{ "cells": [ { "cell_type": "markdown", "id": "30f822cd-4c5e-4135-b7ad-e5e8be673038", "metadata": {}, "source": [ "# Grain segmentation workflow\n", "\n", "This notebook demonstrates how the simple grain-segmentation workflow is called using the rolled-steel dataset that was created by the end of the **Data corrections** notebook.\n", "\n", "\n", "### Basic reconstruction\n", "\n", "Before we can do the grain-segmentation, we have to make a reconstruction. This is done with the standard RBF workflow." ] }, { "cell_type": "code", "execution_count": 1, "id": "fb619221-5461-4fee-a44d-dcd0377bccdf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:Setting the number of threads to 4. If your physical cores are fewer than this number, you may want to use numba.set_num_threads(n), and os.environ[\"OPENBLAS_NUM_THREADS\"] = f\"{n}\" to set the number of threads to the number of physical cores n.\n", "INFO:Setting numba log level to WARNING.\n" ] } ], "source": [ "import numpy as np\n", "from tqdm import tqdm\n", "from odftomo.texture import grids, point_groups, odfs\n", "from odftomo.tomography_models import FromArrayModel\n", "from odftomo.crystallography import cubic\n", "from odftomo.optimization import FISTA\n", "from scipy.spatial.transform import Rotation as R\n", "\n", "import matplotlib.pyplot as plt\n", "from odftomo import plot_tools\n", "from mumott import Geometry\n", "import h5py\n", "from odftomo.analysis.segmentation import find_texture_components, grain_segmentation\n", "\n", "import logging\n", "logger = logging.getLogger()\n", "logger.setLevel(logging.ERROR)\n" ] }, { "cell_type": "markdown", "id": "d9965d00-b6c6-4f6e-9375-b5140f247d67", "metadata": {}, "source": [ "Load the data that was prepared in a different notebook." ] }, { "cell_type": "code", "execution_count": 2, "id": "c912b1f1-5ebe-4c62-bced-b2a7d5705ad2", "metadata": {}, "outputs": [], "source": [ "# Save data\n", "geom = Geometry()\n", "geom.read('data/iron_slice.mumottgeometry')\n", "\n", "with h5py.File(f'data/fe3si_65_cw_layer_22_alpha_corrected.h5', 'r') as file:\n", "\n", " rot_angles = np.array(file['rotangle_degrees'])\n", " azi_angles = np.array(file['aziangle_degrees'])\n", " data_array = np.array(file['data_array'])\n", " twotheta_list = np.array(file['twotheta_list'])\n", " hkl_list = np.array(file['hkl_list'])\n", "\n", "hkl_list = [tuple(hkl) for hkl in hkl_list]\n", "\n", "# Compute sample-coordinates-q-vector probed for each data point. \n", "coordinates = []\n", "for twotheta in twotheta_list:\n", " geom.two_theta = twotheta * np.pi / 180\n", " coordinates.append(geom.probed_coordinates.vector[:,:,1,:])\n", "coordinates = np.stack(coordinates, axis = -1)\n", "coordinates = coordinates.transpose((0,1,3,2))[:,np.newaxis,np.newaxis,:,:,:]\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "b9926d2a-549b-4baf-962e-05c84be5f899", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The grid contains 2568 orientations.\n", "Starting parallel computation of polefiugres.\n", "\n" ] } ], "source": [ "grid_resolution_parameter = 25\n", "grid = grids.hopf_grid(grid_resolution_parameter, point_groups.cubic)\n", "odf = odfs.GaussianRBF(grid, point_groups.cubic)\n", "print(f'The grid contains {odf.n_modes} orientations.')\n", "\n", "A, B = cubic()\n", "h_vectors = [B @ hkl for hkl in hkl_list]\n", "basis_function_arrays = odf.compute_polefigure_matrices_parallel(coordinates, h_vectors, num_processes=4) \n", "model = FromArrayModel(basis_function_arrays, geom)" ] }, { "cell_type": "code", "execution_count": 4, "id": "01a932c0-d577-4f43-b333-940d7ada3df0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimating largest safe step size\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Matrix norm estimate = 1.01E+10: 30%|███ | 3/10 [00:03<00:08, 1.23s/it]\n", "Loss = 2.88E+13: 100%|██████████| 100/100 [01:37<00:00, 1.02it/s]\n" ] }, { "data": { "image/png": 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sYh6HrChieYCYQ+SRKymWaTdvj61UPK5SknNKuphdDosq+Y6uPccUTQUkp6ajnH36YYOkWKWbcN8uFdWYUF8LPp3WGy0b+eBCbgke/WAHzudI/uARERERUY1QcTUB3pGXWumW6y52TEiqsZ8nPpvWBy1CvHEuuxhjP9iBtFzJHRsiIiIiqnYNcbpg942calyYvyfWTuuDqGAvnMkqwqMf7EBGHjsnRERERFT92DGhG4oI9MJn0/qgaaAXkjML8egHO3Axv4pjN4mIiIjIKQ2x8juT3ysxatQobNmyBYMHD8aXX36p+1lRURHatm2Lhx56CH/7299cFGHNiwzyxmfT+uDh5dtx8mIhxn24A59N64MQXzEBk4iIboJ94rakEJ0s4VtWoBAlld9EUiVJwga7pOfr8fjtjL6habgYlyT5XbOWict5iv+elLbSx6GUiSPnjVFirKaLYqE+WRK4wabfnlYqJmRrkmKNhsAAoc0qKUpsKNZ/T+UWSVE+yfVj2a1RQps5RZyQwD5xu/z0WWGRkuG9hDbvHw+LYUiS91Gozy01SoplKn6+QpvsvCvpGaN7bzkgxpp/R0uhzfesmGRuayTGYbT7PVGKxPVkNFWSJC6ZlMI+WV86KYLv1QkcFNUDqIYBJioUqHC8WKIz69QV7tulqiXPPvss1qxZI/3Z66+/jt69e9dyRK7RLORy5yTM34Jj6QUY9+FOZBdKqqMSERER0U1riE9M3DfyWjJo0CD4SabDO378OH7//Xfcc889LojKNVqE+mDttD4I9bXg97R8jP9oJ3KLxDtfRERERHRzWGCxntm6dSuGDx+OiIgIKIqCb775Rlhm6dKliI6OhqenJ7p3746ff/65Stt+8cUXsWDBgmqOuO67pZEvPpvWGyE+Zhw6n4cJH+1EXgk7J0RERETVSdUUp1+OqOx6WdM0xMXFISIiAl5eXhg4cCAOH9YPCSwtLcUzzzyD0NBQ+Pj4YMSIETh37pzD+1yvOyaFhYXo3LkzFi9eLP35+vXrERsbizlz5mDv3r24/fbbMWzYMJw9K459vNY//vEPtG7dGq1bt66JsOu8mDA/fDqtN4K8PbD/XC4mfbQLBaXVUEmIiIiIiGpVZdfLb775JhYuXIjFixcjMTER4eHhGDJkCPLz8yuWiY2NxYYNG7Bu3Tr88ssvKCgowH333QebJE/uRup18vuwYcMwbNiw6/584cKFmDJlCqZOnQoAWLRoEX744QcsW7bshk9DduzYgXXr1uGLL75AQUEBysrK4O/vj1deeUW6fGlpKUqvSTDMs6vs645uDffHJ1N7Y+wHO7HnbA4mr9yFVZN7wcdSr08pIiLnqTZ95XdZ1Wm7xFsNkiRbWeV3WSVt2QWBXQKzIqlgLavMrprE+5iKXRK7kpktLiNJarePAQA0ybqWUxd178ubBAnL2GQJ5UGSauRl4rEwFOj3XW0kJtJrku3nRYmVzfNaiMsVROtv2FkyxWWCfhcr0nuni6MQSlqJsWXH6CulhyeIx7rMW3L/OVpMrs+LERP6/Xef170v6ikmp5uKxeNq8xT3szBcf21QGihuK7uNuF5pgJhcX9hUPD9bfK0/1gbJea1KEuIVybkOo1iBXjFW4T7+tZNSaNVzs1Z1cliWo3VMbnS9rGkaFi1ahDlz5mD06NEAgNWrVyMsLAxr167F9OnTkZubixUrVuDjjz/GXXfdBQD45JNPEBUVhc2bN+Puu++uciz1+onJjVitViQlJWHo0KG69qFDh2Lbtm03XHfBggVISUnB6dOn8be//Q3Tpk27bqfkyvIBAQEVr6go8Y+CO2ofEYBPpvSGn6cJiaezMWV1IoqtjvWMiYiIiEikaganX8DlG+HXvkols/BVJjk5GWlpabrrZYvFggEDBlRcLyclJaGsrEy3TEREBDp06FDpNbW9BtsxyczMhM1mQ1hYmK49LCwMaWlpFe/vvvtuPPTQQ9i4cSMiIyORmJjo8Ge9/PLLyM3NrXilpKTcdPx1RcfIAKx5vBd8LSbsOHUJ09bsRonkzhQRERERVZ0NitMvAIiKitLdGHcmN/rKNfGNrpfT0tJgNpsRFBR03WWqqsGPu1HsHqVrmqZr++GHH264/qRJkyr9DIvFAovk0Xt90bVZEFZN7okJH+3CLycyMf3jJLw/vjs8PSSP2ImIiIioUtc+/XB0PQBISUmBv79/RfvNXItWdr0sU5Vl7DXYJyahoaEwGo1CTy4jI0PoFVLlerQIxspJPeHlYUTCsYuY8ekeWMvFYlhEREREVDkbnH1qcpm/v7/u5UzHJDz8cuHUG10vh4eHw2q1Ijs7+7rLVFWDfWJiNpvRvXt3xMfHY9SoURXt8fHxuP/++10Ymfvq3TIEKyb2wORVifjx9ww8vXYPlozrBo+qJI0REdVziskERbn6z64mSU5XPMx27yX/TKuSmz6SStSG0BChzRquT3I2BngLy9jM4rZMF/OFNs0uDsVbTAqXJfgrBWISclnbZuL2PfT/dqT3ELdvlAyZLw0U2yAp8O17Xj/sxJIrHtfSAPHfr8ye4nKaWVLN3qpft8xPDCJDLMwOrzTx4tFUKC5nztNv79ifxURxn11i/OZ8cXIAmZw+TXXvixqL54VHgXh+Xuoo7qdXhv48yLlbLItuOOYjtGV1E491k1YXhbaCA6G69352VesB+WQQsgrutgLxYGvldhM9mMRJC2C7Gqum1Z8bs9HR0QgPD0d8fDy6du0K4HKedkJCAt544w0AQPfu3eHh4YH4+HiMGTMGAJCamopDhw7hzTffdOjz6nXHpKCgACdOnKh4n5ycjH379iE4OBjNmjXDrFmzMH78ePTo0QN9+/bF8uXLcfbsWTz55JMujNq99WsVig8n9sCU1bux6bd0PPvZXix6pAssJg7rIiIiIqqqmx3KVVWVXS/HxsZi/vz5iImJQUxMDObPnw9vb2+MHTsWABAQEIApU6bghRdeQEhICIKDg/Hiiy+iY8eOFbN0VVW97pjs3r0bgwYNqng/a9YsAMDEiROxatUqPPzww8jKysLcuXORmpqKDh06YOPGjWjevLmrQq4Xbo9phPfHd8f0NUn496E0ZK3Yhfcf644gH3EKPiIiIiIS2TQDbE50TBxdp7Lr5dmzZ6O4uBgzZsxAdnY2evfujU2bNsHP7+rTt7fffhsmkwljxoxBcXExBg8ejFWrVsEoeSp1I/W6YzJw4EBomuT57TVmzJiBGTNm1FJEDcegNo3x4cQemPHpHuxKvoTRy7bho0k9ER0qPqolIiIiIj0NClQ4ljx+ZT1HVHa9rCgK4uLiEBcXd91lPD098e677+Ldd9916LPtcfA/1Zg7WjfCV0/1Q9NALyRnFmLU0l+xK/mSq8MiIiIiqvOuPDFx5uWu6vUTE3K9NuF+2DCzH6at3o3953Lx2Ic78caDHTGqa6SrQyMiqlWKlycU5ZohrZJq7fYV3GUJ8sYAf6FNkSTbaj6SCuXRnrr3BU3FZTwviXdOgw+Ld2DN+XZJwmYxIdgWLCZkyxLiTVliwnFRK31yekEL8VhYLlZtmIgmWexiP311blO2eEmkSMpyeV4QN1bWXszCVz31+6mWixeLhmzxmKmSvOqygblCW9Fx/XmgKJI73pIb51ntxA8IOi5WKs9uoz8eNk9x+8ZS8QOMYt45CiP1B7JXM7GeW9KZNkJbaLR4M9Omiscxu4M+Vt/jnsIyiqc4qYCaVyAGq0qS5E1VuFwuuyZBXhMnQ3CGqilQNcefmDizTl3hvl0qchuN/Tyx7om+GNYhHFabiufX78fb8ccqHWZHRERERA0HOyZUK7zMRiwZ2w3TB7QEAPzff45j1uf7UVrOKvFERERE9mwwOP1yV+4bObkdg0HBy8PaYsHojjAaFGzYex7jP9yF7EJxOAMRERFRQ3ZlKJczL3fFHBOqdY/2aoaoIG889UkSdp2+hFFLf8VHk3qiZSPJWGQionpCK7FCuyYPQJY/YrCrzKxaxbHqqqQAnCEwQGiDQbw4Ue3+1S8NkeSmGMR7liWNxPH5xmJ9UbtyP3EZm0XcVn6UmONgzhf//lv99PGbL4n7Y40RExrUUjEHRCkW27zO6uNQJDXxgu5IE9ou/RwutGnnJcUlTXbDlf3FPA7NIg5pluVy2E6LRRG1pvoihdolSQ6F5CpPlopSGiAen3If/YIeeeLxL2otqXAp0bZFqu793nNinqnNR1LgskzcgeZB2UJbtlcjfYNsNIbk9032OwiDeCyE5SQHUamBYtIqDFCdeIbgzDp1hftGTm7ttphQfDXj8oxdp7OKMHrZNuw8leXqsIiIiIjqBJumOP1yV+yYkMu0DvPDNzP7o0tUIHKKyvDYip34es85V4dFRERE5HINcSgXOybkUo38LFj3RB/c0zEcZTYNsz7fj4WcsYuIiIiowWHHhFzO08OIxY92w1MDbwEAvPOf44hdvw8lZZyxi4iIiBomTTNAdeKlscAi0c0xGBT88Q+3okWIN+ZsOIR/7LuA89nFWD6hB4J9zJVvgIiojjN4WWC4psCiWiopymffpkguMCTFFFEuJlarPmIydJmvXUJ5i3xxU03F5N+0AG+hzStan3DvUSA+6VZN4pCS0iChCSUhksT2IP32bJ7ifpvM4g0sa4l4aaNZxHXL2+uTxy17fYRlsnaIie5WyYQBHvni92QNtEsezxCT/mUFCsP7nxfaTp9uLLQpefp/G73Oi99bcRMxVr9kMdZySe6+R74+tqLm4jnm6SvOqlmSJW6sqEwfqzVXPDdDo8Wk9qwz4snSJOK00HbU7jCqfmKBRWOh+P0qhZJqkLJipXZFHRUP8Ry7dqIKVROPlTNsUGCTVcmswnruyn27VFQvPdyzGVY/3gt+nibsPpONUUt/xcmLksqsRERERPWYqjmbZ+LqyJ3HjgnVOf1bheLrp/ohMsgLZ7KKMHrpNmw/yRm7iIiIqOFwZhjXlZe7ct/I3dCSJUvQrl079OzZ09Wh1Hkx/52xq2uzQOQWl2HCRzvxVRJn7CKi6rV161YMHz4cERERUBQF33zzje7nmqYhLi4OERER8PLywsCBA3H48GHXBEtEVM+xY1KLZs6cid9++w2JiYmuDsUthPpa8Nm0Pri3UxOU2TS88MV+/H3TUc7YRUTVprCwEJ07d8bixYulP3/zzTexcOFCLF68GImJiQgPD8eQIUOQny/mZhARVScVitMvd8Xkd6rTPD2MePeRrmgR4o0lP53Euz+ewOmsIrz1YCd4eoiJfkREjhg2bBiGDRsm/ZmmaVi0aBHmzJmD0aNHAwBWr16NsLAwrF27FtOnT3fos9SiYqjK1aRYg6+YjKvaDQ7XysXK7/aJuACgeIsJx6rkb6R9dXObTdyWr0+J0JbtLyYrFyn67RskEylqkgrZ5hzxoskm5irD97T+fZm/JGm7qaQCt4dkcoAC8XLHdFh//EsDxW3JRsTIKsT7nhXXzTfo99O7k5jc7WMRk8dlie6GAsl3Gab/npQUcYICS6a4AzbJfDKFEWKbqdCuQXJcZYnuXqFFQltRmZj4by83X9yW7PyxSsrZmwr0x1qTnPtaof0Oyau1a+Xifip236VWJia3X7uMoimA5DxxlLPFEllgkagGGQwK/ufuW/Hmg51gMij45/4LGPfhTmQViDPaEBFVl+TkZKSlpWHo0KEVbRaLBQMGDMC2bdtcGBkRNQTMMSGqw8b0iMKax3vB39OEpDPZGLV0G05kcMYuIqoZaWlpAICwsDBde1hYWMXPZEpLS5GXl6d7ERE5SoWTld/deCgXOybkVvq1CsXXM/ojKtgLZy8VYfTSX7HtZKarwyKiekxR7IZxaJrQdq0FCxYgICCg4hUVFVXTIRJRPaQ5mV+isWNCVHtaNfbFNzP6o1uzQOSVlGPCil34dv8FV4dFRPVMePjl4nr2T0cyMjKEpyjXevnll5Gbm1vxSklJqdE4iYjqCya/k1sK8bVg7bQ+ePGL/fjXgVTErtsLm6piVNdIV4dGRPVEdHQ0wsPDER8fj65duwIArFYrEhIS8MYbb1x3PYvFAotFTBaHYtBVclcLJMm4Zn1msjRBXjIjmC1TrPVkaCxWzbYfel5WLCYlK95i8rssobnEpo/NZhKzfS3pkgrZkuTr0pbiZ5qK9RnxBS0llccP+QltxjZirMbGYpJ5sUmfbB2eIEkUt4h3nnNvEdsudZFUCzfaJW4fEr+P6NtPCG2duog32r7f3llosxzWJ7uXBomJ4vbV2wGgNERczlQsLlfuo19Osd8fAJok1bNJoDh08dQpu458ufh56gVJ+Xkf8bhmlYq/E/YPCDSDuH0lwF9s8xFnbJD9LgnJ7pLq8IqX79X/14xANUzcd2VoljPruSt2TMhteXoY8c4jXeFrMWFdYgpmfb4f5TYND/XgsAkiqpqCggKcOHH14jA5ORn79u1DcHAwmjVrhtjYWMyfPx8xMTGIiYnB/Pnz4e3tjbFjx7owaiJqCJxNZHfn5Hd2TMitGQwK5o/qCKNBwac7z2L2VwdgUzU80quZq0MjIjewe/duDBo0qOL9rFmzAAATJ07EqlWrMHv2bBQXF2PGjBnIzs5G7969sWnTJvj5iXfqiYiqE5+YELkhg0HBvJEdYDIoWL39DF76+iBsmoZxvZu7OjQiquMGDhx4w6KtiqIgLi4OcXFxtRcUERHgdLFEd56Vix0TqhcURUHciPYwGgz46NdkzNlwCDZVw4S+LVwdGhEREZHD+MSEyI0pioK/3NcWJqOC5VtP4ZV/HEa5TcPjt0W7OjQiIiieZijKNZnfZZKq7nZJtrIK0wZvscK3lFWybpn+6ZBPQLGwTLlNrJotYwrRr6tKKtJbrWKboURSbbtYvBzxTtPHavUX4yppIu6jx1kxibrcJKkQb9a35UXLkt+FJninim35XuKFoCFSf3wG9zwmLgMxru+PtRPaYtqfF9rOpeqHLJcHicfCO02c3MAaIDTBGiKpZF6qPx5KjmSihBAx+/3UWbFyvVKs/+40TzHp3FgkSYhvJMZ14mKo0GYN0Sejm3LFyRSgSpL3S8TlFKN4nglThpeLcamFVyddUDXxd5uqhh0TqlcURcHLw26F0aBg2ZaTmPuv36BqGqbe3tLVoRERERFVGZ+YENUDiqJg9t1tYDIoePfHE5j33RGU2TQ8NfAWV4dGREREVCUNsWPi1HxiJ0+exJ///Gc8+uijyMjIAAB8//33OHz4cLUGR+QsRVHwwtA2iL0rBgDwxve/Y/GPx10cFREREVHVXOmYOPNyVw4/MUlISMCwYcPQv39/bN26Fa+//joaN26MAwcO4MMPP8SXX35ZE3ESOSX2rtYwGRT8bdMx/G3TMZSrGmLvau3qsIioAVILi6Eq14xNlxRpsycb764WS8bFmyXj/yXb87Cr6VhoFS8DrEXitowWMSdAzdInYAgFBQEokgnPbIHi+PxGETlCW1HjRrr3fmfEjeXHiMei3FdyzIrE/fQ/rN9P/xRxH7NjxG3ldBLj9w8Xq+kV/xaoe380VMy9GNz4qNAW4C8W3jyVLuZVmO2+YEOBGGverWKug9dZ8fstLxfX1Zrrc2Rs2WLCjVH2nWeIx9rmpz+2iiTPyGATz1hN8r1pXpXnb2gmcftVvVRXvDyFNq1QX7TTvhCq/fYNmgKIdT4dpsG5GbauP89g3efwE5OXXnoJ8+bNQ3x8PMzXfDGDBg3C9u3bqzU4ourw9J0x+OMfbgUALNp8HAs3Hb3h9KBERERErtYQn5g43DE5ePAgRo0aJbQ3atQIWVlZ1RIUUXV7auAtmHNPWwDAOz+ewFs/sHNCREREVJc43DEJDAxEaqo4V97evXvRtGnTagmKqCZMu6MlXrnv8jSMS7ecxF///Ts7J0RERFQn8YlJFYwdOxZ//OMfkZaWBkVRoKoqfv31V7z44ouYMGFCTcRIVG0evy0ac+9vDwB4f+sp/O+/jrBzQkRERHVOQ+yYOJz8/vrrr2PSpElo2rQpNE1Du3btYLPZMHbsWPz5z3+uiRiJqtWEvi1gNCiYs+EQPvo1GTZVRdyI9kIBJSKi6qR4mKAoV//Z1axWcSG7GyWaTUzIBiRtBkmBvzwxiVpRg3Tvy4rFRGhIkpD9fcVCjKUWfRJy0UUfcVuSWo2WVPHSI9tHXNfH7vAYJIfLvNtXbAwUbzaVe4ttql0ud36kGKxHgbh5/6Ni/HkWsejlo8N+1b2fH3ZAWKZ1wkShrX/0KaFtS9qtQpuhsz44n53isSiKEJpQEiGeP5pJnIhBKa/83nV5niQJ3ENys0/Vn1Oe6eKxLo4UJxUw5YjLeTcVizpe8tYX1dQMktg9JJe8JkmbpBCj4mVXtFP2e3nNRBVKNSW/N8Tpgh3umHh4eODTTz/F3LlzsXfvXqiqiq5duyImJqYm4iOqEeN6N4fJoOClrw9i9fYzsGka5o7oAIPkH3ciIiKi2qZpCjQnOhnOrFNXOF1g8ZZbbsEtt7BgnSOWLFmCJUuWwCa9A0a17eGezWBQFMz+6gA+2XEWNlXD6yM7snNCRERELqdCcWq6YGfWqSsc7pg8/vjjN/z5Rx995HQw9d3MmTMxc+ZM5OXlISAgwNXhEICHekTBZFTwwuf78dmuFNhUDX8d3YmdEyIiIqJa5nDHJDs7W/e+rKwMhw4dQk5ODu68885qC4yotozqGgmDouD59fvw+e5zUKBgwWg+OSEiIiLXYY5JFWzYsEFoU1UVM2bMQMuWLaslKKLadn+Xy1NdP79+H9bvToGiAPNHsXNCRNXH4O0Fg3I1WViVJNlWqRq8rOq0LInXKCYA2zzs/qYVyhKCxRhyTwUJbaq33bBkSXV4g6StrFSsrG32EJez2e1mma+kMrgkuV7W5ntWUmm88gLiMJaI31FeK7HN9zexKvrFdn6697cdGC0sI0t0NxskSeCXxO/Javc9qWFiXLYgcVvGS+KEBzY/2bloF0OIOAFC2SXxu5TO92rWx2qTTEZgypdUn5d8l5fSnBtxouVLJoMwST5TrcrkEpL1yq8ea00Tj7szGmKOicPTBUs3YjDg+eefx9tvv10dmyNyifu7NMXbD3eBQQHWJaZgzjcH5RcORERERDWsNqYLLi8vx5///GdER0fDy8sLLVu2xNy5c6GqVzuTmqYhLi4OERER8PLywsCBA3H48OGa2OXq6ZgAwMmTJ1FeXj09RCJXub9LUywcc7lz8tmuFMz55hA7J0RERFTrrjwxceZVVW+88Qbee+89LF68GEeOHMGbb76Jt956C++++27FMm+++SYWLlyIxYsXIzExEeHh4RgyZAjy8/OrfZ8dHso1a9Ys3XtN05CamorvvvsOEyeK83ETuZuRXZtCg/bfhPizUBRg3v2cSpiIiIhqj+ZkjokjHZPt27fj/vvvx7333gsAaNGiBT777DPs3r37v9vSsGjRIsyZMwejR18ejrh69WqEhYVh7dq1mD59usPx3YjDHZO9e/fq3hsMBjRq1Ah///vfK52xi8hdjOoaCQCY9fl+rN15FgqA/2XnhIiIiNxEXl6e7r3FYoHFos+Huu222/Dee+/h2LFjaN26Nfbv349ffvkFixYtAgAkJycjLS0NQ4cO1W1nwIAB2LZtm+s7Jj/99FO1BkBUV43qGglNA174Yj8+3Xn5ycn/3t+BFeKJyDlGE2C4+s+uYhaTkDVr5RnZWpk4bFrWZpS0Wf31f7+UUvHvWbOYi0JbZoFYmb0wx74atrgtW66YqO9hFZcryReTx33srlBskjxr33Nion6+Io5SL5esa7avLF8mDtstbizG6p0qthV1FhPD2/ue171PONVKWOY/HdcLbe1+fEJo69hHTJI/8ot+wiFVkihuThXPMY92eWKbUUz4LijUH7So0BxhmVMFjYU22c16j3R9HLZo8Xgp57yENpuPJBFdcp6Z8vQ7Xx4onk/mIjFpXruUK25flpZgP5GEUYzBYPG++v+qCaiGUU4aAM2J0eRXVomKitK1v/rqq4iLi9O1/fGPf0Rubi5uvfVWGI1G2Gw2vP7663j00UcBAGlpaQCAsLAw3XphYWE4c+aM48FVwukCi0QNwehul5+cvPDFfnyy4ywAdk6IiIio5qlQoNxEgcWUlBT4+/tXtNs/LQGA9evX45NPPsHatWvRvn177Nu3D7GxsYiIiNClaNhf92iaViPXQlXqmHTt2rXKH75nz56bCoiorhnd7fKTkxe/vNw5UaBg7v3t2TkhIiKiGnOz0wX7+/vrOiYy//M//4OXXnoJjzzyCACgY8eOOHPmDBYsWICJEyciPDwcwOUnJ02aNKlYLyMjQ3iKUh2q1DEZOXJktX8wkTt5oHskNAD/8+V+fLzjDBQFeG0EOydERERUM1RNgVLDBRaLiopgMOiHqhmNxorpgqOjoxEeHo74+Hh07doVAGC1WpGQkIA33njD4dgqU6WOyauvvlrtH0zkbh7sHglN0zD7qwNYs/0MFABx7JwQUVXZygH1mgsAg2TGfrsJNmS5IzKKUVLwrVAsKKfapXz4pogxpEX6CW3NQ7KFtuPnfPWfZ5IMhjeKbapkOaVAjN/qX/ngemOJGL93umT7krqVZd76Y20S0x5gDRS3FXxIXK4gWszl+L9fh+jeewaVCMu8ktFTaFPLxGNxPl/MjzBn6+MvaGsVllEKxMu8FgFiXsWxYxFC27099uvet/W5ICzzTtYgoa0sU8wVKW+ij82YIsknCS8V2lAqHgtzurhPZYH6L9hQKslNkSRrKL7e4mL5BeK6worVVm3jhjTNyRwTB9YZPnw4Xn/9dTRr1gzt27fH3r17sXDhwooJrRRFQWxsLObPn4+YmBjExMRg/vz58Pb2xtixYx0PrhLMMSFywEM9oqAB+ONXB7B6+xkoioJXh7dj54SIiIjczrvvvou//OUvmDFjBjIyMhAREYHp06fjlVdeqVhm9uzZKC4uxowZM5CdnY3evXtj06ZN8PMTb2LcLIc7JjabDW+//TY+//xznD17Flarvhd86dKlaguOqC4a0yMK0IA/fn0Aq7adBgB2ToiIiKha3WyOSVX4+flh0aJFFdMDyyiKgri4OGFGr5rg8LOo1157DQsXLsSYMWOQm5uLWbNmYfTo0TAYDLUSMFFdMKZnFN4Y3QkAsGrbafzvv45Ac+Z5KxEREZFEbVR+r2sc7ph8+umn+OCDD/Diiy/CZDLh0UcfxYcffohXXnkFO3bsqIkYieqkMT2j8NfRHQEAH/2ajL9+/zs7J0RERFQt1P9Wfnfm5a4cHsqVlpaGjh0vX4z5+voiN/dyEtV9992Hv/zlL9UbHVEd90ivZihXNfz5m0N4P+EUzEYDXhjaxtVhEVFdZLMByjVJuWViMUWxVoAka1tyA0RTxWRfrUxMyFbsF5NsvkOTVKEtyCxmhp/O1xdvU8WPEz8PQFmwJKFfch2l5OvvnZoKJIUZQ8X1vNLFNo8isc1ql09eGiRuX1HFY20ol7RJkvCVxvpk7kb+YlL159t7CW0vD/qX0Lbw4GChzWh3vM0XJN93G/EzM4vEhO+w5uIw/AOX9AnxF4rFaWe7R6YIbbtP3iq0we47t1kksV4Si3FqkgKLZUHiSetzVp8kXxoi1uswZUqS2iWTSyieYjVOLc+uWqJssolrLqk1VfKL5YTaSH6vaxx+YhIZGYnU1Mt/tFq1aoVNmzYBABITE6WFW4jqu8f6NMerw9sBAN798QTe+c9xF0dERERE7u5yx8SZoVyujtx5DndMRo0ahf/85z8AgOeeew5/+ctfEBMTgwkTJlRMLUbU0EzuH40597QFACyMP4alW064OCIiIiIi9+LwUK6//vWvFf//4IMPIioqCr/++itatWqFESNGVGtwRO5k2h0tYbWpeOuHo3jz+6MwGw2YentLV4dFREREbqg2ZuWqaxzumBQVFcHb++r4xN69e6N3797VGhSRu5o5qBXKbCoWbT6Oed8dgYfRgIn9Wrg6LCIiInIz2n9fzqznrhzumDRu3BgjR47E+PHjMWTIEKGMPVFD99zgGJTbNCz+6QRe/fYwTEYF43o3d3VYRORiirc3FIOY4HstzWaX7CurMK1JMsqryGhXHNwmCedQahOhzVoiJivbt2gGSZV3yfaN+WLisM1HTBYu89O3GYskVcBzxO3LEukteeIxM5Tpj21RmHisvTLFbRU2EZfzEXPAUdJE/5mpWWL19vDoLKFtZ674pN122ldcd5C+EvuF3eL39kLH/whtb+0dKrS1iRBnDPA26U+W8wVi/NH+YtJ8WbB4rC1G/XdZbhTPlSYxF4W2i3vDhLbyppIK8arduSG5Mlf9xKR2Y1GJ0KaViG3wqPxy+dr1NM16gyWrriE+MXG4V7FmzRqUlpZi1KhRiIiIwHPPPYfExMSaiI3ILSmKgheGtsb0Oy7/4zJnwyF8nij5V4uIiIjoerSbeLkphzsmo0ePxhdffIH09HQsWLAAR44cQb9+/dC6dWvMnTu3JmIkcjuKouClYbdicv8WAC5Xid+w95xrgyIiIiL34WxxxYb0xOQKPz8/TJ48GZs2bcL+/fvh4+OD1157rTpjI3JriqLglfva4bE+zaBpwAuf78c/91+ofEUiqhULFixAz5494efnVzFM+ejRo7plNE1DXFwcIiIi4OXlhYEDB+Lw4cMuipiIqH5zumNSUlKCzz//HCNHjkS3bt2QlZWFF198sTpjq3eWLFmCdu3aoWfPnq4OhWqJoiiYO6IDHukZBVUDYtfvw78PisXLiKj2JSQkYObMmdixYwfi4+NRXl6OoUOHorCwsGKZN998EwsXLsTixYuRmJiI8PBwDBkyBPn5+TfYMhHRzbtSYNGZl7tyOPl906ZN+PTTT/HNN9/AaDTiwQcfxA8//IABAwbURHz1ysyZMzFz5kzk5eUhIEBMIqP6yWBQMH9UR5TZNHy15xye+WwvlnsYcOetYlIfEdWe77//Xvd+5cqVaNy4MZKSknDHHXdA0zQsWrQIc+bMwejRowEAq1evRlhYGNauXYvp06c79HlauQ2a4WpisCa7erBLflckSbeaWDBeSpFUp7bZ1UEuF/OBUXrJq0rbt6/Ebp9/DAAGSZF3Y5E4zMRQJraZc/Rt5T6S5HqruJ5JLFKP7FbicbTZ7busSr1mELdvXzEeAMoCxOR9NV9/sD38xKTtJj55QtvhS+FCm2dMrtBWaNXPLKBJrui2XGojtAUFFApt9onuALB7Tyvd+z/03S9+gIyk6Llq098H94kUO/apGYFCmxYkfimyQUpeF/XnhiL53VJskvMn0E9oM2SJn6naV36XMARePTEMailQDfcumPxeBSNHjkRRURFWr16N9PR0LF++nJ0SokoYDArefLAThneOQLmq4clP9uCX45LpXojIZXJzL1/8BQcHAwCSk5ORlpaGoUOvzmJksVgwYMAAbNu27brbKS0tRV5enu5FROSwK/kizrzclMNPTNLS0uDv718TsRDVa0aDgoVjOqO0zIZNv6Vj2prdWP14L/SKDnZ1aEQNnqZpmDVrFm677TZ06NABwOV/7wAgLEz/dDMsLAxnzpy57rYWLFjAnEsiumnODsty56FcDj8xYaeEyHkeRgPeHdsVA1o3QnGZDY+vSsS+lBxXh0XU4D399NM4cOAAPvvsM+FniqK/+6hpmtB2rZdffhm5ubkVr5QUThdORE7gdMFEVNMsJiPeH98dfVuGoKC0HBM/2oXfLnCoB5GrPPPMM/j222/x008/ITIysqI9PPzyWP8rT06uyMjIEJ6iXMtiscDf31/3IiKiyjk8lIuIbp6nhxEfTuyB8St2Ys/ZHIxfsRPrp/dBq8ZiIh4R1QxN0/DMM89gw4YN2LJlC6Kjo3U/j46ORnh4OOLj49G1a1cAgNVqRUJCAt544w2HP08xm6AYrtZLl1WY1sr12eKaKknilSRk268HALBYhCajXf51Ubi4fWOheM/S5i8mBNsnmRdLtuWZKW6ruKkkVknV+HJvfTa93ylxW6WSkbDeYhFzeGaL8V9qq9++qUgSliRUm5cYq3dz8eZSYa5+EoEB0SeFZWaFxQttjx8ZL7QVZHsLbcohffI7eog7sDslSmjz8RIT3X/LEBPuFVV/nh26JFaWl2nVRpx5Mi1P/2+bv5d47hdk+ght3o3ERP2yMnGWhaJw/UwGfufEDHzNJJ4/xpwCoQ0GcTmDn6/uvSwZ3paZdfX/qzpDRSWY/E5EtcbHYsLKyb3Qoak/sgqtGPvBTpzOFP8IE1HNmDlzJj755BOsXbsWfn5+SEtLQ1paGoqLL19xK4qC2NhYzJ8/Hxs2bMChQ4cwadIkeHt7Y+zYsS6OnogahAY0jAtgx4TIpQK8PPDx473RJswPGfmlGPfhTpzPkcx1SUTVbtmyZcjNzcXAgQPRpEmTitf69esrlpk9ezZiY2MxY8YM9OjRA+fPn8emTZvg58enm0RUs5yp+u7sU5a6wuGhXIWFhfjrX/+K//znP8jIyICq6h+XnTp1qtqCI2oIgnzM+HhqLzzy/g6cyizE2A924PPpfRHmLykwQETVRlpHxI6iKIiLi0NcXFzNB0REdC1nn4C48VMThzsmU6dORUJCAsaPH48mTZrccGYSIqqaxn6e+HRab4x5fzvOZBVh3Ic7sf6JPgjxFceIE5GbMhkBw9Xx8YrZQ1hEs9qN/y8Xi/JpkFQylP1brInj7JVy/RWLLVgcCx+8U4zrUjdx+0JOiUmSryKGD79j4qVHSSNJLk1L/dDWApuYZ2G5JA78KIwQY/W5IC7nd0b/mZndxePllSopUukpLvfoLUlC24H8prr3snySS6p4A8rbQ/xOlCIxDsUuDOWsWBjT5inJ3WkuJs4UnfMV2hS7VVPOhArLDO1ySGjbn9lUaLO/g+/rIea5wFi1q+myfPHfxTK7fSo9KZ5jHrmSk9EmyUWR5H4pZn0+jyGskbheds7Vn2sGQPJxjlMgLylZlfXck8Mdk3//+9/47rvv0L9//5qIh6jBahLghbVT++Ch97bjREYBxq/Yhc+e6IMAL/EigYiIiKi+cTjHJCgoqKIqLhFVr6hgb3w6rTdCfc34LTUPk1fuQmGpZFoYIiIiqt9Yx6Ry//u//4tXXnkFRUWSefWI6Kbd0sgXax7vDX9PE/aczcETH+9GSZk41SURERHVYw2wY+LwUK6///3vOHnyJMLCwtCiRQt4eOiHmezZs6fagiNqqNpF+GPV473w2Ic78euJLDzz2V4sHdcNHkZOpEdERNQgaMrllzPruSmHOyYjR46sgTCIyF63ZkH4cGIPTFqZiPjf0vHiF/uxcEwXGCXF1Yio7tMKiqBdW7HPICY0G7z0ydCqTXxaKiu6CKVqNy00k93fjzJxPc9sMSEYJkmbqo9fVpixNEiMVTWLbR554rrWVLtkd8kuFjcXE8V9j4p5eWVi7T6Y8/RxBB0SPyC7s3j8zY3EESNnSsQh7n+L+lb3vkhysdjBXLUM6YDfxHOlOEz/3vuCuP38FuKxLswTE+498iXHP0x/bE2Z4nH1sM/AB2AyiG3eFn2y+7GzYcIy7VueF9qOp4tJ5opZ/E4MufrkdFUyP4SswKJmkeRwFojHzHYp2y4Gs7AMoq8m/Wu2UiBHXMRRmnb55cx67srhjsmrr75aE3EQkUS/W0KxbFw3TP84Cf/YdwHeZhPmj+rA2fCIiIjqO04XXHVJSUk4cuQIFEVBu3bt0LVr1+qMi4j+a3DbMLz9cBc8u24vPtt1Fr4WI/50T1t2ToiIiKhecbhjkpGRgUceeQRbtmxBYGAgNE1Dbm4uBg0ahHXr1qFRI/GxGxHdnOGdI1BkLccfvzqID35Ohp+nB54dHOPqsIiIiKimNMAcE4czaZ955hnk5eXh8OHDuHTpErKzs3Ho0CHk5eXh2WefrYkYiQjAwz2b4S/3tQMALIw/hhW/JLs4IiIiIqopiub8y105/MTk+++/x+bNm9G2bduKtnbt2mHJkiUYOnRotQZHRHpTbotGYWk5FsYfw//+6zf4WUwY0zPK1WERURWohUVQFTFZ+1qKSf/PssHPT1hGKy4Wty2rVu0jVkpXbPorFnOmmCWsSiq4G/LFywWbt345Q4l4l1aW6G4qrNrdXC1InzBtTBUrfqu+4vaLmkqqeUviCN6nvzerSGZllyX0t2yXJbSlFgcIbWa74bYJxc2EZdLLxPXOpIeIgbQU98mcrY/NJh4eGEvFY614irWxyr3FZG6vM/q24ghxvQvF/mJbRqDQdmtUmu59lkmsNH/0gpgQL9MkLEdoS8turHtvKhWPl6FY8rtnkNyfDwkUmpRyu31XJZNBnDh79f81SWV7ZzTAHBOHn5ioqipMEQwAHh4eUGVfFBFVq2fubIVpt0cDAF76+gD+fTDVxRERERFRtbsylMuZl5tyuGNy55134rnnnsOFCxcq2s6fP4/nn38egwcPrtbgiEikKAr+dE9bPNwjCqoGPLduH34+ftHVYREREVF1aoAFFh3umCxevBj5+flo0aIFbrnlFrRq1QrR0dHIz8/Hu+++WxMx1hmjRo1CUFAQHnzwwYq2/Px89OzZE126dEHHjh3xwQcfuDBCaigURcH80R1xb8cmsNpUPLEmCUlnsitfkYiIiKiOcjjHJCoqCnv27EF8fDx+//13aJqGdu3a4a677qqJ+OqUZ599Fo8//jhWr15d0ebt7Y2EhAR4e3ujqKgIHTp0wOjRoxESIhkjSlSNjAYFbz/cBfml5dh67CImr9yF9dP7om0TccwvERERuZkGmGPidB2TIUOGYMiQIdUZS503aNAgbNmyRddmNBrh7X05wbCkpAQ2mw2aO5fcJLdiNhnw3mPdMGHFLuw+k43xK3bhiyf7IjpUUuaYiFxKKyuH5mj9IUnld1nCrtFfvCGhWcSEZo8C/XtzjiQeyZQ+Rkliu82iX84zS5L8bl9pHkBJI0ll8DRxOe20vkK5QZK7bPMRk/c1SfK+7EIt9xb9e99zkn1sLFZmP3peTNJ+sstWoe3l83fr3qdKEsW7BJ4T2rSLYha7wSbG5ntev1OZXSWTFkiOmVoiXvp5XRTPqTJ/+8kNxGVSCyX71CJFaNt7vLnufVCjfGGZnEtiQrxBUuX9wlnxxm/wLZd070v2icv4lkl+ly5eEpoUye+N0shue6VicruanSNu/2Y1wI5JlYZyvfPOOyj574wf77zzzg1fzjh//jwee+wxhISEwNvbG126dEFSUpJT25LZunUrhg8fjoiICCiKgm+++Ua63NKlSxEdHQ1PT090794dP//8c5W2n5OTg86dOyMyMhKzZ89GaGhotcVOVBlvswkrJvVEuyb+yCwoxWMf7kRqrjhrDxEREbmRBpj8XqUnJm+//TbGjRsHT09PvP3229ddTlEUh2uZZGdno3///hg0aBD+/e9/o3Hjxjh58iQCAwOly//666/o1auXMDPY77//jsDAQISHhwvrFBYWonPnzpg8eTIeeOAB6XbXr1+P2NhYLF26FP3798f777+PYcOG4bfffkOzZuIUf9cKDAzE/v37kZ6ejtGjR+PBBx9EWFjVpr0jqg4BXh5Y/XgvjHl/O5IzC/HYhzvxxZP9EOwj3vkhIiKius/ZmiT1vo5JcnKy9P+rwxtvvIGoqCisXLmyoq1FixbSZVVVxcyZMxETE4N169bBaLz8CPfYsWMYNGgQnn/+ecyePVtYb9iwYRg2bNgN41i4cCGmTJmCqVOnAgAWLVqEH374AcuWLcOCBQuqtC9hYWHo1KkTtm7dioceeqhK6xBVl0Z+FnwytTceWrYNJy8WYtLKXVg7rQ98LU6P2CQiIiKqNQ7PyjV37lwUFRUJ7cXFxZg7d67DAXz77bfo0aMHHnroITRu3Bhdu3a97sxWBoMBGzduxN69ezFhwgSoqoqTJ0/izjvvxIgRI6SdkqqwWq1ISkoSCkQOHToU27Ztu+G66enpyMvLAwDk5eVh69ataNOmjVNxEN2spoFe+HhqbwT7mHHgXC6mrd6NEtm4WiIiIqrbamm64MpSKjRNQ1xcHCIiIuDl5YWBAwfi8OHDN717Mg7fSn3ttdfw5JNPViR8X1FUVITXXnsNr7zyikPbO3XqFJYtW4ZZs2bhT3/6E3bt2oVnn30WFosFEyZMEJaPiIjAjz/+iDvuuANjx47F9u3bMXjwYLz33nuO7kqFzMxM2Gw2YfhVWFgY0tKuViu9++67sWfPHhQWFiIyMhIbNmyAwWDAlClToGkaNE3D008/jU6dOkk/Z8mSJViyZAlssmRGompySyNfrJ7cC49+sAPbT2Xh2c/2Yum4bjAZHb4PQUTVSVMBVFKI2P7fB5P4z7RmFRNvFR9xwgvV30tc1y5X3CRJRysOFf9WaJKxIaZi/Th2VXJF4ZUprlccIbaVBku2X6DffnFTsfK4okrG0vuJGd+++z2FNvvPVMXa0UCeuFOqJLl++YHbxTB89QfXyyzG9dmeXkKbR7h489e8T0wMz9fnk8NQJsYlOz4WbzEOQ5l4fGxm/fZ8o3OFZdLOBwltt7TLEtpg1Z9TJVbxYGul4nnn4SNJMi8VJwfIORGsjzVI3O/CloFCm29ugdBmy8gU2pQ8fbK+wT4ZHoDWJvrq/9tKgf3CInVSVVIq3nzzTSxcuBCrVq1C69atMW/ePAwZMgRHjx6Fn59ftcbjcMdE0zQokllF9u/fj+DgYMkaN6aqKnr06IH58+cDALp27YrDhw9j2bJl0o4JADRr1gxr1qzBgAED0LJlS6xYsUIak6Pst2G/rz/88IN0vX379lVp+zNnzsTMmTORl5eHgIAAp+MkqkzHyAB8MKEHJq7chU2/pePlrw/izQc7VcvvCREREdU8BU7mmDiwbGUpFZqmYdGiRZgzZw5Gjx4NAFi9ejXCwsKwdu1aTJ8+3fEAb6DKt1CDgoIQHBwMRVHQunVrBAcHV7wCAgIwZMgQjBkzxuEAmjRpgnbt2una2rZti7Nnz153nfT0dDzxxBMYPnw4ioqK8Pzzzzv8udcKDQ2F0WjUPR0BgIyMDCaxk9vqe0sIFj/aFUaDgi+SzmH+xiOcypqIiMhd3OSsXHl5ebpXaak4/XVlKRXJyclIS0vTpTtYLBYMGDCg0nQHZ1T5icmiRYugaRoef/xxvPbaa7o7/mazGS1atEDfvn0dDqB///44evSoru3YsWNo3ry5dPnMzEwMHjwYbdu2xRdffIHjx49j4MCBsFgs+Nvf/ubw51+Jv3v37oiPj8eoUaMq2uPj43H//fc7tU2iumBo+3C88UAnvPjFfnzwczICvc2YOaiVq8MiIiKiytxkHZOoqChd86uvvoq4uDhdW2UpFVdu2svSHc6cOeNEcDdW5Y7JxIkTAQDR0dHo378/TJJxr854/vnn0a9fP8yfPx9jxozBrl27sHz5cixfvlxYVlVV/OEPf0Dz5s2xfv16mEwmtG3bFps3b8agQYPQtGlT6dOTgoICnDhxouJ9cnIy9u3bh+Dg4IqpgGfNmoXx48ejR48e6Nu3L5YvX46zZ8/iySefrJb9JHKVB7tHIqfIinnfHcFbPxxFoLcHxvWWd/yJqBZJnmBq9jkmijiwQZH8+6uYJQkSNnH79nkgimSZUsn4fPt8kstt+vcFLcQcEJOkmJ9HrqSYn1/lOSYwiMtY0sXtl5jFPJ7iMHFdj3z99vM6iPkMAfvEKddl27IViTkaBWX6HB9LlwxhGaOXeMxUVZJrkSc0obCrPlfEmCcWmyz3E3NatbNiPpImOf5asH77ednewjImbzH+X4/eIrRZQiqvraWUiftdUiAef2Ow+D3Z8vXnv6lIPF89M8QYbOFijoyhXNwnLVf/BdjSJN/lNYVPNVV8MuEKKSkp8L+m+KrFIubnVDWlorJ0h+ricO+isLAQ//nPf3D33fqKpj/88ANUVa10Wl57PXv2xIYNG/Dyyy9j7ty5iI6OxqJFizBu3DhhWYPBgAULFuD222+H2Xz1ZO3YsSM2b96MkBAxGQkAdu/ejUGDBlW8nzVrFoDLna1Vq1YBAB5++GFkZWVh7ty5SE1NRYcOHbBx48brPrkhcidTb2+JnKIyLP7pBP78zSEEeplxb6cmrg6LiIiIrucmn5j4+/vrOiYy10up+OqrrwCgoj5gWloamjS5et1QU+kODk/T89JLL0lnldI0DS+99JJTQdx33304ePAgSkpKcOTIEUybNu26yw4ZMgSenuKdiS5dugiPrK4YOHBgxaxZ176udEqumDFjBk6fPo3S0lIkJSXhjjvucGp/iOqiF4a2xrjezaBpQOz6vfjluDjzCBEREdUNVwosOvOqqspSKqKjoxEeHo74+PiKn1utViQkJKBfv37Vsp/Xcrhjcvz4caFnBQC33nqrbrgUEdUtiqJg7v0dcG/HJiizaXji493Yn5Lj6rCIiIhIphbqmDz//PPYsWMH5s+fjxMnTmDt2rVYvnw5Zs6cCeDytUNsbCzmz5+PDRs24NChQ5g0aRK8vb0xduzYatvVKxzumAQEBODUqVNC+4kTJ+AjmUediOoOo0HBwoc747ZWoSiy2jBp5S6cyBDncSciIiIXq4WOyZWUis8++wwdOnTA//7v/wopFbNnz0ZsbCxmzJiBHj164Pz589i0aVO11zABnMgxGTFiBGJjY7FhwwbccsvlBKcTJ07ghRdewIgRI6o9QCKqXhaTEe+P746xH+zA/nO5GL9iJ756qh8iAsVibERUjTTHB4wLyfAAlCoWSy0LEoc9+5/VJzTntBST5kuaiJ/pmSYmVpvs7mkYC8VlSiSFE8t9JYno9onugFCMQbGK+13uLW7LM0XcJ0VW19Ju+yZJIrpiE5OvbWL+MHzPirEV9NEXSryYLV7ERYbmCG1nzjQS2oqaivtpKNAfb1uAJP5S8TuRkRaXtJtswJAlORYhkriyxY2ZAkp074vyxHNT9qthyJFN6iA2eVj1X2ZpoHg+GfNLhDZkSIpByiaXiIrQv8/JF5axnUu9+v+aWMTSGY4Oy7p2PUfcd999uO+++66/PUVBXFycMKNXTXD4iclbb70FHx8f3HrrrYiOjkZ0dDTatm2LkJAQp6frJaLa5WMxYeXkXrilkQ9Sc0swfsVOXCoUZzohIiIiqi0OPzEJCAjAtm3bEB8fj/3798PLywudOnViojiRmwn2MWPNlN54cNk2nLxYiMkrd2HttD7wsVTPVOBERER0E64plujwem7KqSsQRVEwdOhQXRVIInI/TQO98PGUXnjove3Yfy4XT36ShBUTe8JscvhhKhEREVWnm5wu2B051TH5z3/+g//85z/IyMiAquoHbn700UfVEhgR1Y5Wjf2wcnIvjP1gB34+nolZn+/DO490hcHgvndciIiI3F1t5ZjUJQ53TF577TXMnTsXPXr0QJMmTWqk6iMR1a4uUYF4f3x3PL4qEf86kIoQHzPiRrTn7zdRbbOvBq9J6obZxIRmzSom25aEionD3hf0CcDWADGh2TOsUGgznBWLtJX76t/7XBD/XpQGCk2Q3c5VJTna5UH6G5+e6eJCqlncliJJjjZKcpELovXJ4oY0MSHbXCBuP/B3cVsGmyQJ/LR+QhFDK3EGxHAfsaT7mbLGQltZUzEH0Oc3fRZ+gWSCJI8c8em3JjnWZY3FA2Sf7K6ZJFe72eL5I9u+zWYXR4F4+al5iV+c+by4fe80ybG2Cz90v5icrnmIgRkCxPPadj5VXK7UrpJ741BhGSXiaptiKwUOCos4jk9MKvfee+9h1apVGD9+fE3EQ0QucntMIywc0wXPrtuL1dvPINjHgufuinF1WERERA2Tk09M3Llj4vBAcqvVWiOVHonI9YZ3jsBrI9oDAN7efAwf7zjj4oiIiIiooXC4YzJ16lSsXbu2JmIhojpgQt8WeG7w5Sclr/zjEL47ID7WJqoPli1bhk6dOsHf3x/+/v7o27cv/v3vf1f8XNM0xMXFISIiAl5eXhg4cCAOHz7swoiJqEGphQKLdY3DQ7lKSkqwfPlybN68GZ06dYKHh34M68KFC6stOCJyjdi7YpBVWIpPdpxF7Pq9CPT2QP9W4phaIncWGRmJv/71r2jVqhUAYPXq1bj//vuxd+9etG/fHm+++SYWLlyIVatWoXXr1pg3bx6GDBmCo0eP1kjFYyIiHeaYVO7AgQPo0qULAODQoUO6nzFRlqh+UBQFr43ogEuFVmw8mIYn1uzGuif6omNkgKtDI6o2w4cP171//fXXsWzZMuzYsQPt2rXDokWLMGfOHIwePRrA5Y5LWFgY1q5di+nTpzv+gQYjoFRSiVvVJwArHmLyLyQz5mlFRUKbR4GYTGwo1yeUe4h57ugSKQ7h3Lmvo9BmtCukbckWr4aKw8Ttqz6S7HRJxrTqrV+uRJZ8LTmcSql4fJRwseq3/QWQIdNLWEZWDsIgFlhHQZS4oLfdw+bSUrEzu7OgpbgxyX5aksVy8yV2VdcN+eIlnbFIMiFBqCq0wSpJkg/SZ5QbLornon3SOQCU+4vbLy20S6T3lJwD5WIMlmxxMXOeeHyC99ktmJ4prijjL34nhhZR4nKpGfr3aReFRZQwu+T3asBZuargp59+qok4iKiOMRoUvP1wF+QUJWLbySxMWrkLXz7VD9GhPq4Ojaja2Ww2fPHFFygsLETfvn2RnJyMtLQ0Xb0ui8WCAQMGYNu2bTfsmJSWlqL0mll88vLEmZeIiEjEKmpEdF0WkxHLJ/RAh6b+yCq0YvyKnUjPE+88ErmrgwcPwtfXFxaLBU8++SQ2bNiAdu3aIS0tDQAQFqa/5R8WFlbxs+tZsGABAgICKl5RUZI7sERElWGOSeUGDRp0wyFbP/74400FRER1i6/FhFWTe+HBZdtwOqsIEz/ahfXT+yLAS6yRQORu2rRpg3379iEnJwdfffUVJk6ciISEhIqf2/97p2lapcOWX375ZcyaNavifV5eHjsnRERV4PATky5duqBz584Vr3bt2sFqtWLPnj3o2FEcg0pE7i/U14KPp/RGIz8Lfk/Lx7TVu1FSJhkjTORmzGYzWrVqhR49emDBggXo3Lkz/u///g/h4eEAIDwdycjIEJ6i2LNYLBUzfV15ERE56kqOiTMvd+XwE5O3335b2h4XF4eCArGqKRHVD1HB3ljzeC+MeX87dp2+hGc+24tl47rBZOSIUKo/NE1DaWkpoqOjER4ejvj4eHTt2hXA5TpeCQkJeOONN5zatmJQdE9btHIxi9rg7a2PxypW/IZatd85U7F480Cxq1CuSTZ14GIToc3aTkyuR6q+UrpBkrxskOQAm7LESw+bn5gwbc7QL1fmL15t+TbNFdoKJFXqWzS+JLSd295Uv61zYqzlYj48SkLEJ2ZlfmJsRqt+uTJJUrj5vPjk2X49ADAWi3F4ZumXU43ieiWNxLhUiyT5XUIr1s8sIKv8Xi6ZmwE2MQ6zt/48NhjEbVnP+AptquQq1fe85HfCLhldKxFPPNnvm1IsDk02SBLi1ZaR4mfar5d39XdEUat2jKvEjTsZzqi2K4rHHnsMH330UXVtjojqoLZN/PHhhB4wmwyI/y0dczYcgqY1sL+aVG/86U9/ws8//4zTp0/j4MGDmDNnDrZs2YJx48ZBURTExsZi/vz52LBhAw4dOoRJkybB29sbY8eOdXXoRNQQMMfEedu3b4enp2flCxKRW+vdMgTvPtoVT32ShPW7U9DIz4IX727j6rCIHJaeno7x48cjNTUVAQEB6NSpE77//nsMGTIEADB79mwUFxdjxowZyM7ORu/evbFp0ybWMCGiWsHpgqvgynzuV2iahtTUVOzevRt/+ctfqi0wIqq77m4fjtdHdcTLXx/E4p9OIMTXjMn9o10dFpFDVqxYccOfK4qCuLg4xMXF1U5ARETXYoHFygUE6AusGQwGtGnTBnPnztXN905E9dujvZohM78Uf48/hrn/+g2hvhYM7xzh6rCI6ixDgD8MhquD8tUcMT9ClRRKrNK2vcQRC6Z8cSy+8aL+M/3OeQvLZBwIEdp82ucIbfkh+hyEAqOYL6FI5shQyiQFIo3ilZTNyy4fxk/MEcjPFuM3qOL2T6U0Etos9stJhqUaJekMskHw5hzxMwta6OM1lIormiQFEL0yxThKAyR5G3aFBovCxGXKvSX7VCzGoUjyQpRm+uqb5VmyApSSK2DJpHVGY+U5FzZfSUHQMjFW8zlJ1cUyu3PDJjnxJG1KoFg0WC0Qq45ql/SfaWwUKixT1OHqv3/lZSVAshgCVa5KHZN33nkHTzzxBDw9PfHaa68hMjISBgMTXokauqfvbIWLBaVYs/0MZn2+D0HeZtwWI/7BJiIiIsc0xKFcVepdzJo1q6JybXR0NDIzM2s0KCJyD4qi4NXh7XFvxyYos2mY/vFuHDov3gUmIiIiBzH5XS4iIgJfffUV7rnnHmiahnPnzqGkRF79uVmzZtUaIBHVbUaDgoUPd0Z2kRXbTmZh0spd+PLJfmgR6uPq0IiIiNxXA8wxqdITkz//+c+IjY1Fy5YtoSgKevbsiejoaN2rRYsWiI5m8itRQ2QxGfH++O5o18QfmQVWTPhoFzLy5TcviIiIqHIssHgdTzzxBB599FGcOXMGnTp1wubNmxESIibHEVHD5efpgVWP98SDy7bj7KUiTF6ZiHVP9IGfp5gQS9QQqXkFUJVrfh+MRslCVbii0MREYlk9Ic0gSTL30ScwlwSK9yc1SVhl5ZJGO7JEd690cfuqZFOekqKLxY31+2T2ETPRrTkWoc1QKu63Kin+aF8w0OovSR6XPPgtCROT8D3TxfgVu8RtzUPyHUmuwqx+YhwG8SOh2J0r5V7ierLkevtJBQD55ANqmd0XJclfNwaXidsvFHeq3O78CQ0QC3IX5YrJ9T7pkg+1SKo62v0uaTZxPcUkxqXl5onLeYrnFMz6z1TtkuEBwHvf1S+pXJXNmuCEBvjEpMqzcvn5+aFDhw5YuXIl+vfvD4tF8sURUYPW2M8Tax7vhQff24bDF/Iw/eMkrJzcExZT5Rc1RERE1LA5PLXWxIkT2Slx0pIlS9CuXTv07NnT1aEQ1ZgWoT5YOakXfMxGbDuZhVmf74dalbvAREREdFUDTH7nnL+1aObMmfjtt9+QmJjo6lCIalTHyAC8P74HPIwKvjuQitf+eVg61ISIiIjkGmKOCTsmRFQjbosJxd/HdAEArN5+Bku3nHRtQERERO6kAT4xcbjyOxFRVY3oHIGsglK89s/f8NYPRxHqa8bDPTmlODVMiocRiuLYP7uafUVrAIpJUmFdkSQ+p0oqZNslxHsUiVcwsirgxRmSCutW/b1NpVxS8luWMC1Jklclh8W+EriaLiZHQ1IN3iNfkvQfKS5nDbffd/G4lvlLdkByS7ckSkx2Vjz06xoyxaRtVZIQn99KPEABv4sHqKCpPhBZgrypRDwWpbKUP8mFbHmeXbyqZFIBybkCSVuwv76aevolf2EZpVAMrDBMPNje6eKMBJZc/flpkFR518rFA6QWFwttKC0VY7P7nTMEB4rb9/e9+v+2UiBd3LSjWGCxCubOnYuioiKhvbi4GHPnzq2WoIio/pjcPxpPDbwFAPDy1wcR/1s1/LUmIiKq7xrgExOHOyavvfYaCgok07wVFeG1116rlqCIqH6ZfXcbPNQ9EqoGPL12D3afvuTqkIiIiKiOcbhjomma9JHx/v37ERwcXC1BEVH9oigKFozuiDtvbYzSchWPr0rEsfR8V4dFRERUd/GJyfUFBQUhODgYiqKgdevWCA4OrngFBARgyJAhGDNmTE3GSkRuzGQ0YMnYbujWLBB5JeWY+NEuXMiRjO8lIiIiKDfxcldVzsJbtGgRNE3D448/jtdeew0BAQEVPzObzWjRogX69u1bI0ESUf3gZTZixcSeeOj97TiRUYAJH+3Cl0/2RaC3pJIvUT2jFhVDVa5JwJWMPlDMVfhdkFR0h0cVq1rbJe2a88QkYYNVTAI3ShKTYbCrPB4kJhcXeYjreRSI8RuLK7+U0szibWCjWUxOLw2WVP2WbM8zRX+sZRXdIamIbl/RHQA0TdJmNzmAJjmEpRFi5XSlSFywoLm4TzZvfZvXefEckE0q4JVWtQr3UPTxl3tLbsPniecKPMRYs/P1yem2EklgJnH7ZWKOPAqbSCYRMIbr3nueFpfRzpwXNyahGMXjr5XpJzdQL+UIyxivqSyvqGICvVNY+f36Jk6cCACIjo5G//79YTJxQi8iclyQjxmrH++FB5Zuw4mMAjy+KhGfTu0DLzOrwxMREV3BWbmqwM/PD0eOHKl4/49//AMjR47En/70J1it4nR5RET2mgZ6Yc2UXvD3NGHP2RzMXLsHZTbJtJxEREQNFXNMKjd9+nQcO3YMAHDq1Ck8/PDD8Pb2xhdffIHZs2dXe4BEVD+1DvPDR5N6wmIy4MffM/Dy1wdZHZ6IiKgBc7hjcuzYMXTp0gUA8MUXX2DAgAFYu3YtVq1aha+++qq64yOieqxHi2AsGdsNRoOCL5PO4Y3vj7o6JCIiorqjAT0tAZyo/K5pGlT18pCLzZs347777gMAREVFITMzs3qjI6J67652YVgwuiNmf3kA7yWcRKivGVNvb+nqsIiqn8EIKNfkUmni8EXNbki0rMo7JFWtIalErRRLEnDthkyWe0vuT0oubGx+ks+06Nu8TliERUobiftoDRTbDD5iQrbPGf0lSmELMTndli8eH0WSrmZM8RRjC7HbJ0nStiJJyJZd9xnzxQ81WPX7pEqS9yFLpJdUg/eMlNSPS/XVvZcm/Us+0lgifqYsSd6co49fkcwNoJrF780mSaQvLbRLRreKMRhKq3Yu5jUXlyvz0m/fYAsSlrGUihMNqFnVV1NLu6ZivKZWT2oDc0yqoEePHpg3bx4+/vhjJCQk4N577wUAJCcnIywsrNoDJKL6b0yPKMz+QxsAwLzvjuCbvVWbPYWIiKjeYo5J5RYtWoQ9e/bg6aefxpw5c9CqVSsAwJdffol+/fpVe4BE1DA8NeAWPN4/GgDw4hf7seVohosjIiIicp0rT0yceTlrwYIFUBQFsbGxFW2apiEuLg4RERHw8vLCwIEDcfjw4ZvfQQmHh3J16tQJBw8eFNrfeustGCVzPxMRVYWiKPjzvW2RVViKf+y7gKc+2YO103qjazPxkTwREVG9V8t1TBITE7F8+XJ06tRJ1/7mm29i4cKFWLVqFVq3bo158+ZhyJAhOHr0KPz8/Jz7sOtwuhhJUlISjhw5AkVR0LZtW3Tr1q064yKiBshgUPDWg51xqdCKn49n4vFVifjiyX5o1di38pWJ6jrVJhStE9gVXbQv7AYAiqyOmEGSq5CXL64bFKB7X+YlyTewiFc1fuHitsrK9HGU+4hF7QylYg6CJVuSI+AjfqY1wK5NUuzQlC0ei/JQMZegXJJ4otkXZ5TkPcAk5tYY88Rt2QLFBAxjqj7/xRZatW3JFKaJiRuWLH28stwdY4G4T0UR4nKemeJyHnZfuc1L/C49JCkahf6SopRF+u/JUCIpLmqT5Kt4iduS5cPY/95Y8sVz0ZQfKLQZioqENq1EzM3SVLs4JDkkau7VA6Zq4jlY1xUUFGDcuHH44IMPMG/evIp2TdOwaNEizJkzB6NHjwYArF69GmFhYVi7di2mT59erXE4PJQrIyMDgwYNQs+ePfHss8/i6aefRo8ePTB48GBcvHixWoMjoobHbDLgvce6o3NkALKLyjBhxU6k5ha7OiwiIqJadbNDufLy8nSv0tLrV6SfOXMm7r33Xtx111269uTkZKSlpWHo0KEVbRaLBQMGDMC2bduqfZ8d7pg888wzyM/Px+HDh3Hp0iVkZ2fj0KFDyMvLw7PPPlvtARJRw+NjMeGjST3RspEPLuSWYPyKXcguZAFXIiJqQG4y+T0qKgoBAQEVrwULFkg/Zt26ddizZ4/052lpaQAgTHAVFhZW8bPq5PBQru+//x6bN29G27ZtK9ratWuHJUuW6HpTREQ3I8TXgo+n9MYDS7fhREYBHl+diE+n9oa32ekRqERERO7jJnNMUlJS4O/vX9FssYhTeqekpOC5557Dpk2b4OkpTqt9hWI/zFTThLbq4PATE1VV4eEhzhvu4eFRUd+EiKg6NA30wsdTeiHAywN7z+bgqU/2wFrOvzNERFT/3exQLn9/f91L1jFJSkpCRkYGunfvDpPJBJPJhISEBLzzzjswmUwVT0rsn45kZGTUSJkQh2893nnnnXjuuefw2WefISIiAgBw/vx5PP/88xg8eHC1B0hEDVtMmB9WTu6JcR/sRMKxi3jxi/1Y9HAXGAzVf6eGqEYpii5JV5HMZKnJiifaL2OfiHsdqmQ8udFuXd8L4hDJvJbixUt5uRir0ai/SSCL3Oec+HtaGiIu550uLme1m+yn3FuSdO4luVEhSWI3FUoS7u0KHire4h4opireCJHVBrS7h2vMES+5NElCvyYp6miQFEVUVP0xk+5jqKQqoqxo5CUxWbyksf69sUTclEG2eUmxSdWuaKQmO14GMS6PfMmkDt7icqUh+u+pJFNSsNMsOYfN4n6jTNwp+99VxSzeoNdsNXDTrBZm5Ro8eLAw2+7kyZNx66234o9//CNatmyJ8PBwxMfHo2vXrgAAq9WKhIQEvPHGG04Ed2MOd0wWL16M+++/Hy1atEBUVBQURcHZs2fRsWNHfPLJJ9UeIBFRt2ZBWPZYN0xdvRvf7r+AYB8zXh3erkYeIxMRETUUfn5+6NChg67Nx8cHISEhFe2xsbGYP38+YmJiEBMTg/nz58Pb2xtjx46t9ngc7phERUVhz549iI+Px++//w5N09CuXTshi5+IqDoNbNMYfx/TGc+t24dV204j2MeMZwfHuDosIiKiGqFoGhTN8UcmzqxzI7Nnz0ZxcTFmzJiB7Oxs9O7dG5s2bar2GibATdQxGTJkCIYMGVKdsRAR3dD9XZoip6gMr357GAvjjyHI2wPj+7ZwdVhERETVr5YLLF6xZcsW3XtFURAXF4e4uLib23AVVDn5/ccff0S7du2Ql5cn/Cw3Nxft27fHzz//XK3BERHZm9ivBZ7775OSV749jG/3X3BxRERERNXvZpPf3VGVn5gsWrQI06ZN0007dkVAQACmT5+OhQsX4vbbb6/WAImI7MXeFYPsIivWbD+DWev3wd/ThIFtGle+IpELKWYzFOWapFlJErtQoFxSKV7xlCSnh/oKbaZUcTnNS99W7iWpPC5J3SrO8hLa2sTobwocDRarkyNVvMzwShf322YWP7QoWl892/OCmHBc0lxM8LevMg4AZY3EStw+wfrCrcVFksr1koTscn8xSd7DS9y+zaKPwyNP/C6twWLCtCz53SNXXLfcrip6uaT6vKFAVvFe3H5RlGTdUv1nGotk1dqFJkCSA65a7Bol55glQ3JJKrnAViXxi8n1kg+o4sW64i2e61p+vv69JOlfMYnn501z0RMTV6ryE5P9+/fjD3/4w3V/PnToUCQlJVVLUEREN6IoCuKGt8fwzhEoVzU8+UkSks5ccnVYRERE1aYhPjGpcsckPT1dWr/kCpPJhIsXL1ZLUERElTEYFPz9oc4Y0LoRSspUTF6ZiN/TxKGmRERE5B6q3DFp2rSpMM/xtQ4cOIAmTZpUS1BERFVhNhnw3mPd0b15EPJKyjF+xS6czSpydVjkphYsWABFURAbG1vRpmka4uLiEBERAS8vLwwcOBCHDx92XZBE1HBoN/FyU1XumNxzzz145ZVXUFIiVtgpLi7Gq6++ivvuu69agyMiqoyX2YiPJvbEreF+uJhfinErdiA9T1IJjOgGEhMTsXz5cnTq1EnX/uabb2LhwoVYvHgxEhMTER4ejiFDhiDfbsw5EVF1a4hDuaqc/P7nP/8ZX3/9NVq3bo2nn34abdq0gaIoOHLkCJYsWQKbzYY5c+bUZKxERFIB3h5Y83gvPPT+dpzJKsKEFbuwfnofBHpLqvoS2SkoKMC4cePwwQcfYN68eRXtmqZh0aJFmDNnDkaPHg0AWL16NcLCwrB27VpMnz7dsQ+y2aTJ7NcSq7qL2cUGk/hPtylDHMaoSWoZGPIL9e/Lg8VlxHxy+J4Qh3If8wzTr1cs7ltBczET2veMuJzRKsYavFu/nzYxlx9lfpIK3LK8Z0ly/cCoE7r3P51tJSwjq3gf3CRXaMs+GyS02dd/tXlW7WrR4Ccm0pf5iNnWvv765P38i+IECLJEd6VcPBayCvSql/7cU73FWGVJ7IZC8ZjZV4O3T1a/vC2xzVgqfoBB0ma/T+U+kmVktT2qWO/D4KVPiFeLi4VlNNvV46VpslkBnMDk9+sLCwvDtm3b0KFDB7z88ssYNWoURo4ciT/96U/o0KEDfv31V4SFhVW+ISKiGtDY3xOfTOmNxn4WHE3Px6SViSgslUydQmRn5syZuPfee4VCwcnJyUhLS8PQoUMr2iwWCwYMGIBt27Zdd3ulpaXIy8vTvYiInNGQnpYADhZYbN68OTZu3Ijs7GycOHECmqYhJiYGQUHinQIiotoWFeyNj6f0xpj3t2NfSg6mf5yEFZN6wGKSTIlKBGDdunXYs2cPEhMThZ+lpaUBgHDTLSwsDGfOnLnuNhcsWIDXXnutegMlooZH06r8VEdYz01V+YnJtYKCgtCzZ0/06tWLnRIiqlPahPth1eSe8DYb8cuJTDz32T6U2yQT61ODl5KSgueeew6ffPIJPD09r7ucYjcmR9M0oe1aL7/8MnJzcyteKSkp1RYzEVF95tATEyIid9C1WRA+mNADk1cm4vvDaXj564N444FOMMiKblGDlZSUhIyMDHTv3r2izWazYevWrVi8eDGOHj0K4PKTk2tnnczIyLjh0GWLxQKLRVLcUNWgXTvOQpWMQ7fv8MjufEZIiomeTxM/TzYO3mSftyEZiy/pxxvEtAdx20HiQoZ0Mc/LVCLuU3Zbsc0rXX/vtDBaHJqp2CS/05L4FYt4rI/m6Y9jWZn4ZNXDQ1zPy0OM45JJ/FAlQL+cck7s/BpDJAk9El6+4oQennZx5EvG8GgeYlzGAvHSTzNJjqNdjonJU5L7kis5zyX5I/YFCU2SYo2W7KoVRfQoqHw5o+SwWgPEc9Eo+f1SL+WIy4XY3YSX3Zi4ZlsGTQGqYYJIZ4dmufNwLqeemDRUo0aNQlBQEB588MGKtvz8fPTs2RNdunRBx44d8cEHH7gwQiK6on+rULzzaFcYDQq+SDqHed8dkSYDU8M1ePBgHDx4EPv27at49ejRA+PGjcO+ffvQsmVLhIeHIz4+vmIdq9WKhIQE9OvXz4WRE1GD0ACnC+YTEwc8++yzePzxx7F69eqKNm9vbyQkJMDb2xtFRUXo0KEDRo8ejZCQEBdGSkQA8IcO4XjzgU544Yv9+OjXZAR4eeC5u2JcHRbVEX5+fujQoYOuzcfHByEhIRXtsbGxmD9/PmJiYhATE4P58+fD29sbY8eOdUXIRNSAKKr8CWZV1nNX7Jg4YNCgQdiyZYuuzWg0wtv78hx6JSUlsNlsvCtLVIc80D0SeSVleO2fv+Htzcfg52nC47dFuzoschOzZ89GcXExZsyYgezsbPTu3RubNm2Cn5+fq0MjovqO0wW7lqzqbnXYunUrhg8fjoiICCiKgm+++Ua63NKlSxEdHQ1PT090794dP//8c5W2n5OTg86dOyMyMhKzZ89GaGhoNUZPRDdrcv9ozBrSGgAw91+/4fPdTEYmuS1btmDRokUV7xVFQVxcHFJTU1FSUoKEhAThKQsREVWPOvPE5HpVd+39+uuv6NWrFzw89EWVfv/9dwQGBiI8PFxYp7CwEJ07d8bkyZPxwAMPSLe7fv16xMbGYunSpejfvz/ef/99DBs2DL/99huaNWt2w5gCAwOxf/9+pKenY/To0XjwwQdZ04WojnnmzlbIKy7Dh78k46WvDsDHbMK9nZpUviJRdVErL7Bon+yueIgJu9bGPkKbx1nnxm6okqTnckkhPU0StjFdn/isNhETtMv9xeTx4kbipUfg7+L2PXP0+6QZqnbJooo1F1GqivuZ7q8vSGgwiLeZ72t5WGj74mA3oc3oKybE20r1yfTmWwqEZcySRPr8HPELCA4VJzI4c1Z/E9QgSfDXJNUmyyXHAhZJ8n6u/kCWye7CS7alSeJQCvXbMueK6/mkShL1SyVFQsvFtsJw/bH2zpBMWpCcLbTBKib0a+WSthK7c9smKXwacrVYqUEtZfK7k+rEE5Nrq+7eaPphVVUxc+ZMjB07FrZrTopjx45h0KBBWLNmjXS9YcOGYd68eRWVe2UWLlyIKVOmYOrUqWjbti0WLVqEqKgoLFu2rMr7ERYWhk6dOmHr1q1VXoeIaoeiKJhzb1s80jMKqgbErt+Ln45muDosIiIiuSt1TJx5uak60TG5XtVdewaDARs3bsTevXsxYcIEqKqKkydP4s4778SIESMwe/Zspz7farUiKSlJV90XAIYOHXrD6r4AkJ6eXlHVNy8vD1u3bkWbNm2kyy5ZsgTt2rVDz549nYqTiG6Ooih4fVRHDO8cgTKbhic/TsKOU1muDouIiEjgTNV3d6/+7vKhXDequisTERGBH3/8EXfccQfGjh2L7du3Y/DgwXjvvfecjiEzMxM2m01a3fdK5V8AuPvuu7Fnzx4UFhYiMjISGzZsgMFgwJQpU6BpGjRNw9NPP33d4WgzZ87EzJkzkZeXh4CAAKfjJSLnGQ0KFo7pjKLScvzn9wxMWZWIT6f1QZeoQFeHRkREdFUDTH53acfkStXdTZs23bDqrr1mzZphzZo1GDBgAFq2bIkVK1bcsApvVVVW3feHH36Qrrdv376b/mwiqj0eRgOWjOuGx1clYtvJLEz8aBfWPdEHbZv4uzo0IiIiAA0zx8SlHZPKqu6WlpbCaBQrsaanp+OJJ57A8OHDkZiYiOeffx7vvvuu03GEhobCaDTqno4AlVf3JSL35elhxAcTemD8ip3YczYH41fsxPrpfXFLI9/KVyaqLZqYEGywShLdyyQJu6qkArfVqnvvUSBJ4rWK/+7aJPcOzTn6m3llkoU888SbhkUtxFiNJWLGelET/bqeklGXNrHwuDT53VQsxlFi95my5PfkQrEmWUCAmNWckyq5qWGXBG4rF0fP5+WLExkEheaLsZaLl2tKif57MmaKOy7JfUd5iHj8Lb5iqXSbpz4x32gSzxWrQXKw88Q2xS7HXzbBgiyp3SelUFwuT5wIwHJJP323R2qOsIwt5YL4oRIGi+SksrsWVUvF46VlXj1BbZp4jKlqXJpjUlnVXVmnJDMzE4MHD0bbtm3x9ddf48cff8Tnn3+OF1980ek4zGYzunfvrqvuCwDx8fGs7ktUj/lYTFg5uRfaNfFHZoEV4z7YiZRL1TCVChER0c1qgMnvLn1iUpWqu9dSVRV/+MMf0Lx5c6xfvx4mkwlt27bF5s2bMWjQIDRt2hTPP/+8sF5BQQFOnDhR8T45ORn79u1DcHBwxVTAs2bNwvjx49GjRw/07dsXy5cvx9mzZ/Hkk09W814TUV0S4OWBj6f0wiPLd+B4RgHGfrgDn0/viyYBXq4OjYiIGjAO5arjDAYDFixYgNtvvx1m89W53Tt27IjNmzcjJER85AoAu3fvxqBBgyrez5o1CwAwceJErFq1CgDw8MMPIysrC3PnzkVqaio6dOiAjRs3onnz5jW3Q0RUJ4T4WvDp1N546P3tOJNVhHEf7sT6J/qikZ/kkT4REVFtYPK7623ZsuWGPx8yZIi0vUuXLtddZ+DAgdCq8FhrxowZmDFjRqXLEVH909jfE59O7Y0x723HqYuFGL9iJz6b1gdBPmKBOyIioprGJyZERA1YZJA31k7rg4fe347f0/Ix4aNd+HRab/h7ShI8iRylKJdfDq0jpoKaMsUK4mq5WEEcqpisbF+x2nJJksQrqTbvIeZjC1mqxlJx31RJv14pk+xTsaTCd5l+e4HHrcIysiryimS3C6LEzywv1k90UdJCPBZJp5sJbcGBYkK2YpVlmetjK5MkvytmMdjcXDEz3HBBnFjA/7z+M62SKgSlwZJq6jniMSvLF9sMdt+nNUI8PsZU8amybKIBg91X53tO/L7NOeI5bCiWJJFfyhE/M0tf1V0tLhGWkdEkFdxlbYqm/86NoaHCMmr2NTFokpPQGap2+eXMem6qThRYJCKqK1qE+uDTqb0R7GPGwfO5mLwyEYWlkos+IiIiqlbsmBAR2Wkd5oePp/SCv6cJSWeyMWV1Ioqt1XQHjIiIqCq0m3i5KXZMiIgk2kcEYM2U3vC1mLDj1CU88fFulJSxc0JERLVDwdU8E4derg78JrBjQkR0HV2iArFyck94m434+XgmZny6B9ZySXE7IiKi6sY6JkREdK2eLYKxYmJPTF61Cz/+noGn1+7BknHd4GHkfR1ykObEGAuDeO9TKZEkrEsSdqu0+QIxSVj18BXaLLniumW++tjMkmVUsU4yfFPE3x1NslzQMf1+mi+KSeemIrHekGYUj5nRKk5gYbTqv4uzzcT1Gv1bTO7O6Ctm9AcfrDyhv9xLcsmliW02ixiHV5Z4Q8Scp899K/MVD6JiE8832fbLfMQ2S47+M63HxGPhlSWed4Yy8TOtfvrYvC5Kqs+nSWZYyMoRmrRScRIErVisBi8sI/sdkV3AV2GCCq1ILMSrXFMxXtEUoBpSExvirFz8l5WIqBJ9bwnBBxN6wGwyYNNv6Xhu3V6U2/jkhIiIahBzTIiISOb2mEZ4f3x3mI0GbDyYhtj1+9g5ISIiqkbsmBARVdGgNo2xdFw3eBgV/OtAKl74Yj9sbjxfPBER1V2Kpjn9clfMMSEicsBd7cKweGw3zPx0D/6x7wKMioK3HuoMoyQXgOimyTq+sid1VbwQUa36sf3GS2JiSPiOIKHNnC0Z1++hv7dpLBYH1Rc0E4sF+v+eI7SV+4sFBD0On9E3SH7HPM5K8gaahgtNlqPiftrCQ3Tvb/lYzKEwX7gotHllisfHKzlTaNO89LkoqpeY56KaxPvDHhmSXItcSZufj92K4iWd6i3mwxgKZEU1JYUq7XM5JOeYUsUbM9523510Pcn2bZJiirLzAEZ9DotWJknwkBQrlU5fVYXCpLI8FO2a30tNq6baV+p/X86s56b4xISIyEF3tw/Hu492hdGg4Ou95/E/X/LJCRERVa+G+MSEHRMiIicM69jkaudkDzsnRERUzRpg8juHchEROemejk2gacCz6/bi6z3nAQ0c1kVERNXD2ZokfGJCRNQw3dvp8pMT03+HdT3P2bqIiIicwicmREQ36Z6OTWBQFDy9dg++3X8BNlXDoke6sAgj3TRDgJ/QVpVicgDkheLsEnu1InFbPqcklRIzLolxlOiLMyqRYtJ5YKK4LS1PTOQ2Z4nJ72qpPklbMUkStH3E5HppUb4ysaBfeYA+2d1yPE1cL0AsNul9TEyIh1XcvlJsF7+kKJ9RMvxTLRALSSqS5HTkF9htTCywaKji3yDZsdXs45Bs3/47AgCDr4/QpnjZFcKUbEv2HSme4oQEVTn/Fdn2pQUWq3YTSbP/niRPJAw+V/fRoBmBnCpt+oZYYJGIiJzyhw7hWPZYd3gYFXx3MBUzP92D0nLnqnETERFVDOVy5lVFCxYsQM+ePeHn54fGjRtj5MiROHr0qF0YGuLi4hAREQEvLy8MHDgQhw8fru69BcCOCRFRtRnSLgzLx1+tEP/kx0koKWPnhIiIHKeozr+qKiEhATNnzsSOHTsQHx+P8vJyDB06FIWFV5+Yvfnmm1i4cCEWL16MxMREhIeHY8iQIcjPl0xjfZPYMSEiqkaDbm2MFRN7wNPDgJ+OXsSU1YkoslbTnPZERNRw1MITk++//x6TJk1C+/bt0blzZ6xcuRJnz55FUlLSf0PQsGjRIsyZMwejR49Ghw4dsHr1ahQVFWHt2rXVvsvsmBARVbPbYxph1eRe8DEb8euJLExYsQt5JeL4aSIiouu6yemC8/LydK9SSU6Qvdzcy3lhwcHBAIDk5GSkpaVh6NChFctYLBYMGDAA27Ztq4691GHyOxFRDejTMgQfT+2NSR/twu4z2Rj7wQ6sntwLIb5iMifR9Sh+YvK1mi5JvjaIyb7SCtb2CfGyhODMbKFJKxQTsjWrvjJ4YRuxIrr3d/uENkPzpkKbmi5WTrePVXosJIn0skRumMWq68Yi/c0CTXLRplrEfTJcFI+PLIlaSB6X0CQz+GllVqFNlgSuFuqT6Y3+4vHRSiQXoh7isdAKJBMeCAtJ7sLLEuJlyft2kwMoFklSu1Xcb002qUAVJkGQxqBJqrWXS5LYPcWJGBS7hH7Zd3ttrJpWN25ERUVF6d6/+uqriIuLu+7ymqZh1qxZuO2229ChQwcAQFra5UkhwsLCdMuGhYXhzJkz1Rsw2DEhIqox3ZoF4bMn+mDCil04dD4PDy/fgU+m9EZ4gPgPHxER0bWcreJ+ZZ2UlBT4+/tXtFskHcJrPf300zhw4AB++eUXcZt2Nwo0TRPaqgOHchER1aD2EQFYP70vmgR44kRGAR5Ytg3JmZXfSSUiogbuJnNM/P39da8bdUyeeeYZfPvtt/jpp58QGRlZ0R4efnka8CtPTq7IyMgQnqJUB3ZMiIhqWKvGvvjiyb6IDvXB+ZxiPPTeNhw6X4WhE0RE1HBpAFQnXg48ZNE0DU8//TS+/vpr/Pjjj4iOjtb9PDo6GuHh4YiPj69os1qtSEhIQL9+/Zzft+tgx4SIqBZEBnnj8+l90T7CH5kFVjyyfAe2nZSMqyciIsLVoVzOvKpq5syZ+OSTT7B27Vr4+fkhLS0NaWlpKP5vIUtFURAbG4v58+djw4YNOHToECZNmgRvb2+MHTu22veZOSZERLWkkZ8Fnz3RB0+s2Y0dpy5h0keJWPRIF9zTsYmrQ6M6SvWXVDbPqLyiOwBpQrzBLglclVUj9xErd6uSJGpjoxDde7+9qeJ6korlmqyatyxJu0sb3Vvb3iPCIkJFcciTqA3e4nKmsxn67dtXUgegnDgrxiVJjpZWfg/w171Xsy6J60mSx43+/kKbLS+v8uUkVeSlJBMeCJXNIVZPl00OIEymAEAxm8U2u4R1rVycQl22niz5XZUd63L98TH4+Ynbkn2m5FjIfifsL/SNEeHierJJKW6WBoem/tWtV0XLli0DAAwcOFDXvnLlSkyaNAkAMHv2bBQXF2PGjBnIzs5G7969sWnTJvhJjvPN4hMTIqJa5O/pgVWTe2FYh3BYbSpmrt2DVb8muzosIiJqgDRNk76udEqAy09N4uLikJqaipKSEiQkJFTM2lXd2DEhIqplnh5GLB7bDeP7NIemAXH//A3zNx6BWtU7nkREVP/VQoHFuoYdEyIiFzAaFMy9vz3+5+7Lw1WWbz2FZ9btRUmZZEgO1Yi4uDgoiqJ7XZmBBrh8JzEuLg4RERHw8vLCwIEDcfjwYRdGTEQNijOJ71deboodEyIiF1EUBTMHtcLCMZ1hMij47kAqHvtwJy4VimPkqWa0b98eqampFa+DBw9W/OzNN9/EwoULsXjxYiQmJiI8PBxDhgxBfr5Y1I+IqLrVRvJ7XcPkdyIiFxvdLRLh/p6Y/kkSdp/Jxuilv+KjST3RspFYyZmql8lk0j0luULTNCxatAhz5szB6NGjAQCrV69GWFgY1q5di+nTpzv+YYoiTRbWL6O/X6hInqBpkoRdWSVtWZKzap/ALIlHKykRty9J0s4e3FL3PuDz3cIyBm8xeV/9/YTQZoyMEOM4rk88t0n2R5bUrkmS2LUASdX4k/qq1cbQEGEZWcV7SJKopQnTdvHKvjejrzjRgC1HnEpcVo0cBruCd2ViXNLK7MXi9yufPMHu3JBMpiBbTxaHZl+cT1LxHmaxzeBVxWK0drGqkpsHsokSoEo+Uzb5g90xUzPFiQwMYY2u/r9aCpy+XrAOcHZYlht3TPjEhIioDujXKhRfP9UPkUFeOJ1VhFFLt2H7ySxXh1XvHT9+HBEREYiOjsYjjzyCU6dOAQCSk5ORlpaGoUOHVixrsVgwYMAAbNu27YbbLC0tRV5enu5FROQw5pgQEZGrxIT54ZuZ/dG1WSByi8swfsVOfLZLMl0pVYvevXtjzZo1+OGHH/DBBx8gLS0N/fr1Q1ZWVkWVY/vKxmFhYUIFZHsLFixAQEBAxSsqKqrG9oGIqD5hx4SIqA4J9bXgs2l9MKJzBMpVDS9/fRCv/fMwymVDH+imDBs2DA888AA6duyIu+66C9999x2Ay0O2rlDsh6BomtBm7+WXX0Zubm7FKyUlpfqDJ6L6rwE+MWGOCRFRHePpYcT/PdIFMY198ff4Y1j562kcTy/A4rFdEegtFiGj6uHj44OOHTvi+PHjGDlyJAAgLS0NTZpcLYCZkZEhPEWxZ7FYYJHkfChGIxTlmnH6iuTeoN1YeaVYUtROUohOLRBzIWR5IVC0ypeRjLtH59ZCU9CudP1q4lpQbxGfFhlTM4U2W6hYVFA7o+/QGRs3EpeR5JNIi/5dEvM27AsGygrwyXIhDD5i3oNirTzHR3asbbniMD/FQ1KgUFKU0v47lxUolH6XVWRfdFEWvybLTdEkn2m/ruTCWXb8ZWQ5Mva5KMZGocIytkvZ4nqy31N/sWigEqFfTksTiylqBVfzjDS1miYwUQFUkpZ23fXcFJ+YEBHVQYqi4JnBMXjvsW7wNhvxy4lMjFj8K35PY75CTSktLcWRI0fQpEkTREdHIzw8HPHx8RU/t1qtSEhIQL9+/VwYJRE1FA1xVi52TIiI6rA/dGiCr57qh6hgL5y9VITRS7fhuwOprg6rXnjxxReRkJCA5ORk7Ny5Ew8++CDy8vIwceJEKIqC2NhYzJ8/Hxs2bMChQ4cwadIkeHt7Y+zYsa4OnYgaAg7lIiKiuqZtE398O/M2PPPZXvxyIhMz1+7B/nMtMfvuNjAZeX/JWefOncOjjz6KzMxMNGrUCH369MGOHTvQvHlzAMDs2bNRXFyMGTNmIDs7G71798amTZvg5ycO9SAiqnaqJgy/rPJ6boodEyIiNxDkY8aqyT3x1qajeD/hFJZvPYV9KTlY/GhXNPav4lz/pLNu3bob/lxRFMTFxSEuLq52AiIiauDYMSEichMmowEvD2uLLpGB+J8vD2BX8iXc887PWPRwV9wWIyZ7Ut2imIxQlKv/7GqS4RbG8Ma695qnmNAsTRKWJBwrRg/JumW694aAQHE9D3G91B7iU6LGK4/bbUtMYLd5iE/0tKJi8TPLJfFLijMK25IU8zMEB4pxZEkSn+0K6WmSCQQMjcSii2qGmLyvmMVjptp9T7ICiwZJ0T/ptmRFEWWTJ9iRFjKUJafL2Ce22xdcBOQFQ6swjOhmEvVlRRfFiQzEc8fQQpyIQT0tmTEvTVIs0y5JPu+eDsIy/keuTrCg2UoB8TRxHAssEhFRXTesYxN8+3R/3Bruh8wCK8Z/tBN/33SUUwoTEdUrzuaXsGNCRES1qGUjX3wzsz8e7RUFTQPe/fEEHl6+AymXxLt9RETkhhpg8js7JkREbsrTw4gFozvh3Ue7ws9iQtKZbNzzfz/jH/vOuzo0IiK6Warm/MtNMcfEAaNGjcKWLVswePBgfPnllwCA/Px83HnnnSgrK4PNZsOzzz6LadOmuThSImpIhneOQJeoQDy7bi/2ns3Bc+v24cffMzB3RAcEeIvj1al2XcklKdfK7Noly6p2Y+Vt4hh+TROLt6l22wYAgyaua7+crBCcIrmosVnFHAf7/TFItmUrF9eTxa/ZJIUk7ZZTVEnuhWy/JXHIlqtKrQeDKsalSuKXbUs41tLvSCxaWJVt/XeDduuJQzk1TcxrkcVRpbwQWVFEyfZl2zLYHzNNcl+8qrkvEvb7JDsHIDnH5MdV3CfF7nepvEzy+3DN9q/8vyyPzCGa6txxuYlj6WqKdtNHreH46aefUFBQgNWrV1d0TGw2G0pLS+Ht7Y2ioiJ06NABiYmJCAkRE+auyMvLQ0BAAHJzc+HvLyYLEhE5o9ym4t0fT2DxTydgUzWE+3vijQc7YUBrsWJ2bWrof/POnTuHqCgx8ZaI6reUlBRERkY6vN6Vv5l3NZsBk0GsTl+ZcrUUm88udcu/uXxi4oBBgwZhy5Ytujaj0Qjv/84cUlJSApvNdvM9ZCIiJ5iMBjw/pDUGtGmEFz7fj+TMQkz8aBce7RWFl+9pC39PPj1xhYiICKSkpEDTNDRr1gwpKSlud7EAXL5YioqKYvwuwvhdx9HYNU1Dfn4+IiIibu6DG+CsXC7vmCxbtgzLli3D6dOnAQDt27fHK6+8gmHDhlXbZ2zduhVvvfUWkpKSkJqaig0bNmDkyJHCckuXLsVbb72F1NRUtG/fHosWLcLtt99e6fZzcnIwYMAAHD9+HG+99RZCQzltJxG5TrdmQdj47O144/vfsWrbaXy2KwVbjl7EgtEdMbBN48o3QNXKYDAgMjISeXl5AAB/f3+3uzC7FuN3LcbvOo7EHhAQcPMfqDo5w5Yb55i4PPk9MjISf/3rX7F7927s3r0bd955J+6//34cPnxYuvyvv/6KsjJxTODvv/+OtLQ06TqFhYXo3LkzFi9efN041q9fj9jYWMyZMwd79+7F7bffjmHDhuHs2bOV7kNgYCD279+P5ORkrF27Funp6ZWuQ0RUk7zMRsSNaI91T/RBs2BvpOaWYNLKRDy/fh+yCiTj+YmIqG7hrFy1b/jw4bjnnnvQunVrtG7dGq+//jp8fX2xY8cOYVlVVTFz5kyMHTsWtmsKFR07dgyDBg3CmjVrpJ8xbNgwzJs3D6NHj75uHAsXLsSUKVMwdepUtG3bFosWLUJUVBSWLVtW5X0JCwtDp06dsHXr1iqvQ0RUk/q0DMH3sbdjym3RMCjAhr3nMXhhAj5PTIHqxnfViIjqPQ1OdkxcHbjzXN4xuZbNZsO6detQWFiIvn37Cj83GAzYuHEj9u7diwkTJkBVVZw8eRJ33nknRowYgdmzZzv1uVarFUlJSRg6dKiufejQodi2bdsN101PT694PJ+Xl4etW7eiTZs20mWXLFmCdu3aoWfPnk7FSUTkDG+zCX+5rx2+ntEfbZv4I6eoDLO/OoCH3t+OwxdyK98AVQuLxYJXX30VFovjyax1AeN3LcbvOi6LvQE+MakTs3IdPHgQffv2RUlJCXx9fbF27Vrcc889113+7NmzuOOOO9CnTx9s374dAwcOxKpVq6Ao4tSI9hRFEXJMLly4gKZNm+LXX39Fv379Ktrnz5+P1atX4+jRowCAu+++G3v27EFhYSGCg4OxYcMGGAwGTJkyBZqmQdM0PPXUU3jqqaduGENDn6GGiFyn3KZi5a+n8fbmYyiy2mBQgHG9m+OFoa0R6G2ukc/k3zwioqqrmJUr/AmYDI7/XS5Xrdicttwt/+a6PPkdANq0aYN9+/YhJycHX331FSZOnIiEhAS0a9dOunyzZs2wZs0aDBgwAC1btsSKFSuq1CmpjP02NE3Ttf3www/S9fbt23fTn01EVBtMRgOm3dES93VugnnfHcF3B1Lx8Y4z+Hb/BTx/VwzG9WkOD2OdephORNQwqSoAJ2qSqO5bx6RO/OtjNpvRqlUr9OjRAwsWLEDnzp3xf//3f9ddPj09HU888QSGDx+OoqIiPP/88zf1+aGhoTAajULyfEZGBsLCwm5q20REdVGTAC8sGdsNa6f1RpswP+QWlyHun7/h7re34vtDaZz2nIjI1RrgUK460TGxp2kaSkvls8ZkZmZi8ODBaNu2Lb7++mv8+OOP+Pzzz/Hiiy86/Xlmsxndu3dHfHy8rj0+Pl43tIuIqL7pd0sovnv2Nswb2QEhPmacyizEk58k4YFl27DjVJarwyMiargaYMfE5UO5/vSnP2HYsGGIiopCfn4+1q1bhy1btuD7778XllVVFX/4wx/QvHlzrF+/HiaTCW3btsXmzZsxaNAgNG3aVPr0pKCgACdOnKh4n5ycjH379iE4OBjNmjUDAMyaNQvjx49Hjx490LdvXyxfvhxnz57Fk08+WXM7T0RUB5iMBjzWpznu7xKB9xJOYsUvydhzNgePLN+B22NCEXtXa3RvHuTqMImIGhbWMal96enpGD9+PNq0aYPBgwdj586d+P777zFkyBBhWYPBgAULFuCrr76C2Xw1Gahjx47YvHkzHnzwQeln7N69G127dkXXrl0BXO6EdO3aFa+88krFMg8//DAWLVqEuXPnokuXLti6dSs2btyI5s2bV/MeExHVTX6eHvifu2/F1v8ZhMf6NIPJoODn45l4YNk2PPbhTuw4lcUhXjdh6dKliI6OhqenJ7p3746ff/7Z1SFJbd26FcOHD0dERAQURcE333yj+7mmaYiLi0NERAS8vLwwcODA69Yeq20LFixAz5494efnh8aNG2PkyJEVE9hcUZfjX7ZsGTp16lRRyK9v377497//XfHzuhy7vQULFkBRFMTGxla01fX44+LioCiK7hUeHl7x89qOX9NUp1/uyuUdkxUrVuD06dMoLS1FRkYGNm/eLO2UXDFkyBB4enoK7V26dEFUVJR0nYEDB1bMmnXta9WqVbrlZsyYURFLUlIS7rjjjpvaNyIid9TY3xPzRnbETy8OxJgekTAZFPxyIhOPLN+BB9/bjnPZRa4O0e3cTBHf2lZZUeI333wTCxcuxOLFi5GYmIjw8HAMGTIE+fn5tRypKCEhATNnzsSOHTsQHx+P8vJyDB06FIWFhRXL1OX4Kys6XZdjv1ZiYiKWL1+OTp066drdIf727dsjNTW14nXw4MGKn7lD/G5Po1qXm5urAdByc3NdHQoRUaXOZhVqL399QIv500at1+vxWklZuUPr82+epvXq1Ut78skndW233nqr9tJLL7kooqoBoG3YsKHivaqqWnh4uPbXv/61oq2kpEQLCAjQ3nvvPRdEeGMZGRkaAC0hIUHTNPeLX9M0LSgoSPvwww/dJvb8/HwtJiZGi4+P1wYMGKA999xzmqa5x7F/9dVXtc6dO0t/VpvxX/mbOThwgnZ30FSHX4MDJ7jt31yXPzEhIqK6LSrYG/NHdcQvfxyEdx7pCovJ6OqQ3MrNFPGta5KTk5GWlqbbF4vFggEDBtTJfcnNvVxANDg4GIB7xW9fdNpdYp85cybuvfde3HXXXbp2d4n/+PHjiIiIQHR0NB555BGcOnUKgIviZ/I7ERGRXGN/TzT2F4fS0o1lZmbCZrMJ08+HhYUJ09TXdVfile3LmTNnXBHSdWmahlmzZuG2225Dhw4dALhH/PZFpzds2IB27dpVXPzW5djXrVuHPXv2IDExUfiZOxz73r17Y82aNWjdujXS09Mxb9489OvXD4cPH3ZN/KoKKE7ki7hxjgk7JkRERLWgsiK+7sQd9uXpp5/GgQMH8Msvvwg/q8vxX6/o9BV1NfaUlBQ899xz2LRpkzQX+Iq6Gj8ADBs2rOL/O3bsiL59++KWW27B6tWr0adPHwC1HL/m5KxcbvzEhEO5iIiIalB9KuJ7ZYaiur4vzzzzDL799lv89NNPiIyMrGh3h/ivV3S6rseelJSEjIwMdO/eHSaTCSaTCQkJCXjnnXdgMpkqYqyr8cv4+PigY8eOOH78uEuOv6aqTr/cFTsmRERENag+FfGNjo5GeHi4bl+sVisSEhLqxL5omoann366ogBzdHS07ud1PX4Z7b9Fp+t67IMHD8bBgwexb9++ilePHj0wbtw47Nu3Dy1btqzT8cuUlpbiyJEjaNKkSZ0//vUFh3IRERHVMHcq4ltZUeLY2FjMnz8fMTExiImJwfz58+Ht7Y2xY8e6MOrLZs6cibVr1+If//gH/Pz8Ku5uBwQEwMvLq6KuRl2N/0ZFp+t67H5+fhW5PFf4+PggJCSkor0uxw8AL774IoYPH45mzZohIyMD8+bNQ15eHiZOnOia498Ah3KxY0JERFTDHn74YWRlZWHu3LlITU1Fhw4d6mwR3927d2PQoEEV72fNmgUAmDhxIlatWoXZs2ejuLgYM2bMQHZ2Nnr37o1NmzbBz8/PVSFXWLZsGYDL9cuutXLlSkyaNAkA6nT8V4pOp6amIiAgAJ06ddIVna7LsVdFXY//3LlzePTRR5GZmYlGjRqhT58+2LFjR8Xvaa3Hr2qA0rA6JoqmuXH0biovLw8BAQHIzc2Fv7+/q8MhIqpR/JtHRFR1V/5m3ml+CCbFw+H1y7Uy/Gj9wi3/5vKJCRERERFRHaOpGjQnnpi48zMHJr8TERERETVgS5cuRXR0NDw9PdG9e3f8/PPPLomDHRMiIiIiorpGU51/OWD9+vWIjY3FnDlzsHfvXtx+++0YNmwYzp49W0M7dn3smBARERER1TGaqjn9csTChQsxZcoUTJ06FW3btsWiRYsQFRVVMZlEbWKOiQtcGfuXl5fn4kiIiGrelb917jzumYiotpVrpQ4//QCAcpQBEK8zLRYLLBaLrs1qtSIpKQkvvfSSrn3o0KHYtm2bw599s9gxcYH8/HwAQFRUlIsjISKqPfn5+QgICHB1GEREdZrZbEZ4eDh+Sdvo9DZ8fX2F68xXX30VcXFxurbMzEzYbDahen1YWJhQ5b42sGPiAhEREUhJScGdd96J3bt3S5fp2bMnEhMThfa8vDxERUUhJSXFLaaAu95+1MXPcHY7jq5X1eUrW+5GP+f545rPqY1zyB3PH03TkJ+fj4iIiCqvQ0TUUHl6eiI5ORlWq9XpbWiaBkVRdG32T0uuZb+sbP3awI6JCxgMBkRGRsJkMl33H3ej0XjDf/j9/f3d4sKysv2oS5/h7HYcXa+qy1e23I1+zvPHNZ9TG+eQu54/fFJCRFR1np6e8PT0rPHPCQ0NhdFoFJ6OZGRkCE9RagOT311o5syZTv3MndTGflTXZzi7HUfXq+rylS3H86fufU5tnEM8f4iIqLqYzWZ0794d8fHxuvb4+Hj069ev1uNh5Xc3wwrKdDN4/tDN4PlDRFT/rF+/HuPHj8d7772Hvn37Yvny5fjggw9w+PBhNG/evFZj4VAuN2OxWPDqq6/ecJwg0fXw/KGbwfOHiKj+efjhh5GVlYW5c+ciNTUVHTp0wMaNG2u9UwLwiQkREREREdUBzDEhIiIiIiKXY8eEiIiIiIhcjh0TIiIiIiJyOXZMiIiIiIjI5dgxISIiIiIil2PHpB7517/+hTZt2iAmJgYffvihq8MhNzNq1CgEBQXhwQcfdHUo5GZSUlIwcOBAtGvXDp06dcIXX3zh6pCIiMgNcbrgeqK8vBzt2rXDTz/9BH9/f3Tr1g07d+5EcHCwq0MjN/HTTz+hoKAAq1evxpdffunqcMiNpKamIj09HV26dEFGRga6deuGo0ePwsfHx9WhERGRG+ETk3pi165daN++PZo2bQo/Pz/cc889+OGHH1wdFrmRQYMGwc/Pz9VhkBtq0qQJunTpAgBo3LgxgoODcenSJdcGRUREbocdkzpi69atGD58OCIiIqAoCr755hthmaVLlyI6Ohqenp7o3r07fv7554qfXbhwAU2bNq14HxkZifPnz9dG6FQH3Oz5Qw1bdZ4/u3fvhqqqiIqKquGoiYiovmHHpI4oLCxE586dsXjxYunP169fj9jYWMyZMwd79+7F7bffjmHDhuHs2bMAANmIPEVRajRmqjtu9vyhhq26zp+srCxMmDABy5cvr42wiYionmGOSR2kKAo2bNiAkSNHVrT17t0b3bp1w7Jlyyra2rZti5EjR2LBggXYtm0b3nrrLWzYsAEA8Nxzz6F3794YO3ZsbYdPLubM+XPFli1bsHjxYuaYNGDOnj+lpaUYMmQIpk2bhvHjx9d22EREVA/wiYkbsFqtSEpKwtChQ3XtQ4cOxbZt2wAAvXr1wqFDh3D+/Hnk5+dj48aNuPvuu10RLtUxVTl/iK6nKuePpmmYNGkS7rzzTnZKiIjIaSZXB0CVy8zMhM1mQ1hYmK49LCwMaWlpAACTyYS///3vGDRoEFRVxezZsxESEuKKcKmOqcr5AwB333039uzZg8LCQkRGRmLDhg3o2bNnbYdLdUxVzp9ff/0V69evR6dOnSryUz7++GN07NixtsMlIiI3xo6JG7HPGdE0Tdc2YsQIjBgxorbDIjdR2fnDWdzoRm50/tx2221QVdUVYRERUT3CoVxuIDQ0FEajUXd3GwAyMjKEu5j/3969h0SV/nEc/4yZmE5Z7YoZmNOFMMmQ7hplRTdalpH+6LJ5y6VF2m5Etf9sZXSPshtB9U+5srAFgZFBJWUuSWnmBluakF1GlqGSKDOJGn32j9hD42iXn9Uxfu8XCPNczvN8z3AEP5xzEGiL6wedwfUDAPhSCCZfgZCQEI0aNUrFxcV+/cXFxUpOTrapKnwtuH7QGVw/AIAvhUe5uoimpibduXPHat+7d083btxQ3759NWDAAK1atUrp6ekaPXq0kpKSdOTIEXk8HuXk5NhYNboKrh90BtcPAKBLMOgSSkpKjKSAn8zMTGvOwYMHTWxsrAkJCTEjR440paWl9hWMLoXrB53B9QMA6Ar4PyYAAAAAbMc7JgAAAABsRzABAAAAYDuCCQAAAADbEUwAAAAA2I5gAgAAAMB2BBMAAAAAtiOYAAAAALAdwQQAAACA7QgmQBfmcrm0d+9eu8v4bI4dO6bevXvbXQYAAOgCCCaApKysLKWmplrtyZMna+XKlV9s/47+QL927Zp++umnL1YHAACAXQgmwGf06tWrTh0fGRmpsLCwT1TN/4/Xr1/bXQIAAPhIBBOgjaysLJWWlmrfvn1yOBxyOBy6f/++JKm6ulqzZ8+W0+lUVFSU0tPT1dDQYB07efJkLV26VKtWrdK3336r6dOnS5Ly8vKUkJCg8PBwxcTEaMmSJWpqapIkXbp0SYsWLdKzZ8+s/XJzcyUFPsrl8XjkdrvldDrVq1cvzZ07Vw8fPrTGc3NzlZiYqIKCArlcLkVERGj+/Pl6/vx5h+f7392ac+fOadiwYXI6nZo1a5a8Xq/febW9g5SamqqsrCyr7XK5tHnzZmVkZMjpdCo2NlanTp3S48ePrZoTEhJUWVkZUENhYaGGDh2q0NBQTZ8+XfX19X7jp0+f1qhRoxQaGqpBgwZp48aN8vl81rjD4dChQ4fkdrsVHh6uzZs3d3i+AACgayKYAG3s27dPSUlJWrx4sbxer7xer2JiYuT1epWSkqLExERVVlbq7NmzevjwoebOnet3fH5+voKDg1VWVqbDhw9LkoKCgrR//37dvHlT+fn5unjxotauXStJSk5O1t69e9WrVy9rv9WrVwfUZYxRamqqnjx5otLSUhUXF6uurk7z5s3zm1dXV6fCwkIVFRWpqKhIpaWl2r59+zvPubm5Wbt27VJBQYH+/PNPeTyedmt4nz179mjChAn666+/9N133yk9PV0ZGRlKS0tTVVWVhgwZooyMDBlj/PbesmWL8vPzVVZWpsbGRs2fP98aP3funNLS0rR8+XJVV1fr8OHDOnbsmLZs2eK394YNG+R2u/X3338rOzv7o2sHAAA2MwBMZmamcbvdVjslJcWsWLHCb866devMjBkz/Prq6+uNJFNbW2sdl5iY+N79Tpw4Yb755hurffToURMREREwLzY21uzZs8cYY8z58+dNt27djMfjscZv3bplJJmKigpjjDEbNmwwYWFhprGx0ZqzZs0aM27cuA5rOXr0qJFk7ty5Y/UdPHjQREVFWe32vg+3220yMzP9ak1LS7PaXq/XSDLr1q2z+q5cuWIkGa/X67f31atXrTk1NTVGkikvLzfGGDNx4kSzdetWv70LCgpMdHS01ZZkVq5c2eE5AgCAri/YvkgEfF2uX7+ukpISOZ3OgLG6ujoNHTpUkjR69OiA8ZKSEm3dulXV1dVqbGyUz+fTy5cv9eLFC4WHh3/Q/jU1NYqJiVFMTIzVFx8fr969e6umpkZjxoyR9OaRqp49e1pzoqOj9ejRo3euHRYWpsGDB3/UMe0ZMWKE9TkqKkqSlJCQEND36NEj9evXT5IUHBzs953FxcVZ5zR27Fhdv35d165d87tD0tLSopcvX6q5udl6B6e97x0AAHw9CCbAB2ptbdX333+vHTt2BIxFR0dbn9sGjQcPHmj27NnKycnRpk2b1LdvX12+fFk//vjjR72kbYyRw+F4b3/37t39xh0Oh1pbW9+5dnvHmLcetwoKCvJrS+2/YP72Ov/V1F5f23raO6+3527cuFFz5swJmBMaGmp9/tCABwAAuiaCCdCOkJAQtbS0+PWNHDlSJ0+elMvlUnDwh//qVFZWyufzaffu3QoKevNa14kTJ967X1vx8fHyeDyqr6+37ppUV1fr2bNnGjZs2AfX87+IjIz0exm+paVFN2/e1JQpUzq9ts/nU2VlpcaOHStJqq2t1dOnTxUXFyfpzfdeW1urIUOGdHovAADQdfHyO9AOl8ul8vJy3b9/Xw0NDWptbdXPP/+sJ0+eaMGCBaqoqNDdu3d1/vx5ZWdnvzNUDB48WD6fTwcOHNDdu3dVUFCgQ4cOBezX1NSkCxcuqKGhQc3NzQHrTJs2TSNGjNDChQtVVVWliooKZWRkKCUl5bM/xjR16lSdOXNGZ86c0e3bt7VkyRI9ffr0k6zdvXt3LVu2TOXl5aqqqtKiRYs0fvx4K6isX79ev/32m3Jzc3Xr1i3V1NTo+PHj+vXXXztcs6KiQnFxcfrnn38+SY0AAODzI5gA7Vi9erW6deum+Ph4RUZGyuPxqH///iorK1NLS4tmzpyp4cOHa8WKFYqIiLDuhLQnMTFReXl52rFjh4YPH67ff/9d27Zt85uTnJysnJwczZs3T5GRkdq5c2fAOg6HQ4WFherTp48mTZqkadOmadCgQTp+/PgnP/+2srOzlZmZaQWhgQMHfpK7JdKb91t++eUX/fDDD0pKSlKPHj30xx9/WOMzZ85UUVGRiouLNWbMGI0fP155eXmKjY3tcM3m5mbV1tby/0wAAPiKOEzbB8cBAAAA4AvjjgkAAAAA2xFMAAAAANiOYAIAAADAdgQTAAAAALYjmAAAAACwHcEEAAAAgO0IJgAAAABsRzABAAAAYDuCCQAAAADbEUwAAAAA2I5gAgAAAMB2BBMAAAAAtvsXK7mA4Xbv7/QAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimizer = FISTA(model, data_array, maxiter = 100)\n", "coefficients, convergence_curve = optimizer.optimize()\n", "\n", "fig = plt.figure(figsize = (9,4))\n", "plt.subplot(1,2,1)\n", "plt.loglog(convergence_curve)\n", "plt.xlabel('Iteration number.')\n", "plt.ylabel('Cost function value')\n", "\n", "plt.subplot(1,2,2)\n", "plt.imshow(np.sum(coefficients, axis = -1))\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "b4b1a974-7a50-4aaa-acfa-b66a5ca782bf", "metadata": {}, "outputs": [ { "data": { "image/png": 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wNG7cOK1YsULr169Xq1atfvczP/zwgw4ePKiYmBhJUocOHRQQEKDMzEyzTV5ennbv3q1OnTrVWe0AAODcYOlprLFjx+q1117Tu+++q9DQUHOOTXh4uIKCglRcXKyZM2fqlltuUUxMjHJzczV9+nRFRkZq4MCBZtvRo0dr0qRJioiIULNmzTR58mS1b9/evDoLAAD4LkvDzsKFCyVJ3bp181i/ePFijRw5Un5+fsrOztYrr7yin376STExMerevbuWL1+u0NBQs/38+fPl7++vIUOGqKysTD179lR6err8/Pzq83AAAEADZGnYMQzjN7cHBQXpgw8++N39NG7cWE8//bSefvppb5UGGwoODjZvW8DjIgDAdzSYq7GAuuZwONS8eXOrywAA1LMGcTUWAABAXSHswGe43W6NHTtWY8eONW9KCQCwP8IOfMaJEyf03HPP6bnnnuNxEQDgQwg7AADA1gg7AADA1gg7AADA1gg7AADA1gg7AADA1gg7AADA1riDMnxGUFCQcnJyzGUAgG8g7MBnNGrUSAkJCVaXAQCoZ5zGAgAAtkbYgc8oLy/X/fffr/vvv1/l5eVWlwMAqCeEHfiMiooKPf7443r88cdVUVFhdTkAgHpC2AEAALZG2AEAALZG2AEAALZG2AEAALZG2AEAALZG2AEAALbGHZThM4KCgrR7925zGQDgGwg78BmNGjVSu3btrC4DAFDPOI0FAABsjZEd+Izy8nLNnj1bkjR9+nQFBgZaXBEAoD7UamQnJyfH23UAda6iokKzZs3SrFmzeFwEAPiQWoWd1q1bq3v37lq2bJmOHz/u7ZoAAAC8plZh57PPPtPll1+uSZMmyeVy6d5779Wnn37q7doAAADOWq3CTlJSkubNm6fvvvtOixcvVn5+vjp37qx27dpp3rx5+v77771dJwAAQK2c1dVY/v7+GjhwoN544w39/e9/17fffqvJkyerRYsWGj58uPLy8rxVJwAAQK2cVdjZvn27xowZo5iYGM2bN0+TJ0/Wt99+q/Xr1+u7777TTTfd5K06AQAAaqVWl57PmzdPixcv1tdff61+/frplVdeUb9+/dSo0c/ZqVWrVnrhhRd00UUXebVYAACAM1WrsLNw4UKNGjVKd911l1wu1ynbtGzZUosWLTqr4gBvaty4sTmRvnHjxhZXAwCoL7UKO3v37v3dNoGBgRoxYkRtdg/UCT8/P1155ZVWlwEAqGe1mrOzePFivfnmm9XWv/nmm1qyZMlZFwUAAOAttQo7c+bMUWRkZLX1UVFR5u34gYamvLxcc+fO1dy5c1VeXm51OQCAelKr01j79+9Xq1atqq2Pj4/XgQMHzroooC5UVFRoypQpkqQxY8bwbCwA8BG1GtmJiorS559/Xm39Z599poiIiLMuCgAAwFtqFXaGDRumv/zlL9qwYYMqKytVWVmp9evXa8KECRo2bJi3awQAAKi1WoWdRx55RFdffbV69uypoKAgBQUFqU+fPurRo8cZzdlJS0vTlVdeqdDQUEVFRenmm2/W119/7dHGMAzNnDlTsbGxCgoKUrdu3bRnzx6PNm63W+PHj1dkZKRCQkI0YMAAHTp0qDaHBgAAbKZWYScwMFDLly/XV199pVdffVUrVqzQt99+q5dffvmM5kFs2rRJY8eO1datW5WZmakTJ06oT58+KikpMds89thjmjdvnp555hlt27ZNLpdLvXv31rFjx8w2qampWrlypTIyMrR582YVFxerf//+qqysrM3hAQAAG3EYhmFYXcRJ33//vaKiorRp0yZ16dJFhmEoNjZWqampeuCBByT9PIoTHR2tv//977r33ntVWFio5s2ba+nSpRo6dKgk6fDhw4qLi9Pq1at1/fXXV/set9stt9ttvi8qKlJcXJwKCwsVFhbm1WNKmLrKq/urL7lzUqwuwetKSkrUpEkTSVJxcbFCQkIsrgi/dK7+rNQVO/4MAt5WVFSk8PDw3/37XaursSorK5Wenq5//etfKigoUFVVlcf29evX12a3KiwslCQ1a9ZMkpSTk6P8/Hz16dPHbON0OtW1a1dt2bJF9957r7KyslRRUeHRJjY2VklJSdqyZcspw05aWppmzZpVqxoBAMC5pVZhZ8KECUpPT1dKSoqSkpLkcDjOuhDDMDRx4kR17txZSUlJkqT8/HxJUnR0tEfb6Oho7d+/32wTGBiopk2bVmtz8vO/Nm3aNE2cONF8f3JkB/bWuHFjbdiwwVwGAPiGWoWdjIwMvfHGG+rXr5/XChk3bpw+//xzbd68udq2X4cpwzB+N2D9Vhun0ymn01n7YnFO8vPzU7du3awuAwBQz2o9Qbl169ZeK2L8+PF67733tGHDBrVo0cJcf/Iho78eoSkoKDBHe1wul8rLy3X06NHTtgEAAL6rVmFn0qRJevLJJ3W2c5sNw9C4ceO0YsUKrV+/vtpdmVu1aiWXy6XMzExzXXl5uTZt2qROnTpJkjp06KCAgACPNnl5edq9e7fZBpB+voPys88+q2effVYVFRVWlwMAqCe1Oo21efNmbdiwQWvWrFG7du0UEBDgsX3FihU12s/YsWP12muv6d1331VoaKg5ghMeHq6goCA5HA6lpqZq9uzZSkxMVGJiombPnq3g4GDddtttZtvRo0dr0qRJioiIULNmzTR58mS1b99evXr1qs3hwabKy8s1btw4SdLIkSOr/bsFANhTrcLOeeedp4EDB571ly9cuFCSqs2jWLx4sUaOHClJmjJlisrKyjRmzBgdPXpUV199tT788EOFhoaa7efPny9/f38NGTJEZWVl6tmzp9LT0+Xn53fWNQIAgHNbg7rPjlVqep1+bZyr9w6x4z0+uM9Ow3au/qzUFTv+DALeVtO/37WasyNJJ06c0Lp16/TCCy+YdzM+fPiwiouLa7tLAAAAr6vVaaz9+/frhhtu0IEDB+R2u9W7d2+Fhobqscce0/Hjx/X88897u04AAIBaqfVNBZOTk/XZZ58pIiLCXD9w4EDdfffdXisOQMPD6SYA55paX4318ccfV3voZ3x8vL777juvFAYAAOANtQo7VVVVp3yi+KFDhzyukgIaEqfTqffff99cBgD4hlpNUO7du7cWLFhgvnc4HCouLtbDDz/s1UdIAN7k7++vlJQUpaSkyN+/VjkfAHAOqtVv/Pnz56t79+5q27atjh8/rttuu0179+5VZGSkXn/9dW/XCAAAUGu1CjuxsbHatWuXXn/9de3YsUNVVVUaPXq0br/9dgUFBXm7RsArKioq9Oqrr0qSbr/9du6gDAA+otZj+UFBQRo1apRGjRrlzXqAOlNeXq677rpLkjR48GDCDgD4iFqFnVdeeeU3tw8fPrxWxQAAAHhbre+z80sVFRUqLS1VYGCggoODCTsAAKDBqNXVWEePHvV4FRcX6+uvv1bnzp2ZoAwAABqUWj8b69cSExM1Z86caqM+AAAAVvJa2JEkPz8/HT582Ju7BAAAOCu1mrPz3nvvebw3DEN5eXl65plndO2113qlMAAAAG+oVdi5+eabPd47HA41b95cPXr00BNPPOGNugCvczqdeuONN8xlAIBvqPWzsYBzjb+/vwYPHmx1GQCAeubVOTsAAAANTa1GdiZOnFjjtvPmzavNVwBed+LECa1cuVKSNHDgQB4GCgA+ola/7Xfu3KkdO3boxIkTuvDCCyVJ33zzjfz8/HTFFVeY7RwOh3eqBLzA7XZryJAhkqTi4mLCDgD4iFr9tr/xxhsVGhqqJUuWqGnTppJ+vtHgXXfdpeuuu06TJk3yapEAAAC1Vas5O0888YTS0tLMoCNJTZs21SOPPMLVWAAAoEGpVdgpKirSf//732rrCwoKdOzYsbMuCgAAwFtqFXYGDhyou+66S2+99ZYOHTqkQ4cO6a233tLo0aM1aNAgb9cIAABQa7Was/P8889r8uTJuuOOO1RRUfHzjvz9NXr0aM2dO9erBQIAAJyNWoWd4OBgPffcc5o7d66+/fZbGYah1q1bKyQkxNv1AQAAnJWzuvY2Ly9PeXl56tKli4KCgmQYBpebo8EKDAzU4sWLzWUAgG+oVdj54YcfNGTIEG3YsEEOh0N79+7VBRdcoLvvvlvnnXceV2ShQQoICNDIkSOtLgMAUM9qNUH5r3/9qwICAnTgwAEFBweb64cOHaq1a9d6rTgAAICzVauRnQ8//FAffPCBWrRo4bE+MTFR+/fv90phgLedOHFCH3zwgSTp+uuv5w7KAOAjavXbvqSkxGNE56QjR47I6XSedVFAXXC73erfv78kHhcBAL6kVqexunTpoldeecV873A4VFVVpblz56p79+5eKw4AAOBs1eq/tnPnzlW3bt20fft2lZeXa8qUKdqzZ49+/PFHffzxx96uEQAAoNZqNbLTtm1bff7557rqqqvUu3dvlZSUaNCgQdq5c6f+8Ic/eLtGAACAWjvjkZ2Kigr16dNHL7zwgmbNmlUXNQEAAHjNGY/sBAQEaPfu3dw8EAAAnBNqdRpr+PDhWrRokbdrAQAA8LpaTVAuLy/XP/7xD2VmZio5ObnaM7HmzZvnleIAbwoMDNQzzzxjLgMAfMMZhZ3//Oc/SkhI0O7du3XFFVdIkr755huPNpzeQkMVEBCgsWPHWl0GAKCendFprMTERB05ckQbNmzQhg0bFBUVpYyMDPP9hg0btH79+hrv76OPPtKNN96o2NhYORwOvfPOOx7bR44cKYfD4fG65pprPNq43W6NHz9ekZGRCgkJ0YABA3To0KEzOSwAAGBjZzSyYxiGx/s1a9aopKSk1l9eUlKiSy+9VHfddZduueWWU7a54YYbzCdVS9VPP6Smpuqf//ynMjIyFBERoUmTJql///7KysqSn59frWuD/VRWVurf//63JOm6666z9b+PhKmrrC4BABqMs7pf/q/Dz5nq27ev+vbt+5ttnE6nXC7XKbcVFhZq0aJFWrp0qXr16iVJWrZsmeLi4rRu3Tpdf/31p/yc2+2W2+023xcVFdXyCHAuOX78uHmH7+Li4mpzzQAA9nRGp7FOnkr69bq6tHHjRkVFRalNmza65557VFBQYG7Lysoy7/tzUmxsrJKSkrRly5bT7jMtLU3h4eHmKy4urk6PAQAAWOeMT2ONHDnSfNjn8ePHdd9991X7H/KKFSu8Ulzfvn01ePBgxcfHKycnRw899JB69OihrKwsOZ1O5efnKzAwUE2bNvX4XHR0tPLz80+732nTpmnixInm+6KiIgIPAAA2dUZhZ8SIER7v77jjDq8W82tDhw41l5OSkpScnKz4+HitWrVKgwYNOu3nDMP4zREnp9PJ09kBAPARZxR2fjlR2AoxMTGKj4/X3r17JUkul0vl5eU6evSox+hOQUGBOnXqZFWZAACgAanVHZSt8sMPP+jgwYOKiYmRJHXo0EEBAQHKzMw02+Tl5Wn37t2EHQAAIOksr8Y6W8XFxdq3b5/5PicnR7t27VKzZs3UrFkzzZw5U7fccotiYmKUm5ur6dOnKzIyUgMHDpQkhYeHa/To0Zo0aZIiIiLUrFkzTZ48We3btzevzgIAAL7N0rCzfft281JgSeak4REjRmjhwoXKzs7WK6+8op9++kkxMTHq3r27li9frtDQUPMz8+fPl7+/v4YMGaKysjL17NlT6enptr6HCmonICBAjz32mLkMAPANDuNsb5ZjA0VFRQoPD1dhYaHCwsK8uu9z9eZuuXNSrC4BZ+Fc/XeH/+FnEPh9Nf37fU7N2QEAADhTlp7GAupTZWWlduzYIUm64oorONUJAD6CsAOfcfz4cV111VWSeFwEAPgSTmMBAABbI+wAAABbI+wAAABbI+wAAABbI+wAAABbI+wAAABb49Jz+IyAgAA9/PDD5jIAwDcQduAzAgMDNXPmTKvLAADUM05jAQAAW2NkBz6jqqpKX375pSTp4osvVqNGZH0A8AWEHfiMsrIyJSUlSeJxEQDgS/ivLQAAsDXCDgAAsDXCDgAAsDXCDgAAsDXCDgAAsDXCDgAAsDUuPYfPCAgI0OTJk81lAIBvIOzAZwQGBmru3LlWlwEAqGeEHZxSwtRVdbLf3DkpdbJfAABOh7ADn1FVVaUDBw5Iklq2bMnjIgDARxB24DPKysrUqlUrSTwuAgB8CWEHABqgujqVLHE6Gb6HcXwAAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrXI0Fn+Hv768xY8aYywAA38BvfPgMp9OpZ5991uoyAAD1jNNYAADA1hjZgc8wDENHjhyRJEVGRsrhcFhcEQCgPhB24DNKS0sVFRUlicdFAIAv4TQWAACwNcIOAACwNUvDzkcffaQbb7xRsbGxcjgceueddzy2G4ahmTNnKjY2VkFBQerWrZv27Nnj0cbtdmv8+PGKjIxUSEiIBgwYoEOHDtXjUQAAgIbM0rBTUlKiSy+9VM8888wptz/22GOaN2+ennnmGW3btk0ul0u9e/fWsWPHzDapqalauXKlMjIytHnzZhUXF6t///6qrKysr8MAAAANmKUTlPv27au+ffuecpthGFqwYIFmzJihQYMGSZKWLFmi6Ohovfbaa7r33ntVWFioRYsWaenSperVq5ckadmyZYqLi9O6det0/fXX19uxAACAhqnBztnJyclRfn6++vTpY65zOp3q2rWrtmzZIknKyspSRUWFR5vY2FglJSWZbU7F7XarqKjI4wUAAOypwV56np+fL0mKjo72WB8dHa39+/ebbQIDA9W0adNqbU5+/lTS0tI0a9YsL1eMhs7f318jRowwlwEAvqHB/8b/9Y3fDMP43ZvB/V6badOmaeLEieb7oqIixcXFnV2haPCcTqfS09OtLgMAUM8a7Gksl8slSdVGaAoKCszRHpfLpfLych09evS0bU7F6XQqLCzM4wUAAOypwYadVq1ayeVyKTMz01xXXl6uTZs2qVOnTpKkDh06KCAgwKNNXl6edu/ebbYBTjIMQyUlJSopKZFhGFaXAwCoJ5aexiouLta+ffvM9zk5Odq1a5eaNWumli1bKjU1VbNnz1ZiYqISExM1e/ZsBQcH67bbbpMkhYeHa/To0Zo0aZIiIiLUrFkzTZ48We3btzevzgJOKi0tVZMmTSTxuAgA8CWWhp3t27ere/fu5vuT82hGjBih9PR0TZkyRWVlZRozZoyOHj2qq6++Wh9++KFCQ0PNz8yfP1/+/v4aMmSIysrK1LNnT6Wnp8vPz6/ejwcAADQ8DoPxfBUVFSk8PFyFhYVen7+TMHWVV/d3rsudk2LZd5eUlDS4kR3+fcAKVv4cAt5U07/fDXbODgAAgDcQdgAAgK0RdgAAgK0RdgAAgK01+DsoA97i5+enP/7xj+YyAMA3EHbgMxo3bqw333zT6jIAAPWM01gAAMDWCDsAAMDWCDvwGSUlJXI4HHI4HCopKbG6HABAPSHsAAAAWyPsAAAAWyPsAAAAWyPsAAAAWyPsAAAAW+OmgqhXCVNX1dm+c+ek1Nm+AQDnLsIOfIafn5/69etnLgMAfANhBz6jcePGWrWq7kaWAAANE3N2AACArRF2AACArRF24DNKSkoUEhKikJAQHhcBAD6EOTvwKaWlpVaXAACoZ4zsAAAAWyPsAAAAWyPsAAAAWyPsAAAAWyPsAAAAW+NqLPiMRo0aqWvXruYyAMA3EHbgM4KCgrRx40arywAA1DP+ewsAAGyNsAMAAGyNsAOfUVJSoubNm6t58+Y8LgIAfAhzduBTjhw5YnUJgOUSpq6qk/3mzkmpk/0CZ4uRHQAAYGuEHQAAYGuEHQAAYGuEHQAAYGuEHQAAYGtcjQWf0ahRIyUnJ5vLAADfQNiBzwgKCtK2bdusLgMAUM8adNiZOXOmZs2a5bEuOjpa+fn5kiTDMDRr1iy9+OKLOnr0qK6++mo9++yzateunRXlwqbq6p4kAID60eDH8tu1a6e8vDzzlZ2dbW577LHHNG/ePD3zzDPatm2bXC6XevfurWPHjllYMQAAaEgafNjx9/eXy+UyX82bN5f086jOggULNGPGDA0aNEhJSUlasmSJSktL9dprr1lcNRqi0tJSJSQkKCEhQaWlpVaXAwCoJw0+7Ozdu1exsbFq1aqVhg0bpv/85z+SpJycHOXn56tPnz5mW6fTqa5du2rLli2/uU+3262ioiKPF+zPMAzt379f+/fvl2EYVpcDAKgnDTrsXH311XrllVf0wQcf6KWXXlJ+fr46deqkH374wZy3Ex0d7fGZX87pOZ20tDSFh4ebr7i4uDo7BgAAYK0GHXb69u2rW265Re3bt1evXr20atXPE0WXLFlitnE4HB6fMQyj2rpfmzZtmgoLC83XwYMHvV88AABoEBp02Pm1kJAQtW/fXnv37pXL5ZKkaqM4BQUF1UZ7fs3pdCosLMzjBQAA7OmcCjtut1tffvmlYmJi1KpVK7lcLmVmZprby8vLtWnTJnXq1MnCKgEAQEPSoO+zM3nyZN14441q2bKlCgoK9Mgjj6ioqEgjRoyQw+FQamqqZs+ercTERCUmJmr27NkKDg7WbbfdZnXpAACggWjQYefQoUO69dZbdeTIETVv3lzXXHONtm7dqvj4eEnSlClTVFZWpjFjxpg3Ffzwww8VGhpqceVoiBwOh9q2bWsuAwB8g8PgGlwVFRUpPDxchYWFXp+/w913AfiK3DkpVpcAH1PTv9/n1JwdAACAM0XYAQAAtkbYgc+oqjiuw/8Yo8P/GKOqiuNWlwMAqCcNeoIy4FWGVPHDAXMZAOAbGNkBAAC2RtgBAAC2RtgBAAC2RtgBAAC2RtgBAAC2xtVY8B0OyS8sylwGAPgGwg58RqOAxmrx55etLgMAUM84jQUAAGyNsAMAAGyN01jwGVUVbv33tamSpOjb5qhRgNPiigB7SZi6qs72zRPVcTYIO/AdhqHy/L3mMgDAN3AaCwAA2BphBwAA2BphBwAA2BpzdgAADV5dTX5m4rNvYGQHAADYGiM78CmNgsKsLgEAUM8IO/AZjQIbK+4vr1ldBgCgnnEaCwAA2BphBwAA2BphBz6jqsKt/NemKv+1qaqqcFtdDgCgnjBnB77DMOQ+uNtcBgD4BkZ2AACArRF2AACArRF2AACArRF2AACArRF2AACArXE1FnyKI8BpdQkAgHpG2IHPaBTYWC0nvm11GQCAesZpLAAAYGuEHQAAYGucxoLPME6U6/uVsyVJzQdOl8M/0OKKAFgtYeqqOtt37pyUOts3zgxhBz7DqKpS2X+2m8sOi+sBANQPTmMBAABbY2QHAABIqrvTelaf0rNN2Hnuuec0d+5c5eXlqV27dlqwYIGuu+46q8sCAMCr6nKekV3Z4jTW8uXLlZqaqhkzZmjnzp267rrr1LdvXx04cMDq0gAAgMVsEXbmzZun0aNH6+6779bFF1+sBQsWKC4uTgsXLrS6NAAAYLFz/jRWeXm5srKyNHXqVI/1ffr00ZYtW075GbfbLbfbbb4vLCyUJBUVFXm9vip3qdf3idqpKj/+v2V3qWRUWVgNALtr+dc3rS6hwaiLv6+/3K9hGL/Z7pwPO0eOHFFlZaWio6M91kdHRys/P/+Un0lLS9OsWbOqrY+Li6uTGtHwfPfccKtLAACfEb6gbvd/7NgxhYeHn3b7OR92TnI4PO+aYhhGtXUnTZs2TRMnTjTfV1VV6ccff1RERMRpP1MbRUVFiouL08GDBxUWFua1/doRfVVz9FXN0E81R1/VDP1Uc/XVV4Zh6NixY4qNjf3Ndud82ImMjJSfn1+1UZyCgoJqoz0nOZ1OOZ2eT78+77zz6qpEhYWF8YNRQ/RVzdFXNUM/1Rx9VTP0U83VR1/91ojOSef8BOXAwEB16NBBmZmZHuszMzPVqVMni6oCAAANxTk/siNJEydO1J133qnk5GR17NhRL774og4cOKD77rvP6tIAAIDFbBF2hg4dqh9++EF/+9vflJeXp6SkJK1evVrx8fGW1uV0OvXwww9XO2WG6uirmqOvaoZ+qjn6qmbop5praH3lMH7vei0AAIBz2Dk/ZwcAAOC3EHYAAICtEXYAAICtEXYAAICtEXbq0HPPPadWrVqpcePG6tChg/79739bXZKl0tLSdOWVVyo0NFRRUVG6+eab9fXXX3u0MQxDM2fOVGxsrIKCgtStWzft2bPHooobhrS0NDkcDqWmpprr6Kf/+e6773THHXcoIiJCwcHBuuyyy5SVlWVup69+duLECT344INq1aqVgoKCdMEFF+hvf/ubqqr+94w4X+2rjz76SDfeeKNiY2PlcDj0zjvveGyvSb+43W6NHz9ekZGRCgkJ0YABA3To0KF6PIq691v9VFFRoQceeEDt27dXSEiIYmNjNXz4cB0+fNhjH5b1k4E6kZGRYQQEBBgvvfSS8cUXXxgTJkwwQkJCjP3791tdmmWuv/56Y/Hixcbu3buNXbt2GSkpKUbLli2N4uJis82cOXOM0NBQ4+233zays7ONoUOHGjExMUZRUZGFlVvn008/NRISEoxLLrnEmDBhgrmefvrZjz/+aMTHxxsjR440PvnkEyMnJ8dYt26dsW/fPrMNffWzRx55xIiIiDDef/99Iycnx3jzzTeNJk2aGAsWLDDb+GpfrV692pgxY4bx9ttvG5KMlStXemyvSb/cd999xvnnn29kZmYaO3bsMLp3725ceumlxokTJ+r5aOrOb/XTTz/9ZPTq1ctYvny58dVXXxn/7//9P+Pqq682OnTo4LEPq/qJsFNHrrrqKuO+++7zWHfRRRcZU6dOtaiihqegoMCQZGzatMkwDMOoqqoyXC6XMWfOHLPN8ePHjfDwcOP555+3qkzLHDt2zEhMTDQyMzONrl27mmGHfvqfBx54wOjcufNpt9NX/5OSkmKMGjXKY92gQYOMO+64wzAM+uqkX/8Rr0m//PTTT0ZAQICRkZFhtvnuu++MRo0aGWvXrq232uvTqULhr3366aeGJPM/+Vb2E6ex6kB5ebmysrLUp08fj/V9+vTRli1bLKqq4SksLJQkNWvWTJKUk5Oj/Px8j35zOp3q2rWrT/bb2LFjlZKSol69enmsp5/+57333lNycrIGDx6sqKgoXX755XrppZfM7fTV/3Tu3Fn/+te/9M0330iSPvvsM23evFn9+vWTRF+dTk36JSsrSxUVFR5tYmNjlZSU5NN9V1hYKIfDYT570sp+ssUdlBuaI0eOqLKystqDSKOjo6s9sNRXGYahiRMnqnPnzkpKSpIks29O1W/79++v9xqtlJGRoR07dmjbtm3VttFP//Of//xHCxcu1MSJEzV9+nR9+umn+stf/iKn06nhw4fTV7/wwAMPqLCwUBdddJH8/PxUWVmpRx99VLfeeqsk/l2dTk36JT8/X4GBgWratGm1Nr76O//48eOaOnWqbrvtNvNBoFb2E2GnDjkcDo/3hmFUW+erxo0bp88//1ybN2+uts3X++3gwYOaMGGCPvzwQzVu3Pi07Xy9nySpqqpKycnJmj17tiTp8ssv1549e7Rw4UINHz7cbEdfScuXL9eyZcv02muvqV27dtq1a5dSU1MVGxurESNGmO3oq1OrTb/4at9VVFRo2LBhqqqq0nPPPfe77eujnziNVQciIyPl5+dXLakWFBRU+9+BLxo/frzee+89bdiwQS1atDDXu1wuSfL5fsvKylJBQYE6dOggf39/+fv7a9OmTXrqqafk7+9v9oWv95MkxcTEqG3bth7rLr74Yh04cEAS/6Z+6f7779fUqVM1bNgwtW/fXnfeeaf++te/Ki0tTRJ9dTo16ReXy6Xy8nIdPXr0tG18RUVFhYYMGaKcnBxlZmaaozqStf1E2KkDgYGB6tChgzIzMz3WZ2ZmqlOnThZVZT3DMDRu3DitWLFC69evV6tWrTy2t2rVSi6Xy6PfysvLtWnTJp/qt549eyo7O1u7du0yX8nJybr99tu1a9cuXXDBBfTT/+/aa6+tdvuCb775xnwIMP+m/qe0tFSNGnn+yvfz8zMvPaevTq0m/dKhQwcFBAR4tMnLy9Pu3bt9qu9OBp29e/dq3bp1ioiI8NhuaT/V6fRnH3by0vNFixYZX3zxhZGammqEhIQYubm5VpdmmT//+c9GeHi4sXHjRiMvL898lZaWmm3mzJljhIeHGytWrDCys7ONW2+91Scuff09v7wayzDop5M+/fRTw9/f33j00UeNvXv3Gq+++qoRHBxsLFu2zGxDX/1sxIgRxvnnn29eer5ixQojMjLSmDJlitnGV/vq2LFjxs6dO42dO3cakox58+YZO3fuNK8iqkm/3HfffUaLFi2MdevWGTt27DB69Ohhu0vPf6ufKioqjAEDBhgtWrQwdu3a5fE73u12m/uwqp8IO3Xo2WefNeLj443AwEDjiiuuMC+x9lWSTvlavHix2aaqqsp4+OGHDZfLZTidTqNLly5Gdna2dUU3EL8OO/TT//zzn/80kpKSDKfTaVx00UXGiy++6LGdvvpZUVGRMWHCBKNly5ZG48aNjQsuuMCYMWOGxx8iX+2rDRs2nPJ304gRIwzDqFm/lJWVGePGjTOaNWtmBAUFGf379zcOHDhgwdHUnd/qp5ycnNP+jt+wYYO5D6v6yWEYhlG3Y0cAAADWYc4OAACwNcIOAACwNcIOAACwNcIOAACwNcIOAACwNcIOAACwNcIOAACwNcIOAACwNcIOgHoxcuRI3XzzzXWy7/LycrVu3Voff/zxWe+rW7duSk1NPfuivOBs+6ygoEDNmzfXd999572igHMQYQewsZEjR8rhcMjhcCggIEDR0dHq3bu3Xn75ZfMBkPXlySefVHp6uvnem6HixRdfVHx8vK699lqv7K+hONs+i4qK0p133qmHH37Y+8UB5xDCDmBzN9xwg/Ly8pSbm6s1a9aoe/fumjBhgvr3768TJ07UWx3h4eE677zz6mTfTz/9tO6+++6z2kdFRYWXqvEeb/TZXXfdpVdffVVHjx71TlHAOYiwA9ic0+mUy+XS+eefryuuuELTp0/Xu+++qzVr1niMGhQWFupPf/qToqKiFBYWph49euizzz4zt8+cOVOXXXaZli5dqoSEBIWHh2vYsGE6duyY2eatt95S+/btFRQUpIiICPXq1UslJSWSPE/JjBw5Ups2bdKTTz5pjjzl5OSodevWevzxxz3q3717txo1aqRvv/32lMe3Y8cO7du3TykpKR7rH3jgAbVp00bBwcG64IIL9NBDD3kEmpPH8/LLL+uCCy6Q0+nUyUcFnjhxQuPGjdN5552niIgIPfjggzqTxwhu3LhRDodDP/30k7lu165dcjgcys3NlSSlp6frvPPO0wcffKCLL75YTZo0MYPpSb/XZ7m5uTp69Khuv/12NW/eXEFBQUpMTNTixYvNfbRv314ul0srV66scf2A3RB2AB/Uo0cPXXrppVqxYoUkyTAMpaSkKD8/X6tXr1ZWVpauuOIK9ezZUz/++KP5uW+//VbvvPOO3n//fb3//vvatGmT5syZI0nKy8vTrbfeqlGjRunLL7/Uxo0bNWjQoFOGhCeffFIdO3bUPffco7y8POXl5ally5YaNWqUxx9qSXr55Zd13XXX6Q9/+MMpj+Wjjz5SmzZtFBYW5rE+NDRU6enp+uKLL/Tkk0/qpZde0vz58z3a7Nu3T2+88Ybefvtt7dq1y1y/ZMkS+fv765NPPtFTTz2l+fPn6x//+EfNO7iGSktL9fjjj2vp0qX66KOPdODAAU2ePPmUbU/VZ3FxcXrooYf0xRdfaM2aNfryyy+1cOFCRUZGenz2qquu0r///W+v1w+cK/ytLgCANS666CJ9/vnnkqQNGzYoOztbBQUFcjqdkqTHH39c77zzjt566y396U9/kiRVVVUpPT1doaGhkqQ777xT//rXv/Too48qLy9PJ06c0KBBgxQfHy/p51GFUwkPD1dgYKCCg4PlcrnM9XfddZf+7//+T59++qmuuuoqVVRUaNmyZZo7d+5pjyM3N1exsbHV1j/44IPmckJCgiZNmqTly5drypQp5vry8nItXbpUzZs39/hsXFyc5s+fL4fDoQsvvFDZ2dmaP3++7rnnntN3aC1UVFTo+eefN4PcuHHj9Le//e2UbU/XZwcOHNDll1+u5ORk81h/7fzzz9fOnTu9WjtwLmFkB/BRhmHI4XBIkrKyslRcXKyIiAg1adLEfOXk5HicPkpISDCDjiTFxMSooKBAknTppZeqZ8+eat++vQYPHqyXXnrpjOeJxMTEKCUlRS+//LIk6f3339fx48c1ePDg036mrKxMjRs3rrb+rbfeUufOneVyudSkSRM99NBDOnDggEeb+Pj4akFHkq655hqzbySpY8eO2rt3ryorK8/oeH5PcHCwx4jVL/uzpv785z8rIyNDl112maZMmaItW7ZUaxMUFKTS0tKzrhc4VxF2AB/15ZdfqlWrVpJ+HrGJiYnRrl27PF5ff/217r//fvMzAQEBHvtwOBzmVV1+fn7KzMzUmjVr1LZtWz399NO68MILlZOTc0Z13X333crIyFBZWZkWL16soUOHKjg4+LTtIyMjq4WqrVu3atiwYerbt6/ef/997dy5UzNmzFB5eblHu5CQkDOqraYaNfr5V+svT+GdagL0qfrzTOYGSVLfvn21f/9+paam6vDhw+rZs2e1U2E//vjjKUMd4CsIO4APWr9+vbKzs3XLLbdIkq644grl5+fL399frVu39nj9ev7Hb3E4HLr22ms1a9Ys7dy5U4GBgaedGBsYGHjKkZJ+/fopJCRECxcu1Jo1azRq1Kjf/M7LL79cX331lUdI+PjjjxUfH68ZM2YoOTlZiYmJ2r9/f42PY+vWrdXeJyYmys/Pr0afPxksfjnZ+JdzgmrrdH3WvHlzjRw5UsuWLdOCBQv04osvemzfvXu3Lr/88rP+fuBcRdgBbM7tdis/P1/fffedduzYodmzZ+umm25S//79NXz4cElSr1691LFjR91888364IMPlJubqy1btujBBx/U9u3ba/Q9n3zyiWbPnq3t27frwIEDWrFihb7//ntdfPHFp2yfkJCgTz75RLm5uTpy5IjHCNHIkSM1bdo0tW7dWh07dvzN7+3evbtKSkq0Z88ec13r1q114MABZWRk6Ntvv9VTTz11RlcjHTx4UBMnTtTXX3+t119/XU8//bQmTJhgbp82bZrZd6fSunVrxcXFaebMmfrmm2+0atUqPfHEEzX+/tM5VZ/93//9n959913t27dPe/bs0fvvv+/R56WlpcrKylKfPn3O+vuBcxVhB7C5tWvXKiYmRgkJCbrhhhu0YcMGPfXUU3r33XfNkQqHw6HVq1erS5cuGjVqlNq0aaNhw4YpNzdX0dHRNfqesLAwffTRR+rXr5/atGmjBx98UE888YT69u17yvaTJ0+Wn5+f2rZtq+bNm3vMpxk9erTKy8t/d1RHkiIiIjRo0CC9+uqr5rqbbrpJf/3rXzVu3Dhddtll2rJlix566KEaHYckDR8+XGVlZbrqqqs0duxYjR8/3pykLf08YvPr+T+/FBAQoNdff11fffWVLr30Uv3973/XI488UuPvP51T9VlgYKCmTZumSy65RF26dJGfn58yMjLMz7z77rtq2bKlrrvuurP+fuBc5TDO9AQxANSxjz/+WN26ddOhQ4dqFLays7PVq1cv7du3z2MCNX6+7Dw1NVW33Xab1aUAlmFkB0CD4Xa7tW/fPj300EMaMmRIjUeV2rdvr8cee8y8YR9+VlBQoD/+8Y+69dZbrS4FsBQjOwAajPT0dI0ePVqXXXaZ3nvvPZ1//vlWlwTABgg7AADA1jiNBQAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbO3/A9ZlisxwkHgHAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mask_threshold = 27\n", "\n", "dens = np.sum(coefficients, axis = -1)\n", "mask = dens > mask_threshold\n", "freq = plt.hist(dens.flatten(), bins = 20)[0]\n", "plt.ylim(0, np.max(freq[5:])*1.2)\n", "plt.plot([mask_threshold]*2, [0, np.max(freq[5:])*1.2], 'k--')\n", "plt.xlabel('Density (arb. units)')\n", "plt.ylabel('Frequency')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "b1bd000d-c10b-42f5-a973-320335cf8768", "metadata": {}, "source": [ "### Find voxel-by-voxel texture components\n", "\n", "The clustering algorithm has three tuneable parameters:\n", "\n", "1. A theshold weight. I usually use some large fraction of the weight used to mask sample from air.\n", "2. A radius. The typical radius of a texture component. Any grid mode within this distance is considered part of the same texture component. It should be significantly larger than the grid resolution.\n", "3. Max number of texture components per voxel. Usually not important if the threshold is set high enough.\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "cbb69918-62d2-4ab7-b82e-14b82490e4ac", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/das/home/carlse_m/grids_in_so3/odftt/analysis/grid_tools.py:113: RuntimeWarning: invalid value encountered in arccos\n", " dist_this = np.arccos(2*np.abs(np.einsum('ik,k->i',\n", "100%|██████████| 2809/2809 [00:54<00:00, 51.53it/s] \n" ] } ], "source": [ "# Find texture components in each voxel\n", "texture_component_tomogram = find_texture_components(\n", " coefficients,\n", " odf,\n", " density_threshold = 0.5*mask_threshold,\n", " texture_component_radius = 10.0,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "a734d051-2189-4b6e-99db-18fa6d9dfea7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 53/53 [00:00<00:00, 5186.73it/s]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# For each pixel, store the main orientation\n", "volume_shape = coefficients.shape[:-1]\n", "rotvec_tomogram = np.zeros((*volume_shape, 3))\n", "IFP_direction = np.array([1, 0, 0])\n", "for ii in tqdm(range(volume_shape[0])):\n", " for jj in range(volume_shape[1]):\n", " for kk in range(volume_shape[2]):\n", " if texture_component_tomogram[ii,jj,kk,0] != 0: \n", " rotvec_tomogram[ii, jj, kk, :] = texture_component_tomogram[ii,jj,kk,0].COM_ori.as_rotvec()\n", " \n", "fig = plt.figure(figsize = (9,5))\n", "\n", "plt.subplot(1,2,1)\n", "plt.imshow(np.sum(texture_component_tomogram != 0, axis = -1)[:,:,0])\n", "plt.title('Number of texture components per voxel')\n", "\n", "plt.subplot(1,2,2)\n", "rgb = plot_tools.IPF_color(rotvec_tomogram, IFP_direction, 'cubic')\n", "mask = np.any(texture_component_tomogram != 0, axis = -1)\n", "rgb[~mask, :] = 1\n", "plt.imshow(rgb[:,:,0])\n", "plt.title('Main texture component orientation')\n", "ax = fig.add_subplot([0.75, 0.20, 0.30, 0.30], polar = True)\n", "plot_tools.make_color_legend(ax, 'cubic')\n", "fig.show()\n" ] }, { "cell_type": "markdown", "id": "c441a6b9-2ee9-49aa-aba0-bb929ce212ff", "metadata": {}, "source": [ "### Collect texture component into grains\n", "\n", "The grain-segmentation function takes the output of the texture-component clustering output. There is one further tunable parameter, which is the a distance threshold when comparing neighboring voxels" ] }, { "cell_type": "code", "execution_count": 8, "id": "d58bbdc2-567e-4f7c-b7b6-173f75361a1b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/das/home/carlse_m/grids_in_so3/odftt/analysis/grid_tools.py:113: RuntimeWarning: invalid value encountered in arccos\n", " dist_this = np.arccos(2*np.abs(np.einsum('ik,k->i',\n" ] } ], "source": [ "\n", "sorted_grains_list = grain_segmentation(\n", " texture_component_tomogram,\n", " distance_threshold=7.0,\n", " point_group=odf.point_group,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "6c97c3c1-53ff-4985-a9e6-dd4ca1cb4371", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grain_number = 0\n", "fig = plt.figure(figsize = (9, 12))\n", "\n", "grain_index = np.zeros(geom.volume_shape)\n", "main_grain_dens = np.zeros(geom.volume_shape)\n", "\n", "for index, grain in enumerate(sorted_grains_list):\n", " where = grain.density > main_grain_dens\n", " grain_index[where] = index\n", " main_grain_dens[where] = grain.density[where]\n", "grain_index[main_grain_dens==0] = np.nan\n", "\n", "ax = plt.subplot(4,3,1)\n", "plt.imshow(grain_index[:,:,0]%10, cmap = 'Set1', interpolation = 'nearest')\n", "plt.title('Grain index')\n", "ax.grid()\n", "\n", "\n", "for grain in sorted_grains_list[:11]:\n", " ax = plt.subplot(4,3,grain_number+2)\n", " ax.imshow(np.sum(grain.density, axis=2))\n", " ax.set_title(f'Grain #{grain_number}')\n", " ax.grid()\n", " bbox = grain.bbox_voxel\n", " ax.plot([bbox[2], bbox[2], bbox[3], bbox[3], bbox[2]], [bbox[0], bbox[1], bbox[1], bbox[0], bbox[0]], '--w')\n", " grain_number+=1\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "d25b5538-439c-4ecc-a929-77a72eb98d8b", "metadata": {}, "source": [ "The information contained in each grain is now:\n", "\n", "1. Orientation field\n", "2. Density field\n", "3. Orientation space bounding box\n", "4. Real space bounding box\n", "\n" ] }, { "cell_type": "markdown", "id": "afa717ec-7754-49bd-b701-8157259f298c", "metadata": {}, "source": [ "### Euler angle sections in Bunge convention" ] }, { "cell_type": "code", "execution_count": 12, "id": "03e2d28a-2437-4f3f-9e03-a5f3cfe9a032", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/das/home/carlse_m/grids_in_so3/odftt/spharm/RBF_mapper.py:87: UserWarning: Gimbal lock detected. Setting third angle to zero since it is not possible to uniquely determine all angles.\n", " transform = RBF_to_GSH(RBF_coeffs, odf_RBF, ell_max)\n", "100%|██████████| 33/33 [00:03<00:00, 10.82it/s]\n" ] } ], "source": [ "# Change coordinate system\n", "from odftomo.spharm.RBF_mapper import RBF_mapper\n", "\n", "Psi = np.array([0, -np.pi/4])\n", "Theta = -np.linspace(0, np.pi/2, 46, endpoint=True)\n", "Phi = np.linspace(0, np.pi/2, 46, endpoint=True)\n", "\n", "# Transform from laboratory coordinate system to conventional rolling-texture system\n", "ND = np.array([0, 1, 0]); RD = np.array([0, 0, 1]); TD = np.array([1, 0, 0])\n", "g_transform = R.from_matrix(np.stack([RD, TD, -ND])) # Transform from lab coordinates to conventional rolling-texture coords.\n", "\n", "mean_texture = np.mean(coefficients, axis=(0,1,2))\n", "ODF_map, (Psi_map, Theta_map, Phi_map) = RBF_mapper(mean_texture,\n", " odf,\n", " euler_angles_tuple = (Psi, Theta, Phi),\n", " strategy='spharm',\n", " specimen_symmetry = [p*g_transform.inv() for p in point_groups.orthorhombic])\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "1b463b04-11c0-4bd4-9fbf-06b4e01480f5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make nice plot (Bunge angle convention I think. Very stange!)\n", "plt.figure(figsize = (9, 4))\n", "\n", "for ii in range(2):\n", " plt.subplot(1,2,ii+1)\n", " plt.contourf(np.clip(ODF_map[ii,:,:], 0, np.inf), extent = (90, 0, 0, 90),\n", " levels=np.linspace(0, np.max(ODF_map), 21), cmap='jet')\n", " plt.title(rf'$\\phi_2$ = {np.abs(Psi[ii])*180/np.pi:.0f}°')\n", " ticks = [0, 30, 60, 90]; labels = ['0°', '30°', '60°', '90°']\n", " plt.xticks(ticks, labels=labels)\n", " plt.yticks(ticks, labels=labels)\n", " plt.ylim(90, 0)\n", " plt.xlim(0, 90)\n", " plt.axis('scaled')\n", " if ii == 0:\n", " plt.ylabel(r'$\\Phi$', rotation=0, fontsize = 15)\n", " plt.xlabel(r'$\\phi_1$', fontsize = 15)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "c11096b4-249e-42ea-bf50-015f9a2e9cdb", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "mumott_dev in p2085", "language": "python", "name": "mumott_dev" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.18" } }, "nbformat": 4, "nbformat_minor": 5 }