diff --git a/doc_source/notebooks/Matisse/example_matisse.ipynb b/doc_source/notebooks/Matisse/example_matisse.ipynb index 1779632..4eb432e 100644 --- a/doc_source/notebooks/Matisse/example_matisse.ipynb +++ b/doc_source/notebooks/Matisse/example_matisse.ipynb @@ -1,374 +1,351 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# ECT on Matisse's \"The Parakeet and the Mermaid\"\n", - "\n", - "\n", - "\n", - " Here, we are going to give an example of using the ECT to classify the cutout shapes from Henri Matisse's 1952 [\"The Parakeet and the Mermaid\"](https://www.moma.org/audio/playlist/6/312).\n", - "\n", - "\n", - "\n", - " ![matisse.jpg](matisse.jpg)\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# -----------------\n", - "# Standard imports\n", - "# -----------------\n", - "import numpy as np # for arrays\n", - "import matplotlib.pyplot as plt # for plotting\n", - "from sklearn.decomposition import PCA # for PCA for normalization\n", - "from scipy.spatial import distance_matrix\n", - "\n", - "from os import listdir # for retrieving files from directory\n", - "from os.path import isfile, join # for retrieving files from directory\n", - "from sklearn.manifold import MDS # for MDS\n", - "import pandas as pd # for loading in colors csv\n", - "import os\n", - "import zipfile\n", - "\n", - "import warnings\n", - "warnings.filterwarnings('ignore')\n", - "\n", - "# ---------------------------\n", - "# The ECT packages we'll use\n", - "# ---------------------------\n", - "from ect import ECT, EmbeddedComplex # for calculating ECTs\n", - "# Note: EmbeddedGraph is now unified into EmbeddedComplex\n", - "# For backward compatibility, you can still use:\n", - "# from ect import EmbeddedGraph\n", - "\n", - "# Simple data paths\n", - "data_dir = \"outlines/\"\n", - "colors_path = \"colors.csv\"\n", - "\n", - "# Ensure outlines are available when running under Sphinx/CI\n", - "if not os.path.isdir(data_dir):\n", - " zip_path = \"outlines.zip\"\n", - " if os.path.isfile(zip_path):\n", - " with zipfile.ZipFile(zip_path, \"r\") as zf:\n", - " zf.extractall(\".\")\n", - " else:\n", - " raise FileNotFoundError(\n", - " \"Could not find 'outlines/' directory or 'outlines.zip'. \"\n", - " \"Please download the Matisse outlines and place them next to this notebook.\"\n", - " )\n", - "\n", - "file_names = [\n", - " f for f in listdir(data_dir) if isfile(join(data_dir, f)) and f[-4:] == \".txt\"\n", - "]\n", - "file_names.sort()\n", - "print(f\"There are {len(file_names)} files in the directory\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " We've taken care of the preprocessing in advance by extracting out the shapes from the image. You can download these outlines here: [outlines.zip](outlines.zip).\n", - "\n", - "\n", - "\n", - " \"Matisse" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "i = 3\n", - "shape = np.loadtxt(data_dir + file_names[i])\n", - "# shape = normalize(shape)\n", - "G = EmbeddedComplex() # Using the unified EmbeddedComplex class\n", - "G.add_cycle(shape)\n", - "G.plot(with_labels=False, node_size=10)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " We're going to align the leaf using the PCA coordinates, min-max center, and scale it to fit in a ball of radius 1 for ease of comparisons." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ + "cells": [ { - "data": { - "text/plain": [ - "" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# ECT on Matisse's \"The Parakeet and the Mermaid\"\n", + "\n", + "\n", + "\n", + " Here, we are going to give an example of using the ECT to classify the cutout shapes from Henri Matisse's 1952 [\"The Parakeet and the Mermaid\"](https://www.moma.org/audio/playlist/6/312).\n", + "\n", + "\n", + "\n", + " ![matisse.jpg](matisse.jpg)\n", + "\n" ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" }, { - "data": { - "image/png": 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", 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" + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There are 150 files in the directory\n" + ] + } + ], + "source": [ + "# -----------------\n", + "# Standard imports\n", + "# -----------------\n", + "import numpy as np # for arrays\n", + "import matplotlib.pyplot as plt # for plotting\n", + "from sklearn.decomposition import PCA # for PCA for normalization\n", + "\n", + "from os import listdir # for retrieving files from directory\n", + "from os.path import isfile, join # for retrieving files from directory\n", + "from sklearn.manifold import MDS # for MDS\n", + "import pandas as pd # for loading in colors csv\n", + "import os\n", + "import zipfile\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "# ---------------------------\n", + "# The ECT packages we'll use\n", + "# ---------------------------\n", + "from ect import ECT, EmbeddedComplex # for calculating ECTs\n", + "# Note: EmbeddedGraph is now unified into EmbeddedComplex\n", + "# For backward compatibility, you can still use:\n", + "# from ect import EmbeddedGraph\n", + "\n", + "# Simple data paths\n", + "data_dir = \"outlines/\"\n", + "colors_path = \"colors.csv\"\n", + "\n", + "# Ensure outlines are available when running under Sphinx/CI\n", + "if not os.path.isdir(data_dir):\n", + " zip_path = \"outlines.zip\"\n", + " if os.path.isfile(zip_path):\n", + " with zipfile.ZipFile(zip_path, \"r\") as zf:\n", + " zf.extractall(\".\")\n", + " else:\n", + " raise FileNotFoundError(\n", + " \"Could not find 'outlines/' directory or 'outlines.zip'. \"\n", + " \"Please download the Matisse outlines and place them next to this notebook.\"\n", + " )\n", + "\n", + "file_names = [\n", + " f for f in listdir(data_dir) if isfile(join(data_dir, f)) and f[-4:] == \".txt\"\n", + "]\n", + "file_names.sort()\n", + "print(f\"There are {len(file_names)} files in the directory\")" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "\n", - "G.transform_coordinates(projection_type=\"pca\") # project with PCA\n", - "G.scale_coordinates(1) # scale to radius 1\n", - "G.plot(with_labels=False, node_size=10, bounding_circle=True)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " And then we can compute the ECT of this leaf." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ + }, { - "name": "stderr", - "output_type": "stream", - "text": [ - "OMP: Info #276: omp_set_nested routine deprecated, please use omp_set_max_active_levels instead.\n" - ] + "cell_type": "markdown", + "metadata": {}, + "source": [ + " We've taken care of the preprocessing in advance by extracting out the shapes from the image. You can download these outlines here: [outlines.zip](outlines.zip).\n", + "\n", + "\n", + "\n", + " \"Matisse" + ] }, { - "data": { - "image/png": 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mVa2aivdXkA4sVxKgKst8/SRbk0uTLg1TeAC59HWBwvvEKbly32VbsmWatFKFseLvW8AxBanMCj5PAHCT2d+ev4U7DJIOBqWF7BTubysMYIiIiJyUQYUrMKwDQ0RERKQSXoEhIiJyUgbJBQaFWURK97cVBjBEREROqho6VCus46J0f1txzLCKiIiISIBXYIiIiJwUbyFRnbm1aQk311rmULLjbNNKlUUGCNtFadJK2Tq1VG42bBG590U027RScim5cqmlitKsFc7gK/ddlUshvx5lvr3RCXF6eaMTwmZFv9O8x+8Rtst9l2U/MwVp+fZMk5YrhaCU0t+CInK/BXMlB6rLgTPqD6fWQ0H5LSBxsQv7ccywioiIiEiAV2CIiIicFG8hERERkeZwMkciIiIiB8IrMERERE5Kgg4GhQ/xSg5aB4YBDBERkZNy5ltIDGCIiIicFGejJpuz6ZTxMuTqmcjVcfC5YH0dmPIAV6v3VYOoNoeo3gggf95ytTeU1Inxyb5l9b4A4FYorpdiU3K1M2R2D95vfuxytVKE9W0AlHWNFLbbsraP3O/Qkdm61ouIXC0nUZ0Yxb8jRXuTUnz/iYiInFQ1XFCtMF9H6f62wgCGiIjISTnzLSTHDKuIiIiIBBjAEBEROSkDXFRZLHHw4EEMHjwYYWFh0Ol02LFjh9ltJ06cCJ1Oh5UrV1p8bgxgiIiInFS1pFNlsURpaSmioqKwZs0a4Xbbt2/H4cOHERYWZtW58RkYIiIiUs2AAQMwYMAA4TaXLl3C888/j927d2PQoEFWHYcBjMqq/L0BN88a62/KTPmuNJ1PTs7gILNtoYfEKbU+Co99vaP5FMuGl8ynMTs7UZq10nRduZRc7+xC8f6CdGLvjGyrxlSXvgFlKblyqe3eH4vT9gvXitvLA7zMtlXI/FBK+pYJ20M36MUd2JE906RtSa7UgdL9zf2Oq6rqr3yEmg/xFhcXm6zX6/XQ6y3/3hoMBjz77LOYMWMG7r33XqvHxVtIRERETkr672zUShbpv5V4w8PD4efnZ1ySkpKsGtNrr70GNzc3TJkyRdG58QoMERERycrJyYGvr6/xtTVXXzIyMvDWW2/h2LFj0OmUXRniFRgiIiInVQ2dKgsA+Pr6mizWBDDffPMN8vPz0bx5c7i5ucHNzQ0XLlzAtGnTEBERYVFfvAJDRETkpAyS8kJ0BkmlwQB49tlnERsba7IuLi4Ozz77LEaPHm1RXwxgiIiInNSd51iU9mGJkpISnD171vg6Ozsbx48fR2BgIJo3b45GjRqZbO/u7o6QkBC0bdvWouMwgCEiIiLVHD16FI888ojxdWJiIgBg5MiR2Lhxo2rHYQCjMreiMri5VtdYr5dJt7s4QDyLbkiaspmNRanSNyPNp4YCgL6w5vlYwuOmot1tSm4mWxG5mbSVvG9KZ7JWmoYtl2Zty769FWRpZ00SlyvAkubidpkJoUuamv++yH7PjzQUNpcHKCspoOT7Zu9Z4W1JyW9cjlz5C7OzvleX22A0tTNABwMU3kKycP8+ffpAkup+3+n8+fMWjug2BjBEREROyppKurX14Yg0mYW0Zs0aREREwNPTEzExMThy5IjZbTdu3AidTmeyeHqaFpqTJAnz5s1DaGgovLy8EBsbizNnztj6NIiIiMhKmgtgtm3bhsTERMyfPx/Hjh1DVFQU4uLikJ+fb3YfX19fXLlyxbhcuHDBpH3ZsmV4++23kZycjPT0dDRo0ABxcXH47bffbH06RERENqO0iJ0aDwHbimOOSmDFihUYP348Ro8ejQ4dOiA5ORne3t7YsGGD2X10Oh1CQkKMS3BwsLFNkiSsXLkSL7/8MoYMGYLOnTtj8+bNuHz5snAGTSIiIkdngM44nYDVi8JnaGxFUwFMRUUFMjIyTHLIXVxcEBsbi7S0NLP7lZSUoEWLFggPD8eQIUNw6tQpY1t2djZyc3NN+vTz80NMTIywz/LychQXF5ssREREVD80FcBcu3YN1dXVJldQACA4OBi5ubm17tO2bVts2LABn376Kd577z0YDAb07NkTv/76KwAY97OkTwBISkoymRMiPDxcyakRERGpTvpvFpKSReIVGPvo0aMH4uPjER0djYcffhiffPIJmjRpgn/+85+K+p0zZw5u3LhhXHJyclQaMRERkToU3z5SYTZrW9FUGnXjxo3h6uqKvLw8k/V5eXkICQmpUx/u7u7o0qWLsUrgnf3y8vIQGhpq0md0dLTZfsxNI17Wwh9u7p617CHWcov5h5ABoCpAXCdGSd0QpXVebrZwFx+7WFl9CyVsWQNCVBMEkH9fRbU3lH4mcsoixQVPhHVkZL6LbucuiQ9eUCRuD/QXNuf1CTLb1mqr+XpHALD7k83C9tYf/E3YHp5SabbtekeZ34FMnRil31XRd0auzostfydapvR9Mfc7q6r8DWCiq2Ka+tZ6eHiga9euSE1NNa4zGAxITU1Fjx496tRHdXU1fvrpJ2OwEhkZiZCQEJM+i4uLkZ6eXuc+iYiIHJEzZyFp6goMcLsk8ciRI9GtWzd0794dK1euRGlpqXESqPj4eDRt2hRJSUkAgIULF+KBBx5A69atUVRUhNdffx0XLlzAuHHjANzOUJo6dSpeffVVtGnTBpGRkZg7dy7CwsIwdOhQe50mERGRYmrcAuItJJUMGzYMV69exbx585Cbm4vo6GikpKQYH8K9ePEiXFz+Fy0WFhZi/PjxyM3NRUBAALp27YrvvvsOHTp0MG4zc+ZMlJaWYsKECSgqKkLv3r2RkpJSo+AdERGRlthjKoH6orkABgASEhKQkJBQa9v+/ftNXr/55pt48803hf3pdDosXLgQCxcuVGuIREREZEOaDGCIiIhIHm8hERERkeYwgCHFhGmpkE9rlUtV9rlgPr0TAG5GepltU5qyK5cmLUpFtGeKNQBU+Jhvk0t7lWuXS121daq0iNz30a1QnI4sJJMGLVcS4HqUuF30nRF9zwGg5zRxmnSr7FvC9kc37Dfb9u9FA4T7yqXdy37fZH4rou8b06Rrp/QzkStfQbbFAIaIiMhJ8QoMERERaY4zBzC8rkhERESawyswRERETkqC8joukjpDUR0DGCIiIifFW0hEREREDoRXYIiIiJyUM1+BYQCjMu8LRXBz1Vu8n1ztC6XsWnPEhrVelNa3ENV5KA0T79vgsrhdbmyiz0Suhgwgrj8hV+dFjqhWi6IaMXXQ6IS4f1HtDfn3TeziAPHvcNNbg8y2eUD8PW94SdnvQO43LFcrylmJajkB8rVchPsq/NvlnV1Y6/qq6nJF/VqCAQwRERFpjjMHMHwGhoiIiDSHV2CIiIiclCTpICm8gqJ0f1thAENEROSkDNAprgOjdH9b4S0kIiIi0hxegSEiInJSzvwQLwMYlVX5ewNunjXWy6WeBu/PF7b/569BMke2PoXS50KlsF1paqoondiWKdZ1IUrBlEuTVkr0vipNexelGgPK06xtScnYywO8hPsWPFYmbA/c7i1sz48x3+b9q/iCtlw6r9zvMLeH9b9xW3+X7UnufZVLsxbuK1MKQa7do6j2tPyqKmV/Uy3hzM/A8BYSERERqebgwYMYPHgwwsLCoNPpsGPHDmNbZWUlZs2ahU6dOqFBgwYICwtDfHw8Ll+2PMpmAENEROSk7txCUrpYorS0FFFRUVizZk2NtrKyMhw7dgxz587FsWPH8MknnyArKwt//vOfLT433kIiIiJyUva4hTRgwAAMGDCg1jY/Pz/s3bvXZN3q1avRvXt3XLx4Ec2bN6/zcRjAEBERkazi4mKT13q9Hnq95VPn/NGNGzeg0+ng7+9v0X68hUREROSkJBVuH925AhMeHg4/Pz/jkpSUpHh8v/32G2bNmoWnn34avr6+Fu3LKzBEREROSgIgScr7AICcnByTIEPp1ZfKyko89dRTkCQJa9eutXh/BjD1RDS7LyA/G3XLLeI067w+4jRr0czKPheEu8qSTSVUkCotm8aocCZaJTPVyh27Um5sxeJ2EbmZh+VScu1J6WzW54abT5X2zxR/XxqmNhS26wvF71t4ivm23B7K0qjlyhW42/C7rHTmdXtS8juUe0/l+m500nF/Z3cYoINOpUq8vr6+Fl8lMedO8HLhwgV8/fXXVvXLAIaIiIjqzZ3g5cyZM9i3bx8aNWpkVT8MYIiIiJyUPbKQSkpKcPbsWePr7OxsHD9+HIGBgQgNDcVf/vIXHDt2DJ9//jmqq6uRm5sLAAgMDISHh7iQ5e8xgCEiInJSBkkHXT1PJXD06FE88sgjxteJiYkAgJEjR+KVV17Bzp07AQDR0dEm++3btw99+vSp83EYwBAREZFq+vTpA0nw5LCozRIMYIiIiJyUJKmQhaROvKE6BjBEREROipM5EhERETkQXoFxEI1OiGtjlEUGKNq/wsd8nZnrHcU1RRpeEtdxUVLnRSkltS9sfWy5drkaNyL2rPMiV9NIrs6L3HdZrsaNf6awWRG5WiyF7cx/ZiFp4s9Eru+SpuLvg2xdIQW/BUeu8yJHyXkr/fsh95l6FCnrXw3OfAWGAQwREZGTskcWUn1hAENEROSknPkhXk0+A7NmzRpERETA09MTMTExOHLkiNlt169fjwcffBABAQEICAhAbGxsje1HjRoFnU5nsvTv39/Wp0FERERW0lwAs23bNiQmJmL+/Pk4duwYoqKiEBcXh/z82ucK2r9/P55++mns27cPaWlpCA8PR79+/XDp0iWT7fr3748rV64Yl3//+9/1cTpEREQ2c/sKjE7hYu+zqJ3mApgVK1Zg/PjxGD16NDp06IDk5GR4e3tjw4YNtW7//vvv47nnnkN0dDTatWuHf/3rXzAYDEhNTTXZTq/XIyQkxLgEBIgfNCwvL0dxcbHJQkRE5EiUBy/KHwK2FU0FMBUVFcjIyEBsbKxxnYuLC2JjY5GWllanPsrKylBZWYnAwECT9fv370dQUBDatm2LSZMm4fr168J+kpKS4OfnZ1zCw8MtPyEiIiKyiqYe4r127Rqqq6sRHBxssj44OBinT5+uUx+zZs1CWFiYSRDUv39/PP7444iMjMS5c+fw0ksvYcCAAUhLS4Ora+1pcnPmzDHO7wAAxcXFCA8PR4WfBwzudZ+M6g6PogqL97GofwXpgnLpvvZMoybtkfuuy2QLC/1r3Uph+7DFM4Tt+sJqYbvf/eb/w6b8tHhGXdnfkR1LAmhZhQ3Ty5X+bavwr/3fgqrK+vubKf13UdqHI9JUAKPU0qVLsXXrVuzfvx+enp7G9cOHDzf+/06dOqFz585o1aoV9u/fj759+9bal16vh16vt/mYiYiIrOXMdWA0dQupcePGcHV1RV5ensn6vLw8hISECPddvnw5li5dij179qBz587CbVu2bInGjRubTAdOREREjkNTAYyHhwe6du1q8gDunQdye/ToYXa/ZcuWYdGiRUhJSUG3bt1kj/Prr7/i+vXrCA0NVWXcREREdiGptDggTQUwAJCYmIj169dj06ZNyMzMxKRJk1BaWorRo0cDAOLj4zFnzhzj9q+99hrmzp2LDRs2ICIiArm5ucjNzUVJSQkAoKSkBDNmzMDhw4dx/vx5pKamYsiQIWjdujXi4uLsco5ERESqUCMDyUFvIWnuGZhhw4bh6tWrmDdvHnJzcxEdHY2UlBTjg70XL16Ei8v/4rK1a9eioqICf/nLX0z6mT9/Pl555RW4urrixx9/xKZNm1BUVISwsDD069cPixYt4jMuREREDsqqAKa6uhr/+te/kJWVhWbNmiEqKgrR0dFo1Ej8FL5aEhISkJCQUGvb/v37TV6fP39e2JeXlxd2796t0siIiIgchzNPJWBVAPP888/j448/RmxsLFavXg2dToeqqio0bdoU0dHR2Llzp9rjJCIiIgs5cxaSVQHMJ598gs2bNyMuLg47d+7Ed999hwMHDmDhwoVo0aKF2mN0CnK1L84N9xK2B6WL+7/ZooGw3edCpWBfd3HnMpTUiZHb926VHyNu9/5V/Jk1Omn+8waAm5Hi75tP9i3xAASqAsTfRXO1Me6Q+z6WhplvGzdhqnDf4Ozapxy5I69PkLC94usmZtsaQlzbQ65eSaVMu7tMPRPR+9LgsnhfpUTn5sz1bUqaiv9+ydUVqhdqPMPiTAFMSUkJOnToAABwd3eHm5sbEhISUFlZicuXbfxLISIiorueVf/527JlS2Og0rRpU+PEiIMHD8Z7772n3uiIiIjIaneegVG6OCKrApjHH38cX375JQDg4YcfNk6k+PPPP+PWLesvPRMREZGKnLgOjFW3kF555RXj/585cybuv/9+NGnSBMXFxRg7dqxaYyMiIiKqleI6MM2bN8epU6fw2WefoVGjRhg8eLAa4yIiIiKFmIUko3HjxsZKuERERORAHPQWkFKaq8SrVXJpq+Ep4nQ77+xCYXvOYHH6pxJy6Z8NL8mkjwpSpeX6duYUTBH/TOtT0wGgPMBVzeGoSq6kgIfM2H0uWJ+aKpfiXdBdnH7eMNN8irdc6ntQuvgzK2wn85nL/Bbs+VvR6rFFqee3iT8TuXIFZFsMYIiIiJwUbyERERGR9qiRReSgt6BYBpWIiIg0h1dgiIiInJbuv4vSPhxPnQOYxMTEOne6YsUKqwZDREREKrLDLaSDBw/i9ddfR0ZGBq5cuYLt27dj6NCh/+tOkjB//nysX78eRUVF6NWrF9auXYs2bdpYdJw6BzA//PCDyetjx46hqqoKbdu2BQD88ssvcHV1RdeuXS0aABEREdmIHQKY0tJSREVFYcyYMXj88cdrtC9btgxvv/02Nm3ahMjISMydOxdxcXH4+eef4enpWefj1DmA2bdvn/H/r1ixAj4+Pti0aRMCAgIAAIWFhRg9ejQefPDBOh/8biI367Lc7L+F9zUWtod/Jp5l9z9/NZ9mHXBabhZd2z0qdbemSQO2ncFX6Sy4ohmj5dKglfQNyP9WlJzbmfHiYwceEc+ELU5fF4+7pKmwWbG7dUZoOaL3RfZvn8x3kWo3YMAADBgwoNY2SZKwcuVKvPzyyxgyZAgAYPPmzQgODsaOHTswfPjwOh/Hqk/njTfeQFJSkjF4AYCAgAC8+uqreOONN6zpkoiIiNQm6dRZABQXF5ss5eXlFg8nOzsbubm5iI2NNa7z8/NDTEwM0tLSLOrLqgCmuLgYV69erbH+6tWruHnzLg71iYiIHIias1GHh4fDz8/PuCQlJVk8ntzcXABAcHCwyfrg4GBjW11ZlYX02GOPYfTo0XjjjTfQvXt3AEB6ejpmzJhR6/0uIiIi0racnBz4+voaX+v1ejuOxsoAJjk5GdOnT8df//pXVFZWQpIkuLu7Y+zYsXj99dfVHiMRERFZQ8WHeH19fU0CGGuEhIQAAPLy8hAaGmpcn5eXh+joaIv6suoWkre3N/7xj3/g+vXr+OGHH3D8+HEUFBTgH//4Bxo0EM81QkRERPVExWdg1BAZGYmQkBCkpqYa1xUXFyM9PR09evSwqC/WgSEiIiLVlJSU4OzZs8bX2dnZOH78OAIDA9G8eXNMnToVr776Ktq0aWNMow4LCzOpFVMXVteBMUenc8yKfURERHcbnXR7UdqHJY4ePYpHHnnE+PrOBZCRI0di48aNmDlzJkpLSzFhwgQUFRWhd+/eSElJsagGDGBlHRiynKgWAQB4LxM/fV2xpLmwvSpAfOuu+ZelZtuuR4n3rZQZO9W/kqbK6lMoqaUiV8dFrk6MXHsjmfZzw73Mtvlnit+X/wxYK2yPWx8vbBfVkQk8Ij623N+ABpfF7XIctdaL3HnL/X1R+r4o4XOh0n4HV4sdCtn16dMHkmR+J51Oh4ULF2LhwoWKhsUqPURERKQ5Vk/mWFRUhHfeeQeZmZkAgA4dOmDs2LHw8/NTbXBERESkgBoP4ar4EK+arLoCc/ToUbRq1QpvvvkmCgoKUFBQgDfffBOtWrXCsWPH1B4jERERWUNSaXFAVl2BefHFF/HnP/8Z69evh5vb7S6qqqowbtw4TJ06FQcPHlR1kERERGQFOzwDU1+sCmCOHj1qErwAgJubG2bOnIlu3bqpNjgiIiKi2lh1C8nX1xcXL16ssT4nJwc+PkxZISIicgi8hWRq2LBhGDt2LJYvX46ePXsCAL799lvMmDEDTz/9tKoDdBYNL4mnbS+bGSJs94A4tfTiAOvTqAu6i1MFQ75yFbYrSel11NRPQD79U+nYlezv0O+bTJr1zRbuwnaPYvFvRZQqLZf22nPa34Tten9xern+V/Njl/u+yLH1981e5MZt6/OS+9vr9Jz4IV6rApjly5dDp9MhPj4eVVVVAAB3d3dMmjQJS5cuVXWARERERH9kVQDj4eGBt956C0lJSTh37hwAoFWrVvD29lZ1cERERGQ9e1TirS9W14EBbk/q2KlTJ7XGQkRERGpy4iwkqx9eSE1NxUsvvYRx48ZhzJgxJoutrVmzBhEREfD09ERMTAyOHDki3P7DDz9Eu3bt4OnpiU6dOuGLL74waZckCfPmzUNoaCi8vLwQGxuLM2fO2PIUiIiISAGrApgFCxagX79+SE1NxbVr11BYWGiy2NK2bduQmJiI+fPn49ixY4iKikJcXBzy8/Nr3f67777D008/jbFjx+KHH37A0KFDMXToUJw8edK4zbJly/D2228jOTkZ6enpaNCgAeLi4vDbb7/Z9FyIiIjIOlbdQkpOTsbGjRvx7LPPqj0eWStWrMD48eMxevRo41h27dqFDRs2YPbs2TW2f+utt9C/f3/MmDEDALBo0SLs3bsXq1evRnJyMiRJwsqVK/Hyyy9jyJAhAIDNmzcjODgYO3bswPDhw+vv5IiIiFSkgwrPwKgyEvVZdQWmoqLCmD5dnyoqKpCRkYHY2FjjOhcXF8TGxiItLa3WfdLS0ky2B4C4uDjj9tnZ2cjNzTXZxs/PDzExMWb7BIDy8nIUFxebLERERFQ/rLoCM27cOGzZsgVz585VezxC165dQ3V1NYKDg03WBwcH4/Tp07Xuk5ubW+v2ubm5xvY768xtU5ukpCQsWLCgzmOv8BXHijcjvRTtH5Imrn8h6r/Fh+LaF7k9xMd2V1DHwZFrX2i17kZdlAeIa/voC8XfCSXk6rz4ZN+yum8l9ZAA4Mx4cQ2bkK/Mj11JPSTAsb9vjvw7VcKW33OHwTowQGJiovH/GwwGrFu3Dl999RU6d+4Md3fT4k4rVqxQb4QOas6cOSbvSXFxMcLDw+04IiIioj9w4iykOgcwP/zwg8nr6OhoADB5GBYAdDrbRWqNGzeGq6sr8vLyTNbn5eUhJKT2SrYhISHC7e/8b15eHkJDQ022uXOOtdHr9dDr9dacBhERUf1gAAPs27fPluOoEw8PD3Tt2hWpqakYOnQogNtXg1JTU5GQkFDrPj169EBqaiqmTp1qXLd371706NEDABAZGYmQkBCkpqYaA5bi4mKkp6dj0qRJtjwdIiIispJVz8DcunULkiQZK+9euHAB27dvR4cOHdCvXz9VB/hHiYmJGDlyJLp164bu3btj5cqVKC0tNWYlxcfHo2nTpkhKSgIAvPDCC3j44YfxxhtvYNCgQdi6dSuOHj2KdevWAbh9xWjq1Kl49dVX0aZNG0RGRmLu3LkICwszBklERERaxEq8fzBkyBA8/vjjmDhxIoqKitC9e3d4eHjg2rVrWLFihU2vXAwbNgxXr17FvHnzkJubi+joaKSkpBgfwr148SJcXP73MF3Pnj2xZcsWvPzyy3jppZfQpk0b7NixAx07djRuM3PmTJSWlmLChAkoKipC7969kZKSAk9PT5udBxERkc3xFpKpY8eO4c033wQAfPTRRwgJCcEPP/yAjz/+GPPmzbP5rZeEhASzt4z2799fY92TTz6JJ5980mx/Op0OCxcuxMKFC9UaIhEREdmQVQFMWVkZfHxu59Xt2bMHjz/+OFxcXPDAAw/gwoULqg5QazxuVMDNrWY6ZaOiCkX9nhsuTrMG3IWtR+evNdsW93i8cN/yZuIjNzgiPrYoBVOr6Zd1IZd6Wilob3BZ2bHlUnobXhKnMtuS3NiCJ5kvXwAARUuam22TS5OWEyjzXS5sZ74t4LT4PZUrheDIbPk7VZqiLbu/HUt0eZj5u+9SpezfA4s48RUYq35RrVu3xo4dO5CTk4Pdu3cbn3vJz8+Hr6+vqgMkIiIi69x5Bkbp4oisCmDmzZuH6dOnIyIiAjExMcaMnj179qBLly6qDpCIiIjoj6y6hfSXv/wFvXv3xpUrVxAVFWVc37dvXzz22GOqDY6IiIgUYCXemkJCQmoUj+vevbviAREREZFK+AxMTd988w2eeeYZ9OjRA5cuXQIA/N///R8OHTqk2uCIiIiIamNVAPPxxx8jLi4OXl5e+OGHH1BeXg4AuHHjBpYsWaLqAImIiMg6zvwQr1W3kF599VUkJycjPj4eW7duNa7v1asXXn31VdUG50wq/MWz3N5sIU7fDE8RzzYNiGdVbfnlOLNtgVHiY4tm4AWAkqbCZqHSMHG7XDqxI8+SK3dsR04hF30ffS7IfRfF5M67bGbt85rdUR5pfiZt72xxGvV//hokbJdNhfbRbiq0s5IrCWDTmdUVlseoF058C8mqACYrKwsPPfRQjfV+fn4oKipSOiYiIiJSgxpXUBw0gLHqPydCQkJw9uzZGusPHTqEli1bKh4UERERaU91dTXmzp2LyMhIeHl5oVWrVli0aBEkSf0oyKorMOPHj8cLL7yADRs2QKfT4fLly0hLS8P06dMxd+5ctcdIRERE1qjnW0ivvfYa1q5di02bNuHee+/F0aNHMXr0aPj5+WHKlCkKB2LKqgBm9uzZMBgM6Nu3L8rKyvDQQw9Br9dj+vTpeP7551UdIBEREVmpngOY7777DkOGDMGgQYMAABEREfj3v/+NI0eOKBxETRbfQqqsrERsbCyeeuopFBQU4OTJkzh8+DCuXr2KRYsWqT5AIiIisr/i4mKT5U4G8u/17NkTqamp+OWXXwAAJ06cwKFDhzBgwADVx2PxFRh3d3f8+OOPAAAPDw906NBB9UERERGRcmqkQd/ZPzw83GT9/Pnz8corr5ismz17NoqLi9GuXTu4urqiuroaixcvxogRI5QNohZW3UJ65pln8M4772Dp0qVqj4eIiIgcUE5OjsmEzXq9vsY2H3zwAd5//31s2bIF9957L44fP46pU6ciLCwMI0eOVHU8VgUwVVVV2LBhA7766it07doVDRo0MGlfsWKFKoNzJnL1AjwCzNe2UEOb9eaPf2a8eN+GmeI6MWXNxHUYgtLNtxW2U1ZXw5FrqdiT3Psi977L1d9RwqNYptaKTM2kgGPXzLblDBbXeQlJE9ewkavHZEuOXNPIlmx9XuUK/rb6ZN9ScSTa5+vraxLA1GbGjBmYPXs2hg8fDgDo1KkTLly4gKSkJMcIYE6ePIn77rsPAIz3ue7Q6Rxz0iciIqK7Tj0/xFtWVgYXF9P/QHJ1dYXBIP4PF2tYFcDs27dP7XEQERGRytR8BqYuBg8ejMWLF6N58+a499578cMPP2DFihUYM2aMskHUwurZqImIiIh+b9WqVZg7dy6ee+455OfnIywsDH/7298wb9481Y9ldQCTmpqK1NRU5Ofn17g0tGHDBsUDIyIiIhXU41QAPj4+WLlyJVauXGnzY1kVwCxYsAALFy5Et27dEBoayudeiIiIHBEnczSVnJyMjRs34tlnn1V7PERERKSS+n4Gpj5ZFcBUVFSgZ8+eao/Fqcmlhlb4itNa5dJe5dJD3QpLzbYFHmlgtg2QT+8UpUkDQElT61Ol5Y5dKdNuy3Rge6a9Kj223PsiSnW+3lGcatzopPi7KJeaem64l7A9KL2x2TZbp+SK+pf7Dculj1s5t67TK2ovft+8fxW/b6Lvo5IUa7I/q34x48aNw5YtW9QeCxEREalJUmlxQHW+ApOYmGj8/waDAevWrcNXX32Fzp07w93d9L/IWMiOiIjI/ngLCcAPP/xg8jo6OhrA7aJ2v8cHeomIiMjW6hzA7Nu3DwsXLsS0adNqTB1AREREDsiJs5AsegZmwYIFKC01/zAoERERORAnfgbGogBGkhz0LIiIiOiuYnEaNZ9xISIi0gY+xPs799xzj2wQU1BQYPWAtM6tqAxurtUW7ydT1gM+F8Tt/1q3Utg+bPEMQd/iuh23phSJD/5/jYTNotoZcnU75Oqd2LLOixxb1xxxVA0vKZtVVq4mUqut4joxov3lasxcj7Ld83vydV6U7S9XZ8ZZydWZ0heK/36JyH1flDJbf6u63KbHNeHEz8BYHMAsWLAAfn5+thgLERERUZ1YHMAMHz4cQUFBthgLERERqYlXYG7j8y9ERETa4czPwGgqC6mgoAAjRoyAr68v/P39MXbsWJSUlAi3f/7559G2bVt4eXmhefPmmDJlCm7cuGGynU6nq7Fs3brV1qdDRERkW06cRm3RFRiDQdlDakqNGDECV65cwd69e1FZWYnRo0djwoQJZudlunz5Mi5fvozly5ejQ4cOuHDhAiZOnIjLly/jo48+Mtn23XffRf/+/Y2v/f39bXkqREREpIBVs1HbQ2ZmJlJSUvD999+jW7duAIBVq1Zh4MCBWL58OcLCwmrs07FjR3z88cfG161atcLixYvxzDPPoKqqCm5u/zt9f39/hISE2P5EiIiI6okz30LSTACTlpYGf39/Y/ACALGxsXBxcUF6ejoee+yxOvVz48YN+Pr6mgQvADB58mSMGzcOLVu2xMSJEzF69GjhMz/l5eUoL/9fKlxxcbHwuHKpozdbuAvb5YjSpOXITSl/4/smwvYQBWmMJU3FdzErZdKo79ZUZqXp57L7C1J25dJ9PYoqxJ3bkdz7IkdpCjlRveNDvPaXm5tbI/vJzc0NgYGByM3NrVMf165dw6JFizBhwgST9QsXLsSf/vQneHt7Y8+ePXjuuedQUlKCKVOmmO0rKSkJCxYssPxEiIiISDG7V0aaPXt2rQ/R/n45ffq04uMUFxdj0KBB6NChA1555RWTtrlz56JXr17o0qULZs2ahZkzZ+L1118X9jdnzhzcuHHDuOTk5CgeIxERkar4EK/tTJs2DaNGjRJu07JlS4SEhCA/P99kfVVVFQoKCmSfXbl58yb69+8PHx8fbN++He7u4ts1MTExWLRoEcrLy6HX62vdRq/Xm20jIiJyBLr/Lkr7cER2D2CaNGmCJk3Ez1gAQI8ePVBUVISMjAx07doVAPD111/DYDAgJibG7H7FxcWIi4uDXq/Hzp074enpKXus48ePIyAggAEKERGRg7J7AFNX7du3R//+/TF+/HgkJyejsrISCQkJGD58uDED6dKlS+jbty82b96M7t27o7i4GP369UNZWRnee+89FBcXGx+2bdKkCVxdXfHZZ58hLy8PDzzwADw9PbF3714sWbIE06dPt+fpEhERKceHeB3D+++/j4SEBPTt2xcuLi544okn8PbbbxvbKysrkZWVhbKyMgDAsWPHkJ5+eyaw1q1bm/SVnZ2NiIgIuLu7Y82aNXjxxRchSRJat26NFStWYPz48fV3YkRERDbANGoHERgYaLZoHQBERESYVAvu06ePbPXg/v37mxSwsxXv7EJhu0eReJbcc8O9hO3+mdY/j60vFM+eHZImbs/tIX6mSDRjtFxaqlyatVKlNcsHGdlzpms5cunAcunnSvhcsHy2dUvIzRgdvD/fbFteH/E8bXLvS0iauCSAqOSA3GzRSmerliP6Tti63IDo2HLvecBp8fsi9/dJrgSFzwXryzzIMTvbNNULTQUwREREZAHeQiIiIiJNctAARCkGMERERE7KmZ+BsXshOyIiIiJL8QoMERGRs3LiZ2B4BYaIiMhJ3bmFpHSxxKVLl/DMM8+gUaNG8PLyQqdOnXD06FHVz41XYIiIiEgVhYWF6NWrFx555BF8+eWXaNKkCc6cOYOAgADVj8UApp5UBYhrW1T4ewjbW229JWy/GSmuE1PwWJnZNo/t3sJ9883P1AAA8P5V3C4iV+OhsJ34IqFcjQm5Wi6OXOtFxNZ1PUT9y9XdaFRUIWyXq50RvF/c/p+/mq/1Ys/PW67Oi9I6MfJ1ZKy/oC5XV0ju+yZqt/V31ZZ1XpxCPd9Ceu211xAeHo53333XuC4yMlLhAGrHW0hEREROSs1bSHem47mzlJeX1zjezp070a1bNzz55JMICgpCly5dsH79epucGwMYIiIikhUeHg4/Pz/jkpSUVGOb//znP1i7di3atGmD3bt3Y9KkSZgyZQo2bdqk+nh4C4mIiMhZqXgLKScnB76+vsbVer2+xqYGgwHdunXDkiVLAABdunTByZMnkZycjJEjRyociClegSEiInJWkkoLAF9fX5OltgAmNDQUHTp0MFnXvn17XLx4UfVTYwBDREREqujVqxeysrJM1v3yyy9o0aKF6sdiAENEROSk6rsOzIsvvojDhw9jyZIlOHv2LLZs2YJ169Zh8uTJqp8bn4FxEB4yqadyadZyAgWp0nKpyv6Z4r7l0zvNKw9wFbaHpIlTJOVSep2V0rRX2f0Fn6lc6rtcmrScvD7m06QBcSq0rVNqRecu911W8juxNbnvS2mYuF1Jerrc90nufZXbX+5vq9Or5zTq+++/H9u3b8ecOXOwcOFCREZGYuXKlRgxYoTCQdTEAIaIiMhJ6SQJOklZBGPp/o8++igeffRRRcesC95CIiIiIs3hFRgiIiJn5cSTOTKAISIiclLWTMZYWx+OiLeQiIiISHN4BYaIiMhZ8RYSERERaY0z30JiAOMgrkc1ELbbsoZE8y/FdTse3bBf2P7vRQOE7SVNzd+plKs/IUfufanwdc67pErfNzmi902u7kZZZICwXa4uh1wtFyW1f5TWFFFC7ruo9Dcu2l/u2HJ1gZTUeVF6Xvas86K0phHZFgMYIiIiZ8VbSERERKQ1znwLyTmvrxMREZFT4xUYIiIiZ8VbSERERKRFjnoLSCkGMERERM5Kkm4vSvtwQAxg1FZ4A3DxqLHaraBIuFtwob+wPa9PkLC90Qlxut/uTzabbWv9wd+E+36S2E/YXtJRJj1UQcqvXPqnXMqt0v6dVcNL1qefy6WtVvjX/P5b0u6dXShs9ygyX3JArm+f7FvCdrn9hfvaOE3alpSm5YvSsH0uiNOg7ZraruDzrgu3c5dqbzDYLvX7bsIAhoiIyEk5cxYSAxgiIiJn5cQP8d6d18+JiIhI03gFhoiIyEnpDLcXpX04Ik1dgSkoKMCIESPg6+sLf39/jB07FiUlJcJ9+vTpA51OZ7JMnDjRZJuLFy9i0KBB8Pb2RlBQEGbMmIGqqipbngoREZHtSSotDkhTV2BGjBiBK1euYO/evaisrMTo0aMxYcIEbNmyRbjf+PHjsXDhQuNrb29v4/+vrq7GoEGDEBISgu+++w5XrlxBfHw83N3dsWTJEpudCxEREVlPMwFMZmYmUlJS8P3336Nbt24AgFWrVmHgwIFYvnw5wsLCzO7r7e2NkJCQWtv27NmDn3/+GV999RWCg4MRHR2NRYsWYdasWXjllVfg4aFSml2gv6Ldg/fnC9uzJjUWtj8yZpzZtiDx5MG43lE8+69cCqYoxVIunVcpJSmYd2uKNaAs5VcuDVputur//FVcMiAkzXzqvNKZiZWk9CqdRduWada2nrVdye/YlmnScuS+q7JkymM4AmfOQtLMX+i0tDT4+/sbgxcAiI2NhYuLC9LT04X7vv/++2jcuDE6duyIOXPmoKyszKTfTp06ITg42LguLi4OxcXFOHXqlNk+y8vLUVxcbLIQERE5lDuF7JQuDkgzV2Byc3MRFGT6X2Zubm4IDAxEbm6u2f3++te/okWLFggLC8OPP/6IWbNmISsrC5988omx398HLwCMr0X9JiUlYcGCBdaeDhERESlg9wBm9uzZeO2114TbZGZmWt3/hAkTjP+/U6dOCA0NRd++fXHu3Dm0atXK6n7nzJmDxMRE4+vi4mKEh4db3R8REZHanPkWkt0DmGnTpmHUqFHCbVq2bImQkBDk55s+B1JVVYWCggKzz7fUJiYmBgBw9uxZtGrVCiEhIThy5IjJNnl5eQAg7Fev10Ov19f5uERERPXOiQvZ2T2AadKkCZo0aSK7XY8ePVBUVISMjAx07doVAPD111/DYDAYg5K6OH78OAAgNDTU2O/ixYuRn59vvEW1d+9e+Pr6okOHDhaeDRERkeNw5iswmnmIt3379ujfvz/Gjx+PI0eO4Ntvv0VCQgKGDx9uzEC6dOkS2rVrZ7yicu7cOSxatAgZGRk4f/48du7cifj4eDz00EPo3LkzAKBfv37o0KEDnn32WZw4cQK7d+/Gyy+/jMmTJ/MKCxERkYPSTAAD3M4mateuHfr27YuBAweid+/eWLdunbG9srISWVlZxiwjDw8PfPXVV+jXrx/atWuHadOm4YknnsBnn31m3MfV1RWff/45XF1d0aNHDzzzzDOIj483qRtDRESkScxCcgyBgYHConURERGQfvdGh4eH48CBA7L9tmjRAl988YUqYzRHrvaFXI0IOeEp4hoU/i9dNNuWtzZSuK9cjYeSpuI4uKK7+WrJ+g32vcolqkGh5TowcnU/FNXH8VdWG0mu1krzL0uF7W6F4naRnMHiGjOhh8R9Kzl3UT0kAPCwYyUGpXVibFnLRWltH9FnJvddkvu77c06MHal3b/QREREdNdiAENEROSs7DwX0tKlS6HT6TB16lTrOzFDU7eQiIiIqO7seQvp+++/xz//+U9j0ozaeAWGiIiIVFVSUoIRI0Zg/fr1CAiQmXDPSgxgiIiInJVBUmcBasz/V15ebvawkydPxqBBgxAbG2uzU2MAQ0RE5KxUfAYmPDwcfn5+xiUpKanWQ27duhXHjh0z264WPgNTT7wzssXt2f6K+q8KaCBsr3jCfJqjvqs4BVIujbHCV3zshtu9Ba22S79UyueCODVdaeq7PSlJTVWSxgwAAecuCdsLY1uL91dw/PDP8oXtSsodyH1fGp0Ut8ullzsrpWnScryzC63fV+bv9t0mJycHvr6+xte1FXvNycnBCy+8gL1798LT09Om42EAQ0RE5KR0UOEh3v/+r6+vr0kAU5uMjAzk5+fjvvvuM66rrq7GwYMHsXr1apSXl8PVVZ1gnQEMERGRs1Kjkq4F+/ft2xc//fSTybrRo0ejXbt2mDVrlmrBC8AAhoiIyGnVdxq1j48POnbsaLKuQYMGaNSoUY31SvEhXiIiItIcXoEhIiJyVgor6Rr7UGD//v0KB1A7BjBEREROSidJ0Cl8Bkbp/rbCAKa+BPoLm+XSoK9HidsbnRCnlla1amq2TXGqYNQ9Vu8ql+Io977IUTpzsog906zlZg8OOHbNZseG3Ay8Mt91OQFfnbV+Z4XHlk+5tU1FUUB+RmdbplnLzTYt9/dF9DuzdZr0zUgvYbso7V7u74ubBmabvpsxgCEiInJWhv8uSvtwQAxgiIiInJQz30JiFhIRERFpDq/AEBEROSsHyEKyFQYwREREzqqeK/HWJ95CIiIiIs3hFRgiIiInVd9TCdQnBjAqq7p2HdDVUv/jqrK6HI0Oi9uv/62nsL00zHxbyy3+lg/od4L35wvbC+9rbFUbIF8bQ67GhFy7PevEiMjV/LBpnRc5cjWNssR1XNyaiD9zRWxco0ZUJyZncJBw30Ynrf8+APK1WuRqA9lqX0D8viit5SRH7rcgOr7buUvKDm7lb6FKUvZdsIgT30JiAENEROSkdIbbi9I+HBGfgSEiIiLN4RUYIiIiZ8VbSERERKQ5TlwHhreQiIiISHN4BYaIiMhJOfNcSAxgnESjf34n3kAmzVpI4ZTyAV+Z3z/v8XuE+8qlUSslSrO2ZYq1nICvxKnIsuTShRV8plUKSwLYcmxKyaX8uhWWmm0LPWS+DQBuRnoJ2+XSpOXS8kWp90rLESghes8AZe95nY6vNFVaQK5kgENw4mdgeAuJiIiINIdXYIiIiJyVBEBpHRfHvADDAIaIiMhZOfMzMLyFRERERJrDKzBERETOSoIKD/GqMhLVMYAhIiJyVsxCcgwFBQUYMWIEfH194e/vj7Fjx6KkpMTs9ufPn4dOp6t1+fDDD43b1da+devW+jglIiIi2zGotDggTV2BGTFiBK5cuYK9e/eisrISo0ePxoQJE7Bly5Zatw8PD8eVK1dM1q1btw6vv/46BgwYYLL+3XffRf/+/Y2v/f39VR+/PQnrxDRpLNy3qlVTYbtsnQVB3Y9GJxTWeFBYY0LElrUxANvWp1BaS0VxrRdR3zK1M9xkvo+KyLwvcn8QsyaZH1urrbeE+/pki9vl6sSI6rzI9S9X00hprRUllNZbsmmdFxv+Dkg5zQQwmZmZSElJwffff49u3boBAFatWoWBAwdi+fLlCAsLq7GPq6srQkJCTNZt374dTz31FBo2bGiy3t/fv8a2IuXl5SgvLze+Li4utuR0iIiIbI5ZSA4gLS0N/v7+xuAFAGJjY+Hi4oL09PQ69ZGRkYHjx49j7NixNdomT56Mxo0bo3v37tiwYQMkmQ8sKSkJfn5+xiU8PNyyEyIiIrK1O8/AKF0ckGYCmNzcXAQFBZmsc3NzQ2BgIHJzc+vUxzvvvIP27dujZ0/TsvoLFy7EBx98gL179+KJJ57Ac889h1WrVgn7mjNnDm7cuGFccnJyLDshIiIisprdbyHNnj0br732mnCbzMxMxce5desWtmzZgrlz59Zo+/26Ll26oLS0FK+//jqmTJlitj+9Xg+9Xq94XERERDbjxFlIdg9gpk2bhlGjRgm3admyJUJCQpCfn2+yvqqqCgUFBXV6duWjjz5CWVkZ4uPjZbeNiYnBokWLUF5eziCFiIi0iwGM7TRp0gRNmjSR3a5Hjx4oKipCRkYGunbtCgD4+uuvYTAYEBMTI7v/O++8gz//+c91Otbx48cREBDA4IWIiMhB2T2Aqav27dujf//+GD9+PJKTk1FZWYmEhAQMHz7cmIF06dIl9O3bF5s3b0b37t2N+549exYHDx7EF198UaPfzz77DHl5eXjggQfg6emJvXv3YsmSJZg+fXq9nZu9yaYKyrTnTO8pbG90stJsm1yqsmx6p8K0WJtSmMqsiCB1HZBPZbYrmbHb9H2V6bvtYkG7wnEHnBPvLtu/gJJSB0rJlTLwzshW1j9TncUMAHQq9FFHSUlJ+OSTT3D69Gl4eXmhZ8+eeO2119C2bVuFg6hJMw/xAsD777+Pdu3aoW/fvhg4cCB69+6NdevWGdsrKyuRlZWFsrIyk/02bNiAZs2aoV+/fjX6dHd3x5o1a9CjRw9ER0fjn//8J1asWIH58+fb/HyIiIhs6U4atdKlrg4cOIDJkyfj8OHDxppt/fr1Q2mp+rWGNHMFBgACAwPNFq0DgIiIiFrTn5csWYIlS5bUuk///v1NCtgRERFRTX+sd1ZbMktKSorJ640bNyIoKAgZGRl46KGHVB2Ppq7AEBERkQVUrAMTHh5uUv8sKSlJ9vA3btwAcPsChNo0dQWGiIiILGCQAJ3CLCLD7f1zcnLg6+trXC2X6GIwGDB16lT06tULHTt2VDaGWjCAISIiclYqplH7+vqaBDByJk+ejJMnT+LQoUPKjm8GAxgiIiJSVUJCAj7//HMcPHgQzZo1s8kxGMCQYqHLBTNdK1Ql0+7WtrV4A1um3MqlntowNVWOQ6dJy5CdrVr0mdszdd3Wx5brX8n3TaZvuRnpRWRnjGcatI2pMZdR3feXJAnPP/88tm/fjv379yMyMlLhsc1jAENEROSs6rkS7+TJk7FlyxZ8+umn8PHxMc5V6OfnBy8vL2Xj+ANmIREREZEq1q5dixs3bqBPnz4IDQ01Ltu2bVP9WLwCQ0RE5KwMEiy5BWS+j7qprRabrTCAISIiclaS4faitA8HxFtIREREpDm8AkNEROSs6vkh3vrEAIaIiMhZ1fMzMPWJAQxpmtJ6J25NGptvtHEdl6qABmbbZGtnaLjOi1Kicxd+no5O4ffNpt8JBbVa5Go5EVmLAQwREZGz4i0kIiIi0hwJKgQwqoxEdQxgiIiInJUTX4FhGjURERFpDq/AEBEROSuDAYDCQnQGxyxkxwCGiIjIWTnxLSQGMHRXqxKkh8r+OGTSXssiAywej9HhE9bvexcTfZ6AndOs5dKkC4qEzXLnRnS3YQBDRETkrHgFhoiIiDTHiSvxMguJiIiINIdXYIiIiJyUJBkgScqyiJTubysMYIiIiJyVJCm/BeSgz8DwFhIRERFpDq/AEBEROStJhYd4HfQKDAMYIjNk627ItHtkqTgYUoXsZ/pAlLDZrbBUxdGYYp0XsgmDAdApfIaFz8AQERFRvXLiKzB8BoaIiIg0h1dgiIiInJRkMEBSeAuJadRERERUv3gLiYiIiMhx8AoMERGRszJIgM45r8BoKoBZvHgxdu3ahePHj8PDwwNFRUWy+0iShPnz52P9+vUoKipCr169sHbtWrRp08a4TUFBAZ5//nl89tlncHFxwRNPPIG33noLDRs2tOHZEJHDOXxC2FxVT8MgUo0kAVCaRu2YAYymbiFVVFTgySefxKRJk+q8z7Jly/D2228jOTkZ6enpaNCgAeLi4vDbb78ZtxkxYgROnTqFvXv34vPPP8fBgwcxYcIEW5wCERERqUBTV2AWLFgAANi4cWOdtpckCStXrsTLL7+MIUOGAAA2b96M4OBg7NixA8OHD0dmZiZSUlLw/fffo1u3bgCAVatWYeDAgVi+fDnCwsJsci5ERES2JhkkSApvIUm8AlP/srOzkZubi9jYWOM6Pz8/xMTEIC0tDQCQlpYGf39/Y/ACALGxsXBxcUF6errZvsvLy1FcXGyyEBERORTJoM7igJw6gMnNzQUABAcHm6wPDg42tuXm5iIoKMik3c3NDYGBgcZtapOUlAQ/Pz/jEh4ervLoiYiIlJEMkiqLpdasWYOIiAh4enoiJiYGR44cUf3c7B7AzJ49GzqdTricPn3a3sOsYc6cObhx44ZxycnJsfeQiIiI7G7btm1ITEzE/PnzcezYMURFRSEuLg75+fmqHsfuz8BMmzYNo0aNEm7TsmVLq/oOCQkBAOTl5SE0NNS4Pi8vD9HR0cZt/vimVlVVoaCgwLh/bfR6PfR6vfH1nXuEVahUXDOIiIicVxUqAdTPsyVVUrniW0B3xvvHRyX++O/gHStWrMD48eMxevRoAEBycjJ27dqFDRs2YPbs2YrGYkLSoHfffVfy8/OT3c5gMEghISHS8uXLjetu3Lgh6fV66d///rckSZL0888/SwCko0ePGrfZvXu3pNPppEuXLtV5TDk5OXfKHXLhwoULFy6yS05OTt3/4bPQrVu3pJCQENXG2rBhwxrr5s+fX+O45eXlkqurq7R9+3aT9fHx8dKf//xnVc/R7ldgLHHx4kUUFBTg4sWLqK6uxvHjxwEArVu3NtZsadeuHZKSkvDYY49Bp9Nh6tSpePXVV9GmTRtERkZi7ty5CAsLw9ChQwEA7du3R//+/TF+/HgkJyejsrISCQkJGD58uEUZSGFhYcjJyYGPjw90Oh2Ki4sRHh6OnJwc+Pr6qv1W2JzWxw9o/xy0Pn6A5+AItD5+wPnOwcfHBzdv3rRplqunpyeys7NRUVGhSn+SJEGn05msq+3qy7Vr11BdXV3rs6dqPw6iqQBm3rx52LRpk/F1ly5dAAD79u1Dnz59AABZWVm4ceOGcZuZM2eitLQUEyZMQFFREXr37o2UlBR4enoat3n//feRkJCAvn37GgvZvf322xaNzcXFBc2aNaux3tfXV7M/OED74we0fw5aHz/Ac3AEWh8/4Fzn4OfnZ/NjeXp6mvxb52w0FcBs3LhRtgaM9Id7ijqdDgsXLsTChQvN7hMYGIgtW7aoMUQiIqK7VuPGjeHq6oq8vDyT9Xl5ecLnSq1h9ywkIiIicg4eHh7o2rUrUlNTjesMBgNSU1PRo0cPVY+lqSswWqLX6zF//vxa7xFqgdbHD2j/HLQ+foDn4Ai0Pn6A56A1iYmJGDlyJLp164bu3btj5cqVKC0tNWYlqUUn/fGeCxEREZECq1evxuuvv47c3FxER0fj7bffRkxMjKrHYABDREREmsNnYIiIiEhzGMAQERGR5jCAISIiIs1hAENERESawwDGBupjGnFyLkVFRejWrRuio6PRsWNHrF+/3t5DumtFRESgc+fOiI6OxiOPPGLv4VjEGb5HWVlZiI6ONi5eXl7YsWOHvYdVJ0lJSbj//vvh4+ODoKAgDB06FFlZWfYeltNiFpLKtm3bhvj4eCQnJyMmJgYrV67Ehx9+iKysLAQFBdl7eLJOnz6NXr16wd/fHz4+Pjh79iyio6Nx6NAhew+tzrR4DtXV1SgvL4e3tzdKS0vRsWNHHD16FI0aNbL30O46EREROHnypHF+NS1xtu9RSUkJIiIicOHCBTRo0MDew5HVv39/DB8+HPfffz+qqqrw0ksv4eTJk/j55581MX7NUXVqSJK6d+8uTZ482fi6urpaCgsLk5KSkuw4KssMGDBA+vHHHyVJkqR77rlHKikpsfOILKflc7h+/brUokUL6erVq1JmZqYUGBgotWzZUoqKipIaNGgg9erVy95DlNWuXTuzs9quWrXK3sMTatGihXTz5k2TdVr8HJzhe/T+++9LTz31lCRJ2vwM8vPzJQDSgQMHJEnS9u/CETGAUVF9TiNuSy1btpTKy8ul0tJSqVWrVvYejlW0eA6FhYVS586dJS8vL2n16tXG9VoMxk6dOiUBkFJTU6UrV65I58+fl1xcXKQPP/xQ+u233+w9PKGIiAjpvvvuk7p16ya99957xvVa+Ryc6Xs0ZMgQ6eOPPza+1to5nDlzRgIg/fTTT5Ikaft34Yj4DIyKRNOI5+bm2mlUlrl58yb0ej08PDxw6tQptG/f3t5DsphWz8Hf3x8nTpxAdnY2tmzZYpwMLSsrC23btkVZWRmqq6s1cSk6Ly8Pbm5u6NWrF0JCQnDt2jUYDAY8+OCDDl9K/dChQ8jIyMDOnTuxZMkS/PjjjwC08zk4y/eouLgY3333HQYOHGhcp6VzMBgMmDp1Knr16oWOHTsC0PbvwhExgCETP//8Mzp06AAAyMzMxD333GPnEVlO6+cQHByMqKgofPPNN5oNxn766Sfcc889xj/KJ06cQFBQUI3g3hE1bdoUABAaGoqBAwfi2LFjmvwctP49+vTTT9GvXz94enoC0N5/mEyePBknT57E1q1bjeu0/LtwRAxgVFSf04jbyqlTp3DvvfcCABo0aIA9e/bg+vXrdh6VZbR4Dnl5ebh58yYA4MaNGzh48CDatm2r2WDsxx9/RKdOnYyvT5w4YfLaUZWWlho/h5KSEnz99de49957NfM5ONP36IMPPsCwYcOMr7V0DgkJCfj888+xb98+NGvWzLheq78LR8UARkX1OY24rYwZMwYLFiwAADzxxBP46aefNJfBoMVzuHDhAh588EFERUXhwQcfxPPPP49OnTppMhgDbv+h7ty5s/H1iRMnTF47qry8PPTu3RtRUVF44IEHEB8fj/vvv18zn4OzfI9u3LiBI0eOIC4uzrhOC+cgSRISEhKwfft2fP3114iMjDRp1+rvwlExjVpl27Ztw8iRI/HPf/7TOI34Bx98gNOnT/MyId0VDAYDfHx8sG3bNjz66KMAgPDwcMyYMQNTpkyx8+iIbOe5557Dli1b8Omnn6Jt27bG9X5+ftDr9fxdqIwBjA3UxzTitqLT6YTtWvi6OMM5aNmZM2dwzz334MKFC2jevDkAYODAgUhLS8Pnn3+OXr162XmERLZh7m/Pu+++i169evF3oTIGMFSrsrIytG/fHk8++SSWL19u7+FYJCcnB88++yzy8/Ph5uaGuXPn4sknn7T3sITkgi5z+PNVl9Y/B62PH3COc6D6wWdgqFaLFy/GAw88YO9hWMXNzQ0rV67Ezz//jD179mDq1KkoLS2197CEpNs1mUyW0tJSNG/eHNOmTau1nX+w1af1z+H3Y7p48SIefvhhtG/fHp06dcIHH3zg8OMHtP8ZUP1hAEM1nDlzBqdPn8aAAQPsPRSrhIaGIjo6GgAQEhKCxo0bo6CgwL6DsoKWg0hnotXPQYuBvDla/QzIthjAUA3Tp09HUlKSvYehioyMDFRXVyM8PNzeQ7GI1oNIZ6Hlz8FZAnktfwZkWwxgyMSnn36Ke+65x6FrLNRVQUEB4uPjsW7dOnsPxWLOFERqmbN8DloN5AHn+QxIfQxgyMThw4exdetWREREYPr06Vi/fj0WLlxo72FZrLy8HEOHDsXs2bPRs2dPew/HIs4URGqZs3wOWg7kneUzINtws/cAyLEkJSUZ/2tn48aNOHnyJObNm2fnUVlGkiSMGjUKf/rTn/Dss8/aezgWuxNEfvjhhygpKUFlZSV8fX019zlonTN8DloO5AHn+AzIdphGTWbdCWC0lkZ96NAhPPTQQyYVLv/v//5PkyW7tfoZOBstfg6SJOGvf/0r2rZti1deecXew1FMi58B2RavwJBZo0aNsvcQrNK7d28YDAZ7D4PIrr799lts27YNnTt3xo4dOwBoN5Anqg2vwBAREZHm8CFeIiIi0hwGMERERKQ5DGCIiIhIcxjAEBERkeYwgCEiIiLNYQBDREREmsMAhoiIiDSHAQwRERFpDgMYIiIi0hwGMERERKQ5DGCIiIhIcxjAENWjPn36YOrUqXfdsS11/fp1BAUF4fz58zbp//fvhT3el+HDh+ONN96o12MSORtO5kikglGjRmHTpk0AADc3NwQGBqJz5854+umnMWrUKLi43P5vhYKCAri7u8PHx8em4+nTpw+io6OxcuVK47r6OrYaEhMTcfPmTaxfv94m/f/+/bHH+3Ly5Ek89NBDyM7Ohp+fX70dl8iZ8AoMkUr69++PK1eu4Pz58/jyyy/xyCOP4IUXXsCjjz6KqqoqAEBgYKDwH8qKigqbjU/u2I6irKwM77zzDsaOHWt2GzXfJ3u8Lx07dkSrVq3w3nvv1etxiZwJAxgilej1eoSEhKBp06a477778NJLL+HTTz/Fl19+iY0bNwKoebuiT58+SEhIwNSpU9G4cWPExcUBAAwGA5KSkhAZGQkvLy9ERUXho48+Mu5nMBiwbNkytG7dGnq9Hs2bN8fixYsB3L4adODAAbz11lvQ6XTQ6XQ4f/58jWOXl5djypQpCAoKgqenJ3r37o3vv//e5Jz69OmDKVOmYObMmQgMDERISAheeeUV2fdi0qRJ6N27d61tzZo1w9KlS83u+8UXX0Cv1+OBBx6QfZ9SUlLQu3dv+Pv7o1GjRnj00Udx7tw5k/5KS0sRHx+Phg0bIjQ0tMatmz++L3Xpsy7vy0cffYROnTrBy8sLjRo1QmxsLEpLS43tgwcPxtatW82+D0QkxgCGyIb+9Kc/ISoqCp988onZbTZt2gQPDw98++23SE5OBgAkJSVh8+bNSE5OxqlTp/Diiy/imWeewYEDBwAAc+bMwdKlSzF37lz8/PPP2LJlC4KDgwEAb731Fnr06IHx48fjypUruHLlCsLDw2scd+bMmfj444+xadMmHDt2DK1bt0ZcXBwKCgpqjK9BgwZIT0/HsmXLsHDhQuzdu9fs+Zw6dQrr1q3DsmXLam1v3749jh8/bnb/b775Bl27dq3T+1RaWorExEQcPXoUqampcHFxwWOPPQaDwWDcb8aMGThw4AA+/fRT7NmzB/v378exY8fMHr8ufcq9L1euXMHTTz+NMWPGIDMzE/v378fjjz+O39+x7969O44cOYLy8nKzYyEiAYmIFBs5cqQ0ZMiQWtuGDRsmtW/fXpIkSXr44YelF154wdj28MMPS126dDHZ/rfffpO8vb2l7777zmT92LFjpaeffloqLi6W9Hq9tH79erPj+eNx/riupKREcnd3l95//31je0VFhRQWFiYtW7bMZJ/evXub9HP//fdLs2bNMnvskSNHSjExMWbbn3rqKenhhx822z5kyBBpzJgxNcb+x/epNlevXpUASD/99JMkSZJ08+ZNycPDQ/rggw+M21y/fl3y8vIyvhe1vVeiPu/sI3pfMjIyJADS+fPnzfZ74sQJ2W2IyDxegSGyMUmSoNPpzLb/8WrD2bNnUVZWhv/3//4fGjZsaFw2b96Mc+fOITMzE+Xl5ejbt6/VYzp37hwqKyvRq1cv4zp3d3d0794dmZmZJtt27tzZ5HVoaCjy8/Nr7beqqgqffPIJnnjiCeO6v/3tb3jnnXeMr2/evAkvLy+zY7t16xY8PT1rrK/tqsyZM2fw9NNPo2XLlvD19UVERAQA4OLFi8bzrKioQExMjHGfwMBAtG3b1uzx5fq8Q/S+REVFoW/fvujUqROefPJJrF+/HoWFhSbb33kPysrKzI6FiMxzs/cAiJxdZmYmIiMjzbY3aNDA5HVJSQkAYNeuXWjatKlJm16vR1FRkepjFHF3dzd5rdPpatxOuePcuXO4efMmOnXqBOD2szoffvihSbD1448/YtiwYWaP17hx4xr/2AM13yfg9nMkLVq0wPr16xEWFgaDwYCOHTsqesi3rn2K3hdXV1fs3bsX3333Hfbs2YNVq1bh73//O9LT043fhTu36po0aWL1WInuZrwCQ2RDX3/9NX766SeTKxJyOnToAL1ej4sXL6J169YmS3h4ONq0aQMvLy+kpqaa7cPDwwPV1dVm21u1amV8nuSOyspKfP/99+jQoUOdx/pHd4Krhg0bAgB2796NwsJC4xWVw4cP49KlS3jsscfM9tGlSxf8/PPPsse6fv06srKy8PLLL6Nv375o3759jcCnVatWcHd3R3p6unFdYWEhfvnlF6v7rCudTodevXphwYIF+OGHH+Dh4YHt27cb20+ePIlmzZqhcePGVvVPdLfjFRgilZSXlyM3NxfV1dXIy8tDSkoKkpKS8OijjyI+Pr7O/fj4+GD69Ol48cUXYTAY0Lt3b9y4cQPffvstfH19MXLkSMyaNQszZ86Eh4cHevXqhatXr+LUqVPG1OOIiAikp6fj/PnzaNiwIQIDA02O0aBBA0yaNAkzZsxAYGAgmjdvjmXLlqGsrEyYviynRYsW0Ol0+Pe//40GDRpg+vTpGDRoED799FOEh4dj4sSJiI2NNZuhBABxcXGYM2cOCgsLERAQYHa7gIAANGrUCOvWrUNoaCguXryI2bNnm2zTsGFDjB07FjNmzECjRo0QFBSEv//978a6PNb0WRfp6elITU1Fv379EBQUhPT0dFy9ehXt27c3bvPNN9+gX79+FvdNRLcxgCFSSUpKCkJDQ+Hm5oaAgABERUXh7bffxsiRI83+g2nOokWL0KRJEyQlJeE///kP/P39janZADB37ly4ublh3rx5uHz5MkJDQzFx4kTj/tOnT8fIkSPRoUMH3Lp1C9nZ2TWOsXTpUhgMBjz77LO4efMmunXrht27dwuDBjkhISFYvHgxli5dio8//hhLlixB165dMWTIEGzbtg2DBw/GP/7xD2EfnTp1wn333YcPPvgAf/vb38xu5+Ligq1bt2LKlCno2LEj2rZti7fffht9+vQx2e71119HSUkJBg8eDB8fH0ybNg03btxQ1KccX19fHDx4ECtXrkRxcTFatGiBN954AwMGDAAA/Pbbb9ixYwdSUlIs6peI/oeVeInI4ezatQszZszAyZMnLQ7+tGDt2rXYvn079uzZY++hEGkWr8AQkcMZNGgQzpw5g0uXLtVaw0br3N3dsWrVKnsPg0jTeAWGiIiINMf5rs0SERGR02MAQ0RERJrDAIaIiIg0hwEMERERaQ4DGCIiItIcBjBERESkOQxgiIiISHMYwBAREZHmMIAhIiIizfn/bRKigVGk498AAAAASUVORK5CYII=", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "i = 3\n", + "shape = np.loadtxt(data_dir + file_names[i])\n", + "# shape = normalize(shape)\n", + "G = EmbeddedComplex() # Using the unified EmbeddedComplex class\n", + "G.add_cycle(shape)\n", + "G.plot(with_labels=False, node_size=10);" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_dirs = 50 # set number of directional axes\n", - "num_thresh = 50 # set number of thresholds each axis\n", - "\n", - "myect = ECT(num_dirs=num_dirs, num_thresh=num_thresh); # intiate ECT\n", - "result = myect.calculate(G); # calculate ECT on embedded graph\n", - "\n", - "result.plot(); # plot ECT" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " Let's just make a data loader with all of this for ease in a bit." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def matisse_ect(filename, ect):\n", - " shape = np.loadtxt(data_dir + filename)\n", - " G = EmbeddedComplex() # Using the unified EmbeddedComplex class \n", - " G.add_cycle(shape)\n", - " G.transform_coordinates(projection_type=\"pca\")\n", - " G.scale_coordinates(1)\n", - " result = ect.calculate(G)\n", - " return result" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " And now we can load in all the outlines, compute their ECT and store it in a 3D array." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "num_dirs = 50 # set number of directional axes\n", - "num_thresh = 50 # set number of thresholds each axis\n", - "\n", - "ect_arr = np.zeros((len(file_names), num_dirs, num_thresh))\n", - "myect = ECT(num_dirs=num_dirs, num_thresh=num_thresh, bound_radius=1)\n", - "\n", - "for i in range(len(file_names)): # for each leaf\n", - " ect_arr[i, :, :] = matisse_ect(file_names[i], myect)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " Here, we are just going to compute the distance between two ECTs using $L_2$ distance." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/plain": [ - "" + "cell_type": "markdown", + "metadata": {}, + "source": [ + " We're going to align the leaf using the PCA coordinates, min-max center, and scale it to fit in a ball of radius 1 for ease of comparisons." ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" }, { - "data": { - "image/png": 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GA/nGf//P0mq1CmPZbicNEnw0dvnll8tll11m/7/dbsu+fftk7ddeKHs/eJstv+u8HxIRkYPhflvWCRb0rxlbFlTNhI2Evhgz83dWcV9+R/UphzX3BX9veqopqzRt2fHUJGiLIiqTndoX92V+JNslIiK91LWbZuaeLHb3Brp4EnobVzLzo7Q2MdeNqn37WT8xP8aT2P3Apepar4UueVw7NdclsfsWSobm27IXubKBmB+R0YRekNS0u5W6H5ggMH+PMzc/ma7QMOAvFX0ZA/51MO2FdbcEU5Q16FtSX4yDwT4REfl21W0AHozMBqEaunEHOo+Hwr2u3qWGiIgMl1y1+JFIqakJXkL6Ehxh2TBSofd0n0o//At6K73ImZKpUvdoZRDl2xdxL3/KX7D6+UjfYRqiJHgE9CWEL6SUv8D1b/oNEyy90YwULNcnbS+jb4j+zuI9ZV+IKEvoetTDP6gTHVvg9kC2D6gvofnEm8nPDPXxD2uZlbWPehKaW/u20njQp8i9cvTDSkVpsS/2i51/xbL89SJug4DrBq2Sz+jZoo0J1YG2cnOBdrkt7XM2V3Idd1PXPK+LdJL/TITmwH3VyQD+AfUZ9Yy27WOSoW4wgpJObLOT8oP1aNPc12o1qdVqhXJv3rx58/b9YyeFJTiNae69efPmzdvJtZMWOPw3f/M3cvHFF8sHP/hBed7znidXXXWVfOITn5Bvf/vbhbOt7YYgtrP/+i3SHy3a8rN++VYREbnzz86xZUHf+Mdxx/02T+aMfxwMGYs3f2cVwnAj83e85e4d7zKYQtiOC/emDfa7zT/hTgcxpseNlxhSu8ms9mVUdIdDKkvmjB8dDExfsqbzq6urxteezFDf40zHQ7j7qLg/qWyYstGyw0Uqx83YJk0+W9D6qnT2gb7QnEU6VymX6TiSGvVPP89CVxZMdLyELwHCSRZM/5b3btjPVg/ps6duxhum7+led16WjswaiGpuznBOmE0In6+bNiYdwkC0n2HF3ZttGAwk3uUwovGGwoMRzU/D1JeOXRtR1TyPhJ+FnqmGVepfV8/EZnW98TwBcyPIeNwzfQrC4jOLqd7xwMxPGNO6APQzeWhIpj5jMJ8JzRmeVZJwmfknojmLtb0hn22q4fmIuHlGn/jbqa7ny8OhqyPR8VToHHWibQQ0RpxbR1SWjIvvQ6TvC39Wa5pnMB65dz6MiudzyVi/a2i+MS/Vqnu/hv2KtsX4cX4e+Tna9cv16jPgc+5kUsRFozjJ1SsikunaD2mtYrzcd6yfcZeOTnT+KnXX7mhD0S965/Eu8TzinoDW7bBTk7Q/kAcu+d1HFJR80s6wfv7nf16OHj0q73znO2VlZUV+4Ad+QL7whS887I+VN2/evHn7/rSplGaCh/Vfv/r8HMHiU1//QRERecprvmrL7rz2ecUKdJfLB5GVWbNDS1bcCTl2/5Vl2knr51mDdo9r5nc/etKWLRuuNQptxG2zA0pmaOenfYlmiTChO6CYdmDjzUdwhseUqUrxsfKO07aP3TJdHqmXkrDHqJfVd7i5sDtFqnfSNruxcMadbqeT4q4x0x1fc97V12sbL4V3/9gFht818zne7zzW2kFzfUCH5v295n+ivtvZ/cSPfE1ERBYqPVu2MTbP8cjQnfjvqZsYk7u3HFtgqWbYk0tVdy8+fx4xFv/hyFNMnyLXmSe3jhbqe2rLnNv2iXjTHte1f24u7ukahsiTZo+JiMiOimNxjvVUfT52fbpl4wwREQlpDYT6UE9tbNiyg11Dwtldd2t1uWrGfXjomLQVZQTMxa5Pi9qHzUmTrjNr9Pi4yOJYpPneXTFt3DNwc9GemHGPUrdvbsXGM071VD8O3Tuwv7YmIiJrE9fWfX3jZT9lxgkOfKtziojkn9lQ25iJ3fpZG5lxNCK3VvfWNkVEZHXkdvpPbpi6x8Rm6CgtMyU0AJ8zaxXtztM83j8wz3ZH1T2DnjIXasqu4Xrbk4Z+5vqJtuZiQhJAbqJ+oi9bifv+WFPGzSn1TVv2oLIklmsuzgp94XUBwzyJiPzjkbPMvcp4FhHZ11gXEZEutburaj6v0Qv79fZpMu6O5O9+/COPyMOaWvFbb968efP2/WX+B8ubN2/evE2FTTUkeO6n30BxViLdQyZ4AYQDEZGn/JoR1D14pWMfThSSYwKB6IF80KFjPaBlVF+8qQerPYIClMTBUJ8A1qLDdUCCXF/SNNeBwMD9AlwoIvYwP9w0/WOiQ9xV8gOdmYPMITPO/c70UD0YOsgAZJTJrGsLJJPxPB3Aap+rcw7uADwqC+7AOzxqoI1k0bUbrRnoMJmneKlxEYq088IrEmPSuXjK6S4Q+s57TQgEE2DsHMw7+KSpAeI1CoTuD00/J2M3F1U9wO7TIXNdD/ObNXfv2oaBVGZnHRzTPqLQIh1kNxcMDNTvuHitmhIX4rh4MM/Eit6WgVJmWqaN2bqb95Eers9UXZ9W1s3anwyJGKAEgrlZB0d1thReqrt7Ufeo5NA+jty6qCrRoDdypIeG9mFr4KAfjKJecc+7VTNtrHUdnIj2mBAAcsIEY6y7tVXTOENeHkfWDIS0e6ldKJudcc+nr0SNGpEfJiA40HvTrJn2ugO3BvYumLr7Yzfu4STWf92czei9SUrj0TlL6OUcjs29NZqfgc4p6ugOKcAL/aV6K1ovP5/t9Yu458PPDHM7P+PWxWbXrIvZhltnmfaZx4hRcN+PHl4QEZH6gptvrO+Mxo0+12ndHt+YlbQ3kIO/8m4PCXrz5s2btyeOTYXSxYnMyC25A9iKegvjRbd7hWd14PIbbdk97zJlSZ32auqlRAO3IwCtm2ntk4aWkYcV6d8h0XMnKq2T1Zn+aj4PUtrSadWgxouIRB2luNZdGTwqG01PdVhVAo66HyvVnjw8eDVM54/6RZmfShtl5PXFUAdxO+lK11w3idzuzc7fGpXppi3rEn25hMaP6Hk6s7bPKJkrAQLUY0xrbpdZO2raGNE5cfeY2dV3mfINIgj1Y6yebdR14+5XzKT2yBuPOqaN9hJ5qkpUYS+3N9Q1RQSQAZ4HPW8bbkCed9gzZVtbpt6tSpHUsEHU4mytSMoBdrK+5Z5FqM+gW3OLpVtVghDTvNE9pr+rx5aRR7SOLpeETHRoPMe1r6Drm4q03jF5H5W8l90PSQFGZbo4FAGIyGFCDYK2aWOjTS+EDmNIHnCAeshJ6SJcZOjauFtDBlKm809KxmsrpnWG95sJR5A7YRKUvs+biiRk1L5dK2XuRaVYB6+tNkI5+HtA+97HcxcXLtOvuzI7Dl4XGAa9cyCdDQfuWQ3wHNkBrGsID4dobFQkHRS/C05k3sPy5s2bN29TYf4Hy5s3b968TYVNNSSYpYEVshVxChZCZIXJjHE3AQOKiJzxdgMPfve/kAyUur8MVQW1ojJxpiSG+JCDG3p7iveWSjcDDSLFB5AtInde6ZSlyVWGl58qRBaQKsF4QYkbBD0B1pvQgSkEQGvrBFHtTAtlo7ki7JmpAjYjIVbBgvoCCC8mWA3CrUmDFcLNv/U1GofyFiZ0nYVKUwhkFpW9+XkDds36UfE6MtTLUGwwALTLyqc6RoqJC0pgsFBhzJRhWcUH+VlBeYXFbAEjZtxRwCaAsJLiIBias0KqPD1aFuTgIO0TqavjYDynhKLtZrSntYKnJYoYPI9QcsnFG4LgQPAflGQYIs8CvHN2UtxnveLXFZ5VwhA5xt2j8YDjQ3AUoNqUvkMyhb+YBJXWoJJLbZSoZFhVGcaFUURdt6o6WRFqs/PNbZXMhYX8qX1bL8Geth7qE2DwLKSjAX1feZllCvvxM8P6YSWbSgft0vcASGIEbeKejLlpg8C+d4/EvIflzZs3b96mwqbaw5qZG+RShKQ4+KbzZ1DEmWABz+rMNxeJGCkdFKdl3oKSKPq72Fso2f1qPTmNM02bkdVp54nP0iKlmD0su1PDLo5o6KIHz8kMadFpvpyMDkfDnhISmMCgO6HBqY5qGm0id4FrH7ujnK5iC5T8h94hjdQDjMhjg+5hh/qC8eY2ntiF6xyv9ekQXj2CjDXjSkgs4ZJxfxqU62yo9O9xnwgJOrdjIinA04EuoIibltoSqX4EelhNfam2VHtvzj3bSMcz6dOrBy1BIlFAKw40eKZeg0zB+nSd1JAyWC8ReoUxl8GDoMP6inqPwwppxildmvXmuD3bde17Sh6O1dRjin/TPINe1b2cobYx6hFBR73lUBOLMeW9rlR8LhvVzL31Wfdsx/qOsl4j1FN4PBPVIWQSAHK7jepuLmZVjYXHONYx5p6Lfl4lfb+RErFmaO2122atVEi3D/eiLxxsVKZRiHXLuegmSmdnncOa9mVM4RsjJZFUG+6dH9W1vhlXX6TPp98thiw0qN0BNEUJ6ajM6dqndmdmzRpglGQrm5G0X1xXJzLvYXnz5s2bt6kw/4PlzZs3b96mwqYaEux26jZTsIhIhNTyDA8A8iFYD6fmZUSMg+9xZS41h3NroRAwCpybnCgaVD/m2khmTV8WWg42OqYwVMCHsoAjtooxSmUHtYHCHRFBOgkeI8F/9gC0JF0Kk0jsqS2TGbIixIeDaU6NAs3SmLO4Il6M4D97Lx3e2sNyIljEGhM24fg4hMoo3LlYp/lsmYZzKSNU9SJcdGsgUfitOykecrOyCdLDRFt8UKz/EhyEz4cUy2QPsgnPxNrLCJ5EPSHFpNlswbnYLFUZQLv8SPRZcToJkDlySS8UEpvwSbrOQUKp50EqyHoES+viS2mdDeolRINtpBgRsXE7KUFtHW2XiRNYy/wMEl3DCeAliq8agFTAbem4h4F7FiBOMIkkRX1MXACkTDDhEGKtdG83rBfGiHHnUphouwyDZdr/TuLKUoWcRzUmBm2LM+R3UCG3UYPIM12NfeLbtK2kRt9D2hcm6ICQNCLiCOKwhrwGMWeUbgeklSGLLI9AACmufY5n62M98OvdjVwa7kdg3sPy5s2bN29TYVPtYdUaI8kqThYhGRhXh1OE4BCTCQx2R0AEC3hWB952Y6GMtf/6m2a3VaddeKIeBCdQBP3z6KqTXLA6gEw7RdA7eSTYgaR09m83NLo7S9ghgudEVG5oBDLZBHRfnotUKfasxweKPTwe0wYIDq5dUOfzbGzQxV0Z+pITAAC9Wsi0f5UtImco1T08asZ9aJHm80hV++aqqG2oZ1Khw/0detjLCetw4M4dwAaQHQ14rXSgnKoCScR0+hKacaYb84B3kJqQkb0pexPVB08NfY7pIH+iB/kV1sWL1MNIiuuI9Q0FjietCyQGnFA/MyRSJA8C6W4S8lRDeETkCYF4EjCxA4f/7BFkRWJQIQSB6gCqwHOXqZvPyS+TEs/JzgvVZ99r9haUoMJtxCVkk8mo+NWJ8TKxI9V+MREiiXXtkQ6gTTAJpYucgIW+31QvCA5MnrFgCXm2IGpMHOAgWaChFUTySRNNGEoEHbSX8DovShe6sA0KD7DkEfruBImD53sSZ/nn9DDmPSxv3rx58zYV5n+wvHnz5s3bVNhUQ4JP3nlcjtLh5LFjisGwh6k/yRCyFXEKFinBIiBYMOkC8OCd11DWYuhBUhwUoDuGNmx0+LC4J8gpHyiJIQ8nan30dCzsN96OmbhYM3bXAWtxjJjNIJwTzlVojuYsxbkzETZwx4RShFSOx1pGDZdEwqMPIxIlhsoAqyGkkR4Ql0AENp0Kpc8AnMnPezxXhCIQM8JpDcZN09ag6XDXWY0V2mw7SLmuUFaF0il0K2adLS24jLFHFU5jGKw1ZwgivapLLzI/Z7L2DijdA+KKOPVFv28gPqTI4HQOSF9RJZjpiB6uRyVZpXncPU2bUaN0KTVNBdGjMk51YvveMH3pU/qKSK8bUNlY/241nXzLTFXTZowcOQL3jAheQ6xXWWTfYtPM53rPCbSOFNZaarmMzOvVZmEMiGvieez2zULnVC/4fFB3z2en1j2m9B54BqywkWoZz/dEyRZIjSIisqlrqixlDOrgtCF9XStVqgPpcTgdSIrXgb4TZzVdCadG2aqbcfPz6Tarhb7j2bZjt34BoXO7xxAnRhDjXMtke+Z1jlQxFV63aShBj9SuH8a8h+XNmzdv3qbCpjqB4xlXvFvCGv364wz1SW63NVo3n1c2iAKsP/BBiSYa78xHS+bCp7zuK7bsux/7ARERib7rdnnQ8qsdIwruaWansrRn05atrZrkZEyOgFcWrxPdt+g4yATJFMFzoLQl4bFK7jMzRvXc5ug61VbLaQRC1KJFihjq9bE3l0DVgvTZrP4hb3u000xhh7eVMk1/W1sijjIbjYr9G51pdtc//KR77Wdf+c4ZZjxESIi+ZVgak7N7tiy+w+y4ywgo0EEzn+tnJbR/vhdjy+mpKVEkIZUVeICs3BFhvCVvHde3nXhT5nFwFYGdd76g2M/t13NFISubxMV7bF94frAemTehnzN5BfeGtJmGJx9v8TPAS6zXc8hECR6EtcL6kyAVlY2R58Km6uHJhVJKiT5mboy4l5npCdooXsdCNnG/eN127dGghNzAbWGMOV1SGw5DpA+ds5wEJ14XJktB/7HBF+o/9Ayg+5hSu7XjxbWPenitJMUMOFLpBJIMB/Kd9/2WT+DozZs3b96eOOZ/sLx58+bN21TYVJMu/v2P/LPcm55q//87B5dFRCSgOKx4UIQMkCIkJFgNChaIszIXmn8AA4qInPkfvy4iIne/j1KTqJs8fopTYcB579qhBVsGhQQmeyCa3EJ+IiIaCzG7QOKqA4MfTNZM/1iVAPAfwx3pssFeYo6F2WnGzYfc2YrWx3FGelAcLLtDWWQiWDqDiAYaYzZD/ezd3zJt7SnCsvEcCXVqLE9YQrAYcToMxHPo9e2Rez6I3k8Ou+c93qvpX6i+/T9yn4iIRKEb49bI4BN8kD5fM+M9sjVry3bNmHHMULzfA50FERHZO9u2ZbevmLXHB/3Lc2aujnVctuBTFw1EHBHmM0xMb2Pq30rbzOPulqljV8PN+2Bi1sJizcGet6+Z9nt8yK0H7jsa7rrVLVPvQsM9M9TTmzhCRKz9q0YObp2JTX1HB25+lmpmflZ7DsrBXDEpZL5i2lvtu+uO9YtZlOf0GeD5LNVd33doW0PCBr+7uUNERM5aOGrLvq1zwc9nTbPhon4RkUkKdQdXH+Z5fejW1JNax0REZETtdnWutsYO51qomjEOqL6mysBMCBfGPDdjEpDVZzqrc9ceu3Ue6hcR1ztbKRIVqqGZ741Ro3Ad93Os+OSOuntHjw/Ms2hVKM+RGo87VfwUbYmIfOf4ThEROWXO5lyWin6e0LhrupZmt71Lk64nXXjz5s2btyeYTTXp4rQ/+V0JK24nBEJAOut+/euHKoX7cejJKUJwKlnh9BlKXY9I8QEHxU96i1PEuFup8JyUb7yoEessuX9M04Cwt6c78vpR0hrTDc14jrweJWeE6n3kEk0+hDr/ZLZ4esvpUuyhaIkKBfcT3ltCc1tbUU20BddGba2osAFFjOEOUk3oFtUvCn2iekZ7zE71OU++3372z7efbq6nuagdV7r6XndSbJUm6DAa9/DhOjQPc0obOgdpk57juqlvQpR8PL+EE4q2lETCuopYjky5LmFUbCcT5EImtM9Zg8IElLQT5hIkmn9tOIO4w/UcIaJRTNTnVCCoU+qts3IH1ndAyUPdwTytPXsdNyyFPtsEpegnJ1csUaao6LjHO93zjo+rGkyOKKP1MyEC08eiI41iMtR0QW/mpI36DELWK2xqhaw2UhIegOSPHL5hn6mmHgo4HAbVMdmlJCGlJUnQmrbrhsqQnDKldRGplimX2VAaDsMBmkPfa40HVddwke/Vtui7Cc82Y9RnLZZ0MJCDv/PbnnThzZs3b96eOOZ/sLx58+bN21TYVJMunnT6ETme7rD/37trQURE4jWKup8rZrvt7VHB15wKhP5bZRhM/2VoQ+GOu0kR40mqiHHX1ee66+BGh0W8hyEvuMmD3SQ6qRBJVimBDLQ6jq+KOlGxn+qSZyRmidQSE4qiDxXuTAg6rB9GagmaC8Rd0BbHQoEEteGMleNDkt3FeKSxqmOkde5LmBsrjwnCwfduLLohKnzL2YVtzAzBN/NnbIhIXuUA5IR+zx1GN5V40+u4MgiuNiljbLdhDsSXd7sYu9W5BR2EGzeULrrdotIFVBZEXMqRmFQqBl1VMtBstzVSY4CiQavm+vRAA+0TdKiLpcV9175w9uWWKlhsdt1hPcgjtYqD2mZUBWFEqTJgW4NikA3fO6eqDse7DsKfWHUHEprdptTB2Wl3zKh6wsS932tzhiywa86RMzZbZhzVmDE0YxGt/VGJgO2cKots0fMpU7oYjiGezGoaQaFdS1IgAsqGKnU06fmhvlivS6ktqGCw+gVa5XUB1Q1WukDmZq4PaicYq4hIR9+DZt31Ce8LrwvUvTDr5ntF1x5ntkaG6YTaxToLac6OtloivSLR40TmPSxv3rx58zYVNtUe1t3f2SNR5HZsogeG1d3u13+4ZnYH4aiYIJENyRdZ0w8HlvUHyWNT6np40O2a4Vmd9Yabbdmd/885IiKyc4+j1h6r6YEibyL1YDPacJRiHBAndB0094KGUvJpt5Uiwp08rBC0dxqPqDcV0YGy9YRYDnAWZaxCgQN3Si2h/QxL6ssTF8y/xOJ1W8RucbfOh/CgHienmB3bU3cesZ99Vb0F3qGHDyiFfqejbW8+YOj3Ge3s4JXFRLIZqOZfhdOq6KPvNt2Ou7Jp7lnd3GnLquvwcl0bnU3jxbHHuLFq6mFVCcwFnd8LHu9W29SxxVtL3ciu8aH5ppI+6Dq00amR56TPbEAJSLtN46VERMbBoXmPvOw1eNJ8zo+5J2cGz4/5FWv1IpkBhAqknxER6UMdJC4e+HcrhpLPRINY0YWjLfKKtY1cGhIIjBAaUKYMcaymOoSUguf+Wf2OyalFgOEgBeP+wctlggWQgR6tFZvaRuckyJGqigQUfL7FZdtQGBFHcAj4HVFCy/GKWxeREtY2mkWUhsk4QIdWmu7e+qoSXwil6ajeJpMuujMzubGKiFTXotx3ysOZ97C8efPmzdtUmP/B8ubNmzdvU2FTDQn+wNPvkePiYJnDd+4SEQcDiojNfjqZK0IwDAUks8W4HLjCELIVcWfq40XG0Mx1gAFFRJ7yf31VRES+81fPddfBtWZ1ByUHTCiOBOQIhk8CZFFVFz+bEN4C2IYzgyokmHG2Wx3vpEX4TZb/TMTF7eTnQtufpSylocJQlFYA6VQY8QL8lnAakpIMsMGwJL0IQm86Bhr72gOnuSo2q/kxiEimkEa24SDb5QPHRSR/8I0D9O7QQbFNJRWsd0gpRbG5BUqnsL5poI3Td63bsgeOGjIIQ7W7NcVChw7w5zSlA7eLdBycsgGH4Du1jkqYJyOIiMxW3fUHjxnyEaeHwIE/H+53+mZeyggRx7ac8gQOxpmoslg3MCurNoyVgMHpKyaKSyIdiYhIXRUf1vpubnGAz6lJOOWGSD49xXLLKCl0Rm4+2zoeKIKIiKwpsSMlbAxkBiZEgEzAY8RcdYhEsqx1T9LiuNnwOVKpiDiCSIue1WrHQJs8P7gOaiyMNKIvPDc9XT9ldTARpK4pSbi/WHu5tDNaxmtlVscB1RURty54vg/Ome9gzoC9S1VeeB7R1xqpp9xzbMmTLrx58+bN2xPPptrDeuHid+Vg6HYEKzsNqSEhAgNOsjPSDcT2pdJ09y60zO4R+ngiYr2FXIoQaAOyN6PUdSZYwLN68i98zZYdvNJQ4ZnyDVp3ZdH1Bfp5wRKpJoACfNzsWHJeCBQPJnSgvai7J76sZXZooyElDxwV9yxW+2SOPTEzxhyV+37jVSzuchpiG+tmlz4z53ZNvXvNc5k9ze3KMJ7JmMgwc6Z/rMcHQsVwy4x7sUW6eKqrGNBOOptBbgvX9efsPCQiIo3I7SjXRkTWUVtQvbtvxE6fcnfTjK1O9x6qLYiIyDMWHrRlTLWGnTlvPLvvBi704umLq4XrVgetQhtHlGCwd9bM985qt3DfQsXNBfThWKOwrjvZXXU37/d3Td8Xao6Ucmp9Q0REjs46jcBUvSies11VMxcbE/JA9RR+bVTUBVyuufdhLjbr4fDQvV/r+gxGpJE3p3p8Ex0P78bPbBq9wCMjt+N/oGfGc2DmuBtj3axLnk+Mp0YsgPUZJWSRR7Jb54r1+J4z90Ch3UT3+t0JhSeA8k3PpZ+a76JW7N6HBxvmfdhVdc+lrcwkaPCFtICPDM1zmSedv35i3mF+PjOxvt+k/Yfn00/cdyLW2ykN9y7jWSxWXd9nI1NfI97tyrSN3XX3zsO7Xqi7NbV/xqAPR0h3Ev3ndRGFqUy6Q7lbHpl5D8ubN2/evE2F+R8sb968efM2FTbVkOCX18+UI9ku+/+Ay1jc1RkdkurHk4YrOzZU8dDN4pQgU7CIi6HgWCFbR81dB4IFYEARkQOXG0WMg6SSIYGpb7xJSgElgpkgKcRKxGBYEXEM3CdLnKBh96H+wGQKG0fjymw20waL5JqyoxEdwCqxY2PNuf3IfrzVc/OIuKbOirsXAqYBQZJW2YMVcbM8GYYVFUKFbDlOBLFmLO5625F9IiKyRGk2NocGTuRIfByWHz7uYKs1qBLQATVH/sOOrZuxMekCpAK+/l+zPSIiMqaAqb4eeOeUOFSNAKoSK7FbWzhUZ7gMB+M51Qjty1rDQXjrOp7jFQfhrdbMvd0RQekltnvGQFjdMcUMal8YEu0rUeJQw80jUlk82HXjABFgSKSLhs4z4LUKEWWQ8qNDqTKOKlGEU6OA1MDKECAzcAqXtq4lbuN43dS3NSSoT88QNoaUZVwhS14/eC5x6NRYbPsE1YI08mDFzc92EgcTRro6n3VaHyOdbyZ4oH2uq6Hkmh6RYvB8mLwCogqTOGpK2GAyDtpYbbp3eWXNPNPNhiM6tfX94nWBvj6gsLSIyAMb85L0fHoRb968efP2BLPH3MO68sor5VOf+pR8+9vflkajIS94wQvkve99rzz1qU+11wwGA/nN3/xN+fjHPy7D4VAuvPBC+dM//VNZXl5+VG1tjWrSS2m3pxHcCaV9QBlHesM7yUjHriwiHbt6TolgJfJp5qw2YImCBXtC8KwOvM2lJvnOHz8fHXD3oq/saVmSR1S4HmOLSS8xQVB5WKyXtfegMsAKDZbuz9sZNM/RAUhxkOOwF6+zf5f0hUMLXBvF0AKoeDDttovnR2oeUHywKSHE6cIltAbg1SQ0FxP1KHl3C3JIl8pG6o23B25HORlijbi1shGYHfmYNOu2opoOsUgsGVGowkSVWUCJH8bFV5X7OdQ+sWbcWL0JTlyJRKAJeXjQJhzSLhzEGybAHAvMouoT1Rx0caaf4x72UrDrZw95pJ4VJzjCn+gfLQWJAtTr3nk8H6bLwzutEs16rOSeRm1cuHcyyXs3Im59iLiEnf1x8RlMSujt1RLdR5YUBY2fPaEx+qLPjz3BYcn18N55zeBZjNjb1Xt5PFh7m0LrV+ebaegdqem9FbrX/MueZaprdRi6djeDeq5e/juiNTUeR5KOH7nf9Jh7WDfccINccsklctNNN8l1110n4/FYfvzHf1y6XcdyetOb3iSf/exn5ZOf/KTccMMNcvjwYXn5y1/+WHfFmzdv3rw9gewx97C+8IUv5P7/z//8z2X37t1y6623yo/8yI/I5uam/Nmf/Zl87GMfkx/7sR8TEZGPfOQj8rSnPU1uuukmef7zn/9Yd8mbN2/evD0B7HtOutjcNFz/paUlERG59dZbZTweywUXXGCvOfvss2X//v1y4403lv5gDYdDGQ7dwVy7bXj8u5sdSTMHBbRn9SCQ4JYkArzm6kPGzRy1AW4qefjIesoZjAOF5rK2mzrAhGUKFpw+AwQLCwOKyJPfdJOIiNz1Jy41iYXJCMKCEkWCjKQEw9nUIAQRWfHMiOE6PRTukZtu069wWZKvQwhupT4BCuW0ITa7LaeJSIsZfwVoDddXFjOHyvWyMcM3eM4soAHxTiJzzM+Y+JAGqTvgQJ4P/HHgnDu0VhIA3wvjA+/j+uxDWgOIGTu+4Ugp25UcRETGsekrH6pvaf8Wm6bvDOuB6ICYHRGRldCsfVZjAKw0WysezDNsBTWEfglJgW2HklbasYOSUF+FxZh1HTLJpanKx0xwAKGEIUY8AxzWs8IHlD04bgrtgxAi4uCymNoaRqY+Js/AmOyCuWDYamfDoEP9Cql56LpkaMyOtUJpQzTGbIbKjvYMtDpH6hejbSQOEB5ERDYVem7SGgSJok7X1UpULdCXXs1BgiDXzNZc+93IlPGarur6OiJu/VZ03bT4XlVlmW26MqzbDsHCUJrheK3BOJYkKaaBOZF9T0kXaZrKpZdeKueff74885nPFBGRlZUVqVarsrCwkLt2eXlZVlZWSuu58sorZX5+3v63b9++72W3vXnz5s3b49C+px7WJZdcIt/85jfly1/+8v9RPZdffrlcdtll9v/b7bbs27dPbj54QLLYeVjwCMIdbieSaTqHIEfbNv8iml5ERLY0SRoRF5BqJF530zSZN7uBxlF3L5IvcooQaAOygoWlrtMOEZ7VWa93qUksFZ6co0krT1JgEolNC0G7QqSWSKkMzkrUZy9JPUG3eZS4HelnrixFGoMNOnDXeia0jNBuQHMLRm+0VnIdC5Do38mAlqU2i5Qnp8676Px2x5Aa0iEdPGtYQnqKo+euHl4w9ZNuITQWQyLUtOvGS2HPsot0D+z1adqQrZZbe9UHTRmJDMiKUvvDLdfGakfXCHvPtvPk1aiH2FaadVhx7Wc4vK66skm7qKuINb/OfccBN2s46prK+PAbYQfkFa9WVUmG5jtSxCGhMAZ4vBzmEWpf+V4oumR9d+96TXfzUG2hObEEDCYoafqVzSVHvU60jBEPeO/rnOS0JEUI0vewBufGnHnOCSvJ6DPgOQtVU5MTKMIDDKgviY53lcoyEKJ0vBl9X7ncKEJlWj89R1yX8XeD9onnXfTv4w3nneEZHMspAunzodRMaPcYKf3ED5q1tz7vvv/Wq4p20ZzhHXowdnT+bL0qaZ++fB7Gvmc/WK9//evlc5/7nHzpS1+S005zgqV79uyR0WgkGxsbOS9rdXVV9uzZU1pXrVaTWq2Y0dSbN2/evH3/2GMOCWZZJq9//evl05/+tHzxi1+UAwcO5D7/oR/6IalUKnL99dfbsjvuuEPuu+8+Oe+887ZX582bN2/evInI98DDuuSSS+RjH/uY/O3f/q20Wi17LjU/Py+NRkPm5+flNa95jVx22WWytLQkc3Nz8hu/8Rty3nnnPWqGYJoEEkRFaIUzjYpCOlGHBFKLoRMuC3Euq6j+y654zbi1KcXFIFYo5PNcdYUDjj3C35zJVyGXMkUMJmeE/XyKjpQOlANVfOCMpDHikWboOoVFJg2CIlRdgufExj5RttkU11V4MvT64vl8jgiBmLVc7JqezzIqC1WOHCzbyLc3JKHUbFLcbwFWZPIDpjsHbegaiSizLEL6WCllokFC3At7B8ef6Xhzc5GUQDlals/iqvNdpTIQfrQrKdcBuJfgMksk4my3iHWjeYI6CHcz0//DOhJx8YgZNZzgT4KXLAlnUjIeWucpXiJWNoGKCUGwGRYEikgcOQMMRUSHCGQgqtfObYmwM/fTzhlDc5oyJyCobzxA2g5XTYa66bsmBZRNXxj4i6FVse9rEQKWJoLiijBcDrpEdmFOL1wCcSIFENeH+cZYRVwqo5S/7DAFNEbbrrvKvXOUORiPiNd5Fuq4GbIcBiIlGeBPZI/5D9Y111wjIiI/+qM/miv/yEc+Ir/8y78sIiJ//Md/LGEYyite8Ypc4LA3b968efN2InvMf7CyrLgD3271el0+8IEPyAc+8IH/o7YqtYkktCOAl8QH1OMqkgwy6aK4u8bun8kH1jOg/ISzC4aS2SPyAbyOhDOO6I6FU4S4D0tULWiTAc8KlHcRke9cpd6WFbwo6u3xvge7Rj7wx+4oJtLFUD2YjA6j4bXWV0l5QXd+OSKGTgETQNCVmHZNKfpCW1R4Tqx/iKUzXKK+oD3t+yapS2AeIz54FtOpyRY/SO1Ti9JN6K5xzPMIdZJGyc6croMnnS7SOpvT5JM8j02zcNIKkxn0X6IeW0+JdtxZRddyo+QgX1VJeMefNLUvTCxRL4EJI2kM5g15YiA/MDKBZ8q7Ye1fUHP1JSXkCNFkm0HDXYdnNCmpL+kSWoG64Zzyob3tp2sKIR1MasgQhkIeo2AOaB6t80ioAUgM7AXE2icmXSC8JWA6v35eaZCahiqQVCjJ6UifS0jzaFEAfDZDa7Vr5jOcJTKZErxCIk6AfBTQs4hBduF+6jsS0HrD+8DPDChFuubIFECEKi1HJkuUpJVDX3RsWUBhFrPFkIKkFkmaPvxvhu3TI77Smzdv3rx5O4nmf7C8efPmzdtU2FSnFzln332ykjnB3HtGJjNmwqk64OKTu2qRDxahgEvMSJu6xJP5onhoytCPwlUsumsJDpPiQX8uW7G62IizEnEECwsDisiTLzXw4J3/zzmmfoZ+1I3PQTUP8WiziA6+0ZdcDJAKcTZpzgAd0jxm2odgUHIwHro2EoVoAo5jUXgnJeFa1MOwGtqI1sy8r2+6eJtsS2Ou+OBZ+8dpSw6cbTIDL9YovYhmlEVaDhGnQsHKFLW6gTEQuS8isrph7nn6niO27K6GSXNTJyWF5ZbJysrCrFAr2Ow7aBP9b5EKBkRI92gdrBCB66EeISJy97rJatyg9qF4MF93MWkbfTNuVlKAksPhLUqjowoTrDSxZ6ada19EZKCZb5kMA3UDVkNAepHVnptvKHGgTyJOfQGfDUnIdalunt+ImDoPtk2fT19Yt2XH+ppyhBQ0MC8RveB4BiyoDDWPI123Bp60YLIZcwoTqHSwSC3mu1V1872lqVA4w/O97UUREZmvueuSLO87cDoSpMLZQcohxzTubGfTabT2J2a8nHYGWZc5C/GDmn5lZ9PVd7Rr6ts96xRDZivmWdy3sGjLoDKCTNgiIt9ITdhSs+HmEfGSW5SK5lS9h5VKvlk/xacX8ebNmzdvTzybag/r+GBG1iakdAGaKtG7kZCR6cY2RQhH++NQlg7ry+jdkzWz28mRBcCb4MhxrRtJJUVc8kUWLIQ2IKfZAHWdPUB4Vk/5v74qIiJ3UxJI9C866h7naEm9GiZEgKpM81PZUFIKEQ0wnsksdQAU5HnSpdOxZaTmEeoBbTLnPILqqunXaE/x0FXGJd4ea8Vpkshk0dy7d6ltPzu8uVO7xm6xrgHyNlfVi+pQ8Dn065jMAF3BXOoNnT8kPhQRSfVz3oUPNVp/2HPrBzvuftftMoctt6u2ZZp+hHXpBn1zD8TKWPvP6fc5Lw3pIzpbrp+xko9Y/7HTNffU66RLp3NRlr6CPTsR481wUj47BtJkLNPXg7FnifYYhUAKirI0G/D6uA6kvoBXJSKytmW+E2Kasw1NoskeMNKbsD4l0nVwio7jA03qSAkuMcYcrVytTYkRcV2PPA2kWOF7cR3GH9K4kbqFU7hgftJcHUWqO3QS+V7M+/rArRU8v+M9N48bofkc6XlE3No7LKRWAflOChuBx8balt8dKwrAiSiHsaRDYrU9jHkPy5s3b968TYVNtYc1Xx3IqOqw4XZTdwd8VoKAV1YFR4AdeRCg3SYlDEumBWe644/ojATq5rn06LpT46BEm8yRPQirvcc0cG2PqcfaP3hWT6IkkHde+zxttCR4kjeAiMmk4El4UVG/OB6+LsOZBuvXPURSR44stAHD3Bd4VjzGcTH41Xq3edF2YzjrIvoyzsv4TK6lCuB8fpHEpiZOWojdaJ2weOzI2cMBBs9K2Qgk5bPFqn4+CN3uGmcpnMARngOrhm+/vlQtnhTAe+phDaleKGvzjnagXherlmMcnEYdfeLzBqhs85kc+sXJALdfL+LO24Y1Ti4I/UXXvxntV1la+EZsPktq9Lx1B89ttdWD4TNBeDU8F0h2yc8C7XPCxRnte0iLGmrt7G3yeoBh/vhMalTTsy464xtvSwTJnhOU8KOS8zJWcMc4ctkGKsWzO5wLsjI7jOtDe+Ok6NfwegRzvUFeO9YXJ73EOzRHZ3eb9bokqfewvHnz5s3bE8z8D5Y3b968eZsKm2pI8PZjy9JP3OFfddXACKMdDr6BLlxAXud4QV3rDh0U61TkdMWgQ3iMiBigv9NZdNRR3T7WxAKURZHjIIUw/IdI/Yj066ymG8ECoK4DIrMwoIg85de+IiLbiBig2DOxRCPhmeDROGTKevvcBMUgYhBkinGPiEAA7b+MUnRUlJI/rlDf8QdBd9C0477YlAm8j9KyTJsNg5LrS/Th0hk3ntUjZo1USYEgUciW1QvGqls3ahM5QyHQmKBQpIkZ7aDXR+thZYa2pr7h1A7HlDLPqhJIVcEKBamm6xjOqioBkw90jUYEQffaBpJj6Hugnw+GdOCuencgdYg4cgbfC+JJRFAoqPbjcfFrYzyOCmWdnoMJqwrF9XpubvEkUzqs39JnBGJLh573VkPbJ5LEoGfGcQ8d7mMuelUKb9F3qU/jTkvIIb2B+ZyJIBBi6A2o7w8hzhDzc9Q5ZQII5r5dqReuw7hZg3Sic8vPG8SKbo1UNbTPKUF4lnhD6xJ/b1L7EyX+VOsMMZp/h5T+I4yR+NSVJRpe0hk7qHjYjLXvbq3EugbatC56mw1J+4/cb/Ieljdv3rx5mwqbag+rURnLhA46xwhCZbVkaHS5jZXV+UtIyRwH+AF5C1JCKoBqecQqzXovB7za4GBWylYiBKuR2w6GRc+OmQsICrbUdSJYlBExvvuHz9f+sl6i6veRp4PEiHGHqPYN6+q49uHF0C4PmnqJY8e6HtNWCIraLK6OOWOF51IleIQW6EdMs7aBxnyfnudyAj7orYW8awVNPyhpk7wpkHGYUAMSTukum2UNUTdHB2DHTW0kyvRhQkmKRJ3qWUVMTtF6UyYSaf8yJt7oeHncaITL7BzQ84k1PTrv6nFwP2L5xQjkjGLyR/YqkK6ePTZ4AlnM3qOSn+DhRTyhomMkjxreJnmg8FQrpCk6guI6efTQJGRvBvPCzwIEDO6L9YjoGXB7MPa2YJGWlT0DlPEYK9VJoS1cxyEYaH8SlDxbJvnoddy3LC32ybbFWQHC/PMxN0PDtZhsk+n5ztt0twZxmkMWHs68h+XNmzdv3qbC/A+WN2/evHmbCptqSLA7qkpKmnX2AJ91A5F+gJQpKm1152usAqHuaoeT2BXbTJc1duIQHejqdWGPbtC/s0U66G+oO+2CyW0ytZCIA0i+mIvh0kdlFSxYaUMJFoABRUTO/E2jPfidP3JlIE7EXXfveLFI+oBKR9ym1CTqtY8pjgaElpSUM1KNNcvdC1SCoEiQVrgvqSYwZCIGxmnTgbAaw7ZUFCIiIcgUDLEqfDEi8kGKmC+CDm2kPsfYIcVCg+Zb7xmFFLcE4g3BwiATBES6wKejQXFxcQwXdCdTHW8uBQMgGIZbenHuMxGX7mLI5B2FvBNa+xbeIvIDYLIxQUkTpOohOGgCTUi6N0OCSSI1DMM4Nx4RB6mmNBeITAIpZTRmsgBIBdR3hfr6FOuGNBuDkoSdIyaH4DnTvA8xF9SnTmzedSZiZCXJMccx4Ft6LlmRdDFSokhQBneWpBtCG5w2CWPkFCXj0bY6RCRWODFhEomulaQkNUkp7NgjcpqOJ6F0KXjXJ/zOQaxn4O6NNN3OaEiD61RE+kUo9UTmPSxv3rx58zYVNtUe1jN2rchauMP+/93t5eJFSm9OedcMFQomSSAJY50OYNX7mczT4TES0RHl2+70SXnc7tz5vBtFfLCpnl1KZUhrz8kXbR0lOzDsEJlgAc/qyZe5JJCOiOFuhRfHXpJVkCDNQxuoT97PBNR5JlPgAJUO4ZHYkrUbM3VQR44Jaz2wjCjp2AVDBeNYh9xT7G7JE8U4wi23tGfPMCrRO2edsjVUHbpDtzOHqgLTsStQvyCFhA2lq5+6c8OW3R8bRWvWvltoGfWFdtPVNzdjWCHDEmo4K10M9PM5VWtgOn9aovN3rG7mpUokpIl6M6zgjvHOkEI5+twm2jYIFjF5AQsNMx7WhwM5gFUy0PcdM04NHArirKk3hs4ePYN5VSWBGjorPkCZoUuafpjH3S2nMr6muo9ltHUeDzTymqSIgee8RXOBunncVgeRykD8qNJzwThYmX11y4Q2sOqG9Vy0PlbNQDgBq8pvlah5YIWwwj7mHUruIiIbqsU4V5IdYJbnQvtwdIveObUlyl5wX7ZkxtN0/VuaNc+eFfPxbKuhm597o0VJekV9zROZ97C8efPmzdtUmP/B8ubNmzdvU2FTDQne216UduqULmzSPlI0yLZBSiJOjJVJEoDGOA0JSBJhj2IdduohphDpAtBUn3A6hc4aLedi99EHOtgEI4Hzt2EcrOCwvZ+E1pUqWIBgUUbE+O5/cYoYltTA8OgERJBC8xJ2eM60jCLVERMVDlg41/zLRIykVRKfooexSUyDmyDFS/FAG7FrTFYINWJ/vNN1fqujKhDUFtQaxiP3CgwQY0IH6aOhXlejeD9NIXK049KLJH1VSqH4KkBOrDywqek/+BDctk8H85mN8ykKtOJvXh1D7Sf+5Xs53QeIJUwgQH0TFo1GuwQvIfVFUpJSg9UvMKcMydVULLVP8B+eJZKichvbxyDiUsJw39HWMZofqFUwOQSQKsdc4Rk44NKpWTD5YC0yz4xTjgAK5Vg8xB4xLAvIckDz09V1wWoR2+O6tjhmUJ8LE44GSCRLz2JcoogBCJTXPu7l+RkqIYnXSkeffa/rIG2slXWqL9Pvn2HgxrMmzUIbqJvh7dGgIunQky68efPmzdsTzKbaw9rs1fO78RKD9xEQlbK2rjTnOfZIzL8ReQbwhCLK4DzSHV1MNPAJ5P85RUfLVMhUangLAdFyY/XeIvLOJqo0EVMZ0tpDBSOX+qNEwQJ0cSZYwLM6882kiPEHxgOLN2gXPq/1jYo76YBIKZirhJxNaDZGlLkAm8CUrrPhA+QwRdpeQLs81DcyuRpzh8JbodnFldGDuV5Qdnuh2ylafT9S2kjgZRJBB4SOAVHTkVSyV6HknKo3mdQpfcac1sMUdrTB3rP+mcTUrq4R7FCD4qOQkA73x0qVloTrNX3vMeVcP5+wugDUYEYl+1cq6oIYQJ4YuDUJ36tIQo/6MlJK/IQ8wACEH5of1G09GKoDigtM28bufisgXTzQsFkbEX8TDVz03qRCz1a99YyeN+gc7BXDs8qlLYISCEk5YDystThWbb4J9SUd5+c+YCLRAKEIdL2OscdzgedC3lmlVqS1J/2S+hQh6PN8R0VaO2yLv8PWVDdwnnQs8fxoXaAPHI6RbcWS9R/5z5D3sLx58+bN21SY/8Hy5s2bN29TYVMNCaZJKAlBblWFtUYzRJLoFCG3wU51ScntBoQEpQYRB7tlDL+tGOiB04uEfUBjxdQXDJUghorVNCZzqsRBh5MgLgwbrr5MxXQrmvqD48CQIgRCtiJOwSLLZfRVIsYfEBHj/1YiBpEzIM47WiLXHaKcTRKfXVMYrOXKqkdVBWKBYkGOR9onmjTorRLsCNFdJo/EWwqJaVR+jWAwQFlplxQnEKZGaV0QE5eDXUpQRMAwOU4BiB05gc4iDI11w6QdC9HwiTf+zq09YHIELynsmIIMxNeX9QNwM5OLQEYhCAYpXjLaq9q6S7avQU44tyjMarExhiKtcG+xz1kZhDUp9rkM3oJo7ITVKqCiwiLGem8uU/i4mLbDzg93E/0r6TsrbNh6+DJAu6zyjEfLMLctK9aX2jVThIxz19dK+h4U+4S5YmgVay97mDZKJWkxbroV5LTcmi5Zrim+RyleVEJ5VG6T97C8efPmzdtU2FR7WDvmutKLSPMrU5ox7zDUE0mqRdLF4FRHf8fuJGzH24tkQhRseDrSpYNVeDu8JYlLthjQhyNPLFLSRV59Qv9lqrnuLpMGPEa310DyRU4REpXq/KlGIBEs4FmB8i4ictd/NWW8aUU/kzlH2XUUe/Ls5oo7MKTKyNHuQRChHR2IGok7P3dzodfldtLY7RGtfdIo1ltbMJH0nDoBVGoWQ4iUkp7kUjGYumuU2K6v9dQofGK4ZkgPacP1JVS9tZRUBipNc09upw8Hh8pGsbkH6gFlyfs4pUY3MASQhLTb4BXm+qn/cqI+pJlgYoBNs0FzUVfFjB71s6ZadV0iPWDhNJuOIFNTyv5WVBw30/6rNejNKbmJ9POgxzchkgSo1DPU1qaOAzp6IiLj1DyfCmnggdDCNGuk8mCy1GzTrJ9xLSrcy3NW1znNpT/B9wpTubWeoMRRxXPOJZCEbiFrQur1nCLEhSe4e2ua4JHDDlBfleanH5n1U6EykCMmFKqRliT2HOpajWdoTSFxJHl2SJFTIYWPrXEogZTEz5zAvIflzZs3b96mwvwPljdv3rx5mwqbakhwa1iTASlOVI5rhD3BYMjyi5QiIi7+Ktrkw1uFWUiHEXFDIcVhIT0CpwOpH9Y4BCI94CCSI+ERt8TQ2GROs39yOg7tcxARZqCxNEAFcJ+ISKxEjIRJGoDJShQsEGcl4ggWgAFFRM56Y1ERI1GhW07HYZMld10Z4r8y6nvSVFiEYMxQ4+JSiusCPFfpUPS+Pqtw08AOo1MI9lTSB6eBibd0jHWK/6giXQvBJyWH5viTY3Cg6jDgtB0geRDUltaLR9RBCWQKuIyJA0jNEVFcTKaQ8xDwI0F4UD5oUJtQ2mByBogLTALA8xvnsuyOC32CMUQEpQeGssYQkmakVj8f9J2qRdAw0CZDaCACpNQ/9AEEC4bmKnFREQHpKwZ1d122LTWLiEvNwfAj2mVVC7TLBAsoTOTSqtiYIjdwKEiUZe1lSHeoShwxQWPbYb/c+ngItROGCbEuspyyiaYS4TiscbE+ECIS/s6RsHCvzfzN2ZIRnzcqrh+e2zg264znMZuEuRQtD2few/LmzZs3b1NhU+1hNSpjGU3IW9GdPKexSDR9RVIlFYge3JSifACrS4wqoCoTnXTZuGBJ3x0yp0gYydehbvKEQJjgbQISODJNHrT2+qrbsWBsIJGw0oUlfTCz2HpstMvUDR1TyUFdZy5DmSLGfe98gWmrXtw9ct/hlbJHO1EuTEhqIwgBCOi8FaEHk0axDO7P0Q2n32fbJE8j2DRLmr2+rGV2djiAFnHaaSmnPMHzY+q13fkWms3vpDGBVVcfSAIpeXvwTnIUexzME4kiUUo2PBzeDaPdHKMZyQN57aMN3pmrF8c7frtbZ43LEkJEWNIX7PCZHDEZgfRQohfJqiT6iMbkJTBRwvSJvJqk6BFBmYLnLtYx8o4f85OLMEiAZDy055KVaCdaPUdmi2s9nKwRnliVygZ4XUvUS+AlRUSmSJSgVCU9y0EXXhqFmWiFEZWBKDNkDUVN8ZJrH2gJXYdxDLtVui4rXCfaHIf/BHgnUyKAqEeZZtvWWVnExgnMe1jevHnz5m0qzP9gefPmzZu3qbCphgQXGz1JUpeydgOxIPwzjKhuIjpksR7KVlwZiBoQmRVxCBvHYeFAOXevwlsZwRJWcYDVC3CQyxkyQD7geCmtGzCgCBEqICrJbQHaYJc8zf97IoOCRUQpVECwAAwoIrL/in8SEZfJmOvOaBXZ2CzKl4LreDx4HpxWBZAlxzIJiBqAIOgg3c4ZoxN4FnT+i8N6zrJbBvMgLqXLB8UKrzDpoavzzUK8vZpZeyHFrFQQi0KH1nWFJXMH3kkR8oE166PC9ViDMal+DGoaC0NQUqhrGXWIiAANZ3gUMVJJUty/cn2YvxGNJ9Ln0qfUEoBPEb8kItLSezdLMiczvAQIC5/lMg5rHZzF1tbfcM+ijXoJfkQbDNf1pVoom6G5gi1qdt0BpReBmO6E1iOeR70kc/QMZX3G/NWpjFOHiOQzV+PZ8/V4VrM0bhBgeK009R7OtIx7OdMynhmvFcCYo0bxZyKXxVrVb6KmG/esxsVxZm1Agrn4wUZdgsynF/HmzZs3b08wm2oP61hvVrYoZwVSb9R39G0ZDmhHRH8HixI6dSLO02FvYTKvOwJSv1g6wyQbOLpFF+Jsm1JVZLPm3uXdm7bsaNTSC92tNu3BBu1QQfYoIWIE82YHVKGd/AiHorSLGte0f+RZIvkipwiBNmBOwQLpDOg6eFZPvowUMa4+1zRBqVbG83oIThvV0U4lEFAYwQSeENPBkWaAKMUgVGD8iy2Xbm9Dr4MahIjIqKekjAVXBg+mS8kDsS7GlO7CpowgQgQ4PZxIEJ9vDShfCj5jLTZoR9Ih+FBpxnyQbSn2Jd4HJw3c3s+YVF7geeeUQNQGo6L3M6LElSAGcDJL9xmTPYru+mCUTwci4ujkWz1HTIIHwYoLVd1xj0idAxT87YoX3MaIyBTwXvlZYN4ndF2s7wvT6kF8mVDfO7q8WC1iQwlWZR4oe4cYb8oe7aBauAeEnzJiB8bP4QR4LuwJIkVJl8twXY6IYfrH6wjjQCJJEZNIUSRPipnomud3xI6BVD9AUkooTcigWsn1SURkWBaWMA5zYQ0PZ97D8ubNmzdvU2H+B8ubN2/evE2Ffc8hwfe85z1y+eWXyxvf+Ea56qqrRERkMBjIb/7mb8rHP/5xGQ6HcuGFF8qf/umfyvLy8qOqe21tRoLAubWhQnLDPh3KrqvoZZdFVhUOIjJFqjPB8UNQzmBo7ujqvIiI1FZcG0ilEZKWbhoal3n1/kXXP00ZwUQD1M3xX7YOFsTVeJPguBnvhBPGqnfO7QOmm8xQnJFex1mVA6sWQTBhSXwIiBOAAUVEznrDzSKST00SafwTQ6vN+1SNYNn1BeK9AcGymJfKVjFAZLTTQCTzDXeQv37YPIs+QQr1tgobzxOspyoZnJUWsWgBPYtJZK6rtuleEEVYh1jJLT1S/aiuFfd+g1ZNx0oxaTMax1KigDJpVAtlfSVzpNUioSejMsCtwxLR5TErv2hMT0KkITz7XIZpDJvWYKeq8Ttl2a77xfGPSeR5FNf0XnfdUOuJKD5vohBwgjaoS916MQYRfe42KMUM1hb1BcoVKc1PhPRBLDpcN2MM6R3pzGndSXF+OMs35mIjdusMfV2ruLJI13y/WULS0r4QEmtJVVsRfddpu/1OCYxLsHRfIf+Ang/mZ5RrX9dbmx44YrOIkIW1skXX1Y8VjxAG+l3HIt0bs7q+aalUNiJJBw/DDCP7nnpYt9xyi3zwgx+UZz/72bnyN73pTfLZz35WPvnJT8oNN9wghw8flpe//OXfy6548+bNm7cpt++Zh7W1tSUXXXSRfPjDH5Z3vetdtnxzc1P+7M/+TD72sY/Jj/3Yj4mIyEc+8hF52tOeJjfddJM8//nPP1GVBas1RzLO3M4lK4sS18N37J5F3O6Nd1ExvBPaRE3mkTTR/a7PLBhCR493NiW7zETTGCzu6tiyjbVZ7SftUJHDjh6Fo6STJ6S7+WxxVOhn1oeWoCuzlG+mjWv/EuIK2OSL5GFBJSJH+gCHgwgWZalJvvPHpqx6jNKf7NW0JuTlon/JDO14kWqFx4Ydsbp9W0PqPFQO6JDZ7vL4QHtWabeUWgIH7qwbiDnI5QfEvJDOX6C7y3DJ0YJH6umzpxrOILVDUXEh7VG6B13CSFIpIjLR/oWqeBFxOhKQOZhko4fcnGgyS4pJC0HyCXL0d30WlDLHri9OvTFT1IKzYR4zNN+YU2oDaT1Y1xDe7aRPEw5HA2oV9HygtcgqIYneG80Tyaap7wp5P1Ki65iiXUr2GeqaYgJBZdbUzRT7nCqIrVA9xtwzMGU5klRsPI2I2rXaheDfcD91vKw1mej64TowV/w+oN2EktpOlOTC10GTMaQ1CELJJC56XdGMu26oXyisMBTo55NZN09VTa3DczcZNiR9FFIX3zMP65JLLpGXvOQlcsEFF+TKb731VhmPx7nys88+W/bv3y833njj9mpERGQ4HEq73c79582bN2/evr/se+JhffzjH5fbbrtNbrnllsJnKysrUq1WZWFhIVe+vLwsKysrpfVdeeWV8nu/93vfi6568+bNm7cpscf8B+v++++XN77xjXLddddJvV5/+BsegV1++eVy2WWX2f9vt9uyb98+SSahZMRgQFzVJKLDay1jokGZgCvUJUJmHEzybrqISO9+E0tVo0N2dCGhQ2ZROGJjfcYWhcfUteY4LFV1CEuEeHMakXrAHmpmWyZuVPRQn0cF9Y2U4QnEcpGgQvWoxsfMubsB3VGIm4W6EGcl4ggWgAFFRJ78JgMP3vNul5oERBauz8YNUbyWVeWgM9gMmJPCEzNVd8MxjQFKR24yKiAO8DkuVBMoLgewbC52DgobOYXUfB3cT64PB9MMCaYx1F2pDfSrJF4qY7HWQR4eZQjPjoeZG4A4aS7sOqsTtqv1Qu1FhAgdXB9iCwl2tJAYXWanpwRaDUrSbPCc2Zs5DqcKSC7Kj0FcDFkO9oSCLsN1IMMQROWeAYvvZoX2bTU5ZWF9l8bFvjO8BRgvY3KG/plL3YIlStdtF+LNiSOnxfWL51Mmosz9hLBwrk/6N6cAwrRwqo8Ez49xOJBxkuL7wN9JNpaR5mcM2JFVh6qpZMlJJF3ceuutcuTIEfnBH/xBieNY4jiWG264Qa6++mqJ41iWl5dlNBrJxsZG7r7V1VXZs2dPaZ21Wk3m5uZy/3nz5s2bt+8ve8w9rBe96EXyL//yL7myV7/61XL22WfLW9/6Vtm3b59UKhW5/vrr5RWveIWIiNxxxx1y3333yXnnnVdW5QltPKhISLxk6yXNkOZWRXcba+7gkIkDsEBF1nKpMlDfmKjue7qm3p7znOBZMR0bDtPMnKNhb+GgnZ0p3S0GJMOP3U7MNONQCRNIV8Kb6wq8EKoW6UVofkAyiViFYqGYmgQ7L6b4Y/vEChYgYjDBAp7VGb/tziMPvseUxTQ/IFOkVQo36PHE2CvNdeoZdEekHAA6Nh0UBw8Wl3Sg3m5u0wxSw4h3uXpoPeZxm3/SGtOCNSyiSQQCVM6bRfV2Avaw9N+4Q95eiLlwPQThBjtVVt9AJQntcq2HR14+qMq8u8Z4M8qXgj+jrWICPt41J0peKfNeA5oz2y6NZ6xJNAPyAC0lnr1cUM1LPkOSQabGg6iTc2r0eYf0niNsRaifZeo2aU0JWUSgGiN0hhvBHPBXCajzTD7A82NihxK2MgotsN6tTd7K49F6SWMTz8qSpkRsqiKu1xK82BPE+8DhATpe9pxAJos6/N1kPk+o6wgZSjnxaau4LjAvSY8USNqRpIPiujuRPeY/WK1WS575zGfmymZmZmTHjh22/DWveY1cdtllsrS0JHNzc/Ibv/Ebct555z0qhqA3b968efv+spOiJfjHf/zHEoahvOIVr8gFDnvz5s2bN28nsiDLynKpPr6t3W7L/Py8nPYnvytR5qC5WOGB8bLDraJjGvPgQmZsZL2Fw8TBMXGnBC4kCARCrs17SehxdzECH+47l1nFg1wIfrENQBQBKVeMdhvYq3o0zl0j4mAmVgwARMUEE8A7Ic0FyB6sAJA0i1AoGhkvOAgCChb9PRRv0wYs4W498DYDDzI5A/NS3SQYFRmjmVCicMPgLAOtPuW0VfvZHXefItut/oB53oNT3OQBPklpzqAKkjsoVmSC+5QqAsnzg4zV41lXVltXmIWmbNzKcteLUPoTFiUeF9cFnn0C3hLHYYFnwH1SdY7cOsK5d63YVo6gUy153rYtIpFoiptgyB3Vfxhe0r5zWh7UE5UoYjAsi/UalJCQ7Ds14rYUoiLVBrTBzwLvA6ta4H3hNYA1wkcDE13zDE+Whg6hDYLkoFLBSiUx4DyGb/E9sA0SFXGEMU5pZN/bSnFd5EgxUfHZ4u+0ZA3m0ibpO1zp0Pug85PS90rtuMKyVIZ3mVVe8J2VELRZ2QglHQzk7nf9tmxubj4sP8FrCXrz5s2bt6mwqU4v0lwcyJgSxyUacZ2L7NcUIVmXDgR1p8iH/NhhMNt4tGh2VpbAICLxnPHehjuKtPaYCAmJ0r9nT9uyZZ0VTS/CdF8cbK5RGgX9MwzIY9KD5tEe3b7yBlQPUZkdbA9W6QAY42B6+VjHmNvx6w41HBa9H04RAm3AnIKF1s0EC3hWoLyLiHz3D0zZYFdxJ8ljGy5p/1UP8PiS86idGoMrsjtELttlHkytQUn0NGUCH/gGOge51An6rEJKTjeCPuVul8amP6MDpx1qrOoOI3owVlWC1B0gHJFTMtB+VVQdgJMRIqUGp5EYzKgGHlO+obxAa8AqaPC60LrH/WIaEq6vrvOX8gG+/slpJCbqVYTknVU1YSSnNQn1ZeM0IPbdjYouTEX7yZjQWNO0VGfdy2fTYZSoUTAlfoznQu9jrGk9xj1H7qm3DCTB48bccoqQQNOv0Gtrr6tTupBBSxNHstIECD8hxkheJ54jp/5Q6nqlNimU8fdfTdtlWn3ZvXj2MZXh+YwX6LtJ+1Khd2kQmCS6SFUkIhLq2ufULY0ZzKN7HwaNmqR9gpIexryH5c2bN2/epsL8D5Y3b968eZsKm2pIcNCriMQEJ1QQaU7xMSXxNoglmpDwKj4PcySJYpqCCTKilmTZzR3EKizCmUst3shQhXrg3G6gpIhJgwkT2yASistBqoG0RvEfCNfKCd0qhNcpHh4HQ65PD7LpUBiQ4YTKMD8cP4STboYYcZAMGFBE5Mz/+6ZCGauRWNMhTWbMgHY0u/aj45rBmSEihLMFdMgN5YMBq0BgXRAJADFMHKeHOcjBYMhiveVgo3hdyTD0uCctbYMO6xOkexgWn0FC/UO/xlgXHLODLL8tB6VAkLcsBmhC6yLSsTFJIUWMEInfYrQpwZQ2jQtjz1iXNJ4A2XMJfhuATECisqg5R1ZC/wElEYkkQT8ZYlUCw4jej0DHwe9MUEJSsDFhdN24oe88QcWDoJrvk2kQg3VlJTCmrZeyKovCwWlUFBtO8N4wAQZKFyVkLYabpSTmql+N8/0VRwQZ0XdIoLFR40ERDuf4M9w7pntBjEpo8dt4Lnp+PfSV4wK7kcjgkf8MeQ/Lmzdv3rxNhU21hxUcrUlYpx2b0iWb83QY3pst3FdfM7/wHdLPAxGDNzGJJj+MV+mgGDppvKvXxHJCxA7omPFhJ3Z07H1gN5RT2LAJGWnnCW8QO5uo6P3wTh5EiFFTika7Hut50q4stdRidx2IJVmddvCq08gpQqANyAoWoIkzwQKeFTwtEZF73qVKJyWOVqVlKn5y65gtO9jYUTI0JR+QpxGumDIWE8F8cyiAaCaYkMYNmv54ruihy5YjKWCME5LPDPQgPZecU1PV8O7fbtxLNNsSHMazIoeOIyXvsKIEoqhffKUnTUINtB4mHCV17SeVgQqfUYJNlPG6gOcS0vqFhz6hlBapKl2wGgwIOpETg5GJejhhSbofaRcToOL5DIWUbKBaU6bPSe+NpYsTQpB2i4Sjsb6H/Az4fbX3ogv85YDXi7MRYZ7LAAW8+7k51r7HZWUl6iRcb1D83PZ9s/h9gZAWEYcu8DsS2uS3rqx+TL9r5unZ6prnpLKJkpn4GdSPhZIMH7nf5D0sb968efM2FeZ/sLx58+bN21TYVEOCsjxwKRxEJGib4fTahMvERfWEsaKEfMhvYRuCy9IIEMRDi4GEJdH7AbJ/zjlZCRsBT20AJmSIAV48kwlsxmElEwQlYqgcYQ9Ijg/34dpHrCyAmDSKIUOYBEepW4iCICfMKQRIRVzEPkNONuqd5ht/WxhQRM54u1HEuPf3XuDqQyxI28B6/7rhFP1HHT0MJ4gBSOBki6DinQaXCDitAUgAG3TdrKZwYTFWpIwg8VL7LChtRxaB9ECQigqTThiaiqEWUWwjd2gPUVltIylZgjERIkZtEAOK1wmNe4wD75JYwKRFawp9IXgLWYBTIjXZ9BolJAFO74HMyaNZxsYUNueMw0oQQexRbjw2+7QrSjS7sMxRjF0jLlxnxYSJjGMhep53EEU4M7LG4CUchzUpgfVQVJJxmGPsxoCSc0cD+i/i9HLErKBwfaBzxrFP9hkwsUT7kksvApFajs/rFusLrFhtiaA0xSX2JwbbZSKPrackdQxnOu5Vq5L2S/DVE5j3sLx58+bN21TYVHtYSacqYYM8LN2VcnQ+lAxYSxB0cfa6Jko04ENhq39GlNCR/l1ljwgHz+PivSHvZLFbpVB47NITonbiUNaqPIhIBmpygL7TLqpk3wEiRjbjdkKJeqMBRZrjuoScUmiHTRquzKY2oJ0a5qqMbpvrC5orOWTmMnhWp//OP9myg7+vHpjuzuardEJfUp/18Ijyna6rAgqlS4n0WTHRoIxAgFQrCT1beKgJeU5xB3R+6pQ+IqbJjzW0oEynkT1kHG4nSGvCu+ZxkdQQqwIJH9ZbZnguFEHrJd03aARGTLAAEYG7OUSKECrUfkXdEq80pPr0vclpCWZYj/Q+4HN0jx03S/qgeQe5KHTvT2VDvYUS7cikyvRuKViipI9cwtcS8oYlYDzclh+pY8jjL9MwxDiRkiWk9rOydQ6NQiZQlWhB2hRJHJYxwWe0fvrFNY3vhqhEhzAhFAK09pA8b7wvAX1fJEr+yYj+XumENnXQIzHvYXnz5s2bt6kw/4PlzZs3b96mwqYaEgyaExcuL87tDzglgnqkDIHATc0dtiKIvxi2lVMvgLBkDlJRuG6SMtyhnzFeVpKd1QU4uSJAlgxZQMQWEem5bKVAb0qyvnKEu9iMra4o3sLBsysba3waky4EqhZ1xvwAg7EiB+4hIkS3CHGWQYcgWFgYUEQO/JYhYtz15z8kIiLdiVOXwHMOq0x+0H/T4lxwxtYsKqp02Ay5JUoXucN6jY3iuUCcVi5Vhd47ocGijRyMCkiQlUUA56HPvGRKBH6xHhkiskuLDtdTZKfOLcvimi5TbXBzQPAfDuZzKX8xZ0UyQw6Fg9AEk1ygVqN15OBCfc8A04qITFAJPR8LlRJsnsYgXRTVL7Lc3Go/GbZH3dyXuDg/D2n8naTBVlmtDD83/+RiG0tSjtjswjSepKxPmE9W0omL9SVpUS0HU8u9BMTI9yLOL5fKCP0itpC9h8XJa4GkjyLDlfewvHnz5s3bVNhUe1ivfc6X5WCwz/7///yXp4mISPW7xBY41bhdCalaWHUJOjxOVasuPEopFnQ3MTrTKWdk29N8iEi4aaYxOcUxO4KOqWe45cT87E6JdzHahclsyS6DdQ3XTH3JorbLzhwYzTzEBN5ccTc82knNNzT9Cu0eQ03lkaMU666IPbvRToTbB4Xr+CB1cpr2edPNLbQBoWAh4qjrvFuGZ3XWL98qIiJ3Xvs8+1llHZHzrnmrWLLq5v35531bRESWqk6HsKOSFA/2XMK4hZp5zqu9li2bqZj+LdXcvfd1lkRE5Nxd99iyG48cEBGRRuzWxf7ZdXP91qItO3POKHWs9F0bqbpCu+ouFc393QURETl9ds30reLWIPreih0B5V83TTLLuYor21K68SmNTarX9OXUpitbqPTMZ33XT9gMxTss19oiIjIk2YZY02E8OHDziPHwfO+uGhmRw8MFW9ZPzHpgr7ke5VNNRESrP7W+ISIiG2Mn3/JAz9R35uxRW/bgYN70g9xIoB/zND/rI/M9UY2c37enbsZ4uD9vyw7MHDd9IV9jS1MZTWjxhfrC1EjeYajyFzuq7tl+t7tLRPLzgzmtBEWvq63PcS523y8bY9N3PBNzXUPbdxDKXNzPfSYicmRoYKR9jXVbhmeP8Zu+mHnBfJrxmnncS2vqptUzRERkoe7WKNYtnrGIyH5tL6Xvi69vnCaT7lDuLYy63LyH5c2bN2/epsKm2sN6/eI98u3qd+3//8tes8s8UnG7vaecdqRwH85K1vpup7aou4NDi243IZoI7gf332+L2iOzu60S9/neDbM7eepO19bXHjjN1Nvq2bKtgdkpNWvkVaia+6nzbscyTEy7mwPHNV/fNIkL9y6ZHRAfgSDRWoV2imM9ZznWcQkPkQButu52ajW9J6Cd7OgUc+/RDTrQ0/p4PPMNs1vdGjpvZqZqxtYduV0zFNY5+SLKWBsQQcFMXcfuG57VU37tK/azu/7iB03f6Xxgx6LZyR475jyYX9htzsGeWjluyzZ153socc/71Mg8g68Pnde+KzbzvSN0u+Fb588QEZGXz95uy55SXxERkVbkdplPqZj1sLLDrcfTY7PLvHuyZMsGqRnjPurf4YmuKa2jTjvv4kmSyLdaxm1eCN3zSfSKXVR2/8SMd3fkdvxN3ZEfnrToXg14JTf7qRUzFwM+6tKF2CGhxpVEd/Cx263v0rPNo6m7eUPH3aOMoq2QwhaoHyIiZ2iG1PsnbtfeSc078uSKa+sB9SY2Uvd+t8K+/uvevbvHZs6WaC5O1b/vn7hn9nT1DgcEYYxLAJGBelvz9N2wqfOyRGV3t0y/9kbuufT03q5y8ReonyvJTK5vIiLfHZv1cXbVeUlr6s00ycNq6XvdIa8GY+PnU9ZGTW/5Z4Jk6oHxHp8Uu++rM+vPEBH3roiI/GD9ARFxz1hEZJ/GFkV0PviPM3ul10nkenlk5j0sb968efM2FeZ/sLx58+bN21RYkGWPglP4OLF2uy3z8/Py1n96sTwYOW25f/yXs0VEpH7IQQaD/cjWyLRb/Ycp36qMEB5xLqxVCCCdMpscku61CgF7HZyRbLp6YDbRIlPD1WUPSZECxA6mf2aIlMcwmLgBljMlX8tqJVpeqC+nviGFMhA82Cz9e57mAhpjRJu285ILGSjSsAHjVRqkAQdtwJLr4gfNZ5O9Ds486+LbRETk4JWOBm9JF0Txf/a53xGRPKkBh8EblH9loWogmnvaLm3JUt2UVSP3fI4oKeMHdjxgy247ZmDEkKDV/S1z8Hw/kS6e1DKwX2fiYLCtcU3bd3Di0YGB1U6b2RARkQaREdD3pYqDKUG6mK24+RnpQT7GJSKyqiSTxbora+lhPtoUEYkVwmrGDprapcSBPsE8sR7MrxDpIlb4kscDgsiRoYMdOzruCcGJ9ThPumA7vblWqOP40EBZ+5sOGgOpIC2RiGAovz0GvO+eLdYI6hUROa25UaiPiScwPBd+VhgbiC0ijuDABJDtfeV1BFic68X6WaRni/ZrNMaK/j2mOQbZZAcRiVb7c4WyGV0XTEDBePYSaee2o+b4Y77mxoN1203cWtmpJBMmpXxj41SZdIfypZ/6U9nc3JS5ObeOysx7WN68efPmbSpsqkkXs9EwtzuyngYVhargnguIU9p0RpqDEVSNOd8ZtOBqpMd3uKn3FgOR80HC+hntnOyun4ICcYKeDrlh7RMHfCL1PHZenJIcdPlKiedEng7Ul4OI6u2qN0Vt2QSB9aIX12i6HTdSprP6MjTjwoabMzs2np4yv74kWBVBwegTEyzgWR24/EZbduefGnJGSEHc2DUz3Zd39TDsYKPQjRueFe+GjwZmB1+hyO6RklLqsWuDKdkweC4xkSiwm45pZ5wLQpc8hR1ezSLt2m0/aOePNTNLXtIRbYvfG+z+hzQn6Dvv6ue0Dwl57U0lB7SIcj1W6nODiANLsdldd8mzhOcQ0lyARg9voUXz3tJMj8OKG+P6sJkbg4jIYfUWyrxNrm+k42Wva1aJAZ3QEZ52VrZ0XG5+NpXYweuopqEHvC4SDVCfpfnBXIFyLuLo7/A+hqlDOVJlttTIy4fx8+H1vb2sL+QV6/qeJYHVjq6RGeon6o75fdC54vUYlJC+cC97og19ttzPSphIwOKdD2Pew/LmzZs3b1Nh/gfLmzdv3rxNhU016WLfB98pQewOzWMlC0xmKQmZKj1UN4sHsKz7poHrUt1w10FTDykMREQGe407W3+QEv/VoX9G9Wkys2zG9SVaLyKwuC7eojQpJR6yTQyojSQ0xmirCG/B62atvHBUnAOrtNEg7b9OSWoAaOoR7FhpmwlkDTG0kRsDNMk4wWSxyzY1CAf7A4UBmWLHWS5W6fhdhhyRkjLGU37dxGndeY1TxChTGEECPJ4TwMZhSXJF1myD/uJ4yUEbsSaC5LQvSNuRU1SpF5NEWi1BflaagiLF2qIxliXqCztF1Q/MI0O7aJfbwhiDkvWR08xDH5jIo1B6wJA2xlN2L0PZWF9Jybos0cWzc0DXg/CEZJkiIiH0NhkOT0pg85J2sUY4KWs6h5eJX3CIPdLNNo0OtYEvBe4LnkGlpH8lyWJt8klOKVRyDBCUjQdJRmnew1GR/IV1UXYMwOQ0DI2vqx438038CqcJycQxJHWkeYzakaSDgdz722/3pAtv3rx58/bEsakmXfzSs2+SQ+Fe+///+J2zREQkIh25dIc5/BuRgEWmu2vekYSL5kBwWHH32h3iPncQiQkb0C4KXly8kzQHN/TQljdbIDMsEHUXu51T3CFmqLuxyZY7eLXpvEFX5ySVSonPiNae6M4mpMRxY2j/Mau+Udz1jOpKnOgSTR5/LriD9ME85MBpZ1ciQO0aoz9tumxS2da+cvJFaBxCG5AVLJBMjgkW8Kye8jqniDHzJaPdtn/GUZ9x+A+Kr4ijcH9300X2z6qW4I66o/s+sLUgIiLPXjpsy76xZtZhjUgXoPayXuHuhlFNaFO7fVVumK+59QNFFWiysUUlxInbVSVkhogG0LnbVXN0/tWBmT/WHFxSavR9vaKWIFPiQWtPaJ8L0kGbyBTHlB6/j+Yb9x4aLNgyUK1BL+e+gg7N5JRT6oZKvTZylHOM50mzTjHlmNLae6RRyPR8GGj8TMTYo8+HtR7PahmdQiYQdLTPeaJMkcIO3cOd9Azu6pj1yGEWo200eX62oNjniD86RlDuRRxRhfUfQWhhzUPoLy7XO7YM88hlIIXc0Vm2ZXgeZ8w6pON/HX6SiIgsNFz/njx3NNd3Eac/yKSU29b2eS1Bb968efP2xDP/g+XNmzdv3qbCppp08exffrekSw5aaT/LuMIveda/2LJ/vP/JIiLSPebIGYC/ojnnOid945JzMsC6xhyl33B44v4fuU9ERO765mm2bP6MDRER2XzAXbf7gHGZn7PzkC277YhRQ9jqO/hkfkZTWhxecP0DdEbqHE86c9Vc1zaue4vc79Ujpt2ADzhVkaO1QOK7HQNj5GK+dC5qC6TSoYK8vDDi2MxLmhAcdNTUlxEBxCaJzB3yKoFgl5tvwJeVNYYsx3ovEVAU9jvveSZFCIRsRUQ+dPhHRCQPrVx387NFROQHnnO3Lev+iIEnjr3WKWKAcJPUCBZWJJKEHFxSUEpEhySI1Y4r6+8uHsLj89G8a6O2hsNod51NOkmJCRGGE/UV2mUSCwRLCFkeLgaFMjuGCYm2zprrKtT3Slf7OVcSR1gUZcmZRYMZ7i2GA9l7edzjGX0PhyUECxXL5b6XhBlZslRGgqqBfqWVZOrIkYEmjZI2dIlmhNBZ3oRDW+14KVzKjo37mVSKY0Td3D8ggvZe+gxrNBqVxFmygbTEvBJdy7wu7Bro0prW9im8yo4bCRq5D/yMsb55jDYEj4lt1WK742YgyWgg//rh3/KkC2/evHnz9sSxqSZdVLqZDF2WBomUkMCHnrWK2Vp0S+iijYbb8XeVqstKCvWqubdDtG2rgkC021pFSQ+0tUFSOI5EX2qYfiVEcGho/wJWmhiZLXdM5IPFmrm3UzNbSlZRqKoeX0hjHA3N1m/nrCML4NMeRfGnShjhezNVwqjVXPszmhKlO3Tux1Zg6onqpGoxKnpnSAleI93AAcgmTMPWOQ3a5Gloingku+MUIWUKFqAlM8Hif6lntfNDzjtrv+r5IiIydmfCdhc6pu1rpaceDuWTGCypV7rpntm4aQbCu8zGeqplpDupO1TsvEXcLj1gT0P/rG5h20wehHp746arFx4T+ivi0sLzzhxj5F0ujD1G3MvPp6r3sEeC6ypdNxe9neo99+m9GRVDPyKoolB92IXH/TL3SAp9AvGG3QrUh7pMfXAZqT4t4n7C62FPEMsrN270gZ4LchXyfMM7igfFOWMPa1LLu0y1jnMFB/OqyLHlbhi1TAf5edv+sZAO1hkBaVls7s2vXy1rF+e9H9M629JQH1qrCUhaxGupbhXXCp5HlMvNEko4Kq7FE5n3sLx58+bN21SY/8Hy5s2bN29TYVMNCSbVIHfomWpcFWIfRET6gLAoOh/xV8Mhn6xqnQMiASjMw6771shAcqwK0BtVcvWKiIw1NmiN0ldsDuv5PolIrPAbx1Ahij6l+jY1bqevbSUxQRFKkpgQ3gKorzd2EzQem7ElOdKF+Wc4oJgvhQeHQ1eWZUWBX0umGJMyBEgXVAYYasTzrZ/zITjujSg1SKbioZ2JmbtNeuCIO2EBUihYsMgq4B3AgCIic399k4iIrP+yI2JUFdYCxCFC8BJBNjban2A9XJc7SIdgL48RoWslIststg1Ac/S8LbzERIcSlRALw5WpXzBZALAWcy6gTsLqBUWtXRk3i6oo9l5eZji4LxGBYOgO0Cv6x2QKQEmTenEumLBS6WnsUT0q3MtQrE0zxAQH/Zwhr7ElZ7jr8HkmDHkpNMbEDl03DN1ZaIxJCgrzDhZUmYfUdeyz4nDHOP8v972+TqLMs+YCQHQiBH03i/4Kr3PAvNwG1nw2Ziiy2L/qlunDcK4YyxkQeSWNylVvTmTew/LmzZs3b1Nh3xMP69ChQ/LWt75VPv/5z0uv15MnP/nJ8pGPfETOOeccERHJskx+53d+Rz784Q/LxsaGnH/++XLNNdfIWWed9ajaSSv5X2ckPkQCNxGRyVi9JPKIsBsc98mr6JipoA2dDJrm82qn6DkFRDnv98xuHhpzInlyAizRexPajQ7V6wn7tBscaP+IALKidHZ4OkPynJDuIaCDZ3hs3I/xSB/3oLhPyWWzsB5E8QB2TF5SAG+BaegDHMCW7LjJi4RWWzSk61SPL+7R7lI176AWcShxoQOcfNHWq+2yggV2jUywgGe1+OeOiNH5eeOBsecEWjCowCJupzhu8q6+eNA/mjVjBH1aRAQiBOz14J4cbVz/nkAwJXR1TBrQcCzS0Mu8rhwKgcdXktwwLKF8cz+HC3rdhOcHnpNbQLZfTN2HN8NtNEHFp4Gj3aBIOYcXxePGGJl6HWjoBWvb4VkxuQF9H5YwqdljA3U+kaDwObeBdZY4514y9Yy3avSOKAGCvWY8o0SXLTwtHtuAJhRt5cgh6jl195DOqfaPUQN4qDk6P1AQWr/wUPNzi76XfIfQOuvtjAtl6DPrlqaRSPooAqsecw9rfX1dzj//fKlUKvL5z39evvWtb8kf/uEfyuLior3mfe97n1x99dVy7bXXys033ywzMzNy4YUXymAweIiavXnz5s3b97M95h7We9/7Xtm3b5985CMfsWUHDhywf2dZJldddZW8/e1vl5e+9KUiIvKXf/mXsry8LJ/5zGfkla985WPdJW/evHnz9gSwx/wH6+/+7u/kwgsvlJ/92Z+VG264QU499VT59V//dfnVX/1VERE5ePCgrKysyAUXXGDvmZ+fl3PPPVduvPHG0h+s4XAow6E7qWu326bzvUwmBDHEGg+0p962ZVXNFjymdAqBQm4svIp4Hz4Unm2aNvt1BzHO14wXuEr1NevGnx5UXXxTU2O4FipO0HSmavAgQDoiIvOqWNGuO7FNe9BNkOBs3fQFECJiv0RExuPiqeVI46HqdN1AY8gSTrOhbUSk8IFWMyJYVKsaa0bzM4kQeEKwjc5jltBhqw43oNi1TNOViNPalGRWU1UQ5IQ0GAsqDHtqtGk/gzArx7p9U8fGYqeAOzjaHwQLwIAiIq2/MUSMISliIF4pB+FVigfpo5kihAZlBI47wT0MBwXARJiQoPUgtiWgibcED1a/AApHYwQxIMlBgiUSCSVwHTqTP4TPfaT3FONy8LxJg9WOMUdKqRSvc3UXr691lARQce8PYpNCIlWBbBL3CYrV/nFbI62bnw+gV46bAp7JEBrGGxJBCH3nNpJqcRyAfjmuCvAkng/HQ4F4VBY7x+obmGMmh+D4g/uO58zPG3PASDEg4ojmEUmSw6T4vBlurW+am0czYeG6ChFA0kqQi996OHvMIcG7777bnkf9/d//vbzuda+TN7zhDfIXf/EXIiKysrIiIiLLy8u5+5aXl+1n2+3KK6+U+fl5+9++ffse62578+bNm7fHuT3mHlaapnLOOefI7//+74uIyHOf+1z55je/Kddee61cfPHF/1t1Xn755XLZZZfZ/2+327Jv3z4Zzoe53d6kY7Zsd2+59BD9rnFXom5R225M6TuQCI53yJttc6hfo53IkS3jbVW2iNbeMaesFdqJrHfMvd+IT7Vlh48bwkBK25hxUiSFxNrXhDyx4xum3UQPlOuk0jFqK9WevCSkLen0nNcHcoZQQjZLLWbCBkgU5GF1kUSO6OpVTeA4LqFo884z0qPJIR08Y4y8G0QSuZxunl632jMe6NeHbrNyT9skcLTqI+KSL3KKEHisrGCBQ2gmWAxLFDE2f+H5Oh4aos7VuMH14UO6Tg/Q+WA81cP6gE6am0dN/0HSMPdgx402XR3YjY9J+69+DKQPISuhq+sjYA9iqPUw9RlebkSe3UTHwztiS0CZYU+sOD+p1ZGTgnG78FSxHJmI0tup7yjN50SfI+sgAsGob1C9OresQgGFi/zc5v8VERm3tE+0VstIF/Cixg6QseuGiQt1VUAZzhW9DzwrXgvwopjOjzlmkg8YY8xFAiktou8XvHM8bqwH7tOkifZpXeh6GLWK7zeUXURE+kuqdkIoBMbGBKb6eirB+KFyEuXtMfewTjnlFHn605+eK3va054m991nRGP37DF5e1ZXV3PXrK6u2s+2W61Wk7m5udx/3rx58+bt+8se8x+s888/X+64445c2Z133imnn366iBgCxp49e+T666+3n7fbbbn55pvlvPPOE2/evHnz5q3MHnNI8E1vepO84AUvkN///d+Xn/u5n5OvfOUr8qEPfUg+9KEPiYhIEARy6aWXyrve9S4566yz5MCBA/KOd7xD9u7dKy972cseVVu1diqUfFSkYtzPpZrDHZAipF8h3x1QV8iHf+bfjAgJ9VoxQ++uGVP3ZsPR9CMlb3BKAihY7G46VsFaz2Aqk4mDxhpKzugSiWNSkvGlpsQOKE1AmFdEpK9QYMTZe5UIUSHShVWaIJIE5oDvTRQrYNJFXEm0b+7WSROEBMbBtv0rRCKh+U6UdFEhoVvUk4+BMWUzmvl3V+wINUt1Q7qoRm6M92kdyBQsItKD4GuJUChDOoBZAAOKiMz/lSFisEoGDrKZaABokVUBHJTjynBYHZPgKmBChh3RL8BMfAiPmKKKmwo6cKdnNgTBw13n0na4MmhFxzmx2nxbIk6hgGNr+AB9e7t8qA/oilUYEOfDqVuCbfFhLIKLmL0cNKafb7/PjIHIRQ0VJ+b0K/qeRSVpSyrUriVicF9GgNAothDjyIrwG7OVEHdWKSHNjLWs2inCZDm1FWhw0xqMB6rwUXN+SFryDW/FfGneIUCbI4LYNU3kK/08qRbHzddBWJfbgHIQw9FBWp4G5kT2mP9g/fAP/7B8+tOflssvv1yuuOIKOXDggFx11VVy0UUX2Wve8pa3SLfblde+9rWysbEhL3zhC+ULX/iC1Ov1h6jZmzdv3rx9P9v3ROniJ3/yJ+Unf/InT/h5EARyxRVXyBVXXPF/1E4aBzlQM9Qty1LViZ41NUVGjzyYRK8LG5QWA95E1f3cwzsZUnqRmYrZZqZNd11TCRDdpgtxX2iY6+q0pQPVvUs7MJtepF6klbMntNg0fNJ19dKqsbs+Vg8rjJimrztapr+rxzhgZYpYU4nUKfUHPCzaPDsPjxkE+JDF8nRXRrs8HFaHzeJ8M3Ega5h6EtYS1OcBr3lH6LxneFbzlQFdbzq9o+6uO5qAgswenrZfomDBng48K2gPiogcf42BrpkQgEN/9lLgYbBKBQ7BJ06Iwx5qZyUAPXba7IUgyR7Xi10qqyxg257zBDHGksSI3H6lqx51zX1FYAef0PoFHZp311aPb0BkGOhjVoreB3vU2yn7TDkf6bNi4oQlUwyLzzY3P9bzL3rFuZABbZe9FEuQ4VQi8MyZBq59jWge4akykQjjzqlA2ASKRY/VejCEeNg0Nex1ga5OhB54njxnVumCOVpIV0JepPX8OXlpVKT9g4DBHij6Ffby3pRI/j2c1AJJ6Dk9nHktQW/evHnzNhXmf7C8efPmzdtU2FSnFxm1AhEWv90wfjrHYa1tGFZG1GHxSfMvnU/bOKyUDnS7FXOmViWI6oHOgoiIVNZdfd2Gua6y6X7/1zdNu4dqC7Zss2twoFyaDfshCfHqvwxNrW6YOKRU47BCwqPGmxqHxbCiCs1uxC4oY9zTNCg9Dpwyf/eZgNIlrEKtmxTjsGKkEmlT36Ee0C9CP6P1Kl2nkAGrIWifo5xQsSm7r2NSS986f4b97IjGZh0NXOALBIgf2Fpw41HoB5mCRdwaKFOw4MzRIFgABhQR2fFnJk7r2H9yZbiF42ICJaUkdDSbQJmA1pRN0cGHz1rfYBEyIcXPGFKCqgNDblatgtY0IJ3BPMXbaOwTw2qA2riN8SxiFV19o0kJhKXPezxTVGBh2BFzVUY2sbFzTVeHhb8YchsUIUlYfweJxeq8JBU+Q9A2OF5Mx8vxYhbu5WzOVawV6nutmEUbsBuvi0jFX3lubdyZXs9kl8imA+Hri+2PSua77NninSvLes0pWQAvs3IH4ESOKwNhw65V4czNrmy4ANJMPsbMQ4LevHnz5u0JZ1PtYc3fPZbuU932Nd5liAnPW7zHlt27bujn7SXafajSQ23J6fwNa6qIQaSLpYUtERHZrLg29s4aLvGxmSVbtrx7U0REVkld4fRd6yIi8oyFBwv9bg9cfdAX3GrR9kk9l3TReUxP33NERESOdI03UY+Jrr7DPEYmSYxCs2U6deeGLTvaMff2KrmTeRERqTVom6t/h+R1Qctwa+Du7alHFC45QbNUNQw5OVzY1aj33W6+R1u6hSa1kUw9xIRc37Runse5u+4REZGXz95uP7trh5H3qhB/+p6l3SIi8uylw7bsKx0TkA6qrYjzRMpShPCO21K0aW7hWe38oFPEQLoS9pKQSJDdisU7DWOiu9fNIzwMJkcgvUR9w9SRIxVUi94UymYPk5dtSSTu3t5OU9g8Sifux8w/rHEJXTg+rLdUZU75ERbvteNiujoIKPQaDhZU75ITDqrSQqAeTk6ZQpMCjjgpYAiChavXJbOkfupUMYkjsaQLd29Fads8Hnj81Y7rJ+aAr0NfmAgRlnigNtVKCZ0baV14TuCp8vq1YQJrRKqaNdexB5xt6hho/QzVu24cJRJUtcR30VuGC+wRmcLGGq3VeSAjrCJi+hr3XJ/r60UyTFINZHIylS68efPmzZu374X5Hyxv3rx58zYVNtWQ4MaZFUkX3P+PNwzU9g9HnmLL2kcMDBZvuKGGimANAxcMY8Vn6TD8qEJeMyR0e/uKgaHqRx0ssTpnOlElIsYDRw0UOZi4do+tG5LAhOKgjmusVfVBzgGhXSHo467GLtNnzZKckYCtTIr7DpBM7o8XbVnS14y+x1xbqSpJDNccIQIwHGMlvVoxqLu6psKjAcFbvXD7rVLRjM39GXddvG76Ut3kOCjTr5gzPOuB941HDoiIyFPqTtH/tmNGCHdEqUzwnL+xtteW9XcD/qPofIVqylKEMEkCsBuLq2JsgAFFXObirZ9zihg4hGbFh/WnmMoTgh1tvRzvEuNwW2Eevlz/5n7GNvSQVA5szBfHa5k2OqcRrKZtcfsgaqQEL/V3a8wTxeBgfnJlWh8rv1hIjmAjm4G2XiRWgKzA4450zeeULlRpYzTvymrrxRglxK71S7QJeK12dxfhLZAFomExhQmbnWfqs4X/6HLEJeYyTOOd1yxDLC6LOWZBacBqvV3M8NB/OObKZnWm9vU5D+fdO4/4QSZToE8M4+K9YVjPivkuEBlHv7sCUvWxah7bhJKT0SP3m7yH5c2bN2/epsKm2sMKU5GM9bjUW6mxOBj06XjjgI1FTHphemrLx39BBQkPqc0QGnS0PdIyeCsiedWJYhnt9KOi3pulhLKuoapkDEFNJ+2/DB4WJ8fTe2NKvZGpIkZSd42hLZvAko0IKKHey/qCtl5O4Ii/qboMCgEVvs78O8l5M/qsYt5Jmn8bsRl/K3LEDVD7mYCS6bOoURn6kkuTAGUIohvbnSQ9WjwXVrDAPXxoDs9q9hNOEWPyS0rESIoeSS6kAskAOfEetAHH+X7wdXy4Hpck94OXwn0vS9YITch8ChX9g7QW0U/nzYkkqgLDyQVH6iWElFwQ9bG6wvYx6pWmrdG2fojY7XWOoj1BmRTKmDbu7iHPBXNK0xOpB8Gag1atgggb6HNZ0suyRJzskcA743uxztMBPFb3GeaJyzDvPG58T+USM6rnG9O9mJdgVHwfIl4r6BMnn8R15FGDoBOUXJdT7sAUbF+qxaV7QvMeljdv3rx5mwrzP1jevHnz5m0qbKohwUonk4xyOULM9smto7bs3gVDOujRgSmixKstF8I9BpmBIKrWnIGfhjWHCS7PmdisQ62ZwnUdUqvY3TK4yZnzx21Zpu1uENljUa9b6dGjUHWFgMRil1smTQkyFFcJ8mpDzYJOcREPtdByENpW34yjz5lOFU4M666+QGG9mAR2KyoYzAKcg5apL5xx+EkaKwbCB6k67pjamLRASKAD9xZO2t2tgFn3z5q4tqdUjtjP9rfWREQkonHf1zCkmNNmNmzZWuc0EclnRAUhoSyza5YTphXtpyuDgkWFYkxAsAAMKCKy8JeGiMHpSmxqiS0pWB4SNP8irUhOQSMBpFTcb3JairzqhTHEmDFUk8vwvK0vE4J56kpmyKWMUDHkapfbVeJCDrqDlEMxRmk0U1RIsP1jeE0vy6lG6HyGmxQDpPBkRiq0mJcJYbEQfOW5cPFart3wWBGyteQDmuJxVqwPBJG47yY5sTFu7t4EXx1aH8fJDZYQh+XK+juKcwzYr0IpQjBGThuCWDzuJ/rUWKNjAB3j1l73jlY7gGwpDkvXPkO7NmaMlUCqxTaGc6FkJeldTmTew/LmzZs3b1NhU+1hDZYCSUkgIlWdO9YS7HeMyxT1Od2FHnxzxDy8moEr61XNvSSHJcc6qk3Yc1uHbreeq1dEpKPezHeDHbYMWoLjkZv24xuGdh9usSiijod0z9b6ZqD9rjkFH4TuNDwBTZ4PPbWs3XQuI3QIZVDS1oRPqJUIQppfidJTY8o6B73A8Zjq02cQsOagztWI6PfhQHejpDmI3W/cJcUFHdR9W8ZTXtnhXOr7txxlH4bwhAd77jpQnpmWDI+JKd/YrbNqAkghueh8TGlWrI8JFvCskARSROT4r55XaBde14TagG5dX3evTBEPdYxD0kasHy9SubH75zLQ+IdEA7c7fk5Dou0xzbkfFa8D/T2muYV6CNOXMS9MEoC3ldNzpL6a/3d/p1br0ZVVNYklhx2AeMMqJuE8tBFZZUE/I7o46mESCcbByhnRoEhhxzNlggzuHc0WQyrYfQSNHfM5IGUepKIJ6f3Bc2FiCZYjawpi3eRCB+r4l71d8++AVC2siglfZ3UNi947PyuoaeTIPY1ifVmQJ3U8nHkPy5s3b968TYX5Hyxv3rx58zYVNtWQYOv+JIdujTVu6KmtVVv23RkDDw6IBBD09cCS4ocsmWDWnRzOzxkFzt7QncKfurgpIiIHK63CdRurzieea5oT0Kcvur78a2ZEWLcidx1EZVc7FPCSFOGGpmYmHrZMvY2q6+cxhRU5Rgpe9tyMC8DY3NJx1DhIyvxTaXIovB7qU/t1zdw8JDhzMqPXcTwbYsjcrU69gOY7aSpWsEF7plihnBbHjpmyM+eMQuvp8br97EktQ2iJiTVwT92QLnY3Orbs2FrxoBhwBx98Ay5jdQeb7ZVhK4W1IGQr4hQschl1FeoDDCgisuPDhoiBTMYiDhKLhm7c4xlApsUDf/Q9dPwTawxJIp6NiRiAfGZW3JxBwDUPhRYVLCp9kD2ITLGWv14kf6hurxtnhbLeLtNg61BCZaqQoFWA6CEiEo1U/JaIMpacsunqRf8ax4txfxUihyCFCKcmmX1QSS5MWNFqap3iuCYlcCvf2ziW5to34yhUI9W2NtJB3BTHfBXjnGoqipwTDlbYMRfTWUQfbWqf5jG3qJJqcQ1gXvIxaUUyDMgUDPdCyBmCxSJuTedUP1Lx4rfevHnz5u2JZ1PtYU0aYe7QEZpU/ZQ0skDNTooHjJM+6QtqCoyUrhuMtHKOhMc2h1JvdJVgERLpojskj0ltrKSHICjuNoW8owCHwET53twmgsZ1gDASV2m3pa7ncOzGCOJEXmZBd800nomSKFIiTqC9YdeNC7ekveKWLu7wwa/uPPuURHOIHV1WKONDcEzLSt94tHdPXFqXzsTMe0xbT5A52iPnFVs6NO18rQIB7Xyxo+TDdauxRlR36E1yihBoA/LUgrrOBAt4VnN/7YgY7f9oyphwAEIAGAa5ecKSpiUBfbohhSxYtQiOMNBHNSYquaVeD9ib0XFTn3BdRq43iCrslYLizuQI67GxuoL+yR6TVfHQonwdSJBI5JRJ0QMOlLxSpd39cC7vuXEbXAbaf14rMMh9JuK8jrRElYU9HLumWEACc1bMk2qv5/GUrVWsgeE86WiWJLPEvJeFTIxaUaEs1xftH6dIwd+cPgh9ZV1OzEFCxC2kKWHFjmicScJQzsOY97C8efPmzdtUmP/B8ubNmzdvU2FTDQmmlW3ik4oftccOK0kAwxHpwsIMBMO5MledvZeaGCZx/nohwga5/WOF4lYHjpzRV5iQ1SLGcXHPECSI5yD1AG0QpIeIRW21n0lSAjWWGQ9I+8LZiqGSkVPOwFwQNIVYlLQkZQNDWID4csIMOLvls22QMrLidaniLQOCe7fGCsUy3qJ/9imuDFBKDoLR63IKEgoFNo+yIkYx9mhckrIBxtfBmHCAvgAGFBGZ+5iBB3svP7d4L1JRsLBxnP9XRKShSg/DXBqUrHBvCCFXzoSbYTzcTx13WLKmimhZ/iBd38mU5hYwFWdVtpmWWXEBYsw6tpyqhsJQZfDVCfuHohKIsexZuXwg3Hctopsz9Ivqw9gmdC9IHgx7xkquGUfFd98K01IcGI4aGNpFWznxZoyR4vnwLMoyH3MZ5iIfB1f8XivL8Iy/mdDCWYptexAMTvPtZiWEnBOZ97C8efPmzdtU2FR7WPEgy0VJIwXGQoVSUGCHGNPuUXcOrJ9nyRaUUqNWNZ8PKC0Gp+uwZeoJsXzebMNwPOvECa1VTH0jSmpW17JcqpNqsS8tpb8nqt2GukQcrTy3N9L0I3zdQAkoCXt12F2z51RLtMy1X60Vs85NGsbbCRqU3kO9s7Ra3CGiXhFHkMltmZAKhtOQqJbgrrphMOyrOG3Ghap5zkxrBw1+vubWwBH1FoKSHXWO/1JGAtDHxztKq3fH6UqSIv3ckns4tcQQKWtcGTyr5qdutmUbNjVJWqgXXh97eDj4zqcI0etoR5vZ64oH6XxYbw/NiagCTyi30wcphbxsHPSzJwRyRpk2IJMJil4Ce2RFrwL9zIcsKAGmzg9NCn2y46UXx6b2KdnKx/0y147JXFmhDGEO3C4o5KWeqj7nnL5jUkKAqRU9VoyHvVKEmZR56DweRziShzSss1xqFAU9xrP8vYJ26btzUHz/kmrgSRfevHnz5u2JZ/4Hy5s3b968TYVNNSQ4nAsko4P0tGv+556ui9XpbenBfI9+m5E1mMQkIZqaERbQ7yvkRZ7sStuQKKIRxWtpbBInGe70TLtHSBGjNzDXTUYOA9nCTazEMdS+EBzTGZj6Bv1ifBfioFKCPRF3NqA4LKuEQbFmQc/0ZRQTSaFr7knqxbwTKR08g3Qx4XitAQ7GOa5MmyVZkrBfAosAnqS5RXP3dxdEROTwZNF+dnRgFD4mKUF4OnftEYn+YmhMDChRACjLDpsUp9vew0KhZTFcFjqk+BTEP5XVu1GSmqTz84ackYsDKyGMIJ0Dw2v2cirDdRxHM7GxR8V7OdbLzgshOGXCuU4stlgfX2fTuZTUZ2PN6B2AYG+O4KHCygnND2BKCMrm6iuBE5vHHjptB8bLc1amgAIomckMNnaLSVqAmUvi1MApmgzowyI6aueYx2MvzylJFKFYQMq9nXHhHoZWcV3iMilJZQuwbKHZbSK5uM7N2WBBYUyH1kuYZDnC18OZ97C8efPmzdtU2FR7WNVOJiPnwEioOoBPmj1my+5tmR351hYNVQ/3azNuSzlUjyAgvbtZ1eHrVFwOk90tc/h/sOHSV8zOmy3DVtt5KTs1MePe2U1bNlLlCqQeERFZbJp723W3jYHDEBKZYY8mcFzR/2ctweGsaTcgkkSqbc3VncBXmoL+zlHqZryNJs2FeqCVqmu/WTefjyZuHvs1Tb9Cnphl+JPXlahyBusVjpWIkZCaR6D1JDXqX8OM6fRZI1r3VErgyEkaYffW9+SuFxE50t8vIvkkdvCImCwAyndOi01vyenxacqP+oYrmzTNOHJJ7DT5IlKEiLjdP2+vLXU9cfXBs2r9jaG8d1/hKO/Y3ZcRQXKqLKMirR0eHmvQSVCyb9V6WHWExwuzpAI66MeuP3e9VsMeid3N06G7004s9h1eAO/k4UFUO3RdSXhHGaUaHhMTYNA+eynwBEtJNhzaoNWwh2W97L4rs558CSUeXhqvt7JEk5h3ppI7fcyiR8/JH5FklevDXHB9SAg5COgd1Vuax4v6j0zkge4k62MmmtiTFTFGrTCHaDyceQ/Lmzdv3rxNhU21hxWNsjyNWD2DHZBhFqeGvlUhIBbJGkti5OKaqxCUcM5mvqth/u9uUjyvKV18i37+K+rt7Ky6vqzExisbxm7aEQAcUmJECzvTFqwSmc+r2laj4rZ28Kzy6vO6A6StYlCiwg6PMqIDuFp9nLt++9+2DaXdc3ApKPbsYeHMMORDPqWu83mV3RgTrR3PBaEKddpyNzRkoBU7cbKsWvQCLEU4FwyKAMhioC3vfOEl5Xbt+jmfc+Ae9s7gaeSSL1qtvOIunNcyzqzgWc38f47yDho8q2hbL4HPSkqCdW1c7Lbgze2GXXpG2UvRTz43qXbUK6azijJPDO3V2m6dd/eagxD2fEfQONQmeMdv6dikRVemBwjvI+dBqCJ9dYto1jruMno3jxFne42jDoVIasZb4ESLaC9/b0mZeiIxeR/QOkQd7KXVNsycZRR2UOmlheucxiSdbaonXXa2yXOL1zug+mzwOHls8BQxnyKUPYCp7kBaguJcsCfmA4e9efPmzdsT0vwPljdv3rx5mwqbakgwjQNJHH/BwlZj8n9ZVWK75eiUei9TzpO0+Hs+UI26gPJIWHSlyALPWRmsBsguY6E9rTuoEcSXAcYsgW+QIiSnqRfk7jvRvfZyum6idH9WvwByxnMWKOzHiSMdFkBFOqUJPwul8ZdBFQEd9EP1oqPsCAab+ol5FjGH3eu9UYm+IMN6gF4mBG0AXmH4BrqBDEOV0crdgTsV4WCeafqAsKjLVhsw4nnU+rQO1hmEIsbWz7oywFYM1UR6bzRwsxYpdMjElrLUHziE59QogO4YfkPSwJjaQMoLJg6E0NmbdQ/c6tdVirAR4Kpc4kOFjkZEkrDKFCVqFTyfNYUuQ4I/Jw1VZaH2AW0yTAiNy+GiI1UB1uIxYi0BwhMRGS5ExfrC4juCcYNgQQirS+ZJECeULqo5CM/8W2GItVUkU+DVYOgQzyBmDUMlm0yWiqQUhnHHzWLiSEteIeh5UlfSRZeUcSLJv9QPY97D8ubNmzdvU2FT7WEl1WCbgJ75NZ+Pe7ZoRunfG6QbCG+mSrRt7P6Zyl1VogP7JYs1U3fWcLuoVs1sb9cabqswWzXbk4WK60stMnWz11PRk8qoyrRT3cnS2JqxaaMSGU9jpuIOgEGYYBV46ACCrCHipiqM2BXUQEmixDfqurulq2K9J44oMaMSHGIiU6QIyqbgZJtgkoglWcs8l7Tv9kyxag1OKLkgOg1iBe+wlpRcs0hzDMJGlVwdUI858BP18i4TXs+YFM8rbe0vkTMQiJzbmSs9Pou4PtPekHaoSGvPAblWmZxJFCBsgKpMn8Gzmv2kI2Ic+08adEwPDWMbN91rPtKx1TaY9JHf3YuQp8hBvdqnMq+UEwliPEw/B3mDPbbRLIKOha7DvcWEizZYN2aPyPzLZApuFwYvgL0UBBYnVaJt24BlIhXoM2XCiA0ApzWAuZrUKVgfzhSRV+D5BU2aH6sPWTKfFXjFRQ8r90aADEQ6njZRJ32ZjJvFe/EssogIYZZ445pAglAm8kw0iJmzIYRAX5jrZjUHCQGbDSQZFZ/Xicx7WN68efPmbSrM/2B58+bNm7epsMccEkySRH73d39X/uqv/kpWVlZk79698su//Mvy9re/XQJ1S7Msk9/5nd+RD3/4w7KxsSHnn3++XHPNNXLWWWc9urbq+cPWcc/4nLdsnGHLVtaNFEa25tgZgBk6qfNXg75xUyeRE8k6ogoNfH5/+9qyiIhE627qHmgsmLJN5+oePLbD9IlC+6FDOBy6e1dCUzZpu3ZD1eNLmg6CuHvd1IckkL2hu77XNvhSwNCc6gseIwUNtIt5Mg2bCewGbn6SvrkuoJQng5r6+wxn6njHVcICFApg7UZoDg5mXLuBqoJUegQR6RzENI9J3Uz+v26eIiIi32rttJ+hjC3smHtv39hjy4aLqgrQKcY+laV4qB8rwmUMTcX9YqwOUGg+tIbVjxfLAiJnIPkiq0BA88/GPhHRAAQLCwOKyM4PGu3BtVe7smq3COnYOB+Kfenv0IP5XnF+xgRboQ9cH+agTIOOIdMyRQwgufl4qXzsGMcZWe1GVohQXTqGCQHr5VUytD5Cwys6PzxuQF4MMfYV0h0QTGfnkcZjY/tK4jsZpkR7PLaRwmoTheYax0viCen6pCRtiYNTi2k+mC3FCHqxT64MzzaXJmYEWNaVxSXzCHgwR85QkgvPT6WbSTgqvh8nssfcw3rve98r11xzjfzJn/yJ3H777fLe975X3ve+98n73/9+e8373vc+ufrqq+Xaa6+Vm2++WWZmZuTCCy+UwWDwEDV78+bNm7fvZ3vMPax/+qd/kpe+9KXykpe8REREzjjjDPnrv/5r+cpXviIixru66qqr5O1vf7u89KUvFRGRv/zLv5Tl5WX5zGc+I6985SsfcVvhmCjlIjZ9O6s7TIYlQ9SPcwkF7R+0k7WqDe7W3qiibdM2QQkLzEyvK9kjou0JSBEp0eWt0jizsEEnrxARQuvrbBkJhCGNMbNp7ouJGaux2zJZz47V2tUjSgak3Az1C2o/tkQQ2o2qOjx7Yhno6nRADEXtkK5Lte6oT88HVG5OVqi3zFXMZmYhdNvD2Yo5rR/Rdg/U3pmKO8kHmaHMg+DdOq5jJWokn+TwCXgLs4eZvFLc+4HyzN4RPAzs5M3fOHB391o6N7rMSEKjuGbgWS195EZb1v6PRo+QvQ9bf+m4ySPSKWV1BY0iyNOrG8W6bR0lIQsxj9F6BOzFaZ8SfFYkguSej84nSAMizjvhOYbHlCPKwEshAgyMPUsolTAlHq8B+wboO3vPUF9nYgnqDpiYpF3Fs2JKPuaHvT54MPzdhPGUeTo50gXU+eleIAlJhcvy7Yuw7iXR30FWomdQ7SBEhEhVWDccvREGJ1dL8AUveIFcf/31cuedd4qIyD//8z/Ll7/8ZXnxi18sIiIHDx6UlZUVueCCC+w98/Pzcu6558qNN95YWudwOJR2u537z5s3b968fX/ZY+5hve1tb5N2uy1nn322RFEkSZLIu9/9brnoootERGRlxeiNLy8v5+5bXl62n223K6+8Un7v937vse6qN2/evHmbInvMf7A+8YlPyEc/+lH52Mc+Js94xjPk61//ulx66aWyd+9eufjii/+36rz88svlsssus//fbrdl37595nC1RK0ipMJQoaecQgMOsilpok2gWHb+R/jJjMZc9QnuCJB4MKd+Yf6uRw4fQLzSmGKe4hDiqhy9rxAfCciONQ0HYpkqsYOjBlpvQMoUqapVTCh9h4UiGU7U+cnBenpvQu2H0Ymd8ZxKhw4jp1aBqc0ldXyI+nKQgfl3a2LwloRjRxS3yql5AMYokdBgaKws9YaLLQkesgyLhJsA/MWH+oCfcuOJQVJwZU50twiNuENu6rvCMRxDBoIFYEARkbmPmdQkrJKRlUw7ICqGkgAPcmyNnQsOPdLxMowblSiqAPZh4oCtI1eE2Kzi88G7mRNUhYAtzQ/mqkIpPdAGw5lWtJUIKPbeXrGM261smQGPKWYQxwQsJjwJiuPGmCBgK+JgXsCK/BnixLjvgHFz4t8lc4s5Y6UNC9Ox0gbSr+SgPvM3Q31O4JfuBUGGIEbMKT9bCBtHRMSIRCQr6/cJ7DH/wXrzm98sb3vb2+xZ1LOe9Sy599575corr5SLL75Y9uwx7K3V1VU55RTH8lpdXZUf+IEfKK2zVqtJrVYr/cybN2/evH1/2GP+g9Xr9SQM89u4KIok1dPzAwcOyJ49e+T666+3P1Dtdltuvvlmed3rXveo2oqGmXD+tFjVIk5tbNiyudndIiKyvuW2ioF6UzGRLibwcChFB4gTXUp3saNhDv1XSdWi1TDb5U7N5eluqie2q+6Sk6w1TCJIVpWY1evWKQkiPJyAyubrhnSQqJfSqLit1WCoRBDysIa6redEj9BG7JFeIggjtQZdNyl6YkjgOBi5eRxrRD17dqJ9zshjTHWvwSSOiaZnmdDhtiiJIyXCBjzAUxqbIiKyi0gXC1Xz92zs3JV/re8z19XcvB/SHRxTr+EdsQdhD5ypSzalBe2a4dnwzhzkA07UZ68n0gWIGGXJF8O02D+bAJBTyw+Q5p7IJtsO7UWcZwXtQRHngbHeXQUJFympo02b4bLj2F0/H5JjPGmJh8MeQTRMCtfBi6u2S7jZ6pk0jtC6bCDMpCS1xaToOeVSjiiJoUKah3jcTKsOJ5q2g5MR6rjLpDjZw2loUkMmdpSlHKm2kfKjeF2BbCMilT5CHKhP0PQj9Q3oQ3L78PjzxB/zLyd1xL2VjhvQaN6sLyaMYJ553IP5MNcnEfcMKqS1GDWDwr0yeXTpRR7zH6yf+qmfkne/+92yf/9+ecYzniFf+9rX5I/+6I/kV37lV0REJAgCufTSS+Vd73qXnHXWWXLgwAF5xzveIXv37pWXvexlj3V3vHnz5s3bE8Qe8x+s97///fKOd7xDfv3Xf12OHDkie/fulf/0n/6TvPOd77TXvOUtb5Futyuvfe1rZWNjQ174whfKF77wBanXS/il3rx58+bNm3wPfrBarZZcddVVctVVV53wmiAI5IorrpArrrji/6it4WJg4xxERMYaS3Swu8OWIW4p7JLAJWJr+OAfMBgdhvcGVLna6pZRpgiHzsXuds0PLR86dvqm7P7ugi1b72kM1YDgSeAMTHAYqmsfu7KNvrm3o20NSEgW487FNygrpEuKGCOFAhmuE22LvH7JBgq9EGQKQQomr6CfCacXUZUOTqmBw+gJjTHq6gEsXTfWfkX9okLC/d1F8+9k3n622jMZnI8QVgOVkNVBy9U7W4xzsiko6A2wh+uEmAL+SnMEC1PW20lrCnBNLl6qeIAPtYZcFmJdc1mJ0gUO9Zm4gRQho7kipMQGWKaMiLF+sVPEGEO8NOJ5z39myk6cqqdCMUIgcfC9EALmdByY2+F8MdUJxtPb494VwK4Mp9Y2iv0EhMXPFs+e3ynAZJwhub9YhLfGJbFmVWQmzqUmkcK9iA9jeBLiuDWCQvtLIF0U1yrmhJ8PYvdYaPehjGE9tNFddve6uLdK4bqJO+mw7yvHqWFsHAsHNY3BolszNi4u49QtQZ789jDmtQS9efPmzdtU2FSnF6ltZjIi+XooKewmokOtrsSJGunY6a4oJBJAgh1q3e2OajVzL513y0LDiJet0WazoaSLAenx1Srm3oVa35Ydr5jOJkQDr4KeTn2xfxEBpKaKFXUdT5PIFIO+GRuTLrA7Ag1fRGSiKVQmTGHXPUu17uobaz0RaRNiLkYjt2SSSonSBbwUcsWyYcl8N1XpgrQEBalJ6BnAYzm1aUgXuyP3bBfrZhvHqUTuVCIIlDFEnIZghXT+LNkiK+6ec/ThCf4lL0k9guZR54F2TlOvlGjtqGc4T2ERK+aCHB0aB9lj9lLM5yBC8IE7Dsg5RQjuLRlOjmABz2rxL1yQ/uZFxgOrUpI/m4qF+TSbRcIIKM2shlDt6Gej4nNk2jR27rV1Si7YguetdHWmfs/mvRCut1Ki4Zh/3iB4FFOEcJ/gbeVIHIG+IzQ/IGrwc6wqQYW9rsZakagSjYpl8LbQz3hIZIURvDQm5ej6WCuOJxd2kOJfpvjr+ll3781kRqnzJfPN4TpYZ7VNInip58SeKsZWP+6+VyL97mD9xaQaijwK0oX3sLx58+bN21SY/8Hy5s2bN29TYVMNCW6XpVfPXZarTmtwtm5OG7tVd3KYKW5SIeJCWtPMu5T5t6ZwHUOCyDic5uKwDPzUbTp8ck7bPbW+YctWa4YIwIK9dYX6gpjcfSkqV+xsGLwB4rt1ErWF+gUL00JoN6aYL/s5QwYRlAII7tATX64PcwFYUUQk03tDgi7TalFZJNUYlFxmYs3YnNQJW0UcVoPhGPM3Mjc3Cf5rxcWszujTUtWVlcFFZaoSmJfhXPHwmGNHkGFVjlF9CoVOmqwUYP5lCAvZenNZca1SSjGuC4s6p55QL0JESBHCh/VWwYJigEBOAAwoIjL/0ZsKZZiLnDIEiDcEZYFowHFGNvNtidAtzzsgQYbVQDwBOaVaqk7CpAYdN6f5QHoTjg2L0A9KXWPVPGidKwQ72MHMGymYzThMzzaz4rzULlKd8PsQF+HWzPavjMyh6yOnhqP9mC36HDnyjBUTdmUjS0IqmYsSRRt+Zlbgl0kkzfxaFXHv3GCHI3FY4hIR2ya1QJKyd/EE5j0sb968efM2FTbVHtakEeaUClI9HDw8dNTnETwColRD6WJYcUSMrKeEhIHbdfSUaMCHjr2JuYe18ja7ZqsIqraIyLEt420dnZ21Zd2RuXc4dp3uR0hhQv1TujjTzw9vGQo3NAV7VIfV6KPtR6oU9vbAEUEmSt3PmEaqf45ptzXRv1n7D0SRMZEuQF1PuswfVsLGVjGMYNynh6X3xES6SHDgvkXUYyVg3N83tPbDE0dXPzowczskznmgfbqvt2jLQP+uUgJHeAGs/QfCBKdxgHJFKdGgQc8sKeqpbb+e68nrwqlnmfMmivW4z8z1oxbtaHtFRQWUsYIFdt9MIIBnBU9LRGTr50zZhDwI6zHSY6yrLlwWsUei42FBFZtUkcatY6xQX4bqWUHZY2bF8bH7u8z7k6P4j4rPB7t/Th4IT4yVSEBGyXmMms4k55Xrx+y5YDwpeRr1Y+bhD3a6CUIbfQqBaN1vxjTY4b5/MFdpyTcynhWnWrHrLafwoYQnisaxZZzAUccWD0qIHVTfcCEqtAF1jNEcJbPUdcY0fXieVSL8gEbP71zj2EQmY5a+eGjzHpY3b968eZsK8z9Y3rx58+ZtKmyqIcE0zmf3hFVyOQnU+FxPD+YDIgFAeiAjIgbimiZEiIi17ozKcB0rFSDrcVqSz4EJCVYIl1N+gMRAkByuA2GEBXQB18Xka4OwEeUyE594f8IxXO6GE16e/5zn9iG2QFkRZckJ3eK5pNViGSzh1B863rJ0FmX9ZMjNZrvNqRjoupgUoblK180t4CWGyyCIm8vkO0G7rgyEibwQb1C4bnvf+XrESDERpEy5A/CgFbIVUrBoMoZm/gEMKCIy+wkDD7ZfRUQMQH2kFjGcV9iIky+jWnosljjAkKm2O6G+4IAf7xJgQBGXgoNhxTQuzifGmJ8L/TdHgFGi1ZDvLRIAEhsbxcyJLPeZiCMY8LoQnR9ee/2dCm2y0E4Dz/Qh1jJ9hGc/IsJKrn/bjMfoFCwIerfPh+K1SmK48KxyxJKiIJC7ntqwgs5EkBm3InsE8UjMe1jevHnz5m0qbKo9rCzKa7LB5mKnLmGp1CXqDjk6dkkiwzKrIiEjbaKgatFjeqym/2hExVP4Mm8mR2vHjoY8rIp6VJXIbGVD2r5GSjlnZYqxfs5U8gBeGW+utS9MYa9UTd9TUuQA7X0yKe5keSsNrzXnWIL+TnObqk5htsWdKdLuYTPq6kS0zWxqWhGeY3i+C0RrPwTvg/UAdVfIXjF2nlHG3ozuRmtuoWHcuV09DuRptzlBMknSXYuUbMG78Cgs7tYT1YGGDmNGKXsc5d21hX5mTOXG86EUIVZzj5ZgXNIneFZzf+2IGFDJyDm0CAVokdIFFB94vrVfIb2vI72HiRB4HhgPa01iPPR623niZJbOy2Xyjimk6py+YC7NR17DUYRSt5AXiSSIuUSGqI9T1mRBoQx159ajfl5VIZfRbNFz4lAIS+On8eBzfo74frRJG8XNRZ0URjAH/N7Ci4qdaAyhFSXtElpRpn+IZ8tjC1LxtHZv3rx58/bEM/+D5c2bN2/epsKmGhKstlPp73T/X58xENFixWEgVYXQAhJehdtbrVLWXo1xiIl0Ma8KFqsVF9c1g+y2VN+MCtGuEay3WDe4xS4ogYrI7hnj7x8LnCKGzWBcnbNl8PajqmtjzwzUO8x1C3WHi3Q01orJB5Oq8b8h1isiMlGIr8vMAL2nTmK6o4nGS9D8QEQ3JLJHp2rwkMqMuzfVupNZIoBo3Fedshr3NSaMSRchYMIhqWnoHCzXzPifWnEqJrsUP5ljzEKvx2c0RKlSbE2miOFwwd2KZcPpFAINA+KYFagLIAWIiEh/d1GRor5u/u4TLILUEzmlC0EbxZgaCIoyjwjxRXzwDTiTY6QAJVVI0BQpQurUdyyHHHFCYVFOQwLBXGQyNtfpvXRYb9N2rHGQm/mHY4kg3huUwJOACXneoTqSIxro8q6RqC0+5zkDmYH71N8RF9qIdBwhxxQpVBvRGBGPlFPT0Ou4XRAM6CvJfcbQqv4NuKxBsXOA8xjCA7TLqWsAMXL8Gcg1nF14NKtCt4PidbxWoCTU2+1+JgCDN2ge01jjNimezYoIM4lDv3gbxyiz9WIkWcIT8dDmPSxv3rx58zYVNtUeVhbld6lQcticNG0ZtPcyIhDI5MSHfMnEXdcfm+nhlBFQVwhIEWOE02XaKEx0N7FBfemOjUfSH7ltcDs2p8YJeRUyLCZQhOcyUO9nre/qHWs/WVoRVPcJUdlxAMxjBE2+R0QQnIEyEWM0KVJPbSJMnlvcwrtMTS+ScqJH7QOHJYDkEfDJuO6phnrKy3kK+8qc4PGg3qRkL1ZGGWYVE+stkMoEDsOTjA+Pg0J9IFPEjuthD8bZ68KOO6dlqB/niCrblih7U9jB5yjDJQoaqIN3vtuv58/ZOwN1nb0AeFbNT91syzqvNOQMngsctI9axQSX7JHgnpzDv43zlNMoLLkG4xhSW/CEcqofUIugObMKFkR2cWoexRAILgtSkBT4OvWwWNcQtPtxcX7yg9I2SijiI/Wmmsd44EUaulW1KHnePO8gu7C+oK2DSRL668CEEcxP1OcHVfz+s7qTjC4owpFbe5FIVhIScSLzHpY3b968eZsK8z9Y3rx58+ZtKmyqIcEgybYdXOpBJGF4DSUTrJec6zFEBaHZsEYHsIDJyHNeqpnT06y6DbsQBxOIOJHamPoS2tgoIiRoGRMskrQI3Q0YrxGRRqUY38VxWBOob5SkoA14m6KH6zUiWIwV/uN7MRcDEs5FzBMjEHaacziP/pND+oqqElZsl+LZMiW3IE0KoymY2yZjeIgXoyAXdIVhEcT55KA2wHWEflZUCJchndGkCG0AVuJsyWOFYzlGKFyTQn02lQfFI4G4YDPldoqH5gzDYRwcC2PFfDvFtZpTPlAYqk6H9VCwyEGTegtgQBGR1sdNnFbn512ZJU5Q1txwiLl1FSJL8/w9bu1BJBbwW+uQ+wwQI8OeSJXBZAGIAvN1Q80SzcLG9h4mfaiiSbJIIs86zzyPgBbHFGPXutcwdDqnO8FpCA8PFtyiqqsgLMOTWJvIUMxrdWbFzAELztpM2CP63lCiFa9pXMdkF8xLbc3N7VDHGzERQ8krTSJJAG4cLLn5wfuSgz31+VW2aN3Og5yRF20OfMZhb968efP2RLOp9rDSSpDbyOPw//jY0ca3kF6DPIMgKSEBwKsh8sMApAvaoK72DK086Lv6bBt0eNjX9B9rI9cXECYGRLqoqFeU9Dh0HFtu2vEm5vOh9mlT6vYzpAYJyXVCehFOQwJyRsLpRXQuuoGrD0IPTPHvB0peoQkPdQ7SGfKSQBih9Cs2vQilJpEhEu+5ItF7OE1Lov17cGDmvUOe04qWIZGjiEig7bcnbpcLL4HTWGANsJsEGvh4ht0KY7zjhfEOGaQLTkuBtBDxkFQqShQAgBJM3COwHhC8PlYqAB3ZekGSV92AOS1DOvjeKtLqsSPnFCF4LqxggQN+9uzgWbX+xilibPwiqPA0P0ASyOuqK62dxwFDCMJ4lnQQdRyssoBxM3ECaS6Y/s6UcBgo5JxqBV5Mno5t/mVP2Xoi9M71TjFrLpfWRL1CRoJAIWcPEGMbzqlXc5QQD62DvUhcN5khYgvCYVinUrsccdoQ9cSG5EWifSZsYP2UeYf0yskY5Ct6BuhrQp4dXjVeP+NmKEkJSeRE5j0sb968efM2FeZ/sLx58+bN21TYdEOCcVAaLS4PXSShxgUlLGuPjL8Ew41L4rBmKsYXZoKFrZdgsElS3Asg/orFb1PLCHDXWbiq4+C8ztDADclDpAjJpShRNx2wpghBcpTdWKDOQffCQ5+MiLgA0cukCN+wMoVN3TJmKEnrSxgGU5LLsAjLZpxSZFualpXEZXBGqpdxLrDD/HNs4K5DrFePsr7a2BoWTdUyhvUAEzLcEZaktAGkMmpRmapK8ME8DtWrOXjS/MswHWBJwHVQDhBxEBpDY2WxPYDhysgmJMDiiBVZ8W2pkkKDJYLkxGLNPQ4GFFn4f40ixtbPOkUMwG8VelTDeR0bMaIsPKnXRQQ92VizYRFKy82dEk9mjrgHtbXHTFaNsk5X+kWCQ1m8GOpmCA9zy7Aj4u5GBNNFJdmkbWqQ2SIxCXAZQ6GAhTklDMgcZbAwC/e61CD87hXJZCDIMLSKtcJqGrAhZbvGd1edsgsDsuR1nujDDwgmjMaZZJ504c2bN2/enmg21R5WrZ1IQlqCkZIEFitObqCuaT46pPOXzOhhOKcXAc2aNAJbTaNRtxm53Tq0CVOivyO9SJ8cDegQQgNPRORQY15ERLaGjhCwpFqCx2pOSxD07qDhdiytGm01ZZuWYM+c1scxKWOoJ7Zjplco67Gno+NuNl39g77hOcdEtZ/VudjqEdkDOoDklaK+jJIwTpSmzulcEtDPaTcIfUamvaKeJd3q74vdfC5UzRw0iNYOqv2+mXVbdkRON9UTbdxyN6h5JGscl1DDc7prM0haSB6tvkkhPaboIUgcTBZK1avIadDZXWuRLAB6NXsV2BmnRQc45xmgL3wwb9Ni0L2WaEBl0OFjBQtHXScSknpWs590ihiDn3xerp8ilMyRPLtaO++RMDUe6iCchBHGlHPcy0QVPNsyzUNWpsDzDgmbgVRllEtuqNR9Whc2Ow4hMlgj4aQ4jrLnDY8tHNP1iDAgRwTPICpJuMi6gfC2eA1g3eTCImz4BI1Hv4dypBhduOw5DRZMG5w2BJ/zfGMueM4m9TBPfnsY8x6WN2/evHmbCvM/WN68efPmbSpsqiFBkXzGYWTF3U0pKAClHa+7A1gI4TIM1lFViUqNUmpUDY6wTiIT8xWF4ggum6ubetbqFGMSG7yDU1/sqBtYa0w4C7LmhlWC8xCzQvAk7t1+n4hIVWFPVtAYamrXWuTGA+hyVC3iRjWCE4PGqPB5S9OLcN9HsYE2K/UiC2HMbSgBpFpz6hwDLUvpurCucCvHieGZKktgF8VstHRul2Kam4dIL5LLEIwMvXzujQN3Ttuhf5cJhTL0Y8U+6TJALgw5ASLJwXklAqmukXzfREg1gqBThtpsn3SuoiE9W5CBAr5O681l1EXMU5EYUNYXTm0DaAgwoIhI/XNfMWU/5coAYXG7OOh3Sg6snoAxuOuh4MAxdlD74JiiqCSGDPBoTMsXY2NFDqiMcAzZpFGMr4p7ReICnneaU5/Qm0isBtAd4pcYSsN1CYUWpgpnhiVix/n0JvoHXQbSTEjklXGjCEWCNJQTeUa/uD4IRBNUGyuZiusrS0WTzUiOcPZw5j0sb968efM2FTb1HlZIu5ThwPzU3zNwTIy1rknDkXadmwTKda/qtiyZKk3wxqY7MuQDPkhf7UPpwnkGx7WNkNQvkP7j8HDelj3YNfdaZQwRqahXlEsvMkJqELdjWe0ZvvRm35AehjX36Ho9TeDIpIsEShcuX0F/aP6eDEkHTNvYIkIElDNYm3BTt5JjoskHSOVBmodQ2AjISwJ1fURKF1nf/F3ZcmMczaqeGc0jRnRYMy0epd39kaGZky6rWqiqxKHBgmtLq8vJKpYckGNnysn2QB9OS9JNsOYgvLecckcAD0cKxt6epWnT2gNhA0QITlA4UcpzXjdQD7TpfcDOmL0kHKqz1+dIAOwJ6r8swKLeDNcHT4S9D1DXec7gWdU/+xVbNvwFTU2SIw7kPcWy9B0sSgmPhD1WECwi0tmDB5F/ZubfuMsEB62Hx908cULIcURrtV7c/09Ahom5f/qsSLnCklzUE2MNPucpC5XhRhqPelscqgHvMM2lRinS2qHOwZ4l7uEwDni8rGsY2SSnRVJKrl0s8+1hEZ7W7s2bN2/enmjmf7C8efPmzdtU2FRDgt3lSCatYnmbVERtplzyOqGkEBLkFeiBP+NGUIlICXE61lcxW4IHJkjHQbFHEIldH1FmYIXpRgSrIVtxEBbv5ZQjSK+BOvokaos7U1LXQGjLmJQxAPEFBP9lCuexyAFSrQjBJ1DkAMFDRGSoxIl8uhL9h+LeBAewdEINwIPn1sZzMW6jdfc1vcpG6iDOztjc3J24MqiEjCmoyMUe0fxAzaPJEIgUbFLHwbMrA2zDoqA2podhNRxWE4TV21XM5Av4jQU7ALMAPururdJnCsvMMjRWrGN7f83nqgzRoDHq35ylBXDRiMRvaxtF4gJShEDIVsQpWDBcDzgNMKCIyPxfGcHctV9xKhlYPxC/HSzSHNcxBnd5hGzWLIirczck2ArqJawWgbElRPwB6aO2WYxbYnUHqD/wmhmpukNMyhCW2OHCJm2cX0hxS1iu41kQcEiEe9Fc16CMw/0dpiyiZ4Y1mst4rM+i1imSUrbqNGnalWqnKFY7WHJlNV2GnDE7KSlDxmr+3sV8B/Q9NZwP8mLcD2Pew/LmzZs3b1NhU+1hVTuZBE6EQnp64D+i7RZSjuTSXejB7qhHRIyOuScjBQuQBGIiBsBYNxCR2jHtTuCdjRLXF6QGYW8G+oIgIYiIBCPd+XVd2UbfbIPhzaXExQXRISPFiXSgpIuh25mDlILPTIV6kE67nlTLxpxKRD3A0cD1CbvbSb9YXzgg0oWOh7UJkXIkGtCtWg8fvKMeeFE9csmQpDHk03D1sNpj52XDIylLeMgH/titcpI/l9SxqNAAQoYIeWLkVUC1gB3G1iFVi6DdNQ6r+To79bpr5ZQVUCXgQ3jUweQDeHHVNusQmnZrlG7DUqqZGo4UGKQOYg/N6XVA8kVWQ7DagLTQQUbh+YZntfTfbrRl7VcZDwy79uYRN6HDBaT7Yap7cS5QxilFrJYhjWdm1XQqIO+5tmn+LSdxFMkBvC5a95uK+jvcXMwe1gSOS64MGofs7YGUUe0W25g9rAkcSWGksVYkbsDL575jzbOXXVU9xfo6fYfoODIih2DOZh506xxzgHUk4r4HaiVqI/U1Dnkp/tzM3TuWyaSYjPZE5j0sb968efM2Ffaof7C+9KUvyU/91E/J3r17JQgC+cxnPpP7PMsyeec73ymnnHKKNBoNueCCC+Suu+7KXbO2tiYXXXSRzM3NycLCgrzmNa+Rra0t8ebNmzdv3k5kjxoS7Ha78pznPEd+5Vd+RV7+8pcXPn/f+94nV199tfzFX/yFHDhwQN7xjnfIhRdeKN/61rekXjcwzUUXXSQPPvigXHfddTIej+XVr361vPa1r5WPfexjj64zQf7QM1Tx2xapS1SrCllUOO5Eo/Or7E4jg6gU7h3U3b1zNVP3YSqDwka/5spmVf1irupOWxtV4/qy0w+R3PWawzYzhbqCmnPFZ1WxA2lLZqrOjd5qmL85bgoICernezluKlM1jSopfEz0wDeuurK6tsf3TqDswdsenVOkNxFxh+VMLEm1Xc7aK/oMsj73T+ELVWhthW48UBOZiYrKHLtqbgP0APrBagOApiiWCQ9mNMOwGmJRGE7U6+YoBsdG+RfFSFkBoLerhMQBrglNBe4BJMdpLADL8PU4yGc1BLuYM35mevBNBAJAkcMFJqUEuc9EHOzICGyfUrbYvus8Q8hWxJEZcnFW+jFgQBGRub9WIsarDVw4mqfYPW0qqRHcXBLDgzKGXV3f3N8jjWdjCBgwJkN9LiOzuywocrRkuFCcC8wpEyEA7eVT1ijJZEGhQUr/YuMTOa2Kfu9lPEb9mOOhRi2QM5h0oUokS8Wv/5wqS5KvQ4TUSWjeJ3MgNW2LrxIH45o+F4lJveWKJCMOXnxoe9Q/WC9+8YvlxS9+celnWZbJVVddJW9/+9vlpS99qYiI/OVf/qUsLy/LZz7zGXnlK18pt99+u3zhC1+QW265Rc455xwREXn/+98v/+E//Af5gz/4A9m7d++j7ZI3b968efs+sMeUdHHw4EFZWVmRCy64wJbNz8/LueeeKzfeeKO88pWvlBtvvFEWFhbsj5WIyAUXXCBhGMrNN98sP/MzP1OodzgcynDoTlXbbaMVmFSDvBYcIux5R1lCawf1OQzJwyJvy15X+ENka2S2sAEnHlTLUbnRPtGrQQ1PiOAwmOgjIM/FtkdNgNY+UZp6d+RcSxAmuF5Q00dlCRdp0kBrH5H6RRQX58LS2skTS9SLCskTTPoggNBODR4TJ2aE50LnrQl237nLHj4KHpR3EbEJKbu0lQaVO+6zThrq5+eoHkRJk6yIAWZ9QIoY2I2ys8c7XVtPiTcFjhCrOtg0F5Ya764HOQJEDxGnlsFKG3ZHHhR3vkwgQHoITowIb4KTTzIBA2bTUhBZAGMrS1rIhnvY64FntfQRQ8Rg78u1Sf+DtczfA2mRZAOyBXsGTI6AgYDCaTag9sFrpaLKHuwt9JWCz+QDUOFzpBn12HLzvc0ZrhCZAs+5Quu3rySOoGSNCa0B+7zZI9IwBk4ng7VXzRFL9PkQQgC6P8+jTXhKz6BMHxPfu/xeDLd9hz+cPaaki5WVFRERWV5ezpUvLy/bz1ZWVmT37t25z+M4lqWlJXvNdrvyyitlfn7e/rdv377HstvevHnz5m0KbCpo7Zdffrlcdtll9v/b7bbs27dP4kEmCStmA8OlbeZM3Wx5+2GTLjT/sEci0PKrFL0L9gKW6iZC8wEKEg50Sx7Quc1APSBWS4duIG/qK/Dy2KvRM6SMvK6hemLwtOoUwNvBmRydYY3GSlen7QsSOGasPK7nSnHFzdloqFR7CjpGPeyJYUeV00HUMqa1lxq6WnRwtu2WdaemY0ykuB1rVQaFspgOWninbZsKimdTuCWnwK27Wt4pjpuqtTgq2SGXjIfPlUD5zqm623MDOiezeL/5/0pO7y7fXx7HpF48b2gQNby3xzxbpkNXdTc8s+JQjP6uqo6RvTNzD58Ftg4pRZtSulttOdIXDO25G70j6pEwdR1nVvCscKYlItJ9xblaf5HWzmcv1oPhxJV6xlel65DSPSLPJe4V1exL6ewleolz95nvmuGie0dmVpSSTrT/2UO4jsJq9MureUzPy2ieZlZNHROiwdc0VCGHGtjElcV3JN2u3yci1U1CS6B636GMDzoODqKuqqYl9wXrMaKAaRuOseHaGDeLkfmN44lMxo/8DOsx9bD27NkjIiKrq6u58tXVVfvZnj175MiRI7nPJ5OJrK2t2Wu2W61Wk7m5udx/3rx58+bt+8se0x+sAwcOyJ49e+T666+3Ze12W26++WY57zyDTZ933nmysbEht956q73mi1/8oqRpKueee+5j2R1v3rx58/YEskcNCW5tbcl3vvMd+/8HDx6Ur3/967K0tCT79++XSy+9VN71rnfJWWedZWnte/fulZe97GUiIvK0pz1NfuInfkJ+9Vd/Va699loZj8fy+te/Xl75ylc+aoZgZSsVztxQ18SD+2trtuyr8X4REQmalMBRU4nU65RQUGEyTpq42DSU9MPxgi3bUTMn7Uwq2DFjYMJuxQkbLrcML/XM5lFbtj40sCQnu5utmhEwTJgpAYRp4IAiI4UEGzHT2nNcZhERSZRsgiSUIk5VIyT4EQSLmFKTVPTvCUGmM5rAkQkbXaW1R0S6ACybEjwaqK5YhSDLpKH3tJk3rfpsFB4A5ZFT6xsiInIGJa48vWmec4vkMjB3p9Q3bdkdePQM84yL9GUclvd2FqP4WbcPh9CcAsLqFDLLuAQ2ipTCy9AdFA/4IBt6fFgqOa08JCMkeAvEiRy5AZBkw80xdOTGRIcG5AUYUMSl4+CwEegVsoGinUs5YtO5EBwNkgtBXQh3YOpzto0HARhQRGTm/7tZRES2fo6IGDpGHrcjsbgyp7PnykCw4GcB2JPHAzgtB3GW0Ol7u80gGaoFFJgLBdhdLdQR61qCZmRt03UUKhlMesEaDOk9czC3a2tSoo+JV5jToeA9mMwQtItUIkxrT4o+DtrjEJX6miq6UFgC5p6JKqNWKMn4kftNj/oH66tf/ar8+3//7+3/42zp4osvlj//8z+Xt7zlLdLtduW1r32tbGxsyAtf+EL5whe+YGOwREQ++tGPyutf/3p50YteJGEYyite8Qq5+uqrH21XvHnz5s3b95E96h+sH/3RH5UsK+4uYEEQyBVXXCFXXHHFCa9ZWlp69EHCJTaaC3PUzKGSBdYmM7bMHmdPir/iORq4Hu6nREhY7zUK9wyxfSMvCdT0jDyijtLfj4yc1wV18S3S97MK5nzSb8kRrmikA0UCRw6eHEMtngkWOg4koRQhVXkK3kSQ8KRSpPimdF1PvbNRiR5gSjukQD22gOYb2oi5ZQOV+BKldyavYOe3MTbe6f20ZUQCx2GFlrGOe23k1oAdD0seagAtJ7tLK8U+4brcwbt+zkns7HVECLABp+TZIZiVD8FtgDEdlmM5oF6KhZeR7q7L0tczRdwmZqQB4U+mKtu08CXUcFYZR/Ayews4wGcPEHTtXBtYy+R1oS+848a6BnWd5xOe1ewnHBFj/WJz1MD6eZYEQPALPEs8Y7YceaUk6BieDQf64m/2zqpKjOFQAPSfn63GwOf6PJwzD84mpCRvBaQvnk/UO+EgahBvKBjeerkEwgAtCBN+FggzYXJRkZKP5zim4HrU11gralbmiEkRxv2/fxLltQS9efPmzdtUmP/B8ubNmzdvU2FTEYd1IguybUoJmvrivv6iLTuyZijwSB8i4tJdjGp0IgmFBsI2RnVzmsixKN/d3CEiIpV1d93anIGf4o6DiNoK3T3QW7BlR7fMdVZ9Q1wMl7RdX3DQn8w6F/vBthlHX2HPhGKkBj09xCUliVTnYkjJIseaLiXjuCm9ZRhUCvcGJTFpCfUd85hQepFMsz5GPYIEtZpxl6DQLY3ebxPMovFNcZcgS91TYR47qTsLPT408wkyi4hItGWuXx04KBZxUJwSpkwXD9AHQxZQF2CIKEI6ECIQVLagruDqAzmi2nZlaC8uiQ1jWC3oIQ4LbRXrYPgP0B0TMQAb8b21DVTiyjA2hm9sTI+bbtsG1wc4qOxeNswpKzjY5IusqQdIKit+hrUKGFBEZPEvjCLGxi+6Mht/RbcipQYbICp+Zkj6yFDkEIkZh8W55TKoWjC6b8k6JXArq5KECjtCe7BxvJgahWOuQBgpm/c8AaW4zhFXNakV34cyaHVAa7+m88iQNrQYeV3gXcqRV+JizFw4ySQteRdOZN7D8ubNmzdvU2FT7WGJ5GmwlaahPD9lxgUmf3dpp4iIHCavApp19VlHkR4G6qVU3bZnqWUo7EcaTkn9rAVDU1/Z6by4XXOG73u05U42d7eMWviBmeO2rKdJCNf6ziPYPWOu21xyJAGkjOZU9qcvrIuIyLG+uW6h7k7D71FvKyJtxH5YzfVDROSYbv22Ardthoc303Qn1IO60t+pvlbDfL41cGPsNsx10TwJ6EEvkXeU6tlUab5HSlAZCnm5c2P9jJal0tTPnDXz/uSKc1f2N82cLBDf+p9bJozhSbPHbNmh4IB2hA+A9dCcDshD6CrOMfmhSKbATjHnaczjOlcW6k6W60OCwLTIccntlhPl+0C1m3fIIEewyjj6xPT72O646SBdD8srpP0HryyXel77wqSUmqocDCmRIDwm9oSwS2c9Pqd/yDtubYtjU2BwTHK78Xz9Is6zWvh/i0kguU9oq7ZJxAAkqWQ2UIDrORQhK4wHJAr2ip2HTt4HCBslhBpmIcEbj1V3kwkwLsFnWegAdd1S/Mu8LlJ0sTqV7l4QLNgDRrt5skmxDazviPRV8Uqyt4m+chuDhch+3z0S8x6WN2/evHmbCvM/WN68efPmbSpsqiHBZNvh7mRg/NVvdU6xZZZ0QaQGSwKok0KDxhKxe7peVWWKgWvn22tGiT4+7urbbBn8JqLEg2tdjRuqO+hwtWOIAL0Bpb4AhMb9Uwgtm3X9AxS4tmXqbRM012sbiC8gBYtUIdA1iiVDu5MePXaFwTbHRJxAGgBSsGjjEJxiszDetEn3DjSyf1hUixiTcG7QVTHfHsVzNExZZYPim/Rw+cHBvIiIPDBx4zkyNFDt4b7Tlgx75t5jQwfjQlg0l25CYQmO3Af0k0sqqcYxMLZePsheL5IuALtxfB4groAIGyATMIkDsT+4nuEttMvQE2AePqwvgy7L4DccoPN4XPoVV4Y4LBYChgoCxFhFnNAsw2qIDeL0K+hLGekCxASG0qyCRUlSyYdKAini4NMyYdiycTOZC/PMxBuspbBkLnJleg8TLLDkWO8aBAhAugw/DpCihMqyZvHZ2vFQ33PZYrf1iePfgpLElfiUxZvDEp1aKzRDUwuxY47XsjAzxY4FWXk6nxOZ97C8efPmzdtU2FR7WLwzEnEexlLVHcLPzpif/42282qCXtGbCvTvjIgOoe6M+Ux276w59D9W32HLqqq9xyoZSMeB1O4iIrFq6VUp9XwcIfMfc2G1X+SlQGkCmn+tutsq96pmC1ShFCEDVaRIif5ulT3ISwrUy4ypT6kmfUxI1SLUvk9Y6UL/zaifSM8SdkldARdSu/A6WNXCehq8KvW6VFvbSB1hBXM8W3FzgecHgotIuZIEkuLlqeH6zDboMFxTi7P3099R3KHCA2PtvSwy17HyQeO4HuBvFbeqTKcftfKeAKfKYEoxDGMEBVvEJS3MeRA6t0y6gCfEigaOTFAMT+B5RL/gfYmIzByZ6HWssAEPi0gPSiGvrxcp3PBgeNzwJnJeIkgS5KVtTwIpIrJ50fML9VmSC09nadqZ4nzbFPA031Z9ol6cH/bQkdaEVSpgFU0KmlPQ6BSJLSCPsBcLHcQxPQsbnkBrAOPmMVpFDuo7yBa8VrBGWF8QXhdIOSJOBYbT4pR5drX2SUwv4s2bN2/evH2vzP9gefPmzZu3qbCphgSzKA8fQdR1SMERUIYQhg+RCYJJClXgHQRb2XgJd+vawEBSfChrr+fYCYX6UjoVRZzUmAgOw0hVJcpiEYgU0qiaBje6hnTA8VBoeDQoisCyQWg3YWhOySbjlFQoFFpkEgfg0Zji1CwEynAmMh1zOoySg/4cFIgy7RfPLSCNiUKbrbBfuG9EjQXapyalIYFxegYQB8qESvlwPdDUHHwwDKgkHyuTr0PEQTnhPKdxMP8OSTjXLhGOqUGsjM7FmIggNc0KOyayCw7NOTbLpiYhCBH15WKUtBoeN6BShogAITHMA5FThvW29pjnkSNYYL5pHICauF37WR/Xc/vmXxZ3hYJFPh7KlAEGFBGZ/6ghYvRf9jxbNlgoZo7GeuPniDg1ht9sihlaU0jxwgQUq5JBUKRTFnF9RnwToODWYfee9XYodLpRnPcKZfkty7QMY0WOwTxgVxpPtQgfY166y7TObAZsHo9+784V4/NyIr76/Ji4MZyLckcPD2few/LmzZs3b1NhU+1hRcMstxtHMsKZ2G3pa0omGJIXgAN/1t6zXhTp59Uq5t5uxV03VzNb6QfocD1SQgIndQQRo0Y85xjJF2uu0031nNZrzHHVnQ9t4ZH0sa7XNyqu3n7fbIcDan+kXlxMSRNtQkiiq6OsUmfShRJQXI8s2YO9Q+iU5TwsuLKk22fTSLBHWwGNlp6Lerm5w3rd+c1XzLy3QrctrepWrVWhBI6V4u7SpbZwZTY9BKdsGOFf9sRQMe1kK0V6d9+KhxCxA+lXyJuBd1KmXMFl2C3jgJo9pxA6drSTxq6V2/r/2/uyWMuO67p9zj3nTm/s1yObbEpRbFgDEJqxIomAP2SIgEUKcKRQlqkwhKEEUvxBGgYNwxAgD1+RDQkwaFmwZCDJh0MlnkTHYhwZdOiA/qBoqjtMEIEQRA0UKbLZw5vufM+Uj9qralXXaZLtiDAvWRtovNdnrKpz7ru1V629FvbncyZTKEWaFsib9OoGgSSjaU35eNbM7UJAb47p3cjOmJJu1RX4vprZ4dwuKV0kto/hPJsVLNoyDWRWgz//O3fczxpzSM9eBEaPRAwAQsA6jTDv9J9tWB5gMyAaJoxzhwwhO/kVpQB0fF/7ltFzxPPhbZYYROfaPz+0DcQJLsHAZzTz3pWQdAFtTb5emzYinlU2I0QmUyIGE46aVKQINUuvFjHDihEjRowYKxHxCytGjBgxYqxErDQkWA4ST0S00gX/3aWr1SkV3mIHXCg0lERSsHVYBKtNZobYwCk+Fv8TymqXatuREn5yoOSIvTWnzAB1CrYXcRemxeW5Ehco7YbT8FLtQri+qm5xKEYt13jmyBnWGoSEgBuFQNl9uYYbMBE3ZmKwGnYX7gDyInsRwIMpCWFapQvPhVhhNVIRwTYeW5Az9pZmHL9THLP7DgsdE+8lMMdfnDulC7tIz+iVbuKaIpQIMUQFKNCzudBusCgoghf/UavCtV6os/HVJ8JFfVwHsBkvmpdKBOFaLcA23Cbcg9BrCyVxrQ7GoLfvBh73YMh9dhRu29SfaWi/AtiIa4+geMBEA7R/7UWq31nv6L1ANHD7uM22j3ilh+E+hnZBsAAMKCKy/iePi4jI5MNuG+BZVmNYou0EcdaZGQvPomMR1mYB/mMB5MElPW6L3lu8onoq9xX9YFIDIFMm1OD9YSIRrssEC0B4XBNna+yo37BLaRPTXbY8i4wgTqeAEpJCuN/9vUrSCAnGiBEjRozXW6x0htVZNlKV4fYBqUskVmXB7a9B4SSNN7v4T/xlEA2Ygb2owlmmvQZlZyBspHS9XKnunGHhOL6ebQsRCIY9MzUt9NykRYCL+wPyyJAVMfRnlYcGjtxO6AWyvYkdi4Zn8Lp/QCkRsjMuN8Dj4PZBwaLb8gworJWGjt1Ox9mldHXVuNsicMZEjMugY1Pm5JQh3DmYQTNdvYPHQ6QLUK35ETjLCLcNi/5sHGlN7NomlXTf4SXTJ7u4PmPCiqoXdJlGrO80GS5iFp5SpgFqNNt2WAIMqXnYrI9m8FiQbzNV7E7CxXq+R6bjmE2YHKHvMn2GryRxdKjfUH9oI0mwRYjdz89xGdK2kVmt/enjbtsd7/aO17uE/dGxaBKmfIP2zwQvfX5EP0fGwqaSpWaIyn/xdQNRhkMZnsuEWq47cS3Hu8zZj9OYbCl9oX73tA1tpR85fZaxn98VkIv4+SWaITIZplhLpSxeed4UM6wYMWLEiLESEb+wYsSIESPGSsRKQ4LZrBHWM+goDHYatq7ioLTJMLQS6Q3JcVg19FOqUQJcR1wBOT4wkNT3Bi7V3VSB3Us9R/bAfU/0HYR1ue9chRF9xUqSgcNFUBeTUE3Y0YEB9JYKCa51HewJ25CU0vQFXJWpXmuqpA++LgRpcxK/RT0bw45rfdOfkdMVlmVf70vXAwRR02J0gpowugcUD2oSyYXfQkV1PiCFnOob0eHrCRI8rmO7TlIajdaznRqM7Lbv62P26pxaCBOASJgkgWDUEQK3OYnFTk6oagItUGMseMF9/QWFWQYMq4UwIUgHWLT3VBa6ITmFF/ptO63bLDlRH1FlClJN6O0p/EiCq4D9uC4HkCmPRTaptI8hNOaRZ2rUYRERQ6Ek+rhakgtIB9mUCAzaFobGLBGBhtMKECduoxsLupXuBgwoIrL2ZwYeHN3pVDLwXNoUMTzyzNRvu3cOtQVEEX6mVtgXFhzsUFyjXwTPKtSW0PuG59e0cLq4thHjPrxItZctMC4GldU06pbPTdlH29022CbVdF8WV/77RsywYsSIESPGSsRKZ1jlIPHVCzRzenHpVtInMEskCwzQxpEhmP/ojJ+o3PO+maqx7t3eQrUEyawR1PGUKNojzWb2l47WPl6YbbOFu28HFiZzmqFqPxrS/LswMTTtZakUeuo3SBw896n1eqw5CDJFQ7R2kB+WC0d+xhg0Tctsiggj6G81Y4aF7qPxwUy7mJLlh7aP6e9IZZnqXunM9PnZloiIPFu6Z3t5YTLWUeqYBrjv+dmGaxKM/ziZW4QzfmsFwTR0ncmyFYS1gBiEM+kOK68UOJ5VMhLveBGxs+82qjuSXM/SA7TxnGevOrunBXLMjDkjAfGEqcrzo7CCCEkvnC2kh7gvPZ8jWXAPm80QIcCOM70qvQOzn+04cJwlHXDmBEo1UejbSgJAxW+zz/AtYaDp57Yhs9r4L1+z28ZKhed2Irvu1mRcuRaSMyztnRPqFNmM25Zol0ChH5A2I9491nAsoEe4CJ8Z9xtt7hDRAc+ZLUzazsXj4+wdOom+Gao+b3oHkI1zBrjY0VKFA1K/SJNWE8qrRcywYsSIESPGSkT8wooRI0aMGCsRKw0JJrXv8NobGizgRwYX7LZvbR8XEZHvEBxV90xqur7lrComCisxMeDYhsF+Xug7eOktG5dEROTp7RPBcc+uO9LFyQ1DCLhp8zl3X8UFnhttu3MH5tz9TXduoQocGRFA3rJ9WURELs8NDLZG9hlAORgmHGUGCjyx4UgKux21JpEw1oeubqlQx2GGBI8MzVjtO5VXGW2awc/XabVVMawiIShSIcb+hiNHzBPzPAqqUUqG6lRLECwEcf/Rmun/27uOTHHDcF9ERI7lrkePbf5jERH50Y2Ldtv3kh8REX/BHaSHilxasApfkIKEhW8ISgKJokPKJovtUMkhvYRF+LBuiTGiuu1TqLvBJ/EWtDshnDnbUViRrmXFS6cEJWm/m4TmqmgTw+uwUElfehugIa5JAwyVuVdKumqJUpIihYWr2GZDoc9U++ERHTqoSWPSRQjr4brsFAzhWra6WdrnQvC1DtW4RRFj+iFSxAA8uRHCkwyXtdU6QZjFFzv2t7UpljA8C6iRrwEokp+PJUERZLrYUrILEW9Apsi5Dq6LfXQPJcUwHA3FkialG09Cp+7aQvNMvEk95/eXi5hhxYgRI0aMlYiVzrCyWS0d8vObqaZfQbzOWWGmBzVz03XGX9MMTOpwJlRAN5BmMdYskKqzcRyrHEBz8MLSZWf7i4G2iQwmc9O+inX2tCm8bVqa6c54qVRyuhno6h2yEgE5oiTNQRA2KiJOIPspem4b6woi5ji3ahlHysRq2I8QecVqI/IY6zmsv1i1PAM8l45KlcxJ0QD35ectLSae1h6CZr7ItipKK2y2QJmYVZggWjJUC5A1mHuoUkER3oOzM6seQLT2pEHmQJnQFRqCg4tUgnHEvDM9sgiZb4HEwrR6nYWH6/KeMgXCU7UAmYGIAVhI59k/yBFs9AjyCmvvwUqDP0vQquPsCI+yScJ3AWoNfH+0k5Uh2gwhLRGECBGWGMDbliERBJnV8EGniLH4wD8L+gPafbHm3seO1fxzx6EsgO8LNRToObKyCj7qTPJxhqHhc+TMO4UCCl0PpQLemGl5AGc/OMdT7mh5LuiHZ/6IEgg2NM3xmffVOZqy5QW9SsQMK0aMGDFirETEL6wYMWLEiLESsdKQYFKJt1CcqkDqqHLEgIVCWSxXgTonds+FlUa5dENStUCCE4XmWBF3oRAf12uBuFAJQ4dhCXrZwMqD1B1gs9GllB3X0zaVtLKKbJ8hN9RwoR3muMQ7XsQJ5jLUV7YI7LbCdY1/L97GYsOtx7VYiTRlCBNCUHis7AhCmSzsd1C6WjdAkaOCVGCx8EzD31qH1bLNKQ+4c2sQA8oQSmI7DuznujJ7PB3XVCEkAugKcEtFkC1gR16EBwzH8F8+DpWhu1kIy+A6noZwjX5TDY7WzzCZATBVhxUxkrDmydqVePU7Yb/xPuQLLNq7fWkLJAmiA9ep4R4ssgoRYXa7hUVIq8suqTKAYAEYUESk99+eMNf9F46IgbFgqA9tZSjSCjp7bTEb50eUEPY8QcDbpp39XffSzI53vb5yNC2fPbYSQf1V7Y2jQrZ0OQjXerYmIxxHEKPWVHJNWLpsebZoy5yg9GEqTYuA+dUiZlgxYsSIEWMlYqUzrGIjbdV9YxLAos0sUYPXD5MsXLxEVsFr+uNCVS2IimkzkZYkZFKSgSKyI8p6sK0pQjJDQiSKLNUZp/YNJAgOL8PSjJJJF5gUtWVEnG1Ck5DHB21mvcJ0Ec537LVbpkKeckYbEyBkGbv7twmkYR+nTjpkGaULbdpyjYSZExa+eVubVh26wYvgtgtVeByfCzoy04zdfiKvdNAm83O+4/poiQ40Q8YMnkfVZk40g8U5noEj2tSitehlli22FFZZg2jyMPfjzAWPu+iwXqH5yRktxgzZWbt2HWWWVunC7UcmxgoNUPjg6+FZsEUIMjpWsAB13aOha2Y1/LIjYuzffYu5F5URWBNLotPjHsicRFyGPt/Re265fSCRpPSZt9R9RmY6KBNw919smL71DiUIfn/dR4hNHcN3AAobrLqBd54NO+tF+NzwjKp+x9vWtPwpuFrEDCtGjBgxYqxExC+sGDFixIixErHSkGAjV6TpCmtxXc6a2nyM+Dy1rGBoDJAcW2/UIF0QzLPdNYVfNduVtInE6rkMT7a5BCPSPkn9q9IF144xeULE2ZJw5LlrU6EQZyel1B1wi2eVq9fruwXd+dxgNR12HFZCy3jqyAzWYZnG0boUV4yh6b6UCzUA0VAHWiBVBOrO5lxjV2k9Uj7jA0XEhwkBwVR0L5AJGMaw7WRH2wpkCl7AVxiXoLHS1lURmUFvXFLNFYgGbUK8vIBua4n0VCYQWCiHywgVrmPlDkCcg8vuvQC847nS6qvUv0TvwFF9B4gcUuchJLjxjMG6pte5G1vCCL1m2RT1WgQdKmS38ax7lxfb5rnNlHyw+X1HPpieyLXtDHlpTdE4hPCYBDDfBpQVkmyYHNJqEbIAiYOIC/oMAAOKiGz/4WMiInJwl7Mm2XzGFEyNbnDj0981z6OgejG0ub8Xkk2Gl8z4MPkB70NbmwqC+tA3D/7Tv/rrP3BjO98xY+tZt2htX++AYUK/veZ3fc926Rno+PG7t1CFmKBmr3jlmGDMsGLEiBEjxkrENWdYjz76qHzmM5+Rs2fPygsvvCAPPvigfPCDHxQRkaIo5FOf+pT85V/+pXznO9+Rra0tufXWW+W3fuu35PTp0/Yau7u7cu+998pXvvIVSdNU7rjjDrn//vtlfX39mtqSiE+IyLrm25wN/UBq8KZ7mvV0e25mV2p2llJW0VeTxDHNzOcVVg6p2j8z922IkLDWNbOX7dw5HmbpEe94EZFhbo5rIyTkAze93eiamdrhksXv9LothBGoXnQ77l5dzcqWGVH3NYvj+4NYkVE7YQRZ992sbD8z2VaH7o/ygNozidRMtS2DoufSRnxB9JR9sEVkioFO/3PPp8Fcj8cdpANWVEjtQrE7FZp2Bb+GOi7EFbAL1F52FiZYdhbMhACQGXhbaQcmpGbjJ9O2oYZQ9t1FLFmBEm9rvUFEA5APPIsQvfb8mHvRLTmEdeQg+kEU7dGbzAB6GY4qPfBjaSNPQDEEZpUcUARZHHF9xP3ZQgWvDytTIEvgbbDF8JQ2NpF1hRR/T4WiRNZFFkC6nwkWyKy2HnDWJLAr4ayw2AANnD43SphAm9hgE1R3bqcjlNDYNVen8/O7j+wd1HgR97yZ9o++TU66e/T3w34jc+LngsyKM1VrUkntmx3rvLpagpPJRG666Sb5/Oc/H+ybTqdy7tw5+bVf+zU5d+6cfPnLX5ZvfvOb8jM/8zPecXfddZd84xvfkIcfflgeeughefTRR+UTn/jEtTYlRowYMWK8geKaM6zbbrtNbrvtttZ9W1tb8vDDD3vbfu/3fk/e9a53yfe//3258cYb5amnnpKvfvWr8sQTT8g73/lOERH53Oc+J7fffrt89rOf9TKxGDFixIgRA/Gqky4ODg4kSRLZ3t4WEZHHHntMtre37ZeViMitt94qaZrK448/Lh/60IeCaywWC1ksHMx3eGiKCuo08WAHqDWw8KmFxDiXxMLhkhbm1YW37roLovaIYYRhBjtTl9aCWJEQrIY6qVkdForRGq8sFGJkIgR+KxeuH6j/AsSZ0vGov2JoEG1aElkDihwsqgsUKm0hhLC78FzPnc7JNViVKZoqhMYSqitL4GDcppbBnAdcJw3bslBs6oDIFCBWVIzXab/3C2fXYmuKCMKzNTgZQ2NtahXmp2cbgleKbST0MgxRA5Jie5HBJfOMuA4LNS0Mm0EcF+8eQzogJnhcH/2dXzdAjQwRLdfDBXII3AJqFBERXXCvmDRUAeJ02/p75pzlRij4mnrirgrTcR91XNafp4V5JUeATLF23mGcy61QUQH96c5CyIv7beE/UteATQmTSKz4Lb0r2M9ivm3vlCVY3OlIF3AuPvhXbtvgokLzWyGki/YxZAsokN8j9M13ejY/GZoD1Oi5Weu73CPljEbhYK6JgwBzdxS+50uG+lD/RRAnoMDuIf3xVKidLWa641rK4upLAVfGq0q6mM/n8qu/+qvy0Y9+VDY3jbX5+fPn5cSJE95xWZbJzs6OnD9/vvU6n/70p2Vra8v+O3PmzKvZ7BgxYsSI8RqMVy3DKopCPvKRj0jTNPL7v//7/1/X+uQnPyn33Xef/f/h4aGcOXNG0rrxZuhdNV/cyhzNGTPEhGbtMLlbG7hp8whKDkRS6ClJgYUUWMPP3lfPaYiwsdE1GeEGudh1dLrMnm5rSrpI6NxE6eI5Ud23e6ZP06LrXUvEJ0dcuW2r5+6PLMnTUGzJ2Cxhg6671qW0Q2M3N6SLnLNSvXYzINq/qiD0yRwTJpVMPuioYWU95o2mXUe7xqRxh0gXIFasZ4vg+GM9Z+roaMmhjt2YNPowpCXNULGQzTp7TICw50JFhB5uNtPsY53Gu+Mfb/aHSgqWzg6SRJevC+oz6T/CDJGGoo2wgXv4NhLm5+wYKxCEpItcqfCcacw12+P+WCuPkrK4buLtM/3Qa+yEZAaQOJBVcdu98U/CbY5QE2YkTIqBEWfGmoa29kOC8C1C9Bwab1DXmWCBzGrrPzkixuG/fI/XHw5kR0y6WGyF6hJXlj1wIOsVcdk4W4mARNFGsunSUCDjPnwTIVZq8MjXQ/uY5IIMninsCLbRmZy8NtLFq/KFhS+rZ555Rh555BGbXYmInDp1Si5cuOAdX5al7O7uyqlTp1qv1+v1pNcL2XExYsSIEeONEz90SBBfVt/61rfkr//6r+Xo0aPe/ltuuUX29/fl7NmzdtsjjzwidV3Lu9/97isvFyNGjBgxYojI3yPDGo/H8vTTT9v/f/e735Unn3xSdnZ25LrrrpMPf/jDcu7cOXnooYekqiq7LrWzsyPdblfe9ra3yfvf/375+Mc/Ll/4whekKAq555575M4777xmhmCdJl6Kv5iZFPdZKEiKIxo0c4YdTJp6eOhsKWottqqoRulA67QIYbTOv0wq2J+a63TGbtuLI+M0/MLAZZcjraGak+Pwxemaue+MHoWKyi7pHs8cmhqusboLLwnKms8UJiTSxXJqtr04dkVFk5ladMwcFAAEhK+3UGIFFdHLUgkYi4U7F/1dZrTSD97EyPUHdiHzDTpuZq6XTWmRV59Bh4Qza8Vhvj05LiIi39lwZIpnZ2ZMNggSTNTd+Fuj43YbIODaI1iAKENQrP4KtQERt6jNArKdgS7WMzLVUusFSMq3IfGvK0JOumTlUSsCCwiRYTjAeewQDIjTq1HSbnTJmRi1WyyQWmdQnHDjODtmnhXX0djj6b59hY0KWkjHWLE7rbVaYVsTJZasXSBihZI38HxYjWF2Qt9zQqeh5MCQJPRg+0QisUQMImcMLoUKI9bxmCBTK0TcImzMKwRWwYIIKCBYAAYUEdn8koEHp2RNgnuA4MDvlq1puoKsIHKFW7O2mQkwbULNvUOF9ei9SFueM/rRO2AoHe8qEVX03ewRwQL7e/u0DDCE8ou719r5SsoiXNK4WlzzF9bXv/51+amf+in7f6wt/fzP/7z85m/+pvzFX/yFiIj8+I//uHfe3/zN38h73/teERF54IEH5J577pH3ve99tnD4d3/3d6+1KTFixIgR4w0U1/yF9d73vleal9CDf6l9iJ2dHfnSl750rbcOorOovYXLjmrpYYFeRKSnCg3Cagw6LWKyADIMtvRY75sZ52VaeB5mqkxBJImh6hVOe27b1sCQHY5TW17It0TE1wXcVHLGi3S9Ro0b055rH8gTUKTY6BHNX8kPbP2Bfgxy0mkrTEdKui6o5qxCkek5vA2qH6yIMRvqLI8IFjUo7DllGiAQkNZh3dFXj9dks1Bnr+mZe+yo+N3pjlOw2MrNmGxSCoz7Hu+7cf8+FBr4XbG2FK4BmLV6thTaZCYf4He+nnWYocmio8KHnwm+nrXcCMVY7M+MKMNW83AYZjBJxVmXkjMoI8IsmDMIXG9+1GXAeAZMNGiTwsRsuY0675EKNCvKSCEh1ayHMwfQuaHztzjiBqpNwcJmPWwoCPJMj/QA9Vkw9RpaeUzbxvvgiae0KHzAfJEtQqANyPcAdZ3HYtpiTTL+yHu0zaD6k4Gjqn1wtmIVQFgpRseA79WFOkYLyYfLKOxnjl4LZOEFEV8yNSPlbNPai1DWZe1cumHm1r/sUuTpiVyqIjzmahG1BGPEiBEjxkpE/MKKESNGjBgrEattL5InXh0P8JMpWWTOlwoptLjsesoLmlrzNhANOJ2el+Z6UHkQccQO/ziz7bB0xA5AgQUpSCwVc/HaonUJvKnSnB1KFwwr1hbWCzEbVirAcTWrUCiMyEhu3aJIgfsxJAjiSU0wVJtaRYr7skVKS/2INTtt2Qf1kilJSUDNY0H4GiCxJb0Y+JXVC1BHU3uWI6EqgK3zofes1SXG1jfR9fTasF8QEekevgRkTv0G7GWhMbKWwEI7Q33LtbDtRQtcN9sx23iBHEPq1RsOABtR+3AZaqet12pxUGZoyorK8nuG+9K5gDatmC9DfYDhNt3nO1XoiUkp/JwReBadPGwnKy9g/BJ+jno72LVwmz1RWVXnaHNQ5kC/AQOKiKz/sSFi7P5rY1fCUCPeBQujC5GG2FHcjjvVySmcx2K1ePYM4aHNbP/yUuot/BwBrzPM3ODvKWvz6u5A0PiVC13EDCtGjBgxYqxGrHSGVQwTb7YHLcEecZBh4HjQpRmlfk8nLZp1HTquttYkbv96bsgOTZ+UJqB0QWXiME7M05CyWdKsCBmTZ60x1NlJy2JkWYXbat3GpAtkbBXdqy1zgklkh8gmyKLKMryXp0OYhgu6VrGDZqPIRlMycKyUYMGzeqhU8Dji2rlO1ydN+Mr2SPyvaXmmTElHwNCvcgmwm+nTMIFxy1kKFpnZmLHY0GvMW1QYuNp/FJI9LImD2glNwDZdPMzkmRpfroeZDqxTeJZbWdsQXnDHue44ZDrEGbJtIQDDKhowUQXnst5cGx26gA4g2WbMt/1McXjJHT853fWuJeK0B7MZGQrqdaHMIeKyXB4f3COl8UHGtCTdPmSKrLUIyw+qoLHlEB5pp6XcACQPzgSRWe38B2MCycaQUM6YHaHrgtTQ8hecSSx4B5dkFrnYNj+HF4l0thF+1lF2AHULDoyxOdf83t9zx0H9ghUx8E4Xtd++utV3qD1ihhUjRowYMVYiVjrD6u/WMt9w/0fGxLb0k4X5Wm8WDErrLI4nDnpOQ4lO1glN3w4LQyFPFpy5aJa0pFmZ/kwp/UC7Mso0oFfoKZ6rcny65jIHq0Oo53If3TpUOLvvZ27aPtbjWLdQbDZFKuiqB8iFyGhzTnqAqLfk62F9LGHsOmtpn2ZgnP1UmgGmlKVUa/7sbjt1dF/oHy68hRYTXb4wZsgjMrNUq3RkWiIO2+fZKM8QbdOh97bHM1Rd03DSjXYGy1p51tSRl/MmoV5hqWOA+3NxK5jCC6IbDy7re+EVE2NhzV0XySjT5KsWc0XbLxqLwV6IFiBjGV6kAlHVTkxJhRvZIBsEdgpOr010R37beV2kd6DGlVR4in7zq4UxK2k9ZgOK8DQWVlGcnjEywMFeOD68ngbauae4bguWw3N5G9rqUdd1zQqZ1fYfPmb3jX/W0OC3vstF1CiyJ1RnDg1Q+ttQhcXRs6Phmjt0ClmvEM9itsNagmY/FxOj47yeN7gUvit4lv09967MjmXSVGEGd7WIGVaMGDFixFiJiF9YMWLEiBFjJWKlIcFiLfUWHWs1ZGQquY2K02QlJDAkMQeVnFLnZQg1WYiPWegKpzHVfaSafxcWpOWn11uQluDB3ECMHqaht6gn7v4HC3McaPo5kSQA4TFc1yg5Au0QcSSKeh7Sy5mQAYizItgTlPliSZTUKqTJg4ufkB4gtAErJn3gOCZEwBCSkU3ddliafpyv1uy+ieo6MgyW6HUvL9xxIBrMCUIDilh6ZndQKpAg2IwQWnbFGl8PNGMiECgUyK8jqNFMhEjx3jA0gsVyXQznBX9AWXULlMcqEFVX3wuyc7A2JEs+DuSHEP7MCHKC1iETEmCwyPp5gKG4j1C6YIhvriSC9edJS3A903aak9dedPswnmyw2UZKmW+EUN/0qDm3f+C22fIA5gC0qGTY/fR4AOExZDq8VGq/XMdhvggSgojTBmR6N54LngFgQBGR9T8xihijn3M0eKvU4tH0Vauvhdbfwv26QkMxJBxZJZAxjZnCjtOTVDaiZIqG4HCMAfQVRRxJaUHEqWzWiBQREowRI0aMGK+zWOkMK1023qyno9qATHO2FHL+atZzMtYSHIAsQIvbSlhYciKGClKasYCcwXRs6BBC705EpK8afVz0O8wx9aT26SwnXXf9ODowGnrIsDpE3AAlnbOkVEXwoHPI961atAS9gmDNpro9N7uFliCbRY47Juvp0PWQ5dYD1z4UNzJ1Hk31WOpZONMCYWNTFdmv7zie9UBTnV6HMksllvC4YybNM0WM8ZxeDMyGvSwFNHAa20IF43sHTCoISRcgCaRUCmANFJmUoru9mTHeUc0cGjY+1G0VaVc6GnoTHMdZH7JR3pZqpswkBdyfxwK07eEl0srbDAtTQav2FNQ10efsdaDXYXVxZA7ICrmo15pZsjEjzCwpy0ZmxdkHSA8ZWRCgGNuzmc9Biaf+rIUq4321l09L9wLjejnR9GFr711viKzZvbcoCgZ1nQkWyKw2/ig0gWT1eZBCcjKkxPuWTelze71Jifh5o9/8fPD+To+7Pub6K7JEEWcI6Znpan9r1hfUdg1fdDcZ3dCTahlmhFeLmGHFiBEjRoyViPiFFSNGjBgxViJWGhKseolfxa/QS0Eb80642pgofOMZGU7U6JGULmZaw9WhuiAoXUiInnh1WFM9d1a5eywVPmD4baqWH55aBMgH+05S4NKOIRGULVqCuB4rXdRayzUm0sV8bu5VT4k4ofYdXJMGSHA+cfeHigiPWaqkjGrKEgnmR2fs2ocF35JJLrBsINJFoqaObJGBMd0vDHPh28URu29Uur7Z43XsLhLZ5UoCg4hTCKhaFqgZ0gGkwjUmiY63p8WmZIKqz/UuSrogYkdPoSm2rwCxgSFBQEkWoiLIDcfx8aj34ZI0IOM5wUaLTZA+QpiS7TNQxsZkE7SJWTE4jtUdUJ/GUF+tbWWCw+yo+c9glyE53acEC88UsAfYituUBtdtdLwZsgXpgZ83oMCqx7CjWmoQmQLjnBHcOzsOWC2EankssM2r7YONDZEu8C7hWaHOivvbZgLJRAx7fyIX4VGlRPpwOo2uP7gHw4SWCDJmeN/8ZGIJxp5JLhhvhicxjuPT7nObliL1K/dvjBlWjBgxYsRYjVjpDCuf1lLSOnquJIFNmgqBECE5Lfjrz96QKs11IpDScesDk00d9Gi2rsGadT0lIoyJdAEDxwH5ea91tTqeVCWgRJHQfW3GNHDpx7GhEUaDwoUla4jIpGd+r0hnEOaPG323wIlzpy3K9VkW3p8NFzEWEyJdzEZqt84GjkpxrzZo2jTR2RaROJaaDTcZzdSG5pyavQp1TE/2DkVE5K3dPbvvSNcQUXiMYeB4w3Dfbntef/JsDxkWz8yx4MyZE7Ifnpljhtrfdf2ZHu941zC/g3rstiH74Fkw7udTyP3Fek/pwv7eQuYgyjeyH7ZCL/uZtp1o8jr753tYHUB6VTB+TFJI1eSvJIo/+sYK6ilo53Q9mCqyqWOjbUn0+Iwo+aD/+8aMSkrhV1p3s24g2s6kC1cOQdmzjgFncTbLXnBblNBScTaF/YQuFG39xja+h5YqZLhXSARhgkUbEQPGkJyNI/Pn7BlKLV0ifUCxg5VIEpVjYR1EvKOs8jI5hfKNMLPMJmzaqn1b+u85E4BeLmKGFSNGjBgxViLiF1aMGDFixFiJWGlIUMRfvK4UaqtbXdNCpYuSFCcgOMu1/shUUyJTdMEgoFtUVrWBqviVYLGWOYwIZIaMiCAQv/UwDb0OiBMiIjM1jqxazBohXJsThFco3MLJdqGkh4YtQvQ6/vUUliHZf5hOstIFoqJ22uvRmIED45EuypZnBEFcsiaBDQnUS3aJxAJCC9vJ4Nky2QUPlSEvkBRYNcFCE9RvwDz8ni0V/oLIq7mQXpd4IECmGXZc6jmszNAGYV25j+9vOUUtMBgL2aK/TCpAFGvhNlahsEQQIhUA0uHjoKbhLeAvUf9FF9dTOtRvPLaqpf7M3pPtQPS58HPE/jZTTYb/nDkn9ScLr8cGhrbpLyHOyvVfFhJruH0t5wCmo+Ou/JPVobZDwcIzs9RxBAwoIjL8slHEmNzhtrXCbXovViexxpktRpxeu1ogcjwzhoqtgk7XjSegzTa7n1caMcOKESNGjBgrESudYdUdn9aOYFq71e1jG3dVs0gp08EslE0dQT5oSIFhf2lm+pxN2eN4cqJTPrZqBxV9WYbbmjqc2bCpI9QccC+mtcPAsaRpJq6XtyhisH29VTQgIkgDZQrK2Gx2SNtK2IHkTLrQ/uS0oKxlAZ5hZh2OmeRXn8kiixrS9KzXJpCmsdZxhBo7LHR5LBpPTrlngUsvh+44LPC3zVR5dp0iq6Am5UoHXrLmYIafISWeKeRoM7IVNoHEdTtE8gEdmYkl9p5t9iG0CeSDphsextR50Jv9DCvx2inisjcoJYi4bIv7gcyljRoOJRkmwOD5sHGmpd9TlpRYrceQBODZi4B8QEaP+NPh6ewhcaLnDRuizpIULAahrmG7FY1mpZxE6fsFFQy2CMEz4GcLYgsTLJBZrf3Z43YbyBmDi6T+M9Dyljx8jl0qI8gPzeDOjrgXo1NAbzPUneSykeGFUu8V5kQeuWejI1XnledNMcOKESNGjBgrEfELK0aMGDFirESsNCSYNOLXN2iN0DoVwwxUtPWwx+wMrYSnuiBYjbAg7roKx45olKB00fSoJkNht4ZqqVBflRFGNNDaqRmRPYa5uUenT0KYadiWPoReVUB3QHVYgOmYOJGp1QgLw6ImjeuhQITo9dz1lkqsgOCtiMhQf+d7zLRuKqd2FoBHGTJVCLZH9iezro4BWRMDAq0ZGtTfN7OZiIhs0P3zFGLHJH7bV8HZhBfcRa/r2gQbi4pgMGuXwoIcaCZhl6UqPjQH7jioWTCpABAJC/yi+aUHjWnb2yAiwGsepJR6+8zJ6KME29qQU4ajaiWKMNRnL0FtL4Zt8I4ex4j2FW0XcX3skutzvRWSHtA3htUQJURhiBRTK1zvEVYwFi0kFm/BPxTucPei52PVIhhu1V8XbKtSt9TsKYy42A7VJ7qkqGKtb7Ac0EL04GeGa/Azw/1Z/QJ1WkzEAKTaRvzhJZbFjg44uwfp/pqeLWBefo7oL/ejTfi57vift5eLmGHFiBEjRoyViJXOsJpEPB46lB7GxC2ewoRxmV5xoqN5i4g0IC64tXqZqc4fU2bHhV6bMggYHiZsQaGkiBlN4aEbCI1CEZFpz/zuUcP194rsOEDesPYi1ChoKIq3Te9fuil3c8U+EZGmwlhkwbkLIkkgO2PCSDJTVQuabeF6XEYAmrpHa1+GcyWcm9K5jTVwNGSXEU2HC52azYTSJNU3LGkaZ6nrRAuGDQfTmDFD7LTYHTCpANReViPAPVhvDiQFmBGaNuBebpNVTeB1bD0OxAWelVqrioSzihZKvqpE8Iwf4EObvUjThH2siJaMtnDmArJHp+SMIJzBuwzQndtT7TkmVoDEAJUMNud0J9KdWkoWEBWNp1URocOgnJEtOBvX/lDbHXWexkfbqQIsIuIIBvyutOnsOfq7OxfkiWWL6ggyZLYIgTZgWybGBIs2IkZ513uC+zs9SbrOBVXmWSPtP93PpItigBIR+nypugo/b5vZkZpGutGR5hpo7jHDihEjRowYKxHxCytGjBgxYqxErDQkWGwkUhMaBEhpd7lmt6G+KGHXV4V8llN3cqPWFg2RAMb9np5L91QYKp27603n5jrpwqW/E4X9Xpxv2G0zhfOYuDBZahsIEkT7anFw3gsjcx1AjYuSIbywbgoWIvuzvt0Ge5FqRviSEiLYUbeCgG0R2ouwwG5HIcFyTq+RPoNkQVBbCyQIggNDEBgDz3JE4ZgLahfybLlp9+1pTVxGtWapQo3PTbfttmId9XTcJvOzjfzgw3XhcanCxguybAA0w6SH6TGFdt0jsLBxEpaxeKoIgMLqLFyRxuvDoqT5VLdRjRLgLU8Npgd4y7V9qePDtio4juumoNKx3AjrphZderZNm0oG+k21Y9rW7oi3wd3Xv76IIxqgvSIivYOw/g2wGkNzc31WvlVGSNjAmPJYLJQckk3ZeiOc6+P5sZUIygGtK6+I9A6b4DjYqCy2zf9nR8M/zXAKFnFjwe8ACBuoszK/62fvLkfE2HrAEDHYrsTWIJI1yvxIaN/j+sgqGcFh1omaxYvx3lRd14+0bKSJ4rcxYsSIEeP1FiudYfX2amnchFtSzRau6zu+8daaoUPPugO7DVTQ7oCo3JpVpEQv3xiaFfSDxNmLHO2bsvinB27msLlmjrucu3uAEn7dwLVltDQzlgNxU+71nlkFv0xWIo3S2hMykzw2NFPovbm5B6xKREQOcnM9tgip9HqbZC9isySi+EM5o0uU88TqC9pNMtTrTGZu1rUcqvUFZXag8TKtHZYjnr2IbpMDmjPloLUTiUNpy2cGe+Zn5la5j/bMs+Ayhsf75hon+yO77XmdLbOhHyjankIC6OXUb6hPMDUcen2Di64/iy0za0xoVo/sgLOU4SVzzrJFx41no9NjmXcNS7TwrhfON8lpJSBuiIhMTprr9vZc21OUdMxDYkB/z23D/pRUY3pqscJmhJjpe8QBkB5obMewOqG2zHfMNlCduwdUeqJZDd8fKhA8y0fm5N2/DI8DcYKp4UN9ppxBwXSTiRMgE7CSw/oPzGcS5o4iIr1d80Dmx1zW00ZIAPFkeBEvoWsn+sFtQpbNFiHQBuTrtil8ILOCCaSIyOyD79L2uncFz7RNp5EJFott/XzPwuNyKmPoW/1OZnuIJEUL3HCViBlWjBgxYsRYiYhfWDFixIgRYyVipSHBppP4Nh8KM70w37LbDiYqVkskiY464C77Lk3H/ppsKSbDkExxeW4IHZ2xg3RGUwOTdWhRdqqkiz1SUt2dmN9LIi5MOua4ZkYirDO0xd334sTcd1GEj6xUZYqGrHphTTKaOwhvsVDRy1kI38w67rgacF5Lmc9yTmOmZIqaSReoi5mFpItiRudOFYaaELwzwUItQSVa4/bs7IiIiJyvHKHmxZnBg0eZg0dBhmGyCxaKW5UaCEJD7Q8v9EPUloU9Qaxg6wS4wTKZomqBqywRgo6zzsS0+O+IFan3fxEHSTL5AMKoTGoAPMj2IoA22SHYCdiGEBXXQbWNH2AjbjvqmtjqBMKwTHrAdLmt1gowHdfJWbg5DSEvbhtIHx3PwbnRc9092okvYVsAsYFIYK6t8DVxYuaqDMGCwc2xcFuqdYvcFvQN7xlDwNjHUB/6BqdgEbKTobo2a0/Dw67vI2BAEZHBn/+d2fbP3ba2scDzY8JRR2sPWQgYz957z3IQidx1+7uleLbxLxMxw4oRI0aMGCsRK51heYt34rT3TlL5+frALMjP+o4QgcSlt+Zm5guoLBAhAcSJ0cDdZyM304maSBfDvrnO/pC2qQ7hke7UbtsamHM56wF54lKfKOkgPQzcthPrYxERuTw1GcaQtAS7ffN7SsoUoKmvM+lCs5UZW63AhoRIF5XO6Ph66GOH1Ddmh2b2mDJhpAyzw0TvmxHpopgr5XtItGXVJqyYsKGajaf65ple3xnbfSBdsElm3UK6OK8zwB5ZJyD7WfJsVH9dELUXM8qcCBGecgW2QUtw5voz2DXnzLcpS2iZIlqqOWddS59skRCBIFMSSdMJrVHYtxJU+3xE2pGKKmRkS1GrvQPfA58tbi/UGNhmA0aDnjFiDro6lRsU4bndEbQWubTA3LeL/tOiPWbr/LkHdZ5tNnAPz8pEd3umjpp5pkSUwf2ZsJGPMRZhBsxSO2hXPg5JSF3/T5VexP16pXEkZ1jW/NK95s5Ohu+l48gWIVBI8Wj/+n4zwQKZ1eC//p3rz23/TER8HUT7fOjZzo7qZ5kRB30e+Zg+84pY9ZgostbxFXBeJmKGFSNGjBgxViLiF1aMGDFixFiJuGZI8NFHH5XPfOYzcvbsWXnhhRfkwQcflA9+8IOtx/7CL/yCfPGLX5Tf+Z3fkV/6pV+y23d3d+Xee++Vr3zlK5Kmqdxxxx1y//33y/r6eut1rhZNegXEonm6ZzcBnIfdeBVmYngLNU9JhxatAYmFa4/WMkPEWX4IZbbrCvVxjVBPLUdGpN7ZxSo4r6prn1K6B2xN9tOBto3a3tI+wHmwORERGek5fN3aHs8LnwrhZQ4y6OrvZc2r1v69REQq/E4uzSAppF4fdYG4R3CM1mGxwzPGIldMg9auLRQ44OIjPRV2JCLt9hGAXBjes4QEchy2C8UEZVltZYZ57EBS08sQVsOCs2cD0vKC4X4Q0/XcjfWVYiUHLLR7i+tVuDAP+LFYD+eqHvQDh2B2/NX7eZYja6hno21DtIVhwrBGCOPCig+u3k0VNKi+C/1lggUgL08RQ38y6QPn8oL/QgkOvRG/+4l/ERGBtrInfqsQMfexzQUYbe3tkwWP1ksxScEqV1j1D3d7XJfr6QCFJsz60GvAKVjEWYRAyFbEKVjw2GJcAAOKiPT++xMiIjL+N7fYbakq7TAUaV3LCYLtHuL5MUatP0iwd7mRStUihH21uOYMazKZyE033SSf//znX/K4Bx98UL72ta/J6dOng3133XWXfOMb35CHH35YHnroIXn00UflE5/4xLU2JUaMGDFivIHimjOs2267TW677baXPOYHP/iB3HvvvfJXf/VX8oEPfMDb99RTT8lXv/pVeeKJJ+Sd73yniIh87nOfk9tvv10++9nPtn7BXS0WR1JvplpMzFTo+YWjtS9gpVG472bQsWcT0soaqc4eqUscZn093h0Gm4+EiAGWOl+4becPDa16kJ2w2y6NDWFitnCNviAm2J1HCAAAFMlJREFUq2yWNFOCkeCuq5j//rahdY9VaaIgavxC6eIpK12oluDFsaOBTyd9bx9HSSaM1l5k4u6/HJhzigUt9CuNv8zoIWizOiOiACtNvdgONQc7VDKAdnVoHNEjlCr87+Uxu+/5mdnGWoKJzta+OTrp+qYz/hlpCYLqXpIWG9rJdGg786RZIfThFtvhTJ8qC2R82mzkmSeSQc8Oo2VBHuz9eYLZOBENdkDvdscjI+J7QUPRW6wf4P5MNgH9nrLdGhR/d+70hFLY6XEPL5n3Zk7ZGSj2yAz42pyJzXdMB9ZeCM0pkQlCK5D3MTV+rtkZZ1PIgFkPEFp+vA1t8jUZte1EvEF/PX3BTRANXH+gpMK6gdBJPHxTRsfpfWl88P7A9ma2445Hf6fHw22elqDG7Ag1ClnsWqgL2KZgwVk2Mquj//4xt+0jRiVjfD1l7VB+2XXPZaT7+6Qug+NYEzGbN9IULQ25SvzQ17Dqupa7775bfuVXfkXe8Y53BPsfe+wx2d7etl9WIiK33nqrpGkqjz/+eHC8iMhisZDDw0PvX4wYMWLEeGPFD/0L67d/+7clyzL5xV/8xdb958+flxMnTnjbsiyTnZ0dOX/+fOs5n/70p2Vra8v+O3PmzA+72TFixIgR4zUeP9Q6rLNnz8r9998v586dk6SNCfD3jE9+8pNy33332f8fHh7KmTNnJJs1UntWFGHFtG0F6y0qHMKJaAOyAJc/4GRePNbV0YRrmew2dy4IButUI9QmKptnodilbR+RD1J7bpg+Awpk4kTVwjRoOxfkh5ogRru23HY8hSWe8K1wCo+ZvmUNbcP4pS3uvilDgrkKfyr+1Sd8ttQF5y4p06LJGbEPbE3TmIkgeGZU3zTDNdw2QC9MugDs5jkOt7gGAw7y1DSWYZ0P6nt4/Rxttf2ZcTtD2Mpd110DRAS+F9QsuJYJEJq3qA9iA70C9h683q5t7xOpwO1kKFTPJWhTzbY9uBPjB9gMQrEiIkkV2qX0dIy5/gzt861EzE+upwPc60HA+l5wzR7eh4Y+uKkSNZi8gnv09+nZJmgL1XUpKSObh+8UgtuOWrecBWpQV0Ztt07YtPyBd4qfWd3yVx/3488DCBaAAUVE1v/YCObWHyVrEn1/+J3CGPDYLlR8pkvQajat/+HEb//2b/9WLly4IDfeeKNkWSZZlskzzzwjv/zLvyxvfvObRUTk1KlTcuHCBe+8sixld3dXTp061XrdXq8nm5ub3r8YMWLEiPHGih9qhnX33XfLrbfe6m376Z/+abn77rvlYx/7mIiI3HLLLbK/vy9nz56Vn/iJnxARkUceeUTqupZ3v/vd13S/pLqiEl+tQU73Duw2SznvsTWA+YYfDEnpoiWbgErGQc/R7TGbr4mcsb1u1CzOD52axokNo8hwghQXXhyaKUZF1PANtRe5RNdDS/IN177T66ZPz4shGgxI6WJRKGGEsqRKx2Jn6Ojde/pzTNmhraInCnuuWRfT1Qeq+rHo0aKsKl101ty0HgoXNFGTVA0jc7JzKXQWWJAZYDI016lI9xFZ5mm1aXlL5p7t6aH5fYOYAY+p0sWb1y/bbT8o3yIi/mwUC701mzqCBk5tqrqw3iDSwxCLzGGW1KHjHA2bxlt3e9Rs6L2xhYlmH8PLZmNBNhaYDWceOQTXYKq79quFcs5kBszWWSvPagnSX4iBKiN0KEuBHQgBCZYu3mW1hia8BzIW1qXDLB0/yxb9wmKNMnCospTh55f1Hy1hgg5bKiU/T8Nz+XpVHrYBWRcrUlgdQKK14x6sDIGx5awHf36gD8nPZ6qWMIPL7oT5ETOO/T0iS/WQMdLfOr0/b4P5omcRshW2E9R1Jlggs9r8z86a5NK/NeSMJf0xxrPnMoZckQG2jJmcyqViwtnLxDV/YY3HY3n66aft/7/73e/Kk08+KTs7O3LjjTfK0aNHvePzPJdTp07Jj/3Yj4mIyNve9jZ5//vfLx//+MflC1/4ghRFIffcc4/ceeed18QQjBEjRowYb6y4Zkjw61//utx8881y8803i4jIfffdJzfffLP8+q//+iu+xgMPPCBvfetb5X3ve5/cfvvt8pM/+ZPyB3/wB9falBgxYsSI8QaKpGmaMB9+jcfh4aFsbW3JOz7+76Q67tx7p282kNOb3+LWyL73PcNIzHZdMpmPTJo6P+nSaSz+c31Vedxcb/0pVzfQ3GJgqPp/uVqv2VsMHtJ/xtU6FD9qoLhTRx2EdX7XrL3VlAKnWv+UPuPgREBDVZ8ezXXmHo1m7AlNNaoxWA2u7dmh1omcclhNo5YjPBbVIFSXSHAdXlxXYVomU/SfN5Dg4ki4uM22Iai1mh8j91rd37/kjpudAMxCz0DFcXduuigiIne96Qm774FnTFU+k0l2z5nnvf5PHCRY/o9j2g4mSUgQIDMwwQIwIcNQgJW4vgmkAs9aogXpwDkMtQFJaTseXfNqrrTtJbUJgrgMM6G/vKBvr0fdAcSZTQli1Feez2Xih207FvV5PPGY6R6oZeIxA2Tp14mZk3Ir8Ov24R5sqwIyQ+HKDa3dBY8Fnhnbr1jVCx4L/XOSO81qCxF7BB29hycqi+PoHlahhMkr+q4kLc9qdkyhucPwWSQe2UW3ecwxCQICwCzKjHGsqVwLY+YpsOgpeCYirk6torKuY180dVq7H3OKGAiGredHFJ5kV+5pI9VyLuf++FNycHDwsvyEqCUYI0aMGDFWIlbaXqRTNCJL2qBkipNDspbYNt/Yi7kTiLNGcER0qPHdTT4AmRIXqp6bily3aa79vSPOIDBTS5JinRYs1a5ju+9IDwcDM31bpG7Y14dmerm35e4BE8Imd20ZDkxHl5qdDfqOwDAqTN/SnCww0jZiiZrJbdGUUqnp2Zq7HhZBG8o2OyBEkPkjMsCG7ouZHwwkRcROA22WJiKVTp2X1JZK7VlSjzxizsU4Hs9c0fhWz0wL84677kUdxu2BI2LsLUCpdk3CrJpnlMiOBnsh9TljokHLTHGxjdm1u15qDRTdNmQTOWUzWLhnijQyG0tCaKElc9txvYKyD9w/p9k1spP+PtdvqN4dUbltO2h2be01WrIFVpoAxZ01AkEI8DT/lHTBWn7WRBJkIBqnUoknrKiA940VU3BujyjxUKbgccysCSO95/qOMCGhSa9uullRRo12MckGZAfOVDHOvtGiPpc9pYPTu9XgVaYughxRDkLCCpNNrMJIi5pE7v40WV1DtghBm3m87T0o5UdmtfMfnSLG/t23BP1Ahs7b8lkjyT+k0kWMGDFixIjxakT8wooRI0aMGCsRKw0J9vZqmTvug4Xwzgz27LZvZKYYeU7wWqUwWL7pMKJCBWQTqsnY3DArr+OBI0TkiinwYvBQYb1R7gggxzdNHdaNa64thwuz/yBxxx3ROqm9roMYbZkWuR9fv2XIGxcn6jjcpTqsoQryMi9As/iddbd6vCsGOpzzirt2N8tDpYKk76AAQJfzrsOh5lMzCAnVYTVaX1VRLVMNdYV+WK9VzwgWgeMwKV00CtG+aX1XRET+af85u+/htX0R8e1FnsrfJCIiP7J50W47u7xeRHy1ga7WmEyPuY9AX5UeZjvu4ULQlKGfNtUE1BcxbIRzuc4Ii9BMurAiuly7BvfaGVQW3D5AKykrGuhjgboGX8N3DdZbkXsuCA7cRwRDWYARuS2os+HaIyhwcB1WtggJCaiBY8sPQIaOEEH31zowHk/rCE0kCahpcM0X2ueTJLRuitoJ1ZoOw1S6n7fhHjVBkai54nop2K8wrAYokKHaRmFz9G1wKay54vHEcQyxAjIcXiB7ERWzZcUQHhfbphzEG3cPED9GVIcFBQuvLTqOgAFFRLb/0MCD0w+52lrAqAw9L7ZSqVrUbq4WMcOKESNGjBgrESudYTWpeLPSSmecE1rltgaOvBi+UFuMgmYauo3p3fOlZl2sQNCEhnVQruBto7lpw4W5U8mYl2a4SyIVjBba1jK0P2mIuz4uDJsABoqzwj26Un9nLcF6brZNly4jghJG02KYVpH6RQ3qOonbLfQexZIM9WY6jus85U68PpjjzO+lNzU3P1hnD2PAOo2QzJipWNw+cXEnyoteULoCTcjLC+I5wxCT1AuwCM/EBat8QAv9oLWntA2L8DwbTcpQEcMZ1rlNUA+o+i3qCZR9YPEbi/asY4fjGuoiMg1eNAflOSdSg1VIuOwGfn7UDEKX9ACxmO9R/JGx0ba2/mD2zQv9aREqH+Cz29/ljAAWMzqT33f7YETJi/bIxJjejRIEzpzQn2zm+tjTDIKVO2odv6RF6zElinZbILNCViUi0gXBgkkX2qeanpW1F/HMJE0gs6yJpIF3NJu4/uB6TMQAFZ/HHQSifETPew3GjPQs1HyRLUKQJXnXg4YhPRdkVsMHnQPH5MNmG2f83XEt5T+UlmCMGDFixIjxakX8wooRI0aMGCsRKw0J1nni16Loov7xrqvDsjU6RCCA+O3auiuxnymU1Om449b6hpSxR3U0vY6m86RCsaE1P5M1h9Fs6bat3NUDrXXN9RgS7Gr7kr5Lzy3ktO5gm+tV/PbbhdFq7JJYbaYCvzWpUKBuaovqkQBdwlFYRKTWWqtOx/Uny8x9rXAw/b6g++6vG0iuOyRR2zlcaal2Y2mOG6y58Z6WcJYlWFbr4iqqYwFEe6MSac6QLMKx7sRct+PIMyBuQCxXROTbCqV4dS96WyYaWKiCUKtiGJIpUHPV3wtrf/hc3K90nB0LF7FbMWBRhhPneo8qb3Ec7odut8UghCQBcXZoPEGI6BC0C+R3cpKg1Y7/U0QkaUBSoHuoay7DPBCLZZdmqzRBm5zIMLXF2r6Yn8XQfcABrXKbAAky2oyx4jowq+6QhQK/CZEQAK0uiHgDxLlLMBj64ZFnNrUtnAasSxBFi6CvXbnQZ8qkGKv+wTVp+t6yJY0Ht6KdcKKmejqMe59dmnOMN71Uib9PxFmEMGEEdYmshALoEDCgiMjanxp4cPRzzpqkHCTXJH4bM6wYMWLEiLESsdIZVjZrZMkS/Trt6SUuM+gr/Zvp6laPLwlngDwFZAUFxHqumn6cQViBNnccMrGTPafM8NxkW0REOtQWKDi8kDl+PhsdXnmPgWY6mz2XOR1ODU0+o6e5VLotmxviGkzOENCSKZsCOaNmA760ZWEUbGxqb6oZUTWlmazqFdY1T8N1NkqZXarU+sYTkGu8tnSIfNDT1KTHbBdtS05MB2QETEtONFErB/S8oUtHJBJrglhwhqPkFZoFW61BegdAZW7T8uu4x+eRLex9VYUAs2q+fz4ptZ1s1YGLuWt0NFvwdP4aqIlwqiO6jdpUhVkKqNacQQANYEJL0gflOlRIYMJGUoXzZYyFR165Yl/ZD0kFTKuveql3PPcNJBERkcVWC1FGo3/AiIeSLijL7cxBNqH3HLp9nhUNso+QAMLEl8URJTXpZ6S/R+SHxuwbvujQhfFpA/tw5o3n7JmDavMy6nfVNVkUv1PIVHtEcsHYjq93WRfMF9kiZLmRB20BdZ3fFWRWG3/krEkO7nqPtfp5JREzrBgxYsSIsRIRv7BixIgRI8ZKxEpDgiwWKiKyGJk0+cnDG+y2y/tm1TPZd4u32dykv2MqZEknJncuqQ7rgqbnsCMREXlutG22kUXHxQ2zEtnddfDA9y7tiIgPpT23b2C/guq/5lrf1Oy5tBtCnkxI+L/960REZLkwxx/0yVblwKzqJxnBdiPT32c6R+ym5dxsa8b02HUIx6Sa0KAmjIv9Vbi3puPyfR2zhWMVQFAY9iYiTnR2PnDsFYx3/5K73lShinwUiqY+uW+e6f9ccyaf/2ffKFjkhGV19L7nds/YbU6MlJQhOv5PEbdo3SfxW7toTeQM8D6YxMFEBAQIDkwIwPUYnrRCqnQ9536ceseIOJiHbTasHQfBlLZrHkQEAgqJnEL095KDeYqNkGyCGi5GbK3oLhEJrNUKQXf4qDH8tlDh481nHDQ2PamWNToWrBrBoq4IwF/zbdcowK5t4reMUcGtl+umEDXDvcMQ9uwModLhzkHfZsdCEsfkpNu2dl5VVk4QoeQKS5YZKbCAzDC6gT4/+qj4nUEsN4gwAvsX2mb7QaeiFq5Yc8dhvPmZofZwcor+nk59VRYRcjAeMxRqbnhwlyNdbD3wNSkbLsZ86VjJLyxYeFXFXCqSRqln5i9jMXGssXpqFgvqOWHnc8gCEbg/x4eRsPip+ctULejDPVno9WgRQu+RkLU7tuF4EZFKr8d/9KtKiwJnXMGq7eNCUpy7UNX0mmSOtIDX+8LSAslq6tpZL3QNYhZ+YSVC8kotX1hJo+2kAuda1yhqOrCpdNuc/qot0U56MZVNyGNba5trGsdanzXGccrFjrotoS8sPBdv3JdmG69B2C8s6iO+WJMi/MKq6A8YfueCx2oZjlkDZho9FpxT0VocMHxvG5ZF9V4ezo82kaQN+sZfWI3+YeJzbTt5W4L+uHcARfVem/RLtOG1LrQ9DfvDrFVbuN/SlrJkpwB9RxO0g9ZeipYvFu1jRcXw+MLyzgUTreB1NV1jbLmux3rUazf8xa9D5bkJFmFb7PP2tkGCjG6izap1vBteY7TXpb912rW29c+qE07MGvpT1+g5/J5LibGgNTn0m9d+bX9o/bTE9fjZtn1GOsH1yqaQUszzfyXWjCtp4Pjcc8/JmTNnXv7AGDFixIixEvHss8/KDTfc8JLHrOQXVl3X8s1vflPe/va3y7PPPvuyLpWv5Tg8PJQzZ87EfrwG4vXQB5HXRz9eD30Qif14JdE0jYxGIzl9+rSk6UvTKlYSEkzTVK6/3qxfbG5urvSLgIj9eO3E66EPIq+Pfrwe+iAS+/FysbW19fIHSWQJxogRI0aMFYn4hRUjRowYMVYiVvYLq9fryW/8xm9Ir9d7+YNfwxH78dqJ10MfRF4f/Xg99EEk9uOHHStJuogRI0aMGG+8WNkMK0aMGDFivLEifmHFiBEjRoyViPiFFSNGjBgxViLiF1aMGDFixFiJiF9YMWLEiBFjJSJ+YcWIESNGjJWI+IUVI0aMGDFWIuIXVowYMWLEWIn4f2o8uMohGzI1AAAAAElFTkSuQmCC", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "G.transform_coordinates(projection_type=\"pca\") # project with PCA\n", + "G.scale_coordinates(1) # scale to radius 1\n", + "G.plot(with_labels=False, node_size=10, bounding_circle=True);" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "flattened_ect = ect_arr.reshape(len(file_names), num_dirs * num_thresh)\n", - "D = distance_matrix(flattened_ect, flattened_ect)\n", - "plt.matshow(D)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " For visualization purposes, we can project this data into 2D using Multi Dimensional Scaling (MDS). Here we plot each figure at the MDS coordinates." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "n_components = 2 # select number of components\n", - "mds = MDS(\n", - " n_components=n_components, # initialize MDS\n", - " dissimilarity=\"precomputed\", # we have precomputed the distance matrix\n", - " normalized_stress=\"auto\",\n", - " random_state=5, # select random state for reproducibility\n", - ")\n", - "MDS_scores = mds.fit_transform(D) # get MDS scores\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " And then we can compute the ECT of this leaf." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_dirs = 50 # set number of directional axes\n", + "num_thresh = 50 # set number of thresholds each axis\n", + "\n", + "myect = ECT(num_dirs=num_dirs, num_thresh=num_thresh); # intiate ECT\n", + "result = myect.calculate(G); # calculate ECT on embedded graph\n", + "\n", + "result.plot(); # plot ECT" + ] + }, { - "data": { - "text/plain": [ - "Text(0.5, 1.0, \"MDS of Matisse's Leaves via ECT distances\")" + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Let's just make a data loader with all of this for ease in a bit." ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" }, { - "data": { - "image/png": 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", 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" + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def matisse_ect(filename, ect):\n", + " shape = np.loadtxt(data_dir + filename)\n", + " G = EmbeddedComplex() # Using the unified EmbeddedComplex class \n", + " G.add_cycle(shape)\n", + " G.transform_coordinates(projection_type=\"pca\")\n", + " G.scale_coordinates(1)\n", + " result = ect.calculate(G)\n", + " return result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " And now we can load in all the outlines, compute their ECT and store it in a 3D array." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "num_dirs = 50 # set number of directional axes\n", + "num_thresh = 50 # set number of thresholds each axis\n", + "\n", + "ect_arr = np.zeros((len(file_names), num_dirs, num_thresh))\n", + "ect_results = []\n", + "myect = ECT(num_dirs=num_dirs, num_thresh=num_thresh, bound_radius=1)\n", + "\n", + "for i in range(len(file_names)): # for each leaf\n", + " res = matisse_ect(file_names[i], myect)\n", + " ect_results.append(res)\n", + " ect_arr[i, :, :] = res" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Here, we are just going to compute the distance between two ECTs which uses the Frobenius distance by default." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "D = ect_results[0].dist_matrix(ect_results)\n", + "plt.matshow(D);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " For visualization purposes, we can project this data into 2D using Multi Dimensional Scaling (MDS). Here we plot each figure at the MDS coordinates." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "n_components = 2 # select number of components\n", + "mds = MDS(\n", + " n_components=n_components, # initialize MDS\n", + " dissimilarity=\"precomputed\", # we have precomputed the distance matrix\n", + " normalized_stress=\"auto\",\n", + " random_state=5, # select random state for reproducibility\n", + ")\n", + "MDS_scores = mds.fit_transform(D) # get MDS scores" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# read in color hexcodes\n", + "col_df = pd.read_csv(colors_path, header=None)\n", + "\n", + "scale_val = 6 # set scale value\n", + "plt.figure(figsize=(5, 5)) # set figure dimensions\n", + "\n", + "for i in range(len(file_names)): # for each leaf\n", + " shape = np.loadtxt(data_dir + file_names[i]) # get the current shape\n", + " shape = shape - np.mean(shape, axis=0) # zero center shape\n", + " shape = (\n", + " scale_val * shape / max(np.linalg.norm(shape, axis=1))\n", + " ) # scale to radius 1 then mult by scale_val\n", + "\n", + " trans_sh = shape + MDS_scores[i] # translate shape to MDS position\n", + "\n", + " plt.fill(trans_sh[:, 0], trans_sh[:, 1], c=col_df[0][i], lw=0) # plot shape\n", + " plt.gca().set_aspect(\"equal\")\n", + "\n", + "plt.title(\"MDS of Matisse's Leaves via ECT distances\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Acknowledgements\n", + "\n", + "\n", + "\n", + " This notebook was written by [Liz Munch](https://elizabethmunch.com/) and improved by [Yemeen Ayub](https://yemeen.com/) based on [original code](https://github.com/DanChitwood/matisse_test) from [Dan Chitwood](https://www.canr.msu.edu/people/dr_dan_chitwood)." ] - }, - "metadata": {}, - "output_type": "display_data" } - ], - "source": [ - "# read in color hexcodes\n", - "col_df = pd.read_csv(colors_path, header=None)\n", - "\n", - "scale_val = 6 # set scale value\n", - "plt.figure(figsize=(5, 5)) # set figure dimensions\n", - "\n", - "for i in range(len(file_names)): # for each leaf\n", - " shape = np.loadtxt(data_dir + file_names[i]) # get the current shape\n", - " shape = shape - np.mean(shape, axis=0) # zero center shape\n", - " shape = (\n", - " scale_val * shape / max(np.linalg.norm(shape, axis=1))\n", - " ) # scale to radius 1 then mult by scale_val\n", - "\n", - " trans_sh = shape + MDS_scores[i] # translate shape to MDS position\n", - "\n", - " plt.fill(trans_sh[:, 0], trans_sh[:, 1], c=col_df[0][i], lw=0) # plot shape\n", - " plt.gca().set_aspect(\"equal\")\n", - "\n", - "plt.title(\"MDS of Matisse's Leaves via ECT distances\")\n", - "# plt.savefig(\"Matisse_MDS.png\", bbox_inches = 'tight', dpi=300)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Acknowledgements\n", - "\n", - "\n", - "\n", - " This notebook was written by [Liz Munch](https://elizabethmunch.com/) based on [original code](https://github.com/DanChitwood/matisse_test) from [Dan Chitwood](https://www.canr.msu.edu/people/dr_dan_chitwood)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "base", - "language": "python", - "name": "python3" + ], + "metadata": { + "kernelspec": { + "display_name": "ect", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.12" + } }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.7" - } - }, - "nbformat": 4, - "nbformat_minor": 2 + "nbformat": 4, + "nbformat_minor": 2 } diff --git a/pyproject.toml b/pyproject.toml index e1e3690..897db80 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,6 +1,6 @@ [project] name = "ect" -version = "1.2.3" +version = "1.2.4" authors = [ { name="Liz Munch", email="muncheli@msu.edu" }, ] diff --git a/src/ect/__init__.py b/src/ect/__init__.py index 5a5f2bb..5487474 100644 --- a/src/ect/__init__.py +++ b/src/ect/__init__.py @@ -13,6 +13,7 @@ from .ect import ECT from .embed_complex import EmbeddedComplex, EmbeddedGraph, EmbeddedCW from .directions import Directions +from .results import ECTResult from .sect import SECT from .dect import DECT from .utils import examples @@ -25,5 +26,6 @@ "EmbeddedGraph", "EmbeddedCW", "Directions", + "ECTResult", "examples", ] diff --git a/src/ect/results.py b/src/ect/results.py index 83cf880..9dc6202 100644 --- a/src/ect/results.py +++ b/src/ect/results.py @@ -1,7 +1,7 @@ import matplotlib.pyplot as plt import numpy as np from ect.directions import Sampling -from scipy.spatial.distance import cdist +from scipy.spatial.distance import cdist, pdist, squareform from typing import Union, List, Callable @@ -319,7 +319,7 @@ def _plot_ecc(self, theta): def dist( self, other: Union["ECTResult", List["ECTResult"]], - metric: Union[str, Callable] = "cityblock", + metric: Union[str, Callable] = "frobenius", **kwargs, ): """ @@ -365,7 +365,15 @@ def dist( f"Shape mismatch at index {i}: {self.shape} vs {ect.shape}" ) - # use ravel to avoid copying the data and compute distances + if isinstance(metric, str) and metric.lower() in ("frobenius", "fro"): + a = np.asarray(self, dtype=np.float64) + if single: + b = np.asarray(other, dtype=np.float64) + return float(np.sqrt(np.sum((a - b) ** 2))) + b = np.stack([np.asarray(ect, dtype=np.float64) for ect in others], axis=0) + diff = b - a + return np.sqrt(np.sum(diff * diff, axis=(1, 2))) + distances = cdist( self.ravel()[np.newaxis, :], np.vstack([ect.ravel() for ect in others]), @@ -374,3 +382,30 @@ def dist( )[0] return distances[0] if single else distances + + @classmethod + def dist_matrix( + cls, + results: List["ECTResult"], + metric: Union[str, Callable] = "frobenius", + **kwargs, + ) -> np.ndarray: + if not results: + return np.empty((0, 0), dtype=np.float64) + + shape0 = results[0].shape + for i, r in enumerate(results): + if r.shape != shape0: + raise ValueError(f"Shape mismatch at index {i}: {shape0} vs {r.shape}") + + if isinstance(metric, str) and metric.lower() in ("frobenius", "fro"): + return np.vstack([results[i].dist(results, metric="frobenius") for i in range(len(results))]) + + if isinstance(metric, str): + X = np.stack([np.asarray(r, dtype=np.float64).ravel() for r in results], axis=0) + try: + return squareform(pdist(X, metric=metric, **kwargs)) + except TypeError: + return cdist(X, X, metric=metric, **kwargs) + + return np.vstack([results[i].dist(results, metric=metric, **kwargs) for i in range(len(results))]) diff --git a/tests/test_ect_result.py b/tests/test_ect_result.py index bea4584..701089b 100644 --- a/tests/test_ect_result.py +++ b/tests/test_ect_result.py @@ -90,11 +90,19 @@ def test_dist_single_ectresult(self): result2_modified.directions = result2.directions result2_modified.thresholds = result2.thresholds - # Test L1 distance (default) - dist_l1 = self.result.dist(result2_modified) - expected_l1 = np.abs(self.result - result2_modified).sum() - self.assertAlmostEqual(dist_l1, expected_l1) - self.assertIsInstance(dist_l1, (float, np.floating)) + # Test frobenius distance (default) + dist_frobenius = self.result.dist(result2_modified) + expected_frobenius = np.sqrt( + np.sum( + ( + np.asarray(self.result, dtype=np.float64) + - np.asarray(result2_modified, dtype=np.float64) + ).ravel() + ** 2 + ) + ) + self.assertAlmostEqual(dist_frobenius, expected_frobenius) + self.assertIsInstance(dist_frobenius, (float, np.floating)) # Test L2 distance dist_l2 = self.result.dist(result2_modified, metric="euclidean") @@ -119,7 +127,7 @@ def test_dist_list_of_ectresults(self): r.thresholds = self.result.thresholds # Test batch distances - distances = self.result.dist([result2, result3, result4]) + distances = self.result.dist([result2, result3, result4], metric="cityblock") # Check return type is array self.assertIsInstance(distances, np.ndarray)