{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" }, "colab": { "name": "Exercise_07_2_solution.ipynb", "provenance": [], "include_colab_link": true }, "accelerator": "GPU" }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "zhevd7m4MEoT" }, "source": [ "# Air-shower reconstruction using a fully-connected network\n", "## Cosmic-ray observatory\n", "In this example, we will train a neural network to reconstruct air-shower properties measured by a hypothetic cosmic-ray observatory located at a high of 1400 m. The observatory features a cartesian array of 14 x 14 particle detectors with a distance of 750 m. \n", "Thus, the measured data contain the simulated detector responses from secondary particles of the cosmic-ray induced air shower that interact with the ground-based observatory. \n", "\n", "Each particle detector measures two quantities that are stored in the form of a cartesian image (2D array with 14 x 14 pixels)- arrival time `T`: arrival time of the first particles\n", "- signal `S`: integrated signal\n", "\n", "In this task, we are interested in reconstructing the cosmic-ray energy in EeV (exaelectronvolt = $10^{18}~\\mathrm{eV}$) using the measured particle footprint and a fully-connected network.\n", "\n", "\n", "# Preparation:\n", "**Enable a GPU for this task.** \n", "Therefore, click:\n", "*Edit* -> *Notebook settings* -> *select GPU* as *Hardware accelerator*\n", "\n", "# References\n", "The tutorial is inspired by the simulation and the study performed in https://doi.org/10.1016/j.astropartphys.2017.10.006. \n" ] }, { "cell_type": "code", "metadata": { "id": "dc1W4fDQMEoZ", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "b42b98b6-8114-49e0-d9ef-a6e9c9a48e7c" }, "source": [ "import tensorflow as tf\n", "from tensorflow import keras\n", "import numpy as np\n", "import seaborn as sns\n", "from matplotlib import pyplot as plt\n", "\n", "layers = keras.layers\n", "\n", "print(\"tf\", tf.__version__)\n" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "keras version 2.6.0\n", "tf 2.6.0\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "qlKbYg4eMEod" }, "source": [ "---\n", "# Data\n", "### Download data\n", "As a first step, we have to download the simulated air shower data." ] }, { "cell_type": "code", "metadata": { "id": "afCf7h-HMEoe", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "42bcd761-d32d-4fef-bc32-37430f0fd091" }, "source": [ "import os\n", "import gdown\n", "url = \"https://drive.google.com/u/0/uc?export=download&confirm=HgGH&id=19gOSVQ0mhdjMkm5i2u5NsGrWNBdlhR4F\"\n", "output = 'airshowers_mnist.npz'\n", "\n", "if os.path.exists(output) == False:\n", " gdown.download(url, output, quiet=False)\n", "\n", "f = np.load(output)" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "Downloading...\n", "From: https://drive.google.com/u/0/uc?export=download&confirm=HgGH&id=19gOSVQ0mhdjMkm5i2u5NsGrWNBdlhR4F\n", "To: /content/airshowers_mnist.npz\n", "100%|██████████| 64.7M/64.7M [00:00<00:00, 88.9MB/s]\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "lpTcoB3xMEof" }, "source": [ "### Input 1: Arrival times\n", "Our first input is the arrival times of the first shower particles, measured at the various stations. We normalize the arrival times with respect to the mean and the standard deviation of the arrival time distribution. \n", "Remember that each input has the shape of 14 x 14, as each station measures a specific arrival time.\n" ] }, { "cell_type": "code", "metadata": { "id": "Im1FDnqBMEog", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "876785d1-1be2-47c7-9ea9-9cbd74e779a5" }, "source": [ "# time map\n", "T = f['time']\n", "T -= np.nanmean(T)\n", "T /= np.nanstd(T)\n", "T[np.isnan(T)] = 0\n", "\n", "print(T.shape)" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(100000, 14, 14)\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "3p35M05lMEoh" }, "source": [ "#### Plot four example maps\n", "To visualize a map of arrival times, we can plot a random example event. Here, the dark blue indicates an early trigger and a bright yellow a late trigger. \n", "With this information, one can directly get an impression of the shower axis (arrival direction) of the arriving particle shower." ] }, { "cell_type": "code", "metadata": { "id": "FRw8E9H7MEoi", "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "outputId": "5e046f7e-1878-48af-eb3b-d0ba524ff0d5" }, "source": [ "nsamples=len(T)\n", "random_samples = np.random.choice(nsamples, 4)\n", "\n", "def rectangular_array(n=14):\n", " \"\"\" Return x,y coordinates for rectangular array with n^2 stations. \"\"\"\n", " n0 = (n - 1) / 2\n", " return (np.mgrid[0:n, 0:n].astype(float) - n0)\n", "\n", "plt.figure(figsize=(9,7))\n", "\n", "for i,j in enumerate(random_samples):\n", " plt.subplot(2,2,i+1)\n", " footprint=T[j,...]\n", " xd, yd = rectangular_array()\n", " mask = footprint != 0\n", " mask[5, 5] = True\n", " marker_size = 50 * footprint[mask]\n", " plot = plt.scatter(xd, yd, c='grey', s=10, alpha=0.3, label=\"silent\")\n", " circles = plt.scatter(xd[mask], yd[mask], c=footprint[mask], \n", " cmap=\"viridis\", alpha=1, label=\"loud\",\n", " edgecolors=\"k\", linewidths=0.3)\n", " cbar = plt.colorbar(circles)\n", " cbar.set_label('normalized time [a.u.]')\n", " plt.xlabel(\"x / km\")\n", " plt.ylabel(\"y / km\")\n", " plt.grid(True)\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "kA707hclMEoj" }, "source": [ "### Input 2: Measured signals\n", "In the following, we inspect the measured signals of the detectors. Again, we have 14 x 14 measurements (a few are zero as no signal was measured) that form a single event. We process the signal using a logarithmic re-scaling.\n" ] }, { "cell_type": "code", "metadata": { "id": "41_XzMnyMEok", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "7e73518b-f4e6-4921-b01f-2ae4e88efece" }, "source": [ "# signal map\n", "S = f['signal']\n", "S = np.log10(1 + S)\n", "S -= np.nanmin(S)\n", "S /= np.nanmax(S)\n", "S[np.isnan(S)] = 0\n", "\n", "print(S.shape)" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(100000, 14, 14)\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "8MH4JaVhM0AA" }, "source": [ "#### Plot four example events" ] }, { "cell_type": "code", "metadata": { "id": "AAS9bA1kMEom", "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "outputId": "c8e57d19-0d7d-4d6c-c503-e1878a592afa" }, "source": [ "plt.figure(figsize=(9,7))\n", "\n", "for i,j in enumerate(random_samples):\n", " plt.subplot(2,2,i+1)\n", " footprint=S[j,...]\n", " xd, yd = rectangular_array()\n", " mask = footprint != 0\n", " mask[5, 5] = True\n", " marker_size = 130 * footprint[mask] + 20\n", " plot = plt.scatter(xd, yd, c='grey', s=10, alpha=0.4, label=\"silent\")\n", " circles = plt.scatter(xd[mask], yd[mask], c=footprint[mask], s=marker_size,\n", " cmap=\"autumn_r\", alpha=1, label=\"loud\",\n", " edgecolors=\"k\", linewidths=0.4)\n", " cbar = plt.colorbar(circles)\n", " cbar.set_label('normalized signals [a.u.]')\n", " plt.xlabel(\"x / km\")\n", " plt.ylabel(\"y / km\")\n", " plt.grid(True)\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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yj+XmYWAagIj8DUQDvi2cfBFSXP3L35i++J4Z8tX3yFwxfSJw3/OVPsCPIuLweqafhM3r3XLlyhEXF0dycjKxsbE+NfOGQhuMmKtWrTLcpK2UYtCgGYwePZgSJY7jdDZlyJDPDMW7975XGD/uEBYWkJkF1sibGfLkcK+62NhYLq3zMp9+/R4tm+xi09ZLKRnzMC1btvaq7d1vFO98uou7b15L+Rgn0+fWpk2H170OAlFK0eXGUbz/ydO0vzyRU6cjWLu2P8Oee9RrzGrVqtGk2XhGffg6JUrYSElpwBNDJnnV5RDKsuCP1icCf82xGmiolKqLq7LXB8hf+/8XuB74RinVBFel73jAkcOc4upf/sb0xffMkK++R+aK6RPBeb1r5IE3hz7AE0GJWghhU+kDVyHw9xcfCm2gMaOionzSV6tWneefn+VzLIvFwpNP/+/cAAyjI2gBut/yMGfP9mPHjh3ce1VdypYta0h3afWavPDa3yyc/zMb9x+n/6B7DT/JtYnrRKvLE0hMTCTj6FGeGf604XyvvqYnV1/T0/D5+QlVWbhglT0ISt8WEclSSg0B5uEawfaViGxWSr0JrBGRmcCzwBdKqWG4BnUMECOjfjTF0r/8jemr7wUaMxCtvkfmjGmI4PXpM/LAi1KqMVAe+DsoUQsh5JW+7JEta4CDInJLqPPRFI4vlb3clCxZkpYtW/qsi4iI4MZud/sV02q10qJFC06eLNg3UOMHQegIIiJzcE3DkvvYq7l+TgQ6Bh6peKC9T6MxOcHxPSMPvOCqDE650A+6Ia/0AU8DWzg/VYNGozEbJpqZXimV4u0U4LCINCqKfAJAe59GY2aC5HveHniz91/3mEqQfC+kAzmUUjWAHsCXocxDo9F4IQjzVQWRXSIS42ErC5wu0ox8RHufRlMMCEPfC/Xo3Y+AEYAzxHloNJrCMGJ8RWt+nid5NH5OKNHep9GYmTD1vZC93lVK3QIcE5EEpVRnD+cNAgYBVKlShfj4+KJJMB9paWkhi10YZsvJbPmA+XIyWz6GCfXjYS5yJjkN9JxQob0vMMyWD5gvJ7PlA+bMySth6Huh7NPXEeiVvah6NBCjlJokIv1zn5Q9583nAG3btpXOnTsXeaIA8fHxhCp2YZgtJ7PlA+bLyWz5GMZEffo8oZT6XER8nRS6qNHeFwBmywfMl5PZ8gFz5uSVMPS9kNVjReRFEakhInVwjVpZmN/0NOGDPwOSRITExETWrF6F3W6/AFlpDGOu1xye+F+oE/CG9j6NppgQhr5nhtG7mmJAZmYmS+LnEBERydXX3uR1kuQcZkwew4EtUyghh7FTkXK1etL/kVe9Tv+yYuk8/p79OpdXXk+ZEhl89XMTYhvcS9+HXvIa8/ChA/w46TUinTu5pM59/D5rP9163mcoX4CkpCSOHDlCo0aNDH/PsMZc5uYREUkIdQ4ajSYMCFPfM0WlT0TigfgQpxH2JG5ew9w5wyldykba6boMfPRrQxMeJ25O4LcZD9Hzuk1kZVl4943LufehKdSu08Cjbso3I2kS8SZ33Hw2+8g+9h7ZwBdjbAwa+mGhuj27drD1j4EM63p+ucJ2lyWyfs9b/Dy5LLf3fbJQ7dEjh/n+424MvWszEREQf7AXZVNe4/uv9nLvQ694zFdEmPD5c0QxnVrVj/P7zMvo2GkU7a+4waMuhxk/jeXo0V/IyoqgTZuhdLy6uyFdscBEfVtyUEotwjWJcx5ExPuaeyZBe59GY2LC0PdMUekLFjabze8lWUKhDTSm3W7HZrMZ0p45c4bf5wzg2aGbAcjIWM/Y8Q6GP/+rV+3vM59n+KMbs/ccNGucwEffPMswD9qsrCxO7JpMq+5n8xyvUzWLiE2/kpLyBjEx7qcn+23quzzWcX+B45fXPcvihZPBQ6Xvp+//y1N3uip8OcQ1OU3CrEmcOfMspUqVKlS7eNEsWjX8hHZt0gHofPUGPvzf88S1u85ri9+ff/xA1aovc8cdqQBMnLiZqlXnU79BE4+6HEJVdg1jzife53L9HI1r5FpWiHIJKcXRv/yN6YvvmSFffY/MF9MwYeh7YVPps9lsJCQkYLFYcDqdPq07GAptMGJmZGSQkJBgSLtjxw46tN96br9ECShdapvXWA6HgzLRO/IcUwqiLFsLUbg4dOgQ9SvudftZXJ09JG7eyBVXXu3288isfymsjhVj2Y/dbicqKsrt51bHLqIiCx5vVWcHW7dupU2bNoXmvDVxDoP7p+c51rLJVnbt2kWjRp7n+d21awGDB6ee27/99kNMmTqd+g1e9aByEaqy6xMmND83rzSWKaVWhSSZEFJc/cvfmL74nhny1ffIXDF9Igx9z4SNl/6RnJyMxWIhJiYGi8VCcnKyqbXBiGm1Wg1rq1Spwq495fNeJ6XwVq8cLBYLGZkVChw/ne55Dd3y5ctzNMX9H+CeY2WpWq1GodpMyhT62RlHWSIj3dTqsrE73Lce7j1SnmrVqhWqAygbW5eTp/Llur8CVatW9agDiIqqSlLS+f3ExChiY6p71UHoyq5hzDdflSstpSrk2ioqpW4CjC3QHEYUV//yN6YvvmeGfPU9MldMw4Sp74VNpS82Nhan00lKSgpOp9NQX7VQaoMR0+FwGNZWrVoVh3MwP0yJYdMm+HDspbTv8LJXnVKKS+vcz5KV5ytis/8sS4PGD3nUlS1bliS5krMZeY87HPDP0bbUqVOnUO1lbfuydld0geNn0kFirvI4CKTdtYP4c1Xeyu3ZdNiVdIXXSt/tdz7JuK/acSJ7ud6lK0qQyV2FvobOzb39X2XM2Bv5+efSTJwYy68zb+LGm4zNDxyqsusTFgNb0ZOAa+3aBFyLlD8LPBySTEJIcfUvf2P64ntmyFffI3PF9Ikw9D11gdf2DSpt27aVNWvWFPr5hewb4GmOoVD1ZVi1ahXt27f3Sbtx40Z27NhM69YdqFevnmHd4kUzWbt6Ina7g7gOD9D1htsKnJP/HqWmpjL+/3rTvuYy2jRIJfHfaOYntubRET9RparnCtino56kPhPp2jIFiwW27I/kx01X88xbsyhdurRH7awZn7F302c0qraDtJh32L55AUNGTKJsWc+tk+Dq+zj5+1GcPLGDFpffxs033+VVk4OIsHnzZjIyMqhfv75P5aio+rUopRJEpK0v128bo2RNB+/nqfn4fG2NMczofaHq/+WP713ofPU9Mvc90r53nrDp0wdQrlw5v9/ph0IbaMyoqCif9S1btqRly5Y+x+vUpReduvTySVO2bFleeGcumzas4fcNf1G/eRteefgar9O1ADw2fBybNz3E/+Z+gZIM6ja7kf+8fzcWi/dHq553DMZx60D27t3L3r17efG/TxnOuVSpUjw88DXD5+dGKUXz5s390oaq7BrGhH1b3KGUqioiR0KdR1FTHP3L35j++F4gMQPR6ntkzpiGCUPfC6tKn8actGjVlhatfH8QataiNc1afOJXTKvVSv369dm/v+AoYI2PFKP5qoAJQI9QJ6HRaIo5Yep7utKn0Wi8U0x6/4qIrvBpNJrgEIa+V0y+kkajCSkmHMV2LjWlKiulauVsoctEo9GEFUHyPaVUN6XUNqXUTqXUC4Wc01splaiU2qyU+sHANf3yPd3Sp9FovGPC1xxKqV7A+8ClwDGgNrAFaBbKvDQaTZgQBN9TSlmB8cANwAFgtVJqpogk5jqnIfAi0FFEkpRSlT1cLyDf0y19GtMiIhw6dIh9+/Zht9tDnc7Fi0nnqwL+C1wBbBeRusD1wIqQZKLRaMKL4Plee2CniOwWETswBbg13zkDgfEikgQgIsc8XC8g39MtfZoLhoiw+I9Z/PPnd0TYk3BElqXuVXdx0219PC5rJiJMGf8ex1b8Sp3T24iSLOZE1sDZ4Br6v/CuofmYRITU1FSK05REpsacj4eZInJSKWVRSllEZJFS6qNQJ6XRaMIEY75XUSmVez6lz0Xk81z71YHcIwoPAPkng2kEoJRaBliB10Xk90LiBeR7utKn8YrT6eTPudPZvXkWIhaatr2bTtfd4nHqlaysLEY/04duztkMqXR+hubtS2bzzu/f8uzYXylZsmQBnYjw4bAHuOPYZOqUynKtLAhAIhlHEhn9yFqe+OKPQofpiwjTv32fI5unUzFiH1HNXuajVz/lnsEfUu1SYytkOBwO0tPTvc4HeFFhwte7gE0pVQZYAnyvlDoGnA5xThqNJlww5nsngjBPXwTQEOgM1ACWKKVaiIjNzbkB+Z45n981F4R9e3cy9sN+fPbxDXz68VOcPXvWq8bpdDLqtT7UTLuPxzp/z+NdvqPsod6MHTnQYyva16Oe56HoGVxeKe+SHI0qZDG00p988cZgt7pZ339FjyNTXBW+fJSwwvAyq/nmtScKjfvNxy/R4szLPNVxFf06HKVimQyebDWdie/0ICn3OmmF8P23b/DZ+6346euGfPD2taxf+5dXTQ6bNq7k0/GP8sn4Jzhy+JBhXbHAnK93bwXOAMOA34FdQM+QZKLRaMKP4PjeQaBmrv0a2cdycwCYKSKZIrIH2I6rEuiOgHwvrFr6QjH7eSDaQGPa7XZsNpsh7ZkzZ5j83e08P/QflIK0tPl8/NF+hr/4s0fdnF+/4/ZWP9Oo1vlKWNxl6WRm/cDff93DVdfcUEBjt9vJ3D6PynXcVwrLlIBye+NJSkqifPm8S6btWTiFXmUyC80nygqx+5efu2+5SUlJQQ5MpcmVeSuaVisM6biBH755h4HD3iv02rN+mUCLmu/S8sacyvBhPvxqEJc1SXDbKpmbdWuX8s/Gvjz26EEcDnh31EIGDlpMpcqF9sfNQ6jKriFMOl+ViOQ83TqBb0OZS6gpjv7lb0xffM8M+ep7ZL6Yhgie760GGiql6uKq7PUB+uU75xegL/C1Uqoirte9u91dLFDfC5uWPpvNRkJCArt37yYhIQGbzV2rqHm0wYiZkZFhWDv3t4kM6Oeq8AGUKQM1qi3j+PHjHnX/bpubp8KXQ4emZ1m/YopbzdatW7k8YqvH614b+y8r4ucVOB5t2+NRB3CFZS/rV/1d4PjiP3/hxobu9aWjwXFqrcfr/rv7V1o2ydv62fvmLcyb63X0PH///Rn39Xc9vFmt8NwzW5k6tfAKZm5CVXZ9wkRrUCqlZgfjnHChuPqXvzF98T0z5Kvvkbli+kQQfE9EsoAhwDxco2ynichmpdSb2SNxyf7spFIqEVgEDBeRk7mvEyzfC5tKX3JyMhaLhZiYGCwWC8nJyabWBiOm1Wr1WZsb54Uc5GBgqbUAAxg8dh7v37ag3nWL/Psu6RkZ3k8idGXXJ8z1evdqpdRMD9ssoGmRZhRCiqt/+RvTH9/T98jc+ZrW+4LkeyIyR0QaiUh9EXk7+9irIjIz+2cRkWdEpKmItBARdy0qQfG9sHm9Gxsbi9PpJCUlBafTaWiEZyi1wYjpcDgMa7vf8gAfvDuOl55NRClITYW9BzpQqVIlj7rajXuw7d+fuCxfa9/fm0vR+sq+bjWNGzfmy8zLuIrNhV53cXJtenW+qcDxjAr1cXVRKJwVzjrc0f6KAsc73XAr09+qy8MVC7b2pZ2FyEviPF63ToPbWL/5Dy5vln7u2OTZjRgywv33zM1VVz3O198s5sEBB8nKgjffqs2DDz/tVQehK7uGMd/r3fzTHbjjopnjp7j6l78xffE9M+Sr75G5YhomTH0vbCp95cqVIy4uzq/3+6HQBiPmqlWriIuLM6QtWbIk9z04k/c/fRGrOoI1sjnPPPe+V93Nve5l9Bu/0T1rBs3rufrardoSzZpj/XjywevdaqKioohsdDNHkxKpUrpg+1pqBiRX7VygPx9A3evuYeuvi2hc1n2/vgwHpNS62u0feExMDNZafUk8+AFNq5+vuDkc8PGyVgx+60WP37VHrwf5YeIBFq+aTKnoJE6l1adbr/e89ucDuLx1RyIjf2bs+M9IT3dy/4DnqV+/gVcdhK7s+oSJzE9EFoc6BzNRXP3L35i++J4Z8tX3yFwxfSIMfS9sKn3gKgT+/uJDoQ00ZlRUlE/6WrXr89yIaT7FsVgsDH99MgvmzWBp/K8Iihbt+/Dk/d08Ttny0IiRjK1n8bAAACAASURBVH5mH11PzyKu8vkK2NZTkfx45jqeHfupW90tfR/kw9WLiTryA/VK521dTM+C0afb8+RHHxcad8CQt/lxYkX+/GsKFaz7iW5RgnHb72HAfz4wdK/63f8KTud/sNvtREdHez0/N82at6NZ83Y+aXIIVdk1TNh0BAlPiqN/+RvTV98LNGYgWn2PzBnTMGHoeyGr9CmlagITgSq4ult9LiJjQpWPpnCUUnTtdiddu91pWGO1Whnx0VT+WjCXj+d9Q4TdhiOyLPU738VLt96DxeL+r0kpxbAPvmHqp82ZuewXap3eRgnlYF9EdaThtTz1wkhiYmI8xr7r/mGIDOXMmTOsXr2au/sP8en7WiwWnyt8YY+JnniLO9r7NJpiQhj6Xihb+rKAZ0VkrVKqLJCglPoz93p0muKNUoprunbnmq7dfdb1eXw48thzHDt2jMzMTG6sUoXIyEifrqEnVw4S5uvbUgClVHmgpohsDHUuBtDep9GYnTD1vZBV+kTkMHA4++dUpdQWXMuVaOPTAK6KW5UqVUKdhgZMaX5KqXigFy4fSwCOKaWWicgzIU3MC9r7NJpiQhj6nin69Cml6gCtgZVuPhsEDAKoUqUK8fHxRZnaOdLS0kIWuzDMlpPZ8gHz5WS2fAxjzr4tsSKSopR6BJgoIq8ppYpDS985tPf5jtnyAfPlZLZ8wJw5eSUMfS/klb7sNeR+AoaKSEr+z7MXLv4coG3bttK5c+eiTTCb+Ph4QhW7MMyWk7t8UlNTmf3tBFKOHqZkufL0GDCQSy65xON1HA4Hf0ydyo4ffqDEvn2I00lWxYrE3Hgjdzz9NGXKlAkop1BitnwMY8InXiBCKVUN6A38J9TJ+Ir2Pv8wWz5gvpzMlg+YMyevhKHvhbTSp5SKxGV634vIjFDmogkuGRkZfDF8CCVXL+T21N1UiIBUB/w67RNONL+ahz78zO2AjBPHj/PpXXdx999/c3Nm3mlbTi1ZwpeTJnHVxx/T/nr308VoLgBB6tuilOoGjAGswJciMtLNOb2B13ENcNggIvmXK8rNm7hmsv9LRFYrpeoBOwLP9MKjvU+jMTnm7dMXkO+FcvSuAiYAW0Tkg1DlofGO3W5n5vQvOL57MQLUaNyN7rffT0SE++Jjt9sZ1bcXT+74g1gr50pZWSv0z9hP+urJjL57L0N/+iNPq93Zs2f57LbbeGH5ctwN2agADN26lW8feYQyP/5I0zj3ky0vmjeDjYsmEJ15gAqtH+N/o2bSb/AblC1bNqD7cFEToPkppazAeOAGXIuLr1ZKzcw9eEEp1RB4EegoIklKKY8LF4vIdGB6rv3dgPEh5iFCe59GU0wwYaUvUN8LZUtfR+A+YJNSan32sZdEZE4IcyoWiAhHjx7F6XT6pDt65DAzpr+NkqOUKtuKe/oNp0SJEh41KSkpjHm5Bw/G/UWNNq5ju4/8xDvDpzD8nZlupzaZNPJNHtv+B7GFlK5oCzx7+G++fHEYT4774tzxnz76iMGFVPhy88DevXz05ps0/fXXAp9N/uL/qHV0JE+3TAUgPvo0PSp+yAcjlvPUu394ne5l5d9/snLpeKIibGTRiH4DRlKhQgUvGblwOBzs3LmT6OhoateubUhTbAi8b0t7YGe2QaGUmoJrhvncgxcGAuNFJAlARI65u5BSahweVtUTkacCzvbCor1PoykOmKhPX7B8L5Sjd/8iyPVom83m9+zcodD6o0tNTWXMmNto2nQdDsfrTJy4jPvvf8Wr7sSJE0z8oitPP5RIVBScOPkj74/8mxdfne1xkuWJ455heJe/iI46f6xeVSdPx/zJxE/+w6Bn8q7q4XQ6SV36O5d4KVklLRC5bilnz56lZMmSiAgnZs+motdv4uLSlSs5dPAgl1avnuc7Zm39hI5xqXnOLVUCnu2wkm/G/4fHXhxX6DVXrZjP4S3381S/IwDY7Yt59/1NvPjG0kJbNXM4c+YM74/uxVVXLic1NYKpU25h+IjvPd7b3ISq7BrG2NeoqJRak2v/8+x+aeAanbo/12cHgA759I0AlFLLcL0Cfl1EfncTZ42bY8WGcPG+UMW02+3YbLaw9fhgxNT3KEiYq6UvKL4X8oEcwcJms5GQkIDFYsHpdPq0BE0otP7qJk16nmeeWUipUhAfn8m+fR+wefMdNGvWzKPu5+nvMuQBV4UPoOIl0LndIlavWkL7Dp3cakQEbMvzVPhyiCkF9mNLCxzfsWMHLQ4nGipZnU5sY8WihXTp3oOkpCSq7dzpXZTNjUePMnfaNPoOG3bu2KzJ4+jd7KDb80tGgeP4co/XXLl0PE/2PXJuPyoK+nVfxe+//cAtt97vUTvpu1cY+vQCct4gb9w4nZ9+6sJddw30+l1CVXYNY7xvywkRaRtApAigIdAZqAEsUUq1EBFb7pNE5NsAYoQdxcm/ghEzIyODhISEsPX4YMTU9ygImKxPX7B8z0SNl4GRnJyMxWIhJiYGi8VCcnKyqbX+6pQ6SalS5/cbN05m927vlSVH1lHyLyF7Wf2z7N2zqXCNw0EJlVbo5xGSWuDY6dOnKZOZ7ubsgpSxwGnbKcDVn6+03eta0ecoBZzJd8/sZ5Io7WEhjUg57fGaURFJBY7Vrenk0MEtXvNxOk+Qu8tg48ZZ7Nu32asOQld2fUIZ2DxzEKiZa79G9rHcHABmikimiOwBtuOqBLpPSalKSqnRSqk5SqmFOZvxLxUeFCf/CkZMq9Ua1h4fjJj6HgWJwH0v+CkF6HthU+mLjY3F6XSSkpKC0+kkNjbW1Fp/ddWqdWLt2vO1tzlz6tCmjffGlarVr2HnHmueY78tqMq1nQrv/xkREcFZS81CP7dHFPzs0ksvZV8pYy9p91pLUrNREwAqVKjAMS/97XJzUCmqNsxbH6jeII5dx6yFKCA9onqhnwFkSiPy1zvnLY3h6k59vOZTu3YXVq06vwLI5CmXcO21d3nVQejKrk9YDGyeWQ00VErVVUpFAX2AmfnO+QVXKx9KqYq4Xvfu9nDN74EtQF3gDWBvdpyLiuLkX8GI6XA4wtrjgxFT36MgEbjvXQgC8r2web1brlw54uLi/Hq/Hwqtv7pbb32cadPOsGzZXCpViuH226dQvbrnygxAr9seZszopTTcNYvmjWwsWl6dMpWGUrVaNY+6mi37svHfdbSsdTbP8b93xNDkqgcLnF+1alUONWoL2+Z6zWltrTY8lT0Ct2TJkqS2aQP//utVBzC3SRMeufvuPMe63Xov7z81hucrrytw/j+HSlIn7h6P1+w3YCTvvr+Je3usok4NJ/OWxrDv1ABubtbKaz43dx/AtKknWLnqZ86mQ7Nmj9Gu3dWGvkuoyq5PBPhEKyJZSqkhuKYasAJfichmpdSbwBoRmZn92Y1KqUTAAQwXkZMeLnuJiExQSj0tIouBxUqpi67SV5z8KxgxV61a5fOrPH2PzJ2vab0vSC153qarUkoNAEZx/u3HxyLyZSGXC8j3wqbSB65C4O8vPhRaf3W9ez8HPEd8fDyXX97ekMZisTBsxER27dzOth0b6NXvOq+TJAPc3m8I3312gpVLv6dL/Z04nLBod2MuafoId/fo61Zzef9BLH5tBZ2cBV+X5rCBUtS57d48Ax3aPvoof82fz9Vphb9SBkgG1HXXERWVt7NhREQEtz7+Fe+Of5C+TTdQ6xJBBGZsrMTJSvczsM8gj9etUKECL76xlN9/+54/127hmi59uLnZ5R41uel9j+v34g+hKruGCNJrjOzRqXPyHXs1188CPJO9GSFnIsfDSqkewCFcM/tcdBQn/wo0ZlRUVLHKV98j88U0RPDmJ/U6XVU2U0VkiIFLBuR7YVXp03infoNG1G/QyCfNfYNf5/Tp4Sxb/DtWayQDHrjR7VQtOXTqeRvTdm3n92/f5SbnKfIPYF3uLE1iz8d4ZOBjeY537NaN/z3yCOU/+4xm6e77BaYCY7t0YcTo0W4/b9z8cuqPXcXsH79i7t61XFKvCu0Gr6R2nbqGvmtERAS33PqAoXMvKkzUoTkXbymlYoFngXFADDDMs0Sj0WgMEhzfMzJdlS8E5Hu60qcxROnSpbmxu/F5b3sPHUFCuysZ++U4SmxJoJw9jZTIkpxp0IrW/R7hkR493eoe/fBDplSuTPwPP9Bz82ZqiWtaojRgRs2a2Lp04bnPPvM4v2BkZCS3930UcC39Y7TCp/GACXv/isjs7B+TgS6hzEWj0YQhxnzP01RVYGy6KoA7lVLX4hrANkxE9rs5J2Df05U+zQUjruM1xHW8hqysLNLS0ihdujSRkd6mXoY+L75I5nPPMWvCBOauXQsOB1GXXsqtw4YZnihZE2RM2NKnlKqEa0LnOuTyMhF5KFQ5aTSaMKJopqoCmAVMFpEMpdSjwLfAdW5TCtD3dKVPc8GJiIjwud9FZGQkdwwefIEy0viEyearysWvwFJgPq6BHxqNRhMcgud7Xqeryjdg7UvgPQ/XC8j3DFf6lFIx5K1VnvI1mEajKaaYs9JXSkSev9BBtPdpNBcpwfG9c9NV4ars9QH65QmjVDUROZy92wvXlCyFEZDvea30ZTc1vgGkc37dNwHq+RtUc3Fx4MABDu7fT+WqValb13j/OhFh9+7d2O126tat63HwiOYCY8I+fcBspVT3C7VmrfY+jeYiJwi+Z3C6qqeUUr2ALOAUMMDDJQPyPSMtfc8BzUXkhD8BNOGBiLBr1y6sVit16tQxtKbs+pV/Ef/tW9ROXUOdiJMkZsUws1Qcbe96ho433OIx1vQv3ufwiuk0lkSiVSaLs+rgqN2ZB1/8gFK5lyQpBIfDwcGDB3E49Fu/oGDOlr6ngZeUUhm4pjFQuGZ+MT7Lt2e092k0FzNB8j0D01W9CLxo8HIB+Z6RSt8u4IzBZDQmZ+eOrezcsYF2HboamqcPYMHcKfyz9EOaVtyMQyz8erIF7W/6D1d16l6oJmH5YrZ8ej9Da/wL2ROltyYFWMTsHxJZcHYM1/dyP1ny528/Q6ejn9K7esa5Y53YRpp9G+8/sY3hn8712Or346T3ObxlEvXK7yW9+hu8/+rH3D/kf1SqXNnQ9z1y5Aj7/91Hy1aXexwlfNFg0j59IlLW+1kBob1Po7lYCVPfM1LpexFYrpRaCZz7LywiTwUSWOMfIsK337xMRsZflK/Qn00bS9KipbvR33lxOp2M/eBBGtaYSbPLbMyaWpOyFYdxZ2/P0/skrFzM6U1P8/QNx84d68ZyJsU/SqWqv9PwsmZudUu+fp1hNdyvrnFL1aOM+fFdutxyNxZL3vbzndu2Um3nRBrXzCigKxMFj1eIZ+pn7/HA0FcLfA7wy9SPqWd/lbtucv2vjk/J5NbOvzBy5FFeGv1XgXi5ERE+/fhxKpadQb3ax/jf2Ca0bv8O13S6tVDNRYMJzU8p1cbN4WRgn4hkBSGE9j5NkSMifP31S9jtKzh7thQ9e46iQYOmoU7r4iQMfc/IG+v/AQuBFUBCrs102Gw29u3bh81mKxZaf3RTJr9Lx46jePTRJVSunMKCBf0N6ef+9j3drv6BHjfYqFMLBtyzn7STH3DihOc3V3/9PoZe7Y4VON7v6gP8/qP7AUaJmzbQMtNzEbmh5D8snPNLgePzvvuAHtUL7yd/SSlISfzD7Wciwr6Nk2jTIG/jTEQE3B23mj9+m+oxpz9+n8Y1bb6i923HaNsanhq4hYSVL5OZmelRl5uiLAvB0BrGnGtQfoLLl77I3lYA04FtSqkbg3B97X0mjGm328Pa47///r906TKawYPjGTp0DtOn9+bs2bPehblihvs9CobWEGHoe0Za+iJFxOiySCHDZrORkJCAxWLB6XT6tO5gKLT+6pKTV9Ow4flKyHXX7WTlymXcdFMPj7r9++LpcVXeh4DrOh5gxfK53NLrvkJ10XLI7XGLBaKcB9x+tmvLBtqUSfWYT+Pymfy1eS3cckee4xHpJ7CW9CglKsN9RTUjI4MYq/ucLquZxaLVfwPul44D2LNrATf1t+c51rrZDnbs2EHTpt6ftIu6LASq9QkTPvHiWn7oYRHZDKCUagq8CYwAZgDunw6Mo73PhDEzMjJISEgIW49PS0ugbl2XVysFV1yxgw0bNnDFFVcYjhnu9yhQrWHC0PeM1FPnKqUGKaWqKaUq5GyBZh1skpOTsVgsxMTEYLFYSE5ONrXWX53TWZkzuRqyNm6MpWzZ8l51pUrXISnfw9A/W8vSoKHntWUzPfQNzZRYt8fLV6rG8XSrx+ueOAPlK1crcDzL4qXGBzis7gdylChRgtNZ7nM6lQJlylX3eN2ysfU5ma+RcceeSlSv7lmXQ1GXhUC1hlEGt6KnUY7xAWSvZdk4Z7mjIKC9z4QxrVZrWHt8VlZFcq9CuWVLOUqW9O6LuWOG+z0KVGuIMPU9I5W+vmT3beH86401HhUhIDY2FqfTSUpKCk6nk9hY9//8zaL1V3f/A6N4b1RnJk2K5ejRSPYf6GOoFeqOu4cxZkJrbNl/F9t3WVi/7SYaN2nhUXdp49vZdiCqwPGV20rRpP29bjVXXnsdSzM9X/fXU/Xp3ntAgePNu/Zl3YnCB09kOkCqt3P7mVIKa4Uu2Nw0Mk5cUp/b7nnCY0633/kkYyd04PAREIGFS6LJstx9wX+noSq7PmFO89uslPpUKdUpe/sESFRKleD8ouSBoL3PhDEdDkd4e/z9HzJy5LV88015Ro6szpkz/aldu7ZPMcP9HgWqNUwY+p4SEc8nKGUREWe+Y9Eikl6Y5kLRtm1bWbOmcM+12WwkJycTGxvrczOvN218fDydO3cOalx/dSLC3r172b59Ox06dDCsTU1N5YdJ75CavJNLa15Dn75PeBzYkBPrk1FPUEOm0yPuBA4H/LyyEmcqPMxDQ97Jc27ue/TThI+ou+o/tKlQcPDj7pRI4msN46Hn33Ub7+2BN/FsxT8pGZn/M/hkbyNuHzmfS2vULKAF1yveMf/ty+UVF3BdyxQWJY9m47IvuOrWD7nymps9fleA9PR0pkz+iKNHttC2/V1cf737NYILw99ydCHLbm6UUgm+LhnUtpqSNQYW+FH/h8/XDgSlVEngceDq7EPLcPV3Scc1gWlagNfX3kfoy2x+3apVq2jfvn2RxTSivRD3aN++fWRlZXHJJZfoexRgvtr3zmOkT9+XwLmvrpQqDcwErvcn4QtJuXLl/H6nHwqtvzqlFHXr1mXfvn0+6cuWLcujj/2fz7GeGPEJe/c8y9ezJmCxWrn54cFc6uWV550PD+X7M2msW/k1d1TaTfloSLPDjKM1SW9yFwNHjCw03tCPZvDxi/fTKHUpPaqfIMICa45HszCjNT1HjC+0wgeuV7wj3prB5k3r+Gbxz1SsXpshb28wPPVKdHQ0Ax58wdC57ijqshCo1jAm7NsiImeB97O3/ARU4ctGe58JY0ZFRRWrfP2NabR1z13Mi+UeXXDvC0PfM1LpO6iU+kREHldKlQd+wzViJGCUUt2AMbhmqf5SRNzXBDQhp07d+gx8yrcK471PvkzqgKf5deInnD5xgBKVK9LzpSFe5wcsU6YMw8fNYM+unXz909c4s+y0uOdGhnfuamhSaIBmLVrTrEVr4uPj9Vx7gWKy+aqUUtNEpLdSahPnV8o4h4i0DFIo7X0azcVKmPqe10qfiLyilHpPKfUZEAeMFJGffM44H0opKzAeuAE4AKxWSs3M7pSoCRPKli1L/yf8Wyawbv0GDBzxdpAz0viFicwP14z0AIUv6xIEtPdpNBc5Yeh7hXboUkrdkbMBK4ErgHWAZB8LlPbAThHZLSJ2YAqgZ8HVaMyIiearyrUw+Qlgv4jsA0oArXBNZxAQ2vs0Gg0Qlr7nqaUvfw/2dUBk9nHBNR9MIFQH9ufaPwAUWFpCKTUIGARQpUoV4uPjAwzrH2lpaSGLXRhmy8ls+YD5cjJbPoYx1xNvDkuAa7Jfvf4BrAbuAdwPKzeO9r5cmK3Mmi0fMF9OZssHzJmTV8LQ9wqt9InIg0FJL0BE5HPgc3CNYCtsBO2FxtPo3VBhtpzMlg+YLyez5WMIk/VtyYUSkTNKqYeBT0TkPaXU+kAvqr0vL2Yrs2bLB8yXk9nyAXPm5JEw9b3QLCLi4iCQexhmjexjGo3GbJhzviqllLoS1xPub9nHPM8Kbg6092k0xYEw9D0jo3cvFKuBhkqpurgMrw/QL4T5aDyQlZXFiuXxWK0RdLjyWq/z++Wwaf0qFs3+kCg5Sqa6hHadB3HF1Td41YkIC//4hW3rpmFRdmKqXMEdfZ4kOjraUFyn08mePXtwOByGztd4IZSPh4XzNK7Jk38Wkc1KqXrAohDnZATtfRpNcSAMfa/QSl92TXKFeJu92U9EJEspNQSYh6uW+lXupUU0hbNwwTS2b5vNJZW6cuL4cSpWqmRIt3fPdmb+8ipRkcdwSlMGPPwepUq5X9IsN6tXLGDJ789wQ/t/yMqyMPr1ltzS+380be55PsqFv08jaeNTPNnpKDkzrcxfN5+fD7zJ7X2e9Kj99P0n6VB5Ao93cc2De+zUDEa9PJtn35zrNee/Fs9i9dLXaVZvO6kR/8fY0d/z+NDPiYjw/oyTkpLC99+9iMVio3KVq7jt9scNTxNz8OC/zJ49joiIUtxzz3DKlCljSFcsMOFrDhFZgqt/S87+buCpQK+rvU+Tg4jw4/SPOHVyPdHRdbj3vlcM+QjAwvnT2LzxKyKsZ4kufTX3P/gmVqv3Bhmbzca3E4YQZdlMliOWJi0G0fUmY88EG9YvZ/HCd6lWozvjPvqeBx/50LAPLV0yk82bJuN0Wuly/bM0adrakA7g97mT2Lt3FbVrt+Pm7oWv5Z6f1NRUpk59D4cjnR49nqBGjTqGtUVCkHzP6BRNSqk7gR+BdiLidjb2gH1PRNxuwKfAWlwjywYAVQs7t6i2uLg48URSUpLs3btXkpKSPJ7nj3bRokVBj+uPbtbML2TRn7EidmThgtHy+mutJCUlxavuzJkzMvK/zcWZikgaknoEee+d27zqMjMz5f3XW4rsIs/27isdxOl05jk39z1yOBzy0UttRZZSYPv0lcZy9uzZQmNu3rRe5o6NFVlBns02H5kw/iWP+SYnJ8v4kfVF9iOyH1n0x2g5sk7JhM8860RE0tPT5c3Xr5KzyYhkIJvWRsvXE172qhMR2bdvl3zwQSPJykLS0pBXXmkvZ86cKXBeYeXoQpbd3ABrxNe/u+qI/J/3zZ9rm3HT3peXUJfZ/Lp58+YVWczxHz8hO7dEitiRoweQN9/oVcD3RAreo1UrF8pv0y8RsSFiQw4kWuTzT4cZivnuW90l/SAiJ1zbL5MqyNqEZV51R48elfEf1BWxIYvmj5bTh5B33+5lKGb8op9k9oyKImcR5xnk4zG1ZMf2zYa0X3/1kqxbW0rEiaxNiJbx44e6PS//PTp9+rS8+eYVcvo04nAgo0fXl337dhmKmYPR32kofS+7orcLqAdEARuApm7OK5tdmVsBtPU1X6NboY2XIvKYiLQBXgfKA98opf5WSv2fUura7LmmTIPNZiMhIYHdu3eTkJCAzWYztdZf3f5/p9G5k2sBXaVg4IMbmDnzG6+6eXN/4N7e/5xrcStTBqpVXs6pU6c86lYsj6dru38KHI9rtIGtW7cWqtu+fTstqxXUAXS6bCvLlvxRqHbJn19zY9uCi2fHloH0Uys95jt39rfc031XnmNVKgppSd5bv9esXk6vHsvJeYPcvFk6aWmzveoA5sz5iKef3o7VCqVLw8MPr2LmzO8MaUNVdn3CnH1bLgja+8wdMyMjo0hiuv5B/kH9+q7lTCtXhrq1FrNnzx6v2lV/f0X3G06e269+qZMzqfO96o4fP07tqmvIPZ98r5tOEb/gE6/a2TM/5sG+53MrVQpqVFnByZMnPahcbNn8Az1uPgG4/q88PvBffpv9kVcdwNmzM7n8ctdym61bp5OW+rOh+zt//nQGDFhBqVJgscCwYbuYMeMdr7ocisT7guN7Rqdo+i/wLq7l1C4YXt9Yi8hWEflQRLoB1wF/AXfjmr/KNCQnJ2OxWIiJicFisZCcXLDSYCatvzqnM28py8oCuz3Lqy4iMgq7Pa82M1N5fd1gtUaQmVmwmNgdFo+vOaxWK1kO98XL4VREREQVqlXKgtNZ2Kee842IiCLTzZLTmVne39S5+66ZmYUmko+8OdvtYLd7XfsaCF3Z9QkTzVdVVGjvM2dMq9VaZDGdzrwF255lIS3N+wp/IlYkn+VkObx7idVqxZEvpgjY7d77JlutUWTl+1dgN+DxUPD/igikZxjzr/z3yCnG7q/VGpknX6fT2PfMoUi8z5jvVVRKrcm1Dcp3FXdTNOVZx1Qp1QaoKSK/cYHxyapF5KyIzBGRJ6UIFxg2QmxsLE6nk5SUFJxOJ7GxsabW+qtr0vQRfp1VEXD9kYz5uBk339zXq+7Gm+5h4tSW5/7Ijh+HYyev8Rq3w5XXsiChVZ5jIrBmWysaNmxYqK5Bgwb8c8z9qjALEhtz1TWFL1/a9ZZHmb2y4FJtx5OgTJVrPOZ78y33MWVO4zzH9uy3Eluxq0cdQNt2VzJzzjXkeMfSv0pRrsKdXnUAd9zxIiNHNiUlBQ4ehPHjW9OtW29D2lCVXZ8wUUufUmqcUmpsYduFiKm9zzwxHQ5HkcRUSlGy1B2s31ASgN27rWzd1o5atWp51Xa67nGmzKhybn/rjgjKlOvuVVehQgUOnbiK1NTzxyZOr0Dn6x/3qu112xN89m3Dc5XNJBscPnGVobVp27YfzA9TqwKu/ytvv1eDnr2e9aoDqFSpPwsWxJCVBX/+WZqsrOsN3d8bbriLr7++liNHIC0NXn+9Drffbnzd8yLxPmO+d0JE2ubaPvcphFIW4APA4w0Plu8pyf84YmLatm0ra9a47dsIuJp7k5OT8B5/ggAAIABJREFUiY2N9XkRZm9aT3MM+RvXX93qVQtZvvx7qlbrRMeO11GjRg1DumNHjzDpuxdADlKyVGseGfQ2kZGRXnWJ/yQwe9oTxDXaQEaWhYTtrbhv4DfUqdsoz3n579GKv+axdcFA+nfaT0SEy0x+XFaJmGaj6NbrAY8xv/3sZao5xnFDXApKwfZ/I5i25gZG/PcXoqIKbyUEWJewlIVz/0Pl2G2UqPQKRw9vZcjQcYYGZKSnp/PVhJc5c+YwDRtdx623PuxVk8OpU6eYMWM8TqeF224bSOXKlQucU1g5upBlNzdKqQRfKy1taypZ87T389RwfL62PyilcgpPR6ApMDV7/24gUUQGX+gcihozel9Rldn8ulWrVtG+ffsiizl3znfs2LGEEtE16N37KcqXL1/gHHf3aPWqhSyN/wiRVCpWuZH7H3jBkAedPXuWb74cTlbGGs6klyau/eN0vdHYw+fuXVv4+adXqVm7K0ePJPLoY6O8+mUO69ctY8niL0hPz6JHzxE0a2Z8CeuVKxawevXv1KjZis6dbzFcjjIyMpgyZRw22wl69hxIvXr1DccE47/TUPpe9sCw10Xkpuz9FwFE5J3s/Vhcff5ympCrAqeAXpJrMEewfC+sKn0XEjNOLFmUOYkI27Ztw2q1FtrC5y6ffXt389v097BkHiLLcgldew2jcVNjZrJh3UqWzf8SJRnUanQD3Xr2M/SqIofk5GTWrl1Lly5dDGsuNKEuR36b31AD136uaCp95+IptQK4WkSysvcjgaUickVR5VBUaO87j9nyAfPlZLZ8ILQ5hdL3lFIRwHbgelxTNK0G+kkhI/aVUvHAc1LI6N1Afc/r2HOl1JPAJBFJMnJBTXiilKJx48beT8xH7Tr1eHz4Z37FbNW6A61aF1idyjCxsbGGp1vReMGcffbKAzG4nooBymQfCwra+zSai5wg+J4UMkWTUupNXCN/Z/p4yYB8z8iEQ1WA1UqptcBXwDwpTs2DGo0mcMxZdx4JrFNKLcKV4bW4RtwGC+19Gs3FTJB8T0TmAHPyHXu1kHM7e7lcQL5nZPTuy0BDYAKuOat2ZE9d4NvLd41GUzwx0pk5BJVCEfka6AD8DMwArhSRb4N4fe19Gs3FSpj6nqHGy+yn2yPZWxaupsQflVLv+ZyxRqMpfpjQ/JTr3X1XoJWI/ApEKaXaBzOG9j6N5iImDH3Pa6VPKfW0UioBeA9YBrQQkceAOMDYkCKNRlO8CcI8fUqpbkqpbUqpnUqpQudmUErdqZQSpZS3jtefAFcCOXMWpQLjvWdiDO19Gs1FjjnnJw3I94z06asA3CEi+3IfFBGnUuoWo4E0Gk0xJsAn2uxVLMYDN+CanHS1UmqmiCTmO68srgXFjUyA3EFE2iil1gGISJJSytj8FMbQ3qfRXMyYsy9zQL7ntdInIq95+GyL0UAajaaYEpzXGOeWIgJQSuUsRZSY77ycpYiGG7hmZnZlUrKvWQkwuoSKV7T3aQJBREhYvYK0VBvtr+xEqVKlDOlOnDjBzxPfw5G8jSxVipbX9Oea67obmolg755d/P7jGCrWbMMPE97jtr5DDMcFSEpKIiIigrJlyxrWhC3mXV4yIN8z0tKnMRkOh4N///0Xh8P4kjU5HD58mIMH9tPossbExMQY1iUnJzPr18+JiIii562PULp0aUM6u93O9Ckfkpq8kRIl63N3nxGUKVPGkPbQwQPM+nU0jqzTtL/yPtq2u9ZwvsePHydhzUKcYixWbk6ePMmxY8eoV68eJXIvgnkxY8z8Kiqlcs8t9Xmu2endLUWUZz6e3EsRKaWMVPrG4urMXFkp9TZwF/CyoUw1FxWnT59myeJZWCxWOnXuSXTOAtteOHXyJFMmvYJV9mJ3VuH2u1+jRs06XnWbN65mzg9DuKbBeqqUtjPpvYZc0ugx7uw3zLNuwxoWTOjPw+22Ubqm69iqNb/w8d/3M+Q/n3ms+P38w1gyNr/Nw3HHWGYdTVP784x7fhK9h06nbv3LPMbdsnkdc6Y9y6VlE8l0RHA8PY77H/uCSm4mmM9PVlYWv/78OcePJlCxchtuu+NRj0t05kZESNy8mfT0M7Rs1drQYgFFijkrfQH5njln3/ITm83Gvn37/Fp4ORRaf3TJycm8804XtmxpSVLSP3z1lfH/cb/8PJb5f7RGnFfw1YS2bFi/3JBu964tfPnpFdzSdQRdrx7Kh6M6cOTwIa86EWH0yNu5ocMLDL73B+7o+l9G/V9XMt0tjpuPXTsTmTG5Mw/eNYbH7vuSE/t78evPxrotrF+3jB+nXkXjBn1wOrYxepTn1T9y88vPY/n1lxYcPtSa0aPa8+++3Ya1ULRlIRhawxjr2+L3ckRGlyLKjYh8D4wA3gEOA7eJyHSj+nCiuPhXMGLa7XafdKdOneLD0Z1pXK8vDWr15p23O5Gae52zQrDb/5+98w6Potz++OdsCj0bQiCAdMGCXEUSAlgQrFwsKPYuFkRFuXbU3/VeK/aC5SoKVhSxY+/BLiRYUFSkK6LU3VDS9/39kQQWkt2dbZnJ5HyeZ5/slLPnzDvvfHNm5i3lPHzvSM456n+cf8I7XHj8kzw39TDWrl0b1q6iooK3nz2XK0fNYfAe5ezeA8Ye9hsZG25k7tcFYW3feepyLtn/V1oF5aT5vUrZp9nTzP7wjZB2f65cyZYfJ3HSoNWk1eRbHTLhqoPn8/Kj48P63LJlC29NP53LR3/CyYf8zRkjVjLhiFk8ft+JYe2gRuMnHUf+buMZd8o08ncbzy03HomVkY0CgQB33nESf/81kMryfbj5pqGWzkswSdc+B7bpi1f3XJP0+Xw+ioqKWLJkCUVFRVFVAjtsY7WbPv0qrrjiM0aO3ER2diXNmj3Ajz/+GNFu8+bNrPrrLk4//W8GDjT8a8JvvPf+1ZZ8vvXGzVx28S9kZkJ2Nky87Ceef+66iHZz53zKQYM/pkP76mVvBpx94hxenBl5sOa335jERecsJj0dRGDEgX4WL3zcUrwFn1zPBecvokcPaN3aMHDADD755L2IdsXFxaxecydnn72KAw8s45prfuCFFy6x5BMavi7EaxsV8fdiWwl0DVruUrOuljZAP6BARJYBg4FZ4TpziMhUoLkx5iFjzIPGmJ9F5L/WD8odNCb9SoTPsrKyqOyenz6Rqy4tpGcP2LkXXH3pHJ6YGln73nz9Cc46ei61D/tTUmD86QuZ8exNYe3efeM5jh88v876g/f28c3Hj4W0W7hwIf9oM6/ebbk9Svnpi+khbd+aeR/H5f5VZ70I9GlZxO+//16PVTVvvPIYZxyy/eQQqamwT59v+P7buSHtAOYVfcn+ee/TdafqJK9bFzhw8Md88vE7Ye0AZr3+BMce8zIHDi9l0KAqrr7ya6ZNvSKiXS0Non3O7L0bl+65Junz+/14PB4yMjLweDz4/X5H28Zq5/H4CH4z0bv3RpYti/w0asOGDXTquL2PZunFlnympmwg+K1CaipUVf0d0W7F8gX06lG63bquOxlW/l7v7DPbkZbqZ8c3Game9fXvvAMtmm/ebrlnj3KWL/8lot369evZaadtwuHxQFq6c+tCvLaWScx4VXOBPiLSs6bR8UnA1pHojTF+Y0y2MaaHMaYH8DU7zD1ZD4cBT4nIGUHrjoriyFxBY9KvRPhMSUmJyi41ZSPB08+2bAkVFeGf1gGsWb2Yzh23f2LVsgWUbFkV1u7vVYvp0r7uky4RSJXQT7LWrfmbjq03hdyeypaQ26rK/DQL8Wa0Y2s/69atC2nrW/877euZz6FbTgmr/lwa0g5qNL57yXbrdt25nEW/fRvWDmDNmqV0776tiVLLllBZGfm81JJ07XPoOH3EqXuuSfq8Xi+BQIDi4mICgQBer9fRtrHadelyMF9/va1h7htv9GTAgMhTCnbq1Invv9+F2maA69ZBRaW1OXBbth7Eyj+3VZVfFqaS0/HAiHbDDjyetz7sst26V99uw7ADI79ubdl6IH+t3nZFBQKwudTaNHDllf3YEDRx1suvdWKffUZEtOvSpQuFhbtSWVm9vHhxCs2bWx/2raHrQry2URGn+NXME1k7FdHPwMzaqYhEJNZEbTXVo9EfLyIP1cxx6cxWOEmkMelXInxWVVVFZdex0/58/0OLrctffNWCXjsfHNFu/2Gn8N7s7X388HMqvfocGtZuv+HH8eG3dWPbXAKprXcPade3357M+7tHvdtKy8G07BXStlOvQSxbXf+/8x/W9GaXXXYJaZs35Bg+/65uG+2C77swaJ9DQtoBHDD8WN76qPt262a+0YGDDz05hMU2hg49gZkvdt66/PnnLejRM/J5qaVBtM+ZSV9cuueajhyZmZnk5ubi9/vxer1kZmY62jZWuyOOOI/XXitn8uQ36dDBy0knvULnzp0j2qWkpHD++a9z1z0XkJ6+BpG+XHLJw5Z8nnbG//HYo2soL/2AqiqhWYvDuOCiyE2vsrOzad/lev735D3ssesSFvzWiWatz2Bg/pCItqecfg0P3b+Itq0/oFXLEn5e3I+zz7P2enfs+Q/x2BTAfEt2h1bsnTuFXXYJ35AZIDU1lXHnv8G9944nLW09zVvkMXbs7ZZ8QsPXhXhtoyIxc1AmcioiADHG+IEja15vFABJynqdS2PSr0T4nDNnDrm5uZbtRh1zIc88tYbPvppFZWUAb9YxjBkzNqJd3z36M/er8Tw/axr7DFhF0Y9tWfL3kVw+8Zywdrv13ZO3XjqCPdc8T+f21Z0qKyph8lt7ccG/rwlp5/V62ZI1gtX+R+iwQy1+srAXR18VcmhLDh99JrdfOoWJB84hJWXb+uVrUpCOR4btwZs7cF/uemcUHbNeoE/Nk7cvvm9JSvYY2rYNP6VrVlYW3XrfxANT76R7lxUsWtqRHrtMoFev0AlqLbvutidr107h3vvvBsrIbn8Ep59+QUS7WhpE+5z5WCwu3ZPGNJVkXl6eKSwM97YneRQUFDBs2DBbfIfCaTGFiqe0tJQlS5bQrVs3yz13a/H5fGzZssVSYhtNTHZhdzwiUmSMifxoOIi8HmIKQw5eEvTbZxP1b8eDiNwQPKyKiBwJXGqMifwYupGh2reNho7nr1Wr+LZoNrvvMZAePeufgW/HmKqqqnjuidso/vMjPJRR1WwPThxzc8TesJWVlTx6x0W02vAu+Z1XsHpTc4rWD+DAk29j7/z9w9qu/vsvnrnvfDp55tLmH1fyR9EUmnU9irPGT8LjCZ+9BAIB3nz1SVYueZ+ASWHP/FPZf9jIsDY7xv3XX3/RsWPHkD137axHqnvbsOVJn4jcCRwJlAOLgTHGmCR2PVTspHnz5vTt2zcm28zMzOQ9vVKs4dDxqnYcR88Y8wYQuoujA1Dta3x07NSJfx5xUlQ2KSkpnH7udUDkDm/BpKamctG1j7Jhwwbmf1dIdnYHLuu3p6Ux+jrkdOTySa+zfv165s6dy9k3f2d5yCmPx8NRx54NnB1VvMFxd+nSJfKOjQmX6p5dDy8/APoZY/YEFgKhn3krimI/DmrbIiKf1/zdKCLFQZ+NImKtd5J9qPYpEWnbti1Dhx9Cv3/sZSnhCyYrK4tmzZrpGKOJwIW6Z0vSZ4x5v6ZhN1T30nPZLYKiuAwHjVdljNmv5m8bY0xG0KeNMcb6iOM2oNqnKI2IBOlepHnHRWSciMwXke9E5HMRqfNqLFG654SOHGcDL4TaKCJjgbEAOTk5FBQUNFBY27Np0ybbfIfCaTE5LR5wXkxOi8cSDnvNISJZ4bYbY6yN7WM/qn0x4LR4wHkxOS0ecGZMYUmQ7lmcd/w5Y8wjNfsfRfVA9SN2+J2E6F7Skj4R+RDoWM+m64wxr9fscx1QCYQcdbJmVP8pUN2Y2a6GoE5rzAzOi8lp8YDzYnJaPJZxUNIHFFE972R9URkgctfBJKLal1ycFg8kNiZjDN9+8w3L58+nhdfLkMMOi2o4EmMMs2fPdnUZNRiJ0b2I844bY4Jfz7aiZl7dHUiI7iUt6TPGhB1wR0TOAo4ADjKNqQuxojRFHJT0GWN62h1DOFT7lFh5ZfJkfp8xg4Hffss+paWUAK/26IF/yBBOuOMOOoXpLPHZO2/z7dOPkbZwPu3PmcCD101ABgxh1JXX0qVbt4Y7CDeRGN2LOO84gIhcBFwGpAN1euImSvfs6r07guq54w4wxoQeZlxRFGfgzPGqEJG2QB9g6zw1xphP7YsoPKp9TYPS0lJeffZhNvz6CSlUYjL7MGrMRDqFGXrqfxdfzNDHH2d06fazGJ21bBlVy5Zx3w8/cPzrr9Nt57rDxjx61aXs+fIULqmqrlIFVeUct/IHKv74gac+/4B+tz/M4EMPC+nbGMOnH77Fz3PexEgK+444iz0HDIzx6F2ENd3LFpHg8ZSmRDPveC3GmIeAh0TkFOD/gJCzGMSje3a16XsQaAZ8UNMz6WtjzDibYlEUJRwOa9NXi4icC0ygujPEd1TP1/sV9dwlOwjVPptYv349IhJxwOFg/v5rFa88fzOequVUmPaMHD2RXjuHH+h9w4YNPHTFSM7t/jUdd6peV1b5Lk//5w36nfowQ4b9s47N2089xZCpU9ljh4SvlhTgsp9+4vYxY7h69uztevS+/OBk9n3pUfoFSurYpQmcu2EJj0y8iJ57fUFOTk6dfYqLi5l8zdEc0fFLxnUpwxgoePkZ7nxhJJfdOp2U4NGe62Hz5s28POMethT/RsuMPow+8dKoxmMtKyujsrKSVq3qzgpiK9Z1b22EcfoizTu+IzOA/4UMK07dsyXpM8b0tsNvU2fVqj94/vmLaNlyHZWVfRk79kHSgyelTAJ/rVrJ00+fTUabP9i4sT3HjH6I3n32sGT76ezX+P77e0hLK6dZs4M4a8zNUQ9foCQIZxb7BGAg1YnTcBHZDbjV5pjCotrX8JSUlPDg/afSJecrAkb4e90BXPyvp0lLCzFZbQ2r/vyD5x4+jIuPW0B6WvVUkNNmFrBl5Av02yv09IxPThrHVbt/TXrQf9dmqXDeHsu479kryd3noDq6+9uzzzKypG7SFowABxQVMXf2bPJr2sYZY/j91ec5tp6EL5gz1y7mqbtuY9yd99bZ9vit53LFXp/QvKY4RGB47430LZ7Jk5N7cM6lt4X8Xb/fz4O3HcKFx82lrRc2+OH+W2Zx0dUfRBxf1RjDlEcm4DFvkZZazjr/YC4c/zQtWrQIawdQUVHBlEfHk5o6n82bMxg16h527h3bWLBhSYzubZ13nOpk7yTglO3ciPQxxvxWs3g48BuhiUv3nNB7N2H4fL6Yp2SxwzZen+Xl5fh8Psu2TzxxEhMnfoHHA+vXf8Hjj3u48MJHkhrvk0+cwVVXfIzHA8bAzZNO4//+PS9i8rZ82RJWrBjPxRdX3xAtWPAdr76Sw+hjL4kq3mjLqNausdWFpE/D5sykr9QYUyoiiEgzY8wvIhJ5vj0X0lTqbCzX9FPTrmXcma/Spk318rp1M3jmqd6cfe5NYe1efu4GJhy/gNoJJjweOPeoZdz36q302+u1em02bNhAdvFXpId4i3t8l594Y8ZUjj1j23Rjq1atouu331o6lsFbtvC/J5/cmvR9N3cuAxd9G/H6bOGByqIv6qxfs2YNHcs+35rwBZOTYdgy7z2MmRRSr1945iYuPWUuLWvytLZeuOzUQp5+5kbOv/iesDG98fo0Dhj8CLvtWgHAxo0v8dQTnRl34f3hDwaYNvVyTjxxCtnZ1f9XJk06iauunhdyNpCYSYDuGWMqRaR23vEUYFrtvONAoTFmFjBeRA4GKoANhHm1S5y655qkz+fzUVRUhMfjIRAIRDU3ox22ifBZVlZGUVGRJdstW7bQqdMSamfjycqCQOBHS/7iibdt5rKtPkWgZ/elLF26NOLcjPPmfcQhh2x7At63bxkffvgFYC3pi6WMgu0aW12IxTYqnNmm7w8RyQReo/p16QZguc0xNThNpc7Gek1jFmxN+ADatYNNGyNPaZcWWE59OUQay0LarFixgj4t/wy5fadMWPvHz9utW716NR191iZlESBl48aty6uWLKZfVZml/+Rpm+qO37v4t4X0zVwV0ibL8xebNm2iTXABBhEo+21rwldLi+ZQtvnnevcP5s+Vn3PUoRVbl9u0gYry7yPaVfMz2dnV30Sgb9+l/PLLL/Tr18+ivUUSpHuR5h03xkyI4ufi0j1nSnkM+P1+PB4PGRkZeDwe/H6/o20T4TMlJcWybYsWLVi1alu3/8pK8Pmsj2Mba7wbN7XbbnnZcmtDD+y8897M+3ab0KxdC5WV7cJY1B9vNGUUbNfY6kIstpaxMiq9DU8CjTHHGGN8xpj/Av8GpgJHN3wk9tJU6mys13R5RQ6BQNByOZSURNaSsqos6utbvam0/gQIoH379vxZGjoRLS6FFhnbt6tr06YNxS1bRoynlkDzrW338XbIYYPFf+NV6c3rrOu0Uxd+3xQm3iovLcPEViXtqaraYV0VbCmL/L+lVeverFu3bTkQgE2brbW3LCnJpmJbvsjChd6Ir+ujxqW655qkz+v1EggEKC4uJhAIRDWukR22ifBZVVVl2VZE2Gef27n++p158MH2XHPNXpx0UuTH6PHGe+BBd3LXPbvx5tstueOunfC2PYusrLBjTAKw5155rFw5nnvuyeHxx9tx66R9Oe30/0YdbzRlFGzX2OpCLLZR4UDxg+pebCKyJ7CR6qEQEnyr73yaSp2N9Zo+/sRbuenOvfh5oTD/Jw/X3rgbx590Q0S74SMvZeaH27+nfe+r1uyeG3p+2s6dO7M8La/eZBHg5aXdOeq0i7Zb17NnT37dw1o750UpKXQbsW3M3kFDh/JZt8i2VQYqd+9fZ3337t35taL+eMsqoCJrcNiOHEeMvoYpL/faam8MTJ7eiZFHXxUxpuNPvJwHphxIwefpfPu9h2v+uwtHjw7/yr2WM854kEmT9uPRR7O56abutGh5Tr2dVOLGhbonjWmYqLy8PFNYGPqxfDLbmIQbWNKuNjFz5swhPz8/ap9r164lOzu7wcqorKyMX3/9lWbNmpGTkxOV39WrV7N27Vo6d+7coGXU0PWoodpHiUhRhJ5mdcjrLabwrsj7yTFE/dvxICI3AWcBS4DaZznGGOPk3rsx4UTts6tNXyzXdEVFBW+9+TwlpWUceuho2rWz9tbgmy/e5+tP7iXNLGdjWVt2GzCGUaPPrbNfcBn98uN3fHzf8Yzru2hr0xaAT//w8vfu/+b4cy6vY//0TTdx2PXXEyltubd/fy4pLNwuEZty9eWMfv4esoN8FVx+F8PuvmLr8ivN27PHSx+zaz2vPxf9uoBZ9x7P+f0X0Kpmut41xfDIgiFccsc7EZPr3379kXdeuwWPWcHGkiwOOeJq8gbuV2e/+uqRMYbPPvuINWtWM2zYYZbPSy2rVq2irKyMzMzMsPVBdW8brmnTB0Q88U6zjddnenp61PZ2HGezZs3Yc889Y/LZoUMHOnToEJNtYyoju+quZZz5TuAEYGdjTLndgdhNU6mzsV7TaWlpHH3MGVH7G7TvoQza99CobHbr158W177DQ9NuInXdd3hMBaUte9L/sPM4/rD638Kdcs013P7VV1z0zjuEOrKZO+3EoFtuqfPkbczNt3HHol8ZO/ct2tdznRY0a0vggon1JnwAvXfty1m3fsZzT9xG1fL5BPDg7XkAV9x3saWetH127Uefq5+PuF99iAhDh4YdyzwsnTp1itnWEi7UPVclfYqiJAGHjtMH/AhkAqvtDkRRguneqzcX3/yU5f1TU1O58rXXePSCC8j46CNGL19OG6rn1prTsiVf9u/PPv/5D4MOrZuApqWlcfULr/H0Tf9hc8F79F8ynxIDr6W3ZXnfgex15vkcd8zosP6zsrI47/I7ojxKl+NS3dOkT1GUyDhT/CYB34rIj0BZ7UpjzFH2haQosZGens7FU6eyYcMGXnngAUr+/BPS0uh/9NH868ADww5zlZqaytk33EIgcBMLFiygeNky8j7+gaPDTNumWMCFuqdJn6IokXGm+D0F3A7MZ1vbFkVp1LRt25Yzr78+8o714PF46NevH2vXrqWLJnzx40Ld06RPUZTIOLNtyxZjzGS7g1AUxaW4UPc06VMUJTzObdvymYhMAmax/WuOefaFpCiKK3Cp7mnSpyhKZJwpfnvX/B0ctM5gceJxRWkIjDFRzRn++UfvMW/W46RvWkUgpRnN+wzh2LFXRhw6ZcuWLbz6xAP4f/yYDoNH88CEB9nz8DEMPWSkzlkeK84strh0T5M+RVEi4zDxE5EUYJYxpu4M8oqSQEpKSli8eDHdunUjI8PaLEZ/rfqTFx65grRN80ihgtJmfcg/bAJDDvhnSBtjDA9fP569lz7JJdlboGbij+IlHzPlvNcZffOL9Nplt/r9/fkn0y4bxdjMQrJbQEHKoRzneZm5z77F5I9O4ZLbHg+b+M2f9zUfv3IbzUoXECCVilb9Oe7cSezUtbul4y0tLWXFihV07drV0jAvjQYX6p4mfYqiRMZhbVuMMVUicjKgSZ8SkYJPXuHnn54FhP4DzmPIPiMi2gC8NONu1q2Ywh47L2PuB50JtDiOs8+/I2wCtWHDBp66ZSRXDPuebUPqLWFWwXd8VvEo+x88ql67Wc8+xrA/prJHdtl26zOaweWdfuT2G8/h6mc+r9f3U9eP4eqcQlJ2uE4Htiul3bpnmDmlLyeeX3dQaIAfir7i+5dOZsKgbdO3BgI/c8+dP3DGdR/RIcJMFzOfu4MNK6eyS7ffKZjVFW+nMZx46sSwNrX8+ssPfPjBHaSkVLFHv5PZf6j1jvezC17l55/fpXnzTpx62nWJn4YNXKl7Djuk+PD5fCxfvhyfxcmr7baN12d5eXmD+9QySo6tXefFEg6dgxL4QkQeFJH9RWTcE9YIAAAgAElEQVRA7ceWSGymqdTZWK7pT2e/zmbfWC4451UuOOcVfl96JnPnfBTRbv4PhbQou5nzT1zIfnnljBm9jLweD/LuW8+FtXvpyVu5eL/ghK+ao/b8m3kfhJ76ctmnL7CHt6zebSJwsGceX3z8Xp1tv/z4A/23fFMn4aulV5sK/vr6VULNvvXJq7dxelDCB+DxwMX7/8RLT9wYMl6AwjmfkiW3cP6JCxk+pISxJyykXcqtzPm6IKwdwLKlv/HRB6O5cOx0xp07gw1rx/Dp7Ncj2gG8MWsKgcDZjBs3hSOOuIFbbz0q5PHFjEt1zzVJn8/no6ioiCVLllBUVBSVKNhhmwifZWVlDe5Tyyjxtnadl6hwpvj1B/YAbgTurvlYmDjJXTSVOhvrNb3gxxkcPmLd1uUTRq/mqy+nRbT7/JNpjDxgex977V7Krz++FNauav13tGxW/7Z2/MzGjRvrrDfG0Ny3JOzv5mWV8tMXdZO+L99/lQOz/WFtszYvpaSkpN5t6SUL6l3fLA1k4/ywvzvny2c4aJ/i7dYdNGQjX8yeGtYO4L13H+WCsYupfXB51BHr+e47awNa//HHiwwfXn1usrPhH/0+Z8GC+o8jLlyoe65J+vx+Px6Ph4yMDDweD35/+IvAbttE+ExJSWlwn1pGibe167xEhQPFzxgzvJ5Pk+vE0VTqbKzXdCCw/b85Y6CktDKinceTTlVV3fXlFeGfKAVICbmt0qTWmUZta1wS/t9xwAD17JOSkkZlhIdclUbweOr/fRMmXhOxBVgqgR1GijMGKiKUEYDHk0ZFxfbrSksinxeAqqrtY95SkhIyqY0LF+qea5I+r9dLIBCguLiYQCAQsaeT3baJ8FlVVdXgPrWMEm9r13mJCo+FTwMjIl4RuUdECms+d4tIkgrAuTSVOhvrNT102L94dFpXjKlOSO68rxOHHlZ/+7ZgRhx5CTPe7rzdunc/bcXeg84Ma9d6p/1YV/dhHgC+1D1p2bJlnfUiQnn27mF/9+M1bdj3yFPrrD/omNN4a034+cmL2+5G8+bN691W0bp/ncQNoHgLNMsZXHdDEIeMvJiX3t2+zd/0WW0ZfuiFYe0Ajj3+Sm6/ew/Ky6vPy+SHcthv6L8i2gHsvfclPPNMJ0pKYN68NH6cvx+9e/e2ZBsVCdI9ERkhIr+KyCIRqdPgUUQuE5EFIvKDiHwkIiF70MSre67pyJGZmUlubi5+vx+v1xvVhNx22CbC55w5c8jNzW1Qn1pGibe167xYxrnjVU2jeh7KE2qWTweeAMJPNOoymkqdjfWa7vePgaSlvcnkR++jrKyCww6/hL32GhjRrnuPXizb4wHun343rdKXsWFTO7r1OYsTDz0mrN3xZ17OXVd9yITBs8moye8CAXj8q14ccvp/Q9r1P2oss6d/wQHt6r62rqiCwhb7MLF/3aZbXbp1Y3mHA9hc8SKt6unLMMfXht2OOCuk39Fn38p9d8/n4qELSKvJCDaWwP1f7sNlt18X7lDps0tf/lgxmcnTJ5PmWcHGkg7s1v9CBubvE9YOquf7vWj8bB6ZegOlpZs4+JCxDBgQPsmsZd/9RpKT8yFPPjUdr7crV088MfHalyDdq+lx+xBwCPAHMFdEZhljgt9HfwvkGWO2iMgFwB3AiSF+Mi7dc03SB9WiEOuJt8M2Xp/p6elR22sZJd+nHceZlGQvGGcmfTsbY44NWr5BRL6zLRobaSp1NtZretfd9mTX3SK349uRAw4czQEHjqaiooLU1FRL4921aNGCy29/m+cfu4myv7/EY8qpaLELR1xwLT133jWk3dARRzFz2XVM/+hujsv5i2Y1/51/9qXxUsVgLpo8PaTtuElPcN8lxYzYOJvcrFIAyqvg1b87UDHkIk479rSQtl279+LUaz/ksSdvxLPxJwKkkN5+EJfe9n+0atUq4vEOP/gEhh98QtTjEQJktWvHJRNim1yid5++9O5zS0y2lkmM7uUDi4wxSwBEZAYwCtia9BljPgna/2sg9AmLU/dsTfpE5HKqGyC2N8astTMWRVHC4Mykr0RE9jPGfA4gIvsCSWjYk3hU+xoX0Q4H0rJlS86ZMClqPyeMu4KVR5zEE1PvRHx/UOVJZ+dRR3PdqONDtskDaNWqFdc+/g5ffPweD7/3HB1oyxNZF3P4FVfQpVu3iH5zOnbiwon/izreYFw5ALS1Q8oWkcKg5SnGmClByzsBvwct/wEMCvN75wDvhNkel+7ZlvSJSFfgUGCFXTEoimIRZ7b+HQc8XdOeRYD1wFm2RmQB1T4lHDt16cK4/4Qe2iUUIsJ+B41gv4NGUFBQwHGnnZ2E6JoY1nRvrTEmLxHuROQ0IA84IMxucemenU/67gWuAqwNzKMoij04tE2fMeZ7YC8RyahZLo5g4hRU+xTF6SRO91YCXYOWu9Ss296dyMHAdcABxpj6B2wkft2zJekTkVHASmPM95EeCYvIWGAsQE5ODgUFBckPsB42bdpkm+9QOC0mp8UDzovJafFYJjENmkcA9wMpwOPGmNt22H4ZcC5QCawBzjbGLK/zQ9v2bwYcC/QAUmu1xBgTfkRZG1Htix+nxQPOi8lp8YAzY4pIYpK+uUAfEelJdbJ3EnDKdm5E9gYeBUYYY1aHDSlO3Uta0iciHwId69l0HXAt1a83IlLzbnwKQF5enhk2bFiiQoyKgoIC7PIdCqfF5LR4wHkxOS0ey8QpfknowQbVT8r8QBEQ8s64oVHtSy5OiwecF5PT4gFnxhSRBCR9xphKERkPvEf1De80Y8xPInIjUGiMmQXcCbQGXqxJ4lYYY0LNSReX7iUt6TPGHFzfehH5B9ATqL3T7QLME5F8Y8xfyYpHUZQ4iL9NX6J7sAF0McZYm0S1AVHtUxSXkKC2zMaYt4G3d1h3fdD3ejUjBHHpXoO/3jXGzAe2jiQpIsuovrvXHmyK4kSst20J14st0T3YAL4UkX/UaIrjUe1TlEaEQ9syE6fuuWqcPkVRkoQ18UtILzaLPdgA9gPOEpGlVL/mEMAYY/aMNwYleVRWVrJkyRK8Xi85OTmRDRLks6jwGzweDwNy80NOhbYjxhi+/OJ95n//Dj17DeGQw8IPnRLMF5+9xbdzpuKRUrzthnLy6VdZsl34y3zeenkiLWQhlSaDzM6jOPWsf0ccEsUYw7PTbsD352t06nMO9910I/scfA35Qw6J6LOyspKnp/6H0uLPMaTRsdtRjD7hYsvDsMydM5t5RW+z94B/kj9omCWb2pjn//A9ZWUl7NU/l/T0dMu2JSUlLFq0iA4dOiSvHjkz6YtL92wfiMEY0yNRd7o+n4/ly5fHNOm8Hbbx+iwvL29wn1pGybG167xYJv45KKPtwXZUuB5sNfwT6EN1G7kjgSNq/jYKGrv2xWLn9/uZNGk4K1b05/33+/HYY1dH7TPaa7qkpIRJtx5KigwlULk/N904goodJ30NwdQpV5BSPppxZ95P1/anc/utJ0Q2Aj758CU2rTyT8ae8yoUnv8PQftfxv8kXRLTbuHEjs6afxL+Oe5txxy1i/PHzGNTlFqY/eXNE2+efmsSgnW7l4uO/JzuznH8d/wnzZ5/LH79HHhno4XvP48j8W7nwxE+56MSP2K3d1Tz/zK2WjvWxRy+j1H84Y8+4g1L/SB6YHHkKNoBAIMCdd5zE+nWDwezHLTcfwKZNmyzZLlv2Gw88MAS/fwBvv70n06ffFtkoFhw49y5x6p7tSV+i8Pl8FBUVsWTJEoqKiqISBTtsE+GzrKyswX1qGSXe1q7zEhXxz0G5tQebiKRT3YNtVvAOQT3YjorUgw3AGLO8vk90B9b4aUx1dvr0a7jyys85+OASTj99La1b/4/58629pYr1mn5u+i1MuPgT8vICDBpUxUUXfMgTT0SeycHn89Es5UUG528BoO9uFezV9x2++eaLiLY/fvs4hx2wbuty184BWnjexu/3h7Wb9fL/OPvIBQQ/YOvTvZw1K16J6HPdH7PYpcf2yezpI1fw1qt3h7XbsGEDWS0+oH27bev22KWU1b/PjOhz/fr1tEibyf77bkYEhu5XQutmM1m8eHFE27ffms7Ro15m2LAyBg4McPVVXzNt6lUR7QBee+0qrrzye/bbr5IxY1azdu29rFxZ5x4yfhw453i8uueapM/v9+PxeMjIyMDj8US8uOy2TYTPlJSUBvepZZR4W7vOi2Ws3O1GuOM1xlQCtT3YfgZm1vZgE5HaXmrBPdi+E5FZIX5OCaIx1VmPp5jmzbct9+y5mRUrlkXlM9pruqJiHRkZ25azs2HDht9DG9Swbt06ctpv2G5d755bWLx4QQiLbaR66g6d1r6tnw0bNtSz9zY2Fq+irbfu+hSJPBRbmqfuU7L0dDBV4ctp/fr1dGhbN4FOIXL5rlmzhk4567db161rMcuWLYtou3btcrp1q9q63LIlVFRYe/DdvPnm7RLjnXYqSXzSlwDdcyKuSfq8Xi+BQIDi4mICgQBebz1XjoNsE+GzqqqqwX1qGSXe1q7zEhUJED9jzNvGmF2MMTsbY26pWXd9zZAFGGMONsbkGGP613xCDVmgBNGY6myfPkfy4YfV+1ZWwuuv70xu7sCofEZ7Te+992hmvZG1dXn6c1nsu+9JEe169erFt/P3wJht616c1ZXhw4+IaBtI+QclO0yMtWDJLnTv3j2sXf4+xzG7cPv5bo2B0kDoOXtrKTF9tosVYOGyFLr0HB7WrmfPnvy0dLc6PrdURvbZp08f5n73j61+jYGPZvdk7733jmg7fPhJPP3stini3nm3Nbvtbu0tZZs2Q1mwoLr9X1kZfPVVD3r37m3JNipcmPSJ2bGWOJi8vDxTWFgYcrvP58Pv9+P1eqOekDuSbbgxhmL1G2+8c+bMIT8/v0F9ahnFZxuqjJLpMxgRKYq2s0XeHmIKZ0TeT/Yk6t9WrOFE7YvV5/vvP8svv7zEli2pjB59M7vssltkoyCfsVzTH334Aj/9NJWyskr6/eM8/vnPky3ZLV60gNde/hfNmy1m46b2DN73OoYNr5uY7FhGGzdu5MG7j2fvXT+nXWYpH8/ZncOO/B/9B+wX0eeDd19A3w7PMjx/E2s3wGOv786J57zMzr13D2u3bOlCZj5+LOce+SM/+O6ibdm1vDPvCK76z4sRO5DM+eoDvvpoAocf8DNbtqTy+ux+nDH2Rbr3iJxILV60gNdfvYLmzZaywZfDP4+4jQEDBtfZr756NK/oUwoKbgMpo1u3YznuOGvtAY0xvPji3fz1VwFbtrTk5JPvDJtQq+5tw1VJXzJx4sCSTovJafGA82KyO56YxS9y8x6kX+MSv8aEat82nBYPhI5p4a+/4POtZ0BuPqmp1gfL+G7e13z9+Uwys7py1OjzadmypSW7TZs28fpLD5HeshPt2mYw/OBRlnvglpaWUvDR67Ro2Yb9hh5muYezVew8b6p729AhWxRFCU8jfY2hKHazy67Wn2IG03/AYPrX87QsEq1bt+bUs66OKcFq3rw5Iw4PNwFOE8OluqdJn6IokXGh+CmKooTFhbqnSZ+iKJFxofgpiqKExYW6p0mfoiiRcU0/f0VRFIu4UPc06VMUJTwubduiKIoSEpfqniZ9iqJExoXipyiKEhYX6p4mfYqiRMaF4qcoihIWF+qeC99YK4qScBw4B6WiKEpSSZDuicgIEflVRBaJyMR6tg8VkXkiUikixyUq/PrQJ32KooTHpW1bFCWZVM8Cch9pqWWIZyjnj7vX0kDJpaWlPPzQ2bRs8QMlpa3Jz/8/9t0v8tRvAF98/ibffPUfuvYYw2233sbY86eT1a5dRDtjDA8/dBEe+YSqqhTadziDE0+6ypJP15Ig3RORFOAh4BDgD2CuiMwyxgRP4rwCOAu4In6P4XFV0tdQU1klyjZen+Xl5fh8PsdMMZYM26ZSRnadF8to0udomkqdjfWabuh4ly1dzN9/XcolF68CYPHiH5n5wk6ceNKVEW2nTf0X54x5ntqphR+ZMp5ddxtMdnZ2WLv169fz4w8TuOxfSyj4/BSOPvw9Jj90Lpdf+WpEnzOev53DRzxGjx6VAMz+7BY+/6wf++0/MqJtLY2pHlkmMbqXDywyxiwBEJEZwChga9JnjFlWsy2QEI9hcE3S5/P5KCoqwuPxEAgEyM3NtVwJ7LBNhM+ysjKKiooa1KeWUeJt7TovUaFJn2NpKnU21mvajni///5Thg1btXV5550rePudOZb8eWTx1oQPYN8hyyks/IoRI+rO+RvMot9+JS93ydbltDRo3nypJZ/F/vlbEz6AofsVc/+Db1tO+hpTPYoKa7qXLSLBcyROMcZMCVreCfg9aPkPYFD8wcWGa1ri+P1+PB4PGRkZeDwe/H6/o20T4TMlJaXBfWoZJd7WrvMSFdqmz7E0lTob6zVtR7x9+gxgbuG2zG3NGqisbG/JX1l5B8rLty0XFmXRtm2HiHbduvfkh/nb9jMG1q/PsOQzNa0r69dvW57/YxpZWb0t2ULjqkdRYU331hpj8oI+U0L8miNwzZM+r9dLIBCguLiYQCCAN/hWyYG2ifBZVVXV4D61jBJva9d5sYy26XM0TaXOxnpN2xFv3z32Ym7hZdx+x6O0aV3J4qW7MnHiDZb8nXHmg0y6/Xe6dvmJ1Wuak5JyPLvuumtEu44dO9Ky9dXcfd+d7Nzbw7X/3oWTT73Hks/Tz7iRSbfOp0f3LyktSWH57/ty5VVnWrKFxlWPLJM43VsJdA1a7lKzzhbEGGOX76jJy8szhYWFIbcns21AuAms7WrLMGfOHPLz8x3TfkLLKPYyaqh2LSJSZIzJi+b38/YSU/hO5P1kJ6L+bcUaTtQ+u9r0xXJNJzveUGW0fv161q1bR/v27aP2uWLFCioqKmjXrl1UtqtWreLbb79l0KBBtLPQiSOYpUuXUlJSQufOnV1Vj+zUPRFJBRYCB1Gd7M0FTjHG/FTPvk8CbxpjXoom1mhwzZM+gMzMzJjf6dthG6/P9PT0qO21jJLv047jTFoHjlr0SZ+jaSp1NtZrOh6f8dhmZWWRlZUVk89u3brFZNepUyd+/fXXqBM+gJ49e8bkExpXPbJMAnTPGFMpIuOB94AUYJox5icRuREoNMbMEpGBwKtAW+BIEbnBGLNH/N7rYlvSJyIXAxcBVcBbxpgm3j9cURyMttlLGKp9itJISJDuGWPeBt7eYd31Qd/nUv3aN+nYkvSJyHCquyzvZYwpE5HIrVQVRbEHbdOXMFT7FKWR4FLds+tJ3wXAbcaYMgBjzGqb4lAUxQouFD+bUO1TlMaCC3XPlo4cIvId8DowAigFrqh5vFnfvmOBsQA5OTm5M2bMaLA4g9m0aROtW7e2xXconBaT0+IB58VkdzzDhw+PvkFzfzGFH0beT9prR45IqPbFj9PiAefF5LR4wN6YVPe2kbQnfSLyIdCxnk3X1fjNAgYDA4GZItLL1JOB1ox5MwWqe7CF6h2abML1TLULp8XktHjAeTE5LR7LaJs+y6j2JRenxQPOi8lp8YAzY4qIC3UvaUmfMebgUNtE5ALglRqhm1Mz9Ug2sCZZ8SiKEiMubduSLFT7FMUFuFT37MpjXwOGA4jILkA6sNamWBRFiYRY+ChWUO1TlMaCC3XPro4c04BpIvIjUA6cWd/rDUVRHEIjFDeHotqnKI0FF+qeLUmfMaYcOC3Rv2vHCPHx2Mbrs7y8HJ/P55jZJpJh21TKyK7zYgnBlW1b7MBN2meXz1iuaTvj1TJynk9LuFT3XDMjh8/no6ioCI/HQyAQIDc313IlsMM2ET7LysooKipqUJ9aRom3teu8RIUL73jdQlOps7Fe03bHq2XkLJ9R4ULdc00e6/f78Xg8ZGRk4PF48Pv9jrZNhM+UlJQG96lllHhbu85LVLiwbYtbaCp1NtZr2u54tYyc5TMqXKh7rnnS5/V6CQQCFBcXEwgE8Hq9jrZNhM+qqqoG96lllHhbu85LVDRCcWsqNJU6G+s1bXe8WkbO8hkVLtQ9WwZnjpW8vDxTWFgYcnsy2waEG2PIrrYMc+bMIT8/3zHtJ7SMYi+jhmrXIiLRD1KaK6bwi8j7SYvGNUhpY8KJ2mdX+69Yrulkx6tl5OwyUt3bhmue9AFkZmbG/E7fDtt4faanp0dtr2WUfJ92HGdS2vEF48I7XjfRVOpsrNd0PD7jsdUycqZPy7hQ91yV9CmKkiRcKH6KoihhcaHuadKnKEpkXCh+iqIoYXGh7mnSpyhKeFw6XpWiKEpIXKp7mvQpihIZF97xKoqihMWFuqdJn6IokXGh+CmKooTFhbrXqIZsEZE1wHKb3GfjvInRnRaT0+IB58VkdzzdjTHtozEQkXepjjsSa40xI2ILSwmHat92OC0ecF5MTosH7I1Jda+GRpX02YmIFDptLB6nxeS0eMB5MTktHkWJhNPqrNPiAefF5LR4wJkxNUVc2ExRURRFURRF2RFN+hRFURRFUZoAmvRZZ4rdAdSD02JyWjzgvJicFo+iRMJpddZp8YDzYnJaPODMmJoc2qZPURRFURSlCaBP+hRFURRFUZoAmvQpiqIoiqI0ATTpC4GI/FdEVorIdzWfkSH2GyEiv4rIIhGZmOSY7hSRX0TkBxF5VUQyQ+y3TETm18RdmIQ4wh6ziDQTkRdqtn8jIj0SHUOQr64i8omILBCRn0RkQj37DBMRf9C5vD5Z8QT5DHsOpJrJNWX0g4gMSHZMimIFp2mfU3SvxodqX+S4VPucjDFGP/V8gP8CV0TYJwVYDPQC0oHvgb5JjOlQILXm++3A7SH2WwZkJymGiMcMXAg8UvP9JOCFJJZJJ2BAzfc2wMJ64hkGvNnA9SfsOQBGAu9QPeb7YOCbhoxPP/oJ9XGa9jlB96wes2qfap/TP/qkLz7ygUXGmCXGmHJgBjAqWc6MMe8bYyprFr8GuiTLVxisHPMo4Kma7y8BB4lIUia0McasMsbMq/m+EfgZ2CkZvhLMKOBpU83XQKaIdLI7KEWxSINpn0N0D1T7EoVqn41o0hee8TWPn6eJSNt6tu8E/B60/AcNd9GdTfXdUn0Y4H0RKRKRsQn2a+WYt+5TI9Z+oF2C46hDzauUvYFv6tk8RES+F5F3RGSPZMdC5HNgZ91RlEg4Vfvs0j1Q7bOKap+DSbU7ADsRkQ+BjvVsug74H3AT1RX4JuBuqgXHtpiMMa/X7HMdUAlMD/Ez+xljVopIB+ADEfnFGPNpciJ2BiLSGngZ+JcxpniHzfOonntxU037pNeAPkkOqcmdA6Xx4DTtU92LHdU+JRqadNJnjDnYyn4i8hjwZj2bVgJdg5a71KxLWkwichZwBHCQMabeQRaNMStr/q4WkVepfi2RqIvOyjHX7vOHiKQCXmBdgvzXQUTSqBa96caYV3bcHiyExpi3ReRhEck2xiRt8m8L5yDhdUdRrOI07WsEugeqfZZQ7XM2+no3BDu0MTgG+LGe3eYCfUSkp4ikU91wd1YSYxoBXAUcZYzZEmKfViLSpvY71Y2g64s9Vqwc8yzgzJrvxwEfhxLqeKlpLzMV+NkYc0+IfTrWtqsRkXyq630yhdjKOZgFnFHTk20w4DfGrEpWTIpiFadpn0N0D1T7rMSk2udwmvSTvgjcISL9qX7FsQw4H0BEOgOPG2NGGmMqRWQ88B7VPbumGWN+SmJMDwLNqH5kDvC1MWZccExADvBqzfZU4DljzLuJCiDUMYvIjUChMWYW1UL0jIgsAtZTLY7JYl/gdGC+iHxXs+5aoFtNvI9QLb4XiEglUAKclCwhrqHecyAi44JiepvqXmyLgC3AmCTGoyjR4DTts133QLXPIqp9DkenYVMURVEURWkC6OtdRVEURVGUJoAmfYqiKIqiKE0ATfoURVEURVGaAJr0KYqiKIqiNAE06VMURVEURWkCaNKnxIyIPCIi++6w7kkROc6umBRFUZKJ6p7SmNGkT4mHwVRPgK4oitJUUN1TGi2a9CnbISIDpXqi9eY1o6v/JCL96tlvd2ChMaYqzG/dVHMHnCIiy0Rkkoh8JyKFIjJARN4TkcW1A3cqiqLYgeqe0lTQGTmU7TDGzBWRWcDNQAvgWWNMfdMZ/RMIOeK9iNwJtAHGGGNMzQjtK4wx/UXkXuBJqkeUb071ND2PJPRAFEVRLKK6pzQVNOlT6uNGqueZLAUuCbHPYYSePuffwDfGmLE7rK+dp3I+0NoYsxHYKCJlIpJpjPHFGbeiKEqsqO4prkdf7yr10Q5oTfUda/MdN4pISyDTGPNnCPu5QK6IZO2wvqzmbyDoe+2y3oAoimInqnuK69GkT6mPR6m+a50O3F7P9uHAJ2Hs3wVuA94SkTaJD09RFCXhqO4prkfvMpTtEJEzgApjzHMikgJ8KSIHGmM+Dtrtn8BL4X7HGPNijfDNEpGRSQxZURQlLlT3lKaCGGPsjkFpZIjIPGCQMabC7lgURVEaAtU9xQ1o0qcoiqIoitIE0DZ9iqIoiqIoTQBN+hRFURRFUZoAmvQpiqIoiqI0ATTpUxRFURRFaQJo0qcoiqIoitIE0KRPURRFURSlCaBJn6IoiqIoShNAkz5FURRFUZQmgCZ9iqIoiqIoTQBN+hRFURRFUZoAqXYHEA3Z2dmmR48etvjevHkzrVq1ssV3KJwWk9PiAefFZHc8RUVFa40x7aOxGSFi1lr5bXjPGDMixtCUMKj2bcNp8YDzYnJaPGBvTKp722hUSV+PHj0oLCy0xXdBQQHDhg2zxXconBaT0+IB58Vkdzwisjxam7VAoVj4bUN2DCEpFlDt24bT4gHnxeS0eMDemFT3ttGokj5FUWzCgvhhkh6FoihKw+FC3dOkT1GUyFgRP0VRFDfhQt3TpE9RlPAI1rp8VSU7EEVRlAbCpbqnSZ+iKJFx4R2voihKWFyoe5r0KYoSGReKn6IoSvrFEYMAACAASURBVFhcqHuuGqfP5/OxfPlyfD5fo7CN12d5eXmD+9QySo6tXefFMmLho9hGU6mzsV7T8fiMx1bLyJk+LeNC3XPNkz6fz0dRUREej4dAIEBubi6ZmZmOtU2Ez7KyMoqKihrUp5ZR4m3tOi+Wsdq2RbGFplJnY72m7Y5Xy8hZPi3jUt1zzSH5/X48Hg8ZGRl4PB78fr+jbRPhMyUlpcF9ahkl3tau8xIVLrzjdQtNpc7Gek3bHa+WkbN8RoULdc81T/q8Xi+BQIDi4mICgQBer9fRtonwWVVV1eA+tYwSb2vXeYmKRihuTYWmUmdjvabtjlfLyFk+o8KFuifGNJ6RBfPy8ky4Uel9Ph9+vx+v1xv1Y95ItuFGE4/Vb7zxzpkzh/z8/Ab1qWUUn22oMkqmz2BEpMgYkxfN7+eliCm0MHuSbCTq31as4UTta6g6u6NdLNd0suPVMnJ2GanubcM1T/oAMjMzY36nb4dtvD7T09OjttcySr5PO44z4e34gnFp2xY30VTqbKzXdDw+47HVMnKmT0u4VPdsPSQRyRSRl0TkFxH5WUSG2BmPoighcGHbFjtR7VOURoALdc/uJ333A+8aY44TkXSgpc3xKIpSH41Q3ByOap+iOB0X6p5tSZ+IeIGhwFkAxphyoNyueBRFCYMLxc8uVPsUpZHgQt2zrSOHiPQHpgALgL2AImCCMWbzDvuNBcYC5OTk5M6YMaOhQwVg06ZNtG7d2hbfoXBaTE6LB5wXk93xDB8+PPoGzWliCi00m5G1jatBs12o9sWH0+IB58XktHjA3phU94IwxtjyAfKASmBQzfL9wE3hbHJzc41dfPLJJ7b5DoXTYnJaPMY4Lya74wEKTZTXam4qxrSP/Inlt5viR7UvPpwWjzHOi8lp8Rhjb0yqe9s+dnbk+AP4wxjzTc3yS8AAG+NRFCUULmzQbCOqfYrSGHCh7tmW9Blj/gJ+F5Fda1YdRPXrDkVRnIYLxc8uVPsUpZHgQt2zu/fuxcD0mt5rS4AxNsejKMqOuHS8KptR7VMUJ+NS3bM16TPGfEd1+xZFUZxMI7yjdTKqfYrSCHCh7rkqj/X5fCxfvhyfz9cobOP1WV5e3uA+tYySY2vXebGMC19zuImmUmdjvabj8RmPrZaRM31axoW6Z/fr3YTh8/koKirC4/EQCATIzc21PD2LHbaJ8FlWVkZRUVGD+tQySrytXeclKhqhuDUVmkqdjfWatjteLSNn+YwKF+qea570+f1+PB4PGRkZeDwe/H6/o20T4TMlJaXBfWoZJd7WrvNimdq2LZE+ii00lTob6zVtd7xaRs7yaRmX6p5rnvR5vV4CgQDFxcUEAgG8Xq+jbRPhs6qqqsF9ahkl3tau8xIVLrzjdQtNpc7Gek3bHa+WkbN8RoULdc+2GTliIS8vzxQWFobc7vP58Pv9eL3eqB/zRrItKChg2LBhCfUbb7xz5swhPz+/QX1qGcVnG6qMkukzGBGJfmT6ZmIKO0feT5Y1spHpGxFO1L6GqrM72sVyTSc7Xi0jZ5eR6t42XPOkDyAzMzPmd/p22MbrMz09PWp7LaPk+7TjOJPSji8YF97xuommUmdjvabj8RmPrZaRM31axoW656qkT1GUJODS8aoURVFC4lLd06RPUZTIuPCOV1EUJSwu1D1N+hRFiYwLxU9RFCUsLtQ9TfoURYmMC8VPURQlLC7UPU36FEUJj0vbtiiKooTEpbqnSZ+iKJFx4R2voihKWFyoe5r0KYoSGReKn6IoSlhcqHua9CmKEhkXip+iOJXCuZ9QWPgyzZt34JRTJ5Kenm7Jrqqqipkz7yM1tQPffPMBgwYdYtnnypUrePPNyaSkNOPEEyfSpk2bWMN3Dy7UPVe9sfb5fCxfvhyfz9cobOP1WV5e3uA+tYySY2vXebGES+egdBNNpc7Gek3H4zMe21jsPvn4ZVauPIlx4x7iqKP+wy23jCQQCFiyveeeUxk69Crat1/NunUn8e67T1uy+/33pcyceSjnnXc3p556K3fdNZzNmzdbjhkaVz2yhEt1zzVP+nw+H0VFRXg8HgKBALm5uZZH6rbDNhE+y8rKKCoqalCfWkaJt7XrvERFAu54RWQEcD+QAjxujLlth+3dgKeAzJp9Jhpj3o7fs7tpKnU21mva7nijtfvll6e44ILVAGRlwdChn/LNN98wZMiQsHZr166la9cP2WmnAL/9BiNHrmfy5CcZMeKMiD7feus+Jkz4FY8HWrSAsWOLeP31JzjllPERbeM5VsdrX4Ke9DlJ+xphnlo/fr8fj8dDRkYGHo8Hv9/vaNtE+ExJSWlwn1pGibe167xEhVj4hDMXSQEeAv4J9AVOFpG+O+z2f8BMY8zewEnAw4k7APfSVOpsrNe03fFGaxcIbP9vuazMQ0lJSUS7lJQUysq2vxBLS609IRRJoaoq2A7Ky6tCG+xAY6pHURGn7oHztM81SZ/X6yUQCFBcXEwgEMDr9TraNhE+q6qqGtynllHibe06L1ERv/jlA4uMMUuMMeXADGDUDvsYIKPmuxf4MxGhu52mUmdjvabtjjdau0GD/sUTT+xERQUsWuTho48Gs/fee0e0a9u2LevWHcm8eWkYA9OmZbPnnhdY8nnssddw22398Plg5Up44IG9OfzwUyzZQuOqR1GRgKQPh2mfGGOS9dsJJy8vzxQWFobc7vP58Pv9eL3eqB/zRrItKChg2LBhCfUbb7xz5swhPz+/QX1qGcVnG6qMkukzGBEpMsbkRfP7ea3EFO4WeT+Zx3JgbdCqKcaYKTV+jwNGGGPOrVk+HRhkjNn6/khEOgHvA22BVsDBxpiiaGJ1K07UvoaqszvaxXJNJzveRJfR4kULePfdp2jeoh3HHHMuWVlZluyMMcya9QxlZR569epFXt4+ln36fD5eeeVhqqqEUaPOoUOHDpZta+2dWo/s0r0a347SPte06QPIzMyM+Z2+Hbbx+kxPT4/aXsso+T7tOM6ktOMLxtod7dpohXUHTgaeNMbcLSJDgGdEpJ8xxto7qiZMU6mzsV7T8fiMxzZWu5179+Wi8bdHbScijBp1BgUFBVElfFAd69lnXxu1z2D7xnJeLNMwugcNqH22v94VkRQR+VZE3rQ7FkVRQhD/a46VQNeg5S4164I5B5gJYIz5CmgOZMcXuHNR7VMUh5OY17uO0j7bkz5gAvCz3UEoihKG+MVvLtBHRHqKSDrVjZVn7bDPCuAgABHZnWrhW1MnFJHiCJ+NIrIw1kNtQFT7FMXJJCbpS4j2JUr3bE36RKQLcDjwuJ1xKIoShgSMV2WMqQTGA+9RnejMNMb8JCI3ishRNbtdDpwnIt8DzwNnmfobHS82xmSE+bQBohtkrIFR7VMUh5OgcfoSqH0J0T1bO3KIyEvAJKANcIUx5oh69hkLjAXIycnJnTFjRsMGWcOmTZto3bq1Lb5D4bSYnBYPOC8mu+MZPnx49A2aW4sp/Efk/eRrov7tWBCRXsaYJfHuYyeqfbHjtHjAeTE5LR6wNybVvW3Y1pFDRI4AVhtjikRkWKj9anrBTIHqHmyheocmm3A9U+3CaTE5LR5wXkxOi8cyDpqOyEoy5/CET7UvDpwWDzgvJqfFA86MKSIu1D07X+/uCxwlIsuoHrfmQBF51sZ4FEUJRWLatiQdEZkSeS/bUe1TlMaAC3XPtqTPGHONMaaLMaYH1Q0bPzbGnGZXPIqihKBxzUH5qN0BREK1T1EaAS7VPVeN06coSpJwyB1tJHQwZyXRrFu3jt8W/kz3HjvTqVMny3ZlZWW8OesJ/P6/OfzIceTk5Fi2LSr8grnfPE+bjK4cPXo8rVq1smQXCAT48IOXKC6uYOGvC9hl1x1n+wrNpk2b+OLzd0lLa87QA0aQmmo9PSgpKWHlypV07tyZli1bWrZzPC7UPUfkqcaYgvoaMkeLz+dj+fLl+Hy+RmEbr8/y8vIG96lllBxbu86LZRz4mkNEPhGRj3f8NHwksdOYtc8un7Fc07H6/PKLt3j5xXyap+/Pu+/056UXJ1uy27hxI3dMGsbgvS/g5GP+yysvDGTunA8t2b408y7W/zmS809/iBH7T+TOSUPZvDlyZ3RjDLffegxdsk8ju91f/FA0lNdffdCSz9V//8Xk+4ayS8/jyWl3JDfecDBlZWWWbIuKCpgyJZclS/rz8MN7UlCw42gk4XG09rlQ91zzpM/n81FUVITH4yEQCJCbm2t5pG47bBPhs6ysjKKiogb1qWWUeFu7zktUOPOO94qg782BY4FKm2KxjaZSZ2O9puPx+c03N3LphOq28f37r2bSbXewbt2ptGvXLqzdKy/dw4RxX5NRM5vqBef+zj0P3c7A/IPD2gUCAf5e+RTHnVsMQLt2cMl583ju2ds57/wbw9p+/tm7HHbge/TdvYLVX8NxR6/j3ocfwZiLEAl/Ac98YSJXXfYttQ/3Lu00m2lTb+CCC28Nawcwe/Z1XHZZ9XCThx66mP/85xr69x/q2HoUFS7UPUc86UsEfr8fj8dDRkYGHo8Hv9/vaNtE+ExJSWlwn1pGibe167xYxqFtW4wxRUGfL4wxlwHDGj4Se2kqdTbWazoeny2ab9puuUOHEv7++++Idls2r9ya8NXikbX17xxEeXk5LVts2G5d27awYX3kzugrlv9E717bP51rlr6eysrI+UBq6iaC3+a2bQsbN/4Z0Q6gZcuN2y23abPF0fXIMi7VPdckfV6vl0AgQHFxMYFAAK/X62jbRPisqqpqcJ9aRom3teu8RIUzX3NkBX2yReQwIEkF4FyaSp2N9ZqOx+emzXuwsSanKS+Hn3/pSufOnSPa7dl/NLM/3zYmXXExGBkQ0a558+as3bA7gaAZVz+a3YIBA0+IaHvwoafz4qvbYquqAp+/L2lpaRFts9vvy08Lmm1dfuOtDHJzR0W0Aygp2Yt166q/r18Pa9b0cnQ9igoX6p6tgzNHS15eniksLAy53efz4ff78Xq9UT/mjWQbboyhWP3GG++cOXPIz89vUJ9aRvHZhiqjZPoMRkSiH6Q0Q0xhfuT95KOGGaR0qz+RpYChWnorgaXAjcaYzxsqhobCidrXUHV2R7tYrulYfZaUlDBt6gQCgV8p3pjJKafcR8+ePevsV18ZvfjCnfyx4llENlFeNZBLJjxJ8+bNI/r84/dlPP/subTPWoCvuBXerJMZc074V7u1fPLRTL4tuosu3U9nyaK3GXPONHI6Ru58Yozh6Sf/y8aN71BWZujW/UyOP2G8JZ/l5eU89dRESkp+pry8E2eccRsdOnSos5+d9Uh1bxuuadMHkJmZGfM7fTts4/WZnp4etb2WUfJ92nGcSWnHF4wD27YYY+r+922iNJU6G+s1HavPFi1acNH42IZ+PP7EK4Ero7br0rUHV17zIZs3b6ZZs2ZR9aIdftAJDD/oBAoKCjjhxIst24kIZ465Abgh6njT09M577x7orarxdHa50Ldc83rXUVRkoRD27bUh4h0tDsGRUkErVq1iirhUxKMS3XPISEriuJoHNi2JQRT7Q5AURSX4ELd09sIRVEi4xxxC4sx5nC7Y1AUxSW4UPc06VMUJTIOFj8R6UD1eFUAGGNW2BiOoihuwYW6p693FUUJj0Pbtoj8P3tnHR7F9bbh++xGIYoGC+4OwaUUL0VKgSJtoS0UadEi9a/2q0EFh1KgtGgLBYoUh2AFQoIUt+DBycZ193x/JCEJWY3tZDv3deWCndln3nd3Z589M0de0VMIcYmU2Wt7gWvAlvzPREVFxeFwUN9TG30qKiqWUebYli+A5sDF1BltHYDDdslERUXF8XBA31MbfSoqKpZRpvklSSkfARohhEZKuQfIt/WyVFTykoK0hq7D4oC+p47pU1F5Cr1eT2xsLJ6envZORTkoc2yLTgjhAewDlgsh7gOWK9Or/CdJa0RZqkP7NDeuX+No0Fbq1G1N9Rp1rNIYDAZW/joV3Z3taDUJJDvVZtDrX1PEQs1egH/2bSZo9w+4E0qSoTBan3YMHf0DLi4uFrUnjh1i/86Z+JVvz/yZ6+n/6if4+vpalbNeryfoyH7c3QtTv0GAze+TQ6LMtyBHvqc2+lQcjtjYWObPe53ChU7jW2QMBw9E06p1d6u0G9bP48a1Ofh4P+L2neoMfHkR/uUrW9RJKZk3dyyCQPR6LaVKv0afvuNz+lKUQdrYFuXRC4gDJgAvk1KKyLrSBSr/GaSUzJk9CifNLqQUaLTPM3zkD1Y1apYs+gAP7UKeafGAkH+92br5Rca+s8iidu4PI+nZYDH+TfUAJCb9w7SpJ5jwSSCFChUyqQs5spe7IW8yvvudJ9t0UWeY8eVdJn+2xmzMvbvX8vjSW4x+4R57rwbQvdYMfpy2n9Hv7cHr6ULAT3Hl8llWr3iVzs+cJDrCma8+a87b49dZtfDxwwf3WbJkGJ6eYURFlWLIkIUUL1HSok7xOKjvOVSjzx5lgXKizWnMxMREdDqdYkqM5YU2O7pFC99m+NA/8PCAwAMxnD71NlWrNTVaGigjt2/dIkr3OaNH3gVAyrt8P+ttJk3ZajHmqpXf8lzn+VSsmFLcfOeuzzh8qDbNW3SyKmd7fS5Wo8ArXill2tWtAfjVnrnYm4Ly3cyNmLb63qoV39K9yyIqVEj5bp47P5f166rQ+8W3zepCr1zC120BvbqmFJbt2j6C4idXsC/wRZ551vRF5J2wMEo4b8C/lP7JNhdnGN79KOv/mM2g16aY1B7Y/iPjnruTaZuPJ9QuvptLF89RtVpNk9oTh2Yw7qV7Tx67u8HofsdYs+Jb3hj5pdnXumHtZN4dc4yUtqyeJo0CWfjbu7w99iezOoBFi15h4sQdODlBcjJ88+1APvpot0VdGor2Pgf0PWW2Y7OBTqcjJCSE0NBQQkJC0Ol0itbmRsyEhIR8j1kQ3iMX51A80mud07b1DY4e3W9Rd/DAerp2uvvksRDg7nbRqpiRESefNPgAOrTXcfjwRqu09vpcbEJBY1uEEJty4zmOQkH6buZGTFt9LzLy1JMGH0DNGoncvHnIou7QP3/RvtWjTNsa10/gxPENZnUnjx+gac17WbYXLwJR4WfMat1EmNHtzWqEczJkj3mtJuuKHV4ekBR3yawOwN01lIw3L11dQerPW9QB+PhcI61wiJMTFHK/qOjzyCYc0PccptEXERGBRqPBy8sLjUZDRESEorW5EVOr1eZ7zILwHsXEFkGffpHN8ZNeeHtb7m6oU7cNQSGZx/FFxxSzKqYQpciY3ukzzvj6Wlci0V6fi00oyPyA1kKIDWb+NgK18jUjO1KQvpu5EdNW3xPCj8jI9McPHoDBYPl7XbNWC06eLZxp29UbgsKelczqKlWpw/nr3lm2x8SC1rWUWW2iLGJ0+/mb7lSoVM+sNkGf9TUlJoJBFDerA0hMzlzFS0qIirFuLGBUVOa4j8O9FX0e2YQD+p7DdO96e3tjMBiIjIzEYDDg7Z31S6ckbW7E1Ov1+R6zILxHAwfO5stvblG39nmSDE5cvzGAbt0tD8CuVbs+O3cMInLNSurUiuSvzeVo1uJ9q2IOfu0rvvn6FLVrHSE6WsvFS62Z8u5rVmnt9blYjfLGtvSy4jmJeZ6FQihI383ciGmr7w1+7Uu+/uo4rZr9Q7IeduxuyAcffmhR16hxK6Z++TzFiqylRtVkbt6GmYsa8MEnQ83qqlWvxbrlrWkbt5lC7unbf95QiVfGTTKrrdrgZY6eP0CTGunj8vV62HW6IR+/1sqstnTlgRw/d4aGNeOebFuwtjy9X3/PrA4goNkkFiy9xOB+t4lPgOk/+dO7v+X3COC552bw1VdvUqrUTUJDi1K58luKPo+sxkF9TxSkaeEBAQEyODjY5P68HBsQGBhIu3btcjVuTvMNCgqiadOmihmHo6T3SK/Xc/78eW7evEnz5s1t0p46dYrz507Quk1HSpUyf2WeESkl58+fJyEhgQoVKtj0HuXXuBYhRIiU0qZlTQKKCBlsxdBE8Qc2H1vFOpToffYa05cd3zMYDBw7dozo6Gjq169v9YxWg8HA1r9XcvnSbtzcK/DCiyOMjg1++j2Kjo5m0ey30Cb8g1YTR3RyDZ7r8zV16jW1GPP3377l0ZVfqe9/kTvhXlx40IhhE5ZS0s+yF61bPZtr55ZTpuor3Li0mW4vfk6tOtZ9Je+EhbH2zx8xGLT06v0W/v7+Vukgxftu3bqFXq/Hx8dHceeR6nvpOMydPsDkyaZUbU5juri42Kz/r7xHWq2W2rVr8+DBA5v1devWpW7dujbHFEJQs6bpgdbmsNfnYjUKHNCskk5B+m7mNGZ2fE+j0RAQYPvvskajoVv3l0mZJGk9Hh4ejHvvtyd3Jp2dna3W9h/8LgkJ47lw4QIVihalb5kyVmt79xsNjCYwMJCXBpqfqPI0pUqX5u0x02zSpCGEoFy5ctnSKtr7HND37HbzUghRTgixRwhxVghxRggxzl65qKioWEBZY1sKNKr3/XfQaDQ2NfjScHV1pV69epSxocGnkgc4oO/Z805fMjBRSnlMCOEJhAghdkgpz9oxJxUVladR3tiWLAghfIFyUsp/7Z2LFajep6KidBzU9+z2kqSUd6SUx1L/HwWcA9TLGhUVJaLAK14hRKAQwksIUQQ4BvwshPgh/zOxDdX7VFQKCA7oe4oY0yeEqAA0BI4Y2TccGA5QsmRJAgMD8zO1J0RHR9sttimUlpPS8gHl5aS0fKxGmd0Y3lLKSCHEMOA3KeUnQoiCcKfvCar32Y7S8gHl5aS0fECZOVnEAX3P7o2+1BpyfwLjpZSRT++XUi4AFkDKDDZTs0PzGnMzU+2F0nJSWj6gvJyUlo/VKNP8nIQQpYCXAOvWl1AQqvdlD6XlA8rLSWn5gDJzsogD+p5dG31CCGdSTG+5lHKtPXNRUVExgXLHtnwObAMOSCmPCiEqAZbLDygA1fscG51Ox9pF00i4eRSN1JPk4U/nVyZRrWZtszqDwcD6ZQu4dfhPXOLuYNC6oS/ZgF5vfoh/BesWe1fJJRzU9+zW6BMpFasXAeeklIofh6NSsLgaepnAnSspWrIOycnJODlZd6obDAYCd23k1s1ztH6mD5UqV83jTAsICrzilVKuBlZneBwK9LFfRtahep99iIuLQwiBm5ub1Zo92//k1D+LcTHcIUkUxb92P3q9NNys5uzJELb/8CpDK57DM7UQkMEAf/24iVPNP6DPGxOM6vR6PdPG9+clzTpeLGZ4sj3ZEMKS/9tN/TcX0qRNe5NxY2JiWDJrIjL8AH71RjDj/Y+o0OBlevUfZfXrvXv3Li4uLhQpYrwyyH8OB/Q9e97pawW8CpwSQpxI3faBlPJvO+akoiCCjuwg6PAcNJp4ipfoQt+XxiOE5W/hT7PGU9JlGQNbPWLv1e+Y+n/NeXXkasr5m79Svn/vHgum96Z326M0b5LMzt3fsXXDAEaNn2VV3G1bl3ItdB3JyVpatRlPg4bmV9AvUOSC+QkhugIzAC2wUEr5jZHnvAR8CkjgpJRykJHnzErdbxQp5dicZ5unqN6XDQwGA3/88SNabXH27PmTZ5+17ncuMjKSn+e+jm/ho0ipITK+BSNGL6JQoUJmdetWzqJo+MeMfTa9vNfpawdYNOsyQ8dMNarR6/Vs/HE479Y4l2m7RgO9Kz5kU9D/+Ld+K+o1zrpI87JZX/Cay1r8Cmc+tZ00MKzCVb7/aTwNmocYXQJGr9fzw0c9eefZ3RR2g8D4RPo+e5DjocdZufgxA98w3wt46+Y1Vix5gypl/yUh0Znbj5ozcuxSPDIWMTdBcnIyS3/7hIT4K7i6VebVwZ9ZfZGteHKp0Zcb3pdbvme3T0ZKeYBcbkfbY4X4nGhzGjMxMRGdTqeYihy5qb144TSXzw1h9PA7AJw9F8jvKxMZMOhds7qD+7ZRz+9nWjSIBcDVBd4bEsL038bwzkfma1EvXzSa94YcelI8vOezjzh2ZhF7dnagfafeZrVbt/yKm3YcI4am/EAsXHIIN7dN1KjZwOJrBft9LlaTw2+qEEILzAE6AbeAo0KIDRmXKRFCVAXeB1pJKcOFEFlLH6RgujRFAcBRvC+/Y86Y8Tp9+iwnNPRbtNrRrFlzk759x1vULZz3Jm+/vJa0G3wxMddZOM+NsRN/MalJTEwk7PQCenfOXM+1ToV4TuxdycOHUyhWLGut223rV9Kn+EmTx33e/zEz/5hOvcYrMm2XUhJ56m/8ypiukNWv2Gk2/b6Y3q+MyBp30yr619tH4aduYjasFMuRPcuIj59o9g7niiVvMHnYHtKubePi1rNg/luMm/SbSU0a0398lcEv/06JEpL79+Hbb87x4UfWj1hQtPflzsVubnlfrviegzTHUz78kJAQNBoNBoOBxo0bW30S2EObGzETEhIICQnJ15j5pd21cx4jXrvz5HGtmgns2LMRMN/o+zfkD0Z1j820TaMBd81Ji928rvzL07sb1Y5n7l/rLDb6roWuY+Sw9B+IoUNuM3PeXGrUXGBWB/b7XKwmd8a2NAUup3ZFIIRYRUotyYxr070JzJFShgNIKe8bO5CU8tccZ+NAFFT/skWbkJCAp+cu/P31hIZCmzZRzJr1B2C+0SelxE0bQsb2TuHCIPSHzepOHA+hefkzRvc91+AWu7au4qVXRmfZd/P0froV0Zs8rhDgFn01y/ZHjx5RKvma2Zz8vSRbLgQBWRt9189up1vjZKO6luXPExL0D63aGu8avnv3LpXLnCRjZ4a7O2j0QWbzgZTGcRGfg5QokdJYLVECivge4O7du/j5+VnUK9r7cm9MX654X275njKHKWaDiIgINBoNXl5eaDQaIiIiLIvsqM2NmFqtNt9j5pfWycmdpKTM2xKTrLjsEs4YDFk3JyVpLXbRSiPXQFKmHNMSer3mqccQvqzJTwAAIABJREFUn2ja/DNir8/FJqxbr6qYECI4w1/GwU9lgJsZHt8i69p01YBqQoiDQojDqV0iplMSorgQ4jshxN9CiN1pfzl4lQWSgupftmi1Wi1xcZm/v/Hx1sWTMuv3NynZ/E+fi4sr8cnGv/fxieDiarxrWFrxk2owcvvIycmJZGlZK4WJ5wjTF7MJyVpcXN1N7nd2diYxySXL9mQL7xGkVBxJTNRm2hafoCE6OtqiFgqA9+Xc9yCXvS+nvucwjT5vb28MBgORkZEYDAa8vb0Vrc2NmHq9Pt9j5pe2R8+JzF5QmeTUi9dNWzypWv1Vi7p2nUaxcW/RTNviEyBeNEGr1ZpQpeLWiqinvGrLfh9athtmMW7T5mP4bXlpAJKT4fOvy9O792SLOrDf52IT1pnfQyllQIY/y7c5M+MEVAXaAQNJWXTU3KX7clIWNq4IfAZcA47aGLPAU1D9yxatk5MTLi4D2LHDHb0eFi8uRq1ab1nUCSHQuLXn3oP0bTduC1w9OprV1avfgKAb9Yzu++tYJTo/P8Dovrpte3P0rulu1CQ96IvWybLdx8eHe+7VzeZ06pEL1Zp3M7qvfssBHLlovGF36GZdGgVkHUOYRtGiRbn9qDlxcenb7twTaN2fNZsPpHwuzq79OH48JXbIMVceP25rtOvbGIr3vvzxPbDN+3Lkew7Tvevj40Pjxo2z1b9vD21uxAwKCrLplnZBeo/8SpWi/8BdzFn4PxISdDQKeJmOHV+wqKtZuz4Xzn7KvNVzaFrrPLokLd/t68K49xZb1L4xagZzvw/Hv8geyvs9Ivh8FUpUHEWDRi0saps0fZZChdYzY+5PJCQaeGXwFKpVq2FRB/b7XGwi52NbbgMZK7KXTd2WkVvAESllEnBVCHGRFCM0ZWhFpZSLhBDjpJR7gb1CiP9co6+g+pet2hEjprF7dzsePYqkYcPNNGxouiGTkTdHzeCXn92IjdyDXm+gkFcHRo2eZlaj0WgI6PwxS/e+xaDWt9FqU+76bwgqQpkGE01OAmnZrhNfLW9KI8M+tEZuqay46k+Pj94zqi3fegCng45Sxzcuyz4pYWN0I95/zrgHtmjTke92vICfzx+UL6FP1xwrQY3WEy1e8I4cu5QF899Cow8iOVmgdW/P2+NmmtWkMXTYVLZtbcjMOQcoUrQ6EycNVvR5ZBO5M/I2t70vR74npDQ9cFRpBAQEyOBg+4zhVuLCkkrLSUn5xMXFcerfE+gioujcubNN2rCwMO6EhVGrdm3c3U13i2QHe79HQogQKWWALZqAEkIG97Xi2PMweWwhhBNwEehAiuEdBQZJKc9keE5XYKCUcogQohhwHGggpXxk4piHpZTNhRDbgJlAGLBGSlnZltdXEFC9L538zCf0ykW2rJ6Gk+EOSRShbbcx1GvQxGxO9+/dZcH7/XjB5wh1iqeMUXkYAytuVqPhy1Np07mXyXgLvpyI/5VFdC4TgSa1wXE3Bpbca8jAz/+gfKUqJrUGg4HVS2fy4MpmStboQ9jFnbTpNo5GTdtk/w3IRex5HtnL91Jj56r35dT3HOZOn4pKRtzd3WnarEW2yv6ULl2a0qVL535SBZkcXvFKKZOFEKNJWVRUCyyWUp4RQnwOBEspN6Tu6yyEOAvogcmmGnyp/E8I4Q1MBGYBXoDxRdBUVLJBpcrVePu9n23SlCjpxwcL97Jr81r2H9mIRuopXKY2Q98fS+HChc1qh3/4PWdOvsKcldNxibuLXrhQpPazjP/yLYvrC2o0GvoPGQ+MJzAwkH6DRtqUt4oRcuFOXx54X458T230qaioWCZ3zO9v4O+ntv1fhv9L4J3UP2uOl7YGTwRgeQCSiko+odFo6NSjL516WHGr6Clq129I7frqBHVFkEsLK+Wm9+XU99RGn4qKimUUuDK9EKI4KUsdVCCDl0kp37BXTioqKg6EA/qe2uhTUVExj3JrUP4F7Ad2ktIloqKiKOLj40lKSsLDw8Oqqj4qCsJBfc/qRp8QwovMrcrHtgZTUVEpoCjz96qQlNL8at25gOp9KrYQFRXF2h9/JGLLFrxv3sTJYCDc1xdatOD5996jYhXTkzEgZUHpoH17CT11HHdPL57p+SK+vr75lL1KJhzQ9yw2+oQQI0hZCyae9LpvEqiU3aAqKnmJXq9n67oV3LoQQtEqTQm7fZvSZZ5eC1PFJpRpfpuEEN3yqmat6n0qANevX+fa5fOUKluBatXNr6V35exZ/hw0iDdPniRTM+3OHZLPnmX1339z+tNP6TH86fV7U9j06wIu/7mYlg9O0M0pgVg9bPjlc8Krt2LIN3PUxl9+44C+Z82dvklAHSnlw+wEUFHJCQkJCSQnJ1uc9ZbGwV2bCVr2IT2LneZ5Xz17DN9x8NMAwoo/x9ufL7BYCPxEyGEObJ2Ps4jBybMKvV+eTJEiRXLjpRRslGl+44APhBAJQBIpWUoppVcuHV/1Pgfi4cOHaDQaq7/PVy6eZf3cCVSRR6nqFc61GE82Jzem7cBPadzimSzPf/z4MesGDGDyqVNGvy5OwMA7d9j20UfsK16ctr0zl3Zc/t3/qPLXVLo7RUHqRF1vJxjCDRLP32DaoEu8tWK7yYaflJIdm1dzMWQVftWeY9b/ltKt/xQqVzXfUFUxgwP6njWNvitArMVnqaiYIDo6mmvXrlG2bFmrF9CMiYnh51nDKSwO4eqcwIPomjzf9ztq1GpgUnP+1AmurxrFhKrpFW+EgH4V73I/+hfmf6Zl9Beml1/4bf4n+EXN4O0mEQgB0XGw6Kt1dBqynFp1G1vM+fHjx2z8ax7u7t706DU019f4sxsKHdsipfTM4xCq9ymMw4d2E/74IRcvnKZa9ayVLYwRevkcfy4djX/R0xgMGm7p6jFw6E+ULVfBpOZO2G02TuvDOw3OP6lJW4soOhPIb8sG4+a+htpPrde35quveMtEgy8jXR48YMasWZkafVcvX8Zl3QyauUQZ1bhoYHJsMPM+GMO4ecuy7JdSMvurkbT1/ZXOTRIITG5F7/qLWfnrdm63m0VbCwvb6/V6li35ghjdfiROlKv0Ij17Z63xa4rbt29z8cIJqlarT9myZa3WKRoH9T1rGn3vA/8IIY4ACRkCj81J4LxAp9Nle3Vue2hzGjMxMRGdTpevMW3VHj++n/37h9Ow4RUCA0tRseIXPP/8YIu6+T8OYVTPPymU2m6SMozvlr5C+Q+OmmxMbVv6DWMr3DS6r4QHFLmymfv371OiRIks+y+eP4P341l0bpJev9HDHcZ1ucB3y96h1rd7zeZ77uwxdmztzxuDLxMTA99+vYjx7+yxqXi4Pc5dq1HgFa8QopGRzRHAdSml8erztqF6n4JiLpg/nlrVF+Dl9QUnj40hNPRbuj73mllNcnIyvy9+hfcGH3vSeDMY7vLNvIG8/+U/JidXrP35c0bXS2/wZWRw7RvMWPE1tRuszbQ9YfdujNfpyErd4GD+PXqUek1SGo6bZ3/LSCfzN5RdNOB1/uCT9y0jh/bvJKDQUupXeHKaotXCKy1vMX3rZ7R6tofZqhzzZo6iT/uFlCqZMorhxJn9rF4ZRb+Bkyy+lu3blnL/3ns0CQhj144SeHp9wot9LJfIS0PR3ueAvmdNO/YnYDdwGAjJ8KcodDodISEhhIaGEhISgk6nU7Q2N2ImJCTke0xbtYGB/8fYsedp0yaJ0aNvEBz8hUXtgwcPKON98EmDD1Lu2A3udoaN6xaa1Dk/PGnUpNPo7X+HTcvnGd23a8NcujcKN7qvdpFjXLlyxWzOO7d/zdi3LuPhASVLwuRxJ1ix7AuzmjTsde7ahHU1KPObuaT40s+pf4eB1cAFIYRtZViMo3qfQmJev36dor6/0rpVHFot9OtznzOnv7eo27ntT/o+cyKTL2g00CXgGIcO7jItfBCMk5nKZW4Rx0lOTv99TUpKonJoqMV80mgXFcWhP/988lh74yxOVvwad4i/xoGtm7JsP7bvV1pUz1q+DaB9pdMc3LfD5DGjo6MprN3+pMEH0KB2HLeurrCcEHD2zFReeTmM6tVhyOD7nD07TbHnkc04oO9Z0+hzllK+I6X8RUr5a9pfjlLOAyIiItBoNHh5eaHRaIiIiLAssqM2N2Jqtdp8j2mrtlChmEyPPT3jLGrDw8Mp7hOZZXvxIqB7fMukTmtIMLkPwN0ZkuKjje7TyFhMXQgX94hGF268QZiGk1PmfAsXhuiYp8srGsde565NKNP8woCGUsrGUsrGQAMgFOgETM2F46vep5CYjx89onSpzF2fLs7Gv8sZeXDvGqVLGLJsL108kft3r5vUOUnzXlJIm0hiYuKTxwaDAddk628uawAyPF+jt07rroH4qKxdwE7Em9QU80xG9+iuyf0REREUNeK3GmH5c5FS4u7+lMd7xBNuwS8zxla09zmg71nT6NsihBguhCglhCiS9peznHMfb29vDAYDkZGRGAyGLLe/labNjZh6vT7fY9qqNRiacvNmymn2+DGEhVW1qK1cuTJnrlXLsn3rQW/atB9kUpfgbn6G7r8PXKjWsLXRfcX9m3LrgfFv8PGwatSsVcvssT08W3PjZnqrccfuQtRv8JJZTRr2OnetJm1si6W//KdaxvqVUsqzQA0ppfW3XMyjep9CYtaoWZM9+2qRVio+NhYiosx/JwHadRzAln+yDufYfqQ0bZ41Pc4t3tX8uLTHokymYSbOzs7ctmFm7T3At0KFJ48TPYtapTsvC1G5ftbePVffWkTEGBEA+y/50aSl6RtApUuX5uKNzH6r10Ncck2L+Qgh0EXUIzq1/R0dDTdvVbR6lrGivc9Bfc+aMX0DU/99P8M2xS1b4OPjQ+PGjbPVv28PbW7EDAoKonHjxvka01btiBEzWbasGDrdcZKSSjJlyv8sarVaLbWbvsvSTRPp3zkMZ2c4eNydaxGv0K1WfZO6onWf5/aNg5Txkkb3b4+sz8QuPY3u695nKFMn/8J7zx3N1K0TetcZrd8LFCpkfrTOy69+yC+LoomO2k5SkpYy5QYwcNCLZjVp2OvctQkFjm0Bzggh5gGrUh/3B84KIVxJmdWWU1TvU0hMd3d3Bg5azdQfxlCxUiFm/9SP8RMWW9SV8y/Pds0Q9oXMpU2jlFbRjsOeaIsMp2hR0w2tqq0GcfLEXuqXynoH7XaEBp8az2caD6jRaHjcuDHcMt0TkZH11aoxeOjQJ4/9O/Xh6k/bqOia9a5kRo75NWZck6ZZtr/4ykQWfvIn73Q6m6krOzwK7mg7UspMLXEhBB27fcd3P79N59aniY1zYtuB+gwfPd+q1zJm7Ap+WTweg+EK0dHFmfDO94o9j2zGAX1PSGn8B/LJE4TQSCkNT21zk1Kavp+cRwQEBMjg4OD8DgtAYGAg7dq1s0tsUygtp9zO5+aN62zZMAN9ciyNmvWnWQvzZQb1ej3TJrzEy+7rKeedcsoGVvqONpcnsfhKJQJGLqFhszYm9ffv3WXprFGU0ByluEcUoeHlKOzfm8EjP8+11fTt/ZkJIUKklAG2aAJKCRlsRYEf8RU2HzsnCCHcgbeAtNu3B0kZ7xJPygKmlvv/zB9f9T7sf84+TXbyOXJoNyH/LAOhoXnb12kU0Mqi5qdvJlDl4SLaV4x60pA6FubGzoQXmPTtcjSa9Ns8gYGBaGNjEf370zra/GkXCSwdMYK356c3qpKTk/n6hbZ8EH0IrQmr2a/3IX70bDq99LLR/ZfOn+avxeOo6R2Mpur/cf/kTCLdOzJiyjxcXFwsvt6kpCQOHdyNe6HCBDRplesVROx5Hqm+l441d/oWAk9euhCiMLAB6JCdhDMihOgKzAC0wEIp5Tc5PaaK41DOvzzDR/9g9fO1Wi2Tf/yD1YtncP/4Blzi71C0jDtzYofQ86MPqVC5qll9iZJ+TPzfOnQ6HTqdjg5lyuDs7JzTl+EYKPCKV0oZB3yf+vc0OWrwpaJ6n4PQrEV7mrVob5NmxHs/ciyoL7M3zMMl+TFJGk/qPjuYyR27GW0QtenWjYUjR+I1Zw714oxPqogCZrRrx+Tp0zNtd3JyYsTCtXz9Zh8GPDpCFdf06loJBlij98N14BT6mmjwAVStUYdJU3cRGhrKuXNn6TX5pE13v5ydnWnbrovVz/9P4IC+Z02j77YQYq6U8i0hhC+wmZQZIzlCCKEF5pAy+PAWcFQIsSG1f1pFJVtotVoGvPkO8A6QcnXZb4j1ywdASrdBnnWTFkQUtl6VEOIPKeVLQohTpFfKeIKUsl4uhVK97z9Oo6ataNTU8l3BNIZNm8bqkiXZu2wZz50+TRV9SuMtAlhbvjxR7doxad483NzcsmhL+Pnx/vp9bPl9GVu2rsE56iHSyQUq1aXnmPcoY+X6d5UqVeLGjRuqh+UUB/U9i40+KeXHQoipQoj5QGPgGynln5Z0VtAUuJw2+FAIsQroBajGp6KiNJR1xTsu9d/ueRlE9T6V7NBv0iT0Eyawdflydh0+DHo97mXL8uLYsRYnG2i1WroPGgKDhuRTtipmcUDfM9noE0JkHIV+BPgYCAKkEOJFKeVa40qrKQNkXEn3FtDMSB7DgeEAJUuWJDAwMIdhs0d0dLTdYptCaTkpLR9QXk5Ky8dqFGR+Uso7qf99CMRJKQ1CiGpADWBLTo+vel9mlHbOKi0fMJ5TYX9/qvv7P3l8/Phxu+Zjb5SYk0Uc0PfM3enr8dTj44Bz6nYJ5NT4rEJKuQBYACmDme01EFRpg5lBeTkpIR8pJbvXr+f8ypU4RUZSpG9f7l66RO8pU8zO1ssvlPAeZQsFmV8G9gFtUrtetwNHSZnJZnrgk3Wo3pcBpZ2zSssHlJeT0vIBZeZkEQf0PZONPinl67mSnmluA+UyPC6buk1FJVucDgri79Gjee7kSTqkLpwa2KkTz02dyrqVK4nv149h332X67PSHB6FjW3JgJBSxgohhgJzpZRThRAncnpQ1ftUcoNHjx6xe8MqEuJiadS6E7Xqma4brqJAHNT3rJnIkVccBaoKISqSYngDANMr76r8p5BSsmvLOi4Gr0VDMl5lGtN70GiTdXfPHT/OoUGDmGKkXJoH8OrNm1ybOZPZsbGMmWe8FFsa4eHhPHr0CH9/f6uWOvhPoMx2shBCtCDlCjdt0TMzxbMUg+p9BYTgw/s5tHkuzsmPSNZ6U6v1yzzbpZfZC8f4+Hh++ng4RcP28FyRW7hq4fBhL/52CaDXxJlUrVnbbMx/jwURuG46rom30Qt3vCu1p8/gsUYnf6jkMQ7oe3Zr9Ekpk4UQo4FtpCS8OOMq0yqOQ3JyMjdu3KBMmTK4urpafH5iYiLT3n2RnmV30LF6yh27+xG/M3PiMvpN+J1KVWtk0fw9aRLvWKiPWyE5mXrLlhE8aBABbbKu1/f48WN+mTEMP5cj+HlHsON+Bbz8+zNo6Efq3UFlvvxxpCycvE5KeUYIUQnYY+ecLKJ6X/Z58OABMTExxMXFmbwAfJrExESWLvqUxMhDSAnuvm14dej/4eRk/udvycwPKXd/NqOrRqav0xeyiRmHBjLu00VGPcFgMPDd270Z57kVzwwFgjr6RdJB7mbWZy/i+vXf+FesbDTm2qUzcDn1BWNqPHoS837kNr4bv5Fx0/7G09PTbM5bNv7K5VPLKVXpRaZ/NY8e/T6hclXLlUsg5UL7zOnTuBcqROXKxvP7z+GAvmfy5qUQooXI4186KeXfUspqUsrKUsov8zKWin04eGATc2Y05vLpBiya34Atmy2vov/L9Mm8XXczdcum17Ys4Q1T2v7L6tnDszz/zPHj1AsOtur72TY6moOzZ2fZLqVk3td9GdN+HS8/G0aHRjGM6nqGhoW/YvVSy4XdpZTMnzeOeXPqMmtGQ9atnWVFNgUIBdaglFLuk1L2lFJ+m/o4VEo5NqfHVb0v75BS8vPPE5k/vxnTpz9DcPBuq7VLFn3Ajk0NEPI8v/zUgF07VlnUSCn5/n99ebHR14zqFchbLwTyfJ0vmP61+eFPIUcOUO7+bDpUS2/wATQqF89zHsvY8PtCo7odG1bTR7MLTyMdBELA6HIXWTfnU6PaO2FhxAZ/S/eajzLFLOEFExseYMn3483mvGbFDxSNe5sxL+ygmE8M43r9wZYVvbh546pZHcDdO7f5+ovWPLrVhIsnG/LNl92JM7HW4H8KB/Q9cz3Wg4EQIcQqIcRrQgi/nCab1+h0Oq5fv45OpysQ2pzGTExMzPeYtmiTkpI4evgDxo36l84do3jrzfNcD/3cbGFsg8FA8p3d+BTOuk8IaFHsGMePHsq0fd+iRXSIzFow3BgCcD6RdfjDkX9207HGYVyeWou5Vvl47l76w+JxV//xI506zGPUyNOMGX0CN9dPORZywKqcwH7nrlUotwZlXqF6Xx7pfv99Kh06zGTkyCDGj9/HoUNvEh4eblF39swJSvrOZVDfMAoVgreGXuTsv1+QmJhoVhcctJ9nau3CN8NKKSWKQt0y2zh/7l+Tun82zaV9VeOeUr1kEjeOG1+559KeVdT0NV0JSyPANewISUlZn7Nh6TT61b5jRAXuLuD86KDJ16vX67l7ZSlN66QX4BUCRr14mQ2rLV9TrFo+gXfH/sMzrRN4rlMUb722mWW/fmpRlxF7/Q7mmfc5qO+ZTFlKOUpK2Qj4FPAFlgghDgkhvhJCtE1dYFQx6HQ6QkJCCA0NJSQkxKaTwB7a3IiZkJCQ7zFt0V6/fp06NTLXgG7b8joHDuw0qYmKisLX6YHJ/XVKx3DpXEimbZrYWJu+e26xsVlM9/SJfTSqavzKtrDmjlGTzkj445NUrpz+nI4dHnPo0Ear8rHXuWsTCrzizStU78s7XUTESSpVSn7yuEWLUI4ft1xe7p+Da+n0bOaLxXq1rnDFwpCOEyE7aF4vNsv25nUjOBFi+i6jiz7z3bYs+5MfGt3unGT6gjaNYuiMXvjKuHu4mikA5Of60GQDOTw8HD+frHOBtFpwMliuB+zueg1thrPaywvi4k5Z1KVhz9/BPPU+B/Q9i7+VUsrzUsofpZRdgfbAAaAfKetXKYaIiAg0Gg1eXl5oNBqzd5OUoM2NmFqtNt9j2qItW7Ysl0IzryJ/JLgYfn4VTGo8PDyISDa9kvzVh66UrZB5TJ/BxSXr8uRmSHB1zTKep1LVhly4YdxxY/VFLY7/cXWrwL176Q5w+IgbJf1qWpWPvc5dm3BA87OE6n25r3N2rsD9++mPg4OL4+1dxKKuXv32HArKPIbv7MVS+GdYB88YVas35fTlrH2tJy+6U61GE5O6JK2X2eMmaY0vsqx38jCrAwiXHkbH5kkXH/QGI4JUHiZ4m1zc2cfHhwcRxbMeU0KSzLr9aeISSiEzmGhCAsTFF7OoS8Oev4N56n0O6Hs2TeRIrfn2d+qfovD29sZgMBAZGYnBYLC48rm9tbkRU6/X53tMW7Rubm6Uq/AOC375H8+0usk/R4py614PepsZJKzVakn2bUl84gXcjIyL2RNWn4ltMpc+bfTSSxxZupTmsVmv6I2RWKdOlkHY7Tr25JvJDaldMSjTFf6tBxoKl3rO4kSOV179mG+/OUXRIvuIi3dCp3uWCe+8YFU+9jp3bUJB5iaEmIWRMkRp5Ma4PiPHVL0vF3SvvvoZ339/CReXf4iNdcPDo79VkwaaNH2Gad/0Ji5+HVp3+GW5Lx6+wyhc2Mg4kAw80747/3u/OdUr7MM11U9i42DPv8355GXT5dVqt36FY8GbaFQuPsu+2+FQpGpXozq/gOe5cWgT/p7GT08pIaZkY6MT2jr3G8emBX/Qq9ajLPv0BojxampyBq+TkxPuxV/g8o1LVPFP73FYtqUUHbtPMqrJSLce/+ObGZcY8MI5omO0LFlVnTHjP7eoS8Oev4N56n0O6HtCSlvukdiXgIAAGRxsuitAp0u5be7t7W1z3UFLWnMLS2Y3bk7zDQoKomnTpvkaMzvvkU6n48CBHfj5VaRKlSoW40ZGRjLjvecY2fAfiqdecCckwZLgSjQZ9AuNmrbN9HwpJTPatmX8gaxj6AK/+452k9JN74SrK+G//86zvXplee71q5dZ9dMwmpQ7in/xWA5dLE2kS3dGTZqHRmNdB/KdO3eIiYmhWLFiNr9HefW5ZEQIESKlDLDl+AHlhAw2P4Y85diTsPnY2UEIkVajqhVQC/g99XE/4KyUcmRe55DfKNH7chIzPDycyMhIm7UHD+4hLOwuderUp2ZN62al6nQ6flswHhF/FL1eondtwoixc/DwMH1XTkrJjE+H0bXwUmr4pTeibofDr9d6MGXa2kx3/9Peo6SkJL59vR3vlvwHZyODAJbf8afhpLXUqt/YaNzFP75P/ehZNC6bPjYvIQmmh9Tntc+2UNKvlNmcl//yBQ9urKNM9Te4fn4tz3T9gKYtOpl7e54QHx/Phr9+Q28QdO78os2L2dvjPLJWq/pehuM4UqMvL1HiauJKyyk384mLi2Pd8lnorgWiJRmDR3VeGPw+pUqXNvr8w9u2cfuNN+gTFpY5pwyNvsfAgr59efePP8zeuTtz+iR3w65Tv1FLihWzvovDGuz9mWXb/CZYceyJ+WN+T+IJcRhoLaVMTn3sDOyXUjbPrxzyC9X70smvfKSUbPh9EdePrcFV/5BEjRdFq3fjpdfGZxnukTGnRw8fsvCDV2kYd4iOfhFoBFzQObMpti6thn1F83ZdzMbd9tdKLhz8DdeEWyQLNzQlmvHS8E8paoMXKe0zA/vmpPpeOha7d4UQY4BlUkrLU6xUVHIJd3d3Bg2bAkyx6vnNu3Rh39y5zHz3XQZeuEDGUSwGYIe3N6e6deOdJUssdtXWrlOf2nXqZzt3h0RB3RwZ8AW8SGnPQ8o63L65dXDV+/7bCCHoNWAYDBhmk65osWK8u2ALZ/89yc8bfgNDMhVatGBCr5es6jEGW7rmAAAgAElEQVTo0msgXXoNzG7aKrmJA/qeNWP6SgJHhRDHgMXANlmQbg+q/Gdo26sXAZ06sX72bMK3b0+pvevhwexXX6XTxIl0qa825LKNMs3vG+C4EGIPKRm2JWXGbW6hep9KtqlVrz616lle41NFwTig71ls9EkpPxJCfAx0Bl4HZgsh/gAWSSnNz5dXUclnChUqxKApU2BKyh3CwMBA+o0YYeesCjgKrUEppfxFCLEFaJa66V0p5d1cPL7qfSoq/1Uc1PesekmpV7d3U/+SSbmVuEYIMdXGfFVUVAoiCly6ILVqRkegvpTyL8BFCNE0N2Oo3qei8h/GAX3PYqNPCDFOCBECTAUOAnWllKOAxkCf7KWtoqJSoFCg+QFzgRZA2gCoKGBObh1c9T4Vlf84Duh71ozpKwK8KKW8nnGjlNIghOhubSAVFVt58OABf6/5mcT4WFp26EPteg2t0oWHh7P+1x9IfHyFIjU6E3QwkKat2uVtso5OLpibEKIrMAPQAgullN+YeF4fYA3QREppbspqMyllIyHEcQApZbgQwsjqjtlG9T4Vlf8yudSoy2Xvy5HvWTOm7xMz+85ZG0jlv43BYLB6rTspJQumTsDj3hr61ryNmy/s+WM2Gxe3ZNRnK80uwrlr0youb/yAQdWu4lkSAp0bo9/wNt+s7sw7U3/HxcXyd+Phw4fcvXuX6tWr4+xspi7Sf4VcGNuSWrpsDtAJuEXKBIkNUsqzTz3PExiHdVUvklKPK1O1xUmZrJ0rqN7nWNy8eROtVktpE8s+GUOn07F25TSSYkMRzn707DcFv1Km18pLQ0rJ9r9/5/K/a9CIBAoVaUK/VyZRqFAhq+JeuXyRwJ0rKFmqMl26DVB9yB7k0pi+PPC+HPmeAocpquQVer2e5cu/Yf78kezevTpfYgYH7Wb61LYsnFWRmdNasGeX5bjL5n1OJ+e5vNzgNoVdQauBjtUimFB3C/M+GWBSdy30CmF/T2JEvat4Zli4voV/LCPKrOfnb8aZjWswGJj9wzC2r6mP7nJj5n/fiF3bV1r9Wi9cOMm8eSOZP38sDx+arh9cIMl5N0dT4LKUMlRKmQisArKukA1fAN8CWUshZGUmsA4oIYT4kpQyaV9ZoVMpgERHRzN3zigePghl6W+fYzBY9zt3J+wW337egWO763Nke12+/bwLjx4ar52bkRvXr/Dzt63pV/8rRnRcxZAW01n/c2tOhGRdBP5p5v84Fr+o13i785+M6rSJnlU/4fv/60xMTIxF7c9zJnJ6d0sGt/uM2t6vMe2T5ty4bt28oQP7NjDz+/Y8uH+WH6f14+ED633ozOlg5s19k7lzRnH3TphlQSpSStavn8f8+cNZt24ODjXBPXe6d3Pb+3Lkew7V6NPpdFy/fj1bhZftoc1pzMTERJu006cP4ZlnPmTkyJ9wchrK2rUzbY5pS74xMTEc3DOK8cP2M/zVG4wdepir58YRdjtrYfA0kpOTibiwlkrFkrLsc3WGJh7/cOqE8bvem5dOZWAN48f2LQQud3aaNd2VS6fSu90vDOoVRutmiYwZcprQM+/z+PFjk5o0Ll48xd69LzBy5E8MHTqLuXM7EBkZaVGXhr3OXauxzvyKCSGCM/wNz3CEMsDNDI9vpW5LDyFEI6CclHKzNSlJKZeTspDj18Ad4AUpZf5czSiMguhftmj1ej0/ft+D116dT7Hi4bRt9Tnz5o62Srt00ZtMHrabXl3C6d31Me+8vp0lPw+3qFu77H0m9T+DZ2qlN1cXGNkrlMBNJm8AA3Dl8gXKOq2gftWEJ9t8vWBsj4P8sdRor94Tjh7ZS7WiC+jV4RHOzlCxnIH33zjGmqXmL1gBbt64zpXzbzF2+B6KF4tjzLA1LFowyKIO4NzZ4xw+3IdRoxYyYsR8Fv/SifBw65anXLhwMjVqjGfkyJ+pUWMCs2a9bZUuDUV7X+40+nLV+3Lqew7T6NPpdISEhBAaGkpISIhNJ4E9tLkRMyEhwWptYmIinp6BlC2bcnXctm0Ut2//aXNMW/Lduf0P+j5/MdO2l/vcYd2f001qrl69Sk0P01e17atG8s9O4+e3U/QVnIyUPkqjic9lTp08bnJ/5ON9lCmV+e5Bv+eus3XzEtMHTWX37p94881rCAHOzjB06Cn+/nuZRR3Y79y1CevM76GUMiDD3wKrDy+EBvgBmGiDZhHgJqWcI6WcLaU8J4T41Fq9o1BQ/csW7fXr12nS5ChpvaPly+tB7rWoi4mJoaTvKTKOLHF2BlfNMYt3Cl0NZzC2jruvy1mioqJM6nZvXUK35lkvFL09ID7cfFWV4EMraRsQnWmbEOCm+Re9Xm9Wu3XLPAb2Sb/odXKCiuWOce/ePbM6gMDABbzxxg0AtFoYOeIsf/31s0UdgF6/gxo1EgGoWTOJhIStij2PbCbnF7uWQ9jofTn1PYdp9EVERKDRaPDy8kKj0RAREaFobW7E1Gq1Vmu1Wi0xMZmHcMbGWh0yW/l6ePgSEZm5FRYdA4isxcbTcHFxIV5veqhpQhI4uRgvOm7ATIsPiNdrcXF1N7lfb8g63i8iCjw8i5g9LoAQriSkX9gTHi4wGKyZJ2W/c9dq0sa2WPozz22gXIbHZVO3peEJ1AEChRDXgObABiGEufJGXYBfhRCDM2zraTETB6Og+pctWnd3dyIjM49ri0+wfJvFycmJhMSsfpOY7GSxMo9BGh//G5ekNTvGzsXVg7gE4/sM0vzYPI3WneTkrNsTk5wsjol2d/fJ4ukxsa64uRn3y4wI4UZShs4Vnc56/0pMdHnqsZNizyObsN73LF3s5rb35cj3HKbR5+3tjcFgIDIyEoPBYHawvxK0uRFTr9dbrdVqtfj6vsbatR5cvw4zZ/rRrNkkm2Pakm+79j1YuzXgiYlJCdMXVOCFF0eZ1Pj7+3M5sY7J/RvO+9Gtr/HFll1LNyEyznQ+R6PqUr9BA5P7a9Z9mX1HPJ88lhKW/VWbrt0sd5H07/8x33zTkKtX4cQJwaJFzenata9FHdjv3LWJnHdzHAWqCiEqps40GwBsSNsppYyQUhaTUlaQUlYADgM9LczevU/KavT9hBBzhBBOVmXiYBRU/7JFW6pUKa7f6MGp084gYdPfnpQqNcSiztXVlXjZlscZeirv3hdoXJ612OgThVsQ/VQjKjkZdMkNzTakevQZxapA/yzbL910onSV583G7NpjDKu3Z54oEh0DyU4tLebbq/fbzF1c84nfht0RPIxoZ9X723/A//HV1w24dQvOnxfMnh1Az56DLeoAqlcfzapVJbh1C5Yt88XVtZdizyObyZ3u3dz2vhz5nnVN+QKAj48PjRs3JiIiAm9vb3x8fBStzY2YQUFBNG7c2Grta699ypEjndm79xidO3egRo2aNse0JV+tVsvIMRuZv/w9MFwmMtqXl179hDJlypjUCCGo034024+cp3PVR5n23Xys5b53T0qZmH3X543JLJj4FxMbnM7SLfPvXXdKNh6EVmv6bmCHzv3YuP4xP/6yGK3mEfFJVRj4+nSrZvz6+PgwZcoBtmz5neRk+PjjXhQpYvkOYZrWHueuTeSwKSWlTBZCjAa2kbJswWIp5RkhxOdAsJRyg/kjGM9KShkB9Ejt3ggE8qjVq1wKqn/Zqp00+VfWrGmNweBGiRIr6N7TulVzRo75icULPEiI3odeb8ClcDtGT/jRou71t75n+pfXaVN1L01rx3D6igsbjzbi7XcXm9UVKVKE0vX+j1+2fkb/djdxd4VdIZ6cevgi4z8w3/NXvkIlLlSZysyV31G7wkXCHnpyS9eS8e9a7mr19PTk9Te3M2vRR5Qu58WlSx/xziTz4w/T8PX1ZdKk/WzatBS9Hj74sB/FihWzStulyxBCQ1ty8OAu/P2r0717Q0WfRzaRC5eQeeB9OfI9UZBm2gQEBMjgYPNjIvKKwMBA2rVrZ5fYplBaTrmZz85NKzizaw413P6lsHMipyKq4laxB0PGfmm2myP00nlW/zCclp7HaFo6hn1+33E1cD6F6r7CK29bZ4B5ib0/MyFEiJTSXJdpFgIqCBlsxVsn3sDmY+cEIcRnGZdVEUL0ACZIKdvnVw75hep96eR3PiFHD/Lvsd1UrtaINu26Gb3jZiynBw8esOnP2STER9Hq2UHUrW/9V0Ov13P58mWKFi1qdePLUj72xp45qb6Xjl3u9AkhpgE9gETgCvC6lDIPpx6qFDQ6dh9Eh+cHEhoaSnx8PEOrVrXqjlulqjV4d94+jgUdZMWR3fi6lOfl709QuHDhfMjaQcml9apym6fX0ZNSbgQ22ikdq1C9r+DRuEkrGjdpZbOuePHivD7ys2zF1Gq1VK9ePVtalVzCQX3PXi9pB1BHSlkPuAi8b6c8VBSMEILKlStTu3Ztqxp8GWnUtBWvj/kYnyLF1AZfbqCgckRCiAOp/0YJISIz/EUJIaxfJ8c+qN6nolJQcEDfs8udPinl9gwPDwPWjXhXUVGxDwqaHiGlbJ36r6el5yoN1ftUVAoQDuh7SpjI8Qbwu6mdqWveDAcoWbIkgYGB+ZRWZqKjo+0W2xRKy0lp+YDyclJaPlZhv8LiRhFCmJ0hI6W0vJq2MlC9LxsoLR9QXk5KyweUmZNZHNT38qzRJ4TYCfgZ2fWhlPKv1Od8CCQDy00dJ3XNmwWQMpjZXgNB1YGxllFaPqC8nJSWj9Uoa2xLCCl1J41ZsgQq5W86mVG9L29RWj6gvJyUlg8oMyeLOKDv5VmjT0rZ0dx+IcRrQHeggyxIU4hVVP6LKOiKV0pZ0d45mEP1PhUVB8EBfc9es3e7klI77hkppQ11IVT+S0gpOXE8mJjoSAKatrJqZXmVPEJB5pcRIYQvUBV4cnJIKffZLyPzqN6nolKAcEDfs9eYvtmAK7Ajdc2jw1LKkXbKRSUPSUxM5I9V3xMd+S8urpXpP+h9q2bTXjh3kvXLRtK6xnG8CyeweFoN/OtMoHtvy2UNL186y8Y1U3DXXqSo/zusWnaY/i+/a3FF+zTOnjlFWFgoDRq2ytYaWQ6Hwsa2pCGEGAaMI6Ws0QlSyhcdApS8Tp/qfXbg0cOH/L15ERqNlu4937S6eoPBYGDD+kXcvXMIb59avNh3DK6upstIZiTs9i02/vUden0UAU1foWmzZ63O9/Kls+zbu4Zixf3p3mOwxRJsmbWXiI6OJDw8HF9fX6t1SUlJHD92FFdXd+rVb2C1XzosDup7dumxllJWkVKWk1I2SP3LFdPT6XRcv349W4WX7aHNaczExMR8j2mr9oep/ejc8gNGvrqKvl2/5NsvO1ssdG4wGFi/dBhTBhymVcME6laDt3qfJ/7Gx1y8cMasNjY2lrVL+zN+0GZGDrhE8SIx1PX7jDWrLK/AD7Dklw+4erUlFcq/wIrlzTj17xGrXyvY71zIrtZqcl57Ny8YBzQBrkspnwUaAope886RvM9eMW31vbDbN1n087P07v4e3btMZuaPbXj08KFV2lnTX6dulZGMHPIL7VtM5uv/PY81PfI3b1xl9Yr2vN5/BqOGLOZxWG82bXi6JKtx9u/bSNChzrzc/xNqVR3KF5/3sOiZaaxY/gWnzzTByekSvy5pypnT1i3oHRMTwzdfd0SjaYNO15yvvupj1evMSEE6j6zGAX1PWcMUc4BOpyMkJITQ0FBCQkJsOgnsoc2NmAkJCfke0xbtmdMnaFJvFyWKpzz28oL+PY+wcYPJsesAHNy3g66NT2Qppda73X12bZ5tVrvpr0W89kLmMmy1q8VzO3S1xXzv37+Ps/PPPN8tmipVYOyYULZt+9CiLg17ngvZ0dqEgtarykC8lDIeQAjhKqU8D/znVrQtqP6V3Zi2+t66tZ8wcdxpPDzA2xvem3SKpb9ZXh4xLCyMcn5/U7lSSoOrZAno2n4/O3daXgd341/fMvrNS7i4gBDQtWMEl84vtCrf4yHfMWjAbVxdoUoVA717bGXTJpOTvJ+g0+mIj5/LC70icHOD8eMv8/eWD6yKuWL5F0yYsI+AAAPPPJNIr54bWL/+N6u0abELynlkEw7oew7T6IuIiECj0eDl5YVGoyEiIkLR2tyIqdVq8z2mLdr7929TqmRMpm1lS+u5efOCWV344zsU903Osl2rBUGMEUU6usdhFDXWoyEtr10ZERFBiRKZj691Mh/vab29zoXsaG1CmeZ3SwjhA6wnpbv0L+C6XTKxIwXVv7Ib01bfc3KKJ2PJbWdn0Ostax8+fEiJYpmfV65MIjdvXLIcVEbydJlvjZXr57q4xGd67FfSwL17lk/rqKgoihXPPEzUySnKqph6fQQeHumPy5TRc/fuVau0ULDOI5twQN9zmEaft7c3BoOByMhIDAaD1WM27KXNjZh6vT7fY9qibdmqI9sCa2Xa9uvvJXiu2+tmda2e6cHOkHJZtl+5qaV0BfPjYtp3HsKmPZmXM0pKgiRR22K+FStW5ODBuiQmpjw+e9YJd/c2FnVp2PNcyI7WaqwxPjuYn5Syt5RSJ6X8FPgYWAS8kP+Z2JeC6l/ZjWmr71Wo2JWDh9JbNFt3eFCjVk+Lujp16nAwqB4ZezmX/VGGTp1fsqitUq0nIcfdnzyOjYUEfQOr8jUQwJ076Y9/W16aZ57pbVFXpkwZQoLrEJ/aZjx92pnChdtZFbNZs0GsWlUSAClh3vyydOgwwCotFKzzyGoc1PdEQVoxwFLRcZ1OR0REBN7e3vj4+Nh0bEtac2sMZTduTvMNCgqiadOm+RrT1vcoJDiQvbs+wqvwVR7rilOrwQS6dx9iMdayRZ9S3uV72jSMBuDmXfhtdzfe/fwvnJzMzz/6bdH/4Zb0E8+1vc/BK99zaP8qxkzeTLHixS3Gffz4MYsXj0YjHuLj25LXX//EpgHN2T2P8vJzyUi2Co9XETL4O8vPE73zt/A4PJnFVo4Mk9KklMfyM4f8QInel1/n7NO67Pje2jUzuX1rNYlJesr5D+Sl/mOs0l04/y+bN0zC1eUy0THFCWj2Hh06Zm2AGXuPVi7/krthq9AQTUJyAG+PXWLVJLbk5GQWL5xEYmIw0dFOtG33MS1bdrAq38jISBYuHEuZMq2Jj7/L4MEfWu1fhw9t40jQT8TFGejS5QMaNmxqlS4NJZ9Hqu9l0DpSoy8vUeLCkkrLyVw+SUlJODk52dSA+mf/do4f/g0NCRQr05beL42y2OBL49bNGwTu+h3volV5/vmeNs1+y0vs/Zll2/y+t+LYL+Sv+QkhvgBeA0KBtJHuUkqp5Nm72UL1vnSUlg8oLyel5QP2zUn1vXSUUIZN5T+As7OzzZqWbTrTsk3nbMUrW86fV16bTGBgoGIafAUaBS5dALwEVJZSJto7ERUVFQfEAX1P/TVUUVExj0LHtgCnAdv6g1RUVFSswUF9T73Tp6KiYhllXh5+DRwXQpwGEtI2Siktj9JXUVFRsYQD+p7a6FNRUbGMMrs5fgW+BU6RPrZFRUVFJXdwQN9TG30qKiqWUab5xUopZ9o7CRUVFQfFAX1PbfSpqKiYR6E1KIH9QoivgQ1k7uZwuCVbVFRU8hkH9T210aeiomIZZY5taZj6b/MM2yRWFh5XUVFRMYsD+p7a6FPJF2JjY3F3d7dpnT6AmzdvEhERQe3atW3WWlukXMUKFHbFK4TQAhuklD/aOxcVFRUHxQF9T230qeQp588d56/1w/ErEcb9h8Vo9+z3NGna0aIuOTmZGT+8QuXy2/H1juHrtY0Y8sYqypQtb1EbGRnJvLkD8fU+i0+Ryezc8f/t3X2QXFWZx/Hv00OGgEl6nAQCkVd5kUUUTMYBAZdkBQy4JYVKCS4KvgFZEBcE3JIVXUR5c2GxfMEsZMFVi1eVlBtFKQxbq5BkGkEIYAQNkBBIIvYMQTKTmX72j+4hk+xM9+3u231P3/59qqYyPX1PP0+fe/vJ6dun73mBY4/7SKR8V65cwb33XszOO/ezefMhLFhwEzvuuGOktqkWWPFz9xEzOw3QoK9N/OlPv+fuu89l770/yHXXfZuzz/7PSCtc1GP9Sy9yyy0fIzvtOQZe2ZWTT/4O+x9QeUlHgPvvv4PHH7+Ozs5BMpm5fPrT11X9xlUSFtjuiqPupWrQl8SyQPW0rTfm0NAQ+Xw+mGXYxnPPTxbw+YtGVxJ4ga9f/xkOPexROjs7y7a7+85vcurJt/OmWcXb7z7qIW747oVccNHdFWMuuvkcPnveEiZPhqX/+xqrn7mCdevmsfvuu5dtNzw8zJIln+Lii38HQD7/CIsWTWPBgm9VjDkqqWOh1raRhDu35ddm9k3gduDV0T+245y+Vqxf1ba9/fYz+fznH+KBB07gxBPv5Oabd+L8829taMxbb/0En7vwl3R0gPvv+dqVZ3Dpv1ReGWXNmjWsXXsh55+/FoA//OEJ7rprL0455YKG5jvarpb/G+qJWW++Qda+lNa91Az68vk8uVyOTCZDoVBgzpw5kQ+CJNrGEXNwcJBcLtfUmNW0HR4eZnr3C9v8bf/9nmfVqlUccsgh5eP95bevD/gAMhnonPTHSLlO3nENkydvvX147zoefvjXvO99HyrbbsOGDey///Ov3+7qguHhpyLFhGSPhVraViXMuS2jK9hfPuZvbTenr1XrVzVtt2zZwowZzzF6ouwNb4BM5ulI8erJd9rUNXR0FH83g+7u53jppZeYOXNm2XZPPLGMI49c+/rtAw4YYsmSFQ3Pt9b/G+qJGUe+wda+FNa9MJ9SDfr7+8lkMkybNo1MJkN/f3/QbeOI2dHR0fSY1bTdYYcd+Et+2+L45JPdFc/yAUyZejDr12+97Q79A7tEyvW1zbuxZcvW28tWdDN9+h4V282YMYOnntoaY9MmePXVXSPFhGSPhVraViXAK9O7+7xxftpqwAetW7+qaTtp0iTWrdv62ty8GfL5GQ2NCTDwym6MnRq8du0b2bx5c8V2b3nLHB58cGu+q1dnmDRpr4bnW+v/DfXEjCPfYGtfCuteas70ZbNZCoUCAwMDFAoFstls0G3jiDkyMtL0mNW2Pf69/86V157Nvns/zx+e7qJ7+qfYddfKA6lTPnwBV31tKb3veIAZ3YPcvXg/Tj39q5FinnHmjVx5zYvsPnMlU7s62fjnMzjooIMqtps0aRJHHnkdl112Mdnsq7z44l5ccEGEFbdLkjwWamlblQA/5jCzLPAl4G9Lf3oAuNzdGzTyDVOr1q9q286f/w0uvfRc3v72Tr74xcM577zolyqrNeZppy3kq1f+A1OnPMPGjW9kv/3Pi9R27733oa/vS1xxxfXstNMWNmx4G5dccknD8631/4Z6YsaRb7C1L4V1z9y9UbnFrqenx/v6Jp5P0ci5AUuXLmXu3Lmxxq033+XLl9Pb2xvM/ImJ+mhkZIRnnnmGjo4Opk+fXlXcZcseZO3aZznmmOOYPn16Vfm+8MILPP744y3RR82a12JmOXfvqebxew4y71tYeTs7hqofux5mdjfFdShHJ3Z9FDjU3T/QrByaJcTal9T8r1rqXr35vvzyy7zyyivqozraJtlHqntbJXqmz8w+B3wd2MXdN9b7eF1dXTV/pp9E23pjdnZ2Vt0+iefZ0dHBgQceWFPMww9/F/CumtrOmjWLVatWtUQfJXXsRhbmRJD93P2DY27/q5k9klg2VUhD7UsqZi11r56YAN3d3XR3dzc1Zqv1USsdR5GlsO4l9pTMbE/geOC5pHIQkYgCnNsCvGZmR4/eMLOjgNcSyaQKqn0iLSKFdS/JM33XA5cA9ySYg4hEEeDcFuAc4HulOS4GvAycmWhG0aj2ibSCFNa9RAZ9ZnYSsNbdH9XFKkUCF+j1qtz9UeBQM5tWuj2QcEoVqfaJtIiU1r2GDfrM7D5gt3HuuhT4AsWPN6I8zlnAWQAzZ85k6dKlcaVYlU2bNiUWeyKh5RRaPhBeTqHlE1kME0HMbD5wA9AB3OTuV213/4XAp4BhYAPwCXd/tszj7Qh8ENgH2GF0EOXul0/UphlU+xortHwgvJxCywfCzKmimCbAxVn76q17DRv0ufu4a22Z2duAfYHRd7p7AA+bWa+7vzjO4ywEFkLxG2wTfYO20cp9ezcpoeUUWj4QXk6h5RNZne94S2tGfgs4DlgDrDCzxe7+xJjNfgv0uPtfzWwBcA3w4TIPew/QD+SAwfoyjI9qX2OFlg+El1No+UCYOVUUw5m+BtS+uupe0z/edffHgNcv1GZmqyk+2bq/wSYiDVJ/8esFnnb3PwKY2W3AScDrhc/dfzVm+4eA0ys85h7uPr/uzJpEtU+kxcTz8W7cta+uuhfmF5JFJBxRvsFWuTi+CXh+zO01pb9N5JPAzyo85m9KZ89EROIVT92D+GtfXXUv8RU53H2fpHOQMG3cuIE77riMTGaQ3t4zmD37mKRTal/R3h7OMLOxVxBeWPqIsipmdjrQA1Ta4UcDZ5rZnyh+zGGAu/vbq42ZBNU+kcA1se5B5NpXV91LfNAXpySufl5P23pjDg0Nkc/ng1ltIs62r776KgsXzufiix9m0iT4/vd/DtzG7Nl/W7Ht2Jit0kdJ7ZfIor2j3VjmyvRrgT3H3N6j9Ldtw5gdS/ELD8e4e6X5KidEyqoNtMsxW+trOsl81UfhxYys/roH8de+uupeagZ9+XyeXC5HJpOhUCgwZ86cyAdBEm3jiDk4OEgul2tqzGa1ffDB+zjllOKAD+D009dxww03RR70tVIfJbVfqlL/3JYVwAFmti/Fgncq8JFtQpi9A/guMN/d11d6wHLf7G0n7XLM1vqaTjpf9VFYMasSz5y+WGtfvXUvNXP6+vv7yWQyTJs2jUwmQ39/9DXXk2gbR8yOjo6mx2xW26lTu9m4cet7kqEh2Lw5+uHaSn2U1H6JLIa5Le4+DJwH3As8Cdzh7ivN7HIze39ps2uBKcCdZvaImS2O/5vJdlwAAA1QSURBVMmkT7scs7W+ppPOV30UVszIYprTF1rtS82Zvmw2S6FQYGBggEKhQDabDbptHDFHRkaaHrNZbXt7j+bqqz/A8PCPmDFjmEWL3sK553656pit0EdJ7ZeqxPD20N2XAEu2+9tlY34f91InUl67HLO1vqaTzld9FFbMqsR0Wiyk2mfu3qxYdevp6fG+vr4J72/k3IBy1xhKai7D8uXL6e3tDWb+RNx95O4sXXof69ev5d3vPp5Zs2ZVnW+r9FGz5rWYWa7C/JP/p+et5n23V97O3kbVjy3RhFj7kpr/VctrutH5qo/C7iPVva1Sc6YPoKurq+bP9JNoW2/Mzs7Oqtu3Uh+ZGfPmHVdTvNGYrdJHSe2XyAJcjki2apdjttbXdD0x62mrPgozZmQprHupGvSJSAMEugaliEjDpLTuadAnIpWl5itfIiIRpbDuadAnIpWl8B2viEhZKax7GvSJSGUpLH4iImWlsO5p0Cci5aV0bouIyIRSWvc06BORylI4t0VEpKwU1j0N+kSkshS+4xURKSuFdU+DPhGpLIXFT0SkrBTWvVSdvMzn8zz77LPk8/mWaFtvzKGhoabHVB81pm1S+yWSmNaglMZpl2O21td0PTHraas+CjNmJCmte6k505fP58nlcmQyGQqFAnPmzIl8pe4k2sYRc3BwkFwu19SY6qP42ya1X6qSqreH6dIux2ytr+mk81UfhRWzKimse6l5Sv39/WQyGaZNm0Ymk6G/vz/otnHE7OjoaHpM9VH8bZPaL1VJ4TvetGiXY7bW13TS+aqPwopZlRTWvdSc6ctmsxQKBQYGBigUCmSz2aDbxhFzZGSk6THVR/G3TWq/VKUFi1u7aJdjttbXdNL5qo/CilmVFNY9c/ekc4isp6fH+/r6Jrw/n8/T399PNput+jRvpbZLly5l7ty5scatN9/ly5fT29vb1Jjqo/raTtRHjYw5lpnl3L2nmsfvOdS8b0nl7WwPqn5siSbE2tesY3b7drW8phudr/oo7D5S3dsqNWf6ALq6umr+TD+JtvXG7OzsrLq9+qjxMZN4ng2ZxzdWaiaCpFO7HLO1vqbriVlPW/VRmDEjS2HdS+wpmdlnzOwpM1tpZtcklYeIRJDCuS1JUe0TaREprHuJnOkzs3nAScCh7j5oZrsmkYeIRNSCxS1Eqn0iLSSFdS+pj3cXAFe5+yCAu69PKA8RqaRF39EGSrVPpBWktO4l8kUOM3sEuAeYD2wGLnL3FRNsexZwFsDMmTPn3HbbbU3Lc6xNmzYxZcqURGJPJLScQssHwssp6XzmzZtX/YTmw8z77qu8ne3SWhOak6DaV7/Q8oHwcgotH0g2J9W9rRp2ps/M7gN2G+euS0txu4EjgHcCd5jZm32cEai7LwQWQvEbbBN9O7TRyn0zNSmh5RRaPhBeTqHlE1kK3/E2impfY4WWD4SXU2j5QJg5VZTCutewQZ+7HzvRfWa2APhRqdAtN7MCMAPY0Kh8RKQOKSx+jaLaJ5ISKax7SX179yfAPAAzOxDoBDYmlIuIlJPSNSgToton0gpSWveS+iLHImCRmT0ODAFnjPfxhogEIoXXq0qIap9Iq0hh3Utk0OfuQ8DpcT9uElc/r6dtvTGHhobI5/PBrDbRiLbt0kdJ7ZfIWvAdbYjSVPuSilnLazrJfNVH4cWMLIV1LzUrcuTzeXK5HJlMhkKhwJw5cyIfBEm0jSPm4OAguVyuqTHVR/G3TWq/RNaiH2O0i3Y5Zmt9TSedr/oorJiRpbTupebkZX9/P5lMhmnTppHJZOjv7w+6bRwxOzo6mh5TfRR/26T2S1VSOLclLdrlmK31NZ10vuqjsGJWJYV1LzVn+rLZLIVCgYGBAQqFAtlsNui2ccQcGRlpekz1Ufxtk9ovVUnN28P0aZdjttbXdNL5qo/CilmVFNa9RC7OXKuenh7v6+ub8P5Gzg0od42hpOYyLF++nN7e3mDmT6iPau+jZs1rMbPqL1I627zv15W3s51b6yKlrSTE2pfU/K9aXtONzld9FHYfqe5tlZozfQBdXV01f6afRNt6Y3Z2dlbdXn3U+JhJPM+GfYEDWvZjjHbSLsdsra/pemLW01Z9FGbMSFJa91I16BORBklh8RMRKSuFdU+DPhGpLIVzW0REykph3dOgT0QqS+E7XhGRslJY91I4jhWRWMW0HJGZzTez35vZ02b2z+Pcv6OZ3V66f5mZ7RPbcxARqUZKl2HToE9EKquz+JlZB/At4ATgYOA0Mzt4u80+CfzF3fcHrgeuju8JiIhUSYM+EWlLmQg/5fUCT7v7H0tLkd0GnLTdNicBt5Z+vwt4j5m1YFkVkVSov+4Fp6Xm9OVyuY1m9mxC4WcAGxOKPZHQcgotHwgvp6Tz2bvaBrkc95oxI8Kmk81s7MXkFrr7wtLvbwKeH3PfGuDw7dq/vo27D5tZPzCdsPZfIlT7thFaPhBeTqHlA8nm1Mi6F1o/l9VSgz533yWp2GbWF9oFGEPLKbR8ILycQssnCnefn3QO7U61b6vQ8oHwcgotHwgzp3LSWvda8OSkiLSgtcCeY27vUfrbuNuY2Q5AFvhzU7ITEWkDGvSJSDOsAA4ws33NrBM4FVi83TaLgTNKv38IuN9baZ1IEZHAtdTHuwlbWHmTpgstp9DygfByCi2fpijN0TsPuBfoABa5+0ozuxzoc/fFwM3Af5nZ08DLFAeGkrzQjtnQ8oHwcgotHwgzp7ZjeiMtIiIikn76eFdERESkDWjQJyIiItIGNOibgJl92czWmtkjpZ8TJ9iu7NJSMed0rZk9ZWa/M7Mfm1nXBNutNrPHSnn3jbdNnXkEs5yWme1pZr8ysyfMbKWZfXacbeaaWf+YfXlZo/IZE7PsPrCib5T66HdmNrvROYlEEVrtC6XulWKo9lXOS7UvZO6un3F+gC8DF1XYpgN4Bngz0Ak8ChzcwJyOB3Yo/X41cPUE260GZjQoh4rPGfhH4MbS76cCtzewT3YHZpd+nwqsGiefucBPm3z8lN0HwInAzygu5HMEsKyZ+elHPxP9hFb7Qqh7UZ+zap9qX+g/OtNXnyhLS8XG3X/h7sOlmw9RvNZZswW1nJa7r3P3h0u/vwI8SXFlh9CdBHzPix4Cusxs96STEomoabUvkLoHqn1xUe1LkAZ95Z1XOv28yMzeOM794y0t1awX3ScovlsajwO/MLOcmZ0Vc9woz3mb5bSA0eW0Gqr0Uco7gGXj3P0uM3vUzH5mZm9tdC5U3gdJHjsilYRa+5Kqe6DaF5VqX8Da+jp9ZnYfsNs4d10KfAf4CsUD+CvAv1EsOInl5O73lLa5FBgGfjDBwxzt7mvNbFfgl2b2lLv/T2MyDoOZTQHuBv7J3Qe2u/thYG9331San/QT4IAGp9R2+0BaR2i1T3Wvdqp9Uo22HvS5+7FRtjOz/wB+Os5dUZaWijUnMzsT+HvgPe4+7kUW3X1t6d/1ZvZjih9LxPWiq2Y5rTXWhOW0zGwSxaL3A3f/0fb3jy2E7r7EzL5tZjPcvWELZUfYB7EfOyJRhVb7WqDugWpfJKp9YdPHuxPYbo7BycDj42wWZWmpOHOaD1wCvN/d/zrBNm8ws6mjv1OcBD1e7rUKajmt0nyZm4En3f26CbbZbXRejZn1UjzuG1mIo+yDxcDHSt9kOwLod/d1jcpJJKrQal8gdQ9U+6LkpNoXuLY+01fBNWZ2GMWPOFYDZwOY2SzgJnc/0SdYWqqBOX0T2JHiKXOAh9z9nLE5ATOBH5fu3wH4obv/PK4EJnrOltxyWkcBHwUeM7NHSn/7ArBXKd8bKRbfBWY2DLwGnNqoQlwy7j4ws3PG5LSE4rfYngb+Cny8gfmIVCO02pd43QPVvohU+wKnZdhERERE2oA+3hURERFpAxr0iYiIiLQBDfpERERE2oAGfSIiIiJtQIM+ERERkTagQZ/UzMxuNLOjtvvbLWb2oaRyEhFpJNU9aWUa9Ek9jqC4ALqISLtQ3ZOWpUGfbMPM3mnFhdYnl66uvtLMDhlnu78BVrn7SJnH+krpHXCHma02syvN7BEz6zOz2WZ2r5k9M3rhThGRJKjuSbvQihyyDXdfYWaLgSuAnYDvu/t4yxmdAEx4xXszuxaYCnzc3b10hfbn3P0wM7seuIXiFeUnU1ym58ZYn4iISESqe9IuNOiT8VxOcZ3JzcD5E2zzXiZePueLwDJ3P2u7v4+uU/kYMMXdXwFeMbNBM+ty93ydeYuI1Ep1T1JPH+/KeKYDUyi+Y528/Z1mtjPQ5e4vTNB+BTDHzLq3+/tg6d/CmN9Hb+sNiIgkSXVPUk+DPhnPdym+a/0BcPU4988DflWm/c+Bq4D/NrOp8acnIhI71T1JPb3LkG2Y2ceALe7+QzPrAH5jZn/n7veP2ewE4K5yj+Pud5YK32IzO7GBKYuI1EV1T9qFuXvSOUiLMbOHgcPdfUvSuYiINIPqnqSBBn0iIiIibUBz+kRERETagAZ9IiIiIm1Agz4RERGRNqBBn4iIiEgb0KBPREREpA1o0CciIiLSBv4PjOdg00q4UN4AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "5xk9pp_2MEon" }, "source": [ "### Labels\n", "Now, we can prepare the targets of our neural network training." ] }, { "cell_type": "code", "metadata": { "id": "8BbUO5g0MEon" }, "source": [ "axis = f['showeraxis']" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "SELMHC0xMEoo" }, "source": [ "core = f['showercore'][:, 0:2]\n", "core /= 750" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "t3TMaOzfMEoo", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "d71f7197-76d7-4f33-b574-6eeb54cad3c5" }, "source": [ "# energy - log10(E/eV) in range 3 - 100 EeV\n", "energy = f['energy']\n", "print(energy)" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[ 4.00461776 5.99159294 7.49367551 ... 10.81657107 5.07542798\n", " 43.32910954]\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "7AXjf80PRHnx" }, "source": [ "---\n", "#### Training and test data\n", "We further split the data into one large training set and a smaller test set. This test set is used for the final evaluation of the model and is only used once to ensure an unbiased performance measure.\n", "\n", "\n", "Before, we combine our input `X` by concatenating the maps of arrival times with the maps of signals." ] }, { "cell_type": "code", "metadata": { "id": "LRWu-MIBMEon" }, "source": [ "X = np.stack([T, S], axis=-1)" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "djv28NqyMEop" }, "source": [ "X_train, X_test = np.split(X, [-20000])\n", "energy_train, energy_test = np.split(energy, [-20000])" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "hPuYYDR1MEoq" }, "source": [ "---\n", "## Define Model\n", "Now, we will set up a neural network to reconstruct the energy of the particle shower. In this **define step** we will set the architecture of the model.\n", "\n", "\n", "> **Modification section** \n", "> Feel free to modify the model.\n", "> For example:\n", "> * Change the number of nodes (but remember that the number of weights scales with n x n. Also, the final layer has to have only one node as we are reconstructing the energy, which is a scalar.).\n", "> * Change the activation function, e.g., use `relu, tanh, sigmoid, softplus, elu, ` (take care to not use an activation function for the final layer!).\n", "> * Add new layers.\n", "> * Increase the Dropout fraction or place Dropout between several layers if you observe overtraining (validation loss increases).\n", "\n", "\n" ] }, { "cell_type": "code", "metadata": { "id": "osFl4FlNMEor" }, "source": [ "model = keras.models.Sequential(name=\"energy_regression_NN\")\n", "\n", "model.add(layers.Flatten(input_shape=X_train.shape[1:])) # this layer re-arranges the 2D image to a vector, leave it as it is\n", "model.add(layers.Dense(100, activation=\"relu\"))\n", "model.add(layers.Dense(100, activation=\"relu\"))\n", "model.add(layers.Dense(100, activation=\"relu\"))\n", "model.add(layers.Dropout(0.3))\n", "model.add(layers.Dense(1))" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "kYCXaKAlTnY4" }, "source": [ "We can have a deeper look at our designed model and inspect the number of adaptive parameters by printing the model summary." ] }, { "cell_type": "code", "metadata": { "id": "gI2q65DlTvow", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "9eee9f37-de0b-45b8-9fc2-bb702c6707a9" }, "source": [ "print(model.summary())" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Model: \"energy_regression_NN\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "flatten (Flatten) (None, 392) 0 \n", "_________________________________________________________________\n", "dense (Dense) (None, 100) 39300 \n", "_________________________________________________________________\n", "dense_1 (Dense) (None, 100) 10100 \n", "_________________________________________________________________\n", "dense_2 (Dense) (None, 100) 10100 \n", "_________________________________________________________________\n", "dropout (Dropout) (None, 100) 0 \n", "_________________________________________________________________\n", "dense_3 (Dense) (None, 1) 101 \n", "=================================================================\n", "Total params: 59,601\n", "Trainable params: 59,601\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "LvP_7f3kT6qC" }, "source": [ "### Compile\n", "We now compile the model to prepare it for the training. During the **compile** step, we set a loss/objective function (`mean_squared_error`, as energy reconstruction is a regression task) and set an optimizer. In this case, we use the Adam optimizer with a learning rate of 0.001.\n", "To monitor the resolution and the bias of the model, we add them as a metric." ] }, { "cell_type": "code", "metadata": { "id": "neGTmqafXVV2" }, "source": [ "def resolution(y_true, y_pred):\n", " \"\"\" Metric to control for standart deviation \"\"\"\n", " mean, var = tf.nn.moments((y_true - y_pred), axes=[0])\n", " return tf.sqrt(var)\n", "\n", "\n", "def bias(y_true, y_pred):\n", " \"\"\" Metric to control for standart deviation \"\"\"\n", " mean, var = tf.nn.moments((y_true - y_pred), axes=[0])\n", " return mean" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "bgigKtfOMEor" }, "source": [ "model.compile(\n", " loss='mean_squared_error',\n", " metrics=[bias, resolution],\n", " optimizer=keras.optimizers.Adam(learning_rate=1e-3))" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "1gO22y3jUfos" }, "source": [ "---\n", "### Training\n", "We can now run the training for 20 `epochs` (20-fold iteration over the dataset) using our training data `X_train` and our energy labels `energy_train`.\n", "For each iteration (calculating the gradients, updating the model parameters), we use 128 samples (`batch_size`).\n", "\n", "We furthermore can set the fraction of validation data (initially set to `0.1`) that is used to monitor overtraining.\n", "\n", "> **Modification section** \n", "> Feel free to modify the training procedure, for example:\n", ">* Change the number of `epochs`.\n", ">* Modify the batch size via `batch_size`.\n" ] }, { "cell_type": "code", "metadata": { "id": "uj1ecZz7MEos", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "6eee3add-5bdd-47a7-a6bf-4bb7609cbab3" }, "source": [ "fit = model.fit(\n", " X_train,\n", " energy_train,\n", " batch_size=128,\n", " epochs=20,\n", " verbose=2,\n", " validation_split=0.1,\n", ")" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Epoch 1/20\n", "563/563 - 3s - loss: 223.7061 - bias: 0.9780 - resolution: 12.3845 - val_loss: 37.4063 - val_bias: 1.1011 - val_resolution: 5.9468\n", "Epoch 2/20\n", "563/563 - 2s - loss: 40.8622 - bias: 0.3534 - resolution: 6.2569 - val_loss: 27.3191 - val_bias: -5.6731e-01 - val_resolution: 5.1230\n", "Epoch 3/20\n", "563/563 - 2s - loss: 34.0311 - bias: 0.2915 - resolution: 5.6904 - val_loss: 18.9209 - val_bias: -2.6835e-01 - val_resolution: 4.2677\n", "Epoch 4/20\n", "563/563 - 2s - loss: 30.5183 - bias: 0.2499 - resolution: 5.3995 - val_loss: 17.1805 - val_bias: -3.4517e-01 - val_resolution: 4.0870\n", "Epoch 5/20\n", "563/563 - 2s - loss: 29.1848 - bias: 0.2467 - resolution: 5.2769 - val_loss: 20.0596 - val_bias: -4.3085e-02 - val_resolution: 4.3987\n", "Epoch 6/20\n", "563/563 - 1s - loss: 27.6299 - bias: 0.2296 - resolution: 5.1327 - val_loss: 15.2227 - val_bias: 0.2815 - val_resolution: 3.8219\n", "Epoch 7/20\n", "563/563 - 2s - loss: 26.4423 - bias: 0.2345 - resolution: 5.0253 - val_loss: 15.0903 - val_bias: 0.5090 - val_resolution: 3.7812\n", "Epoch 8/20\n", "563/563 - 2s - loss: 26.5356 - bias: 0.2338 - resolution: 5.0260 - val_loss: 16.0607 - val_bias: 1.2158 - val_resolution: 3.7622\n", "Epoch 9/20\n", "563/563 - 1s - loss: 25.6258 - bias: 0.2305 - resolution: 4.9428 - val_loss: 14.5639 - val_bias: -7.2325e-01 - val_resolution: 3.6843\n", "Epoch 10/20\n", "563/563 - 1s - loss: 24.2835 - bias: 0.2166 - resolution: 4.8193 - val_loss: 19.0027 - val_bias: 1.4289 - val_resolution: 4.0513\n", "Epoch 11/20\n", "563/563 - 2s - loss: 24.6859 - bias: 0.2186 - resolution: 4.8527 - val_loss: 13.9474 - val_bias: 0.9987 - val_resolution: 3.5479\n", "Epoch 12/20\n", "563/563 - 1s - loss: 24.3355 - bias: 0.2233 - resolution: 4.8211 - val_loss: 12.5071 - val_bias: -1.3119e-01 - val_resolution: 3.4839\n", "Epoch 13/20\n", "563/563 - 1s - loss: 23.3299 - bias: 0.2175 - resolution: 4.7191 - val_loss: 11.7025 - val_bias: 0.6114 - val_resolution: 3.3191\n", "Epoch 14/20\n", "563/563 - 2s - loss: 23.1398 - bias: 0.2178 - resolution: 4.6983 - val_loss: 13.6432 - val_bias: 0.7080 - val_resolution: 3.5646\n", "Epoch 15/20\n", "563/563 - 2s - loss: 23.1658 - bias: 0.2183 - resolution: 4.6913 - val_loss: 13.2411 - val_bias: 0.3013 - val_resolution: 3.5741\n", "Epoch 16/20\n", "563/563 - 1s - loss: 22.7127 - bias: 0.2172 - resolution: 4.6365 - val_loss: 12.4365 - val_bias: 0.2669 - val_resolution: 3.4676\n", "Epoch 17/20\n", "563/563 - 1s - loss: 22.5013 - bias: 0.2089 - resolution: 4.6398 - val_loss: 13.6525 - val_bias: -6.8412e-01 - val_resolution: 3.5666\n", "Epoch 18/20\n", "563/563 - 1s - loss: 21.1156 - bias: 0.2122 - resolution: 4.5031 - val_loss: 13.1092 - val_bias: 0.7382 - val_resolution: 3.4923\n", "Epoch 19/20\n", "563/563 - 1s - loss: 22.0963 - bias: 0.2099 - resolution: 4.5852 - val_loss: 11.1968 - val_bias: -5.8761e-01 - val_resolution: 3.2471\n", "Epoch 20/20\n", "563/563 - 1s - loss: 21.3797 - bias: 0.2050 - resolution: 4.5084 - val_loss: 11.3826 - val_bias: -4.9225e-01 - val_resolution: 3.2973\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "iknMUMavMEos" }, "source": [ "### Plot training curves" ] }, { "cell_type": "code", "metadata": { "id": "iqt6hivFMEot", "colab": { "base_uri": "https://localhost:8080/", "height": 334 }, "outputId": "c5916cf4-0c02-44c9-9d7f-b166e825dab9" }, "source": [ "fig, ax = plt.subplots(1, figsize=(8,5))\n", "n = np.arange(len(fit.history['loss']))\n", "\n", "ax.plot(n, fit.history['loss'], ls='--', c='k', label='loss')\n", "ax.plot(n, fit.history['val_loss'], label='val_loss', c='k')\n", "\n", "ax.set_xlabel('Epoch')\n", "ax.set_ylabel('Loss')\n", "ax.legend()\n", "ax.semilogy()\n", "ax.grid()\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "-3j0ScknMEou" }, "source": [ "---\n", "### Performance of the DNN\n", "After training the model, we can use the test set `X_test` to evaluate the performance of the DNN. \n", "\n", "Particularly interesting are the resolution and the bias of the method. A bias close to 0 is desirable. A resolution below 3 EeV can be regarded as good." ] }, { "cell_type": "code", "metadata": { "id": "aObX1rK3MEov", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "cc1e8ebb-10ed-4ae4-fe17-827d0135f9ee" }, "source": [ "energy_pred = model.predict(X_test, batch_size=128, verbose=1)[:,0]\n" ], "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "157/157 [==============================] - 0s 1ms/step\n" ] } ] }, { "cell_type": "code", "metadata": { "id": "DZoXjUnDg6pB", "colab": { "base_uri": "https://localhost:8080/", "height": 297 }, "outputId": "216d64db-eb99-4d88-aae7-60ec1bca2ec1" }, "source": [ "diff = energy_pred - energy_test\n", "resolution = np.std(diff)\n", "plt.figure()\n", "plt.hist(diff, bins=100)\n", "plt.xlabel('$E_\\mathrm{rec} - E_\\mathrm{true}$')\n", "plt.ylabel('# Events')\n", "plt.text(0.95, 0.95, '$\\sigma = %.3f$ EeV' % resolution, ha='right', va='top', transform=plt.gca().transAxes)\n", "plt.text(0.95, 0.85, '$\\mu = %.1f$ EeV' % diff.mean(), ha='right', va='top', transform=plt.gca().transAxes)\n", "plt.grid()\n", "plt.xlim(-10, 10)\n", "plt.tight_layout()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "xxTIoNH4O9ng" }, "source": [ "After estimating the bias and the resolution, we can now inspect the reconstruction via a scatter plot. \n", "\n", "Furthermore, we can study the energy dependence of the resolution. With increasing energy, the performance increases due to the lower sampling fluctuation of the ground-based particle detectors and the larger footprints." ] }, { "cell_type": "code", "metadata": { "id": "RSVhxnNFZ2Ro", "colab": { "base_uri": "https://localhost:8080/", "height": 547 }, "outputId": "869556dc-b17f-460c-e8b0-83b1c646c038" }, "source": [ "x = [3, 10, 30, 100]\n", "labels = [\"3\", \"10\", \"30\", \"100\"]\n", "\n", "diff = energy_pred - energy_test\n", "\n", "# Embedding plot\n", "fig, axes = plt.subplots(1, 2, figsize=(20, 9))\n", "axes[0].scatter(energy_test, energy_pred, s=3, alpha=0.60)\n", "axes[0].set_xlabel(r\"$E_{true}\\;/\\;\\mathrm{EeV}$\")\n", "axes[0].set_ylabel(r\"$E_{DNN}\\;/\\;\\mathrm{EeV}$\")\n", "\n", "stat_box = r\"$\\mu = $ %.3f\" % np.mean(diff) + \" / EeV\" + \"\\n\" + \"$\\sigma = $ %.3f\" % np.std(diff) + \" / EeV\"\n", "axes[0].text(0.95, 0.2, stat_box, verticalalignment=\"top\", horizontalalignment=\"right\",\n", " transform=axes[0].transAxes, backgroundcolor=\"w\")\n", "axes[0].plot([np.min(energy_test), np.max(energy_test)],\n", " [np.min(energy_test), np.max(energy_test)], color=\"red\")\n", "\n", "sns.regplot(x=energy_test, y=diff / energy_test, x_estimator=np.std, x_bins=12,\n", " fit_reg=False, color=\"royalblue\", ax=axes[1])\n", "axes[1].tick_params(axis=\"both\", which=\"major\")\n", "axes[1].set(xscale=\"log\")\n", "plt.xticks(x, labels)\n", "\n", "axes[1].set_xlabel(r\"$E_{true}\\;/\\;\\mathrm{EeV}$\")\n", "axes[1].set_ylabel(r\"$\\sigma_{E}/E$\")\n", "axes[1].set_ylim(0, 0.2)\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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