diff --git a/lectures/Giulia/15_DBSCAN-light.ipynb b/lectures/Giulia/15_DBSCAN-light.ipynb new file mode 100644 index 0000000..c2f841d --- /dev/null +++ b/lectures/Giulia/15_DBSCAN-light.ipynb @@ -0,0 +1,4008 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "![](../files/img/330-banner.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "# Lecture 15: DBSCAN and Hierarchical Clustering\n", + "\n", + "UBC 2022-23\n", + "\n", + "Instructor: Giulia Toti" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Imports " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "import os\n", + "import random\n", + "import sys\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "sys.path.append(\"../code/.\")\n", + "from plotting_functions import *\n", + "from plotting_functions_unsup import *\n", + "import matplotlib.pyplot as plt\n", + "import mglearn\n", + "import seaborn as sns\n", + "from ipywidgets import interactive\n", + "from plotting_functions import *\n", + "from plotting_functions_unsup import *\n", + "from scipy.cluster.hierarchy import dendrogram, fcluster, linkage\n", + "from sklearn import cluster, datasets, metrics\n", + "from sklearn.cluster import DBSCAN, AgglomerativeClustering, KMeans\n", + "from sklearn.datasets import make_blobs, make_moons\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.metrics.pairwise import euclidean_distances\n", + "from sklearn.preprocessing import StandardScaler\n", + "from yellowbrick.cluster import SilhouetteVisualizer\n", + "\n", + "plt.rcParams[\"font.size\"] = 16\n", + "%matplotlib inline\n", + "pd.set_option(\"display.max_colwidth\", 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "## Announcements\n", + "\n", + "- Homework 6 due tomorrow (Mar 15).\n", + "- Homework 7 will be released tonight or on Thursday (March 16).\n", + "- Final exam announced: April 20, at 19:00 PM (in CIRS 1250 or BIOL 1000, stay tuned for how we will use rooms)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Learning outcomes\n", + "\n", + "From this lecture, students are expected to be able to:\n", + "\n", + "- Identify limitations of K-Means.\n", + "- Broadly explain how DBSCAN works.\n", + "- Apply DBSCAN using `sklearn`. \n", + "- Explain the effect of epsilon and minimum samples hyperparameters in DBSCAN. \n", + "- Explain the difference between core points, border points, and noise points in the context of DBSCAN. \n", + "- Identify DBSCAN limitations.\n", + "- Explain the idea of hierarchical clustering.\n", + "- Visualize dendrograms using `scipy.cluster.hierarchy.dendrogram`. \n", + "- Explain the advantages and disadvantages of different clustering methods. \n", + "- Apply clustering algorithms on image datasets and interpret clusters. \n", + "- Recognize the impact of distance measure and representation in clustering methods. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "



" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Recap and motivation [(video)](https://www.youtube.com/watch?v=1ZwITQyWpkY)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means recap \n", + "- We discussed K-Means clustering in the previous lecture. \n", + "- Each cluster is represented by a center. \n", + "- Given a new point, you can assign it to a cluster by computing the distances to all cluster centers and picking the cluster with the smallest distance. \n", + "- It's a popular algorithm because \n", + " - It's easy to understand and implement.\n", + " - Runs relatively quickly and scales well to large datasets. \n", + " - `sklearn` has a more scalable variant called [`MiniBatchKMeans`](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.MiniBatchKMeans.html) which can handle very large datasets. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means limitations\n", + "\n", + "- Relies on random initialization and so the outcome may change depending upon this initialization. \n", + "- K-Means clustering requires to specify the number of clusters in advance.\n", + "- Very often you do not know the centers in advance. The elbow method or the silhouette method to find the optimal number of clusters are not always easy to interpret. \n", + "- Each point has to have a cluster assignment. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means limitations: Shape of K-Means clusters\n", + "\n", + "- K-Means partitions the space based on the closest mean. \n", + "- Each cluster is defined solely by its center and so it can only capture relatively simple shapes. \n", + "- So the boundaries between clusters are linear; It fails to identify clusters with complex shapes. \n", + "[Source](https://scikit-learn.org/stable/auto_examples/cluster/plot_kmeans_digits.html).\n", + "\n", + "\n", + "\n", + "
\n", + "\"\" \n", + "
\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means: failure case 1\n", + "\n", + "- K-Means performs poorly if the clusters have more complex shapes (e.g., two moons data below). " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_moons(n_samples=200, noise=0.05, random_state=42)\n", + "plot_X_k_means(X, k=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means: failure case 2\n", + "\n", + "- It assumes that all directions are equally important for each cluster and fails to identify non-spherical clusters. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# generate some random cluster data\n", + "X, y = make_blobs(random_state=170, n_samples=200)\n", + "rng = np.random.RandomState(74)\n", + "transformation = rng.normal(size=(2, 2))\n", + "X = np.dot(X, transformation)\n", + "plot_X_k_means(X, 3)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means: failure case 3 \n", + "\n", + "- Again, K-Means is unable to capture complex cluster shapes. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = datasets.make_circles(n_samples=200, noise=0.06, factor=0.4)[0]\n", + "plot_X_k_means(X, 2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- Can we do better than this? \n", + "- Another clustering algorithm called DBSCAN is able to tackle some of these cases. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "





" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## DBSCAN [(video)](https://www.youtube.com/watch?v=T4NLsrUaRtg)\n", + "\n", + "- **D**ensity-**B**ased **S**patial **C**lustering of **A**pplications with **N**oise" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### DBSCAN introduction\n", + "\n", + "- DBSCAN is a density-based clustering algorithm. \n", + "- Intuitively, it's based on the idea that clusters form dense regions in the data and so it works by identifying \"crowded\" regions in the feature space. \n", + "- It can address some of the limitations of K-Means we saw above. \n", + " - It does not require the user to specify the number of clusters in advance. \n", + " - It can identify points that are not part of any clusters. \n", + " - It can capture clusters of complex shapes. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Let's try `sklearn`'s DBSCAN. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_moons(n_samples=200, noise=0.08, random_state=42)\n", + "dbscan = DBSCAN(eps=0.2)\n", + "dbscan.fit(X)\n", + "plot_X_dbscan(X, dbscan)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0,\n", + " 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0,\n", + " 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1,\n", + " 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1,\n", + " 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 1,\n", + " 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0,\n", + " 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1,\n", + " 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1,\n", + " 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0,\n", + " 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0,\n", + " 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0,\n", + " 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, -1, 1, 1])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dbscan.labels_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- DBSCAN is able to capture half moons shape\n", + "- We don't not have to specify the number of clusters. \n", + " - That said, it has two other non-trivial hyperparameters to tune. \n", + "- There are two examples which have not been assigned any label (noise examples). " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "One more example of DBSCAN clusters capturing complex cluster shapes. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = datasets.make_circles(n_samples=200, noise=0.06, factor=0.4)[0]\n", + "dbscan = DBSCAN(eps=0.3, min_samples=3)\n", + "dbscan.fit(X)\n", + "plot_X_dbscan(X, dbscan)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### How does it work?\n", + "\n", + "- Iterative algorithm. \n", + "- Based on the idea that clusters form dense regions in the data. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Two main hyperparameters\n", + "- `eps`: determines what it means for points to be \"close\"\n", + "- `min_samples`: determines the number of **neighboring points** we require to consider in order for a point to be part of a cluster" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Effect of `eps` hyperparameter\n", + "\n", + "- `eps`: determines what it means for points to be \"close\"" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "scrolled": true, + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "X, y = make_blobs(random_state=0, n_samples=11)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " 0 1 2 3 4 5 6 \\\n", + "0 0.000000 4.149512 0.332095 3.637398 1.468503 3.640916 3.124431 \n", + "1 4.149512 0.000000 3.821671 5.427714 5.617833 4.137181 2.910477 \n", + "2 0.332095 3.821671 0.000000 3.692209 1.796596 3.555578 2.937847 \n", + "3 3.637398 5.427714 3.692209 0.000000 3.991555 1.535625 2.559670 \n", + "4 1.468503 5.617833 1.796596 3.991555 0.000000 4.507219 4.311101 \n", + "5 3.640916 4.137181 3.555578 1.535625 4.507219 0.000000 1.243674 \n", + "6 3.124431 2.910477 2.937847 2.559670 4.311101 1.243674 0.000000 \n", + "7 0.911272 4.830950 1.193839 3.078516 1.072565 3.447353 3.253476 \n", + "8 3.283718 1.180379 2.976718 4.253314 4.732056 3.013883 1.771561 \n", + "9 3.289419 4.465344 3.257210 0.989059 4.001437 0.645802 1.575484 \n", + "10 4.427098 1.347556 4.132565 4.694590 5.849187 3.238439 2.158345 \n", + "\n", + " 7 8 9 10 \n", + "0 0.911272 3.283718 3.289419 4.427098 \n", + "1 4.830950 1.180379 4.465344 1.347556 \n", + "2 1.193839 2.976718 3.257210 4.132565 \n", + "3 3.078516 4.253314 0.989059 4.694590 \n", + "4 1.072565 4.732056 4.001437 5.849187 \n", + "5 3.447353 3.013883 0.645802 3.238439 \n", + "6 3.253476 1.771561 1.575484 2.158345 \n", + "7 0.000000 3.843925 2.966927 4.904326 \n", + "8 3.843925 0.000000 3.299630 1.194950 \n", + "9 2.966927 3.299630 0.000000 3.705648 \n", + "10 4.904326 1.194950 3.705648 0.000000 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame(euclidean_distances(X, X))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Effect of `min_samples` hyperparameter" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "interactive(lambda min_samples=1: plot_dbscan_with_labels(X, eps=1.0, min_samples=min_samples), min_samples=(1, 5, 1),)\n", + "plot_dbscan_with_labels(X, eps=1.0, min_samples=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### More details on DBSCAN" + ] + }, + { + "attachments": { + "DBSCAN.png": { + "image/png": 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AApwsj+ol+BXwf/zHfxxEZwg/5BQCKMRUnL2k2iKLEFZkkFuu5ZVpS9cyKHNyhnxOeHL4Zr3auCY7E1LK6dYOKWsMkdFvZKNLmnzsmlPj/ru/+7v94zDmr/mar9nvgGqbx9v1m6A8Yw85zBZjXhdiQ+q05VAbhxOlxi+wTTCmmXxzLepLWOrzfkxtc1pWW1E/MybazW21oZNuayIh/S/7ojO2RlZZ5iQEp3F99KMfHdjSy4ZTTz119Q3f8A37bfRuTeVZN2wnyyZlUvVsmW3W7zym2KHMWLL22DWPI3JSMvTTSyZ9LPuZ2zRfBA4XAetJzHrVfs4fTN+h1uLB9Byq7dzvOj1z+zk/t9vE/E5tXTdm40E6Xve61x3vDvb+4NzzZ71z/nAwmPucdczl9KUu6bL+cPqsbBEoAlcvAp/7r+nq7afai0ARKAJFoAgUgSJQBHaIQBypiCPe/vmf/3n8qAzyTfzGb/zGQZghjRI4XnEA44QlJYdAEpSJ87U+o2vuP7JpNxQs/mwnTyx10lnXXKdcvTjbiXD70Ic+NMqMSwzhBoOEtKVHmPXNdXN92kojM5eRTYxMyLnt5JWvCylPSia6pXP53F5d5lN5SD/5tMkcKhNS/pmrzxC0dCiHLcIx5PlHPvKRgad+TjzxxHG6kwyMIx99s73LPtNX0sjmWoog9c69EOj6QKqHzMzaSxs69J00dqS+aRG4qhCY15b1dqhAfm6znfx2unbSdta51HO47WddV1eeTUs7577U79TudXrcc253u9ut3vKWt+xX6x6yDDvtY9lu7jM6lvckbdyvhMjM7UZF/xSBIrAxCFzxDrExptWQIlAEikARKAJFoAgUAQh8+MMfXp1zzjkr7xBzQlH8pm/6pkEWcbo4ZZxBESmKWEJwccycgPF+xjiG5DloZBBPUjHvQlOvHZk4curTRkq3PkNUIR7j/KU9u+MsKpttjF7ly6idU4T6RHT+yq/8yrDNicUb3ehGq5NOOmn1zd/8zas73OEOQ6dxsWPuiw7lyuhnb+yHkXzStI28tsEy7ZSRg6U0p0mVR5d+1AnycyCvLrZqE3vIqYv9czvE5L/8y7+MIrZk7tOPspzATP/zXMDQqVJy5pcd73//+1eXXXbZ6lWvetXqNa95zTgJqp5tftkYtl/3dV83ZJXRAQ8yGauyYLscqzp25xSntvQ4mYyouPzyy4d+WJrPa1/72quv/uqvHmPL2IOPa2N13VAEriwCn/rUp1bPf/7zVy95yUvGmsratWatw/ve974jph9rdw7Zo+9973tXD33oQ8feiY7IWavW/jOf+czVda5znRSPPeSCjqc97WmrP/qjPxp97heYMtkzd7/73Vf3uMc9xn6ZqlcPechDxmdCHq9OnS/FvuM7vmP1Qz/0Q+PzgS1L+yK7LnWvefCDHzy+DLFn3TsQjE984hNXL3/5ywd2H//4x8e9Ie1hd7e73W31fd/3fePU5RIz/Yv2/wMe8IAx/uAYHUk9mv7whz98da973WsUzbq08evoj3nMY8a9jMAnP/nJ1Q//8A+vzjrrrP3z+VM/9VOr97znPVc44Z4+lqnPy1/6pV9aeRxeMOYf+ZEfGV/MGKt1keAzyK/Buw/Dat++faunP/3po+/eo4JS0yKwOQiU7NycuaglRaAIFIEiUASKQBE4AAEOFAeW03XJJZcMksqPJYgcd0QQcmt2HjmWuQ6JFodzVp4yspHnXIqILUF55HLNpjjR6oSURZd+1dGlbtaTvpSnLdnoHIVbf+jgeF500UXD4USOicbu3WmzXdrElrRPfWyZbSDjmn2R07/rBO1CaqZcWfRETjvkBj2RVxd9Um0S1ZFN/YxR6qSCNkiHBNfLkPYZx1yvLG1ie66tKyctpQgLpKl5z1hjX3RIBe2jK32STf0sHx3W6j/8wz8MEuKd73znIGLMI1JVQB7MITq0Z1uu08cs23wROBQC73rXu8aXRW984xtXl1566erd7373Afcba959FPHlS6UzzjhjfJly3HHH7d8P1v373ve+1ete97rVX/zFX6ze/va3H7A3Y0PW/OMe97hx37rVrW41fi3clw3qBIT/m9/85nEvS7s5ZY9970sAJJx9Yn/6NXD2/fVf//X++//czv5FGL7tbW9bfe/3fu/qB3/wB+fqQ+btNb927r7gXua+Zt+yx3344osvHvfk3EMoVEeG7H3uc5/V8ccffwBm7i/nnXfeIH/ptoe328fGiAiGz7d927etYJc+pMZGV+4XCNQ73/nOQyY62XjBBRfsJ0RH5UH+sO9Xf/VXx9jOPPPMlTm/8MILx2cuohMOmTfjtnbY6XUqp59++kE0t6oIFIG9RuBz/z3ttSXtvwgUgSJQBIpAESgCReAABDifHE8nOjlZol+gFTl+HGLEk5QjxuHjVHNA5ZWpjyMY5a6VO6kSRy4yHGaPOTs1JMaxJaeNMLdJuzlFHIQ4m9vFxtmO5JcpWTribMcuqWDM+ky/y/au6Yj9qYdN7JfGJvlcKzPWjFcf6tb1p5zDrI5NczB/+oPz0s7o0l5I33N7+nKySL3r2EQuNqqjz/Xcj+vMcdqFMPYaBI69sbIfgZzTn3SzG4FhLpfjSn/kliE2ZHzmyyko69Vj85dtnSpV51Sxtc2ezGl0ZU70zzb9L0+xRbZpETgUAshJJ/CckEeUWee+SLHGBevLOkeUISGdQCZnfwjW6wc/+MHVH//xH4/odDQi0j5wr8z6tfatZ+UvfelLByF5s5vdbPTjV7wT9EWOHQcLb3rTm0Y18u85z3nO6g1veMMg+0LC5YsA/Qls9o5j5O4HPvCBYeNd73rXUbeTP8bJJvpg4hoB7JRq9qQyuBmrJwYEJ/Bf8IIXDFLWScs5+AXzpzzlKYOk9bmlPcxm29MvTJCqbHd6VvlNbnKTMTd06pN9wc29ARk5B/c7emJb6pbzlHqycEaCI08f8YhHjPHDILhGB3uU0XXKKaeME6Dr5CLftAgUgb1F4MD/yPbWlvZeBIpAESgCRaAIFIEisECAY8kxd7qTs87B41xzuOSXDl8cNE4g59B1nHqqOWxJ5emKA6cfp1Y4ffkxoJBMnN3ZsYyTpz2HmC4OskjONT0IK04455IO9bFHX+x3TU4dGWSA9gixjJFzrE/1xiVN0F49WyKnncCW6KWTbu0T6BScPtSfushIlcNFMAa6pHQJ+tbvbI9ydhg/OxCJwUQ7fUo9hmnc+lSvP866vLJE+gTt9CUGN+sgYyAfgpqdrqX6YqeIKEDUeMT2+te//tBr3HmUPPOtjH3Gyi56RH3FDvrStz60jc1SZYK16weRkJ1SOtn/93//90N3TnjSpU2ia/gIwW+J86jsnyKwBgHrB7mO7EQCItusWWvq1re+9f4vIaxDJ47tPdGXSq985StXt7nNbca7kan+wz/8w/HoufVrr9BjDd/ylrcc5Jo1i9B/xzveMfaBex5Ski5E4Ex2rjF1FGVvu6DvBje4wTjl+Od//uer3/md31l9/dd//bgvsx8JyA5tyBqrk5MCOeP+uZ/7uWH/zW9+87F3R+Vh/KHTfnMK20lGX5DY4/rzBYbTre4NCEOnXmF2pzvdaf8j9LpyEtUrM/ywEH3uV7PtZJQ7jemeCTP3HqdYkc0w0MduA93m6Ra3uMX4HGL7PE/qfdb5Ug2Z7B7n0X1fxPi89UWje5kAa1jCxIlbr1SxDhqKQBHYTARKdm7mvNSqIlAEikARKAJFoAgMx4uDjgzibIp5jJtTzuniPHISQy4h2Dhw5DihHDTXglQbkZOmDlGJdEREicg9qXeCIsP0ycHVn7IEfXIiEYEe+6OLo8hZ5RQj1TxOSb92nF117OLMCk7wcCb1H2INqWW8yAJOqbac0ehV53oObEBYGDunlW3acmy1QzbSByNjkhfgYQywQA6wRWBDCEHlThkp845J48qJSLL6oBem8nSKnGUnxYxfm2AoDYGHgAmRmnHDG1ZspnMO5jokpDkK4SLV52xLdMDb3LFHv2zRh3dzGo8A/+td73oDd0QkObZ5dYI5ZRt7tFMHM/qslYxFHze84Q0H3sGXrSIiyek09sNKCpeMwRr3S/Dsh4+xCMaVqB+2kBEbisChELB27ne/+4197Z7hWrDenFa0NwSPt4eMtPbUP/e5zx3tnve85w0Z76y0Xt1Ts9fo/O3f/u39J0DtF+/9tFatUXKIOtE+kG63dtmW+4T29uHLXvay8Q5Nfduv2RfSJzzhCYOMHcZ99s8973nPcTKSLnba18o8eu/x8t0Euuzt+9///quzzjpr2EgPcpNu9wL2uDcgKJHBZ5999v5xam8ssd0Yn/zkJw+SeLbHY/fwI+8ekftA2s2yh5OHt3vXU5/61P0YuB95x6jPCUEfuYdLn/GMZ4zyJz3pSeNUataJOVSG4BbY2lAEisDmInDgf1Cba2ctKwJFoAgUgSJQBIrAMYcARw3hhWwSOWIIH2mcaY4xp5bTKY9IEuU5cRwyRKQor2wu58CRRw5+4hOfGBHRhTxUhtASyc2BDjr1Sw7RKCKx6FPumh5lSL04xtpxNOlFciIonf7TP3llIec4yhxfMTjAYA500e+0UfqkT6SbPnV0xsFN+2CjTlvyUvLGzHZ2KdcHrI19DjOBEXzhr+2sE070Kp/r0mfwztzNfcizVR076DUubRLnvmDLVm0yV9paT0gXuCJEROQkQkO5QF5beqMzttHL9sxb5swYMu9ZZ7HXmMVgr9xaIJ82sXMYsPhDX3QuqnpZBA6KgHXtfpk1jTT8q7/6q/1Ep8a3ve1tx2Pn1ph1KOTeOy62/tCRLx+sXQTYq1/96kF0Zs/f+MY3HqdIyZIRkHtOQH7nd37nuP+MwjV/7J+f/MmfHMQrchJxyAY2ud/pQ16ZH/rJjx8pT3jxi1+8+o6tHyhyLxPIGr90twEe7gvITmNJcOLS+N07cr9ip/t0wo9s/dDP7/3e7w2y0d53/37FK14xyMJgltTpVe/pdH+hx/3iWc961v6xROfhpPM8IXvTly954OseyPaE4BRMjT1lkcm8mouGIlAENhuBA/9T3Gxba10RKAJFoAgUgSJQBI4JBBBNCC1Os1MpCRwtpBNnzCN3Uu+PcyKRk4g4cuJG8Ljdqaeeutq3b9/qxBNPHCckEVt0ciSdbvGIoUcf6UBecUg5x05Pnn/++YPsc+LOaUjOtV8HzglLhJf3nDmxx6HVP3JQPUfYSR+/nsvxZod3nNHB6dQXZ9EPbegfoeYXdDnOnGUyTiYiADij8GC3dsbKSUVkKld22dbpS+N2UpRNcEDCwVA/nGxEhPE7jeQ9enD1uKd38ZH1C81OohqDPp10dFKRbljBQTAGEQEAf445vQIyBA7myOOrHt90Gox+TrPTojlh5pq9cKTHuM2VU6O3v/3tBwZOyLLDvBiHRz09JivCNkS4Oo45POANKz/uYd6lHuHUr3lFZBszwsd7BWGprTnKaVAYwNOvtXv/nzE4YUuG/sxD5oDtyB/vBzzhhBMG1taR8cHiT/7kT8Ycw9Ua9niooF/tciqXfcgoNsHVvMkLIR2SjsL+KQKHgYB9Zs9kTblOmT3tB3a8lzO/tv6Lv/iL+7XbU2QT6Mm9OeXWpv2KdHzYwx42TnZnf2Wfp/2c2rdOiLo3CTkZHZnlmnePtZ+FZZ3+3A+u6mA/LwMb9J/xL+vdK4xtJkCXmKUNPfZ7dEm1zXXkDjeld9mnsth+uPoqXwSKwJGDQMnOI2euamkRKAJFoAgc5Qjkn3r/iM8h5Sk7WP2yLm2aHnkIcFjNp/lHCoXQQhYh8RCU8sgo5JUyJB9yLu04mdqH2OMkIzqRUBx6j1kjzvJjEBxATrz2nHOPJCIc5aVIM6QfIpNN+lOH8KSXc+v0D7vI6IddCDykF0dcynZt9att9NOpPUIT4UaGLekLWYZ0EPWhTyRpfpADKYc4I6etvpGPyEJtEJTeF4dMQEoYb3AzPv1mHMrpQVSqg2UIZfbAVWQfzBLMk8hRRwaySRSMHeHJqUfmuYaZsdIpaIfwQy7ACwlDhl1wQ6IiX43beDxyGyKGXPqCIzuk+pTq05iMjW30wULfxpZxaQc/WJof88hGxKSUjeaMDOKTvpDcWW/sIgf7YKp/wdyFwM21/tmibiZH6BOCNbwbisDBEMhasS/szVxb19bvMqi3Jx/ykIeMLxrsS6c9rWHr/Nd+7dfGvdB+S9DGXsqaVk6//rzL0RcgrgVrlv7t1q595wsYe14+cvN9JXr0+9rXvnbsc3uOfOr0cTi/RD4aTn/o3i6kn7ne+LWJvXOdPGyWY9BmuxC8Ur9sm/KkdLmPHCywjwxshIzR/XA7uw+mr3VFoAgcOQiU7Dxy5qqWFoEiUASKwFGMgH/A84++f/DzT7jypZMxO1dpp+1cfhRDdUwMzVxyls0vQomDzmGLY6cc2YVMcgIPIWfdKNfO+tEG8YXQQ3Y5cafce9GcqHTCD5mJXNKf05Qe7wspSB8SC4GGlOT0I0bppYtjzmHUH0dSO/qtV+3oDNmlHnEXEovNSFkkmrXLab/pTW86yAWn+5BjCEbtEQxkEBD0O32IDFSuH7+k652hSDfy6vQnGhs9To4i06RkBeNwstM4kcHIWTjBkCxdyD7182lOetljnGTFkI3K2Ii0gzs5NmijPNfqjJmc+TUPTjvCOj+KwRY2pd68wR9Bab45+vA3F/TA2/iUsx025p/9sIIb8kaI/dYT+3KPCTmUVFt9sMUY2GfekdeCeidpzz333NGvedUXXLWTmk/EsnL9wFafgtO25ku9PjIOfZEnR14/8LN+lMs3FIHtELA+3EP8qJA1a29Y69bi6aeffoVm9rA1d/LJJ484C1h/v/VbvzXuEe5hZA8W1GevH0xuriNvnwsHW9upQ2j6lXNjSpm2+nY/zt6xz1M+Mof4c7CxpS6pfpM/hNqrrNq9J8HYbrD1BIF7x+EE9zb3yT/90z8d9yz3loYiUASOTgRKdh6d89pRFYEiUASKwBGIgH/eZ8clQ+BQxGmJgzHLqUMi+Cd+Lk/7pkceAplL84pkRF7FsVSG0HIyT8pJ5rAhzzjsOR2kHJkYgui0004b68T74zy+LCDzrB8OMrLxjne843CgtVWGJHD6EzGJNPToNAfbo9FO+bFTnyGjktIpegxbCJlFH9IScUeXMSH+kBCIVuQYWaTeRRddNNrqw/jhYOz6RYwhK9nvcX7OPzmk5bd8y7cMnU6gstVpTTicd955gyQkSx9bnMAiAyNRmT0EV+XINo9v65M+durDONmSOXEtr50AO8Sd9sgWWMCJfuUIPvqUGQc8jAWxYl6RhubROOlEWiIUYSIPC/NNhx/LQGIiYhDY+lOPEHXiVxnb/LK0scRmadaSPlzn/uGa7WwzNsQlfOSN31phm379uAtMySJiySGHzSNSVFuvA4CJsVlb5kp/TgrnFBw5UR/qYUUWJvKJs50D7P4pAmsQcJ/5gz/4g0H6W0/WtH3sdRrLYN3bC0gwa9T9wV6xv6znu9zlLmPv2RPW505C9hJZazZ7bCdtDyVjX9l7bKN7DsYquuewlx3krmxIP0nptSelKbuyfRwMW/OZ+7x+jO27v/u7V9/6rd962N36guaRj3zkmF9YNRSBInB0IlCy8+ic146qCBSBIlAEjkAE/NPNcRDnoJwTsM6hUDbHuV3zRy4CHGNEDwdcNP8cVmSQ9YAIu/Wtbz1So1SH7CLnkW6Ooced8/gwwgtZ6fSjPAIQ6aad93HSd7vb3W4QYtYTos+pO/Le2+jHHBAATiByspFa7EOskdU351qKUHBKFKGHWEDKIQnpRdR5BJt9xsUGhIJHyzmuZJFonHmnrJxefeELXzj6oN9pRSQeHFw7BcnpRcDpA8HmvZJsQKKyzYlGJySNGT72F7tFdhiHk1DwgQ3MOPHsR8bBAQlLhzJYsZsuY2BHgrJcG6+8yEZjowvpiOBDCCII2WA8UjayA07mBo5IQuNQlkfGjdVjtuw688wzx3gzBroQp37wA+lpfBmb+WMzWZiZS2Nlh2DdGT/CJ+uFvDUHW+8SNT8wTntzYv7gqS/4aCMaA6yQ4whcdhmnMnJOpcKCHOyMM5ixRxlCWL21FXJFXUMROBgC9qp717d/+7ePLzusNyTXc57znNWP/uiPHtDUPcHa9e7hZz/72WOt/vzP//zqsY997Nj3L3jBC8b9yRdF9lfC8rM65faR9Z96+8d+yXXkDje1N+j6nu/5ntWP/diPjXvnOh32kb1yVYbZ9uTdX9zncr3sT90yrJNNGdySX7Z77nOfu3riE5847qPqyPpBI1+kwMW9YqcBhj4fGopAETi6Ebhq74JHN1YdXREoAkWgCBSBqw0B/+Cv+yc/5SFOrjYDqnijEOAoI6A4cYJ1wEFDUkkRP8gnpF6IPc48h09ECCLukGP0cEqdkOPQI5ucYKKH454TeognMQ4qMg7B6XSg03t0iUgw+vWnno3IKDazC4GGwETUOSmKkOOYIuuQeexiCwKQQ44ENBaEGD2uczKSTo67VD/aINWMR9/skcLFOOgxBnnkgrbyxoog1A4ecEhKJ3yRdiHsXLMD6YqgdMqLPg6yOv0t96TyzJVUfSL72RBiF5FLp7lAALILTsbDHvMDAzYh+4xdGfuMV513/MGafeyCJRnjQla+8pWvHNewR2AmwpgtUqSjkHXGTu3J6htOxmBN6cOcSuEi1f+HPvShQdyyXb900yfCyZpAPNFLD53WrL7zA0zKzZXxiYJ+BXV00hWMR0X/FIFDIGANWkdZN9LtSEDr7/d///fH+vQFye/+7u+Oe5YfDhJmPcm7B87BWrU//fK6e521bx/5Yur5z3/+2Muz/G7zxsFeIbZE16Me9agVYvD7v//7x7tGU35lU3swQf9O3+vD/cU9al1wL2Nn8CfjvjMHmAkIXF+EubclaGt8gl+qd/r/QQ960H6Z3Lci37QIFIEiMCNQsnNGo/kiUASKQBEoAhuKAGeBU7B0bFLO7Nmh2NBh1KwdImCuOZAhnziNSCLOHwcbSek0XU4cIuK0Ie9RZ+SZ9cDxRqhZNwhKRCVCLKfrEFZOdnIivf+Mc56AFOCYcvyVhwBji77Ui/qhm1PPNsQWwtFj84hGOhBV6hBeyE6Oc+rYps5Ysr4RrcaEQFOmvZOVIpvJq4MJ4lT/bDJev/ytT2N1Lc9mj+Mj40LwwVJ5xsM2Ee6ISOTr3e52t0HsKTNWdmef0R1ijl2ZMzJkZ3IOfgg+2DiJJE+GXnUwNp8wdvospCWC2PiN05zOhCWyEzEg0iXAzGlaYzfu4CllL6xil7Vi7OxVD1PYsEk/rskgFGDFZidd6WUvPQL7jR8u1pUAR+sBEUK3eu31pYw+kQybrGdjoIsMG+iDqWtpcB8d9E8R2AEC1t4crF17CkmH2MxecBr+p3/6p8c+y5pzn0LkJ9g/9oN1qJ21fq973Wv1zGc+c9zLyDlp7sSlPugRrXftsh+jb6epe4z95MsX+ozJL8b75XZf7sz74md/9mfHlxzKzj777DGmpzzlKQfI7LTfyGUML3rRiwZurgV71X3GPUN/IozcOxL0/eQnP3nck92n7Pn73e9+q6c97Wmrffv2DTHjO+uss8aTCNEDL3oRoLlfv+QlL1n9+q//+rgvRf9epLEHDlkPe2FH+ywCReDQCJTsPDRGlSgCRaAIFIEicI0hEOfMP/1zUJ66uVyerH+8l22Wcr0+chAwl0gewbxzquI0m2tkEPIIYSjNo5WcSW2zXqTacUKlYogmOgVtndDjjM5rKASavuLg5qRUCCl18sg4MesQ6eYkJX2zQygfgg2Zpi0b029SfXPu2aZP5fpCMkjVK6fPeELkOSXpx5TodSJVOXKUPFKNvPaIB2XBCQ70iephgaBDTrIjgXxCxhKblWf88mwQtJFnO4IghJ46bdUpM5f6ZZt5YksIQ9dwy9zph13a0REMlXPGydMbe6XKopduulwLxqItTJb4kA1ubKTX3GXcUu3EjF9/idpro26uV25+EDmwISPKk0tIP/Qln7qmReBgCFgzviSwzq1Z68qa8+M+j3nMY8a9QZkvGLwP0r1UcK+4xz3usXroQx+6X/2ZZ545yt1jrHU6/Tja4x//+HFi29p0z/EuYvc/12T2bZF6u3mvZDp2UpONr936BfZ8IeTLnd/8zd8cuvNljbEiOI3PvcG4vaf4yu4be1IfyOHzzz9/3F/Ygwx2fzZOkU1OsHr8X7C/fSniiyv3MTax5W1ve9vql3/5l4ftZBCm3rtMl74EcvLGmzJzBFsEr/q9CO5NT33qU8dng3cl3/e+9x3j3Atb2mcRKAKHRqBk56ExqkQRKAJFoAgUgasdAf/0IxSEOA/rOlU3h8gmneuaP3IR4ExyrBBSgrXBieV0mmuEFOcwhCEZsogjpCPn0jVZziJ5smlDt0A+6y5rUBv9p2+69M1xD6FFV064qBe0JyNNPdJAPZ1O8KhD0LGHXaK+OK/q4uRKjVW/xiMocx1bYqexRF9wU8bJ1gaB6BoBoS2nmxPtEeoQj+pF42MHW/UvL8Q2WAVTug8VyMORfdrpn274CJkbfSM52cNeOAYXJ8gyn/qkR2ruIhM79AfzYK2c7WyAo3L6taWTrDGzK/NNt/6DvzRY6Dv9SwV19NIlGKt1JtJNzklVJ75cmwfjNGZt2UXW+I2HvDSB/cZFVvvIpL5pEdgOAWvlAQ94wOp5z3veeN+wtW8NSb27M/vbmkXk2wPKrFfvpT3jjDPGNT1OTL92i3D0vmL3EHtX6pSl9SnQjTC1h+iyx3xp4tS2kP07Lnbwh14/uPbwhz989PHmN7957Bv75eUvf/nYp9mP1Nlb9pX9q//s0R10ta0IHey48MIL9/+oHGFjDYFp73sX8cMe9rDVne50p/24kvPqDk8POIkPM18+xXb1wVGezbm3+XzxQ2jGI+jPPKm/soEOGLnnHCy455jDrBv9v/jFLx7E7oMf/OBBdh6sfeuKQBHYWwRKdu4t/u29CBSBIlAEisBAwD/f+Uc/zrxUUBcCQD7Xo3LrT+Ry3fTIR4ADKHK2zC8HfEnyIcw4gqkPcYRUQj5x5uggw1njmHKGRdfWlNM/nDmEEwJM1IZueTqRbcnHLvX0cUC1jVMdp58zzqn1gzjsEPSjPVLB4+SRpUOe3WxFhOnPtague4M96kR9aqsv49GW80q/sn1bJ6pcK+ek0hNyQx8eVddOHTllUn3ARR+Rt+e0N5Z5v8nP1/PK05a8yB7XsPQuP/3CR9/so0MfrtXJx7lnC4xhIJChywkztrIrQV9OXKlTDqPYYf2I2iRvjPqRRo80cmT1Sweb5uCafrLIIXaSY5+1IWZs7EF26Mu4ERnwpn8e2xJLfYj0ktXfUma2qfkiMCNgrTgZaV/4wS5rzR5Ubk8mWGPWuTL3NicSnUwXrDn11jPSUt5at57VWcdz0BcZJKe1juzTdg7Zk7mvpc0sI0+//ehkqHvnj//4j4+9Yz/lfje3Ict++8uXOeyl48oGOtxX4aeP6Izd+kR0eu3HXK9ftn/gAx9Y/dmf/dm4v66zPfcYfRiX4OTkXe5yl5H3B4bq3QfMn77huAz6V+c+JA3Gs5w+zIvPF3NlPOTEOSBpb37zm4/7o3scuXz2+axoKAJFYLMRKNm52fNT64pAESgCReAYQcA/0ZyZZVDuH3tpw7GHgHnnVHGwONXWCGcPcchpV4dAEtVx8AQOnBCnntONRIsjzBlWx9nLu+mcdowMOf3oQ1/RpY2gDsnFsdRXHG92sIkdIbY4pCI5zqrICfX4IpuNkS7X7DROZK3330k9Sq5fjjbd2QsZL4KC3VJE7r4tkpMeP6KjPMSC9+gZC5JCmTEIbIcH2RAX6YOc4Fp/ybPH+Miri7x6bcjGgXdtfE4/cfSRncgU5drBBc5OjKknZy6QJRxyfZgPOtkqhbv3CSJkZgcdaXn55ZcPMlk5/ekHNl5X4OSZ9vJ51QBs6RaydowPpsoTtctYk2pjPo1RlIePNcBWMeuBTeqF1JONrvRNTj5YsiXyo3H/FIHDQOAXfuEXxjsun/70p69e8YpX7F/rUWGd2WMINgShd3q67yhP+K7v+q6V6P2ez3jGM1beIWlNrgv2ifd52sPeretXw2dd9lPuOdpnn6zTlb3hXuCxerJ+MR7hKj8H/Z500knjFKoTlne+853n6l3l2c1eJze991i/9myCvXrve997vItYWeyV19b7oB/4wAeOe5l2bPe5s7TdfSHvSL7B1vujYR3MtPOIvPeUvuxlLxu4uz+4LyyDexZs3TfNj/v6bBN5RDCbnO51z8o9SNsEfSOX73rXu44fq3rhC1+4f9xw9lnUUASKwGYjcMU7xGbbW+uKQBEoAkWgCByVCPhn3D/ucfANUpmYf8QzcDLiHJb/zM91zR+5CJh7TpUYwgtJh9RC3EkRe+afQ8pBy3qxRpRrh+jiyHEA42TnlJN3rSECnWLx6Lf2Al2IN30IWWMcPTZwTvXBaWUfp5dzKS+lR79k6NIO0cle7fUrr722HGCOqcA2pKAxIi31haQ0xujTzp7JmKSIPM4+stAPJNFPBzLRY5h0cNY5uOwxJvYGExgpF/QjCsFk6aAHkyE0/TFeNktF/SFuEbpOtRo/nSKs2Ii8dHpInj05XWb+yOhL//LsMmfK6Igd+qIHdhkfO+RhG/zhjYhBdtLFtvSRcesLHnSSZ4d8MMlwXRufaFxkzAtc6Uhkozq2pJ6MOSUjRCY2k097chln+m5aBHaKwI1vfOPVE5/4xNXjHve4A5pkvVtb1qX1Zl2uW+dk/PjaYx/72NWjH/3oA/QsL+iwN+mbdck/4hGPGL8uPq9ne36Wm/UpP/7441cPechDRjEyNrJ0zHrm/TLr2G3efrX3n/SkJ417iD2+DMa6DjNysd1j3+z8gR/4gf22r9OT++JcR4f5e/zjH79CXCe4pwUH9wrhWc961v57uGv62JZ6qXvfT/zET6zOOuus/e3Jmn/6olPqCQBz7cefEpRvN97INC0CRWDvESjZufdzUAuKQBEoAkWgCAwngCPgn+jZcZGfr0GVf9rzD/lMdhTKowMBDiXCz9wi8XIqj9OJsEOIvfKVrxwnVJCUSCxOKWLyda973Xh8HFGpHIHJQUf8IYz8Gvjtbne7QYohAZ0ERDQiyN7ylrcMGaSha4+hX3bZZYPs4iB6jx0ykQPIqUbcIdfI6Y+tyMQ4xFm/xsGZR1yqe+Mb3zj61ebd7373ID7podeJKjb5oSH2Oe1ozZMNUcbJ9UMV8DAe5Bii8D3vec/KCRx9vfOd7xy4wYsO/dCH1HNKCnkAE5iFXHW6Uh9OPepzuffm1aVev8JMwmqvD2XsMHchO9mnP0SlsSIREY0XXXTR+JEO/dFrTv3yuRNOCEe2nnnmmeP0J3lYeCyUnU7A6oej7pTuueeeO3S6PyBM6UIUwAlm2psjZLM5Zqs5YaPxwJTNdOqbfnqlbM99Z8ZCmbEgcyNrbdBnTNahx1D1Yez6s1Ze/epXjzXBvhNPPHGMQbm1FXJT+97jZrSb3w0C1lS+TDlUe+t5uc5TRo+9cTjBnk6ghx1LW6I/cnOqTr/2uGCPXFNB3/age6V7w3ZhO/tju3uJsFPbl5gZu3vVMsxy6ti5DEsZ9xP2xKZZfpZlO9l186XNLDvraL4IFIHNQKBk52bMQ60oAkWgCBSBIjAQ4FSIBwv+ARfyj7Z/xhuOLgQQZgg4zh2SyCkSDheHF9EpIvMQeQglJ/TSBqGGcOKQI8OkiEqOqvbyCDDEE710IAERnggt6wnRhCCkBzEVO5BvSDoOJTmkm/Yim9jCbsTXMtCJRE1749GvPvSF7ER0qkeeIjzpMy6Bvda8ftltbGwzHteIOAQeIs+1trBThnhDZOrPGGChXspueoyBHfSzM47uchy5Vp9xzntS3h7mnLODc68vfbADZjC6bItEliIf5f3aMFKQTfBFUhsb3KTIQHroQOy+/e1v30+khiBENiJOyXkcN++527f1aD8dSMzMFZzoMQ9wNRZYGz99bDcG+MBNO2NQvwzGTIexWEf00p+5QyrQpw/lZOm+5JJLhrx685lxsEm9vg51P1za0usisFMErNvs3auzzVK39X+44WC27uT/hsPtbymfe91Vbfuyn+2uDzb+uc1O7NupLnoPR3a2o/kiUAT2HoGSnXs/B7WgCBSBIlAEisB+BPyjjiDwD3YcGATV7PDnn+/ISBuOPgRmogfxgwRDAiGwrBHEkoAwU05eOXLKenF60SlMJJmTnWSUIxO9/wzBhNxDkCGgOLNILaQiYgt5qA/vN0OWOSV4q1vdajwijgwkhwRlG3IOKUenqJ/YaE2HvDIGpJtf2VWPsEXe6QvByQZ90o2wE13rg3zWvH7ZQN4YI8OGnDK94IILBnmGoBMFhBuyExGIWGUXYg5mdLGbbqQbPEOwpk69aE8al3IhdqVOGZvpSiRDpxTBGwIxhCci0slLJKeTnHmHqjbIbKdq9Yu0ZS9Smw1SMkLsNAf07NuaN+N1ShSRSi6kLh0CnWw1B9aBa7gbS9YMOfgbi3K4wJI+c6qvkJnshh85Y2Wja2vE2oO7oA/rj5w1gCSl3xyygW51gr7NITvFlI/K/ikCRaAIFIEiUASKwAKBkp0LQHpZBIpAESgCRWAvEEAIcOgRAJx6ec4+px9xwcEXQh5IOfx1+vditq7+Ps17yCQElvl2jfSyHlwjhZB8yC7kE7IMWSQlh9C8/e1vP4jOk08+eRBX1plHyZFqTnciTp0QdIoS6Wbd0eXXcxFU+vD4s1/UJe9HL/SB4EISpi9kGrKMPP3q6UNisR9hipzUVnrHO95x/BjIq171qtX5558/SC9jQcB5zJn99OQUZAgw5BvdbKMHJre97W0HkYfU86j6a1/72kGcXbZ1WtL+IIdgRdbaU37hF3GIDEbA6Y+tsIjtxupELHvYJWibPWl+YBlSMPsx+5S8PHk2sN+1PtiOcETu5eQsItIPmXic21z5BWD25nFZtorwdgKSLu3ZhjCGPRvUI3/148dW/DiIdUAvewUEo7mjA0kJH3lzr1wwZ2y2Tpy4NY95FJ0cXPRnLcJQX+xB0iojG9v1yy7j8SMn2tGnL3XGIFp3sJoJVraQd09ExKqDfe97kGkoAlc9AvZkIu1z/qrvrRqLQBEoAlcfAiU7rz5sq7kIFIEiUASKwI4RQC4gXJAWCBQOBqceCSEV4uBz/sUQKSnfcWcV3HgEzK25N8+IJUSQNYFYcjIOaei0JoKJDCIICYYMQpQhnJB/yCpkljVkjdGBxEJYId2QevLIKetIn056IsEQZggrJ0NFhCEdWX9SMkisM844Y7+NdLIlxCv9SEl9W9vWOMKSXYg5YzVGfehf0N5YkVw5/UePseUxeHJsNg5EoLxxGyt9sFFmDOxEuOkLISfPJmPQxrhOP/30Uc5u5CzbyNCnnUifVFBuHCmTCnTKG6s9zRb6zQ1szJs6AdEKD1iYV1jCniy8xDnAx1jMrf6RwXCDk361gw+76IGh8cCOLjLKjYFNcDZ+1/u2ToGyA57sg4ETuHQiYBGVsNTO+DJe8mw3Drr1Tc5Y5OmGI1vYTTei05pVTgYZqz/tBHYGR9fB2vjTr/KGIlAErloE7LFEmu1D1w1FoAgUgSMNgd65jrQZq71FoAgUgSJwVCLAoUDOIC+QAa6RAIiKmXDh6KsT5ZEADUcfApxLc4tA8iMy1gZCC5nkx4UQj04hOnXnceiQU0i/+9///uNkpPZiHFc6kKYIpRCdyFCElpOGyChkFyLKuxTpQpyRz7rTHnHGLmsToYXo2rdFlLGPLfr0KLN164SmgPBSzwYkl3p69a/Mekai0Ysc1DcZ7ZB0+iXHbnYibAV9wCRkJx3GAg/9aKuNvYS0g4W8lG4B0UvGrwQrY38IQnqU6Sfyo9HWHzIh5+Y6fdJhLGxBHmuPYHUK9Z73vOe4Zs8HP/jBMV6ko3EI2mrjtKPxzMG8w8ppW2PO+sg9A3GJNDRffuCJjXTTSRc5xKXo1K+5pI/NwcW1uXIq1PzCWnv2IlrVuU9pK7DJuIQQyvLahXyGkzx9+oULHcHbOmGnvtlOt6hf0TjMmTqxoQhcFQhYS9Zcw2cQcJ9yH3S/te8E+9Detf8aikARKAJHEgK9ax1Js1Vbi0ARKAJFYGMRQCIgDDgEcRIYq0zkVC3LkQ/IIY/xIjc8OozgiEOPgJFHCCAJEBTIJw6JfhAA6huOTgTMrTlG7pl760B0Oo7zqVzkrCOPkEUIKWtFvRDySB75pH2cVnllaaeN68jlNKS2CWyyntkVEooeJKly/esTcSaoSyCfNR3nmf0p086eQKbRozwBWSYGE2nINn2I9LOdbWxBYtKZvbJuv8RWddm7dAvsEOhOWfaya1EbNmffzjbTzSYydCFxnfR0r4AXfJ30VAcP+zoh88cuxAMb5OGSfuVF7WCR/pQJSE8hNrJdCFb0rQvktKEHnvIi+dhhnMr0SQYxza55Ll0bvyAVlZG3PuAgzO3kUxb5XKduCPTPWgTMh5gAs8PBbdl+qSt6pUvdZO2F6EhbctlD85zSkTW5Tp+ydSF6U3e440s7aXQtdaQ8ssvrlEuXOKQubZIqz3jnMuXwSYgt2+mN3JymzaxX/nB00GdfPuhBDxp2zjrZZ99G59x380WgCBSBTUWgZOemzkztKgJFoAgUgSMKAU5enHcOXQLnRh1nYS7nSChz+uycc84ZP6riV5Rdh2BANmjvRNspp5wy5BE4s2OUfpoenQhYMwhB5JdTkAJyyxpANiEArQlkl2vl6menN8hYVyGsUibNesu6osdJO30vndsQZCmPQ0yP9sgudfNaVycoU8+hTn3s/YzEZ2whE1tSTqe+pSEMQnaSYYfy7Cvt5z6Uz7ZGrzLjJUt3yBq6XKfddm2jJ6cUMzfaivSyRb19jJT2WL55Q3bCAv7L8SrTpzE6vZm5oz9zkL7p0Fdsdh9yHdKTXIhbeTrJ6jP9zuOTVx786IKL8tiqT9ci/NJX9Okn9clLBeXGQVfC3C4yc/vINT04AvM6IDnP48Fbfo74o2OOabecj6yP1GedWFvZR+q0s2bJLztZ9OYAAEAASURBVNtkzc7zT367oA9Bqu1S33btUr7UvbzeTm7GI/nIsmE7PbGXrYK9l/apU24PRQcsklc3513vJMy4Hk57Y8kJ8530U5kiUASKwCYjULJzk2enthWBIlAEisARgwAHZXZYQihwaNTNzpxBeVTY48keNfWjKk5vIXk4hXF24iApQ5Z4tJjjctppp43HRQMOcoNziTw4XOcvOppuJgLm2/yLOe03W6oc8bSTsFyDabNcn66RUevCdjriUB9q/S3rt9O37Jv+9BGyYNk2MnM5WXtRFCITXWTlpWTls+/IR5f9pTyPd86Y238ISWOjQ5Bqi9REVtOLEHSPCOFBTpslJsrJaU+WfmlOjyqfI1lBn2L0x8aUsyFjJS+/XaBffcZk7MqE6Elb17EhZQdLo/dQMgerb91n5huWc8jczOXmbo7WgxBifm4vP7c9WJ5OushkbSSd17R619KQoNqmXBvR9aFCZKTa2HdOTCdkbFnz61J9C7PtsXtpU2yTGoM0MnTIi+tC6mJT5Gab0i56Xadd0shI03bGUZn95/NfG9fpa24rnzmTj4y+tQkuc906G9Q3FIEiUASOBARKdh4Js1Qbi0ARKAJFYOMRWJJDnLAQmEjMZXjf+963+pu/+ZvxzsVPfOIT4/H0O9zhDvvfiaet9zFyNpAkiI4LL7xw5fSndyRybjwKy1FxYszjsd6dlxNXy/56XQSOFgTigFv724WQAohCe8N+CqFg78gjL+RDYqR+qdepSO1Fe80e005AOtjr+kmfyhEH9HqvJjJGW3knZrVXZxwhHzImbeXVi8hs9xb9+uX21ClzX2ArEly54FpcR3goEyI7Ltb8Ub+UWadvTdMWXUMIZK1J5/Vq3qybBOvLGs0alrrWxusrrMXMbeY8aXSsS7Whx7q2RrOnlp+DaUueLfZibGGDzzDt1SdmT6StdDub7AlfFhpz2kkR/iH92SmvPHXpiw3a5j6gH/vJtbHISxGJ8tmPOZWsfb6MYKdrOkT5RHVC5mY5nuX1Z6QP/MvmjMU9RR6WxuRLFZ//QvqfW2e82rBXyJyRpyO6Mga2xv6d2Df313wRKAJFYBMQKNm5CbNQG4pAESgCReCoQiCOxbpBcSo4EE5qepzVY+shT+Kcca7isNDFOeGkCMpzmoWOOKucMHobisDRhEDIidnZzt5IWdKMO/tPKnDa5/0xO/Fx7NfpiD4puRAgiI7sNbqiXxo9UtcIST/a49o7NL1yIKTJrD/52J7r6KPLXhfk2ZD+Ms6kaRsb6VAHS+lcHv1pM6dkl+302bD3CGRuWJJ5lZ/Lcy3N+k3eddaBsu1C9GUdRC59Ro91lLUU2bTVRt7nW8g61z7XfAZqp5xOUblIXprypNom+Pz8+Mc/PnSkXCpqL+RzVRkdqZcKGYOULe4V1rn9bp9JXftcTnn2QcZMjzKRHjqyR6W5/9ChPnLpM5/59Aixkb2CfmZ72ZS+ldM/h7RPmnFHH1l9p3+65FPuOnEUbvMnNqmOPduItrgIFIEicI0jULLzGoe8HRaBIlAEisDRjABngnOVdHYGjJtTx1G59NJLx7s6XZ944omDAEFeeuTVO7O094g7Xd7z50SMMk6SE5+unfZymkP0AyFCHY4BQ/8cJQhY/37EK455SAJpHP446dlr2giu7QfkYmRmWLbbK/bZHPWDTEA2OkGlXdqqYwv52Jg6J7pPOOGEQXgef/zxY18fd9xxKxEBErnYxN6ZDFJOP1ljCNmZdlL9Gm9i7FAX29hFt3sG8igkjDGxfV0gT6fTXtqwCyFj/A17j4C5MSeCuRLNfebKtWANWDfmPESbuqyhOT8aTH9mnfpzinNeZ9aC985G19R0yGUtx9bok7LL59oFF1wwnlpAWjqt6AkGr3jxg33Wq1e9+FyUV2d81iQdgtPSN9j6wTZ9sCPRmre2XcvP5fM1G+mTwo/ejDN1wdSXjMoSyYv5AsN+t0/h7MSqcl92OM3NTvPgs12ZGFn70A8PLkMw1wf7jYesuZQKwUH9HLQxruiIbHRIzUHawYTeOaRuLpvz+g4G8vTR01AEikAR2BQESnZuykzUjiJQBIpAETiiEcg//RwE//DHGeEACBwmDhs5ThHHzePrHAyPpXOQOI4clHe9613DSUFikuewcAw5g3QgQZ2I8RiiU2PaHsoxOaLBrfHHLALWtb0UgkKauFzzrjnd6qW5DpEReWli9OYa0Mmrm4O9aH8qj2NP1jUiI/noQGjc+MY3HkQGsgMBIkaWHDtjq2t9sNeeT3CPoBtBMQeygpQOIbbHllyri930LMemfl3QPmHOp6zp3iBg/sxj5l2aOZWm3DoVM3fWStYNOeVkE9eNJnrtQ31qb33aCz6Hsl59xiEmlUvz+gbXiEJ9kJXql7wvMpTlVRDZX4hUn2v2ir60mde5a8Hnny/6cs0+utnMXvnsVWUZs3KBzpCZdIiu9cmu1MmzLeUZh/bBRd/6ktqzouuQtvJIXKk2kWWLe4UybYxZ6tr/BOQQo2KwiP0Zt3GRSz1b2a4+mBhv+gwO6rURZrlRsIM/7KArduygSUWKQBEoAtcYAiU7rzGo21ERKAJFoAgczQhwGDg+HIY4O5wVjoByp0WcWFGnjHOH8HT6Y9++fcMJ4dggOs8999zhqNzjHvcY5fR8+MMfHo/reUcZGbJ3utOdVte97nX3OytHM74d27GJgP2CCBDi4Ce1j5YhdZxveQ6/vYZwiPzs8MuL6kRtxMjqny4RgYCcQUSEnIgsYkZwnYCwudnNbjZIE3s4Mf1ELra6nskX+Vlf5KXahNggJ8RmqZh7jTp62E1WuevtdEc+epIeTF6bhmsOAXOybj7McdYra8iQNe8IOmvGnhB86WYtqBNDeqnTTp01a38ISLg5+ALOI+RSn2+eNPDUAZJTOWLPZ5yojn57KLbYHyeffPIg8bJW7SPlsc3no37tN089GJ/IPuM0Fn1nnFmr9JFzbQwpJycknbGSF9iX8oPlyZJzTzDmEIxwzheTyozfZz9bnWBVxmYpTESf6+w1Xp/p17ve9cYTG6eccsogdH1ZguzMOGOftvLaCuqDiT7MnXbGD5PgPIS3/mjLDu1E9TsNaUNHQxEoAkVgExEo2bmJs1KbikARKAJF4IhDgIMjcjo4GLPTEOfOaReOR8iVOFLacMikIofPtXf8CRwnzgon0EkW1xwMzoxQZ2PA0D9HIQIc6pAtGV7WO0d/XdBGSJp8nPNlOoQXf8ikn7lK2TLO/cQmZe4BTl+vC/a+kDQ22efGm75dR879hVzKlKefIfTZ67mePbnPsCf3nsjrJ/Upk9IraBOyaL6njcr+2TMEsl5iQNakuc/cpS6peZ7bRU6qXXSQJ2u9Iep8zizzvjxAciI0fa5ZZ+QQf8i2kH90+TzTB/3kpPT5LPN6B59rZKxNa81npDJ5pzYRna7zY0Z0JrBTn9ZmxiHNupUXr86QU6y+VMkJ1RC8M05IRSdhlYlkQ3jCzhzAYJaDFeIX0RuyF/kLG2NMGzK+AM1eVS5Pn/8pBDiYG1FQJ+iDfHBynTDnla3DM+3SpmkRKAJFYFMQKNm5KTNRO4pAESgCReCIRoCDInIaOG7LwGng6HFAOHMcvZy4+OhHPzpOr3B+EJx3v/vdhw55J2IuueSScVLGY+0cPo4UR4fj9P73v384OeoaisDRjgByQ7SfOO3SOORxxOO4J0WWiLNTnnxSuCUfnUmV229IA4SCvBh59iAryNvjyhEJUteCtmlDLiQHOeXKyLt3kEUG0Zs6+t0LyJNxHxG10XYZlNEBo9gWMiSy9LMvctqI+oxd+ogN+mrYTATMo7k2R1l75i3BXsiasb7ILedTO8G68FmERHRS87LLLhufNW9/+9tXH/nIRwbJ6RUsCEj7yrqyJqXePSl1YtNnkrzocyufjVLrLNexZU7VCWyST2SboH0C/RlLUnXJk00+bZLah4hH2MGLnFR/0rn/tFmmeexcP3M0J+y1v7KfU6Y8kT79sMXJTxh/4AMfGJ/5b33rWweZHNI59wcksH7higRV7n+KG97whuN/CKdDnRI1HpFuYzSnSGp2akeHdtonZAyxzzUdmZPgE/mmRaAIFIFNRaBk56bOTO0qAkWgCBSBow6BOFAGxvHkdCrjyHCC4owiQeN8xFniqCQ4xRHyJA6J9nRxShqKwNGEAGc7YXbEU56UzLz+lcdJn8uja06X9elHGiefTAgR5faeMqn9mb2qzLV22+1PZBICJGQivSK9gvb2tDJEiGvys87YuG4cbEj9nJJNH0nZGJm5ng5RSDou+mejEMjcSTPvh5ovc259idpl7cpbawhAj157HN2Xak5wIuKcYlSHQEeUaacv69JazhcLSDg/zINQQ6Y54WwtazPbpr85zHVzefLLtUre/liGpd7trpWnLuk6Xcu6+drYjW0ZIjPbrCzlc97nuXuCz3b4+2IDQen/AFgL5kqdduaA3tw/yKg3T2xR7jq2pc+Qrktb5+vYlVRd2sP7UHM062q+CBSBIrCXCNQj2kv0t+l76wPlwE/+beRaXASKQBEoApuDQJxGzoUYB4eFbuucDM4M54VD86IXvWj17Gc/e5yyIOsUzL59+4ZzyJkg5/QGvRzMiy++ePx6u1MZT3jCE8bjf6eeeuqQ5+B4bNB7vZYn2DYHoVpSBA4fAes/zn7+PZLaI/aZlHOf/OyIy2uPNBDJaDvLK5vjTiyMTexCPkh9YSHv5FSIh/TFDoSReiSE65wmk9e/LzjE6LSfySNB3BsQRyeddNK4zvi1FWb7Q3SoSz0Z95jYxQZtggN9QlL5tE2aPtU1bA4C5tU6SYr4E82tmGD+fAbZB9ao9LKtE5veFena0wWXXnrpWMcf/OAHx/qkx2eVH9BDWt7qVrcaecSlMmtYTF+Rl/r8snZji1TIepJnkzXJ9nkNy89yZMmI9p528tL0JR85+cgsy+Zyee3ZaU+4FpZ961N/wdm1KCh3wnVJ4o7KHf6hw0lO/bMjuMEhfef/B/8LuNc4WQs7eSS0OfReb3MXkhphat78SNotbnGLlf8XvEP4uOOOG33EfuMS9Lscu/LgIr+uXnlDESgCY3+UW9uwhXDFr8I2zMCaUwSKQBEoAkXgSECAw8cpiDPAgRFdi+o5RHFAnXa5/vWvP5xJjiaHg+Mp9Vieth5no1Oes8MZ0S4/YECOcyRy2jhHDUXgaEMgeyppxhdSRJp86qT2Thx1bXMdgiX7KuRF0pRLtbEn7T9BPyGNlKcOeaR93lUor629qQ0yQhkSyHXITLrYhlRCmvhChE6kBjvteV9mIDcQG9rGLqm2ov0f4scXHu4zSeXndmxQRncIDtfRNQb62T/BTKqenoa9R8B8ZB1k3jLP5kh91qY1ZT1Zc1KnNa2tEJ3KrE9rUTvrEPFuTTqhiRzzSPQJJ5wwHlNHvvsBHXpFQZ9Zh1knsSt161CLjPRgIfXLVBs4LEP0Kk+byGQNZ03P9cs8mehQF2yVpU7e3o5e1zsJ6YsecyfYm3D3v4L9PAdymUdzhGhGdPoC1P8F9jI96uSV02de3T/e8573DDv9v6FcjA3mGzGqLLZIxe3mjz1zJBt9s93NF4EiUAT2CoGDf7LslVXHeL9bHxyf+WQ9xnHo8ItAESgCRzICyA9OBocF4RGnIA7TBRdcsDrvvPNWH/vYx8Y7OTkx8t7TeaMb3Wg4PO973/tGO84cXRxLTucjH/nIQXhyTjgiIVpmR+VIxq62F4EgYN8cjMw4HOc6e9DJJ6eekD9IAKRASCDlSAQy9hzCSB6pYK/li4j8qybl5OdENXvSD/l8wREy0rX7QU6C6jckqLoQVOxASNFtX9vj9r8UHtqQ1Z+orcg+J7y18f5EJIa8e4V7Bxm2siEEK2KEzHZY6k9Uz56GvUcg68R8mMt1c2cdW1+XX375ODmI5PIZ4xSh9WMtmHtrM2uHPk8UhPBEomUNyVsnZLSzvuXTt1TM+k9Kjo2C/BysK3JLHbNM8tHnOnlpQvp3HX3ykZWfQ9puZwNb1+lJuzlNPvrndtvlI6tt9nIwhesSK3Mmui+ZV23MsfuEQI9r9wj3tpz6fPe73z1OlrvXua+oNx9+HMqcOjXuXZ8nnnjiOEWuTv/mWsx17E1fcItN0sjOcs0XgWMJga29Xm5twyb8wK+MNsy4mlMEikARKAJF4EhCYHZ45EX/+yQaCwdB8CjgLW95y0GkcCad4uTAaMNx4JC4Fjij5J3o3Ldv3zhV48RN/q/iZDQUgaMRAWuc452QfSXl7EtDSkpFzr99hhy0l7JP1AkhNxEC8k61yXvUHEGgHXIz+pSTsQ8RA8JMhCB+xBAE6tiVaymC0T4NwSSlH5Fgr6sT2ct25caRfsiygW3qXRt/gv61Ybf7Bl1ShKY6pIZ7SK7pVR575N2H6BC1J8N2qRByNH023VsErDFrwZqxFqwXZJe8dYLctAaQnT5fQtpL7YnMp7VpbSC/lCG+Qoyb/zmkL32os1ayPsjRyy5yoryYkHzSuS0Z5caU+rST0p2Y8ow/5XMamYOl2ifGFjr0L8qnfDs9sMhYyaT9dvLrys1BQvqecci44J19S07f5JS5Py2D07vm0mtw3OOsA/czQVtfjrivuAe5d7hPiPT5gkRkWwhvWCzXBDtmW5c29LoIFIEisFcIlH3eK+QP0u/Wh8bn/is4iFyrikARKAJFYHMQiMPEKRHyzz8HJM6S2zuHlGOBrHAt5WR439ZFF100Uk4J5wnhwOngkHiU0GOEHh9EdNKLqKCbHjEO0eagUkuKwFWHQPaLvcVRR1RKkTce9Q5xaS/ZY66RlwgfJJC9ZL9w3EPyOcGG4LHX7DPlCAUyZO0z/dmnZDzCm71mjyonR480+9+oc62MnDR7OuQIosEY9KtPfQnKyGhDj/YhcbPfIxs8jBnJZbzauq9Ej7ai8pwqhQl5+ugIIZvHlJEeTvkhwth9netcZ7yrcRjYP3uOQPaD+fRoul9Od4oPoWU/IDkRU6I5NY/Ieq9PsRfMt7VvvUvNt7xyqXU3E2hZd0mtLZGcqB96EyLnWr1g/VlrWbvZk5FVb62rT5l29gH96Sd9qosuMkLScbH4M+uUn8PcLvmk5NJ22U7dLOd6u3AwuegPRq4zNvoyZjjQI0YmbYNb+oel+0Hug/L2vHuB+6S8iBS1fvzvkRPh3ssqWjPuA6L7lLXCBkG/7JVmftJ30yJwrCGwtSfLrW3YpF/xK6ANM7DmFIEiUASKQBE4khCI0+F/Hs7J8n8fzghSAnmAIFHvsVNEBweE8/j+979/OHzKORchH/bt2zcIB45LHCJ9zH0eSVjV1iKwUwSyxu0fe8QeiuOO2EHweExT9PoHDrwTTAhPEfEXQtK+cmIJueO1EfniII96I3sQQwgf+0+9fZq9GJsRCexI3XKvR47tiEUpcofeBI+VGg/d7gEJIS3otMe3C3SyA0khGqtHld1L/FiJewUs2KmOHTCSwiRkKxuQve5LMNEOyeE+I7DNlywNm4OAtWH+za+5NO/vfe97R0R+Xrb1A0SIKSf7rDtktXWd16SYa2sRSaXeGgyRtm6U+ssa1681Y+1ZnyG6YtMsG13aiNa2dRVdqVeeSG/2gPp5D8z5ZV10LVP9CrEheTbQt7RlCC/+REfaJs3YF+KHdZmxzvjIZ/+xL/3LuycFByk58yGlS1nua+5zCerIuFecf/75455greRVB+4N1pN7pWB96M/6oIde68aYBXVzfhT2TxEoAkVgQxAo+7whEzGbsfVhduBXjXNl80WgCBSBIrCxCMy3b07AukCGs8FpEBM4dwgKETFBLiSLlLMhyquLQ7NdP9Hb9NhEwBqxjqwTDuu83pRZb9YhGYE8skNMUEZGyFpNGpllqs0c4wjHyZaqX9oUPbEt5B3C7uyzzx52KnOKM+/VRPDQH0ccqeOLAY/hInmQmjmtaVyxXRv7yLU0+RA/ysnYW/LZY7mOrYeTGrMQXWkbPOZ+Unc4Kf3BOEQR8iP6zaNILvXqyFgD7jvIYSQoAjSEKNIT7mTNhR85QYQ45eW1GjkpCHOEqFODyGJ4I0WMV9Rv8ksMDmecbM2azb2Q7ozfHKbfWS/7M24yV8aGjCP66YUjGwRrJ+s7MjtNMw46EsybOTA/iH1zdM4556wuvPDCMaf6yueD+UBK2ws3uclN9u8NcxKZ4JM1rh9jsgYPJ8TWtF/isk5XMErdch7UJ0Ym6ax/2S4y11Q6j+OqtGXWu8ThUONPW2t9J7LZ19avNYXkVObLIvvel65Of7rPuufmROcNbnCDlYg8P+mkk8Z9NuRo8M9+o9s6s1fZZI2xM/cieeXWcII6e5yOtJv3rDa+6KJb1J5t85dF0dW0CFyTCGytxfX/+F+TRrSvAxDoyc4D4OhFESgCRaAIFIHdI7CT/3PI+Ad+GZSJnNJDBTpmZ/hQ8q0/thGIE7xEQTmHUkjedfLWmfycLnWsu9YmUX3aKxOkcVI5tSHlpEg3aUg27x1E8ijniCPi1LnmnHOCRQQOhxvZ6TFMealr+dmZHkZcw39gsC4cLsG0Tocy+t0TRKTW4QTkAsxhDVsnvdiF5DBPiBBzBm9kmzlLf9qRzb1LuXuYiHxgS+ql5mmei6yJ2d5glXSuI582yc9r1lhEfaW9lKxysnP/s+6d5ulY6j5Y29gZu8nGvpRFX/Rkf1jziB1kk5ObyH5l5sqjx9rDOqQ+ohMJjYg65ZRT9s9L9ErhIFzZzxA2H66O5TiHIdMf9YeSmcT3LHt12TjrnfM7GWjkdzInZOf/NZDjQtajU+DWndQ9IfdmMva1fZy1Z626x9KX/c4G+0S01snGPvnE9ElOIJO6lCnPmk29OnJSZepdC+lnXPRPESgCxzQC6//zOqYh2fvBb92sP3O33ntTakERKAJFoAgUgSJwBCIQR1DK2RTnkPrZSVTmmmPL0eXUcmJncn4njiQ9CdvJc6KRZt5T6yQREtOvRCNykGpsoIcTfotb3GK/A0yfaDw5acROjnZO9yA42azcCUMO+DyG2HaspSEIgmHmxpyrM+fmRGo+EMqIDmQnQsO1PHnzhIAjS0ZqvuBsHpBvHpnOe/6Qb8q8A9D8xBZ6tUuMbVmzSTNX2olz0JZN0aWOnpn0Vc9+bfM47qzjcPLBAqEjsjFY0hObMyZ9hjDWVr11iXTNWJYELDzVvelNbxrv4YSxVzXoR7l9aX0Hb5grg3de0YDs11dwyDyzQUBYqW8oAkHAmvXlkvuAe7Q8gl102lu5+3PWcfar+/Wpp546ThNblwh3e8P6zN5IOvclbz27n6i3D+Y1GdLUvUYf6kRrV132mDTt5z7TV9MicE0gsLUGy61dE0AfRh9XPFpyGI0rWgSKQBEoAkWgCBSBIrB5CPifmzMocAQ5lGKu1YscwziXHFmEUMhOdcK6/9/jZA6BxZ84nvpD2nCMRWSLQL8fw0AAIXMuueSSQa5deumlo44NbOL4ehT3vve97xgLgghRhdjkUHtk92BB/2zJ+A4me7TXzWsAHsEk68RayTs54WaulhFZaU3QhXjzYzgIaqmThkgQBAldCDb6vEoAEYd4Q8IhTRAhmRdybJGab23F5dqL/Zmn2J3rjMfaCpmnLGs3RB894m5D7LBXQlDqJ/ZGd+SSsguu2mV80uyJ7Dv19oxTnNq84Q1vWL3rXe8aeYRn5uCmN73p6uY3v/kgTUPoS2GNCGJPbDLWzGXmFi6xdbdYtN3Rg0DWqRHlvurHEAVrE9mYL6O8F1beKW+PuYcMJWON2vfWsP1uvbpXZ69Yd1mL+rR3si/ks2el9gcZkQ3uL9k7PgOs8wR1qU9Z0yJQBIpA2ecNXANbN/Xd/xe2geOpSUWgCBSBIlAEisDeIOBfCqSJyBnkaCrjdCJDkEycRs4opzOkJOdSHQKF45mgrUh2mZJJPf2Im/POO2//qaCcFsypNbboWx8i59i1yKmlg1PrNKBr5TnBKY/YiVNMNiE2GLN8SLTUH6tp5sz4Z7zmvDpykU1eeYIy2HrM3VyaVySn+VSOxEZ65OSnNUVOvXVlLp3YdRLx5JNPHgQ2YgUJak3Oay5rjw7rl37rKmuB7drEztjNVv0kzGvVeliOOXI7SY2DPVmjbBT1oTzrTx/KpdrEBtdZk+xVh/BHanpPIvLYWGHlpKaTsEh+p2NDDsNLnevsAzhEr35dzzZlbPoXY3/Kmx67CGTfWotZT9aS9ZM9Z0/LO+Ep2vdeeSG1J5Gf9nlOGPuCwxr1g1jHHXfcWI/WJT1OjNKtD9G9P+ty3V4mK2gv5jNCmTp2i9a0dd9QBPYCga01/Ll/RPbCgPZ5BQR6N7gCJC0oAkWgCBSBIlAEisDRgQBHEAGDOOFkynMK/U/OYcyjsBxETiTyRODwbhfojIMZx3QmeZRxOjm+fkTFKU6ngZxWQ4Ahxpz+0d/pp58+3i2IvLn1rW89iB1EWBxtjzdqz77YyzbX2zm1bBPYIeR6XBzDf0ImzHjMefMhmDtxGRAa5sPcmD/zNLcnrw+khznzY0ZO6yJDXCtXZg0cf/zx4zF3c+TX3xEkyE42rJtXaxYBKCJTc7IrdmoX+5d2L6+zLpblO70OPrNfCwd62SkVyZFhl7W7LpAh68ef3vzmN6/e8pa3rF7/+tePNsZ6n/vcZxDCCH97hT5tzAGcpPbwdoFdbBKCUezark3Ljz0ErEHrDZmZe6t1Ilq7olOa1pN978S2LzuQnlLhpS996fiFd/dn0RcZSE73inyRob3PImSndUnOXnYPEJSJ7BDJW/PuD/lsWrfPY+u8J4fC/ikCReCYRqDs8wZO/9aNvSc7N3BealIRKAJFoAgUgSMFAf9KIKc4jhxBDiJCklM7/5shnzJyHF0pEkW5Ntq6Xgb6Oa7IJ6QmEuuyyy4bxBaCSzmnmJPKoRURM07xOKnmBJ9Ta5xo+qUhZGKX69gvz5kV1RubIK8sbUOWsV9Iu3HRPwMBmAXDpMErEAVrqRB8XZsT8uYgaeRDVpj/nOi0NpApiG6PvSJNrR0nw6TqrDXrwPwhvxEhN9j61We/9I5s8XitPthLhmz6ZIOIILEuycRe6y+yxkHuyoSMb7aBPn3OusnlS4CUa4P0zynOyy+/fIwdTuqMEfGDUGK3vP0ib8/Awb6BX4hn5caqPTxiS/rOHlZv3iIzBPunCGwhkL0jzV7J3gpAWTdZ/9ZVSEl13r3ssXb7zz73A1pITZ8F9rd17L2eCNCb3exmY43TrU/3B/3mS7AQr+ronslO+8x+0bd6a9+ecL9oKAJ7icDWWi23tpcTsKbvnuxcA0qLikARKAJFoAgUgSJwpCPAEeSYIjk4kiJHUZCGjEE2xXHMmMmmfeT9H6+dKB+nl2PKsXVyzyO4TvMhsZTf+c53Hk4u8spjuH60xuONITuRL/TpK84zZzlETUie2BWbYn/s4fDOgX10N6xHIHOp1jzOuM4t4EpWsCZmTNPGXNEhkCeDeMjjrOmLnLWG7PTOT0SIk2GIC6QfEjCE3QknnDDWCF2IP0Q4InAm7GKXfrMOsibZpp686Hoeiza7DVl785pTpr+5D30qz7j1xxbj97j6xRdfPEhP+8T49u3bt7r+9a+/uu1tbzu+JIDfPB557e0JRCe9+pQqXwb9JyxtS3nTIgAB6xaRnnUsFec1lLVtT0Z+Rk9793ZPECA9rWt72ueBd3zax+4L1i/S0/qm3/3ePUB7hGj6sWbnmL7YlS817An2rFv/kW9aBIrAsYtA2ecNnPutm3hPdm7gvNSkIlAEikARKAJHEgJIEM4kZ1BcBnVi5DiWcWRn5xFBlVN6CJq8c83pnRClUoGjSgddTtv4IRXEphM7Us4uYif9zH3HsaUn/wqRoydBeSJHV3CtbZxkbQRjE2a9o+AY/RPc4CG4zhpIfh00wQ8pYR3AF/Fpjcir116QNw+ZC/rVaStoY849+oqwQ3IiOpAiCHPryHUCAsSa0Y880jzvsHRKWBkSFIEiry9ESOyhRz6koesQKvK7CdGXtsbGbjbSHXzVG7/98rrXvW6M2ZcBCF4YCB7vtb6lTkEbm9QpaBiro5f9dAVbfRqna+MmIyawMX3Ik1M/2xbZpkVgHQLWjZhg7YgpX6bkrFFr0/7OFxpe0WDN2yP2QvaqveKzwGfDaaedNta7Mus5IfeP6J73wbyWrW37Jfsj7ZsWgWsSga01WW7tmgR8B31d8WvAHTSqSBEoAkWgCBSBIlAEisBmIzATlnFMY7H/yeMYrpNDlOS0pxObOYV39tlnj7xHFp1Q44xyMm95y1uOkztSP0jh8Vs/ThGyJv2S57ByfEMSuQ6xIxXZS5ad8gmu40/M5E7qpZEP2WN8aTPLHUt5mMBZOmMoP8//EpNgaa0gJ825+UFAIuS0db0OX/OXNYTANF95lUHeM+kEp2Cu6PbIK2LEaTCEyWVbr0Xw4z1OiVmD+7ZOPzohbH05JYxAt94QJk6OhQDNGI0ZQas9G9jkRJnx7DbQbczGRj9c6IYFoiZrXD387B+/qo7MPeecc0a9x3hvcpObrO5617sOctM7TAW2wsD+oBdmyCF90kU3rPQTDLcbhzFmXoIH2cxp6rZr3/JjBwFrIuvCqLM21u0Tcta9tZi1riwkpnu+fek9swnkfbHxwhe+cOxt76XV1meE08zWvz1ln9qf7i/05N5kX9gTuZ/Y+zMpqlx99krsT/9Ni0ARODYRKPu8gfO+9YHxuf/qN9C+mlQEikARKAJFoAgcGQjEMeVsIklcI1A4kRzZmTDkMCIgySFanMjhoCJftOdMfvSjHx0OJ6eUQ8nh5JQirRBZTt5xYOVFdfqJc6x/UVsxDjOZOLbyiK6cAnJyb26TttIE9YKUTsE4yHCi53GOymPsD1wy/zN+M4YHg4QcwiGkJUwToyPYuzaHgnkXrCtBuWg+pGkbck8f1p7XIMg78Slam9ahOuXWlVNgiBFrz4lIBAjC07pjGzKQTVn7bLA2EDFXZj3Akb10WLO5ppttyE2PqSNt7RPRKWj1ZNkcwhbJw06nORE8bGQvu0UhuGpLxp7L/h0Cn5WJbMrmFM7Bmh6B/SmbZZs/9hDIGrb2sjetsayReZ1kbeY+m9Q61z5EfNavvSLav54MsBf8YJlUG3La2Lfe5+mLDHvEPvVZwg717hfsJG/PKBdc57Mre2O299ibzY54rxDYWnef+6dkr4xovwcg0JOdB8DRiyJQBIpAESgCRaAIHD0IxBGMw8kZRRSJcWYzWnXILA6oU2jnnXfe6jWvec348QjEEqIlv67LCUXY5AeGnOJBMMXZ1O/8f3+cUeUCXTmFk/6l7CSL7EKscoA96ijQF+c7pNmo2PpDr8jxNg55aYg17Y7lEDzgEzJjieF2+GgrmLN1pwnXYU6efmvMvFkb5gMZaI6zTlKfNZm+vPsPseG0J/JQHvntZKRTxdYpQoQ9TnwiSKxH61BeufVFf06cWUv0pw82Hm7Qli1+UIU+dtOvP2N773vfO06ivvrVrx4p+9lw97vffRCad7zjHVcnnnjiftusc/pgI8bm2IUwRfzbE3AzNvMA22VgW4in7JV1MvoR6Jj36FK218cOAtlf1pg17R6RtZ17btCwZsTlGkReIjR9VtgPWVvkRF9EnHHGGUONdf7Od75z9Y53vGPsk6c85SnjdPZtbnOb1UknnTS+uLDWTznllLHPvObBurfGozf2SLP2pQ1FoAgUgSBQ9jlIbFC6daPunXqD5qOmFIEiUASKQBE40hDwrwSChBMb5xQRIiJfOLBkEB8IF+QRouayrceGkUpOpnFIRaRSiKV9+/YNRzbvTYxDrF4/0atffSG5OLq5zr84ytiByHFaLw4sh1ZkQ052/n/27u1n16Ms/Pj7d5gf+lagQFugG0pbWspWIBKMIaJBjwxxc6TxT9AzI8YDjQdGQowREbdALWDYClILFFrKRtnIEqIeeeB/8Hs+037XmnX3edema7Xr3cwk88x9z1xzzcw1c23muue+Hyf21GscwYaruZnzlVVHn7R3lgNamGspWmxpGW2i274UjPxC9JZu87WB7gUw1oM+SJXJa17CFXx95XzhfFfHenbamCPeunEKUrn121qHr3XLYcrxwlHixHF/kALXtQR90651qw+cr/hGn/wRizxrF29o3yv299577+Ahr+y6N14RDviE8KrPWYR3BLRVJspDO85i15VJi9G1+gPJ0z/Bu20O5vJ1fTYpQD5b0/Fm/BsPW1P7+KZ13FqGw7qzPq1XdZS11uC1BuX1IMPDjMcee+z8QzY4lOPjw52+oVte8YpXDB6mG3qwMOPvoUb9PpuzuEZ9oymwW7fLt3ajJ2HT/jrZuSHIul0UWBRYFFgUWBRYFFgUOA0U4DThBMohaSO4DTajHJ1OkHnF8Ktf/eo4SefEzV133TWcNDacNpii65w4UoF9P+OG0+bZZtQmVCh1bbMLRuqEnM2u+qJX1p2Y45jyGiPcbbjVLairjQK4bT8qW+nFcxSttnRB0+am+ZF2XZl64Yjm5m7Ocz0HdeXN66ByZYXqmXP5nBvWmWvRutAfjkVrtshx4iSwk2XWhXZuvvnm4ehUj8Oc80TQVzieTdA/zhxRO/rxne9858A3CPXBn7JwZjpl6hX1l770peNaqk/6oP2C8emfU6Ecn/oPZ/31UAFM88DxK8IRjXL6gNG/GX/tlM7l0bqylZ5dClibrZvWRWm8F8+4r0xavXjVeuzhQ/qH8zM45XiHnBedxsar/sH9oYceGic9ewigvpP9eAlP1U99od9yjIbr7M7gGvmiwKLAPgpcbInsg1h5zzsFdkrkgtX3vLe+GlwUWBRYFFgUWBRYFDjpFGBK2AzaFHKwcIxwkthk+gYixxBHo9TJOA6WTtDZwNqc+haiP3/hgMzBw/liw6m8De+WVtrMATNvTmfzpk2yVx85W7t3isfGVdBXQdkc503zAHgapnz1tKUf6hm7uMIFCsxzMV+DcF9e13MKpvnoOtq7F5TP6bh5Or8yeeZICH9lpVu8A3j3Y46tG2vYP5xbvxyF87+6O13JAcNB6pVYa9f1G97whpEfrnms5c1pfZHqL4emhwKtXaegOWrg4aD3/U2vqovaladdAY/hDeOCr3UJL37l5AGDB/AOR68UrMj5I8aPcMI30y9Y9VZYFLhSCrSG9sEri1crt86E1pty0T34dIC12oMGeYJyPDDzNx5+4oknxulofB0/q+OENP4V8ZTPqOANDwXoDGudTlphUeBGUmC39pdv7UZOwJ6214TsIcqNztopgOXsvNGTcJ3aN5VL7l0nYl4BmutJ75kNn80cVv/Z1L2CoS6QRYFFgVNKgestO2w+4bRh9AowZ8qXv/zl8dqgU3EcRU5sklWvfvWrxzfVvP57zz33XBcKt0HmoNGHxmdjeilnDIePKHAI2RRL1ZEeJVvhz6HEeQTWpnhthC9MJxo1D/N1NM0Rd6HGlV/l8NhXA/4t7tanfrRWXIMVm/vwcXJaR62D8ks5QK1pa/sTn/jEcJh47Z3zBH6OkT/4gz8YJz7ri7QYntL6JRXg8c/q733ve8ea4sThfHHqjOMF33g44EGBvs9B3zlIrUv916Z1KbVGt/DqOrnWOlZ+1Ljndtb1osDVUsD6nuXzXD+5MOdtr8FYq+Q8nvCQYRvwn/LWceXaxhvy8YLgQYUHcf693cM4Oovzs1PTb3zjGwfPvepVrxq8rO/qXklf4+Urga2PV5I+V3ivpO0FczwosFtTy7d2PKbifC/WI7/zpFgXiwLXjwIUukjxpXxT4NevlbONCX0FekV0z9hxHa1LwZmL6jCo3IMX3M/6KYMPjGhzUTujwu5HfmGuG15tVUeqjUIw7uFeYVFgUeB0UwDPJzOSC9sRB0N2bGFn+aHeDAtfembGCQ+nn01jJ+B8W9C9U2iC02avfOUrx2kZzhYn0ZxK4xBKhs04XWvvakLwszy+EjzG7ESQkIzeN84BsPkJPlpv296An8nb5mUe/L68ufxKr4/Csy9/zjNP1ra8OW7bBZNzQ9mMQz5HC6fILbfcMta7zyRwlOQ856y0xjst1nc1O00Jn/UPF0ejulJ/hMRx6ruc+EQ9r9j6HqiTZk5wuufsAY+n4BCyI3Lyt5at8cY6ADc/4NSVtq43IOt2UeC6UMAas+7nMPPWnL+9Bmd9CqVbGPet+/hcXus/vYZP8Q/YF77whYPX8CY+rH8coO7xD77Ei77NC1dtwF2AW4iv629tB3dUOvd3CxNuDlvXxn8pGmzrr/tFgUWB544CV2exPnf9WJgnCuwE5QUvypS/Lk8OBShpkVLNwGX0UqorXB8KMCrQN6Oi0w+MnPLaKGsRvCfK5qANiG9kgbf5mA2Tnk7bpGjDqac2G+rLm9k0w0pemyM46oe686ki/VAOV69rXh+qLCyLAosCx40C5IVANojkgTgHsgMcvRGc8mTIfEomORM8GM6VWYapS+Z53dafDnFyOu3mFUEn3shAp9GcPvPHKb4n6Ltpczvk2gqLAseNAnRn+pVepUe3ax+PxFMcJ76l6VQzfhB///d/f3wj8+Uvf/mBf3/25ye33XbbweHh4XmdjL+cgnYS89/+7d8G3/gn+CeffHI4Um+66abxncE+9eA0ND4UtI3/slPS9dIVFgUWBfZTAM/Rf/EOPqKT8A19xMH5zW9+c7yV8PnPf348dMB/vvfp+9I//dM/PeDSsTO/wS0mP2aeBD/DbnunH8JRMPoMpu+M0q+zLt3iW/enlwK7NbKE/DGb3jUhx2xCdGcnMJez8xjOy9NzMxQxWTbHbXdnRc0IBzs73rbw6/7qKZDhwgASozlal4f2sRMHI0eCwBCRrw5Yhk6bpfLD794GJpzqh7NrZQX1GD45Vqs3z399VafNWvVXuiiwKHA6KEAWCGSSkEwha8iF5MhcTnYEp44yEaw63SsTgk3m2MiRL2Sa6y996UvjT4fAuq8tp2CcRBM5bbyCK08bcAm1VZ2RuX4WBW4wBdKf1iW92jrFC8qE8vCB/JyWHJfixz72sXHiE7w1n3OC08TJTCfEPOR0Ysw3QD0s6HQo/vC6+ste9rJxohOs6JR0/INfi9rXH7peXQ9ZBW3q3wqLAosCT1EAz+AXfCK6T1/idTqsB3i+mcv5iZ/Y6D28o8t817NDCsrwNB7Eb/Bmn/dwYqtbtSuA1Z94Obkyw8sLvkMu+jrb/E+Nbv2eBQrs1sPyrR2ziV4TcswmRHd2QnM5O4/hvOhSRnaKjhJO+c1dTjHKS+6VznDr+vpRIJpH51ItKGMk9QpbT1zBmMvmsd5k3LgHU6z8cml9kQq1Uz34RWFtdqLKShcFTg8F8H5yJPkyy4OjRprsqJzssOHy6rlruGyiOE4KNm79OQs4Gy6OS6+uf+ADHxjfOvMqoJNnTr/4niAnp9d84eN0gdO1tui52iIf03e1t9JFgRtJgXjEGhUL+ICex3etWw6PeFG5aH3nuPQP6l5p58x08tMnHfDOfffdN/79+Uc/+tH5Mk5Pn3ng5ORMufXWW8+/tu6V+Hgy/qHb9UOon9p3slrAf9kiI2P9LAosCgwK0EPpog4pcFjSUXicnvv+978/HmI89thjg3d79d03PF/84hcP3gSPNzlA6bhOiWZ/48vkiYbTdenu5IX75Ao4uMDCLxbgErayqfKVnn4K7Ob+glI6/cM9ESNcjxRPxDStTh4XCqTASvUruZaSq68UYUpUSnGDZQBXJ9iVXj0F0BNd0TkDJbrOdO862msJfOm2jnx5wQzAzQ+ccwhHee7nPPDNf2WXwh+elS4KLAqcXAq0WeMEsSFKJpAHNk7KRTqhhx7JB6NOboBNb8Dj3p+kCO6TLeDlO7lmA8jZCdYruj/+4z9+8IIXvGB8w9CptE5xwlFfOGngaPO2latgV1gUOA4UsE6FeKo+xT/KRWvbOramRY59wSnMnJ8cF/iDYzO9jH+cisZPHiT4PieYO++88+D2228fp8Y8PFBX1BZni/ZnR4j8+Apu/XGaDFx8Vt9XuiiwKPAUBeJDfEK/CfgVP9Gn6VRl8jk0/ZmRT7Zwgrr2HV26zoM9+g7v4c2Z75IXygT3pdqKT6X6JJUvznUqq/5Asn4WBRYFjgUFlrPzWEzD6sRJoQCFRlFuFdus+BpLSpEyphQ9jVRXfhvbYFd69RToiSvjpRMVsDQX0pwA8s2ZjQ76z8YOuOpkVMF5KaOlOvAKrYen7p75C15/azv4S7XxTCwrZ1FgUeCkUCCedypl3mDJb4OmjFwgv/p27ywTOEnoDfLCCTVlolMtXq9Vl+OEPlFfO+CdWvuHf/iHccLz537u5w7e8IY3DBxgnCbr1T390AY8gr4pq9z93J+TQvvVz9NNgdZttlijdY+XlIvC7JCY17K1Df6OO+4Y3+oE71V33+T0B0Qf+tCHDh555JHhJPGnQ06LcXJKf+InfmLwyqzH1RXhjJe1j7e8Zgs/vlKH4wXc3B+wKywKLAo8RQG8gUfwi9OY+BUf0W/seHyOL8E5jc2x6WQ2Pen7uv653XeoncSm45RL4Uu/wd81PDM/zu03J/pAnkjhkop4e1u/OitdFFgUuPEUWM7OGz8HqwcnjAIpxNJt9ym/uSwlWLqFX/fXRgH0ZoDM9HUtv+CekSO43gawxW2Z+3AdBbNvQ7WvnXDBc1T5vvZX3qLAosDJokAyY1+vkyPkxiw7tnXIiOREcORYcFJ/vCIF5wSab5g5jeZEi9Dr6mBsEqsfPjDJxvBIlbc57FQp2BUWBW40BazPonUaj+hX61u5MJeNjN2PMmtbXacxPTzgqOxTEK6d/PTHJxwtOVuUOzGWE4ZjBU8p1275nB9wiz1IqAycuK9f9W+liwJnlQJ4E8/gj5ln4ie81Wvt9BJewoNOdvq0hG/n0n9gODLxss9GOO3pQV/6UB344Z1lhXZn3txeg5Wn3a7du55jMGd1Hte4FwWOEwWeues/Tr07o33ZCcwLXpozSoOTPGzTNytIY5G3VeAneYzHoe+MmfnpKsNmPpHJKEJzBk1G075+m5s2J/AJOQVcN3eMInCCdkTBXNswqeu69mYHgXpgGEiVrw3PIN/6WRQ4lRQgL5xCIYM4RcgDQT7ZlcwgN5wE8z2yowIYjhayiNwQXNvIPfTQQwf//d//feDPGpzo9Gqtb3K+5z3vGd8p47SBH7zQNz31h8wkjzrdolz/tOcUDcep0zNwJO/ArLAocCMpgH/wlWD9pnfTqVv7q77iAdEaxys+8+Cfnb2u/pWvfOXg61//+nBw4tdf+qVfOrj//vsP/uu//mucGHPi04kxfMBh4mGCb3b6RISTZeoIdD0ewz/akO+PUzhEV1gUWBS4NAXwtpPVeJneiW/wrQd7eItexWf9iVi6FYx8skHeX/7lX46T2r616xMVL3/5y8dJ7gceeGCc+qQX4VKPzqMHs/3JCCF9e6leJ1PA0Mn64ORpfb9U3VV2+iiw0z/Lt3bMpnWd7DxmE7K6c7wpQKmJybLSel25VFBeZJSXNy7WzzVRgBGCpm3Oo31zIp0NlXne5vmZO1HdOc/1jLv5DEZZfQku/MFIt/XmsnW9KLAocLookPyx6ZrlSnKAzOA4IcParM0UIENm2QbOxsxmyjc5vcZu48cZ4ySLjWHfFeSM8YcM8rSjnrQ+1S6c8vcF+TZs2/7vg115iwLPJwWsTWt31rd4RV5reuY5fQPLCcGpwaHy7//+7wf/93//d/Cd73xn8JKTYf546JZbbhkPHm666abx0ABeuLwSy3nhoYM8uJzy9DCAkySHpvbxF97hTOkEmT6oI8SL42b9LAosCpynAF7DP3hEnAM+w4N4DC9tdZO6yvA6HD434UGEk50eTqj7wx/+8ODRRx8dDwjxLJ4XwAt0ZbIjOTMKNj8zD4N3r12hdFNl3S4KLArcIAosZ+cNIvxq9mRSICOXYhOFFON8nbKby1LCc95AsH6eFQXQEy3NieC+OXHvOifCdj7c75uHuT6YInwCfLU716/t1gdY12CKcM915mvwKywKLAqcLgokF2a5YoTJpsqlc0heOaHiBCi54zt/TrZwdDph5jSak2Oisttuu21s3P7f//t/Y2NncwcvRyg8nC82izlikkdHySFtOm2qzrb/c1/X9aLA802B+IbDo8hJYW23xvVpXtuurWN62alL/8Du5PJ//ud/jjz/3uy1dc4RDwlE7Xj1FS9whnKUfutb3zr47ne/O/jy3Llzwzni5Jj6nCucn/7IyIlOzhXt5kjhZO1+y/PPNw1Xe4sCx5EC+MJDAnwy84h7Dw7wNx6mI12DcS0Pf9J1ovt4Er97+8F3PP/pn/5ppPQhXv/t3/7t0Rb+Jks8zFAfz5IXpdEKXkFf9KngehsrW+miwKLAjaXAcnbeWPqv1k8wBSi9eROYsvVqlA1qhi2jl7HMCJ7hT/DQj0XXMyzQ26Ylo8TGn+GC1mDMCyOme53PYFGeQ9P1PD85HMCXz7Dqel95+KSF4KwBofYYZuBmg646K10UWBQ42RSIt+N/aXKBDCGvZnkyj5a8IqOc4nT6jKxwTc7ZtP3gBz8YTk46xobOCRV/tOKUCienTaCgTW0ka+qTvPQVGNdz3/Qv2K7n/q3rRYEbSQFrs/Vq/Yqt0/Kl8vEN54WUI4O94IGBk52uOTM5J3tYgH84MuhrOPEKp6VT0zlX5KsLDg/6B2h86pS1U9UcKepkh8RrYOHLFriRNFxtLwocRwrgW/wj4DM8LMjf8o0yvIW/05mug8ez9Kzwghe8YOjB//mf/znPr05mf+5znxvt0aE93MPn2iuGr/biZ/2ZYcDh7+DHxfpZFFgUuOEUuLAjv+FdWR2IAjuB+pR0L2Olx4oCFJ0polwpNgo5hcug9o+ATts4hSP4aDaHp9ejGMfgKcgVrp0CDBuvpTz++OPnDaSe5mYYzYZJho9NR4aLuQBrXkRBHaF71+AzbFoD8oXmFExw8rsPRqqutcMBoR7Dbq0HlFlhUeD0UWCWAUaH12cZsY/3nVIj2zhlfL+Mk/OTn/zkeN3WPQeN7wX6Nqd/Wu8UmZROEsPbJjAZJV/0QM6JF+Xaa+PmVA08hfB0v9JFgeNCAXyUro6nWuf6aG37Vl+OSM5IPMXp6fV16/yd73znwb333nteF5/bndb0eQjOEZ+CgB8/pa89bMCDAh598sknR+Q4YVdwsLzrXe8aDyBe8pKXDJuv7/PiN3zGqZJ9MhCtn0WBRYHzFEhnxtvx9FYX4Tcw8ZfybGoOS2VwVd9bDnj/29/+9jjRTTZ4Q8IBCd//vPvuuw/uueeewfs5POsU3OlKKZzkgj3FzMtkQjJjzg/PSk8/BXZrZW3wj9k0r5Odx2xCVneOPwUoOcouhVyPKTiKzhN/jk6vNgngbCbVAUMOLlkY1a4tRVP0tvngNERrG5ROMpmr5km6DeozWITmJfhgm6tScwi/uS4wjBg24Sg/XOW7dy2FRwhvdVa6KLAocHoogL/xerxvZMmDRpmcSC7k7OR08eDMN8ecSLFRE71i6yEaWXfT7tuCyTD44JhTZXP5KNz96BP5R5Zt5WUyqX51X92VLgocFwq0Nrdr3Nqlo/ELewwPsRNcsxnobE5Hf+jlNKYw8x/eKGgDfikHaa+4K+cwcYpTWxyp4PAq2wN/qpNTJnzp/u5XuiiwKHCBAnhmq8e6Vyakv6RFPKdcyh7Hd3QbnrQ/6PMUeFUeOWCfRt+C8xkKD0bIA07McNUzeAX52iytvDL54gqLAosCx4MCixuPxzxc1IudUH+mV+YiiHVzoymQoqX8KE33TnUypr/4xS+O7zr5rhoFenh4OE7gvPvd7x6vGDo502saN3ocJ7l99Haa4vMehuTnAABAAElEQVSf//zB+973vnGCwgblZ37mZ8ZpJ84Ar6aYGyxlnnJIGjdYxhCjxMYnQwasExhCTsxxs/vxZNiGxund73//+wOnOfYvj76VZ9Njfgvwi9pWVlCHwaVtp31XWBRYFDi9FOhhFznQ6fLkjVFzaJIp4DhlyAc64pFHHjn46Ec/OjZpTqC96EUvGn+U4vRYG6o2XWTbjJOsUkbukGOFfeZFeXCSi2STvtj4eRXXyRf4V1gUOA4UcJLL+sRL8ynk+tZJTo5N9gGnhrz0vTX9m7/5m4Ov6HrrXx5esf7d4wV8mM7nAOEcxWPxiLp4mg73KrvToj4x8cEPfnDk6dtrXvOagze/+c0Hhzs7EN/qg9OhApzaXWFRYFHgKQrgPTwi4O90mnz6jG5Sjv8FefQTHgQj4F2BLsX3+FiZNyLwHJzqkQvsePsI3/D1/V5vUfiUxa/8yq8M+eBhIptefXhrgwxyTS+m05MZcJML4gpnjwK7dbB8a8ds2pf1eswmZHXnZFCAkkvp6THZRoFK5TOGKWMpxScv5bfk4PWZ42jehkQqMkKiO5joXVrr1d/mK2/O5jmWb05tfvwTslfizKk2OTo77TE7O1sL2zZqG04w23L5KywKLAqcDgokT4xm5nX59IZNF5lCdjlpIp+Dkmxw8qxTnDZqrueHZW36ZkolU7QFF3m4bbtN5DZfHVE5+TbDzW2s60WBG0WB1qh0DnSx9d7nHzg7c3bgJ45FThHfTxc5I7MbwjU7KPCN9d9D0vg13uDkgFfkIHGSkyMGz+JB1/rAAeq6B5zw4OHanMewrhcFFgWOpkC8H5/Gi2qk63rwN/NuOhG/41f1PdzwAELZj/3Yjw3b3tsU+N7nscgO9rzPxeBX9eJZaTjn3ta/OW9dLwosCtxYCixn542l/2r9hFKAQqMQpRSqlOErMqYzjqUMbCcCPFV0DXaFa6cAQ4UhwmhhoNhIcBaIgnz032eQKDdvs/EiTzA/bZqa06dKDsYmipPTCQ7/7Khcu4whfVGX07MAj02OPsxB2+oKaz3MlFnXiwKnkwLJoZnf6RDRaRJ/mOKkmE0WGPA37U6V/NZv/dZwytiUJWNs6sCIyRFUk6+eaHMmJZ84RMlDcqcUvHswc5+STeDgloorLAocFwq0Lud1q290P0enf0v/xje+MRyNXil38gsv+bd1Dkm2GL5jN7AB2BKtcfwgwJ39hpfwBV7CY66Vs/XqA9vuhS984XibhOPTaTHfBnRi+6//+q8HrgcffHCcLLv//vuHQ3Q0tH4WBRYFLqJA/BVvVZiuwo9iAZ/iS/oTT+NFPC3txKe6wdCHtUEWqI//vQnmsxRkxsMPPzz0LXz++M+fmJEVheq7r1+u9Rmubd+VrbAosChwYyiwnJ03hu6r1WdBAQpF5DxiqEoZtxTVvOFjkFJ6grKUEuXI6UgRcUIJW6WknjI4xBRWRi4cTgPUF7gLrrUXjLbcc4QxfnPMgad0KVzjyLGmDfcFeODUx8ZonOqKjcu1ek4H6b/rFG7OVffhaEylxqKOFEz59UP+/AoYmDYI6J8zD5yxyEMjEVw01k+4Z/zq6Lf21QNjjMYWXs5DBkshesGtDSc0GClg1AGP1ugn1CfX8Ira0LZ2i+71TWouwBUq87opZyeDyGkNtNDvV7ziFWPzwsBSV9AGfPCEV/48fvcrLAosChxPCuB7YcuzZEb5yrbl6s1ROTlIFsgnp8h/nz0hP3r9tTJyDbzX1l//+tePtvwo1zY5qVxITs3tyU/GJS/rY/XA7wv1FRwcKywKXG8KWL+Ctda6dN+aLN1Xbv1bm3Sv4N4a98ZFupmzk37GY+wv9sFLX/rS4bTwRyRsB/DascbDNRBOP3gLrEiva2fu28xLdL/I1vPtPzYCOwSv65f2/JmRhxb6AzcbRZ3GqS/xc93Q3kwj+XMfZriupds6c5nr5mDb3hZu3S8KPJ8UsG7xVWu8tlvP1qvy7isHb02TB67FeDcYvOjzV+CU4ze6Fg9yeore0vLg0YMK+6knnnhi1LEHumn3wMSbFfDOfANf9/VLXvnKyq8vR6X1HfyV1jkK18pfFFgUeIoCy9m5VsKJoAAFwNCkyHyHxdM2r/359hGHHgWUkvBk3/eTKMSe7FFqDMxXvvKVQ7HlDOUgU1aA2wftObXElJRXkRjODGX/9q0OZyalV6DYBGUcbpQmY9YrTZTorLgoXRtd/aBE4daGcQXnBAIlTBk7mcCpZ5zqMrxT5OjCYUhBM/DhYLwbuyeS4NBCff3Qv2hlfGjKAIBHO2DnANZmXH/Bw6NvFL/TC2imT8aPdgz7w8PDccoBHIMfjhyI+tYY5dsU6L8TEGD0UZ/Nr7498MADg+71Cc04CPQVLvT1j8TGq3+333772FCgm4AentRqy3ybE3Q0XmU5ief+WSvqtzbU1Wfw5ku/zI1UmbR50G/toFO01w800j840Up7gv5Ej5GxfhYFFgVuOAXia7yJb+NR+eS1QFYW5/LkAZngOj0DFu/TUWTnN7/5zfHaulfXyU6Okptvvnm8UsdJQ7aB1752a1NaeyNzup/7CoYMSua6Vy6UbvGMwvWzKPAcUcA6pvus61k/ak6ZfBHfzOXK8BPdT2cqCxd+4pQ4t/sndY5OOpqeZSO87W1vG6lPQLAtwo0nhfhg3Ox+juIHvKts5qG5jr6IgjbYh7feeuuwI/wrO/uOHcLW+vu///vxj8933XXXOG2KP/VD//QLHu3MOOd+yddGfdJmsPLhUnZUAIuWAjrNuI+qs/IXBZ4vCliPxbnN1vS+9SqPTW49i8Fu67cvAD/zvusOStiz0PF0Mh1tj0Ou2PO86U1vGnoaf6uDj/BTfSol4+xVyCnyCuzc3tyv+Rqu9iLGcCV15vrrelFgUeCZFFjOzmfSZOUcUwpkpHpC3h86+BMgCopTjZKhKGwcH3/88aHslHGCUX6MZCdlGJYUGXiKSEhZcVR5pZBRypHaJhFORirlBx9lqIwSg5tCgiM88jm7KF9KEXxKUHuUGeOXUQ43JxpnonEFZ5zqMoApVIrPeNBBfXBiDlOvP/bqlj41dn3QV5sHil5fq6sv4eOM0/9tUM4ReW63kVDXhlx9DkF95qxEW3Dox+mqv8Yvpui1L8xt6Ds6oyuHKjxOPjD4tamOExmczNXXT3A5I82H19NqC6wyY9YnzkyOBdfyRfOeg9lGCa3hbE7hMmfGYazRH5y+Nl59MhdwydOWOTXG+lc/lBeUqzvPQ2UrXRRYFLjxFMCjZMZ2syGfPCjg4XljFW+DIRvwOVkQDDlA5pB7/hwh+UlOk5VOhZFnHJ05ZLSlncuFffKE/FlhUeC4UCD+wFtifCFflIdnxPivtS8PT1nTYF2zndhN3/ve94aNwo7Asx42s5/8eSBdTuerhy/hZSNdTYBzKwu29fVJMCZ2Cb7XNvuUXYnvc6CwnbLRwOibdOb5aNL4a6/8Lf3ci+DBbOvN9dHycnDBr3RR4PmkwFHr9qh8fVOGpy/F1/gyeTOPJ96uLt5ly+PZr371q2P/0ANJDzDwKt5OHsRz+hB+csa+AAy8wc7tdj3zqmu8KQ1XcCtdFFgUeHYUuLz1/OzwrlrXQIGdkHumx+ka8J2WqikUT/BtEKWf+MQnhpOLUWujKFJS/lWP4ukpOacaJ51vJUnf8pa3jBQ8xcKxpt6f/MmfnH/9yaYUDlEZJ5sNqRMCnfC84447xua0E4wcjg899NBw3DldSsk5Xckx+Gu/9mtDQZqP4PTTP+5ykDGCtUPBUYzaoHRteuHwqvR999038vQD/q9//evDgOZgRBMGNDw2AZaRvoPVD331VNKHuJ1wTfmiK3ipDYF815S1yMH3h3/4h+MJJ4cvRY/eTk0wBrQnT1395yh2kkG85ZZbxgkGNLfpqE+elvrXeidRvS7CKNCO/sKrvxwB8tWD53B3WvS2224b386Bj7PYKdKvfOUr45tYNg7m8+677x5w7s2VV8c+9alPDVjj0Qd0NWZ012dz7V67otNVvtGDVqI84/vc5z43+qvf1p+50kfrST/1q++CcVo4QYr+2tQGeHgEeULzMG7Wz6LAosCxoQAeJQvF+FXn2oSQV/LbnNAzweJr+ieZSvaQ148++uh4wEW+0QtgnPDyr81wcXiQs5w45BQY7aywKHAaKGCNi9kYUvwj4BU6PBh8wO6Sly2HF+SrxxHh39bxCluKrj7c2QlsD9/PxEt4CD76PScFfX6tPKXPon6I8OF5qXFoUwCD9+l/p8P0nXOWU/axxx4bp8be8573jL57K4XdEm79hbP72tL/7MTRyNM/2snGqX39aaxd10/V5usZ17peFDirFMBndDnZY4+DV+0zHK4RlONZjk/yxeEIPG0v0ff7weBb/LWPx+JVbSSb4IpXtRO/ul7h5FBgN2/LYDtm07Ue+R+zCVndOZoCCX4KhHKgWJwkpCwYkAxb0T1FAp6B6T4HICejehQRYxEMfMo5zzgMGc2Uk5CS4tACB5/62vdk7wUveMFwzjl9SVHBqy/weYrPWIU3h1ejg8OrEZ4WOnXIWNcGvClH9Shc/WQAc3rCy+gXtMPZB+7c7tSlVB4cRc68DHuOOG0xxNFHKqBBhnPjZigbCzi49C+HrDrGxgiQr019Eo1Lnnnh9MwB2ZjgQkeGgT4z/tFcO9qrr+imPfTmWGyuOJU5gZXro3I0QUe41Ydbng0SvPonr1fItKOvzScaR3u0gKPNint4zJ864Kwn7YrGBR8c2gEnDZ+yfQFecYVFgUWB40uBmU9n5wG+j3/JEXyuvOvqlSYvyMxkNhlFpnu4Q6aRbbWRDiO/5NXW8aXU6tmiwJVRIJ5orUv36Uk8Vln8VR38RMeyoej17ultb4Z4UNlnhOhjfIQ346PSK+vx0VD6VWxc4S5lqxQ9fNVvtmKf/yETshHJBDZsfW282pAXPaThn3tXnvKivPLRVFDGphIqGzfrZ1FgUWDY9fZ3bP5sevsQ8sUbGeSNvZQHkXgJjP1H+hoJ8drMb+CEmd/kxdvyg4k3R4X1syiwKHDNFFjOzmsm4ULwfFEgJcHoYzA6CUjhcDQxHnNKcbA5UQfOppExyXEm/drXvjYccJ7KUWQUFMec1785OZ2QZIQe7k4HiIxUCo4yo4CcSHSagFKjpLSrH8oY2fJz+HH6CdrVN4Ex60Sm0z1O+ThR6kmgU4CdJExJeopYv52CZBDD5RtUTnlSvh/5yEfGGOCkeI3ba9/6wsiHo1fNnXBEQ5sAJyWdzjQuzr2Uawo3JazP8tCysaEZ2rk3LkYBPGgFl/lAA6+VubYZccri9bs/2pBvs2/s6Oh0Ezqisc0+hyyawoUOxqC+p6ocrObT/HIQaDNnKuMDrDr6rsz40EP/jEFf4NB/Gwowh7s5rh3lnKL6Y06tA+2gpTni0DZH2jKOc0+/1u8ePu1kIGUkGUchQ6b7lS4KLAocfwqQHeQjOeFakOJnMlAkH8kNckBZcPLJik9+8pND7pGJdBYZ7JS9kyFkixNp6pNNIjlKnpOL4Tr+lFo9XBS4PAWs8/gFX2U3qBm/yBPZF9kn+I2OZ69961vfGvZaD2/pem9W3LT7ph77B3/RwXhH/XhXmq1z+Z5eOUQ8r4/FLd8aD2enMeJx906EseN8dulLX/rSeFukN2K8fRMOMobNayzGJaBj46qn7sFoo36Aq3+Nv/vqrXRRYFHgYgrgEfyCV+0DXv3qV4+HkvaK9gfe8rIvIW+cyHbwxR6GzsZ/1ce7cAjyyJ9kWnwozzWeXWFRYFHg+lPgwk78+uNeGBcFnhMKMN4y/mwkGcQMQE4ym0YGpU0nxxjnFaOS48o1pyDDuKC+J3WMZ69Tc6zBTWl5rZCygz+nGmXEMGV4ctpxJjK+Oele9apXDQO0UznayHjXjrpSDj5OU31xItGG18ker19TmvpLGT788MPnX6/XFkcnhyyHHVz6zWEInkNTn8U777xz4NQWWhhbTlPK2elW+JTZaGuLot0GefUFjIj2FDf6oqP2Ztrk+NWejUgpegnKOZSN/9zOWWj8nW5i5HP6ckIyGNDE5ubDH/7w2BCgpYBG+m6utW3u0ZzTUf9EeRyP+gifeWzNSG0yGDBe7QejX/raPzCiscg5DS94bR7unKPqK+NIRSPl6MgpKs813NpHPzD6tA3l6dsKiwKLAseTAvhXnENyRkoWi0LOSbLKwy7yjd7xqRIn2MkK8sZDkwcffPD8t4bVJa/hI8vIDnJrhUWB00gBa9xat8bpyIIHjuwL/EYvZpuAz4bxNohPyLAj2HwepHoQyTnoAQG7gc1GTwvwcybk5MSr2r5WvVsf6/ucwr+VGe7ZTQVy4HBnT7A5f+/3fm/ICnYcu469ZGzsCDTK9tFn43EvGos8uIvGKU8fRGEuiw71Y6WLAosCF1MAX5Ef+Ic8yv73iSp7DrLofe9739iTuSaf8CW9jb/Uj8/wqXIBH7aXcg2mVB3XQvKj+5G5fhYFFgWeNQUuWBnPGsWquCjw/FAgZZByYNBSQpQPI9dTfQ4zzjP5OSRtMBmQTkZSYCkQCoWjkuOPM5TSoogYoZ7Wvfa1rx1KiuHI4FRm8+p0DgVmE8sZxkDniBTgBsdQ5QClKNXlfKvfFGKOMLg5ztTRD2Npo2t8nGecofojuuZgNCb00AY4RnSnQz1hFLVt8w0fWnTSUt8Z1fqjn8YbbRtDihoMOoFheKOR9tAYrQ93xnonkCh0NDbWcztHJgdipyXVE/TbaVZw2uawhMc4OTHNIfyiTYx+e5JqnhgTHALoboOgDrrpo3kFa2zGbTxzNAb1zQWad4qWsxMefdUG56o51Q6ccIn6o7/mB83RAs3hghcN4FQmVYb2ygV9dC0V9RN+IQfJuFk/iwKLAseSAskTsoSsw8fkJP6Vp1w+eUGGeDDFKeOhFn7vQdzhTma69lBEffXUh48sKcqXt8KiwGmigHWd/sM71nuBPqcn8UX6Uhn7gf1C73s7xz0YJzjZDfQtu0gKP7uDDsc/dLZUxGfZB+yU9HPtX00KX/1UT7sF4xPklQ++9krVZ0u8853vHHagN17Yor31cu+9945xHe5kBoeuAHfyJhsCPrQTtFMq3315tascjuAqHxnrZ1HgjFMAj9lnCPZP+BSPkFcdsvD/CfZseMoBEvKEzsezYOIpqfrxLb4T5RfjS/fkBb6uXmVnfErW8BcFrokCF6yMa0KzKi8KPPcUSEFoifKgeDjhcnZ66sYZyGHGgcVxlYPOaUona2xGMxBdd1rSKUSOTHgZlf4QyElLbVJSDHLKB07OOka3DS3DlKOM0hNSUBSkPjCsKcHZENVvkRKDX3349YUTkqPWuDjm4LMpFr16zjmnTaeG9J9xL6pDwXJCipyd6jrlALfNAePfxtsY9F/7nHT6UN/Hxe5HWUpWP/RHG9ri+IPXnwX1h0HagNcY0NBmA83RKDrBXR+MEw2cluTElaL3i170otFfbVD6xvjxj398ODzV5xg2T+boxS9+8eiTfqIzZyf4NjPgC3DpF7wih+ThbgPh1RQ0QE9rgFPcGNAJrvChgbXk9KYxmFvOT+M2t+gBH2enDRjaK5uDfsoX0BxuAR1WWBRYFDj+FGjDQtaQJ3h85nPyiSwhRzguPvOZz4w3AbyyTuaQcaK6ZGkhGSx/yYOostLTSAG6mI5mh7XuG+eWn8DSmR5E+pMQToUvf/nLQxfT4+wcb7K4ZqPAJ7Kp2B3q0tXp3drGx+yyawlw4tcC3KL2kxOu5QngjS+7it2A19kRb3/72wdN0OXTn/70kBnsTHXZROwjNmB4pcpKk0WNU9p1/ZvTuW626Vy+rhcFzjIFyCa6HF/Za5AvApkh4jsyyQMYJ83b6+Alh07sE9TN5netjiiPXMCfc3n0BkMOKBNXWBRYFLh2Cly8G792fAvDosBzQoGMM0oiRUGBMBZFzigORoaja6E6ThNy9jF+q0vRUGjyOQ9tXpVRUhxX8AgceOprS7RBdRIxY90JRfU57+BnZHfCUBvVo7Q4t9x3+o9SlK+OdrxCzWnKIAaXM4wz1ylHRjtHW98VdeKRg8641XEa4NzuRKVXJvUfbvmcdxy9Uv1Gr+goRadtkCfCgU428GhlvCljSh89bDIYA/phzE5YcIxWF3xjkeoHQ8EY9ZOTFt0Z821Y1IVLH7QRPv1EX/3RLwFO98ZifKJ6jRG8uek0rH7bJGkTfQT9l1+b5qR1Y24EsGDAglOu7Wiin82F9oX6YzwMIfUE5WL3I3P9LAosChw7CpAjZBh5g5/xLD7H02SCfHJZ2T//8z+PhzEelpDNZKFTW6973evGtXt1C2STevAkV5Qlu7RFTq6wKHBaKGA90/N0Jx2Kd6x9+WyTdLLx+o6lBwf4iQ2jzElOD37ZT/S4OnQpnQ0HGDyWvsVDyvGUVD6Ya9W9cJEL8JAFQvxam2AK8uZYff2Kx8mJw91DU9/xZA+e29lzPj0k9Z12Y/a5JPDqkz3qZy9pa8Zbf+TXR9fqsJnAsq1mmitfYVHgLFOAjLAPxD/4Jv2PX/AK/uuzGfZlZJBDGA6RfOxjHxu86+BNDzbhUE99vEfvC/CqK8afUve1fZbnYY19UeB6UWA5O68XJRee55wCGXFSIQVCMYkpjQw3cNVhWFMwlamf0nEKkdEIlpGc8w6MfOUpOG14ys6xBZ6xzhnGYIdfOxSYkAGrnxRXRinDXjtFTkT1RI5TIUUHhz44fagtbXKucYpysObkM36bgurrg7ocv+qBg1/QvnL9gU/U3hzkKRekNuTqw+Ven4xrpr177aFNyls7Rbhcoyc8YNXh8BTRQ5/1pei+ea1PcOjP3D+01xf5+gZmhtd3+YK5rD3tC9oRqwNf/VRXf5S3DtSBD1ybBv1UHi3h0g9w6qL7CosCiwIniwL4eOZl/J2sMhIypHKnsZw+801iD1i86uaNAw+r0htkRIFsIF/gICPmQL4ld+b8db0ocJIpYE3TlQIdK8rDF3T4HNg4HJ0i28YDUSekOf38IVFOU7yCj9RPT7uGtxAfy5vzK7/aVJv0u/bgzpaAJ16WL+xrL5kBRzDGxvlIvhiPV/Z9CqMHy94uEea2yBD32miM9U1efRkVn/7RJtulOnPZul4UOOsUwDP2CAIewS94SiRX8FunNx3cIIc8jOm0J971YFOIV+PD9lJ41XX5A/jpn/hZ2yssCiwKXDsFLljd145rYVgUeM4pQPhTOJSEyGDjOCtlOLtuQwlWHfcMRkY2J1tGIcXViT6wbT45MMEInFRg4HBap1M7NrPyKT0RXvjh4ADzzReKjPNPKp9S9Jo53PrpaaBXIMBzYjr1CG8nhbTvmrKlAPUXrNOhXq/QHuPYNYeofHBwF7SLVurqi2jjrZ7+61tjrU5KNqMYjdFECl4bDHI43QtS9bQFHxj9c42GUkZAY3USQ99m+sKjHtgcyI1dKn+OwcNhXMrQwPhsDOAS9U1Ubh7BGjuc5l0+OGPK+QoejcyZOsYmD5wxGofxoHX1lRXghd8YBfXBFebr8la6KLAocLwogE/j4R7QkAP43oMq3+lyyp68t+ERnL4i52+++ebxWQv6gSwkN5LF7kW4yBeBvFBOVoizPBkA62dR4JRQwJqna+luPCDQp+wfTgOOTp+COLc71YgPfLbGSU6fnsFb3njBL+qUgktPRyY2IR4WlWv3evBVPFpae3OqrDDr+/Lrh/HLI2fIhMPDw/N2HVr4I0wyxskxD1Kc8kQPtg76ha9Um9k1rrXDVqtce+wf9+WBW2FRYFHgKQrgGXLFwRIpfqH/BTyDn93T8fYIeJI94AGFfd1jjz024Jz8pP89qLHvwId4UxSk9lXkUnaAthdfDvKsn0WB60KB5ey8LmRcSJ4PChD+lAAlk3Gbo9PGU3RvsyikkBh2ObEoE9dwKKd8OMUoIEF9Trb5lW3GpzrqcnD5d3MneBjlXnXwBI/xDYbhSXlxDDJSKUjfcFRXvjbhowD7FhODleOPIWvjzMhX10kGhrxNtPGqyxj2ncybdt8lpTzhNQbOPd8ZhdM9GqjD0FcHbfSNUtYnjlHjpqzhFaKJa3kiHOrrh2gM2kTTaAbGtTbRz1i0p7626qO6InzoIwWjXcG94B4c5y+4cIE1/9qG070grzlybVycvzZS7ucIr3rV12btykeP1op20As9XQv1TZ+sBXXklS8NrvxSbQv1O9iRuX4WBRYFjiUF8C0ZR47kWHBPPpHXPh/i9XUPwpzgJO8feOCBg3vuuWfIJXXITnKmlJwhg8TkaO2QLeSNSFYke44lcVanFgWeJQXwEz4Q2Q4iu8sbKl7j7hud+Ixd43vlnJ1Sgf7EK/gK76Rf4a0cn4IR8BJeU349eAo+uKTiUSH9X1pfSvUFHuXsNePIQeJ75sL73//+g3/8x38cTpTPfvaz4xufbCMOFo4UcqRx1x8pXOiqjWwe+MBmB1dP/gqLAosCT1Eg2WEvFk/aZ7RfiK/s/UT8i+fwJYcn24As89kzDlH7M7zGHhDhB5/scy+AwasrLAosClw/CiyOun60XJieYwpQAow2CiLDMQXTppEyyqgD557DjWEnUlrwKGP4OrnnhEBOuRScj1M7Zak9TjMOL4ExmhNO25xhHIeMUwFedQRKEQzFFn6OSx+1pgg5MzkHq58DVNschox9DlVPCXNaahte4zIWDjfOWSmlqX39NTbl8CuD0zVFrD82DzYZ9RWsvm6VbDSHT1RH29rRbm3bUMBvfIwD7cAX7dFJHfhd66MxydM/4xTRuT5EB7jB6Yuo/+ZS39HCnEkbP3i4pfAZm/KctfL1z1jU1U8hGkhFZepUD4y6xqx++LUBh/GDFdzrK5oJruHsek5H5vpZFFgUOHYUwLPJLTydLCCHyWUPvcg7MtFDFqetPACjU8ic5CA9k16SLyT/wq88+aYd5WRd9Y4dcVaHFgWeBQXwkShY+yJdSn9yDrCP2F70rAe6eImzwKvrHmIKYOMfNgZ8eBC/pGvxEB0Ovzx8xGZwf70CvPvwNcZtmr0hX132gZRMkKd/YrYCuij3KYw3v/nNw47zmQy2zr/8y78MOK/zs0HQRl+SI6VwwbEN5e3r/xZ23S8KnCUK4FP7ESn5gyftF/CUvRmeso/Bv/G4fQx4eytyiG3goY0HOE6HsgHwOT51wAXfwat+/K68/MWXZ2nFrbE+1xRYzs7nmsIL/3WhwKwAXFMOFItIWVA6FAzDl9ErgHOdIWgzyoAGqww8R2PfSXJPkYmUE2cjRcfg5pyj6HJWMra17VSnk5aHh4fDoKS8UoA2utqnFEX1z+1eyfrwhz88XnEAB/6Xf/mXx2kgShI+Bi5j9lOf+tRQmIxaTwpzWN51111Dcaqbo5AiFvTTySJ9Rhf9dOLI65WMZBt0faJs0SNaRUs40UZgDLvW7+hrHOgk2OTblCgHi7bo5jV/dDJH2nDq1OkDMPrpWvvq6mPfGbXRAaMN/UAreMxHfdEPRgPHsHbRSWQkiIIxo32OR2NrM+VaGUPGWlFXnnHqiyjoO3xwqJsxoi7jRUR7fWG8qKefcGaw6DNaierDY1yC9hpT9B4F62dRYFHgWFAAT5MNArmDr/E/+eK1UjLVP7H2mhs94zSnUx5knAcyZC456XQH2UfekgVkJXmRPFBXG2SaqFw98pw8XGFR4DRRAF/hL2ud/sMLdPKTTz45/pAnPY2f2EROMLKPCnQvu4F94eHCNtC1eAiv4Tt8hvfity38s7nX71l3ZzvA1fhc64N7KXsDHFmC3/UHDThu5XfPNhDgV/fBBx88uP/++4c96CT5Qw89dPDxj3982Edg0Yjtob57qQgnWmRrDKRP49XuCosCiwLPpAD+7LCL/VR7HnzqDTx2gAebeEzAZ/Haa1/72sGzDz/88MGjjz46rtVhN7ANbtq9lWf/gyeLyQYwcF5vWfXMEa6cRYGzRYGl7c7WfJ/o0WZYlhqMa8qB4VjMyKOwGNGchCIHFWXCeOTEUpexzFCkfDg2K+cg9C+YcFF0DEb1PK1jJFJsFJVNqro2pPLgLFJgYBjbIkNXXcY5J6s2KM/PfOYzo22KkJMSnLq+zcTZB47yUwbGCQf/YE4Ju+dwU8dTRPX8W7s+a5sBbBMRHg5FG+g20fpjXOqj16xkjUc+mhi/FH7X53aOSH2X2thrD6xX8H1QP2egsYpgBHTyahZDAi44/Oso+ui3MaINR4Fv3ui7U7DgtKG+cjQwbn2Rr76xwCkai2gMzSGc7o3dvKmDPuoL1o+5A4Mmc5Qn1Adrxbyjl/aM59yOFtabevqpfMYJzpzMfYLTvXZXWBRYFDheFCA78LNAh3gARrbZxJBJeNfmxckr8shr7GQKZww41+Q0/gaffHJPRpAHAjzqyBfJMvIj2TSA1s+iwCmhAL5igzkhjS98j9K1BwfWPzsAf3j1k33mXqDT6Xz8IQ9/CfgHbwl4Cv70PVh5Ihh2Cni8pa1rCfDUdil88XHtSgV9CU4eOPKFnSCUJ19fjaM85cbL/uH4ZAOyyXxCwzW8HgKTN+ySOShDuxlX9NLGtdJhbmtdLwqcdAokX4wDf5JV+ASfkjt4SX46G1+pQ2bJJ2M84Hz3u989Hspwdjpo4gGmhzBw4FE6Pp7Ej8mqxY8nfQWt/h83Cixn53GbkdWfq6YAZUFxMF6lFAbFQel0goYTSmRYU1TKKRQGsZN5GZuUFMXm1IA/DmJYw+PVKsa4DS1HFxi4hNqFT18oRUE9QTn8cIPhYOVw83SQE9KpTf2gAPWlwLEKRruM1QxdcPogUq7w21gHr31tp5j1Ex0oXI5DBjFHn3oCeoj6N4cMZGONZvLQJFzoxJGpH8YW3eDSd45OjkVR0CZj3Rhcc2Zy0qKbdtCX4wAdOE3NGZxz+2A6OWWc5hxtjBdc/VamT+gBxpi1o6/oLepD86W+chEOa6QYXWpLXWNSV5vGwZAB3wZsXlfqK4NX0Ia+CaXjZv0sCiwKHAsK4Ms5kidkrAcbjzzyyJA3HjaRV/0hEblOPjrRSXb5xiB5Swane8iA5IeBkgXks40TeeKeXKIn6LIlH47FcliduE4UmHmKs47uPLd7UEjPcwjgHzoUb/VAF78IdC27Qrk8/FFI3+MvbeAhIf6RgmFnSOnyysJxtWl2Anz0e32Ij+HHz6KQreFa3epv+byy6gevPvuHE9ir/b7j+aUvfWk8/HXSzJjZMXOAS9A31/UBLQV9u1Y6DETrZ1HglFAAT9C/eJrezq7Hp+x6fOThpzJ5eK49CPmEt+h++xz8yWYg28CDpevJL3xXhEc7ix9PySJawzhWFLhgKRyrbq3OLAocTQFGWw44isG9jSUFQpkoo1BSIikPyoiDkJKheCgzkUJ6y1vecnDrrbcefOELXxhGN4XF2ckYFyk2RjgHF2PTq9n+FfT1r3/9gW8mueeU1A/tMyg51XLyGQ3jmpPuzjvvHP2j3Jza9No3g5/jM0NV3+ERPP1zktGJSK+wU6KCJ4c/+7M/O4x/zlgOTxsGKVowfHM26ovXwJw86sThQLL70ZZ2oxNFTlmLxoFecHJwgoELjJRTk5PPONAJ/UV0dtrAWO++++7zfWYo3H777aM+OjppirbquuZMkJorbZpbY4DLCQ80MAZ4lKFbxgWHgah9QR/1jwFhfOipXL55Mq6CsSrTJpz6o6587agjcphqW384OZq3/oXZ/IJDp161N8/uzb90a9C4L5gLobT8q0nrK7z6L9Qn7YtteMJbH5RdLsAFXuwafWec9aEUTteCsW3jKDglP8aJ7tG+uZSibzxuuPjU+pdaQ61RMBxn+IBskeKDNvDqwm8OrFPB+ppxj8z18wwK4Gd0iw/co6X12xo2h63RHuw4ge41W7BkGjlKFnMydBqdDDEf5D75Yg7Nifbg1pZgHmdeAwNennbdm88VFgWOOwXin/SlNcw2sI6tezKNTnbNLmjd07HslnM7RydbCwznZjYKeUf24QOw8MBJB8vb8ke8E99KtwEM3qKT95Vv4S93X1t4G+76MKdw1FZpeNFEAL8N4S4fDLmCLmwhY+BEkY/2TniSR2wxMglMzk/yTFtFOGf8ysU57OvTXL6uFwVOKwXwRvYA+eY+fshGIIeUyZeXnU++uMd79jj2h/YMHpDa63kQ+sEPfnDsx173uteN/Sf7Dm/af8AzP+jEl/hbCnf9cK+OVHv6KASvjj7At8KiwFmnwOKCs74CTuj4E/yUCaOXIczpJbpOKVAiOSg5ohiKlBQHHacaxcGg9vF3weaUAe61KuUUBiOc44rioITAcxzee++9w+HI8UXpgde+oE3GZg4v7egLpWeTDA/lpA4nJyWnrerDYfOrzZt2r0n6dhXnJmen/gucbe94xzuG49bmwmvgFKmNAecJOjR2fXESwPdJ9UnbFKVU3G4A1DUm9dEEPg5imxUbe3noWTv6bxxw6Yt2OGg5hJ16Uk8wXxyWxsbJbPxeV+fwYbhzGHMgarvTn/rNaWoT9MpXvnLgQhdtg0U3/TceDmlphgfHhD5pT8rJaS7QOVhrCc04KqTywUQTuNQVtGsM1pE1gN7a12+puuhjvNYN+jFE4FNX34wtAwVO1wXXtVVa2aXScKijDdHYjUeoPWOJNuFTBl7duf1wgqsv8kRjMF6paHxiOMDMY62ecjHY6s1t1K+Tmhor2lhjjbcxW1OtVWPvJLQNqgct1jTnGv4iV6wj6x/PWsM509HGWkP7ZAa+g3uFS1MAX6AbPsCb8UnOE3NlDgXl53bOmM/u/gH5W9/61pDT+P/nf/7nh2OBjMLjZIe5I8fMq3kzHwW8Lx4V9jlvjoJd+YsCx4UC+IStQBbRd/QNviK/BDpAHtuATGT34A/16ExOTrYWviG72DhsMTD4Cm710s3ysiVmGuBZ7V4uwMsOu15Bu2TEsw36sy/Auw3aoQPEgocubDvfEP67v/u7YaN5Uwa9eiBD7qC3mF0APzpIK5POQdm+fsww63pR4LRT4Ch5QRbtC1s9bx90eHh4fq/kUzi+uWtv5PQ6GWBPyA6xn2EL4HH5eD4Zij/dz3ypjnKw8So48phdCL46+/q68hYFzgoFLm8dnBVKrHGeGAowdj3BztnCgOYMcCrABpPRS/BLORcpG8YfB1XOUZvUfc4BhqONsEDpUCYUB+XDGFefM4sjAo6UEgXDCakfDHbKiwGvDYpOP1I6UvW0Becdd9xx3mFBcRXAGYP6lKJxg89A1j95xsohQslyhnA0UprqK5env+jjWp+M0djACO61He3kw6stZdrVXn2Cl/PRRka5/mlTHVF78qQ2PlsDAK30BT4OSFHb+p4C14Z6TtzKz/lZn6QMDuPieFYPzTmHrQk0ht+ccLC65lzSH45i+fIyFuCSr10bMRst6ww+uARt6hP8xocu5lbfGUXGpL42miv0EPTPOkEveLRdmfKuS+XtC3AUwjfjVAa/2HyCm9vEO8ZdPX3VbutPvqCeWJ/gE9zXf3iF6rqunuvqSueoXmXgTlMwLvQxxsZZnnFap5xjPivBuWm9RRs0xmt4BA7GsbVK7riXbw3m7JTXPDefp5WuV7NG8JvQHFifrdHmpnL0s2bxhWt1yKRzO0dnDzTSM3QAnicTojt8grmZ53lkrp9FgVNIAfxF/+Mp659Mau3P8p9uwSvgweIr3+b0517kIF7rITQ5ly5CsvDJS7ZJ5at31gO6kDl0AzsSbdi63hJgj6DrLbfccl6HJ6dmuqFlwbwVup7LK1vposCiwOUpgIey09gN9kzkFjsDf3pbBIz9jf2HiEfJyuSbcnJTKs4BDP7MrumeXcKG7H6us64XBc4iBS5oubM4+mM65p1Au1iiHdN+HoduRaorMcgoGCcMKAabVYYiZSDOAU4KSgQrwg+OghKvNsBJgcFDmcGZo1A7cG+dgp0WTHHprw3FUQEeDjpP9ERtMn6rp99txjla9MMmBBwDGWwOwLkNOH/913/94POf//zoP4fgfffdd/Cud71r0AL+6G9cxgkvxa3NHAJwbukgT1+0LTUGMPDBUR+1IcjXBpiUub7bNBkzHAx8xn/zat7R2jhE/XE6Fw7twQk/eHnw+6OlxmEM6K6eAIdyr9yDFeExBnCcndaXNtzDq0w/BfD6rsz4rjToW7E68Bo33PUzmgezTfUfvdTloLbuOOf1xzj0zykd5Y1PP9EJrGu0mPuuHnoJ4OYoDw2aj8rkz0H+aQjmCO2sO/M808n40NQrTb7lxNlp7owdb5obc2I+GMbm9o//+I/Hmnrb29528MADD4zNq4cITkVrh7Mfr6mbEb1t8zTQ9WrHgK5obV3j72QAOpuXeKn1CB698Q8Yr6z/7u/+7qjvwZT5uO2228bDIg+04DgqmBf453V/FOzKXxQ4aRSwtulaTsseAuAzQRlZZO2TQ8l9ZRydXuX8sz/7s/FGB0ccXe3fxnsoywbZBvxEv+Bn13hvtju28GflvodmbCXz4FX2v/qrvxq2CV1AZv3O7/zO0C/Ks2HQBy2F5sd9MlF++lh51/JXWBRYFLgyCpBV9gpsNYcjyDr7uq9+9asHjz/++MGf//mfj9fcHdbwsOI1r3nNsOEcysCrDqbgP3ITb3KYJvdmnmTbKFc28/iV9XJBXW8K7ObmdGxmrjdhbiC+dbLzBhJ/NX11FMjQJcyTJaUwZaiBE5XNxrZ6nAIUEAUChkHoPjw2uspqAwy8ysVZkcjPAFeWUbh1NICrrfDob3AMVXUpqjm0KZcX7trUZ/XrJ5iu536Cky/OitBmAU5R3wS4C427PsJjrDYxlDXlyyEGDxh0k8IBVn7OPP0RwsExBtb4tA9WWc5RsOrILw13uPRPX+ozo0B7cMITHFzq1hepOvouRIP6Da+YQSFfO/LgNFdoqQ2Gi3LROpIq04fg6oe0+Q2ustGRK/gJXgqHEP3C6d48oae8+i0fHUTX+ggGruYOvsrlKVdfUAescqk2jFm5duQbu6C8dHvdff0HVx/hOC1hHt92TOjqMxqdbGqtoLl1ZdOP3niM882pZGuH0fzNb35z0BrtczzjJ+2p07rdtnkW763H1i+aow+ZwqnJoYzeaNhctQ6dtOWE9mkB8B5aHB4ejmhuktfJQ7QlV+KRs0jrNeazQwH8Ej+RV639KKDc5ps8p2cK6jz66KPj1CG5hq+8OeHNGw8TOOPwpEDnknH4L51TCn96JNxnNc2eQRs04yj2IJqeOLc7lc7O+fSnPz2cJBzLPcwmG6NntIum0mSisvk6mOqsdFFgUeBoCuAXNhk52X6GTPSwmkPTp7CUc4bawzjhiS/xtZhNrS4+ZHMIYEQhfmW/kAHkbPw9ANbPosCiwMFydq5FcCIokKAnzAUKYhsI+xw9BD4lQGEIbUQpGrhEuBjdnAVgRQqEYgHvGtwc5Atzfxjl6lIwymcDH6x+6U8bgHDXXg6KcKsjZMgaExyCVH/1XT2bg7ltOPSjTUP9B6NMKqR45cEJrjZc668UDdQxRu36Nqd+OSHLYUCJwyEvWqsnb25PHhz6zdmg7zOdtZNi1942jk4//aOfcMMDX04L+SI8jVMVsNoLv35wNmnfBkvb0bi09uFHCziMAR7j9ISV00OQLwrVAz/3Q766UmXSZxOqN6fGbyzGrh/1OV7QnjEG59q8geXsmfsUjaSNqX6Ci8basB60IdpEwV+/qjOncxncYviU6ddpCI2zMW7HZP3luATjpLQ1ZU6sRw4A36/1ipM17nu15JTvsnGAohkc999//5g/a1m+E8WtyW2bZ/EeT6Cv9Yle8S7aOhHlsxitf3DmzTzYeHz0ox8dJMM7HJxOSPnTD9fwyLf+nW5T19rVXqE1UFr+ShcFTjoFrPd0InmFH2bZrZzcwg/4qTLpZz7zmfEQgTzDS4e7hwge5ngbg+yCi3xjK8HRQ0x1xfgJ/61wcF6n08d0AJq+9a1vHXT0UJpD5W//9m8Pbtp9ioe8o2ME80L2zSHaynNtHsyl6L7y0rnuul4UWBR4JgXwCrvYfiH7wP6QjWcvRfb5LwTf2cVv7vElJygeFeTDgQ/JRbLX/SwPlckHK2hD+QqLAosCT1FgOTvXSjgRFKA0GLg5YQh2At5GtjIDcT0rAXUoAHBCCkceXN2Pwt2PfBtjePZFZaI2itVNudgEwyMK8vW1TbI897PBXrvVAaN/YER9EZS7VwZvfYRvG8ErD4f7gr4IlbkPl3z0jbYMacrVxsPYmwOnBpRFL/kFfdFXKbzS+k2Jg5UvKBO0KdSP6Nn9KNz9lF+fzaE8ES549Mm1PtRONFOvPqgTfv0LD1h4itqGL5q4Bxv9Gqt8IZxP3T31C0aAU7m6QuOvnyNz9zPfd106w8iDq7FHW3naqo+l6s59mfPDL4WvWD5YQRtwoEF0BRPcALrET3DV6f4SVU5EkXXXGmkedJxMiE+keKfX1b3ehL+aB3Pm3sYVrBNQYH02QVDXxhbtrWOGLThB2+EZGWf4p7WFTtYxWdUDJxsKdO51MTREX/df+9rXxh+ncMC89rWvHRsPJy7MR84CdeHUhrQ5T64ie+2f4SlYQz+FFLD2yRt8hW/IG2sdD8hXTi7Jw3Ocbh4gkGH+RBG/+Ifi22+/fTxEcMqJMwA+QX04yc/5fpZrtTkAzvAPWiaH0Jz84TT2R47ox4nyuc99bnxu4BOf+MSgu09wkG30CDqqIxXMWWG+lqcdYZs/MtfPosCiwEUUIMdEco18w2PsQKk9C7vvDW94w/hcjj9qIycffvjhYWewT9gbeBMfi/iPzS3CK4/8rVzj5K3yePWiDq2bRYEzTIEL3okzTIQ19JNBAUKd4kiJMKydEJCnjAIRZ2PMdZtcCgAcZZPCoUxSIMoZ7OAF93DDUT0GojYZlJx/ysGBqb7TPvoGj3oUF7hOXWlPqJ/gjEmqXgF8Y5OmxIyxzUTt1jY8xiCt3/owG7TwG38hWoALn7bawFPQNvm+I6i80xaNUTnYObhvLPCrp9/aqO/y9VtftddTy+iZA0hq/IX6jj5gu2/cUvjmMWhfu+F0Ck6oD+FHpwLcQikc5jaDRV3wYnMIpjmrX+GLHsYbDHj3gmtxvt7mjcIjfsCib2Op3+Er1Z4xRHPzYn7VLTQnaBmN4W8OtYGetaHMtTj3OXzbNJg53cKcxHtr2FpghFpraIwmZAYHJfpZF8Zt3TBonRqU5/t35AvHAOPYSUJ0dsIJvG9zSpW1TuF2usp8mSvt5IA4ifR7LvqMhuiEdzlc8D4HshOevh/o3ubf9de//vXhkMGr6Oo7qeSe+Yk/4EJvc4EHkjV4Ckx8r3yFRYHTRgHrHX9Y3zNPkHtknPWPp9yLHG6+JemzEE5U4zXfqHvjG984eIcsS2ehlfr4SqoN/CYK7mfYkXmGf8yDiCb0ArmE5oeHhwc37U5zor3PpdBLTqt7o4Dso0voFTTOEbMlo7JoH/27X7JtS611vyhwgQL4hD3GJiDf7FXYdqIyvMW+8HYOm1Bke3zkIx8ZvOuTE+qRo9kU2ZLwzvJXeTIUbvy/+PPCXKyrRQEUuLC7XfRYFDgBFCDE50hpiOUZwlbQz2WMQQqBcVh+Rl2bVuUznvDJd117wVQevlJtBCvPPRwpLWX7cIzM3U945rQ+wDWH8uXN8K4LYMTCDBc9lJVf36VegfIkkuOWY6xXomxKKNrGEm5pbdW38M4wrsuHA23cF+ZreJQLrqOv6+bVtVC90uqCE+b+BiO/+q7nULs2DWJ14NEPBgYjpHs0YcAUGCc2F/UVHCMFnnB1Pafqgy2va/nVq835PvjWCZjCdozu9V0Ih7wtnPI533V0gT/42p7xba/dF2qz+5OezuM3FvfWXQaqOXGPduiGh6KBfA5LeYxhKQNZHWsqGqsbjtaRvObjpNPwevYfTaxvtENv9BJdmxMnKvAmRwCHKJof7pwFTpxxdOa0jub1LVwzzbXRHAW30kWB00QBssraT2bFX3isMvxFbuEtTk6vanq44NucXuH0vWv6UV0RHwrkHNzxVvxUGh1ru/uzmkYH9EkOySPDzAH55ZuoHvKYA3aKbxJ7YO2hGJ3CEQN2X5jx7ytfeYsCiwKXpkDyjGzLDsGveA8P9vABf+JbZb4Zji/xtL0WWYkX8WnyElxBWTI5nq1spYsCiwK7fdgiwvGjwE6IXZBix697N6xHhLwNfgbxtiORTZrhTTkk/NW1qYXnqKfZW5zX+17b+iZQdvXtcu0Yk/6r2/hTbperq151tQ+XduGhRKWXCuo88cQT4xVPdSlo32jk/HSdIp5x6GcbmJS98T6b0Njh86Q0x6J/PNe+PA5I+I2ltLb0BYwIh/5wJKFBfaoNGzTjRS+pqD4HlGuvuVpD+uAUi02EezDKBX0QM0zg0jZ41+pqT0Q749CX1kLX+ilEP9eVBasdGxdPgGuTM9q4OGk6feyaITX3Tfvu0Y6TxxjAaA8OZXPb2jcOY0BH9dQR8ZOxzKG+yguXPNenNaBpoTlyb934zq01AeZDH/rQ+CfOW2+99eDtb3/7oMmPfvSjQV8OAuvT6ZvWtzXmFVBrjMNAmW+zmXdG8WmmafR8Nqm1iketb3yGH6xha1bqNO1nP/vZgz/90z89eMUrXjG+meXU2Zve9KbzctI6x//4Fj484UTuPprDG1+BW2FR4LRSgCyiB8gmuo3uwBete98Y9uc4/nWYTCMP3/ve9w5HZ3IQb9K58Cgnz+iSbVAeDL4rbuHO6j0Z5RuA9AUZ596coBNbjfzj5DQfTng6Yfurv/qrw5Fy1113DYcL2u2TadHUfJNt5indVhrMShcFFgWeogBbgT2Ap8i7AjnWA+zKlHsY1An4D37wg+Nhq39nf9WrXjU++cEmF+DMXp/tbryZjcIWn9us7ZU+PxTYycXlW3t+SH3FrVzgwCuusgAXBW4MBRhb280kmULICxljKZnkDeM7I06eewpHqq6YgU5BVG87ytqRX705T70iGNdzuev6GI65rXAqEyorfSr3qXHCo8/1uzSY2g5n7ZaGMzzdV39Olc0bEIqUQc2hpt19deUpqz39MHdz2Nbdhwe8/PClwM1nY85gmPNq11ow1xwbDAybAGU5HpWBgV/KqVHKcACr3/KMIXj3rsMHThTAKVevfLCVNx6wxtAcyRcq3wdfeSlYuBk/AnzNC1pxcub4tBHqmoNMXRtU7ehrfUHHHJf1aSB/Gr9rdcBEe2253obGMqdgjHkbtm1ty0/CvTE0n9LGje7o795aFJS7thbNk3J0NA9omVMdnc1PDvfWJTgxfODij5NAq+e6j80DWlrnaB/PoqHNxfe+971BZ6c4OZGdhHJ6XQAfD6Nzaxw+ZfvCnK99Yc7bV2flLQqcNApY23SAiDfwF/7AV3jMpzh8FsIDHnLp8PBwyDgbdnDq05Hqpq/wyVHySxlYIb6WnnXeQn90ENDRdXoCLUU0IrNce4jm+8P0vwdw5oqTNHsgHTLTeyDf/UTr0vJXuiiwKPBMCuATEY+y0fAfPsyWwKvkpaCM/ccGIRc99FEXj/qWuNPweLVDGuDhAQNPsniWB8/s0cpZFDi7FFjOzrM79ydq5CkGhhyDjGFH4EsFQj5D2wZVpAhy9oBxDx5sTiqKRUh5dKJtZE4/2i+qMysY13BTPmKbYdfBQVU9ecoE16XK6488fQ1HMFJKD5w2Z+UJVl6wcLdZD7dU/txf8OEZlTc/YDkDvG7hWgSPZtJtaEzzGNFcv5W5Vtb45n7DvS/UP23CITb30q63dRkZ2pUy6juJ6ZURziSvi3CCwqtfYKwjJ744oVyjGSNDH/ozBe1ZKwwUG73oC0c01hf3jdm1oG5jhrP8Ufj0T2N023VpeWilLac0OG5a952UqR/awwedAnTShp2HZwAAQABJREFUwzjkG5cTbyKHtjbku943v8qEnKTg9b/5cV+Yr/fNq/Jia6q6Jz1FE/RHL2PjQCO3rEUGrLmyJp14cuIG/X3LDizamk9rE9zNN988cHnNWv1O7sBnXr0mKt+8zg8lTjoNr7X/aGIe0BOd3OMNDwbQ3h8RffzjHx9y7YEHHhjfTiXjvDYmmD+w5gQvwGOdu0+2bfso35rWrjT4Ldy6XxQ4qRRofVvj5BMZRw/KZ1eRb04mcXTSpzbwr3vd68aJTrILj4BTF1+pL090vy/ER7UJdoWnTnmRa+hDl7NZ6APOSzqFzBLILPNDx7xx961UzmjfCKRDvOZuDuBQrwfZ4NUruA7PtiyYlS4KLAo8RQEyCk+xOew18BU5KQ9fyrcfsY/Af3jPtzrB+V67Pcp3vvOdYYOwSzyI9SYQGQmWLEwOsmfYK4I8/LnCosCiwAUK7LcsLpSvq0WBY0MBhhZFQZhnhLWpTLjLV04huJ7hylcnR5A8YcZ5qQFnbIc7/N2rW19SPuELdtsWnPWpOmDlwRW8PNdiIZzg1HU/53WPboK69S+84ZrT+iQPPCUtzkF+bc35ruWHH5wIp/xtvXCUKhfA7wvwijZSjAjwOY8Y/gx+TnGOSs4K5SKDQJ70f//3f0fKgaQdY7NmOEVsABgXDAr40JUTSZs2CzYVjBV5OTzhhwesvrie+z/To/5L5W/Hbcz1ObxzWpl62uIw40xzLTZ2fTfe2rAG9AlNbIi0jw7qZoihgXxjZ4CJ6FG+MbtHr2Dca0e/tHXU+Oa5bDzRTJ3W6Ax30q6NyxpAj2jfRhLNjBO9rCGvoltH1jG6za9Gozf6Wt8MXs4BeKxLJ3M86ddO6x9ec6/N5uqk0e5697d1jx7mBQ2jp3XvVCca2kTcc889wymDF9CdDBHgUF9Ef3QW1GvtupcPFozgeoVFgdNIAeuenBGSZ9a9jTue4kh79NFHBy94qPaiF73o4GUve9nQnerQS/iRvJ8jnoGbHJMGow0RLBj57ld4Ss6gCXmEbmiLNuYjRyf7QDnbht7w+SG6hl6Rb77QVjm9JLgmB+WvsCiwKPDsKIAX8acUr+FPPOVemk1B3rEx2OG+Z3zfffcd+AwIHvXQyCl5fOxBrEML6olkoYD34YdXXGFRYFHgYgosZ+fF9Fh3x5QCFAbjjYAXCHSCntGdgE8BKE8JBOeeQqFgUjbBgIdfULYvKBczxCkmTgsBnuq7LmpPPlhpuIOvDjix/NqvvjFU33V4gpOGg8ILVr62BbgL87W8+jG3n+Esr3y4tHM5pQqfWDul237Xbmn9k9bOnBfe8pyI++EPfzjmxEbLiRKnHM+dOzf+bIRzg+OP4c6JwZDnnDRvovFwHHHgMTJEm4B5HWVERAcbgOpaj8ZkTgQw9btrfVYuNhfzOOaxR6fG131z636OtWk+xO6Dl8e44tztKTKacHYynIxNfqdZo5d8MPBoDz1ycr70pS8dJwhtYtEOTUV1wKMH+pQ25sZUCi94fVQXfdSb6RHsSUqNh0xCSxHt0EI0ZuOzbhi0nuKjszrmwdoVgvnJn/zJMTd/8Rd/Mdawp/0vf/nLx9N9tFeX846zDk7tmcvm6qTT8lrn3dpDcwEfoDGafeUrXxnfPyUT7r777nGyiUPGOiYrwJEtnNPmydyhZfSE0xzDiebWcbJAm+CSCdW51rGs+osCx4UC6Q2ybXaI0cFOC3qQ5mS6hzk5OulWfAQGT+At8l5wH5/AjbekIjjt4Cs8BS4eq85xocuN6Ed0Idc8uDUfHCLkGHqRT+d29pB8J2zJOPoG7ejy9D8ZRm+gPVlGtiXT9o0r2qfT9sGsvEWBs04BfIKP8OlWbpJ/HJcFvGq/oo5/aY9XnfDszxM9qMCjbD5ycebDeDE5Gd6VLgosCqx/Y19r4ARRgBAXC4w2Av5yQj6nygxL+RwVwAnhdZ1ScS24L6+0fPXqW3D7YOZ25rZGA0//yNf/6s/jB6J8i6f8Lb2eRnlRsq2vnfK067pUxfm6PoWwfnRfeWn5l0prD/1yJDC8GQqVqW/+/KFLr/o6iWWDxWEk3zUnn8jBKUUP9Wy6bKJsCDg3vf7L8eG1LycfMkLqtzEzMPRJCA9c2zG7b+7Vy1Ei3c7dQHYFP3AWgXctFeAW94XoGH2kTrXpC7qiFxibHlG5sXIcS9EdrM0quqCZDasyAc3cty7AtJG1wQKfw2/f+BtD6b4xnKS8eW6iydx/a8q6YaxyZvpcgnVufTJoBTgYwdatIB+d5XWq0wljdc1d8wKHOT0ttByDv4af+BddOIE5+K19skG0uX/hC184nADkQA4Ca1tEV3N11Lo1v/hDCk57aC+t7Wvo/qq6KHBsKZCMSY9I6Qzfl8NjdAC9anNOVrnHI+RV/KFOeKRF/CSClZaPGNU9toR5njuGHsknMqs3TdBaoA/IPw4XkYxDU3KLrUPfmzNOFnnqmTd4wV1JMD/gV1gUWBS4QIHkFv5knyfP8FW8xTZ2raxyeewRDzD600p8ikfZfHiNPGW/FJKlUuW1vfgyCq30rFNgaahjuAJ2gurCMbxj2L8b1SXGmJhzZxbkrlMWKRN5M6y6TkIp99Rsn4OIwQhPKeMPXE/nTA08UnCu4dNWsDbJ7pvGrnNEuFdHG9I22drJcEXjcKunLfgpQnjD3Vyol6KDv6g8WDhEZfpYUC5fqg3l5cnXj8bPcHavfooaHnlgBfWFeSzywF8uwMPpRtGf251IcO1VDkrf6xxOXHHQKWese60XbsrfKSyGuhMLTpXoo4jODAVj0id5nE0Cmus3GmvbfIDpVZH6K1/95rC5kF+dxgtuX9BPsNqBR1Qnp5by4r765e3Dr17521S92q6/UnBiY2/+wCuXb745M21gzYV/BHfPWWQu8JPYa//4yjX6mQ9zVF5zZS0V6qt7fTzpofFEW/Pb3KApGvcE3/UXv/jFg0ceeWQYsV/+8pcH/1mfZIJonUnR7qd+6qcO7rjjjvG9VevXOtJOckQ72kPffbLtpNP22fQfrZ988slBY69rkiNoSD74Fqp/YDcvZFM8iY7mQEB/8yTKT4Y1v823MrEwX5e30kWB00KBZBnZ49u3TzzxxMH3v//9oaM9mPnFX/zFIf9de5BYwEcCvsI7dAocAp6hx8m7LX/Fg+ndUWH9DF2Cftmo5kVEV7KPPsjWQTtl5JwUjdlSf/RHfzT0D8e06JMDHCmddgcHz76gTFjybh91Vt5ZpQC+YBfbp7DvyUA8Ih9feviKZ0Uyj72Bx2Z+YnuTe2zuD3zgA+NhLRy+sevk55133jnqsveqh96u22O0bzur83Cjxr2bpwvG4I3qxGr3IgocfbztIrB1syhw4ymQ/JDO1/Vszp/zXFdWWvlRKbgUiOs5UEqU0Fw+w3RdOtedr5XDJZ3jDON6W6Zdxuo23334tjjmvipTX1BHmbT7UrjAzThrsz6Ed1SefsI3ZV1Er5QxOuascc1IFxkJXt9gGHCuSZUzDhgGlDgjgiNN/xgMHJ0Me69xdVKLc4LRwPBQX78Y/U4qFvQFXv2wEdjX9/K0NdMLDmWVdx/uo9LqSOGD90rD3NZcJ1zlzXDwH9WGOUabuR+u0QVN0BZ9zAunZ7QyRwXzYV60iYbobSMlz7U5ENHevMlv4yqd+wqn9uc1qnwLU9tgxUvBzLDhLy+8UniE8oKRVjbndR38Nq18TtHPht58cApbr+gsVYYe6GPtSuWLYJ2WVS6Umid9UxfO+jC3edKujSd6b9dtZcYpdt96AS8mOzrVaR2is41HDvloCEd8IK98dJvpCa525/zoq3yFRYHjTIH4ZR9f7VvTxtK6ntc/uRNv9TAsvRx/pTuSUbWpnXDCv+Wp7uPpYKQrPJMC6EpmofNMs/LnGmhLV9Av5GFvZ9A16jpFBg+7CwxYZc3JPG8z3n3X8KknlM5wM6595TPsul4UOEkUiF/mdT3ndW1MXQeLb7IF2StsP7xCzuJPb/vYH/k0BR5Nrl4pfeASa7frK62/4BYFThoFLvbinLTen9L+7gTP2jHtmVtkSSinFGawyLYPDrx8RpzAMNyHg5KpvmtKBFypupWXyhPABftUzsW/8BXmujPuuU/BlIaf08g4MljhPGo8tSeFp9RJRwGO4tyPUbj72bbNKZZjTKqOIJ2vG0fpAJp+OMK8gu7Vt3O7E5wcEb1+7pqjoo2S1+BsnhjlnJgcnDZVjACpNowhh5t8TqHGg+71ub7OzgxjBCNGIwbEvr43h8rE4PfBTsM9fxk9SxXoe+FK8QS/L61Pc9nl8O6rI894rTWbIjRkaHFmWoPmSJl8jlD5XhX2zTbzK3VvPs2FeXFi5PDwcMS+++k0CXrPAS5rFO42XOZ3plXw9U2ZdqT7xgtX43ENBnzRfVHeHFobxhutql+7M/y+a/WK8KmPTmiEnlLjRkvBGhU55o3dSVn0s/Gc16+xwAufoO9dj4wT+NMaMxa8XEA3ZcaLDsrNP/q1XjzwQC/f5iRT/GmK0+Hy1HvnO985vpdKnpAx5rT24AJHxhSaMzQ96XRtTCs9mxSwlpOX1n7rWT7eEsmW8lGp9Y9H8Ar+AONk/xe+8IVx8giPeYh1++23jweOTqG7x59w9rBSXnwEb7Kr2dgnS2tfehpkW2O9HmlzhqZoF63QVUQvcrJQuftk5w9+8IMxl2wxOtursh5kPvjgg+MzH3QOGwweurj1Yw24h3NeL7VlrZDL2hH1b9Zb+p4+hXsfjnCtdFHgpFEA/1nf+9Y9WZocjD+2658d2Ovr2Tfvf//7x54JTic8f+EXfuHgJS95yUU8jk7JBXBbvMq1L2o7eQ+2oL7+qzvzbOUrvTQFdnRbvrVLk+h5L10nO593kq8Gny0FyI9LyZDKSrftyN86VbYwhP/lAjxHtXGpuleCe65/VDspx9LqUFAC41Ooj6Uj8+mfYEprKxzBlj/fa5ciBFu5vJSlPGUiJW2jQ7E6BUL5i55KckRw8PTdQnlOE9SHnJmeXvq+YSnH5+Xmsf5Kt3Say1zrr77X/235fA/XHNS9mhC9rqbO1cJebZ/g31dHnvEydpxEFDxh3hfMMWeTOeQosmkyzxydorKiNWfDxNEnekqtjTbRUvPbvJkX160Law+O1oBrsTWZkVY/o3lwUri2+ftoAAf4Qtdz/foVvmC36VzeWuvU5gxrowlnaxI9juqbeuFyrX+XggVzEoJxiNaQdWNM1oi86N11sPLJGevNGvBvpud2D1LQk8OU/ODgtElwDac6IhzurbPoV5778k4C7VYfFwWOokC8ohyPbNe78vK3OOIH/ERP+yyEV9fpdbyJp/zpGh7L0alOOh+fzbzkWr3LhbnO5WDPWnk6snFHK/npx8qklZfHychZwqbyZ4/mnvPTnPo0gU8H+dxHr8Krn7yUgt/iDLfU/DfvrudQmVSEZ4VFgdNCgey37XjwJpvuSgLeAUu2spl9ouu73/3u4NFvf/vbB9/4xjfG/urWW2+96KHw5XDHi6X74C9Vtg9+5S0KHGcKLO1yDGdnJ2QutgqOYR9Xl24cBRiYlGCGrus51rOM0FL5La05D54MTc5JMJVL53JlRW1S6Mpnh4t2bHDgsiESGc2+nccR4VUMilsdmx1OTUY3JxlnmpMETrNxUICxeXLvJApYdbSpzrZdba/w/FPABticihyfnkrbEJtvDigOq2BspNznCFfHmrKeOP/8CY9/HvfnMdaCdWAdWvdwdYrUejH/rd021VK4wMNrvdj4WS+ua6s1jlrWkzDnjYynf9QR4C2VV9vyXM/9GYBX+YN26BRvwdcr7637o1DqT32a+3UU/HHOb+7MtRNH6NDDD3Rw31yYO+NWp3VnDfzN3/zNcL77vIVTxKJNw+Hh4VhXxq+OgF7wia61IW1dDKD1syhwwimAT6xxKVkqkI3JRfnJT2XWv4jflLn+j//4j/GtYfU91FIm30ME35Ejr51CF8DAV1tk9kmXTWNgp+THnJKZPZAkazlQ6O5//dd/HXP71re+9eAd73jHmH9zTY+ab+uI/LR29jlWk6faSJaqV1BubQjqr3URZVa6KHDhfxDYg76Rnyx1ot53kj3ItV/Ck7/xG78xTl+jG35jU+MtjlL8uQ3ZV3hujsHBIQozz1a+0ktTYEfT5Vu7NIme99JncsHz3oXV4KLAosDVUIByE+eQ4SilpCgo8jZFlexV5prBKp3z4aME4RDUrX7pKNj9qJdDwDXFKsIPBwXNoeWUgNMfTu8xnjsRwoHD+UBZO1XAqeXD+BxcXpnqJEHtzSknGcWfMp7L1vWNoYD1yLDilN638bE2GGxOcnoibU1wejvdyxluPm24vNJuw2W9cXLPwboCZ3MGX69EzsacNcHQAwvGWq689brlnbmNo67jk+q615YYz6krP5ijcF0qX30x3pOWJz0q1BfppeCOqn/c8qOhsZAZ5i6nzP9n785+7a6uO4CfP6DPbRKGXMcQwEw2YGNmMw+FAC1Jm0pVSx9C+1hV6kul9KEPlaqqD63UNqrUBlUdEjWhgSaMgTAYwmSMExvMaAaRAE3bP6H3s+Frb/8413i4957hriXts3+/Pf/W3mvYaw8nixwxklsEgSfx+t04y5+ZOQbmT7LwFmPLc/BjLHEpNzjQn8aOdMotKAzMCwaM6dAWPopf5F0cl/Hvm8UlPDhAX88880xbfMCDXS1jkSo7ptEqukFDccoA88Kfgot58PUJnkonw0stuJHF9913X+OjZ555ZjuBYyxIF36Jd0b2jetXYyD8U3wcnGVMKVN4QWGgMHAwBvBRDp3lVNzWrVvbZgB8VZg/L7Lg9OUvf3n/AhPaiq6MVsfRZnj+wTUe/BaefXBovRUGZhMDZeyczX6rVhcGGgYom5mcRGkk4LgolENUEYQEJEFqtxQlN2kpu8ohYKVTNl+acQKSwJWWAYvg9c6QxSDJaYedHtz111/fymHYZMxk6FSfOGXz1cNopg1RpKNUU5yl4zKhGn5bvU8GA/pZf2VyM2yFcDvsjDf979gNY3icPjaJNn4YQZ9++uk22RKesWK3pyN3jOTKMvFSLoOWsWbinTFk/MRJk/Gd8SxOmLGUuGGbD/UuT0D5Mbwp71hAWXCpfZ6Vx+eWAmlDK/muvn1L5ZuFcLyAgdL34xXpL/2t3323NACfciXGD37wg9GuXbuaEUZexzCNNzyjx4tJPUOqcdPvODPmLNYYX8M8s4CzamNh4HAwELmK3/SAh3DCQ1viLViiOzv/9uzZ04ybmzdvblfMuGbGoqX0oTF+5DT6TTia9Zz3vu56Xn0M0LkiN/QT+cy//fbb28549x3/0R/90ejmm29ud7KSsfrZ+JBOXmNJf6af+T2Ikw7PBeHj0uW5T1/PhYHCwEcYQGcWavFNQF/Bd9EgndlOz7vuuqvxZTvrzzjjjI8yLv7KQy8Kv42/P8HHD9KFhkPHoeVh2novDMwiBsrYOYu9Vm0uDAwwQJEMEFYUSOB5CNKatBCCDAg9EHDi5UuZ8ft0noUTkMqyk+rdd99thioTISuPFFtGKUfaCGyTIbv17NzMn61QtEHayU/dyucI4gh6aX1bCWKYmB7QZ4fqE3ExHuk/CpsxYvxwjIXGhp2eDFB2gPrTC0Ynxk67h+Rh6JTPJBpESZM/xjDl92M2Y8t4lz5jSnjo5EgxmTIzRo80/1Lpg0flwhlIXUvlybfGXyrdLIbDAR7Bx0PgIvzAOAhf8O36124198a6f85uM2PCbmMTePE9yGvchAclTlnKPtqxkXLKLwxMOwYOxTPQWs97suMPf84CE5q0gGWxgBGsh+RHu5z31NeX2+ep59XFgH6IvMwz2apfXSfDd/0Qne6iiy5qOl14rpbKi6/q175/x32FNH3eLCTVWBiHrQorDHyEATRGjwntoEnzKjoxnRr9OB1FjznppJMOQhuaOxye29NmeHXR5UGorJcZx8AnLSEz/kHz0PxFxnPAcjUPH1TfsKwYYBzKxH2cYMrkYqlKDS876gCFkxBlsDTBJzAJV+H8gPTiGTUJVsYEF9j36QhHeaw4MkwR0AxVBLOJkPvyCGfh6iG0h6Btvo3zndrGKVtd8qvDNxZMDwaMjbAtfRVFKc9512L9KW3v5PdnVSbUnMm0SbVxyQBq/DGAMn4GKHvGEUMW47nVb0cpjSv1jRtjqVMZnjPO1GN8yWNsaU/SKCt0Jk3/LSlPOZ7FH8vYVE5wqR5OmWBYrvpAaCRt8f3DtC3hDP3oD+PA9+MlfN8EPwyUfGGAgdPVB3aU23Xmj4nsdrjjjjva8XU8yEJLAH6DZz6e0u9Iw3eUCe94VepJ/vILA7OKATwi/IIPwtPQHNpCC9EBxNttjzc/9thjzegljYUpNLVp06bR8ccf3ybe8vUQfiQsNISuPEeO9+nreXIYwGvtEiNf6WtkCGc37wMPPNB2y1to1G+//du/3e5mNUb0pX7u+amw6GgZW75MGnI88Rljsy6rJtdrVfM8YwBdAXwa7fBDP3QitOpqMIu7Dz74YEtz2WWXja688srGn9ExCH0qA61xaBv9BcThAYkPbSa+/CPDwCKPK9vakaFsxVPXzs4VR3FVUBhYXgwQTCbkBBOeysUgkpoiKOMnnC89YQki5ExglJlyCDvClWFAHAOnicpbb73VjAr8HTt2NKHKQMTI5MioSZDVRUfU4xgMxoHy+/ZpVwRzBHzixUUQey6YTgzoL04fxWlpwjwnPH0rTN8aOyZTFLEeHKNjvNq5c2fzTcoYPilzJtiM6CbklD9jlPHTOGbkUiYwnseNG21AA8a4Z/UD4y/jU76MvWE5+RZ+/42tkKP4UY86UlZf/rA4aQA/bphmVt/Dl+DCzjF4CE8Q5x0P893+MMXdwI6uM3jqf7yHIWZhYaGhQLrkT98aIzFmKi+gD2L07sMTX35hYFYxgA7IdM4CZMZ35LzJNJ4aHoyfWkhAX7t37x4999xz7SqRSy65pKWz+8/OaTQDlA+UG9cCPv5Be8KTro+r58lgQF+Qf/mTIn0a/VCc+45de2QMuK7ovPPOa4Zu/W73vDT6P/2qj4VFl+y/qh8TngsKA4WBpTEQfkkv9UzPRTee0R9aRLv4sit80Ojzzz8/cs8u/Tg0hh7xeHTK0atCs6l9+J7w8gsD84CBMnbOQy/WN6wpDPQCa5xCSbARhhwDZiDCrFc4hRGkwuTLM8FoZ52dnIxLDE522xGmJj8MCtu2bWsTJm2g9DIuUZIZmEykTJiGQjZtUb6dJNoYgawtEcLx5QfSpP3COO8F04EBfZG+0qL0KT/PwvW3vmewissYYGACykkez5lMG08M6nYZ5ai78c0xhhqXdvXZaWQcukeOEd74ZDBL2WmnNiszO5m8S5s2a5c2gr49wseNvaRpGY7yRxnB5ZGWd6Tpj7KJq5INDrJTTP/qM376KHxPX+BN+BJeZQxR9O301efypR9NCvAcPE7+YR9KxwH8p6AwMG8YCB2hJfSFDoSFTox/zwCfJvPt7nv11Vfbzp+c0Fj4eBEBn00Z0ocHLUU/aA8Maa8F1s+qY0BfM2jrdwtEriOIoRuvNE5cO7Rly5Y2LoTht/xTTz11dPHFF7e8+pvT/xlDGQv5KO/h257jEl9+YaAwcAAD6AOfRKN4K8BvvdNLhaEndHfWWWc1+qUDPfnkk033sQkgC//h0cocB8JDm+KXSjcub4UVBmYBA2XsnIVeqjYWBjoMEERRLvlDoGwShASiowlAHoIzCqnnvEdgRohScO2cs1JoB6edU46HCnN8XTpK7uWXX94UY2UyLHAmM4xTJlKcOgLyAW3RPm2LASNtkT/GiF749mX4Pg705SdN+auPgaX6QZ+n37UqY5PhSd/zjQV9TjFTTvIkn8kWsGNYfoZOu1CeffbZZvg0RmPsYpj3hzQmbSbq6rB7j/ErY5/PmdSJM87U3yt4aYcwdaYtnpOu/+aEtYYe409f7uEWtZz1H26dK5lO/+gT+Daxhn/8QhiFX7xwYa7TMAakddTSP5bmkv6MJWPMpN64yQ5ieO5xLT+eKWwc71nJ762yCwOrgQH0gOdy/QKQsc+Fz/Ht8rSjj/x3igNt4NELi4ZOC0kB4fis/Oiy50UpL2ExpOU9ZZQ/GQzoM/0M8EU6mz7rw8nddevWNXmK39pBbyfZFVdc0XbP45eM4OGZ8htf+thz+pqfNOpLuOeCwkBh4JMYCA2hR4Bn47doNvwYTblP1x33/qjomWeeaQv+rnVCu+Zj0ihLOdyQ9tBwwnqa/WSLKqQwMJsYGG/mn81vmZtWLzKbj6xCc/NF9SHLiQHCKgKpn6ynDkLQ5B5ESEaYJX0En7SORjAS8SmyjEkmOXbQpR475BgZ7OCME5ZyTWI47wwS/H7iox0R0DFw9sZQ7eH6oZ8wPhCnHN+m3QxV6iqYLgzoJ/2jn/VVxpDxYFxQvPRj75b6AnnlST7p0v92cjJ4MWDFAMp3hxHDlvErzrhl/FxYnKQzevLt/tQeY1YZjsB7pkyqC6g7rgV8HJZn41LajM+Er4avXWDYPmGTapO6lwuMDd+mr/UPHBs3xpU4/MqE2wKMnUZ4CQOMI5eM3e4TNOGWPuNOWRyekbC+verLmBSuTmOioDAwLxhAD3gj3pxJcMZ8+DW5iof4Yxr3dKI1O+bt7jN53rBhQ6Ox0Et89IKu+Jy6QoNoV5noSVzBdGBAH5GTwHjQP/obz2X8tFM+8toVIdL+27/9WzvOvn79+tG2bdtGfLvp8WBgPHBAn/eQcGEZd57VUeMCJgoKAwcwEN6KVgD6FIZXC8tcy8YUcza7Om0CcJ+9BYhbbrml8epcy6MM+dHakDYTx1c23gBqjtXQcEQ/i/gtIXdEGFv5xLWzc+VxXDUUBpYVA+OEVCrolUlhmdRnEpJ0iYsiy9DpXk7CkrLLgCDM0XTGTUeWGIjcEUO5JQi1Izyd3z/39XgmPLOT02SLIM5O0KSVhjGCIFd+2pzvjQCO0SLKdfKXPx0YMAb1kYlu+lIfUtQ4/WbcRenSaumNN32ccZSvMQ44ID/FTRpjSBmceowvxs1HH320HWvft29f+0MNu5E4dWgHo5gyAvIzxFPqsttJXD+mvUsXBdBzwobtbREr+JO6VbHada/gZx1UdGjetxoT+t+4yZhi1HaHIF4lXv9afDn99NObcVth+kqfy2u88fVx+rXHYypXr/KSL+HlFwbmAQPGvjGOFkJjvkt4+DNaAWiMgQtPxZtNoDdu3Nh2T7cEH/+EjkJXfICOwv+9q08dBdOFgfSfMaHvnIjgHGuPoUO4K2TWLe7wvPvuu9t4YGDZu3dvSydvIOMg772fsSHMs7pTf5+ungsDax0DS9EGusm8LfREb0Wvjq6br1kExrudvgOh7U/DacqTjv4UGu3DP62Mii8MTCMGyvo8hb2yyORqZ+cU9su0NclkggsQSJnAJNx70jEUcIxCjqVlR9wvfvGLdt8dg48yCEY74Bg6GYUI0hyH8E4B5jM2BdRBOBq6niMclRXBbLeAeIYELoYjRgztVCY/5SgjTj2pI0ZT7bILpWDyGNBn+kf/6XPvcfpcP4rjTHgzTjIW8gV9fwvLe/KPGz/igLI9W+FmUOfn2Ri3e9OYN87sWuHsBLQLkJJoHGqPMozttLcV/vGPbwIm8cC3cvKkHS1iGX988zhIfcP4hI/LM2thvg2ufZNxY9eu41qOrtt1hmfddNNNo5NPPrlNxB3dsvsIn0vf2Nnb86rgQF8qO/2sDs/CjQPPmewnT/mFgVnGAHrCp8OrfYtxz4njHFt399sLL7zQjkSaRJO11157bTN2oqXwv5TT01DwIw0+jJ7QLnrEe9VVMB0Y0N/RCfWVZzxPf+ozzjuH10pvx6/rjCyI48ObN29uu34tIjpBoY/J0oAxErmqvED4rzKjAyau/MLAWscAmgmfjR5iEQL/zKk2NIR+6DzmRej33XffbQv+/qkdz3bSxUKFPx4zF+t1IXmVoUz8OaDunKhRV/HsYObw/EV8lZA7PFStWqra2blqqK6KCgPLi4EIqpQaYdULLmky6ciKvV0aDAXePUeJpYheeOGFzfjjTs6FhYUUvd9nPPKHBf7prxeaFFr1qC+GAgqztgjz3Bsm1ckARTgzRkSpJoylHYIylJVvyyRrmK7eJ4MB/cHpHxBD01KtkTaTHUqV9I7RZcwslc8YM2bk4RsXnPwmTCZaJl3KcbQO2P1nB8r27dvbJO2dd95pk3A7lRhAGTxN0uSxmwkYh8o0LvvxmPGcevsx2TJO4Cc4n0DVK16lb6PoZ3zhGf4shdP/+shuTsZOfES/ZBEnE295wbDPMgYTrizP6tTnfb+v+IdWBYWBVcCAsW2cc5HXeJ1w/BhN2BHEmIVPSmcxyMkOC6DSShPjVZqMVpTRQ+hImHKKnnrsTMezPsoiH77JkZ+M2wze3qUhB/U5g6jTPQyc9957b5OpTgQxjEtnd33u/swXGld4tfiMtcTxhRcUBgoDB2OALoLmQIyd5k2hx+hFSYfHMmrSa91hbzECD6fjotvoQ73xMrwcb5a/B+UWFAbmBQNl7JyXnqzvKAwMMEBYUTIdaXC/IaWUsZICSwEl9BgsGYiy+8kqoCOhMUxmUkPAcgmXRxkgyiphqU7vmfwsNcGh9KozuwCkS1plcJl8pY6UGQNU0rdG1M9EMZC+SZ9QovQhv4eMDWHS6kthccLT/ylDWPLx0/98aRPvPZPxhJvQq8fRHn9aw/fP7VbCjVeK4EsvvdT+4MbuTn+GlHFJmZQm39Qq6n5SRxdUj8uIgeDXOLBrwY6FfYtXE5iEm6CfffbZzbcDXV9Jj1/hKcaJCbsxoQ+NA3Fc+lVTM4bkzXjLWFuq35fxE6uowsDEMJDFIuOd845OLA7RFTybOHN2TKOrnM7AZwOhEzQUmhXGoS90hQbVQaaHvvgFk8VAeCaf3MNX9ZV+Cp/M2BBO/9OfHFl67rnntg9gHGcMpzvKx+AZUFbksHrS73xlgoQlT/mFgbWOAfwTLaE19MNHf2gFHWUBAQ2Zx4XO6Er4tT9qdAqG4dNGglNOOaXl62kwZePnfXhPm2u9H+r75wMDBzSW+fie+orCwJrEAEEV8EyIEYZ2QvmnYjuh/KN6dkTZqUEhtRJoV9TCwkJTXmPMVJYyOAYCkxYCkDJrhTBCMkoqwUxgevfcC860q/cJcbtDh5C2E9yEtnqEEegU8Sjjw3z1PlkMZNKiFfqLi4KWPszY0PfGSMaMPg0kbxQ3eZPPGDTG+ol28vW+8Zr8fJM4BjFjHti9aXLmzrEf/OAH7Y9u7Eyxw/PXfu3XmsET7VAQAV8buNUEuADxPacN8YXNGoz7nuE39OPArgSLNQ899FAzVOs/u81uvfXWxrMYY+DDrgfGGDwq/EK5+hIvUQ6fEdSYMw4541Q+41E5xpexVlAYmGcMoAf8Ea0Y+055OO2xZ8+etgBkl94555zTdvrZyYe+xOPJdIBA6Fk4B8Lfe94uHJ0BNNbLjBZYP6uOAX2HJwLGS/0S+UluAuNE3zOoCDNm5MuJCHz5O9/5zn7+aQx87nOfa2MBP1Ve+CveKz7jg6+sWZZnDUn1UxhYZgzgjxz6wXfRSRYRosugSWkyJ6Mb0Xfwbf/Q/sd//Mcjx9npOP5rwWI+2kR3AC2jf3zaYlZAfHSgos1gpfxZxkAZO2e596rtM4cBih7BQ3DF6NN/hPBAlErvBE4URMKP8x7DT/JJZ/em1TyCz641iqrdnASaI0h8iipByTDAEEQJJTSVE+HGF5a60660J3UnXLo+b8KPxO/r0s5MnoRrS8H0YyDjwPgwnuISbtzmedzX9H2t/5NWvsOBlC+tNgzzUeKyG/Dqq69uu1Nc5I4uKZH7FncPOv7D8M8gb8dndq14V55ytc23hRa1MzQrTV+vcE5YxrH0gfCFlJ1vTnzv9/n68Gl79k1wA0fw5bvhmDIewAPF+aa+r8XDBSXfIo2duAzUytIfC4uLM3iXPurHlzzBsXDlqje8Fk+J0Tz9kPjgVf6CwsA0Y8DYBnx0A4xbYzjjuAUe4sfkVn60wRiF79kJhObQlTvezjrrrLbYE1oKHY8rVr1pw7h4YaG5orGlMLS64fpM/4P0ybAP8Uth+h7Iox/xUve52jHmbkA7gn/0ox81/XNhkT9LxwgjXcZP6lCOcRt5qQ7pCwoDhYGDMYBmwqtDI+gFDfb0JE46PlrlnGaKXuV/GlztxOiJv0vHmQdK67mHvuw+vJ4LA7OIgTJ2zmKvVZtnFgOUu6ykR8kcfgzFEDAUZCITAUYAMRaYnBBs48pwNNfF8Y7r3n///U2w2Z3mbjvOTihCLwomoRnB2Qs8zwnXnnFxwpcbhvUud/lV3spjwDjtx0tf41Lh0iSOn+fkHb4nfOhHSYs/jDf5sjOQwdNKN5qk7D3//POjBx98sO0iNHFDX4ybdoQ6Mi0N2gHKRp+Md/zQYSZw0vb1q0M6YWhqCGgeXcsnvv/W/nmYb1rffQ8HP5wdQb4LHnIPHFzhS74ZhO/53nwznNhp5ioOCzj6jbK+sDiZtstBudIqFwS/PQ49C8fvAn0d4+KSrvzCwDRjAA3hK6EXYxnk/VBtxwdB6MM1Ec8991y7JgItWlTYsGHD/vKV2dNVyk5dfPnynvjelx8cKk2fvp5XFgP6IbIrfWIM9f2IP3N9vGd9ST7mzyvvvPPOpm+SnbfddluLtyCF74bHpwxfpQ6ygd+Xv7JfXKUXBmYLA+gxvDr0E10m777Is3ShZ/norsJ27ty5/8/myAw0R2dCw4ydQ1BWX/Ywvt4LA7OGgTJ2zlqPVXtnGgOECyMKJc+xMULHu3AKHz/guZ+85Jmgy7NdGO6wYwiwo5NRwPFc/1pMWF1wwQXteJKJi4vnHU1jYOiPoaW+pfxJCb1J1bsUHir8yDBwrP23UvnRTugniqEvs9uZAujqh5dffrkZ5fwZF0WRIcAulksuuWT/9Q92Q2sjOrUjNApkyg4tSxOjhDDPwvrvk5dhT5jnWQbtj8PT4CMLNPAb/pV+EMZZwBFn1wGehj/uW9xtpg/kZ2h27QYexkgdvqmu4LP3exwmvA/rn8UXFAZmCQPhE+go4zu+70h8vkmcMLoHekM/aM4fEvmHbVfcWCjdtGlTozUT5b4MtByaS5lD/9Po6NPih+XV+8pjYFyf9GH9c1qTMPzaoqFFJ0dnnSIC3/zmN9v1SDfddFPTaxnkQcZqfPn7MdYS1U9hoDBwEAbQSw+hvz7Ms/A+jp6Eb6MxtGZ+aFHCH9Hi73StQGQDXUt92f2Z+PILA7OMgTJ2znLvVdtnDgOEiJU2gsXRTJMNRhSCiJBiDImwIqR6SLi0HAOLMhgEHnnkkdHu3bvbhEU6Qu74448f3XDDDW2HhntarLKLGwrOvo56LgysVQy4s+ziiy9udOWZgdMuxDfeeKMd74wCaOEALeXqB+GMBFES0aawfhLHwMklPLQcXEubNAmbZd+3+CY8DE+jZNvRDjeUaGEMzYwu0sJdDMYxdubfRPFIeIuhk9ET/oWB8LTgNP4s46/aXhj4NAygL2M9OoPn4dgPD0o4WkNPjE8xdu7atWv0wx/+sNEjmty4cePIHxWiQ/oFfQUdh5Y/rV0Vv7YwkPHhygOL6E4V3XXXXaOrrrpq5JoYhlD83Vg0vjJO8e/w8LWFsfrawsDqYADt0bFcNYGfu9bsu9/9bptz2pEdiJxAp3RZvJ58iNxIuvILA7OKgYOtKbP6FdXuwsCMYIDgMdEw4YhRhE+oMAYQNpTHhPks6eXLZMOuJ2nteGKQsYvTpMRxhIXF450MAQydjAKMno57UjIpliZGBYWBwsAnMUDhYwwADJpohbGTwmiXIdp0RC+7V/zjJYOnndLSoDF5OLSKpqNEJizhdleha2nEqTf550HBzLfnW3wvnhc84EXi4ABe8/0Jw+Ms4uBxcIYnwrd+MaEep4jLq1y8Et7Vlfo/2dsVUhiYTQyER6X1GePxhRv/4T15F8+hC+BOb/zMdTfozGKCRR5Hk+kM8mcXKDotempoq58OA8YT/ozvGjfG5nvvvdd4sFNHdg3jx9FpjSdp5SkoDBQGVhYDOaKO5vK/DeaO+L4/rhUeXo/Ho99eRqxs66r0wsDqYaAkzurhumoqDOw3mBAqJu4m7YAhwPFzhhThdnuaXJhwWGkTzrDCuVfLbrMcPRPGwHnppZe2I2jutCPAAOWScFOGOoSXotlQUz+FgYMwQBl0FQRlz5F2Dk2hITsTGQT+4i/+ohkH/u7v/q7R57nnntuO733lK19pxgKLFGhWGSC+yR4HQtMMepRNPIBzHHAewDfH5XvwIDwMDhh1A8IYkinl/gRKH1DE/SnRww8/3IyhV155ZZtI23ULR5k4pwy++vC1LCbxlRnDTp+2ngsDs4oB49rigHHN4R/hMb4Jb4mf5xaw+COvtJkA+5dexqjc7+1eYvzMQqkFHDut0a1JsOfQXV9fyi5/7WIg+qQ/tHKCyJhZWFx0N2b++Z//uV394voXhnQyz7jNwl7GaI2ptTt+6stXDgMWIDi0iMbMMelQriyhdznOfv311zceTxeLfOg326xc66rkwsDqYaCMnauH66qpMNAUPbvAGFAIoOzkzOSc4kjgUBgJHCCOIGIEsBuDodMzA4njZiYmDKSUTUbPfoKvLGU6wmBixMhq8hIFtbqkMFAY+AgD6A0tmYBF8UN76AXtiDv//PPbnZ4xzFmUsJDwwgsvtJXy7IqS1nNAmWiPs+iALi1SKFe9aFa49/CA5J1F3/dx8MfhVb4NHwK+NTs6hYmHI7uBKOKMy3DIwOJPifKvvnCjHKDcIYiDS3UXFAbmDQMxDvmu0Fi+MXF8bhwN9GGuiaBL4D/+iIj+4CSId3wKLaE/NCfM+1Llpg3lr10MRLe0oL5ly5amw7799tttcdAJJGMPnw9/NpbowcD46sfm2sVifXlhYPkxEH5Ol3K3Lp3Vjv533nmnzSnpuHg9GuTwevqV534+ufwtqxILA6uDgTJ2rg6eq5bCQMMApY6BJMZLk34rbcLzp0HiTPoZQzK5F+bfoh977LFmJKAkrlu3rimVjCr+ZZ2SadcGoRUgqDJpIdCiXCq3oDBQGDiAARMxVz+gE9dC8NGnXSho1kKCHZwURXcfMRZEYfQHYSZvZ5xxxsjdZXZX98ZOtaA95THkoW1lonugLuWqax52JEZp9s2MmuFl+BHFGz/zR1AMmhzcyyPs8ccfb748jC/4nAWiHF+HL7iGMz6QF0/j1CEc3ysoDMwbBvoxn28T1jvhxj+6WAroEq+99lozdG7durXxLX9agSehUT5+FFpOOeo5VLlJV/7awoBxgd+7buQ3fuM39uurxhFZiDeTj9FJI1+NNWFcQWGgMLD8GEBj6M+f1Fqo/853vjN64oknGs1dccUVLc6O/tAgQye9DZ+Pbrb8raoSCwOrh4GyeKwerqumwkDDgEkIwWNHE58gIlwIGpML79Ls3bu3GT0drXX8wLEDk36GFD4jgEumGQXct6WMGFRUpDzpMjFJXdUNhYHCwCcxgO7QDx8dohd0aLIW5ygeZ0HBBA5dWh1n+LRAwfgpv+N63tGfshg2Q4vZyZiVdC0xUUSvn2ag+GSrpzsELjjfBofAe3gg3FCmKdbuerMTiIMvl+r753VKuHT9Io5y8DV4S3nCgPDwvI9C6rcwMD8YWIpHxPhv7EszBLTixAjeZNHFwgLaQWOMnfgaHoVvicenvAek5ZSPngsKAzBA7+QAHo1XW8A3zuwYxtst1DvJ5N34IWfl8UzO8gsKA4WB5cUAns+hMYv1nGdGz5NPPrnR5D333NN29buCQhwgP/D4osvl7Y8qbXIYKGPn5HBfNa9BDBA8FD2QnV92egkPmGBwDCh2XrhTi8HTnVqbNm0anXnmmW0HGsHFUJDJj/vuHHNXvjBx/WRFGGW0ryt1ll8YWOsYMClDPwBtUvRM7oFnxgTKIPoRj74oiJRGhgHGA4a6l19+uf1pmN2euVoCzaJXNGjnZmhW2alDefOqYPY8J3wox9R9s4nwvsU/JMLnGFsWFu98c2cqn+FzHF6Cw+APLgsKA/OMAXwo477/TvSFP4Fx8cLlRWf4EkMUcBqEsdN1OKEj9GeXOR7X6w+MU+pAi1xBYcC4o28yojNy5lSCscTg6U7AHTt2jHbt2tXS/M7v/E5DmnFoPJJ5FsGM2YLCQGFgeTGAPjk0Rv8E6G5hUa+ywOV/H+6+++7RBRdcMLr55pv3Vy6NPHyuoDAw6xgoY+es92C1fyYxQIBkUkJJjNJIcWS0pAz6tzw7xzybdNh5sbAopExOHLeVPxMU+UHKjfKYCZB0whhrSnjN5JCpRq8wBtBFaCO7EFWJdtAlGsskPztYTO7srLZSziiH3uxQlN6OT+8MoeIYFtC649jKEscP7aLN8IQV/tRVKd53heeEH8VgIg4OhcMvQ7E/JcLrGEHxN8etTJilS7/Il36KP084W5WOqUpmFgMZ86EHH4ImOHTUh+cjxeE14i2suqeTXoHG0Jr7vvG10KgyvKdM5YTGUn/KLr8wEAxk3PDxebLRySP3dRo/uW8ePxdHLgrPuEs55RcGCgPLg4HwcDSWhXpheD8atbhs13UW6skCOmrNE5cH/1XK9GCgTPbT0xf7W7LIjA5s89sfWg/zhAHGEMofgWMHhXeCxy7ORx99tPmMIgwp7lS5/PLL26Q/BhOTEYYBhlHPjDNxBJshZILj6Lsda9JSLl1Q3Rty5gmn9S2FgWPFQFivCZtnBgL0Y+cKWkWPURwzSZNOeoDeTO78YdEjjzzS/sH9v//7v9squpV0Bjy7s9E7pwz0S8HMyvuxfsM05Ic3zvcFTzG2UKwZfy3eML7gTffee+/oT//0T9sOg9/8zd9s9wfaNWtSDE8g5cFXyuy/te+7PryeCwPzgoHwJPwGDeQdb8KjhOElPY24H5eeYMcm/eJf//VfR7t37x79wz/8QzslQk+Qj15gkiu/8u3ulMdCK94UHjcvuKzvWB4MDPmuKxDcec2oic8/++yzo6eeeqr98Rwd1z3Mf/AHfzBaWFy4N95KH12efqhSCgNDDKBF/D1zQ+/0LXRHl92+ffvozjvvbDus5b3oootG27Ztawtgw7Lq/fAxsCgry7Z2+OhalZS1s3NV0FyVFAY+iQETDILILgsTEjvCOMojA6jJvklG7ggkoACBhZea4BBinpUFhCmTYcCzPJkQeRYmfcpqmeqnMFAY2I8B9NI7tMV4gG44gAaBOGGhQ3TFQIdm7cC2wGD3lHBGT+XuWzyubSLoCJ/40CJjhXq8p55WyYz+9PgKPwquwq/wvRg84YkCnj8iCg748BZcL4WOpJMWJP9S6Su8MDCLGDC+lxrbCY/v+yzWoDOLq4yejJloDQ/Ca+gEPX2G1mYRN9Xm1ceAsRaeq3bvkZfGFXloxxgDqNNKjC0Zi73868fs6n9F1VgYmD8MoCl6E/rE50EWwsRZyDLPtKBsHhq6RLfiiybnb0ys1S8qY+da7fn67oligHGEEkjw/Mu//Mv+Pzmxm8K/OdsFZjen4wYMnpRCAomRxe4xkxYGUUokIUagUSI5E5vcoSQeEHaZ9Hi34l6CDCYKCgMfYQCNcBQ9dIamGAY49CoOoMP333+/0Rm6ZLRk3JTGO+URbfrnWX9YhCbt8nzooYdaWju3N2/ePDr33HNbOvSNNu0IpXzKq6xZhijY4TG+D96E4z1wBuBnz549zffHa64DcFcnvgeioCtHXpAy28uYn/TTp6Ubk7WCCgNTjYHwqIzxNNZYp0vEhVYsfNpJjV+5VoNzNQT+gmfhN9LQGdAnYABVTmiOjw4TljrLLwwEAz2vNU6MK2PUuCIPLfwZd+4HJA9fffXVZmx30oF8rbEVTJZfGFg+DODz+Dl9Ft2htdAmnr5u8U9ub7311rbT/8EHH2y6p/ub6WhOEfZ0vXytqpIKA6uPgTJ2rj7Oq8Y1jAFGSMZKE5DsaPKHAcIIoeOOO64dLfOnJyb/BA7jSwwFlELCK0IMKk1sCK5MgLwnnbQBgsvEJukSXn5hoDDw0THp0AdaiYMbNJjVbvSDvkKDntE1GrVbKs4ORYZM6T/44IO2ap7FCjtclI8HMOwpiyIaI8U89Ifvg5PgzrfhR/luCzaO0zJ2wtFVV13VeJ5JsXQMpMKTR37vw/4QrkzAlyZ9lfAWWT+FgRnHQD+2PWd88/EhLmE+VRo76hg76Rn0DvcoWmjFb/At6fEsaePwQXSVRQnp8Khxdcw4Sqv5x4gBYyb81pjhjC1h+H9ONjCsnHrqqW287dy5s409f7ppjEkjX0FhoDCwfBjA2yMP0CNa7cPIAddKkAsWJfB5V52gxfPPP7/JheVrTZVUGJgcBg5YQibXhqq5MLBmMGB1be/eve1f8PYtHmd1JxbhQ9BQ/DZs2NCMngyfDJgmKiYegFLImfwzpPClEc8woJwYTaQfKo/eCTcQAdhe6qcwUBhokzN0BOzQRC8c+rJDhS8c2H1JcYxxwfEfEzsr4mhMOdkdik4pjna3uLPMfZ7+DdlOTztbhPvX9i996UuNLod02yqcwR/KNX7HOZ6eY7Nw48iUPyQy6WX4tZvT98eAPORpPb9SbvgetOCJfbx+KSgMzCsGjH/jHe8B+IUxn0WBnhbE40v0DFfkoEU7dxg80ZhJLtpkbFJGnDzKx+/Qq4UJdMaIBdRVUBiAAbzYeOnHX2Rn5KN0xtg111wz+vDDD9sOT9e6kKMW+Om7BYWBwsDKYAA9hmfj++iS8+w0IT7vvk6L8u7YFb5ly5aVaUyVWhiYAAZKY5kA0qvKyWOgnxB7NkHoJwlR+hMWvw9P2PBrUp5wz5mc28XFwPnSSy81Z/LBiOI4K2PHeeedN7KjM2C3p4kGwZO6GAM4oGxxqYMw48SPM5hEAU355RcGCgMHMBA6QmtRDMUmHB17piQODWxoO7Qoj7RcDAQnnHDC6Pjjj2/HSBke7Gh8/fXXm0HURNGEkeEB7coTGtcW9fWgDVxgHK0n7mj8vuzkD//J++H6MUr2yjaex9jJ6Gviq2x/nGbnTwDf0w5xS33fEA/JW35hYF4xEF0iNIEG0BgIvaAZz/gR46Z/X3dFBpqyGIPO6BloEO9RVviNcqJzJFw54WdFczBUEAwYD8aGMZIxKa5/TlrGTjouHfjb3/52u7rk7bffbnKRwZ3MjZyJb2yrgwxMmPKEc/KMqyt1ll8YKAx8RI9oCK2gm55mhDuBdPrpp7ednRahLUBbjHCy0EJEaA8tBhKWd34f34ePS9vH13NhYKUxUP8YtdIYPoryFxnGAY5yFPkry6djgHKG6fOBXUcEAAf9JgEcJs3Z0UAoCDMZoGTJMwR5o/hJL63dmVbM/vIv/7KtoinLirZJhx2a2xb//Y5PGbTCRnlMGzyrP22LH+GRoZJ0ae+wXfVeGCgMHBoDaCkO7QYShsbQ3zgaw0vEyycNHhDeohzh8uEHdoHiB4ybjpZa9LC6zvDHCHHJJZe0CaA8eIy79ULvyrRjNAqrcMbRvr3Ddo9rb9L0fv+dyk++3vdt4yB5+SB4Cl4YU+CHAm2x58knn2z/wO7ouh0FjMF2uIJ+0ut9XJ2p71Dx2l1QGJgXDBjz+AdegeajK3gPPeAXwukpjJl4yte+9rWmW9x+++2jG264oU1sTWDxEvnCs4KnlBW6R7eH4n3JV/7axEB0YjyeM26MF2AsecfDPTsmSx92h7XFPsZOuu8dd9zRjtPKLy0ZIL1FRItjFsOMeUCmOBmhHCcjGGqK1zfU1E9hYCwGwtPRDhkS/QzvF2cB3oKYU4ecNI63Wxxzpyfak5fM4ANyBt2l7ITQY7kAAEAASURBVN4XL50wtIyu1xIs4qWUzynr8NrZOWUdUs1ZeQwMmXLe+5oThmdR3LwH+ueExU8cRi+f418UM4YNPiFitYygIEgYPd1RZ2U7BgtlyKtuQilOHSk/9YWnJm/Cyy8MFAaODANoKfTU50w4OlwK0F9oEI0mT2g5NEzpMzmjNFICTeZM2kzowicYBLPwMa49KVNbxA95wlJtTLsOJ32fZlwbhnUslb7HC56YO0vtOMPjGF3wP98bnpfvOlS94j4tftjGei8MzAMG+nGP7tAN4IeG0BojqEmsEyKMoHQMRqMA/jMOhrQV3jUubYUVBmAgY2Y4No3PhPEZTVzz4p5qhnhy0OIfecCRF9LJl7FtTOc9ZfVx4iN7qzcKA4WBAxhAJ4HQTnzhnskBG3CygEZO0Evpo8CcVTw6A6HF9vLxe575qTM02sfVc2FgUhgYr+1MqjVVb2FglTAQBQqzpyhR6HshEKUrYTF0EAzDtJocASA9g4ZVMqvWdjA98MADrY5rr722rUQzclqRtmOL4mdluy8zQkJZXOISnvdVQlVVUxgoDBwBBtBseAqaBcIA2hWH9vEB/MSCB6PEZz7zmbYb62/+5m/aH/VcccUV7W49d5oBO2iUx3DBZWeWSaJyKaT9CnrqlBe/y0p7FmLStrQpvC1tl68vo39OXmk89+/hreJSlh09Fn5ee+210TPPPNMWe+wy8+/r2RlkAUjbgPL6+lpg/RQG1jAG0AMazbFCdCbM4olnk1L0L4wB6YknnmgT1quvvrrdi4i/WGzoecQaRmd9+jJhwHgLn1dk5AGfjBInTZzxR/6Ra2SCsfrjH/+4GePJBHKRTJPXWLcQRi5IGxlnwwCjDMifZ4krKAwUBg5gAL9HR2iDi46HFkFokj5pAYKB0+I75/oTm3Ts9MwuTzqa8sgbLnTf62uhf3Upn35ZUBiYNAbK2DnpHqj6J4IBDBmEWYfpC+sZtOeExZcnkHK8Z8JhJ4Wjmv5l2P0nBAiF7ZRTTmnHU+1kYuDIsZy+rBgiekEybFvSl18YKAxMHwZ6nhD+oZV55lMu+RRMSqjJncmbMBfEO9r+yiuvNOMEY4Y0FkUsjoRnRanEMzhKqPzi+akz6VrA4k/SC5cuaZO+95NnKb//1j4N/iUuii7l2U4eC0D+pOmMM85o/8xr0ipNyvGsfSDt68ut58LAWsYA+sALLBCYyKJ1ekToB+2Ic02GhQW7Ozdv3tz0DjqHuDJ2ruURtPzfHv7dyxG1GJPh5dJEb+aTaXYZG8NknTsC5XeFCzknn3dyUnrjOPJNuDEcucnIL8x7QWGgMHAAA5EHkRvoJHR4INVH8+BsvLEQ8bOf/azppGiYHor2GDqz0KY8Oh7wrNyAPOIYO7nIpsSXXxiYBAbK2DkJrFedE8NAJuGYM4dRD5l137gwav6QofdxBAjGbkL/wx/+sP0BCYOnichXv/rVZuwkTJQhnfTaom6gLBMRQiUwbFvqj5905RcGCgPTgQF03Dut8o7ex9Et/hAjpgmcdMJeffXVtqL+8ssvj95///02MbzyyivbFRj50pRnQoiX4B0mfhRSPKaH8BlhPe9RhneuT9PnXerZdw0hbRJH0U473B/ojja+tjLsuqNT2/G9TFSDu2G59V4YKAx8hAE0hmbsdMMz8AthnoXZJW5RwSIrY5JFVnfiih9Hs4XXwsCxYiB8vy/HWIuOy5eGjCFrLP7nSgUyi7HTWHV81mYAacmGyCS+sOjIxrz4yDxlFhQGCgMHYyD6VPg+fxytoi+6Gr3MqUML0nQydGtnp3h/sIk2pROO9pQVvTU10/u40G7Cyy8MTBIDB8+IJtmSqrswsMIY6Bl/GD6GPGTKSRcFbdisxPOlARQ2x3Fs/X/00Ufbvy5bsbar4rrrrmsr2eIZPBkjMvFQBojwIEBieBjXNmFpe8tYP4WBwsDUYCA8oecRntEsl2cN9mzSxnl2fM8E0J8UPfjgg/v/wMFRIoom4yD+gXfEwKFMyifl0mTRkb5MEsPXwi/yzsdj0qb+/XARqb2B/ptSF194+KM/Ytq1a1fjkdpul5kj7NptJzzFWvrkSVtTR/mFgcLAgd3h6IbOEZqBGzTH2EkHsVhC38Ab/Muu3TqMoJmgFi4LA8uFgciRlBcZkLFJBuRZGrLHzk7p6MJklisXGDrfeeedJuPIB3HJFxllzBvDxjU5J175kTNpQ/mFgcLARxgIPZIZQ1qVAg0BdOmkDV3MvfFokDyx4C7szDPPbItm0nHumVde3lshiz/oU130VJD620v9FAYmhIEydk4I8VXt6mOgZ/SUp/49DDlKU6+giYvSlTx5t9JM8XIP3be+9a2WzpGb888/f7Rhw4ZmoMgKGYOFtIQDw0TqSJ3KFJeVsuGEXzpCRJph3Opjs2osDBQGhhhAo6HnxOEZ6JaLYhl+0yuKnh0VQv+XXnppM1I4TvSf//mfbUfL3//9349OPPHE0ZYtW0annXZaMxb2Rk/51J3dLyaD+A3o+ZZ0Ce/j0nZptWUchO/1cT0vSj14nmfKMn64b9++ttvM3U8bN25s36EMbWTkhRvGGPVqX19mX1c9FwbWMgbCP0I3aNakE93gBSapTz/9dDN4nnTSSc2oFFpGk9E/1jIO69uXFwPGpHGYcaZ0/DvOu3jyQBgfj7eLjLyz6/iLX/xiux/Qv7S7fuGyyy5rxhZ6MtnQj13GFPmBxT+00NfdIuqnMFAYaDIBfaAZVyWhG+8B4Wgs8gM9kiNkxwUXXNBo0n9OWHC3EGEx3kkkZdAz0TLa7AG9KhfNFxQGpgUDZeyclp6odqw4BjJRwKABP66vHJPOpF588vVpks/kAbO3O+mpp55qx3OsSFu5Pvvss0ef+9znmqCQ19Ed+bI6nXoIB0ARJHTit8DuJ20a154uWT0WBgoDE8IA2szEDq0HQuuhXTQO4ucZL6GQZicnY+f3vve9ZjB8/vnn2/EicevXr298p88fnpS6MiFsFX38kzR92JE8p/3Js1R5wmNQlccuM/d2MnZSmHOlB37HZVeqcrV7qXJTb/mFgbWKAfQUPcGk0qQz4Nm1F4yeaI0eEh7BR1cFhYHlxIDxGJdyD8W/xRm/MZIwetKZGe3dD6gshhlAltGXpZUnsi1jOsb7GtfBfPmFgQMYQB/oCd2QDZ57SHjCojMyaDoNYG5KN0OPfPIGoDdx/HFlhk5TbvmFgUljoIydk+6Bqn/VMDBOIcKUQRg2hSoTib5hUa4SFgFg15V/XLfyZSennVc33nhjM1aY1FslI0AIBmkIHxN9K2jDurWP6+uKoIrw4GtfQWGgMDB9GMjka1zL0HLoOfGh9fAm9E2hTLg/MPrDP/zDZijcuXNnuz/JNRn33nvv6KqrrmoK6fXXX9/uWcquULxGOdqiXHUK68PDQxLPzz+mi7PbMiD/EKTnDgUmr3aZOVJrh6dj62edddZo69atLW9ft292jNGkF3/M9x+q/IorDKw1DKDF8Ad0Gjq2e/onP/nJ6IUXXmjGTscR8Qf8gw4CpD0cul1rOK3vPTYMRL4MebZ3O8DGyQ81Zuwyqmzbtq0tiJEVdpAZy8YwHZrBPkaYLISRLQww4si9gsJAYWA8BvB8MoN+B6KjRv8S55kxFE2iW7S3adOmtmiGJi1Uf//732/6p/+gMM8N/aZWixJ0TOFxiSu/MDBpDJSxc9I9UPVPDAOUsLi+EeMmBEmHmVOyTMztnvBv64yd7jdhdHCvnsk8Zs/goCzKmHwEhhXqTOaHymHfhtTHj5FCWQWFgcLA9GJgHO/oW4ue0T0ffwA9XYfekw4fcWSdQsoA6X3f4pFw9/Lt2LGj8Z1TTz21TfqUE8OGOsJflJX6otimnX3d+AyFV7uSR7znQNLHT3jv57tyfJ2RFn887rjj2pFFO9yB+pSdOlLvocru66nnwsBaw8CQFtEKOjeR3b179+jdd99tNMWAtG7dumYskgbdS1e0tdZGzMp/b2RF/IwxPnmV8KVaQmYxntCryTibAvyRnT/4tPjlT1GAclKm8czgSZdO+FLlV3hhYK1jAI1Ev/I8BGFoio9mGUTRosUFd8jv2bOnLUCg0Ztuuqmli37JT/l0OvnRaeKHddV7YWASGChj5ySwXnVOBAMYcpwG5JmPOXNLASMAYcBg6Z9OGRzsohDmfiFGzvPOO6/dQyQNJY1hU5kEAGeVm/D4NCEgLcHET9vkSRsP1c6l2l/hhYHCwMpjAN1yaDQ0O6w19DsuXlyUxaTDB6ya28Xiz0bwFavudsC459KfGfk3W0bRM8444xN1Kydl4Sd4FlBPz4souCae0qoTJN/Qb5FL/MhrIvrBBx+0BSG+f4TmGGECyky5+CLlGo9MWNKVXxgoDHyEgdBrTzueGTsdAbaD2vF1u6jRM3pHj9IM+UrhtDCwnBgw1jgQHh4/9fRp+nTGKt7vT1Do1wyezz33XLs70J2ekavGMCAvyKq8t8D6KQwUBsZigNxAK1xkiISe6ZOADEFXHLoVx5nbokd5pSFPODQrXU/jnlNHX0+roH4KAxPEQBk7J4j8qnr1MRBla+hj0EPGrXWULODOOatatvTbycl/+OGHR7fddtvommuuaX+6sbCw0ISAyT2hoEyQu1KinEU4RDFsiRZ/hKsvwsRReWkII4Ilwifpyy8MFAamCwMMiWgYraJn9NvzldB+/GHrhaP1gPz4AR5gZyTn4vif//zno7/6q79qO2Duv//+tvByww03NGOinZN4DUjdeFG/azPlR2H17lk+dfqO5M235D1540vPBfA+9wbikXbouHfUzh1/2tYfOVRuJrHq7g2hKav8wkBh4AAG0GD0CqHoB739z//8T/uTRMfWLb5aDLE4gm9YeECf8va86UCp9VQYOHoMGFd4Ocg48yw8fuSD8deDcHltDiAb/DHfrl27RnfddVcbz8ayPy+KnDCeGWPIC7s6+QWFgcLA0hgITaIVsqOXH54tMtANncSh9yU9OhPn6iH/SeFdGs9ONqI/+UP7fHnRaMKWblXFFAZWFwMlKVYX31XbFGEgyv9STWJksHPKZGHf4k5OTN6fhLiHzmqXu/Tc02knBcYfcLlzhEeUOcyf4CAc1EuoxAgqn7DEyQPkoeRFaUx4i6yfwkBhYCoxgE7RLfoO7fLzjK7z3NN0nkP3eMQQhNnlSfFk3MSfXn/99WbssLPL8fZti/ef+ROjz3zmM20SqbxMEFOvcoX3gP+AtD9t7v0+fdL51ijJwvDJN998s+00wwvPOeecZqSNciytMtUnLz6rLWlP38a+vnouDBQGPsJA6A2toXm7vC1UMHbaCeePEWMIio/eQmOFx8LAcmHAmDLGwrejs0ZuqCdx8cfVLY7MMqYXFjcO0LudkrJoxhhKhsWA7zljmZw1tiO/xpVdYYWBtYiB3KPp2+lfoRl6GgdCN2hMGH1MvtAq46WFaEZPi9iuS7HYfvnll7eTjOgd/XPKT75WeP0UBqYEA2XsnJKOqGasPgbC7NW8FIO2a4Lyhcnbyu/+Of+6bkJx8803t4uc5c+OJcyeUGGE4ExKTEIIAoqaeoRR0AgUggLIR4EjeNKu+PLEtcT1UxgoDEwlBtBsJnt9A9F3FMHQtXjPeZcvacRROsXhC4HwKfxmy5YtjZe408z9nf646MUXX2wTRgqqY+HSJU8UUvUcqo3qtKschO/ETzviS6udeJoyPecIu12dlGS7OrURXxSP9+Wbkj91pdzyCwOFgaUxgI7Qm2Prdk7b2QlMWBk80R1dAt1mMou3gPCD9lI/hYFjxEBkG15uTAa8f9pY6+WKZ3KCwdMfpJBhdpK5G5/MIMuiZ0eWxZgjb8Z56i+/MLDWMUAv49CSzTZDQDdoiS8ePaE1tIue0LZwi9b0OHqhe6GdXrzooosOou/wgWEd9V4YmAYMlLFzGnqh2rAqGMDQMWSMfOgy+RcPCAhb9d2FZ9eEo+sm73Z0/vVf/3VTyEzeCQKChMAAyiUsvBMQIEqYY/DKF5eVaem1K23jBzz3BoSkUZ8y+7TJU35hoDAwOQxkwSItQL9oHKDX0HDiQ8OZJEqL9wBlee/jEh6eI84/1q5fv76V7Zi7XZV2wzju7gigCeTC4k4ZkPrSlhb48U8UY6/4VNqa5z6tZ22L8RJv88zZjbN37972522/9Vu/Ndq8eXNTlJWHb8lHaXY1SPhneKT8FG7vvj/tHdZd74WBtYwBdIF2GILuu+++Ritnn312u/PQIkfoCY5Cc/IUPa3lUbPy3258RYbluZcf/fjrn7VMPnKEQdOpBTLNSSp3Un/lK19pdz6TDz2QWeSFvORFQWGgMHAAA70+dSD0o2vZbMZBa/RDtBjdlW7pndwIjVpA27Z4YsjGnW9/+9uj9957r13hZo6Lvvu0qScLEZnvJrz8wsAkMHDwObZJtKDqLAysIgYwb65XwFRPWeLybEenSbsVLEZOBk+OsdME3p8RUbQYGzB65QHvjJ3qsMvC/XkxigrnQAQAwZIJvzBlxXnntCsrbvwYP1pB9VMYKAxMDQbwgdBt6FlY+E34z9BPvA8JfeMDoX88gOLKT7i03vEQO7kYOy655JI2YfRPtgyO/uzhww8/bHwnE0V1DyHlh8+kPfGH6b3Lo634YHibXZ2MmHaa2RHvX9j9W/wv/dIvtSLUrf3aIi3fu3qA8rRBmcovKAwUBg7GALoIbaA1dO7kybrFf193fQV9IrwiOcfRfOLKLwwsJwYiF/Dyfqyqo5d74+okE8gD10NZJCNHXBtFDycXIsOS13v08ISVXxg4EgwMx+iR5J32tPk2fg8Wmxk70RuIXsbgyaBJhkR/FW8ue9JJJ7XrUcgaMkd+5aA/MKwDbY6j2Za4fgoDq4yB2tm5ygiv6o4eA5inSXWYcK/AY7TiKVjC+1VecVG8MqlOXoyaw+AzsffOSODf1hk6uZNPPrntmvBvkYAwIADUk7KEK0P7UpYw4D0rZkkf/6MUn/xNGalDek54QWGgMDD9GBjS61I036fDr0Ljwk3+At77MqSzoCIM/8OTKKOOATri6s8e+K7QYBDNKr584Yt4I57nPbwm9adevnjp1BUjLH4szA4BebZv397uELTif/311zflWL64tF89FoFSX+pRhjDl99+Z+PILA7OMAbQCjPOexoSjQ2HofTj2M3FEF+jDQqzFBHqKPGjJP7C7q9OzskxElUNXAeoIjfd1t8j6KQwcIwYyZvsxLCzhh1O8sWrsogHj3H34TifYSUaWKdsYD6CHpE9Y+YUBGMDrhmMvc8iML+/0I+OIDiMPPilfr4Mk3FgzLsM/hStDuPQJn5YeMOfUJm3uwXyXjsb/NPBtwYdTA+bC3t3dyVjKCGoxO/IleFOv515//bS6Kr4wsFIYKGPnSmG2yl1WDBAqJtaYK2U+DFQ4wJCtInEYbM/cxckrbRix/JizYzN8QoHz7m5Ok/Z77rmnMXV1fv3rX2//FJmPopRlEpEwPgY/LpxwIEx7EHYoiODMtx4qbcUVBgoD04eB0PDhtGwpOu952bAcPMQxdi7AqIkPfuMb3xg9/vjjbaJoFf7cc89tyi3FVD78EO/DG/E9ii/emjaLj1N2+Ki82hqeK78y8bf/+I//aMfof//3f390++23t4kEowuI4iuvtEN+KI04bSgoDMwjBqKHZBKab0SvaBGtoy8udCiNePcXolFp9i3+YaIjvv6UzMKGew5dW4EOpUVzaBr94gfAu4m5NOovKAwsNwbGjd3DrUNeC3fkinFq/DtB5WqWhx9+uBlXjP+NGze2cS09WiAzuILCQDDQjyHjyFjBC/FGxs3wUe92DVskDk90qg/gk0Be41E431gLb1Ymns6lTOmnBbRpHFj85gJLtdn3+ebEOzngign3RN9///3tfuivfvWr7UQBXEpLr4Oj0GZwlbrKLwxMAgNl7JwE1qvOo8IABop5R7Eh0EwQMGIuhsyeuWLWPYRpu48zgitCTlnf//739x/9zD8aO4pJMDhSQyiOM2b2ddRzYaAwUBiYBAaimOJ7JoruWmIkefnll5sSSmF3rFw4/ukdT8RX8UHPUeDxUbzWe/hoeKxvE8cwKe61115rEwkr/9KYKMTYosy4SeCk6iwMTAsG0EZoCf3lGS2ht+guwtGyd7QjHxoVjp45i7B0ETtr6CopSx7pTTaB/AB9qzP6Uwusn8LAFGAgY1dTjNEsCuT+WfLEgh1DlV3NxrawjO0p+IRqwpRgwFgyfsznPId/4n94Hz7a80bxGUd4Z+aDfbhnefnKzNzRO17Llzfj2Ps8QL4r3wIHdEffumfPnhYceYRu4UKcfPAvbF5wERyUP5sYKGPnbPbbmms1homRciDM1GoSBhwXwRMEET69AJLOu9U8TNmOCKvJwpT5j//4j+0f10877bTRxRdfPNq6dWtzUbKkK2NnsFt+YaAwME0YwMPwJ8r4lVde2e7P/K//+q/R9773vWYccSWHxZtf+ZVfafyOospgaeIY3kpBxVe945dAeaCfJIiTl1LLmOr4vHLsMnVESlui+HqOawXVT2FgDWIA/aAvekRoyvNQb5GGA2hIPj4Dp3s6HWG3+IqmTj/99LZ7M7QZOk75oTuTeHUpp6AwME0YMC65yBs7k41/x9g5csZ4t0nh5z//eZNhNh4Y2zWep6knp6MtjJ3GUIzmdCL8EW/kGzeAb8xx4ZuMoUOQTnzPu4074Sk3cX3e1NOHzdoz3Pg2Dh4XFhaavPHHYeSRxQd0iUYzN0bL0tMNg+NZ++5q73xhoIyd89Wfc/01ERyUeIyUIOMicCJ8MFrhQLqe2drJJMzRL2koUI6CWaXyz6Z2cDoO5sjnpZde2nZMMIYq22RhnCCca6TXxxUGCgMzgwG8Dr/KEXH+GWecMbr11lvbzpjXX3+9HT/iW+hxB3GUfR8Z3mlXJiWeS7y4HsJbGV/cp2Z3pz+V8C+67lUL3+19z0tByudLd6i0S5VR4YWBaceAcU2H4Yx1Do3FaONdnMl66M9EWz4Ty5/+9KejfYvH2NEdOrODWzrppUme7FDK7m1lqKfoatpHyNprX8ZkdoMZuxbMgHFLpgA6uiPtW7ZsaQYX4xkkf3upnzWNAWPB+OHjhSD80/gK3xWPh7777rstvaPZdCcLtox24cme8WZlhC/zxffjjz7ESRdePk8dAXe+10K5BfOFRaOnxXJ6n+8+55xzGs3m2+HXc97nCRf1LbOHgTJ2zl6frfkWY6wYbwSXdwwVcwUmC+KAOAya8PNsEs+3Fd9uzbfeemv0k5/8ZGT3k91J1157bTsW5l4gzFs58hB4Vq6KcTe01k9hoDAwhRjAA/EpPuXd0b8TTzxxdPPNN4/uu+++xuMo+G+88UYzTNq5HsAXY2hhIAHeAR6a5xaw+JN3/PGdd95p/9DpT4n8oUTaoB3hy/GTf5yvzJQr/nDyjCunwgoD04wBY9yEGQzHvDB6B+OluBgvPaNntOtkSu6eW7f4L+zSe5eGjiIP5104OkKTJuIFhYFpw0D4fGiCvm6hTjjHwGI3s3HvTn1/xpU8pZNPW29Ovj14X8/rMla0jJ7DGTd4LAO6eGFOpeQPsOg8mTvKJ700Nsngt57FA3yWM377elvkHPzk2+DAhiDfbg4t3GkhOqA/Lgo+fLK04nvczwEq6hNmFAOl+cxox631ZmOgGGsmAj1DjUCCI4JHXJz0BNKHH37Y3EsvvdQm6YQeBct9dhs2bGgGAgZO+TLpwLiLea/1kVffXxiYbgyET+F1jvqZNPoXdhNEO9kZJh0FfPPNN5tjBKHkR5nH8zzzlRXw7NiScOXii8rbt7jLzAQAr1WOiam0KSPlpZxxftrMx7+Td1zaCisMzDoGQhPGO/Deg/Ef3SW0gS4YLu1EQnsmne40dNoE/TGE0m36Mj0LU17C+3rquTAwTRhwfQowpo1ZYxcsLO4iA+SNUwmMnnY5G//SFRQGegyEn8YXh/8ZM++9917bkYif4pn4qXFml6KdnTbA2LnoHmTjMLs8laE8aRk7h/xUOKfc3ugn36yD7+7pzLu7os2Z4QteLUb4/sgaaeCBX1AYmDQGytg56R6o+g8bA4RLBEmYaM9IxXMUfytN0hBWWWnzTphRqPwR0d69e9vxdQpUjq3fcsstbcKuUeri1GGnk7IJvhwRPeyGV8LCQGGgMLAKGMCj8D48zjHA/BOz8GuuuWa0bdu20b//+7+PHnvssbaj/c///M/btR1f+tKXmkGUokqBZQDFLyn1gOEUX7VbFD9cWJx82mGjnB07drSjXxaKKMAmCvgmxVdaTrn8IWgX4EvPT1ivXA/z1XthYFYxgA7oJMZ3xnz/LeLpLegQ/UnD0UHQnCt37OZ0VyeaA2hGvqVoDD2Grvq66rkwME0YsJhmnKIP8scpBOP+wgsvbFeuWKBzCsvVU65OcQ0LeVOyYpp6cfJtCc80hjhAf9m9e3e7xsfueMZN48wCrWe6jcUkC0l2Lf76r/9604ksKpn3BaLb9PzUM14tL749b4C+4ABe6Zd8pyCdhnzggQdGL7744sipHgZP82Pp4ZYrKAxMAwZqJE5DL1QbDgsDETIYKTdU7AkcTjiBQ8h5jlBiALCSh1kTbBQpxk9GgRNOOGH/v8xpTCYZniMs1T+sU3xBYaAwUBiYJgz0fIpiSgkP/8Lrzj777LZLxhEuuzxNHE855ZSm+ON3lFQ81jMf8Blh8FOTAvwTP1W2CSdgFA1oQ+8SPs4Pj05c3/6ElV8YmHUMGOcZ68Y4mkoYOk3Y8DsZfJxGQXdokt5ikm4iTq+RF+1xQ9qRXhjX1z2so94LA5PEgPEZQ5ExC4xXciv6uPHurmnj3Y48Rn+7OwsKAz0GjA9jJsDQSdehr3jGd401hjm6i2d58Fn8FH9luJPOAhO9R9peL0rZa8lHj8Et/KJZ/3/BWahwpP3zn/98w5W4gsLAtGCgjJ3T0hPVjkNiIEyWIIohc1wGihFFiVKE2WYyIS1m7AiMLfdWowg9K8P+VMMl/44tOJ6pLgZRgs+7XU6epS8oDBQGCgPTjIFMEKNs4mUMky7ep7BbkbdT5tFHHx392Z/9WfsX9RdeeGF02223tdV5ij6+l/zxw1czcbDLxg4bx8LsDHV8ndILwnuTdxy+tDNuGC+8oDAwbxignxjb9BIOfXD0C3Em0/QbYejNxBI4feKPidAaOO6449ppFDRnV5K06JYvrzpSdhYohJmg1m6bhsL6mUIMkFGA0d7Yp+9nJ5kwhhR/uEeePfLII+1qFnp7QWEgGMDnjBvzPbzPuGGw9N8M/kwnx9ils9HFnebGmKt+5JHXAq5di8ajRSW82V2eDKM9/xSOzwLlhb+nLfPm+8YYhOGCnogmXSsBr0899VQ7TUQWBS/zhoP6ntnEQBk7Z7Pf1lyrMU6Tg6ysecd4Ke98ilEmEBR+zwk3GbCi526RZ555pq3Y+RMNE/PTTjutKU8EWrbfy6cejvAiAJVHaCq7oDBQGCgMTCsGwiNNCLP6HqVfHD5Gicf7Lrvssv33ADoeiw9S/u2YwfvwO75y+I4y8Rk5X3311TZJwEcpvHaM4qEAfw6P9o6njoNhuDwg/rg8FVYYmFUMRF9BgyDjPDQ21C9MvDm7Oi3Ummja2eaYJbpTDjpHlyae9JQYSFMWmkdnnHr4qXdW8Vjtni8MZFxmrKITi2oM/wwn0b/9CcrFF1/cTiK4b99OMjv27O7sjxrPF3bqa44UA8YRnce4MZZy/YeNLjav0FPwTjyULiQtH+/EG6UzVzT3c+Qdb2UYZeAzzpQfncgYVY98cUfa3mlPH/mEJuEtcgYuzjrrrIY3c+ydO3eOLr300mbwhKOSM9Pes2unfWXsXDt9PfNfSnmPUPExGHCOZ/IJrBgsxUe5x4QpRe5r2b59exNgv/u7v9sm9FbzOGVJR6CpI4LS5EI4oYixiysoDBQGCgPTiAHKZZRvK+2OYjGM2AkWg0cUUDti7Oa0qxN/3Lf4R0OUevzOnxlJD/BGOx+ACYFnhheLR8DuMkZSvroPB1J2n1a7hPPTxj6+ngsDs46BGDvpMjFG+iY0Ftd/o/R0G3TsugkTdXQWPUUcepUu9/MqB0RXUY8wE3n+ONrr66znwsBqYsB4DF2QH94Z+IXR58kkhhNgEU48A5TdZAyd//d//9f09TJ2rmavTW9ddAfjiFHOGMoczh8zCjPfi8HT+JLW2MEnxRtvrjl7/PHH2zj0/NnPfraV46ulx0fpQcqXL/PS+NOLnaNrGdnhe/nBlW9HlxbNhdtpbRGcgRiNlg53dLiuXCuDgTJ2rgxeq9QVwMBwEkzgxKmujxeOGZskUIrc72OygCkTaO6nW79+fWPc3u2OMHEgGL1j4oQapYsAUxZfeD9JWYHPrCILA4WBwsBRYwCfAvgUhy/ih1E+8UDvDJeu8bBa//7777fdDHbLUGpd66Ec14FkMqpMafHE3HnMkLqwsNB21tiBA1JX6muBH/8oK4owv4eef6t7XP4+fT0XBmYRA8Nxn2/ox3/C6CN0EzuNsisJvTFs0kWUhVZCLylDeF9PwuOn/PILA5PGgHFKZvTjlb5N1th0QA/PePZukY7BimxCE65TIedsSCgoDMAAfgiMKw4PdYTdrniLRQya2RjDWG6M0YfwRyC/eSBdiUGdw4tB9CplKlteTh48OWW0xHPyg/7ggp/5sROTAE49M4LCkVMI5tx2W8OzPPOIkznp2jXzGWXsXDNdPT8finkGImCs1EUIEUAMlxiwo5lvv/12c5Sn6667rq3qWanL7k3pMWP5CT7PJu6EX5xjEOKEl1IV7JdfGCgMTBsGopQ6Vm5Hp5V2xskc2WLM5PA7/M2xwKuvvnp05513jr75zW+2yaNj6eIsCuXoFl5L6TfBxAsp9v4NetOmTY0vwgNlFz+lECs/0PNsz3nHa+OS1ntBYWDeMGDM9wbK/vtMltGN+B7QmR3a6Bcd0z+2bNnS6BqNKZMuIx/6BMKVxYlnOEJTQ5rs66nnwsAkMZCxqg3GLF2dDk+vB56lobOTKyeddFLT5W1msKPMApwj7gWFgR4DxpJxwwD3/PPPj04//fTGQ/FbY4y+4lQLvupOTnwUv8Rr6U7GFZ3HRpkYO1O+MSmtMQnCX3u9J2ln3SdbIm98H3lChwRwx4BM37RobsHcHdMbN25suz7hfx5xMut9utbaf7Bmtda+vr53pjBAcHE9YLoYMZdJMgHkaJd/LuVjygQbhuv4lxVhjDvplZcyhkxZfeKEc32evh31XBgoDBQGpgED4ZMxgIR3Cad4gvC78E0+vkjhz+o8RZ9h0w4Iq/Z4n8kl51lYjhmGb6YOvjT8HobviUv6vJdfGJg3DKAHLtDTAvoDibdgAUyoM6kWh86yI4lOIwydCw9tC0s56hDuva+vFV4/hYEpwUDGa5qDHozpjNvEG8vGsYU4O8rs1rMgQNcvKAwEA8ZJ+GF0nIwdY0lYwvl4KKOlOHwVhM/KZ06Z8lKHcRgnTDkB4RmzCZt1v/8+39K/+1a7OC2oMxQzdsYYOuvfXe2fDwyUsXM++nHuv4LwMAGIgo/Rcln5xWylAZSf5557ru3s9CcaFCGM18rT+eef346AZTVOPo5gE0aJUg7hJh+Fi7N6Jc5zQWGgMFAYmEYMhE/iX/gjfkUJxdsYL+12t6vBog++B/DLfYv3dfqX2wsuuKCtzH/9619vO8bsesAzt27d2tI/9NBD7UiYxSL81A5Qxwq9A3WkbhOIfoIQ/twSLv6k/qGf+PILA/OGgdAJWkAbxr7n6Bl5d0TSQq3jgE6VoFtxaNcRdrqQ3UYWHOxAUpY0aI4u0+spdJ/wAvEFhYFpwkDGdeSDsZvrU8QZ29n5bCGO8Z+sOvfcc0d/8id/MnriiScaDUzTN1VbJocB48jcjdGNnkP/4cwVzeOMLeHGmTC6kTvHzz777MZz3QeL9wpTDt0IbzXugPKNS3qO+Wh0HOXhs97x5/DcyWFi+WomN3xPwDc68eM76Xze0aQdnt/97nfbgji5dM455+zX85K3/MLAJDBQms8ksL5G64xQICi4AOERJ0xcz1gTxheOwRI0GDAnr7IJN+Em6C+//HJ7lpZgw4TXLV5uToDFoClfYFhf2pO2EmR9m5Ov/MJAYaAwME0YGPJPvI3DIzm8jAP4XN4pr+5CE8aQyWji+KzdM+7mVIaJAAXffceclXz1hbdLw6DDD4hX5pB/Jix+0pdfGJhXDIQG0ItxzwVCR5k8oiP05yoe6VwXYXGBgVOa6D/RTdBcylemZ2HS5Tl1lV8YmBYMZGyGFrz38gmtJI3xLI7xk6GKvCKbGKLyBzTelUVOSS/tEJQpHohXfsH0YiD6hRYO+yrjZth648R8UDyDpvkffcWc0AJQ+KI444Qh3RySz8jpVAs+a/5onA3HkXf5uMCwbQmfVR/ugvvQZN75wT1cuKNTGjhz+sciumf4pkvypQ/OPAvLu/LynrpmFW/V7unDQBk7p69P5rJFGFuUC0KmZ2YYXJx0lPlegAQh8nAEEWElHUElD6FmN4QVuH2LK3H+eV28u31OPPHENnm3A0lYgGBaSjhpY5hw0pdfGCgMFAamGQP4WfjrkIfGCNnzXulNGh0JzK4z77fccku7q2r79u2Nl4pTrvurKLbu6sRb8V88l69c/DV8FV/WhvBY7575UZQ9B5Iu7+UXBuYRA8Z8aCDfh3aEMdqYcKM3k0cLt4899li7/+z3fu/3Gn2FzizchpbRjgklP3QfHz0LT9rUWX5hYFowsBTv78eztpI9wswBGFPsHrvooova2L7nnnvaHdPoAh0xuJBHFvGGkPmCcIaspeof5qv31ccAvpi5Y/SJ8Lah4U0/csaJvqeb2KVJd7HzkC+MEU4afBZ/NHe0Qca48uyOT3dPSk/P+cIXvtB2hfZfb9OM+qUxnrSpd33aWX2Ge7jq8e5ZOLwCuh8cwh1cwClZ452+qB/IJn0IT/DOmfOjU+n7d+Urr6AwsJwYKGPncmKzyjokBiKYhokwzqEbpsl70nn3rEwMlHOsy86jV155pa3OYbLuoCOo7EKyQhf4NOUmQivpyy8MFAYKA7OAAbxrHCzF0yibXMBRL39a5F9uXQNiUrl3796m9DpWi4+aZC4sLLSJAx5McQWUVvUI4zL5EBeeGx//BkO/BS7+JF3eyy8MzAsGjO1+3HtOGFryboeRu8/s7nRk15+FoSn0ZTLZ06y8/Ts8hX7QZEFhYJoxEFrImO3bmjC+cc9nsMrVVIxODFVPPfVUowHXrpgPMKQsJQvVJw1I3X2d9TxZDOBzPaSP+Po/vjSe45IHL9T30irL0XV/TkR/eeutt5rhzVhiVDNHNJboOcYVI13+hNHx94VFPWecsZMBL/VG10n98+SnL/KNcMqRU3x45GL0tEhnwQ4u9y1uPPIHehYUgDI4eOMrQ97EoVnvWbhrEfVTGFgGDJSxcxmQWEUcHgas+gAMsgfMjWCKsj5OQcEcrQyZACjHcQTMMkfXxTvudffdd7fyb7zxxibgzjrrrOYr0wqVvOPK79tTz4WBwkBhYK1iAD92LyDl9Wtf+9ro2WefHT399NP7DZ/hnxaTgHe8uAc8XviQ1ydNlOQovfETL++h8idd+YWBWcNAaIMuwuCSyZ/xbvKNFl5//fU2UWSodI+uf5qWlkN3S9HVrOGi2lsYMN6zWNbzfOEc6MONfUYo8wXGEc/vvffefgOLXXmMW4ygZFhAWaEbdEXGCVN2wfRgAD/UryDztSzYpP+GvrQZK54Tb+HWGJDfTkSGTDt+bYxh4DSPzC5C40nc22+/rYjR5Zdfvn8O6VSgskDKpieNqxOPNp61nZtl8K3kjT7xTXx4Ep57ddFP5BIc2UGLtuD3mWeeGW3evHm0sGgwVo68yjAXB/ADj0D55vhw6jk0H3y3RPVTGDhKDMw2JR7lR1e2yWBgyLQwtYTx45ZqHQaIqRJcmKTnCBZxjh/YBYHhOsqCGVtlIuzEc5htQWGgMFAYKAyMxwA+TDGlbPLtlsdnTRYoo/hoIMqqeErs4UL4fj9Z6J8Pt5xKVxiYRQwY/zGyGPf92EdTFnUdAZSODpMjk326WfzuanNhYBwGQgNDmlhqvDOQmAfYAUb20Ov5jCgMZWRRZJP6Ug4fTXE1FxjXE5MP00fRJdJfGRfD1unHQJ6TR7gxIK85YAzkys69nBk38hhTxhAjnXx2IzKGmkcaZ+PGS+qMr07lK4+bdfBdcf13CRsae+EZ3pz8gV9zcTtkPcOF+ORJ/6bs4Cl15L38wsByYaCMncuFySrnkBjomaPJsklzGJsJNSY4hMRjlMnTT7aVaaXOP6//7d/+bbuX88tf/nI7crCwuJJEwJkkKDsrRsqSr6AwUBgoDBQGxmMAjzSZzMKSnTOU19NOO60ZX55//vmmxK5bvPTfn79RcvHWKLZ4rrChUqvc8F8+BZiTNzw6k1eTi6Qd38oKLQzMFgaMc9CPa8/9OzpwSuVb3/rW6JJLLhndcMMN7d5xOlCfbra+vFpbGFgaA5EBQ1pAL2RIPz+QhmzgHEEmL/YtHpel7//iF78YPfTQQyNH2d0rHWOoNLkLVxjZVDCdGNC/6R/9bmwEMifkc8ZA4o2VzBOFKyP/4yDOn7vZoenUHyOcY9Z2eLr+wPig49B3nAaUzr3lDKQWm8bNUbVTufwetEs7+jHbx8/as+/wPXQ7AK9wzpFVdsPybTJiHL7sssvalQD/9E//NPrRj37UjMauYMlpIcZk/YIOGUZ7PIXeLVqkD2cNX9Xe6cRAcfzp7Je5bFWEQxgaBup5CMK4Pt67/Bgjn6O8OHLAOfblj4gwVUe+KD6Yco6uqwNzlq+gMFAYKAwUBg6NARMAgM/ixRR+E4YcG8zOGjsfPOPN+DRlP8/h5Xhvz8NTc8+P8xw/acovDMwrBkIXvi/0gd4Ybfy7NLo64YQT2j9OowvpCwoD84QB47p3vq2XAZ5DG/nuxJNJHCOLPyKSDt2YB3gOeCbP0A/51EPe04Y+rp5XHwP6QT/FTwv0IT2ES5/FKJo0wsXLz+lzYfQRxjVH1sNT8VljZd+ioVwe8TbHMG7iuQzp5pHS96Ad/dgSl/GY5/69zzurz76Hg8vgGE4B3IW2GCjzz/XiGUKdUPBHe/CLVuVnHIVbfQSXyubHkDpv+JvVfp+ndpexc556cw6+BcPDPON8EoaIcWKAmCGGCd5///22imuV6Itf/GJz/lUYs42gkybKEGZbTLShrn4KA4WBwsCSGMCH7Xxwmb/dDwyc/pV0y5Ytjbfa2UmRxWc5OzxNFPBnvDt8Vjnh6SqTVlxc3wB5pU2ZKaNPU8+FgVnGgDFtjAPP9JrQBLoxCfSnRE6sWKilu1hMQFsmksnXHuqnMDAnGFiK16MNEBkiXdLGF8/YSQZlA4QrV9ATUAY6Qz+ee2ONch17VxajVl9my1w/q44BfaC/xoG+wiPDM4eGSHk5aaTV58ZGX6b+Tzl46xVXXNHGRNIr0y7FjAdjRH7gOQZU79qR8eUdZK4qfF7At8BHZBQcmE8nHH6G3xvjpj9+clLBvNxOTumCI/jRHxwg78TH6NkC66cwsAwYKGPnMiCxijgyDGCMceNyYqhDgYI5YoDyUWRMBHbv3j3avn17+7e3TZs2teMHVuQwVGC7vAm7sggveQsKA4WBwkBh4NAYoNQzZvpzIqvyjiDZOXPhhRe2icIjjzzSdtRnAonn4s/4tLDwWr6yosyqVRiFNmkSlndlFBQG5hUDoQnflwliJpEMnU6q0HHEZaeRxYaCwsC8YiC8v/8+YQlHH+QIB9CG56RxR/+ZZ5452rt3b/tTFLvJ6P69cYVcAmSR8lKGuUTmF6HHlrB+JoaBYT+k7xkxOboGl/GQhnrXv0mX+zYTL44zbuSn05gzHgkYO5wyMgb7/MYSl7Hbx83is2/UHwyR8GpBAQ7tzPSN6Mr3ps+EMYwybnJk2o9//OO2Gcn1APAuni8tXKJBkDKVB9JXKbsF1k9h4CgwUMbOo0BaZTk2DGBwvTDoGVkYq/hMpKXnAhjnjh079k/CreheeeWV+4WWFTqMGUONIFMHhorB9vWlzPILA4WBwkBh4CMM4MMmiz/96U+bcROP5Siv+KtdnoyglN933323GWjsRnPMPf8oraTwekqrMoeu5+uF+8LAWsAAGkA3aCITRRM+d6LZRf3aa681HcWdg4w10lqwpbsUFAbWIgbo7OhlaGiKkQWdON3l+gfp7CYjl8wDfvmXf3m/saYvI8bPlLEW8Tor36zf8M3wS7wwz/kG8eZ4jHHiGM70bQ/SZCONZ+OJPuM5ccow3myQ4Q/ni96TPn5fxzzpNL4PjkBwGXkkThg86x/fLW3oaf369aONGzc2PfHFF19sx9nltXDHCJ3y9Ic+0KfKgl9lCZfec3Z89niu58LAkWBgfvZZH8lXV9qJYQDjisPswvCGDZJGHAbITx7pHK10qfRLL73U4jDOM844o+3wlC6rRPI5wmB3BMA4CwoDhYHCQGHg0zFAATVhZPTMPVZ4bS6id0xJGrtoTC45CjAIv85kIQqs8EwQkvbTW1IpCgPzgwHj3uQwk25fFiOMK3nyL+wWFjKRzIRzfrBQX1IYODIMRHagGw5NoBvOApsrrMgm4Rbe0BLDF5C3N45FBiUu8qolrp+pw0D6ix5hTmgji/70Hsiz8SCOfiJdD9KE/wr3nPFkfkifMWacChQ3DoyVlDMuTcYSfx4APn1nvge+Msf2fTE8w4m0wDP55d5TYe5GhVfliOv7Br0qTzpzdvHqklaflOxrKK2fY8RALRUfIwIr++FjAOPCwDA0LhAm6r1ndJ4DmOGrr77adj3kaOWGDRtGd9xxx/47rZRphdfxSytJJgpWlzBj0DPslFt+YaAwUBgoDBzAAF775ptvjj788MO2UOTf1u3YPO644/ZPMm677ba26IQnW3x67rnn2qQBz7XrE8+l0AbC173jwxRbSnOUYzIgfLqXDclffmFgnjFAZ0FvaMnEkN5y+umntwVcehOatLuloDAwbxggD8gCEB2dvIj+TzZkjiAsckLafi7h2WLcwsJC2yXtVAJDiaPK8tlRJg0DGLmDppSLrvipb97wO4vfo9/0LwcyBsID01eMk9LQV/w/AwN3/rQ27+JtevGnVXb/nnPOOSPXHtBPjIfUwae/ZHNM6ujxpx3Gn7R9vPGrLPHzBL7Tt/lW381nSAZwLyzh6SNXsMizbvEkkPT+5Z4MszkJffq3+5y4DK7SB0P8CU9c0pZfGDgaDJSx82iwVnmOGAMYFgEWZhY/BYlPGJ8Lk+NbFXLEyz2dBBqhZCXXUS+QvJir9NJkkkAICU+5qbP8wkBhoDBQGDgYAyaBDC92dNoxYwHJjhmTA7wVP2X4pPRKI60doHiuXWnu9zSxTPrw5vipzYQzrufPeU668gsD84aB6CKhCTuJ0A/nGd2ZEKI7kEWBecNDfU9hAAbIFWOcH5oIjQRD3skGDkjfv4s3L2DIEueuQPLI3IGsQlPSx8CV+QjjZ+pMXeVPDgPGQD8ePDOo6SN9F9DHeCX/Zz/7WTNyOl3C8GmeyOjpWgP9bEwYB/rfvZHGAmA8jfHOe1+v93GgHRkvfVuVnfBx+WY9zLf6Pn0B4B1uexoUTn8UbmfnZz/72WZopgv+7//+b1vMg//e2DnEZ4/D/lnZBYWBo8VAGTuPFnOV74gwgFGC+H1mq0DCY5RMHGMlZwKwb9++0euvv952dn7hC18YnX/++W3lyOoSYYUpKgejVVaYKWXHxNtqXVYFU375hYHCQGGgMHAwBvBUEwZ3CFJYTRRMIsNj8Vc8l3O8nUJr0uGd0RM4viQPnt6v/IuLAstXFqWZP1SapS0oDMwTBvqxjl6MeUDHYZxBc8LpLGjPQgO9pXSXeRoF9S1DDET3p7+HRsiEGLmSnsxAM5EXCecLt4PPBghy6IMPPmjGLkYWskgciPyJsbMF1s/UYCB9rEHGAtC36Td9r+/wSv1M93DChHHT9QU5kWKeaCzgp/in/mcMffTRR1t67zbMnHfeea0edSgr1/GIS52tEYMfcZz2JF3/PEg+k6++C23mW+EILaVf+u+VRjwQLg36dWeuU5ho+4033mg7bHtkyKOP1NODdwsR4oPfPr6eCwNHgoEydh4JtirtUWPgUMzK5BpjJJD6O1asxJkEYJDPPPNM2w5PuF133XWjX/3VX22M1FEFjFJ+5dhp5H1h8SiLd//OmAlETRiOuvsqY2GgMLBGMIDv7tq1q+0qY8i0cGSxiPJpkkGR9YzPOuKO9+LveG+OtbuY3mSCYhzXK7O9Ypz88dcImusz1yAG0A9AC5kYerco67ifyTpDJ9pBW47ghm5inOnzyVtQGJhlDJAFGeMxdpIFnLE+HO/eySDQzyuEM6xs2bKlGa3MG5wGs+vP8Vk7ylKPvDZHgN5g0wLqZ+IYSJ8bA0A/p6+FGSfmhjbAWCRyZQH+mQ0vTp7gofpc39NpjAPzxaeffrqdPjFW/NeDY+14qzoZOxnJAf6bOjPehCes98XHJVzaeYDs5Ayd2KUJ4EpY6NR3x4kXbj6/bvE4+6WXXjp65ZVX2vVycN6D8s3N+4UN5eoPuuO84bP/9npePQyUsXP1cL3ma6JoYFwRZBgasHsTYwxTDaIIM8Jp38e7Ou1ysKOTECLslCMMmGh7dzwh5ajP6px61CFNjrKkjvILA4WBwkBh4AAGTBjshsE/GTTxTAYYvjD8FC+1mOTdDrQsOFFoTRbs7HSELPnwZGkDeHVkgWdOPL+gMDCvGEBb6Cdj37sxj5444Oh6Fn2jI9F3TC6Fm2zWBHBeR8ja/S5jPQaPLKodLjbkRUvkEHlE7qArer8FBHSjTPFAeu8F040B/RSnpfieuaK+1rcc3qh/zQWjZ1icxSfdH4mv4p2MovIaHxZxzQ0tJskPoutkR6fxo255+jbQU7RjyIOH763QGf/xTfAA38ETA2R0NbjRB+L1gXB4lIfz7mSQ+1ItPtg1q0+APKF3eaQFKTP55xGv7UPrZ1UxUMbOVUX32q0Mw8LYxgEmSvHALAkVID0lhYDCJK3cXXjhhSM7hkyklYVBWhGyc9Pk3GSckBMOpMFoCTp/AGByLj0mWlAYKAwUBgoDn8QAJZTBEq/Ek2OwpOQC8SYQfGnwWLs/pf3GN77RdneeeOKJjSdTXPF2BhxpA/g7R8GVBk+O4iu8oDAwjxgwMaTjRBdCQ8a7nUccWjBJz8QxdCIfHYZ+U7td5nFk1DcZ66ELdBCHXnqZ0BuegjUyhkMbdvKZC3in+5tHCFdeD2hvXFl9mnqeHAbSN/rNMzAOPOs78z58kTNu6Cn4I0evEIZn0lWMAXNEOghdhM5i04zdn1m0VS7ea6x4ppPw1W8sZfxog7h+TPbPk8PYytTs23w7WoKPyCY49g5/4r1zMVwGR4zH8H7fffc1vVKfAHmBPEnrXVnK1H/CCwoDy4GB8dan5Si5yigMDDDQCwSMLoo/5shhbmGsfHer+JdfcVdccUX7F7f8kx7miUlKh/la1UsZfbXipaUAAXkKCgOFgcLAvGIgk7jwR+94bfgs3svhjcBkwKIS/ouPeqf0mzy4kxPvlDdAAcVT8V0TA05ecOuttzZjp/LuuuuudleTiYUJhkkIUHcmD+HPlFt3bSlLfaXkNlTVz5xhwPjOpBldolG05ZqeZ599th33u/HGGxsNoCm0AtAbWkRzods5Q83Mfk76KL4PSR/FH/dxeCC+x89OxGG68EnjpOeJxhAnrA8f5p+1d/jKPEDbI8PyHeL77w1+haENAC8W38wZ9i2eCnvyySdHJ5100uiCCy5ouGb4koZMki9lpI6UrP3ZAABAAElEQVTypwMD6evoC94TFp3D/NCVO3QLf4yIRzJiOlViF6H+tXszx9ndRb5nz552BN4VZ+6S3Lp1a9OP7Dg0hriMsdTHD6zFMYMm4VhfoEkAD2RXcJNwYdKJ51t4ADYprVs80k4Xfe211xqe0Wn6V/oet8pN2a2A+ikMHAMGyth5DMirrMeGgShsUeQwOhAG5/63HTt2tHtVLrvsstHC4j2cjh8QdD1gxJRFkLx9vPLDcMfF92nruTBQGCgMzDIG8FWT5CiOjCom1d5jQJEm8VbsY2gUn2NhlP7sMgtvDl5i/JRGnsCmTZuaoeaBBx4Y7dy5s/Fldak/QLkVRulNfm1wbQnIwlTSl18YmBcMZCKIJtFo6IhRxiT84osvHp155pltlyddBa1w0tFjhJUOM32jIf3EB+Gth2pp+KKxgM8Oeay80oSX92UlfN7GQsZ3vit+vj3xeY8ffMMVuWLHnqOzdpE99dRTzVAjr/4hazxnB6AyhA/rStnlTxYD+sV4B5kr0hs8v/XWW+0eSMZsekP61R3IjNrCGLUZQBcW54/Z6Zk/IUJ3+h4NGjeAPtPTonrW+vgI3uEndBIcxU94jy94826xDk26J1WY+1UZphk7Qfq3vSz+hJ7zXn5h4FgxcGCWcqwlVf7CwGFgAKPjKCUYHBdFngAz0d69e3e7WFw6/6a3fv36dr+KXUfSjIMw2nFxwj4tfql8FV4YKAwUBmYFA3jmEPC+nv/lXVpKPv5LCXV0He/lu+A/OzLx3Ci0KTvlxU+4CaR8n//850f+DVUd7l3m8G8LVZnYm1SYYOQaE/HCTFLUqV3DelNP+YWBWcRA6MW4Rnt2UYe+0A7aMO45afvx3z/P4rfPa5vTp/33LcWH+zT6kxEgi0XyRC/u0zEWDOvI2BiG9/lm+flovit54BFe0ROHloSRawwuwTtfnnF9Ncu4m5e265vh2E9/6Ttx0Sf4XHQG8Rx6ol9wdA3zTeHGh/w2wUQfwY//n70767HtuOoAfr5AJCBKPF67PdvXju14iu2YkBhChCCAFAmJPINASHwGnhHvPCAhxAMCEolBIpAgISISEttJHM92bF/fez07Dgog5Z3+lfnfu7x9utPD6e4zrCXVqb1r2rX/VWvVqlW160yfFyzTt3K/if5OGMwLTxgfpsY4G5LwH35jjBaGatrca6OEj0T90wgcEoE2dh4SwM6+PwQIOoOOgcXA496AQ7ghK25f+cpXZl/72tdmv/RLvzTO6fQZgi3wBGVTI9AINAKNwN4QqMompRMlzATAOYGUfavs57Z3l5G7dmH6R1u7InwaRj4nb/LvpIiauCvr3nvvHcZNnyu9/vrrM5+Mkfn5lEl5ZL7nM26qg90Xdt1QhD3T8zMujIr3TyOwBgjgnRj6LQLo/3SbG2+88cIfZkhj8r4Tn60BDGv1CtN2im7rJcUlPr5wMpCcQ9JzOYcwecQz4EwpxoBa3jTNJt7DAzYMKeYW+Mq44t7O6Wu2P6M1Btnt19gtdw/RPniE05ZImGs+vnAepEVVC6yMaeQqvUYe93QOX4y4Z+C0uCQNvUYf8Hm7vsGZlyq3dY7F9Qt4whv+FrPxIjlHJyTb0q6RZ2lj9zVscTXqkjYVgTZ2bmrLn8B7R7Bl8MpKm3CDkjNTCEGrcQYijkA0aFmhNVgRnk2NQCPQCDQC8xGInE1sFPip7MzkmlLJsEL++ryIfLbTkwFSOGVVmkrTshInr4kDeW1CYXKBGDAZUeUz4STjyXzpyXh5QiYxnrnTM5Ku/UZglRHAA/40A2/gNTyXCbr3wsfNA6vTwmmrqfyt90kzfauEk7NkovudJvvKi1NO8k7L3LT7irPxw72xxaKZ+7fffnsYXBjGYCa+sVuNXlLb1nXu6SfmiXiFfsGw6bxOJJz+wfgpzkYaC0uu8Vh4TdqU57rpaBAwxuFF7ZC2MAZqhymFL7VLrqdp+r4R2A8CbezcD1qddiEIGGgIMZPdrKbxGTodNu3PLUzEP/zhD48zPUyandXZgm8h8HchjUAjsOYIVOWdMhnjYZWhJgEmB+IpoXaZ+aMUk8Fbb711IGQ13iJTFFL5uchw11FYKaWMluIyyXRvp6fd+spXzoMPPjjymHiYrDDwyIP4KaOV3AFJ/6wpAvSf1157bfbiiy9e2PVC58GXDP7d/1ev4WubRVZ6C+GRofPeSnzSSFddTa9MujEXOVzjN/kaHgh2xhXjlq/C7P7Da45oEW6xDdW2GgH9s7QIhJe0Wb2mW5gb+iLEVyLamTHT7l3hFm+F56xOZ5PTO7LAml3T4b/uE0fTBeBql7XjkRg6nbWqfcz76Xviq3yMPqityboadzQ17FLXHYE2dq57Cy/J+xFalHhkgCHMrPQQdAYg5+n4Z73vf//7QzmhkGxtHyhNOZEG9UA0YOifRqARaAR2RSATgiQiO2uY+yiY5LLPJ7lMFBldTByiiCZv8mXnjPIT51o82c5nxHQAvcmmf8Q18fBvqI888sgwgAo3IZXes/LHEWS+MaIVXIg2rRsCJm/IpPuNN96YvfDCCzN/7HXVVVeNhQYTQPwVwl8hfNW0PAhom2mbuI/T1tP41F6ctib70sYpj+yLjLWYJF3KElddyttkHzZwgjVsMm7ln7jNMV555ZVhYMk8RHokfdPyIKAtGSyRdow+4T68lDZmMNOOjGe+TLGTk0+HML9kWLPTUxn5MlCfYHTj6CAI34UHR0D/LBwBhmkY++Nh/OirBkZoC+3Txb20c9qEn7CFV6wL3AgEWspvRDOf/EsSVlHsDGYGKwOSCbGVN7t+KP3O1THR/uQnPzk+61LzCLyTf4uuQSPQCDQCy49AlZlVSSR7E0cGmwS4N7kwacikwCSDfK47QpNPedJxteygIh2nfLtELVxRaIW99dZbs+985zvjk0KTjxh1PNskxRjh2VPlN2W33wisAwL6O57zFYtFAMc+mHzjE3HhtfDSOrzzJr0D2Uc2Tv2KAVlsgYnRm5Emn9xq88hYafSHpIucVk5kcy1zU69hBquQ8YPDV4wsxhQbKhi/GJeR9DVP8rZ/sgjo7+aEFj9dI3xUecm1NrVb0PEfrhmx8ZJjQbSzr1Y4BjW+OO1tzqlP0E18uYLSf8J7I7B/FoqA3bRwpzfS9bQxuRZ+zMPIvqleOb1P2vYbgb0icHH5eK85Ol0jcAAEorxVQUbooccff3z2/PPPj0HJSptDo7e2d3Ua0AhCSotBT15hTY1AI9AINAI7I1DlrFTuM7mLkdJk2e4HOx+stpts+5MUxklE1lL+yd5MOkwqUC1fGlQnCrmWXto77rhjxNvJ9h//8R9jknHXXXeN3RZkPCOnenlmxoVRaP80AmuGAF4ykc+E3GTcpJ3eg2/waXgqr557futAQWU5/LQNOVep3uc6clQe11nsSRkx0sWQSRaKSzptr3/Im/DuDxd35sEE1sHb+MaoZYzDcwxeDCwIhkkXv7ZfX58MAmm/ab+ethHdwpcjDGh2CWp7bUye0insHmTkdC2tdPoD50+NLC75wxwkL8JbFhQ8Gy82LQ6B/AeHBQi8hw+1kbbhKt5pj8U9vUvadATa2LnpPeCY3t9AZZCpZGAxqPzDP/zD2NV5//33z37913/9wr+SZtJr8KGk2AlEKE4HvVpmXzcCjUAjsMkIkI/TiULFI4okeUoBffLJJ2df/vKXx2Tgc5/73JgISC9dduNnYkghrfI3z4mBJmXz5RFvov4rv/IrswceeGD253/+57O/+Zu/md1www1jAiqNZ0hjV1tkfq1vXzcC64SAPs/Q6Q9T6DV2JDmX3OTbjheu8ph3x0/cNHydcFnFd4m8S93TPlNfvLTZmanNycZ83TQtJ/JUOdIxECCyUl6+fiQ/13QRgWAvxBjnU2dGFWML7PAegxhce7y5iNuyXGkXc0XtuFv70EVuueWWkQYv+DydYZPh06KqnbwMavqArwVPnz49Plu/+uqrx5mednVmESHvHv5SB/G1LyVN+wdDAJ7m78Y67YsXHS1BftFD+ZGD5B/SDtpAeLfFwXDvXO8h0MbO7gkngoBByWCUVTcC0IBk9c0AJDwDHUEX5e9EKtsPbQQagUZghRDYSTEUnjhylZw1AbcDguyNy6tG+cz9Xvzk8RzXJiKIPDchsXNUHEV3a3sHv4l8rVPyy5Nw102NwDogQJfBcz7jM5nzeV90Hf09zrum/1eeWAcM1vUd0k5pt7xn5GA+28wCvj7gOvn0B/ovowCDgAUg12Qk44742lfcN1380mCKu3t4BUN4WWCwoADbpuVDIG2mZmnP8EfmgQlPGrzCmCadtpaOkRO/SUvvsHseH0mLx2oZQUGY/tJ8FUQW5wdv7eIoARj7moj8i44ojTbUfkkff3E16ZI2EYE2dm5iqy/BO1M4vvrVr45/YKd0OJzfzs5PfOITQ/D5HIEwNCgRfFbc6jb3JXiFrkIj0Ag0AkuFAMWQss6Pwh5lcRpOwSRnLTo9/fTTs61tw+O99947fC9F6Yzi6T7luJ6SOC55XHs+Y6rnmGCYaJDxnunszj/90z+dfeELX5h95jOfed/upCx0pf7TZ/V9I7DKCJjcOaP89ddfH3zh83UGT4RHY9Sa8hs9qHliuVpee2iXqZzUjiHxnJ1M2l37m+T7M85//dd/nT3xxBNJOuSgBSfHOV133XVjN7zr2267bRhslOuZ075xoYANvYBJDFjaIvjAy64xxi5HtDCEObJF2jvvvHPw24ZCtrSvre20U6XwGN3BtXblks7n7DbL0DPITzt57d7Fa0i4eDpIdhjW8j1Tv9GPlMlvWiwCmb87OoBsg/OLL744ZJ35f/hW+9IBw8/h5cXWpkvbNATa2LlpLX7C70vh41577bWhdJw7d2720EMPDeFH6Y+ir5oRcgY1q0GEX1Mj0Ag0Ao3AzghkMpzVcvdR3snSyFW7Hky+TSAYW0wKrbhH8Y/yT+5SQFNGlNJag5pHWvdcrYv6mHA4v9OOJueoMbT6kxZlqhv5nzrU8vu6EVgXBCzc+pRWv9fXTfRi7MQv0XNM+MI/3h2PNC0vAtonspEsC5GH2pzMI+/iu6bXXn755SNp2lcYWamPSCO/T7HTR8hIfYNzHYNPnreJfsYa7x4cXQvXFvjs+uuvH18w+MSZ8etjH/vYiJeuabkQqDqEmmlTYVz6fmSl9iUz8YF2jf5An8FH8orHP9JEn0l50ZPSh6q/XKisZm3gz8GVs5jjKAHy7fz588MozSYQklYbS5uxMHHtNwIHRaCtRwdFrvMdCAFKHyXfroZz24bOM2fOzH7nd35ndvfdd184jyiGTYMYgUehc10V/wM9vDM1Ao1AI7DmCESpJGsp9BTGqeykUDJyOjeQomnni10P8iL5ELnL5Z4vjbApCRevbOTes/km+J6TSaedpHb3233BJb06cOrb1AisIwL4Up832XNOZ3YkeddM4F3HmIV/mlYDgci+WlvGFLKPvPVP0XZ1nj17dnxi68xBuzZjlHGciEUo5ZCx5CZ9WX9hJIjcJTs5u9Tox91H3htvgn987QAbRrBrto9Pefnll8duMucD4q+m5UNA28VFD8AfdAu+dgu/aFf9v5I89AxxtZzwjnJSBh+/KYMxVBr5m58qooe71gYwD/5klo1NZKIduI6U0A7SIb77tP3hnt65G4H3EGhjZ/eEY0WAMmei+73vfW8IM4q+TxCcp0L4cdPBxn0LvmNtpn5YI9AIrDgCFEaGFTSdEAgzWbbDXjor7f61NkThpPBHFvMz2Uga8XEJ4yfvdMKgjCxkmXj6wyJl+pzTmc3+ITXG0VpeXzcC64JAJnL0IMbOm2+++X279vCISSG+iC4krGn5EdC22m3aXgwzPqfNjk7tbpGffPQ5p8/UyUX3/lyFk4aB03Ef+oNPPxnoGHH4yHOmMnb5UTr6GmqHOBhxDFl2dlrc4+CmXRq/o2+PgzwBH6Hwknbi6DHaNsZO14ieg8cYOJMuvOheupQpfcpzjdynr7wX0r+LQCC40zFhTJaZ69M38aEvi4yF4kPyuKcLpn0T134jcFAE2th5UOQ634EQ8FmOszofe+yx2ec///nZRz/60bGTh1CLUkLQUfR9cpDVoAM9rDM1Ao1AI7ChCJChdi2QqyYBlchbK+p2GPncyyd9VtuFmzTE6EhBRZkckM3SmGyQzUlXy64TB5MQeUzmTdLViZH1nnvumT344IOzv/iLv5j93d/93Wxr+7zQ3/3d3x3xym9qBNYRAX0bP+A9kzznlZv4hT8zIczk3eR+3kLFOmKzyu+k3bRtNajkfWLsJPfov3ZqvvrqqyM9HVc+Rxm4Jou1vTScoz7IcOHkrZ3A5LR7fUeYZze9h0DaAOac8cnYg78Ylp2PajcZEt+0nAiEj/j6ePhEW+IP7ZrFIG+At8jTLATYRU2PkU9abS2fe2XwkWuOjhRDqmfqR/N0m5Gpf/aFAOy1lXbkyC0y7KmnnhoyTttFr4Q7Jw/nuqkRWAQCvWS8CBQ3oIwIoQgfAwIBlUEpEIgXNg13b2XbqjXh5t4KD2OnQUU+SlsrbkGy/UagEWgEDo5AZHZKmN5TQBldyGKTZ7tfMmlPnqlfZfS0vKStaRJmMpGJuXg7lMh/Ew31MDZkgkLJDambeBMVz0N84VUhTlzytd8IHCUC6fvV3+156bP6LUd30n/pPvl8Mn248k/CUvb0PuHtnwwCtT1qu2njxPG1NRnGIEP/JQtjZFFzcfoEI4z+IE4aJD/ZSFYz4HhOlacjUf/sigC8YMqgBVeYwpJrWl4E9PVQ+Ev7xWlXFJ5Ieu0bl/xJl3KSJ2UlPOlqvr4+PAK1PYx7kXVKpv9Z1AnVtkhY+43AYRDonZ2HQW+D8lLEOAMDhcG5Q1aeTVqt1Agz8EjjExz34viIkfOP/uiPxrZ1K6y///u/Pz5j9Bm7SS+KwkcQchnIojhmcBqJ+6cRaAQagUZgRwQymY4MJpvJ2OxqsGvou9/97viDuE984hNjtZ0sl28ekcfZOZF4MrkSuY0S7tlc7uVXfu6dWWeHv082v/71r49P2X3SbhFMWsaBJ598chgAbr/99lGWiT8DKOWYAs1Q65082/jU1AgcJQL0EUYSfS8GS31c30u/9vxM7mLoki8GL/1a/82fNei/4pIHjzB6IfmUwSlfmvqckah/jh0B8pQs0nbaP75wurF78jRt7pz6v//7vx9t/sUvfnF20003jT6gjOeee27ItIcffnj8a7h80av1K2d9SuO8O3Iui0N2LKafHDsAS/hAYxSXcShVTLidsb4ogJ+jtJxV/elPf/rCzuqkb//kECDb8A6aJ+fwg7mlfp94R6GRi9oZicMbiRdGn3Bfw1zj3ZD7ad9JXPv7RwCekYuuOeMemefYoj/4gz8Ycu8rX/nK2PX+uc99buDv3PbW5/aPd+fYGYE2du6MTcdMEIiwEpxrfohSzhmMoly4Z/ykrDF4UvxMTv27JMXN9XRwUab8texW8INy+41AI9AI/HQEIkczAZBDWHZKUjgZUMhrkwMGFte7UZXJ89JN43PvOZHh9RmMPddsn9/pbDr/kssIdG77j+ukdZad/OpFYU5ZGRuUkzLn1aXDGoHjQEAf3AtJZ3eehWLXJt/6dfq2ME4/17fTv+lQTcuJQGRSbTs1Je+0m3AUGWxXJyNMJvIm/tntSTdmRJdPuYwwMaqT2eRgLS9ycDygf96HQNolgbnHczZYIPMSpK2alguBtNdOtRJf08ybQ9Z45Uzvdyq7wxeLwLStIsPwIh3PIpCFdwveiFwj+1q+LbYdNr20NnZueg/Y4/tTvAmtKG0UdIZKClgGGiva0lh1i7JOmXvllVeGodMqqsmtnZwUPgIt5aqGspMvz9lj9TpZI9AINAKNQEFgqmSSqWSuyTXFkmy2e4gsJs/J3qMgyq1Ju8n81KBq4mlybwyh8DIEOc9Z2nw14I8lxKu7d0pdM/kXl/HCs6RpagSOCgH9C69k0pa+N31e+qH4pGFg4eSnC+nTKUd+6cQlL19YGzyn6J78vXYyYdd+aR9hKO3nWhhZZUGJTCOvnBupXd98880Lsti9TQFIHyEL/YGca38eR3/WX1BkoDxNe0NAm8BNG8DW7s7gubcSOlUj0AgcFgEyiyMXyUKyk35oQQfhU+FVhh72mZ2/EWhjZ/eBPSEQAWUV1ESUIKpGTQKLsCKkogBSAu3m9PkN5cLENrs6KfrSZQIrbRQ3fhV04uL2VNlO1Ag0Ao3AhiMQmR1ZGrnK0Gk13S4zMtkOe58NmQgm7aKgixHAmGF8UAcTf+RZJvDGEeEm9saJZ599dhgGfM5ufOAj+eUxxlCUjQnuPSPjg/Ep7z0y9U8jcAQI6GP6HNIHuXkkXFr91TXjll3M+rBPaulAoZo2/VlYwvlNy4OA9tCOOR5EG3Mo7aYdpWHopPvGwG1hh0xkyCTXyGCyzrWwbBzwh0bnz58fxk4Gz/QX5bac+2BfqDz5wdjZWNjzz/YMneYmcO6dnfOQ6rBGYDEIZCwjr1DkJllG7iE6Kd0v/Etmuu4xb8DTPwtAoI2dCwBxk4qgoJkkE1R2BEW5i7GTgDKZtWuIQuHTRMZOCoUzOij4lA2T7Bg64UeoEYY7CbcIwU3Cut+1EWgEGoGDIhAjS5TMlOM8Of/CblJNFjM42uFJbk/TJs9BfXI7SquxwjhhbKDMkv+eyTeRNz4wePrUkzH2hRdeGI/1T/EmpXZDSUtBjsFU2eqsXGMTn9F20e9x0PfvfOuDQNVB9C+6iv6GdtJbEqfvS8NwpY/TnehCjGDKSHzKEZbw9GVxceOh/bMUCJBNdiaRO9FptVnaTRhDJznrs03tSvZqc/KXAZT8k05Z5Bh5jLS340akufrqq8eiFKOAMvRHenhk4VKAccKVgAlsKv7BkW9hzRFaDJ2vvvrqGIvgjeQN/42A/mkEGoFDIxCeVBC+xGP0P2MgmYjIQ3YFaSvlvvmyotLXB0GgjZ0HQW2D81AkrD4TVgRQhBChxKBJgUNRAClmVrGR3UOEG8UvhtLkF5/r+MKaGoFGoBFoBPaPADka5VLuyFWTZ8qlCbrJXybMkd37f9L8HMaEOM/O87P7UpxxBKmH400YNLOglnOcUgYjqfEnO3FSnvzS1DhhTY3AUSEQQxZf30P82ifrs9P/7WBxjARdKLv5kpdf88dok/JTRi23r08eAe1D363ys7ajcIZQRkm6L7lLlvHJXjoxoydZ6DN2+jXDpzjk3rX+opws6niu+9363cmjc/w1wDfwn4cLvLQBPI2D0knf1Ag0AkeHAF4M4TnjZgyewslDcm5K83h4mqbvG4G9INDGzr2g1GkuIEBIUcRi7CSMMvm0+kyQcSat/kX3pZdeGoLNDoabb7555p/YKRyMnZkwpPDkzX184RRGflMj0Ag0Ao3AzghEHpOXMSbW1D6lffrpp8fuoTvuuGN2+eWXX5hYm7RH3tY8B7lWTmQ2+Y/cGzNMNBl+GDnFmciri39hF2YHnLGDAiwcGTe46bghLuOScWJevDRNjcBhENBvORTDVvq3sKoLJV44iiHeVy7vvPPO+Cfuj3/846Pf49f0W31XOfq9CSA9iZHMc8TV571Xcv+eNALaT3tpQ22nnbQZPwZrxjXHcfzCL/zCMHbb3Wsn08svvzzOtKdTy+t8e2VdddVVYxeoHZ7OLP7EJz4xe+CBB0Ycmc7gKV33iYutH/7LTk3YTMk4Y6EhC2k2YzAwG4Myvkzz9H0j0AgcDAE8yUUOKsUYhtfIS3KR7PM1D55kN4g+KG3yT8dTcU2NwH4QaGPnftDa8LQED0EVxdw1IZYJMgXPPSK8CC6fi5i8Wk2luLmWfz/CKwp+/A1vhn79RqARaAR2RSCyWqLIzYQxNJpoUyrzZ3GZGC5SuVQW4it/+gyTdWMGY4EJvEloPtc0bpzb/ld2BlGf3YuXn2KcclJ23k94rvOuowL90wgsCIGd+pXwOI+q6Vzr4/QkehH+048ZXupiRPpu8tOl5EXiavwI7J+lRSCyKO2noib4PmNnwGZkY5TTFzj9Q3s7o9M1Ocg4Sj5rd8c+KZNxAElLhxZX+9qI3PAfeFTcKxz4DobGPgRrx21ZWNjPnKSW2deNQCOwMwJTXiSzIh/xnDFQGHmIF8XlGI+WbTvj2jH7Q6CNnfvDa2NTR/EmiGKwJKAoC1lhNnGNwHr77bfH2VQmq85cI7zyGc5U+CkbKY+bUsLiT+P7vhFoBBqBRuAiAmQsWc2FyGaTPQolh0yoyXPp5CGLFyFnU5bxgav1EBfHAKReiNKrLtdcc834ExfGT5/8/ud//ueY9NvdZNEsZSkDzRs/xC3iPcYD+qcR+H8E0uemgKQ/zwvX/32yrK8zqrhncGHIEhaq/bVeJ56/U3hN09fHi4A2ifNk1zFiRzaRWcKcS2yhKff0ZAZwci59gSEuu5vs8FSeMz0rMRJk96j4pvcQwIcw34lP4QZ7/MfhRQtreNHYyBDd1Ag0AkeHAHmFByO3yDF8h2fZC5AvfMQnjbhcH13NuuR1RqCNnevcugt8NwoExYCyQEkICTNZFY4o9f5t1B8TcYTU6dOnx0p1VqmnQksargrAlB9/mifh7TcCjUAj0AjsjgD5ytBiF5HJtQUqk287jUysyd7I4UXJWuUZH0ziPStjhPI9L/fSuJeG0sv5tN4E3+fs3/72t8efuTz00ENjQpo3VT6Kn/FDecI8Z1Hvkme23wikvwUJ9zGwpM/xE54F4Bg8xeE5ehQ+1F8rpXz8Uftvva7p+/pkEYjs4iPtxHAW2SdMm5JvjnEif7W9Sb5+wNfW+oLzO20KOHXq1Fj02draGhsFLEopg1O+9JGfym+6iEB4MVhdjHnvuBP3cDcfwZOOdTHmWEiDfVMj0AgsDgHyKrpZSq1jG14k96RxpET4Vz4OxU/+9huB/SLQxs79Irah6SkOhNBU6LgnpKJ4UdicSWWFRpidOv79cPrJFhiVh5Td1Ag0Ao1AI7AYBCKnM+HjM3ba0cn4aLJNNts9Wc/BzIT9sLXIuOC5MT7WMj3TmCBd0tZ4CrAJvzqfOXNm+Bkvki7vWMclz3PPz5iU9O03AotAIP2ulqW/cXVSpx/iNTqRz5b1ZUYV/ZIxLDQtL+XkXLOka385EdDm2ooxc9qWtT+ovTRkm51LjJxb28ZMfYPOzChOHjO68clHX0QpG0mnPH2Hrx9NnzcSbvgP/kHBxn2uAw3sLfQZDx23BXO7aJsagUZgcQjgu+qU7D486p4emuM97LKejo1T3pWnqRHYLwJt7NwvYhuanuJeJ5WBIYIs9xR7yoNPdRBB5p8mKW1ToUXgVaGXMtpvBBqBRqAROBgCUzmbUhhbyGXGRwolg6dJdWR45PFO+VPOXn3lKDPGx+QTbgLPMQbNG1cYBCjAVvpN8u2Gkq5S6pnn1Lg8M2lqXF83AotEIHyTMmuf0w/pRIwq+C9GsUzoalr5ow/FkBU/4XlG+8uDAMMjI6a2qqRt44S7JnPTB5zDmX7grE6y0G52OnPaO/3D5gEyUF5hyVef19cX+Sc8Gfzc5xpOcLRb1vEBzoS2yxOfNjUCjcBiEcB3lfempdP18KKxEj/Ok3/TPH3fCOwXgTZ27hexDU1PkaMwRKGLMuHeqihF7PHHHx+TU/8wSbj5F12rpVZRI+ySD4xVCNbrDYW4X7sRaAQagUMjYPJNzubzWDLa9X//93/PXn/99VG+BSgTa4qmOPJXHnkjqw9aEeVQXGNUNTFXpp1LKT/yXt2EmegzxAoXxgjrfDv3+bfc733ve8MAamLqDzwoxcmf9807JPyg79D5GoF5CKTfTuP0O6QvcwgP5BN2/zRLR/KVC0OLvhsKTyjDZ7WcNPQmpJym5UWAoVMbaicGM31E+wkj+7SrOOHCOG0rPM5kH6XNpa1EnnlOnDKmaWr6Tb6GS1zaJG0RzMxZ/JcAQ+eXv/zl0Q733HPPJsPW794IHAkCeK7Kq8g8Oh9Hl7vtttvGsXeOwJPe4qCFodbjjqRJNrLQNnZuZLMf7KWrwFICRUIYR4Dl83Wr0D7BsXKdg4anT5Q+igc/19N0fd8INAKNQCOwPwQiU8noKJeMKHZJIkZOyiSiUIYWJYc9l8vknNHHPfKMjCWpp3Bp3KsvIwGDgbOcGAKEG1/Eyav++SQ4efLMjEnKbGoEjhqB8Jfn6Ish4fqkCZ1dnc7L1W+56c685LNAgA+yQKCsWn7Kbn95ENB2ZKi21n7kTyiyKW2YOH7klTiyTtr0g6RPGN8z6uRfmqTP8zbdDx7xYaRNpoS/zE+0gUW2+gdR07R93wg0AodDIPyYUiLfjI0WeOh5FgTpeMZJi0Z4NPIy+dpvBA6KQBs7D4rchuUjdAgsigPlgCCqwshE+uzZs2NFxmopRcKuzq3tM4kINgp8JtVR0iIA4wfSCEI+yrMT334j0Ag0Ao3A7giQnyZzkdsUSMZO93aWMRZWihyOX+P2c+2Z2aHmOQyeZL9yE87QykWZFedaOhN/dXdvHLnhhhvGP+Z+4xvfGItn4hyLwoWEeT/jkzIy1iS+/UbgsAjoo3EpS7/jwmfiQ8JM5vRLxk5On7WrDE8Ilze8kfR4JDv8xMdYE15J+e0vFwLaT5tqpywkqaE2zGKPa31Em6c9heVaOk45fP1FXyATI9ekTV+p5SwXGidXm8qDsMWDKNi71j52WUvrnEA8Ce+mRqAROFoEwp/GNWMdXvSlkT8Ks6OTyxhonGxqBBaBQPekRaC4AWVUZaxuMSe4xDGAPvfccxcmmVZqtrYNnc5ds1JD4ZC2OrBF8FUIKSWUOX7SzEtX8/R1I9AINAKNwHuTOjiQn5Gl5K/dK2+//faQ0YyIPgefUuT8NHy/9yaOjDsMquqgXDKcgutzXvcm8HmeOItnlNsYejzTOHLzzTfPzp07N3v++ednPnNSd5/g87MjKoYGz62Ghv3Wu9M3ArshUPWQyl+uET9pcq1vOkKC0585fR1/pM/nmfLgEXkQ370ywytJ2/5yIaCtyFkGyPQH7Zbw2o6Rh7VN5ZFfvyAj+WSZPhKXN06Z69ovYMEFn+Dp/cNfwWLq13j5YMWlTPHGGeMHozJnjsLAgqSVppaTZ6Qe/Jom90nX/tEj0JgfPcZH8QTtFkcm+tLBp+w/+MEPxhjpCCO8SBZK19QILAKBi99bLKK0LmPtEaAkEE6UEMqYnUIEE0XeRJTwcvbNrbfeemHnkLRclIMoEfGnoAmXPivZO6Wb5uv7RqARaAQ2HQGTtexSIUORCZ0/jnvxxReHXL3uuuvGzhZxUSjJ2TjhByVlmKRnB1vkN58hUzifjA+5NqFPfdXJWMJnMHUsyunTp8fOTp87+YrA+CNNSNq4hLXfCCwKAXylv/FD6dvCEq4PmqghupK+TjfSZ907lkFY+rf0qPIHI77yxAnPc0bC/llKBMgv7ZvFlrRZZJs2l4YOnbj6IsLEkXd2dDIAZDGnpnOdMqsMnaZZpfvKP67NKap8x0/GsPDYTu8GQ2MIP2mDe8Uc7+VPn7a2N2XY5al885h8Rit/eNPz3HOpW3hcWa7zvJ3q1uF7RwDuFXs53acNIodzP0279yd1yuNGIG2LT8lLX//QCbWl89nxJV5dF9l23Pj28+Yj0Ds75+PSoTsgQBkjmOzutJszO2lMpK3M2C308MMPz66//voLg1WEFr8qHDs8YqTZS7qd8nd4I9AINAKbiABFkkw2GTDpJnNNxEwcX3vttdl3vvOd2Z133jn+PI6SKa00MTIuQu4qz4Sdm5KJJzcleUzsQ5nEqJedcO5vv/322auvvjoOsvdO99133wWDqnzSeO+e+ATF9heJgH6l3+GRqcFKvwvvhAc9Gw/gQ4bOM2fOzD772c/OTp06NdLivcoL8ie9MvRnJJzrfj3gWNoffYKbEhkW+TqNm95nB+c82VnTkpfcOpB+HbkdI7/xivEx2LmWBu2EJR6BSeLxjzD8Fx4KXniPUYVh85ZbbhlpXPuU1ngD/zxbnvCjOpj78I2f2stzlJdn8JsOjgCsq6yDZ8JgHbkoTHuLT5sf/Kmd8ygR0Fbhi7SlNrOLEyWOjoqv3McdZb267M1B4IMj8+a8e7/pARCghFj9NMjbbfPEE0/MnnnmmbFz4VOf+tTsxhtvHAZPgkpalElsBNoBHttZGoFGoBFoBPaAwFTOmoiRxZTM7HKhaC7zZDnvwFdPk0//2Knexh+f5P/whz8caFxxxRXDyEBJNrE1NjU1AkeBgP6YvpnyE1bDE5Y0jCMMpfqmvmzCzjCWyXrS8eXFq7lOufPSjkT90wisOALp417Dtb5O1ifcbkrjmDBjWD47zziGr+o8Q/7wS8qY8hT+yzxGHOOnMcWu2mne1Ikfg3bKrXEJW/HmONHqVwyn12mXVFA8R75qwxhDtWvtP0nf/skgsFM7arPEaS88zA+/18XAk6l5P3VdEGhj57q05DG8B8FECJls5t/WTTqffvrpccaQs9UcNGygMehQThCBFYF2DNXsRzQCjUAjsLEIkLWRt2Q2ZzJgokA28xO+zCDlHdRRvZ3/7HNg4Yy3JrxcDEcUZe9FWW5qBI4Kgdov5z1DPIfPUPyEuc910s4rp4btNV3N09eNwCojoM+HzCWyu5OMd+0ILeNCjI/V2Fn5SxnyVEq8sUIZFiLqoiAeDd8mX+4TV+uXNO0vBoGdsBUeV5+kfbUhPSe6TusBFaHlv8ZXWQCM0Xr5a901XBUE1uM7iFVBe8XraZAxgNg9E8XCP68/++yz4zy4Bx54YPyZhPgoF/x5g9OKQ9HVbwQagUZg6RCIrCWnXZO/DIMWpSiTFqnsLBOH4i/bi6h3Ji7qZkLqT4kuv/zy2ZVXXjk+dXrllVfG2GMBDlGUM/HN+DMi+qcRWAAC4a15PJO4PAb/mbDpw4wyrvVJvJdzPPXp8Gny8dN3U2b1a7q+bgTWEQH93QYJvII/kGs79807xPN9AitcWryEKq+4roQX8SEyFuYZztA1Z3Fe4Ouvv35hB2ny48fwpLzGGM9P3ZQ1j4+lbVoMAru1qyekDdIOabvFPL1LWSQC2kZ7ocpbeBhP4y1H5GUhe5HP7rI2F4He2bm5bb/vNyeYKAjOtEGUhygIW1tbs09+8pNj5ydhJS4DlHw9+Owb7s7QCDQCjcC+EYgySaG0W8UZY/7Ux72JXT0TKUrnvh9yxBlMStVd/TKxVG/GTl8QeEf/zs5/8MEHx9mdquQ+CrTrpkZgUQjoT/rjvH4lrIabdNt9Ft6z6wgxdObfZrOLpeab1jVxU3+aru8bgVVGIDKb3Mdj5hmVpmf7MXJy8wivhF8Sr3xzEmXHMXAiYwpefemll8an7A899NCFRTPx1UCq3GpYFS8sRjb3TcePAPy5yNmd5PTx16yfOEUg/ImvwpPS4Hn/+YGvf/zjH49x0p+0NTUCi0CgjZ2LQHEDyohgiuGSMHr55ZfHrgUH7l911VVjoBGPCDTKvHt5+QajpkagEWgEGoGjQ4DsDZG7+TxPmAkeuRyFs6ZNnmX0M64YQxhsfVHw9ttvj3eza5VSbILDMCpt3Kq83zJi3nX6IALhGzHpY/wanj4nnBElO48zIRe/n8l4LfuDNeqQRmC1EcAnjB58hDdQ5RNzCC58U9Mm/ci0y488yads/GgsZFzh41Xx6hJyn/mLMHnkTTnxk779o0EgOPM5bYBq2yc8bXQ0NelSF4VA2jLlaTcGT7yYMzulaWoEFoFAGzsXgeIGlEERMGk2maQc+FffL3/5y+PN77333tlNN900hFSUEYJLOooCwWVw4urgtAGw9Ss2Ao1AI3CsCJC9IfL3Jz/5yThmRLgzlT/0oQ9dkMeZNCT9svjqXSfAGUfU/e677x67U7/5zW+OHav+oZ2SzOCZrwqkd93UCCwKgaq/mITpY3YS8ek1U91GnEVhu6qR/pgdazv1zToBjM60rDy6KFy7nM1GQJ83vyDvjVHhI9f4hI/H4sIjfPyU9FAMz0wRlTZGTNfyyCv9Rz/60fEv7BbQsjAoDeLjY85CYa2fOE4ZtQ7TZ/f94RHQ9rCOr8RgHl87aB+uabkRCO9oz7Qf/rKQ7esHYyZ9Ljy73G/TtVsFBNrYuQqttAR1tNqCCB+CyL8WOt+GkfOuu+6abW1/xu6MDQNOlIglqHZXoRFoBBqBjUXA5M2ZgWQ2ufzhD3/4wmfsFM5lJQqwMcd4knpaNBPuM0L/mOtf2L2TLwy85+nTp8eZpJkU83vis6wtvHr10hdRnXRn8q1fZtKWN2MgwXvOH9NPfYobPSpp4qePu89zptdJ234jsE4I6O+MmjF8pP/zc02Ou8Yn5iAJl8c93ku8NImvOAmPS7hyLaAxtOBXx05kY0c+V5d2Xnkpo/3FIqCNtAVKu2tf4aFca3sOaSMucrjbLGgth1/HyrRNwtTQGOkzdu1nkdDYmX6wHG/QtVhlBNrYucqtd4x1N+gQQgyalHf/yP7mm2/Obr/99jHJdO4NRYEyT0mQPpSBKfftNwKNQCPQCBwtAhRJRsDIbDvt/UGRiV0mBkdbg4OXbqyJsVNdjSEmoTEWeQc7cowzdnaa8DhKBUmbCdDBa9A5G4H3I1D1GNdTQ0sm2ckV4wn+oxOF7xI/9ZWZSaC4ej1N2/eNwLoggG+y03nKQ3nHGL3I9YwH8fEhqnOO5Kt++JcfXlOGcdHzle3P/IyZeDdplJG8tby+PhoEYG2sR9ql6gFpc2m0u3biC9d3ONdc03IhkDbbqX2Mkc5lx4cMncbN8PZyvUnXZhURaGPnKrbaCdQ5g4dz0v7t3/5t7Oy85pprZtddd93s0ksvHZPod955532DDOHG1cHqBKrej2wEGoFGYOMQoDSaNFic8kdyl1122fhH8/xB0TIDYryJYdMYgqz8m8x4LxPUO+64Yyy6felLXxqf6lt4QyZA0iTfCOyfRmDBCNT+xdASg0weox/iPRM3PGcylz6dNCkjvnB9v94nbfuNwLoiECMnfomh0buGp/DPPGNm5iXx5YmBRFgNzzOkCYm3CMHhT+QLAhs37MQWL1/mMOKVjz9Tfn2G+KbDIVBl3xTbYJ406R/aJO0iTvhU1h6uVp37sAhoH3qZNgwvps2UjQf9+bHx0gI2WSB9UyOwCATa2LkIFDekDILplVdemf3t3/7t7NZbb5195jOfGRNOQmo6uTTgUFoQJWI6aG0IZP2ajUAj0AicCAJksombP/Bh7KRg2g2ZSdy0UplACD9peR1lWJ2MO+pjV6p3Mq7Y8eGsaOeR/tmf/dkwevpU324AO3OaGoHjQiCTt/TZPFc/NXHTRx27gGJQSRr9ex7fzeO/pJsXl/LabwRWEYHIeUdjMXKEzC3wlY0VDJ6u9f/KA/LmPuXkPuXw5Q2PVl5iGLOQ5qxA44rdnergyJe6QJG8+No4VOPqc/r6cAhouxiX097TEqURFwM4PUe70BWiH8QQOs3b9yeDQNomfBReDS/iQcZO6Zyfm4WPk6ltP3XdEGhj57q16BG9D4GUTyIp8Aabj3zkI0OJz4BDiGVwkp5CME/pOKIqdrGNQCPQCDQC/49AlEnKvx2eZDGFMjseomQuO2CU34wr3sE98h7eh/HW+9mNQ0k2YeV67Fn2ll2f+s3ra/grE3A7kaMf5a3FxyW/+1wnHX+arsb1dSOwygjgEcdimV+cP39+LM55H3xAtptfWKQj6/FB+Eh8+CLp3RsfMicJLtLO46vEK9OYwYApv7qYv6Scmlc851lNi0cA1tojbasduOCdtqz9oObRNrW9Fl/DLvEgCKT9kjf38fEaHuTHeJ245Gm/ETgoAm3sPChyG5aPgZNC8u677w7fLpuf//mfH59GgiKraVmRoyxYIUUEWFMj0Ag0Ao3A8SFggjDd2WmBygRyHpkgUC65ZZksmLgwZJrYMBh5p4wrMdzed999M8ernDlzZuzsNC5tbf9hXiaq8961wxqBgyAQ/pAXj3D6Zkj/RPoeHciuTjzoPFk706ILKUfflp4vfS0n5cWXno4lTRYrEtd+I7DKCPzP//zP7J//+Z/H0ViOyLJgpZ8zPBqvyPnf+73fG3+GKtw9Z9ensQFfZOELn+CpebJf3rjwbnDDl/4J2tjC+YMUvKs89VCeay7PTB1TRvuLQUDbwFy7kp2cXX7kZGRl2t9uXG1f5ao20jZNy4WAtguvpmZ4VXshbeof2H2JRAawOWQ8Tfr2G4GDItDGzoMit2H5GDrfeOONMZm88sorL/xrWoXBIIUItQxYBBmBFSWjpu/rRqARaAQagaNBgOyNgmnCQCZTKE0OKJ1Tkp6LHJ/GH/e9uqCMHd4FmQiJM+kUdvPNN4+J70svvTQzcb7rrrt6sjOQ6p9FIhD+SL9U9pRXapxruo8+iu+yu1M+YXE1j7h5JE3cvPgOawRWFQF8YFc+g5ajSGyowFcMWPwYNaUzFgib8l199/AJP+mmeRKefMr1HHzqOTFo4t8sLqRcYycnXdPRIaANGL44f4YLcwtIxn8LRzbcOGpAu7nXTtN2Pbradcn7RSD8w0fxU44FhSwsaGftPU2TtO03AvtFoI2d+0VsQ9NTQJzX6Uy0W265ZQwyVkANSASUQSbCLMZNioOwKPxJt6EQ9ms3Ao1AI3BsCETxpziS24hMplQKm0dRLpN3XprjCFMPk0m+OiPjiHplh6cJsrB77rlnnLf2rW99a+zu/M3f/M0xJh1HPfsZm4MAg0io8ok+yQmrTv+NQUQf1m9D0YnSx5NvJ74TL22es1O6lN9+I7AqCFS+spvSghUyX8Az5hgxRvJjEJEGH8S5Dx+F9xLHlzf30iLpE8Zo5nnyeqYxEp9Kk7QxdLYhZkBypD9wt7vPVxtPPfXU0GHoMWQpI6c/xqXLOA+5ylbt2bR8CGjPjHfzahfe5uMvvNfUCCwKgTZ2LgrJFSknA/d0QIgQyuca+ZzDZwIGFytrTz/99Fg98y+4dndaeVVeyowSomwCixOnLNQrbyvSSbqajUAjsPIImDjaFYF8HkSOZ2JHFpPPiOynWCZuBC7JT+qUcUadU/fU37uZ+HAmRu+8887sxRdfnF199dXjnZPXK7mWT7lTqulS9jRN368mAvo3PcTkWf9gKNfvUW13/SL9w4SLwYMRhB6Uz9DpPe6li84TVKJHufdMPMjFcJN+FT/50s/n9Utpar12SpOy2m8EjhsBPIT0Tdf4IH1WeOLj6//4SzobKXw19tZbbw2DVvJKi//MSWy0wHOXXXbZOBJCXgZJacR7VowjxgdhKPxYnzvln5Sh/Bg78yVEyvU86dzHpWzPmZYprGk+AnCLvpG2S0oYk5f6w2uvvTb6xA9/+MNxr73FaV9fGnLi9KXPfvazs1OnTl0wktU+kLLbPzkEwmN1vBSmH+gPSNyHPvShobMZpxm28V1TI7AIBNrYuQgUV6AMggXFd50BWhihQvCYEBM+PiehfDhr6pJLLhmTyOeee25MIH/xF39xnG/jMwICKsIqq2tVkVe2+DzLc5sagUagEWgEjhYB5x6ZSJLR119//YU/8iGThUVOm1BSLIUx7CT8aGu3e+nGCxMhY4f6VVJ/dXT2qPjsBHrwwQfHWGVhzr/6/tZv/dbs8ssvH2NelOq8eybDtVxlGQeVvQwY1Lr19eEQYOhkCHfUwVe/+tXxRygxYOgbrqOjhAdMuJzdZ2HXRNpxCYwt/jFWGH3HH6ekL1VdR1n6rb6pDPd0q6Tlc/KgPDv+9G2l7T45RaXvlwGBab8nRxmm9FljChImHV7Txy0YWHBgsHr55Zdn5hbktjT5UyJp8Bi+efTRR8d85FOf+tRsa/s8ZuXjaQsQmbPgNzyCf8NH+JrhEolTH3GJj884Jl8ty7U6eJZy3MsvTD7vpA7y5j3Hg/pnVwT0AUcWwEz7wi8k7kc/+tHsn/7pn8ZuTvIT/uSt9PqH9tRvLOQ645Vcp9+Q0dKS2/qQstO+Kb/940dAm3H4Rhtm3MM/eBZfJT67dLWtdpzqfsdf+37iuiBwUcqsyxv1e+yIQISOBNNBoMaJN+gYyDlkMkw5kY6Rk5JBcClHGD/K+LTs6f0osH8agUagEWgEjgwBij+5Tf5S/slrCiaKrI7cN5mjhC6rrM4Yo+65jgHIWOXaH0xQkO0IYejN2JV3nPrTd/1p8Z7dtJoI6PcmySZRZ8+eHUbPGEH0Hy7E6KE/xdhpN5G+ROcJ3/iMUppK6ZcJc48HOX1N+vS5qZ88u/nJs1uajmsEjhuByM30T/f4LbziHk3T4Tm8xaCFLxnAlBGjIj88Q54zlkifssKznuN5nPRcnpW61LqNAiY/4rMbULnhWWWnDFmkE5Z3kzbXkyL7dhcE4AbvtBNcXcM9Y/irr746jF3wDe6K1M6MYHQWBnK7fhlIEZkuXllNy4OA9kg7qlXahx8nno7K1776iLZsagQWgUAbOxeB4gqUYbBABAgiUELisrqSQcUngHYtWHH97ne/O5QMf/xw3XXXjUmlVbNaRoRXyuQnzOQB1fQjoH8agUagEWgEjgSBGFrI4RhwpjKYvI/Mn8YdSaX2WCgl12RG3bKoJqvxK0YqY5Y622ln4sQgZZeHRTmTHzvqTJzkN1GWT5nKTrniQpkoS6MMZWYXT9K0v5oIaMuf+ZmfGbqL9tUv9BVEz+EYXPQhBhV9waKuHUN2R9tZZjcR/efaa68d58Thr+wclk+f0idD+plwDv9lx1ri228E1gEBMljf50LTa2PQNB0+Y9BirIpx0YIVvrviiisGv5h/+FSZHPaJq3SI3DYHiWETf3Oh1Ac/yhuq9RKmXtk95jiUfNFGRjz00ENjgUMez0le5bk3FmWOk/Lb/+kI6AcWjmqbwZFM/va3vz36hDM64fxrv/ZrQwYziGsnxk1GcWUYo7UvufpXf/VX4+gac9Rf/uVf/umV6BTHikB4Z/pQ7cghaXIfXo69Qv/YqYxpmX3fCMxD4OLoMC+2wzYCgQgSwoSC7t5gTqGg4FNGDP4UEQoBxV2c9NJOSVicuAizabq+bwQagUagETgaBKrBkPJYJ2zTJy6bIlnHj1o34Zlkmgy5F5/xKsZL4SZPDFg5ByrvHGMnH0kbyrPEJT5x7a8uAukjmWDTSVzrL47p8aeLdB07oWNQYURnzNS3GFxMru0wowMxnEunL8al7wQl/YfeJD7PmqZJ2vYbgXVBQB+P8065jqwW5hqvMWJxFgTwirkFY6fFB0Ysx07gI/HS85GwGEaUrzxheRY/VK8Txpen5mM8ZTzD4wyx6oOmZWY+k7wjUf/8VATgFYouAlvyMW1sYcm47XNmspmBk3FTergzkkqbtrPwZJc9WWye6lP2GK/J3J3aPvVo/3gQCA/Vp80LEy9cW/O1dVMjsAgE2ti5CBRXpAzCY0oZgPjis/vFoGIQMoB8/etfn1kxu+2228aKq4FIWi6DTr33DOHyowiucdM/jUAj0Ag0AkeOAFluckgWm8hF+Serl53UOZPXWldhJjN8E+OMO8YYE1V/MuE9kTOnhZkAMXgmrUms8k2gUMYqZQhzn4nuSNA/K4+Atte2DOR0G/1BG5sof/rTn5594QtfGDuB8QvjC95hcHFGp3PhGEJNuu1EUwbDp/4nvbJNttOfAhb9R7yy9EPPnaZJ2vYbgVVGAA9MKfJWONlKriJ8kYUDO/UcO2InvjA7p53PaPHBPOOJJ54YfGqXPr6TDn8qy30IL+MzBrIseHm+dHmutLVOiZMXX1rE8MzsJs2ih7pn7FSGa+MP511q+eKbLiIAm/QN1/BynzaS0niu7bQx4za67777hrzVFs8888zM/0SQnxag6DLS26nvDFcy+o//+I9n3/rWt8aGHGfAkuvzjhoZhffPsSKQi8tlGgAAQABJREFU9p8+VDjeSnzuw298/QV/1nTTcvq+EdgLAm3s3AtKa5SG0AhlsOcnnHDJ4GMl1YTRgGPwueGGG8ZgQnEPZTCLwBIuLIqA+zqwuW9qBBqBRqAROFoETAhMIJFdMiaHkfP1yVEyqwyv8ct0nbHF+OKaQ96L8YkRy4TVRMg/uhrLTJJ8Fpn3lL7mVZZ0ximTXnHGwXlYydu0egho4/CDtkX6yqWXXjq79dZbZ/7cinHDxMrOLnxjYs0A4s+uPvKRj4xwn7nqX5mE8eOmqOhTdCjPjbGz+9QUpb5fNwSqnMV36fMZX/CLxQPHSDB0MnjiN/xiYerGG28cfwYW4xa5brcfY9j58+dnP/jBD8Y8xK7rlA3DKtMrpsLz7HqdPMpgQLO4oU7qhufVRz5jQhbQ8j7CUmZ9Vl/vjADsOLgFT6n1BzLSYpL+oN1trIGxuaf20P7uxRmn33nnnZGHodMfx4kjt5WhL5HR2rppeRHQD/Be+Cj32pKu6t54zLUNYXnbcVVq1sbOVWmpBdVznnJQBwWCRhqDD+XCgG9g8mkJhd8ggmqeWmbiDGoGsaZGoBFoBBqB40eADGdsMVk0SYgCOa0JpTJuGndS98YU4456VUp4Jk2JT7j39Fmy8cmnxz5H3NraGkUkjTj5jXXINYU698EiZY9E/bPSCNBjGCoZMUyKTaAtAOAN/QJF92EExSsmWI5ByGRLOtf6C+Nl0ghPn1FO+pdnMqBGh9qJ/+RpagTWBYHKC5kDhMfwBh7Cg3ZpcniMrMdvzshl7GTEksecgzw3lnHnzp2bPfbYY7O777577ABNuXiXwTLPjuzmJ41rzw+5ly986asA85zMfaStecP70idcWXlWym3/IgJTbII/P3GuydQYPd0zegpjgLZwSXYzYl5zzTUj3CYcfUFbOedT3ttvv33EW8CiB9Q2ulijvloWBMJ/6QfqhR+56H54jmtj57K02urWo42dq9t2B6p5BIsBJYMM38AgLr7Pr2LsJHxMDAw6BnokrXyhlOs+5RqsmhqBRqARaASOHwGGFpMBhhlGHQrkThOAyP3jr+X8JxpP1Hcepa7xk0Z6E1678dCZM2fGRJrBEyW98cnkKGNWJlp8ccKNedI3rQcC2ttk2SewOfuPUVM7R49J28eYoT/YKYSPMvlSDjL5EiY/l74kLv1LWhM1vr7UEzboNG0CAuEHvICP3CcMPzBw4kU++YyH8AfDJkMno6NFAvMOGyzwGj60o+/FF18cn7unPHjir53kdU0371rZyc9I5jl2Eqq78MgF74GfIws8t5bnvml3BGAZCq78OPgifUN/0B6c+ah+w0Uu24VLVjN8CmcY12/SX7ptgvTy+tooTi1d4zlt7zptXvvN8r5N12yZEZg/m1jmGnfdDoRAhAUBggwqBg2UMNcmxgZ756T8y7/8y5gk/8Zv/Mbs9OnTQyGRBkUIRUmoZVBcavnv5ejfRqARaAQageNCwETSDhpGHedX5TzLKqvVxT2ZTZZP446rrtPnpB7GLWMNyniVHTzqi4w10rhn6Pz4xz8+wr++fda0iZBJkckSyk4+5XoGP89QvmtYwEp86jEy98/KIqBNs2CbXZl2d/pMkhH02WefHYbyLAroCxZ7nVnO4ImP5PMnjXYb6WfKMynj9MmQPmSRgVGVLqVvpp8lTfuNwLoiQGaSxXhI35/KUDzh7Fu79/CVNDZS4CE8hXeefvrpWf6sRpjdeoyiwuzku+OOOwZP/TQM8Z16cJmTuFYnfKueMXYqS9g0bZ6RstzLT6agjEPjpn8u4A2Xik0wg6/xGH6MlZGfDJX+cIiRW1trLzKXsdNZrsoip8nVre2vNfyPhHGacfNP/uRPZmfPnh1nvdJ30sbdHMuDQPhPu3Pas/KemrpPf5CGLNBXtHNTI3AYBNrYeRj0VjhvlO+pIuKVDBRW1pyl45xOyn0+X6+vXAeUaTnT+5qvrxuBRqARaASOFoF8RuspJg2UxykZBxB5vawyO3U03mQClUlUJqBJQ1FmsOJ7HxhQlhm0hGXXXt5Vvrx7wviwyv0Us75fPQS0pYkUPtAPXMcgabeYezqOibU+ol84BsH5gOlr+oT8nPTua3+s/YUBR39Nv1w9xLrGjcDBEKgydVqCOLxh5ySZTD6HR/BPdlXiSfMPhi3x4VnpzU3IdOWg5J8+K/wongtPZhwR5rqSPHHikramyXXS5TkJ33Q/ePMrVbwYvoIbnywld8lg/YIRXH5hkdtkrXYntxnG7eSURt/QTto3ZUZm1+f39ckiMK9fpE/UmqU/8NOu075U0/d1I7AXBNrYuReUVjxNFTIGFRThUQWLcMqGHQ85PNwfEz3wwAPjfBxpK+U+5btPGL8HnIpWXzcCjUAjcPQIkMfkr4liPsfLOYRkcmS0mtRxoIYffS339gT1M4mpY8w0pzGLUmxs4zIxtvvO7jw7XF944YXxeaTJE5d35WeixQ92PXZNUV7texNmO8RMkP3xEGfHpva2i+jc9vlvdpcxdtpFov0ZW+wWsptTPmXoW4zpMZxARR8Snmu+ybw0ypEv/W0k6p9GYA0RIIM5fX06znhdcXiNPMZbzuuMbLewQP5+fXs3Pv5zBIk5SHhHnHLxFYOncvBv+CrjQ2D1/LjkVZY6SCsOz8qfMuSVFn+rg+cwrBkvpBWX8SFpk1e98rzUYdN9WMEbLghWwTDtII12kcbOTue12vXrq0Jp/HGccG2NcparL1W0zze/+c3x9YZNOQ8//PDszjvvHOn6Z/kQ0J7zjNzhodRYX4iOpo05/aSpETgMAm3sPAx6K5SXsIhTbQLGfQboCJwYOq2sGegNKv6t1OCfAUpaLoOYcGQgC4nLwJaw9huBRqARaASOBwHGTpNCxNhpR1pktjDyP7I7Ml34slHquFO9xHMmTZmUSusf2I1h+UzZOzKAGpc49/LBhHKNTL5RHctGQP+sNALaWt/QzviAQSNGcnEo/MAPidOv7CRKnxBmEUH4vP4iv0kdXxrP1MfynJTdfiOwTgiQpTHwh1e8Hz7Q9/GExSd/NuMTdsZOYXgEP8n/1FNPjTKcy2kOcvXVV49FiHyarDzp7O70Z2P+kR0/1+dJk3vP5fAf/lc/+ae8KEwahhXlWfQgH4yhwhFfXVHeyXO8Q94jzxuJNvSnYhD5CLuEB08YcjDkLEb5gypt4d64rQ3oMPqNtNpF+zB+Gtv1E+4P//APZ5/97GeHniMdmrbxhjbH0ry2dsUn2hZpH9e1nVzrHxkzY+xcmpfoiqwsAm3sXNmmO3jFCZQIlVynNGfiWHU1YJw6dWoMLoQU4ksfAcU3mHEZtFJO0uW+/UagEWgEGoHjQ4BiSVlElMfIbffkdSYF7jMO8JeNMlFSr3qdenq3jD+1/ibKyETJxJjx0ySJoauOXRmr4GVyVQ2meUb7q42AtrWjjIHFgi4nzCKunZv6hok0o6b2158YxsXrcxzDhwk2www9Cekv0lSSNzpTDKy1X9a0fd0IrAsC+n2MW3kn/T59H7/hO0ZMfEgW4xPy2M5p6chyZdhlzbDoD4tc4ztjGX4STqY7YkJeGzLwLacOKM/Ft7l37Xmpp+cIU0ZkPyOqMGV5Jp4Xj4QrN/mn98aUpvewhw184YrSHrmGlTSRk+Lda+trtv9x/Ytf/OIwYmrn73znO6MN4M7wySerOWP8lVdeObv55pvHbn3lkM8MovqK+6blQEC7hf/SD1Iz4fqENMi1thNe8yR9+43AfhFoY+d+EVvR9IRIBIlXMLBUf9xs//h0xGcEBqqrrrpqnKFCuZA3ykEEEWEkjKtlK0ucdE2NQCPQCDQCx4+AyaEzrshmkzdyPHJfbYRzZHUNP/6a7vzEOo645iq5N0FGiYvvzw5MekyWfI5sEsXgZUIlnBINI7i4d814BZNMcOuz+np1EaCjmCgztDCyZGemvuPTyLvvvnv0Ae2u/U3S7SxibJHHGYLy6x/y55xP9/qRPseFp8JXyldm+uTqItg1bwR2RwAfxLg1LyX5ysjJmWcwZGWBwc5NcpjDU85utIjgj4kYMzMniaxXhj8xwrvySsu4tRPhR6SOyufCo3iTUdPYwBhrLDReCiMD7DhEGSPD8+pqjqNMLs8YiTf4p8o6/SG4BRLxmUPCzT0HT0Zv47PFp2984xuzL33pS+PPch07gvQDRmhtru0///nPj7Qf+9jHxi5fbUhOK3+3/pC6tH98CMyzFegb4Z30m/QFvjz6UPPW8bXTuj6pjZ3r2rKT94ogSfB0ACJwhJ0/f3728ssvj4Hj/vvvH7seDC7ilDEthxCqxs6qQMTYOc2TOrTfCDQCjUAjcDQImFxyyCTRZIIsJqOjPFZ5vUxyOoqxOmVi5D3UVxzyPij15otjyDIhNRliaHr88ccvfDZpMmsCrRxjnnTJDyvG4ab1Q4D+oi8wruCF7PphJLEr6Fd/9VdH39Gn9AkTLP2C7x+Av//97w+jp51f+s257TM+kU9ylaFs/VT/kUca957FkI70zaneNSL6pxFYAwQiU/X9EB4SjmLstCvaYkF2UW5tbc1++7d/eywsSJP8+AdfcX/5l385dvq5xmPyM3g6o9E/dUuLpnVQHuMXwyUD61tvvTX+eExeYwGelNcubuVkPPAchk4LG/UTevyLvznXGYPyjqMS/TMQgG3whDGnP8CN/E1bBTtx0VOkvffee8c81GKTNDAnd7U/YzgjONntTE8GUvFkbcroZlg+BNLmaqa9Q3g+Y6Nw7e9eOJc+kvTtNwL7RaCNnftFbE3SV0HjlXJvokgJ8WmAf2E36Bu0ohRMXz/CSHgVSMpLmdM8fd8INAKNQCNwtAiQzeQ2ojhO5XGV10dbk/2Xrm7qrs4x0iol4a4zearvJd5kyETV7hD3cLCLSLgyhSHhJkjZASLcfTAbifpnLRDQR/QXbZ2JlPZ2HUOH/iEdn5GE7qPvMYq88sorg4ey8EtHsotIP5O2GjT1IWWn77ZBZC26UL/ET0FAn+cqhQ+EucYbeMg8gwHS4gM+szPPJ8nCkJ2VjFbS41EGR74wcpsBUxl4VTgXEs/leQxuymXgdFYo51gTBtMYV33FxmhmF6exEs8aB8TzuRhjUj4/5Flc00UEgj+ZC6uqg2gvmE5xEx6cLUpy0pGz2tGRI9o8Bk7xFpuUI13tC1UvuFirvjopBLRR+DJ1SBuJ242Sbrc0HdcI7IZAGzt3Q2eN4qaDigFDGOWBIMnnG1Y/XVNCbrvttjE5iNIv3VToGMhq+DR+jSDsV2kEGoFGYOkRoFBS+sl38tg1Ywy/yupMPqQzqXSfNCf9kuoSI2QdU1zHeDSvjvKZGBuz8u7+YO/h7X9q9Z7f+ta3xtle+ZRdGDKZkteOEWNi03ohoG3xACMK/mBw8Wmk3UEmy/qKdg+vhHeiJ8XoARX9Tx6GEfn1NeXhodp33OtXDDPKUweU55u8K8uzw58jwZwf+VMn6ZsagWVDIH1U/0bhKf2fs2DwyCOPjN3QeCafIjNyWnAge/Gf/OKr/LeDE285juT5558fZeMdOzWfe+65sTmDwTLPVA5+YxB96aWXxq7sxx57bHwG7Z/fLX4xgIan8DdeJR/E401pjBOMaOoibSX36upZ6htermk29Vo7wEwbwwVGU7mlfYJZjXMtfdofhvCFNTkZORt5rhxx2sN1LWtT8V/G9w6PpF21WQzeaTO+PsGYLR2exMPSNjUCh0GgjZ2HQW9F8xoUKOd1JcynAgZ4hk6DCWOn81N+GhmUuKZGoBFoBBqBk0eAYhiZnAmFiUEUSjV0nXvy3liAkm/cnOCPenNTUufd6igPQxQyxiGfuqFnnnlmfI7seBbvS6mWVjoTX8o1A9Zu5Y+C+mflEEi/0ebaXpu7ZkBh0LTISy/S9vqBfoQv6EXifHqbPAwi2VnEYGoSxzDiGYwjIQYUZXMo/Rl/KstELgZWz0y/Uw/ED4/Koz7SqHdTI7CMCOizcfoup9/6HBwPOXMRP9h1b6GA7/NxfJB8+jreQfq6Mmy8YDgTd277U2bzE/xkzsLgaXwzX8FH+DHkuS+88MJ49qOPPjoMmYwnZIA8ypDHcRTqhrIQZud2NbSEF6Vxnfo2T0Lkg6TtdpNVMIzMm+aOrEy4dJydnfNomn5emg47WQTwOIfwTsY0/SBOuD4TIzm9jJO2qRE4DAKtNR0GvRXLS6CEMjgII0iygkJRsMpahVLNl/ztNwKNQCPQCCw3AlEid6vlXtLsln/Z47yf8Y4SbWKLKNXIRFy8iW/uxWX8G4H9s/II0HEYUBgZY9hn4Di3bThhdPE5JMOJdJUfTLSc2emfnxk/9CF9ha9PZdKW/sTnPINvgq4vKTMknzKEiXfPIfk49eBnku9aX0XCankjsH8agRNCQD/XX/n6pb7Md4/S1xk277vvvsFnjoFg0GC8siNTn9a/5ZE//T793KJUjpvAk+6lYQRVrnIsQuTZjJTKs1Dx5ptvjkULu0vVMwbRpFdOjKvi3df3mMKaOiU875379huBRuCnI4CP4mpq/BR5gp/D0zVNXzcC+0WgjZ37RWxF0xMqUT5c1wGdUuA8G4oBYyflgSKCeiBf0QbvajcCjcDGIUBeR857+SiTFMZKSSM+VK8Ttuq+985EmdEpRiOTW3GZ3Jr4MnYxhjWtHwL6u/a1qBujoR1hdm4yjDCIMMAwpOgjKAZN6XyCy9jCMMrXX2LE0YeSJ8jFcMOwIl3lP9fC9EfX4Tt1VI6db/Krr3TKEK7PStOG+KDc/jIgoG/qr5Gl5hYo/Zr85W688cYLfTl92056uzT1aWH6N57gUo6yLEbYTW335i233DL4Tx5zFeF5lrTIF2p2W1uk8Ad1+N7OTWWqi2faweneM8WT/eqQsoTvRNLE7ZSmwxuBRuAiAuGn8E31L6Z672qadhrf943AfhFoY+d+EVvB9FWouEYG+SgUBnkKvbNtKB9WSSkCmRRI19QINAKNQCOw/AiYdIbIe/I7cl84RZKrYa7rffKvsu+9GaxytqIJbj459icVxjjnxMGCQSm48JvWEwEGkssvv3wYNRk4Y5RkGLFzk6Exu7wYGi366j9bW1sj3yWXXDJ89www+he+UW7lH9d0LP3NM/RF/YqupfzwqPgYVZMnBk5+9LT0UWmbGoFlQkC/5fAA0meRPq7fitP/xeMfYQyk+rIwcdJy7uVPGdIi8jn8gR/dy2fRQfiU8JlP2PE1w6d7z5Qv/IUv8aKNHuFJz/XMqavle15cDe/rRqAR2BmB8LIU4Vk8PKXwXtIl7TRd3zcC+0GgNaf9oLXCaadCpd4TLnY1MHjedNNNQyGx+kkZyODfAmeFG7+r3gg0AhuJQCZl5D05736qTAJmXeW79zYhNkE2yfWePmc0CTbZNs7Vd6/YbGSHWeOXTv/XF5y1aVenvsDAyeARY2d2mDGO03/0D0Zxhho7yS677LKxICxM/+L0JelqX5KX8YZBk5HFPYNOeBHU4itJwyFpa3lJNy8sce03AieBgD6pX6fvpg7p7+7xiAUmhBfDO9LgQ8ZI8li6StLiH+FkuAWI8MA0bfLhYWXatc2PMdMzU5bnCXeWKDJOTMvz7Cl5dp4/jev7RqARmI8AnpmOacLm8ZgwrnltPpYdun8E3j+q7D9/51gxBCJYqlJCMfAPhD7V8ucN/tCBUkEZoBw0NQKNQCPQCKwGAhRKC1UoE0rynjxH4iPbxUeh5K8T5d28ewxcdvU5q9FOHwt77vPe0hn35Ms4mbh1wmUT30XbMl4yWN57772z66+/fnbttdcOQwiDIwMInsEbjJ/4g5HSJ+v6DsOmL14YWnw265zBGEf0EfnTV/Sd8Jhy8gkt3M9tnxHK0O5zec9RJwYWn8e79qxc5ygh+RhlpPecGO2FNzUCJ40AeYkib1Of8BK+wH/6uf4bwhs5NiLx/BA+0u+lUwanjGqQzE5pYfgCSacunsWJU1buK78LVwd5Ivvr88VzlVIXPopf0/R1I9AIvB+B8BI/PIRPyYmEJY0wJJ5MaB57P5Z9t38E2ti5f8xWOgdhggiRCBYKg089nNlp5dUkgIIegbPSL9yVbwQagUZggxAgt00QEUUxE0gyH4mfyvYon+ukVOa9vbOJLMPVqVOnZj5hf/3118e9cFgZCzORdg2fYCJ/02ojoG0ZEu3KZOywwGtHF0NHjCAxjDAqitd/GCDtAvXJOv5hEJUuuzrTx+IHJX1KGXQrO0YdEeSz2kceeWT2xhtvjC9p6FzKQjfccMPsox/96Ng5euutt456xpgqXlm+vlEf9V8nPvV+TauLgL447f/eJjzgGu/EyOgeMWTiCekY+PFC7dfkMH7jXCeuPgv/mqtYmFA+kk5Z+MdOUb48wiLj3UfGj0z/n0/ePCfjpGej1EG896lpR4L+aQQagR0RwD9xElX+iT4aXss9Po3eumPBHdEI7AGBNnbuAaR1S1IFCiXapx6EC6ESZYCfdOv2/v0+jUAj0AisKwI7KZT1fTdNtlOsTXoZPM9t765jgDJRnjfphU3Gw4pZX68uAnSbGEDszGRoQfSfqvPoD8ISLw8DY3Z9iZe+GjsYazgkXv9hoFEG5zNaC8mufUHDyKr/MXYqC9nFqQz3DKueqX/y8yxlu25qBJYNgYwn/BgxwnPq6lr/rSQMX+0ka5WTPLXcPEs8flEGPnWfOPmEMYCmjPCkBQhhqR/ek0/6SsLiarjrvOM0vO8bgUZgPgL74SVp8Rge5Tc1AodFoI2dh0VwhfITIFHKCRFKvbOq7HShCFAaKNeEi5VSYZSCFjYr1Mhd1UagEdhYBMh4cjtEznMoctzk0jiQe36USvlr2nGzBj/GMUYkO30effTR2ZkzZ2Z20FV88prwYZjKhDg4Jb791UNAW9JtOP/ojPBADC3ip2SHp4VgRnIufCSdfOkXymGYdM9gIk5eu9bsxvRHSN/85jdHGfqds0LFcSFGUDtIt7a2Rr0YZOhgjllQZ0YddYhRJ/nabwROGgH9PfMKdcEH+EmftQN6J2KIzG5MZaA6/ijHnCTh4qQzvmW8slubS5rwJN7JH9B5hrmOHaAZG5Vj4UsdfckmHs/mPfIs6VKn8ZDtH88WnmclvP1GoBHYGYHwVB1HkxovhZ/wFj6UXlqyJHFJ334jsF8E2ti5X8TWID0hwhngnR/1zjvvDEXaJ14UakS4EDTSETy5X4PX71doBBqBRmCtEaAwonlKIpkufrc06wJOfVdjm8mtiTDfuFYnucK4eZitCx79Hu9HQFtz+sm03etES3zSpE8lPT5ynUlcrk3SYpzMnx95uv6HxGUix2DDKMPI7kxZi9D0MgYb/VY6hh9+UyOwTAiEL8hTvKCPzuun0kmD8Ej4JPf8xOMl8TXOtfKlUX7SSCcsmzMi48X7PN6CgUUHR5dIw1nEUB/EyJnr8LBwYXHuQ6m7e/GpZ+LbbwQagQ8iEF7izyPh+BiPJ03ltXl5OqwR2CsCbezcK1Jrlo4wMchTrGPspBTE2BlFgvCJcrFmEPTrNAKNQCOwdghQFhFFkRyvEzjhZH9VKJM2Cqb7daKMYcY2O434sDHptSPPOOjars95k/R1wmKT3yX9e2qcwAvhlWlc7pMm9/qU6/ASXN3H6UeMLtXYiQ+F+WxWX1MmA2fSilOunZ8xdvojJGXKy9iZ8je5Hfvdlw8BfECG6r+u9fspCWfMTx/OuMQXlnj58AK+EI7iJw1fmuT1bLuh8ZNwMh6P2cWdc3otKDB6kvd2eWZntXzqKz7zn9THczjEF87luanXSNA/jUAjsCsC4aVpovCRMZFLOnzGNTUCh0WgjZ2HRXCF8megVmVKiQHfYfnnts8w29r+fOrKK68c/zSaV5Ke4LH7JUp54tpvBBqBRqARWD4EpspiFMnUlCJZ0yR8XX3vy5kEc/5V+4orrhhK9Pnz54cRSVgIXnUinfD2VxeB2uejB6VfeCvXSFwmV4wt2U055aGUIU+MMjGApJxqdMFvMQRJn7KVz9DCABNH32KoEXf11VcP42h2fiq7qRFYJgTCM/q7a30bTXkGj+GBxEmftAlzL90078i0/ROeTVnJn3lK8meR4ZJLLpndddddY1MHvrKxw1m5DJ34rfJk+Nez85x542TqFl/ddqtz6t5+I7DpCISvKg7hI7yWcZKP8GT4subp60Zgvwi0sXO/iK14+giWGDudFcXgeffdd19QrCNopLViajWWYtID+oo3fle/EWgE1h6BqlBG3teXFk/G89eZKg71PRk27ZgzpjF2mhD7J2xKNeJn4l7z9fVqI5CJVNo5b1P7CX6Jk84n5+IrH7nWP6ZU04hjeLFTzJmbdo/RpRhcEGOM8vPs7DAWb/dZdiDTz5wtqGwLzk2NwLIhEH6Kr35TXkid09/FzxuD8IU0O5UhX55T88tjTiOs5nUMxB133DGO65LP/xPgKUZPu6fNbfCbfDGc5vk7+Sm/vmPS1rBRkf5pBBqBgUB4ZDc4wtPScni2eWo3xDpurwh8UGPba85Ot5IIEBwRJJRvZ9c4T4pS74B8Az4FgM9Jm9XPlXzhrnQj0Ag0AhuEAJkdmqcoRv7XdEm/Tr73i/JccWB8YkBCdvn4d25jnTTGulaw16kXfPBd9Iv0h/hSxVDiOv3BtfT6hbTz+obwlJM+R4eiXyVPyqnPruUmffqrOJSyU/4I7J9GYAkRmNdHa39XZfyTsHnppanh9Tr58WbSJV65wvmVLBAweIo7derU8Ml/O6ctKOA7c6Cf/OQnw+hp0aHyfi0rz+KHP8XX65q+rxuBRmDvCOCjuJorfFfD+roR2C8CbezcL2Irnj7Kuk84DPBWOB3cbcJ3ww03jE/bnRnlsylnS2U3Qg7VX/HX7+o3Ao1AI7DWCFSFMfK+vrD4GFVq+Lpdm8jGeGnSG6XZpNf9iy++OHvmmWfGzruc1eZoF7v2TIab1gsB7Y8fwh/ZXekthWl7epG+IY7Rg2+3JYOIz8r1E2XgH+WlT6VMaRlMnIXOkK48aelR+mL6obDs5lSG68Q7Z9D56ddcc804WujSSy+9cJbgerVIv806I5B+j1/iGBp3o/BT0oSv5BeHH7kpmZ/Mm6NIi5+ymx8/ctlprXx8/cQTT8z++q//evbtb3/7fbyW59fnqUfqKR7xE1bT9nUj0AhcRGAePyVWHJkRX3jltaRrvxE4CAJt7DwIaiuWJwKGH0X93XffHZ92mNRtbZ/XacCnbFPwo5CbLErvXnhTI9AI7I5ABuoovnsZrOWplLw1rF4nffy9PKPm7+v9IQDntAmjBSIPhTNuCDPRqp+2iqO4kal86SNDydS0Xa1JnlHDDnqdsqI81nI8X12Spsat07X3866ca5hrDwYri3vCfvzjHw9DlnY0MU76dcKh3+U9BLR33Dz+wxP6AL/2A3kS7jq87To87Rqv0Zn4FovJBEYVhlL5yQf9D8nnXlnyel7khPDU4b2a928jsHoIpF/zD0OHzZ9n4zFzGYS/8KKy8abxwB8ZMYziV4sPHP7Flyjjh3Lkkz9liBe2qLoqr6kRWCcE8ApdOWMmvhKGn4ThHb5wR0s4WsgYmgXGdcKi3+X4EWhj5/FjfuxPNEgTMoSIwZ7//PPPz1555ZVxXplB3mBvxdPKKwFDac8uF2EUgh7Ij73p+oErhoDBG++EV0xcud0IP6LkmV6PyPKDn5HnuN7LM0r2vtwHAvCt7ZLJDcyFk5n+7IAMrSQdA5p4PpnKUeYod8qtZddn1HIOcq18pF9F7tdyxKt/lM6k5avHIutSn3vc18E6eMACz/is0Zj2+OOPz86ePTu76aabxlhnDLToV3E57jr3844GAX1aP0hfwHu59kTxdKPoOZUHhOkTwvh4m5M/ckAZysTv4sgD/cyk7a233hpfzVhYZlwXH3mgT6IYVZSfZ+FfTnplNzUCq4RA+EWdKz/t5x0Omm/6jJSDX/EtOR+ewm8MKx/72MfGOZ52dzrX085shs/oZ3gVL2aMMJbgW+WlTM/Js6Z16PtGYJMRwD/4BQ8i92wMxl1OON7Cb85S90WDoyZyvN4mY9fvfngEdp+FH778LmFJEDCwZ3AnTN58880xoPsHds7kT3iUbYM6R9GPsr8kr9LVaASWFoEou1F446tw+C9+Dcu1uJpHeO75ua7hrpsWjwBlzO4Okxrk/u233x73ZCNFjfHCcSCnT58ex37YGWJXl3htlYkQf9p26QfCXZO/yXOYt1FGyswzanl5hjohabjkq2lX+Trvww9pQzsFOAYn7cRA5egW9wxSwSV52l8PBGo/qNd5u53aXfg0LryavPzwkLQxqEtHhiSOLOFSnuvwHz3L5M4n7CZ6DKb0MpNAaZSFknfc9E8jsMQIzOOzk6quunDz+MdC1zXbx0b4s9aXXnrpwhFfjvKymInCp+HFlKU8LuWf1Pv1cxuBZUYgfMNHxjP6WMY3YfhIvEUGYyPjJ70MbzU1AodBoI2dh0FvhfJmYI7QMMHj3Jv4ETgMnSHhuSeUMpgnvv1GoBH4IAL4xCplKPzmHh8ZyKsTb5KLGF6kqemE40Pl8qVPmfIpK/fSNi0OAcqW3R3+wC2GT2c8uj9z5sxYLIpR0+KRFej7779/duONN45KUNK0UeRnZGjaTHvmmu8ZSbOoNlXuPKrlS5N6zEu7qmF597xr7uMb97JrgNGagUqbZdxb1ffueh89AulDnuQ6juwPv2enChlgd7fFEc7uFgZQ/RLPSx9Duz7I6HLttdeO3aD6pzKljZGUjGhqBBqBxSGAR/Mp+9VXXz3GYbs7hdMBwu8xzOBZ40TOdsafGWcWV6suqRFYHwTwR/RbbxWemcc31R4R3lsfJPpNTgKBNnaeBOon8MwqUAgPhk5KtwE7uwdqGtfi+FHkT6Da/chGYOkRwB/hHX6ua8XrgB1+Slh4LOmFU6ZrfE1Ty6/Xyd/+wRAI7nKTfQwRdm0639hKsx0ejJw+TfXnNsJNhji7QezKskve7k5hUdj4lbRt2i2+eOGLIGW2QeSDSGpfLgo3Y6edO+5NaBmgFtUGH3x6h6wjAvoTfuOjGEOERTZEljB4InGR71ngYuwkPz784Q+PnZ2XXHLJkCOMKfJLRx4pM88chfVPI9AIHBoBfGsswH8+acerTz311FhoyNcbHoJP8S6X8f3QD+8CGoENQCB6KT9Ur2uY8OoS134jcFAE3j8LO2gpnW+pEcjkLkoy3+eYJusMnf6FPZPzCB8DuWtpewK41M3blTtBBExATURNSDkUHqrVEpZ44fiqkvhMlPEiSprwX3hR2nnPqOX19f4RYNj80Y9+NLC1u8NikH9V/u53vzt79NFHZ6+//vpoIxMeMvPTn/70+GRdu/3jP/7jOBpEGv/surW1Nfv4xz8+Jk52jJDB2k9/MZGKIaS2Y9p7/zV/fw79LPI7E7OaQl0yJiTcsxf1/JS5DH59J9d4NedD+Vz41ltvHVg9+eSTY7LrX3t9OtXUCEwR0H/wa/oU3sLP6VfiyAaEvxxnYacmIyZZwl1xxRUjjTx4VF+UlrxgZLn++utn99xzzwXDizTIs2IszfgwIvqnEWgEDo0AvnV0hN3TjjRx/e///u9DH3jsscdmp06dml133XWDT/EhvkdVpzt0JbqARmCNEcArxi7jHTJeCpvqouKMe3HSVD1ZfFMjsF8E2ti5X8RWPD2l2YQvAzZBksndVKC4j2K/4q/d1W8EFo4A3ohT+DxemfLUvErIl3Txa7pp2PQ50/iat6/3jgAco4jBmIxk7DT5YaggOxknsiOQEZNBgwwVRo76TNUiEiMH46nJk3wpd7faeP5h2zJlzFMgd3t24mpfTNi6+Wln7aX9tJG20t5T3lq3d+/3ORwC0/7hPi68lyfgQRM28iH57B5j/JQ2skS88zkZ2jl9kjwRPiX5mhqBRmCxCOAr/IYnGT6zaGFs8EWH3Z2+hjOWo+bDxeLfpa0/AngmzttOr4XhL2Nl9NfmM6g0LQKBNnYuAsUVKCNCI2d1mtyZwBvg7e40qKOki7CJ8ImyvgKv2lVsBI4FgfAK3wIChxKOh+JSoUyMpcVb0sZlF0/S1nISxpcvfOneM+ZNjMU17R0BExyfoCPt884778y+9rWvzX7wgx8MY4SdgD4vTbqf/dmfvXDe8Sc/+cnxKfSzzz47s0tQ2+XfJBk4tG3aObK11kyciVbS1Lj9XusL6UvpZ/PK8KxKmybjGaSvuuqq2WuvvTb+mMLxBOHhiktfNwIQwC/hkcj1hEWu13tpfIbOeEnX0rf8kdnW9i5Ohnb9z4IJw6bPZ6Wli5ErUxmBn8Xh7Snfdus0Ao3A4RHAV/grBk+70MyXjA/GdTuvHVNj/BeH5/E13mz96/D4dwnrjYAxDa/wEX5znbHOnAa/sUVEh63p1xudfrujRqCNnUeN8BKVb3C2SskRKBE+qki4RGF3TxBFqa7h4poagUbgPQQyUJvIhk9ixAx/VV6SSzpp8glkjU954T3p67W8lab3Na6v94cAGcjwAFM7NO3ofPrpp8cfEd1xxx3jT0MYKdKuZKi08vnMjTH07Nmz44gQMjbnQEqXfPJKz6+kjYUvgpRDSUT6GZfr9K/4wr0DV/vZyLAGP/WdXOeezwhlR50/otBW+QfQNXjtfoUjQACPIH0n/JX+lMdJg99M2uwUZhRhpJTOGOHPyxydwGDCwGmXJ5nDVZmgnBje8wzPzHWe134j0AgcHoHKV/gX7+FP4fSA5557bnbN9h+HWcC0QIZfw+Oevqix+/Bv0iU0AsuJQHgkvlpGD+XTk2PsNNZx0nIZe5fzzbpWq4BAGztXoZUWVEcDuEmdHSyEC4W7Ch6PiYItvCrfC6pCF9MIrBUCeMRATCmmJDNgcu7FcVMeA0AmxdLKl3LqID8FSp48K+mlqYr6NE/f7x0Bsi/twdjpD2s4bcIoZpLDmMmIwUmLtK948tSuLLtDs5tTvHLTxtpK+rSZ9gwlLPcH9dPnlJd+lr6jTOHS1OfVehz0ucuWr/LIvPdmgNZOdvJoI8p2jiuQt6kRqAiEn2rfSBg//KQv/e///u84GgFf6WfiyABywrmdZEr6HnkgDoVPI4tSrmfGzRtPaj37uhFoBA6GAL7z1ZvFSrs47bY2Xzp//vwY+3PUBJ6WNl/HuW9qBBqBnREwfhnPMn7mmo+MgdGre6zbGceOORgCbew8GG4rmYswsUrp/BkKs50tdh5UkobCHUFU4/q6EWgE3o8APuHCM/iHM1iHl96f47076ZOW0uwaT8onbkrC4qTJc6fp+v7gCMCXAZOLQdNKM7x/7ud+bnzC7l/YGUJNiBhCpZPPJMgOLjLVp6mZ/IjTvnyk3bRz7uMnbiQ6xE/KTxG1jyVMGhTftXrUughbB/KOnHfjwz7vzchpZ522gpO2TJsyXDc1AlME0nfIBOTede6F6UsWlRlMXOtfOaKCsdMOcPkiI+QJSU9ecORQyg9v5vlJ334j0AgsBgG8hf+MAXb5M3Ya0/GyPx48d+7cGNtvu+22cQRFeFSepkagEdgdgTpGSonf4twb7yweWHSmp2U+lLT8pkbgoAi0sfOgyK1gPsLEgM3gaXJuF5KJOcpkN0p1Xo8wIqT4TY1AI7AzAnjEAJ1PEjMJrrwTfjLRzblPMcSIS3x9isGfQh3ezOcdtdyavq8PhgCcTXLgzGjpTD0THmEmPK+++urwtYV/a9eGzvW088MCknSMo1lAivGMYdQOkYSrnWek3Q9W251z6YNI/1DXTMqqsln7TvpV/J1LXq2Y+o6up3wDD0ZNbe2TRVj96Ec/GveMUkfVPquFYtd2HgLTviVNwkzYnPHnrF9yAd/Ttxg8LZroc/oaqn76m34pLReelI6rPDwK6J9GoBE4NAJ4Nw7PGtdvvvnmsajp2lEn+NlY73xu53dKj7ebJw8NfxewQQgY0zLuVYMmPTWLzXS1ONBkbNwgmPpVF4xAGzsXDOgyF0dgZFeSibpJHoESirIuHYcSljTtNwKNwAcRwCcZkCm/nIF8Hv8kLEapaWmJr+HKjoJQw/t6sQjAGNbaj2xkmMg5QhQxBlHtw3jJ+VyVTBVOWZM/7a4cYQmvNVVG2nNee9e0+72u5akD4seJj0vZSZf7dfTzzhUfbaWdY1jKzoJ1fP9+p6NDIH0KH+F3cqGejU6OcPoZqgYSeSJ3lJPxw3V4Vp7IC9dNjUAjsDgEwr9KtEhpzDc/Mj6YK+E9i5kWw+gBNo7gTflq3sXVqEtqBNYTgYxpU97BY/jK+ImMg+Gt+OuJSL/VcSBw0dJ1HE/rZ5woAgSJfxZ89913xyH5Dsu30wBFALmuQsh1FTrimxqBRuA9nsFTnBV+inF4JTwUQxdjmB1++Iwynclt+E4+xjOKNWdSnAE+xrOUlUlvwrstFoMAzO12Z/A6c+bM+IdumGsHOzu1z0033TSMYyZC2l0byOecTu32xhtvjN1cdnLpEwwcdvpKpyztzXefvqL2aetFvEktK8/zzEo1TQ1fx+vwmHeevrc47WoHL6Pnf/3Xf13Y0StOOzU1AkFAn5jXhyLPyXg7w5588smZIy/IfXLhkksuGf3KNVIOnswiCVkQp8/lGfw8s8qL1Kf9RqARWBwC+BgP28GJZ40Jd91119DZhNvh+dhjjw3D5w033DC77rrrBn8urgZdUiOw3gjgMXMgvEVHzlhnPMzGAmNgdOT1RqPf7rgQaGPncSG9BM8hTKxMMnYycvrDDYfkIwp1jCgRPsJdt5INiaZG4IMIZMJqYDZ4o0xQ8VT+6MauAJ9DMZAJ4+M3Thny+pTWp9OOlnCWIENZBnx+yk75I6B/FoYAjIOziY228e+r5CUjGMPE7bffPoyb2o9ihuTRJpxwTntqQ4a0GDv1B3HKYSBNPmVE/iqDvF0UpVx9LOWmrvyQdOtK3o2r7+tdw3sMUD5L1B524+FVcU2NQEUg/UhY7UsJx9sWShhKLJac2z4yCO/H0GlBJGOEPOl/eDPl8TnxoYTlvv1GoBFYLAL4DZ/hYTs3jf/Gb7rY6dOnx71/ZDd/euGFF8bYT1ezYSS83Hy62Dbp0tYTgYx7U7tC5lL86MZ4qqkRWAQCbexcBIorVIYJusGcEm4wt7KCMmBHALWQWaFG7aqeKALzeMWAjacYybLA4MwnK5p2CWZ3J+XaNYOL3WX+vIKBjc8AwyjGYGbwD2962VasF9/kUcK0m4UgMhLmTzzxxMxExzl8JkH+tIABQ7toPwYMhg3tyFBmAckOUe1oB2gMm6mxPNrTc9J39BdlZzeo5x6WlM/No9p/dkozL9+qhgWL4O09hGlzbaGttYG24TYBk1Vty5Osd/oFv/KQOulLjJ10LDKe0TPh5Dt5kfzS4nGyQVhke/g+ssh94mrfHQX3TyPQCCwEgYwD+Jf8NxbgOwvOzm+2g9Ni9VtvvTV2buNbYz3KmGHsjpFmIZXqQhqBNUTAeBc3fT3heJGP4k/T9X0jsF8E2ti5X8RWOL1B2c4VzoTcp5YGdRThw58q1VOlfoUh6Ko3AkeOAB7KpPf8+fMz7uzZs7NHHnlkGMTsFLTggPcYyEyOGVvsErj22muH87n0/7F3bzu2HdXBx/sV8iFFRIC9N9j4gI0NPoRwkkVASoRQlEgouc5trvIAucsT5CmQgqIkF0SgRBAJBxOMbXw2PmAMOJBEySt8/Zvmbxczq/fu3b26e/XqGlKtmrPONWqcasyacwHOsvGE55kP/gp3wMhy6pK8+9CHPrQ4NL2qZtPzr//6rwdPPvnkssHxkMj6fOADH3jXkekkFweHvGvXri3Oan9i5N7aajPDzZr3kCl0owWbJ2ttI6XP00JyW7/a71SZdhtLZU7b167WN0/B2rYGYiANXuCbLsSXXkGmH8PPrs5rjuv8MRAtRRvoCJ+io2QHGYCGOEU86EJbynF2kgPq5kznGNnkHKk95eQD/US35z/z2ePEwI0xgK5vRJ8jz9y4pfd001juqLZvpd2xvfV1fNlhEPYZ3nWy00MK/OsPCtly/pkdj3ulHbAZ1DPG+HXd/ryfGJgYeAcDeI2Oi3fDC1sML8nDe+zVo/i+OjOeGDguBqaz87iYusBymJ8giPGLDcl198XroRIg6vtovs20k0kgo9u1zTfhQml30ozizvBWZipyWJgwMfAeBuLNUXHjNd/Gfemll5YTgU4EvP3224uhjMcocvWc5LOJdQoQbzGgX3vtteUkKEMaf8rzulTOsYxy9aVtwyn23myu9tUoS2ECbq3XHXfccfCnf/qnB4888sjixLAuTutybHBgkKmc0uTq5z73uYMHH3zw3VfgWjftad89B+jakHMfHZx2TdGIvmzSPNRCj+jJZxJyuNAJzU/ZnDLGWX3Xlxk8cMAncIu/rJtg4yoNmHd4+cY3vnHw+OOPL/rvK1/5ylL3Ms9/jn37GEhGiNlJZHiy2MMKD0R8txft+VTQPffcszzE4kiXf//99y98h/9A7W3ieTQryFNuwsTArmGArsAH6J1cHfUIvhDI3Oi9/OSvfIDOQTJam/RWNk4PfJdCw4/9ira1q8xJQf94zLg8pMDD5sP2MkZ9XL9+fdH7zz333PJAzANsjk/57alca6c4/h75F87kg8o1/7HcSecy600M7DIGsjuj+ew0NrW9knufi3LgoDL7YpPu8rrs+9ims/MSrHDKMUW4jk2htE3ToVAzSAiPNuCMieplbCtLsWeMaE9aQmdT+zNtYuCqYgBv4CM8GuAlG1unADg9KXEnfQQOKJtgJwc4y9TjbNEOZ6d0DyUAJxsY23avP2HkUekTTocBeBZGmQjH1udjH/vY4oz89re/vbyeyiiz0bKevdZus2XN/KHBKENrz+jI0TZl63SOSDCmLwm3+NMcyHkbNvecMpysrkeaNT/9Jf/lg9OO4RaHfCbF4xM4Nz/zpgfTf+Yoz/rBjTwbWJ+TAOHkTAY3G710GEAvI3+gJ3wlHU1x1Hio9ctf/nKRDejKiWFBOUGZ2kGfaMx9IaR0L54wMbDLGEDHHBRkKadjgFfktfdAy+hdUBbgIeBefuXZQerRlXRUOnMpPPwooyw4qsxQ/MjL+MzY8CnbzJjoZHlOeHoYyXbTZye42Wp438NOYM6CeTXf2h47l1/ZG5Ub68zriYF9wMCa3tnKeMp/GQj4wmei8BygM9OT+zD/OYeLwcB0dl4M3m+p17WyJAzWaTdqkDDhSPHE0ubXaR+GASWtLZBy1i7jgnAJUsrdz3hiYGLgHYdQxni8xPB2KsBH7H3rkfPEa7H4ihPMn1Q88MADi3GMrxj36gjqOIHHOeq1aMq+j+BfPzxVYCPB+NbXuFnQ9q3Ig7l2mzEAp+RjkIHl26mcml5pZ4RZK9/jY4RJF6yV9bn77ruX6tboKDhqrY5KP6qdm6UbT/MxZuMNkvvdF297DLV7UbH5NKdNeqx8uFrrPTpx1IMXNYfZ725gAK2gB3Rkc+aeA8SDLU6P5D5575u/ZMW1w09acHbSAxxC0RtaG3lwvDbb+qq8eMLEwC5iAE/krExmRr/o3HX6sPvkqjy0n27Kwai8ttwrS3+xlZRTns5lC2UPafc0oM14TFtrfaC/a4e8bAzPP//8Mg4Pr7/3ve8tD8fYgXStcRtv8zIH4H4M5qVPAWgXhKflZv5MDOwhBtA8voj28QL+oVM9KMR7/rPAA+j4Id7cQ3TMKZ0TBk6nIc5pkLObd5RleEhpdl9MeGwSCpydjHEbdIKE4s7ZmZGRAMoIKU4g1ceMJwYmBt7DAMM4QxuvOBXg1aaC1xc9reQw83ozJf7YY48tH7138oeR6/Qn3sST/gTHZvl//ud/lpOhHJ8MAE5PDjXGPeNAUFfAq+4nnA4DZCc8WsfknjTyUgCc1Qw1clOe9bDJ2SR3Tzea09dGlxmLdABaaV6nb333W7Am63VZ38OHNGsKV3hSLD3e2v2ZzhGeFwaiFRsz/OVEF0eMB8md3icbODu9hufPTZSR5iR4QM6MG76RL6NRcaF6M54Y2DUMoFEyU4yOk6nu0fmNbJPq4A/8QJeyZ+xTRmBD9Ykt5bTJXlJuXXasd9zrxkzma0/b47jxuocXxoanPeBwutMr7QC/c84Ac1LOOLUH3EsP3AP9KpMs0M9YrvIznhjYJwxE7+aE5vEaGUCPOozFDmNbT37Yp1W/2LlMZ+fF4n/rvae0x4YJEcqZE4UxQbBkIKR0CR+BopU/Fe6IwXk9MXBzDOA9m2APFsR4C58xZilwr8dyljGKM+q1yomprD+84fQUQA8k1G8zsGT8+kd/woTtYACeOQXhNLmYPOxeLE2ZYvV2SWYmuxmKOTvRo3EGlWkOpe9TbG6Fo+Y14gG+epjgoYU1nsb2UZi7uun4iIOTDCejndi0Seu7nGTB+9///kXe+wQGHiS/1WFjBdGee7SWTHE/5rkH2Web8t4pMX8nBs4XA2iRTkxOotGRltObNxsVnlFWffyFX9Kr0vGQGM8pI9a3a0GecFLQhnF3+tp8jClwzW7TJxsOv7MVnObG6x5Oe8Wdk+a4oL9gvC5txhMD+4iB5ENzi3fxu70P3nO4AI/ju6nvwtSMT4OB6ew8DfbOsS6GP4rpU5Tlu+/aED0RderAaTNOF4ZDSpmgUZ6gEVLyGQ4Jpvo4xynPriYGLhUG8IiHCviMwxMP2QwDBvGnP/3phe+uHb4OlRNKHmcnIxvv4U8OUob1aAQwrBnkI0zeHLFx+msbLE4ueM7IsibWSmw9OuG5qTfrMcrdTWXOI60xcNyR8+7RZY7cxiC9subsOrlfmcscm8s4x/F6PS951pZzCv85UZ2elDdhYiAMsJM8OBaT0z4R9Oqrry6fIeHwJM8/8YlPLJ+0cCLfBo4NphwZA6LFUYa7DuSPvCgvHh2dMJWf8cTARWGAnBToFzyRHkyH3kx+yqdf1fNQTugUJ1mMD/CUMmtYO0XX+ce9N3YPI7LbOlVWffNjwwn+dMw8n3766YMf/vCHi97wxo63d/C7ccbfzT3+TSdpt7z4XJkJEwP7jgF0Hj+Ya/oMz/ufA+CBgk/EcHjij8kbC1rmzykw8H+1xykam1XPDgMpxuJ6Gu83CQT5jAdPHj2N9AqGTR3lPYK6FHib+rHdsdy8nhiYGNiMAfzDYLa5xXOUOGUNODF9uw3f4S0bVw5OIA3/ORngD27c33777Qs/yr926BzlhGGAA2XjdW1NXl3Qcuof6wXH4TfcjvHYiXLW0brbdLnm3N60KRvrnde1seSczdlZ39GP+3G+5e9DnJE88sd6YzmurbVnYFs/upKj2OZ2wsQADMQz5ATni3tOcZ8heeONN5Z/kuX8JKu9wu6kPh7kSCHr8SBZsYaRPutjTFM+OdPGcN3GvJ8YuGgMJG/R6iZA2+yiaFv56DlbSFoOzk52SauOdrXTvfquu9/U73HT8Gb8ue5zbMMeip3nVKdDJBykr7322vJNb04a9lv1G5/6R41TenjYxjzGsc7riYGLxsBapx3FB2SAvRPeokfZX9nSky8uehUvf//T2XlJ1vA0zM7YJkR8Y+bDH/7wIkgSIk2fQGKk6IeinjAxMDFwfAy0GWXMOx3IaGa0czbhJ99tswnGZ+45xyj37qXJV55T1MkhTzq143tQFH98mfFgdEcZDscf+SwZBmw4OokL76NM3CR/5SvXqRDX2ljL1to/7xj9mY+xoyU0Z8yb5nLeYzuP/uKN5jvel2Ycpdtceyhh/WxgwchrS8L8ubIYQAsCHufsJOc5xX/1q18tDk8xfkNDHJ0C6OGX7w6uHUEjHd4IsfpVlw5wfdx6N2pz5k0MbBsDyVI0ugZpdGX0S85Gz2wh9M1O4iyku8DN6Fz9+lz3dyv3xkR/C9rL1trUhhOc5uEUJ52Kv51IE/ieV0EAAEAASURBVDc/9WrnZnNQNmen6wkTA/uGgeRBvJAMGOeJd9hdbFVywMPnyRcjhub1aTAwnZ2nwd451U1AHKe7hMgoXBgSTiAITo95+tiJs9ocy5cm1ndhTJ/XEwMTA+9hgJHM0clJ6Wk/w9cfC4F4knGsDENawIMUvBM/baBtlG2YnTDLcKb4c6BpS182BvjyRkb5e6ObV8fBwCY5N8pF+SO4H40xa9I6jeUu6pqD3BNy4/IK7ehcX49JGbAJB+uyl+Ueb1g/4Ubza13xntcR4cmnKPwhRfUuy5znOM8OAxwb5DeeJ6NtzLzG+swzzxy8/vrry4mURx99dDkN7IFVJ/GVVdcmzqkV4H6UFdFg8mbTLKLlTXkzbWLgojFA3qLj5G66hAxFu2hekN7pR2NWni1UOXaP61H2Vr4+xrnGO2ParV43PraVvoxnbLd8Y/Lw2T7q7bffXk53Snv55ZeXT1lk43lwrf64z9KG9gP5zWfsq/wZTwzsCwbQfjQu7kGH+eEJOpXdRT4oy3alN11PmBjYBgams3MbWDzjNhISYzebhEBpxZVnPHDCCDZ0FDWFvoZN/UhLIa/Lz/uJgYmBdzDA4KWond7xyQjOpf/8z/9cjF2KXR6I7yj3HGU2za5zaiovUPabeLK+lJlwNhgg80ZYy1R51qZ1bF03rdfYznleox9GI7nPoc5Rs2ke0jaln+dYz6Kv1oIxnRFdWv2N95xTNqkeCvr2ovt9xEtzn/GtYQAN2ZDlDCG3X3zxxcXRSdaT33fdddfiJO/zEXogI9ARuc3ZiQ9dj/J7pMN95cdbw/YsfdkwgIZHOm78aJ0MzolJt6Y3q5NT0AMB5QrpYXosHavutgHPGaMYX25ydhoT3qUj7KHw+o9//OODN9988+Cll146eOutt5bvdtK7+N84nVANJ9ltjb19Vfmlz3hiYJ8xEP9H9/QqXsFf0uIbOKjMPuNjzu18MDB3y+eD5wvthZKlpAkTGzhG+dpgIIBSvgY7Gtxj+oVOZHY+MbCjGKCU8QlDmYGLv/AdcC0PSHOfEnfNsK4MvsOrGd7KHeX0jEfFE06PAXiEd9D6uA7PrgP5hV2Vj+gQbXF0crI0t+ZQ3Pz2lY7MK15szmPcWsOXh4E+9+KBRf/IPpad11cXA9EJDLgmpzk5OT3ds6t8z69vM4cp8oGjBn1x5uDH9IQy6QZt3IgHx/5re8YTA7uAAfIVfa5pNHoWy8MH4nSma3XJWk4P/OQ6nVV5J+7JZjzmbYXaU1fQXnx0Enxooz0SnamfsT392T952MHxin85PT/4wQ8uukKf3ubxKQvpZED6ZByPdgSwxtVYbl5PDOwrBuL/+Cu+w/8eEhy139lXfMx5nQ8GprPzfPB86l6OUowpzlGJrjsjRJw4s+GliL2eR6GPwNkC6sfGWJBOsZc+1pnXEwMTA+9gAI/gKa8xMYAZz16FZfBS4PIpdbzogUP8JN9nJQJGvu/A2UAH/rRInUDdDAX91Fb5Mz4ZBqwNZwRZGk7FyVYxfIPkonUVWo+T9Xw2tWzY0CN6ctK4ua17My+yvjmv8y/7vbnhPetk3VrT9bxsovGuDfebh6d1bGpb73XZeX/1MIBu0I9AVnBuPPvss8tJYHzmpNfDDz+8OGVs2AKywTc+2V54kV5Aa+iRM0e+gA/BJl6Ur1/xvvJp+Jrx5cIAehXijUZPdkpH1+g2XVl+sb2Jk5HeQHjyySff/eMfJ+w5OLX72GOPLa+PXzv8s0Z8Jo3txPnICYmPRhupto8bawNvGgNHZbxZfXOxf5JPr+rL/x98/vOfX8bgn9m91k7PmDP+NnZtxa/ZD2LhKD1UnzOeGNgXDETryYLR/0CPCuxT37n2Tdx4Zl/mP+dx8RiYzs6LX4NbHgGBcTNYl+k+g4RCJlAEhoigTEJJPgOgfPGEiYGJgd/EQHwlFQ9xkPgHZ0Yxg5gRznC2OWZMK0PR46f4Sxn8pg5Hi82wk2WMeeVtkpXHu8qOPOlamHB6DMA1/I5rGm6lFfSkbLK0MqcfwXZbaMNmfOP3kPQyzmW7ve5ea81VfCOw9njWuva68Y3Kz7yrhQF0QXZzzrzyyiuLQ5wM59SwSXP6DA3hu1EmqKcMhyc+9ECLbKcTlB1hpFXXtSMmc4QJEwO7hAF0yhmINkeadd0+Q160LF3g3OAc5CT03Vsn6p2MlI4veiBgrmyinI34z2vk7CLyWtk1H90qfvCxB8x4kzNztAOaE55NP5iLPt170IH/pZmDB4tsOXyvXfXkCfGvNjfhpPxbHf8sPzGw6xiI70e6N2b8ztlJVuAlunLCxMC2MfCblta2W5/tnQkGKM0RCJE1jGkJGWUoaIqcYGGguCZ8xqC8fIY5ha3MhImBiYHNGMjQxyeM8I9+9KPLq1gUN3DKx8b2F7/4xXLKUxk8xrDGd8rJ98dGr7766vIdONeMfW3aROPbvluV0Yw317Jg8whn6nEwAJ/WI9k54ra0sZ3yi8e8XbjmmOmEmY0iGts0D2OVXtjV+ZwEp+aEP+kzPGRum4K2bUrbYDO+52vsJ8H4/tbJdnLi7Dvf+c7ipOF48er6nXfeuch9p/hzboQJcoVjRlnBQy9lOHrEaHTkufgwvRK9TnkfRme8SxhIvtKdaDRAx5x9+EYY89TpLZbnnnvu4B//8R+XB734JB4ii9NbTlADf9x4/fr1g3vvvffg7rvvPvjIRz6y2EX6Pg3gRQ+aOSqNoZNnxt+8cqyyyfCkMsbD0em06ZuHbwOw29QnI4D65h3vhgP1tRvfx/OnmcOsOzGwixiIxvM5GOPIr3SihxzsUwdF8E91dnE+c0yXEwPT2Xk51+2Go6Y4R3BPeBQImk76pHxH4ZPxokxKf2xvXk8MTAy84yCioClxBjAeYqh7dQnf4J8CZc6R6RUNxrp8G13A0OZYYSx7nev5559fNtIUPwOb48Wr7pXXD54eeXaux3YwkIzU2rgBuRmucySSpzcru52R3rwVG8xoJnm/1g3red681ctXIn2WHjxqBnCFj62hkzk22pvwdVT9mb7fGGgDxiHyjW98493JcnZ87GMfWxweEumDkW7woQdc5LxTLOpz5LhXNqh9dQV0O8qj8is/44mBi8bASOfjWNAunUjvKEOuBmjeKUoPf994443F5knWOlXpBLSYjUQO4xNltdXbL2wsD4nZRcoJ+OykoO1f/vKXyxs1HlZzuBg/u4wNpn1zqA9zENyz6T7+8Y8vjk5v5LD1xPLUZw946CiuvnHG29oxR6Dc5PMFFfNnjzCApskBtJ597F7AIx4OyPOJPboykA8mT4SRGZ8UAyfXDiftcdY7EwwkDBIOOinN5k06AwS49sSRMm8zvGQMPylgsfK1NRSZlxMDVx4D+IOhTIHjEbzGMMZfFLinlgxYTlBGcEaz8r2uoax2/AO0kwEMezHD2GlObYwb43hx8uXZkV/ykoyEb2shDvfrnpWzhtY3Y25d5rzvjUMwF+Mj/12DcS7r6/Me51n3Z97j3I/qD+8K8NErlkeVnelXFwMcLo8//vjiaLEx43i5/fbblxOedAE5wFkToCdynLyXF22R+9lklS3Gp/FqaTOeGNg1DKQ7xHSNGKBzIdtopGW6yANc9tDrr7++PNjFQ05Jjn9ERJfiG3yiHXaQ/Yp07XGQOh3KvnI/8tyt4smYOGA5XrTDganf+tQe3QDSpcbkWnn8zxlKNgh43PjEnKXNf5NtII99JzaXCRMD+4iBeKC5uaf/0D6+c+1Bh71SMNZJtpQ344mBW8HAdHbeCrZ2qOwoBAxrvZkjGBgbCRJK1JNQ9Sho+W3sNk2LUu6Uy6b8mTYxMDHwmxiIpxjjDGCnA/CbwCj/yU9+svDkyy+/vGyQ8RhedNJHYPhzdNoI4GdKXzuMZUZ+hnK8P5X/b+J/m3drHLu/bPhus8hRSw/YvKE3wXWA1tyb32WcZ/M4Kqbn4CD+Uc48C9WTr5zycCLA1RqqB19rmpAXrPNKn/HFYqD1M4rWqLiRbVpHzg3lPJTixEAbTmiS85yeNmp9mgTtBOhJOeXJeLz2oQ996P88GBnHpa6+tCPd9Ui/tT3jiYGLxgC6ROPo1J4DoFehh4TSlYmG0TVnoFfHnYLEP/Ybvc2iHlBHXbxlD5NMZiOxlTgZOUr1NcLIS/VZ2iZ+wtu+t8lRSW/iV+NRNx7UfvPqWhlljdcYc86alzTtdTLUXEYwDqD99fjHcvN6YmAfMIDekwPNB+3TpXgPr5ED+Cl+iDe6r96MJwZuFQPT2XmrGNuB8gSGQDhQqIxohgOBQPlKS9F+97vfXZws1w9fnfV6hrIES8ZFBkDT0gal7BRCJ8/Km/HEwMTAexiI3/BLhiyepKwfeuih5eHCE088cfDaa68tG+Svfe1ri/Pyb//2b9/9Qwt8/MILLywK/6c//enC0/jOt6i+9KUvLScMHnzwwXdfq8K/Gcn6FyZsHwPWEbSuN+thl05koClGolf86IEf/vCH727kOGPoCk/S0RlnOmPTdwTdj071m8151/PhANiACulN6dZXLA0PwZO1FltLG17pdKVreJGvjsB5rA36dqQRuATp4eVm/uwMBshOa2fdQWtvvYLW2L3y1tkak9OCbwyypTgsP/GJTyzfD/T6Hf5BK4BDUx9oSfBNP6fE/v7v/36xwXxzkGNHX/pQVtx9tIVf0RT6w6tA3oSJgV3BAN4QOslIhuIFsQe2+A0N4wk0rKxTnODNw0/3/OxnPzt49NFHF6elfzjHC9Leeuut5SEwHvCZCE5DNtKPf/zj5TQo2YwPH3jggYXH8A/A0/rkwNQX2Y+v2E7GIE96/CSNw9WDCHoQDzvZqZ428S3nqrngQ/MSyAxtxI/moA/j+6d/+qeD++677+CDH/zg0rcxcYYmZ9wrCy+ux3aWScyfiYE9wwA+Q+/4BY/hczzq8xE+3eUbvPY6ZIcyeFYZ/BGP7RlK5nTOEQPT2XmOyD7LrgiETZDxnMA4qty6rnIZD+u8eT8xMDHwDgbwyRgoZQYtw5wBy8B1oppS95RfHp6k9N27FgBDuk0th2lOGoY5GHkSbwrSJkwMrDEw0kU0iV5ssNwLlRGPYd3WPtw31xvNpTIjLtKBxepX7kZtzbzdx4B1HPkgOZxcHWOzIcN7WGCzJqxP3WuzeuN1DhL9gTU9HUVTY/p4vTQyfyYGLiEG0D4nBl0k5gTx8A0vuZbGISmf7YPP2EVsp3hAGhtJemnHRYXyYx394X28iU/LE4+8vG6/cqUbPyeumPPUHMgLMRjb6z7bTj/1tRSePxMDe4IBdA3ir3Rg05OP18XxeXl4Zs1n5c14YuBWMDCdnbeCrR0tmzAgRITuKfAMCumMhcqMU5lKdsTGvJ4YOD4G4rd4jhHex+3xldfT8Z2nlQx55Ri/vlflZEL3yjKUOUedKrjjjjvefUVLm4BhrFyGwfFHOUteJQygyRw3rp0sQ3+Ag53znVFpYweUQaNtvJbEPf3Bb4X1FKWD8CFOf4arytRG97XlHo9O2H0MrGk+e8laj7xAbqMDr6/7QxXfYvbqrOCf2PGTtkD0UFwaHkQX2l7Lb2XRGjCGsW71pa3TlwrzZ2JgxzCwplN0L5SOxjkB6aJOTXaqEj/hBScs2Ud4qwfGeFIbnJO+7SkdD8arYx/KFUb0lCYG6niIgSfxJkdl/VSvOt1XT1w7ro2JbUdOON3pNKiTqNKB9tPL6rmP7+WP43c/YWLgsmMATaN5wT5GQPPxgesedpirPRBdGV9t4r3LjpM5/ovBwHR2Xgzet95rQoHwSFCsFTlBk4KtzFEDUXcq36OwM9MnBt7DwMhLrilrShsverUrByYHE6OaA5RRzGhnWHs9Sow/OUq93nj98LMT/uVX3TbS9Ygv1dU+0Oc4hsrN+OpiINpAK+jRZ0sA2nNi2Knj6Art5fzcZzo67tzCBxwyxAX4Adq4mV5U5rh9LY3On3PDgLULxnWSbp2duCeP2UlAOhku+EYgZydHDQcGx4xX2cnseEkd7aKd2hfjQWli/ZD/HD36QVvKVLd63asnTJgY2HUMRMfjOKPn8vAUZ4d7fMPB6GEcncRBWHl6qv0KXindiU71tMNRiTe1cSMeqa545Cdt4Gft4E2gT+VA9dQpTR2h+6Xg4Q95YA4+W6Q8WcKJe/3QlvN6PluOblGXHah+92SCdDbghImBfcIAurZfwbPoHe+3/8F36UM8g4+zteAg/lvz2j7hZ87lfDAwnZ3ng+cz72UUCoQGIGQIEoKGEiVE5JVfGeWqv1Rc/UxBs0LIvJ0YuAkGGM4UO0PX6QMOTJtoBrCTQQxsRjpelM8Q6KSC778xnJ3wrJ2xO8YCnsaXrvXT5nwsN6+vLgbQRkYmuc/57t5mEi1Ki2bQYPdXTdbDSdDc8RN8iBnl65N4yqczq1tcG93PeDcwYL0KRrRpnXJAksU5HdThaHFai7Pz5z//+SKz77///kU+k9ObTnbiqfpwnRzXrld26QH//txDB2X1tQbpY1vr/Hk/MbArGIje1+NBv2SpGETTZCybiP3jG7YeyLGNyFt8IXgdnK0EsnPYRU6Fvv322wf/8R//8e7JSeXxUOMQd61+98YRT7Gf8CPex5t0on5GUHZsd82n7gXfyKZbfafT3Oy9fHfUWzz0rnmar7KcPPoxJmNwL1ZvHPM4jnk9MXAZMYDe0bYY4G/6zx4G3eM9+eie7s0uVTZeULdr6RMmBm4VA9PZeasY2+HyhMEoEFKilC4lm8GdojcVQiQhtMNTm0ObGNhZDMQ/I+8xWgWKmxHf6xk5O210Gdl4kRGsrHKCk0KVlw9S9iO/jtc7i5w5sHPHQHTIqKQDyH00hV68Gsi4HI1KNNZGr7rnPugz6NB8wXpO7gtjt5XDs+GjkwfwGGyqO+a5rq3SZ7wbGBhpYlwj6fiFrTSutWuy2h+mcK74l2Wy2al7D6U4XjhZOC5q20xHG0s/5LsyTq7gPXTllLV0J9iOAu0Ujioz0ycGdgUDm2SjtBx7xome0b3TnPhHPnkr3YMFfEhnCXiFvuIsxF/KAunxHaeJMPJf46j8Uunwx71+SsffHKf4sf0R+V++eus6+hHGdtx7WC3NAxD61pw5YwUOT85Q/K9sD6u17z5d7X7CxMA+YQB94zMxQPt4WsB7dC5eSUeOvLdPeJhzuVgMTGfnxeJ/K72PyngUFClyDhZGBWVMoKyVuXKj4jaoBNQ6fSsDno1MDOwJBihu/HMUD+ZUYuQygJVVR8BjBfVzsFD84+agPiqLf7Ubb448vydondPYAgYYkYJN5e23375cO5125513LvSDjtCUeKQ3aftCU/FM8ymG3vLEAD8BfAhneMypIhtwG2ub4UA7Y1ula6P2SpvxxWPAWlkXcevc+kknY0EytbI2ZE5zfu973zv4yU9+spzG9+q6f4BGIx5Osak4K7ShTSF+0o7QPR3AsYKufM8PXfV6q/4bX2MT48/GrMyEiYFdwgCbJjqPf8bxSSNL0XL0zPF31113LXzz3HPPHXzzm99c5Owjjzyy8ISHCkA5zsMf/ehHy4MG/9yM17761a8e/OEf/uHywIG8BtLxWVB/4738eFE6nvUQwwONvg/KVhvbife0B8w3m8+9uWunOrfddtvBY489tsiNF1988eCFF15415lLXmS/jeNYj1W7EyYG9gUDo1yI7vHcSy+9tDg9PTzswUdzxlfxWbxX3ownBm4VA9PZeasYuyTlMz56YkjYZDQnOCpzSaY0hzkxsNMYwE/xVgPFd9LFDH7gPqDMOaTUy4E55inLkB7rKKs9YcLEwFEYQFvohnFpA0cXcLSMTpnqRksjnZV31WK4gDMxnKVD4UbaxNHlpgjyc9MaSh+DMpydvXKOd+R3Kg1PsalqL/pwv4ba7WEzmvIZE/GmsVQfveHjCRMDu4oB9BuNRufrsY484Zqt420zp6R9gxOf4QeB7PUwQLseKHjI5FpQFw95SNBr4fpK1ylzI2gc4trE32wwY9IXnguUE8a06tVXcXW0YWxObhuXOXmjwim2nKK1Wx2xtAkTA/uGgeh6jF3TfXgC/5AFHlqseQkupAnV3zf8zPmcDwams/N88HzmvVDGo0KmVClwT08oW4Jk08lOQiRDYT3ITYJnXWbeTwxcZQys+S6FnIIuls6IB5VxPfLsmI53veaeo0U5m2uGtHJjWe1MmBhYYyAnuQ2jP1TxD7H+5RZdyUNTZL+Y0yZdoJ1odd3mZbqP9xrzUXyz5iWbabqSzuxkJ36Eq3XZ2i6uj5uVq/yMzw8D6BxNBOMaubbhsvY5V2zE/MHIK6+8cvDMM88s9tS1a9cO7rnnnoOPfOQjS1scJBw1OWc4boJN/OSbfpymHCxOdvrjEvXx2ybaiTfHsdb+jCcGdgED6JydgkbxD5odQT59A+RFy045s2n6ZA/d9LWvfW155RsPassnHvDYxz/+8YPrh98/d5rzE5/4xMIvfc8T75DV4+cg9DH21b0xuCbL8R1d6G0HsZOdvrdpTMokK5qPNCC9vCXh12ldG+dXvvKVg8cff/zgn//5n5fvkD7xxBPLPDu5Sr/UrvHrc8LEwL5hAM90yCp6x8/4lX51Yhv/+2bvtUPdmo2lLB7rft/wMudz/hiYzs7zx/nWeyRQCjVOSDBAKPGeWo7/bqh8SnutuGtjxhMDEwM3xkB8JN4E+FAA8Vm8KpZX+hjHv3hYeu1nMLivfHmb+p9pVxsDaMPG0UbOtVeyPfyiE6IldDSGq0ZPzb15M845vsRwxTHVQ4ecwJVdU9dR6ety8/5iMDCuT/JTLN1624i55pyxGfOtTq/Oeq2Wc8Yr7NcON2X4CU3gIWXxU+2pL0RX4njNiS8PoP0Riz89yj7rIdYaK9qp7jpv3k8M7AIGonOyUVjTK1sGj6DlbCFlOPgEfEfGOv347W9/e7nuwQOniHpeDb/jjjsWR+d99923nJpUPidqdtSaB9f40RZQDs968MDJqr7XaPt+emMVF2pL2fqrLe0Zi3RjvnYoI/w5kddz8brvdrrH8/r1AFK7jZfcAdImTAzsEwbQNH5H6/iDjJDGtvKggV7F3z5ZET8rP3lhn6jg4ucynZ0XvwZbGUGCoZhQYYz32iKDgkE9GiOET2E9iJTwOn3eTwxMDLyHgRT4JuUcL1aGkStN2cJ7Lb3zKpb8eJIBXDl820a8OhnclSl9xhMDMICW0I0TMjaV6IROcKJFyLkjPbq7apiL18RwAOADzuCO/oQrRrgya6h+da8qHtd4uQz3rWextWv98AlnJycF56R7Ds5rh04Mp6TXMrc2xvRooxhOnOgSOE/96Qr6Gh2ltRP+oiv35Y1plZvxxMBFYQDN0yXikTaje3ZKtooxKpNzTxnOQScqOTv+4i/+YuEL/CbP6+pksXzX9Jg/+9EfJ4m2CvoY+w8f0uu3NG3rA+/hb+OxP3IyO7urMTcvdYC4vO6ltdfiqAXac3JbH5ycXmsnT9z7Dqk26BXtr227pYH5MzGwRxjAb+gdraN9/IL38DLex3vxvTIAb0yYGNgGBqazcxtYPIc2KNNNiryu5SUYlCVUBE9PAOHBUBidndLXiru0YvkTJgYmBjZjAH9s4pF4tVgZijw+xYeg+7Gcsu4ZAcrhXbxdnfpjMAgg3l9u5s/EwCEG0BCaQUc2imjERsspGoYmuurkzD4iDJ8Umh+cxGulKTPyEXzRlfATrjLCld1UX1ulb+qjvma8Oxiw5tYTWDP8IVhzr6U7kfXmm28uTgrl/Pv63XffvTgw1EEnQWuufnQgT72CdKfHbPC8Gq99JzvxorGs5fvYtjaU0f6EiYFdwgC6Rrvi6BO9AjQbn0mjf5QRqkPWcmYCn4cAeNBDpk5ALomHP05hOtHJ0Umn6VO75HNtV1Ye0P84NmnVwXteh+do8ebbeLLT/gmMc1JvnJP80vSvPXKBo9PDkfvvv39x3r7xxhtLP2KyhROU7s35o079aHPCxMA+YQD/oXU8AvCJt4w88PMwg/Pf6+zK4AM8pc4Y9gkfcy7nj4H3rLXz73v2eAsYwPwA868hgTCmU8gMAM5OmzaBUVH9FHTtjnVdSz8qb1123k8MXFUMxCfieGvEBYM+5U2pg/h1Xd59PKceA9j9aAQzBjK2x37m9cTAGgNoiNxHPzZW0WHOHPTllFk0dxRdrtu9TPfmVjDukedKF7chVgbe6Er4ytmJ75Rbg3rK1W7xuty83w0MWMPWyMaLjZSsLZ3zwwks/77uu5qcLk5z3nnnnYuzM8dM9KA+R4n6tdFslalPeRymnJ1AP5ydaAx94dXKV784e66xlj7jiYGLxkB0H+2j4eSlmHzMlikdzaPlTtA3B84PtC6dzuIQGWUsuSwd33J8cioexTfGcxQ/Scf/eNuJS/3hYQ4X7amrX6BssbRC6eU1H/N17bTaZz7zmYXfjVV/Tz311IHv9nLq6kuf+pswMXAVMICv8DR+4JsgF/Cz09B4IWcoOaEsXhImTAycFgPT2XlaDO5IfYJhhBRyxoZ8gmUslyEwKu2xjXk9MTAxcDoM4Ld4jgEcjDxXvrzxurLF8SveHvm6/BlPDIwYiPYyGN2jIfTDqBSDG9Hc2N5lux55bLwe5xtPjXOTP27O8RpcrdvovnhsY17vHgas07j2yVFp4xo6dcIJ6QSWQG5zqjhlxkEhBuppI+fG2PZRs+esEQBHC6eNENTGOB557vXVWCtXvRlPDFwUBm5Ei/EcHoqGxTkzXI+A96TlxMQjdJX6+IxjhGx2upPTRLoQ1J4xxSulVUYsTcBT8aF2tD86VypX3Ru1pT916xufc2z+v//3/5ZTqBw8HnDog3zh4DHPCRMDVwUD+Afvx3N4BT/n8I+X8SWQP2FiYBsYmM7ObWDxgtvYJBASKp6gJlAoWdfyCBPBdeGCpzG7nxi4dBhg3GbgNnj8NMJR/JlCp+DVYdSLldfm+HAiA0HMMHASQRmwqf2x/3l9NTGAfsBIS2iFoempuo1lEC3K3zd6WvNjcx5j84+f8CMew2t4kjMqXTnWcT3WW+fN+93BABpoHa2ttW59jdK9YO2d9PLHRP5QxPcB/cmI105vv/325bSW12eT1cnr5DHekSZEM66BPDYYB4e+nfBkn2nLfeU38aA2jH/feHNBzPzZKwygU45I/JQOMkH3eA+dxz+ulaeTXHuQgAezfeJVddE+PhF6aKCcPG1I3wTaVWYNeEodfOiVc7wpxK/qjSBdkN51+e7JAGPXlzL4vFOc/kHeP7I/88wzy6nxRx99dKnqNNuIo9qb8cTAvmEAX+AR+tU3q9mg+B3PxZ9issDDDOmTP/aNCi5uPv9XA1zcWGbPx8AApQoyetdKV15lXKeYCZEMiOqKx6A82JT2Ts78nRiYGBgxEK/Eh5tiBvXacNZGvFl77gtrHi5drM+ManztfsLEwBoD0aJ09GLjaANmY+jEGmMToKnKRmdLxiX/iTdNY+SnpiV/E/9Ib+PK8G4TPZatvXgv/NX2jHcLA9YHbVvL1u6oNeP88A/s/lQEn6AF/8LutVROFnQw8oyZJo9djzQx3rsG+FCb7DEPHPTH+QO0m+PG9YSJgcuGAXw18ln8YB54R4hf5I00Tz/hDWWAcvhEcA207R4v4qWxLe3F367HvkvXBh7zB2Sd3OZY0S+oTvGS+Osfac2hfLFgHDlnjVGacfoOqIclToVz9JArb7/99nLKE9/XjvHBhTCOdexf+lF5Y7l5PTGwaxiIR/Ac/cq2wht9T954o+8eAE5a37VVvLzjmSc7L9HajcYvhUsQEBgZD4RJytK03CdgKGEhKL0446L87otLn/HEwMTA/8VAG9QM3krYzMajDHn8Fk+5BmIBf+Lp7svXNr7WdkE96UB7tbkkzJ+JgUMMOF3j5FjfBfMnDL4ZiMZsuGzu0CawKUNP0Wr/KLtkXtIfPGGugs0n3hn5BH+ZtzRxZaU7cWAzDIcMb7iyIQ6UBdpUPt2snQm7iYHWt9G15tlGyVu88ebhHxP5bqcHAvjmvvvuW/5EwXqD1lmb1atdsTR0VV6xPP35Q4Zr164tNPbyyy8vzlTfz0VrXnHlyFFHP9qJRsc2tTVhYmDXMIBHeigQ7Y707xoPiOUDsjWZ2nzKFwtAvbUcl66d2sRD8UmxMiOv4jF/EubVct/g9TDDmEfQnjqNsbaMlbxPBhjP6KClR9l96ivLyfnRj370AJ9z7Cj/5qF88Xq7b3fmGNUX/Wuu2lMuSL+IlVvjQJow4qq6M54Y2AUMRJ9OdeIFdukDDzyw6MJ4yTjRNvsL/8R7uzD+OYbLjYFpmV+i9SMsKDvCQKAkU6qEhXxpyqT0xMpSuq6DhIi8TVC9TXkzbWJgYuA3McDAzilCSQfS+rZU6XgVjwqAcYzfMqZHPi0fb6tfG8rE69qLn5cG58/EwCEG0F0n0zhSnEy74447lhMlNltoiDMU/aAr9OieTtgHZ2e6DQ/ilfgr4nBv7soJNpr0qXQbVHzJ4Rlfx2Pp4ZFn1ZWunTX/1t+MLxYDrZsYJDfRvuvW3h8T/ehHP1r+Ld1aekDwe7/3e0vcDKKt7texekeV8dALH3K0CK+99trBww8/vDhc0BqejbbQXKHxrvua9xMDu4QBdL92HI7jQ9uceSMcxStHpY91XSuHT0ZHI74eZTYdAKT5I6Qf/OAHC6/dddddy5+PcbCMkK1VWm2tx+ReSK40BvXsu/y52W233bb82RkdjMefe+65xdnjT888+IAv/J3+dT32k61oDvpJPjS2ZJsxypswMbBrGECj6NOf/n3/+98/+NSnPnXwxS9+cXnYgE/kV8YDxkDapOmwMeOTYmA6O0+KuR2pt0kIrNMSIjsy5DmMiYG9w0BP4jNQM04ZzIxoSl4eQ9dri4BBy3jtXhs2wgzfcTPgOiNgVPz6UL8+9w6pc0KnwgDaQ0/ojE5gQNp4+R7Sf//3fx/89m//9kJn8gQ0itbE+wL45WYwlgkX1XE/YT8wEI23psnP5LBX6zgafa+TM8QDgoceemhxVHBgCHjjtPyBL9/3vvctTg7Ozk6QwrJNX6/1caCvnR77sRJzFhMDZ4MBvM0ewqPxuZ7wuocZ8uhEvIzXPRD0LV4Pt0ab6ySjo0f0o++cl9rRp0DfOsnG3vv5z3++fA/YQxU87+S4cXnIaNyCttJNyRzp0rovXz/rOUubMDGwaxiwB/LGhL0LXYhu4x00DzbR967NY47ncmFgf3Y1lwvvc7QTAxMDe4QBm1LGsjiguN0zYgUGL+UundGaY8krVQIDgCEgbwRtCOt07TAYMhDGOvN6YgC9oZs2QTZSnCzoyInFTnVmWEpXp/urhsGRv7pmhBeuGj72bb7WtHU1N3JTaH05ODkeOSDxB/nsBCaeUYas3QbgMY5Ur7FyaHrwQO4D+oHzwzilTdm+DYzPNq4CBvAM3YW/Rj43d3yEn+Jh9xydHKAeRgt05WmAjNCuMYy2YDoYz3td3klx/fpndqfcyBz1lMP72YXSanOcW+0Za/PUp9D9aeYx604MnBUG0Gcnn/EiWo9f07HiCRMD28bA6aT7tkcz25sYmBiYGLgkGKCUc1IyljsxwJBlqDKuPeEXbJ5feOGFZWP79NNPL0ask3YUvs01he/JP0PYa03+xdMmm/GrfoasPjNoM6hPa6RfEnTPYd4iBtBHBiQ69Y+zPgj/7//+78sGC521oVIOHaGt6OsWu9uL4m0a4zf4KdxoglcZZzfCy67kWR9rClorcelk9Y9//OODp5566uDVV19dHgRwTHz1q19dHJCckGS1+LSAL/3Du4db3/rWt5YTXv0ZEj3goUQPvvBl4Hq8L33GEwMTA+9gAD/nPInP8QwZ7uGea98KdO10JZ723czr168vJ6pPi0ftkzPGoE9yJRnjBOmXv/zlgzcPPyHjX9nxvAcd9O4nP/nJ5QEI+aIN9QTXgEzQZpBOEiujjTG/cjOeGNgVDKBV/MYW5ejn9PTAz74JuBfwDx05YWJgmxiYzs5tYnO2NTEwMXBlMMDIZDRzZHJKChS60zpixmqbY69Mvfjii8u/cP7Lv/zLksf5xBBWXznfdbLB9ppTrzAyzLW73qhDck7OjPorg/g50WNhwOanTRcj0oaJ41wammN0SgdoGY1FU8fqYM8KxUfw4FrAx0KbzuLjTF3Z2jxO+VnmbDHQmtZLa2OdPKBywsofJ9iIARuxe++9dzkB5hTYrax9fWyK8Zjg+33GwLFJ5uNJr7DjUfK/8WljW31vGs9MmxjYJwxkK41zwj90XfoNf+FzPOYBoJCtNtY7ybU2492xT6/Kkyf66QH4r371qwPfCMb/vWlhrJxC6tI9YOR/19KVEdyb83R2nmS1Zp3zwkC2FDqn89zb3/RQPpo+r/HMfq4WBqaz82qt95ztxMDEwBYxQFEzXBnRDFwGZ8qbUcvh+b//+7/LRvqNN95YTvH4NhxDltJnqDJ01VE/hc941a7TnwyCDNmMaFNwPRrBW5zWbGoPMIA2oo8ceKaFlgQbJd/v5ExHq5s2iXuAhmUKI98cNSdlCuErA118KxDexcfp+1banmVPhoGRH7SAB8hhTsa33377wL/EOmmFH8hdD6MA2U4+b4M/oiNt6Z9zk6OFjvBKq2/qeksgh4i+1+NeBjV/JgYmBo7EQDyTPBfjuXiY7vMAGg+yswR1TgP1kbzXnn706VpMtrDnnOwme+hfD1J8JxjP+8MiYyIntIP/x3E3vnF+0uqz/BlPDOwaBvACuh6d+NF3adF1Y590HSZmfFoMTGfnaTE4608MTAxcSQwwQp2W63ucFDVDlTEbvHn4yhLnpn/f/O53v7tsrN96663F+PWNOAaAjS5D173Ndt+Nk9erx4xkMG5+9T+NgTA94zUGGJYCmsyoVKYNF/pCi06wjQ77dTtX5R4v4Sm4Cl9wxBAXA2Xw+c2gMpM/b4ap88lvE4UfWhsOTCe8yFufdvD6On5wut6rrV47BTlEtiFv0ZH+9Y3GPvjBDx7cf//9i7ND3iOPPLKc8MejgrLjmM8HW7OXiYHLi4H03lr34Sc8B/A9R6P78WHyaWZNPgggvtWPNPditqITng8//PDSrxNu3rDw79Tp4uxHNmFyonbHts3P+NNbS8fzZ2JgRzGA1tlSDnmgWXoVfWcjpefwyoSJgW1jYDo7t43R2d7EwMTAlcFAhmZPJhmfjFQbV8rcRtq3Ol966aXFkQkxvs0pj/FdOfdO+airLacOnDiSrswIOV+UZQRnLIxl5vXEALoRokm0BNAZGrTx8hqd/GiMoXlV6al5i7vO8C6+Faq6yri8FTxdZFmy1DeTvUpqM0amcnbefffdy/eTjc06Jmeji5OOuQ2d+vjOCS+vtvaQy6u18a2NYHRXfNJ+Z72JgauAAXwi4LN0Gj7L0RgO8D19KO+sgKzIRhv7oHed4DRGjh9OV3Yie8/pbs5Qf2YkjGBe3hQydpCeSjaNZef1xMCuYaDX19GtB+wOiowgHS0LEyYGto2Bs5P02x7pbG9iYGJgYmDHMJADyTffBA5MBi5DFrx5eLLziSeeOHjllVeWJ/dOanpV0Uk6dT35rw1GMIVv0+20ZxvfPlQvL4NXmnvGekbCjqFmDueCMWCzZ2OEJoXAJsqfEwGvzzE6lY2+KndVY8Y2noQPfCy0gZYWHHVd/ox3CwPWUBgBfzh574GUz4lYd6c6/WEIHiHTrTOZPq732MatXOeAQVOcmdcP/xjFa+tf//rXlz8s8e/v+gT6BOkS/W9jDEuj82diYA8xkJxO9zVFfM3mYjeB7KezcqzgU23j4Ww0/Up3cvPBBx989+G2Pyvy52jG7GQ3+1Cdvuk+jpHDiM1In5Mf8oQpF2B3wi5jwL7G22tolUMfPwb4Np4Z6b38GU8MnBYD09l5WgzO+hMDEwNXHgMUeX8wwZilsBnYTmj6189f/OIXy7eZ5PWaks01ozulT9kzZBm0Nrz+mV27rtukizPkMxCmoXvlye+GCMh45DRx7VTnPffcs3yjkDPeU3Z0ii5z8t2wwUuWiT+O4pH4ypQqI4Yncbwmjt/GsqFC2bEt14XareyMzx8D1gBtg5yHZK2HSmTz66+/vpyk8v1MDkcnOzkcPHDyMGB0WJx09CN9oCc05hQp54Y/rfPNUKdMX3vttYUnpRt39DNen3QMs97EwD5jIF5J9o5zxW+dpGR70YOchtK3Dfo3lh58s/Mak5icIYfIFvadN3/w/rPPPrvIJI5MDyX7fq/xqefhDLmVo3PKhG2v3Gxv2xhA52gXffs2Np7j7PcJl/hVTMeOdlfX2x7PbO9qYmA6O6/mus9ZTwxMDGwRA4xo317qNE4GNOOUE5QzyQaX4qfUM7ql+VdeoCyjWFkGrdebGAHSGQsZBq61475+tjiV2dSeYAB9RDOmhG7Qmz9f4UjxxwicOTZ+6BGd7TM9jbi40RLHV3CBzwrwdxQclXfcPo9qd6ZvDwOta3yQzObw9Bq5k1QcDOQxRwj++K//+q/FSerTD9sAY9A/mkJfTrjQGdp3r0+vtHYSW/loaLzexlhmGxMDVw0DPeDwEBmve9C8bZ0Xf+NXbdO57DqxPGkeLOJ9zk4PWgB55MG4hzLXrl1bnKDyg9olO2on2VCZGU8M7BIG0KmA9u2P6Fn67rbbblse6DXWeMXeaKRzvDJpPCzN+DQYmM7O02Bv1p0YmBiYGDjEgCftDOc2qRQ2JS1Is5n1BF/MmGX8Uv4cTNKUY8QyeG14pbsWtLU2yKVNmBjYhIFoj+GI9jrRJh2N2Whx5nh9F60JHPLoM2f9pnavShpezMiGszEchQN1lBuhevImXDwGrIPQwyOv1HH2k8P4ggwnizkYXNugifHPem1PMht91xb6KmjLKRcPt+S/eXja2okuDyTGU/+Tjk6C9VnnqmEAX9F98ds4f7qO3sP7TlfShcpvC5L52tP/mmeTI/r02SLBwxXf7iWDnH6jsz1kIQ+ML9CWeSWT1m1XbsYTA7uEAXRNl7IxOTvp2A9/+MPvHvIw1nhFjEeUH/XjLs1njuVyYmA6Oy/nus1RTwxMDOwQBt73vvctT+opa4ra6UyOSvfvf//7F8XttXSGKocSxxLl74SBDS7FLlZHOoNXno23PEYuowFovw37DqFgDmVHMIBOGIwcJdGPoWVEem1d8EqRzZ+TnU6TSVMHrV1lwLN4MV7Gb0J4lT6C+zHA8xjGsvP6YjDQ+uid7LU+nIq+lcfxwbnoxDMeIKMB3ulV8jZs6OI00MOEaKjXWz/96U8vG8Cnnnrq4Lvf/e6iI+gUuoNDJOfNafqedScG9h0DOUiO0mEebjz99NPLCUqfqnCaO548LW7oCHIFjHKiMcnD9+XF09cPv9v7pS99aRnT3/3d3y0PXzhABY4hJ1CV1Y57/dRGcuS0Y5/1JwbOAgNoHr06Ue3PMF999dWDxx57bKH3Nb+gb6AOvYjm0fmk8bNYmavX5tXe1Vy99Z4znhiYGDgDDFDcFDSlzlnpCT3D2r/8ekpvQ02JU+jKAZtqaWIKXSzfZtx1J0UzipXJeNDfhImBTRjgmBHWhiL6kYbGoh/XyqLbHC+b2ryqafhNOAnAtzBhtzBgPdE8OStYIw7FHAjlt37KjvyyrTXVrodbeI/DhSMDPzpp6iGEB2Z40oOvCRMDEwM3xkByes2f0oVsK/yFr/A8G0v6NgA/ewhNjrDZGo+2xz4an/LAvQcb5ADQBrlEBgjjQ29lx7bGNmp3aWT+TAzsEAbijWxM/EGnCuh5Tbvx7A5NYQ7lkmNgOjsv+QKmUEdhUVrxmHfJpzuHPzGwkxigsCn0PjLvxNBzzz23/MuvU3PyvTqMJztJYHPL4O70nXvGAODsdNpIUAZogyHMKGYEtwFfMufPxMAhBtAXGkFH0RXESGdgBu7pBTF64lixwXK/T2COhfW8jjNXZQrqp0uldb1u1311xBN2CwPkJh7xrU7BOjpFxalIhuMHgQwmqzkbOEg69Xyjdb/ZTMe6+vJAzBhuv/325c2A733vewdvvPHGwZ133rl814wTBB9PmBiYGDgaA+Qsvu6BRSWl4zPBtQfR3mig7+6///7FybiuU91bjckMDy/Ya2RHvM5uA/Rv18ZCR5Mt5M4nP/nJRRb8zd/8zZLudd/+sMyJc2WMUxjbaF7S6+9Wxz3LTwycFQbQJHpFn3gOTePTHuDhF7wy8ks8K54wMbAtDLy3+9lWi7OdM8HAJkUmjZAgFDg/CBUKVZBOwFDANrGUIkiAjE9YlAukKytNOwRT9ynZyp4kTpCpu26vsY3p0oypzYd5rcHGhdA0XpuT5mPc0rWn3tiuPG3DYWHdrnzzF7Sr/lhvbK+66igDalccyC+oP+ZVZuyjNsrbl9gcRxo0z6PwEb6aeziTDtY40nY4VKa2x/blg/UaWuvS62dJ+PUPOjRuNIfnbFYZ0IxTsVc1/LOm+Kc//emySWb8ChyXzRtP5pTyGjGaNRblvO7OMcoY91rluNk1JmXMKzofxzevJwaiC3SKnt0LaBfNMTTRETr77Gc/u9CS14vQmtdmydHkqbIjjxzFNyMv7toKmKv5r/nZvJIPxcZO1nt1EN+FS3iET22M7blWtwA/0mp7xN2u4WVfxhPu0XZrM+JdeusiVt4ak8/PP//8whdo3j+jX7t2beGB6KW1lF/aafGmf/REB+AvzgyOVGPDk8Yg3wMzY6ILjENa49k0Bu3KF4PiddkRN+u8eT8xcFkxgPbxOj7Bq+hcmgDIb7aWPwHCz9cPXx/3kIMs2Abos33X2J7+12ORr7y+PeT2Oj0ZcMcddyw2Iyeot4LYjPR2r9s3n+RY92N/83piYNsYoEvSJ2v9UR6aFKJ19I12f/azny20jDfuvffeg9/5nd9ZhqfczfRqfW57PrO9q4eB6ey8RGue0m7IhAVlSaA4eZDiHJUug1o6AwAkmChT1xSs8oG2GAUcKgSReu7XzsLK30qsP8KQQeLauMypMdXWqMBdGxMjhcI3jk3A8WQuxh3Aj/mbR0+SyjMnYO7j/MsXG5dy+jcO45Vm/Opofw3lKy9fcB3Iby1uVF8Z/VVmbKO2LnMMh2jQPHMqmOOmecIZugGuw4lrsMZxNCsWrD9cplhbg9pZGjn8kR5doLOjxoIe0BuHptObb7311sGbh99/c0KH85Ny169yPjCfIWue6NETzoJ2GqM8zibGAKOXs9NH9NF1YMzaROfmNGFiYMQAmkXnAp2Az5Ll6Au9oXO0iM6+8IUvHDz77LMHvhXI0fLggw8uPICO1XOybOST+HDNq+7jx3E8u3DdWMUjuE92jGPHV3jWJhQe5cEjfnZN9o+yWZvVLx7bHvuc16fHAByPa+keXaJv6eg2mpVHplu/6lhTZchpzk68YL39SdCnPvWp5c9CxvVVngwWbwMaq/GiMc5O/XnAgAfvu+++RSdwdvj8iXEL5nGU3dG4zHcM0t0X11a4WDLmz8TAJcdAdM2WouPYb3gKz+IZPKeMPCc76TWnqXu4t43p61N/yZ7abGzdF1cWf6pj7Hfdddfy2SO2JPnE1iMn6GWOzyAeN7fJy2FlxmeFAfSGPsGanstLz+I7ZdAmm4ke8x1qvPbII48sbyw0Tnp43V59VGbGEwPbwMB2rLdtjGS2cUMMHKXQCBTAmB+VrPTyUox1kHASt3ktj0DTVuliacpuAxrLur1xLOZhvtKMxabdyTkOolE4KifI911Em5bxlQ/CVzpHp80MY8GmZWzf/ITGk6AO3/K0o981NGZltBm+x3KVGQW68kdB4xjLV1aesCmvMpcpbh7iEZpnuEAD47xdwze6hEt4dz9CbY9pXatPCSvTurV20upL+fghJxFD2b9kosVf/OIXy2vqnJ1eVUeHNqzGy0jlqPQHF07MoR/GsHaiSWk5pPSPdp3icZrHqYPbbrttMcrVC4wvA34958rM+GpjYKQL/IGegetRtpOHH/nIR5ZNlQ2VDRbajL/QWiCtUFqxdG0LaHOsV5mLjG80nk150ugMfOe6+ZEF+FTaGMKLOCi/+xlvBwPhWmtwHLRGaH9cB/nWTUCbgOz2oI1NQZaTw07ycjSSueRwoC1tRgtjn5U5aaxddMbmMD590RV48s3Dh2ceptEPQL/y13Nb913+WHZMU979NuexHsO8nxi4CAyg6eg6fRTts+E9wMP7IJ4fHYinHTN+Fo4LxprdqQ5ZwO4jD4zTm0Je+wWujZUcqg9zbL7Sul4qzJ+JgXPAAP5Ch+xKIT0bjbIr6bGXX3550a90LP0a7Uazo05Stz1O+ecwldnFnmNgOjsv0QITCIVx2IQDpTkqTuWkOzlAsSc0pANlEzhjW8pVVrrrBNdY7iTX2mqMxlHbzSmhqT+BoOQ88h1Er1lS/F5BaW6dyLAhsGkhIBkKHJoEKsFrAw8HNhGe5HpC6p7RIJ8RZOMjcIB5rQW+9G98jbH5Gr+8xsp5ZYwZT82x2Fj1AYzNPWjOyo33rpUD5blW3ngpFPnhUd5lBHMY52l+5ts8zdX6w3N5ra9y1kAZaxY+pAvu29jCTe2KgTYZk9rVByOTIWkN1a0decrZFFPWThc/88wz7zo20WU0hBYpcptmzkp0xNH5gQ98YPkWm/UyVkYrh+kvf/nLxfhGd9GavjnlOUl7fdG4xrU2ZuPXr3GOecvk5s/EwK8xgK7RB7oC4vGEGvpB87/1W7+1/BM0mkLf5ORjjz220FmyLj7UTnzkGshDx+pz8o+8906J3frFQ8E4l/FamXhNWXlwAZ/isY3amvHZYwCt0YHWAJ21Ltaje2nuW0/XyqN1db0ezi7obREOTnYB+Y0/AvSsvDUXaq/8k8baoi9G0I+5OXHW6S7jY1tEa7fS/1h2rD+mj/3P64mBy44BtE0G0EF4Cf8ms/HSk08+ufC9hwnXrl1beBt/0ZO7wBfG6o0ecsp47XXYi+bSd9/ZhvYveFowfvnmYE8zYWJg2xjAR/HWmk/QoP2tvQ2Qjw7pODrNmwn2Tw6GoGV7KmXQurrjfbwqph/lr/vb9txme1cHA9PZeUnXehQE4/U4HYLCBpcBkPJXNpC/SZiMaZUZ06p/0tgYxnHUTmnlN2ZCkzDNqeneeBg1QDqhCghKGxbl1c9YkG4jIS1obvK6Lq9Y+qb8yhcrb9wUg77hXL1xTm1ojEE9eeN4uq6/xrCPsfmPsL6XN+J2xElly5cHopsRr5Su+8osBQ9/3EuXXx78WyPplHB0xcnO2GSAcnCiNc4dhiZaY2hyrqNHzkqnMxmlHJ4cSRyg+kAX+tM2OkEjrqUBZTg3ldcW3pXXfJUxtoL7CRMDR2EA3Yz07R6NxTfquWac2kAB8lIA8QV6Q6/i6i8FDn+k4ZtC6fsQx2diAFfFXS8Jq58Rv6usebsFDKC1Nf7Dubh1q8wYq4u+yXHXHAvJbbK8soapHXQfH2xh6Eub2qmfaKu09QMJOoOuoSvUqd42xjLbmBjYJwzESyOPuJbOIeNAhJiuY2cBMmBXwFiNTSCL6G7yh53pUIXAPg2UN/50c+kznhjYFgbwzia+khafVcZ9QVp7KDrMPT3avtj4pKFfdVzXXmMv3f06rzIznhg4Lgams/O4mNqBcjE8wTBCQmTtGCFYnGgEFKbTDJwyyglHCRj91Jd4vcEd+z7JtfbGvutDOuEnT0hYOl3HUOFw8k+lNirmw2Dx3TlGAAeUTQwHlc2774OYI0cUBxQDQpsPPfTQu0PWn/zwpl5PpSpkM6RM+Ghs8mtfOwKhblyO7Rsb56rNSwaJ12jUYcjoR1vazVhRDuSgboMjLRzJayzS9xHML9zCSfgVy2v+1gUeS4N/xiB6QDvKe0IIZ9bRPdC29XE/Kl+GcH8q9MIK0Sk5AABAAElEQVQLLxy8efgqoROYXlO3pjk4jUmfNsm+r3b98NUj9IbGODedytQ+3jPG+rXe1trJAnQiuAfyGrM6xs3pGQ3Ij46ik6Xi/JkYOAIDaAfEL/gALaL/wDU69X1Yp5d/9KMfLU79r3zlKxVZeIpcRXf0B9Cme/yG7+I9PLErgGcEEA7WYzsqvXLmqA3lkheua7v2K3+z9io345NhwHqQ0/CebNQSvKNv+WSqkN5G48pbPzL26aefXr61TJ77Tuc999xz8OlPf3qxJUbeQNvKqCt9G2s7jl2bxmnMgnu2ipgeods8aHvllVcWnUKvrOnN3EsTdy09GPVPaTOeGNgnDKB7vJQciFejfQ+q/+3f/m2xvfH73XffvcgDdXYF8D17kgywxxF8VobuJQPEbEz5ZJ85S2NHuifvJkwMbBsD9ODIV3QVkBbfSUOD+K10+3V/1oqOpbWnsRcD6qQPtYN+tTGCdKD+hImB02DgNynrNC3NuueCAcwvEBQEQMKFokyxNxBpNqcECoXIYWgzSqDIq43Ki8c2u5e2bWGzbq9+x3mYj7G2Sbeh5rB1LL5NiNeE5XMumSdHl3ll+GgPuJcvFqSHR+XrIxyWp67rxqusoH54LL8y7gvqSxfUEfQhlF69+mr8yo556tSXspcdzAWYY/Na4yRciYPqjfetixhop7ojDitHgaMDdCSgLQaxP6zgNH/xxRffPc3ZqWE04rQmHrIR5cz++Mc/fnDt8JUo15zYjFGnOil090Hzcy8dveq/8YptxIFxoy1hPe/mPs5pqTR/JgZ+jYFoLRpxX9qaptAXWrx+6LD3hwh0BPkK0Kf8keZqq7TiX3e9U1G81aDCR/c3i81NG80RLoTaKX3dTvnr9Hl/egxYjzVd1mq0Kh+0Pmg+24DzwAMtn8Xx2jr7QeD0JLu1McK4/mP6Sa/X7TUfNKNvOoZ+8KDLAzQPeo3VHDg7j4Lmqp1N1+pFl8VHtTXTJwYuGwbQvIC2BbzEfsZfHIJsOA+u8RC+wvN4apd4wVjwvfF6O8gDD7rYnoZuNhd62mc3XJtjYZfmcdloZ473xhiI1pTCY/SreDxoEr+J0aIyHtQ5KOLaJ7160y1np/aiW+2tQZqgTPG6zLyfGDguBqaz87iY2oFyMbyYACEEEi450RIehiuNs7OTbpw5hA5QD4zlu5dWuriyS4Ut/ZjDGuqnOSUUbUI4mIyFY4rjlmPI/BgFcMFwYRgoq23OJ2k2Dp4ouSacleXoUld77gWbDE+WGoM87RD04sakrqCtjCV5Belwbrw9aS2Wpy1tg/rSjn60KwbGtAmquynvMqWZZ7i1FqC5FZfevOBOAOLqlx7u0I0Av3De2qgXzuGaU9NJ4f50yOlNJ9sYm55KojH10RQDEx05EYDm0BXl7dqTdmtsvNZS3409+mrc+lemsTTXxqictMJS8Nc/zbM5VHcsM68nBmAgOnKNL9AhmlzTlXvOTjRJbnH60xecQ3iEXFRGHA0XS49uo3dpuwLxi/E01sZXfLOxJlOUH9sofV3/uO2u683742MA7oXWN5wXa2mkUbTbw6y+l+wbYtcOH1JxepDhTjej5bEN1+h6nX78kf7fkmP7jdNY8d/IQ5wexocXfWPUPVjXXxJXP8o0/1XWseqv68z7iYHLhoH0EhuOo9Peh72HN+wNPJBm28VzuzI/42FLkkcC2UXWcdTiaQ8j2ycYP7mxi/PYFXzOcWwXA2gQ/YmzDeMhsZD+sR+nZ+2HfIvWW5j4zt4J4NH2QtrruhFrRwDF5c14YuBWMTCdnbeKsQsqTxjE/Dau7hMy0l2PRrk0wsPTQdechI6Tq+u+sq5HcD+mjWXHcqe9HvvQVv107Z4SB5xMo7OzOdicf/SjH13K2LB7TZyAlc9BBScZBNrjnBIT1uZvQ88QYhCpT3hLZ1w4UcHppXyCXR5DhPDWxxgMImGtXUaJNrTlXjvGqw1gbDnIXAvKaFOdgrLSg/G6tMsaw6uwhvUcKxdOui+uvnrwax3hE7iHf/RvPTjKBcajtfe6uqePnWhz6kf5aIhydhrA60U2nA888MByIghN4q1opjGs48YoBt0ba/Msrm5l1+nypUVDm/JrY8ZXFwPxCR5AK+hJWveupaEfgfFJXpJPZBj65/hXt1fmkm2wuqZh7cZz0eYuYL95xyfuwXHGWN3ksTbUC2e1tQvzvEpjCO+tT2sSDlqf7ovRNJn/2muvLa+GekOE0+PDH/7wIs/pYm1a7+hDWzeT77V/3Fjb+tG22P3Im7XDAevTEo8//vjB66+/voxRnjojrO/Lq30xWN9XbsYTA/uGgfjLvNj2HC7tC+g6Np2AJ+L1XcGBMRkj/uccopPtYcguc/EQnuwir8a9TfbursxjjmN/MIBH0iN4i44U7IOloz0xGzF9hlbRrD/ZsneyT3fQij3Zvl7Z0a4caZhODOq7+xlPDJwEA9PZeRKsXUCdjFoCIWHTMAgNRjmhMAoGgoSDj3OPo4fwYfQD5RMoGfjVL1bO9SjspJ0Gaq/51JZ74zEWZYDYHAhVm3FjNpdeI3bK7g/+4A+WehxR6jc/Y04wS3etvra0wZHJaHCyz6ttnqLKI4idAuH08uqINDjn3FL/Yx/72MEjjzyyGB7a0J/y8o3V02PfKSHktcvBzKnGOPnEJz6xCHtzYWwxaBg2nGbGq5/Gbf7GKYT/cCcOR8pdRmhO1mXTfKSPwRpGH6Wbt3bg3bqVLg24T+laT989sqbWxWkZa4cG0Fxt+J6mNfEkkpOTghZbL+loDx3ow3pZH+NyLazn0pouA/r1mPTXXLSDxkYY56E996C2x3isN68nBtAKeYS20Wu8MGIGT3D4o01l0BNgiDrBjD5/8IMfLPd9QwzNK5d8VUbbBfn63tTf2Pd5XsdH8cuN+q6sWHl8bY7i0syttkq7UZszb/sYgP/WwRqQo9Gce4CugbLSBA+zyH//yIz+k/FsCE5P0IMwupy+RtObZPpS+IQ/9EzjFGtfMAf32RNeq7/99tuX8bJRrh++vgqMXRvmtoZ1WvfreF1v3k8MXHYMoPF4KJsZX+H7Z599drHB2dteYafn8D/ZAeKPXcEBW9Y4PYhht9pnOJHulLdPWpALoyM0eWI+5rJr89kVvM5xnAwD9A3AX6NdJA2tZftFd3jOnpdj3jX9+qlPfWrZ79aWukAd7Yqrj47ZsPj3KF33Tu35OzFwfAxMZ+fxcbUTJUeB0LWBdU3xdS1mtBMYjGjGfIqxOgTLmFa6ONBObZZ2FrFxrMeiH8LQHAg/+a4ZBDkNzYEBU35jk25zIG6e5qGN8EEoe+oLOJ0Egtb3Rjgsc3LmbGVoAO21GRYL0rTrlRkONfUT+NploLSZsS6e2o5jDs/hQKxNAAdA2nmsxdLZGf8033U34/zlwUEhnIQHcdfKhpvKwbdTnZya1sIpTk5/p2WsGZ6grBm/1sI6C5yc1jpnJ2c6mhvH3JjE1kef4xi6bkzulVUumpF2XKjv4uPWm+WuFgaiy6NmjfYYrWDknfgATzBSydnKZZDWpnrVTTaVd9li81iDtHi1eY58PF6v6877s8NAss+aFNa9rdfGOtLpHkSia4C2yXlvdJDrIL5QHmiHTtgmrMfffX0Yg/7ZB2wPvMXJQYdJb2yVP0m8xs9J2ph1JgZ2DQPoei0T6C82Pv7JvqfnwK7qLeMyVvKJXeqaHUs2cHx2yMIckh/NWzz5G2YmbAMD0dfYFhoboTKlo9UeqLumXx3oodOO4rna0K526DllJz2PmJ7Xp8HAdHaeBnvnWDdhUEwYuAalJWwSEJS6p5mUPScPJxzhM0IGtDYY9msBUx9jndNe12ZxilyckBs3GQyWhKaTqoAAVdZJPUKUQQBqw7V8G3d5HIvKSWM0OHHp9ZYnnnhiOT3BWWoDRCgr4zQFnEm36WgT4h+L3zz8l25OsAcffHB5tRmOPXH92te+tjg5v/3tby+bKn1rK+PKK3Q5an0rzCvR6n75y19e+nVq0FjDCxy4Xgdz2zdAs9YZnoE5w5s4BRl9N/fSrTka52C2mUUTnNWd3JXntVwxJawPuLbWXhW8du3acrLXWjjpYw063YPOrJk6+nFCWtxYlFUm+jCm1q3xNd7mpb3A/NawrlcZ6V3Xf3VL737GVxcDaIPciUbQzUg78vCaGK1G4x7GeALvIc1TTz21OPudLrHpQufRrXbV12aybcS2/F2gR2No3uP1OFbXxivEw9LIiU7INh9tBdJAeaXP+GwxEM1ZT7Q7rgl6Bslf62dNPeTyuZJnnnlmOd3pIda1Q5lPf18/PDEZr1jLrs9yFvrgfKFHelNAf/rvwZw3TeggzlhvFZgLnlTemPFdNDiOdeS7rovHcvN6YmDfMJAsxv/xBjsf7+Onhx9+eLHv6LNdBeOmZ+07yCl/gInnyTC2509+8pODp59+epFx9iD0svmSc3SyuqNM3NV5znFdHgygLzor+4juQWejXpGP/ug0etaBEg/pvCnkZGcHe8yasx4ta4ftKaxpVnvChImBbWHgvV33tlqc7ZwZBhIuFGJh3RkBoZxAgFCUhInNG0FEYKkrvzaktZGtnvisQL8juDfuMS5feopcmnGaB8HKseV1ZPPjyFJfnrj5mTfDwT+vErqd4NOWPMZQ32wk1DMY5IUDeOQ4sxFRxiaEI5MjwGZEOcLbn9sYE4MEEOZOBHKimYd0p0s6qWFc+pGW00wcaFffjUPcdWUue2ytgDhlOs6x67Fc6wvn1kSwjl714fDkqKZsrYW1RRPKoBPrAcfWhAHs0wI2jxyfHOmd3B3xalyNzTpGq63HGFfPGAulFStvXVvb5lP+UfEaF8YBtDNhYiAMRFvdi0caKR89ob3oyCbQQxi8Qp4mqzha8E70V72xfdfa2iUYx9v1UeMLD/F2/C5dUP9mbRzV9kzfHgasQfQrHtdkvU7oln71oCvdQPeyBehe8h5dR//aaxNXW9sb+XstaVufbI36LnedTi95pd042Q8eSNhA5uwc518bM54YuGoYwFPxLD7uoIEDHgJnC+egBwd4CeA/0N5nubngH/wfT9u7kVFkGLuVTiK/yDP/T2Be9iMCCAcXPIXZ/Z5iIH010pupole0Z5+FVjnm6Vvl2JN4D08GaFxZ9dK58W5lZjwxsG0MTGfntjF6Tu0RDmuQlrIkRASnGSlzhr9NrPwR3I9pBFDK9qwEkHYF40vgEYyNpf7dE7AC4djmxSZcfacpv/Wtby3XDBhp6qhvM1A7NggcWj6S7OQeh6fy8KJtBoT+jafTFBxiBDWDQ3j++eeX04KcaZ6sqt/37GyceuqqPXmMFN/dueuuu5bTgwwV38HjfPOkuc20mGEm6DvcGPs6WLfmNK7hZb1urtbMNRhpYpyrfLiKHpRzUtYpTvQgpmAZgoI05bVh/WxwOTKtKSena+tkM8mQRBPKGYu2gfpoTmiMlTMebaOhxqxOY1YezYoF6coJ1RFLr476twLaDTJAup/x1cUAWkDb0TFMjDSG7si3aLg88sdDAA8JoluykQErb2wnGq4P5bXnvvaWChf40zgaU/ebhmTszVmM94XmpW5B/XC3qa2ZdjYYaC2s53pNrccIyjpBgn7pXKeVOQfQLWchB6JNGGhd8QzeEWrvRjQz9neS6/od6+qbzSYGxumBnLn45qh5mxu40RjPctxL5/NnYmCHMIAXyGv8gXfwSw/B8Yu0HnLYG0iTDzzk2xV+ibfNg6xiq5qXsQP2r89usXH7p2vywviTiUvB+TMxsEUMoEv7GXyG3kY9hE6lsxNzxnuzzr7q+uG+Gw3Lj8eUH9uQN4Jy+HXS84iVeX1aDExn52kxeE71ExS6IxwKY/fSCKXKEhYcOJQ7ZxpjP2U6tiMtgaNu9aVvU+A0ZsobaLtYXgb+2L8xKE/QCpQ9Q0ZMsBKq5sbZqJ42hDb7+vCnM/5YCNjoyBMIXY4sjrH6JKA5xOTDHaHMweXkoHI2TZxqnGROEHJqKu/kJ+cbJ4J2OUA5Du65556D3//931/61s6LL764jN9a6IuhZYzhZlwfY5IubnxLQ3v007xNqXlGc9EJJWqNGacZscp///vfP/BZAbh88/DTAtbIE2/1tAG31ts6iH024M4771wMR0/5gf7BiN9wLkZnaER7AD3gJ1Bd12N999GtsQjy0SXaANqrzdpZt1H6UuHwR74gfQzrepWf8dXDAFpAY2jLNTqMjqIT+eXFK8qQd06qO9UJ5JGreC5ZWBs9TFJPH/jEdem7gHljHcNRY2oO8WzzMSc42ATqCBPOBwNwbT2sJzm6lp/jWihjDekFtOztDw9GOfHJb38+50GlTVigPNoVtOUeaOssILpct61/doI5Gsf1w82iBw1eYf/Od76z8GF4WNft/qi2y5/xxMC+YQCvZGeZG77nEPSGj3R85cFBJzvxEL2GV/AXftsFIHeMyXzsQTg56V5/kknm+cMiJ+c83Pemmnw6O3mo7oSJgW1jAF3aBwH6iQ1pXwbwjnx7tA6eoNFrh5+Keeihh5aHivbueBCdqmufrE4O1KWhX/+gYW2KlVFn0vWIoXl9EgxMZ+dJsLYjdSjENUgTCAlAwBAclDvhNNZJgFRHeWnr9O7lnxT0QbAZl6BNQszYxEBaG3X38oxfWuWUJWy1V35tMw4IUWXqh4OMENY3YW3zrp46ymm7etI5wwQbIY5MY5LPqUaQq8dIUpfhwdjgtOTsNFZlbajcM7T0L9+YGV0co1/84heXsl6Dl2dDI19d7epDaA1dG4cAxusl4RL+NEdDh/cxNj/51sq6dWJzfFXdmnqynXPT2rZmDEOneRmD1pIxC88c0K6tj/r60TecB+FcmoCerAsI/8Yk4KnKKYOWAunStNdca9s9aJ5tXtUJ5FW3NPnSG8c6rtyMrzYG0AVaxBNoCI3HYzATHUWP0tAgUA5/4BNt0BnknjR0ix9qyz2ZJihXXyMdL41e4M/ILzcahrkYv9CcRvxsakcdYcLZY8BakLloLz257jV5KN260NMcnh5Q0sXq9w1M+kE741pnK+mrtRXHL+v+TnpvnOaBv8Yx6wefSTMGDhs6i+7isPUw9d57713GXN/R39iOPOnrtOrMeGJg3zCAX/Byuoft2KeM8Blex/vtD+hGhyUAO3FXAM/Gt2QER6fx22cYczYvu5dDyTzp3hxQuzKPOY79wgB9gr9AOgfPBa7RIZ7yUFHAb9cOHZ7S7YPRdft5eo7NqV70XltitK8/+7T0Yrw9lpvXEwPHxcB7u/Pj1pjldgIDhASBMAIhlCCS7jpBojzhMeZXZp1Wm0ell3+rsf4bQ+OqDYJMGMesTOnKuZZm3pUlSBkBCdM25dIJUxsGGx4bnxyfyqivnfpgUAie/HJIOvnnSTC8KcvxSXgLjZ3zrdOEjI4EN8ODsLfJYqwwumxaGFruvd5uA2PD5Z6xNa5lOBB33Xz1Xf/h7rLG5gbMbQ3mKL81ZNhxetrw9UoiHFOGcMeYZRA6zcmJ7HMF8OwPiOTDvfaiwTbOlG+4tX5CIB1NjPjOyWlcaKx88QjNqVi76jav2jSmsU/pQmMJR+t61R/7nNcTAzAw0hw6RSujfCk/OiuuTE4f5aJbshOP4SOgDtqMp9C2stHrUuiCf4wRGFPXm4bUPNY8pyx5IR2MbTTP2g4fS8H5s3UMWINoeVPj49qUzy6gHzx4pCuAV9fpcA/GyGxtphPQfzzQmuOB1rh2txEbr7bX404fZa+wEzx4wHv0HnumMtHcug3j25S2jXHPNiYGdhEDeBQfZ4fRR/FQ/Juj0/jxN/sNyN8VwLfxLvmA78kkMsC+ApBpnEoeQqZ3pVfP9YSJgW1iAI/gmZFX3KO50iqDLntAbj8mnf1o3013qSOu3nqc8tE+3Yy+0b+6EyYGToOB39yhn6alWfdMMZDxTRBQgIzgUdDonIAgRALlOO28cs0Zx1lEeATqJ4AIIwKK801agogBQeiMG4Hq32qccS8e29O3/ox9HL9+GSTmLl0dxowxUfaf+cxnDv7yL/9yuVaGEaAtZTgXpSlnTnDAqSjWv5OaNg/wIV9Qzyvvvu0Jd+orC5wQNJ4nn3zy4Ic//OFiSNlEAUaUExd//Md/vGysfJvTRsvr0/r/+te//q7wVpbhwhF37fCpl3H+2Z/92dK/tszNPBqXMVmn8uS7L23J2MKPudaHtWj9a7o+xzjcVOY4sX7gRjtwLO7ptG8R+SwBB7Jrf8jAYOXotFnNqa0NOPLP0dYKvXJGC9aXw5qSlZ6yDW/R3TgP43ZvPuOcpK1BfWXQo7WsjPRNUH51an9Mt8ZgzIP/7sd2qyetemP+vJ4YCAP4C52io020JE2Z+L0yHEF/9Ed/tPAceYcfP/e5zy06J5pLZqsjjQMJ4FGyS7/CRUK8Ql7g/2RaPCyNTAfSyGWx+fYtYJ+/IE8AXUSmmLMYuNa+drQHn0BaPNw4loz5cyIMoDE6Gi7X+CxNbA3Qnwec3rzwjW3f7FT/C1/4wkLHdK70TkNZ89bV4NxrK3qJfqy1sO7/ViekvvGItY1n9KltIDY2aWiODUHP/dVf/dVCZ3/913998PnPf/7gs5/97GI/cICqg/Yan1h9c0jf6lP6hImBXcIAHkDnaHV0SLonV+XjaUCnJGPjQ+XGoJyH4v/wD/+w6KU///M/X+xCbWvHPke7Ho7jEWFXAI+aL/sWxNPeBiOz8Dq55rv/L7300rLvsBcEcGMuYvgIwlP3xZWBC2UKU0aEoRnHmzCBzuhXulU6PYre0Iv9mf/PYC/6n4pHH3100Vnq9bAOXUaLYrStfnSnbCAtenY9aTLMzPikGJjOzpNi7oLqUVAYn5BIwY9DGYWCa4EhT8kzmgmplBwhkrAixBgcBBOQB5SVN7a7ZJzgRxvaWxvd2jcuYxlBenkJPLE2GPCcl7/7u7/7bhWOMa93EJKcicC8m2dzotwZE0LjMSb9c44J+lVOmgAvhDuDSbrQJkJ/NsROE3rN5Jlnnnm3LWVsnJWHfwJeW8apf44FeLeRC+rbfXg3TiDueknYwk/tiaOP+glnrZ37xjR2XRulVa/74rEPafrjNIYbeGLIccoLvokqPeMUnuEPrmwGfXvtwQcfXK6tN1xydlrLQPsC/Bt3tLemNeWPGnNtiTfNfcw/6lrbm/pUflP6ccZynDJHjWem7z8GNtHVetZoaE1HZNz1w09r4EWOP/KQHAOVJaPwMn6Qhq/Eysk7Tt/rsZzlffKMLIiHkwvGKq3YODyAoTucBOxEjfLBen61X3734nBW3oxvHQPR2FE1w7M4W4deoWc55tG0P6Xz3WZl6N7WWyyM64QelLPmYjQ95h81juOma0uo/WhSfenGY8zGTgfSa2yd55577uCb3/zm8vbJJz/5yYU+40U6rjlpw7hBY5c3YWJgFzGARuOFcXzSBLQN1jQsL0Dz2lG2B1YOKfhufo4VtragLDsyfqmNi46NCzTv7FX2rfF6oG8uHE7km0MBHKD2FOZSfW3g//Fe2hqUKSib3LtZvXU7835/MYCn0AU/At7KNpKW3qKjPFT0nxR/8id/stiPdBZAl2u+lY7Gxr2atBHG9sf0eT0xcBIMvOcVOEntWefCMJAhe5wBJFQSLOu67pU5awV3VB+l36j/yhCArsWEMLBxsTHYBG3Cxzx1CWKBADd/bYkJbSHHmnrSGRVOgnK8dSKkNhkmNsWcnRywvT6jH/U47RhY+sqI0Q6DTL+MFgaMUL+jEaaMYN5rg6Yx3GqsPTDivPalm/MIlRMX5JtP+HMdmLuwHq97hpkngZSjmJOTAnWS0zWc5Qw2Tk5MeBWcVBZb7z44bz08dZSmzzWs57LOn/cTAxMD72EAf5NV+MqJTfzjUxycnk46kqnklPTkVLwvHUjfdUiOiUcwL0b9OD9yZV1urDOvzxcD1qaA9qwNuuTopFvpEA/M6Fh6la7nLKAjKp++TUftwvo2BrFgjI3X2PGlebJ5zLEHf8qYu1idsZ1dmt/5Usns7bJgAE3j5+i2cccH9IrrUa8oP9rGyuB3Dhf2I5s8W1H7QIxnamuTvVjfFxUbU/p1HJ9rb4tdP3wQ6VCFByFknPkm4+BkhPF+E26VHftwvy4nbcLVxABaiBbtYekXdiFdhLboHHEHUtCSz7OxE3vb52pibs561zAwnZ27tiJnMB4CiHDK0LeRS/nXnTLCWSq62i6ub/frNHmEqCDP2Bg6BK/YPUHLqDEf94Sxk0UJ4dp3D2rHvSekTmOGE20BxpLgFCehnoBnVLz++uvvPkVVT7429cmBxxHH6Sadw5Ri4CBVlmFig8K5J81GxZg9ofWatjlx6jFalG/ezcX4bHTMfxsAZ8YeTowFrOniZn2Z4zjGypuPtnLSKmcOYulvHv57us8BcG72urqTZPACV+pRmnDhtQj/nutkjhie4UI5+FOGAWsOzaNxiJuneMLEwMTAjTGAhzg2bRa96kcGkn1i3zMmo4RRRpEneBZfbuLBG/d49rl433iDrpMJxfLNg0w3J/MxV/JsLFM7M74YDNAj1qk4fYNGfQrlzUP94k99nHpCx32OAF2rA+gNugi97traNh70Z25okP1g/HSdh4Ne1WUP+IQO3SrNvVB980ynj2nSJ0wM7AIG8N+oT4yJfBbiTTSMfrvHw/LRPTmAl9E9O/0b3/jGYsOzH69du7bwjLrKawcPud9FfjBG44KPEQ+uzd1ntvzDtbmyfck48s7ewWEL+FiDNsGm+Y54qNy6/ry/uhiIFtlDDvGAXl+XZg/msE6fhLMP9p8J9mx4Ml2LdidMDFwkBqaz8yKxf059EzSUJ+FjM0BAUZaMaJDC6349rPLX6bdyr40EnusRan+drkwKWF1jNgdzcU3YOnFkU8rQp/w5P20QtEXQ5nTUlnQbH/NUByjjWqwOZ5s2XetLu/KF8GNMNhz+9dtY4JPD0itmDC/j8ARWPuPE02X15b366qvLUzCnGo0NdBJUGdCci42tjd1SYAs/5mKOhXWT9S0eQ+XUsybF8FCbyhgzsB5CmzO48hTwV7/61RKkS9MHPHGucBYzSDk3XXtdnYPT2sH7uBaUa4bw0uHw07glGesYhmLzcmJgYmDAAD7Bd3jNQyHy0IYKr5NDQbIDr9Mr+JJcVv8yQfMQA3PkWBKTa2vZdpnmtk9jJc+BdUJzPTwrTdyJR04Peodu5aCnS5zubAOmLfoKrbbu6m+C6GNT3mnSard5bWornWqc+JEOZFvgN7aE+XB2Anpw03z0o4908qYym/qeaRMD54kBdIpG0WoBrW6iV/nkszhwj+eddOSQYTP2YDwdhUfiqerqd1fAHEBjdB3/wgP72Kv55ul0J71MP3M2kXXq08HVE5tnbYzprsEuzf+dEc3fXcIA+sA/9tsAjUWf9m4eur3yyisLn9K19NRRe7Jdmtccy9XCwHR2XoH1piQ5+gQbBBsCAonACo4yKgi6bSnDo9qRrv81UNIFY7Xp5Nxi4DP2CV3K3iab08wpDqcylTG//8/evfZ6d5SFH99vw0f/3SAHORXKqQUKRcCACInBYDwFifjAt2DiO/CZyjNNSPSJCUEE5FTKqZVDS0tpoRBQi9HER8aX8N+fab/tdPHbd+9779+9j3Ml85u15nDNzDUz12nNWj/plIIUCOmYNjxoAeQV9MFTKh8CdwTfyU8MXlv6Eb1cw+U1aooFJcMfHn3+858fuOHxgWZPWikmHHfSjPNb3/rWONHI4acf8LuGQ39BdErxky643xcQRsdBNC/Wbn0pDS1mxdH4UrLgVU4d88Kxyxl8//33D/o6zckhDIw1I9R3iTiIKaiE5qte9apBO+m9Tqu8+YIb/ThltBXNBtJnf6TJA/pX2FX22SorWhS49hSwP3J24oH4of0bH0Sg7R6KT+K7Fw30tbDtW+Molo+/kJF4LjmBz+B18fAtjnV/NhTA85tHfL1TXcllvbAO6QCcnR6ouX/ta187Tnb25kQyYZ7zXSOoLXnN/YvV2YVnmzbjlXcjnNad/orpEeSgh4LeEPFgVhpIttVPaeEttq6BMgsWBS4SBVqTPcBI38R75/2tz/aDfOt53suu6fuPP/74wZve9KbxZhA9kizDB3qoDp89AQdof4ybc/4xJv1pH9e3eJ/TquQwR6dTnZ3s5OyUvh0TmoRjvp6HqS15woJFgV0UsK7oRKA1Zr1I89YPZyfZZH2K2eiVbW+PhPWzKHBOFDje43FOHVrN7p8CnFBerxY4nygEGBJFIsCQKNQEY0LPtXC7mVXCdlc72tcvCoqTkIxuhgznoH8j/NznPjcUGXU5OzkrjRfTZawyCChQlB2vsvnHdKeVOCpTpDBv+YAz0pNhhpFTFIwKbUkLl6fG8jnjXCuH2eub/qqjr5wEKVvStUFJEXPqMVQIBTGFbKvURRfj18dd9Gn+bjVujqunf8H2un7MdZSRrl+uGZaeMKOV+eHM5MSVhg45PSlkaMOh6R9mGW6zs5NjUxr6CuYSbeY+wWFO0S7FVd/0RTz305jqq/7OeBrvihcFFgVeSAF7xQMdPNMDJUZVp0nwPE5QfKl9Z5+2z16I6fzv9Kt9P/OH0udYb/EWsgQN8HayktPTeAEc4RsJz/7sSpvz1/XJKYC3C6A1Z34Ec8NJQMYw+p149J3sZCtnp2DNgluZJ/ib71upNxq6wQ9c4a6YdsC2HfeC8ZCPHDn+BNE/MtM57E9y0H6FU9l0HtceQMBN7xArs9U16sOKFwXOmwLWqGDtbmHOm9cx3kDvphtKdwLSHxORXzn5rfn2Bzw5S7Ujvbxtm2d5rw/6xnbRLzJHLE0eXRgf86owvRqfo2c7bPHwww+PPHqzsmCmYXjgmtMbn3RwXH7lVnz9KEC/Y6cB18C6swatPQda3vve9449Rz9s/Sk3X7tfsChwHhRYzs7zoPoZt0nIU5QFyoAnnCkAdYXwOy8FeJfgrV9izFLQdwpNzkSK/pNPPjmUeONhoMpTlkJA4eegpORzsHnd6x3veMdzp1ox7Rhxio8j+QymjFv4GFHwdCIWM0dLChVHpaB8dNUvoH2nGHMK6ENGSA4+eNTN8ToqTj9oo48palPWqS5TbGYk8zy4nu/ncttruNCewOMQYYT17VP3xk15E4CxeBWPs5jTtz8X4oSmqHEuoGntF6urLXOFjrOzvryM4hQ2bamPhjMe5RcsCiwK7KaA/YNv4XWcJfYO/muf21P4l3z7rbKXdY8Z28wb8Be8Hl+ON+fMja/MVJvrzunrer8UsNbQWgysN4EcsDY9aLM+yR5y25xZux58ktWcgSeB7fo4CY5ddcJrTYFda2uuZ9+Ri2QmJ4d1asz0EzQgR5WRTufJudm4pScflVuwKHARKdC+0DfXM9gj7Rd5OQPpg3iANW7fe0hFn7QnKm/NzzKqvSANzO3ObZ7ltT7or3G41jf9Lt09m4Fc9uDD+I2dfcLWUDYaqbOF8Cgz57uPv27ztjjW/fWigPVgXfXWjmtARyJ/rD1y117jhLc+g/ZW9yteFDgvCixn53lR/gzbjVFRlDmenLrL8ZRgU4bwSxjqXsKw9NvV5fDX3radBDwnGCcmJZ5jsSdIMV+GqTG69wQ0pYcy4Fp96crBWXtiBoF6GDYFgrKBVhQoTF06R5wToT4QznHqBGL4fFfyAx/4wCjrWL862qWAiLVBWAiUFPgIBcE954F+gYySFLnGJ8+8ua/v0m4VzLn+AbgKN8KTYihGE2vIiRJP94zPyVYnagg94zc/AiPMnKDv4eHhGK9712iGpmhorJVDB33Slr4as/E2Z+YSuJ/71bU85ec6W3rBW7lxsX4WBRYFnqOA/WKf4bF4rocTHEj4mT2PZ9mneJVgv9rD9pV92P57DuE5X2z3/426g59xIKmDT+Nd8WJjlR4vCs8Wf/fFlVvxySiAjtZYst+19de8kElPH/0pESegh43mj6y2fjk70xW2rScHtum3e97CLxbqh71jbLvAmqM/eFvE/rMnrcdHH3106A+cO+gB4MvZ6Vob8NbeLvwrbVHgvCkQXxUD63UL7RXruXLeLHrkkUeGbPLnKL7RS7ckw+i6yvVwHH8P2nvhLP28Yv3EA/RZn7Jn5n1rTPY6x5JxksucTl7fVx/vY1fgBcfxkhvR9bzGvtq9mBSwVqwrgbxh17HJ2Hv0QevRAzgPFK1L9wsWBS4aBZaz86LNyG3oDyFP8BOKnFEYFeNgBkJRyGGEsYGEYvFcZ1/X27bCG5PFPAl9r6S8/vWvH0YMZYBANy4MWL/FAiHPKJBGCRAbL8WA4aNOjDvFh7NRGxxwjCh06nV/yoO2GUxeh3M6VHnMPfBqmT8j4gT0yifF67HHHhsfb/ZqvT5p2+vbd9xxxxhDjlJKizaBvjJSzFFOQOMX9FWe+TRXJ50TShS6qK9d+FynGMmfgz7l1ERHdHEC9rvf/e54qscpTOgxMvUPDdBf/ymeXldnoL3//e8ftCcYXwy0b7zadq1/aIgO+iyYa2Xku67P0cYcN6a5vcrDqYx4waLAosALKYAvCHif7w//4he/GJ/z8NDIqWwxPmWP2o/2kv0fD961917YwvnfzXs/PhOPw2vwfONEB2Cs8Y3Kn/8orn4P0Bz/7yQJ+SKYI/NAPnH6ff/73z/4j//4j+EseM1rXjMcguQ+WbSFZIv6M1jHwbw+SttXDLdgn+iLoO3W2LZt942bzuBho7F+9rOffe5fmu1D9e1Be9PYBG1Eq3l8+xrLwrMosA8KvJjMsJatb+Xmsl6l/fSnPz10fK/T3nnnncPxogz9276wd+wLzhogzZ6SBueWD+xjPLeKw97UD3zO/tXH9HO49BMfZEc4veq/Acgnb1M98MADgyb33HPPOIjBnlF/plP90caWv8i7CDSojyu+OBRordgr9pM95JNv5C4H5+te97ph17KtFywKXEQKLGfnRZyVPfeJAE1oMkYJP0wLbIUbpjanxeT23KWdbW/b0La+i/WfgKfEcKYZB+WdoKcApKyIjU9548CUpVEcMGUKAuVBfXmcphxm2oGPc86JTQ5ODk9lBI5NbXHUUSI4WuGHGy3DoV3tcPBRSg6PTjBqOwUFDn0QGGAZIPPY6+88D/P1XPYk1+ip/0D76NU866vxoAsnZuP3bRZOAEqY1wS9ss7hqaz+GpcTUPCgr3vKJXpxdHIOGy86N3c5KmdlrvHA09zDb/yC9uTVX32X7j4alV+ZcJYvhlO+NhYsCiwKvJAC9gewP+xP+xc/5GDBB/AG+9h+BMorKxbsy8sG8RE8sLEZO94dL1GmUNplG+dl7q81Zj7m9WU+zJn12UM8soij2rqNxzdvjX++d30e86nNbdv1a1d/pAn0DIal/ehUG3mNBvaePQkH2V55Y0YH6QsWBS4aBVqX85ovbdvXeT+nf9r3HC/qO/VMR1e/veA6fLURHvjnfbJt7zzu9Q2Pm/uo/3RmAZBNbA22igeR+B+57LViPFJ545of9Mx0gCNauAbb+2dS1++iwDMUsJ/of+xCh6foSR4mdmBHXvZca+2i7a01l9eTAsvZeQ3mneAj/DmgMlITmBgSiCHNykGkKa/7fcQxQriOE7DSCXv913eOzrvuuus5g1rd+i9OQaietBxqpcEFnE7spCvGzXjQxvve977hqESnaIWh98q6+uGAU576DAuKhza9Pudf2OFXxquQFBdtEAaejKnH4Shd3YCxos+MFwbbDHDLF58G9Ml6AK5nMP/a59B0UpPi5E+G+hC6+/6MyOvqXqXj1DReDl7GpQ/DM8QEdNMWAWg8zac20NdYGv+2L6WjlX4Jxo/+8AjV2dKk9HlsrtUX4ER74biy27rrflHgOlDAXuI4aY95MHN49NDGvvHqEt7EsLK/pdnbQfs0Hln6RYvt+Tnon7EYs/ExIPEIMqGHNI0BfYTFN6LI2cVobm3h24E5M1dPH73G7s/xrF1r846jNyg8pMzYN7/CLCu6bi6Lw327Y+0J+gX0p+u57cqJjd2eND7OTids3JOpyW94jLt6cF30PTmPd11fLwps96HRb/eF+3S+9rJ9b93TUckmbxw4ZebTK/YJfRs/2K799pH4okHjjCbRwj3ZZMx0ano3XZvd4WSnPy1DB3q5suhCh47/7RqnctqrzdraVXalLQqQL3Qjtq3T1Nbgb/zGbxy8613vGnawPLLIfmuPLhtrrZuLQIHl7LwIs3Cb+4DZcDQJTugRbBQAgCGlQLgn/IRA2X2BtsJdDPdxzFC/5AHXjOoM620/3TeOuc+1WdrsMKtdtOD8VBaT1kZtyxMoF5yVFA1PkF1zVsKrbGF09uinb3Jqo1OgHIj6KQ9Eg/o2Ep/9aSzbNH2r33PerV5r03gpgzl2OW0pS2IOTc5OQk2/Oz1i7OpQsBhbnJ3WlVf4PeHLCGu9UbQoXLVXm+LSG7+0gnmKPsamjDCPvXrlH0eD8MDtWoi+M47j6q/0RYHrRoF5X+BfjEenZ3pI8t///d9j/3IqUXgrb0/bo/bXRYR4wa6+4Q8AfzNWxiI+1kMpdSujnPvG7X6+3nUvbcHpKED+kZ/WmUAe+2wMR6cHceaATPJGgc/GWLdkurlq7ud56lo8B70s73Q9fmHt49aM/VIfi19Y85m7+kTOuiaDyV37krPD2y8c9PLty1le7sK30hYFzpsC1nv6XjqhPkmne+O59rD1LkjHm+X5M1EP3gQnOj1cT/eG077Cw/ENdd3T3WtTmj1yUcCYgL0LjBtEH/3PBnBtvzvBjg888cQTgx+K0Yxeb+xkdGDc8sTRs/HDJ23BosBxFGAbcqazB8lWgS1ovVpX1m/rSrzW1HGUXOlnTYHl7Dxrip9DewlIQp6SgCkRnoDQK9xuQVc7xZEiYdt9cczSvTFsFfeYKnzHQWXKz/DJKG/MlCWGE0MXoE+KVkxc+55cKcuYYATXLzGoL8pSNOCXBq/vWqrDCCMcPKVtHkblZ3/qc32T7BrOLQ3merd6rc/6RoBx9hoXw9EYOTo5Pjk3OTz7dICy1pHv+PleUK+nO81qXMbM2IS7oO9oiL7aQ1fzkBOhcUZn5aK9MVHuzBd84luF2te2AOrbreJa5RcFrhsF7FXOFEak/W1vegAiTcCT7Cdgf9pj7enLRCv9jgfh13iz8Ri/8cQ/ur6MY7xM87Grrxn60d5a9N1KJzrJLXPF+Heis++tWpvmMt4fXjjC03X3ldl3fBz+2m8Nanfub/n1x0NEYzVOTh73jFD6Hdmco9P6Pa7NcK14UeA8KWCdpwe7ntdr/NhaT8YoY9/j0b1pRC/leCGP6KftebKpvdIeEsMrwKXs3OZ50gId9EWfxfOY9TcboHQy2ZjxAdfKsDPQAh3QZQbjncftPpsinBeFFnO/1/XFoADbjF3oYTfbzzqjEwLryHpq/VhP8/3FGMHqxXWlwHJ2XoOZx3RyGFGGCVQCL8CQbjdoQ0jQzkxwvp77kbAXV5eDkAIfY6X0yJ9DZUuDMxyNnfJEGcCo0QdeyhP6gPqkXAEO15x04nkso9KzP9LhEeDWhv5SSsxDTr7KzHW1oSz8jUMM4JJ/WoDPE3FPfjk4OTYFDk//qi6dcxNN9EW7Tsqgu7F4Usyg8mdNjYngo2wZH0VtBu3B0ZzJM77G01psnMoB90J9UN69ORTgqOyoMP1Ud47Ljsb7oGU4V7wocJUoYK8F9hheyYFin+MLnJ32ue/x4gvS7DXl5rrhuAyx/uNFZAqlHo/Bz/CZmVcot+BsKWAuyGdzYU7Mk0B+eYWzT8OQRx66kU+uk716O8/hfC99m9fommvxjcpV/sVifQ7Xrn2ijeRcbc99lWZ9Rgdj9UdMHL3oQHYbt9M29ZeeUZvS7GfxgkWBi0IB63Ne7/oVL7Z+6cwzSCNzPOR4+uhUN/7wyle+cux9e8Meap0X4+nS5WuLI9A+INcuwn7Qp/qYjRCfMz75xmIMAsDf9B0fcOAAXXxyivMTDocVspHUhSMepP487vla3oJFARSw9qw368OeYSN6sPahD31o6H/2j3Unny5ovVljrdVFxUWBi0CB5ey8CLNwm/uA6RB8AoOBQMWMAOE3g/vCnL6P6wR3wjYGehxuzLOgT14tpNRnxGDCmK/xCZQYAX7jTCkoXzpjQD3lvO7lNRBKgjR50UOsbQY94ypwolNoLOp1XRl1OQt9TwvNDw8PhxDwXcuAomYs+sl5mPKiTe25h4fgqA2CRFDmZmAei2tBXXT83Oc+99wr6p4Ee1LH2SnWnnEzmBiNh0f9v/vuu8e9bwRFL33Un/p+oz5Fy8roC7o1NunKwMdhsh1j/VfePKEbIYu+YO5DuOEnhIG01oiyc/lRYP0sCiwKDArYe/ZK0D2eYO8zoJ588smxRxmYAL+zJ53qtn8vC8x8Br/AJ/DcZCRePPNc+QvOngLmwyd4crhbawJnx7e//e0hR8wbI5+cfcUrXjH0hHnubrXXyRGxQGbM++JW8Smvj3CFx/qb16Ayu9KkA/LMuI3L2iSf3/3udw8D9B/+4R+GTPcAwsPJ9BLyntzUf/XITPrPgkWBi0KB1mr9cW+vCNa8PRPIo/eTQ5wunPz+IMU+8Bp7ul1rXF14lLdnOAjtB/f2mvuLAPrJLmifivU7HVlf9b9x6bN75YzfQw+OqIceemjwQeXwQfqya+PUBvqJBXxIvOVBF4Eeqw/nTwFrI0cmvY6N+PDDD48999d//ddD/nilna3rTQrymS5ozdIXs8/OfySrB9edAkvjuQYrgKDrO04EPOFHiIKtYk0QphjvmzQpIdpMwG7bv1GbBDPhLq6ea3gFaUAsHdSm69LF0tGEkvCGN7xhKAAUDY5UoD66hXMk7viBpz6UrU5KFePCWKOrvPCWN89FOOAVlFc/HARP6fIEUOy6suaRoWNclMOchJys/k095zHjSZ+MnfEEl1OaDEfOYMYTxydhZlxgbnsknOCnPs9x11t0pYvRG+3QAZQ315EmVEbeTLe57LpeFFgUeCEF8JAg/mP/4AvAHsyATLmd92F12ofhy9AqvXjb1ja9/JPE2tYuMAb3M891j69WxtjwOTxGHL9WXx7Y9i/eMjKfzW/MpV3nONpu6baLJuim3Azoy9gyF/LJNnPICUp+wS/N/DDqyfbmRJ463c94b3S97eu2Tzeqe1yePuwa33Hlt+n6AAcwXrisU4Zlr67S8Zy8JretXzRpLMXqRxc4QHniYL4ubcWLAreDAtu15t5at+dnaN/Tae1/+8AeoJ/a+7vwSIOnvSPuody2/NzWWV/XR30q6Gt9LK5f3TuAQVe37zmc0IVjyol3dDLWaBMNqoueruMT4T5tjK8I8ZkZX2OqL3PeXEe/5jCXm6/jYdJcV2cuc92vZxrNtECrLShbsC7Yih2G6SBMc5ctBo+1dKO53baz7hcFzooCL5QiZ9XqaueWKRBjueWKRxUo/r1i7B/UvLLM4QUwsoSDe0KyJzmYWAxyF0NU/mZB/QyVbZ3jcM/prj0lIrRdC/Dpf1B5tJqdcuVLJ/CDl7/85QeHh4cHH/vYx54bZ8a8sQvHwdwHeOuHdNfwoDv6EfboygjRZ05F/fNKKEWtuZAm1HbjgY8Q4awkdAgbZRr/3L7+qqdNZT31/sUvfnHw85//fDz1da09T+LUQ1N9dbrUaRBPhymNnMD++MC1fuqX8toUz2vmOBqV3ji6F0srPdrN+buulVfWHNZ+OOby4d7SRZld5ee663pRYFHgeUcIWuBRAh7w6le/erw6/MMf/nDEvpdon3Wis/2FX6mDXwj4kXuypZNp0uNj0Vy5FGb54Sv/VmN8Aj4BPvLDwx/9MJ7u8UT5eIuA7wn44nw6QXkw98v44ZrT5c9lRuY1/TEH5J+5RSd0jn9vSSJdObRD10A9D9ysIbjMl3nsDQpl1SUb7zj6sw4nmkqz3uTVdjhvJp77cDPlX6yMsZ8G1CcD20eunWZDi3vuuWd8w9AflHBwvOxlLxtrmb7R/pvpjo7oKU+Ay3jtSfG+x36aca+6V5sC8cpi6xQkH6xFadartc2p51S3GA+gw/qsknzreAv2DX0caEPA28FFWef6kf1Rn4w/Wuhr9HENujd2Mthef/TRRwdd6PrSvI3FGUqexT+qSy5yiGpH3dPyp9GpZ3/wFLwXr9JO4zA2MtU8xWvmesqZY3NZf7fydS7vWp34mFi9fY5l295lu48++o0+7YFi+a2lypg3aXQee+0zn/nMAb2vz8RkS7MPza+5Jpc526M9vGDGPRLWz6LAGVPgdJrXGXd2NXcyCiQ4Ma2uMTKAGZXm3rUQcyqWtw84DT51t/W39/XxZtIJWmEXHFd/LqtMzDyjoXt5hehLYEtTFiTICYruKwsPoQTUka6v5lCsbvMEX4YfhygFkDOTc/XHP/7xeP3PR6U5uSk28FKAKByMQ0pf/2IpnVLoKXHf/cm5qE+C/tb26OAZ/0TXm2lW2QWLAosCt0aBed+03+x5/AK/OTx6SBRPoeDee++9w1hSBojxii2eDJwcK3O+et0XSzst4He7FHxtFPSHso4/ihmds9JeH47r13Hp1bvucXSOTsXRJdnSXJmP7ZyVpg7ZRsb57Apdhowir3xmIaMeTtCa3LY5Mi/hj3EYE3oA65U+4JMS/mDwqaeeGsYp+qABY1R5chtNg5kurgvwC83JTLf5OjwrXhQ4DQWsKevXesvBIq313TqMH5A/1jbdli58eCSL/EkXqM6u/sxr1/V8v6v8eaS1J+e2b6afypBZeKCDCj5N5c+bBI4qdH3JS14y0IYPXQG7BN1KH4l7+IEPXu24rj1jlC6uzXmOXZdXfnyre91zveu+unsYwpVBgX7treiDdmhdejRtLShnr7EnfUKmwzpkLBsx2xmeeT6bF7i1C8+CRYHzpsBydp73DJxx+4xVRhwmFjOiaASYFlgMKorsjhOyaCgwJKJp9FMGbSkT6BndK8txid7S5zoEhKAcgEPI0ZmQGZlHP9rn5OyPhnxPT/DE24lOwkwA2iOo3vve94524XTvyS+D0VM7/Z2FGWOqcYpB4xo362dRYFHgSlEAv7LX8TAx3gZc2/sMJzzKk36nO50qwz9m+ZHSqx58gnz145/StiCt/G3eSe9nfK7nNvQJH+S0pdB7cOSUy3yi86TtrnrPP6xD93keZtq0xsTWFVDW3GzruPfWAkdn35gmE72JwBCj48yQvNzimctctuv2kbXqT5roCk5ykvn2JOOUo8OYyXZ7Dl3RN5AGSos+xZXvftdeDdeKFwVOSgHrq7XoRB/IAec63uA6HdjadoLZnhfordcd0IncQo//+7//GzKOPMML0HOGaComt+1tPGWfAKd2za12Zkj+mnt5An6T4w3PnvNm/QMeeULyoXt44XK/4HkKoJ+T/OgazdCK3IjmSsuTLpg39TjLrSdz6e0Ke419OK8XNK/Oov3zdF9XF4cCz3u5Lk6fVk9uEwUwIaceKMgCBob5YWIZGDMjxMDAYl7PTwg6CRg7uohj9NKlRTdxQTrhobxy0qsPu/twV0c8g7kRPGlj7HFCCq59JNrH2jk8f/aznw0HBOHGCUqZcbrD6U3z7/rtb3/7MArNP+OQYW8dcLzWTn2tv/VHvxcsCiwKXG0KtM/xgeRCI2ZQcaxQlHudEG/JGFW3+up0LYYviOdVBo/Z1q3svuLteIwtZyf+aVxOyBhP/d5X29cVD5o3t7to0DpQxjWozlyP8SVwdvgkj38eJsOcavKJBZ+m4dwDPeCTf9XmMTqhFTpZvxwdTrgJTih74EnW+3YnGlQH/YB6LwbhV059cNVoOQa1fs6VAq3F1pjOzHLAtXXLse/UorcKhLvuumvsew85rjuwLzijvNLOHkAn9HLgAeTsQkv7OidXUkO7NQAAQABJREFUD/VmvnCaPQ4P/M2fmIzdgrmOJynftbWQvjGX6To8831tyTtN38N91WJOTfOPtuy8aISGpcsTpJXPT/D444+P73WSIf7TwR8AkrfWG2i+1VVPPMOMb05f14sCZ0mB5ew8S2qfc1uYECMOQ/LEj7LAAUZJxgwxLQwNM3SNCWJouwTVOQ/l3JqnIBAAaMRJiDboik4MjoDwRlOQ4FdOoFwQAK4BhyR6JzTgFLRRGXlAPf8+y6HJycDo4+xkpJtTuPTFkzevpzP+GD+UQd/k9CcGnJ/SmlttWRPboC0hkN9461d5K14UWBS4mhSw18mFIBnhe2CcKfgQpxP+g+9Iu1nAI+OT2qktvOZ2gTbgFwPXeKGHSBxEHiDdcfTdR7KyMrerL9cFb3TczmvyhYzM4J3TqhedrBWnv5zofOyxx0Zsvfnsylve8pbxzWll4VIOLvqN+b1KQDejh6APBwe6kP2u3/rWt45X2b/+9a8PHeK+++4bNIgudBj6BH1lOx+7aNR8iJUv3lV2pS0KnJQC1lVyhp4JpAl0YfuZ4+5f//Vfh8xRBp/2nXnOl+sOeJxTd96y8LYFHkkm/+AHPxj73eEWvJD9gT/iIfaz+/iq++yak9ITXzJX+jMHvCp+Y0538Xxl4vmVFZtrdUBrYntff6vX/YqfcUjSa8wH+kQjciA7v71XHjnBWf7Vr3517Eu2pM+c2W9krvLmwNoxl+7NU/UX3RcFLhIFrpYGeJEoe4H6giHFgAg2zi6MjHKckqAMhqVcZd0nUC7QcM61K+ixpclMszqnDKG9LSt/Wz56V7Z7gkggTMyX+RB7aitwVntFhWLBUJcnmGNOByeTGIEUoGLObUaOMgSTkHJR3+d4V1+Vr49z2XW9KLAocHUogB/hP/b6vOdd40UUZ3xG8Aq4dIozUFe9eNpMlS3vUKZy27y53r6u9bP+wVmb+u5Up3sn3PHI8vbV9nXFc7N0nMvN19HNeuxtBoY82cfBZ76sw4xi6zP9pbUVjqsQG1N705iNFb3Idg85nW71EBR90Au05sXRZkvjykSj8sXzdfkrXhTYBwWsOyHebH1uQT7+TPel59rvnHfsmRw12zrX6d7+5BRGk1kuoxleiR+g03woA02DrotLP2kcHv3qOlzdb/PcC8Gua2nz+oBLqOx8HZ7rHkej4+iwpRnZQnbwEVg/1pO1Jbbf+lTMPA/o3xwc185KXxQ4LwosZ+d5Uf4c2qVI+Hi1pzKe2Hj6RzACDjXGHoZGecbspGU8LCb2zIShRzR6JmX3L1qjGSESdL2lJeEB5vKEiNObXkfzbSL/sOij7E8//fSYG+XNkXIUGE5rDk1z6+mbV/oYPK574qbvAqD4mF95nBb1d2ROP6UXy9r2fyq+LhcFFgWuCAUou06MM46cCOf8A/iOhyz41oc//OFxkuzv//7vx2c0PPV3IhJfwmvwGOXxDGHmQXDNSnhlpO8T8C79EfTFvbAF/LXvwPmzF+PeVW5bb92fnALNf3ROtjRH3WvBWnI6ySliJ7z82zCnh5NMXtVmiAHOveZZ/XCPzCvyYy2jR/QxRtd0ACdw0OJrX/vaMFbRSz59gL5nX6Nbcr+6cKajIJN0+oE0uNs/rtMjrgg51zDOkQLWFdvDOsNzxU4HWt9kjHUK7OtvfvObB5/85CcPfu/3fu/g4x//+Dhlllw6xyFciKbtV7Rgn9D/xV/84hcPvve97w2afuUrXzl41ateNV5zxx9muqG5eYDjtNBnseCZ8cWrtCXIkya4DyrX/a54xivfWsHTjEHIrrkZXLvwX7U09MKzo3njQx9p6GWvRVeHZ7773e+OBwseZHuLh+/AK+yzo9O8pdNtaR3u2lrxosB5UmA5O8+T+mfYdsLFaT/A2SlQfMEsbEbCMWnlXdeYMMhIQAOCFe3EwSxQtgKgOpUVE9KENYXPkzRzIvi3yf/93/8d3ybj+HTtlVEnWXqiTUAJhJFX0zk7/XkIweS0S/Otj3Ooj/WvvO7rn3LyxIF7sC1b/ooXBRYFLjcF4gf4En7Xno/fGR3DFL+Rx7nkAQqHIUWZoZXzSVn18AshXrK9jycpv0+oHTgbx4xfmjKMaYq9vuKbt6s/c9vX+bq5QHsQvZuv0uW1vjg7yUCxNLLv8PBwyERrDk5y1Lp1D+e89mac8F5GaDwMVOPjGDLujE5p9h66OJXjH9rpGB58cnjKVzY6qyvAK8if6dR1ZeQvWBTYJwWsO+vLWmud2d+lOZnoTSYP/61l69t3o+nBylRun326zLjYCGjy/e9/f/BJco0NkX2AbvEA40R399u9fxIa3Ax/0Ld4jetAP+JD0uI923jOm6+Vm4O8Bc8/uDLHW6DfNff2nGv7zGEoPgJvCrAvxf2nAxztT/M9r5s5vbnYtrnuFwXOmgLL2XnWFD+n9ggUDAnDwswYpRga5xrlAcwM65y6eeGbjUYJ354oihPehEeh8vPA1DUfCXmKiHlwWuo///M/hzHn+qc//ekQNpycGXeeqlHyKDNOswhOdd5x9O0ihh8HBEVQ0DYDXr/0r/akd2qpcSgjv3tlhDnNGFJE5FV2Htu6XhRYFLj8FLC3he0JCYosHtCpEDFewrEk+FMEn8roHzvhwCvUE0C8Q96sfFdWvE8IL5z42S6epk/kIMcR4OzU3333ZSBfP2MOkCH6Fkea7T35RV/xCqs/4iMTrTdrrZOM1qI57OQieWh9SVO/tVwblzFOlhsXhwX57uGCsVmz8j10kH/33XcP/cFpOIarfN/uVlZoHybT0Sg6zfsyOinXHi5txYsC+6JAvBm+7VpzOtm+pyvTfdkxYjygNblrze6rb5cFD7rZw96ucPjhO9/5zqARPvGjH/1opHkA4k0NPBYPAGK0nNNux5ibY3F9rR1tC/LwbHE8qn6a48qVV/+r2314V3ww7FHyEd+PTtFXevT1oNB+8mCB/WkeHJwRyNpOdaLpfBq7+qWbW+tJewsWBS4CBZaz8yLMwhn1gaCgIGBuPlpNKSb4ONowKw46jBAkUM6oa5emmehCUABMfQ6lyY+WlA/3YsKD4tFrOgQLB6cnaBwFnr76sDhnNINOeQKGoGG8OZnhVVHzyOl5eHR6Q5o/H9oFOTv1sT6JZyHkvjE0voRXYwi3/ioLKlPeihcFFgWuBgXwBPICz8kxYt93iqyHJcpQaj10wWv+67/+a9QjS/xzJ/6BT6gbb4lC8SM4QLxG+nw/bk74U5tieOdQGqU9vqyfxoPn1ucTNr2qHUOB5kB2c168q4ryHJheW+e0c1KR04PDwxrzJoM1as1Zg53sdG9tZcC1zna1cVnS0MK6NDaBPG5PNj40cALHP1VzhH7iE58YOoV7r7GqZ40H7YNd81IZsXa1d6O5msuv60WBm6WANZU+aR0G1hzweZGf/OQnYz/7IzL6rjWujjU516nudYvRgI1h/3uwQUbf8ewf7ZFvnFecVr0dxm5o74uzCU67v3fNxXE4Kyu/uZZWkFZdceXNbXnSC9dtzm92vHg+GtkvaJgdJ22WBXwCZCsbVJD3rne9a8jYHOTahINc3daXZ63BTx61pqQvWBQ4TwosZ+d5Uv8M28acMB+vMWBgmBFHJyebV0ScDiQcU5gxxYxcDG3BMxRAx4SylIwO1/LQSkA/MeWD8CAAord/UBfcM1SeeuqpMQ9OrTjRqax6vr/lhObLXvayA9+Q4/DkVOCsNk9OdlBYzFNt68cM8vRRfmW281nerDxIm6F760bY4pjLrutFgUWBy08BfIPRZK/jN/gSXgY4mvC43gx485vfPF6TfeCBB8Y/muNd+Am+oW78QizEc+CCJ5Aef4mHlnfSOPz1pzb0yzVHGn6M5+K3+Cqozydtd9V7ngLoDIq7bj2MzGN+1KGjkJOcnRzq5BpDnmw0Z8qYP8F8J/OgNM9C6+CYZi5FMnrN+8I1p4/xGrtxekBBR6DPoYtA10A7D1M5iGcDN3ohQNdzGxEGnvZQaSteFDgtBaxp+xnED9JprWlOlccff3w85HjjG994cN999w35Y03b+9ay9Xrdwf5MRpNh9j8H1Ste8YphV/juPxsDH/DmRa8kk7cADfdBRzwiGb7lV+5B86vPQLprjlrX82nDUWDzEx8KH77X9abouj2iQPOKxvaU+RHIDXPRnNlTnJzsUHnWke+/Wi/kClC2uHkbCc/+aKP5mdPX9aLAeVJgOTvPk/pn2DamhOF1YgUz6hQEZQIQGACzqvwSIIMkz/2gjQDEKQjH0Qmd0VdgsHkd3alNT1f7jIAnroQMAcP5TPiYCwKfM5ODk8Li1RQGHlwEFmGUondc+wm55wZwzIWx6Otx5ecxL0F2DBFX8qLAFaIAXoAHtd8px4wpvEaQLw1vwJsYVvE5DkT1gLLJlpk88sNVenxoV/nKnCSuHfhnXubamDht9Qc/xX+BOgv2T4Hof7OYlbeunFIkP8lRznYPaHt4q4wHh60p66f5s07ld3+z7V7UcvM4XNMDjDe6upcuMFDbt2gneBCxBWXbc9UVbwF9a2ebt+4XBU5CgXntVd+eTb7QdenGAueLB//2Op5gLSq3a62G6zrF9id6tUftf4ckyGM087ASD3CCT1kQz9wXDeGbcW7xdl/c/Kij39LxIvO6BfnKAfGa+y2Fjr9vP0VntGydqOXanrJG6EPmgS5EryNn5/mqXvHcqrRd6XOZdb0ocNYUWM7Os6b4ObUX48K0ODwxIw42BoSnfZ1o4QBl/GFyngwueCEF0IbSwKBAI3SdhQDDgmLRdzY9JXv66B/UCQ/X/t3Y6QoniRjWhLpv63gtx+s5XjNxzXng+1rmisIirk31CCztmkdzZh6lCcqbT8JtVhj0LQURrgRSwi/FAV5poLTwWBPan8f8Qgqtu0WBRYHLTAF8gcFkj8cn8A08gYMJL8D7pJEheFu8ykMZrxvjdV/+8pfHpzZ83N4JUXVA+NWXFh8tTzvajueMSqf8gS+c2sULk28eOnlFUr/wX2NZsF8KJGvEXd+oBXNE1orJN6eRHnzwwVGXA57D49577x3zBY81I5BN5B+5au2C1p35v+xgTwiN1xjtLTqH1/s5g5zCMWY6iPQ/+7M/G44ie9XJa3Tl8Dw8PBwPM9obORjMD/zamWmmLbRXbsGiwD4pEE+I57vnlPO5Ld8PtO58vulXf/VXh/OOfMG37XV58zrdZ78uEy40sO/xAHwQ+MTHhz70oXEq3jdP2S4PPfTQoJf97KERZ5Y9jeb7oCO8QrjwGzwcTwHa2jVn8snleFv8Rzzz8PjUQHb0o514VrE6i09FoWditKHXkQnoaY2I0duDBJ+KIGd9Vk36b//2bw8nJ5/BTEv0FswhmPPc06taA+4XLApcBAosZ+dFmIXb3IeEgWYwIcwpxkcIEYAJIsxQ2DKw29zFS4c+hp9gzpGInpS0/pXYdzgJEAKGo5NT0ulNCgAHJoHDOKF0OLXJWeA1M2lbIRORtGn+9AEk4OuL+9K7bg1UdhR4tq7rxhPObX73let+xYsCiwJXjwJ4CYMhXmOE9n5GFBnBEYWfkBU9BPEtYU4VfJDS7GQ6g5QBlsECF7xwkEdnBfG2eKBYGl7stCDQT/1dsF8KoDN63wxYG+RpRnInkjjvyExGFtnIie7UUqANwTqzduEAV1GXmenpGqBb+zVaG/tLX/rSQbcf//jHQ/+gg9ivHqimD0aj8Krf/hjIj37koauwYFFgXxSwzlq3rS33dGZOTU46coRTXwDWa2X31Y+rgAdN7Ol4AlnmMAXeGe0ctGCfsEPwAc5OUJ3T0iE85pCM9zBUoC9I00d8XCw0//i1cupLM8fGgp/3fVb6x8yrtn0NF7wLfpkC6IPOyUi0Nif0NfZpdivZ4I1CayZ6b7GV3nyXj/bStunlr3hR4DwocHaWxnmMbrX5HAVmxhPDy2DF6DA8UNpsmD6HZF0MIYHJC2iKdoS4J2OMe6+HPH10ktNpWUYF4SGP4cYJQMh72spQo2RQRl7/+tc/p8xJY3Arp475CAgR7WpDmxQVhp80yiAwtwky93AkeMqTPisD0uf1IV+aQDCKE2Diua6yCxYFFgWuDgXa+2RCcsGex2fEeAK+Jg8Pctozp6WHNQwSp8x8Z42yrIyHOXhaAAcepp4AN4i/bPlR9U4Tz3wwviYt3uwaH8V/F+yfAuhrbQXut2BeyDxylZOzwAiejXMGPIPMugLWTY5419Zm35ftm5bbti7r/bwn0YpTCF0Zp7Ps93ZHY7fHfv7zn4/P53Ag2Xt0DfWVmx387Y3oGp3Q1ZztmrfKrHhR4FYpYO1mg5AD1rc1aL/7B/GHH3744OMf//jBa1/72rFm8QJ6r/0vTl5d93Vp/Pa5GP06wcfW4ODEM8X2v+8edzIWzYV90s8caj/HKmerazzZfCXn6681ow5+L59MpjfgTYKT6O4dAnGvv+oG++x7OK9ajK7WRbSNZubC/vNGjnXhJLWHieQJfUh5ddE7GdB9NHIfvual+8qseFHgPCnwPLc4z16stm87BTAjgAEJDE+KAubnVEsMTRllCR6h8tKDcHW/i6ltyyhb2i6c4bqVGL5wVq++FJdebEwA094F8me8MffwyWcoMBLEnoZRyggKf6BAmHsSTZHohFPtoTmh/brXvW68hucUFGPkzjvvHIJ8258UQP2JZq61TSmQZg4JF4rAFpRtvMpuFYRt+fleXWujWB4cx9FtrruuFwUWBS4vBWZeY//b83iHWJDmgYtrSvHsHOTsxOeePnrgI3iwgzelOMOt/hxQCp8S4lP14XZRsX7gpYxnhhjnD+cZY2rB7aVA8z/PszRrgC4ikD/ekvDQkAFmzZF1PjPg7QfODnPVusnI0nO4yGdxMtK19i4zRCN7D7i3ho2dPgHQDtAtABoZtwcQHlIwaH0zHA05R9XtQYRy6C7kAJFWe5edfoMg62evFLAG21vz+ihdY62fGm7PKq+cvWrNWbPWL/2ZU06gW5MrPvOEBwjKecimLly1H/7rGqOzgCZoal97kEH+vupVrxoPIH2yBU3xA7Rmf1THfMxzeCM6ojk4rjy+xLb893//9/HpLvoAp+fMX3o40zrI5tEvfce7yOV77rlnzLc5l9760e+5fenajQ76Vz9bI/ICaeoA1+GbcVa2OHw3KlPZ846P62vpaEXGOpzDbkV/+hpZYs2gtf2WPGg8xp68hSt80smNYE4vbcWLAudBgeXsPA+qn3GbmDnhgfFgZBj64eHhSHPPWYfpyScYMTHXmJx8AinGDhfGB5SBK6W4YUmfy8mXpg8AfvUSLNW72Rgu0LhcS9PH+jMzXPlAeU5CgIk3ppHw7I98tDBGOBlKaBA+DkyKAgPMSU6nJRgQhDihoQ6BATdBzTATKGf9ozpBQoDrQwJDe1t6NA/1r3xz5BRLdNw1juqYu+BG5SpTrGzzWizvVnCEa8WLAosCl4sC8aX4qn3f3seHnBZx32m6RoffcH56qOP7l+pzVHkIhP+rIw1+/DFjR54y8B3Hm2vjpLF2BW3iaQJHJznH2ekUA14vLNgvBchetLd2AHlnztF6XlvKyLM+5DHM/YuwT8FYV5zR/+///b/x+nq44AbuSxMrHz5yHc7W9ahwSX+Mrb1oDdMH2leGJA0Ye+XsNd845Sz4xje+MXSX3/zN3xx7gVPE3kNv+4/+Y260Yy7sl9Llwb/d96PB9XMtKdB6sU7sr9actdO+s17am/arNafcdh1Joz/b75xkdxx92sk+xpvTy8OP2K7n/XAtJ2AaNJoL6MJ2sVfRG/3uuuuuMR8+rUXmPfLII8OO+eAHP/icLaWeOUTTmX9MTYxLefFddQqVc48vOU3qDQ+2knatB3UFfWvulIePPJZmLVkH3opjn953332Dd7Gj5Dk1KlgbrSE4rRFtwK2cewFusbLJHH1FKw7Z2pc3020eFxyNWwy//PME/dgF9cv4lEFTwfitBSCP7er0tIcK1oSH076NyzEORzSr/o3aqs25zK60OX9dLwqcFQWWs/OsKH2O7cToMbcYNCGEuWVkxhTlExQECcGT0Ji7PzN9glGZIOarTDjlSdeWWKgfp2GG2oATuNYPTBnMfRoJRz/1QVlCbVcZSpgAr3IJiHCgSYKbEfbkk08OIZ6QTph4fZOwd/qE4ODcfPe73z0MfGWMX3/AcTTY1T/l9V14MYD3OBwvVlf+aevfTBurzKLAosDFosCL7Xs8pe9/bXuOr3Uag0OUDPBgiKyhOAP4yQ180DVQThmQ82bc7PEHv8XTtQ3c4/VknZNEKfb6tWC/FEB3MM83GWu9zNAckbvWgQeIHJ6MMk5whhrdhdOzeYQ7vOFyrzx81pX1lW5QmcsYG9c8VmPa6gJzfmNENwG9v/SlL41TPOhvL1v39kD0RCt58KCf2J5AZ+kLFgWigPVhveCj1mJrSL50jqf03bmOdbQtDxfg5OpUJxnSWwHVF1uTrfPiOf86XqNf82Gf29toI41M/rVf+7VxqhvvdGDDN3zR2r5ub5uT2WZQd0tfaUAszOWjuzr6QE+wNprP6mgHFCtvvXjoYg3prz45RMIZqQ38XHBt/eBZ8fj62FqUDhoXHhdP2+odbDf1lQXytdE45dVvZbThXj9rd1Q8p5/6WfNzn/S3cRmTPpsX+1I63eynP/3p0H/Q2UGct73tbeOBonmDW/kXg7nNFyu78hcFzoMCy9l5HlQ/4zYxOU+rYthipw0JOq8yeBUbwwfyMHNMsadmGJk0AiNmX9mYXLH6MVdp2hZcJ9jE7pULn1iasAvqlz4YC4Gkjwm16sANF6GpTgxbfuUrIw8NlDNWTJ2QNVaCkQHs3yCfPnr9wneDOqHEeFKPcNAPDk3/oP7qV796nOC84+hpNMNCPwl7jk4GiT9T0IfGWFzfV7wosCiwKHDZKYAnv/zlLx98zqkO/NPpATyV8epkHsD/8FJGCxmBT+K9+C5+CY/00wL+LgD4KPr6kpxwL9+pEcq+028L9ksBc90cuCZrxbM81KJ7c28NMMSsHa9cq+ubff6NmbPTXLU25MG1BfMrr7Yqvy13ne7pIB/4wAfG6Z3PfOYzB1/5ylcO3v/+948HsfYeQFu6C/3IPgnoXvSeXbSuzIqvFwWshZxD6fXWCZ7qnj5t37mewVprvcn3YMN+/drXvjYOE3DGqeNTC2QGPbpy+IO6fQP/Zpwxc9tX9dpcoBn64Hvmwb2Ar5JreCfZbF97m4EN873vfW/IXk5le988oC8cAN5wdy82H7t4r3bVl99aMFfaJNMFb36I9cncW0NwsUPVkwfoBvqkPJtKXgA3/QGfYr/JsxbwLmPoAc48JnX1Az0q35/cNU6x+nNb0rqH1/i0D1wrr4wxZDePzNv4M8/P3Ix+BOihHL6NVulV+osGXl3/1Kc+Nf7E7o//+I+HfFVG+bWvouKKrwIFlrPzKszii4whRo3pJcQw5IQAgYdxyxdi3JgdQQmkVbd86dURd6+ceoRDwlYfwlW56tZ2TFrc9UB69KNN5QgqghEog2HDM5evrH5g2rWDiRuzOgSkfLHyBGTCDC591RYHpydfDz744HitRll4Gh+nMSHMgGeMUe5e9rKXDYGnHLyVh3fu5xjE+lkUWBRYFLhCFMBHGTEeArlm+HJceSWN3Jl5IJ4uH59k4DB28Gz8Vdo+AP/Ht+HUNr6PtycfxNLJFX1Ivuyj7YXjGQrMcy7FXJDDc7rr0sllry8ykq0JMpQzPON4Wzc6z7pAch/OQuWua0ynOzw8HHS8//77h0519913D3KgEUBb+7Z9MhKPfqKneMGiQBRob7Uu8Fr81VrDw1tXlW8dubfG5OO5rr3qzNHJJrEGyQvOKLjwB2tT+dkWOI4X1N51iqM1+piH+Kt0NORY7DvbTk0q57CLfH/+U3l1zVP34vkeTaWV39xLd20ugVgbgnRzak30bWwPFzsYAlfOTuvBvXVEJrPbpOmnvsEr0B3ICvJBeXmCNO0ZrzoFdeBUtjT9UbZ+ywfzulJeaDziwNjcy4dD+7cbtLML9GGG+q28cRkTiIbenPCmosM6Tv6Sseqgn/WCRgsWBa4CBZaz8yrM4k2OAcPLsUnYeGKK6TFCMTcQsyaUBBBjFGN+CYcYqzpCDF895cQx24Fo8wOfoK5y1dvWCT9GjQHHsKUTNDMeTUiHS0hJkq5PyqoTDkLSEy9KFhpwbGZkcXT6cLNX6PTJU1FPmD1lJHgJYE+eKQ+HRwaEb3JKp5yJG4/+oE1GvDblLVgUWBRYFLhqFMBn8UaGjNMiTtnjr/FRfBIPziAhT/BEgC/jnWI8dx+A5yeb4Ktt/SL7GEwMKo40vNsDqwX7pUAyvTm1RlwzwMxNc65V8+XUke/2ef2RzmI9WTdkMIPMfJGhZOsWpAnmGVhL2lvwzCdwGLboyMlg/TN26T10Qns2fQrd0Nk8Oc2EhpwHdKoFiwJbCtjH9ly8tj2/LWcdWVft3VlP/tnPfjZkRbKDA46+TUYE4S0ufcXPUyA7B43if2jI5nOyk6NTMFfeWvNQ6Y6jN9LYMuZFfXVn2N7Pea7hivfOcypNnn7g49lL+DheRObGz8kDbXdIxVohG/TdtT7gRf5kzf8lGAM57k9f4aFj0DU8XPV2APzWEF5nHekX/qUP5D2c5L/xwymw+dRlB2qPw53dJ2gDPv3BQ+kt1rw+B3BGvxejWXWOi9sj5cM3p23vK7eNjVtf492+h4vvC+Tq4ZH9as+hCfzm6rR93/Zh3S8KnCcFlrPzPKl/xm1jwJg65uzPIzxFw9gIBg4/TB9DxOQwbIGQUi9mLo3wCeRXRpyQS8BWTjwz6XCK4dRmgmiuc9w1XMahz3C4liZom/Dc9pUgZTgpj+nrr/oEpO+CMbB8z4qTE00IOwKOgHZykyAgFDwBI+zkEXjSCU/ltqCNDDr01jfBWBcsCiwKLApcNQrguwJjxmvHnIf/+I//OBRrCrXXZskbfJG8wUvxw2QB3o1H7kPZTibA7RqQFRytDCXKvr7g3/or6I/y2t9HH67a/J5kPNZDYB6ibTJcvjlHdzKZk9MnEBiuDF+y1R9sMDwZ7J3YCae4uYKf3IUbkPXljYRr/IMW6Ade+tKXDpoz8L3O/sY3vnHoTcqgoZiuZz7sEXOA/gsWBXZRAD+3V4G1k45rLdnXgb2IxwLp9imHFSeWBxz4Mscbp5w3p7wh0J6Oj8Qv1r6Oqi+M0TV7TA56kbUd1HCiz77n1PvmN785bEH/du/hpHroHW2L57QXtvbMnXq1iZfPoK40sp0+oB9sJzwofh7/TzYbA54jvXVlTbGjrJNvfetbB0888cQ4merP1thmHKDSxD5/Ar9gXPgbW40OAo9+aMMDH/LmoYceGn/a5NNu5A57EOQo1Wdv7b397W8fTs8ejFrr0Uj56IDm7QHptwpoVpjxb/HcKE99gIbKubdPf/jDH45PRujje97znrHPjJNcXbAocBUp8EKOdBVHuMb0AgrE/DBkjB4TpNByAnL6EUAUkRio8sq5xxiFLcx5lam+snAI2gTlEQQJg3CMAi/yU58yWtUVjCWc4vqqXQyeQuWpHWFKeRc4NL3G8fTRt8EoAJyc8glChi9BTKhRvghKT/U4PuEnGJSjRKCRemJtyU/A1Cf97vpFhriyFwUWBRYFLj0F8E4GDr7pQRseTNHGNxkdZA8+jTdyquDj8UjXpwE4Afx4cfKge8Y1eaBc/ay96p62D+Fb8TMUIIvR1hwUmhvpjFpymMODPkLG9zDRw0WyVnmgvGCOtvMknSyu3LhYP4NezQHnBmcSx4GHvRnv0nImR0d10FNoHy1yLgrsooD1wQEkti/tabzWWrJ/8Xd8X54y8nwb377n3OJ0oWNbh8qrR27gBWRJD8fggGu793f16bqloesu2qBnJ7jJX/vaAz+8lsMPzdE1uYy20dc8gO63NJ3zqxdv1x9tkfHmkoOx9cB5aU6VsVaUsybUtR7wIjKg8eBB8LBZs+PYcPI5KOHQfzqGa05POD3QND443eujfONXX8z5K88aZP81DutZe08f2Yn6Ij8nvL7DGahTX0s7aYxG0RUOuG8F7Jl4NjzsW4d5OLrJ2MMjB/HrX//6sa/MA/zt0VtpZ5VdFLjoFFjOzos+Q3vuH4aH+Ykxtp7A9qSPIJwZt7IJBgycQJoBjoL8grSg9jgDQYI4QVi5m43hEzDyhKJxCLsYtbLaNkYCjbAVE7g5OsWMceX0iyAjGF/ykpcMR6c/HyL8GARiEC2MlYNTX7Qlri8pDsooX3yzY13lFgUWBRYFLhsFyBeywGtk+J6TFRRsxsi3v/3t8QcpGVbGxuigbOPf5E+89TTj1gcAl74ErvF4/J7x4gGfUxuMGOkAH1+8OortL874Ih/Ni5AeYL6sA2uEgerPE9xzcnroyGFuTtQF9BJ14JAuuDd3gnzQOhg31/wHLeg45sEJa87+T3ziE+Ob5NY/2tIBOQpmejZv15x8a/gvQgHry7qh9wYcU5xI9qS9bI0JygEOq69//evDCcOZSWZ4e8rJzgCvxgsA51I4yl/xCymQzBMH5oaTzj53eIP8RVMyUBp+e3jk/GL7oHGyUH11BXMYvw2v2FzGL8S1Cwd56x4/thbMN9sLT5FubrUHXAf0AP3lpMT/6QaAraUcm41OgYc99dRTw3lnnZEfbDDtVobNpn3jhQ8OoJxPJ3D0OhHqRKc0/XGK05jhYztyEnowlFOebajc1mZu7KOBU/xEb3F7JTp3/2LojVOwr9RBq+985zsHP/7xj8fpV/vsvvvuGzYxR6gy9tasL71YGyt/UeAyUGA5Oy/DLO2pjxgZppeQoZAwIAg+wseTq75BmbEgBuICPAWMGGDwQukj8ehHHQImhp3gEys7A2GUUl15+fBWb26H8KM8wSM/wao9golQ9W0S18YnOMmJ+WPsBK+gjxQs9TF/wosBjBYpB17fkq+sJ2LaziDQR31o/Dk4xeoE+gi24y5/xYsCiwKLAleBAvi3gCeCd7zjHYPHOsHzhS98YSjUr3jFK4aRFa+fnZylnYYWZAk8yQW8uz7hxeQdY4kh1et08Ws8evHp01B/d12ymfx1WgetmxulGZlOGDFcGZ+MTDL4Na95zZgf8rR1ka6g3uw4cZ+OYL6BOguep0BrG53sOTqPfcCIf+CBB577ZA8aewCBvpwh0b85eB7jurrOFMBn09utlXho60RsLVlv9n26vP1O/+Zkc7KYfv7Rj350rEd2iXJ4BdzWnntrl7Mertq5zrSfx47OeF60NhfoBKSjGxpKZ+PY92jonvPw0UcfHY5AJ76bp60MbC7hhDv87pV1v6uO9h0y0QexPrJF8RW2lHrSOCtdm282F/7kQekf/uEfjr7BzYbTX7xJvrHMNhubkEPTwZTvfve7w7FnneFxxq8P6imnPd8rxvuk0wXkkTu/9Vu/NcainsMxHJ3WKJsQHv21hq1RYIwzPUbiHn7QHBi76y195VXGtX4E5ld5fWW3cux+4xvfGAd2PvjBDx689a1vHUVz2iprPPBZF7vaCveKFwUuEwWe98Rcpl6vvp6IAhhXzM81hk2gYPoEB4aPeQPMDoOMuWKg7tVxrf7M2Lf3dVD9hAEBpg4cc93KwpvipC1l6qcYlOYePmELhKdxEGRPPvnkeILlHx4JqsZBWLqGj8Al5NDBP5N64tlpH7j1F32MA15GsjqEYv1RTp8ENC6oGzSG7le8KLAosChwVSmA9yc/OBMZJBxZjzzyyAGDCo/EPznAxJ3u2Bc9tI3Hi0H32qLIM27ICOle6cPPF7/eF/V/GQ86k6HoTkaD6G2eBEYpJyeDllGsHNnMcE2+qtdcup7Tt/fKLfhlCqSL2INOcjnZzKB/+uiUF10H3ek55oFeRN+xbxY9f5mW1znFeqCr29PWlP1sncxgXysj37oqv/3O7nCSm37u0IETdTlalMEzrFO44XAvf8EvUwC92FDoE72Uio6u5ZG1ZB4HmDm05z1gcjAEDwbxiHFz9KPcHJrH8pXf1pGnbQFeQVvWi35YD+rAa17xfnPN2cqpKHYwxcEVtqpycNAZrCn1ye3KkxO+E17QvrpOeHKqK6ffHqpJJ2Ncw6kfdBS80AO2973vfaMsByG9hXPWt0AbjzGoJ5Z2OyB676LrrvYqL8+1sc7zlE383ve+98Dbik6nAjRHR3OAturusq1H4fWzKHAJKbCcnZdw0k7aZQwTQ8OYMTPCsI8uY+aO8GP+QBlCM2YZw4SDkFEXSIcL7GLI8jFNeRiq+225hAe8ruXDX3l1toJbmxgzwYk5U8pz1lKaCChj8dSOsOzJHWFH0FOqCFPCkXPT00MKPQFAuSdYCbcZ0EPfhMbUWPRPmn7Vf/0GjU8/lUsRmXGv60WBRYFFgatCgfgknon/4bleJWPI+qMZvPlTn/rUwZvf/OaDO47eLJCvjvIMCLwfP42HnpQuyabkRQYK2aEdfdOOvpGN+qDsLjl10j6ses9TAG2bk+dTD54zOp2iYZSS62S1EzZOINFTzBXYronwteYq437BCymAJukfnJn2ABrfe++94yGE/eGPoRjFHvjSi+xFeou9ad+k67wQ87q7jhSwnuxHayqeaX0A+9Ke5ZDiRJKujDTrjr1BT/dKrf2NBzvRSS+X72BB6xV++Kw/a1Q6fGIg7nokXOOf+ORMArSb7TZvpdn39jT+KuZwZgeygdhC5qO9H89FY3jgE2aQ1xrYlZ49Jybvzam4OvoguK8sm8lagNt8uy7Ndc5Sdhx+dXh4ePCmN71pOHKl+farP+NV34EXPM9BF9fswnigtcb5WR/0/7Of/ezoh3bYl/qEZmjj2mcW8Ee2ItAGiDbuSxsZJ/wJT/EuNLVp7gX3YvRBT6d2v/zlLw872Bs1nLl33nnnmGM0QFvy1pwAddt/0XhXuyttUeCyUGA5Oy/LTO2hn5hlDrwUBk4/6Y899tgwMggCQKAJGGVBesxUGpgZcMKvWB6ozXGz44eAgVd76qQ4JfBUgVO+svou1lcKE8XcEzf/okdg+y6Jp3VwwUGg6oMTDJ5muiYQCS6CUIjJ1z3taaPxYfhCAjpnZ+Xrt3GoG33Co+8Epnq9BlHdFS8KLAosClwlCuCHeCDDBL+mTAuve93rDv7gD/5gKN9/8zd/M3i6h03K45XKUr7x6Jn/n5Q28AK4GcoUeA++GDCuKfiMFcY43o5/g/j3uFk/e6MAuloHzUuIyfCnj04VcnR6QGkunOjkHGd8myPzZU0ke+Eyr80ZnOEVa0d+abV1nWO0QEPgJBcdx/7zwMGe86DXq58+NeEfjl/5ylc+R2P7x35Gf2HBogAK2KtC0J4U03utKw+SgDRriI7u1fUHH3xwnCb0JymcSPY8SG7Qldvv4cO7kyfx6fjKqLx+dlIA/QT80nyYF/Pm38XZUd/73veG4xkPli+PzYP3om/8NhziGfCW5kNefLe50R5bTODUFnO6iuNJZL/+FawDslld68DcZwPiR/qmn+w6tiwHJGde4HV2vE1Z64tD0wM1vI8eAJcxwqstdiNHqD9R9G/v8tiJ8OONnPJ4on6/9rWvfW5d157Ymjf+xj3n3eo1Gs50jb5bPM2JtoXoh67uv370Tdy//Mu/PHj3u9998IEPfGC8vk620rfQwnybB/iNWTr6uG//bdtc94sCl4kCy9l5mWbrhH2dhVICCAMEBAVBEhPF5IB8jFL5GLf0yoVHGlBGHYHgkK8+pWQXs1S+oCy8c1uuMWz4xCnaGcMEEwOpD0YTUF6B6GQqAal9wo7ChJkTVn182xM598YPlzaU1w/9AvoQyA8y1pSTPsfKNK7KRzN0ro3yVrwosCiwKHBVKYDfAXxSwG/xZk5GfBQ/x7Mp2u4BeaHczH9Hxi3+qJ9c6Vp/yCcPyvBpMgBfnvm7dHDa9m+xu1e+OHo2r811g+bI9DDQWmCAZoyLm8NZrjaf0szdrrlK7u7Kq93rHKOPeUBv1/bC4eHhONmZHsc5gMbyBfPXnr7OtFtjfyEF4plSXVtT7dHSxNLxfLq7va6sPU4vp6u3tlqb271rvWZPtO+V3ZbT1nUEdEDDmR5o7N7eRavoJlaWLUQmksnSOBy93t7eJx/VBfDA0fW4ePZHO7VVuvtAWzk4ObV7yCjmYAPWhDYEddlm+FJzrpx+CvoFrCn9S6eQxl60VvAx4Fo+nGI2ofXmnpPUGjRmYyOL0CE9BP7kknT19dlJUuMwLv2ax7qvNYkOwXxdWrG2C/oouDcmNDS/6Ej30m+0Qxtlml/3M+3DVxsrXhS4zBRYzs7LPHu30HfMDySoKBzSUjAIAwyREoJBYnqeXsU41RMwQGndz10gYAgK30eRT4AI2pgZNRwYKyECVwp0jDacmDSc+so4rW9Ob7r3RMofXhBEnJ36ryxB5pstmLvXJD2Z65UsT+YIJv2rvbk/6FB6423MYmmEnX4bg/41FrH6xgNH5QlDUHrjW/GiwKLAosBVpQAeyGAQ8Gi80gmJe+65Z5zCJ2fICgE4eQHwVzwTrz0N4MUgPO7xfg/FnGQhf3xL1Otulak9vBsYw4L9UYA+kP4wY3WixpsZvV5ITt9xdCLn8Mj5Ro5bD15tN0/JVfIULjqHdGWaL7F8ZUub21vXz+wL9BHsCyeVvNr4+c9/fny/0wkoewWNOT7sXTph+2rRcFEgCsx7DF+1V+0/jpR4a3vVQw2vrvvzUKfH7O+3ve1t47RfurU61hm84Rbn9ErnnvPry3WN0QIPFAJ7G93lmQvXQvySzH3Pe94znGBsKXPjZCf6stvMDZ7NSQkHUHcX3WtrLgNPAA8ewkH4hje8YbxC7TVzjm55+o2Xm3ftwccGBGw67Vof6sPDcZdeoa9sPPwJqGcdah9vU1++8bEdtXl4JFu0I81JY2PyVgH7ksMXbm3CFU217/V3/UW7nIj601it0X3wyJnG0XwMbsdPtNeH7GppPhNhbL7HbKwcu/fdd9+go3xgHNpSDyRX2dLaXbAocBUo8DxXvAqjWWPYSYEYoXjLvDC5GCmGjsnHzAk6glE9QVlxTF1j4cMYCQkCwmlLuAgYhmSCSvlwFYcjxi4dLu1i0AxiChHHJqHk2jc5Kd/u9VUfGEeEX0LNEX2CiTCVnnDC8BNc2gpmOtQXMShWvvFW3n3Kg2uBsEjYqRMNZ7zhrP0VLwosCiwKXFUK4Il4HoUa7+bI+shHPjJ48dePXrHyoXxGF36JP8c/T0MPvHjmv+7xf8ZODlav8JJz8WNxdZQv/TT9WHWfkfvogJ7z3FoP5tuDTEYZ+S6NvHbiKAc4GbqdC/dC+oh5m6F2tvXmMtftGh17QIvGgHE+A6cnWqLbF7/4xfGau+/60aMWLArcDAXam/Pe48jiSKO3sxXo+RxXffeQU4o+b43i00J7GM/GF6QpJ92+xzvmNm6mb9epDJrZ7+hln6MZBx26daIP/c2H/c1J3Z8E4cloq/4McMUf5vRdclOaPphrsbkFbDOOSW1yVJrX+qRNshdIB9LUlW4M8THywoMyuBufdQZaK+po37jYt+rkRFVmPulIH1BGsE6NHR1cs0WjiTXo2+O+a2osaKKPu+gyOnPCHzhB8XFotBv90UZQx6cJ/EmvPv7Jn/zJeAV/zofPPRqhf3R3TT64f7G2j+vTSl8UuEgUWM7OizQbt7EvMbiMzrkpTJIAwdgJAYKBEMDktoxOWYJFjCFWRlrCxIkAeYQY0PZxAM/MUOFTF76+nwKfJ8EcqYSNQCjrr/La8cTKR5f7BidnJwFEKMGvHWWN0/UMjUE890UZaUD6DJWtvLYE9zONjT16hSe6zfjW9aLAosCiwFWjQLy20w4ZDQysD3/4wwf/8i//csDZKd03AvHn+OhpaRFfx3/Di/cy9hg8HowxthgCQfxevzMCylvxySmAnoK5nSHdgAPcnDAy6SDWi7npNFL157qupZtbAFf4k8/Sm1PX1x3QqzdgOBvoKuk26IiGHJvy+nbnfUcngXwLT7nKXnc6rvEfT4H47rYEfd0BBo5LTk282GEIBxXsd0Dnt0Y5oPDngM5v3SqPX1uH9np7u7jyK36GAvZ0/JQtRBZyBqI3G88ccDjncJSPD6MtnozW8ddoehwPiBfP86KO+mzKHJ7S9IUzTbtC89c6UAa+0t0DadaRfoo5IDt9TlYA4zU2QRvS1VPO2mNHkjPS8D8OTic90cEawwPpIz/60Y9GOac90Uxw0EY9/cwO1ZfGrL/y4XC97f/o4C38nLR+8/v973//4Etf+tLB7//+7x987GMfe24c+os++omO6GAtNLfy0W4fY7iF4a6iiwK3jQLL2XnbSHuxEMfEMDaAsQlAHucgIeEJ3/333z/+SIIDkaBSJwauPEYoqCcdQyQYvYZGmDzxxBNDwFBYlMNQZ3BfPTg4LrVNyP7P//zPUHgIIx8wJ1x63VEdffG9FKdxKEP66NoJTq+uU5y8UkApCup7Aqj04hh6celzLG8L0oxvHou0aD2nq+te3i5cW9zrflFgUWBR4LJSAK+bIV5JCce/yR7KND7tmnHhTwE4WbxaHg9N/qivbrxTOhmBp8OXPJKv7TkoKygDyBSvS3s45s8G1NceXMqB2h836+fUFGje0j/MhTQGI7o/ffTnRBwh5o0MJ9fvODr92/pQVrBWwqVTrq0L87Wds+39qQdxBRCgF9qjo+C6dY/28u0/uhuHlJN4dDsGv/Lmj97FUA4Y+4K6zU+0h1seR4dr+1u5BRefAtYDKJ57vGsO8U5zrHx7UjnzD+x1fBffdrLePj88PBw8mEPKmunBk/ozWG/yOWUAvLv6MNe5ztftZTSyx9uPrjsA0ny1p+++++5BX05BdlifemEbgu06gFua+gLcQuliwZqQz8bjTORs7DQmvGxO8zr3U53mWzpwz7YD8LAbjQVPgc+BGG8CKMcmhNN6e/zxxwf/ws/k429OZLIr8TZ6hzVKB7EO1aWb+BNbDs7WnjaNIVqqay1L019gvPuCmY7hREfp0bn9pm/GYD70Cd/2NiQa+PMvD7A4ld3rb3MJj70WvtK1oew+x9MYVrwocB4UWM7O86D6GbeJOQsYIwYtplRQTDE3eW95y1uG8fdXf/VXB18/OmmD+b3zne987qkcRqo8BtgTNMOgxGKIFBnH5Tk7CRcCA1MVE6raUU7bGDZ89Yugovx4kvbtb397vAbvXj1ltKtNSjZhR/h6CucUp29yyifE9E2/1cPwtedevlj+vgFefQRbweBeKH/fbS98iwKLAosCF5EC+H2yJb4o5lgkeyjn+DSD1+tgjIqvfOUrwxDh6FIuWcEIwcPJEvwWkC29CumbzMkz5ZI3YjiAviRzvC7NCPLP8JydpeuTQE4wdtRZsB8KtAbMm3khz80lo5rOwJnG4enE76te9aoh4z28dLozMB/hKY1stVZ25VVmxc9TAL3sFfQS6GLtE+tesCftCboVfdG11yGVd+/BsjIBHZC+ZT45HrRhnpSHm1OCfghP+7S6K754FDBvAO/selcvt3vROhDwYHsy6FQcnR7PtoY4nvB5Orx/z9YOfNLAVmfOybVtszZW/DwF0DK5Z0/itdGTY0uwL7PD7E1l/Eu3h0uf/vSnx4MnnyMzn+YLbNeCuYBHvv3fWxLK2et4ifbdKwcXXsDJ6CCLfvSKtWvrRqyv6nFkcjRK65pDVjlritPUumALkh3SrCf58rT7yCOPHHzhC18YpzqlkS33HZ1UJ1vIHuvxk5/85NAnOAed8Lzj6CGbbxd77bu+N6boiB5orE06A7mmXfn7XKMzLn3QDkAXNDKH+oGurrVvXP/8z/988LnPfe7gT//0Tw8++tGPDueuNyTREg82N0Cf03VaMyPj6Gduu7QVLwpcVgosZ+dlnbkT9BvzEjDEmSm7JkzKI5gEgMHKx1irJx1jFZzGJMQ8BaTMYLqECoZK4AkYNOaqPsFAMBKQ0jFY9TBoBqininCohwlj6gJnZoFBlJCTBi9hHXOGU7/PCmr3rNpb7SwKLAosClwGCuDD+GM8OVlCyZbOOeKUBTmC5+P9ZAH+npFG9ghwqK+eQHEXyxNri9wSC8oL8gGZQzYB8olcAXACOMI/EtbP3ilgLpof+oM54cymQ6C9Oe3koDUyg/k5Dm6Ud1yd65oerZqH9kn0kI/2HFacH/Q1+9PecSraCSHOTvXsWXvOvLYP4aHnwV86/Q9e5YG5bt+NhPVzoSlgLoN5/bguz3VrIPvBvb1tj3Oq4e/WjVeHrSE8fgbld8FaK7uocuO0eV4q2dyJ24Ouc0xmc7nPiWnf27fmDV+A13UAj3QxXOUr4762lJeG78NprrMXaz8+oSyblJy2RjhSk+31u/bg0VcOdPoEp2U2JtvSwzRrED8jW+gbYnjJG/X1MXlknTqA4w+0QH/Upg391y9tq0+HmMc+Kuz5Bz0bu36C5sO1NHSThk9z4BqL/mUzu1ZOaLzqgnDOc1raMyXW76LA5afAC7XJyz+eNYIXoQCmmBBSFFPDrDFDeYxMiolrT60wdQJwZugYL6ckQfLwww+Pf3z7+c9/fvDVr351lJNPCPTEy0kawodgcf3UU0+NV9091cOcpWlLvzBir1A5reMf+zg2Kddigsw1Bk7gwEcYBuonaBOEi2lHnRUvCiwKLAqcDQXwX4AnC2QBuYBn490CcLLyV37lV8ZJkkcffXQo6n/3d3934ATHW9/61mGYcLio6+EYJZ6MIJ/uODqBgb9rS768+cGaNPJAWwwBMsoJQvdOk5IxQP/g0DfBPVzJxlFo/ZyKAmgK6BnmwjwxKs2Jh5yMX/NMzlsTTuuYY2AOwZLlgwyn/kFHof1hPgQ6XjSXzyF1zz33jL1p/pz0clLqvqOTUU7j2dN0N04EOpm9Y67MrdcozbWTUvLpkMCDDHtNefkLLhYFzF/7be5Za0aa6xnivdYOvR/vtLddm3tr5LHHHhuvGdvr9vif//mfD77P1mBLOLVv/S04HQWOm78tVjJUQHN2lf0POAI5oTn2zBW7zWfJlGEb4tEclObcfjfn8jgPWxdwWQP2uTRl7HVOR7xBH32yRBlOyPiQ9vEZ98rCb13oEz6kbeWl4yfaBMo7bMM5ie/gUekb0q1FzlKvc/vzNZ+v8YeIcONDXlfvkA17FA687oEHHhi41ddXfWNvkk/GfHh4OE65o0v6zOjQnn+MT7/QLaeve31CE23ba07Mfvaznz34zGc+M96M+N3f/d1xklUZ9Bfao83Vi3VVmzdb9sVwrfxFgfOkwJIu50n9c2g7AZRQxMgEzBJTTQAQKhg+5ioQjEA9eYQWoUcoMlQ4KzFSwhMuOOV7ykT4xJA9fSOUBEqQunBSiggSbXmVhVPz1a9+9VCWCRYCD7NWDn7tGEvjKI6k8vVBmcZc3ooXBRYFFgUWBW4/BfBlRkL8uWu8GTBaXJMfeD4jx0M0gQEiH9/POIOHnBKTKeFxTyYxADLi5EnH/9VxKo2zkzzh6GQE6I8gX/nC7afM9WqhOaMjmBO6gfkwzwxf+WQ/Oc8ZwpBN57helDq70bbW0dm1fTIDPcuepONxWtqb9imHJSeCvZbDo7lqP9G/0tFqB27ld7U1t7uuz5YC9mPQtbhr8xXM19KaW/Pf+pFmn2cj2N8CXb9PIOQctx7ivbWx4rOjgLkiR+MB+G57/Wc/+9k4+OJko8A+IzNbF+xAjs14gL0PyncNP5vNARb8gCxXXjvqkwM5WtWzFuDJxhPPYbbl4I7vsFvVpy/oJ96EV0kXjMkr7NYfOaOcceuHV9rjc2RS/eJQ1Bf9VV4/jN83P9XjFIZLezM0Bn2tf3P+zV4bj/bhs5+Ae+nu23PowM4WPDzQH3L08MgZq39oru/G0TzfbOjkWK0AAEAASURBVB/gXrAocBUosJydV2EWb3IMGBeBg1kWpGHKmCHAJDF8iomTlwQEQRDEfAmohFT1PeGCH0PFjD0V9JSMQSNNGxRnTk6vCcgnlJzsIUTEnrgRSO7vODq5k1KEgSc8ZoatD8aSwmQ8gvbFoLTGsOJFgUWBRYFFgdtLgfgyHk1uAGmu8WT8HF8nFxgYTvMxUBhWnCmcKgwVyrrylHXyotMh7uPxcDrNISgPd3zftT6QQ/6M4Nd//deHgcMAUk+f4E121c9wj46vnxNTAH3NrxiNyWqy3/xygjCqzSX5LxweGWl0DnIerHk4MelvWBFd7Q20B67NUfS2L82DubOvnPQq9gBb3hvf+Maxf9W1l5Q1vxwcOVHmTkgH1sGCi0EBcy4EzX+x9K6L57LxTTjMvbVgnj2scqjBH5cK4N577x26fWsup80Wb/hXfOsUmGnZfp7TZozSzUVzaE87bGKfk5XkokMvHkBx7oFwkdXwcwSaR/s/eVoZ5clwDxc5CHN2Wh/aYA9qA1TftTUEB7mtjroeUupnskS5Hnhy6rnGs8T6RU/oNKq+41VOq0ujd+gzvA7VcGyq6xV4D3WyT/WBDQo/m1R9JzvVu2P6Az19CfRPv9E1GVbercTogTbidKBo5R4tBMBWf/rou6X6Tq/RT7Y0ez66Vfa4PhgrugXzHJa24kWBy0qBpXFc1pk7Qb9nwTcboJga5knAEGqeDhFEXj1hgGKaAUZOiWGoUH4Zpq4d9Y9RYvCYMjzSCTRtEIoYLuZNWGDIyvqnOE/+CCGOTm0SMARvwmxmvOprK2Ggb67hUs44tkKmvs14GtOKFwUWBRYFFgX2T4H4NL6LJwulMYxT2Hu4RS5R0MkM/66qLGNJPcYJ3j7X1+MMI2Xg6z5Zo23yiCziRGXokDPkDYAvIx0O5QujwPo5NQWaM4jMcW94mA96hFcL/bkEo5jDs7k+dcMLwS9RwFwAaxy0X7rPwDYHdDZ7UxmOafuSXveNb3xjPDCgu7XnmmN4MrDtp/Q0MQcAXAsuBgWas+2aqHetCXHXlZ3LyDO/8vBS9oNDDZzi9rc1Rcf3p3BsDXaEOtaC9RPucK74ZBTY0nF7v8Uq3x4VAJvLSUdz8s1vfnM4DM0fZx/nHh6tjnx83LxyEoLu4Yp/K4ufe33cmjD3bDr2n3uHaqyX+mkNWRPKSMdv3OsTB6m2OPQ6NQyfuuS5dvAruMkV60+adUen8Me2+JJ8/bdWtWNc2mFzcnLibw78qKMMmghowDblDNau68Zu/O2LYmmnAXjQAKCncaKxWL/RyhjtJX8g51qf/dmw06doYkzK3gzPbQ7meF9jOQ0dVt1FgX1QYDk790HFC44Dw4ppxcgwUWmYoIBpiwkHRqFvaTlx4XsmmGrgaR5B4mmfp0n+QZ3D00kNrySkIBMm8KkrXbuEIGZM+Bwend54+ctfPgQPhRlTVh5jhkP9BJK+CnAog+HDK7iWBre4duuvWLmEhvxoMJdZ14sCiwKLAosC+6PALHPi6fFexopA7uD5jAcP1fBx3+r0StYPfvCDIVecvFAm3q0MSA50MoUxxJHpHojrA6NMeUEZhovycCVHRqWjH33U1oL9UQA9yeDkt++LOfXFqKRvkP/mn/5hfsxBa2V/vViYUKA94To6z7Rm+DOgzYM9Itif9iEDnxPk/vvvH6ewGdaMf/vJHm9v2tdwmm/7vG/MOWE1t6UPC86XAtYDHjjPi+vCjXqn7raeteMABBvBN/3tfYco6Pn2uLbsfzzdgyxrZV6TN2pv5d08BZqXaLudq12Y7PXDI9vMfrevzZO5ZAuy8xx0YcPZ6/a2uQw/GcuByeGYDJZnzysH5Jlv/MI6wWuA8vpbH60N+exKMtsDF2XwpOrpm/7qh4dkHOmckvVbXeuLc1N/jak1DSdQN/5GBqlrDNr49aM3QOTrb/qLWD/wuXmM+l2w3oV44WjohD9wzoAuwDjQznfOvbHiYBL5yqn8vve9b7TfPLQOZjzz9dxG9KlO8Vx+XS8KXEYKLI3+Ms7aCfocQxNjYOICdJg6wCAxf9AJzwSDmLOTcSIQfJTYHJ0ZM2JtEHCCe4yfoICbsKT8eKJGwBweCVcCZQvVr59zv+c89eQJxiGeofrSXG/z57LrelFgUWBRYFFgfxSILydj4sfkAj7uXp5TF+QBhxfZ4gSH2MMyZckmuMKnnvR4OgOja72Pz5NbDBhtaYeRwmggj8KnvLrVr670BaenwDxnjGJzSr/gCDM/jFiGqjme18mah9PTfhcG6xzsoq89ZY7EIOPd/Jgbc+RElsDhwKFg/uTBJ6gDtGPfwRW+kbF+LgwFWgvbDs1rY77elotnSlfO2nFym41gj3NUWSP0fmvHfsfXxeEt3uJe9yejQPTczu08V7swZ6Phy2SxmOOPnUce2/MclfNe1xa8gr2+BbzBGsATOBwFvCQ5oD6ZDCccYv2Qb72I6QbSgTasHeli6XBaY/rmMI02yRiOTtcBHqQOHPU5/kYnYIcar/z0g5ya4ZhjOILw6Y8xNQfl32o849Yf+OAu3ficROWEdq3/6OQ1dmMwrvpys23vo98329YqtyhwlhRYzs6zpPYFayvmPHfL0Xfg1QWKSq+rExAUW+me7Dsy7/Snp0sYcYwWTgwWo+3pF6FJEP3O7/zOeLpL6RFixD0BI4gIMIxanHJMkGHiASG0C7bCRV/g0b+ExXF1d+FbaYsCiwKLAosCJ6MAfozvkh1bviuNA5IMmOWFT5t4EJZDhYH1T//0T8OIecc73jHkBlkD5MGPz2ewiJNr2meseQPBa17u77vvvnE6TftkA1zJKvce5rmvjZONfNWaKYDu6Gle6A0/+clPxicKxAxJc+6fct/85jc/dxqGUU23YKh6QArHgv1QwH4D6W6dXAp7+yd9THk62uHRQ+n2q31nr/zt3/7teGXSa6Y+RXDnnXc+t9fb++pyQJhD+w5ee6x+1O6KLwYFzIu5Om7PtT701hy3PppP+/ov/uIvhtPFa89ve9vbxr9p0/k5zVpL1sBxbVwMSlz+XjSP5ixZOY9KfvaXdHxawHff8573DHvPqU5/7Pfggw8OefqRj3xkyGgOyxyJZDE8eLV51VZtc3Qq21wXK5ddV9m5b9ZTvIkNWD1yOmCTshedbuT4U8bDUmPQl9Zk5d1rtzW8zdfv8NNBarP6YjwMZJ8atwDvPoHOJNCTODT1jX3ucJFv4PpExEMPPTTm6I/+6I8GHzb2dJh5XutXa6DxR3fxlhbVWfGiwFWgwH5351WgyBUdw8y0MToQo3MtzT3jgwATesrlCS0G6mksgeKpLeGGCasXU1YXMyUMBNdwigGBRQAJ89MywoXgqI9ijDfGXPpAcvSzvS+9cW1j5QuNszorXhRYFFgUWBS4vRTAd2fem9GxVbAp6Hg144gTbP4etFeeyRp5jJnK6nk8v2v38skVsorsUofThRyqP406mULmJK/KW/H+KMBQS39gpDIozZMTOLNBa37M3Tyv++vFwoQCrXV0zlC3D1zbZ/P+Ur692ts4PfxON7THzC+9sblsX6nbNVwLLg4Fmhdx1zfqXbxzjpU392wCNoK9bf04ZebbyJxa+C8He7xfW9YeUHbB2VCgeUN/17v2Jh7glKQ5xaPJXnLU3JpjNlvzOD/AiI8kQ7WhXPOrvcC1+VdGvvvquYZXrD5QDrhnnzpAw45031jkq1O77uGUNoP8gvTquA5XfZN2HMw4jitz2nRtRD9zgO9y7poT9MaP6TX2mrnaBcZX2NID/gWLAledAsvZedVn+Gh8MeSYnSETEDODl+aekkqIUFAwTydjnOakyDqVgcl6ykTBpdAQOpyXFBmCR3lH6sVbJbo6KTjaBJg3wYZRC/oGH6GKMcfonyl9/K+ycIuBcRMGYmMrbVysn0WBRYFFgUWB20qBZA7+DvBygUMEb8brC3VEHY7Od77zneNEybe+9a1hdPmGJxni31DJKbJHWfx+lnEZX9pwzUAjs5w8820v8q162lQ3qL/dr3g/FDBHgn+7/bd/+7ehT5DVdAxz6UQK2Z9u0Pwky/fTi4VlpgBaty+l24+CebB32qvVUda8eNjgu7rmkuOanmZ/cZA6vcf4dtIz/Uud9th8Hd4Vny8Fmht82HVhV6/Mn9B+dq0e8KaXP5UT+7YrHn7XXXcdHB6dCO5wg71eO9ZfOn56/642V9p+KGBe57mbscqz38VA7Fub5ghvZvs5les7yxygnJ3m0p5XRjCv+IdrtiHQnrmvHB6iXPfkuXbZe9p0rz770X08KVzSlLW+8Bj41NGXXaCf8S1rNnytwbmOcsrIE7NjgTYL+gqHMsKcP26OfoxZqE7pJ43RyulYY/Ed3KeP/nXdtzrZ5faYPyPy/xfmq3brmzalGQ+6di1d/5TbVz/hXLAocFEpsJydF3VmbkO/MLUY/8zoNBWjJ0g8hSXgvIJC6HiFAeMnVAR1MXzGZsE9hioQdDk73WPSKcSUYcLPSY76IF9IEYoBq6tfMW73mDVQdwbpysbQwx2uuey6XhRYFFgUWBS4/RTAfxkIAP+OL0srXV5KePydnGDQKO9VLfKEk4zi78RJbwfIJzvEgvpkAFngFFGnOj1QY1D7R1bOGniUrb3qL3lhNvYLaEz+myeGmtciOcnoDP4Qgq4hmANpypsH1/Ma2W+vFrZ5b6Zn2aP2hhCYD+ntK3uPQ1NsHu1Lhjfn5xNPPDH2Jyc23dD8aWfWy8zzgotBgfje/2fv3pp1O6rC/6+X4YXKjojEJCCHkAMhEMIZQcBSoFSqvKE8e6NeefP7l5eWF1Zh6YVgWSqIYJWAQDhEQsgZAoEkHAV3EQu1fBP/9enkm3Smz9rZh7Wz91qrR1U/PWcfRneP0T1GjzF7zkf8TLLPPJjnQnPCuranZyeQ1fb//szqiv1v8vtTIrIcbnMsp6drwbwA8C44HAqg5XaNuZ9p7Lp7fMSfuZ57pwXlcSpyduLrD3/4w7HW2Ymn9p3YOamVF6x3dQD+qqPt5HpyIP0b/xu5uvohHT51Zx0gvbb9eS67VODo6/uc1YMTLjiF2qqvM42ihTx9Vd68Doey8qKR+7l+5eSrJ4ZHOF/QBzQEHj4B8pW89SfB2uDopEONn90+ryn1gX4q67547vt8PSo88aMsOCj/iWIrWhQ4EhQ4/5V4JIa3OjlTgPBKEFMYCWLplJI8aYS6J0mUnCdJAmPE90IYioSfb2p5vZ0Rqh4nKKVD2OYQ1QYHpk0xvN/4xjdGvvoUUwarmCLqNEF9Vk5fxPoId8JfmhDIL0hvHHOZyq54UWBRYFFgUeDiUoDsZdSQxeR78tk1uS4EGRfqlKcePcFopmc4LDlXOFboFpv89Fi429DDo7w3Enp1ki5yqpNRwIBShxNOO/UzfVO/VnzhFEBnp4HsCzjEvB1iDuCD77N6qIrPM3CKyMeXpcNnyhzONZ5YD9ZLa0Zsf9XeSUvK4VX7RrxQzvrBn2uvvXbs26T75IQ9nocRV1999dhD2tspi/fq5RxZPD0cPh4GluTwM/HEXBDwMXluXnighL8cMD/60Y+GreBUvvlhXavDNjAP8F99Mll7s9w9jLGcdBxoi95oG1+jibSCvPhZmngGuhX/PCD0yjS9S/9+61vfGvLc2sZP8oIswV/gHpgj9DZZXlviQHv4r156t7c1tC1fekFd8kneqX1Hq7rmHR3u3sNRc0576oD6hC5AOjzuG3fptVcf4Z+h8nC4nqG+wZusY89Gi7ns2V5bW+xsONEaXm+3cDx72MQed6LTPgit6Vhj12/3bHrXc7/1U2gMxY25vrmHQ91oWN6KFwWOIgWWs/Mocu08+0yAEZzCDNIpEcKRgCPcKDkOTq8t2MB4Us8BSoBTLgQrpePVBvdCeAlYQl4+5ZUihIfQfu5znzvKS9d25Z9JMcCfszMh3TjgSQGJt/mVW/GiwKLAosCiwMWnAJncRtk13ZKOSFbXC/nypAvqkeGMFydM6Buvo/fdME5LOsnmvjpwBK472Uk3KUMfwUfvuKfvGBCA7tGeAMKl3IILpwBnB8ON85nBbF/AUOYY6w+ptILuQvzHD/eLDxfOgzBEY/suwKhuX9X+r7JiacrM60M6/gkeeveZI6+zW3fu4bc+rTv14bH/W7xEvcsHzpUf5LQ5JMZTMpkDBs+tcXznhDFfzI/mlzpAzAlG5rInmoeXD0WObk/iS3psHgk+J0+lz7p4OwfcW7f451VpJwc9zKAvne7EP38qB8jqGbfr9D65UjvK6l/zQF+S8+oI2YAHzQm4lPGZNX2jV+hxtindvj0wow14zVPB9bYfpYm7VqYxjApn8dN6SNYdNIazQDWK6K+xoaF+katoby9kT+STPHSn4M+EtYs2ytaX6NnY0L7raKMxabsgXu3KW2mLAkeJAsvZeZS4dQh9zaFJKcxAeVEcNqMMEcKUsPUPfF5P8QT/yiuvHAqFUkloEqqu4XWSRkwYE742Pq5Lpyw9keJE7fsiFIp2CXTtAu0CdaXrk01zT60OEsyj0hM/ldE3fYTHNQVe3lx+XS8KLAosCiwKXDgFyG8bc4aRh2YZtGQ9PUMvcDhKTxbLI5uBNBtxwBn2xje+cTjIyHAPzPyzun8jde8VSW8g5PSExwZffadRlFdu158a6R/dVB9Hg/s/+q+fcIW3vBWfOwXoX7zgFGOs2Qc4jcJAZUh7+GlfMEOGGAPOngIvtnuWufy6PjsKmNvWH5paE9YKo9yasx7Me/uk0qS3NsX4AoeyrQ/8y+i+7bbbxtr/i7/4i3EizAk/rzTb22nLeoOjPd3Z9XqVuhwo0F5fbA6YGx4k3XvvvXsf/OAH97xW/Bu/8RvjIRT5T8Zbv+aSh1OuPehQT550c2jB4VAgWyeao7O1NkPrWVzAA9dbkG6dcmrSoR42esvv/vvvH3rRN7DZhNqL1+YFnZn8LoY7O6x2uicX9F0ftAPmPsljIypPPgE6m+7XHpAuHw6xdKE5ph/NNWXk6TfcQtC98sY0g7z6XDm4wq0twfjl196M41yu6Tty00naP/3TPx1rh93sTRdrDf3TifZOaGfdsb2z4/UN6CdwbwxiaaWPzP0f/ZYWfVzPvKjcihcFjhoFlrPzqHHsEPq7S8CFlrADhDZhT3BnPBJ6hKiNLWGpTGDzTMjm7PSU1z0DR33KSKCkCHD1awsO19tAKAuVU+dcYcZZO9vxnyvOVX5RYFFgUWBR4GAKkNs2zMluJZO7yeS5trzke+Xk0x2cMvCJGcv0CL2S4eyEQwaGOrXpYZkAL2daD7rK3+oXdYF8efXn8dT1G91QAo/cz7w6iEJoiQ94xmhVDy84QOwFMth21Y8XtVfbu8qutGemQPTcrs3muvwCmsdf+QV1hfLwzykrzgf7O3n+pMa1NYr3+G3/aC7Uh129lTdDbcxpcMx9m/PW9eFQAB920T7+iO31vdklWNvmAdvAA6ogPPHe3DCP3Au72qjuii8OBVo7c7yrpXjncAvd28lJDjXBiV7yHJDj1iX+zutz5jF8c1Bvy//qyptBPXli88e+gM4P5HFeygPKzbHr8kbG/s+2L9Jrp+tt/0qv7nyvrDZqJ1zRWdlAHpjxV146unFeSrO+fP7FGvONToeFemVfWaB89KnejFsZ/YJPqK/StyAfFG/z1/2iwFGkwHqsdhly7f/tw8XqFqFISSSQE5CUh82KQBAyKG1SPbn1ygBF515933BRv3KUHkVjc9vGV6wdBo1XWtTxsXLfcnKqg3JMGMNpMyzoh/v6CU8b5fOhSW3oL5z1+3xwrTqLAosCiwKLAmemAJmb/KYDXAPpyWEPykoPm/zkdWniDGQOS04V9eglpwSdNHGyU3r16SlG2Mc+9rHxVoLTEDfffPPeqVOnxmlCRnqvtnt41ymj2kwnaoc+WvA4BRhRTvTR9TPvdvFMjQwr+4MPf/jD40SQ777ZE9x00017b3/724dzxFxA51k3hzNewJcRp+3ypQNtKRts80s/6TG6oLN1Kcx0ko4XrVl5uwL+c3Yob28W36xTwV7R6V11lbMW8Rf/8F4d5XJOqA/w0L7T2ozvtV9+D9Ol75oHA9H6uSAK4EtrHJ0B3sRf/HL9la98Ze/v/u7vBj+vv/76veuuu244YsjUTpbZv8eneIb/5pg5MfP3gjq9Kj9JS/yZab6LNNG9eFsGv61daxY+687axDMHWVxzbNPJcHBwV8a9OmK8JlNcm1PwgfoHn+C+OTbnj8L7P/ApZ96EU1pQvjKuC7VTuTmeyyhXmPs0lzeGxlbZYrjKV8dY0IO+lK6cGFg7PfTTVoCmTs+ik/2MB0b05u233z5kKnq/+tWvHvY0m9y+hZwUGgtaow+89ad2tTOnzen1Yc6HM3qWv+Kzo8D/tw9nV3KVerYo8NRKe7ZaXO1cMgoQZAQhoHQIXUIZEJwJP+nyCVGOSq+aeVXFx+cJU5BiIswpRUpIAHBpx0YHToL5TKDcLqitXXnnkkZoL1gUWBRYFFgUuPgUIPNnfTC3mHEwp53pmg6ij+Dj1GRE0y30z3333TeMLkaBNp0+YSRwrnGY+Ndv35J76UtfOgxxekD78hgU9I6HbgC+OSi39MbTOYMXDDi0xgP0cb0L0BKNBSdSvva1r+1985vfHPX8IZFX8Dg87R3wA140B1uc2mlPIh/uuYx7fZsN6XApH8x1SjtpMRq0B5zHLt1+66A910y71gmeMNBbVx52X3XVVYPfvt3plfXTp0+PN3y0ZR/ooYO1jO94tm0PTnNGXo6AeS3KN1faa85jWNfnTwE8BWI0bq1H+/gvdtLMid1HH310yOB3vvOde29729uG48saxJseSs38NU+St/W0tStvwYVTAB3Plpbx9KBWk6d4SLc6sAJ81oyzzh9SPfLII2POXLH/arU5A8SCuUPWdC9P37RrjsmHu34kV5RzXbp4nkfyt5CsKL263W/js6XRth68+n02kKyqb9EhvQgHGscz5clFNrVrOtNnQTiXrTHfKH/Ri140HMv1P5q5105twQuH9C0ttve7xqJMuHblr7RFgaNGgeXsPGocuwj9bcOREE/Q2ZhQaoSmTS2jhTAG7p2gIUxtclNG4VImByohD+fZCFn1FiwKLAosCiwKLAqgQDpFzJC26ef47DU6Tk26yIM5pzj7JqETZhwjdBOHWg4SMb2VvqOf4M5AkG6jv/TV0+cfuvRgMtpFI/QD7qOlvYP9AqeXdIavk0BO98UL6fijDl7hi/t4Yu+BL/J3GW61pXzlXKsHt1C/1BcWXBgF8MfeEI05veb1Em99490pXg4xa7MHD97ssV/EB3Npa1DnRIdbwEsg3ZwRrGt9iLcXNppV2xoS0FscP8lX9MdrAa/w7dvf/vb4jqC1fcstt4w3tZQT1G2NhXcXn8qLv/NaXRy5PCiQrLfWBPdsOsE1p5z1z/ltjZsf2Xwzz12bE3A0N8rH/66bE5fH6C+8F9EjWUUfopk1kvyUJj/Z5oGQ053/+I//OJzJXlfnSHbgiMM5Gkazeol2pblesCiwKPB0Cixn59PpcWLuCEaBstkKR+mEKoFsY0mxMST6DiciMR4ZMYwXQXkAl00TpeYUztyG6wWLAosCiwKLAosCZ0uB9BP9QafQNQwJxrbvQj/00EPjm1b0FJ0lzcM495wvswEGl7oMDvjcC/RbQb84VxY8nQIZrOiW0aoE+uW0QFfXHJc5Ohlv7tVjsHFW4yPAC2DPkGMaf+EQpAvq5khxPYP8eCh2r3/xWPnCXG9dnx8F8MzJPQ4OD8DRmbHOidmfhuCv9Xd6/2SnU56MemvqNa95zShvX6nODHgEN95Zv05A4aV5UBvymzNz3XV9YRRorYnxCb3xzJpEb3K1deeE9t133z0eLN1www3jdWb51q0y4tbeQb2yTme5gefhP6jOSn/2KIAX1m9gTliz5Le1jd+c4b4l6RuSHJ7+cE6d5lL8FAvp7fLhnudAc6J6tX0UY2OwbuZ1wNGJZmQnOrKhBfRQvgc5Ps/z0Y9+dMhBJzk9IHrOc54z5CvawwnQaxvPtIueo9D6WRQ44RRYzs4TOgFsLhKWKR/3CWcxIzGjwRMnyo6w7t/4ODkrg4zhsVFVP6HsHlCY8C1YFFgUWBRYFFgUeCYKZDS0iWdA0CG90uUUJ2fnf/3Xfz3p9OSEYaSfOnVqPIjzb9GMBPXgyTkWTnorXViZZ+rXScpHGzQC7Q9cS+MgBnM6+jJ+new7ve/sEhhy9hAveclLxicFfH8MZBBybGmn/YFrae4Z1gC/4tlIeCKNEa08XGJBuZmXu+qGY8XnRwF09zAB79E+54h7jk8G+o033jicIP/7v/87HJif+tSn9n7sx35szzcefcMdj7eAV3DgO14CbS04fAqgb2sbjV2TqdYwHuKDfTtHzT333LP3gx/8YJzslObE2ate9aoneaVs6841cA/iY20lg9235kfB9XNJKdB8EFvTAfntQQZ+4bs8jk6vtOcI9bmY2R4MV7K3udA8MQfo6UC+dipf+lGNzWv60aEgJ2B7GGSdSUcHadHaiel/+qd/GmvNSU7yk77sjRV0nnmCLmgozLpOOhpGZ/cLFgVOOgWekmYnnRInfPwErhAkLG1gCVIx4Uk5OanhyZQwC9SUG+Grvnux+wWLAosCiwKLAosC50qBeSPvWuAI4TxjXHGYOM1JL3mwxjCX5pV2TtH5zYOD2p5130FlTmo62qTL6XMBSGP8zrq+dHzgNOH0ZOzZJ+AVns0nO/GyOhlt3cMvPwOvdkeF6QfuoL6K5/TyV3w4FMAL9G1/iE/u4xGD3sNxjk1zwFywJjnLnGbyzdbmjR7FN9dwhb/r8MpfcLgUQHv0RWuAT/b5/nQmB7a0H/3oR+O7/Rw3nFJksFN98sIBT2FXL+OzmOzoflfZlXZpKBBPxK07a5v8tqY9OBTw3YNF8t3DDOtaHbALh/TwmWvkvaCseyFZr+xxAOO1H/FWpBOd1oxxcnaKOTDRwLjJyAceeGA82GFbe4Wd/BTaw6gzQ3SWFu2jcfFcfl0vCpxUCixn5wnlPEFIcLZBdZ/gnIVkwtVTeAaMDc9HPvKRvVe84hXju2k2Q9KVswEitClFAF+CHM4Z7wkl+xr2osCiwKLAosAzUIDe6NQgvQIyjqvK4GIsvPnNb947vX960OlOf1bEueINhDe84Q1711xzzTDQ0mPqMuQ7WdFJEs6ZjAVlGHLpR/cnGdAletkvBNLRiV6XHo2VZdxxbD388MODJ/YJ9gUcnYw39/FX/V6ZlY6vOUsZiPEI/wX14pU2zYHAvNEncfsN9ed9TmVXfH4UsH4Y8GiKP3iA1uiO767R3F7w1BOnq3/yJ39yOEY++clPjlNOX/3qVwcORnwnntQJmk/xUDqea5eDZXYcVGfF504B9I3GXRfjh7XmhLY/S+GIcYr+da973d6LX/ziPSf8QCdCXYfLNZhlNv4V5Jk37mtP2oJLSwH8sr7FrWux9Uh+c8I5aehEt5OdZPx///d/jz+f+7mf+7kxX8wHax+O9CgcBSPE8/C6b727Pi5g/NYPBzE5aD2RXWJOz9aKP3kiD+lK8g2N3/GOd+x5I8WnAfoOcuWtmXDD71oaelbGdWvruNBzjWNR4EIosJydF0K9I16XQAQEJMEoHATPe97zhtD+3Oc+t/eBD3xgGC3qU2qe6MFBiEvraRWlCad7+Qnig9pY6YsCiwKLAosCiwKcVfRH+iT9JN3mHtA3DCvG93e/+909jhQP4zhcnD7iNHPyaKt3wk13qS/fdSCfTssA29av3EmJ0R7N0cF1cQZX+4jokdOLA9prjhzQXsfj2PIqpBNjjDT8hQudOTdzoMEjHw/wuDZrT9nS8C1np7R4q35l9K8+nnRexqMLidGWc5rzwxoL8NMJa8CYn53bnJ34+5WvfGWU8cqmk9j+4dka5fCc94n41TyDzzX+473vhMrnGI+vyiw4PwpEZ+tFSBZaf07tPfjgg3uf+cxnhlyVZi2/6U1vGrRPLmz5EC75Xc+9m8uvNTlT5tJeJ2PFZGl8wiNy2kMGtqAT+hzgZLw1T8Zbz66tY2XxHY5iujZ8Ruk6/av8cZoHxkxOCmQbByZHp4ewaEs+kpeAo/NDH/rQWF9XXXXVOETkQS35tgvUp2OF1hbazfTb3u/Cs9IWBU4SBZ7a4Z+kUZ+wsRKIM+wSiqWlmBKWpVNgnlAJBLVyNp02uxQVxZVxSoFRcja3ymWMzH1Y14sCiwKLAosCiwK7KEDv0CnpH2XSSa5t+BneMzAs6B0GmbJOeHJ+uudog4+uop+AMspLmwFuuBYcTAF0Qyc0nPkkTR5nmNfy8Mi9EypOdTL8oj/s8SRHF+cmEOObWBtAjFfK2lfU9sjc5HPYKANcKxuekbh+zpsC+Ic38TE646X9ITrjkXx55oRYvtfXPYzwJxwcadYop6j5gtdCeHWwNR3/5HEcqAPfggunANriD1rjFRrjA4f0f/zHf4yYE8uJvmuvvXb8IVGOFmu78q0vuOagh7VRmcW7C+fbxcCAL7PsxEe8xrec4GQ4OezBFb3qmpz/n//5n3HS09q3RtVJt8KzBfkFecq4Py5gPNaHgA7WCXvZGDk+OYe///3vjz9wk46et9xyy4jVAdYjiC7uk6ellzcKrp9FgUWBnRRYzs6dZDl+iQnINhkJSDFBnDJqw6NcQRlKzUbWK2iEtifsXmPoqRUcNqwJdY5PAh3eFOLxo+oa0aLAosCiwKLAYVOAzqF/Zj3lmj6hyxgDnfBzyoQeorvoIIaWe8aXEyd0FgOMAU8/5VDpdERtNIYZd2krfooC6E+/i9Fuph+aesjJkPNZASds/Sv7FfuvvP7UT/3UcJR0Ik9Z/BA8QMUj18A1/mdgS6us/cdBoHx19A/As+DwKID+Mw9ak+iekyMeaFU+5yS+O7HktegPf/jDY21Kt45P7b/mib/2itZnYJ4J5li85TRfcHgUaP2iMxnKkY3Wd9555/jXda8pW8Pvete79t7ylrcMXuKpNCfVOGrMB3ikNx+6Dn/y3P1ak4fHv8PEhC/WXzwkQ61PPLNW8dkpbTryp3/6p4ezzgMLutYpfvrXa9fkAFzmkbLNBXHzQTzLicMcx+WAC+2sp8ZP/gn0o4c9X//618cn4ehBdPUHT+9973uf7Lr6QvRCu/DBKY/MbF09WXFdLAosCvwfCixn5/8hyfFMSNkQkICQTIi6n6+VJUwFyogwTaD6F9XXv/71Q/F99rOfHYrwpptuGsYKRcdI0QaFyeCES90FiwKLAosCiwKLAmdDATqDAdAGn35qY58BxTifdRV9xSDznU4f93eCzAO3n/iJnxhGQh/8n3UdXSUwItKJYvrrOBtiZ8ODuQyazXRDa4BG7RGkOUnL8OXo5AzhxER/ryszjj0wBdG6vUGxvJwu8AmMQW1rZ9sPvFNG/eZH/SyGc8HhUyDewIzWeCBE9/LbA0q3Pp1gckJwPuXklVhONg7xU098367To3DCBc+Ci0cB68centOKQ8b3GK2vq6++evAEb5KJ+KF8PMKbQj1sHrh3LeDlgsuXAniEr61ZfAbmQesvHvoDQDL9scceG2/5/ed//uc4re30tv94mHWqus0H1/Bt54P02tOHyl++1Dq4Z/o+7196vZ997GHPJz7xiUEzjmSvrltjaBaNxQI8Ba0lX8Xyo9OWVtWPVwf3dOUsCpwMCixn5wngM8EHEoCuCcldoMys2Cqb0PS9LcakJ1P33XffeMp34403jk2QVxkIXfVtinrdfSuId7W70hYFFgUWBRYFFgVQgL4R6JKcXe7pErrLdacc3NM3DCX5P/7jPz6MsLvvvns4O6V7jdqpsXSROF2XvnMvXYAvw35xZPfD0HiUwYV+jDrBiS+GHIPPPsBDUieCOEeAOkIQLvfxQRrAj3g8EqYf6copU/mypS24eBTAJzxGd3yIB9FdvrVr/ZkHyjnZxOHtzzesX44S/+TsBDZHgLniG57NDQ8drE/twLXg4lAg/uGdvT2e4I09PafWzTffPOIcOHgSP1t30nYBnHPYVWalXT4UiFfWrzDrR72M3/Sptyp8zkwdp/g96HLS071ylVUvfF2Lt0AmVFd8lMH+wfg9cBXIMvf0o1PT8ulJb56woZ/znOcMWhtz60t5dEC76OI6upa/pVV8k77NO8o0XX1fFDhfCixn5/lS7gjVS0iKbRgJQtAGJ8EpzbV0ZRKq7m1YBc7OG264YVzbCHnFxZMqm1EbWZuh2nMNlrAdZFg/iwKLAosCiwLnSAF6iA5Jb7lmKHCOOAXIqelUCT3lH2GdLPF9OUa7E4b01Pe+971RX3nGO6dbhgLDgv5ijOSUgVs7S3c9tSfY0gP98AHdAUP10UcfHQavT9yAK/ZfX0dvzman+uwhlMuAVl/wfU+Gn9O4vhOIF3iAd4K23OOPPAAHXE6hweGkoFcoGeGuOzmoDIi/42b9nDcF8DDHI5riTaH1gjcAv5ojzR/zgGEf7/HVt+s4TXwnUjmvqnOOc4xqo3bkaduc0+aCC6MAPlk/AtlIjt51111jDZ7aP2ErOHVGnuI7JyhexFPXwSyfmwflbe9LX/HlSwE8s8bwGO/xlyxt7Xmo6PS+cr6/S3abH9ay08HWdQ8uzJfmgDlnrsFTG6gQfm1mO16+1DlzzxpLD4O81u+PiNjK9iX0IScn/Wi/Qs6pE43QwHX3tbaVedt85eABu/JGxvpZFDiBFFjOzhPA9IQmIShQNgVKaBagXVfWvUA52WR68n7llVcOoU2AU3YMSfmO4dcWsobrBJB4DXFRYFFgUWBR4CJQoE07g8t1RhJd5P6OO+4YhhYnl9elBUYEPcWpyQg7vf+vseozyhhvgrr0H11It7mm99J5F2EoRxIlOqGJGHQvLV5IR8NvfvObw+D1ENTDTyf4XvjCFw4+oK19Aj4wmsV4CAdHFx5997vf3bv99tvHN9/sL5yCkQcYz0JOTPW1qYy2vB596gkHjZOk9Y8jJ54edSN6EOIS/6A7BzRatgbnLuGzMmiOX82bylhn1iq+mwfWKOc4PnEEwO2VacDhqaw6ledA0LawxV0bKz47CpB91lff1uWoeuSRR8ae/q1vfeveLbfcMhwx1qI1ba35PFUPi/A4WyFeiLs+u16sUpcTBfATxMecneZKh1qsRQ8klCWDOTk7ze9h1Te+8Y1x6tNcIZuTv3BWR2xdz0AepIfn9KN2bWzkmBOdHu5YPw888MDexz/+8SHPbr311iHjfBKOrLT+7E18ageN0CuASwBzevlzvC271uFMnXV9kinwdElzkilxwsZOcQFKawuzgJyvCVKCWV2bHd9roZg8rSKEnaoJ74xTHaDMjG8us64XBRYFFgUWBRYFUKBNu5iOolc4ykB6RDr947U5D918G5KTi4OFzvGKHeOJE8Uf5jAmGGsccBxmHDUcJumnpZsGec/qJx4ojEcAbTlDBIaePQJjlwGHJ/ilLF7iWwEuIB2vGM5AOkcMZ7V6eMVwznmJbzk7GZTw+eYgPOo2P3K4uV9w4RRAW7QWozXAH+snGss7aD01B/DPOuSk9nDCqVxrWXAiW338Bp3wHDf7PwfhLn/FZ0cB/LPGfGvXOnOy00ls68mpPGs4Gcnp1f1h0N88CA4DX7hWfP4UMB/IVLE5gC+tc2kCvgnWuvVpDXPm0adkLRlM35IR9IB4htb/nNY1nGeSHZW73OPmsz2LfYeHCPYo3oy0rk7tP5SjF40VRGu0V9eaA9G6WFq4iys3x3Oe9AWLAiedAk+XQiedGidg/AlNRiCBuFVECd9dpFCe8KbAvMLw7ne/e8+fFH3sYx8br7n84i/+4qhmE0sppiTVUbfTNLtwr7RFgUWBRYFFgUUBFKA/0lE2/u45QaTRK4wszhH67Fvf+tYgmn8KdlKCsUXn+HdTr0er89BDD42TSQx7xhkd5lVaDlI44KejzqT/TjJn0EYI8AStBE5OgbPE64uMO3Rm1D3vec/bu+6664Yxx5DN+FU/gy6ccDg99uCDD44TfRzXjGan/vDQvoKzhcFo3+JeurY4w/Ca0c1xJt8cYXyrs+DwKIC21pA1wzjHA0F6Jz1zeu5qFd+ceBJzrDnF6QQnJ/ltt92294UvfGG8Rm0N/8Iv/MI4qW0e9S/s8zzchX+lnT0FrLmHH354vGLru6kcMr/+678+ZKPDC9aVNesBgwcXHNPu8TtZuZUNZ9O6uZMtoj5ci69nQ7mLW6aHR/jLXrOOBbwyB6zJHHPyyVtr17xxopMOIK/9n4M3/RyIwVtyofliBNa+OTAD/pPXx2EuoJcx0oVf/OIX9z73uc+NNWVPYl3Zq8hPTho32jsdS44KAL2VC6Sjj3ropR2gjGt5x4F+jXfFiwKHRYHl7DwsSh4RPIQlJZNAFJ8NKMc4ScgSru574m7T5OPUgBEqj8IE1XmmzUyCWzwL8oHkiZ+z7e9cZ10vCiwKLAosChwdCpD/9AY9w4lFJzCy0g2MAMY5pwlDgTGVo0XdDAQGGefXTTfd9OS/hHOOeVUTXsApxoE266d00ZwGZzqNHirMZeBTV1l6NuNE+lEGYzFOPAGzocq5TPd7w4PDitHGUcnQRVc8iCZoBk96HB/dZ9RJxw/lGdAcLBxryqAlXOYB0I5+4K854Dto2ssYVwfgmaA8vOYJXED9nDmcovDM9dQx5vYw6sivjPtwRyNj0M/GqM3ati8qXd2jDGjQfDAmYabLQWNTBh0Aulgr7vHa9yHRy4MNjm4nPM0pTgOfp8A737qDQzlQm+7xAD9qozzp2gKXIw/0bwb9FoxJrO/NL/dojfbSkjWuzWtBGRBNXFdeOY4rziny06lOwGmFvh4CeVBhDoPWSrwu1ge4gOtzgfq3jc8Fxyp7+BTAW/IXX+NNrcib55Z0ZawndqB1SRdYs/QBx7jXs80pcjkwV8ytLa7yW9fdi+e01oT0bR+lgbn8QWUeL/mULmsuKy80v+kHoL9oIH2LU3vWVDKGPnOa88tf/vJYY6f2T3KSbWLrC8ChzXk8aF/70muvMrVd+2J50iszkK+fRYFFgadRYDk7n0aO431DMFJMhGKQ0Oz+oJjQFdSFw7XNqUAJcHYydhgaFJ8yNmHAtXbO1Ba8BXVSAq7rrzYXLAosCiwKLAocbwrYvAscF5wddAyDSRrgCHGikxMkXcRRBegLuicnij/XUFd5DlKhE4gcaV53F2bY6io49YUxB+i0wq6yOe/k1ecZ/1G6povRMp7oO1qkj9GEw4T+56QyZidm0Z0DkmGLHmiojqCMe4Yk3MXawBMxvBwwHC94yxmpjgCfoJzTRfVNezks44vYGOxRGKPwB+ppn9MH/urI1w6Hq/7DqSzA9xnMTXjRpDLFysFpfPLtl+a8Gc9Ruzau+IlWM+3ONBbl0BBP0AXt0AVfXvKSlwxngDVqvTp1yHlibpkPHAXmBIjec7twcTrgycwnPJZeny9HHjS3jU3/Gtd2vjc2tEeD5p71wFkyz2M45MOnfLjRwh+mWK+cnmh1xf5DAydoxdbU7Oxszaqvfff6lVwYiM/hR7+Ec5k354B+FT1PCuCrdYgvrRHXAN/jW+jdmzvmHGcn4Oh0upNO5ezk9JwBXvN0nuPl11b3xc0TMgN071oftiBfWXm72pnLK6e8uRxedGj8PWzVZ3pA2AIcytEX8sk1sutf//Vf96666qrxoObaa68da4t9HKhX0NecnfLdozmoX+Nm/2ces+v5vjIrXhRYFHiKAsvZ+RQtTsTV+QrGhGkxgU4hMES8rkC4e4rlvidXNl/K2zRVbxeRCXIh6H5Ok7e9r/yKFwUWBRYFFgWODwWS9fQGXcPwYLTb/Lt37U8QOD39AQ4HCAM945vOYUQAD+B8dgVwenIQ+DadE5533nnn+Ian8owyRhugz7QNBz3HoNMHsb5JE6fjMqgyCOWDM+m9UeAI/BhD44sv0QEtOZw5p/xRoXJo6NVk30b15zIAPdAS39BMfQG91MHT+JyzSlk88dofPK7xV5sclwK8jGr9cs+QdC9WFg5Gp++ANg5zgFGJxwxUr16aR4x17XhdWn1zIsdrc0E7HEQ/+MEPBm5zCB59Mg71jMnbLeoK6CHNeI/DfJinbOMpnvMOulYWPdBSQDe0lmatolcOAI4T80Ewx3Im4BXHNrpLU1e9cItbm3BrA/2bg+aG9HPp90HjOYx0/UEL/dOn+lVsnhujcbgWg+7rg/vGaPzAXAfSOy3Lefzoo48OGlkvTmK3ZtFVHf2pX65rt/5JE+rjaOQcfy6k7jk2tYqfJQXia8Xjd3Nu5pk0a9acObV/alFsXn37298ejk6OdA8yyFzyOxloLgfzHIIP/m0f3M9Qn+Y015WbcZr37sXBXF9e9UpXllyRXp+LW1etR3UAXSPcf//94+Ef2WXfccX+wwMOT/Txnc5AG+GCw9itsV1QG7vyVtqiwKLAM1PgKYnzzGVXiUWBQQEKIOHLMHjRi16099hjj+197Wtfe3LjL5/gB15jqPxI2PEjP4Uje3tf2o6qK2lRYFFgUWBR4BhRgCHA0KYHODE5NTiZGBycYu45PxgUb3/728cr0/I4rxjqHBmcX8rBw5CgqwQGhodyvuN51113PXmq75prrhmGGzLCA+gw+osRAr84XSbPaTP4tSevfPeznhzIjujPLgM0hzMa4AvnsT0A5x5HH/pyouRoQRd4nKBUh2MKPRnK6MkglgbgY0jKh4sThqHstKh5ga54KMDJQYkHnI7q6QP64z0++maaVwrNI23oO9xODDp5xGHJCZQT1Akcr+Brz94GwKs9bfuu6L/8y7+M76v5HII+mSMcnb5BCbdrDjk4Tu0buR4AK6O/Jx3wGx3iA3rMdEFP9EM7a5KDgEMar/AT3175ylcOflnjTpGZR8rjEx7jvfkAWpvoL53j1HzBp9byKHiJfswp/Wluo4W0GdDKOIA+12/jtbaAOnAI1pnv/xkjuoTfCex7771377vf/e6gqfXpEx9XXnnlWGs5pOBTZw7xq7bFta38gqNPAXPHmhJbRzOvjW47L81Vc4hsJfvISPJYObqRTqAHcqCT53Cqp43wSWs+NY/FtV/b6lX2IGpXT9n0v3nsOgiPuDk8pylr/WiLXmjtwcMJKiZPWn/103rzfU628Itf/OK9N77xjUMPcHqipzFrpzGil/bhCUd9XPGiwKLA4VFgOTsPj5bHGhPhLIBZKNuUMmwoACcobLK8dmjzCRLsKaCRuOMn3HOWdkqf25zLrOtFgUWBRYFFgeNJAXKfMUAPiDnKck5JY1wwRhhb8qSpk+5wXxqDRTrDS1mGFyODweHkH4eXMnRXeisDCI6MM9f6Ik9g+JTnujri4wLoZozo5prjwz2HEp3PEcVJyaBj7OIHB2ZGYnQIhxjABfABL9FMXnSMd7WvrGvlCnhRn+AQpOGr/nJO/vCHPxx95Qitvj7bqwid0JTHucaQFdTXDpwcbcbIuWa+GLdTrfrKsM+JZizokCGrTU4kuJtbxnGSAS0APm0Bvc0ve0sPJ1ybB+Za/OS040iRB0dzwNxprcJbO9LwSShd2uUC+rINc9+Mo7HM6a6lV7d7NIwmnFdox3ljLZj35qs5KnBGkaGurVd1AVoWDqKV9IP6NZCsnyNFAfyM59uOx2f5wDyRZp6ZN9ar+uR+a3aWr9Yy3TBDcn5Oc62N5pY2arty5XVfLF1oDs9167eyc3r3xbUFB1zkurrGWD0xh6hAJtENZFKOUDLfPoOT0z4DbeiQcDc++IG26vNIWD+LAosCh0qB5ew8VHIeX2Q2TIS6jbwNOyFN0BPmp/ZPLtgs+Wd2RsAdd9yx94IXvGC8xkbQqwtSFlEpQV9cenGKxf1BZSq74kWBRYFFgUWB40GBHBjkPsPAPaP8m9/85jg54VSnPyyhi5woYUxwLgFlQfrDPb0V0Fde26Sz4OSweuCBB8ZJUQa/7wY6kaFtOHKacRDQeYySHKUMu4wdsbLpSAbfcQIOE05B9PSAk4F3+vTpcYoF/Rh7/j3bngANncic9TZaZhzmdIo+9gY5X5wUwnP05pzxyjhHtFjbjEb17SvQ2glKMUMaXwAe5Yh1+lL/8FwbnD7yGN8cmkC6/muHwer1S2PweQQ8Nib/MPypT31qnIhrXnpVnzEscH56lV/fjVW/0MArw/LMN6/ka2vBwRTAY7wU8Awv8dCJRDzCS/tMp2v9q/Gv/MqvPOkoMCetZ/OJg7l1b66oA6STG5cTmE/zWnmmvlXWPAPkjjlm7ZjT5ppgXvrch3XkX+6tX2U49F/xileMuW2vbo5vAc3gRX882YI1mE0Qnbdl1v3RogDZhad4a441v8SCeWBeyDOP8L1wal+vAjLOyWF4vM5OXpOpHIDmXXNJG+Sw+nSleaYNfTDvtKGsdGXqg3gLrYdtuvrhkKcc/NLgDHf1ypdHP9BBTmm6J+vJDnsN4IQ5eWRP4hNu3h7wUO13f/d39/7gD/5gODvtTbaQ7tJW7aORa1AfjLO0LY51vyiwKHBuFHjKAji3eqv0CaMAAU0BpWgIZGmA4rCBZxDYaDGAGB02qoCBo5461R8ZB/xUds6WdjZ15zrrelFgUWBRYFHg6FKAzsjgZhAx3hnujHb/bkrP0At0DKCLQLpmNnToqxxRjIucKerDqR3Gl1fjnX5SF/4MDuVcdz8a2v9xPxtjc5uVOQ6x8c9jQy8OJLSKR4xBgSEM1AnwRH20F7uPbwxjvEFLewmxPI4rzkK8V0fgyMLLDOUcOIxT6fALeDJf1w9GN2eX/Qr+qsOA12ZjZJw7xWku6Bfc9dFY5esHPHDoMzxe59cvfTY+eAX7Ig4l/T/pgC5oKcYfdD8IysMzDnb3XmnnhHBqjHOak8F8c5IKD/AF780fbeApHkpvPjbXDmr32U5vnPV32770Oc81aDzujde4ZiAv7cetkV5r53DqMxPmLR7sAn1qzYnd157y2tSeMPdtF66VdjQogL9bPtdzeVv+lzfH5CHZSn6S3+ShuWfNJp+VPwifdPPNnNKX+jO3XXvKzFCZ0ruHY4sz3HP95rOY3CanODfJE+X133jkO+HPucnh6UGDddWDMTQ40wMVuPQRXv2qn/oiXTvSCnMf1/WiwKLAuVNgOTvPnWYnsoYNPmUFbDwJe2kpAQbO9ddfP4yDT37ykyPP95YA5UBo22wm5KWnkFwHykkXL1gUWBRYFFgUOLkUYMA7rUXPcHjRQU5ScLD95m/+5vgWIn3B2GC40zHuhYx4OgcwXugijid5DH5OEvfwOS3q1Vh1nRpluDBatJ0jAa6tAcJYgUM9IL82R8Ix+TGmdLghcaRwNHGmcP6hg9MvTrPgxRbQBb2Vgwfgp30EXGgs3WlbPMcrJyxdo62y+GYeKKsO3mgPr7TtVBEcOTT1g1PbvXTl4YfHfkXd9jK+4SqPA818cnLHP4JrhyNNP9XTtjErKx2e6667bry6L52D9K/+6q/GnGLkCwzhU/snn/T9pANDHn3F+JZj/Ex0QT/fwOM8sdd0korT04lPPJX/qle9ajgYfELBfLHe8dZ8M3e1ZQ5KM7c4I9xfDlAf9VufhK71z7V+i+f0yuaEMT/nMZm7vlnLaWM++xatPxT1jU7fkbUmDpqT+gQX+ta/aKUP2rQWjqOsa5wnLU7Gz3MsGsgzH/C8ebirnG/EWqt0A51Kfpt7Hk6YwzOEE54ZzDlQfnO6eC7b9TPlWRtBZYul61tzmuwgt7XvdL/+KEvPGYf19OCDD46T/B5scex6q8EfEfUQVl341HMduA6fNPlzP9CCfGrNiRcsCiwKXBgFlrPzwuh34mrPSonQThDbSPqYv3/ioww89RLiIAjAAABAAElEQVQYBCBhX/3igwiY8K/cViEcVG+lLwosCiwKLAocDwrQG4LNP8cTA4oucNKOg4N+YYDs0g/pHMYZ44ThIY3OKtBbHF4ezDFAOMWU8coyR6d2vQ4qnUNTPfnaYxzBCzgNpAX0ljCnlXdUY2PnmDJuJ8WcYqTvGbIcR07APP/5zx/OKPTIsI0Pxp2RBxfAG05EIVpyvjA2lUV/hiTecdzAqy1lOT+jL4Maf5wokh4ubRfwQ7un9p2OHGIvfelLx9sn4dKm8TFyndYxLq9jwltftWO+6a++aUuQZvzmjHbMJ/2WdsX+v/Hm1Ku/A+EJ/sGTM60Pec0fZMJzvEFHNDVv8IVj2cMPvDJvvE3EiacM0A6ai+WLc4KOApfwxxgF0HroXprxd9+1sRQqI5ZmfNaJ/Xcnrq1R8xPtzEnOmP4ZGi2BOugZreAC1p/29U3eDMpIK8x56/roUgA/OQXxvXlgNK6F5kP8l1dZc1R9DxFf+MIXjvlrjZKV5qM16kGSh0/kr7Lpg21brYfa1c4MrQdtg8q7VodMN6eNZVcb6guNIzy1V9/ExiDdOMh0Tk6xz0NYa2TN8573vPHZE5+E8IBNee2nx1pD4a+/7meoH3Paul4UWBS4cAosZ+eF0/BEYCCcUxwGnAKhDAAjxBM9T96ddqBIbLQYiqf2jYuMwVmYd70V+PP9fD0aWj+LAosCiwKLAieCAvQMY4JTwxsDjCXOIwYVHeOEmHx6yD2DRJ30kjTGPkcZo4UhIh9IZ6xIcxKF/mKc+EbXpz/96eHg5OzyEE++duixcDNmtK8NTi55Ad0mKHtcdFh05eRzmsWpS87nTi5yNPWNS2PPORm90Ma1vGgiFtCQgZqRqqz2OJnRtnocOviATxyP6nHk4GEndzhv4NGOcuZEuOHBZ05R84iz3DzgvHVi0Njgkcag5fR0Co6BDi+D3R5HH/SbEe8bkr4naq/DCW+v5Huf+sShBK+5wSFqPBm6xngSwfjRAX9aizMdpKO14BqP23viNZ45TWtN3nnnnXuf+cxnxjrEF84G4JQvHsFvnTbP5DVPpF1qMD7BvKyPpYnNW+OXV5mZZtFJmn13js677rprPLCxBs3z3rwy781LzmN4taEMiMa1g0/yD6KT/BzIB5W51PRd7Z8bBfAxvu+qKd9cMy+aJ64F60xMVnrgQGeT3elJ9177JiNnZ6d2tvPHPVzbdGWlm7vmfvf1pXsy37w21+f1Ul19EtQz77Xj2thLI2uUh0tb8NALd+z/J8Xp/RP8dIvvMt900017t95665P7A+X1D37r1xoh/9WHPzjTGPVpHlN1VrwosChwfhRYzs7zo9uJq0VIE8CzsHadMhLbwFJ0DFGCnXLj8Dy17+wkuAHlcbYQ7rMtv8otCiwKLAosChwPCtAVdADdwYBwgkua04Nex6R/GCEZBhkZRp/uUF4Zhoc0ZYF0afI4QektjiltcWhxYjJUOPI4sTjxOBPgyGgJd06D8G7j+iL9KINxoLlx0+0cz5x96MiodUJWjJ7ohx9oNYO6oBi9w4kXaM6IBNLxhHEMj8BwlKYcZ6c6+sUwlS6GM96EU3n9lM7QZqTipz0LvPLMAQ7J7nOGNw64C8oD8wNun0Ewds5S4/fHRPqjLen6qC8LHl+brcPo0XyY10o8tL7MBXnqCZx1+MzpjoccG/aazUN03zri0F8d4XIBY5zHN/dLXjQwfoAGWxqpb0zS0cHr/ZxK3/nOdwbdOIbNd3LTHA/M29qXNssx93Nbys3tyo+O23R5C44uBWa+G8WW91u+K6+MQC6Sf3SmtUgGcsCToR4o+Ta2uewkJAjXuNn8nGleact8BbU9V5dnvcuboXry9FX7yaLtuPVTGf2nC9T18IveE4xR4Ni9Yv+BQv2gv2pfLNQP8dxO6XMfXevXmWizLb/uFwUWBc5MgafvRM9cduWeYApQYDaYCX9Pqmz8AxunTnX+8R//8d6XvvSlvY997GN7d99993htxuZT/RRYcfWLS58VQnkrXhRYFFgUWBQ4/hRgHOWgYmhwQDLeOTmdpPCNREbIbCy4nu8Z/gwNeor+4sQCjBF6zL0TTzkSOEfoHSc5f+u3fms4DZyQ4lDhWPPPsl4BdWLMNz2Vd8qsNhlQnF1AXu2NhGPyY6wcfE63cKg4/ei02Mtf/vInPwUQHcTzHkFdvMRbDipGJucLmuOHfDz1j+YcnOq++tWv3nvTm940aI6H6KounmVQRvPawx/7E8a1tuB0DbQncMwqA7TD8ckhBC8Dtn7jOxzmjG9CMtIffvjhvb/+678evEYD/fGAl3H61a9+dZT/wAc+ME4VcZI75fme97xn0Kn9zWh4/Qwe4qO1iv/oPp+CQntzA2/xIOdEjgD/KG69WqN///d/P5zv73//+wefXvva1471yRkBt3kCN17H30vJAn2aHSH1pTnSWM1J4SB5Aof57RQ6Zww56WGDU67W0ete97oxXvvvAD2tC8AhhS76U9uVk6asEM31peviyq/4aFMAvwvNzeZFfN/OESOWVrp6rq0z31A2H81Pp9/pdOuR3iSn6d+cjWdLufqnfNfiQNvWN7zbNZMc0Q/93FUGHuXoOeGee+4Zb3t4fd2aefe737331re+dexDOHSVMTZjogu0qQ90FZq5nteJvram0nvaVE+/z0Rn5RYsCiwKnDsFlrPz3Gl2ImsQ2AJBTUmkCKWBBDiBTclRZPJsUCkD6TZUlMusmHYRM5y78lbaosCiwKLAosDxpkB6hoPCQzROJ8Y6vcKgyJlIDzEcgnRHOkYsjQEBlE1/SSu9NGXpKt8Ddc2AkcfpwrHnJKM+cfBxvjFi4FBGW/Wl9uvXcYgZZozETjyiA1r1ujanSUadeBcNpEUrNIlf1ZOvHWVAzk24teNeXHll9APd9U1/7DHCK7/r2oZ/NjKVCZ8yyrvHV/jcw+8azzlLzQ/t2t8wUDlItcuoh9ueR3+Ude3EKLpt+67tkwpoXWhOuA/QPV6UJo5HrtEcjTutC491ijdOH+OFfLwLrGV47UfFlwoa30HtN84tDaRHL+PkKOaEcWrO2I3PPDUvOeHJzGSUes11MVzdPxMtlF1wMijwTHPhICpUT2x9WZf0Nd1NHpqnAlko33wMmu/i9Cg85md4lXU93ytfKP2gOT2Xm/FKB/ojWENkOdktJr/1SZ85ONm4ZL6xKUvOqKeMPsBdqE+jgSd+aq94znO9q862zLpfFFgUOHsKPLUDOPs6q+QJpgBhboNFGM9PipEkZUDBeaLMIGQcOu0gzYkcCoJiCGah7rpQ/ooXBRYFFgUWBU4WBRhGHElOKt17773j2mlO30+kSwAjnoHB2Kc3OMI4PzI6lGFwMPTF9BbDJINHuvL0kbY4CpyIgsc/Fvu2Iz3mxJTThr5P6QSZdjnfOBLoMwYQgFcbAF7hOAGHMwcSGqAFuqGPU65e20YvNMULRiB6nC0N1MEj8QxzOtzxci7DqQPMGeWVAZW3T+H84fBSxmu+/jzRN0bbwygrD//NH3MgJyb+mjcC45fzzElN47PnYbirizb+2Mo44DV2ZeB0KpjT3glYc2fB4+vFHEJDAa2EGfAMb0rH3+01fnE+vOMd7xivsj/22GPjz8xuu+22geoNb3jD4LVvfKI9p6D17ruerd25zWfr2liMz3hcB+6NSTCXlBEH8s0589GcM5+tR98Z9nAGLfxBjFPI5JP5is7mrvFam3CSY3C1XsK/jfUtuisvLDieFJjn4fa6eXDQyFur1TMPnbq21shA69JJePOHXhd7aATmOUUWmKvSzFdylDwOr/LNWWWBstaLMtZKYWROP6Wr7zo86sFhXXFsek39/vvvH9dObSrnZD+d7+0OckS/1LO+yPv67YFWcmXu89SNJ/tZ+/L0Z8GiwKLAxaHAcnZeHLoeW6wpiF2COcUkz+sJNpc2YY7/Uw5eaZAOKJYUjLhwbAm3BrYosCiwKLAocFYUYJxzHDLmPSxjmN94443DgM9ZlDOJEw4wiBgPjI6t4VOj9A6go5RhiCmvPYHTipOLAcMpwHkAp3RlvU7PcPMqM+eV16E5/DjT9Afe2tBOes71UQd0ZrCe3v9zBsYqnnAYchrl+G3sGXvGPNMAfWbnDdrT/fELDRmLyqjnW5jaww/GM7wMy/gHfwYjHOrLl4af8LufnZ0cndr0ijl8ynGY++aj/YqTPHCZB4xx8wCYi9/61rcGTjyHVwy0Y26YE+pzqJkz2oHbOIC0Bf+XAvEQvUDzCJ8DaQLeVL5y+GseWq8esuPH/PkJa5bcwE88Ck+4L1VsvI1ZH4ytoI/GGQ3cGxe5aD5Zj5zoHEjmm3lmPpvXHkB4MORePY5R+ck4bVorgTJbqF9ifVBG3+pH5cvvfsVHmwIz313jt7h0o5MmgPKap+aoeWJNXrH/LUty0XwVc8zT02L5ycNkJblvjnJ2wqMMOZxurS3tWhv1QazNOV+ZGSqrn+q2tqRbHxyd+sjRSRdYW/qgHD3HyekzOj0skA6sMf3jJNV3+IToVbtzX1pPxhvM5atfWmVWvCiwKHB+FHhqpZ1f/VXrhFGAUGfkJOgpGEB4S3fvhAyF4HtKTuG8733vGwYMYxEQ4LsUQAJ+FFo/iwKLAosCiwInkgKMDAYIJwXHGqcSg4NTjfEDMizok9ko6J6OKp1uobvSW9IZN3QVY4UBxhmSY8urdnSatjg01fX62iOPPDKcDQ899NBwwsnzxx/XXHPNKJsOVFf/xPXhqDMyJ0uOFrTy8JIDiVHKcMMz40Uvsf0A2mfUoTUedA8nOrU3wAdOTfXNAf/47ptpaM+Jg55wzHU4R8OpnD7pmzL6ozzHpH4wqjlsOYo4x/RRGca1P8DCX/nmnVNxOTv1xwmfL3zhC+M1zMaO7xxLvkOnbXPK2ywcbWL4tVkf9H/B4xRonsQ7qc0L1/gFlNuCvDndPENbfMK3l770pWMecDz7fryT2RyC+OTEo++zKnu5gTkrNPaZHsZrrpJZHO9icogD3sOAW/f/EZp85JCxBpQF5h485FtyVRvWxJaGyksTZtmFR/okVhce9+iOjtqYccGz4GhTYCur4i++C80Bc2KeK+aEPGn0p3nnIYT5Zk6S9QK5qJzgWvnWpHxla5OMd909ynYvbi7CAR/QD/O+OvV7ZO7/VN89PeQhmO+L/vu///uQ3drX/6uvvnrIjf7UzlxvzOEUS9d/1+pqW3CvL4F2W0/1rTx9V15sLHP/K7PiRYFFgXOnwHJ2njvNTnQNQjrDgVAuENoMHkqKoUg5nTp1agh5m34bMxtPSs1mKSWAmHBshb60YJtX+ooXBRYFFgWSFUtOXD5zYcuTNvt4dDZ8cgqJznAKq+9lObHF4IALfgaBa0ZBAQVqg65yrYywNRw4vASOK042eo3BQodp27U6HAcccPKV16c777xzGDZOgcDNEUvnqQNyCOjX5QrxSP/Ohif4wPHs9AsaoQ1+cLCgIUMP3+ByPdM+41A6mmTsoRPDUAzQzwPSjF2OR4YoRyKHJFBffm1x9MDHMNUX+Dgp4cIbbbrWhv0Hp5c9is8T1A7nJkNX4MxVzpwwPg5sOJxGko8G+oDnaMiYd62PXuVXzxjQK9C+9Mt5PtTXZys2P4SDaIK28oP5Wt6u+WuNCnjCmW19cnbae3JWW7v4JOCPOaN9of7UXnHtzO2XJy5/TtuW3ZbZ5lfXfM1ZI829vqlvrloD5i/HjHnKqe4UmvV37bXXDkdvczAZBI/1gS7WhnHLM/YAfm2BLT/qa7GyyV514F5w/CgQv7cjw//mi1i5yorNDfOLzDPnyEIPBclR5c1j6zAZaf6Q8aD5aY7Do7x88Qxze67lF5QzL92Lyy/NfUEb1oO1dHr/DQIPRegFet5+Q5+dkL5i/4SqazbuDHOb6Txjgbd1VBkxKL0+hK/+Fkt3rdyCRYFFgQujwHJ2Xhj9TkztBLUBUxogQUx4J5ApJsYHhcbJySDy7+yUx0c+8pFxSuP1r3/9OAlD4VFunsQrR0HAnZILvzxhwaLAosCiQBRo88ox4fpC5cR281k7Kz43CuAFRxTZngOQMeHUG4OBvAfku6A82tMdZD/wCtntt98+jKD3vve9o0716BvltKGuNvA+I6J4INr/ST+lo0rnEGHwa1eoHqOFM4TBxlnCSaUNTgR1OMrkMcjkf/nLXx76Tv9e85rXjDLwMfbOF+A3Rn3Sn4sBjDw0ZMAZH16A6IS2+gGMhWPl85///Bgz49WJRt+g9H1AOHbROVwDyf4PfAL64BknjTL2B+YLHPpi/2C+yFPe/HGarTkTPvmCdEamU22+7eo0DiNVHvlgrM01MZ7+wz/8w2hXezmC9MkpJOAE4Mte9rJhlBufU5y+C+lV96985SsD5yc+8Ym9f/u3fxvzE040wzf9NTYnkuFxopDT/GLxMnoclxjfmk/zmKSbO+iMr8q4D/AWKGfO4uXv/M7vPPldSyeFnc71Pc/rr79+rPO+N2ttCwE+mntiAT5tCfAH5q25p+36Y04FcOQA0W/1zSdzbQvmUHMEPriNkxOG49+e+fS+U4bT0/XNN9+89/u///tjz83Bry4c+hGeuQ1tksFgppv7mXbu5zG6D+CFR3llCuWv+HhTwNzC++bXlv9krYdH5hn9Sld4WEh/eFBE53z2s58d33kmJ+lNONQhS815tqM3Jnxv13c/5Wt3Bn2gJ6wvc96c3JajQ+Crj62P5IdPQLBLrU99I7M9JPHw6oYbbhj91z/j2LVe4bWOWgv6R07M9/q97fs8jq7D5b61KW3BosCiwIVT4P9q2wvHuTAcQwoQugR4oSFKnwW5e0qhTRqhzQDxZP2OO+4YGzeGDaCkbOTgDCghoXZqt/wVLwosCiwKzBQgLxijbRDnvHV9aSiAJ+S7GNAHDApOJZDMn+V86erQEU4QMk68vsxwYkQE6s183/Ke3phhey+PnqrenE+fZbDQTxl1+i6d4cMA4nDQB85PjjiGV85DeGecc1/ma+M4qBzcB+XNOM73Ov1r7QBtbfkhXT8AI5YRSpc78cgwRAcOooP62fhm3LUB50x/6WiP3mL36G/u6KNrfalcNJYnHT88aGU04wUcyihvrHMfpZtfDFx1OLfNMU4ohrN845OeI9c4nRyFX5nowentdJ1+5zw3t5Q3Z8RwuNanBWdHgZlfc415LknfVU6agB+nTp0aDnSOD/zmJORk4dDAQzzmiE421ZZ5Y14JzbEt/ypzUD5c1U8eqiPsAn0294Ay8IrJGGtP3z1gIUudPudE4oQ3H6ND8S78+r8dQ+XOVK8y4oPqz2XW9fGmgLly0Hwx3811cxdYV9YhOUumkufmsmt6U1lznl7xGRFy3nwnN3vgNVPTeqht19oD9UlcGTH8QBuC/NYkWc4Jq4w+0e8eVHhIZd9hXZnvtTcQ7fiZ87frY87bUfVpSZUtflrmulkUWBQ4bwosZ+d5k+5kVaQ0CmcaOUGfoUhgpygoGU+eKTJ/OMEodPLCZs2Gk3GbUlRWW4Frxov0XU/XKrfiRYFFgaNJAZtPcsAaJz/EbfjICptRBp6NMpkieA2Kg8GGlIyo/NGkwPHpNT7kIGJAMCjwiqOI/MZLZfCYXMdXPGRkcEY88MADwwBhcDiZxaEWvplKzZEL4ftBdaWbW/ST/tJP5qh5Jn71q189jDPGGkeXwOnlpJ+xXrH/2ptAp6XX5rYYgvCa82jAGGT8KZMT1vVcZx77YVynp40TGCPjEq31xRrTF6/1+Y7Z3XffPcpIc1qRMWis7gG6WKv6DCf+lNc4xO0JRqUnfrSH3+o7mcmRI0QX9EKr8MAvuNcuWnIEOX3r9UP9wqsMZ+Pi1DKX/HGivjO+OY60XcAr+PTR6VD4atP8NU85eo0LTqfttN14M47dmzvqnNp3tpkLW4f9PP51fW4UwFtzIt5Uu/XpHo/k461r89oe9Gd/9meHY8O3LjnI6RSfKDD/8BbPlcVD/DQfhNpSvjnSHNeGtitjHoPuzWPXlYEbHrJRTPbpo3LmXnVP75/i5AT64he/OF7Db236s08n5pyqNmcXLApcLhQgV1s/+kS/kd3kr2/p2hP4PrI1Yl63Jqwpa0CwrqxFDyTaN1jv1gO5a70I1p3YelJfO/SYe3joOE7T9gp0hD3Gfffdt/eNb3xjOFXVs8+45ZZbntRp9IR11fq9XGi7+rEosChwfhRYzs7zo9uqdQAFKAeBkgGUDKCoGCGMQ68SUVheH7K5o5wYJeq00RuVnvixGRRsPFOMc/66XhRYFDjaFLDh5DSwvm1SZ4cI2SGPU8zGWR65oixYG9LLi/f4gT/kNdnuBJ2TU4wOPCPL41+8LZ3ziCFCL3A6CAyanEhGGt/hEA7i/0HpZ0stuBltjDLB3APmJ+eVYHxeMaXPjMvr9+q4N6c5UIw9mtQn4xbUgducNq6CdrR/2KBP6VjjAMV0sDXGUAz0l3Hou4e+V6kupx3dzRBlaM4AhzrGBk9tVab74tIZlpyD6nHkoAnDFS0FeDk/4VYX7vCjmXyn9eA4te9cRHPl5KEx+eFe372m6BV8Bi1nl7llvgnzvsXcy5GEbuavuQgHvGjFcNfnZJZYH/FOOW1wsOmPdhYcDgXQH0/EM7jHj+Zg86V5hB8c3RyIHJxOkImtYw8rcl5zluMbHjZXa89cMt9Kx+v4ri/aNzeA9ue5OhKf+Kmcud7ckCaYs/pmzdkzO33m3nrzSQRrhDN+u/5m/Ot6UeBSUKC1YO7TmWQsJ6N1Q4ZKI2ul+fYsOQ/U49i0Xszr9gzJZGvOOoXPOrf+yGPrzz386dPkgLrwpj88lDy97zD1QNWhG2298pWvHPuMm266abS/Xc+XgoarzUWBRYHDpcBydh4uPY8tNooroEieCZRP6Slvo+hJnU2g0xSMBNeUkI1eG8It3uqqLyxYFFgUOH4UsHHtSbrN5ixv2rBKZwgqK1+cwUiO2EBnNB4/Ch29EZHddEDGSiOQhm+MEzxlsDDknR7kbOgkqJNLHGrmBRx4nj4QqwvmudL9Nm0UPM8f88y80p5rQfvGIM1JFo5Pse85SqfjlDNW4zNWfUrPqeeaM8W8da08yKniuvZcXyikQ/VjF32M0bhaQ64Zj4zL/pSIM5HDiCPQaRj9nsG44DZeYdv/8rftw8MhxcnEGWU9a1tf0Eff7RfUgwNdZ9w5hxjJDGaniNRNLigPh3vtoLs5BWf4lI8P0vQFwM1Ar231PbiVznjHb3n6ox5wXTuzw2xkrp8LpkD0Fu8CPIkv5s8M+GytcnLkUCR3OMvND/U4WpxCwzvrQDsFPDaX3CvrurmuHeXNN9AcVUZ6oK48sq25D68ynPqcmxydZKJ+6U//Iu+NKPf6KmzXYG2seFHgUlDAmqIzrAFzmlPTwwXfx/Qw0D2nozVBXlsD5r21RG9Ko/utj5yb7Q3ZkPSPNUx+twaMEw516Cjttk7h0J6HqDlYrZlXvOIVo+xLXvKSIavVpQ/IC9eCdbpgUWBR4OhTYDk7jz4Pn5URtFFrw/dMjaYsKBWB4nOiwlNsSs8GTrDpFOSrE2hvVjRtKstf8aLAosDxoYC1vzVKG13OMhvcGcgEwSk6zgg4tmXm8uv62aUAGc7gwBOyPJmOT5wDnfCQ7/TgPffcM4wbBolXTX3rmeNLfroBjkIOhe2oZr2xzTvXe201r/TDeOqLa33gXDMPM8wyqDgIObzM38aQA8xcz9ERXfTNNdowBAVtNP/Pte9zeXjDqf/xozRl9dF4tKk8Q5LR6sQbxwvnHkcLQ1Sc0Tm3Q9erix74q+/RS7noN6dJV05g6HJUAnjaP9Rf9YUtKMtJrhwaK4OOjFd4jctY9Qt+p/bE+iGtttRTVrog3bjRQd/gxjeOUPXsZ8Rb0A99j+/b/HV/cSiAXwKe5IDEA/wArgX8M4+tWTx0Ovv0/omvTnaa280T+PDcfIBHbJ5I10ZQnli+WAD1a1vWnGqdyzOH7Y+dPPPZCPNXH9/85jePP1TygIFc1K71Gf7wrnhR4FJTgLOTc5EcNT+d3qQTvbr+8MMPD1nK9iNLrUPlrA9zXT1r99SpU0N+SoOPLCXHvSkRWDecqMqoY815sMiehE/bDtUIDz300N5HP/rRsdb05dZbbx0POzykvOqqq4aMd8I0+S9esCiwKHB8KLCcnceHlxd1JPOmKiNAg9Iplq7HxeZHeYqK4UopUVI2lv557479Py16z3veM06KtCGkvGzmGIQZHpTdUkAbwq7bRYETQAFOE/Igp2byxsaWfGCIMhpdL7j0FCDfyXBOBCffnI4CDBwyPb4xdgKvavpXcyc3fFORAeL0kjL0B4CXvhG2vG5OhG/WV6WdSwxfzj66J10Er34wwFzTa0BfGW5Oixknw46D0D8/f+pTn9p7y1veMvQfWqDJTCPONOOUByc9p23007ZwoeOZx56Dxuu7nCscO5x/6Kwdsf4xCh988MGhq609J2YYh07butZn5dGqetLUNSaBvjcW9Av/PBb56huzdLGygToCiMe1VxmxNtUXXAsMYWMgP6qrrH5JM4c4vpSVX/+K66c+qqNfMx75+D+nwQ/khUc+mosPm5ePt3byfvEMX9AZXeMVmuNJ6fLwrvzmhticxhevhNubcmibMxyN1saHPvShvdtvv33M+b7zap0D9bVF94C5D67Nr8A8E5QP6p90Zb1Sq33fEfRwAVhn1ht56eEP56yxWU/AXFp74kGK9XMZUcC65Di0hvzhEOe9h5nurTlzn84Rm/v2CoHPo/RgQRrHZW8QKM/xD7910PpT3poLOllqbX/uc5/b+/rXvz7a1aYDN9aSU9J0Hn2lTwAe62lep+Fc8aLAosDRpsCyDo82/y5J7ykdMCuYM3VEeUqEMZgS9LTNKzpe2XnnO985qitnE0lJUYBtWqVTQEJtn6m9lbcosChwfChAHtgUc8zY7CZ3clbYsHJalH58Rn40R4IPOZQ49vDH62mcdxkSGRXJc/ylDxgc/nSDM40Dmw4AcDLy0wPhKW8UOuQfRpX5pv8ZQrVnLPquX+ZejkoOCNccFsowtIzr+uuvf/L7o42JLmRoic3lwNjgRZOLAXQsgF8fjRMYT/zQB/Q2Dg4gZfXbaTd6HD2MOxpUXxn4lFdfW+6Vrcy4mH6MVYBLu9FnWx6uuY8TipFuTsEDtIm2+GcvYT7ijZg8EbQlrTrhiwbu5WnXWKJT5arffeXFcz/hUFeMzzP+ue66PnsKxBfxTE88AWJ5Al4D5fDSPX50EphTkfNDujQPXfpOprnodVfOUMEcAzlQ53U7MvZ/4K7N+gdPfatc/eZEJx+tNY5WbftMwqn9022C/jk9Th42Hu3qSzjCueJFgUtNAWuMXjGfv/a1r41PMvgsAzCH6VN6hEylJ5Q3r8liDxNmGWlt9PBLmfSKazpFsK5aB9YefQq34OHBZz/72dEuJ6eTodazh6rJA3rC+qydS02/1f6iwKLA4VPgqR324eNeGI8xBVIuhkjxAEoLlCfumkKiTCgbikXw/RYbO6dgUmq91sCYgrdNpfxwjUbWz6LAosCxoYC1PhuIBpZxSFYw7ATOs4CMsDG2SU42JIsqs+JnnwJ4QBcIeCg4oUGGM0C83u20EqegE030gD+t6083/FEAY59hBOJpxn28bmRwaku6tipX/vnEcJl3nK6u4c8wg0//tWX+5XiQbkzmY392wMnpNb7T+28y+J4nOvje5fOf//y9F73oReNeGoPrBz/4wcCpPXPb+A9L78EZXehUNPUv6/6RGq2dqKF7jUseJ6FXe++8886ho42V7r7iiZOdTskAuNBGP8OvLBpEn9Lh1Y8ZcgzJQ0egXiAf/kCeIA3f4WPwql9Qx7U+4QdaS3PtNA+eZiTDu+1TeKQLjHP19I+Mkl9f57rSuy+GX3p9cr3gcCiAluYB2qL3PG/wpz2kvPihjvmoHsdKOHJ4mCO//Mu/vPfa1752yCVOGnnvf//7xxqhf6xtssocN4+ai0ZVH8yZQD6Hu7bMWWXg8aDf+iMXvGZrzcHpVPs111wzTriTFeSDsRiD9UYOuW5d1c6KFwUuBwpwZPoTLevSSUpgDVhH5qyQ0zKd2vpsblsH5HdytnFZb9LEysBrXXGsOjkqWE90rgcIyjlMQ1/RA7u+Nd26dPpUm9bmtt3aX/GiwKLA0aTAcnYeTb5dFr2moCiKAsUDpNvQpcDqrDTGFCOOUqNUbOKcfGFYeoKdEenexpBxQalRkAsWBRYFji8FbI4BOZJsEVv/bX53jT75I15w6SmQ/M/wxxdyXvCKt5OCgGPh0Ucf3bvtttsGf/1RAKebU1bkP4i3rnfpFPl0hDlTe8XqXAjQOfoIPydDji7jS0+Fv37K4+g49cSpLE4Rr6f+2Z/92XCecGgwvF73uteNk2Ku0cWrdx78mefAyRNODsbahYK+AX0zJrQSfB+Ns7nvmjFQvTKonP7Qy5wxQD/kOWHG6WmM6EGPR5dR8Ikf7eADPrquD3MZ1/WlWNszSLcPAPCUT1aUHo3kxQfl0VX95hNecnQK8g6aJ3CoB58y8Avaq83ZGJ7b1C6on4/fPf57EA3mMuv67CkQjeNV9zC4bi1tMTYfxeYRmcQZaU5zdrz85S8fVTyMsD58S/iuu+7aO73/wEJb5rR1INaO+S/dnBDgFdefZIfY+jenBK/3wu30t3UErMGf+ZmfGc5O8lC55r35A6e29Fu72lFmwaLA5UIBupH+Mk9f8IIXjHXF1vOQky4kQ3ujwBw2pwVz2voAdA2ZO89tZaRZB60JJ7HhoKs8mNCGwzN0Keflu971rr1b97/PSeZzdLaetFW7yXY6zzq0rsmCue3LhbarH4sCiwLnR4Hl7Dw/uq1aEwUojXnD36ZeTGHMSkMaRUOheILtKSAFZbMpve+otIlLIU3NrctFgUWBY0gBaz6ZYXjW/hyPm+lH2Qw/sQ2wsODSUgDfyHcw8wO/OBM48Rj+jJMcDYwhp0A6baUufaBOMOMqTZyOoGe6nvMv9Fof6kf4u4dbP9Nfxq0fHC3mpDltzP7ZmZOQg5GB5tSJ74kxwDjh6EHX6gAGGJxdj4vz+NFPxqC49ZETiGGnH9r0bUuB85Wxqrw8ZTyc5BxkMOKdfBCfo4k0uISZPtLdC/FIGnCPRvo243k896lfecqJgfKNw335tSGWj/an9h3P+i+YZ2h9JmNW//E0vNqq37U/Mqefxid/W2bu2zZvQrEuz4EC8R9fBPQ3zwN0bk6VNsfyky/miLll7YrJpnjmAby1CxcHjWD9ejXWGrUmfEtTsHaakzlttKl/0sUe9Djh5vVaJ6udnnZ/9dVXj3XmlDVcTlnrhz6aj9YcHPqRw4d80Pdk7Ty+db0ocKkoYL5aP2StB030G93mz4nMd+uHY9FcTl+2hnsQKt3c3oL12ZqwbjyMc0LamyH2EtZMa9J3drXf2tMnQbscrsrCRy8oY/1Khw9uexH9WrAosChw9CmwnJ1Hn4eXdASUR5CRY+MpnaIQKJQUjVg+g8M/TFJcv/d7v/ekw9MTQRtMBpZ6Kc7aWPGiwKLA8aMAuWC9Bxmv4k69KAOSITlx5Ctn02oju+DSUoDM50wSgnQDuc5Yd6JT8Cc+nGz+Yfg1r3nN0AcMHXqB4YGveBrvwzfH8tI14osB+jH3ZW7HPOxUCGcgwwkYh3vBq7EMqPvuu2/8MR+j7+Mf//g4+cLI8gdG9KE2jIdBKKADPGca/zON1/rQx9YH+us//E7BWHf6zxnLQHW6jKHndAze6L/vFTp1yxlDdwN8wc9A31uTjaO8+G8c81i0raz+zOnVq7z8eW1v54R8dJrBvTH7RhsaKKM949mWnesZA0NYv4CyDG99qZ/lSXONT/M46rf6rmvP9YILp4A11jqDDf17OIAP+BwP8GyG7vEYcMbMfOHQNAc4TawJJyx/6Zd+aThrvCb74Q9/eO+DH/zgkGPqOqVNduV41BdOm+YFOWiNAw4ZD3n+5m/+Zsg+68cpUfVP7TvlXRtXp9+chCM39Nm8lWdsyQc4pc39l7ZgUeBSUsCc5LTnbDSXzd9PfvKTe5/+9KfHiWZrwLrI0Wj+Wr9eP7du5Jnv0tVP3stzb004uQmfz79Yb8qwH32b0+djfArCGvcNT+tMWwF9QOfpp3Q60Vr3lsPp/RPcwAOHZMVIWD+LAosCR5YCT1mXR3YIq+PPBgUoGYHymTdW0gClILjPQVnZyodDOcqFYSWPUqTABArMU2ybSJtHZav/bIxztbEosChw6SnA2LRJtSl1IsDG1EkzT92TNb7BRIZwwNjkLjlx6fl2UA8YMuQ7mY63TvP78wLGhtdFGSiu8TaYdQvext/Si3OCpSsqF57zjeHPiaVvnAy1QccBZQQ6K6NJGfk5X5STJp/xp7wTnuYtWgi+W1p9c5mxh1bSLgTqX3F9EcNNz+qrYI1ZcznmOFqMGX3FnED4JuYIQmfjKpyJR8qALW+qM6frS/dibet/Dku8QDP3YKaRuvJA4xDD0ziaL8rAi8dCY9VXZeKNdABH4zCXZ4i+c6z8Nsx11vXhUgBv0B+I8S/615L7wFwB4nlO4Ddcc1m4rHF4b7jhhuHwd92+1Slt8sy68AquV+Hlw8OB0+ciPNyBy4MDpzk9VLDeO+Fdm+qZt+2DpVt30vWvPPvo6jSuFS8KXEoKkM/AXKUDORytMXbeLbfcMr6vyZHJYc+5SM8oY11YB73Cbl63FpVVxhqjO60F+kqwFq699trxViC8Hsz1mYlkvnUC9IOsl25tATgCa7bvM88yofwVLwosChxNCixn59Hk27Pea0qAoqDA5s3V9tq9skH5YvXFcFCInpxRKBQUZUQxcmj0Ol9lw7XiRYFFgZNBATLCptSm1j/U+r4Zg9FT/BxPvsfUdwYzRGfZczIodTRGiY/kO94JjJwHH3xwGPyc1ox/hg19QO7jo5AOEG8hXqsX7CpX3rnG9BVnhrlY32rT3Mxwgpdzsr5K54hjnAF1coZydjKmTu+fHnHai/H22GOP7T3yyCPjdIrTJV6bNa/pxcMwuLSvT/V9dGr/Bx84VJ2SwR+xccUj99qvHBwMQ2kMUnQRZpq7ntspTzkgr3x55Y/MJ/K7FtcGQ7j5gxfu9Vl9YwD6Jz2667f6jGF1CvVlVNr/MWZ1pBtbMVz4D48+V087tSFdH+SJG5sy7ss7DD7W3xX/XwpEazl4gP7xotKVEYN4VH5x/K6c+SFYw/K8Hntq/xSm+eePUfx7+7333jvmjgcYL3zhC/fe9KY3hW7oLH/05SS7V9c5ON/whjeM02fWuTeZzGFzpHnSPKwvHkL0IEKe9Bw4Tza0LhYFLgMKmJtkLdlJh4jJUg5I+s3pZmV8Z9ObA5ydPvtgXtsLsAutBzjoVenWKly+nWu9ubYerEPr4MorrxyfRVOeflU/vZCMRhrrmG6G20My12zO8tS3PtVN3o/M9bMosChwpCnwlJVwpIexOn+xKUDZUBQUByUwKxBt2xhSSjMolxFQGbE0+BgM8NgY+pC1V4R8e4XyYgw78cOoAtrWhroLFgUWBY4nBWxgOVQ4gMgCJzk5OD3Z5xyyCc15QV7YJHOEMho93XfqhkwRFlwaCqA940ZgVNALOQMZ+5yceOYUFOOGc8ADLkDG54RgEG1lfriVSbcoM4M8QbvbvLncM13Dr/9BeN3P/XI9t1WbpcuLHnSbeSzP6+CMP8be6X3np1f76DlzXrpTy4w49AlnfTnbWL3GoB8zMOr8GQrD0bryKqC1Z9x0s/Gqa+3pmzQGqn757ICYYelkWmtz5on6jEk8g3+m0dyPrpUzfu3U1+ZPeCsrnxwA0UYaOsOh7fLMI7DFIa35pM2M9NqGx7V6getwqytIm8uFU7ldbYZrxedPgXiM9/Ef/+LJmTBXR1kQv8KJl8rE9/jtVVhyzIkwDkpzht7hNLGWneDkAPV20l/+5V8OHOZvbyRYI29729uG3LvxxhuH7FPP2gi0Vb+kNX/IDf2CT9/0dZ6z1V/xosClpkDry3wlo61L8zr56iGeMtYQx6ZPqVg79n50kTrmtnXjYaA9g2/c0kP0j7Vgv8B5esUVV4xX1OlIekib8q0huqf1ZB1ZO9L1Q7nSOuGprLXYWrvUdFztLwosChweBZ7ayR8ezoXpGFKAIrDBoiwojV1AgcgX2iyKg5Sge2U4Kjz1u/nmm4ehdfvttw9lBj/lZyPJ2Vnb8C9YFFgUOL4UIBM4Vry6LnD8ONFlE+q1PwZjm1Wn4XxX8POf//zYIP/2b//2OC1zfKlzNEZGtjNWGBv45r5XjTmu//mf/3m8ws1Q4TTz2hmjByhL3tMV5P2sP+Rn5IsZJfLVqZxreUKOAvXOB+DMUIOXI03fAIMM/l19lK+ufH2kzzg0q48mHIUCow2uu+++ezzs4yzplXZ43HvFX5nzhfqoPyB6cbTQsa0vrwdqB6/0X9B3RqZ16RX28r///e8PhyxnLOAEMq7a0Cbdrv/mgnrSngnir7JwRUf13IdfjLalj4snyhifEDxTu3gab9TRpjrGnqyRFrjuPloqXzvwGXv9KK5OeFZ8/hSIxmiK7mK8CuL/TPPSlCldGt7PAR7zK7zVM9+af9L0wQMbJz49tOGYcXqTk+Z973vf6Ipy1riT68r4Ni+nqYcZ6s2grPkPb202/7Qt6Lc8stXaslbN0wWLApcbBawfOqG1VkxXWA+cjPS+wKHJ5vMgVDlzu4cE5vqXvvSlkWb/Z8/gO7ove9nLxvrThqA9a8ca6jQp3SPNOmqtpEvbI2i/9YaGrUP4FiwKLAocDwosLXk8+HjRR2GTV2jDdVCj8lNs2zIUCeVjc9mGkqKy8bNxpMwoKk/5GF8Uo82hp4HqzUaE+vMGVx7lpm0KTZzCUheos2BRYFHg8qOANep0mX/YdPLPmrf2nfJk6DlF5uGHjbC1zllEnpARNsRO1DA4T+2/2iTP2p/ljXuBXJAOkguzvJqvLz8qPTs9Qp/zpYO6Bb1ljDNchE5w4CvjH0+T1dUhozm5nTJ00gO/8YlsJ+/pC/U569xn7JsTGTBwnG//txQOz6w7Siue60hL79QPsWAcdJ8+V0ZddPCKO8eicWaweU32i1/84hivkzD0JCMxg01d467NXf2JrsqCdK82gPzWgT66h1OsHeWVxQf84BzFHzyo3EC0+YHLOOHZ1a9N8XFbHbE6xa5nmkmf6Rcu6fpsPGfbJrzqqBuoC7/0bTv1S9mu57ZKK9/9nF8bKz5/CqAnvphbAjAXZ4ju8W/Lg3nuhk/95pzrcIhLN7cE9+aO4FoanNaL8vXNurFe6Cn6TTnrXZmgsq01+IRgLitNHtknVnebX72zifVH/XPBEc3Ppc7Z9GWVOXwKxKvic+X13CM4zJcZ4Jvn6jbPvXq1az3az2XTeRBo3ZjP9gdkrnUC6DvlrRc4PBh97nOfO2L2Il2oXmtcHeX0x7qsv61R6fpRf5SvX9WVt2BRYFHgeFFgOTuPFz8v2mja1NUABbELpM+KZ1uG0cSRSbnZ/KV8KDinRCga3z/yCquTnp74eUXBB985NBiCgk2hJ3UM3sDpE6+/w9krDQxjOLUHtHNQ38Oz4kWBRYFnlwI20BwpTrX97d/+7Vijf/RHfzROxfjn2uSDDa4yHGGe8FvbnC7kxUMPPbT39a9/fe8P//APx+vsZBYgLziRlCNz2txqM4ePcuRWddyfVEDTDGCy9HwADkF94Y477hjf2mLMkMn+KfXXfu3XBs3xhjwno9XBayek6AHy30Mvst8pXqek6AP1OUsZQ5yE2mAg4bU50unE8+n7tk7z5WxpobwxzKA/aGoc5jljb+6jMQi+YebUpDGb4+j253/+58PJ/573vGec8vR5F3/2ENCn+gYfw28L5rjQ3OZ8SQ/rC2OT3nSN/voYHxiTaCoNn5Rxnw7XnrHsoo31hD9nC+gG364xwK+dGRrPnHZQ/bnMfB3d0G4L8O9qQx1z+CAwjjPlH1RvpZ89BeKNNUVukB/mpXkrDY/MPwEv3AO8AcqZz2I6wdySJ6gvuN7WU1c7gj6ox5FpvZJt1pH+WKPWmGvry+u3p/c/VQH6x3XrXRvw6L++WJtifZYufxfIP4w5pi1tg+i1q705DW3UC2Y6lbbiy4MC+BS/mtP4JeD3Loi389yTFq7WmfvwkLvWivvqV772tdecph/pacGDaQ/y6HfriQ68//77R9ecAD116tTer/7qr44ToD674kAM0J42akea9s9GBygnbEHaQXTZll33iwKLAkeHAsvZeXR4dWx6SplQgJRVm0kxg8PTPqe3bBApPhsxRp8TLuopY5NnI+neZhK4pkgZZ3C5FisHDlJuI3P9LAosClxSClifNqkMT98StP45MBmk0q1n3+gkD1wrw+Fi423j7FUk9zlyWvcGRQ6QD0LQBrwN75IPUeapOCPiINrIR2cxGovxRnk8wStym4zGOzRnqHiFk5EjXz1l440/L/AZA58o4DxQxqvWcHiwZX7gudO+2ubApi8YTOYJPNLNA3oC/ssJ9AeNGu/cN/STbkzGqhyHCP2HRmjjMwBo4nSLP0NBD+NuHqMT+qC1vNqbeQivdI5I7XBkqodu6hW0o08FNM449Rohpw3nM50NJ4Cn8tqsrXmc63pR4EIpYK4KwFw218w7IHZfunLmsnldntjcrNyoOP1UVznryRopzRp1Tbb5liDnjKAc2WatWhfqatu6VRYODwuccL/vvvuGDLPWratOuOuToI3GBEdt18XWa+VLf6a4tS1GE6AdAejzLqhM5YqVna931V1pl5YC8a5edI/X8S6+i1snlTf3AtfmnDIgXK7NSenN33DtKken2a/Z59HlPpHiYaWgngea1oVDK/2xEX1F18mv39qb+7JdJ9pesCiwKLAosJydaw48qxRIWVJWKUUdsLmj3DzhYxgDBqvNoY3i9773vXGahVNDWQrP5tJpTnhsMBm3HKTaUIYStFFMOaYgB/L1syiwKHDZUMDatHY5wzi3vvOd74x/X7euGYLWs1fbnaLxKhNHj1fWbZhtgq15m+aMThtvAK88eMTuyYPtBrm8y4Ygl7gjaASSnei/BXkMZoEMBugo4CXZy2EtcGB6/Znx4tureKi+suQ2/Mozej760Y+O040MH07t6667bpSlCzgOnABxksofG3j45ZSnh1yce/AwoDgWOOb043IA805grIGD5pv+6jd60n/GZ67Tif7RmR40l6+//vq9d7zjHWPuc5gA9LMePCCgG9VDD+Xjo3Lu9YUu7cHC7PB0DZcycCkPDwfOFfvfWcXDn//5nx9OToYoZ6d8behzBqgx4K36CxYFDpMC5jd5Ym5Z9/PamtsxF8kN81md2cFn7pu3ARzA2gxaU9ZfcsqcV++BBx7Y+5M/+ZOxBq3bTmfLv/XWWwcKuOgt+szDG98ePL1/wvOee+4Z+11ykL57/etfP9a9NZsshSD52oOc+mUsxmXtz+XLPyhGD+tbfbE1S8YchANNBONQJrkVrQ5qZ6VfHhSIf3rz/7N3Z7+WHVcZwM87OIljx46n+LaH2N12bOzYTmJlcEJIEMJYAkSEFMEDCImniD8A/gQeeIMHHnhLhAIKoAwiE848e57t9piYOCEEeOf8yv66V2+fc+e+fe49q6Q6Vbtq1araX83fqb139S8rnfahbXAzZ2jrseo/cxgdZBjy+iNrLk570n+kYdPX+J2AtibwZ4G+YU43d+jP1nu//uu/PvqTvk2fPzTlW/uBvEP6u7eqfxSqfxqBRqAReA2BJju7KRwYAiY+E5RJKZNfFk2uLRiRHU6t2Ih59Ae5gey02LzlllvG5gwpWtNnQZpTn9HpxiwIyWahWuMO7MY7o0agEdgUgfRh/d2i1yYv40XInBA5Tsbwk7W4Rg6RMUYYX6S1YJc+i3RjC7/+L5zltyjn9rhwunoqHsFJrHBjaQysxcO7phHOIh2Rcz/4wQ/GJsUpQht7j3jatKgjrrqhwztXT86JAPI2MeTNByGu6bQZQq4x/uiS7stf/vLYOHnEjf5stGpZU+aDdrNplG8tT/WnTDBUdps79+ne3D8CRFuXhovQR+x/6lOfGkSPR9ph5ZE/8tkQmvuyAaSbTnHKxEjjz0Xzqz5HxjypDKlT6XO6xmsD5IEk8soZ9abfScfQK23qX5j2kXqOnPA2jcBeENAXtGWuNqbNabMx2q14bU6bTH+r/UEabTZx0kePcO1bnH6DdPFHi3nH+ISs0Qf1N0SMvuRPHP0CWSMsJv0Esak8xi1jnf5pbKPHGCYPRKn09HGF5T6jjw73oVy5n9wLLJSdFcaQcR/BwzU/Q4a/6hEWO4QmP92PJ4Cs0KX6Zxn1NLVpE9VNW0mdayu1jl3XsBpX/fpZ5vLsu7Qr/YpF+lu7+RPTH5X6krnMvs0fBdqzNm89d9ttt425KW2V3mpS1txHvc8q1/5GoBFoBCDQZGe3gwNBwKSURakJjK0TJb+wLPhMeCZFE6KFoQ2ZTdaJEyeGTBawFmo2UxaQjGtxjPxMupmEa35DoH8agUZgJRCw6dPP09eRmDaSNn0IlWzg9GeLZvJkLMIRNMYNLmNhLV7/N6aQMS6k/2csyiJ+JQBYsULADX5wZ2AGP5jFBEd4k2eDMfydCnSayckNJIA/sBBnTgiKc7LIJoZVl+reyU5jvU2PU4TSuJaXcd6GCJFgfiAv7Cvz91p6z6WyIf7o02aU51ya4ANDcxBsgk/cafmUWfndp3SIT/0AKbmxsTE7OSeDEci+3v73f//34xF3JK958Y/+6I8G2SsNAzf4MPTlMUD1pW71GVhy1Zd89SH5ildG5UFweqxQHsgY+vOHY+7DvTLpg/x0yJ9ues51fShTm6OBgPGc1ZZzEtlaUXtktcOM79q19lnbpmtjDhNZurRXxL+2a4zRb7V31tiErPnkJz85+p8/5Z3ItC7VR/3Ron/oT9XQb8zziLtxjX569GXWKfUvfOELo5+Y7zbm/fzmm28e752Wr747Ne7J/Wc8dj/6GQsPrn4MC+nJpg9Ks0hn8oADfdIzwTHYRq7d1UJAnam7rIvUl7pT7/HXEqtfabT11DdZbYMrjJG2uuNi8kNGO2ftxfRFc3DtW+atr33ta2Ne8k5u/cZ87ckMZKdr/UdbNVcpB73JP1mmrGnf4tO2p7JJ024j0AisNwJNdq53/R/43WfyMgmbtDKhKoiwLC5NZE7wWOyZ/JAcyE8bXBOoRWEmOC69mQRzUzWvhLXbCDQCq4lAXZjru665xgJ+i2fjgxODFvWMPm/zyCVrkUymGuFMXLJsm80RgBcLq5BfqRMuwzX+JpwswiCPqakb8dnYcI3nNjI2ZepR/XqHl8fdjfHqGcmJQEAcOLFLxgbeJl+Y/KThIlPVubxcMyn7uDiHP7WtLSpT2mFcMvBaZMyF6gFmSBIY8cMMqWwDCRvzo9MyVRdcgg0s6ZFPSA/zK2zhKD1XPP/GnHxBqHLViTB1qMzZKKe8te/lnuJGpt1GYK8IpC3HpS/9K24N49cOY13HRD4uneSML/oK8hCB4w8VJKVxyxiFuPQHgH5orZoTnvpA5id50Kc/5skj4xj59CF56H/GL+mMd8ZC/dFpUn8syEPf1l+5yrponJjeg/yFxbgv+VUclLfK0Cs+YVz3wE1Y0nMTlzzaPfcIpJ5qnU1LVWXE5Tp1q14XGW2UDCMNudoGtG99xx+a5PK0jo8N6j/auvasv/gTYGM+r/hDzZ8LLCOddjr1p4wjYv4zzX8aH7l2G4FGYL0ROD0LrjcOK3X384H+yO/E3WL+kec3SVnIWQDG5LGH+iikjfTdd989u/3228eij6zJl67osVizUEwc3cJ688t1kQAAQABJREFUIhyQ9E8jsLIIeA+ndzb64ro/NGzELID5fX3dAtmpAeMAWUSPxwBtRp0KcALunnvuGScFbBIXbQilNV6Is3FsszkCNi824ogt47Nx1Ma9boYyZcEV8eak0he/+MVTJzo/NH+HnQ2NcRlZls29DY168P67v/3bvx2nnzzuidgjJ2/EqbzVG5IBYapd5D1f3mXpUe8/+ZM/mX34wx8+dWo0hMLmd3f2YmGi3O5ReSteydU9RYY8LMyD2TxGBxntHv6wp48R5mvt5sgvfelLAyvEpE3k3/zN38w25hvJGPVGn82nfNXpyTlp+i//8i+zv/7rvx79y8lbp2ycUvPHgbpwgs0j7LBn6DDnsnQwyqxM6jfzLDk2dZzwkaB/GoEDREBb1eYRlVkrIivTjxYV5dOf/vTsM5/5zHid0je/+c3x+g1z0Z//+Z+P9+UuSiNMPh7P1d5Z45h5ZppX1q1c/UYfNw7Ky9eovzI/sa6srDXvXXfdNTs2P+3+3ve+d/Q3fa6OFdPy6Hu1z+mHdMGA1XeNN/p81stTHYuuM14Zm92r+6v9flGaDjscCGiL5mZtJaf3U/KM58h47Ug70KbNE+ZaRntDavrAIOtVK/lA13ve857ZBz/4wfEHga+rx9BLF0OfMljPaV+ZM7MvzDwjPHHRw1Vudll8lW1/I3C2EJj3g+bWzha4u9R75hGYXSrpZI3AThHIxMllFo0N2dghOpAcWaD519AG2MLTRCutyS0TnetMnvyLdO+0vC3fCDQCZx8BGyeP+1lQZ3NqjND3Pe5nERyyx6KctTgOcenkmY2XaybjC/90HKjXxg5m0QJ6RKz5D1wyZk+hEK6uGBsbpzfUE2N8Rk7a7KuT6OG6VgchAWyg1CV9iVcvqUuyy+zIrPxErgSdE69yuJdlRpx7THm57j/tsYbDKfKZ38gi+eHm0VfYwxtZ/Mgjj4z6gD2rb7HBlF94TpwhM13buGZuzenaWv5pmcSlLpUj8Unjuk0jsJ8IaMP6gLaV8aPq1y/Ec5n0MbL8Ndy18St/wBi7tGOvgWD0Aa9xyKs4rEeZ5E9X2jxXH82fQq4zfsmHZaThT7z8XOt/yEd/MFjnIiT9oaE/OynnDx5/BOq75jllE5f+F331WnlSRn5xSKOEcVMeZaMjhr9eJ15YdHHbrC4C6paJO63PWnIyaTvao+ukSz3rQ8L0Ge3WH87mff1GmpPzP9D8Aa0/+RPSfKRN6z+u80SCciQvuqWlM/0q/ZpctbW81a9MdCR9jWt/I9AIrDcCTXaud/2f07s3MbEmvEx6tUA2XRZ0FnP+ZfRPoS/4eVzPQvD48ePjRdbSWvxZGPo30KaZFW4Dx23TCDQCq48A4sbpPH3+85///PhTwx8dNnpOrlkU+1KnU545+W3BbUHtNNs73/nOQZbaNGZBLk3GgEWLZovjnCLIJnX1kTq4EmZTAk+WictvDFc/MHQyyeOerPCN+clCHxvIuzQjrz6QbGRgzrWRV+/ysxk3ppMzB4QMIMsKj53Waa7ldS6NcmSDyL/IiHev7p9ltEd+GNvwud+0YRgj/rnkyPgyumunZZyqdbLGHwN/9Vd/NeZEj9oiQo/NT4U59enkprk15dNvbEb1PafdnOJUZ+ZOJ6VzDzaiysoEe2VjyCizdsCIF6f82bSOiP5pBPYBAWs9NuvDqUrjBbIlY7s26I8X40v6mTaq/+g7iE39hvWldH+ma7/6w7ve9a7ZJz7xieGX3riF3Emf5LLpq/TmpFstV8okT+UiZ56SD33KYZzUFz/wgQ+MNaxT2MrrlLx1749+9KPx5IP5TjnI+eAbHOhh+cXpq8qkbBl/EqYMGWO4sBTGkOVP2txn7iX6cs+5Tny7q4NA6lmJUt/8wmt9C2PUpXmXMd5Lo11qq+YD8Qh2xjzktWL2Zd4h7cNdSE7t3H7NPPMHf/AHoz37A1s67VL78me2fPQnuumVl/D0C201ZUwb0775p0Z/YuWtvHQnzVS2rxuBRmD9EGiyc/3qfCXu2IRnUoubCU/hMsFlYWaCtPDyD6INGaLTe/tMbh63M6mZSMmwJjuTHkN/m0agEVhtBCx0nQzQ9/37jzQ5OT8h4BSNBbGFtw0pGYtom0SG66SAR6SRNAgdC+06DvAbX5YZeRsvjCNk133MUAcwYWDCBj9x8KkYGW+RA8gFGx8bIDgi2UKkpb6iO3rlQbeNlHoU//TTT4+xXTtIvvITxxr3uflTK+XJmE+3uaOWUT7nwtQyKHNMwpWVyT2Qgb3ryEcWFsLcZ+SlR3zE+GPAvesz3/rWt8aciciwCbU5RZ4gQs2p8JVeXTm55mvSyE0fjPD4Oj0IovQPedSyKUPqRxxdKTM3fnFtGoH9REDbS98x/jBpm8Kr33VkhYcUMU7pGx459yeBP9L9gWYcY4xd+cL6HXfcMfqDPuGkpXQpA938DN2u9akYeeqzXHH6Bb++Ext542TGLjr1WWmQQNJZ++rL0lsDP/DAA4MoRe4YP/VXc6YxAeFKX06i0sfWPquMxlH6xMkjcuJcZ7wVzuR+XfO3WR0E1CPLpD7VIRN3XMx/Up9xhadOuaw0+pe25qkB6zD9hasfIOn1HXHasDaozZmHzP+33nrrIDv9aZC2Qqf1ApM5mz99R/tEatJHlk15yNX7c524uNInL/FtGoFGoBE4PSM3Fo3AASJgYjKhxbjOBGUyM8ExwliLuDwKYUNtgiVjc+aROws7i0SyJuIsRqO/3UagEVhdBPRZJIxTKRbGiJg777xzbO4sjG36xFlck9PPkZr+5EB+Wlg7FWMsMA4wWfhPF8tTFMRbaLd5FQF45GS8MdrYbONRN8nwj7FhUUeINAS1jRHyzHuV1SWjLqTJhkQYf4zx26ObSO7vfve7I/9s3ulnbbpYdcUa4xETiVdm/pS1ljf5nCs3GzTYMsEi5anznzj3V7GKnHtCbGjjmSdtOtOG4YHcUG9/9md/Njak+osvSbNOrvnDQH9697vfPXvHO95xyu9UtD8NbFSRocqgPuhilUs+ycs1rKtRLvHi2FrHVa79jcBeENDOtD1tVL/nGhv0D+GsflLbHz8Zc41+kj8DjFlOlRs7tF0nOfUhj936M11e9CMaufqCuUhe3PTTOt9o+zHpL9z86UNWOjq4/pwQz7if/KGvH5LRT/2Zp68jlnzASJmd9nSqjl5lNd76o8KcqKx0G0cXGfmx7icmZXCd++HCLfcED2Vqs1oIqDt1rn0zaZdxMx7nOqV3HfmEcfUfOtW9ud2fkKx+g/DUTrV/bU7be9/73neKZNdutUnrMfqR9f7QZF3rX9pV5vWUQbhyal/ctEdu7i9llSbpuPp80uRe6/20vxFoBNYXgTNXquuLQ9/5ASCQiSsT1FYLpkxmJi6TpEnV5Hhyvjg1oSM+PC5p0rVRzokutyJ+K/0HcMudRSPQCGwDAWODfhxiJScDbErvu+++EXdsfmrTRsvG0Jjg5I0/QbzOwsZUuOsYOi2ouRlzxCWcjlwLa/MqArCwaWKModl4vBr76i8ZmyDjsRP3NjNcm3FY+2PKqSibHtfqgUk9cOMXjuy0QTeeO8GLxFbf03TGdWSqfBEC2owNlbnBxisb/Kqb/lUwW7WxlJkbWf5g4B5c29QxZMQhfd03TNQVcoPVP+Bz//33D3lkpznT6TV1ZWNpXmX0G5vbEETqlu7knTzlI1/1oP+Ir+0jcnTmfsjHL7xNI7BXBNLOtMO01fR9bVJ7M1cw+oV+gORH2iDwWWONMcQf58YtfUC/cbLZE0Re+aCP0OvPgYx3maO0+5Qj/TVuvT9hsdIwSRc5Yxcjr9yPe8v4aTzldx/6NSLJmIn0zB8++jSjX9LvnvR39w8PebDKLz5lSJmly5w4FM1/YCk+rnB+ct2ng9LquOoq/UD91Dp1zaYNKnXqNneg7Wlj2ox61gYRm0496y8+hPfkk0+O+YMuc68DJwh2f26as7MGk54efSdzVMqmXCkrN+Uy/1QjXDzLpB0KZ9MO49Z7q3ra3wg0AuuNwOmjFeuNw0rd/XxgP3I7b7dk4mMyAZuslhnyNd61iZj71a9+dfbwww+PhSudJlvvLTLhenynbnrlxUjHVJ0joH8agUbgnCOgf1pY6585aaJvs4899tjov4gZcRkHbESz8Zxu4NyQBbaFtgW0jWLGgCy+bfb8QSIPC3wLZWPHuo8RNhTwYGAGF/hmLBUPWwQnosBjlU4ZCVM3CAOnBD36mU0OXXBFQMB4amzMbaK89+vv/u7vRr3Z0NvYO+ErT2SFE6TIUBswGyf6/vRP/3QQE94LhiQnpy0hA5R71QxMt2pjkdE23YtrfnXhnrXd6BDHMnFzz6nL9AWu/hSSB/HpcV5hCBUbVXMp69rpz2wk6VIGFomSfPUt6dRr2kjKoo6kU+aUN2VrtxHYKwJpg3G1sbQzbdF4hKRB9DsFifg3ziA7P/rRj46xamNjY4wzxovMKfpZCEF6XMtDW05/UHZh2rg+wcg7fXQEzH8SLy0/GeMSuZiUmRud5F0rR/6g0I9YYyNrnNanEZ7GYn3Z6Tv3bEw2dmSeM5Y6Her0dvzKkLFUPzZXTsf6lNs9Kn/KLm29h9xLu+cOgfSDlCDtanqtTjOW589DYeZyH7bTdrQ57cfcrJ4RmyxSM3+oGfe1B+1G3uT8oaBN6k/+NKBXHF2sPmmONl9In/lMGcUrM53pC8KVlY7oEsZkHoz8q6H92wicWwTmbXc5uXFui7a2uffJzrWt+oO/cRMVkw2RySsm/owRcRPPNbFJi6Aw2Zo0LdRMkCZsCz5+k2cvwipy7W8EVhsB/d2CleE3HujD/DZ1+j0yi9/iW9+3UDYmxCQdl8mYknhuZKaLZuFJV+XX0R8s4AenYBYshMMfaYw0MPYad8nm1QLqRp2xwoN36oRLr3BGXSMabJCc6syrC2yKbOjJyY/NOK+9sAhOf3LZcE3zSZlXyd2qnQWblNl1bMLipq5ck2Gi3zX8YQsbRIV6gqlT0HC0qYUh3PQr8YhM86p5VN1m3qUrdZbycIM5t867kUl8yjUK2T+NwB4R0L4Y7bK2NcSI8Ul7N3b4U0Z7dvIx60TjiD6hHyBwzC3GHlba6EseySd9wHVkavue9sdpm5cmYVU3fUzS60dsrsW5H3kJU3ZjrPIK06eVG8mEtFRO8u5TPEseDtL445BfHsgpppan9vnEpdxDeCKfsHbPLQK1vShJ6pTLagdc4zyrzWgH6S95QkOb8IeYcH0ofzTrL14XZL7Vb6zHYrS9tNG44pRJe2QZ+YvnMtM+JUxc2lv1i4tJvOvIRGeNi3y7jUAjsL4INPu8gnU/H7BPs4ArWL7dFCkLMmn9o5cNlmubLJNfNq/cbJpAYcI1Mdt8sTbYFnH+wf7a1742JjqTs8ePWCc9kaExdMifid7EtdsINALnHgH93+LaJsvCWn/Vz21cXeu3xgUL43oigZzNm0V3Ftj6u8VuFvPGm3qy08aQFY5Yy/ggTRbk5x6Rc1sCuMLZBgYmxt2Kv8fanJByWsoJEI+Rq7uPfOQjpz5uk3p0J3RlDKZPfZJHrCEh1A/S0skkJ0u+/e1vj48dIeNsttQlv3HdqaSN+Wmsa665ZpCr99xzzyBKtR/5IFwzx6zqpkebq7jkOtikLaZtko0MPyyDJ+JjkdHGI5P+A3Mkp75i3mVdqwOnwZDM3vFp08tI531srPcGwlxfS39SppRRmbWTYK4uQkzro9pPm0ZgPxDQfrWvjEl0au/arvHIkz+PPvroqT9jjEVIGuOG90Eb97Vp44T+w9LF1n4mn6w/066lYSOXPqAMkeGfhotLWPpvlZfGPWUec62fKZMxUDmMD2xMlaWbnLVx1sj6t9N6xnHjp36N8BWf+dZJzxBYsPE6EWMoAnhqan4Zq6Yyfb1aCJg7WfVtnOdqE/oKv49caSfGfiTmzTffPOZzfUQ7D7GJ6GS1jfQ77decYp7QprVB7a+21bTZuGS0c9fSpl9ALX7tjKGXnDQx1Z/5LWHpT0mXNO02AgeJwLwdNrd2kIBvI6/Tx2K2IdwijcB+I2CSyiSZCStu8opMFoKZdIWbtE3SFrc2Ydn48ZskTcpMdHIzoUY/dzo2pUyRpWsqU9O3vxFoBHaPQPp4+ilN+iBroxrjOv2a36K4pomcMHIW09xqpuH6tcXxUTMwYN3forFLHAyZ4BWsuGzSccnYyCCwTs7fm8z6WIYwpzKdHEIg5I8mdVN1yIulJ8a1cV0YoiyPUufaH1qIVZsn1qbco5je0+qdeuYCm7Jsmujjp2vVTcVBWV3XMH64T9tmNoJJs+w+g7d4elj1oZ4YBGQ1yA2P+8pPHatXc6v6QUrbMCNT1DXZ4Mxl6N4vExzSXhbhkLwim2uyi8xUbpHMVmHLdC9LtyjPnepYpntReM1vWT5Vho5lctEf+bjkt0qTtHGTNm7Ct6MraWqeyDtt1JigP2iXXm8RstMfMUhP4eYP60F/giPsjR3GmWq0M/rlVfPRF7T/xEuT8vAvK3/to2TqOCidctd8hDF0p9/y5xrpycboi7l38vqgfq1vTo1xGsEJE39o0IkYFsbQS5cDA8JgCzMYcZXdeMrCI6480+cX3cu0HPJlpq6wKT7CGLJVvuK9nTxf1XLuf3MPKcn0OuFpZ9u9z+DDlVa7UH/q07U+EuIb0Z0TmyG+kZzq3Fgvnf2SsR0B7rVg+o12YE7PPCQv7Tv9Qj7i0hakISNe/0vZtJfMFdmXuW/xLEMHf/pPcNisrpM2esgmbCjtn0agEVh7BJrsXPsmcDAAmIBCRJoYXU8nR9eJS6nIZWI0GVukZWNtcefDJNKY3Ezg5E2+3hVjUWZyFTY1ZKQRl/i4wk3UFgwpYxZ4Uz193Qg0AntHQD+zscqiWV90rS+mn8olfZTrhIE4fZOhI/G5po9lxEWebPr2iDyCPzYMxjn3WTHIrYo3psKFHByd5AiG0mVDyyWTzdKDDz443hFnjPQ4mw/EOQGSuoBzxZdO12yNM4bTnTFevDIgMpGY3g9mQ5ay2kjZeLHmAemkoR/xKT66cp+r6ipz2jtMmOAU/wic/OR+pUm6ici4NN+KV28M3YsMGfjCFHbq0AlOcyDsfZTCCV6nghAn+p3NMLxtjFlp9deah3pFpNCX9rco/0VhysxqX8omvbqtJvdfMUj+cRfJ17D4qw5h02thcA/2rrcytXzxu49FurfSlXj3tejexNNb63qZHBmyVddWstHNdQ/qdrumplWXrll50hNcN9M3LZ92ibzJCTWEjXYaQt644p3B2uSJEyeGa7wwVhlfjHv6B73KspnRJ8hFdjv37p6Y3Oe0/DCMTM1bmPxSpuRdZfilp1NZ1Kd00sA3fnL6sH7qnlmn4mHn/pFgyCgEqBN+/P5cgiOd+q4+l36O9PIHidOfXPlM70uei4yypXzVTdlTFzUtOeUnw7qWJ+v+2VU3ysxwY127n5gqY7yDqXtTt1u1teBPh/rz55SPVqlPBKY9Ectf37OsXxjHPZFx1113nWpP5lx7J3Fk5K/dpLzKJS91oG0yKUPuJy5ZacWz0iwzNY6stEm3LI1w6Sp+0jBxx0X/NAKNwNojsP0Vy9pD1QDsBQGTTzbC0ZMJyYS4mcnEiui0UCNPl4WYUz4meYtYC978c22zZrImm0m55pFFtzD6M7lGRnwlO8WTS5kj124j0AjsHQF9q55c0c/qdXIQnj6of1dT44TTOTVkjAeLxoSp7GG/tkGxWczY5t5tDOJmjHOfZMklPuOjzU5wtWGykfKOL4+IGottjJzm9Ogj0iuElDTVLKoL8eq41rNxnbXBNobvxFQ9O0l3LmSDT9ydlCH1sVWazLfqUv0uqwP61LP6s/l1etacqi1wxXtywgdQzLGICSd6kUdkj82/wOvUnGskiHZEX+bMlEMZtnu/8lZu7bcSHu55qoPeGPc4jaeLJbesDOKrmV6Lm+qt8lN/0nNZ+XLp2ImeqV7Xi9InD/H8cSNbwyK7rD2MxK/piWzc7eIXHTV/aTOuRE/qi/4qm/Jbg5HVBqRlXBuH8mGtxx9/fBB31n7GDRap5yNpCDof2aom7Slh8k3eCYsrXDtmp2ZZGnKJiztNuwz7RflM07pOmeAWE39c4fqhtTFjrJ4a5PC//du/jfEcQcaenP+hYa0tzjzpT6y8OsSrRowJSDHjAKz1b+tsZXK/7i3zRsLkq1ypQy6rLsmkPaR8wU14ZKWPbq5rcnGTdrcuPdWkDDVsK3/VET+3WjrcV40X5jpkp+vk717TZoMHWX5zMnykQ17rE8ZqczRC27UTz9KrU/OzedKfVfqG8f43fuM3xl5JXW7HKM9mRrlTdnW7lYlsldtOOvI1r5q+/Y1AI9AIVATO3JHUmPafMwTmE9mZs+45K8nqZJyFgEndJtskb+K2kLNA8+/lD3/4w/GeN5O8iVycL27mMccQHHRJz2VNmBZsdWFWF1gWFZmQLeLYNo1AI9AIrDICxi2W4dq8shnDbFqMecZAxrU4Y6xTIMZEJzxcS+dx8n/4h38YmyjpPOZ20003jcdCjbHk69iYMXMo759zhkBIBfXLLquXyCEzWG1G3SM4zbEJ4//Wt741NtdO19lIIz5YJ3KdqkOA54SQTbS45M9llGNaFte1jJmj5eGRTO3OPD6dr6fg0pO07sG91Pzir2WZ6pheJ800fLPrlKH2sc3kt4qLPmVJ2ZMmeeSaDJN6zVgAw4qx8Mhwc5/6MqyTZ/RP865pp3kkr6kO18mHm3TC6VPfLFLdes7Y49ShNuBVC4gbVltD2Ghj/hxBtvMbj/iRcMYwJnkk36wHR+Qh/Qmuuy0+rJ0GtKZOH4Ov9bE5APZwM/7zk9fnybPqAxFqLkCK6uf+9ND/kWr5AwzW2lzKG1e5+eXN1ebIpd3Iu8qST/2l3ZBJmPjdGHkkL7qY9JG4W+l1D/BhoiPlihsd8ltkpCcrT/q08bR/WMM+9ZX3rqqbkJ72RPDnwjJPQagL9RN8xes76kV/ce/GSeOqcG6bRqAR2B0C8z7c3NruoDtrqZq1OWvQtuL9RMDYYWI2CVsAWGhlEWJRa4L3L2ZeSm/iZi0eIlfLk8WNSV78dPGRxZYFB0MuslVP+xuBRqARWEUEMu4Zt4xvxsMQVsprPGWnhqyNFUNHxkdhCAebrzzG7E8lm92Y6Tia8HYPDwLm2moRFurbXKjunRTyYUCkp/cAOkVE3tysfdlg89tE21SbS6MPCtpI2onwGH5tjal+1+ZxG3rtVZxNO1vTk6sm+Si3PpA5XRpxyYu7mZ6qczf+qrv6d6Mr9yQtf9VX/dFNJmuXECkhPKIjMnCKDF3Bh3+R7mke0tJBlk75wJzZSkfyIlvrI2MW0vOxxx4br9HwmHXCtUukurbm45TanvUgcidlTv0rH7NVuxlCa/KjfozhDLwQZ4hifQ3pqY9ba8Mf0YZgc3JQHDLUa038wXHDDTcMwlM9GC8cNKAb1gjQmNRJruOqG+00JnK1XSSOW9s+/15N+oAyyDv5x5/rzfKJjpRNmrTluJulF5f+Er96YNQD6z20iH+4qw/WmKyOGCfsPe3mDwBPvtgX6SP6hD8D6v3wu195TAnToax/GoFGoBE4IgicXmkekRs6Crcxnyz3PnsfBSCW3IOTJghPGyoLs0zgFmBOeN5///2zz372s2OR5V1yvi7o3W9Z1FFrcQXm6SLLZioLE3rJsBYDZMXLt00j0Ag0AquIQEiLjGUZw4xfrPGtWhseMknHb+xjbL7y1XUkgy+lOy119913jxOdNlUIBpst6fOer1XEZV3LpM5Tp5krYZE6FsdEjqsuExbSIvLmQn8sIjbNwwgQRLhNc30/nA25eO3L+xO1Eye+PPqODNF2qlEOeSOykheyhBUnv7RbOlny2ejTRVa7zzxNT9o3f/SSnV7Lg4381E93yAhxTNKMi/JTdVd/dBfRHXujr7qLlKRs6jL5cuO3jgme3MhHV+JgnDbBFQ4H+cOkmuCSspGVnzbDTR0iwKTNmGPtpg0hc/yhgkhDqms/0pJHpBl7EDgItbxz0KPVSHVED53JU14pjzBtQnzKVst9WP3TOtvpfUiPLFOvqdO0j1rvsNS/1Zc/N/Q59WUtLozlT5jxQT82NqQO1J26UpdOglq7O0WoHrnqRt2aQ9Q1gm7ZWptOecpP+1D/09fa7BQL8vRqH9sxZGEVk7Eh13FhBT/4GBOVF4bwZMW5F+699947cEs7pSP9TBtG4rvP3C8MYeQahlzjLKzpiJy2L+0io57dhzLIK+PCItkOawQaga0RmPej7Q0iW6tqiX1C4MyVyj4pbTWNwNlAIIumTOIWF1lsCDPJsxZvX/7yl8fk7UMaJm8vVbcwsGBgszAxJpnsTfR0iZNPFn7iWeHieww7GzXbOhuBRmA/EMgGzFiV8ayOYTY9MWSNe9nsZHOb8dVGEnmFfEByIh8QCjanTo/YsBons1GzuQ2JQXePlUH63LnqYZlJHVWZzHXaAKN+xatjc2DahvqvJpv57373u2MjbzPvNJg2Y5OvzZh/tREb/JCgaZu13VS9iefawHMZ5YmVN6Oc5noydX7PPURmCL/2U++dn9Vv4vIz6UswYCI79btOGfmZeh3dr8bs/Df5b5Uy5eMyKQM3/T0Y0blMb/Qod9ZJVRcdy9JLK536MZZIzxWuHXERP6zTaogx7930p0raD93kjs3fC+vPamSY9wMbexBnCB5jmjIpS8pJp7YmbcoYlwxLd+5lKzyPajx84KQvwYfVz7h1rlh2/9baiGrv80VU+4iZ/u1Ra/WpXtU5vPVNJDXSTbzHqhGaxgV1KT/XyDz1yk+2liP1lTYsf2VHjoqTz25NdMOkGtfVysM1N/klPulyzQ0JDBskvv6Q1zMoP5tx8etf//roD+5ZPbh/rnkXcQkrfn8WwXJjY2NgJXwZmVnLxK9M1aTeK841vv2NQCPQCBx2BJp9XsEanE9GZ85GK1jGc1GkLLazwLA4MVFzLZ4tcBmbcy9d94+qhbPHnDxmc/z48fHVYIuGLAyyYOGCXR6MiT8bPvqzuLJAlmebRqARaARWEQEbJ+OZcYtdNmbZdCGdyBj7bEaNeaw0Tud89atfHQSEx+WEv+997xvElUdGbUYzbtpw0mFjRi4bqFXEZ93KlDpy36nr+Lnqja1m0XXaE7fOgdqbtoTkeOGFFwa5oe3Y0CM8tDHzqXTktJXoQGrQZW526tO1zXziydIfQ1b7Eq+M5mU6Y7TbtD8uQ0fm73pfZOlh44+euJHnkmGZhEeuhtEXE39cdbEXEz1Td5HOlLHWv7Bcw5Ke6BLH5jr3G/lgmLzEwziYJDwueWsy9a8dqEeudRmCTPvQZlhEEFl50ZcTaUgdRLg/sRE6xhcu8hwp5jptUdpqcv/uh05tUJmQS1w6lpW96lllf+pst2WUXr2k3mGVdkFn6p5b20Xi1FlIPPWqryE31a04j16n/9Khr6ZeUmZtSH3TL036PLfen3h1aO2u7rms9K61kWkbSB5buXRrC9yUr947f67TD2oY/T6aZZ50v9GnvLmH6tLBJGxczH/cj3KoA2m1by6S3/yM1NVug4E5mIw+wpV2UZtW1pR7mmfqO2Xmsm0agUZgdwjM+093oN1Bd9ZS9cnOswZtK95PBEzQJmuLoSwAhFkQZVyxGGA8Jvfe9753/Hts0+V0kgUZv0WBf5SzmJDWYsligKGfXzibBRB5tk0j0Ag0AquMQMYtYyNjfJuOXRk7nToRZ5wjZ2xlnLxxyupf//Vfx9hps4WQ8sE3G0uGfhtbmztjLx3CWHqmeY5E/XPgCGgPMXWjmzkvcZnz0n4SvsyNLvWcPxCRlfRqK4gNfm3kO9/5zmhHPiLoD0jty3ycd/vddddd4+vZ/pjUllhzNSJMesamPwSA9qW9kkubreVM2bh0hNBRnpABaffuly7hbMKrvv3y71efcF9M3EXlS70vylM68VyYhAip+AQTcmxwI5P0wnLNZZmMDchNay+P72oP/Agh7cD71dVLyGp1i/D2x7T3QPr4mdcQIXcWmXrvyq+eU066tI2pIac9Wedpq7mnqdy6XMMrOPHH8MMIXrHBSr+EL6PvkXUd8nFRfySrbej78OdqB8hQZLiTvPJxQjSnehHieQRcXctfHuYiJ0GNHU77qkfjD1vbhDy3a+hOv08bVp606fi52rZ8EicP105lmjPdH11wNVcqH8yUGyELq5zEFO6eyCv/xz72sVPza8Y3ccswrfeXe48rLnUqTLmVOeVPvPKQS/3Kr00j0Ag0AkcJgdOz21G6q0N+L/OJ6cxjFof8fvar+FlwWCCbsC0GLBTAZaIWRsYizSbeIsqC2sLK4+xkbNYtkjwK5V9SCwwLjkBe/3m2AJAH26YRaAQagcOAQDZrxrSMa3GzqeEaL23MjIuubc5YRNSnP/3pMYY+9NBDg2zwGKkPHHz4wx8eG69FfwrRY3MqL+PydjZohwHPo1DG2ha0j3qt7pm0g1zHJW9eZYSx2RCnXYnjJ8fNXMxvvkZcIKMQGeZmp+u4ToBpgyHDQpogBZBcSA0uwgCxYS4mo21pq665KRM3ZUpZtFWGXDb2rnMv/PXek1547UvumRwTGW78NZyf/mpqfjV8J37lSf0lXc2/5hF/vTdp1QNsYCEuNveScnOFqUt1CEd+6yVrp5QFoak+EVce0yXHVa/WYMJz6i/jgzyjxxrMmkydqmt178Qal1yM8qgD9Zi8F9U/eenSRl0HI/eR+5dXlSF32EzqbLfl1g7Uj3rVHuARN+0gebhmYR7cxKVtJBz25NQR/VzX8tAeuNqMtba2oj6EkxXHihNOt/AY12zqX5wyJM/I7dalK0aZY/hzHVdc9bt/NrIwyhglnF8bV1ZtX3zFzLU/e9IvM14JT1jySzmDRcWZ/uAhLT8DM+lihdGX+KlffJtGoBHYOQLzvnR68Nh58k5xFhBoFucsgNoqzw4CJm7WIsji2sLBQjnjisnc4sm199lYLPtn1aL7G9/4xvgn2YkTaW2iLDToYKJDGD0WXBYQ8mvTCDQCjcBhQSCbF+W1sTGOGc+yAYprA5V3nWX8k8YY6pSKsdBmChHhhBWyUxqyZBibNpuymORnDG2zOgikftXP1AhLfOLqdeZDcdoOm3mxyvGLo087iXFtnqZHPCMMoeEdnwhPr5353ve+N+ZmZLt3bHsCI6f7zNcIMPnSLX1s2l/KIlyb10blqQ1ryywSfisT4oAe6ZNP0sknYXHFVX+V5U/Z3H/8kdmJm7rgMjVPeqNbPjWv+MmHZIIFTOApfpGRDwtL6y5prZnkoy5Y8dZY6tGjvAhNrxJCaCG0Q27DlQ4ko5ObGxsb492b1mrGFmu1lEM56aUzRKk4ZSVHl3o1/iDC3Qd/7n96L8Lp49Kh3Mtkp2mP8jWc1U/qVd1qF/DhT7uBVfBKHcFFWEi5XKfuah9MnD7MqHNGem3CKU9zlPmIPvmrU7oiJ16b0ibI5wSotqd9Zk4aCXbwowzaBv3yc83Kn+t+U574q5usfAR1Y96m4Rc9tZ1Fb+Rdx/ArA+KZX97JM/7IxpWHPhCcucoVeX6GvoQnLbdiW8Pb3wg0Ao3AUUPg9Gh71O7sEN/PfBJ6/Y7kEN/PfhfdBM9aDFiQgYs12WfCt2ASZgHz+OOPz77//e+PR0wQnYx3zjkp4v1gNlYWKNk0ZeEjrUWCxcJmG4L9vr/W1wg0Ao3AbhEwfhn7MnYZE42X2RAinox3xjXGRpf11XXvXERY+MCbR0o/9KEPDSIifxzRy2Qjlo2pPBj5MDZcbJvVQSB1x41N6bSFahPOTXuqYWSF1zhh2dxno50007wTj7gwJyPHfMxI+0FuaU/RzxXu9Bc94lJ+erRn7RCRgpj3iCh7xRVXjHBxypYy8DPc6k9/SZm5ScMlG5kaHn9NN02ba30ieU7lt3OdvpyyTNNENzf+YA3H4KrMyiJOnVVDhkUiOXGrPpAwOZXn9QMe1829RC+drHyty+DOqh+WPEKSVU9s6i5plcVaS3pyIbLkQW/GHdcsnVmbcVMWa7eQV9JEr/slwwg77Ca47fY+YJH+FmxTr67Thugnm/zi1jqpZRCfdhS8xaf/xJVevP4tTQjW6FeH4ukSRg45mrnMvCWu5lHLsV2/9Mkz91zLKCzXXEZYrGtzZNp54pMmctUlMzXujZGu2qlcroOb8rP01zzJua/qRkY9t2kEGoH9R2Dex5pb239Y96SxR7s9wdeJzwUCFrUskwWKBQ+ThRq/8YacR0PuuOOO8a+xD25YtFuwWxyIdzLAAoE/C4EsNLKIsPAT1qYRaAQagVVGwJiYjY/xLGOaMTIneFJ+cggFY6I/hZy0c7IO0YAwMm4aPxkbK4+nMk7gZLMkvxALyI0eJwdEK/2jTcTEn7aS8LjqUx1HLu1L2wkZkbjoiEuWcc2vDUmX+dXpTX7EevIQjwRFtCFBzdXapPYpP0QHUkBblkab017pQnDmD0ynQekWTy4kiTAmc7qy8ec6bu6By9BR3YRHbkSWH/Ks+0naZbIl2aZe6YNdXetIlDz4yeWaX99PXUlHh3g2hIl0TAhGBKd6cO1dm07VMd63+fnPf/7UH8ROWsLfOwkvuuiiEc51jdD0pzKXDEIIvkzyVjbvalQ/yoYwQlxzrc1yHyPR/KfemzDXMbCmTxup7YPe4JX6T5p1dmHhpO1OTNpRTaNOaz3wJyztjHz6Ah0xZJGcXJZM+rl65I+88lqn+7NOffKnv56Lek3bVG6ksTbHKouw6vLnOmXOPQcLfSQmul1Xf+KlhQHDXw15YbXf8zPC4RYZYVX/VJf4No1AI9AIHGYEmuw8zLW3ZmXPxG2Ct1hgsjDKQjn/DCfOqREyFt4+XMR6bEeYxbuPF9kMRU/e42RRIo8sArhkhLdpBBqBRmBVETBOGSvrpsVYZmxkjHfikBzGQkSScfC5554bxBIZj+QhjRAOMcY+aZkQB3TYiCJEuAinyCRdu6uBgDqvG9yUqraThFVXvapnctlcawus68yR0ggjp/1ph6z4kBnaYc0vfm78ZJDpdMmb37yNAEvbRiyElEPUJ72w559/fjzmqj0rn7LI3xrA/J4yIhZs+snkyY4QKdqwcNfkWXpY95P74IpbZFImbsWo+hel2yyMLuXKPUxlg7c8+JnUBVc9wih9HzEDS+NACOTE5/Rc1eV+4faud71r9HN+9QM/+Or/sEY0h6xUb2SCtTKlHoOteqHDNey5IbrIus59c+GwyJBTRjoiE3l63C+9/Glji/SsU5h2wcAk1rV6hyGb9p56SBvmsnCNbFw64ufmmpv0I3D+o06EySdGvTFc5WLoSR2TFed6ryblW6Qn95gyxE147oWOtLvoS9lSbm788opc8s34UnXzJ8/IVT3Vn3TyTT5wynWV5Sev7ug31pLVp2s9JM92G4FGoBE4rAg02XlYa27Nym1SzkLdotiEzJikLZScQnDCIIuNyHu3j8W3kwbibYycGPHRIu/8cWLBRv/6668fC/Trrrvu1LujshjIAiILjixg1qwK+nYbgUZgxREwVtkw2bjw27TEIh9CXhrLEBxOy3l0nWtM9Cix93N+/OMfHxukyNNl3EMQMDaZ8kCQ+NPI+GscFm8MbrOaCJjTYqo/YVNXvdsMmze1I+2BuxnJkDaoPbDaGvlYeQjTTuucWudVJ/rYvNtvWi5tT7tLG1a+kydPDsKea073qLX2icxHxN1yyy3jS9/ySVt2P9YSCLmcUMzjqNYNyqDciDo4sIw4OHC1d/Gup6auIcSlX07ltntNn3xgzMIvOrlswuK3biIrLWLz2WefHdjByVrIx6P4sx4K+QEP5CVsrJ/yR4a10u///u8PffDT58lyrc22MsqnXtQ/7GFX61lZlcEf1SFeYUx3bUOL8knd0lnLIk9t0f1rN7BR9trmFuk76mGwnrab9Fn3rs3AXDsPCVbbufTqUl2RZWEqTVzywpcZ+asX7UG9seo7a/xl6Wq4+mV3a1LuWk7lYbhs8uB33wkjIw5hb7yoOsTtxKTPJs/kIbwa2MK14ixMuZQFhsrBkmGETQ1Z2NOvDuFOb63jaZq+bgQagUbgsCHQZOdhq7E1Lq8JOAsgC6xM9iZoC22TvYWaBYI4E79wfmHiPZJp8W4DZHFv4Wth7ZFNMt7fSV8WE9Iyrtm9LGTWuOr61huBRuAAEDA+GbOMVcY142E2qxnDkB/iPKL6wAMPjM2Ojc5VV101O3HixDjRaQw0HiIxpZ9ugujIpsoYS8aGSf7i5JWx8wBuu7PYZwTMnbHqNsQQvzpW94nnMsLVu2t1nzZDluGKJxdZLsNdpC+yQ6j8ZI63HjCna8/IBo+xIz7N6+Z3cjbz9CDkEGC1vFRKaz3AMsrITPPOtXuTL/IALnS611hy6YP0JD9+5YEDmd0YuujIOkfZ3auwEIP6n2tGPu4nVvqkFabvIrKcnFUu1n0pv/AQwEgcfvWP9GTpJktOeMq22b2JIxeM+ZWXm/KmzPSSM67QLy9x7k34onyiZyh77Yccm3rjT1uscuvqhy08YRKcK47ihMMvRjz5kHBZl8OWfOqHW410U0uPumbkETuVEy+sGvkxybfG7cQvfXQlXa6Vhz/lUd74Ux4uGW056aZ6anj8cSMrL5hx5ZO8uNVIN8U5upRlWmZh0TFNa/zSp9Lv1XWbRqARaASOEgI9qh2l2jzC92KCNgmzNubIzmwu4gpnGYsviwHEJmOiN5lfe+21Y7HvYxw2QzY4NgsmfJuiG264YaTJwoGOLA6Gov5pBBqBRmCFETDOMcY1BIixzRiWDaWND8LDiS5fXc9G9f3vf//szjvvHCfcpZGWjDEQKYLYQXhIj2Rh6CQrnpHGGCzchqvN4UOgbozNm+oxZGfuxuZYXFxp0sa40qT+xSFFyIqLTTydZJJvlSNDfmrM+dq59ujUZtIq09Qvfd7/eXJ+gjHkGiLfnK+98jslyu9pD+GVSOQP4adt83MRrKxywIhff0n7n5bdvSnfNHx6f4uupdNvrX30bWVSbn2U31Ms4twfHKyVlEVZYeVaP3VKU1kRllyvq/BeTSdac4pTn4a9NMrK0sUknH96H8oYK56pMvziU69pP8rLCI9VZvUcIy05bSkyVXfkpvknL/fCureUIWnW1YWfeoVRDGymhlywDr7qIetwc0jik3Z6LV36p7T8LLms15OGG3ky6TfJO3Jpk+o1817y36sb3fRUf9WrPDH6ZsaWlI87teRrWNJzaz0kvOaRMG7ySFiuyVd/sAsRK04+6dvpD1M9uW63EWgEGoHDjkCTnYe9Bteo/JnAs6jJwqCGZ2FAJpM6iPizsHb9jne8YyzwfRjBY5x5HE46j1R5nB0xSp+Fjs2EBZr4ugCni6GbjHzIW0hwUzZ6sthQ7mWLp1e19W8j0AisMwI2eNkQwsF4kTEtuBhzmGxuMqYYy2xCjUHIF64xBzFiQ+bxXh8EQZIgZYx3Tsd5PJUb8pOLADGGkTPu8bMZAzPOpUzklD1jc8LbPVwIZN5KPaZt5S5yTU77m7bBpCfPT09komORG71JV/VUeeGJSxlr/NSvH2ib3iWpXykLYjMERUh6c7SToZnv9aOsGyJLtzyVlRvrml7tXzrG9X4aeSBWERTKpe9ubGyMPF0nP3Lpm+5bGeElnadYhAWTEMYhbBGi0u/UyDv5Sxt/6in6ci0PWJHjCmeFs7lOOq6wYM8/NYvCIpO4uAk/zO5+3MtUx/R6ik/i1YN2lHY2lZteSxcrTepeWNpnTSO8toO0J644Ji65s2mSzzSPGh4cavnIk6lyy8ISzq1mmrbGLfJXeX7YKJP1A5MwbmTjLtLXYY1AI9AIHHYEmuw87DW4huW3qFi0OEo4SKaTtwnfZsCmhuuRTY9uve1tb5s99thjs6985SvjwwY2OjYQNgLIziyibHRsjmwWstGv0NtA0U0+i4qpHB3io7Omb38j0Ag0AkHARtB4YVxhjHexVcYmJkRBxh2n2FiP9OZkOzknv4Q//PDDY8yjW7xTXcePHx9uHZuMp4gRJhujjKsZ23KdMqUMuW738CGQut6s5NrJtO7JLwoTru1OSQDhMTXP6Igbmb24dCE6tWflYLixIV5cV3/i3a/32epDiFB90zoCqekaScqGHNW3qp6UvfavhG3XdQ/WH/6ACIHpDwknN+GLpNQv9UGuMGnY3IcwaULMiFOmaoXtxiSvnaRdhseyMgjPfS3LZzflWKbrMIQvw+pslj31oC52YlLfXG0yZtk9RC7pIj91l6Wfyp3Na32q3tNmeR1UeVNPylXr6qDy3wyDjmsEGoFG4KAQaLLzoJDufPYNARP1osl6WXgyThoLp5CWFihIyo356QjGqSiEpy+6etTdpsJmgrGJoCMnNOlJnvzZQFhUWFzY8CRP12TYNo1AI9AILEIAQWLcQKQYO4wpMcYdccYSNuNN4pNOuMdTjV0MYsZjr06wv/TSS4O0MeYhR/yh408fj7Ia5+RJd8a1ukFKPtyMazVss/CpXF8ffgSWtYFld7Zd+e3KLctnUXjm3r2Q8fqTP0FDbuqj/LnWz5Cd+rC4RWTnXu5NWiRm+rZ+bh3jDwv9VP8N2SkufTfjRfp1whfhdNBhO8Vjp/IHfT/rlN9e62K76bcrtwrYr2pZV7Vcq1BnXYZGoBE4+gjs7i/co4/LOb3D+aL09F+e57QkRytzmw8bE/A63RDiEUng3Z1Obn72s58dZADCk3Hi6dixY7ObbrppvOMK4eB9Xjk9waVnupggJy+6GTLIhanciOyfRqARaATmCBgzPG5uXDFeIC0Y5AnCMo/eGkc8ch7yRrxxCdniHYZID8a1E2lOcz744IPjRCfSxukwr+q45557Rh4eYc34SLfxsU0j0AisFgLWFcYBfRRpqf/rz67ZNo1AI9AINAKNQCNw7hCYz8U9GZ87+BfmfPrYyMLoDmwEjhYCSEdkJ2tzH8ITqYAgQAI4ocEgFpAFPmTk8TXGxiJE6WYnJIx1dGbMizuU9E8j0Ag0AgsQMB4ZY4wtGTPy31fGqITnj5SMM4gPson3oRXjFrLTqU5EqpNgHuf1kZJ8UVkxkof8k35B8TqoEVhbBNJHABB/3BrGn3407UvkaxqyOzFZs9CfMSL6pnlFb+Jd85NbJps07TYCjUAj0Ag0Ao1AI3AUEGiy8yjUYt/DthCwQUBoWvAjCrLgRxbk3XROO3kszHs8nfZ87rnnTn2R2EkqHzTyLrwYurKZiD5xdNqMJE5YjXfdphFoBBqBioBxIyfAM15wjV2ISoSmsctJTqe8WI+1SudPGEQpWcZrOB544IHxSg4ugpOOG264YXyMyB878mLkweZE6Ajsn0agETiFQOZ6LtKRSRh/+mn6EndqEjcN3+61/pnT3NJsV18ts/FhUdm2W4aWawQagUagEWgEGoFG4LAg0GTnYampLue+IFAX+TYsrDBkgU2A99d5pBNRKczpTo+N+YKx01FOel5wwQVjk5MTntLTk5NWNhZJH+IhhRdXy5DwdhuBRqARMDZkPMlHUBCaxhPjDaLDmGK8Ec5kHMtY8/LLL4+x6JFHHpk9/vjj4z3EdPrwmg+yeU+nd3TSJ9y4RZfxjhXWphFoBDZHwFweM/Uvm+erXNLu1E0/l44+/X8rk3z17e7fW6HV8Y1AI9AINAKNQCNwVBBosvOo1GTfx7YRyGI/BKWNQB4dddoJ2YkI8MJ/JztffPHF2dNPPz1IA3I33njjIAWckoouJ6189IOhNyeskBQx2XDkut1GoBFoBBYhgHw0nnj03B8uTnSxISPrWGK8Mf4gQYxHP/7xj2ceYXey09hlDPIeT0TnO97xjlMfIyIvnTy879N4lo+xLSpThzUC64xA5noYxJ9+mGt9kZ8bucS5Jp80Q2CPP1Uff80r/urGv8dsO3kj0Ag0Ao1AI9AINAKHAoEmOw9FNXUh9wMBmwGb+2wKQg5U3UjOnKBCEti0kPcV41/84hfj0XYf+/D4J0LC11k9RmoTkY1EXOli5ZF8E1/zbX8j0Ag0AhkjuIyxIuNUxi7hwvJHSv0KtFPojz766HhPJwLTOGWM8gqOq666anb55ZePa6QpE3KGPn7EZ054DoH+aQQagYFAnbf1l8zt6auBqcolrLpbxVfZZf6a59Q/1V+vq3+Z7g5vBBqBRqARaAQagUbgqCDQz6utYE3OF6+nn49awfId1iJ5XBMZYFPvpBOyYAp13QwgM52Q8nXkhx56aHzs4+TJk+Nxdu/ufPvb3z67+eabx3s8pyeiEBMhSvnpRSLIk7/mc1jx7HI3Ao3A/iJgrDBOVTJTDsKd8BTuzxhjibGL9SeM05xPPPHEqS+u+yjRBz/4wTE+vfWtb52dOHFiyBp3ko4OJ9Bj/vd//3eMj8J9xKhNI9AILEdgunaokmd7fq95Z50h/6wtkn/cWrb2NwKNQCPQCDQCjcDZQWA+7za3dnag3bXWPtm5a+g64WFDwPiDLKhmszFJnHfkebwTOWqD8bOf/WwQlsgHxCky1GPvrkN4Igty8sNGhJF2s7xqmdrfCDQC64uAcaJaSBg/jCl1DEGKGneQlAhP1h8z/lBx2tyH1oxbTnciSJ0ApUca41LVJQ/6p3kIb9MINAKvnoKu8zh/TPprwqpcZOJGJtc7cZNP0kSX8Pjj1jD+No1AI9AINAKNQCPQCKwbAk12rluNr/H92siHkMwjoMvgyGkJ8shM7/JEEjglJa3HPX2x3YkqhKgvHL///e8fcQiGShwgGZic6lyWZ4c3Ao3AeiNgjDB2MJWgEI7AZMQjNH7+85+P054//OEPx1j0zDPPjHd03nHHHeMjau973/tmx44dO2PcMYZ5F6gxyZ840Umvd4IiSGu+wts0Ao3AbLy2xryfPwr0k/SV+OOmD8MtYfz585N/N8Y44M/Umm/IzaxZ6BUWGdfxT11xbRqBRqARaAQagUagETiqCDTZeVRrtu/rdQhY6NssMDYGOeHEH5KBSy6bhZCWiADmiiuumB0/fnw80u7L7E53ejcewvPCCy8c5MHGxsZw85GibHyyKcmGYyjsn0agEWgECgIZf0JeZLwwjggz7hhzkJtcHyFyolP8RRddNLvmmmvGuzkvvfTS8eeOcY6lhwyyxFjE73So8MQZx5JfKVJ7G4FGYI5A+soiF0A1PIAlLPEJ342r32YdkfTTsFzLd2qEZQ00jevrRqARaAQagUagEWgEjhoCTXYetRrt+9kWAt7HmQ97IAI85mkT4BSnDQEiwKaBPy7Fb37zm8fX2H2wCPHgPXlOWD377LMj/QUXXDCIz4svvnjIIg9YOshHN7dNI9AINAKLEDBeICKNGcaiWGOVx9Z/+tOfjg8R/fKXvxx/vBhPLrvssjHmXHfddeODRHm9hjT0GN/8acN1zXoPqGv6kaD8PTYtqpEOW3cE9I8YfSQ2Ydz0nbiJy7V+theTdUR0uGZj4p/KiReWcSTlSbp2G4FGoBFoBBqBRqAROIoInF69HcW763tqBCYI2OAz2ewjAvLuOxuAbBb464aAvDiPfSIVbHyEOWUlHOHpI0ZOdzrRKdzGAvmJQCAjjE6EQ9U9KWJfNgKNwJoiYJzI2MRlhBmj/EHjncFenfHCCy/Mnn766fFIuj9qjDu+uH5s/ti6j6f5U8YYQweXDi6bU+r0sYzwkKIhPkdE/zQCjcBAQL/wxyWTvjQuNvnR76qRbi+GPv10kVmmu5aBv14v0tNhjUAj0Ag0Ao1AI9AIHBUE9rbyOioorNh9zBejZ66QV6x8h7U4Nv55f2Y2Ldk42MjYLCAmFxknoBADIUbJITx9FETYt7/97dk///M/j6wyM1YAAEAASURBVDB6brnlltntt98+vtjuy8bCyMrHiavkvyivDmsEGoH1RMD45J2axhfv1MwfJU5zPvnkk+M051NPPTUIT6SlMcg7Oj267l3BSM+Qlt437I8X04mxL+HGoox3/LEeiZcPnfS0aQQagdMI1GWZPrPIREZ/46+WfPraorRbhUVX/sCIrqxZ9GkmZaj6yCY86Wp8+xuBRqARaAQagUZg7wjM59jFC4S9q24Nu0SgT3buErhOdjgRyIbBWGRzkI3CVndjg8GG7EQi+MpxHgtFRNCNEM1X2j1i6jSnNPLi5pH2rfJbFE//XsfQ/dCxqGwd1gg0AntDIGMTUjL9nCtcmHHFyU6PsDtJ7v2cxpU3vOEN4yQn15hk3DEOScdkrAvZGVJEeB3/yBuj2jQCjcDuEUg/nrrRmH6Z6524SRtXH2aZqTvVm/hpeF83Ao1AI9AINAKNQCNwVBFo9nkFa3a+kO2TnWepXhCWTDb8281GOtUSKx0/PQgDp6I8XvrKK6+MU57e6fmTn/xkPPZ+4sSJcVLqd3/3d8dJK6dEGY+f1nLQV/Mh59omRR6I1TyCKr04BAYdZGLFxdCJwHBiLOUl59RYm0agEdgbArXP0qRvpT9WzfrptK/Wvq8v66PC9HV66fLhoS9+8Yuz//qv/5r96Ec/GuOME5yIzt/5nd8ZJKcvqEvnRKivRbv2Z4wTmnTE0MkywmucsJRReJ88h0ibRmB3CKSfJXWup30u8dt1oyfyi/px4tptBBqBRqARaAQagYNFYD4vn154H2zWndsSBPpk5xJgOvhoIlAJhp3c4TQdApFNuEdGr7322kE+OHWFqHz++efHKSwfL/J4KAI0xAQyIe/1pMPYGF0pl40NEkQ4PzIieZIXl2sy0VPH2RAYZNs0Ao3A2UNAH03fS3+Lqx+GqEg/nZYkfVwaf56wTnJ6Nyc/ItM4U9/N6TQngyjNmIAsXURWik/5pnm7lo5t0wg0AntDYNrPpte71b5fenabf6drBBqBRqARaAQagUbgMCHQ7PMK1tZ809snO1ewXhQJEYG44HpU1ElLxIJNiGrzqOlzzz033q+HpHDSkxwSwYeNjs0/IHLbbbfNfK395ZdfHgSGU1h0eJen054hSBCZ/MgRxnXydGrLdUgO+QuTTzZEIU+4UzKUbJtGoBHYGwIZqrnpZzTqm+mf3IwT+mFOXKafpgT6uj9F/Fly8uTJ8WcJvz9NjBFITtapTu/U9C5g40YISvnTaQzp/h1U220EGoFGoBFoBBqBRqARaATOPgLzdXhza2cf5h3l0IzHjuBq4XVHAKGAlOAyuc7Y5mvtV1999Xh8HaH5zDPPDOLTyax77713PNp+/vnnD1ICkYGsdDoLmcEyITfrI+sIE3khO0Nc5tRm8ubGpoz0Iz7YkLIjk/5pBBqBPSOQvkdR/BkT9FX9j9Vn9Wcy/JHhxuqzHlf3AaIHH3xwjBvev+k9nKyPnl1//fVjvNCXydJNp2skZ8aQPd9YK2gEGoFGoBFoBBqBRqARaAQagUbgECPQ7PMKVt5889snO1ewXhRJ1SAlpn5hCElEBuLBY+weU/cxEY+xIy18sd2jqEjKK6+8cnbXXXfNLr300tkFF1xw6kSm9IhJp7VCWNKD1KCXzelNZaErJIu0rDBlkV5+9CFaojfy4yb6pxFoBF6HwHQIznX6TtxpQgSn/keejZw+m36rj+bPC3+CGCuky6suHn744VMnwvX3fGn9pptumr31rW8d/VhfNiZk3JEP2foHybRsfd0INAKNQCPQCDQCjUAj0Ag0AmcHgfl6vLm1swPtrrX2yc5dQ9cJ1xEBYxjSIibkBvKCRUKwTmvmxCbywyksRISPFjm19eKLL87uvPPOU6e26ENq0ocMSR7IDKQG0hKZMT25Ja+pkYYJ4eKaDWEzle/rRqARWI5A+tFUYtF6Rj/LHxD6sP6pP09l6TRe6Ns+LMT1h4hxwrt9hXmthQ+Jef2FseTNb37zOL2ZchhP0qflO80jcu02Ao1AI9AINAKNQCPQCDQCjUAjsG4INPu8gjU+38D2yc4VrBdFUjUsYoFNVTmd5WQWcgNBgZjkR0KIQ2b4Wrv3dDrpeXL+Tj5+BOeNN944Tmzdfvvts7e//e2n9Msv5EnIVGQoEgTRsYzcUCbpuNJxU046peuvsUOiTSOwGAH9h0k/ilT6XCUwE0ZGf5NGfGTE6+f+sNBva9/zXt9HH310jAef+cxnxrs4nfo2Jlx33XVnfG09f3QYSxgfK5KHvk23L7c7Ker1GV6nUcs1EvRPI9AINAKNQCPQCDQCjUAj0AicFQTma+/m1s4KsrtX+vpjYbvX1SkbgSOPAGIhZIbxLGMa0iHGya6QHVzkJIuc8FERj6IKf+ihh8bHRxCYV1xxxTjB9ba3vW2oQZZWHfw5CebdfMqRvCWYkplOlUVGeWITFjdlbrcRaAReRSB9aeoGH/1uWf/RT5naN13ru/o5QyZjhPf2+tPDSW9/gOj3TnEaB7z7941vfONIIz/pEZ35A8M4JJ9Y8f5YobtNI9AINAKNQCPQCDQCjUAj0Ag0AuuMQLPPK1j7841tn+xcwXpRJGQDUsGpzZy0Eo6AcLoK8YDMCAFRyQ8kBBmEhC8sP/DAA+PdfD/60Y+GvMdVneY6ceLEbGNjY5zyQloiNeSrWdDhdJj8cy3/SnxIwyacnHhplVPZ+uTXgKd/GoEzEMjQy51agvoOU/t4wkbE/EdfM0ZknKh91QnPV155ZXy4zAlvj6x7fJ3xZ4g/QowBV1111Tih6Y+NGP03VtnolTeCVLhTnfQjSDc7+R197TYCjUAj0Ag0Ao1AI9AINAKNwP4gMF+XN7e2P1Dum5aukH2Dcv8UzTeyTXbuH5z7qglRySI6Qxiqrjq2IRRDSshcHIsgYZEUDAIT+fmXf/mX49H2F154YbyT77d+67dmt9122+yGG24Y7/QkKz1SA4mBTGGSj/zlx5Ajs4jskE5+5JW9TSPQCJxGQL9gmbjxu9a3Es4fS4Y/svoi0tE4kS+kSyfMO3t/8IMfzL773e+OD5b5U+KSSy4ZBOcnPvGJIY/0jK5pfiPitR/v9dSn5ZExpca3vxFoBBqBRqARaAQagUagEWgEDgaB+X6gubWDgXrbuXSFbBuqgxOcb3Cb7Dw4uHeUE4LRiS2kZU5PUmBsc63qWIQHOa44Nie8EBRkhHH/4z/+Y3y1/bnnnhtkSMJvvfXW8aV27/Hc2NgY5GbIDcSntNGlDPJSPuUQnzzFMWTFM8jQNo1AI3AaAf0pNn2QywhPGH/M1O+9vf7E0L9CQvJ///vfH9YHiJ588snRP/VTj6t7hcVFF100e+c73znGiLzT0/ihz+rXZP3BYtxh5CsvcfQbW8iwbRqBRqARaAQagUagEWgEGoFG4GARmO8Vmls7WMi3zK3f2bklRC3QCJxGIKQCkoGNCclgjGPFISSQFawwMvxOeCEtnOCi7yMf+ch4lPWxxx6b3XvvvbN///d/H6e//vM//3N2+eWXj8dSjx8/PvvFL34xTovlhOeUcHVqk0m55Ed/TMqQ63YbgUbgTAT0WTb9mMuEZNR/mfTt6grXR/Vv5GU9Pf3444/P/vEf/3H0c39qfOADH5i9+93vnr33ve8dpzoRo3UMQXSy+XNFnH6fcshXXPp6yhwdytKmEWgEGoFGoBFoBBqBRqARaAQagXVFoNnnFaz5+cb19NGhFSxfF+lVsgPRkNObMEFEIEcQjFzVGOsaEeFaOqRJqtk14gJZ6X1+3uXny+3e5el9fueff/44AbaxsTG7/vrrxzVyxEeP6ntDo5duVp454als8gtZ06RIt+JG4EwE0m+E1v6hH1UTuZCN6b/6l3R5Jy+C09fW9Wlh+uAFF1wwyE1/Ynh83Ts6zzvvvDPGjOinL31WGTK+CGPSl8UJS/83Nuj3bRqBRqARaAQagUagEWgEGoFG4GAQmK/Jz9w0HEy2ncsmCJw+9rWJUEc1Ao3A6xEIgYhkYI1vyI64/GQYZETGP2QoosQ797iIELJOel544YWza6+9doR7h+dPf/rT2X333Td79NFHx2mwK6+8cuYxV0SHx1cr2UkHS2clRFLOlGMUqH8agUbgdQik3yQifTbX3BqmH6b/87/pTW8axKWvrH/961+ffetb35o98sgjs/e85z2zD33oQ6Nv33PPPWNcSL+UXr76M5eejCHJS3j+WOEXTj7jiz7vzxIW0Zk/XGq5298INAKNQCPQCDQCjUAj0Ag0Ao3AuiDQZOe61HTf574g4H18LEIB2ZCTkwgKBgmBjGCZ+LkICfEhOaRFTiYs14gKJOYdd9wx84V2Jz2dDvOOvi996UvjdBhZxKevNisHkpQuhv6QIK5TluQjrE0j0AjsDgH9iK0m/fzzn//8IDf1VTI333zz7Oqrr555/+4tt9wyvrCed3JKLx2y0/jhTw+GP39c6Mfp1xkryKQvpxzkjAlM5MdF/zQCjUAj0Ag0Ao1AI9AINAKNQCOwhgicuWNbQwBW8ZbnG+B+jH0VK2ZeJo+Vs05hvvGNb1xIejhdVckI1YnAcJJTOFICQTk9fYUMRXzE5NSmd3f6wIlTYl/4whfGuwARGr7W7qvtiE5kincE1tNe9Mi3liXkSPLYyk1T3Gm6rfR2fCMwRUBbO5ftLCc0lUs/WmaU0ylL/dz7OWOl/4u/+IvZ5z73ufEuzt/8zd+c3XXXXTMfGHvzm988SMicwDQGsLlf+ny8KOSmsUEfZzMOLCtPDT/XGNaytL8RaAQagUagEWgEGoFGoBFYFwTm6/rm1lassvtk54pVSBdntRFAUHhX5mZkCMKCzXjHZUNaIDASV+9WmmoQFyEvfPDkpptuGjp+9rOfDeKUnueff36Qr4gW7/9DqnjHJzI2+SI8c6o0eSevReVIGeQtXU6a5Z6SJmWL/HZcaaqJrhrW/vVDQLtA+GkPtZ3tpn3QFRskozPX1dW+yXPZzfLMHxL/93//N8hJj6sjKb1j18lMX1f/vd/7vdk111wzTl47xRli1JghH0Sm8vBX412bwqe2ymzmn+rbTLbjGoFGoBFoBBqBRqARaAQagUagETjKCDT7vIK1O9+0nrkLXsEyrmuRVA2LENmMFFmET63WnaRFwCAz437xi1+cPfPMM+M9nr7sjFBxqtPpTh8wOnHixOyKK64YRZCnE2g5VZqvPudU6WblQOw4tSa9PBClCJukUabNSKRlGLgPhr42jQAEtCWPfmtP/lDIyca0tZ2gpH1p95Wo19aWtVV5k408OX9oLDJkvMbi5ZdfHh8fevLJJ2c+ROTUtVdN/PEf//Hsox/96Mj/DW94w3iHpz6n/7gvRtmqTT7yZeo9V3/k2m0EGoFGoBFoBBqBRqARaAQagdVCYL5ub25ttapk1hWyYhWiOPONcJOdK1gvq1Kkp556auZE2cmTJwfhgiRCfjrNiVjZ2NgYX3z2lefjx4+fOkmWU53G4VikEuP0GdLH6TTNjx7kTIgjfmSMvEJ+VkKokjdpvvIIwZT8IifPhPG3WW8EtDMkIhNiMoikDWovTNzEa1PC0taEC0u6hCdMOxc3TZN0wnMKM33CnwXsE088MfrAiy++OE500kMm/eNd73rX6Ht06UN5tUROcwpnpGOrCfk/vb8q0/5GoBFoBBqBRqARaAQagUagEVg9BOZr+ObWVqxa+jH2FauQLk4jsBUCPlp0ySWXjI+dcJ9++unxESNEzE9+8pPZpZdeOkPGON3py+5IScQLg1BCzjihhgRCsCBdEJgsEhUp5KvSTqYhaRA5Gbv/53/+Z5A83hOKXJWWPJ0sP0uezQk9eScsuoS1aQQgoC3m1RBpH2lPiHhtilnUhrRB4doaGxk6q6FHu9fO+cnJU/tm82dA0kQn/Uh+r49wglMf8YcDXceOHZttzP9c+PCHPzz6I1nljt6UaVqW5FHd9Jsa1v5GoBFoBBqBRqARaAQagUagEWgEGoGdI9Bk584x6xSNwDlFIMSld3QiU1w7dYbg9Cit05lcj6B/6lOfmr3lLW8Z1vsEEaHkQ/YgZhA0yBiEj8dtGe8XzUkzpE6IJ3J5Z2lIJfL84hA29MW4jq3yiW+3EQgClRDUhqolI56dtiPXDLe2P/6YxHH1GYZfG48lr63LVx9ivY9Tv3rppZcG2eljYfrClVdeOd6Pe/nll48/FfRF78r1Z4K+FQKVW+8r5Un+KaOytGkEGoFGoBFoBBqBRqARaAQagUagEdgfBHqHtT847quW+Qb49C59XzW3sqOEQMigkEC5t+985zuzT37yk+PjRf/0T/80iE6nQe++++7xTkEEDYO0ccoN0YIADQkUPYgf5A0ZxI9rH0ByonOZUSZyTJpxiJycnHOdsGV6Ony9EUjb0560FW0ccThto0FJW2O1aWnTN4RJq+1Jy9a2Jz7X/jD45S9/Of4kQHAiNh966KHZY489NghPfeDOO+8cHwL77d/+7fGKCOkZ78710aJ8JKzqTRmrq3xJK1wZUo64Vb79jUAj0Ag0Ao1AI9AINAKNQCOwugjM1/DNra1Y9fTJzhWrkC5OI7BdBJAlIU1CCiF1kJEbGxvjfYHIGY/Uenegk57333//OKXm6+6IH3FOc4Z4Qdjw51pZIkd3TqlFxpg+HdfrdfUnDZ30LEorrs16IoCoZNJmahvZTluRPjqSVpuTNtdBVrg+E2KUDKLTh4f0geeff372i1/8YpD8+o5T0WSc6LzgggsG8Vrz04/o1FeY5Jv8lrl0VjO9rnHtbwQagUagEWgEGoFGoBFoBBqBRqAR2B4CZ+60tpempc4yAvONcp/sPMsYHwX1yBYnL5E2XKczWeFOYyJyEDdOpt13332zb3zjG7Pvfe97I/zjH//4zAnPX/u1XxsfVHnjG984iBqySFGP4tJ18cUXj5OhaZLcWPkikWKnmJJD3kSeTn7lQ5wiiKRt0whoS05Oai/ahPbBVvKv+qeISe9kJh3IyZwCTZq40qUNao///d//Pdq6cF9V/+EPfzheAeFPAcQlXdddd93sjjvuGEQn0lO4Nqx/0cV4tcOiMo/IyU/6g2DlqmWbiPZlI9AINAKNQCPQCDQCjUAj0AgcAgTma/rm1lasnvpk54pVSBenEdgKgZxGIxdCCAGDJEKk8LMMEhMxgwxCYhqD87EVZA9S1CO7eTzdKU9pc+ITaUQnWXryDsKQPSE6lSPEZcb5qUtGOZjIjov+aQTmCGgvbNpUroGjDWpzIQq5aV/kXXO1W+1XW0s6rrSMNAhRfcAfAc8+++zMR7dcey/nj3/849HWb7zxxnHiWf+5+uqrh3UaWvtPvlz5MjXPEVB+UuYSdMobXacC2tMINAKNQCPQCDQCjUAj0Ag0Ao1AI7BnBJp93jOE+69gvjnuk537D+uR0egEm5OcPiKUDwohEREni8gTRI4TbB7RZT2e+7nPfW6chEP40OOr7j5k9Id/+IfjMV1fYhce40MtiFHhTrvxI09DtnIRPvIP0ZS0cdOs4zbhGWTa1Sa06bQfbaO2ZfEId0R/yP5FbS/ppEVwstHD1Ua1Zf3AR7y83xbJ6Z2b2rT+hPj/2Mc+Nl4Hgew877zzxiln+elH9AjXD2q/Sz61NkPuK3/aPblqq3z7G4FGoBFoBBqBRqARaAQagUbg8CEwX983t7Zi1dYnO1esQro4jcBWCIQoQaTkMXb+6aO7yBXEkNNuiMw3velNs2PHjo2TbMgdxA3CB3mKuPzpT3863ukZgifEJlIneYag5CJ/cr2dsT0ycbe6z45fLwRCXoawzN1rx9o34jJEZ4hDMmlPidPe6SIjDRLT6c18fEg7R3Zq99o/ElUb9y5OpzcvvPDC8eg64tOrHPQrRhnokV/avTD5hOgfgvMfYax4NkbaahPebiPQCDQCjUAj0Ag0Ao1AI9AINAKNwP4h0Ozz/mG5b5rmm+Q+2blvaB49RcgThElObLpGVp5//vmD0Aw5g8RBaCJ+QoSGBJI2enx12rs6X3jhhdlnP/vZQehAzZelb7755vFez1tuuWWQQPTIO2QO/9QsCpvK9HUjsAgB7WrafkLoIy61WW0Y2Yhg5LLauhObTi0jKxGVwvULxOYjjzwye+CBB2bPPPPMIPXp1F+8s3ZjY2N27bXXDqLTaWbp5MWSE+aPAsQnQlUZxckTkSqMLiSrsisjS4Zs+pk4ukOMTu9zER4d1gg0Ao1AI9AINAKNQCPQCDQCq4/AfG3/+o3x6hf7SJewT3Ye6ertmzuqCIRQcX8hHpe5ZDL2Ssd4VJe8cK4TbgjQkKGIHNdOw/385z8fRBKSJoRO9dNHT6zrzYz8mJRpM9mOWy8EaptIOwkC4pCF1Yojh1hMn3Bi0zWrDTvJqX0j/r22Qbj2i8R0ihlRiSBlhdNHljstj7yFpx+lbAkTP00jjqnhSVfdaX41rv2NQCPQCDQCjUAj0Ag0Ao1AI9AINALbR6DZ5+1jdWCS801vn+w8MLQPX0Y+ouIEG5LG6cucNkNQ8iNzNCHE5a/+6q8OcgjRgrR8+umnR/xtt902yBcn06RjpEEUCSP3xBNPzJ5//vnxPkMy9HrU97LLLhsfbLn99ttPfbDFY8BOvskz7xGdIosgkgc9SCGyWxFAUx19ffQRCGmZdp3TxNpKLBS0U23JB4ecwCSnTX31q18d7+H85je/ObvvvvvGl9K1zVtvvXW8xsFpZV9YJ4vwpINN/0F4Ij7lpb2mPGScFBWuvUubNi1cvLavHNGZ+BC00tI/NekX4qeE6VS2rxuBRqARaAQagUagEWgEGoFGYLUQmK/jm1tbrSqZvX7XtWIF7OI0Ao3AmQggSxAqIU3ihpjhslPSxLWTmQiYauiKPifdpEUEMVzEjdNxIZU8Luwr1sZzpI+0SFCnRZFKiCLplKuO+fwhjqJ7ZNI/jcBrCGh7DDftVLupbVl7RIR6/QKSEYnvXZranHTeR/uzn/1spNcWvXtW+7zqqqsGSX/llVeOR9Zfy/LU4+jSstM2m+taDuVhqlvTRlZY5Oo9jMDJj/tNuklUXzYCjUAj0Ag0Ao1AI9AINAKNQCPQCOwAgWafdwDWQYnON8h9svOgwD6E+TjR5iQbMhF5GZKFm6YTF4GCZGGdXEMOMd5ByFRCKaSOMCc8PcLucV7kphOeHglGIrEIJu/4vPjii8fJOSflrrnmmkF4Xn/99adOvo1Myg/dyi8vZQ9ZVETau8YIaLfaSAhNUCDUqxGHeP/e97432qJTyCdPnhyPqGuvPsaFdL/iiitmb3vb28ZpS2HIeCedcypTGwypT3/6T3XlpY1qq2TTX/hr2yUnnXB6+Rnh0lT59LMhMP8hm35Bzp8HVXfk2m0EGoFGoBFoBBqBRqARaAQagdVEYL7Gb25txaqmT3auWIV0cRqBrRDw+CyLJHHCLeMqgqSSJAgUpGgIGoTN9BFz5MrUCDvvvPOG9cg6kvSSSy4ZBCjS00dekDiPP/74eJwegeqkJzknQ70XUXr+X/mVXxlEEWJWmDKzypxyuY4RHpuw6iY9173m3snUuJomMov01rxrmkX+yNJT/Ytka1jyr2H75VeOs6l/u+UMHpvJb1VO7SF6IisMua5tITid4ES6I+MfeuihQcj7AJFTnsK0vWPHjo2TnO985ztnLPKwEqbabkh/+WnvOR2d8tMjb1Y7IxMbmeqKqyblTxuNW2Wmfmlip3F93Qg0Ao1AI9AINAKNQCPQCDQCjUAjsH0Emn3ePlYHJjnfgJ9mfw4s187osCGgmbAhVpS/+hOf+0pc3IRv5oaAQjSFJOJnvTcUEcXvdB0iFLkqHKnqdN3ll18+rMeJEU9IWo8VI4cQWCGUUgbhiCfkEFtNZOWB5M37Ecm4V+UTzpLNfdJJF738CZeGXIzrmGBHdhoeGW50cat/KpO4mqbK7MSf8sStee9ET5WNrhq2E3/FcVG6WsaKRWTlrx2pn5xWdgKYvffee099Uf2pp54aRKXwjY2NQaA7vcki053e1L4QnMh2fnXvOkZeKW/KNS2TtkSOTVucykTfZq70zFZpkxfZabsX1qYRaAQagUagEWgEGoFGoBFoBFYXgfl6v7m1FauePtm5YhXSxWkEtouA8XSzMXWr+O3kE+LF478MAikGQYPkRG76aFIee3/yyScHqYlgcgoPcYSgPHHixCBylItehJM4lsm9iOOnP2Ehg6RBZiJKkWKVxBK3SKe0iE7u1ERvwiOzlRt55atlFJ7raVzCk3Yvbi33XvXmXvdSHmlhPzW1bNU/lVMG7aDKCKNT23Jy+P777589+OCDgwBV/04NI0e5G3Pi0ysVvI9zKyMP6TYzW8VvlrbG1fup4VM/ue3KTtP2dSPQCDQCjUAj0Ag0Ao1AI9AINAKNwJkINPt8Jh4rcTXf5L+elVmJknUhGoFXEUA45uQdkgqp6dFf4R419kixk3o+bPTKK6+Md38++uijQ867Po8fPz776Ec/Ot7zeemll45ToHn/5xRj+pFeSFAkVEg1jyLLT1i10qcLhUCqrjjphEmXuJpuWobdXNObssozpG7C6OSv18Kki3Ud8jduleFn6j28GrJ/v8qujFwkY65zP64RjtNHwReVSxrthh51wEWEazPf+MY3RnvRZjya7l2xZJwOdmLTu2CvvvrqcVpTfixMpHf/559//ql30e7f3bemRqARaAQagUagEWgEGoFGoBFoBDZHYL4faW5tc4gOPLZPdh445J1hI3C4EUBuxTpZyeYr7EgxBFbIT6cvEVzC8tEj5KfTeqxH0aWRnoxHkc0TiDOPvIfg4wrLdRBMOVxLJz5G3NREPnFTdzpHuSYzDZ/qXXad9OKrv+p0/9FfZZImulPWyE6vI7eVW/Mm6zq6klYeyWcqU+Wrv8pHj3tjtQGkpDoOGY70RFgjxbUXBKe2wUV4kqPfh698UMuj6k4H82svMT5KpG0tIlsj024j0Ag0Ao1AI9AINAKNQCPQCDQCjcD6INDs8wrW9XyD/3qWZgXL2UVaXwRCYAWBkF5cp/EQW1yPuCOjEFceb0dsObGXU6A53Ycoc8oS+emReYSWL7zz52RfSFVp5I/YlIap5JwyhGTjMsIiw015xSeOnLi4Vb6GD4Eim+ukq9fxJz/X/DH8KWPyEBc/t8qLm17DoJK8ZJYZaafp4VkxlWd0clOGmjb+6EJqLzLITASnd7v+5Cc/GaTmc889d+rkpnDtQ3qPoKc+XfuokDo/Nv/gkHZw0UUXzbz7FQkunqts9CNThZFv0wg0Ao1AI9AINAKNQCPQCDQCjcBBIjDflzS3dpCAbyOvPtm5DZBapBFoBM5EALnGIrum47qwvOPzggsuGEQaQsqj61zk3sMPPzz79re/PUN8OeGJHHW6jy6PJyM7EWFOeiI93/rWtw5yi94QbT4+k69sI8lC0NFBRj5IMMY1U8saGW7CQxq6jq1h/JGVLnqH8td+Eh83cdGT6+26IWRreZP3tIx0LipT8kq6EKzCc/JWnDLWe6z+6ODm3uKGvA7mIVDVIcIT0amuyXF9PR3JKR4Rrr49pv6Wt7xlPI7u1QbqHPnt8XT5hJCVRz5m5DRnPeVZy9j+RqARaAQagUagEWgEGoFGoBFoBBqB9USg2ecVrPc56XD66NcKlq+LtN4IaJ4IJ5a/NtdKliGoIodQ89hyrp349Kgy8ssjyIgsBBbiy4eOuD//+c9HOP1O7CE2EZw+kuQUHyIVGeqEX8KRofw59Se/GGVwzZUvooxOJKk8Qtxx45d2kV+YNMpNX9JPZXPNrf6UiQuzRYZOVpmnfvLCGOWvJxoTPiLLT8Kjq0SdKr8w5awkJ/lgh5TOtTDGtQ9VqTe4ctUlMpPNu1XJKqc6Um9IbWSmemDVZ+pPvLqpZGbyDWGed3aSWYahPNs0Ao1AI9AINAKNQCPQCDQCjUAjcDYRmO+hmls7mwDvQnef7NwFaJ2kEVh3BEI8hYgLHjldWa9DxtUTeIitq666aojRRQ9SzCnPZ555ZpBnHnt38u/FF18c5BkCzAlAp/4QXU7+OfUXPyKOCQnGL+8Y8w9yElmGjEOI0lmJwshux6VPuemMEZZ5rvoreZh4aao/OuLCJTY45zqu9PFzmbjRsyisysCIXVYW9xdSF2GN5ExY8lZnTm8iqJHYCE+nN5HWsEZcegzdh4a43sO5sbExu+yyy0Yduj/v60RiqxN1U03yUXchXhNW76WmaX8j0Ag0Ao1AI9AINAKNQCPQCDQCjcB6ItDs8wrW+3zz3ic7V7BeukivIqB5IpwQTwySDFmW03WVYERiseSd+uMizBCfiEun8hjhORGISENcOhUoD/IIs3zgyKlQYTk1SD+55KUcLMLMOx4RoohR5Noll1wyiDdxZJYRne4x+nK/yinMNctI7x5COlbCsPqH8Gs/0ZGwKscfm/jkteg6ZaGTkdZ9RQd3kanhsGdhHjITxvD2agHvWEViIqNfeumlURfqUhzc2WPz92rmRK26ha9TmzUM4QkvZCbMUvfuQZtBhNZ2lDrN/QTn4Jd2lntddJ8d1gg0Ao1AI9AINAKNQCPQCDQCjcDZRmC+J1m88TrbGbf+pQj0yc6l0HREI9AIbIVAiChuyKeaBpGFnArJichEXDL8CKzEu6YHQeaEnw/WhMhCtCHcnPw8efLkqRODTg4i6JBz/Ag4pB2dSDenQJ0kRNwh2zwmrZyIOAahVuelEIvSsyl//LmWVjrkHX3RkfTimYS/evXqqUth5CIbdyqba5hUU+X5YcuNfOKlSV78Nbz64cXCWN2oh3wNHQHNz4p79tlnB2kNZ3GwZ53U9XoBGMcP94svvniQm+pCXSdfulj1wqpvsu6VjDKw/Gww4OY+3RMzvX41tH8bgUagEWgEGoFGoBFoBBqBRqARaATWFYFmn1ew5ueb+z7ZuYL10kU6jUDIQETTlFBL8w1BJRV5pBgXORcyS1qnLxmEG4MUQyCGPEXCseJz2pAOBCfSjS7hThsi0HJCFJEpXcoTnSHH5IP8dApRHOIyZKjTh4g7JJ3H4tnII+bcW051Shudyj/112vxuzXuA34x9b5qHu7ZvcPC6Ve4w4kVJxxWdJGDIyJZeDB3r+7Rdeoj98xNXPI99trJTnghkoNb8A3GKfv/t3cn8Pulc/3H70r/SlqRYuiHhqxZsosfyq5Eg6xj7EuMNctgJttkGWvZm7ElRLIOSmNpZFBIocKgRJQ2ldb//Tx8vq45c+7tey/f+/f9va/H4/6e8z3nWj7X61rOud7nOteRbvsTj3CVnv/7Im5bd5wrobnKoeLONgRCIARCIARCIARCIARCIAQ2SWA8fom2tkngc6SVApkD0qa9jEWMiJ2bhp70FiZQ1bSEqRKnbFtBzH71/cLYJ0iapUnwOvLIIztBjT+u4q19r1ET7AhmJaJVfF2Ab/wpAZVwJ37hPvaxj42++MUvdrNBP/GJT3TrfxIACXziIrSWkOl/sxKJmbW+pFmmXq/mT/q+Fk4EJQD6n61lL5v6v8q74+1+2e+YuIqLLVGvfrImX/W/baVpXzzFpfjLH+FSHq2jSQi29qlfzcjEhn/ip7U1+bNvdibxsNbSlG/7ZsgSgC9+8Yt3M28tDYALVuX6toufc1weW78Vpjjwa2YusVM58F+OH3lVB+TLVr0hjvKnPDCIC4EQCIEQCIEQCIEQCIEQCIG9IDAes0Rb2wvwU9JMgUyBs1enxuJAxM69gp90ZxJQPQlwZloSm1oRzzk/fX319/4vscrWT3gCFz+EM36IWM45Jk4iln0iHP8lDNaMPoKX4/z4iU88BLGaweijNwQ+wh+xj6DmnLSEIa7Zlmv3HfN/e6zdd76f//Jvy96K375fe1545+WnnPwXr8qPPBY3x+xz5df54iON1omL629bPxXeMYIkm4i8REeCov1aWoAYXOJqiY0YiN+v8t3+L15xss1xeaiftO0LV4Klff4qn+xwjL/yb5+tjovbz34//9KOC4EQCIEQCIEQCIEQCIEQCIF1EhiPRb45qFxnQol7bgIpkLlRbc7jeKAfsXNzuJPSggSIUARFr0ITqIhdhKdWtKsoiVIlSppx6H9io9mUJZwRTYlYBEn7hCtxmkU5FGfFLZ4SXEsAdY3xqyY0bSusNM18ZKOtWY6Om3VKHHWeYOq4PNsST/knmBLiKm12SbuEtxLhCHB+7fG6FjomDo6t2NYPE8ekhZvjjtmW3+JmpqayYAuuhEgzL83KxNpMVTyJlj4MxQ/G5c//xGVxc2Vf988cf/ivvMvTJCcfuPnhXFt2s1X6ODsnbxwxnK3FsR93MSne/fP5PwRCIARCIARCIARCIARCIATWSWA8Foq2tk7Au4g7BbILaOsOMhYyInauG3Li3zUB1bNEzBKgbPXvJcKJvKqx40Qsop1jxCniFqGNQFVCHuHLfsVVM/r4r7jEW+crjbJBOn4Vn/Otq3CtvxLW2CcdAqrwhM+aAWqfsOu4bYmPZat42Ve/Sl+c7X7lgz/nbMsWdta+rThLNCT01bHKA//2OfGyiT9hcLNv69XzYk3MtE8U9as0HPer18zZVU66XHts6P/O0/hPa1+FqW2F8z+bsSk+7CbKtufs+1U9qPDYtY4frvLfnst+CIRACIRACIRACIRACIRACKybwHjcFG1t3ZAXjD8FsiCwTXgfD96/qTZsIsGkEQILEmirqH6dAFU/ApbzfkSsEuuq/3fcfv1vW/7rHHNKECSCEscqjDjtE+fEXU5YrsRI/5cwxn8JcSXyOcdv64c/rrYVR/mxrXRs61fCnW3NSqyZi9LwI5pWmsXI//bLvuJFlJQ/thKF/S+vjvHjeIl7dbzsFlf9+Kvjtq3t/EhffOLn17FyFUdt6/ikrbjb8MVGGlzFU37KlopP+nWsthXO/8VYfP3zxc02LgRCIARCIARCIARCIARCIAQ2SWA8xvnmQGqTCSetiQRSIBPR7N2J8UA+Yufe4U/KuyCgypaoVWKUYwQsAlQJXYtEXfEQOivuiseWyFdiXsVbdlTYtim1Yl4Ja/14K77dXKsq7bLXtsRUQh3Rlh/7rX1lg7TrV+Kd/wmR/q9f+amt4/M66ZedwtjnWq7dgW8cq3N1bNFtpVfhKp36f95t2dxyq7DiLBa2cSEQAiEQAiEQAiEQAiEQAiGwSQLjMUm0tU0CnyOtFMgckDbtZTywj9i5aehJLwRCIARCIARCIARCIARCIARCIARCIAQWJBCxc0FgG/CeaTAbgJwkQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAE1k8gYuf6GSeFEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBDRCI2LkByEkiBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEJg/QQidq6fcVIIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRDYAIGInRuAnCRCIARCIARCIARCIARCIARCIARCIARCIARCIATWTyBi5/oZJ4UQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIENEIjYuQHISSIEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQmD9BCJ2rp9xUgiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBENgAgYidG4CcJEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBNZPIGLn+hknhRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgQ0QiNi5AchJIgRCIARCIARCIARCIARCIARCIARCIARCIARCYP0EInaun3FSCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQ2ACBiJ0bgJwkQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAE1k8gYuf6GSeFEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBDRCI2LkByEkiBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEJg/QQidq6fcVIIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRDYAIGInRuAnCRCIARCIARCIARCIARCIARCIARCIARCIARCIATWTyBi5/oZJ4UQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIENEIjYuQHISSIEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQmD9BCJ2rp9xUgiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBENgAgYidG4CcJEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBNZPIGLn+hknhRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgQ0QiNi5AchJIgRCIARCIARCIARCIARCIARCIARCIARCIARCYP0EInaun3FSCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQ2ACBiJ0bgJwkQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAE1k8gYuf6GSeFEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBDRCI2LkByEkiBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEJg/QQidq6fcVIIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRDYAIGInRuAnCRCIARCIARCIARCIARCIARCIARCIARCIARCIATWTyBi5/oZJ4UQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIENEIjYuQHISSIEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQmD9BCJ2rp9xUgiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBENgAgYidG4CcJEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBNZPIGLn+hknhRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgQ0QiNi5AchJIgRCIARCIARCIARCIARCIARCIARCIARCIARCYP0EInaun3FSCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQ2ACBiJ0bgJwkQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAE1k8gYuf6GSeFEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBDRCI2LkByEkiBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEJg/QQidq6fcVIIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRDYAIGInRuAnCRCIARCIARCIARCIARCIARCIARCIARCIARCIATWTyBi5/oZJ4UQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIENEIjYuQHISSIEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQmD9BM6x/iSSQgiEQAhslsD//d//jb7lW75lLYm+5CUvGT33uc8dfc/3fE8X/3/913+Nrn3ta4+OOuqo0SUvecm1pJlIhwmss5yHUxyNpqU57dyk+PbT8Tb///iP/9i1Ce2w2uJ//Md/jC5ykYuMTj755J1st2F2DmZnIoHDndeDHvSg0RlnnDH61m/91tHFLnax0Qte8IKJrHJibwk8//nPH51yyimjc57znKPv+I7vGL30pS8d/eAP/uDeGrXC1P/nf/5ndPvb3370mc98ZnTVq151dKtb3arbrjCJRDVA4Gtf+9rodre7Xcf9kY985OjmN7/5gK8cCoEQCIEQCIHRKGJnakEIhMC+I0Bc+dznPjc68cQTR+c4xzl2xJbdZPR///d/R9/2bd82Ov7440ff933fN/ryl788+uhHPzr6gR/4gS46N94XvehFR//+7/++m+gTZgkCyvn3fu/3Rr/1W781Ote5ztXFRHw28LzJTW7SDaxXLQ5J8zWvec3o1FNPHX33d393J35K8/GPf/xOndhNmuqZOvb3f//3XT6OOOKI0fWvf/3RFa94xSUIbTYoNm9961tHv/M7vzP67//+79EnPvGJzgDHOeLA3/3d342OPfbYEeHz4Q9/+OhHf/RHpwrIXcD82SGA5emnnz564QtfODrvec87OuGEE0bf+Z3fuXN+v+8Qlv7sz/6s65P17XHbS0Bbd630YFAd1f73m/vLv/zLkd+P/MiPjP71X/91v2VvK/PjWvkXf/EX3e8rX/nKWm3czbV8rQYl8hAIgRAIgYUI5E5xIVzxHAIhcKgQcBP8ile8optRUmLLbmwn2nz7t3/76KEPfWgndhpgm6nyXd/1XV10hND/9//+XzfTaDfxJ8ziBAxAPvnJT3ZimplDb3/727syEVOJbB/72MdGN77xjUfXvOY1F09gIIQ0zepV3sTV97znPV2ajkvzh3/4h0cXuMAFRpe61KV2NbvHAO4Nb3hDN1tFGuc+97lH//AP/3BIiJ0Y/NVf/VVXHmZtEqAJHCVAF07tkODxqle9qhM7zfa65z3vObrEJS5RXrKdg8CnPvWpri5e+MIXHh133HGHldipzuh/zew8nETeOarF1nlx3axr5X4tK/cBNXNVnYxbPwHXkeK+7gce0vr85z8/ev3rX9/dB1784hcfXeYyl+nuBdef06QQAiEQAiGwLIGIncsSTPgQCIGtJEAwMhOTELmM2EmcMWjLQGZ7ill5Ehx/8zd/c/RP//RP3awaglu5T3/606MPfOADow996EOjZzzjGaMjjzyyTu16aybJYx7zmNG//Mu/dPXKTJ5Kkz3Pe97zRl7d/vmf//lO5DPT9wpXuEInjs6TqEEbgVCdJQyYJfS+971vnqB77kcbURbKBJ/zn//8O2wYZ+YrP9qktvS93/u9XT7NTjSzM2LnYkWoT/v+7//+jiPxLy4EQiAEQmA9BDzIs3yGNznucIc7dNc31+m4EAiBEAiB7SeQx5DbX0axMARCYM0EiFYlXPWTGjpXx2rbD5P/10vgS1/6UjfT4t/+7d86gbBfdgQ1YuSf/umfjm5729vuvBq+W6v+9m//dvTiF7+4G+yYcUlsatO0T6i80IUuNPqjP/qj0U//9E93a4qxb14nTwRBTnzE9UNFyGLvG9/4xm4pB7M5zVKtnzxZp++CF7xg95q//+sc0ZMQGrcYgap7tl/4whcWCxzfIRACKyNQfVm1yZVFnIimEsAd801w9yDSskUeMNWs8qnG5WQIhEAIhMDWEMjMzq0pihgSAiGwCIFpN7qEIjfD87h+PO0s0DpnW/H1b7LrXHt+nnTjZ3ECyvWzn/3s6IY3vGEnDE57NVK5mIlh5qcPSHnVnQBa5TRv6tIkKNWSCP6f5KRpYCRdg6KqS/00+3G0edoGgbNv76T8yl/9CMz2qz3Ycmao+ojMwYMHu3VO73SnO3XCMAbEzmc/+9nd+rq25Spsbev4obYtNru1W/77DHBzDG9i+vWud73Rb//2b49+4id+YuG6vVu79ipcv920bOats7u1fdmy3G26bbih+tCe36b9qqetTW15tccX3d8GDvKnztWvHuLIy7rr4qK89pP/lvsmmPfrsbpX5VvbVfGVVlwIhEAIhMBqCUTsXC3PxBYCIbDFBAxY3SDXhwR8XOinfuqnunURiWI+fOH3n//5n906jF5//pmf+ZkuTK3RaU1GXwKt/63XeNnLXrZbY3GLs37Im2Yg8O53v3v0y7/8y135eCVaefrQjZ/9cgRHoqFt+fmFX/iF0VOf+tRuPc15BynSJET6GFHrxKnueFXdvpme0isbpOv8z/3cz40e8IAHjA6Ohb52/UprcxKq1CEft7AemDonT4eKw+Zv/uZvOtt/93d/txOVtSsfVNI+5FmesDbjlXPMWqc4+YiRfPvgjDU+73rXu3Yf3an8r0oYqfj24xYjdXDe+rwbBv0B+DrTKvvkq20L+uxqW+Wn/38dH9r24ys/m8hLpbWKrTxXvoeYLJLGEBPH/BZx/Xg2ybSfNruX4bIIX2lrGy9/+cu7fs4DLjP/ZvHr27yMvYuU037xi59rrXWfXV+slR0XAiEQAiEQApMIROycRCbHQyAE9h0Bopg1An1syCDDz/qC5zvf+Tpxypew/QzY/Axe+LdvMMNd/epXH13ucpfbWcPTzTexyyzDoYFOf3AzBFX8fVGBP2Erzmnx9AdM0/yKV3rlJvkVJ9eKDv7vp+XYpDicKzcUrs7Nu/XBHh8eUl7cV7/61dEtb3nL0U1vetNOPHSM0Pgnf/Ino9NOO637iJEZcI4JZ03NRZ11P319XRlzBsS+MmxG3b3uda8uzt///d8fvfe97x398z//c8eLH4z//M//fPT+97+/+2gRsdPr8CeeeGL3MR882CVPn/vc53bq16L27YV/5c35cMNv/MZvjL74xS929fdhD3vY6LrXve7Ih3O0ndYJo43U+qnETeuqWg/Nq+zvete7unXRfHDHK4OVRhtH7Q+1lWXrV1uHZ8XVT3+W/7J7HVt1qASwNg+V1iK2DYV/whOe0An+Hugo2x//8R8/S/9R6dS2z8bxWf3bULq/9mu/1rWdn/3Znx3d4ha3mJpmpd3ftrZYx/dJT3pSN+Oa6H6DG9yga9PT+LTiVz/u/v/yUOXQP7eK/wk72hdx++EPf/jOAwRxt/15P62WQfmtYwSjP/iDP+g4aK8nnHDCTh6mxSmels3rXve60Yc//OGunHy8pRwm63Bt2vqgxz/+8d1M58c97nE7D5WmlWvZNFTvPEy7//3v390XlL8hFlXeF7nIRcpbtx1Kt3iXx5e97GXdA55rXetao2OOOaYOD15bd05+Y6fNe/9c+/+QHe35aftDXDAYOt7GM2+as+IR56S4hMXzohe96E7SHjgX437cFU//+E7gb+yUvzre+nft9j/nPsAbCZw023BtmM7DhD/8VXwTvORwCIRACITAighE7FwRyEQTAiGw/QTcFBvU+Ur3oq5uTn0FnABW4pebXTPXiADnPe95z3ITWze/RDavmhLeygnnptnrpz/2Yz/WzXIjovHjHGGIkGcWg4EG0fHLX/5y589NtkGP2YM+7mJ2ajsg49cXm4lwZae8e4370pe+dGdvO3gxm9WMO2lxxIW6oSf+ltjn4zsW5m/T4l96xD5rZFYcjnME5p/8yZ/sZvz1w33dx/x/CTs1o1Yo+Sc8Ex5bZ/3Mj370oyMfFSrmwvWF2zZMf7/K2wd3sPyhH/qhzos0zfa9z33u03F3UPkZ7BMz8RFW+dRr9ERZzuxhH/Kpdb+qfpSQ3nk6BP7g+JGPfKRbx9TsTnXlK1/5SseFKDbk8GgdQfOqV71qx1b7UDfMkrrf/e7XiZ2tX/vFqva1QfWN+KM9WxOUm1XHalDMr3ZWbcn/1lslWF//+tc/WzxtOG1ZWQrv67yWSeDY6LdpV21CueBhyQUcjjrqqK4+soet/TJo7Sy+2s0f/uEfdu3MMcKMMsZGHPq5YtGyFrefGbsEfG2Vf3X71re+dbemq+Ug2v7NbGv/i88MXzOo9XuOveQlL+nqWLWpauPyOItx2ffqV7+6K09ixR//8R93H9ASv/Ysn/o55TfERhxmX+v79J0E+atd7Woj4pYPcVW/oj9Q569ylau0OFeyT8jTzqznq+/Xd0hP23HdMJPavnxw/fJw7LWvfW3XNp3z4E7f5cGPvvFFL3pR9xE01wh95hFHHDG6/OUv3z2QGOrnxVf1xL56pszZJU42XulKV+pm3HmY0YpE/O/GeRCkrNQDdYqr8net8UCJHcrDg0vXYNcE+Wh5tGlXXXXMwyh1Qz3VduRFvJe85CU7vh6s3exmN+uCt/GpH+rNK1/5yq4vwK69tgpQrPjzAM51VtynnHJK18bUQ23XNfL2t799l4ehutjGZV8/qR4MXc/ERcg/cODAYL0WfpYTr9n2HhDIp3smdcz+aeOHiOpOe51ni7cYsJpkvzRb7u4X1G3tsXXs93aAe4aWd/lhA+Ffu3Td0Pcqq/LLdv2Ih2jqwTWvec0K2t0PuX9rbRfXzW9+867etLaG6dOcAABAAElEQVSLx5skyujMM8/s7qPYrwxf+tKXdkzcT1lSp00bG4zaNMoA8cuvdcTF1aZXfrINgRAIgRBYLYGInavlmdhCIAS2mIAbzLoxNRCpQdO8Jgv/lre8ZfToRz96R5Bxs2z20b3vfe/uhrmNyw0zUcQMGrNJ2xt7g2eDg9vc5jZdfNYsNAAw6HLOh3AMstqbZqKDr4LWMXEbVBI7+474ZoZKiZYGEWaSEOnqtWL2GUT6kriBr7QNJohHBtKETjZJ06BMOu1XSPHwI1Q87WlPG735zW/emVlT9oiHqGH2zQUucIGO+aLcK67+VtryxVW5sp9IQaBYxmFDfDY4Ik6WE7d1J7EwWJGe2Uw+SuScMqlBuTDi4Ydjrzqg/OpYd+IQ/GOQ76NNBvnKk5CCB+d/eZ3lCBLEhtNPP70b6Ktjk8LhaPBNSCOqEHF8FMmAF/Ob3OQmHXfiVdWFfvqYE0cIs+xmM0c4VSbqMOGH2Nk64dQnM1j/+q//evSYxzymazfaKRGOwKLsr3CFK3TlOin9Ns5V7GPFNvazD3ei00Me8pCuLOTFgF8fcGAsfkyzC1/5e+5znzs6+eSTO/GLjcISkbSFd7zjHd3szsqrMBVnlZulIogY2oy+0Wum+h3HiUrKuO3f2KhMCUBPfvKTd/oP4psZwgTtRz7ykaPznOc8XVvqt68+R3awSb/22Mc+tps1LQ0/tmCkbyTm6E8f9ahHdf1w5aONT98lbSKYfbP+CEkPfOADu3zwq/5ZqmIdYufb3va20fOf//yuTHEjOskfscWManzVY/05wVUeKx9VHk95ylM6gUb9IEip21gTi5QDwQYT4cyqPjie9SrPkx5aKHPtXJvlX/5dE4iNlrMgMOuT2ao+lSjccl1kX3v99V//9U54aq+fFYe+1nVUHp7xjGd09rimmqWKTfEo/9qLY9qM+MTNZsIsZvKCLV7ycbGLXazjS1yusBWXeFzXCFy4ugeoays/WGk3rqGW7HB9xK7qNjHbNZqTrj5MP9S32Xlxsemd73zn6BGPeETX3zjWd+qpuv9Lv/RL3T3EUFz9MP3/PfB51rOe1YmD0vBA1YNX/a82aha+e4Vy+gMP9NyLyNtQmthxH/zgB7u+4ZnPfObIci64t479hFUzyuvaomxbp94qX9zduxA7W2eNaNcHNruPYpv2oy14kNO/nmvfd77znc9iO5FTn6Wf8EChhHvXKw+G1XtlTuzk5I+drknaRd13tXYpP3z0p+4fsB1i1YbJfgiEQAiEwHIEInYuxy+hQyAEDjMCBkhufg3mOANON8+twNUiMevEa4dDa0u5yTZAJECKw1erSwwYull2cyxdg1oDM7/2xr1N1yCT34rHwM0Ne3/waQBvJoRBWol3/BrEEWnF4ebcjXwNWKRTg2kzH4l/1p40u64/MMHqrW99azfwNQDBT9i+v9b2bdn3WqRZNGZ1lr1sN7jjKh/OEcDw8fpt1Y1+PtQRcRnQGeQUw4qr73+b/1dPDXjVGXXKwJJwsojDyw8LW6LhUDvCiR8DYLMqCQP8GTiq3wS6X/3VX+2WmCBcVPuoMmNTsfYqMNGBMGHATXC4wx3u0M2ek5ejjz76LFkQznGim9mGRCJ1WDk6Z6aPQS973vSmN3VLFlSezhLRmv6RV3liI1cc7auThF0zKzFib8uEn3IEBLNqTxvPStIX8Fd+scfZDDtin3gM6glA/TiViTavfrCJfcRTs7+qfPWZylBYTjsjnLf9h7SFly4xtGbXYa/PqzZY9tdWnARRaeovSyR1Xj44NhFS1BXCOfGQ374TFzv513cSkvWNlY/yL6+rdoQR/fKZ41llJeZVmVSfzz4ciENEnJrd3NqiPPRHWGKnvrvmcP4vJuqNcvNau4ddxE7xVx3gnx+OeHerW92qKxssyuFQtj34wQ/umEpf3dqt066wlwf29h375IGt1R9oh+qMWcZDTpmbXUew0odVvSu+0ivHr77NNcyr030m6iduQ9dWcZgZTZjDSV0qnspDnRNWnHe72926j7X94i/+4tnSKO6ETnZjUXWu4hMHJz5CpTbg4c0iTjrqnT5OeH0ctvKGJ9vUnxIhK25perAgzPHHH382+8s2Dw71Repsn3v5EReB0Wxm9wvEX+cqn9L0P5b8apt9J24PVj3UqP5KePWn7mXa9NhM4CVSYsDvHe94x67ttXVDOtLzE76tJ855OGEGvPbK7tZm5ysfxHizww+OHyxIr9ogP3EhEAIhEAKrJfD1O5fVxpnYQiAEQiAEvkHATa/fkHPcrIPrjtfC+8QnPrEzgBnyu4pjbqzrJr/iYwOxyo258xxhwStcBjvO92/a+RGPAcJ1rnOdboaUgeaQP8cMCImhXqEkdPRtEN82uhrYDOVryF4DxWl5M1g2O84gyYCPCOAn3KHu5GHRQZsZf15XJCgQpQzmDUZbV3WWoGMQrE4atJYoqmyUk/DEqFl1TH324MESD2Y93uhGN+rKwOBZnP2yVp5EUa86GswSc6qd8EuwUJ5s0m6ITpt28sQuv1YQctzAm90EG3kp28tG/ys3Apc1VAkp8uVX9dO2xBl5JSZY0uLtb3/71PqODXHQAwOia5VZpe1/M+W9ctrvP6RXbYONlT/7/TKq+GqrbUlT31oipjxWfip/8mqmlhl1zvfZVHy2WBK8zUbr56P1t6p9Ig3b9J2t7ZUHxzhlSvjqP8Tq26HcCDHqOycPxdi2HAHJbFcPu4b6Mutz+gAZu9rz7Gn7MfWwrisV96q3ypHtbbqOyVvbDipd5UtEI27zg4lt1Ydi6/9y+hZ+zOBTHm2ey8+0rXrDFnFwbK10bMt2/ZcHjyeddNJgGmbSm32ozpYNxbziED/btSXCogcS8lz+nZ/HsbXCsN0MaNd5YqZ22PIRn/+JuR4w3POe99wJW2mJCzsMxc0+7VI4PxzK+d959wtmzes/ypbyM+9WGuwtER6Lqi/Vfsp2M6g97OGkVwycn9eZ8ar/V+ZcW9aVnrhdazwgJirHhUAIhEAIrJdAxM718k3sIRACW0agbpxt3fzO+u3WfPF6rY5Q4ua9dW7u3cTXTb5Bed0Mt/5Wue8G/IwzzugEo1nxsseNerHq+5c3r7QRPMyO8X85+ZA3vxooFGuvNXrl39p9wtT5Cjtra6BCLC0nfA1qxVd2tIPL8mtm2aKMzbw1wOv/WhsqftsawLXH+vsGOmb7milkBhIBz6t4bFuURz/uTf5fg/dKU33Zjf1m0KiXZk32ZyspT/ES6giZ0sRJuaijVS7ErSpbopoZQYT4qg9lY23VR23PrGTxcNJRZ23LteHNxlXu6pGfsNKv45X/Y489tpt92oat+Na1lR/pFxN5t48TLriZgWo5CazKtiov5x0XB/8YEgnUT2KkBx/CarfVJ8h3Deornkn5w5VNVV728ROOLRWn//klSJmpS3y9733v280mw3yWE5cwZk7JS5UxscZSE8QIeVLP2M8/f/Je9XlaXrBhX+WjtjivyrHVB9esVYmL16At98B2M5LZb1+bwEmfw588a0dVtkP26D/lW92QjrqKlxnT0pE3Tn76HMSrDp02nvmLmTSrHVjagRhG7LL0iWtC+RmyYxXH5MEMQ7OazZJThtKua2qVZ9WtNs06ZstOD1s8RCHeewhiNh+2bR5ww3pehxfB+IUvfGF3/cdKffGKtT5fOUpPv8dmZSMP5Yq/eMzUfOITn7hT1vyYaWnJDq9mO89e8Ss7eddflphW+a24Z23ZUunzq97jrX5Uv1d1v9LkXx6Lf6VR8RCNMeRwte91e2vgEtD1rcpPOtLn1CNvl/TvMbqTC/4RvzpvbdSaVcl2aWFMmFcuZtg6Jl1rSqvbbCqG4mE7mxznhNeWLFUgn/o3cXgLwXVeexWv/IrHTxgz2i1fZD8uBEIgBEJgPQTyGvt6uCbWEAiBLSRgsOJG1Wt4bkbrRnzIVDfkZkW1i98P+esfq5tiQqdX2AxCiJ2VlkGKtf181MbNrxkPhIV1O3a5QZf+LFcDRf6EM9hxA2/LWa9N/j7+8Y93M3wc4w9bs2XMSuLXTD3hzAQzmHDMq7DWFDQ48CGCilMcs5xZfz44YCAnPfEa0Bl0YGqgZbBh0GFmSM0s4tcsQuW5iKu1OcVTThrt+nzi9jM7zdqlrd8KU9vKq3XgWkecrfohrm12Bmbyeub49drKK5svPF5fcdF6LM+WbvDrO+kQfAgxBBnlyj+Bw+vTXrW25ibBzeuKZi+qj/xZc88aqmafCTPEVPx+zmsT17jGNbq6W+u/Oa5tmqlTMzq1Cx/E0Df4WA0blDkxUDv3iqe13rwKbMbqgfE6met28lbCh9fpsSE6sOuzn/1sx8aAXX9nvTyzvcywwoYj9PhKubaLB6FH3sw2t1ZfOaKj/tMah4QhfZo+QBhtcoizY8IoJ6/fCqf9aAfqPNHRTGd1STzaM9FMWzUDUX0SznHr5LGf2MBv3znmYQqxyjqPZpopA/kwW1G+1B2O3cePX13lz8MHAo41lYlT6jRWfYczRkceeWS3hjE7OFsfbVqVI1ZZ21TerTfoI1NmUpbtlY7XyAmU+lg2Wyd1Vt+Ou3ITFg/9tLZnZquHcuoxwZSopVz0l0Sa6re8fVAfp8FbmzH7Tp+PwaUudanRc57znK5sTzzxxG52oZmIq3byKS2vVdfr9OzHwaxN4hI7lafX6fURlQdCvvasjF0P1XHLWMhHfeHbK9mEL+3Y9Qoj9VUddA0aWpJmKI94aYNeqXa9V44HDx48S/11Ttpm3epXPFyQ3tHj5TS0H3XTx40IdWZ/slseLI0jLoKnfgl3fZ97G32WfshPeRLLsSkGQ7Y6Vm1YnOpJ2w6kUe1J/rXj6lfVG+nqd7QpDyqs8133ETiYmaq9S4M92rllT/QJlkyoV+7NnlZ+rjHix0Ub3k09Eh5T9wf6FOtkWrdWW2KL+q/v0wdih7VrCRvZpU/Q/7iXKL5Xv/rVu7i0TeVRTj3R/2gH7g/kTz7LHXPMMR1/4rSw6pM+2gzcuBAIgRAIgfURiNi5PraJOQRCYMsIuPk2UPDKkhtav0nOLAs3yCV+TPLXP14DADf3RAY36dIx0HDTbfDqJvvAWAgxCHCDTdRxvsL241zV/4SHGoDMipMtBvJsJox4Pa0GHAbjZqYYMMsbvwaOWMkf4dFxA1KDAIMFQpD0xWXmndlLxM4KP8se54mEBow+oMEZxLKFWHLlK1+5G4DJn8GhAbEBjcEOAUG4Gsx2gWf8MdATp9+Qc96A39bAzAwdA72a7VZhDArbQaPj7aBTHOw7lJwZKxjLa5VffQhnkXxMqu+Oq3dmxZiFQ3RxjKBo4Et4M9AkYnHqGxGKQEOk0K7MqDKLhyDZ8i77xKds1A/CAsFB3TQQ5ZSZV6HVc7YYmBvse5VUGF+dln9xHBi3ZbYSn8ShTloXsT4+UmmuY8sWM6wNrg3maxkA9b+ETG1QvgzosSFSsZNjv/Uy/a8eKkevc2Je3JQxUcZHT/RXxCLiCaFN/dWuCaR9J5xz+gVr9RFQ+o5t7OQIfPe4xz12RAJ5IzoQ3IhF73vf+7o+SbsecsQo5SAvypcYZmkB+5wytU+w9lEh1wFtVl+v/UpLPzG09ixb1DeMiYN9V+2gf3zR/9knLg+JfN3bDE5bx7hKR51X7lUWmMzq2+WfPw9xlCcnX8RkbYXwR3zRlysX/TT2xY9w5+d/5W9WNoG9dWYAc9qMmZ5ER3VkFa4YKFdlSHhS1o5bZoIjdhNrzUImfHqoVv2U8/z6OBGBFtsS1wl46rvz6rJrBR6njWeyYiwP2OiD5hU7CVrCsVE60uOqHjrn58M++lPtj3CoHPVJOBOxtTltQzh54V87UW7liL6c9muGJKFTOfrwIIFNec3rikP5ly4hUxvGuepDnVc/1Qv3MX6+aO+V/HLyZv1U+RIXDupJ2SQ9IiTnwQk/dS1VD9sZrxXnPFt9m3sWYrY+7+BYHNYfKWM2+2Ejb/pG53Aup4/3U188IGGvexDtrtaqFRceda/hYZO8uz45Vz//u27pl10/1VH2xYVACIRACKyXQMTO9fJN7CEQAltEwM2sQZgZG7OcwWYJH7P8tufdwJp56MbYYKdudv1PODNTzWwizgDejbaZEG5+2bdOZ1DhN48z8DIgNrAjAvzKr/zKTjCDLINFeeMMmM3euvvd794NiMqjGQ6EHx/tMYuhBhpEA/+78TeLZR6b+DFoNBCtdG0JKNgRucoZuGBfg0Pca6aYY/3BWoVrt/xMs8t5P3mvAbGBsMFSax9+7N5PzoxHg1sDSfUdB6Ki8sXM/8s6opwZneoHhzNBk9hpy0kLa/XUQNxA36xe7Us784oku4acemCAavaN2T19Z2BOeCD4Exi0ATMivdpYThzatVmk+hUznjEgihggr9vJO/vMlC4hv+o3bn54ef1Y3WSbrTAcEUH7xEtc/Bvct0Inf8pTvI57ndbrt8rDgJ/ALKwBfN8pH3wIGOWqTYnTr/pIcRMjlIf4/AhB/NuWmEvwnPRwgLBmZpZ8CCddabRpskNeLKdBZFWX9Ufqsg/JEDOc49heTj8tvhLV6nhtpbMKhwcRj83yXNcg8WPSOmWwSLrilPcS6/zfMvbwSX8qXnW+L06rOwR9fb94PAzkim/Zxk7t0ZsLhK5+POVv0W3Vi0c/+tE7XNhRbORFO9A/EDvV6+Kj7puZq12WMKXd6CO4ygP/9rV3gpyyMNuS86B0N8KbOMsO8VQ/KR3XKtcnYhyR3TEPVcp5YErslDflom5rg1zlvfzaHhg/ePHAQ78snFmSws3j2Iixh5NYlZ3qpLqhnys+bXzajGUiCJP6FnzNwnZM/tihrbFd/K7h2lYxF1ftq+9EZtd09xlnjh9kyuduHFuUo/pSrtKRD/HKlzIdKld+cde3V/mJU370fc7XcfHLG2bCcO05aWk3rjXaESFan+IeMC4EQiAEQmB9BCJ2ro9tYg6BENhCAm5A3bzPcm5q3agv6tzUGxC74TVg5MTl5ri+Dls33IQxA+snP/nJ3Y2zG+V1OvmZJ09u2nE6ejy7xMwerm7sHW9v/p0zMLJuGDGo/DnOr0FEf7Bi8EvgxWpIaBJ2ksOydWzFeqhM+SWEea3ZgM//BlnCrMrJo/hwJZC1cRtwmgVGCK4yX1W6exmPvKqrbV5rQI3HKhyW0qk01DmvUPsAkfpU6dhiqw4YIBtQO09grrpSflu7CGZmHpvRx1X58OtH2Kh81jn+yh7bSputZisR9b3KWCJZ+RFuXY4NBt8cO/1f+9L3GiYmZqSykyhpfccLj5cd8NDH7Dx9E1ZmW5vtNOQqXuvclRO/dmcQP+TYow8kGkm7z1Ga6o3+w4OS448//ix+Ks7Kl/UOzdJi91BfibsfWwku2h9Xtld89b/6UvvOqTPKvJw6wPHDVq+otq+mlr9VbvVXtdZiP96y1ZaYZBZr1bW+3/7/yopfwi7mfX5VV4u1//tOGO1MWYoHk6F+t+zs8+3Ht9v/1XeiWNla8fj/Pve5T1ffbUvUrfOuv2ZbE8AITeodJ1zfOSav1bbkmehJ4G2XMemH6/+vPnkwZJ1mdRdDbUJZYFy/pz/96WcJWukX8zrJv75L/WbfkHPONVY51D3IkL9Jx6RZZYiT65c3VbghVo4fPHiwE0m9Qm9mqXsg7ZSYx05xlhPnNMdvPRDGqfqcsmla2PYc/629/X3nrZl573vfu1s3tG37bTzz7CsXzHEyq7Zmb7rHU3ecr/TNeG5dez1rj2c/BEIgBEJgeQLDV8rl400MIRACIXBYEnADbQDYvzF3s2tw2HcGnm7+nV+nM/A0o6K+xjstLcIS8ZLQya6yTZ6sY+XVr/5sxfJjYMNf5d+Nfu1XmvwaxPgt6hYZkCgHM3zkm0jhNde+LYum3/cvPoKZGU9tfuRReZfg0g+X/xcnUCyHyhBvrxCa4Wuw7+er0j4CMeTfsRp8Vt1lkeNmZppVZ+ax+qYcDdq9vshv679yIa46Tvwzo8oXziuN8rfJbeUbt9pvhQxttRVDDLpXbS8mJYRX3qVLaDLr1OuqBAFpT3PFdsi+Oidv8koouctd7tIJcuKU9/7P8VaA8X/rrBWoDoiv/A2l3YbZxH6VYwlm86apTyfSnXrqqV0/tdu8ENosS2BGr3q+23jmtXs3/tr63oZXjtpz1Zf23Dz7wqu7izp9kb5EfXIdUre4qpP2cWRX/aqcneu7ugZW+HbLr/U8zf70dsqyTtzz8Gr7DmHUT9tFnbQ8OPIqvH5XXi0t8epXv3pX8c2T/irqMFsx0PdY1kZbc9/hDRYOi6o7Vca20t4Np3nyFT8hEAIhEAKjUWZ2phaEQAiEwIYI9AcN/icaWt/PenhewxyaKbMq8wiPrSA3KV521Wytvs1mahrwtnbySwA1Y6EVLdzEmxljBmcN0CrNRW/wDRTMGjnuuOO6QUOFtzXQqNmmZbt82jeYMDPEwK+EHccrfNkz71bYEj+8punDAwayNZARL2GZPzO0vMoXt3sCVU7q0bQZQVWmJcILN+n1xFnWqMPqTA3YxV31vcq5H4fjfmUHgW8VYkM/nf7/7OyLiX0/7f/F0zH77f9sX4cbitcxfLBubdhN+sL7qIyZe2YcKnczq6zfOKm8tGEPQia9Yu31VnEcPZ7dPq3e7cbeecN4Jd+atT7aUn2XsPKrv9OvztOfC4M3v8IOlQc/kxz/wunD9afYVf+6aFyT0ljl8Uk2yYPfphxB37VSn1TXIfXdcglmW6unXl03Y7lctYeyU7njLU/4i9NM6Un1mj9hzK5s1/Ss+OfZqu/sbZ14y6b2+KR9fqsciL1cy2BSuEpHu6zw8rzuNrhI3lrby8ZTTjmle13ewwTc9W3Oua9z32VpBeuqtrOCq6zb+LIfAiEQAiGwWgIRO1fLM7GFQAhsMQE3tIQBwsmsm1siggHlsq7SFF/fuRl2I+zrp26Q3fyu00nLbx43SUAx8PJrnTi9umWdxT7XGhj3w7ThZ+3XgMLA0RqD9QERaREafc3VoKJEWK87W6ewhAwDcwNOr6yZ9XNw/MpdfzA3ywZpVd580dosUetuESSkI39EVwNYr/2ZXWMdNm6/DWpq8Fl85bHEGGVVnBxf1iknP2JWu17mpHiVL1dta9763sbH/hKGHDdYt/agdWsr/r5/Ntar785VHK2/Ve6rU5ifdNJJO+t1rjL+SXHJp76M+Lsbtm28LeP2+G72rRdofUOvN+u7vDqsT6q+ox+n48QjDIf8+Pq12WXyu8r63Lej/Z8dldZTn/rUbs3aj3/8450oW6yJPvwRu5RBu0ZwG1d/X7zyshsnLa9Ze23edWqI127iXVeYEmLXFf+88T7wgQ/sytNHzojwuCkzM8eVq/LQh/rgnmuHjwDW2rvF2Kvg6nK1FXXbEgZ1fsgW5/ivOjPkZ+iYcOqJpUKU9ac//emJoupQ+P4xdZP4R7DX1uT1MY95TPc19L7f/v/yWW1BPpa5f+jHver/cbNOqlmd+kZ59ePchyjbM8drj3o46g0B//uIkTrB7bf7gy5T+RMCIRACW0JgvlHvlhgbM0IgBEJgXgJ1o9z6J1QYDPuaqxtUv0nO7DxfvF3WGZweOHCgS3NoNkYNMNZ9w2uwYNDk4wO+KLxKJw9EgxK8Vhm3uNhOSPWKcg0QHMfWxxy8bl8fFXHcq7EGFsTPGiQZfBApzbQkdi7iqty8nmbQ4ivOp42/0ktANcCRfwK6r9M7Zi3I+rrsPGLJUF1dxL5N+S07vWaofRi04yv/RN/6Qrn/Zzl+xGdwqKyqnLQVA/XW8etVRmtLrrudtOnWvnpt4E9QKwZ1rt0azBuYz5P/Ntxu9tUrnKzFyW2Kizx6sOC10qEHOLvJyzrCTCsn6TnvetCK10T8eshjZpw2jnO1/3XYWXFWe7AlDj33uc/tHra1ohWbXZP0Zfb1OQTeeewTb7WxSnORrfB+2+xwMNtVv7So0LfqfGmPrk3aCoGz+jjXJmIXW+t6aU1pD8mUqaUyPCwjnnEe7lkixQe0xOmaNsuJRz3WR89TNyo+5Sus9F3XpLdI+IqntvJntrXrtgeUHhrd/va3705vqr8qWzaxdd0nFHsA6z6r2KmL+kpvplj+QZ+Drw8+HRhf7+pjR5uwMWmEQAiEwOFGIGLn4VbiyW8I7BMCbsoXdcQxN93tl8VnxdEXqxZN142tgQuBtYShWWmu47wBstch3/ve93avXq86DYMXrOZ1uAhTbhZXs6x8AOaII47YGXSbeetjKz6GUIMnAwzrkhKnzCoxu4QzkDMrqV6pq3Rnbdll4Giml7U5fYDAgNOHREoAcN4XaX2MyCzdWgJA3LPyNSv9Oj+v0LCK9KbFwY6jx6/2EhV8WMugTbn7QrcvG9cgfZa90tAezVzyMzB2zJqwHkj0XQ3yp9nWD7Oq/+VF21V/pjl1sOq0+l3C2bQwy57zuiSBfRNccMDAh1bM/CIILuMwmlVP5o2f0GAZEAKguuQjNOpRCQ7zxKM/qYcpFx5/wOl+97tfV8fZyZWttZ0nztbPtDJyjgimHfmIjnalr9KefGhHXZKXW9ziFl15E0HNNn7e857XiWltOkP76q+Z6B7YyJu45s2H9v2ABzygE199WG5aPobS3uQx/f7nPve5pYTdVdiLkb7AbHR1s9ZKfe1rX9uVgzpa5eEBAjHzxS9+cSeI3fWud915iEF4JJSqg+oEsVs9mcepM65/uxG5F7mWT7KFzez9wAc+0PUV/ldn8XA/soo0JqW9F8c94LRu9BlnnNF9zKoEd/wJ1h42K2d142lPe1onfBLD2we1e2F30gyBEAiB/UwgYud+Lt3kLQT2OYFpg66hc44teoO9yGB5CDdxwAcJPPH3ZN8gZ2iQOWTvUHy7PSZNg+dZgs1u4q+4DcCH8jYpzlZ4nJV/gza2t/ELUyJYDd6V7+Uud7nu1fbXv/71O2LnJBtmHZcGYe+lL33p6FWvelVXf9hSdtjy49V5X2vuu1n54n/ITx2r+Cu9fvxD/1fYoXPzHJsnPKGy9adet21llr3CEjlf9rKXjd73vvftvKbpy7hDYmetfyncrLjnyeMifqSnbrci9qzweBAx9pPD3tfmfZHavhlrJQQumk/hibS1vu2i4Vv/yufRj350x9sHqbwKbAaZWa9ElUUdkcqaisQLr5P3rxm7rX/yPM0RkNl8nvOcp/OmbyN83elOdxoMhr+lOWxnOX3Whz70oe5BF0F10nVoKJ6yu2Yk4qPcdyOiDcW/qmPKyexybwFYb3UvHWZ+bNIPHHXUUZ05HsyVe//739/NWFcWhElCO7HWTMiasc2/6w8BzUxRs34Xdeprvw4vGsei/qXp4cE97nGPrn56bZu4S9hT/4aulZPSENdu29ykOFd9HF/XLT/r/d7rXvc6SxLWZT/22GN38qF/+chHPjI6bTx7PGLnWVDlnxAIgRBYKYGInSvFmchCIARC4OwEiECTBt01kLRd5w09ccrXQW94wxue3cAlj3j902xZC/CXKDUrSnnFZF15XuXgTtkYkJqp0cZr33GzrczYOJwdNq3YOQ8L/gkm9au20IZ1zHmMCTvXv/7111Zn2nTbffWb6PCsZz2rmznYnpu2L3+LMpkW3zacUx7a7TKzVrUbwrEPCN361rfuRO+aBbWbPFa9IcLVvi1BblIfo9+ZVTbi26RjD1GdYzsRxIOb1rG7bK+8tucn7avD1772tUenjD+koj21/dikMEPHPaDyKvb1rne9blkQgvVu4xqKfxXH2LMIm1Wk2Y+j0q+t8+21znHi5Tvf+c7ugY8Hadb8dbytl+qgcB70eaXdq89veMMbugeXbXxt+lU/2mOL7rd2LxpW+u43yr5qR+JUvxeJm18ie8WxqC2b8t+WWb/+yYMHJx5i+LhUzcR3z0AE9QDp5S9/+aZMTTohEAIhcFgR+NbDKrfJbAiEQAismYAbXeszuTlvb+rdDBPGuBoEOEYcvOMd79itM9bOdFy1mdI08C8bdhu/2RpmHLV5EzfxwjGv2s3zc6NvttG2DZRbLlVO8mswqkxrUCOvBmHWWlN+5zvf+dqg+34fE3WBcIILPl63XMSpiyXu4NnWqYqnjhECDKAnuSorda/iYp/fsk4d1XaU/Tx1u/xsYmangTNX+V8kr+pv+3BCecwjOlaZLJJW3684zEiUnr7DoN+HWjAeir+O8T8pr46rj15lNwOuyt7x/k86Zv/d+MY37gRXoutNb3rTbpkPcXCT0unnZVX/y2PlU9rFp+KvPLDd6+hmAFb7KT+TtsKqw/P6nxQP+wjd1iXcNJ9JNvWPT7JL/6FuyAM/1T6H/Nexal/S0F7mEfmFNUPd+pt+973vfbtlHypO2xLELKtjFqc+Q9xV/v08OU4At3REG4/99ide9cPbJDe4wQ26JScI3Y7NcsXFGxGWAqgHBcKWXZV2P66qWxiZ3Witzgtd6EKdtzZMxdMPX/+XX2UjL8rsOc95Tsex/GzTVn7wedCDHtQ9ALD+qv/7ZcJmSxroc9z3VFmb2e7aFhcCIRACIbAeApnZuR6uiTUEQuAwJUDEs5bhM5/5zNGXvvSlbnBpgG6Q9ahHPWp03HHHdYKjm103xW58raPpf4PbutmfBx+/Bhmtq/D9V775MXjwW8Z5Lc0N/tve9rad9S+lWSJqK/LKn0H56aef3m1bIYVYZqap2UvL2jSUnzatofNsm+TKHqKH2TTWCrXmVonR8k8kspYegcZalY7hYLspNy0P67bBGrSEXmvQqbcGx8W86uAsG7ya6avEBBjMDcqLfYWtuPiZll9l5WMtZl8acBske/2XEL2oU4c9sNCWS/iqcu3bJ252OS5tr5xqk9ioL9p8hV3Ujmn+2SWPD3vYw7q1Ja3tOGRbPw6D6/JnZpmvI7/gBS/o8kAgucY1rtGtqdcPV+XQij/yxQbltlsnXvXm85//fNfWhuLBV5lqhz78ob7pL4ccm4hC6uMkP5UXwpGZdV4p5bTp3axDKr6qJ2VT2w/WsUW28qGcytZ+WAKJGWHT2kQbpuJrjy26j6ufa5Y6TqDj2Cj+cmWza0Lt17m93B4cf5jO69SnjGe36k9OPPHE7nVjs2erTZR9ytOXtNU5+85f/epX3/laevkb2sqzdSo/9alPdVx8gdvr9RxOxUScys+MP/bU8aE4Kyym+HP8t9wdY6vXxAmE+ldxK7NFXK07rQ4rZ33aYx/72K6fUeZ9VuL2Sv7HPvaxLn1h9C3lxKP9lmtF5iH7LbfAfky0Yet+eiAinn47qzg3tcV/yAY2W5bFPc2QK9vVIf1dMRSXfMaFQAiEQAish8Dk0d560kusIRACIbCvCRiI3Pa2t+1uzusG380tcc/HJNzEG6jWMa8vuYH2/6zBTh+ccMQiYqlBk5+bZ+t+ESMNOlbp3LAbtPmaeytwSMcsI+lKv2yRNpHwTW96Uyf+ynv9fOjCGnXzOqKKXzs4wqvy6HilS2j6whe+cLZBiYGTPHD8vO51rxu95jWv6QQ7op1ZF2w1EKl0fFDBLLEaYArLjkte8pKjhzzkId3r1eW3tvys01U6+PkqNtvbH5vb8lm1Lbj7yIQlEWpWCnHdjCDcqxz66dZxW84HZXy0QXzqMmGyxDTlpLwqr/zzw1X47p/mf3VNGzO419688u6DEVXm5X/W1tp5bCFWqgvqdIlLk8KyyfqjBM9nPOMZ3UzFSWLbpDgWOS49+fTV7iqDSVxwwxjLy172sjsz2gikR48/NmUGpHNeTyagceJqfxgQA30orOISTnw3u9nNFjH9LH7lQfkY8BM0OLa0aTumnT//+c/fmXHmWN+VyC08/+ok18ZlX158rM2DDLPQ+OPfuda1bb493u5jIT4szG7WHtU9x5zbrSvGrgvliov/seo/HJMm18+HY+IbOu7cvM7Hcg4cONDFpdx8sI14Ll1x18//2BKAqs3Om8Yq/A1dS9Uxtrs2l83aK4GOK9tr6xhh3UeDHNMPXOISl9j5AJvz05yy0n8Q9pSVuiQertKo/9t4qt+rYziXMMa/a88rXvGK7vrV517x+eK367F+jB1+87iqc8RO7aLapQc/1qSu/qy1v9LE6jOf+UyXlrbA7nI+FnbkkUd2+eBfGzEzeJL9ykTZKEfxiI+bNx+V7qq30v/oRz/aPQgTd+XdvvJVztP6HP6qLO2LT/70F3EhEAIhEALrIfDNu6j1xJ9YQyAEQmBfEXCDPo8zW6gdjLoxdsxMKjfxt7vd7boZGL5ye97znre78Z8Vr8GIAUcJfG6wffSovhRucOKG+6STTuoGC2YeCrMqV4MNeTEYqsERO4hMZq8+4hGP6LbSZKcBkBt8eS+7iRJEKILZvM5A2wwZA68aZOBoNp/ZWI5JhyBD6DWzph1oG1SYqVezSsTjS6gGj+Lh7BOArEdXx9hqNkvL0WD58pe/fCf21WBZ+LLLPieMsPLe2vL1s7v/W+WgLhG78eek5+fjLF6jVBfW4Sp9g/nLXOYy3evrytZMKWxwJV7VzK+yQd31kQrhDfD8cFZuPljxpCc9qbx25YQb/uLS7syUMstIu2rzZjAsTmWvjDkzmqrMyt6dyKfsaEOWJPBhmqtc5SpdnPJ25plndmvl+WDMkFPP8SAwENI9ELCObTnH1NOy1fELj7+KXW2i/C2ylS/pERrYrB5UXRCP9qhO46Zu8u9Dafqbcs6b2UZ4Zgux04x0vFt+zr35zW/uBH79Ck7KTl0zg5bfRThX+sqJzezAhq0E74rLVtzauTJXH8quiqO2Xps1y1odUWcImgSqiqP8YaFszMSSvv8JMsLjyUnnwx/+8Mx84aTOY3PPe96zS+uFL3zh6EY3ulFXT1txo9KftOW3BCU2Y0IUUnfsV779r98hclefw78+jS1sr4cGlRZ/znkI0taROj/PVp/nR0iThmuXOq+/5Njnx76HP/zhndipDbfC1zzp7NYPBpx+oLhUXHUOA2Wt79FXeDijvvBffPm1b7Zx1Qflwk8/3oq/3QrvIQA71GllJ65+OhWGTcVIHXdtLaddu3ZIX78nPv2rumrGI9blpKtc+CG68X/pS196rnuLiqO24ikO6jhWZrq6Ztfx8st+dmAjXXlvHRu8Uk/A1I/4mBh3hzvcodu23LUBZVL9uLLSlvfaybMfIdn6za5X6lBd46p+6Dv1oWyufLG9mLlO6Duxwlj7wKech3/Kr+qZcD64pgziQiAEQiAEFicQsXNxZgkRAiFwGBMwcHEDOsnVDa7XfIkNBqUGHeWs0WXmF0HSDa2b+XmdG16DoUrD1qCWiGIWW91QEyEMksrfvPHP688gy4L7ZkUavEhHel6fe8tb3rLDx3F5ZDd/nGNu9g14rGc2rxhAUMHOtgYYhEuzvU4bf9FUXAYfZhvhLr1KU7oGHwQI62Zx7MLOgKMGEsq2xFB+DOrf9a53nU2oFM6sUDNBJ9UF+TQA8mEdr/4TXVbt2GpQWPVLmhwBogZLq06zjY+gZ6YfrvKqfE4++eSO2THHHLPzBWJ2GbD7SrKPa6ifvm6vnAyOL3axi41uc5vb7AwC+SdsmzFYXx/mz6uUZo+K2/IHBALxGoASfUukU7+0v0XE9MpXlae6QBRSNxwjJLHfwJ4r1uoYIcPrsYQpeVMetq17z3ve09VVs7CFUe/ZbSC7jJN/awIqi7vc5S6j6173up24In2ivzXkfPUXP67sts+GC1zgAt2HZvQfn/zkJ0cvetGLuvIzoNc2OHF5oEL8K6FUezKzl/jFFbfunzn+sEMYH+zATdxEW3Xp6KOP7hiyTzrWgjWbTV79P+T4JZ4cccQRXf3wvzqg/alLlRdhzc46cyxeE7LUW/2Jmbz6lhICvZZ7y1vesmtf1T8MpeuYGZ0PfOADd/ryu93tbt0MX+kv4uStykn7ZaP2whZ1muNHv2sWPVuLhzqlPlk25MB4BiOureOPiGQtRXYpU4wWccqsfspOXSB4EjvN+NcecTYb0hbftr4tktZu/LJpUp9d8blOKWf1HGvXYWHUO22eU88c++AHP7jzUEWfqj8h9M9y7LA0BFHSWrTazinjV+fxUa7FhD+ctE+z0pWH9uTayvlfe1auZuv7X3hcvYHAvhJJ+VdP9ZfKWX3w9oG6Kb15ypo9/GkfhNqq92WzB7T6Bf01u/kXt75c/4jbwYMHu7c3xFP2qiceQpQNrhNPecpTuocNPrjUcnf/UP2VOquslNm2ONfcd7/73V2fr+903eK0ReWibVoOxBrA+pZy8qIeKB/XB2wJxPqs448/foeVt0U8hJGO8OqdB9qtAF5xZhsCIRACITCbwFnvxmf7j48QCIEQOGwJ3Oc+9+mEgRLbhkDUQIb4ZkBihqEb1joujMGD3yJOeIKZQZjBkFk9NdA16Kj9ReLcjV92GET5sIcBXHsTPskOxzlhDYoMwK51rWstnLwBFrGp5Y+tQYTBJcePgV6laYBl3yDE63mLOINMAw1p9J3ym4d5DRj74ffL/2YYGZypD0R3rAy2iQjWuyunDAg2Brb2bYmdRCLrTtbxaie2ZlZqQ0Q1vA0ozfx73OMe162Ly4+4lLmBof/xJnoblBMSK76yY56tOqNsTz311E4YUgf8b9kAoiVX8UqffzPmbDEgAFmrs3XCWkOPwCJs1cvWz273cSEQEFzVffEXY+3FeXzw9xovsaHsLzve+MY3dh9K8YV04iIxqHX81eDdzCP+iT/iqfRa//Psi/MmN7lJ91V2XIki4iIIsL8cf4SU9lid62+vc53rdIKe/lcYbdi6nK0rFiU4qFtEB5wqL9LqC9ZtHO2+8K1f+44t6sx+008R+dliFpgZrf24CFHEbbNSiaHqpnLXDgkohOu+2KmNEILlE0+/RRwuHhQR/NlYD1jYSXQjVnP8qWd71e9Vn63s+06eMSPa1XIX7Cccm43bOrycIyaqC9rvgbGIzImnXybdid4fS1p4mKkvVD5mNvYdXuqjOLUr11azr9vy0d+Jhyhmi632N2RDCYeudSWa9tOc9L98sseMaNfpfvz69tPGDxaJfa3Tx+j/iLs1a7POy4frtQcO8tfWG7PJzxwL+q0r7rbyqayUWcuj9b/pfeUo/x4kuYchdmLm1fz73e9+3b2NezMP/fpOHuQfZ+L24x//+G7N2NafPGvP1Z/UtvWT/RAIgRAIgfkJLH43Nn/c8RkCIRAC+4oAUcZsn3nXQ3zCE57QzUww88sNbjn7NbAgzHi11wCx9VN+a+uG2nmDHQMB/ltXcda2PbfKfXZwFto3eMOCPZXupK0BkYEjIcNHULhFBzBmuRBhzAQrXtITj4GUH1c2SM/Aw8DN62LtIKLzOOMPm0uEG/Ja6UzaGizWuaHw++WYOmmmJbFKuSgPQqYBXf282kcIJMYoJ2VzzWtesxNQMKpBcDGpembQbj1SA+YSFIk94hO3rfIVr5/BKLHIcgRcxVPxLrIlmBBsiQYEQHVBepV2pe/1VPnhx9ICxx57bJdMm7a6pJ1UnegLCYvY1fcrLunjULbZ4qQscDMDmEhF8OJa2+zjRiSr18CrnKpdiUM++TOj2auqBuJ+bVzSxIlNRBw2zXI+8kUoIewJX2nalh3i0U/WT7tWx1pX/YnlAdTHSr/iqHixkh8PSQi2ZifXjPnKi7Bs8b/6Wba06dW+cmULf1xt6/wiW7PmlRPRQ/rqTdldNpjBzJ/ZiMoZE3nHnR9hyrHLebxca2Y5XPj1s1+uuBBRiXhs4MdxPMtGrNmtvJz3P8emiqPinGeLrbLAVB7F27/2tfHoY+R3WhkQz4hTZuZpsxj164i0HHfdUB71KvG0eFs7qi7e//737x7OuGYVo/626qJX/6vvqLgqHstnmA1Z5S2Ovs2OYc+PNmB2IeaLcleewshrccdU3Gztp8u/a/q067oPFlmfnI36EWUqby0L8WKuTJSNMlJWizo2agvsYvOyTjxtPyZuaVQ7w0p/50HLFa94xZ122ObNfvnXdgjgZq1yVcb2i3m7dTwuBEIgBEJgdwQys3N33BIqBEJgywkYELlBNTh348i54XSTuhvnhvaCF7zg6MB4doeb1RpwGYwZRLp5b53zRCBP+6XvdVK2lHPeQIrAQPRx3heEWz/lt91Kx6DCzAKDg5opxo905K9vi3NutOW/f04cNVjmjzPgcIM/ybGdEGQmkg8NWatRHCUYVDj21IADO2LxwfFrbpw4qly6AzP+4G+mjRlbBtHSxL1mXRIHyomXH+tq3f3ud+9EJrZxNYgzwDAQMnCpsPbLH7/+x2K3whTW+MrrNMcWdZXdlZa8SXuacx73YiBvnLDtAGpaHKs4J9073/nO3SxYr5MT1tp6OZSGAS+x5spXvnJ3eshex/DwaucTn/jErq5ZN067qbwKjJuywtA5r7m3M47b9LWBGrjO6guUm1mQD37wgzuhnFBP0O07/tRzop0BrFcQHauy5F+ZsHGROt9Pp/7X5yj31uGhTWojxUZaRBZrwpn1aW1Oboi1415Htjau2YJmJtXsOPWYeEL0NZvJjFuujUea0jvuuOO69U7NhiWIPvShD92ZpdQF6v3BSVmpP4RYcSpr5aRdyiubzGpzrvLGpirjOlZRE869Sm72oyVDvJbbiunKwXlCpzTr4ykV3lbfccIJJ3SihPpiRuStbnWr1svOvj7NDGXM9B/qFbt368ygtH4tDtrTkO0euknr6U9/eseXf+K7fr5EFVwe9KAHdX0hdmZhz3KuV+Lh1H2u+Cor7drSABiy65nPfGa3/IC6Ig1bs5ot9eHh0umnn97NdjM7e9a1rUus90f/YMaq5SsOjK+9+v1przUTBeXf2wPSK9srWjaqp9qE9aW1D68de3BX/Si/2qu0vVZsfWlO2L7TB6sfyrx/zcQLB9d4a7p6Fb21R3zSdP23DIBZ1/pO4dp+wv/aNaG5GCv3M8ezIlum2gRxVZ32kMi5IZv7eej/36atHuvzsGKrD6L58FRbJ7VV9wK1REw/Pvbzj4MHwB6QePVd3egztwawePTjygivfh4cc+3WBw61M4Jx3dfoj1rmfdv8z35x4TV0zfVGjf6HQKmM9evKu9pZxemVfB95M/PTNaDvqhz1K4Roea+yLubiVZ8cV57Sm2V/P538HwIhEAIh8E0CETu/ySJ7IRAC+4iAm2UD1PY1oBo47yabdTNqEEFMMfjg3IwSEfoiCP9uWA0wDYTdfBsIVjzCCWMQaKDjtTSv6LaDl76dbnoNIK0vRwAwgKoPi/ArPYKFQaob5dbJu7W2zJho3bWvfe1u1lx/0FEzwFq/tS8PBiBu+r1mZjaNwSKxln3l+DHDjlhlVuZRRx3V3bjLR3Eov7O2/Fc4axMakL/yla/sZrG0aYpHXpWTtTLbdfNqYMGP/HoFTTmU2GnfYLNEqqtd7WpdPqushVvESU/ZWstrmjMwwlEei4s8zFofzgxG8VedqUERMWposDXNhmXOsZmYTQQxMDST2YCvXy7SYCO+hDODQ+JJWy59O2qgazBtUPrsZz+7G1BWnvnHyuufZtVoY2YRcRXWftUdA27CHZsPjMWTaY4ftmk3BE8D7P4r0eLVxxDHzE40qB/Kj1dTvS6rvRKpqqympT/pnFdCjx6va9nWS6yteUlAKO64EAzYJd8tj37czmnzfvoW/VXFX+2JOG2G21A88uPHD076GbO/iXKOD4VhQzGWZn38yevbBv24EhSkqS8fcv14/a9uyLcf8cLyAZUXcRCy9A1msXL98vK/B1WWIzDLjBBCRNKnDPkVz73uda+R9Vj1gTe96U0XXjKjM6T5Y2aqh2peEe/3zcScEi6LmTbHVvaVOIc7/q3r21/nqvz6rz63/qussNQHc9h4AFHCjfbn42jllIH6KD9tGdT5WVuCtqUOXGO0V9derl/ujrFVf6i+qzuug+31nx+u8mrpDc5H1lwv9UXl9DX6p/4r5XXeFg8P38yk1P/0r5nOc2Ynqh9EW2nXcfZiIh3XR67l3R0Y/ynuhNMqbzy09xIdxev6hb17H24oru7EAn9wka7+htN29HVtWTpmVuOkvpz9ysu22rFrrjrcZ+7hZH3gaKiM2aBM1WvctcnWybMHMkRs7UcZT4qnwrkHcr0Ur7Kq8nFefMR193CWZ9EXsl2/pMzLScPbB+qLGeNtvspP1TFrLHNt+VS9EF49Uq7i1JdVGVc82YZACIRACMxP4OtX4vn9x+cGCIwvel+fnrOBtJJECOxHAnXjuOq8zYq3bl5LLJs3fV/gNNPILB6DRoMWApnBkZvw/s16xW+dsVPG62YajHBuwK1dSRyY5io++Smhb8h/5WfoXHuMPWaaeN2vFdkMDMxaIeQNzZ7qx9H+P8++V4ZPG68h1hePiC2ECgOiSXkwoGkHNW16+Mxi0/pfZn9WnaqyGkqj6sHQuU0fa/PhgypmlCmXvpMfdc4rigbMk8qnH67Kg8BvdlDVef6U99HjwXgJAfz6Dbk+s2l8K3ylbcaNGTlt3WG/Qa5Zf4Q+g9yKs/wJb5/t6qxZx/63DmAJbpVWux3KR9nS+qt9ArMZWNUGcTHLjlC8KOeKs7+tvPWP1/99++ZNt8IXs/q/trPSLX/ttm9Le87+LNv6tkzyr04RVrwOb9kDH1nRB/f99+te3572f7ZLf5KbFXf//KR4ljk+ia/j9WuvL45x0/LVt0eYvv+Ku+/X/87106x05/Hf9zOLY79Mh+pp308/Df9Py9OQ/2lxzrJ5KD7HxEmQ8zEwb5p46CA/Hq74+GC/HPrxzJtuv4wWjYcdrS39dNv4++f6abV+69xQGfbTLL9t/ENxlb92y59f301Ko+8v/4dACGwvgXE7nnzh3l6z97VlKZAtLN7xRfDsV8EttDMmhcDhTmDSTSuxcsgZhLWDFPtmaJhZYHZEzciaJXZW3G1cdWySTXV+XdshWyqteWyaFr7iWXQ7NGhZNI5F/C87WJmH0yx7lrVhVvyzzsvDPPd6u83rtHqy7vKexbaf/pB/r8wS4T3UsBTFomLnNP5D6fHft2taHDm3OAF10iyzevhkTVOzK/vcp9XdeVLdbZuZJ+5N+ZlURxdJfz9wWCS/m/Krfs4SO/t1elO2HQ7pLNs/HA6MkscQ2HYC42tctLUtK6S8xr5lBRJzQiAEDl0CNeg1w8srUSVeevpvxpc1ubzG1b6C67VWrr0+GlBMEkxbOkPCkmN74YZsYcdeDUz3isNesN+2NCfVhdbO3ZbPpLh3G19r06z9SWkLNy39CmcGt+Uq9A1eE9+EcDDNrln5zfn5CRA7rUNo9m9cCIRACIRACIRACITA3hOI2Ln3ZRALQiAE9hEBaz56pduHDc78xgcECA4Ejpe85CWjd7zjHZ3Y6RgR1CuttvXqnZkV1vK07psw05w4tkXM2Gtb9jr9aeV0OJ0j2iuLdQl5e13Ou8kXJl5vJnRaz826hr5MXOsurqp+7DWbVeXjUIzHGqPWCfQquzVe40IgBEIgBEIgBEIgBPaWwPSR9N7altRDIARCYOsJ9GdkEjIskE+oJIxYXJ4Iwfl4xSc/+cmd/4UlcnqlteIRxsxPH/io15rq3NbD2GMD95JTlfEyCMp+cdX+ovHtNtyi6czjf5tsmcfeVfmp8mvz78NBp556avcRJet2Wst2XtfGM2+Y+NssgQMHvv6lcB+b4fTjbbmtsn/YbM62M7WW7XZaeGhahes0ttPOHZo5jtUhEAIhEAL7mUDEzv1cuslbCITARgm0AwFfyvYRFh+u8Aq7wS4Rs32FvW+c8D7qY+ujADXbs+9vv/3fcttt3sSxCkFhmfRXlY/d2rAt4VbBYVvyshs75L/P4HrXu153zIOQ/heyJ6XRj2OSvxzfWwL6nfOf//w7Xwr39NzXGQAABppJREFUf7/s+v/vrcVJPQSGCVQ9tVWP65pax4dD5eiyBMJ3WYIJHwIhEALDBCJ2DnPJ0RAIgRCYSWDaDerDHvawTqw8+eSTR1/72td21u+cFKlX2f18SflKV7pS99Gi8jstnfKT7VnXPT2UeeyH8t4PeVhVHSIYHHPMMVPFsElpheMkMtt7fJ1lts64t5foWS0Lg7PyWPV/+qu6HzFD2X65sC8S2YZACIRACBwKBL71UDAyNoZACITAoUjAup1+vrQ+y/mYEVH0dre73eikk06a5T3nQyAEDhECfYGg//8hko2YGQIhcBgQsHyO+5F6E6U+tHgYZD1ZDIEQCIEQ2GcEvmWf5WdfZGf8VHVvPqe8L+glEyGwfQTe8IY3jO50pzuNznnOc57NOM3dR4le+9rXji5zmct063Se61znOpu/HAiBEAiBEAiBEAiBdRLwcParX/3qzoxO64+f+9znXmeSiTsEQiAE9gWB8cPsaGtbVpIpkC0rEOZE7NzCQolJIbAEAYOHM844Y+IanF4Vu9rVrjbzVfclTEjQEAiBEAiBEAiBEAiBEAiBEAiBNRCI2LkGqEtGGbFzSYDrCB6xcx1UE2cI7A0BMzfnfdC3iN+9yU1SDYEQCIEQCIEQCIEQCIEQCIEQaAlE7GxpbMd+1uzcjnKIFSEQAvuUwLxCp+wv4nef4kq2QiAEQiAEQiAEQiAEQiAEQiAEQmApAhE7l8KXwCEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAttCIGLntpRE7AiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEFiKQMTOpfAlcAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEwLYQiNi5LSURO0IgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBJYiELFzKXwJHAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhsC0EInZuS0nEjhAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgaUIROxcCl8Ch0AIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIbAuBiJ3bUhKxIwRCIARCIARCIARCIARCIARCIARCIARCIARCYCkCETuXwpfAIRACIRACIRACIRACIRACIRACIRACIRACIRAC20IgYue2lETsCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQWIpAxM6l8CVwCIRACIRACIRACIRACIRACIRACIRACIRACITAthCI2LktJRE7QiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEliIQsXMpfAkcAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiGwLQQidm5LScSOEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBpQhE7FwKXwKHQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAhsC4GIndtSErEjBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEJgKQIRO5fCl8AhEAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhEALbQiBi57aUROwIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRBYikDEzqXwJXAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhMC2EIjYuS0lETtCIARCIARCIARCIARCIARCIARCIARCIARCIASWIhCxcyl8CRwCIRACIRACIRACIRACIRACIRACIRACIRACIbAtBCJ2bktJxI4QCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIEQCIGlCETsXApfAodACIRACIRACIRACIRACIRACIRACIRACIRACGwLgYid21ISsSMEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQiAEQmApAhE7l8KXwCEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAttCIGLntpRE7AiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEAiBEFiKQMTOpfAlcAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEQAiEwLYQiNi5LSURO0IgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBEIgBJYiELFzKXwJHAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhEAIhsC0EInZuS0nEjhAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgRAIgaUInGOp0Am8LgInrCvixBsCIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIRACIbDFBP4/28/c0uh9pr0AAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "There are three kinds of points.\n", + "\n", + "- **Core points** are the points that have at least `min_samples` points in the neighborhood.\n", + "\n", + "- **Border points** are the points with fewer than `min_samples` points in the neighborhood, but are connected to a core point. \n", + "\n", + "- **Noise points** are the points which do not belong to any cluster. In other words, the points which have less that `min_samples` point within distance `eps` of the starting point are noise points. \n", + "\n", + "![DBSCAN.png](attachment:DBSCAN.png)\n", + "\n", + "Picture from \"Introduction to Data Mining\", by Tan, Steinbach and Kumar.\n", + "\n", + "Let's see it in action: https://www.youtube.com/watch?v=h53WMIImUuc" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### DBSCAN algorithm \n", + "\n", + "- Pick a point $p$ at random.\n", + "- Check whether $p$ is a \"core\" point or not. You can check this by looking at the number of neighbours within epsilon distance if they have at least `min_samples` points in the neighbourhood\n", + "- If $p$ is a core point, give it a colour (label). \n", + "- Spread the colour of $p$ to all of its neighbours.\n", + "- Check if any of the neighbours that received the colour is a core point, if yes, spread the colour to its neighbors as well.\n", + "- Once there are no more core points left to spread the colour, pick a new unlabeled point $p$ and repeat the process." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### K-Means vs. DBSCAN\n", + "\n", + "- In DBSCAN, you do not have to specify the number of clusters! \n", + " - Instead, you have to tune `eps` and `min_samples`. \n", + "- Unlike K-Means, DBSCAN doesn't have to assign all points to clusters. \n", + " - The label is -1 if a point is unassigned.\n", + "- Unlike K-Means, there is no `predict` method. \n", + " - DBSCAN only really clusters the points you have, not \"new\" or \"test\" points." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Illustration of hyperparameters `eps` and `min_samples`" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_blobs(random_state=0, n_samples=12)\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster memberships:[-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1]\n" + ] + } + ], + "source": [ + "dbscan = DBSCAN()\n", + "clusters = dbscan.fit_predict(X)\n", + "print(\"Cluster memberships:{}\".format(clusters))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "- Default values for hyperparameters don't work well on toy datasets. \n", + "- All points have been marked as noise with the default values for `eps` and `min_samples`\n", + "- Let's examine the effect of changing these hyperparameters. \n", + " - noise points: shown in white\n", + " - core points: bigger\n", + " - border points: smaller" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "min_samples: 2 eps: 1.000000 cluster: [-1 0 0 -1 0 -1 1 1 0 1 -1 -1]\n", + "min_samples: 2 eps: 1.500000 cluster: [0 1 1 1 1 0 2 2 1 2 2 0]\n", + "min_samples: 2 eps: 2.000000 cluster: [0 1 1 1 1 0 0 0 1 0 0 0]\n", + "min_samples: 2 eps: 3.000000 cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n", + "min_samples: 3 eps: 1.000000 cluster: [-1 0 0 -1 0 -1 1 1 0 1 -1 -1]\n", + "min_samples: 3 eps: 1.500000 cluster: [0 1 1 1 1 0 2 2 1 2 2 0]\n", + "min_samples: 3 eps: 2.000000 cluster: [0 1 1 1 1 0 0 0 1 0 0 0]\n", + "min_samples: 3 eps: 3.000000 cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n", + "min_samples: 5 eps: 1.000000 cluster: [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1]\n", + "min_samples: 5 eps: 1.500000 cluster: [-1 0 0 0 0 -1 -1 -1 0 -1 -1 -1]\n", + "min_samples: 5 eps: 2.000000 cluster: [-1 0 0 0 0 -1 -1 -1 0 -1 -1 -1]\n", + "min_samples: 5 eps: 3.000000 cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.plots.plot_dbscan()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Observations\n", + "\n", + "- Increasing `eps` ($\\uparrow$) (left to right in the plot above) means more points will be included in a cluster. \n", + " - `eps` = 1.0 either creates more clusters or more noise points, whereas eps=3.0 puts all points in one cluster with no noise points. \n", + "- Increasing `min_samples` ($\\uparrow$) (top to bottom in the plot above) means points in less dense regions will either be labeled as their own cluster or noise. \n", + " - `min_samples=2`, for instance, has none or only a fewer noise points whereas `min_samples=5` has several noise points. \n", + "- Here `min_samples` = 2.0 or 3.0 and `eps` = 1.5 is giving us the best results. \n", + "- In general, it's not trivial to tune these hyperparameters. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Question for you\n", + "\n", + "- Does the order that you pick the points matter in DBSCAN?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> No. Any of the cluster's core points is able to fully identify the cluster, with no randomness involved. The only possible conflict you might get is that if two clusters have the same border point. In this case the assignment will be implementation dependent, but usually the border point will be assigned to the first cluster that \"finds\" it. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Evaluating DBSCAN clusters \n", + "- We cannot use the elbow method to examine the goodness of clusters created with DBSCAN. \n", + "- But we can use the silhouette method because it's not dependent on the idea of cluster centers. " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_blobs(random_state=100, centers=3, n_samples=300)\n", + "dbscan = DBSCAN(eps=2, min_samples=5)\n", + "dbscan.fit(X)\n", + "plot_X_dbscan(X, dbscan)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [], + "source": [ + "# Yellowbrick is designed to work with K-Means and not with DBSCAN.\n", + "# So it needs the number of clusters stored in n_clusters\n", + "# It also needs `predict` method to be implemented.\n", + "# So I'm implementing it here so that we can use Yellowbrick to show Silhouette plots.\n", + "n_clusters = len(set(dbscan.labels_))\n", + "dbscan.n_clusters = n_clusters\n", + "dbscan.predict = lambda x: dbscan.labels_" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "visualizer = SilhouetteVisualizer(dbscan, colors=\"yellowbrick\")\n", + "visualizer.fit(X) # Fit the data to the visualizer\n", + "visualizer.show();" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Summary: Pros and cons\n", + "\n", + "- Pros\n", + " - Can learn arbitrary cluster shapes\n", + " - Can detect outliers \n", + "- Cons\n", + " - Cannot `predict` on new examples. \n", + " - Needs tuning of two non-obvious hyperparameters \n", + "\n", + "There is an improved version of DBSCAN called [`HDBSCAN` (hierarchical DBSCAN)](https://github.com/scikit-learn-contrib/hdbscan). \n", + "\n", + "Typical applications of DBSCAN include clustering of geospatial data, market segmentation, and computer vision." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### DBSCAN: failure cases\n", + "\n", + "- DBSCAN is able to capture complex clusters. But this doesn't mean that `DBSCAN` always works better. It has its own problems! \n", + "- DBSCAN doesn't do well when we have clusters with different densities. \n", + " - You can play with the hyperparameters but it's not likely to help much." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### DBSCAN: failure cases\n", + "\n", + "- Let's consider this dataset with three clusters of varying densities. \n", + "- K-Means performs better compared to DBSCAN. But it has the benefit of knowing the value of $K$ in advance. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X_varied, y_varied = make_blobs(\n", + " n_samples=200, cluster_std=[1.0, 5.0, 1.0], random_state=10\n", + ")\n", + "plot_k_means_dbscan_comparison(X_varied)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "



" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Hierarchical clustering [(video)](https://www.youtube.com/watch?v=NM8lFKFZ2IU)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Motivation\n", + "\n", + "- Deciding how many clusters we want is a hard problem. \n", + "- Often, it's useful to get a complete picture of similarity between points in our data before picking the number of clusters. \n", + "- Hierarchical clustering is helpful in these scenarios. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Main idea\n", + "\n", + "1. Start with each point in its own cluster. \n", + "2. Greedily merge most similar *clusters*. \n", + "3. Repeat Step 2 until you obtain only one cluster ($n-1$ times)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Visualizing hierarchical clustering\n", + "\n", + "- Hierarchical clustering can be visualized using a tool called **a dendrogram**. \n", + "- Unfortunately, `sklearn` cannot do it so we will use the package `scipy.cluster.hierarchy` for hierarchical clustering." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Hierarchical clustering input and output" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy\n", + "X, y = make_blobs(random_state=0, n_samples=11)\n", + "linkage_array = scipy.cluster.hierarchy.ward(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_X_dendrogram(X, linkage_array, label_n_clusters=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- Every point goes through the journey of being on its own (its own cluster) and getting merged with some other bigger clusters. \n", + "- The intermediate steps in the process provide us clustering with different number of clusters. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Dendrogram\n", + "\n", + "- Dendrogram is a tree-like plot. \n", + "- On the x-axis we have data points. \n", + "- On the y-axis we have distances between clusters. \n", + "- We start with data points as leaves of the tree. \n", + "- New parent node is created for every two clusters that are joined. \n", + "- The length of each branch shows how far the merged clusters go. \n", + " - In the dendrogram above going from three clusters to two clusters means merging far apart points because the branches between three cluster to two clusters are long. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### How to plot a dendrogram? " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.cluster.hierarchy import dendrogram\n", + "\n", + "ax = plt.gca()\n", + "dendrogram(linkage_array, ax=ax)\n", + "plt.xlabel(\"Sample index\")\n", + "plt.ylabel(\"Cluster distance\");" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### What do we mean by distance between clusters?\n", + "\n", + "- We know how to measure distance between points (e.g., using Euclidean distance). \n", + "- How do we measure distances between clusters? \n", + "- The **linkage criteria** determines how to find similarity between clusters:\n", + "- Some example linkage criteria are: \n", + " - single linkage (minimum distance)\n", + " - average linkage (average distance)\n", + " - complete (or maximum) linkage (maximum distance)\n", + " - ward linkage " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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c1c2distance(c1, c2)# observations
00.02.00.3320952.0
15.09.00.6458022.0
27.011.00.9112723.0
33.012.00.9890593.0
44.013.01.0725654.0
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" + ], + "text/plain": [ + " c1 c2 distance(c1, c2) # observations\n", + "0 0.0 2.0 0.332095 2.0 \n", + "1 5.0 9.0 0.645802 2.0 \n", + "2 7.0 11.0 0.911272 3.0 \n", + "3 3.0 12.0 0.989059 3.0 \n", + "4 4.0 13.0 1.072565 4.0 " + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame(Z, columns=columns).head()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "- The linkage returns a matrix `Z` of shape `n-1` (number of iterations) by 4:\n", + "- The rows represent iterations. \n", + "- First and second columns (c1 and c2 above): indexes of the clusters being merged.\n", + "- Third column (distance(c1, c2)): the distance between the clusters being merged.\n", + "- Fourth column (# observations): the number of examples in the newly formed cluster." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Creating dendrogram with `single` linkage" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dendrogram(Z)\n", + "# Z is our single linkage matrix\n", + "plt.title(\"Dendrogram (Single linkage)\");" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### `average` linkage \n", + "\n", + "- Merges two clusters that have the smallest average distance between all their points. \n", + "- `scipy.cluster.hierarchy`'s `average` method gives us matrix `Z` with the merging information using average linkage. " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Z = average(X)\n", + "dendrogram(Z)\n", + "# Dendrogram with average linkage\n", + "plt.title(\"Dendrogram (Average linkage)\");" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### `complete` linkage\n", + "\n", + "- Merges two clusters that have the smallest maximum distance between their points. " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Z = complete(X)\n", + "dendrogram(Z)\n", + "# Dendrogram with complete linkage\n", + "plt.title(\"Dendrogram (Complete linkage)\");" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### `ward` linkage\n", + "\n", + "- Picks two clusters to merge such that the variance within all clusters increases the least. \n", + "- Often leads to equally sized clusters. " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Z = ward(X)\n", + "dendrogram(Z)\n", + "# Dendrogram with ward linkage\n", + "plt.title(\"Dendrogram (Ward linkage)\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Hierarchical clustering on UN Subvotes dataset\n", + "\n", + "- Let's use a dataset of votes on UN resolutions:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(17, 368)\n" + ] + }, + { + "data": { + "text/html": [ + "
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vote
rcid2491249224972504251025262563261026412645...5321533353375358536353645365536753835385
country
Australia1.02.01.03.03.03.01.01.01.01.0...1.01.01.01.02.01.03.01.03.03.0
Austria1.01.01.02.02.02.01.01.01.01.0...1.01.01.01.02.02.02.01.03.03.0
Brazil1.01.01.01.01.02.02.03.01.01.0...1.01.01.01.01.01.01.01.01.01.0
Colombia1.01.01.01.01.02.01.02.01.01.0...1.01.01.01.01.01.01.01.01.01.0
Denmark1.01.01.02.02.03.01.01.01.01.0...1.01.01.01.02.02.02.01.03.03.0
\n", + "

5 rows × 368 columns

\n", + "
" + ], + "text/plain": [ + " vote ... \\\n", + "rcid 2491 2492 2497 2504 2510 2526 2563 2610 2641 2645 ... 5321 5333 \n", + "country ... \n", + "Australia 1.0 2.0 1.0 3.0 3.0 3.0 1.0 1.0 1.0 1.0 ... 1.0 1.0 \n", + "Austria 1.0 1.0 1.0 2.0 2.0 2.0 1.0 1.0 1.0 1.0 ... 1.0 1.0 \n", + "Brazil 1.0 1.0 1.0 1.0 1.0 2.0 2.0 3.0 1.0 1.0 ... 1.0 1.0 \n", + "Colombia 1.0 1.0 1.0 1.0 1.0 2.0 1.0 2.0 1.0 1.0 ... 1.0 1.0 \n", + "Denmark 1.0 1.0 1.0 2.0 2.0 3.0 1.0 1.0 1.0 1.0 ... 1.0 1.0 \n", + "\n", + " \n", + "rcid 5337 5358 5363 5364 5365 5367 5383 5385 \n", + "country \n", + "Australia 1.0 1.0 2.0 1.0 3.0 1.0 3.0 3.0 \n", + "Austria 1.0 1.0 2.0 2.0 2.0 1.0 3.0 3.0 \n", + "Brazil 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", + "Colombia 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", + "Denmark 1.0 1.0 2.0 2.0 2.0 1.0 3.0 3.0 \n", + "\n", + "[5 rows x 368 columns]" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "votes_df = pd.read_csv(\"../data/subvotes.csv\")\n", + "votes = votes_df.pivot(index=\"country\", columns=\"rcid\")\n", + "votes = votes[np.sum(np.isnan(votes), axis=1) < 1]\n", + "print(votes.shape)\n", + "votes.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- We have 17 countries and 368 votes. \n", + "- Let's cluster countries based on how they vote. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- We'll use [hamming distance](https://en.wikipedia.org/wiki/Hamming_distance) here because we are interested in knowing whether the countries agreed or disagreed on resolutions. " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Z = linkage(votes, method=\"average\", metric=\"hamming\")\n", + "fig, ax = plt.subplots(figsize=(18, 10))\n", + "dendrogram(Z, p=6, ax=ax, labels=votes.index);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### (Optional) Truncation\n", + "- If you want to truncate the tree in the dendrogram (specially when you have a big $n$) you can use the `truncate_mode`. " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Z = linkage(votes, method=\"average\", metric=\"hamming\")\n", + "fig, ax = plt.subplots(figsize=(18, 10))\n", + "dendrogram(Z, p=6, truncate_mode=\"lastp\", ax=ax, labels=votes.index);\n", + "# p is the number of leaves when truncate mode is \"lastp\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- Alternatively, you can truncate the tree down to $x$ levels from the single cluster:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(18, 10))\n", + "dendrogram(Z, p=6, truncate_mode=\"level\", ax=ax, labels=votes.index);\n", + "# p is the max depth of the tree when truncate_mode is \"level\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's go back to our toy dataset to understand truncation better. " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plt.gca()\n", + "dendrogram(linkage_array, ax=ax)\n", + "plt.xlabel(\"Sample index\")\n", + "plt.ylabel(\"Cluster distance\");" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dendrogram(Z, p=3, truncate_mode=\"level\");\n", + "# p is the max depth of the tree" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dendrogram(Z, p=4, truncate_mode=\"lastp\");\n", + "# p is the number of leaf nodes" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Flat cluster \n", + "\n", + "- To bring the clustering to a \"flat\" format, we can use `fcluster`" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.cluster.hierarchy import fcluster\n", + "\n", + "cluster_labels = fcluster(Z, 6, criterion=\"maxclust\")" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " 0\n", + "country \n", + "Australia 2\n", + "Austria 1\n", + "Brazil 5\n", + "Colombia 4\n", + "Denmark 1\n", + "Finland 1\n", + "Italy 1\n", + "Japan 1\n", + "Malaysia 3\n", + "Netherlands 1\n", + "Norway 1\n", + "Peru 4\n", + "Portugal 1\n", + "Spain 1\n", + "Sri Lanka 3\n", + "UK 1\n", + "USA 6" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame(cluster_labels, votes.index)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To understand this better, let's try it out on our toy dataset. " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## ❓❓ Questions for you" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "**Which statements are TRUE?**\n", + "\n", + "- (A) With tiny epsilon (`eps` in `sklearn`) and min samples=1 (`min_samples=1` in `sklearn`) we are likely to end up with each point in its own cluster. \n", + "- (B) With a smaller value of `eps` and larger number for `min_samples` we are likely to end up with a one big cluster. \n", + "- (C) K-Means is more susceptible to outliers compared to DBSCAN. \n", + "- (D) In DBSCAN to be part of a cluster, each point must have at least `min_samples` neighbours in a given radius (including itself). \n", + "- (E) In DBSCAN, it is generally a good idea to run DBSCAN with a large number of different random orderings of training examples. \n", + "\n", + "



" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "**Which statements are TRUE?**\n", + "\n", + "- (A) In hierarchical clustering we do not have to worry about initialization. \n", + "- (B) Hierarchical clustering can only be applied to smaller datasets because dendrograms are hard to visualize for large datasets.\n", + "- (C) In all the three clustering methods we saw (K-Means, DBSCAN, hierarchical clustering), there is a way to decide the granularity of clustering (i.e., how many clusters to pick). \n", + "- (D) To get robust clustering we can naively ensemble cluster labels (e.g., pick the most popular label) produced by different clustering methods. \n", + "- (E) If you have a high Silhouette score and very clean and robust clusters, it means that the algorithm has captured the semantic meaning in the data of our interest. \n", + "



" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Applying clustering on face images " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- We'll be working with `sklearn`'s [Labeled Faces in the Wild dataset](https://scikit-learn.org/0.16/datasets/labeled_faces.html). \n", + "- The dataset has images of celebrities from the early 2000s downloaded from the internet. \n", + "\n", + "> Credit: This example is based on the example from [here](https://learning.oreilly.com/library/view/introduction-to-machine/9781449369880/ch03.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "import matplotlib as mpl\n", + "from sklearn.datasets import fetch_lfw_people\n", + "\n", + "mpl.rcParams.update(mpl.rcParamsDefault)\n", + "plt.rcParams[\"image.cmap\"] = \"gray\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Example images from the dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "people = fetch_lfw_people(min_faces_per_person=20, resize=0.7)\n", + "\n", + "fig, axes = plt.subplots(2, 5, figsize=(10, 5), subplot_kw={\"xticks\": (), \"yticks\": ()})\n", + "for target, image, ax in zip(people.target, people.images, axes.ravel()):\n", + " ax.imshow(image)\n", + " ax.set_title(people.target_names[target])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "people.images.shape: (3023, 87, 65)\n", + "Number of classes: 62\n" + ] + } + ], + "source": [ + "image_shape = people.images[0].shape\n", + "print(\"people.images.shape: {}\".format(people.images.shape))\n", + "print(\"Number of classes: {}\".format(len(people.target_names)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are 3,023 images stored as arrays of 5655 pixels (87 by 65), of 62 different people:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " count\n", + "George W Bush 530 \n", + "Colin Powell 236 \n", + "Tony Blair 144 \n", + "Donald Rumsfeld 121 \n", + "Gerhard Schroeder 109 \n", + "... ... \n", + "Angelina Jolie 20 \n", + "Jiang Zemin 20 \n", + "Paul Bremer 20 \n", + "Igor Ivanov 20 \n", + "Michael Bloomberg 20 \n", + "\n", + "[62 rows x 1 columns]" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "counts = np.bincount(people.target) # count how often each target appears\n", + "df = pd.DataFrame(counts, columns=[\"count\"], index=people.target_names)\n", + "df.sort_values(\"count\", ascending=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Let's make the data less skewed by taking only 20 images of the each person. " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "mask = np.zeros(people.target.shape, dtype=bool)\n", + "for target in np.unique(people.target):\n", + " mask[np.where(people.target == target)[0][:20]] = 1\n", + "\n", + "X_people = people.data[mask]\n", + "y_people = people.target[mask]" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1240, 5655)" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_people.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Representation of images\n", + "\n", + "- Representation of input is very important when you cluster examples. \n", + "- In this example, we'll use PCA representation. (We won't learn about PCA in this course. You can think of it as a method to extract most important information from the given data.)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(n_components=100, whiten=True, random_state=0)\n", + "X_pca = pca.fit_transform(X_people)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Clustering faces with K-Means" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We'll cluster the images with this new representation. " + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
KMeans(n_clusters=10, random_state=10)
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": [ + "KMeans(n_clusters=10, random_state=10)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "km = KMeans(n_clusters=10, random_state=10)\n", + "km.fit(X_pca)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "What are the sizes of the clusters? " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster sizes k-means: [ 79 243 41 125 3 207 279 75 125 63]\n" + ] + } + ], + "source": [ + "labels_km = km.fit_predict(X_pca)\n", + "print(\"Cluster sizes k-means: {}\".format(np.bincount(labels_km)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Let's examine cluster centers. Are they going to be real images from the dataset?" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "def get_cluster_images(km, X_people, y_people, target_names, X_pca=None, pca=None, cluster=0):\n", + " image_shape = (87, 65)\n", + " fig, axes = plt.subplots(1, 6, subplot_kw={'xticks': (), 'yticks': ()},\n", + " figsize=(10, 10), gridspec_kw={\"hspace\": .3})\n", + " center = km.cluster_centers_[cluster]\n", + " \n", + " mask = km.labels_ == cluster\n", + " \n", + " if pca: \n", + " dists = np.sum((X_pca - center) ** 2, axis=1)\n", + " dists[~mask] = np.inf\n", + " inds = np.argsort(dists)[:5]\n", + " axes[0].imshow(pca.inverse_transform(center).reshape(image_shape), vmin=0, vmax=1) \n", + " else: \n", + " dists = np.sum((X_people - center) ** 2, axis=1)\n", + " dists[~mask] = np.inf\n", + " inds = np.argsort(dists)[:5]\n", + " axes[0].imshow(center.reshape(image_shape), vmin=0, vmax=1) \n", + " \n", + " axes[0].set_title('Cluster center %d'%(cluster))\n", + " i = 1\n", + " for image, label in zip(X_people[inds], y_people[inds]):\n", + " axes[i].imshow(image.reshape(image_shape), vmin=0, vmax=1)\n", + " axes[i].set_title(\"%s\" % (target_names[label].split()[-1]), fontdict={'fontsize': 9}) \n", + " i+=1\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot_faces_cluster_centers(km, pca)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "- The centers found by K-Means are smooth versions of faces which makes sense. \n", + "- Intuitively, they seem to capture some interesting characteristics of faces:\n", + " - grumpy faces\n", + " - faces somewhat rotated to the left/right\n", + " - Smiley faces\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Let's examine images for different centers. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "get_cluster_images(\n", + " km, X_people, y_people, people.target_names, pca=pca, X_pca=X_pca, cluster=4\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "get_cluster_images(\n", + " km, X_people, y_people, people.target_names, pca=pca, X_pca=X_pca, cluster=8\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Clustering faces with DBSCAN" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Unique labels: [-1]\n" + ] + } + ], + "source": [ + "dbscan = DBSCAN()\n", + "labels = dbscan.fit_predict(X_pca)\n", + "print(\"Unique labels: {}\".format(np.unique(labels)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With default hyperparameters, we get all points as noise points. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "#### Tuning `eps`" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1240,)" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "people.target_names[y_people].shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's examine at distances between images. " + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Igor Ivanov Hamid Karzai Igor Ivanov \\\n", + "count 1240.000000 ... 1240.000000 1240.000000 1240.000000 \n", + "mean inf ... inf inf inf \n", + "std NaN ... NaN NaN NaN \n", + "min 8.753540 ... 11.215308 13.251961 8.279714 \n", + "25% 11.872898 ... 13.883211 15.533179 11.088024 \n", + "50% 12.919469 ... 14.843917 16.448795 12.215096 \n", + "75% 14.258253 ... 16.052053 17.563468 13.501042 \n", + "max inf ... inf inf inf \n", + "\n", + " Jiang Zemin Carlos Menem Michael Bloomberg Paul Bremer Jiang Zemin \\\n", + "count 1240.000000 1240.000000 1240.000000 1240.000000 1240.000000 \n", + "mean inf inf inf inf inf \n", + "std NaN NaN NaN NaN NaN \n", + "min 12.661579 7.890973 9.072237 8.241588 5.014570 \n", + "25% 14.868864 10.886659 11.660065 11.210254 10.676869 \n", + "50% 15.787846 12.002746 12.762428 12.337975 11.933920 \n", + "75% 16.890717 13.365316 14.044408 13.637993 13.340504 \n", + "max inf inf inf inf inf \n", + "\n", + " Paul Bremer Igor Ivanov \n", + "count 1240.000000 1240.000000 \n", + "mean inf inf \n", + "std NaN NaN \n", + "min 12.365759 11.780457 \n", + "25% 14.909077 14.386814 \n", + "50% 15.847648 15.371889 \n", + "75% 16.927553 16.501759 \n", + "max inf inf \n", + "\n", + "[8 rows x 1240 columns]" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dist_df.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "eps=2\n", + "Number of clusters: 1\n", + "Cluster sizes: [1240]\n", + "\n", + "eps=3\n", + "Number of clusters: 1\n", + "Cluster sizes: [1240]\n", + "\n", + "eps=4\n", + "Number of clusters: 1\n", + "Cluster sizes: [1240]\n", + "\n", + "eps=5\n", + "Number of clusters: 1\n", + "Cluster sizes: [1240]\n", + "\n", + "eps=6\n", + "Number of clusters: 2\n", + "Cluster sizes: [1236 4]\n", + "\n", + "eps=7\n", + "Number of clusters: 2\n", + "Cluster sizes: [1181 59]\n", + "\n", + "eps=8\n", + "Number of clusters: 3\n", + "Cluster sizes: [1036 201 3]\n", + "\n", + "eps=9\n", + "Number of clusters: 3\n", + "Cluster sizes: [816 420 4]\n", + "\n", + "eps=10\n", + "Number of clusters: 2\n", + "Cluster sizes: [577 663]\n", + "\n", + "eps=11\n", + "Number of clusters: 2\n", + "Cluster sizes: [349 891]\n", + "\n", + "eps=12\n", + "Number of clusters: 2\n", + "Cluster sizes: [ 166 1074]\n", + "\n", + "eps=14\n", + "Number of clusters: 2\n", + "Cluster sizes: [ 21 1219]\n" + ] + } + ], + "source": [ + "for eps in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14]:\n", + " print(\"\\neps={}\".format(eps))\n", + " dbscan = DBSCAN(eps=eps, min_samples=3)\n", + " labels = dbscan.fit_predict(X_pca)\n", + " print(\"Number of clusters: {}\".format(len(np.unique(labels))))\n", + " print(\"Cluster sizes: {}\".format(np.bincount(labels + 1)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- For lower `eps` all images are labeled as noise.\n", + "- For `eps=7` we get many noise points and many small clusters.\n", + "- For `eps=8` and `eps=9` we get many noise points but we also get one large cluster and a few smaller clusters.\n", + "- Starting `eps=10` we get one big cluster and noise points. \n", + "- There is never more than one large cluster suggesting that all the images are more or less equally similar/dissimilar to the rest. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "#### Noise images identified by DBSCAN" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Unique labels: [-1 0]\n" + ] + } + ], + "source": [ + "dbscan = DBSCAN(eps=14, min_samples=3)\n", + "labels = dbscan.fit_predict(X_pca)\n", + "print(\"Unique labels: {}\".format(np.unique(labels)))" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [], + "source": [ + "print_dbscan_noise_images(X_people, y_people, dbscan, labels)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- We can guess why these images are noise images. There are odd angles, cropping, sun glasses, hands near faces etc. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Let's examine DBSCAN clusters. " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of clusters: 3\n", + "Cluster sizes: [1036 201 3]\n" + ] + } + ], + "source": [ + "dbscan = DBSCAN(min_samples=3, eps=8)\n", + "labels = dbscan.fit_predict(X_pca)\n", + "print(\"Number of clusters: {}\".format(len(np.unique(labels))))\n", + "print(\"Cluster sizes: {}\".format(np.bincount(labels + 1)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- Some clusters correspond to people with distinct faces and facial expressions. \n", + "- It's also capturing orientation of the face. " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "print_dbscan_clusters(X_people, y_people, labels)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### (Optional) Clustering faces with hierarchical clustering " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's examine the dendrogram. " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "Z = ward(X_pca)\n", + "plt.figure(figsize=(20, 15))\n", + "dendrogram(Z, p=7, truncate_mode=\"level\", no_labels=True)\n", + "plt.xlabel(\"Sample index\")\n", + "plt.ylabel(\"Cluster distance\");" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "cluster_labels = fcluster(Z, 40, criterion=\"maxclust\") # let's get flat clusters" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "hand_picked_clusters = [2, 3, 6, 29, 30, 36, 38]\n", + "print_hierarchical_clusters(\n", + " X_people, y_people, people.target_names, cluster_labels, hand_picked_clusters\n", + ")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "



" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Final comments, summary, and reflection" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Take-home message\n", + "\n", + "- We saw three methods for clustering: K-Means, DBSCAN, and hierarchical clustering. \n", + "- There are many more clustering algorithms out there which we didn't talk about. For example see [this overview of clustering methods](https://scikit-learn.org/stable/modules/clustering.html#overview-of-clustering-methods). \n", + "- Two important aspects of clustering\n", + " - Choice of distance metric\n", + " - Data representation\n", + "- Choosing the appropriate number of clusters for a given problem is quite hard. \n", + "- A lot of manual interpretation is involved in clustering. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### A few comments on clustering evaluation\n", + "\n", + "- If you know the ground truth, you can use metrics such as [adjusted random score](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.adjusted_rand_score.html) or [normalized mutual information score](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.normalized_mutual_info_score.html). \n", + "- We can't use accuracy scores. \n", + " - Because the labels themselves are meaningless in clustering. \n", + "- Usually ground truth is not available, and if it is available we would probably go with supervised models. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "\n", + "- The silhouette score works for different clustering methods and it can give us some intuition about the quality of clusters. But it's not very interpretable on real-world datasets." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "A couple of ways to evaluate clustering: \n", + "- Using *robustness-based* clustering metrics\n", + "- The idea is to run a clustering algorithm or a number of clustering algorithms after adding some noise to the data or using different parameter settings and comparing outcomes. \n", + "- If many models, perturbations, and parameters are giving the same result, the clustering is likely to be trustworthy. \n", + "- That said, even though all clustering models give similar results, the clusters might not capture the aspect you are interested in. \n", + "- So you cannot really avoid manual analysis!! " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Resources \n", + "\n", + "- Check out this nice comparison of [sklearn clustering algorithms](https://scikit-learn.org/stable/modules/clustering.html#overview-of-clustering-methods).\n", + "- [DBSCAN Visualization](https://www.naftaliharris.com/blog/visualizing-dbscan-clustering/)\n", + "- [Clustering with Scikit with GIFs](https://dashee87.github.io/data%20science/general/Clustering-with-Scikit-with-GIFs/)" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python [conda env:cpsc330W222] *", + "language": "python", + "name": "conda-env-cpsc330W222-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.8" + }, + "rise": { + "scroll": true + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/lectures/Giulia/15_DBSCAN.ipynb b/lectures/Giulia/15_DBSCAN.ipynb index b981d09..ec7052a 100644 --- a/lectures/Giulia/15_DBSCAN.ipynb +++ b/lectures/Giulia/15_DBSCAN.ipynb @@ -217,7 +217,7 @@ "\n", "\n", "
\n", - "\"\" \n", + "\"\" \n", "
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