{ "cells": [ { "cell_type": "markdown", "id": "7cda528b", "metadata": {}, "source": [ "# Clustering" ] }, { "cell_type": "code", "execution_count": 1, "id": "3167ee21", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import sklearn\n", "from sklearn.cluster import KMeans\n", "from sklearn.decomposition import PCA\n", "from scipy.cluster.hierarchy import dendrogram,linkage,fcluster\n", "\n", "from sklearn.metrics import silhouette_samples, silhouette_score\n", "\n", "import seaborn as sns\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "cd32a2ff", "metadata": {}, "outputs": [], "source": [ "K=4\n", "\n", "#ESLII book version\n", "mixture_model=[\n", " {'mean':(1.5,1.5),\n", " 'Sigma':[[.30,.05],[.05,.30]],\n", " 'pi':1/K\n", " },\n", " {'mean':(1.5,-1.5),\n", " 'Sigma':[[.50,-.08],[-.08,.50]],\n", " 'pi':1/K\n", " },\n", " {'mean':(-1.5,1.5),\n", " 'Sigma':[[.10,.03],[.03,.10]],\n", " 'pi':1/K\n", " },\n", " {'mean':(-1.5,-1.5),\n", " 'Sigma':[[.80,.50],[.50,.80]],\n", " 'pi':1/K\n", " },\n", "]\n", "sample_size=60\n", "np.random.seed(331243)\n", "data=np.ndarray( shape=(0, 2), dtype='float64')\n", "for m in mixture_model:\n", " data=np.vstack([data,np.random.multivariate_normal(mean=m['mean'],cov=m['Sigma'],size=sample_size)])\n" ] }, { "cell_type": "markdown", "id": "36442459", "metadata": {}, "source": [ "# Dataset Dirichlet Tutorial" ] }, { "cell_type": "code", "execution_count": 3, "id": "3066ec68", "metadata": {}, "outputs": [], "source": [ "sample_size=60\n", "np.random.seed(331243)\n", "data0=np.ndarray( shape=(0, 2), dtype='float64')\n", "for m in mixture_model:\n", " data0=np.vstack([data0,np.random.multivariate_normal(mean=m['mean'],cov=m['Sigma'],size=sample_size)])\n", "data=pd.DataFrame(data0, columns=['X','Y'])\n", "y_true=sample_size*[1]+sample_size*[2]+sample_size*[3]+sample_size*[4]" ] }, { "cell_type": "code", "execution_count": 4, "id": "5c2efa36", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(data.X,data.Y)" ] }, { "cell_type": "markdown", "id": "06497dc6", "metadata": {}, "source": [ "## Kernel density plot" ] }, { "cell_type": "code", "execution_count": 5, "id": "dd975e84", "metadata": {}, "outputs": [], "source": [ "from sklearn.neighbors import KernelDensity\n", "import numpy as np\n", "kde = sklearn.neighbors.KernelDensity(kernel='gaussian', bandwidth=0.2).fit(data)\n", "logprob=kde.score_samples(data) \n", "prob=np.exp(logprob)" ] }, { "cell_type": "code", "execution_count": 6, "id": "eed1010f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.ticker import MaxNLocator\n", "from matplotlib import cm\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "Xs = data.X\n", "Ys = data.Y\n", "Zs = prob\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "surf = ax.plot_trisurf(Xs, Ys, Zs, cmap=cm.jet, linewidth=0)\n", "fig.colorbar(surf)\n", "\n", "ax.xaxis.set_major_locator(MaxNLocator(5))\n", "ax.yaxis.set_major_locator(MaxNLocator(6))\n", "ax.zaxis.set_major_locator(MaxNLocator(5))\n", "\n", "fig.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "47f9a4bf", "metadata": {}, "source": [ "## True origins\n", "\n", "It is not possible recover the true sources since the distributions overlap." ] }, { "cell_type": "code", "execution_count": 7, "id": "c6b4b851", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(data.X,data.Y,c=y_true)" ] }, { "cell_type": "markdown", "id": "962b51e2", "metadata": {}, "source": [ "# K-means clustering" ] }, { "cell_type": "code", "execution_count": 8, "id": "de645d62", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '3 clusters, k-means')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_clusters=3\n", "kmeans = KMeans(n_clusters=n_clusters)\n", "kmeans.fit(data)\n", "y_kmeans = kmeans.predict(data)\n", "\n", "plt.scatter(data.X,data.Y,c=y_kmeans)\n", "plt.title('3 clusters, k-means')" ] }, { "cell_type": "markdown", "id": "7e10c06c", "metadata": {}, "source": [ "# Hierarchical" ] }, { "cell_type": "code", "execution_count": 9, "id": "e1ff870e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Z = linkage(data, 'ward')\n", "fig = plt.figure(figsize=(25, 10))\n", "dn = dendrogram(Z)\n", "plt.title('Clustering data; Ward distance')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "15f43476", "metadata": {}, "outputs": [], "source": [ "## Cut the dendrogram to get required number of clusters" ] }, { "cell_type": "code", "execution_count": 11, "id": "a9f84b37", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '4 clusters, hierarchical, ward distance')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f_cluster=fcluster(Z, t=n_clusters, criterion='maxclust', depth=4)\n", "plt.scatter(data.X,data.Y,c=f_cluster)\n", "plt.title('4 clusters, hierarchical, ward distance')" ] }, { "cell_type": "code", "execution_count": 12, "id": "2556c576", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '4 clusters, k-means')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_clusters=4\n", "kmeans = KMeans(n_clusters=n_clusters)\n", "kmeans.fit(data)\n", "y_kmeans = kmeans.predict(data)\n", "\n", "plt.scatter(data.X,data.Y,c=y_kmeans)\n", "plt.title('4 clusters, k-means')" ] }, { "cell_type": "markdown", "id": "5d000581", "metadata": {}, "source": [ "# Silhouette" ] }, { "cell_type": "code", "execution_count": 13, "id": "934ac3af", "metadata": {}, "outputs": [], "source": [ "def plot_row(n_clusters):\n", " # Create a subplot with 1 row and 2 columns\n", " fig, (ax1, ax2) = plt.subplots(1, 2)\n", " fig.subplots_adjust(hspace=3.4, wspace=1.4)\n", " fig.set_size_inches(5, 2)\n", " ax1.set_xlim([-0.1, 1])\n", "\n", " ax1.set_ylim([0, len(data) + (n_clusters + 1) * 10])\n", "\n", " clusterer = KMeans(n_clusters=n_clusters, random_state=10)\n", " cluster_labels = clusterer.fit_predict(data)\n", "\n", " silhouette_avg = silhouette_score(data, cluster_labels)\n", " print(\"For n_clusters =\", n_clusters,\n", " \"The average silhouette_score is :\", silhouette_avg)\n", "\n", " sample_silhouette_values = silhouette_samples(data, cluster_labels)\n", "\n", " y_lower = 10\n", " for i in range(n_clusters):\n", " ith_cluster_silhouette_values = sample_silhouette_values[cluster_labels == i]\n", "\n", " ith_cluster_silhouette_values.sort()\n", "\n", " size_cluster_i = ith_cluster_silhouette_values.shape[0]\n", " y_upper = y_lower + size_cluster_i\n", "\n", " color = cm.nipy_spectral(float(i) / n_clusters)\n", " ax1.fill_betweenx(np.arange(y_lower, y_upper),\n", " 0, ith_cluster_silhouette_values,\n", " facecolor=color, edgecolor=color, alpha=0.7)\n", "\n", " ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n", "\n", " y_lower = y_upper + 10 # 10 for the 0 samples\n", "\n", " ax1.set_title(\"The silhouette plot for the various clusters.\")\n", " ax1.set_xlabel(\"The silhouette coefficient values\")\n", " ax1.set_ylabel(\"Cluster label\")\n", "\n", " # The vertical line for average silhouette score of all the values\n", " ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n", "\n", " ax1.set_yticks([]) # Clear the yaxis labels / ticks\n", " ax1.set_xticks([ 0, 0.5, 1])\n", "\n", " # 2nd Plot showing the actual clusters formed\n", " colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n", " ax2.scatter(data.X, data.Y, marker='.', s=30, lw=0, alpha=0.7,\n", " c=colors, edgecolor='k')\n", "\n", " # Labeling the clusters\n", " centers = clusterer.cluster_centers_\n", "\n", " # Draw white circles at cluster centers\n", " ax2.scatter(centers[:,0], centers[:,1], marker='o',\n", " c=\"white\", alpha=1, s=200, edgecolor='k')\n", "\n", " for i, c in enumerate(centers):\n", " ax2.scatter(c[0], c[1], marker='$%d$' % i, alpha=1,\n", " s=50, edgecolor='k')\n", "\n", " ax2.set_title(\"The clustered data.\")\n", " ax2.set_xlabel(\"1st feature\")\n", " ax2.set_ylabel(\"2nd feature\")\n", "\n", " plt.suptitle((\"Silhouette analysis for KMeans clustering on sample data \"\n", " \"with n_clusters = %d\" % n_clusters),\n", " fontsize=14, fontweight='bold')\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "0d4b32dc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "For n_clusters = 2 The average silhouette_score is : 0.4113389709384226\n", "For n_clusters = 4 The average silhouette_score is : 0.5877700689548173\n", "For n_clusters = 5 The average silhouette_score is : 0.5767597610186885\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.cm as cm\n", "from matplotlib import rcParams\n", "rcParams['axes.titlepad'] = 30\n", "\n", "X=data\n", "range_n_clusters = [2,4,5]\n", "\n", "for n_clusters in range_n_clusters:\n", " plot_row(n_clusters)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "143aa2de", "metadata": {}, "source": [ "# Multidimensional scaling\n", "\n", "### Countries data\n", "\n", "https://hastie.su.domains/ElemStatLearn/\n", "Countries preference data (chap 14)\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "327e4c14", "metadata": {}, "outputs": [], "source": [ "from sklearn import manifold\n", "mds = manifold.MDS()" ] }, { "cell_type": "code", "execution_count": 16, "id": "fe93dc9c", "metadata": {}, "outputs": [], "source": [ "country_names=['EL','BRA','CHI','CUB','EGY','FRA','IND','ISR',\n", " 'USA','USS','YUG','ZAI']\n", "countries=pd.read_fwf(\"data/countries.csv\",colspecs='infer',\n", " names=country_names).T\n", "countries.columns=country_names\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "aefff346", "metadata": { "scrolled": true }, "outputs": [], "source": [ "#pip install scikit-learn-extra\n", "#from sklearn_extra.cluster import KMedoids\n", "\n", "#kmedoids = KMedoids(n_clusters=3, random_state=0).fit(countries)" ] }, { "cell_type": "code", "execution_count": 18, "id": "192bbc16", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Multidimensional Scaling plot')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mds = manifold.MDS(n_components=2, max_iter=3000, eps=1e-9, random_state=0,\n", " dissimilarity=\"precomputed\", n_jobs=1)\n", "pos = mds.fit(countries).embedding_\n", "plt.scatter(-pos[:, 0], -pos[:, 1], s=2, c='g')\n", "for i in range(len(country_names)):\n", " plt.text(-pos[i, 0], -pos[i, 1], country_names[i])\n", "plt.title('Multidimensional Scaling plot')" ] }, { "cell_type": "markdown", "id": "9de86c1c", "metadata": {}, "source": [ "# EM" ] }, { "cell_type": "code", "execution_count": 19, "id": "87f2b445", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
GridSearchCV(estimator=GaussianMixture(),\n",
       "             param_grid={'covariance_type': ['spherical', 'tied', 'diag',\n",
       "                                             'full'],\n",
       "                         'n_components': range(1, 7)},\n",
       "             scoring=<function gmm_bic_score at 0x0000022CFBE3D3F0>)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "GridSearchCV(estimator=GaussianMixture(),\n", " param_grid={'covariance_type': ['spherical', 'tied', 'diag',\n", " 'full'],\n", " 'n_components': range(1, 7)},\n", " scoring=)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.mixture import GaussianMixture\n", "from sklearn.model_selection import GridSearchCV\n", "\n", "def gmm_bic_score(estimator, data):\n", " \"\"\"Callable to pass to GridSearchCV that will use the BIC score.\"\"\"\n", " return -estimator.bic(data)\n", "\n", "param_grid = {\n", " \"n_components\": range(1, 7),\n", " \"covariance_type\": [\"spherical\", \"tied\", \"diag\", \"full\"],\n", "}\n", "grid_search = GridSearchCV(\n", " GaussianMixture(), param_grid=param_grid, scoring=gmm_bic_score\n", ")\n", "grid_search.fit(data)" ] }, { "cell_type": "code", "execution_count": 20, "id": "0345d645", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Number of componentsType of covarianceBIC scoreBIC error
01spherical-404.413029404.413029
121diag-408.590326408.590326
72tied-436.094223436.094223
34spherical-436.828389436.828389
45spherical-438.597327438.597327
181full-441.436388441.436388
61tied-441.436388441.436388
105tied-449.679123449.679123
94tied-454.537617454.537617
154diag-456.600597456.600597
\n", "
" ], "text/plain": [ " Number of components Type of covariance BIC score BIC error\n", "0 1 spherical -404.413029 404.413029\n", "12 1 diag -408.590326 408.590326\n", "7 2 tied -436.094223 436.094223\n", "3 4 spherical -436.828389 436.828389\n", "4 5 spherical -438.597327 438.597327\n", "18 1 full -441.436388 441.436388\n", "6 1 tied -441.436388 441.436388\n", "10 5 tied -449.679123 449.679123\n", "9 4 tied -454.537617 454.537617\n", "15 4 diag -456.600597 456.600597" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(grid_search.cv_results_)[\n", " [\"param_n_components\", \"param_covariance_type\", \"mean_test_score\"]\n", "]\n", "df = df.rename(\n", " columns={\n", " \"param_n_components\": \"Number of components\",\n", " \"param_covariance_type\": \"Type of covariance\",\n", " \"mean_test_score\": \"BIC score\",\n", " }\n", ")\n", "df[\"BIC error\"] = -df[\"BIC score\"]\n", "df.sort_values(by=\"BIC error\").head(10)" ] }, { "cell_type": "code", "execution_count": 21, "id": "74fa6b7e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "sns.catplot(\n", " data=df,\n", " kind=\"bar\",\n", " x=\"Number of components\",\n", " y=\"BIC error\",\n", " hue=\"Type of covariance\",\n", ")\n", "plt.ylim(300,520)\n", "plt.ylabel('BIC error (from 300)')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "id": "367e9245", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'EM ggm, 2 clusters, tied')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# selected\n", "ggm=GaussianMixture(n_components=4,covariance_type='spherical').fit(data)\n", "\n", "#plt.subplots(1, 2)\n", "fig = plt.figure(figsize=(15, 5))\n", "ax1=plt.subplot(121)\n", "plt.scatter(data.X,data.Y,c=ggm.predict(data))\n", "plt.title('EM ggm, 4 clusters, spherical')\n", "ax1=plt.subplot(122)\n", "plt.scatter(data.X,data.Y,c=GaussianMixture(n_components=2,covariance_type='tied').fit(data).predict(data))\n", "plt.title('EM ggm, 2 clusters, tied')\n" ] }, { "cell_type": "markdown", "id": "da66efd7", "metadata": {}, "source": [ "# GGM density" ] }, { "cell_type": "code", "execution_count": 29, "id": "6d25c3fd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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klbhkgI6IiIiIaoEBOWpIUkqEw2Ekk0l4PB5jQjY/P4+VlRUMDQ0hFothamoKiUQCLpcLra2tRoAOgDFByz2mpmlIJBJGgI99CIiIqJ6kUilsbGygra2t7MCZPr4BMAJ4eg8eAOy/SkREdUXTNKytrcHn8xlzsmQyibGxMTidTvj9fgSDQczPz0NKiZaWFrS2tsLn8xmbVQrHTL3lQSaTAZAdG9l/lYiIiIiqjQE5ajh6WZLt7W0kEgl4vV6kUimMjY3B4XBgeHgYmUwGbW1tGBgYgJQSkUgEgUAAk5OTSCaTSKVSWF9fR3t7O+x2OwAUnaTpATodA3RERHQW9MyAZDKJ6elpdHR0nPgYxTLo9HGMAToiIqo3uX3Cp6am8PLLL8NsNmN7extPnz7FlStX4Pf7kU6n0d7eDgDIZDIIBoPY2dnB7OysMX7u7OwYAT2g+Nwvk8kYvcgZoCMiIiKiamBAjhpG7oQM2F9Y3NnZwZMnT3D58mV0dnYWXWz0eDzweDwYHByEpml4//33kUwm8fTpU6RSKXi9XmMnpc1mM+7HAB0REZ01fSOKpmmnCoaVKmlZeBuAAToiIjpbUkqk02mj3LKiKNA0DZOTkwiFQrh79y7sdjtUVc27n94rVQ/QRaNRPH78GFtbW5ienobJZMrLoNPHsGJzv3Q6fSBAlzv2ce5HRERERCfFgBw1hMKeAfrX9vY2tre3jQnZcei9cvr7+2Gz2aBpGsLhMAKBAB4/foxMJmP0n2tpaYHVagVQOkAXj8fzFjAZoCMiokoo3IiiLxoeFVSrpGIBOr2HXW6ALnfsY4COiIhOo1ifcE3T8MEHH6Crqwv37t079jzLbDbDarXiypUrALIbTILBIDY2NjA1NQWz2WwE6Lxeb16ATh/7gOIBusKxj3M/IiIiIjoKA3JU93IzA/QJWSKRwNTUFCwWC4aHh088+cnNElAUBT6fDz6fD0NDQ9A0DaFQCMFgEEtLS1BVFT6fzwjQWSwW4xi5feiKBeiA7CTQbrczQEdERMdWmBmgjx/HyXIrRV/QPI1im1OklEgmk0gmk8ZtAMDpdMJsNnPsIyKiY8ndiJI7z1pbW0M4HMYLL7yArq6uvPscNcYU/txqtaKzsxOdnZ0AgGQyiWAwiLW1NUxOTsJqtRq9x91u96EBulQqZYx9iqJAVVW43W5j7OP4R0RERESFGJCjulVqQraxsYFnz56ht7fXWKg8qcMWNBVFMSZh58+fh6qqCIVCCAQCWFhYgJQyL0BnNpuNYxYG6BYWFmA2m9Hd3Q0AeWVOGKAjIqJiimUG6E47blQ6u65YgC4ajWJ2dhY3btwAwOxxIiI6mh7gyt2Eqaoqnj59inQ6jZaWFni93rKPXYrNZkNXV5cR6EskEggEAlheXkY4HIbNZssL0OVukCkM0H3wwQe4c+eOcf4Wi8WY+zFAR0REREQAA3JUp4plBqiqiomJCSQSCdy/fx+7u7vY2dkpev9KTnZMJhP8fj/8fj+AbKNwPUA3Pz8PKWVeH4JiATqTyWQEGDOZjHFsPUDHRuFERFRYnrnSpR9rMcbo560vVLL/KhERHaXYRpRwOIyxsTH09/ejv78fDx8+LGtTyUkzy+12O3p6etDT0wMAiMfjCAQCWFxcRCQSgd1uNwJ0LpcrL0Cn95lj/1WihlK7WvBERMTJPxiQozpUbEIWiUQwOjqK3t5eXL9+3fj+acp2lXtfs9mMtrY2tLW1AcgG6ILBIHZ2djA7OwshhBGgy32MYlkEuQE6fQKnfzFAR0T0/CiWGVBppxn7Tkp/nFL9VxmgIyKiYhtRpJRYXFzE0tISbt26BY/HA6D8Mey0Y4rD4YDD4UBvby+klEaAbn5+HpFIBE6n0wjQ5Y59QH7/VYABOiIiIiJiQI7qSKkJ2dLSEhYWFnDr1q0DZUpOs7BYqUVJs9mM9vZ2tLe3AwDS6TSCwSC2trawubkJk8mEeDxuZNDl9iEoXKTMZDJ5jcIZoCMian56eeZiJSob0WHnXypAl9t/lQE6IqLmV6xPeDqdxvj4uNEnPLckJFD+/K1S8z4hBJxOJ5xOJ/r6+iClRCwWQyAQwMzMDGKxGMbGxowAncPhyBv3cgN0+kac3ABd7tjHAB0RERFRc2JAjupCscyATCaD8fFxKIqC4eFhoxSkTg/YlaOai3sWiwUdHR3o6OiAw+EAkO1NsLGxgampKZjNZmOS5vF4Dg3QpdPpAwG63F2UXKQkImpc1S5RWaiWGXLHVaz/KgN0RETNK7dPOLA/DgQCATx+/BgXL140+m/nKneMrObYJ4SAy+WCy+VCf38/Hjx4gKGhIQQCAUxNTSGRSMDlcuUF6PT7Fc77pJRIJpNIJpMAGKAjIiIialYMyNGZK8wKE0IgFAphfHwcQ0ND6O3tLXnfUpMrPcuglFouSppMJnR2dqKzsxMAkEwmEQwGsbq6iomJCVit1rxG4bkBusJG4YUBusJJGhcpiYgaQ7HMgNNSFAWappX8eT0G5AodJ0CXmz3OAB0RUeMo3Iiij0szMzPY3NzEyy+/DKfTeej965kQAm63G263GwMDA5BSIhKJIBAIYHJyEslkEh6Px2hvYLfbjfsdFaDTN6eYTCaYzWaOfUREREQNigE5OjOlJmSzs7NYX1/H7du3D52QNcrCYiGbzYauri50dXUBABKJBAKBAJaXlxEOh2Gz2fICdLmNwgsDdKlUCslkEkIIbG9vo6enx1ikbIayZ0REzaZUZkCljl0vKlkerDBAl9t/dXd3Fy6XC263m+WdiYjqWLGNKMlkEiMjI/D5fLh///6hWWCn6SF3VuOjEAIejwcejweDg4PQNM0I0D19+hSpVAper9cI0NlsNuN+pfqv6ps0U6kU2tvbuTmFiIiIqMEwIEdnotSEbGxsDC6XC8PDw0eW5TjN5Kqegnl2ux09PT3o6ekBAKNR+OLiIiKRCOx2uxGgc7lcJQN0c3NzaGtrMwJ0egadvpOSAToiorOlL6Kpqnomn8m1Gvuq+bwKf29bW1vQNM0YD/WxUc8gZ4COiOhsFW5E0ed4m5ubmJycxLVr19DW1nbkcRoxIFdIURR4vV54vV6cO3cOmqYhHA4b5TozmQy8Xi9aW1vR0tICq9UK4ODYFw6HsbGxAbfbbXyP5Z2JiIiIGgMDclRTpSZk29vbePr0Ka5cuYKOjo5jHeuoydVhZSvraWJWyOFwwOFwoLe3F1JKI0A3Pz+PSCQCp9NpBOicTmfRAJ3+3AobhRf2oCMiotrQNA2pVMoYm85ioayex75y6b/L3PEvN4NO77+qfzFAR0RUO8U2omiahsnJSUSjUdy7d8/ICjtKM45hiqLA5/PB5/NhaGgImqYhFAohGAxiaWkJqqrC5/MZATqLxZJ339yxT8+g0zFAR0RERFSfGJCjmpFSYmdnB+l0Gi0tLcaEbGpqCqFQCHfv3jXq6B9HqUlZbvnLRieEgNPphNPpRF9fH6SUiMViCAQCmJmZQSwWMxqFa5p2YKGXAToiorOllxdeXl5Gb29v1T9rj+qh2mwKx/piZb4Ke9UyQEdEVH2apmFubg5dXV1GQCgWi2FkZARdXV24evXqiT5/D5vfHdU7vFEoimJsvDx//jxUVUUoFEIgEMDCwgKklPD5fLBYLHk9Y0uVuMztv8oAHREREVF9YECOakLPDAiFQkgmk2htbUU8HsfIyAja29tx7969E08KGqVkZSUfRwgBl8sFl8uF/v5+SCkRjUYRCASQTCbxzjvvwO12G30IHA6HcT+AAToiolrSg3GpVApLS0vo6+s70/Npls0qhY5aiC1cpEyn0wcCdLljHxcpiYjKl9snfGlpCV1dXRBCYGVlBXNzc7h58yZ8Pt+Jj9usY9hhTCYT/H4//H4/ACCTySAUCmF1dRXBYBDhcNiY9/l8PpjN2eWdYv1XCwN0uZtTGKAjIiIiqh0G5KiqcidkekkpKSXW1tYwPT2NGzduoLW1taxjnzYgVwvVfhwhBNxuN9xuN9bW1nDv3j2jUfjk5CSSySQ8Ho8xUdMzEIsF6HIXjoFsgC53FyUDdEREx5dbolJRlOdqEbGeF00L+68WC9AVjn1cpCQiOh59PqH3CVcUBel0Gk+ePIGmaRgeHjaCRidVz2NLrZjNZrS1tUFRFNhsNpw/fx7BYBA7OzuYnZ2FECIvQJfbX7UwQKe3kcgN0LH/KhEREVH1MSBHVVM4IdMnUevr63A4HBgeHs6rg39Sp52UNeOETggBj8cDj8eDwcFBaJpmBOiePn2KVCoFr9drTNT0ng3FMgiklEgmk0gmkwD2y5yYTCaYzWZO0oiIiijciKIvatXDmFMv51FPigXoUqmUMfbpm1P08e+s+v8REdU7fezLLaGvqiref/99nDt3Dn19faf6/GyUMayWpaPNZjPa29vR3t4OAEin0wgGg9ja2sL09DRMJlNegE4PyJUK0OX+/zFAR0RERFQdDMhRVeg77nInZOFwGM+ePYPL5cLt27dPfVH/PEzoTktRFHi9Xni9Xpw7dw6apiEcDiMQCODx48fIZDLwer1Go3Cr1QqgdB8CvVH44uIihoaG2IeAiCiHpmlIp9N5G1F09TDmPC9j32kcFqDb2NiA3++Hy+VigI6IaE+xjShSSszPzyMSieDll19GW1vbqR/nsDHsee+fqrNYLOjo6EBHRweAbHuCYDCIjY0NTE1NwWw2Gz3qPB7PgQBd7vH1AF0kEkE6nUZnZyf7rxIRERFVAANyVFGlJmSLi4tYWlrC0NAQEolERS7ghRB5zazLOddaqKfFT0VR4PP54PP5MDQ0BE3TjEbhS0tLUFUVPp/PCNDpGYyFk7SNjQ0MDg4aATqAjcKJ6PmVW/oJOPiZyc/D6qn2GJsboAsEAvB6vey/SkS0p9hGlFQqhbGxMdjtdvj9fqOn9WkdFpB7HsfZ4zxnq9WKzs5OdHZ2AgCSySSCwSBWV1cxMTEBq9VqBOjcbnfRAF0ikUA8Hoff7z/Qf5UBOiIiIqKTY0COKqbYhCydTmN8fBxmsxnDw8MIBoOIx+MVebzTZsjVQr1nIyiKYkzCgGxmox6gW1hYgJQyL0CX2yg8d9GxMIMOYICOiJ4PhRtRavVZVywb4KjHrtWYVOvP+1r/znP7rwJggI6InjuFG1H0z7qdnR08efIEly5dQldXFx4+fFixcafUGMY5xvHZbDZ0dXWhq6sLQDbYFggEsLy8jHA4DJvNlheg03/niqIcmPsV9l8tHPv4/0JERERUHANydGqlMgOCwSDGx8dx8eJFdHd3Gz87TVZbrtMsLNZ7oOysmEwm+P1++P1+ANleEHqAbn5+HgDg8/mQyWSgquqBRuE6PUAXj8eN7zNAR0TN5rASldWkj2Enfbxajn3NOsYWy3zMDdDpJS5zA3S5Yx8DdETU6PRgjKqqeX3Cp6ensbOzgzt37hhZcZUcdxpl/tZI5TPtdjt6enrQ09MDAIjH4wgEAlhcXEQkEoHdbofJZILVas17XsXKOxcG6ArHvkb5nRARERFVGwNydCqlJmQzMzPY3NzEyy+/DKfTadz+eZyUNTKz2Yy2tjaj70MmkzHKnHzwwQcQQuQ1Ci8M0OU2CmeAjoiaRanMgFrh+Hc2jlpkLbY5RUqJZDKJZDIJgAE6ImpsmqYhlUrl9QlPJBIYHR1FS0sL7t27l/e59rzN/Rp9PuNwOOBwONDb2wspJeLxOObm5hAIBPDgwQM4nU4jg87pdB4aoNP7r+qvE33sM5vN7L9KREREzzUG5KhsxSZkyWQSo6Oj8Hq9uH///oGFpnqZlDXChK4emc1mtLe3w2634969e0in0wgGg9ja2sL09DRMJlNegK6wD8FhAbrcPgQM0BFRvSq2EaXWyh3DOPbV1lEBOillXokvfZGSiKjeFOsTDmT7Sj979gzXr183KmzkUhSlLqqjNJtalZ92Op1oaWmBx+NBf38/YrEYAoEAZmZmEIvF4HK5jACdw+E4cYBOH/8YoCMiIqLnCQNydGK5mQG5E7LNzU1MTk7i6tWraG9vL3pfRVEqOoFohIBcM08cLRYLOjo60NHRASDbRycYDGJjYwNTU1Mwm83GJM3j8RwaoFNVFZlMxji2vkjJRuFEVC+KbUQ5C40QkKvl2HeWfftOolR5Z/ZfJaJ6pgdTcssza5qGiYkJxONx3L9/H1arteh9GUSrnlqOD/r/u8vlgsvlQn9/P6SUiEajCAQCmJqaQiKRgNvtNjZn6mVL9fuz/yoRERFRFgNydCKlJmTPnj1DOBzGvXv3YLPZSt6/kj3kDgvu1cvk73lbSLNarejs7ERnZycAIJlMIhAIYHV1FRMTE7BarXmNwgsDdLrcAN38/Dz6+/tht9uNDDoG6IiolkplBpyVehnjSqnl53Otfw+VfG6HBeh2dnagKAra2toYoCOiM6NvwszdiBKNRjE6Ooru7m5cu3btyFK+9VAdpZYa4RxPotRmFCEE3G433G43BgYGIKVEJBJBIBDA5OQkkskkPB6PEaCz2+3G/QAUDdBFIhGsr6/j3LlzDNARERFR02JAjo6tWGZALBbD6OgoOjs7cffu3SMXiio9kWqEDLlmc5Lfm81mQ3d3N7q7uwEAiUQCgUAAy8vLCIfDsNlseQG63DIn+t9DoRD6+/uRyWTyGoXnlrhkgI6IqqXYRpSz1ggZcs2o2r+73NdXIpGA2WxmBh0RnYlSG1GWl5cxPz+PW7duwev1Hnmc5y0g9zx/Jgsh4PF44PF4MDg4CE3TjADd06dPkUql4PV6jQCdvom3MEAXDocBMIOOiIiImhcDcnSkUhOy1dVVzM7O4saNG2hpaTnWsZ63SVkzOk3JLrvdjp6eHvT09AAA4vE4AoEAFhcXEYlEYLfbjQCdy+Uy/o8VRcmbeOmvSQboiKia9LHvrEtUFuL4dzZOW7KynMcqHPsK+68yQEdElaZpGtLpdN5GlEwmg8ePHwMAhoeHYTYfbxmBPeQanz4XOylFUeD1euH1enHu3DlomoZwOIxAIIDHjx8jk8nA6/WitbUVLS0tsFqteddbuRl0+uao3ABd7tjHAB0RERE1Egbk6FCapmFzcxNerzdvQvb06VNkMpkTTciAyvaQO20fF07ozp7D4YDD4UBvby+klEaAbm5uDtFoFE6nE4lEArFYDB6Pp2gGHZCdqKXT6QMButxdlFykJKLjklIiFApBCAGbzVZ3Cz3lfp5x7GscxYJ/xfqvFgbocjenMEBHRCchpUQikUAkEjEqVwghEAqFMD4+jqGhIfT29p7omNyMSTpFUeDz+eDz+TA0NARN0xAKhRAIBLC0tARVVeF0OpFMJpFOp2GxWAAUn/dJKZFMJpFMJgHsb04xmUwwm80c+4iIiKiuMSBHRek9vNLpNB4/fozXXnsNQgiEw2GMjo5icHAQfX19J77YrWQPudOo5YSu2SaO1coQEELA6XTC6XSir68PUkrEYjE8evQI8/PziMViBxqF5wbo9F2U+jmm02mkUiljEqfvotQnaZyoEVExembA4uIiWlpajJ6YlVCpz89yx1KOfadzFhlyhykWoNOv3XIDdPr4x80pRFSKfu0cCoWwsrKCmzdvQkqJubk5rK2t4aWXXoLL5TrxcSsdkKuHeWQ9qOUYW62xT1EUozIKkO1XuLa2hqWlJYyMjEBKCZ/PZ2TQ6ZuAD+u/qmP2OBEREdUzBuTogMISlfpEanFxEcvLy3jxxRfhdrvLOnY97WysxXnw4r98Qgi4XC5YLBbcunULABCNRhEIBDA1NYVEInEgQJd738IAXSqVMnZR6mVO9J2UDNARUW4wA6hsRjewP/49D581tXyO9RYkO8vHKhWgyy27ygAdERXK7ROul5hMpVIYHR2F0+nE8PBw2Znila6OUi/zyMPU6hzreTwqh8lkMkpcXr9+HZlMxsigm5ubgxAiL0Cnz/UYoCMiIqJGw4Ac5SnWM0BKiYcPH8Jut2N4eDgv0HFS9TKR4kV4+c5iQVl/PLfbDbfbjYGBAUgpjUbhk5OTSCaT8Hg8RoDObrfn3T+3DwHARuFEtE/PDFBVNS+oUY2AXDWPdZyMqnoYg+lolRhriy1S6gE6/efsv0r0/CrMqtV7NicSCbzzzju4cuUKOjo6TvUYlcxqa4QxjJ+hp5Pbr85sNqOtrQ1tbW0Asn19g8EgdnZ2MDs7CyGEMe/z+XwM0BEREVHDYECOABSfkAFAIBBANBotq2dAMZVs7H0ajTChq1f18nsTQsDj8cDj8WBwcBCaphkBuqdPnyKVSuU1CrfZbMb9ABQN0IVCIezs7GBgYIABOqLnRG5mQO4iTqXHK/bRqTwpJeLr61hbXYHnq74G1V5Pq/cMuaMUW6TMZDJIp9OYnp7GpUuXGKAjek7o1SNyN2FqmoaFhQWEw2G8/vrreZvbysWxr/HVy9hnNpvR3t6O9vZ2AEA6nUYwGMTW1hamp6dhMpnyAnT6/K1UgC4ej2N1dRWtra1wu90M0BHRkTRNg6qqxgYWflYQUbkYkKOimQFSSszMzGB7exsej8e48D2tWk2k9N3fp8nmq5RmnDjW44WHoihGmZNz585B0zSEw2EEAgGsrKwgk8nkBeisViuA/ACdqqqIxWIAmEFH1OwKyzMXvq8r3aumkgG+UmOppmnIZDLG59tx71cNlXyc+M4OAs+eITA1hcD0NKKrq8gkEoisrWFjbAytFwcRePU2XnH4K/aYZ60WC6C5i5ShUAhCCKTTaaNsa26JS33sq8fxn4hOpthGlHg8jtHRUXi9XrS0tFQkGAfULiCXTqdLjn10OrUMyOkB4uOwWCzo6OgwsjhTqRSCwSA2NjYwNTUFs9ls9KjzeDwHAnSKoiASicDn8xkButx5IQN0RKTLTWBIJBLG5wg3shFRuRiQe84Vm5AlEgmMjo6ipaUF9+7dwwcffNBQpUbW19cxOTkJAHA4HMaFuMvlMgbIWi1KNuOA3Cg9kBRFgc/ng8/nw9DQEDRNM/oQLC0tQVXVvD4EFovFKJNSWOJS30WcG6DLnaQxQEfUWIplBhRqtJKV0WgUIyMj0DQNiqIYY1/hLvF6HfvSsRiC09PZoFvBVyIcRtvly3C0tSG2uYnAs2eQOdcl9jYfllOPkLF/NcxVHJ7qJUugWor1Xy0M0BWOfY1wPUBEWaU2oqyvr2Nqago3btyAw+HA+Ph4xR6z2j3kVFXF48ePEQqFAMC4tm9tbYXFYsm7baPMYY6jGTd8Aqf7P7Jarejs7ERnZycAIJlMIhAIYHV1FRMTE7BarcZrw+12Gxul9PEst/9qYYAud3MKA3REz5fcBAYAxmdA4XVyNBqF0+mEy+XidTIRHYkBuedUqQnZxsYGnj17hmvXrhn12hulGbemaZiYmEA8Hsfdu3eNHgh6I+hoNAq3243W1lak02mYzXz5l6sRLyxyF6iB7AReD9AtLCxASmmUtcxkMsbro1iZEyklkskkksmkcWx9kdJsNjfk74foeaHvbiwsUVlICGFMvCqhmgG5tbU1zMzM4MaNG7Db7VBVFYFAwBjTLRYL/H4/XC7XmS7iaZkMQnNz+8G2mRnE1teRCASQicdhstmgWK0w7WU5WLxe9L72GnYmJmDz+bD2/vvI7GUx5xIC6Bfv4mPRv4j/w52p2vnXOiB31ps9igXoUqnUoWMfxz+i+lRsI4qqqpiYmEAymcTw8DAsFotxm0qpZg+5SCSC0dFR9PX14fLlywBgXNsvLi5CSmmUMKzl2Ferx2rGDSKVfCybzYbu7m50d3cDgLEusLy8jHA4DJvNhmQyiVgsBqfTmbdxN3d9pLD/KrAfoGNWDFFzK0xgyFV4nbyxsQGfz5f3WcLrZCIqhRGJ51CpngETExOIxWK4f/9+XsmPSk+kqiEej2NkZASdnZ24du2aUbbL6XTC6XSir68PUkqjx9j6+joymQwikYgRpGGZk+Nplh2ZJpMJfr8ffn+2xFkmk8Hi4iK2t7fx8OFDCCHyMugOaxReGKDTy5yYTCYG6IjqxFElKgspimLseKyEamxu0TQNT58+RTKZxP3792EymZBKpWCxWPJ2ieuLUGtrawiFQhgdHTXGvtxFqEqJrKwg+PAhHk9OIry8jMjqKmIbG4jv7CATjyMdiSARDMLscMDZ0QGT1QopJYIzM4iuraHjpZfg7u7G7twcgtPTAIBkKAR3Tw/URALh5eW8x0ts7eC68i5+Km7GtzozcDRB0nI9ZnIcFqDTx0aLxWKMf1x4IDp7uWW2gP3r2Nxg1vXr16tWRaRaAbmVlRXMzc3h1q1b8Hg8SKVSEELkbb7LZDIIBoPY2dlBLBbD+++/D7/fj9bWVni93qpseuBn3ulUc+yz2+3o6elBT08PgOz6wdjYGFZXVzE7Owu73V6ysk7h3C83QMeydUTNR0qJWCyG3d1dtLa25gXoS9Hnl7mVloptZON1MhEBDMg9dzKZzIEJWTQaxejoKLq7u3Ht2rUDg0Kly3ZVmp4BcOPGDWMCVux8hRDweDzweDywWCxIp9Pwer3GTjlVVY1dlC0tLRXLoKvn31056nGRsBLMZjPcbjcA4Pz583mT+NnZWQgh8hqFHxag0zQNiUTC+B77EBCdLU3TkE6nDy1RWagaJSsruSgZj8fx9OlTdHd3G4uppY6vL0K1t7djdHQUFy5cQCAQwMzMDGKxGDwej7EIddK+QalIBLOf+hSWvvhFJINBbIyOYndhAZlYDI/2bmN2udBy7hxsLS0wWa1IC4HU7i6ia2sIzc5mz9HvR9uNG2i7fh278/OYffQo73GsbjeC09Ow+XzofOklbOz93NbejlQkik68h6mMgl+OWPD3vZULpBaqxz46p1Xu67ywvDPA/qtE9aRwI4oe0FpaWsLCwgJeeOEFeDyevPtUst8pUPnscFVVMT4+jnQ6jeHhYZjN5pLHN5vNaG9vR3t7O0KhEG7evIlQKIS1tTVMTk7CZrPllTDk9XlxjZohdxSHwwGr1YqrV6/CarUiHo/nVdZxOp1FNy8Vm/sVrrEwQEfUuPRAWjgcxsrKirGB+yiF491RG9l4nUz0fGNA7jlRbEIG7O8uvHnzJnw+X9H7VnpiVil60GNxcfFAVt9x6AGWlpYWnD9/HqqqIhgMGhfiubssc3vwnPQxqHHkTgJzJ/FAtll8MBjE1tYWpqenYTKZjOBtYY8mBuiI6kOpzIDjqGQATT9epRYl4/E4tra28OKLL6KlpeXE5+FyueByudDf3w8pJcLhMAKBAJ4+fYpUKnVoDx4AkJqGhc9+FvN/+qeY/dSnYLLbsfHwYfb4JhM6XnwRKYsFrXsTWC2dhqaqkHtf9tZW2HNKiFk9HqSiUaiJBAJTU9BSKVg8HqipFLS9XaVmhwNANlNuc2wMfW++ieW33oKjuxuKGoMZG2jBEn4v3o/vcqfha/A5baMtgOr3Z4COqD4U24iSTqcxPj4Os9lsBLMKVXozSiWPl0wmsba2hosXL2JgYOBEn1t6Bm9XVxe6uroAwAjALCwsIBKJwOVyGWOfw+Hg9fmeRhuPTiL3/VFYWScWi+VtXnK73cbmzNzXR7G5X2H/VQboiBrDYSUqT4sb2YgoFwNyz4FiE7JMJoPHjx8DQMkJma7Si5KVoJeoFELgzp07Jx4siy2MmkwmtLW1Gb3z0ul0Xg+e3EbQHo/nub2QbtYMOSD7Xil14WOxWNDR0YGOjg4A2YunYDCIjY0NTE1NwWw2570+jgrQxeNx7O7uQlVVdHR0MEBHVGG5DbjLKQlSjQy50x5PLy8diURw7dq1soJxhecghIDX64XX68W5c+egaVrpHjybm3j627+NzbExBKenEZiaQv+bb2LprbegWK3ofOklSFXF5sgItEwG2uAgFIvFKDtp9XrR9dJLMDudyCSTWHv3XXS++CIysRgsNhuioRBia2sHzrvjxRcR39xE+61bsHm9EEIgFYlg8Ku+CuHdXSjp7IaHD9vexu+n+/DRsBU/5EuV90uuE7Ucaw8b+8pVLECn7wxOJBJYWlrC0NBQ3tjHhQei0yvciKK/r4LBIB4/fozz588bJfuKqdeSlWtra5ienkZraysGBwfLOo/C5+VwOOBwONDb2wspJaLRKAKBAKamppBIJPKyx/U+08fRbNVRaqnW88xS/VqLbV4qfH0UBuhy71uYFaMH6BYWFtDf3w+bzZa36M65H9HZKtba4KRzwZOMn9zIRkQMyDWxUhOyUCiE8fFxnDt3Dn19fUcep95KVm5ubmJychLXr1/H06dPS17AHnZBf5zBslQPnqWlJYTD4ZJlLJpdPb0WKu0kk0Cr1Zr3+kgmkwgEAlhdXcXExEReANftdh8I0CmKgmQyiUwmYwToci/MGKAjKl/h7sZy3kOV3oxy2rE0FothZGTE2N2fu9iT67DnepyxT1GUvB48ka0tPPqN38DnPv7xbM+UUAjxvR5u7TduIL69jb7XX8fW48dYe+edvGPtLizA7HCg99VXITUtm0k3MoJkMIjO27dhcTqhWK1Y/PM/h6OtDZl4HP1vvIGVBw+g7V27+K9dQ2h2FqlwGJHVVVjcbrReugRnezuEyYTE5ib67l0AMIWvsLyDn4h+GyYzCr7HnUanqXHHq2bLSMh9H2qahmAweKD/qt5bgwE6ovIU24gipcTc3Bw2NjZw+/ZtOJ3Omp7TaQN8ub1Sr1+/jq2trZKPcxpCCLjdbrjdbgwMDEDTNEQiEezs7ODx48fIZDJ5vaWLZY9X4jyOq5bzsWYbj8p5vMLXR25v+snJSSSTSXg8HiNAl1v+OzdAt729jcHBQaTTaaPvoZ69qWfQsa8UUW2Vam1Q6Q0qhzlsI1tugI7XyUTNgwG5JlVqQjY/P4+1tTW89NJLcLlcxzpWvWTIaZqGqakp7O7ullWi8rRyG0EXK2Oh76L0+/15uyibMYDVrJOE0/Tssdls6O7uRnd3N4D9AO7y8jLC4XDRPhV6VoL+BeRn0OWWz9S/GKAjKi13I4oe+C5XNfrolHs8PVP75s2baGlpweTkZE3GlofvPcL7f/tvIh2JoO36dcQ2NyEBeM6fB0wmaK2tSG9tIb2xAXt7O+ytrdnMuHQaqUQCipRovXwZVq8Xqd1dyEwGrRcvYntiAlJV0Xn7NtKRCNx9fYgsL6Pv9dex9IUvoPXSpewimaIgHYnAf+UKTHY7pKpCsViQjkYRXlmBVFU4OjvRMpC9HriqvIswBG6aVfzrXSv+dWuy6r+jamn0DLnjPF7uY+oLD7kBOn1zislkMhYpiai4YhtRkskkRkdH4fF4cP/+/TNZvDvNgqa+EaWnpwfXr183Avm1OA9FUYzs8aGhIaiqamSPLywsQEqZ19qg1CaZamrGz8SzKFlZblsKvTf94OCgEcDNLf/t9XqNAK6+NqBn5BVWT9H7SgH7i+76+McAHVF1HNXa4KTjRiUDeMWqLB22kY3XyUTAJSFkrIz7rQKfklJ+XcVP6AgMyDWhYhOyVCqF0dFROJ1ODA8Pn+jCsx56yCUSCYyMjKCtrQ13796tyC7I0wyWh/XgefLkCdLpNLxe75lMzqqtmUtWlipbUo7cAC6w36dicXERkUgEdrvd2G2Z+zvNzaDTzyk3wADAKF3APgRE+/QFjcLdjeWqRtmukx5P0zRMTk4iGo3mbUQp99xOcr+0BP58fAba1BRaL13C0uc/D8/AABLBIDLRKDx9fdj5whfQ89priIdCCO6Vwda5rl6Ffe//YO4zn0HP8DBWvvhFONrb0ffaa4AQiKyswGS1wtPXh9aLF2H1+XDua74GwmKBmkxCsViw8qUvwdPfj1QohO3JSfS9+irMTidS4TDCKyuwd3ej9wagoQ9t8gMIaNjVBP5TxILv86RwztyYm2KaOSOh2AJoqfLOiUTCOD9mjxMdVKzMFgBsbW1hYmICV69eNfohn4Vy55Fra2uYmZnJ63Ney2yFQiaTCX6/H/693qiZTAaBQMDoLa2Xrs9kMk23GbOZx6NKPV5uAFcv/x0Oh7Gzs4OVlRVkMhl4vV6jdGXuxuJSfaWSyaTxnmbZOqLKKhw7i30OnGVArtixjwrQcSMbPe/iAL63jPv9M+BMLpQZkGsi+qAyPj6OS5cuGaU0tre38fTpU1y+fNkor3cSZzn5AfYnlNevXzcmQbnKuZCuxkJrsR48y8vLCIVCCAaDRgmLlpaWpgzUVUOtX3fVnAQW9qmIx+OYnp7G9vY2NjY2SpZALRWgy2Qyxs9zFykZoKPnkaZpWFhYgNlsRnt7e8UWVyqdIXeSzzS9V2pnZyeuXr16YMdmtf3HiAXq8kL288digZbJIDQ7i57hYaw+eADvuXMILy9j9UtfQvvNmxj4yq/ExsgIfOfPI76zg/DEBLTBQSTn5mDxeqEBOP8N3wAoCoJPnyLw7Bl6X30VK1/+MiAE+t94A/GNDay8/TYAwOJ2o/vePbTfuAGLywVN09D7yitYe+89pKNRmBwO+C9exObjx7jyFR5oylWYtQf4C5ZJ/HH6Gs6bNfx4yIZ/15ao+u+qGp6HDLnDHBag0zFAR887KSV2d3extLSEixcvGpnYz549Qzgcxr17907U+6waTjr26b1SE4kE7t+/n1ca8jTzt0rP/cxmc15vab10fSKRwAcffJB3Xe9yuRr686mZA3LVeixFUeDz+Yxgsr42sLm5ibGxMaiqWrQEarGydQD7ShFVUqkSlYXKCcjVCq+TiQ4SAIoXFK9PDMg1idzMgEgkYnwgT09PIxgM4u7du3m1zE/irDLkpJSYmppCMBgsOaHUB8l6G1z0HjyZTAYulwsDAwMIBoPY2dnBzMwMTCaTMUnzer0NdSHdzJOyWi1KCiHgdDrhdrvR3d2N9vb2vBKo8XgcLpcrr1F4YYBOVyxAl1vikgE6ama5uxuTyaRRprkSKt0/9STH00tU3rhxw+jlluuw8pen7Z8KAGEN+C9RC75tZQEdr72G5S9+0fjZ6oMH6H/jDWSSSUBR0HrhAmxeLxSLBd137yK8uAh3ZydMHR1oaW2Fdu0aEuEw0lJi5b33kNrZQcuVK+h44QUoZjO67t+Hlkxi6a230PfGG1AsFvTcv4/tiQmkIxHEd3YQ396GxemEs70d/qtXsfXkCfyXL2NzZAStN8/D1TqLzN4l7V+1vY0/Tl9Dr6Lht2Nm/AOvguuWsy+7fVIca/Nx4YEonz72qaqK3d1dCCEQi8UwOjqKjo6OilQUqYSTLGjqJSq7u7tx7dq1A+d/2LGO+hyr9gZTvXT9+vo6rl69Ck3TEAgEMDc3h2g0Crfbbcz9HA5H1c6j0VWyWkk90dcGbDYb7ty5U7QEam6AzmzOXtMwQEdUOSdtbVDOuHFWiQy8TibKBuQaKcjVSOdKJeiDij4RURQFsVgMk5OTaGtrw7179071YVvpRcnjSCQSGB0dRWtr66HnX4uyXZWgZ23oJWNSqRQCgQDW1tYwOTlZtL9YvWrWJuLA6XrIlft4esCssARqNBpFIBDA1NQUEokE3G53XoBOV+ziK5PJ5NVCZ4COmlHh7kaTyVQ3Pd/KPZ6e2RCJRMrulXrUguRx/GzYCpci4QgFsDU2Znzf0dkJ37lzMDscUGw2dN2+jY1HjxCYmoLV4zH6zHn6+xHd3ERwehrunh6Enj6FmkgAQqB7eBia2YxEMIjY8jKsbjeElOh55RVYXC50vvgiImtrsLe2wtnVhUwike1Ll8kgvLQET18f7D4fgvPzAIDBN1uyz00GAACvmd8B8DcwnlZgAfCRkBUfa2+8LLlaZ8jVe0CuUKmFh9z+q1x4oGZUWGbLZDJBSom1tTVMT08bvUbrxXHnXOvr65iamjr0/E+bIVcr+sY7p9OJvr4+SCmN/mKTk5NIJpNGf7HW1tayxvpmnY/V40bbaihWAlUP0M3NzUEIkReg0wNyxQJ0+sbs3ABd7tjHAB1Rea0N6qlk5UkdFqBLJBIIhULo7e3ldTI1FWbIUc2U6hmg94u7detW0Z31J1XpRUng8IttvcTmtWvX0NbWduS5lTvo1WqwLPY4VqsVXV1d6OrqArDfX2xhYQGRSAQulytvF2W9DY7NOimr9a7MUouSQmR7y7ndbgwMDBSdyHs8HuM1kps9WuziS+9XkEqlEA6H0d3dnbeLst5eX0SHKdWAW1EU43uVUOnNKEeNV3qv1Pb2dty5c+fQ92Wpc6vEe3lDFfj5sBUXzBpcZgXuF16Alk5jd2EB0bU1WBwOhGZnEd/aAgDYvF74r10DhIC9rQ3dLS1IR6OAEHB2dCCTSKDn7l1kEgksvfUWVt96C1137sDf1YXtYBCR+Xl4Ll3CzswMYDbD3toKe1sbzDYbFj/7WXTdvo31hw+RjkTQMzyMyNoaIsvL8F+9Cnd/P6589Ur2dyKnIWHBJeU9AEBQKhi2ZvAHcQseJFMYtjVWllytF0DrYew7jWLlnXMDdKurqxgYGDA2p3DhgRpRsTJbetlKk8mE4eHhvBKP9eCoSit6r9RYLHbkRpTTLnaeZeaCx+OBx+PB4OAgNE3D7u4uAoEAlpeXoapqXmsDPTvqOMetlWad+9ULs9mMtrY2Y+0jk8kY1XVmZ2chhDBeIz6fLy9AVzjvy+0rtb29Da/XC7fbbYx/z+Pvl55vmqYhlUoZny/HfQ/UU4DttHKfdyaTwe7uLrq7u7mRjZoKM+SoJopNyFRVNWru3759uyLBOKA6i5LFSCkxPT2NQCBw7J4HpQbJowaPWg0ux32cwv5ihdlRpYIvZ6GZd0nWa9muYhN5PUD35MkTpFIpY6dtS0vLgQCdPmlLp9PY2dlBW1tbXjCjcBclL76oXh3WgLvS5ZVr2UNuc3MTk5OTJXulFlOtCeJP7lohAHSM/Ba0xRmsvf2u8TPPwADS8bgRjDO7XPBfvQpICZPVivV330XLhQvZPnBSwnrrFhSzGXN//MdQzGZ037+PtXfeQWh2FqG5OfS/+SZim5tQEwm0Dg0hk0xCWK3IAEjE43BduoREIoHOu3dhsligSInk7jou/aWLGLifwbm7yzD3OQEAAimo4hp88hFsSCMJC5Iy+/r4SMiG3++MV+X3VS0MyJ1OYYBudXUVvb29RpkiAHklvrjwQPWscCOK/roOh8MYHR2FyWTCSy+9VJev4cPGvsN6pZ70WKc5j1pTFAUtLS1oaWnB+fPnoaoqgsFgXnaUPu/z+XxnnuHUrNl49aywuk46nUYwGMTW1hamp6eN9hctLS15r5HCa+Pt7W3YbDZYLBYkk0kAXHSn50epBIbjauQMuaPov49SG9kA5FVZ4mcFNQJmyFFVlcoMiEQiGB0dRV9fHzKZjLEAXwnVKtuVe47JZBIjIyNoaWk5UYnNRilZeRKF2VGapiEcDiMQCODx48fIZDJGCYvW1tZj76JsRPUaIKvk45Xz/BRFgdfrhdfrxblz54zXyM7ODlZWVpDJZPICdPpuY1VVjYVHnV6+QZ+k5ZY50XdR8uKL6sFRDbirEUCrdkBO0zRMTU1hd3f32BtRSh2rEqbTAr8aseC2VcPX/+I/wtrbK+h7800sv/UWPH190NJpqIkEel95BVomg83xcay+8w763nwTS2+9BQCIbWyg684dJG02OCwWxHd20HrpEtKxGIJTU+h7803ITAY7ExNY+sIXkEkkkIlG0fvKKwhMTqLn3j2sfPnL0DIZuHp70PbKZfguqOi5tobLr6zA1x7OO+f3Iv8r7tqeAgCk8EPIp/hG2yj+W/IOHqUV9Js0fC5pxp8mTPgau1rx31m1NHvJyrMYVwoXHnL7rwL7ATqWd6Z6olc60Huk6p//i4uLWF5exq1btzA+Pl7x12ulPoNKjVdH9Uo9ybF09RDMKWd8NplMedlR6XQagUDA+B1ZrVZj3ufxeGr+HJt5M2Ytnea6zWKxoKOjAx0dHQCyFZGCwSA2NjYwNTUFs9mc9xrRxzpN04zFdP0c2FeKngfllKgsdNL7NPJ7p1ilidx+ewCvk4kqrXlX8ptQqQnZ0tISFhYW8MILL8Dj8SAcDlc8S6CSZcAKJyp6icqrV68au8BOcqxmpygKfD4ffD4fhoaG8ppAz8/PGyUs9MbulQzGFtPMk7JGDQDmvkb04+qvkaWlJaiqCp/PB7PZfGAymJtBB+QH6PTPGYvFYmQRMEBHtVYqM6BQNTLkKhn0Kjw/vURlW1sb7t69e6L3VbUCch8J2ZCGgBUp/O2fWcfsl4cx+5YGq+NDUFUzkoEAtsbHsxlwe/reeAPLe8E434ULcHV1YWt8HLaBAcjW1rwedIrVCqvbjejqKlovX8b6w4foHR5GIhhEJpGAu7sbanIbw9/7Cs6/HsG5u89gc34OqrgFk5woes7vp17GXfz23r+yAbe/Yn2A/5a8A0BgyKRiSVXwI0Ebvrorhkb5+GrmsbbWm1+KKVbmKzdAJwT7r9LZK1ZmK51OY2xsDFarFcPDw0YPuUrSx6tKzCkKx6vT9Eo9rDLKUeNiPW/GLGSxWNDZ2YnOzk4A2esF/Zo+HA7D6XQaQZRmC2A12/PJVcmxz2q15r1GkskkAoEAVldXMTExYQRx9fmcrtjYxwAdNZtMJnMggaEc5WzObJRx5iilAnS518m5nxW8TqZ6wJKVVBXFJmSZTAbj4+NGzwA9U6reFyX1CZGUEjMzM9je3sbdu3dht9vLOlY5z7WWk7JKP05hE2i9hMXKygref/99Y4ec3++v2i5KLhJWRrXKhCmKYuySBGAEcZeXl7G7u4vd3d28RuG5WZa5ATr9tVvYKDy3zNdZL6pScyu2EaWURsqQ29rawsTExLF6pR51rEp5L6ngf8TNEJCwqyPwtql46Rse4KVvAFLaV+DL/z6Jt/7NBNS9zwIA6N/LjOt86SUIRcH6w4cIzcyg86WXsPn4McLpNHpfew0rX/oSrF4vfOfOIbaxge3JSTj9fnTfuYX2ax60DrrRdWUNQ3c3YXNFizxhC1Di6X4uM4y/vfd3LT0HmIB7pgcAvgcAMJFWYIbEB2kTfi9uxrc4M8UPVIdqmSHXbCUrcx3nvVJskbJwQYcBOqqVUmW29GoZFy9eRHd3d9Uev5Jzv9yxOZFI4NGjR+jo6DiyV2oxzVKy8qTsdjt6enrQ09MDKSVisRjm5+exs7ODBw8e5LU2KGc+fZRm3SBS69dDNcc+m82G7u5u43NBD+LGYjGMjo7CbrcbrxG32238jksF6NhXihrRYa0NaqHSc8dqKmf85UY2qncsWUkVVZgqrF/EhUIhjI+P4/z58+jp6cm7T70vSiqKgmQyiUePHsHr9eLevXtlX5yeZrdLLS7CazEI6SUs5ubmcP/+fWOH3PLyMsLhsHEB7vf74XQ6T31OzdxHoFkDgHoQN5VKwefzobe318ig03tV5AbochuF6/cHGKCj2jppA+5G6CGnZwYEg8ETlagsdqxKfxb/85ANEgLXzCqumt7J+5lizuBDf+dLeOEbe/DJf34dU598D31vvAGpqmi9dAkbjx7l3d7e2gqZTsNktSI4NYnzf/lD8PY64e3OwNMVR/uFC+i6tAhnyzIAQMUgTFgoeW4SpbM0tpUuxOVFOMQ0rKZ1pFUfetNfNH6+KRXcsWTwftqMfxGy4pscGZg4P8xzFmNtLceKcqoHFFt4SKfTDNBR1RUrs6VvYtza2sKdO3fgcDiqeg6VnPvp56/3Sj1JicpSx3qeCSHgcrng9/uN9gZ6a4OnT58a1/p68MViOf3SVLPO/Wr9Wqrl2KcHcVdXV/Hiiy8aZVAXFhYQjUbzAnQul+tAgO6wvlIM0FE9Oqq1QTk45pTGjWxUj5ghRxVTakI2NzeH9fV13L59G06n88D96n1RMp1O44MPPsC1a9eMOujl4iB5UO4OOSkl4vE4AoEAZmdnEY1G4Xa7jQvwcib0zbpLEmj+LAH98cxmc16vikwmg2AwiJ2dHczOzkIIkdco/LAAnf45lRugy52kMUBHJ1VuA+5qBNAqOb6oqoqFhQV0d3efqFdqqXOr5HP9TNyEzyWzl4TtJombynj+48kIAKC1bxX/+6+s4ukX/wKi60mYTCqsTi+srhdgcyZhdSZhdSVgccdgs5tgsaYAbCOiWOHW/qjk42vCB9Ohv+rSwRQFAtPaa7hlms7+23IRbaYR+OJxhJAd46LRKGD1YTJjwq9sZ/B/tnEBKdfzMvadRrHyzoUBusKxj68xOil9E2buRpREIoHR0VH4fD7cv3+/Ju+dSo6nUkqEw2HMz8+fuERloUbJkKvl3FQIcaCvtL7pbnFxEVJKtLS0HNh0V87j1EKt55m13hxS63mR/pgOhwMOhwO9vb156wNzc3OIRqNwOp3G+kDuBt7jBOhyF90ZoKNaO25rg3KcdNxolLXJapzjcTey5W7i5mcFVRoz5KgiimUGJJNJjI2Nwe12Y3h4uGZ9dCo1sEgpMTs7i1gshrt376KlpeXMzq1RBsvTEkLA6XTC6XSir68PUkpEIhEEAgFMTk4imUzC6/UaF+CnmSRXAzPkavN4ZrMZ7e3tRg9HvQzq1tYWpqenYTKZ8gJ0+jGKXXhJKZFMJpFMJgEAsVgMXq8XNpuNATo60mkacFdj7KuU7e1tLCwsoLOzE5cvXz718So5hkkJ/HBoP1NvMyNw0TGd/3jYzPt3x5seXNP+pOQxM6ITZqka/96R3XAfcg4qXEdcPJdeQDRB4vOZN3HL9BsAAAkHBDL4a/b38Z8SbwAAnlm96BQqNqQJ/ybqxI3pt9DidBRdfHoencXYl1squdqqsQhaLECX2381lUrBbDbD7XbDbDafSekkahylNqLoWWXlljcuV6VKVuq9UoUQJ+6VWkwjzN/O+n1eWLY+d9PdzMyMcU3f2toKr9d7rM/GZt2M2ezzTP0xC/+Pi60PxGIxBAIBzMzMIBaLwe12G4Fch8NxaIAut5qTpmlIJpPw+/3MiqGq0zd8rK+vY2BgoOKvtVJjTqnHaYQxqla4kY3OAgNydCqlJmR6v5krV64cmVVWjxlyqVQKo6OjRnZWJQM/5QbknkdCCHg8Hng8HgwODkLTNOzu7holLlVVzdtFWWzBrJknSnoQoJaPV+udmccpXaOXQdU/a1KpFILBIDY2NjA1NWX0KWxtbYXH4zk0QDc9PY0rV64gk8lASpm3M0pfpCQCYIx9xy1RWageJ0H6eyAQCGBoaKhix63kc/3tmBmj6eyEqUPRMKEq6FeWjJ9L2CDket591rV+HLY0LJDK+/eS1ofBQ/47VeEs2SNOP2IpEsDHUx/C37Xpt8xm8/0l6wMjIKdB4IpFYiMFrCs2PLr+Bv6mKZi3+KT34PH7/WWXEm1U9bI5pJqPV25WyHEVLjxsb29DSmmUldezx/XxjwE60hUrs6VpGiYnJxGNRk+dVVaOSmRh63PXy5cvG+XRK3FejZAhV08KN92lUikEAgGsra1hcnISNputaG+xs1LLuV+zj33A8dY89DKoLpcL/f39kFIiGo0iEAhgamoKiUTiQIAu9765a1bpdBrT09PGbfSxUV9456I7VYqewJBKpbCzs4PBwcGKPwZfq5Vz2EY2IL/KEjey0Wk0UpCrkc616ZWakD179gzhcPjY/WYqXcrqtLsk9Qbkly9fRmdnJx49elTxvgTlaMayJSelKApaWlrQ0tKC8+fPQ1VVBIPBvN5i+iRNz4xq5oBcrUuXNEpGntVqRWdnJzo7OwHA6FO4urqKiYkJWK3WvMl8boBO0zRYrVaYTCajzEkikTCeO/sQULklKgtVejPKaSWTSYyMjKClpQV3797F2tqaMek4rUotLCYl8GM52XGXzBo2U2Z0iC3jexp6YMJc3v3m1X7cOCy+IfOf55Q6iNfMAqJE1E2V9hOfe64/y1xHBp0wYwOKNgMJgTumd/NuM5tRICAhIfBTYSv+Ro8L/TmLT3oPnsePHyOdTle8B089a5SxqFEeT39Mq9UKs9nM/qtUVGGZLX3uF41GMTo6iu7ubly9evVMrotOM55KKTE1NWX0SjWZTJidna3IeZ221HM9z8lOqtzPbavViq6uLnR1dQGAUbpwYWEBkUgELpcrr7WB/ntrxjKSzT72lUsIAbfbbfQoLFZhR9/E1Nramrc+pW+AyW1voKoqMpmMcWz2laLTKJw36msM9aCRxpmzft8dVWmi8DqZATo6DmbI0YmVmpDFYjGMjo6io6PjRGU+qlG2q5zj6f3uNjY28hqQV3KgqveSlY02aJhMprzeYnoD6I2NDTx79gxWqxU2m80oTVjt5/c8TJQa8fnl9ikEsiWJ9CzLcDict9s2k8nk9aArzKDTA3Q6PUCXSCTgdDrrrowqVVYlG3DXU0BuZ2cHT548yctqr+T5VWoM+/cRC+bV/c+EzN6fHhHZv5HiB7Q5458SAhNaP77+kICcQCLv38taOzS0woSdordXj7x0Lv260PZ+toLXMIjfg0AYqriAAeQH5JY1BS9ZVDxKm7CtKfi5sBU/4MsGR4Q4Xg+eTCYDVVWrnm1Va7UuIdmMGXKFcl8n+uda7gIlUDxAp4+LHo+npudLtaWXblJVNW/sW1lZwdzcHG7evAmfz3fiY1bqmrLcMUbvd9fa2mr0SlVVtaLzvnoZ55tFYW+xwswoj8eDRCKBVCpVVu/xk6pltZLnYXNIJRSrsKMH6J48eYJUKmW0wNAXz3PvWzj3y2QyB/pKmc1mRCKRmpbmpcZTrLVBpUosV0KjBOTq8RxzA3SF18lzc3O4cOECN7LRkQQaK8jVSOfalAp3eOgXLGtra5iensbNmzdP3GtNURRjF1IllDPI6SUqXS7XgQbktQjINVogrF5ZLJa8zKhEIoGFhQUEAgE8ePDAaADt9/vz6stXyvNQ27+WqrWQbLfb0dPTY5Tmyt1tq28s0AN0LpfrQB8CXW6A7gd/8Afx4Q9/GF/7tV9b8fOls1eNBtz1EJCTUmJmZgbb29u4e/cu7Pb9zK962IySa1cD/s3ufsDbAomnKRMACSv2M9wk8hfgMuhDVB6erS8Qz/v3uuZHUnTDKYsH5LRTXI5m9gJyD9Q3MGj6PQCAFJ2wa2+jT4SwLPcXtW1i/3f282Er/o47jTbTwd9jqR48q6ureP/9940ePH6/P69sb6Nq9s0v1eghd5zHLDXeHhag+/znP49Pf/rT+Lmf+7nanCjVXLE+4ZlMBk+ePIGUEsPDwycOkFe6gkU54+n29jaePn16oN9dvSyW1nKhtB6ebzkKM6M0TUM4HMaTJ08wNTUFTdPyssersZGjmSuxNGpArpCiKAc2MektMLa2tpBIJDAxMWG0wMjdXFls7pdOp5FKpfA1X/M1ePTo0Vk8JWoA+ryxsLXBWWzUaPY1o7NWeJ28vb2NCxcusNIEHYkZcnRs+g7s+fl5XLt2zdhF+OTJE2QyGQwPD5dVJqnSE5+TDnLBYBDj4+O4dOmSUQ6j8HhnvSjZKLtX6o3dbjeaNJ8/f95oAD01NYV4PF7xHjwMyFVWrSaCubttHzx4gEuXLhllUKPRqBHIbW1thdPpLBqgi8VicLlcVT9Xqj198v3+++/j9u3bZ7qAWEmpVAojIyPweDy4d+/egfdaPYx9uX5m14odbf8cr1s0jKRNGFTmYBKlf487uFay9OS+/IDcitaKCLrhxOOit1YPyYDLKn0+aWSfw/9IfgW+1al/N1ue8lvt7+Cj8f2g/gcpE9oUDduagrAU+De7VvxE69FlRM1mM9ra2mC323H//n2jB8/KykpeVrDf78/bdNAomj1L4KxKVh53A0zuwkMsFoPb7a7mqdEZ0TeiTE5Ooq2tzdhwubu7i7GxMZw7dw59fX1lHVsf/yr1Oj/JGJPbK7VUe4V6GPtq9bncaJ//h1EUBT6fDw6HA9euXYPZbDayx+fn5yGEMPqK+Xy+imz6Yw+5yqnVWkduCwyv14tAIIC2tjYEAgEsLS1BVVUjkNvS0pK3vqVnxdS6jzs1jqNaG9TTul49nUsz0deIcjey6dmSuQG63DYoDNA9n5ghR0cqzAxIJBIQQiAcDmNsbAz9/f3o7+8v+6Kk0ouSxz2elBLz8/NYW1vDyy+/DKfTWfR29VC2i4Nl+XJ3JRU2gA6Hw9jZ2cHjx4+RyWTg9Xrh9/sPXHyf9LFqpVl2LpZyViU5nU4nnE4n+vr6IKU0ArkzMzOIx+NwuVx5jcL1HioMyDWf3MyAWCxW0ff3WQbk9N5juSUqC9VTQG5NFfiFSH45WM9e9tiw6UH+YyGW9+95eXhATsIEgVTe95ZUPwKyB50l7qMdGeAr/fPUXkDud5J38WtOFxREoch1AMBfsDzIC8ilIXDdrOKtVPY+vxKx4Hs9KfSbT/a7LNWDR990oPfg0bPH612zj7VnMfaVm5XHsa855ZbZ0su1SSmxsLCAlZUVvPjii6cKxJ7V3C+3V6peorJQJT9bDjvWccZFzv1Ox2Qywe/3w+/3A8i2NggGg9ja2sL09DTMZnNe9ng5//fMkGvcxwP2s8NzqwyoqmoEchcWFiClzAvQmc1mxOPxhrheoto6TmuDs96QmYtB5doolmkrpUQymTT6tTNA93xihhwdqrBngMlkQiaTwcLCApaXl3Hr1q1T942oRg+5oyYw6XQao6OjcDgcGB4ePvQDr54WJWuh3s/vpEo9n9wePENDQ1BVFbu7u9jZ2TEuvltaWuD3+4+9i/IsMtaa+UKqHnofFQvk5var+Mmf/EmoqopEIoFQKHSiY3/3d383fv/3fx+dnZ0YGxsr9tgCwEcB/BUAMQDfJaV8vxLPiw5XbHejnn19Fjv6K0VKidnZWWxubub1Si2m0mPzaZ7rT4SsiMn8z7olNfvvF0yjed8Xcjvv3+PqDSiHBtCcAMJ531lQ/diS3bha4uNV4qgy26V/b0mRff0kYcG2uIcO+VkIOQsJF140vXvg9vrzzN5H4Cd2rfh5/9FZcoeNR6V68ExOTiKZTOZlj9djX8yzWCSs5Vh7FmNfuY8ZjUaZIddkCktUmkwmpFIpfPDBB3A4HHjllVdO/f47i4CcXqLy6tWraG9vr9hjV0sjzBlPopbPpdT4Z7FY0NHRYWxESiaTeT2l7XZ70ZL15TxWNTR7gKxessMLA7mZTMYI0L3zzjv4yEc+gpdeegmKoiASiZxoDOTcrzkVJjAc1me83j7b6+lcnhfHCdCZTCajvKXZbG7qNT9qHAzI1VCxngF60MLpdGJ4eLgiCwa1npSFQiGMjY3h4sWL6O7uPvJ49RCQq9XAXetyi7VynOdVuDtO78Gj76I8Tg+eZi8hWesLtnoslVLYr+LXfu3X8ODBA/zgD/4gfvRHfxTr6+u4e/cuvvqrvxof/vCHD52kfdd3fRe+7/u+D9/5nd9Z6iZfD+Dy3tcrAH5x70+qomINuAEYJWoqGZCrhlKfQ3qvVLfbfaBXaqnzq+TYV65FkxO/Hs3fOzZg0jCvZq8/rpomjO9LKBByNe+2X05fxwXTWsnjS+GAkPsBOQkTVqQHq1o3UOoSR6YPPWdxSMAujv3f+4j6Bv6C8lkIaFCVi+jR3jtw+znVhJsWFePp7Mn8l6gFf9+TxhVL5TL3i/Xg2dnZwdjYmFG6Sc8er0YPnpM6i/LQzb4oWW5ALhKJGH17qbGVKrOVTCaxtLSEGzduVOz/upabMQ/rlVpVUmL5rV9C+DP/DXPhv4Se1/46bN7eY9+9GXvI1Vsmmc1mQ3d3N7q7uyGlPJA97na7jblhqQ1MzJBr3McDjjf26WXA29racOnSJbzyyiv4+Mc/jvfffx9f+7VfC4vFgq/8yq/E133d1+HNN9889Fic+zWfwgSGo96jte5Tqp9Tsc+PegsOltLsa2zFAnSapiGRSBjf0wN0egZdM/8+nicsWUkHlJqQ6SWuLBYLbt68WbHHq0ZArtjAopdaWV1dPbREZaFKNl49zaDXCINlPSp3ADebzWhvbzd20RbrweP3+/N2UTbzxcJZPLdyS2iVq5yJoNlsxuuvvw5FUfCJT3wCZrMZ7733Hv7sz/4MyWTy0IDchz70IczNzR12+G8G8Gsy++b/shCiRQjRI2VBxIEqplQDbqC+SoyUUupzSB+/L1++fOwF1UoH5Mr93f2K5wIyBT3bBk0aFtXse/WcMm98X6IHCpbzbvuZ9Av4nkMCckB+/yANXkgomFd7SgbkLCICKZ0HymPuU0s+WkYosEIiBYE/Sn0F/oJdP3cvrBjBVdM6JtT8frZ6ec7skQX+RciKX2tP4DDlfmbrPXh8Ph/Onz+fV7ppbm6uaA+es8j0bOZFSVVVyyqbfdrHLCcgxx5yzaHYRhS919r29jaGhoYqGnit1WZMvVeq1+st2iu1GlLhVUz89g9g8hP/E8/+OAIhgK0/ewtL7/8Qum440P/qJfS//pXofu1/gaPnpaqfz1Gq/VmaWH+C6V/9p3j2Ow9w84f/HtD/z6r6eOUqVrI+EonkZY97vV4jQKdnjzNDrnLOKjv8pJUA/H4/Xn/9dXzwwQf4zd/8Tezs7OCzn/0sJiYmjgzIce7XXIolMByl1kEwTdOwuroKh8MBr9fLUohVVon/Wwbonh8sWUl5Sk3IZmZmsLW1hZdffhkPHz6s6GNWY5dk4fHS6TTGxsZgs9mOLFFZ7PzqIUOu2TTabsLj9OCxWCxN+X8F1E8ZkWo6zUQwmUzCZrNBCIFXXnkFr7xSkc2MfQAWc/69tPc9Tsoq7KgG3EBjBOT0c9TPX0qJubk5bGxsHFmistixzjpD7kFSwVv2g4vAkZzylT1iP9gmlXZA2w/IZdCBWbXtiB5y+dkSGZHNkp7RSmcy2BBGGu2wYqHELQ4vaemGxA4Efj3xBv6V3QQBFQLZSda32h7gx2LflHf7hykTvEJid+95/17cjPdTCu5YS78eKzX2HbcHj6qqNVuYbPZFyVqPffpjsofc86dUma1EIoGRkRH4/X4MDQ1V/HErudkRKD5e7ezs4MmTJ4f2Sq2k7dHfx+h//gjWR8ew8LYGda+ysASw9B4wcA9YeBDH2ugo3v33owD+f2gZNKP/lT70vTqMntf+GlpvfB2Ekn3vN0rmQjFaOo7NL/1nPPsPP4eZP1iCttemdfrnfgqtvja0v/F3q/r4lRiLhBDweDzweDwYHByEpmnY3d01SlyqqoqWlhYkk8maXRueRXZ4M29+AU5Xrlkf+/x+Pz784Q9X6pQ492sAuWNnqXljPYjH4xgZGYHH40EwGMTk5GTepnKAm/4rrRqfmwzQNS9myJFBb9oN5E/IRkdH4fP5jlXiqhzV3iUZCoUwPj6OCxcuHKtEZaHnqWQlwEH5uIr14FlYWMDu7i4ePHhQ9z14TuosJkm1ngjWQ886qr3jNOAG9ktW1rPcRclUKoWxsTE4HI6yxu96GPv+ech24HtOIfEkvf9cWkTQ+LtEfmAgJK4DwOE95IQVuT9OogUA8DRTOiBnwS6Sog1WWSIgJ1Ml7ysh4FI07GgK1qUHEfECPPIhhJbN9PsqywP8GPIDcgkI3LFk8MWU2TjGjwRt+L3OeOnnVSXFevBsb28jnU7jnXfeMXrw+P1+OJ3OqnyGN/si4VmNt+UG5Jgh15gKN6Lo76mNjQ08e/YM169fh9/vx/LysjE/rJRqbsbM7ZVa7RKVWjqOZ//9n+PRf/o1qMkg1h8DiSLthKUGLLwDDL4CLLy9//3gQgbBhXmMfXwewMfhaBXou9eOvldfhOXyfXiHvwNAW9XO/zS0dBy7819C6NkDhGbGEJieQXB2FTITRTqUgBMCwSlpBOMAYO0LKsY/8gO49SNmtL36t8/u5MugKApaWlrQ0tJiZI8Hg0FsbGxgbGwMiqIY2XM+n68qn+G17mf6vGTIlfMcT9o7jppHqdYG9WZzcxOTk5O4ceMGXC6Xce2cu6l8d3cXQgg4HA74/f4Tbdyk4moxRykVoIvH43mtNhigq3/MkKOSEzL9Q/zatWtoa6veZKBaJSullFhcXMTy8jJeeumlsnfw1kMfnVp9gDbjB3WtBkW32422tja4XC4MDAzUfQ+ekzqLBUKgtq/JcieCVXyNLQMYyPl3/973qAJO0oAbyI4tqlq6FGE90Bclg8EgxsfHcenSJSOrt9xjVeq8TjqO/mHchC8kD35W3rBoeDe1/z51iNzSjfn/f4vatb2/HfbY+ZfBib2A3ONMT8l7mOUugrgAT4mfC5RevJYAHDmnOaG9jnviIRRsQkMvbijvFr3fppb/3P4sacbnEiZ8yF78NVmroJXNZkNXVxdWV1dx584dY6I/MzNjlDPUA3SVWhhv9gBZI20OYcnKxlRsI4qqqpiYmEAikcD9+/eNzWQmkwnJZLKij1+tud9Je6WWK7z0PkZ++R/h0a9/Eb5+DcEFILx+xJ1kNhh37lVg/svFbxIPSEx9ZhNTn/kTAH8Ck+0n0fOSB/2vXEXv61+Drle/HY62i5V+OiUdDLpNIzCzhuBsCMHFDLScZHB3B9A+BCy/B7RdUrA5qcF3Hsi4gGjO72ZzVcV73/7/xb2PW+G/9zeqct61GP9MJhPa2trgcDjw4osvQkqJQCBgBLStVqsx9rnd7oqcT7P3M22kaixVHPs496tj5ZSorDUpJSYmJhCJRIyxPJXa3xmRu6l8Z2cHq6ur0DTNKM3bbJvKa+0s2rzor8XcCjmFATqz2Wx8MUBXPxiQe84Vm5DpH8jRaBT37t2DzXZwh3olVWuX5KNHj2CxWDA8PHyqhY1alaw86kORmWv1Tx+AS/Xg2dnZyevB4/f74fV6y3591rr+eL2WY6iU0yyCVuni6xMAvk8I8VvINvQOsYdAZZy0ATfQGCUrhRBYWFjA9vb2iXqlljrWWWXIaRL4kSLZcQBgzQmu2RCHBfuTTIH8zLQn2l6GnDjssfMvLaMyW8JlTXqhwQUF0QP3MCGMXXSgdM596Qw5ALDnPIc/S7+Je9ZfAABoSj86tfeK3udZxoSrZhUTmf3PqB8O2fCn9lJ97Gond2GiVA+ep0+fIpVKwev1GptTyp3on9Vkt1YaabxlycrGUrgRRX+dRSIRjI6Oore3F9evXz/QP7XSm1GqMfeLRCKYn58/Ua/UE5ESC3/2s/jgF38WE3+4jO6bgNkOLL5zssPMfxk49xow/6Wjb6smgaUHYSw9eBf4uXcB8a/QftmK/leG0PfaG+h5/VvhPf8mcIrPJ5lJYHf6z7G1PIrg9BiCM6WDbsWYHcDAbWDtIbC097twttqQQhyhWcDRDrReBgLPsj+LzAGtHxJ498P/F+5/woLWl7+j7HMv+ZxqOEboj2U2m9HZ2Wm89hKJBAKBABYWFhCJROB0Oo1FbofDUdb5NXuArJFKVkYikWqNfZz71aHjtDaoB4lEArFYDBaLBXfu3Dnyc0ZRFFgsFgwMDGBgYACaptXtpvJGCSCdxRylULEAXW6JVSAboNMz6BRFOfNzfp41UpCrkc61rpWakMViMYyMjKCrqwtXr16tyRuz0pOy3d1dRKNRnD9/Hr29pUtOHVctsgT0xeFSi1ON3EfgrJ3FpKxQqR48GxsbmJqaMnrw+P1+eDyeuhwQG2mBsFzlPsdyy518+7d/O/78z/8cW1tb6O/vx4/8yI8Yn8nf8z3fAwCfBPBXAEwBiAH4myd+EDqg3N2N1SpZWanPqHQ6jd3dXWMjymnfr7XajJJOpw/03/xYzIzH6eILJFOZ/ed1z/Re/jqkDOTd9p30jezjH9pDLv9xImjdPzfRDZucPnAfgQTCsrUwIS/noIdnk1hy7vcbiQ/h+42h3wIzNvGKeQ5vZ4YO3K9NyX8e76ZM+P2YGd/oPLhiWg9jX6kePDs7O1haWoKmacZE3+fzHXui3+zjUSM9v0gkAo+nVK4o1ZNiG1GklFhZWcH8/Dxu3boFr9d74H7V2IxSyWNKKbG9vY1QKITh4eGKl9xK7q5g/D//33j/V34fW5MpdFwFOq4AK4/KP+b8lw7PlCtJAluTKWxNTuLhr08C+E/wdCvoG+5B36t30fv6N6HtxW+BYs7f0KKl49id+yJCUw+yQbfpGQRm1xCYCSG0dHTQrRghgMH7QHAGWCwMLmoWANmSyvEtIB0FrLf7kXq4BABYeUei2w+8+y1/F/f/pwUtL37byU+gTpQa/+x2O3p6etDT0wMpJWKxGAKBAKamphCPx/OyUI67+bnZyzWXO5867WOW20OunAw5zv0az3FbG5w1vbqZzWbDhQsXjnWfwudSalO5XuJS31Sul+atVTWHRloHrYeAXKFSAbpMJjv4h0IheL1eOJ1OBuhqTACwlBPlKuO6rRIYkKuAUpkBKysrmJubw82bN+Hz+Wp2PpWalEkpsbS0hKWlJSMNuxIqHQwrPFYikcCjR4+M3ad65lQtB7laq+WgWuvHOs7gVawHj75AGQ6HjTrera2tJXvwnMWkrNkH5lpPyj72sY8d+nOZffF+74kPTEWdtgF3NbIE9PHltO+tUChk9Iu7cOFCRRY0qp0hp2fjb21tAYCxOOVs9ePHQsV3HV82q3iWkyH2svmDvJ8rBZuI/yR1M/v4h5aszH/Ph2SL8fcoumHDwYAcAMSlu2RATuDwgFzuxeyI2oekOA+bnIVANqD4YdvbRQNyIykTnEIiJvcf+EdDVvwVRwZKwbnUOiB3nNdcbg8eINu7WM8en52dNX6uZ4+XOmY9TnYrqdYlK0/zPo9GowzINYBiG1EymQzGx8ehKAqGh4dLBsSrsRmlUnM/vUSllBIDAwMVDcZtPfof+OCXfgSj//UJUlGgZRDouwMsv1+Z458kU+4w4TUNTz+xjKefWIbZ/gl0XPs/0ftyDxzd57H+3lNsTZYfdCul5xagxoDlB8V/ntzKf7BMHMDIMrq+QmD98xJqHEj1Coh3JN755v83hn/fAt/Nb6nY+dXDhpRcQgi4XC64XC709/dDSmlkoTx+/BiZTCYve9xiKV7AqtkDcuWWjzyN08z92tvbT3w/zv0ax0lbG5wVTdMwNTWF3d1d3Lt3D++9V7zSRimHXQOW2lS+tbWF6enphthUXmuNMEcpfC2vrq7mbY7Vs771LwboqkcIoKzEUwbkGlOpCdmTJ0+gadqhE7JclfygqcSkTJ9UmkwmDA8P4+233z76TsdUyUXJwoyDnZ0dPHnyBFeuXIHX6zUaROuDnMViQWtrK7xeb01KpTVrJl49TcqKsdlsebso4/E4dnZ28nrw6AE6vQdPrf+fpJQNs0BYrtNMyliyq75VogF3NbMEyl3wkFJiYWEBq6urePnllzE1NVXRIFq1ssOTySQePXqEtrY23L9/P29x6t8GglhyF+9b26VIPMv59w3lsfF3DW1QsJ3z7xaMqH0AAOXQgFz+7z6g7WfI7cou+EvcK47D3vOJkj+RECj8lJmTr+MqZqFoM5Cw4E3LuwD+1wP3jUDgNUsGX0rtX6c9yZjwWzEzvsN1RlfmKH/sM5vNaGtrM/oUp1IpBINBrK2tYXJyElar1Rj7cnvwNFIGWTkaqUxYPB4/VWlcqq5SZbZCoRDGx8cxNDR05AbGes2Qy+2VKqVENHqwvPBJqakonv3O/4OpX/zP+Nw72XLArnag6yaw9B4QXDj1Q+QpO1MOgKsD8PYA1r2hyGQFkmFg46nE6sMV9N6NILyyi5Z+IDBfmfNtPQe4W4DVQ7IDzXYgPl+klLImsf55ZINyX5DYfEdi8B6QeFfinb/6XRj+g9+E99o3VOZEa+yk458QAl6vF16vF0NDQ1BV1cgeX1hYgJSy6AbdRhobGuHxgPKz8mKxGOd+Taxw7KzXYEQikcDIyAja2tpw9+5d4zyPe11+0rW/YpvKA4EAlpaWEIlEYLfbjQBdqU3lza4RAnKFNE0zessB+6//3GA0A3TVIQRgaaAcHAbkylRqQra7u4uxsTEMDg6ir6/v2H106ikgFw6HMTo6eqxJZTkqPRGVUkJKibm5OWxsbODu3btGs1Wz2Yz29nZjx5Vef35paQm7u7sYHx83Bjk9MEOHq2UD7Eo8Vm4PHn0XZSQSwc7OjtGDRy8lUEt6Rm2tnMXFDANyzalSDbjrbVEynU5jfHwcVqsV9+/fh8lkqug5VitDTt+Icu3aNfj9fiNj0efzQXp8+K1VN1DiKWxm8s/nomnK+LsUXYDcD8jtiqv7j39oQC7flmzN+Xs3hkq8XBKy9BgskIaECQIHMyolABT0tPti5g1cNf8mBBJQxVVcFaWbEgW1gyf0EyEbvtWZgTXnR7X8DK1UBrXVaj3Qg0dfoNR78Pj9fqPESrOqddmu02Tkqap6pj1FqLRiG1H0+cf6+jpu3759rGBqvfWQk1Jifn4e6+vrRq/UjY2N080lF9/Fo3/3j/Dw176MyEb2ODY30P0CsPwBsFgiE6wS5r8MDL4CLJTYSyrMQOsA4GoDFDOQjAChZUAogMWRDcKtPwFk4X+RyYzwKhBeBVqHAGdr9rmUw9EKdF8Blt8DwkcE9/zngMRE6Z+vf16i7Z5A8InE1hrgdQCpTQ0Pvul/xyuf/Dg8l/9ieSdZoJEWC00mE1pbW9Hamr3+yGQyCAaD2N7exvT0tPHzdDpdVkWOcp1FycpaZ8iVm5UXiURq+n9BtaNpGjY3N+H1eus6GLe1tYWJiQlcu3bN2NgGnKz6ymmfm81mQ3d3N7q7u41N5YFAIG9T+fO2dtmoAbncz/rC171eYa8wQGexWIz1h0Z7zvWi7Ay5M9JAp1o/Sk3IFhYWsLKyghdffPFEFxT6xKxSF2jlLvpJKbG8vIzFxcUTP4eTqHSWQCaTwcOHD2G323H//n1jUnpY/fmOjg48evQIg4ODCAQCRmBGr+Hc2trKBZE6UI0BOLcHz7lz56BpGkKhELa3txGLxfDuu+8ar4OWlpaqTWRqGdgEzq6PQDnvI07K6lOlG3CbTKa6WZTUsxvOnz+Pnp6evOPVou9bOcfSNM1YCL579y7sdruxQUX/3Py3u9aiAScAaIGKSdWcVyayX1ky/i6FB7lxtxV5bf/xTxCQ28zJkFvXegorWhpSsnhJqX0OAJGiPyk8m/+a/Ar8zb2PHina4NceQkCDxMHX7JOMCefNGmZzeunNqwr+Y8SC7/Gk9x+jzkp2lcNut6O3txe9vb15PXhisRg++OADeDweI4PuuD14GkGty3aVuwjajBUVmoU+9uVuRNHLO7pcrhP1Ga2nzSjpdBpjY2N5cyigzPFKSsz/8U/jg1/6OUx+atUo6WiyZktTbjw5fTnJ41p4GxgcBjYmAF8/YPMAUgNi20BwEdiZzX61ngO8vYCzDdieAiLrxY8nzIBm3n9PB+ayXx1XAZMFWBs73nmZrMDgXWBjDFg8ZvEZZ8thOeJZ2+9KeK8AqV3AfF8g9TmJ1LqGB9/0v+CVT/53uC989fEerEkVbtBNpVIIBAJYWFjA1tYWNjc3jUVul8tVtbH+LDLkrFbr0TesoHLnt+W2K6D6lVui8vHjx3j99dfP+pSKklJiamoKwWAQ9+7dO3D9e9LxsJJzPX1TeV9fn7GpPBAIYGJiAslkMq80b63f67XSDAG5QkKIvHlCsQCdxWIxsuwYoDu+snvInZEGOtX6oA8qhRMyfTIzPDx84kl4pSdm5bxZM5kMHj9+DCFEWc/hJCq5KJlKpbCysoKrV6/mLaIep/Y8ACMwMzg4mNdkdX5+HkIIo8azx+Op63JO9djXrVEeS1EUtLa2wuVyIRKJ4NatWwd68OhB2sN68JzU89JHoJyLQ2bI1Z9KlKgsVA+LklJKLC4uYnl5GS+99NKB110lN5BU8vnq41XhImqu5YzAL0VKv/+uWSW+nMr/f2wX+xlx6TSQs/6ICfW68ffDS1bmP8d1bb9I5eIhAbk0Dg/ISdggSgTktILmc3+UugXV1QYTtgGoUBDCX7Q8xafTN4rev1fRMFsQrPvXu1b8H640XGcw9Ndi7MvtwbO2toaXX34Z0Wg0rwePz+czNqeU6sFzUmcRdDqLrIRyH6+ed48/j0ptRNne3sbTp09x5coVo9TUcVWrh5y+kHNceq/Uixcvoru7+8DxjnuOicACHv/qP8J7/+GT2H6WMr4vlGwgLrQMLJRRQvIwigWwtDng9cVhdWWDYkIAmgqk49ksN4sT8PYB7g4gk8h+P7oJtF0A3F3Zf2cSgJbOltF0dwCQgJoB1CSQTgBWN2BzAeF1IBFQ0ToEeLqytwnMApt7mWvdL2SPtfWs9DkP3AUiK8DiCYOSyjFfKruTgKMbiGxLuM4D6VkguaLiwTf+NbzyyU/ANfQVJ3vgJma1WtHV1WWUCPZ4PAgEApibmzPmIHqArpJ9FJ+HzZjljvF69g81h8J5Y60e86SPlUgkMDo6itbWVty7d6/o/YutXZZaz6xmu5rcTeWDg4PQNA27u7tG9S9VVfM2lR+2KbqRglyNdK66k77uiwXoUqkUksmkMS/QA3Rms5lzhSbCgNwxSSmRTCYxPz+Pc+fOGRc3eqmoS5cuoaurq6xjVyNL4CT0EpWDg4Po7++v+uNVaqBaWVnBysoK+vr68oJxx1V4DsWarAYCAayurmJiYgJ2u93YOX7cGs61/KCs5cVOrdRyEU0f7I/qwWOz2YwAXW4PnpN6HvoIlBsEZECufui7G6empjAwMACTyVTR8spnmSGXyWQwNjYGs9lcciNKPZasDIfDePToEaxWK27cKB5gAoAf37UiIUv/X2lFTsUl4sbfVTWRFzx7kLxi/P3wDLn839dKTobcrFZ6rE7hqNdV6YytTJHTWcOr6MMfQJErAIBvsj0oGZAbTyuwQSKZcw6bmoJfiFjx/d7sAnOzbUYpfDxFUcrqwVPOY53FJLKWj1nu2McMufqiaRrW1tZgMpng8/mMDRpTU1MIhUJGZvJJnfXYV9grtViZzeOMV5sP/xve/8WPYOzjE0gXtDjreTFbCnLp3WM/hezjmrLZag5ftpeb2ZYN7GkZIJPMBtriASAeApJrcWyuHTyGzQu0nc8G1DYeZzPzBu5lA4OZFJCKADNPS50A0HkVcLQAsUBhgG0HvbfzS2G2ngM83dnz213NBiCjW/m98TqvZofS1fcOf+52H2D3Zkt7WuzZbDqLDfA4APlqL1zaCtR09jnE4m7sRi2wxgJIh/ePEV8D0hHA/aYAZrP/f4klFQ++6Zvxyic/CefAq4efxHNGnxs5HA44HA4jezwajSIQCGBychLJZBIej8cI0J0mC6XWAbKz2IxZrmg0Co/Hc9anQRVQqdYGJ1FOCyB9Y01hicpC1QyynYaiKGhpaUFLSwvOnz8PVVURDAaNzQVCCGPNyufz1XVywWEaMSB32s0Xxw3Q6SUuGaDLIVBy8289YkDuGDRNQzqdRiaTwdraGoaGhiClxPT0NHZ2dnDnzp1T7Z6qRpbAcS0vL2N+fh4vvPBCzS6CTlsCTNM0o8Tk0NBQWR92x/nAslgsRu8VvYbzzs6OUcPZ6/Ue6+K8Hgfw02rGRclSAavCHjx6LW+9B4++i7K1tRUOh+PY5/s89BE4TQ85TsrOXm5mwObmJvr7+yv6fjSZTCfe0X+U446ner/Xo3ql1lvJypWVFczNzeHGjRuYnZ0tebsnKYH/Ei2d0WSGxNN04XtTwob9gJzDlsqrBfknyf1gViqVROmEtvyF5iV1P0NuSi0dkDOJDCTMECjez0yi9DibLBLMe099HX2mP4AiF6GhFa+a3wHwXUXvH5QKhq0ZPEjlXxb/7K4Vf8uVgr/GF/ZnMfksfLxSPXi2trbyevCctIrAWWwOqbVyx75UKtW0JYcaSW6Zrd3dXVitVrS0tCAej2NkZATt7e0ld9Ifx1lmh+slKm0226FlNksdT02GMfk7/w/e/3e/icUH4QM/b7+cDaKtjhT8QAAOf7b8otWdDTQJJVtGMpPMBu/iwWywLbqR/SqH/0L2eCuPgLaLe9+UwOI72bKVvbeBRAiAAmPviMkGdF3LnvfWFLBRKlgHILmb/+/AfPZLZ3VmS2C2XwZ2l4CWHiC+lT320Cv7z1nLAGoCSEWzx0yEADUERENAdO9YAy8D0aeApVuBxZNGIC+4GYF3728OE2D2AmYPYHICJoeACAIv/n3AZQesVsBmyUB7+v8BBmpUM7RBFBtrhRBwu91wu90YGBiApmkIh8PY2dnB2NgYVFWFz+czysSdpDR/rcf2RhpvuRmz8VW6tcFJ6BtmjvOY+jpuIBAoWqKy2LGPO387y+CdyWTK21SuJxdsbGzg2bNnsFqtxnV7I61PPo8BuUK5ATr9/y6VSiGVym4aVRTlQA+655ZAQ0W5GuhUay93QgbslxhJJBIYGRkxUptP+4I/i4Ccqqp4/PgxpJQYHh4+1sVkpT4MT1MCLJFI4NGjR+jq6sL169exvLxc1i7Tkw6WuTWc+/v7D1yca5pWkZ3jjaBZswSO+1iFuyhjsRh2dnYwNTWFRCIBt9t9rB48z0OG3GkCcpyUnS19I4peckHP5K5U2TrgbLIEpJRYWlrC0tLSsXqlVrrnabkTIH0jSjKZxPDwMDRNK3pe+g65HwnZoB6ScXbVrGI8kz/un1PmYBb7/x9C7q+ISjjxLi4b/z6sZGVhQG0hp2TleKZ08LMFu1DRBjNKNfGxHmwWB0BCIFHk+59IfQX+6t5eKamcxyV5eHpCsWzCkBT46bANP9qSrMvxqJaK9eDZ2dnBysoKwuEwbDabMfYd1oOnkRYIy1Xu2Kdv8qGzo/fxUFXVqJqgqirW1tYwPT2NGzduGEHqclUrIHfU+KL3Sr1w4cKBEpVHHW93/m08+uV/goe/9jaim/nnLkyAfwjwnwMSYUAxA4OvAGoqG3CKB4HYDhDfzn5Vy8B9YHU0Wzqy7QKwPZ3/82Q4Wzqz9Rxw8UPZc9PUbABu5dHxHmN7Bui/CyyVGE6CC4BUgdY+QI0CGw+BZPBkz8NsA4ZuA+t7mXhqjwXR9zbR9SqwXqT0p1SBdCD7tfcdtN8GLrcKmB37/4eBaBBpaLAU6aX6vDrOeKQoCnw+H3w+n5GForc20LNQ9DUAr9d76Gd/I5VPLsdprl0ikQg3YzawarQ2OInjbqBMJpMYGRlBS0vLsTfWnDQgVy9ykwuA7DpqIBDA4uIigsEgFEUxgnTHrf51Fmpd6rfe6f9PDNCVwIBccyickOkv/HQ6jffeew/Xr183ShueVjV6CRwmEolgdHQUAwMD6OvrO9aHrz55rESgqdxFST2tPHcyfFa7UAovzgt3jpvNZiNzrpF2oBxHs/arK2eSlNuDR99FGYlEjtWDhwG50qLRKLxe79E3pIor3Iiiv2aq1fOmlsfMZDIYHx+HyWQ6dq/USmfIlaNwI4reu7aULyVN+GTi8MCpTxz8HQ2bHhh/l3BDwf7KaURcgcxZxLPbSh8/mYjAadWPo2BR8xk/m1Q7IGGBwMHMSK8SQlK0wyyLB+RkiUtWieLBtN9KDOPfO+wQSEDCAZ98HzakkSyR2jeSVtBv0rCk5n9O/nLEgr/nScHTpGNfuaxWK7q7u42Ffb2KQG4PHj1Al1tFggG50qLRKHvonKFSZbZWVlaMjLJKbEqp5LiSe8xSY99RvVKLEUJAVdOY+9S/xgf/7ucx+ak1SDWb/dV7G7A4sgG32E62FKTDB2zNZPurrY0fzCSrJmEGBu8B8znBKldnNnhWjKsjG6xLhLN947pvZfvPJYJAYBEHym8WCq9ng5CyYD9RywDg6wZW3geiy9nvdd/a+10c81LHfw5wKvvBOACQigWQSax/GSWDcoVungcQApBTwMceDOIzpk18tVpei41mVM5YW6zFRTAYxMbGBqampmA2m/Oyx3OPX+uF5VqXrDzN+J5KpY7MVKL6lMlkjHljqWCcvmZXrWvb42yg1NcSr169amwuO+6xTzJm1+van91uR09PD3p6erC5uYnt7ew8T6/+lVuat57ei40wJzpLxw3Q6T3onosAXQNFuRroVGun2IRM0zRMTEwgnU7jtddeq2hJmWpkCZSil7s6aYnKsyzbJaXEzMwMtre3D6SVlxuQq/SHeuHO8WQyiZ2dHayvr2N3dxeqqhZdmGpUzZglUInHKtaDJxQKGSUupZRGCbBMJlNW75FynUXJynInZtFo9NAyglQdpTaiANXLZqtVhpzeK/XcuXPo6+s79vEqmSFXDn3yWLgJ6LAx+YeCR0+iVtWD78sXTfs1xjTRA5Pcb56zJq8V3Lr0uGs27/8srbryAnkSCjLogAUrB+7nQRhxtKPUUrEQlpIPGysSkIvChgDuwo8vQCACgTj+qm0EH0/eLfUIGDKpBwJycSnwkyErfszanGNfpTgcDvT19aGvr8/owbOzs5PXg8fv98Nutzf9RJDZ4Y2lVJmtSCSC2dlZuN1u3L59u67fk6XGPr1XqsViOfZGlERgHhO//v2Y+8ynkQonINVsxlloGdhdyX4deJwUEJjLfpnt2Wy1ZPjw8o+VYO1woKUtnheMUyzA5sTB27b0A/aW/b52A/ezpSxzCQXw9QOezmwPt1QcCC0BsZzMvtBSNgNQ7yXnPw94/MDKB0BkMf94a2PAuVeBlWME0YaGgdAoEIrnfz+j2ABEAGSDcR13gfURE5R08esn72Xg3AYg7RLISYR0xKMYl7P4ajAgp6vEBhGLxYKOjg50dHQA2F8DWFpaQjgchsPhMNYAar1Q30jtEZgF03gKx87DxshKbu4v5rA1wdy1xHJ6vzZKycqTstls6O/vR39/P6SUCIfDCAQCePz4MdLptLGpvLW1taIVck5Kz7qk4ykWoJNSIplMIplMAmjyAB17yDWu3MyA3AlZNBrFyMgIenp64HA4Kt7foVolK3MXdFRVxZMnT6Cq6rFLVOaq5KLkSZ5vOp3G6OgoXC5X0fKg9Tro2Ww29PT0wO12Y3FxEYODg3kLU3rt+dbW1hP/XxTTrFlr9Z4hd5TCXZSZTAaBQABbW1vY2NiAxWJBIpFAa2vriXrwlKPRMuSYJVBbRzXg1ktWVlKtsu6WlpawuLh4rBKVxzleLUgpMTs7i62trZL9DYp97n8iquDt1OHvuQ4tiVkcPN4V0+T+sUVLXvBrSr2ed9vDPpVNyn72m2Y62CQ9nGmH33xwRdcldhGWHSi1Z7VUhhwAhIsE5ABgTL6OD4kvQNFmIQF8vfXBIQE5YCKtwAyJTMEz/PWoBd+tKLA24dhXDbk9eAYHB/PKfC8sLCAej+PZs2dG9nglroNKOYtrxNNsRmFArraKldnKLW08NDSEZDJZ9+/HYmPVcXulAkB48V3MffoXsfb+F7C7GMSzPw4eO6sLAFI5WWWZxH6gy38ecHcCa4+B1MGWc6fSeR3Y3hAHgn49t4DlD/b/bbIB/S8DS+8DwaX97yeLnI/UsgG30FL+951tAHp74XfvAqkI0jGg4wrgcGcDcbulW7pi/svAwF1grUSZS5sX6LsMbD4o/vO0KX+83nwPCF+/BM/iPJRI4sDtb9wSUDYk5AogXwZEzkdgPDQJeF4tfbLPmWqMtfoaQE9PT9Ee9OPj48YaQLU3ZjZKQK4e13LocIWtDY56H1U7IFdqvpZMJjE6Ogqv11t2q6F6XW+sJCGEsan83Llz0DTN2FS+uLgIKSVaWlqM6/ZabvKu5Od0JhTC+I/83wgn/hRS02DzeGDx+WDz+WH1dsDm74G9/RzsHRdg67gKq7c3m0JfxjnXi8L3Z7EAnclkMspbms3mur/mPRRLVjamUnWPl5eXMT8/j1u3bsHr9WJlpci2wFOqxqJkblq4HlDUd0CU8war5KLkcQc1fSJ58eJFdHUV383XCANksYUpvfb8/Pw8hBBGerjX6y37wrmhPzhLaLbgn9lsNnZRms1mI1NA78Fjt9uNnUiH9eApRyMF5GKxGANyNXLcBtyNWLIyk8ng8ePHAID79++Xteh/FmOMvhHF6XSWnDwWOy9VAj+0ffT7rVdNYFM5GJA7p8zn/Cv/5+8fCMgd1kMuafw9LQ72WgppnShW8NuJENblIM6X/Ngr/fmVgYATErGCQNqnUl+BD9n+NQR2oWII983vljwGAGxKBfesKt4tCGpmIPBvEh78wKH3rpxGD8gVyi3z3dbWhqWlJfj9fgQCAaMHjz72+Xy+io5Vte6hoz9mObuJuRmltvRNmLkbUdLpNMbHx2E2mzE8PIxgMIhY7IgahnUgd+w7Tq9ULZPEyhf+E2b+6GOY+cwjWJ0JbM0A7ReByKYZPTeB7bnjB9FS0eLf35nNflkcwMAwkAgVz147qcFXs5luWubg/03u0Nj9AhAP5Jez1G08zfaTC8wf/FkxQgCatMCkArF1oPsSkA4DF14BEpHs7ysZKX7ftcdAywUgWFBGs+sqIHazQbZSksKGwq3AvicTSJ/vgsOVQDKnyrOjB7i8lf0FiAygmgFTToVox+4cIh4V7kbaPl5F1Z4bFfagf/DgAQYHBxEIBPD06VOkUqmqZqHUujrKacbbs+g7RidXqrXBUapdcaTYvGhnZwdPnjzBlStXjAzWamuEtcnjUBTF+FwCYLTn0TcXmEymvNK81fwcrcScSI1GMfEP/gHm/vTTiHRrkKkQFDMgk9sITeXcUABWN2D1ABY3YHEJWH1W2LwO2FrcsLX6YGv1w+bvhL2tF7a2Adj952HvvAxb6/mygne1VixAp2kaVlZWEI1GMTAwYATo9Ay6hvpsZkCu8RTLDMhdyCvMKKv0Qkk1y3atr69jdnbWCCie5ni1LFmpZzQc1eugoT4c9hQOcOl0GoFAAGtra5icnITNZjOyquqxwWqzBcl0tQ5YSSlhs9nQ1taG7u5uYxelvkCpL8zpr5XTljpttJKVzBKovpM04K5leclKHDMSiWBkZASDg4Po7+8/1fFqVVIa2N+IcuHCBaM3VzHFxtFfDSt4mj76/ZYUxW/TLdZy/pX///K51M38xz80ILe/QJpAy4GfR6znit5PxtexrN3AnZJv/VI95LKvW7ciEdPyX8O/kXgT/8KmQECDVLoxJA8PyAHZwGYxn0g78G0mJ64X/3FFNVtALpeUEmazGW1tbWhry2ZQ6tdBuT149AyCwh48J1XrHjpA+eNtJBJhQK4GSm1ECQaDGB8fx8WLF43P32pkh1eDvth5WK/U2MYEZv/wZzH9R5/GzJ8tIRGU6L4JpBPZ0ooAEPECJksGq6NA62C2N1xhtlgxidDhP0/HgcW9DLC2C9k+bmvjQKpEAKsUsz3bl22hRAlIpx9YHc1mtPmHgKVDAl0A4O05GJBz+rP94GzObLbf7jIQ3QCwvYKNvdv4zwOZJLA5un8/kwL0nAccHdlxJLi6/7tLx4FkMpsNl9zNrtldeBXYegfQMoefY0LYDwTkAMAyuw7RBzjPA7G9DL2rrwiYNvcHMVnQrrU7uIpPDW3h/5Vm2Uqg9mOtEAIejwcej8fYpLu7u2uUuNQ0raJZKGfRr7ycc2ZJusZwWGuDo1S74kjhppSZmRlsbW2VVaKyULOWrDyJwvY8qVQKgUAAq6urmJiYgM1mM9as3G53Rd/Pp/mcVpNJPPvH/xjTH/sYwpqKeLtAYjS7cdR/FQjMAn2vA9uj2Q02kNmNSPubkSSA5N5XEEB2UBcmwN0L2NsBszO7EcjiBe59//eh/f6PN9TnWW6LLv2aWNM0JBL7GfgNF6BroD1Hz3VArtSELBQKYXx8vGiJj2o0JK3GACWEOFWJymLHq0WGnF5aU9O0Y2U0nHV/n0qwWCzo7OxEZ2cnABwobaH3XfH7/RUvl1rvmjX4BxycJOXuotR78EQiEQQCAaPUqdfrNS52TvpaOIsMOaC8oDkXJatPH/tKlags1EglK7e3t8vqlVrqeJnMEatlFbK8vIyFhYUjN6IAB8fRuAb82M7R47xDSMyYnEV/5hX7KQ4C+6ukElZ8Nn0577bKIQE5YL8BTlQezJDb0LqLJrv5HGlsx0sHIUsXysx+3ykOntOC1oqYuA6XHAcg4JKP0SpiCMjivwMAeJRW0KVoWNfyT1JC4BesA/irh5xhpTRzQE5fyMlVeB2U24MnEonA4XAYY99JNyo1UnY4N6NUX7EyW3qJ4M3NTbz88stwOvc/H6oxTlWDoihIJpN48OCBMX+Vmoq1B7+BmT/8dUx/6l2sPIxC7j0VX382YLXycP8YndeyWWNdN7L/DiwAdh/QdRNYHz/88TOJbM81NXX0uW7PZL8sTmBwGIgFgK1nR9/P1w+YLPs94IppvwJAAuuPSwfjzLbsY1vs2bKVvS8CNheg7gXfIhvAxs7h5+LpBDbHAMUGaHtJ4VIDgrPZL12rH/ANAoodiIUAUxcQWwTau4CNLx39nAEgpZTOmkosA5ZWwHMTSCwBN0IF42AMQM5w1xnYxGdMa3UbkKv1QvZZj7WKoqClpQUtLS0AstfmehWd2dnZvE285VTRqXWg6zSVUXI/d6n+HNXa4CjVDsjpY3kqlcLo6Cjcbjfu379fkeu/Zg2ynYbVakVXV5dRxUzfVL6wsIBIJAKXy5W3qfw0n0PlfE5rqorpH/xBTP7qr2ItGoXP5UBIZKAt778G7a2AVIGlLwLOjuy1z/rbOQcRgKsnu8nG4gKkANIxIL4FRFaBwCKARaDzNpCJAy99ywC677yAVINuMNA/v0tl0BUG6H73d38X3/md33kWp3o4Zsg1hlITsvn5eaytrZVcENMXJSs5ua/0ABWNRrG7u4u2tjZcuHChIh8IlcyQK/V8Y7EYRkZG0Nvbi4GBgWOdd71/2JUzgDscDvT19RlBGb3vytjYGFRVRUtLC/x+f83rN+uaNUhW60nLUYuEpXZRBgIBLC8vG6+F4/bg0TStqn16KikajZ46kELFHbdEZaFqBc8qGeRTVRWrq6uQUlZkIwpQm00fuT1ej1tas/Cz6udCJiyrR39+XTdreD9dfNxwiP3MNiE3jb/HxUUkkb8gWCpDTsIMgf0t+WEcDMgtlwjIWUUYm6bSfY5isTi8RTa56mfiKPH0n2lv4LYYh5CbEMjgw7b38R8Tb5Z8HA0Cl80q1lMHT/KLJh++mIzhdVt1M2ZqPc7WkpTyyM+dw3rwxOPxvOzxo3Y+n0XJynKzBFiysnoKy2zpc7/c/jLFFu+qlSVdyQ2eUkqsr69jd3cXd673Y/PzP4NP/tEfYOZPZhHZyB+/7F6g8waw+O7BzDfb3mWXkvPSTYSy/eEGXwEW3sah7F4gunX8807HgAU9a+4S4GoDVseAdJHyl723ge3pIn3fBGDt86GjMwSHLxtsi64D7UOAls4GCDPJbMAwncgumskkkE4CaQAyASAO2G9mbx/ZOPDQxWnZ8+x9Cdh4VPpmiZ3sF5DNuuvoAly3gfguEG0FEoGjHypdokeq8fNANuPu9tcB1sJsxm3kBeS6gxvYNh33STa/s9qsWEph9ngqlUIwGMyronPSLJRGCMjpC/hUf8qdNxaqRYZcKBTC6OgoLl++bGzwqgRmyB3N4XDA4XBkNwNJiWg0ikAggKmpKSQSCXg8HuOzq1hf9MOc5FpJSonZH/1RPPmlX8JaJAINgN/rwsbuwQuL9YeArQVIBoHYJqBpQN9fAiCA0BQQXgJCK9mvYtpvZsfejYfA4F924OW/nkFSXG7YjN9S42GxAJ2qqvjpn/5pBuQqoIFOtTJKTcj03RQulwvDw8OH9tEptzdEKSaTCanUMbYUHsPa2hpmZmbg9XrR09NTsQ+DamfIbW5uYnJyEjdv3jR2iR1XMw96uQ1Wh4aGoKpqXv1ms9ls9Fyp1e+hWQNyx1kkrKSTTgJzd1GeP3/eeC0ctwfPWZSsLBd7yFXHSRtw56r3kpWRSMQYwz0eT8WCz5XcjFJMORtRCu2owE8Fj/fethfJIgMAB6Kw7fV+k7BAyP2mNBvy2oHbly5Z6QSwa/xrt0iG3LzWU/SeZrmLRa30BNp6xATOVuJX99nMG7ht+WUochYSTvxl64NDA3IAMJNRoEBCK5KV98NBKz7dFS9yr8pp1nEWOPnYV9iDR88e39nZOVYPnrMqWVluueaenuLvDypf4YKi/nrf2trCxMQErl69apRhKlStkpX6mHrasSqTTuPRH/0iAl/+H1h96xF+5b1o0RKIihnov5vNgCtW7tHuBVZGsn8XBW8XLZ0Nxg2+uhdAKzFs2zwnC8jl2p7Kflld2eBfbBvYmgIggHOvZnvAOVuz5Sqt7uyu9ngQCC0DWrsPLl8I81/IBuAGXwMWjpl91joIbD4CVvey6fw9gHcI2JoBIuul7xdezv6pHFGswmQD+l8AEAOCk4DJDaTSwO4U4DIDPS8Amh1YfVq6X5/5kI8v/wtAn0+g/ZGEY00ABWOzsgJgYP/ffYEVSLGDLaTQXrQQ5tk6i/Gonjd+Wq3WvOzxRCKBnZ0dIwvF6XQa5Z2LZaHUelG43LGP8776dJLWBkepZkBO38AeDAZx586dU7f5KFRs7bLU76JRAnLV/KwVQsDtdsPtdmNgYACapiEcDiMQCODx48fIZDJ51+1HXQcd51yllJj/qZ/C+Ec/itVQCBKABYDT7SgajAOyWfHdd7N9Zs1uYO0hMPVpoGcYCAWBjntAYg3Ync6/X+vl7HXI+gfZf3e/KvD6P7wGs/kDxMXlmq8pVspxYxxCCCQSifrOam6MJU8Az1lArtSEbHt7G0+fPj1Ww89q9bw57WRP0zQ8ffoUyWQS9+/fx+PHjyt6ntXqISelxNTUFEKhEO7fv3/iMnyNMuhVislkyts5l0wmEQgEsLKyYixI6+UtK30xchaauYfcaR+v8LVQ2IPHYrEYFzoej6fudoEehlkClVVuA+5cJpPJuH+lVGqhc2VlBXNzc7h16xYikQiSyWQFzi6rmhlyp9mIkutfBkwIacf7nJzNFP+/v2t6D2IvWKehFybsN9WZ0Q52TSuZISccEHI/IBfQWg7cZkotngWnIIw5tfQ1mNlkLroQLKUEBKAlE4BycIf1f0l8CH/fAgioyIiLeNl0dB+5FU3BbYuKh0WyCb+cMuMP4yZ8vaN6WXIc+0rLzR4/d+4cNO3/z95/h0mWn+Xd+OecU7m6qro658k57qRd7a5ytIQFGAMi27KQsTEvFjiI8MoCmRfwD4GxZWGiEWBJCFlYAkmrBNKyWu3ObJrunpmemZ6ezrkr5zrh98fpU11VXVVducP2fV090111Up065zzf73M/z32rBINB/H4/MzMzaJqW0z2+myQr95OS9UchmS1VVbl//z7hcJgrV66UrNZulGRlLfPJdHSF6a9/nPtf/BwTf3ef0Gzp7fRd1AmuUh1uXac3iDqxyKU7/Rz0noe1h4XJI3Mdph2pqH6cJjscfROIZp0Yc3gh5tN/AAQTDDwC1hZYiqWYeCXrOL8Dg4/CzA2KkocGLHn5pPCC/iOI0H9OJ9zmR3KlOJ0dEF6vmF+9pxOYWl44aDsM3i4I3gb/esgZfAyi6+fYcwKCdyG47kHntoD7IqQlWLitd/JljlHI3bilx87awGWenLtF14gfg4STb2toJyC77kZYBtUK4vqwqCuyglsO8EXzCj+R7i99crYBzSbkmpk4rcdns9ls9PX1ZbpQYrEYPp8v04XS0tKSIegq7UKpB/b9U/cOjHljtRKV+WgUIWc0VaiqyokTJxqS/3q15RvrDVEU8Xg8eDyeTIOBMW6fnp4GyIzbPR7PpmfIVs/O2Y9/nJu/8RssBALYgTZ0IZZEawvKFQGX1kJyXsacSKEpKpoKqqIXKiXSere8JEH3Zb1bbvU2dF2AqW/r2+84Di2dkFrTC48WXyBT+9JxHhzdHQw+MoJKNwgeVDW5a3Ju2ajk+b3f1Vw/vGoIuUKdAaqq8uDBAwKBQNmGn42olKw1QBkV9r29vZw6dSrHjLFeaESHXCqVYnh4GI/Hw+XLl6sK9K/2AGm1Wunp6aGjo4NEIsHhw4fx+Xw5nmPGwLxeXZ17tXJ/p3cJbIV8D55EIoHf72d2dpZwOIyqqiiKgs1mq9iDpxrUUnWaTqdfdX6JjUItBtzZkCSprkQX1P78NqQeZVnOSFTGYrG6F6PUewJpFKIEAoGqClGyMZ2G/xkqb/B82KQyUYSQe8T08sYfYhuoG4TcK3IBQq5Ipx3kjqPWCnTI3ZELE3ICKZbVUlK1hb8H45o2S2J+cwAA1+WDpBnAzCwIbgbZmpADMBf9jPCRoJV32GI06jG6H/vKR7bHDugePNlKAoZccyAQqMqDpxrsy3ZtP7ILUbJltmKxGCMjI3R1dZU192iUZGWlRF9g/JtMfPF/8uCpf2DqO2vIia3XaT+se6Vl+8QVQ2hu43ehxC2yMAzeA3pHXfY6AKatp9El0XZY94kTNJDTsDAC0RWwe3V/u9UHuoRm/0XwT+kJtNVRIL64aVszz0PvRVgZo+S5ShfpStNUWF4nyxweaH8EVlc8RCaCeIdgab0TMBHUu/ZWR/Vz3X8W1IDeDbcysbG97kcg8tyGE6rVnbs/NQWBV/TfvXZwX4aEAgu3BSyCjMkB/WegNwbOW3HExWc2H/MKpJ4A64biNIIGChsq0SIaPcEVXvSu7hNyTd5fvWOfIAg4nU6cTmemC8XoHje6UBKJBCsrK7S2ttZV3akYapFr3tHdFq8i1EuiMh+NmE8FAgFu3brFsWPH8PvL0P+tEvuSlfWFJEmZBgLQ8z6BQIDV1VUePHiQUQAzisqLPafn//RPufNrv0Z0aQkB6EKPdwDpDjfyZQ0traKlweW1YbMnENC768NLYO/VPWwtTl2uUjSBvQtaBvUinPYTevFRIgL2DliehPZj0P04RCb1DnjflMQPfb4DgRUUQfdb301F8NmoZO6yoz2v9yUrdxaKTcji8TjDw8N0dHRw5cqVsgdjjSDkaqm+XFpaYnx8fFOFfb2DXj23ZxiP37hxo2aN590Q9Jp1fIUG5tlV40DGf66QpOFOxH5SsnrYbLYcD55bt24hiiITExPEYrEcLe9yihEqxXb49uwjF7UacGejEUnJWo4nGo0yPDxMf39/jtRjI2JfPZ/hqqry4osv4vF4Khp7FMOv+Ewkt/CXMdAnFSfkTkt3Mr9r5CZFvi2f2bR8cQ+5XHJxWd1MyN2We9AQCm4jgbnoe8Wgrac47WYzFFH/vht/hLP2WTQtgVUbZ1AIMKO1ltzuKymJdlFlTd18zkbTEn8VM/EDzgLacHXAvlxz9TCZTHR0dGQkCBcXF1lZWanJg6dSVEvI7XeH1wfFZLYWFhZ4+PAhp0+fLrsruVFV/VttV0mGmfnW7zPxpc8y/rVb+B6U36HuaIf2I+sdYmU8SrvPwNKtjb9LEXKgk2H2Vug+DUu3N16XKswq2DzQcVRPhhnbnfw2DF1b7+ZbP/a4X5em7DmtJ8+sThi8BCu3IF1CPXjhFb2yPbqibyMfggCBh1sfZyIIc88DBEleuExnz4u0PKpX2Ksq2NvB4wT/KPiub16/pR/UB+QIIAdvgtkD6eDm5ZU4+A0JTZcJz4CNk8Mg3dj6WOMmyO+L0pK5UpYef4hg29rWG9sG7LW5WDP3JYpijs2FLMvcuHGDUCjE9PQ0mqblWBs0Qsq5WluX/Q65nYFarA22Qj1jqaZpTE5Osry8nJGoDAQCDcu5VUrI7aMymM1mOjs7M0p12Qpg4bBeNWO32/F6vTidTsKvvMLL7/3nxB9MkGIjuinopZuJthYS3SmUuwpKXMU+ZEWSQiy8oHvX9l6DtqPw8Jt6t33nSV1gJbYKa/f1gpyei+Abh4HHYHkUZp6D1gN6974KmLsh6RN423+5hN2pB2dV3N2EXCUFFTu6gHCfkNs5KNYZsLi4yIMHDzh9+nSmorZc7BTJSlVVuXv3LvF4nGvXrm0a/DSiQ64eQU7TtIy84uOPP15zNdROJ+S2MyjnV40b1SfLy8vcv38/k5Rqa2vD6XRWZJa6F0my3SbbVQmMYoSenh5aWloyWut+v78sD55qUG2VZLMn43sRjahubJSPTjUwkqpnz57F7c4tM9/J3eHBYJBYLMbx48frYjY+YXLyqUj5362/xNd3RHxQ8HUNiW+kKvCQEyw5CeAltW3TIlGsqHiR8G16r02IodKKRKFK1y2+hxKPjReFN3KWv0FLTyCYNL5LeIbf076r5ObSCJwyKTyTKnyOfy1k5XsdMuYGPK6aHfuanQCtl8djORBFEZfLxcGDBwG9IM+QyTEmlEbsK+TBUw2qje/7kpW1o1AhiizLjI2NIcsyV69erWiM06h7o9DcLzzzAhNf+h88eOrvmHx6iVRh25OiMFmh/5LuBTdTgBgqBnM+g1PGR44HIBmFwWsb+8r3ntsEETqP6fKT6aS+35gfZtfJJ1c3dB6HqXX/N4tLJ+HiAQjM6NXrkgkWX9YTZv0XwSSArcfEyrKHxMRmkmn1nt51Z3Zs7ujzHoDw5Naf1eKEgdOQjHmJDb+EIIEUA/+Y/r7SDbEifnOSFdw2SOTtW01B2yVYKuDnl43Oq/2cc/pRj0BqdOtjTa1t9pEjBGQNlTz+EKIY5qEY55C6s+wNtsN7Z6/OMwVBwGw2c+TIEUDvHvf7/UW7UOpxbPtyzbsT+dYG9SbjoH7zs3Q6zcjICHa7natXr2au20Z6fhfLNxYbq+/k3ORugKEA1tPTkyFfY7EYE/fvs/LLv0TgO8/hlGU09GhnhLgUsATgi2BMMQUrSO0Clj6VwScACZIxfUxw5B2QjujdcHICTA7oOqtLULv69OKmdAxcPaAk9QIeo4jn0BtBS7g4+z13M8et7oEOuXKPe0c/s/cJuZ2BQhMyRVEyyedCJFY52AmSlYbcSnd3NydPniwYCHZih5yiKNy6dQtN03C73XWRJtjphNxOQn71iZGUmpyczFRlG+3jpXTn9yoht5erMvP3JwhCpoqyHA+eaiZX1U7KYJ+UqwX1NODORqN8dCpBdgwvllTdibFP0zRmZmaYm5vD6XRmfB9rxR+2HEEtJ3MKtAoad+Ti9+OAOJv5XWCj5SAlHCSobU7YFe9gy/1OFgp0yAEkhR4c2mZCrkcMkBY6kLTNhJxA6bGXWmIo8Hn1DfwEYDH5UenmLdYX+L14aUIOYEYpfn4fyiKfiJp5X0t9vRVhvxilnsiPRXa7HbvdnvHgiUaj+P3+jAdPdvd4LR481Xx/+x1y1aNYIUo4HGZkZIShoSH6+/t3zNhCFEXkVJzZb/1vJp76FA++epOlW2XoUBbBwBUIzmyQWeXC0QZzw7mvlXuG1LROxg09pne0FZqOObug7YDeTRac1aUuUzG9s07NajDufwTWJiA8pktAmm2wMLrhezdwWd+ff1xPkAE8fBYOvxZm/kFGTa/RPgDuQQiv6UScgeCs/jnbj+nV7wZauooTcqKky0/azXrnW+AGgB8BSK1JaGGFlm7d3y62BO6DECqwrf4LEClCjsZn9C69YtPYA4/DYwuTBHv7cJyG5XsU7QI3IN/S0E5Ctu2cuKzlEHLtAT8Oovypb5QfX2vLjPV3QgJxL4//tyPWZsc+k8lUsgvFZrNlYl8lhbrZqFYdZUfLn+1xaJqGz+fDbDZjsVgaWoRS63zKkKg8evQo3d3dOe810vN7L0pW7pZnrVFYIH7nO8x+5COYVBm7KBADkkAL4AECgLnbjaMtgaXLjGAWUGMqqQWFwN0o/vVu/v7HYepZ6L0EgUnoPA2rY5AMgWSDvkf0uJ4MwvS3Cx+Tqw8C95z86BdPIAobret7gZDbEx1yAPVvAG8Y9hwhZ0zIxsfHcTqdmYd1JBJhZGRkk7xVpdhuQs7obsqXqKxlm+Wg1qoTQ15scHCQnp4eXnrppboc124Jeo1GNecgPymVrzufTcg0s5o9G3s9KdnMgVCpILuVB48kSZn3y/XgqZaQk2V526633Q5FUfD5fMzMzHD69Om6S41sZ4dcLBbj5s2b9PX1MTQ0VPSz7bTYZxSiCILAtWvXeOGFF+oSs74VF3jeWj6xd8Ks8Hyq+H3lFQKZ3wVto8tgVTtRcHmxKCGXu48ZZXOHHECEHhzc3vR6pxgiTic27hdYq7Q8ZKmr8wvJ86iOVkQCqOIBLttuQgmpMwNTisRZs8JouvCz7L8ELfywI42jzqGjmV0Cr6ZilHwIgkBLSwstLS0ZqW+je9wYC2V3jzc6Nu3LdlUHoxDl+eef59q1a5m5gVEIcf78+R1zXmPLd3n45f/Gvb/5Il9/ZolEoLZ40Ln+iJ4tzxpz8/rHYWqLLq2tMP0c9F0AUQTRAl3HwdoCoUVdalLp0wmuZHhdRjMLkkXv6gvO6hKYvoewmNcJduA1oMmwfEcn5QyoaRj/Ozj4JEzftBOajRNary3x9oDnIMQCsDwGMR+kE9BzARZv6ssUeup1HYXWDgjfg+hNyG9S1ASB5KKClgTXYUjYQY6Do3czIdd7tTgZBxCfg7bzsDa8+b2u83AtpP9uVtKYE+B6G4T/tvj2ALRlSL4RbBs1NgizkD5hxqzoJ68rsIKbEIt9Eu60m9XVVcbHx7FYLBnf8UbJ+W6FZs+NmomdFPtgcxdKoULd7O7xcvdZrX/qTnlGv5pgNDBMT0/T3d1dt4LBQqhlfqZpGlNTUywuLvLII48ULOpvdoecoii7lnjZTZBDIR7+yI/gf/ll0oDL04KcSmNBLwENoLuXtwx6iRxIYkrqzx85qJCcSZNazJ07Lr+ie7gGJiHug+ln9K641oP67zPrRU2lPHG7z7bQe/4IbX25AxpVOK7/v0uvi0o95HbsM3u/Q277kN8ZoCgKmqYxOzvLzMwM586dw+Vy1bSPRkhWlkPyqarKvXv3iEajXL16FYvFUnL5nSTbtbS0xIMHDzLyYkYAq9dx7RNyOmqZwAiCgMvlwuVyceDAARRFIRAI4Pf7efjwYYaQaWtra+pkaS93yAE7amKWjXwPnlQqhd/vr8iDpxYPnR1dcbMDkd0ZIIpixjO1nthOycrFxUUmJiY4c+YMHo+n5LI7KfZlF6IMDAxkjq8eMeuX1+o7fHMKesuBhoCgLWRen9ROF1y+uIdc7nFNF5CsBAhoPRQS7ewQg0S0dgr31ZW+/tIlvPQUJJa4Ri9fBcz08mLJbWVDTMRAKjx2XFRFfj9i4QPuLdoWKsRejn3bkZQsl0gTRRGPx4PH4+HgwYMoipLpHp+engbIFCs1woPH8HfdR3nIl9kyLApSqRS3bt3CarVy7dq1hngllX2MqsLSi59m4kt/xoOvvMD8K1G0OoQoVy94+jbkHquCAL7pvJdM+o+7H0wWXXLRZNEJNcHsRBSiIGx0dmmq/p7Jrss+HX5C96BTFWg7CK0DkIrrZJirBxJh3ZNNTUPrILQf1avRg3M6KZeP3nN6bmXuBYr64U0+A5xrw+NbIDKnn9zIov4D4OkA7xFIRGDlDgxcg9nrEFtZP5fd0HsYkvMQHofV8eKnLNbRjXtF33BkAvouwfRLkMrzgnMfgvRIqZOvQyzw6HUfgickENfJR0nWf3GZIH4I5C187xKCnqDM7CME87YeBqK6n3iff4FWgjwUA3R2Xsp0TCUSCXw+X0bO11BOqdTeoxbslq6NarAd3eHl7k8QBBwOBw6Hg/7+/kyhrt/v5969eySTSdxud2buVywPVYtkZU9PT8Xr7aM6ZMdOQRCaooJS7fwsnU4zOjqKzWbj2rVrJQusmtUhFwgEGB0dRdM07HZ75jnpcDj2c5N1xtgbXo84/gCnzYzJZmYlEMGCXqJpSFYKg16W5vzYvDbCw7lKA/Z2vXPe4gQ5CZF5aDsFaw/07rjQDIhmuP8lvWtufr24yTeuj3+UZO7x9F4SCE27+cFPrOa8rmFFEw4Arw5CbkcXUewTctsDIxlpDOQkSSKVSnHz5k1MJhPXrl2rS2XrdnTIxeNxhoeH6erq4sSJE2UNVHeCbJeqqty/f59IJJIjL1bPQLUbgt5OP75CkCSJ9vb2TKVUKpXC5/MxPz/PysoKiUSCrq6uunquFMJe7pBrNqqVEQGwWCx0d3dnOo7L8eCpdlK241vgdxjyDbhNJlNDiLNGTtaK3eeqqjI2NkYymSzb92endMgZhSj5JGI9YtbnIiI3kuXfyyIad9OlltewYxByPYhsEHLD8mb/OCglWbmxH00TmFULE6irWi/HCzza24UgQToZLHiYpUmvrSixl5Un6JW+ikAACzOckha5o2ydALorOWnRZCJC4THk74Qt/POWFK11DB97OfY1O+GqKErV0pOSJGWkvKHxHjzxeLzsToRXO/IlKo1ryufzcefOnYKSVrXur9zrNuGfZuqrH+PBU19k4hsPiSzXLyZZnDpJNfsyhBe2Xj4f9lbdU83SostHxtbA6tT92RztEPfrCShPH0SWYWVMf89kBdEc18k5k76dlm6dhPNNQnRF/93A0KMbcpP58B4Adx+Y7Rvyk4Kkd8Flw90Pdndx2agcjMyRHnLQfirG2p3ct2Kr+g+As033nTv6RjBFod0B/tuwWsQDLh+x9i5YJ+QA/C/pHXzTN8DshnQITE5wypAsQ4E0MKJ318XWv0tbJ7yuCyyhjWUkw9dJBc9VkZVJDbHEOCK1stlHblHtZACdkOsNLSIoKiYpzk0xzAVVLwKw2Wz09fVtUk65c+cO0WiUe/fu0dbW1lDllH1Crr77q7YYIbtQd2hoKNM97vP5mJubQ1GUgko6tRRj7tjk7h5DIWuDnUrIBYNBbt26xeHDh7ckbBuZEzS2rWka09PTLCwscOHCBUwmE8lkMqMoFIvFcLvdpNNpUqnUlg0U+yiN+X/ybgLjDxBFAYeWxh9VsQERIIwe5bwHvKxM6TYHhb7++Jr+A2DvgI6zwPp4Z/oZaOnVfeE0FVbvgmcIgtP6eKbrDCzf2tiWZAVr63He+BsdmKTcgYkqHNarkdi9nd6VxKgd7yG3L1nZPBTzDEgmk8zOznLy5El6e3vrtj9JkjKVmPVCqQBlSFSePn26ogq1eleJVJqUTCaTDA8P09bWxqVLl3IeSq8mQm43PowLwWKx5MhadHR0kEwmM54rbrc7Ux1UjTdjMezlLoFmo54SaOV48FQ7Wd+flJWHYgbcjepka5RkpRH/8ifwsViM4eFhenp6OHXqVNn35nZ3yGUXoly5cmXTZKzW2Cxr8J98lY0yT5pVbheRXAQ4JE5gEvRMqCZ2grqR5X1WPlNwnXIIubTqRCkyIp5XewoOlr1iCJ/WUcTEqJhkpb5wvESHHMDfpl/LOyUQ1Qk0TPxT63U+Ent3yXUAkohctqo8W4TxC6gCv+UT+Ui7UrcY0szE3auhQ65e+yvHg6e1tTWj0FHpea0lgfpqQn4hijEXSKVS3L9/n0uXLtWV2CwWpzLQNFZH/oaJL/0xD776HDPXgzn+aPWAIMLgVb17qxyJSdGsd6A523UCLRWB0AJEVyEegKFrsHIP2o+AzQPraobYvbqMZDKwsc+4X9+v1a3SerAFJRlh6bbuAwcweA1Ccxv79gzA/M38D6D7qSkKLI6Af0qXhHJ26J1xFid0ntUTXv4piAehfaBMMm4dkekYabcuFblwo/AycR9oUWARXLZ15eIKppFJ5+YOVt9zemV9WoOVl6DvJETK7VxUwX1AJ+RMDnjtKXCu5C4ipOVMxsaWUHnp9a/lyjf/oegm5Vsa2hkQsgjBaMyWiasmTcEaTGFtS/FVyzIXEps/Uz4hc+PGDTo6OvD5fExOTmak7tva2upSjGCg2fGomTmE3Rz7srvHDx06lKOkMzk5iSAIeL1eEolE1f6p+8WYjYchUWncZ8Z31QgFsHyIoogslxcYs4mvixcvFpSoLLT9RnbIKYrC8PAwkiRx9erVTA7a6CwdGBjIENdra2uMjo6iqmoOcb2Txnc7Pe8V+b3/ztQ3vokoCtgFjTVbC6lgBAlIo882nYMeVqc2e45nQ7LpEtCqpo8v1sb1cZCSgAOvg4Qflta72VNhcHbqHf9yHGytudvqf7QNV5eTwYubq40MuUporu1AvVHuNRGNRjNzoR2HBnbICYLwDuB30bMYf6Rp2m/kvT8EfAJoXV/mg5qmfanUNnc1IVdsQvbw4UMWFxfp7e2tKxkHjZOszN9mfndZpRUW9dZRriSJaHhvnDhxIiN5l7+teh5Xsc+5k4PMbofD4aCrqyvjuRIKhTLeVZqmZSrGazUJ38tdAtuBRpzLYh48RvdcIBCoyINnn5DbGpqmkU6nM/Jc2d9rowi5RhJ9+YnOpaUlxsfHt/RKLbW9eh5fubG0VCGKgVqLSP5XSOR+yW63zWgTSu/vqrRhPqSRmxD5WrJSQm4DScVd9L0ppbcgIddKkGW1s+B7QpEeOONIYlsc0icTj/E/bBYE4ijCCV5vvs5H2JqQA1hWSz87/yBm48nJZzngtGaKU2qpjN3LsW8v7a+QB8/a2hrpdJrr169X5MGzk4vLdgryC1GM7zWRSDAyMoIgCFy4cAGbrYT5RxUw5mnZcSodXWH66x/nwZf/Lw++fo/gbOMknXvOQSpavOOspQvcvXrHmSLryabgrO7HlgyDw6t3xLUfhZ6zgKDLRKoyzDwPyUju9gYuw+y61bd/SpeaPPYWndRbvhslnpf/8k/q5Jqc0Ek8i3NDftLqhp7T4J+GuVdy15MTYPfoy5qs+rGb7NB2CERNT5gNPgaCBqmEXuUeXsr1kctHMqR3Dx54EmafyX3P0gIHT8PqDUho0DIIygwcvgJL0xBdLvElrEMRC4xhNYjdBvdj0P8oRIp8T8UQvqcnDV/zGmib3/y+mJRzMjavb32Fma4e2pYXNy8MaIuQfAvYsqQtLf40ZClIO/0xnG1RxiQfcKTk8RnJxexuYUPKPrsYwXi/FuWUnZ4krgU7yTu8VuQr6aTT6cz1MDw8jNlszoyFXC7Xlp97R8uf7QEUa2Aw0AxbgnLnZ4ZEpSE5XYnsaqMIuXQ6zf379zl8+HDGgqAQuWgQ11arlUuXLiHLMoFAINNBZzKZMs/J7fLp3A1Q7t1l4hf/XzRBoEXUiDjtxIIRIui+cV4gebqDsBrOXVHb+K/jnAOLM8bSKKTTEFvWC4cGHl3//zFdwloQYPA1MHtD79L3T+jLzD4P6SyvcfeAiMYJ/tGvBxAKFIiqwrGN469BlWq3YMcXUTSA5RIEQQL+B/BWYBa4IQjCFzRNu5212C8Dn9E07fcEQTgNfAk42ORDbTyKTciSySQjIyO4XC5OnDiB31+aMa8GjZKszN5mIpFgeHiYjo6Ookm9SrdZj2PcqjPQMFxdWlqqe3VqMez0DrlmYTvPgSiKtLa2ZhLn+ZJO2YPySgcf+x1yuw/GYNQYcPb09FTkwbMvWVkaxaobDTTK1LpRlYfZBSmqqnL37l3i8XhVhSiwfR1yWxWiZB9ftd9PVIVf81c+bFvcgkw6Lw1n/ZWVcGaAJa2wn1VxQm7j9YRa3AtrQu0r+LpbDDMuHywiNZEs9GIG0S0+Z1CzExQeoVV7Hk1o57T4QsnlszEuSxwVUoxrha/JhCDxtcPX+JC0kpF0Mipj29raKvYb28uxbzt8dJpRlWx48EiShM/n4/z58xV78BR6pu9DR7FCFENJ5OTJk0xPTzckThlzqujUt5n44v/kwVP/wNR31pDLkCSsBd4hsLfB/Cv63yb7+mseQNB92uQkSCa9q83ogLLY9Srv6KouJRkPwsBF/b2H39YJrZ6zhT3bQO+uM6CpOtk2/nf674Kk0X3GjrUlju+hLmsZWdZlG6e+o3feTT0H3oO6N9vCyEZHn2TVpTDtrfrvqDoZePytMPMCLI7qZF77AVi5XeDA0Ak/V48uN2Vx6lKXSlL3plteakEKRVBlePiMfkwL60m2wYt68/fq9Y1tmTogOQOBF8Bhh67HYPrlzZ4x2ZDShQtDlDi0KGABeNQ42KzzaKhIZt/emv661QKd7dCXJ7WZQVIlu1amVQ1z97Unafs/hQk5gKQmYMuKx+2LvhxCzh2I0EqAZSGIgopE8WdyoRiRLWVvFCP4fL4cpYxqilOaHY+a3Y23V4pR8mE2m+nq6mJqaoorV65kusdnZ2cJh8M4HI5M7DN8trKxo+XPdjkKNTDko1kdclvtw5CoPHToUMVNFeXkKqvB4uIii4uLHDhwIEPGQXnPDpPJREdHR2ZeaMhbzszMEA6HcTqdmefkvly5Di2ZZOr1TxJWVDwWiALhuIwJPYQpgHKxi4QzgpQScD3hQGoRkVdlZKeA+/VO4vdllkZiOLuh4+SGL1zHKb0QqO0IzGYpDUSXdZ85d5/uLzv7vE7SLWeNQ5y9x7j0w1bszsKBWhU3CLnd3CFXLqLR6M71vG6cZOU1YFzTtAkAQRA+DXw3kD1i1QCjItkDFCizysWuI+SKTchWV1e5e/duJhnm9/t3TZdA9gN9ZWWFe/fucerUqUwVWjWod1DaiviSZZnR0VEsFgtXr15t2kNoNyQumkWW7ZTkXb6kUzGT8La2trJ8XfZql8Beh6IoWCyWTR486XSaQCCwyYPHMEWutuLmqaee4md/9mdRFIX3ve99fPCDH8x5f3p6mgMHDvw9FbSQ7yTkG3A3+1pt1H1oJDqzvVJPnjxZ9f6a7Z9aaSFKLRWcvxuQWFQqOy89osq4XHpUely6u3F8WaSXjxOVHSCQTcjFivjHAdyVC0+0XUKIGbWr4HuCVpqQC2vG/oufo9vqEzwuPA8odFGuppgOD6XHfn8atfAzva0cWpd0Mipjs5915VbG7nfI7d79GQRgIQ+eUCiE3+/f5MFjNptxuVxVjRf3euyDwoUoRgFHLBbLFHAY57VeUJJhZr71+yz+nz/nxWcm8D2of7KvEGwe6L8IqRhYHHD0zTqJlo7rnmvBOYjkebYVgmcQOo9CIqR7nGXXUZhLNBEmQ7l/W5w6GQegKbB0a71sXIDO4zppGFmGnvO69OXBJ/SOPkHQ/e5SUZ0YDC/rXXv5sLr07R94DYiCXsnefkxf33icC6zbs2Q9FlOx9T8F/fOoQx0M2tPYnElECVQVLr1D98lb+k6BD5p1DpQ4BJ+D7h4Q+mDupcLnxhEKbHrNewxaRIg9DXILqJHN623azkFo6wPPMlgXoeUngCKEnJDY/Fx4NH2DO48P4X52uuA6ybxuv6HpWZYvt9O1bqbTFvDjIoIopPm2FOR1Svm2GJuOb70YIV+2rZrilGYXo+xLVtYXxvdns9kySlWaphGLxfD7/RmfLZfLlSFr29vbq1JHeTXEvlpQzNqgECRJIpksPcauFaXmP5qmMTMzw9zcHBcuXKgqD1DvIn1VVbl37x6xWIzBwcG6EGZWqzXnvohGo/h8vkzRllHQ3NraWlcLmN2E1be8juVoklYrRBUI2BykIjGsrMf7M+0sDi9D9qUkgfNJJ+mZNOaTJrxDZrqPJ5Hj+koHXw+CSS82kqO6fKWrb92Hd/2SCc3oP97DunT3/Iv67442MLnbUWxOzry7iBY2uR1yr4ac4o7ukKtesrJDEITsat0/0DTtD7L+7od1M14ds2yUYBn4MPBVQRB+Br2U6i1b7XRXEXLFJmT3798nHA5z5cqVTIK/0X439Yamady7d49QKJTzOapFM5OSkUiE4eFhDh48SF9f4ar3RqGR7en1wG4gDCtFpYOdYibht2/fRpblnMFHo0zCy0GzJ4F7HcW6Esxmc0EPnq985Sv89m//Nm1tbXR3d3P79u2yvcMUReGnf/qn+drXvsbAwABXr17l3e9+N6dPn84s85//83+GClvIdwoKGXDvFYiiyMrKCrOzsxV7pRbbXrMkK41CFLPZXHYhSrUTxlUFfidQebnXYZPKYqr0cR0Qpzb+0AKZX6e1U0XXKd4ht3HuIyUIudty4bGCkyDTSrEOw9LJAg0BNxqhEst8LfUkj1t/G1FbQGSV15ge8h35UMntGrijWbBrKnGh8PlMI/BrQSt/2K63zeRXxiYSiUynsNEJbBB0+RJ7+x1yu3d/xWJftppAtgfP3Nwc73//+zP+Kt/61rd47LHHypoHvBpiXyGZrWg0ysjICD09PTkFHPUomgzPvMDElz7OxFf+joffWiQV3byMaNEJIJNV/5EsIJn1H0HSPdtEUSeQskklTdOJJ03ViS1V0WUjRbPe9SaIgAiBaZ3EmnmRivzNQE869Z8Hq0cnycb/vvByi7d0CcdUHnkkiOCb3Pi770IBPzgDmu5DB3rHnasL5JS+zdUHuh9LOfA9hERQ92xZeqW8dfIhSGA9EET0uOi1J+lVYXAFHIswdQa+Lm6QigYKNbslFoFFXdoylATfg9z321Y2ip2trdB7AsI3ILa+bWsfxO8VPkbHQWjrXyfhZvT9AEgXQSw1bCnSiTnYu0qwFQhsfk8e1dAugLD+HdhSScYsxzKEXJdfN6ozofBN80pJQq7SGJHvN1ZJccp+7KsfmtUdno1iUu1OpxOn08nAwACaphEOh/H7/Xzwgx9kdHQUu93ON7/5zUxOYCvs9dhXK/Jj51bX+XZ2yGXPpa5du1b1NVtPhZhstbITJ04wOTlZ99xNtuWHUbQVDAYzRexApqvU4/HseYIHIPHhD7I4fAeXSR8vrYgmzJEYGqAIENRAFaM5ZJx50IzgFgl+Sx+sJSdS9D4OsqyPxULzEJzRpb8XXtbXsbVC+3FoPagXIElWfUynaZCO6ERd21F9OcHsIDTr4Qd/z4TZVGBAuA5ZO5LpM1dVdVtzmtWgUknlPWoxs6pp2pUat/FDwJ9qmvZRQRBeA/y5IAhnNS1/BLqBXXGlFJuQxWIxRkZG6Ozs5PLly7vWRyeRSBCLxZAkadPnqBbNSkouLCzw8OFDzp07ty1tq7VWmO/LFFaHas9ZdsX4gQMHUBQlM/goZBLeTDRT2//VcN2VO/E0PHh+/Md/nB/90R/ld3/3dxkZGeHDH/4wY2NjnD9/np/6qZ/iySefLLqN69evc/ToUQ4fPgzAe97zHj7/+c/nTMzWz3dFLeQ7AVtJVO5mGFXUiUSiaonKfNS7QrJY0YdRiHLgwAH6+/sbfny/7pcIa5V/98kydtUprGV+F7UNCaxbSjWE3Mb4KKS1Fl1/QXOj4kQkd3JjJ8SEUrhDDhIF+9+0rFecokaohHTlnyef5ENWAVGbRsPD91ifL5uQiyFxiSgvUbwi8K9iJj7gEjlt2XzN5FeMG5WxY2NjpFKpTLeU1+vd75CrI5qdlMz3GiuGbA+e5557jjt37vBTP/VT/OVf/iUf+MAH6Ozs5Pu+7/t4//vfX3Qbezn2FStEmZ+fZ3JykjNnzuDx5JL+tczR5GSUL7/3PIGJOVRZ9zNz9+ldaHJKlzmSk/r/agqSqa1KBIpAhLaD0NKpkzAhn9491vcIrN6DmE9fbA3dS83WCvMvb71ZV++695qoJ6Bmi3R4GUjHYfAazFzPfb11SPeEA53kigdKb8fqhq6T+naC87pnnZqGtsPgvawnuOI+WLlPUYnPyDJ0HNM98MqCoB9nSxc4nNBmg24Nuv1ROn0p8OUufsAKV94ON76c+3rcX1zVKHQbEOHwNZgfh4QPzB4JWzCIKooMXVVJ34Fwnl+clGed6jgI3j5oXckl4bJhPoD+hZuggDWNHlZFcjsCgJZ0DOUdApFPb47H2gIk3gn2sazPlNo4uD7/AgBWEjyQfPmr1xXFZNsKFac0m5Dby7Fvp3ZpCIKA2+3G7XbziU98gng8zjve8Q7u37/P93zP95BKpXjd617Hhz70oaIJ370c+2pFORKV+dguD7lQKMTo6GhdivrrVaTv8/m4c+cOJ0+ezHgkNsMix8iBGYWphi+jIctttW54VDudzj2VDwDga3/L2sc+jiCASQS/JGJVdLe2BBDXwPyEA9+3Y5lVnI87iYzGUWb0LlBzu0TfGTupRIRECJbHAAEGrukylAYSAZgzxj4CdBzXCbm4D1bvovvCroKrT6D1+CMceoOVnqN/V/TQU3I7Lwzr35HX6yUej9fcXNNsVBovdrxkZWNYrjlgMOvvgfXXsvEvgHcAaJr2HUEQbEAHUNSleMcTcsUmZAsLC0xMTHDmzJmMd1U2TCbTriDkDKlNq9XKkSOlTZUrQaN9dAypmEQiwbVr17atCmDfQ675qOdkKV/OMN8kPJFIMDs7W7NJeDlo5sRsOyZlzR64VZMEFUURq9XK2972Nn7yJ38SVVUZHh7e1D2Sj7m5OQYHN+LjwMAAzz+fmyX58Ic/zB/8wR/8aCUt5NuJrQy4y1l/Jw/WDYlKk8nEsWPH6kLGQf27kgttb3FxkYmJiaoKUaqJWQ/T8IfBygkFKxp30luv5xZ0UkylDTErk/lc+nSxVRCLEHICG5JuwRKEHEBa6MGq5bYf2IQw94oQcgIaGjby2wWyj8QhapuSltl4oHSSEI5j1+6iiod50vwC8J6Sx5mNkFD6fKoI/ErQyl92xksul18ZaxSn+P1+pqamSCQSGXlat9vd0Hix17sEtoMArGZ/NpuNwcFBPv7xjwMwOzvLxMREyXX2YuwDMrEvuxBFlmVu39ZtGorNO2qZo5msTtpO/yBzL3yMwNQWWpAVwObRiTKzXSerfA/BN6H/iCbov6TLPE4/t3ldQ96x84S+7NKtvAVE6Dund8WZzDqRFqog5ZwvTQk6UWgQcoNXYPr5zcsY6L/kJDAdzZB6cR8MXNLJQOMzArQf1l/XNEDTJTRX7uvEnQFnh050FoKrD9w9675zMnhsMGCDgxFoW8pesvj3diEE/tfC+D9svBaZA08BoisDFQLXwd0CPY9BIGhiuvsM3ak48efvF1xFMIP9ALQPgGcFrNMUJOEyENeTMTJwCCi8WTBTkAH2xDQSVwXkG5tjciotYM+KkFpEyDCQfaEFNA1ahCgLQogECrYi9GS9Y0Qx2baxsTHi8TiSJLGysoLX621ofmE7Yl8z8yU7lZDLh91uR1VVfu3Xfg1BEAiHwzz99NMlJQL3auyrBbVYGzS7Qy5bovL8+fN16bSpNSeoaRqTk5MsLy9z+fLlnNzDduQbDV/Gri59TmT4dE5OTmbIEIOgq4b82Wl5guTP/2uCKX2ss5ICubUFfyCUCc+CSyB8X4/xglPAftFB8Nv6/NVx3Iq9S0JbgsB0hOAktF3S1xt8Dcw8W2LH2joJt+7eYG+DtmPG6zZccXjzf7hbYgMgmk9x7do14vE4fr+fQCDA2tpaJo4Z1iw76Xzno9K83Y73/WxMqL0BHBME4RA6Efce4IfzlpkG3gz8qSAIp9DF0VdKbXRHE3JGUMmekCmKwp07d5BlmWvXrhXV121UpUe9ApamaYyPjxMIBLhy5QovvliZl8lWaGSHXCKR4ObNmzV7/dQL1QZII7hu9/HXC3vhc+SbhF+/rs/yx8fHicfjuN3uqkzCy0GzOxL2cgIUqu9KiEajDA0NAfpz5+LFi3U5nk996lNQYQv5dqFWiUrj+d+IrpB63CeGV+rp06dZWlraNUUV2YUoV69erUrfv5rY/GGfiVQJX7RiOGVWeaUMQs4p6JplmtAN2gYh99X0uaLrFOuQ07SN8n6/Wlp+NEY3VnIJOStBgpodlRZEChnxWCmq3wXYytB3m9Ae5wx30XBwXCzuB1AI49g4bFKZkIs/T7+cMPF8UuRRa/nfc35xyu3bt3E4HCwuLnLv3j1sNlume9zhcNQ1fuwTZPXfX7WxL9uPYWBggIGBgZqPZ7fFvkKFKEYV/VYdybXO/a78zAe59ZdfoOP4Iqv3yjACy4ew3v3WpZNP4QUIzMD8K5uXG7gE4aXNHWqFsLKeC+o5p3fpxf3QcURf3+zQ349V0eS0PAaeAQjOZh3a+q1idW/IUebD0Q7eAzD30mb5JqWAzd7ahP4DOjnX0q13uFkduj9ddA1CizpX5OwCTz+YbLr0ZXwNuvrgoBcOxqEzAEKlX816Qf1rBQidgeV1YlNJgmUAUrPFVwWQI5B+CJffacZ6Q8IjmDlyQkLQFAQVBFX/vgUVzCKYl4Cl0ts0IJ0G0ThnPRQn5EwUbclsPaKxOsKm0JjKIwKdKzF9H4BVSWMOpWn1+FkWuvmGyce75M6C22/k/Ci/OGVlZYXl5WVCoRBTU1MIgpCJffUuTnk1xL5mE4DVInse4HK5eNe73lXz8eym2Fcrap03NrNDTpZlbt26hSRJNUlUFtt+NZBlmZGREWw2W0ELgp3QAGC32+nv76e/vz8j+5ptAWP4dLa2tjZdqrZWKM9+g5npACn0Lv+WNhcLvlBOrYx4yUH6W1FsJ62kExqh70RpfcyBGFOJDydQvQ4iCwnS6+MDswWGnoTpZwrvUxD0cY7Vrct3m+3r0uMmECVwDXRy/J0X6H3SjtP77ZLHr4rHAf07stvtxGIxvF4vNpsNn8/H+Pg4iUQi451ZLYnaSFQ6d4lEIjuXkBMoLn9QAzRNkwVB+DfAV9b38Ceapt0SBOFXgRc0TfsC8PPAHwqC8AH0muF/pm3x8NiRhFyxCVk4HGZkZIShoSH6+/tLBpudLFmZTCYZHh7G6/Vy5cqVhgxyG9Uht7a2xtjYGKdOnSpL47vR2EoveicQbs0I4M0cJDTrnBr3vpGUqsUkvBw0c6LUbJmU7fARqCUpWWmA7+/vZ2Zmw2N1dnZ2U9Luj//4jwE+A+W3kDcblRhwl4IRp+r9nRvP22rv/2zPV0OicmVlZUf7gBqoVyFKpZO6m0mBz0Sqe1Y4ha33YyeKFb2bSxPcmXYzmU4eKu1F1ytGyAlZGUOfVnqMENR6yKfszOiGN7LQgUXbnHXVsCEQLLpNaxnfy9PpJzhj/l8IRGnTJhBQ0Sj/HPeIKhNbLP8rQStf6irdJVcKoihmEpCapmWqLicmJojH45lJXVtbW83FKc0eJ21HV0Iz41+9CLlysFdiHxSW2dI0jampKRYWFrhw4cKW56fWOZrV7ebqz/wsf/fBD9JzvovF4dKnyOrWCTiLE5IR8D9c74B7WHydvot6h9hshXWY3gP6flCh6zSoSV3qsdS+ykHrYC4hF/Pr//echqkCXXuDV3UCcK6IJObCqC6fGV4o/H4OOXdE/0zpuO4h53DrXXvWXjjghIMW6FVAjALFrVu2xnptsqTAW3rgCz6IrB+fuaM0ISda4dib4IQAgldh7LSbs5/7VtHlhRBook7OlQPTYTZkKkuJQZR4pFhj4Pgugdhnc+NyelRDvQriqv539/wyyX4z1nXW1OmPIXvMgMoz5pWihFwzIQgCdrs9I0VoyLY1ojjl1dAdvhPlmvNRTQ5jL8W+WlEPa4Nmdcglk0muX79eF4nKfFRLmhn55UOHDtHb21vXbTcK2bKvBw8ezHgS+3w+JiYmcor8XC7XtudCt0Lkx3+MsAoOC0QUAb8vjF0QiDpFlIiCdMSC/9koLa9zEr2TwH3ahjWtkXwuhiaA/fVO/N/aGCSYXWBvh3gQDj6he/YqKd2nNhXV/W2TQZDXf5J26LsMg4/D0GMwcBks9hXg69xT37vl8avC0dy/15+Fhnfm4OAgqqoSiURySFSPx4PX66W1tbWqIt96otK5SyqVqntzRN3QOMlKNE37ErofafZrH8r6/TbwRCXb3HGEXLEJWaVtzY16cNY62TMIrWxdYtggvOo1UGsEIRcMBgmHw5vauLcbhb7nZDLJ3bt3cTgctLe3F9RabkZw3ekBsBIExsaY/PznWfz2twmKIsgyaiKBkkjQ+33v5NQHfrGh+6/FJLwcNLNrba9XZRr7rGZiVk0L/NWrV7l//z4PHz6kv7+fT3/603zyk5/MWWZoaIjbt29X1ELeTFRqwF0KkiQhy3LdB0qiKFbdbWIYZLe3t+d4pUqStOMJOVmWefHFFzfF7WpQadz5pTVTjkdaJXiY2no/V6UbCBnibmNIGORkyfWKEnLaBiG3qnk3G75lYVXr4WDe+5Kma6glaMfCZIG1Sl/T5jJIyE8nXse/MoOoPgRCvN1yh6dSZ7Zcz8DttIgVjWSJD/dM0sTX4xJvsVc3XsxOFAqCgMPhwOFwZCpjQ6EQPp+P0dFRFEXJVFxWUxm7HebjzR4bNXN/zSxG2SuxL7sQxYgvqVSK0dFR7HY7jz76aFlxpx5Fkxfe+15e+v3fZ2XsHn1XDzJ/YzLznveg3v0moHen+adhYbi87fac1bvHNnXLFYFkhe6TeqdYdA1sLkDTE0ySRSfiuk7qHW1rExBb23KTBeGbQP9A2sZ23X2bPehcfeBsh5mtmoo1aDtQnJDLxtoD/Qfg+OvhcRcMTIKUYrMrRy1YA/qBODgS8NaL8DdBkGNACd+63kfhfA841zvPFJPGW7ueZvjMWQ7eGi24jhYG4QTkNX8XhTn7si7e/L1ltbcnrZE4BeqdrGOZh1QP2NYJub75BR66hzi6rknq9kcIHvRgQmZG9BfddrN93bL3lS/bFovFMsUpsVgsI9tWTXHKXp+L7ZbucKi8AHEvxL5aUau1QTYa3SGnaRpLS0sEg0Eee+yxhnTWbFWkXwiGJ+1W+eV6+dM1CtmexKCPn3w+H7Ozs4TDYRwOR+Y5WUoKdjugPLiPshyhzQaLCZBcDrRwlLSm0XbGysrzMZReE66DFsSUhiWqElsn3ySvCIesGTKu/RRYPZCOwsRXC3fsg94Rd/CNOvk29Jju4WsqEj7mlQ6Ob3FrqcKx3L8LPOtFUdxEohpWBdPT02ialpnL1aPRoFJUk7fbsZLIDSTkGoEdc6jFOgPS6TSjo6NYLJaK2pobNXCslujSNI0HDx7g9/sLElrGdnciIZdOp7l37x6yLPP444/vqJuvUHLTMGM9dOgQqVRqk9ayMWjfadUuOwnR+XkmP/c5Zr75TVZGRwkuLSEqCorJRFrWSzmd6PNYH7CSXOX4v/4ZJGvzzD3zTcITiUQmqOWbhJdDIO91D7ntkKysZp/VdAmYTCY+9rGP8fa3vx1FUXjve9/LmTNn+NCHPsSVK1d497vfzUc/+lGeeuqpn6ykhbxZqMaAuxQa3SFeaRWXIVFZqLPaIPl2Igw/gWQyyWtf+9q6FKJUMqn7Rkzg6/Hq7ttB0syw9ff0iOmVrL82vodZTpVcrxghl62ptUxp8nJJ7d2UZBTXO+SiWgfuAutogpVSqpTljBCflo8h04OJRRQO8F2W6xURcgFN5FGLzPOp0kPoXw1aebMtRjW3c6kEqCAIBYtTjMpYk8mU6SAopzJ2JygJ7CVUS3BWQ8jt9tinaRrpdBpFUXJinzGOP3bsWCYRXw4kSSKVqs3/TZQk3vybv8mn3/UuFl6c5sjbLhNdeAn/pIZ/csNfrVx0ntBlkBYL8zc5cPXonXBKGjRVl1CKrekkmbb+eO46BXMv679nuuwEvduspQviAV1qUiszrIaXdLJwcVTf9+p9/TgyXnQCHHgU5m9CuEx/urWHQClvtiwIAhx8DIbMcMBOdhiqL7yw3gxOewje8Gb4+t+CXCBh5zoI5y9Dd4QckkwQNSQ0up4Io05IiPHCByt4S4apDMSTIGZfrj70iVWh5uothgKiBt6LsHaPnHOYSAkZKWdJVVmlk6PrxS7eQIAZ+rGTIChECCLjKZIa2i5CLh/5xSmGcopRnFKJbNt+h1x9US0hV818cbfHvlpRq0RlPhrZIWf4v2qahsfjaZjMXSXzK1VVGRsbI5VKFfWkzd/2brp0LBYLPT099PT0oGkasVgMn8/H/fv3SSQSuN1uBEHYEbKJ8o/9UxxdsBYByWIiEN7odFOej9H+vS34ZmTiz8Ry1rOcsJKIqsgPknQ+4SW94GftDphbwOzNJeNsrTDwGAy9Rv/pOQflPKqW1WOkhSKsXhZU4Xju32U86/OtCgo1GhgEncvlanjsqOQ5vCvmjbtItXVHEHLFJmR+v5/bt29z5MgRenp6tvkodVRz8RkSla2trVy+fLngxV7vLoF6BVajjbu3t5dwOLyjyDjIDZCapjE9Pc3i4mLmPGuaRl9f36ZBu6qqJJNJAoEAbW1tO+5zbQeWvvMdXvmd38E/Nsb85GTmdRHdtScOIMu0220o8QQBNhRk/MtB7v35v+XU+/64yUe9AZvNVtQkPJVK4fF4Mv5zhQZezfaQ2y1Vi83eZ7Wa1O985zt55zvfmfPar/7qr2Z+P336NJqmVdRC3mgU6wyoFY3qOqt0u6qqMj4+TjAY5MqVKwUH/s2QSakGRjGQzWbD4XDUrSu83ApOTYP/11f9EG3IAjNl5KVPSbczvwuEMr/fUUp3yFGkE03IyiQubUHIzRYg5ARk2oQoITopLBxT4Nmd1alW7h00y2s4yF+jib08ZroB/PMy19QR07aOFa+kJf46buKfOOQtl81HJfEovzglmUzmVMYaxSmGqXg+tqNgYy9DUZSqkhxGIVGl2I2xDwrLbKmqyoMHDwgEAlWpcdSrGOXgm9/M0Xe9i/EvfpFE2MLiSOWJuLZDYHPrRFYxCBJ0ndClL9H0brdUBFbug1ykW6qg+5GW221mdUHHMRBNOoEY2UKgzbR+mh1t64TfSxufQbIUlq4shcgS9F0o/dlh3YuuF5ZH4QeOoPuuddKYHpa8W/KgD668A8bvbcQNUwucehMcSYFYyKdO1K+DAXGKxe8exPLpmQILgRov2RyegfkouaSlChwBCpG3ZWzQFgXbOwUSf7NxvabySNR4fOOe6gzorXMuwoQFN182r/Ce9ObIu1NtEbaSbduqOKXZsa/ZdgW7pSOvmkJM2L2xr1bIslyztUE+GlXIaeQRDxw4QFdXFy+//HLd92Gg3PlVPB5neHiY7u5uTp06Vdb5222EXDYEQdgknWh4dPp8PlZXVzPPSY/H09xnYiRM6sEk3W+3cfdLKVTJhLau4Wz2ihw5bWM6DC1RDem8jfCwPjCyPeEgndCwtkukX5JZ+fZGh3f7GV014MQ/hqF1CcquU7o3XaV4Xvl+Doul9cU1rGjCgZzXqlHdyp/LGV2O8/PzhMPhjFyz1+stqPxWKyrN2+1oUm6/Q64yFJqQaZrGxMQEq6urXLp0ace11lYCo8rzxIkTmRusEOrdJVCPJOfc3BxTU1OcP38eQRAIhUJbr1QB6nEjG9eLoijcunULURQzZqzZVbL5g3ZDgmxlZYWJiQlsNltOK3e9HjCNeFBpqoL/O3/D8jNfYnUyhmRuw9bfT8hqxW8y4Tl+HLHMDhaDhJt8+mmiMb3ypCXrmG1AGp2M6/C4UMJh1uKbswQxf5SJr/4tx38s3NQuuWLINwlXVZVgMIjP5ytqEt7MicuroUOu2omnIUGz11GsEKUeMCQr641K4pQhUdnW1lbSK7VR5GEt8cWYQB4+fJienh6effbZuh1XuZO6v4qIvJSs/p4NquWte0Sc2Dg2dSNreyNdumOseIfcRgXjvNZRMon4UC1MufWJQXzF1hUsm1oPqpkiX1ee4KD014DI0S0mW4UwkhYZlFRmlNLn+T8HrbzbLmOq8FKs5fq1Wq0Fi1Pu3btHMpnMFKcYngU7elK1C9FMycrdiGIyW/F4nJGREdrb26v2165nUvFNv/mbTHz1q4RnSxiMFYBnAFzdxT3iHG3QfhRMVkDV/dNW7kK8uGJgBv2Xinu3ZSMZzl3OexDcvfrry3dBzSv4XhzVJZxUVe+sE80weBlmXty8bLkQtghBvWchugBLo/D4m8BmSFx20xhCrsBlcTEEoUFYnYQDr4UzLrAlNy+3gY2xSpdnhsgjIBfILyvjevW9sMWlaDaT3VSuo1iqoMzbodWksTQE2rT+tzwqMPdEN/1ziwBIQSVDTvb59ddaCTBHH9dNq0UJuZ3SIVcK+bJtyWQSv9+fU5xizP3sdnvTY992SEjuho68agm5VxvqaW2Qj0YUR87OzjI9Pc25c+dwuVwoitLQAsxyOuRWV1e5e/cup0+fxuvNd7Euve38udtuHTeLokhrayuxWAxVVenp6cHv97O8vMz9+/exWCyZnGgjiJ9spH/6n9F2VUNLiaQFiZCm5257HnMwMJ5EjqgkkxrynSRmoPsxB6kOCS0NFlFFFKD9iher5kMQoeutcPgt0Hm09H7LxXX5jbzBVrrZQBWObBrw1KP4IrvLEfQxss/nyyi/bVVsWSkqmbvs+ELOfUKuPGR3BmRPyBKJBCMjI3g8ngyxUut+tuOBaZCKa2trZVV51jsQ1rI9VVW5c+cO6XQ608ZtPLTreXz1IuRUVeXGjRv09/czODhY1nomkwmr1cqRI0ewWCyZVu7x8XESicSW3VSVoB4VNbEHLzP7uT9g5u++STIUZGokQt8JKyuLSWLBjeVufkj3lDQJAmaLBavDgdXtxu714ujqwtHbi/vQIRaef56Jb30rQ8IZcNvthOLxTFdcCt2xJyWKrAbDJY9x4ukE43/57zjx479f8+etN0RRzFSVQGGT8FQqRSwWq9kkvBy8Ggi5avFqSErWw4C7FEwmU0MlK7dCMa/UQhBFMVPpWS8YE6dqzmu5fgK1HlsppDX4cA3dcW5B445c3v3eK+oJOUW1I4mrmde/niotWSkWoME0zAhsfJdzQmfJbdxXChNyvWKQVbWziNxE6clCuaOU/5t8LT/gAEFbwa3NYCdFfAt/ulwIHJCULQm5cVnkL6Jm/llLZdd4vcaupYpTpqenM8s1uyhlL6MWQq7cMexuRTGZraWlJcbHxytOkuWjnoRc29GjXPqpn+KF//7fsba1kfT5Si7v6obWAzoRF8zj8DqO6TKQoqQTcIGZLEnIMiGaIFIlUZUttWl2QM8ZnRD0z+gylHICBq+BxQ7JEHj6K++Ky8fCiN4Bl+9tJ4hw8FGYfX5dltMBj2bNY7iDTsot1bb/TShCeD6uQPgHwbuGPukpASGrPVEUwPkoBO+xIRdiIArCSWC8+LbEIyAWIv8qUwTfBEkBz2sh8L/1v7U5lQfdQxlCzrMUhCH9vf7gPJqmYRHSCGgsSIHadl4H1DNvY7Vac2TbotEofr8/U5xis9kykvGVSrFXg+2QyNwNkpWvhnlfrai3tUE+6hk7FUXJSFRmy0E2WhGl1PzKyMv6fL6iii3Vbnu3w2Qy0dnZSWenPmdLJBI5xE9LS0uGoKunxKWmKFgmn8Z2EkLLFpIXTVimYhwdstHynJ6flA9ZSS5lzZ9EkP92Ix+pAFGi2K7Alf8JziM23OlSZqyVYUw+gksoPRjJ94+DxuTd7HY7/f39Gbnm/GJLw5rJ6/VW7KcKlT2/Y7HYzi6i2CfkyoMgCJs6AwyfmXKSeOXAePA3W6otlUoxPDyMy+XiypUrZd2QO4WQi8fj3Lx5k97eXoaGhjLfTb2PzyDSan1Yra2tEYvFuHbtGq2trVVvx9CkHxgYyLRyr62tMTU1lSFz2tvby/JjqQeUZJTlb/4vFr76FKsvvsTUaAR5faLobJWQTOBflfH2kEPIGZA1DTmZJJ5MYvH7CU5NobBBsCUFAaumYQJy+mjicTxA2mRClWUU1qUqy/ju0zGNW5/+HEd/8Ld2RJdcKRQyCX/55ZfrYhJeDl4NkpXV4tVQKWlMehp1DTRKemSrOKBpGuPj4wQCgbInPI2YoFVDLmzlJ1CvREo5kip/FBKZkKvf10mzyvVUefd7q7A+sZH6QdOzh7LqYlgpTQwU7pBzAHpA0hCYK1rqr+OW3Ffw9S4xyKJWmMzTthi2ltsX+tnkJf7C0YKoPQTM/GPrMJ9JXilzbR1jaRFdXKX0d/UbIQvvcaaxVfCVNipxV6g45c6dOwQCAZaWlrBarZnY14zilEZjOxIo1cZboyBoL0PTtJyEoqIo3L17l2QyydWrV2seb9U79j35S7/ErU9+kpahIVaKEHKONug4DrMv6X5soHebdZ4ARyvISQgtwMNnqK6ddx0Dl2H6+erXN5COwfwrG3+3DoK7X/erEwRYfQBaHRrsVRk6j8FUFiHX0gnuLpj5zsZrl66BIzvfpaB3idWbkFtEN7/Og0kFb7lcjJr7BUqA47sh9snNi27lI2c+UeSNQlKZUNG14wxD7K0Cqa/pKwUSG8+V/ukFVk+20RHz4UjHMUUUFJcJM2lSRFkgSW+evudu6ZArheziFEO2bW5ujsXFRYaHhwEysbFRsm17vRizFquCvT7vqxaNsjbIR73uuUgkwsjICIODg/T39+dst9HPkGLzq3Q6zfDwMC0tLUWtg7bCXibk8mGz2ejr68tY/kQiEXw+H7dv30aW5RyVjVqaFqQ/+jD240lUwYS/PUmbItEbUxGv62Rc+qAZaThGen08InZIJO7kVrFITonzH1I48m9AkEQiETtu6kfILaitWy7TLEIuG4WKLQ1rprm5uYyfqtfrLft7UhSl7MKUSCSy8+cruyPtCWwzd2gkzVRV5d69e0Sj0bpMyAwYE7NGJKKLDRgN37vjx49nKg3KwU7wkDMI0UIVquXqMpeLWgObpmlMTk6ysrKCw+GoiowrdgxGK7exzVQqtUnywkhY1ctXCCA6+RKzX/ifTH3t70n6V/DPqETXKzoFEbyd4HSBKlnoGohzb1TBk+d17/CAw2Mn7hdJhKOkyBYQ0yUo4wCalnH6sQGYTFhkOeMlHqtS7m7ymSTjn/l3nPix2rvkmjnwcTgcWCwWzp07V7NJeDnY65OyWlDJgGC3otFVgvWWQDZQKtmZ7ZVaidxYIwm5cmH4CfT09BT0E6il4y4fW0mqhFX4dX9tQ7NKnlCudUJOE1ozCb+IVLo7DkAo8HzWBDuCZhBybhSh9JHcUzrRMCHk0WjdYog5pbPICLX0cyxdhrcbQBoTq8JVurS/RxZO8k7L9YoJuVVN5IpZ4YV06c85r4j8YdjMz7jL75JrVgLUbDZjt9vp6OjA6/VmJFHyi1O8Xm9dKmObndDYjthXrUxYJBLZ83LN2YooRuKuv7+/bB+XrVBvQs7W2sqTv/zLjH7mM5ves7pt9JxJMPcKTD8HniFoOwDSeifb4ggoZfh4lgOLE1bu1Wdb+ZDMgKaTfemY3onn7AK7V9+vtD4lV1OQikI8AJFVXdpyKwSyOgX7zkN4FpZvZe3bAo/GNq/HHaAHnUSrF5LAIFCIVy13yKlsfn7Z3JC6AvILua+rkdIqkyYbFMwbBoDW9f9zNljmMa7D69FY7gBtFcyzGyxfh8/HzZazdMT0E+EIxAm7XDiIkRasfMmyzL9I5Rbk7AVCLh+iKGYkLI8ePZpRTjFk24zilHr69ewWT7da9rdPyNUPBhkyNzfHwYMHd3yBlGF1Y0hUNhuF5lehUIiRkRGOHj1Kd3d3Tdt+tRBy2RAEAZfLhcvl4sCBAyiKklHZmJyczBT5GT6dlTxvLDNPIYrgG+pAnArT/83cahRl0EJSEuCBPpASj1pRn9sYMLjf4uDJjyVxHtzYZ0JxgFCG/ncZuK+8Dquw9bxNFZtPyOVDFEU8Hg8ej4dDhw5t+p4Mq55SBSeVNDHt+K7m/Q65yhCNRhkZGaGnp4cTJ07U3UenEUnJQsk5TdN4+PAhKysrVfne1TuBWkng0DSNBw8e4Pf7i3Y1lKPL3Kjjy4csy9y6dQuz2cyVK1d47rnqdFXKvdYsFgvd3d10d3fntAiPjY2RTqdrJmsC17/OP/ziz6LGZwgtgrdf73pzdoNtoB1TbA1ZhlQKUiKkVZi5D/0nbEjWBINnQJYhuAqhNQgF4wX3I1K4e0ADPHY7SjhMZH05h82GmkggiCJei4RJXjcPXl8nbXeSCkfR1tfX3A78A110pCcZ/eRnOfL9/wWTzVPxucg5rm2Smy3kN1iJSXg5qMbstRZsh3F5tevt9AnHbkCzJSsNicqtvFIr2WYtqISQK8dPoJ4FKVvFvt8JSCwr1d8DAhr30uXe6xqOTDn+RnHJgnZyyzXD4aCeNMzBxthBFja9WWDvIjJdmMnVbusQA9xX+ousVTrGJiv4mm4qT/BW8e9B8HDF9MLWKxRAuVfuR8MWfqIljbvMr6aZz8Ls+JAviWIUpxiVsbWOd/Z6QhKqlwmLxWI7e4JbJ2iaxtzcHNPT05w9exa32123bTcinjzykz/J/aeeyvxtdjrpuXSJtbt3SSR6OfDoJMmwxup9eDhdYkM1oPc8TH1n6+XKhWiB/vOQCOv+dWsbVqKoMkSW9Z9iEERwduiknbVlnbQT9M66RMxOIhAnuqpLd/acBbsLZp5jU5fXhcfAVUiGUwXaqC8hB9BCYUKu3Nu1SG7OeQVCY6Bl5ROVB8V95MQhkEoV8R8C8r3pKpyCm1LgeptA6JMavSMzPHzTEIce6BdoIL1xz7n8EcKDLtyECeLlZdMapEp3yDcS9fDeqWRfRpzNV07J9+txuVyZuV+1xSnbUYzZbMnKar3DXw2xrxIY1gayLOPz+Th06NB2H1JRKIrCnTt3UBSloMJIs5A/95udnWVmZoaLFy/WTPjuxdxENfNaSZIyTQmw0bQwPz9POBzGZrNl3rfb7SXPm6IuYAbEZALZR45pgOIVsbwQY/WcHR6kMD/qILZOxoleiRP/PxtnfzQ336lpgCaU7be6FZ6Tv4d+cW3L5bajQ24r5H9P6XSaQCDA8vIy4+PjBXOZlRRURCKR/Wd2HbGthNzCwgIPHjzgzJkzeDy1Je8LoVGEnLFd40ZLpVKMjIzQ0tJSte9dIyQhy4Fx7Ia8ZrH16t0hV+3njcVi3Lx5k6GhIfr7iyXsykelnym/RVhRlByyxmw2bzJCLbYPNZ1i+N//CM/+2VfQRJHeE+DohVAErG6IhWDl3houF7R16Ibvywuw3uOGf1WmxQvz42B1gLdb/5FTEFiFaCB3fzb0bjkJsEoS6vq9YW9tZTUQQAXagTWAxPpMUVWJJwp8T2HdMMG5vl0TAkmrDUGBVCTN137yMV7/Xz6Do/dcRec3GzuFnDGZTHR0dGSIhmQyic/nK2oSXg52i65/tahlILJTvvdGotGfT5IkUqk6lebnbTf7uW0Uc/h8vrK8UgthuzrkKvETMApS6nEPlYoJSzL8t0Bt+zhp1rhTJiF3RBzHlKn+2xgr3VW27pDzuDdXv6bSArb1UWVqM1tXEHGhB7OWS8i1CWEmlK4ia2yGljX7ipfZIQfw5dRreasNBFIcFKoj5G6mRXpElUW19Dn3qSL/LWzhlz3l3Zc7oSMhvzglf7yTPeErtzhlryckYd9HpxRUVWV4eBhJkhqSuGtIgYfJxIX3vY/pb32LgUcfRTSZUJJJEEWWXn5Yd2XFfDg7YS6fnKkS7j7wDsHyXZip7pEH6N5v0VX9Jx+iOU73STj2Rhi8Ah1HIHgfDl6BtYf6j28ClDQ8XupxOAb0AgvVH+cmFLsty3nUFiHXjM06vheif571YgzEU6Dd37y86fQW+2or8FoVl7UrorH8eC+dzy5wv/2xDCGnRDfuO28gwDy9tBJgmkFWxcCm7eyEeNTsfTWiOGU74l+ziz+reaYbhOc+9GtSlmVkWUYQBMxmc0NymfWC0ek+MDDAwMDAts7fjfmVQRCqqsq1a9fqNgZspLLNdqHW7yu/acEoZBgfHyeRSBT1NRPmXsG2FkIxCVhicaTR3Gs8fd6O7VtRYnYBwS2SnNQHC23/1MG1j6ZxdW9uPogoLlxCMc3nynFdeZJ+aeuqIFU4XvD1nZTLMpvNOT6B2bnMSCSCzWZDlmUcDkdZMXjH28vsd8iVD7vd3tBKikYTcmazOSNReezYsUxVVbXbbPaDPhgMMjo6Wtax74QOOUNS8+zZs3UhcOvRfi5JEu3t7RnPw3wjVKfTSTKZJJVK5QSiwLNf5uvvfy/z01H6emElbWFyJIGnG4JZs/uOJwZxLMwgmcDmBEcLCBY7ohpHMEu0eGWGTgGC7v0AeqVqWy90DYLJDIqi/8hJG8xBLJZAVRQEqxVBVfEHApn9raHPA/MLSFsEcItgFvQizZgKflX3MY8ChKKYlRTRNROxVRmTLcQn3/Ba3v0XH6fr6g9XdW53KjFjtVrp7e2lt7e3oEm4x+PJtIUXk17cLZOkarGbPOv2IhrpIWdsN5lMMjIygtvtLtsrtdg2m03IVeonUM+ClFLH9v/5TUQqIJQKoUPSilbx5+OKtJGRFbLEjV+Qz5Sx9ubzIYgbhKw/Vl4FeVjrIb8/xisGGJeLjUkKfVcb5yxawdf0F4nH+ajNhKBN49DW8Aox/FplmvgqAkdMCoupra//j4ct/MuWNJ3S1ge5XR1ypZA/3kkmkzly3g6HI6cytpZ91QvbJVm5T8gVhiiK9Pf3V9xJXS4aFfsOvfWtnPqP/xH/U08x/3wdjNwqQNshmLlewwYEXS5S02BhBELzW69SLkQzdJ/UO/h6z+v76T61IXMJugX1QF5zh6ZBZAlaPlRi4yp6F3Y9CbnCAiLl+bNtUW9ndULqMUhni7a0Fl7W7KCwXGXmcCSEfAauSl+/zoEYSy0OQtGN+Gz1JzN+eh1+fcYnoSKiIggJ7olRjqvbk2zbibGvXsUp2xGPmjnXVBSlqu7BaDS68/2ImgBN00ilUjk+q42KafXA/Pw8k5OTde90rxaiKCLLMjdu3KCvr4/BwcG6Xf87MR+10yAIAg6HA4fDwcDAwCZfM1VVM4UMLWOfpwUI9riR21SkuXBmO5oFzOtecTEZpHN21IdJLn7WybHvKhbEYTY1yFmhftreN9LH+DHbF0ouo9INwvZf+5UiP5cZj8e5ffs2i4uLTE9P09LSkiFSCxVb73hCDvY95MqF1+ttaJBpdFLy4cOHLC8vVyVRWWybzcLMzAyzs7M88sgjZQ2C6q2dXKmkptHJUE+PwUYg3wjV5/Nx7949RkdH9UDU4sD3O/+eG5/5Bzrawe2B6QWABLaWXDJu6ILE6kqc1XUpGbsDOnshntRYnAVIcsAK03c21rHY9S45mwPkNARWILCsk3U9BxO0dIBDtRBdE9A0gXg6N3NrZ13C0u3GpskQixFQIaJBpMTl2WmzsjLykNj6d6qpEFpQ+fS7fop3/O6LHP+hj1Z8LncqIZeNQibhhmbzzMwMUNgkvJmSLLB7fATyiet9VIdGFqOk02l8Ph937typ2Cu12DabScgFg0Fu3brFkSNHyvYTqGdBSrFtPUjDn4Rqv0dXKpC7PCeNbByXttHq8M3UVuX7hRsKTCZbRlZLtvaUTDga8NFLfq+7Rwgxp3nQsCBQWadnJYTmitZCWDiPW3sJlW6+z/oif5R4bUX7A3goi4hoqFu0WUQ0gd8KWfhNb7LkcrBzugRKwWq10tPTQ09PD5qmEYvFMmOeZDKJ2+3OTOiM4pRXg2RltfH91UDICYJAZ2dnw7xYGnXPSJJEz1vewtt+7ud49vOfx/eNbzD35S8TWy6h61gHeA9W38nmaIfO4+B7CPM3az+WQuRb10kwbZF/FwR9XiHkvdbSA1P/ro+Dv1yCIRwD+oG52o8fgELymFBe91kZ03znRQjegXUrVdTw5lgp9G0hVwlooQIxtkpCzp0Icv1dV7HMRJAlEZOi0j7vI3XChEWV6Q1sdABYSJHEzlPmFY4nN5JtuyEeVYNqiyPzi1NSqVSOcopRnOL1ejflWJo5r232HLoWD7lGKGXtJiiKQjqdzlz/xndXb4WqrVDO/Wd0oMmyvK0SlflYXV0lEolw7do1Wltb67rtV6uHXC3I9zUzLGBWV1eR7nwLAFUUiZmFHBvX1FUn1m/rSlxKi4BrSOPRz2nYPMXJOIDbqbNcEkfrcuxpzcrNlIdfcIyXXK6QXOVug0Gk2mw2Dh8+jN1uJxKJ4Pf7GRsbI5VKbWo2qLar+amnnuJnf/ZnURSF973vfXzwgx/MP5Yh4BPo5UwS8EFN075U+Ydiv0OuXDRDtqtRHnK3bt3C7XZXLVGZj0Z0CRSCoijcvn0bTdMqauOu93dVbmCTZZmRkRHsdntZnQyV7KPRwdUwQrXb7Vy8eJGVv/8cf/ejP0U6nsDbBnN583hvDyysP/cPnIOpmwr28xu3aDwG0w8AErhbobXbisWW5PAFECW9ClVZ59c0FdDA3gIWG4gimK36xFmQUrS0Qlp1o8gmUhGVREgmHk1hclixWc0s+EIoArRLuiRlsfShHd0LfSWRu0RkUZ9tygn423/5hzw28jKv+chXEKRyndN3ByGXD8Pc1vCiKmYSnkgkmpp4a7ZsV7VJ111RcVMH7NbYJ4oiq6urLC0tVS1RWWibzfKQM/wELly4UNF1Vs/4XCzu/Kc1E+kahe87JY2xdPnbOCHplYQaJgRtcf13B8/KW3tVCAVbCjae7zGxvaxjWFa7NzW9uYUQAArtmDa1R5SO2TFNQEJDKfNcjqmPc014CVUc4m2W61URcvOqyEWzwivprZ+xfxIx89OuFEOm0p9jJ3YJlIIgCDidTpxOZ6Y4JRQKZYpTNE0rmJxsNLZDsrJa7Mt27VyIokgikeCFF17g3JveRMcP/ABKOs2DL3+Z4U98gomvfAVVrpIxKQG7R1ejqATdp8Fsh/nh6n3nRDN0nYC+C5WRb4UgCKCYBaR07jNPABbf0UXvl1exfrtI4YUGuKkfIbcK9LB5UlNO3UcZwx0RcHw3RP9M/1t5AJIZhKzaR/PZMrYTUZjr6qV/eSP+aWkRoVIjuXW8IfECX08/woPjhzlxZ5zByTlmH+vn8NoUA4ENQtRJlCR2Rk1rkDy4se89SsjVqzjSYrEULE4xZNuM4pS9ntCvlpCLxWIMDAw04Ih2PvIlKrfTd8qY65T6DqPRKMPDw/T399e1A60WaJrG+Pg4wWAQh8NRdzIOqssZ7sY8ViORbQEj/W9dPtkaTRJK59IR4rIeMFWHwIn/oDLwRBnVncBw4jyi49N1OdZXlO8hgcCAcKfkcqpYWK5yN8KYCxr5a5fLxdDQUM58bnJykg984AMMDg7S19dXUd5OURR++qd/mq997WsMDAxw9epVfuEXfuG0pmm3sxb7ZeAzmqb9niAIp4EvAQcr/jD7hNzOQSOSkoFAgLW1NQ4dOsThw4frtt1mEHKG/9pO0Hku5/NGo1Fu3rzJwYMH6evrq/sxNKvaRUslePGnvovRv30ahwOW/YWXs6xXXx44D1PD+u+KdfMtKpmgtQ2CqwrWBCxPld5/72EI+fSuObNFl1WZewCqFsHZpWLr0D0leloBkqSjSXpSHQiv+AmmFMIadEtgEWBB3ijS7LObWY6nCyrABGbSWF2QXO9Af+5jL7A6dpK3/69vYfWUN+jeCwOZYibhPp+P5eVl/H5/zSbh5WA7uhKqrZJ8NRByjUYjYl8qleLhw4eIosi1a9fqdj01Q7Ky2kKU7O3VU7Iyf1svJgT+T7T283nMrLGilL+dA4I+IdLoRUTv6I0Kx9AKykLmQhA2nw8tSx8iqLWWdQxjwRbe7M19zbVOyCWFDkxaZYQc6BLLwTK/rr9LP8k1y8cAC49I1ZsqmQucj0JIIvDrQSu/1156grnbE6CiKNLa2ppJjBiG4ktLS/j9fm7evJmJfYbfbiOw3cbqlSCRSNSlyGEf9YWh0pFIJHjta1+b+Y4ks5nj7343x9/9bqJLS4z+7//N8J/9GWtjY3XZb8+Z8jvbLC368uElWLq99fLZMMi33vM6AVcL+VYMqkVESm8ek7TFA9z4lfM88d0vIESLrHwHGIT1EFUbNHRd/vywUk6+r0zxBqsDUk9A+ttAHMTToGWpaJlcFJfOzML0wFAuIZeSECzVjZVMmsbhrjVm2vo5wTjOeIxlcyeHmcKdDCPFZBSHCQ8hfHQQEgJoaAg1FglVg90e+0oVp8TjcV544YVM7MtWTtkLqGXut9e7wwtBVVXS6XSOROV2wpg7FvsOFxYWePjwYc0SlfW871KpFMPDw3g8Hi5fvsx3vlNlFcoWqDRnuN3f5U6GtvoA+9Iy4XY7yWNmxL/aqIhJXbJjeUkPkMqHWhh4otjAIG+bGqyl6yeF/rzyLgAGxdKDMFU4Wrd9bjeK3fvZ87nDhw/zxS9+kd/4jd/g3r17vOlNb8Jms/G+972PH/uxHyu5/evXr3P06NEMf/Ke97yH4eHh7wayR61GGRaAB6hOZF1gX7Jyp6CeSUlN05iammJxcZHOzs66V18YUmCNgtGhUy//tVqxVWBbXl5mfHx8x+hSVwv/N/+aBz/3M4hKgkAE1kLFl00n1zvjhjdek00bTxObHbr7YGXZxPSEDMi0lnjYmCzQdxRW56CjD2bu6p1zNid0DcDcuEpoBkIz+oS89SC4+mHmH0AvI9UhAHFN/7/fpM9JNQ3G46WvV+8BM4ujG8uMf32FwJsu8u5Pf4bWY28quS40f1LWDBgm4clkEpfLhdVqrdkkvBw0u0tg30Nne1FvQs7wSu3p6SGdTtc1gdBoQq4ehSj1lqzMf978ks+EVofEl1zhc6xN1AOSJnaAqmc7F7VTZa1buENu47oIqN4C72+Gz7G5ulBM6NrNUa2DzfR8ISIw99y1CBrBMqUr/yLxOj5oAYEgA8LS1isUwcspiXZRZU3d+t74dMzEv3WLnDCXvqZ2W5dAKRiG4larFZPJxIEDB/D7/Rm/XcOvoN7FKbvNz3QvJWeLYTdJPyWTSYaHh2ltbc1I+hSCs7ubR3/u53j0536OueeeY/jP/oyxz36KZKgM5qUQBJDL6NpqOwwtnbA4CtNlWNvlkG/rBFy9ybdC0EyFn2XuRJj7/UeY+396GPj1xYLLAFDPxtpCX2GswGv5sFC2bKTzHARvg+ZHTymtQ+gCqcxLIuHOPVAtJZZNChbC4dgs44eOwrf1v2PJjZNq8yeJOky4CKOhIQlpXhTDXFH1+fduJ8mKoRkFG9nJzLW1NS5evJijnGKxWDKxr57FKdvxjK1WIjoWi72qijE1TctIVAI7goyD4vMxRVEYGxsjnU7XLFFZThdeuQgEAty6dasu9glbodi4pdT3ttMLy5ttn2IgefcLuDWIu+3Il1SkX8xqWV8/XemLVhz/pnzVgbjqwCVE6naMz6evYkWjS7xfcjlV2DsdcuXOl1pbW+nq6uLxxx/nR37kR1hdXWV1dXXL9ebm5hgcHMz8vd4Vne9a8WHgq4Ig/Ay60+1byv8EWdjvkCsfu0W2K51OMzo6is1m49q1a4yPjzdNYqtWqKrK+Pg4oVBoR/mvFQtsmqbx4MEDAoEAV65caejxNjIpoMSjvPxvv5+ZZ55haQmSZUysbU6YeDn3NVkS8HjA2wELMzD1ALJnhPEisadzEBRFl4qRkxs+czYnJKIwNw6trxkg8J1ZAPqugZqGhZc2b0tb/8cqQkSFFhGmFOgQQbQ7WY1GC4qoWFqsQC5pt3o/xSff9L384z/5MINv/UDJ87HXJmX5+5MkqS4m4eVgt3jIvdomZY1CvWKfpmk8fPiQlZUVLl26RDKZZH6+umKlYmhEN58RT+tViFJvycrsbX01JvDNeB0kk9C4naxsO571TjQtyxznvnKyrHW3IuTWtPIIuXF1c/e72xyHOCxE7HRt4uc3Xyv5R+IQNcpV9rql9JIQjmBVH2AlzaAQYKbM7r5syAicNCl8O7X1d6Ag8JGghb/oKE+GpdGo1ken2n2Joojdbsdut2f8diORyKbiFK/XS2tra03Jn2bH9mrHlLuFoNoNMMb2tV7ThlfqiRMn6OjoYGWlmAFZLvofe4z+xx7jLb/1W9z9q99k5BMfZeo7cjnNvRkMXILZFwu/J1p0Mi0VgeUx8E0UWS6PfOs9D92nGk++FTwWqfCHd6Z0durmj5yi6yurWF4qkoC7CwwB03U4mELDjQiw1XkxUTYhJwKOd0P0E6Bm+cGZzhX2Xy0Ej5ZbwaklgBrq1V689giWAZmE1YwtmUYIbXwnLYEo0X4nIhoSCiomvm5Z5kpioyB2LxJy25EwN5lMdHZ2ZgiERCKRkQKrZ3HKdny2aomWWCz2qinG1DSNdDqNoigVEXHN+D4LzXVisRjDw8P09vYyNDRU8zHUg5DTNI2ZmRnm5+d55JFHmiKFXk2H3P64rggmnwPAlJSJCxKmqH7NpY9YsLwYRxPB/j8EVJOZ4qY5uZhP9dMv5be+V48X0kP0SVsnbwt5yO3W770Sgja7gN6QIa0Tfgj4U03TPioIwmuAPxcE4aymaZUnYfYJuZ0BSZJIJsu7kYshGAxy69YtDh8+TE9PT2a79U4gSpJUd0JO0zRefPFFvF4vly9f3lFVGoVku9LpNCMjIzidzqYdbyMemitf/RQv/eq/Z/pBiHCBTmtJAq8b7DZQPF4WW8w4pgKEfSncnbrnm8kC9PUy5bahKIZ3XN52TJDMq+oUJBg6CaoCgWWYupX7vqtNJ+QAAs/N0XcVFm+CtM57prLmf9YhC/YDVqQXEqzF04Rk6JFgen1CuqoC0ShmoB2I9FqIL2wEL7nIrZcIanz2B/4Tb/qVG1z4mf+ts4YFsJcnZYWShLWYhFezv0ai2v29WiQrd0MxSiqVyjyPDa9UYxJZTzSiGEUQBObm5lAUpS6FKPWUrMyepGka/PJafYZhpy0ar5RBBmWjRTAe+BvX48vK6bLWLUzIbby2XGaH3Jjcu/m4THpgSzsPbnovHo/g2iJHZavw9prUXsNJ/gJFOMb32W7wX+NvrWwD65hVyt/xF+JmXkymuGxtvHfwVmhmfCi0r2y/ggMHDmSKU4wOOsObta2tDbfbXdHzs9nFKLWey500Tt+tMOJftUSuIVG5trZWk1eq2eHg7E/8Cud+9McIj76Lm5+a4uZnILRFTYtkgWCBvJKrD9qGYPkuzOap6+4k8q0QpIIsGNhS63MGUeTFj5zjsX/yMkKxaXu91FwLKZWk0UWSSqUMKswfW+2Qfh2knt/wkTO3UpZcJcCR4AM0ATJqyInqx14Ru5MjAw8Ys59k/OQRzt4cw7kS1eU7Aa8/wBK6tL6NJDFM3JV8mfWbmWDcy8WYhWCz2ejr6ytanOLxeDLKKZU805od+4x97ktWFoeqqqRSqcw1Xu51XmtMKxf5c8fFxUUmJiY4c+ZM3dS1ap3zybLMrVu3kCSJq1evNk0BoRDBpqoqiUQCu91eZK19FIL94SgpuwmlW0R9eeOcqr1meJBC/tcteC/HCAi2sguZ7qeOMyRt4eFTJkJqL/dkO6+xFPEYWoeGFU04sPn1Hd4ZWQ9UU0TR39/PzMyG9vjs7Cxsdgj+F8A7ADRN+44gCDagA1iuaGf7HXI7ByaTiWi0PO3ZfGiaxvT0NAsLC1y8eDEnAd4oia16JjoDgQCxWIwjR45kiMSdhPwugUgkwvDwcA7x2YxjqCfkSJCR//gj3Pybp/EFQBShrRUcNp2ES8sQjUEoAqvGM35B/yUCtJ+D0Cq09uheb9MjPqyBBVQ7DB2BmQk9gWvA5pCIhjaumdZuaO2CaABWingt2LK5Dk1j5RYcejNMfAVcA/pP60GYXukjeXee5PQGweYEQurm2JgGVgCWUvguXKBb85MeniY4V7z6X1PgG7/8t6zeusQb/tvTSFbX5mX28KSsnP0VMwm/f/8+yWQyYxLu9Xoxm81b7m83SFa+WiZl0NjquVoJOUMG5NixYxn/w3pstxDqfY+nUinm5+dxuVx1K+yop2RlNrn3qYjIcIUkWjG4xMquJSdhrBjjo41n9dPpcgm50ljS2srazq0ChJxlPWO6pnVs2pHVsvVzxVqmn5uBZ+QnOWn6CzShkzebr1dNyE0pEmfNCqPp8p59vxK08oWuKiXt6oidFmuLFafMz88zNjaGw+HIEHR2u73ksTc79lU7lmi0h/ROQjMKUmRZrip5afjRuFwurly5UpdxoSYdpeXcs7zh0Pfzxn/3LBNPw8ufhrGvgFKAABq4BFPPrf8h6ASbBiyOQHheJ996zkDvhZ1JvhWCIIBiFpHSude5Sd5oOfMdamPpp9rp+d21whu5BxwEJms8mEUKk3sOShNyVVwKjtOQvgViD7AMUgVN0Z5kiOhgK87pAABSUkGt7jAYec0ZXiNcx6olWRnqhJtjdM2s4Ov30hb30xHYOOdOosRwEheCKKhIiHu2QHKnWSMUKk4JBoOZDrrs4hSXy1Xy+dTs2Af7dgXFkC1RKQhCxXGlWYSckd9UVZWxsTGSySRXr17dMsdQzT6qQTQaZXh4mMHBQUPurmnIn7PH43Fu3ryJIAik0+kMce71ejGZTPsdckWghRdwzs3iG/SQflSCP9KDrtIhYbkRQxkw4f1P+ryoHD9zAy8nLvF20zfqcozPqz+AikC/VJqQU4UjIGw+xp1Q6NFoVFNAf/XqVe7fv8/Dhw/p7+/n05/+NMAX8habBt4M/KkgCKfQR2vlyVNkY99Dbueg2uRhOp3m1q1bWCyWgtUXjZTYqhXZRKLL5aKtrbykWLORHaiWlpZ48OAB586dw+XaTMw04xhqxdIX/4zh3/wFov4wbR7wuCCV1p8HgqATaSYJWt36D+ivLQ/2kpI0ugNBbC1x7C3rEpMjYMwME3G9Q87bAVYrLK7XEticG4TcwXOgpGFylJLVJGL2pdxqp/t0nMWX4PA/gtAkrNyC8CwI+R6agi5VuVTqsleh7eZN0oBnADyDGjYXBOdALjIJvfmpB6zdP8F3ffJrOHrO5Ly3VydlUHmwLmUSPjMzg6ZpJU3Cd4tk5V6flDUL1V7LmqYxOTnJ8vJyQRmQRnRy1xMGkWhUE9frnq53h5yqqqQ0+PBa/e7Jabmyz3pFeiHTnCxqeiW8hplvpsrTw9+qQ26hzA65KFYU2pDYqMY3aWEAltXOTdlHSVI3yVFqecciVniNfibxOt7XAqBwTnphq8VLwlkBGfjNpIlvJiTeYKvveLJS7DRCLh+FilP8fj/j4+MkEgncbncm/uUnjlRVbXgSKxvVxr54PN4U2aVXA6qdoxleqaX8aKq+V8R20q4vYYq+nyNv+AxH3gDxAIx8Dl75S1gY0RezumHpDjjaGap8xAABAABJREFUoPM4BOZAlXXS7dIP7Q7yrRhkiwkpnSsBJWhgS8dJmPUOg5f+xTne9tWnMd0p8gyvx60cA7qBYN7rW53Tar52wPndkLwDpt6sbrcyoQzYMjKdgqoRk+w4lcqKOJbaOrnYdhMAeypOuEcfY/fPLnDHe5y2uJ9e/4Z/aisBVuhCEhS+ZQrwJrm5eYRm+ho1M3FazbMj27oA9IIBv9/P/Pw84XAYm82WeT+/OGU7ksLVPh/38txP0zRSqVRGGrya89OIvGOx/USjUe7cuUNPTw+nTp2q+9iw2nyn0a139uxZ3G731ivUGdk5Q0PO+uTJk7S0tKBpWoY4n5qaQhRFEokEoVAIr9e757ulKkFq7G8RVQ0VEe2SgviCPiZIn7Fh+1YU6b9aMbkqLFTU4HriMX7U/am6HOPzad22rE8s3ZRVSK4SXh2EXDXPbJPJxMc+9jHe/va3oygK733ve7l58+YtQRB+FXhB07QvAD8P/KEgCB9ATyr8M62aBMx+h1z5aIYWcqUBzJCoPHToEL29myu3QQ9YhhFrvVAPQs5o4zaZTFy7do2XX355xyZPjaTkvXv3CIfDda/AKfcYaoGmaUx//H8w8ef/nQgx7t8OYzGDww42q07ASZJOvKmq3iGXTEI0rv8OwLyuSxP0irhbdVmTtTn0B0ne48e/7pfZd6SFyFoEs1WgxQvdB2DqdnkG8Mr6fjsudhBwtKDKkyT88OCL0HNJr7xVC1zante2sPT01map6oFupnuO8ZaWZ1kdVwisd4+b7WBvBWsLmB26JI8RqxQ5wld/8vU8+Z9/n44L35dzfndyknA795dtEg76vV/KJLzZn09RlKru51eTj8BOgyEZbLfbMxKV+ah3J3e9kO8nsLq6WtfYV88OOWNS99G5ONNKa122OWRSmZIru78fMemGpRogaHocigtHSFLufVvofGxcG3NK+Um8pNCDQ8si5NY75ObVAklxbXOAEvIypalEfF33uTx8LX0KhQ5EbZHe/GKUCnEzJeEWNEJaebHrw0Er37TFtl6wwdgtsTa7OGVgYCCnOGV2djZTnGL4zymK0lTv5FqKUV4Ncs3NQKXJy3yv1GLyU0ZhRtX3imBDdn4CTTyMKfEb2Fvh2nv1n8VbetdcMgyubmgdhJ6zu5d8KwTVVPi8dcR8zHr6AdBMEq985AyX3zOCUMivbRw4DBTxzSsbrWwm5Bo0BbVYQDkAZo2y5SoNSM7cOBs1OSsm5KZeM8Q1QTckdKfCqO0CEYeDlliMgKbL0PUHNjRSncTQ0BAQ+JZphTfJbXu2QHK3zTMtFgvd3d10d3ejaRrxeByfz5cpTjEKsb1eb9WxqFZUcz736tyvWonKfDSLkIvH4ywvL3PhwoVMfqHeqDTfaeQKY7HYtuQKDRjzwMnJSZaWlrh8+TJWq5VUKpXpXPV69ULEVCrFyy+/zPz8PPfv38fpdNLW1kZ7e3tNvpD1xnZ08KUmn0EVQPMAIQHpbgrVBubRBOnvcdD5XRvxrZjUdT6SqpVlpQevWLqjrVzckM8DMCDOllxuLxFylV4L0Wi0qiaad77znbzzne/M3/eHsn6/DTxR8YYLYZ+Q2xkwmUxlBzAjoTc3N8eFCxdKTowbIVlZa7CNRCKMjIwwNDREf78+sWnEcdZr8KppGvfv36ezs5NLly7VhRyrZhvVBCM1neb+r/wK43/xZ0R8AUwOmEkKOB26JGWqDK7WYgar20bkeCtCm5XetQXSyRROL7R4AQEWPQcJW00cXVnBnAjCeqedZpGwSSA5JZweSCWg5yAoiu4dpyp6t5ychnRaJ+rSSUDTCcIjj8DMQgJ5cTUn9bj4EvRegcVXQMuaCLuuOQn+Q2Eyzg64XC7UcJhEj53kgIf2u/cZX8297tJx/ScbrUPg7tVJSDme4i//8fv5/s8l6bryw8DenZQ1Yn9bmYQnk0mWlpaaNhisRbIyWyJxL2MnyVkYnWVHjx6lu7u76HLNmhRWAlmWuX37NqIoZjraRVFElgtl86pDPTvkAOZDEf6r2Vmd9lQBHDBteHuWi1PSHQA0ehBZBGBFO1X2+oU75DaujekyO+QAInTj4HbWtsPr29j8LBDYHGA1TcjpXnA6neX6gGcwz2sY0P4WMy5OSYvcUaqTzk4gcMks82yqvOH1SymJL8RMvNtRv+t1J6PeE9VixSmrq6uMj48jy3LGd7WlpaXhcX6/O3z7UUmcMrxSW1paihai5G+3putXEFAcH0aTDmGK/jQC+n3fcwb+0UcgrtmwCxXoGu4imIrcFq2JUIaQA1g63YXvn7XS/keBwivU4xYu9BVuddvWMJ229IMWFCBe2TjCnM4t1ohLlXXRhgdauWJ/MfN3e8JHV+cSY2dOcvHGCKm4XqzQFvcjJFU0q35izMjImHm47iPXzLGq0UnUrH3t1m48QRBwOBw4HI5McUo4HMbn8zE3N5eRR/T5fHg8nqaQc9VeJ7IsN7VwphlIp9PIslyVRGU+Gj33UlWVu3fvEo1GOXr0aMPIOKgsN5lMJrl58ybt7e088sgj29pppqoqwWAwo55Wal5osViwWq0cP34cs9lMNBrN8YVsbW3NKLlsB2mejWafU/ODlwn1uEg/IqG8mMakQvKqE8vNOO6PbsyDNMBcoACzEBbSfcwqA7iErRsHysELab0hp18sXfmjinuHkKv0mPdqEcV2YU8TcuUGMFmWGR0dxWw2c+3atS0fjjtNsrJYG3e9Cbmaq0PXEQ6HWVhYoK+vj2PHCj/MKoGR2K70uCpNiMvhMLf//b9n4rN/RTKLdbN1g/pQo8OrE3KlIInQ2Q5WC/hEC9pzi2gaPAAQoPsQWGywMA5yahILGbWSLBhlnTEOnwc0mL239fH3HgGrE1JxUA52QFcLlslFUlkG5wsvQN9VmH1JQlQULAMWYncTmW49wSTQrWpYRYiqsKqCkEjgABKBFPK371GsXsLVA60D+vH6piAwqxNyi7f0qmBI89l/8q/4/v8r0XnpB3dd5eJO2l++Sfjzzz9POp2u2SS8XFSbtNpPSjYXmqYxNTXF4uJiQYnKfDSiyKMWFPMTqDeBVq8OOVmWuX//Pp+0DxAU61flGa7i0A4LDwFQhU5ETSfkHqgny16/ECFnJJc1BKaV8gm5gNZLNvUmoNIthHmoFJKN28y05R9JNVHjBeUJBqW/QREP80+t1/lI7N1VbEXHslrZEXwkaOFddhnpVaBq0+hka35xytjYGJIkMT09nfEoNToIbLZCRlK1oZZilFeLZGUzPOTKmaMZEpX5XqnFYHSI16NCX7X+BGlxCCn4/UjiRhJJREHWJEzCzip8qQfMQrKg+kdLcrPX+42fvsBbv/E00sMCcfwBcGT9/2pRiPPc6rKsYQiweK6H5594hO/90JcRKrC2N69F9UzNep4yIVX2zEpftiMKgczfTjlGRHSwNtQGN8Ac2EiA2vwJ4j36M8hGgghm0kKY2HqhzV4skNxL80xRFPF4PHg8Hg4dOsTq6ipzc3Osrq7y4MEDTCZTRjmlGcUpr3bUIlGZj0YScrFYjJGREbq7u+nr62t4LqTceWS2LKThJ7xdiMViDA8PYzabOXPmzNYrsPG8FASBlpYWWlpaGBoaQlEUAoEAPp+PiYkJzGZzjqLRXr4vtXgA78wMvqFWxEfTpD+qGw6YZtNov+rA2r+RRE1hxlpmZeXd5Al8akfZy5fCRPIs84o+xhsQ75Zcdi91yFV6zDs+X7fvIVc+dsKkLBQKMTo6ysGDB+nr66vbditFNYnOrdq4G5WUrOUhs7CwwMOHD+np6cHj8dTtuBpZvZeYn2f0Z3+Wqa99DbnAdxRbn8+sBQqv394KLU5IpWDFD4sZa8pQ7oIaLK0XY1jsID9xAIIJTKNLFMPEMBw4DZ2D+t8rM4WXc7VDYAkSUYhHIH5GxDK8SEoA9yC09OoykokgrNyB1avn6XxlFJNbRLIJWC86kCMKsTsJFmMaqOAVYdAEs+k0MYBE7j3haAPvISeSFCUwC6F5COt5X7pPgdUF08/nHmcioPHZ730/3/95CdPBt+zJSRk0N1gLgoAkSRw4cKBmk/ByUa2Z+H7FTX1R6rpOp9OMjo5itVq5du1aWd97I++RSu/BUn4CjShGqXV7kUiE4eFhpO4BPqcN1enIwIHKrVTl30unuKb/IjgzCdKbyumy1y9EyGmarpus4SJdwfByVevleN5H6JMCPChEyGlbT7iUKoYDn4k8yvd6QMXJ683X+QjVE3LjssRJk8KYXN4z8K4s8emYiR9x7v0uOU3TmloRLIoinZ2dtLa2omkakUgEn8/H2NgY6XS67sUp1cb2/dhXP2w1R8v2Si0lUVnpdiuFZn4jE6G/4JDnZzAJ+uDdKqSZUA5yWJqs2352EhSTiJTOjaX21GZ2TLGaGP3VE5z/iTGEQqG31infWhXbrMGp4uuveQPhASff+LnX8eZff7qwHGcBCLIGh4D7+t8JsXyFC+WsQJtlYdPra1Ib5h79w3gWQqT7TZhVGZc/miHkWggTwYUoqHzVvMaTmrgn52N71a8ONoiAI0eOALpyit/vzylOMeZ+9ShOqTYPY6y314iIesaLRhFyS0tLjI+Pc+bMGVpbW5mammq4CspW86ns+Hz58uWqrs16PkNWV1e5e/cux44dY2amSJKtxHHkQ5Ik2tvbMyRjvqKRy+Wivb0dr9e757pG43f/BresoLhEBE8a4QWZ1FU7oqjR9v4o2VUxcexY8/OkRTCSPI9EGqmWqpl1vMgPZn7vll8qyZSoQmHP9WZ2edcLlRYTptPpnX197nvI7RyUCmCapjE7O8vs7Cznz5+vaCLcKMnKSraZSCQYHh6mo6ODEydOFLzxd1JSUlVV7t+/TzQa5dq1a0xPT9eNRCtGyG11vFsReeE7dxj5mZ9h7vr1go94QQR3D4QkaPVAKAx93fr/Xo8uL7kW2PipBKk4mL6tG7A5e510OKKsLEGsQDf21G0YOgXTYzB4EtbmIZYVw0xW3cMgvKaTcf0nzSSen0C8OoTt4TShGQhljzEEkAWBtTddxfLiddJLMvHxjSSo85wD90OFhUgSf9aJMVkknOc93JTO0LM0CVMzxHy5paCOdmg/CDMvUhRxv8Zfffe/4J2f+h8InY+Wf9JqwF7rkCuFUibhoVAIu91e1CS8XOz76Gw/jPhXKMkcDAYZHR3lyJEj9PRUJ81XT1TS5ZwdS4r5CdQ79tVa9LG0tMSDBw84d+4cPx9uIRGvHyFxXEjxilb5hNUrGJ3WG9fHM+naCDlDTlKmtaJjmVd7NlWy9YhBvpo6hYaIkBWBhTIqIOUqeuQ+rz6OotmIR1c4qD1d8fr58IqVXS+/HrTyTx0y1t01h6sY2+npJggCLpcLl8vVsOKUWjrk9gm5+qDU3K8cr9RiaMTcL60dY1H+a/ps/wpRuQFAj7hIQrNiE2qv9t5pSFms2PP06y1FPNlnL/dz4Adnaf1UgYnPBHAU3VOuGiwDXUC29/ZWJFmV9RLpLhMvHr7E6eQtXr54gfaf9PHI742Wv4FeMoRcSijv2alJwInCMSgsuBjwzuL3euidXGT2bD+H1qbwBEIsoxfBeAmwiF6k/KxphScpLmVebzS7a22vdMhttT+bzUZvby+9vb2Z4hS/38/Y2BipVIrW1taMD1Y1xSm7sStkt6DehFx+Qb8xJmuGCkqpfciyzMjICFarteL4bKBa1ax8GMTgysoKV65cAShIyBXbV7nzxnxFo3A4zNraWo4ncnt7O263e9ffX8v3v4TLY0U+LiDFRMSXkmiDFhy/B6KY5wUuWMorvNE0Xkpc5YR0ty5q1teV1wMgonHQOlZ0OZUuENwF32t24WE9UOncZccTjvuEXGVoZHdTsQAmyzK3bt1CkqSyJCrL3W4tMKRQykG5bdyNkqysFKlUips3b9LW1pbRgK5n916xa2ir7Rdbz/f004z8u3/H0tjYpljg8ICrDVQZolFYSIJ/3YjN6wabFRx2vRtOFKGzTfdxiychEgW5issmuhAlik4A9g0BlhYWJiJoWV/t9BgMHIOZMV3ycug0zN7V/eS6D8BclqRlJCyhkUa9MY3qhb5HYX69U63jNJjsJtbCUbzPvUzaOD8iuK86kcMK0ZEYUfT8aacEVgGCJhvBZJLgCz4O8g+bz7UJhq7AwkhpMs5A3K/x5R/+aZ78g9+EOsiaboW93CG3FfJNwmOxGH6/v6BJeLmJ1H0fna3RjA5xWZZzJtaapjE9Pc38/DwXL17cMeSnEau2uicMP4GOjo6SfgI7pRhF0zTGx8cJBoNcuXKFSax8crm+huTVDuI8glG1YXS1iXwjVZuHnKDpnQ4pobWiY5lWNhNy3WIQBQkVL1JOO8PW/kqpKoYWcSwEhKu02Udw4K/Ygy4fIykJh6AR08q7z6cVkT+OmPnXrhraMHYBmtmRAKVjbanilHA4jM1mq7g4ZT/2bY3tUkcp1yu10u3WAlEUSSttpN1fwRR5L1L6/+IQErwoX+Ky6aW67msnQDMV6BhQVARVQRM33zfXf+4R3vKtZxDnCzzUa2koVgEvkC1AkiqyLICVqrvy7lzRq+hFVd/A19/yRtoW/Rz467nyNpDVFCcL5Y0flKsCpiJFIXFsnLXc4capS1x99iWeb7nEobUpOgI+7nNkfZcp9A8sMCP4iMcLJx4bgb1KyDV7nlnKOiC7OMWQ0QsGg/j9fqamphAEIVOcUi4RUK0ySjqdboh1wl5CPWNPPB5neHiYrq6uTQX9kiSRTDa2EKRY/i8cDjMyMlKRYlkl268EhpWR1WrlypUriKJIKpUqOA+s5z0tCAJutxu3282hQ4cynsiLi4vcu3cvZ0y6GyXOW2eGibQ7ER6X0cYF1DYTwhslnGc3+/2kKS/WpTUzPrWdU+bbWy9cBm6k9Xlwl6joMttFEIr28dLIjUwhQ7bKxl7vkNM0ram+slVjF3GiezoCFroZjAf+gQMH6O/vL7DW1tguycpK27gb0SVQ6fZCoRAjIyMcP3484+lR7bZKHVc9HgyLn/0sox/6EGuzsznbbusTMFtVIgGI+CAWBEsLBCzgX88TDvbqUpT+kN4dl0pDhxfml0HOmjTabeC0g9bVjr/bCgKIMYXWpSWifoiHix+fpsL8NEAEuwM6hxxEgjF8C4AG8w90n7iFBzB9Gzyd0HMQIgHoO6qTc4oCCcFM+I0HcS8HaLUsIgCH3wHRRVh6BUSzjHQgiahpiDYR11UHiakUoReiOE7Z8bzehRJUiI0mWJTXv0O5eJK0+6yVVCjJ1HOVfR8xn8Yz//I/0vc3A7Sd/a7KVq4Q2xE8d2KwFgQBp9OJ0+ncZBJuVGsZZsSlTML3k5Lbj/w4ValXajNRToe44fdTjp9AIwi5SmN+Op1meHgYl8vF5cuXEQSBDy1KVXVvFYOAxkOtmmGchnOdkBM0vVMuxUGCWnnSbca+N0OfvCQq7JB7qG6efHeuH19K6MCubRByAjIapoxfXSEkqxwOjKiP8wbxHxAZ5DWmh3xHPlTdhoAIAq8xy3wnVf7381shCz/uTNOyM2o1GoJmF6NU4meaX5wSj8fx+XwVFafU0iG3UwokdjskSSKd1XVVqVdqqe02bO4nOJBbPokW/yVMid/hpHSHqObAKWxhTL3LYJY2FxwIgDcexOds2/Re2mlh7MNHOP3+Aq1wk8AxMt1jFSP/MihV61F+aMyBJsLfvuYd+h9Zl85nfvSf8L6lT+B9tgxJrqyGQrmMtI1mB3GgeBCU18cMoaEWeBaiaX3M3e1fzlnOTJo0FhBjjPuWMIcTJJPJjJxaPbwUCx7/vmRl3fZXbizKL05Jp9MFiQCv14vD4Sj4/dQy79uN5MJWqOc1XK/Ys7y8zP379zl9+jRe72af5+3qkJufn2dycpJz587hcrlq2r6RX6x2jmt4kw8NDVWdJzaOo9bcZLYncqExqSG5Xm1XazOfteG4n+7JBVZPezF1p0j+DSgnLXT+YmFTVUuZ89GVdDdh1c1rrc/UfIyKJvFyWn8G9kulx14O9yUuXbpEIBDA7/fnqGxIkrQjc3ylUM3ze0d/xv0OuZ2L2dlZZmZmKpaozEcjAtZWD26jjdtms5Xdxl1P0gsqrzqZn59namqqYCdGPTsjq30gGOdn8r//d+589KOEfD4AzIDZJGFusxDxxVmbyz1Oixv8EgR8YLVBR5+dmYmNGVOLA2YWIBoDuxX6u3WyLpmCeEL/wb8G616hKrC6vq7JAi1eMHtbmO/oQJNE2kMJHEvzxGIQCenEXDwG02N6sOjo1zv3lqZ0D7muA7A8BaIEiTjMZU1WLXawn3VjiqUglsbcBrFlmHseBh7Xl+l91EHslp+51z/KifB9EFNYukzIfpnYaK7UTClYux109seYfan6aqvYmsZfvftH+IEvfhrvqX9U9Xa2QrOr9puJWsjGfJNwWZYJBAJbmoRXkgTNhqGfvo/akU1yGV6phw4dore3t+Zt13sQX4rwMpKpS0tLZfsJbLdkpVH4c/jw4Ywk6PWEwP+N1pcEPUSKCcr3lDFwTLyHSdATo6Kme8yscrLCrRSSrNQzmjFt80S/FMbkzYRch6gThXGtE7sRLDOwAxvVK1oeyVluV1o+vpJ+LW+w/iaq2Mf3WJ+viZADCKiVHceqKvKxsIX/6N57UnUGdnJSMhuCIOBwOHA4HJuKU+bm5lBVtWBxSjGZ4K2w7yFXP0iSRCKhP4sMr1SbzVa2V2qp7TbUrkAQURy/jiYewhH7tzyTfpzXmmtPMu0kmAUFRMj3AWhLBAoScgAPnzzA0LvnaflCgQRZqa62rZD/VRbOC+qokpALHWthsVUfA2hq7rX3p//PD/Gv1v4XtrtbfAg/qHYJMa6galtfv8prBExC8fGKsD7Ucvbo51MN63Gq35B7WYedGGksiILGvdNu3jbbTltbG2traxnpNkNOrV7+09B8Qu7VIllZCcxmM11dXXR1deUQARMTE8TjcVwuV6aDzihO2S/EbBwkSSKVqv5hZ0j9RyKRHInKQvtppoecqqoZydRr167VpVOylvziysoK9+7d4+zZs3g8npq2W28FuEJjUkNyfWpqClEUM/kYl8u148iSO7c+zutUFeWAqA8BxjTs75ORinDxFjWijxW2wFjqFHPKAAdND2s+xtvq2wmtx9g+KVhyWVU4tskPMJVK4fP5WFhYIBKJEI/HM8/Jai1gmoVK8nbVPuubin1CrjI0UrLSgCzL3L6tt7JevXq15gd+IwJWqZvUSO5Vmkzdrg45VVW5e/cuyWSy6PmuNyFX7LiKDbbVdJrV3/5tbn32syTicazo86208SMrsLyZfLK6YU2EoB+6eyEWhbmJ3OXml/ROuHhCl6qcmgOrBQ70w/LaOiFXBHIKAkvAUgQzum9CmI3UoyCA02PG6UhjdtoxWeNoqr6eywtOt94J19YLZgsoWcWoQ6dgZRaCryxitZogkmRmPX619OmSmIf/EaRlE/5TR2m7dY/Iqr/4wRaBajYxdelxDg0/x+zS1stvheiqxl/94x/iB774GVpPvK32DRZAs6VEmol6TgJNJhMdHR10dHQAxU3CZVnen5htgUZfbyaTiXQ6zfT0NHNzc1y4cKEuHRj10ufPRrFYZXT1WSyWivwEtlOycnFxkYmJiU2FP7+4Vv/hVgcKE1Wsd0V6AQCVVkQCAExq5ctVFoee0YxQGSF3qwAh17ZOyEVoJz9Nq2HJoeDyRxLRKocWfx5/kv/PKgIST5pfAN5T3YbWcUeWOGJSeSCX//z9WNjC+xzJpiYkm4ndlJTMRrnFKbFYDLu98ux9NBrNUZHYy2iWZGW9vVKr6ZQuZ5vpPA811fZ+0uIQ50PvI6y14BIKeKjtYmgmEPJyy+5k6c/4/C9c5E3PPouwmvfGFHACNtVslIP85rQIxYm3yuteALj+2JXM72oeISebLfzpL7yH933wLzAtlhhfqBA90oZrdAVti2ITtR2k9tLPdLOcBgmOeCZY7OnEvpYAC3RHVyCtgVnfh5swofVu92FHhHeI7ZlnIGx0URkSv/n+09Vir5Jk2xH76kVwFCtOGR0dzRSnWK3WqgsxXy3zvmpRS94xkUhw8+ZNOjs7uXTpUsl7qxkdckbOzpDO7O7u5tSpU3W756v5DJqmMTExgc/nK0pYNiNfXQmMbiyj09Egg2ZnZwmHwzidTtra2mhvb8dqrTKA1RHupb8n0OuBawpqSkA4rOF5S/HiQ5HyGgBeTFxmVe1kUJrdeuEtcF1+d+b3fnGl5LKqsNlOx2Kx0NPTgyAIxONxOjs7C1rAtLW1NazDvFpUUrwYjUZ3vqLHPiG3s6AoCtevX2doaIiBgYG6bLMZFSQGjDbuarr6tiMpme3xc/LkyZIeP/mT0GpRSRCXw2Fu/fzPM/v5z6PG46joybytXWnA6tE72cJBOHAYph9CodisqNDVrhNxBpIp/W+zCQYOO5mNqbBYfreZAU2DaDBNNAgUCFar6F1wgyd1ki4Vh85B/b3pO/r/8vleTMO5gUtNgckOSgJm/j5EL2UYvRVA6xUrviUPh55/uqr1iyGyrPKZ7/oBvv+Ln8V7/C113TbsLE+3eqORn62YSXgikeDGjRsVm4THYrE9KV2yHRAEgfHxcRwOR10lKo34V89rqlDnQSQSYXh4uCo/ge3wT9U0jXv37hGNRrl69WrOYPtLUZFnEvW/B31VCqSfk0YB0IQe0AIAjMiVEXL5kpUaVoR1ycqg1lrRthY0NypOxKwWhdZ1ycoghUiK0l2SkQo70wzMaR6iwhns2hrHxRtVbSMfnlQMxPLHbiFN4LfDFr5vD3YIwM6WrKwE+cUpyWQyUxnr9/tZXl7OTLzL6erdq7Jd2wFRFPH7/fh8vpokKvPRLLsCWZYZvd2Dx/ExFjx/whvNX63rPrcbSbMFW163hyNZWh4q4bFz/5cOcvwDk5vfrFbVcwnIzrsq6IRcoamZhYo95FQHPHXxzRubVzbH67DLw1/90nfznl/8a4QSlgWxDjcuVgrOOXP2+aiAaYsDdaRiYIdOycd3jl+hbTaA/4wHbzyILZAg0amTaa0EmGEAAYE1SxjIlQrP76KKxWL4fD7u3btHMpnMdBBne+uUg/0OufqgUV0MxYpTFhYWCAQCvPzyywWVU4phVyR3q8BOkKw0Or6KSVTWaz+VQBRFQqEQU1NTZR9XJaiUODMUyOx2O5cvXy7pu7idHXJbwSCDenp60DSNaDTK2toat2/fRpblnOdxs7ub5hNrdE/NkvKaMR9Moq5KuL+/eBGOpoGpTJPYl+J60Uu3WIb88xZ4Xn4s83u/OF9iycKEXOa9dXJrKwsYIz9WygKmWagkXuwaif0d3sSXjT1NyM3NzRGPx3nsscdwu+tnSNyMCpJ6tHE3W7bLqEY9ceJEJklR7bbqeVwASirG8Hvfx/xTXyWeSlHpcMPmhWVF7yLr6IapLdoSVnwgiTo5l420DLMTUbCIiK/tRZ0Kw3R9q18VGZYmIeKHQ+f0jrmpLK/TpNeZufGtHug6p3fSzX4bXFVy1i0uK3arlZUXQogsb71CFYgsqXz2u/4p3/+lz9F69E113fZuNGAtF81qLc82CV9aWuLSpUsVm4TXq6Lz1Y5wOMzi4iI9PT2cOlWPzqcNGBO2elZ35Xce1Oon0Ozu8FQqxfDwMK2trTzyyCM5zxJVg//XV//7r13UeKAWlp3ZCsekewBogjuTZHxWPl3RNjZ7yNkxPOQCauUT7DTdWLP6/QxCbk3t2CRbogmWksnRJAIWNFJV+PXdVx/novAnePEhoKKVo5lSAuOiHYumkhLK384fRa28TmpORetu7VirBM3Yn9Vqpbe3l1AoRHd3NyaTCZ/PlxnHb+X1sS/XXB+k02kmJiZIpVI8/vjjdR37NGLul1+MkluIcpGO9GmCoSfxCLUnm3YKNPPm+9GW3lqO7f7bjzDwlgUcX8+rqp8BTgJjFR5IBDhIbqdcMULOTMXymHMX+kibNp7jslp4bDvbN8BT/+HNvONXv4FQpE41bdLPmagUD3zKAZAcW8+rPclQphMwfsDOmZfGmH79EN6ZIC3+WIaQM6EgoqEhIIpx/v/s/Xd4JNl534t/TlUnhAYaOWMwOe9EzC65TKIYxCW50rUkmtbv+l6JPwXLlK4s+spKFiVR1pVkP6QlmQ6ibMu8lixSDBKjKC7FKHJ3J+wMMABmBoNBzqHRQOdQde4fjWp0A527ugHMzvd55hmgu/rUQVfVec8bvt93wa5xKMOYyf2ne3p60HUdj8eD2+1O9NYx2Bq5kjSPa5LscbW1RnGKwaTr7u7G7XYnlFMMpk5DQ0Na5uSBCe7uIQpNlOm6ztjYGJubm1klKnei3PFNKSWrq6t4vV6efvrpsjC3CmmvY9jbfBTIiknI7RWEENTW1lJbW8uhQ4fQNC2xHo+Pj2O1WmlsbCQcDleEqXXD+wI//GiN5Tc3oAKbMSf1DZ6Mx2tYsIvcVAlNV3Dr8Xhzo+IqfZ7RI4mfu5XJjMdJHEiRyRqmX3vTFTKsr68nVDaMa9LQ0JBXIYPZKCRWeCBYzQeMIbfnlJBy3HCapnH37l3W1taoq6szveq03A9JMBjkxo0bVFdXc+HChaID1JVkyM3OzjIyMsKlS5dyJuPA/MqRXGP5J76M9vkvohaZjFuKgasx3pNtZTH3ZwJB6GzLckBER//OAsz5cfa301B6W6cEuk/Ek3HtR2DTHU/GdR0Hx9baaZn3oNXYkW84hpTxnnQLN8FaDe7Rws4lHIL6NzoJRCOsrJY/YOBd1Pn0u/4RG4++aeq4j3sPub3424wm4UePHuXq1aucP3+empoaFhYWuHnzJoODg8zOzuL3+5FSFr0efOUrX+HkyZMcO3aM3//93097zF/91V9x5swZhBDDQoj/VcrfZRbKYUeklMzMzDA0NERHR8cuDXwzUI4+OoZt0XWdkZERlpeXuXbtWtEB6kravs3NTW7cuEFvby/Hjh3bdV3/3KswHDH/+Tthk7t6p+WLLmFIcWw7Yl8Lny1ojF0MObHNAlorsIccQECkSsrVibhk5bJMx5DLHVxwZumhkw3fiL4OQRQpWnm77V5RYyRjE5WL9sLuxRCCj9f0lXzufPC4M+QqDaOHXG1tLb29vVy8eJGrV6/S2trK5uYmd+7c4datW4yPj+PxeBLrSjEO7hPbl4qNjQ1u3LhBc3MzdXV1phcilYshZ4y5sLDA4OAg58+fT7DCndYT3BI/b+o59xo2ZXdmyxrLrxr++m9cRKbb1hRb17hzrEzx4SLc8Bde+30pv8e0zIHPoTNnuP7PL5FJkbLKF7eHSrb771K8rUEuNIXc2z+3uanz+Vi3xIuW69dT/TjbVpGNAL7TmI+WTBxGAu7YsWNcvXqVs2fPYrfbmZ6e5vr16wwPD7OwsEA4vFuy7AlDzhyUix2e7XyqqiaKU86ePcu1a9fo6+sjFosxOjrK9evXefDgASsrKwmVpFeT7SsWhdieUCjEzZs3UVWVK1eu5J2MK/Q8hSIajXL79m10Xaerq6tsMor5ttdZXl5O2Nt82gEVE7fcLxKXRq+z48eP09/fz6lTpxJFY+Pj49y7d4+lpSXTlMt2omPjkwSr7IgL8euypGcLkIJfVqPsavK6G+5YU+K4uhKLloKynuHo9jrUrT7MeKwujsQZGpnez2Ott1gstLS0cOLEiZRrkmwj5+fnE/2Qy41CGXIHJiFX6L89wgHKHeYHn8/H3bt36e7upru7m1u3bhXdZH0vsLa2xv37902hcZvd7yBdUNJg8kWj0YJk0SrNkAsvXMcGdBIX3Vhhuy9bNlQ1wZoODU0wM1nYvPz5KFJqEu+NRRDQdQrCflidKew8yaiug4VH0NgOdgcsbhEO5h5CjQtaLjYxWe9CXffDt8doex3MbPWMbzwOgZ39GbLAea2ayHyMjW/l802ah815nU+983/jPV/+PHVHXm/KmJV2ACuJ/RIAtdlstLW10dbWltIk/NGjR/zMz/wMhw8fBmB1dTXvXjqapvH+97+fF154ge7ubvr7+3n++ec5c2ab7fPw4UN+7/d+j+9+97s0NDScFUK0luUP3GMYvVKFEFy7do25ubmyOFbl6qNjyJya0U+gUuxwg8l38eLFtBW+IR0+tF6evYdewjLSrBi9QePXMUoXC7IwFYHdV2c7IbdSREJuQ7andJ6r2dLvmtdbdslOSKw7ft89mxoF1oq4Tf8i/EY+YAOEi3fZrvOVSGGJynQI5ej7kw5fsbfzMOrnuLW89qLSxSj7xR6VC+mc2p29PozeS4uLi/zSL/0SMzMzVFVVsby8nPde5Int24ZRiGL0SjUkK82GqqqmB0cMe3rv3j1CodAuuWOAc3X/FxsbH6V+q0jhoEMVenxNT1qfFV1SFQ0StGbvPeZvqWXq/+6i7zfmUt+YBU4DhdZQ7DTPmXJmBS5ZkXYLd/oupLwW0y2oZA54fvsNr8O+VMXFT3xv13tNG8us1TdgybD3ip0TWPK0FXY9gkfU4ZKbnHQ+ZKq3m3A4Hhxv9KzziMOJY6sJEt6i043W+gpmCSbOuZWkSZa3X1tbY3h4GE3TEuoZLpfrsU2S7QVDrpIyaOlsXzJTp7e3F13X2djYwO128+lPf5r/+T//JydOnKCxsZFoNJoXW+fVaPvyTZStrq7y4MEDTp8+TWPjzu7LuVEuhtzm5mainyvEVVzKhVwxQSklY2NjbGxscPXq1bwTloWuSfut51wyHA4HnZ2dRKNR7HY7VVVVu6QUm5qaMqoZFYIR7ySt87P4W6uxngqga4I5urnKzYyfiWLNq7pkLHKCTdkFQLXIgy2RBbe0Hyaa5Ev2iKGMx+riRNaxilnrjWvS2dmZ0gLGiLHX19cX1AKmUBTKkDsQrOYDJFn5WHnF8/PzDA4Ocu7cOXp6ehBCVLTfWymQUhIOh3n06BFXr141RVO53EFJI4BaXV3NU089VdDGz8y55WP0YvPbmo0OK1z5Nypv+zuV7quZP1PVBKEa0GThyTgAtwfa88srgIS5+/FkXMdxsJ4pbu/Y3AUWG8SisLGW+l5NHfjWYiBB2QgiX3MkkYyDOFMuH9gPWXFercZ7PUB4tkjvrERszmt86l3P45180ZTxKukoVZqRUCnJSgP5bECTpU2eeuopvvWtb/FTP/VTeL1e3vOe9/D000/zr/7Vv+Ib3/hG1nGuX7/OsWPHOHLkCDabjfe+97187nOfSznmT//0T3n/+9+fWFOllOXRVN1DeL1erl+/TlNTE+fPn0dV1bLZvnKMGw6HefjwIcePH6evr6/k56PcDDmjEGVpaYlr165l3Jj+502V2Zj5z7oFyb1I8eO6hAcAsVWW4hanCh5D7GCgySTW2pJeeCBgVaYy5Gq2dMRmtd22UIid69nu76KqSIbcK7EeIvQiiPCMxZw+coNRhR61sPtRE4J/vSSJRMprYyst1/y4J+Ty+fuM3kunTp3iT//0T/nIRz5CKBTiT/7kT7hw4QI/8RM/wV/8xV8QCGRujnXQbZ9Z91wsFmNgYIDNzc3EWlxO22d2sDIajbK0tITD4eDixYtpA9L1lnpuiZ8z9bx7jjTxpIZgfknU4R8+Rfi1aQL3G6QzBdmxk6CVaatc4JI10r/bpkbykJh+4Uev8JnX/1Da98YPHcGahsEgVRAnC7N3bjVuox0iwszJLpSN+H3d5llJOa6e7STwps2c9gqGvH1fXx+XL1/m0qVLuFwuVldXuXnzJn6/P0U9o9x4HJN/e3G+fHxNozjl6NGj/OzP/iyf+9znaGtrY2RkhGvXrvHud7+bP/7jP2Z6ejrjGAfF9lWyh5yUkocPHzIxMcHVq1eLSsblc55iMDs7y/DwMBcuXKCtra3sspjZxo9Go7zyyitIKQtmDz6uEEIkZBSvXLnChQsXqKurY3FxMUXNKBjMh2WwG/ciL1D7MIDWpyCEQHgVRm3ZE1oxmZ+M5ouhNzAfixeQ2Fgqan4GXor9QMrv3cpAxmN1cSzrWKWuvYaNNFQ2Ll++THNzc4rKxsTEBBsbG6Y9S4XM+cAk5A4Q9twrNsNgaZrG0NBQWpmrg5CQM2jcAJcuXTKNxl3OoOT6+jq3bt3i2LFjRQVQK95DbmESAMdTgqMvWWj9FRXX96u89iUbb/2CSmdqISNVTaA3wvwsbHqKn1sx6/HCQ4iOLBO70EH0clfen2tsh4WJeOKtvgU8W7ZJtcKhs7AyC8HZDUQwgu8tZ1Fe3O7XI1RYzdF/QakWuN7oJLIQw3uz2C7q5mFjVuNT73wO79TLJY/1uFZk7sX5ikkA2mw2XvOa19DS0sI3vvEN/v7v/543velNDA1lrlCCeJ/Qnp6exO/d3d3MzaVWTo+OjjI6Osqzzz6LEOIlIcQP7BxnL2DW/TY7O8vdu3c5f/48XV3b60W5bJ+ZdkVKyfj4OOvr6xw+fLhoJ3InymH7DBsTiUS4desWVquVixcvZqxU82jw79bLkwg/Y5NsFsG6MuA0EnIyHnyb1otIyO1s4ia29y0LRfSQW9JTE3JVW4HAKX23BLbMQ9zBUcLjNcVrEXKGY8qt4gdJgaC3wIQcwFf0Wj57f5KbN2/y6NEj1tfXTQ9kVJohV+mClEqjGPt35swZbDYbH//4x7l9+zY/+7M/y9TUVNZk7EG2fWZhc3OT69ev09rayrlz5xLfu8ViORDscEMRxel0cvjw4azPxZm6n2OjQBbzfkYkjd10hfJnTdz47QvInfGgeeIsuULgzn1IoZAqfOE179j1elTPL8g49nM9fOv0bvUPn6sWW5pee1q/QC1wCfeJ7S9P71GpXfITEypd6/Mpx9Wxidyy9RYRYUgxt+c5bPcgO3HiBNeuXcPhcKCqKuPj49y4cYN79+6xvLxcNjm1SqHSxS97IVlZ6PlaWlo4dOgQP/ETP8Ht27f54z/+YxwOR9aE3KvR9mXz5wyJSiEEV69eLSmGaKbvZMRm3W43/f39iQB+uRNymWKCXq+XGzdu0NXVxYkTJ8r+LO5nhlw2WK1WWlpaOHXqFP39/Rw7Fk8+7ZScjeUhM61LnfaWr+Cc9iLOxI/3xWoJkr2VlLar6DI9vhn4x6zoFloUH0rRutVx3IhdTvzsEho1Yi3jsbpyPOtYZq/16VrAVFdXMz8/n7YFTDF4bHvIPZGsrAz8fj+Dg4N0dXUlWHHJKGdCzozAQjKNW9M0UxfvciXkpqenmZ+f5/Lly2kb9OaDcifkdF1ndHSUUChEU1MzcmmZll9WaP2gimJPvWYN71B53TtU1v5aY+g3NLxu2LTAUmb54LwxvwSuOvAUIW1sGVgAIHa6lZ6Il4VH2atT7DVQtSVZWbMVD23thUgIVqah9xRMeFxU35ggcjiVutd8ClaGM4/tfKaG8HQET4XlKXPBM6PxqXe9gx/90ldw9l4repzHXbZkvyfkIC43bPT7rK2t5bnnnjNlPrFYjIcPH/LNb34Tm832T4BvCyHOSyk9ppxgj6BpGiMjI0gpuXbt2q7E0H5nyEWjUe7evUtNTQ29vb2msjjNdoSMngQbGxsMDQ1x4sSJnLKq/86j4tbL4/DVK8X/bTV4seNH0+2oSrxoeEQ7k+NTu7ErIZe0nZzTCk/IzeqdKewE+5Zk5Xgahlw+OhS2IhlyAC/GnuW45RPUYqGKCME8etblwoOoggVJrAAKhxSCT3Zc4FMNXtbX11leXubhw4c4HA4aGxtpbGwsuUfy48yQ24tgSCn2z+l0oqoq165d49q14vczBh5X2yelZHZ2ltnZWZ566qldgYF8e8gUCrNsn5SSiYkJVlZWOH/+PJOTkzk/02Bp4Lv8c95M+n5JBw26VQVSA3rOkD/vz2901TP/8210/f6Oqng38UBMvo/+EvE+BsZUMt02BSwlGyfrWHHu3h9EZH6BcsUCL/3qJa7++jA1M9sZwxolgC0aTpHVjDksKN359d9LRihJYrqzbR6+LZh9XSc963NxWRg1bhMUJCoa+pZ9/zvrCufC5Q3EKYpCV1cXXV1d6LrO5uYmbrebmZl4PwdDTs3pdB4otnWlJST3g2RlPvD7/Rw6dAiAw4cP89M//dMlz+Vxs32ZbI9R1HHq1CmamprKdp5CEQgEGBwcpLOzc1dsdi8YcouLi4yPj6fdL5QLByEhl2t+hpqRoWiULDk7NTWV6BXa2NiI0+nc5Uu87BmkWc4TqK3Gej5u3+diXVTZssczZR4Fp7p0sBSLV+CctcznODo3bka6Ez93qrt7m6acO4dkZbkLHTO1gBkfHycQCFBXV5eQgc6XBVrI+h0IBA5OQu6A4ABNdTcWFhaYmJjg3Llz1NWlrxwsV1DSWGhLCWTMzs4yMzPDhQsXqKmpYXZ2tqwyW6VCSsn09DRVVVX09/eXtNErZ0IuHA4zMDBAc3MzLS0tjG884txvaVias9/uTf+byht/UGHzk1EG/hK8mxAwoRiwrra4hJwBy71lFoDGZqiuhdkpdjmHHUfA5oCpYeg9E+8Zd+gshHxQ2wALbpgaAQUPALaJFWLnu7DcjVeVVWUgpniO9tLpDOF9ad8oHe2CZyrGp975dp790/9B26k3FqV5/Tgz5CotWVlKQLJQA9/V1ZVw0iG+piazxCBePfn0009jtVqRUk4IIUaB44A5enR7AKNXak9PD11dXWnv3f2ckDMKUY4cOUJ7ezszMzOmztXsZ1lRFPx+PyMjI1y6dClnEmQ2Bv9xo3zP3FwJMpj9lhsIIQnHWqhWZgF4KVp4Qm6nEUpmrc0WwZCb0FObqtu3JCsfxNIl5HKvn6Vsbj8dfj3/hwWk0s677YP8VTiLtnWeWJUKV60aN6OF3Rd/H7LwUszO61paEkngQCCA2+1mbGyMUChEfX09jY2NRfUWqDRj7XG2tQaK+fsikUhB8kkH3fYV6wPEYjGGh4cTict0e41y3V9mSFYahSjV1dX09/cTiUTyHvN03c/j3fwoTmE+S6nSsCm7mV5VkcL6893538/Q+pVVrHeS9g6LwFkgS4FhCjTiCTkjr5cpt1XAZX/p6f60r0shUGUMTeReo5UayV/9+jv5P3/lz1E88eekzztJMFJFMrnAf81FvSig+fcWNH37uTnimOSB9TjrjS763DPYPBEiTdvJQzthglsW9Z5lDcKHd41XLiiKgsvlwuVyAdv9N+fn59nc3KS6ujoREC62QLhSeJyLX4zzFZuQK8T3Oyi2z8xrvXMsow+ax+MpmRWX7TzFYGVlhdHRUc6ePZt4bpNRSYaclJLR0VH8fn/a/qxPUNg139kPORKJJHrPeb1eampqaGpqorGxEbvdzhwv0PJQJ3zUis0Svx4Poqew2bMnvBSR+/7wxK5Rt7W8nbSWlpBb0Y8yrm0/Q11q9qCtLnIz5Cq19qZLmnq9XtxuN0NDQ+i6jsvloqGhAZfLlXGNLiR25/P50j7b+woHLCG356VFxSz+mqYxPDyc6N+SKRkH+zMoWSkat5njhUIh5ubmcDgcKdIw+2FuycZ3c3OTmzdvcuTIEQ4dOoTT6cTWvoqlOb/7zO7R6P5+eOd/hX85BD/2h3D+dWAtoUB+fhkcJuyV3KswOwn1jSq9R0AYT6+Iy1RODYPFCroGfWfB64alKZh9AFo6J7N2e1K+HUWmkdoa5t7wNM7pBQJ39m8yzoBnSuN7P/0TzA5/g5s3b3L37l3m5uby1rx+wpDb+/MVQ4Hv7+9P6OZHIhE+8YlP8Pzzz6cc80M/9EN885vfBEAI0QycAMZ3DVZhFOv4zM3NJXqldnd3Zxxnv/bRmZubS/QTaG+PyxSW20ErBbqu8+jRI0KhEP39/Xkxkn7HbSFUgqRkNnSpkvFY8c/zJTUujx2Jbj9rL0TPFjxONobcpFa49OhDLTUhZ5Fxh8iPHZ2de7zcf38pK94XI+fRcAF2nrNdL2GkVBT7NP7WRuoGIrn/5tWrV2ltbU30FnjllVeYmJhgc3Mzr4THXiStHveEXLEoZK4H2fYVC6NXanNzsyl+SKEoVbLSkMzq7Ozk1KlTKIpSkD1ttDZxk39W9Pn3ExQhdxGdbYXaNUXh1r85zy7i2SqF9ZJLzuNkUonN87LrNYKvPvV9ad9T1Rg2LX/ZxdUWF1/41behOeK2tTWwgrd2W2pypr4LZ2tmWa1sENr2PacIWO1rxqfHx67xpLYkqGH7d5/YSEhY7gWM/punT5/m2rVrHDlyJKGIc+PGDUZHR1ldXd2XrUoqLQ+9F5KVxSbkCulH9Gq0fckIh8PcvHkTwNRkXKkw+thNTU3R39+fMWBfiYScruuJ9gKqqnLp0qWKJ+MOAkOuVNhsNtrb2zlz5gzXrl2jr6+PSCTCyMgI373xIn3tX6f6YQjl5JbdCyi8aHmGKpE5NiclOMhdnDMevZQw80ctCyX9HS9r70n5vUvJIldJO4js8uF76XsoipLoCXj58mUuXryIy+XC7XbzyiuvcPv2baampnb5iIUUVPj9/pT2YPsVUi38317hAOUO4zBo0B0dHfT29uZ07MudkCt0gc9G4za7YbhZRs/tdnPv3j1aW1vTUpKLQTkYcgZj8uLFi9TU1CSuu936Yn7jaBJbVE84cooNjr8n/i+yAfc/AXf/BsbvQiFfaywGXW0wNZf72HywsaaxsQa1DVYaO6KoFvBtQO/puNSJkOBZgfUc/U3VV6axu0C1gHt0+3X9mRPEJtx0fbv03myVxPpkjJs/95P8yBf/HuE6gtvtZnR0lHA4jMvlorGxEZfLlZZB8DhX7R8URl4gECi4SazFYuGjH/0ob3/729E0jfe9732cPXuWD37wg1y9epXnn3+et7/97Xz1q1/lzJkzAN8AfklKWVwUYw+haRr37t1D07S0EpU7Uc4ecsWMmzz//v7+lPnv14ScwbZ2uVzEYrG82Ef3IoI/95bveTts1ZnTit81nlHvAaDLeJVJKObikZZdfjMddifk4uunTi1hCnd8R2KpCTmVbXnkqGjGLpMrFlO/X1lQ9DU3JApLPEMbc1y13DRt3DtRhXZFZ1Ev7P64HlH5clDluardz10+FauNjY00NTWlDdw8zj3dKs0OLxbF7IVfTbYPthVFKik5tROl2NS5uTmmpqZ2zb9Qe3rC+Qv4vf+JGrH3fZxLhoWURJclFkDRY+hK/qGJtSNNLP90E23/Iem2XgLOAdlbEG8j+fHLFAfMM482c6mLmCV9BaeqaqiaVlDkZfTYCb728za+/8NfxqJruJub2BI6YfpyLz2iOMfSHo2kSF9ae6OEAnH7UL/uZZ1tlns9HlaJ7xFUEeUldZPXaPVFnddMCCGoqamhpqaGnp4eNE1LyKlNTExgsVgS7Lna2to9t3OV9sX2IgFYrO9XyJp+kGyf2UkZQ6Ly5MmTNDfv7q+8V4hEIgwODlJfX8+VK1eyPmuVkKz0+/2Mjo5y/PhxWlvTqWyUH6+GhFwyhBDU1tZSW1vLoUOH+LuVb+Cy+bF4NBwX4wm4cNjBfXmG14vvZBwngp3aPFQAbgYv4d8qfO1VS0zIxVKLaLrUxYzH5uofB/urGNDo0WqsF+FwOK2PGI1G857zQeghJwVoByjLdYCmuq0BfPbsWerr89sMljMoWahByYfGbeZcSzV6hkTl4uIiV65cYWVlpSysNjMwMzNDLBZLG6i2We7nNYbdr5FpD2Grh6d+Jv7PPwfDfw53vwSzY/nNb3UdhEVBxkz4/gS0toPDZSe4GcW9GJelFApYt+Zvs0NDe1zG0l4V7yO3vGRF8217lSIco/UqSB0Cq9BwDCwOWHlpNEe71f0L96Mon3n39/OjX/omPT3n6enpQdd1PB5PwkkzmqM2NTUlnLRKSonsRYKsECksM85XrGRloQk5gOeee25Xv7kPfehDiZ+FEHzkIx/hIx/5CMD5gk9QRuS7DhoSld3d3VlZcckoZzFKNJp/lTdkL0QxxtxvFc0ej4fh4WFOnTpFTU0Nw8P5aWD9xpqKZnKCKBmBEs1mrxKX9lCV+Bz9lnNFjZMpIRdnlhWOB1orEgtiSzNM4ENFQ0MlRBP2lOLmHXKZZfi6X9Ge5Z38Hofy6FeXLySCoxaNxUjh6/+HNuz8gCOAkuNvNSpW29vbkVLi9/sTRVXRaDSlOMUoAtsvjqPZOGh/W6F7kINu+/JBLBZjZGQEYFchRy6YnWwuxqfSdT3x7KXzTwods9nWwvf4ab6PPyxoHvsRmlVBDW//7QJJfTjKelVhoYlbP3Wet73wbSz3k77HJeJ1G/l8tb4MPxtQyZsh99XXpGfHAaiKhihimzP4TB8T/+TH+Wd/8d/QaixoHsH9jlO8pim/YlOANXsjo41HmW7sYbGhlWlnF3UPvRwNTABwpGWCkdF4P55GzzqT9CY+68SPRCK2bPzXrcv7IiG3E4Zv19gYZ+gbgcfp6emEJL4hp1ZJn8jA48xGh+IZecW0KzjItq8YSCkJh8M8evSIK1eu4HA4cn+oQjB8pXx6a0P5E3I+nw+v18uVK1eKiik8gTkIOF5AWYoRbrJR44hf7yXZii/qpFbxZvzcpqyjWazkHP+rgcssaPH1rTNLAi0f3Iim+sFdynTGY3PJVcL+9j3sdjsdHR10dHSk+Ih+v59XXnkl0QLB5XJlJB0dlB5yTxJyBSCfzYKu69y/f59wOFywBrCqqsRihTc8zmfcfAOIhtbzxsYG/f39GTeC+0my0pAFVRSF/v5+FEUxtVG6oiimJORisRgrKyu4XC4uXbqU9n6qseTOmikxiTWU399W0wXXfjn+z33fxtDHItz9GqxmkfH3B8BxtZXQzeKMhqOpitb6IJoGq8uC5QUJC9ue48ZK/N9OKCo4G6G6DqznOvG46kARCG+QqskVvAsenJ3Q/SzMvQRyf8XEi8LaWJRPv+v7+NEvf4eqttMpTWchvZMWiUQqpof8hCGXHsU4Za8GzM/PMzk5mbVXajqUMyEXDmfXf09GrkIU2H8MuZmZGebm5rh8+TJVVVV59/n5XlDwxUD5GDnVQjIcLu1ZblXWAVC3JENmOV3UOGJXpDNueyPCVdR4EoUYrViZ3xpN0iG8zEoXftlMavgv976x1Dv/C5HX8a6qAA4RpEEEWJfmlKmMxxQUJHqBSduRqMpfBSy8tyb//WxyxWpvby+apiWKU8bHx7FYLFRVVaHr+mPJlNsLRkIxqHRvoYMCn8/H4OAgvb29dHd3F/RZw8cw83st1KYGg0EGBgayKroUM79jzl8k4P0TqrPIPh0EaBYVdYcdaQhusF5gLzBpUbnzb85w5b1DCGN5XCF/ltwS29EQP+yqSMxzOuFOK3d7M8f+FVVHjxa3Hnn/UTV/ufSjnBwcw2+pJXrRmrE4I1ajsNHQzJea3sxKQzOexjqi1alxh6VwO390/mf4zVf+LU1RN622NQZtChvU0ba+25m0oKFtfUkPVXdRf0OlsTPwmK6vTiwWq5id2M9BWjNQqR5yrzaEw2Hu3r0LwOXLlwvuE1wuSCmZmZlhfn4+r97aBsrl7xnStX6/nyNHjux5Mu4gMOTKNb+VsIej7S+i/oNEnNn2WSZjh7EqsawMuE2ctORIyElZw/XgKTwyvp62KKUx5G5GU1mUPUrmuPFBT8glI9lHXFpa4sqVKwmW+fR0PClpKLDU19cn/qZCZYb3AlJATC3mGuxNLGp/rOpZYFTWt7e3c/r06YKdF4vFUlDwMF/kKy9ZCI17v0hWGk5kV1cXPT09KeMVyozIBDOSe36/n4GBAWpra+nq6kr73Ub0KPXKTJpPp8LuixXFaWg8FeENH4E3AAvfhLt/DkPfBm8aWxP2538fSptK7GwbOO0o85uExtaYTogt5G9AdQ38G1ssOHsUVfqRNgsoClpfM1UhD+FNEALaLsRZdvct5wgodqQiQCgo6JwUDxIxUGHMwJiGlPGfJUxvHKOv9j6RmIvRcCdC01Ckzml9HFXzo8fic9Ji8eSfroEW2fo/Cro5txerDyN8+l2v50e+9A9UtZ5KeW+nk+bz+Xjw4AGTk5NMTk7S0NCQqA4ph0HdiwTZQUjIHYiKmwpC0zTu37+fsbI+F/ZaslJKyaNHj/B4PFkLUYwx90NCTtd1RkZG0HWd/v7+xH2c7/x+zV3eLdVpm+RWiQm5JhFPyFnUDQDuacUl5HbbofjvIdmw+9A8ERTtWOV2c+4OdYPZmIsNmunMeu7diJZIm/vL0DP8lyo7iCZ+2H6L/xp6fUnjGVjQFS5aNe5EC18j/58NOz9cHUsw4QuFqqo0NTXR1NQExHsDT09P4/F4uH79Ok6nk6amJhoaGvaEQWA2Ki1ZWUm55scdhsTj+fPni+pVYRRjmnkfF2KnjEKUM2fOJORkzUKrrY3v8ZN8H//B1HErDauye8NfF1oF2gsea+lMG+7/Y5am/+7ZfnGReJQjVw3DJtBDPBmnE0/IJSuC5pmQG+7PYUsVSSxafB+j6Z9pp+b3A2w663lT7TeJYiHkrCHYpLLY2Mp4Yx/3G07isee+33SpMG3p5SNP/XN+4/a/w6GHEXbJbF0nHZ7dhaMOQviJ789DYpMIOraSOrVWFkII6urqqKuro6+vj1gshsfjYWFhgZs3b2K32xOFm9XV1WUpkDgoQdpiUYr9Owj9iIpBqUkZQ93gxIkTTExMVCzBk6uYxWCuG0X7hVz3cvh7kUiEgYEBGhsb6ezsrOhzdtCLqcox/xe93+Ros4ZlJkbt83E2nB4W3BEXQUCt4s/42TC52Z9e7RwdFvBsbSFcIkePniwY01/Pmp56/3Yp9zIe/zgl5HZiZwuEaDTK+vo6y8vLPHz4kKWlJe7evcvm5mbBPstXvvIVfuEXfgFN0/jJn/xJfuVXfmXXMUKI9wC/RdzJH5BS/lixf4sUAq2o4oVMjYTLi32dkFtaWmJsbCxrZX0u7GVQcmNjg6Ghobw1jPeDZKWhT53uOzeL1Qalb1JWV1d58OAB586dY2lpKeNY07Fxjovs3pga0bFGSv+7Ot4U//fWGEz+DQz+Fdy7AUY+WN5bRzzVhBxML2Ne3xr/t0kz6+MbWG/Ppz0OAAHVTpWqWg1bFVisoCjxFUyPQTQMoQAEvXG5ys01UNbmdxV+pqspqWeInWIkG/l8AUA9d4iHexfpYtupW8/yGaGAagVrFVjqQbHbeeQ4SsxeRbSqmlq7zmtqv4vVAaoNLPb48aot3jNPtW79bwGhbv0ToKgR3Lf+KR0/cCNjJakQAqfTSU1NDd3d3VRVVeHxeFhdXWVsbKwsTlqlmQjFVi0Wi1JkS15tQclM66Df72dwcDBRFFHM/VKuJFc+NrWQQhRjzHLMtZBnLRQKMTAwQHt7+y42Qz726vN+hZdC5d2AO0xYNurFOhIVmyVO6b4RPVPUOD6vF1JiKPHvJ1CkZCWAT7aRzAFtVzzAIdZl6w5SXB7FUEXPIg4vDjziMk503ma7blpCDsAqittvTGoKf+az8tNOcypXHA4HDQ0NWK1W+vr68Hq9rK2tMTc3h67rieKU5MrIg4SDxA5/Ndq+dNA0LVEUUUwhioFy+H752BKjEGV9fZ2rV6+m7dtoBo46P0DQ+6dUiUxNz/Y/hGBXwqwmXHxvvBs/f4G3fv3bqJNb6+sqcbG6u3l8uJF4Qg7iCbjkaeShDhdS7XzhmXdkPUaoknDITrEV2IoC937xCOE71Xzj0GsJtVgRRVZn6FJh1dvKassyf3TmZ/mloT+isXodT3Udx+cfIXWJSHKcavEmEnKq0PiGZZ23x5qKOvd+gMVioampCYfDQX9/P8FgMMEcDwaD1NXV0djYmLCPZuCgBmnzRbH27yCwLSoNKSXj4+Osra0lJCqnp6fRNM20+zETDN8x07U0/NOenp6CmevJ45sFI9ZqSGZOTU3tiwLPg8CQKxfU2q8CIFSB1Rk38FrAyi3lKiEcVJHZzmsy9xoyHb2IS9n+bmtF8ZKVL8V+aNdrveJOxuN1cSLnmI/LWm+1WmltbU3kMGZnZxkbG+PevXv8yI/8CNeuXeOtb30r73znO7MWnmmaxvvf/35eeOEFuru76e/v5/nnnzd6fAIghDgO/CrwrJRyXQhRcvNH7QD0EDewLxNyuq7z4MEDgsEg165dK8n4mJ3kMpDN2TNo3HNzc3tK4y4kgSalZHJykpWVlYxOpJmSlcUaKiklU1NTLC8vJ+a5vLyccaw1eY9ctQx2n8lOuwUO/0j83zv98PB/wfVvNDP54jqiyrJd219jQTnTSEc0iHfOy8YyBH2gNIbRjjcjq61IqwoC6n0RXEtzhI1EWwACmxqBzWwTAVUFWxWoVpXNGifSpiJtFqTNgmJT6bNOo9qSElw2+Nuqd6LZbGh2G7rNimaz8S7LdRSHG2ETKDaBYlcSP8f/j//+N1P/gh878SlsVX7et/Hh+DhWGz9b9Q/8X7ZfQNquYFduJc6nWuOymskIiw4cm6n9mv6g8RRV8kHB10IyxtfCGs84si/KRuB+Z/PTnU5aMoOg2HXpcZes1HW9qCCa3++ns7Mz94GPOYrplZoO5Ur65rJThRaiGGOWI3iab0JufX2dkZERTp8+nZC23Tm/bH+zJuGDa+Xf+I2FS3XuJNV40OlAFbMAfD16tqiR6pypbFafbwNXNWzEiq90dtORwoRrVeIGbllvJrWVW+59SMgEP3hYf5bXKp/hknqz9MGScDui0qTorOmFr8v/btPG/14TpdqkJV1KmZAkNxgEhw8fJhaLpVRGOhyOlOKUYlDpIMlBsbVPJLviKKZXaibsRV/SSCTC3bt3cTqdXL16tayFV222Dl6U7+NN4j+V7RwVwY6EnCNavKKNZrcw9KGTPPXj9xHGUjO3+xwZ52Fgp/ubB8ny68fexFptjgSVIgmGq6lK26guPyhVcP/0KXpdUyV1qtWlytJyB2dbhhhv7eO/H/mn/Fjsk3w3+Aw2PYp9M0rEtf2HN+BhiY7E79+xrhzohBykrtdVVVV0dXXR1dWFrutsbm7idruZmYkr7Bi2r66urujnupL2aC8SAcUWmxbrMz6uMAoaDTti3DOVsmlGgWS6hNzS0hKPHj0quIVCMsws7p+bm2N6ejol1rpfEmH7ZR6Vxqh/hr72IfDoKK3bhneVJsZ8JwkrDpxkLirU81hDXto4ha5pGIbbQfEMueux16X8XiUkTcpE2mMlDqToTfteMh6XhNxOdHd384u/+It87Wtf47Of/SwTExN87WtfY2ZmJmtC7vr16xw7dowjR44A8N73vpfPfe5zKQk54KeA/yilXAeQUi6XMleJQDOxB3y5secWcKfxDgaDDA4O0trayqlTp0p2aCwWS0UTcsm9165du7anNO58x4vFYgwPD2O1WlOMfznnV4xB1nWd4eFhhBBZ55l6osGsb1tCOpZY+QympQZO/xSc/qlVNrxWvvWCwt3XXgCXPU4osCocm5/BFvYi5ZZkZO81VlvqwaYibSrYLFT7o7z55U+iqqBYFCyqDq2nsVXdQ91iiamW3f8MzHU+xwee/uGUudXqUT4Y+qmU16Ss5Rdrdjv4Pxn7T9RavpHz742+8lrsxx7R4vw6MzOvwaA1/LVo4jctv0AMG5YcjrFNLhD/craf/dv6O3mtKDwhJ9C4F57gGcexrMdlMp47nTSDQWA4aQ0NDTQ1NeF0OvM2vgelar+U8xVTFf5ql6wspVdqJZHJ9kkpmZ2dZXZ2tqBCFCgPm88YM9uzZhTPLCwsZG2Unmsf8nGvwv0ie8Pkiz4iTMrS5NdOKvexiAhRmlCZRaeeO7HCK1zjSLWbNTUOkLASLr7X2rLeTrIKVstWQm5Jb0lJyO3sXyfThCaDJUpWAnw18jqetX+Yjl2c8dIQQ3DKovHdSOH3zJKu8J99Nv5lnTmyGpn6l1ksFlpaWmhpaUFKmShOGRsbIxQKJRp/NzQ05B1MM5J/lcJBkax8NTLkdsLolVqsROVOVDohV0whSqk4VPcBwt7/il3sjcSOGdAtKUs+1hJ7vs9e7aLvPbPUf2Ir6eUmP5Zc8le4czmzkTOhd/2ZK7knpwh8kdqSEnIAq95mel1TJY2hS4X5qW7Yqse50XeZluAqjpV4X8Lq9WBKQs5BGIlEbNnaSeVg9JHLhkwJJEVRcLlcCZWgaDSK2+1mfn6e+/fvU11dTVNTE42NjRn3jOlQ6YRcpaX0ijnf456wKPQ7MYoDDbZXMipl04wCyWQfVNd1Hj58iM/nK9k/NSNRZfjLkUiE/v7+lD1oJVsg+P1+RkdHqa2tpampidra2gMvYVkq7oa+zilAPBRUX/AmXp+RPUwGjmCtiuCUmSUrVZH72n0zfI2NSBQUO1YZQ5Wr+bQWT4sb0VTGW6eSeT+liyPxQG0OHLSe3IU+j36/n/r6evr7++nv7895/NzcXEoLrO7ubl5++eWdh50AEEJ8l7jH/1tSyq8UNLEkSASxJwm5wmAszkYlrpma++WUrNy54JdK4zZ7rvkYpUAgwMDAAL29vXR1dWU91sxqj0LZdoacWEdHxy4Jt0zJPSEErfbbmQeVEru/NOevENQ7o7T/0w4e1D2b8voz3/Xi8M8lfp+4+hrCjamVRxFPmGObn9z6Lf69aW3VqHnGZxecu6+tnsZ6aaRPiKzTmuGdVFRZIqyEumipC9IhvCzI+N8xILuIiXaEzO3ECcIcVVZ5pG9vRv88/C5e6/hIHjPYjaj+gFXtOM1q5ns3H+OpKAr19fUJ1pKhrTw/P8/m5ibV1dWJKsqqLE3pD0rVfrEoRbbk1ZaQM+45o1dqR0dHUb1SK4l0dsooRBFCFFyIAuVNyGWCIY1mFHgUG7gP6vC7Ze4dB9AQCzFpKS0hd0W9Ff9BVIMErzhpwsziUEQMJISruorWi5zTO1Kis83Cs/V6y44jU6sr063sPr30Z+j/Db2e37aDQ4Ee4WFGukoe08CMVvya/EebNt5XG6HBhGU9H/sghKC6uprq6mq6u7vRdT3R+HtqagpFURK2z+l0Zly/nti+9Hg1S3Zpmsa9e/eIxWIlSVTuRKWCl6UUouwcp1C732nr5iX547xRfKyoc+4H6BYVhe3rpOg6jmiQkDXPxm1p8PK/vMRbvvUPKAtblmEWsLLTbKQiWVd/5yOcg2G3VNPB2qX6nPFAKQSb4TpaKF5eS5cK7vXmeM+7EqDpCgFvHX69mholLh/25ZNv4Y3276AJBafHh2dHIYqVKLEtuqAmvPjQqD1AAa+dyNc+WK1W2traaGtrQ0pJIBBItPeIRqPU19fT1NSEy+XKuv5X0h4dNIbGfvZ5KgEpJRMTE6ysrHD58uW0MYRKJuSSfadwOMzAwABNTU1cvnx5z6+VMZ+Wlpa0/rKZal7ZYPSJPXr0KOFwmOnpaXw+X0LuVtf1xz7hvBMSSUNjPIeix6C6KS6pLTW4zylclnXWZRM2kb6RjS4FLunJmlyT0soLoUs4rVbQ4JR1EZFHEi8dotLOQDTVznWqmQtm8pGrNLDXz0khKNR30TStHKxmC3AceBPQDXxbCHFeSukx+0T7EfsiIWdIVPr9fvr7+01twl0uA7ZzXLNo3GbONZdRMozJuXPn8pJGMzNoWkhyz6g8PXXqFE1N6SUyMo3VbBvNOK41qKNWUNFm3trGd5zP7Hpd0VJ7QKyluf/dVamPqhQWCikHmahr2/VauiuZKSG3QEte/l+VGmbG38kZ4Kx1kYXI9rOwxGU65d8jUXYxHHbigmWGR5HtIOx/Db6O/+BwoeLJYxapOK+O8Jf+H+Ln67JQ5ItwXpK1lQ0nze12Mzo6SjgcxuVy0djYiMvlSjFcr4agZLGyXa/GoOTi4mLCdpQiUZkJZldq7ez3VmohijGm2XY6m70KBoMMDAzQ2dlZdI8+Ax/dUJnTyr/xjlTVZg8o5oHzqkETiD+f87L4hJzYmQaT8cm5ZfHFVJN6R8rvjVsMualdCbnc94rPBD94Sm8kKE5ho4YfdVznI8G3lT7oFqY1hXNWjaFo4QFNjxT84aaN33aVzowpZn3Y2fg7EongdruZnZ3F6/VSU1OTYBAks6UPii0q5XxPilHygxDClF6pmVDO4KXxzBhFHVLKogpRDBQir7wT3c5/ScT3Z9iEOX0lKw2LqsVdma31WgCNwQ3mS0jIRWts3P/No5z5Z2PxF9aBp4BsgilLQD3pHaMcl/XbF96MUHNfO10RrAd3S2IXgohmx7Ne2hgAuq6CkKwFm6mpmY6/qCiMdJ9h1nWDxvV1Zkgt5KwmyOZWQk4Rkq9YV/mR6G7fshRUMoBdzDMnhKCmpoaamhp6e3vRNI2NjQ3W1tYYHx/HYrEkilN2smUqyZqoNDv8CYqHIXVcW1tLf39/xj1LJSUrjfMYjL2TJ08mWnnsJTweD8PDw1njgeWWitzZ4sc4Z0dHB1JKNjc3WVtbY2lpidXVVXw+X0JJab8lacz+nm5ujNDWHScYWGu39yS6X2XQ9hSNFjfrNGEV6StcgrKaejayniOon0ZgY3HL7z5jXSh6vgPaD+5SU+lS0ycLAXSRXW3roKIQe1GMHevq6kooi0G8F10aEtAs8LKUMgpMCCFGiSfobhR0siRo+yPNlRf2fKZSSl555RUaGxs5efKk6YtVORNy0WjUVBq3oihEo+Y5VZm+S6NZrNvtLigBaqbuc75jzc/PMzU1lbXyNJPxdcc81FWvpB9Yl9j9lcvGhYWNL7reji52L3ha2Jvy+4pt92O5aVOQQkXIrTkrhd1nw3W7Ny7pGHKxDAm5KdHCtTzOU6VGGPN183bguHWRr0W2q0mGuUyX+DK6chihp9dnNnBKnQMuJ36PYmWSt3KUT+Uxi1QcU+7zfq+Nn3NGybS8lOooJTtpPT09CSfN7XYzMTGR4qRVoilzMg6KbNerMSg5MTHB6upqyb1SM6GUQF8mJBeOGIUopfa7qyRDzqhsNoOJ79bgw57yP1sNiuRetPRreEyNy1wJ4rJUD7Qz2Q7Pil0JuS1a3Ipe/Hc6FmtP6dfjEvGE3HhshwSczL1PiiGoRhIoqdMOjMlnOStu8WaruQk5gBpR/H7qv/hs/KwzSnsW5nc+MENG0maz0d7eTnt7O1JK/H4/brebkZERYrFYojjFbrcfiH6mxaKUYpRXm+3b2NhgYGCgpCLGbCinOooh4TowMGBav7tik9Xd9kO86P0/eKP4b0Wff89hIaXYpC64yXxde0lDTrzhEL3vnqf2C3H2F1PEe8NlalEXBRqBVXYn5XJcloHXncprTrqisBYsLagd1Rx41kpXENKlAqrOynobvUZCDli1NLLS1EyrZ7fvXIuXzSTW3EuW8iTkKhW0NqNARFXVhG8HcfaO2+1OsGWcTmfK+wfpbysExcaGIpGIqUX4+w25rreR8MpH6rjSkpWTk5MsLS1llfOvJGZmZpibm8vIIDRQTslKKSWDg4OJFj9CCCKR7cI4IURCSUlRFGw2G4qiJIrVDGnLxsbGfXPfm7kmTekvcBrQA5K65u3Emkc2MB/qpl6JgA5qBsr5Og20i+wJtrnoRbqtOve3ihmPWYpnnL+kvXPXa11K5n50upI/Q+4goVDfpVA73d/fz8OHD5mYmKCrq4tPfOIT/K//9b92HvY3wD8B/kwI0UxcwnI875PsnOOTHnKFQQjBxYsXyxYwLqdTFolEuHXrFo2NjabQuHcyD8qBWCzG3bt3qaqq4sqVKwU9gGbSwHNVsEgpefDgAcFgcJc+dL5jTUdGOJtBPcYe0FAqyCT/av33sWFJH7C2q1pCDkXHwoY1zbMgBNJWjwhvST4q1rwJclKx8yBNsCddQi4q0geFRkV+TqRdjfDS6lEA+nYYyW/pV3mbAF20oJA9IXdMmd312pei7+T/shaekGsT9xiLKXw3rPI6R/q1wGznJZuTtr6+nthMNjU1lX1TtheMvGLW80AgYErvmIOE7u5u05kBybBYLMRiMdNZ57FYjAcPHuDz+bh69WrJ41ciISelZGpqylQH8w/WVTwmSCPmwkmr5KVw6c9wx1bfF7HFNL4VMy8hJ2Q80rmsF1+9fzfUAkk2u17EHbqHWmqgQuSpiVmrSAIlXp9vRZ/lvPWznDfkPk3EnYhKvZBsFNHvLigFf7Bh4983Zoow5wezk1ZCCGpra6mtrU0wCDweD263G7fbTTQaZXp6msbGRmpqasoaoDwokpWBQOBVxw53Op2mSlTuRDmLMRcXF5mYmDCN1W4EQIv9Lrqc/zdR38czVp3ve+xIyDkjmfvLFIKXf+0ib37xe4hVYIPcLLla4gm5nV9jliXqVvslNnvy65msCZXlYGn9BaOaHc9aQ7zneAlLpy4VhCJZXOiMi0NtQSoqy/UtnJgc2/WZBjzM0ZXoIzevmt9HrpIJuXKcy26309HRkWDLeL1e3G43Q0ND+P1+Hj16RGNjYyJgXy4cFNvn9/uLlvk9yDBYVsvLyzkTTAYqlZATQiT6omVj7FUKuq4zMjKCruv09/fnvM/KxZALhUIEAgF6enro7e0FthPR6dYSIQSqqtLW1pYoVvP5fKytrTE0NISu6zQ2NtLU1ERdXd2+Y88Viogepbv1awDEfBbqOralH2foZnTzNEe2kl1KBonJJdFKN7vjf8kYDF3ElRTA7bPMFz3n73jP73qtS5lJc2Qcujhe9Ln2M4qN2+ULi8XCRz/6Ud7+9rejaRrve9/7OHv2LB/84Af5nd/5neellJ8H/g54mxBihLgMzi9JKdeKPedBS8jtC4HpcrJFylUpEQwGmZ2d5fDhwxw9etSUhdRsycqd8Pv9XL9+nba2Nk6dOlWwkTVbsjLTWNFolFu3bmGxWLh48WJOJzWT8d2Qw+mP1yS2QGUavgIM2U5xvypzVYXQg4mfpa05o5cVtW4ny6SSv+Merj6CnuZap/sGwqQPCt0TDZBH0NChRhnY6ASgU02tMvlrbavpucj9vPemScj9YfCdyCKWrGr5EJUYf+bPfN5yO4GGk3b27Fk6OztpaWkhHA4zNDTEjRs3GBsbw+12l2WtOiiOmc/ne9UFJW02W1nvu3LYlGg0is/nw2KxcPnyZVOSfWayr5PHNJ4nTdMYHBxMyGKbkYybjsJ/2Tw4mz2AFsWNBBQZr0D8ZuRsCaPtvF5x6eWFEhhyo+JQ6gu+uPTJknQiSb5mO3vIpX+GSmGgGfhk6A0I3DSLudwHF4gwgrPW4p/P/9dvZTxW2vpRbvugqipNTU0cP36cM2fOJCScJycnuX79Ovfu3WNpaclUdQgDlZasLNap9fl8rzqGnKqqZWUvliN4aTDjZmdn6e/vN01iulTfqsd+mBfl/8+UuewJdtwGVZFQ+uMKRKi+ike/lmRTJoFspt9YSguocfjW1dfnfawmVBYDHbkPzIJozIEWteCNlsYq1XQVoUoWZzrRd/h2S42tdG/M79qTWYmhpNh9P8vFNozNgIPGkMsGIQR1dXX09fVx+fJlqqurqaurY3l5mZs3bzIwMMDs7CyBQMD0/e9BUUZ5Ndq+SCTC7du3CYfD9Pf355WMg8ok5LxeL0tLS9TX13PmzJk9T8aFQiFu3LiB0+nk/Pnzed1j5Yj7rq+vc+vWLaqqqlKk9oQQGdernbFJIQROpzOxHly4cIHa2lrm5+e5fv06Q0NDLCwsEA6XVmS3V/iu5zpOR1zVRDhTi2Efcpy50CE0Ef/bMq3wPmpzkg2+GbyCJemYLqV4htwddktQdvAo4/GPa0KukPU7Go0Wlbd57rnnGB0d5dGjR/z6r/86AB/60IfYSsYh4/iAlPKMlPK8lPITBZ9kBzTUgv/tFfacIVdumL2xM6rs5+fnaW1tNVVTuZw06+XlZcbGxkqShzGz6iTTWD6fj8HBQY4cOUJ7e36SJRnnJdIn5Ox+rUQRq/yhb9h54eSbMh8gJejbzmfUmjmYGRRVGHWYuoz/zfksHZ7avvRzS/NshDJIVoaFFUVvQherWc/lUMMENDtoLbRYUhNy92Q7UdGNQuaGqQbaxe6KlwmtGY94mgb5Ys7PJ0MQ5lnLBJ8PHGPNBU1pvrRKJq2klIkeO319fcRiMTweDysrK4yNjWG32xPsuurqalPWsEpWXpVSKflqY8iVG2Y7cIa8it1u5+jRo6aNWw4Y9jQQCDAwMFBSj7t0+G23hXARzKZCoSK5HzHnPA1iDUkrCsvEdAcvxvqKHmsXQ25LBnNOKz4h58eORiMq8cr7DqfEaBsajNZRbd1qEC5TA7aZdiUOE76278aOEKUTm1A4oU8zqvSWPmgSlktg8EUR/O6Gnf/WVHwAu9IBUKvVSmdnJ52dnYl+G0b/OSllwvbV1dWVbJPLXfW5E8WynPx+Px0dpQXqnyAVqqqaGtgKh8MMDg6iKApnzpwxlXVuhu/XUfuviPn/HIuoYGNsk6BbREqixx41L8nz4AeO0fXFRaq+HoZNsrPkDNckuOP1DJcmqDqYerYz77lEFQsroTYUqaVtX5APIlE7CPAEG6izbRY1BoCuxxlyWtTGhlZPg8WTeG+tqRFHLIzVFyPmTA28WYkQ2cpqCgFfti3z4xHz9lUHnSGXDUIIWlpaaGmJ98Q1+o6PjY0RCoWoq6tL2L9SixUOSq/yx12ueef9ZfRAO3bsGG1thcm9Gq1yyoX5+XkmJydpa2vD5XKV7Tz5wvA3T58+nVAbygdmM+RmZ2eZmZnh8uXLDA4Omja21WqltbWV1tbWhNT72toaIyMjaJpGQ0NDRdi0ZsFteQGD/13t2PZJZEBl2B5XY/HixIU7Y9ItQvaYupQKX/RdpDspI9euFtdDblPvYEzuXnvaYuk3CDrtIMyXV98PKCRu5/f7D0TxvEQQK1OCTQjxA8AfEe8w/F+llL+f5pj3AL9FPEQxIKX8sWxjPvYJOTMRi8UYGhrCZrNx+vRplpYy68wWg3Ik5KSUjI2N4fF4SpYWM5shtxMrKys8fPiQ8+fPFxSYz2R8m2x3d72mxCTWUIXYcTFYnnqW2KnMlQRWHUSStxexujIeK+qaYKvdnI5KMBCkPo/LuejM4CwJgZQCkcQiCGZIyAHEZBsK2RNydiXuSEdindSl0WFe4BLd+ndyzrmJ9GyE78ae411qYQk5gDfZhvl27DifCFh5v3P3hrbSQcnkc1ksFpqbmxPJ/WAwiNvtZnx8nGAwmHDSGhoaKtp7rlgUm5ALBoN5Vwo+QX6wWCymJOSklExPT7O4uMjly5e5ffu2CbMrLxRFYX19nfn5ec6ePWuqgzkUFvylrzIO0mmbZChizrmcuNFFD4pcZj1yqKRqsN095OIyYzMlSFYChEUb1TKekKsR2wFH3dYBchkAqQXJZ+p2k5b0WV5DDwu8W/wDHybrnrpgjMVUTlo0HsSKuxafDlj4RafCOVtx+5q9ZCQk99s4fPgw0WiU9fV1FhcXGR0dxeFwJPptFGMb9oIdbrfnJ1+XjIPi4B4kmFmMYgRRT5w4wcLCgulsFjPaFfQ6jvKi7728XvyFSbOqHBRFxvV6tr4CqxZD1TU0xZxgyssfvMgbb76M2CTekaSK3Uk3gGXigcKdipkZbqOvnfh+ZG3+64thb616lHCRhQLhiA0keHwN9NZPFTUGgK6rsOX7rfpaaXB5Eu8t1zWzaa+laj2Ed0dCrppgIiEHcMuydmATcpW2DztRXV1NdXU13d3d6LrO5uYma2trTE9PI4RIKU4p9DupNDv8iWRldiRL5l+6dKmov1lVVUIhc9jDydB1nfv37xMOh7l27RrT09Nlb58DmZ/1ZH+zmPYCZrXX0XWdBw8eJL4XVVULSvYVeqwh9X7o0CFisRjr6+ssLS3x8OFDqqqqEvKWZvbzM2sv4454OdIWj+1FNBWXsm1EvVotfi1euLKst9GmZo6da5wFPpvx/Yg8yopei1Xbvr6NWXq+ZcN1/UfTtu45VvUw7fGBcA+bkU2cTmfW9bgccqnlRiHr90FRs4pLVpqf5hJCqMB/BN4KzAI3hBCfl1KOJB1zHPhV4Fkp5boQIqdW+b5IyB0E3VyDudXX10dnZyebm5umU8fNZjNEo1GCwSCapnHlypWSv+dyyIpBfPGamJhgbW2tqKRhOqOnSckhx8iuY+2+WMXYcXwDHl7ITm92aKmzCVkzV19E7NvJMovVTk1tfgviRNbm6ArJ3mZAZB4zINuoJT3r0IBNjSfkvJEOGqp3G7UhrtArvoAu2lBkZiPqJL0m9MdC7+ZdNb+RdQ7pcMUyAvwQ/8Nn5Z/XRkvqvVAqpJRZDZ8hidDV1ZVw0txuNzMzcV1rw0lzOp37smqqFIe6kmyG/YBy2z4zbEpyIcp+6CeQD5KZN1evXi0qSJ5pXCEE/9qtpt3IlwMNJjU7dbKBXXjRRB1ImIvtluooBMkJOYkDsSVZOamVlpDz00419wBwJCXk/DQnykVUdUdRhSRtxaU1I3euMLysPUuv+BivU1/iw7q5CTmAphKusUTw2xt2PtWSLsKcG5UMSuY6186KYaM4ZXR0lHA4TH19faI4JR8GwUEJSgYCgceaJZAOB8H2GYHBhYWFRJ+f5eVl030/s6SlW2t/Gc3/l6gZ+rPsa1jAUD8UEpyhTTzVxbOtk+FvrWX6/+7k0Afn4yy4TCy5deL91PzE+8kZy3KG1ny3nrlQ0DykUKixeLFoGuEit7qxWDyQv77ZCF05Ds4CTSoYJL3l1XaOu0YT7y07mplu6KFu3Yu3N7U4to4NPGxflxXFU/wk0uBxZshlg6IouFyuROFYJBJJFJTdv3+fmpqahO+XT0B+L9jhxSbkHnfbF41GGRoawuFwlORDlUOyMhQKMTAwQFtbG6dPn070PSu3NKZR4L/zntE0jeHhYRRFKfq7MiNWGYlEGBgYoLGxkVOnTiXWiXL1p9sJi8WSYNNKKQkEAqytrXHv3j1isViCPedyuUre45qxBn5v8zscbor7ZQ/8pzhaN554b152sRqox06QZdnKCeV+2jGkVMlVcr4YvUg1koWk2Gm9KE6y8uXoW3a9piLpUIbSHh/jGLOzs3i9XmpraxPr8c74wl4XehSDQhlyB2XNLpME5TVgTEo5DiCE+ATwg0By0uGngP8opVwHkHKrmjgL9kVCbr9jYWGBiYmJFOZWOQyWmQw0I4FotVo5efKkKWOaVXWSDE3TGBoawmq1cuXKlaIWsXTzmomM01GTGqBSIzrWSIUqF0aBV2D4H2U3L44djl7AmpkZGLJvJ8viPeTyM6Ijtdmc2tQx/FkYcm5asrwbh22LIbcS7KK59ru73v+mfoXnBEilC7TMCTmHTJ+Q+0LkKSI1PdjI3HQ1HU6o8QDvg5jKSxGV19hTn91KSzrme76dTlo0GsXtdjM/P8/m5ibV1dVlqZoqFYV+n1LKA1lVtN9Rqp3y+XzcvXuXQ4cO0dmZvzTTXsJIIGqaxvHjx01LxhmO2HdCCl8JVC7QsVBijzAD/ZabW0m0+NxHY6dKHDE5IVeFIIRODUFKk3Jblx20bP3sMCjhgFe2YAj8CMJIxHZSMNNXFItixjb3r8Ov5x+rv8wZtS2jfFkpGIio1AiJv0gJ1L8LWXgprPKMvfBnfS/Z4dkghNjFINjY2MDtdjM1NYWiKCnFKenGrXRQslhH/NXYR6fcKNX2xWIxhoeHsVgs9Pf3J+6j/ez7HbIf5zuef8SbbJ82YVYVRlJCDsAV9JqWkAMY+pHTtP/tCvYXo/AIwtVW7IE08m8NQACoZpsplyYhN1vbxdqF+oLLcmqsfhSt+L1uJBrfz3jWS/tudF1NqKMszHSR3EpH2GHe2UGDZ4M5Uvd9LjaY2rK+AKoIMq4EOKKbw3J6XBlyhfo3NpuNtrY22traEnJ2breb+/fvE41GcblciYB8Oht3kHqHP862LxgMcuPGDY4ePVqwROVOmG171tbWuH///i5JyHK2z9l5juR7JhgMMjAwQFdXFz09PUWPXWrSzOv1Mjg4yPHjx2ltTSW2FLI2mZW8E0JQU1NDTU0Nvb29aJrG+vo6q6urjI2N4XA4EnGgvVIZ0qv/LvFzQFSjJjlKM/IMg76zdFrmmeAIzcpK2jFi9NJOdvnJkfBFeix6iqJIFcUx5G7EdhfUtKkxLCK9LKyj5inOnDmDlBKfz4fb7WZkZCQlQVpfX38gE3KFzDkQCBwghlxR/l+zEOJm0u8fk1J+LOn3LkgJQs8CT+8Y4wSAEOK7xIMuvyWl/Eq2k74qEnJGwqbQB8SgK4dCIa5du5ZSkVsOg2XWmIuLi4yPj3P+/HmGhoZMWxzMZsjpus6NGzfKYnwXYiOkdOSQEoevQr0VNoG/hUjbCby12Y23fcfl9tsyb0yD9iRDK/J7dCUW7mXtGZh6X/iyMOQWaSVX9xybEjdks4EuTgkvTcLPmtwe89PaVf6tBaTIvmlQWadO+tncNR/BiHyOi+JPcswkFR1iuyLnz3zWXQm5SkJKWfTzaLVaU5w0o2rq/v37RCKRhJPW0NBwINlm+6Va9XFBKQ5csh1JJyG8n6qLDfj9fgYHBzl06BCBQMBUe2XYmX+9VrltU4cqGYuZs7G/qN7Z+ike9RyQZ0saL0WyUjhAgoarpDEBVmUHJ7ZuKxsbidfXZfOOxJuD9Lpj29A1baeJKwp/Hb6IrK6iUbhLHywN/AheY43xYqT4e+u3Nmx8pbVwllylg5LFnktRFBoaGmhoiAeiI5FIovdcporVgxKUPEgVp2ainNXmpdg+o6Dx0KFDdHWl0pDMkJfcCTMCrQazIGT/p2jNnz14LLkdS19dOHev6UJx40MXePYHbyL8EDhfg/2uZ/dBRj1JFfGEnJ20TUq/euEtCLXw/U+N1Y8socgmHI4X3nnWSmOi67qSkKx0L7cSkVZsW4FIm4gy7ezmqGdi1+cUJCo6elKg68vWFX4ufKik+Rh4XBlypdiiZDk7IyDv8XgSrQ0sFktC2rmmpgYhxJ6ww5/0kNsNh8PBpUuXTEmUmJWQk1IyPj6eUKXaWbRodv/VdNgZ7zTiGGfOnEns8cwauxAsLS3x6NEjLly4kPa+LISYUK79jaqqKW1OjF6UhpKEy+WiqakpY7LebEwGFjnatt3Gwq5u3zsyJLhrO8Z8tIcrjhtMcIQmJX3rG5/spUmkL8Y38A/By7hUmVIkYys2IRfd3be5SwlkPF4XccUzIQROpxOn08mhQ4dSEqSPHj3CYrEQDocTcrz7LU6SDoX0vz44kpUU20NuVUp5tcTTW4DjwJuI6y58WwhxXkrpyfaBPUelpEsK2SwYNO7W1tYUuvLOMc2eZymOnpSShw8f4vV66e/vx2q1JgyTGRszMxly6+vrBAIB+vv7Sza+6YxeUKZKK1rCOmqsAgwcHfgCEAL3hRM5D3fEUr/PTVvmKsOgI+k9oZAPQy5Sc5holkV2u85x6/xkXmQnRTPXcpzPqsQN8UNvN28BzloX+XbkaOL9CdlMWPShytxN288yyYvsDhr/VeRdXLQXlpBzygcYumZ/E7TwBzo07FEBi5nP486qKYNBMDExgcVioaGhAU3T9mXyJBmvVnbcfpTtSi5EMezIThhrrtnzL2XMlZUVRkdHOXfuHPX19YyPj5saOFUUhc/6BNfDlVs4jlh1FjRzHKpTalySSsh4kutFeSFfknVapPaQiwcJI8JV/IBbmNfbEv3hLHKbIbeqN6f0jYvLZAa3fk7/hziqHGBCXCGKhRX6sbHCs5Zxvhs7UvqgO7Cul/YsfS9s4atBlbdVFfa8H5Sg5E7YbDba29tpb2/PWLEaCoUqzn5/kpDbHyjWRzMKUc6dO0ddmmI2s+Qld45Ziq1KZhY81fMULy3/bzxr+YyJMyw/pCXVHNVEMgfGisVGVz3zP99K1x8sU/9og/Waehr8G6kHGcXxRow6g0s28rrs7QgyodriJxYtPvQSisRt7fpy6Qy55C/cHW6i3bEt/bXY2MrrZl9K+1kbEUJsJxjuqmvAk4RcNhTCDs8FVVVpamqiqakJgHA4zNraGpOTk/j9/kQBXSVtSim27yAEd4uFoiimsZbMiDtGo1Hu3r1LTU0NV69eTbsfqyRDLrm3XjH94tKhmESYkaRcX18vqnXOXiJZScKIA62trTE+Po7Vak2sFVVVVWVZ714JfJ1kHbY6S1Lv75ALnyN+/1eJAEhoUtbSjrMqeulKqyW9jc/7rtCZtMx0KRsICt8rzGoXmdd2xzY61Y00R8ehi/Qx3Z0JUo/Hw+joKOPj4wQCAerq6hLFguniKfsBhfS/Pjis5vL0kAPmgGQWUffWa8mYBV6WUkaBCSHEKPEE3Y1Mg+6LhFy5YRixfB+ETDTudGOaiVIcvWg0yuDgIHV1dVy+fDmx6JppWM0aa3Z2ltnZWaqrq0tOxkF642tP1gCWEoe/Qoyo7xF/DIGZo9l6t8Vh2/F1btgyb9x8yRsVkd/Gd6P2cNb3pRQpTplHZj7/qGjOeT7LFkNueDPe5PukJTUhB7AgLtMrX8451ik5yYtid0LuPwXezO/aqxLB2Hyg4OWKZYZbsV5CUvBJv5V/5kxPSy83ylW1r6pqwuhD3ElbWVkhGo1y/fp1nE5n4v1ybTaLTayFQqE9k1p4nFGonQqFQgwODtLS0pK2EGXnuGbex0ZBSqFOveFIud1u+vv7E/e22U6lrij8tscc+ct8ETbRJ+7ZkglR5CISK9/lXIkjJktWxr+XsCzdns/oHYnEm5IkWbksW3YcmXwt0t+nZub57+jP8oz4ND9of7ksCbn7MZWjFp1HJTAiP7Rh562OQEE9UvdTD7lika5i1ePxsLi4yODgIDabLSHpU86K1Sc95PYPCrV9uq4zOjqaKBTM5C/uN8lKw189e/ZsQtq8yvYv0bXPooiDU+gkBPF1f+urdUTLw9C480/P0vqVNawDGo/OnuHq8IupBxjxOCM6kiY+7O9pINJd3B662hogGi1+HxEKbdlafxXBmIMqS6iocTRdSbETq5stKQm51aZmOj3p5cNq8Kck5DYUD3JXeWdxOKgFIrmQq3d4KbDb7XR2dtLZ2YmUEq/Xy/j4OPPz8ywvL6fIqZXr7y1WHtrv95cs5fhqQam2Z3Nzk6GhIY4cOUJ7e+b4VKV6yEWjUUZHR7Farab2Jy/UnhptDux2O5cvX846j0KUwsrR5icXdsaBjD7MY2NjhEIh6uvraWpqMk1FSSJxNmwr8a0H62mwryd+d8sqQqG4rRCKBA0axPqucQDm6OEof5vxXOFYJxOxJhqU7XvzrG1nHiQ/vKT9cNrXu5T0rb4kDqTIpREWh81mo7q6mnPnzqHrOl6vN6HmASTW47q6un0jbfk49pArQbIyF24Ax4UQh4kn4t4L7Gwu/zfAPwH+TAjRTFzCcpwseFUl5HJBSsnExASrq6s5KzX2k2Sl1+vl7t27aTWqzZxnqfRrg3kRDofp7+/n5ZdzJ2WKnVerbZshZwvqKJXIx00TT8ht4d7R3AkG+w7WnseW+Z7zJlcvCCUvdsOSszvr+8qOxN5S2AIZpn1fNIBUIIsUjnWrh9zARrzvQJ9lN5V8UF6mT34WSS2CzLI0R8V02tc3qGae76OLL2f8bDq82TrMrVjcoP4Pv5WfqY0WFLg0C5VyAu12O62trayurnLhwoXEpsCQsTVkDcx00op1pg8KBf6goRDpEbfbzb1797IWoiSPW0iRSz4wClIKcRJisRh3796lurp6Vw9Ss230F+3tpslH5gOHkAxHzDtfu7KGpA7BBkFxiogoLSmfKllpBQkBEyQrx7VOjM7eCn6sxIhiYU7fmZDLPX8zzf6XI6/njdb/xLOWG8T32eajXdF5VILG5mBU5TNBCz9SnabpUQY8jgFQg0HgcDi4fPlyQt5yfHycYDCYUpxi5hr2hCFXGMopWWmxWPIOKhqFKM3NzZw8eTLr87BffD8pJZOTk6ysrOySHTvqOMM/uJ/jDY4vmTrPssNCYtG2RSPxigqz1yZF4ZV/c55rP3yHc49us1bbQJMvKUC4ADjZljpOkzsbuHa+6NNXWYMEIw5sFJdIC4W3HTRPqJGq2uwSX5mg6yrJRTWLS52ca72b+H3Z2cK6vR7VH0OrSQ0V1bPBGtsFmqqIMKB4uahna4+QHw4qay0XCukdXgqEENTV1VFfX09nZyeNjY2sr6+zvLzMw4cPE/2mGhsbTWXMFCJ5lozH3faZec1LSZTNzs4yMzPDhQsXcvralWDI6brO4OAgfX19dHdnj1MVikL2FcFgkDt37tDT05P3PA6Sok9VVRVdXV10dXUl+jCvra0lVJSklDgcjqLX3YGNh3R2TyZ+/+7qG3h3z+cSv4+JQ8wE4uzp8JYxrVfSs9BmRQcK6eUsAZbCcbu7pG3P84Qle8+5TLgee2Pa17uU9PZUF0e3lMlyI9nPURSF+vp66uvrOXz4MNFolPX1dRYXF3nw4AFVVVUJueG9LEovtIfc47xm54KUMiaE+Dng74iXkf13KeWwEOJDwE0p5ee33nubEGKE+K72l6SU6amhW9gXCbn9INtl0Lirq6sz0riTUY45F2MEFxYWmJiY4Kmnnkr7gJidkCsWkUiEgYEBGhsbszIvzJiXT/PTZd/Svtcltkqw44LAF0n4NzFXF0tNuT9m01PntmbPHGT0OpLey5MhN+XMxdJLvc9D1ZlZcGFhRcQakJbMa4plKyG3GasCvYkuy+KuY76uX+F5Abp6CFUb3vW+gd6UnpmpeCH2Tn7cUlhC7qp1BILvAGAkqnI9ovD0ziZ+FcBeMBIMJ62uro6+vj5isViKk2a321OaAhf7fD5p7F0Y9oPtSw7s5SsZsh+Ckkafn8OHD9PRsVsL3kxpMb8Of+Yovs9pMThjk7xiojxmk1hDFx2ocpNleark8VIlK+NJDZ8JCbn7sc6U3zuVTab0Rqa11IScFPa0vX2SEZXmPV9/EXoN/77ewxHx0LQxd+JuVMWBJFQC0+DfbNj5oaoYljyHqLQ9KiZoVyyMnnUOhyOFQbC5uVmWitViv8toNJq3XMwT5Id8g5dGIcqpU6cSEnC5xo1GzVVXKDTQGovFGB4exmq1pvVXFUXB7f7fofMAJuS26odUXccRCxGymh+kWj3axPJPN9L2UTcvnXmaN418a/vNCJBcj2Qjxc5IK3z5WvpgXj5wWIIEwjVFJ+SCoe11wuNvoKPIhJympxZ1Lkz1QFKeMVJrZaauB4cnjH9HQs6Jdxcj7qu2FS6GDlZCrpSepvv5XLDNWLNYLLS0tNDSEt8/Gf2mkhkzRt/xUmxzIZJnyXjcJSvBvMITi8VCLJZ/sRXEr8u9e/fQdZ3+/v68rnG5GXKrq6usr69z6tSpXT1azUC+LDbD9iezy3OhkGtZzoKjYrCzD3M4HObevXssLi4yOzubwp7Ldy0Y017gdNLvs0oP9dIDAkRM8pL1ae54LwOwvqWgUq940o4VSkdHT8KD8EWqkCwkJeSOqEUm5KLpfeBuZXffVNjuH5cPsvkBVquV1tZWWltbkVLu6v9nXAOXy1VRX6mQ2J3P50vYk/2OMjHkkFJ+GVJZIVLKDyb9LIEPbP3LC/siIVdu5DIuBsMsF4273ChkE6rrOg8fPsTv93Pt2rWMD+5eUKZ3wvh+jx07Rmtrq+nj7/wbJyP3OL6VaLEHNJRK2MMvQ5K6Fht9Z/L6mE1LvTartszV2hvJybo8e8jdr8suMylRUkZxi+xJEW+wjlpn5oScqmz3hotGO2hRdzPkPhu7wh9aQYr6rOfqUuYzBlz/Q/Bd/Ljz/Vk/vxOn1Xspv/8Pn42n7cU5xaWgkgHQTEZ2p5MWDAZZW1tLOGmG5nVDQ0NBDIJSJLsed6dsL5DL9kWjUYaGhnA4HHkVouQ7bjEopIeq0Xj7/PnziX4ZO2FIopiBP95QWVMqu12qNjkm5RJrSNEDEsb107k/kBPJkpXx72bTBMnK4R0JuS7Fw5TeyIS2c++Q+3qYKXq2JmtYCh6nxrqMilaWjf6mFFyzxbgeKf5eG48p/L9+K++rze/efxwZctkghMhYsTo6OkpVVVUKg6AQ7Ie/7wniyBUMMwpRlpeXC+pdo6oqoZC5+8ZCbFUgEGBgYIDe3t6MwUxFUWj0d/KS9m6eUb9g5lTLi6QlVQCu4CaLZUjIAdz66ad45qsDXH10E4+zAZc3iSVXyza92ko8SbeFtTONbFan33PkA4clxGa4DhdZi6UzIhDavk/XvQ1QpNqftqM3bdBfg0+voVbxA1Bn3WSs6ih16z78Xal787i6qIaeZIPvq24gtT1BMXice8hVOiGX7nzJ/aYMxozb7WZqaioRsG9qasLpdBb03RQrYf9qZ1sUgkITPIFAgMHBQTo7O+np6cn7epaLIWeokK2trdHa2kp1dYYGnSUin7jn9PQ08/PzBfetO8gJuZ2w2+3U1tbS2NiIy+Vic3OTtbW1xFpgFGnX1tamvXdieoyOlhdSXgtYHdQR7yGnBnQWajpY2/LdFvR44axTeEmHXHfci6ErdFt0Hsa2bVdPEQk5XQpuR9MXX3Ur6QsudXEs//HzXOuFENTU1FBTU0NPTw+6ruPxeHC73UxOTiauQWNjY8HrcaEoVLLy8OHs7ZD2A8ooWVkWvGoScpmqSubm5piamsrIMNuPSGabXbp0Kae8yl4aBCNwWsnvd00b5jggNIktUIFk5C1gLPWluSP5Vf3YkoLaEhW3LfMi7nFsP64yD+q0RGEoTVP6VKSO4xbZN0hRaw+QvoIEUhNy3kgXLvvuhNwMDYTEUSwy+7VpVeYzao69EuvFJ56iVmZvAJuMLu6n/P7ZoIXf06G+wn029qMTWFVVRXd3d8JJMxgE09PTCCESm4K6urqsc3/S2LtwlHPTni1xVkohyl71UJVSMjY2xsbGRs7G22Y5lasa/HtP5Td1E1Ez1whJtXAjiTsVd7TSE3KpDLn49+MxISG3IOvQqUEhHhhsUzcgBmP6joTclkxmNoRMZMgBDEWf4bXWu7xR3uHr4oqpYxsImjDnP9i08U+qo1TlER+rZOX+fkxY5apYdblciYBFPhWrhdr2/RywKTcqtQ/aCUPq2OFwFNy7phzBynylpVdWVhgdHeXcuXPU12cuaDPmWFXzaxA6OAk5aUktM6wPeVmsK09/KWlRufdvjtD/Y4Pc6rnCG0e+vf2mAIyQgYWUhNw/PPNMSed1WEJ4Qg30ZvGjsiE5IefxZJcWzwZdV3fZz7VAM7W1cbtrFTEm63o5uf6AhTRZPwchAmz79AGxgYaOWoLkMuxP/+ignQvy88V2MmYMaefZ2Vm8Xi81NTUJ3y9X0qKUHnIHJfa21yjkuTBsRSHsLwPl8O+Sbe6VK1d48OBB2cgC2XxqXde5d+8emqbR399f8D2bbuz9nnjLB4qi4HK5EvdKJBJhbW2N6elpfD4fTqczIa1oFGl/b+MVmnrdKeN0OuYTvWvXZQM1kSAAjcoqbuJJsBqxu8hGylrqhD/rHP8udJVGVW7bZqAzTdF/LozoP8CmTL8W9yhDaV/XlRN5j1/sWp+cgIM4g3F9fZ2ZmZmEipTxvtmKGo9rD7nYk4RcYaiEbNfOhd9YlGOxWFaG2X7D5uYmd+/e5cSJE3lRRiuhBZ0OUkrGx8dZX1/P2iDdDOw0hhojANj9mgktpnNgCfjG7pcfHM1vsUpOyOnWhqyJtvWqpHs0j4RctOoQwZz3deo3tJyDIeemlWwh12h4u/JlNdTF0arvpj1uTlymT97Jeq4mZSlrE6Ab2nN8n5J/Qq6eVIZcUAo+5bfyvupQxYOE+9nhTN6YHTlyhEgkwvr6OvPz89y/fz+rk1ZsleSrVbKy3MjkWM3PzzM5OVl0ocReSFZGo1EGBwdxOp1cuXIl5zNk1hx/b11lU69s4PiIRWfcxH51p5R7qESIbS2o342eNW3sOOLfz5oJCTmAqGjDLuP9j1tFvN/AhNaIREUkjEJSgUoGSx8w2Uf+hvYG3my/yY8wwNd95UnI3Y2qdMow86J4h2tBU/iYz8ov1OVm3VSyj85+TMglI13FqtFzI7liNVvVcCnnfoLywyhEySR1nAt7UYySzCzo7+/PWogC2z7RqepLXPe/g2vq35o633JBxKlXiX1/bTh7gK5UeM65+Mo/+QHe8smvoTdYUda31ssg28mqpHiOVi/4xpnXl3ROuyXM2mZ25ZJsCAaTesitFW9vNX33OrzsbuNQ7VTi98WmVp6euJH287X4UhJyqojxQmSBt1s7S1rLnjDk9u58NpuN9vZ22tvbkVLi9/sTsn6xWCylOGVn8PZJ/9TMqGTCJrloMR9bkQ5m+3d+v5/BwUEOHTpEZ2dnWc6RjExjRyIR7ty5Q0tLC319fUU9+48TQy4bbDYbHR0ddHR0pJV5b2xsZNH1dyTzzB64T9Ln3C40GecIgVD82W5TFxMJuWpld4FHmF565FxG4a9IrJGB6CGedaSSa5qVwhlyL8d+MON73cqdtK+bJVlZCOx2e8p67PP5cLvdjIyMEIvFElL79fX1Ra29yShk/T5IrGZtf6S58sLBmWkJ2OlABYNBBgYG6OjooLe398BsHufn55mamuLixYt5s0n2IiEXi8USMmiXL1/OujCZ8f3tNHp1liGUmI41VOa/OwJ8nl1JI726gcnOdB/YDUtSD7mYNXu1o9emIIWKkBpxgebsY3tr+/KYQeq1WcrBkFukNasoid2+fR3uL9dxrCG9sRyQVzgi/waJBUF69mqdugRZ4okfD7+L76v6/azzTYaKmxPqEqPa9mbgz/xWftwRfGyDYcU6Scmw2Wy0tbXR1taW4qTdv3+faDSaonn9xCnbX9hp+3Rd5/79+0QikZIKUcoVlMxkq4ph85lh+yai8Kcbla+w6rLAeGGtIrLiqnoTAIEXicLXImYz5OJ2ZFU3JyEXoB078YRcixKXP5EoaDRiYWXr9+SEXHr4TE6k/pV8K7+r/zzXLLeA95k6djLa9QjzamkVkB/x2vnx2ij1OfzCx5khV2owJBODwKgaNqNitdgilicoHKUWokBh0sr5IputMpgFVVVVXLlyJW8pJAPW6l+D8MFIyAHxqMTW1qI6Un5JefGBILPf7KLNFaR+fS7+4gpg5MySTMjE5T6kUuJ+2hJmJVh8/5VAMKmH3Erx9lbXVNjBxl5c6ILe7d9XGptxDqaXF3OxwTKpe7GviUUars9SW1ubYFMUmhB4XJNkByEhlwwhBLW1tdTW1tLb24umaQk5tfHxcSwWS+Ia19TUPOkfvg8QiUQYHBykvr4+r6LFTDDTvzP61J8/f566JMWmcqp3pUuEFUpmKGRsM47dK+Qzv3Qy71Mrcxzt+HbKcd9a+j7e3rDVt1bXuaFeYcoblzasVzcSx1WJ4K5zbNBLG5n7oS6H4m2AQjt8OpdYzDn/nbgeezrt642KRpXYSPueLsrPkMsGIQROpxOn08mhQ4fQNI319XVWV1cZGxvDZrMligWrq6sLfvYL8UMOiqLVE8nKfYhkyUqDxn3mzJmEk10sjMW23JtHXdd58OAB4XA476asBiqdkAsGg9y5cydrfwMDZn1/yUZPSui2D2P3VYAd9zXAvftlb9/5rVLP3LBq21HXiNWV/WAhkLZ6RNid1/jLzp48ZrA9jpQW/Dmq8qeUZp7N8r7Vsr2JW9RPoFg2qZFB/Dso6l/Tr/CPRBRdOYrQH6Udq8qyikBHZpBA+fPQ0/y3qmZUVrPOORlvsQ0zGtxOyA1FVW5FFByPaUDM7I1BLidNSonFYsHn81FTU5P3s/1qTshVSrIyGAwyODhIe3s7p0+fLmndrWQPucXFRcbHxwsOopph+37LbSFSfkuyCx6TTfY5Nc4aF3KZiOhjQ5rRl2f3PbukFy+hlYwN2Z5gYjcq2w5SRDRjkStbv+W+Lj4ZTxxmYtAVikdKF2HRTjezpoyXCROKAyuSaAnzXtcFf+S18cH6SNbjKsmQq2Tyrxxr6k4Gwc6K1VAohNvtLqhi9dVu+8oNKSVSSlMKUaCyxSjpmAWF4kxNPzcDb+Wq+kLug/cDLCSaf9qjZnYBTQ/FLrnx2xd5z89+HhqAdWAVMBRB5fZ/X3rt20o+n02NsBgovld9IOCALWEKr7sORWroovCgk5ZGsnJpphPtmoIq4veiz1mTcexqgluWdfsZXnZFuXbtaXw+H2trawwNDaHreiJQmEvyHp4w5MyCGcWYyVBVlaamJpqa4iwXw9ZNTk7i9/uJxWK43W6sVmtBSdhAIJCxD/QTpEe6+9bj8TA8PMzx48dpbd3Zb7kwmOE7SSl59OgRHo8nLVOvkgw5w4cshMyQCQchyVYoCl0DrVYrD20P6bWm2udlaxsu6QEBlqDOjeqrvDIbVxKxKZFEk7gq4ds15jK9dJG+fxvAw9BT8eN2JORqi0jI3YimpxV0KukLgHTaQeS/RlVirVdVlebmZpqb45VDwWAwEYcLBALU1dUligXzUagrxDc7KD7Lk4RcESj3hshisRAKhRgbG2N9fZ2rV6+aor9qOGZmP3jJxjYcDjMwMEBzczOnTp0q+LuqZELOkDbIV7PamFup31+ygVyIztFqWcUaKa/B1OebUe6mTwQtHO5N+3o6JCfkwtbMPSEMaPZ6lLCbncy2dJiuy+3AJye7JLU5E32jSvaNnhDblLYRbzwheN62zEvRQynHfSpykf9oE0T1BjI9iYrQOKMuMqyl/zs0LIzxA5zkz7POKRlPW0b4T7w55bWPB+z8s8eUIVfujcFOJ21ubi7FSXM6nYlNQTYn7aBU3Bw0GDZqdXWVBw8emFKIAuWTrEwOdEopGR0dxe/3FyV7XOocB8KCv/JVPlFfr0hGIuauR33qMhIHQq6whjlSi6kMuS37axJDbk220bf1FTSJzcTrQVqoTkgP595oSwR1SDZzHpk/xuWzHFMmqCJCkMLlgPLBurBySQlzWy9tn/qfvTb+WW2UVjXzfqiSQUlN0yoaADUzILkTOytWo9EoN2/eZHV1lUePHiUqVhsbG7NWrBrFK09gPlRVxe/3Mzw8TFtbW8mFKJBfr9NCka4YZXl5mbGxMc6dO5fCLCgGourXIXKAEnJbsGlRVD2GppQ3VOF6Zp0X3/0sb3jwjXhCDqCKFPWT4CEHj9qz6YPkB6slylKwuIRcVLeg6cn7IIEjFiVgLXyd0/Xdn9E1CxsxF43WeKVpvXODRVsbSkhDd+w+3kqUWJINjIhNwkJPrIt9fX1Eo9FdkvcGsypdHOZxTZIdNIZcLjgcDjo7O+ns7ERKyc2bNwmHw4kkbLKcWrZ5BAIBqquzK/M8wTYMv8bY20gpmZmZYW5ujkuXLpnyXZZadBKNRrl79y41NTUZmXrljE0a5zPkOzc3N01rnfO4MeSKRbjq73a9FnLYaWINAK/mpFH34NVdAGi4EsfZ0yTkZkQvJ2Sa/j9buBm6hA3JXCz1XrJTWA+5oKxnKJo+mdSlpvcUdSV/uUrYG2n+qqoqurq66OrqQtd1vF4va2trCYlRYz2uq6vLOLdCCugPShHFkx5y+wxSSmZnZ2lvb+fq1aumbfYMo2VmfzSDxi2EYGNjg6GhIU6ePJnIghczXiUSctPT0ywsLHDlypWczX8NmGWskseZiQzTGzLXWd4FL+iDh1EyMLPGjuVOrBmwaNsJrIA19wIXtTuxQj7kAB7U5XPPbC/MGrkrHh6qjXGZE5H+ugmxXY1/ZyPOkDxlXdyVkFtVXPjkMWQkhj1LTPO8OpsxIQfwuchz/Ctb/gm5M1tMkWR8NmTn/1TK1+NwL2F2lWQuGP3nenp6kFLi9Xpxu905nTS/309PTz6MzicoBIqi4Pf7mZiYMK0QBcrPEjCkV1wuF5cuXSrKZpdq+359zWIas6oQnLJKXg6bu5nvUlbQRSeqHGdSnjFp1N0JuXmTEnJLekci3+ZKkhDxyuakngX5XZsaRZraA/Afoq/jhH2UH7QP8Ilwv2nj7oQZHH+/FPy7TRv/riE70+RxZMjthVPscDg4cSIubZNcsRoMBnE6nTQ1NdHQ0JDiMxyUatODCE3TuHPnDmfPnjWlEAXK30MumVlw9erVonoA7cS52me4tfL9XFH/vuSxyo6k7aqQ4Az78VTl71MVi7V/ZUP/YRWlSYM1wE7crG1tIQaunTflPBY1SkR3YNUjRJXCrm1ES7N/CylQhPuiaSoyjV1c8bbQ2BhPyDktXkarjqOs6Og9u/2IKkJ4kxJyqtB5werm3dFtSTir1Uprayutra0Jyfu1tTVGRkbQNG2XT/CEIXfwzieEQFEUDh8+nFCkWl9fT8gVOhyOlOKUZEgpK+qj7gXMvMcM+2P8Pzw8jKIoXLt2zbTvsZT5+nw+BgcHc/ZoLXdsUkrJ7du3qamp4fLly6ZdgycJOZgPrXG0LbW3aFRTsVeHaRDxipZp0Ysjsu13rIT6MEyFqnt2jfmQbt6RRbLyhdDTdCsxxpMKUqqIoKSTKcuCW9oPZ1Qe6VLW0r5eiFwlVNaupIOiKAmJUSBRFLO4uMjo6ChVVVWJ9biqqnC1nIPis8QZcgcnzbVvdNrKdfNubGwwNjZGbW0tJ06cMPU85WQJzM7OMjIywqVLl4pOxhnjmT3HZAOj6zrDw8MJ5zHfZByUJyGnRf8SNVZGA6gB3wP86R1yaa1mtCf/e8yibyfk/LbcC1zUbiTtcp9jsC4fJ7awhFxEWNGjmQMbyQm59WgNQm/gsCV9H7l5tZ+amuyBjZNqdmmwPw68I6WXUC70Kvd3vRZE8IK9eE3x/Yy9kEkxzieEoK6ujr6+Pi5fvszFixepq6tjeXmZmzdvMjg4yLe//W2GhoaKYsh95Stf4eTJkxw7dozf//3MvQQ/85nPIITg5s2bJf1t5UK5bF80GuXOnTtIKbly5YppyTgor2Tl5uYmN27coLe3l2PHjhX9/ZRi+74eEHwtuDfbo3KctVVZRYr4un03Vnr/ONjJkIszvWc0cyQrZ/TtIoy6JIacRybvhZLklrPYwxrF3P3AJ8OvR5FLvMN23dRxd+KubqVdKX3v9mc+K1OxvXMOk/E4MxJ2Fr8YFavnz5/n6tWrdHZ2JoJVt27dYmBggK997Wt4PJ4nts9kGEmtUCjEuXPnTEvGQfn8Pl3XiUaj3L59G03TuHLliinJOAOy6tdMG6usEKSUCtcHzeQ3Z4atNsbwr50Hw/TEiEtDxkBa4Qv9bzflPBY1biuT1VHyRURz7HL9wr7i5Kf1DAm55dXtILpFaEzWHCIyk96vr2V3f7nvWVbSHBmHIXl/6NAhLl26tMsnuHv3Lmtra6bvLTOhknLNj3NCbuf5LBYLLS0tnDx5kv7+fo4dOwbA2NgY169f58GDB3zxi19kbS19ADwXCrV/QoirRZ1oH8Lwvfx+P9evX6exsZFz587ti6Tm0tISg4ODnD9/PmsyDsqbkAsEAvj9ftrb2zl58qSpz/jjmmQrBNd9f4+yoyj/6+Nvod0xRzUBAO6IC3iD28x+nyOpf6C+26Yv4UIIf9rzSVnHi7HTNOzw5c5aF3f4obnxciyzHe9S08cqdXGsoHPsRTFgNhhFMadOnaK/v58jR46g6zqjo6OJ9TgWiyVae+XCQWE1G5KVhf7bKxyc1GGBMFhxs7OznDhxgvX19dwfKhDlCEoKIbh//z66rptS8WK20Uvu+xaJRLhz5w4tLS309fUVJadpZkIurEe4Ir9Q8nhZMQi4QcjdTUkBAj1n0Sz5fw+qtp3A8tpyL3ARu5E0E6Tr4WMg5ujCm49ucJJ3F80jIQcQ0ZpxZKpKSZKsBIjGOulR01PKb3OFE/oXs56rxX8/a4R6TrpYFc/SIr+VdRwDDXJ3Qg7g87ZWfqNAw14MKr2R03W9pH4pxZwvUxDJcNKMhsqBQIAvfvGL/P7v/z6Tk5MMDg6iqipvfvObE5U9maBpGu9///t54YUX6O7upr+/n+eff54zZ1LZP16vlz/6oz/i6afTN/F9XLGxscHw8DBHjx4lHA6bvjlUVZVw2Nz+LoqiJOROzdD6L9b2SQn/2r03WyMFyajJcpUAjWIViPfO/F7MHIZcqiMU3wdNmpSQm9C3nXlnUkLOLZvT1qJkW1UdGdjcxeLr0ZPoMsBFy11Tx90JiaAttMGizVXSOBEE/8+GnT9pSt8foZKopKNaaXZ4Nvn6dBWrw8PDfPzjH+fOnTvYbDY+9rGP8ba3vY2+vr6c53li+zIjGo0yODhIbW0tTU1Npt8D5SpGiUQi3LhxgyNHjtDeXnyPsUw4X/sst1feyCU1v73ynsKCUeOBM5w+SFcOTL+xicN/W0XtYhA2iCfnYrD6VBO+qtJkQw2oavzeUTW9YGZbNLY7Ibe+0UhdR+YkWCZompLWcM7PdEMSIWC+uY2js48Ipmku0ICHeTpT+shNq/nHWpJ9AiklgUCAqakp3G43Ho8Hl8tFU1MTLperLHaj0oztSrMm9sP5hBBUV1dTXV1Nd3c3uq7j8Xj42Mc+xu/8zu/gdrv53d/9Xd7+9rdz5cqVnNejGPv38ssvm/p37iVUVWV5eZm5uTlT5IzNgJSShw8f4vV685aGVBSFaDSa87hCsba2xv3796mqqiq672o2PG4MuWLm56j/6q7XNmMNHHc8RAhQQzH+oepZ5txHAFCRLCUVf1Tbdve19geDcZnoNNjUziOFgm2HL3fSkplRlwk3YpczvtelTKV9vVCG3H5LyCVDCEFNTQ01NTX09PQk1uOVlRVu376NqqqJnq+1tbVp1/RKxxVLwUHqIbc/75gSoWkaQ0NDeDwerl27Rk1NTVkqrtLp/peCUCjE5uYmDoeDp556yhRH0uyEnDGewWI4fPgwhw8fLmrjJ4QwZW6G0bu58THq2K1NbBoWgK18jvCnr9pcPnK4oCEt+rZh2swjIReyG8dk/769tUfynMH2OBGRX0LOp2djk6UaWm+kkxZL+oTcC9pVhNhEF5krqc7W566O/XbsuZzHGLCyQJfw7Hr9gVrL7Uj5l8O9rtrfT+errq7mPe95D1/+8pd5y1vewjve8Q5u3rzJD/zAD/CGN7yBsbGxjJ+9fv06x44d48iRI9hsNt773vfyuc99btdxv/Ebv8Ev//IvF8TcPegw2NUXLlygra2tLOcwu4+OrussLS2xsbGRsNmloljb9ymfwismS0bmi1NWyZo0P4hSI5eIbTm/L4TPmjTqtnMkiCGpxp+xI2hheKhtB6RrkxJyS7JwJrOtDLKj8zxNZxHNxAvFkt2JYkKhyCcDFu5F9367/zgz5ArpWWe1Wrl48SL/83/+T/7tv/23vOENbyAYDPL+97+fy5cv88lPfjLjZ5/YvszY3Nzk+vXrdHd3c/LkSSwWS1mllc3C2toaGxsbnD9/3tRk3M5gW9Txq6aNXVYkxXpqwoGKnvrlX7mEdlTA4tY8NPj2M681bXwjIScLJ8jFE3I7sOgu7n7RdRXSMOQ2VpsIy+2iug1XPQ6ZvvjKRnQXQ0HHxwaF/3FGoLCpqYnOzk4uX75MQ0MDq6urCUWN2dlZgsH0xbDFoJIJuUqeaz9DURQaGxv58Ic/zIsvvkhzczNHjhzhox/9KBcuXOBf/It/kfXzB9H+mZUYNXpDLS4u0t/fvy+ScdFolFdeeQUhBJcvX867hY/ZdlRKyeTkJGNjY1y9erVscY+DkGQrFIXcn8PeCXoaR1NeW15rw19XQ50eby8QilURVqq47Y/3K29XZYoEvyJSmdWabOFIVeaCwYnIhfi4O3zjY9bCfbCbkcytUXqU9DEnXez/HnLFwmgz43A46O/v5+zZs9jtdqanp7l+/TrDw8MsLCwkCrD3Wo6zEEgEMdSC/+0V9s0dY9YFDgQCXL9+HZfLlaBxl6OiEcwNSq6vr3Pr1i2cTicdHR2mfR/lSMgtLi4yNDTExYsXE2yXYmCmZKUfPxe03yt5rIwIAi8mndOfvgrw0dGmtK9ngpLUQ27dljuYGUwk5GTWnNxKbW++M0j8FM6TIbeWJSgqRWpCbjXYiSsDQ+6vtQtIVKSSuYqpXczlnM9Hffkn5ADeYh9O+/r/8JW/j9zjLltSbAIwGAzyute9jt/93d/lxRdf5DOf+Qzd3d0Zj5+bm0vpOdfd3c3cXOq98sorrzAzM8M73/nOgudTSZi11huFKG6327SkViaYaVMjkQi3bt3CarXS0dFhWuVVMbYvKuG39ogdB9Ckmu/o1bOOQ/jQNC+BaCsL0hwnPiUQJyPEkpp2l4p7sW2bUM12Qm5eS7Y9+V1bq8kMOYDr2rPUCzdNGSRWzMKiVHnKWvr+TUfwOxvmyd8VPY/HOCFXrO0LBAIcOnSIX/iFX+BLX/oSL774It///d+f8fjHyfaZidnZWYaHh7l48WKiEKVcKiZmQUrJ6OgoCwsL1NbW4nTm7iOdL9L5V0/Vvok72utMO0fZkGSCq6KVZfaGXFWM/2gP1AM20BoUvn3KvIScsiVDrMcKXyuiMfsuv29iqbAiUANazILU0t/L7vC2H+t0eQkqVWRy1W2kslwUIflba+GMPQNGwE9VVZqbmzlx4gTXrl1LyB4aMlujo6Mly1s+zpKVBwHhcJiamhp+7Md+jI9//OMMDg7yS7/0S1k/82q1f+FwmFu3bmGxWDh27Fjeia9ywuv1cuPGDbq7uzl+/HhBz5KZsUld1xkaGsLn89Hf329qe4adeNwYcoXiXuSFXa81B9xMKYdwbSXk5umkWVslJOPxyiZL6nUWpPpNQQ5xhPRykQDfXo0nxJZ31Hn0qYUx5Nb0wzxK14d1C13KyK7XJA6kyDeeGsdBW+uTfRe73U5HRwdnz57l2rVr9Pb2EolEGBkZ4Td/8zf5uZ/7ORRFKVghKV+ZYSHEDwsh5OMkM5wvDs4dkweWl5e5ffs2Z86coaenJ2EcypWQM2NcKSXT09M8ePCAy5cvU1VVVRZGmxkwJCUWFhbo7+8vOeBrZkLO6/oUTRkacpYMCbwEbK0/UnUg0lRtSsXCvcOFBXNVfXtRc+eRkAvY8+sXMOPMrt9tQCYtASHyu54LojXzeCJKMnNiLthFtZI+IbdODQFxGikyV7A15pGQ+6Z+js1I/gbzNZZ7aV//VMCKt3w9hoG97elWqfMVG5RMDka1tLSUVNmo6zof+MAH+PCHP1z0GAcJRiFKfX0958+f33UNzHYKzLIrGxsb3Lhxg76+Pjo6Ovbc9v3XTYXxPey3tVyGc1+13EQISZXdh892zryBUxJdUaLCZdrQ97XWRG/QqiSG3KyebHvyu7blqHf7m/DrUfDzw/by9+aymJRQ/GLQyo09Yn4aeNwlK4u1fcl7abvdXlLf6INk+8wIhicXouz0S8rl+5mBZGbBpUuXTB8/nf0TAkKOXzH9XKZDJZF4ssUiCFnmjfkOjL7jOL43VoGAR5f7kIp564iyxZCLRgovkIhEdu+JHyycKOr7iWlK2h5yACuebTtbX+PBF3Mys5GeWVDFbl/4umW14PkYyFSBb0geXrhwgStXrtDc3Izb7eaVV17hzp07zMzMEAgECtrrPknImQMpZVE+xs7e4UIIurq6SprLQbJ/+WJ9fZ2bN29y+PBhGhsby9Z7bSeyXdOFhQXu3r3LU089VZQSi1k+ZDgc5saNG9TV1XH27NmKP2O6rvPo0SMmJyfZ3NxM+c4et4ScJjVam1PlKheWOzjnHCJitdJMfN0f4izW8HZRZXIf7xrCiB2F++uyly6ZObn2ongDFqmxKFOT0O0UlpB7SfvHWd/vFQO7XtPFURCF3VMHba3P5LsIIXA6nYmerx/4wAd44xvfyOrqKq997Wt5xzvewR/+4R/mlJ41ZIb/9m//lpGREf7yL/+SkZHdyU8hhBP4BcAUjeF4DzlLwf/2CgfnjskCo8pwZmaG/v7+Xf2H9mtCTtM0hoeH2djYoL+/n6qqKtNlMM0yerFYjNu3byOE4OzZs6ZU55jVQ25ZW+T7q/9byeNkxD3i8iVbkPb0fXLCnacJFZhDULTthNyqLfdC4E9JUmR2JEbrMyfNUrE9RjBPhty0kn3zVa1uG9tH3m4synLGY6e4DGSugHVmMdLJuG99Pq/jAM5nSMj5pOAzgfJWne1nGS0zUGxQcqdjlgtdXV3MzMwkfp+dnU1x5LxeL0NDQ7zpTW+ir6+Pl156ieeff/6xau5tIFMhioFy9bwpdcy5uTlGRka4dOkSLS0tZZNXzhc+HX5vfe82Y62q5EEZEnKX1DtIVIRcZFo/bdq4yQw5IUOEaDBtbIlCjLgNsycx5Kb05ERFfte2HKvtp8NXkHKFt9pulGH0VNyJqDQr5jwXv71RvsrhfPG4BkCLtX0+n4/a2vz2XvDE9iUjEAgkgnHnz5/fxa7erwm5ncwCVVUrVjRzsfYt3NWeMfVcZcHWpbRoGraYuf1q88Gtf36emB2+9Nq3mzqu2ApOhqOFF5xFo7sZcsFYDVUZeppng9TUjAy5xaXt9cRp8bIcbeHRytG0x9bh3fXaQgF95HbNKw9JLKPPzfHjx+nv7+fkyZMoisLY2Bg3btzgwYMHrK6uEotll86sdA+5gxSkLQTFfo+F2j4ozv4Bn99L+1fsnseQYRwdHeXy5cs0NzdXzKZlsh+6rvPgwQMWFha4du1awdcv1/iFYGNjg5s3b3Ls2DEOHTpUkb1lctwyEolw8+ZNLBYLVVVVzM7Ocv36dUZGRlheXt6Xe49S8LLnLk21SfE8KemNzPFK9AqtjiWalFVETOc79u/DE9pujaAo29elVdltLxZFD60yffG9lA6+GjhLmx5G23F96yIThc0/9uaM79UInQZletfrhcpVwsFb6/P1Xerr6/nBH/xB2tvbeeWVV/jP//k/43K5cqoa5SszDPwO8AdkCwoXCA214H97hX1zxxS7kBoLoqIoXL58GZttd9VZOSUrizUooVAo4Uga0prGmGbO1QyjZzi9HR0dZZdUKQZL4T+gSpRJ1mQVGEx9SVrTS36tHj5W8PCKvj3vfBJy3gQVP/v3dreuPuv7BpIZcn6RX0JkTM2e7Ku1bFdL3NvsAmUNB7ubuAK8Iq+gZKGq22Xm95LxifC78zoO4JBIL1kJ8Gdllq183CUriz2fz+craG3p7+/n4cOHTExMEIlE+MQnPsHzz28nZevr61ldXWVycpLJyUmeeeYZPv/5zyOlLD+lpUCU4qw9fPiQ6enptIUoBsy2KVCaTdV1nZGREVZWVujv76e6Oi5rYXZCrlD78u89KssZAlSVwDGrJFdv0KLGVefRaUcQZSh2yrRxU3vHBAlKl2ljA4REvPDDmpSQexTbtj0iqU+NzPK9laM+NYyVdY5wWs3c59IsxBCcspjzXHw7bOHroYPT5LoUHBR2uN/vf9XavlJgNKE/deoUvb29ae3ofkzIlcosyBeZ7KkQ4Lf/WtnOaxq23CEBuIK7g3jlhq/Vye2fPMtEa3GSkBmxtSQFwrl7hu9EOA1DDsAayV6hng4xXc3IkJuf6kpIVKpCZ6qmF8t6+ufIhQe5w8oKAsxTXBK1mB41VVVVdHV18dRTT3H16lVaW1vxeDzcvn2b27dvMz09jc/n27UfrGQ/nErLNVeyz08ptq/QhE4x9g94/qDZv1gsxsDAAIFAIFGwD5Wzaensh9FeQFVVLl26VFJ7gVL9vfn5+URBZ1NTYa1iSoWUEp/Pl1B36e3tpaWlhTNnznDt2jW6urrw+Xw8evSI5eVlpqam0q4/Bw3zpMpVzi91c6FukJcjT9NiX6ZBXUeL2Fm2NvHIt31Nkq1Tm7rblk+IXupF+uJ7v36GMFZcaZqu9jgL2xdcj2ZWiOlQ08coXw0JuULm6/P5EjGbvr4+fvzHfzynrclHZlgIcRnokVJ+qbDZZ0acIfckIVcReDyexIJ47NixjDeFWUysnSjWMLrdbm7dusXJkyd3OZJ7zRLYibW1tQT7oqOjw9T5CSFKHmt44xVer/6FKfPZhQjwPXZF9GIyvdTI1JHC++kpW5KVuqUBTc39OHoduRNymq2Ntbw1tLfP6cuTIffQ2gwy81xrLdtJxjsb8cq1c9b0spVf0a+iyHkk6ZOcCpu0iNxG978E34hOfkGtusjdjO/djqoMRMq3LFa6IepBCUqGw+GCJCotFgsf/ehHefvb387p06d5z3vew9mzZ/ngBz/I5z//+YLPf9BgOEZCCK5cuZK2EMWAxWIpS0KumLU7HA5z8+ZNqqqquHDhQopDZzY7vJDnbCkGf+TZ20RFtEzOWq+yAkrcNl2PmShZmcyQI4TPRIYcgFe2A2CR2wm5hyk95Lbv6WzfXLlc4EHtWTpFfgUjpWJKM28N/+X5GGOPHuHxePZdssJMVJodXqwTXig7/HGyfcXshYxClKmpKfr7+3G5XBmPLWfwslCf0ixmQb7I5qtddL6NYa2/rOcvGUmx3rqwb0+mMF+XXqaxJGz1ifVGCi9uDYfT75GjRSh76DEFNIV0zeEiwWp8+vb8llqaaIylZ72p6Cg72OpCwJdtmZVRsqFUH0lRFBoaGjh27Bj9/f2cOXMGi8XC5OQkN27c4P79+ywvLxOLxR7bnqYHhR0eCAQSwd188TjZv0zw+Xxcv36d1tZWzpw5k3ItK5WQ23mezc1Nbty4waFDh7LGW/NFsbFEKSUPHjxgaWkppaCzUhBCsLGxwcDAAE899RQtLS3ouo6maUQiETRNw+l0cuTIEU6dOkVjYyM2my2x/hjs3f2y9853vfXHQvS2fz35g5zQHwHwinaZiGaliiBL8k1YpcKgf7tAeCPJxDSnYciNim6qmE173tnIRQAsaWSZ68Tirtey4VY0M5mgU0m/x9CVxz8hV8j6XQyrOReEEArwEeBfmjnuQUvI7Z0+Uwkw+q4tLCwk+q7tBVRVzamdmgxj3ouLi1y5ciVtAHq/JOSklExNTbG0tMTVq1cTTVLNTG6WOtb6+jqh0G+g2sukp30DdvQeBSASU0iX7ho+VnhPAEWLS43ErOllMHfC49hyvLJ8bb7a9NIi6bFtiH15MuRiwoKit6CL9Em2miSG3ErEidDrOWlZ5GZ0t3P7N9pTSKsVXTmEqqdPlF2wzPK1aHaptSB2Zvh+DvE3Oedfa1ug3h9gg/Qbuf/hs/LvG8sjkfNEsjI9ipE8ee6553juuedSXvvQhz6U9thvfvObBc9pv8Lj8TA8PMyJEydoacldBFAOB64Y1p0x71OnTqWtaCwHky9f/D/rFnxy79hxNiQjZerv1aEuw9ba/kKWCsFCEQmHIWHyAmyazJBz00EnoCZJYgWxoeNCwUNq3WVmZBetKh5fibyeN1Z/i15lnWnd3GTkTsxoCuetGnejpa/lD6x1fM/awbXFeO/icDjM/Pw8TU1NiX3e44C9CEpmK4zIhEAgULCD+zjZvkKYzJFIhMHBQerr67ly5Upe0naRSPrK51Jg+C75BiUjkQgDAwM0NjZy6dKliklrZfL9hIAN+69C7B+VfR5FIyk6URtK44hVAAuLXdQ1brJpS18wWBS2rv1GyEVHhiBkJoSD6RNy3s161MbCLJ2mbX3BqoQ0TLnVQDPOLQZCTUuQyKKVQMRBtW23Go2NCGFS4zC3LWsQKTyhaXbRot1up7Ozk87OTnRdZ3Nzk7W1NaanpwkEAszOztLa2kptbW1Zn8vHPSFXKclKKMr+7Sk7rpD7amFhgYmJCc6fP5+WOa+qKuFw+SV8k+3H/Pw8U1NTXLx4saDioXzHzxfRaJTBwUHq6uq4ePFizu/V7LVESonH48Hv93Pt2jUsFguxWAyLxZLws43knKZpxGIxhBC0tbUleqRvbGywtrbGxMQEVquVpqYmmpqaKp5YLBTf3XiJroZtOzy30MsP1n4BgGmll/boLMIB98QVmmNOokmJjaWkAv6mNAm5ITpRSZ9cGwhfBCCa5jpWZfhMOtwL9bOqZ/afulV32td1cSLvcyQ+8xgn5IphNeeSGQacwDngm1vPaztxmeGSmc2xPUywFYqDc8dsIRaLMTg4iM/n49q1a3uWjIPCDIqmady9exev10t/f39GNkg5esgVU8k5NDSEz+ejv78/JUhjBqsteaxiE3Lz8/N8Z+7zvNb+96bMZRceAbvlhAGosu/ekHjrutlwFm74xZZkZdTqyuv4DYfhpWa+BqvO3rzPnyz1tSnyX2RjMnOlSY0lNQASjXVwxJLecPpx4BNnkUrmatGzan5O61ei78rrOIHkrfb0feQA/tKrcH96piwSAwdFQrJYFJOQO+gyDpWCUdBx//79RN+1fLAfesjNzMxw//59Ll++nFFexOxilHzxKAr/fXNvt0JnbBJ/GeQqAZrFCiDQRDNjWnPO4/OFutUXQNPtCCQrYXOr5pb1OENOEKIqSfI4IrbuH5lfQi5apkTrX4Rei5AeftR+vSzj70S1MG+d/GPZzPGTp7hy5QpVVVXEYjFGRka4ceMGY2NjrK+v78mzaCYOCju8GAf31QhDEaW3t5fjx4/nFWgrZ7uCfMc1mAV9fX0cPXq0YgoJuezpZedz3NMuVWQuRUEhEaGoipapJUEOjC8dxbpsbkmHvmU33cH8ijCTEQqnL5hYchcufapr8bVKqOntykrSmA0NbjYDdYyspi/oqSGw67U1xVPwnKC8KiKKouByuTh69ChXr16luroah8PB9PR0ovfT0tJSQYXW+aKSvlixtqhYFFv4WQ62xUGFruvcu3ePxcVFrl27llHGupIMuWg0yr1791heXqa/v9+0ZBwU7u/5/X5u3LhBV1dXXvbfbGU0o9VCKBTi0KFDWCyWhDSsEAJFUbBardjtdmw2G4qiMDs7S3V1NZqmEY1GkVJSX1+fYO+eOnUq0fvy+vXrjI6O4na79+Xe22//auJnTROcF0MALGptqLYYDXIdqSt819KJEnYljq0TEk+SD9a4Q/FKSgsxVIRIf09/PXAFgHWxu9jNSv4s7FeUf5z1/U4lPcGgGMnKSvYmNQOF2ItAIFDwOpBLZlhKuSGlbJZS9kkp+4CXMEFmOM6QsxT8b6+wbxhy+WzAfD4fd+/epbe3d2d2dU+Qr2EMBoMMDAzQ1dWVoqOaDnvdQy4cDnPnzh3a29vT9mXYa8lKQ67G6/dxtvtPTJnHLmwAt7K8r+028v6TTxV+HilBjzPkQtb8er6tO9Ttz2Z4ZmadHQVMYttobJD/IuuXrRkFImvU1Ootf6SLHkt6YwcwKS5zWo5kfP94ngm5Pwo+x09bxY7eRunxrHWYT4evpH0voFh4QTTwfZOTBAIB6urqaGxspLGxsSTNdDgYCbJSUawzXUkpz/2EfP5uI2CuKAr9/f0FXdNyMeTyWbsNJ0bX9ZzzNrsYJV/85pqFaJmSYfnCqZQvKe0Sy4CF1WghzOncsFotIEEoNUCY5ZiJLAJgTu9ImKcu1cOYFi8CCdGMg0eIDH1JdyJUpq92Qdbhp4o3WW/x4eDby3OSJNyJqNQLyYYJCcbRmMr/8lt4rz2KxWKht7eX3t5eYrEYHo+H5eVlHj58iMPhoKmpicbGxj0tfisGuq4XxVgrFsXa2idByeyQUjIzM8Pc3ByXLl0qqJK8XMFLY1yrNbtUYDmYBfkil40WAtz2X4XYeyo4qwJhASLgiJafEZIOt2cuc9I+gtJtXlJO39r/rwYLb3EQzMCQm1o+TCdzad/LhNgWQ04oOjJNFfnCXBcciv9cX73Bkq+TRX8HV9OQjerZwE1qoZUqQowqfk7ohd33lfSRhBC0t7fT1dWFlBKv18va2hqzs3Gfs7GxkaamJpxOZ8n+SSX7uh0UP/NJMUocoVCIgYEBWltbOXXqVNb7pFIJOSklw8PDtLe355xTMSikIH9lZYXR0VHOnz9PXV1+foYRXzTjOYhGo9y5cyeFyZacjNsJg8nf09OT6BNrsOcMBh2AzWajo6ODrq4uNE3D4/GwurrK2NhYYu/d1NRUUDuPcmAl7OFI24uJ3xcXunm67jYA1yNP01a1GE/IRY4x4ailemNbMaTNorOZFGds3CENGaOLExkSa1Ja+KL/AhYky0pqMUqfuoYooE/py7HXZ33fFbjHTtEsnXYQhUtLa5p2oOJZhUpWFrqXTZYZ1jSN973vfQmZ4atXr6Yk58yEIVl5ULBvEnK5sLi4yPj4OOfOnct7Qd4Jsyuv8jGMa2tr3L9/n7Nnz2btdWBgLyUrNzY2GBoayigpBqWx2kodKxaLcffuXWpqaogeecgZ7RVT5pF6EuC7JLen2QUZ3h0InD1aSBIsDqsOYovpFrTmt+h7bSpSqIhdbbS3MebMzF7biWSGnCdPyUoAN1kScjsYcquhTlqrMyfkbupXOMO3Mr7fp+SXkLundbAprlCfR1HFBTUzQw7gr62t/Py52l0SJ4qiJJy0YiROHneGXDE4CHPcS/j9/sTmvru7u+DPl8OBy+e+N5zMTMUdO7EXkpW3QoLP+Pf+3puKlWvzLqlilVjYwnj4deaObNhu4QAJPntHviqSeWFqiyEH0CE2GSNu1/yyGRdA3gm58jlGD/V+jqsZqPQmI4zgqjXGdyPmbNt/b9PODzUFUtZei8VCc3Mzzc3NSCkJBoOsra0xOjpKJBLB5XLR2NiIy+Xa90zogyIPXYxk5eOEbH6ApmkMDw+jKArXrl0r+Pstd0IuE4x+ceFwmP7+/rwKuYzvwSwfNR/f73Ltu3mw9hQn1UFTzmk6thJy9lgEix4lphTeK61oSMnLk88gAjqn3jRk2rC6iK9JS4HCWW3BQPrA7L2Fs7yGfyhsHrH4PDIx5JbnOohJFYvQqFW9bPprWMmgjOLEi0QidhQ2/a11hRPhwoJ3leyznWwjhBDU1dVRV1fH4cOHiUajuN1uZmdn8Xq91NbWJopTiin0kFJWrDjyICXkKl2osBfIdj8bMcLTp0/T2JibNVuJhNzGxgarq6scOXKEw4cPl+Uc+dgnKSWTk5OsrKzQ399f0HNnVizV7/czMDDA0aNHaW1tZXl5mdHRUTY3N2lpaaGhoSHl3t/c3GR4eJjTp0+nxHyN5zE5KWdcR0PNoaGhIRF7DQQCiXsjGo0m3quvr694vORF7zc52hyfayymcNl6O/He9cjTNNav0RVdYl3GW8s88G8n5Op32Jf6HZKVftnLcZm+mCSsn2BDr+KwRWMilrq+nLXOF/Q33IxmZ7qdcO6OUYaifUSUSMHr/UFkyOU730rIDEsp31TwCTLgSULOROi6zujoKIFAgP7+/pwViZlgLM5mboiyLfjJhiS5B1sumN3zIF+jZFRy5qpANZshl2+QJhgMcufOHXp7e2nuaMHlfr48gqu3iTPkskCJ7JZPGTlaePW4IykI67flWYUhBLrdBWkanBoYrC+kn832l7gu8q88nqfFKJ7chSo19f6dC3TxlPNGxrG+ol/lx8UkEisiTUS3Q+Rf+fmS9hxvV3In5I4o2RNyNyMqQxGFczZwuVyJjVUkEkkk53w+H06nM+Gk5bM27UXyab9X6gSDwQPHvqgUzChEqVRFZTLW19cZGRnJ28mEvZGs/HW3JaUoYS9wyCKZipVnTTitjKASAWWZSeulfHNYeSJuu6WM722WNXP7qI1pnYmf29WNRDO4DVroAoTcro7Mdg39ZcwDfSP6On7G8RflO8EOLKbp9VMsZjWF/+a38+YM9kEIQXV1NdXV1fT09CQqeNfW1nj06BF2uz1h+/JhLVUy0Ap7I1lZzPmesATSo9RCFCivZGUmWxUOhxkYGKC5ubkgZoFRkFKqCkM+czSg6xrDnv8/J5t+wZRzmo6tr0KRkupQkM3qyiXkrLEY3nA9D0dP8pR+i4hiTn9NTYnHIBaDhRdx/n/s/Xl8ZPlZ34u/z1K7VFpK+9r7vqpbPZ7FxjY4XgATQgDfm5B78Q0Qx7khIQGTG5awmB3nxx4MOAYMGDAmNnYw4wUv45np6Z7pllpSqyW1pNa+lVSqfTnnfH9/lKpUJdW+tTTuz+s1r1HXOfU936o65/t8n+fzPJ8nGMy8T173dWARYSJSYZUUhpBI+H5SliVLGAqeWBMt5g1kSaDbTWg2JaM4i4xAQcfYE1IaVd0QOVLQnJLXrbGdyHYtk8lEe3s77e3tCCHw+/243W5GRkYwDCOZmOl0Oguaby2rJmqtjFKO7TsIalePA0IIZmZm2NjYKCpGqKpqVf25hYUF5ufnaW9vzyqbWQnks0+JZBxVVbl+/XrR91cligcShFiin5+u6zQ3N/PUU0+xvb3N+vo6U1NTWCwWWlri7QCWlpa4fPly1j2xLMvIspyUvBRCpFXNJdYJq9VKb28vvb29aJrG1tYWq6urTExM4HA4ktVz5apAFLLeKvX/kPx7bambNzTuFkN83vc2zjUP062uM8kVLEJhLLir+GWRSeuw49wjWbkh9dEvlsnkwi1plwFoVQQze4rUT6nLeT7ZLmLCwt1YY85z+pTxfa+FYr2MTKav9/X19XnvxcOWZF6Mmshh8lcE0qHqIXdgCLlMC0I4HGZ4eJiWlhZOnz5d1mYm4ZhVcpOSzdnTNI3R0VFMJlPRhqTSVQL5ZCGFEGmEZz5nsJK6zIWO5fF4GB0d5dy5czQ1NfH1zd/krfJsReaQitXwKdqnJvKeJ4XSG4zrzk5WS2jNo0R2yadtpfCSdN3sRMlCyOkmFyu2wscSKYTcBoUvsrO08nSWY/Y9hNx0oJunlc9kHevv9PNgUjHkPhRjct/xVgrPhPlI+Nt5uz1z1kUq2qT9xncvPhow8Wvm9JL4hMRAZ2dnSRInh81Q1wKllMC/npDtPpmcnCQQCJSViAK1JeQS8mLLy8tcu3atKKmNaklWZnM4Ph+U+HLo8T+LfaqoWoXcdeU2MaMJk7zFC4ETFR1blohzcpIFBCwZlSXkxrVdQq5N3s2S2RQtO85bamJM9u/PV8UKuT+LvIn/YP1NLihLjKQQiNXCQ03hjKozrlVmH/sbQTtvkAobS1GUZBAASFbPTU1NEQ6Hk9VzezOGEzgsFWul4olsV+WwurrK1NRUURJVmVDrCrmEysjp06eTAbpCUQ11lFz+VTAYZGhoiEu938qk/mFOKqMVu3bFkPI4NYR9eO2VlUXOBSMUv7jNEsK57WejqTKEnLaz3vpiDQhDQipCrjoUzD4HSyxCxFwgIZeazZrj+hu+VlpcGwCYu6PIms6cp4/+pv1V4VYiBPeElLySJ2PlXC7UmpArBJIkUV9fT319PUeOHCEWi7G1tcXS0hLj4+PJAHlzc3NWYqWWVROHpUKulH5EhxWpBFEsFuPevXvY7fbHHiNMINHDTtM0bty4wczMTFX9xlz2LhwOc/fu3YLa/GRDuYTc3Nwcy8vLXL9+HVVV0TQtOW8g2cYE4nu4iYkJtre3sVqtLC4u0tLSkreaLXFMURRMJlOSmBNCJCvoEpW1LpeL1tZWhBAEAoF9yQEtLS0Vkdbdiwn/PEc643uDWEzlKdvN5LGVcBsbZhfL4W7aG9b4O70HV8yZZl/2ul8NeyQrF+mjM0uMbzRyBYBM0Y+jSuGE3JD+HYTy+IE90r19rzmc1xgYGEhb771eb971/iDasFwotofcYfFXEj3kDgsO7Ew3Nze5f/9+TvnEYlCtPjp7x0w4OaVmddZSsjIWizE8PIzT6eTKlSsFLSCl9H0rZ6zl5WVmZ2cZGBjAZrPhjri5YvxSxavj1uRW/sT6b/hRfiTvuZJ/K+3f28fOZ+3nlgt18u7jtyYK/0CapR5Fz/y9BeuK7RO0O+8NufCN8QM5e7DBuoeQu+/twSRnb74awoJXuohDViEDIddQBCH3V5FrfMzeiYncxtoqHmIhSoTsWSF/GTDxsw0R7Fl+mlIkTl7PhFypm98nAcl0pGbYX716teyNXa0IOV3XGRsbQ5Ikrl+/XrSDXknbkjpmps2xYQh+dPlgNM72VnEaZ5VZZLULjC1eUq8lq8wqgWSvTskcJ+RE+fu0VIxouxUELZI3+fea0boTqN1fqZ4JISGhINCrUAl5V+shIuC7LK8wEvynFR8/E5oq2G/QLWT+0tbDG0p4r81mo6enh56eHgzDwOPxsLm5yczMDCaTKZmcYrfbK9rPo1AclqBkIb3IvlGQSETx+/3cuHGj7O+lWtUEmWxqorKg2D53CdTS99vbSuGV7R/npP59Fbt2xSATX+t1qI8E8p1dUfh88WCr3Rok+KgOKpRvokm7fl9Mt2CWC7NjAMFAdsJNhGVyuDNpSA2YSlJ2e7K63skZV1xNxNW2wcP1E9znXEZCzkGA4J4+5IoU47bsZdAorEc6HI5gpslkoq2tjba2trQA+djYGLqu09TURHNzc1pAvpb2qNbV4aUmv3wj9k/1er2MjIxw7NgxOjo68r9hD6rhzyXaC7S3t9Pf348kSVVXLMk2fiIBvxh1lWLGzwfDMJIykdeuXUvuXbP1izMMg5mZGWw2G5cvX0YIgdvtZnl5OUnWJ2Tg81UhJarnEuMmiLnE50hUz9ntdurq6ujv70+SRYm4U7GqTflwL/JFzuz8vb7UwdNNuwpU73ntr2m/soo71IS1XmHI1EhXoDHt/aE94zn2VMjNSD2cFZnbD301OABkFnbpLYKQu6m/K+dxFUGHPLbvdUOKy1yWst4fdBuWimJ7yHV2Fl/d/7jwRLKyDCSkHtfW1orOsM+FahixvRn9icajFy5coKGh8A1orjHLRTajlNBFLnZTUMkKuVwZLEIIpqam8Hq9DA4OJn+/+74P8c3yZkWun4COzC80/WfG5WP8iGRGEdl1vYSkIAU9aa8tHS1NTseSEhyNNRa+8YhZ6rEEvBmPuev6ippDaoXcehGSlQ+kJhAySPvvrb2SlXc9PSBtYCJGLGOuC8wwwAUpc58GWxGEHEg84J1c4CN5ztJ4i3mCz0UvZD1nW0j8bUjlXzgKi2IXInGi63pJwZrDgHJkS16v30mhSKyFCanHSiWiQOVlkFORCJ6EQiGGhobo6uqit7e3pM1oNTawCfuXel/qus6v3F9i3FbZirFSUCcJRqPV27gfU9ZAcmLg5I5WWqZpdiRsd3xNnzdKd54zIYAFTTSiSh5cKRVyyzuEnISRVeZ4L+olgadKlXIL4gRPm+4B/7Qq4+/FcFTBIQkCFfo8f2Hu5Cf0EK4svYQKQaK3aiKAEg6H2dzcZHp6mlAolExcqSUeh2TlQe+rdxCRWPcjkQjDw8M0NzczMDBQEXtQC8nK1ABeKX3uEqi075ctwSWR+Z/qX1+r/y4ebn6Q43J+5YiaY4eQs0eCNb3s0lY8udFijjB57xTdVx5VZFxdUlHlKJphJqDVYTYVQcj5rZBF3T3gc0CBS2yaxHOOx2x5vptENLaxcQtjVGHOkdnHbMTDOvt7zH3BvM5g+PVFyKVCkiTq6uqSAfKEvNza2hqTk5PYbLak71fL3ni1rg4vRTrvMFVbVAKLi4vMzc1x+fLlkisDU6u1KoFsPme1EzkzxRITSS2JBPxyUEqFXCwWY2hoiKamJs6cOZOUk8xGxkWjUYaHh2lra6Ovb3ddTCVv/H4/GxsbDA0NAeByuQqqZkutngNyVs+1tLQkr5eq2iRJUjIxrq6uruj1RyBoav6Hnc9q4Y2O3T6lv/Xw3/P17Tfxrda/Jey14xfnEbLEWig9c2Vzj5/i2FMhNyr18r1if4xPCIm/C8QJObe+fx/foawU/DluxQZzHu9QNBRp/72eIORSUch6H41GCYfDFeMvqo3Xa4XcYcOBIeQkSULTNO7du4fVamVwcLCiznS1CLnEojg9Pc3m5mbRjUf3otLl6JkIuQRxeOnSpaI1oitdIZfJYOq6zr1797DZbAwMxBdkwzBYDM/zjPQ7Fbl2Kv607v9gxHwegEDbJZyrOXqQWZqB9bSXHpwobXGypFS5uYu4ZyLmOur8W3FHas/Xt1hfnB67SDHQGxS+QdQkBdloxZD2N0K1KOkyjysRJwgHZ9UNhrXMmRWviGtc4OsZj6liNSeZtxd/E/k2LlhyE3IAbzKN5iTkAD7qNxdMyKUim8TJ3Nwca2trbG1t5ZU4OWwo1Ql8UiG3m4iyurpa0UQUqJ5jlVi/Nzc3GR8fT0oKHyTstX+hUIhbd4f4o7ZnHuOsdnHOLHglUj3SoFtZA1T80umKj71bIRd/5h9plf/t/ZqLRpMHS2g3G3LRaE05wwYFEHIOCTxV4j5e0p7hTWrmDM9qIIDE0yaNl6KV2b4HJYVf85r5xaZI/pMLhNVqpauri66uLgzDYHt7m9XVVbxeL3fu3EkGCRwOR9WClI8jKFmqz3KYAtDVQCIoWIrUYy5US94rYVMzVRaUimr7fglJMl3X91WwK7LMgukDHNe/v2LXrxhUIAr2WOHEVSVwfyXORKkmja99/U38H//yjxHZGq4VCYcaYDtqxhNz0mTbKPh94aAlKyHn3mqlqdtd0DiFVsh5N5sJCwtWKUKD3YNYUfGczGznHQQzylNOKMUl0B42Qm4vVFWltbU1KS8XDAbZ3NwkHA5z+/ZtGhsbcblcNDY2Vi1h5LBUh38j+X5jY2NEo9GCWsPkQqX8uUR7gaWlpYwEWC17ehuGwYMHD4hEImV/PwkUO//UIoX29nYMw8hJxvn9fkZGRjhx4kTWPUtqHCihorSxscGjR4/w+/04nU5aWlpwuVwFtQvKVT2naRqyLFNXV5dUbYpGo7jdbh49ekQgEKChoQGXy0VTU1PyerlIy9ueMdp7FwHYWnbR1OQB4N72Rf7L6C9DEzjVbbpVN7OcAmA8sEvqSoh9fa8dUjoh95rci8VY2HdtTfSzoDWiIJjP0NKhRS6GkDuS83i3sr/6XmBFSPkLHDKt93fv3k0madVivS8Xxfguh2nNjktWPqmQKxrhcJhXXnmFo0ePVqUcUlGUimaVJMbUdZ27d+9is9m4du1a2Q9cNWVLEkHfjY2NkonDSs4v01gJ7eiEFFLC6AghWA7+PCeVyjpld80X+bO6703+e7HzQk5CLiY7MKcQcoatkekSb1dLyp5qo4jfYj1mUBcOICx21D1ve+hszfymrIgbOiFsxOTiloOYaEdhPyFnVfYHSHW9izPqSlZC7n/r1/kBOXMGqoTBeWWFu3phFR6/FXobP2WxIJE7wHhVvZ93rJtRhfsxmbOm8u75RMl7MBjEZrPhcDjylryXi1pn35fqlH0jypbsxb1791BVteKJKFDdKoFEU/JKk4iVQqqNSQR9Xzp2nYXgwZCIU6scd2qXV4EYS+JsFUZPrC8qAhs+Kv/7x8x9IB7Sbo3Ajs80EagDS2IGlp28lNxfpF0WaY3FK4m/jryR7zH/r+oMngVbRmVvnD/0m3h/fZQetfI2Q5Zlmpqakj0yjh8/zubmJrOzswQCAZxOZzJIUEnpxschD31QHe6DjMXFRR49elSRrPi9qFZgX1EUfD4fDx8+rFg1ezV9v4QMdltbW1bi8Hr99zCz+QsclffLxj9W7LglVi2CJIyKkWL5MLx0DgBJEay7O2gMb7Nlq0zSicMUYDvaRCBWeBJkRDcjjOz76/mNPpookJBLbZGQ5+t0h1voti3ikANIAR3DDsvBNjrt+9sQmNDQ9iROhqRtYhiYCuwzcdgJuVRIkoTD4cDhcLCyssLAwABbW1tsbGwwNTWF1WpNJqdUcu07DNXhEA/uFpsUfljR19eXlO8uB5V4NnRd5/79+wghkgpUe6EoCpFI5ZK0siEajTI0NERzczNnzpyp2LNfTIVcQsL5woULOJ3OZMwxGxnndruZnJzkwoULRcUuTCYTnZ2ddHZ2IoRge3ubjY0NZmdnUVU1KW2Z7z7JVj2X+H/C31cUhfb2djo7OzEMA6/Xi9vtTl7P5XLljIs/Es9zFohFbLyp/qsAhHQr33f7z4kYVpRGjahh5rx5llelXhyGiYnQ7vPcpghW9/hm1hTJSiEcbGFDltLbAAGsalcA6FENHmXomd0oFUbI+UQ741rutbVL9ux7zZCOQ5F7jcR6bzabuXLlCrqu4/F4kuu9xWJJ9uGu9F63HBSTvBgIBA5V388nhFwJsFgsXLlypWrSZZWWA4F4tr3X6+XChQt0dXVVZMxKO2WJRV3XdUZHR1FVtSzisNxGqbnGSjRET2hHCyGSxuJhZJRn5T+vyHWT15Oc/GLjf0pz8IY7TpIrdKnL6ffnds85kEvbQFjE7u+8YSn8UVRb2jF7pjPSTfecxcmGJSQrDYonRAKiLaNCilXZP7NAtIvjppWsbX/+t3EWFB1D6kYWi/uOX1QXCibk3KKOVd5EB5/Ped4JOT8hB/BRv4lfrlD1QKKxdyESJy6XqyyS47BkST4pgYeTJ09WjdCqBiGn6zrBYJBAIFAVErFSSNjT+fl5FhcXOXn1Gt+7ejACAJIQTFZRrhKgWVpDEjIPjMoTcroW2+nlJqNLjRUfH2BLdNAKNJt2MxgX1d2sxUgUbOZ9heL7YKvi1/z30fNIhHhOfcgLWrE9XEvDuKZwQtWZyuColoIIEr/oNfM7zdULwCQCHBaLJS0okQgSzM3NJaUvS5XYSUWp9qiWiMViFckGP8xwuVy0tbUdWBuSCdvb23g8Hm7cuFGxwEo12hXouo7X6+XevXt5qw9VWWFO/QBHjX9dsTlUBDuPh6prmLUoEVNtEn/G5uMZ/8aOfyitSHC0MmPbd+xZKFZ4vCOi73zuLMZuYvkMl7hT0FhGEU3Y17fa6bYtIkuClt4NNtcb+N9j38H/881/sO9cC+F9hJwi6XxV3eKbtcJI69cTIbcXCXm5xHOYqJ6bmJggEomkVVOUY7sMwyhLqamU65XaruAwBXfLQX19fc0qznIhkfSer71ALSrkdF3n9u3bnDhxgra2/XK35aDQ9joJ3/DatWtYLJZkzDHb/Tw/P8/q6ioDAwNlPWOSJNHY2EhjYyMnTpwgHA6zsbHB5OQk4XCYxsZGWltbC1oL9lbPpf6XWE9lWcbpdNLY2Mjx48eJRCK43W68Xi+jo6NJoihxvbAepaftiwBo607qnfHKth8b+XVGfRdAQEv7OqvhTk5YXuHD6jlatfSIYKtqsLqHELFIu75chF4uiszE2njkSnwMWZApVd9RICH3ivbdGHkSNruV9X2vGdKpgsbPBUVRkt8rVG+9LxfF+EqHrUJOe0LIFQ9ZlqvaR6jSQcm1tTWmpqaw2WwVI+OgOsShYRjcunWL7u5uenvL6yNTSVmVVEJuZWWF6enpZEP0RLZHIkMlFvpJFKWy38uvNv4wbiXdQf1aVz/fm+V8ALMlPZj7qLu95OubtZ0eFEo9UaXwzWzIakNGj0sdpuw3YpKdOXuxwYEdwrYEQm6TzIScWd5fIecOd9Fr3l9Nl0AME9vSZeplDfT9hNwZZR54uuC5fVH/Vv6FkpuQ65AK65fxF0ET/60hgq0C8aJMjks2iZNyS95rHZAsp0LuG8Upywa73V4156fSti8YDDI0NITFYuHEiRMHPpA6ORnP+B8cHORnPWY2KlxdVCr6jBCPiujbWQrqWUMS8Kp2ruJjG4YOCvh8fiRzdZ7fdb2dUwrUid0ecpPGrs01m+vZKyGdCeYcslzlQiCzbrTzbsvNmhFyAO2yYKqC4/15wMQP18c4VWY1eDZkysKUJImGhgYaGho4duwY0WiUzc1N5ubm8Pv91NfXJwm6YqvnHkeFXLH4RgpIZoPNZqu4ekm1YBgGY2NjhMNhent7K5rlXA3JSrfbzeLiIleuXCnoPrvmfA+zm7/IEflhxeZRNiTiPUN1cIb9rNeAkPNp9Wx74tVwuhQPkyw96MZ6dL+0VSlwqMUTcuFUQi6DOZteP44mFNQMvXD2Iq1CLg9WVjthJ8Th6l1jY9XFSqCThUAPPY50qbF6fATYn/D0FdPGE0IuA+x2O3a7nZ6eHnRdZ3t7G7fbzfT0NCaTKa2aopjv5LAkY34jVcgdhHt6c3OT+/fvF9ReoNo95NbW1giFQjzzzDNVCfDna68jhGB8fJxIJML169eTbZOyVcUJIZiYmCAWi3H16tWKx1asVmtSGcwwjGQl7eTkJFarNUnk50vczSRtmUrQJT6jyWSiq6uL7e1turq60HU9ufaYzWZmGpc4ecFLOFDHdcdXAPi75W/nf8y8L34hFdrtyyyFu7E66ojKKkakMW0udTL7bJUlpULOSz9nM/SPA/h6KN6uyJplGTNnUOfKhJva2/Ke0y3vjzkaUuV7zBey3jc3N1ekkrYYFEvIHZY1Oy5ZeWBorrw4PDMtE5WSrBRC8PDhQzweD9evX+f27Rz9xkpApZ0yj8dDMBjk+vXrNDcXVz2VCbIsE4vl79lSCCRJQtf15PeZaIi+l4wbCnyZp/OQK8Xik/Zv52XrU/teH29oQLe1oYT2y3HEkR4UWrpYOhlrNuK/s24qTu7GZzIjDB32ZP8EbMeg6KatcWunlUDILdPKkQyv7+0hB7AU7KbDljujZYqrXJGGMx47msFg5sLvBL+df1H/H3Ke4xATKGh5F2yPIfGpkMp7Sugltxf5HKVUiZPe3l50XS9Z4uRxOGWlZkkeloybw4hKOlYbGxs8ePCA8+fPMzc3VxWHrVIBmWg0ytbWFp2dnZw5c4YVXeK3tg9OtlSTEeWRUj1CroEtFGJIws+Xo5Un5CxmE4i4uoE7Uh3Ca2UnEuiQvMnX3MKBgR2ZIEim/OVxgFJl9d67+gDX1dpKvd2LKVgRhPNkfxYKHYmf3zbzJy3V6dWU2NPlgtlspqOjg46OjrQG9cPD8X1Bc3Mzzc3NOJ3OvGMdhsDuE7nmw4NEv7jOzk5cLhfBYLCi41eyIkEIwerqKn6/n6effrrgKkyTrDKr/hhHjB+qyDwqBhXQoT7sZ72+cj0Gs2E5tCutHzHi+si3XxnkuXd8uSLj20whAILRwu1/TEvqNGeEQMGn19OkevKOlV4hl9s4Lj/qQVyJu5bNbW7EqIJyJso/fOxb+f4f/DBySrJLE56kzU7FjFx4H7nDsG5XA4qiJO0bxBWYNjc3mZqaIhwOp/V/yhc8PSzJmKFQ6EBJt71eIYTg0aNHRfUor1aFnBCC6elpNjc3cTgcVdv/5FLz0jSNoaEhGhoaOH36dJK0ykbGaZrGvXv3aGho4NSpU1Vfn2RZTqusCgQCbGxsMDo6iqZpNDc309raSkNDQ9HSlqmylqnylo2NjWlrz4PwX8ffu6FgawqzHO7gB+/8EYkkfqzQbllm0vdm/Er8GV4NppO8SryfQBpMKT3k1unleBZC7rOBOCEXzfAT1kthFDxZP3cqbmmX857TI0/ve82QTxY0/r73FfjMZFvvHz58mLbeNzY2Vl1F4/XaQw6eSFaWjErKIe6FqqplBw9jsRj37t3D4XBw7dq1qizKlTSCCwsLzM/PY7fbK0LGQeFl4IVicXGR5uZmBgbii2/CWMiyvJPhImiM/ASVfKam1GP8gfO9mQ9KEpvtl2id/ULm4/ruZxcmGw/6Sr8HTDv3Y8zUWNT7AjYbktD2tcRZtxdf/ZjovROTil9gZ2nJWLNmVqL7XpsOdHO27W7O8W6K61zlZsZjvVJmo50NL2nHCEpnsYvsspQSYZ5RZ/malj8T5qMBU00Iub0oR+Kk1oRcMTrUqQgEAhWXqzhsqOYGvxKEnBAi2S/u+vXrWCwWFhcXK+6wJexLud+Hz+djeHiY+vp6urq6kCSJn99SCYqDE+jZrPL264b6CobUgSwWeTFWIa2tNMRtYTgcAns3eVp2loQ5sUPIyemNwDWaMRNEiMLWm5DfB5bK9P/JhE9H38hP2/+wauNngldIPGXWuBmt3H30qZDKa1GZAXPlAzHF2iNJknA6nckG9bFYjM3NTZaWlhgfH6euri6ZnJJNOqhWgd1S98SHzbmtBqr9GyUy5cvZC+2tLFhbW6u47auUOoqmaQwPDyNJEu3t7UUHc645/0/mN3+RXnm27LlUDCoQAUe0NnKVK95dUimox0mzuyMDvE3/34QqkERjU+NkbjBSDCGX/7N7I87CCLkiKuRiEStew0mD4qWpYRPhVpDadJaGehlbOc+FzpHkuRaixJu1po8f04J88pMR/tk/s+S9Xq0IuVr32C72ejabje7ubrq7uzEMI1lNMTMzk+z/1NzcjMPh2Pd9HZYKOXjSd7VUFPqcJNrVKIpSVHuBaqh1aZrGyMgIFouFa9eu8fLLL1d0/FRki6UmFF6OHDlCR0dHkqTKRsaFQiGGh4c5cuQI7e2lK2KVg0SSdqLFSWIffP/+ferq6mhpacm5D04gUT2nqiqGYbC0tEQ4HMZisSTJOUmSCEhRTna9hHe7kTc1vADA97/6J2xEW3cHq4sn3yuGwSMlvocd9acXF2gZbk+VXV9uXuqjVyyzN6dQNzoYi8aTYtz6/vv1gmk55+dMxa1Y/qKJHmli32ulSlYm2tIUi2zr/ezsbFL6Mtt6Xwm8Hgm5eIXcE0LuwEFRFKLR/URBofD7/QwPD3Ps2DE6OjoqOLN0VMIIGobBgwcPiEQi3Lhxg5s3M5McpSBfGXihiEQizMzM4HA4OHv2LEKIZCPVBBkHcNv/V7xZKUwXvxCEJCs/1/QBYlJ2+aPpjrPZCbnYLikT7DmPZiqHkIuPFTE3FvU+n82MJHQkSU7LPll29hQ9h0hEAwtEKF42aVzOnKlqyiBZOe7t5nuVbFWHcXxGv8b7lMyVcG1ScRVyAK8Z38pzUu4+cW82jxZEyL0YUXkQkzldppxXuY5SMRInhyVLMhgMfsPLdlUT5RJyqU7U9evXk/dvpau5U8cs5xlZXV3l4cOHXL58mbm5OQzDYCIq8cfeg+P4N4oYc2p17/lL6gSy3EzAsFdlUxqLRUGF+no766IyCT97Ma11ggo2ttNej0qtmMUCSAU0kAOczvqqEIYJfDx8g990/AwKek0dgGCFY4oCiZ/xWPhUW6iyA1O+7TOZTLS3t9Pe3o4QAr/fj9vtZmRkBMMwaGpqwuVy4XQ6ax7kK/WzBYPBqkr1P8Gu/Svl9xFCMDc3x8rKSlplQTXkvCqRjBkIBBgaGuLo0aOYTCbcbnfRY5hlE1PKj9Ir3l/WXCqKnUiFEuoBqi9vuuzZDeL5YnF5JiEUHJshQq0VIOR2KuRCkcL3ANFY7h5yANuBRnDM5R0rvUIuvw/rDrTS4PTSYNsGXUL4ZWg3+PyH38XJn5rAIu3GVkxoxEgPDK89X8d7/7VgdTXE+96XuyKqVoRcLUmrQqrDc0GWZZqampIyg4n+TzMzMwSDwbTquUSw/aATcrUmRF9PSNiffMkWCfKpp6en6HY1lfbvQqEQd+/epbe3l56e3VhVtZ73TAUeW1tbjI2NceHCBZxOZzLmmI2M83g8yUSchoaGis+xFKiqSltbG21tbUkViY2NDYaGhgCSCdy5ejAnKiYTSm+JuHPi+3jR+1WOt8YweUBt0vjQ5H/ii+t7pB+bDHShcEWd4gW5DadhZnaPPfOxH0pKhdwEvXw7Y/vOcevxqjYZwUIGVu+0WliC/qJ+iUU9v9R9rzKy7zVDKr1Crty1N9t6Pzs7SyAQwOl0Jgm6WvegPkxVzU96yB1QlONAJfqbXbx4MaN2aiUNSrlGMBqNMjw8TFNTE2fOnKm4oatEhVyiyXhHR0dyvEyGMaxHOK7/zN5ku7LwW85/w6LanfOcVzuPs1/McgfR3ajedGtrtrMKQmhrCwC/VNzitm01g6HF1SlTfoqFluIr5CQ5vli5fUCRfuaE1ARip7lDCszyfuL7rqcXs5xb8/nzxmmQ/QipEUl40o41l0DIfSz8rTxn+7Wc51xTx4DvKGi8j/pN/GJTeVHdSjpK+SROEqScpmk1Mdrl9BE4LBk3hxHl2L5AIMDw8DD9/f37eqVWIyhZTkJKQk56e3ubwcFBTCZTMsj5U5sKWoWk/SqBo0S5kyMppBI4Ia8CFlapRnUccdlkQJIEXqM61WcTWjxL0ow37fUArdQB0aiOagKRT76wKrNLnY8Fj2jiHeYxPhu9WOWr7eJeTKVPMZjLkEVaKv4xovLVsMKbrJV9titp+yRJor6+nvr6eo4cOYKmaWxtbbGyssKDBw+w2+3EYjEikUi8126VUU7/1Ce2r7pI2KliexAmKgtkWd5XWVCN6oFyfb+EnPTFixdxOp1sbm6WPMdrDd/H4uYv0S3PlzyfimLn0TKHFoHqVym4N3aTbrcju4FY70wjlOf2AWBR435EMFy406VFc0tWAni2m6AAsYn0Crn81nHN3c4x50PscgDVEkWsKsj9Ov5XGrh572nedOkryXNthPYRcpuvtWBIdj7wgU1WVw3+23/LTkTWskKulhXUlSTILBYLXV1ddHV1YRgGXq8Xt9vNo0ePkGUZTdNobGwsSNq5Eignie4bRZ60kp+zEELO7XYzPj7O+fPnaWxsLPoalSTkEhXme+eS8M+qkTi8N1a5sLDAwsIC165dw2KxJFsYZbtvl5eXmZ+f5+rVqwVJfD4OpKpIJHowJ4gbv99PQ0MDLS0tacSNYRiMj48DcPny5bQE28TfUv3ncbtdvK3xS9zxXOUn739w37WbmrfYiLRy1KzhUyw0ufffi+sZ+rVLKRVyI3IP/0pb3JcTMhm5AkCPKpjT9v8+J9TCKuRe1v953nMkBD3S3bTXDDpBKq1PWjWSITKt94le27IsJ5VCcpGwlUQtE/3LxZMeciWimpKVpQQPhRBMTk7i8/mSAb69SMy5Ug9BOeP4fD7u3bvHiRMnqiYBV26FXKJ64cqVKwQCATweT7LJ6N5F7I7/9/lm+VG5U07iC9Y387z9W/Ke9+XOHt6HhJTBUZGCu8Zk9WLxBFgqmh022AQPxQWMtiwqGFp8I5Py+lhD8VUKiXtaqS++6lOTFGSjFUNK7w2nZiDkFsINQBAJI9m3bi90VDzyFRrwoeietGN1ovAS9QQ+En6W37E15tSaPqXsz87Jhr8Iqvx0YwRrGY96NTMX95a8z8/Ps7a2xp07d/JKnFQChWTsZcKToGR1ndJSx15fX2diYoILFy5kzA6sVpVAKWMmNP7tdjsDAwPJzyzLMq9GVf5X8GBtIE1Wa1UrtgD6lVVAZ0o/W5XxLZad6jShs10lQm5Ui5PAewk5r2ihHdB3tiIiD9mqG9XPxp40jvMO852aEnJAxQk5gP+2beFL1sr2yKqm7VNVldbWVlpbWxFCEAwGuXPnDmNjY2ialqyea2hoqMocnhBypaPaAYRS7FQoFGJoaIju7u6MlQUHyfYlst3X1taSctKJ8Ur11SyymVeVH6Vb/PuS3l9xSIAKzcYyqjiFJm3nfUs52Frd9aV8MSeqEkXTzdy/e47jNx6UPb5ViffpLIaQixYg17nldkEBif1phFwBMt7Li91wNN5HruXoKqurncg9MXgFvvY/38LlX71Dgxq30U68eEnfL26NtIGqQkzlQx+Ksbbm53d/N/O693qtkKvWtWRZprGxMUl0RKNRhoaGWFlZYXZ2lvr6+qTvV2xSQqEohXB8UiFXOnLZHyEEs7OzrK+vp9mDUq5RiaSTubk5lpaWMvauqyYhl4hVCiGYmJggGAxy7dq1JGGdrSou0ePO5/MxMDBQ8wqkcmA2m+ns7KSzszMpe7ixscHMzAwmk4nm5mY2NjZwuVwcOXIk4+efCSxzrO0u0ek6Ik02/uXtvyBq7LmHTPH+cUuhHi42evAB5j2FDmahs75HGtmEhiTt9qh+TerBnqEdzcvheAujVtlgLkO8sF8pLB54U/umvOe4ZAOLFEh7rdT+cVB9u5K63idI2AQ55/f7q7reH7Y1+4lk5QFFsQ5ULBZjeHgYp9OZFuDLNu7j1sFeW1tjamqKS5cu7XPwK9FDIYFSnbxED6LNzU0GBwdRVZVQKMTa2hoWi4XW1ta0jcOWtsWA8SsVq45bUDr5jYZ/W9C5m1Yr0aZTWLb2O16G34MMCElm/ER5mdcmI56hozcUl3K5aVXAiOEP+GnaSTQUip0pR/FSKoaQQIJgCZKVADHRjkJ+Qg4kdL2NU4qbB3r2zzvJNa5Jr+573SyWiEd/C3fUYpiY4e2c4C+zntMlFe5cbxoyfxdU+e4yesnVygmUZRmHw4HL5eLYsWMZJU4S1XWV2nDqul7S5j8YDH7DByUPElKbbg8ODmbVpa9G0+9SxkzIsmSq4pNlmQ+GnZWcYtlQEYxHq78GdMkrIPzc0c9VZfzdhJUYblEdQm5RNCCwo4h08ZN5n42T9WCz10MB2zq9BtWRz0ef5V3mysmDF4rxmIwJQayCn/F2VOEzQZVvs1dOHq5Wtk+SJOx2O2azmatXr6JpGh6Ph7W1NSYnJ7FarUmHtVLSK0/kmg8uivX9CqksqIZcs6IoxGL75d5zwTAMRkdHkSQpTU46Mcdy7POA8/9ieeuX6ZSLV6eoClRQwm7MMReaubqE3OJCZ9q/Gx0eNrxtfO2lN3HyB8YwpPKCPGY17iMFQ0VIVkbzS1a6VzO3EdiLdEIu//nrSx3EhIpJ0nB1r7PysAfpcjywakRMfOkLb+M73/E3ADREPcxJPcg77Rz0kIRnug1UDXAAXj72MZ3VVS+f+ET9vtjK67FCrpbkn9lsxmKxcOrUKSwWS7KaYmFhASBZTVFfv/+7ryUSKi5PUDyy2bREewGz2bzPHlTqGoXCMAzu37+PrusMDg5m3B9Vw4dMHTsWi3Hnzh3q6+u5fPkyQoic/eISVfFWq5XLly8f6urNvbKH29vb3Lt3D1VVWV1dJRqN0tLSQlNTU9p98mrgCzSJNt7Z8jzvv/v7TPhP7x/cBq3WNaY2TqMSJ9SWguk+YJdJMLvnbe0prQcM0cK67MDE/v3F5wJxQs6W5evvKpCQuxXLn4zareyX5y9VrhJq37/TbDbT0dFBR0dHUsLU7XYXvN4XS7LV0m6WiyeE3AFFMcYlUWl2/PjxvE08S5VDqRQSwdOtrS2uX7+eMXhaCZnJBEqpYjQMg5GREVRVTZKbhmHQ0NDAxYsXk31AdF3H5XLR0tLCA+PXeau8VZE5x1D5hcYfIyQXTlittF+gPwMhJ/s3AYh2nSVU5l5S1ePOt9dcHJEWMMc3MQ77rjMXdhxHSCX0yNgJ4gWK1atMzEW0sTfcrUqZgwrBaBfnTCs5CbkXxQDXpP1BTZkAvZKH+SIDv38X+1b+oyk7IVcvHlAM0ffRgOlQEHJ7r5VN4qSSJe+lfrYnkpUHB6mVZolswmw4CH10EsHTbFV8X5Oc3DQOltzIOZPBcKz6m8RWeQVJrPHVaHUIOVIIuY0qEXIA/lgzDjVd7njbFCdepQIzdmI1cCA+Fn6O91v/ourX2YsNITNo1rkVrew99XPbZt5l05Ar9NUZhlGzbONUW6SqarKvhhCCUCiE2+1mYmKCaDRKY2Njsnqu1EztUrO8n9i+6qNQO1VMZcFBqJALh8MMDQ3R2dlJb2/vvn1bucFOq2LhNeU/0Sl+pOQxKoqdpcMZUQlmzhGqCGRDZ345vR93g8PLhrcNn7+RpsA27rryeqaa1LjtDBXhREYiO/djjp/UvdiKISRkKbePbojdtUoUUCGHkNmKNdFmXqe5zQ0xKZ4saxEQkRj59ACDb3iZnsZFTGYdY1wgn4mP63mtDmGooMZIEHIAn/+84M1v9vKlL9WjKLt2/EmFXPlIJIhIkkRDQwMNDQ0cPXqUWCyWJOd8Ph91dXXJ5JRsiXeFoJTfy+/3f0Mlo1RDsjIVicTEvr4+urtzt2UpBOXYj2g0yt27d2ltbc1aiVXuNfJB0zTm5uY4efJksmIsFxkXiUQYHh6ms7Mzrcfd6wGBQID79+9z9uxZXC4Xuq6ztbWVVMGx2+1xaUtXM/WNf0/T5jZf930nH579gcwDNoCMgSpkjB1C657flXZKk8o+Qq4lpbLdG+vkuLKRVjEHYIhGXgofAyBbelJbnvY38XEk7sRcec/rkr37XjtMhFwqUiVMC13vi5nvYauQA54QcqWimpuwQh2o5eVlZmZmMlaaZUI1DUo+JLJhLBYLAwMDWR+qSpaFF/t5I5EId+/epbOzk76+vn394urq6qirq6O/v59YLIbb7WZ4+Q7f1PG7Zc81gT+q/1dMmItbYMc7T9M/nv6aptShirhkpfvoqbLnpRjxLEmPuciAsSShq3ZESmrjVn1pfYKknUxPf4l6ybM+K5f2xGKVjBVysBnp4ri6AmSX9PqMfp1/r6xlPHZJnWc+Vlzg9zeD7+I/NMhIWbxYGS/nxQyj0rGCxvtaRGUyJnHSVJphqqWxzla5m0niJEHOlVPy/qSHXOk4CBlHfr+f4eFhjh49SmdnZ97zS8noL2TMQuyLEIK5uTlWVlYySqEAGAL+eyENVWoMp1ybTW0dbiSxxZei5duqXJBEmLUqSVYCxEy9yCxQL4L4pHjiyHqRv2u4kKBjmZgzmlDQsBElRBUjxhkQq8ItdV9T+HhQ5f8sIwElFQchAJqonrPb7fT29qLrOh6Ph42NDR4+fIjZbE7aPru98CSlUlUy/H4/rWX2In6C3CjE99M0jdHRUUwmU0GVBY+7Onx7e5uRkRHOnDmDy5U56FSJOV51vpfVrV+hXV7Jf3K1sROtqAtrUJq7UhCUqIHYE8Rx2HZbFWhLJijTpCpq/P4KR2zoQkaR8v9OQf/OXjzHWm9oKkFhp26PBNe+81Ir5Aq8RTa8rbS1rNPojCfKijUVqUtHzMR/mM/+4rfxAx/8MLIqUNeicCa+J9t8dWdvoArizQCtQDwIe+cOXLvm5aWXnNhs8Tk9qZCr3vVMJhPt7e20t7cjhMDv9ycTog3DSCZm1qL33BO55tKx16blay9Q6jVKsR9er5d79+5x6tSpvHubasVPt7a2WFhYoLu7m87OzrSYY6b72ufzMTo6yqlTp2huLi/Z4qDB4/Fw//59Lly4QH193HAqipKWpBYMBllfX+fvx79C3bEovbZF/uWt/0XGRHUBNIEuFE5v6fhOB2gyrCzH0pNLrJLYZ6vaTbvVaFuil1PhR+x1lbb1y8m/3XrmNahZzl8hd994O9si/5rbo2zse+2wEnJ7Uch673Q6C55vJBJ5UtVcRRwoQq6ayOeUGYbB5OQkgUCAGzduFJzJW41MyUIQCoW4e/cuvb29ebM5Kmn0iqm28/l8DA8Pc/r06eTCn8swmkwmOjo6WDT/JFapMg12XrFc4xOO7yz6fS93HuXte16TbS7YaUg6e7z8IIpixIPZWyXI/OlmJ9FwBMvO2jhnKW0+iX5ufrm0jbGvfj+RZWiZncGlYDd9ztyO/T8aJ0H2YAgzspRO7J1TFvls7FJR85s1XGzxNM18Pes5b5SGGKUwQg7gjwNmfr6xtPuz1k5gIQRZqu54KSXvCZRDyCU2ik9QHeSTLU709rx48WLBv0W1gpL57KlhGIyNjSGEYHBwMOtn+phPZoLHU7meCwsV7veVCRI6JgRh6SiRKn0HSclKEWG5ioScT+qkWUC72EwSco+izWAFvz9AQwH+QbBGOVMPAi7ebXqNv4y9oTYX3MFQTKZTMViu8L31i9sW/rldw1wBk1VrQq4QW6QoCi6XK0lqJKrnpqamCIfDNDY20tzcTFNTU87xyrF9R4+Wlkz1esHj7iFXSmVBNfy+QgOgS0tLPHr0iKtXr+YkjSthn22KldeUH6Fd/FhZ41QECiBBXdSf99RyEA3u98eslt0s/rmxIzSccpd1DUlJ3PMSYd2GQ81NoAFEozu/dR732xt1UmfNPZ6eEqgURmHP3+paJ+daxmiweQAwVhWkPi1JyK35+rjzyfNc+54R7FKQIDuE3PCOb5oMqdSRIOQApqclLlzw8sorTlwu+UmFXI2uJ0kS9fX11NfXc+TIEWKxGFtbWywtLTE+Pp5sedDc3JyzWrjUqolAIPANVSFXSSTsT6HtBUpBKWpYKysrTE9Pc+XKlYJ+22r4kAn72NfXh8lkQtO05LUyYX19Pen7vt7ux9XVVWZnZ7l69WrGpFWI/84OhwOHw8HNjU/RGV7ll8b+gJc9WZIeZXDYfHi1BjqmDbzPRumNdOw/TZb2tRNoSalGc5tPcEna3Pe+4c0T8XkhsvrKdVL+CrmXtXfnPQegS97fw86QSs+4OUiEXCr2rveaprG5ucnKygper5eRkZFkrC/beu/3+4tKVHzcEEhoTyrkDh5yOVCJJrjNzc1cvXq1qM1gpRqfFoPNzU3u37+fs8dBKipp9BKB3XxI9LS7fPkydXV16LqefF+uxWoiNMyzcmVknzbkZn654UfinaiLxEutbRiqHVkL7r5o2g1Ujx0vr38cgKLHSZ31UuROHU3UpfTPmXKUR8h5S+wh94hWnt3zmpyFTJ3xd3O9eTjvfDblSzjFPBZpOu3YcaW0XhYv6O/i3Up2Qu6aNAyicNL2zwIqP9kQwVKCz1hK8+tSUYpEWCkl7wmUGpSMRqMVdSSeYD8SRNfee08IwdTUFF6vl8HBwaIqIh+HZGUkEmFoaIi2tjb6+/uz2uqwAT+7dfC2Nz2KwaxW/ef/nHwfWXKyyvEqXiXurEuEWdKrl1W6EnHRb4Zec4CpnWKtdXMvADZbwsnMvRgHalAhB/CKuM4z2k3+ktoScgKJ46pecULukS7zEb+Jf1NffiVsLZNRSq1Ys9ls9PT00NPTg2EYeDweNjc3mZmZwWQyJR1Wu92e9lme9JArD6UE/wpFLjtVamXB46iQE0Lw4MEDQqFQsg93LeZ4xfmvWd/6NVrlzMoVNYUKin8Rqphos73duO81U0pGwssvP83b/+lnyrqGkbJWBDV7YYRcpDBCbjvYSJc1dwWBYaT2kCtsTV6a64VzYJNCmOxhYqtmlOtRjK/snvPlF97F+bc/oKltmyDNCAO2xnfUFpK3q5U4u5pa4SNx6ZKXl16qf1IhVyEU+9lMJhNtbW20tbUhhCAQCOB2uxkbG0PXdZqammhubqahoSHts5T62b7RbF+lJSsTspA2my1ve4Fqo1Q/spLtdIQQTE5O4vf7GRwcZHl5mfX1dZxOZ8ZKzITKysbGBteuXXtsbYeqhbm5OdbX1xkYGCjos8UMDas+zOfn386M/i1o2doBmKHdusJyqIsjPh8xIBJu3HdaOMP93izv9gKfET30iwX2XmZMikcU2/UIK0pmEtFG/or9W9rTec8B6JUfpf1bYEVIvQW9NxMOKiG3F6qq0tbWlvRl+vv72dzcZGxsDE3TaGpqSkr5Jz7PYatqjveQO3hxoGw4UHfN45Cs9Hq93Lp1iyNHjnD8+PGi51CN5t65SK/5+XkmJia4du1aQWRcvvGKRSFO48zMDI8ePeL69es4HI4kGSdJUt6FKhr4r3n17wuBjswvN/4I20pp5fuaorDmSK+aEjs96GKtx9ja2zitBCQJOUvxC0bUUpcWg5xuK00zXOzc79tSaRvjcWm/XE6WRByGNlqp0+fzjjnBNXT2V1z0ywtFzw/gw+Fvy3n8rDye8/heuA2Zz4YO/iJfapAwFYmS93PnznHjxg36+voIh8OMjIxw+/Ztpqen2d7eTla/lrIRqSVJeVBR7cCAqqr77FQsFuO1115DCFHwpj0Vta4S8Hq93L59m2PHjuXsSwDwe16FBe3xy4DuRb9aG7nKAWUEVa5n2jhTg6uFmKtihdyjUHzsDnU3u3Jai2dvpvaeyQV/jXKm/tr4Zp5tLC1xpFxMxWTkfNHaEvCrXjOBCnx/B7FCLhcSvVVPnDjB4OAgZ86cQVVVpqenuXXrFg8ePGB9fR1N057INR9gZLJTicqC2dlZBgcHi5b5qoa9zuVLJmy1qqpcuXKloESrShFyDsXOsHxw+sjVaQugV2//vbSx35fS1N2s8ImHZ6mP+fadUwx0eXf+Qa2wjPNQKH8POQCPN78tTushV2CFXGC7gaBhQ5LA1boKETle7JailxzUGnjhT5/GddyLEQD/Ayux4E4Ju5p6nf2f2eeTuHbNx+SkWjNC7vVaIVcuEu1E+vv7uXr1KleuXMHpdLK2tsbt27e5d+8ei4uLhMPhkm3fYQvuHiRomsbU1BTt7e2cOXPmsd5bmqZx584dDMMo2o+sVGxS0zTu3r2LEIIrV64gSRKtra20tLQwPT3Nyy+/zPj4OG63O9lL7v79+/j9fq5evfq6IuMSiTter7eoz/b1rdvoXvitkf/Gei6bUAdN5k3UbRVzY7xSbT6w3+Z4Mrgizcpu4smk0ks3+xNHvhC+BkC3LbONlzBQxXqujwLArVhhqlfd8lTavw3pOEilP0+1TPSoBHRdR1VV6urq6Ovr4+rVq1y9epWGhoa09f5v/uZvmJycLDqJ4nOf+xynT5/mxIkT/NIv/dK+4x/60IeQJGlMkqRhSZK+KElSf6U+G8R7yBX73+PCwY8qVwiZHpBEaXOh5dWZUM0qgb1ZSOPj42iaxuDgYFEboEpXyGXLaDEMg9HRUWRZ5tq1a0ljm6uRagJCCL4099d8e+OXKjLPv3R8F3csV8oaY61/gI7hkZRX4o+L50hlgpyyEUHIdkJqCVVFljqEHtdjFrKFcUepZcTx32RTKm1j/EBuAqGAtPsMyFLmbPqx4DHqC2jG+qK4xlW+su/1Tml/aXkh+Gz0ItG6fsziUcbj/aaJfaX1+fBRv4l/Zq9Mb51qodJOYD6Jk2g0ysbGBm1tbTklTlJxGJvEHkbstVM+n4979+5x7NgxOjr2y00UglpKViZ6u+aT6QLw6PCrWwdTpqBW0oln1PhaOaSfq9o1JAQCCQjyqIoVcluOuHxIm7zbEHxKT1SEF7Z+RJAwC4NoGY5WIXhFO0Ij+2VYaoEVQ+aqSedOrLL3/roh87t+Mz/qzNwbtlAcdokwq9VKV1cXXV1dGIbB9vY2m5ubPHr0iFgsRl1dHY2NjTgcjoId8ieEXPWxt9eppmncu3fvQFQWpCKbPU30dj1+/Djt7e1lj1cKrjT8ABtbv0aLvL/fSk2hgkMsYOKNxCgtQS8fHq6c2PdaYE+PbctGFF/+NrtZEUvx30OxwmIPweBOpmMek7e12QxHcp+T2kNOZOnTkwnukAu7Y4GG9XVW6Ed4ZbAZoO1+nptjb+Hqo7sIv8bmcOPum9XU56wO2E9qRiIS73tfH+3tMd7ylvJVaHIhEZeoBWp5rWpAVVVaW1tpbW1N9pxyu92Mj48TiUQwDIPNzU0aGxsLXk+f2L7SsLa2xtLSEp2dnXR1dT3WuSTknvv7+0uaSyVsVKJ9T19fX3JvliAZuru76e7uxjAMtra22NjY4MGDB0SjUZqbmzl9+vSBsf+VgK7rjI6OYrfbOXXqVFFrzrL3ZX7x1s9xqlnmpjfHd9IQrzzqnDXTcDJGUMCrnv0JTcsZSL0maXfNvyv18X9L6YScEHa+EDwLgCWLoTsuryJliTEmEBb13IsV1nqjRx5N+3c5cpVw+JIvMiXSZ1rvv/SlL/HJT36SxcVF/vN//s+8853v5LnnnssZ69N1nfe///18/vOfp6enh8HBQd797ndz7txuXOLq1asA14UQQUmS3gf8CvC9lfhs8Qq5gxkLyoTDc9dUEInsiLW1NQYHB8sqm6+FbFc0GuX27dvYbDYuXrxYdDZSpXvIZRorMUen08m5c+eKIuN0XefO8F2O1/33iszxkdzDR+v/ZdnjjHXvId52ZD4WjpXhiaVA1iPoptICmWHLblA64jiGXmI2eEyL37ubJVbIGZKCLNK1piUyS1bOhZuxW/L3XvuUfg05RWs6gRap1MoDiRHjnVmPtpimsx7Lhi9HVB7GDraDVe2NQULi5OzZs9y4cQOLxYKu64yNjXH79m0ePnzI1tZW3rUn3/rwBOUj1U6trKxw7949Ll26VDIZt3fMSmGvfRFCMDExwfLyMjdu3ChIv/zXPAqbBWZ91xJ2STAaq82Wq0ebIRR085VQec5FbgjABljZFtVr9Dyrx+/RFmnXJswZjQhU8pYLpKBOqg0b6jXsuKT8EmTVgFIBdYFM+E2vmc0yH/VaOqqlVmsXClmWaWpq4vjx41y/fp22tjbMZjOzs7O88sorSf8ilQjKhCdByThqpY4SCAS4devWgags2ItM1eHr6+sMDw9z8eLFosg4qKwMaJ3i4OXwD1ZkrLKggkQUR7R6fUxGFi/ue81DuiSK+2F5PcQjcopkZazACrnADiGXx4xtru1XLdmLVEKOIvZKS1+J34NNTfEeemJVQT6RbhgMzHzxz96GaSvK5t2W3QNphJwCZJZS0XWZf/pPQ3ziE5XpI58NtSTJXk8qIImeU319fVy5coUzZ85gsVjY2Njg9u3bDA8Ps7CwQCgUyjnON5rtK/deS0gyzs3Ncfz48cde1eV2u7lz5w7nzp0rmRgsNzbp8Xh47bXXOHPmDF1dXUk1LlmW075vWZZxuVz09vYiSRLHjh3D6XRy7949bt26xfT0ND6f71AnCMdiMe7cuZNUdSjmfvPG/Pzd5CUeek/gcEAsm4yxABpBFwqrn3Rg6o7QbNjZ3lPx7NSjBDOM0SDH+78KoXBX6qSB9Jie37iYJFC0LG0ILpjzJ/W/qn8XsTxtDBLolYbS/m1I+xNyisFhI+TyqYkk1vsf/uEf5qd/+qf57u/+bt761rfyqU99ih/7sdy9hV955RVOnDjBsWPHMJvNvOc97+FTn/pU2jlvectbEEIkekO9DPSU+ZGSSPSQK/a/x4UDVSFXi81RogdNS0sLZ86cKfua1agSSHXMfD4fw8PDnDp1itbW0pyAShNye41WIoPz5MmTSUY90XA2X7A9HA4zPDxMsO8ez6m5+4sVAiHBL9b/Jwyp/Ifqq139vCf1hR3yauxEZZxB2QgTNZUm9RWyOCAUd4q2646UPIdIVAMbrMRMJa8GmmhHTik9l+RslWMSwlCIW/Xs98TXjWMY0va+152idCmwv4p+GwOW/5HxmFX1cFxZ56Fe3PP1JwETP9NYXtVANVEJycpCkXjO+/v7kw1jt7a2WFtbY3JyEpvNluy/k9pcWNf1J2RcDaAoCpqm8eDBAwKBQNH94rKNWU3JSk3TGBoawul0FtzbdUGD39k+mBlR50wGt6O1mdsJ2yZWJcQXAxfytVcrGRICJBt6Ffv5AEzqcWfflVIhJ5DRJRcShVcp1yty2aRSIbhnnOE7La/yh+E3Vf9ie3AnqtAiG2wYlXUIt4XEf/dZ+LnG0oOkh02yshhIkoTL5aKlpQUhBF6vF7fbzdzcXFL60uVyUVdXl7aOfaMFJR8HEnYq0df6woULOJ0V0JyvMFKrwxPS/263m+vXr5fUY7fS+6rOyD9j0/o/aJYfTwUwEE8hlqE+DJ5q5IAIwZ35gX0vrxvp2fb3XrvEhefulnyZsLTrbIUKJuR2MtHzxIw3lvL7MYaRIllZRIXcyko38CpN3VuwCMaqinIqAvdJ22c8WBmga3GWzdEUElndu/bXAeGM1xFC4r3vDbG+bvC+91Un2eeJZGVlIElSsiIH4lVTm5ubTExMEIlEaGxsxOVy0djYmGaTA4HAN1QPuXIQi8UYHh6mvr6ea9eusb6+Tjic+dmpNPZK8CV6r62srHD9+vWC1XAyoZzY5PLyMrOzs1y9ehWbzZaMOWZ7zjY3N3nw4AHnz59P2v8jR44QjUZxu93MzMwQCARobGyktbWVpqammu4hy0EoFGJ4eJhjx44VFSd2u0NMTrp5MQCfmv5WWqwit1ylCmY1goipyIsS0cYAjieeK0QAAQAASURBVFjjvtO6bQr7U+rBsfOqThcRWcW6h5Cbi11J/u0RmX/HE0p+pawvep7New5AvWTQIKePZ8jfeBVyhd7ngUCApqYm3vWud/Gud70r7/mLi4v09u724+vp6eHmzZu53vL/AH9f0GQKxGHqIXd4ZloB6LrO7du3OX36NC0tLfnfUACqVSWg6zorKytMT0+XJamZGK+SkpWpY62vrzM5OcmlS5eoq6tDCIGmacnr5oLX62V0dJQjp49gkf6visxv0dHGpO1kRWKQE04nur0DJbjTQDQaRXd2sNSSm1AqFJIRJmpqLOm9AasNdjZJK/WlJxTY7A4QsGUqrdcegJ+2tPxRScpOUoViLo7Im8waubI4Jdb0E7QbEjbTbjaMTZQmWQnwu8G38gsWOzLBjMffZhrlof7mosb8WMDEf22IYj6gfNLjbCSeqeR9c3OT8fFxYrEYDQ0NTExMlFSh/LnPfY4f/uEfRtd1/vW//tf8+I//eNrxD33oQ/zhH/5hcg4f+chH6O+vqCx1xVELUnJ8fJy2traCya18qJZkZSwWIxAIMDQ0VLSk5s9tqoSyZfc9ZpirVL2UCW3yOppkxStVr5IABAIbMQqTBikVY1qckGuS0l28KK1YROF7L1uNvv9PRZ/mn1leeSyEnI7EGZPOC5HKr/sf9pv4t/VROpXSvsfDLlmZC6lOrSRJNDQ00NDQwLFjx4hGo2xubjI3N4ff76e+vp75+XmuXLlCIBCgvr645+f1aP+qCVmWcbvdeL3eksmtbKhkv5BEMoqu64yMjGAymQ6UpKZDdnAz9kO80/KLj3ciKtRFq1M9ZdI0gtH9BHlET086efHmc1wy7mDIpf324ZTfNFhgtV/AX1iFXMTvICwsWKXs35G+V7KywFtsw9KNEZNoOroNrwABGanFAA/sbft9++vPElxuJJlwrsikJ2NaiR/MZsMlPvCBCPPzET74wYaK75Fr2eun1ravltgb0LXb7djtdnp6etB1ne3tbdxuN9PT05hMJgKBAE6nE7/fX7RdOuy2r5Sq5UTCe6ovVI24YyYkfLzE72sYBmNjYwAMDg6WfU+X4kMKIZiamsLr9TI4OIgkSWiahiRJWeezuLjI0tISAwMD+whEs9lMZ2cnnZ2dGIaBx+NhfX2dqakprFYrLS0ttLa2lkU8VhOJOOq5c+ey9sLd3o5w//4GY2Px/1ZW/ITDGgsLPsbGNnjLf/0uaJA406xx05uDnLFCm2UFZdlGZ69g2xrA5t3fc9WZyLvfAzm4Ag7YjHRgVWPIpFe73Q1fAeLJnvNZesAfM61kn98OxszfRBahrjR0KvtPMqST+d+YA693Qq5aCYSSJP1L4DrwTZUa87BJVn7DEHILCwuEw2GeeeaZimblyLKcJKAqBUmSmJ2dJRwOV6SSoRqSlUIIHj16xNraGtevX8dkMiXLxQuRoFtdXWV2dpbLly8zFPsw38xc2XOLWmW+JL2Ziu2xJQl3+yXaZnYMQDiI98h5KnUByQgTNpeWqRuw7FYZzdaXLjsndpyjDbn0RdZNa7qgSw59Z0+0m/PmVWbDuWVVHnCddiUIKQZbZR2rCBOWMkud5IIPG0u8lR4+k/H4G0yj/I/wm4sac92Q+fuQyncc0F5yB2VjkCh5dzgc9Pb2ous6i4uLfOpTn+InfuIniMVi/O7v/i7vfOc7OXr0aM6xCtWkvn37Nna7nd/7vd/jx37sx/jLv/zLan/MslFJialUeL1eVlZW6Onp4cSJ8uQYUlGtZBSfz8fS0hIXL14sqpLhflTiY77Hf79nw3SN5CoBHFKILY5X+SoCJAsR0VjVq4zrrQhUGvYQckFasOIueBxrjXjaT0Uu8QH7X9fmYhnwSKvOfRYSEr+0beY3mksLhr+eJCszXS+bU2s2m+no6KCjowMhBD6fj09/+tP83M/9HBsbG/z6r/863/qt38r169fzOsavV/tXrcB4LBZjamoKwzCSfa0rhYRaSKXGTPiSt27doru7Oy2z+CBAlmW6tO/FY/o9GmXP45uICo7IVlWG1kJZ9ht7tjmRqA2LTybUUNp+TZF3BwxG8hNyupCJhFIIuTy3nC9Wj9WcfZ02UiuohQSSiP8/3zxUM5sPnLRc2MZkBInJdoQhQUhAU/r7fT4XzPrh+M53KkmgaqClhp3sZOoltwuJ3/5twcTELD//8xFcLhdNTU2oavmhq9drgkitq8Nz2T5FUWhubqa5Od6aIxQK8fzzz/MLv/ALPHr0iLNnz9LU1MRb3/rWvHG516vty4VEUv7FixfTEndUVa05IReJRLh79y4dHR309fU9lqROXde5d+8eVquVq1evIoTIGXNMkHfBYJCBgYG8z0VCzSBxvwYCAdbX17l37x6GYeByuWhtbaW+vv5AKPtsbGwwNTXF5cuXsdvt+P1RxsfdSeJtfHyDtbUgsZhBQ4MFh8PE0pKf+/c3SA01KKb4eupwQGwrx+eqgzrVj/Gik6a+MEFZYz2wv+2OSRYZ8yw6dkzBlnyEs7EFJDn9t/9iMF6d3qUIFvXM62Wvmp+Qu6UVtnfqlvfbnkoQcpWwT7VCMYSc3+8vij/p7u5mfn4++e+FhQW6u/cTuJIkfQvwX4FvEkJULNvqsBFyBzd6VSEYhsHo6Chut5v6+vqKZzlk0v0vB5qm4fF40HWdgYGBiuhEV6NCbnR0FL/fnyTjCu0Xl5BiWVxcZGBggIg5zDXjV8uel65IhOsV7rFf/78cPOw4m/xbCnhZOlYheVshQA8SMJVWXeCz7Gb53nfm7xmQdRrICGS2pNJlQZZJ7yFHjgq55VA3J9X8GtBfF9dA2p/JfEktvUrueS17ifU55X5JY/7PQOHPZ60be9c6KFkoFEWhr6+PP/iDP+ATn/gEZ8+eRQjB//v//r8MDAzw4Q9/OOt7C9WkTvQae8Mb3sDCwkJVP89BxtLSEiMjI3R3d1c8s6nShJwQgvX1dTY3N7l+/XrRsmI/6VbQq6XPWCZOqgYrFZYRzAU7EWbEmfwnlgEJAZgJ7U2NrzDi8pStNKRIVgL4aAVy9+hKRa0qmeMOwONzyOZ1mYum6gRr/jRgYqrE3qmv96BkIZ9NkiScTic//uM/zgsvvEBzczPnz5/n93//97l69Srf//3fnzMp44n9Kxx+vz/ZL26vVGglkCoxWQl4PB78fj+nT58+cGQcxO9dJazwj75/9XgnooItmj8oVwq8nizBpgw5d8H5xpKvoyq7A4YKIOQienFxi+1wY87jqZKVACiFxwfWZuKSaM1y3I8TayrS6QxfkBDgFRBIsdHq3usUsieVeP75Zn7sx9rY3vZy9+5d7ty5w9zcHIFAoOQkttdzhdxBSUbZC5vNxnd8x3fw2c9+lm/7tm/jrW99Ky+88AJvectbeNvb3sbDhw+zvvcbyfYlemcvLi4yODi4r4q+VhVyietsb29z+/ZtTpw4QX9/f0WTUAqNTYbDYW7dukVLSwunT5/OS8bpus7w8DCSJHHp0qWS9oMOh4MjR45w/fp1rl69isPh4NGjR7z88suMjY2xvr5ek99hL0KhGM8/f48/+IOX+fKXNf6//+/rvOc9f8s//+ef5L/8l3/kr/5qjLGxdQKBGLIs0dNTz+Kij1BIo7nZyt4lMxIzaLEJNvL1E20CQ5cY/WgHzuN+JAF3fPv9v2wqyHYp3kNu3Xycy2p6MqVhqHzGewEAl8ju13XIuW2/2+hnWi8sad8ZTC8EMegEqTzFl4OSCF8oiq2QK0bRY3BwkMnJSWZmZohGo3z84x/n3e9+d9o5d+7cAfh94N1CiLXCZ14YnvSQKxGV3hyFw2GGhoZob2+nv7+fV199FV3XK8peV9IwBoNBhoaGcDgc9PT0PBajlw+xWIxgMEh3d3dSCqBQMi5R7q6qKleuXEGWZR5s/TpvLTPbUgChBgUkiSlzZasCvtbQwdM7f0uBLSaPV0aey2SAhIHfXFq1ps8aJ6uEpDJapORRKuIVcnVlVf1N6U08k7KGCbITcrP+Hvrr8jvTn+Yp/j9pP1F7QV3kFf1YSfP8reC38V7nv814rE8qjZD7UlhlVpM4ouZ3CmvpAELtg5KlwO/3097ezvvf/37e//73Ew6H2djYyHp+sZrUf/RHf8Q73/nOis75MMAwDCYmJgiFQty4cYOlpaWqVLNVyq7ous7o6CixWIyOjo6iE2deDEl8Jnhw7/UORTBZo0LaJtxYJMFI7Fz+k8uCQGDGT2OVrwNhOqjb05VgW7hyJn/shVJDrnbJaKJP3mLOqC5ZmQ32Kslzakh80Gvhf7qK71/yeg5KlmJrhRAoisL3fM/38L3f+70IIZiens65R3hi/wrD6uoqDx8+5OLFi5hMJjY3K9/3LOH7VSJpcmFhgYWFBex2O01Nj2fNyIdAIMDKygqXr/4w2/pH91Us1wwK2GNTqOLNaFJlf9cNT2PmAxnMzKORfo5cKK1ST03psx2M5PcBI4kAo0xeyUoAj68RcuQz6XuSgyRZ5GtNl8TaVgfnmKLJsc5q4CjGqoJ8MYb4kimuQpkGGWZCcGHnGdlHyCmAhUL0xb78ZYX3vreFf/zHo8Ri8b5PDx8+JBwOZ+1Tlgu1tke1qpo4SNXhuRAOh3n22Wd59tl4v6fFxcVkZVImvB5sXyEqKNFolOHhYRoaGhgYGMi4H6h0Mkg2yLLMysoKy8vLXL16NUl2VnL8QnzI7e1tRkZGkhWViX5x2WKO4XCY4eFhenp66OrqqshcTSZTUunAMAy2t7dZX1/n4cOHWCwWWltbaWlpwWotXsEpF7zeCF/96iNGR93MzHh49Gib+fkt3O4wXq9Gf7+Tzs46FEVmczPEzIyHcFjnyJEGTp5sIhCI8fzzMwB0ddXz8suLPPVUF6++uoymCXp66tAMONukc9OX5zmuA7svguY3YekOYDfq8Bn79z/+LNXWth1Cblrq5cSeFjQRzhHcUb8ygj6wZo4BuPIQcjeN9+T+DCk40+BP+7c30MHS+jwul6vke/2wEXLF+C7BYLCoCjlVVfnt3/5t3v72t6PrOu9973s5f/48P/VTP8X169d597vfzY/+6I9CPDPnr3ee5TkhxLtzDlwg4hVyB4rmyonDM9MisbW1xdjYGGfOnMHlilcQVSOrpFIVcm63m/HxcS5cuMDKykpFq+4qFThNaFmbzWaOHDmCECKvYUwgscloa2ujr68PgMXIHM9Iv1f2vML1CoYqMxfrw2etbLP2W8dPIpAQshndgKmuyvSPs+2kkCxHS/tdti0mgsEYutpNtCzSRUYvKEsxO8ZJ30QLKUZ6r4CUc33dfHdPfvJrSDmGpOr7MlNPyaVnvN3Ve/FJV6gXd/cda+ZByeP+id/ETzXmDww/jiBhLR3OUsjGvSXwVquVnp7KVKF+7GMf4/bt23zlK1+pyHjVRqUkK6PRKENDQzQ3N3P69Ol4ZruiEIsVXk1UCCpFLicSZzo7O6mvr2d5ebnoMf7r5sHeyiyHoiCXXoVcDG6odzBJFl6Mnc1/clkQIKl4a0A6+ejEIaVXyLmN1uIIuUpPKge+EL3Cd1pe4zdC31zDq+7itYhMg6SzXYVP/cmgyn+sl7lkLm7vUmvJylrKxpQalITddVSSJI4fr1xC2WGzf5WAEILJyUl8Pl9S7j8Wi1UleFkJ388wDB48eEAkEmFwcDBfw/vHAiEEc3NzbGxsxAOcDV18ffPf8s380uOZkAyqWMcUc6GZK0vIza5mkUw3AKsB4d316/aLlzjynrslXSdNsjJUSIXcTpC3wC3X1lYz7FeGSsIQewg5pXBCblWP78+bmt0QALZlpAED1oC+lBMTA8aAxRB02yBj4mIdBTX8Ae7ehYEBLy+/7KS7u5vu7u5k36cEQWexWHC5XLhcLmy27Huu13OF3EGRrMyFvf2IMkmZlYrDavu8Xi8jIyOcOHGCtra2rOepqlrxVjl7IYQgEAgQi8UYHBysyn4q0TM8FxKynVevXsVms+WNOSZ6qp05c6ZqyS2yLNPU1JQcPxgMsr6+zujoKLqu43K5aGlpwel0lrzGjI+7+cQn7nPr1jJf+MIsDQ0WTp1qBiJ0dlo5c6aN7e0IgUCMQCCGYQiEEJw500xDgxVdN/jiFx9hGLtrrqbF7c7Nm0tcvdrOgwduOjvrQFGwOyCaS67SBDIa9nkNl0tg6fKjRBsznurOQshZpbhE5JjUw7uM9L3OYuxy8m97fUNW8ZN6sZTTDr6iFe5zdcvpFXIWx2XksMzU1NShSPSoBKpZIQfwrne9i3e9K12d7Gd/9meTf3/hC18AaC9q0AJx2CQrD3YUqwQIIZifn0828EzdkFWr5005YyacnZWVFa5fv47FYmF9ff3AEXIbGxs8ePCAS5cuce/ePYQQyQ1BvsXH7/cnNxktLS3J11cDP8PJDE01i0HMIhGzxR+4W7EbGTL0ysOWxUqk+TTmiI/wsSMIpTILrUWLG8lwfWNJ75/0x3gw4cbfWt6GwwAiWnlf2kNTC5JQEdLuBtEuhwka+52hIU8P/0bJL1kJEltSL+3SGpLYLW0/Ji+WNdeb2jv4FuXuvtdNLNIpbbMsMjfFzYU/DZj4Lw1RTHn2XQdZSuRxXavYJrGFalJ/4Qtf4IMf/CBf+cpXDmwz5mogkUl46tQpWltbk68rikI4XHxVS7Xh8XgYHR3l7NmzNDc3s729XbSt+ruAzEvhg7sBdhoxHpbQ97JUnFcXQIrxhcj5ql5Hi0WRFPDUoEJuU3TQLKUTtauiFanAQB5UIo2mcHwseIPftv0B8HgIuZgkc8Lw82oZvWGzQSDxM9sW/qY1VNz7ahwAPQxByWLxerV/lbgvYrEYw8PDOJ3OtMoCRVGqErws1/dLJM64XC7OnDlTtWejnOfOMAzu37+PYRgcP36cUCiEYRicsr8PX/C3qZf8+QepBlSoj6iE9qval4X7Szmqyu0ypGyhlpfb8YQaabR5ir6OKu9GGwuRrAzHdp5hmYy9efZiayN3G4N9kpWRwhPBtq2tRLZMNPdswTyABCYJtvckYYqdY6iwpkOrkYWQsxFPlynsWZqZkbhwYZuXX66ntVXd1/cpGAyyubnJgwcPiMViNDU14XK5aGhoSPO/Xq8V248j8dNsLv5BLDa4+3q1fQksLS0xOzvLpUuX8vrE1ZasTNhSSZI4depU1ZKbcsUmE4oBHo+HwcHBZI9VSZKy3t+rq6vMzs4me6rVCna7nf7+fvr7+4nFYmxubjI/P4/P58PpdNLa2orL5SqgR7DBZz4zxWc/O8WdO6usrPiRJAm7XeX8+RYePdpkcTHEU0918cUvzhKNGpw82UR/fwMWi8ydO2tYrfHP7fPFkCSw21XMZgWLRaW+3sLVq+04HCZiMYNr1zpRFAlJMvLLVdrAZdnA8w92eo4aqK1+fOGWfaepCFayuPBmKQDAHamH9/K3acde811I/u3NQaKYtXnIsdy8EruQ/eAedEvT6S8op3MmerS0tNDc3HxgEj0qgWIJuWIq5J6gOBwoQq7cm1jXde7fv48QgsHBwX03WTUcs3IMY0LCMTHfhJGpdDl6ueM9evQoSRiazWaEEMRiMWRZzvubud1uJicnuXDhQtomYyJ0l2fk8prtGjKE6ndv4RGpOgHIlfaL9C2PsNJ9pGJjSqG4Q+YrcXGLuqxsb4WZaiqv18Tc/DZyvTmnvEk+GJKCZLQhpN0SdKdJI5ghVjoVcGHfU+mQDWPSdVrlNRR9l5DrVcoj5D68/U/4lubMmb3fYhnjT8NPZzyWC6uGzOdCKt9uz722PI7MmYOeARoMBosi5FI1qbu7u/n4xz/On//5n6edc+fOHX7oh36Iz33uczmzDF9vWFxcZG5uLqO0SK16DhSDTPMttupAF/HecQcZJxSN10T5smaF4pS6TESYWCwhuaAYyLJENKrzKFT9beSa6KBLSq9iXjJaQUR2ZJfzozoijpmxLTkwacURVpWGx2zL2PuoEvh8WOXFiMIzluLWlINuj2p5vWg0WnQg84n9ywyfz8e9e/c4fvw47e3pybaVqjzfi3JsamK++SohykXis5fy3CUIw5aWFo4cOcLq6iq6rmMYBs0mFzfFv+Gt0q9VYdYFQIW6iMZaZToIJPHqo+vZD2aIwS0vd9N4zFP0ddIkKwupkNOKq5DbWG7NeVzfQ8gZjwQU6krKMuv3m2g+vg0vxV8SPhn6dTDUOGkIOwY38Q8DpsOQdUtiB3wFTgDW12WuXPHx1a/a6OtTkrEIWZax2+3Y7XZ6enrQdZ2trS3W1taYnJzEZrMlq+eeVMhVBqUmoxQrf/Z6sH2Z7re97QUKIb8q2S5gLwKBAENDQxw7doytra2qXQeyfw5d1xkZGcFsNnPlyhVgV4Un03cohGB2dpatrS0GBgYqIiNdKkwmE+3t7bS3tyOESEpbzszMYDKZktKWqaTOxkaQj31shM98ZgJZVvj61+NKUG99az+RiM7w8BovvriI2SzjdJp5+HCLwcEuJEkQiRh86UuPeOMbe+nocKBpgq98ZZ6jRxt4+ukeXnhhnmBQ49lnW/nHf3wEwOnTzfT01GO1qoyNbXCu3szXfXnWJyfYfEFmvnyEa09DpCHA9PrJfad1qoL5LIbKJPkQwsa43Eqztphmz77ovbjzl2BOy74u15k9Oad5O1r4c9+njqf9WxPHicViSTn5xsbGtEQPt9tdUKLHQW8Vk4piCbli4nUHAdWqkJMk6R3AbxDPJvpDIUTGwLIkSd8FfAIYFELczjXmgSLkykE4HObu3bt0dXXR29ubcdGulLxkKkoluyKRCHfv3qWjo4O+vr60+Vba2BZSFp4JhmEwPj6OpmkMDg4iSRKGYdDU1MQrr7xCQ0MDra2tNDc3Z3yg5+fnWVlZYWBgIC3wIATooZ9EVkp3kgUQcqog735vU5bK9o9LYLzzFL2r0zw8XrkAZ6IwcCoo2KP4WBCMBgtCllhylSfzsLISxhQ2QWdZwxATbSjsEnIONQKRTN6yhN9bWKDyq8Y1vkn+alriZJtUHiH3Cemb0GhFZX3fsaeVEf6U4gk5gI8GTAeSkKsVyqmQq4Ymtd/v57u/+7sB6Ovr49Of/nTRczssSKzT0Wg0q7TIQSLkhBA8ePCAUCi0b77F2tM/9smMxw72M2UymwtVZKoIjshLeEVj1a+jKDIWUx0Rpa+YWFpJWDI6uSGn9yyaN1pJK1nIgxq18EtCdjRDYbknVcFDTeGsqnNfq45D8t88Zp5vf7ykYzbUuo8OFE827pVrLgRP7N9+LC8vMzMzk7WyoFpB91JtaqK/XSGVEOUi4UsW+ywkgrIJwlAIgcPhYHZ2FrfbTUtLC52u78cvfo+6naz3mkIFR7Sy1XmqrrLqy+EIZSi2WZ7o4uyx0aKvlSpZGQoWQMiFd/znAn9G33oDmlBQpcz3p7Gnh1xXOyxlPDMz1hbb6HlmDYvhJyLXIVZV5Gs6xotAggsUgnisygBMEBLx5ukZUQd4KaaO3eeTecMbwjz/vI0LO0URuq4niTlZllEUhZaWFlpaWhBCJIOqY2NjBINB6uvrsdvtZUnLFYJSJf1LwWHpIef3+4uqkHs92r5M7QUKQbXupfX1dSYmJrh48SJOp7MkxZJikCnWmYiNdnZ20tvbi2EYOcm4RGGDqqpcuXLlQMVYJEmisbGRxsZGAEKhEOvr69y/f59YLEY0auUf/3GTv//7WYaHN7hxo5PR0TUUReLkyWZMJpnbt5cIh+PeSzRqEI1GOXmyCbvdRCSiEYnEePrpbmw2GbBgGIKLF1tpbLTwta/Nc+NGJ7IMhiF4+ukuVFUhEIgSCmkEAhq9vU70lgaiuSrkBNAMloUoIZ8DTdXwmkPc9e9X6HLlIORU/ETpB6Ce3VieEDKf158BoEsRLOmZf0OXFEDe00s8FePh66zvrf7OgV5pOO3fsukcJsmUTDwC0DQNWZaxWq309vbS29ubM9Gjlmt9JVDM/rAUycrHiWpJVkqSpAC/A7wNWABuSZL0aSHE2J7z6oEfBgrSoj9whFwp2Yybm5vcv38/KXuVDQelh1xCViy1v10qqkHIFTteLBbj7t27uFwujh6N6+onDOOpU6fSMj9Sm5q2trZiNpuZmJggGo0yMDCwb7M2FPgCzyhfKuszRRwKunl3EZmOHSNgrY5z+1LnUb7lnpXx/soZ+s3FeATT4yhRc0WS0BWF9aPlVciFI4JVT/nLgJ/2tOTHOjV7bx+LtR6C+Xvx/a12jZ80pRPJjUW5jfshkJnk7ZzlY/uOHQvfBn6gpHG/EFaY0yT6MkqyxPGEkNuPYp0yKFiT+tChlE1cJBJhaGiI1tZWzp49m3WMahJyxWQax2IxhoaGaGxs5MqVK/veV4ytChnwwQPeO05BMB6t7TPfIntYFEeqfh1pp0/omlFCRkmRmDU6Me1xxGb0ViSiiAK3sVotS+SAkVgn59UVRrWO2l44BQ2SQbW6570cVfn7kMI7bQeD6E/FYchS9fv9JREyr0f7V4rtMwyDyclJAoFAwZUFlUSxflVCgmtrayvZ3y7beZUK6JTi+6W2J6ivr0+2J7BarQwODhKNRnG73aw/Wmey6V/wbueHKzLXoqCCLVKI9H3hMKJ5Ejoz/Fwrr3bDO4q/VmqFnCEUwroFa472DeHwDhtY8G0h49PraVI9GY+KPdUQ7S0qS9njnPuw5u8ERmhWVlkWdYhNGfl4FP6OFEIO4iGmhC+ogdcU//8+m60Q7zdRXOZSJCLxzd8c4m//tp43v1lN9pfSdT35t6IoSZLO4XDgcDjo6+tjenoaXddZWlpifHycurq6ZFC10hU2QojXrWRlqb5fJBIpWlLy9WT7srUXeBxIVJitr68zODiYTKCvdiLnXvvk9Xq5d+8eZ86cobm5OW+/uGg0yvDwMG1tbfT19e07ftBgs9no6+sjFqvnIx+5y9DQQ77ylUWam81cvNjIK68s89RTndy8uUxTk5Xnn59hcLCJ+fkoy8sBOjocHDnSyMyMhzt3VrBaVVRVoru7jtnZbVZXA2xvR2hosNDf7+TKlXYsFgW73UwkEmNiYgu73cSRIw2MjKxjNssEwwZHnA3k4LniiSBmMI3s2K3mME7DTljs33M5ZBHPwcgARfKzRbxXnDmFkIuK46wZ8ThQuypYynLLXTDljv+9Jv8fOY+nwoygVdqtkBPYkJR+FElOrmeGYSTJuYRNAZIyyYlEj0AggNvtZnR0lEAggCzLdHR0VD3RoxIoZv0uVtHqcUMAWnX83xvAlBBiGkCSpI8D3wGM7Tnv54BfBn60kEEPdjQrD1L7r127dg2rNXeflmo0Qi3WYC0tLfHo0aOMsmKpY5ZS0ZYNxTpliezIhPxLYoObahglSUprahoIBNjY2GB4eDgZZD958uS+jaFuGLiiP1lWjEgzSUTt6ePejg1WvH9cAi+3tLLd1EksX5OwImDWDKKaitFY+qQtjQ62z/eUNxFJIqCVr7W9SWsaIefIQcgFNRfdspdFI3fF4bDoJoqRphTjEOURcgD/K/JtnLXsJ+QuOOdhq7QxBRJ/EjDxEw3ZP/cTQm4/gsEgXV1dVZjR6x+J/mvZEjtSUS3HqhhJLL/fz/DwcEZZsQSKsVW/va2wqB/sze5Zk2CkxhV8jVKAF2JP1eBKcYZr1Wis+pWmtE4UU3oZ3rSWkCbJruefimiNCbmPR57muyy3GdXeWdsLp2A4plInCfxZmqyXi5/btvAOa5CD5nM+jgq5YlGsZNcT7CK1suDq1auPJehRjE3VNI2RkRGsVisDAwNZ782E/asUmVys7zc3N8fy8nKyn3kiGJUaEDWbzXR2dtLZ2cla9McJBv8Uu1TjSlkJrNoksjiPIVWmN27An0cmJANH4x5uIaJZsKjFEUmphBxAUHPkJOQi4ZQecgXCG2nISshdMtvSUraVIh+fDXPc72xyrLPsPw5CivvfqUWLApAUEMbOxBNf4DKZ9THrKEVKQNMk3v1uHx/5iJ3v+Z74XsAwjGTcYm+lQ+I/gKampmRQ1e/343a7GR6OV00kAq51dXUVaadSK3v0OCrkSr3eQbfRlUbiPsrVXqDW0HWd0dFRVFXl+vXrab9JNaUx946fqBy/cuUKdrs9LxkXCASSss8tLft7mR1EjI1t8Bu/cYtHj7YBwde+togkQShksLERj/nevLnM+fNOAoEgQsCtW1u8/e3HGBiQWF0NMjOzxfnzraiqhMNhZns7gqJINDZaaWiwMDq6Tn9/Ax5PhLt3V7l2rQOfL8rs7DZveEO8N9pXvzqP3W7CbFZovXKMYX+e/YYZ8Au0cQmbXeDo8WOONmY8VZLJSsjJ+FmXeukwfEgprWtWtSvJvx05ltrTpuXsB4FX9GdzHk9FpxJDlnadQiEf35l8ynxTbEWiICXxH+yufXa7nbq6Ovr7+xkaGsLhcNQk0aMSKCZ2V2oS4eODhF4azdUiSVKqvOSHhRCpmWfd7HTQ3cECkBZ0kSRpAOgVQnxWkqTXNyGXMCKyLKf1X8uFx1khJ4RgYmKCQCCQVVYsgUobwYTUZCFwu92Mj48nS9YT2ZGJeWWDw+FAlmVWVlY4deoUsiwzNzeH3++nsbEx2QzzduDjvEUZzjpOPmyLemRnmL0RoFG5Ov3jAHRF4daZy8BaxcZUohpbIce+z1EMpoJ16I7ymharZhXJVv4C+/lRiR+8tPtvu5KdmFoOdnNGXspLyAEsRho4JluRd6TJzGKJHU+v5Ln+Vugd/LjFhEQ66d3CgyzvKAx/GjDx484oapapPSHk9uNJk9jSMD8/z+LiIgMDAzkbDCdQLUIuMW6++3p9fZ3JyUkuXryYsyKyUHu6qcOvew52BQyAKegDU3V7ue1FnfDyZd/RcpbIImCwWIMKufta1z6pkindhUBCZNISywBPJApyYeRdJTCht9KnFFF2UAUEkXjGrPNipDrPykhM4a+DKt/jqLUgaG4cBlv7xPaVhkQWfbGVBZXuGVWorQqFQty9e5e+vj66u3NLzD8uQi61PUEiKJuJjNuLNnM7Lwd+gLdKv1mR+RYDu7SAYnwzhjJbkfHcnjyJYZl+EkNiZbOT/rbi5qBI6etlSLODZTPr+ZHQHiWVApJLPIFG+h2PMh4z9sh6FUvIBVUnTr2et7/Ly9hfJaYkgUNAQAJH6hwThBzEq+UcxAUy937ftp3zio99CCHx/d8fZG1N8O/+nT259ueqdEgE/BO2or6+nvr6eo4cOUI0GmVzczMZw3A6nbhcLpqbm0uqxK11hVwtq8NLuV41enoeBiTkFXO1F6glUlv9ZKowq0WFnK7rTE9Ps7m5mfxONE1LVrVmgtvtZnJykgsXLhwKguDOnVV+5VdeYn7ei9sdoqennhdfjFeINTVZOXu2Jdk3TlUlJEnGZjM4fbqOhYUQ4+NrKIqCpgkuXGhDVWVee22F/n4nhgGyDD5fmJYWB294QzdLS34aG61cv97B7dsrvOUtfXi9Ef7xHx/R3V3Ps8/2oKoy//APM7z5B89wP5dcJUAdOB952Jxuof+oQesxH57QfrlKgEgWx1NBRyLIHH2cDj9KS3AZi1xJ/p3rbjuu5ibkbkVP5TyeisZIetsaQ8r93r3kHJC0KQm7AvG1rbW1lZ6enmSiR6JYBUiSc5VI9KgEivGVwuFw3sKng4QyJCs3hBA5GgrnhiRJMvAh4P8u5n0HjpArRLIyFAoxNDREd3c3vb2FS/ZVuvIMCut5E4vFGB4exul0FpTNWeled7IsF7QBKiQ7Mhs8Hg/379/n3LlzNDTEA5CdnZ0YhoHH42F9fZ3x6QdcOPkzJVfHGULi08q38h3KJ/cde2g+WtqgBeLrG2/BeeIvKzZeZCuMT3OWNUbgaPk988IRwVak/GVg1Z4uy7U0uwL2zAZuYquFPucj4GzeccflQbq1aWzqNAASEY5KG8yI0iUelkUDG9JztIp/THvdzAwNBNmmtIy1ZV3m+bDCu7JIeNUySFhrh6fULMnD2CS2Wihkc5Zw6AzDYHBwsGBHuNqEXC75rZmZGdxuN9evX0/rJZoJhfaQ+5UtBU8+J+IAwGNxlBJfKhkSOlJonReUwRpcVwCCBT2zY1ZJjGidSGg0SwE2RZzEiGDCoAmpQEIuKtd+u2sUOLdqYrPKipIf9Fr4TrtGBQUEykYtg5Kl9ow4fNmm1UOh319CYeTKlStFkZmVJroSY+azVYl2CufPn0/2kcmFSvt+hSRjJmSkm5ub97UnyOf7CSFQNr+TkOvD2CpUqVYoFEXDFrUTq1COxfxaHkIuy/Z2ZbaraEJOlgSyomPo8fsxmEelJBKx5pxDJng8TdCW+ZhWJiEHYAq2Y3Z5kv8W6yrSoI64p8JRqKsz4gVzkpFCziX2fwtAA3FyLhUOSm9IK/GBD4RYXTX4uZ9LX1f3BlN9Ph+bm5t0dnYmyTlZlpMkgNlspqOjg46ODoQQeL1e3G43c3NzKIqSDKra7faC9+1PJCv34yAEpGuJlZUVbDZbzvYChSKxtpf6WycUVnK1+ql2hRzEbaSiKFy9ehUgScZl+37m5+dZWVlhYGAgrz/5uHHz5iK/9Esvcfv2MqdONfPggZuzZ1uSZByAy2UjFtN54xt78fkiPHjg3nnvNu3tDq5c6SQYDGGxSESjMdbXPVitFq5ebUNRFCYm3KiqRE9PA48ebbO1FebEiSYCgSiSJPHGN/ayvh6krc3B9PQ2FouCLEt4vVG+/dtP4O7vzO8rNoD9ToCVhW5OnTKo6wlwJ5BZInQ7S+ipVQ6AJBgONnPWtJJ27IXgQPJvTw7Vmz51JeuxmLBwN9aY/TPswcm69KKB5TUnIXmBlpaWvKRT4pnbWz0XCAQIhUIIIYjFYkmZ5Pr6eo4ePVrxRI9KoZjelQc90XEvqtFDDlgkvcy/Z+e1BOqBC8CXd77bDuDTkiS9WwiRWnmXhsP1zRLPjHjttdc4c+ZMUWQcVCcome9GDgQC3Lp1i+7ubk6ePFnQjV9oULJQ5DOqhmFw//59tra2kkHTYsi45eVlJiYmuHLlSpKMS712omGtcvo23cpillHy4zciP4zJul/SYjJ6kqCpepnG/Y/auflnN1AevaFiYzbbVTZC5XmSI3WZZd+KRWCfU1Q85hzpci/15uwZ8y/OuGiPFdb/4SX1DZit6WTfGeNh8RPcgy9r79r3moTgreb7ZY37h9vZF//Xs1NWarDrCSFXOMLhMLdu3aK+vp6LFy8W9X3Hs+sqX8WSy7bous7w8DCRSIRr164V5DwVYh/nYvB73oNfHdepGMwYtd1kn5PuY7e7mDKyROIqiHgPOZ1HevUr5AJY0Gmma0/FWUxqQUiFkV7hx0DIbRiPP2AwrimcUKsXVJnRZD70aBuv15s1EeSwJIiUglJt7RNCrnAkfJS1tTUGBweLriysljpKrjHn5uaYnJzk2rVrBZFxUB3fL9ezl/BPe3t7OXbsGEDBvl/CvjcaTbws3luxORcMFeqLVzjMionlPIRclq9i+V5pkuuqursfC8XyEHKhYnvIwaY7u4y5pu+R5ip82CS2NtsJpFT1iQ0F+YIGO0pkPd1x2/fcs+l+rtkcQpJcwBT7I8F1FFT+lxUSH/pQhB/8weyV6V6vl/v373P58mXq6+sxm80oipKUuIzFYsRiseS+VpIkGhoaOHbsGNevX+fcuXOoqsr09DS3bt3iwYMHbGxs5Hxua+mPPQ7JymJ9v1KTWA47uru7OXr0aEU+ezk2bXFxkfv37zMwMJCVjCv3GvkQiUSSUplnz8aTs3PZHSEEDx48wOPxHHgy7stffsQ73/mXvPWtf872dtxITUxscuRIA6++uksqnT/fQn9/A15vhK99bZ67d9c4d66RkREPECfrJAkcDhuRiMLqqsHwsAfD0Hn55QU+//lprFYJWYaXXlrg9OlmjhxpIBiMk5p2u4rTaaa93YGiyHz7t5/g2LEGolEDvz/KP/zDDMHf/iJvXJ/DoWRZdwXxZfk2xLWiQW0OMezPrPyymiVRtl2Kr8kTtuOcMW2kHfs7/y4hN69lfza65OwVcveMbydYhDR/t5queNbgupFU3rt58yaTk5NsbW0VREjLskw0Gk0mX1mt1mRyVcKmaJqGqqp0dHRw/vx5bty4QVdXFz6fj7t373Lnzh3m5uYIBAIHsoJYCHEg55ULAgkNpej/CsAt4KQkSUclSTID7wE+nbyuENtCiBYhxBEhxBHgZSAnGQcHsEIuGxJNR9fW1pIVXMWi2uXXe7G+vs7ExERS/rFQVDorJdd4iezIpqYmzpw5A+zKOyQyxrIh0aTc6/UyMDCQk+Hf1Nxc51dK/gyvagN8IPTLvGq5sO/YbW2w5HHzQRIw8wsn0YTgJ/7Ld/KffnEYZ3+w/HHDUTbL6N0mDJheukaLHkIqJb1xBwYSfrn8oNB2exexqITJHF+wtaAPstzyY4GjnJ/4OziXf9xPatf42T3FN1cd6/x9mT/B/2/7HXx3835Z3zeax/nb6LWSx/1S1MxnX73N6QY7LpeLhoaGpHNUacmkXDgsWZJPCLnCsLW1xdjYWM5sxlwotEq6WGSzqYkq9p6eHnp6yuxzuQc/s6kSqVJPrErimCpYrt12A4AB0yxeuSP/iRWBwBASblEb2b2QaKVT8jDCbvJHGBemAht/+mpYqZjAF6KneMY0zYuxY7W/eAo6FMFUFVUl/0Dp4G0Ld4j5tqmvr09mfSYqZw9LgkgpKKd/6hPJyvyIRCIMDQ3R0tLCmTNnStpDVYuQC4f3V4UlyENd17l+/XpR90Ytfb9S2xNAPDloeHiYnp4eurq6WIn+R8LBP8IqVZAhywcFbGF//vMKxN3Z3HKi2XiilZe7MN4rpfWjKQSKqkEkHscI5iHkwiUQcu6l7H2VNKP8tXh8pZNT/RF6m/3Mb9aBLmFuglAY0Hanqhvp34umWbl2rY5XX13l6NEppqdTlVQU4s3oyrmPJP7szzRWVz38r//VkLZebG5uJpOHU6sg9lY6pMpaJo4nqgMsFgtdXV10dXVhGAbb29u43W5mZmYwmUy0tLTgcrnSpORrnYxZa8nKYj9bKBR67L3TDjvyqZNkgmEYPHjwgEgkUpBkZrUq5Hw+H8PDwxw5coTV1dW8FdmapnHv3j0aGho4derUgSVzP/e5aX71V1/i5ZeX6O6u5+rVdm7eXKKnpx5Zlhgbi1e/2Wwq16518PDhVrJara5O4dw5FxsbUZ57rpfZWQ9jYxs8+2xPUs7y7FkXN26cYGsrysWLVqJRjVgshtkcQ1XhK195RCikc/16J35/lIUFH0IIjhxpQAi4f3+DqSlP2pz1YIyv/efP0nKskSs//i3ctLagpfrXKjADMU+cAPVEJCSLTCwDceGUBdtZfHOnFv/sd9Uj/JD+fPJ1TfTyUIvbqg7FYEXPvpa0ytkr5G7q35b1WCb0SOnFIWbrRfr7++nv70fTNDY3N1leXk72gUus65mI4EAgwPDwMBcuXEi25FAUBZPJlLQniYSPxN+KolBfX58sYolEIrjdbqanpwmFQjQ0NOByuWhqaqrpep4PB/XZywRReg+53OMKoUmS9O+AfyC+afmIEGJUkqSfBW4LIT6de4TMOHCEXLbFeHR0FJPJVHC/uEyoFSGXIA/X19cZHBwsOpOjVk5ZMBjk7t27HDt2LCnNkFgs8pFxiUwCq9XKlStX8j6kE75f463yds5zssEn6nhP4ONY5TD9pv2a+KNSAcxOieiebOVLXwZPwzahnlb+8Of/T/79b/8RqqW84HZwK4ghSt+QvvqbXQz/8hs56p7m7E9NlUzKCSQCSvmEiJAV1pYddPfHHWQz2eVrNm199DcV1gR+XLTjjSmkiqKdkEuvskzgRekCYekkVjGZ9voVdayscQ1JYuj4AE9pK6ytrTE5OYnNZsPlcqFp2oEPEpZzvVIy1p4QcrvIlhU4Pz/P8vIy165dK1m/u1qbqEwSWwny8Ny5czQ1VVbOcCQi8Rf+w1HYH34MyWRn1SVWalAdF4dAq6Ek41bUhTOyAvKu1LGfVuqkwoKyOhIOBIHaNNcD4GuxE7xf/SIv8ngJueGojFUShKtEZK+h8pWeS/yH+gg+n4+NjQ3m5+eRZTmZmFJLR66WyS9PklHKR7bfant7m5GREU6fPk1LS3aCIR+q4ftl8qui0Sh3796ltbWVI0eOFH0PVqNdQabxEj1oE3uKYhRRvF4vo6OjnDlzJmnfO8xdvBT4v3mL9PsVm3teSKCEJqECNkgWViZXs1eUAVmb28Q8FjYDLlrqNjKfkAWpFXLBaD5CbmffV8Tt5F1pQRISIgNRqO2p3C9lpby50MbZGzIX+jfihBygW4hnsa5LSDvbkE13mF2pSjAMCUXRGRho59VXV7l2bZNXX91NMuvsrGN5uXxi9wtfMHjjGz185SsNKIrM+vo6MzMzXL16NWtCd0LaUlVVDMNI9phLrB26rieJucR/TU1NyecgFArhdruZmJggEonQ1NSEy+U6FBXb5aDYdc7v9z9JRikTxdq0aDTK8PBwMvm+kN+sGnZzbW2NqakpLl++nKw09Xg8OJ3OjHMKhUIMDw/T399PR0etkg0LhxCCT396kl/5lZe5e3cVRZF47rkeXntthcVFH6dPN+N2h9jYiMe8Ll1qxeeLyyVub0dZXg7Q1WXlmWe62NiIMj3tYXraA8Ab39jL178+z+BgJ+GwxsjIOg6HCUWReeWVJYSA557rYX7eR12dlY4OG6qqo2kBACTJYHExwNJS3Ed65pnufYRcYqnYmPaw8YOf4MgzvbS875u4bez0ercCr0AsbEKSBQvboCmZ188OVeDNYk06LCEM0cyaXEertpQ0Ohva5bT3r+S43ZpyEHKvxG5kf2MGdMszaf825JPJv1VVpa2tjba2tmQfuPX1dYaGhoB4H7jW1lbq6urw+/2MjIxw8eLFjPv5vXLJiTh7ah86SZIwmUxZEz3MZnNSJjk10aOWqKVPVUlUSbISIcT/Bv73ntd+Ksu5by5kzANHyO1FMBhkaGiI3t7esjPta0HIJYgqRVGSzbGLRS2cskRvgwsXLtDQ0LCPjMuFSCTC8PAwnZ2dBf0mC5FHPCv9j5Ln//7g7zBlnOQp24v7jhlCYtpapf5xBnzm+7qJ+v345HgWw4r7El/6H0/zT354/1yKQaNVQm/M4wBmgftVC0N/9g7CXp2Rj/YQiUlc/tlJZLX4xdJAxq/WlzSPvVjZcCYJOVOODEeBzNZGBDqznpKGz72q8b1XJWQ57ljWbT8suQ9hKobEu3iK30h77Zg8Xva4fxq08IHOFlpaWhBCEAgEcLvdLC8vYxgGsVgMl8uVdQNaCTypkDv80HWdsbExJEkqOtO+VtgrsbWwsMDCwgIDAwNV2Tj+xKaCUUNCpVTYJMFotPbEYb+yxpTeX6OrCaLUzjkIW/vpJwYp1dELPivN1sL3SnWyIFDj3oMiolXEXpUDr5C4pPsYVipj6zPhv3tNfH9dlEanE6fTybFjx4hGo8neOz6fj/Hx8WTWZ7V7Jhx0Qs7v99PZWeAm6BsQCwsLzM/Pc/Xq1bKrKWohWen1erl37x6nTp2itbW0HsfVblcghGB8fJxoNJpMbi2GjFtbW2NmZobLly/v+036HP+JSPB/YpGiWd5dedQZcyBOxUmgMiDFCgj05qgwXl7spuV0kYScKUWyMpL7/o6Gd+xsEUtaTFexG/UE9sg8A8T2VMiV8u2FNBONMRd9nW64cyQ+7pYC5wyYUzAMHZCJRh1ALO29t28Lnn22GVjl4cM5OjrsrKzEScflZRv9/SYePUp/Tym4c0fQ37/CL/zCGs3NAd7+9hsFVxQl/KdCKh0SJJ3NZkuqQui6jsfjYWNjA7/fz+joKC6Xi5aWlpIUngpFrZMxS8ETv698FGPT/H4/w8PDnDhxgra2whP2KlkckChU2NjY4Pr165hMJjRN4/jx4ywsLODz+WhoaKCtrS1ZFeTxeLh//z7nzp3b1w7ncUPXDT7xiXF+9Vdvcv9+fO0/ebIJWZZ54YV4RdvVq+1MTLgJBDTq6kxcutRGOKxhGPDCCws4nSYuXXIyNxfh+efnsdtNPPdcL7dvL/GGN3ShaYKOjjpu3YpLNZ461cxrr62iqhLf9E19WCzx5/zIkUa83ghzc3683jBPPdXNzZuP2CuKc/PmEkeONDA7u1scoexJ5p99cZ7ZFz/GxX9+Du273sB9qwXTKyH8m/X09QusRwNshjP/Fo2KASLz2tNmChIm7ps2pbTbmohcSf7tyGPf6shOyN2KFef39sgPkn8bUidImX0jSZKor6+nvr4+zaeZnZ1le3sbTdM4duxYQcnSqTYFyGhTEuc1NDRkTPSIRqM0NjbicrlobGwsK85XjHTwYaxqjlfIHWxbmIoDTcglJB8TpFG5qCYhJ4RISqt0dnbS15e54WUhqLZTlgiaZsqOzPdw+3w+RkdHOXXqVMHSaWuBn+GUUpqT9ieR7+NPo/8KgAuWe/uOP4idIVyljIGtT0q473WDbR4a6pCEjpAUvvCV76Xr9DgX3rGZf5AssMkG83Lx89Z9Es//9PcQ3QhgiDrw9DD1pRaCAXj61yaRTcUFoRx1FqSG0ojBvVgLNANLAJjzSNcYWuGL5LB2gacW7nOszwOAZ3wYzpc6y138ReTbeMqSTsi1UV4POYBFXeYfghLvsMWzIuvq6qirq0v2KbBYLCwtLSVL4ROZL8VIT+TD4yDkSrleMBh84phlQELysauri97e3gObmZSwqYZhMD4+TiwWY3BwsCoBga+GJD4XPBybq7Mmg9eitZ9rl7zFZ2PXa3ItCUFElFaxWQo2RCcte6rsI/Z+EBMFj+GQyd/AvMJQ6lqhsILwqsKniaoSgx4h8yGPyk83RJJ7SbPZTGdnJ01NTTx48ICOjo6kM6uqalIG5rA5eqkoR7Lyie3bhSRJyYqUhC25ceNGRWxJtQi5hF+1srLC9PQ0V65cKavyo5rqKJqmMTQ0RGNjY0ntCWZnZ9na2mJgYCDjXrXT3M3Lge/jm6Q/qtj886FJXUMVz6BJ62WNEwkUQIzn4IdWxru4eHqoqGsqKRVykXDuvX8kUjwhB2CKNIF9PyG3t4dcqWrmuq+dRpd7d5w1FXkghnE/IedqYnVNYe+Xp+sSmgZHjtQxO+vn/PkZ1tdPo+/Mq7fXyaNHbiqBrS0r73tfC/AqdXX3OXWqiTNn0v87etSJLOf+cgutdEicpyhK0rfb2tri+PHjuN1uxsbG0DSN5ubmZGJmJX21x1EhVyy+UQm5Svpxhdq0REXaxYsXk3J6xVyjEvbIMAxGR0eRJImBgXi/ME2L9zlrb2+nvb09WRWUmK8kScRiMS5dulRUy59qIxbT+fM/H+XXf/0mDx96ALBaFa5f7+SllxbR9fhi+vTT3bzyyhK6LrhyJf75olGd115bxeWy8dRT7dy7t8Hw8O76HIloBAJR3vzmPhYW/GiagdWq0tvrJBrV6OqqY3Z2m2hUR9MMvN4os7MeNjfTFanm570MDHTw6NF2sjIPQNcFNlv675ltqbj3iTH4mzH4xA+hz6sYmkpHj07DWR8TgczKN2aZrJXkTbIPzw4hZ2ch+fpLoavJv/OZIWsWQs4n2rkfKy6e2iPvxpOFdCrHmelI+DQ2mw2/38+JEyfw+Xy8+uqraZLFhewD89mUhKqWxWLJmOgxNTWVVOByuVxFJ3oUE7fz+/2Hzk8TSOjG4YgZwQEk5BJO2fT0NJubmyVJPmZDtQg5SZLY2tri/v37Jff4SUW1nLJEU9RwOFxSduT6+joPHz7k4sWLBTudD0J3eEb+q5LmPaGf5N8Gfzf57/MZCLlXteoEH4UmmPzgZRA6mOL3nxoLEDM7AYlP/PG/o+fiB2nsLu1+UrQYHlPxwcx/+MAAG0sd1GluwmYbmqEiFt0s3nmWF39E4ulfn0AxF77p8/ljrNorQ2iuGbuSQvkIub2SKbkw1vomguEvAh4Auq2rpUxvH34v8EZ+zVSHKu9KnlnFFBaiRChvzflowMzbzP6kQZUkCcMwMJvN+0rhNzY2GB4eBkga1rq6urI277XOkiy1b0E0Gq1qtuhhQuL3TvR2qYbkY6VlBxRFIRKJ8Oqrr+JyuTh79mzVyMOfcB+47UpW2B4Tf9oib/GlaAWyFQqCwFtD0nHZ6KRZSg8urtOOuQg7ai2zkqIUPNTrUNAfe6bejMVJDzEWqFzix158OGjlB+1h2hUjLUCZsA+NjY00NjZy/PhxwuEwbrebqakpwuFwWtZnubarls3HS01GCQQCT2S79iAcDjM0NER7ezv9/f0VsyXVkqzUNI3JyUm8Xi83btwou+qzWuooCaWZo0ePFt2eINETT5Zlrly5kvNe77L/Z2KhP8YkVbFhZQosShhZawFzeYTc1nYhhJwAWcqY0LF8qxu+o7hrpkpWxsK598ChQGmJL2FvPWSIocX2BKlKXS2XNjro7U/xy2MS1k6DoAFGMO5XBoMSLpfA7U6/x27dErzpTe3MzvoZHQ3x3HMLvPBCPJF5bMyKyQSx8ovkdmAH3oXf/3lee22d115Lv1+sVoUTJxp3CLr4/0+fbuLkyQZMpv22qJBKh9TqOUmScDgcOBwO+vr60DSNra0tVlZWePDgAQ6HI+n7lRvvOiyE3GEL7h405LNpqXHU69evl3RfVaI4ICHj3NbWRl9fXzLpZm/MMSH/2tjYyMOHD/F4PLS0tPDgwQMkSaKlpYXW1tbHtmcKhzX++I+H+e///Rbz87t+yKVLbXg8oWRVHMRlJOMVcGYuX45XJN66tUxjo5Xnnuvh9u1lbt6Mx7EkCS5ebKW+3sLY2AZ37qxy7VoHIyPpa5TLZePmzSWiUZ2TJ5t45ZVlolGd9nYHly61Mjy8e/7k5BbPPtuDEPEqvTt3dmNm9+/7OHWqkYkJz87nypEt2N0E0zKGFl9PTHXg6gvxhUDmivJc4iONkp8VqRfJECgsJ1//bGAg+bcnxwAKOgqZq9Bv6d9dlHKOhKBb2k2gMeTCCTnY7UV69epVrFZrUko1HA6zsbGRJlnc0tJCU1NT3jU5m01J7WuaOJ6QQhZCEAwGS070KCZu942aRFFLHLgIl6Zp3L17F5vNxrVr1yq6sagWIadpGuPj4xWT6aqGU6brOq+99hoNDQ1cvhzX7M3XSDUBIQRzc3NsbGwwMDBQsGEXAkToJ5CV4rf7EWHmPYGPE2B3AThvGdl33lhKP5lKwv2XEr4HPcAaSPF7xkIsmecXjLTw6d96D9/3C3+GVMItahIxjNbiqj5n/6adhy+/FUnoBNYbECY5njHp7cFs+FkaeoYX/6PMMx8aR7EUZpwEEgFrZaQA1k3tyb/NeWRrfFojjqCbgD1/dd7XXG9k4/7uc3us1VPyHFMRlSzMGG/lpLzbf1MixjeZJnk+Vl5Q+/mIiQ3ZQrukJZ+zSCSSlD6B+HOZKIU/evQo0WiUzc1N5ubm8Pv9OJ1OXC4Xzc3NRQd6Dotk5RPsIpGFvrq6Wla/uGxIkMKV/J1isRjz8/OcO3euKCmUXEjMM/X+/Vu/zCuRgx1kSMVM7PEwcmbNz2tab02upes6m+HaPfOPjE66pbW015aNVpAKn4PJMKi1fuTno8d4Vl3gq1qtpESz44hFZqH89jxZERQSvxGu49eaImkBylAo7vSnknRWq5Xu7m66u7sxDAOPx4Pb7ebhw4dYLBZaWlpobm5+bD0TCkWpa+oTBzcdW1tbyd5kLldlVBsSqIbvJ4TA7XbT3d3NwMBARcjDaiRjer1epqamMrYnyOf7RaNR7t27R2tra0GV+t2WPl4K/gveJP1xxT5DTigg1regu7xhFjcKkY6V4rxOhpal2w+aCMbs2E3B/QezIJWQ8wfy9ZArrUJubc2GM0PsNLanQs4okZG7u9hJ08mvpr9ojw+2tbB7jfZ2Gbc7/SKxmEQ0aqa+XsXn0/j61ze4erWeO3ea2NyUeOqpem7e9JU2sYywIMv/BMP4EpCe2BMO64yMuBkZSa/KU1WZY8ecyUq606cbOXOmmdOnG7HZdn2yXJUOCQJC07S0HnWtra20trYm2xpsbGwwMjKCECIZVK2vry96XamlL1aM5Fkq/H7/E9tXJnLZNE3TGBkZwWKxlBVHLZeQ8/v9DA0NcerUKVpaWvLGHBNtGhLzliSJ48ePE4lE2NjYYHJyknA4nOzhVYvexIFAlD/8wyF+8zdvsbISSL7e0GDh3LkWXnppV35RUSSeeqqLF15YYGCgg7o6E9PTHiQJBgY6uH17JUncnTnjoqXFxsTEZhqZBiSlKFNx9mwLL7wwj9WqoGmCaDT+u6yuBlhfD/Lccz28+OICie3D17++wLVrHbz22grPPdfDyy8vomliZ/zdpDybzQKE914OSZLoes91Fl8QJAxPwABzk4pB5vspmMNANco+HtHLadaRduKDhmjhtciumtyClv39Z0xrSFnK717R35b1fZnQKuuYpV0iUqT0j8uHRBJhpl6kVqs1rZJta2srqfRns9loaYm3silU3jLVpqQSc4m9W0Imua+vr6REj2JsxaFMIBSgFaHG9rhx4Ag5t9tNe3s7XV1dFR+70k6ZYRhMTEygaVpFe+ZUWrIyEong9Xq5cOECnZ2dRTlkCfkYIQRXr14tyrDfDTzPs8qXS5rzj4d+iTv6QNprZ82jaf/WhVyV/nFGTPDg5y/G/yEHQcQ/s6qnZ32OTDzFy386xNP/136iMB8iviBbtsIzltyjMn//a98DgEPyEKIeXdp5fIWCZdNLtKWO5Xtv4O5/tXD1g0PIBZByBjIBe2UIuUDbbsDRJOeO+i1FemnzzDBTACG35ezGJ3YNQYu9vGzYVPzp8rfws72fTnvtWuw2z5epiWkg8WdBEx9ojP8Gq6urbG9v09fXl9YgPJGdnJD36ujoSGYwe71eNjY2mJubS5M/sdvteTehtWwinrhesU5gLasYDgOi0Wha9XKloapqRZ311dVVVlZW6OnpqRgZB7tBycR3oAn4qc3Ds6k6phpMa4+HPAxWkWzZCyF05PoO2KrN9Wa0Ds6bJ9NeW9RbCAQK14M0ImFQq1chlgkxVNpUOWcPolrhflTGhCBWxT6MH/Gp/HunxhFT/BkIBAI8fPiQkydPZpX3kmWZ5ubmpLpEIuvzwYMHxGKxZEZoQ0ND3rWx1nblSf/UymBtba1qvUcr7fsFg0FGRkYwm82cOlVcdnUuVNr383q9yeq9YtsTBAIB7t27x/Hjx4vqiddu/1G00MdQper2a09eT/WmCGCVhqmVAhk9GxkJOYCV9S6OdU0VfM1UQi4Yyb0OREI7hN3Osi1rOkYBiSj+aC9Obu17PRhOXyP1EpfMkfVmvhmJY21eptfisnLhmAJNgsDmro2pr5fIVId365bgqac6+MpXFhAC5ubmaGuzs7ZmIRRyAJUj5Jqa4Pz5EBZLN6OjKjabgs2mYDbLSJKBYcQQQkdR4oSZoqjoejzwPTnpZXjYTTAYIxDQCIU0+vrqkpV0qfKXTmfcr08kVt+7dy9ZQbG3T1DiOUy0NThy5AixWIzNzc1kX636+vpkYmYhbQ1qmYxZ6rW+UW1fLSQrQ6EQd+/epbe3l56enrKvUWqCyPr6OpOTk1y+fBmHw5E35hiJRBgeHqazs3PfvC0WSzJ5S9d1Njc3WVpa4v79+zidTlpbW3G5XBUlore3I/z+77/G7/zOq2myjwBPPdXF/5+9/w5zLD3L/PHPUc5SqUqVU1d3da7uip1nnANjdpZggw3YsMAuLGaN4buLMbtgY5Z1AhvvelnM4jXmB94x9oIzY5xnuqdzd+XQlYMqqVRSKadzzu8PtVSlKqlKUqnD2H1f11xTLZ0k6Zz3fZ/nfp77npz0ZJBxBoOKY8cqGB5e4zWvacLjibKw4Ke+3szNm0vMz/tpbDTgcOhZXo4yOppbklepzHymrFYtvb1Jucbu7pqMbjwASZK5fHmBtjYHq6tBVlaShSFTU14qK41cvrzAsWPl+HwxnE4/AwOudOecSrXzOysv12CzWZhUOmBw87ea9yg4ZlTljGVWYglQZM9rmgU/A0IzbfKm7KRHPJ3+u1IhsSrlHkuOq5Zyvncj3p7zvWyoU2YSkFKekpUul4vp6Wk6Ojr2bExRKpVpAi7Vyba2tsbQ0BCJRCLtJ5oPqZyt4GM7SZeaS7YWegQCAdxud85Cj0IJuZfbmC3LAmLisaO5cuKxu9Lq6mripdMpyEApqw/j8Th9fX2UlZWVvEqjlNfp8XgYHh5Gp9MVTMbF43EGBgaw2+0Fy8eIkoQj9gdFFaN/Pf4Mfx59d8ZrjaoZrNvMqYdjJ4gZSi93t/Q3EpHZ++SSWoHFpsYHxIOJZEC2BV/+yr+h5ugf0nw2uOM4u6HMKBCvzG9wk6Lw/T/6CRLRZFWFOhInpowhbpFV9C9Uo7JukFBbmbzRQeBdIpc+MYhSt/tvZjCoCJtLQ8jNmzarTG0mKaeWNMAiLVQFZ5kmP8nRFSqBYQAqykLo1vxEtIXpoWfD/xKf5f3Sb6FQbAaLraGhrDIvheJv/Cr+ozWBa2WZ+fn5tPfGXhNqKlCzWq1p78xoNIrb7WZqaopwOIzVaqW8vDxtfrwdpe6E2gvFJiXzkcr9UYFWq017uzwIlCopKctyWlKkpaWlpBX9sDMI/IxPwXj85dMdV6uUmXoE5EsZbkRjPRRn11owVCo1funhLdDvJWqx6DLXAGMhC0pT/stYs9EAD5G0TEHm8ZDldcsCPRqRmw9QajSOwB971XzaESMUCjEwMMDx48fTc9le8l4KhQKDwYDBYKChoSFdabq6usr4+PiengkpGb6Hhf14yL3sKk4fII4ePVryuSSFUhJyKUnpo0ePMjU1VZJjplCq2E+WZe7du0coFKKpqQmtVluQPYHb7WZ8fJwTJ04U7DvUoD3AS8G38bTy7/bzEfKGKbEA7M8mYnCuAEIuB5YmCyPklMrNRYI/nPs7TkhKxESSiGlKRJhFh0MnsJLHPDa9aidbaXNsm2RlNCFSbOe4MVLJoUpnmpCTVlUIPSLSvyhBDcRBk8NGIRIREITNMdDtFmlrm2Zt7TADA0oaG9XMze0vH9TUBHV1K4yPDyLLJgwGJRUVKuJxGVkWicclFAoBQVCjUKgRRYl4XEQUk1+wRqPCZNJgteoRBNJec0qlQCQC/f1eBge9wAwgYzSqsNt1NDYaOHdOpLk5Kb8LmZ0OqTgwNeel/q9Wq9O+WrIs4/f7WVtbY35+HoVCkZ77jEZjzi6jhzX/7acY5cnctz9km9PW19cZGRkpmd1BMfOmLMvMzs6yurpKd3c3arWaRCI51uW6L/1+P0NDQxw+fHhPyx+lUplBOmxsbOByuZiamkKr1abfK9YKw+0O88lP3uJTn7rLxkbmIFtTY6K21sT164sZr9vtOqqrjSgU0N5exfJyEINBzfS0F1GUOHeululpN3NzIebm9u6i3l5UdupUJS++OE9HRxVXruQuPxkYcFFWpqOrq5rbt5fxeCK0tTlwuUKMjLixWDScOVPDjRtLBALJQHG7d2Z3dw0TExKTk3GI6NMSzbayGGs+DW61OishJ8gyLiF3LGYWgvQL9bxSHk2/NhlrT/9dq5JZ3SV2bVUv5nzvZiyfDvdN1CkzvcjlPCQrV1ZWmJubo6OjI6/CiK3YKlnc1NREIpHA7XbjdDoZGRnBbDanvef2OnY2actUTLW94MNoNGI2m3MWeuj1+rzzb4FA4GU3ZicJuZdPMfdjR8g9SJQq8RsIBOjv7+fQoUNUVlbS399f0qrGlI/efuF0Opmfn6erq4s7d+4UVB0ZCoXo7++npaWlqO6HW4G/51XKwjvHFqUafin4N2zX5sjqHyd2FXz8vSDFJGY+2p7+t8poIxjyggmCGyJUbNteVvOFv/r3/OaRP0NvK+A3k0TE8vxYn1sfPcHixMH0vz3zCoiGwLA1GapAtRoiUZdMeq2MdPPifxC49N8HUO1iaBQMSQQMtvyvexf4ampJxBWo1BJiLLxrfLekaeV8/Et5H3tMeYyVtZtUVSSJz1rPOFPVnXvstTfWrE1cHzvA+WObiRX1/HU4su9DMycq+ILTS+uKk46OjrTs5G5a0bkqKLVaLbW1tdTW1qbNj91uN9PT02g0mnSQlqoufxSSlYWeLyXh8gRJPGhishRJyUQiwcDAQFpSenl5OS1HVyps7RIISvAnnpfXMmXjweSU90SPepJpqfmhnU9Gi0curcfhbhhM1GImM5CaF2rR6vQ5uxa241GNNsvS40HIQdIK6UHjH4JKfl0dJjHSx8mTJzOS+vkYmW/tnNteaRoMBnG73QwNDSFJUoZnQqrq82HPfYUG6JCMIwolO56gOKS8TveDVKJxZWWF7u7udMd5KVEKu4JEIkF/fz9mszlNaOdrTwCwsLDA0tJSVkmmfOEw/icS4f/7ULrkrPIi+yHkBFlJ/3zV3hsCu1lLL/XVwVP5n3drh1wwmnsc0G2ZO2pNama9IMYTu1/MfYwslnMx2xtC5r7haDyv42XD6qKZ2qpVGLxvHxFRYGxJEEAF1cA8iJKCXBWaN24IdHaWc+dOsmNkYCDEpUtOLl9uoLHRwtxc7k6S3dDWJqHVThOLLSFJKoLBKKKo48YNFzU1BkZHfWkJt9JBpqOjnPn5DaanE7ztbRdpbNyUEN+r0yGRSCAIAkqlMh3/WSwWLBYLLS0txGIx3G43MzMzhEKhtK1BWVlZOr58mMWYT7rDC0ep8ntKpTKjeWF+fh6n01lSu4NCC0QkSWJ4eBhZlunu7kaW5fQ9nWvecblcTE5O0tbWVnDCXxCEtC9xa2sroVAIl8vFwMAAsixn+M7tNe8tLwf4xCdu8ulP9xEMZhYBKBQC58/X0de3wu3bmcFGfb0Zm01Lfb0Fvz+G1xvF44lQVqajtdXOvXvrzM5mFhLuhXh8c6w0mzX0969SVqbD6fSz163j8US4fXuZixfruXFjkYEBV9rTzueLcePGEhcu1HHnzjJnz9aS6lzW6ZR0dTVy5cr9GEshwOrms93YAmExzmgOm4IKIY5LyL0ONihC9Ao1/JL03fRrNyObOTzjHkv2ZuVy1teXpJMsiIWtv+uUm150MnpkoXGXrWFpaQmnMzOPtx+oVKodRRcul4u5ubm0X2JFRQUmkynv7jmVSpUxp2xV4krNKVvP6fP5WFhYwOPxcOfOnT0LPV6WY7bME0Luhxmrq6tMTEzQ1taWDqZL7fm238Ts1urI7u7u9PVtlcjbDR6Ph9HRUU6cOIHFYin4/CExzBHxjwvOfomygl8I/h1r8k55lGz+cSMPwD9u8dMQWUgNzmESCgtKITmZqhS6rJ3aLk8jX/zwa3n7B7+V93kCUWXSzXUPTH3NwPV//LH0v5VEEcMOYGf7dsRVg65mg4giScqtjnVx+T8IXPpEH6ocs11U1pDQlGbxJqPAs2bGUbOBWSfCLoWNLt0B7FJ2g9ZsuGm8yNzil9KEXH1okin2T8gBfDfwes7zl+l/Hy+fLslxAT4b0vC19vZdg5a9EpTZ5L3KysrSFXDhcBi32829e/eIxWLYbDZkWX6o3jvFBIEvywn+AaNUwVo27JeQC4VC9PX10djYSF1dXUmOmQ1bg8D/vqFkWXz5dFBaBZnhR9TNd1K5QH+i9BLOuSCjZU16eIScU7ai3JbUm6AGIYsU1uOGvrgRFTKJfUpFCshoALUAKllGjYwKGbUMgigiRiIY1GrUgoBSklCI8v3/Swhi8v9qWeJpAYJ6HWGtmoBazYagwIeAXCIpSwmB9y5LfKmtbdcxvpjilJS8V6rSNCVfNDo6islkeii+IlshimJRCbBgMPiEkNuCB/mbqVQqQqH8/b22Q5IkhoaGEAQhLSmdSnyUEgqFYl8KMSm5submZmpqanA6nUQikby9wlNryM7Ozn0l9Zu0h7gWfAuXlM8VfYx8YRXcKGUDolDc76uIVxDLU9ZILceI5yCuVm9UI0pKlIr81kNbCbm4pCMhqlApd0aYGraOLffnujwfFXdIh07SE1FkFk1t75BTavVQ5OMxv95AR8tMxmta2/0aGSswD4FA7gsOhQRstjJgk3h76SUXp06ZGRmxoFZDvo+ESiXT1RVHkibQagPMzgaYn0/GjJcuJT2YktsJdHfbuXZtjYKN+bLAZFLR3l7G/Lyfu3dXOH3aRFdXXQYZtx2FdDpstTWoqamhpqYGSZLStgYzMzOo1WrKy8sfaqHjfgi5qqo8SfAnyAqlUpke20dHR0kkEvT09JSUjC2EkIvFYvT19VFRUUFTU1N6fsw178iyzPz8PC6Xi87Ozj0lAPOBwWCgqamJpqamNHk9NTVFMBjEbrfjcDiw2WwZz8fCgo+PfewGn/3sAJHIzvH34EEbWq0ya2fakSN2amvNaDRKPJ4IarWCWExkaSnA4mKeVYJZEAptXsfp05VcvrxAT08NN2/mlm3cjitXFjhyxE44HOell5JylgMDSbuXl15ycvCgDVGU0WgEDh4sQ5aNm2QcwMkjMLB5L1kqlLTYo4zI2W1mKlQyu5nJRAUTQYWGWnGz0+2bgY7033tFcfXK7J/9qvgze+y5E3WKzWuQFQd3zcU6nU6Wl5fp6Oh4IIUOW4suDh48SCwWY21tjenpaYLBIFarFYfDgd1u3/P8W+eUlBrXVjWSVKeqUqnEbDZTWVmJwWCgrq4uXeiROmdFRUWGAtfLMV8nywKJ+BNCrmg8rvJlsiwzNTXF+vo63d3dGZNHqXX/94Ot1ZHt7e1AcqFXXl7O9evX0w93Lr3lxcVFFhYW6OjoKLrKps//v3iNwrn3htvwwch7+V7i1VnfO7mtQy4hK5nRNWXdtlhIUYn5P9+cILRaP1FBj3jfQw4p9/cxMPavuPUPo3T/zHxe54or9q489c/Btz/0c2wNGISgG4Racok4R6YCcGhTgnL1Xicv/gcll/77HdSmnYv0oFwCbcYtmFsy4qjZQIzvHt3JKDAWsAC70/QaQsNbKkVDpSPNvmb9Wf7zVkKucQUhJCGXoJ/iiqacVTlMvg31uRKU2SbUraauW41kvV4vMzMzuFwuvF7vrvJepUIxMmFPZEseLvZDnqWkUE6cOIHNZivJMXMhVUCyJsLHvS+fxRTAUY3E9eijueaDyjU+H8s+fz4QCFpWHyIhBxAWM+eMDVlPQs5/XHsU1J0CmWPeANWDc7hdIeKhBHIsgRhNIEYSSNE4YiRBIpIgEU4gRuKI4QTxcJxEOEY8FCcejhMLxZBiElGKU92sqNBz5Eg5no0ITU0WpI0YesAqylSLEhICynIjynIjKocRwWaEMj2yzYBk0SGa9cSM2vsknooNQbkriXdV52BIFeEs+ZMW+RSnbE1QqlQqKisrqaysTHsmLC8v4/f7uX37dnruy6fStFgU25EQiUQeatHMjzL2E6NFo1F6e3uprq6msbExfR89iPtpP5KVKXuC1BwtyzJmsxmn04nL5Up3C6T8Q7Yi1flusVg4fPhwST5bmeF3ESP/gFJ4sC3jakUCVcyEqC2OUfJ5bHlve9au5PJk9vfEsAqXr5JqW35J08Z4gK2u6CZBTySLZ5ogbs5vwWAQsKJUqXa1BNgKbdxGRJtJyEW3edzG9/ET9a400XnqbsZrQQUgyKBK3kdu9+73040bKurrDSwsJH9DSYKlpVngGB0dZm7c2N1LzmgUOXHCi16/iN/vp69vHXGLMd6lSw4uX55L/7ux0cTVq8tculTL5cvFe5LX1+soLxe4dy/A5cvJJO/p0ybcbpGf/unCfMjz7XTYWpiZ6g6C5HzidruJRqPcvHkTm81GeXk5NpvtgXXM7Ueu+eWW3H3coFQqicVi3Lp1C4fDQXNzc8nnpFThyV7YqhrmcDj27MiWJImxsTEkSaKjo+OBEMjbyev19XVWVlYYGxvDZDIRCun4zGcmeO65YeJZBkCtVsmZM7VcvbqQtZO2q6ua2loz0WiCpaUAQ0OujDFnP/D7k9qNBoOK4WE358/XZfjV5YuxsXVMJg09PbXMzm5gs2nxepPRw+SkF4MhwOtfX8nSkpLJycz5U2WqIbFlKospwNqc+1nXijFQ5c7p+YRkF3uF7AQBZNnM98Kt6fc3pN3v3SpF9g65G4lX7LpfNtQrZtJ/7+YfNz8/z9raGu17FNWXEhqNJkMNy+v14na7mZycRKPRpLvnDIa9c7d7xVPRaBRBEFCpVBnPylYFLpVKxXe/+10kSUp7oeaL559/nt/6rd9CFEV+9Vd/ld/7vd/LeD8ajfKOd7yDf/iHf5ggWZHzs7IszxR0kl0hIImPHc2VEy+fKy0hUrrd+UIURQYGBtBqtXR1de2YPB5EUrIYpKojm5qaqK2tzfCLa21tpbW1NafeskajYWJiglAoRFdXV9GDjzuxRjcfLXi/K4kLvD/y/pzvH9/WITcYayNu2H9FzVYE/kFHaH7TTDZ6n1TSGvREgUTMCLKcs5riS198Jy1d78d+MJL1/a2ICLsnESVR5pvveQ3RUGbCM+FJlQrmmPgDdaijbuLazSoW18RpXvxNgaf+x23U5sx7NyCVlpBbCdiBRTTK+J4Bo9edfyWw31iBK7pJNNaJ+RGf+eCa4xUsrFipr0pWB+m0MZpmBpipPL3HnntDROATwx4+2GYrarFcjLxXeXk5gUAArVaL2WzG7XYzPDxMIpHIkPd61HKRTwi5h4ti56m5uTmWlpaySqGU0u90+zE/5FHi22OR/rhBeITNWtVKL1fiD7NDTs3yQybk1gM777UI+Y8hD9PazyTItE8tMvNfv0k4EMFj0zIz5aWpycq1a849pWdKBbtdx4kTDiKRBNFoAlkGvz9OPC5y/Xp+yWOlUsBgUKPXq9DpVGi1Suo1SjQ6FRqHCZXDhMJuIGZUEtUrEMqMKCvM/O2Mkq5LVUXJvGwtTtlKyG3tJEi9nyLpUmRDLBajtbWV9fV15ubmCAQCWCyWdNVnKWRnUig2KfmwfV5/lFHs3LexscHg4CBHjx6lvDx7ZXgpUazaitPpZG5ujs7OTvR6ffr5SElLx+Nx3G43s7OzBAIBbDZbuuo6Go3S399PU1NTwQmX3XBAd4RroZ/movILJTtmLhgjAaJF1pslEofy33iPx9UwVQ6d+Y2ph8sV/PPWQ4sGUGQhnsTNNZdOW3jMK4XKQJt5TTFJte3fBR82jZWQHhQSAptFjJF1FcIJCXlQCeWwvCygVMqIOdQOAgGB7m4HCwuz6ddcLpH29mmi0QOQhagEqKuD2tpplMoVxsd9uN07S1UuXMgk42CTTL98eZGLF2u5ciV/Uk4QoLOzHFFM0Ne3xsKWxpkTJ/T09QV4wxvsVFTEiEQiRRU279XpkM13VafTUVdXx+LiIl1dXRmJXJ1Oly5OKZWcIRTvV/ejHPuVSgUlFouxuLjIqVOncDh2qko9LKytrTE2NsapU6cwmUzpezMXGRePxxkYGMBut9PU1PRQmjAUCkWayBgedvHBD17my1+ezEmgnTzpIBCI8eKLO/NMSqXA0083kEjIPP/8ZFYyb7/weJI5xI6OamZnvfT3rxZ9rEAgxvXri5w/X4csy1y7liwcsNsNHDhQxZe+lLRrqaw0cuCAA6VSz/x8jGDCzPqW46wGBI4YE5DDD9ts0O+a8/MKNgAsJIlFn3Qqo+h9IbH7fVCeg5C7GS9cKa1OGE//ncs/bmZmho2NDU6fPv3IcmUKhQK73Y7dbqe1tZVwOJx+3qLRKHa7nYqKih1dn7mOBWR0vDmdTo4ePbqjI9tqtaYVuPx+P9/73vf46le/isfjYXx8nGeeeYann3561yJ/URR55zvfybe+9S3q6+vp6enh2Wef5fjx4+ltPv3pT1NWVoYsy4cEQXgr8GHgZ/fxlWVCBp5IVj6+SE2G+U4C4XCYvr6+dAdKNpRasrIYZKuOzDYxZtNb7u/vT7ejHjlyZF+Dz4T/o7xKUZheskey8XPBzyHmuB21QoSDmkyz7Dsl9o+TIhL3Pngy4zVjmZEgEBXVSflNQQmRAOizV3bFEgb+5kO/wH/4H3+Neo81b0K1+wbDf9XC0liWzxhIklKCMne1f3w2CtvmmLWpU7zwTiVPf/IGasvm7xsUSrsoXpWSJns2C+DZfVtTgQtyp1wH9AFQV0QHZm4IfG3iPL9e9Xz6lWPrN0pCyCFKHF+f59q10YKMW7OhEHmvRCKRNpE1Go00NjaSSCTweDwsLy8zNjaG0WhMB2mlkIsoFIFA4EmV5DY8TpKVkiQxMjKCJElp6eP9HjMfKBQKpmPwV76Xz0IKkp1Q9x6RXCUktfDFvTKGJYUGp1S8d08xUJlr2GYjR5j8x5CSW8ZkQS0JWl66R//7vsnlxeRaqPFCHdPTGywuJqVsWlps2O16bt3KX4KmUFitWk6frkSSZJaXAywu+jlwoIyhoTWOHStnbGydixfrdzWJT0EUZfz+WLpyNxd0OgUnT1aiVCqIxeJUvKaK23o7arW6oMrO7UjNfVuLU3LJeyUSCZRKJRqNhurqaqqrq9OeCWtra8zOzqYLV8rLyzEYDPtKChVDyD2oMf7ljActWVnoPLW4uMjs7CwdHR1F3bPFoNBOPlmWGR8fJxgMpuXKtnqFp75TtVqdfhZSVdcul4vR0VHi8TgNDQ0PhHC0GH4XKfJFFA+4UsUaXWadwu0VAJbX89WvAHmPWzQ+3wSd+Xmn75CnFPWQJSxIRDdfLGadHgyUwba6mdi2DrnoPgufIl4DrVUb3Fu5f6KAgOlkAv+gEmNTlKYqiQ2vgNMJSqWMzQYWi4zRKKHXi6jVIoIQ5eJFmfFxFauryWegtzfIU0+t0tCgZn5+s4DzxAmZ2tpFxscHuXkz95zU01POtWs7k+oLC8H031evLtHTU8XNm7t71VmtatraypiZ2eD27Z3J4ePHDYyMhKiu1nPhQhOiKDI0NEQikaC8vJyKioqi5ZQLsTVIbZ9K5EKyI83tdqef97KyMsrLy7FarfvK9xRbVPIk9tsflpeXmZqaSsswPirMzs6yvLycVg1LKfjkuqdCoRD9/f20tLRQWVn5MC+V3t4VPvKRq3zlK+M5i+GMRiVHjti4c2cnQa/RKDh3rg6vN8KVK06OHy+nudlKVZWRQCDO6Ogakcj+Y2GNRsnGRhStVsnk5Dp2u4GFheLlL1O4etXJgQM2XvnKRjY2EqyuirhcEU6dKsdoVKNSCSQSEYLBALUNldxc2cxRGgwyClkkcWMR2luzHj+2x7B2z6cAPWikeVDCbGwzv1ahkFnbYw6yCjtjJUkWuB0rfN3SoBjePIZi5+eZmpoiEAjQ1tb2yAvXt0Kv19PQ0JD2Bt7a9WkwGNIx1l5qWOFwmIGBAU6ePInFYtlVjcRoNPI7v/M7hMNh2tvbsdvtfP3rX8flcvFzP/dzOc9x48YNDh06REtLCwBvfetb+fKXv5xByH35y1/m/e9/f+qfXwQ+KQiCIJcqQJKFJ4Tc44xUwJLPQ5YiuY4fP55mi7PhUUtWpgLHVHXkViPV3T6nwWCgqqqKlZUVWlpaUKvVad3aXHrLu2E+Os1F4VMFX/+vhv6aOSm3/OQxzfAOc/DhEvvHuT+rZmMmMzALJozJAEm5GYzriBDZJQG47D7F1z5+hp98741dz7e+SxOd87Ka7//1T+58I7oBcRsAZrMWXy7dqlAtbCyDNbPa1T1zgh+8U+Dp/3EdjS35m4YobaIhbEuS1vHo3vIxbm9hY+6U5hCBoBqTMU6dprSJzO8af5pfZ5OQOx7vz6heLRZHJhZ5xxtO7TBuVSgU6SCtWDmt3YK0cDiMxWLJCNRUKlW6IzYl7+V2uxkcHESW5XT3XDZJoweBQCDwI1sl+ShQCHkWjUbp6+ujsrJy1yrGB0XIfShsIlYiP6uHhaPqR+cfBxChdJXP+UCUFCyID7dDLpSlgCQg5+/DFd0ro7oPtAZ9qP/vVUb+x3UWtzB/er2KgYFV/P44hw8nTd6nprxMTXk5caICQYDBwfz9VPeCxaKho6MKEBgfX2dxMYDBoKKlpYzBwWSiYWxsHatVy5UrC2nD92JRWWmgudmM1xtkdjbMrVtJs3hJEnjHO85x8GDZjsrOsrKydLdaMQHvbvJeoVAIQRAyuscFQcBqtWK1JguaotFo2l8kHA5jtVopLy/P8EzIF8V2CcDjK9H/w4ZC5qmtHtw9PT0l7abcC4V0nKdkJo1GY4Y9wV5+calkfSwWw+PxcPToUXw+H3fv3kWhUKTXiKUgIQ/qjnMt9JNcUP7jvo+1G8rERaaLJORmVmrz3nbdHyBpjJYd167U8aZ/nd+xlMpMhRBJzP59+zd23reFjBprHjv2bVZm2z3kovtcwnk8NTQ7FjYJOQRMlcm+tqCkZnhokZ/8yTB9fS6mpkK43eDOwn+1t0scPizhcAiUldkJBLTcvu3i4sVaFhehpyeOSjXDnTvjDA3tftFtbWX09y8hSTvjzLk5PxUVOtbWIkiSzMCAixMn7AwNeXdse/CgmaoqLb29Li5fzl4IeviwnvHxMJIEp07ZefObj9HUZMnwOXU6nYyMjGAymdKJ01IXZqY8xeLxeIa0s8FgwGAwpBO5Ho+H1dVV7t27l07k2u32gm0N9uMh94SQKxyyLDMxMYHP5+PUqVNMT5fOuqMQbPet25pzzDXveDwexsbGOH78OBZLcWN1MbhxY5EPfegq3/zm1K7b9fTUMDvr5c6dzIHJaFTR2VmNSqXk8uX5dEfcxISXmhpjeu2s1So5fNiMyaQmFIJ799Yppk/DbtexvByku7sGQRDSvpfFQqNRcOBAsgBQrVZgMKgZGAjjdieTkHNzmWTfU081cm8puX5PofGASHTkHtGyKIIsI2f5jX17xFahsgOYpAhKRfL7fcF9JP1erUpiLbb7OKJnZcdro9Ib2JALX3vXK3rTf0vC5nXIsszk5CTRaJS2trbHen2uVCoz8nnBYJC1tTUGBgbSNlUVFRVYLJaMz5FqMjp27Fj6OdxtTkn9vbi4yFNPPcXrX/96Xv/61+95fU6nk4aGzYVHfX09169fz7mNLMsJQRA2gHKgNAGxDOzRefk44bEj5B70A5AKzPZaCM3Pz+N0OrPKdOU6ZqmxVydfqjoyEAjsWh2ZCz6fj6GhIY4ePZomHHPpLad853b73taCH+CIsjBD8r+M/hr/GP/pXbc5sc0/Li6rmNNl71YsBmJI4t6H2jNflL2gtoEUBsWmz0dkIwx72H5cvfnzHP7mOCfekLtFLKrKvvANu2W++b6fQZazTE4BL6lgMBQW2dXibImsceP67HF+8E6BV3zyGpoyBUFFaQmRGWXSqFmj2vs+CAk2dFEfEW1+i7Pb1otMzz9H29FV6k3F6/5nw9eq3kIk+hvotMnrPqYa3f9BJZkPtiR/x72MW202WzooKibA2TqhTkxMoFAoUq3gO+S9UtubzWbMZjPNzc3E43HW19dZWFjA7/enu/nKysr2HCuLLWZ54iPwcJHvPOXz+RgYGODIkSNUVFTsuu2DkKwcVxr5cvzl561Urni0XS++EssP74VQKMpUzLr7PFRi+KSd48WGnH9wHy7xT6RCpmvdg++TP2Dk8/1Zt2ltNdPfn1wLVFYauHdvUwhmaCgZd3R2VrOxEWFy0lv0tRiNKnp6ksnlvr7VtOyNwaDi4MGytKE7gCTJHD5s5/r1RS5fLpyUO3jQRm2tGZcryNjYOqurmwU4Tz3VwOXL8/zyL5/i4MHkunJ7ZafH48HlcmUkBPOp7MyGrXNfIBDA6XRy8uRJBEHIKe+l1WozfBo2NjbS87FGo0l3z+Xj8VZMl0ChsvlPsD/kO/fF43H6+/uxWCy0t7fn9RuV8rfMdz5N2RM0NjZSV1eXXuflE/ul/NB9Ph/d3d2oVCoqKipoaWkhEolkEOfl5eU4HI6iO3sAjPrfRYr+0wPtkiuXV0E+ktNOYDcML9Tlva0qhzpKClPTVkwJMwHV7p5nAEpl5v0Yj2efvzXqzS701KcrZMk97ypjex/7dg+5iERhLN82TLgbOd0yz79saQ4MqlKfTwCdivV1gcZGgbo6I1evBklk0Y82mYxcvjxDTY0OvV6kt9eDTqfC4/Hy+tdHcTq9TE76CIV2f5ZbWy3MzKwR3YVpbGmxsLaWnCMjERGn00dzs5GZmSAKBXR1lROJxBkYcDOZwzcQoLlZy/x8jHhcxm7XYjaraW7eXJNs9zn1+/2sra3R29sLkJ779luYGYvFGB4e5tChQxnjSKpjPDX3KZXK9DlTiVy3283Q0BCSJGXYGux1PfvxkDOb8y+k+mFCseNoqgDDYDDQ2dlJNBp9JI0A8Xic3t5eysvLaW5uTs89u807i4uLLCws0N7eXlLJ1N3wgx/M8eEPX+UHP5jbdbuqKiMNDWZu3sws8rbZtBw9WkYkEmNsbJXV1cxO3EAghsejpL7ezMKCn2hU5N69zXHfatXS2lqGVqtkYcHP7Gx+ymFWqxa3O4woSty6lV2mcbd9m5osWCxaEgmJtbUwMzMbjI2t09FRxexskMZGW5qM2wqjUc3x41W8+KKLlnOvZSv/pfEtMHprCVObmmpZZEnYSR2s7tHhNquwcUpeQbi/DnhJvrj5ZtAH6t2LOzVZCLnr4rO77pMNVkHCLGweS1YkJatThViSJHH8+PGX1fpcEARMJhMmkymdz3O73czPz2fk80wmU1qCPVWcmA3bi/3Hxsb4/ve/zy/90i89pE9UQjxMn4p94rEj5ODBy3Ylsq0E7yNV+RGPx9Mk115IyeSUEqkFVa7zb52cOzo60teeLxm3srLCzMwMp0+f3lEJuVVveWtnz+zsbEaXzdZkxWj4DucVhXkFDIon+O3Qx/fcbjshNxg9ScJYOok9/+f0RFYygzKDKUwIG4IcQd7KwMXzWQAJ/L+/fRd1J/8rtros28sycV326//O758h6MlRsRnYDKISCQXs9hVEqsGzCGU7j+WZP8b336ngFf/jJSIlJuTWHMlqB7Vq7+dhUT5ApWeauer8pCF7G1+JezD5W9RZ1/fYujCEdVa+O3KCZ9p7AThetns1VT44NL3EG15jy/peNuPWtbW1DOPW7c/YXkglWiKRSDohCTvlvWCzqj8VpKnVaqqqqqiqqsoIGrd285WXl2M0GneMLZIkFe0j8ISQy8SDXAQqlUqi0VxttUksLS0xPT1Ne3t7Xt2LD6IY5eNCFfLLrDsOYDmHP8rDgIDIcgGdYqWA0VTGejT3ov5BwCPvvCe9cv7XECrRstIiSJy6t8DkB/6F63d2l0+WpM2xcXw8e+HfnTvLKBQC587VMTeXlLbMF3q9inPnahFFmevXFwmHExnvbSfjUtg61ly+vMD583Vcv+7MWtWrVAqcOOHAYtEwM7PB5KR3B3moUgn09NTy4ovzXLhQR1dXdim47QnBlHT64OAgoiimfREKJQHW19e5d+8eHR0daWJvL3mv1H9lZWXporRwOIzb7ebevXvpbr7y8vKcahHFJCWj0WhR5OMTFIe94j5Irkf6+vpoaWnJ20tNoVCUlJDLx/7A6/UyNDSUVm7JZU+QDaIoMjw8jEajyUo46nS6tD3D9s4eq9Wa9p0r5H5v1bdxI/yvOKf8St77FAqNEMeYiBBUF17Ic3cmf8nKcB7V1kpXFdTsTcgpFJn3YyxmyFrbIib2V2gztmxne4QV2SbjFJUEBEX2zod8cMNZyVOHM6U6/VE12GVYF6DGhNe7ikYjEQrFOHxYjUqlor8/nLHP8nLy3l9airC0FKG7u4yFhTC3bi3yuteVMz3tJxwWOXDARE2N4f4+Yaan/WmSsqHBiMfj21NeWaPJ/A683igVFVpe/eoqRkbWuXlz72R4XZ2G9XWJcDi5Bu7qcnDpUm6Cd2thZktLy47CTKvVmrY1KOQZi8Vi3L17l0OHDmVIz2brdIDMwsxUIndrN9/i4iKjo6OYTKZ07JetMDOf4vZs+FH2kCsGoVCIvr4+mpqaqK1N5nQeVCNANqTmltQcefDgQSorK9P3VCqXkG2/iYkJQqEQXV1dD8Uz9/nnp/joR6+mvdJyQRDgwoV6BgZWM4ivykoDra12FhZ8SJJAb2/uXNPaWpiGBjNWq4qNjczxfGMjmnHcmhoTzc1WJElmYsKD2x3efjgAjEYNZ87UMD/vJ5HIvRaorjZSX29Bp1MSjYo4nX4WFwP092eu9a1WLcePV3D1ajJOaWnZWWTb0GBGrdbfl+1VseTdLChorlhn4layIkGvN1EdSrBkyqQODIKMe5cOOT0yU1j4V3Ky0F2WtXwztGkRZDSZYZfURI3Ch0Bwx+s3Eudz75QDtarNE0lCDQhmZFlmdHQUhULB0aNHX1ZkXDZslShPyfUvLy8zNDSE0WjE6/WiUqmy5vO2Y3Jykn/zb/4NX/3qVzl9On8bn7q6OubnN7s7FxYWqKury7pNfX09giCoSLaR7K4dXQhknhByjzN2m8RisRh9fX1UVFRw7NixvB9KpVJJLLb74q9QpAKzbBNYJBKht7eXhoaGoqojZ2Zm8Hg8dHZ27rmY2t7Zk5IeGhkZIR6P30+sOED8LyiU+We7QrKenw18nshe7WbACW3mQv+W1JP3efaCGBDpf/9OU89QJAZ6kKVtlSTx/O6JQLic5z78U/y7P/8C23M4ckQiYtwZZM18oYbpm6/MfkBZRhFxkJ6ehTwWwcuqHd4BKXgXjvD9dyo48gsv7n2cAuCvriEWVaBR790h59IfpjkxxNyOcDE7ggY7y+FyYJbaig2EiJRhCrtffM33ep6hF4BjdYsgyuynbPT9ecb52/X+U8/Y6Oho3satW1vtT5w4kTEG7CbvBTsTlNmCRrfbzczMTEbQmJL32o9syZOg7OFht7lva7f1mTNn8pbpKrV/6ndDAlcK8AR7XFClkBlPPDq5yhPKeW7EDz3Uc8bymLtLjTmpkirBz8oW8nFNyl82M7BPr5wGOUHTiyPc/cPnuezaW5a5utrI0FAyvjh40IbdrqOhIQGIRCIiGxsiTmcQSUp2rV275kSjUXLpUj3Dw2us76JtrdUquXChjnA4wQsvzO8wqNfrVbS22nMawo+PZyYarl510tNTQ1/fCrGYhMmk5vhxBwoFjIy4dzWWT1bmWrl61YnBoMJo1PCv/3V2s/StEAQh7XO6tVM7RQLk67vqdruZmJjIIOMgtxRLisTY6j2XmgP1en2alBBFMV0sMzExgV6vTycoU+cpZv57Ite8Ew+6GGW35GWqW/PUqVMFdW6k7ApK5TOyl/1BLnuC1L67IRqN0t/fT01NTU4/9K3Y3tmT8p2bnJxEp9PhcDjy7mrV6d8DsQdHyAGYYhAskBtQimWsB/MnvPx7GeUAs302bHms/RXbPOTCcSPZRoRodH/z7LTbikpWkxCSMZkgC0hZ4ia9EkJFLuVikgpByBwD5Q0lxk6R4LdVYNFhMFi5edPPoUMSgUCEUEigs1PH/Dy4XMnvYmIiisOhx+VKJqtv3fJgMqm4eLGcgQE/ra1aKirKEUWIRpMXW1eno6FBj0ajRJJkBCHO7GyMYDCWJsqyYWVlMyGu0Sg4c8bB0NAalZVampqMqNUCc3M7k8ApOBxqYjEFPl9yjjaZVPj9UX7qp/Jfh20vzNzaqZ2v72o0GqW3t3cHGQc7Ox22EnMpkmXr3Jetm8/tdtPfn+z+T819qW4+URSL6ngKBoM/sh1yhSLl/Xfy5MmMrpaHRcilmgO8Xi+jo6O0tbVhNpvT91AuMk4URQYHBzEajZw6deqBzu+yLPOVr4zzkY9co7d3ZyfVdhw4YMNoVGX4Jzc0mGlosHD3bnL/9fVwXl1t8/N+mpuNxOMQCuXO/i8tBVhaShbaCQIcPFhGdbWRUCjO2Jg7va9Op0SpVDA3lzy3QgHNzTYcDgNqtQKfL8b8vI/l5SDLy7nHJ0jKcM7MbKTJOACfL/Oe6eioYmoqwsZGsoik5uAJlqLJMaPWHkDh7id0v5JRkgSMSxFozXzmq1UyU7vkys6N+JloEjgoJknSkHSC6BbDVP8espNHFNm7HG/GD+66XzbUKTaLZWThMLIsMzw8jFar5eDBgy97Mm47BEFAp9Olc/4GgyFd/B8KhXZV55qZmeHtb387n/nMZwoi4wB6enoYHx9nenqauro6nnvuOT73uc9lbPPss8/y2c9+lvPnzwO8GfhuyfzjXob4kSTksiUQ/X4/AwMDtLa2FmyS+qB8dLJVH+2nOlKSJEZGRlAoFLS3txcVRG6VHkokEqytrXHN/SV+svwHBR3n3aE/Z1g6kde22wm5EWXp/OM8n9UTX2/c+Yb2fhAkbzfezv+RmVp4ilufG+XML2R2+BFMELFmJp3X+hV846Nvzn2w8BpSbMt9qcijujpaCesLYM8efG8stnLnT4NYmn2oTpZG01tGwcqiEbVq7+dhUXmAs+L3Cjr+HA3AHdRqiVr3HE5jc3EXmgVfr/kF4CMA2CwRGmYnmbcUl+RunFjiJ19rK2rfQo1bU1VosVhsz1b7rQlKtVqdNUG5Xd5Lo9FQU1OTlrPd2NjA7Xang0aLxVJUR3MgENjVm/MJSotc81QikaC/vx+TyURHR0dBC9JS+qfKMvzB+stzSVId87Oieni+CNtxQrXKV6LtD/Wc0UdAyN1L1FKr9LKS2EzmrBZCyMkgIBfcgdkWCaH9/E1u/9kPmBfzH+sOHbLfD6SV3LmznJa+0utVdHZWMTm5glarpKZGi9WqBZSsrka4fHkBk0nDU0/Vc+fOMsHg5jpErVZw4UIdGxsxvve97IGqTqfclYwDcLvDHDlSztjYZkHirVtLvOENB4hGRa5ccXLjxu5VxgD19WZUKkX6XGfO1OBwGLDZCk/Ube/U9vl8Ozq1HQ5HRmXnVjJOo9ldOWE331XILu+VSkKmuvncbjfDw8OIokhZWRnxeGEy7ZCc+550hz885JrTUgWKa2tr9PT07Hn/bEe+Fgj5IpdkZWqN5/f7i7InCAQCDA4O0trauiNpnw8EQcjoIg0Gg7hcrnSiPqXokKvi+rC+nevhZzir/EbB584XumgIjIXNSVIk/+44gI3dBQYAmB45Sscbb+253fYOuUDEkJWQi0Q3Y71iM1WGhBWfOtmdrchRxKjbByEHEEtoUAgSUjq5KlDeKBMEFEol4YiSRAIMhjKmp13Y7UqWl2MEgyKnT6sYHARRFDh0yI7LtZlADgQSXLnipqlJRVVVOTdurNDYaMDtDtPQYCQSkRgb8+D3J7h0qZKrVxc5c6aSUCiKLKuorDRgvK+oEwjEWVmJsLwcZHJyA6tVzbFjZczNbaT94a5eXaK1tYzFRT/nz1cxNxfE6cwsvrHZlGi1GhYWNhPiPT2VGAwKKiqKWxdl69Tey3c1Rca1tramCzp3O/72uW87SZerMPPAgQPEYjHW19eZm5sjEAhgsVhIJBJFFZbEYrEf2Q7xfOMrWZaZm5tjeXmZ7u7uHd9Xqjv7QUOhUDA3N8fq6ird3d1oNJo9c46RSIT+/n7q6+vTHX0PAqIo8cUvjvLRj15nZGRv2ymNRsmZMzVcv76Y9oI7eNBGRYWBW7eW0OvVNDZaM4i6fDAzE+ToUQvj4z7yCYdlGSYnPUxOJqXs1WoFJ086KC/XYbFoWV+PcOFCHevrEWZmvGnP6XxRXq7n4MGyrOv32dnNMevSpQauXnVnFPNVNB5iaQbKDD4S8y8xtboZk8diMuqxELTaMo5ZppSA7EVpFUgEP7FI6McsNMnJ61mIZ5I7zj06z1sVOz9HRDYzECt8DV2r3Ix3JKGVgYEBTCYTLS0tBR/r5YDUHHH48OH03FJXV0ddXd0OdS6tVkssFqOsrAy9Xs/b3vY2/vf//t90dXUVfF6VSsUnP/lJ3vCGNyCKIr/8y7/MiRMn+MM//EO6u7t59tln+ZVf+RXe/va3IwjCBLAOvLWkH/5Jh9z+8bAlK1dWVpicnOTUqVNFBcml7hKA7IHZ0tISMzMzdHR0YDAYCqqOjMVi9Pf3U1lZSWNjFgKqCKhUKioqHZz0frKg/b4QezP/O/bv8tq2UrmMQ7XZgh2VNMxr89f83w1iQGLoT47ufENOgC4VtG77XcXCkkz/+E+/RGXrH9J8dkslSzBB1L5Z6RQPyTz/+/8aMZH72EIoiMwWQk6Z56J/Wc8OA4EtSPQZWT+rxvwXq+h/sTK/Y+6BVY+FMtPeo6CkUBFYjUBT/seeNx1GlASUCpnKtbGSEnJzFW2MLzbSWptMcrZ5bxZNyP0XR2nGg72MW+12O5FIBEEQitK93itBuZe8VyQSYXFxkVAoxI0bN7DZbGl5r726BkKhUMnGoifYG9kIuZQUSnNzMzU1hSWnoLRdDV8MKrgdfXRdZvuBUqd/pAs/vaAmvKuGcekRyZo+fLAYTtTSrMwMvJ1y/oScjIAFmXzcHFSyxCnnMoH/9RIDXxrK+xy1tSbq6swYjWpMJvX9cTtOdbUxXdEaDie4csVJZaWBgwfLuHbNiSxvJv3MZhWNjUZEUaKjo5pwOER//zo9PXWsrYX5wQ9yG73rdEqOHCmnry83GZdCZaUhTcidPVvL6mqI55+f5tKletraHITDCYaHcyc6jh+vYGUlmJbfqa01IUnw0z99JOc++UIQBKxWK1arNcN3dWpqKu27qtVqWV1dpbOzs2AyJR8j89R2qTkw1c3X2NhIIpHA4/GwuLjIzZs30/Jedrt9z2sJhUJPOuQeMURRZGhoCJVKRVdXV1EFiqWO/bIdTxRFBgYG0Ov1RdkTpLra2traSnbPbe1qTT2Xk5OThMNh7HZ72ndu63eq1v8exB4cIWePrzJLYWTj8nJhXTqRhIBeKxOO5v7Or9+s5IysIi7sviCQhUwif3kdqrIU/IfC+/dcEiJlsAchpxH2pwiyuF7B8TovgwtbAs77NUqSLDAfT+ZW7twJ85rXlPOd77iw21U0Nhro6wvR1KRGpUpKvaVgMilpadEAEbxekbW1KA6HGqNRhc1m5fLlJeJxiYoKLRcuVAIihw5ZuXp1GY1GSU9PJaOjazs8kwwGFYcP2ygr0xIKxYlENtfFspzsmEskJK5eXUKlUnDhQjUzMwEWF0MYjQrsdgNTU5udFhpNMl/zlrdkyScUib18V202G06nk6NHj+5Jxm3HbnNfrs5xjUaTlkGTJAm/38+9e/eYmprC6XSmC1cMBsMPXZfJw4YkSQwPDyPLMj09PSXrwC7mOsLhMB6Ph+7ubiBZtJS6J7LB5/MxNDTE0aNHH1jBbTwu8rnPDfOxj11nYsKT1z7Hj1cQicTTXsnHj5ej16u5c2eZ1dUQ587VcfXqQlbJ9nwwOurj3LnaPaUyt6K52Up1tQmTKVnQMzbmpqnJSiwmsrwcYH5+b+nj7Th3rpaxsfWsZFxtrYnFxTg6nYr29houX965tl/y2jGqNvAMfQeHw8rWMpBoVCZ22w8/nrmPTgnkICKP/PM6alPyGFUkr6kv2pl+v1wh495DueSoYed1Xgn8GLEi5qt6xWYH5cKyCYvFQnNzc8HHeTkgFovtWrCxXZ0rFArx/PPP8573vIeZmRle+9rXEolEiMfjRRWdPfPMMzzzzDMZr33gAx9I/63T6fjCF74A8GDkfWSg8HrJR4bHkpB7kFCpVOnFRkrmbWNjg56enqKrHEvZJZDC1sAsVR3p8/mKqo4MBoMMDAxw6NAhKip26gfvB7cDf8+rlPknq2bEJv5t6H/nvf3Jbf5xfaFTiNbSVKPOfUJBwtuQ5Z11UNwnp7YbkcuFEbaSrOZz//PX+e0jH0Nvu3+skEjcsXmcF/7oOJ7F3ccjvWgina6T40Ce30GsHNbmoSLL55Rl8FtAXMH/S/XEf+DE/D/LEPT7GxZWQ3bKDLkThlth1hVWTThS/TTO5c/QWLtGc3yWu8Vc4C744uQF3psi5BL9fIO3FXyMqvElfv51pV+IbjdujcViDA0NEQqFUCgUDA0NpT0+ihnL8pH32t49p9PpqKioIBaL0draitfrxe12p2WNUkFaNlmTJ5KVO/EwZbtS1bdtbW1YLI+uuwsgLsP73C/P5YgGmbHEo712SXj43TYheX/eNsXgnlhBl2o247WFRGFJWJNCxrdLAFiGROP1QZx/epk7wzu917aiqclCVZUJjUaB3x9jdjbp/7a4GKCnpwa1WplRbWsyaaivN2Oz6VCpBMLhBAsLPo4csaNWK9Neb6GQiN8fRxBEQCIeh7Y2ByDj80Wprjai1aqoqNBjMmlQKgUSCQmfL0ZFhR5Jkrl0qZ5YTESlUqBUKpAkGVGUiEZFwuEEgUCUUChGT08N6+thrl/fDOB7e1cwmTQsLwdpa3OgUinSUj4pnD1bQ1/fakYy88ABG0tLAV772gMF/CL5Ybu81+zsLHNzc2g0GgYHB9MSeoX4rm5FLnmvVKFKNnkvh8PBzMwM3d3dBAIB3G43AwPJNavdbqe8vByz2bxjXH8y9+3Ew0zipmT/6+rqaGjIFgPkh1LHftuPl7rOlIRqofYE8/PzRRPW+WLrc5lSdFhaWmJ0dBSz2YzD4Uh2toaaeUl8DRe033kg1+GQVhDkI8hC/slrf7jwccpq2p2Qi8eVmANVrJt39xYNRzN9QgNi9jVYcAshV2yZciRQBve5R4WcvVBOt8+c/+2FGtoaVjMIOZcogEIGSUBp3vwcExMSTU06ZmcjRCISHR0m7t5Nfh9PPWXh6acjrK8HGR0NcL8JEwBJgoUFL+DFalXzzDP1RCJxXnppkW9+M7ku6Oqq4MgRC2VlOuJxEZVKzaVLFfT3r+DzJbNzoigRj0t873vJuVkQoLXVRlWVAZ8vxujoOmfPVnP9+vJ9Ym6RujoDZ88aUatNXL6cOReeOVPFyIibN72p9PMe7PRd9Xg8DA4OotFomJiYSJPgFoulqHG0mMJMq9WKyWSivr4ejUaD2+1mamqKcDiM1WqlvLw8bWuwFT/CimR5IdXRUl1dTWNj4yMjN+PxOH19fSgUCg4fTsqP7zXvrK6uMj09zenTp3eVWS0W0WiCz352gI9//EZa0nEvmEwaTp+u5KWXFpBlOH26ElkmQ9FhZmaj4K64bLh2bZFLl+rTpN9WWCwqGhvNmM16wuEEHk+UujozbneIa9c254rGRis3by6h0Si5eLGeoSEXXu/erdnV1UZqa827EoK1tRZkWcJsNnHt2k6Sq/ZAC25vgOjsd2ltNTE+nvmsRiIya9/zwvsy98t1i7YkRK7+9jyvfkdyTW6XnSDA94Md6W3qVBLu2O7F2w3KnX6eA5qfgtyK/jlRt0X+UqU7QXN1c+EHeRlgq69ovgUbBoOBCxcu8LGPfYzPfvaziKLIc889x+/8zu9w+fLlomOrRwaZnETx44iXZwZsH0glJROJBAMDAxgMBjo7O/c16T1IycpUdaROp6OzM1lVUEh1pNvtZnx8nJMnT5ZcIicohjgi/lfytfGKyyreFvy/bMi2vM9xYjshFzydtH3cJxIbInP/vSP7m4ot8hSKbd+voIVYBDT5Vy16A0188cOv5e0f/FbyhZCIeDi5WBn/RyPD33rT7geQE4RWbVteCJM3IQewYoJyCbYHqiE3iGqSP6BA5DP1KAf9GJ8LQkvxyaKVRAWndDN5bbu2Wlj5wpWKi6xOmmisXaNVtXvAWwy+W/423stzADRG+vfYOjt+r+zBl2TIssz09DR6vZ729naAtLzX7OwsCoUiHcDlY9yaDfnIeykUCuLxOEqlMkPeC0jLe42OjhKPxykrK6O8vDxdOR0MBgsek55//nl+67d+C1EU+dVf/VV+7/d+L+P9aDTKO97xDm7fvk15eTmf//znf2irnwpFap6SZZnZ2dm0BMnjIB3z1z4FU3vIVjyuOK6R6N0joHjQCMkPP7kffATnFFGCkDn3TouFFRkZFOxofAdoluJUf6ufO+//F/p8mZ7ASqVAc7ONykoDCoWA1xthZmaD2VlfVp+JS5cauHx5nuPHK7Db9ayvJzvIAoEYo6M7Pat1OiUHDlh59tlDBINxolERrzfC4qKP9fXUtQQ4fdrCoUMGVCo1sZiAQiEgihKRiEQslhyb79xZYn09ikIh0N5ehSiK3LnjJFserKnJxtSUl8ZGC1VVRpaWAkxPbxAIxDl6tJzl5WCaJGxuNmEyKRka2uDixXquXFnIOObJkxUIArzxjQdRqR5sRbfb7cblcnH+/Hk0Gk1Rvqu7YS95r9Tcl9pGEATMZjNmsznDC29+fp5AIJD2wrPb7ahUqqIkK5/MfaXBdtn//aDUsd9WZZSNjQ0GBwc5duwYdru9YHuCsbExJEmis7PzoXVYbFd08Pl86a6eRCKB6tBvwAMi5NSImBNBfOr8u96WPAXIc9yH2QjLO4fwDITmauHE7vGJwZRJkLr82WNKf2gLIVckmeHxlmG4L4CQq0NOrdgfUTK2buPV9ZnFMmGvEt1xicigEnRqjEYlwaDI7Gyc173OxuzsMqGQxMBAkHPnLFy75iMSEYnFRAYHQ9jtSurqjGg0MtFonI2NOEePGrBa9eh0GhYXQ9y8uYTBoOLs2SpEUWJgwI1Wq6S8XM+1a4uoVAocDg2dndUIAly/vsiJExXcvLmCwaDCZtNiNqvR69XE4xJms4ZXvrIerVZJZ2clbneYpaUgsiyyuKhgft5JY6OZxkYLLleEiQkfWq3Aa17TgMFQmmLh3RCNRtN+lzabLT3XLCws4PP58vZdzYW9CjNTqkypsU+hUKDVajOKZVKFmdPT02g0mnRcuDWhW0hM+sM09+32uVNj/tGjR4uSFi4VQqEQvb29tLS0sLq6umcDQEr6OeVTVSoJ583rifPXf93LJz5xc0/ftK3o7q5mYcHPlSsLdHdXEwjE08oR9fVmHA4DN24slfRaL19e4KmnknKTNpueREJiYcGP0+lnYsJHa6tEJCKysBBgdnYjvZ/VqqWsTIfJpMJi0eDzxbhyZQGrVculS/UZMpvbcfFiPf39q9y5s5O4SkGrVVJRYSIUklhfj2K3a4jHk9cSj8uAgjWPkZjvu5iNAnNzSraXgITDEkFXglokFrfMI7nctK1/uYQUh6gmeRwjTmRZyVeDm5KV5jyWJrXKnb/R9UThMooA9YqJ9N8VlReLLnJ5nJHqjMvmK7obXC4Xb3nLW/jQhz7E61//egB+/Md/fI+9HnM8kax8fKFUKgmHw9y8eZOmpqaS6Bs/iA45hUJBJBJhZGSkqOpIgPn5eZaXlx9YdWS//y94jSJ/UuR9kT/imni+oHMc12Z23w0GmgvaPxfm/lxFwp+jMnZrMkmRJdEaCRREyAEMjP0rrv/fYc6+zUkkoQalEt8MfPdjP89eMiHK8Boi1VteieXcNiviZeCag8pt8oA+H2ADHCgUCSRJRfCmmVB7lIrPriP8ZGEyGCm4NNUYDPlNc5Jc2BAU0Zrx0gjMUBmf3XP7QvHdqmdwew2U20J01+TX5bcVtvEl/t3rStuFuh2yLDM2NgbAkSNH0uPAVnmvaDSaYdyaIsOyGbfmg90kTgKBQJqY29pBYDAYMBgMGZIrKysrfOADH2BmZgadTkc0mocpx32Iosg73/lOvvWtb1FfX09PTw/PPvssx48fT2/z6U9/mrKyMiYmJnjuued4z3vew+c///mCP+8PI1JyzYODgwiCQHd39yOTQtmKgAQf9Lx8lyLGx4BHdBfYuV0KBChM7qtUiAuZlbcTYiU6ZCJ5ypfotnW9t4cCKP7+Onc+cZkZGbRaBUePlmO3J+f49fUI09PeDM+H3dDRUcVLLyUrZEVR4vjx8qwVs1uR9FsTeP75aSwWDWtr4c3r1SmpqTFjt+soK9MhyxLLy35UKolYTGJ01M+xY3ZMJh2Dgy4OHLBy6lQV4XAibQLf2lpGVZWJkZG19LG3VvKmzOYh6T9x6JANrVbNK1/ZiN8fQ5bjgIzBYOAVr7CSSEgcOGBlamozoSAIAiMjbv70T1+z53e0H7hcLqanp+no6EgnfvbyXU116RRTfJBt7kvNf8FgMjm0fe7L5oXndrt5/vnn+fSnP82JEycwmUxpcmUvPJn7SoOFhQXm5+fp7OwsSbVvqWO/1L2wvLycvscLtSeIx+MMDAxgt9tpamp6ZB0WKQ+q1dVVrFYrLS0trK+vcz36Cs5qC/MczxfWuK8gQm7MWXj8b9DvHdtMDtRRd+LmrtuI2+K4gJw9cbYR3OIhJxf3Wzrddlrv/y3I2e8fMRqBfcpQK4RtiXhZoPaIzNQgrHqVnDxiYvBOcs64di3C+fM2rl71kkjIXL/u49IlK9GoH4Ui+Uytr4usr/uoqtLR2momHPbjcGjxeEJcv+6mszP5W4dCCa5fT3atmUxqjh2zE41KdHZWsbISZHDQDbiprTXyilfUc/euC71eRSiUIBRKPlfHj5dhMqmZnfUzP+/nwoUa7txJJu9PnDAxNRUhHE7GK3NzfhIJkQMHLBw4UENfn5t3vevBznuw2TF79OhRbDYbsLfv6oMqzEwkEoRCofTYtLV7bqsMWjgcxu12MzIywrve9S5OnTqFSqUiFovllZf6UZn7FhcXmZ2dTY/5+SLfNUS+WF9fZ2RkhJMnT2KxWPB4PIyPj1NTU0NFRQUqVWasJkkSIyMjKBQK2tvbSxpT+nxRPvWpu3zyk7cy1sR7weEwcOCAldu3l+nursFgUHPrVpKsSvnI3bq1xMJC4ZKQSqVAZaURu12HyaRBrVYgyxCJJNjYiBKJJDAYNCQSoFAk/eEaGky0tVUQDotIkkwiIaLX6/D7I2xsRNHrVdTVWVheDnPlyiIajYLW1jIqK43EYiIjI26qqozU1poyCMSGBjNlZfqM7r6yMh21tSasVi0KhUAoFMftDtPYaCUYjDI8nE3KXotKVU3Mm8zn1tXVMTq6s/0sEEgSglWBGIumzRyoJ4viSHsgxt2PuzAYIHR/WtDgJCofxiMV1j1ZIewkGm/FilM2qIj1ghpk9MjCD59lSjweT5PphZBxbrebN7/5zXzgAx9Ik3EvezzxkNs/HmQAEQ6HcTqddHZ2YrWWoNWKB+Mhl0gkGB0dpa2treDqSFmWuXfvHrFYjM7OzqIS8HthLeGimz/Le/vvxF/NhyK/t/eG27BVsjIs6Vg0Fe5ztB1xj8jcJztzb6DdIh2izLJgLIBE2Iqv/ONv0tzxPtSSBikh8833vJ5YaO97UPRumxiFIjqwXDaoEDMIRl1MuN/xrcZg8BAIJKuFZb8W109Vo//3C5g+Xo6gLez+CVU15X2NCaFwf4TrKw5eewLs8cIJs70gKVR8d+Y8b2n/DgfLZ7N2UuyG/2gqkCwtECkyThAEDh8+nHMc0Gq1uxq3poK0/cp7rays4Ha7aWtrS1d3Z5P32iq58md/9mfcuXOHP/iDP+B973sff/zHf8zrX/96nnnmmV1Johs3bnDo0KG0+e5b3/pWvvzlL2cEZl/+8pd5//vfD8Cb3/xmfvM3f7PkAcuDxIO8zkQigdfr5fDhwzQ0NJT0XPv5jj/uVbIqvjx+n2yYe4SdfQIy3QE/hjuLdLXCmMVMoMikXaHYkB4+CQgQETfHrCOJKHzgGxxe9TIdlnF0N2A6UY3QXE640oLLqGdRUJHYQtZpBdAi07nkwv8XPyBxz4XJpOTEcTOhkIL5eX/WLrZ8UFdnZnraiyQlk7ayzJ5B/6lTlTidfkZGkuc8csTO2tpmoVMkIhIKxaipMfKDH8xx9mwtQ0NJYvDs2Wpe/WozLleIcDhAba2eiQkP9+55OHky6Tk7OJiSwUzQ0mKjo6MKhULA749x6VI9ALGYRDgcJxiMYbcbUKuVTE15qKszc/t2Mhg+dqyc1dWNjM/T0mKjrs6ESqUgFktOlm1tpfGizYbV1dV00ipXFfZevqvl5eVUVFTsW94rHo8zMjLCsWPHMjqltst7bfXCa2lp4VWvehV//ud/zpUrV2hvb+fChQu86U1v4tWvfnXORNyTuW9/kCSJaDSKy+XizJkzJYuJSh37ybJMNBrF6XQWZU8QCoXo7++npaWFysoH9xzmg5RHn16vp62tLS25PhT6A4g/GELOEg1BAbm+3tnC/ch1eXD6L71Yx8/8LOw2FUfjmQnm5WB2MmzVvbkeTogiUPi9O7GyScgpcuyvUyv3Le8UknaOydrKTQJTr41z/rzA0pKCmRkRpdKAxaLC50vc77aOEg57SSQkzGYVJ09asVgUBIMx1tf9OJ0+JidFjhyxUlWlQ8yybgwE4mlyzmpVc/p0BYcPW0kkZG7fXmV9PcrycgiFAk6dqsBs1jAx4WV42ANkFtyo1QLHjhnp7w+gVAq0tdmxWtUsLgaYmvKyuLjBG994EFGUedWr6vf35e2BcDhMX19fBhm3Hdt9V6PRaFpKMuW7murU3k9hZrL4ZoTa2loMBsOu3nN6vT5dVP7888/zla98hStXrnDmzBkOHjyY9hnK5WH9wz73pfJ1wWCQnp6eHYTXbkjF3KWazxYWFlhYWKCrqwutVosoihw8eJBAIIDL5WJ2dhaNRpNeXwmCQH9/P5WVlSX1g3e7w/zP/3mbT33qTl5yjVtx4UId9+6to1IpqKkxZUixt7U5CARiuxbIWa1aHA4DVqsWnU4FyHi9fuJxAZ8vgcsVYmkpkFHElkJ1tRGDQc3aWpjbt5cpL9dz8KANjyfCjRtLGf50druOY8cq0OnCjIy4cTo354OeHgc3b7oYH98cj5qbrahUCl7/+gMsLvooLzfcL7pTcuFCHT5fjMVFP+vrETyezZxhQ4MZk0nDiy/Oc+lSto5wAxpNJbFYcpw+fLgiKxknCBAKJT+AcTkKh1K5O5nlbYScApnA7yfzc01NKrQOJfXSBoIQYDnenrGtP4/lU5kik5Bbl5qZTBTXZNKsHgRApCW31ubLFPF4nLt373LgwIGC7Km8Xi9vectb+M//+T/zpjftodj2csITQu7xxFY9/ZqampKRcVB62ZLl5WXcbnfaiLGQ6siUFKfVat01Yb9fTPo/wqsU+Wk4r0oOfiH4d8j5alveh5IEhzWj6X/fCXUh1doKOkY2zH1MjRjMsXiWw6Ddcg5lFsIoWpwkYVw08rk/ewdv/oVPc+0jTSyPt+e347ZAzWiEYKE5gLgFlXeehH2zqiTu3pzQAoHtn0kg/L8aiF93Y/2CgLIACcs5Uw0abX7PQ0xrRxMPE1PnTwxN6o8AcMThzXufQvBPoTfwFr5DudVHxYKTNWN+QbtpcoV3v9rxQK4JkmPY6OgoSqWS1tbWvJ/tbMata2trjIyMEI/H0/JeKSnJfLG6usrc3Bzt7e3p5GgueS9BEFAqlekkZXd3NyaTib/6q7/CYrHwrW99i0996lOcPHkyZ1LS6XRm+L3U19dz/fr1nNuoVCqsVitut7vk3pkvN6SkULRabUkDJ0gG58UGv6sJ+IT30co97gfNKomZxMPvMlQic2bdg+azV3nh07dQq5UcO1ZO5N46J99yCtszx/EcqWVMo8sgo0oJ7yPoygNwByWMijhH/uUud9/zPLIoM0ZStuXKX17bsb1Sq6Sxp57yrgYMx6qpsKpR/90tnAMrzM/7sko5FgOdTonBoMLp3CSsklI+G7S1OdLSj1tx6VI9V686EcXNixgYWEGrVRCNSlRU6DlypJzbt5d46aUkSZdISHR3V6PTqZic9FJZaaC/35veX69XUlurQ6WKI4oKzp2rZn09xr1762g0SsLhBHq9Om36rlYrOHnSgcWiZWkpkNH1Fo/HEYTUdS6SSCQXHgcP2qiuNhGNJhgZcWOxaAgGE/z2b58pzZeZBSsrKzvmm72w3Xc1Ho/jdruZn5/H7/djsVjSCcpCZJZSydHjx4+nYwm1Wp2X72pDQwPHjh3j1KlT/Nqv/RpXr17lG9/4BmazmVe84hVZz/dk7isesViMvr4+lEplmjwtFUoZ+4miyODgILIsF2VP4PF4GB0d5cSJE4/cEzYWi9Hf3091dTX19Zmx1gnDee6uv4IOZelJOVM8fzkzhWRgZs1W8DlUeeQBl1cNWOJlbGhyd1SrdJn3oSusR5AVyEJmcBdObOYqIpEIoCGeSAD5JyTHVmw8IwvIgpyzQ06vVRflybMVSyEdaqVIXNz8bB5l8r41G2RuXtng0iUDc3Nuzp614nTGOHfOzve+t0pPj5JQaJ2RkRDnz1fQ0GBkdtaL369ApVJgMKg4fbocpTL5LBw4YEKhSFBWllSPkSSRWCxOLBZDkmSUShVKpZpYLI5Op0IQ4OLFWjQagTe8oYHl5RBLS0HGxtaJRncG1IFAlEOHDOj1Bs6c0TE2ts7AQKZ33LlztczNBXjzm1tRKh/cOjA13xw7dqyg3FU2KclUYWaKWCm0MFOSJAYGBrDZbDQ1NWW8ns17bis5ZzKZeOUrX8k//dM/8c///M+MjY3xjW98g89//vO8+93vznq+H7a5b+s4Ho/H6e/vx2Kx0NHRUXAMlZp/9junpQp9I5EIPT09ABnSpCmS99ChQ4RCIVZXV+nt7SUYDFJVVVWy73llJcgnPnGTT3+6N0tOanc0NlrSkvKCIKTXy5Akvw4fLufu3WUqKw20tVViMqnveytLhEIJvN4Iq6shNjaibGwUXnR/8KCNQCDO2lqI+flkbtTtDuN2h+npqeGppxq4fn2RU6eS0rp9fas5feuGhjyYzSr8/k02YWZmg5mZDbq6qolEJBIJeU+5zfPn6+jvX2V+PhWTZAY7arUNQbClyTiVSonXqwJ2fvcmkxL//cOI94JwKDkOOZQyrm0x5rn5MC99Pfkd2O0C6golB+XkZx2MtGds68wjfjaSOe5el34GuYi4VoNErWYaAK+/iv6Ba+kCvULzX48bUp1xzc3NOBz55yF9Ph9vectb+P/+v/+Pn/iJn3hwF/go8ISQe/wgSRLDw8PIsszhw4fxePaWHSoEpaqSlGWZqakpvF4vdXV1qFSqgqojw+Ew/f39NDU1UV1dveu2+8FcdIqLwv/Oa1tJFvjF4GdZlgvvbGvV3EOn2JwYr7u7kK37GzDj6yLzf3F6ly08IGxZnKqyLFT3YRG25D7FV/7P65kbfGN+OyTCEK7IULVUqQUookkv4bSBLQEKFcSCiMGtn62S5MiVOSQk7pSz3hnF8hkX2p/Mb5D3V1Ujb+y9HcCy5hAOzzTOyuN7b3wfk01Ps+b5JDWmnQnOUuCfG36BROL3UKkkTm/c5Dt5EnLv0oQRhAcj4ybLMiMjI6jVag4dOrQvot1gMNDY2EhjY2Na3mtpaYnR0VGMRmO6k203ORGXy8XMzMyOToXd5L22V1CmPORsNhtvectbeMtb3lL0Z3qC3NgqhdLb21vy42/1kigU/82jemgdXQ8C9UqZmYe44NMg0724iu7vrzPw9VFcrmRVZSwmMjnp5UC9mcG/vQN/ewcAc7WJ1l/oJN5Ti/doE/OqwjuSc8Etla6oKR+okWmU4lSsgu0//R/u9GVWTV65ssD583VcvZopoy1GReYuzzJ3eZazZ2v58vVFururiUQSJSPjANrbq3IaqhuNmWRPUlarImulrs+X4BWvaECtVhIIxBAE6O6uIRaTMBpVeL1RqquNXLmygN8fIxjM7MoOh0UmJ4Po9UoqK/WIYgKbTcFrXlNDKASzsz4aGiycOVODQiEwPLzG3bsrO66jrExDIiHT1lbJ/Lyfs2dricdFJiY8TE56mZz0AvD00w0kEhI3bizxsz97rMhvb3cUQ8Zlg1qtprq6murq6gx5r0J8VyORSM7k6F6+q6nuuWAwSENDA2q1mqeffpqnn3666M/0w4RUcUep4Pf7GRgY4NChQzidzpIrmZQq9kvdU7W1tWkZ1ELIuMXFRRYWFujo6ECnK90YXwyCwSADAwO0trbmlEyKad8LidITcnZxHYUsIgl7J6iFeHExcjYXg6xYrYH63LkGSZFJ5MooUMs6YkKmI8/6Fm85nd4Invvr7AJuu2hChVG0EFBt5CTkSkFT33A6OF7npW9u83df9itRV0hU6yT8wJUrIU6ftnD9+gYKBRw7VsZrX6vle99b5vBhFQcOGLh8eQW7XYMohtnY2Kk60tFhZ3jYi1oto1IJtLRY6e934/PlVihpaDAwPx/i4sUqQqE4KysBVleTz5per8Ji0WI2azAaVZSVqXE6N5icDCFJ3pzHrKgwcu3aDH/5lw9OrjLV9VooGbcd2aQkC/VdlSSJwcFBrFZrBhmXOj4kx0RZljPmvlQMCMkxOTW/Hj16lKNHjxb9mV7OCAaD9PX10dLSUnS+rhQFIYlEgr6+PqxWK6dOnUoX1OaadwwGA2azmeXlZdrb2wmHw4yNjRGLxSgvL6eyshKz2VxQjmJhwcfHP36Dv/mbASKRwgIqtVrBxYv1iKJMf/8qGxtRjEYVJ09WYLXqEEUZm03D9PQGsZjI/Lx/C0FVGrS1OZid3cDni3HuXO2OOOD27SVe+comurqqEQSBaFSirs7E/LyPbMuHUCiRISkPcOCAAZVKmVasmJz0pL2ct8Nq1XLkSPmOWGjr0spmqyQYNKTJOIBTp6q5cyd7VYbBsEnIeW/54Znk35WqTELOiMy9fz+z5ZwyyjIFR+Xkdb8Y3lQnswsy7ixyl9uhI5N4vJ4obrytU23eW1b7GXocPbjd7nT+a7/+m48KiUSC3t5empqaClJGCAQC/OzP/izvfOc7fzjzb08Iuf2jlF1d0WiUvr4+KisraWpqwuv1PhC/t/0eM1UdqdFo6OjoYHZ2lkQikXdA5vV6GRkZyajYfVBYD/4RR5X5sVIfj/42zyd+rKjznNAOZvy7d/kwtBR1qDRm/1SDGN5FWkK5ZUEvRUGZRZ8ksY/QJR5l9gvNULME1r0lLsz48AuZpGAwGCvuyRXNmMNL+I014HMDWzsc1MAKULVjN3lDy8ZP1aF/9wKmj1QgqHdPvMso8KzrEZD27IpcUrVwwv+tggi5647zTI5YONL8YAg5r6mGu3PH6WkZpFMa4Dv8xJ77GGbX+P2nH4xEkCzLDA8Po9VqOXjwYEnHx+3yXoFAgLW1Nfr6+pBlmfLychwOR8YCO5uHTy6kEpQqlSqje25tbY3BwcGCFj11dXXMz2/KlC4sLFBXV5d1m/r6ehKJBBsbG4/UHLtQlFpG8t69e4RCoYKlUApBKigsdAE7GYdP+16+FWkAvtLmd3NCJ4sc7r9H6H++yIY3wktDOxN9gUAMr1dFXZ053aXlXw5w509fSG9T3VHLgZ/rRDp7gIlyG+4Cu9a3wv0AJSurEKkNhjA6PSSGl3C9NENibBmrRcuSWolvap0LF+rY2IgyNLSW3u/qVSenTtkYGPDuINuam61p+cZbt5Yxm9W0tVkZGMizemQX5AqMU9fQ27uC1aplYyNKc3NyfXbzZjLIVCjgwAErBoOMXq/H5YqiViv57ndn0sF6ba2JI0fKiccl5uZ83L27QnOzlY6OSlZXwxw/rkOvV6FQCIiiRDicIBiM4/VGmJkJEQolaG9X0du7hkIBNTVaZFnBxkaCxkYrarUCtVqJSpVca4ZCAWw2PZGIgslJD6urIWZmdn5PGo2CUCjO0lKQ173uAJWV+/Mgyobl5WXm5+fp6Ogo6RiWTd5ru+9qRUUFZWVl6QKTrR4+e62zc/muiqLIV77yFZ599tm8r/VHYe4rNVZXV5mYmODUqVOYTCaWl5cfy9jP5/MxMDDA0aNHKS8vZ35+viB7gomJCUKhEF1dXQ/EnqAQeDwexsbGOHHiBGZz7uK0k4an6PVcol15uaTnVyBjjfvxaGx7bhsOFmd/IOU5ZS6P1aKvH875vphFH1IlGYgpMgk5d2CTkEtNacUUP6liNlBtkIt6U5Rg6bke0dFj99G39UVRoOmUiHU+mTOQZZifl6mo0CCKErduLVNTI9HaqsNsVjIxsZ481nqMixeruHJlc9xTKODCBQdXriwiy1BRoWZxMcTiYhCDQcXFi7U4nQFmZnaq91RWapmfD7Gy4mFiIojJpObChTpeeslJOJwgHE7Q2GhmedlPX1+Qo0ftSFLujsuuripcrgitrTa6unbGzaVAKBSir6/vgXS97ua7mirM3Oq7KkkSQ0NDmM1mmpubdz12atzaWpyS+u/b3/42U1NTeV/nD+Pc53K5uHfvHm1tbfv6XfdLyKXur+bmZqqrq/MqAllYWGBpaYnOzs500W5dXR2JRAK3283s7CyBQICysjIcDgdlZWU5x6vpaS9/+qfX+dznhojFCv8cx46VU19vxuOJoNOpOHq0nJWVIHNzPgYHN+OCxkYLS0sBzp2rY3U1mC4mKwXOnq2ht3eVaDR5/fF4ZlDY0GDGbNby3e8mCwKvX98kybRaJY2NFux2PWp1ci29vBxkcTHAnTsr2O16bDYtdrsu7YGXgiwnixBTY1gKp045cLnCaQWMzH2S19bU1Mj8vJCW1oek3H5/f+5Kf4Nhc96Y/74X/jD5t0lBRuNd560NXhzZPM76epzGMgUH5EWQBb4c2CTk6tQS67Hd1yxa4ijItBC4GT+56z65UKvcHM8lRStKpZLKykoqKyuRZRm/34/L5WJubi7DZsVoLH1cUyokEgnu3r1LY2NjQWRcKBTirW99K7/8y7/Mz/3czz3AK3zEeELIPR5IBTpHjhxJt1SXWl4S9p9EjUaj9Pb2UlNTQ2NjI7Iso9VqmZ6eJhqNUllZuavJ69LSUrp6uBRG5bthNHybC8ov5rXtrUQX7w1/sOhzndjiHxeUDMx5yrEXfTSIuRIs/OVu3XHA1q4gKQxkIeSkPEwEcmFwFsIOmAOOBkG9+0DvX9pZraLWKEkUmQj2T1rgRAx8ETIJOdBqVbvY4wmE/7yB+LU1rP+gRNmwu1HDituCOhEmptr984kKDdoCF2JRlYF1uRmbZQHT2gYBbekJ6K97Xk0Pgxwld0C9Fb8m+xGEwoxq88GDJOO2QxAEzGYzZrOZAwcOpOW95ubm0vJeWq0Wt9tNZ2dnwQRMalHu9/v5+Z//eT7zmc/smrTZjp6eHsbHx5menqauro7nnnuOz33ucxnbPPvss3z2s5/l/PnzfPGLX+TVr371y8JHoNRISaFYrVba29sf6HeQ8jEoFO9zq4g/IDnFhwGzIDMcf7CEokWQODU0y/gf/jPWCh33bq8SieQeL12uEE1NVux2HevrO+eO5buLLN+9H6gJ0Prjx6j6iTYCpxoYMxgJF/B7rJagQ86ATFM8StmaD2F8Ff+tOea/O8HKtCctUpJMwtVzZzHI7ISXpiYLfn8sHYQ2NlpobLQwOellaSlAf7+Xjo5yenvdaUJMp1OiUAgEg5uFRH5/nIGBDdrbq1hZCWb1hMgHJ09WZA1+tyISEenqqiEeF3G5QlRU6KmvN7OxEWVy0sPkZIrs8qHVKllbC9HTU8vAgIsLF+oIBuMsLQWw2XQcO1ZOMBgnHhcBBX5/jPJyAwsLvgzPie0YHfVgNquJxST6+jxIkszJk1amptYJBDbvqePHLQSDEm53MrGxG86fryceF3E6/Xz4w6/K9yvLG0tLSzidzpKTcdmQzXfV5XIxMTGBVqvFZrOxtLTE8ePHc3r47IbU/Pdf/st/oaenh9///d/Pe98nc1/+SCmNeDweuru700nDBxH7KZVK4vHiJTNWVlaYnJykvb0do9GILMuo1WoGBweprKykoqIiJ8mWKuI0GAycOnXqkf/WS0tLzM/P097evmeXniBARPteSJTer8QW8+VFyK17a4s6fr4rnbvX67mwSyG/KOzMFAlSZvyukjWI0ubvL+6jACgWtINhFimRvQNVWaLbR6vaGRfYGkC3sBlcut0J2ttNaDQ+btyIsroKly6Vcf36AgaDkkuX7ExO+rl61c3hw2Xcu+fB4dBRXa3h8uXNuXZrN20olODKlUUEATo6HMgy9PZuFm36fMltV1eTz2sgEOell5wcOWLGbNYRCIjcvLmZ9C4v3/0erq428fzz87z3vT0FfkP5IRgM0t/f/1AkaPPxXd3Y2MBqtXLgwIGCj58qzPzmN7/Jl770Jb71rW/lve8P29wXi8WYn5+np6dnVxWafLCfOc3j8TA8PMzJkyexWCx7knGpAs9YLEZnZ+eOeUmlUlFVVUVVVRWSJOHxeNLEo9lsTsujKpVKRkfdfOQjV/niF0cz5NrzgUaj4NSpKqqrDczN+fnWt2b23MdoVBOPS+mOsY6OqnRH3X5w8WI9L720kI4zLBZNxjG3S0ZuJx2jUfH+mj1z3X7ggJVDh+yYTCrW1iJIkszZs7WEw4n7hZdJnzhZhpdecnL6tI2hoQ3OnKnh2rWlDKJtKxIJmdOnD9PXtzPRZzJZcDpzaxZrtQpSs19gJUENEksoUCvktPdolSxx69/PpvdRKGRmZqI0WhTU4yQuN7OQsKXfN+cRPh9XLyNsk9q8GSuuAKJOsfk9S8KRjPcEQcBisWCxWDh48CCRSIS1tTXu3buXdwfxw0aqM66hoYGqqvy/k3A4zNve9jbe+ta38ou/+IsP8AofMWT2pWj3sPFDS8gtLS2lJdW2klkPIijbD7ZXR6ba/B0OB1arlbW1tZzt4KnA0+fz0dXV9cATFrIMQvg/56Vt4ZPNvDX4HPECdO63Yyshdz14HrU+QVaCLE/MflSLGNmjK01flv5TrUpkf5bl4qolFO5FNCsKIuggAZplN7GGPY4VKtvxklKlhNzKHLtDMsLKDPh23ivRqB1BEJHl3D9w4loF6x0RLH+7hvaZ3LrhKyE7GilEjDy+qyJ8C266a/kxoGZ9lPGas4UfYA98XvszvJ//zkHN2J7bGhY9/NED6I6TZZmhoSH0ej0tLS0PPcDYLu81NzfHzMwMWq2W/v7+dPWQwWDI+9pSetX/8T/+x4L1qlUqFZ/85Cd5wxvegCiK/PIv/zInTpzgD//wD+nu7ubZZ5/lV37lV3j729/OoUOHsNvtPPfcc0V88pc3AoEA/f39HDx4sKBFWrEoZk69HRH4f8HHY1FbLI6qJW7uUd1XLMqROH5rgt73fBVvhR5jNMaLL+bXETw7u8GhQxaCwSjR6C7BrgzjXx1h/KsjAGhMGk7/fAfm1x/DdaiacZUGaReCbrkAQk4hy9RIMWr9YbRzbqIDTpZfmGbh6iwjuwTkra1lKBRCWrrFZNIwO5tJEs3N+Zib8yEIcOpUJXq9iv7+Vc6ereXGjUUkCVpbzQwMeLOeo7d3BZNJk7PLbTc4HHpWVkI7qmJT2JowNJs1KJXJDrZ4XCIejwEydXU69Hp9OshraDCzuhrC4dDT1VXFxISH+XlfRuLiyJFy1tfDgMDCgp+FhWTA39RkpbHRgtPpZ2oq8/NGIiLt7dV4vWFGR5NdCP39G9jtOrq67ASDUQKBKMPDye9XEJLSmrm8PLRaJSCzsOCnrEzHM88cLOi72wspMq69vf2Br223Y7u8l9frpb+/H61Wy9jYWFG+q5Ik8b73vY9IJMKnPvWpgoL6H5W5b7+SlYlEIu2V2tnZmfEdPyhCLunrVRi2koY9PT2o1eq0vFt7e3u6Unt6ehqtVktlZSUOhyOdwI1EIvT391NfX09tbXHEUqmQ+ix+v7+gLr02wyvp95znlPJqSa/HGs/P29y5Vtz3FsuTFLvTW86rJS0RRfYqx4Qg7lARkROGDGs45bbiz/005C8uqrE5IJbDA71U0UVI3hnzh42gjYbT/+7p0eJy+dBqPXR2qnE4jESjIq96VRUbGxF8vhgWi5rWVgtKJRgMMD/vY2AgU2ou21Ahy3D3bnKt1NxsobbWyN27q4yPezl9uoK+vmRnen29meZmCx5PCJ8vwvj4dhm73N/I6dMOwmEZUZT52Z89knO7YpEi406ePFlQ0WIpsN13NeXBmUgkWF1dJRKJFOW7+t3vfpcPfvCDfP3rXy/Ic+yHbe5LzU2lQLFzmtPpZH5+nq6uLrRa7Z4d2YlEgoGBAaxWK4cPH94z3lcoFJSXl6dzmj6fD5fLxbe+NcD//b9OXnjBlZM0ygatVklbmwOVSoEsk15zrq2FaGw0Mze3uwSlVpu5fkxJtB8+bKesTMetW0sFE4PbJSUBjh93cO2ak7IyHYcOle2QjOzvX6WiQs/aWjjj9fJyPYcOlaFSCczP+5me3mB6eoOOjiqGhlzEskw6SqWAzaajokJPdbWF8nI9y8sBDh82oVAoUalU94tlQZJkjEY1NpuFb35z53zU0VHF3bu7r2O2EnIA1cE4S0Yt4pZboeWf1ri6vrlNc7OKqakImBU45CVcYmZDRD5zzjF1plzllHQBl1Rc3F2n2JTmlxWtu26r0+mor6+nvr5+RwexyWRK578elbSlKIr09fVRV1dXkORtNBrl7W9/Oz/xEz/Bv/23//YBXuFjABmyCBE8tngsCbn9JJ5lWWZ8fJxAIJBVputxIuSyVUemjFQVCkXGgJBqB091q1itVkKhECaT6YF3QKRwN/jPXFK+mNe2vxH6CyalQ/s631bJyhd9r0RtKb73NLqcYOGv9uiOk72gtKX/GY/lmqCMICZAWcDjk4gi3ZSIhDcnw9iaDXRT4Miuw6mRA8RiOyvjpP2q/S8nIJTtDQ2y7CTpJ5cbslvHxo/XYnjPPKb/Wpm1tNIlVaCWwln23gn/euHP41JVJ/AP1AUmGaf0hNxo3QUmF8ppsc3sue07wh6UitJ6NqbkQQwGAwcPljbRWQw8Hg/Ly8ucP38ejUaTrh6amJggHA5js9l2yHttRyAQ4Gd+5mf4zd/8Td785jcXdR3PPPMMzzzzTMZrH/jAB9J/63Q6vvCFLxR17McB+x3HXS4X4+PjtLW15QzkU4FXqVCMj857XUJRpsyPE1QP4PJrEGl5YYTb7/06gwKcPLrTByAfTEz4aGuzMzzsyTvQjAVi9H3qOnzqOgBlB8o4/PYulE8dYra2HOe25eKCaMt6HJsg0RgOY172Eh9aZOWFe6y+5MS5HibfT6LXq+jqqubatUUSia0B3qbs5HbIMunqVJNJgyAIvO51LQQCsT2JttQ2p05V4vGE8/KYUKkEKiuNGZKZ2a5Jp1Ny6lQlP/jBHNGoyJEjdqqqTFy/vkA4nJr7kt15587VMjHhwWbT8fzz03R2Vu+QiuzurmZ4eI1QKEF1dWbBy+zsBrOzye1bWmzU1ppYWPCnjxGNJrDbN7swqqoMHD5cjkolEI/HWNjSxSDLUF2tZWIiewL37NlaEgmZuTkfv/qrp3ckPfaDxcVFlpaW6OjoeOQyfLFYjLGxMU6ePIndbi/Kd1WWZf7kT/6EtbU1/s//+T9FVdj+sM99+0U4HKa3t5fGxsYdkmbwYGK/YrrDRVFkaGgIlUpFZ2cngiDs8ApPSakeOnSIYDCIy+Wiry8pBGg2m3G73Rw/fpyysp0Few8TKX92lUrF6dOnC1pXCAIENL8H4r8u6TVZ4/n5A40vFUfIhcX8PqMsK2DJAnW5C2mMmgSB2OaYkUhkqmzsIOT2wcit+xzYIH/NzSIxH945Bk6HFRz2BmlvT8YON28m58wzZ2z3u8t9qNUCJ07YqKjQY7fD4qKfF1900tNTjk6nJhzeGf/vRd7PzPiYmfFhtWrp6qrCZlNjNNbi88UYGlpjYcFPe3slQ0Me2tut9PZuzrVOZ+5u86oqI9eurXDmTBUtLaVVaHmUZNx2pPJpZWVlHDp0aIfvqlKppLy8fE/f1RdeeIH3v//9fO1rX8PhyM+Lfit+2Oa+UnmlFjqnbbUx6O7uRqlUZuQcsyEcDtPf309TU1NRXneCIDA2FuTDH+7j+efzlyrV6ZS0tVWiUAgMDrqYnPRy5Iid69cXsVq1LCz4WFwM4HAYaGmx7ShA24pk8dhO3LuXLEyrqTFRXa1mbMxHKLT796lSCXR312T1f47HRTo6qnA6/WlJ+q0QRZmjR8sZHHTR2mpHo1GytBRgasqL252ZLysr09Hbu8KZM7Vcv75TgaOy0sihQ2UEg3F6e1dZWQlx4UId168v7oj5ursrGR11s7GxSFnZMTyezfdNJjXT03vfi+ptVjXG5Qgc1OK/7wF/OJ7g6u9mRngOh4KpKRCNAjYWuBl9Y8b7/jzms0Oq7f5xP7X3TjlQr0z+ZpJQC0L+lgvZrF1cLhd3795Ne087HI6CitP3A1EU6e3tpba2lpqa/KW3Y7EYv/iLv8jrXvc6fuM3fuOx7SL+UcVjScgVi0QiQX9/P2azmY6Ojqw32+NAyMmyzPT0NOvr6zuqI3NVqGxtBw+Hw9y9exeNRoPH42FwcDDdDv6gKokTkkh1/A/Ix3Lms9F38PexX9jX+awKLw3qTd3wF7xPY6ufodglzOxH9UixPbrjBB8kQ5b7yH2faKQQMWUBMhIDcxAuY8cj57SByQ36nXrnMfd2n7f7rxcjkyZLmHQLyNFRwuEwkqxEo6khFtsuP5HnNywLhD7USPwlF5bn1ChrMqVWVjXVaPIk5Mymwr2Irmrb8QU01EemC943Pwh8feYi77r0FcxLbvy67Hr0BpePD72ytF1IKeNsk8lES8s+TRNLgPX1dcbHx2lvb08nHLcWC6TkKVIEnU6nSycoU9JFwWCQt771rfzKr/wKb3vb2x7lx/mhhCzLzMzMsLa2liHTtR2p+a+U80ShPjr/uBLghdjj6++QDwRkxmOlS2w1ygnqnu/j5h88z1I4wblzddy75y6KjEthYGCdtjYLAwP5dQxsh2faw/UPfBv4dvIaLzVR/zPtxLuauVdmYVGyc0iMUb7uRz3lInh3Aef3JlkdXMZb9FVDe3sla2vhrAGvzZZfh3wkEicel9jYiCAIAufP1xIOhwgGJWZmAjk72vr7V+970WRK0WTD2bO1XLmy++9jNqs5cMDGjRvJoPLAASsjI25GRtwcPmyivt7O3bureDwR2turCATiVFQYePHF5Nrnxo1FnnqqIf3vixfruXrVma4u3i2gmpryppMUhw6VUVOTNJG3WCycOVNDPC7R17dKNLqKLEskEjLV1UaWlzd9FioqzExM7JTy1OmUKJVC2qvw53++OE+HbEiRce3t7Y8FGXf37t105T3k9l3t7+9P+65WVFRkKFl85CMfYXZ2lr/927995J/phxHr6+uMjIxw4sSJnHKiD6pDrpBjZrMnSHkLKhSKrM+z0WjEaDTS3NyM0+lkamoKvV7P2NhYWjXFYrE89ORKShbb4XDQ2NhY1DFOG1/LoKeHk8qbJbsukxhCJcVJKHavXO+f3Una5oMcDcNZEVpoRLELIWdSZRJysVgmISeImbKJBTSV7MD0qp0WwKDPTvIk4nHykr/ZBWpBpmnQT8utZZxeBQmNGn25Go1NjdES5Nvfz/QCmp3d/EDxuExvb5IEEwQ4dszCj/1YE9FomBs3VqmpsRKPR5mb25yP8umyqaszcuCABaNRic8XweeLMjiYvI5z55ISbwD37gWprzenu82Xl6MoFDtJ0BMnyhEEJT5frOTdcYFAgIGBAdra2jAVEReXErIsMzIygkajSReFFuO7+tJLL/He976Xr33ta0UROk+QG4XMP1vzo6dPn043AOzmF+f1ehkZGeH48eN7euZmwwsvzPHhD1/l+9+fy2t7rVbBiRMVqFRKBgfX0qTW2bPJQrVr15LE1IkTFSwuJscBlytEPC5y9Gg5o6PurMdVqXaP1ZaWAiwtJSUnL12q4d69dVZXd1atm0xqDh2yp69jK2w2NXa7jsXFAA0NFg4eLEN5v1hdkmRiMZFIRESvV3HkSLIIbnEx2Q2XDa2tZdy4sYTfvymHJQjQ3l6FQiFw9+4KdXUmRkeTxXmQlK/s6KhifHydQCBOXZ0Zu13DrVubMpoHD6q4dWtzEjt+vJobN7JW6GdAta0CVbwXhINWXPcJOd3HFnekD9Xq5AtxPehZ4Eo4szN0Sdw7hm5WZXrn3RAv7rlPLtQpkvlCWdi9O243bLV2aWlpSY+B4+PjRCKRtHfig5K2THXG1dTUFETGxeNxfuVXfoWLFy/y7ne/+0eDjJN54iH3KBAMBunr66OlpWXXSf9BEnL5dB6kku27VUfuBr/fz9DQEEeOHEm3g6fkTWZnZ1Gr1elkwV46/oXgduD/x6sUI3tuNyYe5p2h/7nv8x3f0h3nF03cc9bScyp3JfpuiC4mWPv7rr03VG6bTYTci32NFM9fNXLFCTPlgAvYNoDKKpjdgMNWUGx7HAPZB/NEQpV33CSQQI6NQ2yOQMBHUvIz6cIaiy2iVG4AxxHFVFDoIElE5neC+AsO1tvDWP/ejea1m0l2v6MJ83KclV32TcHjK3xiGGq6xOS4nTppfu+Ni8TXVD/Ju/gKpzduc1n3+qzbvGF2ivCRalT3k2/7RWp8SPm4PWp4PB7u3btHR0dH2tx7O7bKU0ByLHa73bz44ou85z3v4cKFC4yPj/PzP//zP9x61SVCodWTKS8ZtVpNV1fXrovAB0HIFTKnzs8v8IfBSng0Kg8lwxG1zGgJ/OMOiTHK//EWN//kO8zFJZqbrZjNGq5dK56I24qBAd8O0+9iIAigWvQifP4WZV/r58BaGINJzfS4h4kivde2w27Xcfhw9mA3hb26/VparNTWmhkZcXPr1lL6s9fX64nFZFZXI2i1Sk6cqKCsTEckkmBqauO+/GMSSS+aBY4cKSMalXZ0qEHSGyIXGafRKDh6tByLRYtGo6SvbzMYrqoypgPwe/cCjI8HOHeulrIyHdGoiNGoxuUK09lZTSgUw++Pc/fuMj091Wg0qh2dfvlOORMTHvR6FUeP2olGRe7eXUmTknV1WoaGkqTt4cPlGYRcLlGZI0eMBAJBJie9HDpUxpkzpZHNczqdrKysPHZkXGpu245svqtra2vMzc3xn/7Tf8JqtVJeXs76+jpf/OIXH7r05ssNxayh5ufncTqddHV17RrzPChCLt8OOb/fT39/f9rTPGVPIMtyTjIuBVmWmZ2dZX19nXPnzqWLON1uN/Pz8/j9fmw2Gw6HA7vd/sA9TkKhEAMDA7S0tBTV8ZKCIMCG5vdA/OkSXh3Y4j7WtLmLfgRZxZCzuOv2RfO/R6eHD3Dw7O2c7+s18Qy1kkjcQMYdnMi8nwtUVcvAlKeW13C/cy8LYrE4UHzOwK6SqPuHZYLOALdvezl+XInFoOLGtxPEYqBSwZkzDm7c2CQoV1ZinDxZnibIUpBluHfPjyBEuXdvna6uCkwmNSMjIl1dVdy+vXJ/u51fiCDA8eNJKbrFxSDxuEggEGFxMcrU1AYGg5pTpxwsLgYYGtq8llAoweHD+jQhF4mItLRYmZrKnP+Vyhi9vSuoVALPPttU9Pe1HY8bGTc6OoparebQoUM5x6Zcvqsf/ehHuXPnDl1dXXz729/m+eefz9q1/AT7Q75zWqp7vKmpiZqamj394gCWl5eZnZ2lvb0dvV6fdZtc+OY3p/joR6/lVVBoMKhoa3MgSTKDgy7u3NlcL1dW6qmvt+zoEPP7Y/c9lJPweqMkEjJtbQ4GBnYWQORvqRHj8uUFNBol587VsboaTBe1JTt39fT2rqBWK2hpKaOiQo8sy5jNGqanNwiFEoyNuUnk8OmEpHrH1s9TXq6npcWGRqNkZSXIxESyKEGtTq5/h4fXaG+vwmRSMzOzkZbbvHQpKbG/fQi8e3eFjo4qysq0XLu2lC6aSyEQcAPJZoKWFiM3b+5NxgFpcjGFjVt+ND8msypBlzfK7b/aSYb6/cnfKKGVUbLMVwObeVibIOPKo9u8XpHZIXczXnwRRL2QtKCRFIeLPsZ2bB0DRVHE4/GwurrK2NhYXuoZhSBFxlVVVRUkVZ5IJPi1X/s1Tp8+ze/+7u/+aJBx8ISQKwUKvVlSPmttbW17mt8qFIqStIpvRyqJutu1p6ojq6uraWpqyqs6citcLheTk5O0tbVhNBrT591qRBkOh3G5XAwNDSFJUrqVdjc5gb0QFEMcE//rnt1xUVnDW4PPEczS1VUotvrHXQ1dRBd0U6zK/cyHDYR9eVRmaTMXHXqjmlw9XgF3AGrz6PKIR+Fu6n7LUVoZtmLyOQnYtizuZRmCOXTWhTyCJjkMsVEEcRlZjANRsgVbohgEbgMtQBWgRaNxEYvZ9j5H6lSrerxv0FLzZy7Ed1lBIeC01iCHA5CH4obCUPj9klBpubdeR50id/J2v/hBy88QCP4ap6N9XGYnIadfD/DHZ00ZMrIVFRWUl5cXlUyUJCmt097c3FyCT7A/eL1exsbGaG9vz0nGZUOqoruxsZHTp0/z67/+68iyzF/8xV/wwgsv8KY3vYk3vvGNOZOcT5A/IpEIvb291NXV0dDQsOf2j6pLQJZlxsbG+FLCyESOCu2XE8zxMOTjj5kDx+MR9H97ldsfe4EJkh1H3WcbuH7dmbN7q1i89JKzYH80h0NPU5MVnU5NMBhDp1MhihK3by8TiSR/a5tNSySS4NKlBvr6lvH7i3dPPneujrEx965kHCSrYbfDZFLfl5qMMDLizkigLS8nycKFhTCVlQaOHLEzNra+Q2aysdFCXZ0ZQUjuMzW1wdiYB7VaoKOjjP5+D6lbvLW1jLt3N6s2FYqkF0VFhZFAIMrY2Dr9/ZtJAZ1OycWL9czMbCCKye/IYtFw7FjF/WsMce+eh2PHyolGRa5edaLTKTl4sIzmZivxuBmDQUUiIaHTKdPffz5obS2jqsqI2x1Go1Hi98e4csVJe3sl4+PrNDTo02QcJIP58+fr0omUbFXCer0Kq9XK4mJyv6efttDb27ujK7pQLCwssLq6yunTpx85GRePx+nt7eXgwYMFzVNqtTpdufqVr3yFD3zgA3znO99Bo9HwYz/2YzzzzDP8+I//OIcPly4h8KMKSZIYHR0lkUjQ09Oz5z3zoCQr8znm6uoqExMTGfYEW8m43SBJEiMjIygUCtrb29PbK5VKKisrqayszEiGj4+PYzQa06oppfY4SXVNnDhxYs94Ox+0G9/IsKeT48o7Jbi6JGyx3Qm5eMCGWKQPjS8KgiAjy3vHo1cu19L6SwJSjuJOozrz3glGMwk5KZG57hal5DmLyWCsh3ToJAPkIOR0BkPR3uQtapHof51j4G6Eri6RSERmelrGbA5TWZnsvL51K86NGwLnz1dx9epmqabVagJ2JnPPnbNy+XKy4PLatWSS/vBhK3a7nle9qoHvf38zGW02qzl2zI5SqWBszMPQ0DoqVfJct24tMT+f4MyZGqamNgiF4iwuBjhyxMiVK5nrgN7eVc6fr+Xq1eQ6xOEwZKwnknLTVvr7F3jqKQeLi+M4ncmuaIfDgclkKirP4vf7GRwc5NSpU+nczqNCaq2uUCh2JeO2Y6vv6oc//GG+/OUv85GPfASHw8FP//RP85rXvIY3velNnD9//ke+MKVUkpUqlWrP+cfr9TI0NMSJEyewWq17knEpT1Cfz0dXV1fev5Usy3z1q+N85CPX0qRRLhiNKk6erEyTcNevZ5IuggA9PVUMDq5x507msaqrjQwMuHA4MruJA4EYExOe+35o289f2Hcdi4nposiOjip0OiV6vZpoVEShEJia8jI25sZgqMJu13P1qhOfL8a9e+ucPOlgeTmwwycuhYWFTMUStzucIVdptWo5e7b2vjRmdboTMKUYolIpOHs2UzLT4UiSejabjlAoQSIh8b3vzdHWVoksxxkZ8aZJwvHxZcrKyvF6E4iiEVnOb020/V6Z//4GdR+QmQfc/zF7B+TcXFICv0GxgkQFw7HNPGydWsKbhwd7pXLz3kjIau4WkJvcjnpFPwByCQm5rVAqlek4aKt6RkpufD/5eEmS6O/vp7KysqDiBlEUeec738mhQ4f4gz/4gx8dMg6eEHIPE6mqwdXVVbq7uwtKGpcaqWAvV3C13+rI+fl5XC4XnZ2duzLter2exsZGGhsbicViaTmBcDiM3W6nsrISq9Wa90O5tBTg284/4ddad+ohb8fvhj9Cr9iR13H3wskthNyLG69AL+bWc98Nkfk4i5/ZwzsOgMQO2choggyD7QzE85zgB+cgnDquPedmgekyOOgEy/2BNrQG0s4KTkGQkIVd7nPJB7ERiLsAGQmR5Ii0W5JMAsaBdeAIsVgRI5ikYOm3q7D9YB3d/1Hjr6zBocunPw4CmFEloiRUhT2/o/FW2iyThV9rnoipDXxr5DRHlQNZ3//XrlUOdNZCQy2yLLOxsYHL5WJ6ejrdqVpRUZFXdVmKjLPZbDQ1la7qslh4vV5GR0dpb28vOsEai8V417vexRve8Abe/e53A9DX18fXv/51/uVf/uWJdOU+4fF4GB4eLshL5lH46CQSCfr6+tBbrHxG3/KyWiDlwpooFKXudDoUQP7Ui/T/9Y30a+3tVayvh9LJpweBq1ed9PTUZPU10OkU1NbqsFg0yLKSlZUIy8tBHA4jWq2K2dkN1td3+qnq9Wq83iiXL89TXq7nwoVKrl93Usjt1dBgprxcn1dHoEajZGbGm/73yZMOTCYN/f2rWTsAjx+3Mzy8nv736mqIQCBGd3c1t25lyqDMzfmYm9sMlK1WLS0tNoxGNR5PmIMHLYRCMTY2Evh8EWpqjNTWWohGE4yPexgdXUcQ1jGbNdhsOmpqVOj1KjQaJRqNElmWqa3VotfDa1/bxAsvzKerZM+fr2N62svycpDGRguvfGUjKpUChUJAEECtFnA6AwwPuykv11Nfb05LYGZbxzU0mGlqsuF0+hkf91BRYWBxMUAoFE8nMXp7Vzl50kIisfMmHh5eo7LSwOpqiNnZDfR6VYZ/T1dXNVqtiomJDQQBfvd334jdrmRtbY2hoSFEUcRut+NwOPKW0pufn2dtbe2xIePu3r3LgQMHqKjIURS1B2RZ5rOf/SwjIyNcv34drVaL0+nkG9/4Bn/zN3/Df/tv/63EV/2jhVgsRm9vLw6Hg+bm5rzuMZVKRSxWJOOQA3vNp1ulpLPZE+xFxsViMQYGBnA4HDQ0NOT8nFuT4alE0OrqKnfv3k0Td6VQTVlZWWFmZqaorolcEARwq98L0ltKcjwAa3x3mWZBai762JIsUGaS8eRhVbfh02KJVODVZ5et1KkzF0OBqIGtUWgivo2Q22cOXxuzgZx9fC320F1CjLFfmyGwJqJUJjvbADweEbNZQygU4tatdVpbBRIJM1evyly6VJ9OKI+PR3cQFGfOlHH58s4k7717G9y7t0FZmZY3vrGZcDiM1xtlaMjNjRub8eaJE2VEIrG01HNzszW99jl/vobR0TWuXFmju7uK+Xk/KyubhSfDw24qKvSsrYV3+CbZbFpWVpJroX/zb9rp7j6S7oqemZkhEAhgtVrTnar5zGWPIxknCAKHDx8uOnk7MDDABz/4Qf7f//t/tLa2EgwG+c53vsPf/d3fcfz48SfFmCWCQqEgHs9dCLe4uMjs7CydnZ3odLp0zjEXGSeKIsPDw2g0Gtrb2/P6/SVJ5otfHOWjH73G8HBuFSuTSc2JE8lOuIGB1ay+aJB8Vk0mdcbzvBXV1RqWl4NEozsDyXA4wdDQ2o5YJx9p2+1obS2jqcmKUilw9aqTujozRqOG0VE3R47YMRhUGI1qvvOdmYz9BgddVFUZOXasnJGRzEIDh2OzA3c7Ut506+sRhobWcDr9mM0aTp2qZHk5wMWL9fT3r3LoUBnT0xucO1eHQiHfbzKBkZE1JEmmocGS7hJMeWrb7TqOH69I+0kfPapFEBy89FI067XkA/9ynHYpQe1sjCvf26mSUlWlYGUluTZqVi6ynsjMw1oV+f0mdmHzPhiQ/hWhPAphskGBTK2QzOVJ+5CszBfb1TO25uNT8r4Oh4OysrK8irL6+vqoqKigvn4P66Vt+7373e+murqaD3zgA/sm4yKRCE8//TTRaJREIsGb3/xm/uiP/ihjm2g0yjve8Q5u375NeXk5n//85x9tg8HLKN/0siXkUsbYSqWS7u7uBy7RsRd2ky5JVUeePn0ak8mUQcbtJVMpSRJjY2NIkkRHR0dBn1Oj0VBbW0ttbW3aiN7pdDIyMoLFYqGysjLnonFuboM/+7Pr/PNL/Qz/y2f2PNdXYz/Of4/+Vt7XthdObJGsfNH7SnTqBYq5XWc+ZEJK5DGAyesgVGa8JO1yPp1ay84UZSYE1yLyTGrh6SbZgbYLZlVwLAwqPQSCJOUjM6FWx4llI+REF8TGILFJXCoUcSRJIClTuRcEYB2dro9IpJEkSVf4M+X9kh3FjSCW5zwsBfSQB0/g0h+kKrSA09Jc0LmcVT08o7mx94b7wNdCP8ZPWb+x43XtRog/f+Xm7yMIAjabLe1fEg6HWVtbY2RkhHg8nk5QZiPDU5UvZWVljwUZt7GxsW8yLpdedXt7O+3t7SW82h8+5FM9ubCwwMLCAp2dnQUlxh52h1woFKKvr4/m5ma+qK9n1v1o5+lSoExOMK3M/zsXkOny+Qh8/Lv0/UN/+vWKCj0HD5blDExLiVQQfOqU4//P3n+HR5aeZf7451TOQaEUSqkVulut0JI6d8+MIxibwYvX2Wax1wHwF8MPswsGY3vNAovHGMOC8YKBBYNtDDbB9ozHxuNxmJ7p3K0cWjlLVVKVVDme8/vjdB2ppJJUSj29TN/X1Vd3V5069dapU+/7Ps/9PPdNOJykpERO/Hg8EcbHVxgbiwARKirMlJZqEEXdlsG1zabD6TRgt+uZvydXubwc5YUXZnG7TZSW2rh1ayHnazNQqwUuXHBz69YC09N5ZDaRA3W/P8qxY4VMTwfp7d3am0fG5kRFJJLi9u3FrIRgLqyuxrOqbDUaFSdOFNLUZCEYjLC0FGFmxkcqJUtUmkxaIpEkgUCCQGDrpP/Fi25+9KNJiovlbj1JkjAaNbz61TXEYilisRSRSIrV1RhebxRRFHE6jYRCCVpaiikoMBKLJbl40c3i4nqvNyPHjhXi80UZGFhmejpIaamZ9vYSpdstI9+p06lobLQwMBBGoxF45JEKrl6dVSpoV1fjnDpViscTIZ2WqKmxK4kFk0lDJJJSCNrHHquislLukjGbzVRXV5NKpVheXmZmZoZAQPasy3SO56q2Xk/Gvdj7+PVk3H6k+L7whS/w5JNP8vWvf10pFHS73bz//e8/qKH+h0Q+CYNAIEBPTw9Hjx7d1Xd0vyUrRVGkr68PlUrFqVOndm1PEA6H6enpoa6ublefc30iaKNqSjqdVqq0d9PNs14yczddE/miw/xaBlbaaFR3Hsj5HDsQcquB/UnsWs0S/mB+1y49Xwa1udcqkzZ7jVqJmlkfAaQSGyQr99k8L0adCJrcv4G9kH1nF33c+NVFJKV7XMPg4Nogp6aSHDtmJBgMMjwsoVYHuHTJQU9PknPnKrl9ewaPJ0lzc4EiW1ldbaK/P3cBcHW1haoqEx5PmKefHuf4cQelpQZFutlm09LSUrDJ/7WkxIRWq0KrVXHlytq5b95cxGrVcemSvDZKkrz+nT1bytJSNMu/qa7OgVqtprt7EbNZy+OPy/7e67uiRVFkdXVVSbzq9XqlYyLXPv1BI+Pu3r0LsC8yrr+/n/e///380z/9Ew0NcuLbbDbz+te/nte//vUHNt6HkItMIpHNKgaSJDE8PEwoFFK6x1MpOTO91R4rHo/T3d1NWVlZXkn/VErky1/u4zOfucbwcO6CeatVJuFSKZGeHu+2sY5Wq+LcOTfXr8+SSGw90QUC4r3x5s60JxJpbt9e4Px5t1Lol6/qSFNTIaWlFiRJJrNcLhNXr86RTksEAss0NRXxutfVEY+nMJt19zyZdZv2/IuLYVZWYpvsAo4cceD1ZnfOOZ0GmpqKuXt3TSHk4kU3s7PBe4oWM/dea+f8+XL6+pYwGDRoNCrGxvxKB11VlQ1BIKdkp88XU+KdtrYSnM4o16/vrqAml12AZTHOtV+YzHm8261i8V4IVaVeYDjSlvW8kKfimU1Ym6+vpR/Pb7A54FKn0QoyASmpDtb7Mx+sz8eLoojf78fr9XL37l1MJpNSwL+x4SaTHywqKspLBWn96/77f//vWCwWnnjiiQOJrfR6Pc8++ywWi4VkMskjjzzCa1/7Ws6fP68c89d//dc4nU5GRkb4yle+woc//GH+8R//cd/vvSc87JDbP3baCMRiMcXUcK9m0geNXNIl66sjT58+jU6n21V1ZDKZpKenh4KCAqqrq/fFbm80ol9dXcXj8TA6OorRaFQmg6mpMH/wB1f5ylf6SaVEPvudXmyq7RNms2I5/zWyM2mXPyQa9X0ArKTtdK22cdIyym5v1/S8yOo/t+Z1rMmaYuO2Rmc0bangkY7vMJYsqUqQJSN3QMqI2bdM2FWBUbTklMtUqRKsJ9iE9CxaxklE1m+IJByOFKGQXHWjVsuVi2q1gFotP5b5o9VyL1AR0OkEdLo0NtscqZSDsbE4U1MR0llRoMT6WkqTSQ2IRCJJ5XFxDlZeKaJ6ixXemAbN9lWCSZWB5EIgI2udN66a2/mEZfvAe7/4dtXP8mHV/9n0+E8uLmI9uTXBajQaqayspLKyUvH6mJubY2BgAKvVmiVt2d3dTUFBwQMxl62urjIwMMDJkyf3TMalUil+7ud+jra2tpeWXvV9QKZAIx6P5yXTtRGHlZTMVaWZ6eBrampCZXPwxOSL2/lyUDhuELiSh4+MGonTSz68/+vfufmdu8rjggAXL1ZsWyW6V5jNGlwuM3a7HpNJi1qtIpmU5+d0WqS0VJYHjkaTRKMpfL4oDoeBpqYikkmRUCiBTqelvt5CTU2SeDxBLJYimYRIRKS83IJer6W310tlpZ2SEjPV1Tbi8Qg+X4rp6TCzsxFaWopJJESGhjZLUR07VogoitsSYmazhrIyK06nHr1ei0YjYLXqWFmJMTi4vCmo3QiHQ8PwcDjnc6IocfnyDJcuuZVgeyfYbHoSCZHvfGcctVqgvb2EeDxFT8/ufG1VKvm+8XojxOMpamrsXL8+v2XCYL3U6PquPpNJQ0NDAdXVVsxmLVevzmZJkl686Kanx6uQilqtisnJACdPFrOwEKCrS143EwlZCqe21oHJpKG3V/48t24tcO5cOdeuzVFQsLYOdHSUYTZr+M53ZHP0d76zadOYNRoNJSUllJSUIEkSgUAAr9fLxMQEGo1G2WuaTCampqbw+XwPDBnX2dlJTU3Nvsi4L33pS3zta1/jySefPLAuooeQsbCwwNjYmCL9uBuoVColKXlQ2EqyMtPBV1JSouzr8vHtyWB5eZnh4WGampqwWvcn8bxeNSXTzTM+Pk44HM5STdnq95eRBgWyJDMPEoJKYEn7YRAPRjXBICbQp2PE1bn3sAu+spyP5wuLKX/2anrAjaO2O+dzBk32/eiLZcuwJQ6YkAsHHZgdKzmf2825dYJE2w0P1z/ty3q8oGDz72toKMXp005u3pRln59/fgWnU4NGo6Gpyc3IyDx2uxFYxmRSo1bHCYXW9pN1dVbKy2U/uNFRP5OTa7Hu4OAKqZSdhgYHZWVmotEkgUCMo0cLSSZTxGJprFYNWq2KsbGVnGt9Rsb5xIlCxVP2+vUFTp8uYWRk7VoVFRkRBPnef/zxI5jNm6VgVSoVTqcTp9NJQ0ODQoZnCjMLCwspKirCbrcTDAbp7+/n5MmTmEymTee6n8gQOKIocvz48T3HbENDQ7znPe/hy1/+MsePHz/gUT7ERuSK51KpFD09PZhMJtra2pAkiVQqte26EwwG6evro6GhYcfuxXg8xd/9XQ+f+cz1LFWJDGw2HSdOFJNMpunp8e4oQw9w/HghqZS4o0pIba1D8XRLbqNSlU5LXLu2JtWfSOSOedVqgebmYqxWLSqVimAwwfe/P4UgyDL6zz8/g1ar4vTpMlZWYkgS3Lw5j8mkZWYmyMtfXsXYmJ+6OielpWZSKZGpqQDz8yHi8TQvvDDLxYtubtyQ9/gZXziQCwzdbgu3by9u+tzr56nW1mJAlsk8erQQt9vKjRvzynUAWS1kdjaI35/dJuBymZTOvmQyjdcboadHJhrD4VHOnClHEArp6dESjW7/mw+FIqwv0tdqJfjrSXyjubOkZrN8Pr1VoEKY41q0I/t8ea43RtYKI68nz+X3ohxwq+WYUcKIJORPbB0GVCoVhYWFFBYWIkkS4XAYr9erSFtmJJBNJhO9vb0UFBTsmoz7rd/6LQRB4I/+6I8ObM8mCILib5pMJkkmk5vmlK9//et84hOfAOBNb3oTH/zgB3e08zo0PCTkDherq6v09vbS2NhIQcHWEoA74aBvkI0LY6Y6UhCEPVVHRiIRuru7qa2txeVybXvsbrG+myczGbzwwgh/+qf/zg9+4CVT8Fl/KcXPNf/btudKSyreGf4Sy9LepH1yoUY7jlUlV328EH4EETWGwt0nke9+wkQokN+1y9X0n0hrt/yFJOPbG3Sq+qcRw2v3p05XSD5qOeFZGzBGdCk3OaNSpUEUITUBiTE06hDOAhVHWg20tlp59NFCqqoCGI0SjY2N+56I02mR73xnnm9+c4br11eYmIgRiwlk/PxyFGfJSIH45SA8/y/wyy+D+u2/B81O7YY50F9xjpVJNeqCBGn1/g1Tc2HOXod/0YLBECamlRNA2kCUP34k/7lnvdeHJEkEg0G8Xi+Tk5NEo1EcDoeyML+Y5FUgEFDIuL0mEjN61Q0NDXz0ox99SMYdIBKJBF1dXRQWFu45aL5fkpWzs7NMTU0pHXz/Y1nNkvgf417Yib/RIXF61sP0J57m2gvZ1YP19U50OtWu/NwyUKnA5TJjtarR6cDhkBO1sVia1dU4Xm+E1dU44+Orm15bVWVDFCUikSTj46ucOFFENJrE74/d69raOhCuq3NQXKxndHQly3D99u0FDAa1Ip8IsjRKXZ0TnU7N0lKECxfKmZiQA1SzWUNbWylXr86STksUFBgoLTVjterRalWkUhLBYJyFhTDLy1HF3Ly9vYS5uZASvKrVAm1tJej1arq7PVlyihk0NZXw/PPby2DKXmoljI76tvW/c7utqNUCg4MyuZhOSwo5Vl/vxOUycfv2Ql7ebvH42jENDQXcurXA+fPlOZMWTU1FSnfbRjQ0FBCPp/n610doaSnmkUcqmJwMkEikcbnMmyQ8z50rJxZLcvNmbhmgsbEVBEGWzxwcXMbvj3H3ro+iIqOyHzSbNczPB7FY5LXWYtHy0z+9vReDIAjY7Xbsdjv19fXEYjHF8zkYDKJSqWhsbNz2HPcDqVSKzs5Oqqqq9rXf/upXv8oXv/hFnnrqqRc9yfofCZIkMTIyQiAQUKQfdwuNRrOttPJekGs9zdgTZDr4dqOIAnL3+/z8PO3t7Qduw7C+myedTuP3+5mfn2dwcBCbzUZxcXGWB3IqlVIKxvZbFLoT2s0/xd2VZo6qe3c+OA84kkEWtyDkxhb21yGn04vkq1l9/QU3P/6TuZ/TbyDkliLZJHMslj3+1D4lK73+Aky23EWM+Z67UCNS+qV5rv/r5vMsLeUu3r15M8YjjxRw+bJM4Pn9KZ5/3kddnYEzZ8qZnfUhCAKtrWauXp3l2DEbxcV6pqaCjI76GN3GmWBkZJUjR2yk0zA0tEplpRWHQ6PsiyQphd8f48wZJ6AmlVIzNxdSOksy6O9fRqtV8cgjFdy4Mcf0dOheEZMZg0HN6mqCsTF5/G99a34dFuvJ8FQqpagU9fb2kkwmqaurO3CPx90iM7emUikaGxv3/BsfHR3lXe96F3/3d39Hc3PzAY/yPxYOah7duP5kPMUrKyuVTpydco5er5fR0VFaWlq2LXKJRJL81V918id/clNRxsjAbtdz4kQR8Xia3l5vXhL0IBeWtbeXcuXKDPkszW63VSGiRFFCoxEUZYeNkCR4/vkZHnmkAo9nrThPr1fT0uJCo1GxtBTGZtMxPOxnYUE+xmrVUV/vZHBwmUcfrWBw0Me1a3NYLDqqqqxYLDplDM88M0FzcxGiSFZMV1ZmoarKhkajYnExzNGjBXg8YXy+KCdPulCpBDo7F5mY2ByrCQIMD/tpbS3G5TITi6UUSf2xsVVUKoEzZ8qIRBL09S1z/nw5vb0eysqsNDQ4iMWipNNq5ucjeDyRTT7QggBqtYpoNMWNG1PAFCaThrNn3UhSAT092ns5vmwYDGa41yZQWxskFhvDf9eKSnXinhJXNjLxkLVCSzmzPBH+maznF9L55Sa16wi5G8mavF6TC26VfK0lVR08QHmpDMllsVgUacvl5WXGxsZYXl7GYrFgMplIp9N5FWCLoshv//ZvEwqF+PznP3/gBVTpdJpTp04xMjLCL/7iL3LuXDZJOjs7q5CHGo3sN768vLxn+f99QSJ3cv8BxQNLyOWS7croIbe3t+8r2M0kEA/Sq2J9UjJTHelyuRQJut1UR/r9fgYHBw/MNHs73LmzyBNPXOGpp0bYqJL2+5+5hlbYnl7+X7GP8MPUyw90TE0b/ONAwlKpYTehdHQsyfwX2/J/gW5DFaqUgi2COfl5i7zi5/ouF2cRx9YIG0Hwk0jkU3HtB+ZgdhGdvp9kUo0kaZB/plqcTiMn220cbZjkwjk9P/Zjp3A61wJ2URQV/e+GhoYD2fSp1Spe9zo3r3vdmomo1xvla1+b5plnFujuDrK4mCKdc3EVYFKEX/tX+E8d8PZ20OeecjSp3U9FaZWOQU85Japx5goPrwX9+diP0bp6m+tFjwLw2sVFClv3lrQTBAGbzYbZbCYQCFBSUoJWq2VkZIRoNIrT6aSoqCgvXemDRKZCbj9kXEavuqys7ED0ql+qyHXdgsEgPT091NfX7ythfNiSlZlK23A4rHTwzcbT/Onq4RDm9xtaJAYSuX+XJiTax2YZ+chTvNCTLdloMmnp6JDlA7fqyLLZdBQXy91tRqMaQRCUrjWfL4bHE2ZhIcyCcur8uoMbGwtZXAzjdBoYHV0BZJ8wvV7NpUuVDA8vb5JdKS01U1/vZGEhzMiIP2dCLBJJUlurx7euSN7ni+HzrRF0NpuOhoYC2ttdxGJpgsEEdXVO5udD947duhIjQ+BlAt2MzGY6LdHZuXjvGC0XLrgJh5P09HiQJLnqdX1l+3bo7FykttaB1ZralKADmXDLkJ25MDLiZ2TEj8Oh5/TpMkZHVzYlK9ZjdVXulH/00UrF3yaX+btOpyIcTm7yvjh2rBCDQU1X1xox2tPjvSdXI+B2W5mfD1Fdbae83ILBoCadlpifD2K1SrzylZVEIiLLyxEmJlazOvMkSfYadDoNXLjgVnwHl5bkz97RIXvHPfPMBACvf/1RzObd/a4NBgMVFRVKxXZ5eTkej4e7d+9iNpsVQmA7n+SDxnoyrqRkB1nxbfBv//Zv/OVf/iVPPfWUUkX6ELtDrrVvfcV/R0fHnvcV96MYxev1Mjw8vCd7goxkXDwep6Oj49C9FNVqtSKnt94DeWxsDIPBgMPhYH5+ntra2n39LvKFSiWwoP0wR8X/ciDncyRWWTTkjrv6p905H88XqVQEsOd17NBdJ29ImwirN68hGz3kFsMbCblsQja1z6Km6aUCqqo2e7MBpPLw5mnQpgl9YpK+ns2KL1otzMxs/fu6fDnKpUtOnn9+rcNtdDTG6GiMs2etPP54OfF4gMcecxGNpkmlZD+kzNomSfIalUqJiKJEIiGSTMr/drtNQJqlpaiynup0Ko4ft9HdvfZ+Op2KkyddlJebSaXSlJdbsVi0JBJpZmdDzM6GuHx5hqoqKw6HAavVQTyeQqNRYTTqGRwMUFxs5NWv3n2HhUajweVyodfrCQQCHD16lGAwqPg8Zn6L91O6UpIkRkdHSSQSnDhxYs9z6+TkJD/zMz/D//2///ehJcF9xHopykyzwokTJ3A4HDvmHCVJYnp6Gq/XS0dHx5Z7rkAgzl/8xR0++9lbyl4QZD/FxsYiYrEUvb3eLYvHtkJbmwuvN7qr4sT1XWEABoMmq5t2I9Rq6Oycp6nJSkuLA7PZRG+v957qk8T4+GpWrFBRYaWy0oYkQSiU4Lnn1sbW0SEXBm4cQ2/vEhaLjpe/vIof/nAKSYL5+VBWHJCRxU2nJaWA8NKlynvpQ3mPn5nfTCY1Go2aWCytkFpVVXZFGl6SJEQR7HYDjz9ez/Cwn1hM3FI2dCPa2kpIpbKzqZFIiuvXJ4FJzGYt5865SacL6O7WkEjI904yKWEySbS3L3PlyhiiKFFWZubECS+9vZtzEvPzcjxpLddgEiO8EKtTnrMJEovpneeaKrUf4Z45UEgqZiC5d8UJt1qW8hSF+y9XuRvodDpKSkrwer0cOXIEu92O1+tlZGQEg8GgKIzkKtaSJInf//3fZ2Fhgb/92789lD2kWq2ms7OTlZUV3vCGN9Db2/vgFmBIwMFu+Q8VDywhtx4Zo9loNMqZM2f2rV+fCcwO8mbNnDMUCtHd3U1DQ8OeqiPn5uaYmZmhvb193wbc2+HKlRk++ckrSnJlI869Nc6bKr+77TmeSz7CJ2KfOPCxZfnH+V+OJbKA6NrdRDz+ezYkKc+gS4qQFLIJOUGKIQnbJFUENcRCYNxwTDIGd7IfUqsTbK2U4wG8wBIQQKNRk0oJJOJx9HqJY8dMvOY1Lt797lpqarYeTzqdpqenB4fDcegGmsXFRj7wgaN84ANr1fF37vj453+e4rnnlhgejrC6KqG0t4sO+NfbcHUCPvgYNG8O7leW9zZr9saP4Q4OHyoh90+aN9AavcN1HkUdjPFH5xz7Ol86naarqwuXy6Votbvd7i11pQsLCw+8Uno9Mj4G+5FOWa9X/clPfvJFlx/7j4TFxUVGR0dpbW3dd6L3MH10MtX0FotFCcpFUeT3VrR7NmJ+0HBcm6Ynmb3/sAsiLb0T9P/mUzw/6tv0mlOnSvF6I0xMrNDUVITJpEOjERBFOThbWYnh8UR29B/bCzo6ShkcXCISSdHUVKQQciB3a12+PM3RowW0ttq4dm2OpqZiQqEEvb1epWJ0O4yORnE6dfj9ucddXW0nGk3xrW+NceGCm5s35zcV/uRCc3MxKyuxrGA9mdx834bDSSURUFio4/hxFzqdkNW1txPGxlYoKjJuMmFvbS1mfHw1y0dmK6ysxLl8eQa1WuD06VL8/iCjo5uv38zMKidO2LIkakZG/Jw86coi2c6eLc+S9KyutlFSYt7yc62uxmlpKcZk0hAOJxke9jE5uYrTacBi0a7z6VulpsZOZaVVIfuKikxotWpCoTizs0G83ihXrszS3FzM8nKUkhITy8sRhoZ8VFSsFYjlkqvMBxMTEwQCAVpbW1GpVErneCgUYmlpSZFtyXhdmc3mQyvuSKfTdHZ2UlFRsS/S4amnnuJP//RP+da3voXdnl+i/iF2RsaDtLq6mvLy/XU1Hcbal7kvMx5rHo9nT/YEGdLRZrPty79pr1ivmtLQ0MDi4iKDg4PodDqmp6eJxWKKhNJhot3804ysNlKvGtj3uezJLawWJIE7k/uTrFRrdteqpveVES7eXNWysUNuIZx9fcOx7Lh3v5KVQ/OFXBRz5z22sW0C4Axx+t43QcSf+8CjRzX09W1/kitXojQ3G+jtzS7EuX49yOnTMUZGlllZycPeATAa1Zw6VcDwsJ/BwSXOnVubvwUB2toKNq2XiYTIjRtyRZPDocds1uLzxejvl9d9u11PTY0Nq1VHMiliMKhxOHT3fOfkTrY3vakBtXpv8c3Kyoriz200GnG5XNTV1RGPx1laWmJ4eJhYLIbT6aS4uBiHw3GosdTY2BjxeHxfZNzMzAxvf/vb+Yu/+AtOnz59wCN8iO2QWdPm5+eZmJigvb0do9G4Y84xY30giiLt7e057zGfL8qf/dkt/vzPbyu/yYICA8ePFxKJ7I2Eg7Vuut28VhDgzJlyEok0FRVWtFoVBoMGnU5NNJpErVYpn1MUJVKpNPF46l5TRxxRVCMIaebm/Bw9amFuLojDYeDkSVlpQ60WMBg0iKLEs89u9kQ7f96tFCfmQiiU4Ac/mOLcuXJGR/1ZRXZGo4bWVhff+c44Fy64N6lXZNDQ4MRi0SGKEleu5PZly+DkSRc+X4wrV2Z52cuqc1oDbAWNRrWJkFuPcDjJtWsTwARWq46OjnKSyQIcjhAFBUM8//z6gkMVougFsgk5s1lkdlYmSk2lGkKp7O6oCq1If2Ln/HuTdk055Eb6LaTz9J3LBbdKPpekatjzOe4HJEmir68Pq9XKkSNHACgokP3GI5EIXq+Xnp4eRFFUZC9tNrlo5dOf/jSjo6N88YtfPPSCLofDwSte8Qq+/e1vZxFybreb6elppfBydXV1RxncQ8VDycqDQzKZpKurC4fDQVtb24EEKhqNhlQqdaBVuGq1Gp/Ph8fjURKnu62OHBkZIRKJcOrUqUP7MT377ASf+tRVpTp7K/zB/3hm2+d9opN3hr+EmKdsx27QfK9DzpcqoCfYSlGoG3YxEUeGkyz8Q9su3nEFhOxAyKBP5fRwy0IsvJmQ65mGaPbkk0qtPyYNLKJW+9Fqo8Riy4CE1SqRSmk4ckTPq18tE3DHjuXXHZlMJunu7qakpCQvM97DQHt7Ae3tclfg6uoqnZ29zM25eOaZZe7cWWV+3kFsOUjio9+E1zTBu06DaU2qI7WHDjmAKdc56pPT3DiQT5Eb190/zqunrgDwqrkFSlv23qGUIeNKSkpwu7MJ41y60ktLS/T09CBJkuI/YLVaDyxhEwqFFFPx/ZBxH/nIRw5cr/qlDkmSGBsbw+/371mmayMOq0sgHo9z48YNJXEqV/GJDMYl/i70wG8z8oYQDoHOAUAhaRpvjND1G09yeUEOUtRqgZoaBy6XCZVKQK9XI0kwPOwjEEgwM7N199RB4+JFN9eurXmkzczkTlCOjvopLTXTcm9es9n0NDcXMzOz2ZNgI6LRNKdOlW3yg3O7Ddjt+iyD8StXZrlwQTZa34qU0+lUnD1bzgsvzG7qDtvKByKDoiILiUSamzc9nD1bTnf3IgUFJmw2neKnJ0kisViaQCCOzxdjeVle5ZeWooTDSc6eLeP69XnOnCmju9uTJTGZDzbKWRYXm7hzR5aztNv12O16pqejOT7/2gMNDU5FwrKkxERdnZPr1+eZnFzriCwvt1BZaUOtFlhcDFNaaqGnx0ttrYP+ftkHTq9XU1pqYmAgmySemFhVpHKOHi1Aq1UxOupXKnoLC41UVMjSPHa7DptNT0dHGdFoSiFIKyttvOxlu/c8HR8fJxgM0tzcnLVOCIKA1WpVgtBEIsHS0hJjY2OEw+GszvGD2htnyDi3201paemez/Pv//7vfPrTn+app57C6XQeyNgeQvZRGxwcpLm5+UBIzvXdBAeJTAIF4PTp07u2J4hGo3R3d1NdXb2v+/Cg4PV6GR8f58yZM5hMJuLxOF6vl6GhIRKJhOJvkkkCHSTUKhUz6g9TL7173+dyJAM5VUw0YiHB2P4K3AzG3b3eN1YOOQg5rTr7fkyIGrSSnqQgJ8DD0Y0dcrsc6AZM+KykkrkLfbewMQXg0aUQz/3S9PplahOczp0HJ4oCo6NQXa1icnLt+JoaHTdvTtDSUkAotLhtwthi0dDWVsDAwDKXL68lbNfvDy5eLNmx82ZlJa7IWldVWamutjE+HqCry5t13KVLbpqbXfzoRzK599a3bi/TvPX7yWRcLhUSvV6P2+3G7XYrUrIej4ehoSHMZrPSPXeQOauxsTGi0ShNTU17/h3Pz8/ztre9jT/5kz/h/PnzBza2/+g4qHlT9j0LIoqiokiSWeO2isOTySQ9PT1byhAvLob5kz+5wV/9VSehUJKCAiMXL7qJRJL09i5tSSjlg7NnyxgbW9mRjKuutlFaakGrVeH3x1hdjbO0FMblMmOx6JieDhAKJSgrMxMKpdDpZPl6kOUi6+ocTE0FCQSigEAoJF+TxsZCbt+WyauFBbnb7+TJAsJhkZGRFdrbSygpMVNX5yAeT9PX56WgwMjKiizhvhOuXZujtNRMe3sJd+4scuJEEaFQQpmLMgoZ6+F2W6mstN7zazYSDG5dkJDpSlx//YLBKMeOWRga2jm2LCoy0tm5yMmT+RWfBYMJbt6c5Pz5JOm0dlP8mkyK9Pcvc+JEjP7+tXWlpkZLX5/8OURrnKnV7K5fe54poqPatYKKH4Yfy+9FW6BCNSGPR7W3+ft+ILOXNJvNChmXgSAImM1mzGYzNTU1ih/ws88+y8c//nEqKytJJpN8+9vf3nfT0lbwer1otVocDgfRaJTvfve7fPjDH8465vWvfz1f+MIXuHDhAl/72td45Stf+eKpZT30kDsYCIKgaPHX1dUdqGTGVkbce0XGuD4Wi3H27Nms6sjM+22HdDpNb28vZrOZ1tbWQ7l5n356lE996kpeleP/6dcCPOrYnuJ4b+SvmZZ2n5DJBxnJyufDjwICpvTOC+F6jP+eHYn8JUlsBZvFv6KRMOgd277OooP1y5NmeY7UZDYZp1KtIoo2dLppBCFAIhFHr0+g0USJxVI0Nup5zWuKeOtbq2lt3X0yJx6PKxXE90NWZif4/X6GhoY4e1b2jnr729eqUebmInz962N873tz3P7df2XxP1+C0/L3lFbtzbj+qu0sj3ufOpCxbwUJFTdmihAK4/zvs3tPDGUSgGVlZTtWe6/XlV6/+E5OThIKhbDb7RQXF1NQULDnBGUoFKKnp4fW1tY9y6Rk9KrD4TB/+Zd/+ZCMOwAIgkAqlaK3txeDwUBHR8eBXVe1Wk0iHzPLXSASieDxeDh16hROpzOrEOW3Vw2k9lHV9qAhYLRRlkrh/m4n/b/zDFMWFfVlJnTVVlZW4kxOrjI66md0VK6kPH68kMFBWRLykUcqGB72sbi4lfHmweGRRyqySLL1ZujrUVUlG37/6EfTPPJI5SZz8aIiI263TM5IksTSUojp6SDR6FrC7NatBYqKjCwtRZXg8vr1eWZnN5N5V67Mcv58OdeuzW0ipY4dKyCZFDeRexlsRY4dO2ZDrzcoATnAc89N3wuG41mdZxuh06kpKjLidBowm3WYTBp+6qfqCAQSnD5dhihKSJKEJHHv37KvqihKyp90WiKdFkmlRCKRGIIgk7B+fwyvN0JBgZH6eiexWJKlpVhOv7rubi9lZQY8nhiSJGI2a2lpKebWrQWuXJmlrs5JSYmZZFJkampV8cCprXVgNGqUgF+vX1sLmpoKszz/cuHuXR937/oQBNmzzuEwMDi4vOmadXSUotGs/Y7f/vbdV9RnyLWNZFwu6HQ6ysvLFR+UlZWVLNmWTIJyryoS69fisrK9d8t8//vf53d/93f51re+9eJ4JPwHhCRJTE1NsbCwwOnTpw9MHeAwilESiQSRSAS3270ne4LV1VX6+/tpbGzE4XAc6Nj2gqmpKbxeL6dOnVIKgPR6PRUVFUrF8/LyMtPT0wSDQRwOBy6X60Al1k9Z3sjYyu9Tqx7a13m0UgpzOkpYk11olortn/TU6HdHjNy54qL93ObHdZrN2SKNaCSplpOZgXA2cZOjSXzXCAZyV6vn6pAzqCROXl3iuc8s7Xhejyc/Ce1oFCIRM+Xlcebm5L2ozSYXC/X0rHDhQjlXrmzeA9jtWlpbHXR3L3H58uaEfjQqX5xHHy3dseB4I6amgkxNyWOQ10Edvb1LrK4mkCSYmZG73evq7Jw5s/v7JxMXt7W17bhmbZSSDYfDeL1epXM8Q4hbLJY954rGx8eVtXiv51hcXOTNb34zn/70p3nssf0lyx9i90in0wwMDJBOp+no6FBUSrZbdyKRCN3d3dTW1m6yPpidDfJHf3Sdv/3bbsxmLa2tLsLhJL293n2RcCDLzVdW2nLmHysqrJSXW9Dp1AQCCcbHV5ibCyFJ4HQaKCw0UFNjY2UlQTicZHFxBZ8vyupqHKtVh9cbpaLCyk/8xBFEUW46WC8XmZGHV6kExadOpZI77hYXw3R1reUXvd4QS0sRRFGkutrBhQtuEgmRSCRJR0cJKpVw7/qy6W+1WoVer0alEtBoBMrKavF4IszMrM2LfX1LVFZamZ4OUlgoq3LIsZI89zQ2Fm4Z/2S67zaSmbFYDK83pcRg2+H48UKuXp3D58svBnW7Ldhsel54YRaXy4xeryIeX1soEvcWDYtlDqhVHnc41vYC5RUaxsQ1uUoAMZkkHw/WI+q1++VqrEUR3doL3Kph+b2FB5OQy5BxRqOR2traHY/P+AG/4Q1vYH5+nu985zucOnWKl7/85bjdbp544glOnDhxoGOcn5/nXe96l8JvvOUtb+Hxxx/n4x//OKdPn+b1r389733ve/kv/+W/UF9fT0FBAV/5ylcOdAy7wkNC7mCQ8ZVoaWnBat1bsn4rHGRglvHtSiQS1NTUoNVqd1UdGYvF6O7upqKiYt+SLJvHJvFv/3aXP/iDq1nJqu2g0kr8/i98c9tjPhf7AP+WfMNBDHETjEKEI9oxAH60+jIADNoQ+c7E4cEkS/+6O/nCQATYeItJO98foeUo3OMx1GICVdfGMQYQxXFAuKfDHAQiaDRJHnvMwK//+jHa2qr23PkSjUbp6uri6NGjFBQU7PyCQ0bGf2IrM/rychMf+EAzH/iA3N4sSfAL/zDNF40u0vq9EV395af58aG/h7qdj90PxiwnuDg+R1XT3kjP3ZBxuZBZfMvKyhBFkdXVVaWDQKfTKQFcvv5v4XCYnp6eHY2ct8NGveqHZNzBIBKJcOvWLaqqqjZ1Ue4XB52UnJubY3x8HKfTqZBxmQrNW0kN34g8sFuMXaM1uErJP98k/MIEXk+YZDDJlE9kamrrICgSkRNOgUCCy5dn0GpVnD/vxusNZ8lHHhRUKrhwoSJHx5plEyF38aKbzk6PkohaHzhmsN6TZT3KyiyUlpoxm7WkUhI2m5ZkUuLKlRkluNwKV6/O0dZWSHf3MqIodxVevFjBlSuz21bGr6+AFwQ4ccJOJJJmaChALj+9/v4lTCYtFy9uLROTSKSZmwuhUgk4nQZEUeLJJ0cxGjW0t5ewuBhibGyz8fpusLoaZ24uxLlz5cRiKdrbSzCZtIiiRCAQZ3o6QCCQoKamgOpqkVQqgVarJRyOUFdnY3IypHjVZWA0ajh1qpSrV+eyrllGSuv8+VKuXl3YNJatIElyskA+h0BbmwujUUtfn5dAIEFRkYHvfndCOf4d79idXOXo6CiRSISmpqZdrxMqlYqCggJlj5PpHO/r6yOdTiud4/l27GS61Pe6Fmfw3HPP8bGPfYynnnpqX76eD7EGURTp6+tDkiTOnDlzoHuKjX5v+0XGnkCn01FTU7Nre4KFhQUmJycV+boXExn/umQyuaWEGcjqMiUlJZSUlChE+XoPSJfLRVFR0b4qtNUqFROq/0YtP7fnc2RgTwY2EXKh4P7j7K1di3Ljxo1KTokCoiq7CkWbg5BTiSZQrwAQiGTHUZkuNtkDaW+/jeWV3IRcbIOnj0srUvA3c1x7cvv1HECnk5iYyL/Qy+tNUVtrxGZLEwiks36XV64s09bmoLNzBZClqBsb7XR2ennuubktzgihUJKLF0vyJuPUagGdToVOJ3s2abUqdDoV0WiCRCJFVZWN8nIzWq2GF16Q8yd76Y7bDRm3EesLMzOd48vLywpYPW5eAAEAAElEQVSh5nA4KCoq2lVh5sTEhNKlvlcybmlpiTe/+c38/u//Pq985Sv3dI6H2DtisZjS3R+NRvMqAvH7/QwODtLU1ITNtqa+ND6+wh/+4TX+/d/HqKmx09BQcCAkHMj79AsX3PT0eLh5c57SUjMVFTaMRjWSJJBIpFCrVajVAum0XOBmNmsJh5M4HAaFDLpwwb2p41WlEpicDBCNplhejmI2y/v8oiIDbreeUAhGR1fp6fEoftRXr8rnmp0Ncu3aHFqtiro6B0VFJjQagWAwxpEjJu7c8dHdvcjRo056e+WOOo1GoLTUTGGhCZNJi0ajIplM3+vei+BwGKistLGwEKK7W+6yraqyceSIg3A4qRTUWa1aqqvt3LmzmBWn6fXqLMn8DEpLzbjdcgddLszNJVhdjXPypGtHQm56OkhZmYVUamfJ5bNnSxkc9DE7G6K83MLcXIhLl6p4/vm1DuJMkeStW9O43VXMzsrrfnqdtnKtY5EfJs9mnXs1JeYlelalXoth+rV1+/IDqxRkK6QHUbJSkiT6+/sxGAx5kXHrX/fXf/3XPPvsszz55JPK+jI8PHwoMpGtra3cuXNn0+P/83/+T+XfBoOBr371qwf+3i8FPLDZslgspmjxHzQOKimZSCTo6upSZOQyMl35knGBQIC+vj6OHz9+oFI36bTIP/7jAH/4h9cYHMxfWxjgfZ/y0mgc3vL57lQLvxr9zH6HuCUa9f2oBXkyf87/cgCMlhiQn5zewmeKSSV3GXAZclx7YefA3azXo7jEdE+TWM2cJwaMAxHk0C2GXh/hzBkrH/pQG695TQWhUAiPx6MYOhcXF1NcXJx3YJ7pbjpx4sQD4VmyuLjI1NQUHR0deROMggB/8Y5CfmUuyhufjDEpmuWM8i4gocKbODwyUhVLYlsOYtbX8Gcde7vOqVRK2TzvpxpfGZNKpRAgIBOzXq+XgYEBksmkkqC02+0556BwOEx3dzctLS179iSTJIlPf/rTjI2N8fd///eHrlf9UkIkEjm0ivmDWvsyEsvBYJCTJ08yPDy8qRDlo779S2y+2GgYnqX0+/3oF1ZR+SMEg4ltJRc3YqNESTIpcvWqHOi2t5cgitK2HVy7gcGgprm5OKdU03q5yoICI7W19k0B98TEqtLRtxPi8RRarQpJgoWFEDqdjdu3F0gmRYqKjDgcBiwWHXq9nOgCgXRaJBZLEQrFmZ4O09RkZ3k5hsGgyyuJFoul0OlUnD5dxtjYMn19OxNlkUiSF16YpaOjlKmp1U0Ba2urC51Oxe3bi7jdVm7ckD3uIpGUImd18qQLjUbF7dsLeX/vG7G+Y3FubrO0TEODE6fTSCKR5oc/9JDcRj+so6OUxcVwzkpalQrOni3ZFRkHcjLAbNZiNGoxGNQkEiKSlKSpqYiCAgMrKzHls589W0ZDQ35rbkZ2NxqN7isBuB4Z2Zbq6mqSySQ+n0/p2LHZbErneC5SYL1k9H7IuCtXrvAbv/EbfPOb3zyQNf0hZKRSKex2OxUVFQeuFHKQ51taWmJoaIjW1lbFz0MUxbztCcbGxggEApw6derQ5IXyRcZ/2mq17sq/bj1RnvGA9Hg8TE5OotVqlZhmtyREJBIhPXiEiaN11Kg3yzzuBo5EgDljdkeTx7d/Qi62yy1UPKHFESnFZ9ngaRbbvIZJKVPGrozVUPa1S0sZz8K9E8tLS1sQcutOeVSbIvCxKQb78/Nzq62VGBzc3TjGxhK0ttqYnw/S35+9B+rvT3DmTAGCEMPvT7C8HKShwYrBoFW6VDKQO9QlCgq0zMz4qKkxolbrAIFUSu5cTyYzf9IkkyKJRJp0WiIaTRONpikpMSkFRiCxuirLi4fDCcrK1qp13/rW3RX7+nw+7t69u2WR6m6h0+k2FWZ6vV5GR0fR6/UUFxdv2zk+OTlJIBDIq0t9K/h8Pt785jfziU98gte85jX7+TgvWexnLVpdXaW3t5fGxkacTifj4+OEQqFtvXbn5uaYmZmhvb1duTeGhpb58z+/zcDAMn5/jPn5MLOzByOpbzJpKC010tBQRColcv68m2g0RTCYYGEhxOJiOOceV96/lisec9GoXLCwvuMtg8pKG5OT8vxZVmZRpOKXlmIsLcnqHPX1TkpLzZhMatJpeOyxSpJJkdJSM2q1wPR0kNHRlaziyPPnyzEYdJw/X4jXG6a21kwwmMLnk+eE9bKNdXVOjhyxK9L0G2Utp6YCTE0FuHhRJiUDgQQWi46iIiPhcHZZR0dHaVb3myDAxYsVdHV5uHVr6/283x+jsbGQO3cWNymjrEdzczG9vV7a2kpYWtq6Q06nU3HmTJkS/wAUFhqYmwsxPu5TyFNA+X7SaYmamkVmZ+UC4uXltc/msqzyt+FXZb3HisaQF7lmT4yBDubFJqbT++MCKlSdiEI5CHvLeR0WJEliYGAAnU5HXV3druaGv//7v+eb3/wm3/jGN7Lm/IaGB490fFEgsfvqqRcRDywhV11dfeDyIhloNJp9nztTHVlfX4/L5WJmZoZEIpE3GefxeBgbG+PkyZMHZpSdSKT50pd6+cxnrueUp9oJpkKJT7zxn7d8PiyZeFv4K8TZm0xQPsjIVXpTxQyE5HZbY1F+31ViOM3Ul4/sfOB6SCugdWx+PI85MRyQoARYmCE97gTSaDSTpFIryGRckJoaFe961xE+9KEmtNo10iLjl1JXV3ev5TybUNnOoyGjRb8fqcGDxOzsLAsLC7S3t+8pudBYrqP/53R8r3+Jv+n283xcwH/ESfJYIeRhnr1q2n8XkdoTwLYcpCIR56hOot2h4WVVJtqrzQiCAdhb0u2gybhcMBqNVFVVUVVVRSqVwufzMTs7y8DAAFarlaKiIgoLC9FqtYpkRXNz877IuD/5kz+hu7ubr3zlKy96Quk/GoqKig7F6wYOhpBLp9N0d3djMplob28nkUiQSqWy1r5vR1Rcjv+/SdIeuztD8TN9TD09iKQS8GpUDA4uK/5iZ8+Wc/v2fF5VhsFgAkEgJ5Fz584iIPt4OZ0Gbt6cVwKd3cLpNGQFpeuxXq4yQ0zlOg5kicpcsFg0HDtWhNGoYX4+zNiYP0t+pqDAyMmTLp5/fnbLrrr1aG4uxu22YjJFmZxcoaBAh0oFWq0anU6DTqdBo1Ep1bNqtYDLZSYUirO6GqKqykZ9fREg3OvKFEmn5aRbPJ4mkUgRiaSIRJKEw0lu317A6TQo3nCnTpXi8UQU5YAzZ8q4eXN+k28doBCmFRVWqqvtSmCdL5qbixRPuI1obS3GaNRy584iTqeBO3cWOX26LKfHRlGRAZdLx+3bm787QYCaGjsGA6yuxrh0yY0gCEgS9zp3JCUxGY+niMfTRKMpolH5+sTjaaxWHS6XCYtFRyyWYn4+RHd3kMceq+TOnbWE6Tvf2bzp/XNBkiRGR0eJx+P78qnZDlqtVunYkSRJ6RwfHx9Hq9VSVFSkFDqJokh3dzcul2tfncc3b97kV3/1V/nGN77xonn2/keFXq+nsrLyxR7GtpicnGRxcZEzZ86g0+kQBIFEIoFGo8nLnqC/vx+dTndgnuj7QUbyvrKycl/70/UekHV1dUqRWKaLNUPObZc0hjUJz5amZgb4NWqkX9jzmEDukNuISc/+CbloavffW2y2DI5lE3Im0+Y9UippgHvLsC+0th5rVRJJUX5ftVoDe+Dk7FoJ4UuD1IxrqPhpN74jdgaSWiQEmWRUw1kxRs97J4mu5P8GxcXaXRNyICfPL1wQiMVk32yPJ8HsbITl5Rg3biSoqbHgdttYWFjd5IW6Hq2thTz77PS6LvrN+w9BgIoKCy6XGaNRQzot4ffHmJkJsrgY2SQl7nabicUS9PevAHDqlIv6ekfen83n8zE8PHxgZNxGbCzMjEQiSud4KpXaVJg5OTnJysoKLS0teybjVlZWePOb38xv/MZv8Pjjjx/kx3mIPLCwsKCoEBmNRtLpNEeOHGFoaEiZZ10ul5IXyhRORiIRTp06hVqtpq/Py9/+bRdXrswxPR1Ap9NgMKg5dqwArVYuoFOrVWg0ciynUgnKuTIS7RmiO5FIE4/Lf2TPYjMajQqNRsWdOwuEw0muXp3dMVYyGNScPl2GXq/h5s35TYWMIyN+amrsivcxgMtlUgi5I0fsOUm7kRE/6bRIQYGRVCpNUZGZaDTOwMAykUjuGPvuXR9+f4zeXj8LC+FNz1dUGKmqsmE06pmeDvHMMxPbfjbgnuSjiWPHCrlxY57iYhNms4ZweG0Mi4tr71Vba8dg0O7og5lBUZEJWObGjXnq651ZahoZWCxylYfZrMXjyf191NTY0GrVWWSc/BqZDJubC3HhQiVXrshqGhlCDqCrawKrtYxYTJXVLR0yFJFcRzVYkFhI5zf/FCLHTVfTb8nr+K3gVImYhWXSwsv2dZ6DhiRJDA4OotFoqK+v39V+8B/+4R/4x3/8R5588skXXWHhgYXEvroq7zdekpnU/SYl11dHZjrjrFYr/f39eL1eXC7Xlt1OkiQxMTGB3+/P0unfD2KxFH/zN9388R9fz6qE3w20WoHf/sIcZZrFLY/5lcgfMyAerCbtRmQIucuhx5BZMQlTeX6T993/4UQUdxlsCQHAselho1mfY0u/AaIBEjG4I2AyzROJTJJKrVJXp+L8eQcf/eg5qqp2lls1GAxUVlZSWVm5yaNho1fY0tISo6Oje5K/OAxMTk7i8/loa2vbd5fUq044eNUJBwAzMyE+95dXeS6QZL7cRvBYEdFGF2nL5sBmUptnci2WxLCwQlEwSo2UpNkscM6l5xW1FoprtMDBdamCTMbduXOHyspKSkv371uRDzQaDS6XC5fLhSRJBINBvF4vU1NTgNxN19jYuGcZYEmS+PM//3OuXLnC1772tQOZvx4iG4eZpNvv2peRSsl4ykiShEqlQqPRcP36dTkJUOzi4+EX389yNzg2MEXx9/qZeHqIoYkVJvRqzp6VvUxSKYmGBifT0/Laev36HKdOldLb693S1ywDUQSrVUcwuDWBk6mqLC+3UFqqY2BgJcujbSdk/Bf6+3P7vMhyI0FOnSrbMcAbGFhGrRYwGNQcPVqAJCUIBNJMTIS2rNJUqwXu3vXhcm1fWGS1amltLWFhIYTTaeDb35alqRsbC1lcjGxJ4jU2FpBOw+3bY5w4YaW/f/d7HINBjcGgwWbTc+GCmx/8YEp57tSpUjo7F3ckQ2dmgszMBDGbtVy65GZqapXp6e0riouKjHg8kSxZSYdDT1NTMbOzQUXaBrgngSNy5cpsVqVrRoa0q8tDf38Ao1FNZaUFk0lFKpUmHBZZWIgiCBI/+tEs8bgEbN89WF5uobLSitEoJwVmZgJ4PJu/g0ceqSAcTirJC71ezRvfeHzbc8NaIiiRSHDixO795vYCQRBwOBw4HA7q6+uJRqMsLS0xODhIPB4nlUpRXFy8r864zs5OPvjBD/Jv//ZvimfYQxwcXmyCajuIosjAwACiKHL69GkEQSCdTlNSUsLNmzeV7szCwsKce+GMokppaekDQToGg0H6+voORfJ+fZFYMplUunii0SgFBQUUFxfjcDiyvu+M5H1GwrNDfDvTq5+kUjWx53HYk0EESUQS1mLIwdn9E3KhPdjwTvS6cR27nfVYLp5mZUXCdE9Rbjm4doBaEEkqvjt7+5009t8ltrDKxBU1E1dWACiqN3H0bRVEmwqwLcb54a/MyYmsXcDv3zFaVuB2w5EjcZaXfWg0Ek8/PZvVLVNYaKCpyYzNpkOlUhOLpUmntVRVFVJVZWZ5OcjgoF8pcqqrMzM6uqiQcRqNQFWVlaIiEzqdmmRSZHk5ysxMkOnp0I5rNsjFL2q1hMNhortb3m+87W35d8ctLy8zMjJCW1vboZBxuWAymbIKM5eXl5XCzAwBt50c7U4IBAK85S1v4UMf+hBveMPhWJY8RG5kuqr9fj9nzpxRmgokSVK8djPz7PDwMLFYjIKCAgKBAHa7ndbWVmWu/eQnr/Cv/zq0Z7WHDBwOPQ0NBRQUqJmfDzE+vkJhoZGxsRWFyLp8eYaaGjt2uz6nEojDoae11YVKJdDfv4THs3XnVmWlLYuQ0+vl9HVJiYmbNzd704Esl9nVtcj4+ConT7r43vcmUKsFmpuLFQnJpaUIg4PLyhzk88Voayuhs3MtF1pba8fttiIIAtFoglu3lnaM/TbC44ng8UQ4c6aMiYkVTpwo5sYNedxtbS46Oz1otSrOnSvn+vX5LIn+neD1ytc7Hpc7fw0Ged7MwGbTKddfEMgZ65w/X05Pj3dT5x5wT+VExvx8QCkyXU9qhkJJLl3y4fGUMDy8dn6vMXu9rdSKDCTzyxUWqOX46Purp/M6fiuUq+WOSVG1uw7nw4QkSQwNDaFSqWhoaNjV3vef//mf+cIXvsBTTz31QDRlPNB46CH3YGM/ScnJyckss/GMZ47JZOLs2bNZ3U6pVIqioiKlYiXTmqpSqWhra9u3P0IolODzn7/Dn/7pzW0Xsq2g16uorTVjMOjwSyv8fNuXtzz2HxNv4a8S79/PcPNCk17W+X3unn+cMbKEULpzB2GoO8HivxzZtay+rUCXw30GonGVIhuyFQTBgmF0GJV6Apcrxqte5eSDH2yjocGxu0GsQy6PhkwwKwgCqVTqgSDjMhvEcDjMyZMnD9w/rKLCwv/66NoiPDcX4qmn+7m2FKffqGOq2MpKfSHSkQIW3PXIEaS8oKm8QaxLAcoTcY5qJNodah6tNHHmqBn1cTOK8d8hIplM0tnZSVVVFSUlLw45IQgCNpsNm81GeXk5d+7cwe12Mzc3x9jYGE6nU0mM5PP9ZfSqv/e97/Ev//IvhyInHIvFeOyxx5QE6pve9CZ++7d/+8Df56WK/ax9GamUEydOKH5xmXO1trYiiiLLy8t8fiFKn+HB9xOs6xrB+q07eH80w9BUgKF7jzc3FxMKJbJkFEtKzPh8a1KOt24t0NrqYnTUl1XlmAs7EXIZzM2FmJsDu13PqVMuhoaW8Hq3T3TV1zsJBOI5ZRAzEEUoLbXw/PMzGI2ae3KSWsxmLXq93IkmG57Lla82m55IJMHIyBKLiztLVh0/XkBf3zKhUIKWlmJ6erxZzzc0OCkuNtHZ6eHGjXlOnSrNurYDA8tUVtqwWDSKnx1AQYGB6moznZ3LSvJATm7tjpDT6+Xq28HBZb73vQkALl2q4PnnZ2hrK6G317utRORGhMNJnn9+FkGAkyeLUavVObvW1GqB0lILvb3y9WhqKsRqNdDZuZCTGJ2cXNuJXL48w5kzZcRiSVwuM/F4mhMnivB4wkxNBbh7N5twKyrS4/NF7pFxaxAEqK6243KZ0elUBIMJJidX791r2ycmM6Tg+fNrBS8/+ZP1OJ3b7z0yZFwymbxvZFwuGI1GKisrcbvddHV1YbPZSKfTXLt2DYvFoviu5ltU0tvbyy/8wi/wta99bVc+D/ni4donQ+7s3Ge28ICR2c8VFRVRU1MDoMhUZpLgGfm4sbExjEaj4qem1WoJhUL09vbS0NBwKN4eu8Xy8jLDw8P78hDOF1qtVkkap9NpfD4f8/PzDA4OYrPZcLlcRKNRPB5PluS9VqVhWP1rVEq/uOf3ViNiTYUJaNcK0O5M7F9RYzW++znthecr+Ok3Zj+mVm/eO2j1JUAfSAKrkbWiXrWwv9/EGV2Iq5/t5MwZK0VFZpaW5PMtjURY+t27ALS3xzh31gRY6e/XEQzuvI8zmQQGBzd3kqyH2y1x5EicpSU/g4MrzM5CVZWJQMC/ae1dXo6xvBzbdA6NRgASFBcbednLKtDpVAQCYVKpKEajjlRKTzAosrgYZWwswNhYrsh+Z9hsOpxOLcPDfiornUAQtVrgjW/MTwYsQ8a1t7cfSoyUD9bnEaamplhYWKCgoIDOzk7UarXSOZ6vOlMoFOJtb3sbH/jAB3jLW/bXrZILL7W1bzd7onQ6TW9vLzqdjo6ODiXnKHevrf0+18+z4XCYzs5OtFotS0tLiKJISUkJdrudd7yjibm54JaqDVvBZtNx9GghBoOaxcUwIyN+hVA6csRBa6tL+f96ZEi0s2fLmJoKsLAQprzcwpEjDuX5qamdf6sbO+CiUZk4Ki3VbuputVi0NDcXZylNGI3yupJOr9kEaDQqmpuLOX/eTTKZRqNR4/WGKSw0UFNjp6LCSiiUwGLRMzmZ3zh3wo0b89jterRaVVbhXVNTEZFIakvJye0wOOijsNDI8nKU8fGVTb7ZLS0uJeaIxVJZ+yuTSUNrq2vb+2F9QeHExCpnzlTQ2enbNHePj49TU1PG8D3Xo+pqDR5DUdYxDjV5ywgWGeV7p0fdsS9ixa2Sv7cHxT8u49krCMKuZMIBvvGNb/AXf/EXPPnkk3surH/JQOIhIfegYy9JSVEUGRwcJJVKcebMGaU6cqNE5fpup2QyqXQ0RSIRkskkJSUlNDQ07IvAWFmJ8X/+z20+97lb+HybN67bwWBQ09JSDEBvr4eBATm59Wf/3oNVlTtBM56u4efCn9/zeHeDJp1MyP3ILxNy1qiHfKoBx/5nMah2Lx8UiKsVeZAsqLdJ0kgihMZRB/tpb07y5/90gbq6g/dxW+/RkNlUl5aW0t/fjyAIyqb6fldIZBaTdDpNS0vLfUm4lZdbeP97m1hPCafTIj/sneMZv4a5kWu0Ow286Uw1ZkcUr2MJn8+3zsvChlp1fxKDmeRNdXU1LpfrvrzndohGo3R1ddHc3KyYOafTafx+Px6Ph6GhIUwmk+I/sFUQuZVe9UFCr9fz7LPPYrFYSCaTPPLII7z2ta/l/Pnzh/J+LzWo1eo9yWHOz88zMTFBe3s7JpNJIeMyHXKZc9uLXfxNPD99+PsOSeRE/zTO7/Zx95u9jC5kk10Wi+6e7GJ2QCQIsvRJPJ593bq7PTQ2FjI3F9oksbIesi9J/lhdjXP58jQ6nZoLF9wsLoZzSlC3troYH1/ZRPbZbDqOHHHgcOgxGrWkUiLRaAqDQX1PpnBrIsZm0xEKJRXpRpfLxJEjDjQaFfPzQcbGNndeFRSsLaAmk/xZ9Xo1HR2lrKzEGBhYZnjYj8Ohp67OkVOOcXo6QEGBgcbGQoaGlrlwoYKeHg937mT72Q0N+dFoIJ9bWKtVcfZsOSMj/k1Bbl+fl8cfr2dlJUZLSzGJhCx1GYvJEo7hcDJLjiUXJAm6utbM2ysrbXR1LRIKydFmpjr30qUKFhZC9PVt7c1XWWljenot2G9qKrpXQeknGExSXGxCr1dTUmJGq1UxPR1QKmDNZg0Gg4qFhQS1tXYcDi3pdJJgMMXCQoyJidWsyuJ8cPGim8uXZ9BoVAwMrHVevuMdTTtcE0nxk2xsbHzRO55EUaSnp4eCggKloy3jd+X1euns7FT2UkVFRVtK6g0MDPC+972Pr3zlKxw9evRQxvpw7Tt8CIKAKIq7ir/C4TBdXV2KPcFWXuHruzPD4bDiES2KIolEgpaWlgP1Ct8rZmZmmJ+fp6Oj474TBuv9siVJYmVlheHhYcLhME6nE6/Xm7UH7bC8k5nVJ6hQTe1w5q1hTwYUQk4tWplb2X8SK5IU0Gsl4sn857fpaQvWpI2gdm2eV6k2rzGRuAk7oJWyO6vU695KFNPsJn1TpBcZ/b0fAhCLidTUCAohp5xfDRaLyHPPLQFL6HQCHR1ODAYrd+8aWFrK/Zs5elRNZ+dmsrCiQqKmJo7X62doSCbhMnA6dUhShJWV/DzqAFIpiampIFNTQWw2LWfPyh38N2/u7HmbL+TuczN9ffK6PjYm75Ve8YpKSkp2Jq+WlpYUScEXi4xbj5mZGZaXlzl9+rQy58ViMZaWlrh7967SSVVUVLRlYWYkEuHtb38773rXu3jnO995KON8uPblRjwep7Ozk7KyMiorK3OuOxsRCATo6+tTCiczhZKZbsmaGgfxeJIzZ8pyEmgZmM0ajh4txGzW4vVGGB72b+pEs1h0tLW58pKlvH17gVOnyhQPZK83sslzbTtslK2cnw/icGgZHMyOZ44eLSAWS20imHp6PBiNmqx9fSolKp1wGo2KlpZiCgqMJBIihYVGYrEUvb1LWYRUvlj/9WT+nfnOQqEE16/P0dLi4pWvrCIeF3nhhZl9dS02NBSwvCxPsi+8MMvp06WKNYHXu0ZY+v0xpUOurs6BKEo7krMbu+ZWVyNYrTp8vuz5OxSKU1g4w2tekyIWWyEUipC8CTy+RsrtRkdLxwKiJNAp7i+P5lbL95koHM7efTfI5E8lSeLYsWO7ipGefvpp/viP/5hvfetbOByOwxvkfxQ89JA7GBy2bFcikb/mRCbBXlhYyJEjskdZPgujVqulrKwMm81Gd3c3brebWCzGtWvXcDgcihRhvsHh0lKEP/3Tm3z+83d25WFiNGrukXACvb1ebtzIruZueDTN+5u+nvuzSxreHv4HAhw84bQRpeo5CjXLzCfLGA7Lski6ZG4ZrvWI9qSIfH8PlQ9SCvRbSLVocshMpKOwMoghepefeJWZP/7jixQXH6527/pOtMymuq6ujng8ztLSkiJPkPGdy+jFH+Z4BgYGUKvVL3rCTa1W8bJmJ87uaQrrC6mqqrr3jF5ZrDJeFv39/Xn58+0XDxoZF4vF6OrqorGxUSHjAKVKsqhITvyGw2G8Xi9dXV0AFBYWYjKZcLlcqFQqvvzlL98XvWpBEBRvu2QySTKZfNGTuvcbh732iWL+wUXGB2p1dTVLKiWz9m1cu/5PQMN0nvrw9wWSSFPfFI7v9jH69BD9s7m7q06dKmV2Npizc6m5We76Wi/bkcHAwDINDU40GhXLy7m72TKVmbtFIpHmyhW5E6ujo4RUSlI8z86dK+fOnUVUKpm8cTgMpFIi8/OyYbrdricWS/PDH04jCGsdYTvhyBEbXV1ra25GZiWDggIDdXVOdDo1Ho9cJbuyEkerVVFRIct3v/KV1dy+vZBFvFVX25EkaVP3XAZarYrycgvl5VYqKixcvTpHMLh5Jx2JpGlvL1H893JBrRY4e7acqalA1mc+ckSWnVlZiTMwsITfL5NVs1vcE2q1gMWiw2TSYjJpMBg0CIKIKKaw2y2o7/mbShKIokQyKXex2e16Uqk0kiT/jvO57lVVMiF36lQpsViKvr617yBDqNntepxOwz3iuASLRYcoxolGY/j9Amp1IidhulucO1euBOhNTUVKNXFxsYkf+7GtPXrXB5rHjx9/0edtURTp7e3FbrdnyUuu97uqra0lHo+zvLysFM45nU4cDgc2mw2TycTdu3f5r//1v/LFL36REycOT7L94dp3+MgUY+Ybcy0vLyt+zRl7gkwhylaxX+Z7NJvNaDQaFhYWqKysZGxsDFEUs1RT7icynavRaJSOjo59S8wfxHhmZ2ex2+2cPn2aSCSi7EEFQVD8kO6q/jsV/PKe38eRCDB9z2daShycdLzDKrHo293vU+0tg/J1hJx6c+VSKCETcmoxOwbVa9Xrkku7y9zWXO3j5j2pxkgkhd2eYqOcjNEIi4shMmmhRELi9m0f4EOlghMnrPf2OS5mZ9d5AlnW9pOVlRLV1XE8Hh93764yk2Pp0+lUuN0qent3320iCHDhQjGRSJSREQ8zM7tXBtoKGo3A8eNO7tyR8yPHjhUyNCSf/61v3TmR6/V6GR8fp62t7YEg42ZnZ/F4PJsUbAwGgyI5nynMXFxcZGhoCLPZTFFREQaDgYKCAmKxGO985zt561vfyrvf/e5DG+vDtW8zAoEAPT09HD9+nIKCgrxyjh6Ph/HxcU6ePKl0P6pUKqUIIqO69O53H+G//bcbnDhho79f/h0ajRqOHSvAYtHj80W5e9e37T773LlyxsdXtu3o0mpVtLS40OtVxONptFoVqZSIJEFhoRGn04Dfn39TQUWFLFtpsWiZmwtz/nwpV6+u5TMvXargxo3cco/hcJJz58q5di03+ZRKidy5s0hxsZHm5uIsycr1PnoZ7ESerX9+7d8SlZVWysutaLUqQqEE8bjIwkKICxfcpNMSMzPBLWOS7bDR/3p0dAWXy4Tdrs8iPufnQ+j1Gi5eLOf27cUsacutsDG2vXvXx2OP1fCjHy2i06k4edIBJDEa1Xzzm9cBuahvfHyFY88MYPqps0TuxUPhPJcuM3HU+BgQf5wVcX85BbdKJpIl1YtLyGUKFkVR3HWM9Mwzz/DEE0/wrW9968Alxv/D4qGH3IOP3XTIZaoj6+rqFOP4fBbGDNZLg2Q2HOulCIeHh7FYLLhcLgoLC9FoNn8l8/Mh/viPr/N//283kUh+dK/JpKG5OdMJ5+X69a0rYT79v6+hFXJXg38s+jtcS9+fKqVs/zgZBs3Oeu93P1ZEOLoXWUA/qIo3PyyJoF5XDRfzgn8QG1O85U0lfPKTr8VoPPyfTkZjWBTFTZ1oer0et9uN2+0mnU5nVUDt5GWxV2QSXGazmdra2hd9w5xOp+nq6sLlclFRkbs7cr2XRS5/vqKiogO7Tslkkjt37nDkyBGKi3PcV/cZGb+v48ePY7dvTahngiGLxcKRI0dIJBIsLy/zV3/1V3zlK1+hrq6O+fl5vve9792XJFI6nebUqVOMjIzwi7/4i5w7d+7Q3/Olgt2sfel0mp6eHvR6PR0dHcpjW619K2n4w9UX31NQEEWaeidxPNPH8LeG6Mth9p1BYaGR+nrnlkEayJKTAMmkqGjnr8fwsFy5qdWqcpqA6/X7m1skCW7floPD9nYXpaUWAoEE1dU2xsdXs8ibc+fKKSkxZcnASJIsgXjqVCnDw74dinm2L/Tx+WL4fPJewu228vKXV5NMpjl2rIDe3iXGx1dpayvJqnxvbXUxNbWa9ZjFoqWhoQCbTYfBoGFpKYooSly7NsfqahyrVcfZsyWMjvpZXs4e01ZrryBAU5Mdvz/FlSuzaLUqTp50YbHomJxcZXxc/rP++Joa+5bBbzotsboa36L7MXcysaLCilqtYnTUrxCZNpsOm01/j9zToNOp0WgyZJ5EMinicOh59atriMVSGAwazp0rJx5PEQ4nWV2N4/fHssZSVGSkrs5CIpHizp3NBu57xenTpdy6taAE9+u7O9/61kZl3BuR2asAu676PAxk9ipWq1WRGNwKer1ekXoSRRG/38/169f58Ic/TGlpKfPz83zuc5+jtbX10Mf9cO07XGTWv3xkSqemppifn99kTwDsSOiJosjQ0BDpdFoppMvsrdYX0mVULg6rQCyDdDpNX18fRqPxvqlabIdkMkl3dzfFxcVKId36PWimi2dgYIBU8jizDRW41buX8gK5Qy6DaKjsQMYPYDXDYv4NHgB4hsvRlQ8p/xdydMgFoibcQHID16RRrZPlV2nyTjRdUK1w5W/7lf+HQin8/ghgyTpOr4e7dwO4XC48nuxxiSLrvFtXqa83U1bmYGHBhCimePTRGIuLMgk3Pc22aG+3cO3a7r/LlhbHPUuQAF5vkKoqQ16d8vlAEODUqeKsfaDLZWFoKILJpOH1r99eojhDxrW3tz8Qvtpzc3MsLi5y8uTJbWPbjYWZmc7xd7zjHcRiMfR6Pa961at43/ved+hzxktp7dvpWi4uLjI6OkpbWxsmk2nHIhBJkpiYmMDv92fJ/m5ERnXpfe97GV/84jRdXR4uXixmYSHM9HSUzs7NPm8bUV/vxGjUbBkzabUqWltdGI0apVhteNjH0lIUlUqgqmrNC06tFmhtdWG16hgZ8W2SntyIhQU5lisu1qLXq+nulmMfWX3DuWPx206+b5niyhdemN3RUzofOBx6jhyxo9erCASiTE+HmZ4OMj0dRKMRaG6WFVna20uyJCZLSsxUVlpIJKJEIgJjY6vsVEd7967s/50Zt98fo63NhdmsZXk5RlmZmYICI6Ioq4H4fCHOnClhaSma5cm5ESoVOb8XjSbNhQsO+voWuXMnyOnTZfzoR9M0NDjRatXK5wl4wjT7Vrh+Tx1gMZXfPNKsk+PMa+nX53X8dqhQTyFhRBJePO/eTEFUKpXadTPDD3/4Q377t3+bb33rWxQVFe38goeQ8VCy8sFHvknJTHVkS0sLNpstr+rI9dhKGmS9FKEkSQSDQTweDxMTE+h0OlwuF8XFxSwsRPnMZ67zd3/Xk5eBqNmsoalJllTZiYQDWV7qjf9Nw+tL/z3n899Nvpon4h/e8X0PCs0GmZDL+McBGC0xYGt5vESPyNLT1bvrg74HkzVJzuVfjIFggMAY+Ecotizz/v+vmo985KfvWyAriqISQNfV1W37vmq1GpfLpcjprPey0Ov1SnXUfsyl0+k03d3dFBau70R78ZBKpejs7MTtdlNWll+QvV5XPyOXk5EYyVynTHXgbpFIJOjs7HwgybjdtrbrdDrKysr46Ec/SlNTE3/2Z3/GK1/5Sn7yJ3+S0tJSHn/8cd7xjndkddwdJNRqNZ2dnaysrPCGN7yB3t5empubD+W9XmrId/7K3D9ut5vKysq8ClH+cFWLT3xxEn2CKNLcPYHtmT6Gnx6iNwcxthHnz7sZGlrelozT6dT0968RXnq9OmdF4cTEKuXlFiorrUxPZxM8W5EY+cLttlJXZyceTxCLxXn6aQ/l5SYqKmyMj8tR1MmTLqJR2Veir28py2w7g1u3FqiqslFUZMopgQmQTu9c2d3UVIjJpOP27QVcLpNSRVtf76SkxEx396LSkXfhgpsbN+aw2w2cOVOGXq/G748pRM/16/NEoynluIzsTTCY4Pr1RTQa2eTc54syPCwTT0NDvk3E6JkzZSwvR5mfj1FdbcZuVzM+Hs5pJJ9BLJZiaMiHxaJVZCb3CrtdT0tLMdevz1Ndbc/qKgwEEjlJUI1G7uQzGjU89dRoXu9jNmtoby9lZGSZ+fnIPY+bgyHkWloK6enxKvI8ggDDw2sZ53e+M/ccnCHj9uKHcBiQJIm+vj6sVquiaJEvVCoVhYWFvPa1r6WxsZH3vOc9PP744zzxxBN84hOf4Cd+4id4xzveQUPD4XhRPFz7DtdDLp/YL0OmJZNJhUzbrhBlI5LJJD09PTidTmpqarKO1+l0WX5qS0tLSoGY0+nE5XLl7embLxKJBF1dXZSVlW1ZuHY/kVFtqKmp2dJfeX0XTyqV4rLvF3Grf3NP72dNhVFJaURBzfLKwRFyJsPu79HOGxWcfdm6B3IQcsthOf7QqbOlNdXrbol837lUl6T34z/Memx1NcnKShKt1kJy3bKXCQ/r6rSbCLmNGBkJMzISxu3WcOOGl2QyvxE9+mgBzz03kefoZbjdJsrLddy4Mc+xY07m5wOEQgmWlvYez27EmTNFm/aBs7NyV8hP/uQRLJat90WZ3M2DRMbNz8/T1ta2q0LT9Z3j3/3ud3nXu96FxWJRPtulS5d44xvfyKte9apDGffDtU/eu4yPj7O8vJylSLJdzlEURQYGBlCpVLS1teW9dnzkI5d4wxu+hlqtZ2wst3LFethsOlpbXbzwwswmckinkzvhbDYdogjBYJybN+c3xUqnT5dx/fra7yydXlP9EARobCyksNDI5OTqpjgKZNnK0lI9paUO3G4Vly/P0NxczNJShFu3Nvs4b0RPjweXy5S1P8/gzJky+vqWaG8vYWBg9zK4Wq2KujonRUVGUimRubkQU1MB7tzJHYMcO2ZVuvA2drctLoZZXFyLYc1mLfX1Tmw2HYFAgpGRzd7lKytxTpwoUuJVh0NPYaEsvxmJJOjrk+ezigoL5eU2QqEEg4OyFHRhoZGjRwtIp2FgwJelTlJSYmZ+Xh6LyaShvb2YxcUQiUSSK1dmFA+6/n4vjzxSwZUr2WRmX98SP3ZtGH7iLGYk5tP5xQfHNfJ9cj11Ma/jt4Mz2k1cVU0sHj80u5XtkFEaSiQSu/bVvnz5Mh/5yEd46qmnttwvPcQ2eEjI7R+HLdu1U1A2PT3N3NzcnqojM9I9iURiR2kQQRCw2WzYbDbFe+DmzTF++Zef5ZlnFnfUZbZYtDQ1FSOKEj09nqzFbju0tZXg8Ub4+bd/Oefzi6KL/xL+e/LxbzsoNOnv+cf5Xq485qrZ/loPfawI1HsLMiNxMTfXFx0HzwhV5XF+7YkG3vOeR/d0/r0iQ36t9z3JF4IgKF4WDQ0NigxMT08Poigq5NxWXim5kEql6OrqorS0FLd7/4bo+0VGFrKqqmrPC5QgCDidTpxOZ9Z16uvrI51OK9KWVqt1x+uUIeNqa2sfiOqVjO78sWPH9qUz/fTTT/PZz36Wp556SmmRHxsb46mnniKZPHxhZofDwSte8Qq+/e1vv6QCsxc7ob1eKqWwsDCvQpS5lMD/Cd7f7YQqnaa5ewLrd/sYenqInhxBVi6Ul1soKTFz9epmL7ONaG0tVnT4AfR6zZYSH3NzIVwuE7W1jizCS63e/fd55Iidykober2G6ekA3d1eqqpsdHev3nuvCHNzEVparFitBgRBTXm5mRdemM1JxmUwNRXAbNbm9I/QaARGR1dyvk6tFjh9uoxAIJ7lhZbxjAM5WB4Z8WMyaVGrBV73ulpWVuJUVMhyjMmkiEYj+59lCCpBIMvYfCNSKVFJlLW2ulCrBe7cWaS5uYje3iVOnSq91zEnoNer8fliLC/nJ4Hj88UIBhN5y3nmgkYjcP68m95eL5cvz2AyaXcM5jNE3OxsiHRazKqM3e415865GRxc5u7dJdRqAZ8vgd+/taTQbnD0qIPh4ZWswq/GxkL6++XP0txcTGvrZglmSZIYHBxErVbT0NDwos9dGTLObDbvmoxbj9nZWd7xjnfwuc99josX5YTAysoK3/nOd/B4PIdGyGXwUl37Dhs7xX7JZJKuri6cTifHj8uy+btRRIlEIvT09GxLNq0fS6ZALNOZmZGOs1qtimrKftQbwuEwPT09NDQ0UFhYuOfzHBSCwSB9fX27KhTTaDScK/w5FgJ/Qqlq+yLTXFAhYU8G8esczCwdXPyi30Ne78YNF4+IWhKqe/vnHITc7D2VAUHM9izbbV2PgITtm9dZ8K6th3q9QCwmZ9MbG1UMDKxl1jM1w6lU/nYYx46pmZ3Nj4w7f76Q554bz/vcJpOajg4nN2/OMTubprHRyczMCsFg8p5s9cF4x50/X8zVq9n3VVWVjbExmRB429uObflaj8fD5OTkA0PGzc/P74mMW49UKsV73/tezp07x2/8xm8gCALJZJLnn3+e6Z3aHw8AL5W1b2PhSaarX6PRcOrUKSXnmMsaIINEIkFPTw/FxcVUVlbuav/14z9+hHPnyneULBQEaG8vYnIylLVP1+lUtLaW4HTqSSZlAur27YVtpRz9/tyy/iAX2K3fO9fVOSkrMzM/H8qKS+rri9FoVNy8Oc+jj1bywgszeXezpdMSR48WbCLkHnmkkuefn6akxMyNG/nlUCsqrLjdsvSkzxdjdNTP4GB+c9LGmKe720NZmYH5+dyxSziczCouVKsFjh4twOUykUyKTEyssLgYobDQiMmkoaOjlJ4eDx5PhJ4eLw0NTqLRFDMzQaqq7PdkTM3MzMgdh8vLUcViQFYWKcJi0TM9HcJm06PXq6iosNDdvcjzz0+j0ahYWYnhdBooKzOj06nQ6dRbxnHBp/owv/YMFRqRoWR+81K9Vo67ryfr8jp+OzSYx0mka+jr6yOVSinKBPnk9w4CY2NjxGIxmpqadvV+165d49d//df55je/SXl5+SGO8D8oDtFDThCEnwD+N3I70F9JkvTJDc//KvA+ZErQC7xHkqTJ7c75wBJyh4ntgrJMdWQikdhTdWQqlaKnpwebzbbrauG+Pi+f+tRV/vVfh7ZdYGw2HY2NRaTTIj093m0r/DfC4dBz/HgRV6/O8tMfDnDJcWvTMaIk8K7wF1iUDk5vPx+c0PUynaxkPJqZgCXS9vSWzW/JbonlZ/berSWYbNmVhmIcbfh5jrj8/N7nm3jd6+5/J1iGbHK73QcyAZtMJqqrq6murlakCDNeKQUFBRQXF29bkZuprt0P+XWQOKxOtPXXKZlMsry8zOTkJKFQCLvdrvg9bgxyEokEd+7cob6+/oFIeGTIuKNHj+K8JxGwF3z3u9/NqVddW1vLL/3SLx3EUHPC6/Wi1WpxOBxEo1G++93v8uEP378u3Zc6FhYWGBsbo62tDbPZnHdX+O+uaIlKh7+xVaXTNHeOYX1mgMGnh+j25kfCgewDcPGim9u3F5ib21kKOfOa9dDpts+KeTwRkknxnv+IHJzluwc4dqyA4mIzqVQatVpFZ+cigUCCmho7NpuO7m65ilWvV3PqVCkeTwSbzcSdOwuUlZkYHfXR0GBheTlFWZmVdFpiairA/AbJznA4yY0b80oQmgmg6+sLNgWUmarY0dGVnPuM9VWcIMtJdnTIFaa1tQ5CoThut5VgMJHlyQBytWVTU/G2HhTr0d3tQadTceFCOcXFJoqLzQwMLOWUCc0H8/Nywm1iYhWVih0lYTbizJkyFhfDWePv6Cjl8uXcSasMETcxsUp3t5e6OgfXru2cYD53rpy5uRDPPz9DZaWJSETE44nti0hcj4YGJwsL4U2JGY1mLZJ561s3JyUzfrJarZb6+voHgozr7+/HaDRSW7u9xNh2WFhY4C1veQv/+3//b4WMAzlR+Na3vvUghpoTD9e+w8d2sV/GnqC2tpbS0tJd2xP4/X4GBwdpamratXpApjMzUwATCATweDyMjY1hNBpxuVwUFRXtKunv8/m4e/cuzc3Nil3Ci4nMeFpaWnYtfW5UG+hU/Sql/Nqe3tueDODXObg7d3BJLa1u9x1yoqjCEizBZ783bwub78VAWo4jxFQ247fbup5LqWUufyt7fTCZIH5PgdnpzPaRyxBy/f1+tFobO9XcabUQDOa3j2ppsXPr1ra5qHWQOH++mPHxZWUtbWoqYHLSv66T/WA6SB95pJzLl6c2Pe50qpmaSlJQoOP8+QJl/7sei4uLTE1N0dbW9kCQcQsLC8zOzu6LjEun0/zCL/wCLS0tChkHoNVqefnLX36Ao83GS33ty+QRSktLqaqqymvdyRRb1NfX77kQ+Ld+6xI///NPb/n8sWMFCALcvi13XWk00NjopKTERiwmMjLi4+bN/PbfHR2l3L69cxdbBqOjfkZHZfWH0lIjbreJcFhiYSFEQ0MBdXVOnntu9wTx+nhBq1Vx+nSZMs/U1TlzxhN2u57aWgdms5ZoNMX4+AozM0FmZnbv9ZarAFGSoKamgPn5/HK56bTE3bu+LG+48nILdrsOm03H5cszWfHB8LAfu11Pe3sJ6bRENJrIKqZcj2RSpK/Py/HjhVRXW7Batfj9al54YVqJkdrbS5idDVJZaSMSSSqe01vh5gsznPX7kUrteRMk1ep54pKZnoR154N3QJWqG6PxbZw6dWpTfs/hcOByuXA6nQeqTJDB2NgY0Wh012TcrVu3+JVf+RW+/vWvU1n54klt/j+NQ/KQEwRBDfwZ8GPADHBDEIRvSJLUv+6wO8BpSZIigiB8APgUsG0A+ZCQW4f9VkdGo1G6u7uprq6mtDR/MuvOnQWeeOIKTz45smV1ic2mo77eTjQaZ2QkuCsSLoNz58oZGfFz9eosar3E7//8N3Ie94fx/8Z3Uj+x6/PvBxqSHNUN8c8rb1Ee00d8qEu2LkPs/Y0i0uIeKx6lKJJmLWjWC15OVt/i93/nOOfPb64Evx/ISLnU1tYeiuxhRoqwrKwMURTx+XxKRa7FYlEkGzM+hhlyp66u7oHq/Drs8Wi1WkpLSyktLVX8HpeWlhgdHcVgMCjVNQCdnZ0PDBmXISsbGhr2Zfr6gx/8gN/5nd/hqaeeuu/f+/z8PO9617uUIoi3vOUtPP744/d1DA8CDlO2KxckSWJsbAy/38+ZM2fQarVZhSjbbVQHEwJfDB2cV+VGqFNpGm/cRfOtTsa+N0736u5LnmprHRgMW1fw5YLFolPkVDLQ6XbeMvn9MVIpkebmYnp7vZvkSDKQPc+Ksdv1zMwE7hmcR7M84draShgb8xMIJHC5TBw7Vkhfn5cXXpjl5EkXd+4sUFtbQG+vTNYtLyc5c6aIzs55IhE5eiotNVNdbUejUbG4GGZ01H/PV26axkY7c3OyP1lhoVF536oqK5WVdjo7F7e8ZoWFRkZG5IDZaNRw6lQpo6N+wuEkR48WMDLip7jYRDyewufLrox1uUw4ncZNXXqZ61JebqW42IjZLGcJw+EkXm+Y+fkwV67M8brX1dLd7aGxUU5g7+Q9sRFFRUaWluQxzc4GaW0toLs7P0OgxsZCVCph09htNh09PZvlabRaFWfOlDExscoLL8xSWGjE7bZsK6cJsgxpLJZS9nq1tRaWluIEAkkEAaanc/vY7QZHjtjx+WI5JTV9Pvm+lb0uJG7cuKF0jpvNZgYGBtDpdA8MGTcwMIBer98XGefxeHjTm97EH/zBH/Cyl71s5xccIB6ufTJeDHUUn8/HwMDAnu0J5ubmmJmZob29fd+SSIIgYLfbsdvtimqK1+vlzp07ijx9cXHxtu+zfjz7kao/KMzPzzM9Pb2v8Zy0/Fc8gU/jUu2+K9iRCIAZOicOrkNOrdnbfRqeKocWeU0Vc3TIeSIyWZlKZF8n9S5yhUeMKW786g83Pe5wGPH75f3TysoKsBYnZDilcDhFU5OGvr7ttZ46OnRI0s56UFVVJqanPSSTO1e8nDhhR5KSXL26lmhvaSlkdHRZ6fyvrLTdk4Hb3zxx8WJZTjIOIJEwADFe97oKpqYmCIfDOJ1OiouLcTqdeDwe5X7OxMsvJhYXF5mZmaGtrW3P40mn0/zSL/0SNTU1fPzjH7+va/pLee0LBoP09PRw9OhRCgsL88o5Li8vMzw8vO9ii1e9qoYjR+z39uhr3VkOh56mpmJeeGEGnU7NmTOlFBQYWV6W45Oent3LpMfje9eOW1iIsrAQxWjUcOGCG78/hsWi49FHKxBF+dzRaIpAII7PF90k57geIyN+6uud+HxRysutSmdYebmF69fn0GgE6uoKKCoykk5LzM+HmJpaVaT594MLF9xbxlOdnR7MZjXh8N4YhCNHHHzrW2NcuuRGp9Nw5042+bm6Gqery8PLX17F+PgKR49m54gaGmTLgUgkydCQj97eJVwuE6FQgkgkRU2NHZfLxPXr89hsOszmAi5fnlEk7rdDKiVi+OEQibeezfvzuNUL3BbfSGKf87xRkChUjRNXyaoWufJ7Xq+Xu3fvYjablTzoQRRZjI+PEw6HaW5u3tV82tXVxS/+4i/yL//yLzt6YD/ENjg8D7mzwIgkSWMAgiB8BfhPgELISZL0/XXHXwV+ZqeTvvg7iS1wv4OySCSiyM7tpTpyZWWFgYEBTpw4gd1uz2scV67M8MQTV/nud3PLONjtek6cKCIWS9HXt8Tt2zvrPOdCSYmZigprFon3/k95OW4Y2XTs9dQZPhL9X3t6n/3gqG4IvSqR5R9nji6y1aZ75XKC+NW9SxLBCghyAtIidfGJX0nzgV94bB/n2x8ikQjd3d0cO3ZsX51N+UKlUmWZOQeDQbxeL5OTk2i1Wux2O4uLizQ2Nt6X8eyEjKfV0aNH90U27Rbr/R4BJTnS1dVFKBSipKQEnU6Xs4LyfmJ9p95+rs/ly5f56Ec/ypNPPvmidES2trZy586d+/6+LyUIgoAoigrJlk6n6e3tRavV0tHRgSAIu+oK/6hPQ/qApY01yRTNt8cwPdPHwLeH6fVtLXWyHXQ6NWfPlnHt2lxeCaH1aGkpVoK1tfPllxULBhOMjflpby8hmVzba8jkRjEmk5ahIR+hUAK7Xc/qapzJyWyC5dKlCq5cmeHo0UJOnNBz69aCUhHqcOjx+aLU1xdmkYbJpMgLL3hobXWRSKQYHPSxsBDOqvq0WnWUl+uxWg3EYhJFRQJFRUYSiTQtLcXo9Wpu315kamr76s+6OifRaJIzZ2Rfnmg0RTCYZH5+LXDNdNBVVdmorLRx+/YCbreVUCiBzxehpaUYq1VHJBImlRIIhWTpm9nZILOzud+/stKKKEosL0e5fHkGjUbF2bPlhMOJLDJzO5SWmhVCTh77zkGw223dtI9aj9ZWV1awrdWqOHu2jPHxVUWW0u22olYLDA1tTf41NDgxm7V0dq59r8eOWZmaiijj7OgozcszY6fPE4mkWF7e/NtqaHAqnn2vfvURfvzHLyod9hmPE6PRSH19/Yu+9q3v1NvJb3c7LC0t8eY3v5nf+73f49WvfvUBj3JnPFz7Dh+5Yr+ZmRlmZmY4deoUBoNh1/YEo6OjhMNhTp06tS95yVwQBAGLxYLFYuHIkSPEYjE8Hg99fX2IokhRUREul0vpOMsU1gSDwUMZz24hSRITExOsrKzsezwmtZErql/hVezeS86eDCCIOobmD65wTtpjMf1wt5uqFvnforA5W7Sa0KOWNCQTe+uQ0wgSuq9eJx7afG6zeW3QS0vZ+6F4fG2PoNFEgO39ZCORIHb79sc4nTokKcLKSnzb40pKDNTUGLl+fS6rKLm1tYi7d71Z3dvV1Q6mp3dXgLMRZ86UcO1a7sR4SYmZgQE/IPCe97TT2lqmSMp6vV76+/tJp9PU19cj7rat/hCQ6dTbDzkoiiIf+tCHKCoq4nd/93fv+3r+Ulz7BEFgcXGRkZERWltbMZvNeRWBzMzMMD8/T0dHBzrd9r+/fPCRj1ziox/9AT5fDJVK4Pz5ckZH/SSTaV71qhrm5kLcurW4ZWFhPmhpKaanZ2/5S5DjnebmYvr6lnj22Z07bU0mDU6n8R5xpEWnU6NWq5AkiWQyTVGRiXA4QTSa5tKlCgRBfk0kkuLmzXmGhpYZGtrzcHOio6M0ZwFiBtFoas+qF48+WqnEhkNDPs6dk0nLZDJNLJYiEkkSi8mk2vj4Kq2tLjQaFZcuuUkmJUZGfAwP+5U9fwZ1dU4lBp6YWCUeT/NTP1VPPJ4iHhe5cMF9L1cukU5LpNMiyaRIIpEmkUgTj6eJRlNEo0lu/ell6t5wCrbUPMuGSzXP95Kv3fW12IhytVxsKApHNz23Pr8nSRKhUEgpfpJlPWWLH5PJtOm1O2FiYoJgMLhrMq6vr4+f//mf56tf/Sr19fW7ft+NeM973sOTTz6Jy+Wit7d30/M/+MEP+E//6T8pEv//+T//Zz7+8Y/v+33/H0eRIAg31/3/85IkfX7d/93A+vbcGeDcNud7L7B1K/I9PLCE3GFiY1CWqY5sbm7GbrfvujpyYWGByclJ2traMBqN2x4L8OyzE3zqU1dztls7nQYaGwuJRlP09no3JQR3A0GAixcr6O5ezEremIsk/scbvrbp+IBk5e3hfyDF/ZdfaNL3APCcb42QK9RvnRCceaKKcGwfhIE6Cekwr2rv4Ut/fRyrdf8bm70iEAjQ19dHc3MzVuv+27N3i/U+hnV1dfh8Pnp6ejAYDNy9e/e+6y1vRDQapaura1e+E4cFs9mMRqNhYWGB5uZm0um0UgXjcDiUCsr7mQjJdMbtt1Pv6tWrD/WqXwLIrH8qlUrpOi0rK6OqqmrXhSjPrsR5Orb7zWouaJIpWm6NYvhuHwPfGabTn58X2FaQi1mSu+qKW49odHNCS7MLI5dIJMXAwBLt7TZOnizEaNQzMLBMX98SHR2llJdb6OnxMjGxuuk9zp8vJ5kUOX58zcdrPY4fLyQWS2+Sgcygu9uDzabjla+s5gc/mMoKpoPBBENDCUBeX7VaFY8+WolOpyYQiCMIsrSnDAH5FpBfL0nyH0GQcDqNFBRUEg6nkCQJvV5NW5tr3XESoogSsMViSV7+8iqi0TQ3bszd63rbPdFaXW1nfU49lRIV79yjRwsoLDRy69Y8icTWyTKrNbv7YHh4lcbGwpz+b1arlpMnS7hxY35LktDpNNDVJX8XmY648fFVnn9+bf9WX+9kdTW25WfOEH4bk5JNTXbu3g1mEcrp9P4SgS6XCUHYLDmaQUmJWQnO3/lO2cdFp9NRWlrK8vIylZWVOJ1OlpaWGB4exmQyKZWlB5EkyhcZDzuNRrOvTj2/38+b3/xmPvaxj/Ha1+4/CfAQDybWx36SJDE0NEQsFuPMmTPKc/mufZlCFpPJRGtr633ZGxsMBqqqqqiqqiKRSCi/v1gsRmFhIcFgEJPJxMmTJ1/0rtWM/YMkSZw8efJA5KBaLO/FG/gMxardJXfN6ShS2Ix0QFKHsHclpOefq6D6HSAJkEznJqo0kpFIPHuNyvfynQ8tcPm7uaXcDIa1k3g8ccrLBebm5MXGbl+TEV1YiLEdIVdbq6WnZ5ZLl7aOE3Q6FW63it7erTu59XoVZ84Ucvv2PNeuZSeD29qKGRz0ZJFxRqOG3t79ecedPFlEd/fClrYg9fUFLC4uceSIjXPn5GKjjKRsIpEgGAzS0NCA3++nq6sLQImRd+PNfhDweDyKbOZ+yLhf//Vfx2g08qlPfepQZNseYjPGx8fxeDycPn1aUSTZLucoSRJ3794lkUjQ0dFxYDmGV7yimsbGIhKJNBUVNuLxFFqtmuvXd+/XuRXUu2nvXQeXy0hDQyF37myt1JELkUiKSCTI7Ky8Hz961InTaSQcTjIy4icYnOfSpYp7UvUSQ0M+RcWjvb0Eq1VPX58nbz/qnXDiRBGDg0s7dpPtVj5fpYL29mIll5xRQfve98axWHQcPVrAwkKMyko7w8M+nntOvoYrKzFaW4u5cWOBo0cLOHGiiNXVOIODy0qcUV/v5OrVWVwuEw0NBahUAiaTlm9/e4zWVteOBYEGg5ojRxzU1NhJpSRMJjWRL38f3dt+PK+uN6dqkWvJU/ldiG3gVsuyypJqe99nQRCwWq1YrVZqa2uJxWIsLS0xNDREPB5X1EHsdvuOc/zk5CSrq6u0tLTsaj4dHBzkve99L//wD//AsWNbe5fuBu9+97v54Ac/yM/+7M9uecyjjz7Kk08+eSDv90Bh7x1yS5IknT6IIQiC8DPAaWBHyZWXPCG33+rIsbExAoEAp06d2nFD9PTTo3zqU1c2LXQFBQaOHy8kEknS27ukVFPvB6Wlesxmbc5qi1/7swlKNZvlkn4h/OeMifs30NwLmvS9TCRqmI5Vrz2YyF1F7v9hksjV/Wnqukqi/M5HBmk8mmRgoFPZUFsslvu6ofb7/QwNDXHy5Mk9VWEcNAKBAENDQ5w6dQqLxZJTbznjp3Y/Nu4ZnfTGxsa8O08PE5lOvfWdjBkJ0Ezr+8jICEajUbmnDjNBmfEcrK2t3RcZd+vWLT70oQ891Kt+QHCYkpWZ9S8Wi9Hd3c3x48cV75rdFKIsLy/zm8vWnQqpt4U2kaLl5gj6Z/ro/84wd3aopM4HRqOKhgYrPT1L2xqMb4eiIiPd3YsYjRqcTgM2m7yeFhcbKCuzoNWq7kl5CveqA+WqwGg0RTicZHU1jstlwmBIIYqyrr8kSTQ1FREMJkilRCwWHY88UgFAKiURj6eIxZJUVtrp7vZs6Y128aKbWCy1JRmXQSCQ4NlnJ7lwwc3wsC+rIywDjQZaWpz84AdTXLjg3nHvoVYLnDtXzuJihFu3FnOSlrlQXW3DZtPz9NNjvOpV1ex1idVqVQwMLHPiRG4p3YynQmGhkcbGQoaHfTnlLDU55MYsFt2mY06dcjEw4NsxGdDUVMS1a3NculTB2NjKpuvY3FzM1NRqTmnIggIDjY1FOQm/1lYHvb2rWYTqkSP2rO653aKgwIDFomNsbGXLYzIeiw6Hnp/8SXlPKEmSQkDU1cmPZeaN9Z3jcH8SlBlCRaVS0dDQsOf3WV1d5c1vfjO//uu/zutf//oDHuVD7Bb3Qx0llUrR1dWF3W7n5MmTALsi4zJrZ0VFxYtWvKTT6SgvL6e8vJxYLKZUdWdiCpfLta0/9GEinU7T09OD3W6npqbmwL5Ti9rMFeH/x6v46K5eJwBC5GD3U4k9nm5p2YAtUcCq3kc6h2QlgDptJBbf2CG38xseMyW48muXt3xeq82+Fyoq1gi5ZHJtf7C4mKKiQsPMTO7xlZWlGBuDWGzrzHF7u2XLLjSAc+eKmJ7255SNbG8vpq9vcVNRTVtbKVeu7L0zvLHRycjIMvH41nRqOCy/50bf1Lm5Oebn55VONIfDwZEjRxRifDfe7AcBr9fLxMQE7e3te5ZXE0WRj33sY4iiyGc/+9mHZNx9hNVqpbKyEkEQSKVS21oDpFIpenp6sNlsHD169MDXyN/8zQs88cRVvvKV/i2J6r3iyBHLjrHKRpSV6amsdHLnjmfXHWNGo4aGhgJsNh2BQILhYR99fZtJ/Oefn+HIEQdqtcDKSowTJ4ooLDQwOxvizp1FCgoMvOIVVUrhY76xzkYcOWJnbi6oSO5uh9nZIKdPl3Lz5s5znF6vpqmpkFu3PDgcWsrKDFy7NkdZmZnl5dQ9UjLJxYsVBAJxysstaDQqTCYNBoMGi0VLR0cJ6nut1w6HnosXKzAY1KTTEjqdgMGgYXJyBUGQGzy+850xAG7dWuDixbV4Ua9XU1vroKDAgCjKXuqTk6sMDCwjCHDhQjnPPjvFhWiSxuXvMPLB1xDewXPeyjw3k/vPRZWr/YhCOQi7k3Y1GAxUVFRQUVFBOp1meXmZ2dlZBgYGsNvtSh50IzE+NTXFysrKrsm44eFh3v3ud/P3f//3NDU17Wqs2+Gxxx5jYmLiwM73/xQk8vYs3CVmgfU3Z8W9x7IgCMKrgd8CXiZJ0o7JrQeWkDvMoCyT7BwcHNxXdWR/fz86nY62trYtj5ckiX/7t7t86lNXs6SlCgrkhFEoJMssHQQJB3LC7MIFN9evz7GwsPn7Lzkm8t8ube6O+5v4u/mH5DsOZAx7QZO+h+eCL896rKg092bf/9l6guG9+bwVF8zxy/9fgg/9/yqVpGAymWRpaUnpdCooKMDlcmG32w91g+rxeBgfH39gfB5WVlYYHBzMIge30lteXxVfXFx8KKbWoVCInp6eF61zcCNykXEZbGx9D4fDLC0tZSUoi4qKDpTwTSaT3LlzhyNHjuzL6+2hXvVLC2q1Go/Ho3hOmM3mXZNxMzMzfHU5Qa999xtmXSJJ641hNP/eT/93R7i9un8SLoO2NheLixG6u1d3PngdTCYNtbUO7HYD6bRMlnV1eVhdjVFRYSWVEunsXOTs2XLSaYmxsZWcht4lJSaOHi0kFkuysLCKx5NNwFy65M4p3VJQYOTEiSJGRvzodBqqquzU1Ni5e9eX5e1QVWUjkUhz+3b+Ae6VK7OUlZk5etTC3bsh5fGGBieiKHH7thys9vcvIghsSWKeOVOG1xvhhRdmeeSRSsU/bjtoNALnz1dw8+acIskZCCTuEVi7r8Dt6Cjl7l3ftgk1YIOcZRnhcDJLzjKXfOmtW/O4XEY8niinT5fh8YS5dm3n61xUZESlEigqMuVMHpw+XUpPj3fTmE0mDR0dZXR1LeZ8XVubg87OlU2Pl5dbGB/f3f2dgc2mo6jIlGUGvxFVVTaFrHvjG4+j12sQRZG+vj7MZvMmj7aNsnobE5TrvXcOaj+VqRYH9pWgCgaDvOUtb+GXf/mXeeMb33ggY3uIBxcajYZQKMSNGzc4cuTInuwJMooWx48ffyDk3DNy9/X19RQXFyvyehl/aKvVisvlorCw8L4oNyQSCbq6unC73YdCVrZY389y4I8oVO2uUyqQ3J+330bE0nvfx4fHbNDo2zIDI6RNRGPZ41Wte7tct6hBLZH8myukt+kM3zj9arVJMhJigpC9PlVXa3MScnq9qPifZvzoNuLRRwt47rmJnM81NNjQ60WuXcvdxXfqlIvu7oWca/T6vdBuUVtrZ34+SDi8dYbObtfT2yvva9761jWJswwZ19bWtuk3tJ4Yz3izezwehoaGDtyTKAOv16vkDvZ6XkmS+J3f+R1WVlb4q7/6q4dk3H1GUVERyWSSdDq97boTjUbp7u6murqa0tLSQxlLXV0Bn//86/j4xx/hL/7iDn/7t937+q2th8NhBEI7HgdQX29HqxUZGgoxP58f8W6z6aivL8Bk0uDzRRke9m/y/t4K4+MrGAxqLlxwZ+3B3W4rNTV2/P4YfX1LHDtWiNttYXExTHe3J+8OttJSM7FYekfJ3vXYTtkjA5tNR1WVndu3PZw/72ZgYImBATketdvVzM/Lc31dnYNIJMnVq7KCSFNTEWazllu3FrBYdFy9OofNpqO21onFoiUQiNPZuUIwGKejoxSLRYPVqiedlu7FUwJut5XCQiNGo5af+IlaJiZWGBlZyakuYrFoaWhw8sIL8vuLokDX569xIhBj9iOvZ3Ub3eeopGcktf+8aIVqESmHXOVukPHudblcSJKk5EFHR0cxGAxKHnRhYQGfz0dra+uu5tOJiQl+9md/lr/5m79RCsTuJ65cucLJkycpLy/n05/+9IESgi869iplsD1uAA2CIBxBJuLeBmQRKIIgtAN/AfyEJEl5TUgPLCF3mEilUkSjUdRq9Z6qI+PxON3d3ZSVlVFRUZHzmHRa5J/+aYA//MNrykRVVGTk2LFCgsEEfX3ePWkFb4faWisqlWbbau5PfLYXiyq78n4wfYwPRj57oGPZLZr0vXzV87asx9K6KJAtAZq4Bt7v756MKy+Z4t0/M8dv/HrTpg21VqulrKyMsrIy0uk0fr+f+fl5BgcHsdlsFBcXH3gwOzc3x9zcHB0dHYdCZu0Wy8vLjIyM0NbWtqVZfC7Syev10tnZiSAI+9Jb3ohgMEhvby8tLS37Mi0+KGTIuHxkM9cnKGtqapQEZYbwPYgEZaYzrqamhuLi4j2dA6C3t/dA9aof4sGGJElEIhGi0ShnzpxBq9UqXeHbVWiuf/3du3eJJhJ8sfB03nIA+kSSlut3UX+nn/5nRriZo1NoP7DZNDQ2FudF8uh0AjU1doqLzaTTsmzf5OQqvb0yYfPYY5V4vRFOnnTdS3zJso0vf3kVJpMWrzeK1arj0Ucr6evzEgolaGsrIZmUE1WLi3Ki6fz5MjyetfEcO1awqfCmuFjeE9y+vcDly/LrUimRri45gFGpBJqainA6DczNBSgvt3HjxjxqtbCrStb5+TCLiwKPPVbJtWuznDnj5tq12aykl9+fpLm5SLkOGTQ3F5FOS4r/gU6nZmhoZ6+248cLSaVE5XNlMDCwRDSa4vRpFzdv7q7TKxJJUlpqzrt7VJazlMe9Xs5ydR0JLAjy/SMXSRWTSkkEgwmqqmxUVdmQJFnWJpUSSSbXfBFCoTiRSJLaWj0/+lHu5OLFi26uXp3NCuAzXYbDw/5N1yaDrcg4u12/KzJ2PYxGDZWVth199qqqbExNyeTpO9/ZhCiK9Pb2YrVaFZ+B7bAxQZnx3smYpmeKU/baOS5JEsPDw4iiyPHjx/dMxoXDYd72trfx/ve/n7e97W07v+Ah/p9HNBpVFFH2Yk/g8XgYGxt7YBQtMt7lTU1N2Gw2YE1eL9O9GggElHEbjcZDLaLLKFo0NDTsS7FhO1jUFq4Iv8yr+B+7e524InNPB5Sg2YbX2RGLI9UUNk6Q2mIwYtpEKJodh62/NXMtf6cWpnn+he2T2Btv76WlMCDfN2ZzdqwdDudOyHd06LlyRR73/Pzm7vPz5wt57rnxTY8XFuo5dsxybz3MvX6fPl1CZ+ccqdTm52VJ6ZWcr9sJbreZcDjGysr2JENjYzFXry7T3l7M0aMy2T47O8vi4mJOMm4jNnqzb/QkWt85vldkYsm2trZ9kXGf/OQnmZ2d5Qtf+MKL7jX5UsQ3vvENzp49S0FBwZbrzurqKv39/Zw4ceK+KARVVNj4nd95Gb/5mxf5ylf6+dznbjMwkJ8vcy7U1jq4c2dneeGTJ13E4wkGB1d2PLagwEhdnR2dToPHE2Z0dIXbt/feNRuLpXn++RnOnCnj7l0fq6vxLA9ri0WH0aghEEiwvBzlkUcq0evVTEysbvJcWw+7XY/JpN1WiSIXurs91Nc7tyx4dLlMWK06vN4wHR2lXL2aHVMWFdmAAKdPu7h+3UNLi015LrP37+govdcR5yYel2Oa+fkQ4XCSdFq2H9Bo1ASDcc6cKSUWE3nkkUrGxvxMTgYoKJA9x7/3vQlKSsxcuOCmr29Jkf0EmdTU6VTcubMW42Uk8vu/0kXdShTdp96CV9o89wiI3Eq9HOkAvOndqhlE1f4IufUQBAGn06kUY2XyoNevXyeZTFJdXU0kEslbHWR6epq3v/3tfP7zn+fUqf1LdO4WHR0dTE5OYrFY+Na3vsVP//RPMzw8fN/HcSjYu2Tl9qeVpJQgCB8EvoO8q/y/kiT1CYLwP4GbkiR9A/gDwAJ89d59MCVJ0rYSLA80IXcYsl2RSISuri60Wi0NDQ1KdWTGU2enH1AwGKSvr2/LgCORSPOlL/Xymc9cZ2xshaIiI5cuyS3DfX1LB07CgazDfvJkETdv5q7csNl01NQ4qH8kwXtPfCPruZik523hrxBh7xvE/cKp8uHWzvKcP1ti1Vy9eaLu+y03oUi+hFyapmMLvP+/znHpokBjY8uO369arc7aUK+uruL1ehkbG8uqhNiPDOHk5CQ+n4/29vYHYiPs8XgU6Yt8P9fGqvh4PI7X692T3vJGrK6uMjAw8MAkPfbrYbddgnIv3jupVIrOzk6qq6txufbWKQowMDDA+973vgPVq36Ig8FhdIhnulxEUaSxsRGNRrOrQpT1simdZScY9G0/dxniCVqu3UX1nX76vjfKzeDBknAZtLY6mJ6O5STjNBqBujonhYVyssnjiTAxscLduyvMzgYoKjLidBq5cMGN0agGBKamVllaitLd7dmU+Dp7tkwheNRqH6dOlWIwaPB4IgwOZlcI3ry5iNttZXY2iCDIREzmfKWlZurqnNy6Nb+pgKavb4lz52Rj9ZoaOwaDhtXVOCUl1k3HCoLsOadWC6jVKjQaFSqVgFotYDZrsdu1qNVpnE4bBoO83WtvL8VoVNPWVsLY2ArLy2tBlNm8NgfV1TkwGIRNBF1HR4lScZkLJpOG9vZSrlzJnXgLhZI0NRVy9+6Kcn3yQU2NnZ4eL+fPl+9JVifTFfbIIxUYjWqSSRG/P4bfH2V1NcXqapDycjsrK7EdSasMLl1y3/OFWNn03COPVGz6vs6cKcPjiWypiKBSyZ5xucg4gJaW4j15Iup0Ko4dK8xLOigjbdrQ4OTMmTJ6e3ux2Wx76p7eSA6EQiGlc1wQBCVBaTKZ8przJEliZGSEVCpFY2PjnufJaDTK2972Nn7mZ35mW2+Fh7j/OCx1lJmZGebm5igpKVHIuN3YE2T27adOnXogiugWFxeVfftWRXSCIGC327Hb7TQ0NGQRBJmq7+Li4i1fvxtkyMH7oWjRZP05/IE/xqnauUs7g3b1HTgB9BzMGILxvd+nvXdqedlP/RBRENGq0iTF7L1UMmkiHNkoWbn1+VqMMZ7/vSs7vu/G/czISBCDwUIsptrUPdff78dsLlAkHDPw+eTubLtdx+qGRu36eh03b05mPabVCpw7V0RX1wIvvLCy5djOni3h1q25Ldd2u90I7L4zvKjIgEolbemXuh7pe12PGbnKmZkZPB4PJ0+e3HWsvtGTKB6PZ3k+ZgozdyNtuby8zOjo6K5i9Y2QJInPfOYz3L17ly996UsPRA7ipQZJkujr6+OTn/wkBQUFvP71r+fxxx/PKq6dmppSujKNRuM2Zzt4mExa3vOek7znPSf5/vcn+dznbvHtb49tSaRvheJi05aElCBAS0sBKytRpeM2F0pLzVRX29FoBGZnQ0xMrGYRPweFGzfmKSuzUFlpzYp5QqGEUoyoUgnYbHqcTiMulzyuZFLk7l0f8/NrXYAGg5qKCmveccRGFBebchJyNTV2Eok0JSVmvN5ITiIynf7/s/fm4W3dZdr/R/u+WLYk706c2InteEvi7KELlKXQJrSllHYoUCj7UOYHwwzwDm9hhuFlBhiGgcKwQ1lKm7SULrSFQmnTZk+8xUscO7bjVZJlW/t+fn+oUiyvkpfEaXNfV67Wks7R0dHReb7Pcz/PfQvs3l2YrDVrNFog3mCXkyMnP19NY+Mo69YZZyUUCwp0qNVSxGK4cMFFLCYwPOxJTvmVlhpRKCScPj3Chg0mjMZ4nCovz0KrtdLbO4FSKWVoyMPgYGoDRH//JCqVFL8/QvczZylyPUjB9/+OwWlUxDqJk+PRN2R+4mZBobhnQf+4pUCj0TA+Po5Go6GiogKn00l3dzd+vz8pXzyX2trQ0BB33HEH3/ve99i+ffuKHeN8SDRyAdx44418/OMfx+FwLEl1a9VghQg5AEEQngaenvbYl6b8/5sy3eeqJuSWG+Pj47S1tVFVVUVbW1tKd2Q6ZFxiRLW6unpGh1MgEOFnP2vm298+RigUpbzchFoto61tZUi4BNav1+DzwbFj8YCm0UhZuzYLo1FBOBzD7Q4RiwkolRI++JGnkIlSr85/9P8nTdG6FTu+dFClaOFccD3DgYLkY8rQBOLs1KR38s9RnIfMLOTLLRZH2FI7zNf+VY5a1Y9Wq6W0tDTjRF8kEmE0GjEajZSVlaX4pCxmIixRTAoGg8tmcr5UJCb1liJ9AaBQKObUW85kynCqbOalXoTOhgQZt1wedtMLlJl67yTIuOLi4iWRcV1dXXzgAx9Ydr3qq1idCIVCNDY2YrVakclkSYmudMm4qbIpBksuXx2c/V6hCoSoPtIJz8VJuOOelRHwBsjJUWC1qmlujicVYjGUlmZhNqsRicDtDhEMRtFo5K9+RsjKUiIWZzE66mVyMojX632VyIpw6pQbvz9KVVX2nHItNtvFjvBoVEAsFiWnowoK1FgsSkZHQwwNeYhEYpSU6BkcdLNjRwGHDw8mpVCOHx9mZCS+LlAqJRQXGzCZVEilole7FGOUlZk4fDhO3ExNsBKQy8Xk5WkxmVSo1VJEIhGhUAyXK4jN5qWvz4XZLGfTJiuBQJTDh4eSPghSqZgdO/LxeEKUlBgoKNASjQrYbF7WrcvCbFZx9OjQrJ34g4Nzyx3W11sZHfUuuObJylJx5swYRUV6hofdaUnAFBbq6O2dRCoVJwvpmaCwUIfFoqG52UZhoX7WhFckEjE+Hkj6T8yH0lIjJ0+OYLGkrgVFIqivz04hzqZPGc4GuVzMunUaWlpmLzpKJKKMu20T29XWWud97wRyczVJYvmOOyppaWnBaDRSUlKywJYLY2qBMtHE43A4OHfuHH6/f8ECpSAIdHd3Ew6Hl0TGBQIB7rrrLm677TbuueeepX6sq1jlSEx1+3w+KioqsNvtGTWixGIx2tvbEYlE1NXVXfZ1uyAI9Pb2Mj4+npZ3+VRMbaILBALYbDbOnDlDNBrFbDZjsVgWNb0zVX5/Oci9haCX6Dks+iRv5F/T3qZAPETe5kGGuwtg5mBXxpgIACIBFvDCmQ3NLTm8NabELw6gkUeYCKTmRaGwGrdv7gm5qdBKBZz/81K8+LQApstARqNQWSmlpSWGaJpHXSgUo6ZGwYkTF4vfGzbI6OyMx02LRcXk5MUYWVKiwW4fe7VBJY5NmzRMTARm9Ymbiu3brZw4MTcZl5WlTJm0SBd6vRyjUZaWvLZKJaW1dRyJRMS73lXGwMAAdrt9UWTcbFAoFBQUFFBQUEA0GsXpdCZlZbVabTJHnisPdzqdnDt3bslk3He/+11OnTrFww8/nNG94yqWDyKRiC996Uv8y7/8C11dXRw4cIA77rgDlUrFTTfdxJkzZwgEAjzwwAOX/Tu67roSrruuhJ6ecb7//dM8+GAL7jSaKwsLdZw4MXPNKZOJaWjIY2DATXPzzFzCalWQn69FJpMzNORhYMA9p5/2cmN42IPN5mXv3ngz3fT8JxYTUki2wkIda9caqK21UFmZg98fpr3dQWlpFidPLn5q7/TpEUwmZUoeWlGRTTQqYDQq57U4UqtlvPDCxaaIaFR4VZ3NxPHjIzgcEwA4nTPPaX29lUAgglQq5pVXBpHLJXR0jLF1a14yfygu1iMSxRsrOzsvfn8iEdTVWVmzxoDd7iUrS4Jz2tcbi0FJiSGZY1x4pQ/LnT+m9Nf30CO6eE+rkA9xPFyd/gmbBwXiDmKilZOjHxwcTGnaSDTfJ+7xCbU1nU6XVMaSy+WMjIxw++23861vfYs9e/as2PEthJGREaxWKyKRiGPHjhGLxVZM3eCSY+U85FYEr5toPDg4SH9/P1u2bEkmDJl0R164cAG73c7mzZtTFkMeT4gf/aiRhx5qw2BQYDAoaGtzpBTuVgLxqTcloZCU8nIt1dUWolHhVTmlMCMjXkZHvcnAufvvAtxo/lPKPh4P3cx3g3+/oseZDioVrbzkSZ2OU7pGYNq48sB/rANxAXNBKg2ya9sw3/mmnjVr9DQ1NZGdnTunrGim0Gg0aDQa1qxZkzIRFgqFkhNher1+1gRfEATa29sRi8VUVVWtqEdiukhc08s9qTddb3m2KcOcnJwZvnlOp5OzZ8/OK5t5KbHcZNx0LOS9YzKZyMnJSUpbJsi4wsJCrFbrot+3t7eX9773vfz85z+/LHrVV3Fp4Xa7aW5upry8HLPZTFdXF5FIJO2CZEI2paKiAqPRyDcmpAxFL8ZMtT9I9eFOhOfaaH2+h2O+lV0BicUiNm3S4fOBwaDmzW82IhLFm2ICgSiTk3FCKjHpMxfq662YzWpOnBimp+filJZEMjvZo1RK6O+/SJYUFelSSI7BQR+Dg75XOz/N6HRy2tvHWL/eiNsdZPfuQmw2L+FwlG3b8ggEIthsPgYG3LN6elmtarZsySUnR4XbHWLPniIikShudwi73Yfd7qOvz5X0ZksgL0/D+vVaRCINw8Nh/vrXmbKIcSnJAUpKDOj18pQEb8+eojmlFGtqLLP6MxiNcjZsyOHo0bkn56Yi0U165oxj1kmy6VAoJEnvvXA4NqfP3WyQy8Vs21bAyZPDDAy42bDBRFubg8pKHW1t06fzBIaGPGzbls+xY3N/FqVS8up/pUl5R4gXGzZvzk2eh9JSA2q1eMaU4XRoNFLy8xVJH4jZsHlzblqk2nQ0NOTNO9E4FevWZTEy4n01uRYtGxk3G6YXKKf6Xs3mvdPT00MwGKSysnLR66dQKMTdd9/N2972Nj760Y+uinXYVawcIpEIzc3N6HQ66urqcLlchMPhtGNfKBSipaUFs9lMUVHRZb9eYrEYHR0dAEsmB5VKJcXFxRQXFyfXnonpnezsbCwWy5z5zFT09/cnc+NLOTlYof0oE57vYBSlPzXVoDjBH7YUwEtLf/+oIEKjiOANLK6MohrPw599Ho00wgSpuZA/pGbCO7eH3FTUdPfwSsvcTTJTMZs/kdGYeGzmc3J5qqSmyXRxbWcwKIB4fSErS44geJMEXWmpFp1ONO/kSwI7duRy7NjAvE05VVVmDh3KLPapVBKKitRpT6lUVZk5cWKC668vIhx24nA4qKmpWZEJMolEkmzoFQQBt9uN3W6nv78/qdIztdnX6XTS1dVFXV3dksi4H/3oRxw6dIgDBw6siinf1ztEIhHl5eV84Qtf4POf/zwdHR3ceeedBINBcnJy+N///V/2799Pfn7+ZY89paVZ/Od/Xs+XvrSHBx9s4Qc/OEV398Scry8u1qf4bGu1MurqrHR1jafkG8XFWoqKjITDMfr6Jhkd9TI6uny+4pkiGhV46aUBamosjI56GB2du5Y7MOBOfkadTk5VVQ719bn4fCEaGnJRKOKxwe0OMjLiYmwsNKsc73QEAlEaGvJ56aV4HlZfb0GvV3Ly5AgeTyoZmvCTMxrjXm+CEGPbtnwkEhFSqRitVvaqRVIqiefzpd5w6+oMSKUxenomkn7Xubka+vtdHD8+/KospZ1AIJKSc8al/Q10dTlpakpM3k0AUFmZg1IpTZnkM5lS45rtzCjhd/6AjQc/TIfk1Wk76TAPBisXPE/poEjUjCD+/LLsazqGhoYYHR2dtWlj+j3e5XJht9v5+Mc/jtPpxOVy8S//8i9cd911K3JsCbznPe/hhRdewOFwUFhYyJe//GXC4Xgc/+hHP8qBAwf4/ve/j1QqRaVS8dBDD132e82yQWClPORWBKIFJCGXVy8yQyQSp6VgandkdXV1Uqarq6sLp9NJTk4OFosFrVY760UYi8Xo7OxMynwlEqDJySC/+EUzf/1rHwMDbtrbHWkXiRJyUiqVFKVSilwuQaGQIJNJkEpFSCQSJJJ4R39CtlMQ4tup1VKCwSBer5+BgTBDQ+mZpb7c/gS7DCeTfw/ECqh1NeEULj8T/h3rx/jb2HUcHLk9+Vje6MtUvmsi+bfjqQhNt2wFyUxCTiH38aZrR/jOt0zk5soJBAI0NTWxdu3aJU0RpYtIJMLY2Bh2ux23243RaMRisSSJlFgsRktLS7IzfDXc7M6fP4/L5aK6uvqSdvwmJsIcDgeCICQTD7/fT09PD3V1dTOIussBn89Hc3MzlZWVKSPdlwoJc3CHw8H4+DhqtRqv10tRURFFRUWL3u+FCxd497vfzQ9/+EO2bdu2jEd8xSCTH99li3/RaHRRU0DTYbPZOHfuHDU1NWi1WgRBwGazcfbs2eR9ymQyzXkPGBkZoa+vj5qaGlQqFc4oVA+qCHtCbDrcQezZNlr/0pOcvFoIIlFc0lClkqFUSlAqZcjlEmQyMTKZGIlE/GrsEyEWJyQeBUCERiNFJIoxOjpOOCyjvd2ZsXShRCKioSEPnU7OmTOOWeOnxaLGbvfNiOdlZRcTDYCdOwuSE2xzITtbyZ49hQSDUTo7nZw/n37xcNeuAl55ZRCzWYXdPj+5mJurYf36LJRKKcPD43R0uNI+NyJR/LO0ttqTU2Hbt+fPSq5t2ZI7o/Nz61YLXV3jTE5mRsTm5moYGfEikYjYuDF73sLZjh0FSa+EjRuzUamknD69sPxiXZ2F8fEgfX0Xz/uWLRZOnrRhtapxuUIp1+7U73S+7zfx3WzenJtMNtVqGRs2mDh9epS8PC0lJQaOHRtaUObHaFRgMEjo65u/iau62pwkJdPFbJOV87+HhZYWG5s3Z/HrX7+Z4uLijN5vOTDVe8fhcCTVKxKez4tdP4XDYd7//veza9cuPvvZz66KddglxhUR+wRBIBRauryx3+9PSnvn5+cjCALBYJBTp04hl8uxWq3zSoUn/NDWrVu3JJ/e5UI4HKalpQWTyURJScmKXb8JhQubzYbb7Z7T8zjh5RgMBqmqqrosk4OHJ/6NN4q+lvbrv+r/Av8n8FV4Csh84GoGCnxRBm2LI2zu++dXiG15mWefuZezTmPKc5/d8QLP/amS5r6L+euOwihHBuLvlV0kMBYWsUXp4+RHnkj7PcvLlZw9m7rm2bIlm5MnlezeHZgRK6xWJaOjcVJIrxcTiQzj88Xj5Z49eRw6NIFCIaasTEZrqx2jUUZVlYGjRwdTJuXmwo4dVo4dG5yXjBOLReTl6RkcTH9KRiYTs2lTVlprhAR27izm8GE7X/taHXv3ai6bik0gEMDhcGC32wkGg6jValwuF1u3bl10o6ogCPz85z/niSee4Pe///2qaHi9xFj1sc/hcHDLLbdw11138eEPf5jBwUEOHjzIo48+Sjgc5qabbmLfvn0reu/PBLGYwLPP9vC9753kr39Nlam1WjWMj/sJhWKYTCoqK7NpabHjdgcpKzNhMikZH3cxMhJiYmJlrAyWA1lZyqQSRibYvbuAQCCKRiPDZvMQi4UxGrUoFPF8VyqN57bhcBSvN4zTGWBoyJ28t0L8HDocPrZvz8frDdPUZCM/X0d+vgalUkowGGVoyM3goGfaexdy4YKL8nIT/f0uurqc7NpVyOnTI8n9J2QjIU7oNTTk098/0xOvujqHlpZ4XqbRyNi7t5CRER9dXWPU1FiTVkwJbN+ey9GjM8/V+vVx24hjx4bYtWv2nERr0bL2yY/RolDzad0rfNu/K6NzPhukCARyjAQ1Q3OPmC8SQ0NDSUnZTJo2xsbGeM973kNVVRXd3d14PB7e9a538ZnPfGZZj+8Kw4rc0ETqrQLrT2S+YYvopCAIW5f/iObHa5qQS3RHarVaysriGrJTZbqi0SgOhwObzYbX6012BSZ8r+ZKgH74w1P8+c+9TEwEkl2WCdIsFhOIRmNEIjFCoRihUJRQKEogEMHvj/8LhdKjbPV6OeXlJpRKabJrGaJ0dcW7E+LayvpZvXOm4pbPuzj4999K/h0VxFzv+QsvRq6ZZ6tLhz8X7+XO1kewhXKTj5U6nmXtLReD07EdRbiba1K2Uyld3HKzg29+3YxOF78hejweWltb2bBhQ9J081IiFosxMTGBzWZLIVLy8/MX5cGy3Jgqm1lZWXlZ5XcSXbkDAwO43W7y8/OxWq0ZaeqvBBI+k1VVVZeFjJuOSCTCyZMnUSqVBIPBRZuDDw0Ncdttt/Hd7353RUbkL1y4wN13383o6CgikYgPf/jD3Hfffcv+PkvEqk/MYOmEXELWym63J7tqp3rmiESi5H3K6XSi0+mwWCxJWVlBEOjp6UmS9gnZlB/8bZg/PdaO96wdIRpL8XmNRgViMYFIJEY4HCMcjhIIRAkGIynxLx1IpXGSJitLxeRkkNFRLyUlGo4fj/u6KRQStm3L58SJ4bT2qdHEfc2kUjH9/a4Fpf82bTLT2ppKftTUGGlujm+Xl6fGbg/MW3QqK8siGIwnXJOTARQKKbW1FnQ6BZOTAc6dG593im/r1lzOnnXOKZ1otapZv96EIAhIJGI6O8eWNJlvtWooKtJx4sQIarWU/HxditRTcbE+ZRqsoECH2axOy5dsNiRIrcS+3O7gnJ+1sjKHtrZ44mcwKFi71kBj49wVVYtFzZo1xlmn3GpqDDQ3xwm66dN5DQ0XpVnUaikWi4be3lQSdfv2vOSaKzFNmJWlxGrVMDLiYdMmM8ePDye7TOeDySRHLoeRkfmLEmVlWfMayM+GdCYPpyIrS8nkZIBYDL72te186lPL4+GwVCSa5+RyOcFgcEFfhtkQiUT44Ac/SF1dHV/4whdWpKB1BcS/KyL2LQchN9WewGg0ptgTiEQifD4fNpsNu92eouiQaAYbGxujq6uLqqqqFfdDSwcJyeg1a9YsSR0hUyQ8j202GxMTE8l1gtFopKOjA5VKxfr16y9bgXg84kTnqUQvSs+H9LnwDbzF8xw4gPR5rDmxURSl4/ziCLm3vLmP8nsf5qXnP0DjaKpfy4frjvPHZzZywXHx2ttZFOXwhYuEXEwkIPnPZ3H0pE7IzweLRcBmmz71JsfpNLN7t3/GFAVAWVkeXV1Bdu+W8/LL55OP79lTwKFDTrZv13PixCA7d+bQ2jqa9BpaCJs3Gzl9euFG5njTS/peTCIRNDRY5p1wnw6JRIRer8fvj/KHPzSwc+fmyy5NC/H7UHt7OwaDAY/Hk5Q9y87OzkjK8MEHH+SRRx7hD3/4w4r4sl+NfUuHz+fj9OnT7N69O/VgBIHR0VEeffRRHn30UdxuN29/+9vZt2/fZb33TkV7u4Pvf/8Uv/1tGz5fmN27C+ntnaS0NK4OotXK8XrDdHWNz5jwuhKwZ08hx44NzTphPBukUhFWq5bBQTcqlZhNmyxEIgJNTaOzNh/odHKys1UYDArU6jhpJwgCWVkKIpF4bdnnCyebLBP1ZojXnBN151hMIDdXy/h4gOZmG17vxSbJggId2dkqmpttyWbI0lIja9YYePHFC7PmsrW1RpqaJpBIoKEhF683SkmJgb/8pQ/fNCWcNWt0DA56CIfn/vkUF+vZtCmHzk4n4+OBGdYQCr2CTX/8OOtyvTwcyEvrXM+HAkmY/pwtBFRHlryvqRgeHmZoaChjMm58fJxbb72Vz3/+8+zbty/5WGtrK3v37l3WY7zCsDKEnGqrwNpFEHLtl4eQe81KVs7WHTndM0cqlZKbm0tubm5S7zXhe6XVapmcnKSsrGxGAjQ5GeKFF/rwepfXLVCnk1FWlo1aLcVm83Hu3DgnToxgMCioqsrhyJHUTrKRES8jI15qay24XMFZu+8lCoH/9+HHUx77t8D/WTVknIgYEiGaQsYBqHR+IC6p4H9ejPu0CV6972lUDj74Pjdf+b8WZLKL2yVMxaurq9FqtZfqI6RALBZjMpkwmUzJblyNRsPo6ChOpzM5wnw5OtQEQaCjowORSLQqZDPlcnmy+3337t243W5GRkbo7OxcdOKxVHi9Xpqbmy+JMX06iEajNDc3U1RURH5+PsCizMETetXf/va3V0yvWiqV8s1vfpPNmzfjdrvZsmULN9xwA5WVyyM9cBXpIRaL0dbWBsDWrVuTzSfTZbqysrLIyspKyinYbLakrGwoFErKfE29T1RLo3z/rz1peXJkAolExIYNJrKzVbjdYc6eHaO11YFYLGLHjnz6+sJJn1SAYDDKSy9dID9fy6ZNujml/LKzVVRU5BAKRXA6A0lSZyHE5ZhSodNpgQkAzGYZw8Nzk1+7dxdy4sRFUiYxWZYgoOLyJmZqaqSEwzH8/vAM8q2tbYx164wpU1Fms4ry8mw8nhAqlRS3O0RLiy0jCce5EJeK8dLQkMf583HZkqleakVFcUJOLIadOws5fXqUwcH0CqGzYWpj0uCge86pvPXrs5Lfm9GoYGIiOOfnTRxbU5NtzoKcSqUG4mulU6dGsFrVSVmaQODims7niyCTiZHLxclEvKBAR3v7WPI1bneQ/HwtGo2MnBw1Q0PutEmwoiItfn9oQTIOICdHnREht3dvUVLuJl1s2GDiyJEh1Gop99yzI6NtVwrnz5/H7/fT0NCAWCye4cuQjvdONBrlYx/7GBUVFStGxsHV+LdaMDQ0RF9fH5s3b0alUs0g40QiERqNhrVr16Z4qbW2thKLxZDL5fj9furr61eFWoPL5eLMmTNJyehLiemexy6Xi5GREVpbW1GpVOTk5BCJRC6b/F2W1MRh4WO8UfQfab1+q+TV4kwOUAZ0Le39VUtI415+OY+KD4lRSmfWEcb9ahyuaZKVU/5fJIKy0x0cy4CMAwjMYo3rdIYoLhbN2fycmyuiqwuGhsZSHg8GY+zda8LtnqSkRL6gT9xU7N6dx8svpxufMiPGdu3KzWgqHOJylc3Nbt74xpxVQ8ZNTEzQ1dWVnIxL/P4cDgd9fX0pkmjz+a3/7ne/47e//S1PPfXUipBxcDX2LQfUavUMMg7izZO5ubl8/OMf5+Mf/zh2u53f//73/NM//RMOh4Mbb7yRm2++eUm+uktFRUUO3/nOm7n//r08+GALPT3jRKOxtBsmVzsOHRqgvNxEMBiZYREwGyIRgbw8FYODbvz+GMePx6fGsrNVbNyYzfi4n7a2qXlEaFZfvuuvL+Evf4lPH8pkYqxWDSaTCo1GhkQiIhoV8HhCOJ0BRkY8ZGUpyc/XEosJrF+fhd8fwesN43YHGRx0MzTkZteuAlyuIGvXGhkacif3Pxt0Oi1r1sQoLtYyOuqhs9PFmTN2qqtzaGq6mEtLJBCLRWcl40SieEOlxaJBEAT+/OfeZD4lk4nJyVFjMCjQamUoFBKUX3kM7wd3QdWCp3lB5Ev8xETlS9/RFIyMjDA4OJgxGedyubj99tv57Gc/myTjIF6HeZ2TcSuHqx5yy4fFBpeJiQnOnDlDZWVlsuA4PSGbjqmLm7GxMdra2tDr9fT09OBwOJLSXhKJhPe9r5qnn+6muXmUQGDxAqVqtZQNG7LRaOSMjfk4e9aZorUrEsW7yDs6xuY18WxqsiGTidmzp5DGxlE8nvgVWFtr4e2fPUuZojv52hfDe/lK4EuLPublxlpZNye9M4lo4xRlyv6vrwdJIUb9MP/fp8L8f/flIBKlLiwTHmWXylR8IST8x8rLy5MGmX6/H7vdnmKinphyWumFVKJIr1QqWbdu3WUn4+DiyHd9fT1SqTTpLzdVb7m3txeZTHZJiMzVSMY1NTVhtVqTZBwsbA6ek5OT4r1js9l417vexde//nWuvfbaFTvevLw88vLiXU06nY6KigoGBwevJmWLwFI8khobG7FYLEnvp+mNKLO9l8FgwGAwUFRURGNjIwqFArfbzenTp5PTA3K5nN27C9m4MZtoNJaR/OJ0iMVQVpaN2azC5wtz9ux4SoICcRPrWEyYN/YNDXkYGvJQV2dlYiKQnGYqLtZRWKhnYiKI1xvKSLoIoKvLiUhECvGTIKasVhXt7bMnZXq9jPLy7BkFIfE0Axi3O5SUYNTr5VRWmikvNxEIRDAaVbjdQTo7x8jP1zE87GHDhmwmJ4MEg1FEIujrm0y7Ez1THD8+jMGgoKxMh8Wi5uTJeFPQqVMjrF+fhVQqzrjgNRva2x3I5ZIkMXf06FCKNGUCVqsmSQDn5WnnJOSqqnIIhaILHpvbfXGF7vNFXvWKiBNy04sHXV3jSdlHiUSEwaBIkpBisYhIJJqU2+zqSp8AW7/eiN3uYXJy4WKF0Sjn5Mn0/XN27y7MmIwDmJiIf659+8rRahfnU7Oc6O3txe12s2nTpmSBNFPvnWg0yqc+9SmKioq4//77V3TdczX+XV4kJBS9Xi8NDQ1Je4JE7JuryJ7wUisqKqK9vR2Xy4VcLqexsRGz2YzFYrkka/TZYLPZOH/+PHV1dfMW3S8FRCIRcrmciYkJqqurUalU2O12Tp8+nZwyvNTNhrFYDPHwW3DnP4BOtLB9g0k8znpxF+diZbAF6GVJBZul8LUerxy9PweVfOYB2Lx6/KFpJOeUy68yMsmLP2zJ6P1EIgG3e/Z6RX6+aE6J67ExH9XVSlpaUtc8ZrMMm81BY2Omcm65aZNxVquS06fT1xaNy2hmHvvk8vjJ/fCHt60KMm5ycpKOjo4UP/Wp6/R169YRCASw2+20t7en+NgnFJ4AHn30UX72s5/x1FNPZaSmkimuxr5LB7PZzL333su9996L0+nkD3/4A1/5yle4cOECb37zm3nnO9+Zsma6lDCZVNx3X9wKIxiM0Nxso6nJRmurnaamQfr7XYyOzt1Qt5px9qwTtVqWllUBwOnTNvLztSm2CGNj/mR+UlSkp6Qk7rM3XYUDICdHxaFDA8kmxHA4luJZl0Cc8MqmtLQQp9OP3x/F4wnh80UQieLylBqNjLy8eM4yMRFEoRBjMCgIh6Pk5WkRi0UpOWp84k4gJ0eF0+nnxReHpjwHZ8+OU1ysor8/rvCyaZOBpqaLn0GplFBVZUahkDA05CErS8XRo4MpkpwQ9wO32bzk5KheleGMMDkY4uzf/Y7qn91JS13pgud5PhRKJhDEy0fIjY6OcuHChWTNMl14PB5uv/12PvnJT3Lbbbct2/FcxQK46iG3fIhEIkSjmZ3NRHdkIoFJh4ybvv3AwAA1NTXJrqTJyUlsNhtjY2NoNBqsViv//d9tvPjiBVpb7YTD6Y0xK5USNmzIRq9X4HT6OXvWOee2GzfGSZyOjrFZn58LJSV6ystN9PW5yCoQ8fgvv4JVEu+wH4uZqHU1MSgUZrTPlcRN2t8j9sd4fPSWlMffUPEYMrMc33Nixj9bzqf/Xsl775pdgnJwcJDh4WFqa2tXhVGxx+OhpaVl3o7WcDiM3W7Hbrfj9/uTMkxGo3HZE/9oNEpLSwtGo3FVyGYCDAwMYLPZZjVDnY4EkWm324lGo0lp2bl8HxeDxHd2OacrpyIWi9HU1ITZbKawML3f69QC5Z/+9Cd+9atfcc011/DXv/6Vf//3f+fGG29c4aO+iN7eXt7whjfQ2tq6KmQ/p2DVS5dA/PtPGO+mC4/HQ3NzM+vXr8discw6Fb7Q9q2trZSVlSWbCKZKe4lEIiwWC93dYe655xmUSgn9/elPSJWVZWG1avD7I3R1zS3FmJ2torzclFbSMxUKhZhrrilmYiLE6KiH3Fwtx44NLTr5my5baTIpcToDKZKHU1FRYcLh8GG3z2xDVyjiPrFzfeYEDAYFlZU5+P1hurqc7N5dxNGjg1RVmXE6/XR0OBf3YRaJujoL2dkqQqEYgiBw5MhQWt4w6WL9eg3nzl30htFq5WRlKbhwIX5dqdVSJBJxsns0MUU39bvJylKycWM2R44MpvVdZ2erGBu7KBUqEsGGDdl0dIxhtWoYHZ3pVbNlSy4qlZRDhwbIzdWQm6vFbFbR3T2xoPzpdFRWZtPbO4HPl97advt2K0ePpkco79xZkPZ5mAq1WvKqzKzAk0/eznXXlWS2g2VGX19fsvCfbmEp4b0zMDDAJz/5SbZv347X6yUvL4//+q//uqQFqlUa/66I2AdxFYBMEIlEaGlpQaPRzGpPsFDsS2yv1+spLS1NWhYkLA38fn9y3anX6y8JOdff34/dbqempmZV5DWJSb3KykoMBkPKc4kpw8QafSqRuVJIWFJkZ2czrP8x14u/tfBGwJ2eX/Pb8J3xP1qB44s/ht05UV4+sTjJSoC//+KjtHk38XxfatFwnc6H/WSCiIk/ttkSxjUZQuUYRtnZwalXgjid6cdio1HKxMQsI3LA7t1WAgEfJ0/OJL8kEhHXXWdkYsKDSiUiFAoTDIYRicScPp2pp2kmk3GwY0c+R46kR8gtlowDyMnRE4tJ6On5ADLZ4r/P5cDk5CTt7e3U1tamTcInfB/tdjtf+cpXEASBDRs28PLLL/PMM89c0snaq7Hv8mBycpInn3ySRx99lHPnzvGmN72J/fv3U19ff1lJ5oRNit/vR6nM5/RpG52dY3R3TzAy4mFiIkBf32RKo9xqx44d+bS22pPDD3Nhqiz/fCgvN2GxqDl71pm0HUjkOrPtQ62WUlmZg0wm4exZZ0o+A/Fa8+bNuYyOeununpj1PTdtysFoVNLcbJs1L62ttaBQSJDLJYyMeLFaNUSjMS5ccDM46MZsViMSxZDJYHQ0iEoloazMgEgkfVVFRMTmzbm0tNiYnExdz2VlKSkvNwHxGvfkZJA9ewo5deqiz53BqCTrtx+gt9gy/dDSxic0J/lmVjNR6bsXvY8EbDYbfX19GZNxXq+Xd7/73bzvfe/jfe9735KP4zWKlZGsVGwVKFiEZOX5qx5yM5AJIZe46bvdbmpqamZ0Ry6UQCW29/l8bNq0aVaSIGE2Pzo6Snf3MHfddZzyciOtrc5Zu8vkcjEbNmQnOxw6O50L+sdlZSmpqMjm8OH0iyparYyqKjOxmEBf3yRlZSa0WhnXfOSvfH7Hz5Ov2+f5PX8I75t7R5cBn8v+Kj/u+QjO8EUNfZl/kje85SVAxMg713L4lyVIJDO/P0EQOH/+fNLnKJPx4ZXC5OQkbW1tGRE7iSknu93O5OQker0+ZSJzKUhMWVkslrSJnZVGf38/Y2Nj1NTUZPz5wuFw0nDe6/XOaTifCVYrGZeTk0NRUdGi99Pc3MznPvc5AoEA0WiUN77xjdx0003s3LlzRWVAPR4P11xzDV/84he55ZZbFt7g0uKKSMwyJeTsdjtnz56lpqYGnU6XcSOK3W6nu7ub6urqOYtoiY5cm83Gpz99ioGBABKJhOHhmQQGQGmpkfx8LcFglK4u54ITXRKJiB07CmhpmT1BmA0iEVRXm9HpFHR3j2O1xn1VOzuddHYujbya6sFlsaix2XyYTHK83miKP5hIFPcSe+WVgTm7zCHVeywdmM0qtm/PZ3w8MMN3QBAgGo3g8/nRaNRJ37/45S0kX5M4PkG4+N/pmP05AZVKikolQySKd1Y6HH4GBtxLkqmcjtl8ztav13P+vJtoVJiRjO7dW8hLLw1QVZXDmTMOdu0qoL19jPHx2QuN0zFVgnMqEh51U83OIX5NbtpkJj9fx8REINlFKpOJkUjEsxqhz4e6OjPt7WMEg+kVUmUyMVlZyrS8Abdvz+P48RFiscxvW3V12TQ2jlFYqKO9/SMzJjovJfr7+3E6ndTU1Cw6pk9MTPCZz3yGtrY2BEGgvr6em266iTe/+c0rXiRcxfHvioh9EJ/0XiA3TSIQCNDY2EhRUREFBQUZN6Ik/NmKi4uTUx7TkSh422w23G43JpMp6aW23OScIAh0dnYSiUQuu89zAg6Hg3PnzlFTU7Og7F2i2dBmsxEIBFaEyEwoARQXF5Obm4s9bCPHW4VGtPB98r8Cn+b/8/9X/I8Y8HsSCsYZY29ulJeOLD5He89dLUzmiXm6+6I+V6E0RNVLR5k4fp6jRy9On23fnsvRoyNkZcnJzVXQ2+ti8+Yi+vvlXLiwcJ2kuFhJf//sU4Tr1mnRamM0NSUagAUqK9WYTDEUCoHnnz+PWByfEF+zxoDZrMbtDnH4cPrKA5kSZkqlBJVKyfj4wuT8rl15vPLK4si4NWs09PbGuPfeTXz729cuah/LBZfLRVtbW0Zk3HREo1EeeOABHnzwQeRyORaLhZtuuol3vOMdSdWMlcLV2Lc64PF4ePrppzl48CBtbW1cd9117N+/n4aGhktaJ4vFYpw5cwaFQkFZWdmM+//kZJBjx4Y4enSQrq7xV5vhBAKBKMPDnhnTYKsJxcV6VCoZnZ1zD01M9ZJLB2JxPN/QauOSlC+9NEBNjYXmZhsWi5r167MIBCK0tTnSVmerqbEgl4s5eXJkRv63c2cBPT0TFBToUtTZTCYlUqkYh8NPXp6WggIdbW0XCUiLRU1engqNRkCj0TM87KWtzUEsJiCTiamo0HHhgp/x8Yu51rp1RvLy4v52HR1jyVw5P1+L2aymqWlm40VhiQH/rz/EWNbi6nJf0/+B+wzZCJL6RW2fQIKMq6ury6g5yu/3c8cdd3D77bdz7733LukYXuNYGUJOvlUgdxGE3IWrHnIzkO7iPdHdqFarqa+P//AyIeOi0Sitra2o1WpqamrmfL1IJEKn06HT6Vi/fj333hvkO985TWWlnvZ2FxKJiPJyE9nZalyuuOTUVP+X+SAWi9i5s4AzZ+xpdVQkSLhoNMb4eBCZTMzkZBCnM4AgCDT1d3Ng2yPJ13838IlVR8YBiIOhFDIOQOUdBUR4nhLz+duz5iTjOjs7icViSyrcLCcSRvCZystMl2FKTGR2d3ejUqkwm83k5OQgl2cmIxUOh2lsbKSwsHDOQsOlRm9vL5OTk9TW1i7qO5PJZEnfx4ThfIKM0Gg0yXOVbtB0u920trZSU1Ozot286SIWi9Hc3LxkMm5ycpLPfOYz/MM//AO33XYbPp+Pv/zlL/zqV7/CZrNx6623LuNRX0Q4HObWW2/lrrvuWm0J2WsSgiDQ39/P6OgoDQ0NyOVyBEEgEomTCgv9xgRB4MKFC9hsNjZv3jzvPUapVFJUVERRURFf/Wo2b3vbI1itSrKyZIyPhykp0VFQoCcSEejuHqenJ/3poU2bzAQCkbSkEMVi2LTJgk4nZ2jIjUolIxyO4fOFsdl8nDljJxIRkpIgY2P+FN+vdNHVNZ4kqkwmKTYbVFRYUo4xJ0dFQYEuLYlAhyP95NJkUrJ+vYnnnjufhpF4Zj4ys0GlkrJuXRZGo4JQKMqFC26Ghz0YDAqys1Xk5KiTnmxx0tOATCbGbvdx7pxzVqPydDBbonrunIva2rgEyshI6mcLhWIolRJyctRpd59ORV6eFpdrJlHb1uZIStFotTIqK82IRNDZOYZer+CPf4zLfic86lpa7GRnq7BaNWkTclu3Wjl92jYvaTsdmzfnzuqrNx0bN+o4eXJxZByQ/N2/5z1Vl5WMu3DhwpLJuFgsxje+8Q20Wi2nT58G4OTJkzzxxBMcP36cr3/968t5yCm4Gv8uLRZjTzAViQa6hfzZEpKMFouFWCyW4mNoMBiSDXRLzUMikUhysmTDhg2rQlp+cHCQoaGhBdcHCchkMvLz88nPz08SmRcuXMDtdi9LA53P56O5uTllkt8ss3BEuJfrRf+94PYN0ikjcWJgG/CnRR0KsSV+PcePFLHlrotNOltdA7T+80FaNDA2FmbdOh3d3fEYmZBVzs1Vo9VK8PsjvPxynCjbtq0Al0tLR8fcEshq9dyF+PPnPVRWKtm0SYXRGKWry0ZHxzA7dxbw/PPx9Y5MJqaqysypU8OcPj1Kfb0VhUKcVnPJ7t25GU+v1dfnpkX4VVSoOXJkcWQcQGFhNr29dt797g2L3sdywO12c+bMmSWRcQAvvPACBw4c4K9//Stms5m+vj6efPJJ/v7v/55HHnlkxXwxr8a+1QOtVsvtt9/O7bffjt/v57nnnuNnP/sZn/rUp9i7dy/79+9f8cbccDhMc3MzZrOZ4uLiWV9jMCi44Ya13HDDWgCi0RgtLXaOHh3kyJEhWlvtiERgNMbVysbH47YEq8GXrr/flbQKmss3OhIRKCnRp03IxWICzc026uutyRzDYlGzb19ZUo7S5QrNWhOdC83NcaKrsFDHmjWGlIm4w4cHk5L8O3YU0N7uYHIy7i938mScoFuzxsDLLw9QUmLAahXR3T3xqne2HKlUx5/+1AvEmxd37iygt3eS5uZJ5HIxFRV6pFIYGQnR3T0xY1pv164CmpvtKbKeUzHQN0nFp36D70fvx6/MXEa/QNSLIF6aH3bCOqe+vj4jMi4YDPJ3f/d3vPOd7+RDH/rQko7hKpaAy3+rSBurekIuGo0mC4tzYandkYFAgObmZgoLC1N8mtLB2Jifqqof4naHuP76Yg4fHsTvz1ywtLIyh3A4umBhR6e7SMKFwzG0WvkM/WGJRERBgZYv/uwQH654DICmSA3b3UcJcvm91abjw9L/5ocj96U8Vjx5gvVvHyF2bz5P/c/GGdskCFStVpuUl7ncGB0dTXZQZEqczQVBEPB6vdjtdhwOByKRKCkFs9CCPdFBunbtWsxm87Icz1IgCAI9PT34fD6qqqqWnUBNTK8mzlU6hterkYxraWkhKytrzgVsOnC73bzrXe/iYx/7GO95z3uW8QjnhyAIvO9978NkMvHtb3/7kr1vhrgiOiUFQSAUmn9KLBaL0d7eTiwWS/6mMmlEicViyaaGioqKjH+TN930MH/5Sx+1tRYGB104HOlNKU2F2axm3TojR47MTzpMJeEmJ4MYjQomJ4O0tTlSCI65kiOrVcP69Ubc7jBnztjTJkUSk1hbt5rp7fXg8YSSnYn19Vb6+10z5ELmgkgE+fm6BZOz0lIjoVCUkhI9L7+cGeGU7nGsXWvAatUiFoPN5uP8+ckZUpRKpYR167I4c8aBVComJ0fFyMjMaUiNRkZ+vpzsbB1+f4xz55x4vemvggsKZp4TsVjEG95Q+CohJkEuFyGXy9DpVBw+PMzWrbm8/PIga9YYKCzU4XIFOXPGseD3mpCBmQ65XMzevcWMj/s5c8ZBMBhFLpewebM1eW3W11uZnAymkMy7dhVw9OhQGu+by7FjMztUF0JFRfaCZHJNjZmzZ52L9jNWKCRIpSK83giNjR+krMy0qP0sFQMDA9jt9kU360D8vvmv//qvDA8P89Of/vSSdoNfAfHvioh9kN6E3PDwML29vYu2JxgZGaGvr4+amppFF8AFQWBiYgKbzYbT6USn02GxWMjOzs742kvkokVFRauigS6xZvd4PHOqxmSCqQ104+PjizpXCdnMqqqqGZOuttAIVl8VKtH86xCvoMYwMUl0aj/yn4FFcDrbciMcO7K0ovat/9DLi4NFFD37Mqd+coStWy2cOBEvolosCvz+CG53FIlEhEwmprY2G6mUWdcG1dVWQEtLC0z/udfV6WhsnFljsFolbNgg0Ns7Qn9/vAFGoZBQU2Ph+PE4Wbh1ay4jI96UiZWGhjxEIjHHjs1PmsU94zL3nN240UxHx/w1kbq6HNra7AsqD82H0lIL0SicOXP3ZaslJHLR2traBSdQ58OLL77IF7/4RZ566ilyc3OX8Qjnx9XYd2UgGAzy/PPP88gjj3Ds2DF27drFvn372Lt377LKIgcCAZqamli7di0Wy+IlBwGGhz0cOTLIkSODHD06REuLHatVg9WqQaGQ4POFGRx0z5qbXCps3KhnZCTAxMTMnD3TKbkNG7K5cMGFzxdm164Cjh8fZseOAgYG3JhMyiRRlmgI1OnkyOVxyXm3O8joqBeHY+6cVKORUVdnZWDARV+fC7EYamqsNDaOYjar2bYtl+FhL+GwQCQSRSIREwpFUChk6HQypNIIzc1OYjERUqmE8XE/DQ35jI56CAajrFsXn+Jrb3fM8IxLwGxWUlhoSNvbveFtZZz4jzsQMswL/mK6n+36z2W0zVTY7XbOnz+fMRkXCoW4++67uf7667nvvvtWRY16lWNlJuRkWwWMi5iQc1yVrJyBhQi5yclJWltbF90dmVjcb9y4kays2f3JFsL997/Ef/7nERoa8pKL13SRk6Ni/XoTR47MXXTT6+VUVua8+lkEBEFEZ+fcEk3bt+czqemn5cGvIRVF8QpqtrhO0hmbSWxdbqhFXq4R/YU/2m5KeXzdxJ/Rh7w8XHcN+fmp5Fai68Zqta4aCcaBgQFGR0epra1d0Y6jhEeKzWYjHA4npWB0Ol3KtZ4gqcvLyzGZLk9xbSoScrChUIjKyspLEpymnqtQKEROTg5mszkpm7NayTij0bgkWZGEXvX73/9+7r777mU8woVx6NAh9u7dm+L7c6m969LAFZGYLUTIhUKhpKxpwhcyk0aUcDicJH/XrFmzqN/k0aODXH/9b1CrpQQCkYympKRSMTt25NPYODqnDr9YDNXVFrRaGZFIXApjLgNsiCcoXm9oQWIi4TkWDEZpbbXNO4GW8Ivbvj0fqVTMyy8PJDsBX355IGOCJSG5OPf7ZXP+vBudTo7d7kvbn3Y+5OSoWLPGgFIpw+2OE0oJT7a5IBbHO9QTyR/EZTnT6XKXSESsW5eFxaImFIrS1zeZ7O6fDYkOzQRkMjHbtuURjQqEQrEUKZX6ehOnTzuprzfR2TmZ4sNmMCjYsMGE3++nr8+LyzXzuppO2BYX6yguNnDmjIOqqpzkcwaDguJiPS0tdtasMZCVpZw1eaypsSCVilOOcTp27MjlyJG5n58L6ZBxFRXZ9Pe78HoX77+xZUv8e25oyOOFF/5u0ftZCjLxlJ0LgiDwH//xH5w7d45f/OIXK7oWmw1XQPy7ImIfxONTbI6AklhPulyu5Jo70YgC6U2Fnz9/nsnJSaqrq5ftOhEEAZfLlfQbV6lUWCyWtBQbEtMxGzZsWHQuupxINPtIJJIVmdSbfq6USiUWiwWz2TznuUookMwnm3l0/J+4TvzdBd+/1tVIc7T24gMu4DHiEpYZoFzn5myLLrONpmH/tUO8+J9P4uybAOJetO3tF6e4a2pyXm02geJiBSaTFJlMyvHjjjn3uXatkdzcXE6ciBIOx3/K27cbOXr04jabNslQq72cOjVAba0lGev1evmrkxR2SksN6PUKGhtnyonFm2aKeeGFuesXu3bl8soriyHjsunomF9HtLLSRG/vOD7f4mNfSYmBvr4Q//iPW7j//p2L3s9SkLBMWGou+sorr/C5z32OJ554goKCgmU8woVxNfZdeQiHw8lpykOHDtHQ0MC+ffu49tprlzRFmaitLDR1vlgEAhFOnhxJknTHjg3hcPgxGBSUlBjQ6+VEowJjY356eyfSUBhZHsRlHLWzSi+mq+ZRVKTD54swMRFgx478ZNNFQYGOoSE3ghBXk4lGY/PmBmq1lLw8LVlZSpRKKYIg4PNFGBvzMzTkJhIREIniTYaxmMD58xMYDEomJgJs3pzLCy/0A5Cbq6G4WE9bm4PKyhy8Xj+9vW5ycrQUFenx+UJotXIEAUZGPGmphTQ0WGlvH8PjyWx0afeHtvLyP7w9o23azf9MseZLGW2TgMPhoKenJ+Mhi3A4zD333MO2bdv43Oc+d5WMSw8rQ8hJtwroF0HIjV8l5GZgPkIu0R2Z6CjKlIyz2Wz09PSkpYk/H5zO+JScViufc+x2OqTSuFdOU9PorEamcRLOjFIpJhoFtztEW5tjwS4wkSjeXf+thx/n5ry/AvBB74/5aeiDmX+wS4DN8uP02NYzEUlNQCv8T9BwSM4/3GrFYrFgMBgQiUTL2nWzHBAEgd7eXlwu17J0kGaCSCSS9LTweDxJKRi5XJ4kmS+lkfNcSEiLCoLAxo0bL0twSpwru92O2+1GpVLhdrupq6tDp1taMr0ciMViSZmiBLmyGCT0qt/97ndfHZGfG1dEYjYfIef1emlqamL9+vVYLJaMp8J9Ph8tLS3Lch/dv/8Af/rTedauNXL+/ERa29TUmPF4QvT0zCy4JEg4o1GBIEAoFKWz05mWR9h80iFzQauNN7yAwJkz9hmTXWazCofDT22thbNnnWRlqTAYFLS1zV0Mmw/FxfpkF/p0bN+ey4kTo0SjArW1RpqaJjLev1IpYf36LIxGJaFQjIEBV9rrkqmYLYE0GhUEApFFTWLl52spLtYjkYgZGfHQ0zORJDM3b87l1KkRRCLYsaOA/n5XUiZFJIoTdonvtbzcxNmzTiorTXi9Qfr6Zu+KFYtFbNyYjcmkZGTEy7lz8URx584Cjh4dZMuWPMLhKE1NNgQhTiLm5KgYHfVRWKhDKo1LgFdW5nD06NCM6cGpuOGGNUnZlunYts264ATBXJhrmi+B9euzsNt9MwzTM0VCqvPb334T9967NK+FxWBwcDDZ0LQUMu7b3/42jY2N/OY3v1nWbu/XEK6I2AdzE3LRaJSWlhZUKhXl5eVAZo0o0WiUtrY25HI5ZWVlKyZ1n1C3sNlsOBwOpFJpUvJyenEn4c82n3/rpUQkEqG5uZns7GyKi4svyZo9ca7sdntS3cJisaBUxlVdRkZG6O/vX7A4NhoaJs9XhVI0/z3xQ94f8ZPQtDXyCaAls+NeZwjR3bR4RZRt+eNEXn6UUyfjxdWamhyam2euLXbvzufll4fYtSuPcDj0akPWwh65VquGsrICmpsFqqsNnDw5xubNUux2G11dFwu6W7fmcuLECBaLGr1egc3mpbrasmDs27u3iObmMSYnZ65Vd+2yZiwpncDOnYUcPjx3E0tpqYGxMc+SY9+ePcUcOmTn5Mk72bjx0jevLhcZd+zYMT796U/zxBNPLMnq4DWMKyb2XQ5EIhEOHTrEgQMHeOGFF6ipqWH//v288Y1vzGh6PNE0caljWVeXk8OH4xN0R48O0tExhiDEGz+Li/WYzWpkMjFeb5iBARd2e3qqJplCLBaxa1chhw+n+omnMyWXna1CrZbh8YQoKtInpSYTqK21pJB9DQ15jI566O/PzGdPIhFhtWowm9VoNDLEYhEKhRS5XILPF8LjCXPy5Ai7dhXQ0mJn3TpjSkOGyaRkz55CnM4A7e1jaSvEJBpDT5zIvDkxgd3338DL79qV9utduZ9BovzXjN9nbGyMc+fOUV9fnxEZF4lEuPfee9m0aRP/5//8n6tkXPpYGUJOslVAswhCzn2VkJuBWCxGOJxKWAmCQHd3d9KHSiqVJj1z0knIEiTK+Pg41dXVy5K4f+Urh/j61w+TlaVcsHBYUZGF2x1gYCD1JqbRSNi40YTJpCEYjDI05EkWkdLFli25qCp7eenr/w+A34bu4E7vbzP7MJcQda4XaQy9YcbjW88+x/O372R83InNZsPlcqHRaHC5XFRUVCR9Ay4nBEHg7NmzRCKRRcm9LScSUjCDg4PY7XaysrIoKCggOzv7kneJT4UgCLS3tyOVSmc19L0cmJiYoLW1laysLNxuN0qlMiltuVxSo5lAEISk/OratWsXvZ9gMMidd97JTTfdxMc+9rFVca5XKa6YxCwYnFlsGBsbo6Ojg5qaGnQ6XcaNKOPj43R0dMwq+bQYnDgxzDXX/IodO/IXlJ20WNRYrQpaWlLjmlgM5eUG8vONCIKA0xmgrc2R0XSYwaAgFovN2uCSLpRKCVVVZkSiGB0dY3g8ceKpttaCXi8nEIhy9qxzyUWg6ZNPEokopRuysFDHyIiHSGThy2/tWgO5uVrEYhF2u4+enol5C2jpYD5iczG+bbNBr5ezbl0WWq0cny+ERBI3EE8YjI+PB1I637dsyaWry4nHE0avj3dkbthg4tix9FQJ8vM1bNoUNzc/fnzkVfP4i0gUJCsrc3A4fJSXm2hpsaf1XW/blkdHx1jSlwHi32ltbQ6nTqXnITwdFosap9M/5zVQUqLH6w3PK02TDiQSETqdHL8/Qnf3x8nKurSy5kNDQwwPD1NXV7ckMu6BBx7g5Zdf5uGHH74scfwKwRUT+2Yj5BLKD4WFhRQWFmbciJKYKs/Nzb3kRWufz5cknEQiUZKcczgcjIyMUFNTsyqu22AwSFNTE8XFxZdU8m4qAoEAdrsdm81GNBpFJpMRDofZvHlzWvnMsfHPcK34B/O+5ofBe/mI74epD4aBg0AGt9R8XYyhlsXlfg35k5z6/veJhqOUlmbT0+Oirs5MY+PsMWPnzjzEYhHj4x7EYhGtrek1BalUEmpqzOTl6Tl1amBGQ1B2torJycCr/r9RSkoMdHY60yq0qtVSNm/O49ChqXFYYOdOK4cPL+x9OhuMRiWBgDBn409BgYZwOO4XvFSUl5tRqZS88sodS95XpvB6vTQ3N1NdXY1Wq130fk6dOsUnPvEJfv/73y8ph3yN44qJfZcb0WiUw4cPc/DgQf785z+zceNG9u/fz5vf/OZ5SbahoSEGBwepra297LFsfDyQJOeOHBni5MnhFBWJ7GwVRUU6tFo5kUgMhyM+TZdOzpUOKitzmJgIpDRDzpc7qdVSiosNhMNRgsFoijRwArM16MXVRPJpbx/D6VxaLpCTo0Iul1Bdbcbh8CcnpqequuTkqKirsxKJxJJTdOlg+/Z8zp5Nr7F2PojFIjZ//1ZO7Kla8LXZ4ihDed8mIvtYRu/hdDrp6urKmIyLRqN8/OMfp6SkhH/913+9WoPLDCtDyIm3CigXQcj5rxJyMzCdkEt0RyqVSjZs2JB8TSaeOe3t7YjFYjZs2LBsJMr4eICqqh+ydq2RxsbZu6GtVg0lJQaOHbt4Q9XpZJSWqpFKBSIRMQMDAcbGFn/D2liRzc8e+yk79KfpjpZS7zqNm6UXXVcKxeeO029suPhAOIphwM6vqoNcv/Gi79n4+DhnzpzBaDTidrvRaDRJKZjLQTjFYjHa2tpQKBSsX79+Vdx4JycnaW9vZ9OmTcRisaQUjEwmS0rBrJSZ82xInCOlUsm6detW1Tmaapqd8Oiz2+NJcIKcuxTdXYIgcObMGdRqNaWlpYveTygU4r3vfS9vfOMbr+pVL4wrJjGb7qPT39+fLF4rFIpkIwosLNMF8YRpYGCAmpqaZOf5cuCWWw7i8YTm9AmRyyVs25bPqVPDSU15iUREWZkOjQZiMRFOZ5S+vswnuRJIV04xXUilYiorc9DpZOh0crze8LxSk5lgqkSjwaBgzRpDSudjYmJpOgwGKXl5KnQ6JcGgwPnzrgWlJzPFQlOG69YZZxhzL8d7Asn3ra4209IysyhZVKRHoZBQUKDjb3/rX1D+MzdXQX6+FpFIQk+Pi5ISA42No9TXW/H5wnR2Xpww2Lw5F6lUhFgsYmjIM+cU42wQi0Xs2VPAiy/Gj0WplFBebqS5eX65yfmwd28RL700+/Wclxcv3g0PL/73kkBFRRbt7eO84Q05fPvbuzCbzRiNxkvSYDQ8PMzQ0NCSybgf//jHPPfcczz66KOXdI1zBeKKiX3TCbmEPUFFRQUmkyljMs7j8dDa2kpZWdllb+hLEE69vb1Eo1GKi4uxWq2XfToucY5Wi2ymIAh0dHTgdruRy+UEAoGkTH9Cen42DIcGKfRtQiGaOzaejtSx2X165hPngJfSP0aNXMB7NvP19uY8Ny0//D7hYLy+sWtXAQ5HiLNnJ+bcRqmUsGNHHs3Nw6jVUgYGZr//SyRQXKwiK0uO3x+ju9uFwaDA6w0hlYqpqbFw4sRwkvDas6cQh8OPTifH5QqmxMV08KY3reHPf07EYYEdO6wLNmfNh/habvZGG7NZhULBrAXrTGE2q7DbBT7ykSI+8IF1mM1msrOzL8l09XKRcc3NzXz4wx/m4MGDlJWVLeMRvuZwxcS+1YRYLMaJEyc4cOAAzz77LKWlpezbt4+3vvWtyYbOWCxGV1cXPp+PmpqaS6oUlS4ikRgtLTaOHBlKSl1Ov4fI5RJKSvTk5KiRSES43SEuXHDhdC6uJpuQ0E80Dc41JSeRiJLS921tjjnl5+VyMWq1jImJmU2COp2c2lorJ04MLdpLes+eeF56/fUlr8p9TjIxEaS0VEtfn4edOwsZHw8wMuKlrCwrrXu8yaRk/XpTSt17qVCrZRQ/+F46Ns7fVFUt83LM+jwx6ZvS3neCjEvUWNJFLBbjvvvuIzs7m//3//7fZR3QuEKxMoScaKuAdBGEXOQqITcDUwm55eiObG5uxmKxUFRUtOxF63/7t0McOjQwo4gik4nZvj2f06dH8HojGAwKqqtz0GgUDA9P0tExviwaxzU1Fspv6uKRT/wXIUHGHvchjke3LXm/K4mss32EwnrKJid4R66YexqMWHWpi2G73U5PTw+1tbUolUoEQcDj8SSlYORyeVLe5FJ05SRIYaPRuCR5weWE0+nk7NmzKURTAj6fL0k4CYJATk4OFotlRZP/hASjTqdbNR17s5Fx0xEKhZLnKhAIYDKZkgXKlfDQmEpYLhbhcJgPfOAD7Nixg3/8x3+8SsYtjCsmMUsQcrFYjI6ODiKRCFVVVUgkkqRnTrpT4efOncPn862ItO7Jk8N89KPPzCrjWF9vZWzMT3+/K5l4WK1qJifjU3CTk4ufaEtArZahVEoWnTjNvV8pmzfncu7cOC5XCJNJiV6vQKORIZOJkUhExGIQDkfx+SJ4PCGcTn/KpNRsMBoVeL1h8vK0iEQi+vouSncWFekZGnIjk4kpLTUik4WRSBSMjPgXJT2ZCbZvz+P48RFisfkv+7IyLV1dSz8WmUzM5s25HD06hFQqZt26LHJyVHMSu0ajAotFTUWFiccf755BXFqtatauzUIkgvPnJ1JM3sViKChQc+HCxa76rVtzcToDBAIRNm7MZmzMP6v/QzpIEGh6vZy8PDWdnROL2g+AQiFBq5XPOqGQkxOXtcmEMJwPCXL4d7/bx44dJmw2G5OTk+h0umSBciWankZGRhgYGKC+vn5JZNwvfvELHn/8cR5//PFlbTJ4jeKKiX2RSIRoNF5YGhkZ4fz584u2J0hIQm7atGlJxe/lQjQapbW1FY1GQ1FREWNjY4yOjia9ji0WC1qt9pKu5RI5xGo5R4mGvoS0qEgkIhqNJmX63W43RqMRi8VCVlbWjALYMed9XCv58Zz7DwtS9BMuAsySCzwJZDDYLBsQCEfS/65q87x0/OQBgr6L6wSVSsru3YUMD3uRSsVIpSKkUjFicbzhQySKW1LodHL6+yfp6pokGEwUXgXKyrKwWtV4vUHOnnXOKOpOl8C2WjWUlho5enSQa68twe+PcOTIYMaeuBCPSRKJFJvNz7ZtZo4eTW9qfTaIRFBYaOTChZnrC4NBjtmsyFg5aC7s3l3M4cMOOjvfh1Ybw263MzY2lpRMNZvNGcn1pQufz0dTUxObNm1akmVCW1sb99xzDw8//DAbN25cxiN8TeKKiX2rFbFYjObmZh555BH++Mc/kp+fzzve8Q6eeeYZKioq+OIXv3hFERGDg26OHBlMSl02N9tmVRexWjUUFGhRq+X4/UGGhiYZHQ2m7Zm+e3chJ0/GGyBmm5LbuTMfqVTCoUMXFrz/Tvfbnu1YS0uNGd/LTSYVgUCEhoY8mppGmZgIUlSkQyqNoVbL8HoFxGIRk5NBxsb85OdrF8xHt27N5fz5ybQlLTNBdo4K5UMfYjBvbpnhtypHeNQygSAuTmuf4+PjdHZ2Ul9fnzEZ99nPfhaFQsF//dd/XVG/gVWElSPkRIsg5ISrhNzMN3/VR2ep3ZFer5eWlhbWrYt3Qa0EJiYC3HXX4yljvHV1ViYmAkxMBNi0yYJSKeHCBRdnzzoXtfCdD3VbzTz8yDcpU/TwOd/X+c/g55b3DZYJsuEJysZdXKeJcXe5lk15c/v3DQ4OMjw8TG1t7Zxda9OlYBLk3EospMPhME1NTeTl5V1y0+S5YLfbk8WKhYJIKBTC4XBgs9mS3aZmsznp0bccSCzasrKyKCkpWZZ9LhUTExN0dHTMS8ZNRzQaxel0Yrfbl71AmSDjFArFkqYHr+pVLwpXTGIWCoWSMltZWVnJKcpMPXNaW1tRq9UrOs17552/54knupJJSmGhDqtVQ1PTKDU1VrKzVYyP+2lttS+6g28uLJSkZIqsLCVVVTm0ttpn7UZcCAqFhKwsJQaDAo1GjkIhQSIRAwLhcAy/P0xBgZaxsQCxmIBMJkEsFiEWg1IpxeeLLOjdstyorbXQ3j62oE8txOUjE3Imi4VGI6WszJTiTfCGNxShUklxu0Ovnqc4yelyBZmcDFJVlYNEIqajY4zaWgtqtYTh4XF0Og2jo4EUYnM6du7MnyGhJZHEP3dhoZ6xsQBTfxqxmEAsJhCNxr+zcDhKKBR91UMvgt8fwesNJ9dxcnl8Ks7rDXH+/NK693fsKODIkZkTkkajguxs1bJNKIpEcWnMWAzOnfsYUmk8kRQEAZfLlSxQymSyZIFyOUiv0dFRLly4QF1d3ZJi6a9//WseeughnnjiiSX5QL+OcMXEvkgkQiQSoaenh4mJiRn2BJDeVHh/fz82m23VSEIm4nl+fv6MHCISiSTX516vNzkNtpzr89mQ8GdLJ4e4FJjqYTdXDpGQ6bfb7YyPj6PT6bBYLGRnZyORSBgMXqDEX41cNHfDzy7XyxyOzvSj0Y5F8Pwh/ftSzoSAYyK972dTrp+eX/4An+tiY0hOjpKSEi02m5eSEkPK9BrEJysaGvIZHvbQ2zvJnj1Fr8bpEIFAlAsX/PNKga1ZY+DCBVeKpxFAebmRDRuycbni8TZO/Ilera/EY180GiMcjhEKxaXUAoF4DPT5QinHeM01Jfh8QY4fX9q6oL7eyunTMyfL1Wopa9ZoF+3dOxtqawvIylLz1FP7Ux73+/04HA7sdjvhcJicnBzMZjM6nW7Jv8PlIuM6Ozt53/vex29+8xs2bdq0pGN6neCKiX1XAgRB4Pjx47z3ve9FrVZjNpvZv38/73jHO8jJybnch7co+HxhTpwY5ujR+BTdsWNDczZ5KpUSSkoMmEwqBCGG0+llcNCL1zt7/lRaagSgv38yZUru2muL8XrDHD+eXhNDugol69YZMRiUnDqV3v14z54i3O4ger0iOVSiUIioqcnB5xMIBCJMTMTJuIICLYODc5NxBoOCjRuz5/W/Xg7klWhw//ajeAyzNxB9UNPBd3KKII17dqJGWFdXl1GOE4vF+MIXvkA4HOZ73/veVTJu8Vg5Qo5FEHJcJeRmvrkg0N/fT09PD3V1dYvqjkyYjFZVVS1pAZQOvvOd43z+8y+Qn69N3oDFYhFnzzpTurWXGxUV2bzxk2f4n3f+gGfDb+atnmdYoes7Y0hGXZSMOrlGGeX9lXq2Fi48mSUIAufPn8flclFdXZ12B3UwGEx6DyQW0svVbZrwVlizZg0Wi2VJ+1oujIyMJAtbmcpsJLpN7XY7LpcLg8GA2WzGZDItumM9Go3S1NSE2WxeNcbSiw20UzG9QJmYyszJycl4nwlfPZlMtiSCJBqN8rGPfYy1a9fyla985SoZlz6umMRsfHycxsZGSktLyc3NTTaiRKNRxGLxgt95IBCgubmZwsJC8vPzV/RYT58e5X3v+wODg262bcsnGAyj0SgYHHRnLIGUCeRyCVlZCkZHl+4nkpurYd26LE6fHklKay4HpFIR5eXZmExKvN4w586NE4nE2L27kEAggssVoq3NnuJfsH69hrw8A52dE8vilTIfysqyGB724vGkJ38pFovIz9cuWjYqO1tFTo4qeV0kJhH9/ggnT46wcWM2RqOCkydHiERiNDTk4XKF6Oi4WKirqckhEAgwOBigvDwbjUaG3e6btdlJrZah0Uix2/2IxVBdbUGpFCESxRgf99PZ6aGuLpvGxswkJvV6OWVlJvR6OVKpmGg0yKFDI4RCS7ttlJVl0dWVOgWg1cooLNSnnIOlIuFl+IlPbOE//uP6OV/n9/uTk+PRaDRJFCxmXTU6Okp/fz/19fVLIuMefvhhfvazn/HUU0+tiomeKwRXTOxLrLflcnly+iNTe4KEx3NlZeWqKJQkGkPTkc1MNIQlPLSzsrKwWCzLKicrCAJ9fX04nU5qamouq990AqFQiMbGRoqKisjLy0trm8T6PCHTr1QqsVgsDCq/yjWSn8+53X2+b/Od4H2zPlf2optz3VqENH4ypeEYPYMLfycbrQEGf/O/uMcvFjMbGqx0d48hCCRJNatVw7p1RpqaRqmry6WnZyJFnlgmE5Obq2BoKIDBoKCszIREIuL8+clZZYwT/qgQjy1ms4pIJAxEOHZsnNpaE01Nma3RZDIx69dnYTarEYtFyOUiWlpGGB5emr/uli15nDyZOp4ok4mpqsqa0w5kMTAYFHg8Er773eu4++7KOV8XDoeTebLH48FoNCbz5Ex/h36/n6amJiorK5fk39zd3c1dd93FL3/5S+rq6ha9n9cZrpjYdyXAZrNxyy238NGPfpS77rqLs2fPcuDAgWRz1L59+7jpppuwWq1XbG1CEAQ6O50cPTrIX/96jqNHh7lwwTfvMEVuroacHDkSSYxwWGByMsrQkBdBiE9Bb95sRRDglVcGueaaIgYHPRlP/G7cmJ12HlBTYyEYjMybg2dlKdHp5ASDUaRSMYODbvLzlchkUoaGfOzYUcDIiCeZk8xlqQBx6f/BQfcMj+6VwqZdhXR8724i8pn1z3/RN/PPpvUL7mMpZNyXv/xlnE4nP/rRj5ZtXfbMM89w3333EY1G+dCHPsQ///M/pzwfDAa5++67OXnyJNnZ2fzud79bNWptS8BVQo5VTsglZCo3bdqETCbLuDtyYGCA4eFhampqLknnn8sV5BOfeIaBATetrQ58vqXLcaWD3TeYefSn/5eYSEKtqwmbYL0k7zsbxA4PRUNj7FFEee8GDXtKdOk0KCQRD4KdxGIxNm7cuOib3PRuU5PJlExoM10gJBbS5eXlmExzj0hfSgwMDDA6OprsHF4KBEFgYmICu92O0+lEpVIlO+LTJfoikQhNTU3k5uaumunBxAj6Usi42ZCQAXU4HESj0WQH5UIFyoQnhkQiScrwLAaxWIxPfepT5OTkXNWrzhxXTGJ26tQpioqK0Ov1GTeiuFwuzpw5w8aNGy+ZH8z99/+NY8eG6exc2QaUqZjPKDtdFBdryc83cPLkMOHw0qfSlEoJZWXZGAxyXK4QXV1O/P7ZCb5t2/KSyVVFRQ7hcJiuLidud7zT0mhUJE20GxtH8XiWd01RVKTD74/gcGQmK7LYqcTCQh1isSgpuVhTY8Hp9DMw4J7hX1dVlU1RkYFgMEI4HC/Ex2ICoVAYt9vL2rU5nD/vfnViLYzPF0YiiRcKFQopIyMeursn2Lu3kImJePdnR8cYVqsajUbOxEQgmWTqdDJkMhFO5+ykpF4vZ80aI3q9nHA4xvCwhwsXXAhCvKu/q2uMtWu1CIKMvr4J3O7FfU+bNplpbU0tSMavJ9OsvnpLQcJ38ZVX7qa2Nr01Y6JAmVhXZWVlYTabZ5WNmw6bzUZfX9+iGoim4ve//z0PPPAATz31FAaDYdH7eR3iiol9PT09xGIxioqKMlZECYfDtLS0kJWVxZo1a1ZFQXApkpCJaTCbzcbExAR6vR6LxbKk5rlEnhWNRqmoqFgVa0ifz0dzc/OSff68Xi82m41zrk5uLHk3MtHssfdXwbt4r+9Xs+/EEWLrQ2M0anOJCPNfP9WyKC1d838PZeYgtgM/ZNIej3s6nYxNm0zJwmZVVQ5nzlyc/jIaFWzfXkAsJjA25kMiESOTxZuwPB4PJpMalys+ueb3xye2fb4wWVkK8vJ0BINROjoclJQY8PsjFBTo6O934feHWbcuLus8dd1UXW2gpWX2CfOEfHZ2dlxdxOHwc/78BOFwjNxcDRqNlNFRz6t+5Ro6OxfXNFJQoGNoyJ9S8BaJoKHBsqweRAA7dhTS2DjB+fMfRK9Pb3I2Foul5MmJyaB08uREDaGiomJJMauvr4877riDn/zkJ2zdesnrhVcyrpjYdyXAbrfT1tbGNddck/J4opn+4MGD/P73v0cqlXLTTTexf/9+8vLyVkUszhQXLlzAZrNRW1vL5GSYY8cu+tCdPDkyZ26XgFIpJi9PhcmkQi6Xo9crCIWiNDXZFmWzkGnOKxLBtm35DAy4Z/jXAezdW8jkZAiVSsrRo0Ns2qRneDjIxo1mzp0bZ3TUm5Kb7diRP8M/Lh7PLHMSdSuJHe+q4sj9t814/OuSv/EBU+W89jwJK5tMa4SCIPDv//7v9Pf38/Of/3zZbECi0Sjl5eX86U9/orCwkIaGBn77299SWXmxaeSBBx6gubmZH/zgBzz00EM89thj/O53v1uW97+MuErIscoJOYizwZkmZIIgcPbsWUKhEJWVlZfUZDQajfGHP3Tx/e+fWlYZrblQWKjiI//Vyhd2/Yq3ep7hT5E3r/h7ToVo3EvBwBi7ZGHuXKfhTev1GRFwU5GQV9NqtZSWli5b8J4uP5iYBsvOzl4wEXW73bS2tlJVVbWkrrblRG9vLxMTExlND6YLQRDwer3Jjvh09PQTUp4FBQVpd7WuNBIFkEz1oDNFOBxOypvMV6BMFEBEIhHl5eVLIuM+85nPoFKp+Na3vrUqCilXGK6YxCwcDhOLxTIm42w2Gz09PdTU1FxyKbfTp0d54IGTHDjQkZb84VIgkYjIzpZhs6U32TUda9aoMRrVNDU5liQhrdPJWL/ehEYjx+n009XlzIjYy8/XkpWlTBbkJBIRlZU5GAwKBgbc9PbGC2WVldkUFemx2/00NY3OkKDKFDk5KlQqGRcuZO5HptfLiUZjeL3pTxKWlWUxPh7A4fCj1cqorbXyyisDyXM/tfNSr5djMqkYHvYQiwls2ZLLxEQwpTN0NlIw4bNTXm7CaFTi90cQi+GllwYwmVRs2GDC4fDhdodmkMa1tRaammxoNFLy8pSo1WJEIiljYyEGBz2zXiO7dxdy5Mgg0aiQnGwrLzfhcPhxOjP3TmhoyEuRr5FK476Lp04t33RAAsXFevR6BUePvn9R20+XjdNoNMnJ8ekFyoS0dn19/ZLIuKeeeopvfetbPP3005es0eA1hCsm9kWjUSKRSMa5n8/no6WlhTVr1mC1Xr7GxKkYGhpiYGBgWSQhBUFgcnIyOQ2m0WiwWq0ZSamvVJ61FCQaiJY7zzo+9hGukc5OunVGy9no6px7458OsvHMBP31lfjCc5+jBm2U461z52GlOSEmHv8xzuF480dNTQ4OhyfFg2dqkVUiEVFVZUahkHD8+DA5OSo2bsymudmW9KeNSzvOHhM2bDCRl6clFhOQSsX85S99SKUiduwooKtrnLw8TYpUNMQnxlQqKQ6Hj8JCNVqtGKlUiscTo7/fM+tarrIym9FRL2Nj8aJybq4GjyfM2rWGRTWPxBtEUqXbdu3K5ZVXlr+O0tBQRFGRkQcffOuitp+aJzscjqRdhtlsnrHmTjSWL5WMGxgY4Pbbb+cHP/gBO3bsWPR+XqdY1bHvm9/8Jp/97Gex2+1XrOTjdAiCwMDAAAcPHuSxxx4jEokkybmioqJVEXfmQ4JcdLvdc3qvh8NRmpttSR+6I0cG0/L6Vqkk1NZaGB8PZqwgo9XKiMXIeOBDLpfQ0JDHmTMXrRj0ejmbN+fywgv9VFZmo1RGkUrldHZOMjl5cdp5wwZT8jhzczUpuVNtrQW73bfiHufzYc+nd3Po3jelPPag/G+U2mRJex6LxYJer09edwkyLhMrG4hfF9/4xjfo6OjgwQcfXFZlgcOHD3P//ffz7LPPAvC1r30NgM9//vPJ17zlLW/h/vvvZ+fOnUQiEXJzc5OWTVcwrhJyXAGEXCAQyCghi0QitLS0oNfrL3uycfr0KN//frw4edGAeXlxw+3ZPPatf+J7oU/wT/7/WJH3mAqRy4+138EOcYh3r1Vz00bDogm4qQiHwzQ3N2OxWFZU7jAxDWaz2XA6nWg0GiwWCzk5OTNurIlR5urq6nm7LC4VBEGgu7sbv99PVVXVJSFjAoFAkpybTQY0HA7T2NhIcXHxqimAOJ1Ourq6qKuru6SeGNMLlFqtNilvcv78eYAlk3Gf//zniUajfPe7371Kxi0Oqzoxm4pwOJwk5dJtRElIUFVXVy+p8L1UjI56+clPGvnRjxpXTHJx+/b8RenUV1fn4PX66OlZ3HGZTEpKS7NQKCTY7T66u8eXTI5JJCJqaow0No7PIH6Ki/UUF+txuYKcOeNApZJSX29FpZLR3+9alIyhSiXGbFbS37/472b6RNt8qKmxcP78BG53iLo6Kzabd0YCl5BQlEhEVFebaWub6Wm3Zo0as1nPqVOj1NdbOXFiBLNZRUmJEaVSwsREkJ6e+DnUamVotXFiz2hUcOLECGvXGunuduJ2hzGbVeTmatHp5IjFIjSauH+fyxWiqSm1YDkdUqmIbdvyUzpVZbL4/TgcjrFmjYFAIJLRpGh+vpaREU/Sh1Eshq1b8zh2LD1/iUyQ8KL493+/lvvua1jy/gRBwOPxJAuUEokkOTnu9XqXhYx77rnn+NrXvsbTTz+9pAma1zGumNgXjUYJh8MZNaKMj4/T0dGxaprnBEGgp6cHt9u9Ys1zHo+H0dFRHA5HUqpxvomd+TzsLhcSthIr0UDUF+ymzF+PVDQz/44JIkyTTiYF4+wbh2Owv5GNazXYdpfhDMy+3t5livLKqdm/22JTBN/TP8Ex4EAuF9PQYOWVVy7MiPFTY+nu3QW8/PIgNTUWmpsvxiGVSkJNTQ59fR5KS4288soger2cdeuy0GhkeL1henomCIWiaLUyNBo5arWUkhIDnZ1OfL4wWq2cc+fG0evl5OdrMRiUyGRiJBIxcrkYvz/C8ePDC9Yrtm/P5/TpEUKhi41HCW9ZpVJCVZU5I59ZhUKCRqPE6bxYBN6zJ49Dhy6kvY90oVJJASU///lbeMc7Spdlnwm7DLvdTjAYTPqzKxQKmpqa2LhxI0ajcdH7Hx4e5rbbbuO///u/ecMb3rAsx/w6w6qNfRcuXOBDH/oQHR0dnDx58jVDyE2FIAiMjIzw6KOP8uijj+L1enn729/Ovn37WLdu3aojExJDHYkJ8kyO78IF16sE3SBHjgzR0mKbNz9cu1aLxaKlpWUsbZJtPtnIhWAwKKiuNnP8+DB79xbxl7/0UV9vAYK0tbnx+2e/9xcX64nFhKRVgVotpb4+N6Wp8nJi5zfeweG3bUn+fSK3mQrl+hn2PEajEY1Gw8DAAPX19RmTcd/5znc4ceIEDz300LLXWA4cOMAzzzzDj3/8YwAefPBBjh49yne/+93kazZt2sQzzzxDYWEhAOvWrePo0aNX+n3jKiHHKifkXC4Xvb29rF27Ni3PHL/fT3NzMyUlJeTm5l6io5wfNpuNU6c6OXYsxs9/fmZZtXWLi/X8yy/+RvW6Yfa4DxFhBQqwngCWfgcNQpDbipXcUmlEKlne304gEKCpqYm1a9deUn+2REJrs9lwOBxJbzCz2YzL5aKnp4fa2tpllTtcyrEmpDwzXSAsF6bLVRkMBiYmJli/fv2q8dUbGxvj3Llzl5yMm46p19bAwAAikYiSkhIsFktGC4AEYrEY999/PxMTE/zwhz+8SsYtHqs2MZuOo0ePsmHDBmQyWVqeOe3t7YhEoiVJ/S4n/H4/J0820toKv/71ubQNptOBSARr1xrp6ZlI6/ViMTQ05GO3e+jpyWwizGpVs2aNEYlExPCwh97eyRVLQGprLQwNubHbZ5+uShhmA7S3O7BaNZSUGIhEYpw7N56Wr5tMJqayMmdB0mkhlJQY6OubXeZqKrZty6epaRSFQsKmTeY55Va0WhkeTzhZkDSZlHNKuuzYkY9er2ByMkggEHlVtjKCxxPC7Q4lJxS1WhkVFTmcPj3CjTeuIxiMEo3GGB720tc3mZQA3b27gFiMZJJbVpZFTo6aU6dGZhQntVoJeXlqurpmnuuppuv5+VqkUnFSnnMhJCQkE1hK0r3wexVy+PAgZ89+lNzc5fdgCwQCOBwOBgcH8Xq9FBQUkJubm9Khmgn+8pe/cP/99/P000+vmrXGFYgrJva1tbWRlZWFTqdLK5YlptBqampWxXo9FovR1taGTCZbUhNWJkhINSaULSwWCxaLJbkOTkhCrl+/ftUUb0ZGRujv76eurg65PD3pwExx0vkh9kp+O+tzb3L/iecjb5r1OQDlMSeBD7RTUqcnsr+SQc9M4m2PJcqhYzMfL8yKEPnzLxg5P0JZmZFoNDLnemXz5lxOnRpJmfreuNFER8fM6YnCQh2bN1sZGfHNiH0eTyhlOj9xn7/mmiJUKhnhcAyn009v72RSpnrjxmxyczW88EI/EG84qqoy09k5NmszVW2tgaammXF/794iXnopHr+kUjFbtuSm3TC1Y0cBR45cnPhbKTIO4k0u3d1+enruQS5ffvWkRAF4ZGQEu92OyWSioKCA7OzsRZHyo6Oj3HrrrXzjG9/g+uvn9nq9inmxamPfbbfdxr/8y7+wb98+Tpw4sWruzSsJu93OY489xsGDB3E6ndx4443cfPPNbNy48bKTc4nYrVAoWL9+/ZKPx+sNcfz4cHKC7tixoeSE2lSoVGIqKoxMTETp6Zk/r6qqyubMmcX7Sefmaqiqynm1qT5Kb+8YsZiYggIDINDbOzmjmXDv3kKiUYFXXhmkutrM+Hhg0T7iKwGZTEzlT95D05a4b9xQYTsGaUnKa2KxGMPDw3R1dSGTydDr9UlVj4Um3QRB4Ac/+AF/+9vfOHDgwIqsV64Scsu8U9EWAY4sYkv5VUJuOs6dO8ff//3fY7PZePvb387NN988JxkxOTlJW1sbFRUVS+pEWk709/djt9upqalBJpMRDkc5eLCTBx44mVH32Fy45ZMGfvTPX2GL+yS9sbXLcMSAL0R2n53N0QC3Fim4vcqIQrpyxd2E0fmGDRsuuwRRwhtsYGCAYDBISUkJ+fn5iyJQlhOCINDW1oZcLl+WBcJywO/3c+rUKdRqNYFAAJ1Ol5QBvVzm8Akyrr6+fsWS+0wgCALnzp0jEomwZs2apLRlOBxOdlCmU6AUBIGvfvWrDAwM8LOf/WzFJHjvuecennzySSwWC62trSvyHqsAqzYxS3ljQeDee+/lyJEj7Ny5k/3797Nnz55ZO7JCoRAtLS2YzeZVIwWSiMeVlZVJmZ4jRwZ54IGTPP54F5HI0rzatm7N5cSJhWOoTCZi40YdNluI0dH09PoLC7UUFcWP+cIF1yVPOrKzVZSUGBYkMKXSOLGm08kZHfWSk6NCrZYRDEY4c8Yxa9IX92TJXzZPlvmksyAu6Xj48CB1ddZ5zb7z87UMDXlSJgWKivQz5DRLS42YTEpOnBihoEA3qydCAmvWxL9DkQhUKhkmkxJBIEXmMitLSUNDHtFojPPnJ8nOVqFUSgmFokxMBHC7Q6xbl5UsTq5dGyc/L1yY/X2n+ytkZ6swmZRJr7q5oFZLkckkSZmYTKYPF4N167JYvz6LRx+9dcXeIxGPa2pqcLlc2O123G53UjI8XQ+sl156iS984Qs89dRTK9ZodzX2zcBlzf1+9KMf8cADD1BYWMi+ffu48cYbZ83rEqoRXq93TlmpS41LpfYxH/x+P3a7HZvNhiAI6HQ6xsbGqK6uXhXTgxDPjx0OBzU1NSuaM5wPnGVjYAsS0cw1x+f9/87/C3x+lq0uovJ/Gjn7Yy9ZRSqM99TQNZl6rHtyoxw6knrd5RqiiF/8FSPdA+zalcfRo4PzylgXF+sxGOIep4nXrVljSMpVA5hMKiorszl+fJitW/PmtcTQaKRUVVlob7dTU2NhcNBDVpYyJVarVFI2bTITCsWbVKRSMVqtnFhMwOMJYbN5KSkx4nIFaW8fQ62WUlVlTpFUnopt21KnucViETt3FqRl3VFRYaa9PR4jd+3K45VXVoaMA9i5s5iKCgv/8z/Xrdh7BINBTp8+TXl5OWKxGLvdztjYGEqlMlkATqdh1OFwcMstt/DVr36Vt7zlLSt2vK+D+LcqY9/jjz/OX/7yF/77v/+bNWvWvG4IualwOp08/vjjPProowwODvLmN7+Zd77znZdMBWoqotEozc3NSf/ZlYAgCLS3j3H06GBS6vLcudT8oKRETVaWgs5O95weddPjw0JYs8bwquWBb05VldxcDbm5WrRaGUqlFIlExMREkLNnnRgMCgoKtICIw4cHicVWwVjcNOgNCnJ+835G11qxFTtAlKpslrAgSshUTh3IiHugWpKTzVMhCAI/+clPeOaZZ3j00UdXrOnrqmTlMu9UtFmAlxexpfoqITcXxsfHkzfsCxcu8Ja3vIX9+/ezadMmxGIxP/3pTzEYDNx4442XnTyB9Ayzjx4d5IEHTvH7359dVHEyN1fDD59+ml9rP8zvwncs/mADYYx9dupDft6ZL+fOmixUsksTBCcmJmhvb6e6ujpjo/OVQiJJ3LhxI06nE5vNNqtU46VCLBajtbUVnU63agzqEwbVCRJVEIRkwc3hcKBQKJKThpdqSs3hcNDd3b3qyLhwODyjiSASiSRH6N1uN0ajMek7N72gJAgC//mf/0lnZ+ey61VPx4svvohWq+Xuu+9+rSZlsEoTs7kQDof561//ysGDBzl06BANDQ3s37+fa6+9FrlcTlNTE88++ywf+MAHMJvNl/twgXhHb29vLzU1NbPG48FBN//7v6f5+c+bGRvL3GcL4l3d80k16nRxj7LOTid2+/yyjKWlBnJztUSj8c7A5ZxiXyxEojiZdfToUNp+dCUlBoqKdIjF8UtcEASCwbh5eGLKa7mJnvkIuT17CmlpsVNRkcORI/NPetXXWxGLRZw+PZpM9MrLTZw9G58QKCjQUVSk49ix4eTzOp0Mt3t2iZeGhjzOnXOyaZOZo0eHCYWi7N5dwKlTo+Tmajh/Pp7IikRQUZFDTo6KF1+cWQQUiSA3V0txsR6LRU1v7+S8/jizTQ/o9XKKi/W0tjrm3G6qh9DUSYOVQGGhjoEBN7/85U3ceuvGFXmPuZpjYrEYk5OT2O12nE5nskBpNptnjduHDx/ms5/9LE8++eSKSuxdjX0zcNljnyAItLa2cuDAAZ566ilycnLYv38/b3/728nOzsbtdvO1r32N97///ZSVla2KtXFiCm3dunWrJh4PDQ3R3d2NSqUiFoul5DKXA4m1cSAQuGRF19POD7Bb8vCMxx8L7ecW72Pzb9w7yZpPP4dWkUvfsIK1/1BH88TFe9WuvCivHL64bjfroqiO/hbBPYZeL016w84FuVxCbq4atzvM+PjFpqGcHCUORwCtVkZ9fS6nT4/i8cQ95OaT616zxoBYLMJkUnHhgovRUW8yTk/3Xd29uxCNRsZzz52fdV8Gg4KiIh1r1xrx+yM8/3zvnOoAeXkKhodnNgEttOaIx/l44822bVZOnBhasWJvnHTU8vDDN7F7d/6KvEcwGKSxsZGysjJMJlPKc1N95wRBSMo6azSaGfcvp9PJLbfcwv/9v/+Xt7/97StyrAm8DuLfZYt9b3rTmxgZmdlc99WvfpV///d/57nnnsNgMLxuCbmpmJyc5IknnuDRRx+lu7ubG264gf3791NXV7ficSIcDiflnPPzV+beMBfsdl9S4vLo0UFOnRolEIig0UgoLdUwMRHhwoXUPDadXG7DhmzMZjUDA66MyDuVSorZrMZoVKBWy1CrZcRiApFIjFhMSN6rLt6yRICQjA2xmIAgxP+ORgViMYFoNJbcRzQa/2/iXzgcJRIRCIejBIPRjDzYpyO/SE/R797HX2pTSTOPx0NLSws1NTWzWhD5/f6kwoAgCJjNZvx+PxUVFfzyl7/k4MGD/OEPf1hRjiESiVBeXs7zzz9PQUEBDQ0N/OY3v6Gqqir5mu9973u0tLTwgx/8gIceeohHH32Uhx+euba5wrBChFy9AH9bxJaGq4RcOpicnOTJJ5/k0UcfpaurC6vVisvl4sCBA6vCVyLhYWcwGFi7du2CSeLgoJsf/vA0P/tZZsXJ939ZwZ67u/iQ7yeZHWA4iv68nUrPJHvkbvboJsk1abFYLJd0uslut9PT0zNn0fZSI+H3kOi0nRr8I5EIDocjKdVoMpmwWCwYjcYVLQIkunWys7MpLi5esffJBImCw3ya+D6fLxnYgGTBbaV8+Ox2O+fPn19R2ZtMce7cOYLBIJWVlfNeI7FYjImJiWSBUq1WEwwGKSoqIjc3l+985zucPHmS3/72t5fEE6y3t5d3vOMdr9WkDK6wouRURCIRXnrpJQ4cOMDf/vY3iouL6ejo4H//93/ZvXv35T68jD3s/P4wv/tdO9/73kna2uYvWk1Fba1lTrnFnBwVGzdm09xsw+UKzXheLI5PWRkMUny+IIODflyu2TsQVwM2bDDh94fp789sSs9gUFBRkY3RqGRiIohYDAaDnDNnxhgachOJLM+lLRLFicCpyZ5YHJegCoWi9PW5FiREAa6/vpijR4fxei8SbBs3Ghgd9VFRYeH48eGUJE0mE8+atInFsGtXIWNjfkKhaFI+Ei7KgpWVZdHbO0k4HKOhIQ+xWMTZs86UYmgCtbUWlEopHR0OjEYlfX0uqqqyAMmshdbaWjNNTTMJO7VayoYN2XOSl6WlcfnV6bKVK4E9ewppbbXT3f1xlMrlX+8lPFzTaY5JFCgTawW1Wk0kEqG2tpbjx49z33338Yc//OGSrH+uxr4UrKrYl2hyPHDgAE888QQKhYLR0VHe85738I//+I+rgoxLeE5XVVWh0+ku9+EAcX8im802RaUlnMxl/H5/kpzT6XSX5Bwm5MDkcvklJVG7A+1UBRoQi1Iv64FYAUWTaTSofOMoop+3UF+fQ/+ghdJP1nNsMp63NuRGOf7qhFy2Joah6WFy1T6amkZS4tlcWLfOgEQi5uzZ1CkJrVZMTU0u7e0zY9NcjTBbt+Zit/uwWrUpU/AJIk6plJCfr6OnZwKDQUFNjYVQKDorubdmjYHCQj1nz45RVmbi5ZcHyM9XUlRk4sSJ4Rm+SGJxnFwMBGZ6EM1XPN65s5DDh0eoqzPT1mab4Ru7nKipsTA+Du3td6/ItRcKhTh9+vSsZNxsr02opvj9frKysrDZbGzfvh2fz8ett97KP/3TP7F///5lP87Z8BqPf6su9rW0tPDGN74x6Zs5MDBAfn4+x44dWzWWO5cTHo+Hp59+mgMHDtDe3s7111/P/v37aWhoWHZyLkGiX2rbnLkQCkVpbBzlyJHB5D+dToJCAV1dXkKhGCaTMkWeH+L34KoqMwaDgp6eiRk+3RBXBTGZFEilUYxGLTKZlFhMwO+P4HIFcTj8SaWOlYZIBAqFFIVCglwuQaGQvPr/UjQaaZIMVKtlqFRSlEpp8jUKhRS5XIJMJkYqFSe9UCUSEYUbcnjLnsLk+yxExk1HKBTiwoULfOxjH2NoaIhYLMYvf/lL9u7du+JrlqeffppPf/rTRKNR7rnnHr74xS/ypS99ia1bt3LzzTcTCAR473vfy+nTpzGZTDz00EOUli6PF+plxAoRcnUC/GURW2ZfJeQyQSAQ4H3vex9erxe1Wk1HRwfXXntt8oZ9OaRLAoEAzc3NFBUVkZeXl9G2ieLkAw+cXLCjzpSj5Ft/OsHH5L/AzwIm2JEYqp4Rqrwe9uUqeF+tkWz1xUKpIAi43e7k2G46xuBLxeDgIMPDw9TW1l4SkmEhJJJ9QRAW1LCOxWLJ6abJycmk/FJ2dvayLhIuZ7fOXPB6vTQ3N1NVVZW27E0oFEoW3AKBQFKq0WAwLEtgS5Bx9fX1q+JaAuju7sbv91NVVZXRZxQEAa/Xy8MPP8wPf/hDIpEIIpGIhx9+OKVDZiXxGk/KYBUmZovB//7v//K9732P3bt3c+jQISoqKti/fz833HDDihHf8yEWi6XcQzO9F77wQh8PPHCKP/6xe8Hu6OpqCy0tqYRcYaGO4mI9p06NpBSEpFJYu9aA1arD6w1z7tw4bvdMom41Q6uVU1WVk7Yfy3RIpWI2bcrBYtEwMuLG7Q4jkYjRamVoNDIikQgul49QSMLwsAefLzOCcufOfA4fjh+bQiGhoSGPcDg25/Hm5mrIz9eh0cgIBCKMjnopLNTR2DiKwaBEq5Wh14tQqSSMjERmyLkAmM3qGUSfyaRk7VojSqV0VkmVtWsNycm4RIHwLW8pZXzcnyK1VVCgY+1aQ0pCm/C1m4rqajMSiYjGxovXYk6OKunNMx1SqYjq6hxOn04l7OrqLDQ22mZML6wUKitz2LEjn//5n+WXwBofH6ezs5P6+vqMp+NDoRCnTp3iy1/+MgMDA4RCIb75zW9y6623XpL1/NXYl4JVG/tOnTrFXXfdxbXXXktTUxNyuZybb76Zffv2kZube1nIuYQX2mrxsEtMofn9/hkNhglEo9EkOefxeFa80TDRrLqScmDzodF5N7skB2c8njcxxIiwQL7uDcGNj4DDj8EgoajYjOJt2zgZs7DJHKX1uASDOkbphScQu0bmtKTIz9eRl6dBpYpLS9tsPjyeEOPjfrRaOUajEr1ehk4XQybT8OKLs8eDDRuy6ey8qBAQn6gvIhqN0d4+U656KiG2fn0W/f2T7N5dREfHGE6nPzlBr9XKqKmxMDERTDZJ1dTE11tTS0UFBTrWrDFw4sRwisfqXL53AFu3mjl50p6yH4NBQTAYVyno7R3H51uYwFwK9uwpYfv2Qr7ylV3Lvu8EGbd+/fqMm8Oj0ShOp5PPfe5zHD9+HIlEws0338z9999/ycj913j8W/Wx7+qE3Nzw+/08++yzHDhwgMbGRt7whjewf/9+du7cueS1YaLJvLy8fEES/XKit3eCI0cGOXFigPPnnTQ1OcjKktPV5aa62oJKJcVu9yOVitBo5MjlEkQiCIdj+HxhJiaCTEwEEAQBiURArVa8SnBJU8gwmSyVGLv4/xeJsNkItItEWeK5ma+b7b1WGom65WKU2A4cOMCPf/xjPvKRj/Dss8/S2NjIRz/6UT7+8Y+v0NG+brFChFytAM8tYsvcq4RcuhgdHeVd73oXd955Jx/96EeB+A37ueee48CBA5w+fZq9e/cmb9iXYurL7XZz5syZZfFC+9vf+nnggZM8/fTsxcmPf1fCoTfdRHO0dubG0RjqvjEq3C6uUQXYqbBx3bb0p9CmGoNLpdI5NXUXA0EQ6O3tZXJykurq6lXh9xCLxThz5gwqlYp169ZlTKBMTExgs9lwOp1oNBosFktaBqHzIRQK0djYSElJCVarddH7WU4kOkyWIi+aMLu22WxJLxmLxYLJZFoUmWmz2ejt7V1VZFxPTw8+ny9jMm4qEnrVTz75JLfccgtPP/00g4OD3HDDDXzyk59MmrmuBF7jSRlcAYnZfIhGo3zuc59jaGiIn/70p0kZqhMnTvDII4/w3HPPsW7dOm6++Wbe9ra3XZJkPlFoMxqNS5bV7ekZ5wc/OM2DD7bMOuFWWZmTMk23fn0W2dmqZMe2SiWlrMyEVitldHSSwcHArB3bVyJ27iygqWk0Y8JsKnbtKsDlCqHXy1+dahNQqcBk0iOXSxCLRUgkIqRSMSIRRCLxZM7tDjEy4sXpnDlFplTGuxLFYhHbtxdw+rSNsTE/MpmYNWsMZGerkErFuFwh+vsnZ/W2y85WMTbmp7TUSE6OhMnJMJ2dLlQqKZs35/LKKwMphbzERFkCGzfGpVnOn5+Y0/NPpZIm/RhEIrj++hKOHBmivNxER8cYtbVWfL7wjOJjVVUO7e0OYnOoqGzcmI1WK0t6GiY+y2yId7DqaWm56I23eXMucrmEo0cH55QDWy5YLGpsNh/PP38nO3YsrwRkYkJoMWTcVLS0tPCRj3yEj370o5w6dYojR46wefNmPvjBD7J3795lPOJUXI19KVh1sQ/injv/+q//ykMPPcT69esRBIH+/n4OHjzI73//e2KxGO94xzt45zvfSWFh4YqTc4mcZmJigurq6svmnzwViZxGoVCkPYUWi8WSEv2JRkOr1UpWVtayNBqGQiGampooLCzMuFl1uXAu0MqmwI4ZU3I3ex7nifDNC+/g92fhiy8m/6yqMqB54xYGDLlMdstpCPyZ5heacDoD6HQyiosNGI1KBEFgcjJIf79rzmagysocRka8lJfrCQYDNDZOIgiwbVs+5845Z8Td/HwdQ0PxOJeVpaS6OgeXK0xj4+wT2Nu353H06MWmk717CxkfD2AwKHn55QFqasyo1XKam1PXF/GmHSmjo7PHM7NZzYYNJk6fHsHrjaRIL8+Gqio9HR0uoq8uyXbvLmJkxIfD4bkkUxm5uSaeeGI/lZXLq6aUyNlLS0uXRKh4PB7e9a538aY3vYlQKMSzzz6LyWTitttu40Mf+tAyHvFMvMbj36qPfVcJufQQDAb585//zCOPPMKJEyfYtWsX+/btm9NjfT4kPMUyaTJfLfB4Qhw/3ofNNobH40Iul2Kx5JCbm4NOp5pBfsnlErxeLy0tLWzatGnVTPGvJJZCxj3++ON897vf5amnnkqqgYXDYex2+6oZkngNYYUIuRoBnl7ElkVXCbl00dvbS3d3N2984xtnfT4YDPL8889z4MABjh07xs6dO9m3bx979+5dkcK9w+Hg3LlzVFdXL+t0wvnzE/zgB6d48MHW5GLVZJWx/bH1/NFwe/J1yj4HGyZcvCVLzAeqjRRnyWdIlSwG0zV1LRYLFotlURKTiSm0WCy2qAmKlcBySkIKgpC2Qeh8CAQCNDU1sW7dulWzMHO5XJw5cybtce90kPCSmUpmJsyu07lebTYbfX191NXVrRoy7vz583g8HjZt2rSkQtAvfvELHnvsMR5//PHkb83n8/HnP/+ZLVu2rKiXzms8KYMrIDGbD5FIhN/85je8973vnfUai8ViNDU18cgjj/DMM89QUFDAzTffzNvf/vY5JWaXgsT9qqSkZFllVtzuEL/6VSs/+MGplAmphOzgpk1mZDIx3d3jrFuXhUYjx+n00dU1viT9+dWOkhIDcrmYrq6ZU2PpoKBAx+iol0gkhlQqoqxMh1aroaXFNidxKZOJyc5WYTQq0enkqFRSZDIxgiAiFIricgUxm+XEYjFcLj/x0C4hEBAQiSRIpRcJu/g/ANGr16+Q/G8oFGNy0sPoaIDx8dTCZWVlDj5fOCmNWV1tTnq57dlTSDQqcPjw3IXA6SRZfb0Vh8NPZWU2bneI5mZ70p9nKlQqCXq9lNHRhYuFpaVGzGY1wWAkZWpuNiSmCq1WBdnZcjo7PTMkwFYCu3cXMjrqpalpeYt7CTKurq5uSRNCbW1t3HPPPTz00ENUVlYC8Xva8ePHiUaj7Nq1/JMNCVyNfSlYdbEP4NFHH+W6666btelREASGh4c5ePAgjz32GD6fj3e84x3s27eP0tLSZSfnYrEY7e3tiMViNmzYsCpymnA4THNzM2azedE5jSAIjI+PY7PZGB8fR6fTJS0NFtNEmfCcLisru+y2Ek3OO9kpeTzlsX/zf5F/Cfxbeju443GY4iGqUIh5wwd3IHH2MdHbTSwWQxDERCJi5HIZIpEIkYikr6tIFP8nCCASiZI+OwaDnJYWG1JpjPPnUye/s7NVrFtnTJni1mpleDxhysuzKCoycPjw4LzTZVMn1woKdGRnK9HrFeh0clpa7HM2sdTXZ3P69NxevQkYjYpXJ8bFvPBC/7yvrauz0NHhIBiMUVamw+EI4nSuvGrBxo3ZyGRqjhy5Y1n3Gw6HOX369JLJOJ/Px+2338573/tePvCBDyQf7+3t5eTJk9x6663Lcbhz4jUe/6742HcVM5HwWD9w4AAvv/wy27ZtY9++fUmP9fmQUHNY7rrt5YLf78dut2Oz2ZIeaFarNVlDSpCPS2mqv5Lg8/loampaFPn49NNP841vfIOnn356VU9NvoawgoTcHxax5dqrhNxKIBwO88ILL3Dw4EEOHTrE1q1bkzfs5Zj6GhgYYGRkhJqamhXzr/J4LhYnrR8upnHLtax3TnKtKsb7qwyUmS8WQFbKMDsYDCZv9pFIBLPZjMViSSuQRaNRzpw5g0ajWZHEeDEIh8M0NjauWMemz+dLSjUmgqPFYknqhc+1TXNz87JMWS4XJicnaW9vp6amZt5jXwoSZGbC7FoikSTP12zFvdHRUfr7+1cVGdfb24vL5ZpTHihd/OY3v+E3v/kNTzzxxGVZJL7GkzJ4HSVmgiBw5swZDhw4wJNPPkl2djb79+/nHe94x7IUxhJEfUVFxYqQfRD/DM8+e54HHjhJX98EWVlKjEYVPl8Yu93HuXPjC0pcvtYgl8dlIRcrb7hzZ8EM8kqjkVFdbSEQCNPcbJtzGmwuvOlNa/jb3/qxWjVkZSmRyyEWixAKRQiHRbjdEWw2/5yk0xveUITb7aGxcXzOKTGlUsLWrfm88soFtmzJo6lplOuuK+HkyZE5ZSITqKjIpr197NWJOyuhUBS/P0prq31eqcjaWgNNTQubocc9+3LQ6WS0ttpRqWRJ8lIqjceDUChGIBDG5QrhdPqpqbGiVkt54YU+QqFLQyLX1FjYv7+cf/qnncu2z8QaYalk3NmzZ7n77rv59a9/TXV19bIdX7q4GvtScMXfVG02G4899hgHDx5kfHycG2+8kX379rFhw4Yl5yDhcJiWlpZkM99qyGkSzTHL6YMjCAIulwubzcbY2BgqlSrZaJjONGBijbBaJhDO+puoC6WS+s+G38xbPc+mt4NmG9z5h5RfR02NCq/XQU/PBGazGpNJgUIBghAFxASDMD4exGabPUYVF+soKlLT1DSGxzP39HtDQx7d3RN4PCFCoSh79hTidAbS8t81mVQ4nX527izA7Q6i1So4dWqE4mI9IyMePJ6ZZN7GjQY6OhaOfVKpiKoqM7m5Gnp6JggEohgMCtRqGTKZGLEYIhGBQCCCyxViYiJAXp4GnU5Of7+bwcHM/HEXi717S3jLW9bzD/+wedn2mSDj1q5di9lsXvR+AoEAd9xxB7fddhsf/vCHl+34MsFrPP69rmLf6xHTPdZra2vZv38/b3zjG2esS+12Oz09PdTW1q4KienlxtR6bTgcRqfTMT4+Tm1t7VUybgH86U9/4qtf/SpPP/30qhmKeB1ghQi5agEeXcSW5VcJuZVGJBLh0KFDHDhwgBdeeIGamprkDTvTqS9BEOjq6koSX5dCflEQBAacfoqyZydGElIlSqWS9evXr1iSmBjbtdlsBAKBeY3BEx2bFouFoqKiFTmeTJFIXEtLS5e0iE4XoVAoOWkYCoWS50ur1SbPV0IScrUkrnCxg2iphbZMEQgEktdXNBolJycHs9mMVqvFZrPR399PfX39qpAHAujr60tKFi2FjDtw4AA/+clPeOqppy7Louk973kPL7zwAg6HA6vVype//GU++MEPXvLjWGG8LhMzQRA4e/YsBw4c4IknnkCr1XLzzTdz0003YbFYMo4Vdrud7u7uFSXqp6O318mhQ4M0NtpoabFx9qwTm8238IavUWzZksv58xOzykjOB4tFwdhYaE5yLDtbRUVFNmNjftrbF+6Oh3j3eSQSm9XvLQGxGEwmBWazGr1ehVwuIRKJ4feHUCiihMMitFp10phbJIJYDKLRGKFQlFAoSiAQIStLiVotw+MJzfB1mwvbtuXjdgcpLNTR2emkv9+V8vxspFxpqYbz571zEoQJrzmfL4xGI6etzTGnVOVUWK1q1q0zotMp8PsjvPjihbQ+w1JhNCrwesM0N3+I4mLDsuwzQcbV1tYuSjkhgZ6eHu68805+8YtfUF9fvyzHlgmuxr4ZeM3EPoCxsTEef/xxDh48yPDwMG9961t55zvfSUVFRcZrNr/fT3NzM2vWrFk1kvKJ7veVbo7xer2Mjo7icDiQy+VJcm62ZlSn08nZs2cv6RphIQwPDzMs/jh7lBd9RcZiJnIm04tzAHzhb/B4V/LPPXuUiEQhXnpp/vu4XC7GalWTna1Go5EjEkEwGEGnEzE66iUrS4dMJklOksdi8XMeDsdejX1hxGIxBoMcmUzCoUMX8PsXluNWq2WoVFK2bs1ldNQ3Q9ayvt5Kc7MtZT2gVkvQaKTY7bNPhuv1cioq4sVKkQjGxwN0ds7uHTcVGo2UiooccnLUuFxBTp4cSfGgW0mUllp45plbKShYntwq0dRbUlKyJAI8GAzyd3/3d7ztbW/jE5/4xGUh918H8e91G/tej4hGo7zyyiscPHiQ559/PsVj/Ze//CXhcJiPfexjq6aheyXhcDhob29Ho9EQCoXIzs7GYrGg1+tXRSPRcsPv99PY2LioWuoLL7zAl770JZ566qlVs7Z7nWCFCLlNAjyyiC0rrxJylxLRaJTDhw9z8OBB/vznP7Nx40b279/Pm9/85gUnU6LRKK2trWg0mox9x1YKl4v4ms0Y3Gq1YjAYCAaDNDc3ryovtISG8uWaQotEIsnz5fV6MZlMaDSapCH8auleGRsb49y5c9TV1S3LJOliEQ6HcTgc2O12JicnEQSBiooKsrOzV4VEUH9/P+Pj40sm4x5//HG+973v8dRTT2EwLE+x9Cpmxes+MRMEgZ6enqTvjlwu56abbmLfvn3k5eUtGM/6+/ux2WzU1tZe1oRmbMzPyZPDtLbaOXmyj74+Fx4P9PZOvqZlK6fCatVgtappbrYv/OIpmG1KbjYUFelZs0bPhQvupFzkdBgMCtzuELt2FXLoUHrkUmGhErNZxeRklJ4eF1lZCqqqLJw9O5YWyZqVpaCuzspLL11ALpegUsWLjnGT8rhZuEwWJ/YkEjEWiwq73U9b2xhO50zSTCwWsXmzNekDp1CIyM5WMzTkTXndhg3ZWCxqhoc99PZOsm1bHj09E4yMeGfsMwGRKD6hZzKpGR314PfHScWE5Ga638VSsWNHAXK5mD/+cXkku1wuF21tbUsm4/r6+rjjjjv48Y9/TENDw7Ic21XMitd97IO4vOoTTzzBwYMH6e3t5YYbbmD//v3U1tYuuIabnJykra2NysrKVbNOGxsbo6ur65JLb/l8vmSjoUgkSloaKJVKRkZG6O/vp7a29rLmD1PR39+Pw+FAWR5ja/SalOfWT3bRHVuf1n5kkwHCN/wOvPGpssrKEB5PcEaTx1zIzpZTUKAiEhHT1RXPabZsycXlCqXdAPPWt5Zy4sQwLlcItVqKSiVDqZSiVMZjn1wuTja26PVyQERHx9icMXx6Q0pdnYnGxv+fvTsPa/LM+gf+TcK+b0nYQQUUkM1da9W6tiokuHVvp6sz79TuM53+7Ez3dbpPZ2qnm93stCTghtVaa622VauyyqIo+5IEwhICWZ/n9wdNKgpISEIinM91vddbMXlyw+Bznvs+931O/wRbaKg34uICoVLpUFbWismT+6oslJYO/exh2rjS3a3H+fPtSE0V4Kef+nrCzpwZhl9/bR7y/bYQG+uP6Gg+vvkm2ybXMxgMKCgosDoZp9PpcPvtt2PhwoV46KGHnGItaYyi2DdOXdhj/auvvoK3tzceeughiESiMd9HzbQpxrSpfqD1WoFAgICAgDFx7zGVx05MTLT4+ezIkSP429/+hvz8fIf1uR3H7JSQS2aBL0fwzjRKyDkKwzA4efIkcnJysG/fPkycOBEikQjXXnvtJRl2U5IpPDzcrr2cLGHasWnLUiUjwTAM2traIJfL0dHRAb1ej9jYWERHRztF8sRUPsVZGpoyDIO6ujrU1NTA1dUVAQEBEAgECAoKGpUTl4NRKBSorq5Genq63cqwWqq5uRkNDQ2Ijo5GW1sbOjs7re5tYa36+nq0tbUhNTXVqt/vPXv24LXXXkN+fj7Vq7Y/mphdgGVZ1NfXm/vuGI1GZGZmQiwWIyoqqt9DuumUnV6vR1JSklPc0019fFxcXDBhwiQUFyvw669NOHu2HbW1neju1qG7W4f6etWwTi9dibhcDq66KgI//dQw7FKTF/aSG66EhCDw+V44e7b/ycQZM8Jw4kQzIiJ8By0/5erKRXJyCLy93XDuXPugCSxXVy6mTQtFV5f2souTEycGwNfXDd3dOpw71zHo65KTQ9DU1I2YGD+0tKjh5sZDRIQvOBygubkb1dV9i5ReXi6IjPTFmTPtmD1biGPHZHB15WLqVD68vFxRVdUOmUwNDqfvxF1zswp1dQN/v35+bpgyJRg8HhdnzijNv3tXXRWJggJZv34/Li5cTJ0actm+c9aaPj0U99yTgVtvnWr1tUwnctLS0qw6/dLY2Ij169fj3Xffxdy5tiujSQZEse8iKpUK+fn5kEqlqKysxOLFiyEWizFjxoxL4ptcLkd1dTVSU1OtSkDbUlNTExobG5GWlubQZ/ULq1r09vaCw+EgJSXFKap9mDYgqdVqc0n5UuVazOLtNb/mxu5t+J/+xmFfM+ybs1D87Ud4eHCg0TTCYGCQkBCEM2cGPiWWkBAEgcALMpl6yP6vU6YEw9/fHSdPNsNgGPyfoLs7D1On8uHiwsWxY02Dvs7b2wVBQV6IivJFT48BdXWdmDgxAB4ermhv78XZs0pzueT58yNx5EgDkpICUFbWAQCIjw9EaKgPZDK1+XtLSAiCt7crCgpkA34mj8dBUlII/P3d0dioMsfXpKQQqNV61Nb2TwqaPtee5s+PwU03TcXttydZfS2DwYDCwkJERUVZtdFYr9fjrrvuwowZM/DYY4+NiQVxJ0axbxxjWRZPPvkkzpw5g4cffhjbt28391gXiURYuXKl3U6WO0prayvOnTs36KZ6hmGgVCohl8vR2dkJf39/8/qjM8ztLaXRaFBYWDiiZNzRo0fx8MMPY9euXU5TyW2coYQcKCF3CYZhUFxcjJycHHzzzTcIDw+HSCTCqlWrcP78eTz22GPYtm3bqJQ6HA7Twogz7djs7OzE6dOnERMTA5VKZZPG4NZyxvIppoBp2kXa0dEBhUIBpVIJLy8vCAQChISEjGppRrlcjtraWqfqz9bc3IympiakpaWZfxYX97Zwd3cfsnyOrdXX16O1tXVYu6qHQvWqRx1NzAbBsiyam5uRm5uLvLw8qNVqrFq1CiKRCHw+HzfffDMeeeQRLFq0yCkWDwwGA4qLixEcHIyYmJgBX1NX14mjR5tw7FgjKira0N2tg4eHC/R6BgpFD2prOwct3XilmTqVj9bWniFPa11opCezuFwOUlL6klSnTyuQkiIw765PSgox97QJDPTA5MnBMBoZlJf3/ewtMWVKEPz9PYZcnJwxIwwlJXLMmhWOX35puOR1vr6u8PPzQGOjClddFYmyslbExvr3W0wMCHDHpEmBcHfnorNTBT8/b7AsDwzDoqystd+4Z8wIRUeHdsDSnDExfoiM9INKpUN5eWu/U5phYT4QCr0GTbr5+rpBIPAaMrFoDS8vV3h48FBevhE+PtbFR1sl45qbm7Fu3Tq8+eabWLhw4eXfQKxFsW8IPT092Lt3L6RSKYqLi7FgwQKIxWLMnj0bL730EjQaDZ588kmneC5mWRbV1dXo6upCSkqKQzfwXTimqqoq9PT0IDg4eMgS/aM5poqKCgDAlClTzJ9f3vMrpusXmV/3uuYhPNL7+vAvrDci8fED8G1T4vjxSgD9E0tublwkJ/Ph6ely2RPUA+HzPTF5cvCgJ7oBQCDwAofDQWSkL+rruwY8WT5nTgSOHm1ERoYQRUVyXHVV3yl207KPuzsPcXGBCAz0gFKpgre3K9zdPcCyQHV1B5qaus3XmjAhACEhngOeaOuL9UFgGKCysg2dnb+XunRz42LWrHD8/HPjoP1+h+rjagtpaRH45pu18Pe37rSmKRkXGRmJ0NBQq66zceNGTJkyBf/4xz+c4nl6jKPYN46dPHkSW7duxZtvvmmOlRf2WM/Pz0dwcDBEIpHNeqw7klwuR01NzbA31bMsi46ODshkMqdYr7WUKRk3ZcoUixOrJ0+exH333YcdO3YgNjbWLuMjl2WnhFwSC3w+gndOp4Scs2FZFmVlZZBIJNi2bRtUKhXuvfde3HnnnU6xeG4qVeJMSSZTs9QLd5FenDwZ7WSTKTg5U/kUmUxmTnxdHDBZlkV3dzfkcjlaW1vh6upqTjbZc/zNzc3m3bbOsOgA9O0Abm5uRnp6+pAPBmq1GgqFAgpFX/kUPp8PgUBgl38XDQ0NUCgUVifjTPWq9+zZ49CTreMMTcyGSS6XIy8vD19++SUqKiqwZMkSPPLII5g8ebLDFxA0Gs2IyiGr1Tr8+mszjh5txNGjTSgulsHf3wPBwZ7gcjlQqbSore3qt6B0JfH3d0dCQtCwykCN5JTcxWJi/CAQeMPdvS+B5efnht5e42/951ptkuwMDnbH5MlBqKhoH7Bf3tVXR+Hw4XrExweCw+H0O6UwZ044jh5t+m2s/qit7QSHA8yfH9VvYRIAfHx4SE0VoLGx55Jd/KmpAuj1xn6n9lxduUhKCoGPjxvq67sGLVk2b14ESkoUUKmGTkiGhfnAaGTs0hdx5swwTJoUiA8/XGXVdUy9blNTU60qjyeXy7FmzRr885//xJIlS6waExk2in3DpNFosH//fnz99df4/vvvERUVhccffxzXXHONw3sXMwyDiooKcDgcTJ482Sl2szMMg7KyMri6uiIhIcH8fHBhiX5Tom60+tcwDIPS0lJ4eXkN2FqiTCnCDN53AIDD+vlY0H3Ysg84VIf5276HwaCHi0tf7zeDwQijkUVpqQJqtf7y17gMNzcu0tJC0N6uH3ATyJQpwaip6YC7uwuSkkL6bbCZPTvcfHqOw+kr21hd3Yn0dAHq6lT9En0cDpCeHgx/f2/88ENdv8+IiPBFVJQfjh9v7HcCf9KkAISH+0Cp1KC8vG3AZNvkyUHQ6xmcP98x5PfJ43GQni7EyZMtw/mxWEQo9MbcubH44ouVVl3HaDSisLAQ4eHhVpU0MxqNuO+++xAZGYnnnnvO4c/S4wTFPiv85S9/wa5du+Dm5oZJkybh448/HlMnymzdY92RZDIZ6urqRryp/uL1Wk9PT/N6rbOsC17ImmRcUVERNm7ciNzcXMTFDa9kNbELOyXkEllg6wjeOYcScs7qk08+wfvvv4+XX34Zhw4dwq5du+Dp6QmRSITMzEwIhcJRv2E7S6mSCw1nTBcnmy7XGNwWYzKdrnKWYGJKMl144msovb295l4NLMvaJdnU2NiIlpaWYY9pNJjGdLlk3MW0Wq05OafVahESEgI+n2+TRYDGxkbIZDKkpaVZtXPo8OHDePzxx6le9eijiZkFSktLceutt+Lpp59GW1sbpFIpmpqasGLFCmRnZzukdGV3dzdKS0tt0geUZVmUl7f9lqBrxLFjTaiqakdoqDciInzh5eUKnc4AmawvSTP045LzuOqqSJw40QStduhkmzX9ywIC3BEQ4GHuS5OWJkBHhwaBgZ5gWRZqtR6BgR5wd+eBZYGeHj0UCjWam7thNFr+ea6uHCQnB6Kry4jz5/snzEyLjy4uXMyd23cqYNq00EvKeU2bFopTp1rM421sVKG7W4eEBG/U1Gj6nfYD+k78ubhwUVzcd7ItJMQT8fFBMBguf+pPIPBCZKSf+fOGIyEhCI2NXVCrDcN+z3DMmhWGv/99PhYvjh3xNWyVjGttbcWaNWvw3HPP4dprrx3xdYjFKPZZoLu7GzfeeCNmzJiB2bNnQyqV4ueff8bs2bMhEomwcOHCUZ97GQwGlJSUICAgALGxsU6xUGg0GlFcXIzAwMAhd5gbjUZzSwOVSoXAwEBz/xpbP0MYjUYUFRUhJCQE0dHRA77mdM9RzNT3bQZQs17w6+gCAwuf6Td+ARypglDohcBATwQHe/5WBrwLwcGe8PJyBZfLhVZrQEeHBg0NnejtHdkGmLg4X/j4uKO4uLVfYuzCxNu0aUI0NXWDx+NCpdKiq+v3+DRvXgR+/rkv1guF3uDzPVFa2orERF+o1Sy4XB7q67vMm2gEAi/Exwfh+PEm6PUM3N15SE7mw8ODh5qazn6n5y7m4sL57dmiadgbfry8XH8rGT1w2c+Rmjs3EvffPwtZWZNGfA1bJeMYhsGDDz6IgIAAvPLKK06RTB8nKPZZ4dtvv8XixYvh4uKCxx57DADw8ssvO3hU9mFtj3VHMq13pqen22Qdr28epzavP5oOBwgEAqdYd9ZqtSgoKBjRWkBpaSnuvvtu5OTkYPLkyXYaIRkmOyXkprDAhyN453xKyDmjN998Ez/++CM+//xzcwLEVC7EdMN2cXEx992x9w3bWUuV1NTUoLOz0+IxmRqDy+Vy8Hg8c3LOw8PD6nHV1NSgvb0dqampTvFzAvoai5v6jo1kTDqdzhwcbVUOpr6+3nziy1l+Tg0NDZDL5VaPyWAwoK2tDQqFAiqVCgEBAeDz+SOqk93U1GROWlozJlO96t27dyMyMnLE1yEjQhOzYTp58iTuuecebNu2DVOmTDF/vbOzE7t27YJUKkV1dTWWLVsGsVhs9YnR4TCVHk5JSbEqKTAUhaIHx441mktdnjolg0ZjgJeXC2Ji/BEY6AEOh4POTg1qazuhUlm/E94eIiM9wOO5obZ24JNbwMhPyXl48DBpUiBOn+4rT3nVVZE4dqxv8W3WrDD8+mszZs4MR1OTCg0N/fus8XgchIZ6IyTECz4+buBwOOYFy5aW7mH9PCdO9IaXlyvKyjrAMH3jiY0NQEVF3wm2jAwB/Pw8YDT2fV8sy4Jh+pKIF55UYxgjmpo6UFPTC39/d3A4QEeHFnFxgb/18mkx9/9pbe1FZWXbsJKyc+aEo7y8bUQnLdPT+SgqUtgs+evqykVYmDu2bZsPobBvp6ulk2m1Wo3i4mKkpKTAx8dnxGNpb2/HmjVr8MQTTyAzM3PE1yEjQrFvmHp7e7F48WJs2rQJN910k/nrBoMBP/74I3JycnD48GFkZGRAJBJh8eLFNpmzDEWr1aKoqAhRUVFOs4lLp9OhqKgIkZGRFo2JYRi0t7eb+437+fmZS2RZ+wyh1+vNZQUvN6YK5SpM4/0AAEjtKkKJMdWyD6tuxZTHv4ZSpoZc3mNOjsXFBcLX123APmvBwZ4QCLzg7+8OV1cuDAYWKpUWMpkaCsXl+9yGhLghMtIL5851Q6Xq27hhOvEN9PUvnT8/Gl1dfafJWRZgGBY8HgcsywDggsPp+5rB0IPjx/tO3k2fHoqTJ1sQEOCOqVP5OHGiGQEBHpg4MQAajRHl5a3o7b38RpG4uEBwOBiyV95gBAIvMIwBra2WlbceSmpqMF59NRkREULw+XyLnxtNyd3Q0FCEh4ePeBwMw+Cvf/0rXFxc8Oabb1IybnRR7LORvLw8SCQSfPHFF44eit1Z0mPd0Wy1ZjYU03qtQqEAh8MxJ+fs/ewzEK1Wi8LCQsTHxyMoKMii95aXl+OOO+7Al19+ieTkZDuNkFjATgm5ySzw3gjeeQ0l5JxRfX09wsPDB73BsSyLhoYG8w3bYDDY7YZ9YamSC+vhOxLLsqisrITRaERiYqJVD5kajcZ8s2cYZsQnwUy9DLRarUNOcAw2purqanR3d5sbi1vrwnIwarUaQUFB5h2nw/3dqK2tNSctneHnBNjvwYJhGHR0dEAul6O9vR3e3t7mRYDLnZ409bGz9LTexU6cOIFNmzZh586dg/a9InZFE7Nh6unpQXd395DlVFUqFfbs2QOJRILKykosXrwYIpEIM2fOtPn9pKWlBXV1daNeelinM6KwUGY+RXf0aBNksr6eMBwOEBLijujoAHh5uUKjMaK5ufuSJJSjeHm5ID1daN4ZPxBLT8lxuX0nzU6caIGrKxczZ4b1u35amgBFRX0nytzceJg5MwylpXJ0dg5vkS0oyANCoTf8/Nzh5saDwcBApdJBoVBDJutfzlEg8EBoqBvOn1fD09MVABcKRQ/mzo3AmTNKtLX1LXByOH1JQw6Hg59/bkBqqgA8HlBSIsekSUEoL2/DVVdFoq6uC9HRvtBqjXB15aGqqt2iEpLBwZ6YODFgWCVDhzJnThiOHrXuGiYZGUIsWRKLv/xlGhQKBVpbW8HhcMzPV6bS4oOxVTKus7MTa9euxaOPPoo1a9aM+DpkxCj2WaC2tnbIZzSj0YiffvoJEokEBw8eRHJyMkQiEZYtW2bzUulqtRolJSVISEiwePHJXnp7e1FUVIT4+Hireu6wLIvOzk7IZDIolUr4+PiYn8st3eWv0WhQVFSEiRMnDqvPe4n6J8w2LAcA3KX+AB/p7rJ4/Lw3voPxg58A9PVk8/BwMW/ESEsToKdHP+zklKenC8LCfBAU5AEPDxfzyXKlshdNTd39+pJ6evIQH+8DhUKLlhYN0tMFKCiQY8aMMLi6cvvF9LQ0gbmU5qRJAQgN9UZZmRx6PeDv74GQEE+cO9eBjAwB1Go9vL3d0NzcPWCZzEF/DjwO5s2LxNGjjf3GaamYGF+0t/c/3TdS/v7uWLcuBa++epW5aopGo0FwcDD4fD78/f2HnCubknFCoRAREREjHgfDMHjiiSeg0Wjwn//8x2nm2uMIxT4byczMxPXXX49bbrnF0UMZVQP1WF+9ejVEIhEmTpzo0PVYazf6j4RGo4FCoYBcLofRaDTPJ+y1UfZCOp0OBQUFI0rGnT17Frfeeis+++wzpKWl2WmExEJ2SsglsMB/RvDOZZSQu9KxLIuWlhbzDbu7uxurVq2CSCQasIa9JUylSgIDAxETE+MUybjL1ei3hk6nM9/sTSfBhEIhvL29h/ycvhJk5eDxeP16GTgSy7I4e/Ys9Ho9kpKS7DImhmGgVCohl8vR2dlp3nEaFBQ0aICurq6GSqWyWYLQFurr69Ha2mr3B4uB+vTx+fwBT2faKhlXWFiIP/7xj1Sv2rFoYmYnvb292Lt3LyQSCYqKirBw4UKIRCLMnTvXqn83LMuaNw6kpKQ4RUndmpoO7NlTip9+qkNVlRZlZf17qPj4uCEmxg8BAR5gWRbt7RrU1HQOa4e5PcyaFY6KitYBF7ksPSV31VUR+OmnRoSEeEIo9DafkrtQeLhPv5JW3t48pKUJfzttOIJ6lb/x9HRBaKg3goI84enZ93vQ06OHSqWFvz8Per0enZ0G1NX1IiEhEBUVSsTG+v92mq61X3mvvnG5IjVVgKAgd+j1LBSKHpSVtUKrtXyMs2aFo6pKOWCfu5GYPz8SR440XP6FlzFvXgT+/e9rkZDw+8RVo9GYN/Po9XpzWWdfX99+zyemZNzUqVPh6+s74jGoVCqsW7cO9913H66//nqrvh8yYhT77IRhGBw/fhw5OTnYv38/4uPjIRaLsWLFCquS2ADQ0dGB8vJyqxPitqRSqVBaWoqkpCT4+/vb7Losy0KlUpmfyz08PMxVUy63ac6UtLS0fNUZ5bVI5x3Ge9p78ceeEeym7tYCq/4FtPZt0jHFRxMOB5g2TYDm5p4hyzxeDpd74cnyvlKYOp0R7e098PbmwWAwoLNTC4bhIjraH7/80gxvbxekp4fi558bMGtW/9jH5XKQksJHePcT6AAAdsxJREFUWJg3uFwuOjq0qKhoHVH8mjjRH25uLuYT6tZKSxPg9GkFDAbrbkNz5kTiqacW4Oqrf0+mmUqnKhQKdHV1wd/f31w15cLnVIZhUFRUBD6fb1UlE5Zl8fTTT0OhUOCDDz5wmio04wzFvstYunQpWlouLa/+/PPPQyQSmf/7xIkTyM3NdYq1NUcy9VjPzc2FUqnEypUrIRKJRr3H+oXVyRy1jqfT6dDa2gqZTAatVmtOzllTuWuozyooKEBcXJzFG4Gqq6tx4403YuvWrZg2bZpNx0WsYqeEXDwLvD2Cd66khNxYo1AozDfstrY2rFy5EllZWRafbnPGUiV6vR7FxcUQCASIioqy+2eZFo96e3sHbQxuNBpRWloKX19fTJgwwSkeGByRIDTtODU1ZfX29gafzzc3ZWVZFufOnYNGo3GaE4TA77t8RqP03cV6e3vNOyiNRqO5FKhKpUJjY6PVNbmpXrXToInZKNBqtdi/fz8kEglOnDiBuXPnIjs7G1dddZVFvTxNJ7AZhsGUKVOc4l5l6jFgOu3M4/GgUulw/HiTudTlr782XZL84nI5iIz0RWioN9zdXdDTo0dTUzeam0e+SGeJyEhf+Pq6obz80kWz4Z6Su/rqKBw+XI+EhCCoVLpBxz5YMik01BsTJgTg6NFGm/fj43I5EAq9kZQUhNraDri5sXBz46K8XGXupRcS4onW1t/Lgrm5cXHVVVHgcoEDB2pH9LmBgR5ISAi6pF+dtTgcYObMcBw/PvLr8ngcLFwYg1271g/6GtNJe4VCge7ubgQGBoLP58Pd3R0lJSVWJ+PUajXWr1+Pu+66C7feeuuIr0OsRrFvFDAMg4KCAkgkEuzduxdRUVEQiURYuXKlxckrmUyG2tpapKamOqQs1EBMZaNTU1NtfhLwYhf2r3FxcTEn5y4+Id/V1YXTp0+P6F5VrD6EOYaVOGXIwHTVqZENNLcA+PtOAEB8fOCAJ+Lc3ftOi5eUKEZUyvhyAgLcMXNmGNraumEw6KFWG9DdbYRM1pdgu7CHnMmMGaEICvLEt99Wj+gzTSfPf/21eUSbWIZiTX9bkxUr4iGVigaddzMMY54rK5VKeHl5mTeylpWVISQkxKr1DZZl8eKLL6K2thZbt26lZJzjUOyz0tatW/Hee+/hwIEDdr/vX2mUSiV27NgBqVSK5uZmLF++3O491k3z0J6eHiQnJzvF3BjoX7mrp6fHXLnrcqeRh0On06GwsBATJ05ESEiIRe+tq6vD9ddfj/fffx+zZs2yahzE5uyYkHt9BO/MooTcWKZUKrFz505IpVI0Njaab9iXu5E6Y6kSU4IwJiYGQqFwVD97sMbgvr6+o5YgHC6GYXD69Gl4eXk57Ej7hSfB2tra4OLiApZl4ebmhqlTpzpF0hLoC5ZKpdIpSmeaEsD19fXo7u5GeHg4hEKhRaVALzRa9ar37t2LBx54AEajEXfffTf+9re/2e2zrmA0MRtlOp0OBw8ehFQqxU8//YRZs2ZBLBZj4cKFQ/ayMhqNKCkpgZ+fn9NtsLhc2WiGYXH6tALHjjWZS11WV3cO+Fp/f3dER/vB398dRiMLpbIXNTWdNl/gAgAXFy7mzAm/JFk2nFNypgWy2bPDUVwsH/K0X2ioN+Tynn6nBi80VI8dayQkBOHMGSW4XOC66ybh4MFa9PT0jTMszAPNzb/v/p82LRQMw0Ch6IVA4DWiscyYEYaamo5+ST5burhXn6VSUvi488403HtvxrBeb+rt1NzcDJlMhsDAQERERIyofBzQt9Flw4YNuOmmm3DXXZaXgxsuin3DQrFvlLEsi9LSUuTk5GDPnj3g8/kQiURYvXr1ZedztbW15jJUznAqHHBc2Wig715iSs6xLGvuX9Pb22tVgpBlgar2ZUjiHodvhwpajDDxef37QGnf5on4+ACcPdsx4Mv8/d2RksLH8eNN0OlGXtrxYi4uHAgE3mhq6saKFRNx9mwbzp///ZkjNNQDLS198S862hcCQV+1GTc3Hn76yfKT2NHRvvD1dR9xbBoOa06Je3q6YNOmOXjyybnDej3LslCr1ZDJZKirq4ObmxuioqLA5/MvW9Z5sOu9/vrrKC0txRdffGG3f8MU+4aFYp8V9u7di4cffhiHDh0aVing8Ww0eqyb2vLodDq7Vd2yBaPRaK7c1dXVZV6vDQgIsPhnodfrUVBQgAkTJlj8O9jU1IR169bhnXfewfz58y1673Dk5OTgqaeeQnl5OY4fP44ZMwbO5cTGxsLX1xc8Hg8uLi44ceKEzcdyhbJTQi6OBV4ZwTvXUkJuvOjs7MTu3bshlUpx/vx5LF26FGKxGOnp6f1uUo2Njaivr8fUqVOdplTJSMuC2MPFi0f+/v6IjY1FUFCQw5M6RqMRxcXFCAoKcppeYSzL4vTp0+jt7QWHwwHLsiPu02dLtbW16OjocOiR+4vJ5XLzzuSuri4oFApzKVA+n4/g4OBh7XY8c+YMbrvtNnz++edITbWwYbwFjEYjEhISsH//fkRGRmLmzJn48ssvkZSUZLfPvELRxMyBDAYDDh8+jJycHBw6dAgZGRkQi8VYvHhxvxMA7e3tqKqqQkREBMLDwx044t9ZmyCUydTmE3RHjzaisFA2aNKNx+MgJsYffL4XXF25UKv1aGjogkJhm8RPeroQDQ1d/RJJQ+1InzYtFCUlcsyeHYEjR+qH9RmTJ/uisnLoXnppaQL09hpw5oxy+IMfwowZfb3tliyJwfff12LSpED09hrQ2KjCzJkC/PqrHEKhOwICXKFU6uHi4gKFohdublxz4m44/PzckJzMt3oH/3AEBXnAx8cVdXWW9yVcuDAan3+ehaCg4S8omnpDJSYmgsPhmDfzuLq6DnpCZSAajQY33ngjsrOzsXHjRrstGlDsGzaKfQ7EsiwqKiogkUiwe/du+Pn5ISsrC5mZmeDz+eZ/H6ZKHzwez+kqWJjKyTs6QajVaqFQKNDQ0ICenh5ERUUhPDx8xP1rCtUHMM+QhbldP+OocXgJnEsvUg/c8hHAAikpfigp6Rry5eHhPoiK8rPZyWpT/E5MDIJWy0Au78HkyUE4ebIFQqEXZLIeeHhwkZDggzNnujFlShAKC1sxc2aYxT1P58+PxKlTLRbFzJGaMyccR49a/jOaMSMM77xzLVJShn+SgmEYc2sQgUDQr0eSqTLPcMqwsSyLd955B8eOHcNXX31lUVUIS1DsGzaKfVaIi4uDVqs1lwicM2cOtmzZ4uBROT979Fg3VY1hWdbiamuOZFqvlcvl6OjoMLfVCQ4OvuzPwppkXEtLC9atW4fXX38dixYtsuI7GFx5eTm4XC42btyIV199dciE3IkTJyw+3TcO2CkhN4kFXhjBO2+ghNxwvPbaa3j00UehUCjGxC91d3e3+YZdUVGBa665BmKxGKWlpfj000+xd+/eEe3OsofOzk6UlZVZXcLIlkyLR3FxceDxeObSE6bG4CEhIaNeJsJgMJgbQVtTe96WWJZFWVkZ3NzcEBcXBw6Hc0mfPtOE4+I+MvbkDPWvL2ZKxqWnp/ebSJlKgSoUCrS1tZn7W4SEhAx40mc061X/8ssveOqpp7Bv3z4AwIsvvggAePzxx+36uVegK3ZiNtZin9FoxM8//wyJRIIDBw4gOTkZYrEYkZGRuOuuu/D5559j6tSpjh4mgL4JQVFREcLCwhAREXH5NwyDVmtAQYEMv/zSaE7UKRQ9Q74nONgTUVG+8PFxg8HAoKmpA42NPTCO4DBdcLAnoqP9zCfDBjslN2VKMNraehEd7YeTJy/tMTGYmTND8euvl389h9PXf62+vsuqHjtxcYE4d64dqakC+Pi4mXf9BwV5QCj0hIuLEX5+vjhxogUhIZ4wGhm0tPQgNtYLNTVD/9wvlJEhRFNTN2Qy9YjHaqnoaD+oVDq0t1vW3+f221Pwn/9cO+zXX5iMu7i8Xk9Pj7msM8uy5rLOAy2Ca7Va3HrrrVi+fDk2bdpk1+cJin3DRrHPSZjKxkskEuzcuRPu7u7IzMzE8uXLcf/992PZsmW4//77nWKxzbQbX6PROFVprMbGRjQ3NyMpKQkdHR2Qy+XQaDTm+5Il8xiWBc4pr8EHupvxL+39Ix/U43nAzmL4+rrCYGCH1TM2ISEInp4uKCqSj/hjeTwOwsJ80N2tQ2qqAD/+2LdphsvlYM6cMHR2dsPDwwONjWq0tvYgNZWPU6fk4HAAX18XdHUNL7EWEeGL4GBPFBePfKyWcnXlIjExxOLPXLcuCZ98smrYr2cYBqWlpfD3979kE62paopCoYBarUZQUBD4fP6AJz1YlsV///tffP/995BKpUNWgbAWxb5hu2JjHxkbbNFj3REtcOxhoLY6QqFwwEocer0ehYWFiImJgUAgsOhz5HI51q5di5deegnLli2z5bcwoEWLFlFCbmTslJCbyALPjuCdtzgkIeccdTCGqb6+Ht9++y2io6MdPRSb8fHxwYYNG7Bhwwb09vZi3759ePTRR9Ha2oprr70WJ0+etOiGbS+tra2oqqpCenq60yQIu7u7UVJS0q+xeGBgYL/G4NXV1fD09DQnTuy1U83EFDyioqIQGhpq188arsFKZ7q5uSEiIgIREREwGAxoa2tDbW0turu7zXWfR1qmcTiqq6uhUqmcKhmnUChQU1ODjIyMS35XOBwOAgICEBAQgPj4eHN/i6KiInA4HAQGBkKr1SIpKQl1dXW46aab8MEHH4xK89jGxsZ+pVojIyNx7Ngxu38uGR1jMfbxeDxcffXVuPrqq8EwDH799Ve89dZb2Lt3LxYuXIiKigrExMQ4fPOHRqNBUVERJk6caNNyLe7uLpgzJwJz5vye4Dt3rh1HjzaaS12Wl7f1K/vY1taLtrb+p+RcXbmYMMEfISFecHHhoKtLi7q6TnR09O9hd7G2tl4olb2YPz8SR482orFRdckpuehoP/B4HPj4uFmUjAOAggIZgoM9LxnvxVgWOHasCe7uPMyfHzniHjuBgR4ICfFEd7cOFRW/98lTKjUIDnaBUBiIH36oR0SEL1iWRUtLXxIuMjJoWAk5Hx9XpKYKLunDMxrq6rqQnBwCtVo37DJnU6YEYdWquGF/hun3fKBkHAB4eXkhJiYGMTEx5ibuZ8+ehUajQXBwMLq7u5GamgqGYXDHHXdg0aJFdk/GART7xrqxGPs4HA7i4uLwt7/9DY899hhqa2vx6aefYtGiReakV0NDAyIjIx266MYwDMrKyuDq6upUJe5ramrQ3t6OjIwM8Hg8eHl5ITw8HEajEa2trf3mMUKh8LL9azgcQOX+OGYapdYN7OGlwHcVUKl0mDMnAkePXj5WmE6HZ2QIoVLpUFV1af+5y5k5MxxHjzZi+vTQfps2GIZFWZkc06eH4eDBenC5HGRkhJpPxE2cGIBz5zqG9RlXXRWJwkIZGhstP6ltDb2eQW1tJyZM8B+07PfFXFy4mDVr+JUVTMk4Pz+/ASvauLq6IiwsDGFhYWAYBkqlEjKZDJWVlfD19YXRaMSECRPg6+uLjz/+GN9++y3y8vLsmowDKPYRcqXw9PREdnY2srOzzT3Wt23bhocffhjz5s2DWCwesse6KRZ7eHhg0qRJThOLR+LCtbSL12tNG91NVQMKCwsRHR1tcTKura0N69evx7PPPjsqybjh4HA4WL58OTgcDjZu3Ih7773X0UMiTuSKSsg99NBDeOWVVyASiRw9FLtwc3PDDz/8gJSUFLzzzjs4dOgQvvzyS/MNWyQSYf78+XZPKl2sqakJjY2NmDZtmt0fMIfLdFovJSXlknKeHA4Hfn5+8PPzQ1xcnLmHWkFBwZCNwa2l1WrNDUedpc62qQSHqczaYFxcXCAUCiEUCs0TjubmZlRUVJiPlgcFBdksMWxKxk2dOtVpknGtra2orq4eMBk3EG9vb0yYMAETJkyAVqtFWVkZHn30USiVShgMBvy///f/MHPmzFEYORnrxnrs43K5aGlpQVVVFU6dOgWlUomcnBy88cYbiIqKQlZWFlauXImAgIBRHVd3dzdKS0sxZcqUUfnsSZMCMWlSIG6+ue9kYGenFsePN5lP0P36axO6u/X93qPXM6iqar9kIU8g8EJ4uA/c3ICeHg3a2nSQyTRgLsjnsCxw5EgDEhODoVLpUFfXBRcXLgwGBiEhnoiN9UdRkXxECTKDgUViYvCwe8BotUYcOdIAf393zJ8faVGPnYkTA1BQ0ILExBAEBHj0W2RMSwtAaWknzp1TY/HiGFRUtPU7idfdPXTiEgBSUkLQ1qZxSDLO5PTpVsyaFY7jx4dXvismJgDLlw8e8y+k0WhQWFiIKVOmDJiMu5ibmxvCw8PNi+BtbW146aWXcPToUfj7+yM1NRV//vOfr+hFA+IcxnrsM5WP37lzJz755BOkp6dDKpXij3/8IzQaDVavXg2RSDTqfVRNZfcDAwMRGxs7ap87FNNpPa1WO2BPHh6P128e09bWhsbGRpSXlyMgIAACgQCBgYEDzjnSvZejSfW1dQPk+wIbrwbeOAC1+vJx5UIFBbLfTrRFoKamAy0twzuBzeUCzc3dmD8/Cq2tPf02o0ya5I2ODiMOHKjHVVdFQKs19itPGRbmc9mEnFDoibAwvxH1mbOVzk4tfHzcEBLiOax+rcnJfGRlDW8ziqmVg6+v77B+z7lcLkJCQhASEgKWZdHV1YXPPvsMt99+O3x9fdHb24tvvvmmXwl2QggxcXd3x+rVq7F69ep+Pdb/+te/YubMmZf0WDetL/n7+2PixIkOHr1tXbxea9rofurUKfT09EAoFFo8925vb8f69evxxBNPYOXKlTYZ59KlS9HScumm1Oeff37Yz6ZHjhxBREQE5HI5li1bhilTpmDBggU2GR8ZCAtAf9lXOYsrJiG3Y8cOREREIC0tzdFDsZu///3v8Pf3xxtvvAEOh4NVq1Zh1apV0Ov15hv2Y489hpkzZ0IkEmHRokV2TZCxLGsuKTht2jSHn9IzaWtrw9mzZ4d9Ws/Hxwc+Pj6YOHGiuTF4cXExOByOuYeataf+TKWeEhISLtusfbSYJtTBwcEW7S6+eMJhOlp+7tw5eHl5gc/nW3Xa8Pz581Cr1U6XjDt//vwlZSqHy93dHRkZGfjiiy9w/fXXY+XKlTh48CDefvttXH311bjhhhvs0kzWJCIiAvX1v/d2amhosFlpPeJY4yH2HT58GP/617/w7bffIiAgALGxsZg2bRpeeOEFlJaWQiKRICsrCyEhIRCLxVi1apW5n4G9dHR0oKKiwqE9XP393bFs2QQsW9aXWOnp6UVe3s+QydxQUtKJY8eaUFs78K5xubwHcnn/k1/u7jyEhnrA15cHNzdXaDQsGhq6UV7eBl9fNyQlhSA62g/FxTJMmybEgQO1MBpHXsFnJLvpOzu1OHKkwaIeOyEhXoiI8MXJk81wd+97rPX1dUVEhCeKijowcWIA+HwvnD6t6FcW1NWVi8rKwfvXeXrykJQUiFOnWjF0dffRcfx4E+bPjxxWknP6dCFcXS//zGbaSDR58uQRJZ15PB4EAgH++9//YuPGjfD09IS/vz/mzp2LuLg4iEQi3HjjjXbrO0Wxb+waD7Gvp6cH69evx5YtW8ylju6//35s2rQJcrkceXl5ePjhh9HR0YGVK1dCJBLZvVyVTqdDUVERIiMjERYWZrfPsQTDMCgvL4eLiwuSk5Mv+/1zuVzw+Xzw+XwwDGMua3nmzBn4+vqa+9eY5rUcDuDCFcMPnejC5TclDOq2OYD0FEpKFIiO9kNd3dC95Pp/jyyOHm2Ep6cL5s+PQnGxDF1dQyf2Zs4MR3e3DkePNmLatN+rsqSm+uH0aRV8fd0wf34kTp9uRXh4/+cYjWboWtfTp/NRUdGOwkLZsL8He2lsVGHKlGCo1frLlgJNSxMiKurylRVMyTjT5kpLcTgc+Pv747777gOfz8fWrVuxZs0a3HrrreBwOMjMzMStt94KoVBo8bWHg2IfIVc2Nzc3rFixAitWrOjXY33z5s1IT0/HqlWr8O677+KWW27BLbfc4ujh2p23tzeioqLQ1taGSZMmgWVZlJSUgGVZCASCy67XdnZ2YsOGDXj00Udtuonru+++s/oapnuzQCBAdnY2jh8/Tgk5u2IB2L/Pra04VQ+5oTLQL7zwAr799lv4+/uP2Tqsvb29l00MGQwGHDlyBDk5OTh06BDS0tIgFouxZMkSm+7IMjUONRqNSExMdJrEiUwmM/f3sjYZqdVqIZfLzU2bTck5SxuDq9VqlJSUDFrqyRGMRiOKioogEAhs1seOZVnzacPW1la4urpafNrw3Llz6O3tHdaEerS0tbWhqqoKGRkZVv1OmepVv/zyy1i6dCmAvhKmP/74IxQKBW644QZbDfkSBoMBCQkJOHDgACIiIjBz5kxs27YNycnJdvvMK5RT9hIY77HPaDTCYDAMeR8xxSSJRIJdu3bBz88PWVlZyMzMNJe3sBVT+Yy0tDSn2enc09OD4uJiTJ48GYGBgeavNzd34+jRRnOpy6IiOXQ6y5rK8fkeiIjwgY+PJwIC3KBWG3DwYK1Nxp2cHILTp1tH/P7L9diJjfVHUJAHCgpkmDcvEj/91IC4OD90dGghFPrA3d0VBQUt5oRaerrQvMA41NiSk0PMpwadzVVXRQ55YmHixAB89lkW0tOHXgjUarUoKCi45HfKUkajEZs2bUJYWBheeOEF86mf06dPY9++fXj44YftFu8p9g0bxT4nNZy5X1tbG7Zv3w6pVAqZTIZrr70WYrHY5vOzC/tyO8vP2mg0orS0FL6+vlafFDSdajL1r/Hy8rqg37gLZh1vQplw+KV+B3SwErjvf8PePDGYoCAPJCaG4NixRhgMl/6T5HCAqVP5kMt74ObGQ2NjF/z83CEQuKKzk0F8fBBOnZKhp6dvl/iFcYPDAQICPAbsSxoS4omYGH+Ly1SPhhkzQnHyZMugG2Q4HOC991bj5psTh7yOqa+6qQScNXJzc/Hf//4X+fn55hLrMpkMu3fvxtVXX42EhASrrj8Yin3D5pSxj5DBGI1GHDx4EPfccw+CgoIQFxcHsViMZcuWwcvLy9HDsxuj0YjCwkKEh4f32wyk1WqhUCggl8thMBjMvWIv3CyrUqmwfv16/OlPf8KNN9446mMfqoecWq0GwzDw9fWFWq3GsmXL8I9//APXXjv8Ht9jmJ16yMWwwN9G8M7/c0gPOadKyA2mpKQES5YsMd+EGhoaEB4ejuPHjztNny5HMBqN+OWXXyCRSHDgwAEkJiaab9iWJpUuZKqn7uXl5VS1ihsaGiCTyZCWlmbz3dZ6vd58szc1BhcKhfDx8Rny+1epVCgtLR2wdKajGAwGc0ALDx9+HX1LmU4bKhQKsCxrTmgO9LBgamJv6rHmLL9TSqUSZ8+etToZ19bWhjVr1uCZZ57BddddZ8MRDt+ePXvw4IMPwmg04s4778TmzZsdMg4nd0VNzCj2Dcx0P5FKpdixYwfc3NyQlZUFkUiE0NBQq+4vDQ0NaGlpQVpa2qiXhx6MKc5MnTr1sj31NBoDTp5sMSfojh1rHFaZpwu5uXExbVoourv1KC1VWDP0S/rSjVR6uhDd3Zf22Fm0KBrFxX1lNUNDfRAW5o7eXj0A1wGTbRf29pk/PwpHjtT3+3t3dx5mzgzDzz839uvf50x4PA5SUwUoKBj45MKaNZPx2WdZQ15Dp9OhoKAA8fHxVp3qZxgGDz30EHx9ffHqq686ZPMWxb5hodg3RnR0dGDnzp3Izc1FbW0tli5diuzsbKSmplr1788UZy7sy+1oBoPBvLnwwn5ZtnDxJkM3Nzfw+QJsr3fBv1u5qJscAbiNcK658XOEVDSho0MLg2F4pZcHExXlh7Awbxw/3tzv67NmhUGvZ1BQIMNVV0WirU0No1GHoCA/nDolg17f/3ODgz3R3t4LhgHi4gIH7Fc3e3Y4Kivb0NFheZnq0TJUojMpKQTffnsjAgMH30hlSsa5u7tbvcaxa9cuvP3228jPzx/1kuoAxb5huqJiHyFqtRpisRg33ngj/vCHP+DXX39FTk4O9u/fb648sWLFCof3WLclUzIuLCxsyLVLvV6P1tZWyOVyKJVK7NixA5mZmXjttddw55134rbbbhvFUQN5eXnYtGkTFAoFAgICkJ6ejn379qGpqQl333039uzZg/PnzyM7OxtA3zPNTTfdRPfq39kpIRfNAn8ZwTvvp4TccI3lnZIjxTAMTpw4gZycHHz77beYNGkSRCIRrr32Wotu2Pac/IyUqXRmV1cXpk6davfSmQaDAW1tbZDJZFCr1QgODoZAILikMbippFlqaqrT7FjR6/UoLCxEVFTUqC5a6HQ6c0JTp9OZf2am3z1nTsalp6db1U+wvb0da9aswebNm5GVNfQiKHG4K3piRrHvUizLoq6uDlKpFHl5eWBZFpmZmRCLxYiMjBz2/YZlWZw/fx7d3d2jEmeGq729HZWVlVbFmbNnlTh61NSLrhEVFW3DLsEYHe2DqCh/lJa2jqiXnJeXC7hc7rB6tV0Ol8vBrFnh5h470dG+8PPzQGmpAnPmhMPV1YjaWhXq6noGvYavrxt0OiO0WiPS0gT9Tt5NmRIMjcaAmpqBy4A6E29vV4SH++Ds2UsXVd96axnuvjt90PeaknFxcXFWlX5lGAaPPfYYOBwO3n77baeppEAGRLFvDOrq6kJ+fj5yc3NRWVmJJUuWQCwWY/r06Rb9e1QqlThz5oxTzWd0Oh0KCwsRHR09KvOZnp4e8yZDLpcLtVsQ3qp2w4HgEOgjLDxBfL4VWPMuZqQJcOKEbU6aJSYGw8WFi5KSvk0yS5fG4rvvahAU5IGUlCDI5SpUVKiGjO2mE+IXJ7WCgjwxaVJAvx5zzmywU+L33JOBN99cOuj7WJZFeXk5XF1dERcXZ9V8dO/evXjllVeQn59v9xLqxCpXdOwj4091dTVOnDiB9evX9/s6wzAoLCxETk4O9u7d69Ae67ZkquoVGhpq0UGCnp4ebNu2DR9++CGUSiXWr1+PNWvWYO7cuU4zhyeXZaeEXBQLPDSCdz5CCbnhoonZ0BiGQVFRkfmGHRERAZFIdNkbtlarRVFREWJiYuxW89xSLMvizJkzMBgMDimdaTQaoVQqIZfL0dXVZW4Mbmounp6e7jQlzUyT19jYWAgEAoeNw5TQlMvl6O7uBofDgbu7+4BN2B3FtMidkZFhVTKus7MTa9euxSOPPIK1a9facITETq7oiRnFvqGxLIvm5mZzcq6npwerV6+GSCTCxIkTB118MS3ScDgcTJkyxWk2DSgUCpw/f97mpTM7OjQ4dqzpt1KXTTh5shlq9dDNj93cOEhJCYFabURFxeB91wYyb14Efv7Z+lNyJh4ePMyYEQY/Pzd0dupgNDLo6OiGt7crdDouKiraLjkdcKGZM8NQVCQHl9vXR8fVlYvZsyPwyy8NVvXMG21CoTc4HKClRW3+WmSkLw4dugWhoQOf2Dc9J0yaNMnqZNw//vEPqNVqvPvuu04T28mgKPaNcT09PdizZw9yc3NRUlKChQsXQiwWY/bs2UMuTplaAaSlpVn1PGxLptKZ8fHxDkl2aDQac3LOyDD4ptUfX+gD0JgYBQyjNycA4JV9mFZSg1OnbFv6cfr0UAQGukOtNoDL5aCjowc8nhFubp6oqmof8nSb6cT6jBmh5kThzJlhOH++A21tlp2kdyQul4Np04SXJDtzctZi5cqJA76HZVlUVFSAx+MhPj7eque8AwcO4JlnnsGePXvA5/NHfB0yKq7o2EeGZ+/evXjggQdgNBpx9913429/G0m5uisHy7LmHuv5+fng8/kQiUSj0mPdlkzJOKFQaHEPTI1Gg5tuuglZWVm48847cfDgQeTm5iIyMhJPPvmknUZMbMxOCblIFrh/BO987LIJOQ6Hcy2AtwDwAHzAsuxLF/29O4BPAUwH0AbgepZla4a85pWYkCPDZ+rjYbphBwcHQyQSYfXq1f1u2OfPn4dMJsPkyZOtKl9kSwzDmMtKWLuTzVbj6ejoQE1NDdrb28Hn8xEWFoagoCCH78TQarXmRTZnWbAwJVPVajU8PDzQ2dkJPz8/CAQCh/7MTCcbrU2mOrpeNRkRmpiNEyzLQi6XIy8vD7m5uWhvb8fKlSshFouRkJBgjifd3d0oKipCWFiY1f1pbKmpqQmNjY1IT0+3e+lMo5FBcbGiXy+6+vrBe6dFRnoiLMwHFRWdUKkuf/JtypRgVFS0WT1OV1cuUlIE8PDgobJSiba2Xvj5uSEkxA1+fm7w9vZCT48enZ0a+Pm5w8fHDQpFL86c6X8icNasMPT0GFBaqkB8fCBYFgOW77oSxMUFQibrhkrVl1C9+eZk/Pe/Kwd8rV6vR0FBASZOnGjVcwLLsnj22WfR0tKCDz/80OHPP2RYKPaNIxqNBvv370dOTg5OnjyJ+fPnIzs7G/PmzetX8v/kyZPgcDhITU21eSuAkeru7kZJSYnTlM7U6XSQy+U4d+4c6rq5+FwdjqORUTCEBwz9RpUGnMx3IOACMpl66NcOQ3x8IEJDfdDQoEJ1dQfc3XkIDfWCjw8HAQG+0OsZKJUauLpyERzsCbVaj8rKNvT0GMzX8PPrOyHu7t73v3ViYjCOHm2yemyO4OXlguhof/OzxcSJAThx4k64u18aj0w9iDkcTr/nv5H48ccfsXnzZuTn54/78rlXCIp9Y5zRaERCQgL279+PyMhIzJw5E19++SWSkpIcPbRRMZo91m3JdICEz+cjMjLSovfqdDrceuutWLJkCR544AGn/R7JZdkpIRfBAv83gnc+MWRCjsPh8ACcAbAMQAOAXwHcyLJs2QWv+T8AqSzL/pHD4dwAIJtl2euHHC8l5C7197//HTt27ACXy4VAIMDWrVvt2otrtJgSJKYbto+PD7KysiAQCPDEE08gLy/P6ubGtmI0GlFcXIzAwEDExsY6ejhmzc3NaGxsRGpqqrm8SVtbG7y9vc2NwUd7UqvRaFBYWIiEhASnSaaaftcYhjGfOGFZFp2dnea6z56enuaf2Wj1arJVMk6tVmPDhg244447Rr1eNbEKTcyGMFZjH9DX53HHjh2QSqVoaWnBihUrcM011+Cvf/0r/vjHP+LWW2919BDNamtroVQqkZqa6rBkR2OjynyC7ujRRhQXyy/phePuzkFCgh96elicOzd4Ag8YvGfN5Xh7uyA5uW9CWVbWOqwEIAB4ebkiKsoXgYGe8PBwgbs7FxqNAbW1nZDJejBrVjgYhsXRo41Dnqa7EqSnC1FSIofRyOLLL0XIykq45DWmZNyECROs2tHPsixefvllnDt3Dp988onTLOKTy6LYN4SxHPt0Oh2+//57SCQS/PLLL5gzZw4yMzOxc+dOdHR04NNPP3WaE66dnZ0oKytzqr7cpvlocHAwwsLC0NraimaZDJ9WGrHDPQLy5JjBT81JTuHq7wpx+HD9wH8/BA4HSE7mw9/fHTU1nWhsVA3rfS4uXERE+ILP94SXlys8PV1gNLJoaelGRUUbFi6MQXu7Bg0NXZDLBy/vfCUIDu6L742NKvzpT9Pw6qtLLnmNaT4KwOpk3E8//YS//vWvyM/PHzP3h3GAYt8Y98svv+Cpp57Cvn37AAAvvvgiAODxxx935LAcwp491m3JlIwLCQmxuEWSXq/HHXfcgTlz5uAvf/mL03xPZETslJALZ4GNI3jnU5dLyM0F8BTLsit++/PjAMCy7IsXvGbfb6/5hcPhuABoAcBnh0i6UUJuAF1dXfDz8wMAvP322ygrK8OWLVscPCrbMvXLeeGFF7B9+3akp6dj5cqVEIlECAsLc+jNTa/Xm08sWHp82Z7q6+uhUCiQlpbWb5F0oMbgQqEQISEhcHNzs+uYTGVdpkyZ4jT1o02TH5ZlMXny5AF/l1iWhVqtNv/MXFxcwOfzIRAI7FYyp7OzE+Xl5VYn43p7e3H99dfjhhtuwN13323DEZJRQBOzIYyH2Af0JeY/+eQTPPvss5g8eTLmzZsHsVjs8LK6polUb28vkpOTnWaRVKVS4cSJIuj1AhQVKXH0aCOOH2+CUqkxvyYqyhMBAa44d66n3458k8F6vgwkMNADU6YEQ6cz4vRpBTQa44jH7u/vjuBgT/j7u8PT0wUuLlxwOBxoNAawLMDlAhwOB1xu362hL1xxYPrn3/eIzIJlAYbp+9/IaGTBMMxv/7/vzwYDA4OBgU6nh0ajB5fLg17PQq83QqczQqezb9Jv3rwIVFW1o7x8Izw8+ifJTL1lY2JirCpnzbIs3njjDRQVFWHbtm2jtpGG2ATFviGMl9hnMBhw4MABPPDAA+DxeJg2bRrEYjEWL17s8HKVbW1tOHv2LNLS0uDp6enQsZiY+qqHhoZeMh81Go1oa2vDT5UteKPGFYXxk2AMDeh/AYaF8IFtkB+sGlbfVldXLqZO5cPT08V8CnykPDx44PO9EBjoAU9PV7i58cDjcaDVGmE0Mua4x+H0xUBT7ONw+u71pvGa/pthWPP/GY0MjMa+RVWDwRT/jOjp0YDD4cFgAAwGU+wzgrFj+IuN9Ud7uwZffZWNq6/uv7DLsizOnj0LhmEGnY8O1/Hjx/Hggw9i165dFi8gE4ei2DfGSSQS7N27Fx988AEA4LPPPsOxY8fwzjvvOHhkjnVhj/Xt27eDYZgR9Vi3NYZhUFxcjKCgIERHR1v0XoPBgHvuuQcpKSnYvHkzJeOufHZKyHH2AhhJKRgPAJoL/vxflmX/e8F11wG4lmXZu3/7860AZrMse98Fryn97TUNv/353G+vaR3sQ2lr6wBMkzKg7yTMWPzHzuFw8PPPP+Ps2bOoqKiARqOBRCLBXXfdBYPBYL5hR0VFjer3b+pj5+g+aBerrq5GV1cX0tPTL1kk5XA48PX1ha+vLyZNmmRONBUWFoLH40EgEIDP59u811xPTw+Ki4uRmJjoFGVdgP5lQYaa/HA4HPj4+MDHxwcTJ05Eb28v5HI5SkpKwLIs+Hw++Hw+vL29bTKurq4ulJeXW92LSaPR4Oabb8aaNWtw11132WRshDiL8RD7gL5ykB9//DF27tyJlJQU5Ofn480330RlZSUWL14MsViMGTNmjGpCzNTHjsvlYurUqU7zszedKp49exq8vLywfHnf1/s2XijNJ+iOHWtEaakSnp48pKUFQKnUor7+98XE06cVcHfnQasdOLkWGuqNSZMCoVLpcPq0Ar/8MnTPOS4XCAryQEiIN3x83ODh0bdJxmBg0NNjQEeHBq2tPejs1KKzc/CeOqOJx+PA3Z0HV1ceXFy4cHXlwsWFCy6XBcCAw2Hh5uYKT083eHu7w92dBze3vte7uva9nsfjgsfjgMfjmpOJQF8i8Y47Ui9JxhkMBpsl4/7973/jxIkT+PrrrykZR8aU8RL7tFot3nnnHdx111146KGH8NNPP0EqleKpp55CcnIyxGIxli5dCi8vr1Edl6mP3bRp0+y+kXG4dDodioqKEB0dPWBfddP8LlsggOgqBq1tSrx85Cy+RhCUKRMAFy7A5UB25wKktHahpFg+4Od4eblg6tS+U+Dl5a0oKJBddmw+Pi4IDfWBr2/fRhMejwOjkUVvrwEqlQ4KRV/sq69Xob5+eCfr7InL5cDNjdsvlrm48MDlsuBw+uKfiwvPHPs8PFzg5maKf33v4/E4v8VLDng8Tr9/o2Fh3rjqqv4JU1Ovd6PRaHVv4FOnTuGBBx7Ajh07KBlHCLkicDgcxMTE4OGHH8ZDDz1k7rH+pz/9adg91m2NYRiUlJSMKBlnNBrxf//3f0hISKBkHBkSy7LXOnoMlqATcoPYvHkzPv30U/j7++PgwYNjrmnvTz/9hJdeegn/+9//+iU9WJZFc3MzcnNzkZeXB7VaPWo3bFOCydlKL1ZVVUGr1SIpKcniBVpTY3C5XG5ONAkEAqsnu6YeC1OnToWvr69V17IVU8NsLpdrVVkQnU4HhUIBuVwOrVaLkJAQCAQC+Pr6juiaXV1dKCsrs3rXrale9dKlS3H//ffTg8CViXZKXsZYj30ajQaLFy/Ghx9+iMTExH5/19PTg2+++Qa5ubkoLi7GggULIBaLMWfOHLuWjmQYBqWlpfD29h7VidHltLW1oaqqatgbGdraenH8eJO5F51S2QNXVwaVlV3QaBhMny7AyZO/L0rGxPghKsofra09qKz8vc/bxTv7XV374q5Wa4RKpYNcrkJnpx5Go/X/RLncviSZKfnl7u5ywX+bvu5i/u+BXufmxoPBoEFPTxdiYqLg5eUKd3cXi67Rl6jjoLu7E21trejs7IS/vz/4fD6Cg4NHlBw2GAwoKCgYdEF5uFiWxQcffID9+/dDKpU6/CQNGRGKfZcx1mMfANxzzz1YsGDBJSWaGYbB0aNHIZVKsX//fsTHxyM7OxvLly+3e+nI+vp6yOVypKWlOU0JXGv6crMsix8rZHiqWI0TsdFghP6Iefc71L7zk/k1AQHumDIlGAYDg9LS30+Bc7mAQOCNwEAP+Pi4wc2NBw6nb6OJWq1Ha6saSqUGWq1tjpwNHZ94A8Sx3//O9B4ul0V7uxwREaHw9/exOH72/X8udLpeKJWtaGtrg5ubm3kz60gStKa5u16vR2JiolXPVMXFxbj33nshlUoRHx8/4usQh6HYN8ZRyUrLyWSyy/ZYtzXTXNff3x8xMTEWv/f+++9HSEgIXnrpJaepIEOs5hwLHsNEJSttbOnSpWhpabnk688//zxEIpH5zy+++CI0Gg2efvrp0Rye3fWVXTJedvIjl8vNN2ylUmkua2lt6YeLqVQqlJaWIjk5ud9OVUcynfYCYJPv19QYXC6XQ6/Xm5Nz3t7eFl3b9LNyph4LptMdLi4uiI+Pt9nvhsFgQFtbG+RyObq7uxEYGAiBQICAgIBhBWPTzyotLc2qJKipXvXcuXPx6KOPOs2CObHYuJ+YjffYB/TdVy4X+zQaDfbv3w+JRIKTJ09i3rx5yM7OxlVXXWXTRUODwYDi4mLw+Xyn2nktl8tRU1OD9PT0EZ9Y0OuNKC6W48SJZpSWNuHs2TbU1nYhOtoP7u5u4HBc4OXlAldX0+k2FhqNAQYDM+DinasrBx0dbQgK8kdwsP+IE2i//11fCUtryWQy1NXVIT093WYnx1iWRUdHh7nnqqV9ak0n4yIjIxEaGmrVOD755BPs2LEDO3bssPlJfzJqKPZR7BtW7GMYBqdOnTKXAYuJiYFIJMJ1111n02ocLMuiuroaKpUKU6dOdVi/1IuZWgFMnjwZgYGBVl1LZ2Dw3KFG/K/ZCLy8B+HB7vD39wTDuPxWRrLvxBfDsNDpGGi1Bri4cPvFMTc3LtzceNBougEYERkZ+ls8GzimXZxAM71uoFhoq5+VrSu1mHq0KxQKcDgc83x5uJsqL9xIa818raysDHfeeSe+/vprTJkyZcTXIQ417mPfWGcwGJCQkIADBw4gIiICM2fOxLZt25CcnOzooV0RBuqxnp2djcTERJslvkzJOD8/P8TGxlr83kceeQSenp54/fXXKRk3tlxRC6q/JdjOAFgCoBHArwBuYln29AWv+TOAFJZl/8jhcG4AsIZl2Q1DXne8JuSGq66uDitXrkRpaamjh+JwSqXSfMNubm7G8uXLkZ2dPaKTYxcylcRKSUmxWYlCazEMg7KyMri7uyMuLs7mCRi9Xo/W1lbI5XL09vYiODgYAoEAfn5+Q36W6bSXM/2sTMk4V1dXu/ysTBiGgVKphFwuR2dnJ/z8/CAQCBAUFDTgRN5WyTiqVz2m0MRsmCj2/U6n0+H777+HVCrFzz//jNmzZ0MsFmPBggVWldcylcSKioqyKmlia83NzWhsbERaWprNSxMyDGNONLW3t1/2Pm5i6i1rbYLJ1uyRjLvYxX1qXV1dzacHBjqtZjQaUVhYiPDwcISFhVn12Z9//jm++uor7Nq1a9TL2BGbotg3TBT7fmdaRMvJycGePXsgFAohEomwatUqqyqZmHpNGwwGmy76WUutVqO4uBhJSUl2aQVw4X3cxcVlyPu4iem0l06nszrBZEs9PT0oKiqy28/KRKvVmqum6PV6c9UUHx+fAX8WF/bhteZnVVlZidtvvx3btm3D1KlTrfkWiGNR7BsH9uzZgwcffBBGoxF33nknNm/e7OghXZE6Ojqwa9cuSKVS1NbWYunSpcjOzkZqauqI4zTLsigtLYWPjw8mTJhg0XsZhsHjjz8Oo9GId955x2meFYjNOMcDjQU4HM5KAG8C4AH4iGXZ5zkczjMATrAsu5PD4XgA+AxABgAlgBtYlj0/5DUpIXeps2fPmssS/Otf/8KhQ4cgkUgcPCrn0tnZab5hV1dXY9myZRCLxUhLS7PoZqlQKHD+/Hmre3vZkqm+sZ+fn8WBYyRMjcHlcjlUKhWCgoLMp8AunEyYEpfO1PCcZVlz4nLSpEmjNlFkWRadnZ3m0wOenp7m0wOurq7mkp6pqalWJS6NRiP+9Kc/YeLEiXj66aedZiJMRowmZkOg2Hd5BoMBP/74I3JycvDjjz9i2rRpEIvFuOaaayyKYRqNBkVFRSMqiWVP9fX1UCgUSEtLs/uJhQvv421tbYOeAtPr9SgoKHC63rItLS1oaGhAenr6qJZa6+npgUKhgEKhuKQUti2TcV9//TW2bt2K3bt3O81pfDJiFPuGQLHv8kyb7yQSCXbv3o2AgABkZWUhMzMTISEhw34+tveGx5Hq6urC6dOnR636iKl3tlwuH/QUmClxyTCM1X3QbMmUjBvtqjamzawKhQI9PT3m+bK/vz84HA7Onz+Pnp4eq5NxVVVVuOWWW/Dpp58iPT3ddt8AcQSKfYSMgEqlQn5+PqRSKSorK7FkyRKIRCKLeqyzLIvTp0/Dy8sLEydOtOjzGYbBU089hY6ODvz3v/+lZNzY5BwPNQ5GCbkBrF27FpWVleByuYiJicGWLVsQERFx+TeOUyqVCnv27IFEIkFlZSUWL14MkUiEmTNnDnnzbG5uNi9m2WtnuaWMRiOKioocVj7s4lNg/v7+5gXIqqoqpKenO03i0hRkPT09Hdr3iGVZqNVq865ToG+xOyUlxapyM6Z61Xw+Hy+++CI9CIwNNDEbAsU+yxiNRvz000+QSCQ4ePAgkpOTIRKJsGzZsiFPE6nVapSUlGDKlCkICAgYvQFfRnV1Nbq6upCSkjLq97uLT4G5ublBKBTC398fp0+fxoQJE5yqp5PpFOFoJ+MuZiqFrVAooNVqodfrER4ebnVMzsvLw5YtW5Cfn+80ZcSJVSj2DYFin2VMp7YkEgl27doFDw8PZGZmQiQSQSgUDnrvMRqNKC4uRmBgoMVlq+zJtOExNTXVISeBtVqtOTlnNBrB5/PB5/NRV1cHHo9n174+ljKdInR0D3Oj0WieL3d1dYHL5YLH4yEjI8OqzUS1tbW44YYb8OGHH2LGjBk2HDFxEIp9hFjp4h7rCxcuhEgkGrLHumnTvoeHByZNmmTR57Esi+effx4NDQ34+OOPnaakNbE553iwcTBKyBGb6u3txd69eyGVSlFUVIQFCxZAJBJh7ty5/W6mp06dAoBR2YU/XKaSWBEREVbvLLcFUw+Z2tpatLW1ISQkBGFhYQgODnb4z+zCZJylQdae1Go1CgsLIRAI0NnZaT49wOfzLTop54h61Tk5OXjqqadQXl6O48eP00TQPmhiRuyCYRgcP34cOTk52L9/P+Lj4yEWi7FixYp+u+2rqqqgUCicrgfohT1XnGHzgVqtRlNTE+rr6+Hl5YWIiAjw+Xyn2JDS3NyMpqYmpKWlOTQZdyGj0YiCggJ4eXnBYDBArVYPetr+cnbv3o0333wT+fn5VvdQGi6Kf3ZHsY/YBcuyqK2thVQqRV5eHjgcDjIzMyEWixEREWG+97S2tqKyshKxsbFOlexsa2tDVVWV01Rq0ev1kMvlOH/+PBiGQUREBAQCAXx9fR2elHOWZNzFqqur0dbWBh8fH7S3t1vcc9WkoaEBGzZswJYtWzBnzhw7jvh3FPvsjmIfITY0nB7rRqMRpaWl8Pb2triCFsuy+Oc//4nKykp89tlnTjPPInZBCTlQQs6h/vKXv2DXrl1wc3PDpEmT8PHHHzvVbnlrabVa8w37xIkTmDdvHrKysrBr1y7I5XJ89tlnTrHwB/TtMi8sLHS6klgKhQLV1dVIS0uDRqMxl/a6uETjaGIYBqdPn4a3t7fFx8/tyTRRvHChW6fTmXsPaLVac++BoSa2jqpXXV5eDi6Xi40bN+LVV1+lSZl90MTMSYzl+McwDAoKCiCRSPDNN98gOjoaIpEILi4ueOGFF7B//36nKVPJsiwqKirA4XAwefJkhy/4mfT29qKoqAiTJ0+Gp6en+fTAxSUaR1tTUxOam5uRnp7u8I0xJgzDmE/2R0ZGmr9mSc9Vk3379uGll17Cnj17EBwcPFrfAsU/+6PY5yTGcuxjWRZNTU2QSqXIzc2FVqtFZmYmZs+ejU2bNuHZZ5/Fdddd5+hhmsnlctTU1CA9Pd2qfrC2ZOrb5+Pjg+joaLS1tUEmk0GtVpv7jZtKNI6mgeZYzqC2thYdHR3mk/0sy0KlUpnny25ubuZefUP9b9zc3Ix169bh7bffxtVXXz1q46fYZ3cU+wixk4F6rGdmZuLTTz81x31Lk3Fvv/02Tp48iS+//NJpKqgRu3GORQcHo4ScA3377bdYvHgxXFxc8NhjjwEAXn75ZQePyj50Oh0OHDiARx99FAzDYNasWVizZg0WLlzo8EmQqZdPXFzcqC5AXY5MJkNdXd0lJT0vLtFoagwuEAjs/rM0TRR9fX1Hpb/ecJn6GQy1a9NgMJh79XV3dyMwMNB8esCUdGMYBk8++SQ6OzsdVq960aJFNCmzH5qYOYnxEv9M98xnn30Whw4dwowZM5CVlYXVq1cjKCjI4WO7sJyIsyTjenp6UFxcjMTERPj7+/f7O1OJRrlcDr1eb07OeXt72338jY2NaGlpccpkXEhIyKBltk2n7RUKBZRKJby8vMDn8y/Z0PP999/j6aefRn5+vsM2JlH8sxuKfU5ivMQ+lmUhk8nw/vvv44033kBKSoq5pUF8fLzD401TU5P5pLOzLPqZepj7+/tfUtLz4hKNAQEBEAgECAwMtPtcxdSX29mScXV1dWhvbx+yzHZPT4+5rPNgvfpaWlqwfv16/POf/8TixYtHa/j9UOyzG4p9hIwCg8GAQ4cO4YEHHgDLssjIyEB2dvawe6yzLIstW7aY+7Q7en2YjArnWHhwMDoD6kDLly83//ecOXPGfAPxTz/9FOvWrcMTTzyBI0eOICcnB5s3b0Z6ejrEYjEWL1486uVCTAt/ztbLx9SfJiMj45Kj2hwOBz4+PvDx8cHEiRPNk42ioiJwOBxzcs7WP8srORkHAC4uLhAKhRAKhWAYBu3t7ZDJZDhw4AAkEgmysrJw5swZKBQKfPzxx05zepOQsWi8xD8ul4vjx4+jvb0dZ86cQXNzMyQSCdauXQt/f39zco7P54/qAuVQC3+OZNqFn5ycPGDvMjc3N0RGRiIyMhJ6vR6tra04d+4cent7zacH/Pz8bP6zbGxshEwmc7pkXHFx8ZDJOKDvmSEwMBCBgYH9evWdOnUKr732GmbPno1Jkybhtddec2gyjpDxYLzEPg6HA7lcDqlUiu+++w7R0dHYvn07Hn/8cSgUClx33XUQiURITEwc9eRcfX09FAqF1f3GbMnUX2+w+zmPxzOX4GcYBh0dHZDL5Thz5sywT0CPhLMm4+rr66FUKpGamjrkfM3LywuxsbGIjY2FVquFQqFAeXk5vvrqKxiNRqxYsQLPPPMMXnzxRYcl4wgh5ErH4/GwY8cOrFixAi+//DJ+/vlnSCQSPPXUU0hOToZYLMbSpUsHrG7Csiw+/PBDHDhwAHl5eZSMI+MKnZBzEpmZmbj++utxyy23OHoodnH//fcjPj4emzZt6vd1o9FovmF///33SEpKglgsxrJly+xejso0yXC2WvgNDQ2Qy+Uj6q+n0WjMJRpNjcFNpwes4ayLt6ayZklJSQMu3g6H0WjEwYMH8e9//xunTp3CggULsGbNGqxatcrmSdqlS5eipaXlkq8///zzEIlEAGiXpJ3RTkknNJbj3969e/Hee+/hyy+/7LdJgmVZnDt3DhKJBDt37oS7uzsyMzMhEokQGhpq1wVKo9FoLnE4VCJntFmz8Gc0Gs0noFUqFQIDAyEUCi3unzYQa2KyvZhicmBgIKKjo0d8nYqKCmzZsgU7d+5EbGws1q1bh+zsbLv0hqX451AU+5zQWI59nZ2dWLp0Kb744gskJCT0+7v29nbs3LkTubm5qKurw7Jly5CdnT3kSSdbqa6uRldX16h81nAZjUYUFhYiNDTU4v56LMuis7PTXKJxpP3TBqJSqVBaWorU1FSr55G2VF9fj9bWVqSlpY34f8PW1lZs27YNW7duhU6nw5o1a5CdnY05c+bYPM5T7HMoin2EjILW1la8++67eOKJJ/rNu4bTY/2TTz5BXl4eduzY0e/0si39/e9/x44dO8DlciEQCLB161aEh4df8rpPPvkEzz33HADgiSeewO23326X8RAAdEIOACXk7G44D2HPP/88Tpw4gdzcXIeX8LAXrVYLd3f3IV/DMAx+/fVX8w07Li4OIpEIK1assHnCrLOzE+Xl5UhJSXHKSUZqaqrVEwKdTofW1lbIZDLodDpz/zQfHx+Lfs9MC38BAQGIiYmxaky2ZErGDVTWzBIsy+Ktt97CqVOnsG3bNpw9exZ5eXnIz8/H/Pnz8c9//tOGo748mpTZFU3MRhHFv76FNpZlh1wYY1kWtbW1kEql2L59OwBg9erVEIvFiIyMtOnPRa/Xo6ioCBEREQgLC7PZda3V1dWF06dP22Th7+L+af7+/ubTA5Yu3tkyJtuKLWPyr7/+igceeAA7d+6Eh4cHdu7ciby8PCiVSvz444+jXsqN4p/dUOwbRRT7+gxn7tfV1YXdu3cjNzcXZ8+exZIlSyAWizFt2jSbJsxYlkVVVRW0Wi2SkpKcJhlnMBhQWFhok5h84Qno1tZWuLm5QSgUIiQkxOITB86ajGtoaIBCobAqGQcAHR0dWLNmDf72t7/h2muvxXfffYe8vDwcP34c77//PubMmWPDUV8exT67odhHnE59fT1uu+02yGQycDgc3HvvvXjggQccPSy7u7DH+t69exEdHQ2BQICqqirs3r3brrGmq6vLvHn/7bffRllZGbZs2dLvNUqlEjNmzMCJEyfA4XAwffp0nDx5EoGBgXYb1zg3Nh9+LUQJOQfbunUr3nvvPRw4cMDuJ8KuJAzDoLCwEBKJBN988w2ioqKQlZWFlStXWn1qSalU4syZM0hLS7PbLoyRqKmpQWdnp112bRoMBrS2tkIul1vUGNxUEisoKMiqXfi2ptFoUFhYaJNk3LvvvovDhw8PWK+6t7d31H9HaFJmVzQxcyIU/y7FsiyampoglUqRl5cHjUaD1atXQyQSYcKECVYt3Op0OhQWFiI2NtapyhJ2dHSgoqICqampNv89MPVPk8vlUCqV8PHxgVAoRHBw8GUTbLbYhW9rptLRfn5+Vp9WLygowP/93/9h+/btl5ShdkTsAyj+2RHFPidCsW9gPT092LNnDyQSCU6fPo1FixZBJBJh9uzZVm2IYFkWFRUV4HA4mDx5stMkQPV6PQoLCxEdHQ2hUGjz65v6jSsUCvB4PAgEAvD5/Mu2NLDlBhlbMpWOtva0eldXF9atW4cHHngA69ev7/d3BoMBDMOMesk0in12Q7GPOJ3m5mY0Nzdj2rRpUKlUmD59OrZv346kpCRHD23UsCyL0tJSPPHEE/j000+tWs+z1Isvvoi6ujq8++67/b7+5Zdf4ocffsB7770HANi4cSMWLVqEG2+8cdTGNs44x8OYg1FCzoH27t2Lhx9+GIcOHQKfz3f0cJyW6YYtkUiQn5+PkJAQiMVirFq1CsHBwRZdS6FQ4Pz580hPT7/srs3RwrIsqquroVarkZycbPeFv4sbgwcGBkIgECAgIKDfZzMMg6KiIgQHBztlMs7avn+metX79u1Dbm6uw38f8vLysGnTJigUCgQEBCA9PR379u1z6JjGIJqYOQmKf5fHsizkcjny8vIglUrR0dGBVatWQSQSISEhwaJFRdN9Mz4+3uK4aU/t7e2orKxEenq63XvIsiyLrq4uc2kvT09Pc2mvi0+C1dXVDas/zWhiGAanT5+Gj4+P1X1cS0pKcM8990AikVxSTs4RKP7ZHcU+J0Gxb3g0Gg2+/fZb5OTk4NSpU7j66qshFosxb948i0oxMgyDsrIyeHh4YNKkSU6TjDNtkJkwYcKo/B5oNBrI5XLI5XKwLGtuaXBxQtiUjEtLS3OqZHFTUxNaWlqsTsZ1d3dj/fr1uPfee3HzzTfbcIQjQ7HP7ij2EacnEolw3333YdmyZY4eypi2efNmc/Lv4MGDl8TeV199FRqNBk888QQA4Nlnn4WnpyceffRRRwx3PHCOBzIHo4ScA8XFxUGr1ZoXx+bMmXPJ0VnSH8uyqKyshEQiwa5du+Dn54esrCxkZmaCz+cPOdFqaWlBfX090tPTR70M02BMJVR0Oh2SkpJGfaLIMAza29shl8vR0dFhbgzu7++P06dPD9pc3FG0Wi0KCgqsTsYBo1Ovmjgdmpg5CYp/lmttbcWOHTsglUohk8lw7bXXIjs7G4mJiUPGjp6eHhQXF9vkvmlLbW1tqKqqcsgGGZZlzacHWltb4eLiAoFAAIFAgObmZrS3tztVMo5lWZw+fRpeXl6YOHGiVdcqKyvDnXfeia+++gqJiYk2GiFxchT7nATFPsvpdDocOHAAOTk5OHbsGObOnQuRSIQFCxYMOZ8zGo3m8r7O1P9aq9WisLAQcXFxDtkgo9PpzMk5vV5vTs4ZDAa7nVa3RnNzM5qampCenm5VMq6npwcbNmzAbbfdhj/84Q+2GyBxZhT7iFOrqanBggULzNUvyMgNp1w40HdCTqPR4Omnn+73OkrIjTpKyIEScuQKxrIszp07B6lUih07dsDNzQ1ZWVkQiUQIDQ3tt0BZVVWFzs5OpKWlWd3k2lZYlsWZM2fAMAymTJni8F2bpsbgMpkMjY2N8Pb2RkxMjE0ag9uCKRk3efJkq2s5f/HFF/jyyy+xe/dup5p0ErujiRkZEzo6OrBz505IpVLU1dVh2bJlEIvFlySR5HI5zp07h6lTp9q8F6s1FAoFqqurkZ6ePuqloQbS09MDuVyO+vp6GI1GTJgwAUKh0O6n9obDlIzz9PTEpEmTrLpWZWUlbrvtNmzbtg0pKSk2GiG5AlDsI2OCXq/HoUOHIJFIcOTIEUyfPh0ikQjXXHNNv40d3d3dqKyshFAoRGRkpANH3J/ptHpCQgKCgoIcPRzo9Xq0traisbERnZ2dCA8PR3h4OPz8/Bw+LwVsl4zr7e3FjTfeiHXr1uHee++14QiJk6PYR5xWd3c3Fi5ciM2bN2PNmjWOHs64UVdXh5UrV6K0tLTf16lk5ahz/EOGE6CE3DiSk5ODp556CuXl5Th+/PiYqlPOsizq6uoglUqxfft2MAyDzMxMiMVifPTRRzh//jw++ugjqx7mbYllWZSXl4PH41lcesyejEYjioqKwOfzERAQAJlMhtbWVnh4eJh7DzjidKFOp0NBQQHi4+OtnsDm5OTgo48+Qn5+Pnx8fGw0QnKFoInZODSWYx/QV2IqPz8fUqkUZ8+exeLFiyEWi6FSqfDXv/4V3333nVOdjJPJZKirq3Oq0+oAUF1dDZVKhfj4eHPPVaPRaD494IheOizLoqysDO7u7oiLi7PqWufPn8dNN92ETz75BBkZGTYaIblCUOwbh8Z67DMajTh8+DCkUikOHjyIlJQUiMVipKenY8OGDXj22WexdOlSRw/TrLe3F0VFRU53Wt3Ux3Xq1KnmzSkqlQqBgYEQCoUICAhwyDy1paUFDQ0NSE9Pt2pjqFarxc0334yVK1fiz3/+s9PMucmooNhHnJJer8fq1auxYsUKPPzww44ezph39uxZxMfHAwD+9a9/mTf2XEipVGL69Ok4deoUAGDatGk4efKkU2yeGaMoGIMScuNKeXk5uFwuNm7cOKYbB7Msi+bmZkgkErz11ltwd3fH9ddfjzVr1mDixIkOfxC/cIHNmfoZmJJxQqEQERER/f5uoMbgAoFgVMqMmZJxtijtsn37dvznP/9Bfn7+qDaPJU6DJmbj0HiJfUDfSa89e/bg3XffRUlJCcRiMTZs2IDZs2c7xYaU5uZmNDY2Ii0tzSmTcVOnTu13wlCn06G1tRUymQxarRYhISEQCoXw8fGxe+w2bdxxdXVFXFycVZ9XW1uLG264AR988AFmzpxpw1GSKwTFvnFoPMU+o9GIo0eP4rPPPsPXX3+N+fPn4/rrr8eyZcucYvOdWq1GSUkJkpKSnKosmSkZd3EfV4ZhzP3GOzs74e/vD4FAgKCgoFEp5WzauJORkWFVMk6n0+H222/HwoUL8dBDDznNnJuMGop9xOmwLIvbb78dQUFBePPNNx09nHFh7dq1qKysBJfLRUxMDLZs2YKIiAicOHECW7ZswQcffAAA+Oijj/DCCy8A6Os5d8cddzhy2GMdBWRQQm5cWrRo0ZifmLEsi0ceeQQqlQrPPPMMdu7cidzcXCiVSqxcuRJisdghJ9MYhkFpaSl8fHys7gNjS0ajEYWFhQgLC0N4ePiQr+3t7YVCoTA3Bjcl5+zRh82Wybj8/Hy8/vrryM/Pp50u4xdNzMax8RD7AGD37t149tln8dVXX6GkpAQ5OTk4efIk5s+fj+zsbMybN88hZYgbGxvR0tLiVKWjgb6TY2q1GsnJyUMuNBoMBvPJObVajeDgYHPPVVs/S7Asi4qKCri4uFidjGtoaMCGDRvw7rvvYu7cuTYcJbmCUOwbx8ZL7Kuvr0d2djZefPFFBAYGIicnB3v37sWECROQlZWFlStXOiQZ1t3djZKSEqcrHd3e3o7KyspLknEXY1kWHR0dkMvlUCqV8PHxgVAoRHBwsF02+sjlctTW1lqdjNPr9bjzzjsxc+ZMPPbYY5SMG58o9hGnc+TIEVx99dVISUkxzzteeOEFrFy50sEjI2RUUVAGJeTGpfEwMXv00UfB4XDwyiuv9HsAb2trw44dOyCVStHS0oIVK1YgOzsbiYmJdt/xxzAMSkpK4O/v71TNxQ0GA4qKihAeHo6wsDCL3qvVas3JOYPBgJCQEAgEApvsRtXr9SgoKMDEiRMREhJi1bW+/fZbvPDCC9izZ4/V1yJXNJqYjWPjIfbt378fzzzzDHbs2NFv44FOp8P3338PiUSCX375BXPmzIFIJMKCBQtGpYdbfX09WltbkZqa6hQn9UzOnTuH3t5eJCcnW7RYZzQazacHurq6EBgYCIFAgICAAKufJViWNe/ijI+Pt2oRsbm5GevWrcNbb72FBQsWWDUuckWj2DeOjYfY19bWhqVLl+Ldd9/FnDlzzF83zb1ycnKwZ88ehIWFISsrC6tXr7a6H/VwqFQqlJaWIjU11SFljwcz3GTcxViWRVdXF+RyOdra2uDp6QmBQICQkBCbnHo3JeOsLWltMBiwceNGJCYm4u9//zsl48Yvin2EEOKcKDCDEnJjztKlS9HS0nLJ159//nmIRCIA42Ni1tTUhLCwsCEfwDs6OrBr1y5IpVLU1NRg2bJlyM7ORmpqqs2Tc0ajEcXFxQgJCUFUVJRNr20Ng8GAwsJCREREWJyMu5ipMbhcLkdvb685Oefr62vxRMiUjJswYQL4fL5V4zp48CCefPJJ7NmzBwKBwKprkSseTczGKIp9fbq6usDhcIbcha/X6/Hjjz8iJycHhw8fxvTp0yESibB48WK7lCGura1Fe3u7XWLrSLEsi/Pnz48oGXcxhmHQ3t4OuVyOjo4O+Pn5mUt7WZp8NCXjOByO1af4ZTIZ1q5di3/+859YsmTJiK9DxgSKfWMUxb4+pnYFQ1X5MLUMkEgkyM/PR2BgoDk5Z+1cYyCdnZ0oLy9HamoqvLy8bH79kVIqlTh79izS09Otivksy5pbGrS2tsLFxcVcNWUkG30UCgWqq6uRkZFhVTLOaDTiz3/+M6KiovDcc89RMm58o9hHCCHOiYIzKCE3Lo2HiZmlVCoV8vPzIZVKUVlZiSVLlkAkEmHGjBlWLyCaykGGhoZe0pvNkUzJuMjISISGhtr02kaj0Zyc6+7uRlBQkPn0wOUmRrZMxh0+fBiPP/448vPzrU44kjGBJmbjGMW+SxmNRhw5cgQSiQQ//PADpk6dCpFIhKVLl9pkAfH8+fPo7u6+pDebI7Esi3PnzkGr1SIpKcmmi3Usy6Kzs9N8esDb29t8euBypbdYlsWZM2fAsiwmT55s1bhaW1uxZs0aPPfcc7j22mtHfB0yZlDsG8co9l2KZVmcPXsWEokEu3btgqenJ7KyspCVlQWhUGh1XDCdQEtLS7NLSf+RslUybiC9vb2QyWRQKBTgcDjm5NxwTuC1trbi/PnzVifjGIbBgw8+iICAALzyyitO89xBHIZiHyGEOCdKyIEScuMSTcyG1tPTg2+++Qa5ubkoLi7GwoULIRKJMGfOHIt3u9vyBJot6fV6FBYWIjo6GkKh0K6fNVBjcKFQiMDAwEsmSqZxxcTEWH2a7ZdffsGjjz6KXbt2ITIy0qprkTGDJmbjGMW+oTEMg6NHj0IikeC7775DfHw8srOzsXz5covLEJuSXhqNxuoTaLbEsiyqqqqg1+uRmJho13GxLIvu7m7IZDK0trbCw8MDAoEAfD7/kgVH0+Kw0WjElClTrBqXUqnEmjVr8I9//AOrV6+29tsgYwPFvnGMYt/QWJZFTU0NpFIp8vLywOPxkJmZCbFYjPDwcIvvx6akV1pamkXlIO2tra0NVVVVdknGXUyj0ZhbGhiNRvD5fAgEggHLdra1teHcuXNIT0+3qoQ2wzD4y1/+AldXV7z55puUjCMAxT5CCHFWzrE44GCUkBtH8vLysGnTJigUCgQEBCA9PR379u1z9LCcmkajwf79+yGRSHDy5EnMmzcP2dnZuOqqqy672300k16WcOS4WJY1l/Zqb2+Hr68vBAIBgoODwbIsCgoKbDKuEydOYNOmTdi5cydiYmJsNHoyBtDEbByi2Gc5hmFw6tQpSCQS7N27FzExMRCJRLjuuuvg7+8/5HtNySWDwWD3pJclHD0uU2kvhUIBHo/Xr7SXrZKEnZ2dWLNmDf76178iOzvbhqMnVziKfeMQxT7LsSyLxsZGc3JOp9MhMzMTIpEIMTExl70/t7a24ty5c8jIyBiV/qzDZUrGOWJcOp0Ora2tkMlk0Gq1CAkJgVAohI+PD5RKpU3GxTAMnnjiCWg0GvznP/+hZBwxodhHCCHOyTkWCByMEnKEDJNOp8PBgwchkUjwyy+/YNasWRCLxViwYMElkwidTofCwkKblF20JVueQLPWhY3BW1tbodVqERoaikmTJllVrqSwsBB/+tOfkJeXh4kTJ9pwxIP7y1/+gl27dsHNzQ2TJk3Cxx9/jICAgFH5bGIRmpgRYiGGYVBaWoqcnBzs2bMHQqEQIpEIq1atQlBQUL/XsiyLiooKcDgcq8su2pKpHCTDMFafQLOF3t5e8+mBnp4euLu7IyUlxaoyoSqVCuvWrcN9992H66+/3oajHRzFvisGxT5CLMSyLGQyGXJzc5Gbm4uuri6sWrUKYrEYcXFxl8QRuVyOmpoaq0962ZqpHKQzjMtgMJhbGnR1dcFoNCIpKQkhISEjjsssy+Lpp59Ga2sr3n//fYur2YwExb4rBsU+QghxTs6xSOBglJAjNrV371488MADMBqNuPvuu/G3v/3N0UOyC4PBgB9//BE5OTk4fPgwMjIyIBaLcc0110Amk+GPf/wjtm7d6nQn4woKChAbG+vwZNyFDAYDCgoKwOfzzb3n3NzczKW9LJk8lpaW4u6774ZEIkFCQoIdR93ft99+i8WLF8PFxQWPPfYYAODll18etc8nw0YTM2IX4yX2sSyL8vJySCQS7N69GwEBAcjKykJmZiYCAgJwxx134Oabb8a1117r8KSXiS17s9nauXPnoFarERQUBLlcDoPBgJCQEHNpr+GOVa1WY/369bj77rtxyy232HnUv6PYd8Wg2EfsZrzEP4VCge3btyM3NxcKhQLXXXcdRCIREhMT8cEHH6CqqgrPPfecVZsKbU2hUKC6utopknEXUiqVOHPmDKKjo9He3o6uri4EBARAIBAM2NJgMCzL4sUXX0RtbS22bt06Ksk4gGLfFYRiHyGEOCfnmZA7ECXkiM0YjUYkJCRg//79iIyMxMyZM/Hll18iKSnJ0UOzK6PRiJ9++gkSiQT79u1DT08P7rrrLtx3331W7Xa3JWc9sWc0GlFYWIjw8PB+PfZ6enrMpb2G2xi8vLwcd9xxB/73v/859HcuLy8PEokEX3zxhcPGQAZFEzNic+M19pn6sUkkEmzfvh1KpRJTp07FP//5T4SFhTlF4otlWVRWVgKA0yXjzp8/j56enn499vR6vfn0QG9vL4KDgyEUCuHr6zvo2Ht6enD99dfj5ptvxp133jma30I/FPucGsU+YhfjNf4plUrs3LkTubm5qKiogIuLC9566y3MnTvXacolmpJxGRkZTpUkbG9vR2VlJTIyMsy97BiGMbc06OjogJ+fHwQCAYKCggZNsrEsi9deew1lZWX4/PPPL9tKwl4o9jk1in2E2JjRaMSMGTMQERGB3bt3O3o45MrlPJNyB3LMkwsZk44fP464uDhzmcAbbrgBO3bsGPOTMh6PhwULFiAqKgqHDx/GI488gsrKSixevBjx8fEQi8VYsWIFfHx8HDI+Z0/GhYWF9UvGAYCXlxdiY2MRGxtrbgx++vRpMAxjbgx+YbLzzJkzuOOOO/D55587/Pfto48+GrVyYYQQxxuvsY/D4SA+Ph6PPPIITpw4gUWLFoHP5+MPf/gDuFwuVq9eDbFYjIiICIckwkzlM7lcLhISEpwqGVddXQ21Wo2pU6f2G5erq6s5JppOjNfW1qK7uxtBQUEQCAQICAgwv0ej0eDmm2/G+vXrcccddzjq2wFAsY+Q8Wi8xr+goCD84Q9/gEajQW9vL2688UZs2bIFjz76KJYuXQqxWIyMjAyHJedM5TOdLRnX0dGByspKpKenm5NxAMDlchEcHGzuKd7Z2Qm5XI6qqip4e3tDIBAgJCTEnHRjWRb/+te/UFhYiK+++sphyTiAYh8hZHx56623kJiYiK6uLkcPhZArHiXkiM00NjYiKirK/OfIyEgcO3bMgSMaPWfOnMGGDRvw4YcfYvr06QD6dvsVFBRAIpHg9ddfR3R0NLKysrBy5Ur4+/uPyrh0Oh0KCgowadIkhISEjMpnDofRaERRURHCwsIQHh4+5Gs9PDwQFRWFqKgo6HQ6KBQKVFZW4j//+Q98fX1xzTXX4LnnnsMnn3yC1NRUu4156dKlaGlpueTrzz//PEQikfm/XVxccPPNN9ttHIQQ5zKeY59Go8H69euxfPlybNq0CQDwyCOPoKmpCVKpFPfeey+0Wi0yMzMhEokQGxs7KokxU2lNFxcXxMfHO1UyrqamBiqV6pJk3MV4PB6EQiGEQiEYhoFSqURzczM+/PBDFBYWIjMzEzk5OVi1ahU2btxot++RYh8hZDDjOf69+eabOHjwIHbv3g13d3fceeed6O7uxjfffIN33nkHZWVluOaaayASiTBr1qxRK6cok8lQV1fndMm4zs5OVFRUID09fciKJxwOBwEBAQgICADLsuju7oZMJkNxcTFee+01rF69GgaDAUePHoVUKrXb90ixjxBC+mtoaEB+fj42b96M119/3dHDIeSKRwk5QmzAYDDg008/7ZcQ4nK5mD59OqZPn44XXngBpaWlyMnJQWZmJvh8PkQiEVavXo2goCC7jMmUjIuLi0NwcLBdPmMkTMk4oVB42WTcxdzc3BAREYGIiAi88sor2Lp1KzZv3gwej4f//e9/0Ol0mDVrll12pH733XdD/v3WrVuxe/duHDhwwKkWfwkhxF5YlsU999yDrKws89c4HA4iIiJw//33Y9OmTZDJZMjLy8ODDz6Izs5OrFq1CiKRyG6JMlMyztXVFXFxcU51P66trUVXVxemTp1qUZzicrkICQlBSEgIEhISsHfvXrz11luorq5GcHAwduzYgeXLl9ulTDbFPkIIuVR0dDRycnL69Wbz8fHB+vXrsX79evT29uLbb7/F1q1b8cADD+Dqq6+GSCTCvHnz7Haiy5SMS09Pd7pkXHl5+WWTcRfjcDjw9fWFr68v4uLiIBQK8frrr+PQoUNISUnBhx9+CLFYfEmlFVug2EcIIf09+OCDeOWVV6BSqRw9FELGBOcock7GhIiICNTX15v/3NDQgIiICAeOaPQkJSUNeTqLw+EgJSUFzzzzDH799Ve8/vrrUCgUWLt2LcRiMT766CPI5XJcpqfjsGm1WqdMxjEMg+LiYggEAqt/N3p6epCTk4NPPvkEhYWFuPrqq7Flyxakp6ejuLjYRiMenr179+KVV17Bzp07naZvICFkdIzn2Ofp6dkvGXcxDoeD0NBQ/OlPf8L+/fuxZ88eRERE4PHHH8fChQvx4osvoqyszGaxj2VZlJWVwc3NzemScXV1dejo6LA4GTeQr7/+GqtWrUJDQwPuv/9+HDt2DPPnz8d//vMfG412eCj2ETK+jef4t2bNmn7JuIt5enpCJBLhs88+w8mTJ5GZmYmvv/4ac+fOxf3334/vv/8eer3eZuNpaWlxypNxXV1dKC8vR1pamkXJuIEUFRWhvb0dtbW1+Pjjj6HX63HTTTdh/fr1Nhrt8FDsI4SMN7t374ZAIDBXAyOEWI9zmUUQam5Khs1gMCAhIQEHDhxAREQEZs6ciW3btiE5OdnRQ3NaLMvi3LlzkEgk2LlzJ9zd3c2lvUJDQ0e0mKjValFYWIj4+Hi7nb4bCVMyLjg4uF95m5FoaWnB2rVr8cYbb2DRokX9/s40uR3NyWhcXBy0Wq05+Tlnzhxs2bJl1D6fDBs19yY2R7FvZNrb27Fz505IpVLU19dj2bJlyM7ORkpKyogSVqZknLu7OyZNmuR0yTilUonU1FSrknFGoxEbN25EQkICnnzyyX7fI8uy0Gg08PT0tMWQh4Vi3xWDYh+xC4p/ltPr9fjhhx8glUpx+PBhzJgxA2KxGIsWLerXV80SLS0taGhoQHp6ukP7qV2sq6sLZWVlSEtLszo2/e9//8Nnn32G3bt3w9vbu9/f9fb2UuwjA6HYR4iNPP744/jss8/g4uICjUaDrq4urFmzBp9//rmjh0auTM4zUXcgSsgRm9qzZw8efPBBGI1G3Hnnndi8ebOjh3TFYFkWtbW1kEql2L59OwBg9erVEIvFiIyMHNbiokajQWFhIRISEpwyGRcUFITo6GirriWXy7FmzRq88sorWLp0qY1GSMYJmpgRu6DYZ52uri7s3r0bUqkUVVVVWLJkCcRiMaZNmzasBBbLsjh9+jQ8PT0xadKkURjx8NXX16O1tRVpaWlWJ+M2bdqEsLAwvPDCC06VcCROj2IfsRuKfyNnMBhw5MgRSCQS/PDDD0hNTYVYLMaSJUuGnWBqbm5GY2Oj0yXjVCoVSktLkZaWZvUpMqlUivfffx/5+fnw9fW10QjJOECxjxA7+OGHH/Dqq69i9+7djh4KuXLRRBaUkCPEKbEsi6amJkilUuTl5UGj0WD16tUQiUSYMGHCgAtxpmTc5MmTERgY6IBRD4xhGJSUlCAgIAAxMTFWXau1tRVr167FM888g+uuu85GIyTjCE3MCHFy3d3d+OabbyCVSnH69GksWrQIYrEYs2bNAo/Hu+T1DMPg9OnT8Pb2xsSJEx0w4sE1NDRAoVBYnYxjGAYPPvgg/P398c9//tMufVLJmEaxjxAnZzQa8csvv0AqleK7777DlClTIBaLsXz58ktOhJk0NTWhubkZ6enpA8ZHR7FlMm7nzp3417/+hfz8fAQEBNhmgGS8oNhHiB1QQo7YACXkQAk5Qpwey7KQy+XIy8tDbm4uOjo6sHLlSohEIiQkJIDD4eDcuXPYs2cPbr31VqearDAMg9LSUvj5+SE2Ntaqa7W3t2PNmjXYvHnzkD2LCBkCTcwIuYJoNBp8++23yMnJQUFBAebPnw+xWIx58+bBxcUFOp0Or732GjZs2OB0J+MaGxshk8mQlpZm1UIpwzB47LHHwOFw8Pbbb1MyjowExT5CriAMw+DkyZPIycnBvn37MHHiRGRlZeG6666Dn58fAGDr1q2IiYnBggULnCoZ193djZKSEqSmpg6aSBwuU6+2PXv2OFXlF3LFoAVfQgghTosScuSKduedd5objJaWljp6OKOira0N27dvh1QqhVwux/z587F79268/vrrTlXC0ZbJuM7OTqxduxaPPPII1q5da5sBkvGIFiXJmDAeY59Op8OBAweQk5ODY8eOYfbs2Thz5gxmzJiBF154wdHD66epqQktLS02Scb9/e9/R09PD959911KxpGRothHxoTxGPtMZf9zcnLwzTffIDw8HKGhoSgqKsLu3budqoSjLZNxBw4cwLPPPov8/Hzw+XwbjZCMM5SQI4QQ4rQoIUeuaD/++CN8fHxw2223jZuJ2YWKi4uRmZmJxMREyGQyLFu2DGKxGKmpqQ5duGNZFqWlpfDx8cGECROsupZKpcK6devw5z//GTfccIONRkjGKVqUJGPCeI99PT09uPbaawEASqUS06dPh0gkwjXXXAN3d3eHjs1WJcRYlsUzzzwDuVyODz74wKlOQJArDsU+MiaM99hnigtffPEFAgMDERAQAJFIhNWrVyMkJMShY1Or1SguLkZKSgp8fHysutaPP/6IJ554Avn5+RAKhTYaIRmHKCFHCCHEaTlP519CRmDBggWoqalx9DAcoqamBrfffjtycnIwa9YsdHV1IT8/H2+88QbOnDmDxYsXQywWY/r06aOanGNZ1tzPx9pknFqtxg033IB77rmHknGEEPKb8Rz7dDodbr31VmRnZ+Ohhx6C0WjE4cOHIZFI8I9//AMpKSkQi8VYunQpPD09R3Vszc3NNkvGvfTSS2hoaMCnn35KyThCCMH4jn0A8N577+H48eMoLi6Gu7s7zp49C4lEgg0bNsDLywsikQiZmZkQCoUD9hu3F1sm43766Sf8v//3/7B7925KxhFCCCFkzKITcuSKV1NTg9WrV4+7nZL3338/brvtNsyYMeOSv+vp6cGePXsglUpRWlqKhQsXQiwWY/bs2XZd2GNZFmVlZfDw8LC6n09vby+uv/563HjjjbjrrrtsNEIyztEpATJmjNfY99VXX6GlpQUPPPDAJX9nNBpx9OhRSKVSfPfdd0hISEB2djaWL19udfmsy2lpaUFDQwPS09Ph4jLy/W4sy+KNN95AcXExtm3bZtW1CPkNxT4yZozX2CeTyfDggw9i69atl5wEZ1kW1dXVkEql2L59O3g8HrKysiAWixEWFmbX5FxPTw+Ki4uRnJxsdfnMY8eO4aGHHsKuXbsQFRVloxGScYxOyBFCCHFalJAjV7zxOjEbLo1Gg/379yMnJwenTp3CVVddhezsbMybN8+mC32mZJy7uzsmTZpk1eRPo9Hgpptugkgkwh//+MdR3eVJxjRalCRjBsW+oTEMg5MnT0IikWDfvn2IjY2FSCTCddddBz8/P5t+lkwmQ319vU2Scf/+97/xyy+/4KuvvoKbm5sNR0nGMYp9ZMyg2Dc0lmXR0NAAqVSKvLw8GAwGZGZmIisrCzExMTadU9kyGXfq1Cn8+c9/xo4dO6zuPU7Ib2gBgRBCiNOihBy54tHEbPh0Oh2+//57SCQSHD16FLNnz4ZYLMbVV19t1cIfy7IoLy+Hq6sr4uLirJrs6XQ63HLLLVi2bBnuv/9+SsYRW6JFSTJmUOwbPoZhUFJSgpycHOzZswdhYWEQiURYtWoVAgMDrbq2TCZDXV0dMjIyrE7Gvf/++/juu+8glUod3guPjCkU+8iYQbFv+FiWRUtLC3Jzc5Gbm4vu7m6sWrUKIpHI6vlab28vioqKkJSUZPUml6KiImzcuBFSqRTx8fFWXYuQC9AiAiGEEKdFCTlyxaOJ2cgYDAYcOnQIOTk5OHLkCKZNmwaRSITFixdbtBDIsiwqKirA4/EQHx9v1eROr9fjD3/4A+bNm4dHH32UknHE1mhRkowZFPtGxnSaWyKRID8/H4GBgcjKysLq1avB5/MtupZcLkdtbS3S09Ph6upq1Zi2bt2KXbt2Yfv27fDw8BjxtQgZAMU+MmZQ7Bs5hUKBvLw85Obmoq2tDddddx1EIhGmTJli0ZzLlIxLTEyEv7+/VWM6ffo07rrrLnz99deYMmWKVdci5CK0kEAIIcRpUUKOXNFuvPFG/PDDD2htbYVQKMTTTz9N/cZGwGg04siRI5BKpTh48CCmTp0KkUiEpUuXwsvLa9D3sSyLyspKcDgcJCQkWJVAMxgMuOuuu5Ceno7/9//+HyXjiD3QoiQZEyj22QbLsjh79iwkEgl27doFT09PZGVlISsrC0KhcMg4pFAoUF1djYyMDKuScQDw2Wef4euvv8auXbuGjLmEjBDFPjImUOyzHaVSiZ07d0IqlaKxsRHLly9HdnY2kpOTweVyB32fRqNBYWGhTZJxFRUV+MMf/oBt27Zh6tSpVl2LkAHQYgIhhBCnRQk5Qkg/DMPg6NGjkEql2L9/P+Lj45GdnY3ly5fDx8en3+tOnz4NV1dXTJ482aoEmtFoxJ/+9CdMnDgRTz/9NCXjiL3QoiQhZEAsy6Kmpsbcd4fH4yEzMxNisRjh4eH94lJ9fT2am5ttkoz7+uuvsXXrVuTn58Pb29vab4OQgVDsI4QMqrOzE7t374ZUKsW5c+ewbNkyiEQiZGRk9EvOdXR0oKKiAlOmTEFAQIBVn1lVVYVbbrkFn332GdLS0qz8DggZEC0oEEIIcVqUkCPEAvX19bjtttsgk8nA4XBw77334oEHHnD0sOyGYRicOnUKEokEe/fuRUxMDEQiEVasWIHHH38cQqEQTz31lNXJuPvvvx9CoRAvvPDCkLsybenvf/87duzYAS6XC4FAgK1btyI8PHxUPps4DC1KEjIC4y32sSyLxsZGSKVS5ObmQq/XIzMzEyKRCCdPnsSWLVuQn59vVe9VAMjLy8N7772H3bt3W92DxxIU/8Ydin2EjMB4i30A0N3djT179kAikaC8vByLFy+GSCSCQCDAunXr8PXXXyMuLs6qz6ipqcGNN96Ijz76CNOnT7fRyC+PYt+4Qwk5QgghTosScoRYoLm5Gc3NzZg2bRpUKhWmT5+O7du3IykpydFDszuGYVBaWoqvv/4an376KQQCAe6++26sXr0aQUFBI77mww8/DG9vb7z22mujlowDgK6uLvMC6Ntvv42ysjJs2bJl1D6fOAQtShIyAuM59rEsC5lMhtzcXHzwwQdoaWnBH/7wB1x//fWIi4sb8YaU3bt348033zT3sRtNFP/GHYp9hIzAeI59QF+vuH379uGzzz7DoUOHcN111+GWW27B3Llz4eLiMqJr1tfXY8OGDfjvf/+L2bNn23jEQ6PYN+5QQo4QQojTGr3Vb0LGgLCwMEybNg0A4Ovri8TERDQ2Njp4VKODy+UiJSUFLMtixYoV2Lp1K+RyOdauXQuxWIyPP/4YCoUCl0nymzEMg7/97W9wdXUd9WQcgH6nEdRqNZXJJISQQYzn2MfhcBAaGoopU6bAxcUFBw4cwIQJE/DYY49h4cKFeOmll1BWVjbs2AcA+/btw+uvv45du3aNejIOoPhHCCHDMZ5jHwB4enpi3rx5qKurw7Zt23DDDTfgf//7H+bNm4cHHngABw8ehF6vH/b1mpqacMMNN+Cdd94Z9WQcQLGPEEIIIc6DTsgRMkI1NTVYsGABSktLR7XUlCM988wzqKmpwQcffGBOoLEsi6qqKkgkEuzatQseHh7m0l5CoXDAyQ7DMHjyySfR1dWF9957b9STcSabN2/Gp59+Cn9/fxw8eBB8Pt8h4yCjhk4JEGKl8Rj7jhw5goceegj5+fkQCATmryuVSuzcuRO5ubmor6/H8uXLkZ2djalTpw4a177//ns8/fTT2LNnj0NjDsW/cYViHyFWGo+xT6lU4tprr8VLL72ExYsXm7+u1+tx8OBBSKVSHDlyBDNnzoRYLMaiRYsGLeXc0tKC9evX49VXX8U111wzWt/CJSj2jSuUcSWEEOK0KCFHyAh0d3dj4cKF2Lx5M9asWePo4YyakydPIj09HTweb8C/Z1kWtbW1kEqlyMvLA5fLxerVqyEWixEREQEOhwOWZfHcc8+hqakJH3300aDXsoWlS5eipaXlkq8///zzEIlE5j+/+OKL0Gg0ePrpp+02FuIUaFGSECuM19hXX18PV1dXhIaGDvqazs5O7N69G7m5uaiqqsLSpUshFouRkZFhTs79+OOP2Lx5M/Lz84e8li1Q/CMXoNhHiBXGa+zT6/UoLS1FRkbGoK8xGAw4cuQIcnJycOjQIaSlpUEsFmPJkiXw8PAAACgUCqxZswYvvvgili9fbtcxU+wjF6CEHCGEEKdFCTlCLKTX67F69WqsWLECDz/8sKOH47RYlkVTU5M5OafVarF69WrIZDIoFAp8+umnI+4/YGt1dXVYuXIlSktLHT0UYl+0KEnICFHsG77u7m588803kEgkKCsrwzXXXINJkyZh69at2L17NyIiIhw9RDOKf+MCxT5CRohi3/AZjUb88ssvkEgkOHDgABITE7FkyRK8//77ePrpp7Fq1SpHD9GMYt+4QAk5QgghTosScoRYgGVZ3H777QgKCsKbb77p6OFcMViWhVwux7Zt2/D111/jxx9/hKurq0PHdPbsWcTHxwMA/vWvf+HQoUOQSCQOHROxO1qUJGQEKPaNXG9vL7799ls8+eST+OqrrzB58mRHD4ni3/hDsY+QEaDYN3IMw+DEiRN44YUXMHPmTGzevNnRQ6LYN/5QQo4QQojTooQcIRY4cuQIrr76aqSkpJhLUL3wwgtYuXKlg0dGLLV27VpUVlaCy+UiJiYGW7ZscapTC8QuaFGSkBGg2De2UPwbdyj2ETICFPvGFop94w4l5AghhDgtSsgRQggZL2hRkhBCyHhDsY8QQsh4Qwk5QgghTovr6AEQQgan0Wgwa9YspKWlITk5GU8++aSjh0QIIYTYHcU/Qggh4w3FPkIIIYSQsY9OyBHixFiWhVqtho+PD/R6PebPn4+33noLc+bMcfTQCLkS0SkBQq4QFP8IsRmKfYRcISj2EWIzdEKOEEKI06ITcoQ4MQ6HAx8fHwCAXq+HXq8Hh0PPloQQQsY2in+EEELGG4p9hBBCCCFjHyXkCHFyRqMR6enpEAgEWLZsGWbPnu3oIRFCCCF2R/GPEELIeEOxjxBCCCFkbKOEHCFOjsfjobCwEA0NDTh+/DhKS0sdPSRCCCHE7ij+EUIIGW8o9hFCCCGEjG2UkCPkChEQEIBrrrkGe/fudfRQCCGEkFFD8Y8QQsh4Q7GPEEIIIWRsooQcIU5MoVCgo6MDANDb24v9+/djypQpjh0UIYQQYmcU/wghhIw3FPsIIYQQQsY+F0cPgBAyuObmZtx+++0wGo1gGAYbNmzA6tWrHT0sQgghxK4o/hFCCBlvKPYRQgghhIx9HJZlh/r7If+SEEIIuYJwLHgtxT9CCCFjAcU+Qggh440lsY8QQggZVVSykhBCCCGEEEIIIYQQQgghhBA7ooQcIWRARqMRGRkZVCaFEELIuEGxjxBCyHhE8Y8QQgghZHRQQo4QMqC33noLiYmJjh4GIYQQMmoo9hFCCBmPKP4RQgghhIwOSsgRQi7R0NCA/Px83H333Y4eCiGEEDIqKPYRQggZjyj+EUIIIYSMHkrIEUIu8eCDD+KVV14Bl0u3CEIIIeMDxT5CCCHjEcU/QgghhJDRQ09chJB+du/eDYFAgOnTpzt6KIQQQsiooNhHCCFkPKL4RwghhBAyuighRwjp56effsLOnTsRGxuLG264Ad9//z1uueUWRw+LEEIIsRuKfYQQQsYjin+EEEIIIaOLw7LsUH8/5F8SQsa2H374Aa+++ip2797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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.colors import LogNorm\n", "\n", "n_components=4\n", "clf = sklearn.mixture.GaussianMixture(n_components=n_components, covariance_type=\"full\")\n", "clf.fit(data)\n", "\n", "# display predicted scores by the model as a contour plot\n", "x = np.linspace(-4.0, 4.0)\n", "y = np.linspace(-4.0, 4.0)\n", "X, Y = np.meshgrid(x, y)\n", "XX = np.array([X.ravel(), Y.ravel()]).T\n", "Z = -clf.score_samples(XX)\n", "Z = Z.reshape(X.shape)\n", "\n", "CS = plt.contour(\n", " X, Y, Z, norm=LogNorm(vmin=0.10, vmax=10.0), levels=np.logspace(0, 2, 50)\n", ")\n", "CB = plt.colorbar(CS, shrink=0.8, extend=\"both\")\n", "plt.scatter(data.X, data.Y, 0.8)\n", "\n", "plt.title(\"Negative log-likelihood predicted by a GMM\")\n", "plt.axis(\"tight\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(25, 10))\n", "for i in range(1,n_components+1):\n", " ax = fig.add_subplot(1,n_components,i, projection='3d')\n", " probs=clf.predict_proba(data)\n", " surf = ax.plot_trisurf(data.X, data.Y, probs[:,i-1], cmap=cm.jet, linewidth=0)\n", " ax.set_title(f\"Cluster {i-1}\")\n", "fig.colorbar(surf,shrink=0.4)\n", "\n", "ax.xaxis.set_major_locator(MaxNLocator(5))\n", "ax.yaxis.set_major_locator(MaxNLocator(6))\n", "ax.zaxis.set_major_locator(MaxNLocator(5))\n", "\n", "fig.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "022d5e8c", "metadata": {}, "source": [ "# Dirichlet Process Bayesian Mixture" ] }, { "cell_type": "code", "execution_count": 24, "id": "c3bc733d", "metadata": {}, "outputs": [], "source": [ "# Authors: The scikit-learn developers\n", "# SPDX-License-Identifier: BSD-3-Clause\n", "\n", "import matplotlib as mpl\n", "import matplotlib.gridspec as gridspec\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from sklearn.mixture import BayesianGaussianMixture\n", "\n", "def plot_ellipses(ax, weights, means, covars):\n", " for n in range(means.shape[0]):\n", " eig_vals, eig_vecs = np.linalg.eigh(covars[n])\n", " unit_eig_vec = eig_vecs[0] / np.linalg.norm(eig_vecs[0])\n", " angle = np.arctan2(unit_eig_vec[1], unit_eig_vec[0])\n", " # Ellipse needs degrees\n", " angle = 180 * angle / np.pi\n", " # eigenvector normalization\n", " eig_vals = 2 * np.sqrt(2) * np.sqrt(eig_vals)\n", " ell = mpl.patches.Ellipse(\n", " means[n], eig_vals[0], eig_vals[1], angle=180 + angle, edgecolor=\"black\"\n", " )\n", " ell.set_clip_box(ax.bbox)\n", " ell.set_alpha(weights[n])\n", " ell.set_facecolor(\"#56B4E9\")\n", " ax.add_artist(ell)" ] }, { "cell_type": "code", "execution_count": 25, "id": "ea0f3b06", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters of the dataset\n", "random_state, n_components, n_features = 2, 4, 2\n", "colors = np.array(['black',\"red\", \"orange\", \"blue\", \"green\"])\n", "\n", "X=data.values\n", "y = np.concatenate([np.full(60, j, dtype=int) for j in range(n_components)])\n", "y=y_true\n", "estimator=BayesianGaussianMixture(\n", " weight_concentration_prior_type=\"dirichlet_process\",\n", "# weight_concentration_prior_type=\"dirichlet_distribution\",\n", " n_components=2 * n_components,\n", " reg_covar=0,\n", " init_params=\"random\",\n", " max_iter=1500,\n", " mean_precision_prior=0.8,\n", " random_state=random_state,\n", " )\n", "estimator.weight_concentration_prior = 1\n", "estimator.fit(X)\n", "fig = plt.figure()\n", "#plt.subtitle(r\"%s$%.1e$\" % (\"Infinite mixture with a Dirichlet process\\n prior and\" r\"$\\gamma_0=$\", concentration),)\n", "ax1=plt.subplot(121)\n", "\n", "ax1.scatter(data.X, data.Y, s=5, marker=\"o\", color=colors[y_true], alpha=0.8)\n", "ax1.set_xlim(-4.0, 4.0)\n", "ax1.set_ylim(-4.0, 4.0)\n", "ax1.set_xticks(())\n", "ax1.set_yticks(())\n", "plot_ellipses(ax1, estimator.weights_, estimator.means_, estimator.covariances_)\n", "\n", "ax1.set_title(\"Estimated Mixtures\")\n", "\n", "ax2=plt.subplot(122)\n", "ax2.get_xaxis().set_tick_params(direction=\"out\")\n", "ax2.yaxis.grid(True, alpha=0.7)\n", "for k, w in enumerate(estimator.weights_):\n", " ax2.bar(\n", " k,\n", " w,\n", " width=0.9,\n", " color=\"#56B4E9\",\n", " zorder=3,\n", " align=\"center\",\n", " edgecolor=\"black\",\n", " )\n", " ax2.text(k, w + 0.007, \"%.1f%%\" % (w * 100.0), horizontalalignment=\"center\")\n", "ax2.set_xlim(-0.6, 2 * n_components - 0.4)\n", "ax2.set_ylim(0.0, 1.1)\n", "ax2.tick_params(axis=\"y\", which=\"both\", left=False, right=False, labelleft=False)\n", "ax2.tick_params(axis=\"x\", which=\"both\", top=False)\n", "\n", "ax2.set_title(\"Weight of each component\")\n", "\n", "plt.show()" ] } ], "metadata": { "hide_input": false, "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": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 5 }