diff --git a/notebooks/open_cluster_detection_demo.ipynb b/notebooks/open_cluster_detection_demo.ipynb new file mode 100644 index 0000000..5a100d6 --- /dev/null +++ b/notebooks/open_cluster_detection_demo.ipynb @@ -0,0 +1,601 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "dd0580eb-bc01-431a-b0b9-3d3c6072942f", + "metadata": { + "tags": [] + }, + "source": [ + "# NAM Clustering algorithms demo\n", + "\n", + "A quick notebook to demonstrate some clustering algorithms!\n", + "\n", + "You will need...\n", + "\n", + "* Python 3.6+\n", + "* numpy\n", + "* matplotlib\n", + "* scikit-learn\n", + "* hdbscan" + ] + }, + { + "cell_type": "markdown", + "id": "1c6681d6-6755-452b-acf6-b329bf36b446", + "metadata": {}, + "source": [ + "## Imports\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "55e1af5f-17a3-4d61-ba79-f417a42afe57", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mpl\n", + "import hdbscan\n", + "import time\n", + "\n", + "import sklearn.cluster\n", + "import sklearn.mixture\n", + "from pathlib import Path\n", + "\n", + "# Set colour cycle to be more colourblind-friendly\n", + "# Using https://github.com/matplotlib/matplotlib/issues/9460#issuecomment-875185352\n", + "mpl.rcParams['axes.prop_cycle'] = mpl.cycler(color=[\"#3f90da\", \"#ffa90e\", \"#bd1f01\", \"#94a4a2\", \"#832db6\", \"#a96b59\", \"#e76300\", \"#b9ac70\", \"#717581\", \"#92dadd\"]) " + ] + }, + { + "cell_type": "markdown", + "id": "a041568b-05f1-4457-bfb7-c38c2e0c21bb", + "metadata": {}, + "source": [ + "## Data\n", + "This data is taken from the [HDBSCAN](https://hdbscan.readthedocs.io/en/latest/advanced_hdbscan.html) docs. Let's take a look at it!\n", + "\n", + "This is a relatively difficult dataset for most algorithms. Simple algorithms will look bad in this example, but there are certainly simpler cases where the more sophisticated algorithms are overkill (and certain cases where the sophisticated algorithms will mess up, _badly._)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1a67a3c2-289f-43cb-8fe9-8de48d09c27b", + "metadata": {}, + "outputs": [], + "source": [ + "data = np.load(\"clusterable_data.npy\")" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "id": "792837d8-f2ac-4e58-a1ca-b3dbc665339f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAG4CAYAAACXY+esAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAA9hAAAPYQGoP6dpAADNo0lEQVR4nOz9f3xb1Z3njz+vfyeWLcuOEzuy4wgDTnANpgETMiRtoAlNGGjrZVqa7n4L86Ohu5NJt7OFZdhJlky7lG2HaZb202amnyFsvzVMSwOFQtKEEiCQBCeeKBGO4wRH8Q/Fdhzrl+Wfsn0/f4R7K8mSLNn6cWWf5+MxjymOpHvuveec9+u8z/u835IsywgEAoFAIBAki7RkN0AgEAgEAsH8RogRgUAgEAgESUWIEYFAIBAIBElFiBGBQCAQCARJRYgRgUAgEAgESUWIEYFAIBAIBElFiBGBQCAQCARJJSPZDdA6kiRJwFJgINltEQgEAoEgBckDLsthEpsJMTI9S4GuZDdCIBAIBIIUpgywhfpHIUamZwCgs7OT/Pz8ZLdFIBAIBIKUwe12U15eDtPsLggxEiH5+flCjAgEAoFAEAdEAKtAIBAIBIKkIsSIQCAQCASCpCLEiEAgEAgEgqQixIhAIBAIBIKkIsSIQCAQCASCpCLEiEAgEAgEgqQixIhAIBAIBIKkIsSIQCAQCASCpCLEiEAgEAgEgqQixIhAIBAIBIKkIsSIQCAQCASCpCLEiEAgEAgEgqQixIhAIJgxDocDs9mMw+FIdlMEAkEKI6r2CgSCGeFwOHjmmWdoa2ujsrKSxx9/HIPBkOxmCQSCFER4RgQCwYxob2+nra0No9FIW1sb7e3tyW6SQCBIUYQYEQgEM6KiooLKykpsNhuVlZVUVFQku0kCgSBFkWRZTnYbNI0kSfmAy+VykZ+fn+zmCASawuFw0N7eTkVFhdiiEQgEU3C73ej1egC9LMvuUJ8TMSMCgWDGGAwGIUIEAsGsEds0AoFAIBAIkooQIwKBQCAQCJKKECMCgUAgEAiSihAjAoFAIBAIkooQIwKBQCAQCJKKECMCgUAgEAiSihAjAoEgZohaNQKBYCaIPCMCgQaYC8nDRK0agUAwU4QYEQiSzFwx4sFq1aTifQgEgsQjtmkEgiQzVwrOiVo1AoFgpgjPiECQZBQjrnhGUtWIGwwGHn/88ZTfbhIIBIlHFMqbBlEoT5AI5kLMiEAgEAQSaaG8lNumkSTpv0iSdEmSpBFJkj6UJKlums8XSJL0E0mSuiVJGpUk6bwkSZsT1V6BIBIMBgO1tbVCiAgEgnlJSokRSZK+AjwLPAV8GjgN/F6SpMUhPp8FHAKWAw8CVcBfAbZEtFcgCIY4/ioQCAT+pFrMyLeBf5Fl+XkASZIeBe4D/hz4fpDP/zlQCKyRZdn7yd8uJaCdAkFQwp2cEVs1AoFgvpIynpFPvByrgLeUv8myPPnJf98Z4msPAMeAn0iS1CtJ0keSJP2dJEnpYa6TLUlSvvJ/QF7s7kIw3wl1ckYRKd/73vd45pln4u41SXXvTKq3XyAQ+JNKnpFFQDrQG/D3XmBFiO9cB9wN/BLYDFwP/D9AJte2eoLxBLBzto2dS4gVe+wIdXImkTk6Uj2vSaq3XyAQTCWVxMhMSAOuAN+QZXkCaJIkyQh8h9Bi5GmuxaUo5AFdcW2lhhETf2wJdfw1kcd7Uz05Waq3P9GIxYQgFUglMXIVmACWBPx9CdAT4jvdgPcTIaLQApRIkpQly/JY4BdkWR4FRpX/liRpVo1OdcTEH3sMBsOUZ5jIHB0zFT5aMWpzJS9LIhCLCUGqkDJiRJblMUmSmoB7gFcBJElK++S/fxziax8AWyRJSvskvgTgRqA7mBARTEVM/IkjmEiJ13WiFT5aMmoiuVrkiMWEIFVIGTHyCc8CL0iSdBJoBL4F5ALK6Zr/C9hkWX7ik8//FPhrYLckSc8BNwB/B/yfBLc7ZRETf+JJhAciWuGjNaOWKOGW6ojFhEBBK57NUKSUGJFl+d8kSSoGdgElgBn4vCzLSlDrMmDS5/OdkiTdC/wTcIZr+UV2A88kst2pjpj4E4eWPBC+CKOWmojFhAC0O6/4klJiBECW5R8TYltGluXPBvnbMWB1nJslEMSEZHkgpls1CaOWuojFhEBrns1gpJwYEQhSjWjco8nwQES6akolo6Z1l7RAkEhSwbMpxIhAEEeidY/OxgMxUwOcCqumaEgFl7SWEUJu7pEKnk0hRgSCODITQz8TD8RsDHAqrJqiYa6Jq0QihNzcReueTSFGBAlnLq68Qt1Togy9YoCLiopoamrCYrGwbt26iL6bCqumaJhr4iqRCCEnSBZCjAgSylxceYW7p0gN/WwFWkVFBUajkf379wOwb98+ampqIv4tra+aomGuiatYEGn/EkJOm8x0fkilhZ8QI4KEMhdXXtPd03SGPhYCzWAwUF9fT3NzM5WVldhstjnxbGfKXBJXsyWa/iWEnPaY6fyQagu/lKnaK5gbKCsvm802Z1Zes72nUJV8o6WmpoZVq1bR39+vqWcrKuwml2j7l8FgoLa2VtOGaz4RyfsLNsZiNa8kCuEZESSUubjymu09xco1rsVnm2qrs7lIqm29pNLWQiKY7v2FGmOp9t4lWZaT3QZNI0lSPuByuVzk5+cnuzmCOcpcnYDNZjPf+973MBqN2Gw2nnzySWpra5PdrKhJ9feTKu0X4jU44d5fuDGmhffudrvR6/UAelmW3aE+JzwjAoEG0FqMQ6wmsVRbnQVjLhhIrfWvUMzFmLJYEO79hRtjqfLeQYgRgUAQQCyNrxa3jqJFGMjEMRfEa6KZC2MMhBgRCAQBxNr4ptLqLBhaNJBacL/Hg7liWBNNqo8xEGJEIEhZ4mWQtGh8k4nWDORc2DYKR6wN61wVbnMNIUYEUxCDN77E4vnG0yBpzfhqAS2tPMW2UeTMVeE2F+doIUYEfmhp8M7FARer5xtvg6Ql4yvwR4ueK62O1VQSbpE+Qy3N0bFEiJE5SqpXcA034LQ68UVCrJ6vFgxSKr+HVEZrnistG0ctjJNIiOYZamWOjjVCjMxB5kIF11ADTssTXyRoLcHZbGpepPJ7SHW05LkKlelTC2JJa8ItFNEIDK3M0bFGiJE5yGyUs1YGb6gBl+qrglg+39kapNkIilR/D4LYEThW9Xq9poSqloRbKKIRGPGao5Pt6RRiZA4yW+WshcEbasDNhVVBvJ9vpJPKbATFXHgPgtgQOFaFUI2eaAVGPE4cJVtACjEyB9GKd2O2SjvYgNPKvWmVaCaV2QgK8R4EvgSOVSFUoyeZi0AtCEghRuYoyfZuxPvoqTB+wYlmUpmtoBDvIX4k22U+G4L1q1S+n/mAFjydQowI4oIWlPZ8JNpJJZSgmA/GQ6v3qAWX+Wzx7Vdz4X7mOlrwdAoxIogLWlDavmjV8MSaWEwq88F4aPke55qQ19r9zJe5IFqS7ekUYiTFiNdAivXvakFpK2jZ8MyGePUFrRmPeKDle9SakJ8tWrqfuToXzAWEGEkh4jWQ4vW7yVbaCokwPIlebYV6Z7F4l1oyHpEwk2ev5XvUkpCPBVq6Hy2L0NmS6h4fIUZSiHgNpLk8QCH+hicZq63Ad2axWMjPz8ftds/6XWrJeEzHTJ+91u9RK0I+VsQiJ04s3pWWRehsmAseHyFGUoh4DaS5OkAV4m14kiHmfN+Z0Whk37592Gw2jEYjRqMRm8026wyvqTCZhRJlycjVIIgPsTS0WhehM2UuLCiFGEkh4jWQ5uoA9SWehicZYs73nbndbp577jlVhGzbti1ig5zqhBJlqbo6FEwl1oZ2LorQubCgFGJEg4RzScbL3TkXB2iiSJaYU96Zw+Hwm4hqamrmzbsMJcpSdXUomMpcMLTxZi4sKCVZlpPdBk0jSVI+4HK5XOTn58f9evHc+5sL+4pznWBiMZL98lQPXosFon/PXUT/Tl3cbjd6vR5AL8uyO9TnhGdEY8Rz728u7CvOZYIZUyAiAys8W3Njdag1womAUP8WD+Eg+vfcR4gRjRFPl+R0vz0fVx9auudQpdiFgIwcYbRiRzhPUzyPlgvmJ0KMaIx4ru7C/fZ8nESSfc+BQiiUWIyHOLVarTQ2NlJXV4fJZIrJbwrmFuE8qaH+TXhfBTNFiBENEs/VXajfno+TSCzvOVoPi8Ph4KmnnqK5uZnq6mp27twZUizGWpxarVa++tWv0tXVRVlZGS+++KIQJIIphPOkhvo3EWwqmClCjMwRZrvdMB8nkVjd80w8LBaLhf379zM5OUlHRwf19fWsW7cuqFiMtThtbGykq6uL4uJiurq6aGxsFGJEEJTNmzcDTDmhFUo4i7gdwUwRYmQOEIvthvk4icTqnpPpYZkJdXV1lJWVqZ6Ruro6zbVRkFwC55SampopnwklkkXcjmAmCDEyB4iVMZyPk0gs7nkmHpaamho2bdqkbtPU1NRMKypjJQJMJhMvvvjijGJGkh1nI0gM83HbVpBchBhJArFeWc7HLRYtMV1gcKgkczt37vT7N7PZHNIAxFoEmEymGW3NhDJSwlsSGVp8TsHaJOaU1ECL/WmmCDGSYOKxspyPWyxaI5iHZbp3HfidcAZAEQFFRUUcP36cffv2UV9fn/B3HayNwlsSeWI6rT2nUG0Sc4r20WJ/mg1CjCSYeLk/5+MWi9aJ9l2HMgAOhwO3201RURFvvfUWdrud73//+1gsFvUUTqII1sZwHp35QKRGQYtbH+HaFIs5ZS6t3LWGFvvTbBBiJMEI9+fcJFau7kAD4GvosrKyKCgoYHJyEoDm5uakTEDReHTmA5EaBS0+p3i2aa6t3OPFTAWbFvvTbBC1aaYhHrVptLRa0FJbUhXfSddoNFJfX68ehYzm+Qb7rNls5nvf+x5GoxGr1Upubi5NTU0AbNq0KeGekVDM534UjdHV4nOaaT2k6fDtuzabjSeffJLa2toYtjz1ma1g02J/CkTUptEwWtlSESuX2OAbz7F//36am5tZtWqV3/77dIR6F76rn5UrV7J161Y6OzuBqbkfkomW+nQyqidHGl+hlefkSzhv3Gzmhbm2co8Hs91q0WJ/milCjMxj5tqeY7JQJl3FY6FMwNE8z1DvIpihS0SCslRYcQWSTHGdakYh3PuNZaoAEQQbHiHY/ogQI/MYMRBigzLpWiwW9u3bh81mi/p5hnsX0Rq62QqJVPWYpbq4TpQAnO79xnJeSDWRlmgSLdi0vMgQYiTFiGVnEiuX2GEwGFi3bh01NTUz2n+P1btQDE1LSwuFhYXs2LEjak9Kqhr1VBbXiRSA071fMS8klkQJNq0vMoQYSSHilaNESx0y1YnX/nsgoarutre309LSQnt7O8ePH2dsbIwf//jH8yJKP5WNaCIFYCTvV8wLcw+tLzKEGEkhtN6ZBFOJ9J1FIloUDwvAo48+GrTqbkVFBTqdjra2NtLT02lsbMRisbBu3bqI2xwu34nWDX2qGtFECsBUFm3JIBX6fSRofZGRcmJEkqT/AnwHKAFOA9tkWW6M4HsPAS8Cv5Vl+YtxbWSc0Hpnms+EmrAifWfTiRZfsTI6OkpHRwdLliyZUnXXYDCwZcsWPvjgA9LS0khLS5vR/QTz8Dz11FNqLR2tHCmeKyRaIKSqaEs0Wt/aiAati9CUEiOSJH0FeBZ4FPgQ+Bbwe0mSqmRZvhLme8uBHwJHEtDMuKH1zjRfCTZhAep7iuSdTSdafMVKa2srBQUF2Gw2li1bNqXq7po1a/jiF7/oV4RvtlgsFvbv38/k5CQdHR3U19dH5W0RTI8QCNpjrnijfRdLWs31klJiBPg28C+yLD8PIEnSo8B9wJ8D3w/2BUmS0oFfAjuBtUBBQloaJ1Jlwporrs1I7iNwwrJYLLz55pt+4iTYBBD42+FEi69YqaqqoqSkhJaWFmpraykoKPD7rMEwtQjffGCu9DmBdoilNzpZ/TNVvDspI0YkScoCVgFPK3+TZXlSkqS3gDvDfHUHcEWW5f9XkqS1EVwnG8j2+VPeDJscF1Jhwk2Vzj8dkd5H4IQFTFvZFghZoCwYvmLF7Xbz3HPPsXr1amw2W9DVWrjfcjgcWCwWIPLEaTU1NWzatCmm3pZYMlf6XCqTCnNTtMT6lFsy+meqeHdSRowAi4B0oDfg773AimBfkCTpLuAvgNoorvME17womiNVJtxU6fzTEel9BE5YwJTVVOC727x5c9TPSBEYDodjxqs1JfZj//79QOQp5bXubZkrfS5VicfcpBVxEwtvdDL7Zyjvjlaer0IqiZGokCQpD/gF8FeyLF+N4qtPcy0uRSEP6Ipl22ZKqky4cyXQNpr7CJywpqtsC1MFS6TMZrXW3t5Oc3NzxMX2AicsLfY3mDt9LlWJ9dyUKguvSElm/ww2X2jx+aaSGLkKTABLAv6+BOgJ8vlKYDnwuiRJyt/SACRJGgeqZFluC/ySLMujwKjy3z7fTTqpMuHOlUDb2dxHoOEOfHc1NTVBE6QpTLdqmakwqKiooLq6mo6ODgCqq6tD9iMtTlihmCt9LlWJ9dyUKguvSEl2/wycL7T4fFNGjMiyPCZJUhNwD/AqgCRJaZ/894+DfOUcELix/V2ueTq2A51xa2ycSHaHjgYtr6KjIVb3EWwrJ5wQ8RUBW7duxeVyodfrcblcYd99YFxK4DWU7Zb6+nogfMyIFiescMyVPpeKxHpuSpWFVzRoqX9q8flKsiwnuw0R88nR3heArUAj1472fhlYIctyryRJ/xewybL8RIjv7wUKoskzIklSPuByuVzk5+fP7gYEKUEkJdVns986ncfBt/S61WqlsLAQu91Ob28vS5YsYeXKlSGToim/azQaAdQ6OTPxaqSSZ0Qw99BaTMNcI1HP1+12o9frAfSyLLtDfS5lPCMAsiz/myRJxcAuriU9MwOfl2VZCWpdBkwmqXmaRwzu6QmVMyTQU7Fnz54ZG+npPA6+qxZFiOh0OpqamsJWBFZ+t6ioiOPHj5OTk0Ntbe2MvRqp5IkTzD205EmIllSYa7X2fFNKjADIsvxjgm/LIMvyZ6f57sNxaFJKIFa5kRFMKID/Ud3GxsZZbV+Ec5Eqk5jv1syePXtoaWmhrKwMj8fDypUrg7pVKyoqMBqNanIyvV6P1WoN+vlwx3tTJWhVoE1SwRDHk1Bz7Xx/LtORcmJEMDNSaf8/mYM2lFDw/VtdXR2nTp2a8X5rKI9DKK/M5s2bWbv2WoqcvLy8kHEeBoOB+vp6mpubqayspLu7my1btrBx40bg2vaP0tZQx3vDiVYxmQqmQyx6Qi9ohEAJjxAj8wQtBiwFI9mTWSihEBh8unnzZiDypGHBrhNqmyUwk2tLS4tfvEi4hGM1NTWsWrWKtrY2Vq5cqQqRwBwnvsd7zWYzBw8eZOPGjSFFa2A8Sn19/YzvXUzAc5dUWvTEC71ej06n8/NKRiNQ5itCjMwTUmX/PxGT2UyOzfomHAsMEo3EKEdigENlco0kXsT3GsoWT7gcJ8rx3snJSTweDw0NDZw6dYqtW7cGFa0Wi4WmpibKysrYv38/zc3NrFq1KuoJNNliUxBfUmXREy8cDgd79uzBbrdTWFjI1q1bgWtBnEajUQ0oDyVQ5vNYEGJkHpEK+//RTGYzWWHP1hj6BolGapQjvWaw47+VlZVB40WCne4JdY1QOU7q6+u5cOECr732GiaTiba2NlwuV9AESfv27aOjo4Pz58+TlZU1rTCa7vmJCXhukiqLnpkQyXyjiPbKykr6+/vp7OxUg92NRiPbtm3zW7zMZ+EWiBAjAk0R6WQ2U1ExW2OoGPampiaAiIxyNNcMFIzKs/DNMQJT3bvBtnjy8/PV7z300EO0trZSV1en/v66deuoqanhwoULYSfE9vZ2bDYb69ev59y5cxiNRvr7+2c0gUa7ck7FLZ1UbHMsSYVFT7REMt/4ivaOjg42bdoE/DH43WazkZ+f75fzZ64Kt5kgxIhAc0Qymc1UVMzWjaxMIBaLhX379vm5Xae7ZktLC4WFhej1+ogNVrBnEbjtoogVZZ/aZDKxb98+rFYrvb29qndjyZIlnDp1ym8iDeaNCZx0fZ/Z6tWrp2wDzeT5RXLvqbilk4ptFkxP4LH5ffv2UV9f7xeE6na7VdHe1tbGhg0bAKZsz/gyF4XbTBFiRJCSTCcqQhn7WKxGDAaD6lWIVFBs3bqVXbt2Ybfb2b17NzB9QrJQ2VQD712v17N7926sVitLly5lw4YN7N27V401KSwspKurK6QXx3dCDCZ0amtrY7qCi3QC9hWcLS0tapBtMifv6USk2IaamyjH5t944w36+/v53ve+xx/+8Acee+wxXnrpJVpaWtDpdBQVFdHf3091dTWHDh3CZrMF3Z4RTEWIEUFKEk5UTLc6nclqJJgRmu53fL/jcrnweDyYTCaam5uBa0GkoQxWYKDsyMgIbW1tVFdXs3PnTr97t1gsvPHGG4yOjmKz2fja177mF2siy/K0OUoUQom8ZKzgfD1Kvb29apBtsrwNkXg9UjWAczqRJbaerh2bf//99xkcHMRut/PWW2/h8XgYHx/nypUr9PT08JnPfIZt27YB8NxzzwXdnhEER4gRQcoSykBqoYJo4HceeughdRulurqakZERmpubQxaq872HEydOYLVaycnJoaOjg/r6etatW6e2YWBggP7+fsbGxsjKygKmxppEUtcGtLWPrbTl4MGDNDQ0qEG2yfI2RNKvtPT8ImW6/p3srSctCCGHw8HAwADj4+M4HA7Gx8cpLS3F6/WSlZVFT08PJSUleDwe8vPzU1aUJhMhRgSaZDYTkBYqiAZuMezevVs97vfwww+zd+/eiO6hpaUFh8OB2+1maGiI4uLiKZ/Ny8ujqKiI0dFRsrOzycvLm7X3p7a2NqrvxguDwcDGjRtnlWQuVkTar1ItDmC6/p3MradkCyHfNjQ1NeFyuSgtLaW7u5vBwUGqqqp4+OGH2b17Nz09PWpMWCqK0mQjxIhAc8x2Aor1RDATcROsvozJZMJqtfLKK69gNptZsWIFNpst7Ar74MGD7N27l6ysLLq7u6mrq5uS9Kympob77rtP9bSES4oWDCU1vG9ArpYCL7UysWulHbMlUOhP17+TucrXQgyO0obKykrOnTvH4OAg119/PUVFRdTX11NRUcGDDz5IQ0MDdrudPXv2qOMnVftIMhBiRKA5YjEBxXIimIkR8v2Ob30Zm82GxWLB6XRis9m47777wq6w6+rqOHDgAAC33norO3bsCCpcdu7cOW2l4WD4rvo6OjrUkwCh4liSZYi1MrFrpR2+RFNnKJTQD9e/kynCEi2EgvVxJXjVbDZTUFCAJEmMjIxQW1tLeXl5xOMn3DUEQoykNOEmoVRGi/utMzFCvt9RvBw//elPcblcFBQUqCurcJPWnj176O3tJSsri+3bt2MymSIKplWMjnKceMeOHZhMpinX8F31dXR00NbWxqpVq4KeTkq2u1wwFYfDEVWdoVBCf7r+nSwRlkghNF0fHxkZYWRkhHvuuYeuri7q6+txuVwRjZ9IrzGfEWIkRQk3CaU68ZiAErEaCXcNJfbh2LFjdHd3k5aWxurVq/22VAK/397eTktLC93d3Vy+fJnvfve7/Nmf/RmvvfaaejImVMEt5bs2m01N0Pbss8+GPf2xadOmkDVntOAuD2Q+rjCDvWffOkPNzc3quwn2zmYr9JPxzBMlhEL18fb2dqxWK+Xl5fT396u5fMrLyykoKIho/Ex3DYEQIylLuEloLhDLCSgRq5FIrqFsp9TX1wP+3qxg36+oqECn0/Hxxx+Tnp7OoUOH1KOFSu2a9vZ2IHiissLCQpqamigpKcFut8/q9Ee8vFWKcYv0tI/v9+bbCjNUH1HqDAF+p7OCvbPZCP25/sxD9XG9Xk9vby9dXV0sWrSIRYsW+cWGRPM8tej11QpCjKQo4SYhgT8zWY1EuwKM9BoGw7WEaZF8v7a2li1btvD+++8zMTGB3W4nNzeX9PR0uru7ufXWW6moCF5wq7a2lh07dgCowbNutxur1TrF6Eci/OLlrVK2knyrEkdi5ObjCjPUew4lcEO9s5kK/bn+zA0GAw899BC///3vuffee9V7c7lcLFmyhMrKSmw2G1evXlVPySnvAP64MJhuu2suBEHHAyFGUpRwq+z5TrSnBYJ9P9oV4GxXPKG+v2bNGr70pS9hNptxOp0MDg6Sk5NDVVUV27dvV9sV7Lsmk4lnn31WPSnzj//4j1EbfV9i7S5XjFukVYl9mY8rzHAJ6YIJ3Fhvqcz1Z261Wnn00Ufp6urilVde4cUXX8RkMlFRUcHKlStpa2tjxYoVnDx5knfffZeysjK1tEM084UWg6C1gBAjKUyoSWg+M5PTAoHMZAU42xVP4PfhWmr2iooK9aSMXq/n7NmzNDQ04PF4eOmll6Z1vRsMBvLz87FarYyNjdHR0RGV0Y9njIBvLpVIM8QqzMcVZrh7DnVqZroA5lhdP9VxOBz86le/oqOjgyVLltDR0cGvfvUrvvGNb/jdt9vtpru7m6qqKjweDy6XSw1ijZfHaL7ERgkxMoeZL53Yl5meFvBlpivA2a54lO8rwclK3pCdO3dSW1uLw+HA4/GoaeWjub+LFy/S19dHWloadrudW265JS4eomjvN1hV4kivMR9XmMHuOdh7slgsHD9+HKfTGTaAORbXTySxnNOU3wLYvXs3nZ2dAGqA+TvvvEN3d7calFpbW4vValXzBvkK53h5jOZ6nI4vQozMUeZTJ/YlFq7kQCMZyV5wLLFYLOzfv5/JyUk6OjrYsGEDeXl5fpV4gYi8CA6Hg927d9Pf309hYSFLly7l4YcfjqjgnCLsioqKaGpqwmKxxNwTl2zjFkgqCvhAAa5sy126dIn+/n4qKytDBjBHQ6KfTaQ5Umb624rn6OLFi/T397N06VJuuukmqqurOX/+PBUVFezfv5/m5mZWrVrF1q1b2bNnj5pJeevWrer14+UxmutxOr4IMTJHmU+d2JdYuZKV7yXiFI6SK6a8vByXy8XAwID6716vl+eee46RkRFsNhu1tbXk5eWxZs0avvzlL0ckKOx2O0uXLqWnp4c77rgj4sq3SrIn5fj4vn375nRsUqoK+EABDqil7A8fPkxBQUHE21+hsFqtatXpmcQbRUs0OVJmgm+8Un9/PwUFBVy+fBmj0cgjjzzCSy+9pHqUlGfb2NhIW1sbJpMJm82Gy+VSfy9eonqux+n4IsTIHGU+deJAYjUxxFvQORwOnnjiCfbv3096ejqFhYUYjUZMJhPr16/n3LlzXLlyhTNnzlBYWMjVq1d55513yMzMJDMzE4fDMa1RUILv4FqQc7AMrqEwGK5VKm1ublZPEsxlUZuqAj5YvJEy9r/4xS9Om/tiOhwOB7t27eLQoUOUlJQAxP3ZxCNHii++8UrLli1Dp9ORnp6O0+nk7/7u7/j85z/P0qVLOXv2rOpdqqur49ixY2ELXMaaWMfpaNnzJ8TIHGUuB5slilhOfsEmAYvFwoEDB+jv70eSJAYGBqiqqsJms7Ft2za6u7t54YUXuHLlCp2dneh0Oqqqqjh79iwGgyEigznbflBTU8OqVavmhahNZQEfKMBjOfYtFgtWq5Xi4mJ6enqoqamJ+7OJdY6UYGzevJm1a9cC0NPTw4svvsiZM2ew2+384Q9/YOnSpdx7771s27Yt6npPsSRWiyute/6EGJnDaG0/PlHESv1Hc3phuvYEBqQq38nMzCQjI4Px8XGKi4vVEyU1NTXU1NRw6tQpWlpaqKqqIi8vj+7ubpYtWxb1yZPZbFfNF1E7l+5Vafts450cDgf79u2ju7ubyclJPvOZz0TlXZspod5FLOa0YPltTCYTWVlZuFwu0tLSGB8fZ3h4mLa2NvLz8zEYDJjNZqxWK4sXL8ZqtaaM5wyu3fPBgwdpaWmZEvyuFYQYEaQ08Qxyg8hPL4S7xtGjR3n11VcBuHDhAhs2bOC+++5Tq+2azWaMRiPf+c53APwm30D3+0xPnkRD4DOdT6J2rtxrrMZBe3u7Gn/S1tbG1q1bZ31EOFLi9S6C5bex2Wx8/etfp729nUuXLpGWlsaCBQv8tmOUTKxNTU1qjpFUIFB8QWTB74lGiBFByhLvILdQRHMNh8NBQ0MDfX19eL1eMjMzaWhoYM2aNRgMBrZv305jYyN1dXVBJ3nf476JWLEHPtOtW7fGVfgIZk+wvjHTcRAuYeCqVasSsl0R774emN/GbrdTUlJCXV0dv/vd73j77bfR6XSUlpb6xdp0dnaSk5PD6tWr8Xq9fgGsWkbpC8r8smXLloiD2BOJECMaQsvBRVok3kFuoYjmGsppluzsbIaHh9HpdOoxS4A9e/bQ1tbGsWPHQgYaxiOBVbj2Ks+0paWFXbt24fF4NLnHLAjtAZnJOIhFwsB43U8sMRj+mPZ9+fLlNDQ0YLVa+c//+T/z4IMPcsMNN0wZh77bVd3d3WzatCniZ5rsOd23L6xcuVKTQgSEGNEMWg8u0iKJCHILRjTX0Ov1alyIwWAgMzOTkpISv5oyRUVFfvkMAt99e7t/Bd7R0VEeffTRuByz9X2mSnKnwD3m6SZYLUzA84VwSf6iHQexSBg4WxLh2TSbzWzZskXdskhLS2NwcJDR0VH+8Ic/UFpayu23384jjzyiejADt6vq6+sjihXTwpyeKrFQQoxohFQ9VphM4hHkFqkhjeQaDoeDPXv2MD4+zpIlSygpKaGsrMwvALCysnJKPoPAd19R8ccKvIsWLeLEiRP09fWpiZhiuY3i+0z1er3quVHE3nQTrFYm4PlCOA9IqHinUP073G8lSmDG27OpHKc/f/48aWlpTExMUFhYyMjICOnp6YyPj9PX18ebb77Jhx9+yLp16/jud787o+0qLc3pqRALJcSIRkjlY4XJJJaDLNaGVJmMbrzxRjIzM6fs1SqG/+jRozQ0NNDd3a1W13U4HH6fUyrwWq1WhoeH1T3vUNsokRqPYAHAvv8dKPbMZnPYCVZLE/B8IJpV73T9O9RvJVJgxmMV75tYEMDtdpORkYHX6yUjIwOj0cjk5CRDQ0MATExMkJ2djdPp5ODBg2RlZfHss89G3S4xp0eHECMaIVVcaanMdAY61oZUmYxOnz5NZmYmVVVVQX/vyJEjeDwedDodIyMjPPfcc+qkr7SroqLCrwKvzWYLu40SifEIFqzq6wlRvhfopQk3wYoJOPFEKsgj6d/BfivRAjPaBUawca38Ta/X88wzz3DgwAEyMzO55557uPHGG7l48SJjY2PcfffdbNu2DYCnn36avr4+7HY73d3djI6OIkmSeoy3trY2qnaJOT06hBjREKngStMy4cRGJAY61oZUCZR744036O/v59FHH1XLkiv4Rro3Nzdz5coVqqur1Rojb775pl+b161bR01NjV+BL6vV6ndUL1LjEfg5Jd31dMYq3AQrJmDt4WuYZ9K/tSwwg41r+GMZh8zMTN5//33sdjsZGRl89NFHlJSUkJaWRnp6OmNjY2oZBp1OR0VFBW+++Sbp6emkpaXh8Xhobm6ecfvEnB45QowIEkY8952nExu+waKhir4phtTXpTuTdvjeY2trKw6HgyVLltDV1cXbb7/NqlWrgh6drK6uBq7VFTEajVy4cIGWlhZKS0v92qzc1zPPPBO0aFekxiPwc3V1dZw6dWra7003wYoJWDsEnsTavn07QFRjUEsCM3B8BQpqi8XChQsXOHz4MDk5OVy5ckWNB5mYmCAvL4/Ozk7cbjcjIyO89dZbPPnkkzz22GPodDrOnTtHdnY2BoMBm81Gbm4u6enptLa2Ultbm7T7jhdaCjYXYkSQEOK97xxsUsrPz/cz+qGKvvkOSIA333xzRsdofe/RaDSyYcMGAEpKSujp6aGkpIQTJ05w4MABvxwevkGogLoV89prr2Gz2Th79ixpaWl+bfb1qAQr2hWJ8Qj2Oa0YHUF0hDIqgSexAJ599tmo360WBGawOcRXUBuNRhoaGvjd736nZoxNS0sjOzub3Nxc7rzzTr7whS/wxBNPMDg4CEBGRgYdHR3s3r0bu92u1oZ6++23yczMZHJykrKyMurq6pJ67/FAa8HmQowIEkK8950DJyUlrsJoNKr5O+rr6zGbzRQXF6v7wOBfmXft2rW8//779PX1qdVzI528fb0vb7zxBq+88go5OTmsWbOGb37zm5SUlLB3795pc3jk5+djtVrR6XRkZ2dTVFREbW2tX6G66bwfkRqPwM9pwegIoiNUojq9Xo/b7SY3N1cVw0qOm1gGfSdKvAabQ2pra1UB7Xa72bFjBw6Hg8nJSQAmJycZHh5mYmICl8vFt7/9bdxuN2lpaWRmZqLX61m2bJkae2W1WqmtrcVkMvEnf/InXLx4kb//+79PWNbZRKK1YHMhRgQJId77zgaDga1bt9LY2IhOp2Pv3r1T8nc89NBDjIyM8MEHH1BUVARMTfKleFUGBwcpLCykp6cn4kGq1+tVV6/X6wVgeHgYq9XK9u3bqaio4MiRI2FzeCi/o6SdLikp4bbbblMrhyrPTXgxBArBEtXZ7Xa17kppaSnr1q1jcHAwpmnAE72yDjWHKNe0WCwsWrQo6HdlWebkyZMMDQ2pWzbXX389zzzzDDfddBN79uxR06U3NjYyMjLC4OAgn/3sZ1mzZk3c7imZaC0WSIgRQUIIZTytVmvYdOiRouT0UCZlo9GoBp4pA661tVXdlunp6eEHP/gB3/3ud/2SfFmtVgoKCpicnESWZTVBWaTXV1y9ixYt4tChQ0xMTLB48WL0er2fYKqqquKll16aMhE4HA4aGxsxGAxUVlbi8XjYsmWL35aT7zPVugjR0p70XCUwUV1vby+yLNPR0UFlZSX9/f1s27aN/Px89Hr9rIvnKSTjlM10R48XLVrEunXrOHLkCKOjo8iyTGZmJl6vl/HxcVWIZGRkcPPNN6tJzR5//HEOHjxIQ0OD6iHRatr0WKG1BY0QI4KEEWg8rVYrX/3qV+nq6qKsrGzKSZNo8N0iaW5u5lvf+hb19fXqdo0SoPnaa6/x/vvvk56ezrFjx3j77bf93Nq7d++mu7tbrVUxXYVSxdi63W41hsNqteL1esnKyqKwsJDFixfjcrn8BFOwui++wYYOh4OsrCy1gm8kE4XvqQkt1JPR2p50pKSagPI1KgCPPvooHR0dANjtdm655RY1SVcs30cyVtbTHT222WzU1NRw/PhxioqKuHr1KkuWLGFsbEwNSpVlmc997nN4vV71mbW3t/sFcGs5bXos0dKCRogRQdJobGykq6uL4uJiurq6aGxsnLEYCQxQPXToEDt37lSPwSoG+oEHHuCDDz4AwOl08otf/IILFy6oE/POnTupr68HCCkCfI2+4t7Nzc2lqKhIjcBvb2/HaDSqk6Fv+ndlJelyufwi9GdT0CpYWfSVK1cmVQBobU86EmYioLQgXhSjYjabWbJkCZWVlfT29vLZz36WL3/5y+q/xfJ9aGVlrWyPWq1WSktLsVgsDA0NMTAwQGFhIU8++STvv/8+FouFtWvXUlpaqm57KnlIQi0QBIlDiBFBQvGduOvq6igrK1M9I7OJWDcYDNTX19Pc3KyWBFcC3AC/Uy6f//znMZvNZGRksGLFClpaWjh48KBq+AOP/Pq23TfpmE6no7e3lytXrtDT08O6det4+OGHef3117l69SqTk5OsW7duSvr3UCtJ30k12pWZYvh9y6InWwBobU86EqIVUFry/jgcDtxuN6WlpZw7dw6Px8PRo0dxOBxTTp7E6n0ke2Xtuz2am5tLf38/J0+eJDMzk7y8PG644QZKSkqwWCyqt+ipp54CiGiBMBfRgngOhhAjgoThcDh46qmnaG5uprq6mp07d/Liiy/GJGYErnkyVq1aNWWyDXTjbtu2jS1btrBv3z6sViu9vb00NDRw6tSpoMbEV4Q0NzfT0dHB+vXr6e7uJjMzk56eHhYtWsTly5e5ePEibW1trFmzhq6uLh599FH1vsKtJH0n1cC8IZGgGBqlLLrH44lpsOJMSNTKOZaTa7QGWyveH1/PmM1mA655/m677TZOnz7NP//zP/PlL385pu9DC0YtMGng8PAwkiQxMjICwI033khPTw89PT0YjUZ6enpobW3lK1/5ivobqSaYZ4OWxHMgQowIEobFYmH//v1MTk7S0dFBfX0969ati9mxuVDGL9DAKNsvNTU1fkFrgcYkUIRYrVZuuukmJiYm1IJZDz30ED/4wQ84duwYdrudPXv2MDo6qgoW5XeU3wy1kgyXNyQcvgbBt8CdVlzN8V45h5pcZ2oooxVQWvD+OBwODh48SEtLCzqdjp6eHlavXo3FYsFisWC1Wjl9+jSvvPIKL774YkxW/loxasr2rOIRHRgY4OOPPyY/Px9JkhgbG2PVqlUhPbBa2WpKFFoRz8EQYkSQ8gQansDBFWrCMRgMbNy4MWjWUWWybWpqoqOjg1WrVtHU1MSHH35IeXk53/rWt9RI/C1btnDkyBFGRkaw2+3cc889uFwu3G63Wmdmur3omRi1YAZhrruYAwk2ucLsAjWjEVDJNmaBsUJer5eysjK8Xi+bNm1Cr9fzL//yL2oG4NnEZfmiBaOmLBZGRkYYGhri0qVLPPLII3R1ddHa2qp6CIGwHthkbzUlEi2I51AIMSJIGDU1NWzatEndpomkDPd0RLpCCzXhhDImymRbWVlJR0cHFy9eVJOPjY2NkZeXpxo+AI/Hw+joKBMTE/T29rJ48WIcDgclJSUcOHCApqYmFi5cGDKodCZGTQsGIdkEm1y1XtgtlgQLeq6rq1OFr9Pp5Pe//31M4rJ8SZZRCwweP378OB9//DGjo6MMDAxw4sQJTCYThYWFFBcXq1WwKyoq/LZm5ivJFs/hEGJEkDCU0yozGQjh0l0rhsd3bzya1V8wY+I72W7atIkNGzZw6NAhbDYbJpPJ78jw2rVrKSoqUqt8GgwGxsfH6e7u5ujRo2pp8qqqKrXN0QimUGh5lZMoQk2u8+W5+PYBJegZoLOzE4vFQk1NDT/72c/4/e9/z7333us3LmYT85EMo2a1Wtm1axe9vb1kZmYyNDSEy+Xi6tWreL1edDodLpeLzs5O8vPz2bx5M21tbX5VsGPZznDVgkM9Ey3E2WjVEyTEiCChRDsQAk+wBMYFuN1ujEYjra2tnD592m9vvKCgIGSwqG8tmmBxFsEm2zVr1qg5RZ577jl15b1582buu+8+mpubWbx4MR6PB5PJxJUrVwBYsGABw8PDXL58mdtvvz1mxtFg+GMStbq6uqS4yaebWBMx+Qb2KS2v/mJNYB+Aa6dFlCPu69evJycnB5vNhsPhmJLTZjYxH4kyag6Hg6NHj/KTn/yEf//3fweupXnPzs7G6/Vy3XXX0dnZiSzLpKWlkZWVRVpaGgsXLlRLQsTaQzZdteBgz1QrcTZaRYgRgWYJjNtYv3590LiAoqIili1bxqlTpygtLVWr4164cCFoYKPvMV9APVHjm5sDCBpjovxGYECsbz4TJbHZbbfdxvj4uHrk9p577pk2iVq0z0e5VqiTQPEikok1mZOvVld/sSawD2zevJnm5ma1NovZbCYvL4/q6mo/g5wqW3zKCbxXX32Vq1evkpWVxdDQELm5uQwPD7NgwQKWLl1KbW0t58+fp6urC0mSWL9+PXfffbffHDDdIiAa4RwqVincM02VZ54shBgRaJbAuA3lBItvXEBRURGHDx+moKCAiYkJuru7Wb58uRqrETjwfScEJV384sWL/XJzWCwW3nzzzZBGNFxALOD3b06nk7fffpuSkhI14DUYM/EgJHNyi+TaYvKNP4F1aW644QZ1vADU1taqnhFfg5wKW3zKKSGz2UxaWhoZGRlIkkRhYSHDw8NkZmYyOjrK8PAwDoeD1tZW1TNy//33YzKZIvaQRSucQz2/cM80FZ55Mkk5MSJJ0n8BvgOUAKeBbbIsN4b47F8B/z/gU5/8qQn4u1Cfn+toYb8yGKHaFRi3oVTf9Y0LaGpqYnJyktHRUdLT06mqqmL37t1+RelCTcLV1dXANc+Ib24OCL7CUdzFPT093H333SFPrviuyg0GA3/xF38x7f3PxIOQzMktkmuLyTf++OaX6e3t5Te/+Q0Gg4Fdu3ZRWlqqBokHE85a3sryPSXk8XhIT0+nsLCQyspKCgoK+OCDD3C5XOTm5nL+/HnS09NJT09nfHyctLQ08vLygMg9ZNEK51DPL9wz1fozTzaSLMvJbkPESJL0FeD/Ao8CHwLfAv4MqJJl+UqQz/8S+AA4CowAjwNfAqplWbZFeM18wOVyucjPz4/FbSQFre5XTteucAJKiSf52c9+xnvvvUdJSQlGo5GnnnqK2trakN/1/bvT6VQL1wGqwQy2H/zEE0/wq1/9Cq/XS1VVFb/+9a9jckzSbDbzve99T03K9uSTT0Z8RDeZAlMrMSPzHcWD8MILL6jZgDds2MCzzz6bks9cuZ+9e/dSWFiIw+Hg85//PEeOHMFqtapZUt955x1kWaa8vByXy8XY2BiTk5Pce++9Ud+7VufHuYDb7Uav1wPoZVl2h/pcqnlGvg38iyzLzwNIkvQocB/w58D3Az8sy/LXfP9bkqS/BP4DcA/XRM28Qasu8+naFW5lYzBcS91eXl6ulk33zToa7jiv4unwLVznOwEFrmDMZjNms5nR0VHS0tJob2+PWc4GJQ18a2srJSUlysCNiGTGRkRy7dm0TwiZyDAYruXLOXDgAGazmYKCAnp6eiJKZa+156ucmOnq6lK3UZcuXcrw8DBms1nN5TM4OEheXh45OTmUlpZyxx13cPnyZS5fvkx2dnbU1xVei+STMmJEkqQsYBXwtPI3WZYnJUl6C7gzwp9ZCGQC9jDXyQZ8e3Ne9K3VHlpzmfvmC1DaZTQacbvdfhlLI8FkMvHss89GPZFYLJYpdVwUT0ldXZ0am+J0OnG73Vx33XWqIFmwYIF6H7OZuBRB1NvbS1dXFwB79uyJ28pMiwYoGGKlGh0Gg4Ht27dz8uRJ+vv71ZMk4Y6Yau35Wq1W9R4KCgqYnJykpqaGS5cu8etf/5q+vj6Gh4cZHx9nYmKCP/3TP8Xr9bJlyxZ0Oh3f/va3mZyc5PDhw1gslpA1pkKRCkHP8Ri/WpkTUkaMAIuAdKA34O+9wIoIf+MZ4DLwVpjPPAHsjLp1GkdLyj9wIty6dSudnZ3s27dvxjkBZnJkeN++fXR0dHDp0iVuv/123G43jz76KF1dXZSUlHDbbbfR3d2tnrTR6XTccsstLFiwgI6ODn7+85/P+hSL4hkyGAycOXOGm2++OW6eKy0aoFBo1ZOnda677jpWrFiB2WzmBz/4ASaTiR07dkzx4LW3t6vp41taWpL+fB0OB7t27eLkyZNMTk5it9spLi7G6/UiyzJLly7l0qVLTExMkJGRwfj4OEePHuXLX/4yGzduxGKxJK3t4ZitoQ9MQxDr8aulOSEtKVdNApIk/XfgIeBLsiyPhPno04De5//KEtC8hGAwGKitrU36pB6sUmZ+fv6UnAAOhwOz2YzD4YhLG2w2G2vWrMHr9XL58mV++MMf0tHRQXFxMZ2dnZjNZnQ6HV1dXeh0OjweDzfddBOZmZlkZmb6eVTCEe4+FI+Vx+NRg2jj5bkKdRxRiyjPJfAUiCA0FRUVrFy5EqfTiSzLOJ1ODh06xP/4H/+D9957z6//6fV6ent7effdd+nt7Y1qazAetLe3Y7fbWbp0KWlpadTV1fGLX/yC73znOxQUFHDy5EkkSSIrK4uJiQkMBgMmk4n6+noMBoOa3Xn58uVs2rQpJtmdZ4ti6L/3ve/xzDPPRD2PBX7fYrHEfPxqaU5IJc/IVWACWBLw9yVAT7gvSpL034D/DnxOluUz4T4ry/IoMOrz3Rk1dr4RzQrAt7hVdXV10GNxer0+KsUe7QpEMXZNTU1kZmZSXFyM0+mkqKiIvr4+ysvLqa2tpbu72++kja8XJ5ShjGY14+uxineBO61t1YVjtp48rbieE4nyzCwWC3v27OHdd9/FYDBw5MgRLl26xI033qh6SVwuF0uWLFGFcKSFGeOFIqTgWtmI7du3A5CXl4fRaKS4uJjTp0/zmc98hlOnTlFSUsLtt99OeXk5ZrMZvV5PfX39lBN3yWS23r3A70PsMwtraU5IGTEiy/KYJElNXAs+fRVAkqS0T/77x6G+J0nSY8CTwL2yLJ9MQFPnHTN19Xm9Xvr6+lQ17ltMLpqBHM31A6vcHj16lJ07d3Ls2DHKysr4yU9+Qnd3N3V1dWoG10CRYDKZ1CRnwU7q+CZVq6mpoaWlJWhVYIVE7VVraasuEmb6XLTkek40vkHdjz32GEeOHGFgYICRkRHa2tqw2+386Ec/Uo2/kkY+2cLUV0gNDAywd+9erFYrmZmZZGVl4fV6WbZsGQBlZWXodDpGRkbYvXv3lKSFWvCKQPSGPlBAB37fN7lirMavluaElBEjn/As8IIkSSeBRq4d7c0FlNM1/xewybL8xCf//TiwC9gCXJIkqeST3/HIsuxJcNtDkoqrON82R7sCaG9vx2q14vF4OHz4MGfOnOG6666bUkQu0oEc6fWDGSmj0YjRaKSqqgqPx0N+fr5f4Fu4kzzB/s03Gdv+/fvVEwCAZib9VOljM2W+xpv4jsmCggIyMzOZmJggOzsbl8tFTk4OH374Ibt27eLZZ5+NmRGK5fz15ptv0tTUxKVLl8jOzqa9vZ2CggLWrVvH//pf/4vW1lYaGhowmUwhkxZq5X1HY+hDCehwyRVj2U4tPK+UEiOyLP+bJEnFXBMYJYAZ+Lwsy0pQ6zJg0ucr3wSygJcDfuop4H/GtbERkoqruGABqJEKB6WeTG5uLj09PRgMBvr7+6cEbkYzkCNdgQQzUrFeIfpu/wCsWLGC9vZ21qxZw5e//GXNv9u5gJZcz4kimEfO6XRSUVFBR0cHWVlZ6ikw5dhvLOLHZjt/BVvUVFZWcuHCBfr7+8nIyCAzM1Ot87Rx40ZOnToVNmlhuG3TRI+/SA19KAGtFaGQCFJKjADIsvxjQmzLyLL82YD/Xp6AJs2KVFzFBQtAjUQ4+E5cRUVFrFu3DofDQV5eXtCJZLqB6DvJRFIwLpiRMhiiLzbneyw5MMbD1928b98+rFarmrnV4XCkhNhMdbTkek4UoTxyOp2OZcuWkZ6ezsDAAE6nE4PBMKMj9OGuO5P5K1BAbdiwgaKiIs6dO8fNN98MQEtLC2lpaWpsWeC7VdoQKt4qVRZ781FAB5JyYmSukYqdMJRRB9T4j3BbGEqm0W3btpGfnz9lIlEyqwIhg9FCFbw7cOBA0KOMSpsCjZTD4WD37t00Nzdz7Ngxdu7cGZE7taWlBZvNhk6no7a21u97yr59TU0NBw8eVN3KsRabWtre01JbQDuu50QRzCNnsVhoaWlhYmKCrKwsqqurqa2tJT8/f8ZH6ENdN9T8Fa5fBBNQTqcTu91OdnY299xzD1u3biUvL4/y8nK/uSUwCDwUqbLYm48COhAhRpJMKnbCUEZ9uhVIsICswM8oVTqVEuibNm0KKhB8J5nm5ma8Xi8ej0edjJV00IEnWwKfs8ViYf/+/Xi9Xs6dO0dlZSV/+qd/GvJUi3LdrKwsWltbMRgMdHd3U19fPyXJksFg8HMrx1JsxmLFFysBEUtXfSr0fy0S6JFrbW3l7NmzaqxIWloan/vc57jzzjt57rnnYmacw81f0/WLQAFVXFzM2bNnycnJYWJigpMnT3L77bdjNBr9MixH07/isdiLV3+dbwI6ECFGNEAqdsLANkeyAolEeLW3t08pgX7w4EHq6upwuVyqF8U3c2t1dTV9fX28++67lJSUYLfb1VWU77aQ2+1mcHBwyoQ2MTHB1atXGR4e5umnn+aFF17AaDQGnfiUye348eNkZmaSkRF+CMVLbM52xRdL93WsXPVadqNrHcVAKicufvSjH/Hhhx+SnZ3NyMgIBoOB5cuXU15eHnPjPF0wt1JR+ODBg2zcuHHKlubRo0f55S9/icPhYNmyZdjtdux2u5oILSMjg8HBQcrKytTfjbSPxHr8if4aP4QYEcSEcCuQwJXEdMGo1dXVdHR0MDExgcfj4YUXXuCf/umfVE+HcoTP9yiw0+mcUp/G1w184MABhoaG1OOByoRWU1PDrbfeyuuvvw7AwMAA7e3tVFVV+RnWwCPBFouFhoYGVQyFO04Y6p5ns8Ka7Yovlu7r2bQlVdzoWiZYQPmFCxcYHR1FlmV0Oh1paWns2LGDTZs2sX379rjms1FQ+sXp06fp6urihRdemJKx2Ol08vLLL+N0OikpKeHpp5+mqamJn/70p/T19WG32xkbG0On03H58mVqamqi7uuxXOyJ/ho/hBhJAsl2S8fr+ps3bwb84zyiXUkYDAZ27txJfX09Fy5c4LXXXkOn03HmzBkKCwvp6upSDZ9SvVP5XmB9GqfTiU6n49y5c2RmZrJ06VJ6enqoqalBr9djNpupqKjg4Ycf5sMPP8TlcjExMUFxcbFfQG2we1BiQmaTlGs2K6zZrvhi6b6eTVtSMWZKawQayNdff50DBw4gyzKyLFNQUEBGRgZer5fjx48H3VKMB0pw+Pbt2+nv7yc7O1tNPQ+oydkOHz5MXl4ebrcbt9tNfX09FouFV155BVmW0ev1pKWlcdttt7F9+/awcWnxRvTX+CHESIJJtpsvHtcP/M2amhpV8Ljd7qhXEr4BoBcuXKClpYWysjJkWQ57hM93BaQUoOvp6WHhwoXcdddd9PT0sGzZMh555BG/ar1bt26lvr4es9mM0WjkO9/5DnAtZXa4ewgXtDud4IvFCms2K75Yu69n2pZUjJnSGoqBbGlpobCwkP7+foaHh/F6vUxMTNDX10d2draaTfpnP/sZ5eXlMak4PR0ulwtJkqYsBJ555hmamppoa2vD6/XS1tZGd3c3DQ0NPP300+zcuZMNGzbQ0NCgekO3b9/OSy+9lNQtEtFf44cQIwkm2W6+eFy/vd2/6JbFYuHNN99Ur6Ocnol2JeE78H1jRSJxMStt6uvro6enhzvvvJPCwkI8Hg/PP/88drtdPeHicrnYuXNn0IDclpYWcnNzKSoqmnIPoYTdTIJ5k7HC0kKsktVqjepYtWAqigdi165d9Pb2cvz4cbWybVpaGgUFBSxYsICFCxcC8NZb1+qE/uQnP4n7Mw9M875jxw5cLpdfPpGxsTEyMzNZsGAB586dU3Og3HfffaxZs2bGyRXjhRbGzVxEiJEEk2wjNJPrT7fKV4puNTU1UVZWxsDAQNAjvDNZScx04FdUVFBYWEhTUxMlJSX09fWRmZlJdXU1VquVwsJCP3ERLCBXOb7b09PDunXr2LZtm98WVKjJMVbBvHMdq9XKV7/6Vbq6uigrK+PFF19MyGp9LuJyudT4ikuXLpGWlkZ6ejqSJOHxeFiwYAFerxebzUZmZiYnTpzAYrHEfbsm1Mk7ZQ5av349R44cob39WmFMp9PpV7QvcFwmW8AL4ocQIwkm2UYo2utHssoPLLqVl5cX9AivUr3W97rBhE6sym4rxbYULwiAzWabEvwa7BqBYmZwcJD8/PygJ2sCJ8dIBV88AltTicbGRrq6uiguLqarq4vGxkYhRmaAw+HAZrNhs9lob29ncnKSrKwsRkZGyMvLY+HChXzmM5/hwoULDAwMqEd9E0VgP/edg2w2GxaLhaGhIdWLE6poX7LnTkF8EWIkCSTbzRfN9SNZ5QemVFeOFyqJyyC4qAk8AfP4448D4avcTkfgdRS3cKg8I+Ge0Y4dOwD8TugEfiZU7QjlxE20JDumKJHU1dVRVlamekbq6uqS3aSUQ+kvx48f58qVK6xatQqLxYLX62XhwoXcc889NDU10dXVxW233canPvWpiE6AxbJ9wcac8r/37t2L3W5ncHCQoqIiVqxYETY7bLLnzmQwXxYnQowIwhLJKj+UK1aJG6msrGTz5s1+osZisfD8889z6NAhSkqu1S9UAkEj2RcOHKChAmZ9T9wobQ1GYNZXuObx8RUz0U6OvvcfqajQyr54LAg1ifr+/cUXX1RjRoRXJHqU7USXy4XD4eD06dO4XC68Xi8ZGRnYbDbWr1/P7bffzt13361Wok6EYZtOWFssFk6ePElaWhoZGRlcd911ADHLDjsXmE+LEyFGBGGJ1DUaLObC16iC/34vXPM4lJSUqFH2itCZTvyYzWZ27NiB1+vllltuYevWrerpGKPRSFFREc3NzWo9i+kIzPq6fv16cnJy1JiSmUwAkYqK6cqGp+q+eCTBvUajkfr6er9EWILo8N1OrKysxO1209/fT3p6OiMjI/T19bFy5UoOHDjAhQsXePzxx/3EebxwOBwcPHiQlpaWKaUQFOH//PPPY7FYGBwcpLCwkOHhYdVrk+pCPFbMpcXJdAgxIogLwVK/++blAKZE2SuDLJiXRTlRc/bsWR577DEuXryoBro1NjaqA9ZqtaLT6aJqa7Csr3l5eeqkaLFYog7ADSUqAtPTR1o2PFYkyuU7XXCvUo+kubmZVatWzekVXzwJ3E4sLCzk1Vdfxel0Atfew0cffcRtt92WMGNmtVp58sknaW9vZ3R0FGBKzp6mpiYuXLhAfn6+mg9l+fLlFBcXz+jkXazRytbIXFmcRIIQIwKVUMGkM3EThounUAhldH29LFarlV27dtHT04PD4WB8fJz29nZ0Oh0ul4vMzEzq6urU+i+FhYXY7Xaqq6vVgL7p2uub9RWgtrZW9YwYjUb27dsXtZck1NaV77MM3LryzV8SjwkwkS7f6YJ7lXokymfm8oov3phMJr+Ef3l5eTz33HMAjIyMkJ6eHncD77tgePLJJ3n99dfJyMjAYDDwzW9+k/r6egwGA2azWe0Tly5dAmDJkiXcfvvtfPe7303oNlK4e9HK1sh8CtoVYkQAhB6As3ETTmdUp/t3pTbFoUOH0Ov1OBwObr/9di5evAjA9ddfz65duygoKFCzv+bn57N7926sVqtf0Ol08Qvbt2+nvr4e+GPMiBKDMtPCYtFuXcV71ZNIl28kwb2+Ig/g3/7t30TsyAxR+prVauXDDz9U/z45OYnL5eKxxx5jzZo1cRe5Op2Ojo4ONePr5OQkN9xwg3pdX5F63333sWHDBvLy8vyOzCfb4EYyThLpOYl2caIVr060CDEiAEIPwEjchPHq/O3t7WpcyeXLl9Vjf1/4whe466671IA83xgE+KO7+qGHHqK9vR2n0+mXcTXS5GTKZyIRDJE8g8BMmeXl5Qld9STa5RtqEjUYDH7p9AEeffRROjo6KCoq4he/+EVC4hrmGop4P3v2rN/fP/roI37yk59w0003xaWP+c4dra2t5OXlYTAYmJycZP369WrblP7ge9IsWOXuZDPdONGS5yQQLbdtOoQYEQDBB6BiYMPl5Ihn5/fN3njjjTeSnZ1NV1cXer1e9WL4Bsk1NzcDqInNdu/ejcfjQafT+WVcjXVyskifgcHwx0yZdrudPXv2JCygULl+rMXPbISoYpz+7d/+jY6ODsbHx/n444/ZsWMHL7zwQspMolpBEe9KbSVfTpw4wa5du3j22Wdj/lx9RbbD4aCwsJA777yTBx54gGPHjqmexfr6etXrOJOTZoliunGi5aBSLbdtOoQYEQBTByBElu8jVp0/mFHzbZOyXaLEgigp51taWujt7QWuiZCRkRGam5spLi5WBUiwjKsw++RkM3kGLpcLj8czRRglCuVegiWgi5ZYCdG6ujqKior4+OOP0ev1eL3elJpEtYDD4cDtdlNYWEh+fj5Lly6lr6+P8fFxJEmipKQEu90el+eqjNODBw/S0NCgjrlLly6pY+/VV1/FbDazevXqkLFSWiLcmNdyUKmW2zYdQowIVHwHoBJoNt2EEcmpkekmmnBGzdd4Go1G9cguXMtHosQXbNmyhbq6Onbv3g1AdnY2gBo74uvdUe6voqIiJp4CvV6PTqebEqcSDC1MFrESEbESoiaTiV/84hd+x7VTaRJNNsr7PH36NE1NTXi9XhYtWsSnP/1pDAYDzc3N6PV6CgsL/VKtxxKDwcDGjRs5deqUukB455136Ovr49SpUzgcDgoKCmhpaWHz5s1JHwOzQctBpTNtmxbiTIQYEQQlGq9BuFMjvu7ZYIGjMy2AVV5errZv5cqVbNy4UU0vXVlZyeHDhyktLcVkMrF161ZVtAQzxMG2SSIdnEp1YCVOZevWrdMG7SZ7IouViJiNsAp8vrW1tbzwwgtJnxC1TKg+qbzPoaEh+vv7WbBgAd3d3VRWVqLT6di8eTMDAwN+W4PxeL7BPCTDw8MAFBYWcvXqVW699dYpx/xT8V3H68RbLJhJwKsW4kyEGBEEJRqjGerUiE6n45VXXlHds6ECR7du3RoyXkW5tiI0lG0al8s1ZVvJ7Xar3hOAFStW0N/f71frItJIeaVib2FhITt27Ah5wkP5PZPJpLYrkmebzIksVt6Z6fpIuBNMwSa/ZD8XLRPOYFRUVGA0Gvnggw+QZZnR0VF0Oh2PPPIIVVVV2Gw2fvSjHyXkGLWvh6StrU0V+larlVtvvdUvn5B419pAK3EmQowIQjJT46BMjq+++ip2ux2DwUBLS0vQxFdNTU10dnZOG68SaED1en3QzxuNRr71rW9x6NChoLkVIjHESoptm82m5sMIFfjn+3tGozFsXQ2tEEvvTKg+EkxwKttkvmL1nXfe4dZbb6WqqiplV8mJIJzBMBgM1NfXc+LECXJycrDb7dxyyy3odDr0ej179+6lo6ODjo4ONm3aFJNtkcDkfb59KVj8WSp7QeY6Wtg6BiFGBHFAmRzNZjMGg4G+vj5uvfVWv8BRo9Gopl/ft28fNTU16ioqWLxKbW2tOsHp9Xq/o7q+AXFKorKdO3eGTKg2nSH2TbE9XeCf71HFffv2aaKuRiRbTPH2Qvgaz5aWFvUEUWFhIdu3b6eoqIhf/epXjI2NsX37dj796U9z8803a+5khVYIZzAcDgcXLlygu7sbt9tNeno6VquVb3/729x22214PB7Wr19PW1ubmnxsNjECgduwwJSkgIH9S7xT7aKFrWOIQoxIkrRUluXL8WyMYO5QU1PD6tWraWlpoba2VnXPKpPghg0baG5uprKyckqm1FATrzLBBYoVmJo8LJyxnc4QGwzTV+wN/Hx+fr4qhJLp6tTK/q/vOywsLKS3t5fu7m6OHz/OwMAA1113Henp6ZSUlGCz2ZBlWbMnK7RAKIPhcDh44oknaGhoYGhoiAULFiBJEhMTE0xOTmKz2TCZTPT397Nq1Spqampm3Ud8habvcXrx/lIXLWyRRuMZaZYk6b/IstwQt9YIkkaso6kjCWxV4j+UbRffo6bhlHqgWIlHQFxgiu3pflMrrk6t7P8aDNdyqjQ2NlJVVcUPfvADjhw5Qnp6Om+99ZaaddXtdmMwGJAkaUbPLd6nALRwykAhmMFob2/HbDarR3iHhobIzs7G6XTi9XoxGo18+tOfZuHChdx9991BxXy0fcS3rysn27RQT0aQ2kQjRp4E9kiS9CVgqyzL9ji1SRAnog0onC2hAluV7ZRt27aRn58/ZdvF19Ub6nenq3sTCwLbEM4wacXVqRVRpJwyUtrxwAMP8P777zMxMYHT6cTj8ZCenk5VVRX/8A//EHUhQuUa8fQCacXLFA4lMaDZbGZiYoK0tDQ1Y/HVq1d5//33OXr0KMXFxZw4cYKnn3561n1kvsWEaEmQzmUiFiOyLP8/kiTtB/5f4KwkSX8ly/Lr8WuaIJaEm1hnu5qOdLAG82jMdKWWaLdiJIZJC65OrYgiJQhYp9PR0tLC2rVr+ZM/+RM6Ojqw2+04nU7KysooKCggPz9/Rllo4+0F0oqXKRwGg4FHHnmE8+fPk5mZyYULF3A6naSlpalVqCcmJujr6+M3v/kN69ev5ytf+cqs+4jS1x0Oh5raHaafC1LNsKeCIJ0rRBXAKsuyFbhbkqS/BvZJktQCjAd85tMxbJ8gRoSbWGebLyLSwRrKUE4XnJeIyWu666SCYVLQgijS6/X09vaqQcCvv/46g4OD3HDDDTzyyCM8//zzEcXjhCPeXiCteJmmo6amhttvvx2z2cyqVatwuVwcO3bM7zNerxe73c5TTz2lFiOcbR9xOBw89dRTaiD6+vXr1WrXweYCLRv26XK4pMK4T3WiPk0jSVIFUA84gN8SIEYE2iBwcIWbWGezmo52sAYzlOGC85566ik16+rOnTvjFhcw3SSpFcOUKitLl8vFkiVL1FLxZrOZlStX0tXVBRBVPE4o4u0F0oqXaTqcTiddXV20tbWRnp6uxosEkpubS19fH2+//TZ/8Rd/Mevrtre309zcrHpgzGYzeXl5IYNZtWrYp8vhooVxPx+ISoxIkvRXwD8CbwHVsiz3xaVVglkRanD5VssMZKar6VgM1lAG1mKxsH//fiYnJ+no6KC+vp5169ZF/fvTEckkqQXDpOWVZSBKLENLSwujo6PY7XbOnz9PYWHhlKPcsyGauJ5Y/L5WUO5Tr9eza9cujhw5wtjYGJmZmQwODvpt00iShCRJDA8Pk56ezokTJ9QjvrO9dnV1NR0dHQDU1tb6eUYC5wKtGvbpcrgke9zPF6I52nsAqAP+Wpbl/xu/JglmS7jBFetqmbMdrJEY2ImJCcbGxhgYGJhVW5XrRbNN5EuyDZNWV5aB+FZ7bmxs5IUXXqCgoIDTp09TW1s75Sh3LK+bKmJtNvjep06no6enh6VLl/Lxxx+zcOFC8vLy1EzAaWlp5OTksGLFCi5evMi6devo7++f8fMPfMbbt29XK2grFXnDLXi0aNinG//JHvfxQIse1mg8I+nAzbIsd8WrMYLYEGpwxcuYhRqskXT4wGysFotF9X7U1NSwfv16Dhw4QFZWFocOHWLNmjVh2xzumuHSkGtxkgxESRanbFtpYWUZ+LwDU+k/+OCDdHZ20tfXp67a41UIL1XE2mzxvU+r1UpJSYlamffBBx/k5Zdf5v333weueUUyMjKw2WwsWLAAr9c7qzidwMDks2fP4vF4qKurU99/uAWPFg17qoz/WKFV0R7NaZoN8WyIIHbMJFA01kTa4UNlY1UmrS1btqi/Md2KerprTueO1cKATCWCPW/fVPonTpzg/fffZ2BggMLCQpYuXcrDDz/Mxo0b4/KsE9G/tbCi9L3PlStXsnnzZn74wx/idrv513/9Vzo6OtScI4sXL2Z8fJxPf/rTyLLM17/+9Vk9f9/A5EWLFvHkk09y9epVysrKePHFF3G5XCkpCOfT+NeqaBfp4FOQmab7TuQKINIObzBcSx0fKhtrTU0Nq1atCmtglOfhdrvDXlOre9aR0t7uXyww2ZNIsHdcUVFBZmYmFy9epKCggL6+PjIyMrh69Sp33HHHjAxhpAIgXCD0TPp8KK9PsleUvvep1+t58sknOXLkCMPDw2qukaKiIkZGRvB4PCxcuBBZlrnllltmLQR9A5NbW1vp7Oxk6dKldHV10djYyMaNG1N6jM0HtDoPCjGSYsx2QkzUCiCaDh9OcEwnoAKzuioJ1ULt/SbSHRvrVbTWJpFg7XE6nXz88ccMDw8zMDDA+Pi1w3Y5OTk8+OCDcYkp8iVYQOtMxksor49WVpTKfb733nscP34cj8fD+Pg4GRkZapzIggULyMvLIysriwcffJC7776b9vZ29fszQa/XU1hYiN1u57bbbgOgp6eHsrIydatmPm15pCJafUdCjKQY8U5QFisDGk2Hn+6z4QRUqKyuoa45WzEW6fOJxypaa5NIsPYcPHiQq1evUlJSwqVLlwBIT09ncnKSjz76iPvuuy+qa4SLKYrm+9GOl1BeHy2JQYWJiQnS09MZHx9nYmKCvLw81q1bx1tvvUVWVhaZmZmUlJQEzXIcDUqftlgsmEwmHn/8cVwuF7///e+59957MZlMwPza8khVtPiOhBhJMeKZoCyZbuiZDo5QWV3jQTTPJ9HBwrEkmOAKtmWh/LdyRNdqtWK1WsnMzKS7u1v9vYmJCQoLC7n33nujbkuomCKILAX5TMdLsO9pTQzCNa/ipk2beO2113A6nRQVFSHLMvv372dkZIS8vDxWrVoFMOv+ePToUbXS8sWLF3n77bd5//33sdvtOBwOzTyTcGgh5kcQHCFGUozZTIjTGchIDWgkAzoWwibS2BitxcGA9rZUIkFJ7b1v3z6/LJqA37vcunXrlFV2e3s7W7Zsob29XU24pdPpWLBgATqdjqeffnpGeUWCxRRZLJaIj6jPtH+E+p7WVpQGg4Gnn36a+++/n4aGBtrb2zlz5gxer5eMjAyGh4e5fPkyr7/+OllZWVit1hmfpunp6cHr9ZKens7Y2Bj/+q//Snt7OyUlJQBJj2GaDq3E/AiCI8RIChIrL8JMkhIFHt3csWOH6p71JRLDPZNjuMEI9TySGbOhxVV0OJTn3dTUREdHB+vXr1ffG/ivqhsbG/22To4ePaqKk8nJSSYnJ8nOzmZiYoIFCxbwwAMPsHHjxhm3LTCmKLA9M8n6GwlaEx6hMBgM3Hfffdx000386Ec/4tSpU4yNjTEyMkJOTg5ut5u33nqLsrIyTCYTW7dundF93X333VRVVdHZ2cmiRYtYuHAhJSUl9PT0UFNTo3nBraWYH8FUhBiZB/ga5UADGWiwpzOgvkc3m5qagGupvQM/G8xw+14LCCtqYhEbk+yYjVQxZvDH511ZWUlHRwdtbW2sWrVKfVe+77KqqoqsrCz+8Ic/kJaWxi9/+UtcLhe5ubk4nU4yMzNZvHgxt99+Ow8//PC0uWGmI/C5B7Yn3kYwFVz7DoeD3bt385vf/Ibh4WHgWqxOSUkJV65cUROf9ff3qwnRosVkMvHrX/+axsZGqqqqeOmll2hpaaGmpoYdO3Zo9tkopKK3cj4hxMgcJ5hRVtzl4ZKAhaKiooLCwkK1AJrdbleFQjhhA/6u/s2bN4cVNbOdOFI5ZiMZ+D7vTZs2UV9fT3l5+RQRq9fr2bNnDzabjbGxMe6++256enqw2+1kZGRQWlrKtm3bWLNmTUzjdwKfe6K8Tqni2m9vv1YnBq5lXYVrJ5iWLFlCXl4eCxYsoLu7e0ZbNL7j2mQyqYuGiooKTYu0wPko2GIiFYTmfEGIkTlOKKPscDg4ePAgLS0tmEymiLdSDAYDO3bsAPCrujqdsDGbzX7tAEKKGpj9NodYBUXHdOJREbFms5mWlhaKi4vp6OjAYrGwaNEiioqKmJiYwOl00traOuOtgGjamwjjEY2oTaZhq6iooLq6mtbWVmRZRpZlsrOzMRgMtLa2Mj4+zh133BH1ewknxrQszMPNR75B2akgNOcLQozMcUJtlyhbJL29vQBBV0yhBqvJZJpSdTVQbEyXcExx7QIhS8kHTnZWq5XGxka1BHo4Ui1mQwuEE4/K+1QycHZ0dDA2NobH46Gvr48FCxbQ39+P0WicIixTmUhFbbINm8FgYPv27Zw4cYLu7m50Oh1wTUw5HA68Xi8nTpygs7Nz2rHjS6rGWUTS7lS9t7mKECNznGBGWTE0yqS0ZcuWoJkZww3WQKEw3aQdrB0GgyHiUvJWq5WvfvWrdHV1qamnIxEkvqugWAmT+eDaDfU+Ozs7ycnJ4cYbb+TDDz8EYGxsjNHRUTIzM/F4PJhMpoR7ouL1TiIVtVowbC6Xi/z8fIqKinC5XJhMJm644QY6OzvJzMwkMzMz6t8M7Ad6vR6z2az5vh+JiBTeU20hxMg8IJxwWLlyZcgU0dGsCtvbr1VpdblcUSUci1QwNDY20tXVRXFxsZp6OtIVXixXrcleAceaUM9cMcK+FVgdDgf79u2ju7uboaEhsrOzkWWZsbEx8vLy+NznPkdXV9esytPP9B7i+U4i2Y7QgmGrqKjglltuUf/74YcfpqqqitzcXC5fvkxtba2aoyVSfMWYEi+UCn0/EhGpFe/pfFjcRIIQI/OQSAdhJJ+LlSGY7nfq6uooKytTPSN1dXVBfyNYW2O5atXCCjhWBD7zYGLSN5/H2rVrMZvNrFixgqtXr7J06VL6+vooLi6mqKiI/v5+Vq1aFbXBmy1aeCdaMGwGg4GHHnqI7OxsOjo6ePnllzEajdxzzz10dHTwpS99aVbt6uzsTPpzjoZIRGSy417m2uJmNggxMk+JdBBO97lYGYLpfsdkMvHiiy+GjBkJl/8kVqtWh8OB2+0OW/8mlfB95i0tLezatQuPxxO0FktLSwttbW1qQq2qqiqefPJJAPUZJDN4M9leCUi+YbNarTz66KNYrVbGxsZYvXo1r7zyCs8//zyTk5O88cYb/PrXv44qZiSa2k+C6NGCkNYKQowkgbnklvM1BEajEbfbjcPhCHtfwe4/EoPie6wwEIvFwvHjx3E6nVOOCsdi1Ro4KW/btk09uqq19xlpe3yfeWFhIb29vRgMBlpaWlS3vE6nw2q1UlhYiNVqpaCggPHxcbKzs2ltbfXb4kvWvUfzfrX2rmLJ22+/zcWLFzEYDFitVj744AM1CV1mZiadnZ1RbW9C9LWfBNERat6by/00FCknRiRJ+i/Ad4AS4DSwTZblxjCf/zPgH4DlwAXgcVmW30xAU4My19xyvrEF+/bt47nnngt7X1arlV27dqknaHyP3EWyJRTs35VYhkuXLtHf309lZaV6ogP+uGKfSTpyhcBJOT8/XxUi8Xifsyl7P93Wi+/vb926lbNnz9LY2MjRo0cZGBhg2bJlAGpRtOXLl7N9+3b27t1LV1cXAIODgzQ0NHDq1Km49eFIauQoROKVCNX3IrmuVlFS+A8MDPD+++8zPj5OV1cXCxYsYM2aNXz00Uc4HA4mJiYoLy8Pur0ZjmCn4LT+TFKJYPPeXLMRkZJSYkSSpK8AzwKPAh8C3wJ+L0lSlSzLV4J8fg3wIvAE8DtgC/CqJEmflmX5o4Q13Ie56JYzGAzk5+djs9mmTf++a9cuDh06FLSeRTiDEm6Atre3Y7PZWL9+PYcPH6agoICVK1ei1+tjNqhDrWDi8T5nMxmF2noxGo1s2LCBvLw8ysvLeeaZZzh58iTFxcV0dnZy8eJFvF6vOiG+9957fkXR/uzP/owNGzZgs9mwWq24XC5KS0tj3ocVIaAES/puuxUUFERUiiDU74bre76fSxVD4HA4eOqpp9i/f796munzn/8858+fZ/ny5QwODpKXl8eSJUsoLi7m6aefjsorAtqIhZnrBM57c9FGREJKiRHg28C/yLL8PIAkSY8C9wF/Dnw/yOe3AwdkWf7BJ//995IkbQD+mmuCJuFoZX871kRyX+3t7djt9hnVswgcoBaLRXUX+177i1/8IvX19dTU1MR0UIealKdLez+b+Bml9ovFYmHdunURfTdwa8Vut1NaWsrvfvc7Xn31VbKzs1mxYgXvvPMOQ0NDyLJMeno6WVlZeL1e9f1IkuRXFO2FF17A6/XS0dHBmjVrOHr06JSU8TMhWImAtrY2dDodPT099PX1qdtujzzyiF/W3rGxMbZs2UJeXl7QFbvvb0fa91LJEChZV71eL+Pj40xOTtLX18ddd93FnXfeyfPPP4/dbgdAkqQkt1YQKXPVRkxHyogRSZKygFXA08rfZFmelCTpLeDOEF+7k2ueFF9+D3wxzHWygWyfP+XNpL2hmKsrjUjuq6KigpUrVwJEXc8iMDYlsLJsqGsbjUaam5uprq6e9aAOdTR5usyloYykXq8PuoVSUVGB0Wjkd7/7HV6vl4aGhojc4w6Hgz179mC32yksLGT79u289NJLNDU14fV6kSSJoaEhzp07x+joqJqpMy0tjYmJCXJzc7n77rvVZHQvvPCCWhRNlmW1bk1XV5eaMn42bvtAL8TmzZvV92u1WsnMzKSnp0fN0At/zNpbXFzMsWPH+OCDD8jOzmbTpk3s3LnTbzsncLtq5cqVjI2NsXTpUrZv3x6yj8ayz8QTZUwo77eyspKHHnqIP/zhD/z0pz+lo6OD8fFxNeMxEHWOkER7ilJpiyxezFUbMR0pI0aARUA60Bvw915gRYjvlIT4fEmY6zwB7JxJAyMl2VH38WK6+5rNIPP9rtvt5rnnnvNbvdbW1iY1gFK59nSZaAOz3y5ZsmRK/ILBYGDDhg28+uqrpKenc/jw4Yi8I8qq3mQyYbPZgGs1XJSqukeOHGF8fJyCggKWLVvGxYsXkSSJiooKHn74YWpqavyK2v385z/nlVdeYdmyZVgsFmw2W0xESGB7fUsE+Oa/eeihh9i9e7ca4+GbtddqtWK320lPT2dycpLm5ma/Zx342y6Xi61bt6oxIy+99NKMJvpo4ljijcFgYMuWLZw7d478/Hz6+/t56aWXOHPmDIsXL2ZsbIzBwUGys7MZGhrif//v/62KlulyAikk0lOklS0yLQiiuWojwpFKYiRRPI2/NyUP6EpSW+YcvsbC978j/a4S4BWJG1OJJamursZms/lNpLHOyKokBysvLw/bNmVy1+l0NDU1qZ8NnOTz8vLIzs5mcnIy4naEcu8eOnSIy5cvk5uby6c//WkkSWLNmjX84z/+o5q0bM2aNX5ix+FwsHfvXvbv3w/A+vXr/U4QxYJgwZHK9pryXgIz9Cp/O3r0KM8//zynT58mLS1tihcj2LNob29XM8SGSxEeqs8EC4CF6T1h8aSmpoYVK1awf/9+xsfH8Xg8SJKE1WplxYoVao2ayclJNfFZsGPcodqcyC0DLWyRaUUQzUdSSYxcBSaAJQF/XwL0hPhOT5SfR5blUWBU+W+x1xpbphvskYiE6TwsvtsgoY7NxTIjqxJECLBp0ya2b98e8gSLkqfEarVSVlaGx+MJWpenpqaGTZs2qdsFkSQSC/Zc3nvvPfbv34/X62VoaAi3283q1atZvnw54+PjjI2NMTExwcDAgN9vKfEIihhqa2tTTxDFimBbXIHvNNQK8ciRI3i9Xm6//Xa+9rWv+Xl0fH/bN4OsXq8nKysLs9lMbW1tVCnCQwXAAkk3oAMDA4yMjJCbm4vdbkev1zM0NMTo6CjFxcUUFBSwYsUKcnJysNlsaixRMFEWSaXbeKGFWAktCKL5SsqIEVmWxyRJagLuAV4FkCQp7ZP//nGIrx375N9/5PO3DZ/8XZAEwg32aERCKCMVmA9kw4YNbN682W9F397eTktLCzqdTs2pEUk8RrA4j0Cj3dzcTGdnJ/n5+TidzqCxJEajkb/927+lvLw8pKvcYDCwc+dOv+9Hst8f+FwGBgYYHh5mcnKSgoIC/tN/+k/U19djsVgoKipidHSU7Oxs8vL8Q6MqKq5Vge3o6AAIGz8xGy+Tr7cr8N1D8ERqgdtRRqMx5HWVDLJGo5GRkRGOHTvGyMhIyFMlvsZXr9f7HQ8PFQCbKAMaGOyrbFl6PB6WLl3K+fPn1cBjWZbp7e1lwYIFbNu2jfr6evU7gWndpxPpidoy0EKshBYE0XwlZcTIJzwLvCBJ0kmgkWtHe3MB5XTN/wVssiw/8cnndwPvSpL0t8AbwEPAbcA3EtzueY3vJBpusMdiVeJ7EmX//v00NzdPSVGuVJ5tamqirKwMvV4/bfsD4zxMJhP19fWUl5dTXV2N1WrF6/VSVlbGvn37sFqtahKxkpISHnzwwSl5ShSD6HA4MJvNU4RONIY6VCzD66+/jtvtZmxsjBtvvJG7774bg8FATU0N9913X0jPiyKGFCMWansmVl6mYKelfFPR+/5uJIn2HA4HBw8e5PTp0xQWFmI2m/F4PNjtdsbHx3n77bdDxuEovxMsAFZ5Fr7B16EMaKy3An3FLKAKMZPJRH9/P+np6apXZGRkhKGhITIzM9HpdH6eplBt1oJXINmxEloQRPOVlBIjsiz/myRJxcAurgWhmoHPy7KsBKkuAyZ9Pn9UkqQtwHeB/8W1pGdfTFaOkflIMGMVarDPdlXiuw3S3NwM/HHV6juxulwulixZQmVlJR6PB5fLFfZ3A+M8ysrK/ITOww8/TF9fHzabjbGxMaxWKzqdjhMnTuB2u7FYLIyOjk5Jpa0YzJ///Oe43W4mJiYoLi6mpKTEL4dGOEOteH8OHTqk/rYSnOh2uzl37hy5ubnodDoKCgrUew30vASbdA0GQ8RBs7M1YIHvHgh5vNl3CyZYoj2lz505c4bTp08DsHTpUoxGI62trRFVsA0WABuq3wYzoLGOPfBtj9K3FRH8wAMPUFpaSnt7O2lpaciyrHrqJiYmuHJlSgqmoG0WXoFrJFsQzVdSSowAyLL8Y0Jsy8iy/Nkgf/s18Os4N0sQgmDGKtTJl9msSgJXjt/61rf8DHRgcOPKlStVV/90KeyV3B29vb2UlZVx9epVAMrKymhqauKGG25gbGyM2tpaPvroIzweDxcvXiQvLw+n08nSpUsZHBxkw4YNeDweNQvmE088wS9/+UsGBwdJT08nIyODJUuWqAZUSWcPMDo6Smtrq1qV1df7c/z4cRwOB+vXr/cLTiwqKsLpdOJ2u8nIyGDRokV+XqBYTLqxMmDB4keMRqMai7Nv3z7Ve6N8JlSiPWUbbmxsjLGxMT71qU8BsGXLFnQ6HTabbdoKtsHuK5LnpXhD3G53TL0Mvu2prq4GUL1vL7/8Mn19faSnp+NwOMjKygJQc8gsXrw4omto2SughRMugviScmJEkFpEa6yimfBDuZgVAxVu5b9582YGBgY4dOiQekw42JFV5QRFT08PBoOBr3/96+h0Ol5++WXefvttMjMzOXHihLrqPnPmDHa7HUmSMJlMrFmzhsHBQXQ6Ha+//jrd3d0cOHCABx98ELPZzPj4OLIsq/+/u7sbg8FAb28v7e3tOJ1OHn30UTo6OigqKuLpp5/2yy8xOTnJkiVL6O/vp62tjbKyMjXRmdlsRqfTcffdd3Pq1CmuXr3Knj17YnpCIF4GzGAwUF9fj9lspri4GKvVOmXrZuvWrUH7ll6vx2az0dLSgtfr5d///d8pKCjg8OHDfOc736G1tZW6urqwWyqhYkfC3Z/vdl5ubi5FRUUxKyoXTKwdPHiQhoYGdDodFouFFStWcObMGW666SZOnDhBTk6OKqQjzS+iFa9AqGR44oTL3EWIEUHEzGR1EmtjFcr97Zt5VDmdMp37XKfTqYbbd9vF192vnKBYtGgR586d4+LFi6xcuZLOzk6GhoYwGo20t7fz4IMPotfrOX78uHoC68qVKyxdupQLFy7Q3t5Ob28vOTk5HD9+nP7+fhYvXqxmPs3MzKSgoID8/HxcLheZmZno9XoaGxu5dOkS2dnZ9PX10draSm1trZo/ZOfOnTQ1NVFSUsJf/uVfqqLnrbfeYnR0lKKiImRZVsVRPGIBYmHAAqsub9++nYGBATweDx9//DFlZWUMDAz4bd10dnYG7Vsul4vs7GzS0tKQJEnNtXHw4EHcbjder9evpk64wE2I3BAqHhmbzcbly5e55ZZb+Ou//uspJ31mSuBz3rhxI6dOnaKlpYWysjKysrK47rrrWLBgAStXrkSn07FixQo/D2EqGPJwyfDECZf4oAXPkxAjgoiYzR54LFdbwbZ9AL/Mo1u3bg1rMHyzfBYWFk5JuOXr7ldOULS3t6tZS8+ePUtmZibp6el0dXUxPDzMv/7rv7Jo0SIWL17MwMAAkiSRkZHBb37zG9xuN8uXL2d4eBibzUZGRgaHDx+murqaNWvW0NfXp7avoKCArKwsnE4n27dv5wtf+AIej4e+vj4WLFiATqfjvffeY2BggJ6eHoqLi6mqqsJut3PgwAE8Hg9jY2N4PB6ys7Nxu90sWrSIrKwsjh49yqZNmzQVC+C7raEY8hMnTnDy5Eny8/Pp7e1Vc6Pk5eVRVFTEgQMHyMzMVLduAgsgVlRUsHz5cs6cOUNGRgZer5eBgQHGxsZob2/n9ttv93vPFotFzfnS0tLCwYMHqaurU+NuTp8+jSRJnD59OqwhrKiooLCwkBMnTjA5Ocnp06d5+eWXWbNmTVyeXaD3xuVyTfn/wRIEat2Qh0uGN59jWeKFVnKrCDGSBJKtQqdLRx6M6QIV431P4XKHBB71DAxIDXWaZ+XKlWzdupXOzk4aGhrU/XhlsvNNX7948WLOnTuH1+tlcnISg8FAT08P2dnZ9PT00Nvby/j4OKWlpaxcuZKFCxcyMTFBd3c36enpXLlyhZqaGj766CNcLhdjY2P09vZy6dIlJiYmKCsrIzc3lz/5kz/hgw8+UD9nNpvJycnBYDDg8Xj40Y9+xKVLl+jr62PhwoWqd0VJmV5aWsqbb76J2+1WT1eMj49zzz330NbWRn19fchTMdO9v1i/48A4H51Ox+XLl8nJyaG3t5exsTGcTidnzpzhi1/8IuXl5epR5by8PMxmMxaLZUqiNIPBwHe/+13g2lHrS5cuodPpyMrKoqKiYkoQcUNDAxcuXKCtrY3CwkJeeOEF/umf/oklS5ZQWFjIqVOncLlcGAwG3G53yC0Pg8HAjh07sNvtnDhxgqVLl2K32/3qKEX63CJ91tMJ/UgTBGqJSJLhCWKHFk5RgRAjCSfZKjSSdOTBCBf7Ee97ClZnRFn9KZ6RwC2aYN9V4kIUAQLXPBEFBQXk5ORMuWZ7ezsPPfQQra2tlJaWsmfPHtrb21myZAnZ2dl4vV5WrlzJe++9hyzLZGRkcPXqVT73uc/h8Xjo6OhQRcHatWv5m7/5G775zW9it9vJyMigu7sbSZLIzs7m3LlzFBcX09vbiyRJOBwO8vPzGR0dJTc3l6tXr5Kens7Zs2eZnJxkcHCQkZERAL7whS/wpS99Sa1Dk5GRQW5uLm63m9zcXFasWEF/f/+UI87RvL94vOPAOJ8HH3yQM2fO0Nvby+joKFeuXGH58uXk5+dTU1NDZ2cnHo9HrRY8MDDA888/z8DAAFevXqW2tlatT1NQUMDWrVsZGBjg9ddfV4VmYEK69957j8OHD5OWlsbw8LAq/M6cOaN6SiYmJli2bBkul4sf/vCHZGdnh3wGJpOJH/3oR2qmVpPJNKWOUiQxUTN51sEEzGyDwpMhAEK1WYiQ+KCVU1RCjCSYZKvQwGOqwY6+Rjupxfuegh2zrKio8BNVBsO1fB6BWzTB8o74nkYoLCzkwQcf9EsBrgRK+v62ctrmhhtuYPv27dhsNhoaGrDb7VRWVnLlyhWGh4eRZRmz2UxdXR1er5elS5cyNDTE3/zN3wDX0rwvXLiQwcFBMjIyyMnJweVykZaWhk6no6OjgwULFpCTk8Pw8DDXX389er1ejTGZnJzE4/EwMTGBLMvY7XY1PkQRWXv27OHw4cNcf/31LFu2jC1btpCfnx8yEDOS9xePdxw4CZaWlrJkyRLcbjcDAwOkp6erYu4Xv/gFK1asoLS0FJvNhsFg4LbbbmP//v243W6ys7Pp6upSg5B9Bej999/vV9lX6d++pKenk5ubS0VFBR6PR82OW1tby/j4uLol5vV6ue6669Qj1sE8HiaTSU1jH802yWxO4gTG3PgeDff1nkQqMJK9aNJKIO18QCunqIQYSTDJVqHK9ZWgt8B05OEmoVATRDzuabpEacFEVbCcIb4nT+Da3rNSdt3j8ail6H1zgAB+v11YWEhXV5d6DbfbrQYFFhcXc9ttt2GxWOjt7WXt2rX09fXxwAMP8E//9E90dXVRVlZGfn4+e/fupb39Wn2UrKws0tPT8Xq9ZGVlkZmZSX9/PzfccAMA9fX1tLS0cO+99/J//s//YXR0lI6ODjZt2sSdd97Jj3/8Y8bGxhgaGmLp0qWqSFu3bh3l5eV+NVQUb0io9xrJ+4vHOw6cBJ1OJ729vfT09CDLMkVFReTk5NDT04PT6eTjjz+msrKS7Oxs8vPzef/993E6nWp9Ha/XC4RPfBfMy7Z+/Xo1Rfzjjz/uF3OhtKuxsZGqqipeeuklVSiE83goY0XZJlFEgu/R6lAnRoxG45ScNNPhGzyr9HXfo+HK9aIJxtWC616rJHurPdZoQfwJMZJgkq1CgwW9RZKFMdzgi+aeIo1NiCRRWjBRpdfree+994A/Zg1VTp7s3buXc+fOYTKZ6Onp4fz58yxduhSPx8PWrVvVVS5AUVERx48fJzc3l7GxMb9rdHd388orr5Cens6lS5dYvnw5t912G2+99RYXL15k9erV6iq/vLycvr4+mpqaaG1tZWRkhImJCbV67sDAgHqsd+3atWzZsoVjx45hs9n47Gc/y6JFixgfH2fhwoV4vV4+97nP8R//43+kp6dHzSo6NjbmJyh9V+aKNyTcajuS9xevfus7Cba3t1NSUoLNZsPtduNyucjJyWFgYACHw8HExAT9/f1UVlbicDgYGRlhwYIFjI6OotfrufvuuwHUuCJfAeob7Oz7HDo7O8nJySEvL4+cnBwKCgqmpIo3GAzq3xQhHOjxCOUlMRgMftWClaPVQMgTIzabjW3btoWMMwk2hpTg2aamJr+j0L5J66IRGMleNGmZZHuN5ipCjCSBZKvQcNcPNglFMvgiuadIB3EkidICRVVnZycDAwM888wzHD58GLhWtG7nzp3Atcq1ZrOZ0dFRnE4nixYtoqioiOLiYlauXEl5eTmdnZ2qUTl+/Djnz58nMzOTm2++mR/+8IfqtZ944gn6+/vJzMzEYDCox351Op0ae1JeXo7JZFKTdp04cQJZltW4hImJCfLy8hgfH2fJkiU4HA4mJyd5+eWXMRqNaoVcp9PJCy+8QGdnJzfccAN/+qd/isHwx+ypoYKQlf8d6Wo7Eld+PPutkj138eLF5OTkUFxczIIFC8jNzSUjI4O2tjZycnJIT0/n8uXLLFy4kKysLNxuN0uXLuVb3/oW7733Hjt27KC2tpaHH34Yo9HIu+++S3d3t59YC8z0GlilF4LXxPF9Br6BodN5SVwu15RqweAvigLbFW36fSV4dmxsjMbGRoaGhqYkigtVODIYyV40aRnhNYoPQowI/AichOBacqWWlpZZ56mIZBD7pnSfzk3taxj27NlDU1MTFy5cIC0tjfT0dJqbm9WJX0mhrSQWu/766xkZGaGuro4vfelL7N69m/379zM5OcnixYvp6uoiMzOT8fFxzp07h9vtpqamhm9/+9ucPn2ahQsXIssyn/70p1m0aBGXLl3i6tWrarKxzs5O6uvraW5uprKykv7+fh555BFsNhu9vb3qNsTAwIC61SJJkl/tGuX+fv3rX9PY2EhdXV3QOIBInvd0q23f55/IVZ/D4VDTuttsNoqKili/fr1qvAFaW1vVANOMjAxuueUWJEnigw8+UGNN3nzzTT744ANVuBw7dkzNSnr77bf7xRIF9m9fA63X63nqqafU2CIlIDYQxePR2NiITqdj7969Ift1KC/DTE6M+L5T5Rjyxo0bVe/N1q1buXLlCpWVlX7xT77bUkrw9nQke9GkVbTsNUrl7SMhRgRT8DXyvkGiQNBy95Ey3SAOPPmieAdCrRCVQadM0JWVlVy6dElNIuZ7TFepQJuTk0NRURH//u//jsPhoKOjg+bmZq5evYrX68XhcNDf369WPx0fH8ftdrNv3z4ANRNrf38/d9xxB3/2Z3/GT3/6UwYHB+nt7aW3txedTkdDQwOPP/44q1atUtu2ceNG6urq+NWvfsU777xDVVUVer2ez372s9x7771qPELgszGZTCGrzEbzvEM9S18SuepT3ndTUxMdHR2sX7+e/v5+P9GktEnxfsE1r5OS62VwcJDCwkLOnz+vCpaBgQH1SPWSJUu4ePEinZ2dQZ+hr6ioq6ujs7NTFaWXLl2ipqaGu+++e4r3SRHAkXqdgnkZZnJixDfmq7e3l4aGBr8EbjU1NaxatUqNUVESxfluS4UqQCiIjHh4jWIhIlJ9+0iIEUFQlCJuikcErtX2UFZhM2G6QRy4kle8A0p7fFezTzzxhF/QoWJ077vvPjZs2KCenlB+d/v27WoF2oGBAXbu3El/fz92u53GxkbuuOMO2traGB0d5brrrqOoqAiXy0VnZycGgwGr1arGLvT396PT6fjGN77BoUOHuHTpEleuXCE7O5uJiQlyc3PVgNLA+zUYDHzjG9/A4XDQ1tbGLbfcwje+8Q0MBoMqrGI1wc1k0kzkqk8JuiwoKODSpUu0tbWpgabBtpxMJlPQo9pKwO6ZM2eYmJhgcnKS9PR0xsbG6O/vJysrS92ycDqdfsG9W7duVUXFqVOnuPXWWxkdHQXA7Xbzr//6r/zLv/zLlCPw0XqdgnkZItkaC/Y7jz/+uJoKPtBbGRijcujQoaDB2WKLYXbE0msUr8rXqfZuhRgRTCGURyRaIRLqiHC0QXNKfRjFgNx666386le/YmxsjPPnz3P//fcHNboOhyOoy93hcGAymTh79ixZWVlkZWXx4IMPAvDhhx+qFXaVeIWenh5uvfVW8vLyMBgMqij553/+Z8bGxrjlllvUYMmhoSGysrIoLi5Gr9eHNEKhVsWxnjyi/c1Exgro9Xp6e3vp6uqipKSEb33rW2rqdGX7BvATJxaLhePHj7No0SKsVisAnZ2d9Pf3Mz4+Tnp6OhMTE6Snp5OVlcWyZcvU6rYWi4Xnn3+eQ4cOUVJSAkBjY6M6gZ85cwaz2UxaWhojIyMUFBSwdOlSjh07NuUIfCRep+kEhm8iP0UQRWKMDAaDmgo+mGh0uVzY7XY1987f/u3f+nmatLrFMF+JlYjQ8vZRJAgxIpiCb0ZTmJlHZCZqP5gh9K0PoxgQJeGYcjT24sWLGI3GKZO+xWJRXe4dHR3U19erpwuKiopYtGgRsizzuc99Dp1Oh9Pp5J577qGrq4uvfe1rHDlyhJaWFmpqatixYwcFBQWUlJRgsVjU/CE9PT04HA5KSkr4zne+A8Bvf/tbBgcHwxalS9Z+fCQr8ES1zeVysWTJEiorK7Hb7Xg8HrWNTz31lBr8qwQiO51OnnvuOU6fPs34+DiVlZU0NDRw7tw5zp07R2ZmpuqZKi8v56abbqKlpYWjR4+ybNkyBgYG1PT+PT091NTUUFdXx6lTpzhz5gznz5/H4/FQUlLC0qVLWbZsGYODg+pJqsAKz+FEW6hEfb79OrBGUjQxWcr1FcHmiyLympqaKCsrU4OpFURgqraIlYhI9aBjIUbmGZEYI9/BMROPCMxc7Qcawvb29ikG5Etf+hJvvPEGnZ2dlJaW0tzczHvvvRex6Glvb6e/v189Tnn//fdz6NAhOjo61Fwea9asYc2aNVOe1Y4dOwDUOjgZGRncfPPNeDweqqqqAPB6vXErSjcbtLanXFFxLd1+S0uLmpb91KlTbN68GbPZrCaRO3jwIKWlpZw5c4Z3330XWZbR6/VkZGTw0Ucf0dfXx8DAAGlpaRQWFrJ27VpWr17Ne++9h8PhIC8vj4yMDDweD7m5uWRnZ7N69WoefPBBNVPr9u3bVTF05coVbr31Vnbs2KHmHOns7GTfvn0899xzU06xBCMw0HTXrl14PB71u77/brVa0el0qgcvGmMULP7DV+QFy70jAlO1RSxFRCq/WyFG5hGRGqNYDI5YqX3FYA0ODpKbm8sjjzxCbW0tP//5z/n973/P8uXL1eOwgca/pqbGL6GVEkPi27ZVq1aRl5eHzWZj/fr1tLX5128JvPfAHB6Kez3U0VEtuUq1tqccLP6hpaWFpUuX4nQ66e/vZ2RkhLS0NL73ve9hMFw7Rq2ckCouLubs2bP09vaycOFCrrvuOr7+9a/T1tbG66+/rmbYbW9vZ3BwkJ07dzIyMsL4+DhXr17lxz/+MUeOHGHz5s1IkkRZWRkdHR0YjUYeeeQRCgoKcLlc6v+32Wx+eUUUysvLpwS4+vaxwsLCKZ4P3383mUyMjIxw5cqVqJ5fqPepjJnAfinQLqksImKFECNJJpFHsaIxRrMdHJEImkju3el0YjAY6Orqwu1289hjj/Gzn/1MPXlitVrJysoKWpcG8EtoFaptgJ84CVa/JfDewp2I0KqrVGt7ysr7r6ur49ixY5w8eZK+vj7Onz9PX1+fWi1ZqbyrJHjLzc0lPT2dpqYmBgYGkGWZgYEB9X+3traqmU6VWjPp6em0tbWRkZFBWlqaavizsrJYu3YthYWFajZXm83Gt7/9bW677TY1ydrWrVv98oo0NDRw+PBhJicn0ev1GI1GvwBX3z4WGBOi9Avl35UEapHmOlEI9T5jNfYEgkQixEgSSbTbPNHGKJygieTerVYrX/3qV9W9/Ouvv56uri5+//vf09Z2Ld33W2+9RUFBATfeeGPQujSBCa1CBYvOVEBMd0pCS2hpT9k3SDo3Nxev10tLSwsul4uJiQkA+vv7AZicnFRzx3g8HhYuXIjNZiMjI4PJyUnGx8fJysqip6eHX/7yl+oR4MWLF/Pggw9y7Ngx3nrrLSYnJ9XigllZWdhsNmpqajh06BB2ux1JkkhPT6e0tJTOzk4yMjJYvXr1lJNRbrebf/iHf1B/z+12U1VVFTSzbTiBqvx7YGVdvV4/aw9mJGMvWB0bQWwRoi9yhBhJIol2m2vJGFkslpCF+hQaGxvVkxYff/wxPT093Hjjjdx77704HA6OHz+O3W5ncnKSpqamKbkkohFfWhUQsUYr96kc61VE4vDwMGNjY6oQ8SUrK4vs7GyWLVtGS0sLY2NjSJJEZmYmXq+XtLQ0NbutJEkMDw9z0003ceXKFf7whz+g1+vJy8tDlmVkWWZycpKioiKysrL4zGc+w1tvvYVOp2NoaIji4mL6+vooLS2lrKwMq9WqBq4C1NbW4nA4/PLWLFmyZEqNp0DCPffAcRlLD2YwY+j77EPVsYkULRpbrbRJazFaWkeIkSSSDLf5TIxRYI6PWCTn2bdvn1/AaLB7r6urU/fxTSYTjzzyCF/5ylcwmUxUVFSwb98+vv/974e8jpbEl8Af31oqhYWFdHZ2Isty0M8quUOU7Qu4dmKktLSUoqIiLly4oIqZ5uZmRkZGMJvNLFq0iMrKSrq7u1m7di0nTpwgLS2N/Px8CgoKqK2tZe3atfzyl79UT5785Cc/4cKFC5w4cYLu7m50Oh0jIyNTAld37typ5q0JFjMSLYHjMhbzQihj6PvsS0pKsNvtM1oIadHYaqlNWovR0jpCjCSRVDCWgUmmgJA1OCJF2T4JFjDqi8lk4mc/+xk7d+7E6/XidDopKCgArj27+vp6LBaLegohWKyHVjwBAn8MBoN6Mqmnp4f09HR6enqYmJhgZGQEWZYZHx9HkiTS0tLIysoiLy+PyclJNcA1OztbLZQ3ODhIZmYmkiSRm5vL4OAgkiTR3n6t+N727dtxu90MDAyobcjLy8PtdvudPMnPz2fVqlUcOHAAk8lEc3Ozml69qalJLT5nMBj8itDF+tlEOy+E8oD4GkPfYn6+p8JmGuSqRWOrpTZpLUZL6wgxkmS0bix9B7dS36W6ujpmyXl8A0aVCRWu1SOpq6sDrrnpgx2VVVaoWhZzgtAoJ5MsFgvd3d389re/VQXnLbfcoqbgt1qtLFq0iKtXrzI0NMT58+cB1Do0w8PDFBYWqmn8x8bGyMrKYnh4GK/Xi91u56WXXlKzrSpbFDqdjhUrVmAymbDZbEFPRFVXVzMyMqIWX2xoaACIKLV+NASKiWjmhXAekHDF/JRTYck+MRdLtNSmVFhsagkhRgRh8R3c1dXVANMWsJuOYINUmVBPnjzJ6dOnSU9Pp6ysjG9+85thT8toXcwJpkfJlWE0Gnn00UdVcdrd3Y3ZbGbZsmUUFBSwYMECOjo6yMvLo6Ojg66uLvLz85mcnFSLD2ZnZwPXCiK6XC7Onz/P5s2baWlp4Ve/+hUtLS0AnD17FoPBQHd3N88++yx5eXnAtdNbLpfLL0mZxWKhra2N4uJi3njjDU6ePMldd90VsohetMx2ayGYN0D5u3IfyomdcJWwo0WLxlZrbRLzU+QIMSIIS7BjsPFIztPe3k5TUxNnzpyhv7+f/Px8Wlpa+Pu//3sWLlzIHXfcoZ6W0UqAmmD2BKtHBHD06FFsNhtwzQsxOjqK1+sFrtWMyc3NJT8/n6GhIQoKChgbG2NwcBBZltUih0qmXovFwsTEBO+88w59fX309PQwPj7OwMCAekJHybbb29s7pQ5NTU0N1dXV/OY3v6G3t5eBgQFcLpdfRt9YPYOZeBwDvQG+p3F86/fEw2OgRWOrxTYJpkeIEcG0BA7ueA10s9nM1atXkSSJwcFBsrOz1TiAK1eu4HK5Qq4iIxUoQshoC98qtIWFhQA89dRTvPLKK9jtdq6//nouXLigJitLT0+noqICt9vN1atXWbRoETfffDMffvghAOnp6QwNDakVfScnJ1WBU1VVxfDwMCUlJeTl5XHp0iXGxsZ4+eWXGRsbQ6fTqSe8WlpaOHjwoJp9uL6+nnfeeQen04nX61WFkS8z7VuB2ym+KecjIdRpnKKiIvbv309zczOrVq2akpJey4hxOv8QYkSgCVpbW0lPT0ev1zM4OMiKFSuoqamhqamJyclJFi9ejF6vV48l6nQ6WlpaVJd0JG5uLUXaC/7I2rVr6ezsxG63s3v3bqxWK+np6WRkZNDV1aUmJBscHOSGG24gIyNDFasDAwNcuXKFZcuWUVRURG1tLfv27ePjjz9GkiQKCgoYGBigoqICm81GbW0tLpeLo0ePkpGRQU5ODmazmbq6OjweD2VlZTgcDux2u5qe/vHHH6e8vJyMjAxkWSYjI4P169f7BUzPpm8pYsJisQRNOR/pbwBqkjUl4HZycpKCggJaWlro7OxUhZmWEeN0fiLEiCDpOBwOPB4POTk5uN1uFixYQE1NDV/72tf4whe+wGuvvYbH42HPnj089NBDfkXAFIESiZtbS5H2gj8anaamJjo6OlizZg3nz59XM64WFBRw/fXX09bWxoIFCxgZGWHhwoWUlpaqyceGhoZwOBxcf/319Pb2MjQ0xIoVK0hPT2dsbIzOzk5GR0f51Kc+xZYtW8jPz+cv//Iv6e3tVb0baWlpbNmyBaPRiF6vp7GxUU1Pr5xC6e7upri4GJPJRF9fH4888ghwzZsXbW6QYBgMBvLz8/1Szof7jUDPQbDCfGfPnmXnzp0cO3aMkpISGhoa1IyykRj4UJWT440Yp/MTIUYEScXhcPDEE0/wq1/9iuHhYdLS0lizZg0ffPAB7e3tFBUV4fV61QyXra2tU4qARRpBP9tIe+E6ji2K0SkrK6O1tZX9+/erBe/y8vKoqqrioYce4vvf/z5erxe9Xs+yZctwOp0AjI2NsWDBAtLS0tR4EyVR2U033UR7eztOp5M1a9aocUitra309PRQXl6O1WolLy+Pe+65hzVr1qhGXafTodPp1IRn+/btw2q14nA4yMrKYvXq1ZSXl08x/rONyYi0fwbzHAQacJfLhdFoxGg0UlVVhc1mU4PQIzHwoSonJ6Lfa+lEjCBxCDEiSCrt7e2YzWb1OObY2BhNTU0MDw8zPDysnmLIyspi5cqVasl33yJgkUbQzybSXriO48Pg4CBNTU14vV76+/uZmJhAlmUmJiY4c+YMBoOB3Nxc7HY7w8PDvPLKK0xOTmIymdRkaAsXLmTlypV4PB71CK7RaKS0tJQrV67Q1NTkl1jPYDDQ39/P9ddfz5//+Z9z//33q0LkiSee4M0332RycpI777yTDRs2sHfvXjWz75YtW9i4ceOUDMLKCZzGxkbq6upm1Dci7Z/BPAehDLhSMK+2thaI/CRce3s7zc3NTE5OAtDc3JwwD4XWTsQIEoMQI4KEongX9Hq9Wp69traW8+fP4/V6WbZsmWoYlMyr5eXlqhEINVFFGkE/00h74TqOLVarlUcffZS2tjZGR0dZuXIlV65cUbOwDg8Ps2TJEi5fvkxBQQE6nY4PP/xQjdvo7e3FaDRiMBgoKiqivb2djo4OBgYGWLJkCUeOHGHx4sXcdddddHV1UV9fj9PpZPfu3ZSUlLBkyRJyc3P5wx/+wOXLl3nooYd45ZVXeO211+jr6wPgyJEjPPjgg6qRX7lyJRs3bgSYkkHYtxieEmcS6RaLL5H0z2DCI9S4mOlJuIqKCjXlPVzLLZRID0UsT8QIj2ZqIMSIIGH4FuhSjlCaTCbuv/9+1q9fj8fjYdWqVbz00kucPn2arKwsysvLufnmm1UhAsk5uidcx7HFt+7QpUuXGBwcZMGCBWrmVFmW6e/vZ8GCBdxxxx10dnaSlZXF6Ogo6enp3HLLLeTm5nLjjTdy/PhxOjs78Xq9jI+Pc/XqVTIzMxkbG8PlcnHfffdRXl7O//gf/4O33nqLxYsX43K5GBkZYdmyZQwNDfHGG2/Q09OD0+lkcnJSzVPy8ssv8/DDD7N582Y1bsJsNk/JIOxyuSISq7HwsEUiyH0NsOIVUT4T6TV8U94nMmYklsxFj+ZcFVdCjAgShuJdUI5QlpeX+x099M0c6es90cKgm0uuYy1MZkrdoa6uLiorK9VTMs3NzaSlpTE5OYler8fpdOLxePj0pz/N1atXSU9PJzMzk8cee4wjR46oHosLFy7g8XgAGB8fZ2JiQs0/smHDBjo7O/nwww8ZGRnhwoULGAwGli5dSk9PDzqdjv7+foqLi3E6nWrhvcWLF9PU1ITT6fTLFBwqg7DvEWW9Xh/0vmPlYQsnyGNlgA2G2KS8T2Z/05pHM1jgcbRp/2MprrQwFygIMSJIGBUVFRQVFXHy5EkWLVpEX1+f39FDZaLQatIirbYrGrSyUjSZTLz44os0Njai0+nYu3cvq1evxu12k5OTw8TEBAMDAxQVFXHs2DGOHDmCw+EgIyODlStXctNNN7FmzRr1VI3VauXs2bM4nU6KiorUKrs5OTlqdlVArXWTn59PaWkpt956K4888giPPfaYemqnpqYGi8WC2+1GkiTKysr8DFkoYbp161Z27dqF3W5nz549QZ9tNB62mRgKh8PBwYMHaWlpCVpCIVH4bscq21fJ6G9a8mgGO/EUzbOJ9bvVylygIMSIIGE4nU5OnjypnpL5D//hP/DCCy+oRw9bW1txu90p6xJOBbS0UjSZTJhMJhwOh+rleOCBB6ivryc/P5/vfe97HDlyBJfLxcTEBOPj42RkZJCRkcHbb7/NDTfcQE1NDU6nk5GREdLS0tDr9dx4440MDg6i0+mora1VPRd33HEHb731FiaTidLSUr7+9a+r23//+3//b/77f//v2Gw2bDYbixYt4lOf+hRnz55VT9X4ejuCCVOXy4XH4wlrKCLxsClHagNryURyFNd3GxRQg7wTuQL2NXI6nQ673Z40YaQlj2bg2GtsbIx4LIZ7t7FqT7K9RkKMCBJGY2Mjly9fRpZlrFYrL774opq7oampiccff5zs7OyEHiMMhZbcl7FESytFhWAGQzlGOzExoSY3S09PV+vQ/M//+T/JycnhvvvuU6s+FxYWMjY2xl/91V9RV1enBkgrv/vd736XrKwstVKtIkQcDgfPP/88HR0dLFq0iNzcXCoqKvB6vXzuc59jYGAgrLdDYbpMqqHiOHwJzL2ixKVEYigU4xJ48gciSwoYK3yNnNVqpbCwcNb1rGaDVjyagWPP92TgdM8m1LudzX1pbS4QYkSQMOrq6igoKFATWykZIfv6+piYmFCNTSKPEQZDa+7LWKKVlWKoKrUOhwOz2Yzb7cbj8VBRUUFXVxd6vd4vQHVycpLMzEzMZjMbNmzA4XCoAbE6nY6CggIAddtEqTUTrFJte3s7drudkpISenp6uPXWW9mxY4dfgblIVvbKsw2WSRUiEwSK0amsrKSjo0ONS4nEUPgaF+UYvLKNlcgVcGA7UikNfTwJNvYiHYuBz3S2QiRUe5KJECOChGEymdi5cyf/9b/+V9LT0xkcHMTj8bBs2TJMJhNHjx4FEn+MMBCtuS8htp6aZK8Uw9UXUlzROp2OwsJCXC4X99xzDw888AA///nPWbhwIX/4wx9IS0tjYmICo9GIx+NhfHycT33qU7S1tfGjH/2IQ4cO0dfXx7vvvovBYMBms7F27VrWrFkzpT0VFRWsXLkSuHZqZMeOHeoK1OFwRLV6NBiCZ1IF/PqUxWIhPz9/yvv0NTqbNm2ivr5e3WZSsr1OJ4YCYzWU5GeJ8E4o/VQIkOAEjr1oUhLEQzgkey7wRYgRQULZuHEjX/7ylzl+/Dj9/f186lOfor+/n6997WvcddddlJSUqNkwk4XW3JdzzVMTKPaUlOMXLlzgzJkzXLlyRc0vsnjxYoqLi1WXdktLi5ruvaioiC1btvDkk09y/vx50tPTKS4uprKykubmZjWlfGtrKxkZGTz55JOsXr16Skr0wIke/A1/tEYgVP/x3cJRsroWFhb6iZ9QW1aKSAv8fCDK/ZjNZr9qyNu2bQsqfmJJtP10rm6FxgstCYd4IMSIIGEok8/27dupr69XA/SMRiOHDh1SV27BVq/T/WasVwvxdF9G2+bZeGq0OOEHxlY0NDRw+PBhNT5EibNwOBzceuut2Gw2Ojs72bx5M2vXrsXj8fDb3/6WwcFBnnvuOT7++GPS09MZGRmhpKSE/v5+ysrK1EC/jIwMli9fzuXLlzGbzaxevdrvOfrWYHE6nUFPOETz7EL1H+Vvbrebf/zHf8Rms9HU1ATAs88+q34u8HpKcchQn5/uGVdWViYkKDyafjpbga3Ffi2YHUKMCBJCsMmnvLzc72hntMY2nh6DeK1CZtLmmXpqtOpR8TXWNpuNf/iHf8Dr9ZKenk5BQQGVlZV4vV7y8vLU0ymKJ6G3t5ecnBy6u7tZv349FosFSZIYHBwEoLu7mw0bNvDb3/6WK1eukJeXx3XXXYfT6WTZsmXU1tb6bVcoNVjeeOMNvF4vN998M263mxUrVsQ8D4hvXExhYSFNTU2UlJRgt9vDXqeioiKqzwc+40QZ7Gj66WwFthb7tWB2CDEyj0nk6iKYa37fvn00NzdTWVk5oz1tLcZ2TMdM2jxTw6L15+N2u3n99dfp7+/H6XRSWFhITU0N999/P3l5eZSXl/sFkSrJ8u688066u7tpa2vj9ttvJzMzk6NHj7Jw4UJ6enrYu3cvfX19LF++HLfbzeOPP87ixYvVAGrf52g2mzGbzfT19eH1ejl8+DAGg4Hu7m6/ejbTEc1YMhgM7NixA0ANrg13nWg/7/s9rR6jnc1WqNb7tWBmCDEyT0n06qKiogKj0UhzczPV1dUMDAywf/9+Jicn6ejo4Nlnn8VoNEZlbLUW2xEJM23zTAyLVp9P4PHVu+66iwsXLvAnf/InuFwu9u7dq/ZJk8mE1WpFp9PR09NDWVkZY2NjfsGd7e3tbNmyBavVyvj4OAMDA3i9Xi5dusRNN93En/7pn/oFpPqi9MumpiY18+qtt97K0NCQemQ40vuJZiyZTKagJ3ti9XmlXbFYbEQrtOIdkKnlfi22jmaOECPzFK2tLvLy8kLmXgiF1o6mRUIi26yF5xNsgg48vqqIiA8//FDdfmlpaeHgwYPU1dWxZ88e7HY7hYWFPPzww5SWlvrFQBgMBn7wgx+wc+dO7HY7NpuN8vJyCgsLeeqpp9TEaqESiX33u98F4NKlS4yOjgKoad6nMzCzyYo5k1iUaLYynnrqKVX8zzRvjxa3QrXQrwMRW0ezR4iReUq8Vxe+kzjAwYMHsVqtVFdXY7PZyMvLY9OmTepkqRxfjJZUjDBPZJuT+XxCTdCBx1dramp47bXXKC0tpauri5MnTwLQ0NDAgQMHsNvtlJaWcvjwYa5cuRJUKKxZs4a77rqL3/72t2RnZwNw1113sWbNmmkTiZlMJn784x9PqYcE4XODxCMr5kyecTCjbLFY/DyP9fX1M6ozk4xFSyQehkj6dTK3oZO9uEtFhBiZp8RzdeFrhIxGI4AafAjXJuyamhrVxa6V1Y2WiWZi1Yq7ONQEHewo7YULF2hpaVGTlblcLm677Ta6u7spLCykra0N+OPxWIvFwptvvuknFOrr62lubuazn/0sXV1d6jaLcsw1XCKxYMbN93hsMAMTmBXzgQce4IYbbojnI/UjEavxRG+JxOqekrENrcWto2hI9rwhxMg8Jl6rZl8j1NzcDFxLZAZT0xgrpwumS+g03wj0LEU6sWrJXRxugg7se48//jj79u3jF7/4hZoAr62tjerqajZs2ADgd/wbmCIUampqWLVqlSo2glXZ9Y01me0pJt9/N5lMWCwWDhw4MOvnHqlRCLcar6mpiZnnMZFbIrHyMCTaU6HFraNo0MK8IcSIIOb4BqtWVlaSk5ODzWYLmsZYC4NASzgcDo4ePUpDQwMej4eVK1eyefPmKRMrEHTim24STuTqJ9oJ2mKx0N3drcaN3H///Rw6dEgNaN2+fbu6heJ0OtHpdFitVnVrxPd6Sk2ambQj0vb7/rty4me2xi+a8RAolvR6vZ+o37lzZ0zedSK3+mLlYUiGpyIVt4wVtLDNJMSIIK7k5OSwfft2Ojs7g/67FgZBvIjW8CtBh/v27ePq1auqB2Dz5s1TjE4ogxVuEk6G8It0glZyjijxHPfffz8ej0etmNvW1obL5aK2thar1cquXbvo7e1lyZIlbN261c/TBsE9STMNlgz3PeXfo00bH+45RDoeFDFksVgYGBhg9+7dU4JztTqWQo2NWHkYUt1TkWi0sM2UMmJEkqRC4DngfmAS+A2wXZZlT5jPPwVsBJYBfcCrwN/LsuxKRJvnK4phUYJVOzs7p+zvR2I8U4FQk+pMDH97ezvHjh1Tc160tbVx8803T4mvCWewwk3CwXK9xDtFeKT49oPq6moOHTo0Jc5ISVK2a9cuDh06RElJCXCtGnRBQcGU0zozSaI3U+MVK+M3k/Hw5ptvzqjKb7KYbmzESkRpWYzFm2j7shbEW8qIEeCXQCmwAcgEngf+GdgS4vNLP/m//wacBSqAn33ytwfj3dj5TOCECuGLhCV7EMyUcJPqTA3ixx9/zMjICGlpaej1erZs2TJFUOj1eiorK9VaJXq93u83Qk3CgWnYgx1zTRTBqvYGbnkECwxtb/9jhd2uri6cTid79+7l1KlTQU/rRGrQY+E1ioXxi3Y8BB6TDhacqzXmsjdUC8y0LydbvKWEGJEkaSXweeB2WZZPfvK3bcCbkiT9N1mWLwd+R5blj4D/4POnNkmSngT+/5IkZciyPJ6Its9Hgp2WmM4IpuJkFG5SDUzyFolxaG1tJTMzk/z8fIaGhqiurlbr9ATmjXj44YfZvXs3drudPXv2RDTh+Lr1L1y4wGuvvRZ1boxYEGqyDLblYTKZOHHiBC+99BLV1dVs376dlStXMjY2htPpxOPx0NfXR0tLS8jTOsHuK1AMaclARjMeZhqcm0y07g1NxqmSWF5TS305GlJCjAB3Ak5FiHzCW1zbrrkDeCXC39ED7nBCRJKkbCDb5095UbZVQPDTErEM9NMC4SZVp9OpbrdEgsPhQKfTUVJSwscff8zChQspLy9X//3o0aPs27ePyclJLl26RE1NjVq3RUkQFhgcHIo333xTzY0xNjZGSUnJFO/KTIjFKZDAEvQ2m41vf/vbfvkyHn/8cQ4ePMgLL7zAlStX6OnpoaamZtqjur7tDBRDWjeQoUhFz6KW25yMuKpYXzNV+3KqiJES4IrvH2RZHpckyf7Jv02LJEmLgL/n2tZOOJ4Ads6kkQJ/grniYxXopxU2b94M4LcaVeIa3n33XUpKSrBarUFFl/J89Ho9u3fvprm5mYqKCsbHx1m0aBE9PT3qiZA9e/bQ3d0NwIIFC4D/r717D2+rvBM8/n1lS7bju5I4sePEuAFMJpgGcoG4Q6ApsIWmFLKdGUh3ZtNOu6HPPG06z5al3XbJFBrKtiVTelmaYTtlplOXeZbSy7RcQlPaJ+SOi8E4Tpw4jmMrtmNHsuRLLNnS2T9kHWRHsi1Z8tGRfp/n8QPR9T2vznnf33mv6F01vb291NfXT+qqmDo1ODTIsaenR18t1OfzYbPZYmpdiWYus0BCaYz0GR6P54r3l5aWctddd/HWW2/R0tJCbW0tjz766KzTHikYWrNmTcpWkDMxY8tivGlOdquFEa0Kif7OVA72pmNoMKKUehJ4ZIaXrUrA9xQBvyU4duQfZnj5N4A9Yf8uBLrmmoZYGL34TCJM1xRvxgslXKSlxcNXBPV4PPT09JCfn09HRwc1NTVXBF3h+WO1Wjl+/Dg+n4+RkRG8Xi+nT5/W86apqYmGhgYCgQCBQACfz8f+/fvZvXs3v//97/nJT35CeXn5pGm/oS6d0Jid/fv309/fz4IFC1i8eDGAvgNsIrpq4pkFMvUciPQZ0dbLmMt5FC0YMmOlnknScZG3ZH2nGc9lo1tGngKem+E1Z4EeoCz8QaVUNmCfeC4qpVQh8AowCNyvadq07eaapnkBb9j7Z0heYqXLuhtm7becSbSlxcNXBF24cCHd3d04HA4sFgs2m42BgYFJLRXh+5kcP34ct9uN2+3Wu3Xy8vIYGhqioaGBgoIC3G43gUAAgIqKCoaHh+ns7Jy0Nkdol9nwpcBbW1tZvHgxly9fZmhoCK/XS1ZWFp/73OfYvHkze/funbYQnM3eLOGDamdboEYqLCMVyqWl0dfLiLfATYeAOFHMdOMzH2WKEeeGnI9BhgYjmqb1EZxyOy2l1GGgRCm1VtO0homHNwMW4Og07ysCXiUYXNyradro3FOdXIm44OazgIn2XdGi/dAaEaGt0M0WbEWbvQDvzRhqbm4mOzsbu91Odna2fsxDQ0P68vitra10dnYyPDysb842Pj5Ofn4+Q0ND+v8XFBTwwgsv4PV6sVgsKKXIzc3VZ5q0t7dzww030NfXx8aNG/U1Svx+P0oprFYr1dXV9PT0oGka2dnZ2Gw2rrnmGkpKSiJ2M4XMFBhPfT40ziPe8y5aoZyMuzwz3jkmmtlufOar1cKIc0POR+NbRmZF07QWpdQrwLNKqYcITu39PvB8aCaNUmoZsB/4G03Tjk0EIvuABcB/AYomHgPo0zTNP+8HMgtzveASWcDM5q442ndFqlgirRFhthaT0O/T0tLCunXr2LZtmz7jJfR4SUkJeXl5XLp0Cb/fT3Fxsb541xtvvMH4+DhKKfr6+rDZbNjtdq699lp++9vfYrVaycvLo6KigltuuYXy8nL6+vpYsGABw8PDAPT399PVFew57O3tpauri0WLFvH444/T0dFBdnY2lZWVLFy4kDVr1rB9+3Z2797NoUOHUEpx4403UlRUNOm3W758OU1NTcB7gclMgfHU50OLks1WpPMrfGyRbBGQXGZrvZQWhPRmimBkwicIBiD7eW/Rs8+HPW8FaggGHwA3EZxpA3BmymdVA+eSldC5mMsFN5ftzCN91kxBzUyF2dRoP3yNiEgzIOZqPlqESktL2bFjB1/96ldxOBy89tprejBy6623cubMGRobG/H7/dhsNgoLCzl58iSjo6O8/fbbBAIBNE1jfHyc3NxcOjs78fl8WK1W7rzzTm677TZuvfVWAD1v1qxZw9mzZ/F6vVitVkZHR/n973/P8PAwpaWlrFy5klOnTnH+/HmysrIYGxsjJyeHz372s9TU1PCLX/yC7u5ubr/9dg4ePEhfXx/f/OY36ejooKKigjfffJN33nmH1tZWsrKyuPvuu9m1a1dMe7PEGjhPd36Z7Y59Jok6LxN9fptx1oW0ICSXkd12pglGNE1zEn2BMzRNOweosH//IfzfZhLPBZfo7cxnc9cUa2FWVVXFqlXB8cixzoCYyXxWYJ2dnbz55puMjY1x7tw5Nm7cyOHDhzly5AgXLlwgOzsbr9eLy+ViZGSEixcvsmjRIvx+P3l5eWiapq+RYbfb9e6c4eFh/vSnP7Flyxa9GwZg165dbNy4kWeffZbm5mb6+/vJzc2lpaWFuro6fD4f69atY3R0lLa2NrKzs1m2bBnl5eV8+tOf5uTJk4yPj3P27Fmys7OpqKjg4MGD9Pf309DQgM1mQylFIBDAbrfT3Nw8qxkm0wXOMxVq051f0Z4z0/iGkFTehVZaGkQ4o28CTBOMiOmFCvBQJTZ1d1yILeqdTaARrSsmnsprrpLd5Dx1qmwgEMDlcjE+Ps6zzz7LuXPnCAQCeDweCgoKGB4exu/309PTg1KKnp4ecnNzGRgYwO/3o2kaCxYswO/3MzY2xsWLFxkdHdW7Svbs2aOnf2BggFdeeQWbzUZNTQ1DQ0P6d33sYx+jpqaG4uJiPB4PDocDn89HU1MTTzzxBB0dHVgsFgAuX75MQUEBBw4cwOVyMTo6SiAQ0FtcQt1HlZWVeDweXC5X1DwI/62nbko3m0JtuvMr0nNzKSiTEcQkYk2VWCTr/JaWBhFidLedBCNpIrwAT8TuuLMNHMILs9l8R7IKv2Q2OUcaqLl+/Xp+97vfUVVVxdDQEMPDw+Tl5bF48WLuv/9+jh07Rl5eHn/4wx8A8Pv9lJSUMDg4iM/nw+fzMTw8jFKKzs5OPB4P4+PjLF++XF9fJNI4m9zcXD3/cnJyKC8vp7i4mOeee44//vGPjI6O4vP5GBwcxOVysXDhQs6ePat3D916662cOHGC/v5+fXYOwNjYGFlZWVgsFs6ePctTTz1FdXW13tpSWVmJ1+tleHiYVatWsWPHDvbu3au3xC1ZskQfkDybQm268yvSc42NjXEVlMm42wv/zGXLlkVc9TTeWUbRmLFLRSTGfLUIGn2OSTCSJmYKHuKJemMNHIyMrOez1cXtdrN7925ycnLo7e3l4sWL5OXlMTY2xk033cS2bduwWCy0tLTwvve9j56eHgoLC/H7/SxatIju7m6ysrKwWq0opVBKUVRUhMvl4tKlS5SUlOgrok4dZ3Pbbbdx/fXX09YW3FCuqKiIBx98kLa2NjweD36/X2+18Xq9PPzwwzzzzDMsXryYM2fO0NfXx9VXX017ezter1efYTM+Po7f78ftdnP48GHKy8vp6uqir6+P8fFxDh48SE5ODhUVFfh8Po4dO0ZbWxsFBQU0NDTohVgo/2dTqE13fk19Lt6CMtHnZPi4rPLycl5++WWam5tZu3btpAXnEjnLCKRLJVPNZ9eJ0eeYBCNpZLrCfT6iXqMj6/lsdSktLWXPnj3s27eP+vp6amtref311+nv7+f555/XKyCAp59+Wm89+OQnP8l3v/tdjh49qu9DMzw8zNjYGGVlZaxduxafz6e/t7i4GLvdjs/n08fZlJSU6AXGvn376OrqYunSpQwNDeH3+8nKyiI3N5eCggKuueYa7rjjDtra2vjIRz7C1q1b6e7u5siRI4yNjeHz+cjJyWF8/L0dEsbGxujs7MTpdKKUYmRkRO9OOnPmDBaLhZqaGlauXMk777xDaWkpTqeT97///XreJLpQi/czE3lOhiqGt99+m46ODjo6OggEAvosqn379rFhwwaOHTs2aRB5rLOMopEulcwz12A6nt17jTrHJBjJELEU5vE2C079DsCU0zMjLWO/Y8cOjh07xoYNGyYdS3l5OdXV1TQ3N5OTk8N11113RQW0Z8+eSZ9XW1urjw1Zvnw5nZ2dDA4O8tprr+FwOPSBxy6Xi7179+otI48++qg+JiiUhg0bNlBZWUlXVxcrVqxgcHBQDx6qqqqora2ltrZ20m/y4osvommaXpFarVbOnj3L5cuX9eMqLCxEKYWmaWRlZaFpmj4Ad8GCBXg8Hnbs2MFjjz2GpmksXbqUBx54YNLYkUi/+XwPQk3ked/R0UFLSwvd3d2cP39e30uoo6MDl8vFv/zLv/Ctb32LnJwchoeH9XMgnsXkhIDkzVhLRRKMZJDZRL1zPYFD32G2CyEkUroHBgb0qbyvv/4627Zto6ioSN81t7q6mk9/+tP8+te/pru7+4pZTFPzvbS0lE2bNun/DgUYdXV1EcdJVFdX43A49NaScNXV1fzsZz/j2LFj1NTU8Nxzz9HY2MiyZcv4+te/rn9v6L+NjY20t7djt9v12T533HEHly9f5vz58+Tm5qJpmh6I5OXl6XvY5OTkMDY2Rk9PD/X19axfvx6n00lNTQ3t7e08/fTTDA0NRe2amOsg1JnGaUQz3XkfCgoAvvWtb+FwOLjuuuv46Ec/SmFh4aTvqKqqwm63c/jwYaxWKwsWLKCkpITbb7+dQ4cOYbPZOHXqlL7rcnZ2sHgNX33XzNeGmH9zaWU0ekBqrCQYEZOk+uj/RAi/Kx0YGNBbPKqrq/V0L1y4kIaGBg4dOkR9fT2//vWvycrKorGxkaamJjweD5cuXaKsrIz+/n4uXrzI8PAwdrudHTt2xHWs8Y6TqK6u1gOaaEunh3+m3W6noaGBa6+9lpKSEm688UZaW1vJzs5mcHCQP/uzP+Odd95hYGAAr9eLzWZj0aJFlJWV0dPTQ11dHa+//rq+fgqA3W7XA7OWlhZ9xdlQZQvMaQ2c8N8l0jiNeIRWxu3s7OTMmTP09vZis9n405/+xC9+8QsKCwvZsmULu3bt0n+bRx99FK/Xy/Hjx7FYLKxZs4a//Mu/xOVyceTIEaxWKxBcTfeqq66atPpuKC9S+doQqSferhOju81jJcGImCTeE3hqs/NcmxeT1YQdfle6cOFCjhw5gsPhwG6389hjj7FhwwaWLVvGyy+/DEB9fT0dHR1kZWXh9XpRSpGXl0d7ezuFhYW0tbVRWFjIxYsX+dCHPsSlS5fo7Oyc84BFiO+uaKaCK1ShAnrwEJpd4/f7WbduHT09PQwMDDA+Po6maeTk5PC+972PBx98kKamJpqbmwFYtmwZp06d4o477mDLli36zsOhFWdDXVahfXvmsgZO6HxqaAjuBhE+YDaePA7NUnr11VcZHR1lYGAATdPw+XwAeL1eRkZGOH78+KTvqK6u5gc/+AGHDh2ip6eHzZs3U11dzSOPPEJTUxP19fWcPHmSoaEhxsbGJgVpsQ7wTSbpJkp/Rg9IjZUEI2KSeE7g8AXX7Ha7PrYhngsh2U3Y4Xelb7zxBq2trYyPj3Pp0iV27tzJAw88wJ133qnveNvd3U1VVRW9vb36Oh0AK1as0Bc3q6ur49ixYzQ2NrJmzZpJu/nONf2zvSsKn0o6UyBUXV2tj2PxeDx873vf44Mf/CAnT57UF3ILTQW2WCxYrVaWL1/O5s2bWbp0KStXruTw4cO89NJL+Hw+9u7dS1lZGW63G5fLRXd3NyMjI7S1tXHzzTczODhIS0sLBQUF+Hy+K9bAmU3FGDovp+6WPJdF/ZxOJ4WFhfT19enjYjRNA4KDeP1+Py6XS5/ZFDIwMMALL7yA0+nk9OnT+m+8adMmfTxQd3c3Q0NDrF27lueff/6Kwc/zWUlEWh9Guokyg5kGPUswIq4Qz5TelpYWHA6HfucavmhX+KDG2XxWMpuwq6qq9M3sKioqaG1t1TeqU0rR3NzM1q1bWbt2rb5my44dOzhx4gQ//vGP6e7upqysjG9/+9s4HA7q6+txOp2UlJSQm5vL4OAg3d3d03ZFJPqudOrqu+Frfsw0ddblcun5sWzZMpxOJ4sWLWJgYICcnBysVivr169n586dPP3003qLUXl5OaOjo2RnZ9Pa2spXvvIV+vr6yM/Px+PxsHjxYpxOJ0eOHMHn83H27Fl6e3spKyujvLxcPyeAWVeM4RX+dAvtRcvf8MeLi4spKCjA6/WSl5cHQG5urr6RoMPhYOnSpVRVVU0aqzOb/ZVefPFFPZ/uvvtudu7ceUWAOF+VRKTAQ7qJzCndW7MkGBFzFj4OYenSpTidTr2yifUObD6bsCsqKtiyZQv79+9ndHSUgoICVq9erc9ACc14KSkpobCwkKamJgKBAP39/TgcDg4cOMDQ0BA2m43S0lLKyspwuVwsWbIk6p17PHels11aPdKaHzPNaAlXWFjI4sWLgWBgNjQ0BAR/E4/HQ3Nzs75Q2sDAAFarlbGxMTRNY3R0VF91NrQJoFIKt9vN66+/rs/eOXPmDJ/61KdYvXo1q1at4p577pnT+jeR1vTYu3fvFfk7tXvO4/HQ0dGBpmls2bKFCxcusHXrVk6cOMG+ffvIzc0lEAhQVVVFVVUV7e3tHDt2jIKCgmn3V+ro6JiUT83NzQmb2huPSIFHKnQTidhkQmuWBCMmlUpR8tRxCKHxAPHsMTLXJuzZVNwOh4PVq1fjcDj43Oc+x0MPPcTg4OCk2RMul4uXXnpJv/hDm9eF9PT06DNdWltb6enpoaWlhcrKSp544gmAhCw+F8vS6qHvHxoaijomY+rn3XPPPVfkR1FREQ6Hg+985zusXLmSS5cuAbB69WrOnz8PwI033qj/xpcvX8bpdJKfn49SSu/6CI2/sNlsjI2N6RX0uXPnuOaaazhy5AilpaVYrVba29tjGkcS+p09Ho/eBdTS0qIvxjY1f8MHwL7yyiuMjIxQUVGBzWajr6+PW265hb/+67+mqamJpqYmLBYLbrebwcFBOjo6eOihh/TdkauqqsjNzeW22267Yn+lqqqqSfm0evVqQyv7aGvkmGksgUjtCQGJIsGICaVilBw+DiG8gJtuj5FoUzRjHScRS1/41MI52vTQqRf/Pffcw913301zczOrV69m8+bNnD59mra2NpYsWYKmadxwww16a0K0O+FY70pjXVp9pjEjUz8PiJgfVVVVHDhwYNLjtbW1bN26VV8TpbOzk+LiYj71qU/x+OOPMzo6qlfuY2Nj+vTg8EAkKysLpRRHjx4lEAjQ2NiI3W7nlltuuWIW0nTdLV/72tdobm6msrISh8NBT08PlZWV1NTU6N1Oq1evBuBHP/oRBQUFLFu2jMbGRgKBgD4LatOmTXzsYx/j3Llz/OQnP2HNmjX6Hj/FxcU4nU5effVVurq6KC0t5fTp03R2dpKfn8/1119PSUnJFb/Frl272Lp1K8Cspx8nS7TAw0xjCYT5ZsbEQ4IRE0rVKHlqARepIAytnRHLFM1IlVKkQbNut1vPl9CKmFP36JntXWGkoGX58uWTpgGHBwChroGZ7u5jvStNxNLqMx3X1DEY06Vz06ZNNDY2curUKd599109z8fHx1m0aBEXL15kfHwci8VCIBAgKysLv9+vf7/VasVms+nL1vv9fkZGRrhw4YI+NsPlcl0xUDU0PbipqYm3336b3/zmNyilOHXqFHa7ndraWvr6+mhoaKCvrw+Px0NjYyMPPvggXV1dWK1WPvzhD+uDUUdGRrjlllv40Ic+xOOPP05raysQHJhcUlKiLyC3dOlSNm7cyL/927/R1dWFz+cjEAgQCAQ4efJk1OAwfB0Zo0ngYX6Z0JolwYgJmSlKnloQxjpFM1prR2jQbEdHB4cPH8br9bJ79269u8LhcPDMM89w+PBhfZ2ISGkKVXww+S526sUP6AHHW2+9pacj9PpYCopYKodEF0LT3SnPlM7wBcJGRkYYGBigoKCAS5cuMT4+jtvt1mejBAIBLBbLpEAE0PfhCU3/HRsbY3BwkKGhIYqLi/Xfu6GhgfPnz/PBD35Qnx4cGhg6PDyMx+OhuLhY33iwpaWFrKwsHn74YX2Krs/n03dH9vl8NDY2MjIygsViYWhoiP7+fp555hnOnDmjj3U5f/48LpeLvLw8PvCBD7Bz506ef/55lixZgtPpZHR0VG/tqaioSOlrT6SXuQSVqdStH40EIyZk5ig51ima0VqBqqqqyM/Pp62tjezsbI4fP05nZyePPPIIL774Ik8++SRut5vu7m62bt0a8U411NwfPvMhPHAJv/hn2jU2mXefif7seD5v6oyd3NxcCgsLCQQC2Gw27HY7breb4eFh/T2RWkZKSkrw+/3k5+fr04HLyspYvHgxbrdbb2lZuXIl58+fp6mpiYULF9Ld3U1zczNjY2N4PB59HZDi4mICgQBjY2NYrVbcbjfZ2dn4fD4WLFiA1+vV/3/FihW8++67+pL5R48epby8HKvVqs+o8vv9eL1efWn80JiUUGvOihUrcDqdrFu3jt27d886H81QGWSqdP9tUrFbPxIJRkzKzE2v0aZoRhKtFai0tJRPfOITHDp0CIvFgsVi0R+/5ppr9G6C6USa+RCthSZRrVFmLfimzti57bbbyMvLY8OGDZw/f17/HUZHRycFH36/H4vFok+ZHR4eprCwkKKiIoqKiujr6+PChQvcdNNNep6G8rmuro6jR4/S3t7OhQsXqK2t5dSpU1y+fJmcnBxycnK45ppreOedd8jJyWF0dBSLxUJhYSFOpxOfz0dpaSn3338/N998M8ePH6e5uRmv16svbe9wOFi4cCELFy5kYGAAt9vN6Ogo+fn5tLe3093dTW9vL+fPn8disbBixQrq6uom7RM0E7NUBpko1X+bRJQXqdqtP5UEI8IwoQtiunVIpmsFqqur47777tMHK9bW1gLB7pbwwaahx6eKZeZDIlqjUr3gm06kGTvvf//7+cIXvgAEx3KcPn2af/7nf+bUqVO4XC59N+Dc3Fyqqqrw+/309vailOLkyZPcdNNNeDwesrOzycnJASbnc0NDA6+99hpLliyhp6eHz372s9TU1PDEE0/g9/sZHR3l3nvvpbu7W98/Jz8/n4GBAbKzsykpKSEnJ0fvDnI6ndxxxx3s378fn8/H4OAgOTk5+Hw+Ll++zOjoqL43j6ZpuN1ufvWrX1FaWsrKlStxOp1s3779inFIMzFLZZCJUvm3SVR5YZZufQlGhGFme7FFawUKzVyINP5hpj1awl8325kPc22NSuWCbyYzzdgJtXSdPn2aoqIizp49i8vlYmhoiOzsbHp6erDZbFy+fJmhoSEsFgv9/f34fD4sFgtvvPEGTU1NbNq0Sc/n4uJinn32Wbq6uqisrGTz5s10dnayaNEihoaGsFqtXL58GZ/Pp++Uu3z5cvr7+wkEAly6dIn8/HwqKytxOp360uy33normzdv5oUXXuDtt9+mtLSUvr4+CgoK8Hg8XH311eTl5XH99dfT0dGB1WrVg69YAxEwT2WQiUKL38U6tXw+JKq8MEu3vgQjaSzVuwRme7HNtC5JLAFMpNfN18wHs1dKM+VpeKF36tQpvvGNb9DV1cXg4CA2mw1N07BarXoLRFtbG8PDw2iaxsjICIODg5M+L3xH4tAMJoCioiJ6e3uxWq28/PLL+hiU0EqvoT11srOzKSgooKuri7Vr13LPPffw1FNP4XK5OH36NF/+8pf59re/zcjIiL7WydjYGD6fj/Xr19Pd3Y3L5cJut7NkyZI5bYCYzLVzRHxcLhd79+7VA9V4f99kSWR5YYZufQlG0pQZugRmc7GZ4Thmyyx3KHMROqbnnnuOS5cuMTw8TFlZGV6vl9LSUrq7u8nKygKCM3Ly8/Ox2WzYbDYKCwuvqHjDdyQGcLvdlJSUUFpayuDgIM3Nzdjtdn3Buo6ODkZGRhgdHSUrK4sPfOADbN++HYAf/vCH+irBDQ0NnDhxgrGxMZYvX86dd97Jnj17WLFiBS6Xi/Xr11NQUEB9fT3V1dU4HI5Jy8LHky+Z1rWX6kI3Q+Xl5bS1tdHZ2TnrcUBzFct+TOlcXoSTYCRNmaFLYDYXmxmOIxZmuEOZq46ODtrb2ykpKeHSpUt4vV7KysoYHh4mLy9PX6XVZrOxdu1aBgYGWL16NcuXL9dn7BQUFLBt2zbq6uqumBq+Zs0afTO/pUuX6l1Bdrsdn8/HiRMn9Cm927dv58CBAzQ0NHDu3DkWLVqkr2kyPDysr8J6/fXXU11dPalLqKSkhLfeesvQlqx0O/9TSWifqtBsuhdffHFeFqmLJcDMhPIiRIKRNGWWLoGZLjazHId4T2ivouPHj1NQUICmaZSXl+trcxw4cIAlS5bw53/+55M2kQtfO6atrY2DBw9y3333sWvXLgA9aN21axd33nkn9fX1OBwOfD4fq1at4tChQ2RlZZGVlcXixYvx+/28++67tLW1UVlZSWtrK2VlZaxbt47Lly/jcrn0/WXq6uoidgkZfWea6PNfunzeU1paytatW/Udutvb2yMulJhoEmBGJsFImkqXJr50OY5MUloa3KvI6XRy/PhxKioqyM7Opri4mIMHD5KdnU1NTQ07d+68olncbrdz5MgRsrKysFgsNDc309TUNGmfoEceeYSPfOQj1NXV0dTURH19vb7M+w033MDZs2fp7+9n4cKFbNy4ke7ubl5++WVsNhtXXXUVDz/8MM8//zwtLS3U1tbq+8uEuoWmHosR51x40JCo81+6fK5UW1vL2rVr9fVz6uvrJy1qmAxygxWZBCNpLF2a+CIdh9zhpbbq6mq+853v8Nhjj+F0OvVxF6Ojo5SXlzM0NITb7b5iB+GPf/zjDA0N0djYiMVi0feXmXonCcE7zOXLl5Obm0tubi7FxcX09fVRUVHBypUryc7OpqioaNLdb2jTv1QOcCMFDYnY9VfuyK8UutnZt2+fPj4o2XkjN1iRSTAiUlpo6/bwpnO5wzOH8M0TPR4PTz31FMuXL6enp4cbb7yR4uLiSZsmAjgcDpYtW8b27dv1QakweTO/8PcVFBTgdDpZs2YN7e3t3HvvvTQ1NV2xsu/atWuv2Lk2Vc+ZZAUNckceWWlpKXfddde8jg9K5fPPKBKMiJTV3t6ub3RWWVnJz372M6qrq+UOz0RCha7L5WLVqlUAetdI+MaGzc3NQHDhuVBAEt4aEH4nGf77t7e3Y7fbcTgcrFq1iq1bt7J161Z9PZREd3WEJLNlLllBQyrdkaday2Yq5U2mkmBExC3ZBcqxY8fo6upi8eLFdHV1cezYMaqrq+UOz4QiFfYul0v/HUPdMdH2Kgpfrbe4uFh/36pVq9ixY8cVi7ABSenqgOS3zCWzYkyFO/JUbdlMhbzJZBKMiLjEW6DEEsBs2LCByspKvWVkw4YNgNzFmNXUwn7q7whE/U2nnm/RApCQZLaezUfLXDpXjEa3bKZaq4wIkmBExCWeAiXWACbaCpwwt0WkzFAQmSWdcxUpQIlk6vnmdrunbelIZuuZtMzNjZH5l6qtMvMh1csUCUZEXOIpUEIVysKFC2loaND3IpnO1BU458IsBZFZ0jmfYj3fkt3VIS1z8TMy/4xulTGKGcoUCUZEVDPtCRNrgWLUiochZimIzJLO+RTP+ZbMro507kaZD0blX6a2apmhTJFgREQ0m0g61gJl6oqHDodjXi8KsxREZknnfJMAIDFSvbl+NuI9hkxt1TJDmSLBiIgoWZF0aMVDIy4KsxREZklnOkqHino6Zmiun8lcjyETg1ozlCkSjIiI0nWtA7MURGZJZzpJh4p6JmZorp9JOhyDEVK9TJFgRESU7msdCDGVGSq5ubbcmKG5fibpcAziSkrTNKPTkNKUUkWA2+12U1RUZHRyhBBJkuotI4lKXzp0RaXDMWQKj8dDcXExQLGmaZ5or5OWESGEwPguxJnM1HIz2wo6HVom0+EYxGQSjAghxIRUruSm655I9VYdIWYiwYgQQpjAdC03Zhjvkuqk68dYEowIYRJSWIpoLTcyqHNupGXJeBKMpCCpdMRUUliK6cz3eJd0K6OkZcl4EoykGKl0RCSZXlimW+WXDPM13iUdyyhpWTKeBCMpJtMrHRFZJheW6Vj5RWKWgCsdy6hUn0mVCSQYSTEzjZiXiyUzZXJhOZvKz+zXhpkCrnQNjFN5JlUmkGAkxUSrdMxUWInkyJTCcmpgMVPll6rXRiwBkplaGzI5MBbJI8FICopU6ZipsBIiXtECi+kqv1S8NmINkIxsbYinVSlTAmMxfyQYMYl0bRoVIly0wGK6yi8Vr41YAySjWhtStVUpxOzdb2L2TBOMKKXswPeAjwIB4OfATk3ThmbxXgW8BHwYuF/TtF8mMalJIU2jIhPEE1ik4rUR73HMd9pTsVUpJJUDJQmSEs80wQjwU6AcuBOwAj8G/gnYNov3fgEw/Y6A0jQq0sF0BXm8gUWqXRupGCBFkoqtSiHhgVJLSwv79u3jrrvuMjwvUzlIMjNTBCNKqVUEWzXWa5r25sRjnwNeUkp9UdO0C9O8dw3w34F1QPcsvisHyAl7qHAOSRdChJlNQZ5qgUW8zHAcqRw0hQKllpYWent7qa+v56233jK88k/l1iQzsxidgFnaCAyEApEJvyPYXXNztDcppRYA9cDfaZrWM8vv+jLgDvvriivFQqQgl8tFY2MjLpfLkO+PVJDPldHHZHalpaWsWbMm5SrUUKC0bds2lixZQnV1dcLOmbkIBUkOhyPlWpPMzBQtI8BS4GL4A5qmjSulnBPPRfOPwCFN034Vw3d9A9gT9u9CJCCZFelHTW2p0Lyc6G6BVDgmkTylpaXcddddvPXWWynTlZTKrUlmZmgwopR6EnhkhpetivOz7wU2AzfG8j5N07yAN+xz4vn6jCOVQupLheblqQU5QGNjY9yFeiock0iuVKz8zdAFZzZGt4w8BTw3w2vOAj1AWfiDSqlswD7xXCSbgZXAwJSA4udKqQOapt0eR3pFFFIppL5UGawYKsgTEcCmyjGJ5JLKP/0ZGoxomtYH9M30OqXUYaBEKbVW07SGiYc3ExzzcjTK254E/u+Ux5qAvwf+I74Up4dkdKdIpZD6Uu0OMxEBbKodkxAiPka3jMyKpmktSqlXgGeVUg8RnNr7feD50EwapdQyYD/wN5qmHZsYsDqp1WSiheS8pmnt83oAKSRZ3SnJqhQycRxKMo85le4wExXAptIxCSHiY4pgZMInCAYg+3lv0bPPhz1vBWqABfOfNPNIZndKoiuFTByHkknHLK0aIl6ZeJOS7kwTjGia5mSaBc40TTsHTDvaVNO0jB+NaqbulEwch5Jpx5zprRpSqcYukwL2TGKaYEQkhpnuRs0UOCVKJh5zppJKNT6ZFrBnCglGMpBZ7kbNFDglSiYec6aSSjU+ErDPzIwtbhKMiJRmlsApkTLxmDORVKrxMXKHYzNU8GZtcZNgRJiWWQoHISJJh1Ywo67B+Q7YzVTBm7XFTYIRYUpmKhyEiMbMrWCZdA2aqYI3a4ubBCPClMxUOAiRjjLpGjRTBW/WFjcJRoQpmalwECIdZdI1aLYK3owtbkrTNKPTkNKUUkWA2+12U1RUZHRyRBgZMyKEseQaFDPxeDwUFxcDFGua5on2OmkZEaZlxug/2aRyEPNJrkGRKBKMCBGjRFb4if6sTBlQKIRILxKMCBGDRFb4iQ4eMmlAoRAivViMToBIPS6Xi8bGRlwul9FJSTmRKnwjPivSbxQaUOhwONJ+QKGITK5dYVbSMiImkab+6SVyBkG8nxXtNzLbiH+RWHLtCjOTYERMIk3900tkhR/vZ033G8mAwswl164wMwlGxCSZtHZAvBJZ4cfzWfIbiUiMPi9kJpeYC1lnZAaZuM6IFCqpT36j2GRKfhl1nNJFJKKRdUZE3KSpP/XJbzT7ijeeitKswYtR54V0EYm5kmBECGE6sQQYsVaUsXy2WYOWRDO6i0iYnwQjQpiAVHqTxRJgxFpRzvazpWviPTKTS8yVBCNCpDi5U79SLAFGrBXlbD9buiYmk65DMRcSjAiR4tLxTn2uQVOsAUYsFeVsP1u6JoRIHAlGhEhx6XannqigKZl34rP5bOmaECJxJBgRIsWl2526WYKm2ZCuCSESQ4IRIUwgne7UzRI0CSHmjyx6NoNMXPRMiGTLlIG2QmQ6WfRMCJGypHtDCBHOYnQChBBCCJHZJBgRQgghhKEkGBFCCCGEoSQYEUIIIYShJBgRQgghhKEkGBFCCCGEoSQYEUIIIYShJBgRQgghhKEkGBFCCCGEoSQYEUIIIYShJBgRQgghhKEkGBFCCCGEoWSjvFnyeKJuNiiEEEKICGZbdypN05KcFHNTSi0DuoxOhxBCCGFilZqmOaI9KcHIDJRSCqgABo1OSxIVEgy4Kknv40wkybP4SL7FTvIsdpJn8UlWvhUCF7RpAg7pppnBROZFjebSQTDeAmBQ0zTpj5oFybP4SL7FTvIsdpJn8Ulivs34WTKAVQghhBCGkmBECCGEEIaSYEQAeIGvTfxXzI7kWXwk32IneRY7ybP4GJZvMoBVCCGEEIaSlhEhhBBCGEqCESGEEEIYSoIRIYQQQhhKghEhhBBCGEqCkQyllLIrpX6qlPIopQaUUj9SShXM8r1KKfWyUkpTSt2X5KSmjFjzbOL131NKnVJKXVZKnVdKfVcpVTyf6Z5vSqm/U0qdU0qNKqWOKqU2zPD6v1BKnZx4fZNS6p75SmuqiCXPlFKfUUodUEq5Jv5+N1Mep6NYz7Ow9z0wUXb9MslJTElxXJ8lSqkfKKW6lVJepVRrMq5RCUYy10+B1cCdwBZgE/BPs3zvF4BMnIYVa55VTPx9Ebge2A58GPhRUlNpIKXUXwF7CE4PvAl4G3hVKVUW5fV1wM8I5smNwC+BXyqlrp+XBKeAWPMMuJ1gnn0Q2Ah0Avsm9tHKCHHkWeh9VwHfBg4kO42pKI7r0wa8BlwFfByoAT5DMlYl1zRN/jLsD1hFMJhYF/bYh4EAUDHDe9cQ3Ltg6cRn3Gf08aR6nk35nL8gOIc/2+hjSlI+HQW+H/Zvy0TB9aUor/934DdTHjsC/NDoY0nVPIvw/iyCy23/jdHHksp5NpFPB4G/BZ4Dfmn0caR6vgEPAW2ANdlpk5aRzLQRGNA07c2wx35HsGK9OdqblFILgHrg7zRN60luElNOXHkWQTHg0TRtPJGJSwUTd1FrCeYLAJqmBSb+vTHK2zaGv37Cq9O8Pq3EmWdTLQCsgDPhCUxBc8izR4GLmqalbcvkdOLMt3uBw8APlFK9Sql3lVL/UymVlej0yUZ5mWkpcDH8AU3TxpVSzonnovlH4JCmab9KZuJSVLx5plNKLQL+F7PvDjObRQTvPnunPN4LXBflPUujvH5WeZoG4smzqf43cIErg7p0FXOeKaX+nGCLyJqkpiy1xXOuvQ/YTLCL+h7gauD/EAx+v5bIxEnLSBpRSj05MTBrur/ZFnBTP/tegiflFxKaaIMlM8+mfE8R8FvgBPAPc/08IQCUUl8CHgDu1zRt1Oj0pCKlVCHwE+Azmqb1G50ek7EQvAn7b5qmNWia9u/AboLdNwklLSPp5SmCfaHTOQv0AJMGLCmlsgH7xHORbAZWAgNh20wD/FwpdUDTtNvjSG8qSGaehV5XCLwCDBKsNMbiTWyK6wf8wJIpjy8heh71xPj6dBNPngGglPoi8CXgDk3T3klO8lJSrHm2kuAAzP8IK7ssAEqpcaBG07S2pKQ0tcRzrnUDY5qm+cMeawGWKqVsmqb5EpU4aRlJI5qm9WmadnKGPx/BPsASpdTasLdvJng+HI3y8U8CNxBs5gz9Afw98MkkHM68SHKehVpE9gE+4N50vnudyKcG4EOhx5RSlol/H47ytsPhr59w5zSvTytx5hlKqf9BsMvvw1PGMaW9OPLsJFDL5LLr18DrE//fmcTkpow4z7WDwNUTrwu5FuhOZCASSqD8ZeAf8DLwJ2AD8AGgFagPe34ZwYt4wzSfkTGzaeLJM6CI4MyQdwjenS0N+8sy+niSlEd/BYwC/5XgDKS9gAtYMvH8vwLfCHt9HTAG/HeC/db/QDBwu97oY0nhPHuE4Iys/zzlnCow+lhSNc8ivP85MnM2Tazn2nKCM7W+RzAI+QjBMSZfSXTapJsmc30C+D6wn+CMkJ8Dnw973kpwTvmC+U9ayoo1z27ivZk2Z6Z8VjVwLlkJNYqmaf+ulFoMPEawgmwkePceGjS3gmDehV5/SCm1Dfg68ARwmmCA++68JtxAseYZ8FnABrww5aO+RoaMR4ojzwRxXZ+dSqn/RHDywjsEpwE/TXDQdEKpiehHCCGEEMIQMmZECCGEEIaSYEQIIYQQhpJgRAghhBCGkmBECCGEEIaSYEQIIYQQhpJgRAghhBCGkmBECCGEEIaSYEQIIYQQhpJgRAghhBCGkmBECGEqSqkspdQhpdSLUx4vVkp1KqV2G5U2IUR8ZDl4IYTpKKWuJbivxmc0TfvpxGP/CrwfWK8lekdRIURSSTAihDAlpdTnCW4Mt5rgTsr/j2Ag8raR6RJCxE6CESGEKSmlFPB7wA/UAt/TNO3rxqZKCBEPCUaEEKallLoOaAGagJs0TRs3OElCiDjIAFYhhJl9ChgBqoFKg9MihIiTtIwIIUxJKVUH/BG4C/jqxMN3aFKoCWE60jIihDAdpdQC4DngGU3TXgf+luAg1oeMTJcQIj4SjAghzOgbgAK+BKBp2jngi8A3lVJXGZcsIUQ8pJtGCGEqSqnbgP3A7ZqmvTHluVeBbKS7RghTkWBECCGEEIaSbhohhBBCGEqCESGEEEIYSoIRIYQQQhhKghEhhBBCGEqCESGEEEIYSoIRIYQQQhhKghEhhBBCGEqCESGEEEIYSoIRIYQQQhhKghEhhBBCGEqCESGEEEIY6v8DoDWuuPgJSUoAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(6, 5), dpi=100)\n", + "\n", + "ax.scatter(data[:, 0], data[:, 1], s=3, c='k', alpha=0.5)\n", + "ax.set(xlabel='X', ylabel='Y')\n", + "\n", + "fig.savefig(\"plots/base_data.png\")" + ] + }, + { + "cell_type": "markdown", + "id": "f498b775-b0c2-41d0-b73b-04b2bd82035c", + "metadata": {}, + "source": [ + "There are various \"stringy\" clusters, including a less dense one in the top-left and a more circular one in the middle. Also note that there are many \"noise points\"." + ] + }, + { + "cell_type": "markdown", + "id": "c9f27918-7f61-4e5e-8e4d-c4d1c1d3ba42", + "metadata": {}, + "source": [ + "## Helper function\n", + "Everything I'll use here uses the standard scikit-learn API, so we can write a function to automate this for us!" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "02503cbf-f2d7-4394-8064-89075d376d40", + "metadata": {}, + "outputs": [], + "source": [ + "def run_clustering_algorithm(data, algorithm, savename=None, close_fig=False, plot_kwargs=None, \n", + " scatter_kwargs=None, legend=True, *args, **kwargs):\n", + " # Run the clustering\n", + " print(\"Running clustering algorithm!\")\n", + " \n", + " start_time = time.time()\n", + " clusterer = algorithm(*args, **kwargs)\n", + " labels = clusterer.fit_predict(data)\n", + " run_time = time.time() - start_time\n", + " \n", + " print(f\" clustering took {run_time:.4f} seconds\")\n", + " \n", + " # Plot the results\n", + " print(\"Plotting results!\")\n", + " \n", + " # Set default plot size etc.\n", + " final_plot_kwargs = dict(figsize=(6, 5), dpi=100)\n", + " if plot_kwargs is not None:\n", + " final_plot_kwargs.update(plot_kwargs)\n", + " \n", + " # Make the plot!\n", + " fig, ax = plt.subplots(**final_plot_kwargs)\n", + " \n", + " # Cycle over all clusters, plotting points \n", + " for a_label in np.unique(labels):\n", + " matching_labels = labels == a_label\n", + " \n", + " # Special case for noise points, otherwise plot normally\n", + " if a_label == -1:\n", + " ax.scatter(data[matching_labels, 0], data[matching_labels, 1], \n", + " s=3, c='k', alpha=0.5, label='Unclustered')\n", + " else:\n", + " ax.scatter(data[matching_labels, 0], data[matching_labels, 1], \n", + " s=3, label=a_label)\n", + " \n", + " # Legend, if desired\n", + " if legend:\n", + " ax.legend(edgecolor='k', fontsize=8)\n", + " \n", + " # Other beautification\n", + " ax.set(title=f\"{algorithm.__name__} ({run_time:.4f} s)\", \n", + " xlabel='X', ylabel='Y')\n", + " \n", + " # Save, if desired\n", + " if savename is not None:\n", + " fig.savefig(\"plots/\" + savename, bbox_inches=\"tight\")\n", + " \n", + " # Close the on quit, if desired\n", + " if close_fig:\n", + " plt.close(fig)" + ] + }, + { + "cell_type": "markdown", + "id": "77308ece-0065-4dc3-ac54-aaaa20d83d7f", + "metadata": {}, + "source": [ + "## The clustering algorithms\n", + "Let's try various algorithms! Feel free to play around with the parameters." + ] + }, + { + "cell_type": "markdown", + "id": "8fff2b10-7728-435b-9a00-a3329d2759a2", + "metadata": {}, + "source": [ + "### K-Means\n", + "The archetypal (and most simple) clustering algorithm..." + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "id": "b7be2339-4e15-4503-9954-3af79eda0881", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.1007 seconds\n", + "Plotting results!\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAHPCAYAAACBRNrVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAA9hAAAPYQGoP6dpAAC68UlEQVR4nOydeZwU5Z3/30/33DAMDDDAMA63ICCCCIKJxDNq8IhH4hHNajZRE7Ob7OYw5jTZTTTHz2QTTUyyUWOixqxHPPCIeKFyihxyyj0OAwznHMzV0/38/qipmqrqqu7qu3rmeb9evqCr63iqZuT7qe8ppJQoFAqFQqFQ5IpArhegUCgUCoWif6PEiEKhUCgUipyixIhCoVAoFIqcosSIQqFQKBSKnKLEiEKhUCgUipyixIhCoVAoFIqcosSIQqFQKBSKnKLEiEKhUCgUipyixIhCoVAoFIqcosSIQqHIK4QQnxZCHBFCDMz1WvIBIcRQIcRxIcQncr0WhcINJUYUCp8hhLhRCCGFEKfZtlcIIVYKITqEEBf2bLuzZ9+IEOIEh3MNEkK09+xzb7buIVMIIYLAD4HfSClbbd+dIYR4WwjRJoTYL4T4tVfBIoT4ohDi/4QQdT3P6qEY+w4WQvxBCHGwx8i/LoQ41WXfS4UQ7/X8zOqEED8UQhTY9nmj55pO/4W8rD8WUsrDwP8C/5XquRSKTKHEiEKRBwghBgH/BGYAl0spX7Lt0glc63DoFZleW5a5BJgM/MG8UQgxE3gVKAP+E8343gz8n8fz3g6cA2wEut12EkIEgEXAdcC9wDeBKuANIcQk274XAf8AjgH/1vP37wK/sZ32x8ANtv9u7fnunx7XH4/7gVOFEOek6XwKRVopiL+LQqHIJUKIcuBlYCZwhZTyRYfdXkATIz+zbb8OzXhemck1ZpGbgHeklHtt238CHAXOklI2AwghdgN/FEJ8XEoZz6h/DKiTUkohRGuM/a4CzgA+JaV8ouc6fwc+QPPYXGfa9xfAeuDjUsrunn2bgW8LIf5HSrkFQEr5iv0iQojre/76SJx1e0JKuVkIsQG4EXgtHedUKNKJ8owoFD6mJ8zwEnAqcKWUcpHLro8CM4UQU0zHjkR723/U5dzFPWGD7UKITiHEh0KInwkhim373SSEeE0I0diz3yYhxBcdzrdbCPG8EOKjpnDSTiHEZ237FQohfiCE2Nazz+Ge8Mr5cZ5FCXAhsNi2fRBwPvBXXYj08DDQCnw61nkBpJR7pLcR5lcBB4CnTMceBP4OXKY/OyHEVGAq8AddiPTwW0D0nCcW1wHHgWfiLUgIcZoQ4mUhxKGekNwuIcQDDru+AlwihBDxzqlQZBslRhQK/zIAeBGYg/Ym/nyMfZcA9VjfzK9GM8ZRAqYn3PAs8HXgOXrDCP8BPG7b/YvAHjTvw9eAD4HfCiFuc1jHROAJNMP3NTRvxUNCiGmmfe4EfgC8DnwZLUxRhya4YjEbKALes20/Gc3L+655o5SyC1gLzIpz3kSYBbwnpYzYtq9ECxGdaNoPhzU1oP2cXNckhBiOJq7+IaU8HmsxQogqtFDOWOButJ/jI8A8h91XA4OBaQ7fKRQ5RYVpFAr/8megGk2IPBtnXwn8DS1U8/2ebZ8BnpJSdjq8DF8HnAd8TEr5tr6xx5V/vxDiDCnl0p7NH5NStpuOvVcI8RJabsZ9tvNOBhZIKd/qOd/f0cTLTWjCB2Ah8IKU8uY492RH9/rssm0f1fPnPodj9gFnJnidWIxCE35O1wHt5/W+hzVVx7jG1Wj/NnsJ0ZwBDEELBZmFz3cd9t3Z8+dUYIOHcysUWUN5RhQK/zIC6EAz5l54FJgohJgjhJiI5lFxDNEAnwI2A1uEEMP0/+jNJzhb39EsRHoqeoYBbwLjhRAVtvNu0oVIz7EHga3AeNM+x4Bp9oRPDwzt+fOobXtpz5+dDsd0mL5PB6UxrmNeSyprug44iOZdisexnj8vFkIUxtlXf27DPJxXocgqSowoFP7lFqALeEkIMTnezlLKNcAWNGP2GWA/7smKk9Dc9Qdt/33Q832VvqMQ4iNCiMVCiONoxu8gWsgGwC5G6hyudRTt7V3n+2jhgg+EEO8LIX4uhJgR7/5M2N08ulgqtu8IlJi+TwftMa5jXktSaxJCjAfmA4/bck3ceBN4Ei3sdUgI8UxPjo/TdfXn5iU3RqHIKkqMKBT+ZRPwCbS36FeEQx8RBx5Fc/Nfh2bQ7LkNOgG0cML5Lv/9FkAIMQGtZHYYWlhmYc/3vzSdx0zY5XqGgJBSLgEmAJ9DCxd8HnhPCPH5OPd2uOfPIbbteihkFNGMAhrinDcR9sW4DqZrJbsmPefHUxWN1LgKTcDcC4wGHgBWO/RY0Z/bIS/nViiyiRIjCoWPkVKuBD6J5ql4pSe5MRaPohm7E3EP0QDsACqBV6WUix3+29qz3yVob/eXSil/L6V8QUq5mBS9DVLKI1LKB6WU1wInoJXA3hnnsC09f46zbd+A1hvE3iSuCK0cem0qa7WxFq1fh/3fztOBNno9S/o17WuqBmpirOk6YIeUcnkii5JSLpdSfkdKeRqaV2wacI1tN/25bU7k3ApFNlBiRKHwOVLKV9ESUyeihWwGxdh3B/BV4I4eIePG39Heor9g/0IIUSqEGNDzUfd0CNP3FWgJqUkhhBhq/tzTSXU7ziENM6vRwlYWAy+lbEIr972+pyeLzg3AQEyNz4QQZUKIKT15L8nwBFouj9FMrudcnwKek1J29qxpI5p4ulloXWN1vogWJnnCfmIhxCzgJGKLSPsxQxxKddf2/Gl/nrOBJrTGbgqFr1DVNApFHiClfFoI8QU0F/yzQogLpZQdLvv+j4dT/gWt/8b9QoizgXeAIFrFyqeBC9DKUv+JJgCeE0L8Hs24fwFoxDkE4YVNQog30MTFETRxcRVamMEVKWWHEOKfaFVA37d9/R1gKfCmEOIPaN6HrwH/tHWrnYtWUvxDTJ4YIcQlwCk9HwuBGUIIvSLlWSnl+p6/PwEsBx7s6SVyCPgS2rP7gW1N30Arn/6nEOJvwHS0Uub/lVI6eSc+0/NnIo3O/gX4khDiaTRvVznaz6cZrRGemfPRBJPKGVH4Dyml+k/9p/7z0X9oXTIlcJrDd1/r+e45tJeJO3s+D4tzTgnca9tWiNbOfANahccRNAHyfWCQab9LgHVooZldPcfc1HPOsab9dgPPO1z7DeAN0+fvACvQElvb0MIG3wYKPTyby4EIcILDdx9FE1XtaGLpXqDcts9ZPeu+07b9oZ7tTv/daNt3CFq7+UNojcnecPpZ9ez7SWANvVVR/+V0n2he6npgdYK/K7PQPCl7eq5xoOd3Y7Ztvyk993Jurn+/1X/qP6f/hJRKJCsUivygJ+SxCfi7lPJ7uV5PviCE+BWwAE2kqH/0Fb5DiRGFQpFXCCGuBn4H1Erb5F5FND05OnuAT0sp7aEbhcIXKDGiUCgUCoUip6hqGoVCoVAoFDlFiRGFQqFQKBQ5RYkRhUKhUCgUOUWJEYVCoVAoFDlFNT2LQ093w2qgJddrUSgUCoUiDykHGmKVlSsxEp9qtGZECoVCoVAokqMG2Ov2pRIj8WkB+PDDDxk0yHUkiEKhUCgUChvNzc2ccMIJECe6oMSIRwYNGqTEiEKhUCgUGUAlsCoUCoVCocgpSowoFAqFQqHIKSpMkwKRSIRDhw5x7NgxIpFIrpcTl0AgQHV1NQMHDsz1UhQKhUKhMFBiJEn27t3LD3/4Q957771cLyUhioqKuOeee5g3b16ul6JQKBQKBaAG5cVFCDEIaGpqajISWLu6ujjvvPMYPHgwt912GzU1NQSDwdwu1AOhUIg//vGPvPvuu/zzn/9UHhKFQqFQZJTm5mYqKioAKqSUzW77Kc9IEuzZs4e2tjZ+/etfM3PmzFwvJyG+8IUvsHTpUhoaGjjxxBNzvRyFQqFQKFQCazKEw2EASkpKcrySxCksLATIixwXhUKhUPQPlBjpY2zbto0zzjiDE088kTlz5rBx48ZcL0mhUCgUipgoMdLHuOWWW7j55pv54IMPuP3227nxxhtzvSSFQqFQKGKixEgforGxkXfffZfrr78egCuvvJIPP/yQ7du353hlCoVCoVC4o8RIDmhoCvHSpmYamkJpPe+HH37IqFGjKCjQ8pKFENTW1lJXV5fW6ygUCoVCkU5UNU2WaWgK8bm/7qGjW1JSIHjg+jFUVxTmelkKhUKhUOQM5RnJMuv3ttPRrfV26eiWrN/bnrZzn3DCCezbt4/u7m4ApJTU1dVRW1ubtmsoFGYy5eVTKBT9CyVGssyM0aWUFAgASgoEM0aXpu3cVVVVnHrqqfz1r38F4Mknn6SmpoaJEyem7RoKhY7u5bv7lQN87q97lCBRKBRJo8I0Waa6opAHrh/D+r3tzBhdmvYQze9//3tuvPFGfvKTnzBo0CAefPDBtJ5fodBx8vKpkKNCoUgGJUZyQHVFYcb+0Z48eTLLli3LyLkVCjO6l0/Pf0qnl0+hUPQvlBhRKBRJkWkvn0Kh6D8oMaJQKJImk14+hULRf1AJrAqFQqFQKHKKEiMKhUKhUChyihIjCoVCoVAocooSIwqFQqFQKHKKEiMKhUKhUChyihIjfYh///d/Z+zYsQghWLt2ba6Xo1AoFAqFJ5QY6UNcddVVvP3224wZMybXS1H0U9SsGoVCkQyqz0gfYsGCBblegiJJGppCed88TE2kVigUyaLESC5o3QWHlsGw+TBwXK5Xo8gxfcWIq1k1CoUiWZQYyTatu+DlMyDcBsEyuGCpEiT9nL5ixNWsGoVCkSxKjGSbQ8s0IQLan4eWKTHSz+krRlzNqlEoFMmSd2JECHEb8A1gJLAO+Dcp5coY+w8GfgxcAVQCe4CvSilfyPxqHRg2X/OI6J6RYfNzsgyFf+hLRlzNqlEoFMmQV2JECHE1cA9wK7AC+CrwshBispSy0WH/IuAVoBG4CtgLjAGOZWnJ0Qwcp4VmMpAzcsstt7Bo0SL279/PBRdcQHl5Odu3b0/b+RWZQxlxhULRn8krMQL8J/BHKeWDAEKIW4GFwOeAux32/xyaN+QMKaVea7g7C+uMzcBxGQnN/P73v0/7ORXppy9UzigUCkU6yZs+Iz1ejtnAYn2blDLS89kt1nEpsAy4TwhxQAixQQjxbSFEMOMLVigc0Ctn7n7lAJ/76x5LPw7Vo0OhUPRX8skzMgwIAgds2w8AU1yOGQ+cAzwCfAKYCPwWKAR+6HSAEKIYKDZtKk9+yQqFFbfKmWyX9+a7dybf169QKKzkkxhJhgBavsjNUsowsFoIMRotAdZRjAB3AD/I0vryAvUPf/pwq5zJZnlvvvc1yff1KxSKaPJJjBwCwsAI2/YRwH6XY/YBoR4horMZGCmEKJJSdjkccxdakqxOOVCf3JLzH/UPf3pxq5zJZnlvvvc1yff1Z5vWQwc4tH0rwyZOZuAw+z+fCoU/yBsxIqXsEkKsBs4F/gEghAj0fL7X5bB3gOuEEIGe/BKAE4F9LkIEKWUn0Kl/FkKk5wbyFPUPf/pxqpzJZnlvssLHLx6yvtKXJRu0HjrAyz/5FuGuToJFxVzw7buVIFH4krwRIz3cA/xZCPEusBKttHcAoFfXPAzslVLe0bP/74AvA/8jhPgNMAn4NvDrLK87b1H/8GePbJX3JiN8/OQh60t9WTLNoe1bCXdp71bhrk4Obd+qxIjCl+SVGJFSPi6EGA78CK3p2VrgQimlntRaC0RM+38ohLgA+CWwHq3PyP8AP83murNFR0cH11xzDZs2baK0tJSqqip+97vfMXHixKTPqf7hzz7Z8EAkKnz85iFTfVm8MWziZIJFxYZnZNjEyblekiJH+D1cl1diBEBKeS8uYRkp5VkO25YB8zK8LN9w8803c9FFFyGE4N577+Xzn/88b7zxRkrnVP/wZw8/eSDMKA9ZfjJw2Agu+PbdvjZCisyTD+G6vBMjCndKSkr4xCc+YXyeN28ev/jFL3K4IkWi5MoDEc8bozxk+cvAYSN8Z3gU2SUfwnVKjOSA9rqdHFv5FoPnnklp7fiMXed//ud/uOyyyzJ2foU3Egm75MID4dUbk08eMr8k2yoUfiAfwnVKjGSZ9rqdrLhgBpH2NgKlZZz+8vqMCJKf/OQnbN++nVdffTXt51Z4J9GwSyoeiGQNsN/yQVLFr6GufMHvuQWKxMmHcJ0SI1nm2Mq3iLS3ARBpb+PYyrfSLkZ+8Ytf8NRTT7F48WLKysrSem5FYiRj6JPxQKRigPtaPkhfE1fZJB9yCxTJ4fdwXd7MpukrDJ57JoFSTSAESssYPPfMtJ7/nnvu4bHHHuOVV15h8ODBaT13uuiLM1jc7kk39EBGDb3dAC/Z3ur5WN0b863zR/QJL0K2nnlfxCm3QKHIBsozkmVKa8dz+svrM5IzUl9fz9e+9jXGjx/P2WefDUBxcTErVqxI2zVSpS+60GPdk9ewS6o5DjNGl1JcIOjsESQPLDvEgokDPZ8rn/JB4qGSbaPxGnrJh9yC/kiyobN8CrkpMZIDSmvHZyRPpKamBill2s+bTvqiCz3ePcUz9OkQaNUVhdx0eiX3v3MYgK4wfeLZJktfElepkkjoJR9yC/obyYbO8i3kpsI0iqzSF13oqd6Tk5hJhgWTyn35bPtiWC6fSDT0MnDYCMbOW+Brw9Wf8PLzaz10gN3Ll9B66EBCx/kJ5RlRZJW+6EJP9Z7SlUDqx2fbF8Ny+Ua+hV7yKbSQDeL9/Nw8IPn2c1diRJF1+qILPZV7SqeI8Nuz7SthuXw2kPkUesm30EI2iPfzc2tolk8/d1BiRKHwBX4TEelqGtYXyob7goH0e1mnTj50Cs0FsX5+sTwg+fJzByVGFAqFjXSGVvwYOkoUZSCzR76FFvxAvnlA3FBiRKFQWEh3aMVvXp9E8aOBzOewUSz6imHNNvnkAXFDiRGFIk/J1PyVvhBaSSd+M5B9IWwUi3Qb1r4q3PoaSoz0MT7+8Y+zf/9+AoEA5eXl/PrXv2bWrFkJnUMNGcss6Xi+maxS6QuhlXTjpzdPFTbyTl8Vbn1RYCkx0sf4+9//brSBf/rpp7nxxhtZt26d5+P9VIrZF0VRup5vpqtU8j200pdRYSPv5JNw8/oM+6rAUmKkj6ELka7uCPsOHgVEQsf7pRQzltHOZ5GSrufrh1BKPv8c8hkVNvKOH4WbE4k8w3wSWImgxEgOaGppYd/BRkYNr6KivDzt57/++ht49fXXAfjDI/+gqztCUYG3Zrt+MHLgbrT95LlJBr81OEtWUOT7zyHf8XvYSN+ea7HkN+HmRiICI18EVqIoMZJlmlpa+Nui5+gOhykIBrlm4SVpFyT3/fEh9jeHePrxv/KL//ouC55fRJHHn7Rf8gXcjLZfPDfJ4qcGZ6kIinz/OSjSh904llUO9ZWnxE/CzY1EBEamBFauQ21KjGSZfQcb6Q6HAegOh9l3sDHtYqS0UCAEXH719dx5+7/R1nyEitLhno/3Q76Am9H2i+cmFTL9fL16O1IRFH3h56BID3bj2FfDCJkkUYGRiYqjXAtIJUayzKjhVRQEg4ZnZNTwqrSd+9ixY7S1tVFdXc3YyiL+78l/MGzoUEZWDUvbNRIh1ZwCJ6PtF8+NX0nE25GKoFA/B4UZu3Hsi2GETJNLD44fBKQSI1mmorycaxZekpGckaamJj71qU/R3t5OIBBg+PDhPP/88wiRWBJrOsh06akyfs4k4u1IVVCon0PmyLXLPBWc3vLz+X76A37IQ1FiJAdUlJdnJHF1zJgxrFy5Mu3nTQaVU5AbEvV2uAmK/lAp49d79IPLPFXMb/l94X76On5I9FViRJER/JZT4FfDk27SET7pD5Uyfr5HP7jM04nf7kd5aZzJdaKvEiN5Rld3hPaQpLRQeC7X9UK6jbWfcgr8bHhSIVMCqz94tfx8j35wmacTP92P8tL4FyVG8oiu7gi7j3QhJQgBYyuL0iJIMmWs/ZJTkA3Dk23Pi9vPLB0/S795teKRzLP38z36wWWeTvx0P37z0qSTfPf4KDGSR7SHJFKzqUipffbaPyQWfn5LTAeZNjy58LzYf2ZLtrUwuKyAY23dKf8s/eTVikeyz97v95hrl3m6SfV+0mVo/eSlSSd9weOjxEgeofcP0T0jpYXpqZLx81tiOsi04cmFmDP/zIqC8OCKI3R2S4oLBEVB6AqTcodXvxloJ9xEmZefc77cY38nnYbWT16adNIXPD5KjOQRRQUBxlYWpT1nxO9viekgk4YnF2LO/DM71h7m/rcPAdDZLbn1o8MYXBrssz9LM26irC/lBvV30m1o+5rXCfqGx0eJER8SK0m1qCCQUmhGO3eExpYQU0zb1Vti8uRKzOk/s4amEA8tP2yIoQUTB/abn6WbKOuL4cb+Sl8wtJmmL3h8lBjxGelIUn3wwQf53Oc+x9NPP80nP/lJy7n3NoVo7gjz7Wcb+PuJU9Q/1mkiXWLOKRkzXoJmf/BsxcJNlPW1cGN/pS8Y2myQ7x4fJUZ8RqpJqrt37+aPf/wj8+bNczw3PefuCqs3R7/hlIwJeErQVJ4tJcoyQazEUbfvMlHVke+GVhEfJUZ8RipJqpFIhM9//vP85je/4Wtf+5rjuek5XVEw+s2xvzQGM+One3ZKhNX/bt6W63X6GSXK0kesxFG37/pCVYciNygxkgOO1rdRt/oItbMrGVJTZvkulSTVe+65h4985CPMnj3b8fuiggCjKwoZVBLkJ5dWW/7R7quNwWKR63u2CyG3RNhMJMeuqW9j8ZYWzptSzizb76BCAbETR92+6wtVHYrcoMRIljla38YfrnibUEeYwpIgNz/1UUdBkmiS6oYNG3jyySdZsmRJzP2KCgKUFgaoKrca3b7ea8SJdN5zoh6WhqYQN/5lN11hKArCQzeMdQ0zpDv0sKa+jf94ci8AizY288srRytBoogiVuKo23cq2VSRLEqMZJm61UcIdYQBCHWEqVt9JEqMJMPrb7zJrl27mTRpEgD79+/n5ptvZt++fXzxi1+Me3xf7zXiRLruORkPy5JtLXRpvwZ0hbXP15xW6RhmSHfoYfGWlqjPSowonJj2iStACmpmzbF4ONySSlWyqSJZlBjJMrWzKyksCRqekdrZlSmfs6s7wgWf/lc+/ql/NSpwPn7eOXz1q1+1VNPEoj8m/6XrnpPysAjh+DkbOSznTSln0cZmy+dE8FOejSIz2HM/ambNidrHLalUJZsqkkGJkSwzpKaMm5/6qGvOSDI4VeAkQ39M/kvHPSfjYVkwcSAPLj9sdE1dMHFgXA9LukTArJoyfnnl6KRyRnKdZ6PIDir3Q5FtlBjJAQNGljD246PS1s7dqQLnjTfeSMu5FfGJ5WFxExDVFYU8aDvmpU3Nrh6WdIuAWTVlSYVm3LxAylviDT8OM3Nak8r9yA/8+PuULEqMZJlMTN7NVJt4hXecPCzxBIT9mFgeFrsI+OM7h/jCR4Zl3fA7rVF5S7wZBT+WvbqtSeV++B8//j6lghIjWSZTk3dTbROvSD+J5pK4eVgamkIcaw8bA/AAXt/WytJdx3kwy4bfaY2xPDr9Aa9GwY+hj1hrSkfuR196c/cbfvx9SgVlvrJMpibvKnKLU5gimVwSu7fE7HWwO7w6c2T4E/Ho9Ae8GgU/hj4yuaa+9uaeKZIVbH78fUoFJUayjN9CKirWnzpmwVBcILjp9EoWTCpPuFrH6Wdh9q50R6BAQM9Hin1i+PtjJZYZr0bBj6EPtzWlw6PR197cM0Eqgs2Pv0+poMRIDvBLSEXF+tODWTB0dkvuf+cwD604YjxPr03QnH4Wdq/DXZdVs3V/Bwh/Tef1SyVWLsR1IkbBj2Wv9jWly6PR197cM0Gqgs2Pv0/J4gOTqMgV/bHraiYwCwadRJ+n28/CyeuQjQZl+egxy6W4zjejEMvzkS6PRl97c88ESrD1osRIH2Ps2LEUFxdTWqq57++44w6uvvpqx337e6w/XeiCYcn2Vh5YdoiuMAk/z1g/i0S9DqkKiXz1mOW7uM5Wsmc8z0c6DWS+ibRsk23B5ueEYiVG8oyu7kjcfJPHH3+cmTNnxj1Xf4/1p5PqikKumT2EBRMHOlbDxHvG6fpZmIVEYQB+dnnic2fy1ajns7jOZrJnPM+H8mhkl2wJNr8nFCsxkkdkokeJX2L9fYVY1TDp9DK4Td01C4lQBL7x9F4e/uzYhK6Zr0Y9n8V1NpM9vXg+lEej7+H3hOK8EyNCiNuAbwAjgXXAv0kpV3o47hrgMeAZKeUnM7rIOCTrKvPao+Szn/0sUkrmzp3L3XffzfDhw9O0ckWiePUyeBEtuoclGIAfv3wAiJ66O2N0KQUBrfIGtD+XbG/lmtlDPK85Vr8Tvxv6fBXX2cwdUJ6PxPBzaCMR/J6fkldiRAhxNXAPcCuwAvgq8LIQYrKUsjHGcWOBXwBvZWGZMUnFVealR8mSJUuora0lFArx3e9+l3/5l3/hhRdeSPdtKGy4GWqvXoZ4osUsVoK2H7t56m51RSGfnjWYR1cf691BJj6ryMnDc9Nf9xizdLLdbK2vk22BoDwf3vB7aCMR/C5C80qMAP8J/FFK+SCAEOJWYCHwOeBupwOEEEHgEeAHwJnA4Kys1IVUXGVeepTU1tYCUFhYyFe/+lVOPPHE9C1e4YiTVwMwxImX0EE80WIWK2GbtrBP3b345ME8sfYYXWEoCsKCSYlN5XViyfZWOk3ly4l6WxTxUQLBf/g9tOEVs3dn7LwFuV6OI3kjRoQQRcBs4C59m5QyIoRYDMyPcej3gUYp5Z+EEGdmeJlxSdVVFqtHyfHjxwmFQgwePBiAxx57jFmzZqW44uTIB5e+F7zch92rsWRbCw+tOGIRJxdOHRT33LFEi1msFAU1Z0coAkVBwYhy677VFYU8dMPY9D5/u3clCW9Lpukrv3MK/5DO0Eauwj354t3JGzECDAOCwAHb9gPAFKcDhBAfBf4VmOn1IkKIYqDYtCn110oTqbrKYlXTHDhwgCuvvJJwOIyUkvHjx/Pwww+nc/meyNfSUDte78Pu1UAIx5CL2VgCjuf2Um1zrD3M/W8fAqAr7JyHEutcDU0hlmxvBSmNTrHxWDCpnAeWH06rtyWd9JXfuXymr+RWmElXaCOXgiBfvDv5JEYSQghRDvwF+IKU8lACh96BFtLJGMm6Y+NV04wfP541a9akc6lJka+loXa83ofdqwHw0PLDMSfb3jhvaMLPSBcYDU2hqPN7xZz7AfDA8sM8dEP8apuMeFvSSF/5nctXMmFs/SJu0hE+y6UgcPPu+OX56uSTGDkEhAH7UxsB7HfYfwIwFnhOCCPjLwAghOgGJkspdzgcdxdakqxOOVCf9KrTSKYm/qabfC0NtZPIfdg9EfEm2yJl0s8olRLW9XvbDSEC2hTgWIbbHvrwq4HvK79z+Uq6jW2+hBa8kstKFifvjh+frw9NmTNSyi4hxGrgXOAfAEKIQM/nex0O2QKcbNv232ji4ivAhy7X6QQ69c8mIZNz8mXibz73ezCTyn3Em2y7YFI5CyaVu547Xv5DssJgxuhSiguEIUiKgrga7nwKffSV37l8Jd3GNl9CC17JdSWL3bvjx+ebN2Kkh3uAPwsh3gVWopX2DgD06pqHgb1SyjuklB3ABvPBQohjAFJKy/Z8wW8Tf2Ph57foREjXfTiFcmIJEbMIuOuyag40dzNiUAEHmrtjGlt7Xor9GtUVhTzY07o+Xs5IvoU++srvXD6SbmPr954YyeCnaik/Pt+8EiNSyseFEMOBH6E1PVsLXCil1JNaa4FIptcRDAYB6OjoyPSlokh14m8oFAIgEPCvkMk1Tl4J+7ZkKjfMOR+xPA52EfDNp/cSMv1Wx2qKpp+3uEAgpTTm5Jj311vXx0OFPhSJkE5jm2tPQl/Hj883r8QIgJTyXpzDMkgpz4pz7I3pWMOYMWMoKyvj+9//Prfddhs1NTWGQPEzbe2d/P6Pf0QEC6murs71cnyJW88Qu6fijmcakg5fxPM4mEVAYQCLEHE7xn5ec15Isl4NFfpQ5BI/eRISxW/JoU747fnmnRjxA0VFRTz22GP88Ic/5Dvf+U6ul+OJcERy6Hg3nZECxl/2LZrDxQzM9aJ8iJNQ0P+u/7l4S0tK4YtYHgfd42IOzejCR8fNS2HPB4m1f0NTiCXbWkAIFkwcGNVtNR+SVhX+JB8McSZxSw7t788lHkqMJMno0aO5//77OXz4MEePHiUSyXh0KCXe2t7KH5cdobiiimDxAF/H/3PZvMpNKJi3nTelnFe3tiQdvog1+8XJK3Pj6ZU0dYYREgaVFkSJB/N5bzq9kvvfOWxsWzhtEJ+ZUwnAS5uajbXe+JfddIW1fR5cftho7x4rhKSaiini4ccqjWzjlBwKKIESByVGUiAQCDB8+PC8GEQ3aFSIJ/fs8X38P9cVHG5CwZ58euO8oQk1DXO6TqwwS0dPy3W9n4hOSYHmyXBjwaRyS/dXXYhYepycXmkIEdBCOo+sOsJn5lS6hpDMP5eiIHxu/jBXURQPJWr6Ln6s0sg2ZZVDEcECZLjbSA5NRKD0V5QY6SfkS/w/GxUcyZTNOiWfFhdopdVeBIkXAxzVyVVKixCB+JN/zSEe1x4nQlAUxCJIFm1s5tWtLdx1WbWjZ2jJ9lbjHF1huP/tQzy0/HDCYjHXYlORWfxYpZFNWg8d4K37f4EMdxMIFnDmrV8HoKO1iUBhEZFQV0yBosSIol+QD/H/RCo4knnDTtUY2pNE73/nMA+tOBLzPF6v6djJtcfLoWPu6Gqv7nG7RlSPk4kDWTBxIEu2tbC1sZPXt7UCmlA50NwdJVobmkI8sCy6iXEyYjHfyoUVieHHKo104SWkUr92pSEwIuFujtTt5K37f6GJs8IiZlx2HTWz5hjH92fhZkeJEYWv8OrBSVZUpGoMzYZdJ955ErmmWydXc48RiJ5r4xTiGVwaNI772rlVrK1v57wpvV6ca06rpKEpxLJdx2OKv/V72y1elIIAdEfcE2ljkWi5cD6GdPp7HoDfqjTSgZdcmNZDB9iw6Enjc7CwCKTo9X6EuigpH2Qc15eFWzIoMaLwHV48OMmKilR7Z+hiacn2Vh5Ydsjo4xHrPPZS3RGDCjwbWadnYQ+76GJFLwMuLhDG2uy8urUlqueI3RtjFzr2Z2YPAyXz/Lzcez6GdFQCZ9/EHlJZ/8zjzLjsaksSakdLM5FQl3HMxI9dCGiiJGwKz5jpi8ItWZQYUeQl8USFm7FPR+6M3jRswcSBngXFXZdVG83LvvVMg2tDMrd7gN5uqvZ7HzGogNv/oZ27QMCVMwfz6LtHHdfiJNzMgsdJ6Fw4dVBa8428hgvtglNPss2lIInn9VB5AH2TYRMnG6ICoH7NcvauW8XcG27h3cf+RLirExEMIgoKkd0hAoVFbH/zJcKhLgKFRcz45LXUzJyrfhdioMSIIi+JJSrivVEnkzvjJG7incd8zIHmbqN5mZeGZPbqFdASR4uC8NANYy33vmRbi+EF6ZZYhvDZScSLY943F/lG9pCYnmSbKw+JF69HviZwxhNZKvQ0gmmfuIr1zzxqbJORMCsevh+k9j+2DIcRQZhx2XUgJOv/8RgAkVAXJQMr+uVzSwQlRhR5i5uBTHeSZDLhAvsxXzu3yhJG0T0jxTHyNMzVKzpdYViyrYVrTuv1EDR1WuMxUkTnmniZawP+qrrS1/LIqiMs2tgM5Dbp1YvXIx/zAOKJrFyHnvwghFoPHaCzrSX6CxlBBALISK8gKSkfxLCJk9n4wlN5J0pziRIjCl+SSuJiumeqJCNu7Mf87JUDhCJQGICvn1vFzxdr45SkjPZe2O8hCtsk6YriYNTnVL0/F04dlNCxmaK6opDPzKlMqclcuvDq9ci3PIB4IiuXoadcCyH7GuwECouYc93nWfnXPxjlvGWVQ/NSlOYaJUYUviPVxMV0v90nI27c5suEIvDk2mOGt6MrjKO4cfIKgFbJYm96tmBSOQ8sP2yEcRZMKk/o/hqaQlEJuX5KFvWLt6avGBi7pyGeyMpl6MkPOTjmNdiZvvBKho6bxIlnf4IPXl9EJNzNW/f/whBN+fo7kguUGFH4jnSEWdKZ45CMMTQfY58vs+VA7z9sRUFcxU11RSHnTSnnn5ubDa/Kzy4f7ShcHrphbNxJw06YhZ9OrDyWXAkCv/TI8aOBaT10gPo1q0DIqCRJu/Bw8zTEElm5FGHZFkJOISF78qpOoLCIytrxUV6TeKLJD2EnP6LESB6jv9Gm0pbcj/hxdH0yxtB8jJOXA7S26rGEwh3PNBCKQFDAN88fwayaMk/JtGaRoYuYWTVlUdcwCz8dt+qkfCuz7Q+0HjrASz++3Sgp3bjoSS74zk9dhYebpyGeyMqVCMumEIoVEnIKpk5feCVtRw5HeU1iiSY/hJ38ihIjeUpDU4ib/rrHqMx4YPlhHrphbJ8wEJlwy2fjrT7WNfTch1e2NBshmmLbnBn78WahEJZw9z8P8H5DO4s2NBOW1nBKrGNDEfjm03v582ejfz/Mwq+4QHDT6ZWOwtaPnVPzsSFaqtjfqg9t32rpbREOdRkCw0l4pOppyMVbfbaEkJtQsz9jgECwgMra8ZRVDjOeZ6CwiOkLr4xZwuuHsJNfUWIkT1m/t91SIuqWe5CvpNMtn423ei/X0MMpS7a1gBCWQXNOx88YXWp0OwVNkDz7fq9nRRcF4NyozJ6rEis3JdG5OenyVumCwmu1j/m4/uapcXqrHjZxsjHzBLQGW7rAcBIeqXga+vpbvZtQK6scatlPBIKW3JBEnme+ln5nAyVG8pQZo0spLhCGIImVe9DfSeatPtG3bq/XqK4o5JrTKj0df+HUQXx61mAeXX3M8ZqFAe1n7nbszy4fbTRaKy4QHGvrZk19W5TR9yL8MuWtsuereBUWfvTUZBqnt+qx8xZw4Xd+6pgz4iY8kvU09PW3+oHDRnDatf/KjrdfY8JHzzHure3IYct+MqK5Ns0/A8CYxBsv3NUXkqAzgRIjeUp1RSEP9rQl72s5I6liFxLJzENJ9K07Vc+B2/EXnzyYJ0zVNzqBnhwSfV1Ox86qKePPnx1rVMrc/07vP6rJViml83fMKV/Fq7DwY15RpnF7qx44bARTzr84av90h1T6+lt94wcbWfHn3wJwaMcWSiuGUHXiNMt96x1WdcoqhybsMfJjErQfEG59DhQaQohBQFNTUxODBvmj94LCHTchkYin46VNzdz9ygHj87fOH+Gp70aqOQxu7d/1v48YVMCqPW08vvpo3JyRWPeTyH1lMi8jFc9IptfmV9wERqyqmUCwgAW33U7VidMydv18p/XQAVb+5fcc2rHF2DZswhTm3nCLdf5Ma5PRWRVg7vW3ArDyr/dbtuneknStLZ+feXNzMxUVFQAVUspmt/2UZ6QP0x//sXZz3yfyVp/sW3eqngP9eHNycnGB4MHrx3Dh1EE0NIVoag8T7rHdXu8vGIjelikPUSLYy58THb7nl3LfbOL0Vu30Zl6/ZpVllP2b9/2Ui77385SNWa7f6tNpmPVziWCAVX/9A5Fwt+X7Qzu28NKPbzeSUsfOW0DjBxsJBAuIhLst3qFMeYz6ep6OGSVG+ij9McEP0uO+txtJPUk0W89vyfZWIxeos1vy3IZjVBQHeXDFEUvSsldB8TObV2ThtEGeBs7ZhZ3ehj6d+E1Q5ONbqD2Xo37tSja+8KRlHxnuTjnHI9vPxmuPlGTP7dZVdeDwUbQe3Adoc2XW/+MxNr7wFGfe+nXeuv8XRMLdiGABZ976deP6mcoD6et5OmaUGOmj9McEP0hfoqV+XDaqcPTqmskjijnQ3E1zu/UN7fF3jxGxHXfK6BJunDfUk6AImQ4uDOB58u2M0aUUBXtn4zy44kifzk3K17dQey4HUkQ16Er1jb3xg428ed9PkT0egUw/m0R6pCSDW1dVEQgw7ROXG5N4dcJdnexZtdTYJsPdlsTWTHmM+nqejhklRvoo/THBTyddb9uZFnQNTSH+5eHdFrEAWuWLuSzXLkQA1u3t4I5nGuIKJHtbeqcOrm5UVxTyufnDuP/tQ4DmpenLojZf30LtFRoAG198UjNghUVM+8RV1Myak5IXYUmPEIHsPJtM9EgxYz6XGRmJsOLh3zFq2kxkRNL4wUYi3SGCRcWMmXMGe959h0ioi4CphDqTpLv6xs+ePyVG+ih+meeRz6RT0Dnl7yzZ1hIlREAz+rd+dBgfHu2K6thqxotASvX3YMHEgTy0/HC/ELX5/BZqfzNPpwGrX7vSkk8hggUZfzbp7pHixLSLrqSrrQUJHD90kPo1y7UvpGTfhjUAiIJCZnzyWmpmztU+9xwrok+XMdLldfG750+JkT6M3+Lx2SJdibuxDHki12hoCnHjX3Ybg+yMTrnC+Z+0ElNnVn1abUFA+wfQLF68ioNUfg/6k6jtSz0g9LV76X0Ri9ZDB9iwqDf/RASDfOy22zP+bNLdI8WMU75IsLBI+//RVl0qu0OUDKxg4LAR7F6+xAh/mTvd5gOthw6w+eVnfe35U2JEkdfYRUG6E3edDHmi13j+feuU3uffP8bNHx3OgokDeXD5YTp7xMbt548gHMFi9M1CAEi68iQR7M+0P4naXFeLpIt0vQXbW6GffPHVaSkR9kKmfhZO+SLhUBfjPnIOu955zbLdHI6xd2K1f/YrjuLLh54/JUYUeYuTKMhG4m4i12hoCvH3Nccs2/6+5hgXnzyY6opC7r6smsVbWjhvSrnjIDtzuW82vBP2Z3rXZdUZFT6K1HHKA0g2/8V+Lnu4pGbWnIzei9Ma0o1TvogIFjBm9nzGzJ7P9rcXU1g6gPJhIy25Nkf27LKcx96Z1a/Yxde4+Wdz0gWX+k50KzHiI/pjX5BUcBIF2UjcTeQa6/e2G7NldLp75sQA3PFMAx3dkle2NPO5+cMs82p0vE7gTQf2Z6q3k+9P5eH5hJsHJJn8F7dzZTN0lY28BnPb90HVo9n1zuvIcDdv3nsXNbNOp/KECVEJv62HDrDxhSeMz14TWP2QMGr/XfCjEAElRnxDf+0LkgpOoiAbOQ6JXGPEoAKCAqNRGTjPlOkKw/1vH+Kh5Yejfvb2CbzfeGovn/+Is3BJFXv1jZ6jYvYAxRPNSlRnDzcPSDIiIta5smW8slHRtGfV25a27zoyEuHD1cv4cPUy1j/7N6act5DxHzmndwKyKVw1feGVcdfll4TRfMmFUmLEJ/TXviCp4CYKUslx8GpIvVyjoSnEHc80RAkRc3mtbvh1nH729gm83bJXuKQ7jGJv+KZ7bnSxF080K1GdXWJ5QNy6tboZpVjnytYbfqYrmloPHWDFw7+Lv6OMsOWV59j62gt87LZvRYereqprYuGnUvF8yIVSYsQn9Oe+IKmQzuTKdBtS+yA4e+dT3fA///4x/r7mGN2m6boNTSHLfuYJvDqxwiheRZVTArD5s13svbSpOaZoVqI6uyTy1hvvTd3tXNl8w8/EW3zroQPGVGNkdMVMLGQ4zJL7fsqF3/t5wuvK51LxXKDEiE/oTyWUuSKegU63ITULzKCAmTXO131qXRPdESgIQCQiuf+dwzy04ggPXD/GWNeM0aXaBN5tLUZb+FhhFC+iyilZ1ewJ0Y+ze2liiWYlqrOP17deL2/qTufK9ht+om/xTl4bfVtZ5VDe/O3PjEm7gYJCCBaA3jclEGDGJdcggoL1/3gMGYlu/BPpaaU/dt6ChNaVL+ERv6DEiI/oTyWUmSCW2PBioNNtSKsrCvnauVX8+OUDhCX8+OUDDBtYYEk+NQugbpvXY8m2Fh5accSy5mtOq2TBpHLW720nGICfvXLA8IyYy3+9iCr7fou3tMQ9Lp5oVqLaf5gNczJv6n5+w3fy2gDGNhEIIiNhY/9Id0jbpm+Qksox42g7cthRiOgIp2mTHsiH8IhfUGJEkTWyNY7eSWxEDX3b3so1s4dYzqEbUn1WTLLrMN/j2vp2y/fPrj9myfEwC6DiAoGU0miOtrWx03HN5rk5oYiWh3LXZdXGdq+iyr7feVPKjSZrsY6LJ5qVqPYPZmMtggXMvf5mZDiS0Ju6n97w7V4QpyGBR+p29s6QMQkR0GbPWLZJyZv33s3cG24xpvE60fjBZsbM+WhmbiqH+KHaR0eJEUVWyHRio5PYGFwatBj94gJhTL19YNkhoxrFLCAAwxvxp6WHEiqjNd9jcYHgypmDCQprfPqdncd5fdtxSw8PcxIqYIRiXt/WajnWvGZ7hc2B5t5/RL16J5z2U16N/MTNqJiNtQx3s+qvf+DC7/08YcPjhzd8Jy+IxWtTWMSG558g0hOSiUIEqDl1Hh++u9SyWUbCrPzrH5DhbkQwCAhjDo/OmDlnZOiucodfqn10lBhRZIVMJzbaPQwPLDtkeBj0/h03nV7J/e9ojYq6wr29Pswi6fKZFRYj/82n9/Lnz471tFbzPXZ2Sx599ygABQLOnDiQURWFxrZYyaeDywoM0WRGX7Pdo+LkxfDqnbDvp7wa+YfdqJx569dpO3KYssqhdLQ2QSAIPd4APf8hXUYnm2/WTrkrY+ctMLw2HS3NrH/mUfcTyEiUEAG0sE2P+JDhMENqx3O0bqfx/eTzL8la19ls4qdqH1BiRJElMp3YWF1RyF093UwrSgI8uvoYYO3f8bVzqyzHBAPRIunxd49Z9glF8CycRgwqsCSV6nRLOH3sAGaMLuWptcdi9vDQz2NG39f83JQXQ6FjNypL7vupJdwQKChEonkA0pnzke03a7fcFf2a9WtWReWIxGPy+Zcw6qQZvHX/L4xnaBYiwaJiJnzknDTehX/wWy6QEiOKrOBmPNfUt8Vsh+4VvaeH7hkpCmLMgwHN4NvzN376ygF+fvloxyZfOnqDMq/XD/VUxcgImP9JHDGowCKYZtaU8v9ebYwSZw1NIRZvabGc+1/PGGYJOenkgxdDNUDLPGajIhzyHiLdIWZ88lpKBlZQVjk05eF5OrmosolXeiwKCrX/+byU7waCTOhpanbBt+9m88vPsmvZ68bXfm2bni78lAsESowosojdeK6pb+M/ntwLwKKNzfzyyuTbnNtDJNeeNpiK4qBRBqsnaL60qdloQtYd0RJK9ZyNEYMKuP0few0RU2BrUOaEbmyPtYctVTH29NcDzd0WwfTq1paohmXmnBMdfYKvF0OuryXTg/S8kq8N0PyU1OcFs1ERwYDRXVTH3KQrnZ6MXLxZxys9lt0hKqpraWqoi3+ySNgQZoe2b2XMnDOoW73U923T04kfcoF0lBhR5Ay7B2DxlpakxYg9QfXJNcd46IaxRhmsbqA/Mb2c597vve7r246zbFebYSgfumGsUU3jJgLMRl8XFwUCioKCrrD2d3PKh1P7945uyYHmbi6cOsjYL16TtFi4CZlcCoB8bICWTOjBD+JFNyq7ly+xbB82YYrRunz38iVp9WT45c26rHIoIligJaAWFNK070PL9yfMnk/92lXa94EAIhAk0h0iWFRMWeVQx3ybfBGifQklRhRZxey2P29KOYs2NhvfnTelPOnzVlcUOiao6sZeN9RFQRxDOI+sOmIY/mtOq3Rd+5LtrUZyrL1Fe0FEct1pQ3hizTFjGE2BcG7/7pQ3Y845KSkQnoUIRAsZ/b5yKQDysQFaoqEHP1UktB46QEdLM4GCQqOi5NCOLbx1/y+iK0/S5MnI9Zt166EDvHX/L3qERhAi0SGassphvQmqkQhzb7jVKG+2/7zbjhxm7LwFWb+PbOIH8eyEEiOKrNHQFOLGv+w2qlweumEsv7xydFpyRgAWTCq3NAlzagLWFYZbPzIURG/FDWhhole3tjh6EhqaQpbOpzqhCJYheN0SdhzqpMs0jObzHxlm3FespFNzzom9b4gXzIZfJ9cCIFtJtunMS0nUYPulIsEsiuyEuzpZ+ZffM33hlWn1ZPjBqFlCNE6Jq8ECjh86aNnU+MFm5nzmC727+CiJM9P4STzbUWJEkTWWbGsxjH9XWPt8zWmVKYsQHTfjZ39DXzCpnOqKQhZMHMgjq44Y3hm7J8FNhOiUFAi+dm4VP33lgNE9dcXuNuP7oqA2B8M+ZyZeN1R735BYmA2xecCdH3JGIPNJtm55KckKlERDD36oSGg9dIDNLz/rKER0Du3Ywhu//jFn/ft30vLm7xejNmziZIKFRYRDXVrVkIwgw72iRCAZPeNU6tcsN7aZe4b4JdSULfwinp1QYkSRPexdTZPscmrHbni8tiivrijkM3MqHbuOOuVgmLlu9mAuPnkw1RWF7DrUaZQSmzHPmYk3XTeZkIaTITbnoPQHnPJSgJQSZxMJPeTamMXyiAQLixg06gSO1u0wtu1ZtTQtPTP8YNRaDx2gfu1KIj1hmUh3N+PPPIedb70GPQ3fZTiMDEc469+/w55VSxkz54yo+891qCmb+EE8u6HEiCJrLJg4kAeXH6azp/x2wcSBKZ/Ta8WG2xu6m1BxysEwM6i0wDB80kFTBU1JrB3dkv98ci8S96TSZEIa+Zggmm6cRFy2n0sujZlZFIBWjjpmzhlGEmbbkUO88esfG9+nq5Noroyaec6OuTeIhmTnW69a9g8WFtHR0sywiZMtoZn+Sq7FcyyUGFFkjeqKQh5MMofAze1uNzw/fWU/N84bmlDox0momI1cURCumjWEJ9ceM4SUnm9SUiC44pQKy7EBUx6Jjv4xlnFMNKSRjwmi6cZNxPWX52IXBSddcCkAR/bson7tSmpmzuX0f/kSO95+jQkfPcfiFUgl5yMXRq3xg41GQzdtxoz7YDuAkdNm0vjBJtY/8ygbX3wy7aGkWNOC3Z6JH/Js/OoJEtJLc5h+jBBiENDU1NTEoEH9ywXuB+wVLPa8APN3Zn555WhGlBe6JouaZ9G45VnYBZDRU6St26jaAbj1o8OMNQQdhIiZwgCe28t7IV1N45LBS15Grpqe9adma40fbDRCEGWVw3jpx7cTCXUBWvdVIQThUJclt8MvOR9eaD10gB1vv87WV5/z1sysh5pZ8yy5InOvvzVtlTLxpgU7PdN8eubppLm5mYqKCoAKKWWz237KM6LwLU55G055AUVBwajyIPtaepM+n13fxLJdxx0TG83D7PQpuTr6voBjjol+DnPVzoKJA1kwcWBU7xF7CXFQxG+ilujzMTdRy2ZPES/hsVw2PcuH7rTpQC9tDXd1Urd6KdMuutIQIoBlaJw5t8MPOR9eaD10wCKuXDHN3wEQBYVMPPNc9m1c4zmUlIjXwun56X83b3MbWujnZ54r8k6MCCFuA74BjATWAf8mpVzpsu8XgM8C03s2rQa+7ba/wl845W045QV0haVFiACMrChwzBuwd2q109EtWbKtxSI27EY0VkIsYPnuQEuIZ9cfY1RFERdPr0irByGXOSNerq1yWjKP3cAd+XAHoqAQ2SNC7J4R3SD7OZFRR68SiitEhNBawJuYfPaFVJ04zXMoKVGvhdvzi/VM8+GZ55K8EiNCiKuBe4BbgRXAV4GXhRCTpZSNDoecBTwGLAU6gNuBfwohpkkp92Zl0T7Cr65rt3XZJ/HedHqlUZYLRPXVAK0N+7cvGMG0UaU8vbYpKm/Afk4nzwhCOBrRhqYQz79/jH3N3Vw6o8K1csX8Vl5dURg3fJKsByGXOSNerq1yWjKP2cAB1L+3AhEMMu6McymvqjLawNsNsp8TGSFGlZDQ/v/EnC/iELopKtMaKHrNj0jUa+H2/GI9U78/81yTVzkjQogVwCop5Zd7PgeAD4HfSCnv9nB8EDgKfFlK+bDHa/aJnBG/zgmJt65YAkrPGfnfdw5Z2q9/6/wRXDh1kOux5u0HWkLG4LpwpHconn1NAP/y8G7LIL1UZumYeWlTM3e/ciBq/V7IpcD0c85If0L3IJiHvIlgARd97+d5afCc7mfk1Jkc2PK+p4m8ydx7f83nyAZ9LmdECFEEzAbu0rdJKSNCiMXAfI+nKQMKgSPpX6G/8avLPN66YsX+qysKuWb2ECaPKOabT+812qjrgiJWOa/u6XDLubCHYV7a1Bw10TeVWTpmzG3gCwPaZ6/kMjfCy7VTWZ8SMt4YOGwEJ11wKXtWvmVM7JXhbk+t7P32lm6umDETDnXGFCJaC/xuQCbVv0h5LXJP3ogRYBgQBA7Yth8Apng8x0+BBmCx2w5CiGKg2LQp+YEpPsJvLnPzsDlzCe2x9rClY6kXZtWU8efPjk3YcC3Z1hIlhHRPyXlTyo3clAMtIY61hwkC5n8OAwGZ8FrtmNvAgyZI7nimIWOeq3wx8H715PmVgcNGMOf6my0Te5sP7KX10AHXElO/eQIaP9jIG7+5Kyr/A+Dgts2ux42bfzZFA8rZuvhZQJvcW79mFVPOvzih6/u15NVMJgSkX0RpPomRlBBCfAu4BjhLStkRY9c7gB9kZ1XZI1tzQrxgNzR3XVbN1v0dPLjiCPe/fYiHlh9O2Pgk+gbe0BTiwRW9DrICAc0d3Ua4ZNHG5qhqmIIAYPp38rn3W3hlc2tKhjKbA+7yycD71ZPnZ2TYasS3vPIcW197kY/ddntU11G/VXa0HjrAkvt+6ihEYhEoLOKkCy6lfq2tJkH4I/0gVUNvPh5ilw4nuz6/iNJ8EiOH0F5M7U9qBLA/1oFCiK8D3wLOk1Kuj3Odu9CSZHXKgfrElupP/FLuaDc0B5q7GVxWYFS3mMt3MyWe1u9tt1TTdEv4/duHLfvYe5d0R6yTes1rjbW+WN6IbA64yycD7zdPXj5gT2YFLVzz5n13c/LFV1Mza45haMoqh1qOtX/ONoe2b7WGZkSA0z97K8f21hseDyemL7ySgcNGUDNzLhsXPalVDRUWGYm7uSRVQ28/ftonrki7gPSTKM0bMSKl7BJCrAbOBf4BRgLrucC9bscJIb4JfAe4QEr5rofrdALG/80iTfNT+jqJuP9njC41vA5Fwd6kUbPxGTGoIKG3+ETDD04iwN6szO4ZsXtxOl0Mpb2pWqz7MHusMj3gLp8MfKqevKP1bdStPkLt7EqGZLkZXK7Q8x7q16zi/ecfNwbGyXCY9c88yvvP/93wkrQdsQpv++dsYxZSgWABc66/GRmOUDxwgOsxgcIiKmvHs3v5EsoqhzJt4ZUghUV05ZJUDb39eKRIe2mwn8qN80aM9HAP8GchxLvASrTS3gHAgwBCiIeBvVLKO3o+3w78CLgO2C2EGNlznlYpZWuW195nScb9r4k8SUTCxn3thCNYhskl8hafyPXtU26f23CMx949Znz/pTOHsudIiPOmlBsdXO0iYVZNGQsmlbtW6vQ2Y4OPjB8Y9z6y5bHyU6jOC8k+l6P1bfzhircJdYQpLAly81Mf7VeCZMr5F1M5Zhxv3nu3JelThrt58967+NiX7/CVEQKTkFq7ks7jrax69H+1/iIigAgEnZNXpeSt3/2csKkPSbComJpZc7K4cncSfcb2kI79+JpZc6iZNSet+R1+StzNKzEipXxcCDEcTWCMBNYCF0op9aTWWixRfb4IFAFP2E71Q+DOjC42AfIlqdCMec2Juv/NIZLuCPz4Ze3HZxcSXt/ivV7fSbSMGVJs2WdQSQHfOK/S+ByrksfpO2szNnh9W6/m9YM3wi+hukxSt/oIoQ7NeIU6wtStPtIvxIjZmJVVDnPcR0YivHnfT7noez9PmxFKZwLkxheesvYWkRGkBBEMMvf6W2j8YLNR8mvuLquT61CDmUQMvVtIx+n4dN+bXxJ380qMAEgp78UlLCOlPMv2eWwWlpQS+ZRUqOOUgOpVODQ0aZUpBaaptjpmIZHIW7zX8IOTaEl36MIp/ANwyugSbpw31Pc/275A7exKCkuChmekdnZl/IPyHLMxCxQWUX3yLNdSWL3sd+y8BTlPgDQLGfsEYuuaw8hwhJMuuJS61UuN+xQQ5RmxeyByWS2SatM1vwiFbJB3YqSvkU9JhTpOCahehIM1hCEoiEiLILGLgXhv8WbvzF2XVRsluW7HOAmP6opCT8c6Xdcpx0MXUUu2tRh5JQDr9nZktGRX0cuQmjJufuqj/SpnxGzMIqEu6t9bYfpWC4kaBIJ0tDa5lv0me91EvRIWIVNYxMSzLuhtZS8CPZ1VtXUHC4sMMWH2FuhrKKscStuRw1GCw0/VIrHwW9gsFygxkmPyKalQx82oA0YVTPwQhuTWjw5jcGkwyqg3NIVYsq0FhDaELl7IpSio5aB0dkv+ubmZn13u3BnVydvS0BTiW8800NktWby1hQc9JMrah/cVBeGhG8ZaBMk1p2mt6x9ZdYRFG7Wmg+kWm34K7/lpLaAJkv4gQnScKml66f1dFYEgIhBg/T8eY+MLT6VsnOMZ0VheCYuQCXWx9ZXnTEuOECgoZNJZF1E8cACVteONYXR2b0Gs9fupWiQWfsrdyBVKjOSYfEsqBHejHi/cZBcxTkKjoSnEjX/ZbVSxPLj8sKNAsOdm6P/ghiLwzaf38ufPjjXWZa5ssT/nJdtbDe9FZ7fk1280cvXsIa5VLU59QbrCWgO1a06zhgOqKwr5zJxKXt3aknaxmY7wXroERKpr6Y+VL+nGXEmz8YUnLKELnWETplB98izW/+MxID3GOZYRjeeViC2gtJyQ40cOMHj0bN6876fIcHfC3o1MeBwyFfbpTyEZJ5QY8QH5mFRoX7OXcJMX4bV+b7ulnLazW/LIqiOcN6WcA83dhhfF3rk1IrVkWNAEie6hMYeFIj1hIYvBtM1mWr67jeW724DohFpwzwlxa0GdKbGZangvnblKqaylP1e+pJP2up20rHyLMXPPpGbWT1n+v//Dkfrdln2GRcIMqxqVduPsZkTtXonNLz/LSRdcGjWsb+c7r7Hl1RfAIcel/r0VlpBTogIq3R6HfAn75CNKjCjSQqxwk/0NPF4yqr2/x6KNzUaoQ0dPnNU9GAdaQlHzaexhIR2zwVwwqZw/vHMYp76P9om95pLgJdtbeWDZIbrCUNzj5XHD7Z5T8UykGt5LZ65SKmvpr5Uv6aS9bicrLphBpL2NQGkZpzz4PN1P/xlOW6CJZCkp27CaQ8//jSN//AUf+/ubtLa1ZTwcYPd87Fr2OnWrl1oMeNuRQ3zw2osQCRv9Rfauf4/6NcsdzymCBQkLqHR6HPIl7JOPKDGSA3IdX8/U9W88vTIqzyPRN/DqikIeumEsS7a1sLWx01Iaa0ZPnNWn21ZXFEbNpznQEorqmAq9w+he2tTMjNGlXH3aYEuvER3dsDrdwzWzh7Bg4sCkn2OqnolUPS7pzFVKZS39sfIl3Rxb+RaRds2bF2lvY8/vf07RgX0MWvYanaPHULx3D0VHDmrfd7RzfNkbjL3l6xlf18BhIzjz1q/z5m/uQva0edcNOBDVnC0S7qa96SgzLruahg3vaX1GTAgRYO71N1tyR7KNSjTNHEqMZJlcl/Jm4vr2cy6YONAQPMfawwm/gesJoA1NIZbtOh4dEsG5Z4fZA2EeQBcQEEArJQ4K+MJHhhrTenUPy1Nrm+jslhQE4PbzRxCOaIIl1j3EStqNJ/jS4ZlIJbyX7vBRsmvpj5Uv6Wbw3DMJlJYRaW9DFBYROqrNXCo6ctAQIWZ2/Pw7DDrlNIbMOyvja2s7ctgQIgCBYAFllUONUIed959/gpqZc7nwOz9lx9uv88Hri5DhXq/Ju4/9KachEpVomjmUGMkyuS7lzcT17edcsq2Fh1YcMfI5iguEa+v0WDi1SvfaMt28pkjPVPGCgJZX8sd3DhveEt3D8mCMhNwCAUVBQVfYeg9uwi6ZZN5cVFH5IVdp96rDbFjUwPSF1UqIJElp7XhOefB51t5wITLURcvaFbEP6A6x5voLmP/aZkprx2d0bWZPgggWsOC222k7cti9n0h3yOiBcsonr2HCR8927EOSyxBJf080zRRKjGSZXBuhZK4f7y1/xCDrr1FzZ8RS6XLrRyoZXFaQ1Bt4sgZzxuhSS4gm3NuygJBp4J25NNktIbdbQkFEK0U2h6DchF26knn7OrtXHeav/6pNW137VD3X/2kuY+fkdmBbvtJRvwfpUEHjSneIxhefZMwt38jconD2JLQeOmARKNI8IA/r0D674Vchkr6LEiNZJtdGKNHre3nLP9Bs/cdkUEnQWsI7qdzwGOh5GuZwin0tqea06Md/8/wR/OyVA4QiWHqR2JNfna5hFzPdEgaXBl0ra8zCzqvgy0Riaz6xYVFD1GclRhKnvW4nx3dsSeLI7AwBdeoLoguUpv0NUVN53Yb2qRBJ30aJkRyQa/d4Itf38pbv1D9kwcSBLNneapTOOokaewXMA9ePAWJPuY2H/To/u3y0ITr0+/Fi5KsrCvnZ5aOjKnTs+zgJO3MXVreSX6/r78sdW6cvrGbtU/WWz4rEMFfSxCNQUoqMRJBdnQRKSqm66IqsrO/YyrcYPPdMS0hIFxKrH3/AusaCQjpaml27w/bHEEku29lnEyVGFDHx8pbv1gTtoeWH6eiWPLTiCDfOGxqVV/KnZdbcDT0R1OvQO/v11u9t51hbd1Srer3iRl+rE/aur6B5fMxixunYWMJOz5t5aPlhz6Ii1zlF6cStmZl5+/V/mmvkjCivSOKYK2ncEEXFDDv/MmpuuJWS6lpHcZAJ7CXHp7+83nLN+jWrrM3ZhEAC6595lI0vPql6eNC/+pooMaKIidewTrwmaEhpETUIYSm5LQxgCJ144ueVLc3c/c8DhGVvvxG9Oqa4QBjhlaIgnnNizF1fH1h2GJB0hZ0bn3khkUnC5meb65yidOHWzMy8vaA4wIIvTeIjn5+gkleTZPDcMxGFRTHzRSSSg4v+zuHXnuf0l9cz6qp/yfi62ut2svu+uywlx8dWvkVp7Xja63ay782X2fDuMttCpTaXBtXDQ8cvSbvZQIkRRUaICt1MKmfBpHJLa3bdc1IYgJ9dPtow1k5eFr2iZtXu4zy6+phxnY5uyeItLYbh18tzQcsR8YK966u9QdqS7a0MLg0mlMPhJirs7emdQjKZzCnKVj6KWzMz8/buzgiv/XIrb/1uu+q8miSlteOZ+ZeXjEoaCovALky6tM9mQZBJji5/gzXXXwA9wgIgUFrG4LlnGt6StqFVRGbOsxwngkFEIEgk1JXzBFW/hEb6U18TJUYUBm7JpMnkMMTKp9BxM7pmL8ua+jYjb8OJoIDzppQb81/MSaedHsMc9q6vRUFtyqneXVXvtJrq/dufpT10Ze5fkgmhkM18FLdmZubtOqrzamoMmXcW817dZIRf1t60kPYdW017aL/PuiDIBHpuSEnNmCghMnzhp5h4+12U1o5n3xN/JtLeRuGRgxDuhqBmgkQgyMdu+xZllcNyLgL8FBrpT0m7SowoAHdDlUoOQzyjGu/7hqZQTCEC8K2Pj2BEeaHR/XXogKBRQePmkXBqTvbTT45m6/4OS86InoNy/zuH03L/8UJXmQ7JZDMfxa2Zmb59y+L9vHnvNrq7IhSWBAkUCp6/832VO5IkpbXjKa0dz9Hlb9iECICk9tZvMvq6mzPiFTHnhojCIosQARg0Y45xXb1BG23HGbr8Daq+83MKK4ZSM2uOZWZNLvESGsmm5yTRpF2/eHUSRYkRBeBuqLzkMGTK9b9+b7ujECkQcObEgVw6o4IR5YWGiCouEEgpjT4iXzu3ivV72znQErJ0XPXanMxIxO1JRI0lGLw8A/OzLAzA5JElWS3zznY+ypCaMkdvx5CaMubfOJ4p542kbvURAoWCZ761HtD6jVx29wxO/sTojK6tL9Jet5O1N1zo+F3dH/8fQ8+6MCNixJxEK0NdEAgaQ+9EUZGxNl0wnf7yehpffAqQVGUhkTZR4oVG/OQ5sePntcVDiREF4GyomlpaaD7cyG8uH8qOY845E5l0/ZvX1JPzSigCwaDgCx8ZBsAjq45Y8kV0QhEMD4k5dJOJ5mRen0F1RSF3XVZteHvueKaBB64fY6n2ySSZyEdxq5jxgi5Wnr/zfcv2Z7+znpoZQ1TYJkGOrXzLPZE1HGbtDRcy79VNaTf+5nb0AETCiMJCRn3qc+x/6mF23PVNdv3yB4z7jzupuuhKAHb96k4i7W3s+tUPo6psck280Iifk0r9vLZ4KDGiAKIN1YBAB39b9Bzd4TAFwSDXLLyEivLMzFgBZ8+CeU3H2sPc//YhQBMdS7a3GgmwOsUFgkhE84wUiF4B4tRxFVJvTpbMMzjQ3O0ojLKFfi9H69tY98aBlObBuFXMJIq934gMo3JIEqS9biddhxsRRUXILmdBIkNdGUlg1b0du++7i32P/6nnWiGOb99MpEMr1490tLPjrtvZ9asfMu6rdzpW2fiJWKERPyeV+nlt8VBiRGFgNrpbdtbR3TNNszscZt/BRirKy6OOcTPoTS0t7DvYyKjhVY7HmYnlWdDX1NAU4sHlh+nsCccgpUWILJw2iPOmlPOtZxogIrVZNGidU+0dVwGjE2w6PAUjBhU4ih0n/FC6my4R4VYxkyhj5wzlsrtn8Ox31iPDqOm9CeK18ZkoLKKkZkxG1lBaO56xt93BgWcfM9bRtHJJ1H7ad9LwpGQyqTZT+DmpNNm1+SHPRIkRhSOjhldREAwanpFRw6sc93Ny/Te1tBhelWAgwNwZM5lQW2sRJWaxsn6v9ORZkD3dXKWUTB5ZYjHqn5lTyfq97UaoRvc+FAbgrsuqmdVjJJ2Ej1OYxGsejHk6sH6teEm7uZ5Jky4R4VYx4wV7eOfkT4ymZsYQNb03Bm7dTF0bnwUCEIkgioq1zquhLtbddHHGwiJOHhI7orCIqouupOqiK7PWfC0T+LkTbDIJr37IM1FiROFIRXk51yy8xJN3wx7G2Hew0fCqhCMRlq19j1Xvr+sJ9ZRbxEpBMMg5Cy5yzFcxX9vcC6QrrIU7zEYd4FhbtzEhWCcUsc7O8RJSMQsWvQfKLBfjaD6f/Vpen1e2SUVEmHGrmNGJ1YHVyTPjlvCqiN3NdPDcMxHFJcjODssx1dd+nopZ8zm+fQt19/8UyHxYxO4hCZSUIqVEdnYgCouY+ZeXjGvnowjpi/glz0SJEYUrFeXlcUMsTowaXkUwECAc6S2FMYd6zGKlOxym9VgDD1x/Ysx8FXt4Y8LgMM2H65h/QhXHI73Nw4qCcO1pg3lyzTGjN4g5FOIlTGIXGN98ei9//uxY14F6+vmKgnCsPUxDU8jXLdzjiYhEz+V0vF1wXH3fbJoa2qmdXRnlmVn6wA5qThmiPCIxMHs/7IKitHY84//zR+y465u9BwQCFJQPoaRmDFu+88XezSWlaQmLmL00+vp0L4fuIXH7XuEv/JJnInTXd9wdhaiWUjbE37NvIYQYBDQ1NTUxaFB2qh76Au9t3Miyte8ZnwNCcN0llxmekceef9YQK8FgkGt7vCYAW3bu4NVlS41jz51/BlPGTzBCJxMGh3ltyYuGWKmefDb/b0mrsf+3zh/BjNGlrqGQeCGYhqYQ//LwbktZ8bfOH+Fa9aLPtXlwxRFjKnAuB9ylUuGSLtY9U89z3+utkgkWCsIhSbBQcPF/nczz399AuMtat51K/kpfJ5ZnpL1uJzt+8V0an/1b1HGisBAZ6u37MeGOnzLmlm+4hnwSXovJ8+E0f0aRH2QyZ6S5uZmKigqACills9t+iXhGNgohbpNSPpry6hR9ngm1tax6fx3d4TCBQIBLzj7XECL7DjYyY/JJrNm8EYCwLUHWLV9FD29s2bnD4lkZVthCSUHA4u2IFQrx0owt3sRe+/6DywqM8FAuB9ylKzk1VcyhIF2IAIRDkme/8z7DJwyg8YNWyzGqE6s7dm+DWYisOH86EVuIRkeGQsbsmkBpGVUXXRl3gF08LF6anmoZ8G9ljCI+fsiBSUSMfAf4vRDicuAWKeWRDK1JkQMSqX7xglPOiSWxNRg0QjkFwSADywawZecOY99Y+Sp2sTJ1zCgeuL4krUmhs2rK+PNnx3o+px+qZCB9yampMqSmjKvvm82GRQ2MmVvJc999n0iPWJNhGSVEILkqmkx7gfzgZdLRQyBmjq18y1WIACAElQsuIFBSQs0NX7S0ZIfkBIS5r4jdM5JvlTEK/+A5TAMghBgH/AmYCnxBSvlcphbmF/pSmMZNcNgTSq8xhUzSiT38Mn/mqZSVljCwbACL3ngtoeunWzx5Id41szWELhZ+8YzY13HyxaN474n66B0FnPf1yZQOKkrY4Gf6Xv3yLGPRXreT5edNde0tYkYUFTNvseaNTMUzol+3v+SEpBLSUmQmTIOUchdwjhDiy8BTQojNQLdtn1OTWK8iw8QSHPaEUreeIrHO7UUY2D0aermvPezi5frJJtcmixfBlusqGUhvcmoq2D00xeWFBAogYi82klA6qIhTLqtJ+Rrp9gL5xcsUi9La8Yz/2n+x467b4+4ruzrZ8/ufMeXH9zuGfBK9bmnteNrrdtL44pNow/jiG+58M+yphrQU3km4mkYIMQa4AjgKPINNjCj8SSzB4bWniBOJeFXcwi+xrp8tD0i866Qq2LKJH0pkK6qtYaqVj+wh0q0lsp791RN5/VcfEA7JlEqL01WinKvzp4uqi65k5z0/0Ep7g0GIRMDF493wyB8Ycck1DJl3VspGtb1uJ8vPn26UFO/8f99DBAJEOtodDbefDbuXHi4qJyazJCRGhBBfAP4fsBiYJqU8mJFVKVLGblxjGfxEeorYSdRIO3k03K7f1NLCY4ueI9yTY3JthsJHXgRVKoItnfgphyEWTQ3tls965Uw4JJFhuPWZBSnfR6a9QH7xMsWjo6EO2d3zTtjz/2Is6v/yO4bMOyvl6x5b+Zalt4ns6kSXQE6G26+GPV4Pl3zuFptPeBYjQoiXgLnAl6WUD2duSYpUcTOu1yy8hB11dQgRfUwqPUVSNdJuXokddXWE9eZp4TA76uo4ddq0hM8fDy+CKhXBli7yIYdBx+xVsPPmvduYct7IpEIzduxeoHSLNT94mZzQ3+RLasZok3rD3h3Uhxc/Z0zRTfXa5mZroqjY4hmxG26/GvZ4PVxSDWkpvJGIZyQIzJBSOmShKfxELOOql9uuXL8uLYmqqRrpWF4Ju2jq7OkSmApOwseroMp2noqdfMhhgF5BoFfTmIfgAXR3RTKy9nwSa6lgfpPXy3YTIdLZkbRXwu5FmPnnF2hetwoQVF10BYAlh8SMXw17PJHkVMWU7/hhFo0dz2JESnl+JheiSB9uxjVTeQ9uRtpLvod9TTs/rGPWVM37Mf6EWpavXUOkJ/69busWpk6cFHPNsa7pJnz84PXwQu3sSgqKA3R3RigoDvgih8HuiTALgmCh4PQbx0Ydk6n8i3wRa6lifpOXoa5eQRIMUrXwUzQ+/38QcQ/XpOKVsHsRDr/xMqGjhxh5+WeMhNZdv/ohkfY2dv3qzqi8ED8adr+KpEzhl1k0dlQ7+D5IMomi6cZrYqu9dfyK9esYf0KtIRJOP2WW0cnV3hwt0WvGEmO59np4Rtr+zCFOngizIAiHJEv/uMtyzMwravjI5ydkRCRkI+HUDzk79jf58V//b7b/5BsQDtP47OPE+uUYdfW/Mva2O5I2uPapv/rMm32P/4lZf3uNjvo9vswLiYcfRVKm8MssGjtKjOQhXjwOiSSKZgKvXpiK8nLmzpjpKjjMnVzdBJT+PNraO2Je0y9JqMlSt/oI3T2JoJkKdSS6HrsnonZ2JSII0uHFPFgokhIiXgWAW8JpsgIiltcnl2Eg85t8Sc0Y1lx/gSlx1V2IBErLUhIiAB31e1y/2//0I4y97Q5f5oUoevHLLBo7SozkGak2KMuWByARwx9LcMQTUJauroEAwWCQsMs1sx2OSXdZst9KTZ3W07Sv3VGIAJx+49ikhEgiAsApoTUZARHP65PrMJD+Jr/n9z+H7lDc/Ycv/BQ1N3yRYyvfMo5PhpKaMUZYSBQVI015XHqopj+FPPKRgcNGcMG3787fnBGFP8h0g7J0GdBEDH+8fWMJKPPzCEcinDHrVEpLSlyvmaoY8/p8MtHV1m+lpk7reed/d7juX//esYSvYRcAWxbvZ/6N3g1csgLCzevjJzGo4VAaBxRVn0BXw4fG59ITxrPupotT7rq65rMXQqgLggXMfPhFOg80sPeRPzD6Mzcb5cL9KeSRr/hhFo0dJUbyjEw2KMtWW3gn0lVarOebZIJEnk+mkoWzUWrqFNZwClnon/US3d2rDnO07rjreWd96oSE12JO2oXesmDAkyhLVkA4Hec3MQhQddEV7Px/37N4KACLEBEFhSBIOZdj76N/AL3tfLibvY/+gYMvPoUMddHy/rtUzJrnexGSbx1g+xNKjOQZmWxQ5tWAevEOpEPYeM2N8VseDORnfsrR+ja2LN7Pm/duo7srYoQnAEvI4ur7ZvP4bastIYz69Ud55lvrXc996lU1nPyJ0QmvaUhNGQu+NInXfrkV0HJlNr+yn7d+t91T6CVZAeF2nN/6jpTWjmfe4o3sffQPfPinXyJD0SEb2R2i7k+/RBQWIkOhpHM52j/cbfnc+NzjRqfXfEhW9XMHWIUSI3lJphqUeTGgZpERCAS45OxzqRk5Mmo/L4Y7mTJcJ1IpLU6ERARGvpQL65hzJHT08IT+d/3PDYsaLJ/fe6KO5X/eFX3SHgqKA8z/3ISk13bS+SMt4kMIEgq9JCsg/CY83CitHc/Eb93N0LMuZOt3vkTbji3RO3V1IQFRWMQpDz6flBGuueFWDi76e+8GU8t5UVjk+2RVv3aAVWgoMdIPMBtlu4G0G+x4BtQsMiKRCM+9tpjrLrnMU/t087WAmKImHbkx6Q45JSow8qZcGGuOhI45rGEOWYyZW8n6Z/cS6daM0YqHdzkmrQYKBPM+O5ZZV9WmZNTtXgqAJb/dnrXcDT+U88ajvW4n625cSKSjPeZ+MtQVsyImFkPmncWsv73G/qcfYcgZZ7PlWzcbjddm/uUl3xt2v3aAVWgoMdLHcTLKU8ZPcP0ungEdNbyKQCBApKcvSERKQyjEEjaA5VpzZ5wSU9SkGubIdoO3fMecI1FQHGDBlyZRPb3CMMK6GKioLuXx21YbQgSiJ/GOmTuEiR+tYsp5I9NmvO1eimzlbvilnDcex1a+5S5EAgGtnXE4nJQRNudZDJl3lpGoWjFrnq/zL+z5IU6VPiqHxD8oMdLHcTPKTS0tvLdxQ8KhlIryci45+1yee20xESktXo9YwmbLzh2Wa0mJq6iB1MMc+ZizkUucvA92I3zKZTWse6Y+et5MAIj0fqxfc4yL75yRUaOdrRBKItU4ufSgDJ57JoGS0mhBEgga3VhFQWHCIZpYeRZ+rppxW7d5zSqHxF8oMdLHcQuX6MJBx8lguwmMmpEjue6SyyxCwS424jUcm1BbS9XQoVGixozdC1G/fz/bdu9i0thxjnkq9mPzKWfDD5gNvFl0mI1wRXVp9IER68dwSOa8IVu68FqNk2sPSmnteE55aBFrrj3Xksthbgsvu0M0r3s3oYm9+Zpn4WXd+XpvfRUlRvo4TkbZLBwApk6YyKnTpkcZ7ETap8fzRDito6K8PErUuFG/fz/PvPoKAJt2bOeyc8/3JEj0c6YzmTXdibF+xM0IN2xointsLubmZMor4bUaxw8N0Trq91iFCECwwDbRN7E5AvY8i5KaMex74s++D2t4yQ9ROST+QomRfkA84eAkRJz2cwt16MZ54Vnn0Np2PKGGY14Fw7bdu6I+xxMj5vWlK5k1l71YMoGbEdeN8JbF+w37drS+jSW/3Rb3nAu+NCmrhjjTXgkvISE/NEQzG1cCQaqv/TyD557Jpq/dBN0hRHEJVRddmdA57a3nU22cli28dIL1S7dYlbeiocRIP8RrCMPLfukyzvHOM2nsODbt2G757HQOp7WmM5k1U4mxucBuxK++bzZNDe0WYaJXrbz1u+2cdl2t0XwMtGqZSLckUCC0/MiQpLAkyEnnexOJ6cIPXgk/NEQrrR3PlLv/wIcP/JqWTWtpeOT37Hviz1R94kra9+zghM99JSVj17zu3bwKa3jJacl13ovKW+lFiZF+iteqkHj7pcs4xztPzciRXHbu+a45I7H6n6QrmbWppYW29g5jynC+J8bajfhjt64yBIXTLJblD1m9U5f898lEQtLwAuTKEPvBKwG570tydPkbbPrK9ZZtsrODxmf/BsCmr1xP8YjqhHJGzMZSFJcYSbIqrJEeVN5KL3knRoQQtwHfAEYC64B/k1KujLH/p4D/AsYC24DbpZQvZGGprvSlnAOzoQ8Gg7R3dNDU0hJ3bov9/r0IhpqRI11DMzs/rHMtFU5HMqtlIF8wyBmzTjVaz/vt5+k1f8JsxIOFgnBIi8fo3oWK6lJju/l7nT0rj1im8ObKECfilciHniHJUv+X38XdZ//TjySdwCo7Oxh/x08pGlrV70MK6cItb6U/hm6EtCc8+RghxNXAw8CtwArgq8CngMlSykaH/c8AlgB3AM8D1wG3A6dKKTd4vOYgoKmpqYlBgwalfA99LecAtHvaUVfHyvVrDY+B233V79/Pc6+/SsRhv2SH+DW1tPDYoucIm5JyAc6dfwajhlelRShs2bmDV5cttZx7yvgJGft5JitwvIRe9P10wbHznYPsXnWYhvebje8vu3sGz3/vfcIhiQjCpT+ewaLvb6C7y1o6k8nKES8zchJh96rDUd4fp3Pkk2Bpr9tJ44tPEjp2RGsHr8+OcWHW315L2jPS38MImcIuPPraM29ubqaiogKgQkrZ7LZfvnlG/hP4o5TyQQAhxK3AQuBzwN0O+38FeElK+fOez98TQpwPfBlN0GSdvpRzoFNRXk5ZaQnhnp4hsXqW6KW8TvvFCgnFMvr7DjZGCZGCYJCBZQPSJhTcPDeZ+HmmInDcQi8FxQHmXDeGsiFFjJpWwWNfXEW4S0b1CNHZ8HyD4QmRYfjw3SPMvX4Myx/ebWl4lu4cDbNI0uffBAsF194/h4pRpYbQ0reNnTPU83n1ZxFr3bku0U2E9rqdLD9/OrKzI/rLYBDM/08Egkz95Z8TEiLgnyTPvow9b6W/hm7yRowIIYqA2cBd+jYpZUQIsRiY73LYfOAe27aXgU9mYo1e6KvNuLzc176DjYYQAa3pmdf7txv9HXV1lJWWMGp4VVSo6PQZpzD+hNq0CgW3UE+8tvfpyJ/ZUVfHqdOmeVunS2iluzPCsge1nI9AUBAJ9/wcHIRIsFBLSDWz5sn6qKpRIOUcDbMXArCIDX3t4ZDksVtX8bEvn2gIrXBI8ugtqzj9hrGUDSly7PZqPnfd6iOWMFOwUDiu2w/JsF45tvItRyESKCll5JWfpeGxP0LPCwKRsOMQPYX/6K8lx3kjRoBhQBA4YNt+AJjicsxIl/1d0/2FEMVAsWlTWt0WfbUZl5f7MhvugBBccva5nu/fLjjsISG3a+vJpsEEhE+se3QqTY7V9t7Jq6GLlYFlAxxLoUcNryIYDBrenhXr1jChtjbuszpa38bjt602hMjF/3UyL9y5MapjqiFEHBBBuPb+OQBsf+uQsd0uRPSW8Sedn3zLd7sX4swvTrSIDRHEmHkTDkmEwCJSIt3SEFhv3reNW54+0xLOsYer9PwYEYSL/+tkx3XXzq6koDhAd2ckJ/1SEmHw3DOhqAhMoZmqS6+h8YUnaXjk91H7i8LChHuEZDtk0B9zJez0V29UPomRbHEH8INMXqCvzjeJd1+pCDHzse0dHSxd8x7Q6/GYMn6C8/n0V3z7q34aidX23u6Ncet+axYtFeXlnDJ5Cu9t2ghorfJ3fljHrKmxvSPmt/pwSBIJSW5+6qOseaKOpQ/tcvSC6Iw5bQjVJw/m1E/1DrW77O4ZrPzrHoacUMoHrzbS3RWhoCjAx748KS1zZ+xeCCGsA/k+cec0I2+lsCTIlPNGaiEmU7hFp7szYvFi2M/d1NDO1ffNNo594c6N1MwY4nwP0vaniXTnsaRCae14Jnztv9lx1zeNbY3P/5+l66oZvd9IoLSMUx58no76PXGNXTZDBn7JlfCDIMp1yXEuyCcxcggIAyNs20cA+12O2Z/g/qCFgcyhnXKg3vsyFbEw53mYP3s9Vq9eWbl+XdxQlzmXJGwTBunuyLqjrg4hYHjl0JjhKnMIRsdJtBQXFVv28ZJn7lbiuvKRPVFCpPa0IdS9e9T4POHMKs64qfcfv6P1bUbC6r4NTQSLApzzH5NT8oTEW++U80Yy5byRFsNeM2OI5fOQmjJufWYB7z1Rx/I/904LtnsxnJ6FOVTjFoKpW33ESNLt7rIKHKcEWIie4ZNNQVJ10RXs+H/f7fWOmIWIENZfnG4tTBNpb2PtDRciQ11xjX42QwZ+yJXwiyDqj+SNGJFSdgkhVgPnAv8AEEIEej7f63LYsp7vf2Xadn7PdrfrdAKd+meRwTfq/ki85EwvIiGeh8UcBnESBunuyGqu5AkGAlx89rmO4ZemlhbaOzosIRhwngs0obaWle+vI9wTlppQWxt3LU4lrsse2mlpVAaa92HouAEWMdLeZK3CMBtlgHBXhAGVRRltta5f1+xhcOvd8e6jdcgwBArg9M+O49Srai37OXWQraguNRq1uYVg3ASdWwKs/nfztmznmAgpnZu8m/OzikuQaOW5orAIGdJ+3naj72XSbabwQ66EHwRRfyVvxEgP9wB/FkK8C6xEK+0dAOjVNQ8De6WUd/Ts/z/Am0KIrwGLgGuA04Cbs7xuRQ+xkkoTEQluISF7P5AZJ06htKTY6AkSbw1uuOV52Ct5wpEIB48cprSkhJbjxx1zSYKBAPNnnkrV0KGu7fMrysu51paLsmXnjrieHLvxbj9mFRknXTCSc74ymc2vWJ2DpRVFls+1syspKAoYgiRW/kQqYQp9vU5VLODcSM0cgol0w7BxA12vq3eQXXLfNiQYlUCRsHPMyiyQKqpLDcERKwE2Ww3XzEIBNMPZdfhg3MTU4Qs/zcTbf2IcY2/rbu5tEW/SbSbxQ66EHwRRfyWvxIiU8nEhxHDgR2hJqGuBC6WUepJqLSaHtJRyqRDiOuC/gZ+gNT37pNceI4r0YPZ2xKq6SUf1i/kc4XCYNZs3UhAMMv6EXs/CwLIBlmPsn53Wb8/zCAYCzJ0xk6qhQy2eDgGsWL/OIlACQnDKSVN71xWJUFZaYjRwa2ppYcvOHVFCxxyWsos0/V71fd1yGVb8dbflXmZ/WvMgnHT+SJbct83IA7G3cB9SU8Yt/ziTza/sRwhcc0TSVQprz/HYsni/ISTs5zV7LwqKArQd7eJofVtUH5V3/neHcU57f5RIN2x+Zb8lNGW+d8A1AVYvK9b3c2u4ls5cEotQKClFSql5OUxdUd0orBhiGHb9Tyej7wevQK5zJfwgiPoreSVGAKSU9+ISlpFSnuWw7f+A/8vwshQuOBlStxBLqmXPbmEQu7BpbTtuOc7+2Y5Tnkc4EmHZ2vcoCAY5+/R5vLZ8GZFIBISI6nkSkZK1mzcZ6zKXAK/ZtJGN263D5wJCcMk55xlixanUd9X7Ws6MaC7kJHEKK/63ju6uiKXRWdvRLq2XiPkZNWhGSxcbsYzlkJoyR2NtJl2lsPbwiJTW8IdZOOjei82v7GfJb7fx6j1bWfLb7YZgMQskM5aSZmLnNDslwLqJDqdQUrr7lViEgkl4yM4Ohi38FKEjBzm27A3HYzv2fRi1zcnoK6+ARq4FUX8l78SIIr9w8na4Vb6kUm1jCc8EAsyaOo31WzY7zpBJtIX9wLIBBAIBTWzY6A6H2V1fb3zn1tFYSskpk6fQ0dlpDPl79LlnLH1XdCJS8tzrr3LdxZdSUV6OEAKBVtxREAwihHbd8LEAzQ8M4p3QbuNYc6OzYKHV2oqgljehk45ZKumaC+OUP6J7bgCW/Hab4b3R9xlQWWTkw5iFkFlImDnl8tGs+8deI2dkynnuA/2c7svL89K9IW1Hu9KaS2IRCibPCMDBRbHftUqqT/B0DT97BfxQ4aLILEqMKDJKot4OL2XPTkmulvBMJEJlRQXXXnypq7CZO+MU2js7Wb9lM0vXvMeK9euMZmnmfev37ze6xgrgpImTKCkqYs3mTYbw2Fn/YZQ3xo4QgrVbNhOJRNiyayczp5zkKER0IpEI+w420nL8OIuXvmNsP+v0eYwcNpyV69fR+WEBhKyCw94szIwMw+O3rU5rxUemptUOqSnjY1+exKv3bAW00l176MYcOjELIbPgMrP+mb1c8t8ns2flEaYvrI4ZUnHLHYk390b3hgQKIFgUINzjrUo1l8QuFAB233cX+x7/U9xjC8orPPcX8YtXwJ4foypc+j5KjCg8k0w5bLqbvLkluZq9F7rocRI2lum+QhiCIBwOs3TNe6xcv844Z1NLizZHp2cfCWzavg0BFh9/JBJhYu0YmltbaTxyOOr+m1tbtTfZnvNEIhHW9PQQcUMIwcCyAWzbbZ2U23DgAJPHjeeahZewYcROXn9lryZICiSzr66huLiIFX/ZHSVEdDJR8ZEOD4vZkOsN2+zJt+3HrN6Ghg1NjkJID0XZCYckz313PZFu2PjCPsewjjmk4pQ7EkvI2RNrRSDC/M9FV/oki10ojL3tDg48+5gRvnGkqIj6h35jTNrNB0NuT6Qd99Uf5DyXpa/jB8+TEiMKT6RSDpvOJm9OYR+ARW+8RiQSISAEC886x/V65uMjUkaFX8z5JfsONjqGZiRENf7YXrfH8XpNLS2O2+O1DZFS8uyrrzBx7FjL9pKSEt7buJGOzk5aC1oZ9LmjdH9YSKAizNonAoQ7e+bNmNFjPEBBkb+6iuoeieNHeoVGOCR55lvro/YtqSiyeH700M0pl9VY9qudXWmU8NqJdGt/mkXZlsX7LSLnnf/dwfSF1TQ1tFvWFU/I1c6utKxPRmDlX3Zz6lXxy7KTwewtKakZQ0f9nqg/uw4fNJqi5YshtyfSglC5LBnEL71VlBjJAbkeOR+vHbkT8SpdMn1PsXqH2AWGPSE1VjXPwrPOofHwYVasX0skEiFoCiWZ9xVCuOaDeMXLOaoqhxreFQls273b8v17G62FYMHBEBzcSffGUk2IQHSnVdMlP/blSUlPqk13p1GzR6KgOBCVYGqmoChA9fQKaw+vntCNvVHakJoyrvv9HB69ZVWUIAkUaIJED50crW/jjXs/sOyz9ql61j6l9TkM2PJu2pu7WPdMveMzGFJTxrX3z+HRm1cZ9xEOSbYs3k/ZkKKEnpvXN9V4YZX2up3s+tWdeWXI7Ym0VRddQdVFV+T8zb2v4ocqKlBiJOtkauR8MtfX8bKOWLkfmb4n+/kXnnUOrW3HGVg2gH0HGxFCRIVonI7Vy3EXnnUOB48cRkooHzCA8gEDWLl+rXZAj7XTBcxZp8+j4cABBldUsHztGkdPiRcEMH/WqSx9b3XM/Q4dOxrzeyeqKocy/VPTeHbxVsfEzWCRINzV21LdjpfKj0xMszWHNbo7I8y6qoY1Tzg3Oz7x7CoaNjRFiYvXf72V1/5nKzKsCZZb/qHNp6kYVcrZ/34i7ce6jLBVQVGAa353Gk0N7ZamcPaKIzMRW7jr1Xu0a7k9g7FzhnLdH+ZYpiW/ee82o9LJy3NL9k3VScCkkpSaK9e925qVCMkMfqmiUmIky2Ri5Hyy19dxaj5m93LEyv3I9D3Zz697c+yiyilEY09sXbb2PYKBgFGCu2L9Wk6ZfBLhHpERjkTY+WGd0W7eTkAIzpl/BoePHmPtlk2ung57+GfezFM99XRPRuw0HjnMkqZ3uPbh86lf1sIbv/nAYrQ/dtuJDKgsck3E9FKem4lptvaKlSEnuPd72fTyfra+3mgIKx097AJaL5HNr+znpPNHWjwuc6+3TvbVPTwQ/SOxh3fs19Pbz+u9UJw8HmPnDOXWZxYY4afXfrnVOCbWc9ONf9fhgwm/qZoFjCgsYuZfXmLIvLMAq/fEq8DIteveL4m0/QG/VFEpMZJlUu2lkc7r63htle6W+5GJe4rXKM1JVDmFaJzuN2wy+JFIhLVbrD1ApMRRiOjXaGtvZ/3WzUgpjXEBdlFy0vgJlv4hA8pKeX3F8rj3bQ/lVA0dSuPh3qRYAYyqqqKhsdFyXHc4TFtRM2fcNIHq6RWWGSp6SaybZ8NLeW66SnjN2Ctxmva5N+4CrSU9caYzCBHtcVn24C7DK+Q0zVfP89CbmTU1tFNRXWp4UJr2tbNhUQNj5lYaU5DjeTzMnWXf+t12IzHXXOnjVjFibmTm9U3V7GqXoS7W3nAh817dZDEsiQgMv7ju/YofEj7TiR/EnxIjWSbd1SWpXN8pZ8TNyxErJySRe/KSW+K1UZqTqBpYNoD3Nm5ECIwy3WsWXsKm7duMKbh2ASGl5PQZp1BaUmIIqZXr11pEi/kax5pbjO+cPCPBQIBBA633tru+Pmbpr76uqRMmsmXXTkMYlRSVWPY5YdRoFsyZw2PPP2tZn1kEmt/MdW9IrL4XXspzM1nCa560G5cYzqVAoUBKrbRXF046brNk9m1sQgS0DF8REFSMKmXsnKFRa9S36YP77B6Pza/sZ0BltJdkSE2ZZVqwXlpdEtnvWjEiOzsYf8dPKRpa5WjsnAzh4LlnWmbOyFAXjS8+xZhbvm4cl4jA8Ivr3o/k2mvUV1FiJAeks7ok3dd38kJ4yQnx2h/ES26Jl0ZpdlHVePgwnV2dPP/6q4aRXrFuLddefCkA67ZsNo61C4iCYJDhlZoHYueHdZSVlloMvRCCc+efYXhCXl221HJ8VGKqEFqb+EDAOM+u+ugumHaklGzcvs2YXTOhtpaW48ep27fX2GfW1Kna3JqeHipuScj2stSCogAFxQG6O537XphFgVuiajpKeN04Wt/G8SNdrlUw8Zj4sWHsePsQr/1yKwVFARb+aDobFjWwc+khI8fDaZaMlBiN07o7I5ZZNG5JqnaPR0FRgCW/3WY8W7uXpKmhPWrAXlUodsVI1UVXOhq4WPNjZv7lJdbecIExq2bnPd+n6qIrgN6ZNF4Fhl9c935EeY0ygxIjCgt2LwdoFRzpyAnxkltib+keK+xjnt2y6I3XHFu266W/Tl4O0JI/Z0yZwvNvvObquZBScrytnQm1tTz63DMW4WHujmpcNxym8fBh5s6YybK17xnXnzpxEptsrd+d0GfX6Pd32bnns233LiaNHWe0iPci/izhiq4I5/zHZMe3dzOZSFSNxdH6NrYs3m+EPIKFoneyblEABFFTh0VQe+5m0bL9rUNGFVF3V4Rn7lhv/FACBXD1fbMdZ8kAhqgoLAlSUV3K7y9/i+7OCAXFAW55+kxXT9HV981mw6IGygYXsvQBrR+MU16IU4irJJJcxYjdEO6+7y7G3nYHpbXjGTLvLMZ//b/ZcdftgOZhaXzxSXb96ofGdU558Hma160ibrwLf7ju/YifvUb5HD5SYkQRhdOANp1UckLi5ZbYK19074DbdF5dMDnlj4AWLtGvYfZSmGk8ctjS4dQNvdomYhMiUydMjJotA7Bi3RouOec8y/2eOnUak8aMZdX6dTQc7M35qB5exdRJk3hjxXLHZ1MzcqQhQhLBbgRPOt952J2ZTCSquuE0QyYckhbRpK+porqUfRubkBKqp1ew452DrHh4F5Fua9dZA9PHSDc0bGiKCr+AVVRMX1jNvo1NFk/Ja7/ayuyray0VOPraH79ttZE/ok84dvM6RYe4kqsYMRtCgH2P/4kDzz5meEiqLrrSEB+isIjQsSMW8dK8bpXx/a5f3alCDEmQCa9ROkREvoePlBhRONLU0mLxiABMnTCRU6dNTzrEFC+3xF75onsH9PWYvTX6XBd9qJwxayYQYMaUkygtLjYm9e472MjFZ59rlPN2dHayZrO1A2q8HiDhSITOrk7LtllTp1nCP2b0ZFr7/VaUl1M+YIAlXHXO/DOoKC9n5LDhac0lSibPIxOJqm44zZBxEk3638fOGRrVm+Ssf5tE9fQKHr11JZGQ+7X0BmlN+9otyb1X3zfbEBUbX9jH9ItHWY7b/M/9bP7nfmNtuqfIniR77n9OjtlLxCnElUyVi24Iza3gzaGC0trxnPLg86y94UJkqIsPH/gfSzIsCBViSAPp9BqlS0Tke/hIiRFFFG4ekUSFiFuJcCL5KtAzH+b1V40+IpPHjTc8FBEp+XBfg6PIaWppMRI9g4EA1/YMnmtqaWHdlk0WL8dJEyayZcd2Y5s99BIQguKiYst612za6Cpg9HbuTvfrJsoykUuUaJ5HphJVnbDPkJl/0zhO/VStkZOx+ZX9CIFRkguw+ZX9FhEAaB6T2LnBRoO0N37zgSV/Y8OiBosnaM1Tzn1O9O91T5FdtJnXqBOvSZwuQEpqxrDupos9G6PS2vGWVvD2UEFH/Z7eRFZbMiyQd03Q+jrpEhF+Dh95QYkRRRT2sEcyHpFkGqE5GemmlhZjUB1ouSaNR6xVF4eOHXP0KOz8sC6qf8isqdOirhsMBCguKrKIk5lTp/H+1i3aDJtAgEvOPpfyAQNYsW5N76wamxCZNnESEti8fRtSSha98ZrrfecqidlLF9VMJqqasc+QaW8KGWv8/SffMib2vnnfNm55+kya9rXz+q+3Wo55875tWsmvE0HAJFLajnZZwjnBQsH0hdVsfGFfr4fGdCq9W6tOQVGAtqNdHK1viyvanEqIzaEee18QXTx4NUa6h6TxxaewlxiV1IyxfB50yhyj5wigElN9RrpERL4nHSsx0s/wUlpr91AkE5pJthGa3UjvO9hoEQmBQIBTpkyx5HnU72ugrmFvlOixOy30z/ZznjLlJEu4JRgMMm3iJKZNnBT1rC455zzDS2NvbDZy+HAAI0k1F03tYpHt5NR4mL0LoLVh3/jCPs784kRDiIDm1XjuB+upf+9YlAfESYgECmDcvGHsXHbIYqY7W0KGwBBBmHvDWCpGlXL1fbN55OaVlnPbe440bGhiyW+38eo9W1ny2+1Rw/Ts2HNvzKGhm5/6KB22viCisBAZChEoKU3IGOlejl2/+qHhUemot85Jsn9Wian+Ip0iIp9/tkqM9CO8eivS0QslXY3Q7E3L5s2cxeRx2v9sm7ZtY/CgCjbtcDb+E2prjX4hwUCACbW1jmsrLiq2JLeePuMUS+jETM3IkVxnKqvVq3jM95jLpnaxyGZyqhd078I7/7vDmAUT6gizZ9XhqH3rVkW3yRcBbRidmQlnDmPPiiPsePtQ1P7vmVrNyzAse2AX7z5ax4IvTYwSOWd/9UQqRmmNz/Q/9bCQ3n1VSq3J2qhpFVEJrmahZU6w1Z/7iea34ZJSIhFtAYnMP3Jz7+e7u74/ks8iIl0oMZJjsjk0LxFvRaphBC+Cxsu9txw/zoihw9jbeACApe+tpqykxKg82X/ooJF86tX4O5Uvr3p/nSEg9MTXWMfr63W6x1w2tYtFNpNTvaCHjKYvrGbDogbD2DsJCSfsQgS0XJ9ut7CNA6GOMG1Hu6Iqchb/fCuv/+oDS6Kr/uwKigOW3BMds7fJHMapqC41kmT1515aU2a8DXcdbrSU4x5b+RZA3DdlN9Hh5U07n0tAFX0Tkeok0r6OEGIQ0NTU1MSgQYPSeu5sD83L9ZC+RNdSv38/z7z6StSx1cOrLKWxoCWMXnrOeZYS2C07d1galJ07/wymjJ/guh4/Coh0k+7Ju6msQw8ZBQq0EFq8JNRkGHPaEOrWHHU9twhCsEBrBieE+/igS/7rZGpnV0Z1X3Xa75TLaqK2x3ru9mqKUx583nNCazKiItYcG0V6UaIPmpubqaioAKiQUja77ac8Izkk20Pzct2K3szOD+vi3vu23bscj506aRKNRw5bkmyllBw8ctgiRhIJFeW6K262yFZyajzMISNzkmi62fPuUUTQ/fvxZwxjx1uaJ8YuREQQYxpw21EtwfSUy2o4Wt/Gkvu2RXlgYnmbYj13uycjkeqKeO59J2PoZY6NV/xobP2ypnzv+5FtlBjJIbkYmpeM0bX3+EhVzDS1tLBi/Trjs7k5mZlJY8exacd243N1VRVzTj6FmpEjGTlsOMvXrmF7XW9ynt2Y+El8KazUzq50blaWAWQ4ehovQEFxgOkLqw0xAnDeNyazd30TH7zeSLgrQqBAIJFRiau3/ONMo/TYKWckUeyiIh05H27G0GmOTTLlpH40tn5aU773/cg2SozkkHwwlpauqMEgSEm4p99HsmGefQcbLa3X586Y6XiempEjOe+Mj/DqsqVIKWk8fJjyAdqY+YrycubNnMWuvdoAumAwaCSomukvHo98Y0hNGdfeP8eoMkkWpyRWO8FCwcX/dTKtjZ20H+vSRKuA0ooiWhutjexKBxUx8aPD2fyy1ujMLGD0xNX5N45nSE0ZZ9yUGcOSTHVFPA9IpL2NxhefNPqNaHNstMZoyQoePxpbP61JJRInhhIjOcbvxtLSFdUkIFIJK9k9QrqI0D0wQggaDhxg0thxSCmNCgP7NSvKy7nW52JO4Y4+XXjzK/s5Wn+cdU/XE+nWSnNrZg1xrKCxE0+IiIDWYv6FOzdauq3qBAuF4wBBc7KqlJJwl/Y7+MZvPgBwbHKWCnYxkUh1RSwPiG4MRXEJu355p9GJ9fSX1zPv1U0phTP8aGz9tKZ87/uRbVQCaxwymcCaD2TCM6Kf197czN71FWDSmLHs+LDO6L6ay6RbRfqxt3df8KVJnHS+lvdjbnyWDmpnD6FudbTAmX/TOEoHF1lCLhXVpUboZfMr+6MSVguKAtzyD+cheomSamhh3xN/ZvPXbzI+n/SLB43ck5KaMXTU76Hr8EF23PVNyz6jrvqXtKzdb8bWj2vqz6gEVkVacCqDTYcnwqm5mdOwu217dgNatczCs84xhIvyhvQN7DNeBlQWAfDe/9URiWgvSsFCrXQ71URXJyECWjO0dx+rs3hMzGW6J50/kiW/3WaZHtzdFWHzK/vTEqpJNbRg9waU1IzprZYpLmH8f/6IQaeclhGPgR/7Y/hxTYr4KDGiiItdOGRCAAgRe6S57Bk851YS7FWgKCHjL+zNwQKFIsojEi+nxCk51Uy8vJK1/9gbdXyoI8w7/7uDj3x+AkNqyljwpUlR3hH7r2yyZdP2cErX4YO01+30bFBjVePIzg523PVNo2S4o35PXngMlHej/6HEiMIXNBw4EPP7QCDAwLIBjuXQgKf+KX7qs6Lo5bRra1nxl92EQ5Lnv/d+wgmtupAQQRg1dRAN71s9wTICgaAgEpYUFAeIhCMWL0ukWxrfm9Hb09/81Eepnl5h+S5YKJhyXm8ZeSqt9nvnzDzJrl/eyY67vsmuX92ZULjGnLRaUjPGEDfGPba30bxuFUVD/dMR2A0/VcQosocSI4qc09TSQqg72gc/a+o0urq62LRjO5FIhEVvvMZZp8+z7OMmUJxERrb7uihiYzbgOuGQtI5Mto9Pprf/hx0Zhob3mx09ISII5/z7ZMpHFPPMt9ZHHTvvX8YydNxAKqpL2bCowdKefvMr+zmy57hl/499+UQA1j1TbzRDS6XVfmnteIqGVhHp0IYHxgvX2D0HTo3TDr/xEnX3/8w4Ztc9PyDS2eHZwLfX7aTxxScBQdVFV2RNEPipIkaRPZQYUeSUppYWHn3uGcvgOp01mzYard5BExB2D0pr23HP/VpS7euiQjzpxWzALZiEyNQLR7Lpxf3GVwOGFdF2pCvmeWUkeuJuuEsyoLKIPSuPRO1fUBRg1lW1DKkp42h9G2WDC3s9KUWBqHyRwpIg1dMroqbyptpq32sliJPnwG7AO+r3MGDiSZbjIp0dxvfxDHx73U6Wnz8d2XPMrl/+gNP/+X5WRIGfKmIU2UOJEUVOsU/QtWOu9ioIBpk0dhwf7N5lERRe+7Wk0tdFhXjST6BQxM7nkBj9PnSOH3IWItHnEYigNDwoBcUBamdXEigUhtcDYMJHhzH/pvGGELn/siVGmChQIJh7/RiWPtDbCXjmFTV85PMT2PzKfosnpKmhnavvm82GRQ1MX1idVJWN11JQJ8+BmwE356IIIYzS3ngG/tjKtwwhAhDpaM+ah0KVxPZPlBhRZBXduzCwbACtbccZWDaAgBAxBQnA1AkTOXXadFdB4bVfS7J9XVSIJ73sXnXYMVxiJ14fEcAx38OekLrgS5No2tfO8997H+gRL2hD+erePcon7pzGqr/utuSrRLol7S0hi8fjI5/XZhst+e02Y7+CooBlGJ6eZ+ImSGIlunqpBHESHm4G3LwN4g/fM19DFJcYgiRQUppVD0U6K2JUMmx+oMSIIms49RIJBoOcMmUqXaEuOrq6GFdTY0zk1SkIBg0hArlpFJeL1v19mQ2LGjzvGyiESMi20ZRLYhcidgqKA1RPr+DRW1YZIsUsckIdYVdhtPapeub/yzhKKoo46Xyt0dm6Z+otYZuPfXkSTQ3tnnJGUkl01XETHmYDbjbA5n4iiSTEzntlQ05yRtJJX0yG7aviSokRRdZw6iUSDodZs3mjJfQxcthwi/fEDzka+dC63yt+mNw7fWG1JVzilpQKgBQMP3EgBz9oMTadcdM4Vj1aZ5QEx6rAmXPdGPZtbHIt/401rVeGYekDuygsCRrN2MzlyIUlQaOqxlyiXFFd6ni+VBNddWJ5DtJlgEtrxzPmlm8kfJzTenJlPP2WDOuUeJxo2/90iis/CRslRhRZY9TwKteQjDn04dcW+X5dVyKk4808HYydM5Tr/zSXDYsaKBtcaMnLsBPplhYhAjD+I8OZdVUtdauPcPxIV1QPEDNlQ4pcxUawUHD2V09k8c/djwercBhSU8bNT300StBdfd9sY9bO47etdny2diETK9E1GUPRXreT3ffdlXMDrK+9pGYM6266OGeeCT8lwzpVPCXybNL9s/Wb10iJEUXWaDl+3CJExowezZ69e43P+w4epK29gwm1tXlv9P1Kut7M08HYOUMZO2coR+vbDC9HQVGAj315EgOrinn2O+tdvSWrH6+jenoFU84bSdO+dtdrFBQHDM/FG7/+wBLS0ZNR9ftf/IutUWXEOnZvhy5KzDQ1tBseGrdn6yZkzGgltU+x857vIxMsxdWNi45ugLP5Bmxeh3k6cC6EkZ+SYe1emv1PP+JZWMT62aZrPbn2Gikxosga23Zb337NQgRg03YtKXDl++u4NsfVKn21jDeRN/Ns4WSgj9a3IRBIF3Ww+Z/72fzP/bx53zYWfGmS5buZV9QwfWG1MWNGP+91f+idEqwno+rXev1XH1iEiF4arLWiJ6a3Q8f8bAuKAxw/0sXR+jZjf3N47JTLahzP4WR0vBoKs3EBGHX1vzL2tjsAsvoGbOkAG+oyBEmuPBN+aQ9v99KMvPwzHHj2MU9eG7efbSr35SevESgxosgik8aOY9OO7XH3C+e4WqUvl/F6eTPPBva8Ff2/o/VtrHumnuNHuuImpoI2z6a9yVruWzq4kIpRmhfDLD5ufuqj3PrMgqh7r1t9xJJzEiwUXHv/HJoa2mk72sWr92ghnHieJP3Zblm8nzfv3cZrv9zKW7/bzs1PfRTAU3jMbnTA+xuwk7E7tvItug4fzOobsH0d+dSGPpM4eWm8em3szzRVIeK2nlyixIgia9SMHMnUiZMMD4iOEAIBRggnmONqFT+W8abTU+MUYsgmbnkr5u2BAmFU0QQKBKdcPpo1/1cfda5AgaCz2Vpqs+yBXax6ZA+RbmkImlBHmDVP1DHrqtqoc9jn41x7/xzGzhlqrHXJb7d79iQNqSmjbEiRMVtHFzD63/U/tyzeT9mQoihBaDE6JaWM+487qbroSkCbzhvLaJiNizlXQxSXECgp9dxjJBX0cJASIM7YvTRevTaZEg5+8RqBEiOKLHPq1Gls3bWTsKmqRkrJrKnTaG5tpXzgQKZNnJRT4++3Mt6+5qmx561sWbwfKWH/piZju7nyJRAQTLuwmg3P7bN0bBUBmHfTWJb+MTr51Vx6q7P0gV2s+Osewl0Riwiye4ugt817Mp4kt1CYOYTz5r3b6O6KRIkfJ6Njz8GY+ZeXGDLvLMdr68Zl3xN/tgzLG3/HTykaWpVRcZBoQqSfKjnyAT8Jh0ygxIgia+hv9xefdQ6Nhw+zcv1awpEIwUCAdVu3EO4xttMmTop/Mts505nbkeky3kTXnJKnpnUXHFoGw+bDwHGpLDtt2HMr3vjNBzFLc7u7IjRsaOLML06ko6mL9pYQ656uJ9INS//kXIUTKATZHV2yG7Z5LHSPjC6Imva1G83L7ILFK24CRt9mrv4JhySP3bqKW59ZYOxnNzr2HIy1N1zIvFc3JeTWr7royowbskQSIlOt5FBCpu+hxIgiKzi93VcNHcq23bsoLi5mzaaNQGLGNpMeg0yV8Saz5qQ9Na274OUzINwGwTK4YKkvBInZWB/fv5/X7jto+d7ec8RpPoyBw6bRJ1ew9/0mx2sHiwKGZ6R2diVH69v4/eVvGec2t5VPpdrIScCY82LevLdXgIVDMuZ1Bs8901KVIkNdcfM+cpEPkEhCZCqVHH4rSVWkByVG+jHZrBixv93vqKtj5fvrCIfDBAIBgsGg4Rnxamz9mNsRj2TWnLSn5tAyTYiA9uehZb4QIwBDBh9gyORnOXrwjywp+G+6u4sBKCgWXPP9JpraJ1Mx7oSoJFI7BUUBwqGIxQNiFyITzxzGwOElTF9YTcWoUovHwt5N1dyZVZ9n44VEGskNqSnj2vutlT2xrlNaO56Zf3mJtTdcmFBVSrbd+qkkZCaSx+K3klRFelBipJ+S7TyEUcOrDMERDAbp6Ow08kYikQizTppG5eCKhIyt33I7vJDsmpPy1Aybr3lEdM/IsPlJrDgDmDw2QwbBLbd8g82b5yIGT2fK6EcY0v6htt6TlsKccRzdupUlxZJQpzBOUVAcYMGXJnHS+SOpX3805pybeTeON3IyaN3FkFOWweD5wDhteF6BcOzOuuBLkzx5RZJpJDd2zlDHyh43hsw7i3mvbkq4W2c6PCOJnCcbCZl+K0nVUaGj1FBipJ+SE6+C/vrq0A6ztKSYKeMnJHS6fGzRntU1DxynhWZymTPilLNi9tgAQ4Y0csYZzwPP9x4XboPN98CYTzNkw6e5+fMDqas/mYqZF9IUnkvtGScaBnxITRnl4bdZ/df3+eCDOYTDRQSDXZx44ipmX3+yJkRad0H9s7DxJxDuMMJWQ2rGcd3v51jm1gC97d/j5dy07qLu5dWEOgYAiYV2Es1FScTT0V63k+XnT0d2diCKS5j3yoakDGQmQyLJem78VpIKKnSUDpQY6adk2qtgDgEBvLdxA+GI5gMPRyKUlhQTDASMBNbxJ0SXXHohH1u0Z3XNA8flLjTjlrNi9tgESqD6Iqh/Ovr4XQ/Dnr9BpIshQ9oYMuRVCL+qHTt4KbRiCIWxZ89lbOe/c/Tw49TVTaG2dgtDhjXD2cut69Axha3GzhnKF5/VvBQV1aU0NbRr3orBB2Ln3PSct7Z7IIWFPycUKs56Izm3t/HGF580Ju7Kzg4aX3wyqTkzuQiJePEweBEy2fRUqNBR6igx0k/J5Bu6OQQUDAZBSkOIgDaFd/wJtYw/oTavvBq5JKH8Hr9U0LjlrNg9NgD7XraKBZ1IF4gikKbGZuG2Hi/H3VahMP3bDFn/fYYMadT2m/Yj7Vq7H40+ty1s5eil2B0n56bn/oYMaePmm79Bnfw2tTNLNRFD5p977LdxYdvb/tkb2Q6JpMvDkG1PhV9DR4mQ6zCTEiP9mEy9oZtDQOZ+IgBTJ0zk1GnTjetWlJfT1NLClp07lCgxYfcsec7v8VMFTaycFbvH5oKlsP6H0R6SQAmc+EUttLftfoj0hFggWijUXGoVKDWXRq8jUALTv619F++5xMu5MX0/ZGgzQ8S3oK4D9qb43D2KyVhv41UXXcGuX/5Aa3RWUkrVRVcktZRsh0TS5WHItqfCj6GjRPBDmEmJEUXaGTW8ygjBBAIBBFpopiAYtAgR6HsNvVKlqaWFTdu3sXbLZiI9z2zujFOi8nsAZ09JvAqabHpNEs1ZaXix9++BYpj0Rdh+P2z5pWb0FzwBbR9q52qr7/WY6ELBfL2yE7Q/k1mH1/Wbv+84COu/r21PpXIpATFpfxsvqRlj6dJ6+j/fT4txzGZVTro8DLnwVORzUzI/hJnyRowIISqB3wCXoHUXeBL4ipSyNcb+PwQ+DtQCB4F/AN+TUjo3IVCkDyF6/hBcfNY5HDxy2HGMez6W53ol0dLpppYWHnv+WUtIqzscRkos+T0Dywa4C7hYb/O58Jp4zVk5tEzzeuhM+iJ0HdGSTUFbc9uHMPY6aHwLllyhCZFAEZz5995r6H863Wcy9xrvOP371l1Wr0yylUsJlGPrb+ONLz5J6OgR1t240Gj5rr/Z+tU4uoUE0uVhyHdPRbbxQ5gpb8QI8AgwCjgfKAQeBP4AXOeyf3XPf18HNgFjgPt7tl2V6cX2Z/YdbDTCM+FwmINHDrNy/Tq6w2FWvb/OYjzzsTzXjJvgSMbjs+9go0WIAAQCASbU1jKhtje/JqaAi/U2bzd09c9CyfDc55ZAdChl+/29QgR6DXzrLnjzit4ckkgX7Pk7lNU4V+sk4qVIxWuUrsqlJMqxd/3qh0lN+c0V8UIC6RJRfhZjmSbR/A8/iLe8ECNCiJOAC4E5Usp3e7b9G/CCEOLrUsoG+zFSyg3AlaZNO4QQ3wH+KoQokFJ2Z2Pt/RG7wJCSqIZnZaUlhgHPt/JcnViCIxmPjxDRSYYzp5xkOW7fwUYGlg3ofb4BGDXAOrXW9W3ebvBtZa5ZFSR2w+8W8gCouRwqZ2l/P7TMmswKWtVN3RPO1TpevRTp8Bqlo3IpQVGTypTfXOGHkEBfJtn8j1yLt7wQI8B84JguRHpYjBauOR1wqAt0pAJoVkIks9gFBsCq99cZ1TX6TBqzAc8nEaITS3CY82aCgYAnj0/DgQNR26b2zOlpamnhsUXPGU3jLj59Kq2rvssouYmKt9u9GU/d0NU/C0fW9CaLZrs7q5vhdwp5BEqg4QVtrRt/Amc+0Ss0zMSq1nHpD2L53k/dahMQNWb3uiguYfx//oiqi67wtXH3Q0ggFrmoKknnNfNV7OWLGBkJNJo3SCm7hRBHer6LixBiGPA9tNBOrP2KgWLTpvyzkj7ALjB0cdLe0cHSNe8B+Z8jEivE1HL8OEaKjIPHw05TSwvFRcWWbWZPycbt2yyhr8aGDZzKW1rFZhitQdhJ/+nNiOmG3rhQkZbwmSpewxyxDL9+jjP/ruWINH+gJbCC5sU58p4mNDbfo3lEzPcQq1rHvk67GPJrt9o4+MG9nih+XnMuqkrSfU2/iz03cipGhBB3A7fH2e2kNFxnELAILXfkzji73wH8INVrKqLzKfQyXj1/JB9zROzMnXEKUsKE2lpDVDW1tPDca4uJ9GTshl1El/58BpYN4PnXX43KF5FSGpUz+iBB41g5wuohsIcqzMIANG9I11Fo3W0TIkEt7PHWp1MvR/Ua5nAz/E7n6DgYffzAcZrwqnuix3tSBAue8r52JzE09rrcd6tNkly715Mh2TVn2muRC69Cuq/pZ7EXi1x7Rv4f8FCcfXYC+wGL1RJCFACVPd+5IoQoB14CWoDLpZShONe7C7jH9LkcqI9zTFrJ5gC7TOGWT5HPOSI6TS0t2qA/U7hpQm2t8XNra+8whAhoSah20WV+PgJwKDQCNO/Ijrq6qO2b6w5w6rmvUbHjp9HhFoCX5mnVKaJI855EuqLOYWkmlmpoIpEwh1sYxekcNZfChp9o9xIo6e0dkkrCqJsYymW3WkVcsuG1yIVXIRPXzEeBmlMxIqU8iFZyGxMhxDJgsBBitpRydc/mc4AAsCLGcYOAl4FO4FIpZYfbvqY1dfbsr58j3iFppa/03eirJbvmn4+OnpSr58UEAgHLMVJKWo4fj2qPr5/DTYgA7K6vp7ioKGq7lJJ9h5uoMPfmCJZohrX+2d4yWdnlfIGay2Hiv2oekVihCQ+zWYy+HomEOZwMv5NIGDgOLlzuvIZUynXz1AuSbnLddTMRsuG1yIVXIV89Gekm154RT0gpNwshXgL+KIS4Fa20917gb3oljRBiNPAq8Fkp5coeIfJPoAy4HhjUsw3goJQyHHUhH5AOI55Nz4rbtdzyKer37+e51181Gnrlm9gy/3x0CoJBhOitGIo4hFv0sE0wEAAhojrTulFUVMSmHdujthcEA4wK7LD25qi9Vuti2mnX9wWALWe7cpZWDjvtW9pnp46k8UIv9u/1PI9kDbybSMiEx0J5QXzRdTMRsuW1yIVXIR89GekmL8RID59BEyCv0tv07N9N3xcCk9HEB8CpaJU2APZ/zccBuzO10FRIte9GOj0r8URNrGs5hWPsuRT56DEx/3yEEMw6aapR8aLnwgghkLYOb0b+iE2oxCIYCFAxsDzqXBPEu8wPvESF+Ir1gF0POpykBE67F1bcSq8gKYDSaquQqDxV86hArzCJF3qxf683JfOKk9fFXFGz+9F+77nIJPlWdaE8CH2bvBEjUsojuDc4Q0q5G9M0KCnlGyQ7HSqHpJJT0dTSYnH/p2LsvYiaeF4ce0XNvoONcXMpUiEbHqGK8nIWnnWO4d1Zt3WLIUZOnjyFNZs2RomHRKitHs2JY8cipTSejZ6bAhAkxPzgc1RwGNZ9J/bJxn0WqhbAB7/F6hnphpVfBD19KtwGb1yGVpaDlqNx4fKEZrMkXIESy+vip/k66SBdLfjT3Mo/H6sulAchs+QybJc3YqQ/kUzfDadchlSqVbyEixL14pj3DwjBJWefmzbRkM1cm8bDh41QTDgc5r1NG9m6a6fn0IsTujelfv8+Zp00lZqRvRXr1158KTs3v4nc+WcmiNVUiMM930TQHIIhraLEnKQqCmDQSbDi884XjMrjNq090uGtwiRW7kU8wxnL6+L2nV+mESdCuoRVBgSa8jQozOQ6bKfESB/Bnstgn44LiXkOvAgNt1CM2zUyWUmT6YRZ833Zc5o3bd+W8vl1b0okEuG51xZz3SWX9Ya82tcyq+4mCHSh5WybGH89DJurJZC+8UkMD4jsju85cUMUaiW1rbus2+1iwJy8ah5K58VwxvKqOH2XijHOhIhJR0+VRMhQUzblaVDo5Dpsp8RIH8EuHlKdjutVOJi9OF6ukaluq5mccWO/r4VnnROzHHfo4MEcPnYs6etFevqLVJSXR89iwZZzMnCcJgbWfZ+oJFX7vl6RIa0d+4afaOeIdPWUAUsg1Jusqlfi6OgiwYvhjOVVcfpu96PJz5tJd8jHcs4SmPbt6ATgZKuM3MjTpmyK1MlW6CTXYTslRvoI8cRDMp6DRIVDLst5s+l1aW07zqXnnm/kjZgRwKyp03hjxfKoqptEGFg2QPuLfRaLKNSuIru0vhul1fDGxe4nOuEq+PAJ20aH6honzJU65jWE27ThdG4t2b0azlgVLfbvkjXG6fYotO7Sur8a5+zQhNvGu60N59JZZQSqHLmfks3QSa7DdkqM9CFiiYdsTMfN9QTebHpdKsrLue7iS3lv4wZL6a0E3lixnIVnnUNr23GEELy2fBmRSIRAIMC8mbNYtua9uEmurW3Htb+UndCbDyKK4GNPaSW5ulHafE/M8zBkhjbbxfwW37oLdjpU3iRC1YLeDqg65t4g6TacyZ4znR4Fs8iwE27TfhZjPm0VaslUGbmhypH7HamGTpKZ3pursJ0SI/2ERDwHyValOA3I27JzR951WnVqY7/wrHPYtnsXk8aOs9zL4EGDCAaDluRV3XsyZfwEAEYOG2453/iaE9hRV4cQMLxyKAePHKa9s5P1WzYbHV1HDa/SjN9bn7YKkaoe16lulMZ82jqjxYwo1MIHNZdaW8O/NC/1h9TeoL3x6yEkUQSn/dqaO+JlQF2mSUTEJJJ068Suh6N/FoGS5JrJKRSkFjrJdUJqoigx0o/w4jlItSrFPIMmHzvJOq275fhxnn1tMVJKtuzaybxTZlJWWspry5YajcymTpzElp07jGZuZq+Q/blXlJdz6rRpxme9cmbaxElWEbj7uV7jJ7u0N2w7VWfCWc9rb+NVC+DdL2uhA1EIH3va2r8DtNyLiL0RcU9FTiJs+G+oXtgbvpFdsOpLmnByC02kmoSqHxsogekOeRpuxBuad2iZ9rz0cudAEUz6EhRXWq8xbL61hb7OsI/AoXeczy+AtvroxN++VLqsyBiphE5ynZCaKEqMKCykK+/Dz+3gzZ6PluPHDY9HzciRUeveuG0b67ZutlS76FOHdcKRCJu3b0MCASFYeNY5Sd1rlFj0GmKoOrPXYzL0tNhv3MPmR5cBjzwb9v+z97MIQrwGxZGu3pk4oBlp/ZzhNlhyRa8wuWCptt2Sa5Fg/obZKxFxyNNIhsa3bMnBpnvb+ivt7xt/Ahcs7xU0H3sK3ry8tzQ6WALT74hO5tUJd0Q/iwxVxij6JsmGTnKdkJooSowoLCSb92EPbaSSP5LJ5mVmz0dACKMJ26Yd25k6YRKTxo61hF3WbtnkqYmZvkdEShoPH6a17Xjq608mTyJeXsHAcdqEW90IB0qg8U3TDjGESM3l0PBitGdl5Mdhyr/DW1f1eGUKrMKk/llNODjll3jFLMx0UjHkrbs0kWAXInbCHdZrVJ0JF62CHQ/B8T3afJ+qM7WfU/2zmsfI0u/FJtISSfDNJCpM1OfJdUJqoohUukX2B3rm2TQ1NTUxaNCguPv3BRIVA3YDf8k551EzcmRSoiLT4Z0tO3fw6rKlrt8Hg0FOmTyF9zZtNLYFAoGoqhk3AoEAAozcj6yFp8ylpF4qN/T9Ow5qXgaDIJYGaDp6zsq+xdC0CQ68bm2cNv4m2PlXosI9Iggn/luvpwG0zrAn/ac1fOM1p6P+Wc1bEe5ILcSx+1EtLOOFs57v9TyB1aPi1D22/lntz65jMHohvPvv0SGZbIoBp/4wKkykyBLNzc1UVFQAVEgpm932U54RRRSplPRGpOS511/luosvNc6x72Cjcd5EzpWJ8M6o4VUEAwHXGTHhcJjiomKLV2fhWedQt6+BNT0CRQjBufPP4PDRY46eE/3cbutPu+fHqcojnpExz4DRjbsodOjMiiYo5v4Wllxl8orYmq+5VefIMGz9jXXboJN6E13Bu2EcOA6mfMWakOtk2N0MvXl72Qnu92vHnKtj96g4eWf05wmaJ2nBE9ECMVuVMU7CQ4WJ8pJ8mrCcDEqMKFJm1PAqS8gjEokYAiRRL0dWyoN7Wqg6iZJgMMiE2lom1Nay88M6pITyAQMoLS429pFScuTYMd7/YAtSSstgvEgkYjwLp/Un5flJpsojlpExnw96Y0xCgChxSHANatUzlu2JNFSzeVrW3dFz2jJtanCihtFsyJ16euj5G3ZPhJEAWwwyEi1ERn5cC1lFOnu3iSLtOTW+pSUJF1VGh2HMYZZDy3qFCGjPLF2lvcngJDz8ECZSJES+VcYkgxIjeUo2hsJ5paK8nEvOOc9oAqYbYTcvRyZbxsd7LvsONhr5IOFIhPkzT0UIaO/opKS4mAm1tcYa9Sm8q95fx8mTp1iv09pq3JvdM3LO/DOMQXcpN59LtLW6jpuRsZ9v2rd6RUakC2b8CEqGQ9PW3tCK7gUImIRKoAgiYRxDOl4Jt8G+f/Z6KBIxjOYwk9nY2nt86OLGkgDbGX2+YBmc+jMtxGIJW0k4/K5txk9PKEsUaqGrqOZsJb2CxK20N1s4CQ/VQC3vyLfKmGRQYiQP8WPZbM3IkVx38aVRQsDu5TCvPRgMcvqMUxh/Qm3Mab9u2IWHl+di97zo4sOOXTSUFhcbia3BYJDpk05kz956LU/GllMipTR6jNhJ2POTaGv1eDkj9vOB1Vjppaytu2D7H6zbay7VjHXXUfjgd0AXIGDUJ2Dfotj34cbBt3v+Uqh5NbwM22vdBS/P6w0tmalaoAmSSIcmBEQhLL0RigZbRYKOKISx10PrNnjvmzDibOv3MgQ77CEoXYAJrQGdmYHjtOqb+me1z17LjzOFm/BQDdTyinyrjEkGJUbyEL+WzTr107B7Obbs3GGsPRwOs3TNe6xcvy6moHLydliSZgMBLjn7XFrbjluey3sbN0TN6PHqebGLhvEn1DK8cqilDFg/z8CyASx64zVPAiNhz086WqvHOp+9KZrZWDkZsSlfsfUqkckLEQuh3twMPQl0w0+065jLg+uf1QSMLirsoZaGl3qrgSJdNo9GoVbpI/VW+AVQcxnsMokNc4kzaGGY0Rc79xGRXe7icMpXvN545lHCI+/Jt8qYZFDVNHHwYzWNHz0jXjGv3cy5889w9Ca43au9KkYAl557viEKdIKBANeakmmdzq/nhti9JGYRBLHzXzIaNkt35UWy5zM3CFvxBdxHBSbJWc9rnganluszftQrTtJGgJi5L6IA5t7fWw0T9X2hVuarDL3C5+Qy+VVV0/RhMjkULtPoa99RV8fK9Wut7c8dcPMCjRpeZUkclcDBI4e5ZuElLF+7hu11ewAtL2Tnh3XMmjot6txNLS089vyzRhLryvfXca1JZJg9PWaPjpM3KlNzcYD0v9kmc75Yc1nSRduH2n/2a4igdv2UhYhdfMRJwpVoibuO9xy0driNh+rr4Vv6epVKviS/KjGSp2TU+GUYvR36hNrahMMlumipKC9n5klTjXJb0CbcV5SXM7xyqCFG9O1O7DvYaKmmCccIeaWtyidfjZLbXJYhs6HpfWuFiSfswqCwNwSlh5H01usyrJUOO5bixvFuAJSN1TrT7n02wXV2az+vqKUXaY3jqjzG7VVfD9/id0OdDqGUL8mvSowocoaXPiSxvEDTJk5i/dYtRlLphNpaQAu3rHx/XdR2O/aeI8EYIiMt3qh8NkpuFTvz/6T9vf5ZOLLG2iI+JhEsDdYCWrm1JVel4Z/W842+WKueOfR277ZRH4d9L8W+VNtuzcMRr9uqE7v+av1sb9jmBdXXw7f42VCnSyjlS/KrEiOKnOE198XNC1RRXs61DgLBbbvj8Rdf6poz4nUdnslnoxSvYmfKVzSxte/lBEI5Jo9GpEsTNFO+0htGKjvBKkYm/iscec8qRrpbvV1KdvXO5BGFWuLqh08RP1QTwhBNwbLEhQiovh4+pqRmDKKwCBnq8p2hTpdQypfkVyVG+jB+6kXihNeqoHh9SRIRME77OeWTZIR8N0pe5t7oguXgSmuViiO2+FnnEetn80TiMZ92DoscdG/tbyFYBtO/B+u/qwmMhhfglB/Duu/i2CvFMkwwrH22lx57JdW+Hvka2vM57XU7WXfTxchQF6KwiFMefN5XhjqdHo1kh+1lEyVG+ij5UHHjJQ8jH+7DM/2h2ZR+T6v/I/FjiyujDa95IjFYW7MDVs+Gw1wdUQAnflnrLrvu+73fh9t6hUigCCrnWj0u1QuhsBx2PdxzmS6HaydAsknI+Rza8zlmz4MMddG87l2GzDsrK9f2kguSLx6NdKHESB/Fr71IzHjJw8iH+0iI/tDzwd4SPSYFQLfWkKzy1F7DKwrhxNtgwo3RHU4DTi3rARHoyVY2CZTJ/wHb7nMJHZn6kQw9zSpGJv6rVmZc90RuPVn5HNrzOYPnnkmgpJRIRzsAO+/5PlUXXZFxo59ILkg+eDTSRSD+Lop8RPc6AJmb8ZIGKsrLmTJ+QtxqGvD3fShMDJuvVcJYcPinJlACZ/0D5v5O61pqLuuVIa0d/UvzNO9A6y6t2RrAhcth8leju6/KEFE5IIeWOgiRoPWjKNJEz1nPawmq+pRe3ZM193e580jooT1IjyDSn6NTlVA/o7R2POP+407js+zsYPd9d9FetzOj13XKBVGopmdx8WPTM6/4PWfEK33lPvoVjW/Bm5f1dkMFDC8I9Mx1edoagmndBS/Oja56mfEj2Hi38/C7+mfh/f92r5Q55S54/4e9nhRRqIkLvZFZomW62cI+zDAdoT0V8onC7KXQyXSJr9/LidON16ZnyjPSh4nndcgXnO6jqaWFLTt30NTSksOVKVypOhM+9kyvhyRQorXJ1ZE97d/tb+qTb8MSPQ6UaH/aQxW6sa48FQIx/hkrHgzTv229rgz1ejwuXOlPIfLyGbDyi9qfoE39TVU4OIV8+jl6Xsaoq//V2JZpb4V+zZN+8WCfFyKJoHJGFL6mfv9+yzwY6GNJrX2ZqjPhopW903XN03BFkVa6a7ypl2jFNZEO7e8Tv6wltNZcqu1v9oyYj9Mbo+nUXA4NL/bOtNE9C+bjdQ+DX70CmcoTyfdqrgxRWjuesbfdwYFnH8taL47+lAviFSVGFL6lfv9+nnn1FQA27djOZeeeT83IkX0vqbUvoxv91l29gkAPjZhzRMwJr+EOqJiseQN0zFVIZmNt7h8SLIMZP9D+0/uh6Meku4opk+W2mRINfqrm8lm5cn+rXPEjSowokibTuRzbdu+K+lwzcmT6WrMrsoeTIWzdZTK6Zs+IgwHWDZYuMszG+sy/Rzdhg+j8CLO4SYVM515kUjT4wSPk09wV5a3ILUqMKJIi2VBJIgJm0thxbNqx3fIZ8ntQYL/GbgjtRhfcDbDdgLkJEJ1MlsRmo9zWD6IhU+S4XLmvD8bLV5QYUSRFMqGSRAVMzciRXHbu+VE5I5B8a/a8qczxmRs7YzgJFCfsBqztw9iejkzmR6jci9TI4fPrb5UsZvwuwpQYUSRFMqESu4DZUVfHqdNit2KvGTnSIkJSIW8SX33qxs4piRqwTIc6/JJ7kY/k8Pn5eTBeJskHEabEiMKVeDNhEg2VjBpeRTAYJNwjSFauXxt3OF06yZvEV9V1M5pkDFgmQx19OYySDXL0/PJlgm26yQcRpsSIwhEvXoREQyUV5eWcPuMUlq55D4BwJJJVQZA3ia8qDOCMEgDpoQ+EAJMNOfTXqpl8EGFKjCgcyZQXYfwJtaxcvy4ngiBvEl9VGCB39AFDHZM+EAJMNeTQH6tm8kGEKTGicCRTXoRcC4JkE1+zjvICZJ8+YKjj0gdCgPkQcvAjfhdhSowoHMmkaMgbQaDoX+SDoU7Vc9MHQoD5EHJQJI4SIwpXlGhQ9Cv8bqjT4bnpAyHAfAg5KBJHiRGFQqEA/xvqeJ4br16TPhAC9HvIQZE4SowoFAqFjp8NdSzPTX/Id1H0aZQYUSgUinwglucmH/JdfI7fO5T2dZQYUSjyhb5edqqIj5vnxu/5Lj4nHzqU9nWUGPEheTM/RZE9lBteEYts57v0MWGsyoVzjxIjPiNv5qcoskt/d8P3MeOXEbKV79IHhbEqF849Soz4jLyZn6LILv3ZDd8HjZ8j+SK4+qAwVuXCuUeJEZ8Rq/OpCt/0Y/xedppJvBi/fDHkbuST4OqjwliVC+cWJUZ8hlvnUxW+Ufi67DSd2IVFPOPnV0OeiEDKJ29DfxbGioyhxIgPcep8qsI3in6Bm7CIZfz8aMgTFUi59DYk41XqL8JYkTUCuV6AV4QQlUKIR4QQzUKIY0KIPwkhBno8VgghXhRCSCHEJzO81Iygh2+ArE+7VSiyhpOwAM3wjb0udlkr+Cds4HYfbuiCa+7vsuvZ0UXTyi9qf7buys51vdK6C3Y/6r91KdJOPnlGHgFGAefD/2/v7mMvqe46jr+/y0OTDbtLSJUNoAFpSklRKbQ0i0ZxbZVUQ9po06ZN8KHBYIiEWmLxMcW0gsbSKNSHaiPBgCWCUqu2VLAxWBBTjIVGsArdQIUFGroPRnlY+PrH3Ct3L7+He+d353fm3Hm/kpvd39yZ+Z05ub87nznnzBmOAv4E+ATwnhm2vQzIzkq2CUo/7VbaFG1aCPrYbdD2ODa77H1sVRrra/cbTpDWhSrCSEScDpwPvCkzvzRa9nPA30bE5Zn5+Brbngl8AHgj8MQmFLczPrhOS2GtboG2waJv3QZ9DEgr6fNg1Omg9OA1cPrPF69LJ0jrRhVhBNgF7BsHkZE7gJeANwN/udJGEbEVuAm4JDP3RsS6vygiXgW8amKRZ39pUWa52u1bsGirhuPoc2iaDEoAX7sBHr2leAuJE6R1o5YxIzuBpyYXZOYh4JnRe6v5GHB3Zn56jt/1i8D+idfX5yuq1GOl++DnHUsxi9LHVLu1xuOUNA5Kp1z48rJFfWY2YDxBGuAEaQtUtGUkIq4GPrjOaqe33PcFwG7gDXNuehVwzcTP2zCQzMR5UHquD33wi+4W6MMxqTvHnNJ0zTx6S2+6kpwgrRulu2k+Cly/zjqPAHuBw24fiYgjgeNG761kN3AqsG+qe+bWiLgrM89baaPMfA54buL3rFM8gfOgVKEPgxWnuwWgadVo20XQh2NSt3rYleQEaYtXNIxk5tPA0+utFxH3AMdGxNmZed9o8W6abqZ7V9nsauCPp5Y9ALwf+Ey7Ems1zoNSgb4MVhyPpVhEq0ZfjkndqmH8jTakdMvITDLzwYj4HPBHEXExza291wGfGt9JExEnAncCF2bmP2fmXqZaTUatHI9m5qA7l7voTllrGnv1RN+uMBfRqtG3Y5LUShVhZOS9NAHkTpq7aG4FLp14/yjgNGDr5hetHl11p3Q1D8ogx6F0+ZyVPl1hLqpVo0/HJKmVasJIZj7DGhOcZeYeYM0BHpk5+AEgXXanLHoelEGOQxnSgExbNdRW7Q9G1CtUE0a0GDV1pwxyHMrQBmQOvVXDk+r8hhTYB8QwMjA1TStfU3BaGAdkDocn1XaGFtgHwjAyQLVMK19TcFoYuy6Gw5NqOwb2ddX47BzDiHqtluC0UEPvuhgKT6rtlArslXSp1frsHMOIqjXIO220PJahFazUCXqzA3tFXWq1PjvHMKIqDfJOGy2fmlvBKjpBb1hFXWrjZ+eMW0ZqeXaOYURVGuSdNlKfVHSC3rCKutRqfXaOYURVGuSdNlKfVHSC3rDKutRqfHZOZGbpMvRaRGwH9u/fv5/t27eXLo4mOGZEKqySQZ0q58CBA+zYsQNgR2YeWG09W0ZUrUHeabMeTw7aTDWPeVGvGEakeS3yhL/ofQ1lQKGkpWIYkeaxyBP+osPDkAYUSloqW0oXQP2z/+BBHnrkYfYfPFi6KP2z0gm/xL7++2uw56bm37HxgEJY/gGFWtlKnwupAraM6DDO37GORd5B0HZfq7WoVDbiXwtmN50qZhjRYZy/Yx2LPOG33dda3TEOKBwuu+lUMcOIDuP8HTNY5Am/zb6GNL+DZlf6c+GdXNoA5xlZxxDnGXH+jgr4xT+fodRXqeO0i0ircJ4Rteb8HRWwO2b2E2+bE2Wt4aXU58IuIm2QYURSfeYJGPOeKOfZd62hZdFKdxGpeoYRqQae9A43T8CY90Q5677tmniZd3JpgwwjUt95pf5K8wSMeU+Us+7bronD2XWoDTCMSH23jFfqGw1N8waMeU6Us+7brglpYQwjUt8t25X6okJTl1fis+zbrglpYQwjUt8t25V6LaFpFnZNSAthGJFqsExX6rWEJkmbxjAiLZMartRrCU2SNo1hRNLmqyE0Sdo0W0oXQJIkDZthRJIkFWUYkSRJRRlGJElSUYYRSZJUlGFEkiQVZRiRJElFGUYkSVJRhhFJklSUYUSSJBVlGJEkSUUZRiRJUlE+KG9GBw4cKF0ESZKqMuu5MzKz46LULSJOBL5euhySJFXspMz8r9XeNIysIyICOAE4WLosHdpGE7hOYrmPc5Gss3ast/lZZ/Ozztrpqt62AY/nGoHDbpp1jCpv1TS3DJq8BcDBzLQ/agbWWTvW2/yss/lZZ+10WG/r7ssBrJIkqSjDiCRJKsowIoDngCtH/2o21lk71tv8rLP5WWftFKs3B7BKkqSibBmRJElFGUYkSVJRhhFJklSUYUSSJBVlGBmoiDguIm6MiAMRsS8iPhkRx8y4bUTEZyMiI+LtHRe1N+ats9H610bEv0fE/0bEoxHxuxGxYzPLvdki4pKI2BMRz0bEvRFxzjrrvzMiHhqt/0BEvG2zytoX89RZRFwUEXdFxDdHrzvWq+NlNO/nbGK7d4++u27ruIi91OLv89iI+HhEPBERz0XEV7v4GzWMDNeNwOuBtwI/Cnwf8IkZt70MGOJtWPPW2Qmj1+XAGcBPAucDn+y0lAVFxLuAa2huDzwL+DJwe0R86yrrnwv8GU2dvAG4DbgtIs7YlAL3wLx1BpxHU2c/AOwCHgM+P3qO1iC0qLPxdicDvw3c1XUZ+6jF3+fRwN8BJwM/DpwGXEQXs5Jnpq+BvYDTacLEGyeWnQ+8BJywzrZn0jy7YOdoH28vfTx9r7Op/byT5h7+I0sfU0f1dC9w3cTPW0ZfXFessv7NwF9PLfsn4A9KH0tf62yF7Y+gmW77wtLH0uc6G9XTF4H3AdcDt5U+jr7XG3Ax8DBwVNdls2VkmHYB+zLzSxPL7qA5sb55tY0iYitwE3BJZu7ttoi906rOVrADOJCZhxZZuD4YXUWdTVMvAGTmS6Ofd62y2a7J9UduX2P9pdKyzqZtBY4Cnll4AXtoA3X2a8BTmbm0LZNraVlvFwD3AB+PiCcj4isR8UsRccSiy+eD8oZpJ/DU5ILMPBQRz4zeW83HgLsz89NdFq6n2tbZ/4uIVwO/yuzdYbV5Nc3V55NTy58EXrfKNjtXWX+mOl0Cbeps2m8Cj/PKULes5q6ziPhemhaRMzstWb+1+ax9B7Cbpov6bcBrgN+jCb9XLrJwtowskYi4ejQwa63XrF9w0/u+gOZDedlCC11Yl3U29Xu2A38D/BvwoY3uTwKIiCuAdwPvyMxnS5enjyJiG/CnwEWZ+Y3S5anMFpqLsJ/JzPsy82bgIzTdNwtly8hy+ShNX+haHgH2AocNWIqII4HjRu+tZDdwKrBv4jHTALdGxF2ZeV6L8vZBl3U2Xm8b8DngIM1J44W2he25bwAvAsdPLT+e1eto75zrL5s2dQZARFwOXAG8JTPv76Z4vTRvnZ1KMwDzMxPfXVsAIuIQcFpmPtxJSfulzWftCeCFzHxxYtmDwM6IODozn19U4WwZWSKZ+XRmPrTO63maPsBjI+Lsic1303we7l1l91cD30XTzDl+Abwf+KkODmdTdFxn4xaRzwPPAxcs89XrqJ7uA35wvCwitox+vmeVze6ZXH/krWusv1Ra1hkR8Qs0XX7nT41jWnot6uwh4Ds5/Lvrr4AvjP7/WIfF7Y2Wn7UvAq8ZrTf2WuCJRQaRcQF9DfAFfBb4F+Ac4HuArwI3Tbx/Is0f8Tlr7GMwd9O0qTNgO82dIffTXJ3tnHgdUfp4OqqjdwHPAj9BcwfSHwLfBI4fvX8DcNXE+ucCLwAfoOm3/hBNcDuj9LH0uM4+SHNH1o9NfaaOKX0sfa2zFba/nmHeTTPvZ+3baO7UupYmhPwIzRiTX1502eymGa73AtcBd9LcEXIrcOnE+0fR3FO+dfOL1lvz1tlZvHynzX9O7esUYE9XBS0lM2+OiG8Bfp3mBPmvNFfv40Fz305Td+P1746I9wAfBn4D+A+agPuVTS14QfPWGfCzwNHALVO7upKBjEdqUWei1d/nYxHxwzQ3L9xPcxvw79AMml6oGKUfSZKkIhwzIkmSijKMSJKkogwjkiSpKMOIJEkqyjAiSZKKMoxIkqSiDCOSJKkow4gkSSrKMCKpKhFxRETcHRF/MbV8R0Q8FhEfKVU2Se04A6uk6kTEa2mmsr4oM28cLbsB+G7gTbnoh3hJ6pRhRFKVIuJSmmexvJ7m4YV/ThNEvlyyXJLmZxiRVKWICODvgRdpHhF/bWZ+uGypJLVhGJFUrYh4HfAg8ABwVmYeKlwkSS04gFVSzX4a+B/gFOCkwmWR1JItI5KqFBHnAv8A/BDwK6PFb0m/1KTq2DIiqToRsRW4Hvj9zPwC8D6aQawXlyyXpHYMI5JqdBUQwBUAmbkHuBz4rYg4uVyxJLVhN42kqkTE9wN3Audl5j9OvXc7cCR210hVMYxIkqSi7KaRJElFGUYkSVJRhhFJklSUYUSSJBVlGJEkSUUZRiRJUlGGEUmSVJRhRJIkFWUYkSRJRRlGJElSUYYRSZJUlGFEkiQV9X+MrqmzhxCPugAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "run_clustering_algorithm(data, sklearn.cluster.KMeans, n_clusters=6, savename='KMeans')" + ] + }, + { + "cell_type": "markdown", + "id": "392018f4-d79c-4119-9a80-b76a7367f9e1", + "metadata": {}, + "source": [ + "Basic algorithm; some things are roughly separated, but not so well." + ] + }, + { + "cell_type": "markdown", + "id": "b4c6b1e5-a7d7-4efc-83ed-c8d974f41a9d", + "metadata": {}, + "source": [ + "### Gaussian mixture models\n", + "Can be considered a generalisation of the KMeans algorithm that allows clusters to have arbitrary shapes (i.e. standard deviations.)" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "e2ee9906-da21-42ec-9106-b5a7e7b2589e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.8371 seconds\n", + "Plotting results!\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# I use n_init=10 (i.e. 10 trials and pick the best) for more consistent results.\n", + "# But, if this is really slow, you may want to lower that parameter!\n", + "run_clustering_algorithm(\n", + " data, sklearn.mixture.GaussianMixture, n_components=6, n_init=10, savename='GaussianMixtureModels')" + ] + }, + { + "cell_type": "markdown", + "id": "c4b3812d-25f2-4db7-8488-68ea5335111f", + "metadata": {}, + "source": [ + "This does a better job, especially with some of the sparse objects! However, some clusters aren't so well separated." + ] + }, + { + "cell_type": "markdown", + "id": "1de63829-694b-4ff6-9c2e-4b41f6105f11", + "metadata": {}, + "source": [ + "### Agglomerative clustering\n", + "A common hierarchical algorithm" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "6f3e8d66-96da-45f4-8b3d-e8a2c83f9d38", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.0566 seconds\n", + "Plotting results!\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "run_clustering_algorithm(\n", + " data, sklearn.cluster.AgglomerativeClustering, n_clusters=6, linkage='ward', savename='AgglomerativeClustering')" + ] + }, + { + "cell_type": "markdown", + "id": "25df9537-7fa8-47bf-b6d7-0735d283714f", + "metadata": {}, + "source": [ + "That's a better result! The lower and upper (sparse) clusters are quite well separated. However, some clsuters are still merged together somewhat." + ] + }, + { + "cell_type": "markdown", + "id": "e6e6ce5f-0c74-4ed9-8b5a-23f3bfe47c75", + "metadata": {}, + "source": [ + "### DBSCAN" + ] + }, + { + "cell_type": "markdown", + "id": "26f7c82d-63d8-4765-b9ec-efced4a0af43", + "metadata": {}, + "source": [ + "The first density-based algorithm here! Also one of the most common." + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "3e7d4d7e-dbe0-42b1-85f0-2244b0295bfd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.0060 seconds\n", + "Plotting results!\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# The \"eps\" parameter requires a lot of playing around to set\n", + "run_clustering_algorithm(\n", + " data, sklearn.cluster.DBSCAN, eps=0.03, min_samples=20, savename='DBSCAN')" + ] + }, + { + "cell_type": "markdown", + "id": "a197c47f-a6f7-4376-a479-55894c55b0cb", + "metadata": {}, + "source": [ + "Not bad! Although a couple of clusters have been erroneously split, and the sparse one in the top-left seems to be missing a few members." + ] + }, + { + "cell_type": "markdown", + "id": "bbd7e7f9-8de4-4628-9c91-bfbbbe0dfe7d", + "metadata": {}, + "source": [ + "### OPTICS" + ] + }, + { + "cell_type": "markdown", + "id": "ab30a46e-3bb0-44a5-8360-9f6475619b64", + "metadata": {}, + "source": [ + "An extension of DBSCAN that can set epsilon autonomously!" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "393d3dde-d2bb-40e8-beba-83bed5bfab49", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.8258 seconds\n", + "Plotting results!\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "run_clustering_algorithm(\n", + " data, sklearn.cluster.OPTICS, min_samples=20, savename='OPTICS')" + ] + }, + { + "cell_type": "markdown", + "id": "96722c70-41e0-4461-88cf-4b44b6019f5f", + "metadata": {}, + "source": [ + "I really struggled to get this to work nicely. Tweet me @emilydoesastro if you can do better" + ] + }, + { + "cell_type": "markdown", + "id": "ab1b5307-80ff-403f-918b-a31738e57d96", + "metadata": {}, + "source": [ + "### HDBSCAN" + ] + }, + { + "cell_type": "markdown", + "id": "00e0d1c4-932c-4f3c-9352-feb3e778abb8", + "metadata": {}, + "source": [ + "An further extension of DBSCAN that combines concepts from both density-based clustering _and_ hierarchical clustering." + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "id": "f81cbbbd-31fd-45ca-bbce-4e30ac27bb5d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.0984 seconds\n", + "Plotting results!\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "run_clustering_algorithm(\n", + " data, hdbscan.HDBSCAN, min_cluster_size=20, savename='HDBSCAN')" + ] + }, + { + "cell_type": "markdown", + "id": "4d0833f9-e891-49db-8af4-9a8b4f3af9b2", + "metadata": {}, + "source": [ + "It works really nicely on this data. HDBSCAN is my favourite! (But check out my talk for a discussion of the caveats the algorithm still has...)" + ] + }, + { + "cell_type": "markdown", + "id": "b45a814e-4624-4cce-8766-6df11ef4fd34", + "metadata": {}, + "source": [ + "## Plots" + ] + }, + { + "cell_type": "markdown", + "id": "c0ef9c63-5c19-4938-a37b-d8efff0b6a7a", + "metadata": {}, + "source": [ + "I made a few plots for the presentation, this is the code that made them by running DBSCAN a few times." + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "id": "ad4c3955-9163-4b20-9b44-1e1e4043567b", + "metadata": { + "scrolled": true, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running clustering algorithm!\n", + " clustering took 0.0048 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0050 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0057 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0063 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0072 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0078 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0079 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0088 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0094 seconds\n", + "Plotting results!\n", + "Running clustering algorithm!\n", + " clustering took 0.0101 seconds\n", + "Plotting results!\n" + ] + } + ], + "source": [ + "for an_eps in np.linspace(0.01, 0.1, num=10):\n", + " run_clustering_algorithm(\n", + " data, sklearn.cluster.DBSCAN, eps=an_eps, min_samples=20, savename=f\"dbscan_{an_eps:.2f}.png\", close_fig=True)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + }, + "toc-autonumbering": true + }, + "nbformat": 4, + "nbformat_minor": 5 +}