmoXwYHGDjTDOE2fa0dltQmSoBgkx4chNjxWdA7OFw6Fyg9sNozfvnCAIYihRKnP7s1YroeuC2UVZnpsdj6c3H8DUpChcuOShtUdJBetZGXGSyjJgDaFOjY9A06UK0mYLh8JSAwLULCZNGGMLybZwHDJStDCZOZTVtGHprAkwnu8VfS9hwWrM1uvwh5e/w/MPzcMTr/8gaoxd904RNq9ejKiwQMXvSU7uXT07CVHhgbBwsHme//FVFXjeuvfKSNEiKiIIFg7Y8X0NggJUmDkt1qt5tRYxHTMgjgtfGp2V7BW93UsQQ4fPFOaamhq8+uqrePLJJx3CqufMmYMrr7wSb775Jp599lmHc8aPH4/x48cDABYvXoz77rsPf/3rX3HdddeBZVmMGTMGgLh3uLOz08HzPGbMGMnjAHEvtRJ4HujsvODVuaMNwWrlyfuSymN6Z6djHhPLsrIFjlQi8yTkHhVVNMvmh2o0KqTo3IfHdHX1Dmi4z4SYUFsecl2jEYnjwpA1KQYNLV24YV4KPv+hDuDhNrdLE6DG2uV5WCfmDV6eh/M9fXhq8wEJ4wGQNSkGK1/93kXYFpQ0oqiiCW8/eRUWZscjOFhj+30onUeHe8m00vqvFbPwwsPz8GNVi0Mec11DJ0zjx6Crt9flfH2q1q3l3xfzKMyTWN5wd1evy/EMy6LtfC/MHI/TzV1oautGnDYUkWFBuH5eMgCIKs11jUZcuGBCb69ZdBzevPP+4M3vmxi+0HyPLgZzvv1B5mo0Khwsu1wbxd7ba7ZwGBsZhKa2bpfzhArWzkWwAPs8Y8bte8ydFovq+g6He5wzXkT2pBg8+uo+Fy+zfqIW0ZHBmJQwRvS9aDQqHDnWgqnJUaioOyfrvT9U3oQFmTqbB1PJnMvJvQs9fQhQs9j/c4PLuxI80hPiwtFuvIj8TF2/55UBMD9Th4XZl+u4dHd5X79GyT7RHm+KdIrh6V6iv9CaLo9WGybrZfaZwlxVVQWe56HX6x0+Dw8PR1JSEmpqatxeIzMzE99++y3OnTuH6OhoW+7y8ePHMW/ePIdjq6urkZOTY/t3Wloa/v3vf4O7pFzZHwdYc54J/0Np9WulBY5sCxkP1DQaFRUUUVqooT8LozAuwdoottAK1QTnZOrQ02tGZFggisubUHriLMrq2sDzwKHyJsmK4LbiJEcbAQAbHl2IoydacbLR8V2ZeR4qVtw6npUWg6MyvRVNZg4FJY1YkKVzULiVzqO9oLlo5iTP+a+3DmHdvfk4erwVUeFBNqv13TfqbXk9zvf0tHelt8hVfRQTpBwDNLX3iG6uVi7LwW+umoyDZQYXA4a7HKbBqBxPEAThawZD5rrDuTZKhp23F5APvRYMnBseXYiiiiY0tHbbjLqf/1CHpXkT3Bos1QyDG+am4MilKtL5mTr8ZulklBw/i9z0WMnCX6vvmInJiWNEn4fngUd+nYOP/n1M9tnrGo1YckWi6N+klEE5uWfi4HY+hbSyP/x6utfz6itFVcDTwnO+ruo+kipIjwZ8FrM3btw4AEBpaanD5x0dHTh58qRoDrM9PM+jqKgIERERNs9yXFwc9Ho9du7c6dBzubCwEM3Nzbj66qttny1duhRGo9Gl5dWOHTuQkpJCFbL9EPvCF2I499WTK3DkWrijEUGBauSmx7pcU6ygiJJCDd4gjGt/qXVce36sR4uxF5X1HbAwjEthJ3WAGl0XzOB5oLTmLBiWwa3XTMVsvU70ndjf51RLF974nxIcO92OwlID/vDKtygqb8YN81KwIPtyIS+5Z13+Hxmoa/CswFpQkAbFlfLzWFzZBFajQvmpdhSUNaP+bDeK3JxTVtsG8MD+nxtQVtsGFXt5EyX23bG3/Pt6HsWwL7wmVThGHaDGhV6Li7IsPOOGj46AZRnoUxzbirjbMHr62yEIgvAnBkrmKsW58JKzR7m8rg36VK1kmG9xRTPO9/Thp2MtDsUpC0oaFRUt4zkO2rBALLoiEXOz4jE3Ox6ffF+D2sZOW+EvMZnx3HuH0We+7CAQ+ldbeCB2bAi+++kMEseFyd47MSYUgNWrzrIMNBqVpAxz3qM4FxwVkJtP+7Qyb+ZVE6CGJlCD8lPtsmPzFE8Kz/miSKcUUu+U8C8Ue5h3794N4LJCXFxcjPb2dgQHB2PhwoW44oorkJGRgQ0bNqCnpwc5OTlob2/H1q1bceHCBdx+++22a/3pT39CQkICMjIyEBUVhdbWVnzyySc4ePAg1q5dC7X68rAee+wx3HXXXfjjH/+IX//612hubsZLL72E7OxsXHPNNbbjFi5ciFmzZuGpp55CR0cHEhMTsWPHDvz444/YuHFjv18U4Xu8bdPjvKiIWgmLLy/UAFxaKzm3oZLzYAdqWKgYgOMYjxY0uZDjlctysO2LSgdLNMOyqDMYRUOp7Z9DeCf21tY+jkdQoBr6iVqXIiF/+u/9Dt5G4Vm3rrkKJw1GnDQYoVGzyEuPQ5CGVVy9Ucif7ejqRU2DfO4weKD9fB/qW6whyd0X+zB98jjkZ+rE86hxuZWW8A7W2vUWlvruCNdad28+jp06h4bW7gFvtSRnpV67PA89F02yiu3hqmZkpkWj9FLompI+yoPZG5sgCMIdnnr/hrotnslkwdwsHY6f6cDZ9gto77yILDuPsrvQ69V3zMRn+2tRVuNanFJJq0vBW1lnMOK310zFH17+DlOTonDVrAkOnm6pa8/J1GGfnaczNz0Oz20/jGlJUbjnlkx8uPuYpLd3xrQ4XDRZsPenM6htNCIvPRYBalW/WnzxHIfU+AhsXmWdz7pGI8bHhiErLQYt7T248/p0j+fV+o6Agp8bcNJgRJw2FEtyx+Oz/bX9bj/mabtSiugiFCvMjzzyiMO/X3/9dQBAQkIC9u7dC5VKhW3btuGtt97CZ599hi1btiA8PBzTpk3Dhx9+6BA+nZOTg507d+Ljjz/G+fPnER4eDr1ej02bNmHx4sUO98nPz8fmzZvx+uuvY8WKFQgNDcVVV12Fxx9/HCrV5a8nwzDYuHEjXnnlFbz66qswGo1IS0vDG2+84XJNwj/wVWl9uYVsw0dHsO7efJeQVzFlwiU8hgcumizYf7TRbQ602EZBybj+/FYhNj5uXWjNPO+iLIs9R256LHpMHIrKrUJpVkYs1GoV/iahmANwWPhtOTsl1udKTbAKWzUAU59ZUaic2cKj9lQH1r97CC/9YT7itKGS85OfqUPM2BA8/rpjxc4Pdx8TNWgAVsv3FVNiEKBRYca0cUhLGIOIEA3MfdZ8XrnvTmGpAQfLDFh1+0xcMysJJpNlQMOc5OZ53TtFePEP88EwkLx/Q2s3rpmdhNaOC4o3jP7SlsKTTbKvw+kIghh6+ttLfihCUoUxHyw1QMUyyJ4cA32qFiGBaoe+wvYG2LLaNrSc60GyLgKz9HE4VNYkaewF5A2W9kbWqUlRmDF1HMwWDuV1bXjgl1koPXFWdvx1jUZUn+7Adz+dAQDoU7Xo6TVbI7Pq2sBzvKSiv3JZDoICVFjx3DfoM3FgGGDJzPEu4d+AtDLovJbbp4PVNRoxc9o4zM9OgIplLnnSAzyeV3cOBwBY/24RNq9a7FWorCdGZ0+Va2JkolhhPnZMPicCACIiIvDYY4/hsccekz3utttuw2233ab01liwYIFDuykpwsLC8Oc//xl//vOfFV+bGFjkNsm+yGNSspCV1bbZ8pME5JQJQQC4y20BILlRUKsY0XEJVSPHRgahub0HUydEoaiiCVfmJODbIw1un+PXV01BgFqF+5/fC7PlkrDLlRZ2gqK993A9Fk2Pl/TG2xeKUgOyBdYCVCxMFg7r3jmEqUlRKKpotoWuiT3vTQsm4unNBxQbNPIzdbhpwUScONOBusZOJMSEISBZBYv58vnuvjsqlkVqQiR6evpE36evUPL9Kz3R6vL9syclPgLxY0Nw57VTFW8YhzoH0JNNsq/zvgiC8A88zQGVYjCVDGHMn3xfg8iwAJzrvIi9h+uhYlms/t1M/O2+fDy1udBBaT5c2Yxn7p+DxJhw9JrMqDrVDpNZfsxyewx7I+vYyCCcae0CYDWqfv9TA5LdFEQbNzYERy/lPgOO4eQ8D/xzTzWun5eM9ffNQWnNWVvhzMyJ0eB5HsdOteP/vScfn+2vxfnuPkUe7QVZOpgtvMhaHofO871YvbHAdo09xaet+4V+eICVOkIOlDZiwfQE8Bbeo/t4YnQeThFdZJgeOHzaVoogBJRukoW8FynlTC4sFVBmJbQP7RWu7U6ZcBd+s2X1EtQ3n5fcKExKjHQZV36mzqHqZbvxIpbfqEdlXRtUKlbRc9x+7VTc88weTE2KwtjIIESGBrgVdmW1bZgxdZw1jFpJWBHPITkuHK8/tgg/HG10qFL9+Q91uGXRRFSfbneoJFrb0Clq0c5Ki8Hx+nbFBg37th725/zjq2Muwre/3x1foOT7V9/chegx4n0P1SoWedPicPGiyeN7D9Xze7JJ9tWGmiAI/8OfwlQ1GpWtZoMQVSQGx0Ayfem57YfxysoFNo+yvewrq21D9wUz1r9bBAvH4Zn753pVYNLZyOpcXOxf31Tj5UcWyF5bn6rFP76qsn3mfA3B833j/FTEjQ1BZGgAAgJU4Hne1k5S8NS2Gy/ipMG9MrhwejxOGcT3PCuX5bi0SJQr+KkkGkmpI+RUUxe2fVGJRVckeiRPPDE6azQqv4jokoMM0wMPKcyEz/Fkk9zfPCYlVsI47WVrrBJlwt1ibeE4XOg1y24Utq65ymFcgiLo7An+UHUMq383EyaLxe1zTEyIgOFsF/66It+mdI+NDML0yeNQ29Apmwv8i1lJAMcpKhS1IEuHi2YOf3j5O0yZEIWoiCCH3ooaDQv1pQIXgqD+cLdVeNtvNDLTtJg+KRoffFklej+BlnM9+OWSSdBFh+KmBRNFW1qJbcCGOgcOUPb9Gx8bhilJY/HD0UZRxVYtE64tx1A9vyebZH/aUBME4Tv8JUyVYVlwDNB5wYzDP51BfUsXUhMikTfNug6qVYxNUeMZBtX1HXhu+2HJMN9D5U04erwV4GGTfR/9uwp/u2+ug/yuPNmGJ+/IxbPvFbtca82duQhQseBEvNDORlbn7g48D/x/3xyXDKl+/LYZ+Gx/rYPMEOsQUVhqwKFyA15duRCffFeDsx0XUH6p2wZw2VP78iPzcbHPvbf8gkm6q4VU6pvZwqHO0ImU+EiPFDlPHCHC/s4beaLU6DzUEV3uIMP04EAKM+FzPN0k9yePSclCNjsjDs3nepCXEYt8fTw0KkZUkAm4W6wzUrQ4XNkku1EoKGlEXkYc3v28AhaOc+jv6Hzsc9sPY9MTi90+xyy9DifqO/DiBz8qzgUGgGRdOBiZQln2nDQYsWRGIvaVGGAyW3OqhBDyjBQtyuvacLb9AvIyrNXH7QW1kDv8y8WTLrXLaMHew2cwIS5c9p7J8RGYnBCJqePHYO9PZ2QNFTUNHZieFn05L3kAcuA8sYQr+f5NGh+FHd/XYP19c3C8vh2nm87bQtmCNCx4jofJS1nmaYur/sIwUGx0AeAXG2qCIHyPP4SpCj3undv2fVNcj3cvpRn1mS0oKm/GzGnjkDZ+jIuyDDgqfXuK6xEVHuTQU1jwMAvnMQwwLdkacSXmjf78hzqMvz5dVHnjOB4zp41Dn9mCc50XUV7X5lJcTJDjgsw4ZTiPWG0IrpgyDoaz3S5yXqpAWXqyFkUVzbZcZ2esa3AzrpgyziF32x61isXcLB0KPEh9E1LPctNjwTCMLYVMwJ0ip9QRUlbTZvO28zw8lieeGJ39IaJNCjJMDw4+aytFEIDyDbVYuxtvS+vLtTN4dFkO9v3cgN4+q9B84MW9ONl0XrYFgLvFemxkEOpbumTHdNJgRLDGmsOTlRajKEcoSKOSbbPBcbyLsiycv+GjI7hxfqpL03Wr5TMOZjOnOGcHsBYVyc/U4Zn75yJ7cgw0ahbZk2PwzP1zER4agKy0GKhVrEsrp9l6HZJ0EXj89f3YvqsS739ZiUnjoyRbc9iHJFssHGolWloJY2lq68bWnRUubSVMJost18jbVkpK22o4o7mUqyXVTkMIgXty4w84XNmC3103DXMydThU3oRtPmqRoaTFVX9bcADW4opKNsksy0huqBnGugFdkJMAk5lzaFFGEMTwwB8KD5p5HmaOl2zBtP7dIkSPCcaS3PG4aLKgwCnKx/n4sto2ZKZp0W686PA355ZTgmJYUNKINZsKcLS61aW1lFT7x4tmDm3Giw4yFQAKjjZi3b35+O01U7E0bwL0qVpoI4IQGqRBakIkjF29eOKNfdBGBonK08JSAwpLDNj4xGLcc5MeS/Mm4JeLJ6G5rUf2HTa19aD0xFn5dowKUsZazvVglj7OYd+QNSkGz0sYKORabwmGaLl9gz5Vi6WzJjh4251bXipBrl2p83GCci2833tu0mPTE4uRFDN0HlxqMTl4kIeZ8ClKN9S+tDqLWgnjIzAxYQw+3VfjYo11Z3Fz5zXs7OpDXkYsvimulxxTsi4CPMcjaVwYHrv1CmzbVSH7DMI7kbJ2BmlY7FMg7O2LSwkK2/u7KnHn9engPQgrysuIRZ+Zc/GKC9e82GfG2rtmYd3fDzlUEg0N1uCPG/bZznHXmsM+JJnjeKQmRADFjuOSCmcXrNTJceEwWbh+5e54G9LEsCxONp3H10Wnse7efFSePIfGs92IHWv1NAjKsvAujh5vxXc/ncHhyhZr2J/C+yhloEOzeN6zTbLzsc55/CwL9Jg4qFmWQsYIYhgx1GGqGo0K1afaUd/SJSsXy2vb8GNlCzJSx6LpnHvlcW6WDv/9zyMOnzvnCDsX2RIr6HjSYMRVM8cDkC8kKsjUgqON+PNbhXj2gbnQjQ0BDx4dXSa0GS+iqa0bcdpQrL93LipPtknK06WzJkDDXI44YhgGDa3yxv04bQgOVzYjMiwQrz+2CEeOtaCu0dHTylk4t+v+uLEhSEscg5SECKzdUoipSVEA4HWEkZxHd9XvZiIkUI3PjjY67O/6Y6BR2gpNLqJtKApu+UOkx2iBFGbCp3i6ofbZfe0WsiUzEvHzibN4cuMPoqG5SkJB5RbrWxZNREJ0GN7dqXCjwDGYmBDpVsHmOB5qFYMAlsGVOQngLy3IABCgUSmy8N60cCJitaG20DBBYUtPGYsFWTowFt5tWJHJZEGyLhIPvLBX0pu98YnFiAzVYMvqJThYZu0N3dnVi7rGTpdz7BXq4/XtqG/usvaNnHY57EmjUYG9FHb+7ucVMJkvh77JhbOvf7cIrz+2CH94+TvbOYDnCqK3IU325x0obcSyq6dg0vgx2H+kwRYm5sxJw3lEhAZ4dB+lDHRoFs/Do02y/bFSho/tu6ooz4oghiFDGabKsgyM3SYHz68YDMPgjuvTcb6nD4EB8lveZF04eM7aZcH+eY6dbseDv8q2hS0LCrQ+1ZquJIRW2z/q+Ngw7Co8hQANi7z0WICH6Nps4Th8feg0Hvn1dNx7cyZ4C4e+PgtOt3a5tJkUlOuWc91Yd28+jp06h4bWbpcwYvsUH3fr9cxpsQgJVNvOn5+pw8JsR2XQxAGzLqWYyaW+/f2zcvzm6imwcJyLV14MOUVOzBGSEh+BaclaHChtxDPbihze92DmETvfYygLbvlDpMdogUKyCZ8ibKjlQmkGclEzmSywWDgcrmyRzWN1F7rjLvxGzUA2fFpjFxttMlmsyqFcWHJ6HC6aOewrMeDfxWdQfaYTFgAXzTz2lRiwq/AUJsSFyT57fHQoSo47hoYJyqrwvErCijQaldsc7cOVTdCoWYwJC7CFMk1Pi5YMqS4sNWDNpgJwHHD3f2RgfqY17AnA5fDhLyqx78gZ/PcfF2FullWICh5zubH8cLQRUyZEuXwuF/Jlj7chTc7n8TxQcvwsjJfadEh9/+K0IS4hf8J9iiubEBIS4FX4lEajQnGl/HMUV/Y/NEsuBcL5uy8cq1GzuHF+qmzopJK5IgjCfxjKMFWO4xERqkGcNlTymPxMHdISI9FrsuDY6XZkpkXLyuHZGTqEBKhcnmfj44sRbJcyFR4agPnZCS7pSvmZOtu1Jo2PwvYvK/D2p2V4439KcLDcNQdYCF/WT9Tiw6+qcKC00RpmzsNFWQYuG6ynJWvx1OYCxGlDcdcN6ZJhxID8er32rllIiAl1ON85NU5I8eF5SIZtr1yWA1bFImOiFiFBavxy8SSc67woOzeAe0XOOVx6flY8Ort68cl3NS7KsrPscYdGo0JgoLrf8lCIHLj/hW/x9qdl2FN8Gls/s8658aIZGjdGmv6iJHx9KAuSjSTIw0z4nKEujuAri5u78BulxSIYlkXn+V7ZsOTObqsQuGFeCspq27D/aAPqW85j0vgolNW24WCZwW0bi6nJY7FmU4GoopYSHwGVioVGo4LJZBF9LrVaBVajhkrFSiq+AnWNRjB2FSQBuG29wPOARs2ir88sG6L24e5jWHNnLvIzdei5aMax0+dkx+LcNkxAaVEpb0OaxM4Tq1Zqj1hLEHtqG41QqxphMnOSFmqpsC+WZRTN28Ls/oVmeVIoRTj27Sevwr6fpQu6UQEwgvB/xNYeMTkJ4NJxzIAaxycmRGJMeJDoesswwG+WTkF9y3mb3JVqf+iQHiQh9zmzVeZvWb0EdY2deOilb0W9vyzDID9L55BbGxkW4NK6SSzi5pviehy6VKDMba71xBikJkSip6dP9j3JrdcRoRqoGOk5su9ZnT0pGsfrO0SLnH22vxaGs904Wt2Kj7+uxuO3zcCZli7oU7Vetd5yxv6Y/naG8LU32Dmqyz7t6LP9NZcqtg+st3mo99yjBVKYCZ+jVjFIS4jA5lWLcah88Nv9+Dq3Suo4pRWazTyP1RsLkJse6yJsMidGI2ZMMN7ZWY78LJ1kzjBgzQX+yz2z8E1xPc62X24RISyKn/9QJ6osq1UsMtNisHVnhYNwcLYgCwIkNSECNy+ciO6LJslWVcm6CJcF2NP3Lhc+/My2Yjz/0Dz8WNmMhBh5z7p92zBnlOTueGtgETvPXc726jtmurQEsSd2bAj2HWlAWW2bS1i5O0HPMIzbKITxsWFgPLDCS+FJdXKe4xCgYXG6yX2hPMqzIgj/Q4mSIRhBzTyPoormQQlNVTMM1Cwjut5mp8WAZRmHz+3Tg8pq29Byrge66FDkpsciKiwAfRfNtvPF5D7PceAYRrbS9huPXYn3dlU4yE7nHGi5VCMx5dqZprYeLP+PdMWKkNR6LeWVtD3TJRl9x/XTcMpgtHXCyEjRurSbDAnSICoiCGYLhxc/+BHr7s13W7/EG0WuP50xfF3jQ2itNjUpCmMjg6DThmJ8XLiLEUSo2D5QaUf+0GJzNEAKM+EzzBYOXRfMOFh2WajOzdJhUU4COAvX73Y/njCYFjcxwSpY4hmGwbdHGmytIsSEzZ3Xp+P/XDUJf/rv/ZJC+OU/zEdPrxlVJ89BzTLIzYjF3Tfp0dLegxRdJDQqBkvzJuBQeZOowv2Pr6psAtxeOABwFSDFjoq6s9IshJA7vz6GZcEywOrfzRTtc7l2eR6CNCqY+8wICtLgu58bZK3oPx1rQUnNWfz2F957bFPi3UcSeGtgkTrPviVITUMHTtoVUGFZoLiiWXQczs9in3esViLoeR6Zl6qXSz1HZlqMTy3NSo1OlGdFEMMTpUrGUPSC5TkO2vBAREUEYcOjC3G4sglnWruREh+BhTmJ2FN0SrSmhiCHb1o4EV09ffh0Xy3u+Y8M9MEscScrSnpP7z/agPPdjl5f58gjuVQjZ+VajNSECGgjgtB30SR7nPPYhegAAAgMVIO5VHBTLHJAeNbc9Fgkx0fYejVLFTmzN1wLXvDz3X226t+CgcJXipw3kQu+rvHBsAzSU7Xo6TWjqa0b4aEaREcGIzc91mHf5KsaInIMRItNwhFSmAmfwLAsqk51YN07hySF5WAyVBY3Z0t8akIE0lO1yM/UobDUICps6lu6EKcNlRTCuemxaOm44NKewT6MjDNbFFcKt1+8AWkBsuGjI1h/3xwcLDPYFl1b2JlT/rf9ZsnZk56sC8eMqbE4cqwFDa1dmDktDob2C6hp6JR9l01tPYgKD8Jn+2vx6LIcvCpipV7z+1wcPX4W86cnuBReEVpqKRGs3hpYpM4rrmjGL2YnYUFWPBbZFVBheFbyPkILKvvbCKHKc7N0bgW9muPR2t4jadFfuSwHre09iA5zLDg2GAx1RV2CILxDqZIxVL1geY4DAyAyWI1rZiUBsK43apaRbP8oyOG46FCMGxOMCbFhsEjIX3uUpO+IpQgJkUeCMVmuIJaStJ7U+EicaOhUlCfuEh2QEIHstBgcPd6KcVHBSI6PRHFFE2obHCMCWJZBn4nD7ddOxVuflOHXSyd7ZLgW3sP+nxtwuLLZVv27v84TZ+VeaWVqJcYOT9KCGJbFiUYj1ksUZgPgsu8ajLQjkqEDBynMhE8w87yLsgwMbeP0wba4iVrY3XhrASApLlyy9YPbKtHvXH63nlYKr2nowDnjRVkBcuJMOx75TQ5KT7Q55Ct1nu/FtflJtmvbb5acPemHK1uQljgGWz8rA88D5bXnsPw/MjAhNlz2fQoW68iwQEweH+XgQRCMH70mMxpaumyFV357zVR8tr8WxRXNWH3HTASqWZj73G+EBAPL5lVWg4NzWw2pTYk7w4ypz+z2+ISYUExJGuvQgsqekwYj4mPCFAn6FF0Etn1RKZpn9vkPdbjj+mlDJlApz4oghhdKlYwrcxJskVRyxw2ksmAyWVyuneq2O0U4iita8OAvs3BRgbdWSaSMVIpQcUUz7r4xA5ueWIyahg5JhVlQrlf9bqaokVwwrBZXNGPTKvl9ldye5PHbZiA4WI37n3fshvHu5xV47oG5iAwPhFrN4P9+e8JazCtQjcdvm4EXP/hRkbE3NT4C0ZFBmJoUZZOHvR54xMWexV7xz8uIRbIuEgdLDS7Kvpi89nX7JTPPuyjLwGVnw7p78x2cDfbXH4r2U0T/IYWZ6De+ttz5Gm/u6c2CJmdhl1pAhfDmfT83iF5TSZVo53drMlnAsozbSuHne0wKikSdR2xUsK3ytpCvFBassRX9Ept/Z0/69MnRuGFuCs52XkR+lg73Pf8N/roiX9ZiPXNaLJLiwhGgVuH+F/bCwnE2Jfx8Tx/qW87j2W3FLsJ71e9m4nfXTUN4iAa82b2yDMAh967PxGFOVjxSdOHgLbxbC76nhhkxw4ZUsTbAGlZ+UqGgVzPW0Pw/v1WIKROibKH//9pTjad+P7RKKeVZEcTwQqmSoZo53u96wZpMFuRNi5Nt/5ieokVCTDhCAlXgLdKy3n4/4C5SZl5WPP61p9rl86eX54HlAYbnkJEUhbTEMfhg9zHR6xRXNOM3V03GunvzUXXqHBpauhHr1CoSgFX2Z0rvq+T2JC9+8CPW3zcHFqd1Nzc9Fk3tPVi9scDhvI+/rsZ/rZiFFx6ehx+rWtByrgfjxrqOSXjeaSlj0dnVh4U5CWB43ioXvVziNQFqnOvqwzs7y1FyohWz9Tr0mTmX1pdy4f++TAtSsuctq22z7d8EctNj0WPiUFTe5PMcf1LCBx5qK0X0G6VCVa6Nk78gFMDaV2LAu7uqsK/EAAvDgGHlfypKWhMJC6iAYJktKGnA3Kx40QIcSnsZOr9bJcIhPESD1AT31vKSE2ex/+cGh1ZJ9kW/NAp6RDe0dkM/MRp3XJeODR8dgcnM2QqCiLa7WJ6HmIhApMRH2gS+oIT/cLQB0yfFuCjLgPU9P7/9MCwWHts+rxSdP+d2Es5tId7bVYH/d+tB3P3MNzjV0uV27gWc23EoOb6npw8TEyKhkriHEFYeoJEfgyDoBaV04+OLkZ+pQ1CACvmZOmx8fODbvCjBuU2IXDsUgiCGFqVKhsXC+WWNAjUDa9qSiIx58s5cRIYGwmy2YNsXjrLeJiMC1C77AYDBcw/MRfakGCzISYA+VQuGuawUBweosPFx+TZbQqcKqbGtXJaDf+6pxppNBYgeEwx96lgcPe7YKhKwdj2QaoukZE9SWnPWYU8iRLRJtf/7r7cOobfPgpITrfj1VZMxNTkKf36r0EVZXrksByqGwTPbitDTa/ZoL2XP5f1YIz7bXwP9RC2euX8ufrVkksctCn3Zfsmb0Py5WfFW4//ze23tp97+tAz3v/CtR/sMZ7zdszrjqzZbIxnyMBP9ZqQU9LEPXxK8mX1mC4oqmnHLwomyRUuULKAt53rw/yyeBF10qM2ztu2LChSUNAIA1tyZi2eclMDOrj7MnDZO9rpi71ZJzmhqQiQmJkTiHRkLvD5Vi4/+XQV9qhZjI4NwzngRapbF/OkJsHA8jN0mHK9vR+I4+X6LsWNDUFZzFqebz7tULH35kfloOteDhpZuqFXAnMz4SyHmPIrKXftBK/G6F5YZ0NTWjT3Fp21W5+S4cJgsnEulV/AYktw7AXehymrAo/zf4VD8gyzgBOH/uJMjGjWLuVk68DyPvIw4v6tRwHMckmKsUS3FlXZevYw4XOg1477nv4HJLgqpou4cbrt2Ko5UtKC2wYgkXbittaMgr4Rj8jJiUdvQiZnTxuG+/8xCcKAaLM+DM4u3bXRef+3H9t2RMy5tmgpLDVCrWCSOC8fhymb89hdTXTy5iTHSclfYk9hkt1OND8BVqVMiW8tq25AcF4FvfzqD2oZO/HWFeJup1IRITJkQhcJSA4IDVXj70zIHD7Baxch6RJ3DyRnGOj6WYaCLDnHxjNuPUSqi0RdpQQzLwsTxbjtS2Ifma9Qsbrt2Kh5+6Tuf7jN8UWjP1222RjKkMBP9ZqQU9BHCl3LTY2199JrauqGfqEVQoBocw0DKR67UaDAlMRKTE6wKrtnC2ypbb99VhfxMHZ5/aB5KTrSisbXbFu4UGqzxqpehEuEAQPKYNXfmourUOfztvrm2dzFbH4fsSeOw/+cG8DyPtPFR+P5IA26cn+q2IMjuwpPo6b2c0yv0KyyqaEZTWzcSx4UhZ0osgjQs+nrNYDVqUSOEEq+7/UZAEEivP7YIf3j5O4cNUlGF+56XStIJ+hMOpSRUWc1KFwuTEvT+/nsjCML/kZIjc7Picdu1U3HgUg5pXkasX9YoEAyI8zN1WHipAONFM4dHX93nMM78TB3ys3QuSo19DRIAosd8sPuYS3FTJeuvsLbnTI7B5z/UOaQ9Cff9155qm/JsXwtFrWIxY5p0UUsLD9y8cKLNeGxf40NQup3zrZXK1okJEahp6FTUZqq+pcu2NzJbOHxddBp3XJ+OA24UNPtwcvvexo1nu8CywDP3z5Wt+yEW/t/ftCBBQf3btiK3KWWz9Tq0nOux9tvOiseB0kafpy32t9DeUFS2H84wPFVZkYXjeLS1yfcPJaw/vNOt3S6FvwRh6Q/hoHJoNCrsKzGgrLYNc7PjxXvo/m4mJo8fA3OfeOsJC8Pg/he+lVxANz5xJdROPzerdQ8Oi/fCnEScaOjA/3xzHOV1bZit10mOyd27Fbu+s3CQOiZAzaLOYJSs6FxwtBHFFc1YuSwHLee6MW5sqGR15oKjjTjf3YfsyTH4cLfVOODumdRqFvtKGvH2jjKHZ9Knam3XkeK310zF0epWh/whsc8W5CRAo2ZlC8MszZuAO6+dit5Lyr69cmy28D7tOyqneCuZy4EkMjIYANDZeWHA70UMPTTfowu5+XZee3LTYxGgVkkq0UeOtSgunKgEX+ZnCrL+7U8vyxWGsSpgYsU1AatcWndvPgDIHrPpicVQ8eLP6cnaLpcbvO7efPz5rUI88pscTEuKAiMyFinvbHRUMJbkjseugpMormjGunvzHepnKJGtv78hHQtzElDg9A6dEeRtbnosznZcwM4f6uTlvp2CZj9HcucIewtnpfmem/QDYuS23+O528Ok6iKgYqw6BMsyeHdXFfYUn5a8tvM+wx1i32NnnN+D82/c3Z5V7vs8EtFqw2RTR8nDTPgEnuMwNWkMtqxegoNlhmFX0EcIX5KrSP3c9sPYvGqxZOK/N+E+YuGzDM/hh58bbYqdIAzsKx+PHxeKedkJturYUvAchyCNCktmJAK4XEnUfhhSIbx9ZmVFzIT//mx/7eUiJa3diHUS+gxjFaIaNeu+8veqxTjVaMTEhDEuVlwlbTfEejOLtftQ0vNSCHkXq9Iptmnsj3VWTnAPh1BrgiBGHs5rT4+Jc6muDAAFJY0oqmjC209eZfPm9meNGohwUbH0KSWhyJUnz2FsZJDHXkKGZcGoGNQYzqOu0YgADevyDML7vTInAcdiwvB/9x63eWqd71Fd344tTy5BX58FQRoVOJZxkRtS3tmmtm5UnWzHHden48b5qVCpGKjYy3K0vK4Nt107zSZbBUVbCOk+drodkydEYcVz32DDo4vcyuB/7anGQ7/KxgMv7nXf8cPOIyrMEcsCy66egj9u2Od2H+LYTjIWgLXXtJRC7KnhxbnQl9i+LCkuzJZSZu4z27p6azQqn6ct9rfqt78X6/VHSGEmfIZaxWJMWMCw3NBzHI+Z08Ypqkg9X6IqpTfhPvZWTsESyTCMy+LqHPoUpw1FoMpVUNojudlgWdGx2F/L0yqQZbVtON/dhzWbCnDD3BTMzojDju9rHIS+0C7jz3fPUvSei8qbERKkdukrzPPA5z/U4ck7c0WrZIu1uADE231UnGzDPTfr0dDahbPtF1xyvATha7bwLhb7JbnjFQl/X0PCiyCIoUDoeytWW8J2jJlDQUljvzfaAxUuKpY+pSQUubG1G6HBGtljnBUUVq3CBZMFP/zUiKa2bsRpQzE1IQrbvqjE0rwJLs/A8zwKjjY6REE5c7qpC9t3VWJedjya23oAwEEB12hUOFhqcPCCOsupj7+uxqrbZyI0WI3NqxfjQEkjTjV1IU4bguAAFR6/bQb2HWnADfNSbIp29uQYPPDLbBwsa0SficOHu6skHQQrl+Xg8x/qsPqOXBwobQTHWb3XSjt+cByPvIxY/D+L01BcIf1dc96HCM6JQI0KNY1GSQOFN4gpqM77Mo4DgjWsi5d4INIW+1s7yNdttkYDpDATPmc4buhNJgsyUrQormyWPa6u0YiF2dILiFIvoL0yCwDZk2Jw9EQr6i71E8xNj0NF3TlbQTDgcqsmtYrF7ddOdasse7PZEBR4lYr1qAqk8N88D3xeUIdfzE5G1al2l+cuLDUgI1VrE/RS1DUaEREagP2X2m059xXO1+vQ2d3r8HlKfDjSEqPw6b4alxAtMa+zYHn/qaoFKpZxyfGyjwxwzhXypt0XQRDEcGewNtr9zc+UQkx5URJpFB8TisAA+TvaKygMy+Jk03lJhfLrotO48/p0BDkZzZX2eX7uvcO2kGr7wpZgWdQ0dLr16D7//mG89If50EYEYcH0BGz7otKWg3z7tVNxVd4EUUV75bIc5GfqUFDSiEVXJGDzKquDoK7RiMTYMGSnxaCprRu3XzcNB0oasH2XVeYq7fixaHo8+kwcAtQqfLynGio33VWaz/VgQU4C8jN1yMuIA3jg30WnFRkoPEFqbuxbaE5NipJUUH1RcMye/irhI6VY72BCCjNBCPA8knW+WUCUKrO56bGYmx2Pla9+76LYrrkzFwAclGali6vZw8rPzt7omdPGISUhAiiWfkZ7j639f6tYFsGBKknhMDUpCiwD2WsnxoTicGULAFcr7tHqVrSc68GcrHj89e8HL/dm7jbhbOcFFFc4Gj2Ed/b5D3U2BV7K8q5WsXj8thm4ckYiUnSRUDOAWsXgQImjldsT4U8QBDFS8Haj7UnO6ECHizorL0rSfKYlj7X9txIFxQxpGbzhoyN44eF56DVZUFzZitqGyxFgs/Xy1cZzJsegvvk8piZFOXhXvy46jaV5E/DJ99b2S0qMuiUnWpEUFwbewmPRFYlY/24RAGBaslZS0bYPgy6qaEZ6UpStoJpazQJgMG5MMKrrO/CPry73o/Yk/UkwlkxNinJ7Tmp8BBZkx8Nk5lDTKF1zRTBQeBv11V8Ftb8Fx8RQMwyeXp6H9e94roSPlGK9gwkpzMSIR0pQO39u6jNjdoYO731ROaALiCAMLBwnawF+ZlsxNj2xGOkpYz1aXDUBahT83KB4syHmjf7m8Gk8+8A8RXnCzv/99PI8sDxkhUPutFjZdlYzpsXhvV2Vts/srbiAVeFN0YVDxbIunwte55ZzPbZ7alSMrSK5u/f+4gc/WnPVOWvvZ7Fq3TptKMJC5MPzyDpLEMRIw9ONtjd5yAPtxRZTXs739EkaeVf9biZqGjoxJixQtP2js4JiHxYthtnCoby2DYcrW3D0+OU0oXc/r8DTy/Pw3INzsfrNApd7rPl9LpraeqBRs8ieHIOZ02KhUbEor2vDDfNSsHZLISwch98snYyG1i63Rt365i4AjMP7qGnowLFT5xSFQQsyTpjr3t7Lx4nJ/9z0OHz8dbXs9waArX+0EkNGXnocenr6YGFZtzVX+hv11V8vsS/rkAi/qz6TBS/9YT5KTrSivtlakTx3mjIl3Nde75EOKczEiEVKUGtUrGg/XjXDQA3pNku+WEDsLedKc3quzEkA78niyjA4aVC+2RALfeN54NN9NS75w4BjnrCKZbH6jpmoa+jE3TfqXRR6KeHgrk1SSKDKoRiJPYJg5S28yzUKSw04XNmMZx+YC93YEHAWDiaTBZz5kgBftRjH69tR5WZDcKj8smB19qgwDDB9cgwYhvGo3ZcvK70SBEEMFWqGwXMPzsXnBXUOtR+c5aS3qUGDES4qpryYLTw2r1qMA6WXc3r1qVr8dKwFTW09aDdeRHhoADY8uhAlJ1olK4GzLIPaBncy+DwiQgMcPhOKXm5etRivProAP1W14HRzFxJjQjFLr8OHu6scIs4+/roaj/32Cvxy8SSHvcRn+2tx3dxkVJ1slx1DSnyEbT8jvI/padHYeim6S4qmth5Ejwl261EVe7/u9lf2xhKh7onUPmTV72aipb0HMVEhONnY6VbJ16hY2SrIgLyc9pWXuL/yX7IK+phgTJ4QpXgsA+H1HsmQwkyMSOQE9Zo7c/FNcb2D4LEX4AO5gNgLA6Vhvfz0eOWtBgLUKK09izhtqOxxKfHWzYZc6JuQB+ywOYiPQHZaDEqOtyJzohZ336iHRsVg2vgxkgq9NwXSwCswXLi5Ru9Fk8s9wTAwnO1B41n5VnH2BgVnj4oQ6lbb0CkpyFffMRNBGhXMfeYBqfTqKaSsEwThC4T1rPp0O9Qsi7yMWNx9kx4t7T22NBZhXVOShxwksjYNZrio8zVYwCWn17kQ5O9vSHfo6+ws9zzJRXZGMJSPjQjC9MkxqDMYccXUcXjkle9gMru+x5c+/AkvPjwfnxfU2j4XZPcd16XLenTzMuJE5bWSsedMjlHkQHB+v6nxEQ55z877K45zLHoqVo16QmwY9BOjoWYZrNzwPVSsNZUqP1OH8919tqre9kU8m9p6MO/SfImhVE77Q7cK59+VfQTeD0cbPcrv94fnGS6QwkyMSOQE9TPbirHu3nwcKG20LQoOub38wC0g9oLUk5weAbeKD8Pgx6oWXJU7wY33Mw4mkwWBga7hxvYUlhoQFqzBXTekw5LN2caycHo8goM14HlrTz9l6rwj7hZqJYYLTxZ7wThwpLoFV0wZJzs25/duH7okGDrEBLngkahr6MS08WNgYVm0dfW6eGL6W+lVKf6grBMEMTKQMkQLhkz7tdldHnJueqxoDq+wNg1luKh9Tq+zsizc252yvmB6AooqmlFyotVFHkm1PhSoazRifnYCNn9SimvmJKGootlFWRYwWzgcqW5BZlo0vimut30uyKfHfnsFXvrwJ9F3GC5S9dtksiAvQzyPmmGArLQYXJ03AYa2bqhVDEwKxYhNFh1ttNVJmZ+dAPA8TH1m2zsSM5bY1zGJHhOM6ZNjUN/ShYKj1j2c2cJh35EG3HFdOvYfbbBV9bYv4hmnDUGKLlx03ryJhBgqw/NA5feTId09pDATIw5PWyLZf26/0AgLiEajQmCgGswlAd0fL529MFCSnyNY0ZUoPhqNCuV1bYjThsqGMa2+YyYC1SzMfZzi0Dfhfdgr7L7aq3gS0iWlDCuZDyEU67e/mIrQYA3+8dUxxd4L5xwvITJArCDZP76qwt036mHhARMPHKluFa3CLedh8QUD1ZaFIIjRiazH+B3HYpJyechC0UWxYpf2a5O90dRk5pCsi0CyLgK8hRvQtcvbUFWx4pnLrp7i0LlBkMFirQ8FknURAM9jad4EnDKcR7ObSLSG1m5cOWO8y15CuOf6++agpqEDJ508umoVK3q9YI3VY/viBz/arpefqcNNCybieH07tn9ZifHjwhAdGQyVRJtK5/fiLIv2FJ+2Ku4iskjMWMLzQNWpdqxaOBHggYKjjbbny8/UIT9Lh4de+lY0fYxlGMzLjgdvES9EZ+J4/G2b7yuyDwTUDmroIIWZGHEoWVDsWyLZY7/QCMLvYKkBtQ1GTIgLQ2ZaDFrbe5Cii3DrpRPzBms0KgSwlysbyim2giUbDKNI8WFZBocrW7Akdzw+/tpandLZ+5k5MRoxUcEw91l9wkpD38Aw0ARqUF7XBpOZx4S4cKg0KrctH3yBEiVSScixhQdix4Zg7ZZC5KbHSr73tRLeC0GBz0iKQlriGHyw26pwOxckU6tYzNbHodZgFK1euXJZju3fch6W/uIuHHLzqsUI1KjIskwQhFs89WxJGWPdtTuyV1B4jrsU9h2H4oom/HC0EQ2tXdZ1UoGi5i2CPFFzvOJIMznv++rfzURmqhZggLz0ODAMXLo52B+fmx4LU58ZSePCLkU7yT9nSnw4SmtaRWVacUUzfjE7CQuy4rFIIoTcGZ7jwTCX9w/BgWrEjg3B05sPOFz7g93HFBlfPW0RJmawSImPQNakGHz/0xk8s+2y59/d92nDR0fw+mOLEKxRgTO7FqLrM3FI0oXhpT/Mxz+/rnZpSdnfiuy+htpBDR2kMBMjjv7kDwkLjZzwW7ksx6Wvn73CZrbwLt7g2fo4cBxsn+VlxGLTE4tRXNkE4/lebHh0IY6eaHWxAPMcBwvDKBI2wnPbK+H23s+ymjakxEcgXhtiC6HWaFQIVLF47sG5eHJjgUPYl/rS5wzD4LufG6zFriaNw9HjrfhsfwsmxIYjP1OHQI0aFpP7oGz7dwTAJ15VT0KOe00WPLf9MMwWTjScOiU+HHnpOmjc5KqbTBao3BQt4zi4KMvAZQH+8h/mo761y62HxVuUbG5/ONqAOG0oJiZEUog2QRCyeOrZkjLGetLD3mzhBzxKxp3sVmrElFMKn9t+2GqgVDG2iDEl4eY8Z/Wk52fGY/uuKkmj9sSEMVizqQCz9dYuEZUnz8FwthuJ48KQlxGHYI0KpktGciFizl3brxRdBB548VtMnRCF5Tfq8fjr+2WNr6zEdbwNIXaOMBP2If/fN8cdzlfyfTpyrAXzM3XgcNmw8XXRadwwLwVltW0oKDEgThuK26+dhknjI229owX8yWNL7aCGDlKYiRGHkgVFLH/IfqGRU1KFFgV/fqsQG59YDDCMTcCmJkQgZ8o4fPDl5WqW+Zk6RIYHOlh+9xSfhkbNOlRzXpCpc7EAeypshOcGJLzLY4JEC1GlJkTgzccX46ShE8UVzZgxdRzSU8aittGI1W8WSPaLfv/LKqy5Mxepugib9dYZF6U2wVo4TGin4a1X1ZOQY7H36BxOPTYiCMEa1raxkEMuZC9Iw2Lf0UbJObNwHBiWcfEEAL4LAVOyua1v6UZNgxEvffgThWgTBCGLN54tsdBaT3rYm82cR55JTxCTgc6yG1CmnCuR00LnBcDzkG+57h1Cxwp7j/HYyCCEBmsQHKhGz0UzQoPUYFk1ek0WJ0O+DsGBKljs9jD23USeujMPn3xfg8NVzbLPdqC0EQumJ8LCcdjndJ2AfoYQ27cny5kyziXsXMn3qa7RiIXZl7uCfF10GvlZOhev9MdfV2PNnbnIz9Q5eJr9zWNL7aCGBlKYiRGJ3IKy5s5cfP5DnUsxj7XL8xCkUYG5JETd5UBPmRCFg2UGx16KxZeFGMfzOFhmkAwXMpk5rH6zwFZoTAxPrfr2z+3sXZ40fgxYHoCYolkMvLPT2gNy2dVTcLDMgDZjL9a/o7Bf9CrxjYuoUmv3jgqONnrtLfAkzEvqPdqHUwcFqJCdqnU5RircWyrHmmVY2TnLSNHiRzcbkP6GgHkSZeGPeVoEMVIZrhXrvfFsiSmGM6aOQ5vxokOBKmeSdRFgGMbWj1eM/qyT7uQSx/M2hUnJ+uhNXqknNTpEFez4CExMGGPLjxbywp3ltFrFYv19+ei+aMZz7xVjyoQojI0MQmGpAdu+qMCTd0h3DUmOC8djt16BbbsqZJ/tVFMXtn1RgZnpsSirbbO9O6GvdF5GLPYUn5Y8X4lCauZ5fPBllUvYuVA8VWitJFYhW7i+YNgQelZL7Weef2geDpYZbK3S/M1jS+2ghgbxjH+CGObYLyj33KTH0rwJuOcmPTY9sRipugjceX365c9v1mPDowtxpqUL+482Aqy8wgNczoEWeinqU7VYkJMAfaoWFs7qhb5xfioyFPZa1mjERbGnVn375777Rj100aGYmhSFh36ZjaQYq0LqrnBLS/sFHLjUz9hs4RSFPB0sMyAoOMD1bzL3Et6RhbvkRfDAIKrRqBRtpoT36o13hGFZWBgG9We7UdvUhfqz3bAwDBjWcdk0mSzo7TXbBKq7e42NDMKZFvdtrdz1i5RD2NxKFXURoizK66zGAnffQ4Ig+oewnuwrMeDdXVXYV2IQXU/8GcEg67yuONTccILnOKh4DguydLjz2qnISIpC3jT5tSk3PRY8z0vKYYYB9KlaBGhUXq1ZSuSS/aP0V04zDDBj6jhoNCqEhAQ4XMdZfkjh/B4XZMXjYq8ZxRXNtjxesaglC8cBYLC3uB5/XZGP7Mkx0KhZZE+OwV9X5OOb4nrcMC/F5XnXv1sEk4UHOA4TEyJlxxanDcHZjgsu707YU6ToIqFRy8+33PML8r6gpBEFRxux7t58/PaaqViSOwHZk2OwKCcRzz4wz+HZnrl/LvIzdQ7XZ1kGfSYOze09mJOlgz5VC+evrNnCoeREKzJStA41TfwN1++DDip+YIvhjXbIw0yMWKQsuJwZ1s+z46GfqMU7Oyuw9dMymzWyqKIZM6fJtx0SvHPX5CdDFx2Kn461uLQyKKttQ3ZatOLwMzG8tepLWa41GhUOlsp7z0trzjqMW1kI3XlYYLXg2hc486RauSfeAl/l0wk4v0eGZdHVa4ZGo8Lx+g6cbj6PCbHhGBsZjIt9ZoQFqiUFk7t7dXb1IS8j1q2Hpb8hYHJRFmJhfP6Up0UQI4mRUrG+P54t+3VdrSCHl+N4pCREAMWO18nP1OHG+akoq21D1alzMJktyJ12Oa3HnQff2y4a3sppobp0TUMHtnxahvHjwjBzWhyCA1Vgec+9gfbPlDQuDJtXLcax0+2oOnVO9JkyUrQ423FBNARZkAVtnRdlu4bkTovFOzvdp7gJEVv21zJbOBRXNuHZB+Zi9ZsFXoUQ28t751SqPpMFJ5uMeP5SfRLnZ7tl0UQEqFhwZgt4BpidGYeDZQabYm3fuUKgobUbt1w5EQnRYei+aAajYgA4FpmT+p4NdgSJP3m+RzqkMBMjHqkF5aLJgj/9t2shi5ITrVh29RTZdk/6VC1ONhoREqTGqjd+EF2oO873oueCCXHaUNH7CyFEc7OsBS2k8DZfRey5WRWLmoZOyXsBVu95bFSwbdxK+kULBgRrARJrESlByMmFSjW19SArLRpjI4NgMnOKvaq+yqcDxN+jSs2ipfkCnt1W7JKz/eQduQiLjwRkNjpy9/rPRRMRHx2Gd2U2IL4IAbPf3BZXNqG20YjYsdY+0c4bBMD/8rQIYqTgaZVgf8aTUGK5a7hVvFUqZKfFOMhhsbDjb4rrbelE48eFueTQOtfH8LaLhrv1UWzNF8YrVl165bIcxEWFQBseqEgRk3qPLICcyTH4+85y0WPGRgYhYVwYHn9NvGjXho+O4MU/zJftGuKJ8VXs3dU1GrFweoLXIcTO8l5QzBkGeOb+ubIVsl98eD5MHA9WxaLqVIet8KfzMwCX23BdMSUG0ZHB2H+0EU1t3YjThmJedjyCNSrwnHhhOI2KhcnCeVUwjhgekMJMjErkrMw8D3y6rwarfzdTcnH9oqAOv712Kv7w0neSC/WrKxfg7U9KsUyk17K9ldyhVYbI4tofq76z8DVZOEkFXiBOG4KS6lbcemncSvpF61O12FNcjz6TxVZEamJ8BGZlxGJJ7vhLxce6XSy6qfERCA3RoLm9BywL9Jg4Re1CfJVP5/weGZaF+dL1nZVlwDq3z75XjI1PXGmtPCrTQ1ruXoB0ERdfFu0QNrfzM3WYn52Al/7xk80T4O59EQTRf7ytEuzv+MKgJxcJFRCgxtESgy1n1V0tjfXvFGH9fXOw9bPL0WJiHnxvumgoWR/F1vybFkx0KZQpjHfDR0ew/r45MPPWiDdPOj44Y7nUo1qMyNAAlBxvlf3+lRxvxZgw15QqwUggPNvmVYtxoLQRp5q6EKcVN76KdSBJ1kWAs1wOIfbU0CLI+6KKZkSGBdgM7xkpWlSeFPesC892pLoFmRO1CNCoXfZzwjFCIdeDZQbMyYxHUIDaxZny8dfVeHp5HsKCNFi90dFTXlF3Dktyx+MZpz3DcIsgIeQhhZkYlbizMheWGpCZqsXmVVbhV9doxPjYMGSlxaClvQd336hHQal0JWSzhcPRE63gGLj0WpYqziG3uHpq1RcTvnOzdDhQaoA+VYvsSTEOgke4jlrFImdyDP7xVZXDuOX6RQsW5tSESIciUm89uQQatUoyDIxlGMyYGosHXvzG5qzdvqtKsYDxxvMu9x6FsMkj1a0YGxEoO7eFpQZcOzvJ7QZKbs4Gs2iHtZUJj1sWTkS5Uz46VdYkiIHDm4JQown7NdS5P65KBVvOanN7j2TYMXA5ncg5HNjZg+9pFw1hfRTCeuUQ1vwrcxKgyZuAn6pbLuUQS493/LgwpCdbO1K4C9mX8j6b+syYnaHDe19UujyTsbsPF3rlOz+caelCr5MsczYSCN7sBdMTsO2LShytbnUxvop1IHG+jjeGFoZlAR6YOW0cThqMNsP7iTMdOGmQ/201nu3G+NhwNLbKf3esKXTW6/7hZXFHyPp3ivD8Q/Mc5pRhIFtEbCgiSIZrYUF/hxRmYsShZLFQYmXmAQSqGMzP1GFhtjVsmud5aMMCwLJAXx+HBTkJLkqnwCnDeSyYngCTmcO0pLHYtGoxisqbkJGqxWMS4VHuFlcli59UvtzxMx1IS4xEYIDKRfD8dKwFrR0XcMvCiWjtuICMFC0Oljn2Kjae78WrKxdc6hd9HrF2FubiimbcOD/VJigtHIeLfRbZwiqv/WkRTpzpQHqy/AZHCl/l09nGdSlscvmNGag50yF77/qWLtkwerF72fe/NJksPglt9ASqrEkQg4836SOjEWe5JYTbbt9VhYNlBtx69RQ0neuRvYZYOLCYB1/W2Pr7PLR1XsTimRNsXtTPf6jD0rwJbg25gsL/3c8NqG0wImFcKJ65f65oCoww3sjQAPS5a5+1yrF9ZUp8xKX+yiz4S3JDzQBPL8/D+nccr6OLDkNosPxWPz4mFD9Wtji+Bymjs4XHoisSsf7dIhdl2Tk82/46ajXrlRIntZ9Rq1j87b45ULGMbD2Q2LEhqGvsRLOb707zuR48uiwHew/Xy3vjLxUEE/YsnvQVH2jltT9RCoR7FCnMTU1N2Lp1K8rLy1FVVYWenh5s374ds2bNcjiur68P7733Hnbs2IGGhgaEhYVBr9fjwQcfRGZmpu24wsJCfPrppzhy5AiampoQGRmJrKwsPPzww5gyZYrDNW+//XYUFRW5jOm6667Dq6++6vBZd3c3Xn31VezevRtGoxFpaWl48MEHsWTJEsUvhBi+eLJY9Kf5O8OyMFt4qFSQLRyREh+BBdnx1lBok8Vmef7u5wavFlelVkOpfLmYMcGIHRuKJ153zblef18+woID8NOxZpxuOo8ZU8fZnunPbxXi2QfmIl4bisa2bhRXtCAiNMBmYVaxroIyI0Vrq7It9ZyHygzgwSja4EjhK6XTPmzS0NqFCbHhssdPiA1TLPzcfS8H0wI82Eo6QYx2+iNrRhPOcovnHaOzjh4/q7iWhjNiLZ2kjIfv7apAx/leREUEOXhRD5U3yRpy5RQ75xxZ+/EmjgtDUUWTrKx0aV8Jq/f58dtmgGGAFF0E1ACSYqzP9N2RM2hq60GcNgTzsxPQ0dUrm1I1NysBAWoVdNGhmDF1HDJStADPw9Tn6pmWfHcZcWAZBp3nexEWrLG9T42KgcnC4UBJk1dKnFz+/9NbDuDNxxe7L0i2uwpZbr47qfERaO24gDOt8h0szrR0O+xZPOkrPpAoKSxI9A9FCvOpU6fwxRdfID09HbNnz8bevXtFj/vLX/6CHTt2YMWKFZg9ezba29uxZcsW3Hrrrfjkk0+QlpYGAPjoo4/Q0dGBO++8ExMnTsTZs2exdetW/PKXv8T777+P6dOnO1w3OTkZzz//vMNnUVFRLvd/6KGHUFFRgcceewyJiYn45JNP8NBDD2Hz5s1YuHChkkcl/BA5RVH4m4WHopAme7wJ6VUqFNUqFjOnxaKnp8/hfJ7nUdvgWXje/8/em8dHUWb7/5+q6s7aWaDJHhISAmTpJERIQlhlyQjqiN473+/ouCEKDm6DMwqIcu/9DY466h0YFxBFXEZnud+5I4gLDtsIYiRBIWQ1kAQISWchZCEJSbq76vdHU0UvtXWnk3SS5/16zWukU11dVU/3c55znnM+x5VAgFS9HEUBN0wLF00byk6NwKWOXjz3lnPq9Ib7ZuKh2wygOQ69V/uh1/nisZ9lCiJSmVPDROuYxof44Xyj/H1ebOlGTmoEfqhsEq6RFwdzRQAMGFg9HV8vx6dNfv5tLbY9vRh/+rJS0gjPMkSjt9ekeG5X1XGHKpVqrC/OCYShxF3hxrGClN3ibcrmh/Nwpq4NGUlh+Nv+KlWp1LaI7eA7Bg8pisLhk/X4prjB6f2AciBXqVUVXyNru/tqSNQjNkyHgyekd0gBCO0rHc/7ykffY/PDeXjklcN4doW1b3JHRy+SJ41DfXMXOrv6cLS4HjX1HZIlVRvunwk/LY15mdHITYtEYXkjPviiQnadoWEo+NAUFmbFgLMJvAL2wVizhcO5xituq8Mr1f+bzCzOGTtEd9Ztd7xLa1sFTRap787MlAj4aGhVGi+2QRk1oqhDkUGiRliQMDBUOczZ2dkoKCgAABw4cEDUYTaZTNi7dy9uvfVWPPnkk8LrBoMB+fn5+PLLL/H4448DsDrWer3e7v1z587F4sWL8e677+L111+3+5ufn5+TE+3I119/jW+//RZvvPEG8vPzAQCzZs1CXV0dXnrpJeIwj0DkHEUAdn+7fcFkl1VI3UlRVWMUT1Q04dkHxBdBatLzEqKDwTA0tFoGZgvnksMlVS8nlTbE92+Uqr956cMT2L5uESiOFZ4ZA2BeRjTmTY/Bqx+Li0h1dPUjO1W5NVekPgBlta12ImiNrd0uCYCpxdEZ5b9f35UY0dfPIi7SGoFlWeDbkno8c382XvygyMkIb1yRDR+GAitfFgZAvTouSaUiEEYvpBxCHrk6b76N0P03pyJ8nL+ic+SqoCH/uq+vxu1ac1dbVfHXq9XQ4MC57KQ5nnda3DghdfuZ7ccwMyUCt81LRGdPPwrLGu0CD1Yb2yOkm9fWdyB5YijO1itvOCityWyfJwBYKGpA6vBq6v+Lyptw/7Jka8lbeSPONXQiOiwQyfHj7QL5nx6twVN334BXP/5BOmhl4TA3M9qloIwaUdTBziBRKyy4LC+eZJMNAFUOM02LNxx3PIaiKAQF2acy6nTWRaiPz/XomKOzDADBwcGIj49HY2OjmktyYv/+/QgKCrJLv6YoCnfccQc2bdqEs2fPCjvcBO9HdmfOQanQkKhHQal7KqSupKiqmZTO1LXhnWeWgLOIN5BXk56XnhSGnXvLkRAdjOzUSJcMjpRDLpU25E79DUXTqG7oxP7CC8jPjRMVkcrPjUP0hEBZIzI7PQof7avELIO4CJqSAJja3VhxAbRo9Jks2Pa/p3H6rHUh8sKaOcL1fvhFJe67ORlvPLUQx8uMqGvuQlyEDnmGaGgZSlH8hb8+Veq4mdGodjE7gkAgjCxIOYQ0SoFkjrOWP1lMFiHt2DEduONKH4rKm4T3UBSQkRSGlT9Ns3Y0uJZeLGU3BlJrrsaxa7rcg/lZMZiZEn6tD7MGWobC0VMNMCTqFbtQiO2cA9frts0WFt+WNGBa3DghyHDrnATEXkvFdexfzKebr1puwFWTQg31ukXQiNSYpyXoceZiO26dkwC9zrk9llS2G59JVl3fjrT4cQPSmpkUFQyO5cCwLOanRyF/5kScPNOCjduPCb8tPiDf2tGLV56Yh9NnW3CxqQvxUcHITYuEBteDVv5aRj4bhKHB0NfHiuOAz76plQywD0UGiVphQWqMZ7IMFI+JfjEMg3vuuQd//etfMXv2bCEl+5VXXsGECRNw++23y77/8uXLOHPmDG655Ranv9XW1iI7Oxvd3d2IjY3F7bffjlWrVkGr1QrHnDlzBklJSU7OPV8TXVVV5ZbDTFFASIi/y+8bi2g0VtfNE8+rvatfegK/1j6CVypUW0Ny8+xJA0qLoWkKtQqKjHVNXQjR+ch+jtnCYtPKXGzedVw0Sv7nrypRcE3NuqfPLOtwFVU0Yums61FDigIW3BCLwvImnD7bIrwulTbkzrOzHRuW45yi1vMyY/DBF+UAIJkG9tzKHLAccKKiCb9dnSerMPnWhkUYZ/OdMltYdF0142iJETUNnUiMDkZuWhR0/hpoGNrpHJXn24VnnZcehcSYEOwvuoDG1m5MnzIBd+ZPxadHa5yUwD/8ohIf7avET+dOxv9ZNAV9JjNomoK/nwYaxrkFhyNqvi/njJ1YcE1ARer+d2xYjFAvmIM8+fsmeD9kvMcWwz3eswxRsoHkXEMkAgKuz7vL8uLtHIBxQb7Y9Vw+vimuBzggY0oYis+2YO83NUi8JpLFUDSOljRI2g1Xr4GHooDEmGCgSPr+oicEQquhMS1+PL767hz2fXce//3EfNQaO1Fa04qn75mBVz763slWrr9vpujOOY/t7nNdU5dQX8txwGfHavHCmjmyXTHmTo/BNwq6KkUVjZibGSPYKceMsJNVLbjxhlgE63yFZylm/xzf19jajSkTx0Fn8z5H3BmTpNhxglPr2JWEd9gnhPojJX4cggO0Tp+dMmkcdmxYjOPljait70CCzXcFAHZsWIxjp+vt2mtVnGu1WwvFR+owJyNGdF3iadR8/xKig0HTNGiazOlSKOm4elQle/369dDpdHj88cfBXnNm4uLi8OGHHyIiIkLyfRzHYdOmTWBZFg8++KDd32bMmIGbb74ZiYmJ6OnpwYEDB/Daa6+hrKwMb775pnBce3s7Jk2a5HTukJAQ4e+EkQFFAcfL5HfmSqovwZCgBwdgYrgOYeMDcOhEnaRRSYgOHnBkjeM4JKpIp1b6HA1DIzk+1Dohl1l3PSdFB2NyTCj2HKkWUojUOLO1DdaooclsQddVM46XWZ3I7JRw3PWTacL5ympbcc+yFKcotpr6m4kROlzpMcFXS0OroXG8zIjk+HEYH+KHyx29ePatY0iddD1qDQBXuvsFFUlbIzI5xt7wvPtsPv71g7wq5XclRtw0Kx40RTk5wDy79pZj08pcJMeH2hmnrqtmO2dZbCebD1QcK24QWpicqWtDXVMXwsdbjeH7n5cLtelinyOG2u9LWc0leXG0MqNdUIRAIBBGGzp/jWQgedODuQjy19odz3FwsnuJ0cHIM0TjQlOnU//jXXvLsfauLJRUtwo21tFuuHoNtteSmxYlKz6VMmk8/uPtAvx2dR4+O1YLjgPe3VuGnLQIvLO7FLHhOmxZOx/flTXapUwH+Grsds4dz2u7+zwxXGd37CxDlGhXDL6zxX88mAudv1ZRV6W2oRPRYTpYWBY/XzIVN6SE48/7frQLyv9tfxU2PZiLlPhQMDTtZP+k7O9H+36UtanujAn/nuffO+5UcsZxENYm3xQ3WAPSDj2oNQyNUJ0PlubGXeuGwQGwBmc4Dhgf7AsLC0SM8wc4Dh9/VYkyG9XsccF+YFnrcUOhfq/m+5eTFjno1zHa8ajDvGPHDuzcuRNPPvkkpk+fjra2Nrz77rt46KGH8Kc//QmxsbGi73v55Zdx4MABvPjii5g8ebLd39auXWv374ULF2LChAl46623cOLECcycOVP4m1ybF7UtYBzhOKCj46pb7x1r8FGrgT4vX1+N4gTu76vBytsMOFHZhMbWbvj7afDiI3PtHE4eXtChvX3g45idEiE7KbnyORSAeelRWHRDLE6dvYRntn1j5xSpFZPo6u4XTenlRbvSE62BhbBQ5/ovKUfa9hxTJo7Dg7/bj2dX5CApNhgpCXp095rR2NptZ4CPnqoHAERNCMSEUOt3gU8Ds6bGpWK8zhemfjO6u67XjV1olFelrDVeQW+fBaY+EywU5WQ4AatjuXnXcWuK+rV6a62WwXfXUvWVarX5+vON248J9XKJMSE4VtxgV6Mt9jlyKH1fZiRH4P8dPCN//w2duHrVhD6FXpqDjad+34SRARnvsYU3jHdcWKBknXd3V5/dsWJlW9adtlBs3qVOfEtsPnflGmyhaVoylXftXVn47Jta/OpO+zrr02dbsGq5ARqGxt8PncEN08JRWt1q14ViliFKMlPLtm5bw9DITYvER/uszjPvoIp1xeDFPP19GXT1mDAxUl5BeWKEDhqawgtr5qC6vh3//O48DJP1QnZWQYnVzm5+9zi2PrkAvloaGooS7J+FZWXtr5JNdWdM4sIC8c4zS3Dk1EX5gHypUVLIjS/nKixvsqvZ9tUyyE6JQEGp0boOmhKGu2+y75SSHD8OXV19QyawKff9e25lDhgOMF8rJSNzujh6vU52l9ljDnN1dTW2bNmCZ555Bvfff7/w+uzZs7Fw4UK8+eabePHFF53et2XLFuzatQvPPvss/u3f/k3VZ91+++146623cOrUKcFhDg0NFd1F7ujoAHB9p5ng/SjVreSlRyFifACefv2oqAEBrqtrerqGxJNqp3wtFQCcqGh22kFUKybRa7Lgk6+rMTsjyi7lihftemv9IvgyFEwi9V9xkUHw99VIpoPxBtlkZrG/8AJAxUkKrgDW554QHYzZ6dGYZYjElR4TggK0mBwTCg0FpzYVLMspphLxwmAZiXocPimdOmZhWVTXt2N60gSYTBa7uh41tdq2oiwUBRwrbhAi0Y7Hqm17Jfd9WXtXFg59X4cEhfsnPVoJBMJYwJU6bzFBxbQEPUqq5TN2bOd5/jXb+dzdWnNbYbeiCmsLpYkROmQkheFicxdunZvg1E2C44DTZ1qwaWUONu8qxKdHa5CfG2fnHBeUGEFTFF5/6kac/LEZtQ2dQuYTfz7ennxb0oBf3ZmFP/71pKKY59vPLMaZix14ftdx/HZ1nuw6Y0ZKJJpau/HCTvEyMv46zRYWBaVGlFa34o4FkzEpMgjPPZCDT76uHlCvYnfGhGNZ+GhpxYC8lJCblI5Oee1lLM6eiBfed65X5p9FUXnTkLeKI8KCg4/HHObKykpwHAeDwWD3elBQEOLj41FdXe30nj/+8Y9466238PTTT+O+++5T/Vl8urdtvXJSUhL++c9/gmVZu9erqqoAAFOnTnXpfgjDh5wwFkUBy+dPxnNvfSsZQd765AK7PoCenCw8MSk5ilAlxgTj9gWT0d1rEkQ5+HRnx7paHt5B99My6OwxwTBZ77Tjyxuw42VWQ8Rfv53h4YBek3UH9tUn5qH4mhhG9IRAJE+6rjJJUcCtcxMUd2hPVDQhNy0SJrMFlzt7hTS5yeLJJdfGOlKxj+KhE3XImhImKWzB10b9eP4ydlY0WyPBaZHITYvAgaILqtLbefEUDUMjY0oY3v+8XPJYtX0VNQyFfrNFVJ3006M1+K7UiNd/s3BYFTYJBALBm1Ca76QEpdTO8xlJEwQbW1bbKjqfuzPnCl0k0qOwIDMaGg2N8vPt2Fdwzq522O49sPZR3r5uEarr2+Hno7FTfLZdX8xLj8KC6TEwWTgcO90Anb8WK3+aiikTxwm2Oi89Cq8+MQ+nqlpkg8vdvSZsftfqAMutM55ZkQ2GgpODCFy3/S8/PlfYtW9s7UFwoI8gFhYfrsNTv7gB738hbU8BdTbV1TEZiJCbWEBGzTro+V/Oxk2z4oelVRwRFhxcPOYwh4dbW8iUlJRgxowZwuvt7e04d+4cZs+ebXf8G2+8gW3btuFXv/oVHnroIZc+a8+ePQCAzMxM4bX8/Hz8/e9/x6FDh7BkyRLh9d27dyMhIYEoZI8wpHbmMpLCcKauTTZSefpsCx68NRUmk0WYLDzZ33Ygk5Jo1LLIapievmcG7lwyFYUVTYLza0jUo/L8ZWxbtwhFDg66lrGKajimnzlGfc8ZO7F4Rqzd/ZtMFuGZ+GkopEwMhY+PBnVB/qi+2IHvK5vx4ZcVwj2p3aH9w9r5qGvuctqF3rXXqvg8KTLISWHaR2NNEXvpwxOSO9yGRD0sFlbU+EnVRr33WTmefSAHczKiVaW3R+oDUFrdiqfuvgEtbT2y45kQrW7Xl6YpFJY14eCJC07qpEJans0Ow3AobBIIBMJw4K5dllIFVprn89KjsHx+Ik5UNEGroYUA85Wefo9m8fD30tcHxIYFovJ8m5M94VW8502PsW41g7MGmeutQfSc1EgsyIwGZ7O+MLEAHPodm1gOq148CJP5+o60j4aGRiOtsZGWoMeJiia7XWzAXm8kLkIHw+QJKCpvQuOlblnbX1bTiv+7eCr+dqBKECGz3TUGy2JyTAgOFkn3m1ZrU11BTVcSsYC0VEBGzTqour4d8zOinbLphhISYB8cVDvM+/btA2B1iAGgqKgIbW1t8Pf3x4IFC3DDDTcgLS0NW7duRU9PD7KystDW1oadO3fi6tWruPfee4Vz7dq1C6+//joWLlyI2bNn49SpU8LffHx8kJqaCgA4ceIE3n77bfzkJz9BTEwMenp6cPDgQfzjH//A0qVL7RzzBQsWIDc3F88++yza29sRGxuL3bt34/vvv8e2bdsG9JAIQ4/UTu786TH44IsK2ffWNnTCksna9dodjP627kxKcn15X/noezz/y9l2zpRt319HB91koRRrtQDrjvyhHy6ipp6//0jQNHDE4ZkwGg5BAVonJU1AXeS++XIP/H00Ts4yf03Pv1eI15+6EX6MfW9lc78Zk2NC8MbTC3G81NrCaWK4DrlpUfi2pB5F5U144NZU9PaanIyfUm3y794rxGu/uRFrt/xLMb09Ny0S6ZMnwMxaEBYSIHvszJRIVePPR7hthUYcsd1hIKlUBAJhtDNQuyy1cyhXxsQHVn+99YhzYPKBHJgt7jlrSk6/WPDf6rhPxpm6Nhw9VY+I8QH2AeOi60Hm+HDx+mLbNo/PrrA/f6tC4GB8iB8uNtunKju2nbKwwO6vq0FR1pZecpwzXsG/L5yMf/zrrJ0IGb9r3NdnVtTzSE8KQ6+ZhYamPWrz3CmjkwrIqOoq0tCJGzOVs88IIw+KU7l1wbdnciQmJgaHDh0CAHR2duLtt9/GgQMHYDQaERQUhJSUFDzyyCPIysoS3nPvvfeisLBQ8Xznz5/H7373O1RWVqKtrQ00TSMhIQG333477r33XjCMfcvzrq4u/OEPf8BXX32Fzs5OJCUl4dFHH7XbcXYVluXQ2ipfA0GwMhDREDmjY/s3wOrovbOnVPJcq5YbMD8jCmYLJ1qDwhvIoe5vq9Uyitd+99JkFFe12DlXGoZ2EsRQc64Hbk1FYmwI/r93xOuOjhU3CClcvPE+b7yCCL19fRQAGBL1yJwaho/3ifeCBIAN983E5c5evL1b/v7ys+PAmq5HXymaxvmWLvzuvUJMixuHccF+aOvsxY8X2vCrO7MQFuqHCSH+oK/NVLZjqua67r85BTckh6OuqQtaDS1aq73h/mz4aChoNQxOVbUgLjIIHCAptOKjoZEyMVSV02yhKKx5+bDkQmHbuoXQXJuGPZkJ4Wm8QRSIMHSQ8R5bDNV4S9WGumqXpeZV3jG2nbspCnjxkbmipVz8Z29ftwh+Gkr1/EvRNMwAaurb0dFlQnCgFpNjQkSdfmuAACgsbwQFIPyag2xhWbywZo5owNf2upQEJm3Pzwdcs1Mj8cjLh0TPmzklDNmp4di5p0zynPxaBABmpoTj/c+lNyruXpqMsHH+0If44Ytj54R1A78W4zcvpMadX48UlTcNytpM7PnIBaSl1ldq1hu29+xtkDldHr1eJ+gKiaHaYR6rEIdZPe78GKVUCOUizWodEKXj1CodewpfXw3e+6ISB4ouSB6zODsO/SaLoDjNYzsJa7UMfHw0eOfTMtlz5efEIT4yGDs/dXZgNQyNzQ/n4dOjNU6LC/7vtk61VkPjtd/ciMdf/Zfk89z1XD4+/KJC8f7mTY/G5MggwaAojdPLj8/F+je+wbMrrkfbeePno2VQef6ybKrX4uw4a011Ry9mpkQgOy0Cx0sbUd/SjUh9AGZnRKHmYge++u48ggJ9cO+yFPzv4TPo6TXb9Iy0rz3W+WuxYlmynXK1lLMru0BcmYP4sIEvDobC0SbGdmxBxntsMVTj7Sm7LDevvvToHITofPFdqRHnG6/AMFmPrh4TdkoEmPPSo3D3Tck4fbbFJhNLeh1Caxhc6uiFmeVQUn0Jja3diNQHIn3yBGhoCvogX0lHrM/C4Ze/P6Q64OuKA2ZrB+Q2DNbelYXoCYFOCtq2x/BdIwDg9d8sdGrT5XjsoRN1iIsMwruflgmvO46l4LhWNKKmvtPOptoKtQ7W2swVOyn2PaUoKAY4bAPg3gaZ0+VRcpg92laKQHAFKYP33mflslFGNSk2Gg0tWoPC44rSsRrUTMRqBCj4+h9Hzhk7sWB6NCw0je9KjOjrZxGn0AoifHwA0pP0oCg41U/xNcd35k/Fb/541Ok58Wndrz4xD4ZEvVAzLffcKU5Z8TomLBBmCwutDyM4/0rj9H1lM6bFjcPv3i/EO88sgZYGNCyH+RlR0GoZmMwWWYeZf6alNa0orWlFXXMXIsb5o99kQWl1K+ZPj0Hj5R7Muqa+vuOTEhgm6/Hxvkq7FDXb2uNVyw1CxoNYeuGcjChoGRqsxVoaMFjqlYNZckAgEAg8ngjKqZnv1dplSQHOtEh0XOnDIy8fwv9ZPAVTJoai5XIPGi/3iJ6H35F2dAil1iEUTcNk4dDY1iMZaB4X7AepZffxskbhPapSfFWIYdmOjW0Q11a1u6ahExE26toAVLer8vfTKOqMJMaE4Hhpo93rHV19dsEDjmXhp2WgD/ZD5bk2Jz0PwHNrM7HvqyvnE1tnchzw2Te12LgiW1QlWyzF25uzxgiuQRxmwrAhV8/LKywyIu8Ta9+QEB2M7JTrDgit1UgqKvOoVTqWwxWHRY0AhW39jy05qRE429Ap1AdbVa3ny9bZGhL1KCxvsmuhYUvT5R40tvbILl7Ka1uxMCsGvb0mMBSDpJhgvLV+EY6XWRcots/d1G9GtoLi9cyUCOw5Uo3myz3ITomAL0MrjlNjaw9mpkTg7qXJOHLqIi40dgnP2Wzh7Ho92iqMl9W2gqGdnynvQFeeb8OmlTk439iJ01UtWHmbAU+/fhQWlsWd+VOFZ+v47GyFQhyDPnnpUUiMCcH+ojo0tnZjckwIslMioAHAcKxH1SvdDTgRCASCWjwZlJOqDbXFFbssJsDZa2axYdsxqwDomUvInBqGzu5+xIrUAitpYIitQyiGwtUek5Ojyb+H79QR4q9xcpAc71+NGKVcW0GNjwb9ZhZHS4yiO+O2qt3zMmPw6p9/cHJQNz+ch8rzl9HQ0i3aruq5lTmgrwX7n//l7Gs76vYZV0XlTbjrJ9PQ2NojiJXyrzs+P5qmcKKiGUdP1YOi4GSzOW5gazNPfV/FAjIzksORlqAHx3GKAXASzB59EIeZMCx4JtLMYfy1NkDBgT6wyidZ47oDaSegFnccFqW+vHxU1xathkZ8VDAesUkP4jigtPqSYv/kAD8txgX7Sdx/EOpb5MsNahs6MT8zGhaKctpBvWlWPGgKaG+/el2kDMBzK3MkezX/5Z8/oqDEiINFddi1txwvPTpHcVc6a2oYNAwlqoL93AM5SIgKxguPzAbLQkiPy5wahnuWpYCmrc/JVkRtZkoEAnw1+NXPs6ChrIEbmqFxovK6aqhSOy8+imwb9BFT6+bvk/8+eDLC7G7AyRsgUXcCwfvxdFBOjV12Ry2Zn0O0WgaF5dfn8aBAH8zLjMHR4npMnxqOj/f9aHcfalSPbdchWi2Dpo5exV7PJyoasTQ33mluc7x/OZEyQFrFmaJpsBRQVdfutOsrNjbW4C6HOxZMRpnN/RaUGHGiogkvPjIHN+XEo9/MCu2qVi032DmBNE2jt8+M0upWBAf6CLvDDG217UdP1aPfZHHaNXZcx/HPgG8FaS15sm+J6e7azJXvqxobJAQcMqORmxaJwvJGfPBFheD8zs+MFg2Ak2D26ITUMCtAapitqJlcXKmPUFPPm58ThxXLksGynN1nqxUNcUVsyR3crcUSFaC4lkbGR8Ztz/PSo3NQUn0JHziIbhgS9ViaNwn6ED/ROtuCEqOoiJhw3sfmovJcq6zwx8YV2fDRMqIO8KaVuUiOD0V3V5/de7S+Gly5asax0w1obO1BQnQQkmLHYc+RaqFOSThWQ+PNpxdJipNoNTRe/81CPPaq9HN++5nFqL7Ygd//yTld7Ol7ZiByfADWbv0aDE1j08ocTI4OFlp18OPR2WvGp0er7VK77Q16DyaGB2JuZgwYWA2pVsvgaIkRb+8uVVXb5Mm6LDWib54WH/FE/ZM7mgWE4YHUu40txMZ7MHRAlM75+m9uhJ/GPaVk23WFo/iXmBjY/KwYaDW0bEkPvw7p6zPD11eDigvtKCg1oqm1x2lnlGdJThxW35ZmXa9cC67y6xfH+xe7Lv5ZiGlc8OsfP1+NooiZ49g4rj0SooORmxYFmuNUOZJi709J0ON/DlQ52Xax58fDMTQqzrdJpoOnxI8DJRGQkEPN95UPkqu1Qe6I1Hmbfg4PmdPlUaphlteKJ4x5KJqGhaJw5LQR731RiSOnjbBQFCh6YF8dNZHm7NQI9JhYp882c8AnX1djdkYUDInWGl3g+s6amd9NvLabq2Hsr9V2l9BdHCPZjvCRaa3WeY+PY1khPXfFsmTMz4gCw7LQB/li+7pFWLXcgPycOKxabsBb6xeBoiinFhCANTqtD/HDf7xdgOKqFiG6u3H7MSGdak5GNH680OZ0/0/fMwP/e+gMMpLCnJ6PcI8aGpOiQiTbRG3edRxdV83Qahn4+mqu3yvL4WLzFeSkRmBJ9kSE6HzxzLZvRA2qyczinLEDz60UH6f/eCgXBSUNks/ZwrLo7jU5Ocv8Nb7y0fegGQrr752J7esWIS5Mh/4+s7Bb4OurgYahMF7ng8SYELv3F5QYsXH7MeHZRuoD4ctYjSpF0wBNo7q+A4D6nQqx74M7qE1ttJ38ncZpiNH6aNDZa8Ybfz+NnZ+W4kDRBbyzpxRrXj6M881dA55TCISRyHD/LqUYiI2zPYfjvcnZ5bV3ZeGjfZWCDXcVfl3Bp1rbOmQFJUYcK27A5ofzrN0acuIwJyPKad53xHa3k2U5BPhpcMeCJGRODRN6Ob+wZg7y0qMAWB3g2+dPxoETdVbn/fs6NHf2of5yD7S+Wvj7auzun7+u5385Gw/elibY/u3rFokKQpo5Dp98Xa24y11U0Qg/P63d645rj6Wz4hGq87H7DJPJgr5rNtIR4f2Z0bh1bgKaLl/FiYomSWfZ8fnxsKxzBwr+urf+5STcSfxT832tNXbgfEsX1rx8GO/sUWeDlDK5HL+raq6jqMJzawHC0EFSsgmSDGZaiVI975yMaPhoGKz5vf3OY2dPP+ZmxsAwWe+UxlNQYnRKoRossSVP1GI5GiSxeiyapnC2rQeTopyDCxxnTR3+1Z3Swh3flTbgt6vzUFrTiubLPYieEIiUBD38fRh8V2qEIVEvKWDx4iNzcKKiUXbi/67MCH2wH05UNAuRWsrCISEqGI+8chj/d/EUNF7uka3VLSpvwv3Lku1q0vlaqrMX23FRJm08LUGPExXyxun7iibcnDcJXV194Djp2qKclEi851B/zfdP1jA07l2WbJfh8MnX1TBM1gPwnHiLWlwpORjuWqrrn9+AmvoOGCbrcWf+VLvfrLenkBMInma4f5dKDMTGyd2bhqHQb7Zg88N5kplRqQnj3cqO4dcVheVNogFM217D/75oCqbFhqC7z+w07/M4pkSbLRz6TayTQBhvb6dMDEH4+EC7v+elR2Fq3HicqWvH/sILmBQVjFmGKOzYsBjflRqFdYk+2A8x02NAU5DUuOBL2UJ0Por2pqahE1ETdIgNC3T6TvH34+hQq6XXZMFv/nhUaIvlSkq5qnK8MtdFv5S+rxQFhI8LwFOviYucitkgd0oH1fxuaho6MS8zBhTNecVvnaAO4jATJBnsGkmpel6thsY9y5KdWhjlpUchMToET0oYK8BqEG2NuJgTOlCxJWBwa6QdjUtseBBCg/xEjVJBiRE0ReGNpxbiaHE9mi/3OAl38MIaE0L9cUNyOJ7c+jXu+kky0hKsu/NTJ4bYBRWsi5tIBPprsa/gvOy11tR3ovJcm9AGiw+mTIoMwrMrcuycSsnnFB0MjrOKYs1Lj8KiGRPBchxOn70Ei4VDfGSQ5HvHh/iJ7r7bcrGl207RWioI9NIjcyTrr8Xqlm3FwQYq3uIqagTksq+Jog1nLZVS700AooEuAmE0MxJqHN21cUr3lhQTjMKyJhw8cUG0AwEwsOCihqKw8qdp+PRotejf+SBo1IRATI0JVtV1g69clFsTbf3LSbzx9EI8/qpzurVj6vQHn1fguQdyMM+hBtbULz/mvDOmxt5EjA/A/x46g8rzbR79Tjk6kWr1PhzvQQ53xl/p+5qWoMfpsy0ed34dr1XN7yZifABe/fMPuGPBZK/4rbvKWNUgITlwBFE8kY6lhK0KoW0a8jvPLMHJH5vtPptPsXIUuOKvZetfTuK2eYmgKHEjLpdm5Ap8ihlgVa6WSmeWEutwh+KzLdhzpBpr78oSTWNbOCMWH3xRjs6uPsxMibBLywauLxD+9cNFFJY3IXWSHo2tPZgQ6o+ZKZHo7zULaVb3LUvB+GA//HV/FU6fbUFCjPzEH6kPQFtnr/BvPphisnCID9fhsZ9lIs8QJfucEqNDUN3QCVrDoNfM4uAJq1DW5c5ezM2MRl56tOT7O7r6VYnICDsEMgueDduOYWJ4kNP30TY1zvZ3we/wr70rCz9eaIMhUe+R74PaFE01JQeuppN5GtvggiFRj/lZMTAk6mFh7X+zgHMKOYEwWhnu36Ua+KCcq3Oa0r31mlgkXAuSlta04uipepTW2NcADyS4yLGsaImNI/xnSK1DHFOitVoGRQrZTIVlRkyLGwcAomnhjs+iz8SqWpfwNoGiKCREB6OstlXR3hgS9SirbfX4d8rRiXRMdV+cHYcVt6TgrfXiKeWDtdmg9H2dMM4fFxrlg+uONsida1XzuzEkWp13b/mtq2WwSjRHCmPjLgku406NpDuI1fNqGQo19fafraZGtLSmFRlJYR5zVG0RmygACi89MmdQaqR5aIZGbX2HnVG67+YULMmOw303p+D5X+YhOkyHovImdHT3o7C80WnxYUtjaw/GBfshUh+AxTkTcc7YAa2WAUXTqG7oxAPP78dLH57AgaILeOnDE5gcE6rKKNvCB1M0DAWGYxEcoMUmiRplXs37QNEFnGu6Yldb9PbuUvzy94fQcaVPssY5PzcOqQnyC4eclEihZlkpCPRdqRF+Gsq+vpxjBaMvtVj47eo8tHb04ul7Zrj9fXDVGCkt9DQMNehBLzn4552dGoEX1sxxqvnLTo1AaU0r0hKsGQie3IEnELyVoQhGewpXdUDU3NvxskbMyZAPomanRgCA27Xdpn4zclLUO/uiuiI2876jZoUUF5q6hK4UatYsRRWNCAjwkbxHR5tw+GQ9slMjwdC0EKyVs6v8OkDpO+VKHb2YEymn9+GIu4EYNch9X2+dk2DtyCGDO85vTlqkS9dhOzbe9FtXgs8ccaX+e7RBUrIJogxFWyZbbBWLWzt6EKEPsPu7mhrRxtYerPxpqlMK0ECRTTFbmeNUi+SJGmkek4VFhD7Q7rXxIX4I9NfC14cBxwGd3VaH8pN/Kac/R+oDUFrdinmZ0fjgiwro/LVIix8Hs5l1uj+Og7CzLVUjLdYGC7BPUzL3m5EQFYytTy5AQanRqWYNAO5ZmiKqhM3v/O7YsFioca5p6ETEePv3y6WEaSjrvbiSXmWr6GmL1GKBr4ubmRKB135zI05VNaO2Qf33wd0UTbmSg6HqRS4FH0xzbLUFXP/+tF/pw7hrreEGI9BFIHgbg5WSOhiI9aKVm9NU31tWjGQa9EuPzgEFq5M4kNpuV1KtecTmHzHNCiniInQoLGsCoG7NUtPQCQ3TAJOZtavxpmkKFs76d8frL6+9LOiOALCrBZ8UFYS0RD3+38EzTkJcYt8ps4VF11UzvitV/6ylyoHE9D6kcGds1KD0fc1OicAulfXqaq51w/0zUVjWCABO/a/jw3V4a/0ifFNcj7rmbqc6fR5v+a0rMZLbWHoK4jATRFFbI+npBa6Z4/DMtmP47eo8u5pdNTU7iTHBGK/zhanf3tkZaL2F7ESxyzpReLpGmr/uI6etwlxzMqKRlxEl6ng8tzIHkyKC8NjPMtFnsuBv+6skx8yQqMfEcB0++KICBSVGrFpuAEVJ70TyE/uWtfNRVNGE+pZuxIQFIjs1An/+6kdJdUzHYApDAbu/rkZja7ddzdosQxRunjMJR4vrFXd+52dEYV56FOZlxuDVP/9gV/MGXF84NF/uQUJ0MLJT7Bd1ts4uX9ft2BZEKQiktFioPN+G2deuc0Gm+u/DQI2R6EKPojA3MxqNrd1ObU94BnNXl2U5ZE4JcxLIAa6XUWxZOx8nypsGtEgiEEYSQx2MHiiu6ICovjeLuGMzyxCFuuYr2PDmMZcCh1LXLfYZuWmR8NPS1taCKk4lplkhZV9nGaLwpy8rAahbs0yKCkJrRy/+dqBKCMD3mywoLGvC7Qsmi9qEY6cbAEC4r0Mn6jAzJRyLZ07EyaoW7P66Gle6+0FdCxRf/yz775TWR4Omy1fx7t4ynD7bIhyr5lmrcXg1Glpy3eVqIMYV5L6vGppWpVOidK1xkUGYMtG+Vabjc+NYFr5aBpH6QFTXdzrV6fN4029dCnfEz0Yjo38PneA2g9mWSQw+nctkZp3SjdTU7GSnRNg5y1ofDbS+WpSdb3O73kJt+hwAj9RI28JH6z89WoO7lyZL10LtstYMK6U/r79vJgJ8Nfj6ZL3Qdio7NQIcx8nuChSUGLH7SA3MZhb9Jgt++LEZFguHovIm0ePFUur4hZRtzRpgrfE6WFSnSmGapimYTBaYTRbcsWAyGJtxLCgx4j/eLkDW1DCsuDkF89LtU+qA687unIxouxThJblxePPphbgzf5qqIJDc72LD/TPB0BTMFk7198HTKZp8Gt/hk/X4prjBqe2J7fUO9q5usYLIyumzl7D2zizRWjcCYTQymCmpg4kaHRBX7k0sDZplWck2hu7Ue9p9xs0pmJMRheNljXhf5XpASrNCak3kw9B49pptULNmmRwTiomRQchLjxJseVxEMMYF+6KgVNpBOXa6AYXljViYFYMVy5KREj8eZguHy529oq2ubJ/79TTvBuw5at01tz1WzbPWMBSmxIZg58YlTuVAkyKCYOY4xdIix/FfmBWDAB8aGsa9daVjWrnU91Xnp8Xzv5wt1FvfvTQZz/9yNnT+0orhttd637IUnKhodmqVKfbcTCYLJseEoKDEKFoq562/dUeGqkTT2yE7zARJBjMKKIbtj5KfiGzTjVo7evHsAzn4nUIaj7WlBXDsVD3OGTsRqQ/E4uyJOFXVgo//+SNunZMAvc5X1fUPZ/oc72QWlBhxXMZ42kX3+s2IC7Mfs/ioYKQl6PFtSQNeeL/QGmm1eWZqdgUi9QEormpBaU0rKAro7TfjD2vn491P7aPTcil1swyRdjuzfI1Xa9tVLM6Ng8nM2u322mIbhVX6Xvb1miTvw99Xg/+zeAre+6wcAX4a3DYvEaU1rSg5ewmTooJBURQohdQ/4fPXL7qWin/FLt2qqLzJpd0QT37H1KpSDzT1TQ00TaG2XmUKvJqtHgJhlDBYKanegKv3xjsLcoFDigKS48ehvqULU2ND0Cszx4thtnA4b+xwueRFTLMCsF+XTAwPxNzMGDAAOJYTHLKS6kuoru/A+vtm4vcfnpAsaSoqb8Lmh/Pw3TUbf7S4HjdMC0d1fbvsPZ0zdoKbHo1+Eys759MUhfzcOOsGB0U5HUtRQEZSGH6xdBriIoLwPwerJHcMRduFpUViwfRocCwHs4XDucYrLj1ns4WD2cyisLzJrRR8qRZmflrGrkUXAJg5YMO2Y7CwrJNCO0PT2L5uETQ0Lfu5R07Vo/hMi+jfxJ7baPitj7SsmMGC4rx9pIYZluXQ2iqvrDcWUJPWHBLiDwDo6Ljq9mccOW3EO3tKhdf41NlxwX5o6+zF0rxJmBY/DoVl4g68mMOQlx6F5fMn40xdm+BAL8iKhVaF0y92TY6sWm4YtFQUC0Xh43/+CIam0NTa45RCzJOfE4cVy5Ltam+FMeOAXhMrG/SwUBTWvOxcQwxYJ/bND+dh4/ZjmGWwPsvq+nbBOGUmheH0mRZwgJBSJ5XypPPTYsM2a7rd/KwYTI0LxeSYUOF8kfpApzofDUNj27qF0IhMVWrT7XmjWljRhJr6DsSG6ZBriMLH+yqFFDfhOlU6uxaKwht/P43gQB+0ddqPiYaxGl+GUzb4nvyOKY3jq0/MQ1lNq1tBL1d/38P92yEMjIHO5wR5+MDuUASj1eDJ8Xbn3nx9NXjvi0ocKLpg93peepQQ2Gxs7cbkmBBkp7hW06w0L0rN1VJzmO26ZE5GFNLix8FksoDWMnj/iwpcar8KigNCg/2QMVmP5Enj8V1Zo2jPaQC4e2myEJBenB0Hi4XFvy9MwhN/+JdkOQ8/d/aaWcV745+743NwfLYJ0cGYHBOKT4/WQOevtVtTyAVjeZtp5jiXnrOac7qq/WG73jtvvILEmGBkp0bC34fB4R8u4t1PyyTPd/fSZGRNDZPcUJH6jtoithbzlt/6QH7jSr8hqTXaSEKv18nukpMdZoIqhmJBazJZkJNmvwvJ14YC1h/l3UuTUVhmTUXiROqpHGtBpfog/m1/FZ5bmaOYCjpctdzC+SkK/74wCRwHHC9rRGNrNzKnhuHupcl2BleqlRaPUg2aXBT06Xtm4IcfmzHLIP4sNQyNTStzkBAVjD6TRTqlblchtq9fJOwMjw/2g0ZDSwpCAUBReRM2yURh1Tx3KaP88Vc/Yu1dWWA5TniOamuG+ZoeqUizhWVRXd+O6UkTrP01Ja6Td/gdv/e2qP2OqakzKq9txcKsGPT2mgZcZ68UrBju3w6B4M24Uhs80nDn3sR2sXj7bWsjDhZZ2w6qDWwOpP5SrcCV2cLBQtP45lQ9GJpC5pQwwSkuqWlF5YU2NF3rUCFWy8p3rwCuZ3MVn21BRlKYqI2xLXtSU84zPyMKYOyfg9iz5c+99q4s+GhoUBQFX18NWJZDr4gwKP8Zz79XiJ0bl6DwdINLz3mg2h2q1ntF1h3udzYuwTmjfMZTY2sPPvumFnfflCz6ue7utI6G3/po2CkfKKSGmeBV+GtpydY8fArTOWMnOM65RtQxpUuxD+Iu+TodvibGV8tg44ps0WvauCIbPhI1Sq7g56dFYKAv/Pyc62haO3rx661H8PG+ShwsqsPH+yqxaUcBFmTFIC/d2p4jJzVS0fEwmSxgWQ40TTnVw4q2KLrdgK1PLkBLew8C/TR44NZUyWe5eVchWE6F8S5rFNo2TZkY6pSqxh+39S8n8YufTMO2dYsQN8D6Vjmj7NgLWLhOiZph2zopqTTqvPQovLBmDhpbu7Fzb7loDZdju5Daho4B6wWoSe2ubegcsFFzpf3VUOsgEAgjDTW1wSMVV+7Nsf5ZTR9jNTXNA62/VJrDfJhr7XZ+fwi79pbb2eg5mdGIGB+ASH2gZM9pwOokt3X22rVqPNdwBb+4aZrs3OnKvdkeq/Rst/7lJCZFheDwyXq890Ulys63oVChB/U5Y6dLz3mg2h38+y0sC0OiHguyYnBn/lT88a/O9zQtbhxOnWlBpEPHEUdiwgJxqf2q5OcOVH9gJP/W1fYrH82QHWaCV8GxHCjKvkbIMYVp1XKDaK2Eo/FQ0wdRTZ3O7Qsm42BRneg1ffZNLSbekuq2nD6tYdBv4XDg+zqcb7yC+MggzDJEw4ehwJotVmdPYsf21Y9/wBtPL8Qtcyeho6sP+iDpumypOh/btDYhCpoZDcNkPXbtLcfOPaXgOMCQqIfJwnnEYPIR1uNljbLnKz57CQsyo51Uz11Bze4C3wuYz2SwvU4eiqZhBvBdiRE19Z1IjAnG7Qsmo7vXZCf8IRW1t63hAuC0432g6ALmZETj9aduxMkfXWtJxTMUdUZmi3i9nFSN2lDrIBAIhJGL7S5Wcvw4t+w3D58BQ1HUgOZFpTnMZJHeed36l5PY/HCe9d5k1LUNiXr8z4Equ1aNEfoA/FDZjOd/ORvV9e04J2ITWJay9hYuUndv/HNQszY6droe31c0o7SmFf1mC7Qam4CvSJeJc8ZOu2sRO2ZSdDD4x+y4XpM6p5R2B+94v7BmjpBSfqqqBb9dnefUuml8iB9Kzl7Ckuw42XGYPjUcf/qyAlETAiU/dyzvtI6GnfKBQBxmgldhMlmQEBWMR145jGlx45xSmOQieI4Og5o+iGKOka1DYEjUo6DUiGOnG/BtSYOTUATHAakJ492qw6Q1DGqMnXjh/SK7iffDLyqxcUU2pk4Mxdcn5dstHT1VD0OiHp98XY0VEo67qz1+e00W/OaPR+2OVfss5Yw3RQFZ08LAaBgwCsrcAHDe2Al6gGJqShF4igIYmsbsDOvniLWXojWMs5BJkbOQFh+1d3SWAfsUM0B8x5tXPn3nmSUutaTiGYoU6K6rZpdT6Ma6kSUQCOqwdU7rW7pwtLhe9vhzxk4smTkRwPXyHLHgcHbqwEpepOYwjYbBt6flA7+lNa0wm1msvSvLaUeXL3lq7ei1c/R4J/o/3i5ASsJ4zM+Ixo0ONoGiafSaWWQkhck6gbb3xtsHNfb8YnO3kCZu2yLLse6ZLxG70tOPhOgQ7NpbjuzUCKdj7lmWAn8fBtUNnYgP19mt1+TOKRbI0GoZUDSFCH2AbEkX7zTz18+rnIuNw/r7ZqKgpAEcZw0sUBLZTyQIPDQlmt4IcZgJXoeGovDsCtcjeI4Og7o+iPaRZcf0XVvDYltPbYu7Ktn9Fs7JWQasRvaF94vw3nP5ik5lY2sP6pu7cOvcBMlouyt1QlI7smqepVZDIzs1Erv2Oi9MeCGOsxfbsPPTMsxMCUeCC5Fxd6BoGiaWQ1ykTvTvvJGuutCG6vp2wUh/9k2tXQuOqyaL7A7C87+cje9Kjaqi9kUV1tptqWNMZhbHTje4LYQlF/2WqwVXA0UBx8vc78U4Vo0sgUBQD++cTo0NQcOlLhwsqpM8dmKEDl8UnIePlkZOagS0DC2q0lxeexkbV2Q72VtXdwUd5zA1KdGNrT2wWFhkp0Zg+/pFgmBpQnQwZiRH4HhZIwrLGoVgrYahse6eGbjS049tT1sFuxyzrGyD4NmpEZJOoOO98fbhk6+t7aTk4GupAWsg+e6lyZiTEY28jChRJ/W5B3KgpSm89MgcNLb1iB7z7AM5OGfsQEyYDty19Vp57WXZc5ot18fFNhiSmqjHSx9Il3TxyuMcd/36S6tb0dp+Fb9/bC5++LFZyBZMnzwBIToffHOqHplTwpCSoMfhk/WSat0kCDw2IQ4zwesYSATP1mHgJ0m10VcxZ9Edp1sNfn5aHPi+Ttb5OF19STHdyrbdk5ahneqwXBU8caxzElKkOnuFnpK256IowJCgR+a0MCycEQtwwIb7ZuIlm9pkMSGOgycu4MVH5sqOTU5apFBv7aqzxS8ofvd+IX67Os/pc+QET/i6dNZsAcVQ+OYHeSGTmvp2vPL4PLR39dmlgYlR29ApWf/EIxeAURLasv3tFFU0orahExMjdMhICkNzWw/MHKfYNkMKiqJQM0wt1ggEwtiit9eE7JQI0QAsYJ2rp0wch43bj4HjrmdM7S+8IJq9A8Dju4JqymDiI3WYPz0WnIUFx7J2TpbZwiHPEAWGphA1IRCTooKRmxYJPy0NTsYJM3Mcfve+NW1dq6Fx3thpVzI2OcZ6bwysPZNprUawGfHhOjz2s0z0mSz42/4qyWebNTUMdU1XkJ6oB0cBZy+2455lyXj81X/JBt9DgnyFThiOx/zuvUK89psbUWvsQMrEUFAWTtU5GdgHCZLjx6Gnz6y61GqWIQp+PhrMTAnHOWMn+s0sclIjcPrsJXRfNSM40AfflRih0dCYmRIOjuNQWtOq2HaMBIHHFkT0i+CVODa1n58RBYZjFQ2brcPw0G0G1NZ3YMP9M1WJDolFi8tqWwVHUQx301wZhsb5xiuyx5ysakFOWqTsZ/MCIY2tPYgXcdxdFTzhFwC8cFXm1DBoNTQyp4TB14fBf63OFa4nLz0KW9cuwKo70sHQFN7dW4bDJy8iOkyH/35iHu5emowl2XG4+6Zkp+g3xwF7jlRj7V1ZkmNT29ChKColBb+rbjKzQhqWWjGZF94vgsnCQatlcM54RTF1raahEzX1HbBYWCTGhMgemxAdjOBAH9ljxAIwrghtcSwLDQVMjRsHk5lFYVkTntz6NV54vwhrXj6M881dLj1L4bwch0TSi5FAIAwRcoJbtvW+wHUH69a5CRDLpuVLXhZmxbi0ppBDjQhUXno0WJNZ+Bxb4SexdQ7NsuiXEYbSahnUGjvx29V5gn320TII8NVgbmY0lmRPRPi4AFzquAoTBxwtsbcZAMBwLIIDtNj0YK7os934QDYaW3swNS4Uq+5IxyxD5DVbIp9+XlTRiJr6doXa6AbERQSBpiloGAonf2xWJfxlmymnlFJuW2r18yVTMSczGk+/fhTvflomiLL95o9HMTUuFMnx4/DEf/8LH3xRgYNFdXj30zKse/0bzMmMRnZqhGpxOcLoh+wwE7wadyJ4tukyNE3BwqmLLItFizkOsnUv7oo8WCws4iODZI+Ji9DBT2v9DLG+xrYLhkh9ABKigpyel9g9OYpr2Do5JpMFswyRCAnyddp9/dv+Kjx9zwzs2LAY1fXtCArwQV1Ll91zOVhUJ9RlhY/zxyxDJArLxY0svxu79ckFOH22Rag3y5oWjo++tO+PrBTptcVxV53/HD4Cz9A0quraFI304hmxQm9oOSLGB+DIyXqU1bYq7prPTIkABXkBGMcAjKs16IA1YLDhTfEov5p2HWJwHJCbFiW740PaRBEIBE8hBMDXL8J3pUacM15BXIQOU+PGOQk7AdIijjznjJ3gpkfb9cgdKEoiUBoASqsDpbaDthlFFE2B42Bnn/PSo5CSMA6afkaoA54UFYwpEymUVLcKz8nWZpj7zUiOC8WODYuvPVv7NPErPf2IjwrGr7cegdnCYn5WjJ3wlxhqMqgaW3tQf6kLKRPHgaaBmnrlgP7iGbE4YmPT5TL/hFKrOmupVWJ0CCaE+CM7NcLu+2JhWXAcpSjY9l2pUbbUiDB2IA4zYdTiSh9i/ngx0SR+kpVTq3SV3l4TZhmi8eEXlZLOxyxDFPp7zYgPs+6Y/+vkRVHVcA1DY25mNDiLs1l2vCcxcY3s1Ei7OiGWBbb+5aTQrsFWtfKVj77H9vWLkBAdgtaOXsld2lc++h5vPLUQfz3wIxiZRvAFJUbo/LV48NZUWDJZmFgOq148KAiu2X62WkdPbFe9oMQo1BnPzohGdX277Dn4fo0+WhrJMeMUFU55ATh+11wuuALAJZVNV3tVDqTvqBI6f82YVQglEAhDD8eyAE3jREUzctMi0NtvEdKwxbDtaezIYGTADIYIlFxXi6smq33l51+KAu5cMtUpeA04C2A52gwNQyNU52NdG2XFwGThsL/oAhpbu7F8/mTBWQbUladFTQhEiE4+gypSH4C6xi4kx4aq7uwAwM6mS5XbifbtRp2oEFhagh4l1ZdUpXWTUiMCQBxmwhhCjXMgFS0uKm/CTbPiRdUq3cWHoSSFSGzraDmWhYa21hR99k2toNANAJlTwrDyp2kI8teiv9cknMM2Mk1zwHMrc7D/+AVRcY2/7a8Sos4ahkLBaaOoyuXdS5Px6dEaVF9sB0UBF5q6FJ2yIH8tgnW+ss9hUlSwMDbHThsxM0X6s9U4elJG2Fa0LSctQtU15aRG4P3PKySdYMe0QLFdc7HFk9oFljvOr9o0fHcWABqGHvMKoQQCYejQahl8V2JE8ZkWWCwsMqeGydpdW7EqWwYzA8aTIlCyGUUrc9Bvsti9bkjQg6Ip2Z7KtgJYtjbj+nEczjd2CJlshkS9U9tHNZowKZPGI0Tnqxhgrm3oEJ6R2s4OtjZdLPNPqUuF43NQoxTOB19IqREBIA4zgWCHYs/FAfQEtoV3aKdODMX2dYtQUNqAC01diIvQIc8QDe21Psy216XX+eLum5JRWN6I2elRmD4tHKeqmrH3aI0QgdYyNEwWVohMJ8YEIzslEr5aBvfenILHXjksu1Ppc203WEoQa+1dWfDz0aC57aqisalruoI+kwWzM6JVpSD7+moUP7vzSp+TsJkjSkb4xwtteOLnWbK7+zlpkda2ITSN/Jw47C+8IKR0N7X2ICY8EMnx40XTAh13zcUWT2oXWO44v4Pdj5kohBIIhKGCpikhbVeN0zY3Ixr/c6DK6fWhyIDxhDMum1G0qxCvPjEPFAVhvk2fMgHfVzapFsACnG2GmePsyr7EnEml8jQ+eJyeqJctI/vsm1rcf0uK8KzU9DUWs+mOpVZahsYZhVIr2+cgtmPuWK4WqQ9AaXUrKTUiACAOM4HgxGA6BFKpVotmxELLMLBYWPT2msCK+OX8dc3LjEaNsRNP/Le9suR7n5Vj44psHCyqE+p/qRNAYkwo/rq/CobJesWdyoVZMcicEoa1W76WjNJuX78IfSazYm1vXGQQjpc2yhpZ21ZHLMspfvbWJxeocvTkjPCzD+TAh5H++9P3zEBtQwcSooKhgXU3eMUtqVbxEYbG0rx4XOq4KpsWyO9QKxlZpb+74/wORT9m/nMIBAJhMLGdA9Voivj7MNj2tPsZMEqdCAYTNRlFp8+22Dm/FICLzV2y53VMU7e1GRQFFJbbO9xS6de2TmrVhTZcaOpyKhEzJOqRGBWM15+6Ed8UN9iVkX32TS3yc+PsAhdqU9rFbHpBiREnKprw4iNzMDFch3f2lKl+DmW1rbhnWYoQfBErV5uXGYOsqWGDFmgZzu8awXWIw0wgSODpCczHT4Pq+k5s3qVevMkRiqbR3Wd2it4C1xWeNz+ch29LGsBx1+t0QnQ+ijvC54ydoGfEovhsi7xjXdaInLRIhOj8ZCP9uWmR+PCLCpjM1r/btr2I1AdgQVYstA6LGKXPLj7bgoXTYxSNjJIRZs0Wp/ZL4eOda8P5ceGVTPnPDQn0AUOrF+5yF3edXzVRe1JrTCAQhhM1DoPjHOi4s9jY2oPE6GBrRwlY53Z3At5ydcOeLDWRu2c1GUV1TV2YEOov/Lv47CXMMkTKvsc2Td3RZlCUeHcQqZ183kl98+mFyE5l8fUP9ULwmD+3ud8MP4ZGfnYcao2dOG+0dpJYcUuqaOBCw1DwoSkszIoBJzFmSja9v8+sKHBq+xwYmoaGoZTL1VbmQK9QVuYqQ/VdI3gW0laKQBhkaA0DM0WjravfyVkGrqdEq2ldQDEUvimW7wvMpx0B11OrrMZCfkdYENdQUK2sNXbiap8ZZtYi2xbKh6Hx4iNzcOOMWFzp7sezbx1DcZW1Ds0atbUaSl9fjbCIUPrscw2d+PGiunZTSq3J+L/PTo+CycyiuKoFG7cfExZkwrhcO59tOxC5dieO7coGijufZbu4WLXcgPycOKxabsD2dYsQH6YcmCEQCITBwpU2eYDzHFhQYsTG7cdQWt2K2+YlYEFWDBjWvkWU7Xyt5nrON3fhkVcOo6DEiH6zBQUlRjzyivtt+Ny5ZzUZRQnRwbh1boLwLMpqWpGaIN/6km8/KWYzOE6+O4iY3fnVnVl477NyPPHfX2NiZBBmGaKczs2xLFiTGUlRQcifGSvaxsvxmRw+WY+efoudCKnddcnYdMcWX06tMaeGYX5WDGanRwm2UK/zRXyYDvffkipZA/78Ls+2leK/a2tePox39pTiQNEFvLOndEAtHwlDA8WRbQZZWJZDa6t8ugvBSkiINerZ0XF1mK/Ee6A1DGqMndhzpAaGyXp8vK9S8thVyw2yglZaLYNq4xUcLa7HwaI6yfMszo5Dv8mCts5eZE6ZgLDxAXjtbyfxu1/OERXEAKxGcNu6hfDX0Dhy2oh39pRKnv+h5WkoKm9GgJ8Gdy6ZCpqmcKKyCfUt3ZgUFYTctChoaQomC4uiiibU1HciLlKHjKQwNLf1ICEqBFrG+vfC8qbrEda0SNQ2dOCF94skP/vupckormoR0tFsd4GlnEC5iL5Wyyje74O3peHG6TFO9evWKDGGRPxqIJ/lqbQv8vseW5DxHlsM1ng7zj9SolZKc7njHGjdlYsEA+k5UGnu5//Wa2bx/ucVuHVugpCSG6kPFNKIV9ySCoZzf0535Z4tFIU1LztrjfDHv/6bG+Hvw8Bk4YRnkZ0aAR8tI1o3vOH+mWhu7QEHONkMfswvd/aKfmZeehSWz5+M6ovtqGnodEq/5j9j65ML4KtlXLJ97n4P1Jxzf6F1x1iqDCwhKhjma/ZczRpAaW3mCkrju33dogF91+Qgc7o8er1OViOHOMwKEIdZPeTH6GygzRSNR14+hNkZUdBqaFlHNz8nDiuWJUv2iPT11eCfRRdhZllZx3vdvTMQMT4QP/zYjMbWbiREByMpdhzKay8hfHygohFRmtD/sHY+fvWHf4HjrClPhgQ90pMmAABOV1/CbfMSJY33cytzMCkiCOcar0gayv2FF+x6MNv+ffPDeU61w1JGhk97snPKHdKeAgJ8sHNvOQ4UXZB8nouz47Di5hSY+kyifx/KOqSBftZA3k9+32MLMt5jC0+Pt9T8S9MUHn7pkNsOg5o5TG7uB2D3t8SYYEyfGo7LV67iv94+LipU5aOhkTIx1O353RUnSc6RXHtXFr4rMeKh2wzQ0tZ0ao7jYOEAk4XF1T4LTlQ04mJLtxBQ8NXQYCiIPi9+zDuv9OF8S5eozX7q7hsQ6K/FP49fQFuntcWjo9ew+nYD5qXbO5RK4zQYjqNWy4CiKVztZ7HmZXXfMV9fDd77olJ2DaC0NnPl+obSOXeEzOnyKDnMpIaZ4JV4ixiC2usQq0mZkxmN46fqYbawqnoYKikXsyyn2Bd4TkY0/Hy1WP/GN6LGtvlyt53ac0J0MDKmTEDxmRZcbOlCTkoktNfqesSM59P3zMDpsy2CweQ4oKSmFSW8AAkFPHSbAU+9dlQyvWn7ukX43fvSqemvP3UjCssbhdpn2+u3beFk+z7H1kqyrTkeyMGkyCCYLCxOnb2E2HD5VPVIfQDKaluRFj9O9DswFN9P2++hO0ab1EwRCIShQm7+3XDfTGSnRjh1FwDU9YhXmm/lPvulR+agq9dkb9uKrtsXx+vixSZffWKeYncGKVxtDahhKPSbLU6aH4ZEPSrOteKWOQk4cuoiLjR2ITEmGLMMUbjQdAXP7yqEhWWRlqDHuGA/FJY1IWaCDvHhOpgV5niOZREfZi3h+dfJi3afaRX3uoKjp+ol31/b0IkFmVbVbTlbo2Eo0DQFiqJw+GS90A7Kts64rLZV1ffAFtvP7DexYBjIPu+iikbBwR/srhK2DGbLR8LgQxxmglfhLQt7V65DykCfudgO5pqRVdMOQ0koSqkvsFZD455lyXj81X+JOqNb/3ISW56cj0+P1GDRzInITrEKqez8tFRwQt/ba+316OfDWB3XskZcaOpCbHggMpLCcLzUCK2WkbzGtAQ9TisIdxWUNmDprHh0dPcLBpL/fLOFxckfm/HOxiU4eqoe54xXEBseiOlTw/E/B6pEF1mARJsMidYc+wsvID8nDs+/Z11gvLBmjuy4zEgOx5ffnkN6wnjJ+x4sPPF7UAoeuJP6RiAQCFLIzb8vfXjCrh+uIwN1GMyA6GdbWBZmlpMUzHTs02v7t9NnW7BkxkS3rsdVJ4mmKRSWNeHgiQuC81tc1YKa+g6nlot8Fwzbe+LLlQBrffP2dYsgbbGvw7EsNDSNrKlh+OybWhRXteDPX1UiLUGvOtivZGv6zRYUljVhbmY0ahs6RZWp716ajE+P1qj+Hjh+5vysGGg18nXANQ2dmJcZA4p2rRf0QBlK55zgeUh1OcFr8BYxBFevQ2pxcKntqiC0pSSioVYoSkNRyM+JQ8FpIzY/nIe7lyZjcXYc7l6ajLc2LMbJH5tlndWSs5fwwE9T4aNl8NRrR1F8psVpcfD8rkJwHHD4RB3mZ8UgJzUCHAf88GMzsqaFIyclwukeeCaM88eFRvkShrqmLhgmTxCEOF5YMwd56VHC32sbOsFQFE5UNKPfZMHljl6cqGiSdJYBeyOj1TJObTJ4KAq4dW6CMF78uDx9zwzRcVl7VxZ6+kzITo0YciPmqd+DbF9PlWJzBAKBoAa5+RdwFqZ0xF2HgaJp0FoGBSXioph8xwh3rquuqcvtrgIsyyExRlnIi79n3qniOKvze/RUPcpqW3HbvESnILmaeyosb5QNctvCsSz0Ol/cfVMy8tKjsCQ7DjlpEZiXGSMrKpaTFmktQVOwNUEBPjh44gL+fugMpk8NEwIAH++rxMGiOny8rxKbdhRgTma0apvr+JlqBE4jxgfg1T//INjRoRLxdBQmc0SNc67VMoJQKmFoIQ4zwWvw9MLe3YnFleuQWxyU1bbCkHhdvbKgxIhjxQ12ju6q211TLubVj1fckoqa+g5oGRpzM6ORnx0HPw2NGiWF64ZONLR04wcFx7rqQhumTw3DqhcO4sUPivDhFxWCMWu83IP/Wp0ralxunZOguDgIHx+AvUdrnAxkXnoUDIl6zMmMRl3zFZw+24Kjp+rx2bFau+foiKORkYvo8/0rbe/9u1IjIscH4PlfzrYLQGx+OA/HihvwX28fx6SokCEvDfDE70HN4tWVBRWBQCDIoWZH1bEvMI+7u3l8cPH9LypwvvGK6DF8xwh3rsvWoXUVk8mCmSmRsvZrZkqkcM9iTpWY3QLU3dM5Y6dL6eS2StQP/TQNFgvwwRflksH+dffMgL+WdilQUn6uFUmxoZLK1Fv/clKVzRX7TMd1lyO8avjpsy2CHR3KrhLuOueuKssTPA950gSvwJML+4FMLK5eh9jigKIAQ6Ie86bH4FRVi93upW07jJ/OTcCC6TFOrRaUsDVo+TNjkRQVBNZkBmthVbWkaL/Sp2hkLzZ34Z/HL4gas1c++h5hoQF48+mFWH27vXHR63yRLbMDbdviwvacBaeNuP/mVGRODcM3pxpQdaFN2Hl2dXdeLu1pfIgfGJrC/KwYGBL1Qv1UYUUTntn2DYqrWtBvsti1mDJbWJyoGFqn0lO/B7XpgEoLKr6G2oPdsggEwihEXdppEDq7++1eG8huHh9ctM3qckTNzmOkPgBtnb1O1zUzJcJJ0EptMF6rZXDO2IG1d2VBq7HaP97+aDXWLKZzxg67czk6VbaOMb++mJ8Vg5BAH1XtIt1x9k0mCyzX1hRXuvudgv1r78rCa79ZgGCdDziWcylQkjpJL5kJAEC1zRX7TKX1gq0Wiq0dVWpD6Snccc69JftyrENqmAlegafEEAZar+nqdTguDhxrcjQaGhMjgrDjmcU4VlyPC01diIvQIc8QDS1Dob9XXHlZDY7RV3W1OJE4U9emaGQnRgShsKxR9G9WY9aEn+TEYemseFy9ahJE0TgO0NBWtWsplU9H4a689CjkZUThsVcPix4PQEjHFgTLLvcgMToY2SnirZXmT49BYXkTWAuLcdfERIICfbB8/mSUVl8S0sHvXposiJrwKXBi2IqaDAWe+j0MtGbKroba2HntmROxMAKBcB1HcUwlOzQrLQqz0qI80pLPVlRLTiukrLYV9yxLkdWrMCTq8eevKu1e4514juNc1pTQahn4+GhQ39wNDixe/81CHC8z4kLTFWSnRuCx/zMd35bUw3ipB2nx44T32TpVvAAmTTuvL4J1vpiXGYO/7a/yaP0tf5+HT9ajtqETmVPDhHZSseE63DonASermvG/Z88iMSYE+mA/+GkZRVsTqQ9AZ1cfUhLGo7fPDIqCaB07oM7mStk32/WC1b53ibbEApzt6FBkknEsCwbA/Iwo3Dg92m79JIZStpnaOnXCwFDlMDc2NmLnzp0oKytDZWUlenp68OGHHyI3N9fuuP7+fnzwwQfYvXs36uvrodPpYDAY8OijjyI9PV04rqCgAHv27MHJkyfR2NiIkJAQZGRk4PHHH8e0adOcPv/YsWP44x//iMrKSgQGBiI/Px9PPfUUgoPtfyjd3d3YsmUL9u3bh87OTiQlJeHRRx/F4sWL3Xk2hCHEU2IIA51YXL0Ok8mCnLRIvPdZObJTI5xEOQDgb/ur8NwDOVg0IxZahoHFwqK31wRWhdixq2rhGkpa4XrtXVnouNKHmLAgjA/2l104pCdNwHuflYl+BkUBJhMLrYYBy7JOqs2Oxp7vmZmaoMffHIS7KAq4bV6iaH9oRyGWghIjvis1IiMpDL/5xQ2gWNbOyDguZnJSI5CeNAGnz7YgVOeHAD+NqHr4U3ffAH2Iv2zLr6EU4qBoGiaWQ1ykTvY4Ndc0EEETqeDTrr1ELIxAIEiLEmoZ6aDpcytzBMdYrcPgiK1dtA0u2u4uOqb7MjQNjUwHiOdW5iB8XAAeus0g6sS7Eox3fC4zU8Lho2WcgsJ/+rISa+/KQmx4kNNcbutU0TSFXguH8SH+TrbyXEMnnrk/Gy9+UCR6T7yzrxa5tlb/tToX3T1mPP369S4YB4vqrGKhD+QgJzVS0tbMyYjGvMwYHC2uR/XFdsRFBOGFNXOcHFgeNWnwcvatoMSIExVNeHPdIlR/WSGImDk+Cjk7OtjdWtSc01WVdcLgoaoP8/Hjx7F27VqkpqbCx8cHhw4dEnWYn3nmGezevRurV6/GrFmz0NbWhh07dqCmpgaffPIJkpKSAABPPPEE2tvbsWzZMkyePBmXLl3Czp07cebMGfzpT3/C9OnT7T575cqVWLx4Me688040Nzfj1VdfRWxsLP785z+DtklFeOCBB1BeXo6nnnoKsbGx+OSTT7B371689dZbWLBggVsPiPRhVs9Ae7wp9eXbtm4hNDJfV0/1uFN7HbxRrDV2guOAEJ0vnnvrW8n3udJXUE0PYSk4hkZLey9Kqi/ZtYf49GgNisqb8PLjc9HTZ0L7lX7Rnszr752JPpMFr378vdO5+Qj3mTpr1FZpx1HrowEoCnXNV1B1oQ3vf15h93dDolWBU66v9N1Lk1Fc1YLSmlZhEeCYuqTUuzJ6QiDWvf6N5Ni88dRCPP7fh+1aWdn+Xem75yn4+/jd+4X47eo80UCCq9ck92zEniXPYPTJJIwcSM/OsYWr4y07rwit+ziP7CLbfqajXZyTEYVvS4x4e/d1u2+/E9uD+EgdZqdHC8FyMwfJ65JyktTOh47PhaKAF9bMUZjLF0GjMJdaKBqPvHII0+LG2bVg4jirM3rfzSk4cqoezZd77O6Jb+Uk14fZdsyl7pOigBcfmSu7xtmxYTHqmq44fSfmZERj0cyJok792ruycKy4wc5p1jA0tq9fBEbF90TJvk0M18n2/RazowNZf3kaT/aJJnO6PEp9mFU5zCzLCo7pgQMH8Oijjzo5zCaTCVlZWVi2bBleeeUV4fULFy4gPz8fjz32GB5//HEAQGtrK/R6eyXCzs5OLF68GLNmzcLrr78uvP6zn/0MZrMZ//jHP4RrOHbsGFauXIktW7bg5ptvBgB8/fXXWL16Nd544w3k5+cDADiOwy9+8Qu0t7fjyy+/VLpNiXsnDrNaBvpjdHdhz+OpiUXNdQCwO+bnS6YiKFCLnXvEd2UB9Q3plRYicjt7fNBg56elQkuKtk771k13L02G2cxidro1cn2isgn1Ld2YFBWM6VPC8PFXlaK7vnnpUZiTGS3qZItdF0XTaO3qw2fHanGp/SruvinZ6Zx8Cwi53d0lOXGYOjEUJjMrueCSW8xkTglDdmq47Ng8eFsaUiaNx4Y3j7n13eORWmypjVTb3ofs83bhmgB+ASC9SBS7D08EnwgjF7K4Glu4Ot5qHUhP7dJJ2UWthsZrv7nRqZ0ir08xIdQfK25JAevw2a5clyvzYa+ZtXsuaoLCq283CH2BpT6//nIPggN9UFXXjpKzlxCpD7RLMb57aTJmp0chNNAHrIWF2cIpOn2OYy53n2ruY9VyA+ZlRqPPxNpll81MicAjMt+VzQ/nYeP2Y9aSLg/bNwAurSsHsv4aDDxpi8mcLo+Sw6wqJdt2F1fuGIqiEBQUZPe6Tmd1Lnx8fGwuylm2Pzg4GPHx8WhsvF432dTUhJKSEmzYsMHuGubMmYOIiAh89dVXgsO8f/9+BAUF2aVfUxSFO+64A5s2bcLZs2eFHW6CdyKWyutKVNpTad1qrsNCUXYTqrG1G5c65H8navsKDiStnE9Pk6vHbWztQcQ4f/zjX2cRHOiDoAAfhIf6o7m1G+eDfKHV0DhV1WKX1qaUOu14XRRNw8QBJ6tawNAUMqeEwdeHwX+tzsV/vX3crgWEUo/HxOhgzM+MhslkEU3bU0pZCtH5KNYDX2i8gkU3xLr93ZNLTTRdEzVTilQ73odj3bbjTonLQnFQXzPlqRpqAoEwOrB1MAEMKE3UHSdayi6azCw++rLSKQWc44DK8214bvEUcBbnic4V513tfLh4RiyOODwXNUrWcvW6FE2jz8LhTF07zhk7EakPxJLsOHx6tAZ/218l6Hw0X+5BaKAP+npNbmu5yN2nWkXuG6dHC+JZN06PBkVR+NepesWuHPcuS4WFZTE3Mxr+WgasWf34KNk3V9aV3lYvPJR9ognyeEz0i2EY3HPPPfjrX/+K2bNnCynZr7zyCiZMmIDbb79d9v2XL1/GmTNncMsttwivVVVVAQCmTJnidPzUqVNx5swZ4d9nzpxBUlKSk3PP10RXVVW55TBT1PWoDEEejcY6jXjieS3Liwd1rfbGlUzYWYYo2Ykl1xCJgAAfkXeqvw6KAvZ9d97uM9Q4fgnRwfD318LPTyt5jNi5bTFbWBRVNGLprHjR50JRsLZ1KhI/f156FJbPT8SJiiZoNDSCdb4wJOpRca4VszNjUF3fDq2GhkZDI3pCIP77iXkorGgCQ9OoutCm6rpMZhaVF9qx+d3jdsf/bX8Vnr5nhnDOpss9SIyxCnfJiZbkpEVCq2UkFTNpmkKtUXoxc7mjFzNSwiX/DlwbGz8N/Hw1Ln/3zBYWlefbsXnXcafFycYV2ThYVIdjpxvsXt+0MhfJ8aF2Kp4c4LRY4eu2+WwBlgX0IX6yQR+Kglu/HcdzyH2PAHXfZ8LIxZPzOcH7kRpvs4VF11UzjpYYUdNgFf6bnxUrO+cCVufp5tmT7OYqsXPlpkVB56+R7KwAKNvFY6cbcOMNMdixYTGOl10PTqo5txrUzoe+vhqn5zKQtYGUbbEVxOR1PmobOgQb1t7VL+v07diwGKEh/k5jLnef7t4HTVOoUQg21DV34adzEzAuyA++WnrA4yWFkm0f6PprsDBbWGxamSv6Pdj0YC5CAn1UPTMyp8ujJNDvUZXs9evXQ6fT4fHHHwd7LWoTFxeHDz/8EBEREZLv4zgOmzZtAsuyePDBB4XX29vbAQAhISFO7wkJCUF5ebndsZMmTRI9zvZchJEBx8EloQoenb9GdmIJ8ndtcS92HRTlbADk1Dn5z89Ji1ScZMXO7UhtQ6cw6Ytdb25aFHbtdQ4a8Cm+v956xOnZPHN/NvYerbFz7Pjodb/JAn2wFmcvtqu6rq6rZidnGbjekmrzw3k4XdWCeVkxyM+JQ7/JMqAx4zgOiTKZBWW1rVh9Rzo+3vejqrFx9bvXddXsdO38/b7wfhE2P5yHb0sahPObLSw27zpuXbTofITXLjZ3I0IfIHJ/17MFUiaNk7w2C8viSo8Zx8uNqKlXvxgVQ+57BKj/PhMIhJGLlMN2vKwJ2SqCkLZzldS5du0VDyDaosYuFpY3YWZKBJbOci/YLofUfCikfY/zx5zMaFFbNJC1gZxtsRXELK1pxU9y48Bx1ms6Xia/+3+8zIils+JV3yd/H0oq42L3oWSfASAxJgRxEToMdqazkm0f6PprsNAwNJLjQwctIERQh0cd5h07dmDnzp148sknMX36dLS1teHdd9/FQw89hD/96U+IjY0Vfd/LL7+MAwcO4MUXX8TkyZOd/k5JNfJ2eF3qOKW/ycFxJN9fLd5SHxEXFiiZftPd1Tfg82u1DBKi7A2AnDonXyvDqPguiZ3bkUlRwejq6pNMwaFF2jpRFLB8/mRRwQ6zhcWLH4g7dlv/chJbnpyPIH8fmCQMsO11Xb1qwnel8sa6tKYVHKypdPx9DHTMslMiJJ07hqbBsdyAx0YMrZZRdb9pCXq7FHmzhcV3pUYhZdFCUdiw7Rv8dnWe7IJkZkoE2tuv15vRNAWWA/otLGobOvHShyecFqPu1l2JfY/46xjIMyOMDLxlPicMDVICUGIO2+mzLbjrJ9NUz1Vy5+IDiHIigp6wiwPFcT50bPF0rLgB2SkRyE6JtLNF7q4NXLEtzZd7oKEodHRcha+vBjX1yk7f1asm+PlZ/2372VLzvhqVcSmbIGefNQyNmcnhaGsb/nnGG75nclAA5qVHYUHm9bTz7i7110HmdHn0ep3sLrPHHObq6mps2bIFzzzzDO6//37h9dmzZ2PhwoV488038eKLLzq9b8uWLdi1axeeffZZ/Nu//Zvd30JDQwGI7w53dHTY7TyHhoZKHgeI71ITRieu1mu6ilRNCV9z+vwvZ6O6vh3nGqyOX25aJPy0VqfNpOCzeKJehWNZTIoMwutP3YhvihvQ2NqD9CQ9zl6UT6mWcuyKz1zCiYom/HzJVNkFUnZqBDiOU6z1amztwYRQf7v7kBozjYYBrdUo1rppKEq29/NfD1SBpii8/tSNOPljM2obrjvlvloaDAWwLOWyEVRT29bY2oNxwX5Or/P1XnztssnMyi6sNl1rEQKKsquXjo8KQnZqJA5/f9GjdVdS7cGkel8TCITRg5w2BMcBe45UY8N9M52CdGLtjAbaGscb6jht58NaYwc4DnaaHgeL6rBrPoAjtQAAVSpJREFUbzleenQONj6QgxdsbFFBiVHS/tjOpVLtsqTgbUtCdDDYa5/ljpaLY025XM2vXufrstaHnH12p/XVYOEN3zMlSK3y8OExh7myshIcx8FgMNi9HhQUhPj4eFRXVzu9549//CPeeustPP3007jvvvuc/s7XLp85cwZz5861+1tVVRWysrKEfyclJeGf//ynnaI3fxxgrXkmjC0Gc2KRMgBF5U24aVY85mdE48bpMTBZWBxTIfik5tyuGBeThcUT//0vTIsbh3HBfmi53IPGyz2y75Fy7M4bOzEjOVwxSq6lKFXGOlIfgKypYaL3wY8ZRdOwUJQqsSxAQqgtOhiZSWE4faYFhkQ9clKtgYtFN8QCN1h3uHtNFhwtbnC7dYTa+y2uanF6nV+02C6MxIS+IvUByE6JwIRgX5hMrKiYywefV2DtXVlgOc6pp6XSYlQO20DGzbMngeM4tLdfJanYBMIoR8lhKygxIj1Rj7fWL8LxMnnnyRMigt7gdPHzYUJ0CNb83rlVkdnCYsObx/Dfv5rvNIcbEvX46MtKrFpusNsh5Dhx0cg5GVGKddOR+gCUVrdiZoq15NHX1xpcVuv08TXl35U62FnATrjLcdPB1Q0JJSFVDUOpCowPBd7wPSN4Jx5zmMPDrfUsJSUlmDFjhvB6e3s7zp07h9mzZ9sd/8Ybb2Dbtm341a9+hYceekj0nJGRkTAYDNi7dy/uv/9+wREuKChAU1MTfvKTnwjH5ufn4+9//zsOHTqEJUuWCK/v3r0bCQkJRCGb4BFsI7FyBsBsFndslFQqgYGrhdvuWPK7xXxLCDmkHLvw8QHISJqAXXutbZnkVJtNLBSN9YKsWGhl7sNdhU+xXWoAWDA9GhYO6DNZcOSac5wYE4ysaeH46MtKJ0Eusc+QUnVVE5E2JOrx568qnV7nFy1aLWPndDsKfRVXtSDAV4P5GVGyCp62NW2O9nygitYmk0VRXZ5AIIwe1AQDOQC+DKXoPHmig8VA7aKnENst52uZ+f7IheWNOF3VAg4Q5vA/f1UJjgNSE8bbBS+l7N37n5fjtd/cKJvVZUjUY8rEUDA0hSM2zvYsQ6Rs6jSfqSQlVsnbQDnndSDBV/67wre++vZ047D3O7a9Tm/4ntniqdZshIGh2mHet28fAKtDDABFRUVoa2uDv78/FixYgBtuuAFpaWnYunUrenp6kJWVhba2NuzcuRNXr17FvffeK5xr165deP3117Fw4ULMnj0bp06dEv7m4+OD1NRU4d9PPfUUHnzwQfz617/Gz3/+czQ1NeHVV19FZmYmli5dKhy3YMEC5Obm4tlnn0V7eztiY2Oxe/dufP/999i2bZvbD4hAAKTbBmko8cWCY9spHqUUWduJkTNZ3EorF4vmqxEekXLsDIl6FJY3IS1BL6ra7K+lrTul1yLElIWTjNBa04rljc5A2zo4GhSxBQl1AshICsMvlk5DbLgO/3OwChzn/Bly487fg1xEeuOKbHz2Ta3duDlGqsWcbluhLw1D44mfTwdgFbZxNa0eUNdOjUAgEHg8mZ7qqXMNdrmVElotAx8fDfpN1laLHAenWubMqWGYmWJtKfj+5+VO53AMXrraLguwPq8N989E+PgAtHX04uGXDjk5vS89Mgc7n12Ccw2dOGfshFZDO7XGlKopH8z2SUqBAjWbCrYMhjM53N8zHjXrD8LQQXEqcwv49kyOxMTE4NChQwCAzs5OvP322zhw4ACMRiOCgoKQkpKCRx55xC59+t5770VhYaHi+XiOHDmC119/HZWVlQgMDMSSJUvw9NNPO9Uld3V14Q9/+AO++uordHZ2IikpCY8++qjdjrOrsCyH1tYut98/lhitggKuNrJ3p9E8PzEWljcNeGKU+nxeJVsspfqZFdk45ND+iK//PVbcgAA/LfpNFhw9VW93zmdXZGNSdAgKy+wjxNb+w5zLEVp3np0SForCmpcPC/fsuMBJiA7G5JhQfHq0RkhnXrXcgHmZ0ahp6FQ17tbxg9P9ahlK1XOQ/Y6tzEF8mA4+WhrvfVGJA0UXJO91cXac0zhpGBrb1i2EZoDWfrT+vgnikPEeW4iNt5p5Sa198uS5hhpH+xwXqcOUieNQca4V4eMDRW3qU3ffgK9P1juVyNjaLzX2buOKbCRGhwhp7wnRwchJi0SAD4N+M4tVLx6EyWz/3KztIyejur4dtfXWjKrs1EhoYLU7g2FnXcXRLtuiYWhZEThAfM00JyMKWoYGa2FH/E6sq+tONZA5XR69XgealhGPVuswj1WIw6ye0fpjdHVi9/XV4L0vKnHwxAW7NK2y2lYhQpmfE4cVy5LR12celIlR6pptDem5hk7ERuiQnRKJzu4+YVfTtuaKdyLvXpqM4qoWu53LORnRyM+Nk0z7SooOBn1tF1Vt9Jd/dnJOoe2zU8JxYSAXNOCDAwUlRuTnxOHnS6bilyJ1avzxYgZdKtqtJgou5XTzzrWaRY7jOHlyMTpaf98Ecch4jy2kxltpXnIFT55rqJCzzxtXZOOgQ6DZ9u+bH87Dxu3HBLtvG7zkd6u/KDiPD78sl9y95O0dy3KgGdpOF4V33G2DvXI2jl9PqAm+umJnXcUdh93WhpotnN2YOAbBJ8eEIDtlZO/EDjSgIAaZ0+VRcphJ8y4CQQatllFMgy0sb4RWez15iWU55KRF4IU1c5A5NQxaDY3MqWF4Yc0c5KVHgaKAGcnhYBgaWi0DM8fhd+8XIjl+HOZnxcCQqAdFXU+NMsuEtLRaBr6+GrvPB66nCTv25ysqb4KGoTAtbhxMZhY9V82oaegAQOE/3i5AcVUL+k0WFFe1YOP2YygoMQpp2WW1151lrYbGPcuSnZxl/pk8v6sQlzr7cPhkPXr6LTBb1MXlPFHrZottejpFAbfNS3RaSPDXvPUvJ3HbvERhfArLG10ad8CabtbXZ3ZyiqVet4VjWUFoZcWyZMzPiALDsYLB59MapXouahga8zKjkTk1DIuz4/DgbWnYvn6RV+/cEAgE70ZpXhqucw0VciVCL7xfhFvnJoi2orEtkQGuBy99GKug5ZHTRrzzaRkYBsLaQIyE6GBQFAWzhcOZix146IWDeGdPKQ4UXbD2sN5RgDmZ0cLaQs7G8esJT9tZV1ErAkfTlCAAeuS0Ee99UYkjp40wcbBzludkRmPTjgJ8vK8SB4vq8PbuUqx5+TDON3eBokeem+POupMw+Hi0DzOBMNpwR93TbOHgo2HsWk4AVoP5X6tz8X8XT0X5uVbs3FuOxJhgTJ8ajlcfn4fCiiahBurupclC1FhM4ViptkVOuAIA1rx8CBaWxQtr5mDTjgJkp0bgV3dKtzMKHxeAh24zCOeZkxGNb0saZCf0ooomFFe1uFST5Om2DrYLA762V6kGOCMpDKkJenz4RYXsuaWEtAZaU+Vu+6wN98/ED5XNmBiuw9LceIDjYOo3g6QQEQiEgeLJFNeRki6rph2WlG4EADRd7sH8rBjkpUcJJTrnGq9Itj8EYJfCrWFopCTocfhkPbJTI7G/8MJ1HQ4bobH9xy/gzvypuNLTr2jj+PXEcLZPUuuwWzg47e4bEvXo6TPDbGGFAIHjWgsY/FrswcQTqvIEz0McZgLBAVuHx51IrFREOjs1Au1X+vFfb9sIbRRdN5Y19R2CsbQ1oI4To9ZHg8td/di1twynz7YIqVyOjqmUavSRawsAQ+J1B1KqnVGeIQrBAVqY+81256FpoEZlj0gLy+KTr6vx1C9uAFT0Olbb1kGNY2rrgI8P8UNja7fiNa/8aSoozvVxHwqBDrlAiK+WRsrEUOvz6DN55PMIBAJhJDAY4k+u9EIWIzE6GPMzo2EyWaz/s0iLgTp2OeDXAP9zoAoFJUa891m50DoQgF0KsmGyHoH+WizLm4QffmyWvV5+PaGhKGxamesk/DUU7ZPUBsb7TBan52Vrx9UEwd1tqTicDHcGAEEc4jATCNeQcnhyUiNVR2KlItJKkVBHY2n7Wk19h1V9Wri+BtTUd8AwWY8786cKO9FSEVVbQ+HrqxEWAI4OpFg7o+bLPVixLBlmh/NotQwSVfQfNputu9ilNa14/4tyVbVFSm0dALjUo5l3wD/5uhqGyXrZa06MCcZ4nS9M/WaXIvCeUvxUg5SCp7mfheerzQgEAsF7GcxApRrHRaodo4ahMTMlAj09/QDU7VafqWvD/TenwnQtoG1bm8yvCV5+fC4aLnU7rSX+tr8Kmx/OQ2yYTvZ6eUeLY1kkx4dix4bF+K7UOOQ15UqBcX8tgyPFzllslzt6hRaZaoLgI3En1tOZdgTPQBxmAgHyDs9Lj8xR7GnIR2KlItJSkVDbtKqmth4YEvQouZbaxad75WdPdBK5sL0G21QupYiq7QLA1vDw2LYzAqwCImJRTJPJgpy0SOzaKz2hz0gOdzLsB4vqsGtvuaIQlZRTCMp1x5R3wB/7WSb6TBb8bX+VtBFKiYCp3+p2urLTDZrGJ19Xw8I6B0MGKy2MGEsCgTCWGexApRrHZW5GNP7nQJXT62rXBrbUNXXhlrkJ2Lm7VOjbbIvZwqK8thVF5c2igff/eLsAbzy9EB9/9aPk9eakRgq2Q8PQCNX5YH5GFBbPiBXu2RO2RWnHXykwTlMQfV62LTLF1jCOjNSdWLXrD8LQMfKq4QmEQUBO2GPDtmOYGB6E7esWYdVyA/Jz4rBquQHb1zkLKolFpCkKyJgyASGBPoKgF2B1Rm2Fwdo6e7HyNoOd+Efz5R5oGVr2+mzFqoDrYhli2ApHldW2wpCotxORoihrjdD8rBhkTgkTopi8uJifn9YqMuajQfuVfqy9K8tJhIp34hmKkhYf2VWoajfUUSxLqUezlEAaLzYTHKDFppXOYmi2Rgi41m9TSyMxOlhy3AHrTvfREiPe/6Ichsl6UfEWItBBIBAInsdde+AKUgKawk6oD4NtT7u3NnAkIToYJyutXQ6kfKFzxisIDvQR/ZvJzOJsXTvW3ztT0i53dPXZCWGZLSx6zSwOfn8RO/eW48hpIywUpSiWJSU4KibSJXU+ORE4qefFccCnR2uw9q4s/HihzWkN43jPI3Un1jagoPTdIgwNZIeZMOZRkyr1XakR8zOiFBvZO0ak+XYHFecu48cLbYKgF9+/0TGt6mPmR7sd44ToYFCAomKirfCIUkTVNnLJG56tfzmJ7NQIu7qomSnhoCgKHE2hoq4dYeMCUHK2BRcau5AQY+1d3Hy5W6h7br7cg/Dx1nZUP/zYDOOlbuXaonT1tUVqxkmpXsncb0ZcmOvp3vMzo1XtdEuJt4zEtDACgUDwVjxhD9SgtBPKmi2i2VBKawNHrM5dJArLGmWvJyYsEN9XSNcp//BjC36+ZAqe/+VslFRfcmoTWVTeJGQ8mS0sKs+3O9Uxy+3Qy6XAA84iXUrn45+N2GtSz6ugxAiaovDm04twztiBp++ZgVc++n7U7cRKZdqN0NsZ8RCHmeDVDIaQhyOuKBKq6UnIO6T7Cy8gLyNKVC2b798oV898oqIJM1MiwHGcauERNRFVxwVA55U+vPnUQtS1XHG61g8+r8B/rc4FxwFPv3ZUVKzs06M1uNLdj1xDJCZFB+M/3i5AXnoUtBr5CHVtQycW3xCrelw9pRzpiXRvpR1/23p0YOSmhREIBII3MhB74Oq6wlOOi1KarQZQdKpnpkTKdnCICQtE+bnL+ONfT9rpkfAp3hQFVNe3Y3rSBHRdNTs5y4B0KZFSCvzECJ3sjr+rpUlyzys/Nw5aCkiZGAqKpvDW+kU4Xqa+v/dQrC09hbdf31iBOMwEr2QoFId5PK1IyDuk99+SikdePiTZv3Hzw3n4tqRBtE6ptKYVLz4yB1qKUi08UlrdqjqiarsAoGkKPSYWL31wwulaLSwLDc3glY/EjSrvHG7cfgylNa3IS4/Cb1fn4XJnL1raemSvITYsUPbvjnh6nByNkFJ6H2/sXW01MpLTwqQYSYsNAoEw+nDHHgx0XSE217lyTqXdao5loaFpWac6wJcBQ9OSDnXW1HB8dqzGSY8EgJDx9uP5y/jyUg8YBi7t0CvZyK1PLnDS8ZA7nxJqnpfp2sfRUBfQGMq1JWF0QRxmgtcxlIrDwMAUCaUcBw1D4dsB9G9svtyDqPEB6Os1wcQqR51nGaJwY1asy+qWfH1yYVmj6LnTEvQoqb6k+j54pe3f/XI2EmNC8NE+afGRGSmRLjlb1nFSr1gO2I8PAEknz5X0PldajYyGtDBbzBbWJYVyAoFAGAxctduDsa5w55xKu9WKXSI4yDrU44N9ER8Z5HSteelRmJMZLWSRzc+KUcwCs92hV2MjT1Q0Sq5pHM+nFld295XWE0O9tiSMLojoF8HrGAohD0eUhD14MSgeJWGLgfZvnBQVDNbWGMpc36aVOQgJ0ApiGa4id61qexfb3gdD05gQ6g8fDS0rChbgy7jkMFM0jY6uPslz2o6T0/iUGNFx1Yx/nWoQFSFRm97HO9xKOxsTwwMxJyNqVAl08PVua14+jHf2lOJA0QW8s6cUa14+jPPNXYoiMQQCgeBJXLHbg7GuGMg5HQUtbZETw1ISg7L0m5GXHu0k5nnbvEQ7Ec7LHb2I1Mtnednu0KuxkRdbuiXXNI7ncxW556UWT30HpATPCKMbssNM8CqGSsjDETWpPzxqopQD7d/ouFOqdH3mfvc78Mpdq5q2Dbb3YbdQ4YDIcQFO4iPpkydAw1CgOUDKPont3Js5Dhu2HUN2aoQgNGZ7zrBQf3AWi/j42NRcHytusI6VTWsrV9L71OxszMmMgR9DjSqBDlfr3QgEAsHTONoGNXZ7MNYVQ7FWkXofx7Lw0zJOraB4W6OBdRf6k6+rEaLzQUigj1NbS9v2TGp26NWqfBeWNYn+bbhLkzwxXiSde2xDtgQIXoUrO32eRi6qa4uaKKVt+yYxNAyN2elR+PFCm9PrYjvarlyfq8hda1lt6zUHV/o+ZhmiEDUh0KnlAcey0Af5Qh/sh4nhOkyLC8XEcB30wX7Q63xFr1tq517joxGUwgtKjNi4/RiKq1rQb7KguKoFz2z7Bt+VGqHVMqpacFnYa62tOOtn8s9Aq6GFtlq2LcAcjb3SzoYGo0uoQ6tlcLxMebFBIu4EAmEwkLINABTt4mCsK4ZrrWL7HHbuLcfB7y+i18w6ZfjEhOmQk2a1aWHjAjAzJcKu5aFteyY1O/Rq1jQ5KZG4Y8Fk1Zl6Q4na8fLxEd855gPxJMNq7EJ2mAlehaeFndxBztFxJUpJWTjJWqO1d2XheJkRv11t3SltutyDxOhgZKfIKzsqXZ+7SKlRMjQNM2vB+vtm4vcfnnC6Dz4dfMWyZNHaIr7+KC1+nN2ugJQYh9TO/aaVOXbHigmanDN2YvGMWBxxoXb8XycvImtqGPQ6X2hpCq/95kZ8U9yAxtZuoQXYZ9/UXlPkvF6H7EpGwmiApinUeEChnEAgEFxFTVaXnF0cjHXFcKxV1DwHQLy1k1jLQ/7/Nz+chzN1bahr6pK1YxqKwnMrc6zBZjGVbwou2UUpDZjBEJVUVUoVocMXBefho6Wddo7VioIONUSAc+ggDjPBqxiIANdQ4EorC+5authb6xfhm+J61DV32/VDLCgxgqKswlrzs2IwPzMaPT39w5LCK+kApkVCQ9NobuuWSK2mYTGzMCs4iGrGS84gbd5lVeCkKEg+n0lRVmPoSu14Y2sPPvumFvcuS0Fd4xVxIZUHcjApIgis2f4exlKPRJblkDjMgSwCgTA2GaizMhjriuFYq5g5Dr97vxDJ8eMwPsQPlzt6UVbbavccANdaHhaUGHGiognvPLMYWoWgNgDo/LTia4FrO+lq7KJUarOWoWGysIOS8syP1/ufl2NanP3z4zjreE2ZOA4btx8Dx9kHITQMNSylgnKQ9PChhzjMBK9DqVfhcCoOuxpV5lgWvloGkfpAVNd32vVDBK7vlOalD91EK4WUoTNzHJ59qwAWlnXq68jQtNuRVUcFayWDVHy2BRlJYSg+I1/37UrteKQ+AMVnWnC1z+z2gmy4x20oMJksyE2Lwq693hnIIhAIoxNP1QoPxrpiKNcqWi2Ds3XtQlaabRYUH4Cvrm/H5c5el7pzaBgazz6QA87CoU9h/uZ1RNSsBeTqgKV2yTeuyMbBojocO91g97qnFKy1DC2ZRZaXEYVPj9YIazNb2+8zgJ7fgwFR+x4eiMNM8Dq8Od3VnaiyyWTB5JgQvPrxDyPC2eCvQ6tlEBDgg0M/XBSu2zEN2p3IqlhkNDctUvF95xo6sfKnqfjNH49KLk7UjI8hUY8/f1Up/PfpqhacqBBvq+XuPSoxEtOodP4abFqZ6yT85Q2BLAKBMDpxJatLjsFYVwzlWoWiKXAchLZQPLap1ld6TKipl39WzZd78O+LpiBqQuA12xsFmuMUr9UxcOHuWkAuW+CF94uw+eE8fFvSIOq4DiTlmaJpnJPIItu4IhvnjB1CirrjPS3Mihn2UkG76/LS9PDRDnGYCV6JN6e7uhJVFhwjhd6J3uRs2Dq0Wg2D6voO2eNdiazKRUY33DcTeelRTkaLZ1JUMMbrfBUXJ3Ljs/auLHx6tAYMff2/x4X4oa65y2P3qHT/IzWNSsPQSI4P9cpAFoFAGJ14slZ4MNYVQ7VWuWpi8cpH38umWnd09SExJhgokj7PpKhgTIsNwdSYYPj7a8FxQEfHVcXP90TgQk22gOMOOP/6QIPWahx1sZKvc8ZOcNOjvaZUcLg6yRCIw0zwcrzxB68mqizuGEVix4bF+K7U6LXOhqNDa0jUK7aVUrNY4QMHJtZagyVmtF768ASe/+VsHC8zInWS3q7GiKGvGaR+s+LiRHR8ooORMXkCis9eQmJMCG6blyiksWVOCUNOWgQOFtV55B6ldo1HQxqVhqEFRVpvC2QRCITRx2DVH3uawVyrqHU087MnwmRmFUtnentNAAA/P63qa2A5IEGFM05RFHx9NaJ2UI3TbasxYstAgtbuOurAddvvLaWCnsq4ILgOcZgJBDeQiyorOUbzMqO91tlwjMK62qvREcfAQVykDr9dnSc4q3afbWHR0dWHVx6fjx9+bBZqjO5ZlgINQ9kZJKXFidP4cEBT+1WcrWvHpfarQh25hqFxx42TETNBh/fcrM9Vu2s8lGlUg53y7Y2BLAKBMDrxFmdluFDjJDVf7oGWocHJdOdQ86zEbAdF06hu6MTkmFDFtcDhk/WSdlBNtoCtxogtA0l5dtdRd7T93lAq6A2dZMYqxGEmEAaAmOOgyjHivG8nUSwKa9urcetfTjq3lXowV9IASwUOxNpbABB6RK5/4xtRQ6/X+bp8T7bjo9f54u6bklFY3oioCYF2xg5wL2Ve7a7xUKVRjeSUbwKBQBBjKGqFvVlXgqIoxVTrhOhgsBbW5WdFUYCvrwYWDugzWURtB7+myU6NkFwLbFyRjQ8+r5AV7HJFY8Tx9YGkPLvjqIvZfm8oFfT2TjKjGYobzWE5D8CyHFpb5esbCVZCQvwBqKuHGa1otQyOnDbinT2lksesWm7wyvoSX18N3vuiEgeKLjj9LS89CrfNS8SP5y+jvqUbk6KCMcsQBZ2/Bt1dfaLns1AU1rx8WHJS3/xwntDCgaKAF9bMcRI0sT3eU4EGqYWR1dmESwsypXvkr1nu2fLk58RhxbJk9PWZ3bovuQCFJ1K+ye97bEHGe2wxUsbb044tH2QsLG/yuiCj7bWlJurx9GtHJW3NtnULoXFYzjt2orB9bhRNg6UoHC+ztpiKGB+Alz48IRow9tHQ2PfdeVzu6EVQoA9um5d4Tanb2lYqzxCFo8X1+Nv+KtFrs7XdcnZKTCWbv4b4sIHZLyVbvW3dIhSNEG0OWVsv86xGym98uNDrdaCvtUcTg+wwEwgeZCTXl8hFYQtKjPiu1Ij1987E0tx4mEwWBAT4SJ7L1Zoh/v+HQshC6v2uRo9d2TUeijQqopxJIBBGO54MNHuzroTjteWlR0nu7kplQfGOsW1AIDHG6gxe7Tfj11uPWEWvJILVZguL53cVYsuT86HV0MicGgZDoh6fHq3Ble5+oa1U0+Ue9PWLj4uj7ZbbAdcyFCbekorUhPGqHFdXgifKaf3ytt+bMhC8uZPMaIY4zASCBxnJ9SVKqT4MTSMxJgQ9Pf2K53K1ZmjCOH80tnbLHj9UgQa1xtCV4Ehfn3lQ06iIciaBQCC4hjcHGR2vjS9f2vywtQ9z8+UeTIqytmT009LgWA4mh+lfNCBQBOzaW471983Eq4/Pw7clRsVg9XeljWhq7cHBojqhpOpYcQOOnqoHAMxMCceJimbJe3G03VLBadYMVUFrV0uPeGd3cnSwrJPp+Pzc+ayhwhvSw8ca9HBfAIEwmuCdTg0j/tPy9voSPgrreP22UWw1qAkcxEfqMDkmBKuWG7Di5lRMjgmRPd7bAg2uBkc89WzFUOu8y6UbEQgEAo9Wy8DXVwOtdnTmpWi1DArLmxSDjMNx/1LXVlBixMbtx1Bc1YKlefGYkxmN42WNeP+LShw5bYSFokDR1+2LXEDg9x+ewNV+C25ICVcMVtsGt/k2VrfNSwRFWe3XjJRIlNW2Sr5fynabTBb09Zmd1kNSrwPXgwBrXj6Md/aU4kDRBbyzpxRrXj6M881ddvdP0TQsFIUjp41474tKHCluAMBhXmY0VixLxvyMKDAcK+n4uvJZw4XcsyJ4FrLDTCB4mJGs6OmpVB81whR56dEI0NLXIqNmZKdEKLbD8Caj4Kr4xmCmUY3kzAYCgeA9eOuOmqfx5vIpuWvjOCAo0AeX2nux/o1jkqnkGoZSzDoqqb6Erh4TEqJDAEi3VXQUxOJLqjKSwnDHjZMR4MuAoa+rZ1MUkJZgbQ3Z0dXvUdutNivAE+n23pyBQBh6hj88QiCMMmwdo1XLDcjPicOq5QZsX7dowMIVQwHHskKvXTVRWCmUdlQ1gF1kVM0OrLfteri6a+ypZ+vISM9sIBAIw4/ZwnrFjtpQzPOeCDIO1nXKXRtFAbfNS8QrH30v6ciZOfVlUW1XejF9Spis7TAk6p12kJsu9+CpX9yA+DAdaA6CHcxLj8ILa+Ygc2oYtBoa2SnhoCkKGh/x/TlXnqErWQFKzq5ZIXbszRkIhOGB7DATCIOAWH0JwKtUUoPquHhKnGKg1+jqjqqSGIjJwuLb041etevh7q7xYIz/SM5sIBAIw0/XVfOw7qgN5e72QNrzDPZ1yl2bWoHMhVkxqlspFZ9pwYb7Z+KlD+xVsrUaGv/xUC7OXmxHWoLVaeZNSGJ0MMBeD/bGh+uwY8Ni1DZ0OAmIvf95BTbcNxMJ0cGgOatddOcZqs0KWDwjFkcGqOnhzRkIhOGBOMwEwiAiplI5WIsAb0ylc1WYQux4s4XDucYrXqlkKnXNwyG+QZQzCQSCu1AUcLxs+IQDh0Ox2p0g41Bdp9S1qRXI5KZHq+55fENyOPx8GUFQrLG1BzlpEYiPDEbB6QZcbOlC5tQw3L00GZ8erUFReROypobDbLn+bDiWBUtRTq2pAOt356UPT+D5X85Gb58ZkyKD3LLparMCAAzY2SVlTgRHiMNMILiI1A6u2OtDZVy9uT0G4PqOqu3xFooaEXVE3pDu7C3OO4FAGFlQFIWaYdxRG456UXeCjEN1nVLXNicjGt+WNOBgkXTNMe/IyQUE1t6VhU+P1oChaaRMGg8/Xw3WvX4U0+LGYWZKBGhQeOyVw6Lvu2XuJHy0rxIrbkkV7lVNp4aS6ksorW7Foz/LtLsm25rnT76uxmM/yxR9hq5kBQzU2R1IBgJhdEJqmAkElTgpLl5TpaQ1jOjr/I7vQOpo1DJUn8PDBwcGIOys+nNIHZHrEOVMAoHgChzHWdNsZRisHbXhnOdd0ZUY6usUuzb2mkCmGr0K3ul+a/0iPHhbGhZnx+HupcnY/HAejhU3oKi8SXCcL7X14NkHcvDjhTZMix+H3/9JfKd4619OIsBXi29LGlBY3gg/P61Qg6ymZjotYTy+K20Qzu1Y82yYrEefySJZ86xGN8RTmh6D2dmCMPIgO8wEggqkdnDLay9jcfZEvPB+kfPO7soc9Jssg57iNtAevK7UPNulfRs7kRgdbDXeg5T2TeqI1OOp2nUCgTD24DggNy1qWDoVeMM8r+a+hus6Ha/NlVRyjmVBA1iQFYMZyWZU1bXhQFEdEmNCcNu8RCHF+oFbU6GlKLzzzBIcOXVRdj3xfWUz/u/iqUhL1ONfp+pRU9+JmSnhSIgJBoqk7yNSHwCO43C+8QoAq7M8JzPaqeb5b/ursGllDuJERFLVZgV4QtODlDkRbCEOM4GgArEdXIoCbp2b4DTZA9d2dncV4tUn5oGiIJkS6wnj6q4Rd7XmWSposGvv4KV9kzoiZbyxdp1AIIw8dP6aYREOHCnzvLdcpzuOnMXEovlyDw6fuIjgQB8UV7Xgz19VgqFtxpZl4aOlcaGxS/bzm1p7kJ8bh6deOyp8Tw6euIAXH5kLDUNLBlwMiXr8eV8lstMiBLVvqfXT5l3S6e1qSo885eySMicCD3GYCQQFpHZw1ahVnj7bIhwnRkL0wI2rO0bcnZrn4agxI3VE8nh77TqBQBg5aBh6WHbURso8703X6aojp2EoTIkNwZN3ZuHY6QacM3ZidkYUctOiQHOcMLaq1hPRQfjzVz/aPQOOA/Ycqcbau7Kw9S8nJWumKy+04fGfZ+H7yhZVat9yGXhKz9mTzu5wf/cIww+pYSYQFJDawR0f4qeoVlnX1IUJof6if9MwNGamRA54InanXsfVmufhrDEjdUTSDHXtOoFAGN0MVq94JUbKPO9t16mkV2GnvfJ5BY6dbkBOWiTuX5aMpbPiEarzsRtbNeuJjKQwnD7b4vS3ghIjjhU3YOuTC/DQcoNozfSzD+TAh6Gw8qdpqtS+aXrgz5NoehA8AdlhJhAUkIq4Xu7oRebUMNn3xkUGYVJ0ML4pbhCNuJ4zdiBlYuiAJ3JX6nXcqXl2pf+hp+toSR2ROAOtXScQCAQphnrOUDvPD7dWw2DZo8G4L6UMpJRJ40QdY7n1xMYV2Sg5e0lyl7agxAidvxYP/jQVJjOHstpWHDpRB0OiHitvTYOGAlizBeN1PkiMCVGl9k0geAOqHObGxkbs3LkTZWVlqKysRE9PDz788EPk5ubaHdff348PPvgAu3fvRn19PXQ6HQwGAx599FGkp6e7fD4AuPfee1FYWOj0+s0334wtW7bYvdbd3Y0tW7Zg37596OzsRFJSEh599FEsXrxY1cMgEMSQSsMqq23F3UuT5Wt2Jk/A/xyosutvGKkPgCFRj0+P1kDnr0Va/LgBX6MrRtydmmd1aVrBOHX2Ek5UNHu8jpbUETnjDUI5BAKB4Cnk5nlv0mrwpD0azPtSykDasWExQnU+Tu8TW09YrysSfj40jJfkd4YnRQXD1G+ByWRBWvw4pCeMd3pGpn4zclIi8N4wiMwRCO6gymE+f/48Pv/8c6SmpmLWrFk4dOiQ6HH/+Z//id27d2P16tWYNWsW2trasGPHDvziF7/AJ598gqSkJJfOxzNp0iT8/ve/t3tt3DhnJ+Oxxx5DeXk5nnrqKcTGxuKTTz7BY489hrfeegsLFixQc6sEgihiEVeOAz77phYbV2Q7qWRrGBqbVuagpa0HBSVGfFdqRFqCHuOC/QSxDY4DVi03eCyCqtaIu1PzrKZ2KzE6BBu3HxM+bzDqaInxvI63CNAQCASCJ3Gc571Jq8GTO8GDeV9qMpCOlxmxdFa86N+l1hP9vaxLddxyz8gTStYEwlChymHOzs5GQUEBAODAgQOiDq7JZMLevXtx66234sknnxReNxgMyM/Px5dffonHH39c9fls8fPzw/Tp02WP+frrr/Htt9/ijTfeQH5+PgBg1qxZqKurw0svvUQcZsKAkNvB1TKU5M6umeOEHWhH4a/BiqAqnc/q/Ea6LFwiZ9x4QQ9b2zaYYmAE7xKgIRAIhMFiOAQnHRmMneDBvC81GUi1DZ2gFGquxeyHpxxdUm5FGEmocphpWlkbjKZpUBSFoKAgu9d1Oh0AwMfHx+5YT7N//34EBQXZpV9TFIU77rgDmzZtwtmzZ4UdbgLBHaQirqwZkju7Gpr2uggqRdPouNInqWYpdV2iaVoxwciYHIaPv6pEQYnR6bNGcx3tcNfSASRCTyAQRjfeoNUwGDvBg31fajKQEqKD3bIPnnR0SbkVYaTgMdEvhmFwzz334K9//Stmz54tpGS/8sormDBhAm6//Xa3z11bW4vs7Gx0d3cjNjYWt99+O1atWgWtViscc+bMGSQlJTk549OmTQMAVFVVueUwUxQQEiKuckywR6OxxkLJ87InJUCLHRsW43jZ9ch0bloUdP4aSSXKwaS9qx8bth1DdmqEU211+uQJiBgXgOBArew5luXFg2Gs4/36/zsl6izznDN24ubZkyRTgynKGtziOG5EGEmzhUXXVTOOlhhR09CJxGEez6H6fpHf99iCjPfYwlvHm6Yp1BqVtRrkbMxAae/qV64FdvG5DcV9zTJEyWYg5RqiwDDMgMZ8WV78iLLfYxlv/Y17C0oC9x5VyV6/fj10Oh0ef/xxsNciTHFxcfjwww8RERHh1jlnzJiBm2++GYmJiejp6cGBAwfw2muvoaysDG+++aZwXHt7OyZNmuT0/pCQEOHvBMJwoGFohOp8sHTW8BsWigKOl1mj2lK11auWG7B0VrzsNdr+LdHNKDbveB4v8w7HUw1mC4vK8+3YvOu43SJk195ybFqZi+T4UNFrH8yggDd9vwgEAsGTcBznto1Rg9LcbGszxbCtBXblEgb7vgBA56/BppW5TvZKw9DY9GAuQgKdBb9cheNAspgIYwKPOsw7duzAzp078eSTT2L69Oloa2vDu+++i4ceegh/+tOfEBsb6/I5165da/fvhQsXYsKECXjrrbdw4sQJzJw5U/ibXC2GUp2GFBwHdHRcdeu9Yw0+akWel/fi66tBTf31qDbHwam2urahE1evmtDXZ5Y9Fz/e2SkR2CWjdDkzJQLt7fbfCakUt117h17ExRUsFOW0+ACsi6bNu45ba86463/j694Ky5uGXdl1oJDf99iCjPfYwpvHW8nGZKdEOtkYJdTOzY42Uwy1NtMRd2ynq8SFBUqmTlMAzGaLV445wfN482/cG9DrdbK7zB7bxqmursaWLVuwdu1arF69Gjk5Objpppvw7rvv4sqVK3a7wQOFT+8+deqU8FpoaKjoLnJHRweA6zvNBMJYZjCUlfk6WsedVds6WkeUxE7MXhiw1moZFJY3KdacabXWtCc+KLDm5cN4Z08pDhRdwDt7SrHm5cM439wFahC0HAgEAmG0oaEoPLdS3MasvSsLHV19Ls2nrszNg9mNwB3b6Socy4LhWMzPiMKKZcmYnxEFhmO9KmCr1TLw9dUItpNA8EY8tsNcWVkJjuNgMBjsXg8KCkJ8fDyqq6s99VFCurdtvXJSUhL++c9/gmVZu9erqqoAAFOnTvXY5xMII5XBUFZ2VQDEG0Rc3MHVvsfeoOyqBm8QLyMQCAQpOJbFxHAdnv/lbJRUXxI0NwyJenx6tAZF5U0uzaeuzM2D2Y1gKFWivXFu96be2gSCEh7b4ggPDwcAlJSU2L3e3t6Oc+fOuV3DLMaePXsAAJmZmcJr+fn56OzsdGpRtXv3biQkJBCFbALhGoMR1XYliq3W8aTpgUfXPYkrOw2u7kYPBxRNw0JROHLaiPe+qMSR00ZYKIrsfBMIBK9Cq2XwXWkjntn2DYqrWtBvsqC4qgUbtx9DQYnRpfnUnbl5MHeCR8IO8GBAMrAIIw3VO8z79u0DcN0hLioqQltbG/z9/bFgwQLccMMNSEtLw9atW9HT04OsrCy0tbVh586duHr1Ku69916XzgcAJ06cwNtvv42f/OQniImJQU9PDw4ePIh//OMfWLp0KWbMmCGcb8GCBcjNzcWzzz6L9vZ2xMbGYvfu3fj++++xbdu2ATwiAsE7cXdncDCj2mquYzBT3AYTV3YafH01Lu1GDzWD0SaFQCAQBgM+yCqmucGjdj51NVMIGJqdYG/cAR5MRkoGFoHAo9ph/tWvfmX379dffx0AEBMTg0OHDoFhGLz//vt4++238emnn2LHjh0ICgpCSkoKPv74Y2RlZbl0PgAICwsDALz22mtoa2sDTdNISEjAhg0bnBxwiqKwbds2/OEPf8CWLVvQ2dmJpKQkvPHGG1i0aJHa2yQQvB5PpDENZ+/DwUxxG2zU9j329qAAWawQCISRgifnU3fPRfoFew53y7JI+RBhOKE4ogcvC8tyaG3tGu7LGBGMZgU+b5mopXYGNQw95DuDAxlv2ftYmYP4MO/d4bQGLKC402ChKKx5+bBkUGDbuoXQDMP0q9UyOHLaiHf2lEoes2q5wWmxMpp/3wRnyHiPLbx9vD05n3rr3DzUDNeY+/pq8N4XlThQdEHymPycOKxYloy+PvOo6jYxnHj7b3y40et1sqWApEiAQJDB2+o8R6K6tBi2KW6rlhuQnxOHVcsN2L5ukVc7y4D6mrOhUEB1h5FaQ04gEMYunpxPvXVuHiu4sstPap0J3gLZYVaA7DCrZ7RFr7xpNxdwf2dwsPDUeHvL7v1goHY3eighO8wENZDxHluMhPHm59OiikZhpzE7xb351HFutu5aRsJHQ8Pc71o/5ZHKcI652l1+peO2r1sEhvPeALs3MRJ+48MJ2WEmENzE23ZzR+vOoMlkQV+fedQ5y4B3KqDyNeSOuys83lxDTiAQxjocxgf7YcrEUIwP9gPgniEW5ubMaNy3LAXjg/3w1/1VOFrcQLoFDAFqdvlHQrcJwtjBY32YCYTRhDf2CvZmIanRvEvsCbztmagVLyMQCARvYDAyviiaRnVDJ+kWMAyoUR6ntd7dbYIwtiAhNAJBBG/czfXGnUGzhfWqGm+COkZyDTmBQBh7DEbGl7dlkbmDVsvA11czIndZlTKwBnOTYCQ/N8LwQHaYCQQRvHU315t2Bs0WFpXn27F513ESnR+BkDYpBAJhJDAYGV/emEXmCp5oL+ktSD3fwWhBOZqeG2FoIQ4zgSCCt/YKVpPGNFR0XTU7OcsA6eU70vDGxSCBQCDwqM34ciU1dzDOOVRIpaePxmC1JzcJxtJzI3gekjdJIEjgra0nvEFISqtlcLxMOTo/ktKdSIoWgUAgeB+DkfHlrVlkahgNqeRq8WT50Fh6bgTPQ3aYCQQJvGk3V4yh3Bl0FPWiaQo1Xhidt71OAKqEyEiKFoFAIHgvg5Hx5a1ZZEqoSSUvqmjEjdNj0NtrGuKrGxwGUj7ErwkoisLhk/UjNgWfMPwQh5lAkGGs13lKOZMWDkj0oui87XUCQOaUMBSfbUFtvbwDTFK0CAQCwfsZDP0Ob9IEUYuaVPKahk5ETdAhNixwVAV+B1KrPDczesSm4BO8A+IwEwgqcDXiOBraLCk5k3mGaOzaO/zRedvrzE6NwJzMaKzd8rUqB1gpRYvUYRMIBMLwMxgZXwM553DZeDWp5BHjA/C/h86g8nzbmAz8iq1dGlu7kTk1TPZ93pqCT/AOSA0zgeBBKJoeNW2WlJxJC8di08rcYa/x5q/TwrK4bV4itv7lpKoaJa2WQWF506iqwyYQCITRymDod7h6zuG28WraSxoS9SirbZW0e6Ndq0Ns7VJW2wpDot6r2nISRhZkh5lA8BCjKb1XVcuNskbk58QNa4237XUaEvUorWlVXaM0klVSCQQCYawyGE6NmnN6i42XSyVfe1cWPj1aI5SN8XZvXmY0+kwWu/KqWYYo6PxHlxsgtXbhOODTozVYe1eWU1Ddm1PwCd7D6PqlEAjDyGhK71XjTNY2dELD0EJ0fjhqvG2vc3yIHxpbu2WPt3WAR7JKKoFAIBCGFm+x8bap5EUVjahp6ETE+AAYEvX49GgNCkqMdsdTAGqNndi8y9nR37QyF3FhgSMmmK+E3NqFfy6vPjEP5bWtqG3wLiFXgncz8vJECQQvZLSl96pxJhOig4VorMlkQV+fecjTmWyv83JHLyL1gbLH2zrAalLbSIoWgUAgELzNxvOp5DdOj8GcjGgUV7Vg4/Zjzs4yBWRMCXNylvlr3rzr+Khqp6S0dikoMaKsphU3To8ZtrachJEJcZgJBA+gNr2Xpoend7OrqHEmc9Iih10t3PY63alR8tZe2wQCgUDwHrzVxvf2mhAbFojK822i9jgjydoxwlsc/cFGbSC8t9c0LEF+wsiFOMwEggcYjem9Ss5kkL92mK7MHv46GZoWapTUOsC2qW2rlhuQnxOHVcsN2L5uEeLDRk7NOYFAIIx2hlOwypttvJytXvnTNNTWe5+jP5iQQDhhMKA4UuEuC8tyaG3tGu7LGBGEhPgDADo6rg7zlQwPForCmpcPS7ZZ2rZuITQj7Odm7WUIUVGv4CBfAN4x3rbXScGaglZ8tgXnXKhRGg2twAaTsf77HmuQ8R5bePN48z11C8ubBMGqnNSIIe8x7M02XspW+2lpHCluwDt7SiXfu2q5QRDDHC3IrV3GaiDcm3/j3oBer5MNHBGHWQHiMKtnrP8YpRQ0+ajmSNmxFHMcxV7zxvG2vU4AxAH2IN443oTBg4z32MJbx1vWrg5x94mRYOPFbLU3O/qDHagmgfDreOtv3FsgDvMAIQ6zesiPcWRHNV2N4pPxHluQ8R5bkPEeW3jreCs5e9vXLQLDDZ1tHYk2Xs7R3/RgLuImDL1KtrdkDYwlvPU37i0Qh3mAEIdZPeTHeJ2RFtV0J4pPxlsdrn4XvPW7Q8Z7bEHGe2zhjeOt1TI4ctrolenE3jpPSyHm6PN9mLu7+ob8Wrwla2As4Y2/cW9CyWEmol+EUcdwCoPwDFebJXdR6i85mtpODBUUTcNCUThy2oj3vqjEkdNGWCgKFC0+7bp6PIFAIIxmvFWZGhh5Np5vQzU/I0popxSq85FUkx5MyHqDMBLRDPcFEAiegk/xKThtJCk+LqDVMig4bVRsOzHaREEGE6kI+nuflYtG0F09nkAgEEY73qxMPVIZbhtO1huEkQrZuiCMCniHY83Lh/HOnlIcKLqAd/aUYs3Lh3G+uYvs0sngzVH8kYqrEXQScScQCAR71PbUJY7VyIGsNwgjFeJFEEYFxOFwn9EWxR/ulHytlkFheZNiBJ2/PlePJxAIhLEC6ak7uhht6w3C2IE4zIQRD3E4BsZoieJ7Sw2wqxF0EnEnEAgEcTiWRXy4DtvXLcKq5Qbk58Rh1XIDtq9b5BVtnAiuMVrWG4SxB3GYCSMe4nBYGcjO6kiP4ntTSr6rEXQScScQCJ5guLNrBgsxwSqGY4mzPEIZ6esNwtiEiH4RRjxj3eHwhNiZbRR/JPWX5FFKyd++bhGGagnJR9Df+6xcsneobQTd1eMJBALBlrEieEnmwNHBSF9vEMYmpA+zAqQPs3qGs8ebhaKw5uXDkg7HtnULoRmFX/XB6Geotr+kt/T088ZenbLjsjLHKZXQ1eOHA28Zb8LQQMZ7ZOApG0DGe+zhDWM+0vpZj2S8Yby9GaU+zMRhVoA4zOoZzh/jSHA4BgOlQMH2dYvAcINz394y+fr6avDeF5U4UHRB8pj8nDisWJaMvj7zkF2XddcHqiPorh4/1HjLeBOGBjLeIwNP2QAy3mMPMuZjCzLe8ig5zCQlmzAqkEvx8dXSYCiAZalRFcEk/QyteGtKPseyYADMz4jCjdOjhQi6VIjS1eMJBMLYhtgAAoFAGBqI6Bdh1OAkDJIZDYDD0eKGYVVNHiyI2JkVb1fdNJks6Oszq/58V48nEAhjE2IDCAQCYWggO8yEUYfJZJFM0X7vs3K3a3u9DW/dWR0OeNVNqZR8LUWBVJ8QCITRBLEBBAKBMDSMjq02AsEBJdVk8yhYP3j7zupQQnp1EgiEsQaxAQQCgTA0EIeZMOrQahkUljcp1nWNhl6VpJ/hdUivTgKBMNYgNoBAIBAGH5KSTRh1qK3runF69BBd0eBB+hk6Q3ZTCATCWIHYgNEJabdEIHgXqhzmxsZG7Ny5E2VlZaisrERPTw8+/PBD5Obm2h3X39+PDz74ALt370Z9fT10Oh0MBgMeffRRpKenu3w+nmPHjuGPf/wjKisrERgYiPz8fDz11FMIDrav3enu7saWLVuwb98+dHZ2IikpCY8++igWL17s6nMhjGDGWl0XUVcmEAiEsQuxAaMHa3tBDgWnjaht6ERCdLA17Z6iSPDDBUjAgeBpVKVknz9/Hp9//jkCAgIwa9YsyeP+8z//E3/4wx+wZMkSbN++HRs3boTRaMQvfvELnD171uXzAcDx48exevVqREZG4q233sL69etx6NAhrF69GqzD5PHYY49h7969+NWvfoUdO3YgKSkJjz32GL7++ms1t0kYJYzVui6irkwgEAhjF2IDRja8WOmalw/jnT2lOFB0Ae/sKcWalw/jQksXND4kKVQJiqZhoSgcOW0cld1RCMOHql9fdnY2CgoKAAAHDhzAoUOHnI4xmUzYu3cvbr31Vjz55JPC6waDAfn5+fjyyy/x+OOPqz4fzyuvvIIpU6Zg69atoK994cPCwrBy5Urs27cPN998MwDg66+/xrfffos33ngD+fn5AIBZs2ahrq4OL730EhYsWKDmVgmjBKKaTCAQCAQCYaQgJ1a6eVchtj65AL5amuw2SzAWuqMQhg9VIRdaRWSGpmlQFIWgoCC713U6HQDAx8fHpfMBQFNTE0pKSrB8+XK798yZMwcRERH46quvhNf279+PoKAgu/RriqJwxx13oKamxm6HmzD6IarJBAKBQCAQRgJqxEoLSo144++ncb65i+yYijAWuqMQhg+P5XcwDIN77rkHf/3rXzF79mzMmjULbW1teOWVVzBhwgTcfvvtLp+zqqoKADBlyhSnv02dOhVnzpwR/n3mzBkkJSU5OePTpk0TzpWUlOTyNVAUEBLi7/L7xiIajVV12tue17K8eFDXdpTJprLn8NbxJgwOZLzHFmS8xxZkvIcXmqZQa5QXK21s7UFwoA+ef68QOzYsRugAx2o0jTlFAfu+Oy8bcCiqaMTSWfFjdh04msZ7MFBqKODRgoj169dDp9Ph8ccfF+qL4+Li8OGHHyIiIsLl87W3twMAQkJCnP4WEhKC8vJyu2MnTZokepztuQhjD44DSb8mEAgEAmGMQ1HwygA6x3FIVBArjdQHoLiqBWYLi+NlxjHt/DlCURRqFLqj1DZ0CmNPILiKRx3mHTt2YOfOnXjyyScxffp0tLW14d1338VDDz2EP/3pT4iNjXXrvJSE2+/4utRxSn+Tg+OAjo6rbr13rMFHrcjzGhuQ8R5bkPEeW5DxHluM9vHm1acLy5u8Vn06OyUCu/aWi+6SahgahkQ9/vxVJQCr83f1qgl9fWbF80opRo+mMddqGSREKXdH6erqG7OieKNpvAcDvV4nu8vssSKI6upqbNmyBWvXrsXq1auRk5ODm266Ce+++y6uXLmCN9980+VzhoaGAhDfHe7o6LDbeQ4NDZU8DhDfpSYQCAQCgUAgjF7k1Ke9qR6YFyt17PChYWisvSsLnx6tEXaU1bTGHEuK0WO1Owph6PDYr6ayshIcx8FgMNi9HhQUhPj4eFRXV7t8Tr522bZWmaeqqsqutjkpKQnV1dVOrab4OuipU6e6/PkEAoFAIBAIhJHLSBGDshMrvd2AxdlxuHtpMjY/nIdjxQ0oKDECUOf8jZQggSeRCzjw3VEIBHfx2C8mPDwcAFBSUmL3ent7O86dO+dWDXNkZCQMBgP27t1r5wgXFBSgqakJP/nJT4TX8vPz0dnZ6dSiavfu3UhISHBL8ItAIBAIBAKBMDJRoz5dWN4IrZYZ4isTh2NZMByL+RnRuG1eAkqrW7Fx+zE7Z1mN8zdSggSehHRHIQwmqmuY9+3bB+C6Q1xUVIS2tjb4+/tjwYIFuOGGG5CWloatW7eip6cHWVlZaGtrw86dO3H16lXce++9Lp2P56mnnsKDDz6IX//61/j5z3+OpqYmvPrqq8jMzMTSpUuF4xYsWIDc3Fw8++yzaG9vR2xsLHbv3o3vv/8e27Ztc/PxEAgEAoFAIBBGIjRNoVZBDOqcsRM3To8eoitSh6nfjGA/LR77WSYKyxtxztiJSVHByEmNhIaCrPOn1TIoOG1UDBIsyxt9omEcy4IBMD8jCjdOjxbqtkfbfRKGHopTKRfHt2dyJCYmRtjV7ezsxNtvv40DBw7AaDQiKCgIKSkpeOSRR5CVleXy+XiOHDmC119/HZWVlQgMDMSSJUvw9NNPO9Uld3V14Q9/+AO++uordHZ2IikpCY8++iiWLFmi5hZFYVkOra1dbr9/LEEEBcYWZLzHFmS8xxZkvMcWo3W8tVoGR04b8c6eUsljVi03YH5GlNfWt0qJdknh66vBe19U4kDRBclj8nPi8Mi/Z4BluVE35gRxRutv3FPo9TrQtIx4tFqHeaxCHGb1kB/j2IKM99iCjPfYgoz32GI0j7eForDm5cOS6tPb1i2EZhQthdUGCfgd5tE45gRnRvNv3BMoOcyjr+qfQCAQCAQCgUDA2BODUqsYPYpiBATCoOPRPswEAoFAIBAIBIK3YCsG5Wo98EiFDxI4Cn+N1iABgTDYEIeZQCAQCIT/v717D4qq/v84/jq7rF8tbo4XUkwgUSeitBC85OBXA3LIGbHLaE1kZhcNKzW7N+U0OX0ti8o0Qe1iTTPNlOCYZkU1dvGCNpUlw2CA/ExRmgZlcL0Au78/HDY3Dutyc+Hs8/FP42c/ezzse9/Ja/d8zgeAZQXbzaCC8UMCoCsRmAEAABBwbb3BVVt11xt7dYVg+5CgI7r6fYeej8AMAACAgDFsNjW63dq5r1qVR+oUNzj83Dpcw+Db0A4iALaO9x38RWAGAABAQBg2m6pq6lust333sxI9OydFMQNDCS/odLzv0BbcJRsAAAAB0eh2twgtktTY5Do3ziXE6AK879AWBGYAAABcdA6HXcUlx0z3SJbOhZfikqNyOOwX+cxgZbzv0FYEZgAAAFx0NpuhyiN1PuccrK6TzcY2SOg8vO/QVqxhBoIAd4AEAHQ3LpdbcYPDfc6JHRQul4vrY9F5eN+hrfiGGbAww2ZTk2Hou33Vendrqb7bV60mw5Bho/UBAIHV0NB07q7EdvN/k0LsNiUnRPFBLzoV7zu0Fb81AxbVfAfI+S9/q7WbflfRnv/T2k2/a/7L36qqpp7QDAAIuBDD0LNzUlqElxC7Tc/ekyKHwWWx6Hy879AWhtvNFua+uFxu/f13faBPo0eIiOgjSTpx4lSAzwSS1GQYmv/yt6Y3tQix2/T241Nkd7d/ywTqHVyod3Ch3sEl0PU+tx+uVFxyVAer6xQ7KFwpCZcpxBBb+3SRQNe8Owim9x319q1fv1Cfa9ZZwwxYkMNh18591Re8A2TqNYO45AgAEFBul0t2SanXDNJ/Rw/23G+Dr3TQlXjfwV9ckwlYEHeABAD0NA0NTTpzppEPcnFR8b7DhRCYAQviDpAAAABAxxGYAQviDpAAAABAxxGYAYviDpAAAABAx3DTL8Ci3C6XYgaG6u3HpwTFHSABAACAzkZgBiyMO0ACAAAA7UdgBoIAa5UBAACAtmMNMwAAAAAAJgjMAAAAAACYIDADAAAAAGCCwAwAAAAAgAkCMwAAAAAAJgjMAAAAAACYIDADAAAAAGCCwAwAAAAAgAkCMwAAAAAAJgjMAAAAAACYIDADAAAAAGCCwAwAAAAAgAkCMwAAAAAAJgjMAAAAAACYCPFn0tGjR7Vu3Trt379fpaWlcjqd2rBhg8aOHes17+zZs3r//fdVWFiow4cPKzQ0VImJicrJydHVV1/tNffkyZPKzc3Vtm3bVFdXp/j4eOXk5OiGG27wmpedna3i4uIW55SZmanc3Nx2HRMAAAAAgAvxKzBXVVVpy5YtSkhI0Lhx4/TNN9+Yznv++edVWFio+++/X+PGjVNtba3y8vJ0xx13qKCgQPHx8Z65CxYsUElJiZYsWaIhQ4aooKBACxYs0Jo1azRp0iSv48bGxmr58uVeY3379m3x97flmAAAAAAA+OJXYE5OTtbOnTslSUVFRaaBuaGhQZs3b9a0adO0aNEiz3hiYqLS09P1+eef66GHHpIkbd++XTt27NBbb72l9PR0SdK4ceN06NAh/e9//2sRbnv37q3Ro0f7PMe2HhMAAAAAAF/8WsNss114ms1mk2EYCgsL8xoPDQ2VJPXq1csz9tVXXyksLMzrUmnDMDRjxgxVVFTojz/+8Ovkz9cVxwQAAAAABK9Ou+mX3W7XnXfeqYKCAhUVFam+vl6HDh3S0qVL1b9/f2VlZXnmHjhwQPHx8S2C+MiRIyVJZWVlXuOVlZVKTk5WQkKCMjIytHr1ajU0NHjNaesxAQAAAADwxa9Lsv31xBNPKDQ0VA899JBcLpckaejQodqwYYOioqI8844fP67Y2NgWz4+IiPA83iwpKUmZmZm64oor5HQ6VVRUpDfffFP79+/XqlWr2nXMtjAMKSKiT7ueG2xCQuySeL2CBfUOLtQ7uFDv4EK9gw81Dy7U2zfD8P14pwbmvLw8rVu3TosWLdLo0aNVW1ur9evX695779UHH3ygIUOGnHdirZ/Z+Y8tXLjQ67HJkyerf//+WrNmjfbu3asxY8a0+ZgAAAAAAFxIpwXm8vJy5ebm6qmnntLs2bM94xMmTNDkyZO1atUqvfTSS5KkyMhI0298T5w4Iemfb4Vbk5WVpTVr1uiXX37xBOaOHrM1brd04sSpdj032DR/asXrFRyod3Ch3sGFegcX6h18qHlwod6+9esX6vNb5k5bw1xaWiq3263ExESv8bCwMMXExKi8vNwzFh8fr/Lycs9l282a1xmPGDHC59/V/Lzz1yt39JgAAAAAAJyv0wLzwIEDJUm//fab1/jx48d18OBBrzXM6enpqqura7E9VWFhoeLi4rz2azazadMmSdKoUaM67ZgAAAAAAJzP70uyt23bJumfQLxnzx7V1taqT58+mjRpkq677jpdddVVev311+V0OnXttdeqtrZW69at06lTp5Sdne051qRJkzR27Fg988wzOn78uIYMGaLCwkL99NNPWr16tWfe3r17lZ+fr4yMDEVHR8vpdOrrr7/Wxo0bNXXqVCUlJbX5mAB6PofDLpvNkMvlVkNDU6BPBwAAABZluN1utz8Tm7dn+rfo6GjPt7p1dXXKz89XUVGRqqurFRYWpiuvvFIPPvigrr32Wq/n1dfX67XXXtMXX3yhuro6xcfHKycnR2lpaZ45VVVVWrZsmUpLS1VbWyubzaa4uDhlZWUpOztbdru9zcdsK5fLrb//rm/384MJ6yOCSyDqbdhsanS7VVxyTJVH6hQ3OFwpCVEKMQy5/7UcA52L/g4u1Du4UO/gQ82DC/X2rV+/UNlsPm4e7W9gDlYEZv/RjMHlYtfbsNlUVVOvF98tVmPTP+E4xG7Ts3NSFDMwlNDchejv4EK9gwv1Dj7UPLhQb98uFJg7bQ0zAHSlRre7RViWpMYm17lxPvoDAABAJyMwA+j2HA67ikuOtQjLzRqbXCouOSqHw276OAAAANAeBGYA3Z7NZqjySJ3POQer63xeTgMAAAC0FYEZQLfncrkVNzjc55zYQeFyubguGwAAAJ2HwAyg22toaDp3N2y7+f+yQuw2JSdEscUUAAAAOhWBGegmHA67/vOfENbhtiLEMPTsnJQWoTnEbtOz96TIYXA5NgAAADpXSKBPAAh2zXsL79xXzd7CPrhdLsUMDNXbj09RcclRHayuU+ygcKUkXKYQQ7xWAAAA6HQEZiCAWttb+N3PSthb2ITb5ZJdUuo1g/Tf0YPlcrnV0NAkdpMHAABAV+CSbCCA2Fu4fRoamnTmTCNrlgEAANClCMxAgLC3MAAAANC9EZiBAGFvYQAAAKB7IzADAcLewgAAAED3RmAGAoS9hQEAAIDujcAMBBB7CwMAAADdF9tKAQHE3sIAAABA90VgBgKMvYUBAACA7onADHQTrFUGAAAAuhfWMAMAAAAAYILADAAAAACACQIzAAAAAAAmCMwAAAAAAJggMAMAAAAAYILADAAAAACACQIzAAAAAAAmCMwAAAAAAJggMAMAAAAAYILADAAAAACACQIzAAAAAAAmDLfb7Q70SXRnbrdbvEL+MYxz/+X1Cg7UO7hQ7+BCvYML9Q4+1Dy4UG/fDEMyml8ks8cJzAAAAAAAtMQl2QAAAAAAmCAwAwAAAABggsAMAAAAAIAJAjMAAAAAACYIzAAAAAAAmCAwAwAAAABggsAMAAAAAIAJAjMAAAAAACYIzAAAAAAAmCAwAwAAAABggsAMAAAAAIAJAjMAAAAAACYIzAAAAAAAmAgJ9Amg59i9e7fuuusu08e2bt2qYcOGSZKys7NVXFzcYk5mZqZyc3O79BzR+Xbv3q28vDzt27dPDQ0Nio6O1uzZszVz5kzPnB9//FFvvPGGSktLdemllyo9PV1LlixReHh4AM8c7XGhetPf1vDkk0+qoKCg1cd/+OEHDRgwQBL9bQX+1pv+to6SkhK99dZb2rdvn+rr6zV48GBlZWXp7rvvVq9evTzz6G9r8Kfe9Hf7EZjRZkuWLFFycrLX2JAhQ7z+HBsbq+XLl3uN9e3bt8vPDZ2roKBAzzzzjG677TbdfffdcjgcqqioUENDg2fO7t27df/99+uGG27QwoULVVNToxUrVqisrEwfffSRbDYuZOkp/Km3RH9bwYMPPqhZs2Z5jTU2Nmru3LkaOXKkJyzT39bgb70l+tsKysvLNWvWLMXFxenpp59W3759tWvXLuXm5uqPP/7Qyy+/LIn+tgp/6y3R3+1FYEabxcXFafTo0T7n9O7d+4Jz0L1VV1dr6dKlWrRoke677z7P+Pjx473mvfLKKxo+fLhef/11zz+uAwYM0D333KNt27YpMzPzop432sffekv0txUMHTpUQ4cO9Rr78ssvdfr0ad16662eMfrbGvytt0R/W8HWrVt15swZrVy50lP38ePH68iRI9qyZYuWLVsmh8NBf1uEv/WW6O/24qMjAKY++eQTSecu4WnNsWPH9Ntvv2n69Olen0Rff/31ioqK0hdffNHl54nO4U+9YW2ffvqp+vTp4/klmf62tn/XG9YREnLu+7DQ0FCv8bCwMIWEhMhut9PfFuJPvdExBGa02XPPPaeEhAQlJSXpgQce0O+//95iTmVlpZKTk5WQkKCMjAytXr26xWWd6N727NmjYcOG6csvv9SNN96oK6+8UqmpqVqxYoXOnj0rSSorK5MkDR8+vMXzR4wYoQMHDlzUc0b7+VPvZvS39dTU1Oj777/XjTfe6Pmli/62LrN6N6O/e77p06crMjJSS5cu1aFDh1RfX6+ioiIVFBRozpw5stls9LeF+FPvZvR3+3BJNvwWFham2bNnKyUlRZGRkSovL1d+fr5uv/12ffjhhxo1apQkKSkpSZmZmbriiivkdDpVVFSkN998U/v379eqVasC/FPAXzU1NaqpqdGLL76oRx55RPHx8dq1a5fy8/NVXV2tV199VcePH5ckRUREtHh+RESESkpKLvJZo738qbdEf1tVYWGhmpqavC7Ppb+ty6zeEv1tFYMHD9bHH3+snJwcpaWlecbnzZunhQsXSqK/rcSfekv0d0cQmOG3hIQEJSQkeP48ZswYTZkyRdOmTVNubq7ee+89SfJqTkmaPHmy+vfvrzVr1mjv3r0aM2bMRTxrtJfb7dbJkyf12muv6aabbpIkjR07VqdPn9Y777yjhx9+2DPXMAzTY7Q2ju7Hn3rHxMTQ3xa1ceNGxcTEtLiho0R/W1Fr9aa/reHw4cOaN2+eBgwYoFWrViksLEx79uxRXl6eDMPwqjP93fP5W2/6u/24JBsdMmDAAE2cOFG//vqrz3lZWVmSpF9++aXrTwqdIjIyUpI0ceJEr/HU1FRJ0v79+z1zmj+pPt+JEydMP7lG9+RPvVtDf/dse/fuVWVlpW6++Wavcfrbmlqrd2vo757n1Vdf1cmTJ7V27VqlpaVp7NixWrBggR544AHl5eXpzz//pL8txJ96t4b+9g+BGR3mcrn8nsMWBT3HiBEjfD5us9k8a5/M1jqVlZWZro1C9+RPvVtDf/dsn376qex2u2bMmOE1Tn9bU2v1bg393fOUlJQoPj5evXv39hpPTEyUy+VSRUUF/W0h/tS7NfS3f3h10CF//fWXduzYccFb1G/atEmSPOuc0f2lp6dLkrZv3+41vn37dhmGoauvvlqXXXaZEhMTtXnzZq8PTnbu3Kljx44pIyPjop4z2s+fereG/u65nE6ntm3bpokTJyoqKsrrMfrbenzVuzX0d88zcOBAHThwQKdOnfIa//nnnyVJUVFR9LeF+FPv1tDf/mENM/z26KOP6vLLL9dVV12l8PBwVVRUaO3atTp9+rQWL14s6dylXvn5+crIyFB0dLScTqe+/vprbdy4UVOnTlVSUlKAfwr4KzU1VampqXrhhRdUW1ur4cOHa9euXdqwYYNmzZql6OhoSdKSJUs0d+5cLV68WDNnztSxY8e0YsUKjRo1SlOnTg3wTwF/+VNv+tt6tm7dKqfTqVtuucX0cfrbWnzVm/62jrvuuks5OTmaO3euZs+erbCwMO3evVvr16/XhAkTNHLkSEn0t1X4U2/6u2MMt9vtDvRJoGfIz8/Xli1bdPjwYZ06dUqRkZFKSUnR/PnzPZdzVlVVadmyZSotLVVtba1sNpvi4uKUlZWl7Oxs9oLrYZxOp1auXKnPPvtMtbW1GjRokG677Tbde++9XpfvfPfdd1q5cqVKS0t16aWXKi0tTY899hhroHqYC9Wb/raeO+64QxUVFfr+++/lcDhM59Df1uGr3vS3tezYsUP5+fkqKyuT0+lUdHS0MjMzNWfOHF1yySWeefS3NVyo3vR3xxCYAQAAAAAwwRpmAAAAAABMEJgBAAAAADBBYAYAAAAAwASBGQAAAAAAEwRmAAAAAABMEJgBAAAAADBBYAYAAAAAwASBGQAAAAAAE/8PTSj39vOc2YwAAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "means = [np.array([60, 50 * 365]), np.array([80, 50 * 365])]\n",
+ "covariance = np.array([[5, 0], [0, 10 * 365]])\n",
+ "n_points = 500\n",
+ "\n",
+ "data = [\n",
+ " np.random.multivariate_normal(mean=means[i], cov=covariance, size=n_points)\n",
+ " for i in range(2)\n",
+ "]\n",
+ "data = np.r_[data[0], data[1]]\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "ad0a54b6",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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iafma9sQ0bUvn2Hh/fBvf/OeRyRU4wdake48n03UvkE03K2PgwMG89NIbALz77tu8//67TfbcOmDWNK0gma2GZHnB/eKH9/CS0QGzpmmatkWTmWpIrCi4X8x/Fe++15JEB8yatppIriD20gQ8y+eghHQHS4TEv+AFsm12pOrgR1DB1k1yLlI238RoPSVb07TCxHr61AwfSk9h0zRN07Z067tXCQOdyVLT1uLYxF6agLl8LgBCOYhV/wtgLp9L7KUJ4NjNeJJNQwfMmqYVZJshaL19wf1qx6NJE2zCM9I0TdO0Ded4IhDtWHC/6jeOtND3M01bzfvj23iWz0Hg5N0vcPAsn4P3x7eb9sSagQ6YNU0rKCFiOAffCjLPSHOwDPa8mFpbr+zQNE3TtmwJEcM54Ib8O30RnD0v1fczTVuLb/7z7jTsIpSQ+OY/30Rn1Hx0wKxpWkGW5VAT7Yt9+ruo3vuD4QFvCGfIKajT38EKdUQnzdQ0TdO2dFlLkWy3C87vpkCHnd2NQqL6HoR96lvEZWt9P9O0tcjkCnfNcjHKQaZWNs0JNSPdlaZpWlFp2yTr7UbggNvxqDSgSIsw3lC4uU9N0zRN0xosZfvIlAwheNTTmCoNQpIRAZK2H2XraFnT1uYEW8PqRF+FCIkTaNV0J9VMdMCsadp6OY4i4fhgreyh3uY7HU3TNE3bKLbtUE0ICK21VQfLWnE+08Hv1ACKjAyTspqunFJzSfcej3/BC0XbCOWQ7j2+ic6o+eiAWdM0TdM0TdNaANM08DtxjNokyhdt7tPZ4hlSEBMViE8mIr96GhwLs8/BBEb+gWrRiqy97VYKyXTdi2ybHTGXz82b+EshsNoMcOsxN5G33poGwDfffA3A559/SlVVJX5/gF133W2zPa9QSq/YKMZxFCtX1jT3aWwVYjG3Fm9VVaqZz0RrCvp6tyz6ercs+nq3LPp6b/uEEMSMOMb305Gz74NMEtVrDM7Q07f5wG9jCQGlYiXG/ftAYnnuTm8Y+5TXqfR0w3G2nFBq5cplALRq1S5nu2G419fewKUHheowC+U0eR1mgN13H5p3e/v2HXj22SkFH1fofVmtVaswUhb+DOgRZk3TNE3TNE3bhpWYcYwnj0Us/aJum1g+D2PWA0RPeoXKYG9sez0JnloYv5FFTr+6frAMkKnBePkigoc/Qs02XF5TBVtTeeRLeH98G9/855GplTiBVqR7j3dHlmXTTk1///1ZTfp8qzUoS/bSpUu56qqrOO644xg0aBB9+vTho48+qtcuk8lw7733ctBBBzFw4EB23313zjrrLObMmVP0+Lfeeit9+vThsMMOy7v/gw8+4Oijj2annXZi11135corryQej9drl0gkuOqqq9h9993ZaaedGD9+PG+++WZDXqKmaZqmaZqmbXO8pkDOeTonWK6TTSInn06YqqY/sS2cXyURX08q3GDJR3idZNOdUHORBpnuY6je93aqDnuS6n1vJ9N9TJMHy82pQQHzDz/8wMsvv0wwGGTEiBEF2/3973/nxhtvZJ999uHOO+/kr3/9K7/++ivHH3883333Xd7HLFiwgHvvvZfWrfMP53/00UecccYZtG/fnrvuuotLL72U6dOnc8YZZ+A4uT1h5513HlOmTOGCCy7g7rvvplevXpx33nm88847DXmZmqZpmqZpmrZNCThVyFkTCzdYsQDD0ssP61E22NnibRyrac5Fa1YNmpI9bNgwZs6cCcC0adOYPn16vTbZbJYpU6Zw8MEHc9FFF9VtHzBgAGPHjuXVV1/l/PPPz3mM4zhcfvnlHHXUUcyfPz/vqPF1113H9ttvz80334yUbnzfpk0bTjnlFKZOncqBBx4IwDvvvMOMGTO47bbbGDt2LAAjRoxgyZIlXHvttYwaNaohL1XTNE3TNE3TthlCKEhVFG+UTenyF+uwhRezXX9YNjd/g1AbHDMIdtOel9b0GjTCvDpQXV8bIQSRSCRnezjs1mr1eut/Ch988EGWLl2aE2CvbdmyZcyZM4fDDjss5xx222032rVrx2uvvVa37Y033iASiTBmzJi6bUIIDj/8cBYtWlRwhFvTNE3TNE3TtlVZvKhOQwo3kCYESpvuhLYSSRHFGfOPgvudUX8hKWNNeEZac2m0pF+GYXDiiSfy5JNPMnLkSEaMGEFFRQXXXXcdrVu3Zty4cTntlyxZwi233ML1119fF1Sva/78+QBsv/329fb17t2bBQsW1P17wYIF9OrVq15w36dPn7pj9erVa4NflxBrskdqxZmmu5ZBv18tg77eLYu+3i2Lvt4ti77e27oA7H0F3Jd/iaIaeALKX0LM1Nd/XY53KGLcnYipl0FtpbvRE0Tt+WdUv8MJeP1sSe9adbWBZdl1WbHXcP9ttJxlxzmkdL/nCn3HifUkiW/ULNmXXnop4XCY888/v259cdeuXXn44Ydp125NGm+lFH/729/Yfffd2WeffQoer7KyEoBYrH7vTSwW4+uvv85p271797zt1j6WpmmapmmaprUkdqvtMcbfi3jpIsisWq8sBKr/eNTov7lTi7V6HE8EtcN4jB6jEIkVoGxUuB2OrwRH+pr79OoxDINMZj3rrlsYpRS2beP1ejb6GI0aMN99991MnDiRiy66iIEDB1JRUcF9993HaaedxiOPPELnzp0BePrpp/nqq6945ZVXGnRcUSDsX3d7oXbr21eMUltmXcKAmSWgEpBaCaYf2xMhQQxrA+urNSZdx7Fl0de7ZdHXu2XR17tl0de7JTDwdt6X0NkfIcoXIq0ktOlLijCJWj/U6mtfXBQ8Uff/ZoCMA2x575njCLLZDPF4FaFQtG776pHlDa3DvLVTyqGmJo5lZREiUvA7rlWrcNFR5kYLmBcuXMhNN93EZZddxkknnVS3feTIkYwePZrbb7+da665hvLycq677jrOPPNMAoFAXaIvy7JwHId4PI7P58Pn81FSUgLkHx2uqqrKGXkuKSkp2A7yj1JvrWKeBOaMm5Cz7wc7A4BR0g1z3N1UR3cgY7fQ+RbaNk+INVMHLctGtazvfU3TNE3baBnbIEMMERtCNOoHIKE7SbYpoVCMbDZLdXUFqVQNQri/mVavWHVaUKltpRxs20IpB78/SCAQ2uhjNSjpV0PMmzcPpRQDBgzI2R6JROjWrRsLFy4E3ERe1dXV3HDDDQwbNqzuv08//ZT58+czbNgwbr31VmDN2uW11yqvNn/+/Jy1zb169WLhwoX1Sk2tXgfdu3fvxnqpzSpoZjDfvw758V11wTIAlT8gHzmUsPXbeufha9rWRgiImglK04uIfnYz0c9uoTS7mIjRAuofapqmaVojUrq3eZslhKCkpDXhcAzDWDMF2TSNugGHlsIwDPz+IGVl7SgpaYMQGx/2NtoIc9u2bQGYM2cOQ4asycRXWVnJ4sWLGTlyJLBmTfO6/v3vf5NMJrnqqqvo2LEjAO3bt2fAgAFMmTKFk046qS6h18yZM1m2bBn77rtv3ePHjh3Ls88+y/Tp03PWRU+ePJkePXpsVMKvLZFfJZCfPph/p51BfnAj/r3+Tcra+Hn6mraliZk1mFPORSx8c83Gd65B9j0YY/8bqMxufK+hpmmapmnatkIIQThckrNNL7vYNA0OmKdOnQq4ATHAJ598QkVFBYFAgFGjRjF48GD69+/PzTffTDKZZNCgQVRUVDBx4kRSqRQTJkwAIBQKMXz48HrHj0bdefbr7rv44os59dRT+eMf/8gxxxzDsmXLuP7669l5553Zf//969qNGjWK4cOHc/nll1NZWUnnzp2ZPHkys2fP5o477tjAt2XLJAQQ/7lokXSx6G08eyZJse1MQddaNp+pMD66PTdYXkXMewmj/c54dz6bTOGPhaZpmqZpmqZtFKEaOC9jdXmmdXXq1Inp06cDEI/Hueeee5g2bRq//vorkUiEHXbYgXPOOYdBgwYVPf6ECROIx+O88MIL9fa9++673HrrrcybN49QKMQ+++zDJZdcUm9dck1NDTfeeCOvvfYa8XicXr16ce655xbNxL0+jqNYubJmox/f2MoyCzHuHVW4QavtSB8/hbgTLdxmM9G9Vy1LU13vEqMSz10j1mT1XFeglOzp71Np606izUl/vlsWfb1bFn29Wx59zVsWfb2La9UqjJRFkkc3NGBuqba0gLnEiOO5b09IrMi73xl7FdX9TiZjNf1l1R/GlqWprnepWoZ5x5CibazzPqdCtd6s59HS6c93y6Kvd8uir3fLo695y6Kvd3HrC5gbLemX1jQSRHAOuR3yLVxvvT1O/yOaJVjWtM3G9Ln/FeINo2SjVsjTNE3TNE3TNEAHzFudrC1ItB2Gc/o7qO33A18UYp1xRl+BdeKLVNlNPxVb0zanWhFG7XRswf3OkN+TEno6tqZpmtYyCCHwek28XrPoqJimaY1DD8tshWptLxlfTwIH3IGHWpQSpGSUTBZAjy5r25aUZeLf81KMnz9FLJuTs091Gooz/FzSWf2DQdM0Tdv2Rc0EZuJXxOxnEY6N0388VqQL1XYYvchS0zYPHTBvpRxHkcAHrJqq2oIKkWstT6UVI3bs08gV8zC+eBQlDJyBJ2KX9SZuhZv79DRN0zRtsyvxJDBf/gNiwWt124yP7kR2GU7JEQ9SkY0049lp2rZLB8yapm3xlFJUWhGMVrvgGbsLCkHWUjh6vb6maZrWAnhNMD5/KCdYXk0s+Qjj/RsI7HYFKctohrPTtG2bXsOsadpWw7YVtRlFOuPgODpY1jRN01qGoKpCfnRnwf3ii8fwq3gTnpGmtRx6hFnTNE3TNE3TtmDCsSBVUbhBNgVWGnRKjwbzmhBw4iAUlvCRcgK6M17LSwfMmtaCCCHYVkqvC+G+Hn1z0zRN0zY3IcDjcac7Z7NOk99LlTTBXwK1lfkbrC7BaDflWW2dpBTEjCrkF08iP70f0tV4uu6Kb6+/kfR3pNb2NvcpalsYHTBr2jbONARhqpCp5W7vdKwLGSNCwglulRk1DUMSpgoj9RvEf4FYJ2x/G2qIYttN/4J8HkXAiSOUjRImSRHTtdA1TdOagZQCv0hjqFoc4aWWQKPcFyJGEk/tMsTnk8HJovoeihXuTLXTdJmpUzKKscsZyHf/m3e/2ulYaoVO+tUQMSOO+eg4WDG/bpuYPxVjweuEjn0Su+1IslbznZ+25dEBs6ZtwzyGQ6RmPsazJ0H857rt/p6j8Rx6O5VWbKsacTYMQcz6GeOpY2HlwjXbW/UidswTVJmdsO2mSRkvBJSYNcjZ9yE/udft9Q+3JbLrH7D6H0VVNtQk56FpmqZByKjFl/gR+f71iOXzINoJ324XYrXekbgV3OjjlngSmFMvRsybsmbjjFtWZaZ+iIps01RqSGcFgcGnIJZ8iPj+3Zx9qsNA7D3/Qiqrf9avj9cUyLnP5QTLdZSDfPFcQqe+TSWxJj83bcsl1Nb0a7kZOI5i5cqa5j6NrUIsFgCgqirVzGeirVYmV2LcNcJd27QO1WUEmfEPEbc2LrBrjutdalZhTtwLEsvr7wy3wzr1LSqsaJOcS8yowTP5FMSPM+rtU/3Hkx5zLdX2xv9I29Loz3fLoq93y7K5rndTLZ0JGBmCC55HvnpxvX3OkFPI7HYp1faG3+u8piAydyJy2t/z7leDf09ij/8jZTVNoCoERGQNZs0S5BdPgLJwBhyNXbodcTu6QR3gLfUzHpXV+B47CMoXFWxjn/4u5d6eTXhWm19Lvd4N1apVGCkLJwDQWbI1bRvl8yjEZw/lDZYBxJIPMdPliK0kQYhhSMRPn+QPlgFqliF+mY1hbP6vNSkFRuV3eYNlADH3eTyZlVvNe6tpmtaYTENQYsQpTc6jZOl0yrKLiRrVRX+QboqAqkZO/XPefXL2/XhSSxEb8YUcVFXImbcV3C++fAK/qt7g424spSBuh6kM9aN61L+p3uu/VMYGUWVFtqrZYs1J4EA2WbxRNqXv31oOHTBr2hbKbzqUGpWUOb9QKssJGekNuuF77BTy+3eKthFLv6xLYrKlM02JXDitaBu56C1Mc/N/rXlMgfzs4aJtxDdTMM2t473VNE1rLB4DYqnv8DwwBuP+fTCemYBxz+74njyCErW80YNm05SIRdNBFV6OIz+5F69nw48tlFW4kxbASiOs2g0/8CZyHEU6bZFOWzrx5QbKyBCq+56FG0gToh23yhwv2uajA2ZN2wKVeBKEPv4v5p27YNy5C+ZtAwlMPZdSsRLDaNiPDUcabkbNIoTHT/iXdygzKggY2UY4881HKYUKty/eJtyuSXrZBQqh1pOK1Nmy309N07TNIUIl8qGDoPrX3B2/fY3x2OFEZePWChZCFA9qAZFaiVQbnsVJCQMCpYUbGB6U4d/g42rNp9Y2cfa4GIz8PShq8EnUonOQaLl0wKxpW5iIkcR87RJ3GtjqaUPKcTM4PnwQUVHVoOOklR97l7MLN/AEEcEyjKeOxbhtEMF5TxA2t9y1LZmMjdrpmKJt1IAjyWQ2f02NrC1wdjy2+Ln0OQjLapoEZJqmaVsCj0ci5r0ImQK5Xyq+R1YsatRRZtt2UF13K9rG6bE3ltrwIeakiOEUuY+q/kdQK5sm6ZfWOJSCGrMdzoQXoaTrmh2GF2eXM7F2/zNJXVZKW4cOmDVtC+PJViK+eTH/zqolyO/fatBUX9tW2G0HoLbfv/5OIWC/q+GTie6/HQv5+l/xrpzbJGuAN1bWU4IadWnefc5el1NrNE1WS9t2sNsOgDZ98+5XPfbECrbXa8o0TWtRTJVBLl7PUqAlHzbqfcZxFE5pTygrkKTJH0P1PoDsRnRgZiywB/0O1WNU/Z3t+mOPvpJaeyPmemvNKmMbVEV3JvO7qdhnf4R92tvY584muetfqNQVLrQ8dP55TduCmKZELHi/aBv51bN4ux+Axfp7QKusMLED/4fx0wyMmbdCcgW03xGGngrzp8LXL+S0N96+isD4x6jZAqcjSSnw1C5H+KJw9CPw2cNQsRhKe8Dgk6Btf2pVAGiaIDXuRCk5/jnk9H8gvp4EdhY8AdTOJ2DvfjHVlh510DStZXGkiQq2oej48WZYOhN3opScMAnj2d/Br1+s2VHSDfuYx4lTstHHrrLCRA69GzP+I/LzR8HJ4ux4DE6rPlRtYGbqlsY0JV6VRChFRgbJWlvOe2XZDlVEQUbBB2z+yWnaVkwHzJq2pZHr6a02TDYkfWOVFcLsvB/+I0biU9XITx+GSWdAYkX9xsvmYrLh67yaQlAkkFMvgR8+gGgn2OkY2G4M1CyDVy9BtNqewCETSRBokvNxHEWFiuHf+z/497oCYdeizAC1IkIqq5N9aZrW8mSyAmfY6RifP5q/gTRRPUY1+nIVx1FUytaEj3oKM1MBVUsg3A470IYaYtj2xgdqSkHcCiPD/fHs9R8QkM06OJaiqTpotzZCCGJGHLlkJsZnD4GTxb/D4Th9DiKuSrBtvVxJ27rogFnTtiCW5aC67+4GxAV6rZ1BvyetfEDDbziW5VBDCC81MOOWwg1DbXHUlllLwaNSiB8+cP8R/xnevzFnv4j/glfVNlnADO4lSlkeUpSCAJ9w8DgpgqaXWsers5dqmtaiKKXIBDrg2+VM5Md319vvHHwzSTbP7BvHUcQJgxFGtu7qJoq0obGCWsdRpJsgR8a2oMSMYz5xJCybW7dN/jAD+cENxE56lUrZVt8fta3KlrtYUdNaqLSMFEwyotrvjN1h8Eb3zlpGCNrvVHC/M/xsUkbJRh17cxNFSobU2cAsqAHTpsSootSoIGZUb3RJKq/hUCaWE/7ovwSeP57gK2dRUjGLEk/CrUVqVBIz4niaoOSVpmlac6qxg2R2/RP2715CbTcG2u6A6n8E9hnvkep+QJOs+XUcpcsCNROfx0F+fFdOsFyneiny1T8REFtuglFNy0ePMGvaFiZh+zFGXIinbT/ke/+Fyh/BF8UZegrOsDOpsqJsbI95ggjm4fdiPLg/pCpy9qmuI7F3OJxsdsucKmVLP0ar7WDlwvwN2vTBlv4GrUOSUlAiKxHv34D88gnIpqBVL8y9LifTeXeqrYaPUnsMRaTyS+Rj48HOACAAY8FryP7jEX0OgOdPh5JumHtcQna7fam2QoRkEq+TgHQV+KJkZIikCuled03TmoyUgqBIYibKEbZFieEjKUrIbOJa02oriIwNInDwPUgngyUD1Noe1CZMjda2DgGnGjn7gYL7xaK38KkECXQ5Lm3roQNmTdsCxa0gnp7jCfbYG6lslJCkRIR0VrIp08tsWxH3dCZ6xnuIrycjv30ZvEGcoWdgtduZuLXlJftaLSFimGOvRj6Zv5yTM/ZqkiJGQ6aqx4wqjIcOcpOGrbbyO+RzJ+Pd5x/4+/2uwaMgIeLIZybUBctrE3Ofhz77u9lbyxchp5yHZ+jplO12AeKFcxCL361rG+g2Eu+hd1IpW+ugWdO0zc40FNHsL8hX/4RY/B4Ankh7IqP+Sma7/am2gpt0fMdRJBwf4Fv1tbz1f6+ZpsTvVCOxsIWflPLr7+t1CBxIF6m1rRRYaT3HVduq6D9XTdtCZS2HKjtKhVNKpR0jbTXOx9WyFeVWCdX9TiY57hESB91LZds9qLLCW/QUNstySLUdinPEAxBut2ZHpAPOUQ+Raj2wQYlkPKZEznspN1hei3zraoIkGnROQghk5eJ6o/U5Pn8C+o9fc/xZ9yLjSxA/fZTb7ocZGI8eRlQW+aGhaZrWSKKqHOP+feqCZcCdMvvSH/DOfRKfqdfrri1mJoj+/DqB547D99C+BF49h5LktwSN2uY+tS2Kg1G4xBeAJ4jyNF2uEU1rDHqEWdNaqIylyNRNiSocaAoh8HrckW3LplmzWyZtP9nO+xI6ZTgyWw2A44mQELEGl6vwOXHkF48VbmBnYMU8ZKtd1ztyICWQWF78CRPLwb9Ofejv34UOA2HJOkFzxWKM377CaLObziKqadpm4zdtxIzbC44EyneuJdj/CNI0TW37TSGlcBN8bcYO36iRwPP6JYhvXqzbJuI/Yyx4jcDB/8PpeWiz1WP2mIKQqkJma0AIbDNEUpRsVN3pxpAQpZijLkNOOj3vfmfoqaTElv93pWlr0wGzpm1hfB6JVBls4SXTzOuJo0YCM/ETcsYjiGwCp9947PY7E3ea72aXtRSVq2snwqo1yxv4S8lZT3Kw9ez3mw4+VY1AINpsX/xY7XeE8nXWXdtZkPm/fsW8KZgd9tABs6Zpm43PSSDnTSncIJtE1Cyt39m3BQkZtficGlj5HXgjqFhnEipCxm7cyZNSCszKBTnBcs7+Vy8meO7e1FLaqM/bEEGjlsAvM5Gv/cWtHgEYJV0xD7ieZJuhpGxvk5+TZdlkuo7Cu8fFyPdvhLUSdqr+47GHn0dtNv818poOIVWNSK0EFCrQmqSINNoMO03bWDpg1rQtRMDIELDLER8/jFwxH6ftANTAE0jKkmbpuS7xJDCn/gkx76W6bXLOM8iynpSc+AI2HZv8nBpDRobx9T0MmS+DJ4CQ0KZf3tFl0xBEWYmYcRvyq2fAsVFH3g8dB8Mvn9Y/ljRg4PHw5PG527vtCp9MzPv0yh/doqfGa5q29VMo97uumPXtb0YlnhrM1y9DfDN5TQnGQCmRQ+8g0W44tY0YKPpk1s36XIidhZ8+xuh8QJN2dJqmJLBstptDY22VPyKfOJrghClkSoc0S+drtRUkMOhsAgN/Bz99jLAzqC67kDFi1GTzT8cOGSn8372EnPb3NTMffBHCo6/E02ccNRuQjFPTGtuW+22oaS1IwMgQXDwV445hyBm3wPypyPevx7hjKKFlM/EZG1YuaVN5TInx7Us5wXKd8kXIVy7CWDUlemuTsUANPB6CrfLud4adTq2on/xMCIiq5RgT90J+co+7bjkdR7xwLuz/b+iwc+4DvGE49Db44glIr3mvVM9RUPUT1FbmfX6103Fks017vTVNa1nSMoIz4MjCDXxRVLBt053QBgiZacw3r0R8PYmc3sVUBfLpEwjW/oIQotGeTygLUVtVvE2qgkZ8ynpM0yAsE0RknIBpIQSEVCXyjb8WfIx846+EaL6cGCnbR7lTRlWXA6nsPo5y2lNj5w96TdPA/+tM5MsX5S4TSFcjp16C78e3dVlGrVnpvz5N2wIEnCrklHOpN7To2MhnfkeIpg1Og6oSOfN/BfeLhW8iM1tvcqq4KsU++TVUj1FrNvpLcEZfgTXyTyRtX73H+A0L+fa/IVmeu6NmGTzze9jjYtQZ72IfdhfO8c+izp6BKl/sBswApg815Peow+7C+e2bvOflDJxA1tdGjzBrmrZZpS2JGnY6hFrn3e+MvYqEiDTxWTWMz0kgvno2/07lIN/9DwHZeIm4LBHA6bl30Taq87DNMpIrhDuaHvt+EoFnj8b/2MGE3vs7pWopBnbhMosAS+dgOOlGP6cNZdvOet+bkKpAvvl/BffLt/5FiEoMQ4ctWvPQU7I1bTMTwk2cVSiBlNdrIGY/VT9YXs2xEN+9gbn9cVhW02QtlQK3/nMhSkEmCZupCpVhSPwkEcrCkgHSttGoQaRlKyplBwKHTMSnkmBncMwgKRklnc0/TOBXCXdEI5/qpfD0BJzzP6eq26FuAhobggNPx7fz8WDVoswgtTJCKmMSHfFHzC67Yrx3nZutu7Qbzm5/Ittl900u5aJpmtYQVaqU2MnTkG/9C/HNC27uhta9ccb8H7XthpHZAteNCgFU/5qzLrZem58+wqNqgfodnxsjYynUgCPhgxtzZgutpjoMxAq0Q22G23PMrMF85gTEz7PrtonyRRhfPIGaMAm67AJLPi58ACEarZqXEIV/pmwq6aShfFHhBpU/YtauoGTpu6iuI0mJEKk8HduatrnogFnTNhPTgDBxZGKpOypZ2p2sGaXGCaHWuusIQJYvKH6w8u+QcjPO91qHrQTmqtrBeQkJ3s0TLUfNBJ5lnyM/vA2SK1GddyE44lySZhtq7cb7ynIcRYIACQLuRbBX/VeIYUCXEW5HQuUP+dvYWWyx5odcwvaTwO/O5XGoS0Yet4KYncYSOGY4BjY2BikRbVBZLE3TtMZg24oK0ZrAmOsIjP0nKIesMkmK2Bb7XaQU4AsXb+QvwWnkCZTVlBI96RV3vfBaJQlV9z1xDruTajtCY9eZ9pgSY/4rOcFyHTuDeP50OPRWePSIvI9XPUeTEZu27tc0BGGqkOkKSNdAtANpESJhNXKwKkz3d0WhjhAh3GnvL5wFQhIcdRnmzr+nWq9r1pqIDpg1bTPwGg6R6m+Qz57kjj6uIrvviXnYXVTasbqg2VHgdByK/Oq5gsdTHQbjOA3/AeMxIEQcWbsS7Cwq1JZaESZlNewjn5IlePa4BPnC2fnPp+8h2L5og8+noaJmAu9rFyPWyt4qfvsa4/NHCR33FHarXcjabseBEIKgUbtqJAHSIkzKMhr9nLyGTZhq5OIZbm/+oBMhUApv/hOWfbWmYbgtjhksHnSvxbIcqln7h9+W+QNV07Rtl1KQtL14wm427HhVii39u8jxlWJEO9Vlha63f9gZ1MoYbMA9c32yNlT6tyM84VWMdLnbCR7tSMaIkLBzO8Ebi9+pcvNlFBL/BRVshfBGILPOyLcngLPvv0mpIBsbyHsNm0j8G+Tzp655r4UksONRePb+B5XZ9XRcbICMDGJsvy9i/tT8DXqOXlOGUTnIt6/G224ARrtRuqKE1iS2vPk2mrYNCKty5COH5gTLAGLxuxjPn0xE1tRty2ZtVN+DwSzQY+uLorru2uAe/4CRJrr0bTz37Ylxzx4Y9+2NecdQgp/eRtRMNugY2ayN1WMMzqDf1dun2u+Eve81OGbj3SzBnYbt+e3LnGC5jmMhnzuVsHDXTXsNm1J7CYHXLsBzx2A8d48g9P7/UWaUYzZizOw3LCK/fYhxx1DEpDPgvRtg0pkw5Q+w/zXQrv+aU9zrryRFSeM9uaZpmlZPDTGc8feBUT8Ttuo4GLvPwZulBrFtO1TZEcrNblTEBlNOO2rs4GYJlgEkjptcsgiVSWGfOg3Ve393hFYaqL6HYp/+LtXeTgWXgq2PEBC2V7i/Y9bumFAO4sunMN+4nJDReOvEk7YfZ+zVbmf0uvwx2OOPMOuBnM3ynWsINmNSM61l0SPMmtbIfKZCfHI/WPmTbYglH2FmyhFmqG49UA0xIic8j3ziaMgk1jT2x3BOnEyNalgtTCkFwZpFyKdPzN1h1SLfux6P6ce38xmkC9RAXFtVNkh4j7/hHXEu4uvJkE2geh+IHetO3I7Q2OPLflLuNOxCaisRFYswS4cSqfkWOfkMSKx032crjZj9AMY3LxA9dToVonWjrLUKOhXIp48HZ51h4+ql8PwZcNANMOksnL0uI7PdQWQsna1L0zRtc7JsRXV0B8JnzUR+eBvi+3fAF8UZdgZ2j9FUWY0/PXpdmytIXltWBPB0GeGuL89HSFSkI5W0JnDA7Xj3rwUBaQKkbB/K3vhz9BsW8r1bwc7kf+qvn8e39xXukqNGoJQibrQnevo7iI/uQM6dBCjovb9bmvGNK92162tb9hXGFj4bQtt26IBZ0xqZx0kiF79fvNHSOciu3eqmEmVsSTy2I+GzPkL8/Ali5QJo2x+n/UCqidLQXF9BkUBOu7LgfjnjfwR3PI40DQvAa+wgwghiDvoDQrjTiB1LsSk/RnymQ1BVI2rLQUgcXwlJEUU4WUiuLP7gTJKYKEdmE7Dr+RBu484pfO9Gtw5yshz57n/w7/VvUtam1a72eUB8/GD9YHm16l9RniD22R+TVCHSVtOtMdc0TWvJMrZBOe3w7/5/eEYmUEhq5eo8EI0XzHpN8DnuKGZGRpr0ez7l+PDv+WeMeVPyru1V/Y8gLcM4liLh+EjkJDnbtPfAdJKIxe8WbqAUrFyIbNVmo0ex12XZinLK8I/4K75d/oBJBvnBjfDIeMjmmR0Xad8oz6tpDaEDZk1rZI70QKCkeKNAab0e6qwtqaAEo9N+yC774zhqg9fmeIQFSz4s3CBdjchUg9GwgBnc+2I22zjpPyNGEu+8Sci3r6rLNmoEy4js9x+y3ffG6TICufa64LWVdEW26Y146nj49Yu1DtrBTXwy4xb4/l3EV8/hH/U3Ug3sFCjEcNLIXz8v2kYt+4bqsl222AQ5mqZp27Jay6B29XynRlyzbBiSmKhAfPEE8qunQDl4dziM0OCTiVOGtQmjtw2llCLp60jomMfdfCKrp2cLgep7GNY+/yKR3TyZohUSfOspK+aLbJaR9lpLUkuUiJHA/9s3+YNlQA05GZmuIOaXxO2wLseobVYNCpiXLl3KxIkTmTt3LvPmzSOZTPLwww8zfPjwnHaZTIaHHnqIyZMn8/PPPxMOhxkwYADnnnsuO+64Y127Tz/9lNtvv5358+dTWVlJKBSid+/enHrqqYwaNSrnmBMmTODjj+unzD/wwAO56aabcrYlEgluuukmpk6dSjwep1evXpx77rmMGTOmwW+Ipm2qtPLhH34OxsLp+Rt4Q6i2/VaN1Nbn1izc8OcVQrh9yt5w3tIXdYxNG3ndWB6PxLvodeRrl+buSJYjJ52O54TJMPws+PRBt7zJOtRBNyGeOBpWrJNRvPpXeOYkOOFZWPx+wSlkG8qRXlRJV4qOJ5R2a5KpeZqmaVrTEAJiagXGA/vlTAOW798Isx8gesobVMoOjTayWkyt7cFuuxuh099HVv/s3tvLepKWERLZxpkOnfd5ZQzf0NOQU87P3yBQihPp1GiltExTIqVEKVXXQZ9QYTyH3YXx4P6QWJ77gC7DEZ2GYNyzB7LLCGLjH6Ayu5nqXGoaDQyYf/jhB15++WX69evHiBEjmD49fyDw97//ncmTJ3PGGWcwYsQIKioquPvuuzn++OOZNGkSvXr1AiAej9OjRw/Gjx9P69aticfjPPXUU5xxxhnceOONHHTQQTnH7d69O//5z39ytpWW1k8McN555/H1119z8cUX07lzZyZNmsR5553HXXfdVS8Q17TNxbYVVpsByN4HIua/krtTCJzD7iChGi9hlmEIwsQxan5GWCnUzschPi6QWbPtDlhGqMGZnBtTyKlEvnV1wf1y2uVkj3sOjn8G+dwpOclOVO8D3TJW6wbLq2USsPBN6DUG0jVk2fROgbQlCO5yJsZnj+Rv4A3jtN8ZW69b1jRN22b4Dcu9V627ZhYgVYGc+mcCB93TaOt31ydrCyqJIUIxRFi4gfpmvodblo3dcx9Ex0GIXz7L3SkkzqF3kGiETCYeA8KiCvnDB4hfZqPKtkP13p+kilDreKgy2hM97W23vNa8KWD6of84d2Dg2VPcJGQ/zsCYfS++wRfopVHaZtOggHnYsGHMnDkTgGnTpuUNmLPZLFOmTOHggw/moosuqts+YMAAxo4dy6uvvsr557s9VXvttRd77bVXzuNHjx7NmDFjeOqpp+oFzH6/n4EDBxY9x3feeYcZM2Zw2223MXbsWABGjBjBkiVLuPbaa3XArDWpuBUmdsCNGDsfhzHzFreecIfBOLtfRMrXkYzdOKmcDUMQc5ZhPH6kWzPZE4ATn4dvX4Gqn3Ibmz7sQ25bdZPbPFOIPabE51QDDlkjTDrr3ry8hoNp1eT/AbLasrkIO0O8bKjbm165GFIroXUfrEAbPF8+Vny09+fPoO0O2DuMI6lCbOoaLqUg7WuPf++/I6f/I3en4cU55glq1HqmrGmapmlbFb+qQcx9vuB+segtvCrRZAHzako1TbKx1arsKLGjn8D49iW3vFVtJarzcJw9LyXp71hX4nFjmYYimvwO+chhkHbXiQuA1y8jNP5+6LgntbaHCmKU9T0Mo2YpWLXw/s2wYn7OseQn9xIYdHKD87No2oZqUMAs5foz6kopEUIQieT+gAyH3ZE0r7d++v+cEzFNIpEIHs/GjQy98cYbRCKRnOnXQggOP/xwrrjiCr777ru6EW5NawpVVhijwxgC44cjlIUlA9TankabwgQQoQrjsfFQsdjdkE3Bi+fB+Htg3ivw9WSwalHb7YOzx8XUGG0bpWahEO7na+3/H5Nx5MI3kJ89CFYa3/b7Exp8EklZSqjqG4STZ6q06QdpuCPE0gAh1/SmRwciYuA4CtOWxEJtip9UoARnx6NJ+jvjNNL6soTthwET8PXeHzlrIqLqR5yOw1A7HUONKCFr68p8mqZp2xTHBjtbeL9S7v5tfDBTKUVlNoyn9/H4ex2IRJEVflKOf5MycK8WEXHkY+PrguU6jo187mSC586ilrbuuaTjblnHQmqrEHmWcmlaY2m0pF+GYXDiiSfy5JNPMnLkyLop2ddddx2tW7dm3Lhx9R7jOA6O47By5UqeeuopFi9ezJ///Od67b7//nuGDRtGIpGgc+fOjBs3jtNPPz0nuF6wYAG9evWqF9z36dMHgPnz5+uAWWtytu1QQ9D9RyMP6kopkFWL1wTLq61cCA8dCn0PRo2/FzvSlVoRbLRgPWokMFPLkO+9BMqhtO+hiFAr5GNHwPJ5a85v2Vz45F7Cp0xFvHoJ7HQ0dBkOSz6CPgfAsNPctcp2FgIlqN++JS2CdY9XStUl8bAsB9VtN3f9dYEfMmr42VQHe5HJNu4bnbD9JM0ueHf/B1JZ2MJDJqunYWuapm2LHOmFsp7urK18Qm1QZqBZljatZhiSINWYTi0IQVb4SarQZllXnbUcsjnTrzf9OQxDIJd+WbjOtHIQnz2Cd9jF7v3W9Lsz6LKp/O2DZShpNviaSCkIiRo8ThKsNMobJiWi1Fq6E1zLr1GzZF966aWEw2HOP/98nFXZCrt27crDDz9Mu3bt6rW/8MILee211wB3JPrmm29mzz33zGkzZMgQDjzwQHr27EkymWTatGnccsstzJ07l9tvv72uXWVlJd27d6/3HLFYrG7/xhACYrHARj22pTFNd5qxfr+ahhAgv/0s/07Hgq8nI2qr4MiH8Johis/xaBgzXY548Q+IBa/VbTPKF6GiHXOC5TrpOOKFc2HwBJh5OxzyPzcxV7gdPHsq1FauOrAfRp5PwOPgCeX/+1E2qENuQUw+u/6+wb/HKelBwOejKf76WuJfuP58tyz6ercs+nqvIUQANebviGdOyrtf7flnCLclRvMEV9JKYayYg3j1UlhVycHsOgL/Af/FKumFMhqWObs5r7kQAvHV10XbyN++IuSDQDAAjkQN+h3i47vztlUjzoNQG2Ji/cvdhHIwqxYhXjgHfp7tbvSGCA8/i9AuZ2H5yjb49WwN9Ge8OLGeGSONGjDffffdTJw4kYsuuoiBAwdSUVHBfffdx2mnncYjjzxC586dc9pfcsklnHbaaaxYsYKXXnqJCy+8kGuvvZaDDz64rs2FF16Y85jRo0fTunVr7rrrLmbNmsXQoUPr9okir7bYPk3bakU6FN2tIh3AaIxQGaSyEJ/cmxMsA9B/HGLKBYUf+MtnMPaf7kj4nGeg/3h4dHxuG6sW8e514I0gh52JI+p/NTlGALY/EOOsD+C9GxHL5kC0I2q3C1HtBmB7Szbt9VlJcLIoTxjVgJvueo/npMGxUGYQta3P3dM0TdtGKAVOtz2Q+12DmP7PNaOahte93/Qf75ZdagZCgPHbl4iHDs6tzfzjh4iJYzBPf4ts2Q7Ncm4bQikFrXsXb9O6T93vF0f6kLv/EZZ9hfjhg9x2fQ5EDZrQ4Pu2mVqGuH9fqK1aszGTQLx3g5vUbfTfcTyNl5hV2zY0WsC8cOFCbrrpJi677DJOOmlNr9zIkSMZPXo0t99+O9dcc03OY7p06UKXLl0A2HvvvTnrrLP45z//yYEHHlh03fS4ceO46667+Pzzz+sC5pKSkryjyFVV7gdi9UjzhlIKqqoKTAHRcqzutdLvV9Mp67QLhukDK513vzPsDCqrbZTa9LU9JUZV/uzb3tCakeJCVk+jbr8jTL+qYDPx/o2ofkdQZRf6vBoIszv+fa7HdGpxhIeUCuCkFKQ27u8uaiYwV87D+PgOSFXgdB+FGngi1aJ0o9YoR40azKpFyE/uRtRW4fTcG9VvPNWU0EjlrJuF/ny3LPp6tyz6eq/Li7/vcQT6HIKo+sFd11zak5QIkUp5Nvp+s6miRg3i5T/mBsur2VmYehn2ofdTY69/FLG5r3lph8GYvkj+MphC4Az6PRVV6bU2hYiMux8z8QvimxdBSFS/w8n621BdG4Da9b8On6kwZ9/vzr7LQ8x+ELHrBVQlGycx65akua/3lq5Vq3DRUeZG6yKbN28eSikGDBiQsz0SidCtWzcWLly43mPsuOOOVFVVUV5eXrTd6uneawfVvXr1YuHChXX7Vps/382k17t38Z4sTdsa1agwzvj7QdT/KDu7nk8m2LEuq6ZpSgKmhd/jIKX7reA3bUqNSsrsJZTxGxEjgWHk/8YQTiZ/YLxiAXQYWPgkPQG3lzjUBrqMgF8+Ldy2thKZrSm8H7dnOmV5qHYiJGz/Jq3ZipkJvK9fgvHoYTD/NVjyMfK96zDu2pVIzXzMAu9F0eNNuwzjoQMRX78Ai95GTrsS4+6RRGoXYxh6fZSmadrWoNYyqbBLqIjsTEVsCOV2CSlr00sWbgrTTuZf/rSKWPweHlXbhGe08WpUBOf4Z93fCGsTAueQ20mZueVjlYK4FaLC35vqXf5M9bCLqfB2p9pueP1lr1OD/PaVwg2UAyu+rfuNpGmrNdqvt7Zt3Ux2c+bMydleWVnJ4sWL865hXptSio8//phoNEpJSUnRti+88AIAO++8c922sWPHEo/H65W8mjx5Mj169NAJv7RtUsYxSbQfiX32RzjDTofOQ1H9xmGfMo30sPOpsYMYhqDUjBNb/CLhV88k8tp5lFTMppW3mtCsmzHv3AXjrl0xbh+M/9ljiaV/wJOnc1VJrzuavK7ZD8Ku5xU8RzX0VJySbnDEfe7UtnVvjuuSTfODxDAk5q+fuD3V68omMZ6ZQJj8vdCFjmf88jHi60n1d6bjG3w8TdM0rfk1dTmnQqQUyAZlD23+c22IrC2pjuyAffYnOPtfBzsehTPqMuxzPyXZfX9Sdv612EopMhmbTMZmQy+LQoC5njXejbSMTdu2NHhK9tSpU4E1AfEnn3xCRUUFgUCAUaNGMXjwYPr378/NN99MMplk0KBBVFRUMHHiRFKpFBMmTKg71p/+9Cc6depE//79KS0tZfny5UyaNIkPP/yQK664AtN0T2vWrFncc8897LvvvnTq1IlkMsmbb77J888/z/7778+QIUPqjjlq1CiGDx/O5ZdfTmVlJZ07d2by5MnMnj2bO+64o1HeLE3bEtXaHmpFB3wjr8R0UjjSS9rx4NjKrdMsq9w6zb+tSbBhtNoO9dVTiM8fyz3YL59hPLgfkTM/oJzcxBcpEcEY9DvkR3fmPmb5PFj5HWrd9V5CoHY+HnvXi5ArvoZHD4dBv3PXMK/7vKt1HETWCDVJ9tEANciZtxRuUP0rMrkM4Y826KYcUNUYM24u3KDie4z0SjB17WZN07SthZQCv0xjOGls4SPl+Jo8gBYCYrIKsXSuu/Z3nTrEdbruSlZsPUmdMraknBI8fU9E9jsRpSCTsTfbb4C0jOIbOAH56xf5G3gCqFbb41hbR6eD1nSEauCnfnV5pnV16tSpblQ3Ho9zzz33MG3aNH799VcikQg77LAD55xzDoMGDap7zKOPPsqUKVNYvHgx1dXVRCIRBgwYwAknnMDee+9d1+6HH37g6quvZt68eVRUVCClpEePHowbN44JEyZgGLnDYDU1Ndx444289tprxONxevXqxbnnnss+++yzwW/Mao6jWLmy+BRRzaXXR2w8n0fVrcmttT2bfDM2DEGEKsyan2DpHES0PdgWvHMtLP8Wfv8SPHhw/nVQgDPyQmqG/ZH0OiUWSj3VGM9MQPw8K2e76jAQ59inUI6FWDEfrFpo24+0CGGSwfvQflC1xB2hPvE5ePYUiP+S+6SeIPbJr1Hl74ndSHWUi4nKOL7HDi5cOgSwj3+Wyla7Nmjad1RW4Xt4P6j6qfDxJrxARWzoFjFasaH057tl0de7ZdHXO7+wkcJb/T1yxs2I8kWoVr1wdruIdKgbCdvfZOcRMC1Cn9yIqPwR+h8Oz/6eej250sQ5ZRoVge0bdM9qqde81KzGfPRgtwTnOpwDbyDR6whq7UbNibxFaKnXu6FatQoXnYrf4IC5pdIBc8PpD+OG8xtZgtZKxKx7kb9+jop2whlxLplQ1wYl7cjHNATR9A8YTx6dG7yVdIXDbof3boSdjoLJ5xQ+SOve1B73AtVO7mioEG7SEaNiAfLzxwCFs/MJ2GXbE7ejKKXqvnBW37DLnJ8w7hyx1rG3h0NugW9fga9fBDuN6n0Azq5/oFq2Jms3zdqhoJEhOO2PiK8nF2xjn/MJ5aJ4JvLVQkaawKvn1M8ivvbxzp1NOcWXp2yp9Oe7ZdHXu2XR17u+kFGL/4v7kO9cU2+fs8+/SPU7nmSBacONyW9kCYtqxKK33BlcXXYBYcBLF7pVKAA6DkYd8F+qQ71INzDYa6nXXEp35p38+E7kpw9BOg7td8LZ+0pqWw9s0o6QdXlNgalqUdIkbZuNWle7pV7vhlpfwLztdaFo2lbCa9iEln2IfOZENwMnIABj7vP4Rl4AQ8/bqKA5IqowHj4IUhW5Oyp/hGd+D0c9CDW/FT+I6ctbik0pqLLCyNhgYgfvCkBVdXrV9CX3i73eF/zqDNmrrVgADx0CfQ+CPS8Gw4fTfRTlmaaZir1ayvHh3/1PGN+8UL+nHlDddiNrRht8Tinlx7fnnzEKBMyq2+5kjUiTvkZN0zRt4/isirzBMoCcdgX+vgeTpM1mPYeQUYt//vOIN/4GdmbNjt4HwLi7oGYZoGD5t9jhjqStTftZbxiSMFUYVjVkEhBsRa0IkbQ2f8fAhhJCbNRsLcdRVDhRfMMvITDsbAQKC4MkUWy7IWvEG5/HgAgViK+eQ37/NspfQmCXs7CiPYhvQFIzbfPRAbOmNZMQ1cjnTq4LltcmZ/wPb//xCF+vDbohmKZE/vB+/WB5teRKN2DtOBA8Qcgm87frfzimYRQM7hxH4ZA7klyI8pe6ib6ya/VqOhZ8/QJ8/QKq70Gku4xZzytrfEopUv5OBA+fiHzxXHca+ep9HQfjjLuHGjtMQxOoOI6iNtSNwEE3I1+92H2Nq7XfCWfc3dTYoQYfT9M0Tctv3ZlMjc3rNRGfPFG0jfh6Mp6dziK7meoFGobEVz4XOfXP9XfOfxUCJRAsg5m3Q6gNavuDNun5PIYiWvsd8vlT3d8JANIg2O8IfPv8k0orvMFJthqblIKwqMbMVrmdBeF2WJ4oNSq6wX8L6awkTXStLc0TLJuGIFq7EPnggZBxZ7QKwPh6MnLAUUTHXEXc0kFzc9MBs6Y1A8OQ7jpgq3D5B/nx3ZTtfSWqtgrlCVErwqTW03tsGBKx+O3iT/7rFxDtDPv8HV69tP7+Vr2g01DEr59itN19k9cTp0SE0PCzke/fWH+nNHBGXU7S8dMcgWTK9kLXfQie+zHi1y8guQI6DsYOtKbKKdng3uuk7cfZ7jCC542BH2ciUhWoLrtgBztQ7US2yrXLmqZpW4qgkcavErD0C0BA+53cEdBGnhotALFuno1129T8kncmVmMJUo3x1j8LN/jqWTjxeZh5O86u55OUJZDnfi2lQEqBbaui96AIFcgHD3BHlldzbMRXT2NkqgkfcAvVVvMlFDMMQcz5DePZ37u/Y1Zvb78j5pEPUWW0b7YR4k0Rogr51Al1wfLaxFfP4Ok/HqPdqK3ytW1LdMCsac1ACIGoXs/NuPpXxEd3wIxbwPQTHHwSvpF/pDJbuKdRKYWKdibvLdzwuPWSOw2GVDmYQTjyAZhxq1sb2V8COx8D/Q6D58+AYWci2++JbW9a73mtZeAbehYmID+8Y00nQawzzqG3k/R1QDVBkq98vIZDoPo75LO/d98fbwgq/4HRfTdi+19PpYpscI96re2hllKMrgcjBO6PFHvNlHVN0zRtw0XNJJ6Pb3HvI6sTVkqDwIjzMIedS9wKNtpz2Y6D6rk34ssnC7ZR3TdvEGNgw9I5hRvYWVAK1f9w7AHHkMnm3mM8hiJMHLFyPqLqJ1TbvtjhTtQQq9cR7vMoxKyHcoPltYj5r+LbpxzhKaHaDjXLSHNUVGE8ckj9xJpL52A8dBDRU96kImfEeOtgpJa7SVELkDNuJnD4EGpovL9vbcPpgFnTmoHjOKgOA4s3atd/TQZnqxb58d2I+C9E9r2Bajv/F2cmY6N2PBre/e+ajULAbhfC9mPhh5moZDn03AuyScSb/4Cdjoa9L3enTH89GR4eB3YG1aZPo/0YqMoGCQy5AP/gUxCpcjC9OJ4oNSKG1YzlG8KqHOPhg3OniwNi3ssYmRThg+8q+F6vj+4N1jRNaxxeU+D5dhJy5m25OxwbOeN/eGKd8fY+nkye+4lpSoKqCtOpRSGwZIAk4aKzpyzLwem2GzJYBsny+g3C7XA6DMK2Nt/3vAIItoLqXwu3CbVGjb2aqnWm7HoNh0jVV8injofayrrtRllPYsc9Q5WRm8zSYyeQC98sej5i8bt4l3xCyZh/UGlteGfypjAMiVz6ReEqFNW/In6ZjdFhzFZ17xVCQGJl8UbVS5HKKt5G2+zk+ptomtbYHEfhxLpDSbf8DQyvmxRrnQRSYt4UPFZV0WPXGiU4Y/6xZsMB17mjug8eBNP/hXjzH4h7R8O0f8CYK+Gtf8OjR8BTJ8KcZ93EIoFSVNv+jbo+LGUZVNgllHt7Ui47U2lHmzVY9pkO4ovH6iclW0Usmo7Hqmzak9I0TdPqCapK5Ps3FNwv37+BoKp/bwwYaWIrPsL3xDiM2wZh3jYQ/3PHU5JcgNcoPnuqWpVgn/RK/ft0WU/s371EXJVu1GtpqJSI4exyZuEG7XdC/DgT8eI5xIzc6bxhVYF87PCcYBmA8kUYjx1OhNztSpjgXU/nsDeE+HEmxhuXEzDSRZv6vIKAx8braZwwwzQl4rs3iraR372OaW5dYY1SCkq6FG/TbgCWaL7M3Zpr6/rL0rQmIKXA7wW/110zs7lUE8M+cRKU9czd4Y/BEffBzNvyBnPix5lFbwpJ209t/xOwT3sLtdsF7jTjD++slwla/PQx6qO7YZczcg/gi+Cc8Dwpo5RIAMJ+t3d3WyGEIGykCNsrkB0GunWhx90BrXvXb7x07mb9G9A0TdPWTzqZ4tUdqpciHDeIE0IQNDOU+pKEVsxGPn8KdNgZhpwMXXeFn2cjHxhLOP1T0TIylq2o8nQl87up2KdOxz7qEZzT38ae8CK1vrabPSdFxlI4Ox6L6jio/k5/Cex7Fcy8HbHobYzvp9f9LvB6BOLLp8AqENRW/oisXJSzKS2C2EPPyN8e3MSdsS5QtQTxzQvuOvI8gkYtZc7PRD74F+FXziDy2S2UyRXr7ZzI+5QGlBhxyrKLCKUWQ6hV0fYq2KrZk5JtjKwZdUuFFeDscQkpZ8vLUt7S6CnZmraKEIKoEcdYMQ/j80cAhbPT8dhtB1C1qsZwY7JtRZXRjvCJL2HU/Iz47RuIdkT6I+6o7/fv5H+g4V3vTSFh+0n6exMbehaep44p2E7Mexl1/j9R/hhi5SJUl11wthuD4WQIL30PseAN8EXxDxiP4y+j0o5ttqykTUEIQalRiZxyLmLR22t2tN4eDrwepv8Lfpq1ZnsgtlXegDVN07YlSpogzdzqA2szPCBNTAVRtQz5+j8QOxzqJlIafw98/aKb1LHPAe4SpDeuRE67gsDB95BwCo/e2bZDFRECYR8BXwTx0R3IXz8nGO2Mf+QFZMLdqLED+DwOQSeOyNaA9GIZIRJENnl6cKUVIXbU45g/zUDMfsCtbNFjFGy/L7xxZd2yLfnRHQS67U01YUyVQf70UdHjil8+RXTZte7+ZlkOTucRyM67IH76uP4DxlwJsx90/79jQ7oazLKcJkGjlsC3zyJf+0vdNjn/NXj/BiLHPkV1qyFkbKNBr9tnWIQrvkROPgOql7pVPY5/Ct69ruBj1E7HkclsuVOXPaZ0Z0rgoJAkRZSMBTVOGM/4+zGePBaWfbXmAYYH58CbqA12aXCeF48pCKkqpJUAIVf9HTZfuaxtiQ6YNW2VEjOO8fTxiF8+q9sm505CtutPyXHPUJFt/GQStq2oIooIxjC2648QgsjP0zAKBctCorru2qAvP6WUO6q8fF6RRg5OOkl1/9OQ0q1pGLV+Qzx6+Jr104B4/0aMoadSusefWJmJIqWoyw4qRN4yxlukiKxGPn0C4tfPc3esWABPnwTHPe5OXVcKvCFUqz44zZSQTNM0TXOlRQij76GIr5/Pu1/1G0dahImqlRgT93anIo/+q5s086XH1jT8ZgoESuHohxGvXIJX1ZKg+HRXv5Eh+P1U5Ivn1G0Tv3yGMW8Kvj3+jHfIyYjPH0XOvMUNJAGj/U54Dr2duL87WXvjZykppaiyI5SW9cLouqu7XOuXz9zXtXZJyuQK5KqySI4wUZEO+ZN/rj5utFO9bVV2mNiRD2POexHx8V3u2u0OO8PwM+GnT+Cr59Y09gRy8lgKAf7sypxguY6dRT59AqGzPyFDyXpfsxAQyi5DPjZ+TQdJNgk/fODOiPv4nnqPcUacS9pTVrAUZnOLmkk8i15HvncdVP4AwVZEdjkbe+CJVFlhamRrghOmIKt/QSx+HxUsgy67kiREre1p0HOEjFr8P72LfOMKiP8MgNGmL56DbqYm2nezvTYhBEGZwqcSkE2hvEHShEk56x/c2ZrogFnTcNezyg9vzQmW6yybi/HOtQT2/Od6yzptLKVU3Xpep+NQZIeB9YM6wNntQmrF+uvxeQwIEcdwUhDtCBWLizQO1tWRLPHUIF44OydYrjPrPkS33SjtMQqxfB7yk1fAG6K03+FkvK2o2cjkWA0hBPiNLH6VBBQWXpKENqjklZQCM/lr3vcVcH9gff8u9BwNi97COeQ2EoQb4/Q1TdO0TZCyvfj3+T+Mnz6qCwbqxDrjjL4SJSTygxvd7/JWvdz73ueP5TlYBUy5APbKE9zlEaQG+dL5effJdAXqk7sQH/wvd8fSL5EP7EfkrBmU07pBz1OIUrhLtYqNrnYYiCXcabtpSxAcdgbG54/mb2z6oMuIesGMUlCZDRPoN4FQp0GI+M9uZ/LUv0Dlj2sabrc3jreEgONg4SGbtfGaAvnx/YVfRDaF+OkjjM4HrLfD329kke9cX382wTv/gf2vhSMmwqwHoOJ7KO2OvfufyLbekUSRkldCCIJG7arEb5KUESObbZpR15CRwvPBdchZ967ZmFyJfPsqhC9Cq+33Qc15BRK/oXqOxul7KDWiZIPqe3tMgX/JO24N7bUtn4d8+CDCp07HCg9opFe0hpSCElGBfPVPiO9ed/+IpIGxwzh8Y/9FpRXbZspp6oBZ04CAqkZ++lDB/WLOU/j3+DOpBvSObqoqO0rJMU8iZ09EfjJx1c1/O5xRl5HpMoqktb7e8Cyh8s+Rk8+CNn1h8O/gzQK1HLvsQlaG6nplTSsBP8woeGzx4e2YbfvCQwfVbTPe/S++gSdi7HUlVdnGD5pNQxB1fkO++W/E15PAsTA7D8O779Ukw73cWsoFSCkIiRo8dgJR/RvCG4BDboH3b3Jvtuv68SNU/8NRe/+dZKBLg6ePaZqmaZuPUlBFK6Inv4GcNwX51VMAODseh9PnIOIqRsSpRMxdNQK909HuKGwh5YtQkY5kRPG6wm6yqTdzR3PX1m8c4pHD8+/LJhEzb8O/2xXUWpt2L0mLEIHe+yPmT82739nzL6SUH1AoBZlAe3wjL0DOWCeQFxJn/P3UOCEKvfJU2sYX6Yr51tW5S5cMDxxwHar9jpjTr8RTW4HTayzOdmPJiDAi3z117aeu+B7ZVbC+SpUeJ4lY/H79HUrBq5dCWU+cYx7HMiNYwkMtIewiCUT9RoZg7S/Id69B/Pgh+GN4hp2Os8Phq7J9b96AzmfHc4Pl1cZciUguh9uGrJkNMPNWKOlKZMKLVMo2DV4CF1JVyDf+ln+nYyOmXYlx5IPYnsadKRmVVRiPHJo7yOLYiLnPYVQsInrUE1RZ28bAgw6YNQ2QTrZg/UHATZ5hF88K2ViUUlRkw/iGXEBg0CkIHGwMkiKGtZ4SFkIIgpmlyMePdG/wNctgxNl1o6Y5Iu2xD7uLhApRN7cqlad8xtrKF4FYJwGY4UEu+RDz548wO+6DZTXenCghIKqWY9y3tzsqsNpPnyAf2I/gcU9jtRlJNs/N0u35LMeYdBosWWs9V7sBcNit8Mqf4bevcx6j/FEy2x9EdcbfbLWhNU3TtPpsW1FBFM8OE/D1HgdAWkbIWg6gwGBNYBtqU38kel3ZFLUqABS+rwohCpd18kUhscKtLJGP4UEqmwDVSDNErePd6BwgSSeA98CbMLIpxNpLtjwBnINvIRXskrN8qMYOwtDz8O5wKPLD2xHxn3Da74wadgZJszUZ2ywYMANUWSGih9yFsXIexqx73am2e18Jn0xEvHRhXTs572VksAxx+rs4HQchF7xe8Jiq/c4NW06GBF8E0nG35KNa5zHli1BWhioZq3tEIR5DEfrtY7e81urjJFciX7sM8cWTlBzzJBVWZL3ntLFM00DMy/OexDq7iUafOrH+vsofMZ6ZQPjoZ4g3cJabzCaKlh8T37+DsFLQiAGzYUiMpV/kn5HIqmUL1UuQoX5bde6b1XTArLV4ASONtLPuuqa1g7K1+SIow9+k62PSWUGatb/c1n+jCRhp5PT/5PaGP3cqHHQDDDkJvn4Bskmcvofh9NiLuCrBWfsGFlhPmYySrm4v79EPu1PEPEH3MSsXIRPLKGE5CSNCqoFrblYzTYmUEsdxcjoF/IaFfPf6/NdFKeTLfyR40mtUUf8mEJVxjEcPh5Xf5e5Y9hU8ewqMnwgPH5qzyxl2JjVZ/zYzhUjTNG1bk806ZFm1NMlZc7/IiADm9vu765yrflozLbsAFeu63gDOth1Ul+H5dzqWO+qaT68xsMfFMO8lzOdOxgyU4B9+LlZZX+L2ho+4KeUmAAsfcg+ebCUs/RL8Jai2/Ug4ITJ2/Z/zNXYAEeiLf58bkU4GSwZIW6JBv2OUgiorjCwdhm+/QUgJ/l9mIPNN87azGLPvRw052Z26vep3Ro5Qa1SbfuvNCSIECMOLOuohRPlCt1Oi+hd4/+Y1+VjCbXECrRv0OkLEkS+cXT/oBsTSL5ALX8Oz3dGrOl0anxDkz1a+87HutPJCls7BzFSA0cC/lSLZ3t39BhRd1b7hTAPk3GeLthHfvoK5ywAymS10cfkG0AGz1qJ5TEHwlxmIuc/CkN+7U3XzcIaeSkpGt9iEEqt5nBTih3WmMmUSMOkstyREr31wRv2VKk+nVYFp7k0ia0TwdhoCP8/O/wQj/+DevKb+BeK/uNv8JbDbH8ATRNw2hOCov2LueCLVRdYT1Z2v4RAmjvz+XcTSL1Ft+6J6jqGGKBnbwKeSiLmTCh+gaglGtgZkbsAspUBWfFc/WF6t5jd3dLnTYPj5UwBU30OwYj11ki9N07StUMr24t/rMoz5r8AXT8AB/4XvpuVv3GEgWU9svfd0x1E4rXbAiHZcc89bLZsEM+DeA9eud9xpCAw7HR4d746QrmIseAPZ92Bi+91AlbX+XCTrUgqq7RDIEEaXLiilcIpMRXYfo1blXjEb0udej+MoUo5B2Ei668PXNfJ86LUPzHkW8eJ5qDZ9EMc/DXOfh1mr1jQHW2Gf+CLVlFBsNFgIKDGrMV75I2LB1DXZRFtvDwdcB+9cCz99gnPY3STydJLnO56s+aXwQAggZ92Hv8f+ZDdTvhLLslHbjYE3/y93R7QTzCkebBL/Bdmqa4NGZ20jhNGqV8HfPKrPwTieDf+bK0oIlBkoHoabgW0m8de2U1xV0zZCSFUiX/0TzHvJrYPX54B6bdT2+2EPO5t0tv7XgpSCkJEmIqsJmFZd5uh8AqZFqVFBmb2EMvEbESNZtAbkukzTwOcz8XgKr4VSCLdHNp+qJTD7AZSdKTi1u9oJo8bf604XWvfYOx/nZsx87MjcHw61le4aaTsD241Bvncd3uVz8HiKf714DIdo/GvMO3dBvngO4uO7kC9diHH7ECIrZ6+p25inFnXuidX/xWOaErHuFPR1/fghdNkV2u+EM/5+rINuJimiFLmEmqZp2hZKKagx2+Gc/DqE27udoqMupd6XemkP7CMfokY1bCpuNSXYE6ZAWc/cHeG2OJFOOAesk4xrtwvhpYtyguXVxLyXMH/5BMPYsJ/fQqz1G4JlRCjHI5uuB1+qbP0Og+FnQrAVPHwYfPYIfP8O4uN74OFDUJ2HoY58EHXck9inv0vc1w2rQGe0EG6G51ZiBUbFQsTI82DsvyDSwW2wYgE8/TvU/v/BPuN9Eq0G0rB8WKL4UjuAdA1iY3oSGkgpsAJtUd33zN1R85s7iFFMpF2DpzInRAznoJvrL5kD8IZx9r4Cx2zcgDmbdXAG/a5oG9XvsA1KXrYl0yPMWosmM3H3iwvgmZNh7D9glzPdGsjKgR574bTansps/S+aiJnEUzEf+cFNiOpfUG36E9jtQlL+DqTs3CLzJZ4Exowb3MRiq6bnGJ2G4DnsTuJmp4I3EgCv4RAWccR3byB++QzVug9qh0NIEqV2nWlYtTKGZ/DvkdOuzH+waEccX2nBXnXHUVQY7Sj5/VTEL7Ph21fAF4PBJ6ICZYjnTy9cQ+rLp+Hwu6FmGbLqJ2K+L7EiXaghRr5lzRERd8tGrDt1y84gnzyG8DmzSYsQ5vZjEfNezv+cgVIcb/2RfzeraPHp5cpfgr3bH1HDz0OqLMaCqcQyCVS3kVi+NlQ7oW2mZ1TTNK0p+UyHoIojrBTK8JEWTVNmJmNLKgPbETzyCTd5lBCInY5FLXgDkitQ3fbAKe1FXEUbHIzYtkOV0Z7wiS9hJH6FlQsh1gUn1pUaFcPbpYzAWTOQmWr3/u4JFF1PKmf+j8D4XaihYUkypRSUyEo3q/JXz7pToH1RjGFnEBh6et7fJ43NFj5U695u5mwA0w87HOqWYVyXUogXz4NT3oApFyC6jSQy8kIqnUi96y+EoMSoxHj14txR5a67wpH3wYvnu+93Oo76bjqJnc4gnW3YdVNKQWmPorUvVY89ycrgRo2+N1S1HaJk3D0Y716D+OIJd3BhztOoMX9HLH4v/4Na9cL2tWrwrEbLckiU9Cd4yjSMaX9zk7dKA9XnIJy9r6RatmvgX1vDOY7CinRFbr8fYsFr9fcPnEDGU/j35tZGKL1YryjHUaxcWdPcp7FViMXcKbhVVfV7VbdUZdYPGHfvlrvRF3Wn6iJg5QKyJ71GpR3LaRI2kvhmXo/8JE89wEPvINH9gLraeSEjReDNvyDmPlevLYFS7NPfo9wuyXt+7ijs3FWB5VrvqzRwjniIRIfd6tXoK/VUYz52eP36y9LEOeF54mVD8ibJWpdhSHxeiUJQW5ulRFZh3tI/f+NoJ7fUw9TLYO2yTaE2qGMexYl0xlGKlIyRzgpMUxL7fnJOXct1Ofv8i+odTyNc+wPGPXvkHWl2DrqJ6l5HkbHqP75MLMe4bVDB49unv0Mm2Anflw8h3746Z42T6rYb9uETV2XQLHiIFmVr/HxrG09f75alMa93iSeB8cmdbpWHTM2qH+4H44y9ikpV1iwJgEzTQAg3+N2U5xeCVfk2VF2ui5gngfnRre7rDZTAmCthcuF7G6U9SJ/4MnGnYQmYSsxqPI8d6o60rkPtcCjpsddTvRFlHTfkmkspKK3+Evngqll4fQ6Asu1g5m2FHzT6cjfZ6A8zUJ2Gkj3y0XoZk2NmDd6njnbXZNc7wc5w6K2wOgt5t5EkD3uYhF28UsjaQkaawFuXIeY8XX+n4cU+awYVon2T3OcDZha/qkFkk2D6UYYPOfN/yI/uzG0YbIV90qtUeTo3KEna2qQUBEUCDxlAkBYBUrYPpdRm+04v8SQwvnkeOfNWdxZCaQ+c3f+Itd1+m6VyyubSqlW46KxPPSVba9GUr8RNXrW2dBwWvQ2L3kJ13ZWMyP3ACyHwJn/JGywDyJf+QJA1nSw+uzp/sAyQqkB89QxeT/4PaZg48rEj6k/tcmzkcycRdCrrPabKjmKdMAln7FXuFLJwW1T/I7DPfJ+a0p0aFCyD+8MimbJIpbIotWpWW6EEJ/v8H7z8p9xgGSCxHPHIOIzqJXjuG034s9so8SSQUiIK3SDH/gtOmoLsMoywU07a3x7791Pd7NZ1b0xbnENuJb3dwXmDZYBaGcEZlb/OpjPwRKxgB3zLP0e+9a96CUHEDx9gvHE5QaNxM6OvnsIflXHCRnKDp+VpmqZtySJGEvO1S5Af3OwGy+CWmfnmBYxHDiEmq5rlvCzLJpu1NzlYV2pVIrBVEVbQTON59xrkzNvAqoXkyvVOtVUddsYSDQv6DEMif/kkb7AMIL55EU+28BrdxuI4itpoL5x9/rVqfnhp0VF0AKqX1iUSFT/Pwqj4LicgkVJgxH/MHyyDm7itfJG7FAzAG0aJDSvPlbB9WGP+hRp4wqrEV6vEuuBMeJEao02TdYqnLA8VdinlshPlTisqsmHSwy/CPmsGapczYcAROIfdhXX6e8Q9nTY4WAb3OtXYQSrsEirsGEnLu9mTmFZmQ8R3OInM76dhXTCXzIRXiPc8YqsKlhtCT8nWWrSkiBLe66/IqZfW32n6cfa4tF7GZ69HId+fWPigjoX4/h3MnuPdL6qfPi96DvLbKXj7H0+G3GlVpimRP8yoP2V5tZJuyPgSysp8OA7UihC1luFOq3YiePudjL/veASKrAi40+E2YWqMEMKdgvXVOsF/sAx84XolmupkUzDvZeg6AvnOfxC/fEHgkDtQbXfITRbRcRDs+y+YfjW8cQUAhjeMf5czsIeehXXMs5h2EhwLxxMiKUrIFAn+k7YfY+CpeLrsivHef9xkGLHOOLv9kWyHXVBKId/+d+HX+/VkfGP+jwS+gm02RMioxVe9EPnedYjl8yDaEd/Ii8i2H0Lc2rZuLJqmtUyebAXimxfz76xYjPzxA8yuB623ROLWwq8SiM8eXrPBzrqVGLrtBj98UP8BQuDscTEpx0exBFireUUG48snirYRC9/E3OHkRi3pmE/CDuDscDyBHQ5FLJ2DqPoBse7vgbW13SGnpKP88nE8o4eSXtXLbRgSsbBAUrbVvn/X/W3w6xfYu5xJWnlpyPu2tspsiOCe/8K/51+gZil4w9jeGAlKsDYiKG1MNXYQYXbFu/s/QDnYDqs+G1vX1LZs1lmnWsm28flemw6YtRYtbQm8vcfjNQPutNyaZe6OjoNwDrqZGrNtvSBTOhYi8VvxA9csQwiB4yiEZz09yaYflSdRg5QClhcIQoefCT32RLx1NcZPH2OYAYydjyc48kKqKMO2HTKWItOATJIN4TVxs44OO82dYpVcq15zaXdY+lXxA/zyGawqzSEWTMWo+RnVcwyYPnfNlzRgv3/Dk8fnZrTM1CDfvxGRXElq9yuI09adF2NDQ24o1VYAo2wogcMexFBZbExSIoJtOZQYVYWDfHBHnWvj4Clb7/OsT0Cm8c97Gvn6X9dsrPoJ+dRxeHc+nsiov7vZTzVN07ZSpikR375TtI2c8yServtgsWGlB7dEQgh3fe26JYvevR6OeQRevyK34oQngHPI7aR8HVENrsYgWG85oAaMugoBfsPG67ij/mlZPCu0lIKASOEhjUKQElEyFqQcHyl8mB3HEO24EuOtq/N36vtL3OzWy9b+bZDndXjXc9/zBMBKo3rtg926P3YDZ8itK2l7SeKtG/H2SYXfrsYxPaSVD7sZq2MoBel0galy2hZDB8xai1dtB/BudwTBnmOQVhKkSVYGSRLO+yVqCS9O9z2RC/IUowcQErX9fhiGACSq3U7uVOYC2Z6dwSeTFiHW7ZFzHAVt+tV/wHZjoN2O8OQJa7Zlk8hZE+Hbl4mdMo1yYvUftwk8Tgq5cBrMmwLHPg6fPQpfv+gmr+g01F3LVEygzJ3qvor45gVSwy4gcMwTyCePge33g/lTC5Z/EJ89jG+3P5Kg4WuXfKbC58QRCjIyRMIJrpp65b7PDgIi7YvW6cTTOCO/AWqQb/wt7z7xxeN4hp6GCPTR9Z81Tdu6yfUEb9KksevBNh/lJr+KdoJ+h4Iv4gbQ816Cp09y1zLvfSWqagkq0Ara70hKRkll8i/FEUIQMNL4nAQ4WZTho9YoxRk4AfntK4XPYru9i44ue6Qiwkrkezch5k0BITH7HY4YeT5WqGO99gEjQyD5A/KtfyGWfAS+KObg3+MM+h1VtpsszbJsqo0Y0QkvIh8/MresVqg1jL8Xpl+Vc1xn5+PJrnWe2ayN6n0QTPt7wXOn3+E46QR2192oaoTkZl7DIazKEZ88hFz8LgRK8A8/B6v1AOJWqK6jwIu7HCuDn6Tj3yLuzVIK/DKDcLJkZbDgcjRt89ABs6bBqtHYGIiYO3BZZAQzm3VQOxzm1gTMrJMQru9BsNsFyB/eJfLrLTitd4D+h+Mc+RDyqePrH6zdAOyuu+ednmZZDk7XkUhPMLcHd5fT3MyR+VT/ipx9P76hF+Ytg7WxHOlBBVsh5r0Ejx4BOx4Fh90OHj94w27gafrdNVz57HQ0vHLJmn8rB0uZVLcaQvjcT5FVixGv/TX/Y8Htgl02B9lu9HrXoBmGJCbKEbPuQ855GhwLT+8DCIy8gGqjNVnbfV9SIoZn+LnIj++EQROgtJsbsM95xi051XEwWSO0yRkeTVMiFrxZfxRiLXLWRHx7/5fazKY9VyFFkoRqmqY1CstyUD32KtrGGXQSGeVlW5iyqRSI0i6w/7Xw5ZOQWOGut50wGWbeDi+ejzr4Zpyeo5Gz7kPMvo9Atz3w9x9PNSV19yJYdd9Sy5GvXYGY/zI4NoTaYOx+MexwCKr9zoilX9Q/hx2PIWOWFLxPSSmIWD9j3L8PpKvXbP/kXvjqWczT3kSIdnUBoddQBJfORD5z4pqbRiaBfOca5NzniJ34AhWOW44rawvioT6Ez/gAsXwusvw7iHRAeEMw/V/w86drzrPzMOyS7erVjU6bMfzDz0F+dEf919b3IJy2A4hThtUIpYlMQxCp+Rb5yKG59bG/exPZ92BK9r8emSpHTrsCsWg6IDD6HIBv779TbbYnazdfzpGomcBc+Q3GR3dAbRVOj1GonU+gWpTl/B1pm48OmDVtI1RTQvSkl5FPHrsm8UWfA2CnY+HBgxG2G/lIgLevQh3xAM6pbyJf+yu07QsdB6FKumG325GqdIBCwXkNUaInPLsm8Zc0wPC6N+YCxJdPEBx8CulGHGVOOx4Cw8/BmPeSW9dw9oNuvb++B8OMWyDUBg74L7x0Qf3IbMARbumutRKEqL6HYlkOPqmwHAOzpAdGp6GwdE7hkzC86z1PISCmVrg/DmrWTJsXnz6I8dUzRE5+nUpvdxxHkbUUaoeDUbGOiJm3wW/fuIH/oBNh9z9il/QkocJs6loiIQSkyou3SZUjHBvYsIQmxZ8XQjLlTsGL/wSBMmxfKTXEmnX6maZp2660EcU/9FTkrPvq7VPtd8JuPwh7G1m/HDUTiLevhc8fXbNxyUfu/fGI+9zpxh0HYdyyc91u+d00eO+/RH/3ElXB3nUlJaOiAuOB/XMTaSWWI1+7FCf+M85xTyLevwn5+aNuB3qoNc6uf8AacCw12UDBcwyKJPLVi3OCZaThrrEOlMKsBwjuciEJy83VESSOnHKeex83PND3ENjhEPAG4bdvkIum4+l5ONmsew2zjqCCGLL1bsi2u7vJLD++E7lyoftc3hDO4JNwRvyBuFV/GnjCDiBHXISny3CM966DFfPdXCMjL8Dqtf+qUeXGWZsdpgr5zO8K18cecARixi3uEjIAFGLeyxgLpxM57S0qzS7NkuE9Ztbgee1id8BiFVm+CFZ8S2T0FVSbHRqczFXbeLqs1HroslIN1xRlSDweiakyKGGQtmSzTpMxDeF+Adf87I7sdtgRcceIujrLOaSBc+5shLLgwzvc2nu+KM4uZ2J33ZMqO1xwBNBrOISJI757HbHsK9j5GMT9+xU+sWArnNOms9Ju1TgvdJWomcD71t8RXz4Jvfdzb6Ivnr8mQB56KvQ7FPXZo4hlcyHcDgYeB1YGXr6obkq66rkX1qF3IzPVyJk3I75/181+OWgCok0fmHQmJJbnPrnpwz5ndsHyW6sFzCyhty9HfPF4/gadh1I7/nGq7SABI0Pwm8fzTpVW2+9L9sBbqbI2fQqYlIKS6jkYD+5fsI1zwA3Eex9HtpF+SAohKDGrMF48F7HorTU7SrvjHPkQ8UDPDe6V1mWGWhZ9vVuWxrzeMU8S89spyA9ucMvMeMM4Q36PM/xcKq3oFjG9dVNJKSipnI3xyKH5GwRK4fS34cED3PdgXeF2ZE95i0o7itcURL5+EPnG5QWezMA+73OSIoZfVSOcLEp6SMoSVs9wLhTIlcqVmLeuCdgZeILbKbzobTeLddu+qD4HU6VKydpQVvstxn1j3Gnm4++Gea/AnKehtgo6D4ORF2C12xHHASnAVoKkiOXMkvOZioCKI+wMyvCQElHSVvHRWdOUBFQVBg6OkqRkrNHuh+B2IJfWLsCYOLpwo87DoM+B8OY/6u1S240hddBdJGz3c+LxSIJO5VrvQclmSbpmmpLoL9Mwnvmdu8Efg/2vcdeIf/8OCAO10zFk/O2JrycPiv5OL259ZaX0CLO2VfAYigiViK8mIRe/iwq1JTjsdLLBThtVf7AxWLaikigiGMVbsiPhlbMQu57vZmP+9uXcNcuOjZjzDOKXT2H+q3Wb5aQzEF1GEBv/IJV5el8BMraknBLM7Y/D6CsI28sRnkDeXlIAthsNtXGkr3XR3lDDcDscGtpjGrdCREf/A3PAkRj+MDx+TO5o8qz74KvnEDsdhTrkVpxYJ+Ss+90eWzu76kfTyTi7XoBRvsCdFrXWeyReuwza7+SufXr08JxjO6OvIMn6g1e/SiK+erZwg59m4XESQNBdV/xm/rVTYsHrGOXfIkuGbHKPsuMo7Fg3jDZ9YPm39RsESlG992vUHwcRowbj2ZMQP32Su6NiMfKhg4icNZNyShvt+TRN01arygbx9DmO4PYHIJWFEoYbNGUFmzP7rxCCoFHrrgHO1oAnRFqESTq+Rl+S4pdpt+5sIakKWDbHnVqdT80yZPVPiFA/vE4N8qtnCh/LsRHL5pBpO4pax505FiRN2F4By75CCIlqN4AUIVL2OjOxnLUWug49Bdr2gwcPylkiJN66hujvphAPbgfZWje6HHcnTLnQ/T2z2g8z4IcZGIffjbnobfjiCczW2+PZ489ku+5F3HIDsrQl1sxwa2AMaVkO1UTWOu/GnYUghMhNVppPYkX9MqOrH79oOl5VS4KAW3d43gvImbdA1U+YrbbDs/ufyfYYTbyRSykFRArjmxfcGXZCwtEPw9vXwo8z15zbh3fg7XMgJQfcRGUjrPPW8tNFQLUtnmkIosmFGHeNQE67Er6bhvjicYyJo/HOvI6IUaDsUiPweRQRGSciq91M0XmEZYJwxZeIj++FH2dAtAP87gV3PfNaxIp5bgmmdYglH2IsfAPTLD4d17Js0mkLS/hglzPzNzL97k2xSH3EiJGkTP1K7MeXKFn2FmVGJX4jf0KydcWtEPE2u+LYttvjvK7aSvj4XsTUS8hkBYlB52CdMwvr3Nlkz/qQml0uQVkZ5POn5U+CtvRL1K9fQO8D3H+33QHnmMdJ9zuGWrshWVUdNxFZEcLJuuuKf/ig8I8Z3DVePtk4WTWqnSj2cc9Cl11yd7TaDvukV4irxgtehQCzdnn9YHm1TA3iy6cK1v7WNE3bVNmsQ5UdpcIpo9KOkbY27/eNlIJSo4LAq+di3LYzxl0jMW4bROC1P1BqVBUdOdqo53My66+WUb0M/EUqVVQvdQM5cL+4i1BrJUqLeZIEPrwO47ZBGE+fgHzqOIzbBhH84h4iZu7vIccIQKyzm8Cy/+Hw6iX182mk48hHxxFWVVDSFXru7QZkawfLaxGv/hl2PNL9x4oFyEmn4/n4f4TNAjlMtgCOo6CkW/FG7XeE8oX59ykFKKJGDebLf0BO/bNbJxpg5ULkC2fiee9aQo30ezRopCmTK/H9+DZ03gUmTHIHE76ZkhMsrya+fQXj80cK/k7VNp1+a7UtXphK5FPHumtn1yE/uRfPDociY4MbdW2JaQiiVCBmP4j8ejIIiXfHY1A7HUuVKq0rKB8xk3jfuwb56YNrHvzDDJh1v7uGqTYOi99zt5f1gJ8/q/dc7uu4i0CPfXJ7WAuoJYCnzwEIwwMf37MmcG3bD8b+A96/GbX/f/O+HyWeGsxXLkKsNcqN4SW079UY2x9Owvbj8RgIIbBtp+51rs1xQK29HiqfdDUCh5RlkqLE3bYqNg1ZFRD/ueBDxWcP45wwCWe//4IwsIQH5bgj4vnOZ202Hsz2O8HSL/M3CLVGZGoIB9LutSlCZGoQNM66YsdRVMoyQoc/gseqhuqfIdQG27t6TXHj9aYbhkQs/rRoG7noTTw7nkSGwmvfNE3TthZRGcd47HBYsWDNRuUgvn0Zo2IRkeOep8pZ//21oSwZQHUYhPi1fiKuOm36utOeCynriVKKtBnBt+MxyF/y/z5AmtBuAI6t8JpgfvUk8uO7cts4FvKda/GWdMPT/bC6GUtJEcMcfYVb5WLupMLZH1MVyBVfU9t2CIHhZyLeuLLweddWuTPcfNG66hdy5m34B03A6wmRVGFq7S0vvMiaUWT3PdwlcesSwi2b+ezv8z+44yAsGcAT/x6x4LW8TeTs+/ENP5uE2LRR5oiZxDv7buQHN+V2bux0LPQ/zF0j79TvzJcf30Fwp+PcBLZao9MjzNoWTQiQNb8UvenIGf8jIBqvZ1NKQdReijFxT+R717u9rCvmI9/6F8b9+xBTK9zzkgJPxfzcYHk1K+2u793tD6sOakLP0fD92/mfNFWBaGDW0HRW4IQ7uu/JEffBic/DSVNg+FnwxpWoUFvSov707qCZwXzrn7nBMoCdQb56Cf70UsrkCqJf3Uv0g/+jZNm7lJpxDCP3a8JxFLTuU/QcnR57kZUFbhqZ9fTA1lahEAgrifHuNfgfP5TgiydTsvwDomb9TpO1JYjijKm//qjO8LMR79+A8cmd0HVE8dew/X5kN6CM1fo4jqLaDlEu2lMRG0q50ZUqO9KowTK4v4dUoKR4G38MR25ZP2ikFHi9Jl6v2eijQZqmbbsMQyBXfJMbLK/tt28wKr5r1O+VtG3AiLPcabL5tN8Rou1zk22trV1/LH9rlHJH452+h7ojwXk4Iy8gtWpJUlBVIWfcXPC85DvXEFSVdf/OWop0t71xBk2A8kVFX5P49XO8hkK16Vu44kXdgVNuUrC1Hz9vCsbkswh9+wRho/HXyYr1jMKvT40Twj7sLlTndWZ6eYI4R9yP4w3nn7YtBM6+/8YyI8jPHip+jvNewuPZ+E52jynxLn4T+f4N9WcCfPkkLP7ATaSaT7IckSeQ1hqHDpi1LZoQouj0YgAR/xmhGq8eT0CkkK9dmv+Ls/pX5DtX4zeyDVvDVBt3b4LHPAqfTCw4BVh1GoYlGz7aF6cUe8R58PY18Oh4eOgQmHopznb7YO11BQm7fqDnVwnEnKfzH3DUpcgFUzFuG4ScdiXi47uQTx2Lef/exOxfVtWUXiMjw6i+BZKdmD7U8HOotQrcNCLtitfq7LwLMrEM451rEJ89DL99DYvfQz5xFN7X/1w0aLZth9pWO6LG3e0mXVnNE4A9/uTWh5z3MvKDmyHUCtV5WP4DBUpRfQ9u1HXFa9ucSW9s24GOg4tmFXd2OYu0s/6s401BCDcLaEn1V0Tfu5zoe3+jpOZrombN+mYpapqmYZoG8utJRdvIeS+ud9nThvCYErVsLhx2h5sNe21t+7lVIxLl7v+uE1hS1hP76MepUWtGvOMqhn3Sq6gdj17TPtoR5+CbsYaeRWZV562wUsXX4lb+iHRylzvVWAHSrQehWm9f9DWJaAeM1/6CMvyonkWSY0kDYp3qV3+wagEH+dpl+JZ9gmlueoghBISNFGViOaWVsyhLf0eJEWdjLqVSikq7hMz4h7HP/ADn0Dtxjn0S65yPqe4wmlSwK85Rj+R2XJT1xDn+OZLRPijHRhTKHbNadtOmZAdVJfKdaws3+PRht6xnPv4YagvrCAf3Gvo8iqCZ2aqnjG/Fp661BEopKO1ZvE3bAdjS32hlHb0qiVj4ZsH9Yu7z+Pe6gqzyIGqWFT9YJgHHPAZVP6Ech7y//4XE2fPPpGwf60uIIqUgIJJ4SaO8YbJHPYa005BNobxhUiJCbbbAnaS2Ku80HsJtoeMgeOLY+vuql2I8eQzhE16iaq3p4jV2AN9B14PpRcx9fk1PaKwzzvj7qJFlBZN91IoQwZ2ORXz+WN73gl1ORzxzEhz1oDuKvnJBXRkt8c0LmINPwmg1vGBppITtx9N9LzxHPuCuZ3Ys8EXgy6fgvRvcRnYGVbMc58iHMF75ozvFanUQ27Yf9hEPrFpXvHVmc02qEKGDbkK+eG69far3AVitdqhXD7O5lJg1GM+fgvhxRt02Y9ZEZLfdKDn8Piqy+ZPhaZqmwaqvbk/xabDKs+klAlcTQhCgGlnaww0Sz3zXLYlY+SO07u1OU37uNNjpaAi3QZ31Afw0G1XzG6rzLjixbsRVLGfZlG0rKkQp/r3/g3/0leBkEYYJCszvphIz/dBlOMgACANUgRtspAPC9FDqVAEOFl6SRKhJO3iHnIbx8b35H+cvgUhHxFfPwO4XwYiz3RHNfAHizsfD/NfqT+/uMgI+ngiAfOtfBI8dTJyN//4WAkrMaoxXLkLMn1q33Yi0J3bEA1RH+5GxNyxyVkoRt8MITxjZvYeb+HTVvTCDSbbjGIInvY6RTYAA2wyTWJUF3EBg9zscY+7zhY+//X45GcM3lFQWVP5QuEE6XnDAwRl6GilRZM18MwgZtfjSvyFn3IOo+hGn/c6oQRNIyrItctp+MVvX2WotjlJg+VthtO3njjTm4Yz8QwMTQjWQnS28zmf1fsfGMqKojoMQv35euG3bHSAdR2VqYOw/UE4W8e0ra/b7S3AOu5OkrwNqPbVxfYZFuPb/2TvvMKmq849/zrl3ettdeu+9CAhSpTdBAZWigF2xR40aS6JRY4yJRk3U2BU7KogKKDawIEUFQRRBpFrobN+ddu/5/XG2ze7MsjTbbz7Pw5N477ll7szec972fbcj3r0JseVDEBLVbgz20FuIuOvjtAvwRnfiNd1EhJdi5U2sY3akiGB3mQxfzdatJvz1dUT/mzfKU8n2bcIo3o1wBRIeS9xVC3nCvxFDbtKGrcuP5cqkkFBZb8lkFMVduIfchLSiiK/mlBvb3iwYdQd89aqucd77rRYpCTXSyp3v/AXyd2AsfwDXicdQhCvlNWzLgvlX6nYeQiZPL5MGOfEg3tEP4BpVCEV7wRUibvopJPCb6FVsGBIfeZhWEaCwDC+FIkQ47kA2H4X7vEXIj/+F2LkW/HWx+lyG1WQAeUegXdaRwG3ayGX/STCWSxHbPkF++hCuXtccdcGgNGnS/HaJxSzsY6ZifPpIyjGq80RiscNv+yOlIEPmIF+/RLf1KaX1SBhyA7x7c5luiarXhXjTARTaPlTzxmXaILalBaSq3KOC4riDYjLIcBRoZ+63FdYLQqIGXoua/AzipWlVb65xT9SYu5Fv34DYMB9sC7PRsThH3kFRoA3FRm18J/0XMf+KxDWO06dbSH18t77M1k+IdToVx7TZiAVXw571epzphh5nQouB8MrZiddu1l/Pt+Ec/d+7v8Hg8NKD/bIIY97liE3vJe7I34l8djz+i1ewnzqHdG6lSFoOFYvb5BIEWWJ4WlAajbEsG9XwWMhsDtlbq56zYXesQGPUYTijlTD095FEswcAIVAOb5Xgi2raD7vnBSVK9L8OfEYY97oXke/dVLZNbloEy/6Lb8qL2HV6H7TD45ckbTCn+dVToIKYU17Ugh4Va3AMB/aJ/6XY3Sils/VQUKZbR10LUihgZrXElg4ilsTb+xKMVU9XrTUBqNdJ9xOeNVW/3Jx+GHIjathfUfu3oFwhVKgphQSIWtWnLhmGxF+wETnzhPIosbIR372HcezZeL57ArFqZpk32NNiEK6x95Fr1MOybAxDYJkZGC0H6/6LFWk1BAwXrHlBq3xntoDJz8LGd2D5//SYnO2I+q2rpBLbDj+5RQbCX0vPvxbUxIsftpz4WgyCnudopUmnX3tNVzwCmxbpQdlbdL3O9mX6WU58El45C4r2l6ScpTaYwzKIo9sZyMV/Sz7AVwfbXRtl6Yh0IW5wl/StruFn+KVxGzF8eeuRb15d5kwyarXGHH0XRbW6UmS5CXvb4Rn9IIYKYwuTsAgclvf7SONRecgvnkm5X658Ek/PC4iUCselSZMmTSWUUsQ8DZAdT0YkSc1WXaYQc9U5IuuEgMzHmDUFdn2VuOO7d+Cnlbrtz8yPwenDatybnKgXPZ/UfE7xmHHMJf9KNJZBz/kf/hM1aSa0Hg7fVTAkXUEY9Q/EM+MTO1j8uBI5czS+02ZR3KAf0VYn4Dqvk1Zbzt+h08cb94QP/6UFSwFcfgpibnyZ7XFMeR4RzkFIA+X06zK5BdeWr0MMh+7M0eMsvWaa/qpeR6ydjTrMqk9HPLeqsVyKFUWseAh3v78QPkCP5yNJrh0i44w3kAuuRGxerC1vaaDaj8Ma8XfyrACHs34IiwBGtzOqirqVoFqPxAo2RUx/Hbl2FggDu9t0rFBz8lK0Jv0lEAJc0b0JxnIZtoV85Qz8l65i/29IoEyo30MH+aOIbSv27Sv4pW/jN8HRbIoupSAo8pC5WxE/rABfXVTz4ynCf2Sjy4DTFAQ2vIBceG3S/eqUJ7CaD6LIciFUHN+uZchXz0tMXarTTtc2vXJWeeuBUhw+rIuXkW3XqnEta9AowPXSxKqT9Ijb4PtPYf38qgf562GdtwgFyB2rIfd7RL2OCCsC79ykvcbHXaBT3t++oerxI2/XDorPn8Q6fzHZ7jYJTunD+b6dDkFg9f+QH/5D1xrHIxCt9Hc2aSYsvKG8hr1pH+g4Hjt7GwV9/nzAqGOmIw/z6bHa8K6IENhTXiSv3gBiv1F9DMMQhAq+wXhqZFJnjT1tLrm1ex9R4/ho/H1nshvzwR7VjolftppsVfuIXTNNzTia7/M0vz5+D993yFGIufFN5NL/6AhgZgvs/lcRbz2a3CPQH1cIQVbxN8gnhqceNPwW2LQY+/hryMvoSuwgImhOE9x2Hg4RQ/7vOD0vJqNOe+ypr8DXc5Ffv6rLukbchljzYvJSJ4BQE9SEh7EzWyD2bEB++j899+Zsh+3LK3xIiXXZavbbWWWfOdORj5xTUjbjrwfHzYCmvXXLjMwWEC/Wei3RfG1I71qHajGQSLAVViyOJZ1Eata5sgwpBRm7FmO8PD31oLodKJ7yKgVHUP28Jggh8MpiXKpQ1yw7fYSFj2JL9/uWUuATBTisAu288GYRET6KbG+N1nyZZh7m8xN0ll1FAg2wzn6LbFUHIcDhkKB0VLwmXWJ+zr9xl0MQ+OQWxGcpSgAAe8Kj5DQ98YgLnx4qtWr5qxUGTEeY0/wmsG1FDgFksCtGl24opY5apCwaV8TajcdRtEeLQ5X29TXdMOCPiMJdmA92x9/jLOzjLqGg/gC8l3yO3LkGCnah6ndFeDORz4yvaiwDxAoRnz2G87hriVTjGS1Vp7YsW6fcVjaWTbeuPU7V/qFgF3L9G4jNH0DFNgihxqipr+iIdJfJkGryf/cmOHsBbP4Ay1sPoQQ+WYhDxFAKhCWwjUNTkY7GlBY3WfJvKNpXdUBGM60sXlHwbftyGPIXVOtRNUrRzbVChM5cgFz5hFa2jBSgmvVDDbmZIm/T36yxDOClAOPt65JnNgDy7evwTn2dvBq0KfslUYaz+vQzV1CLmBzBDJI0adL8PsmN+XC0noK31SikAEtBscggFjsyawWHQyLWfVT9oO3LUBMeosD2E6th5FNKQcjIQ655Qc9VJ/03tbEMsGc9tpIUdjoPZ4cpICRuEdZ6IqnI/R6h4hhPDMM+711UPIr4sqoIqD34LxRX6LLhMEF8+WJ52UzBLlhUkrnVZoQuo3rnLzrarWwd6e51PsIdwrX0X4jd67Brt8V37LkUm7UptmomNqkU4E4SfQw21BHtxseBNHCKOA6HPGLfcc3uTZVnphm1EuYnw5CErB0Yr54HFcr1PC2H4DrpAXLsjAMat7l2iNC015HbPtIZWHYcu9NE7HZjyFOZKNtGKYhEfr0ToySOyN1e/aCcbcjmAuvX+zESSBvMaX5T2LbCTqE0fSTJi3vxdL8YT7czEdmbEFYU4XDDmllQ4sGVyx5AbngT7xnzyY6HMOoNQtTXhlxoy+uQ+33K88vtS3H0DBMh0evtcth47VwktjYWc7ajGh6bvOVUrdZQXQ9IQHzzBrQfq2utSut4c39APD8RdcFiWDkTkcrjqRRsWow1/TViwkNmwTqdXrN9ORhOVJfJGIP+hGHUOqR63wKRSeCM15GzTtOK4mWfqxWMu1+35ap8S/EwhUZtalIaZduKbDuI69grcfc4FwHEcOra7sOoTzZNiVflYqg4SkjCwp9aEfwoYaoI/Lgy9YC932JaxfArN5iLRRCjx1nI0tT/Stg9z6VYBtMGc5o0aWpEWQ1qGUfOkHKIGJgHMPhcQVj9At5jphOpoeBVyMjFfObE8pIz4wBLc28WCkE0rojiI2gUQM7W5KKeFVEl64qv5mJNeBRj/RuI5Q9qDZJ6HbEH3UikzjEUx8s/o8fORa54qOq5hIARt8Mz43XtcimRPFhyD+RuR9RuC5sW6brVTx/Be9KDqGajCdegQ4NSCpXRMqHXM417wrC/wkd3w6Lb9aMKNCA46AairUaTHz/8LILDJShyMJ4+oUpJn9i8GGPWFAKnzSbX1r8Lp1nSJiyaDwJsR5BCESIWV2TbAcxmJ+FqOgyUTVT6iMUVR/L3fDSxcGA37In8NnnPaiip+f6VRJdrQtpgTvObQQhwGRamXYwtnYRtV43SUA6VUvGNzFptMJ8coYWoKrN/M/LbN3G0nVrSgkghpUD5qk8hVd5aug9uybvCkIKQyEaueES3frKi0Goo9DoP3r4O1f8KyGiq06dKseM6ClsdhhMadIOpL8PeDbD4Dm2c5v2IyP0eVZ0aI6AK9xJ118Pz/YfIWVPKhUKsKGL1c7BxIaHzFrGfrOrvIwlRS5Ln74jvgiXI/d8h875HBOrrFKbXL0vaM1L561cblU9GJC6IJNTJHPpvJmAW4/xxqa6N3vcdODwYx0zD2/+qGnmOf1aE+NWXYkfiEm+fPyB+Wl1F+Eu1GIjV62IisXT3wzRp0vzymPF8RKOeWkiyzUgtlOnwav2NzR/Aqqfh2LMRcy5AujMqrAtS4zRBfvFs4nz34yotorXtk6TH2L0uoqhEDVkIMMN7EJs/hFbDoIKadALeWmVRa7n6GaIdTkV1PwejwziseBwLkyICWJXuVwqS67m0GASbFicayxVZO1tnqBmOMiFVOe9SvJeuIlxDoa5CAgQmPIx8ebpey4y8HV6Yklijnb8DOf8POIfdirvz2T+787oipimRWxan1r/Z9RVG/vdIX0c8ogj3tsXId28s6wJi+OsRHP1PihsOoMhyE4/bxEvaifFrWlvUgGjM1lmEH99VnqVZEX9d7NodDyt48XNTo5XIzp07uf322zn99NPp3r077dq1Y8WKFVXGRaNRHnvsMcaOHUu3bt0YMGAAF110EWvXrk0Yt2rVKs477zyOP/54unTpQp8+fTjzzDP58MMPq5wT4JNPPmHy5Ml07dqVvn37cvPNN5OXl1dlXGFhIbfffjsDBgyga9eunHLKKbz/fur2QGl+O7iNGJnWj/g/vgnPK5PxLphBRs7KanvyHgmEEIi9G5MbyyXIL57BZZf/Hm1boep0rNqbsQJ2n8sI266Sa0BI7MN4cihi2f065ak4G76aA8+eAr0vQqx6DjW0Uur13m+hQVc9eaei4zh458/wzDj4+jXdD7q0P/HOtbouuBpUk744YnnIBVcmVw4v3ItY9gBu89C8hDFbkGOFyMnsSV6rU7FtG+acl9RYJrMFQkgc5i+jAuk2Yji/fgE5+yxtLAPEipGfP47xzImEZNV30tEiJjyo5senHlC/60H19f4lyYn7iZ78JNa576KOm4E67iKs894jOu4xcn8lat5p0qRJg0KLYZ7zFjQ6FuZfBc+dov/t/VYLXgUaQsEO5OeP4bZzqz2dYUj8Kruq8OGKh2HIjVp8tPItNOyO3f1MovHyc4gfV2pjve+l2rBMxoCr9BiAkiw9hSDurk2OFSLf8iWN9kks3SqrMk16wzevVfv52LEGslpVuHmFWDcXh6NmRm3UkhTW64M142PUiL/Bly8nGssV7/Ojf+JR+TU679HCIeLIykJtlRCbP8DpMHDvWI58bUaZsQzoMrrZZ+PZu+aI9LD+pSkQGdhT51RdC/vrYZ3xBgW/IcEvqKHBvG3bNhYsWIDX66VPn9QL7L/+9a/cc889DB8+nIceeogbb7yRHTt2MHXqVL777ruycXl5ebRo0YLrr7+exx9/nL/97W84nU5mzJjBggULEs65YsUKZsyYQf369Xn44Ye57rrrWLRoETNmzNCL6wpcdtllzJs3jyuuuIJHHnmE1q1bc9lll6U0xNP8NnAaFr5dyzAe7otY9Qzs/FKrQz87DseHfyNgHF6j+Iq4TJsMI5dM9pBh5OJyKO0drQ4rgqgUyivEj33y40mNWdXpFOJZ7cqikW4jjvz4X8m9kvGwrhdqehxi/yatjhlqXHIiG7Z9ghrwx+T3Vb+LHluatr3tE/jgHzD4+vLjm/bVKU/JcIewm/ZDhPen9iIDcu3LuA9zorJtRTRqYdfriup0ctJ74cR7EW9fj09VvwgB7ekNyHxCMhe/UYxhHL6R7aUQufjvyXdmb0F+uwDHIU5yTqeB02nW+D6LlBd71D+SL46kgX3C3RSS4nv9laEU5MX95Pg6ktf/NvL630K2pwN5cV+13d3SpEnz28ZpKjKMXLLi28mKbyPTyMVp/nr/6CPSj12/s3Y+L/677oIB2gBdvwBePJ2ytLFwbvJSqhK8RpiM/Z9i7P2mquBlwx46g2zaHLhgsf7f3hdjT36e+KQXyYmXl9ooBcKToe9l+UPaKd7gmPJzBRvCCf/S59vwlr7dDuOJygOX65imhD0btMhXZZSt+0FXhzSr6GyI/d9VK6xUmbDlJNvRDKvNCdpZkYpYEaJgR+r9PwNKSJTzAM/VHcRtZSPfS6E9A8j3/oJX/XwO+KNF1DLIy+xK/OJPsSY9iz3idl3id+5ich1Nqm0/+mukRinZvXr1YtmyZQC89957LFq0qMqYWCzGvHnzOPHEE7nqqqvKtnfu3JkRI0bw1ltvcfnluiZx8ODBDB48OOH4IUOGMGzYMF566SXGjh1btv2uu+6iTZs23HfffUipF6N16tTh3HPPZeHChYwZMwaADz/8kKVLl/LAAw8wYsQIAPr06cP333/PnXfeyaBBg2r6TNL8yvCJfK1CnUTgSK5+Dke36chAl8NKhxUCMsx85PIHkKtmahEiVxCj1/mInucl1tFUwm43lqjhTygtiVoGhfX64L1oGXL5/YgfV4GvNlbfPxCv0yWhD65LFSLWvpL65nasgVptYMHV2H9Yi33WO8h4ISCwTB9KmjjqdER+eIeOfLpD0G0qtBsDs89NPNfWJTDoOnBnQO02iJztcNoLJe2aKohv+WpjT5tLPhkED/TiTpZuc4go20a0GgadT9X9mMO50KSX7vv43q3w/QpkNA+M1MZgyCzE3LoYuew/ujarTjucA28gmtWRAuvQoq5SCti7vtrPKtc8j6v1ScSoeVTUZxTjiucgVs5BFO9DtR6BVbcz+SpUbV24bSsKnE3wn78Y+c6Nui83QJPeWKPupMjT/DdVGwSlTpPfsBJbmjRpaozPCOPe9j7ynRugaL/e6M4gMPwWIi3HHvK7+mhgmhKPnYdUFqJhD3j1guQD83fA13Oh1TCUK0RcJP8MTlPh2b4YOfcCOP5q7bguTaUeebte67xydrm2R0Yz7LH3UlynO0UxB1Vqbep11M7TDW/C/k0w6k7wZJTUNAtY91p5i0hPJurYc4nEBQeS7DQMidjwJjTsBr3Oh8+fKM802/wBHHNayrRxhIT6ncuzsUpQjfsc9NykFFhKYlaXTVd6zV+QaFxg9zwP48tZyQcIgWo9Chkvrtq9oyK7v8Gww1DDGvhfMzHLIJsQRoNhyEbV9yH/tVMjg7nUUD3QGCEEgUCid8XvLylud1Zf5G+aJoFAAIejvEXQrl27WLt2Lddff33CPfTv35969erx9ttvlxnM7777LoFAgGHDhpWNE0Jw8sknc9NNN/Hdd9/RunXrA3/YNL8qDEMgd36Z2LKpEnLFg7hG3k+xfegl+UGjAGP2WYgfPi3fGMlDLrkHtWM1asqzur9hZdwhVI+zkzaLD1sOIkYj3ANvx7DDKGESxoNVqam9QFWviAl64hMSpRQ5dhBK6pew9D+zyWi80/riIIbcvxFWv6DTxJJFx/dvhvEPwudPQfdp8P4tMOEhiOSjivdjZ7XFzmpDASGElOAKVeswUK2HE02xMDhYTGHBwuvBFYB2J0CwgW6b9eE/yyfqapppBo0CHAuvRmyokKmyfTnGc+NxDfsrVqczKbZS92+ulgMJqlgxDkaQI2AU4Vz5MPKTe8q2ic8eQ4aaEDpzHjmyTrVOoKhtkONsjuekx3ESBqWICzdF+A5JhC1NmjRpfg5MU+Le9TnytQsTd4RzkPOvxHVqkEjj0Qes/z0SGIbARz5mPB8i+eCtVdICyI1SEDSLMH9chrHk33oO6nNRWUpzUr6ZD51Oxm49kuIU4lZelYdc+Cf9H7u+hsE36OhpGx3s4d2b9Zzbepg2An/6AvnCqbjPfY+wt33CvCCEQO3dhBh+iz6ufhfdQcOTAT+shB8+A38dOHs+ausy7A7jySOLmhgstq1QGc0Q86+A/lfBWfPh+xV6vdLkOAg2gtptYO/Gqgf3Ol9HtCsGOpw+VKuhh9ThJCIDODqdojuXJMMVQPnr10gQ9Ghh24q4v2nKfuD28X8iLP26HVV1CKGj97+jadyy7N+MGnYqjpjol2EYTJ8+nVmzZtGvXz/69OlDdnY2d911F7Vr12bChAlVjrFtG9u22bdvHy+99BJbt27lT3/6U9n+b7/VPcjatGlT5di2bduycWP5H+nGjRtp3bp1FeO+Xbt2ZedKG8y/XqQUZW2UYrHyvyohhK7prQZRuBep4hzqz1lKgZGzOdFYrnj+TYtQQ2/CHnIz8pN/l7fAadwT66QHSiaf5CgFxXGTck9h1TdgHAdmox5a6CMZ3iywY6g2I4lKb1KbLB63ySOAzyjG+9HdsH1Z6g+c1VJHbzucCMsehB8+hxcm63ZT/a+iqM6xGFYxwfhPiHWvQUZj1MBrEe8maUBvOLEH/7nECD28t7vXjMK2pVrs7Js34PMnqw5yh1CujKSqyVIKzNwticZyxf2L/oan4ykUc/AGs20rqNNBL15StHKyO0zQaW7VrAVM09BaXErh2Pd1grFcRu73GHPOwT/xRfIO4GG2bUUhHgqp6LD4Hc2yadKk+d3hVbm640IK5Pu34j2zTyW16yOPaQiCsR8w5pwDu9fpWsue5+HpNAGP4UI5A4iP7kJ88aw+IKNZ9cYyaMd2q6EUOeun9O3K8D4dPc5sAX0u0c7rUx7TjuL5V8EJ/9RZZZsXa0dtz3OhOBv50T/xnvAABRW6a9i2jXJn6AyxS1bo9k5WBB4dAuGcChc1YMKjhB1ZxOM1myNiMQvVYTwsukUrXy+7Xxvk0qHrrJ1+1DkLYdn9iC+e0z2JM5rCgKvB4YbXLio/mTsDTnn0wEKlKYjEBb5jz4fVzyXW/ZY+h2G3UKR++a4QeZaP0Ig7MduegFx6ny5nq90Ge+D1ROt0pSjuRho2ZtO+KddpqtWwIxaESHPkOKIq2ddddx1+v5/LL7+8rL64adOmPPPMM9SrV6/K+CuvvJK339aS436/n/vuu4+BAweW7c/JyQEgFKpaGB4KhVi3bl3C2ObNmycdV/FcB4sQ5c2+01SPaep6loN9XmZ4HyJnq37RuwLQfiyWOwvboV9+omG3ao9XTfvi9AcxSV5PI0qCv6nqIaUAueTF6m9y3euoQTdiHzMFES0A04ntCGK5Mg4iATcVHtSI2xEzxyTf3ecSWP8mnPAvTF9mtTIJQnhQfS9DpDKYvVla1bPLRPjsCdhUobwi9wfk4tvxtxsDn96PqNjqZ8zdMPxWWPqf8vS5uh1R4+7HDjUlKMs96VIAdhwlzRrVoMp4ITJWiLBjiM2LoPdFum90kqi7GnQD+GoTEuWvLiFA2HGEspCLHkt9IWUjt35IRtdph1Qbq2IZqF7nIz59tOpObxai++l4PB6S/fplvAAjnAPbV2iHS72OOrMg2DB5ffhPX+C08gmFDqwmKlUMGc4BFLbpxXYcnTSuQ/37TvPbJP19///i5/y+zYJ9yaOSpeRsw1SRo34vjuKdiMdGa+PVHYLJz8KqpxFPjASnHzHxCSg1lgFyt0Pt1troS5FxpLpOxqrVHhcypWtW7inxqvaeAe/fqlsE7vsWRt8JY/6lM8Teuq78gOUPQdM+iME34jIsDH/icxGOlrCvKbz3Vzj2LHj1/ERjGcC2EHPPx3vp5zhCzYGafecqXgs17gHE65fqLKoKjn01/FYsVwh5/DWItqP1xqJ9Oius7SgY94BOPc5ortPO512O7H0xGW3GHNIcbONGnvc+vHcLYv0b2nlRqxVq2K2oZv1xO3wHTDP/efBgdToV1WowwrZQ0oHlykRCyfrNgxp7D+LxoVWzJ51+GPUPTH/1a71DIf1Orx5xgNL6I2owP/LIIzz++ONcddVVdOvWjezsbJ544gnOP/98nn32WRo3bpww/tprr+X8889n7969zJ8/nyuvvJI777yTE088sdKHSP4pKm9PNe5A+9L8cjiKdyFemAy7virf+O5NGP2uQPS7AssZQgUaIep2gN3fVD2B6YIeZ2EnMZalFcaI5GgvXsEuaNwLldGMuLv6lk/JUdjCRHnrU6l18hHBqtMJY9IziDf/WO49dfqg72WoFoN1TbHzwN52pUA1Pg7ajEJsrNT/znCgTn1S17t+dFfyNPdQE/hpVaKxDPDmNdD+RNSkZ8FXS9dLuQIobx1UXLvRjWgusnAnfP4UonA3quUQaDOSuLsOKkltkbTCGPk/wAf/QGz9WH/ezqfq/z3tRb2QKBUs89WBfpdDx3HYFYxlM7wbsXUp4pvXUe1OQKRIGy/jQPurwXb4kcf/CXx1EMseKFPrVM0Hwon3EvdUdQoCGNE85PdLtTBLtEB74eNhLfI2cSa8NK1cPKYiBbsh1LLae3IU74IVDyHWvAixMKLlYIwhf8EKNsE2fh1LhzRp0qRJQBrVZuuUjTmKCBSse6O8TnjEbbr0p7Qmt+WgMpGsMpSCb+bBcRdoI7YyocbQcTz2AfR0lb8uwuGFep1h4Q1647alOjlox5daQMwV0G2r2o7WhqEQkPsD1G5X5Xxxd20cTXsjltwD0aKkEdiy+//8CeTQW5KumZJhm15oexLGJb3g00cQe9ajareF4y7ECjTANn26j/BzpyQe+NljOpvNXw8KXtVO921LdeurNmM5lEwohSDmb4w88T/Ikbfr8izDheWpfcgCkUKAUbxXz8vSQDn8WM7DN1WVAstVK+X+eKgl5oVL9Ppn/TydmdBhPAy6jri/0WFfP82R54gZzJs2beLee+/lhhtu4Kyzzirb3q9fP4YMGcKDDz7IP/7xj4RjmjRpQpMmTQAYOnQoF110EbfddhtjxoxBSklGRgaQPDqcm5ubEHnOyMhIOQ6SR6lrglKQm5u6fjZNOaVeq5o+L58ZxrHgikRjuQSx9D+IJn0oqDcIpXxknPYSxsvTdCukUjyZ2JOfJ58MopWu6TGieH9YhHj9kgShJlGrNcbUOeRQu6wOSEpBRpfTMCp6kithd5hAbm4x6qjJ9ho4Gg7Ff/5HGOF9CAS4g7B3A+L9W2DrEkSPc7AH3EC+ldxidxtxPBSgdn8Dw/4KPc5ErHgIirOxm/RF9b4YHF6MWaenrgnvexnio7uS71s/H7F+Ptblq9lv1ybk9EDcIje3mIBRhPnZ/botVgli3evgzkCetYBcV/OEulrTkIRyvkA8N6HcU1+0D5bcC+teh1Mfgx5nQa3Wen+8GL55k1hc/76kFGSo3chnxpZFaEVxNrQaojMVUmA37U9ubvgwvkc3rq4X4ekyFRkrBNNFRHgpVl7s3LDuwa1U2eQtpSAzvhOxd4NWKK9YU95iEAz9Cxx/DSy8rsqVbG/tav+WsowcxMyRCRFqsX4+fLsQecYb5Gd0O6RasVQc7N93mt826e/7/xc/5/ftMzx4Wo+o6tQtQTUfSER5KDiK9+I1IjhKr+8OaWO3ooCV6dI1zZVZ8TCMux9G/A1WPKTfv4YDOoxD9b8CO1JELJ5DUTVaGW7Th+/4a5Cl84Hh0POdOwArn9LtpCY+pcuSnp+o5w3TDV0mIloMIi+vOMFANE1JaPOHiOYDIPf7aj+32L0OqyiPvJg75XcuhKg0R0qEbIiz/y2YKoIlXEQsgS7FLSZkCJyB+lpksyL7N+t/hqMsFVvV6UB+fvgwRSnLY7XEgcih/U58Rhj3rk+R7/6lvJVl075wwt3ku5oQs6o6PlymjUflIew4SjooEiEOVatSiHp4hv0L59DbAEVE+AhbJirvyAmpViT9Tq+eWrX81UaZj5jBvH79epRSdO7cOWF7IBCgWbNmbNq06YDn6NKlC4sXL2b//v3Url27rHZ548aNDBgwIGHst99+S/fu3cv+u3Xr1rzzzjvYtp1Qx1xaB922bZI+cml+UVx2IWJTauNGfvRPvJO6k2/7yZG18E9+BTO8V/c79NfDzmhOoQoSs/Qv3G3auFUBQiikHUF+8Peqqsb7vsN4eSr+KXPK6kNtW2FltkI26on48fMq96FaDibua4iqYd1PRUxD4CMXM5qLiObrZu3SQVh5KLZcCZNSLA7CtBHhHO3ZjuTrXof9r4D8HchVT+HofAoy1KOKGJTXCOPZshD5+RPa67rvO8hoiup3Oar5IAoJEo5L3MrC1/N8ZAXDNuGzNuyGSNYDuSLFOeAqj9JLKXDkbkx+znAOxqwpBM5+F2UojHghWBGkGUK8flHytLb9m2HdPP0ZFpS3zLJH3kGRkQG2jU8UYrx+cWI689aPYfB1Ou28NG284mdr0I24twHqMAWxInFBhBDIENh6ceGXBTjsHNi3Bby1sP0NKSCEW0aQe7bA+7dVPdGWD2FZBgy6npLC5vJ99bsQd4SS1mqDnrTF8geSp3PbceS8y/BNX0Auv3xNV5o0adJUpMh24xr5d4zvl1ftq+v0Y59wF0XKy9HUY1DSRDn9CIA67XUacUV2rtXlQV++VOlABa9fppWwp81BFO3V89jGdxFPj8MI5+A58b+olidSbCUX/QrHDRxdpuOK7kN4a8H4B+DbdyBvh84smvIcvPUnLQhWSjwMXzwH+zYTmPAkeVal0ht/fejRHQoqGa2VyWiKFDamKRMyLw1D4icXI7xPZzwFGxFzhChUfi3+pUrnvqqZS8UihNn3Cq14nowO47QKuDsDu94xh2QsOx0SgxgWDqKxw3cEO0yB+/sPdQeWimxfhvHkcAIXfEy2bFC2RtOdVAqQy/+LXPW0Lq3yZBLofQlWtzPJiR18cZ5SUBR3UkT1oshpfh0cMYO5bl3dYH3t2rUce+yxZdtzcnLYunUr/fr1q/Z4pRSffvopwWCwLLJcv359OnfuzLx58zjrrLPKDOFly5axa9cuRo4cWXb8iBEjmD17NosWLWL48OFl21977TVatGiRFvz6NRLOTV1YDLBvI0aJxWDbijz8CKcf2bgFtk2Z4WMYghDZiKX/Ra55AWKF2tAcdQdsWgyVa053fY0Z3otw+ssun2f5yZj0HHLpfcgvntHpOa4A9rHnYve+hEIrwMEoIIPuHx3I34Ccez7kbNcbpYHR6WS8x12I21uXXFEbq8T4DZpFyOUPaA92KV88q9OkT3kUXr0AufQ/uMc+QpFd7r2WUuCJ7UHWbgnHTIZ4FBp2h11rEW9eC21PwBj2L8BFOG7g7n0ZIpKnhUxKU+KcPuxR/8Q2fZgZTRIn6sq4Q2XrGCEgYBSmVq4EyP0BM/97xOrndBpeJB+OPUenl6Xiq9kw5M+wfj6g08ztTqcSi+r7ddiFsH151ePe/gtMelqnuVXIXFCtR2CN/Q/5VoAjuQgTQpBp5CDnnp9QN2746xKa9CwqoykseyD1Cb6Zpz+n018ezQg0wJr4NAUq9b16VAFyTTV19/s3Y8TzQaQN5jRp0vw8VPb7pUIpRZ5Rn+AFHyGX3qfFJZVCdTgRu//V5Ivah9UmsiZELBNPn8sxcn8A0wOOSnWdu7/RKtChxsnnquwtiOwtMGtqlV1ywRV4LhtIMcnLvwxDYBBHxSMw/kHE16/Cly9Dm+HQoJtef6SYg8X2pZiFPyG97XBKC0NFieNCNDwGnhwJZy3Qc3RlR0QpXSZjWGFC2xYhfloJtVqT1X4cIrwf+dL0hHZHRqMeOE59mhyZVX3HhrjC6ngK4vvliG9eT9zZoBv0PAfmnI89fS75ByHk5jAlfrIxVAzy9yI2L8aOFqKOmU6xmZXSIVETfCo3tYEfK0Z+8Hc8I/5NUVxfI2jkY7w8DfFTBXHW4mzkB39H7FxDYOS/ybcOX9Emza+XGhvMCxfqHnFr1+qU2M8++4zs7Gw8Hg+DBg2iR48edOrUifvuu4+ioiK6d+9OdnY2jz/+OMXFxZxxxhll57r66qtp1KgRnTp1IjMzkz179jB37lyWL1/OTTfdhGmW39Y111zDeeedxx//+EemTJnCrl27uPvuuznmmGMYPXp02bhBgwbRu3dv/vznP5OTk0Pjxo157bXXWLlyJf/7X6V6zDS/DlwHECcKNcZWiSkxSlGlZU5I5GA8NQryfizfuH25bn8w7n6tulxR3Apg33fIRi3KzqUUZMf8uPveiKfPZWBFkYYJCOTGd8gwTFTTfoSFjyKrZrWhfmsv8tmTEsWrbAvWzkZYcYxGPQh1PIX9dgaGIXHsXoOoaCyXkvs9vP1n6H8lYuVTSDuKaXp1awKlcJkKsXKWVrCsWBPWZiRMeRYxazquoX+lsESCJCfmwzfgZlyD/4Io3IWyLZS3NkXKj4WDUP8/VvW6ltLkOGLSh1RCOx22L0XUblt9Glizfgh3SCuC7lgN3lq6PmvwDfDhnclXWJECPf74a3QPSF9dCglR1jOiVKm8MjtWw7wrYMBVqMa9sSN54K2t24RYniOeUh+Q+RivnAEVJ1GAgt3IZ8ejLl4GezakPoGyUdECVM/zEYW7sNuMRjXsSZ7KwD6QFz5WVP1+K36EVSrSpEmTJhEpBX6RjxnPg4J94K9DzAiURSZTEbdgP7XwDLgFZ/9rAIiWpqQe5W5STsPCJwqQ4f2ozhMRtVppMa/Pn4KcbeUDF16nndXv3qy7SZTSrB/qhLsQs05PfgGlEN+8gaPzBQldP0A/r5C9C+PZcZC/Cy5aAmtn651rZ0Pfy+C7d6u9f7n+dTJ6nINc/E9EzlZUp1O0w7Vgtxb7OuVReOWcqnPE8FtR0QLkolvhqzllm436XbThX1ko7MdVGC+cQmDaG+Ta5c5XwxAIIbAshVIKt2EhVBw15EYYcCV8/ZpW6m47Gkw3Km8X9rnvUaAyiNewtVDIUYRj4wJdl537PfhqQ4+zkC2OhyeG4h39T2g26pCNZhnL088rBWLDfJwj/k4RTt1JZd+GRGO54tj183EMugHh8B1yLXWaXz81Xk5dccUVCf99//06/bJRo0YsWrQIwzCYOXMmjz76KG+88QaPPPIIgUCADh068PzzzyekT3fv3p158+bx0ksvkZ+fTyAQoHPnzjz00EMMHTo04Tp9+/bl4Ycf5v7772fGjBn4fD6GDx/Otddei2GUixYIIfjf//7HPffcw7333kteXh6tW7fmgQceqHLOND8fUuqUn2QTZ0z6MBr30n0Ck2D3vYIiGQI79ezpMhVi1VOJxnIpSsF7t8K4/1Y1mAMNkp42HJeEySDDUYhYeI0WYyhFCDx9/4DR6zLy4x5cpo2XfJ2SJSS2O4siESQaF7hNC7nkweT9lU2XTsftPQOx+jmc3S7DqQqQS1LUDoM2yEbcimo1DKdh49o0B/nli1C7DapZf8TS/1Q9ZuM7WnCj+zQo3gcu3f7Ka4RxxXMQq15E5P0AzQeiWgzCwiAet4k3PR5H19MQX85KPF+oMdb4RylUPkIyF/nsyVpxe/itutZ4z/qq99CwOxx/NTwxPLEe7PMnoe+l+th3b048ptVQGPIX2LtBp9Tn74Q6HRB2DChJIXMFUocz9m+GTx8j0nwE+aLhwSYG1Bgh0CUCKSZR4mFY9TR0mZSYNVAZh5/8465DCN0ezIrbHOimYzgxmx+PqPy7LsUVQLmCKVO6DxchwG3EcCm9IIsIP8Xx5CIypinxqRykHQFhEhUeipXnqEeQ0qRJc3QxDEnI2oEx5+wEfRGjcU8cJz9Jjqx1wL/z4rhB8RHXA06N24jj2/sZcvbZiY7X2m11KvRL08ozwvZtgjkXoEbcBhO6aYEwT4aedz57rHxcEkTO9qRiswGRhzFrqo5aBxrAj5+XO7q/maedxJtTvNfLkBgLr4WN2rAWTftopW2AT+6DY06Haa9owdPd30CgPrQ7ATZ/hKjVRq9LSkXXmh+vx1U2lkvZuxEjZysy2BVTxPGJfMSO1Yj8XagGXSHQELH1I+SbV2sD3ZMJzQdgtz8Rq04XipQPO2gflJ6G3yjG/OA2nZVWSuFe+PjfOhAy9m7k3AvxXbICt+mjSPmJWAcrEncgIWBRluDlNMFYnVrjBkCsX4DZ/fIqDpKfEylFiY4Kh1kjniYZNTaYN2yoJkpSQjAY5JprruGaa66pdtz06dOZPn16TS/NwIEDE9pNpcLv93PzzTdz8803H3BsmqOL07DwkY/YvwkRK0TV6UBE+im0ytOeCpUfx4RHMSoIN5WiOown3nIY8QPUqrjtfJ2GnYrCPVrRWRrl/RP9dbGDjVPWsrpNC2PZfxKNZQClkEv/g7NuR4LNh+H4+kXkh3eWTbqGJ5PAqH8SbjoUaUcRWz5IPL5xT+j3B21kRvLAk4kMNsRl5yOxYf8WqqU4G3qdj/HMSeUCFV0nIz6+O/Uxa1+GqS9r5WlKRC7WvZjQA1N8+RLSHSJ05nxy3S3IjXkJDrkNZ5+LdYuNSB6q1TBo2gdL+nGquO5HvWcDDL9FR7Z7XVCWPp3AwGvgtUuSi6csexBOe75ERbOk13brYbrn5DMnJSxmhNOHf+oc7GBHYpYkInx42oxCfLsw6ce2B15HEUGOmrUMSCkRO9dUO0Zs+wQ17JbkmQMAdTsQcwSJHqRqSLHy4B76V8TmD5Iqzdr9r6JIHJ1FqMOwCVh7kIv+ifj2LRAGRqdT8PS7gjxRm3iFvyufUYx7xwrkezfr36wQGK1H4hr5d/KM+jWONqRJk+bXR1Dk6Pm7stjTD59jPD+B4BkLyLF/nrIQh8MoczpWZ6R7rX3IDQtgZInGybdvawN177e6HdOU52HuhdoBHKgP3acj/HVRholYeL02cBv3go7jq70fu2m/pEaLEdlX7ly2ono9UHZQHGafAyfcpVtLpUC0GAArnyzfEC0EV0mq8/oFuodzw+46kGC69frqq7m6neTcC6HVYOhxho5C1+2QMmhRdr3tn+Dp1hH3T0uRr56bKBpauw2c9F8dAc7Zrtcp38xDfjMPht8Gnc4lfpCiWM5YNrKisVyRrUv0eiPYCPHFc5g52/A36Y2z/STy4zVvl2Q7AhjJhMpKUB3GHWQv5F/OAWwYggC5yLztiB2rUYGGqEY9KFQBogftSEiTiuq179OkOQS8RpjA9oWYD/fGeG488qWpGA90x/P+dWQ4CsrG2bYiV9Yjfs572Cc/Dh3Ho7pNxzrvfaIj/0VujUQUVPIobkWsGIiSl4bDizX5BQqq8Wh7VD5y1VMp98vtn+DcOA/57k2JHuribORrM3DvW4MQho6CltLuBBjwR1h4vVa9nH0uPNQPvl2I07CxhBOyWlT/SWu10QrSI26DM+bCma/rWm2jmpSkeAQQxM0AQghcxT8mGMtlhHORL07CTx5SCkyrEPHaxYhwLhhOxLIHEf/tjuPda3XtT6mTwunXXvjvP4VhN2uvNehFQNtRWhmz1BhOxuoXoeuU8v8e+CeYc37VlOtoIfL5kwmg20IV2W7sE/4N9btWOaXd93KiDXoddQ+rUgrlPUCLMk8GZLVANetfdZ87hH3KExSomtd0lWLbikJ3E+yps3WdXSlOH/bgPxPrMp1I/Oi00guEt2M8OgCx9mXtCAnnIFc+ifH4YILWrrKoitNUuLe8jXx5ermDRynExrcxnhhGUO07KveXJk2ao49pSuT3y1IaHOzfjNy7vizL7GjhNcLUMnMIRbYQzFlNVnw7tcxsTLPq8tbrsJDxQm2YfnKfznRqchyc+YZ+j+7ZAIW7oc8l2tE8vKRHcv4OxIunaWMZtIHZeni5kVoZTyaqSe8qc5CUAnIqlC8V7dMilc4K5Wl7v9XCXc2S6/6o9mP0+7RijfKGt3RLxlI+uQ8W/x2OmQo9ztRzrBWF507Vn+Gju7W2y+h/6Kiw+wDOVX993JHdyFemV+2wsXejFucccmOVw+Qn9+JVebhMG78sxGtED/h7cDgMxIYF1d/P+vm6y0Tej+D0I9++Eef2D3Ak+c5TUShC2KNTZPU5fdiDbqDYcgAQs8DqmiL9vgTVbgzxX8ADrFP8d+N4dizGzNHIt6/HmH0m5v96Edi9DLdxiBLeaaqQrnBLc8RxF2xBvnZhle3i61cxnT68A28tE1KwLJtsgphNx2A2G40SkmhM1ViROip9OFoPR1RWsizF4UEF6iOaD0A164/deTL5VF9HI2JFqdsuAbQZiaig3lwZ+d5fEdNex+55PnLe5VpMpN8f4NkJica9UrDhTYSyEGMewB5wLfLFSclP2rAHuAII06V7IpcuUuq011HeL1+Gr19NeqgKNqSQEG4jmlIdG4D8ncjcbfgyWmPMmQG71+l/FRBfz9UpY6XPZ++32pP98d3Q63w4e4GemF0BLVpSTY0QALnfo0b9HbvDePBkIbcsRqR69g4PYudqnI2GE43GybYyCE55GSP/e8R37+k05HZjiMgghfGj34PYthWqbiftHEhVT9x1il5oDb4BddwMRIm6pt1mNKrzJPLIOGTDPmw7idfujf/sd5GxfLBjKFcmRUJ7lZ1OvXiIxewjVrttRHIw3rwy+d9HcTZy0a14RtxLkeXEq/KSO2cAwrmIZffj7n8T4RSp3GnSpPn1YkiQG9+qdozY/D5m3T5Eo0fHkPAbYdzR3Ygl/4Z1r5VlkYl6ncg4+VEsdy39bjacRMwQ3rxNiKfHJr6/PviHjpKe8gg8M0GnMK95sVx0y5MJvc7T20tp2lcb15NmwtwZiX2PA/VRU54jLDOoHHVUSkFGU3180T49f37+pHY2v/Wn8oFvXqPFKxt/pMt6irPBVweOm4FoMRCeqRTdzv1eO5nbj9URZoCivVC8H16YQlK+ex+Om6FTnEfcVlUNvBQhofUw3W7STvE97v4GPFlVxcZaD8e08vF/ei/yh89Qvjq4+15OPKsdefFqAiJWDYIgDq9Oo9+2FAC5+Ha8Z/Ynt4aiYrG4orhBXzzTXkW++2f9GYRAtRyCPfIf5Bt1UCUf17IUdp1OyHpdELvWVjmXaj2cuKcu6hewTQMyD+PZUxPE2gAtXPbyNLwXryBM/Z//xn6HpA3mNEcUI5qHXHx7yv1izYu4j/9TFRn9eNwukXM6OOMhbJl4jr8WY91rySPNvS5A7Poa6nVCFO2DWBHKkVn9SU1X9XKfzkD1huCur5CxQqyWwxENuiHqddKTUYpIuPj2bRwj8ojWPQZn74uRKx5KHBBqjDX5OeSWDxInVdCpXS9Nh2mz4fvlVVPbmw0gaoSw4jaGjCCyq28ZJbK34shooj3o3iydHt1ikJ6gpAHrFyDyd5anUX/5Mkx+Ri9WPn8SWg6Gr17Vxrs7A05+qNrrqdrtCcsQBe5auJwmgZ9WVx2U0VQvKJw+xP4tBIwPset2plD5yY37kb6OGD10O7tYzDrkul2nKfCqHIQVBcNBWPgIW45qRTwKCRCY8Ahy9plVfy/txmjnwc4vYdbpiDrtsIffSrxud5ThRMSK8JBP2JFxyHVP8bgihyDIoM4XsiBoFOIL70B88ZoWFet4MnFvQ/LtwxckEbGCRPGbyvs3zMdVKpQSztYLvRTIdXNx9b2K8M9Yv5gmTZojhUC5M6uvBPXUOmoiSFIK3PF9iPdu0sZfRXZ9jZg5BnPqKzrS2udijKwWiNcuSu7s27tRp2a3P1EbphWNvoxmicYywLFnw3u3gDcTxj2gjdWc7ZDZHEwX4t1bcI1/JKE2uyxttnA3tBio072zWsHS/+hI6ZTndJnSjyvB4cH+cRWiz8WIFscDQl9jx2rY8rHWx6jMm1fD+AdRnU9FLP8f1OuC2vhe9d/PxnehTgd9710mwdpXqgyxR91J3AbnjtXVnUlnmgUa6GfQ6wKd6l20F/FQf0RJ+0gBGN+9i+x6OsEhtyQ1muNxG9VmlBYETUWroVqg7Zgp5eNytmmdjIOgyHITrd0H72lzMewwCKNcY6NSyV6uFSTj9JcxPvon4ssX9XrOFcDueR5Wr4vJO4S2UoeLEAIj/8fyDK7K2Bbis8dw9f3LUcs4+/9E2mBOc0QRVhhRKj6RDDuuvZ7OAxitNUQpKDDq4D/rLYx5l5ZPbK6g9p7WagWvX1JmzBirnyc4Ywn7SX39iPDhaTVMRy2TXdOTUf0kZDhAGPoFO2UWRs5mxJtXV/9B9qynsN5g7N5/xNXjbMTalxBF+1BtT8Cu1xWlwHj/luTH2nFY+l89iS++o3y7vy6MLO//a0k3qlZbxI8pRKoAldUSwnnaSD35EfjkP/DxPbpO1nBC51PAm4kadJ2Osodz4MtZMP5/sPE92LGmPNIdztGLk6yWKV/oqt/lFMb0a8i2Fap228RnW3of86+EPRsQ6ElXOv0EJj5FYe1ehC0TIRSmKXE6TWKx+EEv0oJmEY71c3VtdsFuMBz4Op6MZ8hN5KjULTXiyoRGx6LOfhPx6WPaOPbX1alwphPe+EP54D0bkC+fgeOSFfDmH7Tipq82zuMuxmo9kty4/7AXlxmOAsx5lyI2VVhALv0vssUgQuMfISd2AGX6AyBSRRhKsa2kNdX6YAFdTytJwVcgTUxpYwpJPC1QkibNb4pozMLufhbGZ4+lHKM6jDtqIkgeUaznmMrGcinhXC18OfBamH0OYuKTOqKbii9fghP+pdcOFdtIRfN1Z4eK+OroiF72FnjxNAg21NsKdpVlf8l4EZToSBiGIBT7AeO58Ykp7E4fjH9QK1avewN1wl2oOu2JK4lt+nBtekvXBmNrcckvntUOaqevatlSPAILr8easZRYwwGYDhPzwzuoFiumI8jv3IQ67z1U54m6RWTeT6g67bCP/xMRf3MUBo5A/erXPXXaQY+zIVAPPvynTveec75en1RCfPkiZrepyFCPKnOrUoq4ryGySR/E90laR2a11Onzx/9Rr09KJ00hQZgHXUocj9vk4Qf8FY6tehKlFNmxAJ7jb8E94GqwoijDRbEIEYn9MsaolAJR2ZlTecyOLzBVMRG81Y5Lc2DSBnOaI4uQOjIZLUg9xnFk/3CjlkGurz2+0+ZiWoVIO4LI3wFrZsGSfydG/sK5iC+exnXsFSlfckW2B9cJd2M8PaZqxLb+MShvbUST43TdbhJUxwmEhbfkBesnmNEGV8V65mS4QygFhbaHIqMRjl7XIoQoU03Osn+sPqq9ebHuO719hU5najkEmvZBvH4Z5kn3IzztCVsGnj6XYVRWvy4l1Bg72ASpYjD23/D6pYmGrhXVzzR7G+rUx2HXeYjPn9DiJAW7YOQd8PTYxHMuvkO39ppzPuTvKN8uJPaJ/6HY1QBllag7ohAdToT3/1qe+jXkzzD/qqqtmaIFyFmn4btYq2QaO9cgvn0T5clEdT2NqLM2BRUE5qrDa0ZwLL8PuaJC+zkrhlj7Msb2ZYTOfptsO3maV1DmIZ+boMXlukzS4ie71+ney8lUw62YXgTs/FIfU7gHOf8PiGYDCE54nNz4oRu0LlNhfP5YorFcgtjyIcaKB3Ed96fD8jQrhxcRbFjl76KM+l10PT6g3JnlKXpCaKfK3o06I6Lk/SAzWxAa9wAFoU5ErPR0lCbNbwWlIOqui+vYc5Arq2p+2MdfS8QIHTWlflPaiGQZSRXZvBgcJeU55gHKdMK5qLodEW9dl7h93yZUg24Ih6c8Oq1sfb7SSG/eT4nvRCHAdOEyTaJRiwC5GM+eVHUOjxbCgmtQ57yFjSRiBCmMe3AYFqHwDt3TeOM7gNCaIJNmwoaFMPEpLd5VMYMn0ABr2lzyLR9xSyGVIKPTyRifP576M7c7AZW9DXvoXymSIWLu1ngmdEeqOJZwUazc2JbC4ZDQ52LY8Gby87gzylK3eXSgdjAU7Eou9lmCXP4g7hMeosh2VNmXb/nIOHUmxge3a60MKwpCotqegBh2s3aULP8fVJjrVLsxRKX3aOp8AlAcNykuDbiU/LalFHhFEQ5VBFYcZXoolBnEDiBae7gopVChhtWPCTTEFoferzpNOekVSpojiuWuBb1mIN/9S/IBtdtimf4jPolalvYSShkgY9/HGLNOSzlWbliAs9t5REhuxCqlyJV1CZ7zHnLTO8iv54JhYnc/B6thT/LtIKEx92E8NaKql9dXG3vwnwlb5ZNAkfLhOO4iZAoDG1cQldECDxFcFAOKmOWkGB9OEcdt5CMP5DWVpv5Xv7P+360fw6K/6V0rn8I55F9Eooqwuz6esfci3/xjoiPBWwtr6mzyVQiPGcFdsBuRKs1n+zJUwV7swTdh9LsctWUJKBshDUTFWi6Afd/BgqvhpP9A0T7U3o2oQANU61EUCW0cZhnZiJ1fIqL5iDrt4Oy34NmTdaTek5Hc8ISSdKNHcRgOncpGSaOIpf/B1fN8ZP8/kRc/sHPGbRcgP02hYp37PXLjQhxtTiNWqS2GYQjknnXlUYtPH9UR8TUvpr7nFIhtSzB3rMSoP+SQa5o9Kg9ZzeJIrnwKT68LiZBxSOcHsDy1YcjNyNcvSrrfHv43CkvUyQtFgMCwW5ELrtQR973fwpJ7Ew/I3oJ8djy+GR8RNZsd8T7ZadKkOXoUWF7kgBtwtB6F/ORuLWiV1RJr4HXEanU6qloSFga4DuBg9GRC037Qaph21Fc0ciuhGvfGcgQRI/+OXPpfxM4vUcGG2P2uwPI2wDz5ceQrZ2hjecNb0G1quWDWvk26dWVJdo1qNRz500oCWz7GPvZcZOHOqsayvy4M+6uOTG9ahAg1xlnvGOKmC1/4B8QTwxLvdf0CfY3TX4LPHodTHkUhUNnbUbXbYWc0J58MrJJUYttWWBmtkA26IZKkU6v6x6Aa9sBqOZKcnKKSNZlNQUIkUmEYkqDaj8j7SX/myurdhhMmz4RIIWx6DzqdCj+tTKzrToIo3KOd81Q1mJWC7Jgfz6DbcQ+8TuvKODwIw4GY94eqfaq9tbCH30aR5aYmIWYpBaYpUYrDzoBwGBCI/YB86xrE1o/1xkADgsNuIdps6EEpdx8stq1QtdpXrR2vOKbPZURsB7+kivfvhbTBnOaIohDYnSYivppd9SXt9GGf/FiJQvVR9LwZrgPuVwfowVcqRuZoNRlHyxNBGESUq6xHbr6rCYEZS5BL79OKjsLA7jIJ1etCcslCVUgzMlUE0agHqmlfxPZliRcSAnv8/xBC4X3vOkQ4G7qcipnZAnewAax5WQuajLu/2tRmOoyHlTN1ZLMSIpKHwAIERZYb1XIcnsuGIL55A5H3A3bT/qhGvSgUGdhxhYUT8e3b1T4fsfEd7P5XE3MGKGx5CgB+tR9HMgGsPevhhclQpz32mfPIi/uJxy38RjGu9S8j379Fp4aV0n4sXLxEe9Kzt1V/Hz+tgjYjq2yXnz+Oo+WQAxqghiHgx1Wp04gBuXYWztYnEquU0mQaBnLdnMTB2z6BtqPLBWOqXNCha+IKqirLyk8fIuOkjighiEofRcp7UL2KpR1NOWkCOipvR2t8vmQoBJHmw3CNuQe56Lby3p2+Otgn3EVxVuey5x2NSyKtxuI6NYQM1NW/gWTYceQHd+Ad9R8K4wf4202TJs2viry4F6PeQDyn9MBQMSzhoBgfVg2FOw+VYtuNu0lvhOHUEcjKCKFbR+Xv0KJY4Tzofobun5wEe+hN5FoBlOnHPeRODDuMkg6KbTd2TOGu3w/vRcuQyx9ENOiqo86fPaHnqIbddIrwx/+GHWsQx1+lWzYV7MLYvwnVuFfixXx1dLR44Y2wY3V5qZHpJnDOQsTbNyQ37GPFWmCz5WCYdwXxcxdTULsftq1Kam4Tn3meFSBjygsYi/+G+Gq2nmcNB6rzRKwhN2G7aqXWagFMA4LRrcjCXTrjbNTftTbH2le0QdygK3QYB1s+0kKf0QIYcKXuAlKnXeovD7AbH0dMeqoNnpRFc2UmWGAiCI65B/H5E8h1c/X6qdMpqB7nkkdmylahpQghCBr5GLlbdUtEhw/VcTxRR1aNM9IqE1B7MZ4crqPp0oTeF0L7sciCPbhyv8URak6BChK1jk7adgEBgpOfRz5/SpW/A7vPZcT8TavUY6c5NNIGc5ojTk48QGjKixhbPkSufFyrArcajup5Pvki66i2+9EetzZamTqF2rLd/UwiMgj2ge8jFreJUeolLx8fswTZog7u42/F2V8LcYVlsCTdtYKxbEh82WsRr5wJJz+sjcE1L+pUqobdUYOuB3cmxlOj4MR7dQ3wB/+AvJ8QddrrOuxRd8Cnj2jhq9nnVjXuXEGt4jlravLP2+5EPITxGGFsDIpkBvtjLhydL0AIgdvOx4zl4N+zsqQNUitUwx6Ib95I/WDM8hSfeEnkNWwGMLpNR372aNJDVMPuFMdN4nELw5C49q5BvvPnqgPXL9CKm836lfWPTomvbkojUS65G+/EnuRzBMQ4ks03AjArTbLfvq0V0b94Lnk7rV4X6NZgyRYpkQLkutfg/VtxNx+I88T/kGvUK/t7cToEXjsHYUdBOggLP8Xx8le4kIZuT5KqHMLh0WMOM7ujIO4h2mYSvtajEJEcnV7vDFIoQsQqlasVWB4ijUcRCm9CVM7GqIDYvBiHCgNpgzlNml8jUgrcMoK0o8Slh4hllL3GLKs8MulwGJgSDIOjpo6tr6mIO4OYw25GvJMko63nhaAsbcRu/VgbM5Nmaoful7PKy37cIdTY+yj2tywzLPR71V8y5ettYctBxGhEcNBfcKx8FDHvivJrfbsQlj2IOv0lhDtD66aUvv+L9yN8ldoPDrwW3rtVi3hVJB5GRHKhsmO9Ils+ggF/xB5yM4UqUDb/JkMpRU48iHvwP3APvBERL0aZHsIyQDhuHlBPOkgOxpzzoO/Fuhb5reu0WFmHk3Sv5/2btGJ3RlM47gJdgvXFc3qtk/M91O8CO6uqSmM4UL0uOOja37il2E8mrl5X4zr2AkAQkYEq665kCAEZRi7GS6cjdq4p3/HhHbi6n4Uc9GfyYgdXLug2LcQn95cYywZMfBI2LYanx4Ed1yJnnkwCJ/6Xogb9KbaOfGp0zJLkZ3TBf8mniNXPI3/4FBVogH3cRUS9jQ7ZEZCmKmmDOc0RxQzvI9PaDwU5qBYDiTc7nrgyiEovkfjP0/a7GD++4bcj30oitFW7DXabE6qk1x4KSpV6QEuUMJOc0keObi0VztHiIE16ay+3yw97voWv5iAym8Pwv+ro8JaPyg/e9RXM+4P2WHaZrJ0AFy/VEdtlD8BPq1Htx8HQPyM++ldyReJAfUT9TpiP9NFtLIINMftdRbz9OPLiPjLMfIx5lyI2Lyo/xhVEjX9Q3+cXzyb/7G3HVEmfjeNA9L8Cti/V916R2m2xB/+lLFXdSz5y8d9SP9wvX4Kuk7VHvJp0I7pOgbdvSL4veyvyAH0eLEvpll1Cpowy211OIyr9VRws0aiFfcw0jM+fKN+obN2TctJTOk3824V6YRaojzr+Wt0WbN7lyW+mae+y5ya2foTx9AkEz11ENkFCjkLMr15CLvuv9uybbnxdT8N9/J/ItUPaUSRNOOY0na6XjC6TURyZFk7RuCBKCMyS33416+JY3MaWzuqv7PCkE8bSpPmVEjCLcOZ8h1j6H0TBTlT9rnj7XEqRoy7hEiPAaVj4yUOsewO54wvs2u1RnSdSRJCwfXRqKHOiXjI7TsSo3xXxwR3aOPPWRvU4E9FlMnw1WxvLoA2+2efoHstnzdMp0oH6YMWxM1tRHKuJs07oNoYf3111V6wY8cpZWqSy4vy3c602HEvTwU2Xbgf5/Yrkl6gm26lsSKA+kazONVrHlK9TSiK1OkkuAcOQSCmwLLssq8npkLqNpJRQt1P54Pyd8GmlKH1ms/KU85ztsOoZCDTUImoLr9eBgFLcGdgTZ1Ioax2y8zYSF0SqWXclwysjGO9cn2gslyC/eBpH0z6YzcdX64CojMsuQG77RDsLmg+EeLEWPa0odFacjZx9Jp5z3yPibX9QWWM1JWoZ7Kc2zh5XYHaPYEsnkbg8YMQ9zcGRNpjTHBFMQ+DI2Yh4+cwEJUrVYhBi3P8osAx+rhqKsGVitBmPO7OZNsp2rAF3CLvHOdi9ZpBrB4/qvRiGxEMBUsUxiWmVzVK+X5EwUQpXACbOhEhuorFcijSgflc92b7/N52SndEUNeAqVLMBFCsPEeUiNORmZOEexKYKhm+jHqgT7kLMOU8bywB5PyEXXovjx8/JGHoLxoIrE41lgEienvjPmg/r51cxxFX3M4iaoQQDyGuE8ez6HPHxXTDkBn3Mhrd0W6NjToe6HSGcTcgFESOE0y5pt5QKK6qN5aX36/rnVy9ITNsGOPYcbTy6gtCgjq6XrhjFzGyBko4DTqhh4cNz3EWJol+lhJpgtxmddGGi1TwbIduNQVQUQ9n9Dbw0HTXyH/qfbWFLJ8rw4HjjAkSy6LLDC51O1p7pUvJ3Ije9Q6DNeMzFf0Oufq58XzyMWDUT8/tlBKfOJccOomxbe/53rNFtwSrSsAd0mfSL1QhbjgBGqHGi+mwF7GOmEZaBoyYQlCZNmkMjYBThXHoXskIqs9ixBmP18/hOfRK7wWAQgkD2auQLk8rSQiXAB3fgO+UJaDQ4QdfjSJId82NkHIv/lGcxVAxbCYTDhRHJRqx6JnGwFdPKykv/q+ubz1kIs8/BnvJyja7lNmLI5VXLnsoozoZInlbNrigCtvwhPY+9fil4a2ujMhX5O3Vf6L0bk++v2wFyf8BRO4gQnhq90x2mxGPnIoWNLUwQAmHFMKIxpFVM6IfliNwfUA2Owc5qQz4ZmHYYuXmxNnrzftIdR/ZtSn6BHmfB2zeW//fXc2HK8zojbuhfwF8fVbgX218fldWaAgLErJ8ngFKKSxUi1s9PuV8u+TfeZoPJS6FtkwxDAiNvh9XPwyf36Wc06Wkt1La8wnpCKeSi2/Cc9DiFHL2IbzQOUVwl82jaWD7SpA3mNEeEoMhGPDm6vKaxBLHlQ4yXpxKY9BJ51uG1tDkYCi034dr98E56GVPEUUpQLPwlUe6j9yIJmYUYP32KURIJVA26wSmPa3XJZJG/eBg8Ifjimar7AIb8BbYt1S/kUvasR8y9ELqehjH4NizLSbbIwDv2EVyqSE/a7iDCjiGfn6jrtyohvp6DMfAaxMYUtcrKhs+f0LXT867QBneoCRx3Aar1SMLCX5bobJoSz87PkC+drjfMmqY96C2OByERvjrw/ESM7K0Y/rqYp81CuIN64VC4J/XDNBywcw0IE3XxMlg5E/HDZyh/PUTP8yDUUKdCqXMgFtZ1ZHu/hfdvg0g+qt/lRIwAxKu3woosN2bfK3FkNEV+ck9ZWynVcQL2kJvJtUOk+s3kWT4yTrgXo/lAHf3N+0kb2f2vIt58CLmlKV4WCBsyTnoQY+G1iA3zy9OyM5vDmLvgg39WqUGSX8/F2XJoorFckT0bkD9+htloBGF8+L6ai+h9IfS9rERdVUHrEforXTmT6NB/VvssjhaFIgPzpAd0nVXlCEqwIarXDCKxn3cBlSZNmuoRQuAo/D7BWC5D2cjXLsR/6UrdJe7FKVVriZWNfPU8vJeuIkztquc4QliWItfyQKkxYkEt04lIohWh70tB0X6IFqA6nUrYzIQalIpJO4pIMp8mkPeTLimqaDCvnw+hRqhLVqDWvoIMVqNs/NnjMOgGmHNu8v3HX4NYdDuGEAQnvXjAzgoZjkKM795CLrtf31PtdtDnIvDVQYXzEK9djFGhXtoINiR01lsow4UafqvuofzT+3Dif2D22VXFvPpcoh0AFZ2h8YjO2srfgVr9Avbof1FU5ziiljzketrSQER5nbwfKRQeOw+BTVy6KLY9qSO4scLqo/f7N2GImt+b1wgjvnoZ3r+1fOOPK+HLl3Wtd4+zYNXTZbvE98txEIWjaDCnObqkDeY0h43DlIj186oYy2XsWINZtAPhbvuzRrgsyz4y9as1JGgU4Hj7mgQvpsjeAt+8BmPvhY7jdf1qRVoM1pNLsnprpx8a9Uh8IVdAfDkLR59LEc4WKKUotDzae+mqhcshCSy6OqmxDOjWX3s3JN9Xyo8rofOpurba6YeivbDqWeT6+bhPfo7SelOfykW+Uyktes/6cqXonWuh57nw7s0w+EYd0d77HXSbpr2yyWjUQ0eMpzyP+uBO3Yqp/YnQchACAcEGsG4efHBHYvpTyyEw5Tn4Zh6qYfca19Dlxby4Op6Br/1JCCuCMrRKedhyHPA3mxPz4ehwJt5245AobCRFIlSlpYRSkBP34x15L64RtyMKdiFMB2L/Jp09kCzibjqrj0YAxprncDQaSNhy4BnwR4yZo/VipWlfXbj17s0QL8Y+512K7JqpiB5p4nGbwqxj8F3wIWLRbYitH4HDi91tGuq4i8hVmRz1fiBp0qQ5KFyGlbqDAOi5a993WkE5hfo0ykasfQlnjz8c1ZrmysRw4arbQYs6JkNILRDadTLhSM3ePZZ0o+p1QfzweepBWS0TWyiWYNfuQJ7RANHtMvzkYATqJ/ZkLuXHlTpVfPyDsPjv5YZ3sJHO3vppVZlQmJn/PdLXMaWRGDQKMN+8SgtclbJjNcy9CI6/GmFbVb+3Hmdi/PS5jsTv/FLP/V0m6TKySU/rDKqfVoE7U7e62voxvHtTlWegarXGvvxLosJNkfJhx6qKktWUoDOCY983OmMwewvU74J79L9g0/uITx+F4v04GvXCNegGir1Nk9cKO7x6Pkw1n4ea1kTWpgx3fD8yxdqMd26Cs+fD6ufKa+VdQRR6vey2tRBrTHpL1hg1v26aX460wZzmsHEQRn73XrVjxPZlGB3aEz9AtO+XRgidduW0i1AIwjJItPoyWKCkTcG+b5Kn/Cil62ynvpxoMEsT+l0OrhC0GFgSEaxAs36wsVL7hMrXXf0cjv63Eq10kwKFSKYcWkq0pB1GdXiytNH67s2J2+u0Q6jy79GIF0L21tTn2bZUp3V5a+txH/1Lp5qf8Zruk7mjUk2RJxN1wl26XcX8KxE/rtTbvypRpK7bAWq1hkW3Vb3W5sUQqIcaeB0IiceIUXyACUkIvbAw9qzH+PwxiBVjtx2Dp+0JxGQG8Rp4xGMxm9wECZXkM69SOvuhEDfCV4tMsQ/j1aEpJ3H72POq778NekFacu5cahM8513k13OQa18CZWN3Pwt1zGnkqgOriB5NwpaDqKslnjEP4SACCIpFqWBL2lhOk+bXhlQxRHVZQICIF8Pe6tvoyb3rkT9zvUWh8uMcfCPi+YlJ96sO48EdIoIbn1FERPiT1q9KKfCIYqSKYuHC7nMZxqqZyd/Zmc1RhgtRWgJVeq3Ok4i3GVPmRM0zMghNeg757ElVneXtx0LeDzpSOf5/5erTxTla4XvrkrKh4tu3MHt1TuqIkFJg5m5ONJYrsuQeXXa1/MHycqfOp4LDB3POKx8XLYCVT8HmD2Dcf7Wo18BrdTbBi6dV7YoBMPAaxHfvI1sPw8KFU9pEkQddv+s3inHZeYhNyxAoGHYTrJkFHU5CzL0gwRkiNr6N8d07eE95EqvRUKJWompGRPjwtBqGSLFWtfv+gSKZUSMxWKfTRCxPru8C6Ej21iVas2bbUn3+3hdjGAbBb1/WwqjhXJxN++E5/mqKHPUOq2TBZSo8Kg+hLGxhUiQyDlqnxzRL69jVURXm/S2TNpjTHDZKmChXoPpGTe7Uaa2/FpyGhT++G/nRv3UErE4HHO1Pwm49skxYKRVuGcFY8WDqk8eKdfuJzBbaQ5rVEobfqlN2rJhWwF72QKLH2XSlVPouI5KX9LnHLIHdeRKy1MisTLQAAo3AXy+5mjNoAak1s/T/lwZIB8TD2M0GEJPeMj1jIQ+gdCmEFu2q0w7e0ori2JYWYBn/IEQKtJd6/2ZUiyHYXSZRbNbCm/8dstRYrkiPM3VNWCrWzkZ0n454ZgLeDuNxD72ZXFkH21a4jSimHcYWDsJ4sCxFyCzEnHdJQv233LQIPrqT4FlvkWM0PCpCHUpBWPrw9L8KueSeqvsb9SRerxtGLIXqdQlW12m6bgm7pB1aCGen83B2mIQAIjJQ4vT55f/+bFtRiBvKlOfTpEnzayUu3dhN+iI3f5B8gNOPymyFiOQn31+CXa8rNgY/p0iBZdmEax+De+jNiMW3J6Tjqmb9YdTtqC+ex/3N6+AK4Op1IarZ8RCPIGKFYDhRpguR9wPywzsROdtQtVqjBvwRdeEn2hD1ZOosrjUvgjCwps7GcoYwzn5LZ92ZHlSnU4m5apNfQYE5bkF+oC3Biz5BfPZ4ScQ2QwtdxorhjT/oyG+rIdByqFbN/vzJqs5ThyelM9hp2MiVTyTfCXoC2r4MGnaH7z/V23qcBbNOTz4+e4s2/ry19LOUBhxzOqyaWR5FNZw6CIAA0wE52/Dv34zaugT72POJh5qTF69Z1l+GoxDznesR6+aWbzScOuMtf1fyzAGlkPP/gO/C5VqUsgJFtgfXmHsxnhtfpT2najcWq92JVbLCUiGxkfk/VT+oYHd5UCKrJeKYKYiXpupWmCWIr17BWPcqvtNfxqrVm4NtCS2EIMPMQ654ELlypl7XBRthHn8NsdZjyYsfWPXbKeP4RT7iu/dh/yZUg+6oJr0pUKGDvp/fO2mDOc1hE7EMPL1mYKx7LfkAaaCaH39Q6oM/N6YpCeR/g3xmHPS9BE59HHasQcaLkPnfkxlU7LNTR2SFHU+dkl6CAuxpc8C2EA438q1rtYoy6LTi6a9qheXty/W2XV/D8Em6ljjVOduPI57EG2hZNla9Y5ApxENUk77EzADmqU8hn5tQpfZMNR+ICDYEh1unODu8+h4zmyFMN96CTUhVS2/L2aajvru/SX6TrYbBlo+hSa/ElkdtR2vvee6PULstHHM6KtiE7HgIA6VT05KR2aKqCndF7DjEo7qtw9dzMLYtIeO891HRHOQn9yJ2fQn+erj6XonVoAfG+vmJYmmlFO7FeG0Gvomzjlpqf5Hlxjj2Ypz1uiA//IeuwfbWwj7uYuxu08mL+/GZBu4ukxFrkwjT1GqFatKnyt9WNK6IloqX/Hr/7NKkSfMrJhpTqK6nwyf3JqbuBhvCkBsh1Bi5+yto1FO3AEzWOk6aqE6n/Kzp2KUUxD1Ync/G03kiYvtS7Zxt2hdhuhCPDUWUOoulgXHcDNRnDyM+e6ysK4NqPgAx+Hoo3q9Tz7O3ItqPRbkzYNMiyPsJVacdTJqJHWxKrp2BFbWRga6YfbsDiljMQiX56NG4JGr4cDo8iBaD9Nz43q16PgVtbDXpDY8P0aVbE5/SbZ0qzn3tTySWwqoRykY07QvdppbUE+/UkeJS4xh0pplR4vr2Zumyq2ra/7Hudehxhv6uX5hUrji+b5M2oDOawdrZ8PHFMP1VxNpXoPNkxLwrMNa+gmx/IqHR/6bADuASYYSyiUpvFUPVY8Ywl/wr0VjOaAath+ke1t/MS32PkXxEzhZEsHtCOZVSihyVRfCMBRg7VyPXzUE5vNjdzyLub0xerGZzvM8I44rlohp2R6QKSAA06AbZW7GH34rddSry2zeRPyUx8m0L+dqF+M77kBxSrzGTETLyMV6cjNhVoXVX3o/IBVfh6LUOX9/rKLRSO6fdRhzf7hXIV6Yniqq6ggTPeIM8b+u00VyBtMGc5rCxbUU8oxWyw3jEN69X3T/idor5+QS/DgWfykW+fjGM+4/2os4cm5ByJbpPI3PwzWRHk79U44YHu/lAZDW1TXaDbmRTFyXAUJLQiL9j7NmgPbcb3tSpyf2vRI17AIr2aSPcdKdWzMxohlW/G1YKR0SeHSRj2mvId27UIlO2pb3mXadgDfozeXEPjlAn/BctR3z6MHLbEnCHsHpfgmzUA7V+PqLX+fDmNeWRb8OB6DYdo9VQmDka2oyE4/8IQ/4ML59ZVVTDdEP/K7TKddM+5dsHXqtro54Zn/CiFo2PI2PiTPJVhvbeJyOcC/66KRWX9XUr1DAV7EKseR65c60WXwHYuxFj6xLktDmI5dVkBvz0BQ6rAKoxmKUUuGQMqWLEpfuge0vmxz2YjUfhndoHAxuFoEgEiZY8lgLLgznsbxi12mgl7+JsLUrWeSL24L9UK0qWJk2aNIdDgcwgcMbryJemlog/NoZTHtPG284vdYZTy8Fw6pNaqKqiwWU4sac8T6HI+GVuHii2nBSThdF0HEKAj1ycM0cmZlb1uRS2fIRYOTPhWLF1Cbx0Bpz+Isw8USsib12C+PKl8jHZW+DbhYgT/o2j9clYOLFtlVAmJYQWrVJK6VaGJeTbfjJ6nIfx5lWI794pX3PUbquFIN/7q563N72vBTAnP1uyNrHhmNNQzgAkKRkzDIGHfNSPqxBv36gd4rXbajHIjuPh7T/rgU16lQtTSbOqaFtlrIiuXTac+r6W3q/bJwYb6nsqrbeWWolb/xbK1wRi2yc4wvvIyF6po9+xMO72J6Han0Suyih7Nm5VgChtaen0w4n36HOue0NH2lsOgTPfgDevTr42iuQnLVe2bUWOHcCoNwiz4SBAEI3ZqHjN5k+vEcG9/mXkOzfC2Qu0wz9ZdoWvDnaLgcSaDSUsQ7hi+biTCeeVUrgXWbgL4QnVuJ7ZMCTGT58nGssVkJ89hqv3JSUZXSk+j8pBvjy1PEOglEge8rkJ+C/8hOyDNOJ/z6QN5jRHhLy4j1pj/g2dJiA+uU+rI9bpgBp0PeFgm6PSsP1IYsTztVpx7g9QadIEEF88j5HVGmfnC5LWNEdiAl/3s2DFQ0nTqFWjnsRdtcs8zZZlk2vUx3/GAoyCHxF7NqBCjVG12gI25rMT9HmCjXS0+8N/6hqiUpr1wxr3EHnVtMiybUW2CuEZeQ+u4X9DxMMo00NY+imO6XoZ3b+vLq5+f8HRpwglDML4UJYis/kAxKMDE1+mVkx7qYWEY8+GT3UtDv3+AKfP0nVR25frybLVUOh/JSy5TxvcsUKdAm66tKL1rGlVn/MPn2LMvwL/2PsR9TroibnyJP7VbC0Y9mEKxeeGPWDXusTzfjUHep1fbjCXbo8XJxdeqUisCBzltWymCqMwKJYh3KoAR/5W5PIHEYW7sBsfh6/H2RTKWkQq1VBVRzxuV9vOIifmw9XtIjxdT0dYETCchEWAsGX+Yq2i0qRJ8/snGpfkBTrhO/8jZM5WhCeEnHtBYkbR5g8AAVNfRmVvhR1rUbXbolqPoEAFqtSTHgxSCpyGhVA2MVyHrINSWpdpxPcnimEKCe1Gw9MnJT+wOBvWL4Cup+k1wsLrk9/n23/C22YEYbIS7j0g8jGi2Ygf14LDh13/GArRz0QpRY4VxHvCg7hUAbJwt36/536vy5f2VBDmLNwL370H3c+EOm1RDY6hKEUgIihytfhj7g/QZgT0ukB/TiuqBTXH3Q+fz9Rp4KX11oV7IKOpjhRXNqBKaT0CslqBvw40H6DrdJVd1XndbgxsWgyth0NpDbWQMPEpxLzLy3VJQPcxXnI3obMXkiMbYNsKES3Q91r/GBh7Nyy6HbZ8WH7+bxdqI/3Ux2H2eVVF1uq0q7aMyrJsrEP4GbmtXG0sgxZkm/Q0vHZRYqp8qAnW1NnkqlpYtgJb4ZaWbjdWHZF88Ahq6vx2ighy9dPVjhFbP8JsNSlpdqfTIRGrXkz9XYdzED+twmgwLF3TXELaYE5zxIi7MhHtxmE17ItUFnHhpFh5D7mNwM+KFYfuZ8DC61IOEcvux9tpcpXamFIKRCaBM+YhXzkj4QWumg3AmvAo+VaAii9DpaDIyEQFMlH+TiilsOOKTLGv3OjO+xFePkOnPg28Vm93erEDjchRtaudFExD4iMHI5oPdgzlyqBYBAjHqy5eInFJpGzytfGaEcQH/0j9Mv3iWTjjVW0wb/0Yjr8a3vmzrmka9Q+wYzpl7dUZ5c9ixaMw/K+Q8z18mtrbKr57FzOWi1hyD4y4FRZWUuD+7n3UoOsQmz9I6GkN6LSyEbfCG5cnble2NuIrk7MN6ravXknVFcIjIngKtyE/vENP9t5aOMc/BF/OQlRImZfbl8OKh/Cf/gp2Vo8j2msyEhNEyND/kU6TSpMmzc9EzIIcQshQNzKLNyQvv9m8GDYvRo25h+KBtxCNqcMS+SwTY9y3AbnySUS8CLv9eOyWQ8hTmYe0iBeCqhHBQANd05pqrgNtqA69SfcXToVtITZ/gNlqIvG4jWEIMsR+ZM5W3SnCkwluP/K9vxDodDKFDY4nbDnLhCCLpYeMoo0YL01J3f5o4ztw8qMopx8lDNxWHg7DSSHBsufhNEF+PVsbsX0u0dohr12k22iBzvrqdzlMehJ++Ax1wQeIzx7VdcGFe6HneXpeB13+1G60Pmbvd9DpZHjmRF1mNfpOeGpMVUPQW0u3rVpwjXaqv36p3t52lDawk5VaFe7FeOMSfCc/Rz5eHVU+8w1dBrB1SaKxXEreT7D4Duh9kY7El6DajyNqBPARQdgxLOkucSyn/upqgtNpIFbOKt+wbSnEb9f9tWNhyP0BVb8LVlY78lQo4fcZk16czfojUnW8EEILxh2EVopAHVigrGKadSUM4sgU0emya+z+Gtlo+CE5F36PpA3mNEcUpSA/od/yb8BYBpQrCO5g9dHGov1IK5Jyd9SS5Po74D/nfWTRLu25zWhGzAxSYPnLIoFSCgIyDyN3O+L7FeCvi2o5BGXFUIZACAMa94TS9O7Cvbq3MJQYcEGsGZ9Uayy7jDj+3K+Rr19SXhPl8OLrfQmuY2eQewAxCIcd1uloqbCiuh7McOiX8s61gIB3/gIth6BaDER8cGfiMVs+1Onlx56TvCd1BcT+Tdqr76+r1cU/f0LXdPvq6hqqQAM96YfP0IuYWDE0Px5aDtLpZpVVu9uOKlOrLMMd0p9hzN3aY/3VHF2LVQHV/iRihgfvtkU6qlL2gDy6x2ey+nIrhnzlTPwXLUunM6VJk+Z3g5QCflpd/Ziv5yBajyNeTe1kTQiZhZivX4ioYCzJje8iA/UJnfUWObLuQYsxKoWeOyrm6ypLp/tWh3ToMQfQKaFwD0IILcYks5FzzkusGXb6YPQ/kZsW4a3VlojZJNGQE6r6XsFCwsZ3EKufQ4y9F/nseMy6nXAMv43irM4U2x58Kgf55Yu6k0SzfvDS9MRzxMPw0V26trz7mShhIDJbaoN+7SvQeSK4glqXRNnw9at6nmw9TD+H+l1gw5uo9mNRF36MWP4A4pt5+t7aj9XHr5wJk5+G+VeVf57OE7VTPRXff4rDLsQ0fMhwti7xGvOv6tcKW5fA4BvKno3qPBGG34IrvA+xYw1i3WsoVwBPvysodjU4rExHIUTVHtw/roIXT9eZc77aULCHwj59sCqlIYYtB57+V2GsfSWxDWYJqsPJRMTB6aREcePpPAm56f2UY1SLgSm1gyxM7Fqtqc6lr7JaHxXB098qaYM5TRqgWATwe7IQpkv3lkyGNFGGo9roXtxS5BBEuIMIT1v9srGg1HEgpSCDfRjPnaJbNgUbwimPwooHdBuJcC6q8XGoYX9FbHgLlv8v8QLKxu5zCcUymPI+hBD4ozuQz45PfDnHipBL7sZE4Tn2DxRXijQ7TIlTFaGQgNB9F6tbIDg85ed3+spFYbZ8ACf8U6dnV/bmf/Y4NOuvDeHq2pU4/RAv1jVSX76sU7Dbn6jTv1fOhOYDdfQ6o6muo254LESyq9SeAzrq3OEkXYNWyrFna2/5F89qg9tfF46/BlAw70qwoqimfbFG3YmpYsgFVyaes9s0qFDHVoVIHmLvemRWn/SEkyZNmt8FSimUr271Y3y1scXhLS2dDomxbk6CsVxG/k7kvMvwjn+KAg6sAlyZiPDhaT+uXG8lf6cufapu7u9wEmxZosXNvn075blV035Ylo1fFiLmXpRoLIOu6Z33BzhjLnLDm4S6TtXtH4UgJjxQr3O5EzoZ7cfq9Pe9G3VEv81I2PAW8rkJeM5+C487pJ3NtgU9z9G9lFOx/CE45nTivroYTXpjPFOSkr7hTTj7TW1UV2zBtPVjncI9+Rl482rE+7cRO/cDov1uwtPnD7ptmB0HBPQ4A/HCZNi/pfx4d+jALRLjYfzOHMRzJ+u1hycLDqBGrVxB7HPfQ/jrQKwQMf8K5K51em1w7FmIWBjjsUF4xz2IajrykNs3WZatxVDXvFh1Z8EuKNiF3f/qpJkPSkGhWRf/tLnIueeX188Liep0KvHhf6MwdnAOpnjcxm4+CJnRrDwoUvGaHcYRNTNSrhOjMRvV7UxYdn/yFmkOL6ppn5QaOf8fOXL5gmnS/IYQAhwOA4dDG43huIHla6g9lClQ7ccRETUTL1OKpIaSX+RjvDJdG8tCwISHYf4ftWFYsAviYcTWjxBPn4Sq1xnanZB43mOmEe92VrXCUn6zGPHBHUk9mQByxf9wq3JD1jAkmWYewY2z8L5xDr4F52Pkb0d1PzP1Bww20n0hldJ1xnXa6c8E4MnEcgaxz5yvvfkVqdsBq0kf7D6XVzllGbVa61T00hS5gl3a+H7jch3B3rEGWzqwu02HPeth6X9hztkgDBj2V+3tBRAC1WYU6tx3YNnD5c+jw0nQ6Fh4doJW9NyzHrZ8BK9djPrufdTZb2LN+JjohJnk2UHEvm8ThWx8taHTKanbcZUg8ncikqWBp0mTJs1vEMtSqIbddIpuCuzjLiZia6NECPCaUbKMbLLi28kSe/AbRTpSXQ0eOwdZjRij2PYJTjtJ/98aUGS7sUb9E9V2VPnGL1+CAX9MfkBmcy1YufwBaN6/vFVQZWq1xgo1x7YVjnguYluKDC1lw6pnEa2G4HhpMuYDx2De3xX36+cgivdjj0vxuUudw21HafGx7G3aiQzQaigy7wfkIwO0XkebEVCnPfzwWeoHEc4p66EcyeiAfcK/9VzeuJc+Llm/4nCOLlvrdwUU7kYKRXFMst/KZK9Vm72qPvuohxVshnJVek7ZW6Bep9T3YzjA6UfuW19eV537A9Rul/oYaWC7QoT9zeHLWciH+iE2vqvXD9uXwdyLdMuuoTdpJwvVKIAfAG2gDtROg2R4s1BNeqcsFYhYJnmZ3Ymduxjrgg+xzpyPddkXFA+9k5zYoYniFhmZqDPfQHUYp2vPAZx+7P5XEh91FwVW9Q6lYjML+6QHq5armS7s01+iUAUP6b5+r6QjzGl+1zhMiUkEhCRSIpAUkAWYxbsQX72j1YbbjiHqyCAn5iVr0A2I7cuq9Okjoyn28FspPozm8gBmNBt2fqn/o8UgXYO799ukY8XbN6Au/Bi7wwSEbaGa9iEiAxTGPCnPL4TAZeXrPtKpiBUjiveDMwMhBCG1G2PmmHKFS8DY8iHqnIWw9qUqacpIE0bdAaULmiE3wuoX9P8PNcGa+oqu1/YEdHp6wU+6jjmzBXF3bQriAQIthuBoMxqxcWHiud0h7IkzEZ8+krKvt2oxiAgenP2uRG5ZrL3tSmmDus1IOOk/qKyW2NJNRHgJ4yU04m8Yedt1CtVxM+CFyUm9quKrOdjHnkuurwOWpZCSqlHy/lfqdPF6natdkKi6HbEPVGOUJk2aNL8hClWAwMmPIWefVSV92O42nViwBbalEAIyzAKM929GfP1qmcPS07QvznEPkmvUT2lcSEFVIafKxIoOaQWrFOTE/fhGP4BzRB7sXgeuIKJ2a6jTEbn4b3pOdnigyyRd+pO/S9eqClO3f5x9bmJUr2F3rIlPk6+Ces7YuyXl9QHY8QX8tLKklEkjti1BPDEMdcFi1CmPIRbfoY1M06UdtAOv1SnTX83R2zpOgCbHadXy3hfB3Av197F+Ppw9X6dRO7xlRnFSSlpKFVpurDan4G0zChnORlQsP6rM7m8gsxnU7YSlqsbclIIcK4Pg5Fla0HTzB+AKotqMQQQbI1P0eVZdTyNqBHHtXl++cdUzer5ekNyZoTqejCXduK0C5Af/SH6/q57R35nDi9i2BKPZuEMWscpXIYJnzcd4YWJi+V6wIdbUObq7RzVliFoLIAjOIMJVffb9gQg5CjG/ew+x8kmtUt9nPsrpQ7kyKBCZNerWUWw5ofloPJeuRKx5Ebn/O+yGPVAdJlBAkOgR1GD5PZA2mNP8LjEMSVBkI797B7lhPsrhw3PseYjarRHzrkRserd88Pu34DpmGsaQv5JtZRI6Yz5yywfIL1/QKdBdpmC3GkGuHTosRWIpBaLiRNp2FKx6NvUB4VzsvJ3kNTsJpUpUPg8gvuA3i2HPZj3Zl/SSTIqha3m8shi54OoEYxnQAiazz0GdPgv17TvIVU9DtADV/HjEcTNgzYsowwVnv4ny1kYF1kCPs7H9jchXobL2EDkEEd4gwtdBp/OVpKfn2j6CJ9yH2XsDxqcPQSQfu/UIVKeJFIhM/H0uw/h6bmLfZgCnD3v0vyhWXooVhKa9gdyyGLn6WbDj2C2HYtftSp7KqDAp2uTILPwTX8QZy0Xs/jqpknkpYvmDOEf/j2JMnSVQt2OFnRIadofnJ8K02TqlO1kkv047LG99lKV/iz7yMWx9zbj0UEQgrTyZJk2a3xxRy6C48UA8l3+B+GklYusnqOxt2H0vJ16rA/kl+hgBoxBj7vlVI63bl2E8PYbguYvIJnkEy1ISs0675OJioJ22rsAhix8qpdv1gQdZvz4AdkxhNhyGf1pP7VAv2K0do48M0hE4d4ZWzG7UA/useaiiHJ1inNGEuCODAuXXCs8CnUpcHd7aEE6imhyP6F7MA6+FqS/pCKs0tZDWzLGJToSda2HNC1opujhb/wM9H711PUz4nzb4S9tGVaZ+F2xneWQzbDkIk0GGW+A4QPYUkTzswX+mSASp2DaqFKUUuXE/wtMe85iOKKWIx20C9XriHHIT8sM7EkTWVJuRxAf9maK4iatW6/IT/bQKjj1Ld7ioXMvc5DjEgCtxLLwaBl6js8aSCYqB/h5bDdVRcSlSilg5HBKXVYACotJPrFI6ctyCPFdz/OcuQuZuR+zfjMpqhR1sQj6hhJZhB+JwRMgCZhGOd2/QjijQn/vjfyMAdey5OPpfT6SG5Qq67VpdnD2vRmJhKZmyt/f/d9IGc5rfHVIKQtYO3VahpE5WAMY3b6BaDEL0vRQqGsyAXPM8ZqMeGG1OIzsexGwxAVfzkQBEhbfkxXl4tahKKVRpujBo7241hhsAsWKdBlfDt6vLLtQ9IjudUrX+uZRgQ2ynroF2qULE5kXJx+X+gHh6HNbFy4l1Og2BwjK8SDuKOP56DKcHyxkiLy+MbNIY21YoS1H5OSlF0vvPs/zIzJ64TngYqeLEhIdoXB+fbzYkMONj5Md3Ib55Q5+nw0nYx19LvqxTpryebQdKvqsRoBRRw08sZlN5EtcLGRvx4Z26pVU1iOL9SBWj9PUYNYK4241FbFigxVAKduvvbeVMmPCQFjapaNjXbos6bRb5KojbiODL24Bc+KeyaILZsAeO0f+i0N+aiHV0X8EOU+pei1YYpElUeClWnnRddZo0aQ6aUuVq86dVyM+fgHgxdrsx0P8q8skqMzCEALN4d+q05PydyO1L8DcbgWEVYSMJy1DZ8UUiiGPQDchXkpcFqY6nED5IkaRUVHwXxuM2OQTI8tgYs6bp1N5SooUgBHbvS8kji5gzC1m7VRWdEqXA9jfA8NdNXbPbbWq5EnUlxHfvoE74J6x4WOuC1O0Ia2Ylj7jv2wRfvQodxyVu37EaZk2H056H796t6hA33dgn3o/lqmrYx3DiqNsRtn2S/N6FQGU0J+auRzxWvdNXKZVgfOXHPQS6nYuzyyT44VOIFqOa9CbmyCA/5gUUdt3OSHdGuX7K/Kt0uvzZC7RwpzCgQRcINYUXpyCyt+r66qmz4MN/6TI2p0+35Fr9vBZNDeeAw4NqfFxSR3VZgOWbN5BfzwEhcR8zvSRQEkz8jZREiYW/CzLYNeW652ghhMBR+FO5sVwJufJJnMddBPLg6vvL+4anjeVUpA3mNL87fKIA4/ULk4pKiS0fQouBOh26kqCIXHIP3tYnkEuQeNwmXtbwXb9gTdNACD2pHkqkWSmwfQ0wgg31BLZjte5lmJ0ifUsakNWy5GWsFyFOEwwVwxJOIrHEe3CZCgr26Nqj057TqVmV2xhIA3XS/RSKEKC0R7u6z1K8H+IR8uzMCo9Cp6WHnJ6Sz6UOyrNaEdtWFNsm+lVUfo6YLcgWdXAP/juuQVpZMyJ8uj1Epfe5/q48pSdMeS0jXqA91r3Oq/6emvbXAiwlFFgeHCf8G8Ph00IxnpJnsfYVHcU/7XndN7Ngj67lFgYRw49UAl90lzZWR9ym23qsehq2fIQxcxS+c94l7mtXVuecSs3yUPEZxbh/WIJcdKtWDRcCo+UQXKPuJM9sQNxK11enSZOm5oTMAsw5Z+nuDiXIbUthyb0Ezl5IjtEQ21YYhoHY+nHqE3WfjsxogvvtKxHfLwd3CGevGVjtTiQ3HiAet4k27Iuz/x+RS+9NmKNU035Yw2+lOH7oiscHIldlEDrnbcTy/yFXP6ezq5r1xx52C8W+FsRKbItkjkcpBXHpxjzjdcRXs3W5UsU2k+3GIlwB3fUhBQqJsuLI1sO1Xshbf0p9s2tm6bTlisrfANmb4ZUz4dQnUN8u1LXN8QiqzUjs/n8k36iTNAZZrLx4Bl2HeKaSEe7J1G0jWw5GCInOPa85XiOMO74fsexpZO427FYjdZ9u25vQp7uAEMGps5HPjtPp5MqGj+/WWiXjH9SOi6JsWP9meTcMIXTWXOvh8NkTOtreuCec8rhW+a7XCbZ+jBVsVqXNqS5L24Px1KiENGv5/afIrJZknDGP/XbVuvXDWfccDk6HRC57ptoxYt1cHN3/kI4UH2HSBnOa3x0Ou7C8JVMyvnhOp/BUVuDM+1ErPZYghMBjhHGrIoSKw85vYPd6VMvBxP0NybcC1RrOQgikFNi2XTaPFcoQwSkvIp8eqwWnps+Br2YnjTSrbmcQFnpK8xph3LG9yBWPI/Zvwa7XGV/3MykysspUHx12ka4Xaj8GXrsUTn4Yvpmna56ihVqduu+lWFltiZUY28rhrb7OKasldslrQkqBR4SR0gYzdR31kUIpKI47KK5Bayan0wAE8biVOnoq0BNuPKxbY1SoHyvDdKO6n0mlrhBkx/z4hv0D19C/IOwoslZrLXK28R39L7OFFoPJ3Y415h4iwk+GvRvx0V2wfp5WPc1oCn0uho7jYeH1GHu+JsMdgE0fAArVYjBRR8YBhTpqgtNUuDctQM6/snyjUohNizCeGE5wxkfsp/ZhXydNmjT/P3CaAuOrlxOM5TKK9mG8fiG+U18kHx+g9LySjFZDdQvAmWMRpUWcBbuQb12DWPM8ockvkBMLkB/34D32EtzHnovM/xGceq6yTQ95dvCwyqOqwzAEUkpy7SzMPtfj6X0ZoIjjpEh5qxhcFfEbxbhyNyI+uQeRsw2V1RomPKSjoN+8gd3nEqjTAfH8qSnPoVoOIYwXo/+fcGxbjKzsIa5MJA8Quqa5cp/ovRvhuVNRl35KrMeFgCIqkzueE+7Bk4UY8mf48J86xbvLROhxljZG510BLj/OnueT2X48OfHq10Gg1y+eDXOQb19Xtk1+Mx9MF4Gps8kLdSVma6M5ZkGevx2Biz9FfPc28vtlqMwW0OlkRDhXO/k/fQQ2vFV+gZMfgTevTUzJXr9Aj5nwkK63bj2afBUEFE5T4VN5iEgOQoCI5EH9rlXbiu7fjFxyN+4BtxCu1FXkF0MAsQOIl0Xz04KjRwGhjtZb53eCbSv27Ss48MA0hELaiMrNPUCa8VEmK74N45H+qQeYLpg0U/fPq4g3i9j5S8ixgriNGN7IT8gP79RpZa6gnjRaDoa5F6ICDbAmPUtOPFglQGsaAj+5yLztOvKY1RI70Bih4oi93yKsKKJOG1i/ABHOQbUcjFhwdbn4l+nCPvY8rL5XkBPz6clm42vIt65JvJCQ2BOfpqDBACKWA58RwbvwMhhwJcyaqifSDuOg3Rj9mXesQTXtR17t3kRLUqncpoVvxb9SKpLa01/FqtUew47q/tBYiL0bUHs3ahXO2m3Jo1ZJKvXPj88oxhXLRnw9GxHOxW4zGrt2e/IqpVEJAbXYiXhsiE7XmviU7gn546oKJ6uDmvwMeYFO1YpdGIYkFN2G8fSY8rqxElSnk4kNvxOJhfnUiMSUvlL6X6XTxj57VDtNKh7f8WTiI+8kJ3Z46YaZRi7mo/1S1rGrnucRGXgTBVFHjReev5a/7zQ/D+nv+/8XB/q+Q0YezpnDq6b3VsC6bBX7lW47lSX3YjzQvWoG07RXtEBV0f6k57BPvJ+81hOJxSycMk4gvBX59g1a9RigaV/sUXeS725G1D5yMR/TEARELnLXl7BzrTbSmvalQPkTIqCp8BnFuFc9hFxyT5V9avitxDqdRoHy64jmro+Rs6ZUPYnhwDr/A3KcWm3bNA1C7EE+1DexU0NFGnTTAQCHR0ezv55briYVbIh98mPkhzon/QypvvMstRNjxYPQdZIWPHN4dD/nynod9ToTP/0VsmOBlM9FCMiM/4DxcJ/kA5w+4hd/Sna8qmPc4TCQUv+E/MXbMJ4/uWpqeuNeukXk2zcmP78nE3vGR2TbWdi20k6NTfOR798KddpC4+P0+qhuRy0A9/G/K92Eh9jFn5NjHdhx/3NgGJKMXR8gX5qacox15gJyQt2qBA/S7/TqqVXLX62CfzrCnOb3hyugxZlSSRDW6aBbMlTC7nWRrp0ywLfvC+SLk8qFKYqz9Yv0mzfg5EcQz4zHePsGfKPuRdpRTKsIUNiGB8MqQj5zYrm3sv2JGMecBq9fWm7ACAndpmEPvJ6wIxNz2hsYsQKwIihXiLDwUxzTf57ueE5VYxlA2cg55+C77AsiZBLGg/vYc5Bv/UmnCX/2BKx7XUeYm/WD/ldi125XZiwLoe9D9b0cFWqEWPQ3HekWEpr0QZ1wJ+LHL3DM+wOEmuhJ+dUZULSvXMHaW4vg9DnkedsQjSU3vBymwKtykdgoJFFnJrYVx8YkGj30lKGgWYRj2b+Rnz5Sts349BGMWq3ImPYa2SKrzBj0GFF47w6teB3Jh1fOhsHXw9CbdVpXoB6qTgfyRJ0DGv+WZZPnbEpwxseI9QuQm95BuTOwe84gHmxOGD+Br59MbiyDrjvbvqyKsQw6lcqo3RZX98uIxA/dQyzC2dWKvol1r+HqMA6H00/U17REACdNmjRpkiMEB+6jGwuXrSrDwo9nwNXIj+8u3+8KghVNaSwDyM8fw91iBLYRwF+0BfnkiERDbfsy5BPD8J/7LrnetoecFiuEwCuLtY5HrAghXYg1L2ntj9LOCA4PgSkvkJ/Vo1qjWQhwxfYnNZYBxHt/xWg/Dkvp6HtR3Z54p72KfOcGXWsL0Lgn9ui7KXA1Lotix+MWhWYGvuMuTHlu+l0Oi/+u57Hht2jBsMI9+lmjUL76RKP63h2mxG3ruTgmtegZgN8owkEMhS59iqkgct8mxMyxMG0OvHZxcnHLXV9hrH8DV4czULaFV+Uho3name8IUChCSKGQKx6vemwp0ULEjysxGg6vUl9cMaVYuQJVRUBBt4lc+0rq8xdno3J/RPkzcZgC1/YPkMsfgMlPw66v4LtFuqVVVkvofKrOTqyYfRgr1hmGvxIsy8au3x2Z2bw8Jb0idTtgZbbE/oWCGL9n0gZzmt8dEeHD02E8Yt3c5AP6XAyf/Cdhk2rWH6v7mURjkGHkIV+/OEHFsYy9G3XP3tbDEevn4R52E+LlM7VnEjBqtYJBN+j0qBUP6xdx30vgmQl6oVB2QRu+eBa57RPM6QvItQIg/PovssJlnU4DsaIaJW07jti8CLPVJF3LW7crDl9dxPOT4Zgp2nAWBuz6CltBga0jlz4jjCu8A7nkEZ06Vr8LasaHqGgxwuHWPYZXv4BY8bC+zoSH/o+9846Posz/+Pt5ZrZn0wMhPfTeexERUWyIioKI2LD3dnrnqad36p2e7ewoNlRQLKCooIAiSO8dQgm9pPdsmZnfH5NsssluQNHf6bnv1/ny3DI7WzLP822fD0y/rKb9qx6VBYh3RuG+YTEFNBYQibFUou74Avnjs6bipysJte91iJanoud8i9HlEqqUOKo0W/j3GAJFkVgOrwgKlgMU7EL5/CZco6YE2pttRlVAPAww39/sO83MuasZeEoxrv4G7wkKd/g1g0JisbS/HLX9JRhCxatJdM0gSpYhN34Y/sndLjFfOwxyxas4uk/EcwKt6CeDqMxDmXo+tv43I/reTtkv0AoeIUKEppFSIAT/lfnHk0EzFCzNO5vaG6GQKoYtKrB+VWp2lJ7XY03uhvzhn6bidXw2BiKsZSAAnlIEOk7KUebcGzpQ0/0oc/6E88L3alrAfxpSCmJFAfLLO03RS8MwNUPanwfjPoCPJppJcl8VctolRN20ikISwh7PYlERq99r8jXF1llYulyPz6dRpdnwJfbHeeksVL0KA1HjnhDV6HdR7ZfYel+PWlWMXPN2XSHA4jSTvgU55mfb73pzLfv4KnOt9XsgtSfyzMdxx7RB9VcgvIP1LAABAABJREFUt89GrnodqkuwpPeHU/4EQmKdfbtpcalYUbtcjH7K/eijX0V+Nslsm29CNVusegN3q2FQWYiYfmmg60qJTiH67GfxJvc0W9Kb+myKdiPTwqtXA0hFNZMB3z4UfIfFUbcvqZ1l9nuCH+MpQ7hrEvfLXoRRL8Kn15qfUy075kBqTxj9KrwysO53F5uBLk7OTvSXpkSPJnbC58gvbqmzEBUCo/UI9LOfoUw3kyURflkiAXOE/zkqNRvWMx5HKT9ieirXIiT6KX/CyByCsLqRGz/EkBaMnldAXDa6YWCxSGRlYZMLBJs+gUG3Q843iJL9gWAZMKuHn06CC183bQ6iU81ZmvrBcn0Kd6OU7kNEdQ7ZGisNDVmc2/QbLtoTaCMp8UcRc86LqPsXmwvD9jkYKT3Qh9xLlT0Vr6bgUqqxb55qtiTVfjS5i8wA/6I3ENu+MoWxalU8U3ua3tENg+VaPKWI3EVYsi+oUag2iVIqscx/EFE/eKzIQ3z3GOQuRnYbCy/1xnneC5B99k8Kmp2UBlcuGpK7CKteAfVlTUJtvHxVAT9NQzegXie2EGBXfNipNh9qKFQarqA2J59fx0ftYmrU/bspg0WrK6QgXYDqEoRWDScRMBv2ONMGpVZptCHtzoZcU8FWLnsJS8cLEM4Ov9pcYIQIf3QcihcHFXB4PRh+aNEdj3BT8ROThf8tKnFjPfUBs/MqBEbXsXhEcGtumd+BmjIc59g+KEJHN0A1fOZ8ZZhrjZE1GJ904tBLmtYiObASVa+GnxEwx8gSlHdHBVfodA22zDTHqEb+02wbB9B8iI0zsHa/GW8YESUhDMTxrJjKjwbNlfr9OqVEATXWTvWUthtS4nPhHPwA9oF3QP52hGpFWJ2IFa+ZnUrpfSGlpxks12ffMsRbZ2G7aQXMuAJhaND2LJAq4uAqeG2wqXVSO2+ueRHr3kfZMQft2oV4R7+FtXjncRIcZeax8nZA76vrWppLDyE/HIf1yjno2cOQO+eFPYTRvHOTNosOVTMdLuKy4NxnzYJHUa7ZDaf5MbqOQ8RlQlSyOd9rj4Gd82HZK6Y+S0JrdN1AGlXmONSqN8EaZVbh6+9rDq6BDR9B+3PN3wKgn3IflSKWUPZZ/y103aBIJOAaNcXc5/gqwBqFR7io1ByRdfxXIhIwR/ifwzCg2O/GPfot1Oo8RO5isLowsodSLaKo9NlQmp+KK3UAlup8xA//ROR8g82ZgKXfTYjj2A7hKTNnXsDMbva/EdqcYb6wp8z05l34L7OFOW97eG/AGsSRdSjtuuAP0UKjoaCn9kFumRX+/ab0CspKl/hdqOlnYU8djETDL+xU6TYMzfSItPvyg4LlugPpiM+uh6u/MbPNtUFfXDYc3dL48fXZvxy1zZhAwCwEWL0FwcFyffYshL7XgjsZOfs2HDcOoEokN/0a9VDQoHB30w+qLgZbEgBerChZp9RlYxviTka31FVHVEUQI0sQvnJEwU5QbaiOBKyqg0pLEtVaeIVWrxKNrdNFyGNhPjNdN3834SzFFIuZJT8JgcsKEY379EeRs29rfKc9BnpcBlMvDNwkl72EfcSzVPkjS0KECL80brUS67o3zSRfbeJOCOw9rkQ95c+U+H773R2apuNp1h3b8L8hv/t7Ix9d7dQHqfQ1rsTVBYYmLqUaR6cLTdXmhigW9IF3UK2pOJu6ADriIGsw0upE+sRPsslTFIk4tCp0OyuY67U9GlxJgcSmPLwGpbsXCN2WrWkGRqvTERs/Cn++XcfiNEqx2Sx4DBte708LwCr9NiqxIRMHAuZMuVJZZAazfa+DBf8I/cTUXoid8+DU+8x55K2fmwn8lqeae5QFj5m6J7u/q/diBYglz+Md+CBqTDqKVEJ33AGk9zP3B0tfhCu+qAtSAQwD+e0D6Be+CfMfCn0MVyJ6YocmxdRsRjli/TRTsDNjAAz7i+llLRWozEfE9jMLFbV7AqlAh/Nh3PsY6z7AI821XVjs0Pli0y0jpQcktjG/4wWP1Y1QrZoCo16AbV9gDLwVsodiNSrw1Tpx/EYwDCPgJY6aWC+ejwTLvxaR3VGE/0kMw/T5FdYolA6tASPItseCF0vOl8gvbql7kqcMOedPGJPmg1RDVyTBnAc+ssn0OrbHmHNdH1xiKiG7W5itUZ0vMrOd+1eYC284LE4Md0pYZyefT8PocD589w9zsWiIIw6jRc9G2Vm/X6c8KPNuvkCMzY/4YUr489F8kLcN6ueUq4qhRbfwzwGIzURKiapK/H7dtODaWK8F2uoyF8v672Hbl6a914YPEevexdrv/hPeRGgoWGIzzBmkcNhjA2tHleHEPuLviCmnhVy09eGPBKy2hIBYpQTx/eOmiEpt4sAahXLm47hSeuK3tcQfJiPu9RkYXcfBildDVpINTyl0uwyxKvRcl9HpIqobVGp+Kl6/oLrlWdgvnoqc/7C5kRACWg03N0ffPBikjC7KDgV5T0eIEOGXwaJKrHu/Qy78Z/AdhoFc8xZqdAts3W48Kc2C/y/K/Q60ThNxdLoIDqxEeCsw0vvis8RR7j+xoL9Cs2M5/TFUqSI2zmgkUFWuJJkKzoLGbgaKFc74B8RnQ863iO//QWyH89ETO1ApY3FoRUjdC1KlWrio1iyN1laL1FHCeNgG2LvEfO1dCwDQ47LRsRCuyuj36+iZg5DO+Mbz2YPvhOyhiBWvYSnIwRLfClufSRhRKZQaMfxU55/a5ECx4cZ1zqvYtWKEvyp8AqDDKEjuDF/fF9xOn7sYoprDxW+ZyVtrVNCMsNw4A/uAO6gWUTi7jkOse7/xsaUCfSaZLewA27+CVsPMtb2WA6swEOiXfICccXlwt50zAW3CLMqJpalATxj19g77ltYJwKk2uPY7eOP0YKcPXTPtpHxVMPKfVOPCYfUj83fCjCuCO6+ad4aL3oBPJplBc1WR+fu6/gfE0a2Ib/6Cw+LCctrDFPvMxI9FFWYHBAa+GtVxRZG4jBIUrQpDSPzSSUWDjrQIv28iu6MI/9MYhimc0RCHKA8tpAWIzZ9i9LwCsSpEYClVc4H4+j5zPvjd84O9jssOw7y/mdXTnleY2dxRL5ht3LW4ksyW7tSeUFmETGyLizLKZVTIi2s5MbgnfIacdkmdGAmAKxFtwkzKjrPY1GJVQTm6FhFOjKqWvO3Q4dy6/879AYbcBT8+G7qNTghoMwLHxrew2+PRMwZQpSSYc0R9JkGn0WbQrVgAASvfMK2YNK+Z7e0+HqlYcesFVKruE6pyVoloLIPvRvnkqtAPSO+HT7oCVVpdN6iwZ+C6/Avkl3fUKZK7k9GHP0p1xjB8fgOrYuBWK8yWr7UNZtK85fDFbcgJn+FyJFGihW8FLNFjibnqG+Q3f0bkfGNuCl1J6IPvwZc6CCWtH+q+JcHt/GC2jg37K9XayV+aKzQHnpTTcU3ojcVfiig/Ym40PpnUyD5DT+2FX9pPqqodIUKExjiN4sbBcj3kspdwdB2Ph9j/v5M6Cao0K1VYUdJGAmbl+adeN4p9UbhOfRzb0Aeg7BBYo9Dt8ZQTg18zUFWJkb8Xht4HH11et+5c+Lq5ltb4EgtAWfMOSmIbose+h5hxlXlNVay4Ol+EY+gDFBtxQeuqIQSGam+6zVixmcnj2uf0vBKPr+lkbpkRS/QVX6N8eGldpbPfDWbb79TRda93YBViw4eI0/9GdLtzKVFaBN6zUy9FkWbrepWIaVKA0jCgXHPgUazE6AfDv5+EtrBtdujZ8/Kj8P0/YfjDYLEHi2rVBLaVfivWUx9CRSA2TKtLOEc1h5FPmB11tW4RlQWm6Gp9pIqBpDypH1E3rzG7vIpzoUVP9OQulBmx+I8zz68LC8RmmYGu5q0LjjuMMpPa4Wwxd3yNGHIXsVEqoroE8cGYoO8VMJPuX90Dwx8y2/C7jQdpNQPuvG0QnYJofw7q3oW4Ms/ASjVyy2fI1W+Ctxxr1ik4h/0Fju1AfvMX024SUNP7Yj3racrsGSeksh7ht08kYI7wh0NKgTi2NXTFFmDFZMRln2BIBbH6rboLbHQqnP2UufhOmInY+CGifrBcn1VvQu9rzGxzwS7odRWsfguiU+CiKaaq5Td/BcxF39aiO+qFUyhRWjSqFns1SWl0Z6KuX4Y8uh4KdmI074Se0J5yQi82UgpcosL0pNZ86BYnAoFc+65pn7D9q/AfUFJbc3asyxhzPkrzwaZPYcTfA+ccxIi/I/avgGNbEKvfRroScV45F9HzctMvceqFdVllR5y5OCe0NqvW7ubw5hmg+ZCKFVfXsdiH/qXG2zH8Kfr9Ov60QYjuE5DrGgS2MelooydTUaNIWku1bsEf2x3n+FmoWgXoOroligoRg89v4FC8OI8sRzZrA6vfCf/iC59AveB1mpqd03SDItEM51kvYj2zEnQfhmKnUsbi9RlIKYi+9BOUw6uR66aCoaN1HY+R1p+SX9Bj1O/XKMFNjArW2ZeGbmOXKkava/D4fvsVrggRfm9Iww9Fe8I/oLoE6a+m6Qjut0dTM6cnQoVmowIbIirevNZrpl9vtKyAwj1IRYGt38CYt+H7J8CZYM4X1xdvrCU/B/HNX6HjKDNg1ryI9dNQ9i4h5oqvKdKjAw/1+UHveSXKhunhT67lUKixWjTOfgrN4kZoosnrsl8zKLGkEzXhS5SqY1B2BJnQEvFSn9BPmP8IMmMArignumrBemgZcuETkLcVopJR+92I1nksJX5Xk2uhT1PQrDGo4VSTbVGNk7/12fODGeQ2qIwbrUfgFWYbcrHPhevUR3EMug1xbIvZMaZ5YenLsPfHuie16GbuFeofp8NoPMKJV1MpJBY1ezRCmG30ml/nRJL9mmLDGP+h+doWh5mkX/aq6Z28oQmBTYCS/Uh7rPkZNAyWazm62ewWbDvSFEudfErwyNTyVxGnPYjDKEd8cHFNF56JKDtsWo/OuiX4mPtXIN88nahrF1KkpEfmiv8HiATMEf5wCEFoe4JaNB/MfwTfxR+g9L/VbKu1ODBsMXgVNx5Nwe4vx7E1/FwxuoZxaB2i7VkYhzdinHofdLvU9GD+4va6Cmcth9ehvHM20dd8RxHRjQ7n0wRFxKA0H4psMcy0FtAMQi02qmIQ7TuA8sWtcGAlAIo9FuPyz2DXdzD0T+aMVkWeubjpfjNbXJlvVr2bdzE9DftdbyYJVr9tzvUMuAWungPrpkHhLlOAo8vFsGOuuYjVKk5W5KOseQvDFm0KidWnqghm3wGXTjeFRor3mrNIZYfNTc7aqSjHthI95j1K/FE0RanfifuUh7D0uwG57n2oLsZofx5acndK9ZiQ1Xpzns4NuE2BrxqhFSkFjopc5OrJpsp5uGQKwMHVCBHep7kWwzCo8NupwG7eoAE1yQ1dNyjW3SjJp2E9azAAPqw1YwO//MJaZkQTO/4TlA8uCg6aLU70i9+hUkmIVJcjRPgVMITStGaBEBiK9bekKfT/Sm0cEWOpQP3x32blTtdg/IdmYvfwenPtSesN08N7z7JzHgy6A6hXzS/ei8yZg6XNOHw1I1m6buCPyUa2Pt2c7W14Pj2vQJQehu6XQYdRiJy5WL64kbjzXqBYj2uyxVbXDfyKFeFIRLqS4NAqUO2h1xPDgB1zUXtfA6snIxc9VXdf2WHkvIcQOXOJHj0lsBZarQoSHc2QQZZLZcQRM/JJswutIZqnrgIcjurSYKFKxYp+6l9qhDjN91vhs2JVXKjzHzVblxsqUTvizAB27gNBt+nDHsCLDatVYhhG0HmfCLGWCtSFTyDWTa2rbjsT4MzHzD2E9Tiib5oPcuYG9kJhyd8Bp/0V3j4n9N/qgr+bWjWlDXyg+14Lc/4c+ph+D3L+IzjPepEK/68r7ieEKSxo18vBWwqqE5/iosII3bkY4acTCZgj/E9hVcGulyIAr3RSramNsrOaZpjzSU2gtxxGNU48mgvsceaNfvMfIXRUFTjjMfBWmHM82782W5O8FYFjGBYnnpHP4cdizri4k4kpXotoGCzXUn4UuW8xasa5QfPWDc9da8p7AYg2ClHePCNY/bG6GCFVuORd+PE/pg2FOxlGv2wudIV7oFkHjF0LECsmm3NIzgRwxMNFUzBi0hEVebB7oTk3lN7PbOv9cIK5GZg4C358ru71Wp2GmHFF+JNc/Cx0vcQM2mPSzIC5BnFwFUrpPmRUp+Ne6Ms0J8KShWXgwwjAr+knnLWuj0NUIhc8YralKce5LNpjMcRPKwdZVbDqFRhCpRpHoDqjaTpVgcvwr7dj1nWDEqUZ7gmzkaX7EUc2mDODLbpTYURFWsYiRPiVqBZRKN3GI0ON+ABGq9Pxit++6NeviU01UFdPQa58ve7Gxc/Bec/Dx1fD57fAZR83Xak3jMZBHCA3TMPW6lx89RwTSv0uYs99CWXLp8hlL0DpIUhohTHkHkRMmtnCXFUE08aBr9Js/f5gDO7xn1Gih9aXsCkaLu8h5Lx/IHZ9Z66TncfAxJnwxR1BVckAFccQQiAWh3Z8EHt/RM3fjKtZb2y+AsSq6ciiXegteiA6nIcuLWg6VBJLZVIvXBM+Q3zzF3N9B1MgKybNFLfKzwn9ual2M6iupXkntHP/Q7klGaNB91opscSMm44ybWzwdxGThjFuGmz6BKHaQFowOl+EPvguDMVBzKEfYO8icLfAaH8uVbip0o8fQDpUH+ripxBr3g6+o7IAZt6EcdMy6DMJsX956ANYXaauzOH14Eps8rWMFt0RBbuguiTsY8TKKdDhHLMNvBZbdJ1gWKjn5MzFOrKaCn69gFkIiFXLUL79K2LrzEBiQUnpgWX0ZErVlOO2vUc4PicUMB85coQ33niDzZs3s23bNiorK3n33Xfp169f0OO8Xi/vvPMOM2fO5ODBg0RFRdG5c2duvvlmunSpC1CWLl3KrFmzWLt2LUeOHCEmJoauXbty66230q5du6BjXn755axYsaLROZ199tk8++yzQbdVVFTw7LPPMmfOHEpLS2ndujU333wzw4cPP+EPJMLvEylNVWO5YbrZ4uqvxtLqNByD7qJcScKrBVcEvUoM9nZnI0K1JtvcGD0mhmxRFUIQq5agLHgUNn9iZi8Vqzmne+l0U1CishCExEjuTpm/TllRShEQEQn7PrZ/hZp1Ng3lxqQU2KUHqfvwSWdYgRibaiCWT25sAdXpQrNVbeYNdSn9w5jeg2f9G6KT4dVBiPotS6oN45L30JM6Ukk0Lm8VctnLwQuKaocLXjPboxqKadWft27IgRVmpVuqIbPfcvOnqIO64vWGEV6rh2FwQo9rCgtec9F1JoC0QPNOZptWqNfreQUeNQ58x1+ALAq4KUKsex+5ax5Yo7D3uR5/cg9KtagmW+1+aTTNoJhoRFRnlHZdMAwDrYkZuQgRIpw81X4F56C7TBXihiMRUc3QRz5Jpe7gj6xu6zRKkMtfDr5x31KzTfbymbB1thkMx2WHd0cQAtQQ7gWGHrLdvdjnwtJhIs725yMF6AiUwhyUd84Lffy8bSjFe5DR3RolclVVElWyCfnuuXViob5KWPm62UJ+yTvmaFLDWdsWPUxV7iYWArlqCo6BDsTb5wQeJzd9At/9HeXC11G2foma3g9/23PRm3dBOf9lc9ZXSCjeb46E9b8JZt8Z8vhGz4noca3gtg1IDPMchYKDSnQlJkjcUtMMStQ03BO/Qqk4jFGYC7Hp6FGplBOLtfetWHtdCwi8ShR27zHUN88Itumc9yDOkU8h24ymQrOHfd+A2QK9Nsx4lKHDtw+hn/0MMq0PIlQF+fS/meNxB1eZBY7tX4c+ljUKPbEDcsP7TU9GFOceXwC1IUL86uMWblmBMvP6xi4gh9aivD2S6Gt/oPAkbCojmJxQwLx3716+/PJLOnbsSP/+/VmwIPSm/+GHH2bmzJlcd9119O/fn6KiIl577TXGjx/PZ599RuvWrQGYNm0axcXFXHnllbRq1Yr8/HzeeOMNxowZw9SpU+nevXvQcbOysvjXv/4VdFtcXFyj17/lllvYsmUL99xzD2lpaXz22WfccsstvPrqqwwdOvRE3mqE3xhSCgwp0QwDixBoNQJeUgp8QuAzzDUkRRajvnt20AyPWPc+yqZPiLriK0pc7YNmrso1B+pZz6DaohGbZtQFe4lt0S+cQhnxIc8nWilFmTYWcbSecqfmNb378nfCWU/CJ5PQ+95AtXQFFQ0NA1O5uQkMewwGkvpPjFYqUAu3oSx/EaqKsGUMwtXzKsplXKPKoE0vQ4ZKAvS5BqZe0HhhFhKSO8G7oxrP9/g9iI8mwE2rqdZAc7Ym6roliMOrkUc2gDsZ0aw9LHnRDLzrozS2FwnCGmW+XlxWQCQDixO9zUh8zmaozTs1/fyfgZTmDFrtRyAEoChU6wYaAovNbWaKy4+ZPpzTxgV1DACQ2BZ6X0151fE3t4oicVfvRnnnrKDkgdz9PZbMwcRcMIVin9lOpqiSSh28mo5FkdgESF3/VQJqwzBCWphFiBDh16FYjyXm8i+Ru76t0SzQ0DteiNHxAkqMOIyTnAf+vSN85aHHpHbMMZPM7c9BS+2DHHwX4vNbGj8OoPUI2LOo0c16l7F4RBShOnh8foOSmhEou1XgDhec1Z7nzm9Q+/bA6w1ODruMEuQXN4d21ig/ao4xdb7I7EKrxREHab2CZ4BD4fcgtn3VeO32e0yRqvEfId85D8uhNYjMgeYMdGpvs4ur1WmmeFX7c2DAzablU/3W67Yjod8N+HUFS843iO8fg6oiFECJy0I993kqYrtQrZuJCKvUcIkSc/2vKoQW3dDsiZTpbnRdx49pfQUQQynKtEuCg2Uw1eG/vgdbWl8qba2anu2tzA8/dwyIfcvQdIExZirKtlmmL3VVEbTobo6U5S4O+ClTVWiOkG2cEXwQqaCPeYsK3Y47uWv4cwGMxLaNRVOriiA2I1j8tf5z2p6F91e0pBICVG9heMvMygLEttlY2k/41c7hj8IJBcx9+vRh6VJTxn3evHkhA2afz8cXX3zBueeey5131mWyOnfuzIgRI/j666+59dZbATOwTkhICHr+4MGDGT58OFOmTOGFF14Ius9utzcKohuycOFClixZwosvvsiIESMA6N+/P/v37+ef//xnJGD+HeJXJLmFVby9NJeyaj9D2yZxdudknIogr8rP419vZVFOPmO6NefvMTNRQwle+KtRPr8R16WzgrwgwVTqdJ76OPZT/2KqOFsc+FU3FUSHFDSRUqAU7AgOlutzaA2oDvRzn8fX+iwqfcEtOD6fhtHuHJj3YNj3rPe8Ch2BUCWKAKdRhnXe/YjNn9Wdx4FVsOJV3BNmURLdCb9Wl740EI1bipt3MpUg69s51JJ9iln5CLco+T2I3fNRW12Mz69TRAyx6YOQVUWIhJbw9rmhn1d+rMkqLZ3HmMmDxU8DUDbwPo61GsMHmyrZX+inhyuac3w6DingJOZvhBD4pKDCp3OgoII4p41ElwW3RVCuwbPzcvh8/SFGdkjgia4TcS59Gj6/GcZ/BFd+aQqF7P7enEHsMgaj00UUG/GcSPt0FCUon14VstIu9i5GyfkKS+uxVCP4bONhXlu4m4IKL6oUnN0lmXvPaIdTGJH5owgRfufoukGR7sbSagy27DMB8MqoGhXkP3awDJiq1OHQvJDzLfrwf6C1HIGly1jExgZCT0ntTPumhjPOCa3R250XmF9uCgOJYXU3XQy0RodMYir+crOSG47Nn8IFr9YFzO5kuPANDFczRLPOTZ9YmzMgnF6Kr8rsHEvuglj3nilY9dU95jx376shvb+5fn11j1llvnK22Z7s95p6JYfXQ+lhLPnfN3YNKcpFvncBrmsW4HW0wSq8uI6tQH56tZlItjjBnYziSiJ29OsUy4TAWiUEKJVHw3cDAHLJc9hPf5oqfxPJdfU4gabdFMgs8rmxtJuAs+0oVHzI7bPhy7vrWqUdcVQUHkIZfB+W7hOQy15GVBzDSOmJ0e9GKpREPD6BI6E9lnr+20EIaQq5vn5a8O0rXzd9oT+7ofFzLA70YQ9RWW8W/JdGUSRi99ImHyN3fIml/Rig6Yp+hKY5oYBZyuML3EgpEULgdgfPd0RF1YoV1LXKNAyWAaKjo8nMzOTIkSON7jsRvv32W9xud1D7tRCCCy64gAcffJCdO3cGKtwRfvv4VYWHv9jCN1vqspNLdhXw0nc7+eDa/tz/yQY2HTLbjsd2dmL/sgkVyLztqP5yEI1FpCo1K5XEg7WmoqxBuA2MxaIgN38S8r5ajNxFVJ3yNyorQ7cIVyvROIbcGyzwUYPedSxl9hY88W0Ox8q8jOzUjDExW4OC5QB+D3LGBKKuWUhxvVYbjxqNtetlyAV/q3uszQ0V+aFP2J1szi83gTi6CdlmLKBjVzWUpc8hlr5g2jAMvgsWP9P4mPEtTb/M6eMbC2jEpGMMvhM2fYzI+ZaygffzsWUUj7xeN2P1zZajPDd/F29f1Yc2sQ4Mve47EULglwKPbuDx6TisCg4pMBrYhwkh8EjJXTPWs3xPIXaL5LbT2tA7K54jJeY5XdQrDb9uMHvDIe6YNJ7sHTPNjc/U0TDgVnPT0etKDIsTrzWeSr817Hx5QxRfWfi5MUAufxl7q5E880Mh7y7bG7jdrxt8vv4wa/YV89G1/bFE1LgiRPifwOfX8dWq60cSYQF80omS1tt0ZwiB3vMKqkQ0Hp/APexRLANvQ2z8COEtR28/CpHYGnLmImvEGKu7XUFR7zs4rEWjl0iSo82uHVVApYYZ0RkGTkngeu716eg9JqI0nJeth9FhVGjRqlCV5aA3WAmJ7eDspzDistFisvBY3Ni95ShFeyBrsFkNbYg7GdL7wpz7wh+7eB+4mpn/f89CSO0FuYvgq3tNp4u03mYyf+lLpghnYjtzFGrhP821+bZ1pj9yyDesI+Y9hGPUFGz+YuRH48GZQMGI/1AQ24XdBdUkuCykFxcTk+CkXDcDMikFFOY2Pl7zThT0vpOquHYI1YYdiZQibFJYs0ajNFG91XtdTbWMAd2o6RZwY1UFbr8HWRMs+9MGcHD4izy9pJCv/5ND82g795z6KEOzXNidUZRXqwHBy3IjmugJM1HePTd4VEyq6Be+gdeagPXid5CzbqwLqvevgO4TzBn7eQ8HigRG9lCMM5+gLMQs+C+JYQCW4wifWRwYRHRKTpZfTPRLURQmTJjA9OnTGThwYKAl+6mnniIxMZHRo0c3+fzCwkJycnI455xzGt23Z88e+vTpQ0VFBWlpaYwePZprr70Wi6UuM5WTk0Pr1q0bBfe1M9E7duz4WQGzEBAT8+u1U/wvoarmH+TJfl5CwNebjwYFy7WUVvu5ddpabjmtNXd/tB4Ah0Vpel4WkIaPmNiTOy8phTmv3BSqDavVGvTbDMaB0e9GjMwBiIX/NAOq2Az0QXeyJ6onZz27Fm9NdXtIhoqy+T/hX6siH7XiEDHNkyn1+Cnz+Mkr8BDf9mpi4zqT+P19ZvBXlAv9bgx9jLKjkB7G9qKW5p1wOi04HBbUyiPIVW+Yt89/FAbeZmatd843F5i0vpDSzfT6jU6BCZ/CmnfNKrZiw+h+GfSYgM/RHLX75SBUDqddwCOvNq7ae/w6k95Zxbd3nUKiu+67O1Lm4a+fbWLRznwMA2yq5JLe6dx6Wmti7XWXtJJqPzdNXcX6/SXYVMmrE3oxbcU+npy7PfAYmyq58/S2ZJzamsum72Xq2I9olvs57s3vwcrX0fJ3UdTzFh75Np9D5Ue554y2tG/uxmU9/uIjjzWhxA41SQyDqcv3hrz7QFEVC3PyuKhH6nFf6/+DX+rvO8Lvg8j3/cfiv/t9OzBGvYR484zGokvxLREDbsHucNbUxxxoUYmIYQ8D5ohJuVfD1/ZSXO0uwKfBJ5uKeHryDqpqgluHReGuEW3pkRHLrdPWcrikmox4J7ec1prT2iURbatZN2wZGJ0vNse0GmAMuAVcCcRYGn8+oirGFH9qqB1SS9YQyPkGHxY+L8zmXx/lcqzMw5Y72uH89iEY+x64U8xKdG3wnTHATDofr2U7oXWdNormN0VIa9k6G2PSfKqUaFRPEdacL82KdO17Su9vinY2sJQKem97F2GVPuSK1yCqBUcunsXdc/P5cefOwGPinBZeHZ9M51Q7FsWs0cu49KDjlPe5lY0Zl/P3BcfYcng/AINaFfHweZ1Ij7WjyBCaMTgwLpiMePe8xl1wSe2g2zgcdnvjhudul8L6aVBZwIHhL3Le27so85if64GiKu74bBeqFHx4XX+6pjqCugb0qHaIG5YgDq02lbXjsqD1CHRrHFK1o2UNRVy3EFGw09zzRCXB9jlmpbnvdRCTblajDQ0toT3O/wehEpE10PzeG+rI1GD0vR6ryx25ph+H42m5/qIq2ffddx9RUVHceuut6DUVoYyMDN59912aN28e9nmGYfDggw+i6zrXXHNN0H29evXi7LPPpmXLllRWVjJv3jz+85//sHnzZl566aXA44qLi8nKymp07JiYmMD9EX4fFFf5ee2H8K08e/IraOa20SklmjM6NqdKjaby1EdxLn489ByUxWlaHJ0kum6gdL8UagPGUHQec1y/Pc0ag5YxFGVsN4TmxZAWtpdZOfs/wRnmRLsI3RpUn/I8CqN93PLBWlbtrcuItmkWxasXz6blnImIgyvB6jSrvg1bpHJ/gFPvg0XPhM6SqzZK0k6ltNRDgtOCxVsGhoHe8QI8UelYi/aiTBsPaX1Mv8cl/zHtHo5tNf/Ztxy6jYPhD2Gk9sYfnWXarAB+Wzx6nxt59+vtjV+3hgqvxrr9JZzeLgmAwiofl7y2jCOldTYdHr/O1GV7OVhcyZMXdQ1sfvLKPazfb26+LuuXwewNh5m7OTgJ4/Hr/HPONl4c3wObRWHE69s5te0gnrz4Yg4VVfLF9nKmvbmP8prF9tLXl/PoqE5c0D0Fm3qczhtXUqCSEQojuSuHKprUe+GTNQc5o2Nz3LZf9FIdIUKECL8p/DEtUa9fDKvfQmybbYpO9rgco8Mo/PakRo83DINSj5/1B0p4deEu8so8jO6eQnq8i398GaxIXeXTeOyrrfxtVCeyEl0cLqlmX2Elf/p4A5f0TuO+M9vjtilotjjEmU9AmxGIxc+YVokJrTBO+RNGen80S+h9hG6LR5xyD+LbhxrfKSQMvBW+uIOiUe/xyHu7KK0y15Pvcqs4J6G1qZdx5uPm4yryTPGyg2vg46vMVm6phl6f7THmul6rit3yVFhjzmHrqX04evoLfLNN57tDZxJrV5g48lqyKjcRP+cmjIwBpmBnQyGyhihW/IagLG0YRb3+zNpD1UwckMXVg7J5fdFulu0upKjSx+VvrWHunUNo4bYjBRgxaYjoFCg9hJHen5UpE7jq/Z1Bh/5xVwGjXlrMl7cOIT22cbuwAfibdUW9cRksfgax+3uwujB6X43RcXTI3wWA356EOvFzKo/t4cnFhYFgOegxusGfP9vIe9f0C0q0Gwj8jmaI1mdRlXkmFV6Ng8VVxDoNou1+Yu0qmqMZZf69eK3piLIy4ooPYTm6Cb64ve4Fzn0WMv9/ukg0WwzKsL8i5j/S6D4jczBG8+O0/Uc4IX7RXdhrr73GG2+8wZ133kn37t0pKipiypQpTJo0ialTp5KWlhbyeU8++STz5s3jiSeeoFWrVkH33XHHHUH/PWzYMBITE3n11VdZtWoVvXv3DtwnmkgPNHVfUxgGlJSE8U+MEERt1upkPy+PEOSVNbaHqMVhUWjmtjFxQCafrDnI7A2H6Z05mGvHLSRl9VPYN08Perze7yYqDDfVv8D3GO1MxRrOv7H9uXhszSg74dexATYMVfLMt1sa3bspX+Os5j2whLOhAvT4Vlz9ziq2HArObOccK+fitzfz5S2fkWQUo0kblss+RU4fC3n1AlR7LCDhwsnw6XXBi7JipXD0+zww9wjzdmxlysQ+9EiKp2D8YqZtKmPHUY32iQrjxj1I0vpXcK6bYgqZ1CJV8FXA6rfRm3WiWomnojR4jlpYFfYVNL1g784rx5MVh9+v831OXlCwXJ8F2/IoKPeCx4eiSNbvLw7cN6JjMhPfDGM9Aby5OJdxfdJ54uttLNiez/r+Wdz3yTbyyxvPff/jy60Ma5eEXW+6NdulOHG0H4UIM39WPvB+dpY2XakWwlQAL6kOL3zy/8Uv9fcd4fdB5Pv+Y/Hb+L7jsPW6E2uPazEQeKQbn8cAT+Nz8iuSf87dwaz1hwK3tUyKCuogasjrP+zm/rPas3RXQeC2j1YdYNLgbPTq2j2iHTXjXJzjhiCFjoZKJW60Kh2qwn820R3HYdF15KJ/1yXuY9JMpeatX1A05G+8tt4XCJYB/vVDPqdf/hK2d0bCl3eZuhkfX22qXNey6k04/0X4/NbgKqvNDRe9AQtNQVx/5hD80VnYFSsktWPnaa8y5t1dQa83cz2c360lD968gyi8VMlYFEMnugnbKW+3yzmqRfPQmkQW7qhbQ+NdVh49vxOJUTZmbziMV9N5a3EuvbNi6Z0Zj4Nooi+dgfLOOeT1vZcHvzoU8vjVPp2n5m7n0XPaI8KI3wnRHPvQf2AZUomBpFqJwefRQ/4u6ojCG9+duVu/D/uIHUfLKa/2ITzB66uUgioEd3+8geV76qrv7Zq7eX1iLw6XVPHkfFi3/ygxDguX9biZCRPuovlnY0yLMqmgtzyd4uL/r78lSVTnCdiad0UufMxsC49KRu93E1qH0ZR4nBjVVb+Rv/HfLgkJUU1WmX+xgHnXrl08++yz/PnPf+aKK+r8VwcOHMiwYcN46aWXeOKJJxo979lnn+XNN9/kgQce4MILLzyh1xo9ejSvvvoq69atCwTMsbGxIavIJSVmham20hzht48qBe2auzkWJmh+ckxXnvh6G99vr6u+5hwrZ8Zqwdvj7qZ/xVHU3O9AsaD3uR5/7+uo9h1/Dv9EKNWiTP/GDR8gl79kttVGNUPvfyta50so8x1nloRadWZJtQZgqn/nlTd+r9PX5TNpws002zIjWNmyBiOtL2WWBK4c6CI52o4UgtX7ivhg+V6OlnoorPDy/Y5CRrZNwu/TkNKJ+9KZKFXHIH8HIroFIjoVNn+C8FViTJoPuYsxjm2hLK4TpRmn88SiQr7eai4Yc7ccoSAzlrtm7AhURb/bDq8tOcyLF0ziVM2HPbYZlc36UHrLXgrLK7GpKtFOG1GKQaW3cXBolZI2zd38kBNmxhrITjQ/U59h8OXG8BoHrZJcFFf5iLLasQLJ0XUZa5+m42tijmjzoRJuPNVM1lkUQUKUjYKKECJpmErWmw+V0jfVbXp6h6FSt2E585/I6hKUPd/X3aHaKBn2BNN3OxjazdlUEZoLe6RilwJ/ZN4xQoQIfwA8foGHGi2cMNc9KQX7iqqCgmWAWKeVA0Xhg4GDxVXEOBqPS3296QhX9E4LzCf7/Tqltedgnshxz7vU78TW+RqcnS9GqS4CKTF0jfKSYvI73sxzSwv4fNOxoOfsK6xkfWUSva5bjFg3FbnqLbh0Gnx9HxzZYD5o80yMlN5wyyqMXd8hCnIgoQ0ivqUZLB9cjaf7leR2vpX7PjrIUxd8ictm4frpuUHBci2z1h/hzM4p9EiPYeaqA8zecIh3T3+ahI8vbFzFdsZTOugB/vrpJhbtLAi6q7DCy50frmPatf1ZsO0YlV6NDQdLSHTbeH7+SqZe3QdsmbivX0x5pZUDRaHn0wG+3XqUB89pT7iBN8OAKr+Fqlq9luMkq2vRDQPtOGunpkPD8V6PEFz19ipyGoxVtUxy8d32PB7+vE7MtLDCywuLD/PVdhfTRk+n2dRT0M99gUqOvxf8JSn3O6hKHIDzomko+DEQVIpYfL6IqOAvxS8WMG/btg3DMOjcObj073a7yczMZNeuxgqCzz//PK+++ir33nsvEydOPOHXqm33rj+v3Lp1a7755ht0XQ+6fccOszrXtm3bn/R+Ivz3sBgGtw9vw6KdjYOo9sluPH49KFiuxa8b3DIzlzk3v0VS2XaITqVKuKjyWZoMSn4qxT4X1i7X4uw8FmFoGEKhUsTgPQFfXqEIyjR4bcEu5m89hiIFF/RI4fELuvCvOdsY2jaJDi2i8WvmhX7RsSJOO3cKcXNuDm6dSulB6UXTWXbQy+QfdrPzWDlCwKBWiTw7tjvPz8th+Z5Cvtuexxk17cy6bopiCJsbmd7GFNowDGxdrkUxPBiqg0+JZWXVII4erWbFnJ2Bz0yVglHdUhj3+rJGn6NuwK0zc1l4w53Yo5N4eeE+3lu2LzCLnRrr4N8Xd6VdghWtgWCKrulc1DONt5fkhlzYEqOsZCa40DQdIcCiNE58qFLwjws6Y5GSp7/dweGSKto2i+KmYW244/Q2PDcvJ+Tz6hPntAbarq8cmMWK3QVN/l4qvBqmuWL4BxkGHPC52dDmH/QbbKAeXY9hjaIivhOvrSxi2tpDGDY3VwzI5O0ljeeY0+MdDG2bhN8fei4pQoQIEf6IGFLy9tLG10whoCljBSkg1mHhqTFdSXLbOFrqYcaq/VT7tOPOL54IZrAfA2qMaffjUHl/6wGe+iZ0l5hVFTSLdlCo2XH0uZNqnweQuMfPQvUUgr8KbNFUCzeVfgtqq0tQ2goseLD4SuHsZzlYIXhvQxlT38mh2qdzzptlvHN1H/bkV4R8TYC3f9xDxnmd+Nccs3X9iXUJ3Df+W+KXPoGyZwEoVvQuF3O0260cLReNguVafJrBjNUHeOaSbtzw3hpinRbKPX525ZUzf9sxzm2fRJE/Fu04kcbxxth+Lhagd2Zc0LhafZpH23BaZFAALqXgQHF1o2AZYHy/DG58b03IY+3Kq2DOwWaMv2Ut1TKGau04eje/ApqmUxYUqEeC5V+SXyxgbtbMVOnbuHEjvXr1CtxeXFxMbm4uAwcODHr8iy++yMsvv8ztt9/OpEmTftJrzZpltjh261ZnID5ixAg+/vhjFixYwOmnnx64febMmWRnZ0cUsn9H6LpBeoyNv4/qxCOztwRV1y7vn8lHq/aHfW5xpY+9JTqWmM4YuoFfSjzC4GipB7ddJdqm4hBGk5XBE8HrBy/155lOxJdXcKRKY8xrS6ms5+P4ysLdfLzmINOv689DMzfx99nmPFK0Q2XigCz2thlI1E0rkcc2ISoKMZK74HOlsCjXwy3T1tadgQGLd+azdl8Rb17Vh2vfWUWMw4JVFVTrpholmo6uGwgBuhQoUuLxCwxDwUDy7dajIau9g1onsnBHXtggUtMNdldHsWDdPt5ekht038HiKi6fsoLPbxlMol0Jarvy+TTinBZevLQHt09fFwiywWz5en5cD+IcKj6fhqJIxvdNZ8G24Cz9A+d0YPnuQj5bW+ePuL+wivnb8vjrOR24rF8Ge/LL6dDCzdbDocXhLuyZynfbjnLH6W0Y0yuND1eG/40BdEuLCWk91pDyao3bP9+Hw6KQHp+Bx6+zt6Cu9e2Vhbv5+rbBZMS7eKVmDs+qSM7t1oK7hrfBpuuRJS9ChAj/cyiKNCNYAN04oetpLX7DoLiy8ZjK8j2FDGvfjPlbjzW6z6ZK3rqyD2v3F/Pmj3vYX1hJZoKLCf0zGN6+2Qm7H5wohgE+j59zu6bw0ve7gtb8kZ2TubRPOlZVUuXTsDgszNuSx4zVB/DrBmd3Tubcrik4FT1or+L36/j94EEF4lGtkhX7C3l9Wd2a4rQpTY60AWQnRjFrXd16+fGGAn7YY+Pavn9hYJ9/4NcNigwns1cU0jOjCcsvYPXeIi7onsq5XVtwRsfmPPWN2RI/feV+hrdNxAI4VUmLGDuHS0KPUw1r1wwd8EuJlV/OStGCwQNnd+CiV5eETKLcP7K9qZRe76tXFMmSXY0TBLFOCyVVvkBiPRTT1uZzeqeeWH5FVewI/z1OOGCeM2cOYAbEACtXrqSoqAiHw8HQoUPp2bMnnTp14rnnnqOyspIePXpQVFTEG2+8QVVVFZdfXidb/+abb/LCCy8wbNgwBg4cyLp16wL3Wa1WOnbsCMCqVauYPHkyZ5xxBqmpqVRWVjJ//nw+/fRTRo4cGRSYDx06lH79+vHAAw9QXFxMWloaM2fOZPXq1bz88ssn9SFF+PVRawSUahctqemc0S6RU9sNZdXeIkqqfPTKiCPWaeGtBgFZQ4orvYhYG16p8LfZpjVVbaCXHu/ghXE9SI+yov+EBfqXoNoQ/GXmpqCFs5a8Mg//mZ9Dq2ZR/FhzsS6t8vPigp34tJak9s9EJg5GJAl0XafaL3nki7WNjgNm9fP9ZXu5aVgrzurcgs82HGHBtjxcNoWJA7JIjXXw/qoDrMgtpHm0nasGZNIixoZPM7jx1FbEu2x8tfFwUPAa57SGnR2uJcFl4/0wis9+3eDF73K4cWgr0lyWuu9ZCqp9Got35jP1mr5sOFjCkZJq2jZ30zUtBr+mY5ECNDN72jE5mu7pMayrEfNKcFlJi3PyyBeNZ8ABHv9qK9/ceQpTl+by0Lkdue7d1Y0EQDqnRHNJ73R255djUSQF5V6Gtk3inSW5lFY3XhyHtk0yldm141d+YxwWpDBFZ3YcbZyxbtMsCqEbXNCpOWd0aIZPM1AVgU2A1PWI80yECBH+pxBC4JWSdYdL+aQmyXlxzzQ6JLux6voJVRutUjCgVQJLdwcHNtNX7OOly3qyZm8RRQ0C6kdGdeKD5fuYvfFw4LY9+RX8ffZWth4q4+7TW6P+RK9cVZVU62brr12R6CG6gaKkwYfX9ufOGevZeaycu89oi92icOs00xHjnav7cvMHa9ldryK84UAJbyzew0fXDSBGCW+75PfrDGmZwA2ntGTyot3oBpRV+2kW3bTfbqskV8CWs5ZjZR4em1/X4j6hfya6TsgW9vrEOCys21/ENYOzyTlWzv5CsyW+2qcF1i+HhIfO7ciN7zeuzloVyTVDsrnolaWkxTl4bmx3XJJfJGjWdYNUt4V3r+7LAzM3sbdGLyXJbeP+ke0YUKONUh/DCP2eLYrEc5z25iqvFlmz/4cRxgn2QtTaMzUkNTWVBQtMSfvS0lImT57MvHnzOHz4MG63mw4dOnDTTTfRo0ePwHMuv/xyVqxYcdzj7d27l8cee4xt27ZRVFSElJLs7GxGjx7N5ZdfjqIEDx6Ul5fzzDPPMHfuXEpLS2ndujU333xzUMX5p6LrBgUFx7GHiQD8PNEQTZFU+g2W7S4AAf2zE3CqAqVesKYoEiHMgAlF8tT8nXy46kDYY8678xRcquT+WZtYuKNxtdRhUZhz+xCcIeaCf03KEQx7emHY+62KZPLEXlz51sqg2y2K4Lu7hmLT64LMfK/Omc8vCnssh0Vhzh1DGP3Sj402DsPaNeOSPmnc+N4aOqVE87dRnZi76QhzNpvzwae1b8Z53VJ49IstbDxoBqZ9suI4rX3zQAtXQ+wWyVtX9eHSyeGFtRKjTJGQbikxWGvei1dKJr69kl155mahS2oMcU4LB4ur2J1fwYzrB/DlhsNcMzgbh2FupnyKwoerDvD20lxGdGyOpht8uuZg2Ne9f2Q7rBaFlBg72Ykuvlh/iO+25+GwKIzrm0GP9Fj25FdgUQTfbD7KuL7pPPz5Fu4+oy1/n72FbUfMqrQiBed0acHFvdPIjncGvo+m0BXJo19v58t6m7T6vH9NXzokOE664+H/g4hgyB+LyPf9x+L/6/v2qQpXv7MqcF2tpWOLaN6Y2AvLCY6gVEvJmc8vapSA7pQSzWMXdGbOpiPM3mBed8/rmsLIzsmc/1J4i6YFd51CkkNF1w28IZLa9ZESvFIxA8TiKjDM0aA+WfFEqwKjQTJeUSRVBhgCNhws5aaawPHiXmmoimDaitAdTUNaJ/DUhV2C9kOh0BUzcF+7rwifbtAvO567Z6xnZW7oVuQPr+/Pun3FPPF16PUc4PELOvPWj7k8cE4Hbp++jpKq0MKTj43uzPvL9/Hns9tz14fryKsRyrx2SDY3DMxErwlIdSnZeLSMx77aFmgX75kRy+3D2zB12V7m1XQFZCU4+eCavlh+wYKGqkoqdajy6+iGgdOi4JQCLcxvrQLBsGcWBnXUSQHTruvPpZOXhQ2Krx6Uxc2DswLv+bdG5JreNAkJUWYnZhhOuMK8fXt45cFaoqOjueeee7jnnnuafNzUqVNP6DUzMzOZPHnyCT0WICoqioceeoiHHgoh7R/hN4emKvx73g4+Xh0c7Iztncadw9ug1FzM6rdqCU1n0pCWfLLmYEghpAEt43FZJBU+PWSwDGa1b/rKfUzqnxkyI/xr4T9OUOTVdGSIQSqfZrCvqJI28U48wLYjZTQ/TgbZwEA3jJCL3HfbjzGkTSKntk3ixmGtuH7qagrrCVy9u3Qvn68/xGsTenHLtLXklXnYW1DJOV2SeX7+DqpDZFltiiTa3nQm2mlVKa32U+nXsUpz3qyg0hcIloFAgF7/XKIdFi59YxkfXdsfOwbSMJjYO5WLe6aiqIIHZm5u+FJBFFf5WJ+Tz9JdBahS8OSYrmQmuDhUXMXHq/bTMyOWRTn5ZCc6Ob9HCh5NZ+3+Ih6cuYlJQ1rSMslFtU/DYVH4bvsx7v14A59c1z9wfFPETaG65vdolWaHhGGAouv89ez2FFd6A50DYCZB/nxWe1olOH9SK2IjaiocHr+OTZXYJcH9ZREiRIjwG0GokhcW7GwULANsOVzKKwt3c/vQbIwTuIY5hcG0Sf24/r01Qd1PNlWS4LIxsFUC53RJYVdeGUWVvrCjXO2T3TxwTgfW7Ctm+Z5Cktw2LuiegtuioIRKiiqSKiHYm1/B/qIqPl9/iHKPn95Z8bRMiqLKIkl2WoI62DRNx4qZIH6qnor3yM7J3DotdKcYwOJdBXh0cB7ns5CajhM4Jct0qdB1g2cv7sY1765m+9G6z1qRgtuHt2HZrgL6t0zAbVNDWi7Vdm7lHCtn1tqDPDeuO5PeWdVIZ2RgqwTiXFa2HC6loNxL7RbHZVUY3zcjOODUdXq1cPP+1X0oqvZTVOFj+9FSHv58M7n1nDJyCyrZU1BJ+3jHL9aa7febn79VAgjQdZpadh1ScNfpbXn627rZc92AhdvzGNMrjY9CFGycVoUrBvx2g+UIJ0/E3DPCfwVFlcxYd6hRsAzw4aoDZCW6GNutBVqodhlVMOWK3tzWIOs5oGU8T1/cDTs6qw6XNjxsED/k5HN533SaDvFO9L0oVNYKaCkCURMsNcRhkcS7rEHBaX06pUQHWoYakuS2M3PzUZ6asx2vpvPeNX1JcFnDKjkPb9+cncfKGdQ6kUUhZpKnr9zHw+d15I1Fe0KeT3Glj1cX7uLpMV0xgNaJLhwKTL26L1e9vSpojifarvL2VX2JtVtIctvCzk9d0DMVl0XFokgsqtlmtie/6e9p57FyLuyRSvbALPIrvGw8UIJVlfTJisMuBVbd4JTWiSFn1mrpkhobmG/26wal1X6mr9jHtiNlXDM4iw+W78MwDDqkRDP+9eXcclprhrZJ4vsdefzlM3MEpb6QzO3DW+OQprqmVCTlOrw8P4cvNx6hXXM3t5zWmowEJxYhsAqwGTr/vqgLpR6NNfuKcNlUeqTHYoOwNhrHQwjwKgr/WbCTz9YeDATMo3ukcvtprbFqJ9baGCFChAjHQ6qSKh00w0ARAqciGgk4nghVOny6Nnw30IzV+7luSDZNp4NNdM0gLcrCJ9f3J7/CS36Fl/Q4B06rwtPfbueztYd49+q+3PvxBq4elE11iPNtmejib6M6cesHa4OcKl7+fhe3DGvFhD7pDbrdBIeq/ChS8Oy8nCAxqc2HSvlo5X5endCTJLct5LXdpxtBYlwWRYYc0arFMMDr13GGcR+0WFQ8GFT6dMo9fqLtEpsEFQMH8NYVvThc6mFlbiEOq0r7Fm6+WHeI95bvo09WPi9d1pO7P1of9N5TYuz8+5JuPPblVhwWhSsGZpEWY+eTGwfy1o972HCghFiHhQt7ppHotnLPR+uxKIIWMXaKKr10bBHN/We158FZm3h0VGeiZZ3gqt+v47QqPPbdrrBdV2BqsXQemHncSn8opBR4EHg0A6+m47Iq2CUnlIQJHEPXubhHCj0z4/jP/Bx25ZXTIsZB59RoeqTHEWO3MHX53kDxoEMLN09d1JUoaaA3OGWrVUEIgd+vn1xyPMJ/nUjAHOG/QqUOry/aHfb+1xft4bwuLQglNyF0g87NXHx56yD2F1VRXOmjVbMooq0KqqahC4Hb3vRP221Xa6q5Pz+oUBRBFZJpK/bx6ZqDeDWdU9s148ahLYlRZaO2LKeEW09rHXbe9oahrXhxwc5Gt/fKiCW3oJLHvtwauG1lbiH3nNmOP3+6sdHj7RbJxAGZfLz6ACmxjpCvdbTUQ5LbzvytR8O+v+935PHoqE64FEGFZpBfrZESa2fO7UPYcKCYXXkVtE120ynZjQMDgcFTY7py9dsrG7UsZSe6OKNjcx74bCMxDivXDM6mXZKTFjFNb43S4h30b5XAM9/uCIihgRkw3nBKK67ol8HwDs14et4Oou0WembEoRsGy3cXklfuoWWiCyHM9wtm9aF9spttR8o4t2sLrhncktOf+Z6bTm3D8/Ny8OsGU5fu5ZUJvcg5Vs7BGh/F2vfTIyOWcb3T0fwaQghK/DqjX15CabWfqwZl0TMjjie+3hqYV+6TFcffzutEM7tCgkUwsm0ihsFJL5xeKbnpgzWBWW4wq8wfrtzP1kOlvHpZj4jwSIQIEU4KIcCnKLy7bC/vLdtHmcdPYpSVSYOzGd0tJdAFdqL4NQNPE4FLtU83O7FOULFa1wysGKQ6VdJcFtOZoNzLZ2sPYVEELpvCtGv7k1tQQff0WD5pMLpzy2mteeCzjSFtHV/8bheDWyfSJtYeqHRWGYJDxZXkFlSGVF6u8mk8OGsz71zVh6gQ56tIEZR8PVpaTXaiK6yitdum4mig4mweSOCXkvxKH3/5bCNr9xcD5vc1rF0Sfx/VGZuuY9F1MqOstOqeQjWCM577IaDLsTK3iKfmbufxCzsjEBRVekmLc6LpBtNX7GNYuyReuawnLgG610+C00JSlI0rB2ZR4fEzfeU+NtfMQV8zOJsom8r7k/qxJ6+CR77YzK68Cl79YRf3Dm8d1PUkgFinuT+zKpKBrRKIdljYnV/OpoPm8WKd1p/laiIUSV61nz99upENB8y10WFRmDggk6sGZAb9Xi0WMwvh94dOLiuaTvs4O89f3BW/DqoEqyLw+HVuGJLNFQMyKfP4zc4uRWIXweu6pkjKfTozl+3jWJmXU9sl0S01Bgc/TeAuwm+HSMAc4b+CTzcazdbWp7DCi08zsIn6FzbNbHNVBBU6PP3tDpbuLsCqSgRw/SmtGN4uCcWv0TopCodFoSpMFvzKAVlYgZNpyK5EMObVpUHtYB+vPsAX6w/x0XX9SY+yBl9A/TpndWhOhcfPS9/tCpxbrNPCw+d2ZF9BRVD7VC0PnNORB2YGB8Y/7Mjn7jPa8uSYrrz03c5AZbpfdjy3ntaG/yzIoX1yNPsLQ1es2zSLwqKIJgUqrIqprD156V7eXbqXSq9pvTGkTSJPjO7CGR2bm1ZVJVU1Ss4GnZtF8fktg3nm2x2syi3EZVO5pHc6A1slcO07qzhUo5K5cEce53VtwX0j25MUZQu5YQEzifDB8n2NlLENA15ZuIt2yW76Z8fx2Y2D2HaklO+356Eqgscv7IymG7RqFsXz88y2KkUK/jOuBx6fxvw7T8FlkUhN564R7Wjb3M2/a9Q9Cyq8/Onj9fzroq7sOFrGDzvysKiSS/uk0755FBZNw8BUGX/y622UVvvplRlH59SYRu11K3OLuPCVJcy6eRBJVvmLKLHW2l7UD5brs+FgCfuLqmkda/vFWtp+KRRFUG0IqjUdj18nyqZG2sgjRPiN4pWSW6atZc2+4sBt+eVe/jlnOxsOlvDgWe1Rf8Lm36IIoh1qSH9gMNdCVZUnJKhYH8MwrYlsNpVPFu9BkYIXLu3Je8v28tlaU8jqjSt6BwWnDotCgssaNBLUkFe+38WTF3RG1iTWK30aiVE2npwb2iYKTG/lSq+G26Y0CsSsAoZ3aM63W8xE9bQV+7hmcDZ/nbkp5LGuHJSFo0G8LBTJ1vxKFEVwx/R1HKvX0WUYsGBbHkdLV/P6BFOt2TAMfD4NiyKZfm1/7vhoXSChu/VwKXM3H+XeEW2w1LhneA24f0Rb7IpE82sBlwaHMGeu7/+0LkCPtqtM6J9Ju2Q35724uNF+4rvtedx6aqugjgGfT2Nc7wxsqsIZnZL5fvsxCsq9XNQzjT+f5eapuds5o2PzgCf2T6HSgItfWxbUZl7l03jth92UVfu5/dSW6AZU+nXmrT9MlVdjaNskmrutWHWj0fel6wYKBkjJkXIvU37cw8Giajq0MO0g4+0qUtPNFu96z9MUyXsr9/Pid3V2uh+t2k+S28b0a/sRp4rfhW5JhGAiAXOEJhECDEXirfnbVjB9kk92I65KgVWRQUrM9XFaFSyqpNSn8f3GI3j8Oqe0SSTBacEnBGNfWxoIvmp5YOYmDgxtyVX9MrABT1zQmTs+Wt/o2P2y40xboJOYXxaqZPLCPSGVoz1+nfs/28iUCb0atXwrmsa4HimM7p5CfrkXRQrinBaiFEGZ3+BwSTUfrzlAtU+nQws3fzqzHS6b2sgOad2BYiyK5JPVB7jj9LYkuKwoUrDxQAn3f7qBg8VV3HNGO8ZNXhby/K8YmIXPb5AW5+BAUWgBiPvPas9Tc7czc12dcqZhmMH6Ba8sYdYtg0hooCZp+DUSXRbuOaMtx8o8JEfbeXXhLl78bmej+acvNhzmigGZvDGxF5e+sbxRa9qEfhk4LQqfrAkv8Pb6ot30zOzJrdPWsqVeG/60FfsZ0jqRm09rzSW9M0iJcTKuTzrRVomstTCp+e2d16k55X4jKPOfW1DJhCnL6ZEeS8/MOPy6QeukKCyaHuhJ8CL4tqYV/IoBmTw5N7TOg8ev8+ScbTxxfqfAxutkUFWFLzaEb2cDmLXhIPcPb4OnZuOgqhIpZWDz9N9AKpJjHo27Z6wPVCYsimBMrzRuG9YaNeI3HeEPiKIIQPzmqk5SCvYUVAYFy/X5auMRbhvWhkSrCFsNFIKg+xxScOWALP4TopMKYFyfdPLLqsl0237W52EYBh6fzjldWrB2X1EgWAZ4aOYmnhvXg5e+28kPOXnEOi0cKW3afmlvYSU+3Qh0unn9OoqUXDMoi9Q4Jz5N55stR/l83aFAAtym1owcKQJFUaj06VTVaGA4JPx5ZHtW5hZSXOljzb5iRnVP5cahrXhj8W58NUGUEDC2dzqX9UlvpLNSZcB/FuxkZOfmQcFyfTYfKuVIqYeMKGsgCNQ1nWSHylsTe1Pl16n2acS5rETZVLwVnkDAJ2v+abg/MjSdRKvkpXHd8egG1X4dqyJ5fn4Ory7cFTL5bqspZgR/R6YAaLNoe/D+ZLWpTv3WVX1wqxLjJ64HUlWYtmxvyJlsMMfQbh7WismLdvNOPQ/v5+bn0D09hpfH98SqaY1+y5oi+WDVgaDf7Jp9RXywYh/Pj+1O//QYRL03L6VgV1FVULBcS16Zh+vfW8M7V/TG+gvsBSL8/xIJmCOERSqSMs3g+bk7+HLjEXy6zpDWiWZV0K4EXSR+KjYBo7qn8PHq0MHQlCt688r3u3h/xb7AbU/O3c4dp7emb1YCT13cDU030HSDmesOMnvDYTTdYPKiPYzvm4Fd1xmQFcesmwbynwU5bDhQSpzLwlUDszi1bVKgSvhz8RgwI8y5A2w9XEa1pmMJ0Vpm+HVsQKqj5s9P0/FpYAfuOLUlN57SEh0zOaEokt0FFY2y8oYBby3J5ZI+6dw7Y32QAJoQ8NjoLrhsKm2bu4OEtKSAu0a05VBxFWv2FXHraa2575PGbd02VdK/ZULY9vFjZR6+2XyUUV1bUGaYgabDInEKs+3upe920r9lIqoUQQF3Q56dn8PzY7oy9/YhfL35CMv3FBLvtHJ2lxZsO1LKsTJPky18/Vsm8Ny3OUHBci2LdubTJS2G8X3T6dIsE79Pw/BpGFLgVyTVmoFP03FKiLEpDGvXjPkNKtlr9xezdn8xLRNdXDcoC4y6NsWyan8gCRDnsoZNPAB8tyMPH4QcMfg5KE0oOQJYpMQwzL/hKmDhrkLWHyghK8HJiA7NscufPz/9k8+1RiG2wqeTX+7hjtPb8sHyfXy3/Rg+zWDaiv2UVPp48OyfVq2KEOF3jSLxGLDxYCll1T66pcUSbVOw6KE1MP7fT0+VIcWN6vPt1qNc3is1KAknhMAnBZV+nWMlHuJdVtxWxWxZ9WuM65vBpkOljbqGRnRsTq/MeB76fDOvje/5s/RF/H6dc7u2wG/AHdODu30OlVRzw3uruWJgFree1hqXTTmuBVBWoqvG1tB8YKzLyrYjZXywYj8bD5bgsCiM6p7Cu9f05d4Z6+mVGcfFvdOZseogWw+XkhZrZ3z/TDTd4EipB7ddJS3WweybBzHlx1xmbzzMiwty+MtZ7Zl/11C2HSnDp+l0ahGNQxHIBkGjxaLw5eajtEt2s3x3YZPnvmhnPhP6piN8WqDAUSs+Zq1Z82JcVgBCK6E0RtcNrMKgUofRL/3IKxN68UNOXtjP8eJeabgUgd8fvD8pqPDyzxAK3SVVPm58bzWfXD/gJ6+VVZoeSGCHoltaLEt3FwQFy7Ws21/CE19v48GR7YLWRSGgqNofMsFjGHD3jPUsuGso9nq7Sb8QvPx942C5lp3Hyin1+Em0yBN9axF+I0QC5gghEQJKNYPzX/4xKFD7ISefJbt+5INJ/WgTZ//ZLaZS17ljeBtW7y1qNL9zQfcUcvMrgoJlMAU6RnZqwVPfbOe7bcfQDXPG59J+GbxyWU9u+cD0Ndx6pJReyW7QdNJcFh4f1Qmfbr4npxRma/fPOus6DAjb7l2LTzNAPcFhrNrj1qg51uIBEqNsXNQzjbd+zA167JxNR7Cpkhk3DGDe1qPsOFpOZryTc7ul8OmaAzz9zXb+ck4HYhwW1u8vJiHKSu/MeA4WV/Hu0lxKqnxc3j+TB8/twNPf7AhUeO0Wyd/P78yWQ00Lcn2x/hCGYfC3mqC6RYyd+89qT/+MWK4b0pK7Zqxn4oCsJo9RWOHF6zewGzqXdE3mgu4prN1fwkOzNrG/qIrp1/VvVKWoz+kdmjHxzdAWdQDTV+5nbJ90/DXflVQkeR4/93+6iXX12sruOL0N941sz4+78hupgAsBj47qhFOancM+ReGmD9ZyYc80OqVEB6qlx+UX2gT7fBqju6fwdhN+5KO7p+LXdfaXe5kwZUWQSNvjX2/j+bHd6Jseg/iV28J0KdmSV2F2f9QkFBKjrNw8rDW9s+ICirFfbTrCPWe0w/3T/lwiRPhdoimS73fm8/DnW4ISgrXClaEqXf8NtOOcRMOuISkFlQju/HB90Ixvq6QoXr6sB0lWSUGllyFtErlyYBbL95hB34CWCew4WsYtH6zBp+kYP/M6oOsGrZNc5BZVBWZ161NY4eXZb3fw7Lew8J6hqFLQulkUO4+Ftg69cWgrVMNAx2yFXrq7gHtmbAjcX+XT+HDlfhbn5PPqhJ5sP1LGZW8sR9MNrIpkwqU9+GbLUT5Yvo/CCi8Oi8L53VO49bTW3HpKNtcMzAJhYJcCw6/TKzmqxkLTCATpDT/fLYdKQQgc1jBKYPV4bsFOJg1uSdQv5GsM5jX9hW+34/HrvLs0l/tGtg+ppZIa62BMzzT8DSvFisIbi0N3GICpN3KopJqW0bafJFwphcCmhg9CL+mTzitNBLJfbTrCvWe2o77qi6oqvLcoN+xzfJrB0t0FjGidENgL+3QjSPU7FHsKKolNi8VmRITAfk9EUhwRQqJLyTPzdoScNfLrBn+ZuYnKk/g7NwxwGDrvX92X58Z2Y0ibRIa0SeT5sd25+4x2vBTiwvaPCzpz1dsrmb/1WCCjWebxM/mH3czecJhbh7c2z73eeem6gdR0bIaOVdcbX7x/JgrQMyMu7P3RdhXXCSxox8NpkUxfsZ8zOyXTtnljGZGFO/LQdIP8cg+tklyc3yOFsa8t5d2leymo8HL3R+u5d8Z6lu0uYObag1R4/Xyx/iBpcU76ZsUTb1c4v2NzvrljCB/fMICPru/PN3ecwuDWCajHq2Iqkvx6CtuHS6q5ffo6luQWkRZt58mLutCmWSjpkzq6psYgVIFUJD6fjqoZdE+N4cPr+rPoT6eSFutgSOvEsM+3qUqgjS0UhRXeoEC1XIcxry4LBMsApdV+Hp29lVV7C5l18yBOaZtIrbtXt7QYZlw3gDYJTvx+HVWVfLcjj7X7i3lv2V5uPLUVAEUVXtLiQgusAQxrmxSy2+DnYBgGzaOsnNo2KeT9p7RJJNltpdqAiW8FB8tgbnJvm76O8tCda78YiiI4UObhyrdXBlXf88u9PPLFFqJsKkPa1H23mw+V1LSnRojwv4uUgoOlHu7/dFOj7pmluwt5+IstaPK/vzXTNYMLe6Q2+ZjhHZoFrakeIbjqnVWNBLF25ZUzbvIyqpDYLAqPfLGFm95fw+q9hazeW8j1U1fx6GwzedDMbT+p5KLNMEiNcdDU8uWwKChC4MDgtQk9aeZuXM+8Y3gbMusJflUb8MjnoTuuDhZX8f32PL7dcjSQRLjrjLZ8sf4QLy7YGXCiMC0t93PNO6uo1k0HBZtuBBScdd1ocrZV1w3at3CzcMcxzurcosnPoX/LBD5ceYAJby7HE8Ku8ufiNczZZIDvt+ex42gZky/vRe/MOISAKJvKVQOz+PC6/jhovEn06npYkbNa9hZWNumHGwqHhEt6pYW9PzXWwe4mXlfTjUZjYX7DFGZrikMl1Yh6n69FCrISmjYCi7KpXDx5KWU1c+O/J1RVgiJRLMpP/o5+7/z3r8oRfpN4ga83Hgl7/85j5VSfpFCPrhtYNI2hWXH8+4LOPH1BZ07JigXDaNTe2r9lPOv2FXO4JPTF6/P1h+ibFY/DotAxJfoXFztSVYlPSqqlxCslNil44Ox2YR9//dCWOH6Bi0mlT2dhTh63TVvLX8/pyF/P6UDPjFg6pURzw9CWvD+pH6tzC/lw5QGKKn28sWhPo01YUaWPlblFrNtfwpq9RfRIj6O82s/ZXVpQ4dUxNB3VgIJyD3/+dCOnPPU9g/71HWnxTW86zuyczA878hrd/sTX26jWdLKj7WTGO+mWFhPy+YoUjO6RxgUvL6HYp+FXFb7dmc/tM9Zzz8cbWLGnCFXCo+d3onl04w1Np5RoYpwWrEr4y1hilJXapLNUFd5ZmtsogKzl4c83E21TeXJ0Z36451R+uOdUXh3fg5YxNmRNFqZKM72hAbYfLWPtvmL+eVEXZq07yJ0j2oY8rk2V3DeyPepxsuVSkXik5IhH41CVH4+UiDAZc1XT+ecFnbnz9DbEOc3mxTinhTtPb8OTF3bBBmw6VBpWXEc34KPV+1EtJ5/UCYcHwWNfbcUwoF1zN38+qz1PX9yNe85oR1aCk5e/38n4fhmBxzssym+iqhYhwq+JTwiem5cT9v55W48GPN3/m2iaTvvm7pCJWoBBrRNIdFoCf7O1YoThqrVFlT6+35GH26rQMyOWco+fZbsLWba7kIp6gcpVg7JOau3UdQOHAqe1bxb2MRf3SsMuzUpunCr57MYBvHpZTy7rl87tw9sw/85TGNczJWAppSiSI2WesPOxYNplDalJYtotki6pMWGtk7YdKWPz4VKUJtau2tf1SUmpAfk+nTLNYESH5hRWeCmp8oV9j1cNymLhjjy8ms7+wiq2HS1vMhmp1Ah8niiWeuf91o+5PPbVVk7v2Jy3ruzDM5d048pBWdg0LWTwb5WS7ERXk8fPjHf+5D2c368zomNzWiWFPnas00KL6KZdOewN2qRVYdA7M3xhBKBHemxQlVg1DG6qSaSHonWzKI6VVXOgqIp/zd2O/htIjp0IUhF4FYUvtuZx78zNPPTVNnaVePAf5zf8v0SkJTtCaAyC5mJDYbZrnXxQ6PfrgcyNX0p8hkGs00JxPRXt3lnxfB8iOKvPhoMl3DWiDbZfOOmlKZK1B0t56psd5Bwrx26RjOmZxg1DW/HWlb25e8aGQAbZpkquP6UlF3VPbSTW8VMRiuRomQeHRWHnsXImvrmCIW0SuWpQNjZVsuFACWMnL+WzGwfx72934LAoYT2Qaymt8jOqewuyEl28/P0u7h/ZDqdNYfXBUm54b03gcbphirpcNSibKYv3NDpO2+ZRZCU4A9YN9TlW5qHCp2FVBDYheOnSHtz4wdqgWeoom8qj53dixur9ZCe6kFIy9vXl7Kun6r1kVwHZiS6mTerHpzcMZOGOPL7YeBirIhnZOZnEKCsfrz7AOV1bBHyWGzJpcDYOIdConXEKb6Pl0wz2FFTSNtaGUvvT14KV1DWMIO/vKYv3MKh1Apf3zyItzs5bV/ZpZCv18LmdiLfKJjcAmiJZnFvEI7O3BH73DovCLae15qJuLYK8QGtR/BqX90rloh6pdf6o0pwTlBYlcA7h2H6k/LgtlyeD34ANB0p4ckxXdMNg+or9HCyuomWii7tGtCWv3IPLai5BNlXSLtmN3tA+JUKE/zH8BmwOoblQi2FAXrmXTNfPmeL9ZbEZOm9d0Ydn5u3g8/WH8GkGDovCuD7pXD8kG7WeFoiiSJbtLmjyeN9tP8bI9kk8NaYrYycvI788eHq2b1Yco7q2QPNrWGoqWJqm/+TRL6kZPHhORzYdLG0kzNkqycX1p7QMiErVzvX2TY1mQEYsYJj+vzXXa0NK9pV7KShvetLXFAQzNx+dUmJYmdv0jPFHqw/QdVRHhJAoemMhValIjlT5ufvj9QHRT6siefi8Dky+vDe3TV/DU2O6M6BVAtNX7ONwSTWtkqKYNDibkmofD3++OXCsb7cepXdqGzStLuAXQlBS7Sev3MvmQyXEu6y0axaFTYRuB6/FIWF0jxSmLM4N3La3oDIwk5wUZeOzGweEf+OaxqTB2WG1TZpH20iJsWP8jLXApuu8e3Vfpi7bywfL91Fa7adLagz3ntGW1Ggbk4Zk82g9e8r6DGqVgL3evDqAr0ZA7rn5OY1GtWrPtVVSFIYAYZhjFLpukBXn4NbTWvNCg9nnZm4bj43uzH2fmG39czcf5c8j25+Q7/h/E0UR5Ht1Lpm8JGhfPnvDYUZ2Subhczv8IUQ7IwFzhJAoQP/seJbtCX3RT4qy4bQojf0BT+Y1FcneMi+vL9rN2N7pvPZDnU+zrpsBQVO4bSqnt0vC8P6CvaaK5KstR4MustU+nfeW7+P7HXl8dF1/vrhpIEVVPnyaQZLbil3wkxUeQ+EBnpuXw3ndUth8qIR7zmhHp5Rovtp0hKIKL13SYnjzij5E2xXeubIPby7JpWdGXCMxlfoMap2ATzN4ccFO1u4v5s8j21Gpw2NfNV5E3vxxD4+N7szfz+/EG4v3sLegkiibytg+aYzomMxtDSyU6iNrvivDMHAIeOWyHuQWVrH9SClxTiuJUTbe/HEPXr/OA+d05OlvdwQFy7Xsya/gmXk7+NPwNpzVLpFT2yUxc90h3lmSy7YjZTitClOu6MOuvPJGwfuIDs0Y3S0loPYpMMWwmsJynJZgmxT0zorji/V1lYMfdxbw405zo9g5NZo3ruiNrpmtVlYhsNK0qryiSLbmVXBnA0X3Kp/GU3O347IqjOrYDC3EplGrEZADwDBqhb8xDIO+2fH0yoxj08GSkMJprZNcKELwa3VmC+DPZ7dn6a6CoIRGXpmH5XsKmTQkmwEtEwD4y1ntsf+xursi/EERQILLGkiyhiLa/tvYmum6gU1o3D+iDXcMb4PHr2NXJQ4p0BtogRg1ie6miHFYkECcKph10yC+3XqUuVuOYlcVLu+fQYfmbhTDoALB7DUH2VdQSa/MOAa1TsSBgX6C856GYeBWBJ/U6Ht8vuEwqhRc3CuNga0SsOl6o2ZhTWs8T6ooktwyDxe/towPJvXDooiwI0CntU9ibY2iuCC87kYtumHw6bpDrN5bxHVDWpIZ50DTDby6YVZ7Dbhk8rKgjiivpvPAzM389ez2fHnrEL7ZfBSPX+OfF3Yh3mVjX2EFbyzaw4+7ghMXMQ5L0PkIIdCtKq8v2s3CHXmB5KrTqvDsJd3okRIdVhRS9+tcOSCLWesONUp4APx9dKdGVlj1MQxIqrHSfGR2cIt7rNPC21f2wSmMn2X5qesGVl3j2v4ZXN43A4RAGIYpOOfxc3anZBbuyGdhg+JLWpyDJy7ogqobjaYBHALeu6Yfk95dFRQspsU5eOHSHjwxZxs2RTJpcDYJDtNmStF0LuuVxqhuKXy4aj+lVX66p8eQFufkwVmbAjPOmm78JN/x/xbVCG6Ztjbo/dcyZ/MRRnZuztCsuF/ENvO3jDB+ylT9HxBdNygoaLpS87+IlIIDFT4ueGVJSAXEJy/qwumtE4OsB2JizBnOkpLwasFN4ZOS6z9Yy9bDpbx1VR+em5fD6ppZqO7psZzfPSWsarMU8P3dp+Iw6v5gpSqp0qHco6FIcFoUU7jpJ/xRexTJ8Gd+CKvU/OA5HbiwS3P8IbKPJ4MQsLfcx0WvLuWdq/qQX+4NzM3Wx21TmXZdf1JdKpUa+Aw4/6Ufg6qgtbRpFsW/LurCha8sBcyZno+u7Ue1pjP8mR/CnkvvzDgev6ALR0qr8fh1/JrO3M1HwmaIMxOcfHB1X6y6HhDs8kjJJZOX4bKplHv8HC6pRgqYft0AfJrOlW+tCLsRsamSeXeegl3XURTJ4So/Y+ttJGKdFh4Z1Ykom8rinHysquTcri1IdFhQ663aikVh2pqDPPXNDrITXfTOigMDlu4u4EBRFVE2lTm3DcbWRBJICMj3GZzzwuJGgjcA53ZtwYNnd0D6TjwM9UnJte+vCSseluCyMuumgU2eV/3z80lJYaWPH3bm4/Xr9M1OYEVuIf+ZnxM4ZyFg3h2nEP0Tuql+8t+3KskprGL868vDPmTO7UMoqPDQKt4Zsooe4b/HyV7PI4RGVRW+ycnnvhBCSQDZiS7eu6oP1v/nbotf4vuuFIJhTy8Mq5r82Y0DSXdZAmJOqirx6maCVcHAByzcVcB9n24MCvCibCrvX9OX1Cgrxk+8TqiqpFo3EELgUCRVfh3dAJsijtsF5pOSG6etZf2BEq4YmAXAOyHEFp1Wha9uG8Jlry/jYEk1TqvC5Mt7M2FK+Gvf8+O6kxxt59ZpazlW5uGawdn0y47n+vdWc17XFJLctpDdXWBev7+7ayixFomiCEp8Ogdr2uHtFoWUWAfTV+5jVs0aPee2IQH7L10KqhHM3nCYIyWmp3B6vJMn52xn48ESpICvbxtCgiW8XZiUggoEL363k1nrDuHx6/RIj+XPZ7UnM8aOTRFg/s+s1odAk5Iq3eCLDYc4VFxNv+x4+mbFYYcTToz8VHQpOVrp42BxFXM2m3alg1ol0j09hmS3DcIUW4QiqQb25FdysLiK1DgHpVV+nvl2B7vy6uKDx0d3ZnibBGTNH4BXSp6en4PXr5NztJztR4PtQVvE2JlxXf8TWtt/CX7u33ixBiOeC79H7Ngimjcm9MTyO+8QS0iIanI04beRxozwm0PXDVq4LEy9ui8PzKzLiCVGWbn3zHac0irhpHyMQ+HVjUDb7s0frOHx0V2YOCCTuZuP4NMMBrZKpFVSVNAFqpZrBmdjk4BWa6UjOFxSTVm1H5sq+WTNAVblFvGvi7rQOs7eZMtRLUIIcvMrm7Q1+njNAUZ2aBakbP1L4atZNJ6cu52/nN2B92Y0tkMo8/i55p2Vpg2DruNQJR9e158b318TJKzRKzOO+89qz03v11WF/3ZeR5wSvHrT6c3V+4o4UlodUKPukhrDc2O7M2/rsUbzwELA82O7gxAcrtbw+DSSY+xYpSA70RWU+R7athkLd+TRLzseh1XBqhlBs2y1mEG6mYXVarwkv75tMJ+tO8TCHXm4bSrRdgsdmkfRJzUawwCfz9+opUvzaVzYI5VOqTEUVHhZnJNPl9QYrh6cjSIFFR4/TkXQ1FptGJBgU3hjYm/u+mgdRTUZVyHgjI7NGdcnnZcX7uSGU1qZ1mUnkI7UoEml7YIKL1U+HdsJjBv7FIW7P97AkqAKQw4X907jqTFdueuj9QgBT13UlSi1nvH0r4BNkXx5HL/o77fnMb5nSsAvOkKE/3X8fo1T2iQyqHVCoDOlliibyouX9sAh+FkVtv82diG4b2R7nghhGXRhjxSS3cEBb/1xLA3TmeNPIWwONd3g0S+38uKl3VF/4gfj95v2jj4hWH6ghLeX5FJW7Wdw6wTG9ckwFaTDXPR9hsH6ms6lqUtzeeaS7rhObcXUpXV+v11SY/jXhV2IVmHKlX24fMoK8so9bD9ayhkdm/PNlsZjQK2SonDbLTw4axP/ubQHV761gimL93Bmp2SmX9ufnGPljZLj9TEMU0Ojdws31Ybkyblmy3wtdovkrhHtyIh3UljuJcamYOg6hiL5cU8h93y8IejSH+e08MKlPXni661sPlTK5EW7uX9EG9MWoh5SVajSDco8fqyK5I7T2nD3iLb4/DqKAKsUlPsNPll7iC2HS2nTLIrzu6XglDSyIVV0nShgYt8M/EBptQ+vZlbXrVKc8AyzWlMY8eqGqZQtzTnihs9XVcnqw+VMencVydF2hrRNxGVVmb5yHw/OKuVPZ7ZjbM9UDJ+/0bptaGYnV8cEBxkJTi58eQkFITpEHpi1iUF3D6VW8supQK+MOB6YuSnkud8xvA0u2ehj/k0hBJRUNT2OcKS0Gv0P4CsdCZgjhEXoBh0Tnbx/dd+arKyBy6qYM6G/wrxC/etbaZWfW6atJSPeyZA2iShS8PhXW5hyRW/e/HEPM1YdoMqnkRrr4JZhrRjWNgnp19CkZNGeQh6ZvTVQZXVaFf58Vnsu7JHKVxsPc+WALGIUcVzLAiHAd5yMWVMKzSeDYUBarAOrIjmlTRKvL9od9rFHSz0cLfOQGWVB8+s0sym8d1UfSj1+Ciu8NIu2k3O0jJs/WMOxUg+dUqJ54OwOtIpz4Pfr2KVs0h5paJukQKV/aNskbj+9DVLAl7cOZkVuIU/O3U5emYdemXE8cUFn9uRXcvU7qwIthxZFcFm/TP5xQWdOf+aHQJWzTfMomrmtpNa0Q1kUid2i8P7yvczdXLfJSIqyma3SNc/TNR07MKFnChd3b4EiBaphoPk1moq7FEWgWMw5uyU7C3jgnA58s+UoE95YTmm1j14ZcdxzRjvSY2zIpqJmTadrMydf3DKYHUfLKKrykRbrYPmeQq6buppKr8amQ6W8MLY7lhPIlEthzqZ5m3is2Sp+nN+aKnl+wc4GwbLJjFUH6JwSw1NjutAnMx6HFAEhs18L3TBCdjrUp6jS+5OsQyJE+F/Aomk8dWEXth0t5+0lphDh0LZJXNgjFWdNYvD3iNR1zu+STPf0WF5YkEPOsXJSYhxcf0pLuqXGoGrh9w2KRWHqkuB1LtquctcZ7WidFMXWI6Ws2VdMt7RYbBg0mdlsgE9R+NOnG1mUkx+4bePBEt5espcPJvUj021pUp0azOXnzo/WcV7XFF4Y3wMpBKoiSI914BIGmk8nwWnhuXHdySvzsK+wgrvPaEe7ZDfvLMmltNoMMs/qksz4fhncPm0dR0qr+WztQc7vnsqHK/fz0ar9NHfbOK9bCp+sbtoD22FRMKTkxe93BQXLYI6NPf7VVt69ui8dmkWBz296Cns17v54Q51Qm4Bh7ZvRLS2WTYdKePDcjoybvIz1B0rwakZQIUBTFd5bdYDXF+0OqEm3SnLx1JiupEdZwRCsP1zGdVNXB+nfPD8/h/+M60HftOigoFkI83t57MutfLHhcGBf0D09ln+P6Uq8RRz/O1Eka4+U89hX29iVV44QMKRNIo+d3xlVMYNuhyrRfBqVBgEbwyOl1cxo4DH+6g+76JMdT0qMHZumh1yXVFXh/cW5IYNlMPdt3249xpguyfh8Gn6fzvC2SRw9rTWvLtwdWOOtiuTmYa0YWs+O6reKYZjWpk3RtlkUqjiBPcrvnEhL9nH4o7Zk/xxOtqXLKyUT317JrrzQ0v9d02IY2yedHumxRNtUNMNArRE6qrX8WX+0givfXhl4TnK0nccv7MKRkmoW7jiGEIJzurSgV0Ys1jAXxfpUScmwpxeGbL8FuGVYK67um/GrJBAMRfLm8n0kum0cKKzEqiqUVvn4ZsvRRvNvL13ag/5pjdXBhRAIAX4h8BpmEGMRwpzpqacAuq/cy8WvLW2UAHBYFN68sg93fLiWO05vS1m1jymL93C01IMiBSM6NOf+s9pjVwUCOFLmYfTLS0JWVq87JZvBrRK55t1VaLrB9Ov689XGI7y/fG/gdaPtKnef0Y7DJVW8utDcPP31nA5c2Dn5Z3/GQgi8UrCnoJLP1h1CCsGFPVMpqvBy78cbGlXJX7i0OwPTY5tsC5NSsKWgipveX4PdolBY6W30G/n0hgFkuq3Hz5Srkn9+m8Mna0ILl/VIj+XlS7ujHmeDWC3N8YFwgXd6vIOPru3/s8U5Gv59C9F00klVJd/vKWo0m12f967uS4cExy+uah/h5Im0ZP/6KIrEj9nwZJOE1Cn4/+KX/L6lFPiEwF+jPWI7gSSArkju/GRjIOEXZVOZPLEXLyzYydJ6SUCbKvnbeR05rU1i04nNGlRVsmBXIXd/vCHk/WlxDj6c1C9kC7xPSm6evo619WwI69MpJZo3LuuJqutIVWHh7kJ+3JVPlU/naGk1JVU+nhvbnWNl1ag1+hnztx3jk9UHAuuO3SJ55bJeXPX2Sk5r34yMeCdxLgttmrm56f01IV/XYVH49s4hGAZNXvN7ZsTx0thuqLqOoir8+7tdfLBiH2DqbTx0bicW7sjjx53mKNPFvdJoHm3n/eV7eeScDnVjMorkrRX7eTmE3adVkXx122Bsavj1Rwr47u6hOOutF34puefTjY3mrcEcQ/r85kFYm0qwqAqLcou4/cN1gdvS4hz888KurD9QzDebj+DXDc7uksxFPdMoq/Yz4tnwbcUA717dlyfnbGPyhF5YQry2xaryYE2AH45Jg7O5dUg23nrt3YYi8RoEbK1aJrmwQtg58V+Ln/s3rimSez/dxKKd+SHvnzapH23j7L/7dfx4Ldl/HD3wCL95nBIePLdjyPuEgFuGtebtH3NZsqsAlxQ4DaPGW7nG8keHf86pawVz21Sev7Q7j325hb98tpG5m48yZ9MRbp22lhveW4PvBOTwbQKuGJAZ8r5oh8olvdN/lprjiSA0nasHZnJq22Y4LCpbD5eaQlBjuvLns9oHWT5lxDtDBi9GTWuS1HScGEQrAhtG0OZF03RSXVZm3TSIoTUexIoUjOyUzKc3DcSuSl4a35N9BRU8/tU2jpaaStyabjBn8xEufm0pfh0M3eDfc7eHbUN+Z8leshNdLLhrKNOv68+inHzeXpIbFKSXVvt5+PPNdEmNpVUzF5f1y+DckwiWAbyK5Nr31nDZlBV8vPoAH63az7jJy3h7SS4vX9azkd/0AzM3UXW8GFdVmLX+IGUeP3nlnqBg2WFRGNsnnQqvhk9K07ew0fNNe7IyQ1ChGdx2WhuSQmRxnVaFx0Z3xnoCec0qr9ZklXp/YVXYxM9PQVPM895eVMUxr45XypCWJX6/Tt+suJDvCyArwUnLRNfvfpGNEOHnomk6QtNRdf2/Giz/0ui6gaLp2AzDfG8nEBhYpKBNszoLq2sGZ/POktygYBnMEZ0/f7aJ/SXVJ2SFVKkbTPkxN+z9B4qqKK4O3ZpkFwYPn9ex0RoBZhD4t/M6YhPmbGyJX2fbkTJ8mkGnlGj+NLIdzaNtFFZ4ufrtVUx8cwUT31zBO0uCrQ2rfXXq2p1To9mdV85naw6SneiiQwt3yPN66NwO2DAo9/ibvOZvPFgcaO33GgY5x8wZ2rQ4B389pyPXT13FS9/tZN3+YlbsKeTejzfwxNdbuf+s9tgU00azzBBUQ9h5aq+m89WmIwEbq1DoBny+/jBWqzlXJAQUe/whg2Uwx5C+3Xo05NpZS5Vh8PcvTU2bji2iOa1dM14c34MHZm7kqbnbWX+ghM2HSnlq7g42HyrlSEk1tiaOB6Aqgk2HSjlYUhXyt2XoRkCoMhx9suIa/d6FpmPTdTomOOmY4MRW83f/e0HVDf55YRc6pUQH3S4F3D+yHdnxf4ykd6QlO8JvBr9fp2OzKF4a34Mn525nb83cdKskF3eOaMv8bcfIOVZOWqwDw2h8sfEbBtuO1IkqXNInnalL94asWG84WMJbS/Zy/cAM9AYbFVEzE1Pp1XAIgysHZmO3KLy3bC+lNQtr3+x47jy9Lf+as40HRrbH8jNbUVRVUmWAjtn64lIlhl8zg1wp2FVQxeVvrgiao5617hBXDszilct6cuu0daTHO4l3WTHCZGMVRVCFYH9RFbuOVZCR4KBloitYXEPXaW5XeHJ0F7zA0dJq5m89xoQ3llNQ4eXjGwbwRpgFM6/Mw6z1BxndLZWVNa3bofD4dcqq/SRZJSkxDt4MczyANxbtZsrE3tgViXIy1XtF8tz8nJDt5sv3FNI1LZ8zOyUH+WWWVvkDLe7141RFERhSoukGUoISQnH71HZJ3HRqaz5efYAHZ23CaVUZ3zed09o3M5VZdQNdkWw8VsEjs7cG5vHP7tycGTcMYPrKfcxcewi/rnN6h+bccEpLohTQT6D1325RAiJroYh3WU9ajLOg0sddH29kaT37mPR4B6+M70kLp6VRVd4BTL+uHzd/sDbob7NnRhzPj+2GzWisVhshQoQ/HppP47J+Gby7bC+GAYNaJ/KfBeH9qp+dl8PTF3VBaWLtldIUriqoOI7dYrWP5jZbo2unphmkRFn4+IYBPPLFlkCluWtaDA+f25F0tw2fAd/syOPBWXU2Tqw3k50vju+J3SKJtquBvUNDkqJslHv8OK0Kg1on8uKCncS7rOw6Vs6D53Zkya4CPly5n+JKL11SY7n3jLa0jHeApmM9TgAY66xrqrYIQWa8k5W5RVw5MIsn52wPaHDUZ+vhMj5dc5CkKCuPfWUWIF4a37NJLZd9hZUUVjQW2chOdOG0KuwvqiTnWLkZKWN2VqzKbRwsWxWJ265SVu1n7pajnNWhWdiqXrlHo2dGHFcPzmbr4VLyyz3sL6zikVGd+Pc329l00FzzVSlQpeDrTUc4r1sKH4dpde+dGRd4zrytx7hpUGYjwTK/X+OUtom4bWpIT+7EKCudU6LDJoh+rw29hmFg03Ven9CTY+Velu8pJMZhYWDLBGySE+r0+F8gEjBH+E0hNY0OLaK58/S25gZfwLFSD68t3M3GgyW4rAqdU0NfkKQwL4y18zPD2jXjqrdXhH2tD1bsY2L/DOrXvzRV4bVFe/hgxT48fp0rB2ZRUO5BCMHz43qY87KKYMOBEu6ZsZ6DxVXcOLQVyXblhASe6qOpCov3FPLS97vYV1BJRoKTKwdmMbh1Ig5F4AGunbo65EL19pJcTmvfjI9vHIAqBV5NwxYiWFIUQZ5H54q3Vgb5UcY5Lbx1ZR/SoyyBYEzXDTTF4Pbp61hTY48BkOS2sbewssl57c/XHWZU1xSibCrVvvACEbULfIXHH1Lgq5a1+4tR5UkGy0C1ATPXhlbzBvho1X7+fXHXoIAZoNqnAaZFiqk8rbA1v5z3lu2j2qcxslMyNw5txdp9RQFLjo4torm8fyaXT1ke9J39ddZm2i3bx9tX9sYuDTYcq+CKt1YGvd5Xm47y3fZ8Zt8yiAl9MwCjxhNSxzjBj8AmYVjbJBZsD+1XfuXALBzyJ43+BVFc7ee6qauD/LTBrFyPe305X982uJGfpKbpxCqCNy/vRYVPp7DCQ6LbhlORx7XbihAhwh+LGKvCkxd15aHPN1Fc6W1yTd18uBS/YVpg1kdRzCR0cbWP/DIvWYlOuqTGcLQ0vN1icrQ9bDAjNIOMKAsvX9odr25gGKa4lV2ArusU+IzgYLmGSq/GHR+u5e0r+zK2T0ZYHZIJAzKZu+kwL47vyX/m56Ab0Cszng0HS0w9j9uHMK5XGgKzJdQmzA4xIcCuSDq0cAd8mhsysX8mzpprvqFpXDUom4/XHKRTSgz/+DK0HzHA1GV7eeLCLnj8OqoUjewWM+Kd9G+ZgBCwKreQogovfbObB+4/p0sLJvTPZE9+OcWVPtq3iCbGoaJJEUjqOqx131xmgpNbhrUmOcZOfrmXZm4blV6/OYccZv2zqpKzu7TgigYFhcQoK8+P68HjX5kCZooUeDWdmesO8vZVfVm6q4CDxcEtydF2lb+N6sQN760GzGRHuN+eA5h2XX+uensleWV1iZi0OAdvXdEbBz/PEuu3jmEYWDSDNKeFrG4tMAzD7O78X3yzYYgEzBF+UxgGOBXBwaJK7qg3mwJm9vH1y3thN0JLC1gFnN0lmc9rPHJ1w2gyyCv3+NHqXRU1RfL3r7by5cYjgdtSYh0s213AtiNljYQ1atlbUEmLtOiflD3UFMnT83KYUS/bufNYOX+duYlR3VK4alAW5R5/k6JJ7y/fS2a8k97Z8eTmlXNRtxQMX/DVqwrJ+DeWNhKpKKr0Mf6N5Xxz+xBTQIWaNqkqf1Cw/FOwKYJxfdJ58bvGc042VTKhfwaqIvFLgfU4dcUom4o4SQEJTZoWIk21rCW4rKTHOTm7SzJLdhVQXOlDlcJsca9ptfeqCnd+uJ7l9TzJf8jJJ8ltY/Llvbjp/TUcLqlm0pBs/j57S8gEx/ajZcxcd4iLeoa3Rqvyadz36UZevKQbim5g/MRgUtENHhnViR1vLOdAUfCGoG9WHJf0TD2JOXA4WuZpFCzXUu7x88WGw1zaPQV/g9fQdQMLBrEKxMXUVHFC+KBGiBDhj43UdE7JjmfObUMoCVORrSXBZcUQ5siNTQjQNIQUHPNoXP/e6kCHWlKUjWfHdmP+tmMhg6Dh7ZNwKKJJ5wxNM1Ax6jbMuhkUKRaFdxc1Xu9qKa3yszu/nKFtEzlYXMVXDRKzF/dO46xOyext4eaF+Tms3V+MIgVXDMzkzcV7mHH9AHO/U2/sSwNQJPkejRmrcmtaq1c30uLo0MLNmHrXfMOABLvKX8/pEHDgCEdxpQ+nxQxo/bqBVzNIcFnRDIPHRnfBr+vM33oM3TC46dTWtG0eRYLLitOqMKZXGm2bu7nyreBAtnNqNE9e1JV4h4ri1+mbFY8U0KaZm0fP78SDszYFks9gzoe/dGkPopVg8S8hTLVu/Dr3zFgfJDAGkF/u5fbpa3lyTDeufnslHr+O227Brxn86eP1PHNJN37IyWfOpiP4dZ2hbZO4pHc6K/YUcLjELCoM79CcQq+GU5EoDUbudE2nhUNh5g0DOFhSzf6iKrISnCS7baa6/f94tdUwDHy+P1CUXI9IwBzhN4ei6VzULYXh7Zvx3op9HCyqpnt6DKO7p+CSIqwPo9R17h7RjsU7CyisMNV3nVYloOjYkKQoG0q9HtYKnx4ULAMUVXhJjrEHtZM2JDkmfHY6FEJAUbU/KFiuz+frD3HFgMzAxTscR0s9dEqJ4U8fb+CVy3rh1YygP2hFkWw8WBJW0bHSqzF/2zHO79Qcn09DUSTrDxQ2elxemYe0WAcWRYRNQIzunoIKjO+bwewNhwM2ZAADWiVw94i2zNl0hOunrsZhVXhkVKcmlbkv6Z2GXYifHVRpqsKjX21lXJ8MbKpsFMSmxjp45PxOlFT6eGPxbuKcVp65pDv7CyvZk1+BrSahLqwWPlm9PyhYriWvzMNjX27l3xd34+YP1pAcYw963w2ZumwvZ3VpERD+CMWqvUV4DTOL3RAhRGCmK9SCZRgGTgEfXtuf1fuK+Hz9IayKZFzfDLITneiGgU2VP0uVU1Eka/aGnjerZVFOPhd1bdGkMMbvtCMtQoQI/09IXccJWJ1WWiW5woqAjuubwX2fbGDtvhLO69aCm09tjV1Kxr2+hOJ6rcZ55R7mbzvGP0Z35h+zt1JV79o5oGU8fz+/M6qm/az0rE83guwbQ3GgqIrdeeX89ez23HV6G5bsKkAKGNg6kf2FlVzx1orAWt/MbeOpMd3IjHPw93M71nThNLB2UgQb8yq45h1TPHPjoVLeuqoPX288zJJdBTgsCuP7ZTCoZQIWLdjsR9F1zuvYnGoIuS7W0qGFm/31kq7vLMnlL2e3p0Wsg399vS1gtQUwe8Nh2jV389aVvZk2qS+lHo2Jb65odK3fdLCUB2dt5plLuhElBTbgztPb0j0jlls+WEteeXDb/OZDpVw2ZQUfXdcfa00ZU1MkBVV+Vu3I53BJdaNguZb8ci/FlV7S4x3sL6xicU4+L13WA5uqUO3TyIx3MGlwFpoBR0qqcVgkHVrE8PrE3iRF2Sgo93DR1NUMaZPI30d1aiSUqWsGVgxaRttoHWuKXRm6/kcqtv4hiQTMEX6TKLpOolVyz6mt8Bum0qbfp2E0kQU2DHArBrNuGsi7y/aycEceF/dK452lof0MrzslG5cU+HUzIFi3t3FQ9Pn6Q/zl7A58H6bNtZnbRrLb9pOEvywWlZkrcpt8zLdbjzG8fbMmH9OmeZQpWFLpo9zjw6o4qH8aiiJYsz/8TDHAyr1FnN/ZbKUyDIi2m23ImQlOJvTPpH2yG8Mwq5/3nNEu4K+pSrOafFaXFkTZFBJcNjQhsEvBM2O7s2DbMWavP0RyjJ07/o+98wyMqsrb+O+ce6em95AeQqih9w4CIvZeUKxg72XVXd2i7q6vu2tZO3ZExV5RURER6b23BAgQ0knPJDNz730/TDJkmJkEEOvO7xPMvdMn95x/e54JuVz68gqfxMXt76zjgTPymP7aKp8NDHham64ame1p3VIkJun57o8UqSq8uLSQzzeWEGM3c0a/VN5Ztc97PC7MzGMX9OMP7633CXDfWL6XKXnJ/PnUngiXG1WVFDc08+byvUGfa1VhFSlRVj69cRTVje17FdY2uVtHuNrlcHcGITwK8uX1ThburMBmkpzQLZEwkzykYtqCrhuY0RidFUteaiSfbyzhvo82sfdgI5lxdu4/pQd5SRF+WfOOMAyItpvaPSfSpqJIQQB5gRAhQoQ4KiwY/PfC/lwwc5lf9XRodiyd48P4e4FnzX5n1X7mbS7lnWuGoQfIyr2yeA9T8pKZe/Mo9lQ0UOtw0TMlkgizgknTjjmRZ5KCrokRAa38WumXHk3PpHCESyNKwmk9EgCPZkuPhDDeuXoYJbVN2M0K0VaTp9W75boe6FLahOCdlft4amp/wsyea+6OkjqSI608dGYesWFmbCYJuoHJJKl36RgIzBKkbiB1nTBVMnVIBq8s2RPwNV87Noe4MDMf3zACIQSNzRqJkRbeXL7XJ1huZXtpHY99s5O7J3flhc+2Bv08VxdWUdXoIizSjHRqXDQojUUFlX7BcitF1Q62l9bRLykMpyGYs7qIx+fv5KpR2RSUte9ek19WT2q0jf7pMQzJjuX5hQUsLqhElYIJPZK4clQWKwoqGd89kRmzVnsT2aoUnNY3heenDeTa2av599c7uHtibkCRLsMwOrS+CvH7IRQwh/jVYhiHKmntN2cdQtMMrBhcOyIThwZSFew92MiCwwLeM/ulcFrvTj7to4EENIqqHZTXNzN1SIbXjqGVMLPCi5cOwiqMo6qECgF1ze370x5scBJhVcmODwuYwZYCzu6fxvTXPLOwDc0a0vB9HYYBqVGBapWHSImyIVqkoDRNp296FKf27sR5g9L477f5/L1lzqlPWhT3TunOq1cM5r4PN/Hn03qyraQOIWD57iqW7TqU2dZ1g4Kyeu6e0p2enSK58tVVflX+gvIGnl6QzwfXj+Ct5XuZv62sxdYilTP6pdLo1Hhq8W72VznonRrFeQPTCFdot22uFYduMHuZJ0ny/pr9vHTZYPLL6ryt5pePzOLJb3cGrAZ/samEsV0TmJwbh0NvEQCrbb/Sv7/awYxZq3jnmuHtVuH7p0dhkoJuSRFsLw3csTAiJw5Tm6BaCHAqCjfNWcvqwmrv7X//fBuXDs/k+jGd/ea8pRQUNzg545nFPq+lsLKR6bNW89wlAxiaGnlUlWZN0xmYGdPu+7t8eBZC13/nTowhQoT4OdA0nWSbyhc3j+K9NUV8v6OcMIvKWf1TsZoUbp2zzuf8GoeLp77N57yB6QEVnb/YVEJuYjhXDc1A01qUu7Ufd73SXBoXD8vgtWV7AgaJcWFmchPCEG0Svm2vu0LTsQLZEeaAoypSCoQQ3jZfIaDJbTA4O5a/frLZ61jxh8ld6dEpijdX7MWtGTS5NKaPzmbLgVpeX7aXGoeTARkxHjcGm4p061wzOpvKBqfPqJlJEdw+qSvRNhP7qhw4nBov/bCbomoHL10+iLdWBE8ef7zuADed0CVo11grO0rrSAyPxwSYBHy/I7BVUSuLdlYwKDWSotpmHp/vEYE72NL5F4xeKZGM757IkOxY4sLN3PDGWvYe9Kz3bt1g3uYSVu05yHvXjeDkJxb5JO3dusGHa4twuDRuGN+FJ77ZyS0TcgN2fYX43yIUMIf4XaK7dY+Ylwv+cUYvqpvcfLejHEUIxndLINys+AQamqbTLz0aRQo/650HPt3MHyZ358PrR/DOqn2U1zUzvHMcJ/ZMwt4mG3ykuN0ak3sm8+byfUHPGdY5Fk3XefmyQVz6ygr2HTzUHmVRJX87oxcfrSvyCmflJob7zc64XBondE/kgblbfd5ThEVlcl4y8eFmLhma4eMXaJOCK0ZlccHzy3zanTbsr+HiF5cz5+phvHftcF5ZspsTeiRx05trKWsjfDF3YzFjuyZw+cgswi0qxTVNXiXow1lSUMmNb67hjauGcPWoLMDjSfne2gM8/OV273mLdlYw8/tdvHDpIPIS7B6PinZwuHTv59Lk0rnujdX85bReXDs2hx/yKxjXLZH/fLUj6P2fW1jA6Jw4DGBPZQNdkyKCtuR7FDglTS6dj9YWcWb/VN5d5d9qLwTccWI37AIeOKMXF72wzO9tmBXJfSf3wNQm8WEokv+bt90nWG5l1tJC+qdHMy47xmcT5hKCf36xNWhg++BnW3nn6qGYAx4NToRF5cEz8rjng41+x6bkJZMVazvqv4UQIUKECIau6YSrkhO6JSCl4MSeSdz81lqP4nIAvtxcwguXDgpqgRQXZvaIWx7H61SUKnn0vL7c8e56n2t6pE1l1pVDsNJxQt0v2JaSZgHbS+qpcbjolRJJpFnBpgqWbS330cEYkBFN77RozKokOz6MwspG8lIjMSmSlXuqvOvvV1tK+XprKc9dPICBKZEobo2/ntaD2yd1Zd2+KqyqQq/UKLYcqKHG4aKkpokn5h9SKTdJ2a5Qp1Pz6IXEh5vbbVOPsZvZUVZH73g7GBAb1n7nUmyYGaTg1TbV8K+3lPLsJQOYs9J3D2VRJf86tw+1TW4e+HQLJbVN5CaGc+/J3ckvq/dZ98d2S+CVxbv9Otxa+XJTCVeMyAKgzuHCZvFXAQ/xv0UoYA7xu0fVdBLMkov6pQAtVesAC6ZFwC0Tcnn0a99gyuMheIAz+3Xi7hO6tChzehQCj2XZ1TSD3ITwoNXj7Pgw4sItxNjMWNF5e/pQCqscLN1VSWyYhe7JEby2ZA9fbPLMW/fsFEmMTQ04220RBv86pzd3vLcBw4Brx3ZmZJd4Pll/gI1FNbyyeA9Th2YQoUiEruPUDB7+Yhtu3WBY51j6pEWj6QbfbS+joLyBv326mWcuHkhipJX/+2KbT7DcysId5YztloDm1slNDuwj2UpxTRNuzcBiGAgB5Q0uHv5yO/3TozmzfyqxYWaKqhy8s2of185ezTe3jcHaQU3AokqkOBRX1zrc3PHOehIiLPRLj6bR2X6/wr4qBwiQBqzYfZDLRmRxb4AgEeDk3p1YsN2jvjp72V6evWQALrfOJ+sPeJ8/0qryj7N60yncjMulkR1l5d1rhvPg3K2sa7EpGdY5lvtP6UmCVfFRjnbonhmxYDz5bT5DrhjsE/y6gR/aaREsqnbgcOmYO7Yh98GqSk7qlUS3pAieWpDPluJaEiMsXD26MwMyov3mvEKECBHix+LQ4Za317GnspH+6dFBg2UAl2Ygg8y9COGx/TtclPDHInSdkZnRfHfHOL7ZVsbegw0MyIhhYEaMJ1g+yuBcVyTL91Zz9/sbfYK5odmxPHp+X57/3ldk7LZJXalrcnPrnHU+ApeqFPzfuX0Q4tAaYhhw1/sb+PymUViAcLNKuFklMjMGXZHkVzby6YZirhqVzV3vbfB5HodLI8ZuCmhFBZ6OO5dmMGN0Z1buWR3wnMQIi8eWseUrcrncnDswrV2f7JN7J+No1jjQRtOlvtnNkvxKbp2Yy+PfHArq/3JaL+ZuLGbe5lLvbeV1zSwp8Jw7bVgmr7d0n/VKiWTOiuBFC4BdFQ0kRVqxmkPBcohQwBzif4S27d3BEJrO+f1TyU0M59Gvd7CzrJ4om4lLh2UydUg6qlvH1ZIKPtIW8WBYDJ3XrxzCPR9s4If8Q8HNyC5x3DW5GwlhFiyGjtaiMJwba0cRgoc+38qG/TUkRli4bWIuw3PiiA/3GGOpquLdDJjNCroBioRhOXG8c/Vw9lU1UlrbxLSXDlltLc6v5JUle/jvhf0ZkhaJy/C0tr01Yxhr91axpKASi0ly3bgcbCaV/3y9jV3lDeSlRPHgZ8FtKV5dvIe7JnfFalJ8rL4Op09alPciJFWFOYsLeXrqAMrqmnhrxV6Ka5rokhjOLRNzKatrZu2+akZlRLdbIbBIj8rl11tKfW4vr2vm6y2l3Doht12/4qw4OxgGViE4pXcnimocXDUqm5cX7/a5z9DsWC4YnM6MWasAT4b9+jfWMGNMZxbcMY49lQ3YzQopUVYs4E1oCF0nO9LCsxf2w2kYiJb5MpPhb7PU6HT7dTy0ZVdFA4HMlQ8bgw54/FiwmxQywk384/SeOHWPtoBNctw3oSFChAgB4HDr3vGZJpdGQrgl6MzrwMwYXEFGTf44pQfW9i78PwKhG9gwODsvydtCrWnaUSfUhRCUN7q45e11fi9z+e6D/PHDjUwdksnDX25rOd8jYDnliUV+bhBu3eDu9zbwxoyhfL6x2CeBXFzTRHbEoTRrM/DcdwW8trSQaLuJyb2S/QTBPlhTxEVDMnjmu8Cq4OcMTOOt5Xu5blwOU/KSvQn9VqwmyT/P7s0zC/J5/IJ+XjGzaIvKlSOzeDlA0HzzCV0IUyQmRdAnNYqlbRLBzy4s4NqxnZl9lef9Nbk10mNsPsFyW/47fydvXT2MN5YXohvgdOvYDwuELaok2m6i1uHG4dKwmxXSYmzYFAlHqfsR4vdHKGAOEaINiqYxLC2SVy8bhCFAGJ42Zc19bCqahyOEQJcCh24gMXji/H7UOd3UNbmxmhTMisQiwWToPsGT4dbIjrbwzEX9Kap2EGEz839fbuXx+TsxDI9I1x8md2NgehRNboPXl+8jv7yey4Zn8Z+vtlNQXs9Llw3m9nfW+70m3YBb317HgjvGokjBg2fmeVQr21SP528tY0BGDA+d0RshCKqu2UppbRNRNjNfbynljH4pvL+mKOB5d07qiqmlZU0zDEbnJjBn5V6+2XrIM3N1YRWrC6u4dmxncuLDkFKgtROfKbrB/af0YMuBWj+/xR6dIogNM3NCtwTmbwss5Hbt2BzMqgK6Tq9OESzfXYkUgjlXD2Ntocf2o2tSuMeDe/Zqn/nsZrfOU9/mc3a/FHrF2QEDI8CcnKbpqLRegA3QAgu82EztZ7aTI61+kbEZGN89kflbA/uOZsXZsarHvgHQW367VgDD4BhEt0OECBHiyGiT3XtrxT6uHtvZq63hc5qAP07pTka0jVcuH8xzCws4UOOgS0I4N4zvQlqkBfkTj4z8WLsdXQr++21+0Jh+4Y4Krh/XxTs6NiAjhkU7y4Oux27dYHF+BSNy4vkh/9CscF2TGxFp8f5/X3VTUHHUVr7ZWsq5Awcwqad/MnpklzgmtIhnXTMmm/tO6cFpfTrxwdoiahwu+qRFM7lXMk8vyGd4TrzXhQJA1XWuHpnFmNwEnl1YwL6DjWTFh3Hj+C50jrWhaDqaDhcMSufFH3b7JJCfW7iL15cWcu6AVO6Y0p2/fRbYshE8+5y1e6vJS41iw/4avt5Sxln9U1m/v4aUKCs3TcglLcZGSU0T8eEWGprdpMTY+MtpPbGK4283rKoSKSW6rh+Tc0WIn59QwBwixGG43bpPi+vxWmOlSaHM4eaZBfms3VdNbJiZK0dmMTQrlnCrAggMQw8aPKEZWAUkRdk47ckfqGujHFpY2cgNb67loTPy+CG/gi83l2AzKVw0JIMVe6qY3CuZj4P4SINnYV24o5zJvZL497ztPsFyK2v2VrFsdyUXDEqnqNrh0/Z8OF0Sw7GoktnLCnnukoE0OjWfjLO9xVoqPcrqbVkzSYlZlT7Bclue/34X5wxI63D+zDAMwiW8e80wFudX8tH6IlQpuXBwGn1TozFrGn87PY+9B1f6tfed3jcFsyqZ9MQi7jmpO+O6xHHlsEwa3DrztpRgNStM7J7ETXPWsn5fYE/ijFg7FkUelXJ6MCxSMCY3nu93BhZGmT46G7vHktKLYhjcM7kbi/MraHL5vgYh4IEz8rBLQoFuiBAhfvXYFElOQjgF5fUs2F7GiC5x3DOlO88tLPDaR6VG23jozF6kRVjA5aZvop0nzu2D2zAwSYFqHFlrtGqSNGgGIFBF4K6fn5Jm3WBTEK/7Vsrqmom0qlQ1ukiMsPh4Fwdib6WDhIhDwbEQ0Dk+zPu+mtw6L/ywy3u8utFFfLjFz3ZK0w1ufHMt90zpznXjcli0o5wml8bQznEUVTm47o01ZMR55pJtGPRNi6auWaOoupEdpfXc+vZarh/XhYndEhCHdSQpmk6fRDtPnNcHt26gSuH57Nt8Z+GKYOa0gVz/xhqf1xVhNTFteBaGZlAbwLvbapLYzSo1Dpe3MAGwbl8Vj13Qlx/yK7h6TA5/+3Szj2BZRqydmdMGkmRXcbczu320CEXSZMC3OyvZVlJHt+RwRuXEY8HoUJ8lxC9LKGAOEeInxpAStxSsLqzmljlrvdfE/VUObn17PaNz43nkrDzUI1jQNZPCM1/v8AmW2/LIV9v474X9+XJzCZ2irF4Pyxi7qUO1531VDnQDVu4JbkX11op9nDsgDU03mNgjia+2BG5/uvmELnRJCOP0fim8+MMuhneO4/IRWRSUe9qUe3aKJNaqYLTJyOuGwftrAntTg6eTbmlBJVN6JdHs1hGAXYqA7cCaZmBCY2KXOMbkxCIEqAbeNjmb1Hnt8sHsOdjIl5tLMCmScd0S2FZSxx3vrMetG9zzwUaevKgfozKiUSRM7Z/qbeW+9YRcrnhtVcDXee+U7p7XdRwCUlU3eOiMPKa+tJz9Vb7V8lFd4jk1L9nPckvXDWJMCh9fP5K/f76VRfkVGIan/f2+k3uQGWUNZbRDhAjxi6EokmYD9JbZEasU6EHGOmwSHjy9Jxe3ePv+fe5WJvdK4tHz+2FSBAnhFiIsKnZheK9rmmagYKAAaB2LbgkBLkXhk40lvLliL063TmZsGLdM7EJGpBV5nNpxpargaFnnbYr0e8+KEMSGm33mdQ8nLcbm7WoqrW2mf0Z0u8+ZGWdnVRvLzJPzkrEqwus44dR0ymp9E+QfryviqlHZfu3XrR1UMy8dSG2Ti9P6pPD2yv28tdKjnn3rhFxPMtatYxEwPieWZiMWt+5JXIQp+KxXQnj2R82GJyBXBYQpIqA+jNB1+iSFMf/2MazZW82Bagd5qVFkx9qxCRCGzviuCV4L0L5pUVwzNgebSaHa4SIlykqYRWXuhgNkx4fx9zN6YRcGfzu9Fxe+sMxHWBVg78FGLpi5jLk3jcTC8UEokp1VDq54daVPMtuiSl6+bBBdY22hoPlXTChgDhHiJ8SQkiV7q4kPN3PvBxsDXgsX7axg44FaBqVEtl89VSW7KhqCVmDBM58kAJtZIdKmejPL+6oaGZIVy+cbS4Let196NA1BAvFWKuqbKTzYyKo9B7lnSnfKW+aKWxECrh+XQ+/UKDYX15IQbiEnPpyBmTHM3XiAoioHV4/pTKRZYrg0zGbF01FsgNvAz2/zcA42Ornno03M31pGVpydWyfkMiwrFiVIj7bbrdGqbdX2DF33BNSd4zyz4XsqG7hu9j6/5/+/L7fTf8YwLPi22/VMDOfJi/rxwKdbvfN0cWFm/nhyd/qnRh63mV7DMAiT8PaMYazZW8VnG0uwmSQXDc4gI8aKqgUeFTBafMwfOSsPl+EJ8lWBp7UspGQdIkSIXwhdkWyvbORf87azoaiGCKvK1MEZTBueiVXX/Sq6brdOTqyNd2YM44G5W9lYVMO8zaXUOFz8+ZSexJklaFpAXRHZoi7VUZXYKRUe/nIb47sn8ZfTenGwwUlSpJVNB2oprmlieEbUEVkaBkMqkgYDXl60m682lyCl4LQ+nbh4aAZ2Dnn52iRMH5XNrW/7j04BpERZSQw3M+vKIfzj862s3VfFPVO6+VWDWzEpghFd4njy251I4emgumdyNx+HELtJIS81ysdfec7KfTx0Zh73ndKDl37YTXFNE1J4Rn2uHtOZ+z/azJbiWl5dUsgzFw9gQ1E147slMCg92rv2GcYh2ywAdN/xHUWR1Ovw6Fc7mLuxGJdmkBVn584TuzEoPQol0DqlGVgwGJURjcyKQdN0dF33ru0TeiTy6Dc76Z8ezSXDM7nvw02UtCkUjOkaz+yrhiIxsAnP72J3ZYNfsNxKjcPF9zsrmNL1+IjFNRlw+Ssr/b6rZrfOla+tOiJR0xC/HMIwfgIFhN8Rum5QWdl+y0sID1Etnr81NYEvPr93pBRIKXzM7Kt1uOSl5dw7pQe3vr0u6H2HdY7l8XP7BF4kWmiSkrX7a/jrJ5s52OAMeE6kTeWdq4dzsNHJ7vIGMuLsGAa8tGgX15/QhcteXuHXpgsQbTcx98aRaDpMeGxhUEuibkkRTBueyX0fbaJvWhR/Ob0XhmGwpKASkyIZk5tAhFVh6gvLPWrTLQgB95/ak5N6JmE1DNwGOAyDTzcUs62kju7JEZzeN4Vd5fVc/mrgyi3AzGkD+eOHG6moP/T+rx+Xw2WD0wNWARRV0qh7xnwleLPfrTQiGPufhUGfD+D964aTHmFBHPbdKKrEoUO90xO0RlgUbMIz7/5ToKoSQ3hcs3XNf2N5JAjh+X0eC//rf9//a4S+7/8tforvW0qBokqgRQdECL7JrwxoTdc5PozZVw3BFOT6qbS0srpahBJNEsxBWqZ1RdKkw5biWqTwOElYBN5ruKpKGjUwBFgUwc6KRgzgvo82+ThXDMqM4e4p3UmLsh6zC4CUgoMug7OfXeLXGRYfbub9a0cQhu6dW9ZUhbs/3MTCHb4aG1aTZOa0QfRICkfRdJpaksxmRVBQ0ciVr/kGYiZF8Py0QWTG2jwJgAgrFonPHHfrd763ysGJj3/vl9Af1SWey0dmkR5jo7zOydJdlcxZsZfKNvuPrknhvHjZICwGR1WJdyoKZz27JKDTxp9P7cFpPZOOeh5OKoLKZp0Gl8ZFLywLuNcZ1jmWR8/tg0nTMZsVXli2l6cWBBYyAzgpL5l/nNoD7UfOp6uqwtxtZdz38eag5/z1tJ6c2SvpR8/CByN0TW+fuLhwb5ItEKEKc4gQ7aAoEkURaFpw70ZFkTgMKKxysK2klpQoG3kpkdhNktcXFGAzKdQ2BbZiaKXW4VFDbk/iqdmts6ygkgndE3l3tX/rcqRN5cVLB/Hg3C0sbqO8HWlT+dvpeawprOLJi/pzxzvrfWZ94lsy1hEmhWaXxln9U3kngJcwwLXjOvPiIo/H5fr9NZz9zBJi7Ca6JUfgdOt0Swzn1re3+QTL4Mk2P/DpFgakR5MWbmZdcR3XvbnGK+Dx2YZiHv9mJ89eMoALB6UxJ8Dz90qJpNGp+QTL4PFNvmBQOvY2t7W22L29toiXF+/hYIOT1Ggb14/rzIRuiShuDVVVEC0WF+3Fnk0unWaDQ5nyFrSWWfdYteUCq+nHXRikFSkFum54lUWP9r7NQlDv1CitbSIhwkKEWcEmDiV2QoQIEeJ4IYTAKQU7yxt4f00RAjh3YBqdE8L477c7A95nV0UDX20p5YyeiQFHRjRNxwR4XHuDCyVqqsIzC3cxu0UNGTwWS9ePy+HiIWnohmDullJmLS2k2uGif3oUN52Qy9xNxX42j6sKq/jThxt5euoAYlVxTElKlxD8+ZNNAceoKuqd/Pvr7dw/uZs3mDd0g8tHZHJa3058tPYAtU0uBmTEcEqfTny0tgi7OZWUKCuGYRCpQoMOX28tYdaVQ1hVWEVhZSNpMTYm90oi2qIg3TpREWavPkogokySZy4eyC1z1voE3UXVDrLiwrji1RVBq7A7Sutxu3VsLcuglAInAg1axqYOJakVRSIEIARvrtofMFgG+Ne8HZzYM+mIW6GlImkCKhtc2M0KX24qCRgsAyzbdZC6Zo1YVWAYEBfW/rPEhZmQx0H0S1GEz4x0IDYfqOXs3sk/8plC/FSEAuYQvypUVdKoGy3DLZ55lp8q29YeQnouwKv2VLGzrJ5uyREMyIjGioHRJshQFMlBl860l1dQ3GbuyG5WeP/a4ewsrae4pomchPB2n29Y51isikB3B1+QLarki03FzLx0EF9uKvFbgG86IZcn5+f7BMvgCcbvfHc9714znPdW7+OlywdT1eCksLKR1BgbEVaV2UsLGdc9kd6pkdw6MZfimiYWtRGakgKuGtWZ7Lgwv4t+VaOLZbsOYjcrhFtN7YqQPPtdAX8+rSfXtwmWW3HrBtfNXsP828eyubiWjUWHnmd0bjw3ntCFG99Y6/eYnrnrg5zQOdab1HBKyR3vbfCxoSiqdvCnjzazeUgtN52Qy3f5FdQ1uRnTZu7pcIZkx7KpqIYIi0on68/vxagpEodmsP1AHTazQk5CmGcTcYSZd0UR1Gpww1trfL633MRwnr14ALEmGWrRDhEixHHFqUhmvL7a55rz8foD9EmN4j/n9ePyV1YEbCF+Z9V+JnVL8BHdPBoUVfLOuiJmLfNVfHbrBv/9Np9T+nTi7vc2sK5N+/H8beV8u72cv5/ZO6AC9I7Seirqm4mPtR1TwNysGyzdVRn0+BcbS7j7xG7e4LBJN7ji1VXkJIQzuVcSNrPCjpI6Nuyvpn9GNPd/vImtxXXEhpn574X9eG5hAT/kV/La0kIGZcaQFGllcX4Fj32zg7emDyU32trx69Z0+qdG8u61w9mwv4bKBifdkiJw6zoHG5qDBsut6B6dNDRFsvOgg8e+2cG24joSIixcOTKLCT2S0HSdlXuqqGxwMrZrAh+vO4DdrHB63xR6p0bh1HTmby1jcUEFDpdGUZWDnChLxy5gimBrZSO3vb2e8vpm7prcjSUFwT9vgK0ltYzJjMHl0jihewIPzA3uNnbR4Aw/nZBjQdcNcpPa3wfmJoX/rCJzIY6OUMAc4leDpiosLaziqQX57KnwZEmvGduZsV3ifWZufmqEIimobuKKV1f6WAaFmRVeu3II2ZEWr3qjA7jkpRU+czIAjU6N15buISPWztJdleworWN457iAC6dFlVw6LBO9AyEmm4STe3fi4S+2MfPSQTz7Xb5X0KlzfBgjc+ID2m2AR1Bj9vJCbp+Yi5SC8tpmvtxcQklNk9d66c2V+zijXwpXjspmSl4yfzy5B8t2VWJRFYZmx1Je14xueD6HhgCqkbFhZiobAmeMW8kvr6ehWePVK4agGwa1TS7eWLbX+7m4dYP528p4+bLB7K1ycLChmZRoG1sP1HLt66upagxcqXdpuidzjSfDXXjQ4RMst6VnShQPzt3C5xtLSIiw8ORF/Vm9p8ovAWEzKdx/Sg++2lKKzSQDPtZPiVtV+PvnW/mszdy5zaTwwBm9GJMde0Ttbw4kl7y8zE8wbGdZPRe9sJyPrh9xzJvTECFChDgcoUqe+a4gYDVtQ1ENn64/wOn9Ung3QBdR84+wb9QVz4jMzO93BzzeLz2aJQWVPsFyK4YB//x8K09fPMAvYAaPHVGPOLvf7UeCu4MuHrduoLWJ1ppagrOC8nqe+c6TfL5kaAZVjS4e/OzQ+l7V6MSkSn5oSZAbAQQ7n5ifz2Pn9EY5gk9VujUSw8yU1DhYuusgry/dQ0W9k3+clcegzBhWFQYWA02PtWFTJQbwxZYyH2unumY39328mc83lTB1aAa3tdhaWlSFQZnRnDsog/dW7+f573dhMymc2rcT143L4fZ31rV8Ji2qcEEQAqqcBpe/shJ3S6DZ6NSItLUf2lhNKk4pMQNWA/50cg8eCrB3unR4BnE203FxvHC5NCb2SOIfn2/zvta2qFJwUs/kdgtEQoDJ5HlvbrcWCq5/Zn7+XWCIEAHQpOTphQXcPGcdO0rrcWo6uyoauPv9jTz4+Tbcys/3U20y4NKXV/gEywANTo1pL62gNfSQUrCnstEvWG5l7oYSzh+cDsDj3+zk5gm5jMmN9zknMcLC7KuGEHYExUvDrXPjuBwMw+CWOWsZkBnD61cOZdaVQ/j7WXkUdzCXsnZvNcIAp9vgtnfWsbqwys+n+ON1B2hsdtMjOZLnFubz8boi3lheyImPf89fPtmMpuueeSXV9/sQAm6fmEunlhmZYKRG21iUX84lLy3n0pdX8I+5WzmtbyduntDFe86O0jq2FNdyzrNLuPHNtTz02VbK6pqDBssAg7NivW1fUpXMWbkv4Hnx4WaSIq1e8bPyumb+NW87H94wgrMHpHrUVs0Kp/XpxKtXDubhL7eREWsnwvrz5hYNRfLY/J0+wTKAw6Vx13sbKKxpanfWBjzV5R2ldX7Bcivl9c2sKqxCVUPLQIgQIY4PDh3ea8ft4KN1RZyc1yngsQk9krAp7V/XAqEpkjlrithT2UiNI/A6cWLPJD5eF9xasa7ZTY3DRXy4fwoxJsx8zNoPVlX62DodTk5CmM+1PMyiorT5vxBwWr8UnjtMsdpuUoJqmbSyo7QO11G8bsWtcengdB4/vy8vXTqIr24dTffkCG6ekOvzmtpyz0k9CFcFzcDfPw+csF9SUEmzW6dzfBjg6fY6a0Aa015azjur9rH3YCPbS+v4z1c7+Msnm3nigv5kxNg7/MwNKXn2+wKfAHTe5hLO7Jca9D52s0KEVeW0pxdT7TZQMTi1VxLvXzucCd0TyYi1M7xzHLOuHMz1ozujHieFdAAb8NwlA1AP+ywVKXjm4gFYRfD365aS0madp3/Yw3++K2D7wSZciuxwHxDi+BHaKYX4VVDr0nh92d6Ax+ZuLKas3okQR3ZhUBSJW0ocQtIkJfpRXFRMJoUF28sDtouBJ2D5Ib8CVZUoimRTOzMpdc1uthXX8qeTu1PjcHHN7FWMyIlnztXDeOyCvrx/3XA+uH4EnaOsR6zAadI0nrqwH89ePIBah4uFO8qIsZnIjrURbTO1e99omwmTIlix52DQ9wcwa2khRTUOPl5XzLp9NWw+UIumG2wvrWP6rNWEW0x8fMNI7j+1B6f3TeHmE7rw7e1jGZkVQ7zdRFpM8KD5vEHpvLJ4j/f/B2qa+OOHm0iOtHLHpK48d8lALh+RRZNbp0tiOM1unaW7KhmQGUNikE3H5F5JhLetABseq4xAnD8onX0HGxmQEeOtSLs1nWW7KgkzqzxyXh8ePb8fiZFWZsxaxeL8Sh74dMtx8+I+UpoN+GBNUdDjj369A2cHfw+KogT1b25lwfYy5M+YjAoRIsTvG5emB50fBU8FMFDwFW5RuWRIRoedVoejKJKNxXU89s1OFCkIdlm0mGSHLgz1zW4sqm/2WgoY2TnumK347CbJdWM7Bz1+zdgcml2HOqSsAk5pM8eaHRfGztJ6v6qkw6UR1cGanxxlRR7hvqkVoelYdZ0Um0q0WeGJ+fl8sKaIZy4eQNc2LcXpsTb+dW4fwi0KQgjW7q0OWDlt5dP1B5jQIwnwCIX96cNNAfch+WX1LC6owH4Eidxm3WDF7oM+t+WX1WM1KYzqEu93vhBw3yk9mLW0kPK6Zu7+YANOBIqmkxVh5h+n9+TNKwfz2Lm9yYu3tyvCekzoOn2Tw5l/+xjuPqkbp/dN4Q+Tu/Ht7WPplxyOCPL5aarCP+dt55Qnf2Dmol3MWlrI1JeWc8Vrq2kSMuhvPsTxJdSSHeIXx2RS+GJ98Iw0wNur93H3CV1wdmAgr0tJ/kEHD32+lc0HPAqZ47slcO+UHsQcgWiHlIL1RdXtnrOhqIaTu3uESVKiDpeC8rQmT+qZRLhFpdmtcVqfFAZkxvL5xmI2H6jBbeiM65pIvN2EKYCNRnsYBphaLu63jPEswi6XhuHWSY60EBdm9lGwbMuVo7IJt6gc7KBturrRFdReqsbhYnF+BYMyYzhvYBrThmbgaHR6vhcdrBJemDaQC19Y7pfpv3R4JpUNTr+KZ6coK12TIviqopQ/vL+euiY3vVOjuGVCLjvL6vjv/Hzu/2gTT07tz3/n72RJQSWG4VENvWhwBlePzvZp2Td0g9P7pvDFpkPV2YGZMdw2sStF1Y1sK65jYo9E7p7SjdeXFtKjUyTvry5i7b5qXj9s9g08iY/Cg410jbYec5XhaKlxuNrdfKzfX4NmtH8BNwyDuADVkrbEhZnb63g75JOpQ5XD1WFSJkSIEP/bmBVJhEUNKHIFHhHKSJuKzaTgaGk/zUuN5JFz+hAmQT/K6asmAx6f7xESW767krG5CXy3w1+TYmtxHcM7x5JfFlxjo3N8GGV1vh1j953SA2ubzmClxUtZILApdBhIO1w6CREWbp2YS02jk3HdEhFC0OTScOsGu8sb2FhUw9gWmySp69x7kseycemugyhS0NyyvilSMLZrAmkxNqobXRRXN9ElMTzoe5oxOtsjunWUcZ8Qni4nzfCs2/d9tIkdpXVcOSqbHkkR2CwqLrdOvdNNnN2MEFDvbD8Z0ejUCLMoJEdaSY22seswgbW2vLNqHxcOTOtwXEgIEbD76+73N/Do+f2Y2DOJ91fv52CDk14pkVwyLJNvtpYyb7Nnb7ByTxXNuoGKZ8ZYYrRohBg/mYAnmoEduKhfCqK/x7XC5dKCrsOqKvlyWxmfbCj2O7a9tI4H527lb6d091E/D/HTEAqYQ/ziCAENHVxsG5paNReDo6iS9cWeKmgruuER9Vi26yCf3jiKSBlc3AE8F80uHQh05cR7hBk0Tad/RjRWk6TJpaNIwT1TutM5PoxP1xdTXF1HjN2ES9NJj7JwzehsHC4Ni6pgaPpRB8uHv07nYZ+ZFXjywn5c9upKP1uoETlxWFRJYXUTAzNi233swVkxrA4yrwSwsaia8wekYlWkp5rbJomh6wZJVpW5N43i+x3lLMqvID7cwoVD0lm4vZwHPvW3VPj3eX25+/0NFJQfWkA37K/hprfW8qdTPFXsT9Yf4MY31zJtWCY3js8lNsyE3aRgk2C0biYUiQNP63xGrJ33rxvO7vIGHC6N3KQIrp61ykcd3KQI/nFWb2LDzHy4Nng1F6C+yYUQ1o4FSI4DQpFYO4hLY+wm2o108SRSTs7rxL+/2hH0nPMGpuFyBfnbk4Iat8GzC/JZtLMcm0nhoiEZnNanE5Yf8dsNESLE7wMhPEnqJgOaXTpWk8SuCi4fmcWT3+YHvM8VI7LJiLLy1a2jaXBqmBWJVRFYRXAnivYwBGwrqQPgzeV7efriAWwurqX8MAXm9fuqmXnpQN5ZtT9gZfOkvCTCLAq9U6Mormmia1I4N52QS3qkx1JQSoFDSD5dd4DPNhajSMG5A1KZ2CPJ73oohGem2qkDAlxugxN7JvHa0kKufn01zW6duDAzV4zMIis+jFibyZuM9STFNf5zbh+qHW5W7jnIoOxYJvdK4qpRnVmwrYydZXUkR1rJjg/j3+f24fJXV1J92MjSSb2SGZoVe9T+wZoiqXS4eWFRPjtK60mJtvLnU3tSXNPE9pI6TIrksa93eBPfaTE2/nZ6L/qnRwd9zPRYG3ee2BXdgJRoGxZV8vgF/Xjy23wKyv2D/RqH64hm2e0Spg3N5I8fbfK5vdGpce3s1YzuEs/DZ/dmQ1ENuysauO3tdX4FBYdLI+wX0Cg5UjHbRh2e/35X0ONfbSnhj1O60/4wXIjjwRH5MJeUlPDiiy+yefNmtm3bRmNjI7NmzWLo0KE+5zmdTl577TU++ugjioqKCA8PJy8vjxtuuIHevXt7z1u6dCkff/wxa9eupaSkhKioKPr06cNNN91Et27d/J5/8eLFPPHEE2zbto2wsDAmTZrEnXfeSWRkpM95DQ0NPPbYY3z55ZfU1tbSpUsXbrjhBiZMmHCsn0/Ih/koOFaPNykFO6ubuPCF5UHPef6SAQxOiWx3QXVKyXkzl3GgJvBM8Rl9O3Hf5G4dKgw3CsH4/ywMaDWkSMGCO8Zi03WEEOiqZFNxHVe/vpr7Tu3JtuJav/lZm0nhjelDyIw4JBZ2pJjNCpoBiqDD6jp4gq1qt87z3+9i/b5qomwmzuqfRpTNxB/eW4/drPLedcO5etZqtpfW+d3fapJ8cctoJj36vV+Fs1dKJLdN6orTrVNc4yAzNoxeKZGYdM1HObwVk0lBlwINQbXDyUlP/OCnjD0iJ44ROfH8+6vtAd+P3azwwqWDuPjFQ7+N0/p04v6Tuvn6IiuC/Kom7npvg3cht5oklw7P4oJB6Zzz3BK/DQV4vs8Prx/BO6v2MTvISADAt7ePJaKd+aLjhaFINpTUUetw88zCgqCVg3tO6sYFfVM63AxpUvDWmiKemO+/eb1iZBZXj8gKOKOlqpKCmmamvrDcr709Oz6MN9rxSw3x+yDk2fm/xdF+31IKHAge+nwbX28tRdMNrCbJhYMzuGZMZ/76yWbmHSagNaFHIn8/vdePEvEUQiBViVs3MAlBg25w7vPLvFoiXZPCefDMPBbnV7BgWzmKFJwzIJUJ3ROxAHtqmrjl7XXedUIKOK1vCvdM7obFMGg2wG0YmKVAbfF5llJQq8N5zy/1szXMiLXz5vQhWFquk0IR1LgMHp+/k69a3v9bM4Zx13vrfZLCrZzVP5U7J3XFrPl/JkJ4EsEuIVh/oJZ/fbmdzPgwGprdrNpThVPTefjs3ozoEs/H64pYufsgEVaVy4ZnkR5tRe1gv3H4d24ogoW7qrjrvQ1+5/5hcje6JUdw1WurAj7WvFtH89dPNrN0l2+LdE5CGA+f3Yf7Ptrks+fIirPzz7P78NDcLX4CcSNy4nj0nN5H1BLtVhWufWMN6w8Tc1Ok4OXLBjF3QzHvBLDhBI/Q1oI7xmINsAZ6PMQVwEBvx1b0p8apSEY+8l2758y7ZfQhe8t2CF3T2+e4+DAXFhYyd+5cevbsybBhw/j2228DnveXv/yFjz76iKuvvpphw4ZRVVXF888/z9SpU/nwww/p0sUj7PPWW29RXV3N5ZdfTk5ODhUVFbz44ouce+65vP766/Tr18/7mMuXL+fqq69mwoQJ3HrrrZSVlfHvf/+bHTt28OabbyLloczQjTfeyJYtW7jzzjtJS0vjww8/5MYbb+S5555j7NixR/JWQ/wC6LpBRoyNbkkRAYO4tBiPr3FHF6wGlxY0WAb4YlMpfzixW4dtPjYheOLCftwyZ51P0KxIwVMX9ff48SqSymaN/3y+jXCLynvXDqeq0cVfP/GvoDpcGjNmreaTG45ckVhXJPUunXeXFLK7opHeqZGc1icFu6TdgF8Kweyle1GE4PxB6TQ6NV5ftoetxZ7PtcGpsbOsjuenDeTmOWvZ0GaRSYiw8OzFA7wqnW3plRLJn07pwS1z1vlk7sMtKi9dNoicaCvGYa/LqRmsaakUXzUqm4k9Epm32XcDNb57Ih+1U91tdGpU1jd7W81H5cTxxyndkdohNVUhBBXNOtNeWuET5De5dL7eUkpeSmTAYBk86uEfrS3i0mFZvBuk8jC5ZxI2VRzxnPmxIgQcbNa4+vXV5CSE8+dTe3Ld7NV+iuR5KZGccQTBMoCiG1w0MI1h2XEe9fkWK7EbxuXQLSEcJcAmDTxZ7TveXR9wFnx3RQNzVu7j8sFpaMc41xciRIjfNs1CcvFLyymsbPTe1uTSeXXJHvZUNPD3s/K4+YQuzNtSihSCE3smEWNTf1Sw7FYkJXVOXltWSGV9M8OyYzlnYBpXjsziH19sAzw2UBfNXMaYrglMyUsmNszMxG4JGE43OpAdaebt6UOpd2rUN7tJCLdglSDcGhqeTbEKoBlen2e3EPz1001+wTLA3oONPPNdAbePz0HoBmVNGmc9u8Q7x907NYqNRTUBg2WAD9cWcdMJXQLuDQzD0/ItLSqdoqz88ZQefLutjEibiVsm5PL11lLu+WAjc64exrq9Vfz1tF5EWxQMt4YQ0CglmmGgCIFdCrQOPvtmQ3DPBxsDHosJM/PIl4ET2wB3v7+RZy7uz4OfbWXe5hLv3umBM/K4Zc5av73ZnspGbnhzDU9e1N8nIQ5w54ldMRlGQJ/twzFpOs9dPIAF28t5bWkhtU0uhmTFcP34LsRZVRq7JwYNmE/vm4LlsPhICE/xpfCgg3dW78et6ZzZL4UeyRFYWhIoPysGpERZg+5tpfAUZTBCa/FPzREFzIMHD2bp0qUAfPPNNwEDZpfLxaeffsqpp57Kbbfd5r09Ly+PSZMm8cUXX3DTTTcBnsA6Li7O5/6jRo1iwoQJvPTSSzz55JPe2//1r3+Rm5vL448/7g2OExISuPLKK/nyyy85+eSTAVi4cCFLlizhqaeeYtKkSQAMGzaMffv28fDDD4cC5l85FsPg5csGcf8nm1iwvdzb+jq8cxz/d3ZvrEdw8eyoV0I3jI66ugEQus7Q9Cjm3z6WD9bsZ0dZPV2TIji7fyphUqAK2FXbzEUvLPO2PidHWb1BaSAqG5zsr24iJ9LS4RysrkgW5FdwzweH2ozmbS7hifk7eenSQfSItxOw/A04dYMtJbV+Qhht2VZcz8drD3DfKT2wm1UKKxtIiLAQYzfz9ZYSVCm59+QePNjGHuIPk7tx05tr/dqZ6pvdXPryCr65bQxtp7mFInEYYDervHz5YFyaZ674h50VPgGgKkW7AjHgsaD486k96J4cSaRFwaRpPt+1LgWPfbMj4MxvR98LwO6KRiJtKm9MH8qth1UeTundiT9O6Y56BJs8oUqadM/vTBGCMEXQpBs0aQZVjS7P3J4isRB40TWk5LmFO9ANj+3Ts98V8OqVQ5i7oZhluyqxmxUuHprB8M5xmDT9iO1XFE2na4yV/5zTG7duoAqBWRhoQYJlgEa37rMRPpy3Vu7j/IFpBNd+DREixO8VVZUsK6wKeo34bkc5tQ4XyTaFK4d4nCLcbs0vqXo0aIrkqe928caKQ51Ai3ZW8Mx3BXxxy2i+2VrKihZbJd2A77aXs6mohrevHoZoY1elaQZmDGJVQaxq8gQaHVzem3XaFVD8YG0R14/NQUHwt0+3+Kxpw3PimL/V36qqLct3VXJS13i/eWipSJqEYM3uKlbsPkh8hIVT+6Tw7qp9XDBzGTee0IU7T+zWEnTnEqYKNKcbTVV4Z81+Xlm8h6pGF1E2E5cNz2Tq4HTUw9bPVlRV8sOOCr8usFZSo20BCxqtrNtXjdOt89eTu3PvSd2panQRY1fZWd4QNNg72OBkR2kdfdKi2LC/hkirykNn5pF6FN14hmGgujWmdItnbG4cugFWKRC6juHS6J8ayY3jc3j6uwKf9z2ySxx3ndgVcdja7lYUbn17nfe3BPDphmK6JIbz2uWDsYjAn99PhV16hOH+EqAYA3hGAiQd/oZD/HiOKGBuW8Vt7xwhBBERET63h4d75kHN5kP5s8ODZYDIyEgyMzMpKTkk1FNaWsrGjRu55557fF7DyJEjSUpKYt68ed6A+euvvyYiIsKn/VoIwVlnncX9999Pfn6+t8Id4teHrhtYhMY/Tu9Fs27Q4NSwmxQsUmAOEmAcTphZISHcQnl9YFGrE7oncqSSRUIzCAeuGpqBjkdO3uXSQDdokpK739/oMyccaTX5iYUcTklNE7nRFtqJUwCod+k+wXIrLs1gxuurmX/7GCxBwiWTIsiODwsaME/okciknon0z4imyaXjcDbzw84KmtwaV4zMJjHSyp7KRvqnRzPv1tE8t3AXBeV1lNc3BxUTa3brzN1YzIX9OuFy6WiK5PMtpTz29U6v8EtCuIW7p3TjveuG8++vdrBgWxm6ATWNLk7onhBwjgk8QWuPThFESNA0HSNAoOg0COq5XFHn8XFuj+x4OxbDoHOkmbdnDKW2WaO+yUVShBWL9PhTtkfrbNuzCwp4f+1+mlw6mXF2bp2Qi0WVXP/mWu+5eamR/PeCfkSr0q9jwmnA2n3V3v8v3VXJxS8s56S8ZM4ekIbTrZMZa/fMyx3liq3rBgoGCoDRsaCJs4PKcX1T+5oDIUKE+P0ghEfsym14Em6aAR+vD27RBPD9jgou6NfJb1ZTVRUcmoEQHpHII1GfllKwo7LRJ1hupcGpcdnLK5k9fQg7Sup4ffleHC6Nk3omMbFHEjZ0tB/ZHeTU9HaDpCaX55qsI1h22NrbvpOwh0DbG6kISpvcTH1xuU+H1BMC/nJaL6wmhae+zWfmtIHkl9WRFmnBcGm4FcmfPt7Et9sOCZ/VOFz899t8VhVW8e9zemMKEIwKISitCy4IeiRKzAKQmo4NsNkUzCaFJfntOzWs3VvN/af0pLLBSVacnTirCsfQheB264eq9Jrh/cwVTWfaoHTOG5jG0l0HaXJpDM2OJdqqepLvbR5DUSWvr9znEyy3kl9Wz8PztvHnk7odvYraj8Dt1pncI5Hluyr5fJOvzWSXRE8nmqIfu395iCPnuIl+KYrCJZdcwpw5cxgxYoS3Jftf//oX8fHxnHnmme3e/+DBg+zcuZNTTjnFe9uOHR6xmtzcXL/zu3btys6dO73/37lzJ126dPEL7ltnonfs2HFMAbMQh/r+Q7SP2mLH8Et9Xrph8MdTenDb2+v8jllUyV2TuxEd/uNrYvtrmvwCvP1VjeQmRvjN4rSlS2I44eH+qtqH88I3O4Mea3brrNxTxam9k4Mu4FeMyOLtAD7EN0/oQlyYhQtnLvN6GkfbTdw2sSu9UyM577mlPi3JqdE2Zl46ELem+7VSH87afdVMG5aJ1QYfrDvAA5/5+jGW1zdz57sbeO6SAYzMieey4VnEh1tIijTjcOq8tWJfQMuPCwdnEGlVsZuCG1UfdLiwmhQfQa9WdpbV0zkhDLtZ8fPVbuXioZmE2T1LbTjQgeZbwOef+vwy9h48VG0prGzktnfWc+3YzlwyLJPZLerbm4pqueCF5Xxy40ji2vwWnZpOVU0TsWFm9rSp2jg1nU/WH+CTls3ph9ePICIi8G+odUOj6QYuzfDzyj4aXI0uLKoMaj82OCuGMItKmPkIDMRD/Cb5pa/nIX5egn3fDU6N8nons34oYH+Vg37p0Vw4OB2lg0KKSZWEhZnbrFMGlY1uPlh/gLkbi1Gl4LxB6YzvlkBsB+r7jS6NmYsCV9gAdlc2UFLTxMicOAZlxaDpRrtrxtHibqnSBvJ4zoyz0yUhHKtJwRGgW2r57oOc0S+FRe1UqEd0iSMszHdvctDh4rKXl/mNE+kG/PXTzbwxfSjvr9nPmyv2csnQDCJsJoTdzI7yBp9guS1LCioprXfSK9lT2Dr8Ox+cFVwQdHNRLUOzY1keJBk/KDOGcItKhOVQWCGEICGy/T1PbJgZt67TOzWSCIuCVf3p1pRz+qcAwbsRKxtdvLbU3ymjlS82lnDPSd1J+AWuiQ+c0Yvrx3fh/dX7aXJrnNK7E7mJEcTYjjyMC13T26ejpNBxlYa7++67mT59OjfddBMDBw5k4sSJbN26lVmzZpGUlBT0foZhcP/996PrOldddZX39urqagCioqL87hMVFeU93npusPPaPlaI3y9SCMblxvPMxf19vID7pUfz/nUjSA1gAXUsBGpZ+mT9Ac4dmBb0Dy43MZyEiI4nmN26wZ527BaAFjuG4H/ZSZEWHji9l89t/dOjyYix85dPNnuDZfBYSP3lk81sL62nT5rv309RtYNrZ6+mxuEmsYNFLy3ahkkKqh1uHv06uCrzM98VIKXg0pdXcKDaQYRZJT7MxPvXDScv9ZCIn82kcM3Yztw2MbfDjU+01cT5g9KCHp+zYi8zpw0MGED+8+zexIf9OKukb7aW+QTLbXnph92c1qeTz++ivK6ZpQWVPrcdqG3mrvc2cPaA4O8jPtxMpza/4VZf8ganRkldM5uK61izr4Y/fryZm95ex+vL91Le4DzqajRApEVh2vDMgMeEgDsndwsFyyFC/M5pcGq8vWo/Jz7+PbOX7eW77eU8/s1OLnt5JecNDH6tAhjXLcEnMCmudXLaUz/wzy+2sWF/DWv2VnPvBxu56IXlVAbRmGjFqemU1LRvh1jaIvplUeRxDZYBYmwmrh6T7XPb5F5JvDljKNeNy2FctwTK6p2oiiArzu5z3rp91eQkhPvd3so5A1KJCmCNtKu8IWi3nGHAx+sOMCUvmcLKRnKTIhBCIITwJleD8d7q/UGFjXISwnz2Tm15f81+/nJaz4DrqEWVPHBGL59g2fM6DabkJfud35apQzMYlBFNQpj5Jw2WPa+n/dE9zTACJkVacetGhyNkPxWRFpWuCWH8cUp3Hjy9F0MyY44qWA7x4zmun/bzzz/Piy++yG233Ua/fv2oqqripZdeYvr06bz++uukpQW+wD7yyCN88803/POf/yQnJ8fvuAgShRx+e7DzOjrWHoYRUpQ7Un4tCnzD06J4e/pQmtweqyeLFFiEQUMHLdNHik2VRNtNPpnf2iY38zaX8MDpeTzw2Wafdu3MODsvXjoQxaVRE8SbshWTSaFXSqRXXTMQPTtFUlfX1K4I2qQeCQzPGcP7a/ZTWtvMpcMzueOd9UHPf/a7Am6f1JWVh7Ui7TvowKJKhneOxaQIP7uqVi4YnE5NjYN6nYDCKK1s2F/DnSd2I9yi0j0p3PtbSTBLZk4dQJNm4NR0wswtllHNLmqa299MAVw0OIOP1h3w83hWpODEXsl8v6Oc168aytKCSnaU1pEVb+ec/mmEqQJ3k4u6JtcxiXm4hOTdVf7VfO9xzWB3ZQOp0Taf1/bVllLGdY5Fc2kYLTYd6/fXcPWYHEZ1ieeHw9rYzIrkyYv6YzEMyuub2VFWz9biOjLj7GTGhVFc08SXm4p5f80hAbXvtpfz2Dc7mTNjKCl29ajbEqePyMLt1nljxV7v9x4bZubhs3uTbDP94n/nIX5afi3X8xA/D4d/30JAuVPn4S+3+Z27vbQOzTDolx7Fun01fscvHJyOXRHex9IUyf2fBBbN2l3RwHMLC7hpTDZGkI4WoUp6dgosCtpKZpyd2lrHTzZfek6/VEprmpm9vJDzBqUzMDOGq15d5fWSBk/we++UHlwze7XPfe/9YCOPXtCXOSv28tmGYlyaQbTdxFUjszlvQCqaw+UTqKmqZGdZ+9obhZUNDMiIIS3ahlV6PmuzWcXdweyvSzNobHTS3Oz2+87NiuD1K4cwfdYqH5GyhAgL/z63D0l2E5/cOJJ/zdvOt9vKABjfLYE/TO5OrFkGvFZYpeQPk7vxyDx/wbAZo7OJNEmqq38d1xghJQkRFj9LslYsqsTc5nf9WyN0TW+fuLjwdqvMxy1gLigo4LHHHuPee+/lsssu894+YsQIxo8fz9NPP80///lPv/s99thjvPzyy/zpT3/i7LPP9jkWHR0NBK4O19TU+FSUo6Ojg54HgavUIX6ftM6ymCWAAfrxNaG3S7hlQi5/+3SLz+2vLyvkjL4pfH3bWNYUVlFe30zftCjSYuyoUuDSdUySdgMzl0vjzH4pPPltfkARqyibiT6p7SuGa1Ly4bpinpi/k5Fd4omymXC69ZbKdGD2HmwkNixwBXz9/mqqGlz8/aze3PP+Br95qz+d3J1IkwK6J0HRHiZFYBgGL102CKswfIRYTBiYBKAKJAZuQ+BSPNlsMyB1I6hgmtXQeXvGMN5YsZd3V+2nwelmaHYcV4zM4qN1RXywpogvN5fw9ozh2FVAh2ZNp9mA9SV1aLonEWEVIANYTARFGGgd7NC0lnm9tkRYVKQQaHhmlxcXeALku95bzyPn9OG0vil8uHY/NQ4XfdOimT46m1izQkmji2kvr/DZeNrNCs9eMpC6AC3p9c1uZry+mveuHob5KKecFLfG9aOzuWpUNsU1TdhaNAJMun7U9mghQoT4bSEVhdeW7g56/O73N/DBdSN4f/V+Xl9WSG2Tm05RVq4bm8OJPRJ91LCbdaPdluR3Vu1nxqjsoCKCQtO5ekxnPlp/IGBA3D05ghirCeNort1HieLWuGFMNtNHZ1PX5Oa0p37wWwvfX1NE37Ro/n1eHx7+Ypv3Ou3UdPZWNnLLhK7cPqkrLreOWZHYJWgtita6lDQb4NJ0bAiy4sLafT2p0TYq6p1cNy4HVdfR8QirnZzXiZcX7wl6v7P6pfjMldc0u6k1PLoUMXYzYarg9SsGU9HgYk9lA52irHSKtGLDQHdpxKmSv5/WE/dpPTEAE3jttwIhdZ2z+3ZiSFYsT3+Xz66KBtJjbFw3NoecOPsRWUf9XNik4JoxnXlo7taAx88bmOZJ5P96XnKIn5HjFjBv27YNwzDIy8vzuT0iIoLMzEwKCgr87vPEE0/w3HPPcdddd3HppZf6HW+dXd65cyejRo3yObZjxw769+/v/X+XLl346quv0HXdZ465dQ66a9eux/7mQoRog+bWmdIjCU03+O/8nd7Z2ZQoK2f2T8Um4IQucTgMg+cW7uLNFXtx6wYjc+K456TuJNpMiHYWdrsUvHjpIK6ZvdpnhjTSpjL7qiFYoV3F8AZN92ZzW7PAZw9IRYj225FkkNRaVlwYG/cfoKK+mTdnDGPuhmIKyutJi7Fx5chsos0KSsv7sUhBXmokm4oCz3JPyetEblIEZl0PrpiqSEodbv5v3ja+31mBIgSTeiZx54ldiVYFeoBKqa4bmNG4amgGUwenewJUITwKnKlRXDgoncw4GyYMXG6gxZ+4bWJCCpg2PJPrRnc+YusTm5Scktcp6PuVArokhXOg2re7YeqQDNytmxYDrKpCLW4anRo3vrWWrknhTMnrhM2sUFBWj64ZOHSDi19awcHDxNcanRozXlvF7OlDmb+tzG9koLimiYoGJ6l29airL0LTsQKdI81ERoay0yFC/K/gMgy/jp22VDe6+HZrKTNGZHLR4HR0w3O9C5P4Wd453Ua71x6HSwtm/AB41q1Yq8pj5/XlD+9v9LG7y44P4/lLBnrcB4743R0bUtOxqwr/XbIn6Ov98yeb+fiGkTx8Th8sqkQgaHS6eX1ZIc9+V8DrVwwmQgC6jqZ7BM0aEfxr3nY+31iCW/dUn9+4aqhfJ1tbzuiXysrdleTE2WnWDZyANAQp0VYGZESzZm+1333yUiLJjLWhazqKIthX08TNb631aq8IASd0S+TBM3qRaldJC4tC18FoCcjB02YtNcPHBqujz13RdLIjzTx8Ri9cuoGp1eNa01FVSaOOVx3NfoRCcD8Fmlvj1LxkNuyr5pMNxT7HhmbHcMO4HIwfYYsW4rfNcQuYExMTAdi4cSMDBw703l5dXc2ePXsYMWKEz/lPPfUUzzzzDLfccgvTp08P+JjJycnk5eXx6aefctlll3kD4aVLl1JaWsqJJ57oPXfSpEm89957fPvtt0ycONF7+0cffUR2dnZIITvEj0YIMJlUhPAoNp+Vl8xJPZOoa3ajSEGYSfFkjDWdKqfBGU8v9hGi+iG/kjOeWcKbVw2ha6wt+KKg6eQlhjH/9jEs23WQ3RUN5KVG0Sc10hMst5ORNZsVPlnh7zm4urCK0V3ig1pjDM+JY10bheZWIiwqYRaVcwemcdkrK/lk/QEm90qmd2oUFpMkPsyM0exCaakEK8A/z+rNuYcJiAHE2E3cMakrZrc76OZJUSSFdU7On7nU2wbsNgy+2FTCwh3lfHz9SGJUEbTSrLs1nypF38Qw+idH0GjA2r01vL+2CAGc0S+FnimRRNtN3iqAbsBrSwpJjLBwUb8UNLeOECAUhWbNQFU8vsZtM+lut8bpfVN4afHugO2G5wxMY+H2cp8g9rQ+nUgON3urIXZFcN7ANJ7+7lBScUdpPTtKPeJvyZFW7piYy8YDtX7BcitOTee77WWMzo3nu+3+gi9ldU2khUV0aGkWjJ/TRiNEiBC/POaW5Ofh4yFt6ZYciebSsLRe34zAAsI2kyTSqgYUZgTIirOjdCAnLTWdEZkxfHvHGFbuqaKivpl+6dGkRll/Vn/cZk1n4/5DbehWk/QKMDU43XyxqYSNRTXM/H5XQG2LJrfe0v3W8nhCMvXFZew7eCg5Ud3o4s+fbObpqQOYMWuVn2DlvVO6kxFjIzc+g/yKBh6cu5VtJZ4W7ok9Evnvhf15dmEB763eT7Nbx6JKzuiXwq0TcjG3OE04kJz33GKfNcUwYP62Mirrm3lmav+AatrHiq4bSAzP+tzica2pCvO2lTFz0W6Kaxx0jg/n5hO6MDAj+kf5df8YFLfGvSd144bxHg9xt6YzsUcSCWEmP1XtnxohwFAkzTqAgV3KDr20Q/x0HHHA/OWXXwKegBhg5cqVVFVVYbPZGDt2LAMGDKBXr148/vjjNDY20r9/f6qqqnjxxRdxOBxMmzbN+1gvv/wyTz75JOPHj2fEiBGsW7fOe8xsNtOzZ0/v/++8806uuuoqbr/9di644AJKS0v597//Td++fTnppJO8540dO5ahQ4fypz/9ierqatLS0vjoo49YvXo1zzzzzDF/QCFCgKfNucap8d6y3VQ2OBnfLYEBGTHYBVhMLaufruPWPRe4x+dtD7g50HSDP360idcvH+xjcaUogiZD4HDrOFwakTaJVcKEnFhkbhyaZqBpeoeZXCEEJbX+s9pvLt/LExf2Z+3eaq/VUythZoW7J3fj+jfW+NxuUSWPnNeHZ77L5+z+aaTFeOZwW0VFhmTFMHVIBo2GYFVBJVIIBmXFkBhmZu5No3hqQT7zt5ahKoLT+6Zw1ahswoSB3s71vsmA+z7eFHBWutGp8fCX2/jH6T2RRziPq+sGDuCyV1eSX3ZI2byuyc2U3snMvmoo//xiKwt3HNoUvrBoN2f0ScEsJTVunVcWFbBhfw2JERZmjM4mM8aG2mYjYUPn3WuG89dPN/P9zgoMw9MNMGNUZ07uncw9H2wkymYiJdrKtWNyGJoV47MZ0NwaU4d4ZrCLDpvlkgL+75zehKmSjUX+s4JtyS+rJy0msLBMeoz9Z9tQhggR4reP26VxwaB0Xly0O+B4UGKEhc7x9iMaz7BJuHJUNo8HcYC4dWIudik6dOsRuo4FGJsVgxACvWU85OeoRwoBqklBCsHILnFsL61jcq8krhyVzcdrPU4GUXYTV4/pTN+0KJ5eEPhVeUQYPd1cqipZkF/hEyy3srqwiqcX5PPlLaNZuKOclXuqSI+1cU7/NCLMCqqhs6akjqteW+Vzv2+2ltHs1vjHWb25dmwOumFgVaVn1KjFj1pVJV9uLQuagF23v4aKBhcpNvWYk6wd4VYk932ymflby7y3bS+t44a31nLVqCxmDM/ydq4FQ1E8beyaYaBKgaWlSU7Xf1wCRdV04kyCSwemel6rO7Cl5U+KFFS7DZ6ev5OFO8oxK5JzBqRy0ZAM7BjtjuWF+GkQxhH+NbTaMx1Oamoq3377LQC1tbXMnDmTb775huLiYiIiIujRowfXX3+9T/v0tGnTWLFiRYeP18r333/Pk08+ybZt2wgLC2PixIncddddfnPJ9fX1PProo8ybN4/a2lq6dOnCDTfc4FNxPlp03aCyMrBHbAhffq+CApoieXHJHl78YY/P7QkRFubMGEq0Inwuzs2KZPx/FgYVyAKYf9sYIlvibEWRlDdr3PbOerYUe1qjFCk4rU8n7p7czZPVPMIrtapKFhVWc/OcdX7HBmbGcM+U7ry3aj9fbC4GAyb1TOK6cV3YU1GPIiWfbjhARV0z3TtFMrFHEi8u2sVXW0q588RuzNtc4g3aFCn4/OZRzPx+l4/QlBBw+fAsrhubjQI43J4XbpMC/Qgyo/WGYPyjC4MelwIW3jkO65HOqimSR+bn8+5qT9U9I9bOw+f0Zv2+ar7e4lmop+Qlk5caxb0fbPBaOi28cyzbS+u5dvZqv9a7qUPSuXlcjs/slZQClxA0t7F0CpOeHvhmAzRAYmCTImBngZSCJiGZvbyQd1pmsId3juOOSV1JtKuYhOCbgkruem9j0Ld6ybBMqhudfHZYK1mvlEheuHgAph853/d7/fsOEZjQ9/2/RaDv25CSjWX1XP/GGp+OoYQIC29cNYR4szxiMUFNVXji23zmrNrnXc9UKbjphC5cMCD1VzXLejhuRXLQ4eatlXupqHcyPDuWvunRNDo1Ln9lpU+LOHgUws8dmMaNb671uT0xwsKH1w7H3HIt1hXJre9vZGlBZdDn/r+ze3NyjwR03bO+Nrl1XICB4KN1Rbz0w26v84UQ8OAZnrHIVxbvpqC8gWi7icuGZ3LhoHRMmu4JgBXJXR9t5rsdge2nAP44pTvn9/X30T4eSCnYVdvMec8vC3rO/NvHENmOJIqmSDaX1PPswgLiwkxMH5NDdaOTvQcb6ZIQTpeEsA478n6tKIpkb72TC2Yu8+vUS4608u41w458D9SG0DW9feLiwoMqyMNRBMz/q4QC5iPn9/jHqCiCjeWNXPbKyoDHuyaF88qlg7wLIIBTlcxaupex3RJwawYmRbJwRxlvLt/rrTp/detoYhTPH2aTlJzy1A8IPK3GbSvTY7sm8PCZvXwqmh3hVCSnP72EygDZ487xYbw1Yyi7Kxo52OikodlNv/QoXl1cyGcbizmxVxJRNhN7Kxv5dluZt7Lw9NQB/PXTzV71yOmjswk3qzw+P3DF4M+n9iQj1kZOQjg2RRzxZqhWhwmPfd/uOd/fORbbEV62mqRkwqPf49R0IiwqL10+mNvfWec3m5cabeOxC/oxfdZK6prcfH/XeE587HsfBdS2vHfNcLIjzce9aitVBUfLY5qEr5hKs5Sc0PJeAvHJjSO5+IXlPh0E2fFhvHb5YE9l/0e+1t/j33eI4IS+7/8tgn7fiqQZWFVYxf4qB71To+gSH4ZNGEetvK9JSbNhsPlALYoU9OwUiQXa1fT4pXErkpeWFPLiD74CaJE2lWcvHshDc7ewtdhf0fofZ+Uxe9lebxIc4D/n9WF851gwwIUnkfrWqv08811BQLtKgEfO6cPEnFg0oNql85+vdvDN1lLPvHH3JK4cmcUT83eypKCS6aOzMQyPneHh9E6N5PmLB2LSNKRJ4f7PtvL5ppKg7/ufZ+VxUtf4n2SeWDUrPPDldj5cG9wCq23ArigSQwh0DFQ8nWhPflfAmyv2MbxzHFeP6cxt76zzmfeOCzPz2pVD6GRTf3NBs0tKLp+1ih2lgWOPy4ZnctOYzkc9Tx26prdPRwFzyMQrRIh2cBqCZxf6C9a1sqO0nnqnRqzq+SPz2JcJ9h1sZNpLK9B0A0UKJvZI4oVLB3HjW2vpkxrlUUnGU6ldX1TDC9MGUVbXjCIFUTYTb6/cxyfrD7BwRzl1Ts0bXLeimiSNGjjcuqcVSRFY8GxgbBi8NWMoV81a5dPqlRZj49UrBvHE/J28uWIfU/KSOaF7Imc/u5SZ0wbx1kqPwvThpERZCbcqlNc1E2FRuWRYBlOHZnLKfxcF/Vxmfr+L+07pwfj/LOTKkVlcPSr7iGaSrCbpbf0ORL/0aEwdqZe1wdViUwVw3qA0Zi8rDPjYRdUOXlm8m/MHpVPf5GLLgZqgwTLAK0t287eTe9Buf/kxcPgMdttl3gI8PbU/176xxm9z9aeTu1PV6GT29KFsKqqhxuFiUGYMadE/73xfiBAhfmdonjboMZkxyOxYz2iQrh+T84Si69iBoamRAOi/4kAZPJXQPQcdfsEyQK3DzR/e28C9J3f3qyQDvLe6iFP6dGJLcS2JERbuOak7IzvH0GwINhbXMmtpIY1ON6O6xDPn6mE88uU2P1tHIWBQVgwNhmec65xnl/gk1OdtLuH7HeW8eNkg9lY2MqlnEhfNDFy13VhUy4aiGoakRmJoOtOGZwYNmKWAkTk/TbAMnuW70dn+Yzc43QgBLkVhfUktb6/aj1szOG9gGumxNt5c4bFzvHViLle+upKGw+a8KxucTH1hGZ/fPCqo+vqvFYemBw2WweOlffXobAL7moT4qQgFzCFCtIPbMALOF7WlrK6ZuFgbhmHglJIZs1b7ZJU13WDe5hI0XWfOjGEs3VXJvR9uwqxKpg7NIMZu4erXV3krwnazws0n5NI1KYJ/f7WddfuqmZgT551Z0RTJ4l1VPPzlNkpqPRXffunR/P3MPJKsKpqmE29WmDN9KOX1TvZXOUiLsZEQbkY38LYnXzYii0tfWoFT0/l4XREPndmbv3ziOz+cEGFh1pVDiLQo/PCHcQgDrBKqnVpQAReAktomIm2eKe2XF++he3IEk7rEdbgA24Uns3x9gA2IEJ7A0CI44s2aWRFesZlx3RK56rXAnQIAX28p5fWrhpARa/eqiwejot6JWzdQDrvdZJK4DVCEQHMfeSv9EaHr9E2O4JvbxvDu6v1sPlBLRqyNS4ZmEmNVAY8SbXbPRHS9Zeb9Z5rvCxEixO8bTdPRjlN+8Hgn8BRFoCgKYOByHb/rrlsInvt+V9DjRdUOrCaFCIvqpw1S1ejklN7JnNgjEbtJwSahGcFt765n2e6D3vPW7K3mlcV7eOaSAfzt0y0+WhvnDkzjo3VFvPD9bs4ekMozFw/kutmrcek6p/VNYUL3JMyq5EC1gztO7MrG/TXtqo2/uWIvA87KQ+gGWTF2TuiewLfb/Nuyb5/U1SNM9hPpSwnDYEpeEvM2B69wj8tNoFGHa95YzcY2LhSRNhWL6ll5B2XGsGZvlV+w3Eptk5tVhVWMzYr5xZS3jwV3B50bja6fV3wshIdQwBwiRBsUVdKkGSAENgma4VHwPFyMqS1JkRaP1YIUFB5s9AmWW0mMsDBjTGemvriM0pYgF+CrLaUMyozhsQv6cfkrK9CNQ+JW/z6vD71Towgze4IhKQVOKTnocGE1qzxxUX82F9Xy3MIC1u2r5uxnl/D5zaOIalHqNgNpdpWM8Eh03cDQdEqaNVyaQa+USDYfqPFWX+es3EejU2P29KGs21tNRb2TvmlRDMiIxmoYHiXUltes62BWJYoUQdvIrCaJphvYTApn9EshNsxCvSGwqgqinZlst1tnQFoU/72wH3//fKv3s8qItfPgGb3IiLSiaTqqqtCoG7R6ZQWzorBJwWUjsnjy23yAdufK3bpBYoQVOwZ5Ke37tg/MjMGsCFo7vaQiaDQEH6wvYdmugyREmJk2LJN4u+mo2uk7Qug64cCMYRm4dY/QiebWvK1ZAo+Ka4gQIUL83mnVfthRVsf8rWVE2kyc0TeFSItyXK67bt1od+0HKKttIspu8guY+6VHeXQsFAG6jpCS+dvKfILlVuqa3fzt0y1cNzaHO95dT0KEhWnDMsmKs3PbO+vRdIM3lu9lR2kd/3duH+LDLXy4dj93vbseh0tjWOc47julB4sLgiuag2f90w1PolfVNP7vnD4s2FbOzEW7KK1pIjcpglsmdKFbQjjK8cqOBMDt1hmcGUtKlJUDNf4ipb1TI0mNsfHy4j0+wTJ4CgqtrdfpsfZ2K7EAqwurGd85jo7Nr349hJkDJ2FaGZQZ45esD/HTEwqYQ4TAk6FuRPLhmiK+3FyCSZGcNzCNiT0SuWF8FxYHEeXolRJJuEkB3RPEBWtxumJkFo9/vdMnWG5lVWEVK/YcZHz3RB/FyOcX7mL66Gz6pHmCt1rd4KY3V/t4/g7KjOGpqQO47e11FFU7ePLbfP50YldaIznDwGfOzGryXGaj7SbKDnstn6w/wKcbDtA7NYoom4n6ZhfDM6IDqjFaBEzulcTnGwO/39P6prB+fzWzrhrCu6v2c8e763FrOuO6JXLrxFxizRI9SMZX0XRGZUbzwTXDaXBpSCGwqdJr2eVSFd5ff4BXluyhrK6ZbkkR3DYxl74pkX6z0rpb4+LB6RSU1VPf7CYhwuKdwz6cuDAzFsUjypUYbiYnIZyCcv/F2KxILhiUhtbSsq0okqJGFxfMXOZj//HOqv1cNSqL6SOyjmvQDHg9nEMOEyFChPhfREpBgyG45KXlPvZNz3xXwLRhGdwwtjPKj6wqmqUgNzHcp+p7OKnRNj+1aSng2rE5CP2QsnKj7um2CkZ+WT190qL46rYx5JfV8+6q/Tz2zQ6f5PLKPVXcM6U7f/xgI9vbBIo/5FdwzrNLeOea4e2+n5PzkrFI4dUmibKonNWvEyM7x2AgUACLMNB+wmC5FRs6b80Yxh/e38DyliSCFB4h0r+c2hOnW+eN5Xv97re9pI4pvTvxxaYSqhtd5CaFt/s8GS3df78lbBKuHdeZf83b4XdMCLjnpO6YjZ/edzyEL7LjU0KE+H0jpaDKbXDaUz/wn693sPlALev2VfOnjzZx4QvLyYoL46YT/H28U6KsPHVRfyxtmmOsqv+fVKRNZXhOHNtKfDOlvVIi+c/5fXlzxlCGd47jnpO6c97ANFo1B3aW1Xv8jgEHggtfWOYTLIMn2L77/Q385TSPFdvXW0ppbmdtsKuSzvFh7DvooGtShN9xw4AN+2tYtLOC1GgbShD9A8XQuXdKD1KjbX7HchLCOX9gOqO6xHP1rFW8s2ofNQ4XDU6NuRuLOfXJH9hf70IN8Fm1orl1zLpOjCKIkmDWddxuHaeU3PL2Oh7+cjultc0YBmwrqeOa2Wt4c9V+dOn/mIpb4/6Tu5OXEsnVY7KDPue1Yztjb3nDVgxeuWwQ3Q77jKJsJl67cnBL5UDSrEi2VTnYV+XghUsHcfaAVJ/zX/phD3urHO0KSYQIESJEiKPDKQR3vLc+oNfx68v2snZ/LYry47a4Qje4dkznoMdzE8NxarpPojTCovL8JQOJMUufYNcAKhoCJ2tbaWx289IPu7j+jTUs2F4WsBPr843FpMX62wc2ODXW769mYo/EgI+dEGFhdNcEXIdFWW7dwEDQ7NZxGeBGtGix/DhMJgWLRcVkClwL1TSDcGHw+Hl9+O6OsXxx8yi+u2McD5zSA7OmoRtGwArrmr3V5KVEERtmZnF+BRO6B36/4AnAT+yZ/JMoff+U6G6dc/qlcsuEXKymQ7/h+HAzz148gLRIS0iX5BcgVGEO8T+PSwj+9NFGrzVDW3ZXNPDCD7u4dlQ2Z/ZN4bONxRxscDImN57uyZHY0L0VXJfLzen9UnihRSCkc3yYx1/SorKrvIF/nN0bKQRPfZtPpygr5w1K55+fb2VXRQPgaTW6ZFgmj57fj9vfWYdJkURaTZiEwfLCqoDV6dbX6HBppMXYqG3yfw9tsQl47IJ+XDBzKTFhZp+Ka0KEhcuGZzEwMwa3rpMZa8dteHyldSlxajoNTg0pIExR+Wx9EY+c24dNRTV8t70cIeDEXslkxdn5Ib+cgvKGgJ9ps1vnjx9uZOYlA49KtEJRJJtK61lxmDBKK08tyOfcAWn4h/AeX0UVOL13CqU1zby8eLd31ksKmDY8k9N6d0JzaaiqpFkHuyp49fJBVNQ72VlWT2Kkhaw4OzYMXELw5sp9PLdwl7et3WZSuHZcDvdO6c4/v9jmfe6Zi3Z7vKNDU0chQoQIcVxo0gw/kay2PP1dPn2nDsD0I57DMAySw8387bSe/O2zLT7zwanRNmZOG4jdJJl3y2h2lNYRbTeTHW/HChiHdRWpAnp1imLprsDdalJAbJi5w/lrw/CMRQXiwc+2Mu/W0SRFWnlv9X6vJdHwznHcOjGX695YzSPn9CHFpqLrBrXNbt5ZtZ+Zi3ZR3ehCkYJJPZL445TuhCsEVEFv9T7WW2Jqq8CnW8xQJA4dvlh3gPzyenqnRHFC90Rswv8z0XUDtUX5OswkwdBB8yQXpBQkR1opqfVv2X5o7haemTqAP320ic83lXDPlO483GbNBU8l9l/n9MEqDH6LS6/i1rhkYCrnDUylst6FqUWPxSYJ2p0X4qclZCvVASFbqSPneEvWC+G5OP9YE/qOaBSCsf8O7v1rNyt8fetozJqOyaQghEDTtICLiVuRPPj5NnaW1fPQmXnc/f4hb1/wzDL/57y+RNtNnPPs0oAWQVeOzPJkezWdP0zIRZWCP3++jU/WB7dguHR4JgeqHSRFWLltfGeMdi6oUpHU6/DFpmIGZMZy01trCLeY+OfZvXn8mx0saWk/t6iScwemceXILBZsL+epBfne2aHECAt3nNiNHaV1bNhfzZjcBE7slcwjX25j/rYyXr1iMDNmrWrfi/r2sUSKo/heVck9n2zxaVs/nEfO6d2huJiuSJp02FhUg2EY9EmLwiIFZjyV/PnbSpm70dOWf+HgNAZmxHj8HHUdXTdQTAqfbC7lr59uCfj4/zgrj/dWF7Fmr2cz17NTJC9c3B/zb/xSG7Kk+N8i9H3/b/Fb+773N7o569klQY9HWlU+v2kUluOgxK1LQZMhWLC9jIr6ZoZkx5ITH4aNQ9ZaiiJagtnA13kpBQU1zZwfRMX65N7J/PXkHuypcgQ9B+DVKwZzy5x11DgCJ8c/uWEkn204wJiuieiGx9Zyzd4qZi3dQ2ltM6O7xPGvs3sjgP8u3BWw7blTlJX3rx2O6bCZH01KCg428si87WwoqiHCqnLR4AwuG56JRdfREKwqquWmOWt99E0squTVKwaTG2PzC5qDoZokn24p58+fbA54/A8nduXMfqnUNrvRdI/Gy+xlheyqaKBrYjiXDM0k0iSQoUqsl9/a3/jPTchWKsRvDikFzUJQVu9k8wGPJUOP5AhP6/NPcPE73Bj+cBqdmvdpO2rtUTWdP5/Sg4MOF1e+usovO1pW18z1b6zhzRlDg/rpvrF8L7OvGkpypAU0DSEVomzt58nDLSpSCq4e036wDKBrHmuP8/qm4DIM3r92OC7d4MKZvoJkzW6dPZUNLN99kIfmbvV7H3e/v4Gnpvbnh50V/OfrHby/Zj8PndmbEV3iCLeo7QbLAC5dJ2jPd6DXbUBTB59/e1ZQrciW9z8i3WNtomkG0vB4QJ8/cyllbWacf8ivoGenCF68dBCmlh9Bo2bw1IL8oI//wqLd3DA+xxswd0sOx6wIcIcW7hAhQoQ4HkTb218T02PtfjOHrT73DU4NsyqxSoGZjhPyUjewY3BGzyRki8CkrnmstaQUNCOo1wya3TphZgWrBNz+1dTMaCt/PzOPv326xWf9H90ljvtP7oHUNNKirQzJignYSXVC9wRcmh40WA4zK4RZVWYu2s3MRf5WWKNz47loSAb1bh1FCN5c4R8sAxTXNPHN1lJO65HoTT4LRfJ9QSV/eH+j97xah5vnv9/FV1tKeeOqITjdOje+tcZvm9bs1rni1ZV8c9uYI7Z4crt0TuyRyNbiWt5auc/n2IQeiZzdPxXFrRGnCoSQgMEd43Nw6QYmKTwaI0G+V0UROA2BZhhYFYkeEgMJcQSEAuYQvypahTyuem0VO9sIbdhMCk9e1I++yRFeQavjhc2kEG5RqQ+iSJiTEH5UioRmQ6e0tilgKxF4FDEX7axgaHasV+yiLc1uHVURhAnPW3W5NC4YlMbrywqDPueJPZM435ZGuDSO2BpYd2sekQ9V8mVBZcCW76lDMnlobuBKKsCz3xVwybBM7v94E3sqG7nkpeUMyIhmcs8k+qVHs25fdcD7xYebsbeIpR0pZgFTeiWzOD9wSxvAkKzYgCJlgWjbIeASgj9/ssknWG5lS3Edry8rZPqwTHS3RrNbp6Le6XdeK7srGkiMsHr/P2N0Z4Sm/xa7wgLiVCQNTg23bhBpUbFK4VXpDhEiRIifA4sUDMyMYXVh4LbsG8blYG1jQaipCrNW7OXlxXu8NkT90qP5v7N7E29R0I9g3XAfdp2TiqTSqXHnexvYsL/G87pUjyjk9WNzUA4/X9OZlBvP2NvHsOlALfXNbvqkRRFhVjC1uEeYdZ0nLujHrGWFvLF8L7VNbqLtJq4YkcUFA9OoaXKhthHuast143KCrn/3n9oDgeBvn24m3GLikmEZ7bZ/f7SumEndEr1BQhPwtyBdVbsrGvhqSykRFjVoTaPJpbN810FOyIk9Yosnxa1xy7gcZozuzPc7y3HrBqO7xBNpVnw+29ZGWc2lIaFd+zO3ItlYWs+LP+ymqtHJgIwYrhiRRZRJeGxRQoQIQkj0K8SvimYEM15f7RMsg6dyeM3sNdQcrlhxHLBLuGJEZtDjd57YFdthfylSlTRLSY0OTVJiqJJWnQxFkawIEAi3ZWNRDZ0TwoIetyjSu/AZBsTZTZw/KC3gudeO7UxShIVwAfoxXPCdBswNonYdYVUpDmD70MrmA7VkxvkKkKzdV41Zldx5Yteg97tubA429eiERZwGjMpNICE8cI56VJd4oq2qdxMgVQWnFLikwGxRaZae78xQDn1XrTTrBovyg1tyvLF8L00tD6x2ICRjaqmaq1Lw73P7EGdRj68f8y+E062zel81F7ywnBMfX8TJ//2BE59YxOxV+9HUkMlFiBAhfj4sGDx6Xl/SYvxVK6YOSWdA+iGHB0ORPL2wgCcXFPh49q7bV825zy2l8Rivzw7gvOeXeYNl8CS8Zy3by0NfbEMLIEIpdB2LrjMkNYITOscSowhUTfeuEYYBqltj+rBMPr9pFN/dMZbPbhjJtIGeimqMReGN6UPJarPuRlhU7prclfP6pxJmVsiO991bnNanEw6nzgOfbWlJjBvIDoS9PMuc50UJIdhf5Qjqdwwea0qbpf0a3I6y+qMWwFR0nQhhcEbPRM7JSybOJFCPsc2+dWTuytdWsaSgkq3FdbyxfC8nPbGILeWNiADfVyCkFKiqPC7iaCF+O4QqzCF+NQgBlY0utpfWBTyu6QavLNnD7eNyjmsLje7WuXhIBhX1Tuas2udduMyK5LZJufRPjfTJiGqqwmsr9vLakkLqmt0oUnBiT49Qhl0Y6DokR1qDPJuH+HAL1Y2Bq5QJ4RaibKpPJV3VdG4/IZfx3RJ5dmEB+6scZMWFcfMJOXRPDEdxH7uRvRRgChIEKh0sboGOT+yeiO7WyYkP44kL+/H3uVu9ldtIq8q1Y3M4qVcy0q0fsS2Crki+3FrGmyv28dTF/fnXl9tZ1VJZUKXgjH4p3DmpKyZNQyiSBgPeWlbIgu3l2EwK5wxMIyvOzl8+2Uy/9GhuGNeFSFV456ma3Xq7QW1tk9ubObdITwvdoiCV7pN7d8KiChbcMRYLng3Sbx0pBftrmrjkpRU+s2mNTo3H5+8E4JJBaaFKc4gQIX4WdN0gXMLbM4axtaSWr7aUEWVTObt/KtEW1acC2aQTcFYXPB1fb67Y6+0gOlIUVfLBmgNB26M/21DMHZO6Esz0yNPhFHzR0d0aFvC0MOuGdzsgNIOuMVbeuHIIjW4dTTeIsCgt4lsadlXy9zPzmPbyoWv1eYPSuf6NNd7H3lPZSPdOEUgRfMrt3AFpWKXE3dKy1tHoWrNbJ6aDNvluSRHHrEdzpFXpYCiKYFNZfUDrT7ducNOctXxx06h2hUiFlDQL2FZaT0lNE92TI0iOtPjMsof4/RIKmEP8apBSsrOspt1zNuyvoVkzfpTyZSAUt8at43O4dmxnthbXYVIk3ZLCMQOiTeDqlpJ/fLGNTzcUe2/TdIMvNpWwsaiGt2cMw+zWGNctEXmYqmZbLhyczm3vrPO7XQiPaJRV4BdMKprG0NRI+l7UHx0DBYFFcMQtyEHfuwEXD0lnwXZ/Ma0dpXXttlaf0D2RpW08qkd3ieNvp/dCbWkvG5EVy9vXDKOqwYVbN4i1m4i0ejYz7YmjtFpRuFye85oNeGDuVjTd4LY567h8ZDZ3Tu6G061jUiRxYSbMuo6QkmKHm/OfX+qTDV+7r5qenSJ54Iw8pr20nLkbi3n3muGk2k1omo7NpGAzKUFnoLPiDs3DmQyDv57ei7OfXeq3WUqMsHDnpK5EKOD6CbohfincQvCvr7b7BMttef77XZw7IPWI59NChAgR4mhRVUmj7lE9tikSza1hRmNAcgRD0qIwDI9bhdEmSSmloKC8vl35k6+2lHHx4PSjun41aQZfbylt95yNRTWMyog67sGUu2VW2qYoSFrWyTbHeiSG8c1tY6hocFLrcBFjN+Fqs0/QdIP5W8u4eGhmwFGvzDg7o3PjvS3ohmGQHR+GIkXQNWBC90Qy4+xBz7GbFYZkx/zowPdYcSF48Qf/ue5Wah1uTyIh1hZ4b6JItlU2cu3sNT7je1lxdl65fDBRiggFzb9zQgFziF8NhmGQGNn+kpUQbkGVHBpMOo60ikENTvF47+oBKoONbt0nWG7L/ioHS3dVMiEnFqsOD52Zxx8/3OR33lWjslm2u5IHz8zjs/XFfLL+AI1ON4OzYvnD5G50CjMHtQ3QNL1NssA4Lh+Dpun07BRJv/Qo1u3zTVi8tmQPj5zbl2kvLffLMEdaVe45qTsHqhvplhxOz06RRJgOzWIB4HITISAuxoqBx19Zc7oDVpaFAKeU7K9p4sM1RWgGnNkvhew4O2v2HPQuwgdqmvjH574iZKf26cTfpnSnSTe4/Z31AVvHthTXsji/gvHdE5m/tYx7P9zI85cMxCLAJj1tfF9vLeP0finE2s0UVTv4aG0RlQ1Obp2Qi116dFx03SBaFXx240jeXLGXzzeVoAjBmf1TOad/qsd26ncULAO4DFjSzuy4w6VR2+QmwRya8gkRIsTxRUpBs5R8tqWUd1ftx6XpnNgziQsHp3u0PjQ9aOLYMDzdYu1hVgVH21wrhPDxyA2E1SSP+ziOLiW1bp13Fu1hb1UjfdOiObVPJ2zCAM1AVxU+31LG0wvyOVDTRIRF5cIhGbx6xRBufHMNlQ2ezrYXF+3ikXP7kBrTndeW7KG4pgmLKjmrfyo3ju+CRfftALMKzxr5+jL/Sn2YWeHS4ZmomsGzFw/g+jfW+MxYW02SVy8fjPUwhycpBVIKPyeUQ24kwb/Xo8WtG1Q1tG+7ebDBiSk5HM2t+wX2DZrBFa+u9BMz3VPZyGWvrOSt6UMw/wJKJVIKhAhsARbi+BIKmEP8atB1g6w4O5E2lVpHYAGuGaOzUQzjiFt5j/V1BEJVJcu2B59zBfho3QFGd45F6joTcuOZe9MoZi7aRX5ZPSnRNs4dmMaeigYemrsVsyKZkteJR8/vS9ekcEx4qpeBAvWfGrOu8ezUAby9aj+vLd1DVaOLzvFh3Dwhl5QoK29fM5znFxawYHsZihCclJfMTRNy6RRuIVoBER/mWdh0f3Erw4DmIIJqbXEpCre9s47luw+JuLyzah99UqP493l9260A1zpcaIaBw60HbekH+GBNEX84qRvzt5axqaiW4pomUiItmNw600d3ZnB2HLOXFVJS20SXxHD+c35fnG6dPp0ifQRfdM3AisH0YZlcPDgdALsi0NzaT5HL+VVgMwf//AHUo1A8DxEiRIgjpUlIpr64nMI2Fo07y+p5fXkh710znDiTDLpuG4ZBZpy93fXj/EHp2BWB+yicDKwSpg7JCOoFbVYkPZIjj+t6rkvJl9vK+Esb8a15m0t5Yv5OXr18MJ1j7Tzz/S5eW3qoalzX7OaFRbtYUlDBw+f0Zsas1Z7HMuDOdzcwqks8T1zYj6QIC1IIj16LpvlV5IWmc8O4HMIsJl5bssf7WealRvK303thVQXCqdG/UzgL7hjL11tLvT7Mo3PjfbyppSJxAAVlDeyqqCcnMZycuDAsCjS64bPNpRyocjAgM4Y+qZHHpeXZokgGZESzpbg26Dmdom389YvtjMyJY1h2HDZ0NM1AUSVvL9sb1Plj78FGiqqbyImy/KQWqG0RiqTJgF0VDdQ1uemeHIHdJDHp7Y+XhTh2QgFziF8VVgyeu3ggl7+y0s926cLB6WTF2o5IzfKnoqOZXinwCkpJTSfJIrl1Qi5fbi6hot7J/R8dUmJudut8tK6I4hoHT5zbB0U/8pne402r0Milg1I5b0AqBh5FQLNJMmP2GnZXNHD+oHSevKg/ugGLdlZw57vreWbqAITe/izWkSBVyaxlhT7Bcisbimp4dckezuqfGtQGY2zXBEwSmjv4bVQ1OomwHrrsNTo19lY5yIqx8fSCfGa3mXPLL6vny00lPHx2b4QR+HFb58wAtN+xbZRNwnkD03j++10Bj6fF2AgzK8ddwT5EiBD/20hV4YVFu32C5VZqHW7u/XATT53fF7WdNcgC/Onk7tz3sb+nb1acnck9k/wUsDvC7dYZmhVLz06RAYOwe6Z0wyKO35ogBDTqBooimX3VUHTDoKrRyetLC1lVWMW1b6zmw+tH+gTLbdl8oJbKBiddk8LZUXpIVHXTgRqSI63YdB0MgyBLHQBOzaC+ycXMSwdiGB7tk51lddz57gaGZsdy2/gcpKZjxeDsvGSk9FSJ3e5DiXSpSPbXO7n81ZVUNR6q+MaFmXnxskH8fe5Wrz4JP+wmNszMW9OHkmCRPypoNtwa147rzJDsWKLtZpyaztwNxXy+sZhmt07/9Gh2lNbxwZoiPlhTRHy4mTkzhhFrErgM/LrvDmdLcS25MYk/S8CsS8nyvdXc88FGGtt0053QPZG/n9HLt8svxHEjFDCH+FVhaAZdY218deto3lq5j9WFVcSHm7lyZDbp0VbUX3BD7nbrDM2ObfecCwaloxqHOsYNA8xSMGflvoALPngUo83i+LRX/1g0t+4VvZBSsKuykbV7qwGY+f0uZn7ve/6u8gZyo48uqyqEwJASp65jUgSKbuDQYXaAVq9WPli7n1evGBIwYI60qUzulYTbpRNhUTEpImgmuE9aFAVlDQDE2E04NZ1vt5Zz9oA0n2C5Lfd9tIkFd4zFehzbrRRFAOK4tZv91OhunctHZPHJ+gN+qumKFPzf2b2x8ZNMSoQIEeJ/mCbD4J1V+4IeX11YRZNuBBXXAkDTmdgtgbTLB/Ovr7az+UAt4RaVCwenc8WILL/24yPFrOu8eOlA3l29n9eXFVLZ4KRXSiR3TupG98QwH/2TH4tQFYoqGnhrxV42H/AE6Bmxdm6e0IVBWTEsKahk0c7ydh9j3qZSzuyXyiPztqNIweReSdw9uTthouOuPalKZi/dy+zlewOulYWVDVw3NodW7W5XkGq+A8HFL63ws/GsbHBy2SsreO6SgUx9Ybn39oMNTi57ZSXvXzPsR7U8a6rCwu3l3lb1cIvK2QNSefWKIcz8voBrx+VwQxthtIp6J9e+sYZZlw3CIulwXDA50vqzBKlSCg40Orl5zjq/Y99uK+NBk+QvU7ojfyN7i98SoYA5xK8OQ9MJA64ZnolzaAaKBKkbv2hluRW7Irh0eAazlvovGF2TwumfEY12WKbaJuD5SwZy4QvLqG70naG5eEgG3RPD0dozDvwFUFUFQxV8HsRuqpUP1xbxpxNzj6jlGkBTJKX1Tp77fhe7yhvIirNzzZjOJERaqGvnMZpcOgnhFoZlx7KsjWVXVpydZy8egA2PSJq1pRL65orAG6wrR2Xz8BfbvP9+d9V+xnWLZ1Y7Htdu3WBxQSWTc+N+vGCJImk2YGNRLY1OjT5pUYT/Rtqo4uwmPrhuBK8u2cN7q/fT6NQYkRPHHZO6Em9TfzPBf4gQIX476AY+VbRAuDQdOhgJUTSdPolhvHDxAHQBwvCsF7pbO+bOLsMwMLk1Lh2Yyrn9U0EIhGF4/J+P4/VQSkFxg4vLX17pMxu892Ajd767gf87pw+1DhfODtYnTdc5q18Kp/RORgpBpNWEzSSpqXF0+BocmsG32/yFQVvRDSgor6dvYli7Y23f7Cj3C5ZbqXW42V5SR15qJJuKDlXtS2qb2FftIDfaekwVXE2RPLtoF68tObTO1ze7mbW0kNWFVfznvL5c8tJyKup9nUvyy+qpdWrEmyRXjMji43UHAj6+zaSQlxr5s6yBbiH4b4szRSC+2FTC3ZO7YQ96RohjJRQwh/jVork1FADdXzH6l0JqOtePySE3MYKnFxRQUtuE3axw/sA0rh7T2Zupli3zJdVNbppcLhIjLXx582i+21HGgu0VxIaZmDokgwS7CeVXFCwrisSB4P31Byivb+4wn3ukc6tSCtzAJxtL+EdLwAqwvbSOeVtKuWNSV26dmMvj33gWApMicOuGN4i0mRQsiuCx8/rgcBuU1DYRYzcRaVGxtd2cuHVuGt+Fuia3jzibzaRwx4ld2VRUS3ldMzeM70JcmJl5m0u4bWIuX20OvhEAqKxvbtdzUUqBonjm6IItmpoimbe1jL9/vs1n3GB8twT+cWYe6m/AkinObuLq4RlMG5oBgEmAavw6klkhQoT4/aHgsSMKpk0RblGxmxQ4gllhX9HMI7rLEeFu05kFx7/TxiUE//x8q0+w3Jb/zt/Jfaf0IDOu/TDpjH4pWDFQDQMMA1sHomWtyJZZM4va/vkWtX2RM0WRh9qtg7C9pI6MWLtPwAxQUN5At2AK1h3g0AyfYLktmw/Usm5/NXFhFr+AGaCivpn4GBtJ4Wamj8r2U9pWpeDpqf2x/EwZb5cO6/cHbw83DCirbSY70vyrT8L/1ggFzCFCHCWKW+PUHgmM75qAZhgoQmCVAqM1U61INpc3cud7673zyiZFcNHgDG4Yn8OJXROQQuB2ub0iGL8GhBDUagbnzVxKeV0z0XYTj57fj1eX7Al6n/MGpuEMkv2XUuBEUOfSKK50EBtuJinKGnDz85+vd/DpDSNpdLqZ0D2J+mY3VpPCwQYnLyzaxcCMGGxSoLs1IgRERls8i4Gu+21OVLfGn07qxu2TurK9pA6bWSEjzk6tw01lg5PhneP4cO1+nl6QT7/0KOLDTIzMiQtoq9XKgMyYgIGwVARNCHaWNbC9tI7MWDt5KZFYhYHRpi1cUQQ7Dzb6iLW0smB7OY98tZ17J3U9ri18PxW6W/exX/n1v+IQIUL8VrFJuGtyN6bPWhXw+JUjs7DJ4xf8/hpxG7C4ILhLQVG1g0ibiSibicm9kpi32d/uKi3GxrDsuKOe1RZC0Ijg8a93cHLvTt528MOxmRQy4sJwGAaiRTzscLcPwzDIiG0/qE+IsLCvyn98LTPWfkzBsqpKlnYg1jpvUymjcuMDJmWSIq0YhoGqGUwfnskpvTvx0uLdlNQ00Tc9iqlDMohQfr4foBAQYzcHDO5bCbeqoWD5JyAUMIcIcQy4XW2ChjZCGUIIypvcXPHaSh8vQpdmMGtZIULAjWOy0dpRG/6l0KTgwU82U94S5Fc3uiiudjCuWwLfbfefjRqTG09qtA2j2d+qQUpBA4Ib31rLhjbZ0IxYO/84qzePfr2dNS2z0dBi+yGhrsnNJS8t984gp8XYePCMPHomR6C7DrVxdbQYKJpOOB6LMCGgWUje3ljMnJX7qHa4sJkULh+eyTVjOoPTzeReSTw+f2fAVrGsODuZMf5ic1IRlDZpTHtphdeqAzwVj5cuG0ROtNWbEGk2BI9+HbyN6pP1xdw+sSvW9t9Wh6iqpEEHp6ajKhKLAEU3MEKrZ4gQIX6DuN06ecnh/PW0njz85TaaWiz7FCmYOiSdqYPT0X8D3Tk/Filo10s6IdyC1dD526k9yYi188byvTQ6NaSAiT2SuO+UHliN9me1PT7XgAAMsEto0uH2d9ezck8Vs68aSk5COAXl9X73/dMpPXh58W5eWbyHcIvKRUPazIe3vHCnU+P0vik89k3gtVAKGJUbz7PfFfjcHhtmJivOfsyK48Eq84eO68gAHWS9U6MIUw8Fw4qukx5m4q9TuuPSDcwtSfyfM1tjl3DFiCz++JG/ZSl49kyRFvX3nUH6hRBGaCfVLrpuUFnpf3EI4U9UlA3giOZhfq8YiuTPc7fx5ebAs79mRfLtHWOw/AoriQ4hGfef73wWZatJ8tTUAazbV82cFXupqHcSG2bmihFZXDA4nWirGvD7dimSS15eya6KBr9jkTaVF6YN4oKZy7y3XTc2h7K6Jt5fU+R3vlmRfHHLKKJkx4Fye8iWzYBbMzApAqsEw33I5uJAg4sZr6+mpPaQqFWPThE8d/FAwoXhl912KpJTn1rso/TZikWVfH3bGI/yKNAsJZMeX9SuLdNnN44kyaIc8/vTFMmiXQd57OsdHKhpQgoY3y2R+07pQZTy430aQ3/f/1uEvu//LX7137ciaQZ2VzTg0gy6JIRjlRyXrhyTScGhGRiAVRG/moS2VCUOHTQDHpy7lW/+v707j4+ivh8//vrM7Jn7hEBCICTc4T4FBFFARKt4n3hLVbxrf9baVr9tbbVawXoBggdaq60KnoAiCiq3CnIHwn0HyEHu3Zn5/bEksmQ3B+TO+/l4+GiZmUxm95PZ2ffneL83VRw5BugYF8rbtw7EfuK9UDadItOi2GPitGm4Nd9z1LIsvN5fMihHRbkpKDUoKvai6RqLthxm+pLt7MspokNsKJNHpTGgfTQjn/0Gw7RIiHDx/DV9+GLjIT74cS+5RR56J0Xx0JjOrNp5jBcWbfO7rs6tw3jjpoHYT1p2ZmqKL7ce5Q+nBHxKwZOXpPPzvlzeXfVLDpJQh86/bx9MuzDHaS/9yTYsxk79Nuj+Jyek88GPe/068ZNjQnjr1kEBn/0NzWvTuf+9Naw8paSZy67xn9uH0D7cHvB53+jv8QYWGxvmW34QhIwwC1GLSixYviP41KlSw+RIfimJ7sZ363kMs0IPdrHHZNLs1ZzbtRV/viSd7m0isClfL2eYK/Br0DTFnuzigMEy+BJ7rN6VzZCOMSzffgyl4Jyu8Vx7UgB9slLDZPqS7fz2vDQ4g6Rbptf0jeAqwPQvn2EaJm1DbXzw6yEczi/l8PFikmNCiHTacFLxganrGuv25QUMlsFXMmze+oNc3btNebbQ2DAHe7ODP6jcjtMPltE15v58gKfmb/nlNVnw1ebD/Lg7m4/vGVarWb6FEKJeGb5ZXd1iQlAK32jjGca1mqYo0TS+ysjiv6v3UmqYXNAjgUv6JBJyogZvQzF0jc83Hua5hVtx6Br/urYv323LKh9hL6MU/OWSHrgVlM2PsrwGLsClg1eDYyUGX2zcj9c0Gd21NXGhdkDxxabDvL18N9cPTubTn/cz/6Sp3FsP5/PAe2u4blAyn94znKz8EjYdyOPRD9fRo20Ef7u0JyEOnT3ZhZR6jQrBMkDGoXxW7jrGyA7R5QkzNdNiTIvb8v8AAGHWSURBVKc4Bt5/Nm8u28WOIwWktQpl4pD2RDhsDEqJIdJtZ39OEQM7xHBul3jc6szyZIQ7dMb1aO33+sokRbs5p0s8Q1NjWbDhINmFHoalxZIaF4rL+uXZXxZINYbg2W4YTL2qDz/tyeGNZTvJL/EyPC2O6wcnE6Y1neobTU3j+9YuRBOmsAhz2ipkwz6Zy34GgVEdcto0okLsFa7dtGDhpsNsPnic924fjMM0Ky23q+saKyrpNAD4aXc2nVqFs3z7MSLddg7nlVQ63ez7bUe575xUKi/scGZMw8KBRbtQG8lh4b4HY5ByI7quWLs3p9Lz/bQnhyt7twEgVPdNo/rLZ5sCHts1IRz3GayDKgGmBsmcmV3o4T8r93Db4OQWMXVRCNF8WZZVa+szizWNG19b5TfFeP2+PGZ9v5P/TRpClE01SICk2zQWbM7yy3nx0tfbeO3mgUxfvJ0lW7OwLOjbLorHLuxGu3BHwAoOhk3nqflb+GjtL9mdn/9qG0NTY/n9+G48/L+1hDhsuBx6wGAS4J2Vu7mwVxt+/dYP9GgbwR8v6s6cn/Zx94kSTD0TI7m4T9ugr+XdVXsYkhzNyd96NNMk1q54eFQqpZaFXfmqo1iGQaQGdw/rgIUFlq88VaCnolKArp2YGq1hVVJ72GaYPHFRd9qdMlX9vG6t+eP4brhMEwcW1/Rpi1K+ZQCm4Xv2W7pGKbDlYD6lhkn3NuG4NNWgZZssyxc0D02OpF9Sb0zLwqUrTK/plztF1C4JmIWoRSG6xrUD2/HMFxkB97eJdBHu1Kk04mwgIRr8ekRHnj5plPJk95/XiRCt6kFey7KICXVUekyk214+PTk+3EnbqMpX74Y4dKqXj/vM+RKIVv7QMU2LdlUkL0mODkFXvkEQr8dkfHoCn68/wA+7cvyOi3DZmHp1H1ynWYtbKdifU1xh5OFkn/58gOsGJNVph4MQQjQVmk3j9e93BlyPe6yglMfmrmfKFb2wNcDMnEITnjtlne93246w9fBxrh2UzL3nptEq3ImufPWxSk1w6MpXseBEgG+z6cxdd8AvWC6zNPMo/1m5m7mTh/Huyj18ESRYLrMkI4tBKTEszsji9tmrmXZDfzYfzCPjUD63n53C9MXbg/6s58RU91NZ1i+VUE59cpWWVl6m0tA0jhV7ee37TLYfKSStVSi3Dksh2qGjndTpXDalPb/UwG4a3DK0A7cNS+F4sRenTcOp+XJ8lL1np9aONnSdj9cd4NkvMsorWyjlS3b60Hmd0Bu4A9rrNcuDONMrgXJdk4BZiFpkeAwu7ZvIhz/tIzPLf0qyTVP884pevjJIDXR9lTG8Jpf2bsvBvGLeWrarfMTXpikmj0rl7NSYatUh9npNRnSKrzRJyfWD23PkeDHXD0qmVZgDlAo4uv3L8cmE6ApvI3koeL0mZ6fFYddVeYKyU101wD+DuN0weOHqvvy8L5fZy3dRVGpwbtdWXNq3LW5qt26nEEKcLqUUdruOUidG+BrBNNTaVmzht1b2VMt3HKPEtBrkS3Khx+BYQcUsyIfySpi6cCtHjpdwYa82/PWzTWzYn4dScHZaHI+N70asQ8MyLQpMixlLdgQ4u88HP+7lol5tuO3sFP4RpJO8TJHHKC8haZgWUxdmcONZHfhpdzb9k6PZeMA/c7ZD1+icEIZCcXHvNr6p4bX0eDN0jfmbDvPESaPvP+7O5r+r9/K3S9M5Ly0WzbQwbDr/+WEv05dsp+DEczitVRjPXN6LpDC7bzaXQdDuEJtN46d9uX5lMMEX6P939V5iQ53cPkRmbbUk1SvCJoSoNqdp8tatg/jduC4kx4QQF+bgV73a8Nm9w+kU68aorSdHHdC9BncPT+Gb35zDtOv78erEfnz9m5Fc3z8JvQbX7VQWf7yoe8B91wxsR5twBwPahtMu1IbDNHFh8Y/LexGo1HHn1mGM7d66WsF6fXIqixeu7UugHBFP/Ko74Tb/HWXTqAYlRjDl8p68fE0fru/XFqdhntH6LMuCtlEuXJXU1Ly4dxtCdPm4F0JUzqtr7Cv08tw3mfzty61sPFqER9crTYbTFJkWAasinKy0gTox9Ure637J0QzoEMN1M1eUl3iyLFiy9QiXvPw92V5fWSfTssjKLwl6nmKPicew+PDHvVzQM6HS6xmcEsvGk8pJbdifx5COsTx8XidslsUlvX1Tsm2a4sExnXnrtkFc2LMN43u2YVhaHCW12N9S6LX8guWTPTZ3PUUmKJvG2yt389zCreXBMsC2w/lc8+pycr1WwO8aJysy4dkvA88UBHhz2U4Km2FHkghORpiFqGWmaWE3Da7q3ZaL0hMAhVNXOHVfp6bHaNw9kpph4sZXkgk4rVIOmmkxvlsreidF8tLXmWQcPk6bSDd3jehIt4QwdK9//WTTMOndJpyPJw9j6sIMVu3KJsJl5/pByVzSpy0hCgo0DQtfzq4QTdW4nmRtU4ZFvzYRLHxwJO+t3sPGA3m0jwlh4pD2RJ4yNexkhmGi4eutrK3vYy4FD47uzN9P6Q0HX0mOawa2w5CecCFEJXJLvDz+6Sa+2PjLFN13V+2hc+swXr9pIE4VfJ1obbHZNIpNMCxf2R7dqpssxRq+EcdthwNXQQl16LjtetC8EpqmQNcwTN8a3Nrs0HXrWtDyTTcNbc+zX2wJ2A7FHpNnv9jCny/shmb5KlLkFQXuFLBpCl1TTFu8nQUPjKBdjJs9x/yTUnZNCGd4WhxxYQ6OnBJ86wpsJ96bRy/oQkKki97toli46RBTTgo0n56/mQl92vL/xnXFZprlWc2VrlFsQVZ+KRYWrcKcfpUrAnE4dD5auTfofsuC+RsOcnm/JF79NvDoeonX5OXFmTw6plOlw94mvqRlwRSWGhSVGrhszasjSQQnAbMQdcTwGrg1RYlSbMkq4LvMI0SHOBjbvTVuTaHXYp08pRReTVFiWhSWGoQ4dJyawnYGNXjP9EuKZpi0D3Pwt4u74zEtbErhUAQdYdcMk7ZuG3+7uAeeE786RFOUAkt2ZvPi19vYdbSQpGg3d45M5ezU2AZfQ6RMk3AFdw5t73uNJ+oyWvVcA9HymlzSsw3xYQ6eW7iVvdlF5fU3H72gKyGc3vpoIUTL8cnaA37BcpmMQ/k8OW8TT1zQtVbKOAXjtems3JPDjCXbOZJfSrc24dw7Ko2EMEetJ1kK0eA3Yzpz14nkVae68awOhGgqYLzs1TV2Hiti9vJdFJYajO7ainO7tsJdS5m13Ro8dVk61766okIN4bgwZ4XA9mQLNx3mTxd2I0RTTBzcnpdOqWlc5vweCXy95TCFpQZg8c8r+zBlYQbLMo/So20Ev7ugK/tzili3L5dvt2bx9u2Dmb/+IK9/v5PU+DBcugYnOv91j8Gdwzvw/poDfBigNOTcNftpE+mme5twBraPAgsWbsniqflbykf53XadB0Z34pKeCehB2lopxd7swkrfu305xeSXeCmpJBhevCWLh85LqzSnh1IQ5rRVOgvBYdMIPqlbNDcSMAtRQ7ru+5Cs6sGoaYoCSzHxtRXsOvrLh/zf523moTGduapv26APhprQNEURij9+tIFvMnzZM5WCkZ3j+evFvnITDbUGzTQtNCzfg8mqOmjzOx4oQePFxdv598rd5cdkZhXw2/d/5pLebfnd+Z2xNYK1v16PgaL8+0OD0A2DUR1jGHT7YDyGha75ak1rZtV/q0KIli27yMP0JYGDK4AFGw7xu3FdcdfR7/fqGn/+bBPz1h8s37Yvp4iFmw7zj8t7Mio1tlaTZXq9Jn0TI3hkXBee+zKjPBdFWVKnm4KsTzVsOr+fu56vt2SVb1uckcXUr7by3qQhRNdCZm2v16RDhItP7xnGM19ksGRrFnZd45I+bYkPqzx1o2n5kmwZXoMbBiezauexCvV601qFcePQ9tz+xmp6tI0gu9DDc19sYUTneB69oCs2TWPirBUcPWkd9YtfZ/LQmM5MHpVG14RwDHwzAMpea4HHrPTv552Vu/nnVb3ZcDCfUq/JHz7a4Le/yGPw93mbiXTbOb9zLN4ASSwNw2RwSgwfBAjKywzsEI1ZxSCB06bhm6sW/DiXgmsHtQs6Uj2wQzROXfmKZIsWQQJmIarJ0DSKTIu1u7Kx6xo9EyNxKnAoX1ZLwwJNgVP5Rh5LUNz33hq/YLnMc19mMKB9NF2iXWf8cC1RGje9vtIvyZhlwTdbsrjpjVW8dcsg7E1wfFEpOO4x/ILlk320dj+3D0+hjVuv82mCTYXX66tV6lScSEMq/d9CiKoZli+pVND9pkVRqYG7Dqagappix9Eiv2D5ZH+Yu4FFD42o9Sz/umFyea82XNSzDZsO5uHxWvRoG4FLVwFnL9lsGgszsvyC5TJHC0q5/701vHp9P+y18alrmsQ7df52cXe8J9YiORWUmL5qGwdyiwP+2MjO8dhP/H+7YfD81X3YdOg4c3/aj2FanNMlnqgQB/f95yeOl3iZNKIjC9Yf5P+N68o1M5bTPjaUv8/b5Bcsl3nuyww+uOssFm46zAuLtvL6jQNwnHitXtPiSH7FnymTW+TBoWvkFXv450lVRBIiXFw7OJm+7aKwLIv1+3MpNgMHJ16vydDUWMKdNo4HGPmNdNvpnxwNWMSGOgK+BoAr+icRolXe/2J6TW4Z2oFFmw9XSOAaFWLn75f2xGFZAUteieZJAmYhqsGw6fzjiww+/OmXnk2bpph10wBKDZOn529h2+F8bJpifM8EfjOmC1gWa/bkBD3ni19v47nLe6KfwcNV0xTbjuRX+EAvk5lVQOaRfLrHhtTKKLPNplFogtey8BZ6fCWy6ojdrvPJj8GzmAL878e9PDwqlZIqkrc0d5qmsNk0LKtiaQwhhKiKrnzBy8G8wIGYrinfml6r9kMES1O8sWxn0P2lhsmPe3IYnhxV69UElGHiAvonhKMUvtk4QUYNC02Y+V3wzNMb9udRbJjYa6lPoWzGVVmRRgtw2zT+eGE37n7npwrHO3SNR87v4isvha/P1OY1SG8TQW6hh5U7jjF9yXa2Hc4n1KHz2IXdyMzKZ2CHGNpHOvj8vuHsyylib3bwKd+vf7eT2HAnu44WYgClmgYKdHwjt8GmQttPZNmOcNnZccT3feX8HglMHNKe6UsymbowA00pRnWJZ0z3BGLsKmBNYTfwzh2DueWNVX4BeqtwJ2/cMhAXFij426Xp3PnvHyt0preNdHH1gOrl9ChL4Lo4I4v/rt5LqWFyfo8ELuvbFjcWpowutygSMAtRBc2mM2v5Lr9gGWBM99ZkHM7nyc82lW/zmhYfrz3A0syj/O/OoTh0LWimze1ZBXhNizMJOe12nfkbAvfKl/l8/UF6j+4UMKjUbDpFJ64vRFeVZvA2dI3FmceY+pVvjazTpnF5vyQmn5OKyzLrYNq3Ir+48kC4qiynzZ12Yo38zmNFLM08QqTbzuhurQnRVNCkY0IIcapot527Rqby+CcbAu6/ID0Bl0ad1EQ0LMgrDlxSsExuoafKzMZnojrPL4vKR+EBCkoMwl1115FseE36JUby6sT+/PXzTeUz2HonRfKXS9KJd9kqVF3QvQb920fTLiaEwR1jcdg0wl023l25h/hwB11bhWJ6TGIdGuuCjMqW2XG0gEEpMbx122BeX7qTD37YS36Jl0fGdeWyvon8J0iprnE9ElickcU5XeLRNUWH2FCuHtiOW95YWT4d3rAsFm46zPfbjjJ38lDi7FqFdjENk7YhNj66eyg7jxay82ghHeNCSY5241ZWeYdKnzbhfHDnWfxj/hZW7jxGqMPGlQOSuHVYim+teTXe67IErhd0ieectFgsC1wnvifJ07XlkYBZiCoUmRazl+2qsP3aQclMDpIw5Eh+Kf9dtZtx6Ql8vHZ/wGPaRrnRleJM5hNbFoTaK7+Nw5y2Cr9C0zXyTXhtyXa+3HgIm65xad+2XNW/HW6sCr34lq7xzuq9/GvRtvJtJV6Td1bu5rttR3j3jsHYzdr9JuX1Gozu1orXl+4Mesy4HgmNrtxUfdE0RSGKm15bxfYjv8wwePLzzTw4uhNX90uslTXyQoiW4cJeCazYeZTP1/l3wnZvE86j47qimUadLPGwa4phqXEs334s6DF92tX+6HJN6fjKHP64OyfgfqUgwm2vk1F4v+swTQa0DeedWwdRYphoSuHUFE5V8dkNvsAvTFfoEU6yjpfwzZYsQhw6952XRlyoA/NEZ4VhWLSLDqn0d/uC7hhufWM1+3J+GYl+/qutvH7zQFbuzK6Q3bt9bAgTz+rA7W+uomdiJGO7t2ZIx1ie+3JLebB8siKPwd8+38Q/JqSjBfiLMw0LBxZdY9x0j/PNnjNN/yBYMy3ahzmYcmWv8uDWpcD0GjXu8/F4jPJgyfDKqHJLJQGzEFUo9BgnMkn+wmnzjRwHWkdT5uO1B/jdBV2DBsw3D22PXVdn9Gz1eLxc2jeRVyuZJnZpn0Q8nl+uU9MUR0oMLp+2zG+E9vmvtvHuqj28/+uzcJ8Sx5dY8HKQbJu7jxXy9ZYsxneJq9Xg1TQtUmJDg5b+aBfjpkebCIxGXqarrpSieOC/a/2C5TJTFm5lQPtousa4GyzhmxCiaYlw2vjjuK5MPieNuWv2UewxGd8zgfbRIThMs85yRRgegwl92jJtcaZf3dwyvRIjiQ21YzVwwOxUcP95nbjp9VUB94/u2qrORuFP5fWaOPDlUAELzMBJNTVN4VG+ChqaUgxrH8VZyVEowO32rXbOPREwW5ZFmwhnpWukrx+czLz1B/2CZfCVWbr/3TX844pe5BSW8sGP+zAti3O7tiI1PoyH/ruGcJedge2j6JMUyYG8Ytbvywv4O8BXV7rUAlcl74EvUA7+R2maFraTAm7pPhZnQmvoCxCisfNlVPSnqpF52mua9GgbQVyYo8K+y/olUuQxyS05syerZUG028alfdsG3D+hT1ui3f4jzKVK8eic9QGnMx/KK+HFr7eB/suUMk1TbNifV6G8xcne/2EvRXUQmDktkzduHsjIznF+0/HO6hjLv28djKuOe/Ibs0KvyQ+7soPuf+HrbXiQGpFCiOqzmSatnRr3DE/h4VGpdI5yYTeM0y5PWF0hyuLdO4aQFO2fh3tIxxheub4fjkbQ8WcYJl3iQ3l4bGe0Uz5a+7aL4v8u7nFa5SKVUtjtOjZb7U7lNnSNbTklPPTBOiZMW8Yd//6RRZlHKTYtSksDd/a7lcVrNw0g0m2vsG/yqDRcdp33fwhcC/lgXjE3vraSbm0ieOqyntw+PIWf9+bwzIIt3DY8hf/+egguyyJCh1bhlYXCvu82ksxTNCYywixEFZyaYlhqLN9nHi3fVuwxCXXacNt1ioIkWRrXI4G1e3J4/pq+bDl4nB92ZRPusjEuPYGth/N5bM46HruwGxO6tzqjkVmbYfLI2C6c1TGWVxZvZ/exQpJjQrhrZEdGpMVVyPZZYlj8uDt4oDV3zX7uHeVfo7CqMg2+YFrhcOgo5ZvCVBsjm6Zp4VImT09Ip8S0KCg1CLHruHRfjemWOnqqFGTlV76WLjOrAI91ZmvkhRAtj2URNKCqK6ZhkRhq473bB5NT7CW7sJQ2kS5CbBp208SyLGw2HQPfSKll1EXejKrphskVfdryq15tWZp5hPwSgyEpMcSG2nEYNRuFV0pRqikO5JWwNPMoYU4b53SJr5UcFKam+GzDIf5yUo6VI/mlPPDeWs7v0ZrHL+wW8OcMw6KVy8bn9w5j2fZjLNt+lIRIF+N6JLDzaAGhDr3SGscAeUUeojTo1SqMTud1AqVwa75lVuXTo3WN5JgQdh8LXFe5V1IktsorPwlRr6oVMB88eJCZM2eyYcMGNm/eTGFhIbNnz2bw4MF+x5WWlvLmm28yd+5c9u3bR1hYGOnp6UyePJmePXvW+HwAEydOZOXKlRW2jx8/nilTpvhtKygoYMqUKcyfP5+8vDzS0tKYPHky5513XrXeDCECsVsWf52QzlXTl/sFKXN/2scdI1L411fbKvxMmNPGrcNTeGreZuatP0jvpEi6JESUT1vKLfJNgfIaJtTCKKDuNRiTFsewjrHl5QVDNIU3QCbIQGuGTlbiNf2eUabpK7VR2XLrX/VuQ7FhMmvpTvJLDcanJ9ApPgxnLSQDsywL3bAIAULsvhrYGFaLfo5aFsSEVpy5cLLEWlgjL4QQ9cU4sTa1lUOjtdPtG9U2TDRdowhfSacvNx0m1KFzw+BkkqPd2OpxmrbNpqFp2olnksG4znGAwjAMLMOs0TNJKSjRNO546wc2HvhlavKfP4N7RqVx/YB26Gew3KjEUvxt3uaA+xZsOMStQzsQF6Sms2n4pnuflxrD2M5x5bMLksOdeC2LkZ3jg44yO20arcOdYJp4vYavxJVlcWqMHaIp/jC+G5Pe/qHCOZSCP4zvhkvVy+x2IaqlWgHzrl27+Oyzz+jevTtDhgxh0aJFAY97/PHHmTt3LpMmTWLIkCFkZ2czffp0rrvuOubMmUNaWlqNzlemQ4cOPP30037boqOjKxx3zz33sHHjRh5++GGSkpKYM2cO99xzD9OmTWPkyJHVealCVGCaFpG6xty7hzJv/UE+X38Am64xpGMMQ1NjaR3uYupXW8k67gumh6TE8OdLehBhU4xPT2De+oOs3ZvL2r25Fc49olN8ra3B9XoNTg6hgnUCh9g1okLs5BQGzkrarU14hVFJl6a4flAyb6+oWBM5PtzJ0NQ4zpuypDw2e2/VHlLjQ3nzlkG4lFnn0/laolC7TpfW4Ww5dDzg/rtGdpQvHEKIJqnsmaFpimyvyTUzVvh1WH/y8wFGd2vFXy/uEbBmcm3SdEURiiWZx1i3P5eOcaGM6tIKp2WhTjNg92oaj3203i9YBl//5guLttGvXRS9W4edVqIzm01j+bajGJV0Vs9evov0xEjsp84tP/kavWaF2W9K+Z4tn6zdH3Ck+dZhHXBqVLlg2Os16NUmnFeu78dfPt3I/hNrptvHhvDni3vQPtLV4EnehDhZtQLmgQMHsmzZMgAWLlwYMMD1eDx88sknXHTRRTz44IPl29PT0xkzZgzz5s3j3nvvrfb5TuZyuejTp0+lxyxevJilS5fy4osvMmbMGACGDBnCnj17eOqppyRgFmfEONHjenmv1lzYozUKcGrg9RiM7xLPyE5xFHtN7LovW6XdsvCWGvRPjqZDbAg7j1acdjS6WysiHDpWPZf/cWsw+ZxUnvw8cO/z/zu/S4VASzNM7jknlYRIF69+u4PcIg+aglFdWvHbcV247z8/VRjIzMwq4E8fr+fvF/dAa4b1CsvqHjfUQ92tLF66ri/XvLrcrx4lwFX9k+jdNkK+cAghmrQSFA/+d03AJSgLNx1mdLfWjOscV2f15zVdset4KRNnrfRLSGbTNvHy9f3o0yb8tILmEtPimy1ZQfc/v2gbr1zb5zTXTSpyiyqfUp9X7MUwTexazRbtWBZE2jTemzSE//fBz2Qc8iXkDHXo3DGiI9f0T4JqdmDopsngpAj+N2kIhR4DpRRum0aIRoutfiEar2rdi5pWdW4wTdNQShEeHu63PSwsDACHw+F3bG378ssvCQ8P95t+rZTi0ksv5Y9//CPbtm0rH+EW4nR5PWb5TVP2ee71GjjxBdC+CMoq71x1WiZv3zaYp+f7pmZ7TYtQh871Q5K5dWgH9Dp6yFfGY1oMSonhjrM7MnvZzvJe4nCnjUcu6ErXVoF7tXWvwXV9E5nQuy0lXhOnQ8emKX791g/lD81Tfb0lixIT3AH3Nk2GrlHgMVmZcQS7rjGwQzQuTaHVc3BqGBYxdsVHdw9j6fajLNp8mEi3nesHJRMXapeSUkKIJq/YsPg5wOysMq9+u52zU2OpfIHKGfx+FDe+tqpC9m6vaXHXv3/kqwdHEHoa560qoM08nI9hnV6iIcMwGdih4izMk43qEo/rNJOMWYZJcpiD128cQLFh4jFMwhw23JqvbFONrrUs27d+YqTbNIPOjhOiIdVa0i9d17nhhht49913GTp0aPmU7GeeeYa4uDgmTJhw2ufesWMHAwcOpKCggKSkJCZMmMAdd9yB3f5LFr+tW7eSlpZWIRjv0qULABkZGacVMCsFkZHN6et+3SnL8Cjvl79w4K8T0nnkgq6Uek1cdo0olx1bJVOh6tK+vGImvLyUawcm8+atgzhWUOobGbfp/Gflbs7uFEdsJW0YduJ/bTadw8dL+Hlf8C8zlgVFXoOEmMC1HQ3TIvdEtm6bpohwNu48hLnFXv766UY+/flA+Tal4PbhKdw5oiPhQa7fl+Fb1cnU9DBgQu82XNQzwbdmuY7I/d2ySHu3LI21vQ9nVSybd7IDucVoukZkeOD1uGdCKfhi0+GAFSXA9/yas2Y/95zTscapIgpU4LJNZRIiXTjsOpGu03tdbR02eiZGsC5A6aZIt51x6W3OuM3Dqj5ENCKN9R5vLKr6+lSr304feeQRwsLCuPfeezFPTDNNTk5m9uzZtG7d+rTO2b9/f8aPH0/Hjh0pLCxk4cKF/Otf/2LDhg289NJL5cfl5OTQoUOHCj8fGRlZvl+IhuK2abhtddUHXn1KKeb8tA/LgndW7uadlbsJd9owLKu81nTvdlHcNrRDtYI7TUFyTAi7Akw59/0+CHEE/pg5VuThjaU7eWflbo4Xe+mVGMkj47rSLSGcUEfjy+3sNS1mfb/DL1gGX6fAq9/uoHPrcC7p1cZvX6HH4HiJwZKMLHKLPAxNjaVtlJsoV+12DFgWdRosCyFEQ4hw2ytNONmpVRh2/fQ++5SCglIDhSLEoQX4HYrNBwPniCiz+WAepYZV6VrgQEIdNnomRrIuSIfznSNTK5SErIkol40ZNw7gt/9by3fbfqnwkRofxivX9yM2QNkoIURwtfqtbfr06cycOZMHH3yQPn36kJ2dzaxZs7j99tt56623SEpKqvE5H3jgAb9/jxo1iri4OKZNm8bq1asZMGBA+T5VyRfGyvZVxrIgN7eo6gNFea+VvF+Nl9NpY1+2f/scP6X3fG92IYWFpVWWFYmM9AV+d41M5Xcfrgt4zLldWuHAqvA34bHpXD9rJTuO/DJ6sHZvLtfNXMFTl6UzOi0Oq5FNKS7WNN5ativo/ue/2srQlBgcJzoLDV3j/TX7+eeXGX5fenq0jWDGDf1xmk0rGZrc3y2LtHfL0ljb26FrnNulFV9tPhxw//3ndcJumjW6bk1TlCiNZTuO8uFP+wC4rG8iZ6XE+lV20HWN1LjKJ1ynxofhKfGUdzjX5Bqev7o3V5+SzAzggvQEhnWMISfnzNrCrhTPXtaTYsMi63gJkSF2wuw6LgV5eUWNts1F3ZD2rlxsbFilo8y1tpg4MzOTKVOm8MADDzBp0iQGDRrE+eefz6xZszh+/LjfaPCZKpvevWbNmvJtUVFRAUeRc3N9vXdlI81CtGSGYTKkY2ylxwzuEFOjZFHndIpjQp+2FbantQrj/y7ugX5KUjObTWPBxkN+wfLJ/vzpJoobYRxZ4jUrrGM72d7sIspym+m6YuuRQp79IqPCCMGG/Xk8OmcdXhkRFkKISummyV8u6UGvRP/vcErB7WencDCvmOM1SCqpFBQpxXWzVvCb//3M99uO8v22o/zmfz9z/WsrKVZa+ZdmwzAZ0CEatz3wjCel4Mr+SXhqGCyDr/pGlM1XfeOZK3oxtntrLuubyAd3nsWfxnetlczfvvJXJqFYpEQ4iNYVdtNsVMkgdZtOiaZRpBQlmoZ+muuqhahrtTbCvHnzZizLIj093W97eHg47du3JzMzs7Z+Vfl075PXK6elpfHFF19gmqbf9oyMDAA6d+5ca79fiKbK6zUZ2jGWCJeNvOKKI8hRIXb6JUfV6IGqew0eGduZSWd35KO1+yksNRjXozUpsaG+3vpTvssUGhb/Xb0n6PkKSw32ZBfRKcrVqEZgHbqGpqjwesqEOW1oJ2pgl1iK57/aGvRcS7Yeodi0TitZTG3RNIVXKUot30wauwZOGi7rtxBCnMqyQFkWk0Z2xGnT+Wl3NiEOGwM7RLNw02F+P2c9tw9P4a5h7TGrkS3K0jSmLNwasHLFjiMFTPlqK4+MTivP6um04LWbB3Dz66v8yihpCqZc1YeQyh4KVSirvjE6NYZz02LR8NVANuvgM7gRPUoBX2eDR9d5c+UeZi/fSV6Rl/hwJ78e0ZGL0hPqvFSYEDVVawFzq1atAFi3bh39+/cv356Tk8POnTsZOnRobf0qPvroIwB69+5dvm3MmDG8//77LFq0iNGjR5dvnzt3LikpKZIhWzQ7muZLIlXTB6ELi//cMYSb31hVXjsaoHWEkzduHogLq6oSihXYDJNWTo27h3UAfJnDTcMIeB4LKK3ii02J16x03VpDcGq+MlrBpgZeM7CdL0uo6SvJtfVw4MzhZY4VlhIa0jDryJSmccRj8ORnm/h22xEsC3olRfLHC7uRHOFCq+dSZ0IIEczxUoN73vmJmFAHnVuHUeo1mbowA++JQPWDH/dy81ntqU56rGILPll7IOj+j9fs5/5z03CVbTBNOkW7WfjgCBZuOsSavbmkxodyca+2uDVq5bOyrIRSS/rULdV07n93Dat2ZZdvyzpewl8/28S6vbn87vzO2KTzVjQi1Q6Y58+fD/gCYoBVq1aRnZ2N2+1m5MiR9OvXjx49ejB16lQKCwvp27cv2dnZzJw5k6KiIiZOnFij8wGsXr2aGTNmMHbsWBITEyksLOSrr77iww8/ZNy4cX6B+ciRIxk8eDCPPfYYOTk5JCUlMXfuXH744QdefvnlM3iLhGg8lAKPplHoMdmRlU+U20GbCCcuZWFWc1qaaZgkuHXm3nkWu3OK2H20kA5xoSRFunArC+M0ayZbFlWuewZw64pzu7YiM2tHwP26pkiNDy2fSdJY6KbF4xd1Z+OBPA7k+mc47ZoQzq3DOpSX1FBAQoSL3CJP0PNFuhooWFaKbI/BJS99T7Hnl/f45725XDVjOW/eMoie8SFSB1MI0SiUBcbHCkpZvv1Yhf0nf45VeS7DorSSQKzUMMt/XxnLMHEBl6YncFmvNmBZlJYaLSvCrUWapth5tMAvWD7ZR2v3c/c5qcTYflm2pOsauq4wTV+HvBD1TVnVnPNYVp7pVImJiSxatAiAvLw8ZsyYwcKFCzlw4ADh4eF069aNu+++m759+9b4fLt27eLJJ59k8+bNZGdno2kaKSkpTJgwgYkTJ6Lr/msd8vPzee6551iwYAF5eXmkpaUxefJkvxHnmjJNi6NHKx8pEj7NOaGAdiIDpnmaU69qg1JQqus88sHPfHtS1suYUAcvXNOHzrEhUMMeWU1TKKUwTavG05/PpL2LlMb4F74LWK7jhsHJ3DeyI6oR9i7ruqIYjcVbs/j45wPYNMU1A9rRt10UjpOSeNlsGl9vP8ZD//s54Hm6tQln1g39sTdAp4Cpazz2yUYWbgo8Up4SF8rbtwwsT15Wpjnf36Iiae+WpTG3d4mmcf7z3wbNITG2e2v+clE3tGo8M0o0jYtfXsqxgtKA+2NDHXx091CcjazDti40VJvbHTp/+nwLH6/dH/SY347tzPX9EjFMkyIU6/fl8dOeHBKjXJzTpRUuQLWANqpNjfkebwxiY8PKv+sHUu2AuaWSgLn6muPNaOkapRZsOZSPYZp0SYjApVGtB3Nt8+oav/1wnV+JiDJ2XTH//rOJqMc8UmfS3pqucajYy//74GfWn6gT6bbr3DS0PTcPad/o1y/Z7TolhoVSYFcEHI01bDr/99km5q0/6Lc9NtTBu3cMIcauGqQDpkTTGPHsN5Uuu/vqwRFEnJISsjne3yI4ae+WpTG3t2bT+M9P+3n2i4wK+2ya4tN7hxNn16rV6avbNN5be4Cn528JuP/RC7pyZe82GJ7G/QyqDQ3V5ja7zmOfbeLzdQeDHvPAeZ24dXA79ueXct2slX4dHLqmeO7K3pyVHCVBcw005nu8MagqYK7dYqBCNCOGrvHh2gNMXbi1fAqXpuC6Qcncc05qvQd1BR4zYLAM4DEsZn23g4dGpWI1gam0pmGS4NKZcV0/ig0Tj2ER4tAJ0VT5tObGzOMxyksMBJuErnsN/jS+K7cO68DbK3y1pkd3bcXIzvG4MU976nttqOo3Sy+qEKKxML0mV/RNRNcUL3+dWV4KsUNsCE9f3osYp4ZVzc9Tw2tyae+27DxSyHunJJ+8dmA7LunVMoLlhmSZFhP6JFYaMJ/XtRUFhsnE11dVmA1gmBYP/HcNX9w/gihJqi3qiQTMQgRgs2ms2J3LPxb490KbFry9Yjdx4U4m9k+qt+BO0xTbDh6v9JhVO7MpMSwc9XJFZ84wLOxY2BVgU2CaNLfOYpth0jHCyePjumBavpfp8Rg05NcxGzA8NdZvWv/JkqLduG0nspcJIUQjoHsNrurdhot7tSWvxItNU7jtGhE2jZIAS3uqOteD56Zy58iOrNzhWxM9MCUGh+6b9ePQNakWUIcMwyS9TQSp8WFkZlWcwTk0NZa4UDvbjxT6JSY9mWXBW8t3cf/IlGplRxfiTNVaHWYhmpNCE577suL0rzKvfbeDonqcTmtZvpJPlYl029Gktm+jY5oWhsfA8hp4GsHIhR2LRy/ohi3I1KM/jO9GiDwZhBCNjAfFFxsPcusbqxgzZQk3vraKhVuPYpxG7V7dMAnXFINSYli7N4dxU79l+D++4Y5//0hGdhFmJVMzxZlzWiazbxnIr3q3KX8WuewaNw5pzz+v6IVLwbYAwfTJMg4fpwb53oQ4IzLCLEQAhgXbjxQE3Z9X7KXIY+Ksp+lAlmXRLtpNhNtGXlHg3vRbh6fgVNT76KWha5SaYGFhVwqXklq+jZlpWsS7bPzv12fxx4/Xl68hbx8bwh8v7EZ663DJkC2EaFS8usajc9bzTUZW+bbtRwp46H9rmTgkmclnd0SvwawYTVMc9Rj86sXv/eorb9ifx7UzV/D6zQPp3SpUPgvriGlaOJXBH8d14f+N7UKJ18Rp03BrYHkNTE2RHBNS6TmSY0Kwn8icLURdk4BZiAA05UtCVVTJiKDDVr+Fgl3A81f35fbZqzFOGd0+u1McfRMjMYz6C5cN02JvbjF/+XRjeS3fbm3CeWx8N9JiQ9AlaG68TJP24Q5mXNePkhMZ0p26RogWOIGZEEI0FE1T7Mkt9guWT/bW8t3cdFYHImswM8arFE/P3+IXLJexLHj84w28c+ugRrvESbfpFJoWRR4Tu65w6gqHZTVoJY+asixQXl/JLpcGmCbWieYwTYtOrcKIdNuDlme8eWgHrNNcFudw6CilMAxTnnmiWmTinRABuDS4on9S0P3DUmNx1vOULdMwSW8Vyvz7zubK/kl0jAulX3IUL17bl39c2hO7WX/BslKKA8dLuOSl71my9Uh5v8GmA8e5YdZKfj5wHN0mHy+NmWGY2E2TMCzCFThM+eIghGh8dJvGu6v2VHrMwk2HsdurP+XLY8HXWwKX1gPYdbSQokb6eWjoOp9tPsyEV5YyZuoSzvnnYu76zxoOFRsovflMJXcBr988AHeAdv3Dhd2IcdpqPGZhaIpcE6Yv280T87awaPsxSnQNrRm9b6JuyAizEAFYXpM7R3RkydYsdh0t9NsXE+rgL5f0wG5Z1Pvj1DCJtsEjoztRbJjoSuHSwOs16jWzsakpnpu/hcIgdTGf+HgD/5s0pNH2zgshhGgaTAuKq8j/UOSpWeIvqEa1gEY4WKvZND5Ye4Cn5m/2275mTw6XT1vG5/cNJ7x+J7/VGcswaR/u5IsHzmbhpkOs3pVDYpSbqwYkEWbTajQFH3zLx/77036//DQf/rSPqBA7794xhHiH1qRG6EX9kiEgIYJwWSb/uX0wf72kB72TIunRNoKHx3bmk8nDiLI1TA1d8D0ILa+B07KwNdCooMeCBRuCl4TYn1tMQQMmuLLZNBwOW7VGHGw2nRJNI8+EQqUwdK3SWnxCCCHqj7IsLkxvU+kx53RuVaNnoU35ljIFkxTtJsTR+L4iF5nwr0VbA+/zGExbnAl686m1ZBomLtPk0vQE/nphVyYP9029r26wrOsKTfP9t/94ScBkrjmFHm57czXFkjRVVEJGmIUIwjQt7KbBhV3jObdzPJZl4bZpGA1cFqg+aTaNIhPySrzoShHm1HGf2NeYerCVAlPTMBV4LcWyXdms2plNYpSLC9ITcCmFFuABa+gaCzYf5vmvtpGV7ytfMSw1lv+7uAfRdg1T1mELIUSD8npN+raLIinazd7sogr7eydF0jrcgVWDz2u7ZfHouK4sy/weT4Aazn+4sBshCmo+bl23jhV6gs7sAvhy02Emj0oj1KY1q3JLNakwoZTCoynySgwy9uURHeIgtVUoM5ZsD/oz+3KKOHy8lHahNZ/mLVoGCZiFqILXa1JW0MloBGWB6ouh63z48wFeWLSN/BN1LluFO3lyQjq92oZzXtdWLNh4KODPtgp3EurQoT4CTl2RXWry0ZrdDE2L565//+iXJOTpBVv4+6XpjEqLQzv5enSN//60j+e+9O+t/z7zKJdNW8pn9wzHVfdXL4QQogpOy+Sd2wbz2Nz1fLvtCAC6phifnsCjF3TFYZg1WpZkmhZxLhvv33kWj3+8kTV7cgDoGBfKHy7sRo9WYY0yp4NexaC3TVP8tCeHdXtzuXVYB9/70oIiQKWgRNd46L9rWXGixjbAny7qzs5Tltedam92Ie3DIzECdKAIIQGzELXo5MyVDpvCqSnfWucmti5Gt2l8suEgf5/nv07q8PESJr39A/+bdBa/H9+VbzKyAmYZ/cOF3XDXQ4krTdfYdKSQm99YxbSJ/bn/vTUVMmpaFvzuw/UsuP9sYu2qvPe4BHjp68yA580r8jJ7+S7uHNq+WfXSCyFEU2SaFiEKnrksnRLToqjUIMRhw6WBZhinNypomLQLtfPKNX0oMS1MC5y6qrJagK4rSlF4TQunplAnKg3Uhyi3nagQOzmFgTNHn98jgW+2ZDHnp30s236UV2/oj70eq2c0NI+m8fD/fvYLlsE3gtw+NpTNB48H/dnkmJAm911N1J/Gt0BDiCbKsOn8Z80+xr/4HWOmLmHks4t54P2fyfZaTS4DY6EJ/1q0LeA+y4Kn5m8mxGFjzt1D6ZccXb6vQ2wIM27oz6B2URj1EGgWWfDgf9cSG+agqNQg63hJ0GNfX7oTZfOt7VIK9ucUBwz2y8xbf5Ai6WkWQohGwbIsdMMkxLKItWu4LRNlmGc0hdYwfLlAQrEIV1aV1QK8usbPhwt58IN13PTmap6Yt4UDxV7MqoZ+a4lLwRO/6h5wX2yog4v7tOXzdQcAX03pjQfz0E9cm7JplCiNEqXQmmkViwKPybLtRyts/2jNPq4aELzySXJMCHFhDpmOLYKSEWYhaoGla7z6/U5mfbfDb/vy7ce4YvoyPrlnGK56zWN9Zgo9RtAebIDVu7LxmhZpcaG8dE1vSgwLswFq+R4t8JCVX0LPxMgK2cxPte1wPqWGVf6hp1WR4KOq/UIIIVoOr64xddE23lu9t3xbZlYBn607wDNX9GJkSgyqhpmba8r0mgxJjuatWwfx1PzNbNifh11XjOuRwMSzOvCnj9b7dQS/t3ovfS/pToGpMfOb7SzYeAhdKS7u05abzmpPfKi9kt/WtGiaYsfh/ID7juSX8vPeXB4c05kppyT+igtzMOumAbip+1lxoumSgFmIWlBiwRtLdwbcl1Po4X+r93LzoHZNZg20XkWWaKdNoyyetBmm74NEAaZJfc1gVgoKSn1B/ZH8EpKi3ZUenxIXgkNTmKZvlLxNpJMQhx40gcqEPm0J0TUMb9NoMyGEEHVDKcWBvBK/YPlkv5+zjkUPjayXvBe6adIjLoSZE/uTXeQh63gJizOyuH32KvKK/NOURbntHCn0ctkrSyk46Vk3Y8l2PvhhL3MnD8PdXMpQWRbRIcGLWT7/1Vb+cGE3vv7NSD5fd4CDeSWclRpL78QI3FgYkuRTVKJ5zskQoh5pmmJbVj5GJWtfPl9/kMImtBbWpWt0bh0WdP+EPm0JczRs6QrLgsSoEJSCA7nFhLtsxIYGf1jeMiwF66S1XE4Fj5zfJeCx8WFOrhrQToJlIYQQaDaN2ct3Bd3vMSxW7jxWPv25rhmGid0w0JXiptdX8dr3OysEywA3DGnPY3PX+wXLZY4WlPLsF1uwtOZRhqqsI7yy7wFJUW4idcX1/RJ5eFQqQxIjcBimJPoSVZKAWYgzZFlg1yq/ley6oilN8HUrePqyXjgCPPzjwhxMPict4L765tLgol6++pwvLNrGc1f1JsxZceLME7/qTqzTv1yE5TU5v1srXrm+HylxoYAvw+jFvdvw/p1nEdKEptALIYSoO17T4lhBaaXHHM0vRatidlZtsiyIcOqM7d464P72sSFEuu2s3pUd9ByfrztASXMYXj7BBbxwbV/sAfLGnNs1nt5JkRiGicdjUFrqlVFlUW0yJVuIM2RZFh3iQnHatKBJpC7vl0SITeH1NI0Hk2GYJIXb+eze4Uz9aivfbDmMw6YxoW8itw7t0GiCSc0w+f24rijgk58P8OLX23j1xgFs2JfLpoN5JEWHcEnvtoTogesw64bJkKQI3r5lIF7LQlMKpwLNNGlBiUWFEKLRUjaNIhOKPAYum45TA70eM1MD2DXF0NRYlmw9EvSYfsnR9V6KymaY/PlX3ekQF8K/l++moNTApinO75HAo+O6UFzF9XgMX3bw5sI0TDrFuFlw/whmL9vJyp3ZRIbYuW1YB3q0Cccms8bEaVJWSyrQdhpM0+Lo0cBJBIS/yEjfGtLc3KIGvpIGoGvMXX+QJz/fXGFXUrSb/04agr0JflArpTA1RemJTwm3pjBPvI7G1N6mrlFsWuzNLiLUaSMx0oVLV5iGSWmQNcqiZhpTe4u6J+3dsjTW9jZsOrO+38nbK3ZT5DFQCkZ1jufxX/UgXLPqdSptsaYx7vlvA05vTo0P461bBmBvoBFLzaZRaEKJ18Rp08o7fouVxqWvLCMrP3AFiS6tw3n9xv7Y6zhZWUPQbDrFpolNKezQ4keTG+s93ljExoZVOkOk4edUCtEcGCa/Sk/glev7kRrvm97rtGlcO6gd794xBGcTeRjp5WUnNJRNw7IslGHiNH3/mY006NdOlBrpEu0m0W2DUi/FRR4JloUQookyNI3/+2wjr363g6ITCTMtCxZtyeKaV5dTVM9fYUOUxX/uGEJChH9qr/TECF6/eQDOBhx/Mr0mLtMkUgOX+Uu5rVBNcf/oTkF/7ncXdMXdAJGAzaZRqmkctyDPhFJNw1bLpa5Mr4HDtNAMs8UHy+LMyZRsIWpJ2fTe2TcPxLBAU741tpbXoLF/VOu6RhGK91bt4cOf9uExTEZ3bc0dI1II18BsIgkxGuOEGaVUo7wuIYRozPK9JvPWHwq470BuMYu3ZnFB57h6mwZtGhaJoTY++PUQDueXciS/mHbRIUQ4bTixMBvh3Gav12B0l3iOj+vCC4u2lVeFiHDb+OOF3emTFIm3qPK12bXN1DQ2HinkTx9vJDPLN4OzY1woj/+qO13jQtAa4fsohEzJroJMya4+me7RNCkFRUrjyunLOZhX7LcvxKHz/q/PIsGtV5j6Ju1dOeOkaeLhThtxoQ5cyrfGKhibTUNpGgrweLyNqtSHtHfLIu3dsjS29rbZNOZlHOH3c9YHPeas1FimXt4TrQFGD5U6sWSpiQR3yqZRbPnqEWtKERNiJzbMga5Uvba5rmtszSnmmleXB3y+/fu2QXSPC6n3teAtQWO7xxubqqZkywizaFY0TWFpCo8JDs03TUlUQdd4aVFmhWAZoLDU4NE565h2bV9sjSTRV1Pgten8+bNNzN9wsPxLQVyYg6lX96FLrBtO6XzQdEUxGl9vO8J3247SKtzJlf2TiHTq6DKVTAjRwlgW2KqqPqE1XPUJy2qcM5qCsbwmTvAtWQIwTXRV/+9esQX/98nGoJ3Bf/50E6/f1B97/V6WEFWSgFk0G15dY19eCbO+28GhvBJ6J0UycUgyYbqGaiJriBtCsQlzftoXdP/avbkUmxbBqzKLkxm6xv996guWT3Ykv5SbX1/FvPvPJlqn/AuDpimySkyueXUpOYWe8uNnfreDyeekMnFQOwmahRAtimGYDE6JRimCBlfXDGyHDZBMFU1HqWmx8UBe0P1bDh2nxLAkYBaNjiT9Es2CV9eY/t1Orpi2jHnrD/Lj7mxeX7qTsVO/Zf3hfN+CYhGQBUHLYZXxNpGATSnfVD69AWtEFxsWCzYeDLjPa1pMX7Id66TrK0Zx++zVfsFymZe+yWR3bnG91vYUQojGwKUUtw9PCbive5sI+iRFSTKnJqY6g9rytBONkQTMoslTSnEgr4Q3lu6ssM9rWkx+5ydK5CM4KB3o0TYi6P6oEDtuu15/F3QalPJ1mhwsNvhkUxbf7MimWNOwqpjSV/vXodh9rLDStccrdhyl5MSUbKXgSEEpe7ODrymatjgTowGmzgkhREPSTJPbhnbgmSt60S7Gt/4y3GnjzhEdmXljfxwyc6zJcSrFgPbRQff3bReFU5fnnWh8ZEq2aPp0jdcDBMtlijwGGw7kMbBteL3WbGwqXAp+N64rE19bGXD/3SNTCdGgsXbkKwWlus59765h9a7s8u02TfG7C7pyUY/W9Til2SLMWfnHaoTLjnZinqFSigO5FdeOn2zPsSI8poWjNi9TCNGsaJpC03xJqJpKIqrq0L0Go1NjGJoyGMMCXfM9s0yvIVk1miA7Fk/8qjuXvrIUzynfx2ya4olfdceJJdPsRaMjI8yiyfOaFoePl1R6zKG8ElQzHaVTSmHpGiVKYepajafvGoZJp7gQnruyFxHuX4I9p03j/vM6cXGvNhiNOHmaoWn86eMNfsEy+P4u/vrZJrYfK6q3Kc2WBa3DncSEBg9vbx7aobzupWVZJEa5Kz1nx7hQ7NLjLoQIQNcVJZov8/D8jCNsyS6mRNPQmtFnhtdr4jBN3JaJwzAlmWcTZpoWCSF2Prp7GMNSY8u3n9Uxlrl3D6VtqEMGNkSjJCPMoslz6Iq+yVGs2HEs6DHd20Q0yw9hQ9M4WFDKK99ksvVwPm2iXNw1MpW02JAajarqhsmIlBjm3TucrPxSvKZFQoQLJxZ4G3dfb4kJX20+HHT/1K+28vwVveoty7dLWUy5qje3vrka45SRnn7JUQxPjcV74j21LIgNtdMxLpTtRwoCnu+uc1LRDEtGU4QQfjRd41Cxl5teX+XXaRwf5uT1WwbSxm2rtIydEA3BMkxau3T+eXlPPCcebHYFdsvClGn2opGSEWbR5Bkeg6sHtAs6CpcSF0qbSGeTKgFRHaam+GLLYSa8vJQFGw+x/UgB3287yg2zVvLKtzvw1nD9rmX4eu8T3TY6hNlxGkbjnYd9kmOFpZWuGd58MK9ep3eZhkW3+FA+v284l/ZpS1K0mx5tI/jH5T156dq+2A3/q3Fh8eqN/Wkd4fTbrhT84cJutAlzNLu/XSHEmStGce3MFRVmWGXll3Ddq8uRaquisTJNC90wcZm+/3TDbFZLCUTzIyPMolkI0xWv3zyQu97+keMl3vLtHeNCee3mAbhpfqUnii3FE59sDLjvzWW7uLJ/EgkuvdJgMpimFJ9VtWa4VbgLVc/js8owibUpfn9+Z4oNC12BW9PwBlh3ZxgW0TaND+88i00Hj7N8+zHiw52c3701Lk2hNYFOCyFE/bLZNL7feSxgdn2AvGIvy7YfY3RqDF6ZwiyEEGdEAmbRPBgmXWNCmH//cDIO53Mwt5guCRHEhTnYl13EIQWJ0W5c+EZSmzqbTWPxpiwq65D998rdPHJeJzyl3uAHNQMhNo0urcPZcuh4wP13DE8hRNPwmvXbZWJZgNfEBWBR6e83DBMH0C8hjIGJkViWhcdjUGkDCyFaLF3XWLUz+DIkgOXbj3J+5zgJmIUQ4gxJwCyaDcv0BR294kPp2TaCf36Zwbur95aPloY7bfz9snQGtotq8qN2SimO5Fee6OxYQSlGUxoqPk0uZfGva/tw1fTl5Bb5j7aM7BzPiE5x5WuGGzvDsDCM5t3BIYQ4c6ZpkRgVUukxSdEhspxDCCFqgaxhFs2OoSn+8UUG/1m1129q8fESL/e+u4YD+aX1ljW5rhiGyeCUmEqPGZYaR+Ounlw7DMMizqHz2b3D+cP4bgxNjWVs99a8fesgnpqQjq2JBMtCCFFdHo/B+PQEKiv+MKFPW0pL5fNPCCHOlATMotkpMeGDH/cF3GdZMGVhBt4mXmLKNC06xIbQLiZwSaIIt41zu8b7pvW2AKZh4jQMLu/VmimX9+Rvv+pGt1g3NqNlvH4hRMvj1uAvl6QH3Pf4Rd3Ly9cJIYQ4MzIlWzQ7xwpKK5TzOdlPe3LwWOAMekTT4LIs3r51EHf++0c2Hfhl/W5StJsZE/vjBpr2xPOa83pMNMA68Z8QQjRXmmkxpnMc/e8bzutLd7LtcAEpcSHcOiyFOLetyS89EkKIxkICZtHsuB2VT0SOdNubRTRlmhZhmmLWDf3JLfGyN7uI1hEuYkPsuJWFIV+WhBCiWdMMk3iHxiPndaLUtHBovsSWzSG5ZUul2TSKDAtQuHSwJGmbEA2uWgHzwYMHmTlzJhs2bGDz5s0UFhYye/ZsBg8e7HdcaWkpb775JnPnzmXfvn2EhYWRnp7O5MmT6dmzZ43PV+b777/n+eefZ/PmzYSGhjJmzBgefvhhIiIi/I4rKChgypQpzJ8/n7y8PNLS0pg8eTLnnXdeTd8X0YSF2nWSY0LYfaww4P4bh7Qn1AbewNU4mhTTtLBjEWfXaJUQhmVZWKbZ7EpoCSGECMyywPIa2ABTYqsmS9cVhSjeXLqLj9fuxzRhTPfWTBqRQrgGptEMevrrmG7TKDIhv9TAY5hEhdhxKel0EGeuWitcdu3axWeffUZISAhDhgwJetzjjz/Oc889x+jRo3nllVf4/e9/z4EDB7juuuvYtm1bjc8HsGLFCiZNmkRCQgLTpk3jkUceYdGiRUyaNAnzlCfDPffcwyeffML999/P9OnTSUtL45577mHx4sXVeZmimQjR4Pmr++C0Vfzz7tE2got6tsHraX4fnqZpNan6yUIIIYQApeC4qbjkpaW8+u0ODuWVkJVfwjsrd3Phv74jq8QEu97kE5bWJUvTWH+4kMunL+f857/lohe/Z/SUJbyxcg+GrSWkQBV1qVojzAMHDmTZsmUALFy4kEWLFlU4xuPx8Mknn3DRRRfx4IMPlm9PT09nzJgxzJs3j3vvvbfa5yvzzDPP0KlTJ6ZOnYqm+QKg+Ph4br31VubPn8/48eMBWLx4MUuXLuXFF19kzJgxAAwZMoQ9e/bw1FNPMXLkyOq8VNEMeL0m7cIdLHjgbN74fiffbjtCiMPGDYOTGdEpDrthNocZ2UIIIYRoBixd49n5WzhaUFphX0GpwR8/Ws91g5Lp0TaCWIeOKVPu/Wia4mCxl1veXOWXw6bYY/Li15kopbhpYJKMNIvTVq0R5rJAtapjlFKEh4f7bQ8LCwPA4XDU6HwAhw4dYt26dVxyySV+PzNs2DBat27NggULyrd9+eWXhIeH+02/Vkpx6aWXsn37dr8RbtH8WYZJqGVxz4iOvHnTAKZf15exneKweQ2pSymEEEKIRqPEhHnrDgbdv2pnNq0jXVz+yjIK5CtMBV6l+OcXW4ImfJ357Q6KJVYWZ6DWkn7pus4NN9zAu+++y9ChQxkyZAjZ2dk888wzxMXFMWHChBqfMyMjA4BOnTpV2Ne5c2e2bt1a/u+tW7eSlpZWIRjv0qVL+bnS0tJqfA1KQWRk4NI9wp/txJSXxvZ+RVR9iDgNjbW9Rd2Q9m5ZpL1blpbS3koplMKX76MRBZ6H80vxVlLdA8BrWBwv8fL60p08PLozdv3Mpmc3pzY/Wuhh2fZjQfcXeQyOlxq0ig2px6tqXJpTe9eFqqrN1mqW7EceeYSwsDDuvffe8vXFycnJzJ49m9atW9f4fDk5OQBERkZW2BcZGcnGjRv9ju3QoUPA404+lxBCCCGEaDkKPAY5hR4+Wrufg7nFDE+LY0CHaGLcNqDh1wU7bBqdW4eRcSg/4P74cCeFpb50nvPWHeTXZ3ckJsRerXP7AgHVrGfXKSDEoVPkCZ7y9Ew7GETLVqsB8/Tp05k5cyYPPvggffr0ITs7m1mzZnH77bfz1ltvkZSUdFrnVUHC/lO3Bzuuqn2VsSzIzS06rZ9tacp6reT9ahmkvVsWae+WRdq7ZWnO7W3oGh+s3c8zCzLKt727ag+xoQ7+c8dg4hx6g5dhtNs0fjeuK7e+uTrg/tuHp/Duqt0AaAq8XoPcXG+l57Q0RSmKFTuPcTC3mD7tougQE3Ki7KTVrNrcbtO4sn8S05ZsD7g/KdqNW9eaxWs9Xc2pvetCbGxYpaPM1VtMXA2ZmZlMmTKFBx54gEmTJjFo0CDOP/98Zs2axfHjx3nppZdqfM6oqCgg8Ohwbm6u38hzVFRU0OMg8Ci1EEIIIYRonjRNsT+vxC9YLnO0oJTbZ/9AUSMYePV6TXq0DuPZK3oR4f5lLCvEoXPfeWm4HTrfbMkC4JI+bXHrlX99N3WNFXtzGfXcYn7zv5955osMrp+1kqteXUGO11fCqjkxvSYTh7QnMaridGObpnjmil64m9dLFvWs1gLmzZs3Y1kW6enpftvDw8Np3749mZmZNT5n2drlk9cql8nIyPBb25yWlkZmZmaFUlNl66A7d+5c498vhBBCCCGaJkMppgcZdQTYfayQIwWlVa5frA+aYTKqYwyf3zuc9+88i5k3DWDGxAHszS7iTx9tACA21MH1g5MxvcGnHisFuaUG9727Bs8ptZv35RRx65urKLIawQuuZS7L5L+ThjD5nFTiw52EO22M65HAp/cOJy3a1eCzCETTVmsBc6tWrQBYt26d3/acnBx27tx5WmuYExISSE9P55NPPvELhJctW8ahQ4cYO3Zs+bYxY8aQl5dXoUTV3LlzSUlJOa2EX0IIIYQQomnymBY7jhZUesy+nKLTXrZX20zDxGmYJEU4MU2Txz9ez4c/7sOmKX7Vqw0f3jWUkCoKYypd542lO4MmNdt5tJBD+SV1cPUNyzQtHIbBbYOTmXPnWcy7bzh/vrArcXYNjEYwjUA0adVewzx//nzgl4B41apVZGdn43a7GTlyJP369aNHjx5MnTqVwsJC+vbtS3Z2NjNnzqSoqIiJEyfW6HxlHn74YW677TYeeughrr76ag4dOsSzzz5L7969GTduXPlxI0eOZPDgwTz22GPk5OSQlJTE3Llz+eGHH3j55ZdP8+0RQgghhBBNkV1TpMSGBk2mBZAY5W50CbF0w2Rg2wjeunkgHstCUwqn5huFNoIPLgNQalpsPHC80mMyswro2TaiUWUKry2G18B50r+b4UsUDUBZ1fyUKCvPdKrExMTyUd28vDxmzJjBwoULOXDgAOHh4XTr1o27776bvn371vh8ZZYsWcILL7zA5s2bCQ0NZfTo0fz2t7+tsC45Pz+f5557jgULFpCXl0daWhqTJ09m9OjR1XmJAZmmxdGjwT9oxS8koUDLIu3dskh7tyzS3i1Lc21vTVPsOl7KZdOWBdzfLsbNu7cNxmE2o+m6No0/fbaZeeuD13X+922DGNg+Gmh+bS4Ca673eG2JjQ1D0ypJHl3dgLmlkoC5+uRmbFmkvVsWae+WRdq7ZWnO7W3oGh+s2c8zX/gn/mpMWbJrk6Ypdh4v5fIgnQTRIXY+vWcY8WG+cdjm2OaiouZ8j9eGqgLmWi0rJYQQQgghRGOhGyaX927LuPQEPl57gIN5xQxPjaVfcjRuzGYVLINvoKdthJM7R3SsUGbJZdd49cYBflOWhRBVk4BZCCGEEEI0W7ppEqHg1kFJKKXwek0Mw6CK5cBNls0wuXlIMr/q1YbZy3dx6HgJA9tHc3HvtrgVWM2sk0CIuiYBsxBCCCGEaFC6rqHrGpZl4fHUTShbWtpcQ+SKdMOktUvnd6M74bUsbErh9RiSBEuI0yABsxBCCCGEaBC6rihCsXZvLt9nHqF1hIuLerYlRFfozSkZVwOwLPCe6HzwNvC1NFZKKex2DQuFaTS/KfqidkjALIQQQggh6p2uaxz1mFz76jKO5JeWb3/uy638v/O7cFmvNhI0izrj1TWyCjy89+0ejhd7Ob9Ha/okReLGwpDazeIkEjALIYQQQoh6V2TBHbNX+wXLZf6xYAtDUmJoH+7ANCV4EbXLsOk8NX8LH63dX77t47X7aRvp4j93DCFMQ/7uRDmtoS9ACCGEEEK0LErB0UIPO48WBj1m2pJMDBW81IsQp8Nm0/h++1G/YLnM/txiHvrfWkrl706cRAJmIYQQQghRr5RS7M0OHiwD7DhSiEdG+UQtKzQtpi3eHnT/D7uyKZYp2eIkEjALIYQQQoh6ZVkWiVHuSo9pHxuCXZORPlG7LBT7cooqPSa/RNKkiV9IwCxEM2ez6ZRqilJNo1TTsNnkthdCCNGwLAviQh0kx4QEPeaukanoloz0idqlASlxoZUeE+GSNE/iF/LNWYhmzLDpLNx2lImvr2bkPxdz4xur+SrzGIZNb+hLE0II0cK5Fcy8sT8xoY4K+x4a05nECKckXhK1zqXgnlFpQfefnRaHU2Y2iJNI94kQzZRX13h6wRbmrvklqUVmVj4Pv/8zV/RL4jej07BJvUEhhBANxDBM4hwan0wexupd2Xy37QgJEU4m9Ekk1KahyzNK1AHDMOmbFMktwzrw+vc7/faltQrj75f1xGaaSFeNKCMBsxDNkFJwrNDjFyyf7P0f93Lb8A7EOzRktpsQQoiGYhgWDgxGdIhiVGoMlmVRWmqA1F8WdUj3Gkwa2oHrByUzb/1B8ku8nNM5nvYxbpyWiSlfjsRJJGAWohmy2218sGx3pcd8tHY/dw1t7/tiIoQQQjQgr9fE65UgWdQfm2kSqcHE/oko5fsbNA0T+SsUp5KAWYhmSCnIL6k8EPZlgJQ1OkIIIYRouTweGTgQlZOkX0I0Q16vwQXprSs95vzuCXi98pAQQgghhBAiGAmYhWiGDMOiS6vwoGUTUuPDSI0LleyjQgghhBBCVEICZiGaKadlMvuWgZydFle+TSk4p0s8b94yEKclq3SEEEIIIYSojKxhFqKZMk0Lt4JnLkunxLQoLDUIceg4NYXNlAyQQgghhBBCVEUCZiGaMcuy0A2LECDEroFlgWFJbUEhhBBCCCGqQaZkCyGEEEIIIYQQAUjALIQQQgghhBBCBCABsxBCCCGEEEIIEYAEzEIIIYQQQgghRAASMAshhBBCCCGEEAFIwCyEEEIIIYQQQgQgAbMQQgghhBBCCBGABMxCCCGEEEIIIUQAEjALIYQQQgghhBABSMAshBBCCCGEEEIEIAGzEEIIIYQQQggRgATMQgghhBBCCCFEABIwCyGEEEIIIYQQAUjALIQQQgghhBBCBCABsxBCCCGEEEIIEYCtOgcdPHiQmTNnsmHDBjZv3kxhYSGzZ89m8ODBfseVlpby5ptvMnfuXPbt20dYWBjp6elMnjyZnj17+h1bUFDAlClTmD9/Pnl5eaSlpTF58mTOO+88v+MmTpzIypUrK1zT+PHjmTJlymmdUwghhBBCCCGEqEq1AuZdu3bx2Wef0b17d4YMGcKiRYsCHvf4448zd+5cJk2axJAhQ8jOzmb69Olcd911zJkzh7S0tPJj77nnHjZu3MjDDz9MUlISc+bM4Z577mHatGmMHDnS77wdOnTg6aef9tsWHR1d4ffX5JxCCCGEEEIIIURlqhUwDxw4kGXLlgGwcOHCgAGzx+Phk08+4aKLLuLBBx8s356ens6YMWOYN28e9957LwCLFy9m6dKlvPjii4wZMwaAIUOGsGfPHp566qkKwa3L5aJPnz6VXmNNzymEEEIIIYQQQlSmWmuYNa3qwzRNQylFeHi43/awsDAAHA5H+bYvv/yS8PBwv6nSSikuvfRStm/fzrZt26p18Seri3MKIYQQQgghhGi5ai3pl67r3HDDDcyZM4eFCxeSn5/Pnj17eOKJJ4iLi2PChAnlx27dupW0tLQKgXiXLl0AyMjI8Nu+Y8cOBg4cSPfu3Rk7diwvv/wyHo/H75ianlMIIYQQQgghhKhMtaZkV9cjjzxCWFgY9957L6ZpApCcnMzs2bNp3bp1+XE5OTl06NChws9HRkaW7y/Tv39/xo8fT8eOHSksLGThwoX861//YsOGDbz00kundc6aUAoiI92n9bMtjc2mA/J+tRTS3i2LtHfLIu3dskh7tzzS5i2LtHfllKp8f60GzNOnT2fmzJk8+OCD9OnTh+zsbGbNmsXtt9/OW2+9RVJS0kkXFvzKTt73wAMP+O0bNWoUcXFxTJs2jdWrVzNgwIAan1MIIYQQQgghhKhKrQXMmZmZTJkyhUcffZSbbrqpfPvQoUMZNWoUL730En//+98BiIqKCjjim5ubC/wyKhzMhAkTmDZtGmvWrCkPmM/0nMFYFuTmFp3Wz7Y0Zb1W8n61DNLeLYu0d8si7d2ySHu3PNLmLYu0d+ViY8MqHWWutTXMmzdvxrIs0tPT/baHh4fTvn17MjMzy7elpaWRmZlZPm27TNk6486dO1f6u8p+7uT1ymd6TiGEEEIIIYQQ4mS1FjC3atUKgHXr1vltz8nJYefOnX5rmMeMGUNeXl6F8lRz584lJSXFr15zIB999BEAvXv3rrVzCiGaBk1T2O06ui7LLIQQQgghRN2q9pTs+fPnA78ExKtWrSI7Oxu3283IkSPp168fPXr0YOrUqRQWFtK3b1+ys7OZOXMmRUVFTJw4sfxcI0eOZPDgwTz22GPk5OSQlJTE3Llz+eGHH3j55ZfLj1u9ejUzZsxg7NixJCYmUlhYyFdffcWHH37IuHHj6N+/f43PKYRompSuUWzB5kPH2XY4n9T4MLq1CccFWIZZ5c8LIYQQQghRU8qyLKs6B5aVZzpVYmJi+ahuXl4eM2bMYOHChRw4cIDw8HC6devG3XffTd++ff1+Lj8/n+eee44FCxaQl5dHWloakydPZvTo0eXH7Nq1iyeffJLNmzeTnZ2NpmmkpKQwYcIEJk6ciK7rNT5nTZmmxdGj+af98y2JrI9oWeqzvTVdY29+KTe+vorcol9KykW4bbx58yCSw+2YRrU+ysRpkvu7ZZH2blmkvVseafOWRdq7crGxYWhaJcmjqxswt1QSMFef3IwtS322d4muMe7578gv8VbYF+rQWfDA2ThllLlOyf3dskh7tyzS3i2PtHnLIu1duaoC5lpbwyyEEHXBZtNYtv1YwGAZoKDU4NutR7DZ5ONMCCGEEELULvmGKYRo1HRd48fd2ZUe8+PuHHRdPs6EEEIIIUTtkm+YQohGzTQt2seEVHpM+9gQTFNWlwghhBBCiNolAbMQolHzeAwuSE8g2NISpeCinm3weIz6vTAhhBBCCNHsScAsRCOg6wqHw4bdrld9cAvkUvDsFb1RpwTNSsEzl/fCXUmiBiGEEEIIIU5XteswCyFqn64rilBkHM7nu61HiAlzcEGPNoTqCs2UrM9lNNNiWIcovnxgBO+s3M3Ww/mkxYdx/eBkwu0ammTIFkIIIYQQdUACZiEaiKYp8ky4YdYK9mb/kub/mQUZPDi6E1f3S0SXQLCcZlpEanDv2Sl4TAu7pvB6DJD3SAghhBBC1BGZki1EAylBMfmdn/yC5TJTFm5lZ3ZRpTXhWiqvx0AZpi9YFkIIIYQQog5JwCxEAzlearBhf17Q/S99nYn31EW7QgghhBBCiHojAbMQDUApxcG84kqP2XG0AI+UShJCCCGEEKLBSMAsRAOwLIv4cGelxyRFu9FlhFkIIYQQQogGIwGzEA0k0mkjNT4s6P67RqbiVDLCLIQQQgghREORgFmIBuJWFtNv6EdcmKPCvluGdaBLfBiGIQGzEEIIIYQQDUXKSgnRQAzDIsau+OjuYazceYyvt2QRG+rgqgFJRLls6IZkgRZCCCGEEKIhScAsRAMyDAsHBuekRDMqNRYFeDxeLKktLIQQQgghRIOTgFmIRsDrNQEJkoUQQgghhGhMZA2zEEIIIYQQQggRgATMQgghhBBCCCFEABIwCyGEEEIIIYQQAUjALIQQQgghhBBCBCABsxBCCCGEEEIIEYAEzEIIIYQQQgghRAASMAshhBBCCCGEEAFIwCyEEEIIIYQQQgQgAbMQQgghhBBCCBGABMxCCCGEEEIIIUQAEjALIYQQQgghhBABSMAshBBCCCGEEEIEoCzLshr6Ihozy7KQd6h6lPL9r7xfLYO0d8si7d2ySHu3LNLeLY+0ecsi7V05pUCVvUmB9kvALIQQQgghhBBCVCRTsoUQQgghhBBCiAAkYBZCCCGEEEIIIQKQgFkIIYQQQgghhAhAAmYhhBBCCCGEECIACZiFEEIIIYQQQogAJGAWQgghhBBCCCECkIBZCCGEEEIIIYQIQAJmIYQQQgghhBAiAAmYhRBCCCGEEEKIACRgFkIIIYQQQgghApCAWQghhBBCCCGECEACZiGEEEIIIYQQIgAJmIUQQgghhBBCiABsDX0BoulYsWIFN954Y8B9n3/+OampqQBMnDiRlStXVjhm/PjxTJkypU6vUdS+FStWMH36dH7++Wc8Hg+JiYncdNNNXH311eXHfP/99zz//PNs3ryZ0NBQxowZw8MPP0xEREQDXrk4HVW1t9zfzcPvfvc75syZE3T/d999R3x8PCD3d3NQ3faW+7v52LhxIy+++CI///wz+fn5tG3blgkTJnDzzTfjcDjKj5P7u3moTnvL/X36JGAWNfbwww8zcOBAv21JSUl+/+7QoQNPP/2037bo6Og6vzZRu+bMmcNjjz3GlVdeyc0334zdbmf79u14PJ7yY1asWMGkSZM477zzeOCBBzh8+DDPPvssGRkZvPPOO2iaTGRpKqrT3iD3d3Nw9913c8011/ht83q93HbbbXTp0qU8WJb7u3mobnuD3N/NQWZmJtdccw0pKSn8/ve/Jzo6muXLlzNlyhS2bdvGP/7xD0Du7+aiuu0Ncn+fLgmYRY2lpKTQp0+fSo9xuVxVHiMatwMHDvDEE0/w4IMPcscdd5RvP+uss/yOe+aZZ+jUqRNTp04tf7jGx8dz6623Mn/+fMaPH1+v1y1OT3XbG+T+bg6Sk5NJTk722/bFF19QXFzMFVdcUb5N7u/mobrtDXJ/Nweff/45JSUlvPDCC+XtftZZZ7F//34+++wznnzySex2u9zfzUR12xvk/j5d0nUkhAjo/fffB3xTeII5dOgQ69at45JLLvHriR42bBitW7dmwYIFdX6donZUp71F8/bBBx/gdrvLvyTL/d28ndreovmw2XzjYWFhYX7bw8PDsdls6Lou93czUp32FmdGAmZRY3/605/o3r07/fv359e//jXr16+vcMyOHTsYOHAg3bt3Z+zYsbz88ssVpnWKxm3VqlWkpqbyxRdfcP7559OtWzdGjBjBs88+S2lpKQAZGRkAdOrUqcLPd+7cma1bt9brNYvTV532LiP3d/Nz+PBhvv32W84///zyL11yfzdfgdq7jNzfTd8ll1xCVFQUTzzxBHv27CE/P5+FCxcyZ84cbrnlFjRNk/u7GalOe5eR+/v0yJRsUW3h4eHcdNNNDBo0iKioKDIzM5kxYwbXXnstb7/9Nr179wagf//+jB8/no4dO1JYWMjChQv517/+xYYNG3jppZca+FWI6jp8+DCHDx/mr3/9K/fffz9paWksX76cGTNmcODAAf75z3+Sk5MDQGRkZIWfj4yMZOPGjfV81eJ0Vae9Qe7v5mru3LkYhuE3PVfu7+YrUHuD3N/NRdu2bXnvvfeYPHkyo0ePLt9+55138sADDwByfzcn1WlvkPv7TEjALKqte/fudO/evfzfAwYM4Nxzz+Wiiy5iypQpvPHGGwB+NyfAqFGjiIuLY9q0aaxevZoBAwbU41WL02VZFgUFBTz33HNceOGFAAwePJji4mJee+017rvvvvJjlVIBzxFsu2h8qtPe7du3l/u7mfrwww9p3759hYSOIPd3cxSsveX+bh727dvHnXfeSXx8PC+99BLh4eGsWrWK6dOno5Tya2e5v5u+6ra33N+nT6ZkizMSHx/P8OHDWbt2baXHTZgwAYA1a9bU/UWJWhEVFQXA8OHD/baPGDECgA0bNpQfU9ZTfbLc3NyAPdeicapOewcj93fTtnr1anbs2MFll13mt13u7+YpWHsHI/d30/PPf/6TgoICXn31VUaPHs3gwYO55557+PWvf8306dPZu3ev3N/NSHXaOxi5v6tHAmZxxkzTrPYxUqKg6ejcuXOl+zVNK1/7FGitU0ZGRsC1UaJxqk57ByP3d9P2wQcfoOs6l156qd92ub+bp2DtHYzc303Pxo0bSUtLw+Vy+W1PT0/HNE22b98u93czUp32Dkbu7+qRd0eckaysLJYuXVplivqPPvoIoHyds2j8xowZA8DixYv9ti9evBilFD179iQhIYH09HQ++eQTv46TZcuWcejQIcaOHVuv1yxOX3XaOxi5v5uuwsJC5s+fz/Dhw2ndurXfPrm/m5/K2jsYub+bnlatWrF161aKior8tv/0008AtG7dWu7vZqQ67R2M3N/VI2uYRbX95je/oV27dvTo0YOIiAi2b9/Oq6++SnFxMQ899BDgm+o1Y8YMxo4dS2JiIoWFhXz11Vd8+OGHjBs3jv79+zfwqxDVNWLECEaMGMGf//xnsrOz6dSpE8uXL2f27Nlcc801JCYmAvDwww9z22238dBDD3H11Vdz6NAhnn32WXr37s24ceMa+FWI6qpOe8v93fx8/vnnFBYWcvnllwfcL/d381JZe8v93XzceOONTJ48mdtuu42bbrqJ8PBwVqxYwaxZsxg6dChdunQB5P5uLqrT3nJ/nxllWZbV0BchmoYZM2bw2WefsW/fPoqKioiKimLQoEHcdddd5dM5d+3axZNPPsnmzZvJzs5G0zRSUlKYMGECEydOlFpwTUxhYSEvvPACn376KdnZ2bRp04Yrr7yS22+/3W/6zpIlS3jhhRfYvHkzoaGhjB49mt/+9reyBqqJqaq95f5ufq677jq2b9/Ot99+i91uD3iM3N/NR2XtLfd387J06VJmzJhBRkYGhYWFJCYmMn78eG655RZCQkLKj5P7u3moqr3l/j4zEjALIYQQQgghhBAByBpmIYQQQgghhBAiAAmYhRBCCCGEEEKIACRgFkIIIYQQQgghApCAWQghhBBCCCGECEACZiGEEEIIIYQQIgAJmIUQQgghhBBCiAAkYBZCCCGEEEIIIQKQgFkIIYQQQgghhAjg/wOIzNZ60WYkPgAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "kmeans = KMeans(n_clusters=2)\n",
+ "clusters = kmeans.fit_predict(data)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "a8eee5b3",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.hist(data[:, 0])\n",
+ "plt.show()\n",
+ "plt.hist(data[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "a6e48898",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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AAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACgwZCCDjh8/nocffjgvvfRSWlpacubMmTz22GOZNWtWz5hTp07lsccey759+3L06NG8/vrrufbaa7N06dJ88YtfzNVXX90z9sCBA7ntttsKX+vHP/5xrrvuul7bnn322Tz00ENpaWnJsGHD0tDQkKampowcObLXuNOnT2f9+vXZuXNnurq6UiqVsnLlysydO3fA/0EAAAAgGWAwHzt2LDt27MiUKVMye/bs7Nmzp8+YX/ziF3nssceyaNGi/MEf/EGuueaa/OQnP8m6devy3HPPZdOmTX2OaWpqysyZM3ttq6ur6/X1gQMHsmLFisydOzerVq3KiRMnsm7durS2tubxxx9PdfVbi+SNjY05fPhwmpqaUldXl23btqWxsTGbN29OfX39gP6DAAAAQDLAYJ45c2b279+fJNm9e3dhMNfV1WXPnj255pprerZ95jOfyYc+9KFs2LAh//zP/5zJkyf3OmbChAm5/vrr+33t+++/PxMnTsyDDz7YE8ejR4/OnXfemZ07d2bhwoVJkr1792bfvn3ZuHFjGhoakiSzZ8/OK6+8kvvuu08wAwAAcEEGdA/z21dxz+Waa67pFctn/cZv/EaSN9/WfaHa29tz6NChLFq0qNc53HTTTRkzZkx27drVs+2pp57KiBEjer39uqqqKkuWLMnRo0fz8ssvX/DrAwAAMHgNaIX53fjJT36SqqqqlEqlPvvuvvvufOUrX8nQoUMzY8aM3HXXXZk6dWrP/tbW1iTJxIkT+xw7adKktLW19Xzd1taWUqnUJ+7Prmq3trYWnsP5VFUlNTVDL/g44OINGXJVEj97AAwern1QGVVV/e+/rMH8T//0T/nBD36QRYsWZdy4cT3bR4wYkdtvvz033nhjamtrc+TIkWzZsiW33nprfvjDH2b69OlJko6OjiRJTU1Nn7lrampy+PDhnq87Ojoyfvz4wnFvnwsAAAAG4rIF87Fjx/LlL385n/zkJ/P1r3+9174pU6ZkypQpPV/PmDEjn/3sZ/O5z30u69evz6OPPtprfNU5sv+d28817nz7+lMuJ52dr1/UscDFOfvXdT97AAwWrn1QGaNGDe93lfmyfA7zK6+8kttuuy0jR47MX/zFX2T48OHnPWb06NGZM2dOfvazn/Vsq62tTVK8OtzZ2dlr5bm2tvac45LiVWoAAAA4l0sezGdj+dd+7dfy6KOPZtSoUQM+tru7u9fXZ+9dfvu9yme1trb2ure5VCrlyJEjfeY4ex/0pEmTBnweAAAAcEmD+dVXX83tt9+e6urqfP/738+YMWMGfOwvf/nL7Nu3r9fHTI0dOzZTp07N9u3be4Xw/v37097envnz5/dsa2hoSFdXV5+PvGpubs6ECRMu6oFfAAAADF4Dvod5586dSZJDhw4lSZ5//vm89tprGTp0aOrr63Py5MncfvvtOXnyZP77f//vaW9vT3t7e8/xH//4x/Prv/7rSZKvfe1rufbaa/OpT30qI0eOzNGjR/O9730vb7zxRlavXt3rdZuamrJ8+fKsXr06t9xyS9rb27Nu3bpMnz49CxYs6BlXX1+fWbNmZe3ateno6EhdXV2am5tz8ODBbNq06eL/CwEAADAoVZXL5fJABp79eKZ3GjduXPbs2ZMDBw7ktttuO+fx9957b5YuXZok2bJlS3bs2JFXX301r7/+empra3PjjTfmy1/+cuFbp5955pls2LAhLS0tGTZsWObNm5c1a9b0uS/51KlTeeCBB7Jr1650dXWlVCpl5cqVmTdv3kC+xULd3eWcPHnqoo8HLpwHnwAw2Lj2QWWMGjU81dX9PDx6oME8WAlmuPL80gDAYOPaB5VxvmC+LE/JBgAAgPc7wQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQYEDBfPz48dxzzz259dZb8+lPfzqTJ0/OgQMHCsc+++yz+cIXvpBp06blM5/5TO6+++50dXX1GXf69Oncc889mTNnTqZNm5alS5fm6aefvmJzAgAAQH8GFMzHjh3Ljh07cs0112T27NnnHHfgwIGsWLEiY8eOzebNm/Mnf/In2bNnT1asWJHu7u5eYxsbG7N9+/Z89atfzXe/+92USqU0NjZm7969l31OAAAAOJ8hAxk0c+bM7N+/P0mye/fu7Nmzp3Dc/fffn4kTJ+bBBx9MdfWbLT569Ojceeed2blzZxYuXJgk2bt3b/bt25eNGzemoaEhSTJ79uy88sorue+++1JfX39Z5wQAAIDzGdAK89lQ7U97e3sOHTqURYsW9Rp/0003ZcyYMdm1a1fPtqeeeiojRozI3Llze7ZVVVVlyZIlOXr0aF5++eXLNicAAAAMxCV76Fdra2uSZOLEiX32TZo0KW1tbT1ft7W1pVQq9QnxyZMn95rrcswJAAAAAzGgt2QPREdHR5Kkpqamz76ampocPny419jx48cXjnv7XJdjzgtVVZXU1Ay9qGOBizNkyFVJ/OwBMHi49kFlVFX1v/+Sf6xU1Tle8Z3bzzXuQsa+mzkBAACgP5dshbm2tjZJ8UpuZ2dnr1Xi2trac45L3loVvhxzXqhyOensfP2ijgUuztm/rvvZA2CwcO2Dyhg1ani/q8yXbIX57H3Gb7+v+KzW1tZe9yGXSqUcOXKkz8dCnb3PeNKkSZdtTgAAABiISxbMY8eOzdSpU7N9+/Ze0bp///60t7dn/vz5PdsaGhrS1dXV5+OpmpubM2HChJRKpcs2JwAAAAzEgN+SvXPnziTJoUOHkiTPP/98XnvttQwdOrTnM46bmpqyfPnyrF69Orfcckva29uzbt26TJ8+PQsWLOiZq76+PrNmzcratWvT0dGRurq6NDc35+DBg9m0aVOv170ccwIAAMD5VJXL5fJABp79eKZ3GjduXK9V3WeeeSYbNmxIS0tLhg0blnnz5mXNmjV97iE+depUHnjggezatStdXV0plUpZuXJl5s2b1+c1LsecA9XdXc7Jk6cu+njgwrmPC4DBxrUPKmPUqOGpru7n4dEDDebBSjDDleeXBgAGG9c+qIzzBfMl/1gpAAAA+CAQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUGHIpJ/vTP/3TbNu27Zz7//Ef/zGjR4/OsmXL8txzz/XZv3Dhwqxfv77XttOnT2f9+vXZuXNnurq6UiqVsnLlysydO7fP8c8++2weeuihtLS0ZNiwYWloaEhTU1NGjhz57r85AAAABpVLGsx/9Ed/lN///d/vte1Xv/pVli9fnsmTJ2f06NE928ePH59vfvObvcZ+5CMf6TNnY2NjDh8+nKamptTV1WXbtm1pbGzM5s2bU19f3zPuwIEDWbFiRebOnZtVq1blxIkTWbduXVpbW/P444+nutpiOgAAAAN3SYP54x//eD7+8Y/32vZ3f/d3eeONN/L5z3++1/YPf/jDuf766/udb+/evdm3b182btyYhoaGJMns2bPzyiuv5L777usVzPfff38mTpyYBx98sCeOR48enTvvvDM7d+7MwoULL8F3CAAAwGBx2Zddn3jiiQwdOvSigvWpp57KiBEjer39uqqqKkuWLMnRo0fz8ssvJ0na29tz6NChLFq0qNdK8k033ZQxY8Zk165d7/4bAQAAYFC5pCvM73TixIn8wz/8Q373d383w4cP77Xv5z//eWbOnJnTp0+nrq4uixcvzpe+9KV86EMf6hnT1taWUqnU5+3UkydPTpK0tramVCqltbU1STJx4sQ+5zBp0qS0tbVd9PdQVZXU1Ay96OOBCzdkyFVJ/OwBMHi49kFlVFX1v/+yBnNzc3P+4z/+o8/bsW+44YYsXLgwn/zkJ3PmzJns3r073/72t/PSSy/lO9/5Ts+4jo6OjB8/vs+8NTU1Pfvf/u/Z7e8ce/jw4UvzDQEAADBoXNZg3rp1az7xiU9k5syZvbavWrWq19c333xzPvrRj2bz5s154YUXMmPGjJ59Vf0k/zv3nWtsf3OcT7mcdHa+ftHHAxfu7F/X/ewBMFi49kFljBo1vN9V5st2D/MLL7yQn//851m6dOmAxi9evDhJ8uKLL/Zsq62t7Vk9frvOzs4kb60o19bWJsk5xxatPAMAAEB/LlswP/HEE7nqqquyZMmSAY3v7u5+84Tedr9yqVTKkSNHevaddfae5UmTJiV5697lonuVW1tbC+9tBgAAgP5clmA+c+ZMdu7cmTlz5mTMmDEDOubJJ59MkkyfPr1nW0NDQ7q6urJnz55eY5ubmzNhwoSUSqUkydixYzN16tRs3769V1zv378/7e3tmT9//rv9lgAAABhkLss9zD/+8Y9z5syZ/N7v/V6ffS+88EK2bNmS+fPnZ9y4cTlz5kyefvrpbN26NQsWLMgNN9zQM7a+vj6zZs3K2rVr09HRkbq6ujQ3N+fgwYPZtGlTr3mbmpqyfPnyrF69Orfcckva29uzbt26TJ8+PQsWLLgc3yYAAAAfYFXlcrl8qSf94he/mKNHj+Yf/uEfen1MVJIcO3Ys3/jGN9LS0pLXXnst1dXVmTBhQhYvXpxly5blqquu6jX+1KlTeeCBB7Jr1650dXWlVCpl5cqVmTdvXp/XfeaZZ7Jhw4a0tLRk2LBhmTdvXtasWfOu7mHu7i7n5MlTF308cOE8+ASAwca1Dypj1Kjhqa7u50HTlyOYP0gEM1x5fmkAYLBx7YPKOF8wX7aHfgEAAMD7mWAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoMAlDeYDBw5k8uTJhf87cuRIr7HPPvtsvvCFL2TatGn5zGc+k7vvvjtdXV195jx9+nTuueeezJkzJ9OmTcvSpUvz9NNPF77+QOcEAACA8xlyOSZtamrKzJkze22rq6vr+f8HDhzIihUrMnfu3KxatSonTpzIunXr0tramscffzzV1W91fGNjYw4fPpympqbU1dVl27ZtaWxszObNm1NfX39RcwIAAMD5XJZgnjBhQq6//vpz7r///vszceLEPPjggz0hO3r06Nx5553ZuXNnFi5cmCTZu3dv9u3bl40bN6ahoSFJMnv27Lzyyiu57777egXzQOcEAACAgbjiy67t7e05dOhQFi1a1GvV96abbsqYMWOya9eunm1PPfVURowYkblz5/Zsq6qqypIlS3L06NG8/PLLFzwnAAAADMRlWWG+++6785WvfCVDhw7NjBkzctddd2Xq1KlJktbW1iTJxIkT+xw3adKktLW19Xzd1taWUqnU5+3UkydP7pmrVCpd0JwXqqoqqakZetHHAxduyJCrkvjZA2DwcO2Dyqiq6n//JQ3mESNG5Pbbb8+NN96Y2traHDlyJFu2bMmtt96aH/7wh5k+fXo6OjqSJDU1NX2Or6mpyeHDh3u+7ujoyPjx4wvHnd3/9n8HMicAAAAMxCUN5ilTpmTKlCk9X8+YMSOf/exn87nPfS7r16/Po48+2rOv6hwp/87t5xp3IWP7m+N8yuWks/P1iz4euHBn/7ruZw+AwcK1Dypj1Kjh/a4yX/Z7mEePHp05c+bkZz/7WZKktrY2yVurwm/X2dnZa5W4trb2nOOSt1aUL2ROAAAAGIgr8tCv7u7unv9/9j7jovuKW1tbe92HXCqVcuTIkV7Hnx2XvHl/8oXOCQAAAANx2YP5l7/8Zfbt29fzMVNjx47N1KlTs3379l4hvH///rS3t2f+/Pk92xoaGtLV1ZU9e/b0mrO5uTkTJkxIqVS64DkBAABgIC7pPcxf+9rXcu211+ZTn/pURo4cmaNHj+Z73/te3njjjaxevbpnXFNTU5YvX57Vq1fnlltuSXt7e9atW5fp06dnwYIFPePq6+sza9asrF27Nh0dHamrq0tzc3MOHjyYTZs29Xrtgc4JAAAAA1FVLpfLl2qyLVu2ZMeOHXn11Vfz+uuvp7a2NjfeeGO+/OUv97x9+qxnnnkmGzZsSEtLS4YNG5Z58+ZlzZo1fe43PnXqVB544IHs2rUrXV1dKZVKWblyZebNm9fn9Qc654Xo7i7n5MlTF308cOE8+ASAwca1Dypj1Kjhqa7u50HTlzKYP4gEM1x5fmkAYLBx7YPKOF8wX5GHfgEAAMD7jWAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoMCQSznZ/v378+STT+anP/1pjh8/npqamkybNi133XVXJk+e3DNu2bJlee655/ocv3Dhwqxfv77XttOnT2f9+vXZuXNnurq6UiqVsnLlysydO7fP8c8++2weeuihtLS0ZNiwYWloaEhTU1NGjhx5Kb9NAAAABoFLGsw/+tGP0tHRkTvuuCPXXXdd/vVf/zUPP/xwPv/5z+cHP/hBrr/++p6x48ePzze/+c1ex3/kIx/pM2djY2MOHz6cpqam1NXVZdu2bWlsbMzmzZtTX1/fM+7AgQNZsWJF5s6dm1WrVuXEiRNZt25dWltb8/jjj6e62mI6AAAAA1dVLpfLl2qykydPZtSoUb22dXV1Ze7cuZk9e3Y2bNiQ5M0V5q6urjz55JP9zrd3796sWLEiGzduTENDQ5KkXC7ni1/8Yjo6OvK3f/u3PWM///nP51e/+lW2bt3aE8fPPvts7rzzzqxfvz4LFy68qO+pu7uckydPXdSxwMWpqRmaJOnsfL3CZwIAV4ZrH1TGqFHDU11ddc79l3TZ9Z2xnCQjR47MJz7xiRw/fvyC53vqqacyYsSIXm+/rqqqypIlS3L06NG8/PLLSZL29vYcOnQoixYt6rWSfNNNN2XMmDHZtWvXRXw3AAAADGaX9C3ZRf7t3/4tbW1t+Z3f+Z1e23/+859n5syZOX36dOrq6rJ48eJ86Utfyoc+9KGeMW1tbSmVSn3eTn32fujW1taUSqW0trYmSSZOnNjn9SdNmpS2traLPv+qqrf+4gdcGUOGXJXEzx4Ag4drH1RG1bkXl5Nc5mAul8v5+te/nu7u7ixfvrxn+w033JCFCxfmk5/8ZM6cOZPdu3fn29/+dl566aV85zvf6RnX0dGR8ePH95m3pqamZ//b/z27/Z1jDx8+fOm+KQAAAAaFyxrM3/rWt7J79+7ce++9ue6663q2r1q1qte4m2++OR/96EezefPmvPDCC5kxY0bPvqp+kv+d+841tr85zqdcdi8JXGnu4wJgsHHtg8oYNWp4v6vMl+3R0evXr88jjzyStWvXZunSpecdv3jx4iTJiy++2LOttra2Z/X47To7O5O8taJcW1ubJOccW7TyDAAAAP25LMH80EMPZfPmzVmzZk1uu+22AR3T3d395gm97X7lUqmUI0eO9Ow76+w9y5MmTUry1r3LRfcqt7a2Ft7bDAAAAP255MG8cePGbNq0KV/96lfzh3/4hwM+7uxHTE2fPr1nW0NDQ7q6urJnz55eY5ubmzNhwoSUSqUkydixYzN16tRs3769V1zv378/7e3tmT9//rv5lgAAABiELuk9zI888kg2bNiQm2++Ob/5m7/Z6+3VV199daZMmZIXXnghW7Zsyfz58zNu3LicOXMmTz/9dLZu3ZoFCxbkhhtu6Dmmvr4+s2bNytq1a9PR0ZG6uro0Nzfn4MGD2bRpU6/XbmpqyvLly7N69erccsstaW9vz7p16zJ9+vQsWLDgUn6bAAAADAJV5XK5fKkmW7ZsWZ577rnCfePGjcuePXty7NixfOMb30hLS0tee+21VFdXZ8KECVm8eHGWLVuWq666qtdxp06dygMPPJBdu3alq6srpVIpK1euzLx58/q8xjPPPJMNGzakpaUlw4YNy7x587JmzZp3dQ9zd3c5J0+euujjgQvnwScADDaufVAZo0YNT3V1Pw+avpTB/EEkmOHK80sDAIONax9UxvmC+bI9JRsAAADezwQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABQQzAAAAFBAMAMAAEABwQwAAAAFBDMAAAAUEMwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQIEPVDCfPn0699xzT+bMmZNp06Zl6dKlefrppyt9WgAAALwPfaCCubGxMdu3b89Xv/rVfPe7302pVEpjY2P27t1b6VMDAADgfWZIpU/gUtm7d2/27duXjRs3pqGhIUkye/bsvPLKK7nvvvtSX19f4TMEAADg/eQDs8L81FNPZcSIEZk7d27PtqqqqixZsiRHjx7Nyy+/XMGzAwAA4P3mA7PC3NbWllKplOrq3n8DmDx5cpKktbU1pVKpEqcG7zsH/+8lmTSmpmKv//9V7JX7am3vzA1f31bp0wAAoAI+MMHc0dGR8ePH99leU1PTs/9iVFUlNTVD38WZwfvPZ9ftfNdzfPrT1+fw4ZcuwdlcvClTPpWf/vTFdzVH3aU5FQDo15AhVyXxeydcaVVV/e//wARz8uZbsC9mH3DpvZtQPftLw69+9R+X6GwAAODCfWCCuba2tnAVubOzM8lbK80XqlxOOjtffzenBlygs39d97MHwGDh2geVMWrU8H5XmT8wD/0qlUo5cuRIuru7e21vbW1NkkyaNKkSpwUAAMD71AcmmBsaGtLV1ZU9e/b02t7c3JwJEyZ44BcAAAAX5APzluz6+vrMmjUra9euTUdHR+rq6tLc3JyDBw9m06ZNlT49AAAA3meqyuVyudIncamcOnUqDzzwQHbt2pWurq6USqWsXLky8+bNu+g5u7vLOXny1CU8S+B83McFwGDj2geVMWrU8FRX9/Pw6A9SMF8OghmuPL80ADDYuPZBZZwvmD8w9zADAADApSSYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACgQFW5XC5X+iTey8rlcvwXgiurqurNf/3sATBYuPZBZVRVJVVnfwCL9gtmAAAA6MtbsgEAAKCAYAYAAIACghkAAAAKCGYAAAAoIJgBAACggGAGAACAAoIZAAAACghmAAAAKCCYAQAAoIBgBgAAgAKCGQAAAAoIZgAAACggmAEAAKDAkEqfAMBZx48fz8MPP5yXXnopLS0tOXPmTB577LHMmjWr0qcGAJfc/v378+STT+anP/1pjh8/npqamkybNi133XVXJk+eXOnTA2KFGXgPOXbsWHbs2JFrrrkms2fPrvTpAMBl9aMf/Si/+MUvcscdd+R73/te/vRP/zS/+MUv8vnPfz4vvvhipU8PSFJVLpfLlT4JgCTp7u5OdfWbf8fbvXt3Vq5caYUZgA+skydPZtSoUb22dXV1Ze7cuZk9e3Y2bNhQoTMDzrLCDLxnnI1lABgM3hnLSTJy5Mh84hOfyPHjxytwRsA7+e0UAADeI/7t3/4tbW1tmThxYqVPBYhgBgCA94RyuZyvf/3r6e7uzvLlyyt9OkA8JRsAAN4TvvWtb2X37t259957c91111X6dIBYYQYAgIpbv359HnnkkaxduzZLly6t9OkA/5tgBgCACnrooYeyefPmrFmzJrfddlulTwd4G8EMAAAVsnHjxmzatClf/epX84d/+IeVPh3gHdzDDLyn7Ny5M0ly6NChJMnzzz+f1157LUOHDk19fX0lTw0ALqlHHnkkGzZsyM0335zf/M3fzIsvvtiz7+qrr86UKVMqd3JAkqSqXC6XK30SAGdNnjy5cPu4ceOyZ8+eK3w2AHD5LFu2LM8991zhPtc9eG8QzAAAAFDAPcwAAABQQDADAABAAcEMAAAABQQzAAAAFBDMAAAAUEAwAwAAQAHBDAAAAAUEMwAAABT4/wFlRwYQ3URxsQAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.boxplot(data)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "9063c55e",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.preprocessing import StandardScaler\n",
+ "\n",
+ "ss = StandardScaler()\n",
+ "data_scaled = ss.fit_transform(data)\n",
+ "\n",
+ "sns.scatterplot(x=data_scaled[:, 0], y=data_scaled[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "9466769c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.hist(data_scaled[:, 0])\n",
+ "plt.show()\n",
+ "plt.hist(data_scaled[:, 1])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "ecfc52e0",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.boxplot(data_scaled)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "86bdc3d8",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "kmeans = KMeans(n_clusters=2)\n",
+ "clusters = kmeans.fit_predict(data_scaled)\n",
+ "\n",
+ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "f9e257a6",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "celltoolbar": "Slideshow",
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "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": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tp/clustering/mars/mars.ipynb b/tp/clustering/mars/mars.ipynb
new file mode 100644
index 0000000..0b1f348
--- /dev/null
+++ b/tp/clustering/mars/mars.ipynb
@@ -0,0 +1,1521 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "335c108d",
+ "metadata": {},
+ "source": [
+ "# Hands-on clustering \\#1: \n",
+ "## Large Multi-spectral image segmentation: MARS"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fe466679",
+ "metadata": {},
+ "source": [
+ "## 3. Data exploration"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e59c1d62",
+ "metadata": {},
+ "source": [
+ "### 3.1. Read the data and understand the formatting"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b2939e4a",
+ "metadata": {},
+ "source": [
+ "#### Import first required packages"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "c3f78612",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "plt.rcParams[\"figure.figsize\"] = (10, 5)\n",
+ "plt.rcParams[\"font.size\"] = 15\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b56fdade",
+ "metadata": {},
+ "source": [
+ "#### 3.1.1 Read the data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "350ba4b5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "mars = pd.read_csv(\"mars.csv.zip\")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d5e3237f",
+ "metadata": {},
+ "source": [
+ "#### 3.1.2 Display data summary"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "af38dd20",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
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+ " 0.448774 \n",
+ " \n",
+ " \n",
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+ " 0.590190 \n",
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8 rows × 255 columns
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+ "
"
+ ],
+ "text/plain": [
+ " V1 V2 V3 V4 V5 \\\n",
+ "count 38400.000000 38400.000000 38400.000000 38400.000000 38400.000000 \n",
+ "mean 0.373672 0.408012 0.418404 0.420980 0.421814 \n",
+ "std 0.098974 0.080131 0.080369 0.081863 0.081315 \n",
+ "min 0.038469 0.233688 0.259045 0.269580 0.273937 \n",
+ "25% 0.299668 0.334763 0.343065 0.345050 0.344962 \n",
+ "50% 0.365481 0.388543 0.397193 0.399102 0.399245 \n",
+ "75% 0.445685 0.487916 0.502658 0.507322 0.508697 \n",
+ "max 0.832065 0.590190 0.580816 0.579686 0.580050 \n",
+ "\n",
+ " V6 V7 V8 V9 V10 \\\n",
+ "count 38400.000000 38400.000000 38400.000000 38400.000000 38400.000000 \n",
+ "mean 0.421358 0.426807 0.429181 0.419277 0.418314 \n",
+ "std 0.080683 0.080681 0.081414 0.078250 0.077991 \n",
+ "min 0.274090 0.275866 0.274769 0.273685 0.274631 \n",
+ "25% 0.345116 0.350838 0.352490 0.346149 0.345396 \n",
+ "50% 0.398413 0.403601 0.407299 0.396357 0.394954 \n",
+ "75% 0.508175 0.512995 0.515465 0.503711 0.502607 \n",
+ "max 0.579551 0.584240 0.591300 0.569333 0.567649 \n",
+ "\n",
+ " ... V246 V247 V248 V249 \\\n",
+ "count ... 38400.000000 38400.000000 38400.000000 38400.000000 \n",
+ "mean ... 0.327834 0.358084 0.366237 0.341929 \n",
+ "std ... 0.064647 0.056778 0.050779 0.059134 \n",
+ "min ... 0.143893 0.193508 0.219910 0.174218 \n",
+ "25% ... 0.272904 0.312169 0.330923 0.295109 \n",
+ "50% ... 0.334283 0.362259 0.367263 0.344043 \n",
+ "75% ... 0.379558 0.400942 0.398504 0.385884 \n",
+ "max ... 0.559236 0.596519 2.304593 1.393481 \n",
+ "\n",
+ " V250 V251 V252 V253 V254 \\\n",
+ "count 38400.000000 38400.000000 38400.000000 38400.000000 38400.000000 \n",
+ "mean 0.376129 0.394448 0.373834 0.370925 0.409842 \n",
+ "std 0.052337 0.056993 0.064088 0.062586 0.056333 \n",
+ "min 0.220138 0.215826 0.198084 0.186781 0.224686 \n",
+ "25% 0.339747 0.352853 0.324080 0.321077 0.369166 \n",
+ "50% 0.375732 0.397163 0.378828 0.372294 0.411261 \n",
+ "75% 0.409758 0.433080 0.420058 0.419563 0.447426 \n",
+ "max 0.661885 0.651398 0.624899 0.652349 0.699387 \n",
+ "\n",
+ " V255 \n",
+ "count 38400.000000 \n",
+ "mean 0.413357 \n",
+ "std 0.053984 \n",
+ "min 0.219101 \n",
+ "25% 0.375433 \n",
+ "50% 0.414135 \n",
+ "75% 0.448774 \n",
+ "max 0.655508 \n",
+ "\n",
+ "[8 rows x 255 columns]"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "summary = mars.describe()\n",
+ "summary\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ee6f8866",
+ "metadata": {},
+ "source": [
+ "#### 3.1.3 Data dimensions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "c066ab19",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Number of pixels: 38400\n",
+ "Number of channels: 255\n"
+ ]
+ }
+ ],
+ "source": [
+ "mars_data = mars.to_numpy()\n",
+ "print(\"Number of pixels: \", mars_data.shape[0])\n",
+ "print(\"Number of channels:\", mars_data.shape[1])\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5dea62a1",
+ "metadata": {},
+ "source": [
+ "### 3.2. Data preprocessing"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "925a0b36",
+ "metadata": {},
+ "source": [
+ "#### 3.2.1 Histograms of six randomly selected wave lengths"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "10f69442",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Exploration of different wave length distributions\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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hrdv2d78NmEc6U7uTpBltZ3t3AdZHxC+znyeyae12pvMZYKsA918e2Chzama9KyWrkt4BfLbDrJMi4tJsGQGnAScBuwF3Ae+LiH9tW9d84GLgENJx9ArgzA7fvBbGx4Rt+TXpT96id4LUv/YNEfHU5ERJOwJfBJ6IiI8V2L5OgjRE2Qxgf2B1y7wDs3mTVmXTNpO0N7BD23JmTVKFnFoJfOCrvbKzOvbDgPqalfGW9+YUJwPnt4YTIBtW7K+y+cPyVuDnwP3AN4B1wHGTMyXNAt4ELGt5zjLgKEk7tUxbRAr9nUNsq9kojTKnZta7srN6V0R8q+XxH7DtMKARsYJ0fA3SMKCTWocBvTU7S3wm8P5sOFCzSstb9O4M/FqXeXsAOw7WnETSDZI+JGmhpDdK+hypWD0rIp6NiKeBc4Alkk6WdDhwHWl7Lm5Z1aXARuBGSUdkF6ktJY0E4TF6pzBv8c0+i1RfpeTURqOquaxquyquKlntOAwoaYSjhS3LdRsGdCZpGFCzSsvbveELwPmS1gE3RcTG7AKz3yWNfVvUEGCrgT8G9iZddLYS+MOI+FzLMueQitzTgBcAdwNHRsQjkwtExERWEF+StW0tcCGp8LWGG+MLbMrKqZkNpuysehhQG2t5i96TgCtJnwZD0i9Id44RKbwnFdGoiFgCLJlmmQA+nj2mWm4lqR+TVZjPEhWqlJza6DgvjVFWVj0MqHU0bieH8t6c4gngLZIOAg4mfS3zMKmf0MohtM/McnJOm8mFbvOUlVUPA9os3hf0r6+bU0TE94HvF9wW68JvcOuHc2pWDyPKqocBtbGT90I2JO0u6VxJt0lanX1CRdL/lHRI8U00s7yc03ryBaTjpwJZbR8GtJWHAbVGyVX0SnoVqaP7W4E1pIA8P5u9J/CBIhtnVoRxKyKcU7N6GHFWPQyojZ28Z3ovBL4CHAD8CVv6+0DqIP+qgtplZv1zThumLh/c6tLOCiklqx4GdGt+n46vvH16XwEcHRHPZrcsbPUY6faJ1iC+e00tOadm9VBWVj0MaAO4WB9c3qL3CWBul3n7Ao90mWd9GJc3+LhsZ4mc0wYYt6GExlQpWfUwoDadcTnBlbd7w+eBMyXt2zItJO0GfBC4sbCWmVm/nNMaav3w1+3/1jjOqvXE+4Fi5C16F5M6u68EvppNu5T01ckG4MPFNc3GgYM8FM6pWT04q2YlyntziglJrwbeDhwOPAU8DlwB/F1EbCy+ieOp6cVg07dvlJzT+nEexpOzOjruPjSeei56JW1Pui3iX0bEp4FPD61VVimD7hwm+wp5JzN8zqlZPTir1it/KC5Oz90bsiFNDiYNYG2Wi/solsM5tVHzDTZ646yalS9vn94vAG8eQjusBnwgqw3n1KwenNVp+LhTnnH4wJp3yLLlwPmS9gRuIQ2nEq0LRMQtBbXNKqh9WJP2LgutgXE3hpFxTs3qwVkdsXEZqsuSvEXv32f/HpM92gX+qmZsTPeJsOmfGCvMOa0JZ2TsOavWlfcPxZu26JX0ZeC9EbEaeDHpbi6HA98GfjHc5o2Xulzo1SmIVf+0XJfXtl/OqVk9OKvVU8Xjgwve4ejlTO8RwM4AEXG/pBnA5cDBEXH/MBs3rur6Zq9ruxvCOa0Z52VsOavWlfcLw5X3QrZJ7fcIN7PqcU5tZHzwzsVZHQN1yURd2tmPfoteMzMzs8Yoo9ibHCGh/Xc1udCskl4vZIsep1mf/Ia3AjinFeecW8ZZrbiyrlPxPqFcvRa9yyX9qm3abR2mERG7D94sM+uDc2qVUsULhCrCWa2objdScgHcDL0UvWcOvRVmJan6KBMDcE7N6sFZraleiuBOY9lPtayVa9qiNyIcULOKc06rzwc4A2e1rroN1QmdC+BuZ4zroqkniPLenMLMzMxsrE11IVodi9xx4aJ3xBwOMzOzbdXl+FiXdpqHLDMzG6pOwxONm3HffjOrBhe9NnZchJiZmY0fF70j5MLLrNmccTOrqyaeIHLRa2OraWE2qzLnzcxGzUXviPgAYNZcTTxDYmbjqUn7Mo/eYGOtqWMRWvmadGAwM2siF70l84HRzMaVb0tsVk9Nya67N5iZDcgfZvPx62VTcfcgGxYXvSVyiM2ax7nujwsbs/qpe2bHonuDpPnAxcAhwFrgCuDMiNhUxu+v+5uk6ZrytU3djTqneTjTxXH+6qdOWbXite7/6pbbxp/plTQHWAEEcDRwFvAB4Mwyfr8PjvXhv9XojDqnZtYbZ9VatR4363AMHYczve8BZgLHRMQ64FZJs4Glks7Lpg1FHd4AtjWfdRqZkeW0F87y8HV6jZ3DSqp0Vq18nQrfqmZ3HIrehcDytiBeDZwLHAbcVPQv9AGy/tqHMmv/m1Y10DVWek6n4xyP3lSF8FQZdT6HaqhZde6aYTKfVSuCx6HoPRC4vXVCRDwgaX02b+CDqUPaTFP9XbsVwR73t29Dz2k3zm+99PJ16lR/U+dzYEPJqnPYPHm6PpSVy3EoeueQOtq3m8jmbUXSicCJ2Y9PSlo9vKYVZjfg56NuRAkqu506t/P/c3hRQU2pq1w5hSmzWtn3Sc014nXtM5+Txj2nUM9jal3fu3VtN+Rs+4C57KRjVseh6IXU4b6dOk2PiMuBy4feogJJujsiFoy6HcM2Lts5xnrOKXTPqt8nw+HX1VrU6pha1/duXdsN1W1740dvIH363KXD9J3p/GnVzMrnnJrVg7NqtTUORe8qUj+jzSTtDeyQzTOz0XNOzerBWbXaGoeidxlwlKSdWqYtAjYAd46mSYWrVXeMAYzLdo6jInPq98lw+HU1qOcxta7v3bq2GyradkV07C7XGNlA2iuB75GGVNkXuAC4KCJOH2XbzCxxTs3qwVm1Omt80Qubb5l4CVvfMnGpb5loVh3OqVk9OKtWV2NR9JqZmZnZeBuHPr21JWm+pNskrZf0oKSzJM2Y5jkHSfpStvxGSQ9IukLSnmW1O69+trPt+c+RdI+kkPTGYbbVRqfPPGwn6XxJX5O0QZI/5bfp83U9WNJnJd2XPW+1pI9I2r6sdpvVdZ9Q58zVvS4Zl3F6ayfrN7WC1HfqaGA/4BOkDypT9ZvaGfgJ8HfAg8CLgY8Ar5R0cET8apjtzmuA7Wz1bmCvoTTQKmGA98ks0vvjn4FvAK8bbkvrZYDXdVG27LnAvcCvAx/N/n3rEJtsBtR3n1DnzDWiLokIPyr4AE4jjYc4u2XanwPrW6f1uK4jSYOGv2LU21X0dpLuAPQo8K5sG9846m3yo1rvE7Z04zol7fJGvz1VefT7ugJzO0w7Mcvgi0a9XX40/1HXfUKdM9eEusTdG6prIbA8Ita1TLsamAkclnNdj2X/bldEwwo26HZ+FPgn4LYhtM2qo+/3SWR7WOuor9c1Ih7tMPk72b+7F9c8s67quk+oc+ZqX5e46K2uA2kb6DsiHiB9ojqw4zNaZP1ct5P0UuAc4C7S1zlV0/d2Svp14J3AB4fWOquKgfJgXRX5uh4KPAusLqZpZlOq6z6hzpmrfV3iore65tD5lo4T2bzp3AJsJL1BdyV97f9sYa0rziDbeTHwyYi4r+hGWeUMmgfrrJDXVdIewF8An2s7C2Q2LHXdJ9Q5c7WvS1z0Vlunr2DUZXq79wKvBt4O7Agsq/CV1bm3U9LxwEuBjw2rUVY5g+TBuhvodZW0HXAt8CTwZwW2y2w6dd0n1Dlzta5LPHpDdU0Au3SYvjOdP2ltJSLuzf77bUlfI105+XvAZwpqX1Fyb6ek5wHnk65ifY6kXYDZ2ewdJO0UEb8ovKU2SgPlwboa6HWVJNIV2QcBvxkRE0U2zmwKdd0n1Dlzta9LfKa3ulbR1kdG0t7ADrT1qZlORNwPPE66XWTV9LOdOwAvJN36ciJ7fDebdzVbOvdbcxSWB9vKoK/rhaShi46OCP8drEx13SfUOXO1r0tc9FbXMuAoSTu1TFsEbADuzLOirNP4C0ifqqqmn+18EvjttscJ2bwlwO8Pp6k2QoXlwbbS9+sq6TTS15V/EBFfH14TzTqq6z6hzpmrfV3i2xBXVDYI9Erge6Sv8fclndm8KCJOb1nuPuDOiHhX9vNfAb8Cvk36uuE/k8bR+xXwXyLiqRI3Y1r9bmeH9cwjhedNEfHFYbfbyjXI+0TSQtKZiP9OGs/5uGzWXdnZhrE1wH7m94D/A1wJXNa22h91GV7JrDB13SfUOXONqEvKHBTYj3wPYD5wO+lT1EOkMWlntC2zBriy5efjSePWPk4aRmQV6Y4pu416e4rczg7rmIdvTtHoR7/vk2xadHi8Y9TbVIVHn/uZK7u8pn5d/SjtUdd9Qp0zV/e6xGd6zczMzKzx3KfXzMzMzBrPRa+ZmZmZNZ6LXjMzMzNrPBe9ZmZmZtZ4LnrNzMzMrPFc9JqZmZlZ47noNSR9UdK/TzH/EkkTkp4v6XxJX5O0QVLX8e4kHS3p3yU9LWmlpEVt8+dJig6Pq4vcNrMmKTqrXTIYkja2LHOQpC9JelDSRkkPSLpC0p7D2EazuhtCTiXpL7LsPS3pXyQd1baMc9oDF70GcBXwMkkHtc+QNAM4FrgRmAm8mzS49De6rUzSbwE3AF8BFgI3A1dJ+p0Oi38QOKTlcXqHZcwsKTSrbJ29ycfPSbcbnbQz6W6HHwSOAj4CHAHcIum5A26PWRMVndPFwIeBTwJHA98HbpJ0cMsyzmkPfHMKQ9KOwCPABRFxRtu8I4BbgSMjYoUkRURIOgW4OCLUYX3LgedFxOtapt0CzI6I38p+nodvG2yWS9FZ7bD+g4F/Bo6PiGumWO5I4MvAKyPiXwbYJLPGKTKnkrYjfRC9KCI+3DL9HuChiHjjFO1wTtv4TK8REU8CXwQWdZh9PCm8X8mWnfJTkqTnA78NXNs262rgEEk7D9xgszFVZFa7OAF4CrhpmuUey/7dro/fYdZoBed0P2AnYEXb9FuBI7OiuBvntI2LXpt0FfASSa+cnCDpecBbgGsjYlOP69kPeB7p3tqtfkB6vx3QNv2zkjZJekjSBZJm9td8s7FRVFa3IknAccDnI2J9h/nPkbSdpJcC5wB3kc4Km9m2isrp9tm/z7RN30gqZvdtneicTs1Fr01aBqwlfQqddBSwKym8vZqT/bu2bfpE2/yNpP5J7wIOBy4DTiKdETaz7orKarvXAC+kewZvIeV2Vfa73hgRzw7w+8yarKic/hgI4OC26a/K/t21bbpzOgUXvQZARGwE/hF4W3bGB9JXM/cD3+pnlW0/q3V6RDwUEadExBci4o6IWAq8H/hdSS/v4/eZjYUhZHXSCaQPp8u7zH8v8Grg7cCOwDJJ23dZ1mysFZXTiHiCVCT/haTflrSrpPeSLlIDaD9j7JxOwUWvtboK2IfU93Z70lWiV+XsGzh5RneXtumTP6+d4rnXZ/++IsfvMxtHRWR1s+zq7rcCN0RE+9eoAETEvRHx7Yj4e9IZq98Afq+v1puNh6Jy+r+AlcDtpH66pwIfy+Y90rqgczo1D2NhrW4nBeh4YE9S5/m8X5f+CPglcCBwZ8v0A4FngR9O8dxo+9fMOisiq60OB+b2uo6IuF/S47T1JzSzrRSS04h4FHidpBeShiZbTSqEH46INVM8zzlt46LXNouITZKuI13Mshfwg4j4t5zr2CjpK9k6LmuZtQj4ZvZVTTfHZv/ek+d3mo2bIrLa5gTgYeCOXhbOLpJ5AWnYQTProOicRsTPgJ9lZ43/GPjMVMs7p9ty0WvtrgJOIV1h+uH2mZIWAjsAL89+nixU74qI+7P/fxS4Q9JFwP8FXp89/nvLepaSPvX+E7AOeC3pK5sbBzx4m42LIrI6Oczgm4ErO13wIumvgF8B3yZ1T/rPwJ+TvtXxhadmUxs4p5LeThoV6cek7hJ/RurLe3bLepzTHvjmFLaVrMP9j4F5wEsi4r62+WuAF3V46jsj4sqW5d5M6nP0EtKnzKURcXXL/ONJd455CemuNA8A/wB8PLsAwMymUHBW/xE4JCK2ucAmy+p7SQfR7UlZvRk4OyJ+XsCmmDVWETmV9EfAkmy5J0gnk5ZExOQ4vM5pj1z0mpmZmVnjefQGMzMzM2s8F71mZmZm1ngues3MzMys8Vz0mpmZmVnjueg1MzMzs8Zz0WtmZmZmjeei18zMzMwaz0WvmZmZmTWei14zMzMzazwXvWZmZmbWeC56zczMzKzxXPSamZmZWeO56DUzMzOzxnPRa2ZmZmaN56LXzMzMzBrPRa+ZmZmZNZ6LXjMzMzNrvOeOugFVtttuu8W8efNG3QwbA/fcc8/PI2LuqNtRV86qlcE5HYxzamXpllUXvVOYN28ed99996ibYWNA0v2jbkOdOatWBud0MM6plaVbVt29wczMzMwaz0WvmZmZmTWei14zMzMzazwXvWZmZmbWeC56G2ze4ptH3QQzq6h5i2/e/DCzxJloNhe9ZmZjxgd1MxtHLnrHhA9yZuPN+wAzG3cep7fhfKAzs0neH5jZOPOZXjMzMzNrPBe9ZmZmZtZ4Lnobyl9jmpmZ9c7HzeZz0WtmZmZmjVd60Stpf0mXSfqupE2S7uiwjCQtkfRTSRskfVXSyzssN1/SbZLWS3pQ0lmSZvSzrqaYaoxBjz9oZmbjzsfB8TWKM70HAa8Hfpg9OlkMnAGcC7wJeBJYIWmPyQUkzQFWAAEcDZwFfAA4M++66s7FrJl10ut+wfsPMxsHoyh6b4qIvSPiOOD77TMlbU8qVM+OiEsiYgVwHKm4PaVl0fcAM4FjIuLWiLiUVPC+X9LsnOsyMxtr/vBsZk1XetEbEc9Os8ihwGzg2pbnPAXcBCxsWW4hsDwi1rVMu5pUCB+Wc12N4AOWmZmZWWdVvJDtQGATcG/b9B9k81qXW9W6QEQ8AKxvWa7XdZmZmZlZg1Wx6J0DPBkRm9qmTwCzJG3XstzaDs+fyOblWddmkk6UdLekux999NF+t8HMzMzMKqSqtyGODtPUYV635XpZpuO8iLgcuBxgwYIFnZ5rFTLZpWPNOW8YcUvMqsndnszMkiqe6Z0AdmofegzYBVgfEb9sWW6XDs/fmS1ngHtdV22N6wFtXLfbzKyVhwHtjy/cHE+5il5JLxtWQ1qsAmYA+7dNb+/Du4q2frmS9gZ2aFmu13WNlaYEvSnbUbSScmpmAyooqx4GdAh8fGmmvGd6/03SXZJOkrTLMBoEfANYRxpaDABJs0jhWtay3DLgKEk7tUxbBGwA7sy5LrMmKSOnZja4IrLqYUCtkqr4wSFv0Xs4sBI4D3hQ0lWSjpSkaZ63maRZko6VdCywFzB38mdJsyLiaeAcYImkkyUdDlyXtfXillVdCmwEbpR0hKQTgaXABZPDmOVYl1mTDJxTMyvFwFn1MKD5VLEQs/LkKnoj4isR8UfAHqRPdXsBy4H7JX1U0n49rGZ3UuF5HfBqYH7Lz7tny5wDfBw4DfgiKWRHRsQjLW2ZIO0wZpACdyZwIfCRtt837bqsPtwPa3oF5dTGlPNVnpKy6mFAzTJ9XcgWEU9FxGci4rXAAcAaYAnwQ0l3SnrLFM9dExHq8liTLRMR8fGIeGFEzIyI10TEdzqsa2VEvC5bZs+IOKN9eLJe12XWNIPk1OrPxWt9DDmrHgZ0Gj6ZMj76Hr1B0jxJS4EvA4cAtwAnAo8A10i6sJAWmlnfnFOzehhyVkc6DGhELIiIBXPnzu2lrWZDk3f0hlmS/lDSV4D7gN8H/hbYJyLeFBGfjoi3AX8CvKv45prZdJxTs3ooKaseBtQsk/fmFA+T+tDeCBwREXd0We4u4LEB2mVm/XNOzeqhjKy2Dt25umX6oMOATrWu2nC3huGq2g2k8nZvWAz8p4h4+xThJCK+FxEvHqhlNi2H1bpwTs3qoYysehhQK11V65NcZ3oj4lPDaoiVa97imyvzycuK5ZyOt6oebGxbRWQ1Kzpfn/24FzA7GxIU4JaIWC/pHOAMSROkM7Lvp/MwoO8jDQN6LrAvHYYB7XFdZpWUt0/vZyRd02XeVZKuKKZZVoYmXbHalO0ognNqVg8FZdXDgA6JjyvNk7dP75GkT3Wd3ABcMFhzzKwAzqlZPQyc1WyozylvZhERQSpUPz7NciuB1xWxLrMqytundy7weJd5E2z5VGlmo+OcmtWDs2pWorxF7/3Aa7vMey3ws8GaY2YFcE7N6sFZtbFQla4ieYveK4EPSTpZ0o4AknaU9KfAnwPuK2g2elcyYE4l7S/pMknflbRJ0h0dlpGkJZJ+KmmDpK9KenmH5eZLuk3SekkPSjqrfZzPXtdl5ajKAWoMXImPqWalydun91xgP9JVmv9b0lOkMfwEXJ7NN7PRKiKnB5GuCP8WsM2tRTOLgTOAU9lyFfcKSS+LiIcBJM0BVgArgaOzdn2C9IH79DzrMmsgH1OtUar+gTnvkGXPAu+WdD6ps/uupAGzb4+IHw6hfVYCD1/WLAXl9KaI+DyApOuB3VpnStqeVKieHRGXZNO+CawBTmFLQfseYCZwTDbs0a2SZgNLJZ0XEetyrMusUXxMNStX3jO9AETEara+G4uZVcwgOc0OxlM5lDRU0bUtz3lK0k3AQrYUqguB5ZPjfGauJp3BOow0NFKv6zJrJB9TzcrRV9Er6QDghcD27fMi4pZBG2XWSdW/NqmaIef0QGATcG/b9B+Q7uLUutztbb/7AUnrs3k35ViXTcMZqScfU83KkavolTQfuIY0+HWncQGDNLC1mY1ISTmdAzwZEZvapk8AsyRtFxHPZMut7fD8iWxennVtRdKJwIkA++yzT98bYjYqPqZW3+QHSXcBbIa8Z3ovI13UcgzpwpRtDkRmo+Kd02Zl5TQ6TFOHed2W62WZbvOIiMtJF/uwYMGCjsuYVZyPqWYlylv0/gZwfER8cRiNMbNClJHTCWAnSTPaztDuAqyPiF+2LLdLh+fvzJYzwL2uy6xpfEw1K1HeovdHdOhzZGaVUkZOV5G+dt2frS/AOTCb17rcga1PlLQ3aVimVS3L9LIu62IYfXn9zUkpfEwtifu7j14V9il5b07xAWCJpH2H0RizTuYtvtk7rHzKyOk3gHXAcZMTJM0C3gQsa1luGXCUpJ1api0CNgB35lyXWdP4mGq1V6djdN4zvWcDewGrJK2hwwUqEfGqwZtlU6nLm8tGZuCcZkXn67Mf9wJmSzo2+/mWiFgv6RzgDEkTbLmhxHNIA+1PuhR4H3CjpHOBfYGlwAWTw5hFxNM9rsusaXxMtcaoQ22St+j9XvYws+oqIqe7A9e1TZv8+cWkG0ecQypMTwNeANwNHBkRj0w+ISImJB0OXEIanmwtcCGp8G017brMGsjH1JrwTZyaIe8d2d45rIbYaFWhr40Vo4icRsQaOg+h1LpMAB/PHlMtt5J0t6mB12XWJD6mmpUrb59eAJTsLelQSTsU3SgzG5xzalYPzqpZOXIXvZL+FPh/wP3A14CXZtNvlPS/Cm2dmfXFOTWrB2fVrDy5il5JpwIXAH9L+rqy9evPO/AtQ60C6tCZfpicUyvSuOdpmJxVs3LlvZDtZODDEXGepPZbI64GDiimWWY2AOd0jLgorTVn1axEebs37AHc02Xes3iQbbMqcE7N6sFZNStR3qL3PuCwLvNeS7p3uJmNlnNqVg/OqlmJ8nZvuAj4lKRngOuzabtLehdpMPn/UWDbzKw/F+GcmtXBRTirteGhPesv7zi9V0iaA3wYODObfAuwHlgaEf9QcPusZB6Au/6cU7N6cFat7up2TUHeM71ExPmSLgUOJd056XHgmxHxRNGNM6tboKrCOTWrB2fV6qiux+bcRS9ARPwCWF5wW8ysQM6pWT04q2blyFX0ZoNoTykiPtV/c8xsUM7p+Kjr2RZLnNV6cjfAwYzy9ct7pveSKeZF9q8DajZazqlZPTirZiXKNWRZRDyn/QHsCpwAfBeYP4xGmlnvnFOzenBWy+FvRGxS3nF6txERayPiGuBS4LLBmwSS3iEpOjze07KMJC2R9FNJGyR9VdLLO6xrvqTbJK2X9KCkszrc+aY2HF7rxzByauNj3uKbve8pibNqVVfnfUFfF7J18RNgQYHrg3Qv8g0tP/+45f+LgTOAU4FVpDENV0h6WUQ8DJANBbOCNMD30cB+wCdIxf7pBbfVrA6GkVMrWZ0POtYzZ9WsYAOf6QWQtCfwAVJIi3RXRHyr5fEf2e/bnlT0nh0Rl0TECuA4Uh+oU1qe/x5gJnBMRNwaEZeSxkJ8v6TZBbfVKsRFwbaGmFMbE85VOZzV6nMW6inv6A2PsqVz/aTtgJ2Ap4FjCmrXdA4FZgPXTk6IiKck3QQsZMtZ3IXA8ohY1/Lcq4FzSbd+vKmc5taLr0yttwrl1Arkg2zzlJVVSe8APtth1knZySAkCTgNOAnYDbgLeF9E/GvbuuYDFwOHAGuBK4AzI2JTEW21aqv7fihv94ZPsm1AnwZ+BnwpIh4rpFVb/EjSC4AfARdExGT/pgOBTcC9bcv/AFjU8vOBwO2tC0TEA5LWZ/Nc9FZQ3UNVAWXn1Mz6U3ZW3WXQxlre2xAvHVI72j1ECt8/AzNIV7JeKmlWRFwIzAGe7PDJcgKYJWm7iHgmW25th/VPZPO2IelE4ESAffbZp4BNMStXiTk1swGMIKt3RcST7RPbuwxm074JrCF1GZwsaFu7DK4Dbs26Ci6VdF7bt6pmlVNIn96iRcTyiPhYRHw5IpZFxB+SujKcLmmyze2fjgHUYV635TpNJyIuj4gFEbFg7ty5/W6CVYCvODcz60nHLoOkb0MXtizXrcvgTFKXQbNKy9un9yd0KRY7iYh9c7eou+uBtwHzSGdqd5I0o+1s7y7A+oj4ZfbzRDat3c50PgNsVnsjzqkNgT+8NdMIsuougzbW8vbpvR44HpgF3Ar8B7A7cCTwFHBNoa3rLEj9jWYA+wOrW+YdmM2btCqbtpmkvYEd2pYza5Iq5NQayhe6FqqsrLrLoBn5i94J0ifEN2RffQAgaUfgi8ATEfGxAtvX6q3Az4H7SQFeRxqm7GNZG2YBbwIub3nOMuBUSTtFxC+yaYtIHfnvHFI7zUZtlDk1s96VktWIWA4sb5m0TNLzSV0G/3pysQ5PLaTLINlxecGCBT2f1bZqKfrbplF9eM7bp/dk4PzWcAJkHeP/Kps/MEk3SPqQpIWS3ijpc6Ri9ayIeDYingbOAZZIOlnS4cB1pO25uGVVlwIbgRslHZF94lxK+lrHHe6tqUrJqZkNbJRZvZ50y+N5tHQZbFtmF9xl0Bok75nenYFf6zJvD2DHwZqz2Wrgj4G9SZ8gVwJ/GBGfa1nmHFKRexrwAuBu4MiIeGRygYiYyAriS0h9jdYCF5IKX5vC5Kc6f41ZS2Xl1IbI/XjHQhWy6i6DffJxsn7yFr1fAM6XtA64KSI2Zl+R/C7phg+FdGKPiCXAkmmWCeDj2WOq5VaSxiY0Gxel5NTMBjbKrLrLoI2dvEXvScCVpGFNQtIvSHeOESm8JxXaOtvMZ336N4YX3jinZvVQSlYl3UC6iO3fSGd0F2WP90XEs8DTks4BzpA0wZabU3TqMvg+UpfBc4F9cZfBxmtS/ZH35hRPAG+RdBBwMOlrmYdJA16vHEL7zCwn57Se6vThzF/rFqPErLrLoBn5z/QCEBHfB75fcFusgso6EDfpk2RVOKfV1148OgfjadhZdZdBsyT3Hdkk7S7pXEm3SVqdfUJF0v+UdEjxTTSzvJxTs3pwVuuvqR9Wm3hX01xFr6RXke7Y8lbSPbn3B56fzd4T+ECRjbNmalqIqsY5NasHZ9WsXHnP9F4IfAU4APgTtgxcDamT/KsKapeNERfBhXNOK6yJZ0+sb85qQ7Tm2vmurrx9el8BHB0Rz0pS27zHSLdPNLPRck5rxgfJseWsmpUob9H7BDC3y7x9gUe6zLMaK+pKbR/YS+Oc1oDzYDirjeURTqopb9H7eeBMSd8kDWgNaWzB3YAPAjcW2ThLmnhwbOI2VYhzalYPzuoQjeI405RjW1O2o13ePr2LSXdtWQl8NZt2KWkMwA3Ah4trmpn1yTk1qwdn1axEuYreiJgAXg2cTPpUugL4CSm4v9lyW0JroKkuwJnqU6Ev3CmXc1pdTctB07anbM5q8zkj1dJz9wZJ25Nui/iXEfFp4NNDa5WZ9cU5NasHZ9WqqsmFes9Fb0Q8Lelg0n27bYz1Eog63VK1SZxTs3pwVsdPFY+Lo7zgbhS/O++FbF8A3gzcVnxTrGmq9GlxzK6kdU4rqEp5KNKYZatozqpVRlP3Ua3yFr3LgfMl7QncQhpOJVoXiIhbCmrb2KvjG7CObW4g57RCnAmbgrNqVqK8Re/fZ/8ekz3aBf6qZmz54F4ZzqlZPTirZiWatuiV9GXgvRGxGngx6TaJhwPfBnxlqVkFOKfV5A+C1s5ZtSoal31VL2d6jwB2BoiI+yXNAC4HDo6I+6d8ppmVxTk1qwdn1SphXArdVnm7N0xqv0e4mVWPc2pWD85qg41jcVlVee/IZlZr3vmYDYezZTY952S0ej3TGz1OM7PRcU4rwgc2m4azOsZah/lr3VeUOezfuO6jei16l0v6Vdu02zpMIyJ2H7xZNq5vSBuIc2pWD86qbaOKN69oml6K3jOH3gozG5RzOmL+oGo9clYN6LzPGPbNXsZ9PzVt0RsRDqhZxTmnZvXgrNqw+S6J3flCNjMzM7MKme6M7LzFN/d81nZy2aqe5S2zXS56R6Sqbz4zs355v2ZWnNZCdarCtVvuqlzojoqLXjOzAfnAsi2/JmbD0Zqt9qLYptbvzSlsCPyGLYf7O5kNj/djNky97r+b9D5s0raMmoveEfIb2czMLD8P79WZ64qpuXuDmdkAfJDpzl+52jD5vWV5uei1seUDsg3C75/e+XUysypw94aSeedvVn/OsVk1dOrj63xaNy56zczMrPZc7NZXWReYu+g1M+uRD6r9a3/tfBGS9aqX3Dmb1gv36S2RQ1lN7ptpZmY2esM+Fo9F0StpvqTbJK2X9KCksyTNKON3V/32f7aF/0ajNcqcTscZNtuizKw6d1akxndvkDQHWAGsBI4G9gM+QSr4Tx/G73RIzfIZRU6n4xwPl7s71FMVs2rWq8YXvcB7gJnAMRGxDrhV0mxgqaTzsmlmgO/WNkLO6Zjr9iFjMou+GUFllJZVf/AcT8PM+jgUvQuB5W1BvBo4FzgMuKmIX+JwNstk6KY7ELcuawMpJaedtH7QcY6rp/Vv0ksebeiGmlVn0GDr90GR+R6HovdA4PbWCRHxgKT12TwH1Dqa6m/bPs9f1Q6slJxOVdg6y/U11Tc0/lBauKFk1fmzbor8sDsORe8cYG2H6RPZvK1IOhE4MfvxSUmrh9e0QuwG/HzUjRihSm6/zs39lBcNoRl1kiun0F9W+/i7FKGS79Ee1K7dLX/frdpe4N993HMK1Tqm1u492kHdt2Fk7Z8m1x2zOg5FL0B0mKZO0yPicuDyobeoIJLujogFo27HqIz79jdMzzmF+mS1ru/RurYb6t32mqjEMbUJf+e6b0Pd2j8OQ5ZNALt0mL4znT+tmln5nFOzenBWrbbGoehdRepntJmkvYEdsnlmNnrOqVk9OKtWW+NQ9C4DjpK0U8u0RcAG4M7RNKlQlf96d8jGffubosk5ret7tK7thnq3veqqlNUm/J3rvg21ar8iOnaXa4xsIO2VwPdIQ6rsC1wAXBQRHkjbrAKcU7N6cFatzhpf9EK6ZSJwCXAIqc/RFcDSiNg0ynaZ2RbOqVk9OKtWV2NR9JqZmZnZeBuHPr21JGm+pNskrZf0oKSzJM2Y5jkHSfpStvxGSQ9IukLSnmW1uyj9bH/b858j6R5JIemNw2yrNV+feTxY0mcl3Zc9b7Wkj0javm25K7P3afvjwG7rLqHtPe9LJB0t6d8lPS1ppaRFVW/3sF9zG0wTjn91P4b1+TeY1yVXV5fV7umMyzi9tZL1mVpB6jd1NLAf8AnSh5Sp+kztDPwE+DvgQeDFwEeAV0o6OCJ+Ncx2F2WA7W/1bmCvoTTQxsoA78dF2bLnAvcCvw58NPv3rW3LrgLe2TZtzYBNH/q+RNJvATcAnwLeB7weuErSRER8uartzgzlNbfBNOH4V/djWAHt/yDwTy0/V+fmGxHhR8UewGmksRBnt0z7c2B967Qe13UkacDwV4x6u8raftJdgR4F3pVt+xtHvU1+1PfR7/sRmNth2onZe/JFLdOuBO6uUtu7rGubfQmwHLi9bblbgK9XvN1De839GOzRhONf3Y9hA+zz5lX9mOvuDdW0EFgeEetapl0NzAQOy7mux7J/tyuiYSUZdPs/SvqUedsQ2mbjp6/3Y0Q82mHyd7J/dy+ueVMa2r5E0vOB3waubVvuauAQSTvnb+5m474PHGdN+NvX/RhW5N+gUlz0VtOBtA3yHREPkD5lTdvnLOsLtJ2klwLnAHcB/zyMhg5J39sv6ddJX1l+cGits3EzUB7bHAo8C6xumz5f0rqsL+LXJRV1YBnmvmQ/4Hnt6wd+QDq2HFDRdk8a1mtug2nC8a/ux7BB93mflbRJ0kOSLpA0cxiN7IeL3mqaQ+fbOU5k86ZzC7CR9KbdlfRVw7OFtW74Btn+i4FPRsR9RTfKxtageQRA0h7AXwCfazuD8h3gA8CbgN8HZgC3SnpVvw1uMcx9yeTz29c/0Ta/H8PeBw7zNbfBNOH4V/djWL/t3wh8ktQt43DgMuAk0lniSvCFbNXVaSw5dZne7r2ksL+E1Ol8maTfjIinC2zfsOXefknHAy8lHcjMijRIHpG0HakbwJPAn2214oi/blv2ZtIFJEuAN/fR1nbD3pe0r0dT/N48htbuEl5zG0wTjn91P4blbn9EPASc0jLpDkmPAJ+S9PKI+Ndim5ifz/RW0wSwS4fpO9P509dWIuLeiPh2RPw9cBTwG8DvFdnAIcu9/ZKeB5xPulL+OZJ2AWZns3fQ1rfMNMtjoDxKEumK8oOA10fExFTLR8QG0tmqV+RtaAfD3JdMbkf7+id/nnb9Uyh1H1jwa26DacLxr+7HsIH+Bm2uz/6tRLZc9FbTKtr6zUjaG9iBbfvPTSki7gceJ90qsi762f4dgBeSboc5kT2+m827mi0XEJnlNWgeLyQN+3N0ROTJ76BnSmG4+5IfAb9sX3/287PAD/to76RR7QOLeM1tME04/tX9GFbY34AtmapEtlz0VtMy4Ki2T3aLgA3AnXlWlHXmfwFp/MK66Gf7nyRdSd76OCGbt4TUb8+sH33nUdJppK9b/yAivt7LL8su+lgI3NNfc7cytH1JRGwEvgIc17boIuCbEfFEv42m5H1gwa+5DaYJx7+6H8MK+xsAx2b/ViNbox4zzY9tH6SO4g8BtwJHkMb2fBL4WNty9wGfbvn5r0hXq76FFJg/JQ22fh+ww6i3a9jb32E986j4mIF+VP8xQB5/L3v/fRZ4ddtjbrbMzsDXgD8hXfixCPgW6YKQBSNse0/7EuC3gF8BFwH/DTiPdJb3d6ra7mG/5n5U+z1b5W3osJ6RHMMG+BssJd3E4pjseWeRCuUbRv2+2tzGUTfAjy5/GJgP3J69YR4ijds3o22ZNcCVLT8fTxrb73HS0CKrsjfgbqPenjK2v8M6RrLD8KN5jz7zeGX2/uv0eEe2zPbAjcBPs6LrCeBLwKtH3Pae9yWkC7++x5Yr5o+vcrvLeM39qObfvurb0GEdIzuGDfA3uDvL1DOkovgs4Pmjfk9NPpQ11MzMzMyssdyn18zMzMwaz0WvmZmZmTWei14zMzMzazwXvWZmZmbWeC56zczMzKzxXPSamZmZWeO56LWOJH1R0r9PMf8SSROSni9pgaQvS3pM0uOSVkj6r23LR5fHxuFvjVkzFZlTSTMkfUjS17JlHsuWP7icrTFrrpxZPT/L4QZJHceVlXRll2Nq+23BrYWLXuvmKuBlkg5qnyFpBunWgjcCuwMrgOcCfwi8Pfv/lyW9qOVph3R4/Jx0u0Mz60+ROZ0JLAbuyub/AfBL4OuSXjnk7TBrul6zOhN4N+kGG9+YZp2r2Pa4uqa4JjfPc0fdAKusz5NCdzxwRtu83wZ+jRTiNwA7AcdExFoASd8gFbSvB/4GICK+1bqC7OzRbtk6zKw/ReZ0A7BvRExMrkDSbcAPgVOAdw5zQ8warqesRsRaSbtGREg6BXjdFOt8qv3YalPzmV7rKCKeBL5Iui99u+OBR4CvAM8DfkW6L/ekJ7NpmuJXnAA8BdxURHvNxlGROY2ITa0FbzbtGeD7pDPFZtanHFklfKvcoXHRa1O5CnhJ61ebkp4HvAW4NiI2ATeQPr1+QtLuknYHLgQmgOs6rVSSgOOAz0fE+iFvg1nTDSWn2XqeD7wSWDnE9puNi16ymsd8SeskbZT0dUmHFdnYJnLRa1NZBqwlfQqddBSwK1m3hIh4kPTVzFtJn1QfAY4BjoqIR7us9zXAC4Grh9Jqs/EyrJwC/AUwB7ii8FabjZ9ps5rDd4APAG8Cfh+YAdwq6VWDN7O5XPRaVxGxEfhH4G3Z2VlIX83cD3wLQNKewPXAPcDC7HEPcLOkfbqs+gTSGablw2u92XgYVk4lvYFU9H4oIlYPdSPMxkAvWc2xrr+OiL+JiDsj4npS39//Bywpss1N46LXpnMVsA9wiKTtgaNJne0n+xydSrog8tiI+FJEfIl0NmkT8MH2lUl6bjb/hqy/oJkNruicHgxcA1wWEReV0H6zcTFdVvsSERuAW4BXDN7E5vLoDTad20lfhR4P7Em6Arz1a5gDge9HxC8nJ0TEM5K+D+zXYX2HA3PxqA1mRSosp5IOAG4GbgPeO+R2m42b6bI6KF8ENwUXvTaliNgk6TrShWd7AT+IiH9rWeR+4PWStps8c5td/PIyOo/McALwMHDHUBtuNkaKymnWDWI58CPghD4urDGzKfSQ1b5ImsmWbkvWhbs3WC+uAvYgXWH6D23zrgD+E/CPkt4g6Y3A/yV9gr28dcHsIPtm4JqIeHbIbTYbNwPlNDtoLiNduPYx4NclvTp7/EY5m2A2FqbKKpIWSjoWeHn287HZ40XZzztnd2z7E0mHS1pEGu5sL+Avy9qIOpKHg7PpZB3ufwzMA14SEfe1zT8c+AjprBHAvwMfiYg72pZ7M6kT/yEeUNusWIPmVNI84CddVn9/RMwrvNFmY6iHrK4BXrTtM3lnRFyZ9QX+B+Bg0hjaTwPfBJb62Do1F71mZmZm1nju3mBmZmZmjeei18zMzMwaz0WvmZmZmTWei14zMzMzazwXvWZmZmbWeC56zczMzKzxXPSamZmZWeO56DUzMzOzxvv/VR/HeYHdal8AAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_index = np.random.randint(0, 255, 6)\n",
+ "\n",
+ "\n",
+ "print(\"Exploration of different wave length distributions\")\n",
+ "\n",
+ "for i in range(6):\n",
+ " # plt.subplot(2, 3, 1)\n",
+ " # plt.boxplot(mars_data[:, plot_index])\n",
+ " plt.subplot(2, 3, i + 1)\n",
+ " plt.hist(mars_data[:, plot_index[i]], bins=100)\n",
+ " plt.xlabel(\"V%i\" % (plot_index[i] + 1))\n",
+ " plt.ylabel(\"Frequency\")\n",
+ " plt.tight_layout()\n",
+ "\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f81aaeeb",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "We can see that some wave lengths have clearly different values from different kinds of pixels.\\\n",
+ "For some dimensions, they could be used alone to define two distinct clusters easily.\\\n",
+ "Overall, the six wave lengths selected appear to be more or less symmetric, although some right spikes are higher than the left spikes, it would not hurt to simply standardize the data. "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "da6df892",
+ "metadata": {},
+ "source": [
+ "#### 3.2.2 Box plots of all wave lengths"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "cd8fdaa0",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.boxplot(mars_data)\n",
+ "plt.title(\"Box plots of all variables\")\n",
+ "plt.tight_layout()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "25b1af85",
+ "metadata": {},
+ "source": [
+ "##### Interpretations\n",
+ "\n",
+ "Some dimentions (wave lengths) appear to have much wider spread than others $\\rightarrow$ Need to normalize the data.\\\n",
+ "Overall, the median appear to be centered in all the box plots. and they look rather symmetrical $\\rightarrow$ Standardization"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "50c866f3",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Ai9HTFiIIAlu2bGGrojBFcwpnRlfSvCef/Vnl/N8Pfo0z4uelLV9HSWh4jlPRaTVcfMG5vNrRw70LjuexE8/it/c+hoyOXsWKkkioq2qoVCqVSjUEPveJniAITuBNoBY4AxgB3EZ6VY+fHsEpvg+s/8D3/cc6xv+UOdxDyJxDLNYFwIFULgAzQvWMaHgKpn+NktK5UDiVoGhj/ZYttESXcvPAXXzzspso7O5h4r49bBk1nrmBZn6iWc9LOg+PdDxAhpSN3nA5jy65mH8ddwkoCnn9fYxtrGNSYy3HizGk/TvI7H+T7aPG8OdzL+Yrb4cJN4+jZ+djlC+9mf7BVYT7zkGf6qEvz8Sbo66mPa+SjmgC78ICnMhsH3TT1ejkm4FHecdbSfb+Ii4MbadQ6qc1t4gLe17EkfCT++gfmW4ys1E3gZTmDLaOyGSEN05gcCyDO98iY9qJw/lWqFQqlUr1pfS5T/SArwNG4GxFUfzAG4Ig2IBbBEH4w8Ftn6ROUZSNQx7lUVLicUzhfrpypxIKtwLg01Zj14iU77gbDA447hbQmfD5fNx7990Eg0Gs5gwaKGdCXzNxjZb18+dxanwdp3e+hai38PVwP18TNcSzTGjbf8wmynjFsoRGbRGmeJTRiVaOL9yOVddF2yW/55pgCUlJw4j+DiyBDvzSOHoGf0dp4icMmj34NRWEda00ZY6jVmtkXEpmht2MTSPRHImxCZHdYy+jZLCIU5r+wun+bcjA67nfRVM2H+vUenbXryA8cIDzvB4ejGziAWOA9dnnM7W5Dr9+HL11L3zhE71kMoAoGhHFL8I/KZVKpVL9r/gi/FU6CVj5oYTuSeD3wALg5WGJ6r8Ua2hAVFKEzMV0efcQS4mI+vFMMkkI+16GWd8AnYl4PM6TTz5JPB7nnK9czTOrWnhMq2G8r4mgouernicoLCzizcJbcCdMjLV4sXt2YnDvJmUey4T5X2PW1r/h69gHgH3aRexJnIBjx4PMXvVDJmVfxFRhNxMHJZoMM5FFO4NaA7UvX4W/bTqKqGXtWCcRrZG7qgs4McvEzr6d7HLvolgQWZo3gl+1Z/A962zeuPgUMtf9nOejlfwqZwkZAwGuj5cyauytrF27ljfLDZxs2M5Vex5nh7MbUyjIQHIc/UHPML8b/7lQqIHmprvodb+CQZdP+Yj/I+bvorv+CfLzzqNkyneHO0SVSqVS/Q/7IiR6I4FVH9ygKEqbIAjhg/s+LdF7UBCEDKAPeAK4SVGUyJBEehSitbUA+K0l+DpfQidn4TU7mDywHRSZwMgL2LtxI3v27KG1z03f0jM4uXmARJkVQ2IOFXUy3zzzeLzJq/nrC6/S3R8g2y5S3ziIKJZhzZmFt68Pzct7qC6/jNnZL0JGGW1Fl/PSyy+jj/2N8fI6vufeygT24RPsrMmcSUEYorsm0TP/ZbydN2P1t7K/tAKNnKSp+0kWv/0o4WQYURCRFRmAMdmns81wDrPrI5TavklDngOrJNJotvHTkJ/KzbuI55aj8/tY3z+aa097kTkrf0VHRhUAnsEv1lJoiiwz8MD9dMVfwV21FyGpYHpXJF7RSW38+wCIMjR4/oqtfzr2jCn09q3A6ZiBwZA3zNGrVCqVaigpioIgCMMdxnu+CImek/QEjA8bPLjv48SAu4DXAT+wEPgh6TF+ZxzTCP8Dkb17kXUGQpZ8XHKQ3mQVCAKrwgqvzXqMnDX7MHrciE4Xm+dNxR1Oca5fYE5zhO+P1fFsTjWlmw9QU1ODu6CU5ZMmoJVEvn9SFv6UzJ2dA+SME7lisB13SxMPeiaR6kvB/ufw54xg2bQSbPECXtvzIuZYhNcNZ+HVaRi7s45eTkY+ECYiF5IRfpWIfiymWB3/qrmXE0tP5KzKsxgtVCKZdDzV9gx/3v5nvlE1hV2BbHYZrUyVFO6ZWUVtIM61NS1ssozFoZHwZuSxCVjZNsANOWNpG7RQ0TdIaDBruN+Oo9Lzp1tpND5EbIyCprYIa9cJ6KqmYWnfhf+NJzBmVWIbt4B9+j+ye8fX0BidROMdOIQJTFn03HCHr1KpVKohsmPlK2xf/iJX/eWfn5tk74uQ6AEcbvkO4WO2p1+gKN3Atz6wabUgCL3A3wVBmKgoys6PnFAQrgWuBSge4jVYo3trkfPKSUk67HrYlSwGRWaHfTxi0s3ewgIoTLd4FWo0XPGmG118L3vHtXFc/2xezSnlHx2NZM1YxBq9jTFmI3aNxM+bewE43mVjZyDMH6wFLF04ilAqhVWRcaUSPOuLYwmkCOgllk6+ixv6H2N0xZXkrn6E0qbX2DXpO/TtuhAxFWdLlY2ERove9y43TPk+i5ST8a/oprVuL5JOw3FzF/KS/SXWd93Li2e+iE7SUeep4+KXTsWsNXPHhG8jCno2d60iy1WNaF3In5uS3Gi/gvFiDaM7A0SCjiF91seS+4F7aLA8RLwa9ME/sme/EzmpwEYwWqdz/I+uxGjT0bSzD+ubNfiWvgYDMYytIt5pu/AP7sHmHDfct6FSqVSqIeDp7MDb201bn5s+g5lpdvNwh/SFSPQGAcdhtts5fEvfJ1kG/B2YDOz88E5FUf4J/BPSS6Ad5bmPivPCCwk0BHm60ESH5iFEs4igJJHi7cxuXsYADjqcfUxkLLktJt4qfJGINgBx0LKaSu9t1BSOQABOzrLzl+oitvVsIO5+G4OocIV9LrdWzuZHB3rYGQhjlkS6Ywk8iRRFMTjvLT/7cht4bdpIbsr/HqZIilOchbwzSeC4zXewee6PyevcwlOzxyEoMvrIdnoenMfLod0fuIsUvNjK1OwTeXrE37l+9fXMyp/FXTvvwqgxohW13PROuivTqDESST5PhWMZj874BT/YPsiBghFEpT0oCetQPupjQlFk2lfcRmvyHmJVConmv7F/q56i0U4mTLfhvvNO9mmP46W/7nzvNTrtWYz7XSMuUwr7pedRE/0dDet+yuTTXhy+G1GpVCrVkElEowDc1dzFUzGBhnnj0YrD27L3RUj09pMei/ceQRCKAPPBfUdD+dDXYeM4+yy6N3TR7evEjJ8AGSiChuy+ZUw9cBLmWAENE9bwpuE5avNgZGgEE9suxZTMZ9mYP5LV+3teyPk7rtnFbOvdxtUv/5DawD5yyCIgJ/le57Nk4+KKyVdy7pTzMGlNKIpCTzTByz/fhFQSY7f9Xib1V6K4JrInVcLzI5ZwincN8e2bmLPqx0hyiu7sJdiiLdgiEiWJbCosXox0op05EcXhwlfrZVttNdONx7Fd3MSajjUUWYu4d+m95Jpyebv9bQwaAzPyZrCuYx23br6Vb791DacX/4C/JSvZPNLF1GaBZCSIxmgZ7rflsGIxN9vXn0/Y2IZYqEF030bTVj0Tjyti2gInzZddgqmzk0mpt+iedhHiYD+Wrj3UTLiOmsk3UjUth25Jg3bvawxO2kmgvxZr5ujhvi2VSqVSHWPxaBiAnlCImGimJRKj0mwY1pi+CIneq8APBEGwKooSOLjtAiACrDnKc5178Ou2YxXcf0PUSQT1GuazgZXiaehD65jWUo45ks+oaTmc7TmNiv4sMkbncErZbALTtbxw/17OTFzFI8Y/c9W+r6PrN7N/cD+ZCSff6b+UkzQLwG7grdR2Vsiv8Mftf+KB2ge5bsJ1TM6ZTE1THWsyVtKZWQNJhSuT13LS+Amcu/w6dpVcT3txHhumTuPk1at4e/IMfCYbzoGXKPRVU+1bj9T5OLEKieCmKCkXJF0KYzIWIbZfxNS2Uyg4WcOCxZNJLe8maG1jyXGLQSPQ3x5ksnEGT5zyBN9865ssa/4NxY6f8s64Qia0DhJzt6IpHjPcb8lHuJ95kH38iaQlSubqQgynP8CbL7VSbO7H8eK9bP1DPcZIjB9fdx15nja+9/QT9Oa4ePCkyVzzyu3Uzr6R/VtEUokUZss3yYtfR9PaW5hw9tPDfWsqlUqlOsb+3aLnjcTAbKY+HFUTvSNwN/Ad4DlBEH4PlAO3ALd/sOSKIAgNwBpFUa4++P0tgJV0sWQ/MB/4AfCcoigf7H8cNiG9gCIIDCoZJCUNGf51jOy5AgGBojoPKa3INV+9HH2pHTkcRti4kWpTG3Uby1gy5iw6hL0kukRmeU5ldMcC4rKON2xJos2DyKlS5vMtpthbWF/6Mr/e9Ov3rivlahgXqGRc10UoegPh51pZEiyjLuNVtuecTnVFGy31hSxfcBy6VAwxvIZS/7mEJz5C9IpY+iSKiE52IMgp4kWrmLutmtruKbQvl3l65VayBQGrJCBt6KI7JTDgSf/wZ+aZuPn0P3JT6ru4I2/iy/46NaVWQu42zJ+zRC/W3sY+/29IFkFpz8X0z7iYDY+1Yg+3U/LO7ewvKqC/bBTvHL8I88SJrPaNZe3kM4jodAhCnGyvzEVv3IiUkYFbyWbnhG9j3nIumqnPIMtxRFE33Ld4TCUSPhoafkde3jk4HFOHOxyVSqU65pq2b2H/+jWc/O30sCRSCYgHwZieGxo/mOj5EgkAGsKxYYnzgz73iZ6iKIOCICwB/ka6lIoXuIN0svdBGkD6wPf7Sa+KcQ3pgsttwB+B3wxtxEfOL6V7kJuVcqRENycFc5gwoRCL00C2Q4fGIeJ96h5C694h1tgEskxOlgKuJYjiuVTKCzFL4JIEMkY60VfY8fVHMVq0FFQ58faGqV1tYOmuEjrsB4hqQlhjLsqkIi68fCLvPFRL40CIaCiGwzIek/82BMtSVo+aAkkNu0aMpChQQ1CJUmUOEB8vU1r6TfJyz0GSTAiCREqOsfGdhQza7mZaz80M6LPpTGnoTsXoSOghGsMiwnijSEqB1t4wq+9pYO5px/Fg9G4s4StoytXi7+0he5jfjw9rW3s7iTKFYtvP2LZ9LH0t3WT3bSM7uo5v3HgzvTkZXOE+wHmpANb2GopGTWGV3MLkzBGEY3EuPfVcqj09jMzIptHjIbdnI70swhB7h569T5M/7tLhvsVjJpkMsnPXVfj9O+nuXE34wO1MO3kMOaW24Q5NpVKpjpmm7VvYt241J1x5JVKoBxregjdvgZnXwYIfkoimq7cFk+njd72zgZRjMZLdPmwxf+4TPQBFUWqBxZ9yTOmHvn+SdGHlzy3vwXJ+3WIR9vBTLKmcxMKFoxFFDb6XX6bzO7eS8vsxz50DZ1TjLt9LkANo3K9xkmcWhtlLSTy5H8msI/drYxH1h76dJWNdTFhShBxPMfBuFV09YToHopRPysY4JpOiE0upf6aBWlEm1pmJJVfHqMEVbMw4nZcmzyEpaTBHNqMP5ZNTvIvKyp8RijawY+cVRKPtAIiiHpOtkuCYffgCy8j234BmxEuYyp8HWUTqNaJrS4BdwrTPyPTWWewuPYu21wqQpopYw36Chgx8AwOHfUb7/ngh9vLZ5J/znaF9Mz5EllN0a1cidxax8e0qQh4fY2sfIJ6d4LLv3kSh183lW97ClvJTj44QAyi7mrAaNGxQNuOPyYwfUcQN1/wQAGPEz723/gp31nj6tlxAh/ivL02ilwz62PLaCYSd/VTk3cC6lyN4myPYXC3klI4f7vBUKpXqmAl5BwGIrb0L0467YdzBEWHv3gX1r5OMpn/nxQ3pMef7FIGnLjufs/75MMbc3GGJ+QuR6H1ZDabSgzZRZK43rULiad5efSuirEHRxDFe62TszAfRlhex4d3j0jV5ZEhlgf/Vv1B81XnELhuDZNUdkuQlBwZo+9MPwB/DMecUbCedRNaCIrKAsakYicQA0WgXtngbAI2DMk5tF6W+aprElVxjXcTdeic5gV764uuY7F2MueI1WjvuIRrtIitzCYUFFyGIOsLhFrq7nwFE+mfWEOBnxOhAQETU6tCWWkmVJAEZ7ygPiu8AI1/6B3HrlRT5q+gXPQSsmfQ1hw77jLpHbcHTW0Oe8u3PtCZR5477iDll2pbfiCxHmbjtdvozRb519U2McNdyQkMN1+fuQLfge6wID/CXpiZm+CJkdfVilGO4xASpRoGA5MIeCTC2q5PHTj2Ri95YTr10Ht2BlcTjA+h0rs/snoaCoijU3vdVuqyV2FYUUt+yA2/VRSCk6KhrANRET6VSfXmEfOlEL+p1Y0qEINADWdXpFr2Xvo0jlUXEbCOk0wLQlZeH7vgg+uzh67NSE71h1B3rAsVFbnI/Fdp+8hInIQcDBLdtgJGZhMu87B68AXGnGUWJoygy+fkX0tX1JJ7jPfT98U/YzzoTWTJTv/0vKPEEjlAVre/chn+xD0EWML+9GdtDd1L441tJTNCxt/Z64vF+AAz7DUjy7aARyVjyNyb351CrCVM8MMiZ3gMM2PdxQBGYIdgQNIAiM2XyEx8Zf1VcdBX79v0Qr28LKU0ASTGh0dgwGovxejd/4EgBn70BLlOwdcco3zcLr9lNwFiN15/8yPNJxSIoJoiWRPDvXIt90oIhfDcO1dZ1H6H66USjBsbv/Tu91jjXX/czygKvs6BBZomjh9Un/oq725t5N16BkjmBXZmgKw2iSQ6i02dwdstLnND0Khk2F0YxgKwU4dd1oY0N4K45l44xD1M++frP7J6Gwr57nmJj21kkwjn06IAqcCpuBFct3r4ZyCkZURKHO0yVSqU6JsIHW/SiwWB6Q7AXjBkw6nR4+f8o1HSSGjGFqEaDLhEnqtWjjAZRHL7fg2qiN4w6Yl1IWCmT3PQFLei6XyPjnxpsp42lu7AGFJl4YhA51oUoGiku+grl5Tfg9W4lnNtAz2OP0NnwMP7TU8iO9DnbBWA+ZBkWIjmc9Cx9geDxffS1fZWkrKDzmcjcU0pE10NoRpQx2WESlloU6wCjLQOIHRZWdq3kx8d/h2t23ceIgcmUjl6JQoLq6l8edpC9yVTCxIkPs6fmmwwMvI0gaBk39m/YbBPo6X0JORXFahtLT/fztHc8AoDN1cBE8xR2yhFiOhFv/KOzkuLeHrzNs9Hbu+ho+ednluiFw+1ETB68LSdjCnfh0wzww2//jB85+4lu85EQ4YrKJXiaDCCMoUjj5qHJ4+kMB/htXQcmcxY+v8wDpRdxue5FEqkID46+gpFdbdgWiMxZ/gJ79Vezf+M2yid/Jrc0JAJtvaze6UQxh3h8voUym5Hr9Taqp81h/R+24Eka6G6tpaB87HCHqlKpVP81RVEIeb0ARMPpXqiAv5MGjYGJBjsUz6Issp11uixkUSTHO0h7Rg59mqphjFpN9IZNKhWDeD16yjAIUYSkkcSIMIO3uUhQh80yDou5mq7up9HrC5g183UkKZ0MVVfdwo6dlzLw/YOtYIqARjGTEqJoBCuFBVdgdY7EaCqlpORr9Ha/Ql/kOcyNEqa9JrSKmUzLNFqEd0kU3oySCiFJFkxykLmpXNZmb+D/tjcSk6LMDY5CZ1mHVuskI2Pux96PJOkZP+7vNDT+AZttAnb7JADycs987xibdSyFhZfR0/sy7a33UzBxGULb8QB4pI8OVI37unFvuhCdzo190u9RkkkEzdD/yPbXvkjEXUUonkN1+2PccuW3+V5wO+7tHhT0PD++GI9pEmc4olxVWMrA/i5uffLrjNKP4k9jTmL1mtUcSNRjzF/II4VnICgymkQnu4oqyQkPMDfRijYxiNtdhCwnEcUv5j/DAy8sR6GUznGDXP7Si+yuqObts0+nVHLR5awEDzRuX68meiqV6kshHomQjKdn0cbC6TH2ukiYksQEfFEflvIlZLWuY3d3H1/pfJ4LO17jgsl/osdcPpxhq4necFAUhU2bTuQc2niFU+kNwYS8r5E7cgy793wNg66ACePvQ6fLIDf3THS6zPeSPICMjFlkZR6P17eNRMKHzT6e8ePvJhioZfeer9Pc8WfoSB9rs02gsOASZpy8iq7uZ6iruBmQycrKRAhqSEVCgIBOm0EkFebs/C6sWxeyvGgNeb4KRo1+HQTIyT4VUdR+4n2Joo6qyp9+4jEmUynlZd9GEg00NP4OpyZdGtEvfXR2ZtTfR0q0EUkW4zWX4tmwAtf804/mUf9HBtpXMbhvCZpkiE5HmKnRfXR3JXDofDxQYaLPOZMzCDN5+x5uW3c7dZY6ZJ1MjVxD+5vtDNoH2WfcR0msgzPrzuLi4xZyV91f2K5czoaS8RQsWsy02v30Gcfj7d5IRsHHJ9CfZ82DjSAUcfx9j5E12Mf8nZvpe2s5jdEo06JRVi+4g56WvuEOU6VSqf5rO/1hljW3YxNFJFkmGo2BCDo5QkzJoKOvnZKi+WiAy0xrWNhQg4TMg3tv4p6JF5OSFaRhWiFDTfSGgSAISBoL/+IrxAU9gaCJisUXozXrmTXzTUTRgEaTXh/P6Zxx2HOMH383ALIcRxC0CIKA3jWfGdNXEIm0o9Xa8fq20dX1FLX7bqS+4fckEgO4XAuxWsfQ3v4wWq2T/PwLyM05E63WwabNJ4E+zKWmclw7J5Jpi6EbexsAublnHNNnkJt7Jg2Nv2eUtYeNQED30VUxgr19QDoB9O46jo7euz+TRM+bbCPQex3FXW9z30nHMbani335MTYWziBmHM+4VBTLxhd4pmA7vbZeFuUs4rpp1/Hz9T9ng7ABgCpnFQcGDzA2UM+qR9spKcyhXnc/3YXf57Wpc1m88Qm6k7NoXPcmGRd88RK97prHCcQLsAQ70cVC/PTq6cxpMZPX1kPQbGFMaxPaWB9BXybhcDMmU9lwh6xSqVT/sed6B7nPE2H8vNNZuuYFotEEmEBARlZsuDu7yS0dQyxmZIl+N/XGYt4VJnO57wU8tVaY91UQpU+/0BBQE71hoCgKRmMZbwdPAMBIBK1ZD3DUszA/XHTXZCrFZCoFwGYbT1HhVxgYWE1r271YLKdQWXEToqihrPQ7CIKIILw/QNSVMZ8Bzzr6x/yL0xLfoHPSnWg1TjRaKzbbxP/8hg9Dr8/C6ZzJxEQNAH6D8SPHBPvcQAXGcB9+ZQLdE5+mdNc72CfMO6axfFDU24Y/VghIRCQ3AccUdlpa2F5yDhaNhnNSEcLbnmBd8SYkjcSf5/yZJSVLALjvhPu4ecPNzMibwanlp3LCsycQGBtAG9XyqudVHFEHo/zb2O+YzN5iC1qgsz3EtCG7m6GhKCnqW28jOvBr8gff5ddXXceB0go6SwJoAstZ2pKJYBHI6m6gxzSdA3W/ZcLEfyAI0ofOI9PV9TRZWceh02UO092oVCrVp3PH0wWQd4+aioJAs9BHb8rFmf1vICs2+joHCGWG6Aq4GK/v46tVt1B4oA9dUYDp/XWkAgNIzuGZeatOhxsGgiBQPuoOYgcfv1XvGdJrZWYuYsrkx6muuvm98WCiqDkkyQMoLv4qIIMxSef034I2QSI5SFHRlUNS2qSw4FJc2gC6ZIKAwYiSSh2y3+NJz2oq7HgTAQVP+yLqtt54zOP4oN7tTxFprUaQE7w9qZKckJvtJadTYdTxC28Hnm33sDF3LTnWHJ489UlmeTJw3/0InT95nOjdb/PHcT/jopEXYdGYuWz0ZaztWssLnhcYmzEWr96LoXMVBjnGU8cfhynUjddblB6v+QUSDrcRiFqR0WMMt9FQVEDIYCFgMdFccg2PzDqBx+acCCk3SspAV+teGhp+/5HzuN1vsL/uJtrbH/rsb0KlUqmOQn8iyUg5xrh9W9kzagrPjjyJfxadBYCMjWh/mM5+LxvcJZxm+C0NfZm8O1jIfoeTXxR9HcEwfMugqS16w6Q3ngA5DJINC8qRv9DXARojmI99/TWncxZOx0wGvRuRJBOpVITs7JMpLLjsmF8LIDNzEamUiCPlJWg0Ex/sRZ+Z/97+QCDFvkItfdpSxnTtwauZi3/is3Suv5eCOV8dkpg8XWsId5+L3ddM3axSDhQVU6TXct6BnTzrfZEDWQeYmTuT30/4Kd5fPkltu0AkdwpBBawRiZyfvYkm0ouos3HCGBPP5ucwPXc6P3FdzG2mx1nW8TLj+9awseAk3Ja1WDyVuPcsJ3fi2UNyP0Mh0L6NyMAIABpyTUT1DkZ5GygJ3EFWsow203zeKZjCs/O9zG4GZf8C2mz343TOIjNzEQCpSJjaHQ/T9NYvkGdtZMSI4bwjlUql+njJlEx/PIk1HmXxupc5p60GTaSRNfNOAiChmNEGZLrdPoQU6KIyQjhJCpGqd1o5//UNaC785rDFr7boDZO+eBJRTs/asQlH+DYoCjx8Giz/3pDEJAgCEyc+QGnJdaRSUcymEYwa+bshK1QsinriCSNOPASMWsLulkP2h6MCL08zs2zxfFz920ikTEQPjKPe8yeioa5jEkM43Eoika6LlIwEGaSLSKIQXbSNrqwcZFGgrPtBnos+wAHHAc6rOo9bs29kxS8O8GpwKpucU9gdg+aUzK5IijeUTLZZR9NQGGSgS8/dtj9x9v4TWP2XRk76p568hIPu6ApsiQBrxuWhyHqatm45JvfyWQn27CLaWY4u7ueVubNIaLSc8ezjnLQnh5FVlTyy/ydU9bXwzsQJCPF22poWEO4fgT+Q7qZPBYNsv24B9W+eQtyfT9eecmIx9zDflUqlUn3AnmVw33H8a0MTM3+7it5YAlM0hMnuwKnXYfV7mehLrxDVqA9ij+rp8fip6B3k98/8lSX7V3G8+y2aIoUodgOCWkfvf09vLIEgpxc/dgpH+DYMNIKnCeLhIYtLFPWMGPF98vLOQat1vDcpZKhosOAUB+gzVeDrbsU5avZ7+0IJAzGdSFxjYVepFXMyRKr/CuSy69m55hIKq6+ide9fybGeRMWiXx71tRVFZvO7p4IAZWXfomPbP/GnykAQWTG9DK/ZjsXzMI3+9TjMDn405UecZTuZF36zlYAiUjWqj2TemwjGXWhMg8S8ZUiBb9G+R6S3a3T6Is8f7JYXrISy5nPZlnr+MHsX43zv8m71ccw/4KPfrT8Wj/IzE/LVE3GfhcXXxL7y2eR4Wli6dR8CkDSMRTv5Ai5rfpmbcv+PQd0esmImOtd9m8LS3VAGsbZW9hdcQNyTjT3Zgr9nDD0daygZce5w35pKpVKldW6Dji14IzUs6jHyr0QSfcCP2eFEb9TjS2mYOpj+gLrVrmeux8ZWj4cJoQitLivjvLsAqLeORsge3hWQ1Ba9YeKOJxGU9NisTP1HJyIcVuOq9NdgD/iPTYvWxzGZytBqnUN6DQCzmEOGxk3AKNLl7j5kn0+yAqCIIi8sPp6c3m109VhwbZtMyNBGXestRHUe2kOPE/cffRmPaLCTlBBG8YVpaP4DMYMXqW4pshLjzWkTsUcaMAZWcUH0Alacv4LTxJN49bdbGZRFyqa/gjjuJjJKu5kw7SbmzllLfnk+2uLrKT/lRqZc8A6F8+5gdOVGltgERo4N0J9UmGr7KgUBB22RVciiSE0RhCNfrETPH/QSl7PYV6Qhojdw2fKX0c6fy94rLudZSeT5dVEu8b9Cpt/Ditlz0YqbSMXNdNWmx6j0N9fhH5jMiHHdTMr3o8ha9r+9/SPXSSYDvP362ezYcSW9fa+iKKmPHKNSqVRDIuYHIHdgH9miBgSBSG8fZocTg0FHNKWhOhAlLmhYl11IVsKJ0tRDUK+lLs9Fti+EokBCVtC6hneymZroDZPeeAJJTid6OYaP1pA7rMZV8O9adp0f/cP4ReQwjyQDD0lJoMkbP2RfQGN97//driw0kQPIsoAy7hacjxvJeiKLCs+1pIxQv/zoJ2kE2raRCGWQVbuQ3GeLKW/9OgOhEgbMAyS0WrTB18gP5XH82NPY/fcanvnzTnqSIsXVq9GWvkxV1c1Mm/oioqBh+45LkZUkebnnkpW1mDCP4yjqRJ7wAO7jf0Sy7BYQUjQT4oqWuUSVTrK9zewoN+EPDn1CfSwoSorafT9kwJOeOfbm1ArsMT/ZSZllhYW8LjUyWL6e/cUpBgYcLOpdTWNRKX1iFFGMEOpPv7+e3vSHFFciiPD0P9HKXnraM0nFI4dcr7NxA7XPX0f9umxqar5Fzd7/Q5Y/ulSeSqVSHXOxdI3XnEQDIUN6+JLBN4DB5sCg15KSTVhScQKShU3ZhVw4x0JnjpMeh4Wk1kgvJTjCUbLifYSsw7fOLaiJ3rDpiyfQy+ku2CLHEWT7yTi0vAPjzgNRA11fjkQvI2MyDtLdm52xQ0vFhLTpbmNdrB2/wcQbU0Zi87fw7speLBc+g+6yJ3l9yywGN15Kn3Ed8b7Oo7p2oHsPzW/8jHXdF9M74++83TaLUFTD/nwQ5CREdzCx6yTWP97Fpv1eJPyMKr4L04THqaz4MQ77NHbtvoaavd9FkkxEIi109yyjv/8NcnJOTZcTERWS2hAmu5686Y/QFksxxTgRR9xKRvBN+h16ms25x+ZhDrFYrJfu7mV43WPw66M0FeRT5d7KI7NaebxkGe/mbGKV0sP6rM3smWnh5t4HMcSibBk9HlmKEAunWy4DXh8A/uWrEFCw+/YTco+h/bUHDrle44ZtoEgM7FmMK3QJfX0r2HzfDELbt37m965Sqf7HRA+26ClNhPTpVMkRGkQxWtHrJEzaHCTBTyIpMb6lEX0KdNEBvCYDfZlFvFMwkRx/iMJUmAOanOG8EzXRGy590Tiagy16Ra4jyPY7tkA8CCNPhuxR0LVjiCP8bNgzJ+MkPRnCnTp0PGBQbwJAF3qDlKRh88RJjK35B1KigzeWdfPW403IssJA9zziejONr/78qK492NuJHLdg0cap29SDXowzYfftbK8uxhw5gDmuo2hgFJOLg4xYeBuF59yIMnMXBfmXEgo1snnLafj9u6is/CnTp73I7FlvM37cPcycsZIxo29j5oyVFBZejss1H6OxBHvJBnKnPsRex14qBuz4U5sQUzIHcp1fiBIr8fgASgQinpHsLo4jyCkaeQ5Fl+SSxHz+LyvG1/QltCckntfHSEgCS1vWsW7idDqtEvGoFUVJEQymx6ZmdbWwp7KSkuZ1KLKWhrq2Q67n7k4gEEcADjxkx/acRKjCS+O2Xw/D3atUqv8pB1v0cqVmQoZ0qmSJBEnqLRh0AjZtJqLgJxaTOW31i1zdFGdk834SGom2jFL2ZZSSFQhTbZ/ONM1s5PjwDT1RE71h0heLIR4cc2TrO0zr3M4noGnN+983rgJBgtJ5kD8pnegpR1GW5XPKnFGKNZlO9LyS9ZB9QV16TJc+vAUpGSJsNPPE8Scwa8PtOPTNTJxjJk98ilRSwF9zHD5591Fd2zeQTq7K3r2H49rvZOKL32F/kRW/xYYQ3UR13wxKLRGi425Ar9tP/tbxzJ61Boulkq7upygsvIzZs1ZTXHQlgiAhijqyso57bxUInS6D6qqbGT/u70yZ/CSVFTdhKdiNmLuLovAEEkIMRzCCz6Qn1Nd4SGxtDfcRCjb9R890qMQTAyS7CojLVjaNyiXTtwNbNMjfWm5gTvlOKo0FTN/+HU5zH8eGkIany8z8qP9+jNEImyqsxKMu4nEPA3ETgpygtsjGH84ZgS7aBSQZDL4/VjHhdxPyFGD3tlJlacedNYnE6LsxdRbSX1hDLKouraZSqYbQwUTPJg0g6PzkR/uYJDQS1ZgxaMGqdSLgI5IQCScDjPImWehcCkCbKZ+4pCFDG6HIVE13vBe/HBi2W1ETvWHytwIt1lQQQUlg2vnYoTs33wsvfB2WXZluPk4lYf8rUDAFjA7InwyRQRhsHpbYjyVRK6GNpbvyAtpDW/TCej1SSibPm4k++Bq99gxeWbiE12bOYvLKP5Hxm69Q+erb2Hx78bQuImwJosjyEV87NJjuKt5RkUO4u42mCRX88ur/A0Ab3UHF4DgMc3+FpDMz1vZrRn4v/T41NP6ejIx5VFX+HK3WfkTXEgSB4uKrqKz4MZa8Gipc6fFo9lAAn1nC29rw3rF+dw31bb+l+a1fHPG9fBYS8QFC7jH0OSTCRgOx5HouSB2Pv/oZeupH07d/Cv2zf8HMwv2cbTCxLKEl0BRlyd532VuWSbfWSTTaQyhmZ0cZ3PTdX9FRcgV/uvQatPF+Qsls5Hh6HF/n6keJBoux+ZvJefPvFFda2LEb9m27iUigiPodRz/LWqVSqY5YLEDSUghAttTCbQf+wLnZOwkhoZNSuHRuNEIfiYQGBZnMaAK7rYwMQwHF4R7sQhg5sxSLzkmXfzdmhq9gsproDZPdb65Ck8hHkqNIAy3gOzi+bO8LsOIHUDgdwgOw4U7Y9A9w74eZ16WPKZic/volmZCRSKQwyWGCuvdnHycjQYJGPeZojDneUVh9byOlYlhiMZ484zSeOP4kHjrlFH595bcY0fQ6yaQJj3cmwcZ0l3br47/Au33VJ143EMpBSMV5duEiTvrtPVxz7S3IkgZDtAtLJMkUcwrBNsi4GfeSddxFyFKS2n03AiKjRt76H9UXLC6+EpNYRf6Y5YxNObGGPPhNIt6e92dRd+16EDmpI3KMagUeK/H4AEHvaPrs6STVGmljvphBr2YAe/FGnNXPY3fl48wVmZ/VzzxrnL/MyeGsDSsAOFCgx9fXjVvj4uWZOTjCYUr6u1k9ZRZJuY9QsBj/3vUAtNXuQkGDI96NKCeYGnyVM783CUlvpHvNtXT7V7Fv34/ZX/czunteIJkcvk/LKpXqSyjmx2ufBMCCxEoWDW5BFECO+RCUOLnGWkQhTrHVh61gDJqDEyXzrBNY2DUaR9JDf+4iFDlFd8qNfHAW73A44kRPEAS9IAjXCYJwvyAIrwuCUHlw+wWCIIwauhC/pFIJFBxolChiCmhek55wsfyGdMvdFS/BmLPg3b/Bqt9A9cnp7wGyR4Okh8a3vxTdt9GUDovgJ6p5v55gfLCLkEGLKRqlKr+NEZ4SDIHXaXPlMqFlP2+fuIC642ajGZ9NU44OfdRNqHMsnvo3iXQ20JD5CM01f/zYa8YGu4lEcvnHyQ48rkxG9L1M5cBOkpIWbXgDJd7RmEY9iYliHPapBEP1bNl6Nl7vFqqrbsFgyP/Yc38SQRCYOO5+QGCRNYUh2ovfKNLp9r53TN/gRhpf+R3d3Z+vf1bh0CChYCVuSwxjJMhCnwVfyaOQMiNq40yZ9Dxz5j3DvIXL0aamMUOvZYsmiC/STdagF7dNwtPYTK/ZAcCCmi2MaLwfSZZ5dXoxxCx0164l6fHQH0uPz6zJMfDm9JkMPP0MvfWrWXzlGGLJbAY2XkT/wGp6e1+mtvYG1r4zjXfXLmHj3yZS/+wN7xXBVqlUqqMmpyAexEMewZSLhZHV7+8L9aGkYujEg+OqZYVZESOKnMIT66bIUA5AluwnyzmWZF8tC+hHbx++mbdHlOgJglAFHAB+C5QCS4B/D6iaB/x4KIL7MitzaZFFAzo5jiQr6fF4B16DcD8s/BFojbD4Z5CKg6SFU26Df7cgSVoYcybsfBQeOQO2PwLr/gz1b6QTv1gA1v8F9q84dgEfRZfo0bNhIUjsA+Xkwp4eQgYJYzSEOaue6cFSDMEVaOQEewpGs6h7C4vibZRsquWpk07G4Wsh1luCv38b3ZsfJOovJnRwEerDCbRsYVDKxe0w0OvIpMN1IvWuieQO7kUffImKcDFyVivFI79BMFTH1q3nkkgMMmnSI+TlnfVf3a3RlY8pXk6pw40m2YUiCjQG0kluJNxJf7CEVNxKKDK8RTY/rGW7BUXW0evQku1pJl9nIezPxZS7E7N4Lg7n+PeOHTHqPCyGMKMlPS+c5SS/302fXWKwrZ1+qwWAkQ37+NlDexnR9S5bRpXTmSHR29PLwBOPEoqXYYi4WT1pEq/Nn09Ib8D4/Z/QfNVpZJtbGeieg677PubM3MrUKc9QaD+X5J5+2iILOcB21q6djtv91nA9KpVK9UUWT6+zHojq6U+UAtCsS3+4L9z2DvG7VqIl3bOxvy4fm24yXm89zYE92DVmLCKMxoxZ6yAwsItk2/C15sGRr4zxV6ANOA0IAh8seLYG+OiK5apPVKCPkJA16FJxpJQCTash4gFrPoxYnD7INQLOuQ9MmWBL/5CF40k0oojuzLuhaAa8cXO6NfDfskdDsC+dMAIc9wuY8933k0RPMyTCkDUqXXh5//L0a0rnfHywqQT8cyEIIpz0+/TKHJv+AQYHTP9qOo7/Ypk0q1iMiSA+w/uJTdDtJqwvxe4PYTYGWOgUWeXNRNG9SHv2uRzoK6O4po+1Y6ZgD4eJic0klAwGo32E4r207vgRrtx3P/aagc7d9NjS91zeu5Iu53zKB5uYlNzGOllkUoYbjWzG4ZjOjh0Xo5HMTJnyDEZjwX98nx9UlHUVBwI/wWFLL6HTJadrKXbveQRf6wwAvN68Y3KtYyEa8dG2rQi9ax/t2TOobtyKzd6NIAjICRMT599wyPE5uSewb99PWKTkcJe+nQnd3ewpr6C3XqEvW4PLF2T3KBsbR2azdP0T1BfMYX+hjmmDEu0dDxGO/5Swvoc1U2ZT5u7ij5eUkeVJceWrrQitr5CtzGbrW5Op3znI1OoQwkMb6cr5Ov32avobT8VV9Bq18Z8w74R1iP+uPalSqVRH4uBEjEBMTzw+Eqe5jnZtDmXxLpxdHdAfRPYlIRuMoQpEo5NN4e2EYq3ImgYCjhAnJEuQ5SRtoQaKvIPIsRiifniK4x9pojcPOE9RFK8gCNKH9vUCn5+/SF8QyWgPUc1YdAkBMX9KermV+h6YdwOIH3jEY95vPQrHk5z8l3eYVOzkjgsmwrSrYdy5EPGmJ2nsXwGb7oa8CTD/++lJHW/eDFEfHHdzejWNfy5If6+3HfxhPtj1O+tbsORm0Bxayw6AnY9Bbw0YM+DB9CLOWPMhHoKaZTD2XDjrHpD+sxX1sk3jMBOiV/d+A7Ov1004oxxdPIgopZCztjC9aQpdtpcojC9lQ8U4tigyIa0BXTJOW1YNNsCLE8QkSkpPLPHxEyU8vd247el7vawil9OqSjBoKjnjiT+TH6zAOeoN8govo6bmWySTQaZMeeqYJXkA+RPPon7Nzyl3pGePesR0rF3tawj3HEyagmaSydCQL0P3SWQ5SUfnv9i6cjPJyHnI+btIauagiTcj+IowVK3DzHUYTRmHvE6jsWCQplHq2oOp24gl2IAszadRqcRtl8gZ6GRN/loAgoqOHE8fXU4HgwOFGCbbSK53sK0iXWeyOSufAv9pdBueY9uMUcxZu5P4fB/5tVuoKzmLtwayMZVdR1jrZHJ1lJC1gLqtJyObBVoy/0z5tB985s9NpVJ9gR2soReK6jkwOJOvLjmHh/b8FABjKN3aF3fHkF2gtY8hJSdxp5qJllUwKLYiKALbNTHMm2uoyzZxYOp4JgxTkgdHPkYvCnzcOl0FgPeYRPMxBEEYLQjCW4IghAVB6BIE4ZeHSTg/6fWiIAjbBEFQBEE4dShjPVID/m4iGtAlRJJVp7y/Y+IlH/uaO17fz+8CP2ZK7W+JJg7W5DHYwVmS/jrxIvjaGrjsOSiZDefcD5OvgHW3pyd5vPK99DjAk/+UThAX/BC+vh6mXZMeC/ivM9/7JPOeRBTW/AEKpsL3auCEW+GMu+C7u+CGfelz1CyDF7/5H3fv5lomY1JCRLValINjDjsG/MS1AhaNB5txEpHMes6LTcARdZHq+hOCRodVb2RE2wskJA2vzxgPikxksISQN73ObMLnQP6YmLzeGG67hDEaQ/9CGcuf2sjpj59NSAwyJTQCUZNAb8olGKxl5MhfY7WM/I/u7eNIWh02eTpj7b0A+HRWEolBej25yILEi9MkmrJcRPobP+VMQycZCfLy7dfxzpPN9O85CWu0mf5guuUxLrRgFSVQtEyee81hXz9i5EVoDUFOiFYhJNP30S4U02+VcA22szR3OpNik9hXGMcZ6KDTpSPkLaG/43gUJca7Y8rJ9Lcxw6zwbvlY2vO+wT+Pu5jWvEJqxSymfWsEJ45sZcKoJAlLJhPLAjjuuYHxvreompKBp24pB+pfJh5wH9H9pmSF21+vYyD4+a9pqFKphtDBv4ORiI5wfAf9Jhe2VPqDpzaS7tCMulNE+nXE7DmEUn58eUUYtHEKIqVMS1QxIARZU2WF7PmI4fnEIx8/lGioHWkTzBvATwRBeJN01y2AIgiCHvg2cAwHgx1KEAQn8CZQC5wBjABuI52k/vQIT3MN6YT0c+MPPaXE80Q0yRRtQhHlmVVgyUl31x7G7g4vXe8+xUztPiYojWze18L88Yc/9j2iCCf/EXr3wrPXgJyAE36b7m79oFNuS3e/Pv91ePQcuGQZ/HtZtm0Pgb8Tzvw7tf0pfrOlnCxhkPN8b1Ft8EJExjb+UnS7H4We3VAyB0wZ6e5hBNAYIKsayheB+fBjzvKdozF1bCKs05MI+dFZ7LSH04lsZXEjgkYDIgjOzVziP4N7XY9S2PA7Usogfn0XZp+N/SWLCOxowNBbiSykx4DFI04S3i70GYUfuabfb6C/SMIe7OHe4j8Q1HmxxB0sbT6L2eNXYaCU3t4XMRpLyck++ZOf83+oqPwKfG0bMMej+A0mehqfw9cxnebMKLvL8zEktITdDVhzx3/6yYZA55Y36Wi4CIkQpkA/5d5nWL7gdCzhIGGDj4ySjWTnLEWncxz29dk5x9FUV8SCyu28HtAgKAoHcszIkoAl1MyY5FaKMk+nxltDQtlNQjuNHl0OYpsLr+4AIdMc5vja+HZpFX/r0dGuFTkQS3LfGefzjWX/4v4JbUy98s/Mzp3K9J4+mk89FRkYfG4Zk1/4Cs17+unefyFNpl8y8sw7P/V+m/uD/HVVA4UZJs6fWnRsH6ZKpfriOJjoxcMKXn16GJQ5FUZWQIgoKAhE+gVCPXo0RQ66FD9VI2opyD/Ass2nEtKGmNq9AI+zBk0qiSPuAZLA8AwjOdJE7wfAeqCBdNKnAD8HxgA64OwhiS7t66RbE89WFMUPvCEIgg24RRCEPxzc9rEOJoq/AX4E3DeEcR6VPiVFUtKiS/lp6AtRftnz6aToY/zqpT38UbsM2ZSFMexmYNPjMP5nn34hjR7OfxjuWQCZlTDja4c/bvz5IOng2avT3bMXPQHuOlj1Kyidx9bt29DuuZ5/CU2IKLD60Je7c+aRZVBg5+Mo8RAbhInIwCxlDxohBQjpQs8VS9KtjI73/5Ca7XaMzTFSeomevnaKLXYGkulu1QzNIJFYGyahjMHClSzd+mf2M49VWW9hUsxMDkxlq/g0Eesc3q02csKeMhQMhHRJ9Ekzod76jyR6ciiEL5KD2yaRMVCHWTQxJT6BsVSTE2pAn9GGw3UOPQPPMnLkrRxF4/FRySpfSLJFwJX04DM6aa17kUjfd9gzNd2i5DNr8Pe2kTNuSC7/qTrq9gPTWXyGEcuuTg6U1NMiFVDW2UqhTULUxMjPO/djXy9JeiZPfYyta85n0ZQeVgSD1Oenk3BNrIHwqh8Snf4Ik+VsNujSxa47MnXkD6bYVWZAm0xw2W0PsmP549x71yp0unKufHcbb4wcT4bPR/wpG/te/iGDGUaqkhkk4jHuOecSvvHsY9zwl/mctuiv9KwcSWPfBo6kPTYUS3+4CMfU9XRVqv9pB2u7JgIthPV6XF4Pzf1mlg9MY06sA8VmRPJH8DSY0Y2w0yg14rQMoNFFiLj24wlloY9n0JJZyck592KzDhBNnILO+HEdo0PriLpuFUVpByYAd5OeddtIelzeM8AURVF6hipA4CRg5YcSuidJJ38LjuD1vyKdpH6upuDpRB+yoMcs+dh2oJOAaAdz5mG7P9s9YUo7X6KULsTT7qBDV0511/PI8qGlVWRZockdxBuOH3oCeyF8eytc9sKh4/8+qOY5kJNw4ePgbYe758Hj50NGObWGSUyt+SU2nUB09vdJnfsQu+bfy8r5z/L80vU8IZ2Oq2cd8fatDObPo0tfxhx2Mo+d1IoVbM48G2/JCZCMwto/wf3Hw8D7XZKiVYc+kV4Wq6krXTvOd7BVzoafeLyPwvLLSWaEieVs4kx5Hgu65zO/cy7lnlKcER3G0F5qS1zIGEhIcPeJDtaOsRHoaf3Irfa88SADFBHViyTp5MpRX+Gvl9/GCa+uprQw3WAdSbai02WTl3vmkbyd/xFR1BBJ6MhQ+vGZtPT0uRg0a6gpSw959ZtEBgc8Q3b9T9M/kO6qcMYT+B56DHG5jc6MfPKFZuZYooiKi4yMT5jEAxitBYzU/BlJhMJEBwmNgCAriHI/+kg2bW//gIWpfETZgy3op8OlQRPey7vjJjDC3cKALcnonT5e/M413PLWTbzb8kuSGg1PnHQG6ybO4cbr7+D54hlEtm3jvlNO47lFJzJotbK0Rst6+3K0UhhP/xgCgX2fer+heDrBC/97WIRKpfrfdLBFLxauZ+muOh655XpafHYCSQN+owGlIN07FRQN6CUzbr0PkzGdomgzWrEme9BZuzm/9K+4Mjrp7h6PyXQEa9oPkSMePa8oyiDws4P/fZZGAodUvlUUpU0QhPDBfS9/3AsFQRgPXEk6Sf1ckcQAiAbyzc0kkxpWrlzJuaefBA+ejKLR80zpL8jIK+e40Tms3raHH2ieJpY9Ef3IU/FU1TC+5nfs2/0uhoJxHNi4Auv+p5FCPcRSAnsFK+bcCorHzKJoyknoLU4wOtMXllPp2bMHZ8k29AXYuWMrZ717DRIpFEcJwvRrYN8rUDyTDsdURm/+Ne/q5zDp+hcw6NMtbRN4/6H6Jz/A3c8+h6PuGZa0bMSjOGkY9VPy9DEc+54lx/0S+v70H9FBTTb7A5kcuOtXzLvoh5RXjkKyaDHE0q1YLZ6Dq2Ro0nXUbKS/l7QmdCEb/XlPUr7zTuYUTSejIJOCBgNN/iZ6M7YQsE2m1xEnYEgQNurot8Xxuz86PqvV8xA9hvTKCnGxi4rXI3Q+8wSp6qUEKh/CJFfh822lvOx7iOLQDqBNJE1kij3sM43F2zSPHWUKgqJQ3tlNjyuH3tbhSzq8EQcRXYLun/0YMdPJ36ddiiyKzBuxhjLCOA1nH1Frp3PWeIIb9BTKrexgFK5AjIqyJCeUCbyzLoF/75k4JuxF8TTQa6/kjUkWZFFgev1qfnO+jFbWURwI0tr6ChpJRpPo5I35S/Bp9KAoPL/odFZPrGbQUcHCA7tZOWMB561azj9aOxELzJR1TaC9/jFGT/7kNXIj8X+36KmJnkr1v6qnZjm9W5YxXoaqpl5yvGHikkhvNN34MGg24LSDzpHArSukT/STkuIYjOnk0GWI4M8uwJ77ClpdkIb130VbaESj+c8mKx4Lw3flI+fk8JM9Bg/u+yR3AncpitIgCELpp11IEIRrgWsBiouLjy7Ko5TUpx99puBl7owTWPPuFnRdm+j1jMImBJnadjV/Fy5g2vU3MGnz9RiFONKZfwNBoGTRlcT2/InC589GQ4oyIU4AM/2mEVh1IISasfduRNP3CMlVInWaEbQbR1IoeakIbgV7IZrjfsZ28zwuvm8Tf+IOYpKGm+LXcl1oNVXv3IYi6ZEHGilUXmObOJaq657AoNeR9MaQA3EEg4Ro1CAaNdgMWr5xyQV4w2excm8P1bk2FhQ5Dt7pT+nwhHhlYw1K/ZtMGHyd2exkcmofKx7uIzx5AWPPuhFdPN2i1x1KD1gNatOJnhU/kmTB69tKoflcmswPEK/exbyGyQi9AnI8yTzDZHaFXiTggsZcCa8xXd/IbxLxuQ/t2e+vfRVvpkSfJz3L1RIbIDrtH7QHM4lkNiCKerLylhDuPkD2EI3N+yAtLrJ03cQ0Iu5oGbvLjFS3N+MIeWksyKPPNzz/RBMxL8FQETl99fRbbVzzk98RNpo4X3mM+IYOXskZy03HX3tE59LY9cSjdgp16VbcAn8/kysHaRS+y8yLfs3KO00Uh4tpN+yn3zGZdROnMKVlH4OaRiRZIjuaTaO9EVfURWZfkL2GNbizL0aTSnLN3ud4aOxZDGaMpGiwi9r8MjptLi588xVm7a1gwyQzZW0KTfvqGTkx8YmlVjzhEAAdfjdQ/V8/Q5VK9cVzf9cgBn05hY3byfGG6SiqwKZzAf0oCHjMBsos3VjyosSSWXRLveiNfgQx3cOWp5Wp6RqFYeKjhPuq6UzlUCFFhvWejuiviCAIbt6rw3F4iqIMZdnnw11b+Jjt6Z2CcCHp39anHfFFFOWfwD8Bpk6dOqRLTgimdI5qliPMnb+Ardu2stNjwKzV0xbPo04o5zQ2oLnjn+QqGu6Uvk7Zqj1cdOk47K5cXiu7Hkv/bjJcWWSNnEnW1HOwat/v//cGgtRtW02y7nUyB3cyJ/gGg4qFp1KzmTmwnxFPX45EFVcYT+DU+CaU+Tcy03oZZ7+yiOJ4A+dI75BAIli4gAvPvYAMu43gxi68LzdB6tBHYxyXifPcKhwmHRdM+2iCXJhh5usnzwBmADchu+uJv/V7Ttz3Isbd6/HXP4LBMRGAgYMzmkJaAxo5iSYVJyNzMV7vJqpmvUzbSw/R6foH5b13gC1Bc8nPGNUzg5ygDn+ojVaXlo6sdKkPv1FkwJNuSaz91VlEXX7CeQP4Go7H7RAxRkPkJ1Jo9VakbJEC+4WUlX2XvTXfxWSqwGwuP8bv+kfZ9eVkSelWxxVTzQRMOsa0b6XOGQGm0ptyDHkMh9O3702UoBOfoZ4Hr/0qYYOR7FQnp4kv8FerDpe7BHNm1hGfz5jKo8iaTvSK4m0A6PW5tHR/nxFTz2N/0xRqqjYC4Ax4mNSxjVcL+igKF/Ln3h/QXxpic7COWrEWMb6eDO9iTtm2EY1G4pL6l3m48gzanfmYIl768kv47eVf51vPPMza+TNJSEZ8nSPxeNaRmbnoY2Ps9KcHXXcHhq+7XKVSDY9d7V5er+2hNwVTYh7Cfj1Bownt2HMp0JdT0reCxlADg+YkI0ydJKpF3H3FdIkDiNZ0maxIxECeNkZ7IhezxUNP83x6XWFM0d5hvbcjbS64i48mVRnAYsAG3H8sg/qQQcBxmO12PqasiyAIWuCPpAs5i4IgOEjHCWAWBMGqKMqwLo6ZENMtV4ZUjO5gistjD1JPMc8Hb6Ig30BRbh+r94rUyiPwk0E8pVDXcICeA+3kVhVx4ldu+sTzO6wWZiw8FRYerCajKOgUmNQT4Dev7cXV+Bw/1j7Jj+N3gsmFMPvbXGCwsXR0LjvbJ1HfdyLj8u3MqchESSkMPlVHeKcbfZUTy8w85FgKJZIkORAhuKGLZH8E66L0BItEb5h4qx/jqAwscz462VnMqsR64X14en/JE3//IZNDe7EY0m9HUEknZiG9AascJJkw4HBMx93/BkkxSHX2z6iN/YK2gu+TNMdJGVMkS1YxonYa9YmdNBaeDoBzsI5BZzUDIT3xvk66Z+5O/wQHNPibF+CdEyPD20uRFkYU30hO9Ynp2BODeH1bKCk+staq/1audRKuyHMA1OfrmL99I52ObcQ06WTVI3xao/XQ6Ny3h4BxIX875wQkJYUr6OVky8sMymZaHCmKB+0YTEc+g6zQMB6D+BgzWvuZlVhDMqVhxoyX2LrtPOIVayk4cDmy0kKReyczWz1ElBbiUoKTTXOxH29BetPHbCmDgMGIJhWkrP0e8nzZZPijNFHGXHYRE7fSrH0HvfXrvD5rAX6Llfnr3qE+71T0nZPwend+YqLnPzh8IBxXu25Vqv81L+/q4r51zcycq8EV9RJNaPFn5JFnyAYFpmUuJRVy06GNEBD1NKZykAwWgmIU58FuW49fJDdbodqZ/lC7wrmPA6mdbMPLN2Jfw67/+NquQ+mIEj1FUW453HYhvar706TnDQ+V/XDopDlBEIoA88F9h2MGCoHbD/73QU+SnkxScWzDPDrJg+vkiSmBFa88y9eFQXRzf03pWyaEPpHsy07D4shm07q30aPhrOJ5vNS2hjVPvs7Z112ENivdtZkcjKIkZTQuI3IwTmSfh3hbgERvCG2uGfsJpUhWHQgCkgCjsi3cObGcbv+FhMouJsP8EkrhNHxv9qMk+7DMzGPRyGwWjUw30CqywuCzBwjvdGM7vgTroiIEMT2+z+v1sm7ddjLmWCjeEsHz+MG3QwDJqsPb4EU0aTFOyCLe4kfQS2jzzQgHxwdm5ORz/uLpXLtyLAtjbwAQOXjusF6HDQ9KyoLDMe3g9baQu+hyYhv6adDdhRgTqUx9i4bkXUxxuXkrFgNOR5cIYx98h0FnNW7RhWf/W3gajidHOwurks8uUaLHacAc6KTEFMZePOm998Xd/xaKkiIra+nQ/gAclJ0xmczOewDQx5Ms3rWWfyzuRZ9IT8rxa20oivLeM/us9LsD1BbpSWkkZu/7G2XhEqon19Gh5AKdmOPW934OjkSebTaDyX/xtd0PIE3dhRzLQJJMVFb8hB07L6e6cgOGpI6cvmU4Q5PZnDmAJWWgqvRRdiXufW/a1XQFajpK6HZ58XnGI2bECabqyAn2sdb1DlPlIrb77sKVamBX1TlsHTWe4r4EoztsdB3opeIT/tUHogfrYyW++OtHq1Sqo+M5OImxDwPmeIhNeZNoKBmFVtlKVkRiUXIcU/JOp73nPvbHCtgsjCTToAWS2HVxEmEHHUkfBQLMKdhIShHYRxuC4OCUrqVYJOsnBzCE/qsBQIqiKIIg3Ac8CNx6bEL6iFeBH3yoFe4CIEJ6+bXDCQIf/uieCzwB/IQPTe74zMkyGk26m8gbdVDRtJy41kDiQCWiSUaOyfhXNDPTVEBufBqR2YVMOG0CzU8OsGd/DS13vEvGmHzkaJJYvRcAQSuiHEwORIsWTZaJ8I4+Inv6sczOxzQxi3hrAN+brcj+OEa9hNKbIv7N60n0hQmuOwAChDZ2oyu1YZmZh6CVCO9Mn0NckEV0nAEpEqa3t5fa2lp27NhBKpVu/RhZXc0pc5ai1xnQOPUIGpH+B2rwLDuA9EYrKU96DJ5o02EcmYFhZAaGSieWkYt5YNUCHolVARDTpieChwxaXOIgBtGJxTIKSbIw6NlAbs5plMy+Hm1rERb7KGyOsfif2EoqdyPmNiehRABrYCfxg92hXo2DgY4t9O06n76Dj3/dWIGIQYfOt5YSaxi94f1RB273G+j1eVitn01NE4urDFunj1J/O6e+tobtJd2IsgbbwYG/fp2ZZNKPVvvZfRJUFIWBiJ29IzSUdrVz3Kr9KJPi5Cud1MiTgU5McctRndOeOxG5DTIMWwhmydiSpQBkZMwhM3MJpNZRVldFh76XTnMDnZZ+5idKaX79QkZMsjFidoCefVZ2LBcoG3cPe2ihf0o/m9ubiEgRfLr92ON2pscWM2rLv3h08Uq+tfdtllXcTE9GFlGtQvd+I3zCsMtgTE30VKr/VZ5QHFDoFW3YEkF2GysQZZl8JYtWk5v2ureoKjkHIbeCN20TCYTiaHUKZkWHUx8lGHLSmgwwgxTjM2tpC+bgtS5lfmA+05JdyPEk0uFWnvoMHIuR3uWka+kNlbuB7wDPCYLw+4PXuwW4/YMlVwRBaADWKIpytaIoST5U6e0DkzH2KIqyaQjj/XSiyCnW+dQCA/0Ovik+j5y1gHhrHOc5laR8Mfxvpscxlc0bheOU9FixOUvmsXP/bg6UDDKx3oSgE7EdV4zk0JPoDiFatBhHu9BkmxAEgUR/BN+KZgKr2wm8nV5TVVdsxXZuFZoCMz13bMfzzAFSvji6Ehuuy0YR3t5HcGM3nifr0rFqRLTzs3l4z4uEN4XfuwWNRsO4ceNYuHAhtbW1vPHGG7gH+rnkkktI+kOsWLGClJgi12EmToLeXD92o40xUjEZu/oIbe5Bcuixn1CK0ZpJNCRiVEIktCJyMkHYIFIm+LCbChBFDVmZS+hzr6S6+heIoo78kvPei6XqjDtxr55LqQRC580kBB9RKd316dXZ6B1I/5iMnmbi3TYPG0fmUti9FTnWTr4x773Wsv7+txkYWE1h4WWfWQuazukkmhC4Y9f1aDZZufrbCcb3zcXoaKU5EsdvNBINtKPN+OwSvXjcQ0uymi6XjrPW7CNY8F0ysh9HI6ToTB6cJBM3HdU59Tl2wnVaNFMSCBJk6Ce/t69ixI/o7z+eWeYkD4pBdmTUYo9nMGLX1xBMemrflmjf7SIwEEWjFcjY/RWsU29lR3AHGbkZZAlZhAfDFEYLicp1FLqKKYsNsGakjktee5LfXPZ9XpuS4Lw9Iwn3NmHKOfzYy2AsAUjE1ERPpfqfMxiKYyaCV5+LVQ4R0+oxpDTMTlXRKvTQpQtQSpKwzYoiCFi04NHGyMKE0TJAb18JB1J2kvIgGlGhwVNFxH4iXYYYdXSwVBq+3ytHOhnjG4fZrANGAZeQrqc3JBRFGRQEYQnwN9KlVLzAHaSTvQ/SAENT2XYIKCUnwWCYi+NvkiX48Hqno80zY5qSAymZ8E43olmL/YTS916TlZXF+PHj2bJ7N0VnVTFu3LhP7D7TZhrJvHw0KX+MSM0AkkOPYVQG3d3dPHH3A5QXFTFtXx5oRJznViJZdFjnF2KZW0Cs2YcgCOiKrbz2xkoikQgnn3wysixjt9sZMWIEOl06v589ezb5+fk89dRT3HvvvSQSCXQ6HQ6Hgy2h/UiSRGFmIa29ndRFG9FoNZgtJiYopVQ9FUNr+gOp1F2YCBPXSLjb9hMwanAwiP3ghIicnNPo6X0Rj2f9R8ZZ6UwZOAKjGW3dS70/3SVelIjhAXxGE96oiTVjDLwWqadlfD6mWBhd+Flssp2UtZfNW04nJ/sUmpr/gsVSTXnZd4/tm/0JBEkkkNRgz0pQX+5EEfuYbIlgyelmR8SP32Qh7K7HmjH2M4sp7D7AXlt6bGVu72aasxJkC+mJPl0JLYKiwZA6us92ok1HNGnA4kyPTXVlzn9vn9lcjtkwkhKHB/wgouWkuquonLKWky//DY07Bnj3uUYmn1DCuIWFPH7zW3yl5ruc+E0jBYWnIklGGr2NPLbhh0wwrIJxMM0v8bRPz2BZitPXvsGLC5Yyo05hz62/YNrv7kY8TOHScDwJSMQTn203uUqlGn4DoTgZuiADogarHCGh1WJHT6uhm3i8i7b8bDIT9aQMAqbBfsLOTGQULBoZSRulhRBeKUlvzEyBMUiDrwwxGaUnO4UxqSURi6EfpvVuj7RF72+H2RYDOoC/A784ZhEdhqIotaQnfnzSMaWfsr+F9EzdzwVZkw6lMOUmJeoJ+cbjOC4/nbiJEtnfmYQgiQjSoSGfdtpp+P1+XnjxBULhECNGjKCrq4tNmzYRjUbJyMggOzub/Px8BEFgcHCQ0tJSimanJ0rU1dWxbNkyEokEe0L7mblwAvaCjPfG/AEIooBhhAOAvr4+Nm/ezOTJk5k+ffrH3k9paSnXXHMNTz31FA6Hg9NOOw2r1UokEkGj0aDVaonH4+zduxe3201bWxvvdO4hb/FpOLckyQqNwUyQqEbLnqY6UlIFOUoPVuvxQLqLT6Ox09v7ymEH1OePv4SK1h+AX4NR1jLdPkh9NI7fZKSvp5y1U03YgiWYoxGmNeyj1t7DArNISggSibTT0PgHTKZyJk54EI3msx1LEUsacJcmeHGmHWPKx5jKd9FokmT4e+g2jSTQ10LOZ1jtY7C1nn0Fo6lo76HZtY9tI+pwmkVyFQFxoB8jBjTC0a1rLAgCgmAFAkRTIvb8Q0tburLnEwzfR3XrVKr7ZjJ+zNvMP/t6fP7N6LP3MvPKbmy2CRisOcyZlcPqNQZWPbiHkgXzGDv2Vsozl7BYM4inZSYtPgtTKjbxEikaHQGm7mhgeWoJtUVapux24Xv5ZZznn/+RGMPx9D3Fk5+bXxMqleozMhiKU6ZNl0ExJGKkNDrMopm9pgZ6hRZ0ShFbtV04UyZOMpp4XAEdGpza9O+NemmQpKzQGXZRYAxSn6xC4w4SKXDQVzKIxWb7pMsPqSOdjHFEK2iojpwspMe2tScycVonocRMGMe4WLatg0yLjoXVh1areafeTYZZx5h8OxdeeCGPPvooK1eufG9/VlYW+fn5eDwetmzZQjL5/vwYURQ555xzCAaDvPbaa+Tl5bF06VIeeugh6k29zB41gieeeAJJkliyZAkuV7rqt6IovPrqq+j1ehYvTufZsqyQUhQ0ovCR7k2Xy8U3vnFo46/xAy0nOp2OSZPSEx9isRj33nsvr+x6i2uvOh/prwbMSpiIxsx+jxuyIIs+rI4xB+9BR3bWCfT2LSeViiJJhy4Xl1V9GgUtP8WCyBithEsXxB4M4jNZqBdGATC7tpNqzwC1WZuQBZnJ9vQqGNOnvUgk0oHFUoVOd/j1eD9JLJli7YF+4kmZTIuORErBF0kwMs/KiKxPH8smyBlYdX5aXI1MtsSQhHQTfwZu6kyj6ez3f6Yzh9q63fS6NBy3eR+7ciS+anQh6nvpj0sICQ9GjEji0S/Q7RKKgC5iKQmN/dBPtq6MubS1/ZMl8WL6xSgTir5LR+fD9PS+AIAoGujoeARRNFA55edM2JzNrp5xdK7/Jqnk98l3nUJXQzXu3eci6IL49Umm5axngyJgG+GkurWR1uwiPLpJRPfWHja+6MExromk+utOpfpfEk2kCMVTZB/scUhFQDDqMCg6+uQYWaETMQj9RI1GRiUKiYph9FYPi7J9+LSDAHTLKUBkc38lRUIR/ZZcNK1BIhodZ005Zxjv7otRMPlLKSGkE7FrotfzppSPocpOZzTBj57dTZZVzzs3LkIjpf/gtHvCXP3QVjLMOlb/YCEGg4Grr76agYEB2trasNlsjBgx4r3EK5VK0dfXhyAImEwmnnnmGZ55Jt27PnLkSM4++2x0Oh3l5eVs3bqVQCBAXV0dWq2W/fv3s2jRIubNm8eOHTtobm7mlFNOwRMT+MuafSzb1nFw0Co4TVoKnSYuml7MxTOOrsC0Xq/nggsu4J///Cdvb9qBWS9jTMXwazJoiqR74J3RAYyO98uz5OScSlf30wwMrCY7+8RDzieKGpzhidyYuwWjFKQnLmEJ+/BbbbQ5MhBkmaxkMzFjnC5nOy5Zj0MKo9flYDAUYTQefYHsfd1+ntrSzgs7OvFGDp/4VGeInDy+kFMml1KRffiWQos4AklowaJNstCoRRBjSGSQIfUS04m09GiPaK2/Y6U2CLggv6+dhjIXU81a+gUNdakkA4YBCoLFaMSjL0GSbRxHH5uwpewf+ZBgt08FRYc5bw/J2By6rDcR6j1Aedn/UVh4BRqNBZ9vO41Nt1HX8VMqzroF4flCdnaUEPX9DE/ZKty7zyW3zEZPK/TuO5XJrnreEQbps9VQ2p3Dq2WV+OQCBurWkneY+P49CSOZ+sKMAFGpVMfA4MEZtxkmBVFJEYxpkC0ShpQWwZdPYWAM5uCTdBbnUJHKwycOkJm3lVDufiRZIhqy4kul/6Y39Y/mbXkMsl0HikAqDoLx6MY0H2sfm+gJgnBUywIoirLivw/nf0eCJMgKZZKAHEhhmpjNbasbScoK3b4ob+7r48SxuQDc/sYBZEWhxx/l5r8+yQlTylm8cBaZmZlkZn50/TxJksjLe/9P2WWXXcYrr7yC3W5n0aJFiGI6gZw2bRpPPfUUW7ZsYebMmcydO5fHl73IW2+9RTgcZvv27ZSWlhJzlHLCn9cSSaTIK7RSmW+mwKwnqUBTMMKPV+ylxx/lq/PKqOn0E0/JOIxaqnOtGLQf/0czKyuLkSNHUldXx0IjmJIxwloj3bIRQZExhXxojO+3iDmdM9Hrc2ltu5esrKUIwqEtL4VjL8bXuRFSGvIiUzBGPbTnlNDp0pA74MFZmeSEaafx7NpnOV6wIiDgdM466okXNZ0+bn5pL9taB9GJcLy+hou1L5AteOlX7DiFAC7BzwG5kPsHT+bPq5PcsbqN8ybnces5E9FKh8adaRxLirc4xxkn1yiTr7mCmL6LzFi6yGZr6LP9JdEgpyd+aKOtjDVoqJr8EyL7rsYzYEURUpgSZjSao+u6BcjOmkXf4H04lYkf2SdJeiyGSTid+8i1bSIcaWTihPtxud5PcR2OqUwYfx87d32FRv8vKT7nG8x8cRw7Q07cu8/D4YLTvzeJum3trH6kgdjbt5A14bd0GweZ3uVHFkXasrR0NRoYk0wifGhJotjBXF1RROJJGZ1GbdlTqb70Ugm87vQa67IkYEmF6Y9ZUQRQUkkqs9rJm/0oAw/P4+RXlqNdugRRyMdlDGDwleF554d0yG+infA6CSmBK2XBp29DMafHVQuhJK3e+xmT/BkazdFVKzhWPqlF7xXSJWaP5K+gwhdoIsTngT+RgJREPhoEnchAnpFlT7dz0fRi1tT18a+NLZw4NpeaTh8v7Ozka/NHsG7jDp5yO1i5vI3viFmMKXQyo/zQrsYeXxSzXsJqeL+YrU6n4+yzz/5IDFVVVbhcLiwWC8cffzxPbe3kd3V2lhizePfdd9FqtVirZnLVQ1uxZRuJ++N0tacr3NR/8EQGiTv2dvCXdY0IsfcTALNO4rdnjyPfYeThDS0UOI18a1EFlg/EVl1dzZ49e9C4tOlEz2BkUGMhQ/EQi4qHJGGCIDGi/Hpq991IT8+L5OaeQXf3c9hs47FYqsiuXEpdqxOXYSGCORdNVx9RvUh7psDIplqeMD7DO5s2ICgCC20pEBQczo8fd/hhvkiCv62q54H1Lbh0Se50PM1xkdcwigJI6U+ElXT9O1qypFrmaPYT1znYHM7j5zuu5KuhJF+ZXUo0ITOzPAOHSUdBxnja/DDGKGN3z6X6rB/R2PBncgKrAXCnPtsim91SukhzXGxlktVAXfPPSUTsxBvmQv7bGBNWdNqjT/Ss+ZUwIOEwTzzs/ryi4wjGNgF7qRjxk0OSvH/TaMxMnPAANTXfodXzV8xnVTJdPx6/R8Poid9Aq5MYO6uU4uosal5Yy+6ecWwoeANjwoM2kaAlL4XHVUq8pQX9h4rqJT4wNi8cT6L7dykERYFtD8K480A/fLWwVCrVENjwVyre+QsSf8OHBls8gCeVHk8XJozd0Y3W7CFZbcVQEyOZCuGSsvHqw+gGi+gwiIieMJaEhUFpkNykjV5dOxp9utdDCCVxx/qQJPOw3eInJXpln1kU/4O6/HFI6pESOporLdz+wFsosoakLJNrN7C+YYDdHV7ueHg542P99PdYqInZMEpRvFj4+/PrCJhz+NfVM5helsHuDi//WN3Ia3t7cJl13Hb+RBZUpZeocgdi3L+uGYdJy+WzStCIIusa3OQ7jFx77bVIkoa71zbzx5V1zCx3saFDYq7ZTEZmNje81EhuhZ3uJh+SQcOJ1S6moGDxLyeXLmx6mZXeXB7pmU4UPTqdRDyeQm/UEIol+c6TOw+573vWNLGwOovfnJVOACsqKhBFkW40GGMJYlY9/WYLOUIH4dhHV17IzT2Ljs7HaGj8A319K+gfWIXBUMiM6cvRaCzMWfw2omikd8+biHXpIswJrYAY34dDdNBBJ6URO+bCdGuZ03Fkid4j77Zw2+sH8EcT/F/2Lr7t/QNiVEERRPY7l/J2dAxmg45x2RI+yUmDR6Y408wCcyP61tXM7dzOKun7vNk0mX8cOIVNykiKbFoePE4hP2MktYMCMV8R0/J/hajTYbQVktWTrrXoEz7bT4EeyYYxliJi0uCyhYjHo7i3X0FefwmTdT5KB8ei/dCk23hS5u26Pt6o7eWSqTlM0ndD1kj4wLJ8ppwCJrT+C/uow9codLnmU9/wGzJdiykquupj49NorEyY8ABu9+s0t9yJN/IOCc0A7d0enFl3A2DLMDPjkiXsf/hRNgCtWZ2Mbq6nJasYn6WSSO2+wyR6IiADIqF4Cse/G1J79sAr3wNRC5MvO8qnqVKpPlcCvdC9C6oOFsVvfBtt3EcuHgYEPdmhfoJiukcsQBK7Of172FzSgd+USXt4B15TES6jh9r2TPZqZcaEBrEmrAwaBilM6ak1mjEqKQQpQTKUZJv2FL7C8LWGfWyipyhK62cZyP+a3oiMmFLYhsJr9R0Iisj0wHZe3RQkKFkQBLjgH+sYNdBEq6mMXXVBrLYYcz0beEc/g5DeQZ7DwFUPbqYy18qONi8WvcS188tZvd/NFQ9sZnppBplWHWvq3EQSKWQF7nunGVlR6C0wICgKl2VlsN0XYrdDxLwknwnlOZwSKebmx3ai+BWmLipm87ZuckUv3+97mnJ3PWMcfRilBHHZiCxomSL4+b7tCf5lO4M/yCeSsNmJFplBVtB1hUEUiGca0IST6JqDvF3nZt4f3qbAYcQTilGqlKD0N2J0pltUemw2RtBHLKHh0t8+wvGVVq449ywABEGkqvLnbN12DgOetRQVfoX2jodpaPw9I6t/9d6M2bihG5Oh673n7dc1cHlvOd3JNsZO60OQtWj0FozG0k99r17a3sbPX9zL3Kwov836F66+d2nUVNFZdQXNQR2t7Z24XE48yRQv1nqBEDk5OWzYVc9eu53Fi+9gbIkL6d5FLArt4jhpO0Gti0Q8gXOFn+6Scyhp/gNOfRbWM9JjEg2GPBwMIigKQe1HS4EMJZ/WSEYghi3fhCy6qaq4mc43U2hTFsoCZZjidgzW+HvH9weifPMvy4iHPXxDeoHimnrWCiMZb/PjOOUWqD7pvWMzp8/42OuazRVMnPAgdvvkT+1OFwSB7OwTyM4+AYCWlrtpbPojHs96MjLmACDpdYzOTZDXWUCT08OE9hZ2V44ioE3Qu2sPjtMPPWcyJSJIYZSUhXDsA4v9eA/+KvS1H8HTU6lUn2vbHoI1v4ObekEQoGMrAIVCP92aAsrDfSS16SoVAUVEezDRs+Tv5JnF8/BaO5gRLsEFvBJxERJkKpIBsv25NKSyKVK8BPVWzMkkVm2ASMjMS9Ey/piSMWuGJ9U7qskYgiBogGLA8OF9B0ugqI6QJyZiSMTpR2FelkL11ocxKnFMcT9jzruGv73dgDYaYLtjEqJRg1BpoaRvFxW76tBaIryUdQoD3gjBpMKONi8AwViKV3Z1YzVr0Th07IpGcfkiLKjO4vtLqxkMx/nbqgYanBKyRkHRizxIHEw6LPt9mFJwV0eQZI6RklNK8aRSbKwbZGygkWe1P8ecGUdGojmay9qWHJTMMQgUYYnDjIxVXB1/mIu1L9EWG4PuQBiMKRJWCFpzEJQJ7LPn80K1kd1VOQQ7RJqjKUQRaiIuCnX92OLpwsZJSSJb6cWr5LLO56J3l5srzn3/2dntExk75q8YjUXYbOMRBIm29vvJzjqRjIw5RCKdNHT+hglZBawFTJEoCV0flbObqBJAitoRNJDxaePzFIWWF3/DTzaOZIGwnz/57+P5wIl0cR2kgH1usrKyWLp0KTNmzEAURXp6erBYLFitVtra2li+fDnPP/88q+x2Fkz5ExPXXgmAJeEhLplYL09meutLaLMvxTirCuHgmEaDIR8JGXMiRkT67KqpJ6JeAgYdBW4vmWVBBEEiL/csjKZlSP1GnNoslLgTg9H93mv+/MIGRiUbEHQyYSmXf6Rmk0RDU7CbrzxxIVszTmFF0fe5csFIijI+ebyhyzX/E/d/nP9n76zj7Crv/P8+dt3njvtkZjKTiXtCCIHgUpwChVK3rWyXbn9b92637e62W3ekUKAUK+5JiLsnIxm3O3Pnuh39/XHTQIqFAkvL5v16zWuunPOc55x75PN8n6/U1r6XkZE76ez6BvPn3YYsexBFOwHXXOZ7H+UhI0Y4MYYlCPSVywxEJ/nrjDWGISPYimX3jqt3Gy8mLycx9Df17SQnOcnfEYUkWCbk4xAfBL2YUqVRGOWwo43wVA/YywANXXejuOLkcl6crjjT7K2Yo21Y9WsBGM+WkjQMDEvHmQxTSK4kIG5HV+Zjz6g0Dg4xWFlC0Jx8y0QenHjCZAX4H+AG4OUy/p300XsNfNrxZSYp5adcT93kHvyOABkq6Ujt4gJPFncuwnPhYZ5aej4dGQHf4Bgrtj6Jv6yc+sgAntYCcdmP6VewnDIIYM+q5AoCQ9kCWBbaWJYxSWC84OZLz3WTVw2G4lnGerLYdQu7VSDcXEJiOMfn9Z8TstLcOb6Kw0emUTKvglBMR+3t5XblW0QybnY5r2AyksOhuqhy11NhNRC0V5AUoqyJpHHYVrPI/SghaZi8eTVaMk1+ag11rr2EBx9nHnDt0f0flSs45GlhZ10L6X4dv5Yml3nehyGcS9Cbmsndtq9yv7GcI11LaGppP/Z9efkFx143Nf0LE5NP0NX9HRYveoCR0bsAixr7BIJpUjfaiU8RKRm+EDkVQPBKjNfcTHn5Ra/4G2ndT/PvWzT+TfkDC2zD/Ma4GkF2sPrU06ipa6CqqupYAsxi+TmLyspKjLRKdleEqroyPvzhD9N5uJM1jz3NA2t3srnkS1x69koqPAK2X69mo3s1y1I7CU5/DmnB86ki7fbi1IFXz5C1/+8JvczoQRIuB/NicUKzE4SCK5BlLx6fhIBIMNVKSpNwuhNAMfJY7nwcWZKZGdLZOdVKMFzK4aQMKvyUa/jY1B8QJju5Vf0un3/nK6bD/JuRJDstLZ9jz96Psu65xYBITfW7CFQuYbH5Gx4Z9qJykJL4FDumOVmaPL6GsKqbWJaEKKehABn1hRa9geP/n+QkJ3nNFHSDgWiWlvK32M9VL5bjJBeDwU3HPu6QhrnH6SZUyCLZqoEJgkLx3js63E7jtK0EKw/SF8/hDHcCMCZWoekmOgIZ1QQbJG2jWKIHh5akZWKAdaWzUdNv7WzAiVr0vgxcCLwfuA34JyADXAdMAz7xpvTubYwpOggwBYCjbycTpasYqWzjveqTHHnsRvba5vHs0mtoHte4ZF2K2f6fowUnWfyFH3HrF/6V9yY2sqmkiXBnD6JpkAzWMRb04w5afDz/FCtiW8g7XHQ5GnlgYClrOmcXo4g8Cm6PxpLefRx2VjHcY+c8YSPX2p9BM0XOFbcWO7jnaEftsCc2E8RPsVCrQAgVH4ymZRItjNCV3kGtczqnBc6kK7mdx0drmOe/gQpnIzZJwG4uZVNkBzlJRTPtOGSVjlad+uAQpycPcHr/uuJ2FNgwNYMf8AEAQlN5Lsrcx3yxjzAJHn1uLh95gdB7IZLkoKHhnzh48P8xOfkEo6N3AxBWNOYcXoNU2ENdjUbrKTdi9krs5wO45RbC4VcQHZbFbXf/icuUAfYJbdxpzKIs5Oea699DMBikoBtE0yrpyQS+AzGMdcNYuoUUsGPE8mCBYJPwn9dAyV6V88dmMlCaYpN6iFvuf4r3ve99hJd+jFnPPcMTLOCMrb9BOu1GsBXFrix7MU0Jn5kkayvHsgwE4c0ZS1maRv9111Py0Y/QIw6jyx2UmUPYFJ2y8mLwvTdYvOGlk8Xfv8ty0rWxj+e2bGGaZFLnTnPJh77OygPP4m9Zhm7z8cMf/hBv5Skw/xxm3f0RGg+8m/y+X+CYecHL9uX1EA6fxdw5vyWb7SOdOczQ8K1MOZ/DL4osLrSxedp+Llr3FDdddCX9chvJvm34GxcBkDtqwROkYm7FbOGFFr2jN+mTFr2TnOQ1Y1oWcVXns3fsYk3nBLu/cjYu21uX2W0yFicMWLkYwsAmJt1V5HWdWn2CrNNDIFtAVJxggePogDaaraMk0Ye34lnEnrNxOlPECz6yIT9yIs2k00tGk8EGU5KOLrlwF0ZpiI8B4DHLUQ0V2//i7MwLOdGjfRXFkmN3URR6WyzL2g7cIgjCzcDFwMn0Kq+BUN6NIR3Bq6dwmjkiSi+edBfL5QPoksTXTv9XgnYbXwm4CbXcTs3EVhSvie/2s7m0tZTUxHY+4Z1GLt7NQH42I+F3I0xs5vSxLyALOmpZI7GpNI25jVwqPcuTuZlsi5Qi2kTmBlKsXlVF3p3jKw/v4Uuld6H5p7G35fN03/cTHGKBKX8ttnyMYKGKVv81CKKEtMCLpyyMUuaCShtVnuVIskzXuucY/NMBWnwLmO4vPji3TDxCSpticfn5zC05vpJFYmCSJw6WkhbasdkNbOUO9OyznCVtQ7J0DEEmMJZltjDAVquDOnGMvV09fOqOnVy9qI7FjSGko6XfUnkNj12movxient/zIGD/4auJ/B5Z0NqDxOe36C6BVYICs6KGqbsa8ns7mRG03dflJ7lhezb8CjeXISN4kJaG2s5c+5C2tvbsdls7B9J8O5fbSZ6NHeeAsx2OZhZ7qbGNEkEHPQJJjPjOufe302nZPFLr8G5Ew6uOvsC/rDtAW699Vbee93HOWXnn/hA8gOco34Ddt8Bi94PFH3QRIL4iTPhqEbLx7A5X5xK541AGxkht3s38bvvZvuZc8EPoUAXWAKl4WJlEm/QhymoiKYNSyhQMvQr3EM/4jpR4ilhFbNLcvD9VkJ6DtylSBf8FytWrODxxx/nwIKrMC9+EOGe99Nx97VsO/B57hDO5X2nNDKj6o3LFi8IAiUlpx2L1i0vu4B9+z+NIAhcVBLja0kHHd3PIRmXsaUuTM/OR5h/VOj9xYInyEWhly68IC/iXyx5yWEwTRBPpl05yUlOlLtHo3zhgT1ofcUp0mROf0uFXmSqKPRyiQlcg5vZ5Z+HOzNCMJ9AlxVKMzZUwUA2QfEV/fN2BpsIRfuYNm0bUljD40wyninFDDugN03UEWBAmUZQSJOjBEOy4cukqE1HAHDkQm+ZyIMTF3q1QKdlWYYgCHkg+ILvbgNuBz78Rnfu7YplWdRPBolWJ6grDCJg0TDUjYDB7up6ZgdGuHnXf7AveCm15TZq4r/ndwOLsWQHF4d1qsUunLYEamIcpaKRWRNPUp2ZxCsOIHrLiF98B6NjUfIZnfV3Psg5JU9xdnAfp/kd2MU8pmUnd8DAJa7le/UWUiHNxon3ku0coNJ+JbqlYctkKVPqKAvVkSVF3T8vQw672LNnD/GxONaoRTQaZXR0lKqqKs74wqXsuv2PyJ0mUW2U6gvnYhoGTz74e9zOANXl00kNRnCIbmrd05kXXHTseGhxlZ6MTMLdw7zEQfb6m1HGDH7sfhfLxT1kcPFB+SHWHhzn53sa+SituH0h9HyGc7UnUCsX8dn3vpOGho9y6NDnkeQwEfMSHOyhVLYY1mC+r8C65xYgCDJ2e8UrTttmcwV2Pn4rPWIH7TVBrnr3+45N8e0bTvCuX27CV8jxdekQdY6daEKMvKHy1OgsvqufiYbEHNcUj2X93OJyMZpVEdKwR4CWNRNcc81V/P7eP/CzX9/EWcHzEFICvWIDjXvuPCb0AJxKLb5ClIxNJhUZoqT+zRF66tAQ6TMMzEPPcWj5QvBDRUU3iliPohRTuzh9fgxpElG3YZeinC9tIeOo4AljKXbTItq7ix+Jn0ItTONio5vy2+9h/ulL2VNRwV133cXipafwr8bX+YH1Q07f/x2+r4n8e3Ilt77/5YMzXi+h0CnMn/d7tmy5BHeom1Xji9nUuocVu3ayadZ8evZmmX902WS+WCPZbsujAYl8/vmG4gMgO4pTPpkJ8Ja/vo4V0vDwv8IZXwR/9asvf5KT/AOz/tF1aH02GgMC9kT/0UHUi9z8//c4OnWbGzmEKz3OM1UdzDEsTsntAKBUdTPg0BANEcvXj2GK9LlrmRiup6lxG6GqAbyuGIcnZ2NWFsXbYc9MInIl75UeI3M0YjcUj6O7FQTBIhJJUMhmsbvemsTJJyr0RoHA0de9wErgyaPvp73BfXrbIwgC8fIBJNHke6Ff47CrxLVv4lUC7Jp6hkTuCVaU7SJ6ME39cC974lUIeGkIzWSwr5RsawPro3eT6CmmCFkcameeXkPSXE5vpobC/2zCsHTSWgyPmeOJ+DzUknZ8QoFC4jzsVjuiIKOZOdyF7zGSW0at8yx0rwZ2AXSQLZmsnkSdJdB8xTnsObiXp29/mmQyeWwf/F4v5ZWVHD58mO7ublatWkX4VAl3QeO5LVuRJIl5H/gkZWWlGIaJ3dB44qf/RffkLirLW9GmMgiWwLTQPFo984nkP8ppk1sZ9/tIJeyc691FG3tJWB5qhRxzhSNgA1V0sMd2Ki3GbvxEmJq4h4/+WKGsrokF7lr6+hqYG7+NYIdKWLahmiKyXMDjmYNlatTUvBtRfOnRlWXoPPXf72VQqMcv5vnVQICHv/ZDqvwSBzNBdqf9fEBaw2fsd2AXUiRxMShX4LY0viTfwnukRxCwqDEn2eqcyb/KX+SKBTV84LQmrvv5Jr6cTfOzmwa41LmYNeY+Hhzzc56g8sfCEj47eGdRVASKVTpc7lr8+SgFm8jYwBAl9XPflPMxM3aA8TNq8DeMMqAXb0Tl3lEC3ouPLeMOBTGlIdC9yFKCW7mUCNPImpAyZH6kX8wUXrpx8YhWw3vFDHVPZXn3Dat4eMM+Uptu4iJhMZ/WPsZ9ti/xS+X7XNPt5Ma77HzmnOlU+t+cyGKPp5WGkk/QG/0+p1WO8B+Sh4889iBrFizkaecCLksmkXw+prJFS57PCWmeF37k4lBIQMOp0LeuGHn7eoXekWdh9+1QswAWfeD1tXWSk/ydMzqRBWx8rXoTS3M/5lD6HfAyVYLeKF7of/vXiEeDL8zRon/Sem8HZckxKtQoiqlRZlVw0EpimQqSb4Rc3k3M5UNTXSSmwpRXdGO35xjTyqlQLaZcEsPZepxGjuXOdfxZKXqiV0Qi7GlrwybrqKrzLRN5cOJC71ngVODPwK+A7wuC0AwUgHcCf3hTevc2pj/tpz4E1Z4JhpPVlDpqgTzLyi5mIDOdR0d/w7KSQZLyN6lwt3GJp/hTaajIQwpn+K8hGYjiL6tAiUvENQtD1PA58hi6hiQouLyzAcjqKQaGDmJztWGX3HQndzIiTjDdMQdF/DJhJ4xK/Uz75BmEqqoAiPYOEAz6cPp8PPbYY2zevBmf20PQW0Xb049QOhRhpHIee2fV4q6Zhyu+ncceewybKKGaBqWlpTgcDp588slj+2yz2TjzPR9j1qyZWBao+Ryd655h05/uYGbwPOpt7ZwSuYunG+aRNyClmCSy1/KIfhoJvYdxa4jrV8+jMrubhZ33knS38uD4hVQV1vEN8dv8vusiFroc3JC+F8tSiPULlDa4KZWL03KtLV/C653x8j+KabL5B+9irzqNoBWnwhziMeEXSFhQdNWgYHdgF/Js887mP+uvRy+Zw5jNRZdqcNrUVj418HtSsofHnDW8f+gOPpf7Hp/s/X/cWWJxzqk17HpsBxeiU27YuKR8Cf7oenKCwBPGMj7LnbDvT7Di0wB4A/UEkgcB6JpM0vFGnoAvYHKih97dX0Bt3cOUzY9T1XEpOUorlx5bxlVSgiEVxY+uJMngpUwdoL9kDmeP3cOZ9u2YlpO4dSU2cxJF7CNrnE70dwmWUokirOYsaSsNziH8Tje+7Ch32b7Jn/ZdwX8equPzK5wMmGG+ucfPtatmc9n8mjds/2rarqF/7Y9xuGLMiJ1OxP0EZbEUO8L1jD18J9VXf5BYLgtA0C0zAqRyRy16f0mpUr/8eaFXs/D1dWhoS/H/xOHX185JTvIPgKoaCJZJKNeHTTAoJCLAm2fJfu7Ru9C3/JppH72L2tLAi74XjeK1bZs6jGr3c9jdSH5SR8JkRmoMr9RMxlqDgB+ba4pcIUA6UByIjk+2MD28EYAxo4LWlMFGtwJZgzmJPSR8TsbcxXtJzcgoE34bHjNNMiVhZDJI7rcmafKJCr0vAGEAy7J+IBSl8hWAE/gR8PU3p3tvX7rildSHQLVLHFBPZ6ld4JD0ANGKpeQiKt7kJRxI+2mwZnIktZ11oTx5yWJmRRmLa5swD5jI4zLZkShpMcn+sXXE1HEcbg9V8xcz5fDi8/hZWbcQ4/H9TJcWkdWT7JLW4rxgHj3bk6RKJliZciGWONhupHjk17/G4/Hg8/nw+YpRiVNTU4yPjyPEDcJ703i0HCOhy+muLQrCQCyNmXJSMZinObOZ/sY6vBbIZh3+lmbOPK0Vw+tELivj2Wef5eGHH+bhh5935xQEAfesJWyNDeKihPCUl7nxI1iyhaC7SBnXskIAlGpUI8/II0foNOsJ1P0X9gGBubYqotZSnNkv8zXnjxlMrGS/9QO8WgNq5mHqG+/FpsiIggO3u+Ulf4ucavDj+9bQduhHKKbOVdafaRCG0Mwge62fo1UE0eQobQN7Kcg9PGebR8PENP7fsElBP8BkYYiIfZycIrDfWkbY2UiLVMVv/K28P/V1NqgfZPP+WTTlhmhz9NEdXs23XJ/lZ51RglIzZ4iHuEJ2s8NspmnL7QSOCj2nqxofxaiw7nThTTsXOzOQckpYQ7NJ19ooKaRAAW+g7dgy7lAIUyreIB3yOO8ybkcxTZSJu9BEiY2OfyWYWYxHc5I9uo6JwUh2FznDJGCrpNR+LRfqBSRD5/epJk5RajlDvJhLzFvwrb0bu65w/Vgz4RGdgf2LqZt3ZlFgeSte1/7Z7AFaGr/E4YEvMNOdYW2Hk1Xbt3PX6tPY8tQhLr0akqkoACVuJ34hzj9v/xBMvxW04uif+uXF/29EQMbgX4Teodff1klO8neOqpkoloY7NwqAlpp4lTVeH66u+5lvbuZ/fvsffODT33iRP6B0VOi5U0NkWUjjyCDOzmGsRvhA3wCCMJuCpSGadtyONMOxaiRDR9BUotE6TGMLomQwZlVyVspkfcCGezLOrNQ+ekyLI/6iX18wEWNKsdGaHWOvN4zl+N/Nh/pCTkjoWZY1Boy94P1/A//9ZnXq/wK7o42c2QQZm4STRkzL5HPmaVwQ3Y8gCVhBi6zhJxlZy1Z6seQanDmNzrE8fQNHWHj5DbSXOnj6979lSjMotDchK234KirY19eHoqiMjo3T3dvD0tOWkjuwB5wOCp42dm7bjqIWGJ+cxPnu80kkEozdv5721lZsTifJZLIo7gSBXF6FKIS100mXqCTEAmlfkt6SDZSq41xz57McbL6UodozGXF2kDF2MXeyhUykgZGITqeeo2RqE5YUocI5Rp1iJ+PxYCsJIdXXY1VVkUyn2b9nD3v0fhbpSzhjT4weSSGcKwPgidgmdrjrWCE7mONpph4bxCEmJXigTOWC8Qom9K8TUQ3KzFpcpkrOzCGyglXpPxApDVGY8HP3cwe4auWc436H5L5H6bzvO9yo7eRofAeDlPI77SrmcCXlhgwDIFDFqO7EshaxrFBK3sxRcGh4pFKqtebjpwoM0DSV2vxcvlD7ZZaIW6jo7+OwLcyh8HQumXyMM2rK2FB9CbUjPWw2q7ja0jlQeibzkz/n2zfdS8fcxSyrLsdPHIBRlTeNXiPAT8/zU5YwSDsEphV6AXA6iqNuy7K4e+coeVQ8QK10iJu6TyVnmoiKwLzSC2gqtJE20zw5dit5I8PMOavZte8ZYqJOn7OGUHQfrabB3LKVVHIZy+U8iuigYGSZsq7hy3ortZN7cGZNRvMa05QHoOc2AMxAA2LDCqhfBrVLijmwslPgqwR/HWCBmgbHy5eKq2i4gMMDXyEYHKXaKOXGgR8xkAjyYOUCLnzm11y19v/xqHgjQZeHCnEcNafj3HUHQvW8YgPls8Due/1CT1dhZGfx9UTn62vrJCf5B0AzTBRTw5MvuhoZmak3dXvhdNFSfmX2Dj5318X88Lqlx30v6+WktFa8yiPo6nyuWPcEWkFgKu5kkeEmqU6gu0XcloFNUYlpJXgySQRNxVA8pMer8VQOEhEraUmZGLM9XJu5BccRlT5BJO4olocsSCaioXNeW5YfXxlEegtjuE40j97NwB3AE5Zl6a+2/EleneunPQGWxTb7HCIBjVA+zqKyJGbOZHLOFOf0rWBn4hAbPVDmqUDJC/jjqzCUHPHQHtbdexf3KF4qAMXmwppMYhoGvdkCquhgy7BIiWKxqMHDmjVrjm1XURSqx8dZunYdf77wQp549BHSuRy2HCQeyaDKOqbbYNaSep7evgcpo1IqrcJROMCVP74Onztw3H4U3nWEaofIjx/5M/491VSp5xH3q3gidyMZo4zULKZQ1ozMAiZMHWdyI+HxIeQ9MXzxJ/G4LYKXXkqhvIzO0QiS1MG0wi9Q7ZXktVnYxDyneDsYlHfxOWbhE2JcXdVH6WkXURtoZt7YEFsPJll8oALTMHnMM853F9bxkZ3jXJmsRR6sRfVGmL1viM7972GkYw2VIS9/fPxZGrd9k0XaNqZbLnaZZ7I+uxDSBWqdNaxyNaLoAusj9+KS/ZT7WnG5fCiSQo+a5EDCgSkULx+PqFFtE7EsyAPulgDV7QrK4yNc09tIbyaN6LiQelVBSxa4ixou1m7lWuVOJLvJHrORJ/WPcX31AoxDEh/q+xR/6D6dXY1LaW0s+kRO6QpHJtI0lb7x5dCGxQp0WWCkpLg/pblxVF1CFJ3sHUrQM5Hih/c8S4dlIwxUGHHqa7+FKEhoZgGH5KI3tZc9ybWc/YlP0rd7B5ufvIfyaa0Urv4QTQ4P65/qJbrtAZLD9xJwtTK97Cw2FPoRklt5Z/gy3pG0kxXbmFu3CoC08WHuKfThsT3I9HyB4G4TbcsQumXgle/GJRUTllqSHVNXOZwspXHWLJwXfhvK2uibzFAVcGKTi3dXWfYSDp+OWljPvwynqK+Icdeef+H34cuR1/wJAZ1KIYrX3cKIMcJvexdyrr6FGasCWIqbm3cmuN5bzdCRQwTzGj7Hi8vzAWQNk5GCSlI3mON1If21n9DY3qIzePUCGN5ezOXlDL5kWyc5ydsB3QDF0vEWipY8880UeoZGZaGPLmU6Ldphggdvoz86i/qS56dMZW0eJsX7ajbbTCB2gBLffHq6QlTNnkZPZg2WT8RxNAJ/tFCOlyRxXWFQL8e/s4N1kbNQww5KosMgNqO7vMAoU4AlFu/RKgaG5KCsvp89e97LqtP2v3n7/Sqc6NRtB/AQMCUIwr0UffKesSzLetN69janxdVLVoWC3SKiZNlujFCuTzDgHmZLYguesVXIQpgy7yQg487MQdQ3s3F+D6dt6mC0Nke5laDX8NK2fwdnHhljKtjOWPkMCjYPlWIWVYhT2DKB5Yoy2qTgVyUWrelh+ugIe2oraD90iN3OYvSTPzcTSUjjNG3k9Rp6nxinXmyj4AjhzXZy5Y+ux+l+scXE3tSEHfjS+z+BaVoMHY7hDtkJlJ7DQ7uHueXJh7BZU5xXWcrk/lHKxVPIBZ4f2kjZTqY9uA23K4W5qJ28w06JPsl8Xx+Z3FX06P24nCFqMmP8wLeez2of4LfDLZxz/5NsNQxGNAcuwWLa2QvoDPg46G7m34Me0skJ2Am56DIa99/GlujnUNjNwO1fIuVv49KeLyFh8oTxHhzqahrFIJcqQLCYIzCS6Wcoe4Q5JWcz2VbHwc44ucliyg2bQ8MbegqbU6S0vh13wI9pZpFtpaRiAQ6t38ruTfupC7WwxDWbebYzSJkallNEUjWWmg08M+GkosaFw5pNg/kbLpX/k/zujyPccBviPZ/mE9zHbf0JfI1F58C0ZOd36/v4xiUz39Dz0FRVJmwhAD740BZoH+eCzIOUTWZ5asdV6JkYy8QuNjriPKitYCp/GR5zIYg2+o04Lc316I2Q6Va5eNUXqZkxk5bFy5l7zoUEK6uRlaIgslqq+dGDdu5/YgvVTge/Xu6lPxfAvitAsz7CIt8CAJI1dobkGL79Qyx2t5HKVGLlPSQFiaSYRzQyqNZnyCz4BIMTA6hHLHTNJJOL07dlHecPLiPnb2bvZIhnnA0sWbICmymxb/tB6pfMpqHbQ3XuAQ4k3UieUmYc3MBT+hk0eq+lXtiB7Pbjtg5jIdAZdTLjwP2onmq++uBBVlWFSE/2sfNghEvmvdjHaKygsWzTQXJmcUR/66xGzgr/1TUzuLn4f971RaE30Ql1b17k8UlO8lbjNCQWYeAwi04dQj72N7VjmgZaPo/d9Qp+bpNdKGisD11OrfwsHxt6gIf2f5z3rny+Do5ouXHIz5A3qpjccReNM1fT4pt/1DkNBvJdCEIdNkfx3tufL8erJ9kt1NOj11LQ8uyJtGLVSHQP3ow/9xkSzhB+wNRBkcqRTQ3Q0WxOBCmFzVb+qmUd30xOdOp2oSAIjcDVFHPqvR+ICIJwN3CnZVnr3sQ+vi2pmZQ44HNgt2cpMb1MOsZBg7FQivrocuoTIUx8JEIqsu6mPXGQs373OT4swBOpGylbI9JXs4wyqwRK5rGlpNiuIQ3hyfTjztjI28vJe2ZSBtQcTiAZeSYaz2OiqSi0YuYksrYPwQxgTw5y8FqIZ3ciHpJpGj0VScyzYLHCqsvfi+h4uYIozyOKAnXtoWPv3zGvhnfMOz7rzpGuXjbs28T26EHUMYX68Zl0uq7FFHSwNjAsTlHInMcs+WE02c9G1w5McQhsIQYIcZ24lS69nN25EtqlceYrU8RNB9959gC3fP4arnLI3PKTP/Hw2DjTND8hawGDEY0m71LyxiyqBz9FzeTN6KbA07nP0CGvJGsm2ZpYi9TeSH3ZHOK6gKNbZqGzkcHaOCVtkyx912LUvMTAvh7W3fYfjE6kEINhuianEEwDMZ9BymUQdA0BkO1u+sa7yTgOoUs1OGpnExu30zqvghKjwALhXMiCYelM8HFKbB/FUH7J1J0BbFaCR6yVBCkgaCqKrJGV7OwajL9BZ9/zqEN9RF0+XIUCH49/n/LBcUyKZehcxg5E+0IGsmcyaQRZbbuZsdAPMQtfZSLXR3JFI2VXFgN+qs6eTWIix5M3HSATL2BZFjNXumheUEYupbLz8QGumt9Kh5igcjOwqcDtZ7j5w4JSvrVd4OcU2CdEeWx0kiopgd81RbWYYq5VRyS1l31mN9nUAIphsaL8cio2NVDGdLKCiSBksfvbMKwF9PrPZmh0H1Y0TAiTrt7NHEkNAhr5zhZWlF/BpDiL+/QfE95XhukOsrrqOuySm7KCA5s3gIOiD0/BXEAk2oRQswuAMaGUVmE3ezXjJY/l3qkon+z5JeXNK7hRb2VcffHkR7ZnE05fLVrjadig6Kd3Uuid5G3MKfh4vy2DbgrEVCdC7m8TevueeYJ1t9/Mh39+y7EB5IsY2wtAJtSBY8ECHL+/nPTOe2HlvwHFaWTRkrEJhxjpXsBUYYSAo4K9+kGyuQOUjWdxL+ijbclz6FrxmTeQLqdSHuegUg/AHlcrAIIdjLxJSS7KiLOMKtFEtVeT8J7GWQNryCs2LNlNVu2jN2VjoW5g/3uvdWtZVi/w78C/C4IwnWK07VXARwVBGLYsq+5N6uPbkopJlc32AE5njtXaTO6ybyShJJizI0KNcQGWNEVw7McEMpcRjPay8nvXI0rFk+Tsf/p3Ou9ZTUv3Y0yWz0FftJzaK6+gtM5LsKJY7eEvxtaJ2BT9Tx7kyLMpChLkp/XhKvUwu2w2ax4dxhdfilJIUnjXAN8/67PH+vdK4emvh6aWRppaGrnu6PusmiUWyXPHNx7AVnDSr0ww23UGB1NBFE8SU4Tm/fsok0vwLbYzEJugINtoFGKYpoUrMgplVfRoKud99V5maH3YPTrtssp6e4przVNwmOVk9DHccgVH0u9hWL2LnHo1Hb7l9Ge72Ta9wNXnf4g1f+jjubXjlHsVlogWW4V97B4fgycs5PvuQ7YsDNPACFZgVjYBIOo6piTC0eTLoqEjUMwG79ILSDYXk10bsA6tw+b0sedZJxPTzuScU5eQMVNseOJeTnGuYlf8RmZ6vo4dg4ToY2Z2N5JdYlvejteVIafYGBhJktcMHMobd7NIDO1k0l3Pb3f/F6VVMdYcWUjftCz5yQqWdLyX8JEgZZaJbmlE1C9SpvyWmFBKT2oDfnvR39GyLNbcv5M9a/oRBQlXWCCTT3H4DzsJPq1gTZagJ5zsXTPEKVfMoE/tZTYWZz9a4Jz3N/NRM8s7d6cwTA8YHjAsFtZ6uWsiT9YosMIcYU6sB8UbIHLxdTy7fg0zUuMks8MMqQOIGNRd+Tnq1oxTNTaPRmEejS9IOaj69rJ4ZYL4cyF0UwOaWCJey1RohJbKc7EsGUxwIDFtiw+3pXFK2aXUuFtRLdCOVs0YtsIsFdLo+fRLHsuKZ7/KWQN/wOj/Pe6pWUTf/R2oOuXY95G93YxsO59Bw8PXnznIJtmBNHnST+8kb28CuTTq5Dp2llbxXKSBRRV/29Tt1PAQ+XSKTGwKf9lLpzjSR3ajWwpCaTM0tRK3V7Eoej+J3I34nQqpnIZdHEEQTLJxL/Ggjbgzwx5lBDwBFJ9CR22SQsFJPNpAN16iaS+14hAaCnqTF3tPHEOQ8Mk5QMAjTNETqGK2YnJo+juxGxneu+1Odtsr8Kjl2I19eLONiAavQXG9sfxNm7Us67AgCL+lWAbtX3gzY6XfpkTzIgk1SGWgF0FV2VOzCzMd41O99RxorqWx9w4Cpkr51GMErrwSZ8fzyTVEp5Om22/HSKWZ0d6GIL/4Z/yLSCsLlVB21QoWXbXiRcvYZ2X57k3fwQjo3Lrq9pdc/83GZXPhqnGRqTJxpEqJ2/vJYVDrXs4G4SBYFq58LVU9TyPtVJmJhbeij/1tjTSN9NLeGefJVacyrxwmJTdhZ5a0oaAkM2Q8YKgmAiK/Ezu5VI9S71pKSm+l1lfGk/oUQxV2GsbauPs/9mJzicy/NEh2y2E25BIcVMYJGSaeTJoRhwtVkhAti3AqRfnhbsojEYJTU5iiSMLvZyoUIhYKYgkChigxWFdLv6ZRsXQVmVgUbWoCa2KM0a7buSdjUUhPkk9tp7O0ijZ3Bw+NXswZpQ/RmWomaH8f+exGWoYeoLJxjNWpHh40Gtk3nGBhQ+jVD+wJMjnSSRPQHPsgg+YHkbxdKAP7sbkg0O1mQh1kzdhduGQfZ1ffQEz/FHkzy2Cmi6HHJ5k3N8lDDzxC/+RB+MsspQqIILgtxpIm2LpYlBlESday9qYhCAVw1AtUjijs/NY3+P55C7i/I8Z8Pcvp3XfwI+sK1k2tZNX0UmY2Bfn3B2UOBWZha66lNyayePXF6NuexpdWEHpU8uW1nLqske9sW8fi4Q0U7HYKzXWUlZczfaiE6ckOPnDI4BeKwl6rj4A5zHTXKeCCcRG+0GzyXwcs7IKEZ49JjRWgxt1KV3IHLb75xLWiD92gHsK03OjRAZZ+e5SfXTefee4pcJVA/wZmHf4Dv69/J6tKptN92zNUPHcPLCoKPcswSd/TQ9hRjU07h2v++Ct2tC1i0cnI25O8zakd3k3m4DpGlvkxETEz8b+pnVyq6FeX/muhN3UEup6AxR9CH9nDIauWEq8LRJH0zOtYuv27PL19M2esWEEyk6FM6Ma03OTzDszqemJiGpcuY0z2UCivwVmWYyLSyNPb3sMmh4QJxAw/SKDXuVl4aANHgnNwksHmUykxo+wRFvLbq79AzunlsoH/wTeZwxANRNGJ7IwjTgSRbW9dNMZrEnqCIFQAV1K05i0FYsB9FAM1TvIa2F9yMWqhE1FRGTEHsXIBzuu+gMONNXjdFmc/9DPkF5h5810xsjsiFAaS2Bv9BC9twSa9PjG2sGIhH3vXx6lwV+BSXj2Zo6WZpDePYuZ0lFIniAJmRsPe5Ecpf335gVaft4Itt+4HzwA/t3q40epgQIgga35Gq0+jt3YlcfkJHOmtLD8Q54Jnd5JyOHh88VnM3neEteEyysQU7kgvFz23g3hJOetOW8lO8yAFIcEdwhyeESzuwsAuu/g3K0PUHuX8wVLkhkkk3yDjuUmGNxb9q7BB7cAgizZvQTIMXniJxsqruHtJI8bcBTTkmwmUyLQuDNIsZIhv34aaiaHlUzRu3czuljZGxicwZBkrVAmhSqRMkkL6aUyvC71qHtsmd9IgtrCy7Ao2TDiYGVhBwF6GYVVjG9zNPeO3kSz8C2eKG9g5EH9Dhd7emMk7cwNAFSO5w9S4ptHgLfoBxtFYm3mSwxUdVEz2sDH1NKf6zuVg4QgZyU6F2+TmH/+cjCvLtO5uQmOjHK4qxZfOMLN/GF8mR39ZiK6ly9g8reHoFrsBiERBUCxqbQXydz3ET88eRZAUuk/7V/7ruc+wSXuaO7TvcXpDCz8vcRIZt7C6kyjAtoidd7/3I3TnCvxibzdX7lnLD357M345w+OVNSyYO5uAGmE4PkYsP87Z1mw+kNCxWdDT0kZj5Y8oDKRxPHiQX5z2XjZWlqHtS2CjOB3ktYq/dq85RKM5k7FC0TwYUcsYyd+Gb2iEsWSAI92HmLf2PMACUaHLN51HZn+auYkB4Bn0yPix45x8ohdbzsVQZgs17sW0B5ayd+IQiwLb3rDf8iQn+XvDNAwcejE11ES+GKRg5VJ/U1vHhN5U9LjPra2/Q9j4P+ApQ47s44A5lwpvcdq18rQPoG3/T4TtN8GKFWSSCWRpLwPWNPq9LXjdbrrFFELWgS02gSOkIssayWQpY5JCvRTloFFOn1iB5LTALhFypdFbISVkabviCJtGTuOK0O3sHmtF1FUuSj6Gni0FJ4guEUnScE1v+vv30RME4SMUxd0Kila8+4FvA4//b0ThCoIwg2K+vmVAHPg18DXLsl7aWaa4Tgfwn8BsoAQYBx4HvmRZ1uib3edXY1+2Cq+teML2y32c2f1uZG2ScqWfZTded5zI08YyTN60H9Eho1S6yW4bx9JMQle2YiQKWLqJ4JCR3ArC0SjDE516XVW76lWXsSyL/MEp4g8ewZjKgwC8IAxHUESCV7XimlUKgB4vkHysD6XSjefU6hPqx/JFLWz5zXYEQ6DS7OJOcYS8YsOVChFaIZDb5MehXoGlXMKhBYPsN9KYTEfGxv6OLKc//RN8ySEkS2b77LNJe1chGjt4TEjQJQa5RtxGvxbkBrGOqCDhFLJcYAyQkbcQTZeCIBCMRmkYi1LR34OiFtjTUs99Z38KU7CRlyZw6HbcWhkuvZRpSdBSKnHnOFJPJbu6AdzAaRSkHDHnGPtPX8O0+EZWpqupHnWRHB1mck4HfRXlpN0+BE3Dn0iSDIV5dGQTF9SdxgrxMgzL5BdWgncZAob4BbSCC1EQCRsz6DnSAyubXvV4nii7xVLePwEZLcFv3Lfib05xlWcaR8Y+whNjozxdcjluCpwpRTmU7mcyvIWp8b3ooTLGbWuwgFk79+CYGqduKkXN6Cg2w8IoL2NDXYidsxU2Vz9BuVpDY8TFvG6RsqkEJfEEPU1N9Dc1MlhbS2ayjVbWo1fLjM74JsKBe7i854tc/INPoIkOxCYH7phFKlZAmixw4717UUVQ+tI85Z7NqvxuJiQvN5T5mLliHs7yEN/qGeWhA50s2pzlFMuF6ZL56A3z+dGWM5ltv5PDAZnWwUGenF+FZqnYhKLQcwrFa2+kqppCIkc27wAMzIwdBBn3yCQQIBcdxLC8ZNrOw2sz+Yj7Epb7vKQORFlaeiFH4huK18NUntSzw/Sm9pFsjTEZF5hlLWVg5CBGfAipkAb7Gx9NfZKTvNUUcllsuoouCiTMo37e+dzf1NZfhF4mdrzQS3YdxA9YD92IXIgxbIVZMf4YtL0byVfOXt9K5sUewSxkYGAnNiHBLipIKRbTHBXkhR58ooyFTMDeX2wzWUpElJgjJDggVYAhIgSL94W4L0hCzOPSs4gOi3mJ/azjFE7ffhtC1kZlB6RUEZwge4vyqLa04W/a5zeKE7XofR94kKI17xHLst687K1/hSAIQYrl1g4AF1MsufafgAh88RVW9VMs13YLMAI0Al8BFgiCsOitTBNjWRZLgh2kI1l0nixWHCg8zrJND9B49x9xlLtJPN6HoIh4llUxdddhRIdM+afnI3lsJJ8dJPloH8N7Jo4TXAgg+YsXk5FSsTf5CV01Hcl7YsWULd0kfziGoIjYm/wgCmhjGZKP9ZE/HEMucxH+wCzs9T706NGLVRKI/bGTqdsOkWkZQw44yO6ewNIM2FkUqcHLWo4J0JdDEASi3jj+TC0Zn4VuFDW8khO58upTSSo9DO8eYX26HzVjQ5QaQB9EVfcie85gz8wPoFmHUaQ5CDgxyWEr+CiTYxi6gN0O06Uoe9VqZDTOVQ5iiQJ5RwXliQTzn3sOd0alq+l0Ns5pY6jUTn18IXatwKRk4C+Uo4o6w7YUEds4nZKfKdHkzLogB/UhrFETxbRhWDY8mouaXC2re97DWM0BnhbyNBfmY5WoVI3t5qx963Df+EHU//kJ2WiUhy84n7RnhMdHU6wIe/DrMFN18fPCXj7tmc1kfohe9QhL/KuYd+Rh4KzXeMa9wnE3DGzmDLpzu9nRHue0UIFJzz6+vTtBFh8Xyjv5ZvhRPje5AEc2QqZkJtLYfqxwmLKRESoHezlcIrPrPQ1Y+7Os6H8fSWkTD3Y8StoF9YlZ1E8quFNTrGkboPmMdzF1yyZGm3P4UhN4u9OEHSV019XQJa6GHb1He3YqHjHNre5f0VxhJzCyFv20z/NrLuFnD+xg1dPPsXD8ILPi/dw0/Rz+OG0F7z7wCOWdT3PbI8/x0/PfQ7LJw/srwmxuS3LuQYu1tji/2dFFIr+cecKdCMtMZj7chSUsRTcLKELxOnFaxdti+8w2CutSeLSi9VouSCCClNLBbZGPTDKSvxVht0TCZ2NarUjbDBuhzgBuTy2J2DiWZaHu7wIEDie20NtyPtZWi9mINLlnMph5lobJTqie/9I/0ElO8g+Mms1i0wukHDaKFgIwVe1vaiuXLEbBpv7Koiel+kgZYbzZYqLieiFC3TOfgJbZUDWXkdbrmLvtGTLbbsMzUExxMmA2YpfzGA4Xbe3rCIaG2P2nhXjKsmh5N/L4XGI2AQ9g+RWEKZVCeXEwFveFSNldhBkBYJG8jcPr5qHbZbxxiZBsEdWKzzvFVZRKDWUNf9M+v1GcqNArsywr++qLvSl8hGIFjsssy0oCTwiC4AO+KgjCd49+9iIsy9oAbHjBR88KgjBE0ao3G9jxJvf7ZREEATNSoCbXQB+g+vZxxn0jyLXLyGyD9KZ9FLrjAKSeGcRSTUqub0fyFB9EvlW1SD4b+kQOucSBoIiYeQMjqR6zuAl2iey2ccZ/uAP/eY04O0oQHTKmapDdMU56wyiiS8a7sgbBJpE/ECW7O4KZKepfwVYcvViqgWCX8F/QiGd5FcLRrI9KxfNTtaUfnE3isT4KR+JkB1PYG30E3jGN7M4IyScHyB+awtEWwrWgHHuT/2UtfKVttUjbnEjmIZIBF6KhkFAmkWUZx/QgwZ0R3vuZd2L6VCZv/hAZuZR4+alsvPd+JO8VyMzFKHRTsI9gKT5krR7BlaLKlqWur4+R6mquNLaj2xQkLBYd7qH80CEMS2fdvA4M96W49TC6qFGVEDjkyLHgwul8elULkiiwvjPCPZs6qbI5WF4R4JyOClrKizUbo+kCY8k8mYJBLJFmz+EBdqxPM39oBiYG0eBupmQVg9lM+NuY97Wf4M0Oc+Ca82nd28mhGe34PL2s62tjcbmDkDTEYbuTm8buxmpP83jNlfxhl87MjIuxqSQVId8bci6ekoghCjYGxN3kS68jMLmG9QPTCAhZTpcHuUg8gC3WiSAvQjFUlkXgqVAYJZfDOTnModImds8tkO0xOH3oYxiiiZezWT1Whzcdxnl02tM0JpCGHuIm7kBcKaAJOoIpsiDTQuvmQS55agQhDKI6gDkgEg342bp8GY84FtL+7CHmmXVM9N6Hp3SYf4lO4bYyBBxJ/N4kH9l7P0szB5l7pJO4w838VDerI1txjRRoHenklNnzGQpMZ9zspi9Vxo3NiygduQBj+kMoT/RRHldJWRkcgsJn6/6b63qLU9fe8jAFI4JbdgMWdqMo9OyWnYrCOM7eUQR5Ft25A5SUzOLL+1UKgz3YNS+aqRJQKklORLCOjGFaIjk5zZ8j3+Da2HcZF53Ue2bSmSqlId5/Uuid5G1JOp1G0QtEnc9nbTD1l52Ie2lME7TMMYteJJFkQyzN8qAHLAuHOsSB/Bk0z5CwDTyC/hdHmy2/hEt+ilW7nF1bmmjf8jMCmo2IVYGUs+OwZ0lXb6K0dAAAz9L9uPwqcrIGWarCEPL4EFF8Go5Ihmi4WA0q4QuSsblw6hkA9OkGH/vCLdx+0VJsw6NkRJm8VXx+Kp6iQcT54Ofh2odBemuiMU40vcpbJfIAzgMe+ytBdwfwH8BpFOvvnih/GQqcmInrTUI3ddYbh7msUAyw6JgaJVZXyqwvfpnEI4MgCgQvb0EucZB4pA9brRdnR/i4NtzzX72wumdJJdHbDxH7YyexewREu4SZLQo5pcaDES8QveVAcWFZwDk9hHtxRTHx76EpEMBW7cExPXScVTAW20xX97eQJDe1te+hNHwmgQtfPJ3oO7MeW72P7I4IuQNTZHdEsNV5kfx2tLEMUsCOc2YYZ0cJksfGtZefzu3b1+KL1ZHxRFDUEqy24nYdrUEQiv3yn91A7afuObad6jmLuf1b38JwuFnxnus4deUydm3aybpbiyMuVybDEZ+bmpERxurrEYHFGzdhaiaPL78el9WOw7QxRYHDjRLzF9fhVCQ+2152XKLNlW3lrGx76eNe4rFT4vnLzSzEOXPr2LV0ii/8YjN9uknGakUw05Q1PM4Vg6ewbd4/M6U8wwZvH+fKwziy9XTqQ1z2vmXs2beHriM9LDZFbio/l9X16zlSVsPolp2UKgsY3XgXFRd84FV//1ejkJ2kMeGlYOTwLdjNjXGBwcGF2IDVtqIv3Xpa2ao2UE0CRJHo6FOYdS6E4SNEFl+Du6+K5UcDR+0+i1Mu9hAbC7DzCfAE7Sy6spp4JM7hjbBw8N2Y2p/w5mWmpZYjGUEkbOxveo6vLFzLeybewVDPRpxyio5IkjmbNrN/Tjv7m2ewXyheK458DrG6nKziBEFgvWXgLBRQZRuRtnpKnHG65Qaq9ASuQoa+hga0A3uJNftxdO7l+7vWU57L4g2XsH9hI33zm7l0zyM86odTclXsdXdhYxYGJq5QENXM4kZCFHT8R3337JKbZbGN2GQ/lMLe1Hai+9Yizr8eYWoLrXmJeqGCkL2Syf4juEYLxNUkB10uGsccePN2BhWLSreHhLYII5fmrUm6cJKTvLlMJlLIep6k04ZsmpiKjKYDhn7iomfHTVhPfhUKMwCZh11hHtnVzWMLW5kjZJCtHAmjgqHpn+Bx+6WEt/6am6LzuV74E9JZX6fc7+DX+gX8OPEj7MB6lqBkcoRDEvL0PxNLhOnRc8ytySKLFmZPFc94DyPmanHGO2kODbMgMc5vxU9jVwskfCGyiguPlSYXteMsKWB2FBgItVPBKBOqi5yogGBHdhZli31i4C0TefCWBfu+JtqAp1/4gWVZA4IgZI9+94pCTxAEkeJ+NgLfAbYCW96crp4gpsAZ8bnEjAx6QaRQZlD62c/hXdmAUuVHdMjYaoqWorJ/mvs3b0apcFP+z/NRB1PkDkSxCgaSR8HeFMDW6AOz6HuHIGBvCSDann/cONuOd/gvFCJMTa1jMvoskcjDOBw1aFqCvXs/htNZT23teykJrUCWvRhGAU2bwuGoxNESxtESxNIMMtvHSa8fwUhrKOUutEiW+L3dxO/rxt7ox39+I6Mlw9RaMwhO1mBZEpdevggA0aVgq/cdE3ovpLallf93083HfTZv2Xweun07/mglrvhB3O7LyTrjhCafpXxslD2Ny3BxCg5LY689T9wl8eF3zuWLsyreMKfZufUhHvjmuewajLGua5Iym0H8sMXPYzqXSElKC+dywSGB4eq9nL/mNjadsoI/PXAvAHV9/Qw01LOMXsb6qjh/bANbXAaXmc1kdw/ABX+1schBCNSD7dWDav5CcveTuMx2hvJHcFXmObS1HF8qxuzndiArIBsG0YpZDFQ5iFaUolWUstMwEHMZEKtw9lWxs/wZ+q0yhHQzCbfMwrrpOGotIokM1HrI1/lZm8pzt1NjdVZk8diVADhKHQj2BMODR+gYX4FLdfGslKfZ/34ibYM81vZnugt9aNZGyhNBrim7FnnrAU4R/owiQKD9DP48NMl6swqHCI0TFmYwTL/oZUb0MNPXHMSwBH5z7lWY9XWsfPhmIjUV7J3Rzl7Amc6Qm2jA65xkQmrAl46QEY8G4iBzi30NNWsrqbVUygSFplIHgaEsCSGLS3FSkx/B6a8B4A9nXsTl9/+C3swuwoJJtzlKRaqAp7yV0YOHsCXqiOa7UfwiCzLnkXdE6DHdzDE9VLvmMdI3SO3C13myneQkf4dEk2lK9Qwpvx1fQSPucJLVbZBPgLvkxBoZ3Y2QT1DnjtOdCjMkFwfU3+8d49bgJKblRDObSSUF9uq1tE9I2MxyhjIXY/vPnZR9eBmPmItJ2UrxqhMcFuowshm8s7KoksZz/a2MTdqZs2otYLDbMOgjjRMNKRdn9dZhRsuKiUVa+4+wt6UdAJeSJjfsIlDiJ7dgghTF/ZlMucnJCoLoRXEmkHURMdT8hh/b18I/gtALwtGCn8cTO/rdq/EwcM7R19uB8y3LMl9h+TcdSRKxzatg30M/w5FSKNQZ1M9fDICj+aV3yTRVTFNFlk/MaTud6UKR/djtZdjrfdjrX2KqTxJwzgy/+PMXoOsp+vp/weDgbzBNFUUJUlf3QZoaP4kg2JiYfJyBgd/Q2fnVl1zf652JzVaKoaeRXX5cFzfg9XTgCSzEbp+BNpoht2+SzOZR4g/08K2vv59PfOtndAy3MeY+TE3ZRcfacrSFSD7ah5EsIPlePYGz7s5hi89Ed7eQEpO4TC9ZsYVDNdMJ59vZ7kyx3WnjrHmN/NdFM162rNXrQRIFFtSHWFB/VDivbGfs9vXcsieO15bghlQ/1ak5/OmMczh99zNMlrdQPjLCpG2UaklEqDIwMyJCTiBid2BlLaT4X/2Wahbj5yvJrPgcvjP+5YT7Ft2wHY/4Dvpto6gb5qIKDubt3Myh2jx5Z4bcjCYCR5qxJYewspPYnQUE2Y6UiGATV/JYKMOewlKWNoV4/4omvvHgAS7/2QYM08KpSOQ6R+GpLkQBzp1ZQUOlH/NwksdGp9hTiIEGBCq5IDXGjNh8dKHAYOAQdaMzmJY+Fck5iV+3sa86yg8KP6G8xkl332IKhRjDw+PsrRzArvZhiBZPNljUxIKcvrWc6b4DBII5StrSfN/zQ35gvp/di+aR8Pvp1/2o9gBV9hEW795Bc+YAfdVj7K2biSoUHV51S8YQCgwODeCUPLSJCu3lLrxDg/zRtpHTzSZMBLxeL1DgSHkNMX+YkkIOBAHD5cVx8DCUn4V5pIBg2Yhro0ybyDNVK5L29mBXmhmK2mhwtZCODbwxJ9tJTvJ3xlQqR4WeIen0M0MNMj10Jkdit2JkokgnKvRixQCJRneMcXs7EacXEXgimuTp525mgX45LfaZDIxnEbo2EZKqWVF1BaJgw8gKBGJ5DCQeVhs5S5MYUqoIqF0oHpG06mRK1UnEZrNxoMApNVsZUW04MiFMScMenovRt4aMszizUxsZPSb0vGIap+KkNHAqQ9PvpHLbBDm3m0TMjW5TEAQvimMUe8GAcMubcXhPmH8EoQfHhxz8BeFlPv9rPgGEgBaKwRuPCIJwimVZ+Rc1KAgfAj4EUFf35uV/FgSBXIlCPrKLQqeXiuWTmMoo8NIn/sTkUxw69HlUdRJZ9lIaPpuWli+iKMUHfi43RF/fTzAtlWBgGdGptUQiD6EoIWbN/DHB4Isz72cyRxBFGaezDtNUGR9/kERiB9lcHz7vbBobP04qfZB9+z5JoTBGRcUl1NV+AI9nOoLwfGBFedn5lJWeRyq1l0z2CLqeQhLtKEqAdKaLqannUNUJJMlNLtfP1NRaTFMFwOebQ0P9RwicvhjTniX9yCTmZI4fff4jfPTH32DutGa08QxIIkrYiWN6UejlDk3hWVz5isdYHU5z1jvOZPutgxSEFOd4w+xVdaRcB27dIltV4DdfesdbEvL+xauWoTv3c25HBcvqz+d7X3iI5tjpPLxIomFwK4+cneNQ2GJ+9z7a1TAlk1GcuRzdLc3ErQSScfxlm5roxyxcycC+EWadceL9MMaC6ILGhGuQBK34xob52lWTmHKAaZPNzBx7B6JUTtrbwLrmn3HBZhc5px9bPstEeIj7vvtRcrqFyyYhCAJzawN886EDzKr2c83iOpJ5jc1HpphXF3h+CvwMeL9m8PDeUeyyRMit8MvbH2bvwFYwJiibGCevuKhJzaE02UDQu52WjZOkgo2MhZIcrBln2D9K2jZK66CXs6NzqG9r5b4Dfwbvqbi9p3GwzcHmynWszuylx3RRb0vTGSjBbyWoE0XQ4+z3JBn2zeYLhw7QNrCfw9WzyB+16OmCDBSdqPu8OZYaBrNDbpDUovuAJHBT7fWcJU9haglOTQjEK+sJCwIl+RxRuxMtNYRlmfgzVSBBTokgCSEkDQxZw7B6GFZnM83pQkicjLg9yduTeDpDVtAwRZEKbzslzmZ64mXkEhN4ylpPsJGjQs8zRbevgSlfkCtKfTw0FuWIGmemuQxBEJCH4gQmdjIjeCZ5weDJyds5r/RqzP39lMkqWzPlmOoFWJ4IDklBc0yhqk688QJ9koenDpxOzWgpujlAAQ9+VKyaFSSSA+TcRYOIs/C8bHCTRlfKCFauYCh+J/PV7RwsrcY/HsNSZATRi82RxFHQoPqkRe/ViAGBl/jcz0tb+o7Dsqyuoy83C4KwjmIk7rXAb19i2V8CvwRYuHDhm1rHN7t7B5YgEN/vp3xJgoH+X9HW9k127/kQsuRhxozvIQgSnZ3fYHTsT3g87dTWvJdsrpexsXuZiq2nrOw8CoUIExNPIAgikuRibOw+RNFJfd2HmJh8ip273k1V5ZX4fHNxuRuxKSEGBn/H8PDtgEUwsJRcboB8YQRZDuB0VNM/8AvGxu9HVSdx2KtYuOBP+P1zX3ZfBEHA55uNzzf7uM9LS8+mseGfjvvMNHUymcPEYpsYGvo9e/Z+9Nh3wdbz8G6vJXBeI7/81FewNIORb27GKhgo1R5cC8qRwg5STw3g7AgjuRX0VAHJ+YK0MqZF8vE+Us8OMX1GiJvKU8z2l1Aakbjk8mb+cM8hyqscXPKZ1W/Yb/lascki37501rH3n/7mO/i3LzzOzPEV5Nxz8WU3UzGeYHfjJkq6R3lotsT167tBaKFXGqNGdxzXXqyvD9G4Bmts4wn3wYoPYmcm49oggqkgOEzWThvlwq5/xp+tRbQUVDHFxrr7WTpwEbMmLsIQn8GZL/p4SnYNUZJwv8C5rNRr54dXzzv23m2XX7ImrEORuGx+zbH3Cz97FX/87c38LNLOo7lig4s1jYVZH9n0GTg8YFc1wmMiwtHUJ7oxgqX24a52cGhDglnOf4JskBFvJxxspeBs5sstm9Hcu2memMcF4hyaYkkOTSzDBGa7IvQ07+XD9Zfz/sqNKAMWedlAsARUsbiN2fu2sWvOEnqtCC3eBiakohO5JkDIH8KdyGImk3z2+//N3eecjZhL4+g+DDPnMVTmoEyN4LFXoJsqcnScybaFyDk/3qRKvCRHSsoBfkz1ZMnwk7w9SaYLJJXiYNrtKAPAJlaRS0Q4oeGNaUB8EN0WxEuMUJUbTbHTKhjEjuzDr6gUzOkIAnjiceryAhXBWu71jqH2DdET0qjcNsyVfbeSD8xmyupAtroptdeg2Y+gqk7KR002BVwE1DSuvAtbJk9WcVAj5sgrAulQO/nAXATLotR8PjemiwyGswVfcC4AjXI3j5Uvo7GvE2SQRQ92Rwr7lAklf6cWPUEQVr6WhizLWvv6u/OSHKLoi3cMQRBqKSYte01p5S3L6hcEYQp44xKR/Y3Izz1EziajGgpOYSXjkYfJ5QdJpfYDIlu2XgKWQb4wRkP9R2ls/CSiWAxMqKl+FwcP/hsjI3eiKCEqKy6hselT2G1lZDJd2Gwl2GxhGho+xqHDX2Js/AGGR/7wgq2L1NbcgKIEGR27B7ujira2bxIKrUQQBOLxbRzu/Bp+3zza2r59zHL4RiCKMl5vB15vBzU1NzA5+RSFwiiRicdI1q4jvfUq/Gc3IEgC+cMxrIKBe0kF6lCaxAM9CHYJq2Aw/j87EWQBI5pHdCuU37gATIvoHw6h9iQQnDL5A1P87DMXMHnLfsQGBd+KGj50yonl9fvfxOlQ+OJXz+TDP72P1miMOcOrmY+I3nsxCccQS8dTTJTPxZscos8VpYHjA0ISvcMEmY5ZcLzMFl5M9MkHcUgz2ewaIG6V44nlOSP6KSSrQM41gZEY5ElXkGGzmjJ/htbYHArsxLKK5YvK6+vfsP1X7A6u/eiHuUTVuWlDH4sbQjSsH+OmPSNszGtMiSahzGY6knuxC25URwc2uQmbYxmJKQHFBVOCiqKvwUpuZmvVfBaNnkku2kK/nuBIyW7Gd59PIX8hAUcn64L9VCansXj4HOaJKk/aoizRTXJKAadpJy8ICBasbVTwmyZRMcU0QWRAKqaFKAgaC8IelISbcaufrfPm4LRMlFiEuGSCaTJeWU42PYDLXkFGH8WbMLBEEWe+Ds/UDhJBibQjBlRgaSeF3knenmSzedJHgxBsnuIsjM8WJjMxSumJNJAaBVNjf+kZzOr/E66h/VBzJqWZBKWHdtFcYSAIDiL5QcoctSwNnIFlmczN+dgM5FIHcfnn4kRCVAVQJFzZGCWOWeTscbLpSnTVRVZ2U1kYx6ULWHlQbQpOMU9GApsukXGIOAsW1Y4RXLksWacLN2lEdy12eyViVsTtTTIeqHq+75IL0ZbDrppQMu0NP7avhVey6D1LcWr0L0/Fv8rY9qJp0zcrcOwR4F8FQfBalvWXlNrvBHLAmtfS0NEavSUUrXpvGZZlQTxKLixjCQK1NTfQPbqWZHIPHTP+C6ezlr17/wlRcrJwwV34/fOOW9/nm82SJQ+/ZNsez/Rjr2XZy8yOH2BZJtlsH7n8AGohgtc7C6+36GfQ2PjxF7URCCxkyeLXEsz8tyGKMmVlRfdJl7uZXfEbSDq3UtLZgbO9hOzeSVINm8nPAnGOgpm00PpzCKMelMkwmcBe4jOewTu6GOv7Fphg5XVMKUfavxun1Uzs3i70SI7AJcUL8LWIvNz+KPEHe7AMC6XchXNWGPeCchAEtNEMlm4i2iX0qXwxithrw1bvQy51vmYxWeq186t/uoQb/7SReS0NzHe5+N5df6Sy4MaXK8WtlyFraSZ9efLi8ZdtfrxYJFyyTjwQY3RblIBl0WvLEcyDYpyOJQ0QVw5RcDupX7KArw9XUataVHx9AY/8ej3PbXZRVpjCRKC+ofE17d+J4LLJfGxVcYpD8zi5ev8Uq1p08ovKIT6d1g4/fQe286XtOsNZgdV1Nhw7trHGUUXG5UJTZ3PVaBf1R/aSaGhiwfDZxCIdLLVPEsiXMVx5gD+W30dWiXDRmiqcgodU+AKWD12J5V5LWlCpzpZSkATspkRYfwdSvospe4a6pEpaLE7bqOi0TBXISw4eq0ojyeXUHdrNmGkiYqFraZLBUjh8BEoWY9e7GKusxLA0bFqAYd8YpRM2oiEPGGC+ZRk9T3KSNxczmSNdW071/FEyYheuqXb8Sph0dPjEGjjqn/cf/kV8be06vJFNzC1ZjeDUKB0fpNLrRQcO5vdRYq+izFmHZiQJ6CJIlYxl9jIrMI8KVxNDahpL1jHTKSbLwG/L0YfJYU8LOcmJ28hgL4iYRgAAUU6SUjL4DYWMHdx5k4CgUDkZoae2AQ9pbPZSBEHAnvSihRNk/N5jXVfcIAhgVykGyr2FvJLQm/WC15UUpzofBe4BIkAZcDnFQIf3vVkdBH4OfBK4RxCE/6Bojfsq8F8vTLkiCEI3sMayrPcfff99QAc2U5zibQc+C/TwFpdsEwSBfQsvRR+4G4CqpkUo/mK6krKycwFYtuwZBEFCFF//7LogiLjdTbjdb7kh82UJBZdht1eSrH+O5FNnYG8KkDrSycjSX8CAxbFxhffo31H3DoejhinngzhS9bii7UwtuJ94yTpM8ngi81B2fQpEXjXoBMDSDPJdcdThNOnhHvSeAo6ScpQqN7mRCJk/D5J41osuJFH1cTRnFM0RRXdE0R0x5IEQzuda8bnmEV49/7jAGsu0EMRXFn8lHjs33bDq+WOyt4p7zC9TZzmpP/B12lLtwB7GlOPzlVuJoqVJEbycEIU0itbCqDWAX00TnBKwLIl4aAxL9DCXQ5zX8kGiO/sJXtGKbJc5893zeHjHPZQVICs5mdb0YqFnWRax+CZ83lknHDT0cihhJ+7FFVRsGUV4KIalGhg7osy9fjm/XSzzz3/YybaBFKZ/Ou+QHXzkrBYeUQx++JDA9fFH0bseA/c1nGlVImg17As/xO7KZ8gjsGJXmFKbm3wuhSiuI9h6kNigj7yg0ZRqoCCY2EwRu9pEgf1MOVNkxzIkxGKWKVXQaUnlSItgirA58Bxjq+Ms3FFH66RGlikkez1SZAvmdBMt38NoZS2W4UIiT2/wCO2H/UTKy8kYeSzj78vCfJKTvFGImQL2GTEC8yKM8BNEzUHpE18hG9t9Yg3Ei4FKc9btR4/IiLLJT371VbxnasRpwaZ1kDGy9AoirdkBKt2N7C7sZU+wgNfRSiy7FcMyafTMQsr24bPn6XKV0+U+wkJgQPOyzzsDALeeQdR8GGLxWaHJ/UTzbkr1EHlFxZMXSWdnUHVU6LlJ43AW7ZIOs5xcRYL2wkFMUUY0dWzuoquH3V72lqZWgVcQepZl7f/La0EQvg3cYlnWX1eieFQQhG8C/0yxesUbjmVZMUEQVgM/pphKJQ78N0Wx90JkjrcqbqMYiPEhwAEMAH8C/t2yrMyb0dfXwrQlLrYPCiBKyDYblZWXH/e9JL16VOnbCUGQqKy8jL7CT8nu7id6q0ys/EkQ4JTla7HbyzFNDdPMk8sNksl04/G04na3sH3HNYzN+R2S4EAnQUXFZWiZOJPm0xhyGmdDDdFbDuCcFcZ7as1x2zVVg/zhKXJ7J8kfmqIgjROddh/J2g1QZ+F2T8cwsuTDgy/bd1n0YXeUk8wfIl73FKPAkcNh/JtWUKG8EyFmRx1K4ZxRQvCK1uPS2LwSn169mgdv3s2KwC62l6bpSIYQTSiIJugFOJpmQMhLjEtxXKITTqCcVrJnPx6lis3iFhAEdKGVuCtCWfIwhMuZEzBJrJlALnXimlf0q3F6fVhHy/JlJRf1044fNKhqlIOHPsfk5FP4fHOYN/dmZPkEhefL4FtdR6E3ga3Kg6M9ROLhXiI/341S6uJ/MhKG4cK7ug51MEX2kT7O8Nt5x0VLkaafwcZ7/4ChF+ja5WfQ6KWqd5DmrqJV17DbeP+yKZg4xH3B83A13Eq87xIA5vtaiOQ0FE3AsnRM3UZe0IiOdVMQiqY3FZ0qdBJCUWCXxWdw3oGL2BX4OUxCzDaJT2jgT2ctAZ6BqqKVMpSsZdqi7xMfTBGxFxOpDoiThPWTQu8kb0+kbAGhXMNSbZT2X8hkyz043SJTyfSJNRDvJzVu5x3PPMXWjpkUWsqY9dhzDB0Wubj1MHnzvUQLo3TafSzreoyQVMFgg44pBDH8FTiUD5HRdcqd9ZQ7i1a1hHc5GXuxXkIhJ5M5OigtiHZ+ZatDkIszI0q6i3h5BQ69krRTpjGZI5NppV7fz1Y9h11VcYWK67qdLcTETlZln0Es6GQVAcVdDDq0uxvewCP6t3GiMvMvQuulWENR6L1pWJZ1AHjFeELLshr+6v0dvMWWu1ciNj4GgGg7cb+qtzuVFZfT1/cTkvPXIm32kjhtDaXhM3E4ig9oSZKQJAeKEsDne97gPGvmj9m67VLstjLa22/G651BMrWPya1PkGnaidvVwMjUnTg3NuPsuBo55MBIqaTXD5Pc1E/Kv51U7SbyK4+gi3FEwUZdzfuQZR/xxDZk2Ut11TuRJCeGkUdWfDgd1dgdVTjslcesV6apk04fJD61lYn+Z5h03M+U+Sh2dx1ygxdXTwfaz87Du6Ie0a1gq/Ecq3byUpRVenmo6gqejA6g146g9wSRLQFNsMhEx3GXH40MNxw86NzBArGRxtgojopXdvwd3XMYN41MCDkE00LRSxF8e2iwxrnAeJCE8hNSQ1lKrp+BID0vQkSlGPCiKzL9A98iHD6D0vBqUqn97Nr9fnQ9QU319QyP3MHOne/G420nmdiFzz+X2pobjnMrOBEkr42KTy849t7e5Cf5eD9GSkXy2wmuqDpmNc13xUg+0U/ivh6kgJ2lZ1yKa2E5q02Lbz58gN9sqKBGyvDPsyTeEfsJyvgOmHcdZ57ybp569o8IRtFiHEjtol9oJWCITJhDOHEDJqn8yDGHlYKgUZCzFKziOvPGVyMgICl1FORD9AfG6TjQRcNUnqEWg2ndGoP+U1BqppAaB1iYlrilWaG9YDEgTVJinEyXfJK3J7aCiujSEPIelGTxPm7aM1ipv0plZVnFeU7gmWiSnw9OcNvsJuRYP5HeIFNeH/9+/ceoHR0n2dIPAvjXCpScWkO0sJ7RlipKn9hNTjxIYtZ5ABhyP3bNS290nOqAj32x9WSNJELdPLxKcdDmyE4c68K4vYxupRSOeg8WqhOUO0dRjPmkXDbK0xkohLhy859ZUL8Gq1LB6XTy3B+7GNp/KqUrH6Il1Y0w6mb3tBkorqKYtftPMLr4TeREhd4UxTqzT7zEd5ce/f4kr4HEUaEnu1+f1ePthMtVT1XlVYxwF9mF3RhKmpqa6191PYejkuXLnkUUbcdSv3g9HThoIO5fhzlqMDHjD4iaC9fjNYRmzyN650Hipc8QPeU+dCmO3V5BaegsPJ7plIbPxul8cbToqyGKMj7fLHy+WdQ1vI90upPBwd+Ryw+hqhOMt9/CVPZxlCNBNGcU19Y2KgrvouzcJccSZL8QQRCoe9cMHP8ToiI0Sr/cTrkpURB14oODx4SeJjixhBhZQWXySC81ryL0MoNTuGlENbPYNQ8pOYdijJJyBcjbTifVW4t7cQXOjuPT/Si24u2irn2EkZFnGBm5g+rqdzE2dj+y7GXhwnvxetoIhU5h775PkskeweebxdjY/YyM3EkgsISamusJl6xCFB1MTDxG/8CvcTprKS87j5KSM17RVUHy2Ahe9tL75mgJYm8OUOiMkXhygNg9XRjJAr4z6/nihR3MqQ2yvLmEMq8DsqfDmu/C0o8SDIbIpbwImgEIWHkHBUHFVzrKnUYjF8ccQJa4lQMBFBUKiobT9BIRirc9nzCOLNkJFZr5w9mPI+eC2KNROg70M1BqUtUTpH/xIvTQ7wAIekx6JYUl+3KMlseYZZ68B5zk7YlS0JDcKpJaQj5XNGoYthTj+vP+xIktN2F75hs4P74Z3GHuGptiTSxFb65A42QvsQk7W1rrOOO5B6gf7iHrcOMqZMhUtRMWRKKFEQqhZhTDYGjeUnRFQdKd5FxZUulR4jER2877GK8ErAw5I0G5VLS2ORIaYXWCSVspWdlFyMzgkwtEBY28PcnZow8wLF2OqsiUBIZoWP17OKRQowyRKPgY2anRu3kQKKE0KePMFgjHTO5vuYJ654PFgXTJzLfgyB/PiQq97wA/FgShAXiA5330LqZYouzFHv0neUUyU8WRhMMfepUl/28xffo3MMwc4/wZl2saweCyE1pPko63jAqCQGXlJfTyA/L+Xvy+hWQSXRxxf4XJdctJLt2Eah/B719IY8PHCYWWH0vd8Ubh8bTS3v7vQNF/bTL6NH29P8UyTBzMIOZcT9LaQOqJD9B2/Y3HUsQctx+ySM2SZZQUnmCvFyotmYKgkRqJFBcwDXSxOIWbE1QSfSPULH/lfhlxDRUdTVFwahXEgiPUFKao1KNMCV9FLnPhf4mSdi6XHclu0Dqzl1DwFGy2UoaHb8Plambe3JtwOCqxDItw+ExOW7kdQbAhijKaFmdk9I8MDf2effs+jiDI2O2V5PODOJ0NZLO9jI8/gM87mxkzvkc228vI6N3oegpRtFFVdRVlpeeh60nGxh+gtPQsHPaK4/qWTO5BUUpwtFZR1hpk6g+HSD47iGteGXKJ8/g0L64QnPedY29zCRuWVgAcjJiNOFwTVCx4ijMGcohrFmI3VeJiFtESkAoWqqLjMz3k5XGwwFGaRJ5QKckcvaFnG1DlKJoE4WGRjKseQZDwenoAGHYHaZ1wkDen0AUXMenk1O1J3p7YNQ3JqWLPhkgXnADoShLDCjORnaDUVUpiw0+py00ytea/CZ73TTbGi55VBzN5yg71s6+8EsPM48pn2N86D8UqYfrhJ5gsX0KdZRJRJyiLxwHY1FD0i3OnmkgG9yN6bGTUMKZSiqg4MdWDIFnYbQUsC0grzMoc5HCoipTupVxIM9c9xoGqLsZkF105J5ajKJNczs04XX0kq5pRvJOoWgmjm1O0La/kyM4I2mQlcnCQrNNBzunH7h3FlTMQWt7a1Cpw4rVufyoIwjDweYpTuDLFQIddwGWWZd33ZnXw7YqWTmEBnvAJBZn/n0EUZWa0fx+Xs5FgcMnrSoVS2XAZvaM/QFZ8zJr9EzLJbnbufjeTLffg9y2gte7zlJWe+7+SbkUQBErDqykNP5+/L58fYd/2Gxmp/SWeNY3Urr7iJdedOWclGzffTVe5zMoxiQI6+clipK2ZiqBJxWmQnKCSj6iv2hepYGdIHscSBRTVj7NmPeKYway2q8nuhdDVTS/pR1gSDlBaGkWxaTS3fB63q5USzsRfOh+7vYz0xhESD/ciOGTsTX7s0/zYqr3kO1M49i+kY/pq9DmDxCY3khjbQzj9DkIDZ+JZVU3CsZ7Orq+zaXMxCttur8DprCOXG2Dfvk8QDCwllT6Arifp7/8Fc+f+Do+7eAONTj3Hrl03HFuvpOQ0SlacjnXYRvyBHkI3tJHJHMbjacPMGKh9SbSJLK7ZpWiuKQzNg6CpgIOsICLJxWO4vHYjPaEmZMPFhKjjs5zkzByqoGNhUbBUBFMhHhlDzTlwOlw48iESqbmYwjNknDKz+nRGq4pTViXO4lSO5pRZbVzG2rJnqaSGAi8W+Cf5ByI9AROHoGHFsenHkxSxqxqyS8OWCBHLl2AHcvI4FdYM9kW6SA/u4aL4YaKKH9+O3zCw6COMqUXf185kgoYei6jXRcbtRZt9HRfHRNZO7KbXVc/p9goO6IfRbDYaxopRvP3eAjUZAWdSQPa50e0JNKWRTR3VBHN1jLm9OBUDnzFEwZCwqTLNhT1c23EaH9rkpklKsL+sip0N5xMc/TzPektY6Chen36haJwpNEpIXlDHwthcEqdf1waWRTQ+E6VhkOx0L02RCLbp47iyxlueQw9eQ8Jky7LuB+4/Wju2FJh4q0uJ/SNjqMVUDS7Pyaz4f40oyjQ1fep1t+N0VjOj/Xt4PNOx28LYw2GWLPkzkuT5m6Zm32gcjirmLvkVm5+6hG7hK8g9NsobzyM6to7ePT+nquxKauZfScgdxqUVSITtCCMSBaGAdnTUO9HXXQzOAHKoGIlXvyQV08cwEbAgacqE7BPEJB+a0czYnN8xNDVC7tlB7PZyPJ52DCNDPj/E3JmDCKJO/9BiThkqY2rLIfQDHqJ0IgX6MeKFYs1kl0LhSJzc7uf9X+RyF+mnhpG2O3GmVuA0T0Hy29G0DLHfd1H+yXMJLl7G4NBNeD3tlJaeiyjKmKbO4OBv6ev/GQH/QioqL6Wz8+ts3/5O5sz+JT7fbDo7v47TUUdt3fuIx7cwPv4QI8adSKe5cUw0oz47iMYUpY4LCD58JegW6bIdxOKPkvN30TJHJhUMkxo/jawqYxeL/juCYFG1+Ckmt78DFPCYdgqmhiVo6JjkrTyiJSMLAlEjQQBo63of6+QwGWkLpiLjSOtk3NVYRgzRX7Q2eF1xpmdbuc/zGJUFME+Kg38Mep6BZ74Fl/4CSqZhTfWiPnAj9v5nwTLg7G/B8hOY3CqkofNRkB0QqIPKo4nmB7fCtt/CGV8Af80rt/EPgt0qINkMZNVPuuDGrkFBjBAWVvGNPds588h2VEHmswu+zy83fZiJJ78HFe/DLYlMRnrZYVYhWSKNtvN4zxGQsNhv1XLYbdLvSrNXHgHvNDymyXBlCV49iKx7OeTxcbZZzlblCEEpi8ucQcGVpdlTxbAwhOqPgaHgUEUERadzcBJLKMErqfQfDXLLes8jm91A3p8EfNR7F6BFejFaclgu0At+PEE7oijQsrCcoXsaQAR1rg/nmIbsjuLWy8D96hkf3mxeU8yvUDR9VAO1QBp4y6NX/2E56sjtdDnf4o68vamsvOy49681IODNRpY9zJ3/G7ZvuZoD/Z/mUP/nMMmDLNIZ3Yurs5FA4zyCagI5UHyeFNAwssVRb/RwL9mj0aA5QcXMv0q9XsvCLgaJiEPImpcxdw5f3kU4kONwyb+hO+KEbKfilxdS0MdJxfej2P24Ha3kD7Xyu1SAhrFFRA/sB0nAd24DAIWuGN7TanAvrUQQBCzLQp/IoQ6msNV5UUpd5A5PkXp6EEdbCO+KauSwE208Q+THu4jefpDSD86iedq/HtddUZSpr/8Q9fUfOvaZzzuLnbvew85d7yYcXk0228Ps2b+kNLya2prrMc0CU1MbiEQeI6qvxT7ehM+/mAkewpwDZk2MWG4DilpOuPMKpvwH8TXtJ6yO0R+pw3m0Asbo6HwqK3fgC/ZDoRSXITFlyYCGikaeAoKpsMC5ituyjxEAlkiD5MuGqC9XyMU9EMuT9FZjMYrs1JDzAXDE8UomXqC+fhdm16nFCgDiyaCMv1ti/XD3eyEXgz++B66/l9TvLofkKJkFHyWU6YUnvgSlbdBy5vHrqhmIHISK2cX1b7sCxvY8//3c66D9Irj7faBloOdpuOZ2qF7APzK6quKwFyWCXPARs3IEVAe6FMUvhcjG7uTSzCYOVJzGtJYV3N17FpcfvpXfxgbZ2/4uCpt2EnW6cPsWstxXT8x7gFztRhbuuwabrYojUie2bJamA3vpmTWXrQsX4NN82ApBrMIkrabEdksg7xrBk2qG9vtpbNrK6JaLKQRUHIYDuyqBK0/vVAYowWtlydgDABTcyxCMDRhV/UANc5uuZ/f+3biriqlhzFyQQLD4/K5uC6LHiz7NeqsPRyKBIJq4ln/p78LKe8JCTxCEj1GsFVtBManZImCHIAj3AGsty/rBm9LDtymCxw+pGK6TQu//PO7SepYsfJSBP99JwrYBR6aJ6qWXsifyHvZ1fRJlfwlV/j6u4xYMczqGYKLlimIkOzpJViieQ6qgg/rK55OZGEOWvMQVHUcmgK2yEwoWzQs2Ymku6vd+CftYMQ2BFwgDglNGDthxjKXZbk0wt/wIvjkLcEwPYas+apFeVXvcdgRBQClzoZQ973TtnB7COf14n1Sl3E3w8ham7jjM+A924D2tBte88uOiff8ap7OWhQvuYvfuDxCJPExJyWmES54PyhdFO+Hw6YTDp2NNN5m6q5Ps2gjG4gLRkocQC05aW75Mdfm1ZHdN4vP3c2T4XdiPWkblo8J5jzGTSnZgk9JAKS5dRLBsQHH6Ni/oiIYd56oWkg/thOqdtC27mfaj7SSjCzH6EuQdpdhcWwFwTHaQrlmP6hpnnsegrn4v6Vg9aFmwnwzK+LtEy8Fd14NpwrnfgUf/DX6yGHc2xnXa51jlv5wPn1sBvzkH/ngDLHwftF0I6XHo3wC7bodCAhx+kJ1QSMKVN5Pw1dG17S4W7P4Fwq7fF0Xief8BD3wCfncBfHgtlLZC71p49jtw7V2vmjrp7wk1l8XuLAo9UfUx6T9MuekCexJREFneH6PUjNEXuIYr10/xvuC12A/kWC1u5vw1T3P3oVlo8kwWlpyGZEFX6VOEanbQMnAO9pTMWqGAIzZGzegYAXUHm5YvQwAUzcvKIw+RCp1Cg1FGr3Mcd7oRf/lhBFsWnz+CW9axFxQcBlg2lYRetOIFtAQFRzPBzAgxVwUT5e9gg7MEydKpC9awaWoavrptABi5AJ6qom+4JIn4g2lMzYajRMLlK7rWuN1vbUWMv3BCziGCIPwr8F/AryimOXnhXfhZipUqTvIaMM//BMBJoXcSAOzlfqa9+/20Vn+d1gs/TXDeLDrafohmn6TgGcbMuzmNpxHtxeIwxlFXPD1WICs8n0DZNF85/2L8wH4yYgFLAAyFqsqdeMLjWJJKzY7P4My04L+oiZL3dBD+4CxKrm/H0RJAi2SpOKOSdY5P84GFHnxn1D0v8l4nrrlllFzXjiCLxO7uYuIXu9Gn8limhTaeIbN9nMTjfeiTuWPr2GwlzJ9/G9OaPkNb27df1s9SkERC75xO+LoZzDn3R7S2foUlix+itvYGRJuCZ3Elwdpi4IkiFsWz46hhbUIpCi+JHOeqcynJCTicWcCigE5B0AiV9ZJtHsFZlaNl6a/Ix2s4/MyNAOhBN1lXBQgiNm8xD6NfXAqA5orQ6D2aBFzWilafk/z9kZmEm98Bo7sxzv0VidT5mAv+GSsd5ev6DWw0O1jbNQE2N1x7BzStgk0/hd+eXRSHW39VtPBd+ktoPa84VfueB6HjEn6sVnBh4GpumP8j+ma8C97zUHH99z1ezJH54Kchn4B7PwL962Hgr2pZ6yoMbnkrjsoJUchmsDmK5/WglkezJdE0B4azeL+a1tvBr4ZPQZusxXkgxnvWH2T6E918SX0fm0/7TzT7fFbUXMMkWR4wejC8xSj3bPAQU0oKwQI5ncCpqtQNDFCTFrEskDUv/eEUPROdVGkeLNEg7xilxDsJQCg4jEcycSBS5vVgKjpTpg0ZA1chScHuJpjqw57dQtLfTl6S+af07ciiQCH9vL+dmQvhCTyfHiswXaOQrMZuy+ILJQBwud74CkJ/Cydq0fsn4MuWZX1XeHFo4mGO1Sk4yYmSKWh4KNb5PMlJAESbhG913bH34foVLCt9HJutlPt/eTmetiNUtGynZ3AextHca0JWIOsoFEs0iCa6+Ffn0/B2KG0HW9GyNnGoj6RQtKqNiiZLneP4gklckzNxqHWUfWo2csnxgw9nRxhLN4tRwbMehpLmN3zfnTPDODpKyO2eIHZvN+M/2A6ApT7vc5jZMkbpB2aBAJnt48ghJ9XTbkDrzBDv7cFW78PZUYIgi1iagaAcPUaicKwySq3r3S/atttezMWnHPXNsx8d/k4oxeOki3lqzBIO2/bQfu4tHDywEnV0LrI3SsvcB4mNPsA7VkAyFWZ83T9jFbyoBTeC1yIeKB4rmzcClkB5/VkMF/6blGsMp7/4ELRk/aTQ+1/E0jQymzZhdSxk77PDLL6oEVl5iWnzkZ1w1w2QHse64mZiW6vJHx5gyr6K1GNrOTyzknOnZ+ges/Hl+/dw0cpGZpz7Y+wrJkjc8gtC112NUN7+vBVuzvP2EMOyuHdonPOGO0mUN7LM3cEm0Us9gK8Szvoa/PlT8Ntzi/VeBako9FrOer5/G/4Hnv4GfGLHW15L9aVQczlEVwEL2GNOIahh9LwXM5jAwiJX5iHeJ2Hv7gN7NQtyxYHVjH27GW1vpc7bQUHPsVYcJOcZodFVvEaiJXvpjThx5RVygbkMlXbSOgKnpmr4oymCkaahuh/7ii4054Ow/jooPYhd1jFNgXBZH5IABhZLGk7lkam7mETCKxSQ1DyqzYNoFfDG7qZpZJTP1DxIOF+8LwtmHYbmQFLyGAUf7sDz91tfuUXicA258B4EuxvMktedNP6N4kSFXgWw/WW+MylWnjjJayCTzeEBZPv/rQoYJ3ltuFwNAKSSFl0sYEHdNgbHWzEoihBBt5MVUsiaB92WRJdsxSkmUQQtR+d/fYeKpa34rvwWANnRFKmjU73DDgm7oGG35wjuPwv/eY0vEnl/4Vjql4o3LyeUIAi45pZhq/ORfLIf0SGjVHuw1RQflBO/2UfkJ7uwNPPF1bZFATaMIDhlsIo1jyVfsfaw7+x6lNKXrwOsSAqmJiIdrXThEIsNR2xFcWiKRQuEqkxhEyzc7hg5QcXuLo7a14xegVaIktrXSnvBy5iQJpTz4XLFONh0GbKl4QwkUHJhnM4oQi7MZt8ROrwTxakR6aRF73+T2B//yNjXv8HBS/+bsZiNquYADbNf4DBvaPDMt2H9D8FTRuTs37Dr9sPMMEsQ2j1IeyIEVnyOrxgpxIgDt+yAjQke2HIba7sfZHXjqQQmZ7Dnto3cF7uLRoeTtuZGzrz6Xci2ogVofSxN83OPMnPPegDmuDw8+P/ZO+t4uc46/7+fo+N23SXunjSppAptKbSFFncWWRb5Ibu47rIL7C6LLQ7FqUBLqbskTZM0adzt3ly3cT/y/P44twZtCUvTtHDfr9e85t45M3Oe88zMOZ/nq7fW0dHaytlv/gdCS94M238DfRthzfs9F/DxjU+M0XXh0Z97fx/f+IIUepViARnwfjsFW8PJd1Ep1aA3HGG42se8YoRPNi/mct2LbUtEZ1JQNJrHJ+i79zbmNFxGT/ghrFwckPgDnju0FD9AQSykqWiwqzWHrwodmkQ3/cTzOrXzrie2IEmlFMAwKkRiSfzBIQCOjbcwrb4fgF25Rv4z38DL6CItdWKiBFaFqhZCNyRqXtI51o9vehpfaTkA/rBJcaKLcOM+7EqYUOyJ63fX7LUc2pzClevw1+xDlae2v+2TOdG8/sPA2mfYdhaw97kZzt8P5ZLXN3PKojfFiWBbOo+yDEV1qW84hqt4SRdCBrGFi2YHveepKrLknRArY8P4tfdzZEMMHM9a5eYgI4oIV8WNVPCZRfRCA8HkAoIrGp923883WsJH4tWziL1iGsFlDegNQfSGIPXvXojRFiZ8XjtNnz6Nhg8vI3b5dOrevZCWL66h9u3z8c+tIbCkjsgFHRjdUcqH0oz/cBd2svyM+5NSIh0FVZ3sGTwZYzfhi+PYGu7k45bwxJjfnyOd2Y/f77nR7zx2Or85eDnFbAbH6uWYPMJwNY7mT6IpQVTG8MWqGMUmuO3DlEv1zK3ZjxCeoJSq5cXoTfG8kLnxRoYaVzOcMgDJ4KH0U59w77/C+q/BotfBezeydcNBuqpzSVWGuebWz3Jf/885WjlM2k5SyPXyyPjtjJb7ubA6DSPaTdhZjFY7k9BghLqRXsb6e9hzy+/47Xf+F+lKyodS9N+0hxV7ttDR3M7pb34nx1pnUAmEOProI/z60x9lfKAPLv8enPkROOdT0L7as87bk2Eaxx6AdK/3d/8L031bKRUhaOFUTUzHR8KVqIU6VNVml2+IetnAh4/uxKf4GCweQdH9qA0L8FUkalknN+tOxKpfIwJjGEYJRbUZLPkw9Qohf5Z4NURrrp34WY1MfMxiOHYMoQdJzNiKtltn8yOXU6n4qW/aSyQyRtnSGRh8wvm4PTmdfdUwvXI5OWkSFhWKk4s8wwDbDtKAdy4I+LwqDaGYj+zxleRSzUjbRzD+hNCrq1+OxmQYSDCJrrxwhN6JWvS+DnxHCFEFfjv5WL0Q4h3Ah4F3noSx/U1TLnkXHt2YsuhN8edR1BACQcUyMY0izmSTbHuyULRmeVYvS3Ep9B0lNLuG8sQEQghC6nwyW24guupKVCtAWsuhOn7aW/ZgmGXiR6/A15142oLNLyS0Gj9171r4+P9qUH9KsodvZhzfzPhTXmMNFxj9/k7GfrSL2rfPR6/1Uz6YIvX7w2gxE7M7Smn3BG63gjJp0dOEjXShoAWQVQNLKbMvvZGJ8HGCgM+fI1XowefPYZfD/LSlk19mUvh69xPRx9GVBBOVBGr0GABlmUGPVvGN1+BIQa4Yp7ZW4roKIBGqhazkOPW5eX/bOI7Lgdv30JNuoX/OhdQH7yJ27k0M7fkyMBmOcHwjPPRNWPoWeMU3KaRTsL+MPxbi8Dybru0pjtb5eNg5yqOnn8EVDz9IfOQgY6XjXNj6Dl6ReBXStTmY2cLM6HKafWezYdZMVu/uo+6IpO+L61DKgrOAkbrLUB74No21F/Bx+VJ2zA6z9g0Bbv/617j+U5/FNixC8QRr6w7Q0bYKHv42DO2AtpWeNc8fh4b5L9g4vWqxiAxaWJafgNQxRApRiQIwGprAtRcyba93HjuY3UKd3oCy4EKcR75NQ6CNfMPNAITC41iO97wjw500d+2nIZIhpzbTVtLoaBoCAanZG4n2V1B8Ftl9XdCgkEo2UddwmGrVTyZdh8w2UK4G8RkFDqU9UXan7MAVChFR5oFFWQAqEhQCJDRvgRyKeqItmgjS88gZDI+3EoSnWPQAQqHZj/9t6J0nZ2L/D5zQmV1K+SPgU8DHgD2TD98KfAP4vJTy1ydneH+7VMveymzKdTvFiRCKtRMhS94JoxslbEVBZodw1MlsscatmFqJkqgyesQTGIVxL3jZr4XYf+N6AAwZJStKCEdncc0WpK0THTyD4IqGU3NgJxm9MUjd2+fjFm1Gvv4oyd8eZPynexCqwMlbZO8+jrRdpKMgJtsiqYqNa6sgBI6rIzTYmXoAR/WSQfz+HPlQCL8/h1WoJXQgw6uiMVbHzuD85jdyQewMkuUYullCqBV2JSIomiRYAVs2M1r0iqSnMp24joFULexC7pTN0d8LR7eNcd9NYxzruoRgjQ9x2kPc6LuYdPkgVsXx3Oc3vAdibVTO+yIAu++9i2mhRdCo4fvRf1Kft2n8h0/xyY9/htr2mXztijdz08s/Q9uwibX/ZlQU+vtuY6Q9R6o0xEvUBXz+sMkitRWfnmAweZj1hXvZPHoL9b52Eud/GSdXS8Znc/quLPZVw5wffT0XN/8DS2e+HNuy2PPtmzlylULFinlxeoUJ2H8zLHwtdJ7plW4pZ07t5D4NlWIRN2hRrpqYro6i9tPveAszzchTUF3KXV4B+fFShsHcPsxgJ+m6ZmrbHBzDKzAeCiXJBTwBJoYXUS4HEJERSjKCs/BXKJqF3Xs68cY91M6/kYFMC4eUOQT1FNszM9EUh4AvTzFXj4JGT8kTeCPFZjp8g2QUz51eh8towvs7lakSNEJEDO+cEEh4lsBIYnL8VhhUF8P/VFtZorEBq+gtNgP+F0YiBpyARW+yQHIT8F3ge8BqvKoLSeBhKeUL7xv2IqA75rne9CmhN8UJ0DptGWF3IxknSo2ew1FgdP0NWGotmlama8WN6D2LKB3rJNc/AUBxIoMPL+aukukie/c3MNRZFBULU8/TbAwR7D8DRfrw/VHZk78ljLYwjR9eSuqGwxS3jGDOiFHzhjkoPg0nX0Xxabg3CjSlyjy7Db/YQ8VWwARLajzWflfRvIB9Xa9Qiun4fDnskU4GFUntgQx10eX05PfQbTTwSNmbz1BoHyLqXaQK6UFseSYDZZW5QH9qOmH/CKhVrGyOP1MBcYq/krHeLEI6XGj/juR5Md4kP0dK1FDbeC97DkywIP1L1NQxPh37Mtf8+wa+fPl8jAf20eI/l/7N1xPPprlx5TJabtvBTdcnmVcvKMwq87JiPT3dVxDZ/d/U9G3mZ5e9ArduLb9uGudL6x5FzIxTvfpb3L9wMY92tLH8wHaihTz/HVnC6/xx1E0/RqQPkPHX42tYxOHOaSSNLs5MttI95x+pHvMWAZsmXsfqQ/eh9z7spd0vfbNXwgUJ/Vtg+nnPPgHPM8V8ARmyqVb9qFJh3B2jz42xAtD1MmMiS0vjfCqOg1522KVupb12BV2dlyI77kJYBhXbRyiUwrEVpBSIqo90pp5YTS92w35qW3fhjDQw89Cb2NGwm7Avw+2HXsGRyBxidpIDxzs4reNhYv4MuVw9AHeVX8Z9nIHlGrx18+3817w3UFBNmtQKUvGSJ5Zs62PizBjBQj/SUQnUeuIwkvBCZDQrhBL40+L0Nc1BRg+2ogdSBAIvnLjJE7HoKUAPcIaUMielvFNK+Wsp5e1TIu//zpWLPQvKlNCb4kSYPmcZwWqFJHEMo4wlXEY2HKUoqvgnV7t+X54SFtWktxIuZ7z7glukOTCbDdeVsDQFKSDRvguBpL7nEoyuKIrvL6qd/qJDjZjUvHku9R9YQu1b5z1+vGrI8LJ0HRVUi9X2TIRSxbW9U2NVGiiaF7ej6E84V41EEdMs4eTr+GVUogJDxSNsGruZQxN38/qyF5qxqibIucajAGxNBbBlM3tzrYyXEuwYXYTraKBaWIWpGL2TTf+BIbZ2Vvnuy6/gm7tewhmPCC480MNIWOer9+9jYv3/sl5ZwEZ3LnObo/z8p7+mhenkZYHoo7fwqwsuIpjPUCkPoIYk7eEdnHNoE+mBqynbG7h1/qvYcfG53LXydO5pVdhTF+S37m04i2uIXXgB5217hMMzF3PBzoP0K9Nx4of5pvYF9q2aybgvwrVL5mLXp2m/9b+4u28DqSY/1WM57JGHKReGCZkLuP6BcXJ7Cgw4N2Lr3ZNFlQX0P3Kqp/dPyBZLKMEqVtWHi4KjQDHltSoz9ArjSpaAIsjbNm7NuRScDAeyW9BCcbKN2ymM1JHL1hEMpYgGximXg7jCZd94I0IK2s76Jn7dJjJ8Gr1ulV8euJxkuhZ3MMGoDDMmQ7TV7iQ92o5l66Sy3uLrkNrNxpEVCCGpNCdYnttFgCp+MYarekLv7Ru2sSK8EH/Awc7H0OLea4OTrlrVNdFC8k+OOdEcojg+A6sYIxhqfj6m+YT4s0JPSmkDvcAzp61N8RdjVadct1OcOLXNnYTLVZIiga6XqQgbpTCDPEUCPk/Qmb4cJVHFLngrzUrOczXur/TiU4PMj5/OoeIBhHBpaduFZQcwSw0E5p36Fj3PB0IIjOYQQv3T0550FS8pAi/L1nUUdFmlIp4k9LQnhF48PgiAlW/g3W9czD/48gyXjgOeq1xkvCIFVaOfllqFZCnGzdYZWLKJQ+UwH1v3efZl25GOhlAsKvkSU5xc7o9kuWVVM9YujZV7JfN96/jp8FtYPrGHy8bvo746znfmvpGvLe3gW4M2XzHnUe9vp3L4Pva1dxChnvzshYzHdFLqASYKacxqkZIvSLbZRWseYp8GZ+z/PVTuJzz2aW5YO8Bvb76afOeZqI7NR66/invPPxd3aQM10qJbPZd9eoqfXfI6fvDK13Pfuz/KjtppfPDRq9mYyBK7tIbSw1ehjO6gztdKstrOmHwv0lLJ3nscfBGon/uCjNPLFjIouoNV9VMFpKrhn/yeV1WbYWWy1tzgZlS1ERDsHLuX/bX3oOgVtucSZAsR/P4srYEChYrnnRADK9l5x2fYufNCju9spXbsAh5wJFtGllLZ3kIiGME5p4ElC75Juu43HB6fz08HPoAiJ7N2R12UdBW/bjPc2sIMfYgrzB1Y+ijupEUvWsjhO74fM5DFyUcRumdvD0SeqJtnhv/0PBJvCJA6eCFHb/s3fEHjT7afKk40+vorwKeEEHUnczB/T1iTMXq6MZV1O8WfR9E0wjmbtBpH06tYSomIMYu0myHgnxR6gSwlUYGS97O2siX2qwNovQ/Qq8O2Vh9Dqd34/Vl8Rhm16JU1MKfHTtVhvXCQqle4GHDVCo6rUMcoJcVE0Tzh/GSLXjzhCb1ioY5pw7cRrexHmayZFVAj5Cwvtiej7UKJpRjP1rFPTiOFSUkqmKpCEolrexa96pTQO6kUMhUON8OZhyeYMeCyb849nF/9PS6Ct41dzcXyp/TKRupTs4jffpyJwiC9eoF+LY1x8C6GmhpxIjkwBehlKv5R/Pk2tvsOEBUdKCLMgH+EPvMo09N+VhzbiC4CmBjsbD7E/ZuPc985a9m7cBFVTUPLBdgT3c3RyFHKhmROtZ8ZI338oT/Lf616E46q0viHX1LesQ6A2KUrEULh/I7XYbghnKik+OgI9kTJS87o3+KVXHkBUax4ISR6NUZBAVfViRUyWI6GppZIigIuLod9SfLRR0BrwEUimvZgWQbu+ELyBc+SVq+7ZCs+VFejITOXSLmWrSWDtr4L8bkhtuPiw2J2sZeJcD1VQ2e/tgqAjV1rub9zDWM1OfaoUZyhKkq2ihaAupER7JpGFAFCG0AqYXyVEoZtkxrVMIJp3Hz08WPyhw3kZF0nf/RPgy1UXSFWH0Q65p/E751KTlTovQQvTq9HCPGgEOI6IcS1T7pdcxLH+DeJPWnR031TFr0pToxgrkJGjQFgGzkUoZKXZQI+z3WrG2VstQCTbsdKyWa9vp/jTW18ubiL9/ePgu4n4Peeb+QbEUEdrW6qO4t0FVC9DDupVnEdlVpGKaq+x4Weqgmkq1AphQmFPOtAtlyH7+6P0xZyKeheELaphtiizcIuqWT041SDQ8hcAw4Kx5nch+NiA66jIlQLq1h9/g/674jh41nGlARnbgfX3UPIVZlXOMpnu9/PXt8sQmqKw2Nn8ZHDKsOlXn5kbucd53YTXv81jjQmGOvswPI7WKlGwqm5+Pp68RWaWDXyLoyhDqITS2geW8GcwbOpujHmpefxiv61XJK/hLAxjVT9EZKJGlZv2EDw8B72h25nf/wAIbeFu1rvYQKF5Uf2sTOVY87cTjYvuYDuXRtJXXsN1ozZXHTExMkP4ndj5ESaOw78GARk7+0jOxRn4D4F95Gfn+ppfgqy4v1G/JUEtgRUlZiVIVcNoWlFpHBJiQI7WnSKIYETaUH6DRI1A7ij83GkQiH/RBZ9sRJkrTWbkdAxJC6DisuGUJUyFj0K1Cl5mjIpckGvAsGgeTqOGmd/wlvQHqhZwoG2GoQDuJBrjDJj5zZE1QuzMPUjuGqIUNELo1DHQfMVkMUnhJ6iCNzJpK1gzdNfuxPNXhyf4XuaItyniBOVnLV4HTCe/P8UfwVWpYJQFBT1haP6p3hh489ZZFTvxOcanlgrKy6+YBrLVdEVB9Ofx5FePbxKVYIJ4zUBLt7/MCsTo5QDQSL+QVwpMLJ1+GfEnrF92N8TQqoI7TGhZ+FYKnWMUVQDKJrXGk3RJY6jUykkMP05rKqPgmtAtUDbgtOZyKRpCcwg5O/iXmkyp7AOtbEAikOsOBsL+G+8i0RnoMrBooHraOhKCatsn6pD/7tgw+Ehpg8IVFdgV/Zzht5HURrc4zubTW1n8oEjvyUkluDi8InT64j3T+MHX/k02VKJrWe+FNUOUNOzCEXqtM8tcXCDjaLsQVOXkXXX0zxjCeoRL8uyuagwrI1Qq+fJT4zTRRe2KdkS2c3RVQNsbUugqkXa0k1Eemvodk8noxbptl1mFgfR5i7if2svY/n2e1AGhzh40TmMFGy2OP1M6MNYUmNMtTmQeZSZWxdTvG89bsZP4prP45/zUq+zxgsB6Z2jQpVaLCEQqoaKS6nqQxje93231kd5snJAsUanKdSApu2gYegsYtkYVbVI2laIaS4yX0NtMMHe0LVsVixGU2txRZptjJESIbpFDqNkkfd7C9eSMQcZuRQpFKLlPAORBQjpoIZcnLykVB9mLBIlcPwQqztauFuXCBElmveSX04f9sIvRDn2lMNy9AqqYxKtCT7tYXcvrsOquChPEyJyqjjR8irn/LnbyR7o3xp2tYxumlMX2SlOGLcoqIjJVaSRJ1Mdx9JcfIEMh5NeHTCfP4c1mSbqON7P29FcZo6NcsWD15ALmQSCaZJOHKWoYk6LnYpDeeEhFcSkoJOqhSNV4tU8RfEkoaeB66pUip47qVyM4ao5OPMjtLa2MqxonNHwSixfnENuI3ZBwwh7F7SGXCsAfZO1+tqtHm9ftoqiWjgV5/k82r871mVyLDqaoSyGuPpVF3DR+DoeVJbx7Z0qFTPORllHg9mEHXf5p833sbpvH4dnz+Tu884FDJxKDYeaC2wyLb40pnFV26v532g3vwyV+U10DrcMpgGwShsxHegoN0J2Bv7h5dQOn8lhX5L+aB80vZGmQiMXHHkj5x/4ZzqtFbzk6KtZOXAB0jFYPbKLwKabOOvgZq5b6bU7e7BuLi0xPw82uwyqKZp338UrNu/g2OB9lO0i4oz3kg4FKU+4Xn9c+adJAqcCoXkFxqPlBlRXRaoaeiBApWyg+Syk43JQHULoBRpqDuJqFeIdR7CqfmpSC9DKMQLONHpSswBwiwka13TTVKrH0i3ypWmUpcZGvLCHNgpk7EbKhkLIyYJQKIfPo67ax5qJfaSCdaQC9TTWukxXdPCpHGtuRXeKrFB/yxEthKPGSWS92MGagGfZ06ynViRwTM8bl2h4+vZmM1c28vL3L3ruJ/Sv4IUjOf/OsMqVqa4YU/xF2CUF+zEjvJGnv3gQXyCPorhkJryToc+Xx5q0ErviCWvxsWnz6ZkzH9uQ+IIpxt1atFJwSug9jopQJUW3gFQrOFIlkjGoYD5u6VN0F8fRqOQ9V1C5GMdQczD9fFrjfgYnq+gPa2ALDSs/+Tk4EJv4X1QBllSJiiJh4bmLXFtFURzs6gsrvupvjf2GIFjR+e1ZdXz70L9TxU9b+f002Crv2bKL+r5RIkYNDB0gmRwjF4qQDoXA1YilFvJw3Xb+UDB50G8zXLXIqwpC9XGeplNQA2zW46QUB823kmrJof0VHXxd5BhaHceuEZzZcyVv3/qvrNq5isv2v4vO5ExEs48N/nHUmi0UY3sJZmZgViNgDxMr5hib24byw19wXzXE2jaVuFPAFgq7lq2k/ZOfYv5FL+cOeysBvZbC8tcy5lsGB2+DVM+pnm4ANMMTRDWVenyuBCHwReO4RUHALCGqFgKom76BmfM2MX/ug8Rqe8iMzKHkCnQlRLUuRF9umpcsVQ6TGbielnIj84bPAhSKbpTdQkHFpdGBcdlKyRRYbhmtcgQAf/phTp/wHJJSUeguVzi/qIMQHG9sISQqmEqBXt2Po4aJ5TKgayjaZEiMfGpqghP3rPLxROj5mcjngBMSekKIr/6528ke6N8aVrUylXE7xV+EZakw2T/BMMoctY/jn4y3q8+aFKt+/L489qTLwBXevXBVBpprMN7zHoTiEAikyYoomluHlphabAAIvHia28auB9VGSoVQMkgVE+VxoefguhrVvHfirxbixLUcxDpoiwcYngzSHtIhrDtUCl6wdiVtEtEmmFbnXRhqyeCftOw5joai2lSrU5b9k8V4oYq/pPBot8mHUz9kWe4Am+SHiLhhMtUJljtNdAnP3ZnZ+nv62tro0UxWnXMpkewKJnxjHHUjdFVHeEPfb3nj+HouU/NcK0L8g/DxMzWMogoOBkAIhb1mhi9sOkJHws+VdUN88DNrOf9tcwko3vnetftYtVbyoc+cyXtPq1A8sp6zT1+Fnb6fmonljKpZjvuGaMtNcO3QBG4+jTmwlaqqkTbm4jpVtrZMY9U/vJ1fvOaVbG7XmBVdybHcZKzt+MFTNdVPQTNsHEclIIMYeKLPH6vBLFQI63mKZgwhXNrjY4xZgkRNP6rqMNy/lB8ru3FtyXFR4dD4Sxna8nrcqsX1N9+DTyoEJ0MgynYLh2Scaeo4qh0lJVrI+xVcp4A/dzuKNcQld93D0p/fTU0uDUDzhCBUlui2xUB9E1GrwoRIkNZspBIgUihgr5hHfm0VuxRB0/+oxmi8SknLE468eAqRnKhF78qnub0L+Che+7MrTsro/oaxK5Wp9mdT/GVIE5MKlqWjGyVStfUEfJ57YXFphLFSYtJ16z39MYue4+hIrcq6DeuIKCqK4lJR/SSap5+qI3nBIRRP6Am1hKK5uCj4Rms8oac6gETRHRxHpZJpRkooZZuo1coQrKUp6uMwDg/bFvcLi0VxG6fgvWcpaeKLxJndFAEgIXLouOhIHFtBVW0q1pTQO1ncemSU7mGbWdHbuXL0Lq72n870yioOZbeyrbCOgBpiVs05uIUxNk+vQQrY1/IHrtq4Fc0NsqXlDmYYi/mn8TTLw2dysb+bD9uNWL5DbJ/2Y5prkpyrGGwzbIpNFp26wfsygneXj7L+p9/lhq98gc4FEc58zQys4v3MiPdi5O8ldfthpq9cg5QudvkoZuU4ZVmiffQMtjVsYDTgUNm3iSvYjFvMsq+hiYK1k7Lr594H1+G6kovqonynxQsBKulNntd2/NCpnnKklKiGhWMbCASa1geAGYih5l18WpUeX5SVi+rwaw43pnWO7HkZx4/PR/QvosbxFqBb0kkaHJ18IYptVQGBQgGfsAlhca80cRHMV4dR7BD5wBIsVTLv8CDNma0EM/dw3vYs/kKFacP7CVTKtJSLhJu2Ec/ZjNQ2EraqPBSdg6uAVHQwa+h72TBOVNK/4b34Qk8VdHLhONcu+jKm/uK5fp9ojF7X09xieF0yjgNvOJmDFELMFULcI4QoCiEGhRBfFEI8a0qLEGKFEOIqIcThydcdEEJ8TgjxgjBhWJXylOt2ir+IYDBOSOYpWQEMvUzVJzECaQqWj+6qTbJY57luFZCOg1Rg2rTNFGs8t4VqB5hIeH9bwiA+d+Gz7e7vC837LapaCUWXSFTM/igVvFpYQpOomo3jqliFBrY8cinZ4TmYpgZCoKkKtXE/19arbC+UWdyg4xa9U1R5wsQXr2d202SNLlFCCAgrLrajIoTEcqeiaJ4rXCnZkikgB7bD797JDUd6abV7+cjg99ntLmdp+kMk7RSbqo8yYO9kiznEDeYGHlB30dvVwbCRplhqZFGqgdFAPyOBIle/7RLCsYXMjbVR72vjWH4XhTV3EO5ex7EFn+INc3aSd22Ukspr1DCrpMNZxVlcNPNdDO8/wC8//kEeufE/cCvbiM4uMTHtRgZ334ZyX4kz265EXVdibmwNAbuP9nwrddbZbE3cyWBwGOkzqOoGeWsLQdvA5zPx2zlue2AjF9VG2RcSONhEg230FNtg4tQLPatcQjVsHFvHkTaq2QuAcHRSRyLYtsqyzruItxzBtnXc4bl0VF+CrX4OVfqI2p2YYZUhdGJWmaJbxLE8y7rreK0du5UBbKBbZIkoFTTHz/Sa6diqSrBYYvp4nJUHi5S0EA9Nb2Hlrrt4/aa7aJv3B1rP/A6txSTJeB267dCTsHEVz+IeaB7HiPYjrptDeWIaZvSpQi/qjyACDpry4kmk/KvOLlLKTcB/At9+bobzpwgh4sDdgAQuBb4IfAT4wp956WuAaXg1AC8G/hf4MPCrkzXWvwSrMuW6neIvo7GjE79TIe8E0Q0vxksLjpMqNqDQQKVYg2nmcVQHKzeOa1ZpbjnA/KZtZF2FHbF92GYVVwocR8ffHDnFR/QCQniCTjUf61AhCBeSuI4n1lQjjmI4XicLKSiXIwjXQDGfKIralgiwM1vEkZLFbVHcpEppwiTbF8KXaGJOozffITFZnkFxqNrexcJ+4VRieNFz61iGSx49xM03fYn0zlugr5/g/l9xZ/9y1PIHkbbFQ4NXEz5/GsVEC9vFXnzS4EjUwZQ+9mZX0nHsLUQqNWxtu5V3LH8Vj95wGDOY4Te+h9h6+Dvs126jqm7D2dVNMdmG2/wd/nPtV+jtfoBNiUf4Q8+3OCx2ErHiXPqSjxCIxojWN3DuuW/nQPAwAL1z9lLtzVIbaEJtGGNO/SJWxeagIVD2X0TD2JU8WrON6+Yd5FeL6jnt2HLmjK4hmdxDsSLZ8uAd3P/DbxM1VEZCDnVmK7vTzS8Ii16lVETVLVzbpOpWUPEyWZ2yxMrr9O9oZHnjdnLZ2xgfb2dOagHXVQp8Y/cQAHZREG0PIRGEnDxlpYpwHOrMPHbRC3uYr3nzeI4oI5F0q0FUv/dD8lVKtI1FuOCRXg40xckEfczed4ygFSHc6nWqmRbZTNEfIq2FKQUmHm9/FgmNU801kcqdDYARfWos3uvnvJ6fvPQnJ3cCn2Oei2XkBDDrOXifZ+I9gB94pZTyLinl9/BE3oeFEM92pfqKlPIsKeUPpZT3Sym/Cfwz8EohRMdJHO8JYVcrU+3PpviL6Jgzn4BdJeOEMIwSSPAH8pTz9YzLRtxyGEWROL4kuaEhpO7FxTTVFni4/XqMTA+1foexai0+y0GrffHEmJx0FM+ip5v5xx7AX56ASSHmi1+GqttIBMLV0KwguhVG6E8SevEAFdtLqljc3Yxqw4HfdlNO+vDVtzMj4GOGpVAnvM8loFhUJoWkM2XQ+z8zVprgnzZ8n0LVy/Lc2LuPQNnlq53v4Oe+j/K6fVeBFLQG3oCfIPdN/J6ZF15Ah7EaEeykaWiE7vFBipV2YhOLuTDbwJpSGNXMYnZbvLTuPKy9A+Sn/4HFS24hfX6IhS9RERbU/XqCwXUfQY5/hEQ4zqXTf83B1u3sblpJ/uVnMzQnijjocOUHv8hl//wZ+nONRKLHAHD0TTR//jR2nbuBzOrvc+Sc91M6+z8wjBynVTXOHFjCP2z6N+b2R1m+/2Ea8175FltfwL5ChJr6Yyxd8mOW73+YB2IGUaOO4/kQ1sjhU/ZZPEa1+CShJ6sotvedt0pednlmW4h0pRZF2CTHuplmNbExb2CpLinF+w0dn1z8GG4BSxH4lSrzYiPIZA6zkOBKYyMfclRe4TazoX4DbZrOwGQEhK9aJjxk0zY0StmYtMq7AWY0eK3ihobPpCu0G4DRUAM5rfR4V4xIcJhKpplUfDYA/pqnyoyoGWVe7byTNHMnhxNNxgg8zS0mhFiNZ2HbcxLHeBFwh5STRXk8rsYTf2uf6UVSyrGneXjb5H39cze8/xtdi5fRsWDxqR7GFC8i6jqnEaxaTBBF18uoqk3UKEMxwW+MAqWSJ9xcf5Ls0AjS9MoOaKrLpaPTaRpZQH14lAG7hWClghL+08ruf68IzQtkVwPehchF4CtPoFie0FPUKkK1EMIFIYhPLEOzQ9iqQrlcRkpJW8J7j9a4n9rGVgzFey+Bi17TSXG4yGUFE20yScZPhZLrfQbOi8cL9ILja/se4neVVfzg8CawyhzenuH9t6SJDWqcrVxNJmczo/l8Gnwd5PZcw1kb1hH/T8FoCwAAjxdJREFU2rfZteV+4skkVnoD35+/hI50N7tba5FARCq05Qe47qJrGbp7D/q5n8HftR5NLzN97maK/j2YmzR8mRLdtQUO3j+HlfOvI1T7Lk5repiu5bv4wE1HuHJfH690c3z4exu56ntb+EHuGDFflqKcTUDLsGHvnYjK9exPTufe/kspB4/Ssvh3NFkqAVsQVgTnHnkjZx59FSN6id5oH535Nnb7Z1IXH0ZRXE6zHmIsuwVbuETNZpKpApTSp/QzqRSLKLoFlklVVpBVCdLlsSJC0lHI8D4eHlxOTpyLLdspSIPV6lH0mPesq4+NAGCr4yAEtXqe9kAatVwgOC4YzF3MjIpJDUF8qkpQs1gf8NoQVtQsOJK9rbVUVYdUqMRYrZ/IjG2Ue2eyoH+UmvQ4AKORRobsAO5kjdKYf4BKtpmK4p1PzdooL3ZO9PSSB56uOI8ABoDLnqsBPQ2zgXuf/ICU8rgQoji57aa/4L3WAC5PLf58Sjj9NW861UOY4kWGWVtLoGQzFqhB16v4mr0VacNEnCEhsSaFnvAnyQ9PPG7Rc6XA111mnbWUlwZuY6u7imnZ4akajk9CnRR6mm9S6KngL08gKo0QAqFWEaqNqtpI8UTNu0eGR9j85S+jaRpdqy8GYHFrlI1bd6AbGpTxBF+sjeTOAhJJeTJJxqRC0fGEntRcr4WVMmXa+0vp6REQh/6tB5i46QvEzA/ztUsb+OKxr9OQ7sevvZKF+lKs4xu4uXETXXNWMqG0UTUEE6XtuO0v47y9rRyvUbmtQRJIVni7FmChvYDBz27AnHc1VT3Prh3nE+7LUr9sPyU9wqC+kLPrdtBcPcJBdwmjx3KsWvIxjh0LAV/jrBlxRpSPsWfXTajaI3z5wOUsrD0KwILZH+Xgvncx2PtpEr4CDS3/j/+5SdISdZjVeTP+w6ezp9zJTCdDs1vHoGWihso0JDbhy1zB22PDJBIDACQCBUZHs/QqY9SarSSrfhomDkPr8lP2mRQzOVTdwrZ9VKniWgqKbmMr3jlnzpln4w908I0HryQcjTG9M0Tg2ChtSpqzz2okfVzjK6trefihrVgDXphKiz5BRLVB+JB2Lz2Zi0moMG4I5rpv5Prae7mxsR+Yy3g0iSmhoqns7yiT9xeYLlVUo4xvaB4T/XfjlgOYZ5QYbGmir5DAjjYAEBFZ9NBMJiaPxYw+fWHkFxMnelZ5+9PcXg+cCXRLKbeenOEBEAfST/N4anLbCSGEaAQ+Bfzij6yDU0zxokAEAgRLDinVM0g3Nh0hU6ylvugJD8cykBKEmaUwPIrUPYteKTufubUH+Myqb+K4fh7QzsdfrJyy43ghovmjk/dewLejga80gVadtOhpVYSwUVULJuvlucJBCsnSpUuxbRslPwrAnHCV22+/nXSiEwBTdSDaRnKogBQ2UghURWDICoUnCz17qt/tX4pVtRkq1bIot5/P9fwrNaXtvKv6nyzO7OMtg39ge/pi1tRfhp0bpK/nN1xzusONnRXGAho7E3s4ElxNZ2oWqivJWQ51B3LYmuCq1SE2uJKjyjiZxoexhwPsUBfz+Ys+zC0HLuHq6pvI2FFuPWct9uhBhCIY7fUuK11d/8T06R/HKtxFs/UWzuz8BmtaN3D164f54FlVFMWgvel0UvZcEr4UGWcBV6y+iI+8ZBbf3HwWQq2jae2vucGssCtzPyoDrAmrvGLmnSxecQf++j00lMdQ9TKOrROODyBcjYMMUOdrIVnxn/I4vdHhMTStirD9VGQVt6qgyCq27v125p99AT2HD7LWP0h/usL9Ryc4V1NodaM0SotQ6FHOnl3LRYb1+Hs2a2MckUtQtDZU5wBSumQdydUdOj+bPZ+dgSMEK16Ny3m5CRonMkggU19DQ/Vs/DVl7LKJP3WcbalmypUuWhjgeEsLhbKLqzUgpEuQPO0zFz++3xdSK7P/KyeadftTKeXP/uh2jZTyISml9eff4a/mmayJJ1QCXAhhANfiWSY/9CzPe5cQYosQYsvY2NN5fqeY4tQhhCBQsMhMCr1mf5HgyDIyyqRoEw62ZSL0EvZE4XGhFzxyNqriEgkI1g29j2HRjK9YPlWH8YJEnxR66qRFz9ElenUEtfyY0CsjFImmVUF4Fytb8ZIqli9fTiKRQBbTvPusbmZGPLE47mtCAmGtDJEWkkOFx/tk1gZVDKoUXC820NUcqBaZ4sSRUnLbz7YRVQe4/tEPk9HC/CLwGpYWd/HLXR+hotTRGboUV1pUHv42PzjfYqW1klnjs+kP9mMkR2iwzkXT2rjDrHLUqWBLyTIVskGdm1rLDDauQ6g2E3qMvU2dWJrOrae/nP2hbq4+7Ty+vfYyft3RjqEMMXJ44vGxdbS/k5kzPovjlJg+7WPEoisopn+Fz91FODwfRTGY2fEyAFYt/DAAb1rdgRQBduffhqH3c9n0u0h3LOem4jZeYyQZbrkTgMi8G4nVH8J1FR4+ehq+8BhBJ8CwniViNjBejJzyWno9g6MoqotqB6hSQVYUVCycSRtLuVCkf2CAhon9rGnwrHyvs0K8zFrG1jt/z8brr2Hrzb+nfOSJ4wiICsechah6FxVH4sgt2MC+qHeeO+TrJeZ4iRNXHhlj5lCSja0XsWzoXOaNvwQzKqhkFDb2F4hEfBTEXJrpp7euDbU6hm100VnoQzgK0xYswgx4v33970XoCSHqhRBdT/pfTIqirwshXn7yhgd4lrvY0zwe5ektfU9BeP6pnwPzgIullKlneq6U8gdSyuVSyuV1dXXP9LQppjhl+AtV0lrs8f+7RxeRnLQw6UoVq+pD0UtQEEjdEw7h5Hzaq+9jVuW/OS6a0GUVpTzVieHJmCHPEqD7J9udCYmjFfBl9gMQi3unDV0v407G3jmTQi/gD9DU1MToyDCfuHgOuaS3SKwIAycUxW+q5Eo22bES7uRr6vwSv7DITQo9VBeqjyWCTHEi9O9PcWRHjg/2/AbDtfmm+A++NOfd/FKex4OD72a08F0M4Wf/0V9QqaSwwstpHmrHr9XQMHwus8Y+ybysxj7dIumkOay55IFMp2c/2DLdT2zafYicSc/YNPoSDSzc/wC16QmS0QQpPY4Ugj3NXQzFDjJ0dBj5pPZjbW1v4awzH6Gj4110dL6HSmWYbG4nkchiABbNeitLl15NS8NZAIRMjfPnNPCzR7upr7+UizpvIxUuclfduVxYdzeGWcWfX0y87hjRrvUMZOu5P7UCgGrTDlwhGdKylNz2U15iZSTriV7NDlHFwqmoKEqVquItgoZ7BnFciVrMs2L/dXyrvYZ2U5JKbOZ4/x5UTeOha3/Jnp5tKJb3m/FTZrwyi4aAQdwoUipuZXu4l4FAiUimj5JaJCS9BEf/sSKRzjjV2rkksjPY1nwnwWgeK6ezunGIyz/7FSquj2ZniGQgjuFGcLR65tgHsHINBCJ+Gru9xZ9hvvgDaE/UdftTnmoJ+wLwHeBC4AYhxFuf22E9hf14sXiPI4RoA4KT2/4c/4NXluVSKeWJPH+KKV6wmHmLzGTQsCjHieVGmRBBkAIfNlXLRNPLSMcHWgnXUYm7eQLrFmPdo5I2q4TIIa2pWLAn4w958Tmaz7sQCSRWKEgs6QVsV6Ne/0tNsxHKZFeLyYvWDf+5k+KwSjqdplQqMTQ0xPTp0zGFQzVWx2h8Bv/9tf+irCdB915bZ1Yxscm6XvyP1Gywpix6fwm9eyaoRsdYW76XXzVewrVLOkkHBI3pC1lScx4D1SFu7/8x4f4B1p3xKebmZqDaQezhmWjlWqSicNAneSBY4p93/ojv2AHeq/rY1dlMQOZ4k/8H6P4syArb9aW4ikJ95hgXrv8pL1v/MGf0bUIgOdLQhKVJMsFRhm++72nHWpNYSyjkXcaik0JPUQzisRVPed4rFjczUagyoX0AqTTx1rk/4X0rD3LZ/K2EwwuZv+zruLaB5suxeWI+/ZlWqraO1bIJxVU5po6CWo8cO7WZt5nKZPswO0RVqeBUFDRRpTIZozfU7yVaRAwNNz2GuvMerK5BjjtbcKTFOee/Hd30ka1kieGFNwyZtdzdOpv6wAHW1B5Ht0rUlDbykhuv4e3X/QjDEmiY6E6F5Ier+OcJ5hUkApu5sT2ogSqL9GHWXHIJobpWbLVEQ9HL1M7GzgGhMF/fgZNrRAjBtKV11LaFUPUX/7nyRI9gKZMJEUIIBfhH4JNSytnAl4D/d1JG53Eb8FIhxJM7CL8GKAEPPNsLhRCfAN4PvFFKuf7kDXGKKZ4ftIJFlgiuFERHlxJQHySNgV6NIQSULB+aXkEoQYRexrEMapSbkY6GKzLkDAiRx5UvfnfEc0nQV490QJ206AlFQaupp3Z00tU0WXblV7wZEl5NMBQLiaSuJcrEIc9C2tfXx/j4OC0tLUyLCJxwjAFfKwCWmSRQ613o6rQiprCZkJOnNc2CyfIgU5wY/ftTrA5diyMV7oy/losPF/j2vUPM9s9hrO9e5MPfYeWu3WQTK0jXDuMoNr93u7mvXUFN/QhnbpGbfRVeN71IsslitqYyu5Ln/PIN/JfzQVbITTxYfRl5n87BxunUZJIs3naYptKlLB2YxYUPZAmPXUMqGKcY1yn5B9n3w+twi38q2IUQdHV9AFUNEfsjcfdkzp5VR9in8YedaVYt/Q71kQhLYt9GKuO0tb2DSEsb6uBqAArpJcT9fg6nu5hhuBT0An3KBAEtTm6kz2uyfIqoSm8ONCuIJSo4roKmVqlgIIHxXAbFtuieu5Bp7cs5kNrMoLGVobFxAmqY2IEQp0+7lNbwdGJ6La6U/Lb2Fdy1OMxgU5VZkTGyRoS6sQEi+Qy67dCQ9FFWQgRlATcKw4vTNKdcun2bON68HKkIjIoCp/0jhmHgKhaJrDdHIw3ngHSYHXgUpdwIwJw1zbzmUytP1RQ+p5yo0IvC40koy4AETxQevhc4mb2UvgdUgOuFEOcLId4FfB742pOTKiY7YPz4Sf+/Hvh3PLftgBDitCfdpvyyU7wocS3Qsfl9/g3UHX4pIzKMK8CcDEIuWT50vYzQ/ChaGdsy6ZPdRLRv06R/lJJuEiKHqr14GnI/H/jNGK6lPG7Rc1WTmrbptAx5As82vPsx6ilNajOfUUQoNue/ZS667c3njh07kFLS3NzM3JYYolpmtpEhEWrEMrIYEYlwVcJuFh2XPN7rpGpPCb2/gFKuSnGwn9MqD7Au9E98dYefT/XBaU6Eo+mt6I9eQ5U0vz/dYPfCBLaRYz0RJlwfM/rWEQ+Z3DogqBV5/AOPorScjiIEqdHbuLT/ZsIyx/fTH+T75tv5pPsNhqI1zDy6FwGk9NvRs3+gKEO87caD6FaFfZEGUFx2NvvIb9v+tGOur3spa8/aRirl8otf/IJCoYBVfmqsrKmpXDS/kTt2D6P65nDW6feyv/I5fnfoEj5+aw33HRjl8wOX842t7+HDr7yMb71pGQdSM6j3ORyP7cUWDsIfIVnSINN38j+IZ0AX3nHpdgiLKhKBqeeQCKx4PSmnglLIoh5xWMAagsJgy60HyAwZtMTbkXqBmnQja2ovxyGGao8zv3CYb+z/Dx5s6UII2Fq7nExzG5FpSwCVrrEAE2ackJLHtQ3GGkr4QwMs8N/GaMj70W7o+gKEG1EUBaHp+DI6uqxSMePEq0OYVDHd5lM2byeLExV6Xs6yx8uA/VLKgcn/o8BJi+yejKk7D1DxSql8Ac8d+7k/eqo2+ZzHeMnk/VuBh//o9rKTNd4ppjiZOLZCiDwHxUx87m6G3VcAoFkhNEenYPvR9QpoJormWfTu0+EPyVfzs8o3KWk+QuSIRTpP7YG8wDDNMNJWmGx5i6IHScycTsug57rF8ERYFZPBgmehM40iUq1iBDQU18DQfOzftxeApqYmEg0thI7sZm6dH58bw9bzVNwCiqsjMuMIAdKeLMaq2lBOP5+H/KKm/0CKRYGb0LDxZVeTsSa4d+JqHhy+jvGD13LnUjBkBKPmJVRNh7FKA0dLM0FKHvbNZXDuBaQck9f5N5OXfnKBGAUnTz6YJj4ty8DQbObunmDN4R2oVQ3Dtpi3bwcR3zTC6SwPd9yLkrkdQwaZ1rOPnc0LkcUc6bogm+66BYB8Ksmjt96IYz+RryiEwu7duzly5Ag3/OoXfOutr+aO732D3GSIAMAbVnVQtBy+ctt++lNlvrG+jgHrSjYeTfO2qx7BUYN87tX/wKJpjSzvTHA4sxQhoKPBqyEnDT8TxQBk+p/fD+VJmJoXV2dYIaqTRcSD/iEaTJtKQxu2CmoxR8iIEazrZ/mefaiqDa6gthVUO4h1/CYEChU5wr9o1/Ka9A1cOXIHb8xfwy2LOqkGohxauIzmmh6Cb7Spz4Sp+g2CIk9y++Uotkrniu8TMY5yeaO3oDISix8fYyQUQLXraGIQgEW2dx/ydfG3xolGGf4E+KoQ4nw8kfSJJ207Ddj3XA/syUgp9wLn/pnndP7R/2/FE3lTTPG3g64SIk9ZM+l1FZKqp0z0iorq+CnaPhTFxTJsNL1KtRAkrVQR0RS7xRhFbT4hcjS1LjvFB/LCwmeEce0n6goaahizsdFLfgE0zXNFVTApml7MkM+Xx1XKKIrA8GuEtBDJcpmgqREOh6F7KYKfE525Anm3DiqMpgZQ3RAyOQoK6K7pNaLXLEgeff4P/EXKyN7jLPXdxu/Gr2R1KMSe8XUow3sQruTexVkGa/3YzWeiuiqR9BJu8SsE/HCBdowbS51cP2wTocQV5VWMzNa59cgObjK30jl3CNdVKGxdQLDcw7LkCKelb0EtFwmGXo5ZkyY7cISOVCcVzUH3rSZeVrEME7trFvpgPxtsh449u3ng1z9lYmSEQibNma97y+Nj7+npAeDwwCCNjU3sW3cfhzZt4G3/8z2CsTiL2mK8/fQufrz+GNv70igKfO9Ny8iULG7dNcw7Tu8iGvC+g6oiWNy+mP0T01keO8Ju6WLpKmO50PMv9Epp6H+E8bhKQPdsPz47TLUyWRXADbCoYYS7D9fiGiZqMU/7h1bDddcTDITwXRBj3+5uVsVTuMUKxoxLwYJWdwu64vCOjm8SMfp5l/wO1aiPLn8SVdjc1LaY24Or+XTrx7H8JrVMoGQXMq3/JxzuttljtFBnD1NxFRKR1seH6/f5KKZcmunnOJ2cLvbgVP3Earqf33l7HjjR8ir/gRfrNjx5/80nbU4AP3ruhzbFFFP8McFoiKBbpKT58IsV5LRhFMegbuIgwvZTtLwszqKRRNOqVGyT8VgLKbOfZmOYkuInZJdpn73oFB/JCwtT8yFt73QoHTDNGFp9PQJBRRoYqmfRq2CS83kXWcMsoJlpUldfgy+o4ceb+6aIhmO7RNpm8O7v/5Km016ONWEiELiui+IYuJYKUuIHXEdDqhaMndqSGC8mggd/zpF8hEa5BNupULfzNvzhKtvXLKBcv4R2dw0ln4/W42EUW2VUlbx9YYCYO0abmKCCxqWmj3JNiqa9NVxoLUYJDxNrH6B/YBpUz2fGgJ9NsxpI5CyMyFuRCYPRxuOYeohwysUQDnU5i+XH/CAlx+sF0fHpIF1+fd1vGdBDlFun8fBddzB40MsDrFarDA4OkjBUkBCeuYrXfOErVIoFDj/y8OPH99GXzKKrNsiugQzvOKOLpqif2Y0RPnzBzMdF3mO8/vQO7u5bS1yTNNQMUdQc0tXI8++6ffTn8KsryPffg2+yWLtphbEs72/VDaCaSeJ9PRijAyjVMtH6BpxsFjUcZmepi1s5gy8NreBHs/8L2/GsgmFGybsxNibmszPRwf64J9YuSuxnSfEAj4Zm4widwtwYZdOPv2oRaZhGjZc/xfFYlGy+l4lygvrwE20ffT4f6ZzKbLmXqJ1mpu8O0kfPIt5W8zxO2vPDCaeTSCl/LqV8v5Tyx/JJOeRSyvdIKX92coY3xRRTPJma5nYCdpWi4qdMlaRMo9oB6sZ3okxa9ABKRhpNq5J3fdw6ZzGG0chE00pcodJYHSfe2X6Kj+SFhaZouJMNZ11bwTSiaA1eJq4lDQLKY0LPR97n9c5U9DKhyDgj//EfGKqLOTn3tQb86EPrGDyUJhiLkxsvI1yVeLTWe51rcGxTB7p0MXFwXQ2hWshTXPvsxUJuJMls5ffsrcyhPTQXt3cD9y+NsHnRmahqhI7qDGJ2DXWDI5T88zmqWET8Gva+h2hxE3yuJsmMcIrlqz5D/5KvMnju96mojzBv0d3YVYM77V4sBsnFVzNmltD9r0BDRem6jyXLb6dtaQ8A59UdIp7dS6yUQHMcDgSaMGQrbXuPYo70MTOjoUkVapq4/Ttfo5zP09/fj+u6lA7vo1ULcmjkOLt3HCXa2MThLZsAsCyLY4cP8D9XLuDyJS28e+20Z52PhW1x7LElJCt+Glr2kRFFLK3p+bfopSddxwN7MLUSUgoMJ4jjer+d6KEyof/eT8CRmBNDaJpGMBbHzWZRImGSJRNd2BxLrOP39ig3Lf4Bg4k9NIlhsnYLJVMyVLIY1aLcywUsEBtotUYY0r26osOJFkpqAKOgE26NEwxMQ6+6lGMudnWA8WINdeEn+sv7fD5sxWZtYSvfVv8BTTqkDp1LrOuUd0h9zvmL8oaFEJoQolsIMfePbydrgFNMMcUTdMyYh9+2KCoBkiJJSqiotp+WVhXN0rEr3oq1YqbQNIus66do6Px20Up+O7OZlaWtnJbZjmoap/hIXng8VejFMdraqGoqttTxC891q1Rccv7JuVOrhMMplFAUefwwWtmPhkWNEDi2S2rYu8CV816MVlN9k/cerkFFiaA4AgMH19FAtZBjR0CeUA34v1tcx2XgB5/EJ7L4WIEqVAZTRyk0vBzDMSE2myOl00iMrUTqr8XW/Oz266ypsbGVHLMXX49Y+i0+vvLfCBtVQJDXNmKfczVSBOjteT0Lht9Ib2w9hVALb1gfIh/uQFEOMXuG93mGF46yfMEg/shpxNq89unze/sZ1BtxFZd28zTO1k7jnI4L6VQasEIxMuNjXPuvn+TRh9aBlDQ1NHJOdSXT3UYe2rWJbGMXvbt3UikWWb9uHddeey3r/vBrPrAySsT3VAve6Ogov/vd76hUnuhu8/JYgvsHlxCND1EJDqIZ9VgTz69Fz0r2AnDX8BBBM4NtG6go7G/wvvexnSmUooumeAuicDSOUBScXA6RCCFKgs8bPyER9hptXeMMcXd3gg4xyrjdRdHUaB89wK36pfxYvIedgTYG/F6GrOFWOSxnUhZ+tHyYSMKHqJtNPG0RTSQxxBDj5VoSwSfOez6fD0ctUc01oiDJ9y4hnC5hxv72EtVOtGCyLoT4LpAFDgG7nuY2xRRTnGQaZ3UTqDqUhZ91Ri+OUAjlTIyLWwiUKiiWJ/TcgFe0NyuC1I6tYzCgECgf4R2Vq5Bl89l28XfLY0JP2gK/EUfoOsebojiOhiI8AVY3XqUyWVfLclRiwRyJj30MNTOGmxN8km8Tn6xFXSl6Gbzloif0GhzvPVRXw/YHEa6BIWxP6ClV3IoF2cHn85BfVLi2zfpPfZ0Z9nU8VJ3HdP9citle1i+ci2PkcfLTuG6ghvlpwahUudtfZZPP4qjuEh3fw+y6Max4H+rQOdAzC1eU6bmnCemAYftoPLSc/EgaxXKRIQ29mkWYa/CVxpANFRx9P41iBr6yS3VlhWtCbQy1nY9SHWL+0Qq2qjGWKFLbMJd2XwMNV/iZN3MOlnRYcuXbSA30s2/nTgzX5sK178S0NS6oXclaMZ9spUolGOXY9i1semgdSqVEtVzmZz/7GXt37WLPA/fgTpZL2bFjB7t27WLDhg2Pz01XXYiRY2twXEFt0wF8ZoxU/9Dz+vmURo4AcIdTQdMdHFun4pS4f/lZVAwTM+/9HtTJ0k7hgNdf2slmIG5yQWUH3f6N5FR4VypDtprh4eTNmMJiFC8T9ozBLFtYBcC3Gt7OHYnTaXIHmVkcZK/rhaNo6VpCCR+0n0asYBAyC/jVPEWnAVV5Ig7X5/MhFQc741naxw5dzKLTYid/ok4BJ2rR+yxwCfAOvNZj7wPeBtwD9AAnuzvGFFNMAQQbGgiWvRO+LWLExpcSzWZ5edMZ7JvpR9je6l/xJwFIqmHeuXM9b83/gHdpP8NnZnFKU9a8p+PJFj2/z4vT6W+JPh67B9A+aFLVvItF2TKI+cqUOurQrSIVW0cBSgVP6ZULnsCrFLwLXEs2Q+exY0REBDsQQkofurCQkxY9W/pPeeuqFzLr/ucHzFR+g+Xq3GO+iqhRx4HSPsrhIrJcS0u+jX+WAr9UuTfgsttn8aDPolErEaREW3g/mqszPL4D2b0bX/Z0EsNn0thTS1UrM630W/4fP8a0k6w0DMLZdQA0Zm+jec6DSLdM44FDLMzPRTNg9tyHORquZSR6gNpCAoAxs0yNT+Av/wTlyC3MOXsxptQZGkhz6b98BjcYZv6S5dhbs5jTY0TOa2d6qZ7aaA1ObSP3Xvcbyo5EnxihU5aor6/n+uuv59YffJvtd9wKQG+vZznbsGEDh7Y/CkA44WP2UIbD2SgNDUdQAj5G+7PPq4W4Uh7jtmCAQ4aDoju4tknByZOKxFm34nxUY3KhM1mkIywqcMtHcbNZZMJkmjPCjYEadFflHZkscyot9BrbKQpB2fRee7CjG0doXCRvYq85m/WJZSwWW2jOZ8hqXgkVo+gnnPDB8nfgXPj7x8dni6anjDcSiWAYBvaR0xh4+J1owyaz3/IS/hY5UaH3arzadddO/r95MmbvJcB6vM4TU0wxxUlGNU0CkxaimXUNaHaI8aYCY6KBA21hTFtBugIj4EUiJ5Uo4wvjpIMJJtQOVLOIU37xt/Q5GUjXE3DSUfCb3ip/uD0G1hNWgIZkiLGISl99krKaRVUgWdmBZhepOD6khNGUV1C5OOyJ7ccselrPIU7vPU4kYFDy14H0o2PhOl6MnuVOCb1nQloW/n3raTQOckvDGlZm46RllkfbdBQrSHHsCK4zgZX1cVhzWL0oRIwsIOgQw5wVnU01NoCtWNTMTVETu4CGQ2+nraGLmaMHQEL/Ge9ki5jHh/Uf82r1DlY5NzBv709Y7L+Xmc4eVEcSGxkntPrTzJjxKcLhPiKRzaQbxglXVGryWUZaE0S0W0jU3Edl+y/xNYWZ7m/l8GgPD2zbiQTajUbcXJXwWa34ZiVQTI35gW5sw8eEHkBIyaozz6Tn0UdYOWs6tuNQaZ3Guqt/zsTQIIODg8ydOxfbtrj2qh8xcvQw4Rof8eI+1ifj6HoVpbWPVFaD0jN2/HxusSvcGpD8S10tUoDQbaRtklQqdA71sX3eKrSlk+cdxSt/G3UG4JEfojGOE9KYTR8bAjrNxWYUTGamHaSQ9OkapYhn6d7cspyFchuvKP+eiJtGCsESttLp2I8PxV+VnkVPUaivnctEyeskpOgtTxnyqlWr+Kd/+idCMkSubyXzZriovr9Nb8eJCr024KCU0sGrmRd/0rZfAa96rgc2xRRTPD3+omfR0xr6WBPYwuisNADHE2Fi0sG2TPx+72Sa1OPMT2zjSn7Dec4dVNJtVPoip2roL2jcSaHn2oKAz+tzmepKMNnxjKo0iJRAKoIDbSUyhTglRzBR/BG6lkaxLY4/WEtlJEu4dQvZvXsAz6KnKAL7wG58s2fjDyqkzG6E1NBFFWmrCMWmqiSmhN6TyJYtvnL7fkpVh+ytt1JXc5ykGuPj0z/MLLWNze5upBCMWiH8ndOZddksiprLtqjLR0fX8wmtn4XqIC8VVZYv3k/VVKgWNOh7FzMTX8afVIhqPyFTDTNe7uLhkUd4c/mjjHWdT19sguSsAInkDh5p62a8tYlEaAnqu9dDxxpaml9Hbe35dHVvJ9g4hOJUmDaSZk9LFE3xmjA54wOMfe1LrFi6lDo3Qj6Vo7W1lcQBgd4UxJwRQ+gK/rk1dAxF0DUNJxBm+rRprLzkchRFZd2Pv0MwPYLtD2GZAW792Y9wXZcF8+fhy6WxYnXcedONQBor4NCXrqFUCqF17CJV8T9vCRlWqo8hTQMBgXIERbfB9jHic+keHEAqCkwTuCqkLc86l5QlAHyRPDnT5u7aLnob3019biHp8EwWVbyF0lHN5EDcy8BNmzHOK69Dy9bz5olfMGOkj1nsY0Hgibi6EALT74lKv6FyID0TANN8orQKgKZpRKNRWlsVEpmDLHzXhSd3kk4hJyr0hoDY5N/HgLOetO3ZU4KmmGKK5xTfpEswOT5I9NA6DrV5J7CkHsXVfdiWD9P0AsdTWi35La9kxw3/yZHffZf0NZdiHH9+Y3deLLiTXi7XVQgYnhvIbatBVL0Ntqvhq0pUx6Hg81O1fXy1cAUp10K7/FGCxT6KQwa+mmO0rPk+MrqNak8P5aKFGdCoHj2GOWc2/pCGK3QUV0NXKo9b9PL+Dg727mS0Yj3TEP+uuH33MN+9/wh37h5k7Cc/oDW4j+saL+Djj4xhq4K+QAmtXMM6Gvl5oZN3revjf4MVLtEUdiU72amWuDSU4Ur1O+xJ/RKEYHRHE0te+joGb7iKuP45Zih72dH9HjaPzKcj0stv3rWA1GmLONoVJPOSEj3/atJ62hAVN01tx2uhcQHgtTSbO+craFoLa1t3E4vdSeO4SUbX+VnHMrZZywioNuNbf0Vg/4NcGjqdV8nVvGHN5ShjFqGzWhHCW1j4F9Sil2F+5xwAFnbNJ//jo7SH5uA6NqumryQQCBCau4i+Pk+4Fft6UAeO4rMrHEnluPnB31Num04NYcaHZmPE+ygGn7+iyZm+ffTpXuxda6YTVbcQdoC06dA27Fnjxnw15P0m5aJnNZuhDwOgNknKVoqrG86jElzDzu7LGFOmcY7jjf2gHuawLwFSEpAFZqVHsctRVosN/PPGq9BwmFHbSKDshUzUBp4ITRFCsHn0Qq45cBnx0NOXTVn4gVfx6u++FrPub6+symOcqNC7Hzhz8u8fAp8UQvxaCHEV8N/AjSdhbFNMMcXT4JuM+UpVKpR6DnHYnEZMei6a0VANdtVk8hpCwUhQ33+QWKZCdPxuFu36IcL/t5dV9lwgpHehEI7Er3mB4jXB4OOuW2krVOpGCZeq5A0/vYl6DkZfy3ecjyA7k8SX3YlUJHJ5j/c+sSITP7mKSsHG0F1wHHyzZuOPTJZncRRM4eDaKopqM0w9kfQRNmZe2K3QnHSa4S9+ESedPqn72TPghR8cuGs9aKOo0sZ/dBEvLdSywd6GBB50G4kqNi/VD3CWdpSl2gBpNrBBP8CiRWN0rvo+D58lyU9myISKtfh+uIYZ2c8j1F7k2o9z/hs/xuevfBcACeVuBoauob7uIqb1WjQqo9gBlUh4IXV15z9lfLoeY8Xyq6mUo9RecDMLk2nOGt/GF6e9l0/M/2fukEvomD7G2LrvE1yoYY8USV57ADVqElhY+/j7+GbGET6VJaKbtWvX0tBr4uQtlq+9lFmtq2nv72ImLYxm8yj1zSjlIlt+fy0N7V285oorMMYGKZeKGKkMLZaPZMpzURodz59FrzB4gKO6Fx/cmomiahbC9iHsDNP7vZjCfrORQriZGsfzNrSb47hSEKopo5fGOO5vQ3GKDNSafHz22cQoUWM79AV8jJAgkU3T7R7Gzjdgl6PIkMNIqydh6lvbaUx5no668FNjkC3RyZ2951Iffnq3rNA01FjsZEzLC4YTFXqfwusZi5Ty68A/Ax3AIuBbwAdOxuCmmGKKP8WYtOj1d3dgvfflDItm1nIPinQYjMaxrSdOaFLXySlZQvZvaBtdj1QEc8+Y6gD4dDhMxvk4Ln7dE3oNvjBVvPmUFly/LEq4XKXg83O0zgvu3qPNZfPxl+Ffsp30Gx2IlZFSIKJFMjfcQDldQHcnOwXMmY2/wbsQm5USBraX1atYDNgJGqsTOKX083vgJ4jtSr7ZO8IrHtzOl8oK62+546Tu71hfH5/RfoFy9CFibXk25S/kHHcRfYWj9AYqVGydnGryar2PZWKcL7b7eVtbnHOD/VzYvpVI9A7ApTQSoDKhQ8HHq4y7UJz5jFc/z5GL70ec8wlQNUKhOZhmI0ePfg3XrTJt2kfodOewcluG07icFStuQNfjfzLGYLABTf0IIGmedRPvfeQ+3n30t2xvbGJz8+kMOO3Mm9eL+eDL8LdkkWWH0BnNCFXBclwe6UkiNM99qx4qcdbSNVT3pQguq6fjDafxsv/6JHVXzGVGqhbXdSlLCAqXfHKCZZdcRseiJdTIKqFDO4gUa4hWw/SVVWxbx99qUx04dFI/o8eojB0jrXhFoDty42iahWoHsK0kM/p6EK7LDuU09s/8IHPySZaf2Y9ftbnfXUTAV6WzeIRxs42a4l4uldez1VzM4XgjHbbFqKjgVoOkQxGmKwcREyZuMYAwHWRtFSkF8fommpM2iiOpj/ieMrao3xOgdWHf0w3974IT7YwxLKXc/aT//0dKebqUcqmU8mNSyhf2EnSKKf6GUEo2HfIom3yL2X7GPACm23tp5ThDiQCVSaHnOCqmZjEWDLN35lIeOP8Cgjf9gdnvfeepHP4LFmfSCupIMBTPKhD1RcgaQQAsV+NItImgzJIz/fQlmjCKm5kmD/KTxleTHm+mdJoLA0HKyQ6UcAbpuuSPj6BVkyiBAHpbG4GYd8EJulVMYWPbCopqk6t6sZNm8vDzf/AnwI2jKf796BCzNz3Ee6//Ffft2n/S9uW4kkWjN/IO7TY+0vgL4pEhdPfllGSZjRxBKjb3u91cjsmEkkETQ3Tway5507lo+YfJt+9FSklhNIavtoQZVqnLVykEF6P943X4PvAuFqx8omi4EIKamrOR0qah4WUEAl3QtNDbWD/nWcc6f/4ZZA/UEenYxBFlOucn7wXgWPZi7hz/Kv9S+meqqkt48J34OosEGw7DA1/lxi1HufJ7D3NgXy/Vvk3IskPyuoPgSIIrGh8fV3BlIw0zW2jGy+w985LLWPPqNzBr9Rkoisq8s7zuoLHGBQRskwH/INlsHXp9iuE9z893yU4eo6AIVNckjmexU6wAY1qK+nQSf7HEoK8OKXSUSoTTk8cA+B3nAWCSo6rXsczoYYHcDsCWmpl0WDa9qmDhsSyuqjKNQ4SOTaCmPQttQziDUw3hC5qcdazKW+7Lkkg8VdDFJ125dc9g0ft74C8tmDxXCPEmIcQnhRCNk49NF0KET87wpphiij/GRXJRYR1jagPfG48jpMuR/DGmc4j+cIyi5Z3YHMskKAr4fSFmzJjBq171Krq7//b6OD5XWIZ3Oqz6eDx+KqSHGPd7AiyYs7js/juoUwcomn7KholZfITXFa8lb4Z4ZN/FaAOC6j0trOcspD9P8OX/jcMo0Ys/i7u2CYRAM72s3ECkgoGDZQtU1SHsevvRcwOn4Oj/PLeNZ6hT4B2/+yUAZnKC7SPjJ2VfR8fyXMgGRtRWDh+vZXf+bBrNDu4Xe8nUKBiFEEkZod09ghSCH1kXcHvS4c7bXkL1rBJCgdy+VnruaERIDYwysXyW4AXvwWgOEWoM/sk+GxtegaqG6Ox4r/dA8xLvvv7Z+wE0NTWR7JkHjiA24yCjnRAqF8nP3wYIZgVbebP9cYReId73GpRfXwr3fYnOTZ8HYONV15L60VdB2FQOp9FbQ+hPHl8lR3RePwuqbYSMAPOXLGX1q16HqnmWqpWXXsEl/+/j1LR2ozk6Fa1MNlOPiE4w0Pf8xOMWy6NIITDsKLqYzDK3gwwpXj1Ps1Sh3+9ZREuKl+DkIug1lpBzfDwU6QJgpnGM5GSd562xGbRbNlZVIZjzhN00DrE/dBSR86zv/tA40o4hhKA24qN1wiEUf6rQiwUes+hNCb1nRQgREkJci1cY+UfAv8JkBUP4d+BzJ2d4U0wxxR8jTJeO7S00ykF66KCJAfYUqzTbhympPrKOd6JzbJOgLFDX1MEb3vAG5s2bd4pH/sJGCi+Y3JFPlFMJ6AHG/V4RasdR+eA1P6U57QWXK66LUdxBx5FOdFllWI9T/yWd3ko7P629lJ3BaVRcH2rDGEJ1ObakjVnrd/HVbC8VDeKxfoQA2/YyBGsns36pFp/Ho/5TjhUrfP7wADnbefyxsuNyXzLH2uE+xqMN/Ns/fIGuwTG+tutJFiPHgu2/8e7/2jHs30aXM8gjx09jc/ZsSvIKJmSGQWMM1QpwvNTKOagE/Q/iSpgb3Ia2dAAlmgEEx4+vppz8DBdM/zQTg16Z11DRgLnPXAksHl/F2rO2Ewp5WZrMvwJe++snBN8zoGkawY6FaJuiRDs2sauwiu7sUY4p9eihERrTY4S6V/FP8qMUsj5K7W+DNe9nefImXqPex97Dw6iRENUerwXaY9Y8wJvLq9+AfutrmNtl87rKGfiY7JTRuxG+fxbGxq8zi51EanyIig9DqmSzXhuvXMiibDl/POTnlEqlQlHkUKWCXo3iaJOyompi4y0E1FKVcZ8nXstmHLukUjUELXqV7fZ0Noc8oRfJpzFthTo5whFfF+2WxXnbJYfauolbacJugfmXJBmvj3nvq5cR0rN0hhPm5P0fC70pi96JWvS+BqwBzgfCeEWTH+NW4G83L3mKKV5gmAGN4sBiLih7BVTb3UPUjCzDrHhBzxkm26DZBn63wvTpC0/ZWF9UTFbsd59UYzaoBSlOVtPf2+i5+urSEwC0TmSJl0LkUrW0VocYiXsWueGaGABZNURZz6JFRwC4vnElRcflJqeWn13iEoh5DYVsx7sQhTUD1wVZfX4jYfrLVV657TD/fmSQnxzv56VbD/C9vjFuH888/pz16TwFx2XNTTfw9Tf9C/csm8kfznsrW3MWl287xCcO9tO3/Qb4/Xtg9+/+6jEZ+65ne/61+OovYMWM11FrNnGrsQ0FlUhmDrt8UZZHjlCYOczyZTfy2tOuR6gSRZUMHJjNm3tu4cpLRpnzqdW88lUfZcmuIvHpV4IReNb9PmbJBfCqIr8MnvzYM9A0bx6R+wsIxSVRqtAaPMaw2olRe5SB6nT+dWGSB+Ri/jH/YTL9Nbjnfp4NciFf1K5iblsvHb/6BU5yK27+KP55ca/+XSkFt/4zHHsAhEKo5hFkxSG/YbJ7ys0fgKEd8MBX4I5PEA0WUK0IAcdPNpdAugpua5j+J32O/xek7WINP/N3su+BByipZQxXJ2oJqoa3cHFsg3BmFABhVcn5TCRQMeNYZZWiHWP2kMk+ZxV7I90I6bD4zl4ax2bQkK3Sp3TRWDeNpUdcdk2fQbfdRyUfA6Cm4cjj+9c1L7ElNCnwQomnCrrLljTz0ZfMJGiof9U8vJg5UaH3SuBjUsr7gD9eHvTiJWZMMcUUzwPR+gSgUHdgguVyI62lTVxw6K3Eh6Oo0iYtvJVzxTbx21VaZ061oj4RJE9v0atOdhco6jHKpkHzhFcWYuZwltb0bFKBCaYVkgzXeOUZhhOehSFHlII5jhkZokiAu/V5RMpb+dLIxxgxa7m/xivVYU925EB36S91Uy1mn5fjfYz/OjbM5kyebx8f5ZNHxqkvpPHZFttHJh5/zu1jGYJISlYND89pQrMdNsyp4213DeBmk1w9NME56Q5+HnkZ9tbr/roBSUl7z+0MBRawXt/P1cY6rlfXY1Ol67BAsQxmaFVaZ/2QRP0AqvBqrPl6zmfz5vN54+h60PxoN78fNv8Q7WeXkEiXEcvf8deN61lo7+ykUghh5UK0hQep1fuwVIPjDRaWHUU79Dvef+50HmqYx649PfRnqvxj5X2sdxbwlvhdmA/8E41vXkXpgX9H/ub18JVO77b1KjjjQzDjJSg9t1BsC5LfMIjb+yiMHfB23uB9j2ZPz3PmZSvwO36Kwqaaa0BtrpAd/et63g5vvJMt616Llc0/7faBLY+QVS2qik1z1WZy3ULFVqnNVLAVAU4ZW1MpG4KyL45TUkiXuzAqAazsxQyGp1PPKLGNNtpwDXXjKkM0cU9zN7W5KMloDTPEftRUHHUCgjW9SNf73ZimZ72sbw/jjxgEY08VerMbI7zv3BlPFfF/Z5yo0PMDE8+wLcyfir8pppjiJNHQ5ZWuTPeEuGz4uzg9nkDRhheTYIKUPin0HB2/XSXUUH/KxvpiQky6xB4rnAye0LMnq+5XRICyX6djYIhLtz3I9IEUrZlZpBlnRjbLSKKWsqbR3+C53rJEKJnjGJEhHuRsyhi4qd+z2t5DoxxkR8gT4PZk2zpbLdFbWEhuNPm8HfOxYoXrhpNcsXc7V33n03ziJ1/l2//8Pqb1HmXboGeJdKTk9vEMaw8c4EeXvgp/1SE+/D+UTYVd09p49bVHuK2thjljB/mXJf/Cq3MXseX1b8QeG3vWffdOFLjw6w9y8x23Ib+xGLb+FOm6bPzNZzlaOIuDxhh1mRIFp4e0WWXEfZiCfy6DquSls36KHs9x5PAKfD6LpiHBnIGHeH/p9/TrnagffBTqZsOtH4VyBt70e2g4eaELra2t5MMROBggVH+ATL9XwuhIxQtf354vc+VcL5N7XdnP7qMjZAjxk+MX8KHqP+JOHCF86F+Z/vIR1IH7YPX7SJ/1Re6a/UUqaz8Fcy9DZPv5Tv963KKN/fv/wJF+cvalyJHdSKmjVUZYfPoc/LafrJ4ll2lAqR2n0Lf3rzq2wfEHKNbsJdO/72m3F3IDDGoqjnDoKlZQJ9uVVRyoy0A67CPseMWRs0GXihkjV9YYszrIxnPc6a9SMGppyQ+g5gXlbBM1I0GkUBkfG+NAx3QAZurbiaRqMY4o6MFx7LI3t36/93ube0Yzb/n3NajqX5R68HfBic7II8Cbn2HbFcCGZ9g2xRRTPMe0zJwPQKga4RuWS3BoDQDG8BISTJCc7NOaRuCv2OiT9a2meHaEEWB0R4L0k123epCq9IReFRNXFwSTRZpzKcYiOi3ZGdhOgY5ML66qsm32fHqavALWOSLI0Ab08Ah3cxHT5UF+fOxlSBVmsY+dvnkIKbFdT6hbaplxpuPmcs/bMf9P7zCa63DFL35E3tXQzUv5w3mXML+/l32qgSMlj2aLjFs20QGVY00+Llx/A93ao3T3HWBrt03KifPQ13fz3t9s54O33caWuQt5w2vfRf8Br8uHrBQo/OCjyMpT3X8PHhxj/1AOZf3XEKlj5K//KDe/50wG7r6HdGAJFWHjlhegOavZ7x8k5b8Ix6ijuWs99R07GeifTYORBsWmo1CD1jaXR9WFyNddDeFGeOPvYO3H4T3roXvtSZ1H0zShoZHazRkUrUpbGjRpoVkSVbfJZGdgr3sN86IKj9TPYdcjO1Gky4XFR7jBPZNHL3sA+9zPMeE0MHhsJZXzvsgb9yzlndun8/0HexhrOZeqVJmnPkwpfhQ9eTdZ52JucV6KQJJ3Lia/o4SWGiFoGRT1IulCGBSX6vEdzzr26gO/YeTV83DzT98ubbzkhYT09mx92u2WnaJf89y1Z1aPoQcmhZ5VoS4jSEZV4o733sGzf0YlEGSrr4UPrn4L3zq/nYlpA4yKJjqPDVD0q1hqDQ0p7z3cQDt3rVyN6th0KUcJ5xvwb1Tw7xXIkiemA0FvISuEQNWmRN7TcaKz8mnglUKIu4F/ACRwsRDiF8CVTCVjTDHF80Z9VyeB4gCJynIUV6EtNZ1wrhfpmETdJMMBT2hkpY9Axf4z7zbFY+i6n/pFSdzQE0ovqAWxXW8OyxioiiQ0WuaVr+lgX2MYw/GhWDESueMAbJq3mPG4J7QzMoZdk2RAbWZINHMOdxEN99Pn15nJfrJKhFzAT9n29veIuZcd9Q7Z8ejzcrxHixU27Bnj0gfvJTZnOXcuezfXn96GbV7A9JGl+MsqhzJ5bhsepWOkzAOLuqhN52kc/QOXj5/H3CO3MB6L8nB3H+bwYY42XkQku4p/u2cLBX+YfWVv3o7d+F1+9kCWoz/4xFP2f3jXMF/IJblQ3cI3m1/Lj0fPwXXPojX+Txz2JYlUwgSNRupz3Zx35E2s6V+CHh5k5qLfkkvGmLZnNjWte6mr1hJ6+wNE33YtZ332LjqnzfZ2EG6Ecz4BoefHou2fPh3/fhfH0ZgRyiKqA+xor6esZqhMzKYnMMA5vt3sT7SzfvcAzflx1sz1Pvu9I0W+UX4ZK8XXeJ96IZ+5bhu7B7LMaYrw7XsP8anfbWOdXMQbtXuYVvogUovyEXsVH5cx+rS5BNT78B/8DMp3lxAXJgW1SMn2fKiV8eFnHXfmlptJ7nSZ+NbX/mSbdCWW4lmYB1O7n7rRdaB/C3XmEEO6Tm2pFqUYINyYo1yMUHUsajMK41EXw/Gsw2k9RH+Xzode9d8Mh8IErSrjs6ZhC51puwa5/rzLsPUg8byL7lpsjJ7FA8tOZ9XYPgyq+Eod+PYrJL6jIipevGUo2sgUz86J1tFbD5wHmMC38ZIxvgB0A+dLKR85aSOcYoopnoLf7yfs68cxGlgx+CE0adB+/G5Uu0CkWmA4OJ2rB+u53jwdf3mqndaJYiiTgfruE0HbAT1A1fFiwGzHRvhMlCz41XEGG4O4uPQTY7zouSl3TFpbg3aBrIyh1AwxgRcs3kIfm2N3kwtqzJSeG2w8EcaZdO89VqPKcp8fq8T31h/j0o15JqLLeO3lr+PG1U3sbffxy7U+eusMZvdV2bLnALcPjrLoWJHBGo0333ItqYYaeiZqqNd38bo7buSeFSu5bRk80rGfX7wixrXdS7loa4FsKg3AHyYE//H6VXwz1cwPdnyfsu0Vj45uPcb82E6K9hraDqzgZbF3sKD2JWwKDVIWFmqunVWawui0Mj/ukPwylqb+zK+DI8nd00lT533YukLHad8F/dQXw2151SspmmHUo34ijXvoKuQYCnZiB+6glKmj7IRZLH6LFAq7Ih1MK43Q9eaPECPH5l17+emGHqZHVPbUdHHtjhHeuqaTny4bwqwWuLPH4Xj9S9CE5Je8jGOvvpl7aaXOdPhm+WxUkUWYAiFsIiULS7Gxqt6cKG7lWcdtDXrf3fFf3UDlyJGnbHNSZXw9Ser+XSNX6cFxnhSlte0X8KPzWKNtY1xRmZ2eTTGlE6kZw5qYDtk0ibzNULSKbidRpMMENTwwpxYkvP3OCd594G7SmhfT2jEwxK7u0wBPYDTlsuxT5mPaRS5JbUdKgWk9UR5Ks70QlXCsmSmenRM+o0gpH5JSnglEgFYgPFk0+aGTNropppjiaTnzA5ehV3MsPt4K0qUxUiKROki8KHEUk2r+TYwkXoJZmrLonSiGEuen4wbZ4hM1zAzVwJ4sF1J1CrjRMEIKrOF+wqEoyViJ5swsttjj1KRT9DV43TLmjx8gJ8II1SGFZ+FLkGRvIE1ck1jFJBGZZiQRI6t4Folm27OcPJYUcjI5XCyzoy/Ndy6Kcs+SBP6Swvt+dwcvuf9DhErj/OasEF3DSX43nkXtd3lkZoS6VIasej+pWAdSOKT88zlQcx0t2T9wz8ozeHDxUiJDB9jZpXLTqhB7k55A3qBWsQLLuHbNOfx03yC/3H8Nn7z3M5Rm1NLgvoK0/XFW6LM4Qi/XiFtJkiecnsWisX6I6mwoBkhmylwx67eEQyl67mqmS1/KePMEAVlDNL7spM/XidC1cCFzr72GwD4wwqOsjm/CUSMcnD3suVd3vh7fUo2447mw53XWQOcqZhuj3HxcJ1e2+dpl3Xxz0/d5lzbAB0v3kn3/p3nPthuoK6ZYWSlw0yWP8tny6/nhJi+b9V9WaFxnn85VD53P4Wsny/TYRaRwsCxP6KnGsychVEfSmDEL1dQY+uznkPIJi3Z1qEDgWBG9XyEyPkFvb+8TL0wexRUqmxdHsdxm2otR0jUBFNXFHFuAMZpBkTASdbFEiZid5xjT2FtTy5qdj3Kw5hZWBW5lpdyAcB2ax4ap073SQkYlTfOg97tb4TxKPNiHU6lBUaMwGYpSa0wWHg81/LUf3d88f/HSUUpZklIOSilPbbGnKab4O6Zh/hyanIMIoRDJ9tDxpc8SSx8klvdO9qmIJ1aMcvVUDvNFhan72F7SMHhq1p4zKfQcOwtxz61aHR6k1s0w3Ay1hQ4S+QDtI4M4qoKvUqZ93xBFJYCNyni1BSElITfDDL9nERkea2MW++gJN5Gx66hmdAJRryadIfwn/Vj/69gwvfU6sUKVrxX/kf/+xgdYsvunZBP1RJLfRQrorY9yxJKs3N/HUEJjxbHruHu1wht9TbzytzfSOdxIlzILO30tC0fexzdG38ZXr/oy//bd7wGQK3mCRs16i41YPs/Rhsv55rEUDx0J8Yr8AFImuXH0Kq5yf8/DwSFs1UckNZfOgTGMFfN5fSlJT6FC+4wMC9s2k+ntxBqqo6tpM7mwRlvn2076XP0lBLu7mf+un8Hvu+jc0kVcTnB/64eI19xFf/8qUsNBTpusUdF1eoz7HpxPbWMagLXKdhb+djXzZjTwqtt/yPDnv4NiSN7+lQ/xywf/jdgj6zltmmcdvm5fkVYxyhm7NhGpFNk4fQXhaQZOVTA3NIpEPiH0Au6zjrk6XsRfU6X+onYCxfspbX0iFi/dN46Z9D6/yEiRPTufcN/K7CAVQ2HEiNKRa2PGwEHETAvb1gmnZqFN9uQei4IlLBJuhl1iMa5QOPfR/extuYdM5whnFL/DJ376XySjcWYVRkC4KO29zE5KlnGIN4ifYUaGCGgdVH0O2mR2e6NyBvPm/g+aNtWv4c/xjEJPCPHZv+D2mZM5yMmOHPcIIYpCiEEhxBeFEM+67BVCGEKI/xRCrBNClIQQ8tmeP8UULzaWX74QxalSr43iX7wYNThBKOOtdlNh7+RnFKdctydKyD8Z3K09tSl6qVygJE0mSsMoDXUAOMOjxN0RDjWYgEKivIjmUa8LQcfQAMG8tw7OE2bCbiZh5cnakm7Tu+gmxOl0uPtJ6QlsQ2Xn6ALsjjS6cBHiqft/ruktVbhxOEU6pHJZ76P47s9SN5HmwRUdzMvMZkG+k2i2nwOtPr7y3Z+wt7MFw7LZUf8Q0+wOWn9yF8qsTjrtARYYJmdn5zJWyfCvMshnr+zm+PQZABQme8oJ6V2YX79OZV5vhdHgWlabgni5g73Zg4zWx7ECIaYfOE5idCkJu5Y5y5bwGXRU2yE8W+eNLb/EcTR6HjDprZ1Nqm0buIKG9jec1Ln6vxCeu4gZr/wkgR01vH3XRioE+I8zT8PQk4xsfSunTd9Jfdgkql8HhGiJe/Gd71wmwLUJzq7DzecJzwjQ+eZW/MtWEJoRp3BghKaISUdNAEcKVhb2kf7Ztawxc6xPzEIugEpWo50DGBWJhYtr+VADz1wUw0mncUoORtgmGj1A/aIchRt/+vj20cHj+Ia972xooMy+/Xsfd99WJ3ZRMSV7Dy+iqdBMIjNKqD1FOtVEWsuSDnsu1bGIwOcEiUvPYj2t2kvrhMO5MoFflSQetFmx/wjHmlupzTkEEhqYedoGNL7e2ktET2JGB2nsWkb3p9ei1Xm/wUB8Go2Nr3iuP76/SZ7Novd54GPA+4D3n8DtpCCEiAN34yWAXAp8EfgIXozgsxHASxwpMpUVPMXfII0Xn8N58lZOe6sX11KzvI3wuCf0xnxe3ItWnnLdniihgCeOo8GnFtV1HcHHeiIcL46jNXsXL2csQ5jjHKyJoWglfHI2NWmvdVnL6DDBoif0skQYp4aIPcyYI1EECCmY2XE68cpRAHIhkwcypyENSSI+gq2c3Bi9u8azCKBzxGJl8B5a74W9bQqVmkbqmv005RrxVx5lLKaxZ+ZF7G3305U/SNW1WXEwjNA0Zn/r+6z64FnMmLeJpccEawfOQ3VMjkUPMxHy+phWFO+76Gjemryr5zYu2JZnQfI4/3JoDxKVbcERhC9Mc1+ATOQNqGqExX6Xq1r8HB3Lc+bo7axtvotpxgF698+kqDZwReIuxutVfPpKdD1yUufq/0r72edSqO8hsH8lbyr/gFGzm9HZW6hkGvEfTfP91/eh2ls5fHgWL194BV9Y/R80zl7IQ/l3EJ6lUvfD79By2ihqh9eVI7RyMU4Jyo8+zOpuTzjP6zuO0dVF3XkKBVdwQflzHDO6MOx+YmWdolbErvpQ/Bau+/RWveqkK9aMWYiCl7Rh7bgbt+zFUY6njqFMTNar6wXLSTM05C1ohsci3D34SfKpNnRpEAiUMPwVKhPTGXB7GKxfwLE5HbgJF78VpGayS8Za914qZpwzqjXIqp9VNwliuRyFJg0330hNYwSplUCqCLvt8bGGQtMRuoJW61k1tdqa5/Qz+1vm2c4oRwEd2Ap8FJgmpax7htvJTGt6D14dv1dKKe+SUn4PT+R9WAjxjL9yKWUaSEgpXwrccBLHN8UUpwRhGMz80TeJnuc1Ne+++FWER1xMWSKtxRDSRZlKxjhhTM1zmfrVp7puDQwUzXND+ptbkYqEZIGwGMAWGkb9EYTWRSTnXQDrUxOEJ92WOSKkRZy0myFle6fbIDFmzpyFkfeC5GVIMjIxHauqUZPox+XkFna99vBhXEVw9q4Skb3HCRdc7lgVI1buJDlYpWVoiJbJpvO/XTuLiqGQ4BZ0BKftfZSGz34Kan30HvdctG3Ng7Qldd4w1E1caBwMeS5o6zGhp3gWyu7jm4lzAz/Y+WWy1jk8zG7KoRC1Iz5cbSkHm0ok5wXYVXOIFvNz/FPnDzjrrCNcpl7P/uwido0t4iPzN6AvGsLRFOYt/shJnae/llmvPh1cQfsjOs2yjxunLaO1Ncn4npfRu/N72K7O6Mg0/n979x0f11Un/P9z7p3eR71ZzZIt996d3hukF5YSFthQFlhggeehLPW3C+wuW7KFzcNClhICYYEQ0rtT7MSO48S9y7Ysq0sjTW/n98cdJ7KixHZiqzjf9+s1L2nOLXPuPbrSV6d2dkC1Z4Dn7lJsil7Jg3s7uLT1r+nMxaDSWtXGe9F7AE3swd9x+ZxKytUQpYMR7l6+jNyG3awMPMkU2wHudS/CtKWojHuI2+Kk0y6UK0l/2+gjb48Geq5wBg1oDBzOIaJfOx891ENicB/doXlsXPVddMRJQPeyb5/1D0pb/ww6owtwpr0Y2QzpKVajmat7Fp2pgwTyDtTqUipcGmfWywy9lXq9l5WOx0l6/LiLD5Dvq2Rbg7XkXFFlO+mhYoqr/ORNK9DsOpgg2W/NIuD1WjXFRwO8o0244vjeNNDTWjdhLXu2FWtt2w6l1O+UUjcoNQadSF53GfCw1nr4dPF3YwV/bzk5kh7eq1SIM5x/wQps/WmKC3Obe4gBtvHN1CTiclj9Gt3msSM4ver1wM9TVIZ2gjEA1b0d/Onzf040HSVvCxOKRvHGD9PYdhB/1Pp1dWD3lQyafjK5JBVRq7+k11VPVVUVnngYU2fJBGB+wsXe7jqCxQc53YNu92QVjkyexsghip6I8Wq9YsEKF9cc2s0V69dzQdBk9WAb/liE1nI73kya7vhmpqTDxD6fYl/1PezZ8wOy2ShebzPOxZor161lzuJX+WTNFPpc1s9f2jw6EbQDtMaWGWRZ9l6cqogDhpdtri5KOmOglzCdIV6cX8ILlZspWnw7jf6DLGjaRqihlUe5lE17z+P7nn/n5ZYcA2EnM2f8gFBwYgzCeDPnLDkPV6oT555FLMo+xEFnM6nKNWil6Vv/Yfa98D7c/TPYse159g8EGRxMY6g8+7sr8MX8rHO7oHIeALaZZ+MqyhJdu56zp5Xyhx3fJj3HZMbchxmydzAtFWa17xH2aqvGeUrWScwWI5lxop0x+rdsGTWP6X170S4Dw6HYbStlkGKcJZrIxiNkH7kDZ3wvttqVLBvYRMI3hdpIH/t2bYPDm+iLWp/lSiQo7usnWuUglXJTlKogGu3CmQoTTZRQbde4Mj4Wmi/wvcw3cKsE+ZoktlCEHdkynpu/BIDqkj503iRc4cVwWQ9B29Ys0fb5oG14PNaIW7NQo3f0qzi+t/yVorXeoLX+a611LdZ6th1Y06t0KaV+qZQ6ewzy2ALsGJGvg1hNsi1j8PlCTArKNNEMEs5aQYaXODaHTJZ8ouq9VXyiP8K5vvpj0oO215ty/cUVaBPMAUXzi524UylmP/0sKp9B+T/BBRueIxCP4U9YTbexrhBxp0HDUI5qt7WiSa9/Op/deQhfaCVBBkh7TIIapnRFsTnjOINvvaLEOzGYzZHNG9R3pSg9uBed1fz+LMVURyvx6heZevMtJD7kp6llEG/UCg6mRnYRyWka02WUFJ9PJLKB9iO/obLiWqqqbiKZP0LpfX9P1hlndcvNLPTXY+Y0mUITdNZ04MhCz/w02eIv0pH+BE/bt+EZjKJyF1Bm5sn6bSwb+CMfD/yQ/mSYKv/3WflEHy/uvJw7+Si1/Yc5MG82SZfJooW/orLyutN2j04Vm82G3TZA3FVHb/cgHh3lnvJp9M36GY5AB7ZIHWXBdqbO+BWNxR0EL/4W1TUZ1OByzus8i21GC5QVli90ePE1B0ns76bz+99ncG+WeVO3c/HuHZRVr2Gvfy+2vgBX7NwEQJXKE7PHSGedZB2DRLftHTWP6X276V8W5schHwOJ2+jQpTiKc0SPOImvXU8w0sbOQDdfuriJZKiGkp5+DrW1kfzxhQxkqjBySeJeE0c0gi5LE4+HSJhDpMtbUIabSLSas3wZ6hNVGPYU3sJqqfYWKz9/qL6ExsMHSbnsZJUVuIXKPTi81j9bvfsr6d1+ORWl/4HNZvWhDV13PRXf+hamz3e6iu6MczLTq6zRWn8SmAL8CLgJ+KvTlK/hwsDAKOn9hW1CiIK8I0oobS035MknCITGZvLdM4Fhd/PJgQhh57H3LOAo9BDR4C+qAGUFelM29NPvD1LVvZ8lG76PM7mXeUcuJBaYji9pgtb0+qym85Whc3jSVks+b/BATxH3dPSzNricEAPEnU7s5PAMWH+47N5BazLa0+CJnghph4Pabk10QScf/SsbNbYKAs8YxM/OkzzbTvuRewj4Ivhj6zBySdqTv8Wf9nPNvGbmzr2D+XP+Gz+l1Fd/hKKwtSrLvn3WZLvh0HLOLV+NI5snY1p985QBd2z/Op6pZ+NNt/CAbQOk41QfDGMYJj3B3TzX9CeumPIb2qKV/KLtk0x/5Xe4nTnWuFdh5vMYtgid3h4qKq4hGFx4Wu7N6eBu8JI3HTRvn87szBM851nB9On7qFz8cxov/TbVZ/0XHVnN030+qr1DxFvuwswGOK/5fny5JbySeP3nIHzZSnzVGQbv+Ql1l/TQ3NuDO5nD02NjU8kmIpn9zNi2jbS2UW9EidliZNIu8o4o8fbRV71Itx5g09Q+bi8Kca+xkf7dBg4jic1vo7djFq5IngfnNPD8tHlsbanC2xUlh40jnmqiZjnexEvkTYO4Q+MIRknEQux1H+SylQ/i8B8hmijFZ4LPsPoKu8wGALz1W9B56ItXsmDvdlIVJomhagBCZR5cnhJM5xD5jBvT3U9ZoQkbwFFTTfimG09XkZ2RTjjQU0qtUkrdDhwAPgH8FviX05WxEUZrglVvkv62KaX+Qim1QSm1ofs46zQKMREZ3gzBwgAMdy7NlMamcc7RJHK0b96IPnrFR0fj4sIWDKFSYPaB40iGiqoKzItn4osfobH1DiKubrL2UkxVgjutaSu1gkQVjTG0zUbrPWfxQNwKVPZ0KALZGDG7G5dKM5i1/tApW5rU0CBvpXfbdt5Oz5R7jrQDUNeZZl1RHxlTc3n9ZfjvMzHzLrbv/Qp2e4imps/SlIhSfPhjODMHudZoYPXKb6KUYnD3XQzRTfeO2/F6m7Hbi4hENuJ0lOPxNFBd3oAzkydTWBZrZnYPSwbWEUhcxAP29WRVllXPvcpA8TL6QvtJzXmIc6Y9zq7DTdwRvY0dU5sZ6HyOJ9KL6fOFCMfS1M7sJJ9PU19320lf83gqXdoAOk9Lu+ZIdD8axfq+C5l9qJkjh7I8GLHzi+4mdmc/xca4g9Lw82RKtlKyqYFN5TO5ZMMutvZYS+LZFl/NlNXdNF7WjdOb46VZQX4XWMWawjyM989Ls6neoCsVpMjWRVLFX5tiRWeH9dXd9xT82xL0UCf5noNEXTGWb89z/R82EdzYR/9eD5UfvZihYCNZtZCDJdY8dZtqinC0x1AKDtinkzfs9AesQNRdlMGw5cjGStgf2ofNzFG26Bdkcx5UEkzT6o/aGx8knzMxnXGMDgdfu/NHFPf1kZ2SI9Y7E3+xC0/Agddbic1jjdI1/UfwSe3dO/KWgZ5SaqFS6gdKqQPA41i1eZ8DyrTWN2utnx6DPPYDoVHSg4xe0/e2aa3v0Fov1lovLi0M4RZiMimuLSIQswIAdy7N1NmLxzlHk4itEOCNmF4l5LZG44YMN8rpxMiaqLw1YMI1cyZFn/0Eibl5wsEMxZFdmOY0Yr56vMk8ByusP8KRvYeZczCELXERK17aw+eqwpRE8/iSGQbNAA6yHM5afZ4Me4qunoE3zeaeV7fSde21vPzYkyd9iS8PxHCmczT17ORF326m+6o45z2fovy2zzG16UsANDR8huqqm5lus+NP+1netYJLl12AYTjI5zMcilqfeyj6JFpnCYdXABAOL0cpRVe6DEcmR7oQ6LlVkvud57PV7GDISDN7wyb6Ks7B5u9k1jn/zszSHex4uQX19AdYvG+IpMPJf5XdyFP21URcXkqG8lQU76Ss7DI8noaTvubxVNNQjSPdjS1ZSof7Ehzxl/hV6DIih1/l33IB7s2uZkfVt3iyfCkHHavIaBha/J/82jmDJ8usVVZ+84w1/QpNF8DHnkD5/ES9NtbrRTzl+Qytnn7mH16BJ7eAr338UxzKeXCbrZi5LOnC6hg2t0FHxBrgwKH10LML/eh38ZYM4Dxo5/N/yNNWpthZY9L5aoDNW/IkAgZZxzTai6yxlnvKSlGJPGXpDJmIgQmkfQ7MbJaA1+qqoKLlxEO7SGVt+Mp2UVK5i3zMjs20npek7VWUtsKO3JFyStsPYObz6IYk6e5GqptDAPh85dg9Vl9Pw9uNyzX+K59MZm81j95OYB0wF2st2zKt9dVa67vHeLLkHYzoi6eUmgJ4GdF3T4h3uxnLFuGPWE1mnkyGkob68c3QZGIbvUbPH7b+0AU9RSilMLzDVs6YOpVg7SL6P54lW6OZv2crCpOO8sX4E0lyphXslHd7caeaiHvKaT6SYl77fpbnHXjiEFV+DHc/+4xadN5E2VL0do3e1AZwaJ81IrZnf+tJXZ7WmqGsyZSeHFnbFpK2FJ9b9ElMtxvefys1DR9k2dIHKC25hP6BF6kK+7j48MVM8+SZMcOar679yAOkjCTV7QlSKsl9P70Np2H1IwuHVzDU28N//WErzkz2tRq9rK0HW/xs9podGD19NBwZoqtoEc45f8RlS+LvDtAfXUhpdA8zj9ThSUV5qHIVKINBt5cptj0YKkl93cdP6nongvLycvJGL1FvPY2dTmrT/WRNP1dMu46u8LUMlfwl/tRBpsYOst64AlsCFnnT3L0gScJpYuY1L/YN8cyj60mnE3TbutDpQQaCNp5IX8Z91e3kjTyXrN2C6X4/scAqvj/zRkJECGU9xLJWGdh9Bl1DhUAvaq07qzbfRbgpRvEhGwknbPxkObdffwMxZSey60nagts5FHQTHujmPY/8irYiq2av5kgvaijIcp+J124SGhjA47UGGuWGiijxDPJCVxnpdDUVc/9AX6YeDKvmz+4aIh21zhMdmElxvzU6PVZcQT7lomqa1RsrEAhiOCMAmP4oSp3ekehnureq0WsGssAi4AfAHqVU15u9TmMeHwQuUUoNn/76JiABjEWNohCTRsW8pYS6CzV66Sw291gOkJ/kQrUw7VKYsuyYZJ/H+uMTDFi1/MawZiR7eRk2WwjDcJMr0vh7t6F1HG3YXxuQYcvm8KXcJO1WM3pJNMfmxx+jti+Be9AKKlNlHWwzS9EZBzZbmr6eyJtmM9rRh3v1F6ErelKXt3EwTsZmo64ry/riTVRmfSytvJhfrz/I4u8+xuNbd7J33w95fu1ZbNnyl7RMLUGpPEuWzsI0nWxuG+Cp9X+PJ55lWleI/ICJGXiB//3XNbj819C728ldf/8+4jnFZX1PkCnU4riTin2qD39Kc8W6p3l10UcwnTHKKl+ltb+ORHk/Zy9uw+bcjYGNqq7ttBWVsWbqeeQNg/rwC4TDZ+H3zzqp650IfD4fyTLImw4ue/kV7O4qKrtaiYY/RDx0DYGhZykf+Ef+rOf3tJoNpLqnYJomqcBl1MZ2MnOwi9YyG1/ti/PwU0vZtumTHK5wsNmYSpdZgyO5mQt8eWyfzrO/ogRbLsa6uivY4W2kOGejX1sBls2r6R6wgiqiHeArBwycgRxTUlNg8RIu/kGSf7r9Hh66qIm61jQNL97Plilhpu98len7tmJk0hwoK6Ky/xAV+gKKbYoeM0FgIILNnyKV9JDO5qmwa3ZlNCp4PnZvH7nW6Zh2K8iMxwP09lo1173x5WDYyZswlLemWKmeFgLA7/djCx3AVbQfh3Qzfsfeau6F401IPFZ+BHwG+J1S6vtAI9Zkzj8cPuWKUmoP8LTW+iPD0i7DqvmbX3h/fWHTeq31sEX7hDgz2EtLKTqcwqUThGOySuFJsbvhfb9+Q7LHbo26PToow1ZSQrazE/J5bCUlKKVwu2vIlR5E5TMY6gCaGXhzQ0AZRYNDKMCWjeGOd6ONADGzj962ftym9f9rqmiQvd1OdMaJzZYm0j/05vnsSGArmYm9b+NJXd59XVa/4+kHD/HQtH7Oo5x//dBNPFt6FoZvOkdav4Tp201t7cfo6PgDzlwrH2lqp6rBmi/vhW3/S0PgCFN2J/lB55UU92+h8bw2Gubv4qk7U8xd/gCXTe3lo+0vYnZqDnkrgbMp6nbSaeap27Of1qk3ErfVkGm+G6ctTXWrhzJD0VW0hqE5CzB2pVm1uZ2A+0W2lFvTpzTad9BQ/72TutaJQilFcGqQ2AZobEux29nMh/bcw09KbuG2B/+HxfOexlUeIWUMEsgO8dPgB4jkbSTNYi43/5Me11Q2m7fQ7wuSHCrD443z4NQF3MGnGNJe3KnVzHNt4uncZWg03zL+hm/ob/DpaX+N5/A/k0sXxiu6ErRv3wWzq2GoE0qnM9TTj8fczLMLGvjV3FtYMnUTNzz2IGZxI2tbdrHC+UF2V1VQ/tyzABR1dvP0spW8b/8QIXslz6c62FJfhx6MUVm0k0g8RJ+thzql2JdPYg+UQwLS8TpMv/XzbKiPcrjnAEF/B6lENQOhZuyurUR6puMtchAosf4x9fv92MKt1Dc9R2Tgg+NSdmeSNw30tNYTItDTWvcrpS7AmtblPqx+ef+EFewNZ4M3rAb+n1AYz225p/D1w8CdpzirQow7pRS2RJzPrXsFb6sBt453jia/1wI9pxXomaEQFFYaODpLv8tVzWBpG5DD69tHNDqDDq81oWvxYB8Qou7AI/SUVDHkns88dyvtOddr64GmAzlyWqMzdkxbhljXmw/GUJ2DEARbJHVS17HucBfgoLHtRZJzHDTH0uy0VbOq6ymuWb2VKs9WwpXfpGnqB8inh2g7/Etm7eul+w/fZV2ykpqZD2FEXXj6XWS60rxYehF9+7ezoPlFSqdtomFfErMzw2Gfn9qhQQJqAABH0o6reJDeknPI6gZinlbq6l+mta+W6wbWEij9PDHXk1QvOUD75n3U9lXRf+QeLtn2MOGFMUKJNKHQkpO61omkoqaU1hf6yZuVBAeiPLV0GQv23s7685fyY8f7+NbGr1O/cDere57mgYor8WRjfED/hGlqE8XKKuNavZ8iXyuJLSu4t+gD9FSEWWSsY5trNt/W38Xu8DF38CXKjQ5usP+UXwU+iyd3AXMObyOfN0g6BogfsFZuIdqJrl5M+6OHSZx1LpvKp5G1eXl02SoeX7yKjz33Ox65KM/qvbPZ4TX4ZNrNkqoPsrbzEJtmzOK2vjTRbIbf1cOa6Qt4ZtpcVuX+SPxIM+3uwzQliombQ+RUOSagXBlMuzUTwKJFV7B+/Z2kjTxGPkNfeAZVZXvJ9MygfkHRa/fM7/eTLgwkcTorxrK4zkineWrOU0NrvU1rfb7W2q21rtRaf11rnRuxT73W+tZR0tQorzvHMv9CjKW8bRDbwWmohMwXfip4bVafvKM1embg9QV5jq676XLVkAtZQVtdaBvPnN1LxGcFg65knMUbvkftocdRTUnyppOcvwyUQfGQNQo24zapUDHyGTs2W5rEUOzN85OyfvW5OLk5Ejv70niTebL6FSpSPmrmXEnN1YPM/fA+qkufYdu+6fx+21x0Pk/o1c1oAx7xt/C/a3uxTXkIncpTviHHD4+8h2xtNdWeLIlDzXS+dDXl+2ezq1fzhcAqbvPV8pDbi0fHyKZTOIMxliy9F3/jy+zzDLGnYTslnj56dlcRPPsjGMs+Tsv070K+j+Dih1HmFF7150lU7qTau5v+/YsmdR+tiooK0o4IkWAjt667gwPU0u27nk2OpTjRfGfup8n0OLkudg9NHb/gf779RZrufJS/63RTmdiNoXPM5lUGs35+kQ6ypbyEKV2DfOJnd/J3G75KaVc/g3nNDNdh/tjr4ErbGpYO/SNZ10yi9hiZjIuksw+zNwJaQ7STTCSLjiXoT9vxJZr51ANDfGTTU2TsDnq9RdhzHyCah/c93M1M7zSKnJUs6UtwsLQKs3ga7RlFl9/DhS93cv26n6PMLPFYCBU+RE+0GBRktBWg2TwDGI445KG8vJbGxkbSOQeB1B56SubQWz6HXMpDVaHZFsDtdpPNWM+dx1M1HsV2RpFp84U4wyin1WSr1cnV+IjRjWy6NQKF7sJ2O0bQ6kDkdlWRd2fIO+24ihN8qPT/4xe7PsXjM4tQWhOIHqI/XETDMhsv/wmG9lj/Yy96ZQ3GVfNION2EVMIK9HxRsrHEm+bHV4jfjy7ZdiL2bN9J2rBTEskQqzjIvZ1dHK6biSraTGfqfPZszjPwioE//X3+874siViaBdcrWvKHsF8YQAdz/Ev3dRypa+UrbXtZlVqNzXiYPrOX/fEyqmIbeSx3E+fG6uhTQ6xTWTKpLg61tWK6rWspnv8oXY4wH5hxL10dZcwNLERdai1jFnItprrqFtr03XgjW1jQCYsWJIi2z8HBjBMvrAlo2rRpPOxfh5nzUL8lwq93fJHwrm5eeW8TD0y5kkdmLeOXjvdwa+093PbTDRR399NotwOa3swMyujkAA08MGTyUl2atM1k3o4XqVmX4I4ixVX7HqPhSBt7L93C4x4blyXtfMzzPIf3DvAT+xCZtIu0I4J/KA7JCGSTJA70YATDRPN11PYFMLVmcczDH5Nt7KidziWdYfYPbMatPASKi+kIv0TzgJ0+bwl7++/D89L/crb5ZUrjlRSHrX9w4vEgDY39HDw8DfytZHJhVM6OxzxI1u5GpW0oZXDhhReyectz5Owb2W97P3sGPgxAVfPr0+IqpUgkZtJ2KMvMmVKj905Niho9IcSJKymxApO8kR7nnJwZvPZCjd7RptuAFdwd7Z8HVo0eQK5Iky1OYTorcWStACeYKMyDtnARZc2VACRjVi1FSe82vNk4gypIo/8Q2awdm5mB1OhlF8vlMO1WoGk6T2y++INbXuH33/xrom47VT0DtJREsaMp3/RbuvZWsX1dhgH7U5zT8DIZj4ugXzMv3MHMnUkaB6MsPtzJP3ctoy35JzLmFuJqMU8aTrbnb+UhvYj97OCXqVVEzCCDOkZJxg0oSrtdbNy7E8NhzeGWydu4dc5dOAwfXQ8HmTJz7jH5bGr6Mi7bNKpX/Ij3TOvEyCs6Xno/c1dddELXOVF5PB5qZ1hN/MFkLbYOBy8vvIUZD3Ry3oZ11Pd18HjgGjpsFfSvnMoLZ1Xw4vUVlA1onu9to48wO5jOuphJxrMCTyrCWevXkTbh0IIKHlt+FYbzPBbvXcmPl3+Z1qE5uFFMDx9kyBkgnXGScw5SEk9C1Bo3Gdvays73foBvLL2K8ogmr3LsjZRQv20zW0KVvJBM0mfzkKhoZdeSHxBZdDu+uiO4Ezkec7Uy5C2iZMiNymfwzm1F5+wkoiGmebLs6m9mmm8VmbSH/mQIr+0gpi2KmbHqlaqqqpg5YwXh2mdYsek7VC38MYuuThAsPfYfF7u9kf37F+H3+xHvjAR6QpxhZi635jXz5zLH2VOciBpfDS1FLcwtsQITs1CjZxs216bLZU12bDv3JjLBIbz+RhIUFozPHgGgacUygkV1OHJ95A0/tkyU7kvAk0rRTxHU5EjknJi2NLrQB3CktmQGPHbaFvwQw58mfgIDbjY9+yzrmlaSchg0dexjuUqw3VNP9oCHJb+bQ030JR71erijIsYXq+5lUWAX9aU5yrND/Ky6hPcVl9MV384VPTV8sPVS9uXj7DY7eMr1Cp7yOD3GDfS6ZtCQL6dibxbfISvADUTsvHKoDeWwgtZtzy0lE3Wx494Q/nAdUxcfO7rZZvOzfNU9xI/MwBGKE127ilyqiNqZ1SdcVhPVohVz0SQ4WD2Hp5d+lP7Aal5c/AUWbNzO3/7r93jv009yf+sNFAUP8ssbP8jtM35Ahc/Dq2YKZ+9PyCknPdX/TMo9D0/kWRo6D/JSs2JJ83Lqel30F82gNfp+Xv2JA8eDQXxrFLniKKatjHTaCfYogbwB0Q6GDjvp3QVPV1WxtHUQTZ5NtX+iefmP+fSCH/NV9U3q/Vvpq+ileu5zBILdJJMe1PwnuHTLOg6Xz2bjjEUoM0Rz9b/iKd9O3+5zIA37dpxDWk0jHP0o973aSSQVwuXpoTi2CTP3+vyUTmcF8ZV5Qv99FYGmF5ix4o3Ns0cDPJks+Z2TplshzjA1553FzB/+JZVnTR/vrJwRfA4f91x1z2vvjcDro2+PcrmtGr10VZS8PUFRcAYDtj9x3UtPcsS5hf6PX8O0q68mqTpw2R4grYvwJLph5RCuZJY+dwntZXHiB12Umjkw3iTQS6TwlnQRK30Vo2I223YeZPHCN1/y+4ntnfyqNcOeoDWYYXXycSK2Yn6dvJKZwTAL5y1k1dACnuj8XyKqj6+ZIf4234rHiPO3vsu5/MAttHoeRafCaGWg8k6WZ6awp2cHNRf8CX/ZEPXxIgLbbyYa2kh6ySskOpvx9Jdii4XoiGaY40uSz5lMn3oVu/43yoJLrmD59bdgdzjfkF+bzcvQ+pvp3RIhHpnO4ivq8RdN/slym5qaeNC3mSSz8OQgETqAGprCK+d+k5bNt/OZX/8PAHmlqCi+ky1T1/Li1fPQgy+h8mkW7rmfjVMvB6WYvu85AvEUa2YbLGu109CVxWXro3bHw+xquoWW/VH8r5oMrYBSu5141IbhiGPaAqQjR0h0O7BlNcmD+5jRP4+B4GaWtzyMy58lsamFKXNamd7yb6/NXmvuOIe9gz5mLn6Q80of5zuBTxPMlDI7dRBj1Q68R2ax9chU8kY3/f3VNDZWcd+2TgwFN1xaR87Yj5nJYerXa+yczjIwIJJ+BQC3u+4N90wCvVNHAj0hzjC2YJBl//w5nM3N452VM5Lpf2Og57AXo/J2YsVbASgJzKTb/1PqjB0ccB4k8J7vYPq8uPNTcAYOQ2QWDmcXDi+4u9IcoIwBR5Cz9XoAlP312th0Ls0/b/xnPjbnY7T3D1Hls+bYG/S20b/1zQO97UcG+cKPH+USj53/SH+Y3+88j4Z8Bz9JX41pd7DdHWV3fg2zw/V8/PDV9JlJYm4b/2q20enu5dLIKvI5hUqVEh6KMz9ZSUVNiF2+e6lfuBVXKE3X5vdQ3LSG6KL/QOcNVG42wcaXWEiGtueuJqYrUI4UuYyLs666hPd84GqU8dYNSbXLZvDqMwMEiu0svrT+bZfTRGIYBlVNQbo2QdS7j7T3CJdddw7P39XG9uX/l7qZXTw/dICB/f0s3r+DmW0G+pGzmBm+lgfPTvFxz7f5IiupS73CbffvpyMEe6eHmHfITVkkx/5QimXtL7Br6o3EvfX0pw5ieyLK1HOT9EXTNJo5cr4ABzY9ikpbNWuru4LoxkdomXY/dk+G9ueaONReTVlrFmN6iJwDlkQXsrOjCz9BDh+aTU39q6zauonQkXqKl/wYsk7Kt9/GgHqB0uJyLrryarZG3Ty5d4gf3jiPRudWDqQfR8XBhue1++FwWJMmRwY3Ypo+7PY3dkOoqqrC6/VKoHcKSKAnxBnIs3DyLPw+2ZjBQqA3rOlWKYUjX0wyuBcAr6eBUm8pz+vnAajyFZY3MxzYawdhM5h1HRSZS3BnUyRMF+Ciz2bVYhjO1/vobevdxs+3/ZwaXw19h6soc0ewARl3N9EdnW+az4e2dHC1keNyfsaW7iqSOzt4wFNPNuBjZXYqA+YaBhpb2Xw4RbawKogzb8NLmKqYlw1mKxj78eccXOq4iGjL/Rxs+ldcgI4Y/HrNdcyffzNrH6+luOEQC5dcz1XLV/LIL7+LWflTbN4oScONYU+SzzgJhz0nNHp2+uomtq9/mQs+PAfTfub0Lrr4pqU87XuJujlLqK2tJRwOU1pWwh//ZRP7Xy1l0YzpHKmP0D10Fj0lJv5EHw7tZNa+KNlKB+WxHuav72RKD/z9tQYNgXKunHEzj+zdyvqWcm64XxGM7Ke/dBbbzyrj8t/dwbyLO9lTmKAiXtJNct0+wlE7JgrfnLV4mp/A3l2Lf+dVvJAeIl2uac+Wk+8yqUkUUaTmES35EfX+Waw9nKC6ZivnObfQ42jAX7eX4JGz2dz7Mvlyg4qyCpqammgCrpxbhWkoDrVVgKnJloCZeD1gczqtZyeXi+P3zxr152LevHnMmzdvTMrmTHfmPEVCCDEGjKM1eqUlx6Q7VSkoDdrA5aqhwmuNFnSZLsLDBk6Em60aFVtjOxVV78Wbs/q02XWafpv1x1DZXw/0IimrBm9T1yYc214l4xoAQHt6CXT1jprHI3sG2LyxlfPt7QTjPmq93ydQcQGJ6jqq/BHsK/6B4nMeZ2rdXmbVPci01nbK26dQeqCE1QZcVj3IrHwK21A/ztZt7Cu/i76mexnYv5jf/+krfHTdD3FPvYpPXbeAT9+yHN+zu+i++06e+Ol/sf3xZ6xrcKbAZmLYU+QzzhOeIqWsLsDHfng2VU2hE9p/sgiGA7zn/ecxb948wmHr56GsLsDVn19IeX2Ajp39JLenMIqjmA27WfjSdyA/SHWrj6T6DKWHY1z9wBNsbihh/TTFxTWzadvZT95p8OqUYja0zCY8sJuou4r00tWYQ4rpQ+1s1k60hmTZDgb756D7DFTFdOxTXiTZ3kTZy1/h8UgKDJNARy8qnUVpg2WqibbYTopnzGDhTVeTz7iId9QTqnuRUONalC3Huk4/2zLWSqSlFZWvXatpWGXtdFo1dzisPphHGYYDu92aN2+0ZltxakmgJ4QQJ8HZUI9nyRI8S5cek+5yWLV2jmwJhmF/LdCr8lUdE+RUNZRQe/73KGsaJFx/Lv7CAj/1Q23E7NbceIYjRTZt1cRE0lagt7FrI+UHDpIvrAFqcw8QTr9xGpbO/YP87h82cumBQZrN/6E1eyWPOjazx5+guKiLqXMfgGiKdU+fTduz5QSqhyidto9gy2781/ycobPvoK/5dxSd+xuWzXmCxhs2Ypv3FJHWBqJ73kvFkYf5dAv84M+sQT/NS1Zw/de+Sz6f5+WH7qO6yVrRQjkTGLYchs0K9E6GMibvvHknq6TGxxWfmset31/Nbf96LrMuLqIjcYTnrria+oPPUTzo4PLV7+HqJ+4nGBti/dWzOTvk4eL6Czm8ox93vQ9tKHqbphKM7EajqDBLOFheRWazScTtJRYtQhfv4VDoHIycQcdlFdhdUVy75vCAYyMxUlyYmcv00HTcBzazeGAxYeVnR+RFmudeSjhcRHHWRXvHDEx7krI59xKLhumJB0jVWEv7VUypfcO1uZyvB392+7FrmR0NAiXQO/2k6VYIIU6C4fVS9/OfvSHdO2UmtD6Mr9hat7PCYwV6lb7KY/bzuBvwlPyUYPC9OFzFlOQ6AKjv6iAZsmr7DHuSVDyLzWG+VqPXGe+kJJJgwGlN12La0jicbxy00dseRecGqSh6gUf6Pkm8KE08uI8lFW24KrZg6y9l7288PFUxj4BxIbfsf5Dw8rWUs59DfZX88eVLiLd5WF0fp2TKZlID5fTtLCfdWU1/213MWrSUq2+98pjgtW7OfD709/9G66svUz9vIU8+9XsMRwJ7OonNniKddrwhn+KNDEOxaNEiNmzYwJbqEqat+wMKxf41+1iwdRsH6upYXF/LtPIEjvwcIt0vs+rcatYtL8fe/Bf8MnM7vjgE25O8MHs+7322jdK5dob6K/DW7EDZ3KxZdgu+OU9RPFjBTl1MzEji62/BttTHvC3zCJXaKHMoOhMHaJ+aZnqN1Q2kKGWwMxaifsCDPRSnq6MJX9sBknVTyeZyFJeUvOF6XqvRA+zO0Bu2RaPb8Uigd9pJoCeEEKeAx2PVaHiD1iCYozV61d7qEfvVA+APzAGgOXmE6156ktJYH9sKa30qR4pkLIM35Hwt0AMw8x5MZ5RMxoHdniZblKA/libsfT2Q6trXTjx2F7mSMsLn301lsBvDyKNSCs+2FnIbYPYHP8wnfA18b00P/739Bq7rr+f+WAPnmb3Ubl7DoemX8puDNVy8/TqGwjm+8NVz0fkEmx6uZ8GlV47aDGt3umheYtXy5VNuDEeciv5ubLYUyfTJ1ei9m/l8Pm6++Wb++yc/YV9TKd7oYbb94SAL7Xa2X7mQT5zzWTp3xXn0x3sAmNJSRLHbCTU1VM6bTf9LQ2T2e/nDORcTjA3SbOxnsG8KlbV5isMv0VdbTJVrP52t5xE1MvgSg1RVNLLglsVsu2s7NVtaMJXJU/1r+PLf/z9sRiFMyEaZl6lnf8d8Grwb8O2fQWRoPVde8nH2HjpMMBh8w7U4HCWgFSiN3V18zDanowyQGr2xIIGeEEKcAi63FdB53A3A64HeyBq9YHABFRXXUFZ6KQBem4PSvghgYiqrhs6wpehqjVBc7SOSiuC3+8nqHEm7D4cjQU9fOWUlR0iHouzpGGLJ1Nf/iB5Yv4ZwfZiO6iSloU6iBxcztCPK7v1TOGv+IS787z+g7HaWAtecr/mnR3fx3Sds/N21c7hxYRX3/kMcXn6I6kApgytv4a9uOQ+3yw44WHnD+07oXuTSbkxHgvLYIKaZI5c6ueXa3u2qq6u5+r3v5cknnmDqy+3sdi/B9YFP8oW//Au2PnOYp365E3+xi/M/2EJx9euDHFavXs09m56i/5CPuU4395/9US4f/Ed6Ii6a8wahqjWEpvSjkwH29JTTNOTiidBOls8oQpkGTTe18Lm1j3JRupeniqfxsWFT4Oh5tQys2cDczJX0Hb6QtN5L05LlzFm4mPlLl496HUqZ2DMeMo4Yds+IPq1Hm249b2zyFaeWBHpCCHEK+H2zqa66hdLSCwGoDVh/wBoCDcfsZ5oeZs38h9feuz1Wx3yVN/Hm02itUPYU7TvbmbGqmkg6QtgVxm8vJeEzcBt52lNeyoCcf4A9e/uPCfT6BiPMckKu/kUG+qswN1/L1x0+zj37WWZfdwnK/nrQpZTi8xdP533L6qgIWvPVXfVX/4dtzzxB87JVeAJvrKU5EfmUC7tvgGAmCUAuI4HeyZo7dy5z586l75Vd7PnPgxwsW0VdXrPxkYOU1Qe49osLMc1ju9nX19cTboKhHX0s2lvMkj1ZbA1n02pbx9BgCcGWvei84tVXLsbTk+ZQ369xFp1P9XTrZ9DpMNkYbuaZZDmXzzp2eqaiympeqNrLQNt9lOCj58pb+OAN5xz3Ouy5ABli2H1lx6RXVl6LzebH6Sh/kyPFqSKDMYQQ4hQwTSctLd99raaiMdjI3VfczXm1573lcYEyq+nKyDkJZFLorAPTnmKgvQeAwdQgQWeQFkcVaZ81Gjdl06SSHvLePjoPdL12rmwiQb4yyxF/EIc7hj68hKdqvFxQtIb3Tn2SsrLLR83D0SAPwO5yMe+iy992kAeQTzmx21O4Cy28mbQEem9X0bxpTF9ZzY4Xu9nx/BEGuxMsuKj2DUEeWIH7xZefT/HCOIf+fAo/vcCP789uIuHpZGDAqlnu3recZKSS5eu3src6SUmsmsphI5yn1xYzZA+waMaxgZnP50PbHdzbeB3fLz2P0poTa3J1uqzPdYWPXf3C7a6ltvYjJzwaW7x9EugJIcRpMqtkFoZ661+zgRJr1KLWDnzpHDrjRNnSJPr7ATB7NV997kNMPxIk540B4Ml6SSf84OnH0b/htXOtvfteinSEqmmbSadd7E8soDi+hlsW/Zba8gswzbHpK5dLOrE7kpiFroOpkxx1K4614MJaspk8T99lNdk2zn/jwIej6urq+NCHPsSSKcV0ljo4tySIDjiJtc1n77ZV7GyfSnlUUdTfSoltBcW2MHaH+drxs+pCAMysPjbQnzt3LpdddhllZeVEbT4qg8euTftmfFOspQNH9tETY0cCPSGEGEe+Qh++hMOFO+0gn3Vis6UxUgMA1HVUEMx7aDpQTM5jjbgNdDeQifkx3QMUJ/a/dq5fRNopV1Wo0t30HG4kYtvJ8nn3obWfWbM+PWbXlE05UEqjfFEAMtkTCwrE6IqqvNTNKSaf18w7fwrGKLV5I11XHuaF5TOodjmYPedyAuki2nsaCeW9VHS+TM7hwGGrJlwaOua4S2dXcOmsCqaV+49JDwQCLFu2jMYyq0/g8Frgt+LxNGIYTuz20HH3FaeHBHpCCDGOnE6rtivpVTiSPnTGgc2WIam9/PJrX6AoaTWRlSTr0C4rcEq3LyId82J3xvEnDLK5PHsP9bNu6lzctYdRSpPZ4uGspj+ibFkWLvgZLmfFmF1TtjCdiuEbAMB0j91nn6mWv7eRqQtKmbGq8vg7A4ZSVLmsclhcO59A1vp+abaZ0r2H6Q1VAYq65mPPN7cmxI8+sAiHbfTwYGZVALupmBL2jLp9pKqqG1i+7CFM88T2F6eeDMYQQohxdDTQU4FBnANudNiBzRkjSoivnvd+fryuj4wCu3aBc5Bc2kkmWk4yZh2nleLQ8//J/+1r5L2tWxiqfxEdKaZsxQ7sjgTVoW9RXDx3bC9KFVYP8fYBUD1dlrJ6p0pq/Fx625y3dey08DR0Zg8XG/MoSir0QIQDs6dgy/iYOrfmpM5185JaVjQWE/ScWL9Lw3DgdsvI2vEkNXpCCDGOysrKmDNnFoHqPTiGnOSzdkxbmryhCcbz1CbtPFVmktJDmM4o2aQHf81GOjPW8fnqOLYH7qI9C0WJDrz+PhKtYTwlNpaedS8tK05sSpRTqaTGGrHp8kTQWtEyd8GY50G8rsRdQlIlqM2XMJQ8AkBfcRF5V5yiovBxjj6Ww2bQPKJZV0xsEugJIcQ4cjgcXHfdDZSbcZJpRTZnNd3myVATyRHOKPp0L33ZrTicCbJJN86yIYbcbgb7K7BPfYY/Dn6FOfvbCJbtQ2tw1QyydOmv8ftnjss1NS9aDYDLNUQu46B2Sum45EO8LuWw/jM4YnaTttvpKy7mxhtvxO2W/pNnOgn0hBBiAig26jnscJPL2q1AzxZhVl8WADO6jQO5NhyOOKmkg9rpiyhymWS2LsDujOOZ+WvKo21Ulx0i2VFGw5yb8Pmaxu1aqmqmA2AYmlzWid0uvYTGndf6c5+YUcy9117DVe97Hy0tLeOcKTEWJNATQogJoNq/kF3lXjKFTvPa00lLawKAkvo8hw2Nw5GkO6NpmX0WZYbBwYyNWH81FVM3sGDew5iefrra6pnd/InxvBScHj/ZwpQq+cyJjc4Up1do5hTSOsWF11/Hl7/yFWbPnj3eWRJjRAI9IYSYAIrC02irdRLPW53cc95+6tD0meA5nCDpN1BKM5QvJhwOM7VyNg0rHqNszzXY7Wn8hknulYsYyCwcs/ny3koubTUJ5mUOvQlhxdVXUv+d8yguq3htAJB4d5gUgZ5SaqZS6nGlVFwp1a6U+rZSyjyB44JKqZ8qpfqVUhGl1C+VUjJroxBiwgmHi8GTZ0hb01CY9jROs52DRhwj040tYPWxyqcCGIbBrJbL8WDi7Syj8Yl/oXnt37Hz0EX82c03jedlvCafdhW+SlAxESilMBzH/bMpzkATPtBTSoWBxwANvBf4NvAF4FsncPivgXOBjwK3AkuAP5yGbAohxDsSDofxZpPE81bTbSDQxVDoCIn4HmJGFL+/F4B0ypq6JNTUSHH+Hzng6MKRC9CT62TRtWWUN02MqSzyhRo9XZhTTwgxPiZDD9mPA27gWq31IPCoUioAfFMp9YNC2hsopVYAlwDnaK3XFNIOAy8opS7UWj82RvkXQojjcjqdeLIZInmrRq+peT00r2foydX0xk2C/nYycR8OnzWCVSnFkisu4O5tR6AP9vqTXL18xXhewjFyyUKNXkYCPSHG04Sv0QMuAx4eEdDdjRX8nXOc4zqPBnkAWusXgf2FbUIIMaEEtMkuWyWb1n6ArrVXkM3aSVdupycTJhDoIt5TTzhQ9Nr+SinOuvFctrvbmX/tMmy2ifO/ez5VGIyROrGJdYUQp8dkCPRagB3DE7TWB4F4YdsJH1ew/TjHCSHEuCi1h7AruH1oCft3exjor8RXH0cFTFzuOPHeGkpCxy5oX1M/hQv/5kaaZk8bp1yPLlsI8LKZiRN8CvFuNBkCvTAwMEp6f2HbqT5OCCHGRbkrSN60OszHQpr44YU4XQkqqvcBMNRXRUXRG9eNVUqNaT5PRDaVt75msuOcEyHe3SZDoAfWQIyR1Jukv+3jlFJ/oZTaoJTa0N3dfZJZFEKId6Y24OfVqhZs3jydU4OkD1l97qqrt6JzBoORCkqLJscqE52pcvJ5RV+ueryzIsS72mQI9PqB0CjpQUavsTvecaE3O05rfYfWerHWenFp6eT4ZSqEOHPUh4NE/MXcuuo3rJm5klzMR7IviN2eJd1XRcYwaGxsHO9snpDPfuEHGM/8GZ/54t+Nd1aEeFebDIHeDkb0qVNKTQG8jN4H702PK3izvntCCDGuppZYAy26KWfQCKFyCTIHpwCQ6G0kY8tht0+OwQ2mx80F3/oWyiGjboUYT5Mh0HsQuEQp5R+WdhOQAJ4+znEVSqnVRxOUUouBxsI2IYSYUCr9PpTOsw9rndqskSK3rxmAWM908vbkeGZPCDEJTYZA70dACvidUupCpdRfAN8Efjh8yhWl1B6l1H8ffa+1Xgs8DPxMKXWtUupq4JfAszKHnhBiIjKUwpNOsjMzC4CELU2iZxref3Iy1L6YtJEa5xwKISabCR/oaa37gQsAE7gPa0WMfwK+MWJXW2Gf4W7GqvX7CfAz4CXgmtOZXyGEeCe82RSDDqsBY8ieIWP34m71AgYpMz2+mRNCTDqTYoIjrfU24Pzj7FM/StoA8OHCSwghJjxv1lrTVuk8qBgpRzFZm7WcWMYmU5UIIU7OhK/RE0KIdxNf4deyJ50gryFn85I1reXEcmZuPLMmhJiEJNATQogJxKd9AHijmnwOUCZpZxCAvAxgFUKcJAn0hBBiAgnbPACUDdlQ2qrBG/SWA2A45Ve2EOLkyG8NIYSYQEKFJdCCcY23yGqy3TZ7KQBuj3Pc8iWEmJwk0BNCiAkkbLMCPTOTJ1Rk1e6ZOSvg83rd45YvIcTkJIGeEEJMIM0hD0WRLHaXQVHI6q9nFAK9olBgPLMmhJiEJNATQogJpDzoIr6uk8piD5VlYcCq0cuTpzRcPM65E0JMNhLoCSHEBOK0Wb+WywNOaipKATC0jZyRpryoZDyzJoSYhCTQE0KICcRZ6KNXEXBRVFZCprDsWcZMUewvGs+sCSEmIQn0hBBiAin1OVEKppb68BcFSNriAKRscUq9wXHOnRBispkUS6AJIcS7RW2xh2e/fD7VITdaa5JmAj9hErYYxR4ZjCGEODlSoyeEEBNMdciaRkUpRdKWBCBtpvDYZXoVIcTJkUBPCCEmsPTRPnpGGqXUOOdGCDHZSKAnhBATWKoQ6KWN7DjnRAgxGUmgJ4QQE1jayACQLXwVQoiTIYGeEEJMYFllBXgZlRvnnAghJiMJ9IQQYgLLFZpscxLoCSHeBgn0hBBiAsubeQByKj/OORFCTEYS6AkhxASm7BqAvCGBnhDi5MmEyUIIMZH5Uzw59S5SDnO8cyKEmISkRk8IISYwr93DzrIXcJiO8c6KEGISmhSBnlLqY0qp3UqppFLqJaXUBSdwzGKl1J1KqZ1KqbxS6s4xyKoQQpxSPocXAI/pGeecCCEmowkf6CmlbgZ+BPwMuAzYCvxJKTX7OIeuAlYD64GO05pJIYQ4TQIua31brwR6Qoi3YcIHesC3gP/RWn9Ha/0kcCuwB/g/xznudq11k9b6/UD7ac6jEEKcFkVFFQAE/MXjnBMhxGQ0oQM9pVQjMA34zdE0rXUeuAerdu9NFfYTQohJraVuCcmOK5nTcPF4Z0UIMQlN6EAPaCl83TEifTtQpJQqHeP8CCHEmPI5nWT6VxNwecc7K0KISWiiB3rhwteBEen9I7YLIcQZqSroxlBQE3aPd1aEEJPQmM+jp5QKApXH209rPbwWT488zZukvyNKqb8A/gKgtrb2VJ5aCCHeltpiD+u/eiHFPud4Z0UIMQmNx4TJNwD/7wT2U7xecxcCIsO2hQpfB05VpgC01ncAdwAsXrz4lAaRQgjxdkmQJ4R4u8a86VZr/WOttTreq7D70Vq9lhGnaQH6tNbdY5dzIYQQQojJZUL30dNa7wN2YdUCAqCUMgrvHxyvfAkhhBBCTAaTYa3bbwK/UEq1As8BHwKagfcd3UEpdQ7wOHCB1vrpQlopcE5hlzBQp5S6HkBr/duxyrwQQgghxHiZ8IGe1vpXSikf8GXg61grY1yptd4ybDcFmLw+SANgFtZ8e0c1AucO218IIYQQ4ow24QM9AK31/+MtBnBorZ9iRPA2WpoQQgghxLvJhO6jJ4QQQggh3j4J9IQQQgghzlAS6AkhhBBCnKEk0BNCCCGEOENJoCeEEEIIcYZSWstKX6NRSnUDB07zx5QAPaf5M8SJk/KYWKQ8JhYpj4lDymJimSjlUae1Lh2ZKIHeOFJKbdBaLx7vfAiLlMfEIuUxsUh5TBxSFhPLRC8PaboVQgghhDhDSaAnhBBCCHGGkkBvfN0x3hkQx5DymFikPCYWKY+JQ8piYpnQ5SF99IQQQgghzlBSoyeEEEIIcYaSQG+MKaVmKqUeV0rFlVLtSqlvK6XM8c7XmU4pdatSSo/y+viwfZRS6itKqUNKqYRSao1Sav44ZvuMoZRqUkr9l1LqFaVUTin11Cj7nND9l2fonTvB8mgd5XnpGGU/KY93QCl1g1Lqj0qpw0qpqFLqJaXULSP2kWdjjJxgeUyqZ8M21h/4bqaUCgOPAduA9wJTgX/ECri/No5Zezc5H0gMe79v2Pf/B/g68EVgB/B54DGl1Gyt9RseYnFSZgGXA+sAx5vsc9z7L8/QKXMi5QFwF3D7sPfp4RulPE6JzwP7gc9hzcV2OXCXUqpEa3303suzMXZOpDxgMj0bWmt5jdEL+L9APxAYlvYlID48TV6n5d7fCmjA9ybbXUAE+JthaV6gG/jueOd/sr8AY9j3vwWeejv3X56hsSmPQnor8A/HOY+Uxzsvi5JR0u4C9he+l2djApVH4f2kejak6XZsXQY8rLUeHJZ2N+AGzhmfLImClUAA+M3RBK11DLgPq9zEO6C1zh9nlxO9//IMnQInUB4nSsrjHdJaj7aiwstAWeF7eTbG0AmUx4maMOUhgd7YasGqdn+N1vogVoTfMi45evfZq5TKKqV2KqVuG5beAuSA3SP2346UzVg40fsvz9DY+nOlVFopFVFK/VYpVTdiu5TH6bESq8kP5NmYCIaXx1GT5tmQPnpjKwwMjJLeX9gmTp8jWH1cXgRM4BbgR0opj9b6n7Duf1RrnRtxXD/gUUo5tNZpxOlyovdfnqGxcy9WH742YAbwDeAZpdQcrXWksI+UxymmlLoAq0/XnxeS5NkYR6OUB0yyZ0MCvbE32sSF6k3SxSmitX4YeHhY0oNKKSfwNaXUvxzdbZRD1VtsE6fWid5/eYbGgNb6s8PePqOUeh7YBHwY+Ofhu45yuJTH26CUqsfqD3av1vrOYZvk2RgHb1Yek+3ZkKbbsdUPhEZJDzJ65C9Or98CRUA9Vtn4Rxn6HgLiWuvM2GbtXedE7788Q+NEa70F2AksHJYs5XGKKKWKgAeBg8D7h22SZ2McvEV5vMFEfzYk0BtbOxjRNq+UmoI1gmrHqEeIsaCx7r8JNI3Y9oZ+FuK0ONH7L8/Q+BteGyHlcQoopTzAn7CmurmiMNjiKHk2xthxyuOtTMhnQwK9sfUgcIlSyj8s7Sased2eHp8svatdhzVP0gHgeWAQuOHoxsLDfhVWuYnT60TvvzxD40QpNRuYDrw0LFnK4x1SStmAe4Bm4DKtddeIXeTZGEMnUB6jHTOhnw3poze2fgR8BvidUur7QCPwTeCHI4Zgi1NMKfW/WAMxXsX67/imwuszhakmkkqp7wFfV0r18/qkpAbHToop3obCH6bLC2+rgYBS6vrC+we01vETvP/yDJ0CxysP4Dys5qo/Ae1YNRNfw2rGunPYqaQ83rn/wCqLzwJFSqnlw7a9rLU+0d9NUhanxluWB3Ahk+3ZGO/JCd9tL2Am8ARWVH8E+A5gjne+zvQX8LdYfSjihXv/EvCBEfso4KtYI6kSwDPAgvHO+5nwwuoHqd/kVX8y91+eodNfHsBc4HGsSXkzQAfWH7EqKY9TXhat8mxMnNfxymMyPhuqkBkhhBBCCHGGkT56QgghhBBnKAn0hBBCCCHOUBLoCSGEEEKcoSTQE0IIIYQ4Q0mgJ4QQQghxhpJATwghhBDiDCWBnhBiUlFKfUQppZVSNSPSv19If/+I9IsK6SvHNqdvpJS6Uym1YZzz8CWl1LmjpGul1F+OfY6EEKeTBHpCiMnm+cLXkYHbSqwJsUdLT3Hs8kTvZl8Czh3vTAghxoYEekKIyWYH0MewgE4pZQcWAT9j9EBvg9Y6NWY5FEKICUICPSHEpKKt5XzWcmxAtwBrmaj/AOYcXUhcKWUAyyjUAiqlrlBKPaqU6lJKDSql1imlLj56EqXUeYUmzFnDP1MpFVZKpZVSHxmWtlop9bRSKq6U6lVK/b8RC5ifEKVUrVLqbqVUX+FcDyulpg/bXl/I041Kqf9SSkWUUm1KqW8Vrm/4uW5QSu1WSiWUUk8qpRYUjr21sL0VKAa+UUjXI5pxTaXU3yqlugv36N+VUs6TvSYhxMQhgZ4QYjJ6HpivlHIX3q/AaprdAgxgBXcAs4Ag8FzhfQNwH/AB4LrCeR5USq0qbH8aa03KG0d83jWFr78HKOz/ONY6l9cDf4W1EPpPT+YilFJFwLPAdODjhc/1Ao8Nu7ajfgBEC5/3C+BvCt8fPddi4G5gYyG/fwR+Pcp1RID/xrpnKwr7H/UFoApr0fa/B27DWtxdCDFJ2cY7A0II8TY8D9iBJcAarNq9tVprrZRaV3j/GK/X+j0PoLX+t6MnKNSGPYkVDH4EeE5rnVdK3QPcBHxj2OfdBDyite4rvP8e8LzW+qZh5zsMPK6Umq213nKC1/E5rMBu/tFzK6Wew1pY/c+Bfx+27xqt9RcK3z+qlLoUuBb4TSHty8B24OZCredDhSbt7x89gdb6ZaVUFmjTWq8bJT+tWutbC98/XAhor8UKMoUQk5DU6AkhJqMXgSyvB3IrsZpzAdaNSN+tte4GUErVKKX+pxCUZYEMcDEwbdi5fw1MV0rNKxxTApxfSEcp5cGqCfuNUsp29IVVM5fB6it4oi4EHgUGh51nCKt2cvGIfR8Z8X4bMHzk8RLgvkKQd9QfTyIvJ/IZQohJRgI9IcSko7WOA5uAlYVpVmp4PdBbCywv1NitpNBsW3j/x0La3wDnYQVHDwKuYadfCxzEqsUDq4k3C/yh8D4MmFj9ATPDXimsWsYpJ3EpJYXPyYx4nTfKeQZGvE+PyHcF0D1in5Hvj+d4nyGEmGSk6VYIMVk9D7wPK3Br1VofKaS/APiBc4AmXm+6bMIatHGZ1vqhoycZ2Reu0Pz7G6wA7CuFrw9qrYcKuwwAGvgm8MAo+Wo/iWvowwo+vzPKtqFR0t5KB1A6Im3keyHEu4wEekKIyeo54DPAh3i9Ng+t9ZBSaivw14Wko/PuHQ3oXptmRSlVB6wCXh1x7ruBv1ZKXYkVMN4y7PyxQj/A6Vrrb7/Da3gcawDGVq114h2eaz1wlVLqK8Oab98zyn5SSyfEu4gEekKIyeroSNrLeOPI0LXAx4B+rAEKYM2/1wb8o1Lq61i1ft8CDo88sdb6JaXUHuAOIAH8acQuX8IaeJEHfotV+1YLXAF8VWu96wSv4YdYI1yfUErdXshLOVZw+azW+lcneB6wai5fAO5WSv0UmIF1DwDyw/bbAVyhlHoIaxTvzmG1lUKIM4z00RNCTEpa68NYfekUw2r0CtYeTT9au1WYMPlarP52v8VqLv07rClVRvNroBJrgEN8xGc/C5yN1TT6c6wpW74EHAI6T+IaeoDlWMHXP2ENhvgB1pQwI2sZj3euDVg1j4uw+hNeB3yisHlw2K5fBGLA/Vi1gCczeEQIMcmoYwdoCSGEOFMU1v39OdCotd4/3vkRQow9aboVQogzhFLqP7Gma+kHFgJfA+6XIE+Idy8J9IQQ4sxRjDXtSzHQi9X8/KVxzZEQYlxJ060QQgghxBlKBmMIIYQQQpyhJNATQgghhDhDSaAnhBBCCHGGkkBPCCGEEOIMJYGeEEIIIcQZSgI9IYQQQogz1P8PBOXd87RStAgAAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sample = mars_data[::1000]\n",
+ "x = np.arange(0, 255)\n",
+ "\n",
+ "for i in range(sample.shape[0]):\n",
+ " plt.plot(x, sample[i, :])\n",
+ "plt.xlabel(\"Wave length\")\n",
+ "plt.ylabel(\"Measured value\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e0c68ea6",
+ "metadata": {},
+ "source": [
+ "#### 3.2.4 Data standardization"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "aff045da",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.preprocessing import StandardScaler\n",
+ "\n",
+ "ss = StandardScaler()\n",
+ "mars_scaled = ss.fit_transform(mars_data)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "7cf6df8d",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Visualization of different wave length distributions after standard scaling\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "print(\"Visualization of different wave length distributions after standard scaling\")\n",
+ "\n",
+ "for i in range(6):\n",
+ " plt.subplot(2, 3, i + 1)\n",
+ " plt.hist(mars_scaled[:, plot_index[i]], bins=100)\n",
+ " plt.xlabel(\"V%i\" % (plot_index[i] + 1))\n",
+ " plt.ylabel(\"Frequency\")\n",
+ " plt.tight_layout()\n",
+ "\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "765a907f",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "Data are now centered around zero with a spread (standard deviation) of 1"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "aa867370",
+ "metadata": {},
+ "source": [
+ "### 3.3 Dimensionality reduction\n",
+ "\n",
+ "#### 3.3.1 Conduct PCA"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "58132786",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.decomposition import PCA\n",
+ "\n",
+ "pca = PCA()\n",
+ "mars_pca = pca.fit_transform(mars_scaled)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "473e5a13",
+ "metadata": {},
+ "source": [
+ "#### 3.3.2 Visualize explained variance"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "d01d15d8",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.8601374108749605\n"
+ ]
+ }
+ ],
+ "source": [
+ "explained_variance_ratio = pca.explained_variance_ratio_\n",
+ "\n",
+ "n_bars = 20\n",
+ "x = np.arange(1, n_bars + 1)\n",
+ "plt.bar(x, explained_variance_ratio[:n_bars])\n",
+ "\n",
+ "plt.xlabel(\"Number of components\")\n",
+ "plt.ylabel(\"Percentage of explained variance\")\n",
+ "plt.show()\n",
+ "\n",
+ "print(sum([explained_variance_ratio[i] for i in range(3)]))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "afe4acfd",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "The first three PCA components appear to be explaining most of the variance in the data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "15ef4729",
+ "metadata": {},
+ "source": [
+ "#### 3.3.3 Variable factor map"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "4290cb31",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "coord1 = pca.components_[0] * np.sqrt(pca.explained_variance_[0])\n",
+ "coord2 = pca.components_[1] * np.sqrt(pca.explained_variance_[1])\n",
+ "\n",
+ "fig = plt.figure(figsize=(10, 10))\n",
+ "ax = fig.add_subplot(1, 1, 1)\n",
+ "for i, j, nom in zip(coord1, coord2, mars.columns):\n",
+ " plt.text(i, j, nom, fontsize=10)\n",
+ " plt.arrow(0, 0, i, j, color=\"r\", width=0.0001)\n",
+ "\n",
+ "plt.axis((-1, 1, -1, 1))\n",
+ "plt.gcf().gca().add_artist(plt.Circle((0, 0), radius=1, color=\"b\", fill=False))\n",
+ "\n",
+ "plt.title(\"Variables factor map - PCA\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3119be95",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "Most of the wave lengths have projection on the first two PCA dimensions with norm 1.\\\n",
+ "Most of them are represented entirely by component 1, other entirely by component 2.\\\n",
+ "Some isolated wave lengths are not well represented in the first two PCA dimensions."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "26955b8b",
+ "metadata": {},
+ "source": [
+ "#### 3.3.4 Individual factor maps"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "9005489b",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(10, 10))\n",
+ "\n",
+ "plt.scatter(mars_pca[:, 0], mars_pca[:, 1], s=1, linewidths=1)\n",
+ "plt.title(\"Individuals factor map - PCA\")\n",
+ "\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "efe72fd5",
+ "metadata": {},
+ "source": [
+ "##### Interpretations\n",
+ "\n",
+ "It is hard to distinguish visually the five groups identified by experts.\\\n",
+ "Two, three groups appear to be clearly present in the data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "914979de",
+ "metadata": {},
+ "source": [
+ "#### 3.3.5 Reduce dimension to three"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "f04b7c35",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "mars_reduced = mars_pca[:, :3]\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "25c25c3a",
+ "metadata": {},
+ "source": [
+ "## 4. Clustering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d1b8020d",
+ "metadata": {},
+ "source": [
+ "### 4.1. K-means"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0499c35a",
+ "metadata": {},
+ "source": [
+ "#### Additional imports "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "d1fe2f10",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import KMeans, AgglomerativeClustering\n",
+ "from sklearn.metrics import silhouette_score\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "650aba6a",
+ "metadata": {},
+ "source": [
+ "#### 4.1.1 Choose the number of clusters\n",
+ "\n",
+ "Either use the elbow method or the silhouette method"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "edbac1f5",
+ "metadata": {},
+ "source": [
+ "#### 4.1.2 Elbow method"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "1df27f92",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "inertia = []\n",
+ "for k in range(1, 11):\n",
+ " kmeans = KMeans(n_clusters=k)\n",
+ " kmeans.fit(mars_reduced)\n",
+ " inertia.append(kmeans.inertia_)\n",
+ "inertia = np.array(inertia)\n",
+ "\n",
+ "plt.scatter(range(2, 11), inertia[1:])\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1470a547",
+ "metadata": {},
+ "source": [
+ "#### Interpretation\n",
+ "\n",
+ "Choose K=5"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "aaec9ce2",
+ "metadata": {},
+ "source": [
+ "#### 4.1.3 Apply K-means on PCA reduced data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "b2e92da5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "kmeans_pca = KMeans(n_clusters=5, random_state=0)\n",
+ "clusters_pca = kmeans_pca.fit_predict(mars_reduced)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4a825e1f",
+ "metadata": {},
+ "source": [
+ "#### 4.1.4 Display results on individual factor map"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "6500d1f0",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(mars_pca[:, 0], mars_pca[:, 1], c=clusters_pca, s=1, linewidths=1)\n",
+ "plt.title(\"Individuals factor map - PCA\")\n",
+ "\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "73e7aa0d",
+ "metadata": {},
+ "source": [
+ "#### 4.1.5 Display the image of MARS geological composition found by clustering"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "12093013",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n_pixel_x = 300\n",
+ "n_pixel_y = 128\n",
+ "\n",
+ "mars_image = clusters_pca.reshape((n_pixel_x, n_pixel_y))\n",
+ "plt.figure(figsize=(10, 10))\n",
+ "plt.imshow(mars_image, interpolation=\"nearest\", aspect=\"auto\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "42036349",
+ "metadata": {},
+ "source": [
+ "#### 4.1.6 Curve representing the wave lengths of the centroids"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "f1ceca9a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = np.arange(0, 255)\n",
+ "for i in range(5):\n",
+ " plt.plot(x, np.mean(mars_data[clusters_pca == i], axis=0))\n",
+ "plt.xlabel(\"Wave length\")\n",
+ "plt.ylabel(\"Measured value\")\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6a6f785c",
+ "metadata": {},
+ "source": [
+ "#### 4.1.7 Repeat the process with complete data and compare the results"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "9f9ea693",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "kmeans = KMeans(n_clusters=5, random_state=0)\n",
+ "clusters_full = kmeans.fit_predict(mars_data, 5)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cf958021",
+ "metadata": {},
+ "source": [
+ "#### Import and use external metrics"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "0a910a4d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[ 49, 662, 118, 0, 4331],\n",
+ " [1699, 0, 0, 8474, 0],\n",
+ " [ 0, 8361, 866, 0, 50],\n",
+ " [4527, 0, 8, 748, 958],\n",
+ " [ 0, 66, 7483, 0, 0]])"
+ ]
+ },
+ "execution_count": 22,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import confusion_matrix\n",
+ "\n",
+ "confusion_matrix(clusters_full, clusters_pca)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "8075c617",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Normalized Mutual Information score: 0.7420448071402478\n",
+ "Fowlkes Mallows score: 0.7830336140166589\n"
+ ]
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import normalized_mutual_info_score, fowlkes_mallows_score\n",
+ "\n",
+ "similarity_nmi = normalized_mutual_info_score(clusters_full, clusters_pca)\n",
+ "similarity_fm = fowlkes_mallows_score(clusters_full, clusters_pca)\n",
+ "\n",
+ "print(\"Normalized Mutual Information score:\", similarity_nmi)\n",
+ "print(\"Fowlkes Mallows score: \", similarity_fm)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "7617905b",
+ "metadata": {},
+ "source": [
+ "##### Interpretations\n",
+ "\n",
+ "The scores obtained with both external metrics are high, meaning that the classifications obtained are similar with and without PCA."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2ec5fd6c",
+ "metadata": {},
+ "source": [
+ "### 4.2 Agglomerative Clustering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6871c039",
+ "metadata": {},
+ "source": [
+ "#### 4.2.1. Choose the number of clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "b08d8309",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Take only a fraction of the initial data to debug.\n",
+ "mars_reduced_samples = mars_reduced[::10]\n",
+ "\n",
+ "ac = AgglomerativeClustering(n_clusters=5, linkage=\"ward\", compute_distances=True)\n",
+ "clusters_ac = ac.fit_predict(mars_reduced_samples)\n",
+ "\n",
+ "distances = ac.distances_\n",
+ "\n",
+ "n_sizes = 20\n",
+ "x = np.arange(n_sizes, 0, -1)\n",
+ "y = ac.distances_[-20:]\n",
+ "\n",
+ "plt.scatter(x, y)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "108f9bd5",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "In this plot, the first point is much higher than the other, making the y-scale of all the interesting points too small and making it hard to discover the elbow. $\\rightarrow$ Remove the first point."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "866ae33c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n_sizes = 10\n",
+ "x = np.arange(n_sizes, 1, -1)\n",
+ "y = ac.distances_[-n_sizes:-1]\n",
+ "\n",
+ "plt.scatter(x, y)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d7c28be7",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "In these plots, either three or five appear to be a smart choice for the number of clusters. It does not allow us to decide precisely what is the right number (maybe it does not even exist). However, it gives us the right range compared to what experts said (not 20, not 100). "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "53314ab4",
+ "metadata": {},
+ "source": [
+ "#### 4.2.2. Visualize agglomerative clustering"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "72dd0f29",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 26,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(\n",
+ " mars_reduced_samples[:, 0],\n",
+ " mars_reduced_samples[:, 1],\n",
+ " c=clusters_ac,\n",
+ " s=1,\n",
+ " linewidths=1,\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "edcd5565",
+ "metadata": {},
+ "source": [
+ "## 5. Comparison of clustering algorithms"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "4c032c99",
+ "metadata": {},
+ "source": [
+ "### 5.1. Compare different approaches"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "26eb1227",
+ "metadata": {},
+ "source": [
+ "#### Load experts ground truth"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "86f61b7e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "clusters_expert = pd.read_csv(\"mask.csv\")\n",
+ "clusters_expert = clusters_expert.to_numpy()\n",
+ "clusters_expert = np.reshape(clusters_expert, 38400)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "fd42f945",
+ "metadata": {},
+ "source": [
+ "#### Compare different approaches"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "056ad896",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Results for K-means applied on first three dimensions of PCA\n",
+ "FM : 0.6015665557841873\n",
+ "NMI: 0.5387823662410469\n",
+ "Results for K-means applied on original data (normalized)\n",
+ "FM : 0.6263019384432416\n",
+ "NMI: 0.5582715747398275\n",
+ "Results for Agglomerative Clustering applied on original data (small subset, normalized)\n",
+ "FM : 0.6276636966595519\n",
+ "NMI: 0.5378671553934923\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(\"Results for K-means applied on first three dimensions of PCA\")\n",
+ "print(\"FM :\", fowlkes_mallows_score(clusters_pca, clusters_expert))\n",
+ "print(\"NMI:\", normalized_mutual_info_score(clusters_pca, clusters_expert))\n",
+ "\n",
+ "print(\"Results for K-means applied on original data (normalized)\")\n",
+ "print(\"FM :\", fowlkes_mallows_score(clusters_full, clusters_expert))\n",
+ "print(\"NMI:\", normalized_mutual_info_score(clusters_full, clusters_expert))\n",
+ "\n",
+ "clusters_expert_samples = clusters_expert[::10]\n",
+ "\n",
+ "print(\n",
+ " \"Results for Agglomerative Clustering applied on original data (small subset, normalized)\"\n",
+ ")\n",
+ "print(\"FM :\", fowlkes_mallows_score(clusters_ac, clusters_expert_samples))\n",
+ "print(\"NMI:\", normalized_mutual_info_score(clusters_ac, clusters_expert_samples))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6080dc4b",
+ "metadata": {},
+ "source": [
+ "#### Interpretation\n",
+ "\n",
+ "Results appear relatively similar.\\\n",
+ "There is some randomness in both versions of the algorithms (Random initialization for K-means, random subset of data for agglomerative clustering).\\\n",
+ "To obtain more relevant results, several runs should be conducted and averaged for K-means and all the data should be used for agglomerative clustering."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e168c94e",
+ "metadata": {},
+ "source": [
+ "#### Several runs for K-means"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "id": "58ae2714",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "FMs = []\n",
+ "NMIs = []\n",
+ "for i in range(10):\n",
+ " clusters = KMeans(5).fit_predict(mars_reduced)\n",
+ " FMs.append(fowlkes_mallows_score(clusters, clusters_expert))\n",
+ " NMIs.append(normalized_mutual_info_score(clusters, clusters_expert))\n",
+ "FMs = np.array(FMs)\n",
+ "NMIs = np.array(NMIs)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "f27cc08c",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Results for K-means applied on first three dimensions of PCA\n",
+ "FM : 0.602208 ± 0.000842\n",
+ "NMI: 0.539388 ± 0.001018\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(\"Results for K-means applied on first three dimensions of PCA\")\n",
+ "print(\"FM : %f \\u00B1 %f\" % (FMs.mean(), FMs.std()))\n",
+ "print(\"NMI: %f \\u00B1 %f\" % (NMIs.mean(), NMIs.std()))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b9b39c5d",
+ "metadata": {},
+ "source": [
+ "##### Interpretation\n",
+ "\n",
+ "Not so much variability in the end."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8c00b970",
+ "metadata": {},
+ "source": [
+ "### 5.2 Try Gaussian Mixture Models"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "id": "5bf0c2b0",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Results for K-means applied on original data (normalized)\n",
+ "FM : 0.5926714304424104\n",
+ "NMI: 0.5585575432531626\n"
+ ]
+ }
+ ],
+ "source": [
+ "from sklearn.mixture import GaussianMixture\n",
+ "\n",
+ "clusters_gmm = GaussianMixture(5).fit_predict(mars_reduced)\n",
+ "\n",
+ "print(\"Results for K-means applied on original data (normalized)\")\n",
+ "print(\"FM :\", fowlkes_mallows_score(clusters_gmm, clusters_expert))\n",
+ "print(\"NMI:\", normalized_mutual_info_score(clusters_gmm, clusters_expert))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2b44b7d4",
+ "metadata": {},
+ "source": [
+ "##### Interpretations\n",
+ "\n",
+ "Not better."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "92987c94",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "celltoolbar": "Slideshow",
+ "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": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
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